diff --git a/src/common.cairo b/src/common.cairo
index 95b44e817..8083003bd 100644
--- a/src/common.cairo
+++ b/src/common.cairo
@@ -3,6 +3,7 @@ mod flip_endiannes;
 mod from_span;
 mod horner_eval;
 mod to_array;
+mod math;
 
 #[cfg(test)]
 mod tests;
diff --git a/src/common/math.cairo b/src/common/math.cairo
new file mode 100644
index 000000000..b81f22ccb
--- /dev/null
+++ b/src/common/math.cairo
@@ -0,0 +1,22 @@
+fn pow(base: felt252, exp: felt252) -> felt252 {
+    if exp == 0 {
+        return 1; // Return 1 for zero exponent
+    }
+    let mut exp: u256 = exp.into();
+    let mut res = 1; // Initialize result as 1
+    let mut curr_base = base; // Current base value
+
+    loop {
+        if exp == 0 {
+            break;
+        } else {
+            if exp % 2 == 1 {
+                res = res * curr_base; // Multiply result only when exp is odd
+            }
+            curr_base = curr_base * curr_base; // Square the base for next iteration
+            exp = exp / 2; // Divide exponent by 2
+        }
+    };
+
+    res
+}
diff --git a/src/common/tests.cairo b/src/common/tests.cairo
index d944d16ca..c59c48eb2 100644
--- a/src/common/tests.cairo
+++ b/src/common/tests.cairo
@@ -3,3 +3,4 @@ mod test_flip_endiannes;
 mod test_from_span;
 mod test_horner_eval;
 mod test_to_array;
+mod test_math;
diff --git a/src/common/tests/test_math.cairo b/src/common/tests/test_math.cairo
new file mode 100644
index 000000000..9801bea41
--- /dev/null
+++ b/src/common/tests/test_math.cairo
@@ -0,0 +1,27 @@
+use cairo_verifier::common::math::pow;
+
+#[test]
+#[available_gas(9999999999)]
+fn test_pow_1() {
+    let base = 1934568044210770965733097210694395167600009938751278224656090409051406060084;
+    let exp = 69439516760000993875127;
+    assert(
+        pow(
+            base, exp
+        ) == 2804690217475462062143361339624939640984649667966511418446363596075299761851,
+        'Invalid value'
+    );
+}
+
+#[test]
+#[available_gas(9999999999)]
+fn test_pow_2() {
+    let base = 193456804421077096570009938751278224656090409051406060084;
+    let exp = 193456804421077096570009938751278224656090409051406060084;
+    assert(
+        pow(
+            base, exp
+        ) == 2672162222334975109199941471365701890765112108683608796920114577809390903720,
+        'Invalid value'
+    );
+}
diff --git a/src/fri/fri_config.cairo b/src/fri/fri_config.cairo
index 1bb8011df..a6e942811 100644
--- a/src/fri/fri_config.cairo
+++ b/src/fri/fri_config.cairo
@@ -9,6 +9,7 @@ const MAX_LAST_LAYER_LOG_DEGREE_BOUND: u32 = 15;
 const MAX_FRI_LAYERS: u32 = 15;
 const MAX_FRI_STEP: u32 = 4;
 
+#[derive(Drop)]
 struct FriConfig {
     // Log2 of the size of the input layer to FRI.
     log_input_size: felt252,
diff --git a/src/fri/fri_layer.cairo b/src/fri/fri_layer.cairo
index 2d9432d39..c0037dfbd 100644
--- a/src/fri/fri_layer.cairo
+++ b/src/fri/fri_layer.cairo
@@ -1,13 +1,17 @@
 use core::array::SpanTrait;
 use core::array::ArrayTrait;
+use cairo_verifier::fri::fri_formula::fri_formula;
+use cairo_verifier::common::math;
 
 // Constant parameters for computing the next FRI layer.
+#[derive(Drop, Copy)]
 struct FriLayerComputationParams {
     coset_size: felt252,
     fri_group: Span<felt252>,
     eval_point: felt252,
 }
 
+#[derive(Drop, Copy)]
 struct FriLayerQuery {
     index: felt252,
     y_value: felt252,
@@ -40,7 +44,7 @@ fn compute_coset_elements(
     fri_group: Span<felt252>,
 ) -> (Array<felt252>, felt252) {
     let mut coset_elements = ArrayTrait::<felt252>::new();
-    let mut coset_x_inv: felt252 = 1;
+    let mut coset_x_inv: felt252 = 0;
 
     let mut i: u32 = 0;
     let mut j: u32 = 0;
@@ -63,3 +67,81 @@ fn compute_coset_elements(
 
     (coset_elements, coset_x_inv)
 }
+
+// Computes FRI next layer for the given queries. I.e., takes the given i-th layer queries
+// and produces queries for layer i+1 (a single query for each coset in the i-th layer).
+//
+// Inputs:
+//   - n_queries: the number of input queries.
+//   - queries: input queries.
+//   - sibling_witness: a list of all the query's siblings.
+//   - params: the parameters to use for the layer computation.
+//
+// Outputs:
+//   - next_queries: queries for the next layer.
+//   - verify_indices: query indices of the given layer for Merkle verification.
+//   - verify_y_values: query y values of the given layer for Merkle verification.
+fn compute_next_layer(
+    mut n_queries: felt252,
+    queries: Span<FriLayerQuery>,
+    sibling_witness: Span<felt252>,
+    params: FriLayerComputationParams,
+) -> (Array<FriLayerQuery>, Array<felt252>, Array<felt252>) {
+    let mut next_queries = ArrayTrait::<FriLayerQuery>::new();
+    let mut verify_indices = ArrayTrait::<felt252>::new();
+    let mut verify_y_values = ArrayTrait::<felt252>::new();
+
+    let coset_size = params.coset_size;
+
+    let mut i: u32 = 0;
+    loop {
+        if n_queries == 0 {
+            break;
+        }
+
+        let coset_index = *(queries.at(i)).index;
+        assert(0_u256 <= coset_index.into(), 'Invalid value');
+
+        verify_indices.append(coset_index);
+
+        let (coset_elements, coset_x_inv) = compute_coset_elements(
+            n_queries,
+            queries,
+            sibling_witness,
+            coset_size,
+            coset_index * coset_size,
+            0,
+            params.fri_group
+        );
+
+        let coset_elements_len = coset_elements.len();
+        assert(0 <= coset_elements_len, 'Invalid value');
+
+        let coset_elements_span = coset_elements.span();
+
+        let mut j: u32 = 0;
+        loop {
+            if j == coset_elements_len {
+                break;
+            }
+            verify_y_values.append(*(coset_elements_span.at(j)));
+        };
+
+        let fri_formula_res = fri_formula(
+            coset_elements_span, params.eval_point, coset_x_inv, coset_size,
+        );
+
+        let next_x_inv = math::pow(coset_x_inv, params.coset_size);
+
+        next_queries
+            .append(
+                FriLayerQuery {
+                    index: coset_index, y_value: fri_formula_res, x_inv_value: next_x_inv
+                }
+            );
+
+        i += 1;
+    };
+
+    (next_queries, verify_indices, verify_y_values)
+}