nohup: ignoring input ============================================ Running DFlash eval: denoise_steps=1 GPUs: 8, Samples: 500 ============================================ W0407 17:09:11.529000 361 site-packages/torch/distributed/run.py:803] W0407 17:09:11.529000 361 site-packages/torch/distributed/run.py:803] ***************************************** W0407 17:09:11.529000 361 site-packages/torch/distributed/run.py:803] Setting OMP_NUM_THREADS environment variable for each process to be 1 in default, to avoid your system being overloaded, please further tune the variable for optimal performance in your application as needed. W0407 17:09:11.529000 361 site-packages/torch/distributed/run.py:803] ***************************************** Set TORCH_CUDA_ARCH_LIST to 9.0Set TORCH_CUDA_ARCH_LIST to 9.0 Set TORCH_CUDA_ARCH_LIST to 9.0 Set TORCH_CUDA_ARCH_LIST to 9.0 Set TORCH_CUDA_ARCH_LIST to 9.0 Set TORCH_CUDA_ARCH_LIST to 9.0 Set TORCH_CUDA_ARCH_LIST to 9.0 Set TORCH_CUDA_ARCH_LIST to 9.0 /workspace/hanrui/idea1/specforge/modeling/draft/llama3_eagle.py:29: UserWarning: flash_attn is not found, falling back to flex_attention. Please install flash_attn if you want to use the flash attention backend. warnings.warn( /workspace/hanrui/idea1/specforge/modeling/draft/llama3_eagle.py:29: UserWarning: flash_attn is not found, falling back to flex_attention. Please install flash_attn if you want to use the flash attention backend. warnings.warn( /workspace/hanrui/idea1/specforge/modeling/draft/llama3_eagle.py:29: UserWarning: flash_attn is not found, falling back to flex_attention. Please install flash_attn if you want to use the flash attention backend. warnings.warn( /workspace/hanrui/idea1/specforge/modeling/draft/llama3_eagle.py:29: UserWarning: flash_attn is not found, falling back to flex_attention. Please install flash_attn if you want to use the flash attention backend. warnings.warn( /workspace/hanrui/idea1/specforge/modeling/draft/llama3_eagle.py:29: UserWarning: flash_attn is not found, falling back to flex_attention. Please install flash_attn if you want to use the flash attention backend. warnings.warn( /workspace/hanrui/idea1/specforge/modeling/draft/llama3_eagle.py:29: UserWarning: flash_attn is not found, falling back to flex_attention. Please install flash_attn if you want to use the flash attention backend. warnings.warn( /workspace/hanrui/idea1/specforge/modeling/draft/llama3_eagle.py:29: UserWarning: flash_attn is not found, falling back to flex_attention. Please install flash_attn if you want to use the flash attention backend. warnings.warn( /workspace/hanrui/idea1/specforge/modeling/draft/llama3_eagle.py:29: UserWarning: flash_attn is not found, falling back to flex_attention. Please install flash_attn if you want to use the flash attention backend. warnings.warn( :1241: FutureWarning: The cuda.cudart module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.runtime module instead. :1241: FutureWarning: The cuda.cudart module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.runtime module instead. :1241: FutureWarning: The cuda.cudart module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.runtime module instead. :1241: FutureWarning: The cuda.cudart module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.runtime module instead. :1241: FutureWarning: The cuda.cudart module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.runtime module instead. :1241: FutureWarning: The cuda.cudart module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.runtime module instead. :1241: FutureWarning: The cuda.cudart module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.runtime module instead. :1241: FutureWarning: The cuda.cudart module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.runtime module instead. :1241: FutureWarning: The cuda.nvrtc module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.nvrtc module instead. :1241: FutureWarning: The cuda.nvrtc module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.nvrtc module instead. :1241: FutureWarning: The cuda.nvrtc module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.nvrtc module instead. :1241: FutureWarning: The cuda.nvrtc module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.nvrtc module instead. :1241: FutureWarning: The cuda.nvrtc module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.nvrtc module instead. :1241: FutureWarning: The cuda.nvrtc module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.nvrtc module instead. :1241: FutureWarning: The cuda.nvrtc module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.nvrtc module instead. :1241: FutureWarning: The cuda.nvrtc module is deprecated and will be removed in a future release, please switch to use the cuda.bindings.nvrtc module instead. ============================================================ DFlash Evaluation (Multi-GPU Data Parallel) ============================================================ Target model: /workspace/models/Qwen3-8B Draft model: /workspace/models/Qwen3-8B-DFlash-b16 Dataset: math500 Max samples: 500 Max new tokens: 512 Denoise steps: 1 Temperature: 0.0 GPUs: 8 Dtype: bfloat16 ============================================================ [1/4] Loading tokenizer... `torch_dtype` is deprecated! Use `dtype` instead! `torch_dtype` is deprecated! Use `dtype` instead! `torch_dtype` is deprecated! Use `dtype` instead! `torch_dtype` is deprecated! Use `dtype` instead! `torch_dtype` is deprecated! Use `dtype` instead! [2/4] Loading target model on 8 GPUs... `torch_dtype` is deprecated! Use `dtype` instead! `torch_dtype` is deprecated! Use `dtype` instead! `torch_dtype` is deprecated! Use `dtype` instead! Loading checkpoint shards: 0%| | 0/5 [00:00 Okay, so I need to find the value of f(-2) + f(-1) + f(0) where the func... [GPU 1] Sample 1/63 | tokens=512 | tau=4.10 | time=5.1s | Okay, so I need to find a way to express the double sum $\sum_{j = 1}^\i... [GPU 6] Sample 1/62 | tokens=512 | tau=3.61 | time=5.7s | Okay, so I need to find the smallest positive perfect cube that can be w... [GPU 7] Sample 1/62 | tokens=512 | tau=3.28 | time=6.0s | Okay, so I need to find the angle between two lines given by these equat... [GPU 5] Sample 1/62 | tokens=512 | tau=3.13 | time=6.3s | Okay, so I need to figure out the perimeter of a regular hexagon when I ... [GPU 4] Sample 1/62 | tokens=512 | tau=3.07 | time=6.5s | Okay, so I need to figure out which student has the greatest average spe... [GPU 3] Sample 1/63 | tokens=512 | tau=3.15 | time=6.5s | Okay, so I need to figure out how many positive whole-number divisors 19... [GPU 0] Sample 1/63 | tokens=512 | tau=2.94 | time=6.8s | Okay, so I need to convert the rectangular coordinates (0, 3) to polar c... [GPU 2] Sample 2/63 | tokens=512 | tau=3.56 | time=4.7s | Okay, so I need to find the least positive integer multiple of 30 that c... [GPU 4] Sample 2/62 | tokens=512 | tau=4.35 | time=3.9s | Okay, so I need to find the sum of the proper divisors of the sum of the... [GPU 1] Sample 2/63 | tokens=512 | tau=2.99 | time=5.6s | Okay, so I need to figure out how many different values can be obtained ... [GPU 7] Sample 2/62 | tokens=512 | tau=3.29 | time=4.9s | Okay, so I need to find the complex number w, which is the result of rot... [GPU 6] Sample 2/62 | tokens=512 | tau=2.87 | time=5.8s | Okay, so I need to find the length of DE in this diagram. Let me try to ... [GPU 3] Sample 2/63 | tokens=512 | tau=3.16 | time=5.4s | Okay, so I need to find p(8) where p(x) is a degree 5 polynomial that sa... [GPU 5] Sample 2/62 | tokens=512 | tau=2.69 | time=6.1s | Okay, so I need to find the height of a cylinder when the volume is give... [GPU 0] Sample 2/63 | tokens=512 | tau=2.99 | time=5.6s | Okay, so I need to find the distance between the two points (2, -6) and ... [GPU 7] Sample 3/62 | tokens=512 | tau=4.26 | time=3.9s | Okay, so I need to solve the equation $ x = \sqrt{11 - 2x} + 4 $. Hmm, l... [GPU 2] Sample 3/63 | tokens=512 | tau=3.27 | time=5.1s | Okay, let me try to figure out this geometry problem. So, we have a diag... [GPU 4] Sample 3/62 | tokens=512 | tau=3.07 | time=5.4s | Okay, so I need to evaluate the expression (1 + 2i) multiplied by 6, and... [GPU 1] Sample 3/63 | tokens=512 | tau=3.05 | time=5.5s | Okay, so I need to find the smallest possible value of c for the functio... [GPU 6] Sample 3/62 | tokens=512 | tau=3.34 | time=5.0s | Okay, let me try to figure out this problem. So, Denali and Nate are dog... [GPU 5] Sample 3/62 | tokens=512 | tau=3.74 | time=4.4s | Okay, so I need to find the greatest integer less than $(\sqrt{7} + \sqr... [GPU 0] Sample 3/63 | tokens=512 | tau=3.81 | time=4.4s | Okay, so I need to compute this series: 1 - 2 + 3 - 4 + 5 - ... + 99 - 1... [GPU 3] Sample 3/63 | tokens=512 | tau=2.86 | time=5.9s | Okay, so I need to find the smallest possible value of a positive real n... [GPU 7] Sample 4/62 | tokens=512 | tau=3.24 | time=5.1s | Okay, so I need to simplify the square root of 242. Hmm, let me think. I... [GPU 1] Sample 4/63 | tokens=512 | tau=3.68 | time=4.6s | Okay, so I need to solve this functional equation problem. The function ... [GPU 4] Sample 4/62 | tokens=512 | tau=3.05 | time=5.4s | Okay, so I need to figure out what happens when I rotate the complex num... [GPU 6] Sample 4/62 | tokens=512 | tau=3.44 | time=4.8s | Okay, so I need to find the product of 6 base 8 and 7 base 8, and then e... [GPU 2] Sample 4/63 | tokens=512 | tau=2.70 | time=6.4s | Okay, so I need to figure out how many ways 7 people can sit around a ro... [GPU 0] Sample 4/63 | tokens=512 | tau=3.53 | time=4.8s | Okay, so there's this worker who gets $20,000 every year and deposits it... [GPU 5] Sample 4/62 | tokens=512 | tau=3.18 | time=5.2s | Okay, so I need to figure out how many different battalions can be sent ... [GPU 3] Sample 4/63 | tokens=512 | tau=3.26 | time=5.2s | Okay, let's see. The math club is having a bake sale to raise money for ... [GPU 4] Sample 5/62 | tokens=512 | tau=5.97 | time=2.8s | Okay, so I need to find the roots of the equation $(x - 3)^3 + (x - 7)^3... [GPU 7] Sample 5/62 | tokens=512 | tau=4.09 | time=4.1s | Okay, so I need to find the greatest common factor (GCF) of 6432 and 132... [GPU 1] Sample 5/63 | tokens=512 | tau=3.46 | time=4.8s | Okay, so I need to find the eighth term of this geometric sequence: 125/... [GPU 2] Sample 5/63 | tokens=512 | tau=4.17 | time=4.3s | Okay, so I need to find the constant term in the expansion of $\left(10x... [GPU 6] Sample 5/62 | tokens=512 | tau=3.24 | time=5.1s | Okay, so I need to figure out how many calories make up a person's daily... [GPU 3] Sample 5/63 | tokens=512 | tau=4.63 | time=3.7s | Okay, so I need to find the remainder when (n + 2)(n + 4)(n + 6) is divi... [GPU 0] Sample 5/63 | tokens=512 | tau=2.86 | time=5.9s | Okay, so I need to figure out how many ways 8 people can sit around a ro... [GPU 5] Sample 5/62 | tokens=512 | tau=2.90 | time=5.6s | Okay, so I need to figure out the minimum number of degrees a regular pe... [GPU 4] Sample 6/62 | tokens=512 | tau=3.80 | time=4.4s | Okay, so Bill is walking in different directions, and I need to figure o... [GPU 7] Sample 6/62 | tokens=512 | tau=3.53 | time=4.7s | Okay, so I need to find the vertical asymptotes and the horizontal asymp... [GPU 3] Sample 6/63 | tokens=512 | tau=5.33 | time=3.2s | Okay, so I need to find the minimum value of this expression: $$ \sqrt{... [GPU 2] Sample 6/63 | tokens=512 | tau=3.46 | time=5.2s | Okay, so I need to solve this inequality: -4 < 2(x - 1) < 8. And then ex... [GPU 1] Sample 6/63 | tokens=512 | tau=2.73 | time=6.1s | Okay, so I need to find the coordinates (x, y) of the fourth vertex of a... [GPU 6] Sample 6/62 | tokens=512 | tau=3.09 | time=5.4s | Okay, so I need to find the smallest positive integer n such that all th... [GPU 4] Sample 7/62 | tokens=512 | tau=4.18 | time=4.0s | Okay, so I need to simplify this expression: the square root of (2.5 squ... [GPU 0] Sample 6/63 | tokens=512 | tau=3.51 | time=4.9s | Okay, so I need to find the side length of a regular octagon that has th... [GPU 7] Sample 7/62 | tokens=512 | tau=3.49 | time=4.7s | Okay, so I need to figure out the degree of the polynomial f. The proble... [GPU 5] Sample 6/62 | tokens=512 | tau=2.69 | time=6.1s | Okay, so I need to find tan A in this right triangle ABC where angle B i... [GPU 3] Sample 7/63 | tokens=512 | tau=3.51 | time=5.0s | Okay, so I need to find the quotient when x⁶ - 3 is divided by x + 1. Hm... [GPU 2] Sample 7/63 | tokens=512 | tau=3.69 | time=4.8s | Okay, let me try to figure out this problem. So, there are seven bags of... [GPU 1] Sample 7/63 | tokens=512 | tau=3.72 | time=4.5s | Okay, so I need to solve this equation: Half the value of 3x minus 9 is ... [GPU 4] Sample 8/62 | tokens=512 | tau=3.59 | time=4.6s | Okay, so I need to figure out the ordered triple (p, q, r) such that the... [GPU 0] Sample 7/63 | tokens=512 | tau=3.39 | time=4.9s | Okay, so I need to figure out what power of 4 equals 8. Hmm, let me thin... [GPU 7] Sample 8/62 | tokens=512 | tau=4.17 | time=4.0s | Okay, so I need to factor the polynomial $ x^8 + 3x^4 - 4 $ into monic p... [GPU 6] Sample 7/62 | tokens=512 | tau=2.87 | time=5.8s | Okay, so I need to convert the fraction 3/20 into a decimal. Hmm, let me... [GPU 5] Sample 7/62 | tokens=512 | tau=2.88 | time=5.6s | Okay, so I need to compute the arcsin of -1/2. Hmm, let me recall what a... [GPU 3] Sample 8/63 | tokens=512 | tau=3.46 | time=4.9s | Okay, so there's this problem about a class of 50 students. Some partici... [GPU 2] Sample 8/63 | tokens=512 | tau=3.58 | time=5.1s | Okay, so I need to compute 99 squared plus 99 plus 1. Let me think about... [GPU 1] Sample 8/63 | tokens=512 | tau=3.14 | time=5.3s | Okay, so Ringo is trying to calculate the modulus of (1 - i) raised to t... [GPU 4] Sample 9/62 | tokens=512 | tau=3.25 | time=5.0s | Okay, so I need to solve this equation: tan 53° tan 81° tan x° = tan 53°... [GPU 0] Sample 8/63 | tokens=512 | tau=3.64 | time=4.6s | Okay, so I need to find the value of N where the sum of the first N posi... [GPU 6] Sample 8/62 | tokens=512 | tau=3.27 | time=5.1s | Okay, so I need to find the smallest positive real number C such that th... [GPU 7] Sample 9/62 | tokens=512 | tau=2.97 | time=5.5s | Okay, so I need to convert the binary number 10101001110₂ to octal. Hmm,... [GPU 5] Sample 8/62 | tokens=512 | tau=4.29 | time=3.9s | Okay, so I need to find the value of $ a $ given that the cubic equation... [GPU 3] Sample 9/63 | tokens=512 | tau=3.27 | time=5.2s | Okay, so I need to figure out by what percentage the area of a square de... [GPU 2] Sample 9/63 | tokens=512 | tau=3.50 | time=5.1s | Okay, so I need to expand and simplify this algebraic expression: x time... [GPU 5] Sample 9/62 | tokens=512 | tau=4.58 | time=3.6s | Okay, so I need to compute the value of $ z + \frac{1}{z} + z^2 + \frac{... [GPU 0] Sample 9/63 | tokens=512 | tau=3.26 | time=5.2s | Okay, so I need to find the constant $ d $ such that the equation $ (\si... [GPU 6] Sample 9/62 | tokens=512 | tau=3.41 | time=4.9s | Okay, so I need to subtract two numbers in base 9: 58 base 9 minus 18 ba... [GPU 4] Sample 10/62 | tokens=512 | tau=2.91 | time=5.7s | Okay, so I need to figure out the domain of the function log(x²) and the... [GPU 1] Sample 9/63 | tokens=512 | tau=2.66 | time=6.4s | Okay, so I need to figure out what 1 raised to the power of 2 raised to ... [GPU 7] Sample 10/62 | tokens=512 | tau=2.98 | time=5.6s | Okay, so I need to find the value of x that makes the equation 2³ times ... [GPU 2] Sample 10/63 | tokens=512 | tau=4.47 | time=4.1s | Okay, so I need to simplify this expression: $\frac{\sec x}{\sin x} - \f... [GPU 3] Sample 10/63 | tokens=512 | tau=3.21 | time=5.4s | Okay, so I need to find the probability that when I throw two fair 6-sid... [GPU 4] Sample 11/62 | tokens=512 | tau=4.52 | time=3.7s | Okay, so I need to find the values of 'a' and 'b' such that when I multi... [GPU 5] Sample 10/62 | tokens=512 | tau=3.47 | time=4.8s | Okay, so I need to solve the equation $2^8 = 4^x$ and find the value of ... [GPU 6] Sample 10/62 | tokens=512 | tau=3.98 | time=4.2s | Okay, so I need to find real numbers a (which isn't zero) and b such tha... [GPU 0] Sample 10/63 | tokens=512 | tau=3.22 | time=5.2s | Okay, so I need to find the radius of a sphere where the volume and surf... [GPU 7] Sample 11/62 | tokens=512 | tau=3.89 | time=4.3s | Okay, so I need to solve the equation |5x - 1| = x + 3 and find the larg... [GPU 1] Sample 10/63 | tokens=512 | tau=3.24 | time=5.3s | Okay, so I need to figure out the value of 9 & 2 using this operation th... [GPU 2] Sample 11/63 | tokens=512 | tau=3.76 | time=4.8s | Okay, so I need to find the greatest possible value of the slope of the ... [GPU 4] Sample 12/62 | tokens=512 | tau=3.23 | time=5.2s | Okay, so I need to figure out the probability that exactly 4 out of 7 is... [GPU 0] Sample 11/63 | tokens=512 | tau=3.92 | time=4.3s | Okay, so I need to find the number of integer values of k in the interva... [GPU 5] Sample 11/62 | tokens=512 | tau=3.18 | time=5.2s | Okay, so I need to find the radius of a right cylindrical tank. The prob... [GPU 7] Sample 12/62 | tokens=512 | tau=4.02 | time=4.1s | Okay, so I need to find the value of y such that the projection of the v... [GPU 3] Sample 11/63 | tokens=512 | tau=2.72 | time=6.4s | Okay, so I need to solve the equation $3^{2x} + 19 = 10^x$. Hmm, let me ... [GPU 6] Sample 11/62 | tokens=512 | tau=2.75 | time=6.0s | Okay, so I need to figure out how many different outfits I can make with... [GPU 1] Sample 11/63 | tokens=512 | tau=3.22 | time=5.2s | Okay, let me try to figure out this problem. So, we have three different... [GPU 5] Sample 12/62 | tokens=512 | tau=4.25 | time=3.8s | Okay, so I need to find the value of $ c $ such that the circle given by... [GPU 2] Sample 12/63 | tokens=512 | tau=2.83 | time=6.2s | Okay, so Remmy wants to divide 10 by 2/3, but he's confused about how to... [GPU 7] Sample 13/62 | tokens=512 | tau=3.59 | time=4.6s | Okay, so I need to find the values of λ between 0 and 4 such that there'... [GPU 3] Sample 12/63 | tokens=512 | tau=3.53 | time=4.8s | Okay, so I need to find the smallest integer value of x for which the fu... [GPU 0] Sample 12/63 | tokens=512 | tau=2.91 | time=5.8s | Okay, so I need to find the largest value of 'a' such that the graph of ... [GPU 1] Sample 12/63 | tokens=512 | tau=3.89 | time=4.3s | Okay, so I need to find the greatest common divisor (GCD) of three numbe... [GPU 6] Sample 12/62 | tokens=512 | tau=3.25 | time=5.1s | Okay, so I need to find the measure of angle AFD in quadrilateral ABCD. ... [GPU 4] Sample 13/62 | tokens=512 | tau=2.55 | time=6.5s | Okay, so I need to find the measure of angle α in this hexagon inscribed... [GPU 5] Sample 13/62 | tokens=512 | tau=4.14 | time=3.9s | Okay, so I need to solve this equation: $x^{10} + (13x - 1)^{10} = 0$. T... [GPU 7] Sample 14/62 | tokens=512 | tau=3.66 | time=4.5s | Okay, so Mr. Brennan has 7 boys and 4 girls in his statistics class, and... [GPU 3] Sample 13/63 | tokens=512 | tau=3.73 | time=4.6s | Okay, so I need to find a vector v such that when I take the dot product... [GPU 0] Sample 13/63 | tokens=512 | tau=4.06 | time=4.2s | Okay, so I need to solve this equation: $$\frac{( x+ 1)(x - 3)}{5(x + 2... [GPU 2] Sample 13/63 | tokens=512 | tau=2.91 | time=6.1s | Okay, so I need to simplify this expression: (-k + 4) + (-2 + 3k). Let m... [GPU 6] Sample 13/62 | tokens=512 | tau=3.27 | time=5.1s | Okay, so I need to factor the expression ab + 5b + 2a + 10. Hmm, factori... [GPU 4] Sample 14/62 | tokens=512 | tau=3.33 | time=5.0s | Okay, so I need to find the value of k for the ellipse given by the equa... [GPU 1] Sample 13/63 | tokens=512 | tau=2.76 | time=6.1s | Okay, so there's this figure skater who starts facing north, and she beg... [GPU 5] Sample 14/62 | tokens=512 | tau=3.56 | time=4.6s | Okay, so I need to find the degree measure of the least positive angle θ... [GPU 3] Sample 14/63 | tokens=512 | tau=5.09 | time=3.4s | Okay, so I need to figure out how many elements are in the intersection ... [GPU 0] Sample 14/63 | tokens=512 | tau=4.30 | time=4.0s | Okay, so I need to find the sum of the distances from the four intersect... [GPU 6] Sample 14/62 | tokens=512 | tau=4.35 | time=3.9s | Okay, so I need to find the value of $ a_1 $ in a strictly increasing se... [GPU 1] Sample 14/63 | tokens=512 | tau=5.10 | time=3.3s | Okay, so I need to find the median number of students in 2005 for these ... [GPU 7] Sample 15/62 | tokens=512 | tau=2.69 | time=6.1s | Okay, so I need to figure out the minimum possible value of the expressi... [GPU 2] Sample 14/63 | tokens=512 | tau=3.49 | time=5.1s | Okay, so I need to find the horizontal asymptote of the function y = (4x... [GPU 4] Sample 15/62 | tokens=512 | tau=3.88 | time=4.3s | Okay, so I need to solve the equation $2^{2x} = 256^{\frac{1}{2}}$. Hmm,... [GPU 5] Sample 15/62 | tokens=512 | tau=3.13 | time=5.2s | Okay, so I need to solve the equation √(3x - 5) = 2. Hmm, let me think. ... [GPU 3] Sample 15/63 | tokens=512 | tau=3.20 | time=5.3s | Okay, so I need to figure out how many ways there are to arrange the let... [GPU 0] Sample 15/63 | tokens=512 | tau=3.75 | time=4.5s | Okay, so I need to simplify the expression (1 + √2)/(2 + √3). The proble... [GPU 1] Sample 15/63 | tokens=512 | tau=3.89 | time=4.3s | Okay, so I need to figure out the value of this expression: (26² - 24² -... [GPU 2] Sample 15/63 | tokens=512 | tau=4.25 | time=4.2s | Okay, so I need to find the product CD where C and D are integers that s... [GPU 4] Sample 16/62 | tokens=512 | tau=3.98 | time=4.2s | Okay, so I need to solve the equation |x + 5| - |3x - 6| = 0. Hmm, absol... [GPU 6] Sample 15/62 | tokens=512 | tau=3.31 | time=5.0s | Okay, so I need to find the number of ordered pairs (a, b) of integers s... [GPU 7] Sample 16/62 | tokens=512 | tau=3.41 | time=4.9s | Okay, so I need to convert the decimal number 555 into base 5. Hmm, let ... [GPU 5] Sample 16/62 | tokens=512 | tau=3.73 | time=4.4s | Okay, so I need to evaluate this expression: the ceiling of (3.6 squared... [GPU 3] Sample 16/63 | tokens=512 | tau=3.31 | time=5.2s | Okay, so I need to find the area of quadrilateral DBEF. Let me first try... [GPU 4] Sample 17/62 | tokens=512 | tau=3.96 | time=4.2s | Okay, so Rick is thinking of a positive factor of 14, and Steve is think... [GPU 2] Sample 16/63 | tokens=512 | tau=4.12 | time=4.3s | Okay, so Daniel says that the popularity of a television, which is measu... [GPU 1] Sample 16/63 | tokens=512 | tau=3.57 | time=4.7s | Okay, so I need to solve the equation (x/2) + (x/3) = 5. Hmm, let me thi... [GPU 0] Sample 16/63 | tokens=512 | tau=2.64 | time=6.5s | Okay, so I need to figure out whether the composition of these functions... [GPU 7] Sample 17/62 | tokens=512 | tau=3.24 | time=5.1s | Okay, so I need to figure out how many zeros are at the end of 42 factor... [GPU 6] Sample 16/62 | tokens=512 | tau=2.94 | time=5.6s | Okay, so I need to find z_{2002} where each term is defined by iterating... [GPU 5] Sample 17/62 | tokens=512 | tau=3.53 | time=4.6s | Okay, so I need to figure out the measure of the largest angle in this c... [GPU 4] Sample 18/62 | tokens=512 | tau=4.65 | time=3.5s | Okay, so I need to find the greatest possible value of the greatest comm... [GPU 3] Sample 17/63 | tokens=512 | tau=3.46 | time=5.0s | Okay, so I need to find the value of f(3) given that f(-3) = 2 for the f... [GPU 1] Sample 17/63 | tokens=512 | tau=3.37 | time=4.9s | Okay, so I need to find the area of triangle ACD in triangle ABC where A... [GPU 7] Sample 18/62 | tokens=512 | tau=3.55 | time=4.6s | Okay, so I need to find the area of triangle OAB, given the vectors OA a... [GPU 2] Sample 17/63 | tokens=512 | tau=2.94 | time=5.9s | Okay, so I need to find an integer n between 0 and 17 (since 0 ≤ n < 18)... [GPU 6] Sample 17/62 | tokens=512 | tau=3.66 | time=4.5s | Okay, so I need to find the equation of a hyperbola given two foci, F₁ =... [GPU 0] Sample 17/63 | tokens=512 | tau=2.78 | time=6.2s | Okay, so Suzanne walks four miles every third day. The question is askin... [GPU 5] Sample 18/62 | tokens=512 | tau=3.22 | time=5.0s | Okay, so Zach has three bags and a bunch of pencils. He needs to place t... [GPU 4] Sample 19/62 | tokens=512 | tau=3.39 | time=4.9s | Okay, so I need to solve the equation 2/3 equals 4 divided by (x minus 5... [GPU 3] Sample 18/63 | tokens=512 | tau=4.20 | time=4.1s | Okay, so I need to find the maximum value of the function $ f(x, y) = x ... [GPU 1] Sample 18/63 | tokens=512 | tau=3.96 | time=4.2s | Okay, so I need to divide 413 base 5 by 2 base 5 and give the answer in ... [GPU 7] Sample 19/62 | tokens=512 | tau=3.22 | time=5.1s | Okay, so I need to find the square of the determinant of a 3x3 matrix wi... [GPU 6] Sample 18/62 | tokens=512 | tau=3.16 | time=5.2s | Okay, so I need to figure out how many ways the Senate committee can sit... [GPU 5] Sample 19/62 | tokens=512 | tau=4.10 | time=4.0s | Okay, let's try to figure out Rosa's age. The problem says that when her... [GPU 2] Sample 18/63 | tokens=512 | tau=2.93 | time=6.0s | Okay, so Bob and Alice each have a bag with balls of five different colo... [GPU 0] Sample 18/63 | tokens=512 | tau=3.16 | time=5.5s | Okay, so I need to find the sum of all possible values of n for a sequen... [GPU 4] Sample 20/62 | tokens=512 | tau=3.37 | time=5.0s | Okay, so there's this problem about two runners, A and B, starting from ... [GPU 1] Sample 19/63 | tokens=512 | tau=4.06 | time=4.1s | Okay, so I need to find $ z^{85} + \frac{1}{z^{85}} $ given that $ z + \... [GPU 3] Sample 19/63 | tokens=512 | tau=3.46 | time=4.9s | Okay, so I need to find the minimum value of the expression $ x^4 + 4y^2... [GPU 7] Sample 20/62 | tokens=512 | tau=3.57 | time=4.6s | Okay, so I need to rewrite the quadratic equation $x^2 + 2.6x + 3.6$ in ... [GPU 6] Sample 19/62 | tokens=512 | tau=3.85 | time=4.3s | Okay, so I need to figure out what f(2015, 2) is based on this recursive... [GPU 5] Sample 20/62 | tokens=512 | tau=3.68 | time=4.4s | Okay, so I need to find the value of a + b + c, where a, b, and c are th... [GPU 0] Sample 19/63 | tokens=512 | tau=3.02 | time=5.7s | Okay, so I need to find the point on the curve that's given by the param... [GPU 3] Sample 20/63 | tokens=512 | tau=3.54 | time=4.9s | Okay, so I need to find the probability that a randomly selected point (... [GPU 2] Sample 19/63 | tokens=512 | tau=2.67 | time=6.7s | Okay, so I need to simplify the fraction 3 over the square root of 27. L... [GPU 4] Sample 21/62 | tokens=512 | tau=3.10 | time=5.4s | Okay, so I need to simplify the expression tan 100° + 4 sin 100°. Hmm, l... [GPU 1] Sample 20/63 | tokens=512 | tau=3.13 | time=5.4s | Okay, so I need to find the probability that three randomly chosen point... [GPU 6] Sample 20/62 | tokens=512 | tau=4.07 | time=4.1s | Okay, so I need to find the sum of all multiples of 7 between 100 and 20... [GPU 5] Sample 21/62 | tokens=512 | tau=3.70 | time=4.4s | Okay, let me try to figure out this problem. So, there's a bookcase with... [GPU 7] Sample 21/62 | tokens=512 | tau=3.14 | time=5.4s | Okay, so I need to find the volume of a cone. The formula given is V equ... [GPU 3] Sample 21/63 | tokens=512 | tau=4.47 | time=3.9s | Okay, so I need to find the greatest possible value of the expression $\... [GPU 4] Sample 22/62 | tokens=512 | tau=4.28 | time=3.9s | Okay, so I need to find the sixth term of an arithmetic sequence where t... [GPU 2] Sample 20/63 | tokens=512 | tau=3.59 | time=4.9s | Okay, so there's this gecko in a room, and it needs to get to a fly. The... [GPU 1] Sample 21/63 | tokens=512 | tau=3.33 | time=5.0s | Okay, so I need to evaluate log base 2 of 64. Hmm, let me think. Logarit... [GPU 0] Sample 20/63 | tokens=512 | tau=2.80 | time=6.1s | Okay, so I need to find the area of triangle ENG in triangle ABC, where ... [GPU 7] Sample 22/62 | tokens=512 | tau=4.70 | time=3.5s | Okay, so I need to find the smallest possible value of |m - n| where m a... [GPU 5] Sample 22/62 | tokens=512 | tau=3.74 | time=4.4s | Okay, so I need to find the smallest positive integer value of 'a' such ... [GPU 6] Sample 21/62 | tokens=512 | tau=3.06 | time=5.4s | Okay, so I need to find the measure of angle BAC, where there's a square... [GPU 4] Sample 23/62 | tokens=512 | tau=4.25 | time=4.0s | Okay, so I need to figure out how many positive two-digit integers are f... [GPU 3] Sample 22/63 | tokens=512 | tau=3.49 | time=4.9s | Okay, so Louis and Jack are sharing a pie, and I need to figure out how ... [GPU 2] Sample 21/63 | tokens=512 | tau=3.86 | time=4.6s | Okay, so I need to find the probability that a randomly selected integer... [GPU 1] Sample 22/63 | tokens=512 | tau=3.43 | time=4.8s | Okay, so I need to find the area of a triangle with sides 5, 5, and 6 un... [GPU 7] Sample 23/62 | tokens=512 | tau=3.71 | time=4.4s | Okay, so I need to figure out how to write the expression √2 + 1/√2 + √3... [GPU 0] Sample 21/63 | tokens=512 | tau=3.61 | time=4.8s | Okay, so I need to find two consecutive positive even integers whose pro... [GPU 5] Sample 23/62 | tokens=512 | tau=3.68 | time=4.4s | Okay, so I need to simplify this expression: the square root of the cube... [GPU 4] Sample 24/62 | tokens=512 | tau=5.18 | time=3.2s | Okay, so I need to find the largest x-value where the graphs of f(x) and... [GPU 6] Sample 22/62 | tokens=512 | tau=3.36 | time=5.0s | Okay, so I need to figure out how many y-intercepts the graph of the par... [GPU 3] Sample 23/63 | tokens=512 | tau=4.10 | time=4.2s | Okay, so I need to find the equation of the plane that contains the thre... [GPU 2] Sample 22/63 | tokens=512 | tau=3.64 | time=4.9s | Okay, so I need to find the product of the y-coordinates of all the dist... [GPU 5] Sample 24/62 | tokens=512 | tau=3.79 | time=4.3s | Okay, so I need to figure out the greatest length of rope that can be sa... [GPU 7] Sample 24/62 | tokens=512 | tau=3.53 | time=4.7s | Okay, so I need to find the value of b when the point (a, b) is on the l... [GPU 1] Sample 23/63 | tokens=512 | tau=3.45 | time=4.8s | Okay, so I need to find the degree measure of the smallest angle in tria... [GPU 4] Sample 25/62 | tokens=512 | tau=3.33 | time=5.0s | Okay, so I need to solve this equation: 441 plus 2 times 21 times 19 plu... [GPU 0] Sample 22/63 | tokens=512 | tau=2.97 | time=5.8s | Okay, so I need to figure out the value of n for a 3×n grid of points wh... [GPU 6] Sample 23/62 | tokens=512 | tau=3.32 | time=5.0s | Okay, so I need to figure out how many students are at Baker Middle Scho... [GPU 3] Sample 24/63 | tokens=512 | tau=3.75 | time=4.5s | Okay, so Hillary has eleven coins, and they're all either dimes or nicke... [GPU 2] Sample 23/63 | tokens=512 | tau=4.15 | time=4.3s | Okay, so I need to find the positive square root of the product 10 times... [GPU 5] Sample 25/62 | tokens=512 | tau=3.79 | time=4.3s | Okay, so I need to figure out how many possible integer values of x ther... [GPU 7] Sample 25/62 | tokens=512 | tau=3.70 | time=4.4s | Okay, so I need to find the value of x such that the arithmetic mean of ... [GPU 6] Sample 24/62 | tokens=512 | tau=4.02 | time=4.2s | Okay, so Paul and Jesse each pick a number at random from the first six ... [GPU 1] Sample 24/63 | tokens=512 | tau=2.81 | time=5.9s | Okay, so I need to find the value of k such that (3^k)^6 equals 3^6. Let... [GPU 4] Sample 26/62 | tokens=512 | tau=3.28 | time=5.0s | Okay, so I need to find the maximum value of the product |(a + b)(a + c)... [GPU 3] Sample 25/63 | tokens=512 | tau=3.88 | time=4.4s | Okay, so I need to find p(0) + p(4) where p(x) is a monic polynomial of ... [GPU 0] Sample 23/63 | tokens=512 | tau=3.04 | time=5.6s | Okay, so I need to convert the fraction 21 divided by (2 squared times 5... [GPU 2] Sample 24/63 | tokens=512 | tau=3.31 | time=5.4s | Okay, so I need to figure out for how many positive integers n > 1 it's ... [GPU 5] Sample 26/62 | tokens=512 | tau=2.94 | time=5.5s | Okay, so I need to find the matrix A multiplied by the vector (-13, 3, 4... [GPU 7] Sample 26/62 | tokens=512 | tau=2.99 | time=5.4s | Okay, so Mikka wants to order a pizza with two different toppings, and h... [GPU 1] Sample 25/63 | tokens=512 | tau=3.66 | time=4.6s | Okay, so I need to find the number of different possible rational roots ... [GPU 3] Sample 26/63 | tokens=512 | tau=4.66 | time=3.7s | Okay, so I need to find the remainder when this big polynomial is divide... [GPU 4] Sample 27/62 | tokens=512 | tau=3.60 | time=4.6s | Okay, let's see. Frank took a 100-question test. Each correct answer giv... [GPU 0] Sample 24/63 | tokens=512 | tau=3.85 | time=4.4s | Okay, so I need to find all possible values of the expression $\frac{c}{... [GPU 5] Sample 27/62 | tokens=512 | tau=6.59 | time=2.5s | Okay, so I need to compute the infinite sum $\sum_{n = 1}^\infty \frac{F... [GPU 6] Sample 25/62 | tokens=512 | tau=2.50 | time=6.6s | Okay, so I need to figure out how many ways 6 girls and 2 boys can sit i... [GPU 7] Sample 27/62 | tokens=512 | tau=4.03 | time=4.0s | Okay, so I need to find the value of $ x^3 - 2x + 1 $ given that $ x^2 -... [GPU 2] Sample 25/63 | tokens=512 | tau=3.41 | time=5.2s | Okay, so I need to find the maximum value of the expression $\frac{x - y... [GPU 4] Sample 28/62 | tokens=512 | tau=3.82 | time=4.3s | Okay, so Sam is carrying a 2-gallon bucket of milk, and he needs to walk... [GPU 1] Sample 26/63 | tokens=512 | tau=3.26 | time=5.1s | Okay, so there's this problem about a group of N students, and N is less... [GPU 3] Sample 27/63 | tokens=512 | tau=3.18 | time=5.4s | Okay, so I need to figure out how to compute this expression: 5^5 divide... [GPU 6] Sample 26/62 | tokens=512 | tau=4.71 | time=3.6s | Okay, so I need to find the equation of a line given its parametric equa... [GPU 5] Sample 28/62 | tokens=512 | tau=3.88 | time=4.2s | Okay, so I need to find the smallest positive integer k such that when I... [GPU 0] Sample 25/63 | tokens=512 | tau=3.20 | time=5.3s | Okay, so I need to find the length of the median QM in triangle PQR wher... [GPU 7] Sample 28/62 | tokens=512 | tau=3.90 | time=4.2s | Okay, so I need to find the sum of the digits in the terminating decimal... [GPU 4] Sample 29/62 | tokens=512 | tau=4.65 | time=3.6s | Okay, so I need to find the region of the volume enclosed by the set S, ... [GPU 1] Sample 27/63 | tokens=512 | tau=4.54 | time=3.7s | Okay, so I need to find a two-digit integer AB such that when it's cubed... [GPU 3] Sample 28/63 | tokens=512 | tau=3.61 | time=4.7s | Okay, so I need to figure out the probability that when I spin this whee... [GPU 2] Sample 26/63 | tokens=512 | tau=2.71 | time=6.5s | Okay, so Alice and Bob are playing this game where they take turns flipp... [GPU 6] Sample 27/62 | tokens=512 | tau=3.17 | time=5.2s | Okay, let's try to figure out how many students take physics. There are ... [GPU 0] Sample 26/63 | tokens=512 | tau=3.36 | time=5.1s | Okay, so I need to figure out how many daps equal 42 baps. Let me start ... [GPU 5] Sample 29/62 | tokens=512 | tau=2.94 | time=5.5s | Okay, so Yann and Camille are going to a restaurant, and there are 10 it... [GPU 7] Sample 29/62 | tokens=512 | tau=3.74 | time=4.4s | Okay, let's try to figure out how old Chris is now. The problem says tha... [GPU 4] Sample 30/62 | tokens=512 | tau=3.63 | time=4.6s | Okay, so I need to compute the value of this expression: 1 over cos squa... [GPU 1] Sample 28/63 | tokens=512 | tau=3.61 | time=4.6s | Okay, so I need to find the smallest positive multiple of 450 where all ... [GPU 0] Sample 27/63 | tokens=512 | tau=4.15 | time=4.1s | Okay, so I need to figure out how many numbers from 1 to 100 are divisib... [GPU 2] Sample 27/63 | tokens=512 | tau=3.31 | time=5.4s | Okay, so I need to find the total area of the shaded region in this figu... [GPU 6] Sample 28/62 | tokens=512 | tau=3.24 | time=5.1s | Okay, so I need to find the area of triangle CDE given that the area of ... [GPU 5] Sample 30/62 | tokens=512 | tau=3.15 | time=5.2s | Okay, so I need to find the value of x + y + z given that xy = 24, xz = ... [GPU 3] Sample 29/63 | tokens=512 | tau=2.55 | time=6.7s | Okay, so I need to figure out what shape the equation z = c represents i... [GPU 7] Sample 30/62 | tokens=512 | tau=3.25 | time=5.0s | Okay, so I need to solve this problem about parallelograms bounded by li... [GPU 4] Sample 31/62 | tokens=512 | tau=3.52 | time=4.7s | Okay, so I need to figure out how many sides a convex polygon has if the... [GPU 1] Sample 29/63 | tokens=512 | tau=4.16 | time=4.1s | Okay, so I need to find the value of this expression when x is 4. The ex... [GPU 2] Sample 28/63 | tokens=512 | tau=3.48 | time=5.2s | Okay, so I need to find the midpoint between two points, (-5, 5) and (3,... [GPU 0] Sample 28/63 | tokens=512 | tau=3.03 | time=5.7s | Okay, so I need to figure out how much 56 Drinkets is worth in Trinkets.... [GPU 6] Sample 29/62 | tokens=512 | tau=3.05 | time=5.5s | Okay, so I need to find the maximum value of e given these two equations... [GPU 5] Sample 31/62 | tokens=512 | tau=3.33 | time=4.9s | Okay, so I need to find the remainder when this big polynomial f(x) is d... [GPU 4] Sample 32/62 | tokens=512 | tau=3.89 | time=4.3s | Okay, so I need to find the maximum value of the function $ 4(x + 7)(2 -... [GPU 3] Sample 30/63 | tokens=512 | tau=3.54 | time=4.9s | Okay, so I need to compute this expression: 0.7 repeating minus 0.4 repe... [GPU 7] Sample 31/62 | tokens=512 | tau=3.27 | time=5.0s | Okay, so I need to find the value of p(3)/p(4) where p(x) is a quadratic... [GPU 1] Sample 30/63 | tokens=512 | tau=3.26 | time=5.1s | Okay, so I need to find the smallest possible angle between vectors a an... [GPU 6] Sample 30/62 | tokens=512 | tau=4.50 | time=3.7s | Okay, so I need to figure out the real values of x that are not in the d... [GPU 0] Sample 29/63 | tokens=512 | tau=3.72 | time=4.6s | Okay, so I need to find the value of the product sin20° sin40° sin60° si... [GPU 7] Sample 32/62 | tokens=512 | tau=3.87 | time=4.3s | Okay, so I need to figure out what kind of curve is defined by the equat... [GPU 2] Sample 29/63 | tokens=512 | tau=3.27 | time=5.5s | Okay, so I need to figure out how many ways there are to put 5 indisting... [GPU 3] Sample 31/63 | tokens=512 | tau=3.51 | time=5.0s | Okay, so I need to figure out the length of the third side of a triangle... [GPU 4] Sample 33/62 | tokens=512 | tau=3.17 | time=5.2s | Okay, so I need to find the angle ABC, which is the angle at point B for... [GPU 5] Sample 32/62 | tokens=512 | tau=3.02 | time=5.5s | Okay, so I need to figure out what fraction of 2 feet is 3 inches. Hmm, ... [GPU 1] Sample 31/63 | tokens=512 | tau=3.27 | time=5.1s | Okay, so I need to find the smallest distance between the origin (0,0) a... [GPU 6] Sample 31/62 | tokens=512 | tau=3.37 | time=5.0s | Okay, so there's this problem about twelve friends who went to dinner, a... [GPU 0] Sample 30/63 | tokens=512 | tau=3.24 | time=5.3s | Okay, so I need to evaluate the sum S = 1/(1 + ω) + 1/(1 + ω²) + ... + 1... [GPU 2] Sample 30/63 | tokens=512 | tau=3.97 | time=4.5s | Okay, so I need to find the sum of the roots of the function g(x), which... [GPU 7] Sample 33/62 | tokens=512 | tau=3.46 | time=4.7s | Okay, so I need to figure out how many sides a regular polygon has if it... [GPU 4] Sample 34/62 | tokens=512 | tau=3.79 | time=4.4s | Okay, so I need to find the remainder when the sum of numbers from 1 to ... [GPU 5] Sample 33/62 | tokens=512 | tau=3.01 | time=5.4s | Okay, so I need to find the measure of angle B in triangle ABC, where an... [GPU 1] Sample 32/63 | tokens=512 | tau=3.46 | time=4.8s | Okay, so I need to find an odd integer t between 0 and 23 such that t + ... [GPU 3] Sample 32/63 | tokens=512 | tau=2.88 | time=6.0s | Okay, so there's this problem about six cars pulling up to a red light o... [GPU 6] Sample 32/62 | tokens=512 | tau=3.23 | time=5.2s | Okay, so Pat wants to select six cookies from a tray that has chocolate ... [GPU 0] Sample 31/63 | tokens=512 | tau=3.94 | time=4.3s | Okay, so I need to find the measure of angle PQR in this diagram. Let me... [GPU 7] Sample 34/62 | tokens=512 | tau=3.82 | time=4.3s | Okay, so I need to find the inverse of 997 modulo 1000. That means I nee... [GPU 4] Sample 35/62 | tokens=512 | tau=3.75 | time=4.4s | Okay, so I need to figure out for how many real values of x the expressi... [GPU 2] Sample 31/63 | tokens=512 | tau=3.05 | time=5.9s | Okay, so I need to figure out how much money will be in the investment a... [GPU 5] Sample 34/62 | tokens=512 | tau=3.28 | time=5.1s | Okay, so I need to figure out how many distinct arrangements there are f... [GPU 1] Sample 33/63 | tokens=512 | tau=3.27 | time=5.1s | Okay, so I need to find the total surface area of a cube that has a volu... [GPU 3] Sample 33/63 | tokens=512 | tau=2.97 | time=5.8s | Okay, so I need to compute the product of the number 5 plus the square r... [GPU 4] Sample 36/62 | tokens=512 | tau=5.51 | time=3.1s | Okay, so I need to solve the equation: $$ \sin \left( \tan^{-1} (x) + \... [GPU 6] Sample 33/62 | tokens=512 | tau=3.76 | time=4.4s | Okay, so I need to solve the equation $10^x - 10 = 9990$. Let me think a... [GPU 0] Sample 32/63 | tokens=512 | tau=3.68 | time=4.7s | Okay, so I need to compute A^27 + A^31 + A^40 where A is the matrix [[3,... [GPU 7] Sample 35/62 | tokens=512 | tau=3.26 | time=5.1s | Okay, so I need to figure out the difference between the area of the reg... [GPU 1] Sample 34/63 | tokens=512 | tau=4.22 | time=4.0s | Okay, so I need to find the 2003rd term of the sequence of odd numbers: ... [GPU 2] Sample 32/63 | tokens=512 | tau=3.57 | time=5.0s | Okay, so I need to find the x-intercept (a), the y-intercept (b), and th... [GPU 4] Sample 37/62 | tokens=512 | tau=5.49 | time=3.1s | Okay, so I need to find the value of $ x_{531} + x_{753} + x_{975} $ giv... [GPU 5] Sample 35/62 | tokens=512 | tau=3.22 | time=5.1s | Okay, so I need to figure out what the square root of 53 is in its simpl... [GPU 3] Sample 34/63 | tokens=512 | tau=2.85 | time=6.1s | Okay, so I need to find the sum of the measures of angle J and angle H i... [GPU 0] Sample 33/63 | tokens=512 | tau=3.56 | time=4.8s | Okay, so I need to simplify this expression: (1/5) multiplied by (8/7) d... [GPU 6] Sample 34/62 | tokens=512 | tau=3.07 | time=5.4s | Okay, so I need to figure out how many more dollars Pam pays than Susan ... [GPU 7] Sample 36/62 | tokens=512 | tau=2.78 | time=5.9s | Okay, so I need to figure out after how many seconds both gears will hav... [GPU 1] Sample 35/63 | tokens=512 | tau=3.54 | time=4.7s | Okay, so I need to figure out how many dollars are equivalent to 1,000,0... [GPU 2] Sample 33/63 | tokens=512 | tau=3.67 | time=4.9s | Okay, so I need to figure out how many blue marbles were in the bag orig... [GPU 5] Sample 36/62 | tokens=512 | tau=3.61 | time=4.5s | Okay, so Steve is thinking of a polynomial with all positive integer roo... [GPU 4] Sample 38/62 | tokens=512 | tau=3.01 | time=5.6s | Okay, so I need to figure out the maximum number of points where at leas... [GPU 3] Sample 35/63 | tokens=512 | tau=3.46 | time=5.0s | Okay, so I need to find the value of g(f(5) - 1). Let me start by recall... [GPU 6] Sample 35/62 | tokens=512 | tau=3.53 | time=4.7s | Okay, so I need to figure out the largest eight-digit number in base 2, ... [GPU 0] Sample 34/63 | tokens=512 | tau=3.39 | time=5.0s | Okay, so I need to find the length of BH in this figure. Let me try to v... [GPU 7] Sample 37/62 | tokens=512 | tau=3.92 | time=4.2s | Okay, so I need to solve this equation: $ z^4 + 4z^3i - 6z^2 - 4zi - i =... [GPU 1] Sample 36/63 | tokens=512 | tau=3.25 | time=5.1s | Okay, so I need to find the measure of angle A in this regular pentagon ... [GPU 2] Sample 34/63 | tokens=512 | tau=3.53 | time=5.1s | Okay, so I need to find the probability that a randomly selected number ... [GPU 5] Sample 37/62 | tokens=512 | tau=3.44 | time=4.8s | Okay, so I need to find all values of p that satisfy both inequalities: ... [GPU 4] Sample 39/62 | tokens=512 | tau=2.83 | time=5.8s | Okay, so I need to find the surface area of one of the pieces created wh... [GPU 6] Sample 36/62 | tokens=512 | tau=3.47 | time=4.8s | Okay, so I need to compute the sum over all triples (a, b, c) of positiv... [GPU 0] Sample 35/63 | tokens=512 | tau=3.28 | time=5.2s | Okay, so I need to convert the repeating decimal 0.133113311331... into ... [GPU 3] Sample 36/63 | tokens=512 | tau=2.99 | time=5.8s | Okay, so I need to figure out what (4 5/8)^55 multiplied by (8/37)^55 is... [GPU 1] Sample 37/63 | tokens=512 | tau=3.40 | time=4.9s | Okay, so I need to find the minimum value of the expression $(a + b + c ... [GPU 7] Sample 38/62 | tokens=512 | tau=2.78 | time=6.0s | Okay, so I need to find the area of triangle ACD in this trapezoid ABCD ... [GPU 5] Sample 38/62 | tokens=512 | tau=3.10 | time=5.2s | Okay, so I need to figure out the average price of Juan's stamps from th... [GPU 4] Sample 40/62 | tokens=512 | tau=4.00 | time=4.2s | Okay, so I need to factor the quadratic expression $10x^2 - x - 24$ into... [GPU 2] Sample 35/63 | tokens=512 | tau=2.69 | time=6.6s | Okay, so I need to find the perimeter of this set S. Let me try to visua... [GPU 6] Sample 37/62 | tokens=512 | tau=4.17 | time=4.0s | Okay, so I need to find three consecutive positive integers where their ... [GPU 0] Sample 36/63 | tokens=512 | tau=4.08 | time=4.2s | Okay, so I need to figure out how many whole-number divisors the express... [GPU 7] Sample 39/62 | tokens=512 | tau=3.71 | time=4.5s | Okay, so I need to find the value of n where the sum 1 + 12 + 123 + 1234... [GPU 3] Sample 37/63 | tokens=512 | tau=3.03 | time=5.7s | Okay, so I need to figure out how many integer coordinate points are str... [GPU 2] Sample 36/63 | tokens=512 | tau=6.27 | time=2.9s | Okay, let me try to figure out this sequence problem. The sequence start... [GPU 1] Sample 38/63 | tokens=512 | tau=3.32 | time=5.1s | Okay, so I need to figure out the smallest number of leaves in a book wh... [GPU 5] Sample 39/62 | tokens=512 | tau=3.49 | time=4.7s | Okay, so I need to find the least possible sum of a set of distinct posi... [GPU 4] Sample 41/62 | tokens=512 | tau=2.83 | time=5.8s | Okay, so I need to find the measure of angle ADC in this diagram with tw... [GPU 0] Sample 37/63 | tokens=512 | tau=3.96 | time=4.3s | Okay, so I need to find the distance between two parallel lines. Let me ... [GPU 6] Sample 38/62 | tokens=512 | tau=3.13 | time=5.3s | Okay, so I need to figure out how many digits repeat in the decimal expa... [GPU 7] Sample 40/62 | tokens=512 | tau=3.98 | time=4.2s | Okay, so I need to solve the equation |x - 4| - 10 = 2 and find the prod... [GPU 2] Sample 37/63 | tokens=512 | tau=4.13 | time=4.4s | Okay, so I need to find the value of r that satisfies the equation (6r² ... [GPU 3] Sample 38/63 | tokens=512 | tau=3.46 | time=5.0s | Okay, so I need to figure out how many integer coordinates are strictly ... [GPU 1] Sample 39/63 | tokens=512 | tau=3.45 | time=5.0s | Okay, so I need to solve the equation √(2x)/√(3x - 1) = 3/2. Hmm, let me... [GPU 5] Sample 40/62 | tokens=512 | tau=2.96 | time=5.5s | Okay, so I need to find the degree of the polynomial p(x) given by that ... [GPU 0] Sample 38/63 | tokens=512 | tau=3.50 | time=4.9s | Okay, so I need to figure out which of these equations has the largest s... [GPU 4] Sample 42/62 | tokens=512 | tau=2.69 | time=6.1s | Okay, so I need to find the minimum value of (x + y)(y + z) given that x... [GPU 6] Sample 39/62 | tokens=512 | tau=2.83 | time=5.9s | Okay, so I need to figure out the value of this operation @ between two ... [GPU 2] Sample 38/63 | tokens=512 | tau=4.22 | time=4.3s | Okay, so I need to compute the cross product (2b - a) × (3c + a). The pr... [GPU 7] Sample 41/62 | tokens=512 | tau=3.08 | time=5.4s | Okay, so I need to find P(5) where P(x) is a monic cubic polynomial. Let... [GPU 0] Sample 39/63 | tokens=512 | tau=5.57 | time=3.0s | Okay, so I need to find the minimum value of the function $\frac{(x + 5)... [GPU 3] Sample 39/63 | tokens=512 | tau=3.16 | time=5.5s | Okay, so I need to find the range of the function y = log base 2 of the ... [GPU 5] Sample 41/62 | tokens=512 | tau=3.63 | time=4.5s | Okay, so I need to figure out how many cylindrical beakers it takes to f... [GPU 1] Sample 40/63 | tokens=512 | tau=3.08 | time=5.4s | Okay, so Charlie is riding his unicycle, and I need to figure out the sp... [GPU 6] Sample 40/62 | tokens=512 | tau=4.03 | time=4.1s | Okay, so I need to combine these two fractions into a single fraction. T... [GPU 2] Sample 39/63 | tokens=512 | tau=4.20 | time=4.2s | Okay, so I need to find the number of quadratic equations of the form $x... [GPU 4] Sample 43/62 | tokens=512 | tau=3.42 | time=4.9s | Okay, so I need to find the angle between vectors a and a - b. The probl... [GPU 7] Sample 42/62 | tokens=512 | tau=3.52 | time=4.7s | Okay, so I need to find the remainder when the 100th term of the Fibonac... [GPU 5] Sample 42/62 | tokens=512 | tau=3.97 | time=4.2s | Okay, so I need to find the value of $ b $ in the continued fraction exp... [GPU 3] Sample 40/63 | tokens=512 | tau=3.73 | time=4.6s | Okay, so I need to find positive integers a, b, and 2009, where a < b < ... [GPU 0] Sample 40/63 | tokens=512 | tau=3.25 | time=5.2s | Okay, so I need to solve the inequality 1 divided by (x minus 5) is grea... [GPU 1] Sample 41/63 | tokens=512 | tau=2.94 | time=5.7s | Okay, so there's this robot that moves at a constant speed. It takes 2.5... [GPU 6] Sample 41/62 | tokens=512 | tau=3.63 | time=4.5s | Okay, so I need to evaluate this expression: sin(arcsin 0.4 + arcsin 0.5... [GPU 4] Sample 44/62 | tokens=512 | tau=3.51 | time=4.8s | Okay, so I need to compute the binomial coefficient $\dbinom{31}{28}$. H... [GPU 2] Sample 40/63 | tokens=512 | tau=3.44 | time=5.1s | Okay, so I need to figure out where the point (0,0) ends up after two re... [GPU 7] Sample 43/62 | tokens=512 | tau=3.08 | time=5.4s | Okay, so I need to figure out how many different license plates can be m... [GPU 5] Sample 43/62 | tokens=512 | tau=3.34 | time=4.9s | Okay, so I need to find the smallest number that is one less than twice ... [GPU 0] Sample 41/63 | tokens=512 | tau=3.41 | time=5.0s | Okay, so I need to find cos(angle RPS) given that sin(angle RPQ) is 7/25... [GPU 3] Sample 41/63 | tokens=512 | tau=2.73 | time=6.3s | Okay, so I need to find the probability that two segments AB and CD inte... [GPU 6] Sample 42/62 | tokens=512 | tau=3.45 | time=4.8s | Okay, so I need to find the value of the product abc given these three e... [GPU 1] Sample 42/63 | tokens=512 | tau=2.86 | time=5.8s | Okay, so I need to figure out the bicycle's speed in inches per second w... [GPU 4] Sample 45/62 | tokens=512 | tau=3.53 | time=4.7s | Okay, so I need to find all real numbers x such that -4 < x⁴ + 4x² < 21.... [GPU 2] Sample 41/63 | tokens=512 | tau=3.81 | time=4.6s | Okay, so I need to find the value of $ b $ given the functions $ f(x) = ... [GPU 7] Sample 44/62 | tokens=512 | tau=3.72 | time=4.4s | Okay, so I need to simplify this product of cosines: cos(2π/15) * cos(4π... [GPU 0] Sample 42/63 | tokens=512 | tau=3.63 | time=4.6s | Okay, so I need to figure out how many distinct values the function $ f(... [GPU 5] Sample 44/62 | tokens=512 | tau=2.77 | time=5.9s | Okay, so I need to figure out how many ways 8 people can be seated aroun... [GPU 6] Sample 43/62 | tokens=512 | tau=3.82 | time=4.4s | Okay, so I need to find an integer x that satisfies the inequality 1/4 <... [GPU 4] Sample 46/62 | tokens=512 | tau=4.10 | time=4.1s | Okay, so I need to figure out the equation of the set of image points af... [GPU 3] Sample 42/63 | tokens=512 | tau=3.07 | time=5.6s | Okay, so I need to simplify this expression: the square root of a fracti... [GPU 1] Sample 43/63 | tokens=512 | tau=3.47 | time=4.8s | Okay, so I need to find three consecutive integers whose product is 120,... [GPU 7] Sample 45/62 | tokens=512 | tau=4.20 | time=3.9s | Okay, so I need to find the value of $ xy + yz + zx $ given these three ... [GPU 2] Sample 42/63 | tokens=512 | tau=3.11 | time=5.7s | Okay, so I need to figure out how many ways we can form a subcommittee o... [GPU 5] Sample 45/62 | tokens=512 | tau=3.42 | time=4.7s | Okay, so I need to figure out how many possible values of x there are wh... [GPU 0] Sample 43/63 | tokens=512 | tau=3.23 | time=5.4s | Okay, so I need to find the value of 513 squared minus 487 squared. Hmm,... [GPU 6] Sample 44/62 | tokens=512 | tau=3.29 | time=5.1s | Okay, so I need to find the units digit of 18 raised to the 6th power. H... [GPU 4] Sample 47/62 | tokens=512 | tau=3.14 | time=5.2s | Okay, so I need to find the measure of angle BAC in this diagram. Let me... [GPU 1] Sample 44/63 | tokens=512 | tau=3.54 | time=4.9s | Okay, let me try to figure out this problem. So, the question is: If t(x... [GPU 7] Sample 46/62 | tokens=512 | tau=3.68 | time=4.4s | Okay, so I need to find $ f^{-1}(f^{-1}(6)) $. Let me start by recalling... [GPU 3] Sample 43/63 | tokens=512 | tau=2.96 | time=5.8s | Okay, so I need to figure out how to express a + b + c + d + e + f in te... [GPU 5] Sample 46/62 | tokens=512 | tau=6.08 | time=2.7s | Okay, so I need to figure out how many possible values there are for $ a... [GPU 2] Sample 43/63 | tokens=512 | tau=3.24 | time=5.4s | Okay, so I need to figure out what 999 in base 10 is in base six. Hmm, l... [GPU 0] Sample 44/63 | tokens=512 | tau=3.55 | time=4.8s | Okay, so I need to find the value of 'a' that makes the function f(n) co... [GPU 7] Sample 47/62 | tokens=512 | tau=4.88 | time=3.4s | Okay, so I need to find the sum of the positive divisors of 500, which i... [GPU 6] Sample 45/62 | tokens=512 | tau=3.72 | time=4.5s | Okay, so I need to figure out what kind of graph the equation $\left(\fr... [GPU 4] Sample 48/62 | tokens=512 | tau=3.65 | time=4.6s | Okay, so I need to solve the inequality $\frac{|x^2 - 81|}{x^2 - 36x} < ... [GPU 3] Sample 44/63 | tokens=512 | tau=3.64 | time=4.7s | Okay, so I need to simplify this algebraic expression: 4 times (3r³ + 5r... [GPU 1] Sample 45/63 | tokens=512 | tau=2.80 | time=6.0s | Okay, so I need to figure out how many ways I can stack my 6 different b... [GPU 5] Sample 47/62 | tokens=512 | tau=3.22 | time=5.0s | Okay, so William Sydney Porter tried to calculate (-3 + 4i) divided by (... [GPU 2] Sample 44/63 | tokens=512 | tau=3.69 | time=4.8s | Okay, so I need to solve this equation: the cube root of (x squared minu... [GPU 7] Sample 48/62 | tokens=512 | tau=4.08 | time=4.0s | Okay, so I need to solve the inequality $ x^2 - 5x - 4 \leq 10 $. Let me... [GPU 3] Sample 45/63 | tokens=512 | tau=4.94 | time=3.5s | Okay, so I need to find the minimum value of this expression: $$ \frac... [GPU 4] Sample 49/62 | tokens=512 | tau=3.84 | time=4.4s | Okay, so I need to find the smallest real number x in the domain of the ... [GPU 6] Sample 46/62 | tokens=512 | tau=3.46 | time=4.8s | Okay, so I need to find the modulo 7 remainder of the sum of all the odd... [GPU 0] Sample 45/63 | tokens=512 | tau=3.05 | time=5.6s | Okay, so I need to find the perimeter of triangle ABC, which is isoscele... [GPU 1] Sample 46/63 | tokens=512 | tau=4.09 | time=4.2s | Okay, so I need to find the side length of an equilateral triangle inscr... [GPU 5] Sample 48/62 | tokens=512 | tau=3.14 | time=5.2s | Okay, so I need to find the probability that a triangle with sides of le... [GPU 2] Sample 45/63 | tokens=512 | tau=3.39 | time=5.2s | Okay, so I need to find the median of 27 consecutive positive integers w... [GPU 7] Sample 49/62 | tokens=512 | tau=3.63 | time=4.5s | Okay, so I need to find the inverse function values for f(x) at 0 and 6,... [GPU 6] Sample 47/62 | tokens=512 | tau=3.83 | time=4.3s | Okay, so I need to figure out the difference between the positive square... [GPU 4] Sample 50/62 | tokens=512 | tau=3.63 | time=4.6s | Okay, so I need to find the area of the gray piece in this tangram puzzl... [GPU 0] Sample 46/63 | tokens=512 | tau=3.50 | time=4.9s | Okay, so I need to find the value of b in the direction vector of the li... [GPU 3] Sample 46/63 | tokens=512 | tau=3.13 | time=5.5s | Okay, so I need to solve this equation: Three plus the reciprocal of a n... [GPU 1] Sample 47/63 | tokens=512 | tau=3.68 | time=4.6s | Okay, so I need to find the area of this trapezoid. Let me recall the fo... [GPU 5] Sample 49/62 | tokens=512 | tau=3.13 | time=5.2s | Okay, so I need to find sin T in triangle RST. They told me that sin R i... [GPU 2] Sample 46/63 | tokens=512 | tau=3.34 | time=5.2s | Okay, so there's this problem about two candidates running for class pre... [GPU 7] Sample 50/62 | tokens=512 | tau=2.91 | time=5.6s | Okay, so I need to add 313.9 and 12.6 together. Let me think about how t... [GPU 0] Sample 47/63 | tokens=512 | tau=3.84 | time=4.5s | Okay, so I need to find the greatest possible perimeter of a triangle wh... [GPU 6] Sample 48/62 | tokens=512 | tau=3.21 | time=5.2s | Okay, so I need to find the largest possible area of a rectangular field... [GPU 4] Sample 51/62 | tokens=512 | tau=2.99 | time=5.6s | Okay, so Roslyn has ten boxes total. Let me try to figure out how many b... [GPU 3] Sample 47/63 | tokens=512 | tau=3.31 | time=5.2s | Okay, so I need to find the largest possible value of |a| + |b| + |c| gi... [GPU 1] Sample 48/63 | tokens=512 | tau=3.10 | time=5.4s |