Datasets:
timaeus
/
pile-dm_mathematics

Dataset card Data Studio Files
xet
Community
text
stringlengths
270
8.19k
meta
dict
ot of 765 to the nearest integer? 28 What is the square root of 58349 to the nearest integer? 242 What is 947 to the power of 1/10, to the nearest integer? 2 What is 47899 to the power of 1/2, to the nearest integer? 219 What is 9332 to the power of 1/2, to the nearest integer? 97 What is the third root of 1997 to the nearest integer? 13 What is 94292 to the power of 1/2, to the nearest integer? 307 What is the square root of 1978 to the nearest integer? 44 What is 7463 to the power of 1/2, to the nearest integer? 86 What is the cube root of 63656 to the nearest integer? 40 What is the third root of 3590 to the nearest integer? 15 What is 30441 to the power of 1/2, to the nearest integer? 174 What is 765 to the power of 1/2, to the nearest integer? 28 What is the third root of 3908 to the nearest integer? 16 What is 23863 to the power of 1/9, to the nearest integer? 3 What is the cube root of 534 to the nearest integer? 8 What is the square root of 659 to the nearest integer? 26 What is the square root of 188118 to the nearest integer? 434 What is 25480 to the power of 1/2, to the nearest integer? 160 What is the third root of 3202 to the nearest integer? 15 What is 68568 to the power of 1/2, to the nearest integer? 262 What is the square root of 863 to the nearest integer? 29 What is 14278 to the power of 1/3, to the nearest integer? 24 What is the third root of 2493 to the nearest integer? 14 What is the square root of 484 to the nearest integer? 22 What is 4540 to the power of 1/2, to the nearest integer? 67 What is 13629 to the power of 1/6, to the nearest integer? 5 What is 39 to the power of 1/2, to the nearest integer? 6 What is 3834 to the power of 1/2, to the nearest integer? 62 What is the square root of 51710 to the nearest integer? 227 What is the third root of 148 to the nearest integer? 5 What is the square root of 113021 to the nearest integer? 336 What is the square root of 37426 to the nearest integer? 193 What is the cube root of 6285 to the nearest integer? 18 What is 84191 to the power of 1/2, to the nearest integer? 290 What is the square root of 5676 to the nearest integer? 75 What is 1545 to the power of 1/4, to the nearest integer? 6 What is 717 to the power of 1/2, to the nearest integer? 27 What is the sixth root of 7354 to the nearest integer? 4 What is the ninth root of 3326 to the nearest integer? 2 What is 2401 to the power of 1/2, to the nearest integer? 49 What is the square root of 541 to the nearest integer? 23 What is 1316 to the power of 1/2, to the nearest integer? 36 What is the third root of 2837 to the nearest integer? 14 What is the third root of 770 to the nearest integer? 9 What is the square root of 57053 to the nearest integer? 239 What is 8591 to the power of 1/3, to the nearest integer? 20 What is 514 to the power of 1/2, to the nearest integer? 23 What is 3194 to the power of 1/6, to the nearest integer? 4 What is the cube root of 32454 to the nearest integer? 32 What is 17065 to the power of 1/3, to the nearest integer? 26 What is the fourth root of 3376 to the nearest integer? 8 What is the third root of 5062 to the nearest integer? 17 What is the tenth root of 708 to the nearest integer? 2 What is 17783 to the power of 1/3, to the nearest integer? 26 What is the square root of 2425 to the nearest integer? 49 What is 29191 to the power of 1/7, to the nearest integer? 4 What is 48905 to the power of 1/2, to the nearest integer? 221 What is the square root of 2059 to the nearest integer? 45 What is 1239 to the power of 1/5, to the nearest integer? 4 What is 8523 to the power of 1/4, to the nearest integer? 10 What is the third root of 813 to the nearest integer? 9 What is the eighth root of 95258 to the nearest integer? 4 What is 7222 to the power of 1/10, to the nearest integer? 2 What is 1618 to the power of 1/8, to the nearest integer? 3 What is the third root of 833 to the nearest integer? 9 What is 307 to the power of 1/7, to the nearest integer? 2 What is 8335 to the power of 1/2, to the nearest integer? 91 What is the square root of 15660 to the nearest integer? 125 What is the square root of 1678 to the nearest integer? 41 What is the cube root of 25951 to the nearest integer? 30 What is 60265 to the power of 1/8, to the nearest integer? 4 What is 498 to the power of 1/2, to the nearest integer? 22 What is 327 to the power of 1/9, to the nearest integer? 2 What is 3081 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 51461 to the nearest integer? 3 What is 3892 to the power of 1/2, to the nearest integer? 62 What is the square root of 16173 to the nearest integer? 127 What is the cube root of 3636 to the nearest integer? 15 What is the third root of 516 to the nearest integer? 8 What is 125014 to the power of 1/2, to the nearest integer? 354 What is the cube root of 14631 to the nearest integer? 24 What is the tenth root of 2471 to the nearest integer? 2 What is the square root of 77705 to the nearest integer? 279 What is 2332 to the power of 1/4, to the nearest integer? 7 What is 4266 to the power of 1/3, to the nearest integer? 16 What is the sixth root of 3342 to the nearest integer? 4 What is the square root of 865 to the nearest integer? 29 What is 73077 to the power of 1/2, to the nearest integer? 270 What is the third root of 9180 to the nearest integer? 21 What is the tenth root of 10905 to the nearest integer? 3 What is 5933 to the power of 1/4, to the nearest integer? 9 What is 1183 to the power of 1/10, to the nearest integer? 2 What is the square root of 168 to the nearest integer? 13 What is the cube root of 75893 to the nearest integer? 42 What is the third root of 39304 to the nearest integer? 34 What is 22897 to the power of 1/2, to the nearest integer? 151 What is the cube root of 25745 to the nearest integer? 30 What is 3361 to the power of 1/2, to the nearest integer? 58 What is 32908 to the power of 1/10, to the nearest integer? 3 What is 28732 to the power of 1/2, to the nearest integer? 170 What is 4169 to the power of 1/6, to the nearest integer? 4 What is 6370 to the power of 1/2, to the nearest integer? 80 What is the square root of 26036 to the nearest integer? 161 What is the seventh root of 39417 to the nearest integer? 5 What is the ninth root of 2787 to the nearest integer? 2 What is the fifth root of 11190 to the nearest integer? 6 What is the cube root of 3915 to the nearest integer? 16 What is 12186 to the power of 1/9, to the nearest integer? 3 What is 37536 to the power of 1/4, to the nearest integer? 14 What is 17762 to the power of 1/2, to the nearest integer? 133 What is the seventh root of 20875 to the nearest integer? 4 What is the cube root of 26704 to the nearest integer? 30 What is 4830 to the power of 1/7, to the nearest integer? 3 What is the square root of 279 to the nearest integer? 17 What is 56191 to the power of 1/2, to the nearest integer? 237 What is 6578 to the power of 1/2, to the nearest integer? 81 What is the fifth root of 2387 to the nearest integer? 5 What is the tenth root of 180 to the nearest integer? 2 What is 4386 to the power of 1/3, to the nearest integer? 16 What is the third root of 22889 to the nearest integer? 28 What is the third root of 82840 to the nearest integer? 44 What is 12742 to the power of 1/3, to the nearest integer? 23 What is the seventh root of 772 to the nearest integer? 3 What is 6057 to the power of 1/3, to the nearest integer? 18 What is 7001 to the power of 1/2, to the nearest integer? 84 What is the fourth root of 1448 to the nearest integer? 6 What is 72232 to the power of 1/3, to the nearest integer? 42 What is the seventh root of 103586 to the nearest integer? 5 What is the cube root of 8696 to the nearest integer? 21 What is 1089 to the power of 1/2, to the nearest integer? 33 What is the square root of 9677 to the nearest integer? 98 What is 760 to the power of 1/2, to the nearest integer? 28 What is the square root of 39167 to the nearest integer? 198 What is 611 to the power of 1/2, to the nearest integer? 25 What is the sixth root of 64913 to the nearest integer? 6 What is 2016 to the power of 1/2, to the nearest integer? 45 What is the square root of 36769 to t
{ "pile_set_name": "DM Mathematics" }
3 Find the third derivative of -8*w**6 - 2*w**5 - 97*w**2. -960*w**3 - 120*w**2 Find the third derivative of 2528*w**3 + 3*w**2 + 13 wrt w. 15168 Find the third derivative of 370*m**4 - 6*m**3 + 202*m**2 - 2*m wrt m. 8880*m - 36 Find the third derivative of -g**2*h*r**2 + 953*g**2*r**3 - 2*g*h*r**3 + 483*g*h*r**2 wrt r. 5718*g**2 - 12*g*h Find the first derivative of 6*c**3 - 457*c - 7503. 18*c**2 - 457 What is the derivative of 76*o**2*u - 103*o**2 + 4*u + 10 wrt u? 76*o**2 + 4 Find the third derivative of 262*d**3*s**2 - 2*d**3 + 68*d**2 + d*s**2 + 2*s wrt d. 1572*s**2 - 12 What is the third derivative of -8238*z**4 + 2*z**2 - 545*z - 2? -197712*z What is the third derivative of 5*t**5 - 8*t**4*v**2 - 9*t**2*v**2 + 4*t*v**2 wrt t? 300*t**2 - 192*t*v**2 What is the second derivative of 216*l**2*t**2*z - l**2*t*z - 25*l**2*z - 2*l*z - 4*t**2*z - t wrt t? 432*l**2*z - 8*z Find the second derivative of 4*r**4 + 57*r**3 - 2*r wrt r. 48*r**2 + 342*r What is the third derivative of 6*o*u**4 + o - 228*u**3 - 56*u**2 wrt u? 144*o*u - 1368 Find the first derivative of 12*i*r**2*v - 5*i*r**2 - 11*i*v + 2*r**2 + 45*r wrt v. 12*i*r**2 - 11*i Find the first derivative of 3199*u - 2847. 3199 What is the second derivative of 8155*h**2 - 24*h + 399 wrt h? 16310 What is the first derivative of -f**3*h*m + 1772*f**3*h + 2*h*m - 538 wrt f? -3*f**2*h*m + 5316*f**2*h What is the derivative of 29*d**3*q + 14*d**3 - 2*d*q + 2 wrt q? 29*d**3 - 2*d What is the derivative of 50*q + 49? 50 What is the first derivative of -894*o**4 + 1847 wrt o? -3576*o**3 What is the second derivative of -18446*n**3 + n + 2166 wrt n? -110676*n What is the third derivative of 3*z**4 + 14*z**3 + 22*z**2 + 3 wrt z? 72*z + 84 What is the second derivative of c**2*v*x**2 + 7*c**2*v - 7*c*v*x**2 + 2*c*v*x wrt c? 2*v*x**2 + 14*v What is the third derivative of -33*f**2*n**4 - 2*f**2*n**2 + 15*f**2*n - 3*n**6 wrt n? -792*f**2*n - 360*n**3 Find the third derivative of -18*m**6 - 13*m**5 + 15*m**2 - m - 35 wrt m. -2160*m**3 - 780*m**2 Find the third derivative of t**5 - t**4 + 1380*t**3 - 4*t**2 + t + 50 wrt t. 60*t**2 - 24*t + 8280 What is the first derivative of -2*i*j**3 - 5*i*j + 8425*i - 106*j**3 + j wrt j? -6*i*j**2 - 5*i - 318*j**2 + 1 Differentiate -252*b - 427 with respect to b. -252 What is the third derivative of -40*v**4 + 4*v**3 - 20530*v**2? -960*v + 24 Find the third derivative of -12631*g*r**3 - 5575*g*r**2 - 2 wrt r. -75786*g What is the second derivative of 136*a**4 - 8*a - 8? 1632*a**2 What is the derivative of -9*c**3 + 4*c - 629? -27*c**2 + 4 What is the second derivative of b**5*s**3 + 70*b**3*s**3 - 1884*b*s**3 wrt b? 20*b**3*s**3 + 420*b*s**3 Find the second derivative of f**2*r**4 + 755*f**2*r**2 + f**2 + 387*f*r wrt r. 12*f**2*r**2 + 1510*f**2 Differentiate -19*b**3*r + b**3*w - b**2*y - 2*b*r**2*w*y - 9*r**2*y + 2*w wrt r. -19*b**3 - 4*b*r*w*y - 18*r*y Find the second derivative of 1189*d**4 - 4399*d wrt d. 14268*d**2 What is the second derivative of 562*j**3*w**4 + 14*j**3*w - j**3 - j**2 wrt w? 6744*j**3*w**2 Find the first derivative of 96*c**2*o**4 + 677*c**2*t**2 + 4*o*t**2 - 2*t**2 wrt o. 384*c**2*o**3 + 4*t**2 Find the third derivative of 17*u**3*z**2 + u**3*z + 18*u**3 - 447*u**2*z**2 + 5*u*z**2 wrt u. 102*z**2 + 6*z + 108 Find the second derivative of -14*a**2*t**4 + 28*a**2 + 64*t**4 + 8*t wrt t. -168*a**2*t**2 + 768*t**2 Find the first derivative of 345*b*g*t**2 - b*g*t + b*g + 49*g*t**2 + 10*g*t wrt b. 345*g*t**2 - g*t + g Find the second derivative of -11*c**4 - 2*c**3 - 130*c + 1 wrt c. -132*c**2 - 12*c What is the derivative of 3*d**2*p**2*s**2 - 11*d**2*p**2 - 930*p**2*s + s**2 wrt d? 6*d*p**2*s**2 - 22*d*p**2 Find the third derivative of -7291*i**5 + 9*i**2 - 7*i - 6. -437460*i**2 Find the second derivative of 1780*d**4 - 343*d + 3. 21360*d**2 Differentiate 239*n + 443 with respect to n. 239 Differentiate -25*g*k**4 - g*k**2 - 363*g wrt k. -100*g*k**3 - 2*g*k Find the second derivative of -4*o**5 + 102*o - 1. -80*o**3 Find the first derivative of q**3 - 88*q**2 - 9*q - 4528. 3*q**2 - 176*q - 9 What is the third derivative of -n**3*z**6 + 4285*n**3*z**4 - 6*n**3*z**2 - 2*n**3*z - 9*z**2 - 6 wrt z? -120*n**3*z**3 + 102840*n**3*z What is the second derivative of 36*i**3*q**2 + 2*i**3*q - i**2*q**4 + 91*i wrt q? 72*i**3 - 12*i**2*q**2 Find the second derivative of 468*d**4 + 179*d wrt d. 5616*d**2 What is the first derivative of 126*i**2 + 1505 wrt i? 252*i What is the second derivative of 140*t**3 + 134*t? 840*t What is the derivative of 2*i*n - i + 654*n - 150 wrt n? 2*i + 654 What is the derivative of 4*m**4 - 445*m**3 + 1974 wrt m? 16*m**3 - 1335*m**2 What is the second derivative of -711*b**2*k**2*u + 2*b**2*k**2 - b**2*k*u - b*k**2*u - 120*b*k**2 - 2*b*k*u - b*u wrt b? -1422*k**2*u + 4*k**2 - 2*k*u Find the first derivative of w**3 + 421*w**2 + 1086. 3*w**2 + 842*w What is the second derivative of 16*a**2*f*g**3 - 105*a**2*f + a*f*g - 9*f*g**3 + 4*f wrt a? 32*f*g**3 - 210*f What is the second derivative of -63*u**5*z - 2*u**2*z**2 - 3*u**2 - u*z**2 - u*z - 2*u wrt u? -1260*u**3*z - 4*z**2 - 6 Differentiate -103*d*w - 2668*d + 3*w with respect to w. -103*d + 3 What is the third derivative of 299*d**3*u*v + d**2*u*v - d**2*v - 2*d**2 - 5*d wrt d? 1794*u*v What is the first derivative of 2596*b*z**3 - 40*z**3 - z + 1 wrt b? 2596*z**3 Differentiate -31*j + 46 with respect to j. -31 What is the second derivative of -16*z**5 - 16*z**3 - z - 672 wrt z? -320*z**3 - 96*z What is the third derivative of 542*c**3*q**4 + 170*c**3*q**2 - 3*c**2*q**5 + 25*c*q**2 wrt q? 13008*c**3*q - 180*c**2*q**2 Find the third derivative of 2*p**5 - 72*p**3 + 1787*p**2 wrt p. 120*p**2 - 432 Find the third derivative of -2*o*x**3 - o*x**2*z + 2*o*x**2 - o*x*z**2 - x**3*z**2 + 7*x**3 + 13 wrt x. -12*o - 6*z**2 + 42 Find the second derivative of -3*h*k**3 + 2*h*k**2*q - h*k*q - 10*h*q + h - 3*k**2*q - 173*k**2 wrt k. -18*h*k + 4*h*q - 6*q - 346 Differentiate 298*q**2*u*y - 4*q**2 - 2*q - 3*u with respect to y. 298*q**2*u Find the second derivative of -4*h*n**2*t**2 - h*n*t**2 + h*n*t - 4*h*n + 3*n*t wrt n. -8*h*t**2 What is the third derivative of -o**6 + 1575*o**4 - 2759*o**2 wrt o? -120*o**3 + 37800*o Find the second derivative of -7*z**3 + 7*z**2 - 1723*z wrt z. -42*z + 14 What is the third derivative of 254*b**4 + 118*b**2 - 1 wrt b? 6096*b Find the second derivative of 113*c**2*u**4 - c**2*u + 11*c**2 + 4*c wrt u. 1356*c**2*u**2 What is the derivative of -2203*z**2 + z - 1801 wrt z? -4406*z + 1 Differentiate -27*g**2*w - 691*g**2 - 5*g*w with respect to w. -27*g**2 - 5*g Find the second derivative of 3*g*i*o**2 + 13*g*o**2*v**3 + 24*g + 3*i*o**2*v**3 - 2*i*o*v**2 + i*o - 2*i*v**3 - o*v**3 wrt o. 6*g*i + 26*g*v**3 + 6*i*v**3 Find the second derivative of -3*t*y**2 + 2*t*y + y**5 - 20*y**3 - 6*y + 1 wrt y. -6*t + 20*y**3 - 120*y Find the first derivative of -27*f**2*m + 164*f**2 + 3*m wrt m. -27*f**2 + 3 Find the third derivative of 2*g**3*q*y**3 + 24*g**3*q - 6*g**2*y**3 - g**2*y - 5*g*q - q*y wrt g. 12*q*y**3 + 144*q What is the second derivative of d**2*j**5 - d**2*j - 131*d**2 - 114*d*j**5 wrt j? 20*d**2*j**3 - 2280*d*j**3 What is the third derivative of -d**4 + 28*d**3 + 2*d**2 - 337? -24*d + 168 Find the first derivative of 751*c**2*u**2 - 3*c**2 + 194*c + u**4 + 4 wrt u. 1502*c**2*u + 4*u**3 What is the second derivative of -54*f*i**3*m**2 - 7*f*i**2*m**2 + 45*f*i**2*m - 3*f*m + 2*i**3*m wrt m? -108*f*i**3 - 14*f*i**2 Find the first derivative of -257*r**4 + 2*r**2 + 362. -1028*r**3 + 4*r Find the third derivative of 2*a**4*r + 269*a**4 - 2*a**2*r - a wrt a. 48*a*r + 6456*a Differentiate -4888*c - 3993 with respect to c. -4888 What is the derivative of 374*k*o**2 - 4*o**2 - 71*o wrt k? 374*o**2 Differentiate 10*o**4 + 8*o - 85 wrt o. 40*o**3 + 8 Find the first derivative of 427*v*z**3 - 3*v*z**2 - v + 9254*z**3 wrt v. 427*z**3 - 3*z**2 - 1 Differentiate -2*f**2*o - f*o*p + 2*f*p**2 + 55*o*p**2 - o with respect to f. -4*f*o - o*p + 2*p**2 What is the third derivative of -854*g**6*p + g**3*p + g**2*p - 9*g*p + 92*p wrt g? -102480*g**3*p + 6*p Find the third derivative of 5*g**3*w**3 - g**3*w + 2*g*u*w**3 + 8*g*w**3 + u*w - w**2 + 342*w wrt w. 30*g**3 + 12*g*u + 48*g Wh
{ "pile_set_name": "DM Mathematics" }
ress -4*t**4 + 8 - 2*t**2 + 1 - 1 - 2*t**3 - 2 - t in the form i*t**2 + l*t**4 + x*t**3 + g + u*t and give g. 6 Express 26*h**2 + 13620*h**3 - 6*h**2 + 2*h - 13629*h**3 + 1 as i*h**2 + s + v*h**3 + z*h and give i. 20 Rearrange -39*m + 106 - 34*m + m**2 + 75*m to x*m**2 + o*m + s and give s. 106 Rearrange 26*a**2 - 24*a + 24*a**2 - 9*a**3 - 70*a**2 - a**4 + 23*a**2 to the form c*a + x*a**3 + k*a**2 + o + z*a**4 and give c. -24 Express -2*l + 3 - 2 + 4*l + (2*l + 2*l - 2*l)*(-2 - 1 + 2) + (0 - 2 + 1)*(-12*l - 4*l - 11*l) as o*l + a and give o. 27 Rearrange -1059*u**2 + 2*u - 3*u**3 - 1 + 2 + 1055*u**2 to s*u + t + w*u**3 + g*u**2 and give s. 2 Express -14 + 97*s**2 - 2 - 2*s**3 - 17 + 35 as f*s**3 + o*s**2 + v*s + r and give v. 0 Express -123*y - 289 + 146 + 143 as t + a*y and give a. -123 Express (-2*r**2 - 1 + 1)*(-r - r**2 + r) + 381*r**4 - 282*r**4 + 839*r**4 as t*r**3 + z*r**2 + p + x*r**4 + c*r and give c. 0 Rearrange ((2 - 3 - 2)*(-3*k**2 - 2*k**2 + k**2) - 9*k - 14*k**2 + 9*k)*(2 - 2 + k**2) to t*k**3 + a*k**2 + z*k + u*k**4 + i and give u. -2 Express -73*k + 48*k + 18*k - 30*k**3 as b + h*k**2 + d*k**3 + v*k and give d. -30 Rearrange -11*w**4 - 23*w**3 + 43*w**4 + 0*w**2 + 20*w**3 - 2*w**2 to h*w**2 + z*w**3 + c*w**4 + p*w + i and give z. -3 Express s + 2 - 4*s**3 - 1 + 3*s**3 - 21 + 0*s + s**2 as n*s**2 + x + f*s + j*s**3 and give j. -1 Rearrange (0*i**2 + 3*i**2 - i**2)*(-4 - 3 + 5 + (0 + 0 + 1)*(1 + 0 + 1) + 3 + 0 - 2 - 7 + 1 + 10)*(0 + 2 - 1) to t*i**2 + a*i + v and give t. 10 Express 5*r**3 - 6*r**3 + 2*r**3 + 313*r as k*r**2 + a + f*r**3 + s*r and give f. 1 Rearrange -17750*p**2 - 4*p**3 + 3*p**3 + 24*p**4 - 1 + 17748*p**2 to the form y*p**3 + g + k*p**4 + d*p**2 + i*p and give y. -1 Express d + d**3 - 3*d**4 - 25 - 37*d**2 + 17 + 9 + 22*d**2 in the form l + u*d + y*d**3 + g*d**2 + m*d**4 and give u. 1 Rearrange (-4*q**2 + 0*q**2 + 5*q**2)*(361*q - 179*q - 180*q + 17) to k*q + r + s*q**2 + v*q**3 and give v. 2 Express 2 + 1210*v**2 + 40*v**4 - 39*v**4 + 2*v**3 - 4*v**3 + 2*v**3 as y + x*v**4 + i*v**3 + h*v**2 + r*v and give y. 2 Rearrange 45*q + 8*q - 42*q - 5*q**2 + 20*q**2 to the form l*q**2 + m + s*q and give l. 15 Rearrange 49*q**3 - q**2 - 106*q**3 + 55*q**3 - 43*q to the form r*q**3 + f + v*q + l*q**2 and give v. -43 Express 3*g**2 - 5*g**4 + 2 + 3275*g - 3273*g - g**2 - 10*g**3 + 4*g**4 in the form b*g**2 + a*g**3 + d + k*g + i*g**4 and give k. 2 Express 100*x - 24*x - 8 - 12*x + 77*x in the form i + k*x and give k. 141 Rearrange -5*n + 2*n - 2*n**2 - 7*n + 10*n + 328 to the form m*n**2 + u + h*n and give h. 0 Rearrange 9*o + 12 + 0*o - 6*o + 7 to the form v*o + s and give v. 3 Rearrange (3*c - 3*c + 2*c)*(19 + 5*c - 19)*(7*c - 14*c - 10*c) to the form p*c + v*c**3 + l + a*c**2 and give p. 0 Rearrange 152 + 453*z + 2*z - 152 to w*z + g and give w. 455 Express 677*b - 17*b**2 - 21*b**2 - 688*b + 2*b**3 as p*b + r*b**3 + f*b**2 + q and give p. -11 Rearrange 173*u + 110*u + 54*u - 51*u to the form m*u + x and give m. 286 Express (3*p - 6 + 6)*(-1 + 1 - 2) + 2*p + 4 + 8 - 2 as g*p + o and give g. -4 Express d - 2*d**3 + 4*d + 8*d**2 - 4 + d - 3*d**2 + 3*d**2 as s + z*d**3 + y*d + o*d**2 and give s. -4 Express 156*z**2 - 157*z**2 - 38*z - 36*z - 16*z - z as k*z + s*z**2 + g and give s. -1 Express 12*j + 7*j**4 - 8*j**4 + 2*j**3 - 8*j**3 - j as o*j**2 + x*j**4 + a + g*j**3 + h*j and give g. -6 Express (3*d + 3 - 3)*(-30 + 14 + 31) + d + 3*d - 2*d in the form b + k*d and give k. 47 Express -5*b**4 + 21*b**4 + 1 - 17*b**4 + 2*b - 6*b**3 in the form n + u*b**4 + p*b**2 + j*b**3 + d*b and give n. 1 Rearrange 140*v - 34*v + 185*v + 93*v to the form j + d*v and give d. 384 Rearrange 547 - 547 + 29*i + (-1 + 1 - 2)*(-1 + 1 + i) + i + 4*i - 4*i to the form n + c*i and give c. 28 Express -21*t**2 - 4*t**4 + 2*t**3 + t**3 + 24*t**2 + 5*t - t**3 + 2 as i*t + d*t**2 + s*t**4 + a + g*t**3 and give s. -4 Express -21*q - 39*q - 17*q - 18*q - 6*q**2 + 118*q in the form k*q + p*q**2 + y and give p. -6 Rearrange 19*p + 10*p - 10*p**4 - 8*p**4 - 8*p**4 - 1 + 4*p**2 + 25*p**4 to z + f*p**2 + y*p**4 + j*p + w*p**3 and give f. 4 Express -2*j**4 - 18*j + j**4 - 25*j**2 + 17*j + 0*j**4 as q + h*j**2 + g*j**4 + n*j**3 + w*j and give g. -1 Rearrange (12 - 20*y - 12 + (-2 + 2 - 1)*(-3 + 3 + 4*y))*(0*y**3 - 2*y**3 + 3*y**3) to a*y**4 + h*y**2 + b*y**3 + r + n*y and give a. -24 Express -7*u**2 + 81*u**2 + 4 + 3*u - 3 + 10*u**2 in the form f*u + h + n*u**2 and give n. 84 Express (-2 + 2 - 1)*((0 + 2 - 1)*(-3*h + 2*h + 3*h) - 9*h + 41 - 41 + h + 3 - 3 + (h - h + h)*(-1 + 0 - 1)) as z + a*h and give a. 8 Express -3*u**4 - 12669*u**2 + 0*u**4 + 12672*u**2 + 2 + 31*u - 2*u**4 + 6*u**4 as b*u + a + n*u**4 + g*u**3 + x*u**2 and give x. 3 Express -16*t**2 + 2*t**2 - 88*t + 48*t in the form b*t**2 + s + h*t and give b. -14 Rearrange 3 - 3 + 2*w - 79*w + 162*w + 6 - 80*w + (3 - 1 - 1)*(0*w - 2*w + w) to the form a*w + b and give a. 4 Express 23*r + 27 - 6 - 8 - 9 - 12 as l*r + s and give s. -8 Express (8*w**2 - 5*w**2 + 5*w**2)*(25 - w - 26 - w) as o*w**2 + j*w**3 + m*w + p and give o. -8 Express 204*t**2 - 404*t**2 + 202*t**2 - t**3 + 43 in the form n*t**2 + s + q*t**3 + y*t and give s. 43 Express 6*q - 2*q + 10*q + 61*q + 8*q - 17*q + (0*q + 0*q + q)*(-5 + 3 + 0) + q + 3*q - 6*q as o + d*q and give d. 62 Express (2 + 0 - 3)*(0*w + 0*w + 2*w) + 9 + 14*w - 9 + 3*w - 9*w - 6*w + (-3 + 4 - 3)*(-w + 0*w - w) as n*w + a and give n. 4 Rearrange 0*r**2 + 0*r**2 + 2*r**4 + (r + 1 - 1)*(204*r**3 - 341*r**3 + 196*r**3) to m*r**2 + z*r**4 + w*r**3 + s + u*r and give z. 61 Express (293 - 151 + 22*p - 150)*(-1 + 1 - p)*(-1 - 2 + 5) in the form r + x*p + f*p**2 and give f. -44 Express (1 - 2 + 3)*(2 - 2 - 2*m) + 5 + m - 5 + (15 + 3*m - 12*m + 11*m)*(-2 + 3 + 0) as w + g*m and give w. 15 Rearrange 0*m**2 - 131*m + 145*m - m**2 to the form t*m + z*m**2 + y and give t. 14 Express (2*q + 0*q - 4*q)*((4*q + 2*q - 4*q)*(2 - 2*q - 2) - 8232*q**2 + 3774*q**2 + 4029*q**2) as c*q**2 + v*q**3 + a + s*q and give v. 866 Rearrange (4*u - 2*u - u)*(2 - 1 - 2) - 136 + 57 + 2*u + 48 + 2*u + 7 - 3 - 6 to y*u + h and give h. -33 Rearrange v**4 + 0*v**4 + 71 + v - 9*v**3 - 71 - v**3 - 4*v**2 to z*v**4 + r*v + t*v**2 + m*v**3 + l and give m. -10 Express (94 + 32 - 16)*(5 - 2 + 9)*(-4 + 4 - 2*z) in the form o*z + q and give o. -2640 Rearrange 513*m - 513*m - 329*m**2 to the form p*m**2 + l + t*m and give p. -329 Express 2*f**4 + 3123*f**3 - 1566*f**3 - 1587*f**3 - 4 + 2*f in the form u*f**2 + g*f**3 + v + y*f**4 + s*f and give s. 2 Rearrange -4*q - 462 + 866 - 449 to the form g*q + x and give x. -45 Rearrange -4*s**2 + 0 - 2 - 7*s**2 + 4 to the form f*s**2 + k*s + l and give f. -11 Rearrange -30*a**2 - 2*a + a**3 - 29*a**2 + 9 + 61*a**2 + 2*a to the form x + o*a**3 + w*a + n*a**2 and give o. 1 Express ((0 - 1 - 1)*(0 - 1 + 4) - 6 - 3 + 0)*(-2*l + l + 2*l) in the form m + d*l and give d. -15 Express (-2 + 3 - 4)*(-3 + 0 + 1)*(-2*h + 5*h - 5*h)*(-4*h - 12*h - 3*h)*(17*h**2 + 5*h**2 - 7*h**2) as m + y*h + p*h**4 + r*h**2 + l*h**3 and give l. 0 Express -125*g**2 + 266*g**2 - 2 + 2 + 454*g**2 as h*g**2 + u*g + i and give h. 595 Rearrange 4531 + 133*t - 4530 + 88*t - 2*t**2 to the form v*t + j*t**2 + n and give j. -2 Express -7 - 1 - 48*m**3 + 10*m**3 + m + 36*m**3 - 65*m**2 in the form k*m + y + q*m**3 + u*m**2 and give u. -65 Express (111 - 111 - 61*d)*(-6*d**2 + d**3 + 6*d**2) as n*d**2 + y*d + c*d**3 + k*d**4 + z and give k. -61 Express 55*f + 69*f - 89*f**2 + 52*f - 177*f - 2 as m + x*f + z*f**2 and give m. -2 Rearrange 580*m - 162*m + 2 - 163*m - 209*m to the form o*m + z and give z. 2 Rearrange -4414*g + 2380*g - 491*g to u + j*g and give j. -2525 Express (100*k**2 + 20*k**2 + 139*k**2)*(-14*k + 6*k + 6 + 6*k + 2*k**2) as t*k + l*k**4 + h + a*k**3 + x*k**2 and give l. 518 Rearrange 2*x**2 + 2 + 2*x - 4 + 4*x**4 - 4*x**4 - 3*x**4 + 2*x**4 to l*x**4 + f + m*x + q*x**2 + v*x**3 and give l. -1 Rearrange -6*n**2 - 24*n**2 - 22 + n**3 - 43*n**2 + 24 to a*n**2 + k*n + g + c*n**3 and give c. 1 Express 430 - 216 + 440*h - 214 as t + k*h and give k. 440 Express -82*x + 72*x + 76*x + 43*x in the form p + j*x and give j. 109 Rearrange u**2 + u**2 - 2*u**3 - 10*u**2 + 4*u**3 to the form c*u + k + d*u**3 + h*u
{ "pile_set_name": "DM Mathematics" }
vjmjmmvjmmjmommmm? 11/3876 Two letters picked without replacement from {x: 7, g: 2}. What is prob of sequence xx? 7/12 Two letters picked without replacement from opruruoaqqaaaa. What is prob of sequence pu? 1/91 Calculate prob of sequence rc when two letters picked without replacement from mrcrn. 1/10 Calculate prob of sequence jt when two letters picked without replacement from {t: 6, j: 10, u: 1}. 15/68 Four letters picked without replacement from {n: 2, w: 3, u: 2, q: 4}. What is prob of sequence wuqn? 1/165 Calculate prob of sequence mpdj when four letters picked without replacement from jdpnm. 1/120 Two letters picked without replacement from {o: 2, g: 10}. Give prob of sequence gg. 15/22 Four letters picked without replacement from {x: 10, s: 2}. What is prob of sequence ssss? 0 Two letters picked without replacement from {g: 1, t: 2, v: 6, s: 3, x: 3}. What is prob of sequence sg? 1/70 What is prob of sequence ny when two letters picked without replacement from {n: 2, y: 2}? 1/3 Calculate prob of sequence ftf when three letters picked without replacement from {w: 9, t: 4, o: 4, f: 3}. 1/285 Two letters picked without replacement from jjjjjjj. What is prob of sequence jj? 1 Three letters picked without replacement from avpvvvavvpv. What is prob of sequence aap? 2/495 Three letters picked without replacement from {j: 3, z: 3}. Give prob of sequence zjz. 3/20 Calculate prob of sequence hhb when three letters picked without replacement from {b: 11, s: 1, h: 3}. 11/455 Three letters picked without replacement from {y: 5, p: 2, z: 2, f: 4}. Give prob of sequence zpz. 1/429 Three letters picked without replacement from ystcscesseesseece. Give prob of sequence csy. 3/680 What is prob of sequence jnnj when four letters picked without replacement from jjnnjenn? 3/70 Four letters picked without replacement from {l: 2, u: 3, j: 4, k: 7, z: 2}. What is prob of sequence jzuz? 1/3060 Calculate prob of sequence xkk when three letters picked without replacement from {k: 11, x: 3}. 55/364 What is prob of sequence rrr when three letters picked without replacement from bybbrkrbry? 1/120 Calculate prob of sequence mm when two letters picked without replacement from {m: 3, v: 3}. 1/5 Calculate prob of sequence xxex when four letters picked without replacement from eexeexexee. 1/120 Three letters picked without replacement from {t: 3, f: 3, b: 7, o: 1}. Give prob of sequence fft. 3/364 Three letters picked without replacement from xiiiixiiiiiixii. What is prob of sequence iii? 44/91 Calculate prob of sequence zip when three letters picked without replacement from {i: 1, e: 1, z: 2, f: 1, h: 2, p: 1}. 1/168 Two letters picked without replacement from {u: 1, g: 1, o: 3}. What is prob of sequence uo? 3/20 Two letters picked without replacement from {g: 3, u: 3}. What is prob of sequence gu? 3/10 Two letters picked without replacement from {b: 1, t: 1, g: 2}. Give prob of sequence bb. 0 What is prob of sequence uxi when three letters picked without replacement from uuqixdxqrquduqq? 4/1365 Three letters picked without replacement from {x: 3, o: 1, s: 5, j: 1, k: 2, q: 1}. What is prob of sequence qkx? 1/286 Four letters picked without replacement from {z: 1, e: 1, v: 2, h: 2, j: 1}. What is prob of sequence jzev? 1/420 Two letters picked without replacement from qwyytng. Give prob of sequence yg. 1/21 Calculate prob of sequence juu when three letters picked without replacement from jujuj. 1/10 Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjjj. 1 Four letters picked without replacement from {j: 7, b: 4}. Give prob of sequence bjjb. 7/110 Two letters picked without replacement from jfokjxjj. Give prob of sequence kj. 1/14 Three letters picked without replacement from fjueuufouuoo. What is prob of sequence uuo? 1/22 Calculate prob of sequence sddd when four letters picked without replacement from ssdddsdssa. 1/42 What is prob of sequence ppp when three letters picked without replacement from {p: 8, h: 3}? 56/165 Four letters picked without replacement from {r: 2, g: 2, a: 1, p: 1, f: 4}. What is prob of sequence frpf? 1/210 What is prob of sequence tst when three letters picked without replacement from {t: 3, s: 3}? 3/20 What is prob of sequence vk when two letters picked without replacement from kvvkv? 3/10 Two letters picked without replacement from {w: 1, d: 1, o: 2, r: 1}. What is prob of sequence ro? 1/10 Three letters picked without replacement from {w: 5, z: 1, u: 1, p: 8, x: 2}. What is prob of sequence zxp? 1/255 Four letters picked without replacement from {t: 3, a: 7, y: 3, f: 2, m: 4}. What is prob of sequence yyfm? 1/1938 Four letters picked without replacement from auauaa. Give prob of sequence auaa. 2/15 Four letters picked without replacement from {j: 11, p: 3}. What is prob of sequence jppp? 1/364 Calculate prob of sequence aaa when three letters picked without replacement from aaa. 1 Three letters picked without replacement from hhyhphphyhhh. Give prob of sequence ppy. 1/330 Three letters picked without replacement from gqggqggggggqggg. What is prob of sequence qgg? 66/455 Four letters picked without replacement from {c: 3, u: 4, g: 2, i: 1, p: 2}. What is prob of sequence gigp? 1/2970 Three letters picked without replacement from {q: 3, e: 1, s: 9, t: 2, b: 2}. What is prob of sequence ssb? 3/85 Two letters picked without replacement from {f: 4, p: 4, e: 2, c: 1, x: 2, l: 1}. What is prob of sequence pe? 4/91 Calculate prob of sequence nn when two letters picked without replacement from {n: 3, f: 7}. 1/15 Three letters picked without replacement from ssossosssoossoosooos. Give prob of sequence sos. 11/76 Calculate prob of sequence nnn when three letters picked without replacement from mnnmmmmmmn. 1/120 What is prob of sequence tns when three letters picked without replacement from vbvtvns? 1/210 Calculate prob of sequence qqrq when four letters picked without replacement from {r: 4, q: 7}. 7/66 What is prob of sequence qeqe when four letters picked without replacement from {e: 4, q: 10}? 45/1001 Three letters picked without replacement from dznnsnsdnndndddznnz. What is prob of sequence ddz? 5/323 What is prob of sequence pl when two letters picked without replacement from {l: 11, p: 3}? 33/182 Calculate prob of sequence no when two letters picked without replacement from nnjjjooj. 1/14 Three letters picked without replacement from kikki. What is prob of sequence kki? 1/5 Four letters picked without replacement from uutttuuwuttuuttuuw. What is prob of sequence wwut? 7/4080 Two letters picked without replacement from yyffyff. What is prob of sequence yf? 2/7 What is prob of sequence gzg when three letters picked without replacement from rrvzgrrg? 1/168 Four letters picked without replacement from {l: 7, t: 9, w: 3}. What is prob of sequence ttwt? 21/1292 What is prob of sequence oob when three letters picked without replacement from {o: 3, p: 1, b: 3}? 3/35 Two letters picked without replacement from {h: 2, r: 1, f: 1, n: 3, j: 1, l: 3}. What is prob of sequence lf? 3/110 Four letters picked without replacement from ppppvpppooovppppp. Give prob of sequence povv. 3/2380 Two letters picked without replacement from {m: 2, q: 1, g: 1}. What is prob of sequence mm? 1/6 What is prob of sequence pk when two letters picked without replacement from {p: 4, k: 16}? 16/95 Three letters picked without replacement from iurofiuoiiwiiiiior. What is prob of sequence ruu? 1/1224 Two letters picked without replacement from {t: 5, s: 1, h: 1, c: 7, b: 1, l: 2}. What is prob of sequence tl? 5/136 Calculate prob of sequence annp when four letters picked without replacement from {m: 4, a: 1, n: 4, p: 1}. 1/420 Two letters picked without replacement from {m: 4, e: 1, u: 2}. Give prob of sequence em. 2/21 Two letters picked without replacement from rwq. Give prob of sequence wr. 1/6 Calculate prob of sequence ka when two letters picked without replacement from {u: 10, k: 1, a: 1, p: 4, z: 2}. 1/306 Calculate prob of sequence qqaq when four letters picked without replacement from aqqq. 1/4 Calculate prob of sequence pkk when three letters picked without replacement from pvkkkkkkkkjkkjk. 11/273 Calculate prob of sequence iycc when f
{ "pile_set_name": "DM Mathematics" }
9 - -1)*r/8*2. Let z be 8/12*(-30)/(-4). What is the highest common factor of z and c? 5 Let o = -173 - -180. Calculate the highest common factor of 3 and o. 1 Let w = 174 - 165. What is the highest common divisor of w and 72? 9 Let y = -40 - -67. Let s(i) = i - 11. Let t be s(18). Suppose 5*u - 5*x = 30, 0 = 3*u - t*u - 2*x + 42. What is the greatest common factor of y and u? 9 Let h be 12/(1 - (8 + -9)). Calculate the highest common divisor of h and 30. 6 Let q = 227 - 215. Calculate the highest common factor of 324 and q. 12 Suppose -1 + 3 = m. Suppose 12 = f - 3*g - 66, 4*f = -m*g + 284. Let v = 289 - 271. What is the highest common divisor of f and v? 18 Suppose 122*o = 106*o + 9152. What is the greatest common divisor of o and 104? 52 Let f = 402 + -122. What is the greatest common factor of 35 and f? 35 Suppose -4*v + 116 = -3*n - 0*n, 0 = 2*v - n - 58. Suppose -33*t + 380 = -v*t. Calculate the greatest common factor of 38 and t. 19 Let t be ((-321)/4)/((-9)/24). Let o = -124 + t. Suppose 0 = 3*h - 0*h - o. What is the greatest common factor of 20 and h? 10 Let s = 572 - 344. Calculate the highest common factor of s and 72. 12 Let t be 5/(-10*2/(-32)). What is the greatest common factor of t and 256? 8 Suppose 4*l - 8*l - 24 = 0. Let y be (-1253)/l - (-10)/60. Calculate the greatest common divisor of 19 and y. 19 Suppose -2*b + 9 = -5*b. Let w be 7/(1/(-15)*b). Suppose 0 = -4*g + 2*g + 10. Calculate the highest common divisor of g and w. 5 Let o be 2*(1836/56 - 2/7). Calculate the highest common divisor of 195 and o. 65 Suppose -k - p = -37, 0 = -4*k - 4*p + 9*p + 166. Let g(v) = 2 + 2 + 3*v**2 + 0 + 7*v + 2. Let y be g(-4). What is the greatest common factor of y and k? 13 Suppose 0 = -a + 2*h + 28, -4*a + 3*h + 29 = -3*a. Let b = 332 - 215. Calculate the greatest common divisor of b and a. 13 Let i be (-4085)/(-105) - 6/(-63). What is the greatest common factor of 624 and i? 39 Let q(w) = -2*w**3 - 23*w**2 + 2*w + 18. Let i be q(-12). Suppose i = 159*r - 156*r. Calculate the greatest common factor of r and 69. 23 Suppose -k - 170 = -2*k. Let w(v) = 30*v - 1346. Let m be w(46). What is the greatest common factor of m and k? 34 Suppose -3*w + 240 = 3*s - w, -2*w = s - 80. What is the greatest common factor of 30 and s? 10 Let l be 2 - -14 - (-5 + 5). Suppose 4*s - l = -0*s. Suppose q - 80 = -s*q. Calculate the greatest common divisor of q and 16. 16 Let f(w) be the first derivative of 8*w**3 - w + 5. Let x = 5 - 3. Let z be f(x). Calculate the greatest common factor of z and 19. 19 Let f = -1830 + 2798. Suppose -4*k = -0*k - f. Suppose 86 + 24 = 5*n. Calculate the highest common factor of n and k. 22 Suppose -3*a + 31 = -26. Suppose 2*f - 61 = a. Calculate the highest common factor of f and 320. 40 Suppose 0 = -6*l + 2*l + 16. Suppose l*i = -61 + 193. Suppose 3*j + 12 - i = 0. Calculate the greatest common factor of 1 and j. 1 Let p(v) = 2*v**2 + 7*v - 10. Let j be p(-5). Let d = j - -19. What is the highest common divisor of d and 16? 8 Let c(v) = 84*v**2 + 1. Let s = 8 + -9. Let y be c(s). Suppose 2*w - q = 33, 5*w - 63 - 23 = -q. Calculate the highest common factor of y and w. 17 Suppose -f + 198 = 3*q, 319*q = 314*q + 4*f + 330. What is the highest common divisor of q and 242? 22 Let x be 424/10 + 0 + 184/(-460). Calculate the highest common factor of x and 420. 42 Let g(c) = -c**2 + 13*c + 32. Let d be -2*2/(4/(-15)). Let m be g(d). Let f = -45 - -67. What is the highest common divisor of f and m? 2 Let w be ((-706)/4 + 1)/((-177)/236). Calculate the highest common factor of 26 and w. 26 Let g be (-675)/54*(-20)/(0 - -1). What is the greatest common divisor of g and 130? 10 Suppose -5*p = -144 - 201. Suppose 4*s = 4*f - 132, 2*f + f = -3*s + p. What is the highest common factor of f and 4? 4 Suppose -19 = c + 21. Let s be (c/50)/((-1)/5). What is the greatest common factor of s and 44? 4 Let b be 1 + -1 - 7 - -2. Let c = -1 - b. Let f be (-13)/(-2) - 2/c. What is the greatest common divisor of 54 and f? 6 Let m(s) = -s**3 - 10*s**2 + 10*s + 16. Let u be m(-11). Let g = 35 - u. What is the greatest common divisor of g and 56? 8 Suppose -280 = -6*q + 16*q. Let j(c) = -c**3 + 4*c**2 - c + 1. Let s be j(5). Let i = q - s. Calculate the greatest common factor of 1 and i. 1 Let r(g) = -3*g - 5. Let j be r(-4). Suppose -j*o = -4*o - 3. Let q be o/(-3) - 330/(-18). What is the highest common factor of 6 and q? 6 Suppose -24 - 12 = -3*v. Calculate the highest common divisor of v and 516. 12 Let h be 28/(-3)*(0 - 3). Let k be (-2 - (-9)/3)/((-9)/(-2268)). What is the highest common factor of h and k? 28 Suppose -2*t = v - 41 - 46, 2*v = 4*t + 182. Let o = v + -57. Let m = -126 - -206. Calculate the highest common factor of m and o. 16 Suppose 4*t - 48 = -4*w + 136, -2*w = t - 90. Let p = -3 + 6. Suppose -1 = p*k - 13. What is the highest common factor of k and w? 4 Suppose -18*w + 1081 - 361 = 0. Calculate the greatest common factor of w and 200. 40 Let y be (472/295)/(2/270). What is the highest common divisor of 16 and y? 8 Suppose 2*b - 2*j = 6, 0 = -b + 3*b + 4*j + 12. Suppose -5*u + 2*f = -280, -2*f = -b*f. What is the greatest common divisor of u and 7? 7 Suppose 0 = a + q - 82, 3*q - 251 = -4*a + 80. Calculate the greatest common factor of 2 and a. 1 Let z(x) = x + 1. Let v = 8 - 15. Let a be z(v). Let c be (-386)/(-4) - a/4. What is the greatest common factor of 14 and c? 14 Let y be 123*(616/24)/7. What is the greatest common divisor of 82 and y? 41 Let m = 8 + 2. Let q be 30/50 + 114/m. Let l(z) = 2*z**3 - 2*z**2 - 4*z. Let p be l(3). Calculate the highest common divisor of q and p. 12 Let t(q) = -14*q - 102. Let o be t(-8). Suppose y - 5*c = 6*y - 10, -2*y - 3*c + 1 = 0. What is the highest common factor of y and o? 5 Let n be -8*(-4)/(-8) + 9. Suppose n*h + 3*k = -8, 0 = -5*h + 4*k - 0*k - 36. Let w be h/(-12) + 41/3. Calculate the greatest common factor of 56 and w. 14 Let j be (-14)/70 + 186/5. What is the highest common factor of j and 1073? 37 Let s be 16 - 14/2*(14 - 13). Let w(r) = r**2 - 4*r - 5. Let u be w(-4). Calculate the highest common divisor of u and s. 9 Suppose 3*h + 2*h - 2*g - 102 = 0, h - 5*g - 2 = 0. Suppose 2*y = -5*r + 82, 4*r + 3*y - h = 45. Calculate the greatest common factor of r and 176. 16 Let w(g) = -118*g**3 + 5*g**2 + 6*g - 1. Let v be w(-1). What is the greatest common factor of 87 and v? 29 Let w(l) = l**2 - 13*l + 9. Let a be w(16). What is the greatest common factor of 95 and a? 19 Suppose 5*z - 3*b + 68 = -823, -364 = 2*z - 5*b. Let g = z + 332. Let a be (8/(-12))/((-2)/93). Calculate the greatest common divisor of a and g. 31 Let j(y) = y**2 - 4*y - 3. Let b be j(5). Let n = -31 - -76. Let f be (-15)/n*(-18)/2. What is the greatest common divisor of b and f? 1 Let c be ((-4)/4 - 1)*-32*1. Suppose 5*w - 3*k - 92 = 0, -3*k = 2*w - 0*k - 20. What is the highest common factor of c and w? 16 Let v = 11 + 73. Let j be v*((-3)/(-2) - 1). Let l = 15 - 8. What is the highest common divisor of l and j? 7 Suppose 0 = -2*w + 5*q + 2 + 1, -q = -3*w + 11. Suppose i = w*i - 6, -i + 30 = 2*g. Let t be 28/(-3)*-3*1. What is the greatest common divisor of g and t? 14 Suppose -c + 4*u + 29 = -6*c, -3*c - 10 = -5*u. Let t = c - -10. Let l(x) = x**2 + 4*x + 14. Let k be l(-7). Calculate the greatest common factor of t and k. 5 Suppose 2*d + 0*f - 14 = 2*f, -5*d + 4*f + 33 = 0. Suppose 15 = d*m - 0*m. What is the highest common divisor of 27 and m? 3 Let r(l) = 15*l**2 + 18*l - 61. Let v be r(7). Calculate the highest common factor of v and 20. 20 Let a(x) = -x**3 + 12*x**2 - 10*x - 7. Let u be a(11). Let j = 19 - u. What is the greatest common divisor of j and 135? 15 Suppose -n - 98 = -2*v, -53 = -4*v + 5*n + 137. Let l = -16 + 17. Let y be l + 2/(-4)*-18. Calculate the greatest common divisor of y and v. 10 Let j(b) = -b**2 + b + 10. Let k be j(7). Let t = k - -34. Suppose 2*g - 7 = -7*q + t*q, -3*q - 5*g = 11. Calculate the greatest common divisor of q and 12. 3 Let n be (-6)/(-2) + 376/(-8). Let d = n - -58. What is the highest common divisor of d and 224? 14 Suppose -6*x + o - 1021 = -9*x, 3*x = 2*o + 1036. Calculate the greatest common divisor of 18 and x. 18 Let s = 291 - 284. Calculate the greatest co
{ "pile_set_name": "DM Mathematics" }
vided by 126? 39 What is the remainder when 2081352 is divided by 520233? 420 Calculate the remainder when 36707855 is divided by 25. 5 What is the remainder when 916804 is divided by 3513? 3424 What is the remainder when 2028898 is divided by 14? 4 Calculate the remainder when 2282260 is divided by 58517. 97 What is the remainder when 1057133 is divided by 3898? 775 What is the remainder when 307771810 is divided by 129? 127 What is the remainder when 181820390 is divided by 1245345? 20 Calculate the remainder when 120554 is divided by 3237. 785 What is the remainder when 11299967 is divided by 11299954? 13 Calculate the remainder when 10381 is divided by 3450. 31 What is the remainder when 1348589 is divided by 28? 25 What is the remainder when 278482 is divided by 221? 22 Calculate the remainder when 134079662 is divided by 17. 16 What is the remainder when 121578 is divided by 679? 37 What is the remainder when 17052276 is divided by 83? 9 What is the remainder when 6012996 is divided by 11? 0 Calculate the remainder when 25240 is divided by 115. 55 Calculate the remainder when 56204384 is divided by 5222. 5220 What is the remainder when 98095 is divided by 545? 540 What is the remainder when 520876 is divided by 884? 200 What is the remainder when 27575138 is divided by 77? 52 What is the remainder when 4174259 is divided by 525? 509 Calculate the remainder when 46749 is divided by 4836. 3225 What is the remainder when 24155417 is divided by 1012? 1001 What is the remainder when 1914875 is divided by 220? 215 What is the remainder when 741754675 is divided by 22? 13 What is the remainder when 2172386 is divided by 3274? 1724 Calculate the remainder when 59741 is divided by 4099. 2355 Calculate the remainder when 20224399 is divided by 12. 7 What is the remainder when 35360 is divided by 4641? 2873 What is the remainder when 37405135 is divided by 429944? 7 Calculate the remainder when 62658 is divided by 4279. 2752 Calculate the remainder when 1009420234 is divided by 14652. 14650 Calculate the remainder when 4663257 is divided by 5025. 57 What is the remainder when 1290277 is divided by 477? 469 Calculate the remainder when 5027534 is divided by 8. 6 Calculate the remainder when 13259 is divided by 2648. 19 What is the remainder when 505382 is divided by 126329? 66 What is the remainder when 3943028 is divided by 1626? 1604 What is the remainder when 37222078 is divided by 30? 28 Calculate the remainder when 1689702870 is divided by 22. 20 Calculate the remainder when 60183 is divided by 5006. 111 Calculate the remainder when 6344 is divided by 2920. 504 What is the remainder when 979561 is divided by 6320? 6281 Calculate the remainder when 40412 is divided by 38328. 2084 What is the remainder when 41813596 is divided by 3963? 3946 What is the remainder when 657391 is divided by 328318? 755 Calculate the remainder when 2887454 is divided by 360928. 30 What is the remainder when 227701 is divided by 7345? 6 What is the remainder when 37821 is divided by 6232? 429 Calculate the remainder when 15689221 is divided by 265919. 0 What is the remainder when 3090487 is divided by 13? 10 What is the remainder when 248953 is divided by 1875? 1453 Calculate the remainder when 12881214 is divided by 56. 38 What is the remainder when 516686 is divided by 9936? 14 What is the remainder when 276540 is divided by 2738? 2 What is the remainder when 1114022 is divided by 189? 56 Calculate the remainder when 123678 is divided by 123622. 56 Calculate the remainder when 14706 is divided by 712. 466 Calculate the remainder when 7715419 is divided by 1928844. 43 Calculate the remainder when 1846102 is divided by 102558. 58 What is the remainder when 671733 is divided by 80? 53 What is the remainder when 25531401 is divided by 4547? 4543 Calculate the remainder when 1654870 is divided by 130. 100 Calculate the remainder when 708185 is divided by 3656. 2577 What is the remainder when 1112504244 is divided by 23? 17 Calculate the remainder when 127089016 is divided by 290. 286 What is the remainder when 12336106 is divided by 28424? 90 Calculate the remainder when 37258596 is divided by 3865. 3861 Calculate the remainder when 97746777 is divided by 283. 275 Calculate the remainder when 1348010 is divided by 19. 17 What is the remainder when 75644524 is divided by 509? 507 Calculate the remainder when 21449 is divided by 6797. 1058 Calculate the remainder when 17622316 is divided by 30. 16 Calculate the remainder when 436201 is divided by 109012. 153 What is the remainder when 42750429 is divided by 14250139? 12 What is the remainder when 1080833 is divided by 46991? 40 What is the remainder when 2232689 is divided by 6891? 5 Calculate the remainder when 343282174 is divided by 1422. 1420 Calculate the remainder when 2268869 is divided by 24. 5 What is the remainder when 47028546 is divided by 294? 12 Calculate the remainder when 39607 is divided by 1783. 381 What is the remainder when 567870 is divided by 283888? 94 Calculate the remainder when 193052 is divided by 192018. 1034 Calculate the remainder when 90212 is divided by 89673. 539 What is the remainder when 35390 is divided by 35022? 368 What is the remainder when 127931 is divided by 58158? 11615 What is the remainder when 78193303 is divided by 543009? 7 What is the remainder when 693530 is divided by 243? 8 What is the remainder when 2527610 is divided by 18? 14 Calculate the remainder when 16218426 is divided by 43481. 13 What is the remainder when 8686 is divided by 8177? 509 What is the remainder when 23049 is divided by 20399? 2650 What is the remainder when 1062621 is divided by 1062338? 283 Calculate the remainder when 243865962 is divided by 1367. 1364 What is the remainder when 97843 is divided by 2125? 93 Calculate the remainder when 8747 is divided by 2364. 1655 What is the remainder when 61276 is divided by 60780? 496 What is the remainder when 32431132 is divided by 196? 188 What is the remainder when 90807 is divided by 30064? 615 What is the remainder when 14887614 is divided by 7561? 5 Calculate the remainder when 33898 is divided by 654. 544 Calculate the remainder when 12592369 is divided by 224. 209 What is the remainder when 913601 is divided by 48055? 556 What is the remainder when 15537569 is divided by 5179188? 5 What is the remainder when 41590258 is divided by 471? 16 Calculate the remainder when 595991 is divided by 416. 279 What is the remainder when 776922 is divided by 2201? 2170 What is the remainder when 576184 is divided by 1286? 56 What is the remainder when 571283 is divided by 18427? 46 Calculate the remainder when 28998 is divided by 805. 18 Calculate the remainder when 12702 is divided by 12656. 46 Calculate the remainder when 68323600 is divided by 296. 288 What is the remainder when 617856051 is divided by 2248? 2243 What is the remainder when 610638 is divided by 1155? 798 What is the remainder when 38135 is divided by 2146? 1653 Calculate the remainder when 3561952 is divided by 197886. 4 What is the remainder when 796982 is divided by 15627? 5 Calculate the remainder when 2893808 is divided by 723449. 12 What is the remainder when 6607304 is divided by 296? 288 What is the remainder when 64850 is divided by 32079? 692 Calculate the remainder when 20604006 is divided by 624. 150 What is the remainder when 516006 is divided by 309? 285 Calculate the remainder when 3083286 is divided by 1203. 1200 What is the remainder when 12771236 is divided by 204? 20 What is the remainder when 31136094 is divided by 163? 160 What is the remainder when 43357 is divided by 6134? 419 Calculate the remainder when 47121 is divided by 15675. 96 What is the remainder when 3039933 is divided by 304? 237 What is the remainder when 28000646 is divided by 2545511? 25 What is the remainder when 31208597 is divided by 2680? 2677 What is the remainder when 1594358 is divided by 531326? 380 What is the remainder when 3508170 is divided by 289? 288 Calculate the remainder when 5446549313 is divided by 14053. 14050 Calculate the remainder when 4054704 is divided by 2555. 2474 What is the remainder when 138377 is divided by 17284? 105 Calculate the remainder when 13750754 is divided by 6875374
{ "pile_set_name": "DM Mathematics" }
3))*y. Suppose -5*m + 55 - 15 = a. Is m a multiple of 3? False Let r(q) = 88*q**3 - 5*q**2 + 15*q - 9. Is 15 a factor of r(2)? True Let a = 1070 - 934. Is 17 a factor of a? True Suppose -2*v + 43 = g, -v + 70 = 2*v - 4*g. Suppose -4*n = -v + 2, -z = n - 48. Suppose -2*b + 5 = -z. Is 8 a factor of b? True Suppose 3*c - 5*h - 51 = -0*h, -3*c + 2*h = -42. Suppose -c*i + 11*i = 0. Suppose 2*a + 3*a - 5 = i, -2*a - 90 = -y. Is 23 a factor of y? True Let j(r) = 6*r**2 + r - 2. Let d be j(3). Suppose -31 - d = -2*s. Suppose s - 181 = -3*p. Is 23 a factor of p? True Let m(t) = t**3 - 5*t**2 + 4*t - 4. Let n(j) = j**2 + 5*j + 5. Let q be n(-5). Does 16 divide m(q)? True Is 220 + ((-16)/3 - (-5)/15) a multiple of 28? False Suppose -5*m = -687 - 128. Suppose -m = -4*p - 3*k - 22, 5*k = -25. Is 17 a factor of p? False Let f be (-156)/(-10)*(-20)/(-3). Suppose 6*a - 4*a = 2*i + 52, -f = -4*a - i. Does 13 divide a? True Suppose -2*r + 1042 = 4*h, -33*h + 38*h = 10. Is 11 a factor of r? True Let v(u) = u**3 + 12*u**2 - 6. Let m be v(-12). Let a(b) = -3*b**2 - b**3 - 8 + 7*b - b**2 + 4. Is 4 a factor of a(m)? False Suppose -4*b - 4 = 12. Let q be (b/(-3))/(2/3). Suppose -5*c = q*r - 286, -3*r - 277 = -5*c - 2*r. Is 23 a factor of c? False Let u(o) be the second derivative of -o**5/20 + 7*o**4/12 + 5*o**3/6 + 3*o**2 - 2*o. Does 16 divide u(7)? False Suppose g - 2*j - 1874 = -g, 4675 = 5*g + 5*j. Is 13 a factor of g? True Suppose a - 2*l = 392, -4*a + 6*l = l - 1583. Is 69 a factor of a? False Suppose 0 = b + 3*d - 9, 0 = -0*b + 5*b + 3*d - 21. Suppose 4*j = b*q - 32, 0*j + j = -5*q + 84. Does 8 divide q? True Let c be (-24)/(-36) + -2*14/6. Let l = -13 + 7. Is 6 a factor of l/(-24) + (-47)/c? True Let b(n) = n**3 + 10*n**2 + 3*n + 2. Suppose z - 4*x = 7, -4*x + 7 = -3*z - 4. Does 11 divide b(z)? False Let z be 20/(-8) + 114/(-12). Let w(g) = g**3 + 11*g**2 - 14*g + 5. Is 29 a factor of w(z)? True Is (30/(-10))/(2/(-16)) - 0 even? True Let d be ((1 - 4)/6)/(3/(-6)). Does 6 divide 4 + 3 - d/1? True Let d(j) = 40*j - 129. Is d(40) a multiple of 25? False Suppose 4*k - 26 = -2*q, -2*k + 16 = -2*q - 0*q. Is 2 a factor of k? False Let x(l) = 2*l**2 + 2*l + 1. Let u be x(-2). Let m = 421 - 225. Suppose -u*n + m = -n. Is 22 a factor of n? False Let h(j) = 0*j - 5*j**2 + 9*j**3 + 1 - 22*j**3 + 14*j**3 - 3*j. Let g be 66/10 + (-3)/5. Does 19 divide h(g)? True Suppose 4*b + 32 - 164 = 0. Let h be (-128)/(-3) + (-2)/(-6). Let o = h - b. Does 10 divide o? True Let m be (35 + -34)/(1/5). Let j(y) = -6 + 4*y**3 - 3*y**3 + 0*y**3 - 2*y - 4*y**2. Does 3 divide j(m)? True Let z = 154 - -146. Does 15 divide z? True Suppose -z = 4*t + 11, 0*z - 12 = -4*z - 2*t. Is 24 a factor of (43/z)/((-2)/(-10))? False Suppose -4*x = -13 + 1. Let r be (2/(-6))/(x/333). Let g = r + 68. Is 19 a factor of g? False Let n be (-31)/((-13)/21 - (-16)/56). Let i = n - 69. Is 7 a factor of i? False Suppose 0 = -4*f + 3*c + 23, -f - 4*f = -c - 26. Suppose -k - 3*k = 2*r - 294, 707 = f*r + 3*k. Does 23 divide r? False Let d(n) = n - 4. Let s be d(9). Suppose 62 = s*k - 2*b, 12 = 4*b - 4. Does 14 divide k? True Suppose 0 = -5*s + 5 + 70. Suppose 0 = -5*k - s, -3*d + 325 - 82 = -2*k. Suppose h = 2*h - d. Is h a multiple of 27? False Suppose -172*c = -194*c + 24618. Is c a multiple of 10? False Let n(r) = 3*r**2 - 22*r + 9. Let p be n(7). Suppose -2*f = p*o - 22 - 306, 3*o + 343 = 2*f. Is 24 a factor of f? False Suppose i + 5*l + 40 = 1023, 5*i - l - 4993 = 0. Does 16 divide i? False Let y(b) = -b + 9. Does 3 divide y(-12)? True Is 2601/6*((-20)/(-6) + -2) a multiple of 17? True Suppose 5*g = 5, 2*a - 1035 = 4*g - 3*g. Is a a multiple of 37? True Let l be 4/(-8) - (-9)/2. Suppose -2*j = j + 2*p + 31, 49 = -l*j + 5*p. Let n = 4 - j. Is n a multiple of 15? True Let m be (-1)/(-4) + (-441)/(-12). Suppose r - 2 = -4*f, -8*r + 4*f - 72 = -4*r. Let s = r + m. Is 6 a factor of s? False Let s(m) = -m**3 + 6*m - m + 5*m - 4*m + 3*m**2 - 1. Let i be s(4). Suppose i = z + 3*j, -4*j = -5*z - 0*j + 92. Does 4 divide z? True Let f be (9/(-6))/((-3)/6). Suppose 36 = f*p - 36. Does 4 divide p? True Suppose -4*r = -2*r - 2. Suppose 2*q + r = 3. Suppose t - 80 = q. Is t a multiple of 27? True Suppose 0 = -4*g + 96 + 36. Suppose 0 = -5*j - 2*c - 130, 7*j - 5*j = -4*c - 52. Let n = g + j. Does 7 divide n? True Let v(y) = y**3 + 32*y**2 - 17*y + 20. Does 51 divide v(-32)? False Let z(j) be the third derivative of -j**5/20 - 5*j**4/6 + 16*j**3/3 - j**2. Let c(f) = -f**2 - 7*f + 11. Let x(r) = 8*c(r) - 3*z(r). Is x(-6) even? True Suppose -4*q + 42 = -2*g, -q + 1 + 4 = 5*g. Let d be ((-243)/(-15))/(2/q). Suppose -3*t - d + 252 = 0. Does 19 divide t? True Suppose -26*i + 2252 = -660. Is 14 a factor of i? True Let z = 3793 - 2192. Is z a multiple of 17? False Let d(u) = -u**2 - 9*u - 11. Is d(-4) a multiple of 3? True Suppose 11 - 5 = -n. Let j be (n/8)/((-4)/16). Suppose -2*m + 10 = 0, -a - j*m = -4*a + 75. Is 30 a factor of a? True Let i(m) = -4*m + 5. Let x be i(6). Suppose 360 = -19*q + 9*q. Let v = x - q. Is 11 a factor of v? False Let s = -27 - -45. Is s a multiple of 5? False Let z(g) = 17*g**2 + 3*g + 10. Is 6 a factor of z(4)? True Suppose 3*d = -721 + 1855. Does 10 divide d? False Let q be 3 + ((-412)/(-26) - (-12)/78). Let w = q - 1. Is 13 a factor of w? False Let z = 8 - 2. Let f be (0/(-1 + z))/(-2). Does 19 divide (-164)/(f - 4) - 3? True Let m be (0 - 5)*-1*1. Suppose 2*k + 2*k = -4*y + 36, -4*k + m*y = 9. Suppose 5*v = 4*b + 50, k*v + 4 = -5*b + 3. Is v even? True Suppose 3*a - 593 = 7. Does 8 divide a? True Suppose 3*i - 16 = -1, 5*i + 1385 = 5*g. Does 4 divide g? False Suppose -74*y + 68*y = -16464. Is 15 a factor of y? False Suppose -3*y + 5 = 2*u, 5 = -4*u - 2*y + 19. Suppose 5*t + 297 + 134 = u*q, 0 = 4*q - 2*t - 446. Suppose 2*a + q = 4*a. Is 16 a factor of a? False Suppose 4*o - 1041 = 2*v - 3*v, 3*o = -v + 781. Is o a multiple of 20? True Let n(o) = -o**2 + 5*o - 2. Let h be n(4). Let x(k) = -k**2 - 4*k + 1. Let r be x(-3). Is 5 a factor of 11 - (-1 + h - r)? False Let o(i) = -3*i + 9. Suppose 0 = u - 6 + 1. Let y be o(u). Does 6 divide 30*(3 + 14/y)? False Let m(p) = 3*p**2 + p + 2. Let t be m(-3). Let v = 44 - t. Does 9 divide v? True Does 14 divide (-4 - 44/3)*324/(-16)? True Let g(n) = -23*n + 10. Let x be g(-6). Suppose 2*k + 50 = x. Is 5 a factor of k? False Let k = -4531 - -6508. Is k a multiple of 10? False Suppose -r + 3*h + 232 = 0, -4*h - 69 = -4*r + 883. Let c = -141 + r. Does 50 divide c? True Suppose -38 = 21*k + 256. Let s = 40 - k. Is s a multiple of 3? True Let b = 1255 + -1159. Is 8 a factor of b? True Let v(z) = z**2 + 37 - 41 + 123*z - 128*z. Let f(i) = i**3 + 4*i**2 + 2*i + 2. Let d be f(-2). Is v(d) a multiple of 2? True Let t(z) = 10*z + 13. Let n be t(-3). Let i = n + 5. Let y = 30 - i. Is y a multiple of 19? False Suppose 0 = -5*n - o + 28, -n = -2*n - o + 4. Let s = 29 - n. Does 3 divide s? False Suppose -w - 1165 = -2*p, -4*p + 5*w + 1663 = -664. Is 53 a factor of p? True Suppose -250*s + 247*s = -420. Is s a multiple of 10? True Suppose -4*v + 213 = -4*c - 119, -3*v - 318 = 4*c. Does 28 divide (-6786)/c + 2/9? True Suppose -7*y + 30 = -12*y. Let x = -4 - y. Suppose -34 = x*f - 4*f. Is f a multiple of 17? True Suppose 5*a = h - 31, 4*h - 4*a - 16 - 44 = 0. Let w = h + -5. Suppose -w*l + 180 = -2*l. Does 21 divide l? False Suppose -5*s + w = -1937 + 562, -1100 = -4*s + 5*w. Suppose -7*j + 1465 - s = 0. Is j a multiple of 29? False Let r(p) = p**3 - 13*p**2 + 15*p + 2. Let x(i) = -i**3 + 13*i**2 - 15*i - 3. Let w(s) = -2*r(s) - 3*x(s). Does 8 divide w(12)? False Let y(h) be the second derivative of 37*h**5/20 - h**4/12 + h**3/3 - h**2/2 + 2*h. Let m(c) = 3*c + 16. Let i be m(-5). Is y(i) a multiple of 30? False Suppose -5*r + 0 = -20. Suppose 0 = 7*h + r*h - 209. Is h a multiple of 5? False Let x(c) = 101*c**2 + 7. Is x(-2) a multiple of 32? False Suppose -3*j + 15 = 0, -20*q + 5*j = -25*q + 6100. Does 81 divide q? True Let c = 20 + -19. Let o be (c/(-2))/(2/(-76)). Suppose 0 = 5*m - 4*m - o. Does 8 divide m? False Suppose 783 = -3*q - 5*g + 2104, 5*q + g = 2209. Is 13 a factor of q? True Let j be (6/5)/((-9)/45). Let c = j - -10. Is 6 a factor of (-12 + 3)/(c/(-8))? True Let q b
{ "pile_set_name": "DM Mathematics" }
43905056? 5 What is the ten thousands digit of 180149080? 4 What is the millions digit of 101125953? 1 What is the ten thousands digit of 189583648? 8 What is the units digit of 148166062? 2 What is the hundred thousands digit of 1114420151? 4 What is the tens digit of 742858208? 0 What is the thousands digit of 208175094? 5 What is the hundreds digit of 240533352? 3 What is the hundred thousands digit of 35995207? 9 What is the ten thousands digit of 8964259746? 5 What is the tens digit of 2857352530? 3 What is the hundred millions digit of 219235356? 2 What is the ten millions digit of 38136198? 3 What is the tens digit of 174465524? 2 What is the hundred thousands digit of 2036345330? 3 What is the hundreds digit of 59951705? 7 What is the hundred thousands digit of 1531934883? 9 What is the tens digit of 135794336? 3 What is the ten thousands digit of 38983293? 8 What is the tens digit of 423425305? 0 What is the thousands digit of 4108675001? 5 What is the ten thousands digit of 827536017? 3 What is the ten thousands digit of 889216051? 1 What is the hundreds digit of 256097933? 9 What is the millions digit of 8894910? 8 What is the millions digit of 367692869? 7 What is the hundreds digit of 407787163? 1 What is the thousands digit of 261257158? 7 What is the ten millions digit of 4745896599? 4 What is the hundreds digit of 152325228? 2 What is the hundred thousands digit of 2287492474? 4 What is the hundred thousands digit of 112527814? 5 What is the thousands digit of 3472194252? 4 What is the hundred thousands digit of 1091878404? 8 What is the units digit of 1488850275? 5 What is the hundreds digit of 1915443222? 2 What is the hundred millions digit of 172054826? 1 What is the hundred thousands digit of 585873073? 8 What is the ten millions digit of 6706729568? 0 What is the millions digit of 2104792469? 4 What is the ten millions digit of 59138371? 5 What is the hundred millions digit of 315692176? 3 What is the millions digit of 6540496? 6 What is the ten thousands digit of 133132014? 3 What is the ten thousands digit of 2399784486? 8 What is the ten thousands digit of 7328321? 2 What is the hundreds digit of 19512987? 9 What is the hundred thousands digit of 89554151? 5 What is the tens digit of 58532346? 4 What is the tens digit of 101261038? 3 What is the hundreds digit of 833429288? 2 What is the millions digit of 17027078? 7 What is the millions digit of 21155595? 1 What is the ten millions digit of 237838324? 3 What is the hundred thousands digit of 606610064? 6 What is the ten thousands digit of 210988282? 8 What is the ten thousands digit of 2793783060? 8 What is the billions digit of 2189471901? 2 What is the hundred millions digit of 537914972? 5 What is the tens digit of 1587445589? 8 What is the thousands digit of 103050810? 0 What is the millions digit of 193487732? 3 What is the millions digit of 494851061? 4 What is the hundred thousands digit of 2421301056? 3 What is the tens digit of 95059499? 9 What is the hundreds digit of 234465053? 0 What is the ten thousands digit of 216856879? 5 What is the billions digit of 1689444538? 1 What is the hundreds digit of 2211137847? 8 What is the units digit of 678282113? 3 What is the millions digit of 219437833? 9 What is the hundred thousands digit of 7442858807? 8 What is the hundred thousands digit of 322560957? 5 What is the tens digit of 863180842? 4 What is the ten millions digit of 859779612? 5 What is the hundred thousands digit of 777022835? 0 What is the units digit of 297311153? 3 What is the ten millions digit of 39242107? 3 What is the ten thousands digit of 504759978? 5 What is the units digit of 637033699? 9 What is the units digit of 1300209223? 3 What is the ten millions digit of 568060837? 6 What is the hundred millions digit of 518052941? 5 What is the units digit of 35255271? 1 What is the hundred thousands digit of 150164934? 1 What is the hundreds digit of 57251224? 2 What is the hundred millions digit of 1171824920? 1 What is the ten thousands digit of 189048822? 4 What is the tens digit of 270040156? 5 What is the hundred millions digit of 149990902? 1 What is the millions digit of 1096962975? 6 What is the ten thousands digit of 75844372? 4 What is the ten thousands digit of 909016720? 1 What is the hundreds digit of 324304228? 2 What is the millions digit of 547788385? 7 What is the hundred thousands digit of 650125723? 1 What is the units digit of 84406546? 6 What is the ten thousands digit of 221882407? 8 What is the ten thousands digit of 56321223? 2 What is the hundred millions digit of 1209985611? 2 What is the ten thousands digit of 17045444? 4 What is the tens digit of 938784936? 3 What is the hundreds digit of 4259471762? 7 What is the hundreds digit of 808794069? 0 What is the units digit of 5731351408? 8 What is the hundreds digit of 34035352? 3 What is the millions digit of 3466665751? 6 What is the tens digit of 496095833? 3 What is the ten millions digit of 45543437? 4 What is the millions digit of 67785205? 7 What is the hundreds digit of 382602756? 7 What is the millions digit of 1552021727? 2 What is the thousands digit of 28314118? 4 What is the millions digit of 2359492620? 9 What is the hundred millions digit of 356897843? 3 What is the thousands digit of 79007885? 7 What is the tens digit of 3334723? 2 What is the tens digit of 76346071? 7 What is the hundred thousands digit of 506095134? 0 What is the ten millions digit of 3484000852? 8 What is the ten millions digit of 26914950? 2 What is the ten thousands digit of 301187056? 8 What is the hundred thousands digit of 168673620? 6 What is the tens digit of 1323293986? 8 What is the millions digit of 6077001? 6 What is the millions digit of 11205187? 1 What is the hundred thousands digit of 731040908? 0 What is the hundred thousands digit of 5833837798? 8 What is the hundreds digit of 593259053? 0 What is the tens digit of 5129995581? 8 What is the millions digit of 109921927? 9 What is the tens digit of 77614121? 2 What is the tens digit of 2866494848? 4 What is the ten thousands digit of 965888358? 8 What is the ten thousands digit of 24344255? 4 What is the millions digit of 195745420? 5 What is the thousands digit of 1122891217? 1 What is the hundred thousands digit of 1192532270? 5 What is the thousands digit of 21868734? 8 What is the tens digit of 5427725935? 3 What is the ten thousands digit of 53437793? 3 What is the hundred thousands digit of 951848747? 8 What is the hundred thousands digit of 306170673? 1 What is the ten millions digit of 3172425222? 7 What is the hundred thousands digit of 4857775956? 7 What is the hundred millions digit of 5745583168? 7 What is the ten millions digit of 168262490? 6 What is the tens digit of 1851490968? 6 What is the ten millions digit of 1758568719? 5 What is the tens digit of 65774866? 6 What is the ten millions digit of 1178343147? 7 What is the hundreds digit of 48080633? 6 What is the ten millions digit of 22731365? 2 What is the thousands digit of 1690021403? 1 What is the millions digit of 61144159? 1 What is the tens digit of 79696635? 3 What is the tens digit of 4918260422? 2 What is the millions digit of 200677816? 0 What is the thousands digit of 253392493? 2 What is the millions digit of 1187003761? 7 What is the hundreds digit of 450834791? 7 What is the hundreds digit of 1271507921? 9 What is the millions digit of 46935800? 6 What is the ten thousands digit of 76212704? 1 What is the tens digit of 638060300? 0 What is the units digit of 15896730? 0 What is the thousands digit of 4369422975? 2 What is the ten millions digit of 255616958? 5 What is the tens digit of 47080734? 3 What is the ten thousands digit of 6583392? 8 What is the units digit of 154026469? 9 What is the tens digit of 132263316? 1 What is the billions digit of 1456676870? 1 What is the millions digit of 1638149655? 8 What is the thousands digit of 87551523? 1 What is the millions digit of 46588397? 6 What is the units digit of 250980907? 7 What is the tens digit of 1057055186? 8 What is the hundred thousands digit of 5288436? 2 What is the ten millions digit of 4322846408? 2 What is the hundreds digit of 858904881? 8 What is the ten thousands digit
{ "pile_set_name": "DM Mathematics" }
16*v**3 - v**2 - 453995? 12*v**3 + 9648*v**2 - 2*v Find the third derivative of -884155*b**5 + 20745*b**2 - 28*b. -53049300*b**2 Find the second derivative of -78307*d**4 + 2*d**3 + 125*d - 107 wrt d. -939684*d**2 + 12*d Find the second derivative of 2069*q**3*r**3 + 3*q**3*r + q**3 - q**2*r**5 - 4*q**2 - 536*q wrt r. 12414*q**3*r - 20*q**2*r**3 Find the second derivative of 23*n**5 + 4940*n**4*q + 24*n*q - 3*n + 99*q - 2 wrt n. 460*n**3 + 59280*n**2*q What is the first derivative of -98*b*x**2 - 103*b - 330*x**2 + 373 wrt x? -196*b*x - 660*x Differentiate -67457*y**4 - 6*y + 2421996. -269828*y**3 - 6 What is the third derivative of 35*b**6*x**2 + 582*b**3*x**2 - b**2*x + b*x - 2*x**2 - 71*x wrt b? 4200*b**3*x**2 + 3492*x**2 Differentiate -1104*f**4*l + 103*f*l**3 + 118*l**3 - 197*l + 2 wrt f. -4416*f**3*l + 103*l**3 Find the second derivative of b**3*s**2 + 8*b**3 + 286*b**2*s**2 - b**2 + 316*b*s - 2*s**2 wrt s. 2*b**3 + 572*b**2 - 4 What is the second derivative of -20305*y**3 + 366336*y? -121830*y Find the second derivative of -31858*m**2 - 98572*m. -63716 What is the derivative of 305610*n**2*v + 136568*n**2 + 2*n wrt v? 305610*n**2 Find the third derivative of 90957*b*t**3 + 4*b*t**2 - 82*b*t + 10*t**2 wrt t. 545742*b What is the derivative of -q**3 - 94*q**2 - 59113 wrt q? -3*q**2 - 188*q What is the third derivative of 21987*i**3*j - 4*i**3 + i**2 - 1400988*j wrt i? 131922*j - 24 What is the first derivative of -3*s**2 + 1090*s + 129609? -6*s + 1090 Find the third derivative of -127821*u**4 - 8*u**2 + 268*u - 3. -3067704*u What is the second derivative of -588*n**4 - 2*n**2 - 333660*n wrt n? -7056*n**2 - 4 Find the third derivative of 196*a**3*o**4 - a**3*o**2 + 100593*a**3*o - 49*a*o**4 + o**3 wrt o. 4704*a**3*o - 1176*a*o + 6 What is the second derivative of -6439679*b**3 - 4591*b + 131 wrt b? -38638074*b What is the third derivative of -1560212*u**3 + 339*u**2 - 1680? -9361272 Find the third derivative of 2*y**5 - 5*y**4 + 2329*y**3 - 15922*y**2 wrt y. 120*y**2 - 120*y + 13974 Find the third derivative of 1080235*s**5 + 55*s**2 - 4061*s - 1. 64814100*s**2 What is the second derivative of 106*h**3 - 34*h**2 - 810*h - 5? 636*h - 68 What is the derivative of 2*c**4*h**3 - 13*c*h**3*q - 38*c*q - 22*h**3*q - 7*h**3 - 39*q - 1 wrt c? 8*c**3*h**3 - 13*h**3*q - 38*q Find the third derivative of 2082601*u**3 + 3558*u**2 - 180. 12495606 Differentiate -107*o**3*q - 2*o**3 - 2*o**2*q + 2*o**2 - 2935*o*q - 1425*o - 31 with respect to q. -107*o**3 - 2*o**2 - 2935*o Find the first derivative of 4*w**3 + 292718*w**2 + 2400490 wrt w. 12*w**2 + 585436*w Find the third derivative of 2*t**5 - t**4 - 4701*t**3 + 1373*t**2 - t + 3 wrt t. 120*t**2 - 24*t - 28206 What is the third derivative of 2260694*u**4 - 120*u**2 + 1579*u + 2? 54256656*u What is the derivative of 104211*i**4 - 93537? 416844*i**3 What is the third derivative of -162894*f**5 - 4*f**2 - 31478*f wrt f? -9773640*f**2 Find the second derivative of -27*r*u**3 + 2*r*u - 441*r + 275*u**4 - 13*u - 2 wrt u. -162*r*u + 3300*u**2 What is the derivative of 22*l**3 - 142*l**2 - l + 691220? 66*l**2 - 284*l - 1 Find the third derivative of 534*v*y**3*z + 16*v*y**3 + 3*v*y**2*z - 2*v*y*z - 54*v - y**3*z + 3*y**2 - 18*z wrt y. 3204*v*z + 96*v - 6*z What is the second derivative of 1020427*l**3 + l - 17697 wrt l? 6122562*l Find the second derivative of -649765*a**2 - 827666*a. -1299530 Find the second derivative of -67859*m**5 - 3435*m + 9 wrt m. -1357180*m**3 What is the third derivative of -23*f**2*g**3 - 13*f**2*g + 8*f**2 - 617*f*g**3 - 5*f*g**2 + 1 wrt g? -138*f**2 - 3702*f What is the second derivative of 296857*a**2*c + 3*a**2 + 3*a*c - 2*a - 216*c wrt a? 593714*c + 6 Find the second derivative of -b**3 + 5*b**2*j*l - 4*b**2*j*x - 18*b**2*j - 5*b*j*l*x - b*j*l - 2*b*j + 9*b*x - 2*l*x - 1 wrt b. -6*b + 10*j*l - 8*j*x - 36*j What is the second derivative of -b**2*m*r**2 + 2*b**2*m*r + 78*b**2*m + b*r**2 - 2804*m*r**2 - r**2 - 53*r wrt r? -2*b**2*m + 2*b - 5608*m - 2 What is the second derivative of 3701431*j**2*r + 1011*j*r - 41*j - 3*r wrt j? 7402862*r Differentiate -4389242*o + 3265650 with respect to o. -4389242 What is the second derivative of 52928*p**3*w**2 + 2*p**3*w - 109*p*w - p + 3*w**2 - 16 wrt p? 317568*p*w**2 + 12*p*w Find the second derivative of -39072*c**5 + 2*c**4 - c**3 + 718*c + 261 wrt c. -781440*c**3 + 24*c**2 - 6*c What is the second derivative of -18*u**5 + 2373*u**4 + u**2 + 7*u + 94549? -360*u**3 + 28476*u**2 + 2 Find the third derivative of -38095*s**4 + s**2 + 604*s - 6. -914280*s What is the derivative of 27303*r + 22115? 27303 Find the second derivative of -31173*x**3 - 33707*x. -187038*x What is the third derivative of 12*u**6 + 300*u**5 + 7*u**3 + 584*u**2 - 4*u wrt u? 1440*u**3 + 18000*u**2 + 42 Differentiate -3*c**3*l*x + 3*c**3*l*z**2 + 226*c**3*l - 334*c**2*x*z**2 + 16*l*z**2 - 2*z wrt x. -3*c**3*l - 334*c**2*z**2 What is the third derivative of 423366*s**3 - 99*s**2 - 113*s + 5 wrt s? 2540196 What is the second derivative of -85*g*j**2*k + 592*g*j*k - g*j + 5518*j**2*k - j*k - 21*j + 3*k - 1 wrt j? -170*g*k + 11036*k What is the first derivative of -q**2 - 1559*q - 23414? -2*q - 1559 Differentiate -3*c**2*u**3 - 114169*c**2*u**2 - 2238491*u**3 wrt c. -6*c*u**3 - 228338*c*u**2 Differentiate -b*m**2*v**2 + 25150*b*m**2 - 226708*b*v**2 - m*v**2 wrt m. -2*b*m*v**2 + 50300*b*m - v**2 What is the first derivative of -31679*r**2 + 65295 wrt r? -63358*r Find the second derivative of n**5 + 72*n**4 + 155*n**2 - 288415*n. 20*n**3 + 864*n**2 + 310 What is the second derivative of 352673*r**2 - 296499*r wrt r? 705346 Find the third derivative of -317*k**5 + 26*k**4 + 14*k**3 + 9*k**2 - 12376*k - 2. -19020*k**2 + 624*k + 84 What is the third derivative of -3*m**6 - 29797*m**5 + 5*m**3 + m**2 + m - 46759? -360*m**3 - 1787820*m**2 + 30 Find the second derivative of 34502*v**2*y**2 - 3*v**2*y + 470*v**2 wrt y. 69004*v**2 Find the first derivative of 7*s**4 - 10464*s**3 + 267309 wrt s. 28*s**3 - 31392*s**2 What is the derivative of -577*g*s**3 - 2*g*s**2 - 16*g + 7*s**3 + 77*s**2 + 10*s wrt g? -577*s**3 - 2*s**2 - 16 Find the third derivative of -185*v**5 + 5*v**4 + 7*v**3 + 243*v**2 - v + 18 wrt v. -11100*v**2 + 120*v + 42 What is the second derivative of 48878*j**2*y**2 + 121*j*y**2 + 6*j*y + 2*y wrt j? 97756*y**2 What is the third derivative of 122*y**4 + 2*y**3*z - 2*y**3 + 41279*y**2 + y*z wrt y? 2928*y + 12*z - 12 What is the second derivative of 4994*c**3 - 3*c**2 - 4103*c? 29964*c - 6 Find the third derivative of -3243*l**4*o + 10*l**3*o - 82*l**2*o + 4086*l*o wrt l. -77832*l*o + 60*o What is the second derivative of -1005*f**3*g*p + 7*f**3*p - 10*f**2*g + 46*f*g*p - 2*f*g - 2*g*p - 70*p wrt f? -6030*f*g*p + 42*f*p - 20*g Find the first derivative of 6*k*n**3*u + 507*k*n*u + k*n - 8*n**3 - 3642 wrt u. 6*k*n**3 + 507*k*n What is the second derivative of d*q**3 - 30*d*q**2 - 43204*d*q - 18*q**3 - 11*q**2 wrt q? 6*d*q - 60*d - 108*q - 22 What is the third derivative of 21293*u**2*z**3 + 2*u**2*z**2 - 80*u**2*z + u*z**2 - 74*u*z wrt z? 127758*u**2 Find the third derivative of 728*t**3*z**2 - 23*t**3*z + 11*t**3 - 247*t**2*z**2 - 105*z**2 + 7 wrt t. 4368*z**2 - 138*z + 66 Differentiate 3929*s**2*t - 2*s**2*u*z - 7*s**2*u - 12*s*z + 2*t*u - 182*t*z + 15*u*z - 9*u with respect to t. 3929*s**2 + 2*u - 182*z Find the second derivative of -672229*c*l**4 + 27*c*l - 1042*c + 2*l wrt l. -8066748*c*l**2 Find the second derivative of -15564*z**3 + 2*z**2 + 65519*z. -93384*z + 4 What is the second derivative of 54*m**3*y**3 - 2*m**3*y - 2*m**3 + m**2*y - 177*m**2 + 3*m*y**2 - 443*m*y - 3032*y**3 wrt y? 324*m**3*y + 6*m - 18192*y Find the first derivative of -2089674*t + 147295. -2089674 Differentiate -u**4 - 59*u**2 - 16003 wrt u. -4*u**3 - 118*u What is the third derivative of 172*r**3*x**2 - 38*r**3 + 16*r**2*x**2 - 58*r**2*x - 12*r*x**2 + 2*x**2 wrt r? 1032*x**2 - 228 Find the third derivative of 1406139*t**5 + 513*t**2 - 22*t + 125. 84368340*t**2 Differentiate 1906*g**3*q**2 - 2*g**3 - 4*g**2*q**2 - 2048*g wrt q. 3812*g**3*q - 8*g**2*q What is the first derivative of -216315*n**2 - 262412 wrt n? -432630*n What is the second derivative of -300387*u**4 - u**3 - 1032840*u wrt u? -360
{ "pile_set_name": "DM Mathematics" }
4368*y = 17659*y + 2012314 for y. -86 Solve -1023*n = -1096*n + 1554 + 1220 for n. 38 Solve -570 = 546*z + 16902 for z. -32 Solve -139*f + 397*f - 342 = 201*f for f. 6 Solve 15*j = -877260 + 877875 for j. 41 Solve 455*a + 858*a + 2113*a + 6*a + 37752 = 0 for a. -11 Solve -57*f = -125*f + 21*f - 71*f - 6726 for f. -57 Solve 1757*h + 113 - 24563 = 942*h for h. 30 Solve 106*h + 440*h = -1501 - 137 for h. -3 Solve -44*m = -92*m - 115*m + 3967 + 271 for m. 26 Solve 4159 - 1329 = 356*a - 1199 - 1311 for a. 15 Solve -2463*q - 20250 - 39789 = -3416*q for q. 63 Solve 87*g = -85*g + 39*g - 3990 for g. -30 Solve -366*b + 1411 = -407*b + 199*b - 485 for b. 12 Solve 26*u - 210*u + 7682 = -5934 for u. 74 Solve 35*l + 18*l + 104401 - 102705 = 0 for l. -32 Solve -500*y + 8381 + 20029 = 213*y - 3675 for y. 45 Solve -229468*i = -229526*i - 1160 for i. -20 Solve -165*a + 557*a - 20776 = 0 for a. 53 Solve -92*w - 70*w - 338 = -188*w for w. 13 Solve -10*a + 14*a = -125*a + 4515 for a. 35 Solve -4109*h - 1512 = -4172*h for h. 24 Solve -104*f - 90*f = -2*f - 8448 for f. 44 Solve -1312*w + 18998 = -83338 for w. 78 Solve -75*h - 146 - 481 - 1473 = 0 for h. -28 Solve -586 - 510 = -44*d - 152 + 684 for d. 37 Solve 251283 = -4422*r - 199761 for r. -102 Solve 0 = -917*p + 3450*p - 65858 for p. 26 Solve 606*f - 1209*f = -627*f + 1920 for f. 80 Solve 8444*b + 2248*b - 728912 = 159512 + 191468 for b. 101 Solve 10*x + 17*x + 6*x + 120 = 43*x for x. 12 Solve 30130 = -106*j + 29494 for j. -6 Solve -53*w + 427*w + 105*w = -753*w - 93632 for w. -76 Solve 158*v = -1179 - 3615 - 3464 + 1148 for v. -45 Solve 5*n - 11514 = -16*n - 11766 for n. -12 Solve 0 = 775068*h - 775095*h + 729 for h. 27 Solve -304*s + 1471 - 360 = -1136 - 5049 for s. 24 Solve -90*t = 96 + 4260 - 1711 + 4015 for t. -74 Solve -11*s + 293*s = 115*s - 346*s + 22059 for s. 43 Solve 1264*f - 79333 - 44642 = -7001*f for f. 15 Solve 3474 - 3368 = -53*s for s. -2 Solve 0 = -264*f + 1376789 - 1396061 for f. -73 Solve -41388*a + 42663*a = -63750 for a. -50 Solve -3644*z + 1385*z = -126504 for z. 56 Solve -8023 = -77*w - 11488 for w. -45 Solve -488*l + 137 + 18055 = -2762*l for l. -8 Solve 0 = 611273*k - 611182*k - 10283 for k. 113 Solve 51362 + 76 = 3958*r + 135005 + 153913 for r. -60 Solve -82*s + 230*s + 302*s + 3*s = -32163 for s. -71 Solve -361*i + 38370 = 21403 for i. 47 Solve -2225*o + 183*o = 160*o - 8808 for o. 4 Solve -2216*g + 82720 = -3110*g - 3242*g for g. -20 Solve -576*y + 712*y = 952 for y. 7 Solve 14*k + 27*k = -147*k + 306 + 822 for k. 6 Solve -9485*s = -2216*s - 792321 for s. 109 Solve -4104*y + 110867 + 54061 = -668*y for y. 48 Solve 1418*z + 3630*z - 60576 = 0 for z. 12 Solve -2287*f - 3557*f + 59539 = -372917 for f. 74 Solve 25679 = o + 25717 for o. -38 Solve 0 = -924539*v + 924349*v + 15580 for v. 82 Solve -19*l = 944138 - 944651 for l. 27 Solve -18340 + 1027 - 31913 = -1232*d + 9910 for d. 48 Solve 28*y + 313 + 847 = -y for y. -40 Solve 0 = 534*t - 3014 + 5535 + 4955 for t. -14 Solve 321*p = 13481 - 15445 + 24762 + 11549 for p. 107 Solve -659*w + 16985 = 16326 for w. 1 Solve 0 = -4065*x - 139117 - 60068 for x. -49 Solve 67657*k + 212 = 67715*k - 658 for k. 15 Solve -167*k + 5458 = -4228 for k. 58 Solve -1290*o + 61750 = -30953 + 21753 for o. 55 Solve -350568 = -6985*z - 8676*z + 58427 + 29513 for z. 28 Solve 2472*a - 88489 = -1524*a + 101672 + 25623 for a. 54 Solve 435*c + 21123 = -7587 for c. -66 Solve 0 = -3227*v - 37807 - 20279 for v. -18 Solve -4776 - 856 = -10*o + 33*o + 105*o for o. -44 Solve -241*l + 119*l - 3666 = 489*l for l. -6 Solve -158*q = 52*q - 24*q + 568*q + 8294 for q. -11 Solve -3320 + 1331 = -4*j + 225*j for j. -9 Solve 0 = 3370*n + 5166 + 31904 for n. -11 Solve 45*r + 40*r + 57 = 27*r + 39*r for r. -3 Solve -630270 - 239849 = 9148*h - 17987*h + 420375 for h. 146 Solve -168561 = 6792*u - 225*u - 324*u for u. -27 Solve -192970 - 230012 = -14698*n + 11341*n for n. 126 Solve -1577*p - 9998 + 34399 = -29217 for p. 34 Solve 53576 + 5029 + 993 = -982*x + 208*x for x. -77 Solve 14558 = 2733*f - 26021 + 17634 - 26249 for f. 18 Solve -640*n - 137500 = 937*n + 1173*n for n. -50 Solve 17272 + 55544 = -1776*l for l. -41 Solve -1826*y - 8196 = -13*y + 236*y for y. -4 Solve 0 = 637*p + 46080 + 2526 + 12546 for p. -96 Solve 508*g = -130*g + 5802 - 25644 - 14610 for g. -54 Solve -1174*t - 53320 = 66*t for t. -43 Solve -361*d + 2014 = 155*d + 10270 for d. -16 Solve 281*v + 136*v = -94*v + 6643 for v. 13 Solve -6356 = -463*u + 8691 - 3935 for u. 24 Solve -2314 = 2234*c - 33142 - 58532 for c. 40 Solve 254092 = -298*d + 245748 for d. -28 Solve 24*j + 661 - 243 = -302 - 192 for j. -38 Solve 1460*m + 21986 = 3836 - 830 for m. -13 Solve -1156*g + 1981 + 11361 = -285*g - 16272 for g. 34 Solve -2014*y = -244*y - 95580 for y. 54 Solve -15*d + 188*d = 41*d + 3036 for d. 23 Solve 107*p + 11629 = -872*p + 15881 - 60055 for p. -57 Solve 2653*u + 18465 = 19571 + 105014 for u. 40 Solve -32281 = -133*l - 16055 for l. 122 Solve -1028*d + 2725 - 4709 = 5564 + 1704 for d. -9 Solve 142*p - 244244 = -236008 for p. 58 Solve -125 - 137 = 19*r - 511 - 359 for r. 32 Solve -115*d + 114*d = 42 for d. -42 Solve 459*j = -1169*j - 402*j - 1578*j - 256168 for j. -71 Solve 12622 = -766*v - 15786 - 2998 for v. -41 Solve 22*s = -747*s + 12853 + 20214 for s. 43 Solve -5298*f - 80901 + 197964 + 15687 = -158640 for f. 55 Solve -2503*g - 37611 = -24946 + 54916 for g. -27 Solve 170*i = 69*i + 4096 - 10358 for i. -62 Solve 33*z + 41*z + 5187 = 31*z + 134*z for z. 57 Solve 16239*t + 2084545 = -1786*t - 7090*t for t. -83 Solve 44*g - 5465818 = -5462474 for g. 76 Solve -40*k - 32*k = -46*k + 64*k + 3960 for k. -44 Solve -54*c + 424 - 514 = 64*c - 28*c for c. -1 Solve 4154 = -333*j - 16492 for j. -62 Solve -842 + 1385 + 1448 = -46*i - 539 for i. -55 Solve 28452*r - 16807 = 28795*r for r. -49 Solve -95*l = 50*l + 105*l + 14250 for l. -57 Solve 98*r + 2526 - 752 = 1155 + 1109 for r. 5 Solve 0 = -74*z - 20019 + 18317 for z. -23 Solve -168*p = 25085 - 21893 for p. -19 Solve -4665*d + 1536 = -216 - 2913 for d. 1 Solve -7634 + 97283 + 27273 = -2998*a for a. -39 Solve -2206*n - 1287 = -2167*n for n. -33 Solve -274044*z = -273589*z - 14560 for z. 32 Solve 1014 = -149*m - 2585 - 3106 for m. -45 Solve -2092*g - 3733*g - 1747 + 5747 = -1825 for g. 1 Solve -200*o = -31*o + 69*o - 9520 for o. 40 Solve 460*q = 223*q + 280*q + 1505 for q. -35 Solve 27*b + 93*b - 17*b = -37*b + 5600 for b. 40 Solve -41*h - 51*h = 25*h + 55*h for h. 0 Solve -6712 + 4236 = 210*v + 9914 for v. -59 Solve 15*n + 482*n - 2942 - 2803 = -652*n for n. 5 Solve 808*f + 3182 = 722*f for f. -37 Solve 81*y + 13243 = -224*y - 392*y for y. -19 Solve -345*a = -343*a + 19 - 4 + 11 for a. -13 Solve -1182*u - 945 = 1187*u - 2342*u for u. -35 Solve 146*p - 494*p + 129*p = -150*p - 1863 for p. 27 Solve 5221*c = -1013*c + 436380 for c. 70 Solve -1283 + 3542 + 1395 = 87*t for t. 42 Solve 813*c - 1560*c - 2259*c = 225450 for c. -75 Solve -1414 + 182 + 263 = -19*g for g. 51 Solve -20*o = -105*o + 382 + 500 + 563 for o. 17 Solve -298*s - 3150 + 6977 + 5585 = -479*s for s. -52 Solve -3562*n + 1024*n = -32224 - 56606 for n. 35 Solve 14463*x - 1971389 + 46106 - 781830 = -15954*x for x. 89 Solve 45*q + 32 = 26*q - 156 - 97 for q. -15 Solve 1322*i - 123804 = -604*i + 297*i for i. 76 Solve -29*z = 44*z + 2*z + 115*z for z. 0 Solve 6480 = -1848*n - 86235 - 26962 - 5987 for n. -68 Solve -36*p - 98*p + 3036 + 6 = -1514 for p. 34 Solve -43*t - 2853 = -74*t - 75*t + 1811 for t. 44 Solve -6372*q + 28920 = -257820 for q. 45 Solve 40192 = 422*q + 34706 for q. 13 Solve 37*f + 157 - 1150 - 578 = 20 for f. 43 Solve -239*a - 184 + 192 = -2201 - 4483 for a. 28 Solve -7005*j + 378 = -7019*j for j. -27 Solve 124*i - 9*i - 12*i = -13*i + 4176 for i. 36 Solve 1768 = -330*f + 194*f for f. -13 Solve -1602*t + 35880 = -705*t for t. 40 Solve -22*h + 107*h = -735*h + 41851 - 1671 for h. 49 Solve 139*c - 16*c = -189*c + 2747 + 685 for c. 11 Solve 190184 = -113*g + 192218 for g. 18 Solve -5055*x + 4921*x + 1084 = -1596 for x. 20 Solve 0 = -9*q - 565545 + 565617 for q. 8 Solve -162*q + 80*q = 379*q + 6915 for q. -15 Solve 4786 = 213*h - 3559 - 4435 for h. 60 Solve 294*j + 122016 = 1227*j - 7111 + 19033 for j. 118 Solve 61*c
{ "pile_set_name": "DM Mathematics" }
rime factors of k(3)? 3, 5, 23 Suppose 3*v - 6*v + 126 = 0. Let w = v - 27. What are the prime factors of w? 3, 5 Let d be (-1)/2 - 39/6. Let j(l) = -3 + 7 + 0*l**2 - l**2 - 7*l. What are the prime factors of j(d)? 2 Let l(p) = -p**3 + 5*p**2 + 10*p - 5. What are the prime factors of l(6)? 19 Suppose -6*h = -2*h - 16. Suppose 4*r = -2*d + 86, 1 = -r - h*d + 5. Suppose i = -3*o + r, -2*o - 3*i = -4*o + 16. What are the prime factors of o? 2 Let c(u) be the third derivative of -4*u**2 + 3/2*u**3 + 0 + 2/15*u**5 + 1/3*u**4 + 0*u + 1/120*u**6. What are the prime factors of c(-7)? 2 Suppose -3*j - 70 = 2*j. Let a = 33 + j. List the prime factors of a. 19 Suppose 400 = -4*w + 5*w. List the prime factors of w. 2, 5 Suppose -2*w = 3*m + 2, -w - 8 = w. Suppose -2*z = 10, -d + 2*d + m*z + 11 = 0. List the prime factors of 1/d*7/(-1). 7 Suppose -6 = 3*u, -83 = -0*h - h - 2*u. List the prime factors of h. 3, 29 Let n be 10/(-2*(1 + -2)). Let r be (2/n)/((-3)/(-45)). What are the prime factors of r + -7 + 32/2? 3, 5 Suppose -516 = 4*n - 7*n. What are the prime factors of n? 2, 43 Let g be ((-3)/6)/(1/12). Let u be 42 - 2/g*0. Suppose 0 = 3*a, -5*r + 4*a + u = -8. List the prime factors of r. 2, 5 What are the prime factors of (357/(-28))/((-3)/8)? 2, 17 Let j be (-7)/1 - (-1 + 0). Let u be (3 - -1)/((-2)/j). Let i = u - 5. What are the prime factors of i? 7 Let r = -3 + -16. Let j = -7 - r. Suppose 2*u - 8 = -2*u - 2*h, -2*u + j = -3*h. List the prime factors of u. 3 Let p = -28 + 95. Suppose -3*k - p = -2*q - 4, q - 2*k = 34. What are the prime factors of q? 2, 3 Suppose -3*a + 4*s + 4 = -a, -4*a - s - 19 = 0. Let u(x) = x**2 + 2*x - 4. List the prime factors of u(a). 2 Let y = 1 - 4. Let d be (-372)/(-9) - 2/y. Let c = 61 - d. What are the prime factors of c? 19 Let o = -32 + 38. List the prime factors of o. 2, 3 Let o(g) = 138*g**3 + g**2 - g + 1. List the prime factors of o(1). 139 Let x(u) = -u**3 + 15*u**2 + 17*u + 5. List the prime factors of x(16). 3, 7 Let h(c) = -11*c - 2. Let w be h(-6). Let v(s) = s - 14. Let x be v(8). List the prime factors of ((-9)/x)/(6/w). 2 Suppose -2*m - m - 2*x + 424 = 0, -m = -4*x - 118. List the prime factors of m. 2, 3, 23 Suppose -4*k = h - 13, 2*k + 4*h = -0*k + 10. Suppose k*f - 3*c = 30, c - 12 = 4*c. What are the prime factors of f? 2, 3 Suppose -2*q = -12 + 2. Suppose 0 = 4*t + 2*c - 44, -q*c - 5 = -3*t + 28. List the prime factors of t. 11 Let o = -3 - -5. Suppose -14 = o*u - 4*u. Let w(a) = -a**2 + 7*a + 7. List the prime factors of w(u). 7 Suppose 0*u = -u + 25. Let n = -11 + u. List the prime factors of n. 2, 7 List the prime factors of ((-20)/5)/((-2)/12). 2, 3 Let c = -25 - -16. Let d(m) = -m - 4. What are the prime factors of d(c)? 5 Suppose -2*q - 1 = -5. Suppose 5*s - f + 34 = 3*f, 3*f = q*s + 15. List the prime factors of ((-3)/s)/((-1)/(-18)). 3 Let f = 201 + 132. List the prime factors of f. 3, 37 List the prime factors of (-508)/(-14) - (-4)/(-14). 2, 3 Suppose 4*d + 3*t - 72 = 0, t + 12 = -4*d + 92. Let a be 2/8 - d/(-12). What are the prime factors of (a - 4)/((-2)/20)? 2, 5 Suppose 0 = -2*u - 3*w + 360, 8*w = -3*u + 6*w + 540. List the prime factors of u. 2, 3, 5 Suppose -p - 4*z - 38 = -2*z, -4*p - 122 = 2*z. Let g = -12 - p. What are the prime factors of g? 2 Let j = 0 + -3. Let h(q) = q**3 + 4*q**2 + q - 2. Let k be h(j). Suppose -k = -2*u + 34. What are the prime factors of u? 19 Suppose 3*z = 5*g + 7, -z - 3*g = g + 26. Let c = 8 + z. What are the prime factors of c? 2 Suppose 0 = 5*n - 2*b - 6 + 45, 0 = 2*n + 5*b + 4. Let g(k) = k**3 + 9*k**2 + 7*k + 3. List the prime factors of g(n). 2, 13 Let h(a) = a + a**3 - 2*a + 7*a**2 + 5*a. Suppose -8*t = -3*t + 30. List the prime factors of h(t). 2, 3 Suppose -2*r - 65 = -2*u + 11, -r = -3*u + 112. What are the prime factors of u? 37 Let b = 31 - 4. List the prime factors of b. 3 Let y be (-2)/12 + 1011/18. List the prime factors of (-3)/(-2)*y/12. 7 Suppose -2*c + c + 2*t + 7 = 0, 3*c + 2*t = 13. Suppose 0 = k - 1, c*k + 27 = 4*n - 12. List the prime factors of n. 11 Let q(s) = s**3 + 5*s**2 + 3*s. Let g be (-5 + 6)*3/(-1). What are the prime factors of q(g)? 3 Let k = -38 - -61. Let w(m) = -5*m - 1. Let d be w(-3). Let r = k - d. What are the prime factors of r? 3 Let b(o) = o**3 + 6*o**2 - 8*o + 2. Let m be (-3)/((-1)/(-2) - 0). What are the prime factors of b(m)? 2, 5 Suppose 0 = 17*z - 214 - 653. List the prime factors of z. 3, 17 List the prime factors of (-127)/(-2) - 16/32. 3, 7 Let t = 27 - 21. What are the prime factors of t? 2, 3 Suppose -4*v = -4*q + 2*q + 22, 17 = -4*v + q. Let d be (-4 - v)/(1/(-10)). Suppose 2*k = k + d. What are the prime factors of k? 2, 5 Suppose -2*b - 2*b = 20. What are the prime factors of (-82)/b - (-10)/(-25)? 2 Let i = -28 + 43. List the prime factors of i/12 - (-3)/4. 2 Let y = 7 + -2. Suppose y*x - 4 = 56. List the prime factors of x. 2, 3 Let g(h) = -3*h**2 - 3*h. Let c be g(-3). List the prime factors of (-1)/((-2)/(c/(-1))). 3 Suppose 2*h = -5*y + 3*h + 28, 3*h + 9 = 0. List the prime factors of 2/(-4)*(-190)/y. 19 Let n(y) = 16*y - 6. Let t be n(6). Let v = t - 58. What are the prime factors of v? 2 What are the prime factors of 234/4*28/42? 3, 13 Let a = 286 - 142. Suppose 4*x = 5*m + 116, -2*m = 6*x - 2*x - a. What are the prime factors of x? 2, 17 Let a = -129 - -187. List the prime factors of a. 2, 29 Let h = 7 - 5. Let a(i) = -3*i - h*i**2 + i**2 + 3*i**2 + 2. What are the prime factors of a(2)? 2 Let h(y) = 3*y - 4. Let g(s) = s**2 + 8*s - 11. Let b(w) = 4*g(w) - 11*h(w). Let o be (-2)/(-9)*3*-3. What are the prime factors of b(o)? 2, 3 List the prime factors of 102 + (-2 - -9) + -5. 2, 13 Suppose -2*x - 52 = 5*u, 5*x - 45 = 6*u - u. Let d = -3 - u. List the prime factors of d. 7 Suppose 50 = 5*a - 5*y, 2*y + y = -3*a + 48. Suppose -4*z + 4*c + 60 = z, z - c = a. What are the prime factors of z? 2 Suppose -c - 3*b + 241 = 0, 2*c = -13*b + 11*b + 482. What are the prime factors of c? 241 Let h(b) = b**2 + 10*b - 9. Let k be h(-11). Let l(d) = 1 - 4*d**k + d**3 + 11*d**2 + 9 + d. What are the prime factors of l(-7)? 3 Let w(b) = 21 + 23 - 9 - b. What are the prime factors of w(16)? 19 Suppose -3*d = -2*s + 363, -4*d - 96 = s - 261. What are the prime factors of s? 3, 59 Let y(s) = -s**3 - 4*s**2 + s + 20. Let n(c) = 2*c**3 + 7*c**2 - 2*c - 41. Let u(w) = 6*n(w) + 13*y(w). List the prime factors of u(-10). 2 Let c(v) = -v + 58. Let t be c(0). Suppose t - 14 = 4*y. What are the prime factors of y? 11 Suppose -32 = -2*y - 4*q, 0 = y + 2*q - 6*q - 28. Suppose 4*s + s + y = m, 0 = -4*m - 3*s + 11. List the prime factors of ((-14)/(-35))/(1/m). 2 Suppose -2*t - 5*f + 37 = -68, 4*t - 4*f = 168. List the prime factors of t. 3, 5 Let z(t) = -t. Let o be z(-8). Suppose -4*d - 5*q = -209, -o*d + 240 = -3*d + 2*q. What are the prime factors of d? 2, 23 Let q(n) = -n**2 - 4*n. Let o be q(-4). Suppose 4*u - 69 + 1 = o. What are the prime factors of u? 17 Let b = -13 + 32. What are the prime factors of b? 19 Suppose 0 = 5*h + 5*r - 1190, h - r - 226 = r. List the prime factors of h. 2, 3, 13 Let p(k) = k**2 + 7*k - 2. Let v be p(-7). Let t = 1 - v. Suppose 3*l - 15 = 0, -t*m + 6*m + 3*l = 60. List the prime factors of m. 3, 5 Let t be -2 + 2 - (-21)/3. Let h(r) = 5 + 6 + 3 - r. What are the prime factors of h(t)? 7 Let t(x) = 3*x**3 - x**2 + 4*x - 7. What are the prime factors of t(3)? 7, 11 Let y(c) = 36*c**2 - 4*c + 1. What are the prime factors of y(1)? 3, 11 Let m(b) = -b + 2. Let i be m(-2). Let u = i - 6. What are the prime factors of (u + -2)*(-17)/4? 17 Let u(x) be the third derivative of 0 + x**2 + 1/3*x**4 + 0*x - 1/6*x**3. What are the prime factors of u(1)? 7 Let f(u) = -u**3 - 6*u**2 - 6*u - 3. Let t be f(-5). List the prime factors of 1/t*2*9. 3 Suppose 2*b = -2*a + 4, 0 = -b + a + 1 + 5. What are the prime factors of (-1)/(b/(-17*4))? 17 Suppose -u - 60 = -d - 2*u, 3*d - 3*u = 168. Suppose 0 = -4*o + n - 28, d = -5*o + 3*n + 16. List the prime factors of (16 - (3 + o)) + -2. 17 Let r(y) = 13*y. Let l(n) = -12*n - 1. Let h(a) = -6*l(a) - 5*r(a). What are the prime factors of h(3)? 3 Let p(s) = -s**3 + 9*s**2 - 7*s - 6. Let q be p(8). Suppose q*f + 216 = 5*f. Suppose 7*i = 3*i + 2*u + f, 4*i -
{ "pile_set_name": "DM Mathematics" }
ors of 4040390? 2, 5, 17, 23767 What are the prime factors of 922740? 2, 3, 5, 7, 13 What are the prime factors of 467171? 467171 What are the prime factors of 1292188? 2, 37, 8731 What are the prime factors of 247951? 11, 22541 What are the prime factors of 17931688? 2, 43, 52127 What are the prime factors of 6062843? 19, 319097 List the prime factors of 3804639. 3, 1268213 What are the prime factors of 10120798? 2, 131, 38629 List the prime factors of 2837728. 2, 71, 1249 List the prime factors of 456469. 13, 37, 73 What are the prime factors of 88112? 2, 5507 List the prime factors of 27435. 3, 5, 31, 59 What are the prime factors of 6033817? 6033817 List the prime factors of 1462011. 3, 311, 1567 List the prime factors of 590402. 2, 295201 List the prime factors of 110159. 7, 15737 List the prime factors of 7107024. 2, 3, 148063 What are the prime factors of 140303? 173, 811 What are the prime factors of 6036487? 6036487 What are the prime factors of 516443? 17, 1787 What are the prime factors of 11198467? 7, 19, 84199 List the prime factors of 605091. 3, 101, 1997 List the prime factors of 4491031. 4491031 What are the prime factors of 23796676? 2, 5949169 List the prime factors of 583562. 2, 7, 73, 571 List the prime factors of 812800. 2, 5, 127 What are the prime factors of 2193088? 2, 34267 What are the prime factors of 37371? 3, 12457 List the prime factors of 1062718. 2, 531359 What are the prime factors of 6274416? 2, 3, 67, 1951 List the prime factors of 4175441. 101, 41341 What are the prime factors of 447140? 2, 5, 79, 283 List the prime factors of 20816819. 20816819 List the prime factors of 721235. 5, 144247 List the prime factors of 798190. 2, 5, 19, 4201 List the prime factors of 27711022. 2, 739, 18749 List the prime factors of 1782502. 2, 891251 List the prime factors of 113983. 113983 List the prime factors of 1860021. 3, 17, 12157 What are the prime factors of 1968020? 2, 5, 19, 5179 List the prime factors of 499161. 3, 13, 12799 What are the prime factors of 418768? 2, 7, 3739 What are the prime factors of 10632213? 3, 59, 20023 List the prime factors of 1393337. 11, 17, 7451 What are the prime factors of 93649? 71, 1319 List the prime factors of 22705257. 3, 7568419 What are the prime factors of 220965? 3, 5, 14731 What are the prime factors of 1537189? 953, 1613 What are the prime factors of 16487309? 107, 154087 What are the prime factors of 1368448? 2, 10691 List the prime factors of 348874. 2, 17, 31, 331 List the prime factors of 1015416. 2, 3, 1567 List the prime factors of 92710. 2, 5, 73, 127 What are the prime factors of 1220285? 5, 11, 2017 What are the prime factors of 1532977? 19, 80683 What are the prime factors of 275466? 2, 3, 31, 1481 What are the prime factors of 174961? 23, 7607 What are the prime factors of 382865? 5, 7, 10939 What are the prime factors of 134980? 2, 5, 17, 397 What are the prime factors of 1035972? 2, 3, 7, 4111 What are the prime factors of 1321589? 1321589 List the prime factors of 285934. 2, 11, 41, 317 List the prime factors of 6866674. 2, 17, 201961 What are the prime factors of 688071? 3, 211, 1087 List the prime factors of 577687. 11, 52517 List the prime factors of 61118. 2, 30559 List the prime factors of 73966. 2, 31, 1193 List the prime factors of 2596096. 2, 10141 List the prime factors of 231064. 2, 17, 1699 What are the prime factors of 17479625? 5, 139837 List the prime factors of 563431. 11, 17, 23, 131 What are the prime factors of 66259? 173, 383 List the prime factors of 4022002. 2, 31, 64871 List the prime factors of 16651. 16651 List the prime factors of 5279714. 2, 11, 21817 List the prime factors of 2565959. 11, 89, 2621 What are the prime factors of 4787861? 13, 53, 6949 List the prime factors of 133446. 2, 3, 23, 967 What are the prime factors of 5101738? 2, 29, 87961 List the prime factors of 6268285. 5, 41, 30577 List the prime factors of 3183578. 2, 349, 4561 What are the prime factors of 3536760? 2, 3, 5, 29473 What are the prime factors of 236246? 2, 19, 6217 What are the prime factors of 264094? 2, 132047 What are the prime factors of 9197501? 19, 484079 List the prime factors of 215345. 5, 13, 3313 List the prime factors of 3389930. 2, 5, 338993 What are the prime factors of 2119943? 7, 43, 7043 List the prime factors of 232014. 2, 3, 38669 List the prime factors of 141268. 2, 35317 What are the prime factors of 1605457? 7, 229351 What are the prime factors of 599049? 3, 11, 2017 List the prime factors of 12022352. 2, 349, 2153 List the prime factors of 3451263. 3, 1150421 List the prime factors of 3624470. 2, 5, 43, 8429 What are the prime factors of 130187? 211, 617 List the prime factors of 225681. 3, 75227 What are the prime factors of 692789? 692789 What are the prime factors of 3292429? 7, 470347 List the prime factors of 729751. 11, 37, 163 List the prime factors of 142457. 7, 47, 433 What are the prime factors of 28069099? 19, 1477321 What are the prime factors of 4999010? 2, 5, 379, 1319 List the prime factors of 226063. 226063 List the prime factors of 3551992. 2, 443999 List the prime factors of 574857. 3, 47, 151 List the prime factors of 1878306. 2, 3, 367, 853 List the prime factors of 125337. 3, 41, 1019 What are the prime factors of 103966? 2, 227, 229 What are the prime factors of 105884? 2, 103, 257 What are the prime factors of 2297287? 439, 5233 List the prime factors of 2567502. 2, 3, 7, 41, 71 List the prime factors of 7402599. 3, 17, 48383 What are the prime factors of 2201954? 2, 1100977 What are the prime factors of 254230? 2, 5, 25423 What are the prime factors of 4303584? 2, 3, 17, 293 What are the prime factors of 960727? 47, 20441 What are the prime factors of 257769? 3, 9547 List the prime factors of 11813155. 5, 19, 124349 List the prime factors of 13887061. 13887061 What are the prime factors of 4266673? 4266673 List the prime factors of 135865. 5, 29, 937 List the prime factors of 754740. 2, 3, 5, 7, 599 List the prime factors of 1026320. 2, 5, 12829 List the prime factors of 4902942. 2, 3, 11, 74287 List the prime factors of 828248. 2, 19, 5449 What are the prime factors of 133815? 3, 5, 11, 811 What are the prime factors of 2278681? 2278681 List the prime factors of 398793. 3, 307, 433 List the prime factors of 72914. 2, 36457 List the prime factors of 1278249. 3, 7, 60869 What are the prime factors of 9222902? 2, 13, 354727 What are the prime factors of 9954865? 5, 1990973 What are the prime factors of 91960? 2, 5, 11, 19 What are the prime factors of 1768817? 61, 107, 271 What are the prime factors of 662601? 3, 41, 5387 List the prime factors of 3247054. 2, 239, 6793 What are the prime factors of 751517? 13, 57809 What are the prime factors of 4342459? 11, 59, 6691 What are the prime factors of 95664? 2, 3, 1993 List the prime factors of 654700. 2, 5, 6547 What are the prime factors of 6243856? 2, 19, 23, 47 List the prime factors of 13333565. 5, 7, 31, 12289 What are the prime factors of 262135? 5, 103, 509 List the prime factors of 39571556. 2, 47, 210487 List the prime factors of 845350. 2, 5, 11, 29, 53 What are the prime factors of 12816931? 12816931 List the prime factors of 2684056. 2, 335507 List the prime factors of 111896. 2, 71, 197 List the prime factors of 739311. 3, 281, 877 What are the prime factors of 291512? 2, 13, 2803 What are the prime factors of 1342956? 2, 3, 111913 List the prime factors of 6611933. 6611933 List the prime factors of 95068. 2, 23767 List the prime factors of 122833. 122833 List the prime factors of 2257003. 7, 322429 List the prime factors of 686008. 2, 85751 List the prime factors of 8957009. 8957009 List the prime factors of 174374. 2, 87187 List the prime factors of 98661. 3, 32887 List the prime factors of 313525. 5, 12541 What are the prime factors of 231493? 231493 List the prime factors of 7513332. 2, 3, 41, 15271 List the prime factors of 552843. 3, 19, 53, 61 What are the prime factors of 9934598? 2, 1117, 4447 List the prime factors of 830864. 2, 51929 List the prime factors of 462727. 462727 What are the prime factors of 143681? 23, 6247 What are the prime factors of 23305957? 43, 541999 List the prime factors of 356733. 3, 13, 3049 List the prime factors of 1
{ "pile_set_name": "DM Mathematics" }
k + 159. List the prime factors of (2/4)/(2/v). 13 Let u be (3 - 2)*0 + 2. Suppose u*b + 5*i = 23, b + 2*b - i = 43. List the prime factors of b. 2, 7 Let t(j) = j**3 - 6*j**2 + 8*j - 4. What are the prime factors of t(5)? 11 Let q(z) = -z**3 + 8*z**2 - 6*z - 5. Let l be q(7). Suppose -5*m - 7 = -2*r - 31, 3*r - l = -2*m. What are the prime factors of m? 2 Let s be 1392/20 + (-4)/(-10). Let i = -45 + s. List the prime factors of i. 5 Suppose 3*f - 21 - 15 = 0. Suppose 0 = 3*v - 3 - f. Suppose -2*g + 29 = -v*t, t = 2*t - 1. List the prime factors of g. 17 Suppose -5*o + 1280 = -5*p, 4*p + 603 = 5*o - 672. What are the prime factors of o? 251 Let g = 9 + -5. Suppose 3*k + 19 = 5*i + 79, 2*i + 81 = 5*k. Suppose -g*q - 5*f + k = q, -5*q - f + 11 = 0. What are the prime factors of q? 2 Let b(u) = u**3 - 3*u**2 - 5*u - 5. Let v be b(5). Let r = v + -32. Let i = -2 - r. What are the prime factors of i? 2, 5 Let p be 4/(-1)*(2 - 1). Let w(x) = -5 + 2*x + 2*x**2 + 2*x + 0*x. List the prime factors of w(p). 11 Suppose 0*c + 5 = 5*c. Let r be (-10)/(0 + -3 + c). Suppose r*k - 1 = -q, -3*q + 3*k + 14 + 7 = 0. What are the prime factors of q? 2, 3 Suppose 6 = u + 3. Suppose 6 = i + u*s, 2*s = -i + 5*i - 80. List the prime factors of 12/(-54) + 58/i. 3 Suppose 20 = -3*p + 62. Let a = 23 - p. List the prime factors of a. 3 Suppose -2*o + 5*p - 19 = -4*o, 5*o - 2*p = 120. List the prime factors of o. 2, 11 Suppose 5*m = m + 100. Suppose -m = -10*v + 5*v. Suppose -25 = -3*i + v. List the prime factors of i. 2, 5 Let d(y) = 9*y**2 - 2*y - 1. Let p be d(-1). Suppose -3*b = 4*v - p, b - v + 1 = 2. List the prime factors of (-1)/(-2)*52/b. 13 Suppose 2*t + t = 270. Suppose 3*y + t = -3*h, 0 = -5*h + y - 105 - 39. Let s = 44 + h. What are the prime factors of s? 3, 5 Let v(y) = y**2 - 6*y + 2. Let t be v(3). What are the prime factors of 2/(-4) + t/(-2)? 3 Suppose -2*g + 7*g - 416 = -3*p, 0 = 4*g + 20. What are the prime factors of p? 3, 7 Suppose x = -0 + 84. List the prime factors of x. 2, 3, 7 Let i = -3 + 3. Let x = 12 + i. What are the prime factors of x? 2, 3 Suppose -5*x + 2*x = -12. Suppose 18 = x*g - 2. List the prime factors of g. 5 Let w be (1 - 0)*(23 + -11). List the prime factors of 3/w + 249/12. 3, 7 Suppose 3*k + 5 = -7, 2*k = 2*c - 198. List the prime factors of c. 5, 19 Let r = 6 - 8. List the prime factors of (6/9)/(r/(-39)). 13 Suppose -2*w = -6*w + 132. What are the prime factors of w? 3, 11 Let a be (-34)/(-8) - 3/12. Suppose 5*d - 5*g = 30, -g = 3*d - 18 + 8. Suppose -d*s + 65 = -3*m, 3*s - 4*m + 21 = a*s. List the prime factors of s. 17 Let d = 29 - 12. Let f = d - 24. Let a = f + 22. What are the prime factors of a? 3, 5 Let k(p) = -p**3 + 21*p**2 - 18*p - 23. What are the prime factors of k(20)? 17 Let z(i) = 8*i**2 - 2*i - 2. List the prime factors of z(3). 2 Suppose -394 = -3*h - 5*r, -2*h + 3*h - 130 = -2*r. What are the prime factors of h? 2, 3, 23 Suppose -3*n - 13 - 11 = 0. Let h = n - -13. What are the prime factors of h? 5 Suppose 0*g + 2*g - 26 = 0. Let k = g - 1. What are the prime factors of k? 2, 3 Suppose 4*h - v = 316, h - 5*v - 395 = -4*h. What are the prime factors of h? 79 Let k = -28 - -15. Suppose -4*b - 6 = -2*b. Let g = b - k. What are the prime factors of g? 2, 5 Let u(n) = -8*n - 9. List the prime factors of u(-7). 47 Let s(j) = -j**3 + 7*j**2 - 5*j - 4. What are the prime factors of s(4)? 2, 3 What are the prime factors of 10/15*1197/6? 7, 19 Let d = 41 + 60. What are the prime factors of d? 101 Let p be -10 - (-4)/(-8)*2. Let h(z) = -2*z + 7. List the prime factors of h(p). 29 Let m be (-445)/(-4) + (-3)/(-4). Suppose m = 6*x - 2*x. List the prime factors of x. 2, 7 Let j be (-1)/(3/45*1). Let v be ((-4)/10)/(6/j). What are the prime factors of v*(1 - (3 - 5))? 3 Let n(z) = -2*z**3 + 3*z + 1. Suppose -2*o + 11 = 1. Suppose 4*u + s + 5 = -0*u, -o*s + 7 = 4*u. List the prime factors of n(u). 11 Let q(o) be the third derivative of o**5/60 + 13*o**4/24 - 5*o**3/3 + 2*o**2. List the prime factors of q(-14). 2 Suppose 7 + 2 = 3*k. Suppose k*b + 15 = 0, 4*g - b = 3*b + 128. Let q = -18 + g. What are the prime factors of q? 3 Let a = 12 - 12. Suppose 3*c + 2*c - 55 = a. What are the prime factors of c? 11 Let d(q) = 10 + 6*q + 3*q + q**2 - q. List the prime factors of d(-7). 3 Let o(y) = y**3 + 15*y**2 - y + 14. List the prime factors of o(-15). 29 Let b = -5 + -10. Let c be (7/14)/((-1)/4). Let k = c - b. List the prime factors of k. 13 Let c be (-7)/(-28) - 19/(-4). Suppose -c*s + 2*s + 111 = -3*u, s - 4*u = 46. What are the prime factors of s? 2, 17 Suppose 0 = -0*w + 4*w - 4. Let h(s) = -7*s - w + s - 1. What are the prime factors of h(-2)? 2, 5 Let t be 3/6*6 - 1. Suppose 3*n = -b - 7 + 27, t*n - 5 = b. List the prime factors of n. 5 Let i = -41 - -79. What are the prime factors of i? 2, 19 Let k(r) = -r + 2. Let a be k(-3). Suppose 5*y - 3*b = b + 107, a*b + 72 = 3*y. List the prime factors of y. 19 Suppose -2*o + 3*j - 4569 = 3*o, -5*o - 4563 = -j. Let d be o/(-42) - (-2)/7. Let n = d - 16. What are the prime factors of n? 2, 3 Let t(m) = 2*m - 4. List the prime factors of t(15). 2, 13 Let x(v) = -v**2 - 8*v. Let k be x(-8). Suppose 7*o - 2*o - 25 = k. Suppose 20 = o*s - 40. List the prime factors of s. 2, 3 Suppose -z = z - 66. List the prime factors of z. 3, 11 Suppose 4 = -2*y - 4. Let u be 78/8 - 1/y. Suppose -u + 0 = -2*o. List the prime factors of o. 5 Suppose -1 = 5*d + 39. Let f = 11 + d. Suppose 5*u - 12 = -g, f*u - 4*u = -1. List the prime factors of g. 7 Suppose -9 = 4*o - l - 4, 5*l + 15 = 0. Let w be (o/(-4))/(2/12). Suppose -2*c = -w*c + 9. What are the prime factors of c? 3 Suppose -580 = c - 5*c. Let k be 1/(-6) + c/(-30). Let a(m) = -3*m - 3. List the prime factors of a(k). 2, 3 Suppose 0 = 7*g - 2*g - 15. Let y be (14/g)/(2/3). Suppose 2*f + 2*d - y*d + 9 = 0, -f + 3*d - 6 = 0. What are the prime factors of f? 3 Let j(c) = 6*c - 10. Let u be j(10). Suppose -4*m = -h + 30, -5*h - 3*m = 2*m - u. List the prime factors of h. 2, 7 Let x(o) = o**2 + 16*o - 12. What are the prime factors of x(-26)? 2, 31 Let q(a) = -a**2 - 7*a - 6. Let i be q(-7). Let n = i + 9. Let f = 13 - n. List the prime factors of f. 2, 5 Suppose -r + 252 = 40. What are the prime factors of r? 2, 53 Let z(h) = -h**3 + 9*h**2 + 5*h - 2. List the prime factors of z(9). 43 Let t = -21 + 81. List the prime factors of t. 2, 3, 5 Let z(c) = -c**2 - 8*c - 7. Let n be z(-5). Let p be (-2)/n + 190/(-8). Let y = -14 - p. List the prime factors of y. 2, 5 Let n(r) = -6*r - 1. Let f be n(-2). Suppose -k = -s - 1, -s = -2*s + 3*k - f. Suppose -s*p + 15 = 3. What are the prime factors of p? 3 Suppose 2*g - 34 = 6. List the prime factors of 85/g - 1/4. 2 Suppose 4*z - 3*i - 126 = -z, 75 = 3*z - 2*i. What are the prime factors of 4/(-10) + z/5? 5 Let n(o) = -18*o + 8. List the prime factors of n(-7). 2, 67 Let g = 325 - 130. What are the prime factors of g? 3, 5, 13 List the prime factors of (988/95)/(1/20). 2, 13 List the prime factors of 1/6 + 15/18 - -185. 2, 3, 31 Let x(a) = -a**2 - 2*a + 5. Let n be x(-4). Let i = -11 + n. List the prime factors of (7 - 0)*(-12)/i. 2, 3 Suppose 8*g + 41 = 9*g. What are the prime factors of g? 41 Suppose 7*q = -382 + 970. List the prime factors of q. 2, 3, 7 Suppose 0 = 5*z - 4*x - 4, 0*x = 5*z + 3*x - 32. Suppose 0 = -19*r + 21*r - 12. Suppose 14 = -z*v + r*v. What are the prime factors of v? 7 Suppose 13*c - 3006 + 887 = 0. List the prime factors of c. 163 Let r = 4 + -2. Suppose 3*y = -r*y + 120. Suppose 2*x - 6 - y = 0. What are the prime factors of x? 3, 5 Let w be (-3)/(3 + (-5)/2). Let m = 8 + w. List the prime factors of m. 2 Let z(l) = -3. Let g(i) = i + 3. Let p(d) = 5*g(d) + 6*z(d). Let y be p(4). Suppose -4*t + 23 = -y. List the prime factors of t. 2, 5 Let g(j) = -2*j**2 - 4*j - 3. Let f be g(-2). Let p(l) = 3*l**2 + 3*l - 1. List the prime factors of p(f). 17 Let i = -111 + 389. What are the prime factors of i? 2, 139 Let b(h) = h**3 - 3*h**2 - h. Let z = -7 - -7. Suppose z = 5*t - 2*l - 14, 4*t = 2*l + 5 + 5. List the prime factors of b(t). 2, 3 Suppose 2*m + 2*p - p = 9, -5*m + 30 = p. List the prime factors of m + 0 + (0 - -2). 3 Let t be (1/2)/(2/4). Let f = t - -31. List the prime facto
{ "pile_set_name": "DM Mathematics" }
41 Is -0.2 > 3/1898365? False Which is bigger: -29 or 9/1471? 9/1471 Which is greater: 97437442 or -1? 97437442 Is 156229 bigger than 156227? True Which is greater: -9229882 or -9229896? -9229882 Is 87 not equal to 13179/151? True Does 1065775 = -2/13? False Which is smaller: 0 or 3/1154896? 0 Which is bigger: 23145608 or 23145613? 23145613 Is -7859996 greater than -7859999? True Which is smaller: 0.3158 or -19135? -19135 Is 64 less than -222435? False Which is smaller: -3/7235023 or -2? -2 Is 0.7243155 at most 5? True Is 0 greater than -88/299081? True Is 0.02 equal to -19782256? False Is -40592 at most as big as -40438? True Are -1/2651 and 113830 equal? False Is 28243/693 less than or equal to 40? False Which is smaller: -1341837 or -1341853? -1341853 Is -30753 at least -399771/13? False Is -3482989 at least -3482993? True Is 2 greater than 3124/2459? True Which is bigger: 847/143589 or 1? 1 Is -0.1 greater than or equal to -801904? True Does -0.0167 = 14/35909? False Which is smaller: 44084 or 45493? 44084 Which is greater: 40/2426577 or 1? 1 Which is bigger: 33/2067116 or 0? 33/2067116 Is 58871 less than 58906? True Is -2007519 > -2007518? False Do 0 and -229/8547 have the same value? False Which is smaller: -6/6410113 or -1? -1 Is -1.9 bigger than 2168767? False Which is smaller: 1087 or 1501? 1087 Is -17990268 smaller than 0.34? True Which is smaller: 53443212/37 or 1444412? 53443212/37 Which is bigger: 9.3 or -1190667? 9.3 Is -2796267 smaller than -2796222? True Is 2487 smaller than 5219? True Is 68699982 > 68699982? False Is 547653 greater than 547653? False Is -53 not equal to 43883? True Is 24389477 greater than or equal to 24389477? True Which is greater: 47 or -3673432? 47 Which is smaller: -1 or -15/47582257? -1 Is 0 at most 1298/1126919? True Which is bigger: -6 or -117058/24757? -117058/24757 Which is smaller: -92835/14116 or -6? -92835/14116 Which is greater: -2386 or -61408? -2386 Which is smaller: 44.2599362 or 0.2? 0.2 Is 57985013 <= 57985019? True Is 33687807 at least 33687807? True Which is bigger: 2/928023429 or 1? 1 Is -99662/273 greater than -1/3? False Is 1 at most as big as 9659273? True Is 1 not equal to 3052/787? True Which is smaller: -313/16208 or -7/5? -7/5 Are 0 and 1271/210774 equal? False Is 19018164/139 at most as big as 136822? True Is -4600 less than or equal to -1549814/337? True Is 14 smaller than -190904/25? False Which is greater: -2 or -6223/3152? -6223/3152 Is -1 less than -8/10453565? True Is 15 >= 10362/731? True Which is smaller: -4 or -9297/2176? -9297/2176 Which is bigger: -21 or 393285? 393285 Which is smaller: 0 or 13307/77743? 0 Is -133627 less than -6547796/49? False Is 23106 smaller than -13.1? False Are -124787780 and -124787782 non-equal? True Which is smaller: -1 or 38/282165? -1 Do -0.062767 and -194 have the same value? False Is 260 greater than 47398/183? True Which is smaller: 868095 or 868105? 868095 Are 87865.37 and -0.1 non-equal? True Which is smaller: -6611567/24 or -1? -6611567/24 Are -5700 and -442 equal? False Is -288524384/9 greater than or equal to -32058266? True Is -122419 at least as big as -122342? False Which is smaller: -43156 or -17022? -43156 Is 0 > -70/3035133? True Which is greater: 19499 or -0.0026? 19499 Do 4058 and 596336/147 have the same value? False Which is bigger: -20007919 or -20007918? -20007918 Is 21883384 greater than 21883382? True Is 81537 > -5565? True Are -68820969 and -137641935/2 nonequal? True Is -331938162 >= -331938162? True Is 13480317 >= -0.06? True Is -344288591 > -344288594? True Which is smaller: 2708073 or 2708087? 2708073 Is -1271437 bigger than -1271433? False Is 0.03502674 >= -6? True Is 50/1799973 >= 0? True Which is smaller: -1 or 4/161392343? -1 Is -24334492 greater than -24334493? True Which is smaller: -700503 or -700766? -700766 Is 3/3461315 at least 1? False Is -204428 at least as big as -204352? False Is -12 >= -1644012? True Is 368300 greater than or equal to 5892823/16? False Is 0 != -57/18798590? True Do -21112390 and -21112390 have the same value? True Are -1147560569 and -1147560570 non-equal? True Which is greater: -0.2 or -98788541? -0.2 Which is bigger: 446438/15 or 29763? 29763 Is -10733111 != -10733109? True Are 12 and -358999.1 non-equal? True Is 340161100 at least as big as 340161100? True Which is smaller: -204440 or -204449? -204449 Which is smaller: 3/94275530 or 0? 0 Which is greater: 98.5 or 0.56058? 98.5 Is -2772281 less than -1? True Which is smaller: -0.0763 or 62/2805? -0.0763 Which is smaller: -77142007 or -77142008? -77142008 Is 70977 less than 717.1? False Is 0 at most as big as -2/28583183? False Which is greater: -358137 or -358169? -358137 Is 2283107 > 1? True Which is smaller: -86532.6 or 0.1? -86532.6 Is 283 less than 1/25621? False Which is smaller: 2/1093 or 105400? 2/1093 Is -126.88 less than -3838? False Which is greater: -60/103 or 0.0564? 0.0564 Which is smaller: -1365448 or -1365455? -1365455 Which is smaller: 158501893/5 or 31700378? 31700378 Which is smaller: -1 or 445/1438? -1 Is 1433/41328 > 1? False Are -1185 and 5328 nonequal? True Which is smaller: 726970 or 726891? 726891 Is -195/9285226 at most 1? True Is -2 equal to 2677897/4? False Do 16174/1277 and 14 have different values? True Which is greater: 1883 or 1/1929? 1883 Which is greater: -2 or -115/576629? -115/576629 Which is bigger: -123750/12257 or -9? -9 Are -95336856 and -95336860 nonequal? True Which is greater: -10574 or -1446? -1446 Is -1549/5196 equal to 0? False Which is bigger: 24718706 or 67? 24718706 Which is greater: 5888991 or 5888917? 5888991 Which is bigger: 2.9 or -10235925? 2.9 Do 8387376 and 8387375 have different values? True Which is bigger: 3/4 or -911.24515? 3/4 Is 125/2 < 368? True Is 87429 <= 1332? False Is -4 at most as big as -3376/1099? True Which is smaller: -0.1 or 447566719? -0.1 Which is smaller: 1 or -1355/13427? -1355/13427 Which is greater: -116508/8983 or -14? -116508/8983 Does 543422/9 = 60380? False Which is greater: 1350763 or -913? 1350763 Which is bigger: -985516/81 or -12168? -985516/81 Is -5263 equal to -2773560/527? False Is 14156 at most as big as 15300? True Which is greater: -327483 or -327440? -327440 Which is greater: 698235 or 698244? 698244 Which is greater: -3/180632 or 0.03? 0.03 Is 130 < -1381308? False Which is smaller: 425560/197 or 2160? 2160 Are -12244428 and -12244427 equal? False Do 46388728 and 46388732 have different values? True Is -210984.855 not equal to 0? True Which is greater: 14441253 or 14441252? 14441253 Is -1/4 < 31/97978? True Do 64 and 23849/376 have the same value? False Are -57652 and -57272 non-equal? True Do 19134 and -0.0264 have the same value? False Which is smaller: -323.621 or -2/7? -323.621 Is 1486163 not equal to 1486197? True Is -3548316 smaller than -4? True Do 9899 and 9984 have the same value? False Which is greater: -1 or 1288/10533? 1288/10533 Which is smaller: -35292295 or -35292298? -35292298 Is -5368 at most -998471/186? False Is 0 bigger than 3/760305151? False Is -1645611 at least -1645555? False Is -37674 >= -37686? True Which is smaller: -4182 or 285? -4182 Is 1/101627660 at most as big as 1? True Does 653888 = -7? False Which is greater: 0 or -2762/10929? 0 Which is smaller: -1 or -2/94335403? -1 Which is greater: 1747904 or 1747977? 1747977 Are 2/428307853 and -1 equal? False Which is smaller: 1551523987 or 1551523986? 1551523986 Which is smaller: 1943 or -1115? -1115 Which is smaller: 44408073 or 44408074? 44408073 Do 3931398/11 and 357400 have the same value? False Is -113077/4845 greater than -22? False Is -572892.215 smaller than -1? True Which is bigger: -54/582451 or -2/3? -54/582451 Are 420 and 453512/1081 non-equal? True Is 28.6 not equal to 35084? True Is 69945619 equal to 69945617? False Which is smaller: -669314168 or -669314170? -669314170 Which is smaller: 19326159/2 or 9663079? 9663079 Is -94741 greater than -88448? False Is -23870 <= 51? True Which is smaller: -1195/10226 or -1? -1 Is -4737 > -1879? False Which is bigger: 1 or -363/522575? 1 Is -1 less than 2072/393923? True Are 2/17012943 and 0 nonequal? True Which is bigger: -5245 or 1167? 1167 Which is bigger: 207210/28027 or -1? 207210/28027 Are -988426 and -9
{ "pile_set_name": "DM Mathematics" }
is i(-80)? -235 Let n(o) = 59*o + 7657. What is n(-131)? -72 Let n(h) = -21*h**2 + 135*h + 487. Give n(9). 1 Let v(a) = a**3 + 33*a**2 - 44*a - 313. What is v(-34)? 27 Let q(i) = 79*i**2 - 18*i - 34. What is q(-2)? 318 Let k(m) = -77922*m + 4129874. Calculate k(53). 8 Let w(d) = d**3 + 670*d**2 - 192477*d + 1780. Calculate w(-887). 6 Let v(p) = 87*p**2 - 2434*p - 78. Calculate v(28). -22 Let k(q) = -q**2 - 14816*q + 445368. Give k(30). -12 Let z(b) = 2*b**3 - 254*b**2 - 7*b + 874. Determine z(127). -15 Let u(k) = k**2 + 2587*k + 281959. Determine u(-114). 37 Let l(v) = -v**2 - 105*v + 8996. Calculate l(-171). -2290 Let q(x) = 5036*x**2 - 110796*x + 92. What is q(22)? 4 Let i(j) = -509*j + 26459. What is i(52)? -9 Let v(u) = 133*u**3 + 189662*u**2 + 5703*u - 1421. Give v(-1426). 5 Let t(y) = -28505*y**2 + 342063*y - 35. Determine t(12). 1 Let o(k) = 2*k**3 - 346*k**2 + 346*k - 323. Give o(172). 21 Let j(n) = -20*n**2 + 170*n - 167. What is j(7)? 43 Let s(b) = b**2 - 2296*b + 110082. Give s(49). -21 Let l(h) = 239*h**3 + 94660*h**2 + 6333*h - 1174. What is l(-396)? 14 Let a(d) = -21446*d + 814918. What is a(38)? -30 Let h(q) = 1139*q + 599152. What is h(-526)? 38 Let s(v) = -912*v - 11128. Give s(-12). -184 Let a(f) = 7262*f - 86068. Give a(12). 1076 Let b(h) = -h**3 - 46*h**2 - 88*h - 1815. Give b(-45). 120 Let o(m) = 2*m**3 + 24*m**2 - 432*m + 112. Determine o(10). 192 Let s(q) = 12*q**3 - 167*q**2 - 55*q + 20. What is s(14)? -554 Let n(d) = -2*d**2 - 27*d + 467950. Give n(477). 13 Let n(u) = 87*u**2 + 1607*u - 844. Determine n(-19). 30 Let n(l) = -2051*l - 80013. Determine n(-39). -24 Let n(b) = 2*b**2 - 1477*b - 299182. What is n(904)? 42 Let s(o) = -o**2 - 2281*o - 291751. Give s(-136). -31 Let y(t) = 2*t**3 + 78*t**2 - 6827*t + 887. Calculate y(42). -79 Let w(m) = -318*m + 20676. What is w(66)? -312 Let g(v) = 6*v**2 + 1019*v - 356. Determine g(-170). -186 Let u(i) = i**3 + 242*i**2 + 5030*i - 1499. Calculate u(-219). 34 Let t(f) = -f**3 + 1271*f**2 + 6360*f + 8. Give t(-5). 108 Let f(j) = 156794*j + 20540024. Give f(-131). 10 Let x(n) = 87*n**2 + 4042*n + 12111. Give x(-3). 768 Let t(i) = -3*i**2 - 1443*i + 8780. Determine t(6). 14 Let p(a) = -1171*a + 7841. Determine p(8). -1527 Let z(p) = 3*p**2 - 609*p + 14704. Determine z(28). 4 Let l(x) = -2*x**3 + 193*x**2 - 3084*x + 8130. Calculate l(16). 2 Let x(y) = 19*y**2 - 14*y - 44. Calculate x(-3). 169 Let d(i) = -9281*i + 55522. Determine d(6). -164 Let v(l) = l**3 - 6*l**2 + 358*l - 4141. Give v(10). -161 Let g(k) = -57*k**2 + 977*k - 73. Determine g(17). 63 Let v(u) = -9*u**3 + 118*u**2 - 36*u + 163. Give v(12). 1171 Let x(m) = -277*m + 46548. Give x(168). 12 Let u(p) = -3593*p - 43262. Determine u(-12). -146 Let a(q) = 507*q + 11013. Determine a(-20). 873 Let g(a) = 3*a**3 + 261*a**2 + 292*a + 2281. Calculate g(-86). -643 Let g(c) = -3761032*c - 82742708. Give g(-22). -4 Let d(m) = 3*m**3 + 66*m**2 + 1319*m + 35106. Give d(-24). -6 Let q(m) = -m**3 + 20*m**2 - 75*m + 195. Calculate q(6). 249 Let z(q) = 2*q**3 + 59*q**2 - 636*q - 6. Give z(-38). -386 Let z(q) = -2*q**3 + 14*q**2 + 209*q + 471. Calculate z(-8). 719 Let p(u) = -u**3 + 16*u**2 + 18*u - 472. Determine p(9). 257 Let h(t) = 2065*t + 9730. Calculate h(-5). -595 Let v(l) = l**2 - 73154*l + 1170205. Give v(16). -3 Let b(u) = 21*u**2 - 2828*u + 64430. Calculate b(29). 79 Let t(f) = 278*f**2 + 786*f - 134. What is t(-3)? 10 Let m(y) = -50*y**3 + 1299*y**2 + 28*y - 48. Calculate m(26). 4 Let z(x) = -3*x**2 + 250*x + 631. Calculate z(86). -57 Let t(b) = 3201*b - 9619. Give t(3). -16 Let y(k) = -1479*k + 1829. Calculate y(-2). 4787 Let k(a) = -1904*a + 34146. Give k(18). -126 Let n(m) = -18*m**2 + 172*m - 427. What is n(4)? -27 Let x(a) = -3654*a + 25901. Calculate x(7). 323 Let m(r) = -40*r**2 - 3912*r + 167436. Calculate m(-130). -4 Let i(t) = -1687*t + 22139. Calculate i(14). -1479 Let p(i) = -i**3 - 140*i**2 + 1173*i - 1784. What is p(-148)? -156 Let k(n) = -2*n**3 + 796*n**2 - 17954*n + 753. Calculate k(374). 5 Let t(q) = 391*q + 69590. Calculate t(-178). -8 Let q(u) = -2*u**2 - 132*u - 2. Give q(-65). 128 Let f(v) = v**3 + 14*v**2 - 10*v - 7. Give f(3). 116 Let v(i) = -345*i**3 - 3408*i**2 + 442*i + 212. Determine v(-10). -8 Let f(n) = 12*n**2 - 834*n + 398. Give f(69). -16 Let w(v) = -v**3 - 325*v**2 - 900*v + 21199. Calculate w(-322). -53 Let x(j) = -4201*j + 9167. Determine x(2). 765 Let z(s) = s**3 + 7*s**2 + 20*s - 111. Determine z(-11). -815 Let f(z) = 6*z**3 + 1015*z**2 - 846*z + 640. Give f(-170). -40 Let z(i) = -i**3 + 30*i**2 + 117*i + 10. Give z(-4). 86 Let z(a) = 23*a**3 + 209*a**2 - 12*a + 24. What is z(-9)? 294 Let p(h) = -8467*h + 1109178. Give p(131). 1 Let o(a) = -a**3 - 907*a**2 - 1044*a - 124997. Calculate o(-906). 31 Let h(a) = -3685*a + 70002. Give h(19). -13 Let y(f) = -2*f**2 + 596*f - 19536. Calculate y(261). -222 Let n(g) = -18113*g + 163025. Give n(9). 8 Let v(p) = -146*p**2 + 128*p + 4. Give v(2). -324 Let l(j) = 70*j**2 + 4053*j - 4541. Determine l(-59). 2 Let n(d) = -30014*d + 2221071. Calculate n(74). 35 Let w(k) = 465*k - 6329. Give w(16). 1111 Let r(k) = -k**3 - 47*k**2 - 288*k + 1189. Calculate r(-11). 1 Let h(r) = 5873*r - 1703167. Give h(290). 3 Let p(r) = 2*r**2 - 37*r - 189. Calculate p(35). 966 Let l(q) = -85*q**3 - 7*q**2 + 13*q - 1. Calculate l(-4). 5275 Let h(a) = 2064*a + 18224. Determine h(-9). -352 Let j(f) = -f**2 - 12813*f + 64122. Determine j(5). 32 Let k(f) = -1203*f + 4211. Calculate k(4). -601 Let d(f) = 16847*f + 33729. Determine d(-2). 35 Let o(y) = 22*y**2 + 490*y + 4237. What is o(-9)? 1609 Let w(x) = -6069*x**2 - 60663*x - 54. Determine w(-10). -324 Let a(c) = c**3 + c**2 + 363*c + 2213. Determine a(-6). -145 Let m(h) = 24*h**2 + 2285*h + 36087. Calculate m(-20). -13 Let d(n) = -n**3 + 13*n**2 - 192*n + 3315. What is d(15)? -15 Let v(r) = 4412*r + 30927. What is v(-7)? 43 Let g(i) = i**2 - 151*i - 3097. Calculate g(-18). -55 Let i(q) = 10*q**3 - 9*q**2 - 31*q + 334. Calculate i(6). 1984 Let u(f) = -46*f - 1562. Calculate u(-44). 462 Let i(q) = -2061*q + 47405. Give i(23). 2 Let r(h) = -h**2 + 307505*h - 307501. Determine r(1). 3 Let d(p) = 39*p - 3825. Determine d(117). 738 Let k(j) = -1026*j - 8750. Give k(-8). -542 Let q(l) = l**3 - 2*l**2 + 1342*l - 5387. Determine q(4). 13 Let p(y) = y**3 - 4596*y**2 - 101595*y + 11. Determine p(-22). -11 Let a(s) = 4041*s**2 - 28065*s - 5. Give a(7). 1549 Let j(h) = -3*h**3 + 485*h**2 + 14817*h + 6581. Give j(188). 1 Let j(a) = 5*a**2 + 780*a - 77630. Determine j(69). -5 Let s(o) = 41734*o + 4173412. Determine s(-100). 12 Let l(b) = b**3 - 153*b**2 + 1695*b + 12. Determine l(12). 48 Let n(i) = 411*i + 6588. What is n(-16)? 12 Let u(b) = 274*b - 2445. Give u(9). 21 Let g(y) = -6*y**3 + 550*y**2 + 1196*y - 42047. Give g(93). -11 Let u(y) = -33333*y - 6999939. Calculate u(-210). -9 Let l(s) = s**3 - 425*s**2 + 28672*s - 9550. Give l(341). -2 Let t(b) = 2*b**2 - 11054*b + 10848554. What is t(1276)? 2 Let c(b) = -91*b**2 + 1519*b - 6324. Calculate c(8). 4 Let h(g) = -5127*g + 10472. Give h(2). 218 Let l(k) = 773*k - 12223. Give l(15). -628 Let s(v) = -1045*v + 129588. Calculate s(124). 8 Let p(h) = -5*h**3 - 402*h**2 + 2018*h + 145. Give p(5). -440 Let x(t) = -6*t**3 + 1071*t**2 + 2716*t - 639. Give x(181). -458 Let h(j) = 15940*j + 589764. What is h(-37)? -16 Let v(q) = -3*q**2 - 1638*q - 184681. Determine v(-387). -82 Let l(o) = o**3 + 2096*o**2 - 50870*o - 223. Determine l(24). 17 Let n(k) = -130*k - 11253. Give n(-82). -593 Let g(y) = -120*y**2 - 72*y - 2. Give g(-1). -50 Let x(h) = 2*h**2 + 508*h + 29163. Determine x(-74). 2523 Let t(r) = r**2 - 17021*r + 136110. Give t(8). 6 Let h(y) = -503*y**3 - 591*y**2 + 589*y + 2. Calculate h(1). -503 Let n(a) = -4*a**2 - 624*a + 22343. What is n(-186)? 23 Let j(s) = 6*s**2 + 195*s + 1421. Give j(-12). -55 Let s(r) = -25936*r - 8. Determine s(0). -8 Let q(n) = 2*n**3 - 62*n**2 + 488*n + 60. Give q(14). 228 Let k(z) = -135*z + 42984. Determine k(318). 54 Let w(h) = -11*h**3 - 287*h**2 - 748*h - 18776. What is w(-26)? -4 Let f(i) = 5*i**2 + 548*i + 13814. Calculate f(-38). 210 Let j(t) = -1536*t**2 - 1447*t - 2. What is j(-1)? -91 Let y(r) = -15*r**2 + 15400*r + 20566. Determine y(1028). 6 Let
{ "pile_set_name": "DM Mathematics" }
ollect the terms in -110442466*a**3 - 2*a + 110442468*a**3 + 0*a + 2*a. 2*a**3 Collect the terms in -8719*k**2 + 17428*k**2 - 8721*k**2. -12*k**2 Collect the terms in -299 - 72*z - 315 + 837 - 279. -72*z - 56 Collect the terms in -49*d**3 + 108*d**3 + 80*d**3 + 82*d**3 + 34*d**3 + 50*d**3. 305*d**3 Collect the terms in 40*z - 41*z + 5309*z**3 - 5712*z**3. -403*z**3 - z Collect the terms in -2090*v**2 - v**3 + 3319*v**2 + 840*v**2 - 2069*v**2. -v**3 Collect the terms in -334064*a + 334064*a + 28401*a**3. 28401*a**3 Collect the terms in 26*g**2 + 8445*g - 956*g - 6*g**2 - 21*g**2. -g**2 + 7489*g Collect the terms in 309*f + 315 + 299*f - 914*f + 305*f. -f + 315 Collect the terms in p**3 + 44551*p - 133603*p + 44501*p + 44551*p. p**3 Collect the terms in -2*a - a - 127 + 2*a - 785. -a - 912 Collect the terms in -119*r**2 + 12208*r + 243*r**2 - 1946*r - 125*r**2. -r**2 + 10262*r Collect the terms in 136044*h**3 - 42223*h**3 + 8485*h**3 + 198762*h**3. 301068*h**3 Collect the terms in 1148983*y**2 - 683078*y**2 + 2454716*y**2. 2920621*y**2 Collect the terms in 98384 + 4*t**2 - 4*t**2 + 98380 - 295147 - t**2 + 98383. -t**2 Collect the terms in -5713*f**2 - 1552*f**2 + 8831*f**2 - 1563*f**2. 3*f**2 Collect the terms in -16177119535876*g + 16177119535876*g - 14*g**2. -14*g**2 Collect the terms in 133*k**2 - 19671*k - 19675*k + 80 + 39346*k. 133*k**2 + 80 Collect the terms in 635048792*l**2 - 635048794*l**2 - 4 - 7. -2*l**2 - 11 Collect the terms in 855 - 855 - 49*l - 5080*l. -5129*l Collect the terms in -w + 199084 + w + 199269 - 10*w**2 - 398353. -10*w**2 Collect the terms in -77 + 72*r - 71*r + 2*r**2 + 399. 2*r**2 + r + 322 Collect the terms in u**3 + 178 - 69*u**2 + 178*u**2 - 107*u**2. u**3 + 2*u**2 + 178 Collect the terms in 21872*n**2 + 74059*n - 21866*n**2 - 74053*n. 6*n**2 + 6*n Collect the terms in -23 - 7 - 10 + 30*t**3 - 12 + 4. 30*t**3 - 48 Collect the terms in 20577*c + 64940*c + 44850*c. 130367*c Collect the terms in 0 - 1232*c - 1 - 4 + 472*c**2. 472*c**2 - 1232*c - 5 Collect the terms in 272*b + 274*b + 273*b - 1950*b + 1123*b. -8*b Collect the terms in -716*w - 706*w + 2053*w - 643*w. -12*w Collect the terms in -297 - 56 + 21508*v**2 + 21509*v**2 - 43019*v**2 + 237 - 714. -2*v**2 - 830 Collect the terms in -1795*h**2 - 4801678*h + 4801678*h + h**3. h**3 - 1795*h**2 Collect the terms in 4 - 3*b + 0 - 4*b + 5*b + 345*b**2 - 833*b**2. -488*b**2 - 2*b + 4 Collect the terms in -101*t**2 - 47*t**2 - 103*t**2 - 89*t**2 + 342*t**2. 2*t**2 Collect the terms in -154 - 23 + 18039*n - 71775*n. -53736*n - 177 Collect the terms in 1392*v + 209 - 690*v - 697*v. 5*v + 209 Collect the terms in 1968*t + 308 - 308. 1968*t Collect the terms in -7 + 656*a**2 + 729*a**2 + 123*a**2 - 245*a**2 - a - 117*a**2. 1146*a**2 - a - 7 Collect the terms in -150 + 483 - 333 - 3309*k**2. -3309*k**2 Collect the terms in 321*s**3 - 325*s**3 + 84*s - 41 - 45 + 86. -4*s**3 + 84*s Collect the terms in 0*t + 7*t + t - 235670*t**3 - 8*t. -235670*t**3 Collect the terms in -174 - 774*i**2 - 790*i**2 + 5*i + i**3 + 1564*i**2. i**3 + 5*i - 174 Collect the terms in -29*c**2 + 8693723377 + 29*c**2 - 3*c**3 - 8693723377. -3*c**3 Collect the terms in 635*b**3 + 548*b**3 - 429*b**3 + 363*b**3. 1117*b**3 Collect the terms in 207*h - 276*h - 2780*h - 15 + 14 + 252*h. -2597*h - 1 Collect the terms in 28*i + 25*i + 130 - 130 + 16*i. 69*i Collect the terms in -643*d - 651*d - 653*d + 1945*d + 281 - 198. -2*d + 83 Collect the terms in f**2 - 14155 - 14161 - 14151 + 42467. f**2 Collect the terms in -14066*v**2 - 22 - 50513*v**2 - 20399*v**2 - 16759*v**2. -101737*v**2 - 22 Collect the terms in -330*r + 53 - 1779*r**2 + 14 - 151*r. -1779*r**2 - 481*r + 67 Collect the terms in 11258*b**2 - 2815*b**2 + 5 - 5 - 2812*b**2 - 2826*b**2 - 2827*b**2. -22*b**2 Collect the terms in -723240*k + 2170157*k - 723321*k - 723313*k. 283*k Collect the terms in 4569*b**3 + 10*b - 10*b - 2093*b**3 - 2160*b**3. 316*b**3 Collect the terms in 5*c + 72*c - 74*c - 587*c - 807*c. -1391*c Collect the terms in 632 + u + 2*u + 596 + 607 - 2412 + 577. 3*u Collect the terms in 432 - 249305*s**2 - 217 - 215 + 854453*s**2. 605148*s**2 Collect the terms in -26 - 7*j**3 + 162 - 67*j**2 + 67*j**2 - 136. -7*j**3 Collect the terms in -4 + 22 + 12*k - 8 - 10 - 7033*k**2 + 7034*k**2. k**2 + 12*k Collect the terms in 98*u - 44*u + 25*u - 19*u + 2. 60*u + 2 Collect the terms in -234*a**2 - 110 + 42 + 33 + 35 + 264*a**2. 30*a**2 Collect the terms in -15210535*q + 5070274*q + 2 + 5069975*q + 5070284*q - 2. -2*q Collect the terms in 566*p - 412*p - 1123*p. -969*p Collect the terms in -2012*d**3 + 65*d**3 + 48*d**3 + 1880*d**3. -19*d**3 Collect the terms in -3193*t**2 - 6538*t**2 + 9720*t**2. -11*t**2 Collect the terms in 78555083929*j**2 + 2*j**3 - 78555083929*j**2. 2*j**3 Collect the terms in -79758*k**3 - 60425*k**3 + 140181*k**3. -2*k**3 Collect the terms in 29330*w**2 + 72 + 29330*w**2 + 4*w**3 + 29328*w**2 - 87988*w**2. 4*w**3 + 72 Collect the terms in 16965 + 2*k - 4*k - 13*k - 34151 + 17186. -15*k Collect the terms in -159003*p**2 - 159169*p**2 + 318443*p**2. 271*p**2 Collect the terms in 532*b**2 - 95*b**2 + 288*b**2 + 357*b**2 - 112*b**2. 970*b**2 Collect the terms in -7268 + 14581 - 7313 - 42*h. -42*h Collect the terms in -48887*v - 48825*v + 98131*v. 419*v Collect the terms in -185 + 47 + 59 + 79 - 143*g**3. -143*g**3 Collect the terms in 1 - 2 - 56*d**2 + 8*d - 2 + 2. -56*d**2 + 8*d - 1 Collect the terms in -431738*j**2 - 430556*j**2 - 430558*j**2 + 1292845*j**2. -7*j**2 Collect the terms in -245 + 270 + 136099*r - 2*r**2 - 136099*r. -2*r**2 + 25 Collect the terms in 22025*q - 66236*q + 22096*q + 22094*q. -21*q Collect the terms in -499624*q + 249758*q + 249866*q - q**3. -q**3 Collect the terms in -17398*b + 6735*b + 10659*b. -4*b Collect the terms in 7*u**3 - 15*u**3 + 93633 + 26*u - 93633 - 8*u. -8*u**3 + 18*u Collect the terms in -106*z**2 + 12*z**2 + 5*z**2 + 87*z**2 + 4*z**2 + 0*z**2. 2*z**2 Collect the terms in -802767*l**2 - 802706*l**2 + 1605468*l**2. -5*l**2 Collect the terms in -7 - 1105*z**2 - 5 + 7. -1105*z**2 - 5 Collect the terms in 4*m - 1085*m**2 - 3 + 0 + 5 + m. -1085*m**2 + 5*m + 2 Collect the terms in -11 - 25 - 879*u + 1310*u. 431*u - 36 Collect the terms in z - 99 - 85 - 307*z**2 - 36. -307*z**2 + z - 220 Collect the terms in n + 15*n**2 + n - 105 - 107 - 6*n + 212. 15*n**2 - 4*n Collect the terms in 8 - l**2 + 31 - 64 - 38 + 63. -l**2 Collect the terms in -4619 - 4645 + 13*a**3 + 11*a**3 + 13888 - 4624 - 17*a**3. 7*a**3 Collect the terms in -18867474535*q - 5*q**3 + 9433737267*q + 9433737268*q. -5*q**3 Collect the terms in 303949 + 303993 - 911881 + 303939 - 9*a. -9*a Collect the terms in -173470328638 - 29*b + 173470328638. -29*b Collect the terms in -835*o**3 + 1580*o**3 + 6042*o**3. 6787*o**3 Collect the terms in -2992 - 3348 + 1633 - 3*s - s - s. -5*s - 4707 Collect the terms in -21 - 47992*o + 8 + 13. -47992*o Collect the terms in d**3 + 3006*d - 977*d - 982*d + d**3 - 1016*d. 2*d**3 + 31*d Collect the terms in -13*c**3 - 715*c**2 + 96*c + 715*c**2. -13*c**3 + 96*c Collect the terms in 3184*q - 12767*q + 3193*q + 3185*q + 3199*q. -6*q Collect the terms in 600*v + 613*v - 3024*v + 624*v + 602*v + 616*v. 31*v Collect the terms in -636956*u**3 - 927357*u**3 + 152273*u**3 - 595203*u**3. -2007243*u**3 Collect the terms in -13552238876 - 25*v**2 + 13552238876. -25*v**2 Collect the terms in 34*l + 7*l + 260*l**2 + 2*l. 260*l**2 + 43*l Collect the terms in 0 + 22420*f - 6902*f + 2 - 2. 15518*f Collect the terms in c**3 + 63*c**2 + 20*c**2 - 8*c + 80*c + 6. c**3 + 83*c**2 + 72*c + 6 Collect the terms in -430604*q + 1292426*q - 430919*q + 3*q**2 - 430903*q. 3*q**2 Collect the terms in -88967*d**3 + 88964*d**3 + d + 506 - d. -3*d**3 + 506 Collect the terms in 2797*l**2 - 5599*l**2 - 126*l + 133*l + 2797*l**2. -5*l**2 + 7*l Collect the terms in -121*i - 123*i + 485*i - 122*i - 119*i - 8762*i**3. -8762*i**3 Collect the terms in -16729 - 50*k + 16729. -50*k Collect the terms in -96 + 0*h + 39 - 42*h**3 + 0*h + 59 + h**2. -42*h**3 + h**2 + 2 Collect the terms in 25753*g - 8*g**2 - 309 + 0*g**2 - 25751*g + 7*g**2. -g**2 + 2*g - 309 Collect the terms in -452*j + 2224*j - 887*j - 889*j. -4*j Collect the terms in
{ "pile_set_name": "DM Mathematics" }
z - 258 = -64*y + 92*z for y. 4 Solve -n + 76950 = 18*p + 77005, 5*n - 3*p + 461 = 0 for n. -91 Solve 2*m + 3*m = -8*f + 1, -80*m - 93*m + 3*f = -178*m - 9 for m. -3 Solve -33 = 3*c - 0*g - 9*g, -72 = 2*c - 18*c - 36*c - 5*g for c. 1 Solve 0 = -6*s + 60, -5547*s - 52 - 53 = 25*z - 5545*s for z. -5 Solve -5*d - 11*i = -6*i + 40, 1193 = -d - 4*i + 1173 for d. -4 Solve -432 = -5*i - 447, 5*p + 47 = -6*i + 2*i for p. -7 Solve -4*h = 3*o - 30 - 2, -3*o + 326909 - 326891 = -3*h for h. 2 Solve 0 = -3*r - 14*b + 51, -505 + 523 = r + 5*b for r. 3 Solve -16*u = 4*a + 60, 2*a - 3*a - u + 1 = 22 for a. -23 Solve -4*z + 0*z - p + 1746 = 1750, -z = 3*p - 21 for z. -3 Solve 149990*d - s = 149988*d - 3*s - 30, -4*d - 6*s = -s + 77 for d. 2 Solve t = 5*r + 14, -13*r + 15*r - 2 + 26 = 5*t for r. -2 Solve -941*l + 41 = -937*l - 7, 3*l = -4*c + 32 for c. -1 Solve 136 = -c + 5*i, 30*i + 110 = -c + 954 for c. 4 Solve 11*p - 2*p + 102 = -3*d, -3*p - 2*d + 126 = -5*d for p. 2 Solve -3*s = -2*l + 3, -67*l = 184*l + 3*s - 1515 for l. 6 Solve -3*o - 22 = -16*p + 14*p, -33*o + 30*o = 5*p - 13 for p. 5 Solve 5*x + 3*j = -44, -3*x = j - 474814 + 474826 for x. 2 Solve -61 - 19 = 5*u + 1402*r - 1407*r, -3*r = u - 4 for u. -11 Solve l + 6 = 2*h, 407*h - 409*h = 5*l + 54 for h. -2 Solve -2*r = -2 - 16, r - 45 = j - 5*j - 56 for j. -5 Solve -z = -2*d - 4, 6*z = 5*d - d - 2335 + 2351 for z. 2 Solve x - 5*d = 16, -4*x - 18*d - 36 = 20 + 70 for x. -9 Solve -3*p + 5*l = -238, 3*p + p - 476 = 18*l - 136 for p. 76 Solve -5*f - 25 = -f + x, 2*f + 38*x = 48*x + 29 + 3 + 92 for f. -3 Solve n = 3*z - 34 + 109, 50 = 5*n - 2*z for n. 0 Solve -6*y + 10*l + l = 9, -y = -5*y + 8*y - 5*l - 1 for y. 4 Solve -2291 = 4*m + 12*c - 2207, 2*c = 5*m + 37 for m. -9 Solve 0 = 5*g - 4*g + 2*r + 46 - 6, -5*r + 67 = -5*g - 8*r for g. -2 Solve -63*x + 3*n + 401 = 16*x, 0 = 5*x - 9*x + 37*n + 60 + 34 for x. 5 Solve -14*g - 2*f = 100, -3*f + 53474 - 53424 = -3*g - g for g. -8 Solve 107 = u - 53*k - 166 - 168 + 74, 4*k = -28 for u. -4 Solve -7 - 4 = -2*d - 15, 16*d - 2 = l + 14*d - 3 for l. -3 Solve -3*a - a - 7*v = -46, -76*a + 83*a - 19 = -2*v for a. 1 Solve 1114*f - 1110*f = 5*t - 12, -10*f - 30 = -8*t for f. -3 Solve 36*n - 54*n - 1 = -t - 17*n, -4 = -t + 4*n for t. 0 Solve -50*v + v + 339 = 2*z, 52*v - 54*v + 3*z + 18 + 6 = -2*z for v. 7 Solve -8*p + 496*c - 518*c = 138, -6*p - 2*c - 176 = 0 for p. -31 Solve -x = 3*v - 58, x - 39 - 105 = -8*v + 9 for v. 19 Solve b - 1564 = 5*d - 1580, -88 = 4*b - 8*d for b. -26 Solve 4*d = -6*z + 29315 - 29451, -3*d = -z + 102 for d. -34 Solve q + r - 4 = 4, 8 = 93103*q - 93104*q + 3*r for q. 4 Solve 4*w = 7*w + 5 + 4, -4*w - w - 33 = -3*t for t. 6 Solve -2405*n + 8 = -2408*n - w, -n + 88 = -5*w for n. 3 Solve -54*f - 48 = 3*b - 50*f, 68 = 2*b - 4*f for b. 4 Solve 109 = -2*u - 3*r + 124, -r = 107*u - 419 + 95 for u. 3 Solve -26*n = 3*i + 50, -193*i - 26 = 4*n - 189*i + 10 for n. -1 Solve 16*b = 3*k + 48, -6*k - b - 4*b + 9 = -2*b for k. 0 Solve -2*w + 1 = -1, j + 3*j - 4*w + 545 = -3*w + 520 for j. -6 Solve -3*s = 18*u + 1144 - 1021, -s = -2*u - 7 for s. -5 Solve 3*a - 14 = -2*h, -2*a = -5*h - 2003 + 2019 for h. 4 Solve -4*l - 6*j = 0, -295*l + 5*j = -290*l + 8*j for l. 0 Solve 2*s + z + 45 = 0, 2*s + 5*z + 125 = 2*s - 6*s for s. -25 Solve -3*d + 688 = f + 678, -185*f + 175*f = -3*d - 100 for d. 0 Solve -73*c - 8*a + 28 = -69*c, 3*a = -2*c - 4*a + 17 for c. 5 Solve -23 = -119572*s + 119573*s - 3*f, 380 = -4*s - 60*f for s. -35 Solve -24*i + 70 = r, 592*i - 590*i - 3*r + 3*r = -3*r for i. 3 Solve o + 0*o = 2*t - 3, 47*t - 101*t + 59*t = 7*o + 30 for t. -1 Solve 26538*s = 26533*s + 4*v + 16, 9 = s + 5*v for s. 4 Solve 4*d + 42 = 3*x + 51, d + 0*x = 2*x - 7*x - 15 for d. 0 Solve h - 49 = -j + 6*h, 4*j + 5*h + 12310 = 12531 for j. 54 Solve -5*q - 3*v - 1 = 0, 5754*q - 2882*q - 30*v - 59 = 2873*q for q. 1 Solve 376164*a - 3*j = 376163*a + 2, -80*j + 434 = 2*a for a. 17 Solve 1255*z + k = 1251*z, -5*z - 5*k = 15 for z. 1 Solve 10*m - 2*q + 19 = -7*q - 0 - 1, -22*m + 3*q - 44 = 4*q for m. -2 Solve 3*l + 12 = -3*n, 7*n - 4276*l = -4274*l - 19 for n. -3 Solve -4*m - 5358 = -4*x - 5322, 8*m - 3*x = -62 for m. -7 Solve -9*l - 1 = 251*b - 475*b + 220*b, 11 = -3*b - 5*l for b. -2 Solve 4*t + 4*t + 3583*s - 66 = 3580*s, 0 = -5*t + 3*s + 51 for t. 9 Solve 4*a - 4*l = 16, -134*a + 143714*l - 139 = 143715*l for a. -1 Solve -3*t + 4*z + 0 = 6, -6127 + 6085 = -27*t + 4*z for t. 2 Solve -3*r = -4*n - 30, -43*n - 51*r + 29*r - 385 = -23*r for n. -9 Solve 0 = 3*o - 14*g + 9*g + 130, -150 = -2519*o + 2518*o - 5*g for o. 5 Solve 3*q = 15, -1043*q - 8 + 63 + 9 = y - 1041*q for y. 54 Solve s = -0*s - 4*s - 5*f + 50, 31*f + 15 = -2*s + 116 + 64 for s. 5 Solve -40*o + 21498*b - 21500*b - 876 = 0, -o - 31 = -5*b + 1 for o. -22 Solve -16*f = 5*d + 2116 - 2209, 5*d = 5*f + 135 for d. 25 Solve 3*a + 5*u = -32, 1436 = -5*a - 5*u + 1396 for a. -4 Solve -28 = -7*k, -k + 8 = 54*t - 58*t - 3*k + k for t. -3 Solve 0*a = 2*a - 2, 68*l + 3*a = -2*l + 220 - 128 + 611 for l. 10 Solve 0 = -129*d + 125*d - 2*x - 135 - 49, -2*d - 38*x = 3422 for d. -1 Solve 324965*n + 1 = 5*h + 324968*n, 46*h - n - 238 = 0 for h. 5 Solve 0 = 3*v + j - 34, 25*v - 706 = -15*v - 18*j - 6*j + 110 for v. 0 Solve -5*d - 5*y = -125, 38065*y - 232 = -2*d + 38056*y for d. -1 Solve 2*w + 5*y = 14, -238 = -34*w + 21*y - 8*y - 8*y for w. 7 Solve 4769*g - h = 4771*g + 3, 4*g + 5*h = 9 for g. -4 Solve 65 = -5*o, 136347*o - 136336*o = 2*a - 145 for a. 1 Solve b + 53 = -4*u, -276*b + 287*b + 0*u = -3*u - 9 for b. 3 Solve -45 = -o + 5*i, 37642*o - 37643*o + 2*i + 57 = 0 for o. 65 Solve -4*h = 24, -9617 = -9*f + 4*h - 9620 for f. -3 Solve -38 = 2*y + 3*m, -16*y - 4*m = -18*y + 32 for y. -4 Solve -s + 266 = 1139*v - 1055*v, 2*v + 2*s = -132 for v. 4 Solve 3*o = 6*j - 51, -29 + 144 = 14*j - 3*o for j. 8 Solve 4*b - 150 = -251338*y + 251340*y, -2*b = -5*y - 79 for y. -1 Solve 7*n = -5*n - 2*t - 174, 4*t = -n + 404 - 430 for n. -14 Solve 2*s = -5*z - 69, -3*s + 150505 = 2*z + 150537 for s. -2 Solve -5*f - 185655 = -185650, 8*a - f + 295 = 0 for a. -37 Solve -q + 36*v - 39*v + 3 = 0, 19*v = q + 18*v + 5 for q. -3 Solve -c + 2449*g - 2448*g - 42 = 0, -2*c - 2*g + 96 = 0 for c. 3 Solve -2*n + 733785 - 733787 = -3*i, 6*i - 5*n = 8 for i. -2 Solve -4*a + 14 = -2*q, -4*q - 412*a = -416*a + 8 for q. 3 Solve 3*x + 71 = 2*a - 7*a - 5*x, -1 = -a + 6*a - 2*x for a. -3 Solve -5*k + 87*o - 86*o = -165, -2*k - 5*o + 39 = 0 for k. 32 Solve -15*v - 115161 = -5*k - 115201, -8 - 16 = -4*v + 3*v - 5*k for v. 4 Solve 486*q - 483*q + 31 = i, 4*i = 5*q + 47 for i. -2 Solve -90 = -3*h - 5*k, -5*h + 8*h - h = -6*k + 145 - 29 for h. -5 Solve -110 = -3*q + 2*b - 145, 5*q + 62 = 5*b - 33 for q. 3 Solve -3*d - 4*f - 39 = 0, -77 = -37*d + 41*d - 3*f for d. -17 Solve 5*c = 2*c - 166*s + 821, -4*c + 17 - 23 = -5*s + 31 for c. -3 Solve -26 = 54*y - 50*y - h + 131, 4*h = -3*y - 113 for y. -39 Solve 3*b - 5*y - 396 + 159 = -167, -3*y - 23 = 2*b for b. 5 Solve 14*h = 3*l - 157 + 216, 14*l - h + 3 = 15*l for l. -1 Solve -35 = -7*o + 2*o + 4*n, -77*o + 4*n + 1179 = 352 for o. 11 Solve -5*w + f - 1 = -4, 336 - 663 + 336 = 4*w - 3*f for w. 0 Solve 3*d = -11*w + 135, -5*w + 5*w - 5*d + 6 - 1 = 0 for w. 12 Solve -2*o = -6*u - 16, o - 1965*u + 8 = -1966*u for o. -4 Solve -10448*w + 67 = k - 10435*w, -6*w = -k - 28 for k. 2 Solve 0 = -6*p - r - 23, 0 = -16142*p + 16143*p + 4*r for p. -4 Solve -5*w + 32 = 5*s - 33, -49545*w + 49544*w = 16*s - 178 for w. 2 Solve -204 = 17*b, 4*l + b - 17 - 13 = -5*l + b + 3*b - 3 for l. -1 Solve a = -7, -2*v + 314*a = 313*a - 7 for v. 0 Solve -6*t + 3*v - 434 = 19*t, -11*t - 14*t - 32 = -24*t - 5*v for t. -17 Solve 17522*z = 17523*z - 3*x + 48, -56*x + 46 = -2*z for z. -51 Solve 2*h - 4*n - n = -8*n - 31, -3*n - 55 = 5*h for h. -8 Solve 36516*o - 36521*o + 54 = 6*f, -5*o = -4*f + 36 for f. 9 Solve n - 6*n - 18*d = -56*d + 24*d + 19*d - 45, -4*d + 34 = 2*n for n. 1 Solve -22*m = -10*u - 17*m - 120, -4*u = -9*m + 76 for u. -10 Solve -9984*v - 2*q = -9984*v - 10, 21*v - q - 310 = 0 for v. 15 Solve -6*g = -5*d - 9, -41*g + 22 = -82*g + 45*g + 2*d for g. 4 Solve -f + 51 = 4*k, 5*f + 0*f = 19*k + 561 - 774 for f. 3 Solve 289*s = -35*p + 290*s - 109, -3 = -3*p - 3*s
{ "pile_set_name": "DM Mathematics" }
is 445 minutes before 5:30 AM? 10:05 PM How many minutes are there between 2:12 PM and 10:35 PM? 503 What is 253 minutes after 8:57 PM? 1:10 AM What is 418 minutes after 3:58 AM? 10:56 AM What is 481 minutes after 5:54 PM? 1:55 AM What is 302 minutes before 2:17 AM? 9:15 PM How many minutes are there between 9:03 AM and 8:51 PM? 708 What is 56 minutes before 7:59 AM? 7:03 AM What is 38 minutes after 10:29 PM? 11:07 PM What is 667 minutes after 8:35 AM? 7:42 PM What is 419 minutes before 7:44 PM? 12:45 PM What is 524 minutes before 3:40 PM? 6:56 AM What is 459 minutes before 1:31 PM? 5:52 AM What is 255 minutes before 11:38 AM? 7:23 AM How many minutes are there between 8:21 PM and 11:14 PM? 173 What is 474 minutes before 9:19 PM? 1:25 PM What is 175 minutes after 8:49 PM? 11:44 PM How many minutes are there between 10:45 PM and 2:02 AM? 197 How many minutes are there between 2:34 AM and 3:10 AM? 36 How many minutes are there between 11:36 PM and 1:12 AM? 96 What is 42 minutes after 11:40 PM? 12:22 AM How many minutes are there between 9:21 PM and 3:35 AM? 374 How many minutes are there between 7:29 PM and 3:06 AM? 457 How many minutes are there between 2:55 AM and 12:36 PM? 581 How many minutes are there between 12:13 AM and 1:29 AM? 76 How many minutes are there between 2:19 PM and 7:19 PM? 300 What is 405 minutes before 8:05 PM? 1:20 PM How many minutes are there between 10:05 PM and 3:32 AM? 327 What is 323 minutes before 8:04 PM? 2:41 PM What is 627 minutes after 6:05 AM? 4:32 PM How many minutes are there between 5:09 AM and 5:45 AM? 36 How many minutes are there between 7:37 PM and 5:29 AM? 592 What is 10 minutes before 12:24 PM? 12:14 PM How many minutes are there between 9:10 AM and 11:43 AM? 153 What is 101 minutes before 11:43 PM? 10:02 PM How many minutes are there between 7:13 AM and 1:26 PM? 373 What is 117 minutes before 7:41 AM? 5:44 AM What is 646 minutes after 2:05 PM? 12:51 AM How many minutes are there between 10:56 AM and 2:53 PM? 237 How many minutes are there between 6:44 PM and 6:03 AM? 679 How many minutes are there between 6:40 PM and 9:27 PM? 167 What is 166 minutes after 6:53 PM? 9:39 PM What is 630 minutes after 4:30 PM? 3:00 AM What is 270 minutes before 11:11 PM? 6:41 PM What is 243 minutes after 11:10 PM? 3:13 AM How many minutes are there between 11:00 PM and 2:31 AM? 211 How many minutes are there between 10:35 AM and 6:43 PM? 488 How many minutes are there between 5:26 PM and 4:53 AM? 687 How many minutes are there between 9:41 PM and 11:24 PM? 103 What is 652 minutes before 3:39 PM? 4:47 AM What is 708 minutes after 7:20 PM? 7:08 AM How many minutes are there between 4:25 PM and 6:20 PM? 115 How many minutes are there between 3:28 AM and 12:37 PM? 549 How many minutes are there between 6:22 PM and 3:38 AM? 556 What is 418 minutes after 7:10 AM? 2:08 PM What is 274 minutes before 1:26 PM? 8:52 AM What is 639 minutes after 11:07 PM? 9:46 AM What is 184 minutes before 8:17 PM? 5:13 PM What is 693 minutes before 8:02 PM? 8:29 AM How many minutes are there between 1:29 PM and 12:48 AM? 679 How many minutes are there between 9:45 AM and 11:55 AM? 130 How many minutes are there between 4:26 PM and 1:06 AM? 520 What is 203 minutes before 2:45 AM? 11:22 PM What is 697 minutes after 9:38 AM? 9:15 PM What is 186 minutes after 7:14 AM? 10:20 AM How many minutes are there between 7:16 PM and 11:30 PM? 254 What is 321 minutes after 6:31 PM? 11:52 PM How many minutes are there between 6:03 AM and 4:27 PM? 624 What is 170 minutes before 10:20 PM? 7:30 PM What is 505 minutes after 9:35 AM? 6:00 PM What is 652 minutes before 7:21 PM? 8:29 AM How many minutes are there between 8:10 AM and 8:51 AM? 41 What is 67 minutes after 2:12 AM? 3:19 AM What is 693 minutes after 6:19 AM? 5:52 PM What is 643 minutes after 3:13 AM? 1:56 PM What is 582 minutes before 4:20 PM? 6:38 AM What is 19 minutes after 11:13 AM? 11:32 AM What is 505 minutes before 8:56 AM? 12:31 AM How many minutes are there between 7:37 PM and 5:53 AM? 616 What is 39 minutes after 11:53 AM? 12:32 PM How many minutes are there between 9:01 AM and 11:18 AM? 137 How many minutes are there between 1:01 AM and 9:51 AM? 530 How many minutes are there between 2:55 PM and 7:51 PM? 296 What is 628 minutes after 3:06 PM? 1:34 AM How many minutes are there between 11:15 PM and 11:55 PM? 40 What is 690 minutes before 4:54 AM? 5:24 PM What is 482 minutes before 1:33 PM? 5:31 AM How many minutes are there between 3:58 AM and 5:01 AM? 63 How many minutes are there between 3:48 PM and 3:33 AM? 705 How many minutes are there between 4:44 PM and 4:14 AM? 690 What is 578 minutes after 9:39 PM? 7:17 AM What is 38 minutes after 4:10 PM? 4:48 PM What is 41 minutes after 7:50 AM? 8:31 AM What is 414 minutes after 12:33 AM? 7:27 AM What is 115 minutes before 9:04 PM? 7:09 PM What is 117 minutes after 4:03 PM? 6:00 PM How many minutes are there between 4:12 PM and 4:23 PM? 11 How many minutes are there between 8:07 PM and 8:59 PM? 52 What is 560 minutes after 3:16 PM? 12:36 AM What is 56 minutes after 2:45 AM? 3:41 AM What is 191 minutes after 3:42 PM? 6:53 PM How many minutes are there between 1:03 AM and 6:18 AM? 315 How many minutes are there between 10:44 AM and 8:29 PM? 585 How many minutes are there between 6:50 PM and 5:02 AM? 612 What is 318 minutes after 3:51 PM? 9:09 PM How many minutes are there between 11:55 AM and 10:47 PM? 652 What is 616 minutes after 8:30 AM? 6:46 PM What is 655 minutes after 11:26 PM? 10:21 AM How many minutes are there between 6:19 PM and 12:19 AM? 360 How many minutes are there between 3:17 PM and 12:36 AM? 559 What is 410 minutes after 2:48 AM? 9:38 AM How many minutes are there between 6:39 PM and 11:56 PM? 317 What is 401 minutes before 4:32 AM? 9:51 PM How many minutes are there between 12:54 PM and 6:21 PM? 327 What is 158 minutes after 9:48 AM? 12:26 PM How many minutes are there between 2:45 PM and 7:22 PM? 277 What is 265 minutes after 6:32 AM? 10:57 AM How many minutes are there between 12:19 PM and 4:56 PM? 277 What is 481 minutes before 11:13 AM? 3:12 AM What is 578 minutes after 2:09 AM? 11:47 AM How many minutes are there between 6:33 AM and 12:14 PM? 341 How many minutes are there between 12:22 PM and 6:47 PM? 385 How many minutes are there between 11:11 PM and 10:23 AM? 672 How many minutes are there between 4:19 AM and 5:41 AM? 82 How many minutes are there between 1:27 PM and 6:01 PM? 274 How many minutes are there between 2:24 PM and 10:47 PM? 503 How many minutes are there between 4:42 AM and 11:28 AM? 406 What is 44 minutes after 6:02 AM? 6:46 AM How many minutes are there between 12:57 AM and 10:54 AM? 597 What is 27 minutes after 9:48 AM? 10:15 AM What is 77 minutes after 4:05 AM? 5:22 AM How many minutes are there between 7:07 PM and 6:16 AM? 669 What is 607 minutes before 4:38 AM? 6:31 PM What is 6 minutes before 9:31 PM? 9:25 PM What is 665 minutes before 10:11 PM? 11:06 AM How many minutes are there between 2:12 PM and 6:24 PM? 252 What is 517 minutes after 8:01 PM? 4:38 AM How many minutes are there between 10:29 PM and 8:40 AM? 611 How many minutes are there between 10:07 AM and 9:50 PM? 703 How many minutes are there between 10:05 PM and 9:49 AM? 704 What is 12 minutes before 11:00 AM? 10:48 AM What is 195 minutes before 3:52 PM? 12:37 PM What is 345 minutes after 11:57 PM? 5:42 AM What is 111 minutes after 2:46 PM? 4:37 PM How many minutes are there between 8:33 AM and 7:37 PM? 664 What is 491 minutes after 3:45 PM? 11:56 PM What is 443 minutes before 2:56 AM? 7:33 PM What is 697 minutes after 8:20 AM? 7:57 PM How many minutes are there between 1:43 PM and 6:41 PM? 298 What is 236 minutes before 11:40 AM? 7:44 AM What is 69 minutes before 2:36 AM? 1:27 AM What is 672 minutes before 7:42 PM? 8:30 AM How many minutes are there between 1:10 AM and 12:05 PM? 655 What is 82 minutes before 2:59 PM? 1:37 PM What is 444 minutes after 1:53 PM? 9:17 PM What is 709 minutes after 10:50 PM? 10:39 AM How many minutes are there between 1:44 AM and 9:45 AM? 481 What is 96 minutes before 11:07 AM? 9:31 AM What is 327 minutes after 12:34 PM? 6:01 PM What is 646 minutes before 11:43 AM? 12:57 AM What is 304 minutes after 6:35 PM? 11:39 PM How
{ "pile_set_name": "DM Mathematics" }
c + k*s and give d. 2 Rearrange 707 + 408 - 18 - 1877*y + 1875*y - 22 to the form z + u*y and give u. -2 Express 2 + 183*i**2 - 30*i**4 - 88*i**2 + 19*i + 0 - i**3 + i**4 - 93*i**2 as p + r*i**2 + u*i + y*i**4 + w*i**3 and give y. -29 Rearrange (5*n + 0*n - 3*n)*(459 - 4 - 73)*(-5*n**2 + 2*n**2 + 2*n**2) to v*n + g + t*n**2 + j*n**3 and give j. -764 Rearrange 344*l**4 - 345*l**4 + 683*l**2 + 301*l**3 - 300*l**3 to f*l**3 + m + s*l**2 + i*l**4 + o*l and give s. 683 Rearrange 3*t**2 + 6*t**3 - 37*t**2 + 7 + 56*t**2 - 7 to x + l*t**2 + u*t + j*t**3 and give l. 22 Rearrange (4*z - 6*z + 6*z)*(-19 + 608 + 7184) to b*z + w and give b. 31092 Express -21273*b + 2200 - 2200 - 4791*b in the form a + h*b and give h. -26064 Rearrange ((-4*i - i + 3*i)*(10765 - 2116 - 4955) - i + 0*i + 2*i)*(3*i**3 + 2*i**3 - 3*i**3) to the form c*i**2 + j*i**4 + q + r*i + d*i**3 and give j. -14774 Rearrange (-686*n**4 + 1514*n**4 - 1397*n**4)*(1 + 3 - 3) - 3*n**4 + 2*n**4 + 5*n**4 to g*n + r*n**2 + q + u*n**4 + a*n**3 and give u. -565 Express 219*i + 152*i - 52 - 540*i + 160*i as l*i + h and give l. -9 Rearrange 19948*a**3 + 4 + 19941*a**3 - 39888*a**3 + 2*a**4 + 12*a**2 - 30*a - 3 to r*a + h*a**2 + t*a**4 + d*a**3 + z and give t. 2 Express (s + 2*s - 4*s)*(2 - 3*s - 2) - 14*s**2 - 60*s**2 + 2*s**2 in the form l + h*s**2 + j*s and give l. 0 Rearrange 6054*q - 1757*q + 3500*q to the form x + k*q and give k. 7797 Express p + 23328 + 0*p - 23326 - 4*p**3 + 4*p**2 in the form z*p**3 + j*p + y*p**2 + l and give l. 2 Express 24*f + 1 - 44*f**2 + 357*f**4 - 5*f**3 - 360*f**4 + 44*f**2 + 12*f**3 in the form s*f**4 + q*f**2 + u*f**3 + x + p*f and give p. 24 Rearrange 2*v**3 - 7*v**3 + 177 - 2*v**2 - 3*v + v + v + 3*v**3 to the form h*v**2 + k*v + c*v**3 + w and give w. 177 Rearrange -182*r**3 + 189*r**3 - 2576*r**2 + 7*r**4 + 5 + r + 2577*r**2 to i*r + f*r**4 + b*r**3 + u + c*r**2 and give u. 5 Rearrange -74*z - 64*z + 202*z - 68*z + 218*z**2 - 49*z**2 to o*z**2 + d + l*z and give o. 169 Rearrange 6*a**3 + 5*a**3 - 2*a**3 + (-5*a + 4*a + 3*a)*(10 - 10 + a)*(-2 + a + 12*a - 28*a) to the form u*a**3 + b*a + k*a**2 + x and give u. -21 Express (-5*t**3 + 0*t**3 + 11*t**3)*(0*t - 3*t - t) + (-5*t + t**2 + 5*t)*(t**2 + 3*t**2 - 3*t**2) in the form w*t**3 + g*t**4 + c*t + d + m*t**2 and give g. -23 Rearrange (724*c**2 - 1534*c**2 + 711*c**2)*(-3*c + 4*c + c)*(-6*c + 2*c + 8*c) to d*c + n*c**4 + i*c**2 + m + y*c**3 and give n. -792 Express -20*i - 66*i**2 + 6*i**4 - 1 + 65*i**2 + 10*i in the form a*i**3 + c*i + r*i**4 + n*i**2 + o and give r. 6 Rearrange 19346*x + 5672*x - 2819*x + 1280*x to the form o*x + d and give o. 23479 Express 247629*a - 116415*a - 120705*a as j*a + o and give j. 10509 Rearrange 3 + t**2 - 4 - 1220*t - 615*t + 259*t to the form h + b*t**2 + r*t and give h. -1 Rearrange -u - 110 - 41 - 111*u**2 + 115*u**2 to the form z + l*u**2 + i*u and give l. 4 Rearrange -m**4 + m**3 + 138*m**2 - 53 - 5*m**3 + 2*m**3 - 2*m + 27 + 25 to d*m**2 + w*m**4 + o*m**3 + c + g*m and give w. -1 Rearrange 6243*w + 417 - 218 - 199 to the form f*w + z and give f. 6243 Rearrange -r**2 + r - r + (3 - 2*r - 3)*(4*r + 41*r - 4*r) - 2 + 2*r**2 + 2 + (4*r - r - 2*r)*(-57*r - 4*r - 13*r) to the form t*r**2 + q + u*r and give t. -155 Express -9 + 2*w + 9 + 2*w - w + 0*w + (w - 8 + 8)*(4 - 2 - 4) + 3858 - 3858 + 129*w as u*w + h and give u. 130 Express 190*t - t**2 - 876 + 348 + 527 as x*t**2 + u*t + w and give x. -1 Rearrange -4*b**3 + 5*b**3 - 9584*b + 21*b**2 + 1 + 9583*b + 0 to the form s*b + p*b**2 + m + q*b**3 and give m. 1 Express (149 - 73 + 25)*(34*b**3 + 8*b**4 - 17*b**3 - 4*b**4 + (5 - 6 + 0)*(-2*b + 2*b + 2*b**4)) in the form y*b + f*b**3 + u*b**2 + o + k*b**4 and give f. 1717 Express (5*i**2 - 5*i**2 - i**3)*(46 + 31*i + 167 - 241) as x*i**2 + q*i + f*i**3 + u*i**4 + a and give q. 0 Express 8*n**3 + 130*n**3 + 64*n**3 + (6*n**2 + 4*n**2 + 4*n**2)*(n + 3*n - n) as x*n**3 + p*n + h*n**2 + q and give x. 244 Express -n**3 + 31*n**2 - 12 + 5*n**2 - 3*n**2 + 15 in the form y*n**3 + r + j*n + s*n**2 and give r. 3 Rearrange -431*c - 5*c - 133*c - 1 + 111*c - 121*c to y + m*c and give y. -1 Express (25162*w - 12577*w - 240 - 12583*w)*(3*w - w - 4*w) + 2*w**2 - 2*w**2 + w**2 as m + t*w**2 + x*w and give t. -3 Rearrange -r**2 + 6*r + r + 14*r**3 + 2 + 16*r**3 + 12*r**3 - 44*r**3 to s + p*r**3 + x*r + n*r**2 and give n. -1 Rearrange -69 + 203 - 6*c - 69 - 61 to the form a*c + r and give r. 4 Express 4*k - 2607*k**2 - 1574*k**2 - 4*k - 2382*k**2 as p*k**2 + o*k + x and give p. -6563 Rearrange (-26 + 18 + 17)*(-4*v**3 + 3*v**3 + 3*v**3 + (-2*v - 2*v + 5*v)*(-4*v**2 + 2*v**2 + 3*v**2)*(4 - 54 + 11)) to u*v**3 + b*v + x + z*v**2 and give b. 0 Express (-g - 3*g + 2*g + (1 - 5 + 2)*(4*g - 3*g - 2*g) - g + 0 + 0)*(-3319*g + 4 - 3 + 3153*g) in the form c*g + u + z*g**2 and give z. 166 Express -293 - 15*g + 147 - 3*g**2 + 145 in the form u*g + a*g**2 + k and give k. -1 Rearrange 3*r + 3*r**3 - 3*r + (-5*r**2 + r**2 + 3*r**2)*(-9968*r - 2473*r - 3364*r) to the form m + v*r + c*r**3 + y*r**2 and give c. 15808 Express (b - 2636 - 1999 + 1307)*(-3 + 2 + 3) in the form t + j*b and give t. -6656 Express -25*o**2 + 2 - 82*o**2 + 3*o - 31*o**2 + 0 + 14*o in the form z*o**2 + n*o + m and give z. -138 Express 4 + 4 - 2 + 32*k**2 - 14 + 3 in the form d*k + m + y*k**2 and give m. -5 Express -2309 - 5459*t + 1161 + 1148 in the form r*t + k and give r. -5459 Express -8875*l + 4*l**2 - 6*l**3 + 17760*l - 8877*l in the form u*l**3 + j + d*l + t*l**2 and give j. 0 Express -39*v**2 - 2*v - 4438639 + 4438655 + 2*v as t*v**2 + d*v + i and give t. -39 Rearrange 15 + 32*j**2 - 2*j + 29*j**2 + 10*j - 97*j**2 + 38*j**2 to y*j + r*j**2 + s and give y. 8 Rearrange (286*h**2 - 24175 + 24175)*(-20 + 9 - 16) to m + g*h**2 + o*h and give g. -7722 Rearrange (8 - 3 + 0)*(-58 - 45 + 212)*((-3 - 5*j + 3)*(-5 + 1 + 0) - 2*j + 1 - 1) to q + t*j and give t. 9810 Express w**4 + 5*w**3 - 5*w**3 + (-4*w**3 - 3*w**3 + 5*w**3)*(2*w + 20 - 18 - 3*w) as x*w**4 + g*w**2 + f*w + n*w**3 + y and give f. 0 Express -7931872*q - q**4 + 7*q**3 + 7931874*q + 34*q**3 + 2 in the form d*q**2 + o*q**3 + x*q**4 + b + a*q and give x. -1 Express -1678*q**2 + 2*q + 371*q**2 - 2*q - 1503*q**2 as w*q + p*q**2 + a and give p. -2810 Rearrange (12 + 7 - 8)*(321 - 7*j**2 - 321 + 19*j**4) + j**4 - 3*j**4 + 0*j**4 to the form y*j**4 + q + l*j**2 + t*j**3 + g*j and give g. 0 Rearrange v**2 + 0*v**2 + 0*v**2 + (-32 + 32 - 50*v**2)*(2 - 3 + 9)*(6 - 3 - 1)*(2 + 1 - 4) to the form i*v + x*v**2 + s and give x. 801 Rearrange -9213576*s**3 - 16 - 48 + 9213478*s**3 to the form g*s**3 + d + b*s**2 + j*s and give g. -98 Rearrange -598*j + 4*j**3 + 143001*j**2 - 71501*j**2 - 71502*j**2 - j**4 to z*j + u*j**2 + q*j**4 + t + x*j**3 and give z. -598 Rearrange (u**2 - 2*u + 2*u)*(1589 + 7*u**2 - 3011 + 1428 - 16*u) to the form y*u**2 + n*u**4 + t*u**3 + s*u + k and give y. 6 Rearrange (-3581 + 1822 - 7017*t + 1759)*(5 - 3 - 3)*(-2 + 3 + 0) to v*t + r and give v. 7017 Express (-19 + 19 + 365)*((-1 + 4 - 2)*(0*h**2 + h**2 + 0*h**2) - 2*h + 2*h + 9*h**2) as d*h + u + j*h**2 and give j. 3650 Rearrange -9*f**3 + 5*f**3 - f**3 + 2 + (-66*f**2 - 30*f**2 + 16*f**2)*(0 + 11*f + 0)*(2 + 2 - 2) to the form k + l*f**2 + r*f**3 + c*f and give k. 2 Express -x**3 - 32*x**2 + 2 - 36674*x + 36672*x + x**4 + 26*x**2 in the form h*x**2 + g*x**3 + b*x + n*x**4 + l and give b. -2 Rearrange 2719*x**2 + 2694*x**2 + 20 - 5385*x**2 to the form o*x + q + g*x**2 and give g. 28 Rearrange -49 - 13*f**2 - 59560086*f + 59560086*f to the form o + b*f**2 + m*f and give b. -13 Rearrange -34*y + 101*y - 44*y to g*y + j and give g. 23 Rearrange -25 + 10 + 1202*y**3 + 8 - 2 + 7 to the form d*y**3 + f*y**2 + z*y + j and give j. -2 Express 27*b**2 - 54 - 59 + b + 52*b**2 + 4*b**3 + 169 - 57 as c*b + g + i*b**2 + d*b**3 and give g. -1 Express (-2 - b + 2)*(-2*b**2 - b + b) + (-1 - 3 + 1)*(0 + 3 - 2)*(-47 - b**3 - 210929*b**2 + 210929*b**2) as p + d*b + k*b**2 + i*b**3 and give i. 5 Rearrange -2323*x + 60 - 143 + 83 to u*x + i and give u. -2323 Express -79*u**2 + 89063*u + u**3 - 89064*u + 15*u**2 - 2 as c*u**3 + k + d*u**2 + s*u and give k. -2 Rearrange (-135*p + p**4 + 135*p - 3*p**2)*(-1 + 3 - 1 - 2 + 79 - 8 + (0 + 1 + 1)*(3
{ "pile_set_name": "DM Mathematics" }
9 Let x = -76 - -70. Let o be 24/16*-6*2/x. Suppose d - 3*z = -2*d + 42, -o*d = 4*z - 63. What is the units digit of d? 7 Let p(u) be the second derivative of u**4/12 + u**3/2 - 4*u**2 - 3*u. Let g = 6 + -11. What is the units digit of p(g)? 2 Suppose 6*m = 124256 - 27980. What is the hundreds digit of m? 0 Suppose 22042 + 1757 = 3*v - 3*g, 2*v - 4*g = 15872. What is the units digit of v? 0 Let b(y) = 24*y**2 + 2*y - 27. Suppose 3*j = x - 27, 35 = -5*j + 5*x - 20. What is the thousands digit of b(j)? 1 What is the thousands digit of 3*(3 - 6 - ((-54880)/7 + -4))? 3 Suppose j + 4*w - 84400 = 0, 0 = -5*j - 19*w + 24*w + 421775. What is the units digit of j? 4 Let k(z) = 8*z**2 - 5*z - 1. Let b = 4 + 0. Let y be k(b). Suppose 5*h - 243 = y. What is the tens digit of h? 7 Let u(k) = -4*k - 39. Let c be u(-14). Suppose c*j = 2830 + 4854. Suppose -2*r = 2*r - j. What is the units digit of r? 3 Suppose -5*r - 12 = 3. Let k be (-26)/r + -1 + 13/39. What is the units digit of (50 + -1 + k)*(-1 - -2)? 7 What is the tens digit of 13321/(-519)*(-50 - 1)? 0 Let a be 14/63 + (-75)/(-27). Suppose -a*c = -c - 58. What is the tens digit of -1*c/2*-4? 5 Suppose 3 = 5*z + 3*t, -7*t + 6*t - 13 = -3*z. Suppose -3*o + y = 136, z*o + 4*y + 131 = -0*o. Let j = 36 - o. What is the tens digit of j? 8 Let x = -1868 - -3228. What is the units digit of x? 0 Let b(k) = k**3 - 22*k**2 - 80*k - 71. What is the tens digit of b(28)? 9 Let p(b) = 7*b**3 - b - 2. Let h be p(-1). Let y(o) = o**3 + 8*o**2 - 2*o - 10. Let g be y(h). What is the tens digit of (-5 + 8)*268/g? 3 Let s(o) = 3*o**3 - 4*o**3 + 15*o**2 - 6*o**2 + 8*o**3 - 5*o + 13 - 12. What is the tens digit of s(5)? 7 Let t(g) = -14*g**3 + 2*g**2 - 2. Suppose 4 = -5*p + 4. Suppose p = 6*m - 5 + 17. What is the tens digit of t(m)? 1 Let y(p) be the second derivative of -p**3/6 - 5*p**2/2 - 21*p. Let n be y(-2). What is the tens digit of n + 4 - (42 + 0)*-2? 8 Let l be (-23)/(-3)*2 - (-46)/69. What is the hundreds digit of -1220*(104/l + -7)? 6 Let o(g) = -g**3 - 5*g**2 - 5*g + 7. Suppose 0 = 3*q + 9. Let h be o(q). Suppose 4*n - 5*l - 4 = 22, -h*n = -2*l - 32. What is the units digit of n? 9 Let d = 130684 - 68942. What is the ten thousands digit of d? 6 Let w(n) = 19*n - 1. Let y be w(3). Let u be (-424)/(-30) + 498/(-3735). Let j = u + y. What is the units digit of j? 0 Suppose 0 = -0*m + 11*m - 363. Suppose -2*r + 6*r = 0, z - m = -5*r. What is the tens digit of z? 3 Suppose 42537 = 46*n - 39734 - 27025. What is the thousands digit of n? 2 Let s = 71 + -71. Suppose s = -5*x, q = -3*q + 3*x + 56. Let l(n) = -n**3 + 14*n**2 + n + 20. What is the units digit of l(q)? 4 Suppose 8*p - 12 = 4. Suppose -2*l - 3*x = -p, 4 = 5*l - 3*l + 2*x. Suppose 0 = -3*m + l*i + 443, -m + 299 = m + i. What is the hundreds digit of m? 1 Let j = 27092 - 2899. What is the thousands digit of j? 4 Let k(z) = -4*z - 38. Suppose -12*m - 94 - 14 = 0. Let b be k(m). What is the units digit of (-9)/(-3) - -64 - b? 9 Suppose -2*i - 6 = 2*j, 5*j - 3*i - 3 = -10. Let n be (1187 - 14) + -1 + j. Suppose -10*w + 460 = -n. What is the tens digit of w? 6 Suppose -20 = -5*a + a. Suppose a*x + 20 = 15*x. Suppose -b + 94 = b + x*h, -h = -4*b + 198. What is the units digit of b? 9 Suppose 0*g + 3*n = -g + 2516, 3*n + 7536 = 3*g. Let h = 3748 - g. What is the thousands digit of h? 1 Suppose -4*u + 14129 = -855. Suppose -u - 6094 = -10*j. What is the hundreds digit of j? 9 Let x be (-1089142)/69*(-6)/4. Suppose 37*h - x = -515. What is the hundreds digit of h? 6 Let b(f) = -f**3 + f**2 - 4*f - 445. Let j be b(0). Let k = -311 - j. What is the tens digit of k? 3 What is the hundreds digit of 579/(((-18)/(-25))/6)? 8 What is the units digit of ((-66)/(-24))/(-7*(-4)/6160)? 5 Suppose -4*o = 4, -3*s = -0*s - 3*o + 6. Let q(y) = -90*y + 38. What is the hundreds digit of q(s)? 3 Let y be 15 - (3/12 - (-42)/(-8)). What is the tens digit of y/8*(-2 - 0)*-85? 2 Let j(t) be the second derivative of 5*t**4/6 + 3*t**3/2 + 5*t**2/2 + 2*t - 100. What is the hundreds digit of j(-7)? 4 Suppose -20*f + 25*f = 2*i - 1146, 10*i = -f + 5626. What is the units digit of i? 3 Let g = 316 - 809. Let u = -445 - -187. Let j = u - g. What is the units digit of j? 5 Suppose -4*s = 3*u - 4849, 9*s + 2*u - 2422 = 7*s. Let v = s + -178. What is the tens digit of v? 3 Suppose -10*y + 221*y = 8111895. What is the hundreds digit of y? 4 Suppose 487*h + 4611 = 488*h - 5*t, 4*h + 4*t = 18396. What is the thousands digit of h? 4 Let o(p) = -56*p - 6. Let f be o(9). Let l = 279 + f. What is the units digit of (-4)/(-2) + (1 - (l - -6))? 8 Suppose -18*b + 178051 = 57955. What is the tens digit of b? 7 Let i(x) be the first derivative of -x**4/4 - 7*x**3/3 - 5*x**2/2 + 11*x + 3. Suppose -1 = -2*a - 17. What is the tens digit of i(a)? 1 Let g(f) = 5*f**3 + 6*f**2 - 8*f - 20. What is the tens digit of g(6)? 2 Let u = 103283 - 71426. What is the thousands digit of u? 1 Let k(y) = 172*y**2 + 1537*y - 16826. What is the ten thousands digit of k(11)? 2 Let g(u) = 27866*u + 2620. What is the hundreds digit of g(1)? 4 Let l(s) = 21*s**3 + 4*s**2 + s - 10. Let x be l(4). Let c = -609 + x. What is the hundreds digit of c? 7 Suppose 0 = -2*c + 2*m - 8 - 4, -2*c - m = 21. Let z(h) = -5*h - 33. Let d be z(c). Let i = 31 - d. What is the units digit of i? 9 Let r(d) = 232*d - 10. Let y be r(-1). Let w = y - -579. What is the hundreds digit of w? 3 Suppose 3*g - 8*g - 5*l + 260 = 0, -3*l = 4*g - 211. Suppose 420 + 1736 = 98*j. Let o = g - j. What is the tens digit of o? 3 Let b = -66 + 66. Suppose -4*m + b*m + 16 = 0. Suppose m*c = -7 + 511. What is the hundreds digit of c? 1 Suppose -24*g + 7544 = -5296. Suppose m = -2*m + 99. Suppose 2*a - 2*x + m = g, -3*a + 5*x = -743. What is the tens digit of a? 5 Let p(y) = 17*y + 13. Let a be -5 + 52/10 - 12/10. Let g be p(a). Let v(i) = 8*i**2 - i + 11. What is the tens digit of v(g)? 4 Let j = 149 + -50. Suppose 3672 = -j*a + 116*a. What is the hundreds digit of a? 2 Suppose 12*n = 8*n. Suppose -4*y + 8 = n, 3*b + 0*y - 110 = -y. Suppose -35*g = -b*g + 137. What is the units digit of g? 7 Let z(k) = 3*k**3 - 18*k**2 - 49*k + 20. What is the tens digit of z(15)? 6 Let h(p) = 15*p + 6*p**2 - 37*p + 25 + 21*p. What is the tens digit of h(-7)? 2 What is the tens digit of 5988/2 + 220/(-20)? 8 Suppose 12*b = 7*b - 2*u - 1393, 0 = 2*u + 8. Let z = b - -582. What is the tens digit of z? 0 Suppose -4*d + 18798 = d - s, -d + 3750 = 3*s. Suppose -10*i = -3*i - d. What is the tens digit of i? 3 What is the tens digit of 18/96 - 208054/(-224)? 2 Let k(j) = 3*j**2 - 2*j + 14. Let a(d) = -16*d**2 + 9*d - 69. Let h(v) = -2*a(v) - 11*k(v). Let m be h(7). Let x = m - -62. What is the tens digit of x? 2 Suppose -4 = 4*z + 5*i + 15, -z - i - 4 = 0. Let b = 394 - 736. What is the hundreds digit of (b/1)/(2*z)? 1 Let k(y) = y**2 - 12*y + 11. Let o be k(11). Suppose -4*q - 214 + 646 = o. Suppose -r + q + 3 = 0. What is the tens digit of r? 1 Let x(y) = -y + 14. Let c be x(6). Let m be (-186)/(-24) - 6/c. Suppose t = 5*i - 7, 6 = 3*t + 2*i - m. What is the units digit of t? 3 Let r = -7785 + 9810. What is the thousands digit of r? 2 Suppose 0 = -5*t + m + 217324, 5*t - 74*m + 76*m = 217342. What is the units digit of t? 6 What is the ten thousands digit of (-1541)/2*(-2204)/38? 4 Suppose -2*s = 2*q - 62, -3*s + 6*s - 6 = 0. What is the units digit of 334 + q - (0 + 7)? 6 Suppose -6405 = -q - 2*m, -90*q - 4*m = -85*q - 32055. What is the tens digit of q? 1 Suppose -12*t - 24 = -12. Let h(d) be the second derivative of -d**5/4 - d**4/12 - d**3/2 - d**2/2 - 5*d. What is the units digit of h(t)? 6 Let b(j) be the third derivative of 27*j**6/40 - j**5/30 - j**4/8 + j**3/3 - 26*j**2. Let p be b(2). Suppose -5*u + p = -59. What is the units digit of u? 9 Let d be 15/20 + (-5371)/4. Let a = d - -2184. What is the units digit of a? 2 Let h be (1 - 5/5)/(-1) + 25527. What is the hundreds digit of 35/42 - h/(-18)? 4 Let o(z) = -z**3 - 8*z**2 - 3*z + 8. Let k be o(-11). Let i = -226 + k. Suppose 350 + i = 4*q. What is the units digit of q? 2 Suppose -20*p + 7011 + 2409 = 0. Let d = p - 188. What is the units digit of d? 3 Let a(x) = -x**3 + 7*x**2 + 11*x + 74. What is the units digit of a(-6)? 6 Let a(
{ "pile_set_name": "DM Mathematics" }
84*z/3. -4*z*(z - 30821)/3 Factor -p**3 - 87*p**2 + 4428*p - 19840. -(p - 32)*(p - 5)*(p + 124) Determine r so that -9*r**3/4 - 687*r**2/4 + 17430*r + 5829 = 0. -134, -1/3, 58 Factor 3*g**5 - 174*g**4 - 6990*g**3 - 19896*g**2 - 19533*g - 6450. 3*(g - 86)*(g + 1)**3*(g + 25) Factor -37*z**3/9 - 1007*z**2/9 + 820*z/9 + 224/9. -(z - 1)*(z + 28)*(37*z + 8)/9 Factor p**3/7 + 68*p**2/7 + 836*p/7 - 11552/7. (p - 8)*(p + 38)**2/7 Determine l, given that -3*l**4/4 - 198*l**3 - 1455*l**2/4 + 15219*l/2 - 14148 = 0. -262, -8, 3 Suppose -64*l**4 - 48052*l**3 - 9038988*l**2 - 7303500*l + 1687500 = 0. Calculate l. -375, -1, 3/16 Let 5*d**5/6 + 275*d**4/6 + 755*d**3/3 + 965*d**2/3 - 505*d/2 - 735/2 = 0. Calculate d. -49, -3, -1, 1 Suppose -2*y**2/3 - 66692*y/3 + 66694/3 = 0. What is y? -33347, 1 Factor p**4/4 + 1473*p**3/2 - p**2/4 - 1473*p/2. p*(p - 1)*(p + 1)*(p + 2946)/4 Find k, given that -k**2/5 - 105066*k - 13798580445 = 0. -262665 Suppose -3*y**5/4 + 357*y**4/4 + 1095*y**3/4 + 375*y**2/4 - 273*y - 183 = 0. Calculate y. -2, -1, 1, 122 What is a in 2*a**3/9 + 98*a**2/9 - 202*a/9 + 34/3 = 0? -51, 1 Solve 9*y**4 + 2428*y**3 + 6669*y**2 - 1602*y = 0. -267, -3, 0, 2/9 Let -2*f**2 - 1238*f - 14568 = 0. What is f? -607, -12 Suppose i**2/4 - 1281*i/2 + 7677/4 = 0. What is i? 3, 2559 Suppose 10*t**2 - 2881325*t + 1440660 = 0. Calculate t. 1/2, 288132 Factor x**4/8 + 45*x**3/8 + 157*x**2/4 - 45*x. x*(x - 1)*(x + 10)*(x + 36)/8 Solve -3*o**5 - 318*o**4 - 7011*o**3 + 77976*o**2 = 0 for o. -57, 0, 8 Let 2*n**2 + 535912*n + 35900208968 = 0. Calculate n. -133978 Factor -990*x**3 - 2286896*x**2/7 - 188667930*x/7 + 108900/7. -2*(x + 165)**2*(3465*x - 2)/7 Find o, given that -2*o**2/11 - 694*o = 0. -3817, 0 Determine i so that -8852*i**5 + 24*i**4 + 24343*i**3 + 19851*i**2 + 4372*i - 12 = 0. -1, -1/2, 6/2213, 2 Determine k, given that 2*k**3/11 - 5178*k**2/11 + 2056878*k/11 + 1815217290/11 = 0. -405, 1497 What is l in -14*l**5/5 - 83*l**4/5 + 2256*l**3/5 - 12042*l**2/5 + 25974*l/5 - 20331/5 = 0? -251/14, 3 Find b such that b**2 - 6130*b + 6129 = 0. 1, 6129 Suppose 3*v**4 + 42360*v**3 + 592449*v**2 - 42360*v - 592452 = 0. What is v? -14106, -14, -1, 1 Determine v so that -2*v**5/11 - 338*v**4/11 - 1908*v**3 - 562288*v**2/11 - 479168*v + 532224 = 0. -54, -44, -28, 1 Suppose 3*h**4 + 4833*h**3/4 + 1755*h**2/2 - 10893*h - 15678 = 0. What is h? -402, -2, 13/4 Factor -4*x**2 + 2047616*x - 262045705216. -4*(x - 255952)**2 Factor 3*n**3/4 + 10241*n**2/4 - 3416*n - 3415. (n - 2)*(n + 3415)*(3*n + 2)/4 Solve -3*d**3 - 64*d**2 + 1035*d + 352 = 0 for d. -32, -1/3, 11 Factor p**4/2 + 397*p**3/2 - 800*p**2 + 802*p. p*(p - 2)**2*(p + 401)/2 Suppose -25*f**4 - 30885*f**3 - 166250*f**2 - 246060*f - 73800 = 0. Calculate f. -1230, -3, -2, -2/5 Factor 4*h**2 + 28028*h - 646760. 4*(h - 23)*(h + 7030) Find f, given that -2*f**3 - 482*f**2/3 - 5386*f/3 - 1742/3 = 0. -67, -13, -1/3 Find u, given that -2*u**5 - 1730*u**4 - 371502*u**3 + 1131866*u**2 + 371504*u - 1130136 = 0. -434, -1, 1, 3 Suppose -a**3/5 - 96*a**2/5 - 1344*a/5 + 50176/5 = 0. What is a? -56, 16 Suppose -3*g**5/2 + g**4/2 + 209*g**3 - 1152*g**2 + 1840*g - 896 = 0. Calculate g. -14, 1, 4/3, 4, 8 Determine d, given that -d**3/4 - 23*d**2/4 + 3457*d/4 + 3479/4 = 0. -71, -1, 49 Suppose -4*d**3 + 368*d**2 - 2608*d - 6720 = 0. Calculate d. -2, 10, 84 Find s, given that 5*s**2 - 14455*s = 0. 0, 2891 What is c in c**4/5 - 12340*c**3 + 1269127824*c**2/5 - 8706214240448*c/5 + 69568521329152/5 = 0? 8, 20564 Factor 4*x**2 + 23956*x + 47896. 4*(x + 2)*(x + 5987) Factor -j**3/5 - 194*j**2/5 + 1860*j + 477000. -(j - 106)*(j + 150)**2/5 Factor -h**4 + 5522*h**3 - 22072*h**2. -h**2*(h - 5518)*(h - 4) Factor -5*d**2 + 6713300*d - 2253419844500. -5*(d - 671330)**2 Suppose 5*p**4 + 215*p**3 + 705*p**2 - 37015*p - 37510 = 0. What is p? -31, -22, -1, 11 Factor -x**3/6 + 113*x**2/6 - 269*x/2 - 1155/2. -(x - 105)*(x - 11)*(x + 3)/6 Factor 2*x**4/9 + 56*x**3/9 - 154*x**2/3 - 204*x. 2*x*(x - 9)*(x + 3)*(x + 34)/9 Solve -2*y**5 + 84720*y**4 - 897692878*y**3 + 10759017576*y**2 + 11656795176*y = 0. -1, 0, 13, 21174 Find w, given that -w**3 - 3*w**2 + 268*w + 1980 = 0. -11, -10, 18 Factor -4*a**4 - 1336*a**3 + 51788*a**2 + 27278448*a - 1667578896. -4*(a - 82)**2*(a + 249)**2 Factor o**4/10 + 229*o**3/10 - 264*o**2. o**2*(o - 11)*(o + 240)/10 Determine c, given that 2*c**4/9 + 2560*c**3/9 - 854*c**2/3 = 0. -1281, 0, 1 Factor -12*t**2 - 2032*t - 2688. -4*(t + 168)*(3*t + 4) Factor 3*z**2/2 - 135*z/2 - 2079. 3*(z - 66)*(z + 21)/2 Let -4*r**2 + 18056*r + 36128 = 0. Calculate r. -2, 4516 Solve -4*x**5 + 980*x**4 - 6508*x**3 - 36916*x**2 - 50368*x - 20944 = 0. -2, -1, 11, 238 Factor -1242*y**2 + 15744*y - 9944. -2*(3*y - 2)*(207*y - 2486) Factor x**2/3 - 128497*x/3. x*(x - 128497)/3 What is s in -2*s**4/11 + 4412*s**3/11 + 17736*s**2/11 - 123824*s/11 + 141440/11 = 0? -8, 2, 2210 Factor -2*k**2 + 2558*k - 5108. -2*(k - 1277)*(k - 2) Determine d so that 5*d**2/2 + 165*d + 1620 = 0. -54, -12 What is o in 2*o**2/7 + 3436*o/7 - 17230/7 = 0? -1723, 5 Solve -64*y**4/3 - 55840*y**3/3 - 27908*y**2/3 - 3488*y/3 = 0 for y. -872, -1/4, 0 Factor -2*u**3/9 - 6460*u**2/9 + 142846*u/9 - 262328/3. -2*(u - 11)**2*(u + 3252)/9 Factor 8*f**2 + 19692*f. 4*f*(2*f + 4923) Find m, given that 2*m**5/3 - 94*m**4/3 + 14*m**3/3 + 25838*m**2/3 + 138368*m/3 + 112640/3 = 0. -11, -5, -1, 32 Suppose -5*p**2 - 117695*p + 235410 = 0. Calculate p. -23541, 2 Suppose 5*u**3 + 78120*u**2 + 702715*u + 624600 = 0. What is u? -15615, -8, -1 Suppose 32403*k**5/4 - 32401*k**4/4 - k**3/2 = 0. Calculate k. -2/32403, 0, 1 Determine b so that 7*b**4/2 + 457*b**3/2 + 6255*b**2/2 - 41125*b/2 - 6125 = 0. -35, -2/7, 5 Determine o, given that -7*o**5/3 - 31*o**4 + 709*o**3/3 - 959*o**2/3 + 66*o + 152/3 = 0. -19, -2/7, 1, 4 Factor 3*s**3/5 + 45342*s**2/5 + 171324747*s/5. 3*s*(s + 7557)**2/5 Determine a, given that 4*a**4 - 792*a**3 + 3808*a**2 + 10008*a + 5404 = 0. -1, 7, 193 Suppose -2*x**3 - 452*x**2 + 1370*x - 916 = 0. What is x? -229, 1, 2 Solve 3*k**4 + 1704*k**3 - 3*k**2 - 1704*k = 0. -568, -1, 0, 1 Solve -2*w**4/9 + 11126*w**3/9 - 15434494*w**2/9 - 108453470*w/9 - 62049800/3 = 0. -4, -3, 2785 Factor -i**5 + 577*i**4 + 2901*i**3 + 5231*i**2 + 4072*i + 1164. -(i - 582)*(i + 1)**3*(i + 2) What is a in 31467*a**2 + 125869*a/2 + 1 = 0? -2, -1/62934 Solve -2*r**2/7 + 7608*r/7 - 218950/7 = 0 for r. 29, 3775 Solve 2*l**5/5 - 14*l**4 - 756*l**3/5 - 1584*l**2/5 = 0. -6, -3, 0, 44 Determine r so that 6*r**4/7 - 663*r**3/7 - 5289*r**2/7 - 354*r = 0. -7, -1/2, 0, 118 Factor -16*m**2 - 4244788*m + 3183600. -4*(m + 265300)*(4*m - 3) Factor -6*m**2/5 + 2368692*m/5 - 233779241286/5. -6*(m - 197391)**2/5 Factor l**3/5 + 11*l**2 - 4172*l/5 + 4116/5. (l - 42)*(l - 1)*(l + 98)/5 Factor -10*z**3 - 98*z**2 - 152*z - 64. -2*(z + 1)*(z + 8)*(5*z + 4) Find g, given that -5*g**3 - 135285*g**2 - 915033915*g + 915169205 = 0. -13529, 1 Factor 4*r**3 + 136*r**2 + 108*r - 792. 4*(r - 2)*(r + 3)*(r + 33) Solve 3255*x**4 + 49916*x**3 - 35713*x**2 - 17426*x - 32 = 0 for x. -16, -1/3, -2/1085, 1 Solve 5*h**3 + 80*h**2 + 395*h + 600 = 0. -8, -5, -3 Factor 4*c**2 + 24184*c - 48384. 4*(c - 2)*(c + 6048) What is n in -64*n**5/5 + 318*n**4/5 - 62*n**3 - 66*n**2 + 374*n/5 + 12/5 = 0? -1, -1/32, 1, 2, 3 Factor 3*k**2 + 520*k - 2492. (k + 178)*(3*k - 14) Let -m**5/3 - 419*m**4/3 - 45296*m**3/3 - 286984*m**2/3 + 364208*m + 2546160 = 0. Calculate m. -206, -6, 5 Let -196*o**4 - 11648*o**3 - 4860*o**2 + 5648*o - 944 = 0. Calculate o. -59, -1, 2/7 Suppose -p**4 - 90*p**3 - 337*p**2 + 612*p + 860 = 0. Calculate p. -86, -5, -1, 2 Solve -2*i**5 - 154*i**4 - 2526*i**3 + 18026*i**2 + 19024*i - 161376 = 0. -41, -3, 4 Suppose -10*w**4 + 335*w**3 + 9720*w**2 - 5105*w - 4940 = 0. Calculate w. -19, -1/2, 1, 52 Factor 5*v**2 - 8001990*v + 3201592198005. 5*(v - 800199)**2 Determine r, given that -4*r**4/7 + 52*r**3/7 + 544*r**2/7 + 368*r/7 - 960/7 = 0. -6, -2, 1, 20 Factor 15842*g**3 - 5242990*g**2 - 235664*g - 2648. 2*(g - 331)*(89*g + 2)**2 Suppose -p**2/6 + 91*p/6 + 817 = 0. What is p? -38, 129 What is d in 8*d**5 - 140*d**4 - 592*d**3 + 24*d**2 + 1224*d + 756 = 0? -3, -1, 3/2, 21 Find p, given that -2*p**5/3 - 26*p**4/3 + 4*p**3 + 524*p**2/3 - 970*p/3 + 154 = 0.
{ "pile_set_name": "DM Mathematics" }
(-6). -35 Let z(y) = y**3 + 43*y**2 - 405*y - 17421. Give z(-43). -6 Let i(x) = -x**3 + 23*x**2 - 53*x - 141. Give i(20). -1 Let i(p) = -p**3 - 18*p**2 - 4*p + 146. Determine i(-18). 218 Let w(h) = -h**2 + 8*h - 13. Determine w(11). -46 Let y(b) = 2*b**2 + 24*b + 174. Give y(-9). 120 Let k(h) = -18*h**2 - 860*h + 155. Calculate k(-48). -37 Let v(d) = 269*d - 12. Determine v(-1). -281 Let h(v) = -2*v**2 - 187*v - 1853. What is h(-11)? -38 Let g(i) = -i**3 - 37*i**2 - 94*i + 254. Determine g(-34). -18 Let j(h) = h**3 + 28*h**2 - 206*h - 13. Determine j(-34). 55 Let w(c) = 5*c**2 - 377*c + 1222. Determine w(72). -2 Let z(u) = -u**3 + 2*u**2 - 11*u + 9. Determine z(4). -67 Let t(i) = 2*i**3 + 115*i**2 + 169*i + 49. What is t(-56)? -7 Let r(d) = 3*d**2 - 87*d - 40. Calculate r(30). 50 Let q(t) = -4*t**3 - 5*t**2 + 673*t - 669. What is q(1)? -5 Let m(z) = z**3 - 57*z**2 - 115*z + 123. Determine m(59). 300 Let x(h) = -15*h**2 - 26*h - 10. Determine x(-2). -18 Let p(r) = 282*r + 289. Give p(-1). 7 Let o(p) = -p**3 - 3*p**2 + 16*p - 184. Determine o(0). -184 Let i(u) = -u**2 + 45*u + 738. Give i(-14). -88 Let j(w) = 2*w**2 + 6*w - 11. What is j(4)? 45 Let f(p) = p**2 - 19*p + 154. What is f(0)? 154 Let g(t) = 2*t**3 + t**2 + 8*t + 65. Determine g(-4). -79 Let v(y) = 2*y**3 + 13*y**2 - 1647*y - 11484. Determine v(-7). -4 Let w(n) = -3*n**2 + 181*n + 913. What is w(65)? 3 Let o(r) = -2*r + 14. Calculate o(16). -18 Let m(u) = -u**3 - 33*u**2 + 56. What is m(-33)? 56 Let z(s) = s**3 - 31*s**2 + 5*s - 149. Calculate z(31). 6 Let q(g) = 6*g**2 + 6. Calculate q(-3). 60 Let s(l) = 2*l**2 + 90*l + 407. What is s(-5)? 7 Let l(x) = -2*x**2 - 28*x - 12. Give l(-13). 14 Let c(q) = 333*q**2 + 1254*q - 307. Determine c(-4). 5 Let u(a) = -10*a**2 - 17*a - 21. Calculate u(-2). -27 Let j(v) = -2*v**2 + 55*v + 20. Calculate j(31). -197 Let k(x) = -4*x**2 + 5*x + 1037. Calculate k(0). 1037 Let c(q) = 24*q - 1633. Calculate c(50). -433 Let m(h) = 303*h + 41514. Give m(-137). 3 Let v(j) = -27*j - 581. Give v(-26). 121 Let v(r) = -r**2 - 18*r + 19. Determine v(-5). 84 Let w(z) = -410*z - 2049. Give w(-5). 1 Let k(i) = -i**2 - 437*i - 13696. Give k(-403). 6 Let y(p) = -2*p**3 - 25*p**2 + 2*p + 15. What is y(-12)? -153 Let t(r) = -77*r + 1864. Give t(23). 93 Let d(h) = -5*h**2 + 215*h - 210. Give d(42). 0 Let k(x) = x**3 - 34*x**2 + 71*x + 682. Give k(31). 0 Let n(y) = -2*y**3 + 79*y**2 + 38*y + 78. Calculate n(40). -2 Let l(i) = 30*i - 363. Calculate l(16). 117 Let r(k) = k**2 - 49*k + 332. Determine r(40). -28 Let j(n) = -3*n**3 - 3*n**2 + 35*n - 52. Determine j(3). -55 Let n(a) = 4*a**2 - 636*a - 637. Determine n(160). 3 Let k(m) = -6*m**3 + 8*m**2 - 8. Calculate k(2). -24 Let t(o) = -o**3 + 38*o**2 + 188*o - 2664. What is t(41)? 1 Let k(d) = -7*d**3 - 9*d**2 - 15*d - 12. Give k(-4). 352 Let j(l) = l**3 - 53*l**2 - 707*l + 182. Determine j(64). -10 Let y(i) = -i**3 - 9*i**2 - 8*i - 60. Give y(-8). -60 Let q(d) = d**2 - 22*d - 325. Determine q(-10). -5 Let r(w) = 10*w**2 - 14*w + 9. Calculate r(3). 57 Let i(j) = -320*j**2 + 3*j. Determine i(1). -317 Let h(l) = l**2 - 7*l + 16. Calculate h(-12). 244 Let m(h) = 2*h + 36. Calculate m(-37). -38 Let b(r) = -420*r - 420. Calculate b(-1). 0 Let g(z) = 2*z**2 + 83*z - 134. Calculate g(-43). -5 Let s(j) = j**3 - 29*j**2 - 73*j + 4. What is s(0)? 4 Let v(w) = w**3 - 33*w**2 + 58*w + 121. Calculate v(31). -3 Let i(j) = -9*j**2 - 315*j + 681. Give i(-37). 15 Let i(v) = -2*v**3 - 152*v**2 - 2*v - 140. Calculate i(-76). 12 Let n(h) = -h**2 - 54*h + 233. Determine n(5). -62 Let g(o) = 3*o**3 - 12*o**2 - 57*o + 5. Give g(0). 5 Let i(s) = -481*s - 3910. Calculate i(-8). -62 Let n(r) = 4478*r - 4440. What is n(1)? 38 Let q(u) = u**2 + 56*u - 70. Give q(-54). -178 Let l(m) = 5*m**2 + 7*m + 7. Calculate l(2). 41 Let g(u) = 5*u**3 + 31*u**2 - 24*u - 28. Determine g(-7). -56 Let q(p) = -5*p**2 - 9*p - 15. Give q(-5). -95 Let u(l) = 233*l + 3624. What is u(-17)? -337 Let w(j) = j**2 + 84*j - 1378. Determine w(14). -6 Let z(a) = -232*a - 934. Give z(-4). -6 Let z(o) = -5*o**2 - 127*o + 871. Calculate z(-31). 3 Let r(b) = b**3 + 74*b**2 - 562*b + 400. What is r(-81)? -5 Let t(p) = 50*p - 97. What is t(-7)? -447 Let m(z) = 10*z**3 - 22*z**2 - 6*z + 15. What is m(2)? -5 Let d(n) = -4*n**2 - 36*n + 52. Calculate d(-10). 12 Let q(c) = 3697*c + 14795. Determine q(-4). 7 Let x(r) = -r**3 + 15*r**2 - 25*r + 99. What is x(9)? 360 Let c(b) = 10*b**2 + 23*b + 49. Determine c(0). 49 Let v(x) = -x**2 - 102*x + 3470. Determine v(-129). -13 Let k(o) = o**3 + 3*o - 3. Determine k(-2). -17 Let i(x) = -97*x - 7280. Give i(-75). -5 Let h(v) = -3546*v + 17655. What is h(5)? -75 Let z(u) = -u**2 + 344*u + 394. Determine z(0). 394 Let o(k) = -10*k**3 + 6*k**2 - 7*k - 1. Determine o(2). -71 Let y(o) = 6*o - 101. Give y(-29). -275 Let d(g) = g**3 - g**2 - 14*g - 28. Give d(-2). -12 Let m(d) = -23*d - 35. Determine m(17). -426 Let u(q) = 1636*q**2 - 1658*q. Determine u(1). -22 Let r(s) = s**3 - 25*s**2 + 110*s - 14. Give r(21). 532 Let f(o) = -3*o**3 + 20*o**2 + 22*o - 182. What is f(6)? 22 Let h(x) = 2*x**2 + 101*x + 60. Give h(-50). 10 Let h(o) = 28*o - 1823. Determine h(65). -3 Let h(u) = 541*u + 2209. Determine h(-4). 45 Let h(j) = -4*j**2 - 9*j - 8. Determine h(-6). -98 Let t(q) = q**3 - 29*q**2 - 64*q + 30. Determine t(31). -32 Let k(z) = -2*z**3 - 21*z**2 + 2*z - 76. Calculate k(-11). 23 Let w(j) = -35*j + 34. Give w(0). 34 Let h(k) = k + 32. Give h(-2). 30 Let l(n) = 31*n + 90. Calculate l(-4). -34 Let x(o) = -170*o + 679. Give x(4). -1 Let o(s) = 2702*s + 7983. Calculate o(-3). -123 Let i(f) = 4*f**2 - 30*f - 105. Calculate i(10). -5 Let l(q) = 54*q**2 + 3*q + 2. Calculate l(2). 224 Let q(x) = -150*x + 4075. What is q(27)? 25 Let f(a) = -25*a + 459. What is f(20)? -41 Let k(r) = r**3 + 13*r**2 - 44*r - 23. What is k(-15)? 187 Let c(g) = -458*g - 2320. Give c(-5). -30 Let m(y) = 2*y**3 - 72*y**2 - 155*y + 53. Give m(38). -61 Let i(h) = 176*h - 1077. What is i(6)? -21 Let v(s) = -14*s + 109. What is v(8)? -3 Let r(a) = -3*a**3 + 5*a**2 + 29*a - 111. What is r(6)? -405 Let f(z) = z**3 + 24*z**2 - 381*z + 120. Give f(-35). -20 Let d(z) = 95*z - 3036. What is d(32)? 4 Let s(a) = a**3 + 19*a**2 + 13*a - 95. Determine s(-18). -5 Let g(s) = -16*s**3 - 191*s**2 + 20*s + 102. Give g(-12). 6 Let l(d) = -9*d**3 + 5*d**2 - 8. Determine l(2). -60 Let p(r) = -2*r**3 + 47*r**2 + 48*r + 670. Calculate p(25). -5 Let r(b) = b**2 - 112*b - 4967. Determine r(-34). -3 Let t(m) = 12*m**2 + 2195*m - 189. Determine t(-183). -6 Let g(i) = 106*i + 49. Give g(2). 261 Let y(j) = -j**3 - 39*j**2 - 32*j + 102. Give y(-38). -126 Let f(y) = -238*y + 36417. Give f(153). 3 Let z(g) = 4*g**2 + 61*g + 7. Calculate z(-15). -8 Let f(x) = x**2 + 97*x - 1693. Determine f(22). 925 Let h(r) = 7*r**2 + 12*r - 23. What is h(8)? 521 Let g(j) = -29*j**2 + 54*j - 221. What is g(5)? -676 Let a(k) = 47*k - 3037. Give a(67). 112 Let w(c) = -1610*c - 8053. Give w(-5). -3 Let w(u) = 12*u + 19. Calculate w(-5). -41 Let o(s) = -6*s - 32. What is o(-8)? 16 Let p(m) = 5*m**2 - 103*m - 1109. Determine p(-11). 629 Let i(s) = 23227*s + 139366. Calculate i(-6). 4 Let g(f) = -21*f - 287. Calculate g(-23). 196 Let w(r) = -179*r + 4324. What is w(24)? 28 Let g(z) = -z**3 + 34*z**2 - 68*z + 11. Calculate g(32). -117 Let p(b) = b**2 + 37*b + 150. Calculate p(-34). 48 Let z(d) = 2610*d + 10400. Calculate z(-4). -40 Let i(r) = 108*r + 795. What is i(-7)? 39 Let n(f) = -f**3 - 536*f**2 - 1601*f + 2. Give n(-3). 8 Let p(w) = 8*w**3 - 647*w**2 - 85*w + 335. Calculate p(81). 11 Let h(s) = 132*s - 425. Calculate h(4). 103 Let w(u) = -16*u + 153. Give w(11). -23 Let u(h) = 3748*h + 13. Calculate u(0). 13 Let u(k) = 10*k**2 - 464*k - 277. Give u(47). 5 Let r(g) = -25*g - 512. What is r(-22)? 38 Let w(h) = 6*h**3 - 37*h**2 - 205*h + 464. Determine w(9). -4 Let o(a) = -a**3 - 13*a**2 + 107*a + 1369. Calculate o(-10). -1 Let c(n) = -n**2 - 147*n - 4206. What is c(-39)? 6 Let t(p) = -177*p**2 - 2*p + 6. What is t(0)? 6 Let l(a) = a**3 + 24*a**2 + 144*a + 11. What is l(-15)? -124 Let d(l) = -3716*l + 3693. Give d(1). -23 Let w(p) = -19*p + 369. Give w(19). 8 Let s(f) = 5*f**3 - 575*f**2 - 579*f - 113. Calculate s(116). 3 Let v(h) = -16*h
{ "pile_set_name": "DM Mathematics" }
(891) + 0 - sqrt(891) - sqrt(891)) + 4)**2 + (sqrt(88)*2*4)/(sqrt(512)*-1). -sqrt(11) + 13 Simplify sqrt(550)/(2*sqrt(11)) + (-2*sqrt(242))**2*4 + 3. 5*sqrt(2)/2 + 3875 Simplify -5 + 1*(sqrt(12) + sqrt(3) + -1 + (sqrt(3) - sqrt(33)/((sqrt(11) - -2*sqrt(11)) + sqrt(11)))). -6 + 15*sqrt(3)/4 Simplify 3*(6*(4*-1*sqrt(567) + 2))**2. -15552*sqrt(7) + 980208 Simplify (-4*(sqrt(1584) + -2 + sqrt(1584) + sqrt(1584) + 0 - (sqrt(1584) + 1)*-6)*-2)**2. 55296*sqrt(11) + 8212480 Simplify (-3 + (sqrt(468) - (sqrt(468) + -4)) - -3*sqrt(78)/sqrt(6)*-4)*-6. -6 + 72*sqrt(13) Simplify (sqrt(7) - (sqrt(7) + -1))*-5 + sqrt(63) + 5 + (sqrt(1008)*-1*-5 - sqrt(1008))**2. 3*sqrt(7) + 16128 Simplify ((sqrt(720)*2 + -1 + sqrt(720) - (sqrt(720) + sqrt(720) + -1 + 1)) + -1 + sqrt(720) + (sqrt(720) + -1)*-2)**2. 0 Simplify (-4 + ((sqrt(363)*3)/sqrt(11))/((-1*sqrt(15))/sqrt(5)))**2. 24*sqrt(11) + 115 Simplify (-5*sqrt(18)/(1*sqrt(9) + sqrt(9)) - -4*(sqrt(150)/sqrt(3))**2) + 4. -5*sqrt(2)/2 + 204 Simplify -5*(1*-5*(-2 + sqrt(252)) + -5). -25 + 150*sqrt(7) Simplify (-1 + sqrt(13) + sqrt(13) + -1 - (-1 + sqrt(39)/sqrt(3)) - (1 + 6*(sqrt(13) - sqrt(52))))**2. -28*sqrt(13) + 641 Simplify (5*sqrt(147)/sqrt(7))/(6*sqrt(15)/sqrt(5)). 5*sqrt(7)/6 Simplify ((-3 + -4 + -2 + sqrt(208))*-2)**2. -288*sqrt(13) + 1156 Simplify -4 + -3*((5 + sqrt(200))*6)**2 + -2. -24306 - 10800*sqrt(2) Simplify (2 + -2*(((sqrt(17) + 0)*-6 - sqrt(17)) + 2*sqrt(68)))**2. 24*sqrt(17) + 616 Simplify 3 + sqrt(48)/sqrt(4) + 1 + 5*(3 + (sqrt(363) + 0 - sqrt(363))). 2*sqrt(3) + 19 Simplify (-4*1*sqrt(170) + sqrt(170) - (-1*sqrt(170) + sqrt(170))*5)/(-1*sqrt(40) - (sqrt(160) - -2*sqrt(160))). 3*sqrt(17)/14 Simplify -6*((3 + -3*sqrt(448) + sqrt(448) + sqrt(448))**2 + (sqrt(175) - (-1 + sqrt(175) + -1))). -2754 + 288*sqrt(7) Simplify -6*sqrt(209)/(sqrt(33)/sqrt(3)*6 + sqrt(11))*3 + 3. -18*sqrt(19)/7 + 3 Simplify (((sqrt(704) - -4*sqrt(704)) + 2 - (3 + sqrt(704) + 2))*-4)**2. -3072*sqrt(11) + 180368 Simplify ((sqrt(6)*2*5 + -6*sqrt(30)/sqrt(5))/(sqrt(2) + sqrt(50)*6 + (sqrt(30)/sqrt(3))/sqrt(5) + sqrt(2) + sqrt(2)))**2. 12/289 Simplify (sqrt(264)/(-3*sqrt(768)))/((2*sqrt(1620))/sqrt(10)). -sqrt(11)/432 Simplify (1 + 3*sqrt(3)*-4 + (sqrt(192) + -3)*-2)**2*-3. -7203 + 1176*sqrt(3) Simplify ((sqrt(500)/(sqrt(10)*1) - (sqrt(2450) + -1 + sqrt(2450))) + -5)**2. 520*sqrt(2) + 8466 Simplify ((-2 + sqrt(1872) + 4 + -1)*-1)**2. 24*sqrt(13) + 1873 Simplify 1*(-6*(sqrt(68) - sqrt(68)*-1)/sqrt(4) + -4*(sqrt(17)*-2 + 3)). -4*sqrt(17) - 12 Simplify sqrt(242) + sqrt(242)*-2*5 + (-2 + sqrt(242))**2 + 4 + 1. -143*sqrt(2) + 251 Simplify ((3 + -1 + 1 + sqrt(147))*2)**2 + -5. 168*sqrt(3) + 619 Simplify (-2*(2*sqrt(190) - sqrt(190)))/(sqrt(250)*2 - sqrt(250)) - (sqrt(76)*-1 + 0 + sqrt(76)*1*-3)**2. -1216 - 2*sqrt(19)/5 Simplify 4*(3 + sqrt(1300)) - -5*(2 + sqrt(1300)). 22 + 90*sqrt(13) Simplify (sqrt(78) - (sqrt(78) + (sqrt(78) + 6*sqrt(78))*1))/(sqrt(6) - ((5*sqrt(54)/sqrt(9) - sqrt(6)) + sqrt(6))). 7*sqrt(13)/4 Simplify 3*((sqrt(7) - (-2*(0 + sqrt(7)))**2) + ((sqrt(7) - 6*(sqrt(7)*-2 + sqrt(7)))**2 - sqrt(7)) - (1*(sqrt(63))**2 + sqrt(28)/sqrt(4) + sqrt(7) + 5)). -6*sqrt(7) + 741 Simplify (sqrt(40)/(sqrt(484)*1))/(6*-1*sqrt(80)). -sqrt(2)/264 Simplify (sqrt(792) + sqrt(792)*-1 + sqrt(22) - (-2*sqrt(1782) - sqrt(1782)))/(2*sqrt(2)*-5 + sqrt(2) + -1*sqrt(72)). -28*sqrt(11)/15 Simplify (sqrt(300)/(sqrt(10)*-1))/(-2*(1*sqrt(6) + sqrt(6))) + -5. -5 + sqrt(5)/4 Simplify 0 + (4 + -4 + (sqrt(700) - (sqrt(700) + 3)) + sqrt(7))**2. -6*sqrt(7) + 16 Simplify (sqrt(55) + (sqrt(440) + sqrt(440)*-3)/sqrt(8))/(sqrt(77)/(-2*sqrt(7) - sqrt(7))). 3*sqrt(5) Simplify ((sqrt(99) + (sqrt(99) - (0 + sqrt(99) - sqrt(99))) - sqrt(99))*-3 + 1 - (1 + 1*sqrt(99) + sqrt(99) + 3))**2. 90*sqrt(11) + 2484 Simplify ((sqrt(57)/sqrt(3) + 1 - (3 + sqrt(19)*-2)) + sqrt(95)/sqrt(5) + -2 + 1)**2. -24*sqrt(19) + 313 Simplify -5*((sqrt(3) - sqrt(24)/(sqrt(8) + sqrt(24)/sqrt(3))) + (sqrt(3) + -1)**2 + 5) + 5. -40 + 15*sqrt(3)/2 Simplify -1*(-2*sqrt(968)*3*-3*-5)**2. -7840800 Simplify ((sqrt(245) + sqrt(245) + 3)*-5)**2 + (sqrt(405) - ((-3 + sqrt(405))**2 + sqrt(405))*4). 2289*sqrt(5) + 23069 Simplify (((sqrt(130)*-4 - sqrt(130)) + sqrt(130))*-5)/(sqrt(640)*-2). -5*sqrt(13)/4 Simplify (-5*(sqrt(500) + 3)**2 - ((sqrt(500) - (sqrt(500) - (sqrt(500) + (sqrt(500) - (2 + sqrt(500)))))) + -1)**2)*1. -3054 - 240*sqrt(5) Simplify sqrt(187)/((sqrt(66) - (sqrt(66)*-1 + sqrt(66)))/sqrt(6)) - sqrt(85)/(sqrt(5) - (1*(sqrt(5) + sqrt(80)) + sqrt(5))). 6*sqrt(17)/5 Simplify 2*((sqrt(275) + -2*sqrt(275) + 4 + (sqrt(275)*-1 + -4 - sqrt(275) - sqrt(275)))*6)**2. 316800 Simplify 1 + (sqrt(38) + (sqrt(38) - (4*sqrt(38)*-2 + sqrt(38))))/(sqrt(2) + (3*sqrt(18) - sqrt(18)) - sqrt(2))*1. 1 + 3*sqrt(19)/2 Simplify (2*3*(sqrt(7) - (sqrt(175) + 3 + sqrt(175)))*5)**2. 48600*sqrt(7) + 518400 Simplify 3*(sqrt(8) + -5*sqrt(32)/sqrt(4)) + 0. -24*sqrt(2) Simplify (3 + -2 + sqrt(243))**2 + 4 - 4*(sqrt(243) - (1*sqrt(243) + 1))**2. 18*sqrt(3) + 244 Simplify (-3 + (1*sqrt(2700))/(sqrt(27)/sqrt(3)*-3) + -4)**2. 140*sqrt(3)/3 + 247/3 Simplify -1 + ((sqrt(1584) + -1 + 2)**2 - (-1 + sqrt(1584) + sqrt(1584) + sqrt(1584) + 5)**2) + -2. -12690 - 264*sqrt(11) Simplify (6*(sqrt(20) + 5) - (-4 + sqrt(5) + -1 + -2)**2) + -2. -26 + 26*sqrt(5) Simplify 0 + ((sqrt(38) - sqrt(608)*1)/(((sqrt(88) - sqrt(22)) + sqrt(22))/sqrt(11)) + 5)*-2. -10 + 3*sqrt(19) Simplify (4*(sqrt(343)*-3 + -5 - sqrt(343)) + 0)**2. 4480*sqrt(7) + 88208 Simplify -5 + ((sqrt(19) - sqrt(76)*-3) + sqrt(76) + 0)**2 + 2. 1536 Simplify (0 + (-4 + sqrt(1100) + sqrt(1100)*-1 + 5 + sqrt(1100))**2 + -3)*3. 60*sqrt(11) + 3294 Simplify (sqrt(152) + ((sqrt(152) - sqrt(152)*2 - sqrt(152) - sqrt(152))*-4 - sqrt(152)) - (sqrt(152) - -6*sqrt(152)*1))/(sqrt(48)/(-4*sqrt(24)/sqrt(4))). -20*sqrt(19) Simplify -2*(-3 + sqrt(288) + 0). -24*sqrt(2) + 6 Simplify ((1*(sqrt(119) - (sqrt(119) + sqrt(119)*-5)) - sqrt(119)) + sqrt(119))/(sqrt(28)/sqrt(4)*-6). -5*sqrt(17)/6 Simplify 2 + (-3 + sqrt(343) + -1 + -2 + -4 + 0 + sqrt(7) + sqrt(7) + sqrt(7) + sqrt(7))**2 + -1. -220*sqrt(7) + 948 Simplify ((1 + sqrt(612))*3)**2 - ((sqrt(272) + 3)**2 + -5). 84*sqrt(17) + 5241 Simplify (-4*(sqrt(16) + sqrt(16) + sqrt(128)/(sqrt(56)/sqrt(7))))/((sqrt(8)*2 + sqrt(8) - sqrt(8))*5 - sqrt(48)/(sqrt(6)*-1)). -12*sqrt(2)/11 Simplify 5*((sqrt(50) - 1*sqrt(50) - (sqrt(2) + sqrt(14)/(sqrt(7) + sqrt(63)))) + sqrt(242)*-1*-4)**2. 146205/8 Simplify ((-4 + -5*sqrt(8) - (-4 + (sqrt(2) - 2*sqrt(2)) + -5))*5)**2. -2250*sqrt(2) + 4675 Simplify (-4 + (-2 + sqrt(13))*2)**2 - (1 + (sqrt(13) - sqrt(78)/(sqrt(30)/sqrt(5)))**2). -32*sqrt(13) + 115 Simplify ((sqrt(78) - (sqrt(78)*4 - sqrt(78)))*2)/(4*sqrt(12)/sqrt(2)). -sqrt(13) Simplify 1*((sqrt(20)/sqrt(4))**2 + -5) + ((-1*sqrt(405) - sqrt(405))*1)**2. 1620 Simplify 1 + ((4*sqrt(1088))**2 + -5 + sqrt(17) + 2)*-1. -17404 - sqrt(17) Simplify 3*(sqrt(208)*4)**2 - -1*-2*sqrt(637). -14*sqrt(13) + 9984 Simplify (4*sqrt(14)*-6)/sqrt(2) + ((sqrt(560) + 4*sqrt(560))/sqrt(5))**2. -24*sqrt(7) + 2800 Simplify 2*(2*sqrt(297)*3)/(-4*sqrt(176)*-1). 9*sqrt(3)/4 Simplify 5 + 1 + sqrt(208) + 2 + -3*(1 + sqrt(208))**2 + -2. -621 - 20*sqrt(13) Simplify (sqrt(2000) + sqrt(2000)*1)/((sqrt(90)*5)/sqrt(9)). 4*sqrt(2) Simplify -2*((sqrt(2) - 2*sqrt(2))*-2 + -1*sqrt(288) + 5)**2. -450 + 200*sqrt(2) Simplify (sqrt(24)/(sqrt(36)/sqrt(3)) + 0 - (((5 + (sqrt(6)/sqrt(3) - sqrt(2))**2 - sqrt(2)) + sqrt(2) - sqrt(2)) + -3)) + 4 + -3. -1 + 2*sqrt(2) Simplify (3 + sqrt(2448))**2 + 4 + -3 + 3. 72*sqrt(17) + 2461 Simplify 4*sqrt(1053)*-4 - ((sqrt(1300) + -3 - sqrt(1300)) + 3)**2. -144*sqrt(13) Simplify ((sqrt(1980) - (sqrt(1980) - 1*sqrt(1980)*1 - sqrt(1980)))/(sqrt(500)*-1))**2. 396/25 Simplify -4*((1*sqrt(1400) - sqrt(1400))/(-1*sqrt(200) + sqrt(2)))**2*3. 0 Simplify (1*sqrt(68)*5)/sqrt(4) + (sqrt(1088) + 2)**2 + sqrt(153)/(sqrt(9) + (sqrt(9)*-1 - sqrt(9))). 36*sqrt(17) + 1092 Simplify ((sqrt(1029) - 2*sqrt(1029))*3)/(-5*sqrt(147)*4). 3*sqrt(7)/20 Simplify sqrt(99)*-5*-2 + sqrt(99)*-2*-2 + sqrt(99). 45*sqrt(11) Simplify (5 + (-3*(sqrt(84)*2 + sqrt(84) - sqrt(84)))/(sqrt(12) + sqrt(132)/(sqrt(55)/sqrt(5))))*-5. -25 + 15*sqrt(7) Simplify sqrt(65)/(sqrt(10)/sqrt(2)*-5) - (sqrt(130) + (sqrt(130)*-1*1 - s
{ "pile_set_name": "DM Mathematics" }
the m'th term of -7869, -6845, -5807, -4749, -3665, -2549? m**3 + m**2 + 1014*m - 8885 What is the v'th term of 1958, 3847, 5736? 1889*v + 69 What is the y'th term of -78, -87, -58, 27, 186, 437, 798, 1287? 3*y**3 + y**2 - 33*y - 49 What is the u'th term of 158, 389, 624, 863, 1106? 2*u**2 + 225*u - 69 What is the a'th term of 45, -42, -553, -1788, -4047, -7630? -50*a**3 + 88*a**2 - a + 8 What is the w'th term of 587, 575, 563? -12*w + 599 What is the c'th term of -5662, -5688, -5716, -5746, -5778, -5812? -c**2 - 23*c - 5638 What is the q'th term of 17, 29, 91, 227, 461, 817, 1319? 4*q**3 + q**2 - 19*q + 31 What is the l'th term of -37, -211, -669, -1549, -2989, -5127, -8101, -12049? -23*l**3 - 4*l**2 - l - 9 What is the n'th term of 85, 254, 535, 928, 1433, 2050, 2779? 56*n**2 + n + 28 What is the i'th term of 328, 636, 926, 1198, 1452, 1688, 1906? -9*i**2 + 335*i + 2 What is the a'th term of 1051, 3739, 8105, 14155, 21895, 31331? a**3 + 833*a**2 + 182*a + 35 What is the o'th term of -197, -730, -1621, -2870, -4477, -6442? -179*o**2 + 4*o - 22 What is the v'th term of 925, 1834, 2747, 3664, 4585, 5510, 6439? 2*v**2 + 903*v + 20 What is the x'th term of 188, 966, 2262, 4076, 6408? 259*x**2 + x - 72 What is the n'th term of -242, -501, -764, -1025, -1278, -1517, -1736? n**3 - 8*n**2 - 242*n + 7 What is the f'th term of -1407, -4705, -10197, -17877, -27739? f**3 - 1103*f**2 + 4*f - 309 What is the u'th term of -4235, -8475, -12717, -16961, -21207, -25455? -u**2 - 4237*u + 3 What is the i'th term of -7633, -15259, -22885? -7626*i - 7 What is the b'th term of -2048, -4109, -6170, -8231? -2061*b + 13 What is the h'th term of -3171, -3450, -3727, -4002, -4275? h**2 - 282*h - 2890 What is the a'th term of 200, -147, -1070, -2857, -5796, -10175, -16282? -48*a**3 - 11*a + 259 What is the m'th term of -40, 178, 770, 1922, 3820, 6650, 10598, 15850? 31*m**3 + m**2 - 2*m - 70 What is the t'th term of -82916, -82918, -82920? -2*t - 82914 What is the f'th term of -10294, -10331, -10368, -10405, -10442? -37*f - 10257 What is the f'th term of -3471, -3571, -3671, -3771? -100*f - 3371 What is the v'th term of 448800, 448813, 448834, 448863, 448900, 448945? 4*v**2 + v + 448795 What is the g'th term of 9, 191, 515, 975, 1565? -g**3 + 77*g**2 - 42*g - 25 What is the s'th term of 7341, 7402, 7463, 7524, 7585? 61*s + 7280 What is the w'th term of 462, 815, 1404, 2229? 118*w**2 - w + 345 What is the n'th term of -166435, -166438, -166443, -166450, -166459? -n**2 - 166434 What is the t'th term of 366, 714, 1036, 1332, 1602, 1846? -13*t**2 + 387*t - 8 What is the f'th term of -17312, -17278, -17198, -17048, -16804, -16442? 4*f**3 - f**2 + 9*f - 17324 What is the q'th term of -7261, -7187, -7113, -7039, -6965, -6891? 74*q - 7335 What is the o'th term of -2033459, -4066920, -6100381, -8133842, -10167303, -12200764? -2033461*o + 2 What is the i'th term of 1952, 4023, 7474, 12305? 690*i**2 + i + 1261 What is the u'th term of -2679, -2700, -2747, -2832, -2967? -2*u**3 - u**2 - 4*u - 2672 What is the m'th term of 4710, 4804, 4898, 4992, 5086, 5180? 94*m + 4616 What is the q'th term of 510, 568, 624, 678, 730, 780, 828? -q**2 + 61*q + 450 What is the i'th term of -90597, -90598, -90599, -90600, -90601, -90602? -i - 90596 What is the l'th term of -245, -325, -239, 19, 455? l**3 + 77*l**2 - 318*l - 5 What is the o'th term of 156361, 156358, 156355, 156352, 156349? -3*o + 156364 What is the q'th term of -4, 10, 30, 56, 88, 126? 3*q**2 + 5*q - 12 What is the i'th term of -15545, -15562, -15589, -15626, -15673? -5*i**2 - 2*i - 15538 What is the v'th term of 348766, 348767, 348768, 348769? v + 348765 What is the l'th term of -11894, -23789, -35680, -47567? 2*l**2 - 11901*l + 5 What is the l'th term of 246, 771, 1578, 2667, 4038? 141*l**2 + 102*l + 3 What is the t'th term of 450, 891, 1332? 441*t + 9 What is the u'th term of 1015, 1925, 2837, 3751? u**2 + 907*u + 107 What is the r'th term of 8240, 16381, 24522, 32663, 40804? 8141*r + 99 What is the h'th term of -5535, -5509, -5467, -5403, -5311, -5185? h**3 + 2*h**2 + 13*h - 5551 What is the j'th term of -13851, -27692, -41533? -13841*j - 10 What is the b'th term of -612, -1228, -1860, -2514, -3196? -b**3 - 2*b**2 - 603*b - 6 What is the w'th term of -661, -628, -601, -580, -565? -3*w**2 + 42*w - 700 What is the b'th term of -248, -360, -540, -788, -1104, -1488, -1940? -34*b**2 - 10*b - 204 What is the m'th term of 3882174, 3882176, 3882178? 2*m + 3882172 What is the v'th term of -20899, -41823, -62745, -83665, -104583? v**2 - 20927*v + 27 What is the m'th term of 1612, 1440, 1158, 766, 264, -348? -55*m**2 - 7*m + 1674 What is the j'th term of 42230, 84438, 126644, 168848? -j**2 + 42211*j + 20 What is the r'th term of 7, -138, -381, -728, -1185, -1758, -2453? -r**3 - 43*r**2 - 9*r + 60 What is the m'th term of 39, 670, 2373, 5682, 11131, 19254? 89*m**3 + 2*m**2 + 2*m - 54 What is the j'th term of 6784, 13541, 20298, 27055, 33812, 40569? 6757*j + 27 What is the d'th term of -948, -1936, -2978, -4086, -5272? -2*d**3 - 15*d**2 - 929*d - 2 What is the r'th term of -11854, -23709, -35566, -47425, -59286, -71149, -83014? -r**2 - 11852*r - 1 What is the h'th term of 1093, 2616, 5155, 8710, 13281, 18868, 25471? 508*h**2 - h + 586 What is the s'th term of 1072, 2225, 3398, 4597, 5828, 7097, 8410? s**3 + 4*s**2 + 1134*s - 67 What is the m'th term of 4188, 4192, 4208, 4242, 4300, 4388, 4512? m**3 - 3*m + 4190 What is the a'th term of -169400, -338798, -508196, -677594, -846992, -1016390? -169398*a - 2 What is the g'th term of 44, 103, 212, 371? 25*g**2 - 16*g + 35 What is the v'th term of -903, -514, 141, 1068, 2273, 3762, 5541, 7616? v**3 + 127*v**2 + v - 1032 What is the o'th term of -106, -257, -498, -871, -1418, -2181, -3202, -4523? -7*o**3 - 3*o**2 - 93*o - 3 What is the n'th term of -1984, -8051, -18162, -32317? -2022*n**2 - n + 39 What is the k'th term of 218, 410, 586, 740, 866? -k**3 - 2*k**2 + 205*k + 16 What is the k'th term of -520, -2155, -5028, -9259, -14968? -20*k**3 - 499*k**2 + 2*k - 3 What is the p'th term of 4862, 9745, 14644, 19565, 24514, 29497? p**3 + 2*p**2 + 4870*p - 11 What is the c'th term of 1439, 1225, 869, 371, -269, -1051, -1975? -71*c**2 - c + 1511 What is the o'th term of -724, -1516, -2338, -3196, -4096? -o**3 - 9*o**2 - 758*o + 44 What is the q'th term of 133, 1094, 3675, 8686, 16937? 135*q**3 + 16*q - 18 What is the k'th term of -578, -545, -500, -437, -350, -233, -80, 115? k**3 + 26*k - 605 What is the j'th term of 12903, 25754, 38541, 51258, 63899, 76458, 88929? -j**3 - 26*j**2 + 12936*j - 6 What is the m'th term of 8283141, 8283142, 8283143, 8283144? m + 8283140 What is the t'th term of 261, 264, 285, 330, 405, 516, 669, 870? t**3 + 3*t**2 - 13*t + 270 What is the g'th term of -14316, -28632, -42948, -57264, -71580? -14316*g What is the d'th term of -802, -1678, -2720, -4012, -5638, -7682? -14*d**3 + d**2 - 781*d - 8 What is the h'th term of -843470, -843474, -843478, -843482, -843486, -843490? -4*h - 843466 What is the f'th term of 87087, 87086, 87085, 87084, 87083, 87082? -f + 87088 What is the r'th term of 48305, 48308, 48311, 48314, 48317, 48320? 3*r + 48302 What is the a'th term of -16700, -16692, -16680, -16664? 2*a**2 + 2*a - 16704 What is the t'th term of -20445, -20446, -20439, -20418, -20377, -20310, -20211, -20074? t**3 - 2*t**2 - 2*t - 20442 What is the p'th term of -88640, -88643, -88646, -88649, -88652, -88655? -3*p - 88637 What is the u'th term of -114, -336, -558, -780? -222*u + 108 What is the h'th term of -834, -3370, -7628, -13632, -21406, -30974? -4*h**3 - 837*h**2 + 3*h + 4 What is the f'th term of 5161, 5145, 5105, 5035, 4929, 4781? -f**3 - 6*f**2 + 9*f + 5159 What is the c'th term of 43390, 86769, 130148, 173527? 43379*c + 11 What is the j'th term of -8359, -16592, -24695, -32668? 65*j**2 - 8428*j + 4 What is the f'th term of -530, -532, -538, -548, -562? -2*f**2 + 4*f - 532 What is the c'th term of 6813, 6841, 6867, 6891, 6913? -c**2 + 31*c + 6783 What is the l'th term of 1387, 2344, 3299, 4252, 5203, 6152, 7099? -l**2 + 960*l + 428 What is the x'th term of -5535, -22303, -50251, -89379, -139687? -5590*x**2 + 2*x + 53 What is the c'th term of 4499, 18061, 40679, 72347, 113059,
{ "pile_set_name": "DM Mathematics" }
ve -3*s**5 + 204*s**4 - 2280*s**3 - 5610*s**2 + 2283*s + 5406 = 0 for s. -2, -1, 1, 17, 53 Find t, given that t**2/3 + 36037*t/3 + 12012 = 0. -36036, -1 Solve -3*u**2 - 3063*u + 1277406 = 0 for u. -1339, 318 Factor -2*d**2/3 + 184*d/3 - 1144. -2*(d - 66)*(d - 26)/3 Determine h so that -5*h**4 - 50*h**3 - 45*h**2 + 260*h - 160 = 0. -8, -4, 1 Solve -4*c**3 + 196*c**2 + 27200*c + 541008 = 0. -34, 117 Factor -2*t**3 - 846*t**2 - 1678*t + 2526. -2*(t - 1)*(t + 3)*(t + 421) Suppose 4*t**3/5 - 3364*t**2/5 + 39936*t/5 - 119376/5 = 0. Calculate t. 6, 829 Suppose -2*h**5/5 - 14*h**4 + 468*h**3/5 - 968*h**2/5 + 656*h/5 = 0. Calculate h. -41, 0, 2 Suppose -2*t**3/11 + 854*t**2/11 + 2576*t/11 + 1720/11 = 0. Calculate t. -2, -1, 430 Factor 5*t**3 + 6450*t**2 - 39155*t - 356400. 5*(t - 11)*(t + 5)*(t + 1296) Factor -5*j**3/6 + 12640*j**2 + 75845*j/6. -5*j*(j - 15169)*(j + 1)/6 Factor -5*g**2 - 145870*g - 1063902845. -5*(g + 14587)**2 Factor -4*a**3 - 1548*a**2 + 7864*a + 9408. -4*(a - 6)*(a + 1)*(a + 392) Solve 2*c**3 + 2200*c**2 + 2194*c - 4396 = 0. -1099, -2, 1 Factor -3228966976*l**3 - 3228739680*l**2 + 227292*l - 4. -4*(l + 1)*(28412*l - 1)**2 Suppose 14*d**3/9 - 34696*d**2/9 + 7167202*d/3 - 682276 = 0. Calculate d. 2/7, 1239 Let -48*o**3 - 12908*o**2 + 14040*o = 0. Calculate o. -270, 0, 13/12 Find t such that -78*t**4 - 556*t**3 - 800*t**2 = 0. -200/39, -2, 0 Suppose 7*o**2 + 167*o + 160 = 0. Calculate o. -160/7, -1 Find q, given that q**2/4 + 22311*q/4 + 11155/2 = 0. -22310, -1 Determine u, given that 4*u**3 + 1284*u**2 - 6504*u + 5216 = 0. -326, 1, 4 Determine c, given that -2*c**4/7 + 64*c**3/7 + 2294*c**2/7 + 4388*c/7 + 2160/7 = 0. -20, -1, 54 Find t such that 5*t**2 + 22585*t + 67710 = 0. -4514, -3 Factor 5*p**2 + 775*p + 26250. 5*(p + 50)*(p + 105) Let 3*o**5 + 360*o**4 - 4608*o**3 + 18816*o**2 - 25344*o = 0. Calculate o. -132, 0, 4 Factor -4*w**4 + 2340*w**3 - 512544*w**2 + 49812224*w - 1812092928. -4*(w - 152)**3*(w - 129) Factor v**4/6 - 173*v**3/6 + 85*v**2 + 2*v/3 - 340/3. (v - 170)*(v - 2)**2*(v + 1)/6 Determine n, given that 7*n**5/5 + 58*n**4 - 10113*n**3/5 + 95512*n**2/5 - 323776*n/5 + 47616 = 0. -465/7, 1, 8 Solve 3*z**5/5 + 16*z**4 + 589*z**3/5 + 164*z**2 + 308*z/5 = 0 for z. -14, -11, -1, -2/3, 0 Find r such that -2*r**4/11 + 90*r**3/11 + 700*r**2/11 + 1440*r/11 + 832/11 = 0. -4, -2, -1, 52 Factor 2*a**3/3 - 284656*a**2 + 569310*a - 853964/3. 2*(a - 426982)*(a - 1)**2/3 Suppose -t**4/6 - 21591*t**3 + t**2/6 + 21591*t = 0. What is t? -129546, -1, 0, 1 Suppose -5*n**4/2 + 3893*n**3/2 + 9363*n**2/2 + 7027*n/2 + 781 = 0. Calculate n. -1, -2/5, 781 Solve 2*n**5/9 + 44*n**4/9 + 202*n**3/9 - 536*n**2/9 - 520*n/3 = 0 for n. -13, -10, -2, 0, 3 Let -48198*s**2 + 192796*s - 16 = 0. Calculate s. 2/24099, 4 Factor -4*z**2/3 + 73696*z - 1018331328. -4*(z - 27636)**2/3 Factor 3*t**2 + 2085*t + 281088. 3*(t + 183)*(t + 512) Suppose 19*w**5 - 111*w**4/2 - 237*w**3/2 + 143*w**2 + 12*w = 0. Calculate w. -2, -3/38, 0, 1, 4 Factor 5*o**3 + 835*o**2 - 1685*o + 845. 5*(o - 1)**2*(o + 169) Factor 2*p**2 - 9332*p - 9334. 2*(p - 4667)*(p + 1) Let -3*s**2 - 3900*s - 7788 = 0. What is s? -1298, -2 Factor -4*a**2/9 + 2528*a/3 - 399424. -4*(a - 948)**2/9 Determine o so that 3*o**5 + 10074*o**4 + 8537346*o**3 + 134719632*o**2 + 578896227*o + 753905070 = 0. -1671, -10, -3 Let -12*z**3 - 102988*z**2 - 34320*z + 68656 = 0. Calculate z. -8582, -1, 2/3 Factor s**4/4 + 223*s**3/4 - 1615*s**2/4 - 1075*s/4 + 8625/2. (s - 5)**2*(s + 3)*(s + 230)/4 Determine o so that 3*o**5 + 504*o**4 + 9465*o**3 + 29988*o**2 = 0. -147, -17, -4, 0 What is s in 3*s**2 + 90*s + 432 = 0? -24, -6 Factor f**2 - 159535*f. f*(f - 159535) Factor -243*n**4 - 72954*n**3 - 5260791*n**2 + 32245668*n - 47473452. -3*(n + 153)**2*(9*n - 26)**2 Determine q, given that -2*q**2/5 + 52412*q/5 - 343377218/5 = 0. 13103 Find j, given that -3*j**2/2 + 2367*j - 4731/2 = 0. 1, 1577 Factor h**3/9 - 13771*h**2/9 + 15290*h. h*(h - 13761)*(h - 10)/9 Find o, given that -4*o**2 + 156*o - 1520 = 0. 19, 20 Factor h**4 - 1256*h**3 - 11370*h**2 - 18968*h - 8855. (h - 1265)*(h + 1)**2*(h + 7) Factor k**2 - 5017*k + 15042. (k - 5014)*(k - 3) What is r in 3*r**3/4 + 459*r**2/4 + 17217*r/4 - 17679/4 = 0? -83, -71, 1 Determine q, given that 32*q**3/7 - 4784*q**2 + 7767778*q/7 + 533852990/7 = 0. -55, 2203/4 Find z such that -2*z**3/11 + 71196*z**2/11 - 427090*z/11 - 498288/11 = 0. -1, 7, 35592 What is m in 5*m**3 - 615*m**2 - 23870*m = 0? -31, 0, 154 Determine b so that 45*b**5 - 10020*b**4 + 598910*b**3 - 4517580*b**2 + 2813565*b - 457960 = 0. 1/3, 8, 107 Let 5*a**2 - 7325*a - 111000 = 0. What is a? -15, 1480 Factor -2*j**2 + 1663468*j - 345890723378. -2*(j - 415867)**2 Let -5*n**3 + 16900*n**2 - 252295*n - 269200 = 0. What is n? -1, 16, 3365 Factor -2*h**3 - 328*h**2 - 8490*h - 60300. -2*(h + 15)**2*(h + 134) Let -5*t**2 - 7100*t - 7095 = 0. Calculate t. -1419, -1 Suppose 2*t**2 + 1959384*t + 1959382 = 0. Calculate t. -979691, -1 Suppose -40*m**5 - 53764*m**4 + 204619*m**3/2 + 18161*m**2 - 13462*m - 2692 = 0. Calculate m. -1346, -1/4, 2/5, 2 Factor p**3/6 - 27*p**2 - 1778*p/3 - 2548. (p - 182)*(p + 6)*(p + 14)/6 Factor r**3/8 - 3491*r**2/8 - r/2 + 3491/2. (r - 3491)*(r - 2)*(r + 2)/8 Suppose 4*x**5 - 2928*x**4 + 31884*x**3 - 115552*x**2 + 138432*x = 0. Calculate x. 0, 3, 4, 721 Factor b**4/3 - 1379*b**3/3 + 158699*b**2 - 471965*b/3 - 949442/3. (b - 689)**2*(b - 2)*(b + 1)/3 Solve 5*m**4/3 + 505*m**3/3 - 345*m**2 - 505*m/3 + 1030/3 = 0 for m. -103, -1, 1, 2 Let 2*q**2 - 14036*q + 24626162 = 0. Calculate q. 3509 Factor -6*q**2/5 - 3384*q/5 - 2688. -6*(q + 4)*(q + 560)/5 Let -g**3/2 + 900*g**2 - 811797*g/2 + 808201 = 0. What is g? 2, 899 Determine q, given that -2*q**5/9 + 2338*q**4/9 = 0. 0, 1169 Determine n, given that -n**2/7 + 47164*n/7 + 47165/7 = 0. -1, 47165 Factor x**3/3 - 4247*x**2 + 13410208*x + 2251392220/3. (x - 6398)**2*(x + 55)/3 Factor j**5 - 20*j**4 + 93*j**3 - 126*j**2. j**2*(j - 14)*(j - 3)**2 Find c, given that -c**3/2 + 2827*c**2/2 + 11340*c = 0. -8, 0, 2835 Find r, given that -25*r**4/6 + 18065*r**3/6 - 46771*r**2/6 - 6959*r/2 - 360 = 0. -1/5, 3, 720 Factor -q**2 - 50926*q + 611256. -(q - 12)*(q + 50938) Suppose 4*i**2 + 109416*i + 748241316 = 0. Calculate i. -13677 Let y**4/3 - 652*y**3/3 - 653*y**2/3 = 0. Calculate y. -1, 0, 653 Factor -4*y**2/5 - 4332*y/5 + 48136/5. -4*(y - 11)*(y + 1094)/5 Factor 3*l**3 - 75915*l**2 + 480295224*l - 480219312. 3*(l - 12652)**2*(l - 1) Solve 4*z**5 - 420*z**4 - 22936*z**3 - 359632*z**2 - 1961568*z - 1624448 = 0 for z. -14, -1, 148 Let 4*m**2 - 3360*m - 3364 = 0. What is m? -1, 841 Let -4*h**2/3 + 1688*h/3 - 1120 = 0. Calculate h. 2, 420 Factor 3*x**4/2 - 177*x**3/2 + 405*x**2. 3*x**2*(x - 54)*(x - 5)/2 Solve n**3 - 623*n**2 + 2480*n - 2476 = 0. 2, 619 Find f, given that 2*f**4/3 + 50*f**3 + 1796*f**2/3 + 1816*f + 4880/3 = 0. -61, -10, -2 Suppose h**2/3 - 2569*h/3 - 7734 = 0. Calculate h. -9, 2578 Solve -21*c**5/5 - 1194*c**4/5 - 16839*c**3/5 + 486*c**2 = 0 for c. -30, -27, 0, 1/7 Solve r**4/9 + 478*r**3/9 + 58069*r**2/9 + 75524*r/3 + 24964 = 0 for r. -237, -2 Find s such that -3*s**4/5 + 474*s**3/5 + 93027*s**2/5 - 474*s/5 - 93024/5 = 0. -114, -1, 1, 272 Find q such that -2*q**4/3 - 2*q**3 + 402*q**2 + 16822*q/3 + 19604 = 0. -13, -6, 29 Factor o**4 - 216*o**3 + 12658*o**2 - 103824*o - 116699. (o - 103)**2*(o - 11)*(o + 1) Factor -85*g**3 - 1035*g**2 - 2900*g - 480. -5*(g + 4)*(g + 8)*(17*g + 3) Find y, given that y**2 + 717*y - 17020 = 0. -740, 23 Suppose -2*l**4/7 + 6*l**3 + 2322*l**2/7 - 7290*l/7 = 0. Calculate l. -27, 0, 3, 45 What is o in -o**3/2 + 5537*o**2 + 11077*o/2 - 11075 = 0? -2, 1, 11075 Let 4*i**4 - 6716*i**3 - 910740*i**2 - 39797876*i - 574994624 = 0. What is i? -43, 1808 Factor -i**4/5 - 1963*i**3/5 - 7002*i**2. -i**2*(i + 18)*(i + 1945)/5 Find a, given that a**2/2 - a/2 - 10 = 0. -4, 5 Determine x so that 2*x**2 - 41600*x + 216320000 = 0. 10400 Let -4*y**4/7 - 6016*y**3/7 - 2315512*y**2/7 - 40228992*y/7 - 178863876/7 = 0. Calculate y. -743, -9 Let -4*b**4/3 + 616*b**3/3 - 604*b**2 = 0. What is b? 0, 3, 151 Factor f**2/5 - 529*f - 24210. (f - 2690)*(f + 45)/5 What is i in i**3/4 + 865*i**2/4 - 651*i = 0? -868, 0, 3 Factor -5*g**2 - 5565*g - 11110. -5*(g + 2
{ "pile_set_name": "DM Mathematics" }
divided by c? 23 Let j(s) = -s**2 - 8*s + 3. Calculate the remainder when 17 is divided by j(-7). 7 Suppose -d + 1 + 0 = 0, 136 = 2*q + 4*d. Suppose q = 3*p - 2*p. What is the remainder when p is divided by 23? 20 Suppose -j - 5*j + 132 = 0. What is the remainder when j is divided by 8? 6 Calculate the remainder when ((-4)/(-8))/((-3)/(-378)) is divided by 16. 15 Let r be (2 - 2) + (4 - -30). Let p = r - -4. Calculate the remainder when p is divided by (2/(-3))/(2/(-39)). 12 Let p = 200 - 88. Calculate the remainder when p is divided by 23. 20 Suppose -3*b + 12 + 6 = -3*n, 16 = 2*b + 2*n. Suppose -5*h - 3 - b = 0. Let g = 10 + h. What is the remainder when g is divided by 3? 2 Suppose -5*k + 33 = -0*k - 2*c, -2*k + 4*c = -10. What is the remainder when (80/12 - 7)/(6/(-594)) is divided by k? 5 Suppose 11*d - 104 = 61. What is the remainder when 28 is divided by d? 13 Let p(s) = 4*s**2 - 2*s + 1. Let v(j) = 2*j**2 + 11*j - 11. What is the remainder when v(3) is divided by p(-2)? 19 Let r = -1 + 10. What is the remainder when 51 is divided by r? 6 Suppose -574 = -3*v - 5*d, 2*d = 4*v - 626 - 96. Calculate the remainder when v is divided by 37. 35 Suppose -2*i = -i - 11. Calculate the remainder when -3*1*(-8 - -1) is divided by ((-1)/(-1))/(1/i). 10 Let o = -39 + 51. Calculate the remainder when 45 is divided by o. 9 Let y = 1 - -16. What is the remainder when (-16)/(-20)*8*5 is divided by y? 15 Let f(j) = j**2 - 5*j - 3. Let k(w) = -w. Let s(d) = -f(d) - 4*k(d). What is the remainder when 30 is divided by s(8)? 8 Suppose 3*s - 4*s = -34. Calculate the remainder when 237 is divided by s. 33 Suppose w + 2*w - 12 = 2*x, -3*x - 2*w = 44. Suppose -j - 25 = -2*j. Calculate the remainder when j is divided by (-30)/4*x/10. 7 Let x(h) = -h**2 - 6*h - 8. Let r be x(-6). Let n be (-2)/1 - r - 2. Suppose 4*t + 14 = l - 3, -n*l = 5*t - 5. What is the remainder when 9 is divided by l? 4 Suppose -z - c + 12 = 2*z, -5*z = c - 20. Let o = 1 - -2. What is the remainder when z is divided by o? 1 Suppose 10 = 5*u, -r + 3*u - 23 - 40 = 0. What is the remainder when 75 is divided by (-6)/3*r/6? 18 Suppose 4*p = p + 273. Calculate the remainder when p is divided by 32. 27 Let b(n) = -n**2 - 11*n - 10. Suppose -5*p = -0 + 45. What is the remainder when 22 is divided by b(p)? 6 Let s(q) = -q**2 + 11*q + 8. Let h be s(10). Let v be -5*(h/(-15))/(-1). Calculate the remainder when 31 is divided by 18/12*(-44)/v. 9 Let d = -98 + 142. What is the remainder when d is divided by 16? 12 Let i(l) = l**3 + 5*l**2 - l + 7. Calculate the remainder when 22 is divided by i(-5). 10 Let v = 73 - -234. Let x = v + -135. What is the remainder when 34 is divided by x/14 + 10/(-35)? 10 Suppose l = -22 + 4. Suppose d + 28 = 2*d. What is the remainder when d is divided by (-94)/(-6) - (-12)/l? 13 Suppose 0 = 4*m - 4 - 12. What is the remainder when 12 is divided by m? 0 Let j(x) = 4*x**3 - 2*x**2 + 2*x - 2. Let p = -11 + 13. Calculate the remainder when 50 is divided by j(p). 24 Let p(i) = -2*i**3 + 2*i**2 + 2*i - 2. What is the remainder when 51 is divided by p(-2)? 15 Let c(f) = -f**3 + 9*f**2 + 8*f + 7. Let q be c(9). Let w = 111 - q. Calculate the remainder when w is divided by 17. 15 Suppose -5*m = -2*m - 63. What is the remainder when 82 is divided by m? 19 Suppose 3*i = 2*x - 27, 0 = x + x + 3*i + 3. Let q(s) = -s**2 - s + 1. Let u be q(-4). Let n = 34 + u. Calculate the remainder when n is divided by x. 5 Suppose -2*d = -3*u - 35, 2*u = 6*u + 12. Suppose -4*q - 3 = -367. Suppose -q - d = -4*k. Calculate the remainder when k is divided by 9. 8 Let r(g) = -5 + 2 - 2 + 4*g + 3. Let c be 3/2 - 2/(-4). What is the remainder when 11 is divided by r(c)? 5 Let s(u) = u**3 + u**2 + 3. Suppose -b = 3*b. Let p be s(b). Suppose -x = 4*o - 154, -p*o - 4*x = -5*o + 68. Calculate the remainder when o is divided by 13. 12 Suppose -5 = -3*n - 2*n, -3*m + 1 = 4*n. Let i(c) = -20*c**3 - 2*c**2 - 2*c - 1. Calculate the remainder when 74 is divided by i(m). 17 Suppose 7*x - 204 + 15 = 0. Calculate the remainder when x is divided by 7. 6 Let f be -1 + (8/(-2) - -7). Suppose -8 = -2*x - f*x. What is the remainder when 5 is divided by x? 1 Let j(g) = -20*g - 87. Calculate the remainder when j(-5) is divided by 8 - (-1)/1*-1. 6 Let a = -19 + 39. Calculate the remainder when 76 is divided by a. 16 Let g = 4 + -4. Let f = 9 - g. What is the remainder when 25 is divided by f? 7 Let n be 1 + -1 + (-23 - -2). Let d = n + 72. Let l(j) = 3*j**3 - 2*j**2 - 3*j + 3. Calculate the remainder when d is divided by l(2). 12 Suppose 3*c + 12 = -c. What is the remainder when c + (16 - 6/(-3)) is divided by 9? 6 Suppose 5*x + 0 = 15. Suppose -5 = -0*f - 5*f. Calculate the remainder when x is divided by f. 0 Suppose -5*z - 53 = -4*w, -60 = -3*w - 0*w - 3*z. What is the remainder when w is divided by ((-4)/10)/(4/(-60))? 5 Let l = 34 - 15. Let o = l + 0. What is the remainder when 73 is divided by o? 16 Let k(n) = -3*n + 2. What is the remainder when k(-6) is divided by 11? 9 Let o(l) = 41*l**3 - l**2 - l - 1. Let t be o(-1). What is the remainder when (-1 + 3)/((-12)/t) is divided by 3? 1 Let y be (-391)/(-6) - (-2)/(-12). Suppose 3*g = 450 - 177. Let l = g - y. What is the remainder when l is divided by 14? 12 Let m(i) = -i + 16. Let l be m(9). Let g = l - 0. Calculate the remainder when (-392)/(-20) - 6/10 is divided by g. 5 Let z(i) be the third derivative of 1/3*i**3 + 1/24*i**4 - i**2 + 0*i + 0. Calculate the remainder when 19 is divided by z(3). 4 Suppose 0 = 10*m + 3*m - 949. What is the remainder when m is divided by 20? 13 Suppose 0 = 3*w + 2*w + z - 31, -z = -1. Let v = w - -6. Calculate the remainder when 22 is divided by v. 10 What is the remainder when (-8)/(16/6) - -13 is divided by 2? 0 Let j = -35 - -60. Let n = 145 - 71. Calculate the remainder when n is divided by j. 24 Suppose -5*j = 15, 3*z - 5*j - 72 = 57. What is the remainder when z is divided by 14? 10 Let x = 333 - 315. Suppose 0 = -4*z + 5*z - 32. Calculate the remainder when z is divided by x. 14 Let p(s) = 8*s**2 + s - 1. Let i be p(1). Suppose f - i = -1. Calculate the remainder when f is divided by 1/2 - (-14)/4. 3 Let n = -69 + 120. What is the remainder when n is divided by 9? 6 Let l = -13 + 31. Calculate the remainder when l is divided by 7. 4 What is the remainder when 822/15 - (-8)/(-10) is divided by 19? 16 Let k = 47 + -37. Calculate the remainder when 49 is divided by k. 9 Let j = -26 - -58. Calculate the remainder when 61 is divided by j. 29 Let w = 18 + -13. Suppose w*r = 4*r + 6. What is the remainder when 17 is divided by r? 5 Let k(u) = -u**3 - 3*u**2 - 3*u - 1. Let f be k(-2). Calculate the remainder when 2/(-9) + (-434)/(-9) is divided by (-34)/(2*(f + -2)). 14 Let s = -4 + -24. Let m = 57 + s. Calculate the remainder when 115 is divided by m. 28 Let t(d) = 2*d**2 + 5*d + 2. Calculate the remainder when 52 is divided by t(-5). 25 Let r = 39 + -24. Calculate the remainder when r is divided by 9. 6 Let o(d) = 3*d**2 + 4*d. Let y(a) = -3*a**2 - 66*a + 28. What is the remainder when y(-22) is divided by o(-3)? 13 Suppose -2*z + 0*z - 143 = -3*o, -4*z - 16 = 0. Calculate the remainder when o is divided by 6. 3 What is the remainder when 46 is divided by (15 - -1)*((5 - 3) + -1)? 14 Suppose 0 = -2*c + 3*c - 16. Calculate the remainder when 78 is divided by c. 14 Let h(l) = -4*l**2 - l + 9. Let u(m) = -m**2 + m. Let j(c) = -h(c) + 3*u(c). What is the remainder when j(6) is divided by 13? 12 Let q = -24 + 74. Calculate the remainder when 193 is divided by q. 43 Let i(g) = 2*g**2 + 2*g - 3. Let t = 7 - 11. Calculate the remainder when i(t) is divided by 11. 10 Let i(p) = -18*p + 12. Calculate the remainder when i(-4) is divided by 43. 41 What is the remainder when (-165)/(-3) + 0 - 1 is divided by 14? 12 Let z = 14 - 10. Suppose -z*i + i + 63 = 0. Suppose 5*w = i + 94. Calculate the remainder when w is divided by 12. 11 Let p(k) = k**3 - 12*k**2 + k. Calculate the remainder when p(12) is divided by 7. 5 Suppose z = 40 - 31. Calculate the remainder when 23 is divided by z. 5 Suppose -a - 4*a = -165. Let b = 60 - a. Calculate the remainder when 39 is divided by (b - 3/(-3))/2. 11 Suppose -7 = -4*i + 17. Suppose 0 = -2*r + 2*y + 52, 0 =
{ "pile_set_name": "DM Mathematics" }
c**3 - 2765*c**2. Let m(k) = -18*k**3 + 553*k**2. Let l(z) = 11*m(z) + 2*n(z). Find the third derivative of l(t) wrt t. -96 Suppose -4*s = -2*s. Let k be (s + 0)/(10 + -9). Differentiate -3 + k*j + 2 - 3*j + 5 with respect to j. -3 Find the first derivative of -120 - 39*n + 70*n + 26*n + 66*n wrt n. 123 What is the second derivative of 68 + 178*a + 50*a**2 + 3*a - 145 + 74 - 162*a**2 wrt a? -224 Let j = -2287 + 45749/20. Let a(m) be the second derivative of 0*m**3 + j*m**5 + 0 - 1/2*m**4 - 4*m + 0*m**2. Find the third derivative of a(t) wrt t. 54 Let z(y) be the first derivative of 21*y**2/2 - 24*y + 160. What is the first derivative of z(b) wrt b? 21 Suppose -5*b = k - 4*k - 36, 2*k + 3*b + 24 = 0. Let i = k + 15. What is the third derivative of 2*y**2 + 0*y**i - y**2 + 3*y**3 wrt y? 18 Let h(t) = 2*t**3 - 4*t**2 - 3*t + 21. Let g(s) = -4*s**3 + 3*s**2 + 5*s - 22. Let c(q) = -3*g(q) - 4*h(q). What is the second derivative of c(k) wrt k? 24*k + 14 Find the third derivative of -72*w**6 + 438 - 435 - w**3 + w**3 + 2*w**2 wrt w. -8640*w**3 Let t(c) be the first derivative of c**4 + 52*c**3/3 + 13*c**2/2 - 543. Find the second derivative of t(g) wrt g. 24*g + 104 Let s(q) = -34*q**2 + 3*q + 1. Let v(y) = -y**2 + y - 2. Let d(b) = -s(b) + 2*v(b). What is the second derivative of d(i) wrt i? 64 What is the second derivative of y + 0*y - 205*y**2 - 2112 + 2110 + 10*y wrt y? -410 Let p(i) be the third derivative of 0*i**4 - 9*i**2 + 0 + 0*i + 0*i**3 + 1/12*i**6 + 11/60*i**5. Find the third derivative of p(n) wrt n. 60 Suppose 3*s - 5*a - 15 = -2*s, 5*s = -2*a + 8. What is the third derivative of -57 - 32*g**5 - 39*g**s + 57 wrt g? -1920*g**2 Find the second derivative of 268*p**2 + 3035 - 302*p - 3035 wrt p. 536 Let a(k) = 4*k**3 - 3*k**2 + 2*k. Let n be a(1). What is the second derivative of -l**4 - 3*l + 17*l - 3*l**4 - n*l wrt l? -48*l**2 Let i(t) be the third derivative of -151*t**9/168 - 521*t**5/60 + 396*t**2. Find the third derivative of i(c) wrt c. -54360*c**3 Let n(l) be the first derivative of -24*l**5 - 55*l**2/2 + 45. Find the second derivative of n(t) wrt t. -1440*t**2 Suppose 0 = y + 4*s + 8, -5*y = -2*s + 9 - 35. Find the second derivative of 3*r - 2*r + 1 - 6*r**5 + 8*r**5 + 36*r**y wrt r. 40*r**3 + 432*r**2 Let f be 1*(-4 - (-4 + -83)). Find the first derivative of 82 - f + 6*z + 4*z**2 - 48 wrt z. 8*z + 6 Suppose -11 - 27 = -4*u + 3*p, 18 = u - 5*p. Suppose 0 = u*o - 3*o - 25. Differentiate -8 + 1 + 0 - 12*m - o with respect to m. -12 Let d(k) be the second derivative of 0 + 10*k + 13/30*k**6 + 5/2*k**3 + 0*k**2 + 0*k**5 + 0*k**4. Find the second derivative of d(l) wrt l. 156*l**2 Let m(r) = 241*r**2 - 31*r + 7. Let l(n) = 481*n**2 - 60*n + 13. Let v(s) = -4*l(s) + 7*m(s). Find the second derivative of v(x) wrt x. -474 Let f be 32 + 3 - (1 - -1). What is the third derivative of -f*p**5 + 32*p**2 - 10*p**2 + 6*p**5 + 0*p**2 wrt p? -1620*p**2 Find the third derivative of -378*s**2 - 3*s**3 + 13*s**4 + 0*s**3 - 5*s**4 + 275*s**2 wrt s. 192*s - 18 Differentiate 444 + 30*a**3 - 882*a**3 + 151 - 127 wrt a. -2556*a**2 Let o be 6 - (6 - (1 - -3)). Differentiate -31 + 11 - 7 + 32*y**3 - o*y**3 with respect to y. 84*y**2 Differentiate -r + 12*r**2 - 188 - 67 - 63 + 24*r**2 - 6*r**2 with respect to r. 60*r - 1 Let i(p) be the second derivative of 147*p**4/4 + 396*p**2 - 8*p + 37. Differentiate i(a) wrt a. 882*a Let s be 288/135 - (-4)/(-30). Find the third derivative of -2*i**2 + 0*i**s - 7*i**6 - 3*i**2 wrt i. -840*i**3 Let s(v) = -77*v + 205. Let l(w) = -155*w + 408. Let z(o) = 6*l(o) - 11*s(o). Find the first derivative of z(h) wrt h. -83 Let l(v) be the second derivative of 33*v**5/20 + v**3/2 - 19*v**2 + 199*v. Differentiate l(z) with respect to z. 99*z**2 + 3 Find the second derivative of 26 + 1570*u**5 - 1388*u**5 - 2*u + 74 wrt u. 3640*u**3 Suppose 10 = u + 7*p - 2*p, 3*u = 3*p + 12. What is the third derivative of 7*b**2 + 32*b**3 + u*b - 5*b + 21*b**2 wrt b? 192 Suppose 8*x - 63 = 11*x. Let m = -15 - x. Find the third derivative of 5*o**2 - o**2 + m*o**4 + o**2 wrt o. 144*o Let s(c) be the third derivative of 137*c**4/6 - 261*c**3/2 - 365*c**2 + 1. What is the derivative of s(j) wrt j? 548 Let r(w) = 21*w - 4. Let z be r(4). What is the first derivative of -z*y + 17 + 41*y + 52*y wrt y? 13 Let j(c) be the second derivative of 109*c**8/28 + c**5/20 - 217*c**4/12 + 92*c. What is the third derivative of j(d) wrt d? 26160*d**3 + 6 Let b(a) be the first derivative of -34*a**5/5 + a**2/2 + 46*a + 281. What is the second derivative of b(x) wrt x? -408*x**2 Let m(t) = 15*t**4 + 8*t**3 + 40*t**2 - 9*t. Let p(q) = 8*q**4 + 5*q**3 + 19*q**2 - 5*q. Let f(d) = 4*m(d) - 7*p(d). What is the third derivative of f(c) wrt c? 96*c - 18 Let x(a) = a**2 - 9*a - 2. Let b be x(10). What is the second derivative of 7*h + 0*h + 14*h + b*h**2 - 50*h**2 wrt h? -84 Let j(m) be the second derivative of -3*m**6/40 + 2*m**3 + m**2 + m. Let x(d) be the first derivative of j(d). What is the first derivative of x(t) wrt t? -27*t**2 Let c be (-13)/(-4) - 6/24. Suppose 3*j + 1 = 4. Find the first derivative of b - j + c*b - 1 wrt b. 4 Let t(l) be the first derivative of 19*l**4/2 - l**2 + 128*l + 83. Differentiate t(o) wrt o. 114*o**2 - 2 Let x = 0 + -4. Let o be (-1)/x - 21/(-12). Find the third derivative of -8*d**3 + 3*d**o - 6*d**2 + 0*d**3 wrt d. -48 Let r(d) be the second derivative of -d**7/105 + 43*d**3/6 - d**2/2 - 7*d. Let a(o) be the first derivative of r(o). Find the first derivative of a(k) wrt k. -8*k**3 Let u(s) be the first derivative of -5*s**7/42 - 5*s**3/6 + 3*s + 13. Let o(k) be the first derivative of u(k). Find the second derivative of o(v) wrt v. -100*v**3 Let n(t) = t**2 + t - 4. Let y be n(-5). Suppose 4*p = -y + 52. What is the third derivative of 0*h**2 + 7*h**6 + 7*h**2 - p*h**2 wrt h? 840*h**3 Let n(b) be the first derivative of -b**5/15 + b**3/2 + 4*b**2 - 7. Let c(a) be the second derivative of n(a). Differentiate c(s) with respect to s. -8*s Let q(m) be the first derivative of 0*m - 14/5*m**5 + 5 + 0*m**3 + 0*m**4 - 13/2*m**2. Find the second derivative of q(l) wrt l. -168*l**2 Let m(p) = 20*p**3 + 6*p - 12. Let j(d) = d - 1. Suppose -17*x + 18*x - 6 = 0. Let b(f) = x*j(f) - m(f). Differentiate b(k) with respect to k. -60*k**2 Suppose -2 - 2 = 4*s - 4*h, 11 = -2*s - h. Let q(o) = 8*o**3 - 13. Let u(c) = -1 - 1 + 3 + 0. Let a(l) = s*u(l) - q(l). Differentiate a(v) wrt v. -24*v**2 Let k(c) = -2*c**4 + 2*c + 5. Let d = -7 - -2. Let l(s) = s**4 - 2*s - 4. Let h(u) = d*l(u) - 4*k(u). What is the second derivative of h(w) wrt w? 36*w**2 Let u(y) be the third derivative of 7*y**6/60 + 3*y**4/8 + 3*y**3/2 - 10*y**2 - 6*y. What is the second derivative of u(p) wrt p? 84*p Find the second derivative of -69*r**2 + 1488*r - 704*r - 52*r**2 - 745*r wrt r. -242 Find the second derivative of -5 + 2*n**4 + 25*n + 3*n**2 - 8*n**4 + 5 wrt n. -72*n**2 + 6 Let n be 111/4 + (-34)/(-8) + -4. What is the second derivative of -11*z**2 + 5*z + 25*z**2 - n*z wrt z? 28 Let p(i) be the second derivative of 1/2*i**4 + 0 + 0*i**2 + 0*i**5 + 0*i**3 + 0*i**7 + 0*i**6 - 2*i + 1/8*i**8. What is the third derivative of p(s) wrt s? 840*s**3 Let t = 53 + -42. What is the derivative of 5*l**2 + 3*l**2 + t*l**2 + 21*l**2 + 34 wrt l? 80*l Let h(k) = -k**4 + 2*k**3 - k. Let d(z) = -3*z**4 - 7*z**3 - 5*z - 271. Let u(x) = d(x) - 5*h(x). Differentiate u(g) with respect to g. 8*g**3 - 51*g**2 Let j(v) be the third derivative of 0*v + 0 + 0*v**3 + 1/42*v**7 + 12*v**2 + 0*v**6 - 19/60*v**5 + 0*v**4. Find the third derivative of j(h) wrt h. 120*h Let g(a) be the first derivative of -2*a**5/5 - a**4/4 - 42*a + 41. What is the first derivative of g(k) wrt k? -8*k**3 - 3*k**2 What is the third derivative of -4*k**5 + 24*k**4 - 53*k - 3*k**2 - 24*k**4 - 3*k**6 + 29*k wrt k? -360*k**3 - 240*k**2 Find the first derivative of 50*r**4 + 377 - 395 + 16*r**4 wrt r. 264*r**3 Let a(i) be the first derivative of 14/5*i**5 + 0*i**4 + 0*i**2 - 9 + 0*i - i**3. Find the third derivative of a(m) wrt m. 336*m Let f(w) = -112*w**2 + 152. Let c(s) = -4*s**2 - 2. Let y(a) = 80*c(a) + 5*f(a). What is the derivative of y(b) wrt b? -1760*b Let h(f) = 6*f**5 + 2*f**3 - f**2 - 40*f - 2. Let v(k) = k**5 + k
{ "pile_set_name": "DM Mathematics" }
o = z*s - 24. Is s less than or equal to 3? True Let n be (-27)/(-4) - 6/8. Let j be 4 - 1 - (n + -6). Let f = 6 + -4. Which is greater: f or j? j Let u be 2/(-11) + ((-921)/198 - -1). Let p = u + 19. Which is bigger: p or 14? p Suppose -28 = -5*i + 27. Suppose 4*g = -g + 15. Suppose -f - 2*z = -0*z - 6, 4*f - g*z = 57. Which is smaller: f or i? i Suppose -21*m - 52*m - 292 = 0. Which is greater: m or -1/12? -1/12 Let r(g) = -g**2 - 12*g + 10. Let n be r(-13). Let h = -150 - -132. Is h bigger than n? False Let r = 261 + -436. Is -1/3 less than or equal to r? False Suppose -11*f = 17*f + 4928. Which is bigger: -177 or f? f Let b be (-300)/42 + 7 + 1/7. Let y(s) = 2*s + 4. Let g be y(-3). Let x be g/(-1) + (b - -4). Is x <= 5? False Let v = -8.19 - -8.09. Is v > 1.74? False Let j = 3 - 2.978. Let p = j + -0.015. Which is smaller: p or 0? 0 Let v = -1.02 - -0.02. Let y = -0.0416 + 21.9416. Let h = y + -22. Which is greater: h or v? h Let t(v) be the first derivative of v**4/4 - 4*v**3/3 + 2*v**2 - 7. Let m be t(2). Is -31 bigger than m? False Suppose 8*x + 20 + 164 = 0. Which is smaller: -25 or x? -25 Let v = -1178 + 807. Which is bigger: -1111/3 or v? -1111/3 Let v = -804 + 857.9. Let q = -54 + v. Which is bigger: q or 0.26? 0.26 Let i be (3/(-138))/(39/(-26)). Are i and -1 equal? False Let r = -515948/999444915 - -18/31115. Let c = r + -3736745/32121. Let n = 118 + c. Is 1 smaller than n? True Let j = 3238 - 22629/7. Let t = j - 837/161. Let u(s) = -2*s + 20. Let k be u(10). Which is greater: k or t? t Let n(t) be the first derivative of 2*t**3/3 - 7*t**2/2 + 3*t + 3. Let j be n(5). Which is smaller: j or 0? 0 Suppose 0 = -0*w + 4*w - 8, -3*h = -2*w + 253. Do -1 and h have the same value? False Suppose -14*p + 6*p = -4*p. Which is smaller: p or 500? p Let m = -15.7 - -11.7. Suppose 0*p + k = p + 47, 3*k = 15. Let x be (3/p)/(2/8). Which is bigger: m or x? x Let l(c) = -c**3 + 5*c**2 + c + 2. Let m be l(5). Suppose -19 = -3*x - m. Is x less than 2? False Let v = -373 + 372.797. Let w = v + 0.003. Let c = -2 - -3. Which is greater: c or w? c Let o(k) = -3*k**3 - 21*k**2 + 4*k + 28. Let t be o(-7). Does t = -46/37? False Let c = 232 - 231. Which is bigger: -7 or c? c Let g be (-1 - 31/(-6))*(-63)/280. Let b(u) = u**3 - 34*u**2 + 32*u + 31. Let q be b(33). Is q > g? False Let v be 336/(-40) - -15 - 7. Suppose -4 = 3*t - 8*t - 2*c, 4*t - c = 11. Let p be (0 - (-2 + t))/1. Is p bigger than v? True Let k = -0.01679 + -22.21321. Let g = 23.2 + k. Let j = g - 1. Is 1 bigger than j? True Let r = -16 - -15. Let o = 37/10 - 19/5. Which is smaller: o or r? r Suppose 2*r - 7 - 37 = 0. Suppose 3*k - r = -4*q, 5*k = -0*q + 2*q + 2. Which is smaller: q or 21/5? q Let g(z) = -55*z + 409. Let i be g(8). Is -19 less than i? False Let w be (-1)/(-3) + (-1533)/1350. Let j = 13/18 + w. Which is smaller: j or -1/2? -1/2 Let u = 147201/115 + -1280. Which is smaller: u or -1? -1 Let z(k) = -k**3 + k**2 - 12*k + 62. Let r be z(6). Is r <= -191? False Let c be (25 - 29)*1/(1 - -1). Let q = 7 + 113. Let f = -483/4 + q. Is f smaller than c? False Let l = 1381 - 42817/31. Let q = 2.9 - 0.9. Is q less than l? False Suppose -5*x = 0, 10*x - 18 = -w + 5*x. Suppose 0 = -2*r + w - 0. Let s be (r/2)/((-27)/(-36)). Is 7 less than s? False Let r(q) = -q**2 - 34*q + 264. Let s be r(8). Are -1/5 and s equal? False Let d(p) = -22*p + 11*p + 2 + 14*p. Let c be d(0). Is 12/17 > c? False Suppose 0 = 2*a - 5*a + 117. Let j = a - 38. Suppose -4*s + j = -3. Is s at most 8? True Suppose 3*f = -0*f - 4*f. Which is bigger: f or -2/341? f Suppose -6*w + 8 = -4*w. Suppose l = -w*y + 5 + 11, -3*l = -5*y - 99. Is l smaller than 29? True Let y = -11.971 + -0.029. Let v = 12 + y. Is 2 bigger than v? True Let d(q) = 4 - 7 - 3 + 3*q. Let s be d(4). Let k(h) = h + 6. Let x be k(0). Is x at least as big as s? True Let a(v) = 31*v + 109. Let y be a(-12). Which is smaller: -262 or y? y Suppose 5 + 9 = -2*k. Let n = -4 + 8. Suppose -n*z = 27 + 5. Which is greater: z or k? k Let g(x) = -x**3 - 2*x**2 + 5*x + 2. Let f be g(-3). Let d(t) = -7*t - 4. Let u be d(f). Let c = 23 - u. Is -4/31 less than c? False Let o = -12 + 16. Let w(p) = -26*p**2 - p + 4. Let h be w(o). Let y = 4572/11 + h. Is 0 at least y? True Let w = 199 + -1789/9. Let z = w + -8/9. Which is smaller: z or 1/7? z Let o(b) = b**3 - 17*b**2 - 6*b + 64. Let d be o(10). Which is smaller: -695 or d? d Let h(a) = -a - 51 - 25 + 24. Let k be h(-13). Which is smaller: -38 or k? k Let g = -320 + 379. Is 49 >= g? False Let i be ((-2)/(-14))/((-4)/24). Suppose -3 = -k + 4*k. Which is smaller: k or i? k Let w = 785 + -753. Is w equal to -1/6? False Let a(f) = 39*f - 824. Let g be a(21). Let o(q) = -q - 11. Let y be o(-6). Is y != g? False Let t(l) = -4*l**3 - 7*l**2 - 2*l. Let u(x) = x**3 + x**2 + 1. Let m(n) = t(n) + 3*u(n). Let a be m(-3). Is -1/12 not equal to a? True Suppose -8 = -3*r + 2*f, 6 - 2 = -f. Let l be ((-6)/(18/21))/(-4). Are r and l unequal? True Suppose 123*m = 126*m - 318. Is 107 <= m? False Let s be (-10)/25 + 9/(-15). Which is greater: -1/185 or s? -1/185 Let h = 610 - 119. Are h and -1 nonequal? True Let a(j) = 10*j + 7. Let l be a(-4). Let t = l + 27. Is t bigger than -7? True Let o = 3 - 1. Suppose 2*p + o*p - 14 = -d, 3*p - 11 = -d. Let b be -3 + 2 + (d - 0). Are b and 6/7 non-equal? True Suppose -20*g + 3*q = -16*g - 126, 3*g - 91 = 4*q. Is g > 255/8? True Let o be -8*117/(-26)*(-4)/6. Is -270/11 equal to o? False Let u = -1 - -19. Let d = u - 19. Is d bigger than 19? False Let q be 72/16 - (-6)/(-4). Suppose -40 = q*r + 2*r. Do -6/11 and r have the same value? False Let a = -0.1 - -0.6. Suppose 0 = 5*o + 74 - 69. Is a at least as big as o? True Let n = 0.57 + -25.57. Let v = 15 + n. Do v and 0.1 have the same value? False Suppose -25 + 364 = 3*s. Let a = s - 2. Are 111 and a nonequal? False Suppose -4*l - 2*s = -36, -5*l + 2*s = -81 + 27. Let c(k) = -2*k**3 + 5 + k**3 - 4*k + 6*k**2 + 0*k. Let m be c(5). Is l at most as big as m? True Suppose 43*p = 45*p + 4. Let u be (56/30)/(p/5). Let f(k) = k + 1. Let d be f(-5). Is u bigger than d? False Let u = -0.134 + 0.134. Is u <= 2/7? True Suppose 4*i - 49 + 45 = 0. Is -2/899 less than i? True Suppose 4*s + z - 29 = 0, -3 = 3*s - 4*z - 1. Suppose 0 = 3*c - s*c + 117. Suppose -5*i = -c + 34. Which is smaller: 0 or i? 0 Let z(f) = f**2 - f. Let a(m) = -4*m**2 + 4*m + 2. Let r(t) = -a(t) - z(t). Let k be r(4). Suppose 4*h - k = 10. Does h = 13? False Let k = -20 - -25. Suppose -17*b = -12*b + k. Is -1/61 greater than b? True Let d = -0.1 - 0.1. Let s = 27398 - 27418. Which is smaller: s or d? s Let g be (-72)/(-40)*(-3)/3*-10. Suppose 3*z + 5*t + 2 = 1, 5*z - 13 = -t. Which is greater: g or z? g Let s be -9 + 1869/618 - (-2 + -4). Which is smaller: 0 or s? 0 Let p(a) = a**2 + 3*a - 16. Let u be p(-7). Let b = u + -7. Suppose -2*q + 0 = f - 5, -b*q - f + 20 = 0. Which is smaller: 6 or q? q Let n = 3219/7 - 459. Let s = 6614 + -6613. Which is smaller: n or s? n Suppose -3*u - 18 = 3*x + x, 0 = -4*u - 8. Let p be (-20)/(-15)*x*-2. Which is greater: p or 9? 9 Let a(h) = -h + 1. Let d be a(-3). Suppose -d*u + 282 = -5*q, -u - 6 = -4. Let k be ((-3)/q)/(-3)*2. Is k less than or equal to 1? True Let m = 81 - 165. Which is greater: 0.4 or m? 0.4 Let y = -29 - -107. Let j = y + -77. Which is smaller: 3/28 or j? 3/28 Suppose 4*r - 56 = -j + 4*j, 0 = 4*r - 8. Let f = j - -20. Let h = -7 + 12. Which is greater: h or f? h Let g = -32 + 50. Let k(x) = -x**3 - x**2 - 3. Let c be k(-2). Let r be -1*c*g/12. Is r less than -2? False Let l = -23 + 27. Suppose 4*j = z - 0*z - 1, -l*j - 5*z = -29. Which is smaller: 0 or j? 0 Let b be 3 + 1 + 62/16. Let o be 24/2 - 1*(-1 - -5). Which is greater: o or b? o Let l = 15/64 + -2985/448. Suppose -3*k - 6 = -3*i, 2*k = -5*i - 21 - 18. Which is smaller: l or k? k Let o = 4 - 2. Suppose h - o*q + 3 = 0, 0*h + h = q - 3. Suppose 15*r = 19*r + 8. Is h not equal to r? True Let i = 10 - 7. Suppose i*v - q - 14 = 0, 4*v + 3 = -0*v - 3*q. Suppose -7 - 9 = -4*d. Which is bigger: d or v? d Let z(d) be the first derivative of d**4/4 - 11*d**3/3 + 5*d**2 + 2*d + 11. Let g be z(10). Let f be (-2)/(1 + (0 - -1)). Does f = g? False Suppose 0*h = -14*h - 392. Which is smaller: -
{ "pile_set_name": "DM Mathematics" }
t(2))/(sqrt(275)*-1). -4*sqrt(2)/5 Simplify ((sqrt(220)*1)/sqrt(4))/((sqrt(88)*-3)/sqrt(8)). -sqrt(5)/3 Simplify sqrt(42)/(-4*(sqrt(6) + -1*sqrt(6) + sqrt(6))). -sqrt(7)/4 Simplify (5*2*sqrt(162))**2 + 1. 16201 Simplify (sqrt(2548) - (sqrt(2548) + -1))*-2. -2 Simplify -5*-4*(sqrt(425))**2. 8500 Simplify sqrt(20)/(-2*sqrt(4)) + (sqrt(20))**2*-2. -40 - sqrt(5)/2 Simplify (((sqrt(70) - (5*3*sqrt(70) - sqrt(70))) + sqrt(70) - sqrt(70))/(sqrt(810)*3))**2. 1183/729 Simplify (sqrt(2) + 2)*6 - (sqrt(2) + -5 + 2*sqrt(2))**2. -31 + 36*sqrt(2) Simplify (sqrt(11) - 5*sqrt(275)) + -1. -24*sqrt(11) - 1 Simplify ((-2*sqrt(70)*3)/sqrt(10))**2. 252 Simplify 2 + 1*sqrt(72). 2 + 6*sqrt(2) Simplify -2 + 3*(sqrt(198)/sqrt(44) - sqrt(18))**2. 23/2 Simplify -3 + sqrt(99) + sqrt(11) + 0. -3 + 4*sqrt(11) Simplify -1*(1 + -2 + sqrt(2736)). -12*sqrt(19) + 1 Simplify -2 + (sqrt(252) + 1)**2. 12*sqrt(7) + 251 Simplify ((sqrt(20)/(sqrt(32)/sqrt(8)) - sqrt(5)) + 2)**2. 4 Simplify 3*(sqrt(104)/sqrt(2) - sqrt(52))/sqrt(4). 0 Simplify -4 + -2*sqrt(13)*1 + -3. -2*sqrt(13) - 7 Simplify (sqrt(26) - (-1*sqrt(52)/sqrt(2) + sqrt(26)))/(sqrt(2) + -3*((sqrt(8)/sqrt(4) - sqrt(2)) + sqrt(2) - sqrt(2))). sqrt(13) Simplify ((sqrt(78) + ((-2*sqrt(78) - sqrt(78)) + sqrt(78) - sqrt(78)))/sqrt(6) + sqrt(13))**2 + -2 + -5. 6 Simplify ((1*(sqrt(190) + (sqrt(190)*3 - sqrt(190)) + sqrt(190)))/(sqrt(80)/sqrt(392)))**2. 14896 Simplify ((-6*sqrt(99)/sqrt(9))**2 + -4)*-6. -2352 Simplify (sqrt(51)/sqrt(3) + 0 + -3)**2. -6*sqrt(17) + 26 Simplify (sqrt(1936) - sqrt(1936)*-2 - sqrt(1936))/(sqrt(800)*4). 11*sqrt(2)/20 Simplify 3 + sqrt(11) + (sqrt(176) + 5)**2. 41*sqrt(11) + 204 Simplify sqrt(288) + -2 + 2 + -5. -5 + 12*sqrt(2) Simplify (sqrt(63) + (sqrt(504)*1)/sqrt(8))/(sqrt(9) - -1*sqrt(324)) + 1. 2*sqrt(7)/7 + 1 Simplify -5*(-5 + (1*sqrt(98)*-1)**2). -465 Simplify ((1 + sqrt(2736))**2*4 + sqrt(2736))*-3. -32844 - 324*sqrt(19) Simplify (2*sqrt(51)*-2)/((-2*sqrt(24))/sqrt(8) - sqrt(3)). 4*sqrt(17)/3 Simplify 1 + (sqrt(192) - ((sqrt(192) - (sqrt(192) + 0)) + 3)**2)*3. -26 + 24*sqrt(3) Simplify (sqrt(11)*2 + -1)**2 - ((-2*sqrt(66) - sqrt(66))/sqrt(6))**2. -54 - 4*sqrt(11) Simplify sqrt(3) - (sqrt(75) + 5 + sqrt(3)) - (sqrt(75) + 0). -10*sqrt(3) - 5 Simplify (6*(3*(2 + sqrt(304)) - sqrt(304)))**2. 3456*sqrt(19) + 45072 Simplify 3 + (sqrt(363) - (((sqrt(363)*1 - sqrt(363))**2 - sqrt(363)) + sqrt(363)) - (sqrt(126)/sqrt(6))/sqrt(7)). 3 + 10*sqrt(3) Simplify (sqrt(245) + -4*(-1*sqrt(245) - sqrt(245) - sqrt(245)) + 3*sqrt(245)*-2 + sqrt(245))**2. 15680 Simplify (sqrt(136) + 1*sqrt(136)*-6)/(sqrt(392) - -3*sqrt(392)). -5*sqrt(17)/28 Simplify (5*sqrt(66)*-1)/(sqrt(150)*1). -sqrt(11) Simplify (5*(0 + sqrt(396) - sqrt(396)) - ((0 + 1 + sqrt(396) - sqrt(396)) + sqrt(396) + sqrt(396)))**2. 24*sqrt(11) + 1585 Simplify (sqrt(14)/(sqrt(32) - sqrt(2) - sqrt(2)) + -1)**2 + (-1*sqrt(63)*-6)/sqrt(9). 11/4 + 5*sqrt(7) Simplify -1*sqrt(44) + sqrt(11) + (sqrt(11) - (0 + sqrt(11))) + 1 + ((sqrt(33)/(sqrt(6)/sqrt(2)))**2 - (-5 + sqrt(22)/sqrt(2))). -2*sqrt(11) + 17 Simplify ((0 + 1 + sqrt(2736))*4 + 3)**2. 672*sqrt(19) + 43825 Simplify (sqrt(1216)*1*-2 - -1*-2*sqrt(1216))**2. 19456 Simplify sqrt(27)*-5 - (sqrt(3) + sqrt(27) + sqrt(27) + (sqrt(27) - sqrt(81)/sqrt(3)) - sqrt(3)). -21*sqrt(3) Simplify 1*((sqrt(81)*2)/sqrt(3))**2. 108 Simplify 5*(sqrt(3) - (sqrt(48) + 2)). -15*sqrt(3) - 10 Simplify (sqrt(80))**2 + -2 + (sqrt(605) - -2*sqrt(605))**2. 5523 Simplify (4 + -2 + sqrt(243))**2. 36*sqrt(3) + 247 Simplify (-2 + sqrt(2) + -1)*6. -18 + 6*sqrt(2) Simplify 1*1*sqrt(13)*4. 4*sqrt(13) Simplify -1 + sqrt(12) - (4 + sqrt(3)*-2 - sqrt(3))**2. -44 + 26*sqrt(3) Simplify ((1 + sqrt(704) - (sqrt(99)/sqrt(3))/sqrt(3)) + 0)**2. 14*sqrt(11) + 540 Simplify (sqrt(12)*-4)/sqrt(6)*6. -24*sqrt(2) Simplify 5 + (sqrt(1539) - -3*sqrt(1539)*-2). -45*sqrt(19) + 5 Simplify 2*sqrt(7)*2 - sqrt(77)/(sqrt(11) + sqrt(33)/sqrt(3) + sqrt(11)). 11*sqrt(7)/3 Simplify (sqrt(405) + -1 - sqrt(405)) + -3. -4 Simplify sqrt(9)/(sqrt(12)/sqrt(4)*-1) + -2. -2 - sqrt(3) Simplify (-4*sqrt(11)*1 + sqrt(11))**2 + -3. 96 Simplify sqrt(110)/(sqrt(120)/(sqrt(12)*3)). 3*sqrt(11) Simplify (sqrt(1210) - 1*sqrt(1210))/(sqrt(24)/sqrt(108)). 0 Simplify sqrt(104)/sqrt(32) - (sqrt(117) - sqrt(117)*1)/sqrt(9). sqrt(13)/2 Simplify (-5*sqrt(96)/sqrt(6))/sqrt(8). -5*sqrt(2) Simplify -3*sqrt(153) + 4 + sqrt(153) - sqrt(153). -9*sqrt(17) + 4 Simplify (sqrt(14) + sqrt(350)*-1 + sqrt(14))/(-6*sqrt(28) - sqrt(7)). 3*sqrt(2)/13 Simplify sqrt(57)/(-1*sqrt(3)*-3)*6. 2*sqrt(19) Simplify -1 + sqrt(17) + 1 + sqrt(17) + ((sqrt(17) - sqrt(68)/sqrt(4))*-3)**2 + -3. -3 + 2*sqrt(17) Simplify (-1*sqrt(810))/sqrt(392). -9*sqrt(5)/14 Simplify (sqrt(1944) + (sqrt(1944)*-5 - sqrt(1944)))/sqrt(12). -45*sqrt(2) Simplify 6*sqrt(3)*2 + sqrt(12)/sqrt(4) + 3. 3 + 13*sqrt(3) Simplify ((sqrt(7) - (sqrt(56)/(-3*sqrt(8)))**2) + (sqrt(21)/sqrt(3))**2*-2)*-4. -4*sqrt(7) + 532/9 Simplify (-6*1*sqrt(102))/((sqrt(12) - sqrt(12)*2)/sqrt(2)). 6*sqrt(17) Simplify (5*(sqrt(891) - -6*(sqrt(891) + 5 - sqrt(891) - sqrt(891))))**2. -67500*sqrt(11) + 579375 Simplify (sqrt(3) + (sqrt(3) + 5*sqrt(300))**2)*2. 2*sqrt(3) + 15606 Simplify -5 + sqrt(78)/((sqrt(6) - sqrt(18)/sqrt(3)) + sqrt(6) + sqrt(6)) + 5. sqrt(13)/2 Simplify -2*sqrt(130)/(sqrt(30)/sqrt(3)). -2*sqrt(13) Simplify (sqrt(264)/(sqrt(30)/sqrt(5)))/(sqrt(20)/(sqrt(5)*-1)). -sqrt(11) Simplify (-5*((-2*sqrt(228) - sqrt(228)) + sqrt(228)))/(sqrt(12) + sqrt(432) + (sqrt(432) - sqrt(432)*-1)). 10*sqrt(19)/19 Simplify (4 + sqrt(68)/sqrt(16))**2*5. 20*sqrt(17) + 405/4 Simplify (1*sqrt(209)*2)/(sqrt(44)/sqrt(4)*4). sqrt(19)/2 Simplify ((sqrt(24)*1)/sqrt(3))/sqrt(4). sqrt(2) Simplify sqrt(36)/(-6*(sqrt(12) + sqrt(48))). -sqrt(3)/18 Simplify (2 + sqrt(3) + 3 - (-3 + sqrt(3) + 1))**2. 49 Simplify (-2*sqrt(77)*3)/((sqrt(110)*-2)/sqrt(10)). 3*sqrt(7) Simplify (sqrt(5) - (sqrt(20)/sqrt(4) + 1) - (sqrt(5) + (sqrt(135)/sqrt(3))/sqrt(9)))**2. 4*sqrt(5) + 21 Simplify (sqrt(1088) - ((sqrt(1088) + -1)*-3)**2) + 3*(sqrt(1088) - (sqrt(1088) - (sqrt(1088) + -1))). -9804 + 176*sqrt(17) Simplify (-1*sqrt(2268) - sqrt(63) - sqrt(63))/sqrt(9)*-3. 24*sqrt(7) Simplify sqrt(99)/(sqrt(72)/sqrt(8)*6). sqrt(11)/6 Simplify 1*(sqrt(125) + 2 + 1). 3 + 5*sqrt(5) Simplify 2*(2 + sqrt(242)). 4 + 22*sqrt(2) Simplify ((3*(sqrt(245) + sqrt(245)*-1))**2 + sqrt(245) + -2)*3. -6 + 21*sqrt(5) Simplify (-4*sqrt(88)/sqrt(8))**2*3. 528 Simplify sqrt(18)/((sqrt(600) - (sqrt(600) - 2*sqrt(600)) - sqrt(600)) + sqrt(600) - sqrt(600))*-2. -sqrt(3)/5 Simplify sqrt(13) + (sqrt(13) + 1 + sqrt(13) + 3 + sqrt(13))**2 - ((sqrt(143)/(sqrt(11)*3))**2 - sqrt(13)). 26*sqrt(13) + 1184/9 Simplify (sqrt(170) + 2*-3*sqrt(170))/sqrt(10). -5*sqrt(17) Simplify -2 + -2*-3*sqrt(39)/sqrt(3). -2 + 6*sqrt(13) Simplify (sqrt(54)/(sqrt(4)/sqrt(2)))/(sqrt(144)/sqrt(4)). sqrt(3)/2 Simplify (1*(sqrt(304) + 0)*2)**2. 1216 Simplify ((sqrt(77) - (sqrt(77) + ((sqrt(77) - sqrt(77)*1 - sqrt(77))*-3 - sqrt(77)))) + sqrt(77))/sqrt(7)*-4. 4*sqrt(11) Simplify (-3 + 3*sqrt(1377) + 3)**2. 12393 Simplify -4 + (6*2*sqrt(448) + 3)**2. 576*sqrt(7) + 64517 Simplify (sqrt(133)/sqrt(112))**2 - ((sqrt(171) + -5)**2 + sqrt(171)). -3117/16 + 27*sqrt(19) Simplify sqrt(44)/sqrt(4) + -3 + 3 - (sqrt(11) + 1)*-5*5. 25 + 26*sqrt(11) Simplify sqrt(36)/(sqrt(84)/(1*sqrt(7)) - sqrt(12) - sqrt(12)) + -4. -4 - sqrt(3) Simplify (sqrt(325) + -5*(0 + sqrt(325)) - sqrt(325))**2*6. 48750 Simplify sqrt(272) + (sqrt(272) + 2 - sqrt(272)) + 2. 4 + 4*sqrt(17) Simplify sqrt(76)/(sqrt(4)*-4) - sqrt(152)/sqrt(288). -5*sqrt(19)/12 Simplify sqrt(38)/(sqrt(6)/sqrt(3)) + 5 + -3. 2 + sqrt(19) Simplify ((1 + sqrt(44))*-5)**2. 100*sqrt(11) + 1125 Simplify 1 + sqrt(20)/sqrt(16). 1 + sqrt(5)/2 Simplify sqrt(152)/(4*sqrt(8)) + 0. sqrt(19)/4 Simplify ((sqrt(20) - sqrt(180))*-6)**2 + (sqrt(500)*1)**2. 3380 Simplify sqrt(304) + -1 + -1. -2 + 4*sqrt(19) Simplify sqrt(65)/(sqrt(245)*4). sqrt(13)/28 Simplify (sqrt(2057) + 1*sqrt(2057) + sqrt(2057))**2*2. 37026 Simplify sqrt(76)/((sqrt(28)*2)/sqrt(7)) + 1 + 2 + (sqrt(38)/sqrt(2))**2. sqrt(19)/2 + 22 Simplify ((sqrt(1539) - (sqrt(1539) + 2 + sqrt(1539))*4) + sqrt(1539))**2 + -4. 864*sqrt(19) + 55464 Simplify ((sqrt(450)*-1)/sqrt(10))**2. 45 Simplify (3*sqrt(1
{ "pile_set_name": "DM Mathematics" }
in 1.34, -4, 9, -1/5, 2/15? -4 Which is the closest to -2/505? (a) 3 (b) 121940 (c) -1/3 c Which is the closest to 1? (a) 5 (b) -4/9 (c) 0.5 (d) 2.98 (e) 0.355 c What is the nearest to -0.5 in 12, 2750, 8? 8 What is the closest to -3/14 in 1/33, 2/5, 2/35, -1? 1/33 Which is the nearest to -306? (a) -2 (b) -36 (c) -1 (d) 0.061 b What is the nearest to -3/7 in -13, -4686, -5? -5 What is the closest to -0.2 in 4793284/5, 6/11, -5? 6/11 What is the closest to -1 in 22, -141, 2, -1/5, 7? -1/5 What is the closest to 1 in 8, -1776, -4, -0.5, 1/4, -11/8? 1/4 What is the nearest to 2/11 in -0.0443, -14, -0.16, 12.9? -0.0443 What is the closest to -0.01 in 0.06, 46/9, -11, 5, 1/4? 0.06 What is the nearest to -3355 in -7, 1/3, 4, -3, -6/11, -4? -7 What is the nearest to 1 in 16/21, 4, 2/57, 95? 16/21 What is the nearest to 1/15 in -2/11, -5, 5, -4, 5/98, -0.02? 5/98 What is the nearest to -1/4 in -2, -5, 2, 44, -1.5673? -1.5673 What is the closest to 681625 in 2/11, 1/3, 2/5, 1/5? 2/5 Which is the closest to 56? (a) 0.1 (b) 4 (c) -5 (d) 2 (e) -106 (f) -7 b Which is the nearest to 17? (a) 3983 (b) 1 (c) 2/223 (d) 3/4 b Which is the nearest to 16? (a) -2/3 (b) 26 (c) 40425 b Which is the closest to 334? (a) -1/5 (b) 0 (c) 2266 (d) 2/11 d Which is the closest to 4/5? (a) 1 (b) -32 (c) -0.4 (d) -1 (e) -0.3 a What is the nearest to -0.1 in 4, 0.25, -111, 1, -3, -7? 0.25 Which is the closest to -12766? (a) 0.2 (b) -2/9 (c) 0.4 b Which is the nearest to -2/5? (a) -0.5 (b) 6/35 (c) -1433 a Which is the closest to -2? (a) 0.3 (b) -1 (c) 0 (d) -3/8 (e) -3672 b What is the closest to 3 in 3, -17.8557, -3, 1? 3 Which is the closest to 2/3? (a) 1644 (b) 1/4 (c) 1/9 (d) 0.12 (e) 0.022 b What is the closest to 10 in 0.13, -6, -31, -0.3, -304/9? 0.13 What is the nearest to -0.3 in 259/11, -3/2, 1586? -3/2 Which is the closest to -1/2? (a) 1/11 (b) -2/7 (c) -0.3 (d) -48/427 (e) 1/3 c Which is the closest to 4/3? (a) 15/302 (b) 10 (c) -1/7 a What is the closest to -1 in -0.06, 3/4, 2/1515, -13/6, 2? -0.06 Which is the nearest to -1/3? (a) -84 (b) -742 (c) -5 (d) 6 c Which is the closest to 0.14? (a) -2 (b) -1/30 (c) 0.02 (d) -1 (e) -4/107 (f) -3/7 c What is the nearest to 3 in 2, 0.8, -1/47, 15, -5? 2 What is the nearest to 1/3 in 0, -1.8923, 12? 0 What is the nearest to -67 in 1, -2/4165, 0, 9? -2/4165 Which is the closest to -2? (a) -1 (b) 367 (c) -0.07 (d) 38 (e) -0.1 (f) 5 a What is the closest to 0.4 in 4/3, -469/8, -2/15? -2/15 Which is the closest to -342/31? (a) 5/2 (b) 1/11 (c) 1/3 (d) 13 b What is the nearest to -148 in 12, 2/3, 5, 0.12? 0.12 Which is the closest to -2.12? (a) -1.9 (b) 2.17 (c) -1 (d) 2/9 (e) -2/9 a What is the nearest to 1 in 164, 2/3, -3/2, 1/2, -838? 2/3 What is the nearest to 4991 in -1, -0.4, -1/4, -0.18? -0.18 Which is the closest to -6088? (a) 0.1 (b) -2/11 (c) 1/7 (d) 0.05 b Which is the nearest to 36.25? (a) 1/3 (b) -149 (c) 14/13 c What is the closest to 17813 in 9, -2, 5, 1/17, 0.5? 9 What is the closest to 1/67 in -5, -1, 0.0174, -33/8, -1/2? 0.0174 What is the closest to 0.1 in 4, 1/4, -0.2, 3/7, 6660? 1/4 Which is the closest to 1333/15? (a) -4 (b) 2 (c) 0 b Which is the nearest to 0? (a) -9 (b) 47 (c) 0.4 (d) 16 (e) 6 (f) 2.5 c Which is the closest to 2/3? (a) -2/17 (b) 3 (c) -5224 (d) 5 (e) 9 (f) 1 f What is the closest to 0 in 82, 74, 3, 1/83, -2? 1/83 What is the nearest to -2/9 in -1/7, 1, -0.07, -0.2, -9601, 3? -0.2 Which is the nearest to 1? (a) 0.3 (b) 4 (c) 0.28425 (d) 0.03 a Which is the nearest to 1/5? (a) 573202 (b) -2 (c) 4/3 c What is the nearest to 616/3 in -2/7, 0.1, 62, -0.2? 62 Which is the nearest to -0.14? (a) -118.08 (b) 237/4 (c) -1/8 (d) 5 c Which is the closest to 0? (a) -0.8 (b) 40.2 (c) 4 (d) -126/23 a Which is the closest to -0.2? (a) 41 (b) 24 (c) 3 (d) 0.7 (e) -19 (f) -4 d Which is the nearest to 0.84? (a) 6 (b) 4 (c) -238 (d) 1/10 (e) 0.03 d What is the nearest to -66 in -15, 0.2, -4/319? -15 What is the nearest to 8 in 2, 4105, 13, -1/4, -0.1? 13 What is the nearest to 0.19 in -28, 3/119, 0? 3/119 Which is the nearest to 6/5? (a) -0.9 (b) 357 (c) 0 c Which is the closest to -18/25? (a) -2/5 (b) -31/8 (c) 8 (d) -1/5 a Which is the closest to -0.1? (a) 2/17 (b) -0.21 (c) 0.4 (d) 24 (e) 1 (f) 58 b Which is the nearest to -8? (a) 2/465 (b) -8 (c) -3 (d) 2/5 b Which is the nearest to 2/5? (a) 16 (b) 7 (c) 2/7 (d) 10 (e) -18 (f) 1 c What is the closest to -13.83 in 1377, 0.9, 0.2? 0.2 Which is the closest to -1.2? (a) -0.91 (b) -0.054 (c) 2/11 (d) -1/3 (e) -0.5 (f) -5 a Which is the closest to -5? (a) -5 (b) 3/10 (c) 0 (d) -579 (e) 2/7 a Which is the nearest to 0.24? (a) -0.2 (b) -2/9 (c) -12/13 (d) 53452 (e) -4 a What is the closest to -1220 in -1496, 2/7, -3, 2? -1496 Which is the closest to 2/11? (a) -440 (b) -8 (c) -110 (d) -5 d Which is the closest to -0.0077? (a) 120/7 (b) -1 (c) 2/11 c What is the nearest to 1.93 in -4, 46, 3/5, -0.3? 3/5 Which is the nearest to 0.1? (a) -2/17 (b) 97564/3 (c) 3/5 (d) 2/9 (e) -5 (f) 3 d What is the closest to -2/11 in 0.4, 4, 0.5, -4396.4, -0.2? -0.2 Which is the closest to 7? (a) -72 (b) 0.01644 (c) -1/3 b Which is the nearest to -50? (a) -1/5 (b) -4577 (c) 2 (d) -0.4 d What is the closest to 2 in 1/49, 0.35, 0.4, 15/2, -1, -0.1? 0.4 Which is the closest to 10? (a) -1.46 (b) 0.063 (c) -235 b What is the closest to -1 in 1/587, 2/2535, -1/4? -1/4 What is the closest to -2/13 in 3.3, -2, 0, 183, 0.4? 0 What is the nearest to 0 in -55, 0.136913, -0.3, 1/4? 0.136913 What is the nearest to -0.2 in -15/4, -1/8, 0.1, 2/40797, -0.28? -1/8 What is the nearest to -2/5 in -0.2, 8549942, 2? -0.2 What is the closest to 2/7 in -5805, 3/5, -1/2, 38, 0.5? 0.5 What is the nearest to -0.1 in 21/41, 28/3, 168, -2/9, -3/2? -2/9 What is the nearest to -0.65 in 5, 959, -0.4, -0.1, -3? -0.4 Which is the nearest to -1? (a) -0.2 (b) -3435 (c) 2/11 (d) -4 (e) -2 a What is the nearest to 94 in -1/6, -2.002, -4, -0.2? -1/6 What is the nearest to -0.3 in 5, -98, -0.04, 0.35? -0.04 Which is the nearest to -23? (a) 0.1656 (b) 0.12 (c) -1 c What is the nearest to 2/15831 in 37, 3, 4, -1/7? -1/7 Which is the closest to 5? (a) 5 (b) 180316 (c) -2/13 (d) 2/13 a What is the nearest to 1 in -0.4, -9/325, -31/5, 2? 2 What is the closest to -493 in -5, 0.2, 234, 0.06? -5 Which is the closest to -2/67? (a) -1/18 (b) -4 (c) -2/23 (d) -0.5 (e) 142 a What is the nearest to -252 in -1/5, 356, -2, 0.4, 0? -2 What is the closest to -0.1146 in 54, -4/3, -5? -4/3 What is the closest to -1 in -1, 848, -1/9, -0.7? -1 What is the closest to -3 in 1/41249, 3, 6? 1/41249 Which is the closest to -3? (a) -1 (b) -0.6 (c) 37611/5 a What is the nearest to 7 in -2/3, -0.4, -4, 3.092, 107? 3.092 What is the closest to -0.2 in 0.1, -1/6, 0.05, 0.18, -38.7? -1/6 Which is the nearest to 1? (a) -5 (b) 10 (c) 1/3 (d) 253 (e) -0.76 c Which is the closest to 4? (a) -46 (b) -2 (c) 20 (d) 8/3 (e) 5 e What is the closest to 0 in -27, -147, -410, -0.3, -4/9? -0.3 Which is the closest to 1/3? (a) 15 (b) 920 (c) 0.5 (d) -0.2 (e) -8 c What is the closest to 34 in -2/5, 97, 2201? -2/5 Which is the closest to 1? (a) 4 (b) 2/9 (c) 7377 (d) 1/2 (e) -12.6 d What is the nearest to -1 in -403, -157, -6, 2? 2 Which is the closest to 1.492142? (a) 16 (b) -0.4 (c) -5 b What is the nearest to -65/6 in 3931, 1/4, -5? -5 Which is the nearest to -1/3? (a) -0.44 (b) 2/551 (c) 22 a What is the nearest to 8 in 15, 3, -7/16? 3 What is the closest to 5 in -4/3, 0.1, -3/55, 40.5? 0.1 Which is the closest to -1? (a) -2.67 (b) -2/3 (c) 525/19 (d) -3/7 b What is the closest to 2 in 19, -3/61, 0.5, 0.03, 0.1? 0.5 Which is the closest to 0.5? (a) 0.031035 (b) -2 (c) 12 a What is the nearest to 0 in -4/7, -7/5, -132, 0.3, 1? 0.3 What is the nearest to 0 in -1.8, 1.122, -1, -8, 2/7? 2/7 What is the closest to 1 in -4, -1966772, 0.1, 0? 0.1 What is the closest to 1/10 in 257/1486, 5, -3? 257/1486 Which is the nearest to -395? (a) 2 (b) -5 (c) -128 c What is the closest to -2/3 in -0.084, -6/5, 4, 0.074? -6/5 Which is
{ "pile_set_name": "DM Mathematics" }
Put 1, g, v in increasing order. 1, g, v Let c = 1 - 0.8. Put 2, c, -2/11 in increasing order. -2/11, c, 2 Let x = 10 + -14. Let u be 1/(1 - 4/3). Put u, x, -1 in descending order. -1, u, x Let x be (-290)/60 - (-1)/(-6). Let n = x - -10. Put 3, 1, n in increasing order. 1, 3, n Let f = 54.9 - 65. Let d = f - -10. Put 5/4, d, 0.3 in descending order. 5/4, 0.3, d Let y = -0.5 + 2.5. Let g = 5 - y. Put g, 7, 4 in decreasing order. 7, 4, g Let i = 4 + 0. Suppose 5*s + 24 = 4*w, -w + 19 = -5*s - 2*w. Put i, 3, s in decreasing order. i, 3, s Let h = 13 + -8. Suppose -w - h = -6*w. Sort 2, -2, w. -2, w, 2 Suppose -p = -2*p - 5. Let n(r) be the third derivative of r**4/24 - 2*r**3/3 - 2*r**2. Let k be n(0). Sort p, k, -3 in increasing order. p, k, -3 Let b(h) = -h**2 - 19*h + 32. Let i be b(-20). Sort -1, -2, 1/4, i. -2, -1, 1/4, i Let w = -2.218 - -0.218. Sort w, 4, 0.5 in increasing order. w, 0.5, 4 Let p be 4/1 + 0/6. Put p, -3, 3 in descending order. p, 3, -3 Let f = -3.2 - -3. Let b = -1.4 - -9.4. Let d = b + -4. Put f, 2/7, d in decreasing order. d, 2/7, f Let w(r) = -r**3 - 7*r**2 - 6*r - 2. Let a be w(-6). Let m be (10/(-15))/(2/(-15)). Suppose -4*x + b + 1 = -8, 5*x - m*b = 30. Put -1, a, x in ascending order. a, -1, x Suppose 2*h = -l - 2*h - 2, -3*l + 3*h - 6 = 0. Put 2, 1, l in decreasing order. 2, 1, l Let z(m) = 2*m + 5. Let a be z(-5). Put 0.04, a, 2/7 in decreasing order. 2/7, 0.04, a Suppose 4*w - 3*w - 12 = -2*b, w = -b + 8. Put 0, 9, b in descending order. 9, b, 0 Let m = 0.02 + -0.42. Let j = m - -0.2. Sort 0.1, j, 1/6 in decreasing order. 1/6, 0.1, j Suppose -2*v - 5 = 5. Sort -2/15, v, -3 in decreasing order. -2/15, -3, v Let w(g) = g**2 + 4*g - 1. Let m be w(-4). Let b(l) = -2*l + 5. Let k be b(5). Sort m, -3, k. k, -3, m Let g = -0.81 - -4.81. Sort 3/5, 0, g, 3 in decreasing order. g, 3, 3/5, 0 Let u = 12 + -15. Put -1, 0, u in descending order. 0, -1, u Let n be (190/30 - 7)*6/(-4). Let h be 9*-2*(-1)/3. Put h, n, -3 in increasing order. -3, n, h Suppose 3*d - z - 13 = -0*d, 10 = 5*d - 4*z. Let p be (1 - 2)*(-3 + d). Sort 1, -2, p in descending order. 1, -2, p Suppose 3*y - m = 16, 2*y + 0*m = 2*m + 8. Sort y, 3, -1. -1, 3, y Suppose 4*w = -0*w. Suppose w = 2*j + 2*p - 18, 0*j + 2*j + p = 15. Put 3/2, j, -2 in decreasing order. j, 3/2, -2 Suppose -r + 14 = -3*h, 0 = r - 4*r - 4*h + 29. Let p = -16 + r. Put 5, p, -2 in decreasing order. 5, -2, p Let y = -1 - -5. Suppose -2*z = 4*b - 2*b - 12, -3*b - y*z = -19. Sort 4, b, -5. -5, 4, b Let j(i) = i**2 + 3*i + 1. Let g be j(-3). Let x be -2 + -3 + (0 - -2). Sort x, g, -4. -4, x, g Let g be 15/(-36) + 2/8. Put 2/5, -0.4, g in decreasing order. 2/5, g, -0.4 Let u(v) = -v**2 + 12*v - 15. Let z be u(10). Put 3, 9, 2, z in ascending order. 2, 3, z, 9 Suppose -r = 9*r + 50. Put -0.5, -23, r, -2/3 in descending order. -0.5, -2/3, r, -23 Suppose -2*y + 5*s = -0*s + 10, -s + 2 = -5*y. Put -5, y, -3 in increasing order. -5, -3, y Suppose 2*v - 3*v = 4*n, 4*n = 4. Let t be ((-2)/6)/((-1)/2). Sort 2/9, v, t in decreasing order. t, 2/9, v Let z = 34 + -18. Let t = z + -19. Sort t, 5, -2 in increasing order. t, -2, 5 Let n = 0.8 + -1.2. Put n, 3, -1/4 in decreasing order. 3, -1/4, n Let d be (-2)/(4 - 2)*-1. Suppose 0 = -i - 0*i + 5*i. Suppose 0 = -3*m - 3*w + 6, 5*m = -3*w - w + 13. Put i, d, m in ascending order. i, d, m Let n = -12 - -19. Let l = 14 - n. Let a = l - 7. Sort -4, -2, a in descending order. a, -2, -4 Let o be ((-32)/(-12))/((-1)/(-3)). Let c = o - 4. Put c, -4, -5 in increasing order. -5, -4, c Let t = 3 - 2.8. Let o = -0.51 + 3.51. Sort o, t, 0 in increasing order. 0, t, o Suppose 9 = 3*l - 6. Suppose -5*r - z = 1 + 20, 2*r + l*z = -13. Suppose 2*m = 1 + 1. Sort m, 2/5, r. r, 2/5, m Let a = -0.27 + 0.07. Let d = a + 0.1. Let s be -2 - (-1 - -1*1). Sort 3/4, d, s. s, d, 3/4 Let n be 3 + 2 - 6/3. Sort 1, n, 5. 1, n, 5 Let t be (2*1)/(10/(-5)). Let r = -2 - -4. Suppose -5*g = -r*g - 12. Sort t, 5, g in decreasing order. 5, g, t Let f = -12 - -14. Put 4, 0, f in decreasing order. 4, f, 0 Let d = -15.4 + 20.4. Sort d, -10, -0.2 in descending order. d, -0.2, -10 Let i be 1*(-3)/((-12)/4). Let l = 6 + -10. Sort i, l, 0. l, 0, i Let q = -0.17 + 0.07. Put 6, 3/7, 4/5, q in increasing order. q, 3/7, 4/5, 6 Let u = 98 + -95. Sort -1, u, 1, -2/19 in descending order. u, 1, -2/19, -1 Let g be ((-8)/16)/(2/80). Let q = -17 - g. Sort -2, -5, q. -5, -2, q Let g = 11 - 12. Let l = g + 1. Sort 5, l, 0.3 in descending order. 5, 0.3, l Suppose 0 = -2*y - 0*y. Suppose 30 = -f - 5*f. Sort f, y, -4 in decreasing order. y, -4, f Let h = 0.02 + -2.02. Let x = 2 + h. Let y = 1.3 + -0.3. Sort -2/7, y, x in decreasing order. y, x, -2/7 Suppose 0 = -8*w - 11 - 13. Put -0.1, w, 2/7 in increasing order. w, -0.1, 2/7 Let m be 1/(-2) - 63/(-14). Suppose -6*c + 2*c - 20 = 0. Let h(y) = -y + 2. Let p be h(3). Sort c, p, m in decreasing order. m, p, c Suppose -5*o + 56 = -4*x, o + 5*x + 4 = 2*x. Suppose 2*j - 6*j - o = 0. Sort 3, -1, j. j, -1, 3 Let j = -4 - -1. Let c be (6 - 8)/(-1 - 0). Suppose 5*t + 20 = -0. Put j, c, t in decreasing order. c, j, t Suppose -l = -6*l - 25. Sort 10, l, -4 in ascending order. l, -4, 10 Let o be 78/18 + (-1)/3. Suppose -i = 4*i - 20. Suppose 0 = c - 6*c + i*w - 33, -2 = -w. Put 0, o, c in descending order. o, 0, c Let c(i) = -i**3 + 11*i**2 - 12*i + 22. Let x be c(10). Put 0, -2, x, -17 in increasing order. -17, -2, 0, x Suppose 3*l + 4*k - 6 = 3*k, -k = 2*l - 5. Let y(d) = d**2 + 2*d + 1. Let z be y(-1). Let i = -2 + 1. Put z, l, i in decreasing order. l, z, i Let k = 1.6 - 3.6. Sort 0.5, k, 3 in ascending order. k, 0.5, 3 Let j(y) = -y**2 + y - 1. Let t be j(1). Put 2, t, -5 in increasing order. -5, t, 2 Let v = 1 - 2. Let f = 5 + v. Let g = 2 - 3. Sort 2, g, f in descending order. f, 2, g Let p = -12 + 14. Sort -2, p, -1. -2, -1, p Let s(p) = -2*p**2 - p. Let r be s(-1). Let g be (-4 + 5)*12/(-4*1). Put r, 2, g in descending order. 2, r, g Suppose -46 - 74 = -24*r. Let q be (0 + 2/4)*10. Let d be q/(-2)*6/20. Sort r, -3, d in ascending order. -3, d, r Let i = -0.4 + 0.68. Let u = i + 0.02. Put -2/3, u, 2 in descending order. 2, u, -2/3 Suppose -a - 3*p + 4*p = -13, -4*a = 4*p - 76. Let g = -17 + a. Put 4, 2, g in descending order. 4, 2, g Let d = -0.22 - -0.72. Sort -0.4, 5, d in descending order. 5, d, -0.4 Let u = -76 + 72. Sort 3, 1, u, 5 in ascending order. u, 1, 3, 5 Let z be (-2)/(-4)*0/2. Let k = -6 + 11. Let a = 6 - k. Put a, z, 5 in increasing order. z, a, 5 Suppose -7*s + 4*s - 15 = 0. Let a = 3.8 - -1.2. Let o = a - 4.6. Put s, o, -0.4 in increasing order. s, -0.4, o Let l = 0 + -0.2. Let u = 0.35 - -0.05. Let h = 0.6 - u. Put h, l, 5 in descending order. 5, h, l Let f = 10 + -10.2. Let l = -0.7 - f. Put -1/6, l, 13 in ascending order. l, -1/6, 13 Let s = 56 - 58. Put 0.3, -0.4, s, 1 in decreasing order. 1, 0.3, -0.4, s Let n be (-75)/18 - 16/(-4). Sort n, -5/4, -2/11 in decreasing order. n, -2/11, -5/4 Suppose -4*a + 9 = 25. Let h(w) = -w**3 + 2*w**2 + 2*w + 1. Let j be h(0). Put j, -0.1, a in ascending order. a, -0.1, j Let k be (-4)/10 + 32/(-20). Let u be ((-5)/3)/(6/(-9)). Sort 3, k, u in increasing order. k, u, 3 Suppose -5*k - 46 = -56. Sort -4, -3, 5, k in ascending order. -4, -3, k, 5 Let r = 5 - 7. Sort 13, -5, 1, r in decreasing order. 13, 1, r, -5 Let l be ((-6)/(-9))/(12/(-54)). Sort 0, 3, 5, l in decreasing order. 5, 3, 0, l Let a = 0 - -2. Let q = -2586/7 - -370. Let z = -0.018 - -0.118. Sort q, z, a in decreasing order. a, q, z Let u = 3/16 + -5/112. Put -6, u, 4/7 in increasing order. -6, u, 4/7 Let b = -3 + 4. Let c be 11 + (b - 0) + 0. Suppose 4*x = 3*x + 3*n - 4, -3*x - n - c = 0. Sort -0.2, -3/4, x in decreasing order. -0.2, -3/4, x Let k = -13 - -9. Sort k, -5, 4 in ascending order. -5, k, 4 Suppose -5 = -2*d + 3*q, -5*d + 4*d = -3*q - 7. Sort 0.06, d, -0.3. d, -0.3, 0.06 Suppose -3*g = g + 8. Let u = g - -5. Let d = -3 - -4. Put u, d, 2 in descending order. u, 2, d Let c = -4 - -3.7. Let v = c + 0. Put 0.4, 5/4, v in ascending order. v, 0.4, 5/4 Let p(m) = m**3 - 2*m**2 + 2*m + 2. Let y be p(2). Suppose 5*i + 0*i - 60 = 0. Suppose -y*f = -3*f + i. Put f, -2, 5 in increasing order. f, -2, 5 Suppose -l + 20 = l. Suppose d - 5 = -l. Put -2
{ "pile_set_name": "DM Mathematics" }
vative of i(a). Calculate c(7). 0 Let u(o) = 2*o - 4. Let y(s) = -2*s - 1. Suppose 5*q - 4*t = 1 - 0, q - 4 = -3*t. Let g(f) = q*u(f) + 3*y(f). What is g(-7)? 21 Let a = -14 + 33. Let x(f) = 103*f**2 - 14*f + 8. Let y(g) = 86*g**2 - 15*g + 9. Let d(h) = 5*x(h) - 6*y(h). Determine d(a). 5 Let r(k) be the second derivative of -k**3/2 - k**2 + 12029*k. Calculate r(2). -8 Suppose -38*u - 151 - 35 = -7*u. Let s be (-7)/(-9) + 6/27. Let k(d) = 1 + 3*d + s - d. Give k(u). -10 Let u(s) = -38 - 603*s**2 + 20*s + 606*s**2 + 3*s. Calculate u(-9). -2 Suppose 0*q + 4*q - 12 = 0. Suppose 10 + 14 = -q*p. Let a(g) = g**3 + 7*g**2 - 10*g - 12. Let x be a(p). Let u(c) = 3*c - 6. Give u(x). 6 Let g = 295 - 1408. Let n = -1119 - g. Let h(f) be the second derivative of f**3/6 - f**2 - 2*f. Determine h(n). -8 Let q(b) be the third derivative of 0*b - 2 - 1/24*b**4 + 0*b**3 + 1/30*b**5 + 1/30*b**6 + 33*b**2. Give q(1). 5 Suppose 6*p = 3*p - 4*w - 50, 15 = p - 5*w. Let g be -6*(-2)/(-4) - p. Let h(o) be the second derivative of -o**4/12 + 4*o**3/3 + 2*o**2 - o. Calculate h(g). 11 Let j(v) = -1333*v + 627*v + 308 + 721*v. Calculate j(-21). -7 Let w(z) = -z**2. Let x(d) = -2*d**2 - 10*d - 5. Let c(j) = 3*w(j) - x(j). What is c(9)? 14 Let q(b) be the third derivative of b**6/15 + b**5/60 - b**3/6 - 5*b**2 - 36*b. Let p = -23 - -22. What is q(p)? -8 Suppose -8*x + 2*w = -4*x + 48, -5*w = -3*x - 50. Let v be 26/(-26) + x/(-2*1). Suppose -28 + 8 = v*c. Let s(o) = -o**2 - 4*o - 1. Determine s(c). -6 Let r(b) = -35*b + 256. Let f(i) = -631*i - 1886. Let a be f(-3). Calculate r(a). 11 Suppose -4*r + 45*r - 246 = 0. Let k(b) = 17799*b + 3 - 17796*b - 16. What is k(r)? 5 Let z(k) be the third derivative of -k**5/60 - 5*k**4/8 + 14*k**3/3 - k**2 - 55*k. Let h(x) = -2*x**2 + 4*x + 13. Let a be h(-3). Give z(a). -6 Let d(g) = 4698 - 9*g + g**2 + 4687 - 9370. Give d(6). -3 Suppose 7*v - 10*v = 4*o + 275, -2*o = -8. Let g = 98 + v. Suppose -t + 4*l = -5*t + 16, l = -4*t + g. Let p(n) = 5*n**3 - n**2 - n. Calculate p(t). -5 Suppose -28*g = 12*g + g + 123. Let m(c) = -3*c - 19. Determine m(g). -10 Let h(j) = -j**2 - 8*j + 15. Suppose 3*x - 23 = t - 5, -5*t - 90 = 5*x. Let d be t*(3 - (-35)/(-14)). What is h(d)? 6 Let y(k) = 9 - 8*k - 8 + 5*k - 39. Let v be y(-14). Suppose 5*l = 5*s - 5, 3 = -v*s + 2*l + 5. Let p(a) = a - 3. Calculate p(s). -3 Let x(m) = -7*m + 1. Let p(s) = -35*s + 8. Let t(d) = -p(d) + 4*x(d). What is t(-2)? -18 Let y(l) = 19*l - 82. Suppose -16 = -4*t - 3*q, 278*t + 8 = 280*t + q. Give y(t). -6 Let u(l) be the second derivative of 16*l + 4/3*l**3 + 0 - 9/2*l**2. Calculate u(6). 39 Let v(u) = -u**3 + 20*u**2 + 24*u - 88. Let g be v(21). Let f(o) = o**3 + 27*o**2 + 48*o - 23. What is f(g)? 27 Let k(g) = 15*g**2 + 10*g**2 + 6*g + 15*g**2 + 15*g**2 - 54*g**2 + 9. Let r(p) = p**3 - 19*p**2 + 3*p - 63. Let a be r(19). Determine k(a). 9 Suppose -3*l = 9, -6*z + 7*z - 56 = 5*l. Let j = z - 45. Let h(f) = -f**3 - 2*f**2 + 7*f + 6. Calculate h(j). 10 Let s(y) = -2*y**3 + 15*y**2 - 5*y - 1. Let q be 8 + (5*(-7)/35)/1. Give s(q). 13 Let w(y) = 2*y + 4. Let k = 110 + -106. Suppose d + 2*q = -12, 2*d - q = -k*q - 21. Give w(d). -8 Let x(o) = 24*o**2 + 1. Let t be ((-1)/2)/((-3)/(-210)). Let g be (-48)/(-18) + t/21. What is x(g)? 25 Let x(g) be the first derivative of -g**4/4 + 7*g**3/3 - 5*g**2/2 - 8*g + 1. Suppose 23*f - 47*f + 390 = 41*f. Calculate x(f). -2 Let g = 56 - 6. Suppose -2*z - g = -14. Let c(f) = f**2 + 19*f + 20. Determine c(z). 2 Let v(d) = -7*d - 1. Suppose 10 = -2*g, 2*q - g = -3*g - 122. Let m = q + 57. What is v(m)? -8 Let t(y) = -3*y + 3. Let f(q) = q - 1. Let p = -27 + 50. Suppose -45 - p = -4*v. Let l(c) = v*f(c) + 6*t(c). Give l(-2). 3 Let s(g) be the third derivative of g**5/60 + 17*g**4/24 + 11*g**3/6 - g**2 + 159*g. Calculate s(-16). -5 Let c(p) = p**3 - 62*p**2 + 231*p + 61. Let k be c(58). Let f(z) = -z**3 + 5*z**2 + 32*z - 87. Determine f(k). 27 Let k(u) = u**2 + 11*u - 25. Suppose 5*r = -20, -109*w = -102*w - 2*r + 76. What is k(w)? -13 Let v = 486 + -98. Let s = v + -395. Let y(g) = g**3 + 6*g**2 - 10*g - 8. Give y(s). 13 Let v(r) = r**3 - 3*r**2. Let a(f) = -f - 3. Let p be a(-6). Let k be v(p). Let o(n) = -266*n + 0 - 271*n + 536*n - 2 + 3. Give o(k). 1 Let b(s) be the third derivative of s**5/60 - 5*s**4/12 - s**3 - 4068*s**2. Suppose 2*k - 11 = 11. Determine b(k). 5 Let j(a) = 30*a + 26. Let c(l) = 18*l - 1101. Let x be c(61). Calculate j(x). -64 Let p(l) be the third derivative of 0*l - 1/24*l**4 - 1/3*l**3 + 0 - 8*l**2. Let o(k) = 8*k - 14. Let s be o(1). What is p(s)? 4 Let p(i) = -2*i**2 + 1. Let l(k) = -k**3 - 2*k**2 - k + 2. Let t(c) = c**3 + 2*c**2 - 2. Let g(z) = -7*l(z) - 6*t(z). Let n(s) = g(s) + 5*p(s). Give n(7). 3 Let b(w) = w - 4. Let r(h) = h**2 + 7*h + 18. Let a be ((-1)/(-2))/(10/(-40)). Let j be r(a). Determine b(j). 4 Let v(i) be the second derivative of -i**4/12 - 11*i**3/6 + 5*i**2/2 + i - 7. Determine v(-10). 15 Let n(f) = -16*f + 127. Suppose 13*h = 17*h - c - 34, 0 = -h + 3*c + 14. Let p be n(h). Let s(q) = -7*q**3 + q**2 - 1. What is s(p)? 7 Let v be (-2)/30 + (17 - 4/((-60)/(-209))). Let y(k) be the third derivative of -22*k**2 + 0*k - 1/2*k**v + 1/60*k**5 + 0 + 0*k**4. Calculate y(-4). 13 Let i(p) = -69*p + 174*p - 58*p - 32 - 49*p. Give i(21). -74 Let j(a) = 21*a + 264. Let f be j(-12). Let w(k) = k**3 + 5 - 8*k + f*k + 1 + 6*k**2 + 3*k - 1. Calculate w(-5). -5 Let g(c) = 2*c**2 + 3*c - 3. Let v(m) = 4*m**2 + 13*m - 15. Let i(z) = -5*g(z) + v(z). Give i(-2). -20 Suppose -3*h - h - 1 = -p, -3*h = -4*p + 4. Let o(z) = z + p - 12 - 10 + 21. Determine o(-1). -1 Let q(n) = 53*n - 149. Let y(h) = 19*h - 74. Let s(b) = 3*q(b) - 7*y(b). What is s(-3)? -7 Let r(q) be the first derivative of -147 - 1/2*q**2 - 2*q. Calculate r(7). -9 Let c(w) = w**2 + w + 3. Suppose 0 = p - 3*p - 82. Suppose -a + 5*t = 59, 5*a + 208 = -t - 3*t. Let m = a - p. Calculate c(m). 9 Let p = 8185 + -8179. Let u(v) = 2*v**2 - 13*v + 11. Determine u(p). 5 Let u(t) = -t**3 + 4*t**2 - 5*t + 14. Suppose -81 - 185 - 218 = -121*f. Determine u(f). -6 Let d be (0 + 4)/((-1)/(6 + -7)). Let u(z) be the first derivative of -3/2*z**2 - 3 + 1/4*z**4 - z - 4/3*z**3. Determine u(d). -13 Suppose -12 = -17*q + 21*q. Let w(k) = 6*k. Let l(a) be the second derivative of a**3/6 - 2*a. Let v(o) = 28*l(o) - 4*w(o). Give v(q). -12 Let a(t) = -42*t + 23. Let h(o) = -o**2 + 18*o + 117. Let u be h(-5). Calculate a(u). -61 Let q(o) = 35*o**3 + 26*o**2 + 96*o - 5. Let c(a) = -17*a**3 - 11*a**2 - 41*a + 2. Let u(p) = -7*c(p) - 3*q(p). Let y be (-3)/3*2/(-2). What is u(y)? 13 Let n = -121 - -124. Let g be 2 + 3 - (1 - -1). Let h(y) = -2*y**2 + 5 + y**2 + g*y + 0*y**2 - 2. Calculate h(n). 3 Let n(k) = -k**3 - 8*k**2 + k + 2. Let h = -3 - 111. Let f = h + 106. Calculate n(f). -6 Suppose -4*p - 20 + 0 = 0. Let v(i) be the second derivative of i**4/12 + 2*i**3/3 - 2*i**2 - 9572*i. What is v(p)? 1 Let x be 2*(54/(-4))/3. Let v be (9 + (-125)/3)*-3. Let q(g) = g - v - 87 + 292 - 91. Determine q(x). 7 Let n(w) = -24*w - 203. Let h(c) = -66*c - 510. Let f(u) = 5*h(u) - 12*n(u). What is f(-3)? 12 Let o(q) = -794 + 4*q - 790 + 2385 - 793 - q**2. What is o(9)? -37 Let j(y) be the first derivative of -y**4/4 + 7*y**3/3 - 9*y**2/2 + 2*y - 1545. Determine j(6). -16 Suppose 7*g - 98*g = 182. Let x(k) = -72*k + 3. What is x(g)? 147 Let z(n) be the second derivative of 52*n + 0 + n**2 + 4/3*n**3. Determine z(3). 26 Let w(b) = 2*b**2 + b - 49. Suppose 780*g + 10 = 782*g, -g = -v - 5. Determine w(v). -49 Let b = -133 + 140. Let d(c) = 5*c + 4. Let y(l) = 9*l + 7. Let v(n) = b*d(n) - 4*y(n). Calculate v(3). -3 Let x = -255084 - -255071. Let a(m) = -4 - 21 - m + 0*m. Determine a(x). -12 Let q(i) = -5*i**2 - 64*i - 24. Let m(y) = y**2 + 18*y + 7. Let s(p) = -4*m(p) - q(p). Let u be 6 - (2 + -2*1). Determine s(u). -16 Let y = -2 - -2. Suppose y*q = -q. Let p(o) be the first derivative of o**2/2 + 7*o + 1840. Calculate p(q). 7 Suppose -2*p + 11 = -4*j - 3*p, -15 = 5*p. Let n = j - -4. Let k(m) = 1 + n - m**2 + 7*m + 2*m**2. Determine k(-6). -3 Let x(m) = 10703 + 2*m + 10633 - 21258. Give x(-37). 4 Suppose 1555*l + 171 = 1574*l. Let g(n) = -n**2 + 4*n + 14. Calculate g(l). -31 Let f(u) = -108 + u**3 -
{ "pile_set_name": "DM Mathematics" }
y) be the first derivative of -1/30*y**4 - y + 4/15*y**3 + 1 - 4/5*y**2. Let d(b) be the first derivative of h(b). Factor d(l). -2*(l - 2)**2/5 Factor -36/7*k - 12/7 + 3*k**2. 3*(k - 2)*(7*k + 2)/7 Let q(w) = 14*w**3 - 28*w**2 + 16*w. Let t(o) = o**4. Let p(g) = q(g) - 2*t(g). Factor p(z). -2*z*(z - 4)*(z - 2)*(z - 1) Let 0 + 4/9*k + 2/9*k**2 = 0. Calculate k. -2, 0 Let h = 10 + -8. Let a(k) be the first derivative of -k + 5/2*k**h - k**3 - 1 + 4/5*k**5 - 5/4*k**4. Find c such that a(c) = 0. -1, 1/4, 1 Suppose -7/3*p**5 - 4*p**4 + 0 - 4/3*p + 4*p**2 + 11/3*p**3 = 0. What is p? -2, -1, 0, 2/7, 1 Suppose -7 = 4*y - 15. Let m(c) be the first derivative of -8/3*c - 8/3*c**2 - 3 - 2/3*c**5 + 4/3*c**4 + y*c**3. Let m(v) = 0. Calculate v. -1, -2/5, 1, 2 Suppose 0 = -4*m + 16. Let x(r) be the second derivative of -1/18*r**m + 1/45*r**6 + 0*r**2 + r + 0*r**3 + 0 + 0*r**5. Factor x(p). 2*p**2*(p - 1)*(p + 1)/3 Factor 36*n**3 - 2*n**2 + 2*n**5 - 38*n**3 + 6*n**4 - 4*n**4. 2*n**2*(n - 1)*(n + 1)**2 Let c(j) be the third derivative of j**7/14 - j**6/24 - 3*j**2. Find l such that c(l) = 0. 0, 1/3 Let j(l) be the second derivative of 1/3*l**3 + l**2 - 1/6*l**4 - 1/10*l**5 + 0 - 3*l. Factor j(w). -2*(w - 1)*(w + 1)**2 Let b(t) be the third derivative of t**5/30 + t**4/3 + 4*t**3/3 + 10*t**2. Factor b(i). 2*(i + 2)**2 Let t be (-63)/(-60) - (-7)/(-112)*4. Find i such that 8/5*i**2 + 0*i**3 - t*i**5 + 0 - 8/5*i**4 + 4/5*i = 0. -1, 0, 1 Let z(j) be the first derivative of 5*j**6/6 - 3*j**5 + 15*j**4/4 - 5*j**3/3 + 7. Let z(v) = 0. Calculate v. 0, 1 Let t(g) be the first derivative of 3*g**5/40 - g**4/3 - g**3/3 - 7*g**2/2 - 1. Let h(z) be the second derivative of t(z). Factor h(x). (x - 2)*(9*x + 2)/2 Let x = -41 - -46. Let u(r) be the third derivative of -1/150*r**6 + 1/30*r**4 + 1/150*r**x + 0*r - r**2 + 0 - 1/15*r**3. Let u(h) = 0. Calculate h. -1, 1/2, 1 Let t(q) = -q**3 - 7*q**2 - 8*q - 3. Let o be t(-6). Let j be (o/(-12))/((-6)/4). Factor j*h**4 - h**3 + 0*h**2 - 1/2 + h. (h - 1)**3*(h + 1)/2 Solve 8/15 + 2/15*z**2 + 8/15*z = 0. -2 Solve 139*t**2 - t**4 - 6*t**3 - 136*t**2 - 2*t**4 + 6*t = 0 for t. -2, -1, 0, 1 Let r(w) = w**2 - 2*w. Let z(p) = p. Let d(u) = -r(u) + 5*z(u). Suppose d(a) = 0. Calculate a. 0, 7 Factor 3/4*q**3 + 3/4*q**4 - 3/4*q**2 - 3/4*q**5 + 0 + 0*q. -3*q**2*(q - 1)**2*(q + 1)/4 Let a(w) be the third derivative of 0 + 1/315*w**7 + 0*w + 0*w**4 + 1/90*w**6 + 0*w**3 + w**2 + 1/90*w**5. Find n, given that a(n) = 0. -1, 0 Let b(c) = 5*c**2 + 2*c. Let o(k) = 5*k**2 + k. Let y(v) = -2*b(v) + 3*o(v). Factor y(r). r*(5*r - 1) Let q = -7 - -27. Let v be ((-12)/(-15))/(56/q). Let 6/7*h**4 + 0*h + 0 - v*h**5 + 2/7*h**2 - 6/7*h**3 = 0. What is h? 0, 1 Let x(i) be the first derivative of -i**4/42 - 4*i**3/21 - 4*i**2/7 + i + 1. Let j(c) be the first derivative of x(c). Factor j(a). -2*(a + 2)**2/7 Let x(p) = -p**2 + 10*p + 5. Let b be x(10). Suppose -21 = -5*h + 3*c - 0*c, -4*c = h + b. Factor -1/5*k**4 + 0*k - 1/5 + 0*k**h + 2/5*k**2. -(k - 1)**2*(k + 1)**2/5 Let d(p) be the third derivative of p**6/1140 - p**4/76 - 2*p**3/57 - 2*p**2. Find x such that d(x) = 0. -1, 2 Let i be -1*(-6 + 51/9). Factor -1/3*v**3 - 2/3 + i*v + 2/3*v**2. -(v - 2)*(v - 1)*(v + 1)/3 Let u be 0/((-1)/(2/(-6))). Let f(c) be the first derivative of -2/55*c**5 - 3 + 0*c**3 + 0*c**2 + 0*c**4 + u*c. Factor f(j). -2*j**4/11 Let z(i) be the second derivative of i**7/14 - 3*i**6/10 + 9*i**5/20 - i**4/4 - 12*i. Factor z(s). 3*s**2*(s - 1)**3 Let z(b) be the second derivative of -2*b**7/21 + b**6/3 - 9*b**5/20 + 7*b**4/24 - b**3/12 - 8*b. Find d such that z(d) = 0. 0, 1/2, 1 Let t(m) be the first derivative of 0*m - 2/3*m**2 + 2/15*m**5 - 2/9*m**3 + 1/3*m**4 - 1. Solve t(l) = 0. -2, -1, 0, 1 Let n(x) be the second derivative of x**6/90 + x**5/15 - 4*x + 2. Determine h so that n(h) = 0. -4, 0 Let m(a) = 4*a**2 + 10*a - 8. Let l(k) = 7*k**2 + 19*k - 16. Let w(o) = 6*l(o) - 10*m(o). Factor w(j). 2*(j - 1)*(j + 8) Let i(s) be the third derivative of -s**5/180 - s**4/4 - 9*s**3/2 + 21*s**2 + 2. Determine r, given that i(r) = 0. -9 Find l, given that 45/7*l**3 + 375/7*l + 225/7*l**2 + 3/7*l**4 + 0 = 0. -5, 0 Factor 0 - 2/9*w**2 - 2/9*w. -2*w*(w + 1)/9 Let w(i) be the second derivative of 1/39*i**3 + 0 - i - 1/78*i**4 + 0*i**2. Suppose w(t) = 0. Calculate t. 0, 1 Let w = 95/3 - 31. What is q in -2/3*q**2 + 2/3 - 2/3*q**3 + w*q = 0? -1, 1 Let h(s) be the first derivative of -s**2/2 + 11*s + 8. Let u be h(9). Factor 2/5*y**3 + 2/5*y**u + 0 - 2/5*y - 2/5*y**4. -2*y*(y - 1)**2*(y + 1)/5 Let u(v) be the third derivative of v**9/7560 + v**8/1120 + v**7/420 + v**6/360 - v**4/8 + 4*v**2. Let g(h) be the second derivative of u(h). Factor g(k). 2*k*(k + 1)**3 Let s(p) be the first derivative of 2*p**5/65 - 2*p**3/13 - 2*p**2/13 - 3. Find a such that s(a) = 0. -1, 0, 2 Suppose 2*l - 3 = -2*d + 7, 2*l - 3*d = 0. Factor 24/7*b**2 + 2*b**l + 6/7*b - 4/7. 2*(b + 1)**2*(7*b - 2)/7 Factor 3/4*y**3 + y**2 + 0 - y. y*(y + 2)*(3*y - 2)/4 Let n(k) be the third derivative of k**7/120 - k**6/16 + 43*k**5/240 - k**4/4 + k**3/6 - 2*k**2. Determine g, given that n(g) = 0. 2/7, 1, 2 Let o(d) be the second derivative of 0 + 3/130*d**5 + 1/78*d**4 - 1/195*d**6 + 0*d**2 - 1/91*d**7 + 0*d**3 + 9*d. Determine r, given that o(r) = 0. -1, -1/3, 0, 1 Let g(a) be the third derivative of a**6/120 + 3*a**5/20 + 3*a**2. Let r(j) = -2*j**3 - 22*j**2. Let n(w) = 12*g(w) + 5*r(w). Factor n(i). 2*i**2*(i - 1) Factor 4*n + 4*n - 5 - 5*n**2 + 2*n. -5*(n - 1)**2 Let v(s) = s**2 - 3. Let l = -7 - -2. Let i be 47/l - 4/(-10). Let r(o) = 5*o**2 - o - 13. Let p(f) = i*v(f) + 2*r(f). Find w such that p(w) = 0. 1 Let g(w) = -w**2 + 6*w + 4. Let p be g(6). Let u = -3 - -5. Factor x**3 + u*x + 0*x**3 + 2*x**2 - 2*x**p - 3*x**3. -2*x*(x - 1)*(x + 1)**2 Solve 47*s**5 + 21*s - 765*s**3 - 62*s**5 + 140*s**4 + 325*s**3 - 320 + 59*s + 480*s**2 = 0 for s. -2/3, 2, 4 Let y(l) = -2*l**3 + 7*l**2 + 5*l - 2. Let s be y(-1). Factor -1/5*v**3 + 1/5*v**5 + 0 + 0*v**s + 0*v**4 + 0*v. v**3*(v - 1)*(v + 1)/5 Let j(g) = g - 1. Let o be j(2). Determine d, given that 3*d**2 + o + d**3 + 2*d**3 - 1 = 0. -1, 0 Factor -4*d**5 - 6*d + 146*d**4 - 134*d**4 + 12*d**5 - 2*d**3 - 11*d**2 - 1. (d - 1)*(d + 1)*(2*d + 1)**3 Let g(l) be the second derivative of l**7/70 - l**6/20 + l**4/4 - l**3/2 - 7*l**2/2 - 7*l. Let v(b) be the first derivative of g(b). Factor v(d). 3*(d - 1)**3*(d + 1) Let c(i) be the second derivative of 2*i + 3/2*i**2 - 4/3*i**3 + 0 - 1/6*i**5 - i**4. Let q(z) be the first derivative of c(z). Find f such that q(f) = 0. -2, -2/5 Let n = 15 - 11. Let t(z) be the first derivative of 0*z - 2/5*z**5 + 2/3*z**3 - 1/2*z**n - 1 + z**2. Factor t(j). -2*j*(j - 1)*(j + 1)**2 Factor -5/4*h**4 + 0 - 5/4*h**5 + 0*h**2 + 5/2*h**3 + 0*h. -5*h**3*(h - 1)*(h + 2)/4 Suppose 0 = -5*r - 3*o - 5, r - o + 5 = 6*r. Let p(q) be the first derivative of 1/2*q**2 + 1/20*q**4 + 2/5*q + 4/15*q**3 + r. Factor p(g). (g + 1)**2*(g + 2)/5 Suppose r = -0*r + 2. Suppose -5*p = -4*o - 12, -5*p - 5 + 35 = 5*o. Factor -2*q + p*q + 5*q**2 + 0*q**r + q**2. 2*q*(3*q + 1) Factor 1/4*m**2 + 1 - 5/4*m. (m - 4)*(m - 1)/4 Let s(n) be the first derivative of -3*n**4/28 - n**3 - 33*n**2/14 - 15*n/7 - 9. Let s(q) = 0. What is q? -5, -1 Suppose 15*o - 2*o - 26 = 0. Let y(k) be the first derivative of 15*k**3 - 15/4*k**4 - 12*k + 0*k**o - 9*k**5 + 9/2*k**6 - 3. Factor y(p). 3*(p - 1)**3*(3*p + 2)**2 Suppose 0*b + 72 = -4*b. Let o be -4*((-69)/b + -4). Factor 2/3*h**2 - o*h + 0. 2*h*(h - 1)/3 Factor -25/3*b + 0 - 11/3*b**3 + 1/3*b**4 + 35/3*b**2. b*(b - 5)**2*(b - 1)/3 Let r(o) be the third derivative of -1/3*o**3 - 4*o**2 + 0 - 1/18*o**4 + 1/90*o**5 + 0*o. Find b, given that r(b) = 0. -1, 3 Let s = -6 - -10. Determine t, given that -4/7*t + 4/7*t**3 + 2/7*t**s + 0*t**2 - 2/7 = 0. -1, 1 Let k be (-2)/(-8) - (7 + (-27)/4). Factor k + 10/13*i**2 - 4/13*i. 2*i*(5*i - 2)/13 Let l(m) be the third derivative of m**11/997920 - m**10/453600 + m**5/15 + 7*m**2. Let y(t) be the third derivative of l(t). Solve y(x) = 0 for x. 0, 1 Let m(b) be the second derivative of 1/5*b**2 + 0 + 4*b - 1/50*b**5 - 1/30*b**4 + 1/15*b**3. Factor m(w). -2*(w - 1)*(w + 1)**2/5 Let u(c) be the first derivative of 10 - c**2 + 0*c -
{ "pile_set_name": "DM Mathematics" }
/2 What is the biggest value in 4441, -1/15, -0.2? 4441 What is the biggest value in -9/13, -4, -303? -9/13 Which is the biggest value? (a) 0.07 (b) -36 (c) -5.1 (d) -0.9 a What is the fourth smallest value in -28, 3/47, 0.3, 2/7? 0.3 Which is the biggest value? (a) -4 (b) -15 (c) 2/11 (d) -53 c Which is the third biggest value? (a) 178 (b) -0.3 (c) -0.5 (d) -1 c Which is the second biggest value? (a) -9 (b) 0.3 (c) 4 (d) -25 (e) 2/203 b Which is the fourth smallest value? (a) -0.49 (b) -0.02 (c) 406 (d) 3/5 (e) -1/9 (f) 0.1 f Which is the third smallest value? (a) 6 (b) -17814 (c) 3 a Which is the third biggest value? (a) 4 (b) -4.93 (c) 0 (d) -2/9 d Which is the fifth biggest value? (a) 2/5 (b) 0.2 (c) 0.37 (d) 0.1 (e) -485 e What is the fourth biggest value in -56, -45, 6, -1? -56 Which is the biggest value? (a) -9.1 (b) -4/39 (c) -4 (d) -2 (e) -3 b Which is the fifth smallest value? (a) 32 (b) 0.19 (c) -0.1 (d) 14/31 (e) 1/4 (f) -2 d What is the fifth biggest value in -5, 3, 24, -36, 11? -36 Which is the third smallest value? (a) 0.5 (b) 0.3 (c) -36.86 a Which is the fourth biggest value? (a) 0.04 (b) 5 (c) 3 (d) 0.15 (e) 4 d What is the fifth smallest value in -2/13, -0.3, 3/4, 5, 2/3, -221? 3/4 What is the smallest value in -0.3, 186, -9, -0.1, 0.5, -0.6? -9 What is the biggest value in 687, 196, 0? 687 Which is the third biggest value? (a) -12761 (b) -3/7 (c) 1 a What is the fifth smallest value in 2/13, -36, -1.6, 1/2, 3? 3 Which is the fifth smallest value? (a) -19 (b) 0.4 (c) 5 (d) 43/2 (e) -16 d Which is the smallest value? (a) -93 (b) 0.11 (c) -6.1 (d) 1/8 (e) -5 a Which is the biggest value? (a) 16 (b) 0.1 (c) 33.078 c What is the third smallest value in 8, -0.5, 7738? 7738 Which is the fourth smallest value? (a) 3 (b) -5 (c) -29 (d) -0.1 (e) -0.08 e Which is the fifth biggest value? (a) 157 (b) 0 (c) 1/5 (d) -2/11 (e) -3 (f) -30 e What is the biggest value in 2/7, -22.8377, -1? 2/7 Which is the second biggest value? (a) 4 (b) -103 (c) 2/5 (d) -0.02 (e) -17 c What is the second smallest value in 0.3, -616, -3, 0.12, -2/3, 3/7? -3 What is the fourth smallest value in 5, -5, -1751, -230? 5 Which is the third smallest value? (a) 0.01 (b) 7 (c) -3/4 (d) -0.057 a What is the sixth smallest value in 5/3, -2/15, -1/5, 87, -2, 1/14? 87 Which is the smallest value? (a) 5 (b) -5 (c) 21 (d) 6 (e) 2/3 b Which is the third smallest value? (a) -33 (b) -2/17 (c) -82 (d) -5 (e) 2 d What is the fourth biggest value in -7, 5, -2, -11, -40/3? -11 Which is the biggest value? (a) -0.5 (b) 0.5 (c) 104/31 (d) 2/9 (e) -2/5 c What is the second biggest value in 78, -0.3, 0, -14/53? 0 What is the second smallest value in 15, -3401, -12? -12 Which is the second smallest value? (a) 65 (b) -17 (c) -1/14 (d) 7/5 c What is the sixth biggest value in -5, -0.6, -2/7, -3, 3, -2/883? -5 Which is the biggest value? (a) -1/4 (b) 1 (c) -4/17 (d) 5/2 (e) 0.9 d What is the third biggest value in -0.5, 19344, -5/4, 2? -0.5 Which is the biggest value? (a) 2 (b) 2/5 (c) -0.324 (d) -45 a Which is the smallest value? (a) -4 (b) -3.7 (c) -1.3 (d) -0.5 a Which is the fifth smallest value? (a) 2354/7 (b) -0.1 (c) -1/7 (d) 0.3 (e) -4 a What is the smallest value in -0.13, 1/4, 0.249? -0.13 What is the fifth smallest value in -4, -0.2, 11/18, -2, -3, -3.7? -0.2 What is the fourth smallest value in 0.047, 0, -2/9, -20? 0.047 Which is the sixth smallest value? (a) 1/2 (b) -23 (c) 5 (d) 6 (e) 3/13 (f) -4 d What is the fourth smallest value in 8, 0, -3/2, -0.08? 8 What is the second biggest value in -5/27, -2/27, -1/4? -5/27 Which is the biggest value? (a) -8544 (b) 2/7 (c) -5 (d) -2/13 b What is the fourth smallest value in 5, 5329, 0.2, -3? 5329 Which is the biggest value? (a) 2/17 (b) -0.1 (c) 2/23 (d) 14 (e) 0 d What is the third biggest value in -4, 0.4, 76/65, -1? -1 What is the sixth smallest value in -4, 0.061, 1, 0, -0.2, 0.015? 1 What is the third smallest value in 5, -8, 0.6, -5, -6.5, 0.1? -5 What is the third smallest value in 0.4, -2/19, 2248/9, -4, 1/6, -1/6? -2/19 What is the fourth biggest value in -4, 3/8, -210/13, 8, -0.2? -4 Which is the second biggest value? (a) -0.3 (b) -5/6 (c) 3 (d) 0.46 d What is the third biggest value in 1286, -2/15, 2, -0.13, 1/2? 1/2 What is the fourth smallest value in -0.01, -0.66, -5, -4/77? -0.01 What is the third biggest value in 1/11, 5/4, 119.5? 1/11 Which is the third smallest value? (a) -12 (b) 18 (c) 4 (d) 0.5 (e) -3/4 d Which is the second biggest value? (a) -7 (b) -64 (c) -1 (d) 0.5 (e) 462 d Which is the biggest value? (a) -113 (b) -3 (c) 1.2 c Which is the third biggest value? (a) 2 (b) 0 (c) 5 (d) -4 (e) 69960 a Which is the smallest value? (a) 3/2 (b) 104 (c) -3/155 (d) 10 (e) 1 c Which is the biggest value? (a) 0.2 (b) -17 (c) 4 (d) -13 (e) 2 c Which is the second biggest value? (a) 21 (b) 18594 (c) 1/6 a Which is the fourth smallest value? (a) 1/707 (b) 0.1 (c) 3 (d) -5 c What is the second biggest value in 17, 5, 23, 0? 17 Which is the fifth biggest value? (a) 1/7 (b) 0.03 (c) -3 (d) -795/7 (e) -4/7 d Which is the third biggest value? (a) -83 (b) -3 (c) -5 (d) -2 (e) -1/2 (f) -7 b What is the third biggest value in 4, -132, -959? -959 Which is the fourth biggest value? (a) 0.2 (b) 2/9 (c) -1 (d) 544.2 c Which is the fourth smallest value? (a) 4 (b) -13387 (c) -2 (d) 3 a What is the third smallest value in 1305.2, -4/9, 2? 1305.2 Which is the fourth smallest value? (a) -39 (b) 0.2 (c) 87.6 (d) -7/10 c Which is the biggest value? (a) 2/9 (b) -2/15 (c) 6.3158 (d) -0.4 c Which is the fifth biggest value? (a) 2/7 (b) -3/7 (c) 0.5 (d) 2/5 (e) 26/2345 b Which is the smallest value? (a) -191 (b) -1 (c) 2 (d) 1.6 (e) 0.3 (f) -2/3 a What is the fifth biggest value in -1/2, 1/21, 3/8, 2/73, -34? -34 What is the third biggest value in -1180, -0.4, 76? -1180 What is the third biggest value in 0, 19, -49, 0.1, -1, 2/3? 0.1 Which is the fourth smallest value? (a) -0.4 (b) -223 (c) 3 (d) 0.5 c Which is the biggest value? (a) 5 (b) -65 (c) 5/4 (d) -2/5 (e) -5 a What is the second smallest value in -3, 2/5, -14/29, -9/5? -9/5 Which is the second smallest value? (a) 4 (b) 1 (c) 0.5 (d) -12/23 (e) 0.57 c Which is the biggest value? (a) 0 (b) 2 (c) 15 (d) 3 (e) -112 c Which is the third biggest value? (a) 1.1 (b) -31/18 (c) 8 b Which is the biggest value? (a) -1/4 (b) -20 (c) 1.3 c Which is the smallest value? (a) 1/11 (b) 907 (c) -0.4 c Which is the second smallest value? (a) -0.051 (b) 0.3 (c) 1/3 (d) -7 (e) 4 a What is the second smallest value in -3, 1/7, -286/23? -3 Which is the second biggest value? (a) -0.41 (b) 0.162 (c) 18 b Which is the third smallest value? (a) -555 (b) 2/5 (c) 2/9 (d) 2 (e) -4 (f) -1 f Which is the second smallest value? (a) 2 (b) -26 (c) -20 (d) 1/4 c What is the second smallest value in 0.3, 0.08168, -2, 2/7? 0.08168 Which is the second smallest value? (a) 2803 (b) 0.3 (c) 2/5 c Which is the smallest value? (a) 5 (b) -160 (c) -3 (d) -16/81 b What is the biggest value in 0, 5, 3/2, -3, -59? 5 Which is the fifth smallest value? (a) -0.2 (b) -6/23 (c) 0.06 (d) -2 (e) 16 (f) -2/13 c What is the fourth biggest value in 0.15, -227, 7/4, -1? -227 What is the third smallest value in -0.4, 5/2, 0.6, 4/5, 1/10? 0.6 Which is the sixth biggest value? (a) 1 (b) 1/3 (c) 2/7 (d) 8 (e) -0.08 (f) -5 f Which is the biggest value? (a) -0.4 (b) -146 (c) -2844 a What is the third biggest value in -0.03, -5, -69, -0.1, 1/3? -0.1 Which is the fourth biggest value? (a) -6 (b) -5 (c) 49 (d) -0.7 a What is the second biggest value in 1209, -9.7, -4, 1/4, -2/3? 1/4 Which is the second biggest value? (a) -0.2 (b) 20 (c) -0.07 (d) 4 (e) -2/11 d Which is the fourth smallest value? (a) -2/3 (b) 4 (c) -2/225 (d) 2 (e) -1 d What is the second smallest value in 3, -523, -0.3, 0.4, 11, 2? -0.3 What is the smallest value in -2, 2/47, 5, 3/2, -76? -76 Which is the smallest value? (a) 0 (b) -0.05 (c) 1.4496 b What is the third biggest value in
{ "pile_set_name": "DM Mathematics" }
9? -1808 What is the next term in -1305, -1301, -1297, -1293, -1289, -1285? -1281 What is next in 12, 23, 28, 21, -4, -53? -132 What is the next term in -4, 2, 10, 20, 32, 46, 62? 80 What is next in -26, -141, -322, -563, -858, -1201? -1586 What comes next: -19, -7, 7, 23, 41, 61? 83 What comes next: -1930, -1943, -1970, -2017, -2090? -2195 What is next in 1197, 1203, 1211, 1221, 1233, 1247? 1263 What is the next term in -1, -2, 5, 26, 67? 134 What is next in -21, -37, -53, -69, -85? -101 What is next in -6, -7, 2, 27, 74, 149? 258 What comes next: 525, 2069, 4641, 8241? 12869 What is next in 211, 212, 215, 220? 227 What is next in -161, -352, -531, -692, -829, -936? -1007 What comes next: 4384, 4385, 4386, 4387, 4388, 4389? 4390 What is next in 24, 21, 18, 15? 12 What comes next: -120, -238, -356, -474, -592, -710? -828 What is next in -111, -128, -155, -198, -263, -356? -483 What comes next: -4, -6, -8, -10, -12? -14 What comes next: -108, -193, -278? -363 What is next in -7, 7, 37, 83? 145 What is next in -1890, -1891, -1892, -1893, -1894, -1895? -1896 What is next in -516, -499, -462, -399, -304, -171? 6 What comes next: 8351, 16703, 25055, 33407? 41759 What comes next: -342, -318, -248, -108, 126, 478, 972? 1632 What comes next: 25, 50, 75? 100 What is next in 36, 22, -2, -36, -80? -134 What comes next: 10552, 10550, 10548, 10546, 10544? 10542 What comes next: 205, 420, 635? 850 What is the next term in -1949, -3888, -5829, -7772, -9717? -11664 What is next in -149, -148, -139, -116, -73, -4, 97? 236 What is next in -342, -690, -1038, -1386? -1734 What is next in -52, -49, -44, -37, -28, -17, -4? 11 What comes next: -1142, -2275, -3404, -4529, -5650, -6767, -7880? -8989 What is the next term in -27, -58, -95, -138, -187? -242 What is next in -10400, -10398, -10394, -10388? -10380 What is next in 329, 663, 997, 1331, 1665, 1999? 2333 What is the next term in -101, -102, -103, -104, -105, -106? -107 What is the next term in -115, -236, -353, -466, -575, -680, -781? -878 What is the next term in -636, -638, -640? -642 What is next in -3966, -3969, -3972, -3975? -3978 What comes next: -853, -853, -851, -847, -841? -833 What is next in 98, 110, 144, 212, 326, 498? 740 What is next in 2408, 4816, 7224? 9632 What is next in -9275, -18547, -27819, -37091? -46363 What is the next term in 27, 49, 69, 87, 103, 117, 129? 139 What is next in 177, 355, 531, 705? 877 What is the next term in 70, 75, 70, 49, 6? -65 What is the next term in 0, 5, 16, 33? 56 What is the next term in 73, 166, 265, 376, 505, 658, 841? 1060 What comes next: -58, -61, -64, -67, -70, -73? -76 What is next in -37, -85, -133, -181, -229? -277 What comes next: 380, 381, 382, 383, 384? 385 What comes next: -305, -610, -915? -1220 What is the next term in -9767, -9768, -9769, -9770, -9771? -9772 What is the next term in 91, 180, 269, 358? 447 What is the next term in -313, -307, -297, -283? -265 What comes next: -33, -69, -105, -141, -177, -213? -249 What comes next: -5, 11, 41, 91, 167, 275? 421 What comes next: -102, -199, -296, -393, -490? -587 What comes next: -89, -167, -257, -365, -497? -659 What is the next term in 582, 578, 572, 564, 554, 542, 528? 512 What is the next term in 130, 196, 262? 328 What comes next: 256, 503, 750? 997 What is the next term in -66, -90, -160, -300, -534, -886? -1380 What comes next: -3843, -3841, -3839, -3837? -3835 What is next in -221, -859, -1931, -3443, -5401? -7811 What is next in 425, 432, 439, 446, 453? 460 What comes next: -1684, -3369, -5054? -6739 What is the next term in 28, 71, 128, 205, 308, 443, 616, 833? 1100 What is next in -221, -227, -237, -251, -269, -291, -317? -347 What comes next: 50, 75, 96, 113, 126? 135 What is the next term in 23, 38, 57, 80? 107 What is the next term in -81, -186, -291, -396? -501 What is next in -48, -40, -32? -24 What is next in 11, 51, 155, 353, 675, 1151, 1811? 2685 What is next in -9, -42, -105, -204, -345? -534 What comes next: -102, -104, -104, -102, -98, -92, -84? -74 What is next in 155, 309, 463? 617 What comes next: 736, 747, 772, 817, 888? 991 What comes next: -37, -36, -35, -34, -33, -32? -31 What is the next term in 71, 67, 63, 59, 55, 51? 47 What is next in 104, 208, 310, 410, 508, 604? 698 What is next in 10, 22, 40, 64, 94, 130, 172? 220 What is the next term in 4626, 4627, 4628, 4629, 4630, 4631? 4632 What is the next term in 49, 34, 17, -2, -23? -46 What is next in 12835, 12832, 12819, 12790, 12739, 12660, 12547? 12394 What is the next term in -311, -511, -711, -911? -1111 What is the next term in -111, -132, -151, -168, -183, -196? -207 What comes next: -12, -35, -72, -123, -188, -267? -360 What is the next term in 1348, 1356, 1366, 1378, 1392, 1408? 1426 What is next in 38, 117, 250, 437, 678, 973, 1322? 1725 What is next in -9, -43, -93, -153, -217, -279, -333, -373? -393 What comes next: 35, 44, 53, 62, 71? 80 What is the next term in 70, 103, 134, 163, 190, 215? 238 What is the next term in 23, 6, -35, -112, -237, -422? -679 What comes next: 25, 154, 369, 670, 1057, 1530, 2089? 2734 What is the next term in 3, 44, 107, 186, 275, 368? 459 What comes next: -133, -128, -111, -76, -17, 72, 197, 364? 579 What is next in -1039, -1053, -1091, -1165, -1287, -1469, -1723? -2061 What is next in 27, 59, 89, 117, 143, 167? 189 What is the next term in -79, -153, -231, -313? -399 What is the next term in 3, 4, 5, 6, 7? 8 What is next in 36, 132, 302, 558, 912? 1376 What is next in 60, 70, 84, 102? 124 What comes next: -81, -163, -245, -327? -409 What is the next term in 28, 97, 222, 409, 664? 993 What comes next: -5478, -5472, -5456, -5424, -5370, -5288? -5172 What is the next term in 816, 819, 826, 837, 852? 871 What is the next term in 100, 199, 300, 403? 508 What is the next term in 12, 22, 32, 42? 52 What is the next term in -29, -39, -61, -101, -165? -259 What is the next term in 682, 685, 696, 721, 766, 837, 940? 1081 What is next in -14, -15, -16? -17 What is the next term in -2385, -2387, -2389? -2391 What comes next: -336, -322, -306, -288, -268, -246, -222? -196 What comes next: 8495, 8496, 8497, 8498, 8499? 8500 What comes next: -254, -506, -758, -1010, -1262? -1514 What is next in -64, -265, -600, -1069, -1672, -2409? -3280 What is next in 83, 2, -79, -160, -241, -322? -403 What comes next: -9, 7, 41, 99, 187? 311 What comes next: 77, 85, 93? 101 What is next in 33996, 33989, 33970, 33933, 33872, 33781, 33654? 33485 What comes next: 13, 100, 333, 784, 1525, 2628, 4165, 6208? 8829 What comes next: -500, -505, -520, -551, -604, -685, -800? -955 What is next in -9983, -9989, -9997, -10007, -10019, -10033, -10049? -10067 What comes next: -674, -1348, -2022, -2696, -3370, -4044? -4718 What is the next term in 233, 234, 235, 236, 237, 238? 239 What is the next term in 677, 675, 673, 671, 669, 667? 665 What is next in 431, 417, 381, 311, 195? 21 What is the next term in -32, -40, -48, -56? -64 What is the next term in 215, 439, 663, 887, 1111, 1335? 1559 What is the next term in -39, -175, -429, -825, -1387, -2139, -3105? -4309 What is next in 140, 287, 454, 653, 896, 1195? 1562 What is the next term in 6, -17, -54, -105? -170 What comes next: 51, 94, 137, 180? 223 What is the next term in -110, -208, -282, -320, -310, -240? -98 What is next in 5, 31, 79, 149, 241, 355? 491 What is next in -487, -488, -489, -490? -491 What is next in 0, -16, -44, -84, -136, -200? -276 What comes next: 35, 69, 103, 137, 171? 205 What is next in 19, 30, 41, 52, 63? 74 What comes next: -9, -3, -9, -33, -81, -159, -273? -429 What comes next: -77, -85, -93, -101? -109 What is next in -35, -97, -217, -419, -727, -1165, -1757? -2527 What is next in 8, -5, -26, -55, -92, -137? -190 What comes next: 683, 1363, 2041, 2717? 3391 What comes next: 366, 351, 336, 321, 306? 291 What comes next: -65, -66, -67, -68? -69 What comes next: -28, -36, -44, -52, -60? -68 What is the next term in -164, -335, -490, -623, -728, -799? -830 What comes next: 463, 905, 1347, 1789, 2231, 2673? 3115 What is next in -128, -131, -134, -137, -140, -143? -146 What is next in 133, 129, 123, 115, 105? 93 What is the next term in 21, 33, 45, 57, 69? 81 What comes next: 8, 32, 74, 134? 212 What is the next term in 102, 90, 56, -12, -126,
{ "pile_set_name": "DM Mathematics" }
sqrt(6)))*2 - 4*(sqrt(3) + sqrt(30)/(sqrt(30)/sqrt(3))))**2. 270*sqrt(3) + 54433 Simplify (1*(3 + -2*sqrt(171) + -5 - ((-1 + sqrt(931))*6 + (sqrt(931) - ((6*sqrt(931)*-2 - sqrt(931)) + sqrt(931)) - sqrt(931)))))**2. -1056*sqrt(19) + 331072 Simplify (sqrt(1216) - (1*sqrt(1216) - sqrt(1216))) + -2 + -5*(0 + sqrt(1216)) - (sqrt(608)*-2)/((sqrt(20)*-1)/sqrt(10))*4. -64*sqrt(19) - 2 Simplify ((sqrt(143) - 3*sqrt(143)*1 - 2*sqrt(143)*4)*2)/((sqrt(121)*1*-3)/(sqrt(55)/(sqrt(5) - ((sqrt(5) - sqrt(80)) + sqrt(5) - sqrt(5)))))*2. 10*sqrt(13)/3 Simplify -1 + 4*(2*((sqrt(684) - sqrt(684)*2) + 4 - sqrt(684))**2 + (sqrt(684) + 1 + 2 - sqrt(684) - (-1*sqrt(684) + -2))**2) + -3. -528*sqrt(19) + 24848 Simplify 5 + (0 + sqrt(396) + 0 - (1*sqrt(396) + 1))*-3 + 5 + -4 + 3 + sqrt(396)*2. 12 + 12*sqrt(11) Simplify -4 + 5 + (sqrt(4356)*1 + (sqrt(576) - sqrt(36) - sqrt(36))*5)/(2*(sqrt(1200) + -1*sqrt(1200)) - sqrt(1200)). -21*sqrt(3)/10 + 1 Simplify 4 + 5 + (sqrt(576)*2)/(sqrt(3) + (sqrt(12) - sqrt(24)/sqrt(2))) + -1 + 5. 13 + 16*sqrt(3) Simplify -2 + -3*(sqrt(1331) + 1 + 4 - (sqrt(396) + -2 + 4)). -15*sqrt(11) - 11 Simplify 1*((sqrt(378)/(sqrt(216)/sqrt(4)))/(6*sqrt(81)/(2*sqrt(9)))*3)**2. 7/9 Simplify (1*sqrt(432))**2*-4 + -4 - (sqrt(9)/(sqrt(3) - (sqrt(75) - (-3*sqrt(75) - sqrt(75)))) + 0)**2. -332545/192 Simplify (-2*(-5*((-2*sqrt(162) + sqrt(162))*2 - (1 + sqrt(162) + 0)) + 3)*-3)**2. 77760*sqrt(2) + 1314504 Simplify ((4*2*(sqrt(272) + -1) + 0)**2 + 5*(-3 + sqrt(272)*-2 + sqrt(272) + 5))*4. -2128*sqrt(17) + 69928 Simplify (sqrt(400)/(sqrt(50)/sqrt(5)) - (sqrt(160) - sqrt(40))*1)/(6*sqrt(392)*1*-4). 0 Simplify -1*(3 + sqrt(88)/(1*sqrt(72)) + (-2*(sqrt(11) + 2 - sqrt(11)) + -2)**2). -39 - sqrt(11)/3 Simplify ((6*(sqrt(216) - sqrt(216)*-2))/(sqrt(63)/(sqrt(21)/sqrt(3)) - sqrt(9) - sqrt(9)))/((sqrt(648) + sqrt(648)*2 + (sqrt(288) - sqrt(288)*-2))*-2). sqrt(3)/5 Simplify ((sqrt(2268)*1*-3 - (sqrt(2268)*-2 + 0) - (-4 + ((sqrt(2268) + 0)*-2 - sqrt(2268))))**2 + 5)*1. 288*sqrt(7) + 9093 Simplify (6*(-1 + -2*sqrt(432))*5 - (5 + (sqrt(3) - (0 + sqrt(363)) - -6*(-1 + sqrt(3)))))**2. 41528*sqrt(3) + 1538809 Simplify 2 + -1 + ((sqrt(18) - (sqrt(288)*-3 - sqrt(18)))*3)/(3*(sqrt(600) + (2*sqrt(600) - sqrt(600)) + sqrt(600))). 7*sqrt(3)/15 + 1 Simplify (sqrt(3264)*-2*-3 + sqrt(3264) + sqrt(3264))/(sqrt(3) + (2*sqrt(12))/sqrt(4) + sqrt(768))*-2. -128*sqrt(17)/19 Simplify 3 + (4*1*sqrt(1152) + sqrt(1152))/((1*sqrt(81) - sqrt(9)) + sqrt(108)/sqrt(108)) + 4 + -3. 4 + 120*sqrt(2)/7 Simplify 4*(-2*sqrt(162) + 3) + ((2*sqrt(162) - sqrt(162)) + -1 + -3)**2 + 0. -144*sqrt(2) + 190 Simplify -5*(5 + 4*(sqrt(68)*2 - sqrt(68)) + -1 + (sqrt(68) - sqrt(68)*1*4 - sqrt(68)))**2*-5. 400 Simplify 5*-2*sqrt(18) + 0 - (-6*((sqrt(72) - (sqrt(72) + 0 + 5)) + sqrt(72) + sqrt(72)))**2. -11268 + 4290*sqrt(2) Simplify 5*((4*(sqrt(80) - (1 + sqrt(80)))**2 + sqrt(25)/sqrt(45) + -4)*-4 + 3). -20*sqrt(5)/3 + 15 Simplify -3 + 6*4*((2 + sqrt(153))**2 + -4 - (sqrt(153) - (1 + sqrt(153) + sqrt(153))**2*-1))*-4. 288*sqrt(17) + 44157 Simplify 4*(-4*-5*sqrt(1539)*-1 + 0)**2*2. 4924800 Simplify (sqrt(132) - sqrt(132)*3*-6)/(sqrt(48)*-2) + sqrt(121)/(sqrt(77)/(-2*sqrt(7))) + (1 + sqrt(1584) - sqrt(132)/(sqrt(36)/sqrt(3))). 1 + 17*sqrt(11)/4 Simplify ((sqrt(42)/sqrt(6) + 5)*-6 - (1*sqrt(448) + 0))*3. -42*sqrt(7) - 90 Simplify (sqrt(3159) + sqrt(3159) + (-6*-2*sqrt(3159) - sqrt(3159)) - (sqrt(3159) + -2*sqrt(3159)*-1 - sqrt(3159)))/(4*sqrt(147)*1 - 1*sqrt(147)*2)*-2. -99*sqrt(13)/7 Simplify (1 + -1*(sqrt(117)*-6 + sqrt(52)*3) + 1*sqrt(52)/(sqrt(28)/(sqrt(7)*2 + sqrt(7) + sqrt(7))))**2. 32*sqrt(13) + 3329 Simplify ((3 + -1 + sqrt(11) + -5*sqrt(396) + ((sqrt(77) - sqrt(77)*-2 - sqrt(77) - sqrt(77) - sqrt(77))*5 + sqrt(77))/(sqrt(42)/(sqrt(24) - sqrt(6))))*-5)**2. -2800*sqrt(11) + 215700 Simplify (1*(-4 + 3*(sqrt(425) + 1) + 4 + 1*(sqrt(425) + -1 + sqrt(425)) + sqrt(425) + 5 + sqrt(425) + 0))**2. 490*sqrt(17) + 20874 Simplify 5 + (sqrt(26) - -3*sqrt(52)/sqrt(2) - ((sqrt(104) - -1*sqrt(104)) + sqrt(104)))/(-1*(sqrt(200) - sqrt(200)*-1) - sqrt(200) - sqrt(200)). sqrt(13)/20 + 5 Simplify ((sqrt(30) + (sqrt(180)/sqrt(6) + sqrt(30) + sqrt(30))*-4)*-6)/(-6*(4*sqrt(360) - sqrt(360) - sqrt(360)) + sqrt(360)) + 3. -sqrt(3) + 3 Simplify ((sqrt(352) + (sqrt(352) - -3*sqrt(352))*1)*-4)/((2*sqrt(132)*-3)/sqrt(12)). 40*sqrt(2)/3 Simplify ((sqrt(3) + 0)*3 + -1*(sqrt(3) + -2) + (2 + sqrt(3))*-6*-5 + 4 + -5)**2. 3904*sqrt(3) + 6793 Simplify (((1*sqrt(70))/sqrt(2))/(sqrt(1008)*-1 + sqrt(1008) - sqrt(1008) - sqrt(1008)) - (-5 + 2*sqrt(5) + sqrt(5) - (sqrt(35)*-1)/sqrt(7)))*-5. -25 + 485*sqrt(5)/24 Simplify ((sqrt(180) - (sqrt(180) + 6*-3*sqrt(180)))**2 + (sqrt(180) - (-2 + -3*sqrt(180)))**2 - (0 + -5 + sqrt(180) + -4))*-5. -306065 - 450*sqrt(5) Simplify -2 + sqrt(108) + (sqrt(3) - sqrt(2430)/sqrt(10)) + (((sqrt(264)*1)/sqrt(11))/(sqrt(8) + sqrt(64)/sqrt(2)))**2. -2*sqrt(3) - 5/3 Simplify -1 + ((sqrt(350) - ((sqrt(350) - -2*sqrt(350)) + sqrt(350)))/sqrt(10) + sqrt(35) - 3*sqrt(4235))/(sqrt(336)/(sqrt(192) + sqrt(192)*-2 - sqrt(192))). -1 + 140*sqrt(5) Simplify 4 + 4 + (2*sqrt(720))**2 + (sqrt(20)/(sqrt(4) + sqrt(704)/sqrt(11)))**2. 14441/5 Simplify ((3*(sqrt(400)*-2 + sqrt(400)) - (sqrt(400) - 6*1*sqrt(400)))/(sqrt(245)*-3 + (sqrt(320) - (-2*sqrt(320) - sqrt(320)))))**2. 320/121 Simplify ((((sqrt(288) + -2*sqrt(288) + sqrt(288))/sqrt(12))/(sqrt(8) - sqrt(72)*-1))**2 + (sqrt(264)/(sqrt(8)*-1))/(sqrt(77)/(-1*sqrt(7))))*5*3. 15*sqrt(3) Simplify (2 + (2 + sqrt(1792) + 4 - sqrt(1792))*-6 + 2)*4*5. -640 Simplify (sqrt(121)/(sqrt(11)*-2) + sqrt(11) + -2 + (-2*sqrt(11))**2)*4 + ((sqrt(99)*1 - sqrt(99))*3)/(sqrt(90)/(sqrt(30)/sqrt(3))). 2*sqrt(11) + 168 Simplify 6*3*(3 + 1*sqrt(252) + sqrt(252) + 4)*-3 + 4. -648*sqrt(7) - 374 Simplify 5*(-6*((-1*sqrt(78) - sqrt(78)) + sqrt(78))*-1)/(sqrt(864)*2 + sqrt(6) + -6*-2*sqrt(6)). -30*sqrt(13)/37 Simplify -3*(4 + (1*(sqrt(432) - sqrt(432)*-2)*-1*-6 + 0)**2). -419916 Simplify (1 + (5*(0 + sqrt(242) + 2) - (2*(sqrt(242) + 0) + (1 + sqrt(242))*6))*-6)**2. -9108*sqrt(2) + 78937 Simplify (6*-1*(3 + sqrt(245))*3*-4)**2 + 1. 217728*sqrt(5) + 1316737 Simplify (1*((5 + (sqrt(2) - (sqrt(2) - (sqrt(2) + 1)))**2 - sqrt(2)) + sqrt(2)) + -5*(1 + sqrt(2))*-3 + 2 + -5)*-3. -51*sqrt(2) - 60 Simplify (-4 + sqrt(192) + sqrt(192)*2 + -2 + 3*sqrt(192))**2 + (sqrt(72)*2)/(sqrt(6) - 6*1*sqrt(6))*-3. -2868*sqrt(3)/5 + 6948 Simplify ((sqrt(2156) + sqrt(2156) + (sqrt(2156) + 1)*-5)*-4 - (-1 + 0 + sqrt(2156) + -3 + sqrt(2156)*2))**2. 6048*sqrt(11) + 175212 Simplify -1*(sqrt(7) + 0 + 5 + sqrt(77)/(sqrt(11)*2))**2 + ((sqrt(560) + 3*sqrt(560))/sqrt(10))/(2*sqrt(288)). -163/4 - 44*sqrt(7)/3 Simplify (-2*((sqrt(209)*1 + sqrt(209))/sqrt(11) - sqrt(19)) + -3)**2 - 5*(sqrt(19) + -2 + sqrt(19) + 1 + 3). 2*sqrt(19) + 75 Simplify -2*(-1 + (sqrt(175) - (sqrt(175) - 3*(1 + sqrt(175))))**2 + -3 + ((1 + (sqrt(175)*1 - sqrt(175) - sqrt(175)) - sqrt(175)) + 2*sqrt(175)*-2)**2). -15762 - 60*sqrt(7) Simplify -5*2*(sqrt(2057) + sqrt(2057) + 0)**2*-1*6*-4. -1974720 Simplify (((sqrt(76) + -1*sqrt(76))*2)/(sqrt(4) - sqrt(32)/sqrt(2)) + -1 + -2 + 1)**2. 4 Simplify 5 + ((sqrt(13) + 4*-2*sqrt(13) + sqrt(13))**2 - sqrt(117)/(sqrt(45)/sqrt(5))) - ((1 + sqrt(117) + -3)**2*-1 + -2). -13*sqrt(13) + 596 Simplify (2*(sqrt(132) - -1*sqrt(132)))/(-3*(sqrt(24)/sqrt(2) + sqrt(12))) + -2 + ((sqrt(1331) + sqrt(1331)*-4)*-1)**2 + 1. -2*sqrt(11)/3 + 11978 Simplify ((-1*(sqrt(1215) + sqrt(1215)*-2) + sqrt(1215))*-6)/((sqrt(432) + 4*(sqrt(432) + sqrt(432)*-2) - sqrt(432))*2)*-5. -45*sqrt(5)/8 Simplify (sqrt(84) + (4*sqrt(84) - sqrt(84)))/sqrt(12)*-3 + -5 + (-1 + 4 + sqrt(175))**2*-1. -189 - 42*sqrt(7) Simplify (3*-5*sqrt(21)*-5*5)/(sqrt(700) + 6*-3*sqrt(700) + sqrt(700) + (sqrt(700) - (sqrt(700) + sqrt(700)*-2*3 + sqrt(700)))). -75*sqrt(3)/22 Simplify ((sqrt(160) - -2*sqrt(160))/sqrt(4))/(2*sqrt(968)) + ((sqrt(5) - -2*(sqrt(5) + 5 - sqrt(5)))**2 - sqrt(140)/sqrt(7)). 399*sqrt(5)/22 + 105 Simplify (-2*sqrt(110)*-4*1)/((sqrt(40)/sqrt(4) + sqrt(10))*2 - (sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(90)*1)))) + 0. 4*sqrt(11) Simplify ((-2*(sqrt(132) + -2*sqrt(132)) + sqrt(132))/(sqrt(150)*2))/(sqrt(18) - -2*sqrt(18)*2 - (-2*sqrt(162) + sqrt(162))/sqrt(9)). sqrt(11)/60 Simplify ((1
{ "pile_set_name": "DM Mathematics" }
16*i - 60. Suppose 5*a + 34 = 2*b - 76, 4*b + 44 = -2*a. Is 36 a factor of w(a)? True Let z(g) = 23*g**2 + 81*g - 402. Is 4 a factor of z(8)? False Is 0 - -5 - (4/(-7) + (-6141305)/707) a multiple of 83? False Suppose 20 = 4*v + 3*n + 7, 5*v - 16 = -4*n. Suppose c + v = 8. Suppose -45 = c*s - 7*s. Does 4 divide s? False Let x(r) = 6*r**2 + 7*r - 7. Let i be (-5 - -5) + 4 + 1. Let m be x(i). Suppose 48 = -5*k + m. Is 16 a factor of k? False Suppose -3*u + 4193 = 5*y, 5*u - 5*y = 7843 - 908. Does 19 divide u? False Let f = -1146 - -4618. Suppose 16*s = 12*s + f. Is 28 a factor of s? True Let b(v) = v. Let l(f) = -2*f**2 + 10*f - 3. Let s(y) = 5*b(y) - l(y). Let m = -1002 - -998. Does 11 divide s(m)? True Suppose 41*n - 8523 = 7016. Suppose 23 = 3*j + 14, -n = -4*h + 3*j. Is 59 a factor of h? False Let x = 6162 + -4609. Does 19 divide x? False Suppose 7*w + 1453 = -1928. Let i = -253 - w. Does 37 divide i? False Let p(u) = 3*u - 3. Let t(n) = -n. Suppose 21*j - 27*j = -30. Let r(o) = j*t(o) + p(o). Is r(-4) a multiple of 5? True Let q(y) = -3*y**3 - 45*y**2 - 41*y + 100. Is 15 a factor of q(-23)? False Let w be ((-16)/(-14))/(8/28). Suppose -w*v - 4 = -12. Suppose u + v*y + 292 = 3*u, 0 = -2*u + y + 296. Does 35 divide u? False Let h = -12506 + 14044. Does 8 divide h? False Does 79 divide (-153514)/34*-1 + (-8)/204*3? False Is 0/((0 - 1)*1) + 1600 a multiple of 8? True Let c(x) = 2*x**3 - 21*x**2 - 13*x + 27. Let q be c(11). Suppose -4*m = q*w - 460 - 428, w = 2*m + 186. Does 20 divide w? True Suppose 27*g = 26*g - 510. Let j = -227 - g. Is j a multiple of 27? False Let n = 536 + -753. Let m = n - -322. Is 7 a factor of m? True Suppose -14 = -r - 3*m, -5*r + r + 22 = -5*m. Is 7 a factor of -5*(8 - 50)/(10/r)? True Let u(x) = -x**2 - x + 288. Let v be u(-28). Is 32 a factor of (62 + -1 + 3)/((-39)/v)? True Suppose 2*h - 258960 = -24*h - 0*h. Is h a multiple of 8? True Let c(u) = u**3 + 18*u**2 - 16. Let l be c(-17). Let i = l - 113. Is 5 a factor of i? True Suppose -8*z + 4*z - 3*s = -3, 3*z - 12 = s. Suppose z*y = 4*y - 288. Is 6 a factor of y? True Let o = 13 + -28. Let f = 15 + o. Suppose 4*l - 440 = -f*r + 3*r, -550 = -5*l - 2*r. Is l a multiple of 22? True Let x = -2455 + 6600. Is 40 a factor of x? False Suppose -63*y = 23*y + 74*y - 1010880. Does 81 divide y? True Suppose 3*v - 2 = 10. Suppose 4*u + v*n = 4, 7*n + 6 = 4*u + 9*n. Suppose p = z + 211, p + z + u*z = 199. Is p a multiple of 16? True Let i be (-11)/((-22)/4) + -6. Let b(u) = 8*u**2 - 3*u - 8. Is b(i) a multiple of 11? True Let y(a) = -a**3 + 26*a**2 - 23*a - 50. Let z be y(25). Suppose -5*n - o + 2328 = z, 3*o + 476 = n - 2*o. Is 24 a factor of n? False Suppose 0 = -4*r - 3*c - 0*c - 570, 5*r + 718 = -c. Let l = 301 + r. Does 8 divide l? False Suppose 0 = k + k - z + 20, 0 = 2*k - 5*z + 36. Let s(d) = 2*d**2 + 15*d - 11. Let u be s(k). Does 21 divide u/(3 - (-212)/(-70))? True Let a(z) = 480*z**2 + z - 4. Is a(2) a multiple of 44? False Suppose 0 = 8*f - 36 + 692. Let q = 122 - f. Is 15 a factor of q? False Suppose -8*f + 3*f = -1155. Suppose 45 = 2*g - f. Let j = -95 + g. Is 23 a factor of j? False Let q be (-6)/(-10)*((-38)/(-1) - 3). Let f be 9/q - (-16715)/35. Suppose 0*a + 2*u + f = 4*a, -5*a + 601 = u. Is a a multiple of 30? True Let z be (6 - 2) + 3 + -3. Suppose z*h - d = -h + 1101, -446 = -2*h - d. Is h a multiple of 13? True Let s(f) = -f**2 - 11*f + 22. Let k = -55 - -43. Let r be s(k). Suppose -r*i + 8*i + 18 = 0. Is 3 a factor of i? True Let r = 909 + 341. Suppose 5*j - 2*k = 1250, 11*j - r = 6*j - 2*k. Is 22 a factor of j? False Let q = -8628 - -16234. Does 2 divide q? True Let v = 635 - 629. Suppose -11*z = 2*t - v*z - 2162, 2*z + 2148 = 2*t. Is t a multiple of 57? False Let o = 81020 + -54292. Does 104 divide o? True Suppose 2*t - 6 = 3*b, 149*b = 2*t + 151*b + 14. Let w(u) = u - 3. Let l be w(6). Does 24 divide 73/l - (t - 70/(-21))? True Let m(g) = -g**3 - 29*g**2 + 94*g - 57. Let t be m(-32). Let p(v) = 4*v**2 + 6*v + 34. Is 22 a factor of p(t)? False Let j(t) = -5*t - 46. Let h be j(-10). Suppose -4*f + 0*f = 4*v + 4, 0 = -h*f - 3*v + 1. Is 4 a factor of f? True Suppose -5*b = 3*y - 300, 5*b - 4*y = -33 + 333. Let q = b + -45. Suppose -19*k + q*k = -248. Is 13 a factor of k? False Let x(k) = -190*k**3 + k**2 - 2*k - 4. Let v be 40 + -43 + (0 - -2). Is x(v) a multiple of 21? True Suppose -2457*m + 2455*m - 3*g + 46777 = 0, -2*m + 46772 = -2*g. Does 13 divide m? True Suppose 0 = 2*s + 20*s - 5280. Suppose 58*t = 52*t + s. Is 40 a factor of t? True Suppose -16*c - i + 13303 = -11*c, -4*i + 7992 = 3*c. Suppose -58*h + 44*h = -c. Does 19 divide h? True Suppose c - 10 = -2*i, i + 2 = 4*i - 5*c. Suppose -28*j = -i*j - 1152. Is j a multiple of 12? True Let l be ((-6)/(-4))/((-16)/(-32)). Suppose l*m - 3*c = 2*c - 108, 3*c = -5*m - 180. Does 14 divide (24/m)/(1/(-42))? True Let h(y) = -19*y + 268. Let o be h(12). Let w = 176 + o. Is 18 a factor of w? True Let o be ((-116)/10)/((-20)/50). Suppose -o*n + 10*n + 57 = 0. Suppose 2*h - 383 = -4*i - n*h, -5*h = -2*i + 229. Does 6 divide i? True Let l be -28 + -4 + (-16)/(-2). Let k = l + 131. Suppose 5*d = -20, 2*r - r - 5*d - k = 0. Is r a multiple of 18? False Suppose 0 = h - 13331 - 5482. Is 60 a factor of h? False Suppose 4*d = 2*r - 10026, -58*d - 8 = -56*d. Is r a multiple of 112? False Suppose 43*x - 2*v = 38*x + 58, x = 2*v + 10. Does 9 divide (5 + 222/x)*18? True Suppose -8*r + 0*r = -0*r - 12832. Is 2 a factor of r? True Let v(z) = z**3 + 30*z**2 + 29*z + 24. Let d be v(-29). Suppose -r = 11*r + d. Is 16 a factor of 899/13 + r/13? False Let n(w) = -11*w + 35. Let l be n(4). Is 21 a factor of l/36*4*(0 + -97)? False Let n(u) = 785*u + 8151. Does 14 divide n(25)? True Suppose 91*t - 94*t = 4*o - 532, -5*o + 5*t + 665 = 0. Is o a multiple of 3? False Let f(s) = -s**2 - 2*s + 1522. Let q be f(0). Suppose -2*a + 2*h = -1038, a + 2*a = -4*h + q. Is a a multiple of 30? False Let o(r) = 2*r**3 - 3*r**2 + 3*r - 4. Let j be o(3). Let l = -31 + j. Does 10 divide ((-21)/(-6))/(l/18)? False Let i(b) = 26*b - 1. Let z be i(1). Let m be -9 + (10/5 - -13). Suppose z + 41 = m*q. Is 5 a factor of q? False Let l be (35/7)/(3/69). Let y = 245 - l. Is y a multiple of 10? True Let k = 26 + -24. Suppose s - 59 = a - 4*a, 0 = -k*s - 4*a + 122. Is 30 a factor of s? False Suppose 0 = 74*o - 997306 + 327606. Is o a multiple of 25? True Let m = -7968 - -11692. Is 98 a factor of m? True Does 142 divide ((-2)/(-5) + (-708)/(-5))*(64 + 2)? True Let x(a) = 13*a**2. Let p be x(2). Let q = 57 - p. Suppose -q*g + 7*g = 24. Does 4 divide g? True Let g(v) = -v**2 - 6*v + 56. Let z be g(6). Does 2 divide (-195)/(-52)*z/(-10)? True Suppose 4*z = -2*j + 40, -5*j + 20 = -0*j. Suppose -z*u - 4*m = -5*u - 868, -291 = -u - 3*m. Does 38 divide u? False Suppose 15340 = 3*a + 4*h, -a + 97*h + 5092 = 93*h. Is a a multiple of 7? False Suppose q - 8378 = -10*b + 11*b, -4*b - 8396 = -q. Is q a multiple of 132? False Let b(i) = 179*i**2 - 260*i - 1649. Is b(-6) a multiple of 155? True Let i be (6/(-2) - -4)/((-3)/(-12)). Suppose 2*n = i*s + 71 + 87, 405 = 5*n - 5*s. Is 13 a factor of n? False Suppose 46*i - 1298 = 36. Is (-14)/3*i/(116/(-360)) a multiple of 6? True Let k(o) = -7*o + 43. Suppose 41*a = 38*a. Let t be k(a). Suppose 324 = 3*s + 4*b, 2*s - b = t + 162. Is s a multiple of 26? True Let w be 4/(-26) - 106050/195. Let x = w - -592. Is x a multiple of 16? True Is (106776/60 - 0) + 1*10/25 a multiple of 4? True Suppose 102 - 30 = 3*h - 5*v, 4*h - 96 = -5*v. Suppose h = 3*f + 3*f. Suppose -5*c + 84 = -f*b, c - b + 3 = 19. Does 13 divide c? False Suppose -8*x - 2 = -7*x, -4*j - x = -36746. Does 116 divide j? False Let f = 342 + -331. Let j = 80 - f. Is 14 a factor of j? False Is ((-560)/(-84))/(2 - (32716/4674 + -5)) a multiple of 25? False Let p = 16564 + -12562. Does 174 divide p? True Let d = -403 - -273. Let k = -134 - d. Is 26 a factor of (-2)/k + 1565/10? False Is 94 a factor of ((-2)/(9 - 7))/((-1)/3478)? True Suppose 3*p - 176 - 13 = 0. Let m(l) = 2*l**2 - 47*l - 132. Let r be m(27). Let a = p - r. Is a a multiple of 5? False Let n be 2/9 + 15*(-10)/(-54). Suppose 4*d + j - 8 - 6 = 0, 4*d + n*j = 10. Suppose -14 = -2*l - 0*l + 2*q, -3*l = d*q. Is
{ "pile_set_name": "DM Mathematics" }
- z/(-6)*-3. Solve -8 = -a*k - 0*k for k. 2 Let z = 11 + -18. Let t(f) = -f**2 - 7*f + 13. Let r be t(z). Solve 3*b - r = 2 for b. 5 Suppose 3*n + 10 = f, 6*n - 8*n = -4*f + 70. Let t = 26 - f. Solve 0 = t*c - 4*c + 9 for c. -3 Suppose -4*v = -2*g - 3 - 3, 12 = -4*g. Suppose 2*i = -k - 4, -5*i + v - 7 = 4*k. Solve -2 = -k*y - 6 for y. -2 Let t(i) = i**2 - 10*i + 9. Let a be t(8). Let f(v) = v - 1. Let s(x) = -4*x + 10. Let d(m) = -5*f(m) - s(m). Let k be d(a). Solve p - 4 = k*p for p. -4 Suppose -8*i = -13*i + 20. Suppose -i*m + m + 18 = 0. Suppose -4*r + 1 = x - 17, 7 = r - x. Solve 4 + m = -r*b for b. -2 Let o(l) = l**3 - 16*l**2 + 16*l - 10. Let y be o(15). Let f be 12/6 - (4 - y). Solve w = -f*w - 12 for w. -3 Suppose o - 1 = l - 0*l, -24 = -3*o - 4*l. Suppose -o*c + 4 = -0*c. Solve -y - 3 + c = 0 for y. -2 Let q(o) = 4*o**2 - 59*o - 122. Let a be q(-2). Solve -a*p = -3*p + 18 for p. -2 Suppose 2*f + 3*x - 19 = 0, -3*f - 4*x = -30 + 2. Solve -f*m + 36 = -4 for m. 5 Suppose 4*r + 134 = 150. Solve -14 + 18 = r*y for y. 1 Suppose 3*p - 3*i = 66, 0 = -3*p - 3*i + 17 + 7. Suppose 5*j = 2 + 8. Solve p = j*n + 3*n for n. 3 Let q(l) = l**3 - 18*l**2 + 10. Let m be -5*6/(-15) + 1 + 15. Let u be q(m). Solve 3*w = u + 2 for w. 4 Let f be (6/9 - 4/6)/2. Solve 3*o = -f - 6 for o. -2 Let w(z) = z**3 - 4*z + 1. Let l be w(0). Let i(h) = -h**3 - 5*h**2 - 7*h - 7. Let t be i(-4). Solve 9 = -t*g - l for g. -2 Let x = 101 + -93. Solve -x = 6*w - 8*w for w. 4 Let h = 78 + -76. Suppose -3*m + 9 = -0*m. Suppose 0 = -5*g + m*a, g - 2*g + 13 = h*a. Solve 0*z - g*z - 15 = 0 for z. -5 Suppose 75 = 22*l + 31. Solve -l*r + 30 = -12*r for r. -3 Let h(p) = 2*p + 4. Let b(y) be the second derivative of y**3/6 + y**2 + 3*y. Let i(a) = -9*b(a) + 4*h(a). Let w be i(-3). Solve -w = -3*m - 4 for m. -1 Let a = 165 + -159. Solve a = 4*i + 22 for i. -4 Let h = 26 - 26. Suppose h = 3*s + 29 - 2. Let n be s*(-1)/(3/1). Solve 0 = n*t - 3 - 6 for t. 3 Let u be 6/(-3)*(14 - 16). Solve -21 + 1 = u*t for t. -5 Let s(m) = -4*m + 31. Let b be s(6). Solve b*h = 2*h + 15 for h. 3 Suppose 35 = 4*w - 53. Let b be (-46 + 44)/((-4)/6). Solve 5*o + w = -b for o. -5 Suppose -t - 4 + 18 = 0. Solve t*u + 5*u + 38 = 0 for u. -2 Suppose 3*o - 4*m = 14, 0*o = -2*o - 4*m - 4. Let h be 5/((-10)/(-8)) + (-1)/1. Suppose -o*y + 7 = h. Solve 4 - 2 = -y*v for v. -1 Let l = -84 + 92. Suppose 2*c + 0*c - l = 0. Solve -a + c = 5 for a. -1 Suppose 29*f + 15 = 44*f. Solve -3*g - f = -13 for g. 4 Suppose 0 = -7*r + 5*r + 10. Suppose r + 10 = 5*y. Let k be (1 - y)*-1 - -1. Solve t + 8 = -k*t for t. -2 Let o = 4 - 0. Solve 13 = o*z + 5 for z. 2 Let c = -61 + 26. Let q = c - -40. Solve -4*o = -9*o + q for o. 1 Suppose -u + 20 = 4*u. Let v = 5 - u. Let s = v - -9. Solve 5*y - s = 5 for y. 3 Suppose 0 = -6*l + 17 + 25. Solve l*o - 4*o = -3 for o. -1 Let j(w) = w**3 + 2*w**2 - 2*w - 2. Let v be j(-2). Suppose 0 = -h - v + 6. Solve p + 0 = h for p. 4 Let q = 65 - 63. Suppose 0 = -2*l - 3*l + 175. Suppose 3*n - l = 13. Solve 2*w = -q*w - n for w. -4 Let x = -171 + 187. Solve -14*d = -x*d for d. 0 Let o(y) = y + 7. Suppose -4*h + r = -2, -3*r - r - 8 = -4*h. Let t be o(h). Suppose -4*b - b = 2*b. Solve b = j + t - 2 for j. -5 Let p = 89 + -63. Let m(l) = -3*l - 65. Let y be m(-29). Let b = p - y. Solve t = b*t - 15 for t. 5 Let g(w) = 9*w + 23. Let v(k) = -18*k - 46. Let q(c) = -9*g(c) - 4*v(c). Let s be q(-3). Solve -n - s = 1 for n. -5 Let g(x) = 5*x**3 - 4*x**2 - 6*x - 3. Let c(f) = -11*f**3 + 9*f**2 + 11*f + 6. Let r(o) = 4*c(o) + 9*g(o). Let m be r(-3). Solve -4*j + m*j - 16 = 0 for j. -4 Let a(z) = 5*z + 14. Let k(d) = d. Let q(f) = a(f) - 4*k(f). Let s be q(-11). Solve -7 = s*x - 1 for x. -2 Suppose 2*f - 21 = 3*m, 4*m = -f - 8 + 2. Suppose 4*y = f + 34. Let c = -10 + 10. Solve z + 5 - y = c for z. 5 Suppose 15*d + 72 = 3*d. Let y be (-9)/d*10/5. Solve 0 = -5*q - y - 2 for q. -1 Let r(y) = y**2 - 7*y + 12. Suppose -16 = -3*b - 1. Let s be r(b). Solve s*k - 6*k = 0 for k. 0 Suppose 2*z - 2*p + 3*p = 102, -z + 51 = -3*p. Let r = z + -36. Solve -x - r = 2*x for x. -5 Let f be (-2)/6*((5 - 23) + -9). Solve 0 = -f*q + 13*q + 20 for q. -5 Let d(q) = -2*q + 9*q**2 - 2*q**2 + 3*q. Let o be d(-1). Suppose 0 = -8*s + 96 - 72. Solve -21 = s*y - o for y. -5 Let x = 86 - 45. Let s = -41 + x. Solve 0*l + 5*l = s for l. 0 Let w be 2*11 + (-41 - -34). Solve -27*q = -22*q + w for q. -3 Suppose 4*k = -96 + 96. Solve -4*p = 8 - k for p. -2 Let h be 0 - (13 - (-2)/(-2)). Let q be 8/6 - 8/h. Suppose -q*k = -k. Solve k*t - 2*t = 0 for t. 0 Let r = 141 + -136. Suppose r*y + 17 = 5*h + 2, -2*h + y = -5. Solve -20 = -2*i - h*i for i. 5 Let y be 1/((-21)/(-14) + -1). Let i(b) = 2*b**3 + 2*b - 1. Let g be i(1). Let c(f) = 9*f - 4. Let d be c(g). Solve y = 5*p - d for p. 5 Let y = -167 - -291. Let h = -121 + y. Solve -7 = -h*q + 8 for q. 5 Suppose -6*p = -19*p + 26. Solve p*t + 4*t + 24 = 0 for t. -4 Let h = -8 - 3. Suppose 5*l - 350 = 30*l. Let a = h - l. Solve 0 = 3*g - 4*g - a for g. -3 Let a be -2 - (16 + 0)/(-4). Suppose -c + a*c = -4*j, -5*c = -4*j. Let f(r) = -2*r - 12. Let k be f(-8). Solve -d = k - j for d. -4 Let f = 1195 - 1188. Solve f*g = 6*g - 5 for g. -5 Let k(t) = t**3 - 2*t**2 + 2. Suppose -3*l = 4 - 10. Let o be k(l). Let m be 3/o - (-3)/2. Solve -u + 4 = m*u for u. 1 Let t be 42/455*20 - (-6)/39. Solve -3*x - 17 = -t for x. -5 Let d(m) = m**3 - 6*m**2 - 8*m + 9. Suppose -3*n + 26 = 5*z, -2*z + 43 - 14 = -5*n. Let r be d(z). Solve -c = -r*c for c. 0 Let j(f) = f**3 + 11*f**2 - 24*f + 29. Let m be j(-13). Solve m*o - 13 = -1 for o. 4 Let g be -3 - (36/270 - (-874)/(-30)). Solve 16*d + g = 3*d for d. -2 Let o be (-158)/(-6) + 7/(-21). Let p = o - 26. Solve -5*v - 11 + 1 = p for v. -2 Let q = -582 + 588. Solve 9*s = 6*s - q for s. -2 Let m(u) = 2*u**3 - u**2 + 5*u - 1. Let d be m(2). Solve -c - d = -8*c for c. 3 Let x(i) = i + 3. Suppose 3*b = -5*s - 34, b + 4*s + 29 = -2*b. Let c be x(b). Let q be c/(0 + (3 - 1)). Solve q*r + 12 = -3*r for r. -4 Let a(q) be the third derivative of 4*q**2 + 0 - 1/60*q**5 - 1/6*q**3 + 0*q - 1/4*q**4. Let h be a(-5). Solve h*u + 11 = -5 for u. -4 Let f(j) = -j**3 - 4*j**2 + 3*j - 6. Let o be (10/(-15))/((-4)/6). Let u be (o/(-3))/((-2)/(-30)). Let q be f(u). Solve -p - 25 = q*p for p. -5 Suppose -2*y + 16 = 2*y. Suppose 3*i - i + h - 3 = 0, 2*i = y*h + 8. Suppose 0 = -w - 5*k + 18, 3*w - 21 = -2*k - 6. Solve -w - i = g for g. -5 Let t(g) = g + 13. Let j = -41 + 32. Let i be t(j). Suppose -5 = 4*d - 3*x, -4*d - 3 + 1 = -2*x. Solve i*o - 7 = d for o. 2 Suppose -5*o - 5*h = 10, o + 0*o = -5*h - 18. Suppose -o*d + d = -5*b + 25, 0 = 2*b + 4*d - 10. Solve 4*u + 4 = b*u for u. 4 Let z be 3 + 2/(-4)*2. Suppose -4*g + 6*g = -4. Let p = 4 + g. Solve -2 - z = -p*m for m. 2 Suppose -2*a = -5*m - 15, 13 - 4 = -3*m. Solve a = x - 7*x for x. 0 Let u(j) = 134*j + 419. Let y be u(-3). Solve 0 = 5*v - y*v - 60 for v. -5 Let c = 20 - 20. Suppose c = -4*d - 104 + 112. Solve -d*y = -3*y for y. 0 Let k = 47 + -41. Suppose -10 = 5*b, -5*b - k = 5*y - 26. Solve -q - y = q for q. -3 Let v = -1240 + 1318. Solve 5*p = -83 + v for p. -1 Suppose -35 = a - 44. Suppose -n + 4*r - 4 = 0, -6*r + a*r = -2*n + 3. Solve n*h - 5*h + 20 = 0 for h. 4 Let a be 24/(-9)*1599/(-164). Solve -25*r = -a*r - 3 for r. -3 Let x = -14 - -33. Let k = -19 + x. Solve 4 = -2*l - k*l for l. -2 Let p be (-554)/6*-1 - 10/(-15). Let q = 96 - p. Solve -4 = 4*f - q*f for f. -4 Suppose 0 = 2*n + 27 + 3. Let p be -2 + 1 - n/10*4. Solve 3 = p*v - 2 for v. 1 Suppose 5*n - 44 = -6*n. Solve 4*u + n = 2*u for u. -2 Let i(h) = h + 9. Let y be i(6). Suppose -4*v - 3*r + y = -1, -2*v + 2*r + 8 = 0. Solve v*w - 3*w = -1 for w. -1 Suppose -u - 10 = -4*k, 2*u + 3*k = 3*u + 7. Let o be (-2 + 4)*2*-1. Let v = u - o. Solve -v = -5*b - 1 for b. 1 Let k(a) be the first derivative of a**3/3 + 5*a**2 + 6*a + 32. Let t be k(-10). Solve -t = 3*v + 3 for v. -3 Let k = 230 - 223. Solve -k*a + 16 = -11*a for a. -4 Let j = -98 - -113. Let v be (-6)/(-9) - 10/j. Solve -2 = -2*b - v for b. 1 Let u = 45 + -55. Let h(y) = y**3 + 10*y**2 + 3. Let f be h(u). Solve -f*t = -0*t - 6 for t. 2 Let i(c) = -c**2 - 11*c + 13. Suppose -47 = t - 35. Let j be i(t). Solve -f = -j + 2 for f.
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of 3000767 and 2387. 77 Calculate the highest common divisor of 59094 and 227262. 294 What is the highest common factor of 1464 and 373503? 183 Calculate the highest common divisor of 104086095 and 489. 489 Calculate the greatest common divisor of 17368074 and 720. 18 What is the highest common factor of 35 and 1516705? 5 Calculate the greatest common factor of 1185 and 18111. 3 What is the highest common factor of 169244160 and 8640? 960 What is the greatest common factor of 29715137 and 251? 251 Calculate the highest common factor of 134 and 2837122. 2 What is the greatest common divisor of 45981408 and 1056? 1056 What is the greatest common factor of 111836 and 185? 1 What is the greatest common factor of 3650 and 388800? 50 Calculate the highest common divisor of 28314840 and 13800. 2760 Calculate the greatest common divisor of 9641476 and 1580. 316 What is the greatest common divisor of 26 and 291991284? 26 What is the highest common divisor of 121 and 544? 1 Calculate the greatest common factor of 16059 and 116251. 101 What is the greatest common factor of 8535095 and 10? 5 What is the highest common divisor of 1320108 and 184? 92 What is the greatest common divisor of 11785280 and 6240? 2080 What is the greatest common divisor of 240 and 82716840? 120 What is the greatest common divisor of 14960335 and 13630? 235 What is the highest common factor of 323571508 and 260? 52 What is the greatest common factor of 13817 and 3751418? 41 Calculate the highest common factor of 336 and 162672. 48 Calculate the greatest common factor of 35970501 and 21. 21 What is the greatest common divisor of 7756 and 1650040? 28 What is the greatest common factor of 496 and 48664528? 16 Calculate the greatest common factor of 105647 and 4138448. 3643 What is the highest common factor of 755727786 and 594? 594 Calculate the greatest common factor of 25136 and 33368. 8 What is the greatest common divisor of 598 and 21897863? 299 What is the greatest common factor of 5146 and 42266671? 2573 What is the greatest common factor of 44289 and 80541? 171 What is the highest common divisor of 6714379 and 202? 101 What is the greatest common factor of 152 and 19611477? 19 Calculate the highest common divisor of 714023 and 24025. 961 What is the highest common factor of 190878920 and 160? 40 Calculate the greatest common factor of 156074208 and 1312. 1312 What is the highest common divisor of 348301 and 324407? 919 What is the greatest common divisor of 66842070 and 6540? 3270 What is the greatest common divisor of 372 and 24632445? 93 Calculate the highest common divisor of 6871937 and 2005. 401 Calculate the highest common divisor of 38681 and 43663. 47 Calculate the highest common factor of 635294 and 1342814. 1474 Calculate the highest common divisor of 30921 and 8657. 11 Calculate the highest common divisor of 336 and 20227800. 24 What is the highest common factor of 20377 and 1247015? 287 What is the greatest common factor of 25573 and 789178? 239 What is the highest common factor of 4136 and 137262466? 1034 Calculate the greatest common factor of 20 and 1647663560. 20 What is the highest common factor of 7575 and 786075? 75 Calculate the greatest common divisor of 11325752 and 328. 8 What is the greatest common divisor of 1568 and 520753184? 1568 Calculate the highest common factor of 5400 and 366543900. 2700 What is the highest common factor of 357 and 22870933? 17 Calculate the greatest common divisor of 6574 and 200334. 346 What is the highest common divisor of 10182 and 188524821? 5091 What is the greatest common divisor of 9 and 402942285? 9 What is the highest common divisor of 2226939 and 8613? 957 What is the highest common divisor of 56913296 and 176? 176 What is the highest common divisor of 26419232 and 80759? 581 Calculate the highest common divisor of 14656 and 3926. 2 What is the highest common divisor of 4428510 and 138? 6 What is the highest common factor of 2808925 and 3975? 25 What is the greatest common factor of 16632 and 3756744? 72 What is the greatest common factor of 2907 and 539780481? 2907 What is the highest common divisor of 2432 and 132545216? 1216 Calculate the greatest common divisor of 10922685 and 181875. 1455 What is the highest common divisor of 17444 and 181204? 356 Calculate the greatest common factor of 340813 and 869. 11 Calculate the highest common factor of 536226306 and 154. 154 What is the highest common factor of 64312 and 416? 8 Calculate the highest common divisor of 949772 and 8512. 76 What is the highest common factor of 12078 and 44256? 6 Calculate the greatest common factor of 3311694 and 2008. 502 Calculate the greatest common divisor of 94764 and 16006. 106 Calculate the highest common divisor of 107814 and 70366. 302 What is the highest common divisor of 6 and 37431558? 6 Calculate the highest common divisor of 254679596 and 67. 67 What is the highest common divisor of 6920200 and 11200? 1400 What is the greatest common factor of 44982200 and 25? 25 What is the greatest common factor of 108 and 49132548? 108 What is the greatest common factor of 178629888 and 30? 6 Calculate the greatest common divisor of 3830266 and 755. 151 What is the highest common factor of 82661376 and 38440? 7688 What is the highest common divisor of 22421965 and 14135? 1285 What is the greatest common divisor of 4629636918 and 54? 54 What is the greatest common factor of 28116 and 46961244? 396 What is the greatest common divisor of 1936 and 555742? 22 Calculate the highest common divisor of 14043766 and 3652. 1826 Calculate the greatest common factor of 182 and 2187731. 91 What is the highest common factor of 5514 and 539277471? 2757 What is the highest common factor of 153506 and 12? 2 What is the greatest common factor of 1022 and 927538? 146 Calculate the highest common factor of 140890 and 218090. 1930 Calculate the greatest common divisor of 174 and 789869694. 174 What is the greatest common factor of 43207668 and 84? 84 What is the highest common divisor of 2538 and 203463? 423 What is the greatest common factor of 14552 and 53766002? 3638 What is the highest common factor of 2919540 and 2519039? 3743 Calculate the highest common divisor of 209061402 and 198. 66 Calculate the highest common factor of 755369766 and 90. 18 Calculate the greatest common factor of 40 and 39360280. 40 Calculate the highest common divisor of 9799 and 1061121. 41 What is the highest common divisor of 5661863 and 5924? 1481 Calculate the highest common divisor of 91 and 402383072. 91 What is the highest common divisor of 1774141 and 7792? 487 What is the greatest common divisor of 100464 and 146952? 312 What is the highest common factor of 623129 and 403? 13 Calculate the greatest common factor of 1075368336 and 2008. 2008 Calculate the greatest common factor of 14368 and 234827. 449 Calculate the greatest common divisor of 8589178 and 39. 13 Calculate the greatest common factor of 19205 and 2304186. 23 Calculate the highest common factor of 57330 and 1412866. 1274 Calculate the highest common divisor of 16809 and 27899061. 1293 What is the greatest common factor of 48 and 118934736? 48 What is the highest common factor of 8806 and 1035963? 629 Calculate the highest common factor of 38539 and 5151. 17 Calculate the highest common divisor of 1672 and 263758. 418 Calculate the greatest common factor of 37 and 3094606. 37 Calculate the highest common divisor of 29035518 and 798. 6 Calculate the greatest common divisor of 170745 and 1119. 3 Calculate the greatest common divisor of 91760214 and 39. 39 Calculate the greatest common factor of 39739 and 36221693. 811 Calculate the highest common divisor of 13560624 and 2332. 44 Calculate the greatest common factor of 42344850 and 150. 150 What is the highest common factor of 2195783 and 1251? 139 What is the highest common factor of 301476 and 108003? 777 What is the greatest common divisor of 58765 and 594251? 161 What is the highest common divisor of 66288149 and 1174? 587 What is the greatest common divisor of 420374060 and 40? 20 What is the highest common factor of 4 and 4395872? 4 Calculate the highest common factor of 14690624 and 13. 13 What is the highest common divisor of
{ "pile_set_name": "DM Mathematics" }
+ 4*k**3). -12*k**5 Expand (0 + 0 + f)*(-10*f + 13*f - f)*((-3 + 1 + 0)*(4 + 0 - 6) + 0 - 2 + 3). 10*f**2 Expand d**2 + 2*d**2 + 5*d**2 - 2*d**2 - d**2 + 2*d**2 + (-5*d + 4*d + 3*d)*(d + 0*d + 0*d) - 3*d**2 + 3*d**2 + d**2. 10*d**2 Expand (-2 + 4 + 0 + (0 - 2 + 3)*(-5 + 2 + 4))*((-n - n + n)*(3 - 5 + 4) + 6*n + 0*n - 2*n). 6*n Expand (21*f**5 - 3*f**5 + 35*f**5)*(4 - 3 + 1). 106*f**5 Expand 12*d**2 - 12*d**2 - 4*d**5 + (-2*d**3 + 2*d - 2*d)*(6*d**2 - 3*d**2 - d**2) + 2*d**5 + 2*d**4 - 2*d**4. -6*d**5 Expand (-3*g - 2*g**3 + 3*g + (g**2 + 1 - 1)*(2*g - 5*g + 2*g) + 5*g**3 - 2*g**3 - g**3)*(-10*g**2 + 18*g - 18*g). 10*g**5 Expand (-i**2 + 0*i**2 - i**2)*(2 - 3 + i - 4 - 4*i + 5*i - 3*i + (2 - 3 + 2)*(-i + 0*i - i) + 1 - 1 - i). 8*i**3 + 10*i**2 Expand ((10 - 6*x - 10)*(1 - 1 + 2) + 1 + x - 1 + (2*x - 5*x + x)*(2 + 2 - 2) + 0*x + 0*x + 2*x)*(2 - 2 + 2*x). -26*x**2 Expand (4*x**3 + 0*x**3 - 3*x**3 + 9*x**4)*(-2*x - 2*x + x). -27*x**5 - 3*x**4 Expand ((0 + 0 + 2)*(-2*l + 2*l - 2*l) - 3*l + 3*l + 2*l + (-3 + 1 - 1)*(-2*l + 2 - 2) - l - 2*l + 6*l)*(l**2 + 5*l - 5*l). 7*l**3 Expand (0*c**2 - 4*c**2 + 5*c**2)*(-10*c + 10*c - 9*c)*(2 + c - 2). -9*c**4 Expand -2*s**2 - s**2 + s**2 + (-1 + 1 + 2*s)*(s + 3*s + 0*s) - 2*s - 2*s**2 + 2*s - 2*s. 4*s**2 - 2*s Expand (y - y - 2*y + 6*y - y - y + (-4 - 2*y + 4)*(-3 + 3 + 2) - 3*y + 2*y - y)*(y - 3*y + 4*y). -8*y**2 Expand -3*r + 2*r + 2*r + 3*r - r - r + (-3 + 3 - r)*(2 + 2 - 5) + 0*r + 0*r - r + (-2 - 1 + 5)*(2*r - 3*r + 3*r) - 1 + 2*r + 1 - 2*r - 4*r + 5*r. 7*r Expand (-2 + 2 + i)*(2*i - 3*i - 2*i) - 203*i + 203*i + 6*i**2. 3*i**2 Expand (h + h - 3*h + 3*h**4)*(-4 + 1 - 2). -15*h**4 + 5*h Expand (-3*u - 2*u + 7*u)*(0*u + 4*u - 2*u) + 4*u**2 - u**2 - 1 - 2. 7*u**2 - 3 Expand (-2 - 2*l + 3*l - 1)*(7 + 0 - 1). 6*l - 18 Expand ((v**2 + 2*v**2 - v**2)*(-2*v + 4*v - 4*v) - v**3 + 3*v**2 - 3*v**2 - v**3 + 4*v**3 - v**3 - 2*v**3 + 6*v**3 - 3*v**3)*(7*v - 6*v + 8*v). -18*v**4 Expand (-4 + 4 + 4*g)*((1 - 4 + 1)*(0*g**3 - 4*g**3 + 2*g**3) - 2*g**3 - 2*g + 2*g). 8*g**4 Expand ((-1 + 3 - 1)*(-3*r - r + 2*r) + 1 - 1 - 2*r - 2 - r + 2)*(3 - 3 + r)*(3*r - 12 + 12). -15*r**3 Expand (-2*i + i + 7*i)*(5*i**2 - 5*i**2 - i**2) + (-i + 0*i - i)*(4*i**2 - 4 + 4). -14*i**3 Expand 3 - 3 + 2*p**4 + (-2*p + 3*p + 0*p)*(-p**3 + p**3 - p**3) + p**4 + 6*p**3 - 6*p**3 - 3*p**4 + 6*p**4 + 0*p**4. 5*p**4 Expand 4*p**3 + p**3 - 3*p**3 + (2 - p**2 - 2)*(5*p - 5*p - 5*p). 7*p**3 Expand (r - 2*r + 2*r)*(2*r**4 - 2*r**4 + 2*r**4 + (-3*r**2 + r**2 - r**2)*(-7*r**2 + 3*r**2 + 2*r**2)) + 5*r**5 + 3*r**5 - 4*r**5. 12*r**5 Expand (-3 - 2 + 3)*(6*v - 4*v + 3*v)*(-4 + 1 + 4). -10*v Expand (-2*d + 5*d - 2*d)*(-2 - 2 + 2) - 4*d + 6*d + 9*d + (5 + 0 - 3)*(2*d - d + 0*d) + d - 2*d + 0*d. 10*d Expand (-1 + 1 - 1)*(0*f - 6*f + f) + 0 + 2*f + 0*f - 1. 7*f - 1 Expand (4 - 4 + 5*o)*(3*o**2 - 5*o**2 + 0*o**2) + (-3*o**2 + 2*o**2 + 0*o**2)*(1 - 1 - o) + 0*o**3 + 3*o**3 - o**3. -7*o**3 Expand (3 - 3 + 1)*(-5*n - 16*n + 0*n). -21*n Expand (-1 - j + 1)*(2 - 2 + 1) + 4 - 2*j - 4 + 3*j - 4*j - j + 0*j + 4*j - 2*j. -3*j Expand (2*w + 0 + 0)*(2*w**3 - w**4 - 2*w**3) + ((-2 + w + 2)*(-3 + 2 + 0) + 4*w - 2*w - 4*w - 2*w - 2*w + w)*(4*w**4 - 7*w**4 + 0*w**4). 16*w**5 Expand 8 - 65*a**2 + a**5 + 65*a**2 + (-2 + 0 + 4)*(-2*a**5 + 3*a**5 - 3*a**5). -3*a**5 + 8 Expand (2*a**4 - a**4 - 2*a**4)*(-2*a - 1 + 1)*(2 + 0 - 3) + 0*a**3 + 0*a**3 - 5*a**5. -7*a**5 Expand (-2 + 5 + 2)*(-2 + 2 + n + (-4*n + 2*n + 0*n)*(3 + 0 - 2) - 1 - 2*n + 1 + 10*n + 37*n - 10*n). 170*n Expand a**4 - a**4 - 3*a**4 + (a**2 + 2*a**2 + a**2)*(-4*a**2 + a**2 + 4*a**2) + a**2 - a**2 + a**4 + (2*a**4 + 2*a**4 - 6*a**4)*(4 - 2 - 4). 6*a**4 Expand (-4 + 1 - 5)*(3 - 2 + 0)*(-2*i + 0 + 0). 16*i Expand (-i - 2*i**2 + i)*(3 - 3 - 3*i) + (4*i + 0*i + i)*(-4*i**2 + 3*i**2 - 2*i**2). -9*i**3 Expand (0*b + 0*b + 4*b**4)*(-3 + 4 - 2)*(2 - 3 + 4). -12*b**4 Expand (2*p - 5*p + p)*(2*p + 0*p + 0*p) + (5*p - p - 2*p)*(3*p - 2*p + 4*p). 6*p**2 Expand -3*i + 2*i + 3*i + (5*i - 5*i - 6*i)*(0 - 1 + 0) - i - i + 3*i + 2 - 2*i - 2. 7*i Expand -26*x**5 - 167*x**2 + 167*x**2 + (x - 2*x + 0*x)*(-3*x**4 + 0*x**2 + 0*x**2). -23*x**5 Expand (-1 + 0 + 0)*(0 - 1 + 0)*(2*d - 2*d + d**2). d**2 Expand (v - 2*v + 0*v)*(3 - v - 3)*(1 - 2 - 2). -3*v**2 Expand (-2*a**4 + 2*a**4 + 2*a**4)*(1 + 4 - 9). -8*a**4 Expand (7*c**2 + 30*c - 30*c)*(-5 + 2 + 5)*(-c - 5*c + 4*c). -28*c**3 Expand (-t**2 - t**2 + t**2)*(-t**2 + t**2 + t**3) + 2*t**5 + 19*t**5 + 50*t**5. 70*t**5 Expand -2*w**2 - 4*w**2 + 2*w**2 - 2*w + 0*w**2 + 5*w**2 - 3*w**2 + (4*w - 5*w + 2*w)*(-3*w - w + 2*w) - 2*w**2 + w**2 + 2*w**2 + 2*w**2 - 4*w**2 - w**2. -6*w**2 - 2*w Expand (-6823*t**3 - 5*t**4 + 6823*t**3 - 21*t)*(3*t - t - 3*t). 5*t**5 + 21*t**2 Expand (-3*m**2 + 0*m**2 + 4*m**2)*(-6 + 6 + 4*m)*(-4 + 4 + 1). 4*m**3 Expand (l + 8*l**3 - 17*l**3 - 17*l**3)*(-1 + 1 - l). 26*l**4 - l**2 Expand 10*v**2 - 10*v**2 - 19*v**5 + (v - 2*v - v)*(0*v**4 - 3*v**4 + v**4) - 2*v**5 + 3 - 3 + 11*v**4 - 11*v**4 + 3*v**5. -14*v**5 Expand (4 - u - 4)*(-4*u + 4*u - 37*u**3)*(-2*u - u + u). -74*u**5 Expand (-2*x - x + 4*x + (0 - 3 + 5)*(-x + 2*x + x))*(1 + 3 - 1)*(0 - 2 + 1). -15*x Expand c**3 - 4*c**3 + c**3 - c + (-1 - 1 + 0)*(0*c**3 + 0*c**3 + 3*c**3). -8*c**3 - c Expand -46 - q + 46 + (-3*q - 2*q + 3*q)*(6 - 6 + 4). -9*q Expand 6 - 6 - 3*p**3 + (-4*p + 4*p - p**2)*(-3*p + 5*p - 4*p) - 5*p**3 + 2*p - 2*p. -6*p**3 Expand (-2*h + h + 3*h)*(-4 + 3 + 2) + (-4 + 10 + 8)*(2*h - 1 + 1). 30*h Expand -2*x**3 - 5*x**3 + 5*x**3 + (0*x - x - x)*(-3*x**2 + 3*x**2 + 2*x**2). -6*x**3 Expand (-2 - 2 + 2)*(2 - 2 + 2*w)*(3*w**3 - 2 + 0 - 5*w**3). 8*w**4 + 8*w Expand s**3 + s**3 + 4*s**3 + (0*s**2 - 4*s**2 + 2*s**2)*(0*s - 3*s + 4*s) - s**3 - 4*s**3 + 6*s**3 - 4*s**3 + 0*s**3 + 6*s**3. 7*s**3 Expand (-6*x**4 + 2*x**4 + 2*x**4)*(0 - 4 + 3 + (-4 + 0 + 2)*(1 + 1 + 0)). 10*x**4 Expand (-2 + 2 - 2)*(-q + 0*q + 2*q + 1). -2*q - 2 Expand -15*q + 4*q**5 + 15*q + (4*q**2 - 3*q**2 - 2*q**2)*(2*q**3 - 5 + 5). 2*q**5 Expand -c + c + c + (-2 - 2 + 0)*(-2*c + 3*c + c) + 2*c - 3*c + 0*c - c + 2*c + 0*c - 2 + 2 + 2*c + (2*c - 5 + 5)*(0 + 1 + 1) - 3*c - 2*c + 6*c + 18 + 2*c - 18. 2*c Expand (-2*n**2 - 7*n**2 + n**2)*(3 - 2 + 0)*(-4*n - n + 2*n). 24*n**3 Expand (3*h**2 + 4*h**2 - 4*h**2)*(5*h + 0*h - 2*h)*(-h - 2 + 2). -9*h**4 Expand (-1 - 1 + 1)*(2*d + 0*d - 1 + 3)*(3*d - 6*d + 2*d). 2*d**2 + 2*d Expand (-6*t**3 + 2*t**3 + 3*t**3)*(-8 + 0 + 2). 6*t**3 Expand (-3 + 3 - q)*(-4 + 4 + 2)*(-13 - q**3 - 3*q**4 + 13). 6*q**5 + 2*q**4 Expand (-j**2 + j**2 + j**2)*(0*j**2 + 0*j**2 + j**3) + 0*j**2 + j**5 + 0*j**2 + (-4*j**3 + 5*j**3 - 3*j**3)*(12*j**2 + 89*j - 89*j). -22*j**5 Expand -i**2 + i**2 + i**2 + (2 + 1 - 1)*(-2 - i**2 + 2) - i**2 + 0*i**2 + 4*i**2. 2*i**2 Expand (0 + l**2 + 0)*((1 - 1 + l)*(7 + 33 - 20) - l + 4*l - 6*l). 17*l**3 Expand (-s - 1 + 1)*(-26*s**2 - 9*s**3 + 26*s**2). 9*s**4 Expand (100 - 6*d - 100)*(-1 - 1 + 1)*(6*d - 6*d + 2*d**4). 12*d**5 Expand m**3 - m**5 - m**3 + (10 + 5*m**3 - 10)*(-2*m**2 - 3*m**2 + 6*m**2). 4*m**5 Expand (-2*v - 4*v + v)*(-3*v**2 + v**2 + v**2) - 3*v + 3*v - 3*v**3. 2*v**3 Expand (-160 - 70*o**2 + 160)*(-3*o - o + 3*o). 70*o**3 Expand (y + 3*y - 2*y - y + 0 + 0 + (y - y + y)*(1 - 1 + 2))*(-y**2 + 0*y**2 + 0*y**2) + 0*y**3 - 2*y**3 - y**3. -6*y**3 Expand (-9*z - 5*z**4 + 9*z)*(-2 + 5 - 3*z + 5*z). -10*z**5 - 15*z**4 Expand (2*f - 4*f + 0*f)*(-9*f + 9*f - 6*f**2). 12*f**3 Expand (-5 + 4 - 1)*(2*u + 2*u - 3*u) + 11 - 9 - 7*u + 2*u. -7*u + 2 Expand (-18 + 18 + 12*t)*(-2 + 2 + 1). 12*t Expand (1 - 1 + 3*m)*(4 - 6 + 3)*(-4*m**2 + 0*m**2 + 6*m**2 + (m + 0*m - 2*m)*(-m + 2*m + m) - 2*m**2 + 1 - 1 + 0*m**2 - 3*m**2 + m**2). -12*m**3 Expand (r - 2 - 5 + 6 + (0 - 1 + 2)*(-4*r + r + r))*(2 - 2 - 3*r). 3*r**2 + 3*r Expand 3*a**4 + 0*a**4 - 4*a**4 + (0 + 5 - 4)*(a**4 - 2*a + 2*a)*(-17 + 7 + 6 - 6 + 2 + 2 + (-2 - 1 + 2)*(-2 + 2 + 1)). -8*a**4 Expand (-2*r - 5*r + 5*r)*(-3 + 3 + r**3) - r**4 - 2*r**4 + 2*r**4 + (2 + 0 + 0)*(-r**4 - 10*r**2 + 10*r**2). -5*r**4 Expand (-2*f - 2*f + 3*f)*(0 + 10 - 46). 36*f Expand (-2*b**2 + b**2 - 2*b**2)*(-92*b + 38*b + 33*b). 63*b**3 Expand (4*l**2 + 8*l**3 - 4*l**2)*(3 + 0 - 5 - 1 - 2 + 1 + (-3 + 2 + 2)*(0 - 1 - 1) + 0 + 3 - 5 + 0 + 0 + 1 + 2 + 0 + 0). -40*l**3 Expand (x**4 +
{ "pile_set_name": "DM Mathematics" }
z) = 0*z**3 + 2*z + 2*z**3 + 17*z**2 + 5*z + 69 - 62. Let u(b) = c(b) - 3*f(b). Is u(9) a composite number? False Suppose 0 = 2*k - 5*b - 7 + 1, -6 = -2*k + b. Let z(u) = 5278*u + 135. Is z(k) a prime number? False Let r(n) = 1 + 4*n**2 - 1 + 5 + 3 - 9*n. Let c = -33 + 42. Is r(c) composite? False Suppose 2*w + 278605 - 1009480 = -5*g, -w + 438526 = 3*g. Is g a prime number? False Suppose 0 = 3*h - 6*h + 4*a + 90430, -2*a - 60290 = -2*h. Suppose -4*m = -4*r - 24112, 5*m + 0*m + 5*r = h. Is m prime? True Let p(t) = -690809*t - 383. Is p(-2) a composite number? True Let b(l) = -4*l**3 - 35*l**2 + 7*l + 16. Let f be b(-9). Suppose 0 = -f*t + 9*t + 207775. Is t a composite number? False Let y(u) = u. Let q be y(8). Let z(k) = -k**2 + 2. Let a(l) = 10*l**2 + l - 11. Let i(p) = a(p) + 4*z(p). Is i(q) a composite number? False Is (-1)/3*(9 + -6)*-14269 - 2 a prime number? False Suppose 76*f = 87*f - 377894. Suppose 12*n - 93314 = f. Is n a prime number? True Let r(z) = 12*z + 53*z**3 + 2 - 4 + 0 - 9 - 38*z**2 + 13. Is r(5) composite? False Is 45402819/(-42)*102/(-187) prime? False Let g(w) = -2*w - 12. Let s be g(-13). Suppose -s*o + 28 = -7*o. Suppose 0*j + 2*m - 3652 = -2*j, -3*m = o*j - 7301. Is j composite? False Let j(h) = h**3 - 7*h**2 + 2. Let g be j(7). Let a(k) = 228*k**3 - 4*k**2 + 8*k - 3. Let m be a(g). Suppose -4*q = -183 - m. Is q composite? True Suppose -3*r = -5*f + 71 + 899, -20 = 4*r. Suppose -p + f = -w, -3*w + 186 = -4*w - 4*p. Let g = w - -887. Is g composite? True Let u be (1*6)/(20/(-30)). Let b = 12 + u. Suppose 2*o = 3*r - 529, -b*o = 5*r - 6*o - 882. Is r a composite number? True Let r = -57685 + 190596. Is r a prime number? True Let r = 5 + -5. Suppose -4*q + 47407 - 12063 = r. Suppose -52*o = -56*o + q. Is o composite? True Let s be (9/6)/((-9)/(-72)) + 0. Suppose 2*y - 11453 = 5*a, 7*a - s*a = -25. Is y prime? False Suppose 3*s = 162724 + 108236. Suppose -4*r + 70109 = x, -3*x = 4*r - s + 20209. Is r prime? False Suppose 10*i - 59905 = 5*i. Suppose -4*q + 2*k = -15974, 3*q - 3*k + k = i. Is q + (4 - (5 - -1)) prime? False Let m(q) = -3*q - 51. Let k be m(-15). Let d be 8*(-3)/k + 6 + -2. Suppose -41172 = -4*a - d*a. Is a a prime number? False Let v be (1*3/(-6)*0)/2. Suppose v = 4*k - 74 + 62. Suppose -k*j = 4*t - 64, 5*t + 3*j = 12 + 71. Is t a prime number? True Suppose 0 = -5*m - 2*d + 42727, 0 = -5*m - 302*d + 304*d + 42723. Is m prime? False Let o be (-67)/(3 + (0 - 4)). Suppose -3*m = -o + 25. Is 14/(-98) + 2508/m a composite number? False Let j = 123446 + -83685. Is j composite? False Let v be (-34)/(-289) - 1970/(-17). Suppose 121*h - v*h = 202165. Is h prime? True Let h be (-136)/51*(-9)/4 + -1. Is (h - (-2 + 1)) + 4417 composite? False Suppose 7*c - 10*c + 82507 = 4*t, 0 = 3*t + 5*c - 61883. Suppose -t - 87543 = -23*x. Is x a composite number? False Let x be ((-8)/7)/(24/(-84)). Is (-2)/((-24)/2001)*x prime? False Suppose 98*w = 119*w - 63. Is (-1)/w*(15 + 9 + -6633) a prime number? True Let z(p) = -55*p**2 + p - 2. Let o(h) = 110*h**2 + 5. Let n(i) = -3*o(i) - 7*z(i). Is n(3) prime? False Let h(f) = -6275*f - 4. Let l be h(-1). Suppose 0 = 2*i - 4443 - l. Is i a prime number? False Suppose -722430 = -11*t + 7*t + 2*j, 5*j = -5. Is t a prime number? False Suppose 4*j + 22829 = -1991. Let s(n) = 4*n - 182. Let a be s(44). Is 4/a - j/15 a prime number? False Suppose -5*u = -0*u - 2*d + 59, -5*u = -3*d + 61. Let p = 7 + u. Is 6 + p - (-1060 + -2)/2 a prime number? False Suppose 5*z - 123143 = -33418. Suppose -36 = -63*f + 51*f. Suppose -z = -f*b - 2*b. Is b a composite number? True Let y(w) = -3*w + 7*w**2 - 180 - 2*w**3 + 13*w**2 + 185. Is y(-8) a prime number? True Let j = 323376 + -202733. Is j composite? True Let t(y) = -87*y**3 - 8*y**2 + 12*y + 42. Let d = -390 - -383. Is t(d) prime? False Let q = -19 - -37. Suppose 0*z - 9*z + q = 0. Is (0 + -1)/(z + 5022/(-2510)) a composite number? True Suppose -5*y + 4417 = -5*s + 82502, 0 = -2*s - 4*y + 31246. Is s prime? True Let g(q) = -2*q**2 + 51*q - 29. Let s be g(28). Let m = 16 - s. Is m prime? False Let y(u) = -u**3 + 30*u**2 - 24*u - 13. Let b be y(-13). Suppose 7544 + b = 10*g. Is g prime? True Suppose 0 = -12*q + 38093 + 490591. Suppose -9*g - 4*g = -q. Is g a prime number? True Let i(x) = 5*x**3 - 5*x**2 + 33*x + 40. Is i(27) a composite number? False Let i(f) = -4*f**2 + 11*f + 9. Let x be i(17). Let j = 297 - x. Is j prime? False Suppose -2*w - 2632 - 712 = 5*i, 0 = -5*w - i - 8406. Let z = w + 3696. Suppose 0*k + 3*r - 5049 = -5*k, 2*k = -4*r + z. Is k a composite number? True Let k(c) = 376*c + 7. Suppose w + 5*p + 85 = -2*w, 5*w = p - 151. Let n = w + 33. Is k(n) composite? True Let k be 4 + 3/6*0 + 3. Suppose -q = -5*u + 27341, 2*u + k*q = 2*q + 10958. Is u prime? False Let l be ((-1)/(125/(-30) + 4))/2. Suppose -4*k + l*x = -5*k + 5705, -2*x = -3*k + 17137. Is k a prime number? True Suppose -7*v + 386508 = 2*r - 5*v, -5*r + 3*v = -966310. Is r prime? False Suppose -169868 - 28110 = -22*w. Is w composite? False Let q = -44765 - -926026. Is q composite? True Let f(h) = h**2 - 162*h - 2. Is f(-7) composite? False Suppose -11*f - 65*f + 5809516 = 0. Is f prime? True Let w(b) = b**3 - 2*b**2 + 22. Let x be w(0). Suppose -q - x = 9. Let k = 68 + q. Is k a prime number? True Let r(i) = 0*i**2 + 6*i - 9 + i**2 + 23. Suppose -3*q - 3*w = 51, 0 = -q + 5*w + 3 - 8. Is r(q) composite? False Suppose 0 = -20*p + 396985 + 1528195. Is p a composite number? False Let d = -481747 + 732206. Is d prime? False Let z(b) = -3778*b - 203. Is z(-4) a composite number? True Let t(x) = 29060*x - 109. Is t(4) prime? True Let f(s) = 2816*s**2 - 6*s - 5. Let v(i) = -2816*i**2 + 9*i + 6. Let x(b) = 5*f(b) + 4*v(b). Is x(-1) a prime number? False Let h be -1 + 0 - (16 + 855). Suppose 5*w = 2*z + 7072 + 1769, 4*w + 4*z = 7056. Let x = h + w. Is x composite? True Let q(o) = -158*o + 120*o - 95*o - 85 - 378*o. Is q(-14) prime? True Suppose 4*a + 3*u = 463701, 33684 + 82243 = a - u. Suppose -11*z + a = 13703. Is z a composite number? False Suppose 10*c = 36*c - 790114. Is c composite? False Let n(f) = -f**3 - 12*f**2 + 6*f + 76. Let i be n(-12). Suppose i*g + 5*a - 1153 = 844, 2*g = 4*a + 966. Is g prime? False Let i = 258247 - 84896. Is i a prime number? False Suppose -82422473 + 25339761 = -148*o. Is o prime? False Suppose -112*y + 107*y - 5*i + 253320 = 0, 2*y - 5*i - 101279 = 0. Is y a prime number? False Let w be -2 + 4 + (1 - (0 - 1)). Suppose -2*r = w*r + 14610. Let v = -1268 - r. Is v a composite number? True Let a(n) = -250*n**3 + 7*n**2 - 1. Let j(f) = 248*f**3 - 6*f**2 + 1. Let t(u) = 5*a(u) + 6*j(u). Is t(2) prime? True Let a(d) = 325*d**2 + 9*d - 7. Let q be a(-22). Suppose -24*b + 33*b - q = 0. Is b a prime number? False Let c be (14 - 1) + (26 - 28). Is c/(-66) + 34/(-12) + 6502 prime? False Let n be 3/(-9)*(-75612)/(-4)*-4. Let g = n - 13623. Suppose -6*s + g - 1315 = 0. Is s composite? True Let r = -24 + 26. Let w be (-20)/(-30) - (-7)/(-3)*r. Is (0 - 1) + w + 2104 a prime number? True Suppose -4*y + 2*a = -1081636, -4*a = -117*y + 114*y + 811237. Is y composite? False Let j be 18/(-90) + (-26)/(-5). Suppose -3*b - 18 = -j*b + 3*h, 4*h = -16. Is b/4 - 28449/(-36) a prime number? False Let x = 9126 - -3241. Is x a composite number? True Let y = -88973 - -435124. Is y a prime number? False Suppose 17*v + 16*v - 99 = 0. Suppose -v*i + 2*x + 8463 = 0, 2*i + 10*x - 5635 = 9*x. Is i composite? False Is 33803330/70 + 54/189 a prime number? False Let c(j) = 514*j**2 - 75*j - 893. Is c(-22) a prime number? True Let y = -246 - -368. Let v = y - 117. Suppose 2*o + 4*k = -0*k + 10318, -v*k + 5165 = o. Is o a composite number? True Let u(c) = -23*c**3 + c**2 + 1. Let h be u(-3). Let q(p) = 53*p**2 + 41*p + 505. Let d be q(-12). Suppose h - d = -6*j. Is j composite? True Let m(i) = 2*i + 3. Let t be m(0). Suppose 0 = -t*n - 2*n + 26180. Suppose 0 = -4*j - 0*o - 4*o + n, -2*j - 3*o = -2614. Is j prime? False Suppose 5*p = -4*z + 19492, 4*z - 704*p + 701*p = 19492. Is z composite? True Let g(m) = 384*m + 59. Let j be g(18). Suppose 5*a = -2*x + j, 4*a - 3898 - 10014 = -4*x. Is x a prime number? False Suppose -5*x + 2410 = -0*x. Let b = x + -227. Suppose 2*a + 3*q = 538, 0*a - 2*q -
{ "pile_set_name": "DM Mathematics" }
erivative of n**5/20 + 5*n**4/12 - 5*n**3/6 - 9*n**2/2 + 4*n. List the prime factors of p(-5). 2 Suppose y - 3*o = 30 + 5, -y - 3*o = -47. What are the prime factors of y? 41 Let c(i) be the second derivative of -i**4/12 - 4*i**3/3 - 2*i**2 + 2*i. List the prime factors of c(-7). 3 Suppose -3*l + 6 = 5*a - 1, 3*a = -4*l + 24. List the prime factors of l. 3 Suppose -2*x - 15 = -3*d, 0 = d - 4*d - 4*x - 3. Suppose y = 2 + d. Suppose -3*w - y = -4*w. List the prime factors of w. 5 Suppose 5*i - 3*s - 6 + 58 = 0, -5*i - 5*s = 20. Suppose 43 = 2*o + 9. Let q = o + i. List the prime factors of q. 3 Let k(c) = -2*c**2 + 3*c - 9. Let b(i) = i**2 + i + 1. Let w(x) = 3*b(x) + k(x). Let o be w(-7). List the prime factors of -1 + o/(-1) + 11. 3 Let c = -42 - -99. List the prime factors of c. 3, 19 Let r be (2*2/(-2))/1. List the prime factors of r/(15/9 + -2). 2, 3 Suppose -4*p - j + 182 = 0, -2*p - 2*j = 3*p - 226. Suppose 5*h + 59 = -p. What are the prime factors of (-30)/h*7/1? 2, 5 Let n be (-12)/(-5)*(-65)/(-2). Suppose -4*h = -6*h - 2*d + 28, -d = 5*h - n. Let c = -10 + h. What are the prime factors of c? 2, 3 Let o be -1*2*6/(-12). Suppose -5*d - o = -131. What are the prime factors of d? 2, 13 List the prime factors of (-1169)/(-14) + (-9)/(-6). 5, 17 Let z = -169 + 324. List the prime factors of z. 5, 31 Let t be -38*-1*(-3)/(-6). Suppose f + t = 2*f. What are the prime factors of f? 19 Suppose 2*t = -2*t + 108. List the prime factors of t/(0 - -3) + 1. 2, 5 Suppose 8*i = 5*i + 243. Suppose -2*w + 1 = -i. List the prime factors of w. 41 Suppose -4*j + 9*j = -100. Let y = j + -24. List the prime factors of (-1 + y)*(-2)/5. 2, 3 Let g be -2*6/(-3) - -308. Suppose -7*o + g = -o. What are the prime factors of o? 2, 13 Let g(v) = v**3 + 5*v**2 - 8*v - 2. Let w be g(-6). Suppose -3*c = -8*c + w. Let s(x) = 4*x - 1. What are the prime factors of s(c)? 7 Suppose 4*o - 10 - 2 = 0. Suppose -5*z - 54 = -o*f, 5*f - 78 = 5*z + 12. List the prime factors of f. 2, 3 Let g be 4/(-6)*15/10. Let c be (g - -5)/2 + 1. Suppose -w = -c - 4. What are the prime factors of w? 7 Suppose 2*i = -2*q - i + 221, 3*q - 359 = i. List the prime factors of q. 2, 59 Let v = 34 + -38. Let z be (0/(-2))/(-2) - 0. Let a = z - v. List the prime factors of a. 2 Let t = -8 - -15. Suppose 2*a = t*a - 55. List the prime factors of a. 11 Let q be (-12)/8 + (-13)/(-2). Suppose -b + 1 = 2*o, 0 = o - q*b - 0*b - 17. List the prime factors of (-68)/(-8) + o/(-4). 2 Let d be 70/(-2)*(-2)/5. Let s = -9 + d. Suppose s*i - 2*i = 6. List the prime factors of i. 2 Suppose -b - 4*b + 10 = 0. Suppose -t + r = 5*r - 13, 5*t + b*r - 65 = 0. What are the prime factors of t? 13 Suppose -1135 = -10*f + 1485. What are the prime factors of f? 2, 131 Let z(b) = b**3 + 10*b**2 + 6*b + 7. What are the prime factors of z(-5)? 2, 3, 17 Suppose 0 = 3*l + i - 36, -5*l + i - 2*i + 60 = 0. Suppose -4*g + 4*w = -84, l = -2*g + 3*g + 2*w. What are the prime factors of g? 2, 3 Let z(i) = 9*i - 4 + 13 + i - i**2. What are the prime factors of z(9)? 2, 3 Let x(z) be the third derivative of z**6/120 + z**5/10 + z**4/12 - 2*z**3/3 - z**2. List the prime factors of x(-3). 17 List the prime factors of 78/30 + (-6)/(-15). 3 Let d(a) = 2*a**2 + 15*a + 20. What are the prime factors of d(-9)? 47 Let x = 27 + 27. Let j = x + -21. List the prime factors of j. 3, 11 Let m be (4/(-6))/((-1)/12). Suppose -m = 5*w - 48. List the prime factors of w. 2 Let w = -17 - -27. List the prime factors of w. 2, 5 Let y be 1*(3 - 0) - 1. List the prime factors of 16*(y/4 - 0). 2 Let g(y) = -y**2 + 8*y + 12. Let a be g(10). Let h(s) = s**3 + 3*s**2 + s + 2. Let o be h(-3). Let p = o - a. What are the prime factors of p? 7 Let h = -14 - -41. Let o be 1/4 + h/(-12). What are the prime factors of (-66)/(-3) + (o - 0)? 2, 5 Suppose -p + 44 = 3*p. Let r be (-2)/3 - p/(-3). Suppose -2*j = r*j - 25. What are the prime factors of j? 5 Suppose -2*r + 4*r - 10 = 0. Suppose -q + r*q - 32 = 0. What are the prime factors of q? 2 Let i be (2/4)/((-4)/24). Let q = 11 + i. List the prime factors of (q/20)/((-1)/(-10)). 2 Let i(n) = 18*n. Let m be i(10). List the prime factors of 1/(2 + m/(-92)). 23 Let g = -18 + 11. Let k = g - -11. Suppose 0*a + 44 = 3*a + k*v, 3*a = 5*v - 1. What are the prime factors of a? 2 Let y(o) = 2*o**2 - 2*o + 3 + o - 2. Let f be y(-2). List the prime factors of f/4 - (-3)/12. 3 Suppose 3*h = -4*x + 171, 2*h = 7*h + 5*x - 280. What are the prime factors of h? 53 Let o(x) be the second derivative of 1/2*x**2 - 1/20*x**5 + 3*x + 0 - 2/3*x**3 - 1/4*x**4. What are the prime factors of o(-3)? 13 Suppose o = -o. Suppose 5*s = -o*s + 15. List the prime factors of s. 3 Let y = -17 - -17. Suppose -4*j + 92 - 28 = y. What are the prime factors of j? 2 Let z(b) = -b - 2. Let s(q) = 3*q + 5. Let t(r) = 6*s(r) + 11*z(r). What are the prime factors of t(5)? 43 Suppose 0 = 3*b - 2*b + 2. Let x = b - -2. Let k(q) = q**2 + q + 6. List the prime factors of k(x). 2, 3 Let v = -76 - -172. List the prime factors of v. 2, 3 Let y be 1*-6*(-2)/6. Suppose 0 = -4*n + 3*n + y. Suppose n*w + 3 = 3*w. What are the prime factors of w? 3 Let m = 265 + -59. What are the prime factors of m/10 + (-6)/10? 2, 5 Let n = -16 - -26. Suppose 2*t + 3*r = -2*t + 20, -n = 3*t - 4*r. Suppose 2*s = -3*c + c + 10, -7 = -t*s - 3*c. What are the prime factors of s? 2 Suppose 2*g - 6*g + 60 = 4*n, 2*n + g - 31 = 0. Let r = -6 + n. List the prime factors of r. 2, 5 Suppose -6*h - h + 567 = 0. List the prime factors of h. 3 Let c be -2*(3 - (-6)/(-3)). Let b(z) = 1 + 3*z**2 - 4*z**2 - 4*z + 0. What are the prime factors of b(c)? 5 Let d(w) = 3*w + w**2 + 3*w**2 + w**3 + 0*w. Let x be d(-2). Let h = x - -6. What are the prime factors of h? 2 Suppose -3*p + 5*o + 14 = p, -5*o - 2 = -2*p. Let j = p - 4. List the prime factors of j. 2 What are the prime factors of (224/12)/(20/12 + -1)? 2, 7 Let q = -2 + 5. List the prime factors of q*6/2 + -3. 2, 3 Suppose -5*j = -9*j + 116. List the prime factors of j. 29 Let z be 358/(-8) - (-9)/(-36). Let f = -17 - z. What are the prime factors of f? 2, 7 Let m be ((-3 + -41)*-1)/1. Suppose -4*f + 60 = -m. List the prime factors of f. 2, 13 Let i(t) = -t - 4. Let m be i(-6). Let h be ((-40)/12)/(m/(-60)). List the prime factors of h/16 - (-1)/(-4). 2, 3 Suppose 5*l - 6 = 59. Let t = -9 + l. Suppose t*p + 31 = k, 2*k + k - 3*p = 48. List the prime factors of k. 11 Let l = -161 - -257. Suppose -2*c = -6*c - l. Let z = 44 + c. What are the prime factors of z? 2, 5 Suppose -2*l - 3*l - 235 = 0. List the prime factors of l/(-4) + 7/28. 2, 3 Suppose 3*o = 2*u - 3, o = -2*u + 3*o. Let n = u - -8. List the prime factors of n + 0 + -1 + 0. 2 Suppose 15*c + 4*c = 7087. List the prime factors of c. 373 Let j = 64 - 35. Let p = -13 + j. What are the prime factors of p? 2 Suppose 3 = -3*k, -3*k = 5*d + 2*k - 1220. List the prime factors of d. 5, 7 Let n(y) be the second derivative of -y**3/6 + 11*y**2/2 - 4*y. What are the prime factors of n(5)? 2, 3 Suppose -15*l + 6 = -13*l. Suppose -l*n - 2*a + 77 = 0, 2*n - a = n + 19. List the prime factors of n. 23 Let n(b) = 0 - 4*b + 4*b + 1 - 2*b. List the prime factors of n(-6). 13 Let c(b) = -1 - b + 7*b**2 + 1 - 1. What are the prime factors of c(-1)? 7 Let g = 363 - 258. What are the prime factors of g? 3, 5, 7 Suppose -2*r + 10 = s, 0*r + 2*s + 15 = r. List the prime factors of r + 3/(-3) + 3. 3 Suppose 0 = 5*c - 4*x - 195, 2*c - 80 = 4*x - 2*x. List the prime factors of c. 5, 7 Suppose -h = v - 4, -2*v - 2*v + 4*h = 0. Suppose -a + 6*a + 23 = v*g, -3*a = 9. List the prime factors of 11 + 0 + (2 - g). 3 Let c = 31 - 3. What are the prime factors of c? 2, 7 Let a(g) = g**2 + 7*g - 5. Let h(d) = -2*d + 2. Let l be h(5). Let i be a(l). Suppose 4*y - n - 34 = -3*n, -4*y - i*n + 33 = 0. List the prime factors of y. 3 Suppose -x - 1610 = -11*x. List the prime factors of x. 7, 23 Let w be 3/(-5) - 65/(-25). Suppose 2 = -w*k, -26 - 71 = -2*z - 5*k. Suppose 3*q - z = -4*j, 2*q + 5 - 60 = -5*j. List the prime factors of j. 3 Suppose -u + 49 = -0*u. What are the prime factors of u? 7 Let q be ((-4)/6)/((-6)/(-432)). What are the prime factors of ((-160)/q)/((-2)/(-12))? 2, 5 Suppose -t = t + 2. List the prime factors of 1 +
{ "pile_set_name": "DM Mathematics" }
*2 + 1360*n**2. -4*n**3 Collect the terms in 1843*n**2 + 121*n**2 - 259*n**2. 1705*n**2 Collect the terms in -53 - 28 - 4*n + 123 - 42. -4*n Collect the terms in 1557*m**2 - 11*m + 8 + 11*m - 7. 1557*m**2 + 1 Collect the terms in -2*l + 2*l - 158*l**2 - 13*l**2. -171*l**2 Collect the terms in -15*t**2 + 94*t**2 - 35*t**2 - 15*t**2 - 26*t**2 - 31*t**2. -28*t**2 Collect the terms in 47 + 166*t - 49 + 1199*t. 1365*t - 2 Collect the terms in -30*c + 533 + 541 - 1623 + 36*c + 549. 6*c Collect the terms in -h**2 + 5*h**2 + 74987*h - 74987*h. 4*h**2 Collect the terms in 25*s + 317*s**2 + 295*s**2 + 18*s - 43*s. 612*s**2 Collect the terms in -31 + 12221*m + 31. 12221*m Collect the terms in -2*h**2 + 15*h**3 + 15*h**3 + 36*h**3 + 2*h**2. 66*h**3 Collect the terms in 81703*p**3 - 43702*p**3 - 41126*p**3. -3125*p**3 Collect the terms in 58*g**3 + 62*g**3 + 61*g**3 - 828*g**3 + 651*g**3. 4*g**3 Collect the terms in -128 + 59 - 404*u**2 + 69 + 403*u**2 + 23*u**3. 23*u**3 - u**2 Collect the terms in 4*x + 6*x - 16 - 22*x + 9*x + 8*x. 5*x - 16 Collect the terms in 6923*g - 3464*g - 3478*g. -19*g Collect the terms in -4*l**3 + 48 + 3*l**3 - 2*l**3 + l**3. -2*l**3 + 48 Collect the terms in -2 + 83*n + 19*n - 2 + 5. 102*n + 1 Collect the terms in 290*q**2 - 145*q**2 + 11*q**3 - 15*q**3 - 145*q**2. -4*q**3 Collect the terms in -415*q**2 + 1344*q**2 + 10*q**2 + 439*q**2. 1378*q**2 Collect the terms in -7*n**2 - 17*n**2 - 6*n**2 + 12*n**2. -18*n**2 Collect the terms in -7*p - 8*p - 11*p + 44*p - 7*p. 11*p Collect the terms in 72*t - 227*t + 90*t + 69*t. 4*t Collect the terms in 4*o - 28*o + 579*o + 9 + 137*o. 692*o + 9 Collect the terms in -207*r**2 - 162*r**2 - 461*r**2 - 366*r**2 - 684*r**2. -1880*r**2 Collect the terms in 19*p + 107*p - 18*p - 47*p - 1. 61*p - 1 Collect the terms in 35 - 156 + 29*u**2 - 70. 29*u**2 - 191 Collect the terms in -72*q**2 + 2631*q**2 - 1293*q**2. 1266*q**2 Collect the terms in 2*t**2 - 89204*t + 0*t**2 + 89204*t + 8*t**2. 10*t**2 Collect the terms in -388*a**2 + 383*a**2 + 3 - 3. -5*a**2 Collect the terms in -26*d**3 - 31*d**3 - 22*d**3 + 62*d**3 + 20*d**3. 3*d**3 Collect the terms in 35*g**2 - 19*g**2 - 33*g**2 + 42*g. -17*g**2 + 42*g Collect the terms in 100231 - 100231 - 101*x**2. -101*x**2 Collect the terms in -2*w + 86*w**2 - 85*w**2 + 2*w - 473. w**2 - 473 Collect the terms in 573859 - 286927 + n - 286932. n Collect the terms in 110*v**3 + 8 - 8 - 2*v**2 - 17*v. 110*v**3 - 2*v**2 - 17*v Collect the terms in 1126*p - 69*p**3 - 8 + 5 - 1126*p - 21*p**3. -90*p**3 - 3 Collect the terms in 524*s**2 + 147*s**2 - 800*s**2 - 3*s**3 + 129*s**2. -3*s**3 Collect the terms in -m - 99*m**2 - 24*m**3 + 124*m**2 + m. -24*m**3 + 25*m**2 Collect the terms in 27*t + 59*t - 8 - 83*t. 3*t - 8 Collect the terms in 94*m**3 - m - 113*m**3 + m + 14*m**3. -5*m**3 Collect the terms in -3*s**3 - 38*s + s**3 - 50*s + 88*s. -2*s**3 Collect the terms in -12*l**3 - 104*l**2 + 8*l**3 - 102*l**2 + 206*l**2. -4*l**3 Collect the terms in 13*f**2 + 997 - 993 - 17*f + 30*f**2. 43*f**2 - 17*f + 4 Collect the terms in 8*d**2 - 494*d + 1000*d - 500*d. 8*d**2 + 6*d Collect the terms in -54*x**3 + 289*x**3 - 234*x**3. x**3 Collect the terms in -1002 - 81*h + 2031 - 1030. -81*h - 1 Collect the terms in 2 + 1917*d + 1821*d - 2. 3738*d Collect the terms in -11*z + 13*z + 5*z + 4*z + 4*z. 15*z Collect the terms in 1107608*g**2 - 1107608*g**2 - 15*g**3. -15*g**3 Collect the terms in 2 + 3 - 5 + 260846*g**3. 260846*g**3 Collect the terms in 549*d**2 + 1 - 40*d**2 - 4*d**3 - 3*d**3. -7*d**3 + 509*d**2 + 1 Collect the terms in 18*d**2 + 570*d**3 - 18*d**2. 570*d**3 Collect the terms in -85 + 258 - 85 - 88 - 12*p**2. -12*p**2 Collect the terms in 19 + h**2 + 11 + 39*h**3 - 39 + 9. 39*h**3 + h**2 Collect the terms in 279*p**2 + 13844*p - 13844*p. 279*p**2 Collect the terms in 499*r + 0 + 0 - 832*r + 354*r. 21*r Collect the terms in 144*n**3 - 131*n**3 - 294*n**3 + 0*n - 2*n - 4*n. -281*n**3 - 6*n Collect the terms in -r**2 - 15*r**2 + 3*r**2 - 4*r**2. -17*r**2 Collect the terms in 90*d**3 + 754*d + 745*d - 1499*d. 90*d**3 Collect the terms in 1680*o - 507*o - 516*o - 657*o + 2*o**3. 2*o**3 Collect the terms in -4355*c + 8725*c - 4369*c. c Collect the terms in 142425*z + 4 - 2 + 534*z**2 - 142425*z. 534*z**2 + 2 Collect the terms in 93 - y**2 - 2*y**2 + 7*y**2 - 93. 4*y**2 Collect the terms in 13 + 10 + 10*p - 27 + 9*p - 4*p. 15*p - 4 Collect the terms in -184*v**2 + 77*v**2 + 76*v**2 + 33*v**2. 2*v**2 Collect the terms in 2*u - 18*u + 3*u + 2. -13*u + 2 Collect the terms in 106*l**2 + 6020523 - 6020523. 106*l**2 Collect the terms in -108*s**2 - 102*s + 102*s + 103*s**2. -5*s**2 Collect the terms in 26*k + 15*k + 161*k + 1 - 4*k**3. -4*k**3 + 202*k + 1 Collect the terms in 35*c - 43*c**3 - 35*c + 2*c**3 - 38*c**3. -79*c**3 Collect the terms in 37*z**3 + 29*z**3 + 32*z**3 - 5*z**2 - 105*z**3 + 5*z**2. -7*z**3 Collect the terms in 247 + 255 - 4*d**3 - 502 + 2*d**3. -2*d**3 Collect the terms in -20*r - 27*r - 30*r + 133*r - 9*r - 19*r. 28*r Collect the terms in -58959*h**2 + 73 + 58958*h**2 - 73. -h**2 Collect the terms in -2556*a - 5762*a - 6328*a. -14646*a Collect the terms in -235*n**3 - 224*n**3 + 471*n**3. 12*n**3 Collect the terms in -1308*z - 1313*z - 1328*z + 5*z**3 + 3949*z. 5*z**3 Collect the terms in -3*x**3 - 8930*x**2 + 0*x**3 + 8930*x**2. -3*x**3 Collect the terms in 3*l + 2*l**3 + 8*l**3 + 11*l. 10*l**3 + 14*l Collect the terms in 359*u - 141*u + 228*u. 446*u Collect the terms in 13382*c**3 + 13385*c**3 - 26755*c**3. 12*c**3 Collect the terms in 29482*w**2 - w + 5*w - 29488*w**2 - 4*w. -6*w**2 Collect the terms in 25*r + 37*r - 45 - 60*r + 45. 2*r Collect the terms in 710945*z - 1421876*z + 710942*z. 11*z Collect the terms in 603665*d - 603665*d - 46*d**2. -46*d**2 Collect the terms in 3200*p**2 - 806*p**2 + 1898*p**2. 4292*p**2 Collect the terms in 2 - 205*z - 2 - 446*z. -651*z Collect the terms in -119 - 2513*l**3 + 119. -2513*l**3 Collect the terms in -184*w + 92*w - 139*w - 31*w. -262*w Collect the terms in 13*v**3 + 13 + 14 + 15 + 13 - 54. 13*v**3 + 1 Collect the terms in -5*k - k**3 + 12*k**2 + 10 - 10 + 34*k. -k**3 + 12*k**2 + 29*k Collect the terms in 225*r - 578*r + 219*r + 155*r. 21*r Collect the terms in 5*s**3 - 10*s**3 - 5*s**3 - s**3 + 3*s**3. -8*s**3 Collect the terms in 4617*a - 103*a + 6797*a - 725*a. 10586*a Collect the terms in -4*g**3 + 7 - 2*g**3 - 2*g**3 + 35*g + 5*g**3. -3*g**3 + 35*g + 7 Collect the terms in 921*i**2 - 21*i + 916*i**2 - 2758*i**2 + 920*i**2. -i**2 - 21*i Collect the terms in -2235*y**3 - 417*y**3 - 1975*y**3. -4627*y**3 Collect the terms in 93*i**2 - 13*i**2 + 30*i**2 + 464*i**2. 574*i**2 Collect the terms in -26 + 277*p + 14 + 12 - 248*p. 29*p Collect the terms in -7 - 80 + 41 - t + 14*t**2 + 46. 14*t**2 - t Collect the terms in 6*r - 4*r + 3*r + 5*r - 2 + 59*r. 69*r - 2 Collect the terms in 1186*b + 1021*b - 263*b + 686*b - 378*b. 2252*b Collect the terms in 25*t**2 - 109150*t - 17*t**2 + 109150*t. 8*t**2 Collect the terms in 0 - 113*a**2 - 184*a + 209*a + 0. -113*a**2 + 25*a Collect the terms in -5*k - 53*k**2 + 5*k + 74*k**2 + 327*k**2. 348*k**2 Collect the terms in 2*h**3 - 25*h**3 + 3*h**3 + 24*h**3 - h**3 + 5*h**3. 8*h**3 Collect the terms in 6834*k - 2186*k + 4954*k. 9602*k Collect the terms in 60*k - 60*k - 238254*k**3. -238254*k**3 Collect the terms in -12734 + 33*u**2 + 24*u + 12734 - 24*u. 33*u**2 Collect the terms in 605987 - 348*m**2 - 605987. -348*m**2 Collect the terms in 237*a + 218*a - 665*a + 223*a. 13*a Collect the terms in 5 - 2*x**3 - 18*x**2 + 15 - 39 + 19. -2*x**3 - 18*x**2 Collect the terms in -305*o**2 + 1212*o**2 - 306*o**2 - 294*o**2 - 304*o**2. 3*o**2 Collect the terms in -3551*l**2 + 5649*l**2 - 2105*l**2. -7*l**2 Collect the terms in -113*u - 122*u - 96*u - 92*u - 2 + 127*u. -296*u - 2 Collect the terms in 42*i**2 + 149*i**2 + 2*i - 4*i + 4*i. 191*i**2 + 2*i Collect the terms in -159*j**2 - 51*j**2 + 47*j**2. -163*j**2 Collect the terms in 6334 - 6334 - 319*a + 289*a. -30*a Collect the terms in -707 + 705 + 5*h**2 + 639*h - 4*h**2. h**2 + 639*h - 2 Collect the terms in -2*k + 37 - 4 - 13 - 9 - 11. -2*k Collect the terms in 5*b - 16897*b**2 - 5*b + 16909*b**2. 12*b**2 Collect the terms in -3
{ "pile_set_name": "DM Mathematics" }
is -5 - 106? -114 In base 6, what is -432 - -32? -400 In base 12, what is -524 - 5? -529 In base 12, what is a6 - 0? a6 In base 12, what is -597 - 3? -59a In base 9, what is 2 + -26? -24 In base 15, what is -27 + -e5? -11c In base 12, what is -1536 + -1? -1537 In base 10, what is -64 + 2? -62 In base 16, what is -5bf - 1? -5c0 In base 2, what is 11010 + 1000? 100010 In base 15, what is 5 - -1b? 21 In base 12, what is -1 - 19? -1a In base 5, what is 3 - -214? 222 In base 9, what is -1 + 15? 14 In base 15, what is 568 + 5? 56d In base 6, what is -133 - 1? -134 In base 15, what is 3 - 59? -56 In base 12, what is 10 - 10? 0 In base 13, what is 5 + 91? 96 In base 11, what is 283 + 3? 286 In base 13, what is 23 - -5? 28 In base 4, what is -2 - -200331? 200323 In base 4, what is 312 - 21? 231 In base 6, what is 45 - 32? 13 In base 10, what is 9683 - 3? 9680 In base 16, what is -5 - -47? 42 In base 5, what is -1440 + 2? -1433 In base 12, what is -7 - -2? -5 In base 14, what is 0 + 3a9? 3a9 In base 10, what is -2 - 269? -271 In base 15, what is 5ab - -5? 5b1 In base 11, what is -5 + -84? -89 In base 5, what is 132 - 0? 132 In base 8, what is 74 - -4? 100 In base 14, what is -2952 + 2? -2950 In base 11, what is -3 + 212? 20a In base 10, what is -49 + -14? -63 In base 8, what is -3 + 1051? 1046 In base 5, what is 4 - 22030? -22021 In base 14, what is -24 + 4? -20 In base 14, what is 4 + -439? -435 In base 15, what is -12b - 4? -130 In base 4, what is 10 - -22201? 22211 In base 10, what is -941 - -5? -936 In base 9, what is 4 + -858? -854 In base 4, what is 32 - 0? 32 In base 16, what is -29 - 8? -31 In base 9, what is -758 - -3? -755 In base 12, what is -2 + 36? 34 In base 10, what is -16 - 9? -25 In base 2, what is -1 - 111111? -1000000 In base 2, what is 0 + 11011? 11011 In base 10, what is -273 + -4? -277 In base 7, what is -134 - -4? -130 In base 8, what is 44 + -21? 23 In base 6, what is 3 + 1012? 1015 In base 13, what is 3 - -28? 2b In base 4, what is 12333 + -2? 12331 In base 4, what is -211 + 30? -121 In base 5, what is -20004 - 40? -20044 In base 3, what is 221 - -101100? 102021 In base 16, what is -24 - 3? -27 In base 11, what is -2 - -23? 21 In base 4, what is -3 + -202? -211 In base 4, what is -1131 + 33? -1032 In base 11, what is 9 + -260? -252 In base 11, what is 2 - -459? 460 In base 13, what is 527 + -c? 518 In base 8, what is 71 - -7? 100 In base 5, what is -31 + -13? -44 In base 5, what is -4102 - -1? -4101 In base 6, what is 200225 + -5? 200220 In base 2, what is 1000 - -10010? 11010 In base 12, what is -1407 - 2? -1409 In base 12, what is 241 + 4? 245 In base 11, what is -3 + 53? 50 In base 5, what is -340 + 3? -332 In base 15, what is 1 + 41a? 41b In base 15, what is 3e + b? 4a In base 15, what is 5 - 11c? -117 In base 11, what is -4 + 62? 59 In base 5, what is 11 + -12? -1 In base 3, what is 12 - 1? 11 In base 11, what is -2 - -3894? 3892 In base 8, what is 434 - -4? 440 In base 13, what is -2 + -2b0? -2b2 In base 2, what is -11 - -100110110? 100110011 In base 4, what is -13 - 1? -20 In base 7, what is 123 - -2? 125 In base 14, what is -cb - 17? -104 In base 6, what is -3 - 143? -150 In base 3, what is -10120011 + -10? -10120021 In base 5, what is 142 + -1? 141 In base 2, what is 1010000 - -100101? 1110101 In base 5, what is 3 + -2100? -2042 In base 5, what is 1 + -20? -14 In base 14, what is 4 + 748? 74c In base 15, what is -c16 - -8? -c0d In base 13, what is 0 + -16? -16 In base 6, what is -3 + -102? -105 In base 14, what is -28aa - -4? -28a6 In base 15, what is -463 - -2? -461 In base 2, what is -10011101 - 101000? -11000101 In base 10, what is -17 + 0? -17 In base 12, what is -5 + -1106? -110b In base 5, what is -3 - -3? 0 In base 9, what is 116 - -4? 121 In base 14, what is 512 + -10? 502 In base 4, what is -10 + -211303? -211313 In base 13, what is -b + -16? -24 In base 2, what is -110000 + 1000111? 10111 In base 6, what is -254 - -40? -214 In base 9, what is -421 - -45? -365 In base 2, what is 110111 - 10001? 100110 In base 7, what is -256 - -1? -255 In base 2, what is 100 - 1110001? -1101101 In base 4, what is 23 - 3? 20 In base 3, what is 1 - 101? -100 In base 12, what is 2149 - -1? 214a In base 10, what is -207 - -24? -183 In base 13, what is -1 - -68? 67 In base 12, what is 2 - -74? 76 In base 8, what is 0 - 51? -51 In base 11, what is -8 - a0? -a8 In base 15, what is -4 - 167? -16b In base 10, what is 2185 + 6? 2191 In base 7, what is -1 - 2116? -2120 In base 8, what is -531 - 1? -532 In base 6, what is -1420 + -2? -1422 In base 15, what is -4 - 2? -6 In base 6, what is -14 - 35? -53 In base 2, what is -100 - 10001001? -10001101 In base 11, what is 19 + 3? 21 In base 13, what is -297 - -7? -290 In base 2, what is 100001010 - -1100? 100010110 In base 12, what is -3 - 64? -67 In base 5, what is -131 - -1? -130 In base 12, what is -2 + 92? 90 In base 11, what is -8 - -5a? 52 In base 3, what is -11110 + -2? -11112 In base 4, what is -320103 + 3? -320100 In base 13, what is -50 + b? -42 In base 13, what is 534 + -4? 530 In base 14, what is -5 - -37? 32 In base 5, what is 10300 + 42? 10342 In base 10, what is -7703 - 2? -7705 In base 14, what is -2cc - 3? -2d1 In base 15, what is 6b + 2? 6d In base 2, what is -1100001010100 - 10? -1100001010110 In base 13, what is -3 + -1303? -1306 In base 2, what is 1000101 - -11? 1001000 In base 13, what is 4 - 11? -a In base 13, what is 15 + -84? -6c In base 14, what is 4 - a3? -9d In base 7, what is -235 + -3? -241 In base 12, what is -58 - 2? -5a In base 5, what is 3 - -4411? 4414 In base 12, what is 4 + -b7? -b3 In base 12, what is -20 - 2? -22 In base 14, what is 3 + 386? 389 In base 12, what is 5 - -35? 3a In base 15, what is -118 + -14? -12c In base 5, what is 3 + -2441? -2433 In base 11, what is 10a34 + -4? 10a30 In base 5, what is 14 + 231? 300 In base 14, what is -14c4 + -4? -14c8 In base 4, what is 13 - 11201? -11122 In base 14, what is 37c - -2? 380 In base 9, what is -2 + 5376? 5374 In base 15, what is -454 + 4? -450 In base 14, what is -244 - 4? -248 In base 6, what is -215 + 242? 23 In base 4, what is -10 - 333? -1003 In base 8, what is -22 + 32? 10 In base 6, what is -11 + 1202? 1151 In base 5, what is 3 + -3342? -3334 In base 11, what is 5 + 86? 90 In base 2, what is 10011 + 1110101? 10001000 In base 12, what is 8 + 3280? 3288 In base 15, what is 2 - 8? -6 In base 14, what is 11 - 11? 0 In base 8, what is 12342 + -3? 12337 In base 11, what is -10a4 - -2? -10a2 In base 5, what is 4232 - 10? 4222 In base 16, what is 18 - -8? 20 In base 3, what is 1020 + 11? 1101 In base 5, what is 14 - 1304? -1240 In base 15, what is 0 + -ee4? -ee4 In base 8, what is 53 - 22? 31 In base 3, what is -2 - 22? -101 In base 13, what is -4 + a9? a5 In base 15, what is -19 + 5e? 45 In base 4, what is -11 + -1231? -1302 In base 14, what is 3 + 6d? 72 In base 10, what is -2322 - -1? -2321 In base 10, what is 159 + -3? 156 In base 6, what is 2514 + -3? 2511 In base 6, what is -122 - -5? -113 In base 15, what is -333 - 1? -334 In base 6, what is -44 - 23? -111 In base 11, what is -67 + -4? -70 In base 2, what is 110110 - 110? 110000 In base 12, what is -5 - -27? 22 In base 5, what is 0 - 212? -212 In base 12, what is -154b + -1? -1550 In base 8, what is 14 - 107? -73 In base 6, what is 255 - -1055? 1354 In base 2, what is 101 + 101000111? 101001100 In base 4, what is -223 + -1230? -2113 In base 3, what is -120222 + 11? -120211 In base 16, what is 239 - -1? 23a In base 3, what is -221 + 20? -201 In base 5, what is -1 + 1120? 1114 In base 3, what is 2 + -2002011? -2002002 In base 5, what is -3 - -1313? 1310 In base 16, what is -5 - -d6? d1 In base 8, what is -4 + -115? -121 In base 10, what is 2 + -216? -214 In base 6, what is 21343 + 3? 21350 In base 15, what is 4 - -22d? 232 In base 7, what is 3244 + -1? 3243 In base 5, what is 1130 - 10? 1120 In base 8, what is -573 + 4? -567 In base 7, what is 211663 + -4? 211656 In base 6, what is -2 + -114? -120 In base 11, what is 9 - 146? -138 In base 10, what is 5 - -119? 124 In base 10, what is -370 + -4? -374 In base 13, what is -16 + -236? -24c In base 3, what is -12121 - 10? -12201 In base 9, what is 0 + 41? 41 In base 8, what is 1 - -527? 530 In base 4,
{ "pile_set_name": "DM Mathematics" }
. Suppose 0 = -0*w - 2*w. Let n(r) = -4*r + 2*r - r + w*r. Determine f(n(k)). -3*k Let r(l) = -26*l**2. Let d(c) = -2*c - 202. Determine r(d(n)). -104*n**2 - 21008*n - 1060904 Let h(z) = -191*z. Let i(w) = 24*w. What is h(i(m))? -4584*m Let i(v) = -v. Suppose 5*a + 0*x = 3*x + 27, 4*a - 25 = -x. Let h(m) = -a + m - 2 + 8. Determine i(h(w)). -w Let h(j) be the third derivative of j**5/4 - j**2 - 3*j. Let q(a) = 3*a**2. Give q(h(g)). 675*g**4 Let v(s) = -5*s. Let n(g) = -34*g - 67. Determine v(n(k)). 170*k + 335 Let v(p) = -9*p. Let w(i) = 40*i. Determine w(v(m)). -360*m Let r = -38 + 913/24. Let y(x) be the third derivative of 0*x**3 + 2*x**2 + 0 + 0*x + r*x**4. Let s(n) = 2*n**2. Calculate y(s(c)). 2*c**2 Let y(g) be the first derivative of -5*g**2 - 4. Let k(n) = -5*n**2. Determine k(y(t)). -500*t**2 Suppose 0 = 3*h + 5 - 17. Let s(z) = 0*z + h*z - 3*z. Let x(w) = 4*w + 0*w - 3*w. What is s(x(m))? m Let a be 5/(10/12) - 3. Let y(k) be the first derivative of k**3 - k**a + 2*k**3 + 1. Let w(t) = -2*t**2. Determine w(y(q)). -72*q**4 Let q(a) = -2*a**2. Let o = 16 - 11. Let r(g) = -6*g - 5. Let v(n) = -5*n + 1 + 0 - 5. Let d(y) = o*v(y) - 4*r(y). Calculate q(d(u)). -2*u**2 Let h(b) = b. Let x(w) be the second derivative of -w**6/120 - 2*w**4/3 + 6*w. Let t(g) be the third derivative of x(g). Calculate t(h(y)). -6*y Let y(u) = 10*u**2 + 3*u - 3. Let m(n) = 48*n**2 + 14*n - 14. Let l(i) = -3*m(i) + 14*y(i). Let s(b) be the third derivative of b**4/12 - b**2. Give l(s(q)). -16*q**2 Let j(l) = 7*l - 5*l + 2*l. Suppose x + 4 = 0, 4*v - v = -5*x - 5. Let y(z) = v*z + 4*z - 10*z - z. Give j(y(k)). -8*k Let a(m) = -5*m. Let y(l) = -23*l + 22*l - 2 + 2. Give a(y(q)). 5*q Let g(y) = -1 - 2 + 5 - 3. Let p(f) = -3*f - 21. Let u(n) = -42*g(n) + 2*p(n). Let x(d) = -d**2. Determine u(x(w)). 6*w**2 Let l(c) = -12*c**2 - 86 + 86. Let u(f) = -2*f. What is l(u(m))? -48*m**2 Let c(w) = w. Let j(b) = -2*b**2 + 7*b**2 - 2*b**2 - 2*b**2. Determine c(j(s)). s**2 Let v(y) = -20*y**2. Let q(k) = -2*k + 3. Let f(g) = g - 1. Let r(w) = -6*f(w) - 2*q(w). Determine v(r(s)). -80*s**2 Let x(v) = -262*v**2. Let n(b) = 19*b**2. Determine n(x(w)). 1304236*w**4 Let v(c) be the second derivative of c**6/720 + c**4/12 - c. Let s(y) be the third derivative of v(y). Let h(w) = 3*w. Give h(s(m)). 3*m Let h(p) = 9*p. Let g(o) = -426*o**2. Give h(g(t)). -3834*t**2 Let c(y) = -11*y**2. Let i(k) = -4*k**2 + k**2 - 4*k**2 + 8*k**2. Give i(c(v)). 121*v**4 Let s(r) be the first derivative of r**4/12 - 3*r + 4. Let a(w) be the first derivative of s(w). Let c(m) = 3*m + 3*m - 3*m. Calculate c(a(d)). 3*d**2 Let d(r) be the second derivative of 3*r + 0*r**2 - 1/6*r**3 + 0. Let b(y) = y. Let w(i) = -i. Let z(c) = 3*b(c) + 4*w(c). Give d(z(j)). j Let o(s) = 5*s. Let p(f) be the first derivative of 0*f + 1/3*f**3 + 0*f**2 - 5. Give p(o(u)). 25*u**2 Let u(v) = 0*v + 3*v - 3*v - 3*v**2. Let k = 6 - 3. Let l(x) = 0 + 0 + k*x**2. Determine u(l(h)). -27*h**4 Let r(l) = l. Let v(c) = 37*c + 6*c + c. Give r(v(t)). 44*t Let y(s) = 452*s**2. Let x(h) = -2*h**2. Give x(y(r)). -408608*r**4 Let y(g) be the third derivative of 0*g**4 + 0 - 1/60*g**5 + 0*g + 0*g**3 + g**2. Let s(m) = -5*m**2. Determine s(y(q)). -5*q**4 Let l(n) = 2*n. Let r(t) = -12*t**2 + 27*t. Let o(q) = -46 + q**2 - 2*q + 46. Let d(u) = 54*o(u) + 4*r(u). Determine l(d(c)). 12*c**2 Let y(o) = 22*o. Let p(l) be the third derivative of -l**5/15 - 2*l**2 + 10*l. Determine p(y(g)). -1936*g**2 Let m(a) = 2*a. Let j(f) = 272*f. Give m(j(k)). 544*k Let p(b) be the third derivative of -b**5/30 + 2*b**2. Let q(k) = 3*k**2. Give p(q(x)). -18*x**4 Let t(k) = 2*k. Let c(r) be the second derivative of 6*r + 2/3*r**3 + 0 + 0*r**2. Give t(c(a)). 8*a Let v(p) = -3*p. Let g(i) = -i**2. Let x(h) = -20*h**2. Let w(q) = -44*g(q) + 2*x(q). Give v(w(s)). -12*s**2 Let f(w) = 2*w**2. Let v be (5 + 3)*-5*-1. Suppose -5*j = 3*h - 44, 0 = -2*h - h - 4*j + v. Let r(i) = 0*i + h*i - 2*i. What is r(f(y))? 12*y**2 Let v(j) = -7 + 7 + 2*j. Let z(a) = 66*a. Let q(c) = 5*c. Let i(d) = 27*q(d) - 2*z(d). Calculate i(v(w)). 6*w Let b(k) be the third derivative of 7*k**5/60 + 10*k**2. Let x(v) = v. Calculate x(b(q)). 7*q**2 Let a(r) = 43*r. Let s(o) = -o**2 - 23*o. Give s(a(j)). -1849*j**2 - 989*j Let f(u) = 2*u - 17. Let q(a) = -14*a. Give f(q(d)). -28*d - 17 Suppose -20 = -5*u + 2*q, -q - 19 = -0*u - 4*u. Let r(t) = u*t - 5*t - 3*t. Let c(n) = n - 2*n - 2*n. What is c(r(g))? 6*g Let m(i) be the first derivative of 17*i**3/3 - 14. Let r(s) = 3*s**2. What is m(r(d))? 153*d**4 Let v(x) = x. Let t(f) be the third derivative of f**4 + 2*f**2. Give v(t(l)). 24*l Let k(j) = -4*j**2. Let g(s) be the third derivative of 0 + 0*s**4 + 0*s**3 + 0*s + 1/60*s**5 - s**2. Give k(g(c)). -4*c**4 Let w(j) = 1. Let u(s) = s - 6. Let z(o) = u(o) + 6*w(o). Let i(t) = -t**2. What is i(z(p))? -p**2 Let w(y) = -y**2. Let q(h) = 2*h**2 + 327. Give w(q(d)). -4*d**4 - 1308*d**2 - 106929 Let d(b) = 4*b. Let z(g) be the second derivative of 0*g**3 + g**3 - 2*g + 5*g. Let p(w) = -8*d(w) + 5*z(w). Let l(o) = 2*o. What is p(l(x))? -4*x Let f(k) = -k. Let l(q) = -3*q + 2. Suppose 0*t = -2*n + 3*t - 7, 5*n + 5 = -5*t. Let a(g) = -g + 1. Let j(w) = n*l(w) + 4*a(w). Give j(f(b)). -2*b Let q(m) = -7*m**2 + 3*m**2 - m**2. Let k(b) = -5*b - 4. Let y(a) = -a - 1. Let p(z) = -k(z) + 4*y(z). Determine q(p(u)). -5*u**2 Let w(r) = 324*r. Let y(x) = -25*x. Let k(g) = -2*w(g) - 27*y(g). Let v(q) = -q. Give k(v(t)). -27*t Let x(j) = -24*j**2. Let r(s) be the second derivative of 0 + 0*s**3 - 1/6*s**4 - 10*s + 0*s**2. Determine x(r(m)). -96*m**4 Let j(v) = 3*v**2. Let f = 42 - 42. Let a(n) be the third derivative of -2*n**2 + 0*n**3 + f*n + 0 + 1/12*n**4. Calculate j(a(r)). 12*r**2 Let x(i) be the second derivative of i**4/4 - 7*i. Let k(y) = -2*y**2. Determine x(k(g)). 12*g**4 Let i(l) = -3*l. Let h(b) be the third derivative of b**4/12 - b**2. Determine i(h(g)). -6*g Let m(s) = -s**2. Let u(p) be the third derivative of 1/20*p**5 + 0*p**3 + 3*p**2 + 0*p**4 + 0 + 0*p. Give u(m(o)). 3*o**4 Let i(g) = -537*g**2. Let w(q) = -10*q**2. Calculate i(w(s)). -53700*s**4 Let m be ((-2)/(-5))/(1/(-5)). Let f(y) = 12*y**2 + 11*y - 11. Let n(i) = -i**2 - i + 1. Let v(t) = m*f(t) - 22*n(t). Let d(o) = -o**2. Calculate d(v(g)). -4*g**4 Let s(u) = u**2. Suppose -33 = 5*f + 27. Let n = -7 - f. Let a(b) = n + b - 5. What is a(s(c))? c**2 Let d(f) = f + 6. Let z(c) = -1. Let b(l) = d(l) + 6*z(l). Let q(v) be the first derivative of 5*v**2/2 - 2. What is b(q(u))? 5*u Let l(n) = n**2. Suppose -5*m + 11 = 1. Let o(y) = y**2 - y + 1. Let h be o(m). Let c(x) = -3*x + x + h*x. What is l(c(u))? u**2 Let o(z) = 4*z. Let d(n) = 318*n. Determine o(d(s)). 1272*s Let l(b) = 1 - 2*b + 4*b - b. Let n be l(1). Let j(p) = -p**2 - 3*p**n + 3*p**2. Let g(m) = -3*m**2. Give g(j(a)). -3*a**4 Let b(h) be the first derivative of -h**6/360 - 2*h**3/3 - 2. Let j(d) be the third derivative of b(d). Let m(z) = -2*z. What is m(j(k))? 2*k**2 Let w(r) = 2*r**2 - 9. Let i(a) = 2*a**2. What is i(w(j))? 8*j**4 - 72*j**2 + 162 Let a(x) be the second derivative of 1/6*x**4 + 0 + 0*x**2 + 0*x**3 + 2*x. Let k(o) = 6*o - 7. Let z(i) = -2*i + 2. Let u(s) = -2*k(s) - 7*z(s). Give a(u(m)). 8*m**2 Let x(l) = 2*l**2. Let w(v) = -v - 6*v + 0*v. Determine w(x(r)). -14*r**2 Let f(c) = -c**2. Let u(t) be the first derivative of 5/24*t**4 + 2 + 0*t**3 - t**2 + 0*t. Let o(a) be the second derivative of u(a). Calculate o(f(r)). -5*r**2 Let m(u) = 14*u**2. Let v(j) = 2*j**2 - 308 + 308. Determine m(v(i)). 56*i**4 Let l(z) = z**2 + 2*z - 4. Let q(o) = -3*o**2 - 7*o + 14. Let u(t) = 7*l(t) + 2*q(t). Let v(g) = -121*g. What is v(u(m))? -121*m**2 Let a(i) = 7*i. Let n be (-15 - -16) + (-2)/(1 - -1). Let b(m) be the first derivative of -1/2*m**2 + n*m + 3. Give b(a(g)). -7*g Let d(p) = -3*p**2. Let u(v) = 2*v**2 - 1832. Give u(d(y)). 18*y**4 - 1832 Let j(u) = -u. Let x(z) = 461 - 461 + z. What is x(j(a))? -a Let y(a) = 2*a. Let d(u) = 21*u + 1359 - 1359. What is y(d(z))? 42*z Let m(a) = 17*a - 1. Let t(f) = -10*f**2 + 2*f**2 + f**2 + 6*f**2. Give m(t(n)). -17*n**2 - 1 Let w(l) = 32*l**2. Let h(m) = -3*m**2. Give h(w(o)). -3072*o**4 Let u(f) = -2*f**2. Let i(m) = -6 + 3 + 4 - 17 - 20*m. Let t(z)
{ "pile_set_name": "DM Mathematics" }
24919? 3, 67, 373 List the prime factors of 362033. 7, 51719 List the prime factors of 6130980. 2, 3, 5, 34061 What are the prime factors of 6789728? 2, 11, 19289 List the prime factors of 1379732. 2, 41, 47, 179 What are the prime factors of 2005445? 5, 13, 30853 What are the prime factors of 3663451? 11, 333041 List the prime factors of 2025672. 2, 3, 11, 7673 What are the prime factors of 3477008? 2, 217313 List the prime factors of 212243. 212243 What are the prime factors of 281427? 3, 93809 What are the prime factors of 826718? 2, 43, 9613 List the prime factors of 6662111. 23, 289657 What are the prime factors of 1203562? 2, 157, 3833 List the prime factors of 8856356. 2, 19, 116531 What are the prime factors of 601205? 5, 11, 17, 643 List the prime factors of 22712021. 22712021 List the prime factors of 16998629. 1021, 16649 What are the prime factors of 3414882? 2, 3, 601, 947 What are the prime factors of 7558694? 2, 11, 13, 19, 107 What are the prime factors of 2002513? 881, 2273 What are the prime factors of 2109829? 31, 68059 List the prime factors of 1353580. 2, 5, 67679 List the prime factors of 13454248. 2, 31, 54251 List the prime factors of 12725154. 2, 3, 13, 18127 List the prime factors of 1695115. 5, 339023 List the prime factors of 5803681. 13, 17, 26261 What are the prime factors of 6709? 6709 List the prime factors of 1634652. 2, 3, 17, 2671 What are the prime factors of 362236? 2, 7, 17, 761 What are the prime factors of 4946683? 7, 706669 What are the prime factors of 195916? 2, 7, 6997 List the prime factors of 9474333. 3, 11, 53, 5417 List the prime factors of 6284788. 2, 661, 2377 List the prime factors of 18291331. 1033, 17707 List the prime factors of 231738. 2, 3, 13, 2971 What are the prime factors of 1614661? 1614661 List the prime factors of 96412. 2, 24103 What are the prime factors of 36488? 2, 4561 List the prime factors of 990786. 2, 3, 37, 4463 What are the prime factors of 3244687? 19, 170773 What are the prime factors of 4150146? 2, 3, 7, 11, 13, 691 List the prime factors of 759996. 2, 3, 31, 227 List the prime factors of 3627212. 2, 137, 6619 List the prime factors of 7156081. 659, 10859 What are the prime factors of 187873? 7, 26839 List the prime factors of 4457752. 2, 13, 42863 What are the prime factors of 170092? 2, 13, 3271 What are the prime factors of 3118542? 2, 3, 7, 41, 1811 What are the prime factors of 2179824? 2, 3, 45413 List the prime factors of 1445. 5, 17 What are the prime factors of 2420265? 3, 5, 47, 3433 What are the prime factors of 2582313? 3, 61, 103, 137 What are the prime factors of 1571426? 2, 431, 1823 List the prime factors of 9428007. 3, 37, 157, 541 List the prime factors of 12582032. 2, 31, 25367 List the prime factors of 291490. 2, 5, 103, 283 List the prime factors of 21652851. 3, 11, 656147 What are the prime factors of 167039? 167039 List the prime factors of 344047. 11, 31277 List the prime factors of 2768470. 2, 5, 276847 What are the prime factors of 29323097? 89, 329473 List the prime factors of 740481. 3, 7, 37, 953 What are the prime factors of 4521781? 11, 411071 What are the prime factors of 510437? 347, 1471 List the prime factors of 2049841. 71, 28871 List the prime factors of 587150. 2, 5, 11743 What are the prime factors of 452487? 3, 7, 29, 743 What are the prime factors of 10241879? 53, 193243 List the prime factors of 5920557. 3, 1973519 What are the prime factors of 707415? 3, 5, 47161 List the prime factors of 20463804. 2, 3, 568439 List the prime factors of 5353745. 5, 107, 10007 List the prime factors of 1000100. 2, 5, 73, 137 List the prime factors of 25104. 2, 3, 523 What are the prime factors of 11026663? 41, 131, 2053 List the prime factors of 141257. 141257 List the prime factors of 21015. 3, 5, 467 List the prime factors of 813971. 813971 What are the prime factors of 119434? 2, 7, 19, 449 What are the prime factors of 92045? 5, 41, 449 What are the prime factors of 1021512? 2, 3, 31, 1373 What are the prime factors of 150453? 3, 73, 229 List the prime factors of 3529851. 3, 13, 29, 3121 What are the prime factors of 675554? 2, 11, 30707 List the prime factors of 18207843. 3, 167, 36343 List the prime factors of 1703073. 3, 37, 67, 229 What are the prime factors of 7473226? 2, 3736613 List the prime factors of 17335. 5, 3467 What are the prime factors of 308027? 308027 List the prime factors of 15318274. 2, 7659137 List the prime factors of 876417. 3, 389, 751 What are the prime factors of 24660962? 2, 29, 425189 List the prime factors of 388731. 3, 7, 107, 173 List the prime factors of 870022. 2, 233, 1867 What are the prime factors of 629418? 2, 3, 23, 4561 What are the prime factors of 1721551? 13, 151, 877 What are the prime factors of 13261882? 2, 1249, 5309 List the prime factors of 1966505. 5, 393301 List the prime factors of 873563. 19, 23, 1999 What are the prime factors of 8307913? 8307913 What are the prime factors of 5308126? 2, 199, 13337 List the prime factors of 20317256. 2, 2539657 What are the prime factors of 6501238? 2, 3250619 What are the prime factors of 29797030? 2, 5, 157, 18979 What are the prime factors of 3948010? 2, 5, 11, 19, 1889 List the prime factors of 650011. 650011 What are the prime factors of 4886608? 2, 305413 What are the prime factors of 243179? 23, 97, 109 What are the prime factors of 581599? 581599 List the prime factors of 315314. 2, 37, 4261 What are the prime factors of 632190? 2, 3, 5, 13, 1621 List the prime factors of 792291. 3, 79, 3343 List the prime factors of 544542. 2, 3, 47, 1931 List the prime factors of 161299. 23, 7013 List the prime factors of 253946. 2, 7, 11, 17, 97 What are the prime factors of 545975? 5, 21839 List the prime factors of 1046661. 3, 7, 11, 23, 197 List the prime factors of 1948306. 2, 983, 991 What are the prime factors of 4278875? 5, 34231 List the prime factors of 605248. 2, 7, 193 List the prime factors of 110192. 2, 71, 97 What are the prime factors of 16325400? 2, 3, 5, 7, 13, 23 What are the prime factors of 23785015? 5, 131, 36313 What are the prime factors of 624991? 31, 20161 What are the prime factors of 5112708? 2, 3, 199, 2141 What are the prime factors of 1559104? 2, 17, 1433 What are the prime factors of 1107265? 5, 221453 What are the prime factors of 640450? 2, 5, 12809 List the prime factors of 4574793. 3, 1524931 List the prime factors of 1891066. 2, 457, 2069 What are the prime factors of 15168085? 5, 71, 42727 What are the prime factors of 9285229? 41, 53, 4273 List the prime factors of 2481460. 2, 5, 53, 2341 What are the prime factors of 3936298? 2, 1968149 What are the prime factors of 3230914? 2, 37, 43661 List the prime factors of 173287. 149, 1163 What are the prime factors of 10220? 2, 5, 7, 73 List the prime factors of 17628718. 2, 23, 409, 937 List the prime factors of 1845395. 5, 369079 What are the prime factors of 4398428? 2, 23, 47809 List the prime factors of 4586816. 2, 13, 37, 149 List the prime factors of 26240384. 2, 17, 31, 389 What are the prime factors of 236739? 3, 23, 47, 73 List the prime factors of 544125. 3, 5, 1451 List the prime factors of 13679587. 31, 137, 3221 List the prime factors of 669044. 2, 167261 What are the prime factors of 5708899? 7, 23, 59, 601 What are the prime factors of 238403? 11, 21673 What are the prime factors of 234887? 31, 7577 What are the prime factors of 522977? 7, 13, 821 What are the prime factors of 6262556? 2, 263, 5953 List the prime factors of 104334. 2, 3, 17389 What are the prime factors of 2763575? 5, 110543 List the prime factors of 94080. 2, 3, 5, 7 What are the prime factors of 2133599? 13, 41, 4003 What are the prime factors of 1054880? 2, 5, 19, 347 List the prime factors of 10173581. 11, 924871 What are the prime factors of 435279? 3, 13, 11161 List the prime factors of 146365. 5, 73, 401 List the prime factors of 6664936. 2, 833117 List the prime factors of 1114486. 2, 17, 32779 List the prime factors of 2944792. 2, 368099 What are the prime factors of 5664778? 2, 7, 239, 1693 List the prime factors of 2325575. 5, 7, 97, 137 What are the prime factors of 3542511? 3, 7, 17, 9923 What are the prime factors of 4797130? 2, 5, 13, 36901 List the prime factors of 236697. 3,
{ "pile_set_name": "DM Mathematics" }
+ 8. Determine 9*f(y) - 4*n(y). -2*y + 4 Let w(u) = 3*u + 1 + u**2 - 3*u. Let m(r) = r + 1. Let g(j) = -4*j**2 - 3*j - 3. Let c(b) = g(b) + 2*m(b). What is c(k) + 2*w(k)? -2*k**2 - k + 1 Let z = -54 - -48. Let m(q) = 2*q**2 + 15*q - 7. Let f(b) = -b**2 - 7*b + 3. Calculate z*m(i) - 13*f(i). i**2 + i + 3 Let r(m) = 10*m. Let x(n) = -n. Let p(k) = k**3 + 12*k**2 - 11*k + 25. Let l be p(-13). Calculate l*r(i) - 5*x(i). -5*i Let n(x) = -2 + x**2 + 2 - 1. Let l(y) = -2*y**3 + 2*y**2. Let o be 6/(-4)*-2 + 7. Let u(s) = -s**2 + 11*s - 12. Let j be u(o). Give j*n(a) + l(a). -2*a**3 + 2 Let v(o) = -6*o**3 + 5*o**2 - 4*o + 5. Let f(m) = m**3 + m - 1. What is -4*f(k) - v(k)? 2*k**3 - 5*k**2 - 1 Let g = 4 + -1. Let v(y) = -g + y**2 + 2*y**2 + 0*y - y - y. Let f(d) = -7*d**2 + 5*d + 7. Determine -2*f(k) - 5*v(k). -k**2 + 1 Let t(x) = -2*x. Let s(m) = 9*m - 1. Give 2*s(r) + 14*t(r). -10*r - 2 Let s(i) = -23*i - 5. Let x(l) = 12*l + 3. Determine 4*s(u) + 7*x(u). -8*u + 1 Let s(n) = n**2 + n - 1. Let l(g) = -2*g**2 - 2*g + 1. What is -l(t) - 3*s(t)? -t**2 - t + 2 Let z(a) = -3*a + 129. Let u(r) = 4*r - 193. Calculate -5*u(h) - 7*z(h). h + 62 Let h be ((-5)/(-2))/(1/(-2)). Let i(q) = 5 - 3*q**2 - 3 + 9*q**2 - 6*q. Let r(a) = -4*a**2 + 4*a - 1. Calculate h*i(n) - 8*r(n). 2*n**2 - 2*n - 2 Let j be 3*((-3)/1 + 4). Let q be (4/1)/(j + -2). Let z(a) = 3*a - 3. Let r(i) = 0 - i + 1 + 0. Give q*r(m) + z(m). -m + 1 Let u(b) = -2*b**2 + 3*b. Let t(c) = 9*c**2 - 13*c. Let s(f) = f**2 - f + 9. Let l be s(8). Let i be 16/20*l/2. Suppose 12 = 4*r - 2*r. What is i*u(y) + r*t(y)? 2*y**2 Let a(g) be the second derivative of g**4/2 + 5*g**3/6 + 5*g**2/2 - 6*g. Let l(c) = 5*c**2 + 4*c + 4. Give -4*a(n) + 5*l(n). n**2 Let n(k) be the second derivative of -k**2/2 + 9*k. Let g(l) = 5*l + 2. Let v(s) = -14*s - 5. Let j(c) = 11*g(c) + 4*v(c). Calculate 2*j(r) + 6*n(r). -2*r - 2 Let b(m) = -3*m - 4. Let p(l) = 6*l + 9. What is 7*b(s) + 3*p(s)? -3*s - 1 Let l(b) = 16*b + 1. Let t(v) = -16*v - 1. Give -5*l(k) - 4*t(k). -16*k - 1 Suppose -2*r = y - 11, -20 = -5*r + 5*y - 15. Let b(f) = 11*f**3 + 4*f**2 + 4*f + 4. Let c(p) = -10*p**3 - 3*p**2 - 3*p - 3. What is r*c(x) + 3*b(x)? -7*x**3 Let g(i) = -9*i - 14. Let o(w) = -4*w - 7. Calculate -2*g(m) + 5*o(m). -2*m - 7 Let v(j) = 5*j**3 - 8*j**2 + 8*j + 6. Let s(h) be the second derivative of 9*h**5/20 - 5*h**4/4 + 5*h**3/2 + 11*h**2/2 - 2*h - 10. Determine -6*s(r) + 11*v(r). r**3 + 2*r**2 - 2*r Let c(b) = 15*b**3 + 9*b**2 - 2*b + 19. Let u(a) = 7*a**3 + 4*a**2 - a + 9. Give -6*c(d) + 13*u(d). d**3 - 2*d**2 - d + 3 Let l(k) = -k + 4. Let u(z) be the third derivative of 1/12*z**4 - 3*z**2 + 0*z - 7/6*z**3 + 0. Determine 7*l(r) + 4*u(r). r Let w(x) be the first derivative of x**2 + x - 1. Let k(v) be the first derivative of v**2/2 - 2. Give 5*k(c) - 2*w(c). c - 2 Let w(v) = -8*v - 11. Let x(f) = f. Determine w(o) + 6*x(o). -2*o - 11 Let b(g) = -g - 2. Let j = 13 + -8. Suppose -6 = -j*f + 19. Let c(h) = -3 + 4 + 2*h + 3. What is f*b(a) + 3*c(a)? a + 2 Let g = -3 + 4. Let c(r) = r**2 + 1. Let q(o) = 2*o - 1. Calculate g*q(p) + c(p). p**2 + 2*p Let l = 5 - 10. Let y(u) be the second derivative of -u**3/2 + u**2/2 + u. Let z(k) = -147*k + 61*k + 1 + 82*k. Calculate l*z(q) + 6*y(q). 2*q + 1 Let m(r) = -2*r**3 - 12*r**2 + 8*r + 8. Let d(o) = -o**3 - 4*o**2 + 3*o + 3. What is 8*d(k) - 3*m(k)? -2*k**3 + 4*k**2 Let o(k) = 6*k**2 - k + 1. Suppose -3*q + 0*q - 3*z - 36 = 0, -q - 3*z - 14 = 0. Let d(t) = -17*t**2 + 3*t - 3. What is q*o(f) - 4*d(f)? 2*f**2 - f + 1 Let r(p) = -p + 1. Let f(m) = -20*m + 25. Determine -2*f(z) + 50*r(z). -10*z Let n(a) = -a**2 + 4*a + 2. Let m(f) = f**2 - 9*f - 4. What is -4*m(t) - 9*n(t)? 5*t**2 - 2 Let k(d) = d**2 - d. Suppose -2*v = -2*b - 12, 3*b - v - 4*v + 26 = 0. Let i(w) = -w**2 + 3*w + 1. Calculate b*i(f) - 4*k(f). -2*f**2 - 2*f - 2 Let j(d) be the third derivative of -d**5/20 + 7*d**4/12 + 7*d**3/3 + 3*d**2 - 4*d. Let s(u) = u**2 - 5*u - 5. Let n be -1 - -8*2*-1. What is n*s(h) - 6*j(h)? h**2 + h + 1 Let z(m) be the third derivative of 0*m**3 + 1/12*m**4 + 0 + 0*m + 4*m**2. Let i(f) = 2*f. Let t = 9 - 3. Determine t*z(w) - 5*i(w). 2*w Let u = -16 + 7. Let x(z) = -z. Let w(o) = -5*o. Let v = 50 - 48. Calculate u*x(l) + v*w(l). -l Let g(j) = -j - 1. Let k(l) = -7*l - 2. Calculate -3*g(o) + k(o). -4*o + 1 Let g be (8/6)/(-2)*-3. Let x(z) = 3*z + 3*z - 5*z - g*z + 4. Let p(s) = -6. Let y(w) = -2. Let u(t) = 6*p(t) - 17*y(t). What is -5*u(h) - 2*x(h)? 2*h + 2 Let p(o) = -33*o - 5. Let b(u) = -34*u - 4. Determine 4*b(n) - 3*p(n). -37*n - 1 Let x(f) = 5*f**2 - f + 3. Let r be -1*(0 + -3 - -1). Let j(o) = -1 - 6*o + 6*o - o**r. Calculate -4*j(w) - x(w). -w**2 + w + 1 Let a(c) = 3*c**2 + 11*c - 6. Suppose -78 = -3*y - 60. Let l(p) = -p**2 - 4*p + 2. Give y*a(i) + 17*l(i). i**2 - 2*i - 2 Let y(a) = a + 3. Let k(u) = -u - 7. Determine -6*k(j) - 14*y(j). -8*j Let g(t) = -4*t**2 + 6*t. Suppose 0 = y, -2*y - 9 + 33 = 4*k. Let h(i) = -3*i**2 + 5*i. Determine k*h(l) - 5*g(l). 2*l**2 Let r(f) = f - 1. Let p(x) = x**2 - 2. Let c be p(2). Let v = -13 + 6. Let l(n) be the third derivative of n**4/6 - n**3/2 + n**2. Give c*l(j) + v*r(j). j + 1 Let c(t) = 11*t + 3. Let l(y) = y + 1. Give -c(p) + 4*l(p). -7*p + 1 Let v(i) = -i**3 + i**2 + i - 1. Let l(q) = 5*q**3 - 5*q**2 - 6*q + 4. Calculate l(x) + 6*v(x). -x**3 + x**2 - 2 Let h(d) be the first derivative of 3*d**2 - 1. Let s(u) = -4*u. Let p(l) = -4*l**3 - 1. Let k be p(1). What is k*h(f) - 7*s(f)? -2*f Let q(n) = -n + 1. Let t(w) = -w + 1. Let x(f) = -5*f + 3. Let v(g) = -2*t(g) + x(g). Give 4*q(o) - v(o). -o + 3 Let x(y) = 5*y**3 + 3*y**2 - 3*y - 1. Let u(r) = 4*r**3 + 3*r**2 - 2*r - 2. Calculate 3*u(g) - 2*x(g). 2*g**3 + 3*g**2 - 4 Let j(z) = -z. Let b(k) = 3*k + 1. Suppose -4 = -o - 0. Let t(f) = 2*f - 3. Let y be t(4). Let n = o - y. Calculate n*b(c) - 4*j(c). c - 1 Let k = -11 - -17. Suppose k*y - 2*y = 24. Let n(a) = -y*a - 5*a + 16 + a. Let q(u) = -2*u + 3. Give -2*n(x) + 11*q(x). -2*x + 1 Let m(f) = 6*f**3 - f**2. Let b be m(1). Let c(a) = -2*a**3 + 3*a**2 - 3*a + 1. Let s(x) = -4*x**3 + 5*x**2 - 5*x + 1. Determine b*c(k) - 3*s(k). 2*k**3 + 2 Let w(d) = -30*d - 5. Let a(f) = 30*f + 6. Calculate -5*a(u) - 6*w(u). 30*u Let l(m) = 2*m**2 - m - 1. Let b = 1 + 4. Let k(c) = -c**3 + 5*c**2 - 3*c - 2. Give b*l(u) - 2*k(u). 2*u**3 + u - 1 Let d(o) = 7*o**2 - 7*o - 4. Let i(w) be the first derivative of -w**3 + 3*w**2/2 + 2*w - 1. Let g = -103 - -105. Calculate g*d(n) + 5*i(n). -n**2 + n + 2 Let l(f) = 2*f - 3. Let y(t) = -1. Let c(a) = -a**3 - 3*a**2 + 5*a + 5. Let x be c(-4). Determine x*l(v) - 3*y(v). 2*v Let b(i) = -16*i**2 - 4. Let h(d) = d**2 - 1. What is -b(w) + 5*h(w)? 21*w**2 - 1 Let p(a) = a**3 - 3. Let k(c) be the first derivative of 3*c**4/4 - 7*c + 10. Give 3*k(m) - 7*p(m). 2*m**3 Let l(b) = b - 3. Let x be l(5). Let i(h) be the first derivative of h**4/4 + h**3/3 + h**2/2 + h - 23. Let q(n) = n**2 + n + 1. Determine x*i(o) - 2*q(o). 2*o**3 Suppose 0*z - 10 = -5*z. Let x be 1 + 12/(-3) + z. Let a(h) = h**2 - 1. Let o(c) = 6*c**2 - c - 4. Determine x*o(y) + 5*a(y). -y**2 + y - 1 Let s(l) = -1. Let p(j) = -j**2 - 1. Let q be -3 - -4 - -1 - 0. Suppose 0*u = -2*u + q. Calculate u*p(k) - s(k). -k**2 Let c(m) = m**2 + 3*m - 6. Let v be c(-5). Suppose -5*d + 2*o = 21, -3*d - 3*o - 17 - 4 = 0. Let r(k) = 5*k - 6. Let n(f) = 6*f - 7. What is d*r(g) + v*n(g)? -g + 2 Let f(n) = 2*n - 5. Suppose 0 = -0*q - 3*q - 12. Let j(h) be the second derivative of -h**2/2 + h. What is q*j(t) + f(t)? 2*t - 1 Let x(t) = -t - 56*t**3 + 59*t**3 + 6*t. Let c(a) be the first derivative of a**4/2 + 3*a**2/2 + 1. Determine 5*c(g) - 3*x(g). g**3 Let j(z) = 4*z - 3. Let i(g) = -g**2 + 5*g + 1. Let u be i(5). Let a be (-12)/(-2) + 1 - u. Let c(x) = -5*x + 4. Calculate a*j(t) + 5*c(t). -t + 2 Let s(f) = -9*f**3 + 5*f**2. Let y be (-8)/(-12) + (-17)/3. Let q(p) be the third derivative of p**6/30 - p**5/30 + 5*p**2. Give y*q(o) - 2*s(o). -2*o**3 Let k(t) be the first derivative of 0*t + 1/2*t**2 + 7 + 1/3*t**3. Let l(b) = 4*b**2 + 7*b - 2. Give -5*k(a) + l(a). -a**2 + 2*a - 2 Suppose 4*z = -8 + 24. Suppose -3*s = 5*r + 2, -1 = r + s + 1. Let n(h) = 2 - 8 + 2 - 6*h**r. Let g(f) = 7*f**2 + 5. Determine z*g(b)
{ "pile_set_name": "DM Mathematics" }
8)) - sqrt(288)) + 2*sqrt(288) + 3)*-3)**2*-5. -180 Simplify (6*((sqrt(33)/(sqrt(11) - sqrt(44)) - sqrt(3)) + sqrt(18)/sqrt(6) + 4))**2. -288*sqrt(3) + 684 Simplify (3*((4 + sqrt(605)*2 + sqrt(605) - sqrt(605)) + ((1 + sqrt(605))*-1 - sqrt(605)) + -4 + 4))**2. 81 Simplify -5*(sqrt(980)*-2 - (sqrt(200)*2 - sqrt(200))/sqrt(10))/(-2*sqrt(160)*1). -75*sqrt(2)/8 Simplify (3*(sqrt(500) + -3 + sqrt(500)*1 + (sqrt(5) + sqrt(20)/sqrt(4))*-1*6))**2. -432*sqrt(5) + 2961 Simplify -6*((-5*(-1 + sqrt(2448)) - sqrt(2448) - ((sqrt(2448) - -1*sqrt(2448)) + 5))*-5 + 0)**2. -23500800 Simplify (((1*sqrt(3168))/((sqrt(22)*-2)/sqrt(11)))**2 + -5)*2. 782 Simplify 0 + -2*sqrt(7)*-1 + 4 + 4 + sqrt(7) + -1 + (2*sqrt(252))**2. 3*sqrt(7) + 1015 Simplify (-1*(-4 + sqrt(288) + -1))**2 + (-1 + sqrt(288)*-1 - (0 + sqrt(288) + 0)). -144*sqrt(2) + 312 Simplify (sqrt(2200)*-4)/(2*sqrt(2)*-3). 20*sqrt(11)/3 Simplify (-3 + sqrt(112) + (sqrt(56) - sqrt(2744))/sqrt(8))**2*1. 12*sqrt(7) + 37 Simplify (sqrt(99)/(-2*sqrt(9)) + sqrt(539)*-1 - -1*-3*sqrt(11)*-3)**2. 99/4 Simplify (2*(2 + 1 + (sqrt(2299)*-1 - sqrt(2299)) + -2*sqrt(2299) + 2))**2. -1760*sqrt(19) + 147236 Simplify -6*-6*((sqrt(77)*2)/sqrt(7) + sqrt(11) + -4). -144 + 108*sqrt(11) Simplify sqrt(40)/(sqrt(24)/sqrt(75)) - (sqrt(35)/sqrt(112) - (-3 + sqrt(45) + sqrt(5))). -3 + 35*sqrt(5)/4 Simplify sqrt(22)/(sqrt(44)/(sqrt(8)/sqrt(2))) + (-5*(2*sqrt(2) + 0))**2. sqrt(2) + 200 Simplify (3*(sqrt(16)/((sqrt(88)*-2)/sqrt(11)) + -2*sqrt(2)*-3 + 5))**2. 495*sqrt(2) + 1539/2 Simplify ((sqrt(72) + 2*sqrt(72)*2)/sqrt(4))/((sqrt(81) + sqrt(9))*-5 + sqrt(99)/sqrt(99)). -15*sqrt(2)/59 Simplify ((sqrt(1694)*2)/(4*sqrt(2)*2)*4)**2. 847 Simplify 6*((sqrt(196) - 1*2*sqrt(196))/(sqrt(63)/(sqrt(27)/sqrt(3) + sqrt(9))))**2. 672 Simplify ((sqrt(1300)*-1 + -5)*3)**2 - (3 + (sqrt(1872) - sqrt(1872)*1) + -4)**2. 900*sqrt(13) + 11924 Simplify (-3*-1*(1 + sqrt(320) + -4))**2*1. -432*sqrt(5) + 2961 Simplify 0 + (5*(sqrt(42) - sqrt(210)/sqrt(5)))/((-3*sqrt(24) - sqrt(6)) + sqrt(6)). 0 Simplify 0 + (sqrt(17) + 1 + sqrt(1088) + sqrt(68)*-2)**2 + (sqrt(153) - sqrt(153)*2*-1)/(sqrt(81)/(sqrt(36)/sqrt(4))). 13*sqrt(17) + 426 Simplify (-1*sqrt(88)*-1*-6)/(5*1*sqrt(8)*1). -6*sqrt(11)/5 Simplify ((-5*6*sqrt(245))**2 - (3 + (sqrt(245) + -2)**2)) + 4. 28*sqrt(5) + 220252 Simplify (-2*sqrt(68)*-3*1 - (sqrt(68) + (5*sqrt(68)*2 - sqrt(68)) - (sqrt(68) - (sqrt(68) - 1*sqrt(68)*-1))))**2. 1700 Simplify -6*(sqrt(891)*-1 + sqrt(99)/sqrt(9) + -2 + sqrt(11)). 12 + 42*sqrt(11) Simplify ((1*-2*-3*sqrt(88))/((sqrt(2352)*3 - sqrt(2352))/sqrt(6)))**2. 99/49 Simplify (sqrt(312)/(-3*sqrt(12)))/sqrt(2) + sqrt(104)/(sqrt(8)*4*6). -7*sqrt(13)/24 Simplify (sqrt(242) + 1 + sqrt(2) - (sqrt(98) - (1 + sqrt(98)))**2) + (-2*sqrt(108))/sqrt(6). 6*sqrt(2) Simplify (1*(sqrt(121) + 3*(3*sqrt(121) + sqrt(121)))/sqrt(11)*-4)**2. 29744 Simplify (sqrt(24)*-5*-6)/(sqrt(300)*5). 6*sqrt(2)/5 Simplify (6*(sqrt(468) + 0) + 4 + (sqrt(13) - (sqrt(208) + -3)))**2 + 2. 462*sqrt(13) + 14208 Simplify 2 + 4*(sqrt(19) + -1)*-3 + sqrt(171) + 3 + 2. -9*sqrt(19) + 19 Simplify ((4*(2*sqrt(96) - sqrt(96)))/sqrt(2) + ((sqrt(480) - (-1*(sqrt(480)*-1 + sqrt(480)) + sqrt(480)))/sqrt(10))**2)*2. 32*sqrt(3) Simplify (sqrt(2736) + 1*(sqrt(2736) + -1))**2*-5 - ((-2 + sqrt(171))**2 + 3 + sqrt(133)/sqrt(7)). -54903 + 251*sqrt(19) Simplify (sqrt(300)/sqrt(360))/((sqrt(90)*3 - sqrt(90))/sqrt(9) + sqrt(10)). sqrt(3)/18 Simplify (-2*(sqrt(6) - sqrt(24)/sqrt(4))*-4)/((sqrt(3) + sqrt(3) + sqrt(363)*1)*3). 0 Simplify ((-1 + sqrt(405) + -2)*-3*2)**2 + 5. -1944*sqrt(5) + 14909 Simplify 5*(sqrt(1100)*2)/(sqrt(4) + sqrt(576)*4 + sqrt(576)). 50*sqrt(11)/61 Simplify (4*(sqrt(25) + 2*sqrt(25)*-3))/(2*sqrt(720) - sqrt(45)/(sqrt(9)*2)). -40*sqrt(5)/47 Simplify (0 + 4*2*sqrt(162) + sqrt(162)*-2 + 0 + (sqrt(162) + -1)*3)**2. -486*sqrt(2) + 13131 Simplify ((sqrt(272) + -2*sqrt(272) - sqrt(272))**2 - sqrt(272))*-6*-5 + -4*(sqrt(272) + 0)*1. -136*sqrt(17) + 32640 Simplify (-5 + sqrt(288) + 1 + -1*-2*sqrt(288) + 0 + -5)**2. -648*sqrt(2) + 2673 Simplify ((sqrt(325)*5*-4*-5)**2 + 3)*4. 13000012 Simplify 1*(-5 + (sqrt(209)/(sqrt(176) - sqrt(11)))**2)*-4*1. 104/9 Simplify -1*(6*(0 + sqrt(700) + -1 + -4))**2. -26100 + 3600*sqrt(7) Simplify -1*((sqrt(80) + sqrt(80) + -2)**2 + (2 + -2 + sqrt(5))**2). -329 + 32*sqrt(5) Simplify (4 + (sqrt(165)/(sqrt(5)*1))/(sqrt(363)*-1))*1. -sqrt(11)/11 + 4 Simplify (2*(sqrt(204) - sqrt(204)*-1*4))/(sqrt(1728) - (sqrt(1728)*1 + sqrt(1728))). -5*sqrt(17)/6 Simplify (0 + (-4 + 5*sqrt(272)*-2)**2)*3. 960*sqrt(17) + 81648 Simplify -1 + 3*(sqrt(18)/sqrt(6) + sqrt(3) + -2 + (sqrt(3) + sqrt(48) + 4 + sqrt(3))**2). 150*sqrt(3) + 365 Simplify (-2*(sqrt(76)*-5 + sqrt(76)) + sqrt(76))/(sqrt(4) - (sqrt(4) - (sqrt(324)*3 - sqrt(4)))). 9*sqrt(19)/26 Simplify (3*5*sqrt(1377))**2 + sqrt(34)/(-5*sqrt(98)). -sqrt(17)/35 + 309825 Simplify -3*((-3*sqrt(21))/sqrt(3) - (sqrt(35)*-1)/sqrt(5)) + 0. 6*sqrt(7) Simplify 5*-3*(-2 + sqrt(832) + 0 + -1)*3. -360*sqrt(13) + 135 Simplify (sqrt(70) - (1*(sqrt(70) - -2*sqrt(70)) + sqrt(70)) - (sqrt(70) - (sqrt(70)*-1*-5 - sqrt(70))))/(-1*sqrt(160)*1). 0 Simplify 1*(3 + -5 + -4*sqrt(2736))*-4. 8 + 192*sqrt(19) Simplify (-1*sqrt(68)*1*-1)/((sqrt(64) - (sqrt(64) - sqrt(64)*2))*-6). -sqrt(17)/48 Simplify ((3*sqrt(119) - sqrt(119))*1)/(1*(sqrt(112) - sqrt(7))) + 5. 2*sqrt(17)/3 + 5 Simplify (-1*sqrt(22)*-4)/(((sqrt(121) - 3*sqrt(121)) + sqrt(121) - sqrt(121))/sqrt(11)) + 4 + 1. -2*sqrt(2) + 5 Simplify ((sqrt(91)/(sqrt(35)/sqrt(5)*5))**2 + (2 + sqrt(325))*-2 + 2)*-1. 37/25 + 10*sqrt(13) Simplify (sqrt(1188) + 1*sqrt(1188)*1)/(sqrt(11) + (sqrt(176) - sqrt(11))*6 - sqrt(132)/(2*sqrt(12))). 24*sqrt(3)/37 Simplify ((sqrt(208) + 2*sqrt(208)*-1)/sqrt(4))/(-3*3*(sqrt(4) + (sqrt(4)*-3 + sqrt(4) - sqrt(4)))). -sqrt(13)/18 Simplify (-1*sqrt(204)/(sqrt(12)*3 - sqrt(12)) - (3*sqrt(136)*-3 + sqrt(136))/sqrt(8)) + 1. 1 + 15*sqrt(17)/2 Simplify (((-4*sqrt(120))/sqrt(10))/sqrt(6) - (4 + sqrt(18)/(sqrt(225) + sqrt(9))))**2. 100*sqrt(2)/3 + 913/18 Simplify (4 + 3 + -4*sqrt(1053) + -3)**2. -288*sqrt(13) + 16864 Simplify (sqrt(260)*1*-3)/(sqrt(5) + sqrt(60)/(sqrt(36)/sqrt(3))). -3*sqrt(13) Simplify (sqrt(8)/(sqrt(16)/(sqrt(16)/sqrt(4))))**2 - sqrt(20)/((-2*sqrt(70))/sqrt(7)). sqrt(2)/2 + 2 Simplify (sqrt(1620) - (sqrt(1620) + 4*sqrt(1620)) - sqrt(1620))/(sqrt(196) + sqrt(196) + sqrt(196)*-2 + sqrt(196))*-3. 135*sqrt(5)/7 Simplify -5*((2 + sqrt(847))*6 - ((sqrt(847) + -1)**2 + -5)). -440*sqrt(7) + 4155 Simplify (sqrt(448) + ((sqrt(448) + 0 - sqrt(448))**2 - sqrt(448)))*4 + (-3*1*sqrt(63))**2. 567 Simplify 5 + ((sqrt(56)*1)/sqrt(8) + sqrt(567)/sqrt(9) - -6*(2 + sqrt(1008)))**2. 1824*sqrt(7) + 40581 Simplify 4 + (-2*(sqrt(3) + (2 + sqrt(75) - sqrt(3))) - (sqrt(30)/(sqrt(60)/sqrt(6)) + 1))**2. 110*sqrt(3) + 392 Simplify (sqrt(75)/sqrt(3))/sqrt(5) + 4 + (-1*(sqrt(320) + 2))**2. 33*sqrt(5) + 328 Simplify (((sqrt(190) + sqrt(190)*-1)*5 - sqrt(190))/(sqrt(60)/(-3*sqrt(6))))**2. 171 Simplify (6*(sqrt(475)*-2 + 3) + (sqrt(475)*-1*4 - -6*(sqrt(475) - -2*sqrt(475))))**2*-2. -4448 - 720*sqrt(19) Simplify (sqrt(6) - (-5*sqrt(96) + sqrt(96)))/sqrt(2) - (sqrt(75) - (-5 + sqrt(75) + 3 + sqrt(75) - sqrt(75))). -2 + 17*sqrt(3) Simplify (-2*sqrt(102)*-3)/(sqrt(6) - 4*sqrt(54)). -6*sqrt(17)/11 Simplify ((5 + 2 + sqrt(26)/sqrt(2) + sqrt(65)/sqrt(45))*-5)**2. 1400*sqrt(13)/3 + 16225/9 Simplify (-1*sqrt(243) - 1*sqrt(675))/(1*2*sqrt(54)/sqrt(6)). -4*sqrt(3) Simplify ((sqrt(4131)*-1 + sqrt(4131))*-3)/(2*sqrt(12)*-5). 0 Simplify ((sqrt(228)*2*3*2)/(-1*sqrt(432)*-4))**2. 19/4 Simplify ((sqrt(1008) - (1 + sqrt(1008)))**2 + 2 - sqrt(1008) - (-4 + (-1 + sqrt(1008))**2))*-3. -36*sqrt(7) + 3006 Simplify ((sqrt(209) - (sqrt(209) - 3*sqrt(209)*2 - sqrt(209)))/(2*sqrt(11)*-1))**2 + 2. 939/4 Simplify ((sqrt(66) + -5*(-2*sqrt(66) - sqrt(66)))*-4)/(1*sqrt(600) - sqrt(66)/(sqrt(11)*-1 - sqrt(11))). -128*sqrt(11)/21 Simplify -5*(-1*(-2*sqrt(832) + sqrt(832) + sqrt(832) + -5)*-6)**2. -4500 Simplify sqrt(15)/(sqrt(18)/(sqrt(6) + (sqrt(6) - (sqrt(216) + sqrt(6))))) - (-1 + (sqrt(5) + sqrt(5) + sqrt(5) + 1)*1). -8*sqrt(5) Simplify (5 + 3 + (sqrt(1900)*-1 + sqrt(1900))*-5 + 1 + 4)**2. 169 Simplify -3 + (sqrt(1539)*-2 + sqrt(1539) + sqrt(1539))**2*-1*-5. -3 Simplify -4
{ "pile_set_name": "DM Mathematics" }
x = -8 + 13. Let o = -4.875 - 0.025. Let t = o + x. Is -1 less than t? True Let r(s) = -s**2 - 2*s. Let q be r(-2). Let h = -271 + 2171/8. Which is smaller: q or h? q Let c(s) = s + 4. Let u be c(-5). Is u at least 2/133? False Let r = -16 - -10. Let m(z) = -z - 5. Let h be m(r). Let s(t) = -t**2 + 2*t. Let n be s(h). Is 3/5 less than n? True Suppose -s - 3*p = -p + 102, -396 = 4*s + 5*p. Let d = s - -472/5. Which is greater: 2 or d? 2 Let l be (-1)/(-1) - 16/40. Does -0.1 = l? False Let a be (-22)/(-30) - (-10)/(-30). Which is smaller: a or 3/4? a Let z = -6 - -6. Let f(t) = 2*t - 1. Let m be f(1). Let p be -2 + m*(-24)/(-10). Do z and p have different values? True Let c(r) be the third derivative of -r**5/60 + r**4/24 - 5*r**3/6 - r**2. Let f be c(6). Let q be ((-4)/30)/(42/f). Is q bigger than 0? True Let o = -13 - -12.98. Are o and 2 equal? False Suppose -3*j + 3 = -12. Suppose 9 = -3*w + 4*t - 0*t, j*t = 15. Let y be 1*(5 - 4)*2/42. Which is smaller: w or y? y Let y(c) = -c + 4. Let q be y(-3). Suppose -1 = 3*x - q. Let j be 8*(-7)/(-140)*5. Is x < j? False Let w = -15 - -16. Let j = 5.2 + -5. Let k = j + -0.1. Which is greater: k or w? w Let u = -0.5 + 0.6. Let i = u + -1.1. Let p = -1.2 - -0.2. Is i greater than p? False Let s be ((6 - -1) + -7)/(-2). Let p = 0 - -3. Which is greater: s or p? p Let f = -8 + 14. Let v be 2/f + 8/(-60). Which is smaller: v or 1? v Let d(n) = n**2 - n. Let x be d(-2). Suppose 5*q - x - 4 = 0. Suppose 0 = 3*v + 3*u - 3, -q*v + 3*u + 2 = -5. Are v and 2 unequal? False Let t = -9 + 10. Is t at most 0? False Suppose 4*y = -3*f + 6, f + 0*f = -y + 2. Is 3/17 at most y? False Let g = 147 + -111. Which is smaller: g or 37? g Let f = -11.8 + 11. Is 2/5 < f? False Let q(h) = h**2 + 7*h - 21. Let o be q(-9). Which is greater: o or 0? 0 Let c(u) = 4*u - 1. Let v be c(1). Let h be ((-12)/(-28))/(v/2). Are h and -3 equal? False Let s be 18/4*(-4)/(-6). Suppose 0 = -2*m + s*i, -4*i = i. Which is smaller: -1/25 or m? -1/25 Let b(q) = -q**3 + 5*q**2 + q - 6. Let m(l) = l**3 + 4*l**2 + 3*l + 3. Let s be m(-2). Let i be b(s). Let x = 0.2 + 0.2. Is i at most as big as x? True Let q be ((-78)/(-16))/(6/4). Suppose 44 = -5*a + 29. Let p = q + a. Is p at least 1? False Let c(p) = -4*p**3 + p**2 + p - 1. Let b be c(1). Are -3 and b equal? True Let a = 176/5 + -36. Which is smaller: -2 or a? -2 Let s be (0 + (-2)/4)*0 - 4. Is s at least as big as -2? False Let d be (-237)/(-65) + ((-50)/(-65))/5. Which is greater: d or 3? d Suppose 7*j = 6*j + 4*q - 120, -3*q = -3*j - 342. Which is smaller: 0 or j? j Let h(m) = -m**3 - 12*m**2 - 6*m - 23. Let o be h(-11). Do o and -77 have the same value? False Let x(m) = -4*m - 3. Let p be x(3). Is -14 != p? True Let w = 100/117 + -14/13. Suppose -2*t - 9 = o + t, 9 = -3*t. Suppose 3*s - 3 = -o*s. Which is bigger: w or s? s Let m = -2.2 - -0.2. Let c = -1 - m. Let d = 1 - c. Is d greater than -2? True Let m(y) = -y + 11. Let l be m(6). Let r(f) = f + 4. Let q be r(-4). Suppose c - u - 4*u = -6, 2*c + l*u - 3 = q. Which is greater: c or -4/5? -4/5 Let x(y) = -y**3 + 10*y**2 + y - 11. Let l be x(10). Which is smaller: -2 or l? -2 Let d be (-1)/(1 - (-1 - -1)). Let v = -57 + 60. Is d at least as big as v? False Suppose -z = 5*n + 5, -5*n + 2*n - 3*z = 3. Which is smaller: 2/15 or n? n Let h(n) = n - 13. Let u be h(13). Which is smaller: 1/4 or u? u Let x be (2/2)/(-2 - -1). Let o(y) = y - 7. Let k be o(7). Suppose -3*r = -k*r. Is r not equal to x? True Let k = 5 - 12. Let q(p) = p + 17. Let i be q(k). Let t be (-22)/i + 0 + 2. Is -1 at least as big as t? False Suppose 2*o = -4 - 0. Let n be (1/11)/((-2)/(-15)). Let d = 9/110 - n. Which is smaller: o or d? o Let t = -0.49 - 0.01. Suppose -y - 5 = -3*i + 5*i, 11 = -y - 4*i. Is y at least as big as t? True Let z(x) = -5*x - 14. Let i(j) = j. Let h(v) = 6*i(v) + z(v). Let l be h(8). Which is smaller: -5 or l? l Let f = -2063/496 + 65/16. Are f and -1 non-equal? True Let u = 239/20 - 43/4. Suppose y + 2*a + 4 = 0, -3*a + 2*a - 11 = -4*y. Is y bigger than u? True Let x(a) = -a**2 + 1. Let g be x(-1). Suppose 2*p = -g*p. Let q(y) = y**2 + 6*y. Let r be q(-6). Do r and p have the same value? True Let b(h) = -h**3 + 16*h**2 - 2*h + 33. Let x be b(16). Is x >= 11/12? True Suppose -4*q - 2*b - 18 = 0, -5*q = b + b + 23. Suppose 2*r - 4 = 2*f, 5*f - 4*f - 10 = 5*r. Is f > q? False Let d(c) = c + 6. Let b be d(-3). Is 5 greater than b? True Suppose d - 2*x + 1 = 2*x, -4*d - 4 = 2*x. Let b = -4 + d. Do -4 and b have different values? True Suppose -7*v = -3*v. Suppose 4*u + 104 = -v*u. Let r be -2*(-1 + u/(-24)). Is 1 smaller than r? False Let j = 61/140 + -1/28. Which is greater: j or 3? 3 Let i be 590/(-10)*-1*-1*2. Are -118 and i nonequal? False Let c(g) = -g**2 + 6*g - 5. Let h be c(4). Suppose -8 = -2*d, a + 3*a - 3*d = 20. Do a and h have different values? True Let v = -5 - -8. Suppose -v*x - 2 = 2*u, 0 = -x - 0*u + 4*u + 4. Is 0 <= x? True Suppose 7*u - 2*u - 130 = 0. Let i be 6/(-39) - (-290)/u. Suppose -3*n + 4*m = -i, 2*n + 6*m + 4 = 3*m. Which is smaller: n or 3/2? n Suppose 0 = 4*i - 83 + 15. Suppose -i = 4*s + 3. Suppose 2*d - 4 = 5*o + 1, 3*d = 5*o. Do s and d have different values? False Let t be (-703)/295 - -2*1. Let l = -1/59 + t. Is l >= -1? True Let d(p) = -2*p + 3. Let o be d(7). Let s = 12 + o. Let q(m) = -m**3 - 5*m**2 - 5*m - 2. Let i be q(-4). Which is smaller: s or i? s Let p = -3 - -3. Let b = 1 + p. Let r = 0.8 - b. Are 0.2 and r equal? False Let c = 2/55 + -7/11. Which is bigger: c or 0? 0 Let c = -6.5 - -0.5. Let j = 6 + c. Which is smaller: 0.3 or j? j Suppose 0 = -3*s + 6, -3*m - s = -m. Is m smaller than -1? False Let b = 0 + -0.1. Let m = -366 - -359.84. Let p = -0.16 - m. Are p and b equal? False Let z(b) = -2*b - 1. Let d be z(-1). Let m = -11/17 - -329/561. Let k = -43/165 - m. Which is smaller: d or k? k Let l = -3 - -8. Suppose -4*q + 14 - l = -r, -4*r - 36 = 3*q. Is -9 equal to r? True Let z = -2/119 - -135/952. Which is smaller: 0 or z? 0 Let j = 35 - 21. Is j greater than 14? False Suppose -2*s + 2 = 4. Which is bigger: s or 2/39? 2/39 Let w(t) = 11*t - 31. Let j be w(3). Let i = 3 + 0. Suppose d + i = 4. Is d greater than j? False Let x be 23/99 + (-2)/(-9). Is x greater than or equal to 0? True Let d = -21 - 0. Which is bigger: 0 or d? 0 Suppose -3*z = z + 4. Which is greater: z or 1/29? 1/29 Let x = 77/20 - 18/5. Let c = -18 - -11. Let r = c - -6.9. Is x greater than or equal to r? True Suppose 4*r = 5*w + 2*r + 4, w = -5*r + 10. Is w at most as big as 5/7? True Let z(t) = t + 2. Let i be z(-6). Let c be ((-15)/(-25))/(-1)*(5 + 0). Is i less than or equal to c? True Suppose 2*l = -3*l + 2*r - 5, -5*l = 5*r + 40. Let t(v) = -2*v + 1. Let s be t(5). Let h = s - -5. Are l and h unequal? True Let w = 28 - 28. Is w at least as big as -3? True Let z = -0.06 - -1.07. Let g = z - -0.09. Let t = 1 - g. Which is greater: t or -0.2? t Let l = -68.8 - -69. Are l and -2/5 non-equal? True Let r = -81 + 570/7. Which is smaller: r or 1? r Let y(m) = 2*m. Let o be y(2). Is o equal to 5? False Let s be 38/45 - (-4)/(-10). Let i = -1679 - -60451/36. Let b = i - s. Which is greater: -1 or b? b Let o be (1 + 1)*(-7)/(-2). Let h = o + -5. Suppose 3*i - 11 = -2. Does h = i? False Suppose 0*i - 2*i = 2*f + 12, -5*f + 10 = i. Suppose -y = 3*h - 6*h + 7, 0 = h + 2*y + 7. Let c be h/2 + i/(-4). Do c and 1 have the same value? False Let l(x) = -x**2 - x + 2. Suppose 2*o - 3*o + 9 = -5*z, -o - 5 = 2*z. Let b = 3 + o. Let i be l(b). Is -2 at least as big as i? True Let q be 0 + (2/(-7))/1. Let j = -0.3817 - 0.0183. Which is greater: q or j? q Suppose 5*t = 3*t + 2*s - 12, -4*s = 5*t - 6. Let r(z) = -z + 2. Let f be r(3). Which is greater: t or f? f Let g be 36/48 - (0 + 2)/(-8). Which is smaller: g or 2/89? 2/89 Let r(s) = -s**3 - 17*s**2 - 17*s - 16. Let b be r(-16). Is b smaller than 10/9? True Let j = 8 + -2. Let w = -11.2 + j. Let y = -5 - w. Are 2/5 and y non-equal? True Let a be 1388*(-3)/(-21) - 1. Suppose 79 + 512 = 3*l. Let j = a - l. Which is greater: j or 0? j Let g(l) = l**2 - l - 3. Let o be g(7). Suppose -4*k = -d + 48, -2*k - o = -d + 3. Let c be 75/d - (1 + 1). Is c at most as big as 1? True Let x be 5/(-5) + (-2)/(-5). Let l =
{ "pile_set_name": "DM Mathematics" }
fourth smallest value? (a) 2 (b) -0.09 (c) 7 (d) -0.4 c What is the biggest value in -1/4, 0.2, -5, 2, 15? 15 Which is the second smallest value? (a) 2 (b) -0.05 (c) -1/2 (d) 1/9 b Which is the third smallest value? (a) -2/9 (b) 1/90 (c) -3 (d) -1/4 a Which is the third biggest value? (a) -5.05 (b) 1/8 (c) 4 a What is the smallest value in -1046, 2, 0.2, 0, 1? -1046 What is the third smallest value in 2/23, -3/7, -3, -0.07, 0.4? -0.07 What is the third smallest value in 1/4, 2/3, -1/7, -2/5? 1/4 Which is the third smallest value? (a) -1/3 (b) -5/3 (c) 2/11 (d) -12/25 a Which is the third biggest value? (a) -2 (b) 36 (c) 3 a Which is the third smallest value? (a) -1/3 (b) -2/455 (c) 2 (d) -2/11 b Which is the third smallest value? (a) -0.5 (b) 1/6 (c) 7/3 (d) -3 (e) 4 b What is the biggest value in -2, 0.4, -0.118? 0.4 What is the third biggest value in 1, -0.1, -0.021? -0.1 Which is the second smallest value? (a) -6.4 (b) -1 (c) -0.5 b Which is the second smallest value? (a) -1 (b) 0.4 (c) 175 b What is the biggest value in 1, -4, 8/17, 0.5, -0.4? 1 Which is the third biggest value? (a) -4 (b) 4/5 (c) 11 a Which is the fourth smallest value? (a) -5 (b) -3 (c) -5/6 (d) 3/10 d Which is the smallest value? (a) 8 (b) 0 (c) 0.1 (d) -1 d What is the smallest value in -3.4, -4, -5, -0.5, 34? -5 Which is the third smallest value? (a) -2/13 (b) -0.233 (c) 5 (d) 2 d Which is the fourth smallest value? (a) -2/13 (b) 1 (c) 251 (d) -1/3 c What is the biggest value in 1, 22, 2/71? 22 Which is the third smallest value? (a) -11.3 (b) -3 (c) -3/7 c Which is the biggest value? (a) -5 (b) -2046/13 (c) 2 c What is the fourth biggest value in -2, 3, -8, -1/7, -4? -4 Which is the biggest value? (a) 23 (b) -0.3 (c) 235 c Which is the biggest value? (a) -32 (b) -43 (c) 2 c Which is the smallest value? (a) 0.4 (b) 2/13 (c) 0 (d) -10 d What is the second biggest value in -1/6, 2, 1, -89? 1 What is the second smallest value in -2/159, -5, 0, 1? -2/159 Which is the smallest value? (a) 2/3 (b) 0.1 (c) 7/6 (d) 0 d Which is the third smallest value? (a) -877 (b) -3 (c) 4 c What is the second smallest value in -1, 5, 0.3? 0.3 Which is the smallest value? (a) 5 (b) -10 (c) -3/5 (d) 0.04 (e) 0 b What is the third smallest value in 25, 0, -2/3, 1/3? 1/3 Which is the third biggest value? (a) -3 (b) 73 (c) -0.2 a What is the fourth smallest value in 1/4, -1, 1/5, 3? 3 What is the third biggest value in 2/97, -2/7, -0.9? -0.9 Which is the fourth smallest value? (a) -3 (b) -0.019 (c) 1/2 (d) -1/3 (e) -1/2 b What is the fourth biggest value in 6, 3/4, 26, -8? -8 Which is the smallest value? (a) 1/4 (b) -4 (c) -455 (d) 27 c Which is the second smallest value? (a) 2 (b) -47 (c) 0.09 c Which is the third biggest value? (a) 0.9 (b) 9 (c) 2 (d) -3 a Which is the fourth smallest value? (a) 4.5 (b) 5 (c) 2/3 (d) -2/19 b What is the biggest value in -2/11, -5, -0.3, -0.2, -197? -2/11 What is the second biggest value in 50, -1, -0.1? -0.1 Which is the fourth biggest value? (a) 0 (b) -1/11 (c) 2/11 (d) -0.04 b Which is the second biggest value? (a) -7 (b) -6 (c) -0.9 b What is the third biggest value in -0.5, 1.24, -4? -4 Which is the third smallest value? (a) -2/5 (b) -13 (c) -3 a What is the smallest value in 89, -1/7, 0.1, 0.3, 4? -1/7 Which is the second biggest value? (a) 2/3 (b) -14 (c) -5/4 c What is the fourth smallest value in 2/19, -0.2, 2/5, 1/23? 2/5 What is the fourth smallest value in 1/6, -1421, -4, 5? 5 What is the third biggest value in 5, 0.4, -0.2, 17, -4/29? 0.4 What is the smallest value in 51, 10, 0.6? 0.6 What is the third smallest value in 168, 0.5, 3/5? 168 What is the third biggest value in -0.27, 1, 1/4, 2/3? 1/4 What is the smallest value in 4, 5, -4, 1, -0.2? -4 What is the second smallest value in -1, 10, 0.5, 2.1, -2? -1 Which is the biggest value? (a) 1/8 (b) 0.17 (c) 10 c What is the second smallest value in -0.2, 11, 6? 6 Which is the second smallest value? (a) -0.1 (b) 12.24 (c) 2 c Which is the third biggest value? (a) 0.5 (b) 17 (c) -4 c What is the third biggest value in -4, -78, -5? -78 What is the third smallest value in -2, -0.3, -0.2, -0.05? -0.2 What is the second smallest value in 13, -4, 14/23, 0.1? 0.1 Which is the smallest value? (a) -227 (b) -2 (c) -4 a Which is the second smallest value? (a) -2/5 (b) -20 (c) -7/6 c Which is the fifth smallest value? (a) -1/12 (b) 5 (c) 0 (d) -4 (e) 3 b What is the second biggest value in -2/7, 7/4, -2/3? -2/7 What is the biggest value in 3, 52, 2/9? 52 What is the smallest value in 14, 1, 5? 1 Which is the fourth smallest value? (a) -2/3 (b) -10/9 (c) 5 (d) -13/3 (e) 3 e What is the third biggest value in -1/5, -4, -1/4? -4 Which is the biggest value? (a) 4 (b) -64 (c) -2/5 a Which is the biggest value? (a) 5 (b) -0.6 (c) -1 (d) 4 a What is the third smallest value in -5, -3, -36.4? -3 Which is the biggest value? (a) 1.5 (b) 2 (c) -1/9 (d) 6 (e) 3 d Which is the third smallest value? (a) -3 (b) 5.9 (c) 2 b Which is the second smallest value? (a) 0.1 (b) 7 (c) -258 a Which is the biggest value? (a) -5 (b) -0.4 (c) -0.6 (d) 3 d What is the second smallest value in 5, -2/9, 4/7, 2/11? 2/11 Which is the biggest value? (a) -18 (b) 3 (c) 20 c Which is the biggest value? (a) -3/10 (b) 0.5 (c) 61 c Which is the third smallest value? (a) -150 (b) -0.2 (c) -4 b What is the third biggest value in 1, -30, 5, 1/8? 1/8 What is the smallest value in 27/5, 2, -0.13? -0.13 Which is the third smallest value? (a) 25 (b) -2 (c) -5 (d) 0 d Which is the third biggest value? (a) -2 (b) -9.6 (c) -1 b What is the third smallest value in -6, -4/35, -0.5? -4/35 Which is the smallest value? (a) 2 (b) -2/215 (c) 5 (d) -5 d Which is the biggest value? (a) -60 (b) -0.5 (c) -0.04 (d) 2 d Which is the smallest value? (a) -4 (b) 11 (c) 0.2 a What is the biggest value in -2/393, -0.3, -4? -2/393 Which is the fifth biggest value? (a) -7 (b) -4 (c) -5 (d) 2/5 (e) 10 a Which is the smallest value? (a) 0.2 (b) 0 (c) 118 b Which is the third biggest value? (a) -6 (b) -60/17 (c) 0.4 a What is the fifth biggest value in -2/3, -0.1, -1, 11/2, 4? -1 What is the third smallest value in -1, 4.17, -1/4? 4.17 What is the second biggest value in -3, -1, -3.99? -3 Which is the second smallest value? (a) -0.5 (b) 0.069 (c) -0.4 (d) 0 c Which is the third biggest value? (a) 3 (b) 2 (c) 5/9 (d) -1 c Which is the biggest value? (a) -5 (b) -3 (c) -4159 (d) 0.1 d What is the third biggest value in 0.7, -1.8, 0.08? -1.8 What is the biggest value in -0.2, 4, -61? 4 What is the third biggest value in 0.2, -0.065, 1/8? -0.065 Which is the third biggest value? (a) 9.9 (b) 13 (c) -6 c What is the third smallest value in -20/3, -0.2, 4? 4 Which is the third biggest value? (a) -0.2 (b) -32 (c) 1 (d) -0.09 (e) 1/3 d What is the second smallest value in -1/4, -1/8, -10, 6/7? -1/4 Which is the third biggest value? (a) -2/15 (b) 74 (c) -1 (d) -4/5 d What is the fifth biggest value in -3, -0.4, -5, -11, -12? -12 Which is the second smallest value? (a) 4 (b) 32 (c) 5/6 (d) 2 (e) -2/5 c What is the second biggest value in 0, -100, 1/4? 0 What is the second biggest value in 1, -13, 4/5, 23? 1 Which is the fourth biggest value? (a) 16 (b) 0.5 (c) 5 (d) -1/8 d Which is the biggest value? (a) 5 (b) 2/3 (c) -4 (d) 0 a Which is the third smallest value? (a) 7/2 (b) 1 (c) 5 (d) -138 a What is the second biggest value in -1, 3, -838, -1/6? -1/6 What is the smallest value in 0.4, 0.5, 2/73? 2/73 What is the fourth smallest value in -3, 2, 19.6, -1, 5? 5 Which is the smallest value? (a) 2 (b) -0.3 (c) 4 (d) 5/2 (e) 22.6 b Which is the biggest value? (a) 0.05 (b) -2/9 (c) -1/2 (d) -16 a What is the biggest value in 5, -2, 35, 1, 2? 35 Which is the biggest value? (a) 10 (b) 0.1 (c) 4 (d) -4 a What is the fourth biggest value in 1/7, -2/5, -8, 4? -8 What is the second biggest value in -2, -5, -0.3? -2 Which is the biggest value? (a) 49 (b) -21 (c) -1 a Which is the second biggest value? (a) 4 (b) -2/3 (c) -6/11 (d) 3 d Which is
{ "pile_set_name": "DM Mathematics" }
AM and 11:41 AM? 186 What is 564 minutes before 10:50 PM? 1:26 PM What is 572 minutes before 4:48 AM? 7:16 PM How many minutes are there between 1:58 AM and 7:18 AM? 320 What is 589 minutes after 10:57 AM? 8:46 PM How many minutes are there between 5:41 AM and 1:31 PM? 470 What is 195 minutes before 2:37 PM? 11:22 AM What is 703 minutes after 10:00 AM? 9:43 PM How many minutes are there between 6:59 AM and 3:01 PM? 482 How many minutes are there between 11:22 AM and 8:25 PM? 543 How many minutes are there between 6:52 AM and 3:44 PM? 532 How many minutes are there between 2:21 AM and 9:59 AM? 458 What is 552 minutes before 4:08 PM? 6:56 AM What is 596 minutes before 12:43 PM? 2:47 AM How many minutes are there between 1:27 AM and 12:36 PM? 669 What is 709 minutes after 4:24 AM? 4:13 PM How many minutes are there between 10:13 PM and 3:04 AM? 291 How many minutes are there between 3:05 AM and 1:22 PM? 617 What is 661 minutes before 6:54 AM? 7:53 PM How many minutes are there between 9:46 PM and 7:33 AM? 587 How many minutes are there between 12:43 AM and 11:46 AM? 663 How many minutes are there between 2:05 AM and 10:42 AM? 517 What is 576 minutes before 11:27 AM? 1:51 AM What is 115 minutes before 8:22 AM? 6:27 AM How many minutes are there between 11:15 PM and 3:06 AM? 231 What is 170 minutes before 4:53 AM? 2:03 AM What is 661 minutes before 10:11 AM? 11:10 PM How many minutes are there between 2:42 PM and 1:00 AM? 618 How many minutes are there between 10:02 PM and 1:25 AM? 203 What is 578 minutes after 3:54 PM? 1:32 AM What is 345 minutes after 7:02 AM? 12:47 PM What is 315 minutes after 4:32 AM? 9:47 AM What is 458 minutes before 3:43 PM? 8:05 AM What is 320 minutes after 5:15 PM? 10:35 PM How many minutes are there between 6:46 AM and 8:14 AM? 88 How many minutes are there between 8:19 PM and 7:38 AM? 679 What is 240 minutes before 6:27 AM? 2:27 AM How many minutes are there between 8:24 PM and 2:08 AM? 344 What is 142 minutes after 5:18 AM? 7:40 AM What is 240 minutes after 5:18 PM? 9:18 PM How many minutes are there between 12:55 PM and 1:48 PM? 53 What is 360 minutes before 3:54 AM? 9:54 PM How many minutes are there between 9:46 AM and 9:45 PM? 719 What is 457 minutes before 1:47 PM? 6:10 AM How many minutes are there between 1:19 PM and 10:03 PM? 524 How many minutes are there between 12:45 AM and 10:04 AM? 559 What is 439 minutes before 1:21 AM? 6:02 PM How many minutes are there between 6:25 AM and 4:21 PM? 596 What is 586 minutes before 12:58 PM? 3:12 AM What is 186 minutes after 9:15 PM? 12:21 AM What is 332 minutes before 2:42 AM? 9:10 PM What is 595 minutes before 12:17 PM? 2:22 AM What is 127 minutes before 5:04 PM? 2:57 PM What is 372 minutes after 3:42 AM? 9:54 AM How many minutes are there between 6:04 AM and 8:25 AM? 141 How many minutes are there between 1:29 AM and 9:06 AM? 457 How many minutes are there between 11:03 AM and 6:55 PM? 472 How many minutes are there between 5:02 PM and 7:24 PM? 142 How many minutes are there between 8:02 PM and 8:54 PM? 52 How many minutes are there between 12:59 PM and 8:18 PM? 439 What is 556 minutes after 6:59 PM? 4:15 AM What is 130 minutes after 3:36 PM? 5:46 PM What is 38 minutes after 11:36 AM? 12:14 PM How many minutes are there between 5:11 PM and 5:59 PM? 48 What is 331 minutes before 2:26 AM? 8:55 PM What is 490 minutes after 1:00 PM? 9:10 PM How many minutes are there between 7:14 AM and 2:52 PM? 458 How many minutes are there between 7:20 PM and 8:01 PM? 41 What is 669 minutes after 5:47 AM? 4:56 PM What is 661 minutes before 12:12 AM? 1:11 PM How many minutes are there between 8:55 PM and 11:24 PM? 149 What is 39 minutes after 10:54 AM? 11:33 AM What is 605 minutes before 1:10 PM? 3:05 AM What is 607 minutes after 4:29 PM? 2:36 AM How many minutes are there between 9:44 PM and 9:39 AM? 715 What is 398 minutes before 4:53 AM? 10:15 PM How many minutes are there between 1:04 PM and 9:12 PM? 488 How many minutes are there between 11:26 PM and 12:20 AM? 54 What is 664 minutes before 11:41 AM? 12:37 AM What is 675 minutes before 12:06 PM? 12:51 AM What is 59 minutes before 4:33 AM? 3:34 AM What is 444 minutes before 12:15 AM? 4:51 PM How many minutes are there between 3:50 AM and 7:48 AM? 238 What is 568 minutes before 10:46 AM? 1:18 AM What is 289 minutes after 4:40 AM? 9:29 AM What is 525 minutes after 7:37 PM? 4:22 AM How many minutes are there between 8:27 AM and 7:46 PM? 679 How many minutes are there between 3:35 PM and 1:55 AM? 620 What is 625 minutes before 8:00 AM? 9:35 PM What is 636 minutes before 10:03 AM? 11:27 PM What is 265 minutes before 12:04 AM? 7:39 PM What is 315 minutes after 7:18 PM? 12:33 AM How many minutes are there between 9:47 PM and 10:07 PM? 20 What is 298 minutes after 5:48 AM? 10:46 AM What is 327 minutes before 10:41 PM? 5:14 PM What is 715 minutes before 5:31 PM? 5:36 AM What is 11 minutes before 2:21 AM? 2:10 AM What is 123 minutes after 4:57 PM? 7:00 PM What is 158 minutes after 8:02 AM? 10:40 AM What is 295 minutes before 8:30 AM? 3:35 AM How many minutes are there between 7:51 AM and 12:05 PM? 254 What is 103 minutes before 6:09 PM? 4:26 PM What is 467 minutes before 3:04 AM? 7:17 PM What is 416 minutes after 5:30 AM? 12:26 PM What is 647 minutes before 1:15 AM? 2:28 PM How many minutes are there between 8:14 AM and 6:42 PM? 628 What is 374 minutes before 2:36 PM? 8:22 AM How many minutes are there between 12:53 AM and 9:56 AM? 543 What is 543 minutes after 10:13 AM? 7:16 PM How many minutes are there between 5:50 PM and 11:10 PM? 320 How many minutes are there between 12:38 AM and 8:40 AM? 482 How many minutes are there between 11:25 AM and 8:17 PM? 532 How many minutes are there between 9:15 PM and 9:48 PM? 33 How many minutes are there between 7:11 AM and 11:35 AM? 264 What is 631 minutes before 4:57 PM? 6:26 AM How many minutes are there between 6:12 PM and 4:37 AM? 625 How many minutes are there between 6:06 PM and 6:44 PM? 38 How many minutes are there between 9:39 AM and 11:56 AM? 137 How many minutes are there between 6:02 AM and 1:39 PM? 457 What is 416 minutes before 10:56 PM? 4:00 PM What is 6 minutes before 4:19 AM? 4:13 AM How many minutes are there between 3:45 PM and 5:42 PM? 117 How many minutes are there between 12:42 PM and 11:37 PM? 655 What is 582 minutes before 3:24 AM? 5:42 PM What is 715 minutes before 4:29 PM? 4:34 AM How many minutes are there between 4:29 PM and 10:54 PM? 385 How many minutes are there between 6:06 PM and 7:37 PM? 91 How many minutes are there between 9:43 PM and 11:15 PM? 92 What is 445 minutes after 1:53 PM? 9:18 PM How many minutes are there between 12:26 AM and 8:27 AM? 481 What is 324 minutes after 12:08 AM? 5:32 AM How many minutes are there between 2:21 AM and 10:15 AM? 474 What is 223 minutes after 7:17 AM? 11:00 AM How many minutes are there between 6:28 AM and 4:46 PM? 618 What is 462 minutes before 12:50 PM? 5:08 AM How many minutes are there between 4:47 PM and 4:57 PM? 10 How many minutes are there between 9:35 AM and 8:09 PM? 634 How many minutes are there between 6:15 PM and 11:17 PM? 302 What is 260 minutes before 6:34 PM? 2:14 PM What is 454 minutes before 12:22 PM? 4:48 AM How many minutes are there between 6:26 PM and 9:05 PM? 159 What is 582 minutes after 8:51 AM? 6:33 PM What is 39 minutes before 3:18 PM? 2:39 PM How many minutes are there between 7:21 AM and 1:05 PM? 344 How many minutes are there between 12:24 AM and 11:52 AM? 688 What is 652 minutes after 2:08 PM? 1:00 AM How many minutes are there between 3:52 PM and 2:22 AM? 630 What is 672 minutes after 5:03 PM? 4:15 AM What is 35 minutes before 4:18 PM? 3:43 PM What is 492 minutes after 8:09 AM? 4:21 PM What is 677 minutes after 4:16 AM? 3:33 PM How many minutes are there between 9:50 PM and 7:28 AM? 578 What is 592 minutes before 7:04 AM? 9:12 PM What is 254 minutes after 11:07 AM? 3:21 PM How many minutes are there between 2:55 PM and 2:05 AM? 670 What is 502 minutes after 1:19 AM? 9:41 AM What is 171 minutes before 12:20 PM? 9:29 AM How many minutes are there between 8:50 AM and 11:51 AM? 181 How many minutes are there between 11:20 PM and 4:48 AM? 328 What is 277 minutes after 8:53 PM? 1:30 AM How many minutes are
{ "pile_set_name": "DM Mathematics" }
+ 0*u + 6. Let v be b(4). Solve -2*c - v*r = 8, 0 = r - 6*r for c. -4 Let j = -757 + 760. Solve -4*y - 5 = y - j*n, 2*y + 21 = 5*n for y. 2 Suppose -5 = -4*i + 3*v + 27, i + v = 1. Suppose -13*k + i*k = 0. Let t be (-4)/((-1)/((-1)/(-2))). Solve 2*f + k = c - 2, -t*c + 11 = 3*f for f. 1 Suppose -5 = -j + 1. Let q = 9 - j. Suppose -2*l + 15 = 3*l. Solve q*r - 1 = 5*c - l*c, 1 = -c + 2*r for c. 1 Let p be (26/(-39))/(6/(-27)). Suppose 9*u - 7*u = 0. Solve -3*g - 3 = -3*c - u*c, -p*c = 4*g + 11 for g. -2 Let w(q) = -q**2 - 23*q - 125. Let z be w(-10). Solve -9 = 3*n - v + 1, 5*v = z for n. -3 Suppose 3*h - 5*c - 24 = 0, 3 = 5*h + 4*c - 0*c. Let b = -20186 + 20189. Solve 0 = 2*d - b*d - 5, -h*f - 34 = 5*d for f. -3 Let x(g) be the third derivative of g**5/30 + 5*g**4/24 - 3*g**3/2 + 2*g**2 + 1. Let y be x(-4). Solve 3*n - y*w - 13 = 2*w, 2*n + w = 0 for n. 1 Suppose 15*c + 10 = 16*c. Suppose 27 = c*o - 3. Solve -o*s - 1 = s + 3*d, -5*s = 5*d - 5 for s. -4 Suppose 0 = 219*t - 212*t - 21. Solve t*l = -v + 2*v + 17, -10 = -5*v - 4*l for v. -2 Let x(o) = 2*o - 53. Let a be x(28). Suppose -a*g - 5*d = -3*d - 29, -9 = -3*g + 3*d. Solve -2*w = 4*i - 37 + g, i = w for w. 5 Suppose y + y + 5*m - 7 = 0, -4 = -3*y - m. Let c be 1 + (-3 - -3) - y. Solve -2*b = u + 9, c*b + 3*b + 13 = -2*u for b. -5 Suppose l + 3*t = 14 + 1, 3*l = 3*t - 3. Solve 0*c - 5*b = -4*c + 35, -l*c - 2*b = -9 for c. 5 Let q = 1766 - 1762. Solve -q*x = 4*n, -5*x - 13 = -5*n - 33 for x. 2 Let n(z) = z**2 - 28*z + 32. Let h be n(27). Solve -5*i + 14 = -6*r + 4*r, r = -h*i + 8 for r. -2 Suppose -19*j + 539 - 197 = 0. Solve -2*h = 3*w + 28 - 44, 4*w + h - j = 0 for w. 4 Let x be (-1890)/(-110) - 3/(33/2). Solve 5*c = -2*d + x, 2*c - c = 3*d for c. 3 Suppose 0*d + 2*d = 2. Let j = 186 + -182. Suppose -5*c + 11 = j*a, 3*a = 4*c - 6 - 9. Solve 3*o - w = -14, 5*w + d = -c*o - 1 for o. -4 Suppose -2*o + 0*o + 8 = 0. Let y be (-2 - -2)/(-5 + o). Suppose 0 = -k - y + 5. Solve 5*g = -k*a + 1 + 14, -4*g + 20 = 0 for a. -2 Let n(h) = -38*h - 643. Let d be n(-17). Solve 4*t - 14 = q + 9, 0 = -5*q - d*t for q. -3 Let u = 216 - 97. Let j = 124 - u. Solve -4*k = -3*r + 11, -6*k - 15 = -j*r - k for r. 1 Suppose -3*v - 3*f = -9, 15*v - 18*v = f - 3. Solve -l + 2*a - a + 9 = v, 2*l - 4*a = 26 for l. 5 Let l be 15/12 + 1/(12/21). Let o(a) = a**3 - 6*a**2 + 6*a - 5. Let r be o(5). Solve 0*u + 10 = 2*d - 2*u, r = d + l*u + 15 for d. 0 Let t(s) = 39*s**2 + s - 1. Let p be t(1). Suppose p = -2*j + 115. Let r = j - 35. Solve 5*f = 2*f + 4*q + 5, 0 = -r*f - 2*q + 11 for f. 3 Let p = -90 + 94. Suppose -p - 2 = -3*u. Solve -u = 4*i - 2*i, 3*i + 1 = -y for y. 2 Suppose -71 - 69 = 4*f. Let g be 214/14 - (-10)/f. Solve -5*d - 4*y + 0*y - g = 0, 0 = -2*y for d. -3 Let h(o) = 2*o + 49. Let s = 52 + -75. Let r be h(s). Solve -2*q = 4*g + q + 4, 3*g + r = q for g. -1 Let x(w) = 2*w**2 - 4*w - 1. Let r be x(-1). Solve -9 = k - r*c, c = -2*c + 6 for k. 1 Suppose 14 = 3*l + 5. Suppose b - 4*q = -3*b + 28, -4*b + 24 = -2*q. Solve b*d = 20, -3*d + 10 + 5 = -l*n for n. -1 Let v be (-5)/1*(-663)/(-65). Let l = v + 51. Solve l = -q + 2*s + 4 - 1, q + s = -9 for q. -5 Let j(p) = p**2 - p - 3. Let q be j(3). Suppose -2*y - 46 = -6*y - 2*u, -2*u = -2*y + 32. Solve q*b - 3*v + v - 16 = 0, 4*b - y = v for b. 2 Let r be 2/(-3) + (-26)/6. Let y(o) = o + 7. Let u be y(r). Let t be 3/((-75)/(-320)) - 26/(-130). Solve -17 = -u*s - 3*d, 0 = -2*s + 5*d - t - 10 for s. 1 Let b be (-36)/16*12/(-9). Solve -12 = b*j - 0*j - 3*o, -3*o + 4 = j for j. -2 Suppose -6*i + 6 = -3*i. Suppose -l + i*l + 4*t - 18 = 0, -t = -2. Suppose 9*q = 4*q + l. Solve -q*w + 5*w - 11 = 2*m, 5*m = -w - 2 for w. 3 Let t(j) = j**2 + 3*j. Suppose -4*w - 22 + 10 = 0. Let q be t(w). Let o be 1 - (6/(-2) - 0). Solve o*y - 4*m + 24 = q, -4 + 12 = 2*m for y. -2 Let q(d) = -6*d - 7*d + 13*d - 4 + 6*d. Let l be q(1). Solve l*i - 27 = 5*m, 2*i + 8 = -5*m - 15 for i. 1 Suppose 180 = -5*w + 4*z - 0*z, 0 = w - z + 36. Let r = w + 41. Solve 5*i = 3*i - r*u - 10, 5*i = -4*u + 9 for i. 5 Let b = 323 + -150. Let t = -168 + b. Suppose 3*d = 2*y - 25, -d + 10 = -y - 4*d. Solve 4 = y*f - m - 2*m, -t*m = -2*f + 13 for f. -1 Let q = 620 + -618. Solve -v - 4*b + 4 = 0, 0 = 3*v - 5*v - 3*b - q for v. -4 Let l(a) = 566*a**2 - 3*a - 567*a**2 - 3 + a**3 + 4*a. Let c be l(2). Solve c*f - 2 = -5*d, -d - 3*d + f = -5 for d. 1 Suppose -2*m = 5*z - 30, 0 = 2*z - 5*m + 3*m + 2. Suppose 66*k - 3 - 63 = 0. Solve -4 = -z*j + g, -j + k = 5*g - 0 for j. 1 Let m = 58 + -48. Suppose -a + 0 - 5 = 0. Let i = -2 - a. Solve -5*w = 2*z, -5*w - i*z = z + m for w. 2 Suppose 3*w = 3*j + 15, -3*w - 8*j + 13*j = -17. Solve 0 = 4*l + 5*k + 1, 0 = -4*k - w for l. 1 Suppose 0 = 5*j + 4*k - 147, 5*j = j + 2*k + 102. Solve -4*w = -3*c + j, -4*c + 3*w + 11 = 6*w for c. 5 Let p(z) = 6*z**2 + 88*z - 28. Let t be p(-15). Solve -t*i = 0, 4*h + 3*i - 6*i - 20 = 0 for h. 5 Let l = -735 + 740. Solve -l*k = -5*p + 10, -4*k = -5*p + 2 + 8 for k. 0 Let r = 10 - 22. Let n be 2/r*-27 + (-1)/2. Solve 3 - 21 = s - 4*g, -4*s = g + n for s. -2 Let d(z) = -5*z - 4. Let u be d(-10). Let g = 48 - u. Solve -g*k - 4 = -3*b - k, 0 = 3*k - 15 for b. 3 Let m = 535 + -525. Solve 5*q + 4*t + m = 0, -3*t + 2 - 21 = -2*q for q. 2 Let w(o) = -o + 8. Let a be w(6). Let h(t) = t**2 + t + 5. Suppose -2*z = -z. Let k be h(z). Solve a - 3 = 2*y + v, -k*v = y + 5 for y. 0 Let b(h) = 6*h - 3. Let t = 42 + -38. Let k be b(t). Solve -u + k = -4*a, 4*u + 0*u - 5*a = 29 for u. 1 Let r(a) = -a**3 - a**2 - a - 5. Let p be r(0). Let u = p - 3. Let x be (-117)/u - (-6)/16. Solve 4*b - 39 = q - x, b + 2*q + 3 = 0 for b. 5 Let o(s) = s - 1. Let h(t) = t**2 + t - 13. Let p(f) = -h(f) + 5*o(f). Let u be p(5). Solve c = -3*i - 10, -2*c = u*i + 2 + 6 for i. -4 Suppose b + 4*b = 4*h - 16, 5*h - 20 = 0. Let g = 27 + -9. Solve -5*p = 3*q - 3*p - g, -4*p + 12 = b for q. 4 Let a = 25 + -22. Suppose 4*m - a*k = 4 + 13, 2*m - 5*k = 5. Let j = 11 - 9. Solve 3*u + 2*x = -6, -2*u + j*x - m*x = -1 for u. -4 Let y(q) = q - 4. Let m be y(7). Suppose -2*k + 3 = -4*n - 29, n - 62 = -3*k. Solve m*c - i - 15 = 0, -i = -4*c - 3*i + k for c. 5 Let m be ((-2)/6*0)/2. Suppose m = -p - 0*p + 2, -3*p = -5*g + 249. Suppose 5*z - 2*z - 5*a = g, 0 = 3*z - a - 39. Solve -s - z = 2*s, -v = -3*s - 10 for v. -2 Let q be 83/6 + (-3)/(-18). Suppose -12*x = -q*x + 44. Solve -4*f - r + 12 = -6*r, -3*f - 4*r = x for f. -2 Let z = 1782 - 1770. Let r be (1 + -3 + 0)*-1. Solve m + 5*f - z = 2*f, -5 = 5*m + r*f for m. -3 Let n(u) = 33*u + 240. Let g be n(-7). Suppose -2 = 3*l - 4*w - 0, l = 4*w - 14. Suppose 0 = l*d - 3*d - g. Solve -i + 0*i - 11 = -5*b, 1 = -d*i - b for i. -1 Let h = 10 - 6. Suppose h*r = -p + 2*p + 20, 4*r - 148 = 5*p. Let q be (48/p)/(3/(-8)). Solve 3*b - 6 = -q*m + 5*b, m = -2*b - 11 for m. -1 Let g be (((-13)/2)/(-13))/1*4. Solve -2*a = -g*b - 6*a - 18, -b = -3*a - 16 for b. 1 Let c be 34/(-51)*2*-18. Solve -4*j - 20 = 4*o, o - 4*j = 6*o + c for o. -4 Let l = 35 + -33. Solve 4*y + 18 = 6*y + 4*w, -l*y + 13 = 3*w for y. -1 Suppose -5*c = -3*c - 16. Let r be c*(0 - (-2)/8). Solve 5*l = 3*m - 8 - r, -5*m = l + 2 for l. -2 Suppose 61*c = 71*c - 50. Solve -5*m - 17 = 3*k - 1, -4*m + c*k = -2 for m. -2 Suppose 0 = 2*m - 28*m. Let d be (-2 - (-8)/(-2))*-1. Solve y = 3*f - 8 - 3, m = 2*f - y - d for f. 5 Let o be (-68)/(-20) + (-12)/30. Solve o*u + 2 = 5*g - 16, 1 = g + 2*u for g. 3 Let s be -2 + 5/(-5) - -11. Suppose 0 = 6*o - s*o + 6. Solve 10 = o*v - 4*a, -3*v + a + 11 = -4*a for v. 2 Suppose -t + 10 = 8. Suppose -p - 20 = -t*p. Solve 0 = 4*c - 0*n - n - 14, -4*c - 2*n = -p for c. 4 Suppose 0 = -2*h + 7 + 1. Suppose -2*g - h*x + 14 = 0, -3*g + g = -x - 4. Solve 0 = -4*i - 3*d + 2, 4*d + g + 11 = 3*i for i. 2 Let u = 19 + -17. Solve -8 = u*i - 2*m - 10, 5*m = -4*i - 41 for i. -4 Suppose -383*z + 100 = -378*z. Let q(t) = t**3 + 3*t**2 - t - 1. Let x be q(-3). Solve -z = -3*y - 2*j, j + 6 = 3*y - x for y. 4 Let r(w) = 5*w + 11 - 3*w - 34. Let k be r(13). Solve -2*j = 3*j - 2*y - 5, -2*j = -y - k for j. -1 Let w(b) = 6 + 3 - 14 - 5 - 4*b. Let r be w(-4). Solve q - 5*a = r + 4, -2*a = -2*q + 4 for q. 0 Let r be (-165)/10*4/(-3). Let j = -12 + r. Suppose j - 7 = z. Solve 13 = 3*i - i + z*v, 3*i =
{ "pile_set_name": "DM Mathematics" }
value? (a) 0.1 (b) t (c) m c Let l = -1.1387 - -5.1387. Let q = 911156/67851 - 2/9693. Let b = q - 14. What is the second biggest value in l, b, -1.6? b Let l be ((-15)/(150/4))/(-1). Which is the second smallest value? (a) l (b) 4 (c) -2 (d) 3/13 d Let h be (-29)/(-58)*(-1)/2. What is the fourth biggest value in -1/11, 3/10, -1, h? -1 Let d = 0 + -0.3. Let h = -0.2 + d. Let n = -3.11 + 3.41. Which is the second smallest value? (a) n (b) h (c) -1 b Let o = 0.9 + -0.6. Let n = -11 + 10.98. Let m = -0.22 - n. Which is the second biggest value? (a) m (b) o (c) -0.7 a Let y = -1184 - -5928/5. Which is the third biggest value? (a) 7 (b) 0.2 (c) 2/9 (d) y c Let g = 1.563 - 1.263. Which is the second biggest value? (a) 2.5 (b) g (c) 3 (d) -0.2 a Let w = -0.07 - 0.43. Let t = w - -1. Which is the third smallest value? (a) t (b) -0.5 (c) 0.2 a Let u = -15 - -17.8. Let v = 2.2 - -0.8. Let l = v - u. Which is the second biggest value? (a) 0.3 (b) -2/15 (c) l c Let l = 217 + -219. What is the smallest value in l, 1/7, -4/29? l Let c = -4.7 - -5.2. What is the biggest value in 0.1, c, 1.4? 1.4 Let y be ((-38)/4)/(22/(-584)). Let p = -252 + y. Let n be (-2 - (-24)/15) + (-27)/(-5). What is the second smallest value in n, 0.3, p? 0.3 Let c = 24 - 36. Let b = -11 - c. Let j be (-1)/3*8*1/(-6). What is the third smallest value in -0.1, j, b? b Let o = -978 + 970.004. Let x = o - 0.004. What is the smallest value in x, -0.3, 0.2? x Let d = -24.55 - -24. Let k = d + 0.15. Suppose 4*g = -4*b - 44, 5*b + 0*g + 53 = -4*g. What is the second biggest value in k, 0, b? k Let f = -86 + 85. Let k be (0 + f)*(-1 - (1 - 26)). What is the second biggest value in -4, 2, k? -4 Let o = -35.3 - -33. Let l = 2.1 + o. What is the third biggest value in 6, l, -2/9? -2/9 Suppose -o - 4*l + 25 = 7, 3*o = -4*l + 22. Let m = 4636/273 - 222/13. Which is the biggest value? (a) -4 (b) m (c) o c Let g = 13 - 13.07. Suppose -5*j + m + 9 = 0, -3*j + 2*m + 13 = 2*j. Let t be (-5 + 4 + 0)*(0 + -3). Which is the biggest value? (a) t (b) j (c) g a Let o = 239 + -238. Which is the second biggest value? (a) -2 (b) o (c) 2 b Let s = -1634/35 - -232/5. Let k = 29 + -21. Let h = k - 13. Which is the third biggest value? (a) -2/5 (b) s (c) h c Let p = -0.5 + -2.5. Let l = -0.9 + 0.4. Let s = 0.8 - -0.2. Which is the third biggest value? (a) s (b) p (c) l b Let c = -4904/19 + 258. What is the fourth smallest value in -1, 3, c, -3/7? 3 Let z = 505.526 - 506. Let g = z - 0.026. Which is the biggest value? (a) g (b) -0.09 (c) 0.5 c Let z = -80.77 - -80.57. Let d = -3 - -2.5. What is the third smallest value in d, z, -3/4, 3/7? z Let p(c) = -6*c**3 - 16*c**2 + 8*c + 3. Let u be p(-3). Let h = 1.5 - 2.4. Let d = -0.5 - h. What is the smallest value in -5, d, u? -5 Let k be -3 - -2 - (-170 + -5 + 2). Let r be k/28 + 3/(-21). Let o = -2.2 - -2. Which is the third biggest value? (a) o (b) r (c) -1/11 a Let l(v) = 2*v - 10. Let n be l(11). Let k be (-10)/(-4)*n/(-15). Let f be -1 + (-9)/22*k. What is the third smallest value in f, 1/3, 0? 1/3 Let m = -14.07 + 14. Let l = m + 0.22. Let y = l + -0.65. Which is the second smallest value? (a) -2/9 (b) y (c) 5 a Let p = 1.07 - 1.07. What is the fourth smallest value in -1/2, -0.3, 2/11, p? 2/11 Let u = 5.5 + 7. Let y = 12 - u. Suppose 12 - 11 = c. What is the smallest value in y, 0, c? y Suppose g - 45 = -2*g. Suppose 4*n + g = -n. Let b = 12/131 - -154/1179. What is the second smallest value in -4, n, b? n Let f = 1305 + -1304.597. What is the smallest value in 0.1, f, 2, 0.4? 0.1 Let t = -12 - -14. Let o = 2.1 + -3.1. What is the second smallest value in -5, t, 2/11, o? o Let y = 22.4 - 21. Let l = -3.4 + y. Let i = -22 + 25. What is the second biggest value in -1/9, l, i? -1/9 Suppose -4*q = 34*m - 31*m + 15, -5*q + 5*m - 10 = 0. Which is the smallest value? (a) -0.28 (b) -14 (c) 3 (d) q b Let r = -198 + 198.27. What is the third biggest value in -1/2, 1/3, r? -1/2 Let q be (-1)/(7/(9 + -2)). Which is the biggest value? (a) 4 (b) q (c) 0.22 (d) 2 a Let h(v) = -89*v - 446. Let s be h(-5). Let j = -2 - -2.3. Which is the second smallest value? (a) s (b) -2/3 (c) 1 (d) j b Let a = -3 - 0. Suppose -4*s - 5*v + 5 = 0, -v + 2*v - 15 = 2*s. Let d be (-31)/930*30 - 5*2/(-6). What is the second biggest value in d, s, a? a Suppose 40 = 2*s + 40. What is the third smallest value in -4, 3, s? 3 Let s = 3 - -4. Let j = -3.5 - -3.3. What is the second biggest value in 0, -0.1, j, s? 0 Let f = 266.8 - 257.8. Let n = -0.06 - -0.46. Which is the smallest value? (a) f (b) -2/11 (c) n b Let m = 235 - 230. What is the third biggest value in m, -1, 1/4, -10? -1 Suppose -2*j = -2*g, 1 - 3 = -4*j + 5*g. Let v = j - 4. Let t be (0 + -2)*v/(-8). Which is the third smallest value? (a) 0.4 (b) 1 (c) t b Let f = 45/29 + -19/87. What is the third smallest value in 72, -1/2, f? 72 Let v = 71/96 + 19/32. Let u = 1.6 - 1.71. Let n = u + 0.18. Which is the biggest value? (a) -4 (b) v (c) n b Let o be 24/324 - ((-200)/54)/4. Which is the second biggest value? (a) o (b) 2/1083 (c) -4 b Let t = 0 - 0.5. Which is the third biggest value? (a) -5 (b) 1/4 (c) t (d) 2/5 c Let m(b) = b**3 + 13*b**2 + 7*b + 30. Let s be m(-13). Let w = 241/4 + s. What is the third smallest value in w, 3, 1? 3 Let k = -0.2 - -0.6. Let l = -74 - -119. Let w = l + -45.3. What is the smallest value in k, w, 0? w Let n be 270/(-40)*-4 + (-3)/(-1). What is the biggest value in n, 3, 0.4? n Let z = -3 - -3. Suppose -t = -3*t + 8, z = -3*i + 2*t + 7. Suppose -4*p + 4*u = -28, 0 = -0*p + i*p - 2*u - 29. What is the smallest value in 0.2, p, 2? 0.2 Let b = -0.04 + -0.26. Let n = 9/200 + 2/25. Let z = -2.35 + 0.35. What is the biggest value in b, z, n? n Let h = -13.85 + -0.15. Let l = h + 16. Which is the third smallest value? (a) 5 (b) -3 (c) -0.01 (d) l d Let v = 673 - 2021/3. Which is the second biggest value? (a) 4/11 (b) v (c) -4 (d) 0.3 d Suppose 2*x + 3*t + 12 + 1 = 0, x - t = -4. Let u = -76 + 79. Which is the second biggest value? (a) -0.2 (b) x (c) u (d) 0.2 d Let p = -3 + 3.5. Let z = -0.3 + p. Suppose -5*y + 35*y - 60 = 0. What is the second biggest value in -2/3, z, y? z Suppose 17*y = 18*y - 59. Let s = 57 - y. Which is the second biggest value? (a) 0.5 (b) 5 (c) s a Let y be 88/(-22) - (1 + -133). Let a = y + -128. What is the biggest value in 2/13, a, -0.3? 2/13 Let v = -2.71 + 4.71. Which is the biggest value? (a) v (b) 0.3 (c) 18/17 a Let c = -3.7 - -0.7. Let q be 0 + (-4)/34 + 0. Let y = 335 + -332. What is the smallest value in y, c, q? c Let w = 256 - 261. Let i be (-4)/(-6) - 1 - 0. What is the third biggest value in 4, w, 0.1, i? i Let h = 55 + -51.8. Let o = 7.2 - h. Which is the smallest value? (a) 0.02 (b) -4 (c) o (d) 4/5 b Let d be 40/70*7*1. Let y(h) = -2 + 2*h + 0 - d*h + 3*h. Let u be y(5). What is the third biggest value in 3/2, u, 2? 3/2 Let u = -379 - -378. What is the second biggest value in u, 1, -9? u Let t = 682.5 + -683. Let p = 0.01 + -0.01. Which is the third smallest value? (a) 3 (b) -3 (c) p (d) t c Let s = 0.1 + -0.3. Let j = 1.285 - -2.715. Which is the second biggest value? (a) j (b) s (c) 1/3 c Let t = 0.4056 - 0.1056. Which is the smallest value? (a) -5 (b) -16/11 (c) t a Let r = 428 - 3854/9. What is the third biggest value in r, 0.4, 2/9, 2? 2/9 Let t = 659/9 - 73. Let i = -34 - -29. Which is the third biggest value? (a) -4 (b) i (c) t b Let w = 32 - 47. Let j = -17 - w. Let u = -5.09 - -0.09. What is the second smallest value in u, j, -0.5? j Suppose -43*k = -20*k - 10*k + 52. Let d = -9.7 + 9. Let h = 1 + d. What is the biggest value in k, 2/3, h? 2/3 Let o = 0.1 + 0.2. Let p = 0.015 - 4.015. What is the third smallest value in p, 1, o? 1 Let x = 0.742 - 0.642. What is the biggest value in x, 2/7, -0.02, -5/3? 2/7 Let i be 66 - 60 - (-2)/(-2). Let n = -79/3 + 26. Which is the fourth biggest value? (a) 1 (b) n (c) -3/2 (d) i c Let j = 0.138 - 62.138. Let s = j + 76.5. Let w = s - 15. What is the third smallest value in -3, 5, w? 5 Let g = -36/133 + 712/665. What is the smallest value in 34, g, -0.1, -2? -2 Let r = 146.7 - 164. Let y = r + 17. Let d = 1.6 + -2
{ "pile_set_name": "DM Mathematics" }
s prob of picking 1 x, 1 a, and 2 f? 5/646 Two letters picked without replacement from mkkommmmokkmomkmk. What is prob of picking 2 o? 3/136 Two letters picked without replacement from cooch. What is prob of picking 1 h and 1 c? 1/5 Three letters picked without replacement from wmmxmywyynxexmweyyy. Give prob of picking 1 w, 1 m, and 1 y. 24/323 Two letters picked without replacement from {p: 1, w: 6, s: 4, t: 7}. Give prob of picking 1 w and 1 s. 8/51 Two letters picked without replacement from {g: 1, j: 7, z: 11}. Give prob of picking 2 z. 55/171 Four letters picked without replacement from ttztzz. Give prob of picking 1 t and 3 z. 1/5 Calculate prob of picking 1 o, 1 c, and 1 g when three letters picked without replacement from ovcqg. 1/10 Calculate prob of picking 1 z and 1 i when two letters picked without replacement from zqqiq. 1/10 What is prob of picking 1 h and 1 p when two letters picked without replacement from pqhhhqqqrhhqqhhh? 1/15 Two letters picked without replacement from abaacbbbckcbbabtb. What is prob of picking 1 b and 1 k? 1/17 Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {u: 4, h: 2, o: 1, w: 3, x: 6, q: 3}. 2/57 Three letters picked without replacement from zhihihhih. What is prob of picking 2 h and 1 i? 5/14 Three letters picked without replacement from qqqygdgggdddqdddqq. What is prob of picking 1 g, 1 d, and 1 q? 7/34 Two letters picked without replacement from {s: 4}. What is prob of picking 2 s? 1 Calculate prob of picking 1 y, 1 j, and 1 m when three letters picked without replacement from {j: 5, m: 2, s: 1, c: 2, y: 4}. 10/91 Calculate prob of picking 1 v, 2 e, and 1 z when four letters picked without replacement from vdzvevdddedevd. 12/1001 Two letters picked without replacement from ttttnftolzzttnltoltl. What is prob of picking 1 n and 1 t? 9/95 Four letters picked without replacement from {p: 7, o: 4, r: 7}. Give prob of picking 1 r and 3 p. 49/612 Three letters picked without replacement from ttrututru. What is prob of picking 2 r and 1 u? 1/28 Three letters picked without replacement from vqzqmmtth. What is prob of picking 2 t and 1 z? 1/84 Two letters picked without replacement from {q: 2, a: 7, j: 3}. What is prob of picking 2 q? 1/66 Four letters picked without replacement from {j: 4, z: 1, w: 7, p: 3, b: 1}. What is prob of picking 1 z and 3 w? 1/52 What is prob of picking 1 l and 2 r when three letters picked without replacement from {r: 2, d: 2, l: 2}? 1/10 What is prob of picking 4 n when four letters picked without replacement from nnnnnnnnn? 1 What is prob of picking 1 y and 1 e when two letters picked without replacement from {u: 1, b: 1, y: 1, e: 3, h: 6}? 1/22 Two letters picked without replacement from {w: 8, c: 1, a: 3, p: 6}. Give prob of picking 1 c and 1 w. 8/153 What is prob of picking 2 c and 1 o when three letters picked without replacement from {d: 1, i: 2, u: 1, c: 2, v: 2, o: 1}? 1/84 What is prob of picking 1 y, 1 a, and 1 s when three letters picked without replacement from {z: 6, y: 2, a: 1, s: 5, g: 2}? 1/56 Three letters picked without replacement from kudbzwbbdkk. Give prob of picking 1 u, 1 k, and 1 z. 1/55 Two letters picked without replacement from jjjcmzjmrjhccm. Give prob of picking 2 c. 3/91 What is prob of picking 1 l and 2 k when three letters picked without replacement from lkgtgwk? 1/35 What is prob of picking 2 o and 1 s when three letters picked without replacement from hosxdoj? 1/35 Two letters picked without replacement from {i: 3, x: 2}. What is prob of picking 2 x? 1/10 Three letters picked without replacement from {j: 3, c: 3, m: 2, f: 3, e: 5, a: 3}. Give prob of picking 1 c and 2 f. 3/323 Calculate prob of picking 2 u when two letters picked without replacement from {q: 10, u: 2, v: 4}. 1/120 What is prob of picking 1 l and 1 f when two letters picked without replacement from {f: 6, g: 7, l: 4, p: 1}? 8/51 What is prob of picking 1 t and 1 c when two letters picked without replacement from {c: 1, p: 6, e: 3, t: 1, r: 3}? 1/91 Two letters picked without replacement from niniiqijinnfjiffq. What is prob of picking 2 j? 1/136 What is prob of picking 4 y when four letters picked without replacement from yyruyruynr? 1/210 What is prob of picking 1 s and 1 q when two letters picked without replacement from {d: 2, q: 1, s: 7}? 7/45 Two letters picked without replacement from {b: 2, y: 2, e: 9}. What is prob of picking 1 y and 1 e? 3/13 Calculate prob of picking 1 j and 3 p when four letters picked without replacement from {s: 2, p: 1, j: 7}. 0 Four letters picked without replacement from {n: 7, l: 3, z: 5, d: 2}. Give prob of picking 1 l, 1 n, and 2 z. 3/34 Calculate prob of picking 3 i when three letters picked without replacement from uiu. 0 What is prob of picking 1 o, 1 k, and 2 i when four letters picked without replacement from iukuockuiuciskuokicu? 16/1615 Calculate prob of picking 1 c, 1 e, and 1 o when three letters picked without replacement from {m: 2, o: 1, e: 1, c: 3}. 3/35 What is prob of picking 2 m when two letters picked without replacement from mvvzmzvmbmzdmvmm? 7/40 Four letters picked without replacement from uuuueeiuuui. What is prob of picking 1 u, 2 e, and 1 i? 7/165 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {v: 1, t: 1, q: 1, p: 4, f: 3, a: 6}. 1/30 Two letters picked without replacement from {t: 7, y: 9, z: 1, h: 1}. Give prob of picking 1 h and 1 z. 1/153 What is prob of picking 2 d when two letters picked without replacement from {y: 6, d: 4}? 2/15 What is prob of picking 2 g and 1 r when three letters picked without replacement from {b: 1, m: 2, g: 13, r: 1}? 39/340 Four letters picked without replacement from {l: 8, s: 3}. What is prob of picking 1 l and 3 s? 4/165 Calculate prob of picking 2 f and 1 x when three letters picked without replacement from {x: 6, a: 1, f: 10}. 27/68 What is prob of picking 1 o and 1 j when two letters picked without replacement from oojoojoooojjjoojooo? 26/57 Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 4, m: 16}. 32/95 Three letters picked without replacement from vxxxvhhvhxh. Give prob of picking 3 x. 4/165 Calculate prob of picking 2 u when two letters picked without replacement from jjjujjjujju. 3/55 What is prob of picking 1 p and 1 i when two letters picked without replacement from oyniyopnyy? 1/45 Calculate prob of picking 1 y and 2 i when three letters picked without replacement from {i: 11, y: 1, b: 3, s: 2, z: 1}. 55/816 What is prob of picking 1 h and 1 z when two letters picked without replacement from zahekzc? 2/21 Calculate prob of picking 2 i and 1 m when three letters picked without replacement from imiiiimimmiiii. 45/91 Four letters picked without replacement from {v: 3, h: 1, a: 1, q: 7, j: 3, d: 3}. What is prob of picking 2 j and 2 d? 1/340 Four letters picked without replacement from {x: 4, y: 1, p: 2, n: 1, g: 3, h: 1}. Give prob of picking 1 n, 1 h, 1 x, and 1 p. 8/495 Calculate prob of picking 4 a when four letters picked without replacement from kakakakkkkkkkkakka. 1/612 Calculate prob of picking 2 x when two letters picked without replacement from {t: 2, p: 2, g: 3, x: 4, y: 2}. 1/13 Two letters picked without replacement from ddrrddddrddd. Give prob of picking 2 d. 6/11 Two letters picked without replacement from ttcotcoooootoo. What is prob of picking 1 c and 1 o? 16/91 Two letters picked without replacement from bbbaa. What is prob of picking 2 a? 1/10 Two letters picked without replacement from {o: 5, p: 11}. What is prob of picking 1 o and 1 p? 11/24 Four letters picked without replacement from xohhcochx. What is prob of picking 1 c, 2 x, and 1 o? 2/63 What is prob of picking 1 f, 1 g, 1 n, and 1 d when four letters picked without replacement from bwfffnwwgdffdfw? 4/455 Calculate prob of picking 2 u, 1 q, and 1 m when four letters picked without replacement from mqmqumumuuumm. 24/143 What is prob of picking 1 e, 1 i, and 2 r when four letters picked without replacement from {r: 3, e: 1, i: 1, x: 5, h: 4}? 3/1001 What is prob of picking 2 i when two letters picked without replacement from iiil? 1/2 Four letters picked without replacement from {n: 2
{ "pile_set_name": "DM Mathematics" }
03 minutes after 12:03 AM? 3:26 AM What is 463 minutes after 7:14 PM? 2:57 AM How many minutes are there between 11:55 PM and 12:48 AM? 53 What is 703 minutes after 3:32 PM? 3:15 AM How many minutes are there between 10:03 PM and 11:47 PM? 104 What is 578 minutes after 2:45 PM? 12:23 AM What is 88 minutes before 1:57 PM? 12:29 PM What is 310 minutes after 8:33 AM? 1:43 PM How many minutes are there between 12:25 PM and 3:49 PM? 204 What is 115 minutes after 2:57 AM? 4:52 AM What is 300 minutes after 7:36 PM? 12:36 AM How many minutes are there between 7:32 PM and 4:06 AM? 514 What is 457 minutes before 3:47 PM? 8:10 AM What is 296 minutes after 10:39 AM? 3:35 PM How many minutes are there between 8:20 AM and 9:58 AM? 98 How many minutes are there between 2:00 PM and 8:13 PM? 373 What is 611 minutes before 4:34 PM? 6:23 AM What is 231 minutes after 9:33 PM? 1:24 AM How many minutes are there between 3:16 AM and 11:21 AM? 485 What is 681 minutes before 2:17 PM? 2:56 AM How many minutes are there between 6:42 AM and 9:46 AM? 184 What is 402 minutes after 10:30 PM? 5:12 AM What is 320 minutes after 11:05 AM? 4:25 PM How many minutes are there between 10:09 AM and 2:35 PM? 266 What is 444 minutes after 7:32 AM? 2:56 PM How many minutes are there between 1:47 PM and 4:39 PM? 172 How many minutes are there between 4:25 AM and 3:54 PM? 689 What is 473 minutes after 1:18 PM? 9:11 PM How many minutes are there between 4:44 AM and 11:32 AM? 408 What is 597 minutes before 6:56 PM? 8:59 AM What is 11 minutes after 10:41 PM? 10:52 PM What is 173 minutes after 3:30 PM? 6:23 PM What is 310 minutes after 2:55 AM? 8:05 AM How many minutes are there between 6:42 AM and 10:53 AM? 251 How many minutes are there between 7:44 AM and 8:03 AM? 19 What is 67 minutes before 6:10 AM? 5:03 AM What is 154 minutes before 2:26 AM? 11:52 PM How many minutes are there between 8:30 PM and 4:08 AM? 458 How many minutes are there between 4:31 AM and 1:26 PM? 535 What is 394 minutes after 6:39 AM? 1:13 PM What is 204 minutes after 5:10 AM? 8:34 AM What is 20 minutes before 11:12 PM? 10:52 PM What is 627 minutes before 8:28 AM? 10:01 PM What is 172 minutes before 2:19 AM? 11:27 PM What is 25 minutes before 7:13 AM? 6:48 AM What is 101 minutes before 10:03 PM? 8:22 PM What is 597 minutes before 8:05 PM? 10:08 AM What is 325 minutes before 6:04 AM? 12:39 AM How many minutes are there between 2:19 AM and 10:40 AM? 501 How many minutes are there between 4:05 AM and 6:37 AM? 152 What is 610 minutes before 1:10 PM? 3:00 AM What is 547 minutes after 2:21 AM? 11:28 AM How many minutes are there between 5:06 AM and 10:29 AM? 323 How many minutes are there between 8:16 AM and 10:54 AM? 158 How many minutes are there between 4:00 PM and 5:02 PM? 62 What is 345 minutes after 11:23 PM? 5:08 AM What is 679 minutes after 4:38 AM? 3:57 PM How many minutes are there between 9:19 PM and 7:28 AM? 609 What is 670 minutes before 2:28 AM? 3:18 PM What is 331 minutes before 3:45 AM? 10:14 PM What is 618 minutes before 4:14 PM? 5:56 AM How many minutes are there between 5:48 AM and 3:37 PM? 589 What is 191 minutes after 11:18 AM? 2:29 PM How many minutes are there between 7:34 AM and 12:38 PM? 304 How many minutes are there between 2:56 PM and 11:59 PM? 543 What is 128 minutes before 10:40 AM? 8:32 AM How many minutes are there between 9:01 PM and 9:20 PM? 19 How many minutes are there between 1:51 AM and 1:37 PM? 706 What is 315 minutes before 3:40 AM? 10:25 PM What is 195 minutes before 12:21 AM? 9:06 PM How many minutes are there between 2:30 AM and 11:54 AM? 564 What is 644 minutes after 7:55 AM? 6:39 PM What is 423 minutes after 3:57 AM? 11:00 AM How many minutes are there between 8:18 AM and 10:53 AM? 155 How many minutes are there between 2:27 PM and 4:34 PM? 127 How many minutes are there between 5:22 AM and 12:45 PM? 443 How many minutes are there between 11:47 AM and 8:08 PM? 501 How many minutes are there between 8:07 AM and 8:26 AM? 19 How many minutes are there between 7:10 AM and 2:10 PM? 420 What is 643 minutes before 11:07 PM? 12:24 PM How many minutes are there between 12:23 PM and 3:08 PM? 165 How many minutes are there between 3:12 PM and 4:34 PM? 82 How many minutes are there between 4:02 AM and 4:12 AM? 10 What is 592 minutes after 8:10 PM? 6:02 AM What is 353 minutes before 12:32 PM? 6:39 AM How many minutes are there between 8:09 AM and 11:13 AM? 184 How many minutes are there between 12:44 AM and 5:44 AM? 300 How many minutes are there between 7:28 AM and 2:08 PM? 400 How many minutes are there between 7:11 AM and 4:47 PM? 576 What is 132 minutes after 10:37 AM? 12:49 PM What is 376 minutes after 4:26 PM? 10:42 PM How many minutes are there between 2:28 AM and 6:32 AM? 244 How many minutes are there between 6:53 PM and 1:38 AM? 405 How many minutes are there between 3:43 PM and 9:36 PM? 353 What is 634 minutes after 8:43 PM? 7:17 AM How many minutes are there between 7:54 PM and 8:42 PM? 48 What is 76 minutes after 10:28 AM? 11:44 AM What is 709 minutes before 12:47 PM? 12:58 AM How many minutes are there between 12:41 PM and 4:18 PM? 217 What is 197 minutes before 7:02 AM? 3:45 AM How many minutes are there between 6:32 PM and 1:22 AM? 410 What is 38 minutes after 11:48 PM? 12:26 AM How many minutes are there between 1:45 PM and 6:48 PM? 303 How many minutes are there between 9:16 PM and 8:41 AM? 685 How many minutes are there between 3:08 PM and 2:58 AM? 710 What is 238 minutes after 6:46 AM? 10:44 AM How many minutes are there between 5:30 PM and 1:08 AM? 458 What is 77 minutes before 6:59 PM? 5:42 PM What is 101 minutes after 6:50 PM? 8:31 PM How many minutes are there between 5:08 AM and 9:20 AM? 252 What is 707 minutes after 6:39 AM? 6:26 PM How many minutes are there between 7:02 AM and 6:35 PM? 693 How many minutes are there between 12:57 AM and 9:47 AM? 530 What is 424 minutes after 9:18 AM? 4:22 PM What is 705 minutes before 1:54 PM? 2:09 AM What is 374 minutes after 2:45 PM? 8:59 PM How many minutes are there between 3:23 AM and 5:52 AM? 149 What is 586 minutes before 4:37 AM? 6:51 PM How many minutes are there between 10:51 PM and 12:48 AM? 117 What is 254 minutes before 7:13 AM? 2:59 AM How many minutes are there between 4:09 AM and 5:53 AM? 104 How many minutes are there between 11:28 PM and 8:27 AM? 539 How many minutes are there between 12:29 PM and 8:29 PM? 480 What is 184 minutes after 12:40 PM? 3:44 PM How many minutes are there between 3:36 PM and 9:48 PM? 372 How many minutes are there between 9:34 AM and 10:10 AM? 36 How many minutes are there between 10:49 AM and 6:31 PM? 462 What is 293 minutes after 12:54 AM? 5:47 AM How many minutes are there between 5:28 PM and 7:11 PM? 103 What is 556 minutes after 2:04 PM? 11:20 PM What is 496 minutes after 3:12 AM? 11:28 AM What is 341 minutes after 9:15 AM? 2:56 PM How many minutes are there between 10:10 PM and 8:37 AM? 627 What is 688 minutes after 10:31 PM? 9:59 AM How many minutes are there between 10:56 AM and 7:51 PM? 535 What is 620 minutes before 5:45 AM? 7:25 PM How many minutes are there between 2:36 PM and 2:19 AM? 703 What is 404 minutes before 4:36 PM? 9:52 AM What is 42 minutes after 3:33 PM? 4:15 PM How many minutes are there between 1:37 AM and 9:39 AM? 482 How many minutes are there between 2:16 AM and 8:22 AM? 366 What is 265 minutes after 11:13 AM? 3:38 PM What is 217 minutes after 3:14 AM? 6:51 AM How many minutes are there between 3:44 AM and 8:48 AM? 304 What is 171 minutes after 9:55 PM? 12:46 AM How many minutes are there between 2:14 PM and 4:35 PM? 141 What is 406 minutes before 4:17 AM? 9:31 PM What is 543 minutes before 4:31 PM? 7:28 AM What is 353 minutes before 11:43 PM? 5:50 PM How many minutes are there between 1:41 PM and 5:56 PM? 255 How many minutes are there between 8:35 PM and 5:02 AM? 507 How many minutes are there between 9:15 PM and 1:52 AM? 277 How many minutes are there between 1:11 PM and 7:11 PM? 360 How many minutes are there between 12:34 PM and 5:38 PM? 304 How many minutes are there between 3:53 AM and 1:26 PM? 573 What is 372 minutes after 9:41 AM? 3:53 PM How many minutes are there between 12:15 AM and 2:39 AM? 144 What is 488 minutes after 5:50 AM? 1:58 PM How ma
{ "pile_set_name": "DM Mathematics" }
2200000 What is 0.273811ug in kilograms? 0.000000000273811 How many decades are there in 1/5 of a millennium? 20 How many tonnes are there in 3.157058ng? 0.000000000000003157058 What is 1/5 of a litre in millilitres? 200 How many micrograms are there in 5.145111 kilograms? 5145111000 What is 2759588.1 nanoseconds in hours? 0.00000076655225 How many milligrams are there in 9.980866 kilograms? 9980866 How many months are there in three eighths of a millennium? 4500 What is one quarter of a litre in millilitres? 250 What is 19/4 of a gram in milligrams? 4750 What is 0.831654ug in grams? 0.000000831654 What is 1201.86906 hours in weeks? 7.1539825 Convert 6878.978mm to meters. 6.878978 What is 11/2 of a litre in millilitres? 5500 What is 1/6 of a century in months? 200 How many tonnes are there in 305.089 milligrams? 0.000000305089 What is five sixths of a hour in seconds? 3000 How many millilitres are there in 3/5 of a litre? 600 Convert 2854.0929 months to centuries. 2.37841075 What is 5/4 of a centimeter in micrometers? 12500 How many nanometers are there in 3/25 of a micrometer? 120 Convert 58.25939 centuries to years. 5825.939 What is 3/10 of a tonne in kilograms? 300 What is 99.75415 milliseconds in seconds? 0.09975415 How many tonnes are there in 0.2615738ug? 0.0000000000002615738 What is 5/8 of a litre in millilitres? 625 What is 3/25 of a litre in millilitres? 120 Convert 992.453ns to microseconds. 0.992453 How many years are there in 1/10 of a century? 10 What is twenty-seven quarters of a tonne in kilograms? 6750 What is 98761.85um in millimeters? 98.76185 What is 74/5 of a century in decades? 148 How many seconds are there in one tenth of a week? 60480 What is thirty-seven halves of a century in decades? 185 How many minutes are there in 293964.09 milliseconds? 4.8994015 What is 3/5 of a hour in minutes? 36 How many litres are there in 2.152023 millilitres? 0.002152023 What is 11/2 of a milligram in micrograms? 5500 How many nanometers are there in 3/50 of a millimeter? 60000 Convert 0.2412135 nanometers to micrometers. 0.0002412135 How many micrometers are there in 3/16 of a centimeter? 1875 How many micrometers are there in 7/2 of a centimeter? 35000 Convert 172753.9ug to kilograms. 0.0001727539 How many centimeters are there in 13/5 of a meter? 260 Convert 2.337263 millilitres to litres. 0.002337263 What is 8487.02l in millilitres? 8487020 Convert 4556.39m to kilometers. 4.55639 How many millilitres are there in 87233.4l? 87233400 How many litres are there in 77837.47 millilitres? 77.83747 How many micrometers are there in 1/10 of a meter? 100000 How many months are there in 27264.6 years? 327175.2 What is one tenth of a millisecond in nanoseconds? 100000 How many months are there in 1/4 of a century? 300 How many grams are there in fifty-five quarters of a kilogram? 13750 What is one tenth of a litre in millilitres? 100 Convert 12356.21 litres to millilitres. 12356210 What is 11/8 of a week in minutes? 13860 What is 1/5 of a meter in centimeters? 20 Convert 0.0700029 tonnes to nanograms. 70002900000000 Convert 176062.5 months to millennia. 14.671875 What is fourty-three halves of a week in hours? 3612 How many decades are there in 6/5 of a century? 12 How many kilometers are there in 0.1936862nm? 0.0000000000001936862 How many milligrams are there in fourty-eight fifths of a gram? 9600 How many months are there in 3/8 of a century? 450 How many hours are there in 797.55651 milliseconds? 0.000221543475 How many millilitres are there in 891.9537 litres? 891953.7 How many seconds are there in 3.507602 nanoseconds? 0.000000003507602 How many months are there in 1/6 of a century? 200 How many microseconds are there in 1/10 of a millisecond? 100 How many micrograms are there in fourty-nine quarters of a milligram? 12250 Convert 72.04647 nanograms to milligrams. 0.00007204647 How many millilitres are there in 6/5 of a litre? 1200 What is six fifths of a millennium in decades? 120 What is 7/4 of a millennium in decades? 175 What is one twentieth of a minute in seconds? 3 What is 4572.079g in micrograms? 4572079000 How many hours are there in 10141.107 minutes? 169.01845 What is one tenth of a gram in micrograms? 100000 How many centimeters are there in seven halves of a meter? 350 Convert 382.1526nm to meters. 0.0000003821526 How many kilometers are there in 565535.1m? 565.5351 How many micrograms are there in three tenths of a milligram? 300 What is 5867.288 litres in millilitres? 5867288 How many millimeters are there in 161627.2um? 161.6272 What is 649649.1 milligrams in kilograms? 0.6496491 Convert 49472.15 millennia to years. 49472150 Convert 1610.508 centimeters to millimeters. 16105.08 Convert 0.0200715 tonnes to milligrams. 20071500 Convert 782.2836ml to litres. 0.7822836 How many millilitres are there in 37/2 of a litre? 18500 What is 532422.7 millennia in centuries? 5324227 How many nanograms are there in thirty-seven fifths of a microgram? 7400 What is 5281.83 grams in milligrams? 5281830 What is 1.866089 centuries in months? 2239.3068 How many millimeters are there in 11/2 of a centimeter? 55 How many kilograms are there in 13/4 of a tonne? 3250 How many micrometers are there in 715.0536 meters? 715053600 How many seconds are there in two ninths of a day? 19200 What is 614477.7 millilitres in litres? 614.4777 What is five quarters of a hour in seconds? 4500 How many millilitres are there in eleven quarters of a litre? 2750 Convert 0.240841ml to litres. 0.000240841 Convert 34055.71 litres to millilitres. 34055710 How many months are there in ten thirds of a year? 40 What is 11/4 of a micrometer in nanometers? 2750 Convert 6.454684 litres to millilitres. 6454.684 What is 1/4 of a millimeter in micrometers? 250 How many milligrams are there in 1/5 of a gram? 200 What is 32835.1t in micrograms? 32835100000000000 What is one tenth of a decade in years? 1 What is 723.9012 nanograms in tonnes? 0.0000000000007239012 What is 8/3 of a decade in months? 320 Convert 88.08249 minutes to microseconds. 5284949400 What is 46/5 of a centimeter in micrometers? 92000 What is 1/20 of a kilometer in meters? 50 How many millilitres are there in 3/5 of a litre? 600 What is 1/10 of a kilometer in meters? 100 How many decades are there in 46.9951 centuries? 469.951 What is twenty-nine sixths of a day in hours? 116 How many litres are there in 2943.657ml? 2.943657 What is 0.3843691 hours in minutes? 23.062146 What is 65/3 of a decade in months? 2600 What is 21/4 of a tonne in kilograms? 5250 What is 9.84065 millilitres in litres? 0.00984065 What is 1/9 of a week in seconds? 67200 What is 192.9379 centuries in millennia? 19.29379 How many seconds are there in 633690.7 minutes? 38021442 Convert 3.391114 nanometers to kilometers. 0.000000000003391114 Convert 45988.98ml to litres. 45.98898 Convert 51346.68 meters to centimeters. 5134668 What is 3/8 of a day in hours? 9 Convert 3469.239 millilitres to litres. 3.469239 How many months are there in 2/15 of a century? 160 How many microseconds are there in 7/2 of a millisecond? 3500 Convert 0.968677s to microseconds. 968677 What is 3/50 of a litre in millilitres? 60 How many millilitres are there in eleven halves of a litre? 5500 What is 17/2 of a minute in seconds? 510 How many months are there in 5/24 of a millennium? 2500 Convert 1.801767 millimeters to meters. 0.001801767 What is 9/10 of a microsecond in nanoseconds? 900 What is 1/4 of a millennium in months? 3000 What is 0.1151601ng in milligrams? 0.0000001151601 Convert 2.3186361 months to millennia. 0.000193219675 How many micrograms are there in 0.7261433 nanograms? 0.0007261433 What is one sixth of a day in seconds? 14400 What is 173.63121 months in centuries? 0.144692675 Convert 7533.076 tonnes to nanograms. 7533076000000000000 How many nanograms are there in fourty-three halves of a microgram? 21500 What is 938.628 millilitres in litres? 0.938628 How many minutes are there in fifty-eight ninths of a week? 64960 How many micrometers are there in 57655.62cm? 576556200 What is 3/5 of a millennium in years? 600 How many months are there in nineteen tenths of a century? 2280 How many millilitres are there in sixty-four fifths of a litre? 12800 What is
{ "pile_set_name": "DM Mathematics" }
number? True Is 8084137 a composite number? True Is 12284381 prime? True Is 3192734 a prime number? False Is 514565021 a composite number? False Is 9616177 prime? True Is 525144379 composite? False Is 389867 a prime number? True Is 4715639 composite? True Is 8596871 prime? False Is 62869501 composite? True Is 643421 prime? True Is 11272243 prime? False Is 767273 a prime number? False Is 425099 composite? True Is 134437 composite? False Is 495216739 a composite number? False Is 21193541 a prime number? True Is 19530221 a composite number? False Is 1568791 a composite number? True Is 27897403 a composite number? False Is 46038161 composite? True Is 599848189 prime? True Is 41231219 a prime number? False Is 26090651 a composite number? True Is 85558399 prime? False Is 1908743 a prime number? False Is 162741611 prime? True Is 477131 a prime number? True Is 167857187 a composite number? True Is 4776259 a composite number? True Is 52990879 composite? False Is 189573333 a prime number? False Is 33254597 prime? False Is 444077917 composite? False Is 6455521 a prime number? True Is 1733449 composite? False Is 23940583 a prime number? False Is 47564411 composite? False Is 2011871 prime? False Is 1269731 prime? True Is 8586733 a prime number? True Is 47573861 a composite number? False Is 68418979 composite? False Is 3422119 prime? True Is 10811407 composite? True Is 85945439 a composite number? False Is 2077273 prime? False Is 1714757 a composite number? True Is 302569187 composite? True Is 4207373 a composite number? False Is 2632451 a prime number? False Is 4196527 prime? True Is 154427927 prime? True Is 39417859 a prime number? False Is 145932803 a prime number? True Is 244408313 prime? False Is 4064147 a prime number? False Is 9969689 a prime number? True Is 26655887 composite? False Is 15794687 a composite number? False Is 2437891 prime? True Is 108323519 prime? True Is 1453997 prime? True Is 111795809 composite? False Is 487220989 a prime number? True Is 163963753 a composite number? True Is 114902603 a composite number? False Is 84441953 composite? False Is 6238689 composite? True Is 24369155 a composite number? True Is 43904719 a composite number? False Is 8038061 prime? True Is 576017089 a prime number? False Is 12737039 a prime number? False Is 109545781 a prime number? False Is 287494693 prime? False Is 621047 a composite number? True Is 5824453 prime? True Is 8020451 a prime number? False Is 1046263 composite? False Is 1394821 a composite number? False Is 10082539 prime? True Is 1498198229 a prime number? False Is 29958931 composite? False Is 604330403 a composite number? False Is 22204933 a prime number? False Is 22274341 composite? False Is 48907 a composite number? False Is 530749691 a prime number? True Is 101583383 a prime number? False Is 18407563 a composite number? False Is 11863183 prime? True Is 3200929 prime? True Is 25402997 prime? True Is 1999369 composite? True Is 475321663 composite? False Is 2354939 composite? True Is 293773691 a composite number? False Is 308201497 prime? False Is 391796633 a composite number? True Is 286129 a prime number? True Is 77820243 a composite number? True Is 14433227 composite? True Is 19793653 a prime number? False Is 59322467 composite? False Is 1901749 prime? True Is 39787 composite? True Is 2389427 prime? True Is 1811789 prime? False Is 1413059 a prime number? False Is 81861211 composite? False Is 26207809 a prime number? False Is 11983717 prime? False Is 4885709 composite? True Is 1878649 composite? True Is 740083 prime? False Is 23028713 composite? False Is 12912073 a composite number? False Is 76152577 prime? True Is 3709631 a prime number? True Is 162209 a prime number? True Is 18504191 a composite number? True Is 58196137 a composite number? True Is 47833 prime? False Is 33996409 a prime number? True Is 77791903 prime? False Is 18094883 a composite number? False Is 558525623 prime? False Is 442734673 prime? True Is 12055427 composite? True Is 38629171 a composite number? True Is 170603 composite? False Is 118494619 prime? False Is 31783133 prime? True Is 1363797407 prime? False Is 55973 composite? True Is 338971 a prime number? False Is 55403881 a prime number? False Is 5430991 a composite number? True Is 16268653 a composite number? False Is 5179481 a prime number? True Is 1310747057 a composite number? True Is 17709871 a composite number? False Is 2370517 a composite number? False Is 1209413 a prime number? False Is 240987653 composite? False Is 179276206 composite? True Is 622241 a prime number? True Is 140587 a prime number? True Is 166969399 a composite number? True Is 34226683 a composite number? True Is 801061 prime? True Is 6786301 a composite number? True Is 4747651 a prime number? True Is 6764137 prime? True Is 25213517 composite? True Is 19479397 composite? True Is 60761143 composite? False Is 114047009 composite? False Is 478817 composite? True Is 2335519 a composite number? False Is 572539753 prime? False Is 556685 a composite number? True Is 16293041 a composite number? True Is 257813693 composite? True Is 86578759 a prime number? False Is 24378997 a prime number? True Is 1647097 composite? False Is 29969177 prime? False Is 12582887 a prime number? False Is 241860655 a composite number? True Is 97934917 a prime number? True Is 142003 a composite number? True Is 123779197 a prime number? False Is 39818881 a prime number? True Is 3458557 a prime number? True Is 1296653 prime? False Is 116819 a prime number? True Is 844421 prime? True Is 2036659 prime? False Is 538014023 composite? False Is 121843 a prime number? True Is 126082223 a prime number? True Is 3013501 composite? False Is 62969 a prime number? True Is 21752329 composite? False Is 22712831 a composite number? True Is 788689 a prime number? False Is 10953623 a prime number? False Is 3347567 a prime number? False Is 1162129 a prime number? True Is 302303297 prime? True Is 915391 composite? False Is 191883206 composite? True Is 813343 a prime number? True Is 947189 composite? True Is 10370467 a prime number? True Is 65485999 prime? True Is 324019271 prime? True Is 27210895 prime? False Is 1434732877 a composite number? False Is 13376887 composite? False Is 3362627 prime? True Is 30864553 a prime number? True Is 6889405 a composite number? True Is 9108919 a composite number? True Is 164385527 a composite number? False Is 85127342 a composite number? True Is 191519 a composite number? False Is 6050441 a prime number? True Is 143873 composite? False Is 18855071 a prime number? True Is 1062553 composite? True Is 78359777 a composite number? True Is 944141 a prime number? False Is 5795635 a composite number? True Is 3232279 a prime number? True Is 287089307 prime? True Is 139160495 a composite number? True Is 83846863 prime? True Is 25558847 a composite number? True Is 78697441 a composite number? False Is 7146941 prime? True Is 13377037 prime? False Is 1020781 a prime number? False Is 96047 a composite number? True Is 12960901 prime? True Is 66339687 composite? True Is 156532069 a prime number? True Is 129937 prime? True Is 348637915 prime? False Is 3620053 a prime number? True Is 164844337 a prime number? False Is 6999523 prime? True Is 57691001 composite? True Is 6130907 prime? True Is 15045703 composite? True Is 928683553 composite? True Is 81803793 a composite number? True Is 233160413 a prime number? False Is 1716607 prime? False Is 2111801 a composite number? False Is 73487657 composite? False Is 301543981 a composite number? False Is 3549901 prime? True Is 1239473 a prime number? False Is 5845591 a prime number? True Is 3075539 a composite number? True Is 71488429 a composite number? True Is 23035757 prime? True Is 200807 a composite number? False Is 47894087 prime? True Is 86328041 prime? False Is 776627 composite? False Is 118455829 prime? True Is 42330773 a composite number? False Is 34194161 a prime number? False Is 2773759 prime? True Is 39108049 prime? False Is 146767259 prime? True Is 6301831 a composite number? True Is 2661914 a prime number? False Is 2836373 composite? True Is 493905389 a composite number? False Is 1258934 a composite number? True Is 3508207 a composite number? True Is 75241379 prime? True
{ "pile_set_name": "DM Mathematics" }
for w. 1 Solve -5709*b + 198 = -5707*b - 6*q, -4*b - 3*q - 114 = 0 for b. -3 Solve 3*y - 8*s = 1236 - 1243, 2*y - 14 = -4*s for y. 3 Solve -16215774*m + 16215773*m = -2*u + 7, 2*u - 5 = 3*m for u. 4 Solve g - 5*d + 614 - 614 = -8*d, -5*g = 20*d + 7*d for g. 0 Solve 21 = 4*w + 9672*m - 9675*m, 8 = 2*w - 4*m for w. 6 Solve -3*l - 4971*z + 4974*z - 18 = 0, -3*z = 2*l - 8 for l. -2 Solve t = 39*f - t + 66, -5*t - 2*t = -68*f - 2*t - t - 112 for f. -2 Solve 2*y + 2*j = 22, -j - j - 3*j - 5419 = -717*y + 6078 for y. 16 Solve 226*r + 1144 = 228*r + 554*d, 4*d = 3*r - 46 for r. 18 Solve 4*s + 591 = -13*n + 622, -2*n - 57 = -5*s for n. -1 Solve -10 = 10*b, 37099*b = -4*v + 37098*b + 43 for v. 11 Solve -y = 4155*w - 4150*w - 11, 0 = -2*w + 5*y - 1 for w. 2 Solve 0 = -d - 5*n + 35, 3*d + 126*n - 183 = 386*n - 2003 for d. 0 Solve 5*n = 19*t - 122, 0 = 1179*n - 1177*n + 4*t + 72 for n. -32 Solve 2*g = 4*p + 156, -60 = -0*p + 2*p + 14 for g. 4 Solve 96*v + 2*s - 100 - 104 = 0, -3*v - 3*s - 12 = -6*s for v. 2 Solve 444*w - 902*w - 6*h - 28 = -456*w, -2*w = -4*h + 8 for w. -8 Solve -n - 5*c - 155 = -0*n - 195, -88 = -4*n - 2*c for n. 20 Solve 0 = q - 5*j - 7, 175*j = -2*q - 742 + 201 for q. -8 Solve 26 - 19 = q + 122*k - 126*k, 8*q - 207 + 31 = 2*k for q. 23 Solve 43123*t - 43126*t - 8*g + 21 = 0, 12 = 4*g for t. -1 Solve 2*k + 8 + 8 = k - 4*f, -2*k + 89 = -5*k - 53*f for k. -12 Solve 3825 - 3849 = -y + c, 72 = 3*y - 5*c for y. 24 Solve 639*j + 24 = 635*j, -3*p - 4*j = 36 for p. -4 Solve 18*g - 23*g = -5*i + 15, 0 = -9*g + 13*i - 27 for g. -3 Solve 2*c - 62 = 5*k, 434*k - 431*k + 31 = c for c. 31 Solve 2206*t + 2*d = 2205*t + 51, 5*t - 321 = 56*d for t. 53 Solve 53*u + 3*t = 16 + 28, 11*u = 6*u - t + 2 for u. 1 Solve -2*u - 2 = 2*s, -46774*u - 31 = -46795*u + 5*s for u. 1 Solve 3261*i - 3263*i - 5*v = 30, -3*v + 105 = -7*i for i. -15 Solve 0 = 3*m - 2*j, -55636*j + 55632*j = -2*m + 8 for m. -2 Solve -h + 30 = 6*k + 75 + 31, -k + 4 = -7*h + 2*k - k for h. -4 Solve 137*n - 141*n = 4*m + 20, -8*n - m + 50 = -2*m for n. 5 Solve 5*m - 103 = r, 21*m - 97 = 16*m - r for m. 20 Solve 5*j + 236*h + 5 = 226*h, -2*h = 14*j + 14 for j. -1 Solve -1410*m + 6 = -1413*m, -q = 21*m + 24 for q. 18 Solve 44*f - 305 = 5*n + 39*f, -25*f = 2*n - 28*f + 124 for n. -59 Solve d + 27 = 5*j - 46, -21 = -j - 2*d - 2 for j. 15 Solve -3*y - 19 = 4*b, -7*b + 7256 = 2*y - 5*b + 7266 for y. -1 Solve -3 = p - 7, 0*x - 8*x - 3*p = -13*x - 42 for x. -6 Solve 2*b + 6 - 12 = -y + 5, 12*b - 2*y + 622 = 648 for b. 3 Solve 55 = -4*m + 59, -41*x + 28 = -42*x + 3*m for x. -25 Solve 5*h = -3*u - 4, 4*h + 10 = 3*u - 12 - 19 for h. -5 Solve -16 = -v - n, -37*v = 12*n - 15*n + 8*n - 592 for v. 16 Solve 7*x = 16*x - 7*x, 3*k - 13*x - 11*x = 15 for k. 5 Solve -m + 172*w = -3*m - 6538, -5*m - w + 9 - 52 = 0 for m. -1 Solve 22 = -5*q - f, 635*q = 1268*q - 635*q + 2*f - 16 for q. -5 Solve -12*h + 121 - 46 = -y, -5*h - 2*y - y - 20 = 0 for h. 5 Solve -3*v - 21*y + 169 - 187 = 0, -33 = -3*v - 4*y for v. 15 Solve 3*s - 2*l + 202 = 198, 36 = -8*s - l for s. -4 Solve 4*c - 11*t = 12*t - 35*t + 56, 2*t = -2*c - 2*c + 6 for c. -1 Solve -l - 4*t - 66 = 0, l + 730*t - 62 = 734*t for l. -2 Solve -109 = 7*z - 5*y, 0 = -2*z + 56733*y - 56735*y + 58 for z. 3 Solve -79*r + 27 = -3*x + 69*r - 134*r, -3*x = 3*r - 24 for x. 5 Solve -4*p - 42754 = 2*w + 42706 - 85572, -p + 23 = -2*w for p. 27 Solve 22*h - 131 = j, -93*h - 4*j + 8 = -92*h - 2*j for h. 6 Solve 0 = 7*l - 2*x - 12, -2*l - 12874*x = -12872*x - 6 for l. 2 Solve 5*l + 51 = -7206*s + 7208*s, -5*l + 11*s - 78 = 0 for l. -9 Solve 0 = 6*p + 25*j - 16*j - 93, -j = 5*p - 58 for p. 11 Solve -o - 6 + 14 + 14 = 14*f, 5*f - 3*o + 19 = 0 for f. 1 Solve 0 = -6*d - 24, -111872*f + 111874*f - 5*d = 30 for f. 5 Solve 2*a + 6*i + 2*i = 5*i - 128, 6*a + 157 + 171 = 5*i for a. -58 Solve -5*x - 5*w - 1 = 74 - 15, 0*x + 2*x + 31 = -3*w for x. -5 Solve -w = 2*a - 39, -4*w + 6*a - a + 0*a = 78 for w. 3 Solve 19 + 153 = 5*j + 18*p, 4*p = -j + 36 for j. 20 Solve -y + 3*l = -1 + 9, 5*y - 58 + 32 = -7*l for y. 1 Solve -2*u + 202 = n, n - 5771 = 4*u - 6187 for u. 103 Solve -4*v + 9*z = 7*z - 298, -6*z + 0*z - 818 = -11*v - 2*z for v. 74 Solve 5*q + 6*s = -24, q + 9*s = 19*s - 5*s + 32 - 12 for q. 0 Solve -37*f - 17*q + 24 = -19*q + 79, -2*q = 56 for f. -3 Solve 3*c + 29*l = 127, -4*c - 744*l + 739*l + 1 = 0 for c. -6 Solve 3*c - j + 4*j + 23 = 46 - 11, 0 = -c + 2*j - 17 for c. -3 Solve -4*s + 144 = -6*q, -2*s = 19*q - 778 + 1278 for q. -26 Solve -32*k - 76 = -w - 205, w - 12 = 2*k - 21 for k. 4 Solve 95328*y = 2*w + 95324*y + 44, -8*w + 7*w - 27 = -3*y for w. -12 Solve 3*h + 950858 = -2*z + 950670, -4*z - 2*h - h = 184 for z. 2 Solve -497*y - 10 = -5*x - 494*y, y - 20 = -3*x for x. 5 Solve -66*h + 49*h = 3*d - 61 - 8, -24 = -3*d - 2*h for d. 6 Solve 81*p + 53*p = 149*p + 75, 2*j + 4*p - 6 + 2 = -32 for j. -4 Solve 4*w = 9*a - 7*a + 10, 86*w - 5*a = -80*w + 155*w + 31 for w. 6 Solve -4*f + 32 = r - 18, 13*r + 6 = 3*f - 2*r for f. 12 Solve 0 = -5*g - 5*x - 15, 0 = -66*g + 65*g + 5*x - 33 for g. -8 Solve 5*k + 27 = -u, -3*u - 7481*k = -7461*k + 111 for u. 3 Solve 1787*w - 7*b - 5*b - 39299 = -3*b - 6*b - 0*b, 0 = 4*w + 3*b - 103 for w. 22 Solve -4 = -2*a + 4*h, -5*a + 9*h = -1785 + 1777 for a. -2 Solve a = -y + 8, 3*y - 2*a + 9 = -4 + 17 for y. 4 Solve 3*n + 2*h = 57 + 31, 35*h + 47*h = n + 21*h + 279 for n. 26 Solve -z + 2215*f - 2213*f + 27 = 0, 3*f = 8*f + 60 for z. 3 Solve 0*g - 2*g + 28 = 5*g, 2*o - 60*o - 109 = 34*o + 3*g + 431 for o. -6 Solve -4*g + c + 3*c - 104 = 0, -g - 3016 + 2987 = -2*c for g. -23 Solve 16*b - 6*b - 5 = 2*b + 4*b + 2*a - 1, 4 = -a for b. -1 Solve 90 = h - 6*h + 4*m - 21*m, 0 = 4*m + 20 for h. -1 Solve 15*y + 19*y = 379*j - 374*j - 705, 5*y + 75 = -5*j for j. 5 Solve 2*x = 6*m - 100, 2222*m - 8*x = 2226*m - 76 for m. 17 Solve 0 = -w + z - 253 + 248, 0 = 4*w - 16*z + 116 for w. 3 Solve 0*y - 4*y + 903367*x - 903370*x - 24 = 0, 0 = 4*y - 4*x + 52 for y. -9 Solve 5*u - 184*x + 131 - 40 = -93*x - 87*x, -u + 3*x = 71 for u. 1 Solve -55*l + 33 = -64*l - 5*f, -2*l - f = 8 - 1 for l. -2 Solve 5*w + 489549*f + 30 = 489544*f, f = 2*w + 3 for w. -3 Solve 25*y + 18*y - 8*n - 8*n = 39*y + 40, 0 = 3*n + 15 for y. -10 Solve 0 = -3*b - 3*m - 18, -30*b + 132 = -19*b + m - 8*m for b. 5 Solve p - 4*o = -35, 2*p - 3789*o - 100 = -3798*o for p. 5 Solve 37 = -2*i + 11*u, 0 = -1583*i + 803*i + 801*i + 5*u - 214 for i. 9 Solve 76 = 2*k + 4*b, 3*k + 0*k + 559*b + 46 = 561*b for k. -2 Solve 0 = -1568875*r + 1568872*r - 5*y + 18, 5*r - 8 = -y for r. 1 Solve 0 = 28*z - 29*z + 3 - 7, 4 = -3*u + 5*u + 5*z for u. 12 Solve 21*b + 2*i = -30, 5*b + 12 = 2*i - i - 3*i + 14 for b. -2 Solve 0 = 3*s + 4*a - 368 + 403, 2*s - 4*a - 1 - 9 = 0 for s. -5 Solve 3*m - 176490 + 176461 = -4*l, -4*l + 20 = 0 for m. 3 Solve 0 = 11*m - 2*y - 28, 4*m + 370*y + 372*y - 23 = 747*y for m. 2 Solve 36 = 3*s - 3*g, -4*s - 41090*g + 41091*g = -s - 16 for s. 2 Solve 4*z - v - 4 - 18 = 4*v + 22, -4*v = -3*v + 12 for z. -4 Solve 206 - 59 + 255 = -7*r - 141*l, 0*r + 5*l + 9 = -2*r for r. 3 Solve -4*d - 14 = -y + 1, 5*y + 184*d - 180*d - 195 = 0 for y. 35 Solve 5*x + 25 = -0, -1302*x - 25 = -m - 1301*x + 7 for m. 27 Solve -g = 2*m - 1 + 1 - 6, m - 19*g = -m - 74 for m. 1 Solve -2*h + 2*d = 20, 9*h - 21*h - 299*d - 120 = -313*d for h. -10 Solve 130*q + 5*b = 625, 17*q + 17*q = 39*q + 4*b - 5 for q. 5 Solve 5*o + 80 = -14*d, 21*d - 4*o = 14*d + 2*d + o - 15 for d. -5 Solve 2*i + 34 = -2*c, -123038*c - 2*i = -123042*c + 22 for c. -2 Solve -j = -5*s - 10, -43802*s = -43807*s - 2*j + 65 for s. 3 Solve -b + 13 = 4*k, 0 = -5*b + 5*k + 473 - 868 + 435 for b. 9 Solve 0 = 4*d + k + 1420126 - 1420188, -3*k = 2*d - 226 for d. -4 Solve 0 = -4*u - 5*w + 58, 759571*w - 11 = -u + 759568*w for u. 17 Solve 5*j + x = 18, 10*j + 176 = -x + 179 for j. -3 Solve 0 = 4*f - 18*d - 34, 5*f + 16 = -41*d + 93*d - 49*d for f. -5 Solve -5*u = 79*p - 21*p + 347, -5*u = p + 119 for p. -4 Solve 2*y - 80 = 15*x, 0 = 3*x - 662*y + 667*y - 38 for x. -4 Solve -14*v = 56, -4*v - 22 = -8271777*f + 8271776*f for f. 6 Solve 41*m - 37*m = 2*v + 7 - 5, 0 = -4*m + 68*v - 196 for m. 2 Solve 92 - 185 = -2*j - 6*j + 4*j - 2*a - 91, -14 = -3*j + a for j. 3 Solve 0 = 10*l - 2
{ "pile_set_name": "DM Mathematics" }
7*c + k = -3529521. What is c rounded to the nearest one hundred thousand? -900000 Let t = -936.6 - -936.637126. Let y = 0.037 - t. What is y rounded to five dps? -0.00013 Let b = -103 - -55. Let x = b - -48.000031. Round x to five decimal places. 0.00003 Let u = 0.202 + -0.29. Let d = -0.0879963 - u. Round d to 6 decimal places. 0.000004 Let k = -2037.4 + 2078.423. Let n = k - 41. Let c = n - 0.0067. What is c rounded to three decimal places? 0.016 Let t = -0.0379 + 20.1279. Round t to the nearest integer. 20 Let w = 108.6 - 1.6. Let b = 107.059 - w. Round b to two decimal places. 0.06 Let h = -0.261 + 0.26475. Round h to four dps. 0.0038 Let r = 143955365.6923417 - 143955379. Let d = r + 13.24064. Let g = -0.067 - d. What is g rounded to six dps? 0.000018 Let x = -20537 + 20537.0352596. Let r = x - 37.0233596. Let w = r - -37. Round w to 3 decimal places. 0.012 Let y = -115.6 - -187. Let k = y + 1.4. What is k rounded to the nearest 10? 70 Let b be 105/9*(7 + 44). Round b to the nearest 100. 600 Suppose -2*y = -x + y + 747196, 4*x + 2*y = 2988854. Suppose -3*r = 172233 + 629400. Let m = r + x. Round m to the nearest 100000. 500000 Let q be (1 - (6 + 2)) + 943107. Round q to the nearest 10000. 940000 Let q = 531555 + -232096. Suppose -6*a = 198541 + q. What is a rounded to the nearest ten thousand? -80000 Let v = 44 + 4. Let t = v + -29. Let i = t + -19.00000021. Round i to 7 decimal places. -0.0000002 Suppose 104 + 76 = 5*u. Suppose 0*i = 3*i - u. Suppose -161 = 5*q - i*q. Round q to the nearest ten. 20 Let z = -29 + -4. Let q = -33.00001 - z. Round q to four dps. 0 Suppose 4*j - 2*p = 79992, -60011 - 5 = -3*j - 4*p. Let c be 10*j*(6 - 5)/1. What is c rounded to the nearest ten thousand? 200000 Let g = -6.36 - -5. Let w = -0.09 + g. Round w to 1 decimal place. -1.5 Let g = -63.981 - -64.4. Let y = -2.1 - -1.62. Let m = y + g. What is m rounded to two decimal places? -0.06 Suppose -218529436 + 8249436 = 2*r. What is r rounded to the nearest one million? -105000000 Let m = -53040 - -53051.0115. Let g = m + -11. Round g to three dps. 0.012 Let q = 5.7 + -5.766. Let h = 0 - q. What is h rounded to 2 decimal places? 0.07 Let f = 28.83 - 29. Let z = -1.83 + f. Let r = z + 12.2. What is r rounded to 0 decimal places? 10 Let x = 884.4 + -883.0626. What is x rounded to one decimal place? 1.3 Let g = -4.03 - -4.4244. What is g rounded to 2 decimal places? 0.39 Let r = 2.7367 - 2.852. Let v = r + -5.8865. Let l = v - -6. Round l to 3 decimal places. -0.002 Let q = -100.6 + 91.9. What is q rounded to the nearest 10? -10 Suppose -4 = -r, 5*k - 82 = 5*r + 268. Let i = 16 - k. Let f = i + 133. Round f to the nearest 10. 80 Let f = 363.3 - -47.7. Let b = -354.8 + f. Let t = b - 51. What is t rounded to zero decimal places? 5 Let v = 29.7 + -29.700078. What is v rounded to five decimal places? -0.00008 Let t be 6 - 5 - 6 - 1399995. Round t to the nearest 1000000. -1000000 Let f = 902008 - 902006.759834. Let m = -5.24011 + f. Let d = -4 - m. Round d to 5 decimal places. -0.00006 Let x = 0.9 + -0.93. Let l = x + 2.03. Let q = l + -2.0004. Round q to four decimal places. -0.0004 Let t = 10.638549 + -10.64. Round t to three decimal places. -0.001 Let v = 42 - 117. Let u = v + 75.26. Round u to 2 decimal places. 0.26 Let t = 9.3215 - -107.3965. Let c = -117 + t. Let z = -0.28319 - c. Round z to 4 decimal places. -0.0012 Let c = -8902951 - -8902818.00118. Let h = c - -133. What is h rounded to 4 dps? 0.0012 Let x = 10 + -9.65. Let l = -17977.750076 + 17977.4. Let w = l + x. What is w rounded to 5 dps? -0.00008 Let p = 331 - 333.86. Let k = 2.859999348 + p. What is k rounded to seven decimal places? -0.0000007 Let o = -0.196 - -839.596. What is o rounded to the nearest 100? 800 Let g = 0.3537 - 2.8567. Let a = g + -0.097. Round a to the nearest integer. -3 Let k = -1293915588.0000099 - -1293915708. Let y = -120 + k. Round y to six dps. -0.00001 Let u = 48.1 - 248.1. Let z = u - -219.025. Let p = z + -19. What is p rounded to 3 dps? 0.025 Let a = 9108 + -9496.9. What is a rounded to the nearest 100? -400 Let y = 10.067 - 10.85. Let a = -0.83 - y. What is a rounded to 2 dps? -0.05 Suppose 3*c = 4653 - 597. What is c rounded to the nearest one thousand? 1000 Let f = 1499.16 - 1487. Round f to the nearest integer. 12 Let c = 1446 - 1446.0000002. Round c to 6 dps. 0 Let c = -89 - -88.99175. What is c rounded to 3 dps? -0.008 Suppose -7*r + 3*r = 0. Suppose -4*u + 5*u + 2846 = 5*s, s - u - 566 = r. Round s to the nearest one hundred. 600 Let x = 42106 - 42812.22. Let y = x + 712. Round y to the nearest integer. 6 Let q = 16.79 + -16.75804. Round q to three decimal places. 0.032 Let i = 5945326315 + -5945255993.10017. Let n = -70323 + i. Let s = 1.1 + n. Round s to four decimal places. -0.0002 Let f = 0.1971 + -0.197093088. Round f to 6 dps. 0.000007 Suppose -4*q = -q + 240. Suppose 3*a + 2*w = -473, -8*w = -2*a - 11*w - 322. Let n = a - q. What is n rounded to the nearest ten? -80 Let z = -0.1605 + 0.16051722. Round z to seven dps. 0.0000172 Let y = -6.58 - 291.42. Let c = 297.809 + y. Let i = c + 0.2. Round i to 3 dps. 0.009 Let o = -4237 + 7637. What is o rounded to the nearest 1000? 3000 Let n be 1*7683212/(-28) + 6/14. Round n to the nearest ten thousand. -270000 Let q = 74 + -83.6. Let g = 9.59708 + q. Round g to four decimal places. -0.0029 Let a = 252 + -181. Let p = -15689.47 + 15618. Let o = p + a. What is o rounded to one dp? -0.5 Let i be (-6)/(-4)*4056880/(-114). Round i to the nearest 10000. -50000 Let u be (16 + 15 + -25)/(3/(-57100)). Round u to the nearest ten thousand. -110000 Let o = -2780 - -2780.5965. Let n = o + -0.396. Let q = n - 0.21. Round q to three decimal places. -0.01 Let z = -72 - -424. Let r = -352.000143 + z. What is r rounded to 5 decimal places? -0.00014 Let r = 841 + -840.997368. What is r rounded to 4 dps? 0.0026 Let a = -31.1 + 30.809. Let v = 0.125 + a. Round v to 2 decimal places. -0.17 Let w = 2.3 + -2.2561. Let p = 0.2709 - w. Round p to two decimal places. 0.23 Let b = -418.421 - -418. Round b to two dps. -0.42 Let c = -5376.005 + 5364. Let n = -12 - c. What is n rounded to 2 decimal places? 0.01 Let d = 0.4 - 3.1. Let t = -3.8 - d. Let u = 1.10000064 + t. Round u to seven decimal places. 0.0000006 Let v = -28 - -13. Let j be 17500/7*204/v. What is j rounded to the nearest 10000? -30000 Let c = 12 + -10. Let f be (-328999995)/35 + c/(-14). What is f rounded to the nearest one million? -9000000 Let r = 66390371 + -125570371. What is r rounded to the nearest 1000000? -59000000 Let t = -0.0658 + -0.6442. What is t rounded to one decimal place? -0.7 Let q = 24.6 - 24.60000199. What is q rounded to 7 decimal places? -0.000002 Let d = -466460227.9999766 + 466460269. Let k = d - 41. Round k to six decimal places. 0.000023 Let r = -0.02 + -0.38. Let z = -815 - -815.39925. Let f = r + z. Round f to four dps. -0.0008 Let c = 363235489 - 363235518.99999797. Let n = -30 - c. What is n rounded to 7 dps? -0.000002 Let p = 16402 - 1422. What is p rounded to the nearest 1000? 15000 Let w = 12.132688 - 12.111688691. Let l = 0.021 - w. Round l to seven dps. 0.0000007 Let p = 65.16 - -0.84. Let f = p + -65.9999979. What is f rounded to 6 dps? 0.000002 Let y = 4451.3160002 - 4451.25. Let g = y + -0.066. Round g to 7 dps. 0.0000002 Let o(x) = -55*x**3 + 11*x**2 - 12*x + 12. Let n(j) = 11*j - 2. Let h be n(1). Let m be o(h). Round m to the nearest ten thousand. -40000 Let c = 25 - 35. Let o be c/(-40) - (-1679998)/8. What is o rounded to the nearest one hundred thousand? 200000 Let m = 18.61 - 0.11. Let c = 23 - m. Round c to zero decimal places. 5 Suppose -m + 21869998 = 3*o, 2*m = -2*o - 2*m + 14579992. What is o rounded to the nearest one hundred thousand? 7300000 Let j = -220991486.000047 - -220991388. Let t = j + 98. Round t to five dps. -0.00005 Let s = -389.99999463 - -390. Round s to 7 dps. 0.0000054 Let v = -12 + 66. Let l = 54.000132 - v. What is l rounded to five decimal places? 0.00013 Let r = -9276.58 + -13.42. Let a = 9196.73 + r. Let m = -91 - a. What is m rounded to one dp? 2.3 Let f = 15 - 12. Let j be (330/44)/(f/80000). Suppose 0 = v + 3*v + j. What is v rounded to the nearest ten thousand? -50000 Let t(l) be the first derivati
{ "pile_set_name": "DM Mathematics" }
Let f be (-48675)/4425 + 1*6194/24. Is 248 less than or equal to f? False Suppose -2*r - 13 + 19 = 0. Suppose z + r*a - 15 = 0, 2*a - 40 = -3*z - 2*a. Suppose -19 = 2*u - 5*o, 3*u + 2*o - 4*o + z = 0. Is u != -7/4? True Let h = -465 + 204. Let s = -17489/67 - h. Which is bigger: s or -6? s Let w = -4414 + 392850/89. Suppose 4*u + 3*z - 14 = 0, 69*u - 68*u = -z + 5. Is u less than or equal to w? True Let d = -4.561 + 0.061. Let s = 61.5 + d. Which is smaller: s or -3? -3 Let p = 14161044/17 - 277046769/340. Let i = p + -18152. Let k = i + -27/4. Is k at least 1.6? False Let b = 67 + -67. Let m = 201 + -195. Let j be (m/332)/(60/(-16)). Is b >= j? True Suppose -4 = -2*t, -3*j - 2*t = -5*j + 4. Let a be -3 - (-9 - 2/j*2). Let r be 8/12 - (-40)/3. Which is smaller: a or r? a Suppose -4*d = -2*b + 4*b - 174, -4*b = -5*d + 250. Let f = d + -15. Let v = 0.33 + -0.53. Which is bigger: v or f? f Let u = -162 - 195. Which is smaller: u or -1786/5? -1786/5 Let z(p) = p**3 - 12*p**2 + 11*p + 3. Let v = 5 + 6. Let i be z(v). Let y be (3/6)/(i/(-336)). Is -57 greater than or equal to y? False Suppose -v - 20 - 16 = 0. Let a be v/(-315)*(15/(-2))/3. Let l = 8 - 15. Is a smaller than l? False Let m(c) = -14*c**3 + c**2 + 4*c - 7. Let g be m(-3). Suppose 0 = 32*a - 30*a + g. Is -184 less than a? False Let b = 38261 - 38275. Let y = -4 - -3.92. Which is greater: y or b? y Let i be 1/3*(-9)/(-183). Let z(w) = w + 3. Let m be z(-2). Is m at least as big as i? True Let l = -2335 - -2021. Is l greater than or equal to 2? False Let w be (-15*(-12)/(-812700))/(2/(-18)). Is -1 >= w? False Let y(v) = -2*v**2 - 11*v - 1. Let u be y(-5). Let p be (-240)/2*(-2)/4*u. Let r be 1 + (-4)/(p/76). Which is smaller: 0 or r? r Let d = 0.21 + 0.01. Let a = 1014723/4 - 255164. Let u = 1483 + a. Do u and d have the same value? False Let f = 4635 + -4156. Is f equal to 475? False Suppose -150*d + 145*d = -n + 15, 0 = n + 2*d + 6. Is n greater than -14081? True Let o = -0.4 + 0.3. Let y = -25763177/1787 + 14417. Let b = y - -7130/16083. Which is bigger: o or b? b Let d(i) = i**2 - 11*i + 27. Let h be d(12). Let p(v) = v**2 - 17*v - 18. Let j be p(20). Let m = h - j. Which is greater: m or 8? 8 Let v = 1451.6 + -1747.6. Are v and 0.25 nonequal? True Let g = -8886 - -14212. Which is greater: g or 5325? g Let x = 0.586 - -7.954. Let g = -26.54 + x. Is g at least -21? True Suppose 5*v - 4*r + 2649 = 0, -4*v - 2*r - 2125 = -11*r. Which is greater: -2638/5 or v? -2638/5 Let n be (-3)/((4/(-6))/((-48)/(-216))). Which is smaller: n or 3/31? 3/31 Let t = -3622 + 3616. Which is bigger: t or 13/5? 13/5 Let r be (-26)/30 + 19/(1425/(-10)). Which is smaller: r or -20/47? r Let l = -467.239 + 467. Let v = l - 8.361. Is v > -2/7? False Let a = -54 + 166. Suppose 21*r = -7*r + a. Do 2 and r have the same value? False Let p = 13228 + -12776. Which is bigger: 448 or p? p Suppose 5*y - 8 = 12. Suppose k = 2*f - 5, -f + y*k = 3*f. Let i = 5308/7 + -752. Is f bigger than i? False Suppose -51098 = 20*b + 103702. Is -7740 greater than or equal to b? True Suppose -4*h - 20 = 4*k, -3 = 2*k - 3*k. Let b be (13 - h - -7) + 4. Which is smaller: -7/3 or b? -7/3 Let p = 8.7 - -60.3. Let l = -68.7 + p. Let r = 13 - 14. Are r and l equal? False Let s = -18 - -30. Let b = 16 - s. Suppose 3*r - 34 = -b. Is r < 10? False Let f = -12373 + 12311. Is f bigger than 1/57? False Suppose -1063 = -5*l + 2*z + 30686, -4*l + 2*z + 25398 = 0. Suppose l = 31*h - 2763. Does 1/2 = h? False Let f(m) = m**3 + 8*m**2 - 57*m - 44. Let n be f(-10). Is 331 greater than or equal to n? True Suppose 85 = -3*j + 268. Suppose 6*n = 163 - j. Is 24 <= n? False Let o = -5089 - -5076. Suppose 2*m = -248 + 70. Let s = o + m. Which is smaller: -103 or s? -103 Suppose -5*i + 3*o + 34 = 0, -13 = -10*i + 8*i + o. Suppose p - i*n + 45 = -7, -4*n = 4*p + 88. Which is smaller: p or -28? -28 Let f = -478 - -479. Let s = -57 - -39. Let i = s - 10. Is i at most as big as f? True Let h = -4.485 - -4.377. Which is smaller: 54 or h? h Let d(n) = n + 87. Let v be d(-29). Let o = -58 + v. Which is smaller: 3/134 or o? o Suppose -4*v + 6410 = 6126. Let l(q) = 2*q**2 - 3*q + 5. Let r be l(-5). Let j = v - r. Is -2/39 > j? False Let p(x) = x**3 + 5*x**2 - x + 6. Let l be p(6). Let i = -130 + l. Is 266 at least i? True Let p = -91 - -62. Let w = -13 - p. Let f = 15.7 - w. Is f less than 4? True Suppose 0 = -9*k + 11173 + 16655 + 25920. Is k smaller than 5973? True Let t = 206 - 206.004. Let d = -0.196 + t. Let c = 6.1 - 0.1. Which is bigger: c or d? c Suppose -5 = -4*o + 3. Suppose 5*g + 1 - 4 = -2*j, 3*j = -o*g - 1. Let t(s) = 11*s. Let i be t(j). Which is greater: -13 or i? i Let f = -21.13 + -44.92. Let l = f - -66. Is l < -25/2? False Suppose 6*o - 125 = -19*o. Let l(m) = 3*m + 9. Let h(q) = -1. Let v(p) = 12*h(p) + l(p). Let w be v(3). Which is smaller: w or o? o Let x = 948 + -1029. Let m = 65 + x. Is 4/9 != m? True Let i = 2177/3 - 435403/600. Is i at least -1? True Let g = -5420 - -5764. Is -0.02 greater than g? False Suppose -242 = -3*x + 634. Let v = 4091/14 - x. Which is smaller: 1 or v? v Let l = -659 - -676. Let z be (-32)/l + 2 - (10 - 10). Is -16 greater than or equal to z? False Let t be 1004/(-251)*(-2)/130. Which is greater: -0.1 or t? t Suppose 5*a - 2085 = 5*o, -7*a - 3*o + 429 = -6*a. Let g = -431 + a. Which is bigger: -6 or g? -6 Suppose 7*n = 4*n + 135. Let b be 50/(-125) + ((-118)/(-5))/(-1). Let q be (b - -20)*(-1 - 10). Which is smaller: n or q? q Suppose -53*u - 32 = -61*u. Suppose -27 = -b + u*t, 0*b - 3*t = -b + 23. Does b = 2/11? False Let i(x) = 6*x - 1. Let m = -15 - -15. Let t be i(m). Which is smaller: t or -1/1005? t Suppose 4*j - 16 - 12 = 0. Suppose 4*q - 32 = -0. Let l = q - j. Which is greater: l or 2/107? l Suppose -81*w = 284*w + 108040. Which is bigger: w or -307? w Suppose -108 = -2*o - 4*c, -o - 12*c = -8*c - 54. Suppose 3*u = -4*f + 181, -o*f = -50*f + 20. Which is smaller: u or 2/3? 2/3 Let b = -6531 + 5637. Is -899 greater than b? False Suppose -79*s - 453 = -76*s. Let a = 145 + s. Is a bigger than -6? False Let h = 620/21 - 2974/105. Let a be ((-2)/16)/((-1)/2). Is h less than or equal to a? False Let x = 6 - -53. Suppose -3*t + x - 98 = 0. Which is smaller: t or -10? t Let o be (-41 + 278460/425)/(2/5 + -1). Is -1025 >= o? False Let g = -14051 - -14047. Let v = 15 + -101. Is v less than g? True Let p = 817 + -599. Let t be ((-7)/15)/((-34)/p) + -3. Which is smaller: t or 1? t Suppose 0 = -4*g + 24 - 0. Suppose 31*d - 28*d = 30. Suppose d = 3*v - v. Is g at most as big as v? False Let s = -7875 + 7858. Is s <= -41? False Suppose 10*y = 1345 + 3735. Which is smaller: 506 or y? 506 Suppose -16*g + 26*g = -80. Is -48/7 >= g? True Let n = -733.4925 + 732.6. Is n greater than -0.1? False Suppose 3*q + 0*s + 3*s - 18 = 0, 0 = -3*q + s + 6. Suppose 5*i + 15 = 0, x - q*i = 2*i + 31. Let t be 9*4*12/x. Which is smaller: t or 26? 26 Let a be -4*(44/(-16) + 1). Suppose a*g - 187 = -4*g. Let l = g + -14. Is l != 8/5? True Let d(q) = q**2 + 11*q - 6. Let n be d(-10). Let s be (-8)/10 + n/(-20). Is s <= 2/463? True Let i = -4.015 + 4.075. Which is smaller: -86 or i? -86 Suppose 0 = -127*k + 130*k - 54. Suppose 23*q - 29*q = -k. Which is greater: 19/9 or q? q Let q be (3 + -5)*(-24 - 74). Suppose q - 640 = -12*c. Which is greater: 38 or c? 38 Let d(w) = 2*w**3 - 22*w**2 - 3*w + 15. Let v be d(10). Let z = v + 204. Is -11 at most as big as z? True Let h = -110 - -155. Suppose h = -3*m - 6*m. Let f be (-2)/((-4)/2)*(10 + -10). Is f at most m? False Let q(k) = 122*k - 5021. Let f be q(65). Is f at least 2911? False Let c be (-64 - (-6)/(-15)*15)*(-574)/(-7). Is c at least as big as -5741? True Let h(q) = 30*q + 24. Let i be h(-1). Let b be (-10)/((1 + (-22)/21)*i). Is b less than -35? False Suppose 5*l - 1028 = -2*j, -3*j = -5*l + l - 1588. Suppose 6*m - j = 82. Suppose -3*y + 305 = -29*s + 28*s, -3*s = 2*y - 185. Which is smaller: y or m? y Suppose 147*q = 162*q - 15. Which is smaller: 2/63067 or q? 2/63067 Suppose 14510 = -83*i - 58713 - 106638. Is i smaller than -2166? True Let u be (-2680)/9 - 2/9. Let p = -299 - u. Is 2/351 < p? False Suppose -40 = 3*p + 2*a - 6, 54 = -3*p + 3*a. Let o be p/4 - (-7)/(-14). Let t be (2/2)/(o/72
{ "pile_set_name": "DM Mathematics" }
22? 4 What is the hundreds digit of 208? 2 What is the thousands digit of 5419? 5 What is the tens digit of 33879? 7 What is the tens digit of 146359? 5 What is the units digit of 1902? 2 What is the tens digit of 3148? 4 What is the units digit of 3230? 0 What is the hundred thousands digit of 147184? 1 What is the tens digit of 1587? 8 What is the units digit of 70143? 3 What is the ten thousands digit of 22702? 2 What is the hundreds digit of 72805? 8 What is the hundreds digit of 1001? 0 What is the tens digit of 12719? 1 What is the ten thousands digit of 18976? 1 What is the tens digit of 14043? 4 What is the tens digit of 14265? 6 What is the units digit of 92234? 4 What is the units digit of 552? 2 What is the thousands digit of 87817? 7 What is the hundreds digit of 1627? 6 What is the tens digit of 689? 8 What is the ten thousands digit of 50720? 5 What is the units digit of 747? 7 What is the units digit of 8660? 0 What is the tens digit of 2098? 9 What is the hundreds digit of 27621? 6 What is the ten thousands digit of 62521? 6 What is the units digit of 1799? 9 What is the thousands digit of 8154? 8 What is the hundreds digit of 19281? 2 What is the tens digit of 2785? 8 What is the hundreds digit of 782? 7 What is the ten thousands digit of 21766? 2 What is the ten thousands digit of 32391? 3 What is the hundreds digit of 5674? 6 What is the thousands digit of 31993? 1 What is the thousands digit of 16889? 6 What is the hundreds digit of 6383? 3 What is the units digit of 1614? 4 What is the ten thousands digit of 79224? 7 What is the units digit of 24375? 5 What is the units digit of 1212? 2 What is the tens digit of 958? 5 What is the units digit of 3958? 8 What is the hundreds digit of 132? 1 What is the hundreds digit of 1713? 7 What is the units digit of 29533? 3 What is the units digit of 966? 6 What is the ten thousands digit of 17226? 1 What is the hundreds digit of 96407? 4 What is the thousands digit of 14684? 4 What is the tens digit of 88436? 3 What is the hundreds digit of 27026? 0 What is the hundreds digit of 9292? 2 What is the hundreds digit of 2076? 0 What is the units digit of 1354? 4 What is the tens digit of 15559? 5 What is the units digit of 4111? 1 What is the thousands digit of 1438? 1 What is the hundreds digit of 8451? 4 What is the hundreds digit of 2735? 7 What is the hundreds digit of 441? 4 What is the hundreds digit of 27705? 7 What is the tens digit of 37095? 9 What is the thousands digit of 38150? 8 What is the hundreds digit of 5972? 9 What is the tens digit of 9143? 4 What is the tens digit of 49229? 2 What is the ten thousands digit of 17001? 1 What is the tens digit of 1080? 8 What is the units digit of 315? 5 What is the tens digit of 662? 6 What is the tens digit of 16663? 6 What is the thousands digit of 5437? 5 What is the tens digit of 612? 1 What is the hundreds digit of 268? 2 What is the hundreds digit of 4332? 3 What is the hundreds digit of 561? 5 What is the tens digit of 7768? 6 What is the tens digit of 1625? 2 What is the hundreds digit of 726? 7 What is the units digit of 29? 9 What is the thousands digit of 3103? 3 What is the units digit of 1274? 4 What is the ten thousands digit of 19038? 1 What is the ten thousands digit of 79240? 7 What is the hundreds digit of 736? 7 What is the thousands digit of 64190? 4 What is the tens digit of 782? 8 What is the units digit of 34039? 9 What is the tens digit of 276? 7 What is the tens digit of 3129? 2 What is the units digit of 949? 9 What is the tens digit of 4853? 5 What is the hundreds digit of 4318? 3 What is the units digit of 1955? 5 What is the tens digit of 19304? 0 What is the tens digit of 533? 3 What is the hundreds digit of 1045? 0 What is the units digit of 27475? 5 What is the hundreds digit of 2001? 0 What is the units digit of 308? 8 What is the thousands digit of 3854? 3 What is the tens digit of 1887? 8 What is the hundreds digit of 95846? 8 What is the hundreds digit of 1566? 5 What is the ten thousands digit of 12457? 1 What is the hundreds digit of 1044? 0 What is the hundreds digit of 4653? 6 What is the hundreds digit of 33039? 0 What is the ten thousands digit of 44506? 4 What is the tens digit of 1261? 6 What is the units digit of 8776? 6 What is the hundred thousands digit of 114869? 1 What is the units digit of 802? 2 What is the hundreds digit of 1960? 9 What is the tens digit of 1908? 0 What is the units digit of 55721? 1 What is the ten thousands digit of 15708? 1 What is the units digit of 31499? 9 What is the hundreds digit of 1603? 6 What is the tens digit of 11163? 6 What is the tens digit of 974? 7 What is the ten thousands digit of 113417? 1 What is the thousands digit of 7499? 7 What is the units digit of 877? 7 What is the tens digit of 4187? 8 What is the tens digit of 1418? 1 What is the thousands digit of 4028? 4 What is the thousands digit of 34936? 4 What is the hundreds digit of 947? 9 What is the thousands digit of 1013? 1 What is the units digit of 4398? 8 What is the tens digit of 37718? 1 What is the hundreds digit of 72420? 4 What is the units digit of 3090? 0 What is the hundreds digit of 4675? 6 What is the units digit of 42098? 8 What is the hundreds digit of 957? 9 What is the tens digit of 1326? 2 What is the tens digit of 2206? 0 What is the thousands digit of 8210? 8 What is the tens digit of 2804? 0 What is the thousands digit of 9538? 9 What is the units digit of 7839? 9 What is the hundreds digit of 8755? 7 What is the hundreds digit of 27917? 9 What is the units digit of 12403? 3 What is the units digit of 4451? 1 What is the tens digit of 3217? 1 What is the tens digit of 13294? 9 What is the units digit of 78? 8 What is the thousands digit of 1409? 1 What is the hundreds digit of 616? 6 What is the tens digit of 665? 6 What is the hundreds digit of 819? 8 What is the ten thousands digit of 33234? 3 What is the ten thousands digit of 31716? 3 What is the thousands digit of 5307? 5 What is the hundreds digit of 1327? 3 What is the hundreds digit of 775? 7 What is the units digit of 890? 0 What is the thousands digit of 28527? 8 What is the thousands digit of 58236? 8 What is the units digit of 1495? 5 What is the hundreds digit of 753? 7 What is the thousands digit of 6946? 6 What is the hundred thousands digit of 106106? 1 What is the hundreds digit of 673? 6 What is the ten thousands digit of 19715? 1 What is the thousands digit of 9964? 9 What is the tens digit of 4267? 6 What is the hundreds digit of 1084? 0 What is the units digit of 1769? 9 What is the tens digit of 9053? 5 What is the tens digit of 8817? 1 What is the ten thousands digit of 77295? 7 What is the tens digit of 1533? 3 What is the tens digit of 2569? 6 What is the tens digit of 36869? 6 What is the units digit of 4629? 9 What is the hundreds digit of 1259? 2 What is the thousands digit of 10774? 0 What is the tens digit of 1597? 9 What is the thousands digit of 19917? 9 What is the thousands digit of 2164? 2 What is the thousands digit of 121143? 1 What is the hundreds digit of 13608? 6 What is the ten thousands digit of 19221? 1 What is the hundreds digit of 166? 1 What is the units digit of 3153? 3 What is the tens digit of 1588? 8 What is the tens digit of 56452? 5 What is the hundreds digit of 100893? 8 What is the units digit of 34919? 9 What is the thousands digit of 6549? 6 What is the units digit of 4820? 0 What is the tens digit of 8175? 7 What is the hundreds digit of 1685? 6 What is the hundreds digit of 12522? 5 What is the hundreds digit of 108144? 1 What is the units digit of 11320? 0 What is the tens digit of 192? 9 What is the units digit of 4299? 9 What is the hundreds digit of 603? 6 What is the units digit of 306? 6 What is the units digit of 86825? 5 What is the hundreds digit of 6347? 3 What is the thousands digit of 4716? 4 What is the tens digit of 18617? 1 What is the ten thousands digit of 10447? 1 What is the hundreds digit of 12177? 1 What is the units digit of 8449? 9 What is the thousands digit of 132483? 2 What is the thousands digit of 4555? 4 What is the tens digit of 42? 4 What is the units digit of 267? 7 What is the units digit of 30? 0 What is the thousands digit
{ "pile_set_name": "DM Mathematics" }
(-4) assuming l is positive. l**(-2456/315) Simplify ((n*n**(-31))**(-33)/(n**(-25)*n/(n**(-38)/n)))**(-3/32) assuming n is positive. n**(-2925/32) Simplify ((q*q**(2/15))/q**(-1))**(-15)/(((q*q/(q**0*q))/q*q)**(-1/9))**(8/5) assuming q is positive. q**(-1432/45) Simplify ((f**(-2)*(f*f**(-5))/f)/(f**18/f*(f/(f**(2/33)*f)*f)/f))**(6/7) assuming f is positive. f**(-1580/77) Simplify (w**(-7)*w*w*w*w**(-5/4)*(w/(w*((w*w*w**(1/7))/w)/w))/(w**(-3/4)/w))**26 assuming w is positive. w**(-663/7) Simplify ((w**(-20)*w*w**(-36))/(w**(2/131)*(w*w**(2/13))/w))**(-3/10) assuming w is positive. w**(281859/17030) Simplify ((c/((c**2*c*c)/c))**(18/7))**(5/19)*(c*(c/c**(-4))/c*c*c**(-2/15))/(c*c*c**(1/7)*c*c*c**(1/7)) assuming c is positive. c**(454/1995) Simplify (((j**14*j**(-16))**(-5/9))**5)**21 assuming j is positive. j**(350/3) Simplify ((f/f**(-15))/f**(-4)*(f*f*f*f**(2/3)*f)/f*f**8)**(-12/13) assuming f is positive. f**(-380/13) Simplify ((q**(1/8)*q*q)**(5/16)/((q/q**(-21))/q*q/q**(2/5)))**(-29) assuming q is positive. q**(388571/640) Simplify ((m**(-2/11))**38)**(18/11)/((m**(-1))**(-2/35)*(m*m**(-2/7))**(-3/5)) assuming m is positive. m**(-46307/4235) Simplify (z*(z/(z*(z/(z*z**(-1/2)))/z*z*z*z*z))/z)**8*z**(-2/17)/(z*z/(z/z**(-3/2)))*(z**(2/7))**13/(z**3*z*z*z/z**(-7)) assuming z is positive. z**(-8783/238) Simplify ((q*q**1)**2*(q/(((q**(1/3)/q)/q*q)/q))/q*q*q/(q**3/q))/(q**(2/11)/q**4)**(-3/8) assuming q is positive. q**(559/132) Simplify ((((((p*p*p*p**(-10/11))/p*p)/p)/(p/(p/p**(-7))*p))**(-4/29))**(-1/36))**(-38) assuming p is positive. p**(-988/957) Simplify ((x*x/(x*(x**(-1)/x)/x)*x)/x**(-1))/((x*x**(-2/5)*x*x)/x)**(-39)*((x/((x**(-1)*x)/x))**(1/58))**(-1/4) assuming x is positive. x**(39667/580) Simplify (((h**3)**(1/4)/(h**(-2/35)/(h*h*h/h**(3/5)*h)))**(-9))**(-13/2) assuming h is positive. h**(68913/280) Simplify (i*i**(6/13)*i)**(2/71)/(i/(i*i*i**(-1/38)*i)*i/(i*i**(11/8))*i) assuming i is positive. i**(339239/140296) Simplify ((z**5/z**(-1))/(z**0)**(4/27))/((z**(-1))**(-31)*(z**(-1/4))**(-6)) assuming z is positive. z**(-53/2) Simplify (i**5/i**(2/5))**9/((i*i**(-1))/i*i**(-2/5)/i*(i/(i/(i*i/(i**(-2/5)*i*i))))**(-2/41)) assuming i is positive. i**(8983/205) Simplify ((x**(-2/5)/x)/x*x*x**(1/3))**50/((x/(x**(1/2)/x))**(-1/55))**(-38) assuming x is positive. x**(-8971/165) Simplify ((o**0*o)**(-30)/(o/o**(-2)*o**4))/(o**(-2/9)/o**(3/5)*(o**(-6)*o)/o**3) assuming o is positive. o**(-1268/45) Simplify (((i*i**(-6)*i)/(i**(-7)/i))/(i*i**(-3)*i**(-1/12)/i))/(((i/i**(-6))/i)/(i**0/i)*(i**(-2/7)/i)/i**(2/19)) assuming i is positive. i**(2353/1596) Simplify (m**(3/4))**(-39)/(m**27*m/(m*m**4)*m) assuming m is positive. m**(-213/4) Simplify ((u*u**(-1/2))/(u**(2/7)*u))/((u**(1/2)*u)/(u**2*u))*(u**(1/7)*u*u*u**(-5)*u)**(1/13) assuming u is positive. u**(4/7) Simplify ((x**9*x*x**(-10))/(x*x**(-4)*x)**(2/3))**(-3/7) assuming x is positive. x**(-4/7) Simplify ((t**(-1)/t*t)/(t*t**0))**(-1/17)/(t**(-2/27)/t**6*(t*t**(-5/6))/(t*t**2*t)) assuming t is positive. t**(9203/918) Simplify (m**(2/7)*((m/m**11*m)/m*m)/m*m)**(7/4)*(m**0/m)/(m/(m/(m*m/(m**(-3/8)/m)*m*m)*m))*m**(-3)/(((m*m/((m*m**(-2/5)*m)/m))/m)/m) assuming m is positive. m**(-921/40) Simplify ((q**(-12)/q)/(q*q/q**(-5)))**42*(((q*q**(-4))/q)/(q**6*q*q))**(-3/17) assuming q is positive. q**(-14244/17) Simplify ((w*w**(3/5))**29)**(-1/28)*(w*(w*w**8/w)/w*w*(w*w**(-1))/w*w)/(((w/(w*w/(w/(w**(-2)/w)))*w)/w)/w*(w/w**(-3)*w)/w) assuming w is positive. w**(47/35) Simplify (((l**(-1/11)*l)/(l*l*l*l**(3/2)))/(l**(-2/9)/(l**(2/3)*l)))/(l**3*l**2*l**(-2/5)/(l/(l/(l/l**(1/5))*l))) assuming l is positive. l**(-6437/990) Simplify (z**(2/9)*z*(z*z**(-2/9)/z)/z*z*z)**(-6/17)/(z**(-4)*z/z**2*z**(1/4)/z*((z**(-5)/z)/z)/z) assuming z is positive. z**(887/68) Simplify ((k**(-13/5))**(-3/5)/((k*k/k**(-3/7)*k)/((k*k**20)/k*k)))**(-31) assuming k is positive. k**(-103788/175) Simplify ((q/q**(1/4)*q*q)/((q/(q**(1/3)/q))/q*q))/(q**(1/3))**(6/23)*((q*q**(-4)/q)/(q**(3/10)*q))**(7/6) assuming q is positive. q**(-1193/230) Simplify ((h*h*h*(((h*h**(-5/2))/h*h)/h*h)/h)**(1/15)/(h**(3/7)/h)**(-21/5))**(-11/8) assuming h is positive. h**(781/240) Simplify ((y**(-13/4)/y)**(2/83)/(y**(-2/29)/(y/y**(4/5))))**(4/9) assuming y is positive. y**(8018/108315) Simplify ((u*u*u**10)**(-8/5)*((u**7/u*u)/u)/(((u**(2/55)/u)/u)/u))**(-19/5) assuming u is positive. u**(10697/275) Simplify ((a**(1/5))**3*(a/((a/((a/a**(5/3))/a*a))/a))**(-23))**(-46) assuming a is positive. a**(4876/15) Simplify ((q**(2/19)/q*q*q*(q**(-5/9)/q)/q)/(q**24/((((q/(q*q/q**0))/q)/q)/q)))**(-1/15) assuming q is positive. q**(5036/2565) Simplify (((((((v/v**(-4))/v)/v)/v*v)**(9/10))**(6/19))**(-44))**46 assuming v is positive. v**(-163944/95) Simplify ((y**4)**(-9))**(-23)/(((y/(y**(-1/4)/y))/y**(2/11))/(y**(-2)/y)**37) assuming y is positive. y**(31457/44) Simplify (((z/(z/(z/(z*(z**(4/3)/z)/z*z)*z)))/(z*z**(-2/21)*z))/(z**(1/2))**(-44))/((z**(2/7))**16/(z**(-2/5)/z**(-2/5))) assuming z is positive. z**(340/21) Simplify ((((v**5)**50)**(-1/40))**(8/7))**(-2/21) assuming v is positive. v**(100/147) Simplify t**(-3)*t/((t**(-1/11)*t)/t)*t*(t**(1/2))**(-6/35)*((t/((t*t*t*t**2*t)/t)*t)/t)**(7/13)/(t**(2/3)*t**(2/5)/t) assuming t is positive. t**(-48278/15015) Simplify ((c*c**(-21)*c*c)/c**(18/5))/((c**(-6/11)*c)/c)**(-9/5) assuming c is positive. c**(-1242/55) Simplify ((b*b**(-1))**47*b**2/b**(2/17))/((b*b**1)**12*(((b/((b/(b**(3/2)/b*b*b*b))/b)*b)/b)/b*b)/b*b*b**4/b) assuming b is positive. b**(-1007/34) Simplify (((((d**(-3)/d*d*d*d)/d)/d**6)**(-8/3))**(5/13))**(-48) assuming d is positive. d**(-5120/13) Simplify ((c**(-1/3))**(-3/13))**(8/17)/((c/c**(-4)*c)/(c/c**4)*(c*c**(-1)*c*c)/((c/(c/((c/((c/(c/(c**(-5)*c)))/c))/c)))/c)) assuming c is positive. c**(-1539/221) Simplify ((z**0*z)/z)**(30/7)*z/z**1*z*z/z**(7/3)*z*(z**(-1/3))**(-29)/(z/((z/((z/(z*z**(-1/3)))/z*z*z))/z))**(-2/35) assuming z is positive. z**(157/15) Simplify (((k**(-9)/k*k*k)/k)/(k**(-1/13)*k*k)*(k/k**11)/(k*k*k*k/((k**(-19)*k)/k)*k))**(-5) assuming k is positive. k**(2920/13) Simplify ((x**(-1))**(-12)/((x*x**3)/x**(2/9)))/((x/(x/(x*x**(-1)*x)))**50*(x/(x**(-2/5)*x))**(-4/25)) assuming x is positive. x**(-46928/1125) Simplify ((j**2*j*j*j/(j/j**(1/5)))/((j**(-1/8)*j)/j*j)**(2/3))**(-9) assuming j is positive. j**(-651/20) Simplify (l**3*l**(-1/3)*l**(-8)/((l/(l/(l/(l/((l*l*l**(-3/7))/l)))))/l))/(l**1/l**(4/5))**(8/7) assuming l is positive. l**(-77/15) Simplify (y**(6/7)/y**(-5))/(y**(1/14)/y**37) assuming y is positive. y**(599/14) Simplify ((j**0)**(-46)/(j*j**(-6)*j*(j**(-2/19)*j)/j*j))/((j/(j**(-5)*j))/(j/j**5))**(-1/7) assuming j is positive. j**(584/133) Simplify ((a**(-26)/a)/((a/a**(-17)*a)/a))/(a**(-31)*a*a**41*a*a) assuming a is positive. a**(-58) Simplify (((w**5/(w*w**0/w))/(w*(w**4/w)/w*w*w*w**(5/2)))**(-27))**(-2/39) assuming w is positive. w**(-45/13) Simplify ((z**(-6)/z*z/z**(-3)*z)/((z**(-3)/z)/((z/(z*z**1))/z)))/(z**3*z*z/z**(1/6)*z)**(-14) assuming z is positive. z**(245/3) Simplify ((d**(-4)/(d**(-2)*d)*(d*d**(1/9))/d**(-4/3))**(-21))**(9/2) assuming d is positive. d**(105/2) Simplify (((o**(-5)*o*o*o*o**(-1/4))**(-43))**(3/19))**2 assuming o is positive. o**(1161/38) Simplify (((g/(g**(-1)/g))/g)**(3/4))**(-9/5)*(g**(2/7)*g**(2/5)/g)/(g**5/g**(-7)) assuming g is positive. g**(-1051/70) Simplify (n**(2/11)*n*n**(2/35)*n)**(1/5)/((n*n**(-4/5)*n*n*n/(n/(n**(-3)*n)))/(n/(n*n**0))**(-14/3)) assuming n is positive. n**(477/1925) Simplify (((b**6/(b*b/(b**(-2/17)/b)*b*b))/(b**(-5)*b**1/b))**46)**(-1/11) assuming b is positive. b**(-4600/187) Simplify (((o*o**(-9/7))/o**43)/(o**(-37)*(o*o**(-2/7)*o*o)/o))**43 assuming o is positive. o**(-344) Simplify ((f**(4/5)/f)/f*f*f*f**(-2/9)*(f**(2/3))**(-24))/((f/(f*f**2*f))**(1/22)*f**(-1/3)*f**(-7)) assuming f is positive. f**(-7873/990) Simplify ((d*d**(-18)*d)**36*d*d*d*d**(8/5)*d*d*d**(15/8))**39 assuming d is positive. d**(-885339/40) Simplify (a*a/a**(2/75))**(5/7)/((a/(a/(a**(-23)/a)))/a)**35 assuming a is positive. a**(92023/105) Simplify ((m/((m**(-1/5)*m)/m))/(m*m/((m/m**(-1/3))/m*m)))/(m*m**(3/7)*m/m**(3/4))*((m*m**(-1/3))**(-32))**(-6/5) assuming m is positive. m**(10271/420) Simplify (x**(1/4)/x**(-2))**(-49)/((x*x**(-1/
{ "pile_set_name": "DM Mathematics" }
= w*c + u, 0 = 4*c - 2*u + 15 - 69. Let h be (-2)/(-2 + 1)*2. What is the highest common factor of h and c? 4 Suppose 0*d + 2*d - 18 = -4*q, -2*d + 63 = -5*q. What is the greatest common factor of 57 and d? 19 Suppose 5*c = -5*f + 75, -2*f + 5*c = 3*c - 34. Let n be 16/3*(19 - f). What is the highest common divisor of 48 and n? 16 Let k = -6 - -14. Let c = 0 + k. Let t = 24 + c. Calculate the highest common factor of 8 and t. 8 Let i be ((-144)/84)/((-1)/28). Let g = i - -36. What is the highest common divisor of g and 12? 12 Let d be -15 - -6 - -7 - -3. What is the greatest common factor of d and 10? 1 Suppose -u + 11 - 1 = 0. Let t(n) = -10*n**2 + 4*n + 8 + 11*n**2 - 3. Let q be t(-9). What is the highest common factor of q and u? 10 Let m(p) = -194*p**3 - 3*p**2 - 3*p + 1. Let z be m(-1). What is the greatest common divisor of 30 and z? 15 Suppose 23*j = 20*j + 9. Let h be 33 - (-3 + 2 - -1). What is the greatest common divisor of h and j? 3 Let m = 1302 - 1090. What is the greatest common divisor of 53 and m? 53 Let g(z) = -2*z**2 - 26*z + 3. Let r be g(-12). Let p be (4 - r/6)*(-90 + 0). What is the greatest common divisor of 225 and p? 45 Let d be (44/(-20))/((-10)/250). Calculate the greatest common divisor of 143 and d. 11 Let d(m) = 3*m + 138. Let t be d(-24). Calculate the greatest common divisor of t and 24. 6 Suppose 3*s - 35 = 2*l, -37 = -3*s + 2*l + 2*l. Suppose s + 15 = 5*r - 4*h, 5*r = -2*h + 32. Calculate the greatest common factor of r and 24. 6 Suppose 34*r = 35*r - 4. Suppose -r*l = 20, 2*j + l = -2*j + 43. Let a be (0 - 12)*2/(-4). Calculate the highest common factor of a and j. 6 Suppose 0*o = -o + 280. What is the greatest common divisor of 200 and o? 40 Let i(v) = -2*v**3 + 16*v**2 + 5*v + 8. Let f be i(8). Let u be 5 - 0 - 1*2. Suppose 0 = -u*g - 2*g + 30. Calculate the greatest common divisor of g and f. 6 Let u be (55 - (6 - 3))/1. Let s(c) = -c**2 + 10*c + 13. Let r be s(10). Calculate the highest common factor of r and u. 13 Let n(i) = 6*i + 55. Let m be n(-10). Let t(d) = -d**2 - 4*d + 6. Let b be t(m). What is the highest common divisor of 4 and b? 1 Let a = 410 + -387. What is the greatest common factor of 69 and a? 23 Suppose -m + 15 = -2*d, -9*m + 6*m = 3*d. Suppose 0 = 5*b - 10*w + m*w - 2505, -w = 3*b - 1515. Calculate the highest common divisor of b and 63. 63 Let a = -16 - -316. Calculate the highest common factor of 48 and a. 12 Suppose 12 = 8*m - 5*m. Suppose -z - 8 = -5*z + m*w, 5*w - 11 = -2*z. What is the highest common factor of 15 and z? 3 Let b(p) = 11*p + 9*p + 12*p + 12 - 8*p. Let a be b(4). Let u(l) = -6*l. Let t be u(-2). What is the greatest common factor of a and t? 12 Suppose 0 = 402*c - 382*c - 12980. What is the greatest common divisor of 59 and c? 59 Let o(h) = 3*h**2 + 54*h + 21. Let n be o(-25). What is the greatest common divisor of 104 and n? 26 Suppose -4*o + 2*h - 6*h - 792 = 0, 4*h + 591 = -3*o. Let s = o - -371. Let c be 248/16 - (-15)/(-20)*-2. What is the highest common factor of s and c? 17 Let n(l) = l. Let c be n(3). Suppose 5*u + 60 + 49 = g, u + c*g + 25 = 0. Let q = u + 33. Calculate the greatest common divisor of 11 and q. 11 Suppose 5*q = -253 + 358. Calculate the highest common divisor of q and 84. 21 Suppose -x - 4 = -4*j, 0 = 3*x - x - 3*j - 17. Let w = 10 + -6. What is the greatest common factor of x and w? 4 Let o = -1371 + 1515. What is the highest common factor of 252 and o? 36 Let c(k) = 2*k**2 + 70*k - 59. Let o be c(-40). What is the highest common factor of o and 31? 31 Let w = 93 - 61. Suppose -6*t + 7*t = w. Calculate the highest common factor of 80 and t. 16 Let f(m) = -4*m**2 + 44*m - 15. Let z be f(9). Calculate the highest common divisor of 24 and z. 3 Let k(h) = 5*h - 5. Let d be k(5). What is the greatest common factor of d and 430? 10 Let v be (-30)/(-6) - 0 - 1. Let x be -3 - -4 - -1 - -20. Calculate the highest common divisor of x and v. 2 Let y = 389 + -357. What is the highest common factor of y and 14? 2 Let g be (0 - 15/(-6))*12/15. Let y be ((-11)/g)/(-11)*6. What is the highest common divisor of y and 4? 1 Let w = -22 - -44. Let a = -59 + 114. What is the highest common factor of w and a? 11 Let i(k) = -11*k - 43. Let h be i(-9). What is the highest common factor of 56 and h? 56 Let j = -71 - -176. Let z = j + -85. Calculate the highest common factor of z and 20. 20 Let i(o) = 3*o**2 - 6*o - 9. Suppose q = -q + 14. Let v be i(q). Suppose -p - v = -5*p. What is the highest common factor of 24 and p? 24 Suppose -5*p = -7*p + 24. Suppose 2*t = -2*n - 2*n, n + t = 0. Suppose 12 + n = 2*i. What is the highest common factor of p and i? 6 Let i be 5 + 5 + (2 + 1)*-1. Calculate the highest common divisor of i and 4. 1 Suppose -2*l = n - 1 - 16, l - 4*n = 31. Suppose -28 = -l*i + 7*i. What is the greatest common factor of i and 63? 7 Let t be 0 + -7 - (-16 + 16). Let o be t + 376/56 + (-16)/(-7). What is the highest common divisor of o and 18? 2 Let y be ((-4)/(-3))/(8/12). Suppose y*t + 17 = -1. Let m = 21 + t. What is the highest common factor of 60 and m? 12 Let a(m) = -4 - m**2 - 4 + 0 + 0 + 9*m. Let h be a(7). Calculate the greatest common factor of h and 4. 2 Suppose 3*w = -o - 10, 0 = 2*o - 6*o + 2*w + 16. Let f be (-2)/(o - 4)*(18 + 6). What is the highest common divisor of f and 168? 24 Suppose 0 = 8*v - 133 - 571. Let f = -17 + 33. Suppose 2*y + 0*y - f = 0. What is the greatest common factor of v and y? 8 Let h = -417 + 609. Suppose 3*w = -9*w + h. Suppose 2*c = 12 + 84. What is the highest common divisor of w and c? 16 Suppose -110 = -8*q + 34. Let s = 26 - q. What is the highest common divisor of 168 and s? 8 Let a(o) = -10*o - 187. Let n be a(-25). Calculate the greatest common divisor of 119 and n. 7 Let o(k) = -18*k - 1. Let c be o(-1). Let n(w) = -w + 34. Let g be n(-17). What is the highest common factor of g and c? 17 Suppose 0 = 4*c + 3*b - 873 + 105, -b + 571 = 3*c. Let g(d) = -4*d - 6 - 5 + 0. Let v be g(-8). Calculate the greatest common divisor of c and v. 21 Suppose -l + 2*l = 2. Suppose -3*n - 6*x = -3*x - 51, 0 = 3*n - 4*x - 16. What is the highest common divisor of n and l? 2 Suppose 0 = -12*u + 9*u + 5*m + 2968, -3*u - 3*m + 2928 = 0. Calculate the greatest common divisor of 9 and u. 9 Let f = 77 + -2. Suppose 71*k = f*k - 108. What is the highest common factor of 18 and k? 9 Let p(u) = -2*u - 3 - u + 4*u. Let d be p(3). Suppose -a = -d*a - 46. Calculate the highest common factor of a and 69. 23 Let n(b) be the first derivative of b**4/2 - 8*b**3/3 + 2*b**2 + 7. Let l be n(5). What is the highest common factor of l and 28? 14 Let w = 373 + -186. Let h(d) = 57*d - 5. Let k be h(3). Let q be (-6)/(-15) + k/10. Calculate the highest common divisor of w and q. 17 Let p(d) = d + 13. Let r be p(0). Let a(b) = b**3 - 14*b**2 + 15*b - 13. Let x be a(r). Let v = 35 + 4. What is the highest common divisor of x and v? 13 Suppose 5*i = 5*r - 265, 2*r + 5*i - 35 = r. Let m(v) = -v**2 + 16*v - 8. Let d be m(16). Let c = 2 - d. What is the greatest common factor of r and c? 10 Let f(x) = 25 + 2*x - 56 + 76 - 11*x. Let s be f(-8). Calculate the highest common factor of s and 9. 9 Suppose -600 = 23*m - 83*m. Let y be ((-32)/(-12))/(1/108). Suppose -y = -4*h + 152. Calculate the highest common divisor of m and h. 10 Suppose -5*d - 11 = -6. Let v be 2 - (-34 - 5) - d. Calculate the highest common factor of 147 and v. 21 Let r(u) be the second derivative of u**4/12 + 5*u**3/6 + u**2 - 6*u. Let l be r(-4). Let t be (l - 4)*(-52)/6. Calculate the highest common factor of t and 13. 13 Let o be (-6)/(-27) - (-518)/18. Calculate the highest common divisor of 203 and o. 29 Let w = 3 - -5. Let k = 10 - 5. Suppose 0 = -k*f + z + 158, z + z = 2*f - 60. Calculate the highest common divisor of w and f. 8 Suppose -5*x + 47 = 3*s + 13, -x = -2*s + 1. Suppose 0*m + 2*m - 164 = x*q, -3*m + 232 = -4*q. Calculate the highest common divisor of 8 and m. 8 Suppose -5*n = -2*x - 5 + 1, -x = -2*n + 1. Let f = -7 + x. Let z(r) = -r**3 + r**2 - 3*r - 4. Let v be z(f). Calculate the greatest common factor of v and 11. 11 Let i(u) = 29*u + 3. Let v be i(3). Let f = -30 + v. What is the greatest common factor of f and 45? 15 Let t = -33 + 39. Suppose 0 = q - 6 - t.
{ "pile_set_name": "DM Mathematics" }
t g be u(-4). Is 2661/g*(-14)/(-21) a composite number? False Let r(c) = 6476*c + 5683. Is r(18) composite? False Suppose 0 + 7 = -x - 5*u, 0 = -x + u - 13. Let k be (-3)/((-9)/x)*10/(-4). Let y(r) = 24*r - 19. Is y(k) a prime number? False Suppose -12422*h = -12431*h + 479187. Is h a prime number? False Is 20352678/(-310)*(-10)/6 prime? True Let y = 33862 - 21747. Suppose -3*s - n = -y, s - n = n + 4029. Is s a prime number? False Let h(a) = 376*a**2 + 126*a - 1. Is h(6) prime? False Suppose y + 28 = 5*w, -29*w + 31*w - 1 = -3*y. Suppose 5*f - 26225 = 4*z - 3*z, 15735 = 3*f + w*z. Is f composite? True Suppose 4*f + 31 - 23 = 0. Is ((-3)/(30/895))/(f/236) a composite number? True Let l be 2/(-4) - 1/(-2). Let m(k) = 136 + 2*k**2 + 86 + k - 4*k**2 + 40 - k**3. Is m(l) a prime number? False Suppose -6*p - 21*p + 16619226 = 51*p. Is p a prime number? True Let z(y) = 10179*y + 2440. Is z(9) a prime number? False Suppose 0 = -5*d - 20, -4*d - 293301 = -140*y + 135*y. Is y prime? True Let d(m) = 20*m**2 - 13*m + 62. Let w(i) = -18*i**2 + 11*i - 59. Let n(f) = -5*d(f) - 6*w(f). Let c = -19 + 6. Is n(c) composite? False Suppose -12*f = 11 - 35. Suppose 0 = 11*r - 15*r + d + 2758, 2*d = -f*r + 1374. Is r composite? True Is (1 + 17)/3*9768009/774 a composite number? False Let w(y) = 95*y + 20*y**2 + 3*y**3 - 56*y - 35 - y**3 + 0*y**2. Is w(16) a prime number? True Is (-2 - -1)*(-51)/170*-10 + 140156 a prime number? False Suppose 2*t + 33 = 13*t. Suppose 0 = 4*f + t*f - 31913. Is f a composite number? True Let u(b) = -1812*b - 359. Is u(-3) prime? True Suppose 0 = -20*d + 29*d + 216. Let b(f) = f**3 + 30*f**2 + 49*f - 59. Is b(d) a composite number? False Let x = -81 - -131. Let j = -42 + x. Suppose j*i - 2580 = 2756. Is i a prime number? False Is (4 - 2)/(-16*(-12)/44793888) a composite number? False Let y(w) = 434169*w**2 - 126*w + 277. Is y(2) prime? True Let q = 350635 + 25030. Is q composite? True Let i = -358427 + 696244. Is i a prime number? True Let u be (15 - 33)/(1/(-22)). Let z = u - 231. Suppose -161*c - 29924 = -z*c. Is c a composite number? False Let r(w) = w**3 + 3*w**2 + 5*w - 7. Let b = -67 - -114. Let u = b - 37. Is r(u) prime? False Suppose 0 = 41*n - 741289 - 3319392. Is n composite? False Suppose -46*a = -169*a + 2113815 + 26887494. Is a prime? True Suppose 6 = 2*l, 4*c + 5*l - 25 = 3*c. Let b(f) = 116*f - 19. Let w(p) = -p. Let u(d) = b(d) - w(d). Is u(c) prime? True Let c = 846 - -2542. Suppose 0 = -7*u - 245 + c. Is u prime? True Let x(z) = -z**2 - 21*z - 43. Let p(n) = 3*n**2 - 26*n - 42. Let i(g) = 5*p(g) - 6*x(g). Suppose 4*b = 5*h + 38, 8 = -5*b - 4*h + 35. Is i(b) prime? True Let g be -3 + (4 - -37)*2. Suppose -33 = -v - 3*h, -g = -3*v - 0*v + h. Is 4/18 - (-12576)/v a composite number? True Let c = 467 - 462. Suppose 5*q = 3*x + 30853, 30845 = 3*q + 2*q - c*x. Is q a prime number? True Suppose -3*i + 3 + 12 = 0. Suppose -15 = 4*r + 5, -2*d = -i*r + 3303. Let h = 2746 + d. Is h composite? True Suppose s = 3430 + 2459. Let n(u) = u**3 + 3*u**2 - 5*u + 2. Let x be n(2). Suppose 3051 + s = x*v. Is v a prime number? False Let i(d) = 3*d**2 - 1. Let p(k) = -k**3 + 5*k**2 - 3*k - 5. Let w be p(3). Suppose w*a + 41 = 73. Is i(a) a composite number? False Suppose -2*c - a + 6 = 0, -c + 1 = -4*c + a. Suppose p + 2217 = 46*s - 48*s, -3*s + 3*p = 3348. Is 1 + c + (-10 - s) a prime number? True Suppose -13*z = -17*z + 2*u - 10756442, 10756427 = -4*z - u. Is z/(-266) - (-6)/(-14) composite? True Let b = -309 - -314. Suppose 0 = o - 3, -8*l + b*l = 4*o - 5715. Is l composite? False Let s be 56/6 + 6/9. Let q(r) = 6*r + 16*r**2 + 18*r**2 + 19 - 35*r**2 + r**3. Is q(s) a prime number? False Let d(h) = 1720*h**2 - 8*h + 1. Let u be d(-1). Suppose -32*c + u = -11487. Is c composite? True Let v be (6 + -392 + 4)/((-1)/(-4)). Is (-2*1)/(7648/v + 5) composite? True Suppose -4*v - j + 0*j - 69 = 0, -4*v - 79 = 3*j. Let f = v + 14. Is f*((-3)/9)/((-4)/(-8538)) composite? False Let l be 23067522/(-42) + (210/(-49) - -4). Is (l/(-49) - 12) + 4/14 a composite number? False Suppose 19*w + 2496260 = 32*w. Suppose -w = -776*c + 766*c. Is c prime? False Let b = -406 - -408. Suppose -b*z + 17*z = 57945. Is z a composite number? False Suppose -5*a + 49510 = 5*c, 0 = 2*c - 28*a + 31*a - 19805. Is c composite? False Suppose -w = -8 - 2. Suppose w*d + 4864 - 19674 = 0. Is d a composite number? False Let s(m) = -69*m**2 + 7*m - 9. Let l be s(4). Let x = l + 6754. Is x prime? True Suppose -4*x = 5*q - 121, 0 = 3*q - 0*q + 2*x - 73. Suppose -4*k + 75 = -q. Suppose 0 = -k*l + 27*l - 502. Is l composite? False Let d(k) = 4824*k**2 + 3*k - 32. Is d(3) prime? False Let v = -5817 - -9079. Suppose -3*b + 4821 = -3*n, -b - 4*n + 3202 = b. Let d = v - b. Is d a composite number? False Suppose -342*l + 340*l = 5*f - 24670, -5*l = -2*f - 61675. Is l a composite number? True Let o = -547 - -153. Let n = 193 - o. Is n a prime number? True Let c = 3787972 - 1620605. Is c composite? False Let j(q) = -q**3 + 2*q**2 + 2*q - 4. Let x be j(2). Suppose 3*v - 9 - 3 = x. Is (-504 + v + 2)*1/(-2) prime? False Suppose s + s - 22 = f, 0 = f + 4*s + 52. Let a = f + 34. Suppose -4*w + 838 = a*q, 2*q = w + 1034 - 221. Is q prime? True Is ((-1)/4)/((-6)/4317528) a composite number? False Let k = 218 - -38. Suppose 5*t - 39 + 4 = 0. Is (-1)/((-1)/k) + (10 - t) composite? True Let f be (32/72)/((-12)/(-54)). Suppose -2*t + w + 0*w + 1824 = 0, 0 = 5*t + f*w - 4578. Is t prime? False Suppose 5*n = 4*f - 4, -5*n + 2*f - 12 = -0*n. Let b be (5 - 17)/((-9)/(-12)). Is (-1277)/n - (-4)/b a composite number? True Suppose 46*o = 50*o - 12092. Suppose -447 = -5*k + o. Is (35/(-14))/((-1)/k) composite? True Is 51412 + 1*(-12)/(132/55) composite? False Suppose -t - 3*p = t - 2110, 0 = 3*t - p - 3165. Is 4/(4/t) - -2 a composite number? True Is (-24)/(-396) + (-12)/(-792)*7261118 a composite number? False Suppose -9*l - 6*l = -15855. Suppose 2*b - b - 4*p = 259, -5*p + l = 4*b. Is b composite? False Let l(r) = -r**3 + 2*r**2 + r - 7. Let t be l(-2). Suppose t*q = 14*q - 11837. Is q prime? False Suppose 0 = 2*g + 3*g - 4*j - 46617, -3*j + 27981 = 3*g. Let d = 6489 - g. Let r = -1793 - d. Is r a prime number? False Suppose a - 6442 = v - 2*v, -3*a + 19328 = v. Let z = a + -3810. Is z composite? False Let m = -8294 + 21183. Is m composite? False Let q(h) = 35*h + 22. Let b be q(12). Suppose -b = -4*z + 10090. Is z a prime number? True Let x = 145 + -38. Suppose -315 - x = -2*m. Is m a composite number? False Let f(j) = -9*j + 4. Let z be f(4). Let n = z - -31. Is -27*(-6 + n) + -2 prime? False Let l(y) = y**3 + 21*y**2 + 20*y + 5. Let u be l(-20). Suppose u*n - 18*n + 26 = 0. Is 1306 + -19 - n*1 a composite number? True Let t(k) = k**3 - 3*k**2 - 3*k - 4. Let u be t(4). Suppose -5*b + 32911 = -h + 2*h, u = 2*b - 5*h - 13186. Is b composite? True Let o(n) = 14*n**2 - 22*n - 32. Let p be o(-7). Let v = p + -71. Is v a prime number? False Let y be (20/8)/(2/4). Let v = -383 + 556. Suppose -193 - v = -2*l + 2*t, t + 899 = y*l. Is l composite? False Let f(w) = 135*w**2 + 33*w - 29. Is f(5) a prime number? True Suppose 2*v - 18600 = -2*v. Suppose 45*g = -c + 43*g - 2699, -2*g = 2*c + 5400. Let l = c + v. Is l prime? True Suppose 0 = -2*c + 1291 + 1033. Let d = -766 + c. Suppose 2*v = z + 1078, -v = z - 149 - d. Is v a prime number? True Suppose -2*w = 8, -13*q + 796194 = -11*q + 2*w. Is q composite? True Suppose 0 = -126*b + 119*b + 14. Let w = 1820 + -1002. Suppose -b*x + w = -0*x. Is x prime? True Suppose 29*n - 84*n + 6374178 = -37*n. Is n a prime number? True Let y(h) = 40*h - 542. Let d be y(13). Let b(n) = -166*n + 41*n - 25 - 20. Is b(d) a composite number? True Suppose 2*h = -4*l + 2137674, -120473 + 1189283 = 2*l + 4*h. Is l a prime number? False Suppose 15 = 8*v + 7*v. Is (((-16)/(-24))/v)/(4/22566) a composite number? False Let d(z) = 243*z**3 - 12*z**2 + 6*z + 6. Let n be d(8). Suppose 140*k - 146*k = -n. Is k a composite number? True Let o(f) = 16360*f - 15891. Is o(11) prime? False Let m = 14821 + -7917. Let d = m + 2243. Is d prime? False Let c be (24/10)/((-1)/(-235)). Suppose 0 = -5*n - 25, -4*t + c = -n - 3*n. Suppose -3545 = -9*q + t. Is q composite? False Let q(i) = 278*i**2 - 3*i - 418. I
{ "pile_set_name": "DM Mathematics" }
w - 40. Suppose 4*b + w = 4*j + 3*b, 0 = 5*j - 5*b - 65. Solve -4*a + j = 3*f, 6 = 2*a + 3*f - f for a. 0 Let w = 5 + -2. Suppose 2*u + w*u - 20 = 0. Suppose 3*d + 5 = -5*v, 2*d + v - u = 5*v. Solve d - 20 = 5*z, 5*z + 23 = h for h. 3 Let r = 489 + -479. Solve -3*y = 2*v - 10, -v = v - 5*y - r for v. 5 Let i(t) = 28*t**2 + t + 1. Let c be i(-1). Suppose 3*x - c = -10. Solve 2*b - 12 = -5*k, -3*b - 2 = k + x for k. 4 Let v = -12 + 17. Suppose -346 = -24*h - 149*h. Solve -h*s + 0*f = -f - 4, -2*s - v*f + 4 = 0 for s. 2 Let u(h) = h**3 - 11*h**2 + h - 11. Let l be u(11). Let k be (4 - 1 - 2)*l. Solve z + 3*m - 11 = 0, -2*z - m = -k*z - 12 for z. 5 Suppose 3*a + 1 = -k + 2, 0 = 3*a + 5*k + 7. Let d be (6 + -3 - 5)/(a*-1). Solve p - 2*x + 5*x = d, 2*p - 9 = -x for p. 5 Let s be (-9)/(-4) + (-9)/36. Let k be (-32)/s*(-99)/36. Suppose -4*r + 48 + k = 0. Solve -4*u - 4*q + r = -q, -2*q = -5*u for u. 2 Let d = 10 + -7. Let x(q) be the third derivative of 7*q**4/24 + 2*q**3/3 - 3*q**2. Let z be x(3). Solve i - 2*h + 10 = -d*h, z = -5*h for i. -5 Let z = 126 - 124. Solve -a + g - 5 = z*g, -2*a + 5*g = -25 for a. 0 Let r be ((-3)/(-4))/(51/136). Let z be (-3 + 5)/(2*1/r). Solve -3*g + 3*s - 4*s = -13, z*g - 4*s - 4 = 0 for g. 4 Suppose 101 = 31*d + 8. Solve -2*g - 3 = -d*g, -5 = 4*y - 3*g for y. 1 Let d(u) = 5*u**2 + u**3 - 3*u**2 + 9*u**2 + 32 - 46 + 6*u. Let b be d(-10). Suppose 4*x - b = -6. Solve -5*a + 7 + 3 = 5*m, 0 = x*a for m. 2 Suppose -5*o + 2*o = -24. Suppose 3*m + 25 = o*m. Suppose 0 = 5*q - m, 2*q + 11 = -4*x + 45. Solve -3*t = -4*v + 6, x*t + 10 = 4*v + 3*t for v. 0 Suppose -26*a + 19*a + 63 = 0. Solve -3*o - 3*f = a, -3*o + 2*f = o + 18 for o. -4 Suppose 0 = 103*a - 101*a - 28. Let u be ((-192)/(-42) + -5)/((-2)/a). Solve 0 = -2*l + u*l - t, 5*l + t = -30 for l. -5 Suppose -2*l + 10 = -3*p, 4*l - 20 = -106*p + 103*p. Solve 2*f - 5*y + 7*y - 14 = p, -5*y + 20 = 0 for f. 3 Let r(t) = 2*t**2 + 8*t + 15. Let q(m) = -2*m**2 - 7*m - 14. Let h(s) = 2*q(s) + 3*r(s). Let g be h(-2). Solve a + 4*a - i = -9, g*i + 5 = 0 for a. -2 Let h be (-258)/21 - (-6)/21. Let q = h - -15. Suppose q*s + 4*r = -8, 2*r - 2 + 0 = -3*s. Solve 3*k - 12 = 3*y, s*y = 4*k + y - 16 for k. 4 Suppose 8*g + 27 = 51. Solve -g*o = 4*f + 20, 2*f + 12 = -2*o - 0*o for f. -2 Let f = 33 - 20. Suppose 2*z - 5*z = -2*c - f, 4*z - 4*c - 20 = 0. Let y(p) = 4*p - 2. Let v be y(z). Solve -15 = 5*r - 10*r + 3*d, -v = -2*r + 2*d for r. 0 Let k be (-2)/8 - (-495)/220. Solve 15 = -3*y, k*x + y + 0*y = -13 for x. -4 Let l = -26 - -40. Suppose -5*v - m = -48, l = v - 5*m - 6. Suppose -2*c - 3*b = -5*c + 3, b - 7 = -c. Solve -5*w + 5*p + v = 0, 6*w + 2*p + c = 3*w for w. 0 Let x(w) = -9*w - 4. Let h be x(2). Let r = h + 36. Solve 5*f - 19 = -2*s + 3*s, 2*s + 3*f = r for s. 1 Let f be (-33)/(-22) + (-2)/(-4). Solve -3*k - 8 = -f*l + 6*l, -5*l - 10 = 0 for k. 0 Suppose 5*v - 9*v = -100. Suppose 4 = -2*f + 4*n + 24, -5*n - v = 0. Solve -2*y + 5*b + 20 = f, 3*y - b - 7 = -3 for y. 0 Suppose f + 24 = -8*p + 4*p, 0 = -f - 2*p - 14. Let k be (-484)/(-110) + f/10. Solve 3*w = -k*l - 19, w + 2*l - 8 = 3*w for w. -5 Suppose 7*x - 986 + 930 = 0. Solve 0*p - 5*c + 15 = -5*p, 0 = 4*c + x for p. -5 Let p be 3 - 2 - (-4)/1. Suppose 7*o = 2*o + p. Suppose 5 = 3*k - n + o, -2*n = -3*k - 1. Solve -4*g = -t - 5, -g - 5*t + t = k for g. 1 Suppose 2*d = 2*g - 34, -2*d - 37 = -0*d - g. Let y = d + 22. Let s = -1 - -4. Solve 0 = 4*h - y*h + 4*u + 2, -h - 3*u - s = 0 for h. 3 Let j(l) = -l**2 + l + 24. Let r be j(-4). Solve 2*u - o - 2 + 10 = 0, -24 = r*u - 4*o for u. -2 Suppose -8*n + 12*n = 4. Let u = 14 - n. Solve s - 4 = -5*p + 3, 4*s + 5*p - u = 0 for s. 2 Let j(u) = -21*u**3 + u. Let r be j(-1). Suppose -5 = 3*w - r. Let o(c) = -c + 8. Let q be o(6). Solve -2*t + q*g = 12, -w*t - 20 = -g - 2*g for t. -1 Suppose 0*n = 4*n. Suppose n = -d + 2 - 6. Let i be (d/(-3))/((-8)/(-12)). Solve -2 = -i*m + h + 3, 2*h = -5*m - 1 for m. 1 Let m be ((-40)/12)/((-1)/3). Let v(u) = -u + 13. Let y be v(m). Solve y*i - 17 = -5*a, 4*a + 3*i = -0*i + 13 for a. 4 Suppose 0 = 11*v + 4*v - 30. Solve -2*p = -v*b + 2 + 4, -3*b - 4*p = 5 for b. 1 Suppose -24*z + 57 = 9. Solve 10 = 5*s + x - 19, -z*s = 2*x - 18 for s. 5 Suppose -32*g + 72 = -14*g. Solve 0 = -g*a + 3*a, -3*c + 2*a - 6 = 0 for c. -2 Suppose -5*a + 0*n + 29 = 2*n, -3*a + 13 = -n. Solve -a*o - 10 = 0, -d - 12 = -3*o + 8*o for d. -2 Suppose -5*k + 5*d = 0, 5*k + 5*d - 4*d = 30. Solve -18 = -5*j - 3, 3*j - 34 = k*w for w. -5 Let l = -123 + 125. Solve -10*q - l*r - 16 = -12*q, 4*r = -q - 7 for q. 5 Let i(t) be the first derivative of t**3/3 + 5*t**2 + 13*t - 15. Let q be i(-9). Solve -q*g = -0*g + u + 17, 0 = -4*g + u - 15 for g. -4 Let n be ((-6)/(-10) + 0)/((-183)/(-1525)). Solve 2*t + 0*t - 26 = -4*i, n*t = -2*i + 33 for i. 4 Let y(b) be the first derivative of b**3/3 - 3*b**2 + 10*b + 11. Let w be y(5). Solve 4*q + v - w = 0, -q + v + 0*v = 5 for q. 0 Let i = -189 + 192. Solve 2*m = 3*v + i, 3 = -3*v + 4*m - 6 for v. 1 Let l(v) = 2*v**2 + 11*v - 16. Let t be l(-7). Solve 4*u + 5 = t*c, 6*u = 2*u + 3*c + 5 for u. 5 Let y(u) = -u**2 + 5*u - 4. Let j be y(4). Suppose j*z - z = -16. Solve -5*k = 4*b - 15, -2*k = -3*b - k + z for b. 5 Let j be 5 + -1 + 8 + -7. Suppose -j*h - 2 - 8 = 0. Let c be (-8 - -41)/((-3)/h). Solve 0 = -d + 4*n - 4, -3*d - 5*n = -0*n - c for d. 4 Suppose 0 = -11*u + 9*u - 4*y + 20, 0 = 2*u - 4*y + 4. Solve u + 29 = -5*h - 4*d, -27 = 5*h + d for h. -5 Let r be (18/(-5) + 3)*30/(-9). Solve -16 = 3*n - 2*m, n = -3*n - 2*m + r for n. -2 Suppose -u + 30 = -2. Let n be 56/u - (-2)/8. Suppose -n*b = -5*b + 18. Solve 20 = 2*l + 4*y, -3*y = -3*l - b*y + 21 for l. 4 Let f(h) be the third derivative of h**6/120 - 2*h**5/15 + 5*h**4/24 + 8*h**3/3 + 2*h**2. Let z be f(7). Solve -3*o = -4*j + z*o + 27, -o = j for j. 3 Let x be (18/10)/((-18)/(-60)). Let m(b) be the second derivative of b**3/3 - 3*b**2/2 - 5*b. Let g be m(x). Solve -g = 9*k - 4*k + 2*s, 3*k = -2*s - 7 for k. -1 Let g = 93 - 89. Solve 10 = 5*u - 3*s, u = -u - g*s + 4 for u. 2 Let n = -20 + 26. Suppose n*w = 2*w + 32. Let a be w*1*(-1)/(-4). Solve -a*o - 2*o - 28 = -5*q, -4*q + 5*o + 26 = 0 for q. 4 Let l(c) = -c**2 + c + 10. Let k be l(3). Suppose -2*r + 27 = 5*b, -k*r + 21 = 3*b + 2. Solve 0 = -4*t + 5*t + 1, -9 = -4*w + b*t for w. 1 Let y be (98/7 + 1)*(-1)/(-3). Solve -22 = y*q + 4*k + 9, q = -4*k - 19 for q. -3 Suppose 9*n = 5*n - 220. Let a = n - -65. Solve -2*u - 4*i + a = 0, -5*u - 5*i = -3*i + 15 for u. -5 Suppose 4*h = 12*h. Suppose -x - 10 = -4*b, 3*x - b - 3 = -h. Solve 3*p + 8*f - 3*f = -16, -10 = 3*p + x*f for p. -2 Let y(x) = -4*x - 3*x**3 + 18 + 2*x**3 - 11*x - 17*x**2. Let l = -62 + 46. Let w be y(l). Solve 5*h - 5*v = 10, w*h + 2*v - 5 = h for h. 3 Suppose -5*g = -2*p + 5*p - 20, -4*p - 4 = -g. Suppose y + 0*y - 4 = p. Let l(t) = -t**2 - t + 5. Let k be l(0). Solve 21 = y*c - k*n, c - 5 = -c - 3*n for c. 4 Let y(n) = -58*n - 3. Let k be y(-1). Let u be (-4)/(-10) + 88/k. Let x(m) = 3*m**2 + 7*m + 6. Let v be x(-4). Solve -2*p - 4 = -u*o, -o = 3*p + 4*o - v for p. 2 Let a = 12 + 48. Let k be (1/3)/(5/a). Suppose 2*o = k*q - 14, -2*q = 3*o - 0 + 5. Solve x - 2*d = 2*x + 7, -4*x - 4 = q*d for x. 1 Let c = 47 + -43. Suppose -3*x - c*u + 25 = 0, 2*u - 3*u = 3*x - 40. Solve -v = 5*t - x, t - v - 3 = 3*v for t. 3 Suppose -190 = 5*h - 65. Let f = 30 + h. Solve -15 = 5*g + l, -l + 22 = -g - f*l for g. -2 Let t be 1/(2/8) + -3. Let j(f) = 2*f. Let d be j(t). Suppose h - 15 = -d*h. Solve -2*a = 4*x - 2*x + 2, -5*x + h = 0 for a. -2 Let m(h) = h**3 - 44*h**2 + h - 40. Let q be m(44). Solve -5*c + 11 = q*g - g, 1 = 3*g - 5*c for g. 2 Let s = -83 + 88. Let o(q) = -4*q. Let y be o(-1). Suppose y*c - 173 = -33. Solve s = h, h = 5*k - h + c for k. -5 Let b(n) = -24*n - 141. Let u be b(-6). Solve -4*j - 5*q - 3 = 0, j + 4*q + u = -2*j for j. 3 Let g = -9 - -17. Let l(c) = -2*c + 18. Let k(t) = -t - 1. Let p(b) = -k(b) + l(b). Let u be p(15). Solve 0 = -u*z - g, -2*r - 4*z = -6*r - 8 for r. -4 Let x be 4/(-3 + -1)*-3. Solve c - 4*k = -6, 6*c + x = 2*c - 5*k for c. -2 Suppose -5*h = -h. Suppose -128 = -6*g + 22. Let d = -25 + g. Solve -2*c + 8 = q, 4*c + h*c - q - 16 = d for c. 4 Let g(x) = -x**3 + 25*x**2
{ "pile_set_name": "DM Mathematics" }
3))? -19 Evaluate -304 - -289 - (1 - (0 - -5)). -11 Calculate -1 + -8 + (16 - 9) + 0 + 7. 5 What is -13 - (-7 - 9 - (10 - -6))? 19 Calculate 4 - (-11 - (-37 + 14)). -8 Evaluate (-1 - -2 - 5) + (9 + -1 - 7). -3 4 + (10 - (8 - 4) - 8) + -4 -2 Evaluate (-3 - (-14 + (-2 - -8))) + -7. -2 What is 11 - -8 - (21 - -7)? -9 Evaluate -2 + 4 + -9 + 6 + -10. -11 -11 - (14 + -5) - (-18 - (-11 + 0)) -13 What is the value of (-2 - 2 - -1) + -12 + 5 + -2? -12 Calculate -8 - ((7 - 9) + -10). 4 What is the value of 224 - 237 - (-40 - -1)? 26 What is 16 - 12 - -1 - -4? 9 What is -4 - -3 - (46 + -56) - 4? 5 What is 7 + (-6 - (3 + 1 - 4))? 1 Calculate 8 - -2 - (-3 + 9 + -10 + 12). 2 What is the value of 1 + (-2 + 5 - -4 - -2) - -2? 12 Evaluate 15 + 42 + -21 + -45. -9 Calculate -39 - 1 - -25 - (2 - -4). -21 (6 - (4 - 2)) + -13 - (-78 - -83) -14 Evaluate -2 + (1 - 5) + 12 + 0 + -8. -2 What is the value of 60 + (-12 - 31) - (-4 - -5)? 16 What is the value of 19 + (15 - (89 + -30))? -25 Evaluate 1 - 3 - 2 - (27 - 37). 6 Evaluate 12 + (-30 + 66 - (-9 - -25)). 32 What is the value of 1 + -1 + 3 + (-14 - -7) + -6? -10 Evaluate (8 - -1) + 25 + -40. -6 8 + -6 + 1 + (6 - -1) - -10 20 What is 27 + (-12 - (-2 - -7))? 10 What is the value of (55 - 36) + (6 + (-5 - -4) - 12)? 12 What is the value of 0 - 1 - (37 - (16 + 1))? -21 What is 3 + -9 + 3 + -1 + -11? -15 What is -45 + 34 + (6 - -1)? -4 -5 + (62 - 9) + -28 20 What is -3 + (13 - (-13 - -25))? -2 What is the value of -5 - -3 - (-33 - -22)? 9 Calculate (0 - 2) + 3 + -1 + (39 - 35). 4 Calculate -204 - -197 - (-1 + 2 + -8). 0 Evaluate 3 + 1 - (9 - (8 + 5 - 7)). 1 What is the value of 4 + -3 - (1 + -1 + 9) - 1? -9 46 - 44 - (8 - 22) 16 What is 10 + -3 - 8 - 8? -9 Calculate 1 - -3 - (-872 + 855). 21 4 - 0 - -5 - (17 - 10) - 17 -15 What is 7 + (3 - ((1 - (-1 - -8)) + 7))? 9 -23 - (-22 + -1 - -5 - (-12 + 1)) -16 Evaluate 9 - (11 + -17 + 10 - -4). 1 Evaluate (35 + -15 - 12 - 13) + (-10 - -1). -14 Evaluate -1 + 0 + -1 + (-38 - -34) - -2. -4 What is (4 - (-1 - -1)) + (537 - 550)? -9 What is the value of 21 - 16 - 23 - -16? -2 (79 - 67) + -4 + -6 2 Evaluate 1 - 5 - (22 + -11 - 1). -14 10 - -2 - 1 - (8 + -24 - -9) 18 What is the value of -24 + -4 + (-14 + 34 - 14)? -22 1 - -6 - (23 + -10 + -10) 4 What is the value of 4 + -5 + (2 + -6 + -8 - -15)? 2 What is 26 + (27 + -26 - 4)? 23 What is the value of -4 + (0 - -1 - -7)? 4 What is -22 + 23 + 12 + -11 - (5 - 2)? -1 What is 9 - (-27 + 51 - 37)? 22 -12 - (-4 - -1) - -4 - -27 22 Calculate 34 - (24 + (-8 - (12 - 8))). 22 0 + -7 - -14 - ((4 - -1) + -1) 3 What is the value of 8 + 0 + -1 + -27 + -4 + 12? -12 Evaluate 52 + 44 + -103 - (-1 + 11 - 1). -16 What is the value of (-13 - (-8 + 12 - 4)) + 1? -12 What is (0 - 12) + -276 + 301? 13 What is the value of 112 - 110 - (2 + 2 + 8)? -10 (-6 + (5 - -7) - (1 - 1)) + 5 11 Evaluate 11 + -7 + 18 + 7 + -3. 26 Calculate -2 + 4 + (7 - 5) + 2 + -18. -12 What is the value of 20 + 0 + -48 + -8? -36 Evaluate 17 + (-2 - -3) + -6 + 0. 12 Evaluate 72 + -24 + 24 + -42. 30 What is the value of 0 - (4 - 3 - -8)? -9 Evaluate -5 + -19 - -11 - 0 - -29. 16 Evaluate -1 + -10 - -11 - 0. 0 What is the value of -19 - (-12 - (11 - 0))? 4 Calculate (0 - 20) + (-121 - -117) + 9 + 1. -14 Calculate 6 - -2 - (11 - -9 - 13). 1 What is the value of (-17 - -28) + (-6 - -31) + -3 + 0? 33 Evaluate (-75 - -78) + (0 + 2 - 2) + 7. 10 What is (-19 - (-8 + 2 + -1 - -2)) + 1? -13 -159 + 183 + 6 + -3 27 Evaluate -6 - (-9 + (0 - -8) + (39 - 44)). 0 What is -6 + (10 - 6) + 15? 13 What is the value of -38 + 20 + -3 + 3? -18 -16 - (9 + -30 - -11) -6 (2 - 3) + 0 - (-5 + -20 + 1) 23 16 - (31 + -66 + 34 - (0 + -3)) 14 What is the value of 0 + (9 - 7) + -12 - (-1 - 2)? -7 Calculate -10 + (25 - 2) + -7. 6 (2 + 1 - (0 - -3)) + (-2 - 1) -3 What is the value of 1 + 0 + (-5 - -4 - 3) + -2? -5 (-3 - 4) + (-2 - -10) 1 What is the value of -2 - ((-14 - -10) + -5)? 7 What is the value of 2 - 20 - (120 - 110 - (0 + 8))? -20 What is 26 - 30 - (8 + -15)? 3 What is the value of (-4 - 9) + 22 + -3 + -10? -4 -20 + (11 + 13 - 20) -16 What is -17 + (-9 - (-9 - -3) - -8)? -12 1 - (12 - 8) - (-16 - -13) 0 3 - (-7 + 4 - -15) -9 -3 + (0 - -3) - (13 - (-28 + 27)) -14 What is the value of (-1 - 4) + (11 + -19 - 3)? -16 What is the value of (-2 - (5 - 2)) + -5 + 3 + 0? -7 Evaluate -7 - (13 + (-1 - 1) - (-87 + 92)). -13 Evaluate -3 + 8 + (-10 - -6 - 1). 0 Evaluate -1 + -1 - (-10 + 15 + -9). 2 What is the value of -7 - (-10 - (11 - 25))? -11 What is -11 - (-12 - (1 - (0 + 9)))? -7 What is the value of -1 + 11 + -1 - (100 - 100)? 9 What is the value of -372 + 374 - (-1 + 1 + -4 - 1)? 7 Evaluate (-43 - 26) + 25 + 30. -14 What is 10 - 6 - -4 - 2 - (-14 - -31)? -11 (-8 - 9) + 12 - (-3 - 1) -1 Evaluate -38 + 23 + 7 - (0 + -2). -6 Calculate -117 - -118 - (0 - -9 - 2). -6 What is -1 - (-9 + 1 + 3 + 10)? -6 Evaluate -12 - 1 - (28 + -53). 12 Evaluate 3 - -4 - ((19 - 24) + (3 - 16)). 25 Calculate (-9 - -17 - (-11 - -22)) + -15. -18 Calculate 3 - (-8 - -8) - (8 - 5). 0 What is 148 - 139 - ((3 - (-1 - 11)) + 3)? -9 Evaluate -8 + -16 + 8 + 13 + 2. -1 -19 - ((27 - 15) + -21 - -12) -22 What is the value of 3 + (2 - 2) - ((30 - 10) + -17)? 0 1 + 2 - (10 + -19 + (20 - 4)) -4 Evaluate 0 + 12 - (-5 - -8). 9 Calculate (3 - 9) + 5 - (-1 + -1 + -4). 5 0 + -2 + 1 + (3 - 5 - -6) 3 (5 - (3 + -6)) + 16 + -9 15 (30 - -4) + -13 + -13 + (3 - 0) 11 Evaluate -2 + -3 + 6 + (8 - 13) + 15. 11 Calculate 0 + -6 + (9 - 6). -3 What is the value of (-85 - -62) + (-5 - -2) + -4? -30 Calculate (-3 - 0) + 7 - (1 + (21 - 22)). 4 Calculate 4 + (1 + 0 + -8 + 24 - 7). 14 What is 6 + -23 + (-2 + 2 - 2)? -19 Calculate (-126 - -137) + -2 + -6 + 0. 3 What is the value of -8 - (4 + -6 - (1 - 0))? -5 0 - (1 + -14) - (5 - -1) 7 What is -23 - 0 - (-4 - 69 - -75)? -25 Evaluate (4 - -1) + 7 + (-4 - (-15 + 9)). 14 What is -125 + 95 - (-27 + -1)? -2 What is -1 - (0 - 3 - (20 - 7 - 18))? -3 Calculate -3 + (1 - (-5 - -8)) + 9 + 10. 14 Calculate (-14 - 2 - (-237 + 247)) + 1 + 6. -19 What is 31 - (21 - 20 - -41)? -11 What is the value of 2 + 1 + 7 + -6 + -74 + 78? 8 What is 5 - (8 + 3) - (-8 + 8 - 0)? -6 Evaluate -10 + (-8 - -6 - (11 + (-9 - 7))). -7 What is the value of 13 + -4 - (-19 + (-24 - -52))? 0 Calculate -6 - (-1 - (-3 - -5)) - 1. -4 What is -27 + 4 + 17 + 22 + -1? 15 -30 + (-38 - -9) + 29 -30 What is -4 + (-13 - -11) - (-5 + 2 - -3)? -6 -9 - 1 - (17 - -13 - 39) -1 Evaluate 28 + -61 + 49 - (-15 - 0). 31 What is 1 + -7 - (0 + -9)? 3 (-2 - -12) + -32 + 32 + -33 -23 What is the value of (3 - (16 + -4 + -2)) + 1? -6 -231 - -209 - (-1 + -29) 8 Evaluate (2 - -6) + -7 - (0 + -2). 3 Calculate -39 + 26 + (29 - -1). 17 What is 2 + -2 + (-19 + 8 - -10)? -1 Evaluate -4 - -5 - -1 - (7 - 12). 7 23 + 12 + (-37 - -6) 4 Calculate (-4 - -2 - -16) + (-40 + -12 - -51). 13 -3 - (4 + 4 + (6 - 33)) 16 Evaluate -19 + (28 - 28) + (1 - (-3 + 2)). -17 What is the value of -25 + 35 + -48 - -56? 18 Evaluate -16 + (3 + (-15 - -7) - -48). 27 Calculate 6 + 9 + (-29 - 1) + 39 + -30. -6 Calculate -5 + 9 + 2 - -8 - 2. 12 (8 - 11) + 7 - -1 - 8 -3 What is the value of 8 - (-1 + 1 + -9 + (14 - -2))? 1 (84 - 30 - 19) + -65 -30 -1 + -5 + 3 + -24 + 25 + -9 -11 Calculate -8 + 10 + 7 + (1 - 31). -21 What is (-13 - -7) + 3 + (6 - (25 + -8))? -14 Evaluate 24 - (15 + -3 - -3). 9 What is 50 - 46 - ((4 - 9) + 1)? 8 Calculate 5 + -7 - (20 + (-4 - 0)). -18 (8 - 16) + 14 - (-7 - -26) -13 Calculate 8 + -15 - (-2 + -18 + (11 - 10)). 12 What is the value of 21 + -1 + -19 - -6? 7 Evaluate -23 - (6 + 27 + -39). -17 What is -1 - (-8 + (-8 + (-6 - -6) - -16))? -1 What is the value of 48 + 3 + 14 + -50? 15 Calculate (1 - -4) + 10 + (-13 - (-10 + 1)). 11 What is the value of 4 + (22 - 13 - (0 - -17 - 2))? -2 Calculate (-273 - -284) + (1 - -8) + (-2 - 0). 18 What is the value of -2 + (2 - (7 + -12 - 0)) - -5? 10 Evaluate (12 - 23) + (-13 - (-5 - -2)). -21 Calculate -5 - ((2 - (33 + 10)) + -5). 41 What is -7 + (-37 + 40 - (12 + -1))? -15 What is the value of 26 + -37 + 36 - 31? -6 Evaluate (0 - (-7 + 13)) + 7. 1 What is (4 - -2) + -55 + 70? 21 What is -10 + (1 - 14 - -6) + 7? -10 What is the value of 19 - (7 + 3 + 2) - -9? 16 Evaluate -7 + (-5 - -2 - -2). -8 -17 + (40 + (4 - -16) - 17) 26 Calculate 20 + 6 + -9 + 15 + -5. 27 What
{ "pile_set_name": "DM Mathematics" }
2. What is q*o(w) - 4*n(w)? -w + 2 Let n(r) = -7*r**3 + r**2 - r. Let q be n(1). Let i(v) = 2*v**3 - 2*v**2 + 2*v - 1. Let u(k) = -6*k**3 + 7*k**2 - 7*k + 2. Calculate q*i(h) - 2*u(h). -2*h**3 + 3 Let h(l) = -l - 8. Let z be h(-9). Let b(a) = z + 0 - 2. Let k(r) = -2*r + 2. Determine b(y) + k(y). -2*y + 1 Let d(i) = i - 4. Suppose -3*j + 0 + 3 = 4*f, 2*f + j = 3. Let w(b) = b - 2. Give f*d(t) - 5*w(t). -2*t - 2 Let v = -6 + 7. Let w(i) = 4 + i + 0*i + v - 4. Let a(u) = 7 - 4 + 7*u + 3. Calculate -a(s) + 5*w(s). -2*s - 1 Let h(l) = -3*l**2 + 7*l + 12. Let u(d) = -d**2 + 2*d + 4. Determine -6*h(t) + 17*u(t). t**2 - 8*t - 4 Let p be 4/(-2) - (4 + -3). Let r(t) = -t - 2. Let q be r(p). Let y(o) = -2*o**3 + 8*o**2 - 2*o - 8. Let c(m) = -m**2 + 1. What is q*y(v) + 8*c(v)? -2*v**3 - 2*v Let o(n) = -n + 2. Suppose 0*w = -4*w - 16. Let j(u) = 3*u - 3. Let z(r) = r - 1. Let v(b) = -4*j(b) + 10*z(b). What is w*o(t) + 3*v(t)? -2*t - 2 Let v(r) = r**2 - r. Let b(j) = -j + 3*j**2 - 7*j**3 + 2 - 4*j - 5*j**2. Let d(n) = -b(n) + 5*v(n). Let q(z) = -20*z**3 - 20*z**2 + 6. Give 17*d(w) + 6*q(w). -w**3 - w**2 + 2 Let m(h) be the third derivative of h**5/60 - h**3/6 - 3*h**2. Let y(u) = u - 2. Suppose -q - 2 = q. Determine q*y(i) + 2*m(i). 2*i**2 - i Suppose -6*o = -4*o - 36. Suppose m + 2*m - o = 0. Let g(s) = 4*s**3 + 6*s**2 - 7*s - 1. Let l(v) = -9*v**3 - 13*v**2 + 15*v + 2. Determine m*l(u) + 13*g(u). -2*u**3 - u - 1 Let c(o) = -3*o + 7. Let g(h) = 5*h - 10. What is -8*c(m) - 5*g(m)? -m - 6 Let o(n) = -12*n**2 + 9*n - 9. Let k(b) = -58*b + 60*b - 1 - 1 - b**2 - 2*b**2. Give -9*k(v) + 2*o(v). 3*v**2 Let m(v) be the third derivative of -v**4/24 + v**3 + v**2. Suppose 3*x + x - 40 = 0. Let d be x/3 - 4/(-6). Let r(i) = -i + 5. Calculate d*m(o) - 5*r(o). o - 1 Let h(p) = -5*p**2 - 3*p - 2. Let s(l) be the third derivative of -3*l**5/20 - 5*l**4/24 - l**3/2 + 14*l**2. What is -7*h(u) + 4*s(u)? -u**2 + u + 2 Let c be 65/(-10) + (-4)/8. Let u(j) = -2*j**3 + 8*j - 3 - 2*j**2 + 4 - 2*j. Let z(w) = -2*w**3 - 2*w**2 + 7*w + 1. What is c*u(r) + 6*z(r)? 2*r**3 + 2*r**2 - 1 Let o(p) = -p. Let n(s) = -7*s - 9. Give -n(q) + 5*o(q). 2*q + 9 Let x(f) = 6*f + 3. Let m(b) = -17*b - 8. Give -3*m(n) - 8*x(n). 3*n Let n(z) = 5*z**3 - z**2 - 11*z - 6. Let a(f) = -11*f**3 + 2*f**2 + 23*f + 13. Calculate -6*a(b) - 13*n(b). b**3 + b**2 + 5*b Let a(p) = 5*p**2 - 2*p - 2. Suppose 3*z - 4 = 4*z. Let g(c) be the first derivative of 11/3*c**3 - 2 - 5/2*c**2 - 4*c. What is z*g(j) + 9*a(j)? j**2 + 2*j - 2 Let p(i) = -3*i + 6 + 14 - i - 13. Let x(n) = 2*n - 3. What is 2*p(c) + 5*x(c)? 2*c - 1 Let y(a) = a - 6. Let d(u) = 2. Determine -11*d(w) - 4*y(w). -4*w + 2 Let x(g) = -16*g**3 - 11*g**2 + 11*g - 11. Let f(k) = -3*k**3 - 2*k**2 + 2*k - 2. Suppose 5*c + 2*m + 171 = 0, 7*c - 3*c = -2*m - 138. Give c*f(b) + 6*x(b). 3*b**3 Let l(c) = c**3 - 6*c**2 - 6*c - 4. Let q(k) = 2*k**3 - 5*k**2 - 5*k - 4. Determine -3*l(x) + 4*q(x). 5*x**3 - 2*x**2 - 2*x - 4 Let c(m) = m**2 - m + 4. Let g = -16 - -21. Suppose 0 = 5*q - 5*t - 30, 3*t - 5 = -g*q + 1. Let r(o) = 3*o**2 - 2*o + 9. Give q*r(n) - 7*c(n). 2*n**2 + n - 1 Let w(o) be the third derivative of -7*o**4/24 - 5*o**3/6 + o**2. Let s(g) = -3*g - 2. Let d(u) = -u**2 - 7*u + 5. Let c be d(-7). Give c*s(a) - 2*w(a). -a Let i(l) = -l**2 + 1. Let c(n) = 8*n**2 - 5. Let v = -42 - -41. What is v*c(q) - 5*i(q)? -3*q**2 Let w(c) = 8*c - 2. Let z(g) = 7*g - 2. Determine 2*w(t) - 3*z(t). -5*t + 2 Let y(u) = u**3 + 4*u**2 - 5*u - 1. Let h(n) = -31*n**2 + 2*n**3 + 24*n**2 + 16*n**2 - 3 - 11*n. Calculate -4*h(i) + 9*y(i). i**3 - i + 3 Let w(d) = 7*d + 6. Let h(a) be the second derivative of 3*a + 1/2*a**3 + 3/2*a**2 + 0. What is 5*h(o) - 2*w(o)? o + 3 Let d(c) = -c**3 + c**2 - 1. Let m(j) = 6*j**3 - 5*j**2 - j + 4. Let f(z) = -z**2 + 5*z + 5. Let w be f(6). Give w*m(k) - 4*d(k). -2*k**3 + k**2 + k Let m(v) = -6*v**3 + 4*v - 57. Let n(a) = 5*a**3 - 3*a + 56. Determine -3*m(r) - 4*n(r). -2*r**3 - 53 Let n(k) = -k + 1. Let t(o) = -3*o + 6. Let r(d) = -4*n(d) + 2*t(d). Suppose 0 = 10*j - 8*j + 12. Let x(u) = 3 + 0 - 2. Give j*x(l) + r(l). -2*l + 2 Let x(f) = -15*f + 81. Let p(u) = -u + 5. Calculate 33*p(n) - 2*x(n). -3*n + 3 Let h(b) = -33*b**2 - 13. Let n(i) = 16*i**2 + 6. Give 6*h(y) + 13*n(y). 10*y**2 Let s(w) = -w - 7. Suppose 0 = -5*y + 24 + 6. Let u = y - 4. Let v be 12/(-8)*(u + -6). Let b(p) = -p - 6. Give v*s(g) - 7*b(g). g Let n(g) = -1. Let t(y) = -2*y - 8. Suppose -5*l + 2 = -3. Let a(f) = l*t(f) - 8*n(f). Let c(j) = j. Calculate -3*a(p) - 8*c(p). -2*p Let f(w) = 3*w - 1. Let h = 7 + -4. Let y be (8/20 + 0)/((-2)/(-10)). Let s(i) = -4*i + 1. Calculate h*f(q) + y*s(q). q - 1 Let h(x) = -4*x**3 + 3*x**2 - 2*x + 3. Suppose -32*a + 144 = -16. Let k(j) = -7*j**3 + 5*j**2 - 3*j + 5. Let z = 5 - 8. What is a*h(r) + z*k(r)? r**3 - r Suppose 0 = -2*d - 2*m - 6, 0 = -5*d - m + 5 - 4. Let o(s) = s. Let g(c) = -5*c. What is d*g(t) + 4*o(t)? -t Let g(c) = -3*c**2 + 7. Let o(z) = 13*z**2 - 28. Give -9*g(s) - 2*o(s). s**2 - 7 Let c(n) = 3*n**2 - 10*n + 7. Let d(f) = -f**2 + 3*f - 2. Calculate 2*c(l) + 7*d(l). -l**2 + l Let j(k) = 20*k**3 - 4. Let c(l) = -41*l**3 + 7. Calculate 4*c(x) + 7*j(x). -24*x**3 Let u(z) = 3*z**3 - 17*z**2 + 8*z. Let f(b) = b**3 - 6*b**2 + 3*b. Let x(o) = o - 11. Let w be x(-6). What is w*f(p) + 6*u(p)? p**3 - 3*p Suppose 0 = 2*v - 7 - 1. Let q(d) = 1 + 2*d + v - 4 - 3*d. Let l be (-6)/(-4)*3*-2. Let b(i) = -5*i + 5. Determine l*q(y) + 2*b(y). -y + 1 Let c(r) = 1. Let l(p) = -p + 8. Suppose 15 = 2*t + 3*t. Calculate t*l(i) - 24*c(i). -3*i Let i(s) = -s**2 - 7*s - 3. Let l(v) = v**2 + v + 1. What is -i(b) - 3*l(b)? -2*b**2 + 4*b Let t be (-1 - -12)/(-2 - -3). Let q(h) = -h**2 + 2*h. Let p(g) be the second derivative of 5*g**4/12 - 11*g**3/6 + 168*g. Calculate t*q(m) + 2*p(m). -m**2 Let a(k) = k**3 - 2*k**2 - 2*k - 2. Let r(l) = -l**3 + 3*l**2 + 3*l + 3. Give 3*a(h) + 2*r(h). h**3 Let v(s) = -2*s + 0*s - 5 + s**2 - 3*s. Let g(j) be the second derivative of -j**3/6 - j**2/2 + 13*j. Give 5*g(c) - v(c). -c**2 Let z(g) = -g - 2. Let i(b) = -b - 2. Let n be -5*4/(-8)*-2. Give n*i(y) + 4*z(y). y + 2 Let g(i) be the first derivative of -i**2/2 + 13*i + 4. Let t be g(12). Let q(s) = s - 1. Suppose 2*a = 3*a + 2. Let v(r) = r. What is a*q(d) + t*v(d)? -d + 2 Let i(x) = -4*x - 3. Suppose 0 = -3*t - 2*t + 20. Suppose -5*y + 9 = -2*y. Let b(g) = 1 - 155*g + 3 - 2 + 2 + 160*g. Calculate t*i(a) + y*b(a). -a Let q(t) = -t + 5. Let k(h) = -h + 9. Let x = -3 + -2. Let y(f) = x*q(f) + 3*k(f). Let u(j) = -j - 1. What is 5*u(i) + 3*y(i)? i + 1 Let q(f) = -17*f + 35. Let h(k) = -6*k + 12. Let m(t) = 8*h(t) - 3*q(t). Let b(a) = 1. Determine -9*b(z) - m(z). -3*z Let u be 46/(-14) - 1*10/(-35). Let y(q) = q**2 + 2*q - 2. Let g(o) = 0*o**2 - 3*o**2 - 5*o - 3 + 9. Give u*g(d) - 8*y(d). d**2 - d - 2 Let j(g) = -7*g**2 - 9*g + 9. Let m(q) = 3*q**2 + 5*q - 5. What is -3*j(r) - 5*m(r)? 6*r**2 + 2*r - 2 Suppose d + 4*d + 35 = 0. Let w(o) = 4*o**2 - 3*o + 1. Let m(u) = 3*u**2 - 2*u + 1. Let n(s) = 3*m(s) - 2*w(s). Let h(i) = 3*i**2 + i + 3. Give d*n(c) + 2*h(c). -c**2 + 2*c - 1 Let d(z) = -12*z**3 - 2*z - 1. Let c be d(-1). Let f(n) = -9*n**3 + 13*n - 2. Let l(r) = 2 - 6*r + 3*r**3 + r**3 - 1. Calculate c*l(v) + 6*f(v). -2*v**3 + 1 Let k(o) = -3*o**2 + o - 2. Let z be k(1). Let p(q) = -6*q + 5. Let c(a) = 5*a - 4. Determine z*p(t) - 5*c(t). -t Let a(b) = -2*b - 1. Let f be 4/10 + 33/5. Let q = 3 + -8. Let x(t) be the first derivative of -3*t**2/2 - t + 7. Give f*a(n) + q*x(n). n - 2 Let y(l) = l + 7. Let m(k) = k + 8. Calculate 6*m(c) - 7*y(c). -c - 1 Let g(p) = 28*p**3 - 3*p**2 - 4*p. Let u(k) = 28*k**3 - 2*k**2 - 3*k. Give 3*g(r) - 4*u(r). -28*r**3 - r**2 Let f(o) = -4*o - 7*o + 10*o + 3 - 7. Let i(w) = -3. Calculate 3*f(t) - 4*i(t). -3*t Let s(j) = 5*j**2 + j - 2. Let k(l) = -3*l**2 - l + 1. What is 7*k(h) + 3*s(h)? -6*h**2 - 4*h + 1 Let r(m) = 3*m**2 + 6*m - 7. Let z be (-1)/1 + -2 - -8. Let g(a) = 4*a**2 + 9*a - 10. Calculate z*g(o) - 7*r(o). -o**2 + 3*o - 1 Let z = 6 + -9. Let n(s) = s. Let x(b) = -2*b. Let o = -13 + 28. Suppose 0 = -0*q - 5*q - 4*k - o, 4*q - 2*k + 38 = 0. Determine q*n(m) + z*x(m). -m Suppose 1 = -5*o + 4*o. Let s(d) = 2*d**2 - 6*d - 2. Let k = -2 - -1.
{ "pile_set_name": "DM Mathematics" }
hat is the a'th term of 9702, 9701, 9698, 9693, 9686, 9677? -a**2 + 2*a + 9701 What is the x'th term of 27975, 28074, 28185, 28314, 28467, 28650, 28869? x**3 + 92*x + 27882 What is the f'th term of 1028, 2128, 3374, 4838, 6592, 8708, 11258, 14314? 12*f**3 + f**2 + 1013*f + 2 What is the u'th term of 64, 141, 218, 295, 372, 449? 77*u - 13 What is the l'th term of 824, 2454, 4884, 8114? 400*l**2 + 430*l - 6 What is the b'th term of -1015, -1994, -2973? -979*b - 36 What is the t'th term of 2010, 2018, 2026? 8*t + 2002 What is the r'th term of 377, 707, 967, 1121, 1133, 967, 587, -43? -6*r**3 + r**2 + 369*r + 13 What is the y'th term of 193, 783, 1763, 3133, 4893? 195*y**2 + 5*y - 7 What is the m'th term of -667, -2655, -5963, -10585, -16515, -23747, -32275? m**3 - 666*m**2 + 3*m - 5 What is the p'th term of -72511, -290060, -652641, -1160254, -1812899, -2610576, -3553285? -72516*p**2 - p + 6 What is the i'th term of 565656, 565655, 565654, 565653, 565652, 565651? -i + 565657 What is the u'th term of -2408, -4434, -6460? -2026*u - 382 What is the o'th term of 7495, 7514, 7533, 7552, 7571? 19*o + 7476 What is the d'th term of 3028, 6041, 9054, 12067, 15080, 18093? 3013*d + 15 What is the b'th term of 84, 314, 544, 774, 1004? 230*b - 146 What is the y'th term of -318, -641, -1178, -1923, -2870, -4013, -5346? y**3 - 113*y**2 + 9*y - 215 What is the a'th term of 11150, 11163, 11178, 11195, 11214, 11235, 11258? a**2 + 10*a + 11139 What is the z'th term of -9166, -18344, -27522, -36700? -9178*z + 12 What is the o'th term of -44434, -177782, -400026, -711166, -1111202, -1600134? -44448*o**2 - 4*o + 18 What is the u'th term of 86, 380, 880, 1592, 2522, 3676, 5060? u**3 + 97*u**2 - 4*u - 8 What is the r'th term of 354, 2952, 10038, 23856, 46650, 80664? 374*r**3 - 20*r What is the n'th term of 88, 131, 194, 277? 10*n**2 + 13*n + 65 What is the y'th term of -2264841, -2264840, -2264839, -2264838? y - 2264842 What is the a'th term of -1295, -712, -129, 454? 583*a - 1878 What is the h'th term of -32997, -65999, -99001, -132003? -33002*h + 5 What is the d'th term of -18972, -18959, -18948, -18939? -d**2 + 16*d - 18987 What is the c'th term of 302, 683, 1064, 1445, 1826? 381*c - 79 What is the j'th term of -500, -1387, -2886, -4991, -7696, -10995, -14882, -19351? j**3 - 312*j**2 + 42*j - 231 What is the f'th term of -32774, -32779, -32784, -32789, -32794, -32799? -5*f - 32769 What is the l'th term of -1197, -4737, -10627, -18861, -29433, -42337? l**3 - 1181*l**2 - 4*l - 13 What is the q'th term of 169, 1390, 4699, 11140, 21757, 37594, 59695? 174*q**3 + 3*q - 8 What is the d'th term of 8057, 16115, 24173? 8058*d - 1 What is the s'th term of -514, -2079, -4692, -8353, -13062, -18819, -25624? -524*s**2 + 7*s + 3 What is the l'th term of -96242, -96244, -96246? -2*l - 96240 What is the i'th term of -64325, -128661, -192997, -257333? -64336*i + 11 What is the w'th term of 1516, 1501, 1486, 1471, 1456? -15*w + 1531 What is the f'th term of 26892, 53827, 80762? 26935*f - 43 What is the y'th term of -895, -1416, -1935, -2452, -2967, -3480? y**2 - 524*y - 372 What is the k'th term of 57, -92, -351, -726, -1223, -1848, -2607, -3506? -k**3 - 49*k**2 + 5*k + 102 What is the a'th term of 3, -67, -203, -405, -673, -1007? -33*a**2 + 29*a + 7 What is the c'th term of 44846, 89690, 134534, 179378? 44844*c + 2 What is the y'th term of -115, -893, -3003, -7111, -13883, -23985, -38083? -111*y**3 - y - 3 What is the s'th term of 21, 259, 825, 1857, 3493, 5871, 9129, 13405? 23*s**3 + 26*s**2 - s - 27 What is the n'th term of 26, -25, -148, -379, -754? -6*n**3 - 9*n + 41 What is the m'th term of -3651, -7306, -10961, -14616, -18271? -3655*m + 4 What is the t'th term of -3261, -6515, -9769, -13023, -16277? -3254*t - 7 What is the n'th term of -815, -1694, -2571, -3446, -4319, -5190? n**2 - 882*n + 66 What is the h'th term of 2539, 5071, 7603, 10135, 12667? 2532*h + 7 What is the k'th term of 12231, 24476, 36723, 48972? k**2 + 12242*k - 12 What is the h'th term of -9196, -18427, -27688, -36991, -46348? -2*h**3 - 3*h**2 - 9208*h + 17 What is the n'th term of 35349, 35347, 35345, 35343, 35341? -2*n + 35351 What is the q'th term of -111367, -111371, -111377, -111385, -111395, -111407, -111421? -q**2 - q - 111365 What is the g'th term of 293, 1088, 2409, 4256? 263*g**2 + 6*g + 24 What is the o'th term of -2707, -5414, -8121, -10828? -2707*o What is the c'th term of -37319, -37409, -37499, -37589, -37679? -90*c - 37229 What is the h'th term of 837, 1738, 2627, 3498, 4345, 5162, 5943, 6682? -h**3 + 908*h - 70 What is the v'th term of -1358, -787, -216, 355? 571*v - 1929 What is the h'th term of 13, 183, 353, 523, 693? 170*h - 157 What is the b'th term of 1194, 2350, 3458, 4524, 5554, 6554, 7530? b**3 - 30*b**2 + 1239*b - 16 What is the y'th term of -33, -190, -465, -852, -1345, -1938, -2625? y**3 - 65*y**2 + 31*y What is the w'th term of -30940, -61890, -92840, -123790, -154740, -185690? -30950*w + 10 What is the j'th term of -49, -277, -649, -1159, -1801, -2569, -3457? j**3 - 78*j**2 - j + 29 What is the h'th term of 5, -20, -61, -118, -191? -8*h**2 - h + 14 What is the t'th term of 29, -996, -2713, -5128, -8247? -t**3 - 340*t**2 + 2*t + 368 What is the r'th term of 764, 3329, 7696, 13865, 21836, 31609? 901*r**2 - 138*r + 1 What is the s'th term of 62, 324, 768, 1394, 2202, 3192? 91*s**2 - 11*s - 18 What is the j'th term of 25241, 50483, 75725, 100967, 126209, 151451? 25242*j - 1 What is the r'th term of -84562, -169164, -253766, -338368? -84602*r + 40 What is the b'th term of -645, -1291, -1937, -2583? -646*b + 1 What is the x'th term of -16134, -64507, -145128, -257997? -16124*x**2 - x - 9 What is the l'th term of 50301, 50312, 50337, 50382, 50453, 50556, 50697, 50882? l**3 + l**2 + l + 50298 What is the d'th term of -112841, -225677, -338513, -451349, -564185, -677021? -112836*d - 5 What is the p'th term of 269537, 269541, 269545, 269549, 269553, 269557? 4*p + 269533 What is the v'th term of 106, 356, 750, 1288, 1970? 72*v**2 + 34*v What is the w'th term of 7198, 28798, 64790, 115168, 179926, 259058, 352558, 460420? -w**3 + 7202*w**2 + w - 4 What is the o'th term of 240, 842, 1810, 3144? 183*o**2 + 53*o + 4 What is the m'th term of -8568, -8711, -8950, -9285, -9716, -10243? -48*m**2 + m - 8521 What is the r'th term of 1932685, 3865368, 5798051, 7730734, 9663417, 11596100? 1932683*r + 2 What is the f'th term of -35840, -71678, -107516, -143354? -35838*f - 2 What is the s'th term of 659, 1309, 1959? 650*s + 9 What is the v'th term of 2143, 2183, 2229, 2287, 2363, 2463, 2593? v**3 - 3*v**2 + 42*v + 2103 What is the r'th term of -155, -538, -1177, -2072, -3223? -128*r**2 + r - 28 What is the a'th term of 106524, 213047, 319570, 426093? 106523*a + 1 What is the u'th term of -23975, -96711, -217937, -387653, -605859, -872555? -24245*u**2 - u + 271 What is the m'th term of -62350, -124708, -187066, -249424? -62358*m + 8 What is the m'th term of 7373, 14610, 21833, 29036, 36213? -m**3 - m**2 + 7247*m + 128 What is the m'th term of -122, -945, -3162, -7463, -14538, -25077? -115*m**3 - 7*m**2 + 3*m - 3 What is the w'th term of 27506, 54997, 82488, 109979, 137470? 27491*w + 15 What is the o'th term of -20, -332, -1230, -3008, -5960, -10380? -49*o**3 + o**2 + 28*o What is the k'th term of -121, -243, -357, -457, -537? k**3 - 2*k**2 - 123*k + 3 What is the k'th term of 5048, 5044, 5040? -4*k + 5052 What is the z'th term of -197, -1828, -6245, -14840, -29005, -50132, -79613? -232*z**3 - z**2 - 4*z + 40 What is the m'th term of -1080377, -1080378, -1080379? -m - 1080376 What is the r'th term of -993, -1964, -2933, -3900? r**2 - 974*r - 20 What is the h'th term of 358700, 717400, 1076100? 358700*h What is the m'th term of 52414, 104825, 157236, 209647? 52411*m + 3 What is the j'th term of -274, -275, -246, -175, -50, 141, 410, 769? 2*j**3 + 3*j**2 - 24*j - 255 What is the t'th term of -3422, -6750, -10068, -13370, -16650? t**3 - t**2 - 3332*t - 90 What is the k'th term of -119872, -119858, -119842, -119824? k**2 + 11*k - 119884 What is the q'th term of -5660, -12035, -18410? -6375*q + 715 What is the b'th term of -133149, -133155, -133161, -133167, -133173, -133179? -6*b - 133143 What is the i'th te
{ "pile_set_name": "DM Mathematics" }
ve l(-30). -2 Let d(z) = 5*z + 72. Give d(-9). 27 Let f(a) = 6*a - 13. Give f(9). 41 Let h(k) = 5*k + 11. What is h(-13)? -54 Let j(m) = -78*m - 724. What is j(-9)? -22 Let q(h) = -6*h**3 - h - 1. Calculate q(-2). 49 Let z(m) = -2*m**3 + 3*m**2 + 6*m - 8. Determine z(2). 0 Let m(b) = b**3 + 6*b**2 - 2*b - 12. What is m(-6)? 0 Let k(x) = -2*x**3 + 3*x**2 + 5*x + 8. What is k(-3)? 74 Let m(q) = -10*q + 12. What is m(8)? -68 Let k(z) = -4*z**2 + z - 4. Calculate k(3). -37 Let b(d) = -2*d**2 - 14*d + 2. Calculate b(-7). 2 Let g(m) = m**3 + 18*m**2 - 2*m - 24. Determine g(-18). 12 Let f(n) = n**2 - 3*n + 4. What is f(5)? 14 Let y(b) = b**2 - 2*b - 1. Determine y(5). 14 Let d(f) = -f**3 - 17*f**2 - 15*f + 30. Determine d(-16). 14 Let u(o) = -19*o + 89. Give u(5). -6 Let x(m) = -9*m - 52. What is x(-6)? 2 Let x(i) = -5*i**3 + i**2 - i - 1. Determine x(-1). 6 Let h(k) = k**3 - 10*k**2 - 11*k + 14. Give h(11). 14 Let t(r) = r**3 - r**2 - 93*r - 24. Calculate t(-9). 3 Let y(s) = 3*s - 15. Determine y(-6). -33 Let l(x) = x**3 - 31*x**2 + 29*x + 43. Calculate l(30). 13 Let x(z) = z**2 - 6*z - 1. What is x(3)? -10 Let f(w) = 13*w + 283. Calculate f(-21). 10 Let w(y) = 2*y**3 - 32*y**2 - 5*y + 76. What is w(16)? -4 Let r(f) = -5*f. Calculate r(5). -25 Let g(l) = -l**3 - 3*l**2 + l - 7. Give g(-3). -10 Let i(a) = -a**3 - 5*a**2 + 9*a + 9. Calculate i(-6). -9 Let x(d) = -d**3 + 8*d**2 + 10*d - 6. Calculate x(8). 74 Let z(q) = -q**3 + 6*q**2 - 8*q + 26. Determine z(6). -22 Let j(w) = w**2 - 11*w + 9. Calculate j(9). -9 Let d(q) = -q**3 + 17*q**2 - 29*q - 16. Determine d(15). -1 Let s(m) = 13*m - 97. Determine s(8). 7 Let t(b) = b**3 + 3*b**2 - 4*b + 9. Give t(-6). -75 Let i(j) = j**2 - 4*j - 12. Give i(6). 0 Let i(s) = -5*s - 1. What is i(-9)? 44 Let m(z) = 2*z**3 + z**2 + 2*z + 1. Calculate m(-2). -15 Let c(j) = j**3 - 6*j**2 - 6*j - 15. Determine c(7). -8 Let l(o) = 2*o**2 + o - 3. Determine l(0). -3 Let g(n) = -n**3 - 9*n**2 + 3*n + 29. What is g(-9)? 2 Let l(n) = -n**3 - 4*n**2 + 7*n + 24. Determine l(-3). -6 Let q(o) = o**3 - 8*o**2 - 13*o - 71. What is q(10)? -1 Let p(b) = -13*b + 9. Calculate p(-3). 48 Let g(l) = l**3 + 4*l**2 + 4*l + 25. Give g(-4). 9 Let z(i) = -6*i + 30. Determine z(10). -30 Let b(w) = 6*w - 25. What is b(-8)? -73 Let y(i) = -i**3 - 16*i**2 - 12*i + 20. What is y(-15)? -25 Let u(y) = -y**3 - 8*y**2 + 22*y - 10. Calculate u(-10). -30 Let v(d) = -d**2 + 5*d + 5. What is v(7)? -9 Let h(k) = k**3 + 4*k**2 - 5*k - 10. Calculate h(-4). 10 Let v(a) = a**2 - 6*a + 18. Determine v(6). 18 Let d(g) = -g**2 + 15*g + 147. Calculate d(22). -7 Let t(h) = h**2 + 7*h + 7. What is t(-7)? 7 Let r(d) = -8*d + 5. Determine r(-1). 13 Let v(t) = t**3 + 4*t**2 - 8*t - 14. Determine v(-5). 1 Let a(o) = o**2 - 4*o - 7. Give a(6). 5 Let n(j) = -j + 6. Give n(5). 1 Let u(c) = -c**2 + 17*c - 9. What is u(15)? 21 Let w(f) = f**3 - 4*f**2 - 48*f + 35. What is w(9)? 8 Let c(t) = -24*t**3 - 1. Calculate c(-1). 23 Let m(p) = -p**3 - 2*p**2 - 3*p + 8. Determine m(-5). 98 Let s(u) = u**3 - 7*u**2 + 5*u + 7. Calculate s(6). 1 Let m(h) = 9*h + 1. What is m(-1)? -8 Let r(j) = -2*j**3 - 39*j**2 + 24*j + 73. Give r(-20). -7 Let k(o) = -o + 24. Determine k(13). 11 Let q(f) = f**3 - 13*f**2 - 15*f + 19. What is q(14)? 5 Let h(v) = -2*v**3 + 56*v**2 + 58*v - 16. Calculate h(29). -16 Let t(g) = g**2 - 3*g - 28. Calculate t(-6). 26 Let d(f) = -2*f + 16. What is d(10)? -4 Let z(w) = 14*w - 36. Determine z(10). 104 Let v(d) = d**3 + 24*d**2 - 26*d - 14. Determine v(-25). 11 Let u(c) = c**2 + 24*c - 16. Calculate u(-25). 9 Let p(t) = 2*t**2 - 17*t + 23. What is p(7)? 2 Let g(t) = 2*t + 19. Give g(-11). -3 Let h(t) = t + 5. Give h(-4). 1 Let f(w) = 4*w - 4. What is f(6)? 20 Let l(d) = -3*d - 36. What is l(-14)? 6 Let g(d) = 2*d**2 + 9*d - 33. Determine g(-8). 23 Let r(c) = -4*c - 2. What is r(-7)? 26 Let i(l) = -l**2 - 28*l - 68. Give i(-26). -16 Let n(q) = 8*q - 189. What is n(25)? 11 Let d(k) = k**2 + 3*k - 23. What is d(-7)? 5 Let i(n) = -n**2 - n + 7. Calculate i(2). 1 Let c(p) = p**3 - 10*p**2 + 10*p - 3. Calculate c(9). 6 Let u(b) = 5*b - 7. Determine u(-6). -37 Let x(z) = -z**3 + 13*z**2 + 13*z - 20. Give x(14). -34 Let l(j) = -2*j**2 + 10*j + 164. What is l(-7)? -4 Let k(j) = j**3 + 13*j**2 + 8*j + 306. What is k(-14)? -2 Let j(n) = 10*n + 10. Give j(-4). -30 Let l(w) = w**3 - 6*w**2 + 3*w - 16. Give l(7). 54 Let g(l) = -l**3 - 16*l**2 - 5*l - 84. What is g(-16)? -4 Let f(g) = g**3 + 2*g**2 + 2*g + 1. Give f(-1). 0 Let x(f) = -f - 18. Calculate x(-5). -13 Let x(v) = -7*v**2 + 6*v + 7. Give x(-1). -6 Let b(s) = -21*s - 86. Calculate b(-5). 19 Let l(q) = q**3 - q**2 - 4*q - 4. Determine l(-2). -8 Let k(r) = -r**2 + r + 3. Calculate k(-8). -69 Let g(x) = x - 30. Calculate g(0). -30 Let a(g) = g**2 - 10*g - 4. What is a(8)? -20 Let c(s) = 5*s**2 - 23*s - 11. Determine c(5). -1 Let d(x) = x**3 - 5*x**2 - 5*x + 3. What is d(6)? 9 Let h(u) = 46*u - 2. Calculate h(1). 44 Let b(m) = 2*m + 8. Give b(-6). -4 Let x(h) = -h + 4. Determine x(-2). 6 Let o(u) = -u**2 - 10*u - 4. What is o(-7)? 17 Let l(o) = 2*o**2 + o - 3. Calculate l(3). 18 Let b(a) = -4*a - 60. Determine b(-18). 12 Let u(f) = -f**3 - 7*f**2 - 9*f - 12. Determine u(-6). 6 Let r(i) = i**3 - 6*i**2 + 2*i - 1. Determine r(6). 11 Let o(w) = -13*w - 46. What is o(-11)? 97 Let u(n) = -n**2 - 12*n - 28. What is u(-7)? 7 Let b(o) = -o**3 + 5*o**2 + 13*o + 20. Give b(7). 13 Let s(n) = -n**2 - 3*n + 4. Calculate s(-5). -6 Let q(d) = 3*d - 6. What is q(3)? 3 Let z(c) = c**3 + 5*c**2 + 2*c - 13. Give z(-4). -5 Let k(z) = z**2 + 6*z + 11. Determine k(-9). 38 Let r(l) = -l**2 + 4*l + 1. Calculate r(5). -4 Let a(h) = -4*h**3 + 2*h**2 - 1. Calculate a(-2). 39 Let x(w) = 3*w + 28. Determine x(-8). 4 Let k(h) = 14*h + 39. Determine k(-10). -101 Let y(h) = 6*h - 8. Give y(5). 22 Let s(f) = -8*f + 2. Give s(1). -6 Let s(v) = -57*v**2 + 1. What is s(-1)? -56 Let t(i) = -i**3 - 15*i**2 + 19*i + 17. Determine t(-16). -31 Let a(m) = m**2 - 8*m - 9. Give a(9). 0 Let h(l) = -7*l - 19. Determine h(-3). 2 Let s(q) = 32*q + 20. Determine s(-1). -12 Let p(a) = -8*a**2 - 4*a - 3. Calculate p(-1). -7 Let t(y) = 2*y - 13. Determine t(10). 7 Let d(h) = h**2 + 19*h + 89. Determine d(-13). 11 Let s(i) = -i**3 - 30*i**2 - 25*i + 7. Calculate s(-29). -109 Let l(h) = -5*h**3 + 3*h**2 - 2*h - 2. Give l(2). -34 Let w(g) = -5*g + 72. What is w(17)? -13 Let t(f) = 6*f. Give t(9). 54 Let u(s) = s**3 - 8*s**2 + 5*s - 3. Determine u(8). 37 Let w(g) = g**3 + 25*g**2 - 51*g + 64. Calculate w(-27). -17 Let l(w) = 8*w + 59. Calculate l(-6). 11 Let g(x) = -x**2 + 17*x + 30. Determine g(18). 12 Let p(k) = -2*k**2 - 12*k - 8. What is p(-6)? -8 Let s(k) = 2*k**2 - 22*k + 56. Determine s(4). 0 Let i(n) = 2*n + 37. Give i(-10). 17 Let o(l) = 4*l**2 + 119*l + 37. Calculate o(-30). 67 Let l(a) = a**3 + 7*a**2 + 3*a + 7. Give l(-7). -14 Let y(u) = u + 10. Give y(-6). 4 Let d(i) = -i**3 + 12*i**2 + 11*i + 2. What is d(13)? -24 Let s(z) = -z**3 - 31*z**2 - 29*z + 34. Determine s(-30). 4 Let y(f) = 2*f**2 + 16*f - 69. What is y(3)? -3 Let y(z) = -z**3 - 4*z**2 - 5*z. Give y(-2). 2 Let d(s) = -s**2 + 7*s + 22. Give d(-4). -22 Let j(n) = n + 12. What is j(-10)? 2 Let q(r) = -r**2 + 4*r + 22. Determine q(0). 22 Let i(j) = 3*j - 24. Calculate i(-7). -45 Let z(f) = f**3 + 6*f**2 - 2*f - 21. Give z(-3). 12 Let h(r) = -r**3 - 7*r**2 - 3*r - 5. Calculate h(-6). -23 Let w(f) = -f**2 - 21*f + 22. Determine w(-22). 0 Let f(m) = -2*m**2 + 5*m - 3. Calculate f(3). -6 Let q(f) = 13*f - 2. Give q(-3). -41 Let s(w) = -4*w**2 + 25*w - 41. Calculate s(2). -7 Let v(y) = -y**2 - 2*y + 5. Give v(-6). -19 Let g(k) = -k**2 + 36*k + 125. What is g(39)? 8 Let u(f) = f**2 + 37*f + 1. Calculate u(-37). 1 Let q(z) = z + 13. Determine q(-5). 8 Let r(m) = -60*m + 9. Give r(-3). 189 Let m(t) = -4*t**2 - 66*t - 22. Determine m(-16). 10 Let t(w) = -2*w - 15. Calculate t(-6). -3 Let o(p) = p - 3. Determine o(9). 6 Let w(u) = u**3 + 5*u**2 + 7*u + 10. What is w(-4)? -2 Let j(b) = -2*b - 9. Calculate j(-9). 9 Let f(l) = l**2 - 6*l - 21. Give f(-3). 6 Let i(x) = x**3 - 5*x**2 - 6*x + 6. Determine i(6). 6 Let r(d) = -d**3 - 10*d**2 - 11*d - 12. Give r(-9). 6 Let x(m) = -6*m - 263. What is x(-44)? 1 Let j(u) = -u**3
{ "pile_set_name": "DM Mathematics" }
**4 + b + 0*j**3. What is the first derivative of g(y) wrt y? 6*y**2 Let a(r) = -168*r + 2671. Let c(x) = 85*x - 1328. Let n(l) = 4*a(l) + 7*c(l). Differentiate n(u) wrt u. -77 Let k = -175 - -195. Find the second derivative of -6*v**5 - 3 - k*v + 1 + 43*v wrt v. -120*v**3 What is the second derivative of -125022*o - 272*o**4 + 125910*o + 1407*o**4 wrt o? 13620*o**2 Find the third derivative of 1844*o**3 - 13*o - 471*o**3 + 31*o**2 + 25*o**2 wrt o. 8238 Suppose -34*g + 266 = 96. What is the second derivative of 0 - 261*c**5 - 29*c - 1 + 1 + 25*c**g wrt c? -4720*c**3 Let y(c) be the second derivative of 33/2*c**2 + 0*c**4 - 51/20*c**5 + 42*c + 0 + 0*c**3. Differentiate y(s) with respect to s. -153*s**2 Suppose 2*m = o - 17, -6*o + 3*m + 48 = -3*o. Find the second derivative of -4*w + 44 - 49 - 44*w**2 + w**3 + o*w**2 wrt w. 6*w - 58 Let c(w) be the third derivative of -76*w**7/21 - 391*w**5/60 - 9372*w**2. What is the third derivative of c(y) wrt y? -18240*y Let m(u) be the first derivative of -9*u**4/2 + 6*u**3 + u**2 + 896*u - 2760. What is the second derivative of m(z) wrt z? -108*z + 36 Find the third derivative of -1 + 47882*q**2 - 2*q**3 - 1 + 1 - 47884*q**2 - 3 + 506*q**4 + 35*q wrt q. 12144*q - 12 Let l(j) be the first derivative of -64/5*j**5 + 0*j**2 + 0*j**4 + 226/3*j**3 + 148 + 0*j + 1/6*j**6. Find the third derivative of l(v) wrt v. 60*v**2 - 1536*v Let w(c) = 8424*c**2 - 2787*c - 5. Let v(b) = -2106*b**2 + 691*b + 1. Let x(y) = -9*v(y) - 2*w(y). What is the second derivative of x(u) wrt u? 4212 Let w(g) = -2*g**2 - 4*g + 72. Let b be w(5). Differentiate 203 - 77*o**2 + 53*o**2 + 63*o**2 + b*o with respect to o. 78*o + 2 Let n(s) = s**3 + 21*s**2 - 49*s - 52. Let x be n(-23). Differentiate x + 172*h**3 + 3361*h - 3361*h wrt h. 516*h**2 Let p(s) be the third derivative of 67*s**7/210 + 7*s**6/60 + s**5/6 + 103*s**3/6 - 325*s**2. Find the third derivative of p(c) wrt c. 1608*c + 84 Find the second derivative of -57880 + 57880 - 12247*g**2 + 4841*g wrt g. -24494 Find the second derivative of -8189*j + 713 + 8191*j - 762*j**5 - 23*j**5 wrt j. -15700*j**3 What is the second derivative of -7439*v + 1634*v**3 + 568*v**3 + 6253*v + 121*v**3 wrt v? 13938*v What is the third derivative of -a**4 - 192*a**5 - 31*a**2 + 30*a**2 + 49 + 3*a**4 - 2*a**4 wrt a? -11520*a**2 Let h(t) = -2*t**3 + 3*t + 2. Let x(r) = -135*r**3 + 14*r**2 + 2502*r + 20. Let d(z) = 10*h(z) - x(z). What is the second derivative of d(v) wrt v? 690*v - 28 Let v(x) = -2202*x + 147. Let w(b) = -1100*b + 69. Let z(i) = -4*v(i) + 9*w(i). What is the derivative of z(r) wrt r? -1092 Let q(z) = 2*z**5 + z**3 - z - 2. Let r(d) = -248*d**5 - 2*d**3 - 78*d + 4. Let w(m) = 2*q(m) + r(m). Find the second derivative of w(j) wrt j. -4880*j**3 Let n = 372 + -370. What is the second derivative of -6*u**4 - 2*u**3 + 11*u + n - 14*u**4 + 8*u + u + 0 wrt u? -240*u**2 - 12*u Suppose 5*a = 5*b + 25, 4*a + b - 25 = -a. Let x = a + -2. What is the second derivative of -l + 0*l + 2*l + l**x + 8*l wrt l? 6*l Let v(h) = 88*h + 482. Let t(j) be the first derivative of 11*j**2 + 121*j - 118. Let o(x) = -9*t(x) + 2*v(x). Differentiate o(l) with respect to l. -22 Let p = 7303 - 7303. Let i(u) be the third derivative of 1/15*u**6 + 0*u - 11/30*u**5 + 0*u**4 + p - 21*u**2 + 0*u**3. Find the third derivative of i(r) wrt r. 48 Let d(o) be the third derivative of -73*o**5/60 - o**4/24 + 861*o**3/2 - o**2 - 71*o. What is the derivative of d(t) wrt t? -146*t - 1 Let v(b) = 226*b**3 + 14*b**2 - 27*b + 2947. Let m(o) = 75*o**3 + 4*o**2 - 8*o + 982. Let s(f) = 7*m(f) - 2*v(f). Differentiate s(z) wrt z. 219*z**2 - 2 Suppose 0 = -182*g + 319*g. Let k(u) be the first derivative of -49 + 15/4*u**4 + 2*u**2 + u + g*u**3. What is the second derivative of k(t) wrt t? 90*t Suppose -7 = b + 5*p, 3*p + 1 = b - 8. What is the first derivative of -12 + 74*v**2 + b*v**2 + 41 + 47 wrt v? 154*v What is the third derivative of -276 - c**3 - 4237*c**2 + 276 + 1091*c**5 - 6475*c**2 + 3606*c**2 wrt c? 65460*c**2 - 6 Let m(v) be the second derivative of -73*v**3/2 + 205*v**2/2 - v + 219. Let w(r) = -219*r + 209. Let t(p) = -3*m(p) + 2*w(p). Differentiate t(n) wrt n. 219 Let j(n) be the third derivative of 3/40*n**6 + 0*n**3 + 0 - 20*n**2 + 0*n + 0*n**4 - 22/15*n**5. Find the third derivative of j(r) wrt r. 54 Let n(a) be the first derivative of 617*a**4/4 - 182*a**3/3 - 332. Find the third derivative of n(p) wrt p. 3702 Let p(y) = 66*y**2 - 18*y + 1532. Let c(r) = 6*r**2. Let q(d) = -10*c(d) + p(d). What is the first derivative of q(t) wrt t? 12*t - 18 Let i(a) be the third derivative of 913*a**6/30 - 1181*a**5/15 - 2825*a**2. Find the third derivative of i(p) wrt p. 21912 Let l = -48 - -49. Let f(o) = -o**4 + o**3 + o - 1. Let i(m) = 61*m**4 - m**3 - m + 102. Let u(x) = l*i(x) + f(x). What is the first derivative of u(d) wrt d? 240*d**3 Let q(w) = -8070*w**2 + w - 2721. Let n(p) = -12118*p**2 + p - 4081. Let m(r) = -5*n(r) + 7*q(r). Find the second derivative of m(y) wrt y. 8200 Let n(m) be the first derivative of 1034*m**7/7 - 455*m**3 - 293. Find the third derivative of n(r) wrt r. 124080*r**3 Find the first derivative of -985*j**2 + 388 - 5246*j + 2623*j + 2623*j wrt j. -1970*j Let d(h) be the first derivative of 5*h**9/336 + h**6/5 + 5*h**3/3 - h + 26. Let v(j) be the third derivative of d(j). Find the third derivative of v(r) wrt r. 2700*r**2 Find the second derivative of 398*i + 190*i**2 - 476*i + 278*i**2 - 6 wrt i. 936 Suppose -v + 4*v = 4*v. Let c(w) be the third derivative of 5*w**2 + 0*w + v*w**5 + 0*w**4 - 1/70*w**7 - 1/2*w**3 + 0 + 0*w**6. Differentiate c(b) wrt b. -12*b**3 Let u(s) = 3*s**3 - 2*s**2 - 2*s + 2. Let m(i) = 4818*i**3 - 12*i**2 - 10*i - 726. Let f(z) = m(z) - 5*u(z). What is the third derivative of f(j) wrt j? 28818 Let d = 306 - 434. Let j = 141 + d. What is the third derivative of j*k**3 + 4*k**2 - 62*k**3 - 14*k**2 - 7*k**2 wrt k? -294 Let u(q) = -285*q - 194. Let y(c) = -c + 1. Let g = 612 + -611. Let j(h) = g*u(h) - 6*y(h). Find the first derivative of j(s) wrt s. -279 Let m(b) be the third derivative of -2909*b**8/336 - 271*b**4/4 + 1791*b**2. Find the second derivative of m(t) wrt t. -58180*t**3 Let a = -326 + 377. Find the second derivative of -57*o**4 + 134*o**4 - o - a - 69 + 2*o**2 wrt o. 924*o**2 + 4 Let v be 2*(-5)/(-30)*213. Find the third derivative of -64*z**3 - v*z**3 + 155*z**3 + 107*z**2 wrt z. 120 Let g(d) be the first derivative of -1013*d**2/2 + 472*d - 258. Differentiate g(x) wrt x. -1013 Find the second derivative of 104*q**2 - 414*q**2 + 332*q**2 + 9*q + 898*q**2 - 192 + 738*q**2 wrt q. 3316 Suppose -119*j + 30 = -109*j. Find the third derivative of 43*k**2 - 316*k**3 + 261*k**j - 9*k**2 + 80*k**2 wrt k. -330 What is the first derivative of -9*d**2 + 94 + 454*d - 899*d + 9*d**4 - 9*d**4 + 446*d + 23*d**4 wrt d? 92*d**3 - 18*d + 1 Let q(b) = -8538*b**3 + 33*b**2 + 6318. Let r(p) = p**3 + 16*p**2 + 2. Let j(u) = -q(u) + 2*r(u). Find the third derivative of j(x) wrt x. 51240 Let b(i) = -629*i - 608. Let y(f) = -209*f - 204. Let h = 454 + -461. Let j(s) = h*y(s) + 2*b(s). Differentiate j(q) with respect to q. 205 Let m(o) be the third derivative of 1412*o**5/15 - 6893*o**4/24 + 42*o**2 + 30. Find the second derivative of m(t) wrt t. 11296 Let g = 48 - 46. Find the third derivative of 7*j**g - 19 - 6*j**2 - 3*j + j**5 + 19 wrt j. 60*j**2 Differentiate 290*w - 285*w - 10853 - 13461*w**4 - 6*w with respect to w. -53844*w**3 - 1 Let f(v) be the third derivative of -v**7/6 - v**6/120 + 329*v**3 + 744*v**2 + v. Differentiate f(h) with respect to h. -140*h**3 - 3*h**2 Let r(h) be the first derivative of -217*h**4/4 - 12873*h**2/2 - 6358. Find the second derivative of r(k) wrt k. -1302*k Let y(f) be the first derivative of f**6/90 + 19*f**5/120 + f**4/24 + f**3/3 - 5*f - 251. Let j(m) be the third derivative of y(m). Differentiate j(x) wrt x. 8*x + 19 Suppose -2*r = 4*b + b - 14, 3*r + 9 = 0. What is the third derivative of 4*o**3 - 4*o**2 + 44*o**2 + 3*o**2 - 5*o**b wrt o? -120*o + 24 Let v(h) be the second derivative of -1943*h**8/56 - 1523*h**4/12 - 559*h + 3. What is the third derivative of v(f) wrt f? -233160*f**3 Let v(i) = -4586*i**4 + i**3 - 2*i**2 - 1163*i - 2. Let g(b) = -2*b**4
{ "pile_set_name": "DM Mathematics" }
0. Let l = o - m. What is the units digit of l? 1 What is the hundreds digit of ((-11704)/24 + 19)/(6/(-261))? 3 Let o(z) = 4*z**2 + 12*z + 5. Let f be o(-3). Let m(b) be the third derivative of b**5/10 + b**4/12 - 14*b**3/3 - b**2. What is the hundreds digit of m(f)? 1 Let s = 0 + 5. Suppose 0*o - 3*g - 1035 = -s*o, 0 = -2*g. What is the hundreds digit of o? 2 Suppose 2*z = 4*a + z + 6, 0 = 4*z - 8. What is the units digit of (348 - -23) + 5/a? 6 Suppose 4*d = 5*n - 115 - 180, -n - d = -50. Let a = -95 + 102. Suppose -2*f + n = -a. What is the tens digit of f? 3 Suppose 44*n = -45*n + 93895. What is the thousands digit of n? 1 What is the tens digit of (-1 + (-36654)/4)*(-41 + 23 + 16)? 2 Let k be 0/(0 - -4) + -3 + 3. Suppose -17*l + 18*l - 194 = k. What is the units digit of l? 4 Let n = -46047 + 56629. What is the hundreds digit of n? 5 Let m(b) = 7*b**2 - 172*b + 2. Let x be m(17). Let k = x + 2077. What is the tens digit of k? 7 What is the hundreds digit of -12*(-14)/(-840) + ((-500208)/(-15) - 1)? 3 Suppose -4*k = -4*p + 844, -3*p = -4*k + 3*k - 627. Suppose -2*s - j - p = 0, -4*s = -6*j + 2*j + 404. Let l = s + 271. What is the tens digit of l? 6 Suppose -3*v + 75 + 9 = 0. What is the units digit of v - -376 - (-4)/1? 8 What is the thousands digit of 400/550 + (-2432860)/(-44)? 5 Suppose 855 = -5*l + 14*l. Let b = l - 74. What is the units digit of b - 20 - 3*-53? 0 What is the thousands digit of 8/(8*(-12)/(-95088))? 7 Let l(m) = -m**3 + 145*m**2 - 277*m - 929. What is the tens digit of l(139)? 9 Suppose 34*u = 38*u - 80. Suppose -u + 30 = 5*y. Suppose -y*c + c = -13. What is the tens digit of c? 1 What is the ten thousands digit of (-10)/4*(-752)/(-235) - -17809? 1 Suppose -92 = -6*w - 26. What is the tens digit of (538 - 0)/(11/w)? 3 Let w(b) = 14*b + 23. Let f be w(-6). Let z = -61 - f. Suppose 12*m - 6 - 6 = z. What is the units digit of m? 1 Let s = -10348 + 25430. What is the hundreds digit of s? 0 Suppose 7*f - 31020 = 7305. Suppose -f = -57*y + 52*y. What is the tens digit of y? 9 Let i(z) be the third derivative of -z**5/60 + z**4/6 + 21*z**2. Let p be i(2). Suppose -248 = -p*f + 3*d, 2*f + 4*d = 184 - 60. What is the tens digit of f? 6 Let b(y) = 3*y**2 - 133*y + 46. Let s be b(44). Suppose s*c - 1200 = 418. What is the hundreds digit of c? 8 Suppose -10*f + 1259 + 1881 = 0. Let h = f + -474. Let v = h - -319. What is the units digit of v? 9 Suppose -60*t = -i - 62*t + 29803, 0 = t - 2. What is the hundreds digit of i? 7 Suppose 2*t - 16*t = -3290. Suppose -8*m - 256 = -12*m. Let g = t - m. What is the hundreds digit of g? 1 Let f(n) = 13*n - 28. Let z be f(-6). Let c = z + 241. Suppose -2*o + 2*k = -92, -3*o + 4*k + c = -0*o. What is the tens digit of o? 4 Suppose 10 = -2*z, -20 = j - z + 36. Let g be 8/((-40)/(-75))*j/(-3). Suppose g + 67 = 4*v. What is the units digit of v? 3 Suppose 3312*d - 20 = 3307*d. What is the hundreds digit of (-380)/(-304) + 4211/d? 0 Let y(w) = -27*w**3 - w**2. Let h be y(-1). What is the hundreds digit of (-17 - -85)/(4/h)? 4 Suppose 5 = 2*w + 5*l, -l - 5 - 16 = -4*w. Let o = w - -62. Let v = o + 18. What is the tens digit of v? 8 Suppose 13*v = 5*h + 14*v - 23771, -2*v = 4*h - 19012. What is the thousands digit of h? 4 What is the hundreds digit of (-239 - -262)*493*1? 3 Suppose -2*f + 5*h = -26, 3*h + 4 = -2. Suppose -9*g + 129 = -f*g - 3*q, -2*q = 0. What is the tens digit of g? 2 What is the units digit of (-2712)/(-12)*246/4? 9 Let u = 63 + -59. What is the units digit of (-1)/u*10352/(-4)? 7 Suppose -167 = -7*s + 302. Let v = 94 - s. What is the tens digit of v? 2 What is the thousands digit of 21667 + -290 + -3*6? 1 Let q(v) = 159*v**2 - 64*v - 268. What is the units digit of q(-5)? 7 Let a(c) = -4*c**3 + 238*c**2 - 43*c + 18. What is the thousands digit of a(59)? 4 Suppose -2*b - 7*i + 4*i = -2451, -3*b + 3675 = 5*i. Suppose -b = -v - 419. What is the hundreds digit of v? 8 Suppose 68*l - 1170764 = -152*l + 1117236. What is the ten thousands digit of l? 1 Let a(x) be the third derivative of -x**7/315 + 17*x**6/720 - x**5/12 - 17*x**2. Let p(y) be the third derivative of a(y). What is the hundreds digit of p(-13)? 2 Let q be (-118639)/58*(1 - 3). Suppose -9*w + q - 176 = 0. What is the hundreds digit of w? 4 Suppose -6*t + 9 = -3*t. Suppose -t*p = p - 24. Suppose -p*g + 286 = 82. What is the tens digit of g? 3 Suppose -2*t + 1836 = 3*q, -4*q + 2661 = -3*t + 196. Suppose 3*x - 6*g - 908 = -4*g, -3*g + q = 2*x. What is the tens digit of x? 0 Suppose -67 - 241 = -2*q - s, -3*s = 0. Let g(c) = 62*c**2 + c + 2. Let x be g(2). Let z = x - q. What is the tens digit of z? 9 Let c(b) = b**3 - 41*b**2 + 181*b + 347. What is the units digit of c(54)? 9 Let b(j) = j - 3. Let a be b(5). Suppose 0 = -x + a*x + x. Suppose -5*u = -x*k - 2*k + 209, 105 = k - 2*u. What is the hundreds digit of k? 1 Suppose 0 = -4*w - 2*g + 20, 2*w + 2*g - 6*g = 0. Suppose 0 = -3*l + b + 28 - w, -b + 3 = 0. What is the units digit of ((-2)/4)/(-2 + l/6)? 1 Let p = 47907 + -19969. What is the units digit of p? 8 Let d be -137*((-5 - -2) + 2). Let v = 77 + -137. Let y = d + v. What is the units digit of y? 7 Let y = 118 - -3068. Suppose 12 + 29 = -3*v - 5*p, 0 = -v - p - 13. What is the tens digit of 4/v*y/(-6)? 7 Let i = -249 + 296. Suppose i*m - 67553 = -9790. What is the thousands digit of m? 1 Suppose -9*s = -474 - 4206. Let h = s + -203. What is the units digit of h? 7 Suppose -2*w = -y - 5, 2*w - 5*y = 36 - 19. What is the units digit of 11/22 - ((-6572)/8 + w)? 1 Let k = -2472 + 5039. What is the tens digit of k? 6 Suppose -4*a + 3*h + 80699 = -6440, a - 21801 = 4*h. Suppose 32*d - a = 9*d. What is the tens digit of d? 4 Let h be (0 - 3)*1224/(-108). Suppose 5*i - 5*s = 20, 2*i - 7 = i + 4*s. Suppose n = -4*u + 114, -u = -2*u - i*n + h. What is the units digit of u? 8 Let b = 87 - 49. Suppose -42*l = -b*l - 1920. What is the tens digit of l? 8 Let t(b) = 2*b + 11. Let h be t(5). Suppose -p - 5*u + h = 0, 6*p - 3*p + 5 = 2*u. Let q(y) = 78*y**3 + 2*y. What is the tens digit of q(p)? 8 Let c be 12616/6 - 3/((-63)/(-35)). Suppose -3*v - 429 = -m, 5*m - 13*v = -9*v + c. What is the units digit of m? 7 What is the tens digit of (-6 - (-3 + 0 - 627))*10? 4 Let i = 9691 + -5329. What is the tens digit of i? 6 Suppose 0 = 17*q - 25*q - 16. Let b(n) = -24*n**3 + 4*n**2 + 4*n + 5. What is the units digit of b(q)? 5 Let b = 14 + -71. Let d = -52 - b. Suppose 2*z - 291 = -5*c, 4*z = -d*c + 6*z + 299. What is the tens digit of c? 5 Suppose -2*l = 2*c - 18, 3*l = -c + 2*c + 11. Suppose 0 = 5*h + 3*k + k - 1164, -3*k = l*h - 1163. Suppose 0 = 10*s - 1072 + h. What is the tens digit of s? 8 Suppose 12580 = 12*z - 22052. Suppose -z = -8*r - 1214. What is the hundreds digit of r? 2 Suppose 47661 + 10069 = 5*u. What is the tens digit of u? 4 Let j be (-16872)/19 - (-1 + 2 - 0). Let v = -360 - j. What is the hundreds digit of v? 5 Suppose -3*v - 26 = -6*v - 2*c, 2*v - 22 = c. What is the hundreds digit of 3644/v + 8/((-160)/(-12))? 3 What is the hundreds digit of (-100)/2150 - (-1516360)/172? 8 Let l be ((-6)/(-4))/(205/82)*10. What is the units digit of (16 - l)*(-102)/(-12)? 5 Suppose -238 = 2*c + 3*z, 2*z + 572 = -5*c + 6*z. What is the tens digit of c/(-6)*(-1248)/(-52)? 6 Let g be -18 - ((-23)/7 + (-10)/(-35)). Let p = g + 40. Suppose 17*y - p*y = -560. What is the units digit of y? 0 Let c(t) = 14*t + 936. What is the tens digit of c(-50)? 3 Let y(i) = -i**3 - 4*i**2 + 4*i - 329. What is the hundreds digit of y(-19)? 0 Let j(n) = 22*n**2 + 11*n + 39. What is the units digit of j(-16)? 5 Suppose 4*i + 3*x = -3, -9*i = -14*i + 4*x + 4. Suppose -5*p - 6 = -3*f, i = -5*f - 0*p - p - 18. What is the units digit of ((-1)/f)/(2/894)? 9 Let v be (-9)/(-6)*-761*(10 - 8). Let r = -1374 - v. What is the hundreds digit of r? 9 Let j(p) = p**2 - 6*p + 3. Let w be 3 + 2/(-6) + (-20)/(-6). Let g be j(w). What is the units digit of -2*(4 - g)/(8/(-412))? 3 Let g be 1874 + (-7 - 12/(-3)). Suppose 9 + g = 10*c. What is the tens digit of c? 8 Suppose w - 4*m - 13097 = 0, 8*w = 5*w - m + 39317. What is the thousands digit of w? 3 Let h(t) = t**3 - 9*t**2 + 8*t - 16. Let i be h(9). Let y be (48/i)/(2/7). Suppose 3*o + 69 - 488 = 4*m, -5*m = -y*o
{ "pile_set_name": "DM Mathematics" }
Suppose f - x - 10 = 5, -5*x = -3*f + 51. Suppose -518 = -f*u + 202. Calculate the highest common divisor of 160 and u. 20 Let p be ((-2394)/(-168))/(6/872). What is the greatest common divisor of p and 38? 19 Let a = 57 - 73. Let c(j) = -5*j - 60. Let o be c(a). Let n be ((-6)/(-4))/((-3)/(-16)). Calculate the greatest common divisor of n and o. 4 Suppose -61*j + 97 = -25. Suppose -6 = -2*w - 2*i, -4*i = -2*w + i - 1. Let z be 0 + (-1)/(w - 3). What is the greatest common divisor of j and z? 1 Suppose 2*a + 7 = -g + 3*a, 5*g - 4*a = -40. Let f be (g/(-9))/((-8)/(-174)). Calculate the greatest common factor of f and 58. 29 Let w(f) = -f - 14. Let l be w(-16). Suppose 2*n = 4*h - 190, 4*h - l*n - 210 = -4*n. What is the greatest common factor of 170 and h? 10 Suppose -6*v - 2496 = -45*v. What is the greatest common factor of 448 and v? 64 Let a = 110 + -104. Let w be ((-3)/a)/((-1)/2)*28. Let x be (120/35)/(2/w). Calculate the highest common divisor of x and 36. 12 Suppose 7*j = 2700 + 6050. What is the greatest common factor of 150 and j? 50 Suppose 4*f + 108 - 388 = 4*z, -f + 5*z = -82. Suppose 0 = f*y - 70*y + 246. Calculate the greatest common factor of 41 and y. 41 Let v(p) = -4*p**3 + 5*p**2 + 2*p - 3. Let y be v(2). Let a be (-5 - y)*4*(-4)/(-6). What is the greatest common divisor of 36 and a? 4 Let r = 32 + -27. Let l be 2/(((-1 - r)/(-3))/(-4)). Let k be -12*2/l*2. Calculate the highest common divisor of k and 12. 12 Suppose 325*j - 349*j + 2208 = 0. Calculate the highest common divisor of j and 115. 23 Suppose 31*o = 35*o - 260. Suppose n - 4*z - o + 18 = 0, -5*z = -5*n + 250. What is the greatest common divisor of n and 255? 51 Suppose 13*p - 12726 = -9476. What is the greatest common divisor of 4 and p? 2 Let s be 18/63 + 4*(-3274)/(-28). Let r = s + -332. What is the greatest common factor of r and 102? 34 Suppose 5*z = -3*v + 413, -2*z + 5*v - 320 = -6*z. Calculate the greatest common factor of z and 68. 17 Suppose -232 = -3*x - 82. Let b be 6 - 4 - (1 + -2). Suppose 0 = -5*t + b*t + 250. Calculate the highest common factor of t and x. 25 Suppose 246*j - 24165 = -8321 + 15644. Calculate the greatest common divisor of j and 16. 16 Let q be ((-10542)/2259)/(2/(-45)). Let g be 2 - (1/1 - 0). Let r be 32 - 1*2/g. Calculate the greatest common divisor of q and r. 15 Let a be (28/(-14 - -10) + (-373 - 0))/(-1). Calculate the highest common divisor of 1780 and a. 20 Let v be -4*(30/(-75) - (-6)/(-10)). Suppose -16 = 5*b + v, -4*i + b = -468. What is the highest common factor of i and 29? 29 Let a(g) = g**3 + 38*g**2 + 165*g + 4. Let p be a(-33). What is the highest common divisor of p and 1172? 4 Let u be (-271)/(-5420) - (-4198)/40. What is the greatest common divisor of u and 805? 35 Let y be (-22222)/(-10) + (-31)/527 + (-146)/(-170). Calculate the highest common divisor of 1881 and y. 171 Let d = -68 + 63. Let x(n) = -191*n + 15. Let c be x(d). Suppose 0 = z + 5*k - 290, -c = -3*z + 3*k + 2*k. Calculate the greatest common divisor of 35 and z. 35 Let j be (-3 - (-3)/(1*-12))*-52. Let p = 93 - j. Let k = -16 - p. Calculate the greatest common factor of 30 and k. 30 Let a be (5974/(-6))/((286/78)/(-11)). What is the greatest common divisor of a and 1339? 103 Let g(n) = -158*n - 11322. Let x be g(-99). Calculate the greatest common factor of 5 and x. 5 Let u(c) = -946*c + 8. Let f be u(1). Let h = -898 - f. What is the highest common divisor of 45 and h? 5 Let d = -45 + 45. Suppose d = 5*n + 4*u - 370, 44 = -4*n + u + 319. Calculate the highest common divisor of n and 40. 10 Let h be 2613/8 + (-210)/(-560). What is the highest common divisor of 9 and h? 3 Suppose -2*a - 56 = -2*p, 0*p + 32 = -a - 3*p. Let v = a + 39. Suppose -i - 54 = -v*i. Calculate the greatest common divisor of 18 and i. 6 Let c(l) = -3*l**3 - 51*l**2 + 73*l + 1279. Let f be c(-17). Let p = 106 - 356. Let v = 516 + p. What is the greatest common divisor of f and v? 38 Suppose -2*t + 294 = n, -3*n + 8*n - 4*t - 1428 = 0. What is the highest common divisor of n and 18288? 144 Suppose 3*t - 8*t = -30. Suppose -t*s + 156 = 36. Suppose 3*h = -5*n + 25, 0 = 5*h - 10*h + n + 23. Calculate the greatest common divisor of h and s. 5 Let o = -166 + 119. Let z = o - -51. Let b be (-7)/112*4 - (-105)/z. Calculate the greatest common factor of b and 2. 2 Let i = -6579 - -6615. What is the highest common divisor of 732 and i? 12 Let h be -4*2/(-12) + 340/30. Suppose -h*d + 34*d - 924 = 0. What is the highest common divisor of 42 and d? 42 Let h(q) = -37*q + 27. Let u be h(-5). Suppose -216*i + 240 = -u*i. Suppose w = -4*a + 43, 5 - 14 = -2*a - 3*w. Calculate the highest common divisor of a and i. 12 Suppose 2*r + 0 = 6, -3*u + 5*r = -465. Let z = u - -10. What is the greatest common factor of 68 and z? 34 Suppose 0 = 5*n - 23 - 31 - 6. What is the highest common divisor of 148 and n? 4 Let v be 24/(-32) - (48/32 + 37482/(-8)). Calculate the highest common factor of v and 35. 7 Suppose -4*r + 415 = -225. Suppose 0 = -j, 0*h - h - h = -3*h + 3*j + 120. What is the greatest common factor of h and r? 40 Suppose 4*u - 16 = 4*q, 16 = 5*q - 4*u + 8*u. Let r be (-3 + q)/((-6)/64). What is the highest common factor of 12 and r? 4 Suppose 12 = -2*c, 3*y + 16 = -3*c + 142. Let q(g) = g**3 + 3*g**2 - g - 3. Let x be q(7). What is the greatest common factor of y and x? 48 Let z = -75 - -69. Let p be 6 + z + 1 + 2. Suppose p*o = 3*r - 57, o + 46 = 4*r + 3*o. What is the highest common divisor of 126 and r? 14 Let v(o) = -o**3 - 16*o**2 + 28*o - 138. Let q be v(-18). Let k(c) = 2*c. Let y be k(2). Let z = -1 + y. What is the highest common factor of z and q? 3 Let n = 58 + -35. Suppose 114 = -t + 5*m - 89, -5*t - 931 = -4*m. Let s = 367 + t. Calculate the greatest common divisor of n and s. 23 Let k(x) = x**3 - 4*x**2 - 2*x + 2. Let o be k(6). Let h = -1161 - -1750. What is the greatest common divisor of h and o? 31 Suppose 0 = 82*u - 115 + 33. Let k(b) be the third derivative of 11*b**6/120 + b**5/60 - b**2. Let g be k(u). What is the greatest common factor of 60 and g? 12 Let q(w) = -w - 14. Let d be q(-12). Suppose 0 = 19*g + 1060 - 661. Let b be 4*(-3 + g/d). Calculate the greatest common factor of b and 45. 15 Suppose -k = -2*k + y - 116, 2*k = -y - 244. Let z = k + 172. Calculate the highest common divisor of 13 and z. 13 Let z = -475 - -699. Let w = -179 + z. Calculate the highest common divisor of w and 30. 15 Let q(a) = 273*a - 1527. Let l be q(6). What is the greatest common divisor of 3256 and l? 37 Let u(b) = 3*b**2 + 3*b - 13. Let w be u(-8). Let i(d) = 10*d - 8. Suppose 0 = -z + 8 - 1. Let y be i(z). What is the greatest common divisor of y and w? 31 Let w(j) = 142*j + 2. Let d be w(2). Let c(p) = 2*p**2 + 197*p - 662. Let m be c(-102). Calculate the greatest common divisor of m and d. 26 Let v be (40/(-70))/2 + 5976/(-7). Let r = v + 1001. Calculate the greatest common divisor of 98 and r. 49 Let t be 2/((-16)/(-4972)) - (1 - (-15)/6). What is the highest common factor of 24 and t? 6 Let y be ((245/(-15))/7)/(2/(-12)). Suppose 0 = y*j - 92 - 34. Calculate the highest common divisor of 324 and j. 9 Suppose 3*i = 3, 0 = 5*a - 0*i - i - 164. What is the greatest common factor of 93 and a? 3 Suppose 9 = 24*t - 279. Let q be ((-2)/(t/1215))/(15/(-30)). Calculate the greatest common divisor of 180 and q. 45 Let b = -7004 + 7152. Calculate the greatest common divisor of b and 1073. 37 Let d = -301 + 421. Let w = d - -204. Calculate the greatest common factor of w and 12. 12 Let w be 12566/(-515)*(2/2 - -4). Let t = -22 - w. Suppose 0 = 4*q + t - 724. What is the highest common divisor of q and 12? 12 Let n be (-1)/(9 + (4 - 8) + 301/(-60)). Calculate the highest common factor of n and 588. 12 Let w(k) = 7*k**2 + 13*k - 31. Let f be w(2). Suppose -129 = -u + 11. Suppose 10*g - u = 1010. Calculate the highest common divisor of g and f. 23 Let d = 84 - 18. Let o = -362 + 235. Let c = -83 - o. What is the highest common factor of c and d? 22 Let r be (2/7)/((-354)/(-3717)). Let c(m) = 6*m**3 - m**2 - 5*m + 3. Let s be c(3). What is the greatest common divisor of s and r? 3 Suppose -2*t + 2*k = -8, 3*k - 12 = -t - 4*t. Suppose t*j + 20 = 35, -4*n + 4*j = -2896. Calculate the highest comm
{ "pile_set_name": "DM Mathematics" }
ded by -745 -719 Divide -2181070 by 218107. -10 Calculate -13 divided by -130. 1/10 Divide 693660 by -231220. -3 18 divided by -1654 -9/827 Divide 17529 by -3. -5843 Divide -972000 by -24300. 40 What is 462 divided by 451? 42/41 Divide -2 by -64489. 2/64489 Divide -83364 by 1. -83364 Divide 582593 by -1. -582593 Divide -62275 by 265. -235 244290 divided by 24429 10 What is -685 divided by 71? -685/71 What is -17694 divided by 6? -2949 What is 2627208 divided by 875736? 3 -611238 divided by -12 101873/2 -1540836 divided by -85602 18 Divide 11798 by -7. -11798/7 Calculate 599300 divided by 2305. 260 Calculate 3 divided by -1257987. -1/419329 444 divided by -1116 -37/93 What is 446355 divided by 1365? 327 What is -3703 divided by -8? 3703/8 3397452 divided by 849363 4 What is 963 divided by -6961? -963/6961 -63096 divided by 15774 -4 Calculate 181335 divided by 36267. 5 What is 17054 divided by -12? -8527/6 Divide 851 by -564. -851/564 Calculate 5 divided by -4674. -5/4674 What is 879920 divided by -219980? -4 Divide 76148 by -5. -76148/5 Calculate -929820 divided by 15497. -60 -110810 divided by 22162 -5 What is -1754039 divided by -4? 1754039/4 What is -322022 divided by -5? 322022/5 -115074 divided by 6 -19179 Divide 81 by 3345. 27/1115 What is -49892 divided by -24946? 2 What is 2035250 divided by 5815? 350 Divide 724687 by -23377. -31 What is -10 divided by 11925? -2/2385 What is -7 divided by 3512? -7/3512 -3 divided by 45472 -3/45472 Calculate -2 divided by -67209. 2/67209 What is 181 divided by 778? 181/778 -142623 divided by 3 -47541 What is 1 divided by 150947? 1/150947 Divide 38 by -6431. -38/6431 -2176 divided by -4 544 What is 2602452 divided by 433742? 6 Calculate -4076448 divided by -2038224. 2 Divide 7 by 2508. 7/2508 What is -5330 divided by -409? 5330/409 Divide -47 by -362. 47/362 Divide 0 by 833811. 0 0 divided by -10497 0 Calculate 4 divided by -7471. -4/7471 What is 95169 divided by -3? -31723 -22418 divided by -1019 22 42 divided by -445 -42/445 -141839 divided by 1 -141839 -1 divided by -14000 1/14000 21780 divided by -605 -36 Divide 2 by -2048597. -2/2048597 Calculate 269 divided by -924. -269/924 Divide -333750 by -375. 890 -98960 divided by -19792 5 -39437 divided by -113 349 Divide -851875 by 235. -3625 Divide 8136 by 8. 1017 Divide 1473498 by 13. 113346 What is 0 divided by -9492? 0 What is -8902301 divided by 3? -8902301/3 Calculate -11483 divided by -4. 11483/4 423660 divided by 6 70610 Divide -6049830 by -1209966. 5 -2156136 divided by -1 2156136 Divide 342170 by -68434. -5 Divide -7086 by 2. -3543 Calculate 199 divided by -986. -199/986 What is 8136 divided by -8136? -1 Divide 4148 by -1. -4148 Calculate -17719 divided by 1. -17719 Divide 5535685 by 5. 1107137 Calculate -29 divided by 63. -29/63 Calculate 63603 divided by -37. -1719 Calculate -9331 divided by -43. 217 Divide -46512 by -2907. 16 Calculate -240122 divided by 12638. -19 What is -31121 divided by 5? -31121/5 Divide 20032 by -8. -2504 Calculate -12648 divided by 204. -62 Divide -1218276 by 304569. -4 Divide -461979 by 51331. -9 What is -78160 divided by -19540? 4 1654215 divided by -2 -1654215/2 Divide 1112062 by 14. 79433 3 divided by -4013 -3/4013 Divide -233 by 15262. -233/15262 What is 3546 divided by -9? -394 Calculate 5523518 divided by 13. 424886 What is -138 divided by 253? -6/11 Divide 55476 by 134. 414 -448526 divided by -2 224263 Divide -4 by -14419. 4/14419 What is 318410 divided by -318410? -1 14959 divided by -2 -14959/2 Calculate -43844 divided by -21922. 2 Divide -21635 by 5. -4327 Divide 1810770 by 10. 181077 Calculate -426 divided by 2. -213 What is -1029 divided by 5? -1029/5 Calculate 5 divided by 17830. 1/3566 -26325 divided by 75 -351 -16523 divided by -403 41 -1793838 divided by -5641 318 Divide 2977062 by -4. -1488531/2 165 divided by -2694 -55/898 -118 divided by -94 59/47 Calculate -35352 divided by -982. 36 1127 divided by -23 -49 Calculate -5 divided by 736412. -5/736412 What is 114192 divided by 3172? 36 What is 1192 divided by -102? -596/51 135666 divided by -7537 -18 What is 141450 divided by -3450? -41 -313989 divided by -6 104663/2 Calculate -8 divided by 97881. -8/97881 What is -1643 divided by 16? -1643/16 What is -7332510 divided by -6? 1222085 Calculate -247905 divided by 16527. -15 340340 divided by -4 -85085 What is 0 divided by 11371? 0 Calculate 70970 divided by 2. 35485 Divide 161940 by -3. -53980 Calculate 37782 divided by -18. -2099 Divide 41463 by -3. -13821 Divide 52696 by -13174. -4 Divide -3 by -31012. 3/31012 Divide -3014 by -36. 1507/18 0 divided by 151598 0 Calculate -2467 divided by -28. 2467/28 Calculate -837248 divided by 26164. -32 Calculate 1572270 divided by 2. 786135 Divide 55642 by 27821. 2 Divide 365940 by -57. -6420 What is -513750 divided by 1370? -375 -6610 divided by 10 -661 Divide 185865 by -3. -61955 Calculate -7300 divided by -1460. 5 Divide -390 by -284. 195/142 Divide 38948 by -1391. -28 Divide 0 by 3886. 0 Divide -19 by -1310. 19/1310 Divide -49 by -4485. 49/4485 -2304 divided by -122 1152/61 15922 divided by -3 -15922/3 What is -30 divided by 11188? -15/5594 What is 98249 divided by 19? 5171 What is 368264 divided by 26? 14164 What is 3 divided by 15509? 3/15509 2981 divided by 20 2981/20 Calculate 44 divided by -1015. -44/1015 Calculate 3 divided by 85175. 3/85175 Divide -660 by -330. 2 Divide 340494 by 231. 1474 What is 1073 divided by 43? 1073/43 What is -324950 divided by -162475? 2 -1 divided by 1629 -1/1629 Divide -490 by -35. 14 427891 divided by 4 427891/4 28139 divided by 28139 1 What is -435 divided by -137? 435/137 Divide 4584 by -6. -764 Divide 0 by 1632. 0 42556 divided by -10639 -4 208145 divided by -665 -313 Divide 1186116 by -1164. -1019 Divide 154 by -88. -7/4 Calculate 356592 divided by 391. 912 What is -7 divided by 13400? -7/13400 Calculate 127632 divided by 4. 31908 What is -9194526 divided by -6? 1532421 Calculate 16 divided by 104149. 16/104149 What is 5 divided by 59342? 5/59342 What is 420398 divided by 1? 420398 Divide 82 by 398. 41/199 Calculate -1984048 divided by 8. -248006 75684 divided by 3604 21 What is -420350 divided by -84070? 5 Divide -1 by 240506. -1/240506 Calculate -15639 divided by -39. 401 Divide 564 by 5. 564/5 Divide 318564 by 6. 53094 -674640 divided by -5 134928 Calculate 84077 divided by 84077. 1 Divide -732 by -30. 122/5 Divide 22288 by 3184. 7 Divide -7 by 125712. -7/125712 What is 76297 divided by 76297? 1 11178 divided by 138 81 83625 divided by 27875 3 Divide -1141 by 49. -163/7 Calculate -19822 divided by 68. -583/2 644 divided by 92 7 Calculate 1190964 divided by 6508. 183 Divide -784 by 765. -784/765 Divide -341 by -36. 341/36 What is -12792 divided by 1? -12792 Calculate -482688 divided by -1676. 288 What is 404848 divided by 25303? 16 Divide -21980 by -4. 5495 -2 divided by 326785 -2/326785 Calculate -4 divided by -3447. 4/3447 What is 119436 divided by 8? 29859/2 Calculate 29492 divided by 2. 14746 Divide 50866 by -26. -25433/13 Divide -5424 by 226. -24 1071 divided by -119 -9 Divide -6177 by -38. 6177/38 Divide -863720 by -2. 431860 10 divided by -38402 -5/19201 What is -2 divided by -860017? 2/860017 Calculate 6174 divided by -147. -42 Calculate 52836 divided by 3. 17612 Calculate -20736 divided by 318. -3456/53 18 divided by 14454 1/803 Divide -9342 by 233. -9342/233 -18092778 divided by 6 -3015463 What is -3943386 divided by 93? -42402 Calculate 84480 divided by 512. 165 What is 2209 divided by -174? -2209/174 Divide -3111955 by 622391. -5 Calculate 4 divided by -669991. -4/669991 Calculate 207660 divided by 3461. 60 Calculate -320150 divided by 25. -12806 What is -733286 divided by -31882? 23 Calculate 2553740 divided by 35. 72964 9654 divided by 44 4827/22 Calculate -2 divided by -718878. 1/359439 Divide 519414 by 12367. 42 Divide 111562 by -10142. -11 88980 divided by -5 -17796 -5011234 divided by 53311 -94 Divide 49596 by 6. 8266 What is 464 divided by -464? -1 28702 divided by 226 127 Divide -46064 by 4. -11516 Calculate -112056 divided by 112056. -1 Divide -17856 by -3. 5952 -247012 divided by -61753 4 What is 0 divided by -106685? 0 -1157 divided by 923 -89/71 1831 divided by -930 -1831/930 Calculate 1112875 di
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 405 What is the square root of 192 to the nearest integer? 14 What is 1375 to the power of 1/3, to the nearest integer? 11 What is 721 to the power of 1/2, to the nearest integer? 27 What is 7264 to the power of 1/6, to the nearest integer? 4 What is the square root of 2952 to the nearest integer? 54 What is the square root of 21470 to the nearest integer? 147 What is 47293 to the power of 1/6, to the nearest integer? 6 What is 1526 to the power of 1/2, to the nearest integer? 39 What is the square root of 5743 to the nearest integer? 76 What is 1234 to the power of 1/4, to the nearest integer? 6 What is the square root of 54991 to the nearest integer? 235 What is the cube root of 3895 to the nearest integer? 16 What is 1025 to the power of 1/8, to the nearest integer? 2 What is 6179 to the power of 1/9, to the nearest integer? 3 What is 850 to the power of 1/2, to the nearest integer? 29 What is the ninth root of 3248 to the nearest integer? 2 What is the square root of 2494 to the nearest integer? 50 What is the seventh root of 23005 to the nearest integer? 4 What is the square root of 59711 to the nearest integer? 244 What is the square root of 99997 to the nearest integer? 316 What is 3486 to the power of 1/3, to the nearest integer? 15 What is 6792 to the power of 1/6, to the nearest integer? 4 What is the third root of 57735 to the nearest integer? 39 What is the sixth root of 1938 to the nearest integer? 4 What is 8253 to the power of 1/2, to the nearest integer? 91 What is 607 to the power of 1/2, to the nearest integer? 25 What is the cube root of 5663 to the nearest integer? 18 What is the eighth root of 1189 to the nearest integer? 2 What is 1197 to the power of 1/2, to the nearest integer? 35 What is the third root of 139376 to the nearest integer? 52 What is the square root of 1223 to the nearest integer? 35 What is 33572 to the power of 1/3, to the nearest integer? 32 What is 12900 to the power of 1/5, to the nearest integer? 7 What is the fourth root of 4318 to the nearest integer? 8 What is the third root of 2018 to the nearest integer? 13 What is 408 to the power of 1/2, to the nearest integer? 20 What is 1042 to the power of 1/8, to the nearest integer? 2 What is the third root of 1517 to the nearest integer? 11 What is the square root of 2301 to the nearest integer? 48 What is 6174 to the power of 1/2, to the nearest integer? 79 What is 1310 to the power of 1/9, to the nearest integer? 2 What is 306 to the power of 1/2, to the nearest integer? 17 What is the third root of 16485 to the nearest integer? 25 What is the cube root of 1380 to the nearest integer? 11 What is the sixth root of 494 to the nearest integer? 3 What is the fifth root of 4448 to the nearest integer? 5 What is the sixth root of 13105 to the nearest integer? 5 What is 18069 to the power of 1/3, to the nearest integer? 26 What is the eighth root of 12285 to the nearest integer? 3 What is 297 to the power of 1/3, to the nearest integer? 7 What is 990 to the power of 1/4, to the nearest integer? 6 What is the cube root of 64028 to the nearest integer? 40 What is 183 to the power of 1/2, to the nearest integer? 14 What is 3116 to the power of 1/2, to the nearest integer? 56 What is 18246 to the power of 1/2, to the nearest integer? 135 What is the square root of 29725 to the nearest integer? 172 What is the sixth root of 11792 to the nearest integer? 5 What is the third root of 3081 to the nearest integer? 15 What is the cube root of 11217 to the nearest integer? 22 What is 698 to the power of 1/3, to the nearest integer? 9 What is 47281 to the power of 1/2, to the nearest integer? 217 What is 2475 to the power of 1/3, to the nearest integer? 14 What is 2210 to the power of 1/7, to the nearest integer? 3 What is the seventh root of 7594 to the nearest integer? 4 What is 30755 to the power of 1/6, to the nearest integer? 6 What is 2072 to the power of 1/3, to the nearest integer? 13 What is 73988 to the power of 1/2, to the nearest integer? 272 What is the third root of 7753 to the nearest integer? 20 What is the ninth root of 42933 to the nearest integer? 3 What is the ninth root of 18763 to the nearest integer? 3 What is the third root of 171182 to the nearest integer? 56 What is 1035 to the power of 1/6, to the nearest integer? 3 What is the cube root of 2708 to the nearest integer? 14 What is 5750 to the power of 1/2, to the nearest integer? 76 What is the fourth root of 1682 to the nearest integer? 6 What is the square root of 37853 to the nearest integer? 195 What is the square root of 8429 to the nearest integer? 92 What is 1903 to the power of 1/3, to the nearest integer? 12 What is the cube root of 7302 to the nearest integer? 19 What is the square root of 7711 to the nearest integer? 88 What is the sixth root of 144 to the nearest integer? 2 What is the square root of 10671 to the nearest integer? 103 What is 120 to the power of 1/8, to the nearest integer? 2 What is the cube root of 66191 to the nearest integer? 40 What is 591 to the power of 1/10, to the nearest integer? 2 What is 67307 to the power of 1/2, to the nearest integer? 259 What is the seventh root of 3982 to the nearest integer? 3 What is 133 to the power of 1/9, to the nearest integer? 2 What is the square root of 1262 to the nearest integer? 36 What is 10370 to the power of 1/2, to the nearest integer? 102 What is the square root of 860 to the nearest integer? 29 What is 38934 to the power of 1/8, to the nearest integer? 4 What is 13464 to the power of 1/2, to the nearest integer? 116 What is 50164 to the power of 1/2, to the nearest integer? 224 What is 177052 to the power of 1/10, to the nearest integer? 3 What is the square root of 153 to the nearest integer? 12 What is 2128 to the power of 1/4, to the nearest integer? 7 What is the eighth root of 16006 to the nearest integer? 3 What is the square root of 5000 to the nearest integer? 71 What is the third root of 10683 to the nearest integer? 22 What is the seventh root of 732 to the nearest integer? 3 What is 18324 to the power of 1/3, to the nearest integer? 26 What is the seventh root of 8302 to the nearest integer? 4 What is the square root of 44362 to the nearest integer? 211 What is 220 to the power of 1/2, to the nearest integer? 15 What is the cube root of 42684 to the nearest integer? 35 What is 1187 to the power of 1/2, to the nearest integer? 34 What is the tenth root of 33606 to the nearest integer? 3 What is the third root of 170809 to the nearest integer? 55 What is the third root of 722 to the nearest integer? 9 What is 120480 to the power of 1/4, to the nearest integer? 19 What is 35634 to the power of 1/3, to the nearest integer? 33 What is the third root of 4065 to the nearest integer? 16 What is 171352 to the power of 1/2, to the nearest integer? 414 What is 7905 to the power of 1/5, to the nearest integer? 6 What is 2316 to the power of 1/6, to the nearest integer? 4 What is 5889 to the power of 1/3, to the nearest integer? 18 What is the cube root of 148340 to the nearest integer? 53 What is the cube root of 2255 to the nearest integer? 13 What is the seventh root of 38041 to the nearest integer? 5 What is the square root of 6124 to the nearest integer? 78 What is the cube root of 4545 to the nearest integer? 17 What is the fourth root of 3223 to the nearest integer? 8 What is 6603 to the power of 1/3, to the nearest integer? 19 What is the seventh root of 9721 to the nearest integer? 4 What is 2360 to the power of 1/3, to the nearest integer? 13 What is the fifth root of 22076 to the nearest integer? 7 What is the third root of 7858 to the nearest integer? 20 What is the square root of 2785 to the nearest integer? 53 What is the third root of 11646 to the nearest integer? 23 What is the fifth root of 1183 to the nearest integer? 4 What is the third root of 49486 to the nearest integer? 37 What is 18292 to the power of 1/3, to the nearest integer? 26 What is 198518 to the power of 1/2, to the nearest integer? 446 What is the fourth root of 3416 to the nearest integer? 8 What is 76972 to the power of 1/2, to the nearest integer? 277 What is 150 to the power of 1/8, to the nearest intege
{ "pile_set_name": "DM Mathematics" }
ue? (a) s (b) 0.2 (c) d b Let v = -0.17 - -0.2. Let l = -2.97 - v. Let g = -0.14 - -0.04. What is the second smallest value in g, l, 2/11? g Let m = 498 - 497. Which is the second biggest value? (a) 0.3 (b) 10/7 (c) m c Let g = 206 - 3503/17. What is the biggest value in -3, -1, g? g Let i = -2/83 + 172/249. Let h be 6/10*1/3. Which is the second biggest value? (a) h (b) -0.01 (c) i a Let x = 27.8 + -28.1. Which is the third biggest value? (a) 7 (b) x (c) 2 b Let k = -155 + 155. Let j = 5 - 1. What is the second biggest value in j, k, 1? 1 Let u = -0.0508 - 0.3492. What is the second biggest value in 2/7, u, 3? 2/7 Let u(f) = -2*f**3 + f**2 - 4*f - 3. Let q be u(0). Which is the third smallest value? (a) 0 (b) 4 (c) 1.7 (d) q c Suppose -r - 22 = 5*f, 3*f - 4*r = -2*r - 8. Let g = 24 + -35. Which is the third smallest value? (a) f (b) g (c) -2/13 (d) 0.3 c Let g be 958/18 + (-2)/9. Let a = g - 263/5. Suppose 0 = -x - 91 + 93. What is the third biggest value in a, x, 1/9? 1/9 Let i = -3.925 - 0.075. Let j = -4 - i. What is the second smallest value in -2, -1, -5, j? -2 Let x = -1.59 - -1.57. Which is the biggest value? (a) -0.5 (b) 0.1 (c) 2 (d) x c Let c(v) = -v**3 - 3*v**2 + 3*v - 2. Let j be c(-4). Suppose 4*i = -3*r - 11, 4*i + j = -2*r - 4. What is the second biggest value in 4, r, -2/7? -2/7 Let w = -30.5 - -31. Let u be (-27)/6*(-1)/(-6). Let z = -0.1 - -2.1. Which is the third smallest value? (a) u (b) w (c) z c Let f = -138.7 - -138.4. Which is the third smallest value? (a) 4 (b) f (c) -52 (d) -1 b Let x = -7.16 - -0.16. Let n = x - -6.7. What is the second biggest value in 0, -2/5, n? n Let p be (4/(-6))/((-14)/(-12)). Let o = 115.984 - 1.384. Let q = o + -115. What is the second biggest value in q, 0.3, p? q Let o = 19 + -19. Let p = o + 3. Let l = 3.3 - p. Which is the biggest value? (a) 4 (b) l (c) -4 a Let r = -10 - -5. Let h be 6*(90/12)/15*(-6)/225. Which is the smallest value? (a) r (b) -1/5 (c) h a Let q = 112.459 + -112.5. What is the second biggest value in 4, q, -0.7? q Let x be -2 + (2 + 0 - 132/20). Let l = 1549/230 - -3/46. Let j = l + x. Which is the biggest value? (a) -3/2 (b) j (c) -2/5 b Let f = -1694.75 - -1695. What is the third biggest value in 2/11, f, 4? 2/11 Let d = 0.04 + -4.04. What is the second smallest value in d, -2/55, 4? -2/55 Suppose -u - 57 = -4*u. Let i = 75 + -99. Let w = u + i. Which is the smallest value? (a) 1/2 (b) w (c) 0 b Let i = 0.8 - 1.8. Let x(f) = f**2 + 5*f + 4. Let o be x(-6). Suppose -3*j = 2*u - 0*j - o, -3*u + 12 = 3*j. What is the third biggest value in u, i, 1? i Suppose n + 0 - 1 = 0. Let y be (-174)/1806 + n/7. Let j = y + 121/172. Which is the smallest value? (a) -1/6 (b) -0.1 (c) j a Suppose -23*g = -14 + 129. Which is the second smallest value? (a) 21 (b) 4 (c) -1/10 (d) g c Let c = 4 + 4. Let w be c/(-14) - (-34)/35. Suppose -5*b + 6 = u, -2*b + 3 = -3*b + 4*u. What is the third smallest value in w, -0.1, b? b Let i = -115.9 - -122. Let b = 13.1 - i. What is the second smallest value in b, -2/3, -4? -2/3 Let q = 22 + -18. Suppose 0 = -0*z - q*z - 16. Which is the second biggest value? (a) -2 (b) z (c) 3 a Let b = 6.369 + -11.526. Let o = -0.157 - b. Let f = 0.2 - 1.2. What is the biggest value in f, 0.1, o? o Let b = 2 + -2. Let o = 1.7 + -4.7. Let h = -0.6 - 0.4. What is the third smallest value in o, h, b? b Let x = -126 + 125. Which is the smallest value? (a) 0.5 (b) 24 (c) x c Let w = -427 + 430. What is the second biggest value in 2, w, -105? 2 Let t = 766.7 + -767. Which is the second smallest value? (a) -0.4 (b) 14/13 (c) t c Let k = -17 + 29. Let u = -2/233 + 245/1398. Let q = -702 - -707. Which is the second smallest value? (a) u (b) q (c) k b Let i = -613 - -650. Which is the third biggest value? (a) -0.4 (b) i (c) 0 a Let f(z) = -4*z. Let x be f(-1). Suppose u = 3*u + 14. Let m = -102 + 102.2. Which is the third biggest value? (a) x (b) u (c) m b Let l = -1301 + 11732/9. Let v = l - 26/9. What is the third biggest value in -5, -0.4, v? -5 Let j be ((-12)/(-10) + 0)/2. Let w(m) = -m**3 - 3*m**2 - 3*m - 5. Let l be w(-2). Which is the second smallest value? (a) l (b) 2 (c) j c Let q be (-246)/(-54) + 24/54. Let z = 7 - 11. Let o = 2 - 1.8. Which is the second smallest value? (a) z (b) q (c) o c Let u(x) = 4*x**2 + 15*x - 34. Let v be u(2). Which is the smallest value? (a) 2 (b) v (c) 6 a Suppose 25*u + 14 = 18*u. Let t be 315/70 + 2*(-4 - u). Let y = -0.1 - -7.1. Which is the second smallest value? (a) y (b) 1/5 (c) t c Let i = -33 + 31. Let j = 5 - 2. What is the second biggest value in j, 0, i? 0 Let x = 323 + -2264/7. Which is the third smallest value? (a) 5 (b) -3 (c) x a Let v = -33.5 - -33. Let o = 0.93 + -0.13. Let t = 0.4 - o. What is the third biggest value in v, -2, t? -2 Let f = 0.1 + 0. Let m = -3.1 + f. Which is the fourth biggest value? (a) 0.2 (b) m (c) -1/3 (d) 0.06 b Let i = -3.33 - 93.67. Which is the smallest value? (a) -6/5 (b) -1/5 (c) i c Let y = 288 - 287.9. Suppose -3*h = -4*h + 2. Let f = -1 - 0. What is the third smallest value in y, f, h? h Let z = 452 + -9494/21. Which is the third biggest value? (a) -1 (b) z (c) -1/28 (d) 2/13 b Let r = 0 + -0.2. Let z(n) = -n**2 + 14*n + 20. Suppose -k = -9*k + 120. Let t be z(k). Which is the third biggest value? (a) t (b) -0.5 (c) r b Let s(x) = -x**3 - 16*x**2 - 14*x + 16. Let c be s(-15). Let h be ((-3)/9)/(4/6). Let y = 3.9 - 0.9. What is the biggest value in h, y, c? y Let r(l) = 2*l**2 + 32*l - 32. Let x be r(-17). What is the second biggest value in x, 0.02, -0.3, -3? 0.02 Let h = 73 - 43. Suppose 6*y = 5*y + h. Let x be 6/y + (-2)/5. Which is the second biggest value? (a) 0.4 (b) 2/7 (c) x b Let k = -66 - -70. Let g be (-3)/(-9)*3/(-4). What is the biggest value in k, 2/3, -1, g? k Suppose -20*r + 3*j + 14 = -21*r, 4*r - 5*j = -5. Which is the second biggest value? (a) r (b) 2/5 (c) -0.13 c Suppose 5 = -5*z, 3*m - 4*z + 6 - 1 = 0. Suppose -u - 15 = 5*k, -5*k + 6 = -4*u + 21. Which is the third biggest value? (a) -2 (b) -0.1 (c) u (d) m a Let f = -0.86 + -1.14. Which is the third biggest value? (a) f (b) 1 (c) -0.04 (d) 10/3 c Let m = 5 - 3. Let r be ((-7)/(-2))/((-144)/288). What is the third smallest value in -3, -0.2, r, m? -0.2 Let f = -6.7 - -7. Which is the second biggest value? (a) -1/2 (b) -0.02 (c) 1 (d) f d Let g = 2 - 0. Suppose -5*l - 16 = -z - 6, -10 = g*z. Let d(w) = -w**2 - w - 4. Let b be d(l). What is the second biggest value in b, 2/3, -3/8? -3/8 Let o = 4 + -8.9. Let d = 5 + o. Suppose 14*q = 32*q + 90. Which is the third smallest value? (a) d (b) q (c) 2/7 c Let q = 556 - 527. What is the third smallest value in 2/5, q, 1/2, 1? 1 Let d be ((10/4)/(-5))/1. Let t = -1 - -1. Let x = -5.1 - -5.2. What is the third smallest value in t, d, x? x Let g = 1 + -1.3. Let y = 0.29 + 9.21. Let p = 9 - y. What is the second smallest value in p, 1, g? g Let z = 64428/11 + -1134284/209. Let w = 430 - z. Which is the third biggest value? (a) 0.1 (b) 2 (c) 1 (d) w d Suppose -18*h + 19 = -17. Suppose -2 = 3*t - 17. Which is the third smallest value? (a) 3 (b) h (c) t c Let v = -29 - -1. Let y = -30 - v. Let w = y + -1. What is the second biggest value in -2, 2, w? -2 Let v = 91 + -90. Which is the third smallest value? (a) -5 (b) 2 (c) v b Let w = 5.083 - 1.083. Which is the biggest value? (a) -0.3 (b) 2 (c) w c Let o = 1592 - 7959/5. What is the fourth biggest value in -23, o, -0.4, -5? -23 Let w = -21 + 20. Let f = 78 + -74. What is the third biggest value in 0.5, w, 1/4, f? 1/4 Let y = -18/11 + 83/44. Let n be (6 - 3) + -1 + -5. Let z be 2/n*24/64. Which is the second smallest value? (a) z (b) y (c) 0.2 c Let z = -0.16 + -12.84. Let k = z - -8. Which is the second biggest value? (a) -2/15 (b) 0 (c) k a Let g(r) = r**2 + 3*r + 6. Let y(s) = s**2. Let f(u) = g(u) - 2*y(u). Let m be f(-2). What is the second biggest value in 3, -5, m? m Let u be (-1)/(-3) - ((-51)/9 + -2). Let n be (u*(-1)/6)/((-2)/(-6)). Which is the second smallest value? (a) 2/23 (b) 3 (c) n a Let b = -4.3 - -4. Suppose -4*d + 34 = -z, 4*z + 43 = 2*z + 3*d. Let g be 2/8 + z/(-4) + -4.
{ "pile_set_name": "DM Mathematics" }
est common divisor of 14030 and 115? 115 Calculate the greatest common divisor of 34281 and 7683. 39 Calculate the highest common factor of 416 and 940342. 26 What is the highest common factor of 1701 and 30861? 243 What is the highest common factor of 11 and 19547? 11 Calculate the highest common factor of 265 and 29945. 265 Calculate the greatest common factor of 3498 and 3102. 66 Calculate the highest common factor of 14690 and 3616. 226 What is the greatest common divisor of 85 and 51085? 85 What is the greatest common divisor of 16757 and 403? 13 What is the greatest common factor of 76816 and 2? 2 Calculate the highest common factor of 102 and 11866. 34 Calculate the highest common divisor of 217 and 1036. 7 What is the highest common divisor of 154540 and 40? 20 What is the highest common factor of 29 and 297511? 29 Calculate the highest common factor of 2173 and 5141. 53 Calculate the greatest common divisor of 2008 and 2701262. 502 What is the greatest common divisor of 218776 and 368? 184 What is the highest common factor of 754 and 1040? 26 What is the greatest common divisor of 324852 and 2996? 428 What is the greatest common factor of 423 and 28858? 47 What is the greatest common factor of 32535 and 38560? 1205 What is the greatest common divisor of 368951 and 33? 11 What is the highest common factor of 2916 and 220104? 108 Calculate the highest common factor of 6072 and 368. 184 What is the highest common divisor of 78098 and 1700? 34 What is the highest common divisor of 403 and 19656? 13 Calculate the greatest common divisor of 2344821 and 3. 3 Calculate the greatest common factor of 236 and 17051. 59 What is the highest common factor of 15 and 6363? 3 Calculate the greatest common factor of 1495926 and 5904. 738 Calculate the greatest common factor of 5217 and 48729. 111 Calculate the highest common divisor of 90 and 29718. 18 Calculate the greatest common factor of 1997586 and 12. 6 What is the greatest common divisor of 1505 and 1925? 35 Calculate the highest common divisor of 5727 and 36. 3 Calculate the greatest common divisor of 60347 and 777. 259 Calculate the greatest common factor of 1372 and 288806. 686 Calculate the greatest common factor of 18 and 4034754. 18 Calculate the highest common factor of 37 and 396751. 37 What is the highest common divisor of 1587 and 34983? 69 Calculate the greatest common divisor of 3913 and 12103. 91 Calculate the greatest common divisor of 3 and 7357. 1 What is the greatest common divisor of 96 and 12201552? 48 Calculate the highest common divisor of 4012 and 1292. 68 What is the greatest common divisor of 39 and 449488? 13 What is the greatest common factor of 5809 and 74? 37 Calculate the greatest common divisor of 77809 and 6256. 391 What is the greatest common divisor of 3655197 and 18? 9 What is the highest common divisor of 504900 and 90? 90 What is the greatest common factor of 16302 and 1804? 22 Calculate the greatest common factor of 1591 and 144738. 43 What is the greatest common divisor of 218 and 64? 2 Calculate the highest common factor of 502518 and 12810. 366 What is the highest common divisor of 116 and 261928? 116 Calculate the highest common divisor of 645755 and 9950. 995 What is the greatest common divisor of 13223 and 42? 7 What is the greatest common divisor of 6452 and 84? 4 What is the greatest common divisor of 662898 and 3? 3 What is the highest common divisor of 8996 and 18684? 692 What is the greatest common divisor of 935235 and 5? 5 What is the highest common factor of 16 and 124856? 8 What is the highest common divisor of 391 and 1921? 17 Calculate the greatest common factor of 970 and 297402. 194 Calculate the greatest common factor of 303928 and 24. 8 What is the highest common divisor of 74503 and 143? 143 Calculate the greatest common factor of 196 and 45388. 28 Calculate the greatest common factor of 468 and 37661. 13 Calculate the greatest common divisor of 42968 and 164. 164 Calculate the highest common factor of 97 and 415. 1 What is the highest common divisor of 32908 and 817? 19 Calculate the greatest common divisor of 188 and 27871. 47 Calculate the highest common divisor of 46 and 260291. 23 Calculate the highest common factor of 16 and 24048. 16 Calculate the greatest common factor of 606 and 11009. 101 What is the highest common factor of 2876 and 76? 4 Calculate the highest common factor of 948456 and 16. 8 Calculate the highest common factor of 31395 and 3315. 195 Calculate the greatest common divisor of 51545 and 244. 61 Calculate the highest common divisor of 162315 and 315. 45 Calculate the greatest common factor of 103 and 17. 1 What is the greatest common factor of 48 and 177144? 24 What is the highest common factor of 6148 and 15921? 29 What is the highest common divisor of 19344 and 240? 48 Calculate the highest common factor of 14763 and 12369. 399 Calculate the greatest common divisor of 27588 and 1694. 242 Calculate the highest common factor of 42 and 181416. 6 Calculate the highest common divisor of 340 and 186728. 68 Calculate the highest common divisor of 16523 and 3224. 403 Calculate the greatest common divisor of 456 and 1893464. 152 What is the greatest common divisor of 10428 and 138408? 948 What is the greatest common divisor of 7361510 and 1105? 1105 Calculate the greatest common divisor of 214894 and 556. 278 Calculate the highest common divisor of 18 and 7324. 2 Calculate the greatest common factor of 4979 and 9386. 13 Calculate the highest common divisor of 252 and 93114. 126 Calculate the highest common factor of 86372 and 205348. 572 Calculate the greatest common divisor of 52736 and 2369. 103 What is the greatest common factor of 174 and 131080? 58 What is the highest common divisor of 137 and 3933270? 137 Calculate the highest common factor of 1065634 and 76. 38 Calculate the highest common divisor of 358 and 633839. 179 What is the highest common divisor of 1064895 and 165? 15 What is the greatest common factor of 466939 and 454? 227 Calculate the greatest common factor of 2150 and 1870. 10 Calculate the greatest common factor of 14309 and 2419. 41 What is the highest common divisor of 270860 and 3770? 290 Calculate the greatest common divisor of 380 and 280. 20 What is the highest common divisor of 4472 and 1664? 104 Calculate the highest common factor of 2 and 32758. 2 What is the greatest common divisor of 19328 and 1664? 128 What is the greatest common divisor of 105877 and 2151? 239 Calculate the highest common factor of 3195 and 16407. 9 Calculate the greatest common factor of 87438 and 3186. 354 Calculate the greatest common factor of 385 and 664790. 35 What is the highest common factor of 231628 and 79? 79 What is the highest common factor of 259789 and 71? 71 Calculate the greatest common divisor of 104 and 595400. 104 Calculate the greatest common divisor of 894014 and 66. 22 Calculate the greatest common divisor of 192 and 159. 3 What is the highest common divisor of 26400 and 5700? 300 Calculate the greatest common divisor of 966147 and 273. 273 What is the greatest common factor of 5040 and 16240? 560 What is the greatest common divisor of 16218 and 4794? 102 What is the greatest common factor of 1375 and 12265? 55 Calculate the greatest common factor of 1544836 and 7472. 1868 What is the greatest common factor of 942348 and 264? 132 What is the highest common divisor of 53677 and 91? 13 What is the highest common factor of 3024 and 6111? 63 Calculate the greatest common divisor of 1691594 and 1730. 346 Calculate the greatest common factor of 17 and 37451. 17 What is the highest common divisor of 32641 and 119? 7 What is the highest common divisor of 1554625 and 250? 125 Calculate the greatest common factor of 84790 and 2867. 61 What is the greatest common divisor of 58 and 2987261? 29 Calculate the highest common factor of 283777 and 117. 13 What is the highest common factor of 986367 and 3? 3 What is the greatest common divisor of 1286 and 64? 2 Calculate the greatest common factor of 494 and 650. 26 Calculate the highest common divisor of 6682 and 3146. 26 What is the highest common factor of 10176 and 704? 64 What is the greatest common factor of 2219 and 85273? 317 Calculate the greatest co
{ "pile_set_name": "DM Mathematics" }
*q**2 + 162*q Differentiate 1457*k**2*o + 304*k*o - 9*k + 68612*o + 156 with respect to k. 2914*k*o + 304*o - 9 What is the third derivative of -432344539*p**5 + p**2 + 7814723? -25940672340*p**2 Find the second derivative of a**5 + 139380524*a**4 - 57241*a - 4 wrt a. 20*a**3 + 1672566288*a**2 Find the third derivative of 2*d**4*s**3 + 29994122*d**4*s + 2*d**2*s**3 + 2*d**2 - 52*d + 12*s**3 + s**2 - 249 wrt d. 48*d*s**3 + 719858928*d*s Differentiate 986247036*h - 1125773633. 986247036 Find the second derivative of 96682719*p**3 - 344674612*p. 580096314*p What is the third derivative of -1104741617*m**3 + 2*m**2 - 678990*m + 25? -6628449702 Find the third derivative of -30361378*t**3 - t**2 - 4949*t - 250 wrt t. -182168268 Find the second derivative of -127268*w**3 + 76*w**2 + 12281385*w wrt w. -763608*w + 152 What is the third derivative of -54*m**6 - 64148*m**4 + 2601*m**2 - 8*m - 7? -6480*m**3 - 1539552*m What is the second derivative of 2*f*r**2 - 425111*f*r + 3*f - 47842134*r**2 - 17*r wrt r? 4*f - 95684268 What is the first derivative of -216738*g**4*l + 346*g**4 + 288575434*l wrt g? -866952*g**3*l + 1384*g**3 What is the first derivative of -65*z**4 - 26555*z**3 + 9398503 wrt z? -260*z**3 - 79665*z**2 Find the first derivative of -127407*l**2 + 333*l*q - 14*q + 432756 wrt l. -254814*l + 333*q What is the derivative of -29914*o**2*q - 2*o**2 - o*q - 26*o - 5998157*q + 2 wrt o? -59828*o*q - 4*o - q - 26 Find the third derivative of -296630189*l**3 + 74339422*l**2 wrt l. -1779781134 What is the second derivative of -112*s**4 + s**3 + 121301*s**2 - 5318*s - 9196? -1344*s**2 + 6*s + 242602 Find the second derivative of -6863802*g**4 - 3946701*g wrt g. -82365624*g**2 Find the second derivative of -8434213*y**3 + y**2 + 51117036*y - 2. -50605278*y + 2 What is the second derivative of -2739435*o**5 - 492*o + 11619 wrt o? -54788700*o**3 Find the second derivative of 335328782*q**3*x + 2*q**2*x**3 - 8707*q*x**3 + 35*q*x - 6*q - 2*x**3 + x**2 wrt q. 2011972692*q*x + 4*x**3 What is the second derivative of -249169*o**3*v + 7*o**2*v - o*v - 749*o - 34*v - 6 wrt o? -1495014*o*v + 14*v Find the second derivative of -2218*z**5 + 1531*z**4 + z - 7043691 wrt z. -44360*z**3 + 18372*z**2 Find the second derivative of 398026*j**2*k**2 + j**2*k - j**2 - j*k - 4*k**3 + 732831 wrt k. 796052*j**2 - 24*k Differentiate -3496*b**2*u - 519*b**2 + 163*u - 115594 with respect to b. -6992*b*u - 1038*b What is the third derivative of 1533*u**5 - 17135*u**3 - 2*u**2 - 256942*u + 22 wrt u? 91980*u**2 - 102810 What is the second derivative of 202175069*r**2 - 10*r + 7506666? 404350138 What is the first derivative of -391346557*p - 350104763 wrt p? -391346557 Find the second derivative of -146236738*j**3 + 45349216*j - 2. -877420428*j What is the second derivative of -2168309*r**3 + 277*r - 6482 wrt r? -13009854*r What is the second derivative of -19*q**5 - 2137050*q**4 + 198731055*q wrt q? -380*q**3 - 25644600*q**2 What is the third derivative of -23021227*r**3*x**4 - r**3*x**2 + 48700*r**3*x + 4*r*x**2 + 2*r + 17*x**4 - 3 wrt x? -552509448*r**3*x + 408*x What is the third derivative of -2953*c*j**3 + 4612*c*j**2 + 44*j**3 - 34*j**2 wrt j? -17718*c + 264 Differentiate -941560*a**4*z**3 - 6*a**4 - 16*z**3 - 2*z**2 + 82415*z - 4 wrt a. -3766240*a**3*z**3 - 24*a**3 Find the second derivative of -59309702*y**2 + y + 270335103. -118619404 What is the second derivative of -883837*q**2 + 14232989*q wrt q? -1767674 What is the third derivative of 1307*i**5 + 10152*i**4 + i**3 + 320840*i**2 + 6*i - 2 wrt i? 78420*i**2 + 243648*i + 6 What is the second derivative of -3886531*r**2 - 7854219*r wrt r? -7773062 What is the first derivative of 8209*b*l + 588*b + 3*l - 3147903 wrt b? 8209*l + 588 Differentiate -8514056*r**2 + r + 236790831 with respect to r. -17028112*r + 1 What is the derivative of 24278*g**2*l**2 + 77025*g**2 + 491*g*l**2 - 101*g wrt l? 48556*g**2*l + 982*g*l Find the second derivative of -4168*x**5 - 49512*x**2 - 429868830*x. -83360*x**3 - 99024 Find the second derivative of 9734*n**4 + 9*n**3 + 15*n**2 + 15*n - 2610517. 116808*n**2 + 54*n + 30 Differentiate 152133536*q**2*y - 78863491*y with respect to q. 304267072*q*y Find the second derivative of -13375337*r**2 + 15063424*r wrt r. -26750674 What is the third derivative of -2860646*j**3 - 9502165*j**2 wrt j? -17163876 What is the second derivative of -666865597*g**2*i**2 - g*i**2 - 9*g*i + 2834*g - 277*i**2 wrt g? -1333731194*i**2 Find the third derivative of 1798*d**5 - 493*d**4 - 11910246*d**2. 107880*d**2 - 11832*d Find the third derivative of 1460722*d**3 - 6343937*d**2 wrt d. 8764332 Find the third derivative of 68227219*s**5 + 36763*s**2 - 278*s. 4093633140*s**2 What is the third derivative of -3897018*t**3*w**4 - 2*t**3 + 1198*t**2*w**2 - 97*t**2*w - 2*t*w**5 wrt w? -93528432*t**3*w - 120*t*w**2 What is the second derivative of -122789*f**2*v**2 - f**2 - 11*f*v**2 + f - 2371150*v wrt v? -245578*f**2 - 22*f Differentiate 171245*u**2*x**2 - 49*u**2*x + 203671*u**2 + 70 with respect to x. 342490*u**2*x - 49*u**2 Find the second derivative of -24*d**2*i*o**3 - 2778974*d**2*i + 3*d*i*o**2 - 5*d*i*o + 770*d*i - 159*d*o**3 + 9 wrt d. -48*i*o**3 - 5557948*i What is the second derivative of -500630557*t**2 - 874226488*t? -1001261114 Find the third derivative of -15065*i*r**6 + 2779*i*r**2 - 58*i*r - 147*r**5 + 4*r wrt r. -1807800*i*r**3 - 8820*r**2 What is the second derivative of -255943*y**4 - 293*y**3 - 2*y**2 - 3507522*y wrt y? -3071316*y**2 - 1758*y - 4 Differentiate -378396*p*u - p*x + 47171*p - 8*u*x + 9*x - 6 with respect to u. -378396*p - 8*x What is the second derivative of -1451749359*v**3 - 249929019*v - 1 wrt v? -8710496154*v What is the second derivative of -l**4*x**2 + 55097018*l**4 - 3*l*x**2 + 1180*l*x + l + 2*x**2 - 8*x wrt l? -12*l**2*x**2 + 661164216*l**2 Differentiate -2591*q**2*v - 3*q**2 - 2*q*v - 1292*v + 40901 wrt v. -2591*q**2 - 2*q - 1292 What is the third derivative of 43918*o**3*x - 3*o**3 - 6*o**2*x - 2895*o**2 + 2*o*x + 2*o - 4 wrt o? 263508*x - 18 Find the second derivative of 14908243*a**3 - 3205286*a wrt a. 89449458*a What is the derivative of -211*f**2 + 1118020*f - 807633184? -422*f + 1118020 Differentiate -5940951*s**3*u - 1063*u - 2716 with respect to s. -17822853*s**2*u What is the second derivative of -2*n**3 - 10062948*n**2 - 35218666*n wrt n? -12*n - 20125896 Find the third derivative of 959538502*q**4 + 4471*q**2 + 93046 wrt q. 23028924048*q What is the third derivative of -295194*x**4 + 4*x**3 - 1594*x**2 + 3*x - 16? -7084656*x + 24 What is the second derivative of 1686*l**2*u - 2897*l**2 - 2*l*u + l - 133179*u - 1 wrt l? 3372*u - 5794 Find the third derivative of -2138886*b**3*s + b**3 - 20*b**2*s + 3*b + 189395 wrt b. -12833316*s + 6 What is the third derivative of 25985572*c**5 - 48317740*c**2 wrt c? 1559134320*c**2 Find the third derivative of 189181665*j**6 + 192375539*j**2 - 2*j wrt j. 22701799800*j**3 Find the third derivative of -393491771*o**5 + 539*o**2 + 174609 wrt o. -23609506260*o**2 Differentiate -655652*n*u**2*v**3 - 92*n*u**2*v + 2*u**2*v**2 + 20471*u**2*v - 585*v**3 wrt n. -655652*u**2*v**3 - 92*u**2*v Find the third derivative of -4762119*d**5 - 23*d**2 + 50855*d wrt d. -285727140*d**2 Find the third derivative of -24*d**6 + 2399473*d**3 + 921*d**2 + 228. -2880*d**3 + 14396838 What is the derivative of 583072511*s - 905789420? 583072511 What is the third derivative of -452275389*y**6 - 39*y**2 + 77710*y + 10 wrt y? -54273046680*y**3 What is the third derivative of 11407074*v**3 - 2*v**2 - 60400*v wrt v? 68442444 What is the third derivative of -180322282*o**5 - 91*o**2 + o + 47149? -10819336920*o**2 What is the third derivative of -62862*l**3*r**2 + 2*l**3*r - 3*l**3 + 2*l**2*r**2 - 2*l*r**2 + 2582*l*r - 12*l + 2 wrt l? -377172*r**2 + 12*r - 18 Find the first derivative of 4063492*w**3 + 13192018. 12190476*w**2 Differentiate a*f**2 - 11170*a + 11603*f**2 - 175*f + 57 with respect to f. 2*a*f + 23206*f - 175 What is the third derivative of 308440738*u**5 + 8*u**2 + 520705? 18506444280*u**2 What is the second derivative of 1723564*i**2*o - i - 6538*o - 29 wrt i? 3447128*o Find the second derivative of -84*c**4*h - 1516*c**2*h - 105066*c - 10*h wrt c. -100
{ "pile_set_name": "DM Mathematics" }
4.12 + f. Which is bigger: 2 or t? 2 Let o = -6007 + 7978. Are -1 and o equal? False Let o(i) = -10*i**3 + 19*i**2 - 2*i + 4. Let q(y) = -3*y**3 + 6*y**2 - y + 2. Let r(v) = 2*o(v) - 7*q(v). Let j be r(5). Which is greater: 35 or j? 35 Suppose -4*v + 29 = -5*q, -3*q + 0*q = 4*v + 11. Let f be q - (-3412)/(-36) - (-8)/(-36). Is 0 at most f? False Let p = -21 + 20. Let c = 2/29263 - -56412/30930991. Which is bigger: c or p? c Let m = 1195 - 2749. Which is bigger: m or -1553? -1553 Let r = -383/884 - -627953/1105. Let n = -568 + r. Are 0 and n equal? False Suppose -3*v - 24 = 15*n - 18*n, -5*n - 3*v = 0. Suppose -n*w = 5*z - 5*w - 246, -w - 3 = 0. Is 2 at most z? True Let j be (-3)/(-7)*(6 + (-2)/(-2)). Suppose 5*x + 4*d = 26, d - 3 = -4. Suppose j*i + 3 - x = 0. Are 2/33 and i unequal? True Let o be 15/1770*13563/(-30). Let y = o - -79/20. Is 0 < y? True Suppose -6*d = -2*d + 8. Suppose -22*h + 1207 = 1119. Let j be 1*d/h*0. Is j bigger than -5/44? True Let k be (-26)/(-8) + 1/(-4). Suppose 0 = 4*r + 3*m + 694, -2*r - 349 - 9 = -4*m. Let q be ((-275)/r)/((-1)/(-2)). Which is greater: k or q? q Let r = 149 - 240. Let x = r + 116. Which is smaller: 23 or x? 23 Suppose -25 = -5*b, -114*u - 35 = -119*u + b. Suppose 5*w - 4*z - 19 = 2*w, 4*w = 2*z + 22. Suppose 35 = w*g - 4*k, -4*k + k = g - 7. Which is bigger: g or u? u Let m(i) = -2*i**2 + 12*i + 13. Suppose 82 - 16 = 3*h - v, 3*v - 44 = -2*h. Let o = h + -15. Let n be m(o). Which is smaller: 13 or n? n Suppose 68 = 5*u + 348. Let f(d) = d**3 - 23*d**2 + 18*d + 78. Let x be f(22). Let j be (-2870)/u*(-2)/x. Which is smaller: j or 9? 9 Let q = 2/619 - 10533/3095. Suppose 17*n = 6*n + 22. Let u be (-1 + n)*(21 + -3)/(-9). Do q and u have the same value? False Suppose 5*f - 4*v - 11 = 1, -2*f + 10 = v. Suppose -g - 47 = l, -f*g + 3*l = -5*g - 57. Which is bigger: -41 or g? -41 Suppose -25 = 9*n - 34*n. Let m be (1/2)/(n - -14). Is 0 <= m? True Let i = 22.39 + -22. Let x = i - -0.01. Let w = 5660/7 + -808. Are w and x non-equal? True Let r(l) = l**2 + 40*l + 75. Let k be r(-38). Let b be ((-100)/(-16) - 6)/(5 - k). Is b smaller than -2/5? False Suppose 0 = 2*q - 2*s - 80, 4*s = -4*q + 161 - 1. Let n be ((-428)/q)/(7/(-2) + 4). Which is bigger: -21 or n? -21 Let i = 125 + -85. Suppose -b + c = -23, -c = 3*b - b - i. Let t = 0.03 + 2.97. Which is bigger: b or t? b Let b = 158 - 109. Let u = b + -79. Let x be 1 + u/(-12)*(-10)/19. Is x >= -1? True Suppose j = z + 42, 2*z + 0*z = 5*j - 99. Let l(g) = g**2 - 6*g + 26. Let c be l(-11). Let d = -247 + c. Is d less than or equal to z? False Let k be (-1)/2*(18 + 0). Let a be k/12*(0 - 8). Which is smaller: 0 or a? 0 Suppose -19*s = -28*s - 162. Let g = s - -10. Which is smaller: g or -9? -9 Let w = 205.9 + -227.037. Let k = 0.057 + w. Let d = k - -21. Which is smaller: -3 or d? -3 Let b = 78 - 148. Let g = -188 - -189. Suppose 0 = -3*w - g + 4. Which is smaller: w or b? b Suppose -2*w - 4 = 0, 5*r + 6*w - 2*w = 1357. Suppose 0 = -7*v - 273 + r. Which is smaller: -10/21 or v? -10/21 Suppose -4 + 12 = -n. Let x = 128 + -123. Which is smaller: n or x? n Let h(t) = t**3 - 11*t**2 + 9*t + 7. Let v be (5/(-4))/((25/(-40))/5). Let q be h(v). Let n be q/(-15) - (78/(-70))/3. Which is smaller: 2 or n? n Let r be 5/(-40)*4*6. Let g(h) = -h**3 - 3*h**2 - 9*h - 27. Let y be g(r). Which is smaller: 22 or y? y Suppose -5*j + g + 378 = -2473, 1713 = 3*j - 3*g. Let b = -271 + j. Are b and 300 equal? False Let z be (2/3)/((-4)/6). Let c = 559 + -614. Let g be 46 + c - (-165)/18. Which is greater: z or g? g Let y be 6/(-10)*-3*(-605)/(-33). Suppose -5*p + 62 = -y. Which is smaller: p or 18? 18 Suppose 13*c = 15*c + 2. Which is smaller: -4/10291 or c? c Suppose -1 = 3*c - 1. Suppose c = 2*n - 3*s + 8313, -2*n - 4747 - 3590 = 5*s. Let t = n - -37487/9. Which is smaller: t or 4? 4 Suppose -3*y = -2*u - 28, -y + 11 = 2*u - 1. Suppose -y*w - 2 = -82. Suppose -10 = 3*v + w. Which is greater: v or -0.3? -0.3 Suppose 37*d = 94476 - 93662. Let c = 10 + 6. Are d and c unequal? True Suppose 5*r = 41 + 19. Suppose 0 = 11*q - 13*q - r. Is -9 smaller than q? True Let h be 2*(-3 - -1)/(-16 - -14). Let n(x) = -42*x - 475. Let z be n(-12). Which is bigger: h or z? z Let b be (-378)/(-72) - (2/8 + 0). Let v be (2/b)/((-5)/375). Let m be ((-8)/(-20))/(24/v). Do m and 1/4 have different values? True Let u = -3557.981 + 3558. Which is smaller: u or -1? -1 Let x be (-12)/(-3) - (-1 + 4). Suppose 2*j = 4*i - 4, 13*j - 9*j + 3*i = 3. Suppose y - 5*b - 16 = j, -b + 0 = 2. Which is smaller: x or y? x Suppose -4*p + 23 = y, 30*y - 20*y - 3*p = -28. Let l = 1 - 1. Is l >= y? True Let p(f) = -5*f + 20. Let m be p(13). Let w = 69 + m. Let k be (-8)/w*3/33. Which is bigger: 1 or k? 1 Suppose -113 = 37*t - 70 + 142. Which is greater: -156/25 or t? t Let a be (-3)/23*84/1386. Is a < -1? False Let j = 939.018 + -939. Is j not equal to -53/4? True Suppose -5*x - 52 = 19*x - 28. Which is smaller: x or 1/3515? x Let o(a) = -a**3 - 7*a**2 + 9*a + 5. Let p be o(-8). Let y be p/((-6)/(-4))*22. Let f be (y/(-12))/(1/3). Does 10 = f? False Let b = 628/7 + -45167/504. Which is smaller: -0.1 or b? -0.1 Suppose -3*t - 12 = -30*y + 27*y, t = -3*y. Is y > -3/6046? True Let v = -126 + 312. Is 2782/15 >= v? False Let y be 3 + 266/(-24) - (-3)/36. Let v be 63*((-80)/(-30))/y. Is v at least -9? False Suppose 0 = 3*m + 2*m - 19995. Suppose -3526 = -5*i + m. Let b be (i/(-378) - -4)/(2/8). Is b equal to 0? False Let f = 2.01 - -71.29. Let m = 73.4 - f. Is m bigger than 33? False Suppose -1127 - 168680 = 154*v + 319*v. Suppose 0 = -j - 0*s - 3*s - 374, 0 = -4*s - 20. Is j less than or equal to v? True Let m = 100937449/111 + -431830975763/475080. Let y = -3053/8 + m. Is -1 <= y? True Let j = 5183 + -4855. Are 363 and j equal? False Let q = 9852 + -9833. Which is greater: 787 or q? 787 Let t be -2 + ((-2)/3)/((-1)/3). Suppose t = -8*d - 160 + 16. Let i be 57/d + 1 - 4/(-2). Is 1 at least i? True Let y = -133 + 459. Let x = -342 + y. Is x bigger than -2? False Let v = -41/9 - 143/18. Which is smaller: -13 or v? -13 Let z be (-7 + 4 - -4)*624. Let d be (-6)/10 + z/40. Suppose 3*v - d = v + 5*b, 5*b = -v + 30. Which is bigger: -1 or v? v Let m be 12/66 - 54/(-66). Let h be (7086/1)/(-2 + 19). Let k = h + -417. Is m less than or equal to k? False Let d = -35041 + 32877. Which is smaller: -2165 or d? -2165 Let t be (34/(-68)*(12845 - 1 - 2))/(-1). Which is bigger: 6422 or t? 6422 Suppose -4*i - 4*r + 52 = 0, -4*i + 19 + 37 = 5*r. Suppose i*t - 7*t + 8 = 2*x, -12 = -5*x + 3*t. Let n = 47/5 - 173/20. Are x and n non-equal? True Let o be -1 - (2 + -2 + 0). Let q = -599216 - -19774115/33. Are q and o nonequal? True Let t be (7443/54)/((-2)/(-4)). Let i = t - 275. Suppose -3 = -4*q + 5. Is i at least q? False Let j = -2155/15006 + -1/366. Suppose -f + 19 = 2*w, f - 10 = 3*f. Let x be (1 + (-24)/w)*2/2. Which is greater: x or j? j Let t be 13/(52/(-420))*54/(-18). Which is bigger: t or 320? 320 Suppose -3*q - 1549 = 5*b, -4*b + 388 + 134 = -q. Let t = q - -784. Is -0.1 >= t? False Let g be (-2)/(-16)*(0 - -1). Let v = 1.203 + -100.503. Let s = 99 + v. Is s < g? True Suppose -2 = -0*u + 2*u, 5*d = 2*u + 287. Let v = 413/2 + -263. Let a = d + v. Are a and 42 equal? False Let c be -2*(0 + -1) + 3. Let o = 33 - 26. Let i(g) = -g**2 - 5*g + 92. Let b be i(o). Which is smaller: c or b? c Let t = -1369.8 + 1505. Which is smaller: t or 3? 3 Let g = -0.7 + -0.3. Let n = 442/81 + -2453/405. Is n > g? True Suppose 8*l - 1 = -9. Let n = -2594/221 - -176/17. Is l at most n? False Let q(r) = r**2 - 8*r + 17. Let o be q(5). Let k be o - -1*(-1 - -1). Let b be (-671)/(-495) - (-2)/10. Is b > k? False Let m(k) = k - 6. Let f be m(5). Let v(q) = -2*q - 27. Let t be v(-17). Let c be 520/96 - t - 3/(-4). Which is smaller: c or f? f Suppose 2236 = -41*o - 45*o. Let u = -15 - -35. Suppose 3*w - u = -w, 5*t = -w - 120. Is o <= t? True Let h(a) = -2*a**3 - 26*a**2 + 93*a + 522. Let i be h(-20). Is 4262 at most as big as i? True Let w = 322 - 239. Let n = -5.5 + 3.5. Are w and n unequal? True Suppose -4*b = -2*q - 3146, 5*b - 1324 - 240 = q. Which is bigger: q or -1580? q Let s be 6 - 81465/10185 - -2. Which is bigger: 4 or s? 4 Suppose 0 = 3*r + z - 1, 8*r - 12
{ "pile_set_name": "DM Mathematics" }
remainder when c is divided by 21 + -2 + 1 + 2? 18 Let q = 209 + -98. Suppose o + u = 10, o + 3*u - 27 + 9 = 0. What is the remainder when q is divided by o? 3 Let w(q) = 2*q**3 + 7*q**2 - 32*q + 15. What is the remainder when w(8) is divided by 19? 15 Suppose n = -2, 4*u - 2*n - 50 = 34. What is the remainder when 31 is divided by u? 11 Let h = 53 + -46. Let a(z) = 2*z**3 - 14*z**2 + 2*z + 14. What is the remainder when a(h) is divided by 17? 11 Suppose 33*n - 1026 = 2142. Let h(u) = u**3 + 5*u**2 + u - 1. What is the remainder when n is divided by h(-4)? 8 Let f(q) = -5*q**2 + q + 1. Let a be f(-2). Let l = 39 + a. Suppose 5*x + 10 = v - 12, v - l = 4*x. Calculate the remainder when 2 is divided by v. 0 Let i = 15 - 13. Suppose -5*t + 4*n = -0*n - 79, -i*n + 58 = 4*t. Calculate the remainder when t is divided by 9. 6 Calculate the remainder when (-2424)/(-128) + (-1)/(-16) is divided by 6. 1 Suppose -5 = 2*q - q, 218 = 3*u + 5*q. Suppose 0*a - 3*a + u = 0. What is the remainder when a is divided by 6/13 + (-9520)/(-1456)? 6 Let w = -57 - -61. Suppose 3*o + 90 = 2*l, -4*l + 20 + 120 = w*o. What is the remainder when 75 is divided by l? 36 Suppose -5*y - n + 48 = 0, -5*y - 4*n - n = -60. Let w = y + -8. What is the remainder when 17 is divided by ((-3 - 0) + 13)/w? 7 Suppose -27 = -3*v + 3*g, 2*v - 4 = -2*g + 6. Suppose v*r - 126 = 4*r. Calculate the remainder when 82 is divided by r. 40 Suppose 3*a = 17 - 2. Let s(t) = t**2 + 52*t - 683. What is the remainder when s(-63) is divided by a? 0 Let m = 26 + 11. Calculate the remainder when 591 is divided by m. 36 What is the remainder when 181 is divided by 22 - (-2 + -3 + (8 - 7))? 25 Let n = -53 + 552. What is the remainder when n is divided by 24? 19 Let j = -9 - -12. Let t(w) = -13*w**2 + 0 - w**3 + j + 0*w**3 + w**2. Calculate the remainder when t(-12) is divided by 2. 1 Let h(u) = 12*u - 14*u - 6*u**2 + 10*u**2 + 42*u**2 + 1. What is the remainder when h(1) is divided by 4/(-10) - (-82)/5? 13 Let y(k) = -k**3 - 3*k**2 - k - 3. Let l be y(-3). Suppose -5*w + 31 = 2*v, 4*v + w + 0*w - 89 = l. Calculate the remainder when 44 is divided by v. 21 Suppose -14*d = -9*d + 80. Let l = -16 - d. Calculate the remainder when 15 is divided by 12*(-1)/(l + -2). 3 Suppose -2*k = 3*k + 10. Let x(v) = v**3 + 3*v**2 - 7*v - 1. Calculate the remainder when x(-4) is divided by (-6)/(-15)*(12 + k). 3 Suppose -5*x - 1 = -11. Calculate the remainder when (-4 - 17/(-2))*(-24)/(-36) is divided by x. 1 Suppose -144 = 4*t + 2*k - 1758, -2*t = 5*k - 819. What is the remainder when t is divided by 66? 6 Calculate the remainder when 300 is divided by ((-656)/(-8) - 12) + -8. 52 Let r(a) = -8 - a + 6 - 3. Let d = 5 - 2. Calculate the remainder when d is divided by r(-7). 1 Suppose 0 = -w + 153 - 39. Let i = w + -81. Let k(b) = -b + 1. What is the remainder when i is divided by k(-6)? 5 Suppose 2*p - q - 55 = 0, -p - q + 15 = q. Let m = p + 57. What is the remainder when m is divided by 42? 40 Suppose 4*g - 112 = 4*d, -4*d + 2*g - 52 = 70. Let r = d - -47. Let q = 3 - -22. Calculate the remainder when q is divided by r. 11 Let h(f) = 0*f**2 - f**3 + 2 + 1 + 2*f**2 + 4*f**2 - 4*f. Calculate the remainder when 30 is divided by h(2). 8 Let k = 2 - 2. Suppose k = -2*y + 2*o + 2 - 14, -2*y = o. Calculate the remainder when 57 is divided by ((-165)/(-22))/((-1)/y). 12 Let j(h) = 72*h**3 - 14*h**2 + 2*h + 2. Let c be j(4). What is the remainder when 6/(-10) - c/(-65) is divided by 23? 21 Let u = -89 - -91. Suppose -4*d = -2*v + 86, u*d - 209 = -5*v + 30. Calculate the remainder when 186 is divided by v. 45 Let p(q) = -q**2 + 2*q + 180. Let b be p(0). Suppose 5*l = -4*g + 238, -2*g - b = -5*l + l. Calculate the remainder when l is divided by 12. 10 Suppose 2*i = o + 7, -5*o + 7 = 3*i - 23. Calculate the remainder when 18 is divided by o. 0 Let v = 31 - 19. Suppose 0 = a - 2*a + 3*d + v, 4*a - 3*d = 21. Calculate the remainder when 20 is divided by a. 2 Let p(x) = -x**3 - 9*x**2 - 24*x + 7. Calculate the remainder when p(-6) is divided by 20. 3 Let h(b) = b**3 - 5*b**2 - 12*b - 7. Calculate the remainder when h(7) is divided by (14/5 - 2)*5. 3 What is the remainder when 143 is divided by ((-9)/(-2) - 3)/((-21)/(-266))? 10 Let z(l) = -54*l - 3. Let o = 5 + -7. What is the remainder when z(o) is divided by 29? 18 Calculate the remainder when 223 + 0 - (81 - 3)/(-13) is divided by 7. 5 Let m = 11 + -9. Suppose -2*j = -5*c - 100, -m*j - 4*c + c = -100. Calculate the remainder when j is divided by 9. 5 Let m(j) be the first derivative of -3/2*j**2 - 3*j + 4 + 1/4*j**4 + 4/3*j**3. Calculate the remainder when 33 is divided by m(-4). 6 What is the remainder when 536 is divided by (16 - 16 - -1)*1*27? 23 Suppose 15 = -3*x, 0*r + 2*r + 2*x - 176 = 0. Suppose -3*k + a = -47 - 21, -a + r = 4*k. Calculate the remainder when k is divided by 8. 7 Let h(r) = 2*r + 6. Let u be h(-4). Let l = u + 19. Let s = 8 + l. Calculate the remainder when 99 is divided by s. 24 Let w = 3243 - 3090. Let k = -4 - -35. Calculate the remainder when w is divided by k. 29 Suppose -i + 262 = 2*i + 5*m, -4*m = 2*i - 174. Let s = -71 + i. What is the remainder when 64 is divided by s? 10 Suppose -2*g - 2*g = -88. Let b(j) = -3*j. Let v be b(-2). Let u(w) = w + 2. Calculate the remainder when g is divided by u(v). 6 Let a(i) be the second derivative of -i**5/10 + i**4/12 - i**3/6 + 5*i**2 - 12*i. Calculate the remainder when 19 is divided by a(0). 9 Suppose 2*k + 195 = 15*k. What is the remainder when 41 is divided by k? 11 Suppose -3938 = -5*d + 4627. What is the remainder when d is divided by 12? 9 Suppose -w = -m + 130, 0 = -5*m - 15*w + 13*w + 615. What is the remainder when m is divided by 4? 1 Let p(a) = -a**2 - 10*a + 9. Suppose 4*m - 11 = 4*v - 59, 0 = 5*m + v + 54. Let d be p(m). Let f = d + 9. What is the remainder when 12 is divided by f? 5 Let b = -207 - -224. Calculate the remainder when 31 is divided by b. 14 Suppose -55*b - 2650 = -161*b. What is the remainder when 1873 is divided by b? 23 Let u(o) = -6*o**3 + 269*o**2 + 43*o + 101. Let w(r) = -r**2 - 6*r - 3. What is the remainder when u(45) is divided by w(-3)? 5 Suppose -5*t = -26 - 39. Let r = -1 + t. What is the remainder when 23 is divided by r? 11 Let u be (-3 - 3)/(-3) + 0. Let b(x) = -4*x**u - 14 + 11 - x + 3*x**2 + 2*x**2. What is the remainder when 15 is divided by b(-3)? 6 Let x = 118 + -81. Let j = x + -20. Suppose 158 = 6*m - 34. Calculate the remainder when m is divided by j. 15 Suppose -r = 3, -4*t - 6 = -3*r - 47. Let d = 4 + 0. What is the remainder when t is divided by d? 0 Let b(p) = -p**2 - 10*p - 14. Let k be b(-11). Let c = k + 34. Calculate the remainder when c is divided by 4. 1 Suppose -3*s + 114 = 3*s. Suppose 3*y - s = 59. What is the remainder when 76 is divided by y? 24 Suppose 6*h + 66 = 5*v, 0 = -2*h + 8. Let j = 17 - 7. Calculate the remainder when v is divided by j. 8 What is the remainder when 942 is divided by (2 - -7) + 1984/62? 40 Let j(x) = 17*x**2 + x - 1. Suppose 15*c - 16*c = -9. Calculate the remainder when j(1) is divided by c. 8 Let c be -2 + ((-4)/(-1) - -2). Let m be ((-6)/(-4))/(2/c). Suppose t = -m*t + 8. What is the remainder when 3 is divided by t? 1 Let d = -23 - -62. What is the remainder when 97 is divided by d? 19 Let v be (-27)/18*(-1 - -3). Let g be v + (13 - 0)*1. Calculate the remainder when 34 is divided by 24/g*(-105)/(-14). 16 Let w be (45/20)/(6/16). Let l be 2595/18 - 1/w. Let t = l + -98. Calculate the remainder when t is divided by 16. 14 Suppose -2*h + 2 = 0, -h = -o + 23 - 2. What is the remainder when 123 is divided by o? 13 Suppose -2*v - 1170 = -12*v. Suppose -89 = m - v. Calculate the remainder when m is divided by 8. 4 Calculate the remainder when 64 is divided by (4 + 3/(-2))*132/10. 31 Suppose j - 19 = -2*t, -4*j + 52 = 4*t + t. Calculate the remainder when t/6*(-333)/(-3) is divided by 38. 34 Let f(q) = -10*q - 14. Let d = 17 - 5. Calculate the remainder when f(-3) is divided by d. 4 Suppose -r = -8 - 59. Suppose -92 = -4*f + i, -2*f + 21 = 4*i - 7. Suppose -19*h + f*h - 102 = 0. Calculate the remainder when r is divided by h. 33 Suppose -5*u + 38 = 3*r - 5*r, -2*u + 2*r = -14. Let k = 46 + -46. Let f = 3 + k. What is the rem
{ "pile_set_name": "DM Mathematics" }
-4*b(z) - u(z). 2*z**3 - 2*z**2 + 2*z Let y(k) = 199*k**3 + 3*k + 6. Let x(a) = -6767*a**3 - 101*a - 202. Determine 3*x(i) + 101*y(i). -202*i**3 Let r(n) = 7*n. Let g be (-1160)/435*(-6)/4. Let v(k) be the third derivative of 5*k**2 - 1/3*k**g + 0*k**3 + 0 + 0*k. Give -6*r(f) - 5*v(f). -2*f Let y(j) = -j**2 + j. Let d(h) = -h**3 - h**2 - h + 3. Suppose -9*g + 6*g = 0. Let i be d(g). Let k(p) = 1 + 0*p + i*p - 6*p**2 + 2*p. What is -k(n) + 4*y(n)? 2*n**2 - n - 1 Let t(q) = 5*q**2 + 30*q - 30. Let p(v) = v - 1. Let h(m) = m**2 - 12*m - 14. Let d be h(13). Give d*t(f) + 30*p(f). -5*f**2 Let b(w) = 5*w - 1. Let h(k) = -14*k - 19. Give -3*b(y) - h(y). -y + 22 Let b(g) = 8*g**3 + 12*g - 12. Let i(l) = l**3 + 1166*l**2 + l - 1 - 1166*l**2. Suppose 0 = -2*r - 2. Give r*b(w) + 12*i(w). 4*w**3 Let b(l) be the third derivative of l**5/6 - 2*l**2 + 13. Let k(z) = 15*z**2. Determine -7*b(u) + 5*k(u). 5*u**2 Let f(t) = -108*t**3 + 4*t**2 - 3*t + 3. Let o(a) = -325*a**3 + 11*a**2 - 8*a + 8. Determine 8*f(r) - 3*o(r). 111*r**3 - r**2 Let w(r) = 44*r + 28. Suppose 0*t = 3*t - 15. Let n(g) be the third derivative of 0*g - 1/3*g**4 - 5/6*g**3 + 9*g**2 + 0. Determine t*w(s) + 28*n(s). -4*s Let k(n) = n**2 - 8*n - 4. Let p(l) = -4*l**2 + 37*l + 63. Let i(f) = 2*f**2 - 19*f - 35. Let u(v) = 7*i(v) + 4*p(v). Calculate -7*k(q) - 4*u(q). q**2 - 4*q Let h be -24*(-3 - (-1)/(-2) - -3). Let f(x) = h - 13*x**3 - 15 + 10 - 4*x**2. Let t(i) = 4*i**3 + i**2 - 2. Calculate 2*f(j) + 7*t(j). 2*j**3 - j**2 Let d be 2 + 1 - 32/8. Let u(k) = k. Let i be ((-6)/(-27))/((-1)/(-9)). Let l(g) = 1 - g - i - g. What is d*l(j) - u(j)? j + 1 Let u(v) = -88*v**2 + 14*v. Let h(i) = 29*i**2 - 5*i. What is 10*h(t) + 3*u(t)? 26*t**2 - 8*t Let j(v) = -4*v**2 + 1. Let y(r) = 1 + 8*r**2 - r + r - 9*r**2 - 2*r**2 + r. Calculate 2*j(b) - 3*y(b). b**2 - 3*b - 1 Let g(z) = 7*z + 29405 - 29405. Let w(l) = -l. Give -3*g(p) - 12*w(p). -9*p Let t(v) = 4 - 3*v**3 + 2*v + 4*v - 4*v**2 - 2*v. Let k(u) = -8*u**3 - 11*u**2 + 11*u + 11. Let b be 0 + 2 + -38 + 40. Calculate b*k(p) - 11*t(p). p**3 Let y(z) = 9*z**2 - 15*z + 9. Let k(i) = 5*i**2 - 8*i + 5. Let d = -261 - -267. What is d*y(w) - 11*k(w)? -w**2 - 2*w - 1 Let w(a) = -11*a + 13. Let x(j) = 6*j - 7. Give -3*w(b) - 5*x(b). 3*b - 4 Let a(t) = -13*t**2 - 24*t + 4. Let s(u) = 13*u**2 + 21*u - 3. What is 6*a(w) + 7*s(w)? 13*w**2 + 3*w + 3 Let j(k) = k**2 + k - 9. Let d(s) = -s**3 - s**2 - s + 8. Give 7*d(a) + 6*j(a). -7*a**3 - a**2 - a + 2 Let r(b) = -b**3 - 11. Let q be 20/(-60)*15*-1. Let i(k) = 2*k**3 + 17. Give q*i(n) + 8*r(n). 2*n**3 - 3 Suppose 0 = -2*t + 10 + 4. Let s(a) = 2*a**3 + 1. Let l(q) = -2*q**2 - 8*q + 507. Let i be l(14). Let c(z) = -5*z**3 - 3. Give i*c(v) + t*s(v). -v**3 - 2 Let u(p) = 4*p**3 + 5*p**2 - 65*p. Let k(i) = -3*i**3 - 4*i**2 + 65*i. Determine -5*k(l) - 4*u(l). -l**3 - 65*l Let s(r) = -4*r**2 - 5*r + 2. Let j(a) = -a**2 + a + 1. Let g = -38 - -40. Determine g*j(u) - s(u). 2*u**2 + 7*u Let w(u) = 10 - 5*u**3 - 5 + 2. Suppose 7*z - 9 = 26. Let b be (21 + -20)/((-1)/6). Let n(x) = -4*x**3 + 6. What is b*n(l) + z*w(l)? -l**3 - 1 Let x(z) = 63. Let f(n) = -25. Let i(o) = -5*f(o) - 2*x(o). Let t(a) = 6*a + 2. What is -3*i(v) - t(v)? -6*v + 1 Let v(h) = 11*h**2 - 9*h. Let z(c) = -5*c**2 + 4*c. Let f(l) = -2 - l + 0*l + 4*l. Let k be f(4). Let j be k*(3 - (-51)/(-15)). Give j*v(x) - 9*z(x). x**2 Let y(l) = 6*l**3 - 3*l**2 + 3*l + 3. Let i(z) = -25*z - 30*z**3 + 15*z**2 + 9*z - 2 - 14 + z**2. What is -3*i(s) - 16*y(s)? -6*s**3 Let w(y) = y + 5. Let q(d) = -d. Suppose -o - 122*f = -127*f - 14, -5*f = 15. What is o*w(g) - 2*q(g)? g - 5 Let u(r) = -5*r**3 - 4*r**2 - 2*r - 27. Let t(k) = 21*k**3 + 18*k**2 + 8*k + 109. What is 2*t(p) + 9*u(p)? -3*p**3 - 2*p - 25 Let b be (-4)/12*(3 + -90). Suppose -b + 28 = -w. Let l(g) = g. Let h(k) = -5*k + 0*k + 2*k. Give w*h(r) + 5*l(r). 2*r Let b(m) = -2*m**2 + 9*m + 6. Let f(r) = -5*r**2 + 17*r + 14. What is -9*b(g) + 4*f(g)? -2*g**2 - 13*g + 2 Let n(d) = 2*d. Let f(v) = v**2 + v + 7. Determine -f(j) + n(j). -j**2 + j - 7 Let q(l) = -3*l + 7*l + 12*l. Let m(h) = 2 - h + 0*h - 6 + 4. Determine -20*m(a) - q(a). 4*a Let q(k) = -18*k**2 + 16*k - 2. Let c(z) = -22*z**2 + 17*z - 3. What is 2*c(y) - 3*q(y)? 10*y**2 - 14*y Let l = -44 + 46. Let b be 125/30 + l/(-12). Let r be (-9)/(-3) + (-42 - -3). Let p(d) = -d**2 - d. Let s(u) = -8*u**2 - 9*u. Give b*s(g) + r*p(g). 4*g**2 Let s(m) = 2*m**3 + 9*m**2 + m + 4. Let u(w) = w**2 + 1. Let a = 81 + -85. Calculate a*u(f) + s(f). 2*f**3 + 5*f**2 + f Let f(d) be the first derivative of -d**2 - 1/3*d**3 + 4*d + 15. Let o(r) = 2*r**2 + 2*r - 5. Give -4*f(u) - 3*o(u). -2*u**2 + 2*u - 1 Let v(m) = 2*m**2 - 5*m - 2. Let d be v(3). Let b(y) = -3*y - 12. Let t(p) = p + 1. Determine d*b(r) + 5*t(r). 2*r - 7 Let x(v) = v**2 - 8*v. Let q(k) = -10*k**2 + 11*k + 4. Let c(t) = -2*t**2 - t + 1. Let j(d) = -4*c(d) + q(d). What is -3*j(w) - 5*x(w)? w**2 - 5*w Let q(z) = 182*z**3 + 14*z + 14. Let u(i) = -i**3 + i + 1. Determine 3*q(n) - 42*u(n). 588*n**3 Let a(r) = -r**2 + r - 1. Suppose q + 0 = 7. Suppose 3 = -2*c + 3*s - 2, -5*c + s = -q. Let j(x) = -2*x**2 + 1 + x**2 + 2*x**c. Give a(d) + 2*j(d). d**2 + d + 1 Let o(j) = -j + 3. Let w(l) = l - 3. Let f(b) = -5*o(b) - 6*w(b). Let n(g) be the second derivative of g**2/2 - g. Give -f(h) + 3*n(h). h Let a(d) = 2208*d - 391. Let k(v) = -34*v + 6. Give 6*a(i) + 391*k(i). -46*i Let n(k) = -6*k**2 - 3*k + 8. Let q(r) = 7*r**2 + 4*r - 9. Let a = -289 + 294. Calculate a*q(h) + 6*n(h). -h**2 + 2*h + 3 Let n(u) = 159*u. Let w(a) = 106*a. Determine 5*n(g) - 7*w(g). 53*g Suppose -21*s - 81 = 24. Let i(v) = -2*v**3 - 6*v**2 + 5*v - 4. Let a(p) = p**3 + 5*p**2 - 4*p + 3. What is s*i(c) - 6*a(c)? 4*c**3 - c + 2 Suppose -r = -4*u + 5, 2*r - 22 = -5*u - 2*r. Let t(o) = 6*o**3 - 3*o + 4*o**u - o - 14*o**3. Let m(k) = -9*k**3 + 5*k**2 - 5*k. Calculate -4*m(q) + 5*t(q). -4*q**3 Let d(w) = -w - 1. Let g be 21/(-14)*(0 - 2). Let h(q) = -2*q - 7. Let n(p) = g*d(p) - h(p). Let z(r) = 3*r - 11. Calculate -11*n(v) - 4*z(v). -v Let b(t) = -3*t - 81. Let f(q) = -q - 1. What is -b(p) + 5*f(p)? -2*p + 76 Let j(y) = -y**3 + 6*y**2 - 5*y - 11. Let b(d) be the second derivative of 0 + d**2 + 4*d + 1/6*d**3 - 1/12*d**4. Give -11*b(v) - 2*j(v). 2*v**3 - v**2 - v Suppose -4*r - 4*z - 3 = r, r = -z. Let c(v) = 17*v**2 + 5. Let i(u) = -8*u**2 - 3. Determine r*c(w) - 5*i(w). -11*w**2 Let a(n) = 3*n + 6. Let w(q) = 3*q + 5. Suppose -3*v = 2*j + 8, 0*v = -4*j - 2*v. Let s(i) = -9*i - 14. Let h(u) = j*s(u) + 7*w(u). Calculate -5*a(m) + 4*h(m). -3*m - 2 Let x(o) = -o - 3. Let m(k) = 5. Determine -m(s) - 4*x(s). 4*s + 7 Let p(i) = -i**2 + i - 1. Let m(l) = -l**3 + 3*l**2 - 6*l + 6. Let h = -382 + 381. Let z be (-4)/(-10) + (-32)/5. What is h*m(d) + z*p(d)? d**3 + 3*d**2 Let u(n) = 16*n. Let a(y) = -4*y. Let p(f) = 2*f**2 - 2*f + 9. Let t be p(0). What is t*a(q) + 2*u(q)? -4*q Let o(i) = -357*i**2 + 7*i + 14. Let r(a) = 360*a**2 - 8*a - 16. Determine -7*o(w) - 6*r(w). 339*w**2 - w - 2 Let v(t) = -513*t**3 + 3*t**2 - 3*t - 3. Let p(c) = -11798*c**3 + 68*c**2 - 68*c - 68. Calculate -3*p(i) + 68*v(i). 510*i**3 Let m(b) = -2*b**2 + 2*b - 5. Let q(o) be the second derivative of -o**4/3 + 2*o**3/3 - 9*o**2/2 + 261*o. Determine -5*m(k) + 3*q(k). -2*k**2 + 2*k - 2 Let q(w) = 9*w**2 - 2*w - 4. Let y(t) = 35*t**2 - 9*t - 13. Calculate -9*q(a) + 2*y(a). -11*a**2 + 10 Let s(r) = 182*r**2 + 16*r. Let q(o) = -61*o**2 - 6*o. Give -8*q(n) - 3*s(n). -58*n**2 Let w(h) = 6*h**3 - 32*h**2 + 5*h - 17. Let j(l) = -2*l**3 + 11*l**2 - 2*l + 6. What is -17*j(g) - 6*w(g)? -2*g**3 + 5*g**2 + 4*g Let b(x) = 12*x + 4. Let s(h) = -2*h - 1. Let p(u) = -b(u) - 5*s(u). Let y(g) = g - 8. Let k be y(5). Let a(o) = o - 2. Calculate k*a(c) - 2*p(c). c + 4 Let g(p) = 209*p**3 - 55*p**2 + 55*p + 110. Let m(w) = -15*w**3 + 4*w**2 - 4*w - 8. Let d(r) = -4*g(r) - 55*m(r). Let i(v) = 99*v**3. Give -55*d(u) - 6*i(u). 11*u**3 Let t(b) = -9*b - 53. Let h(i) = -11*i - 52. What is -5*h(m) + 6*t(m)? m - 58 Let y(a) = a. Let n(s) = -4*s + 14. Determine -n(p) + 5*y(p). 9*p - 14 Let j(l) = l. Let v(c) be the third derivative of -1/3*c**3 + 0 + 15*c**2 + 0*c. What is -j(b) - v(b)? -b + 2 Let z(o) = 13*o - 2*o**2 - 16*o + 4*o*
{ "pile_set_name": "DM Mathematics" }
hen three letters picked without replacement from ufxrlvfxl. 1/21 What is prob of picking 1 g, 1 p, and 1 l when three letters picked without replacement from {g: 2, l: 6, n: 4, z: 2, p: 3}? 9/170 What is prob of picking 1 s and 1 a when two letters picked without replacement from ccsaapaaapaatcrat? 1/17 Three letters picked without replacement from {v: 3, g: 2, n: 4}. What is prob of picking 1 g and 2 v? 1/14 Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {w: 1, o: 1, y: 1, a: 2}. 1/10 Calculate prob of picking 3 z when three letters picked without replacement from zjzzzzzjzzjzzzzjzjz. 364/969 Four letters picked without replacement from {s: 8, f: 6, t: 1}. What is prob of picking 3 f and 1 t? 4/273 Calculate prob of picking 2 l and 2 a when four letters picked without replacement from lwliailal. 1/21 Four letters picked without replacement from xxexccxhxxxcxxc. What is prob of picking 1 e, 1 c, and 2 x? 48/455 Three letters picked without replacement from {w: 5, h: 13}. What is prob of picking 3 w? 5/408 Two letters picked without replacement from {t: 7, h: 1}. What is prob of picking 2 t? 3/4 Three letters picked without replacement from {f: 1, b: 2, y: 2, q: 6}. Give prob of picking 1 f and 2 y. 1/165 What is prob of picking 1 s, 1 g, and 1 c when three letters picked without replacement from ssgsxggsxsggcgscggxs? 28/285 What is prob of picking 1 m, 1 l, 1 w, and 1 d when four letters picked without replacement from {z: 1, d: 1, h: 2, l: 2, m: 2, w: 1}? 2/63 Four letters picked without replacement from {p: 1, h: 1, v: 1, c: 1, t: 1}. What is prob of picking 1 t, 1 h, 1 p, and 1 v? 1/5 Two letters picked without replacement from ifigg. Give prob of picking 2 i. 1/10 What is prob of picking 4 r when four letters picked without replacement from {n: 4, r: 12, k: 4}? 33/323 Two letters picked without replacement from {j: 2, x: 3}. Give prob of picking 2 j. 1/10 Three letters picked without replacement from {d: 2, t: 5, c: 3}. Give prob of picking 3 d. 0 Two letters picked without replacement from uggfffffff. What is prob of picking 1 f and 1 g? 14/45 Calculate prob of picking 1 l and 2 v when three letters picked without replacement from {d: 2, y: 4, u: 2, l: 5, v: 4}. 3/68 Four letters picked without replacement from {w: 1, x: 3, j: 1, k: 1, g: 1}. Give prob of picking 1 x, 1 j, 1 g, and 1 w. 3/35 Three letters picked without replacement from xxxxxaxxxxxxx. What is prob of picking 3 x? 10/13 Calculate prob of picking 1 i and 1 j when two letters picked without replacement from jjjijpjjjvjjij. 20/91 Four letters picked without replacement from {v: 9, r: 2}. Give prob of picking 3 v and 1 r. 28/55 Four letters picked without replacement from {c: 2, o: 9}. Give prob of picking 4 c. 0 Two letters picked without replacement from {w: 1, y: 2, z: 1, e: 1}. What is prob of picking 1 w and 1 y? 1/5 What is prob of picking 1 z, 1 q, and 2 w when four letters picked without replacement from {z: 1, q: 1, p: 3, w: 9}? 36/1001 What is prob of picking 3 e and 1 n when four letters picked without replacement from {n: 4, e: 3, s: 2}? 2/63 What is prob of picking 1 l and 1 r when two letters picked without replacement from gvltr? 1/10 Calculate prob of picking 2 x, 1 l, and 1 f when four letters picked without replacement from {q: 2, f: 1, l: 1, i: 4, x: 5, r: 2}. 2/273 Four letters picked without replacement from {w: 2, n: 2, p: 3, m: 6}. What is prob of picking 3 m and 1 p? 12/143 What is prob of picking 1 x and 1 k when two letters picked without replacement from {h: 1, k: 1, x: 1, s: 1, b: 1}? 1/10 What is prob of picking 1 c and 3 d when four letters picked without replacement from {d: 3, c: 2}? 2/5 Calculate prob of picking 2 c when two letters picked without replacement from cllccccclllllc. 3/13 Calculate prob of picking 2 v, 1 p, and 1 d when four letters picked without replacement from vppvvvmddvmvvvvm. 36/455 What is prob of picking 2 p when two letters picked without replacement from {j: 1, p: 2, z: 1}? 1/6 Calculate prob of picking 2 o when two letters picked without replacement from {d: 1, x: 9, o: 4, l: 3, f: 2}. 2/57 Calculate prob of picking 2 w when two letters picked without replacement from {g: 5, w: 2, z: 3}. 1/45 Four letters picked without replacement from {s: 3, z: 3, y: 1, r: 4}. Give prob of picking 3 s and 1 z. 1/110 Calculate prob of picking 2 g when two letters picked without replacement from tggggt. 2/5 What is prob of picking 1 d and 1 i when two letters picked without replacement from {i: 3, z: 7, d: 4}? 12/91 Four letters picked without replacement from kiikikiciikc. Give prob of picking 1 i, 1 k, and 2 c. 8/165 Calculate prob of picking 1 h and 2 v when three letters picked without replacement from vvhhhhmvhv. 1/4 Calculate prob of picking 1 b and 1 x when two letters picked without replacement from xnbb. 1/3 What is prob of picking 2 l and 1 a when three letters picked without replacement from abalaaaaababaabbabl? 11/969 Four letters picked without replacement from {n: 3, q: 4, x: 2}. Give prob of picking 1 x and 3 n. 1/63 Calculate prob of picking 4 a when four letters picked without replacement from {a: 8, b: 2}. 1/3 What is prob of picking 3 n and 1 i when four letters picked without replacement from innninnnnninnn? 45/91 Four letters picked without replacement from {b: 9, p: 5}. What is prob of picking 4 p? 5/1001 Three letters picked without replacement from hhhddhhddh. What is prob of picking 3 h? 1/6 Calculate prob of picking 3 z and 1 r when four letters picked without replacement from xzrgzggzgzzzr. 8/143 Three letters picked without replacement from {v: 4, m: 1, i: 2, q: 4, x: 3}. What is prob of picking 2 v and 1 x? 9/182 What is prob of picking 1 k and 1 p when two letters picked without replacement from {w: 2, r: 2, k: 1, p: 2, h: 1, i: 1}? 1/18 Two letters picked without replacement from {q: 1, p: 3, i: 1, k: 4, y: 2}. What is prob of picking 2 y? 1/55 Calculate prob of picking 3 c when three letters picked without replacement from aaacaaaa. 0 Three letters picked without replacement from {l: 2, x: 4, z: 6, h: 2, w: 1, m: 3}. Give prob of picking 2 h and 1 z. 1/136 Two letters picked without replacement from {o: 2, v: 3}. What is prob of picking 2 v? 3/10 Four letters picked without replacement from qtmqqtkq. What is prob of picking 1 m, 1 t, and 2 q? 6/35 Three letters picked without replacement from {n: 1, d: 2, r: 11, k: 2}. Give prob of picking 1 n, 1 r, and 1 d. 11/280 Calculate prob of picking 2 y, 1 m, and 1 c when four letters picked without replacement from ckyymyykc. 2/21 Three letters picked without replacement from vlxlvlhlvlxvxlxlxl. Give prob of picking 3 l. 7/102 Two letters picked without replacement from {b: 6, k: 4}. What is prob of picking 2 b? 1/3 What is prob of picking 1 q and 2 w when three letters picked without replacement from {t: 1, c: 6, g: 3, q: 5, w: 2}? 1/136 Two letters picked without replacement from {m: 1, d: 8, x: 1, e: 1, t: 6}. Give prob of picking 1 t and 1 m. 3/68 Two letters picked without replacement from {n: 1, p: 6, k: 4}. What is prob of picking 1 k and 1 n? 4/55 Two letters picked without replacement from ydiddidddydxnudxdx. Give prob of picking 1 n and 1 y. 2/153 Calculate prob of picking 2 n when two letters picked without replacement from {v: 2, k: 1, n: 7}. 7/15 Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {x: 2, j: 3, t: 1, m: 1}. 1/7 Two letters picked without replacement from lvwlhvvv. What is prob of picking 1 l and 1 w? 1/14 What is prob of picking 2 i and 1 n when three letters picked without replacement from niinnin? 12/35 Two letters picked without replacement from {o: 3, i: 12}. Give prob of picking 2 o. 1/35 Two letters picked without replacement from uupupuppfpupfp. Give prob of picking 1 u and 1 f. 10/91 What is prob of picking 2 n when two letters picked without replacement from ntnsnkc? 1/7 Calculate prob of picking 1 h and 2 m when three letters picked without replacement from mhhmnmhhimmmrihmrvvr. 7/76 Calculate prob of picking 1 s and 1 r when two letters picked without replacement from dshdrdo. 1/21 What is prob of picking 1 q, 1 x, and 1 y when three letters pic
{ "pile_set_name": "DM Mathematics" }
2 and 30233156. 393031028 Calculate the least common multiple of 3908 and 32926854. 65853708 Calculate the smallest common multiple of 55 and 18333990. 201673890 What is the lowest common multiple of 25513048 and 51026096? 51026096 What is the least common multiple of 67290042 and 158516? 134580084 Calculate the common denominator of 16/46917 and -71/208104. 250349112 Calculate the least common multiple of 429443 and 30797198. 215580386 What is the lowest common multiple of 126 and 20571675? 864010350 Find the common denominator of 33/553664 and -15/3376. 553664 What is the lowest common multiple of 1459875 and 30915? 13138875 Calculate the common denominator of 151/43524 and 85/24024. 6702696 Calculate the common denominator of 149/284240 and -101/2238390. 17907120 Calculate the lowest common multiple of 1911952 and 17468. 21031472 Calculate the common denominator of -59/14256 and 19/23304. 13842576 What is the smallest common multiple of 2760 and 153180? 306360 What is the least common multiple of 1113840 and 5460? 1113840 Calculate the least common multiple of 277050 and 1630. 45159150 Find the common denominator of -36/3079787 and 29/66855. 46196805 What is the least common multiple of 40234705 and 199924? 160938820 What is the common denominator of 31/4 and 109/79270056? 79270056 What is the least common multiple of 825 and 310935? 17101425 Calculate the smallest common multiple of 5055828 and 599844. 35390796 What is the lowest common multiple of 4448 and 119032? 66181792 What is the least common multiple of 4590803 and 63? 41317227 Find the common denominator of -57/101020 and 23/4620. 23335620 What is the common denominator of 75/10679936 and -2/29? 309718144 What is the lowest common multiple of 1068911 and 22? 23516042 What is the smallest common multiple of 34798 and 19728? 2505456 What is the least common multiple of 37752 and 4048? 1736592 Calculate the lowest common multiple of 33437 and 156808. 4547432 Calculate the least common multiple of 44 and 2348148. 2348148 Find the common denominator of -57/10 and 133/2752038. 13760190 Calculate the common denominator of -95/7008 and 137/110160. 16083360 Calculate the lowest common multiple of 115647 and 113928816. 797501712 Calculate the lowest common multiple of 120 and 19791560. 59374680 Find the common denominator of 10/27 and -68/2551191. 22960719 Calculate the lowest common multiple of 120 and 493248. 2466240 What is the lowest common multiple of 1146 and 6930? 1323630 Calculate the least common multiple of 69296 and 9089988. 2217957072 Calculate the smallest common multiple of 322 and 179135960. 1253951720 Find the common denominator of -151/5646762 and 73/27018. 5646762 Calculate the common denominator of 91/36732 and -13/1472. 13517376 Calculate the common denominator of 29/5518028 and 81/28. 38626196 Calculate the lowest common multiple of 6304 and 282025. 1777885600 Calculate the smallest common multiple of 5357 and 5316092. 58477012 Calculate the smallest common multiple of 4095 and 70119. 4557735 What is the smallest common multiple of 122049355 and 687602? 244098710 What is the least common multiple of 33948 and 39155? 32420340 What is the common denominator of 21/118675 and -13/1329160? 6645800 Calculate the common denominator of -67/707184 and 121/12. 707184 Calculate the lowest common multiple of 151807 and 111569. 9260227 Calculate the least common multiple of 105 and 42944805. 300613635 Calculate the common denominator of 71/60 and -131/15083490. 30166980 What is the least common multiple of 13464 and 52088? 5156712 What is the least common multiple of 17755820 and 20? 17755820 What is the common denominator of 113/66480 and -71/226032? 1130160 Calculate the common denominator of -5/430768 and -33/25688. 5599984 Calculate the smallest common multiple of 78798 and 22608. 296910864 What is the common denominator of 81/322 and -167/18574122? 427204806 Calculate the common denominator of -23/8 and 39/6027016. 6027016 Calculate the smallest common multiple of 631959 and 187. 118176333 Calculate the common denominator of -79/20 and -99/144328336. 721641680 Calculate the common denominator of 39/16799495 and 68/45. 151195455 What is the least common multiple of 149969440 and 45? 1349724960 Calculate the lowest common multiple of 85615204 and 7. 599306428 What is the common denominator of -115/84 and 5/2119092? 14833644 Calculate the lowest common multiple of 161595 and 20131335. 382495365 What is the least common multiple of 332 and 44083956? 44083956 Calculate the common denominator of 151/66 and 95/978552. 10764072 Calculate the common denominator of 54/64405 and 4/2872463. 14362315 Calculate the lowest common multiple of 9 and 909244437. 2727733311 What is the common denominator of 121/240 and -125/3252384? 16261920 Calculate the common denominator of 173/18564 and -157/104720. 4084080 What is the common denominator of -41/108037042 and -40/7? 756259294 Calculate the least common multiple of 484640 and 1798760. 93535520 Calculate the least common multiple of 28164 and 93577237. 1122926844 Find the common denominator of 12/4283461 and -83/15909998. 111369986 Calculate the common denominator of -51/10198475 and -68/129825. 91786275 What is the lowest common multiple of 1751845 and 2102214? 10511070 What is the smallest common multiple of 228 and 282898? 32250372 What is the least common multiple of 9102 and 51987? 157728558 Calculate the smallest common multiple of 62733 and 103950. 197608950 What is the common denominator of -47/114585120 and -121/520? 114585120 Calculate the smallest common multiple of 20255890 and 36. 364606020 Calculate the common denominator of 29/528 and 45/443344. 1330032 Find the common denominator of -123/236480 and 77/113440. 167664320 Calculate the lowest common multiple of 12 and 100517952. 100517952 What is the lowest common multiple of 171463 and 2744646? 760266942 Calculate the smallest common multiple of 172 and 1203441. 4813764 What is the common denominator of -23/7127460 and -187/60? 7127460 What is the common denominator of -99/9724670 and -39/15559472? 77797360 What is the common denominator of -173/5253720 and 127/60? 5253720 What is the common denominator of -65/6024042 and 34/75300525? 150601050 What is the smallest common multiple of 206729 and 2033? 420280057 What is the lowest common multiple of 130048 and 384556? 98446336 Calculate the lowest common multiple of 2274 and 465876. 176567004 Calculate the common denominator of -16/5386377 and 58/114537. 393205521 What is the common denominator of -47/5649086 and -71/7870? 28245430 What is the lowest common multiple of 65790 and 3868452? 19342260 What is the smallest common multiple of 16003091 and 93970? 160030910 What is the common denominator of 53/15288 and -181/2232048? 2232048 Find the common denominator of 11/35900 and -23/1795. 35900 What is the lowest common multiple of 672690 and 7937742? 39688710 What is the common denominator of -85/44 and 93/6132632? 6132632 What is the common denominator of -127/36 and -97/788084? 7092756 Calculate the common denominator of -103/39172455 and 15/94108. 156689820 What is the smallest common multiple of 5236 and 3272324? 389406556 What is the common denominator of 25/24882 and -50/10803? 6892314 Calculate the least common multiple of 116039 and 248655. 1740585 What is the common denominator of 3/38389687 and 87/3133852? 153558748 Find the common denominator of 37/3090675 and 82/189225. 9272025 Find the common denominator of 91/8 and 107/69478914. 277915656 What is the common denominator of 59/3159600 and -173/54345120? 271725600 What is the smallest common multiple of 48 and 3549784? 21298704 Find the common denominator of 1/4848382 and -73/1020712. 19393528 Calculate the lowest common multiple of 7813697 and 2007. 70323273 What is the least common multiple of 230760833 and 35690? 2307608330 Find the common denominator of -25/2341058 and 28/9455. 11705290 What is the lowest common multiple of 666500 and 26660? 666500 What is the smallest common multiple of 68572 and 9796? 68572 Find the common denominator of -179/3920280 and 23/85. 66644760 Calculate the common denominator of 35/88 and -169/399168. 399168 Calculate the smallest common m
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from {r: 7, a: 1, e: 3, o: 2, w: 1}. 2/1001 Calculate prob of picking 2 o when two letters picked without replacement from coaoilia. 1/28 Four letters picked without replacement from ppelpipilfipiiiiii. Give prob of picking 3 p and 1 e. 1/306 Three letters picked without replacement from {l: 1, o: 1, t: 2, b: 2, y: 4}. Give prob of picking 1 t, 1 y, and 1 b. 2/15 Calculate prob of picking 3 v when three letters picked without replacement from {m: 1, z: 1, v: 1, g: 2, k: 5}. 0 Three letters picked without replacement from {g: 6, x: 3, o: 5, l: 1}. Give prob of picking 1 g and 2 o. 12/91 What is prob of picking 1 f and 1 y when two letters picked without replacement from {z: 3, y: 5, f: 3}? 3/11 Calculate prob of picking 2 g and 1 e when three letters picked without replacement from {e: 1, c: 5, k: 1, g: 2}. 1/84 What is prob of picking 1 q and 2 z when three letters picked without replacement from qzzqzqzzqqqqq? 40/143 What is prob of picking 1 p, 1 r, and 2 o when four letters picked without replacement from {o: 2, r: 1, p: 1, c: 1}? 1/5 What is prob of picking 4 y when four letters picked without replacement from myyyymymymyyyy? 30/143 What is prob of picking 2 b when two letters picked without replacement from {u: 1, r: 1, b: 2, i: 2, s: 1}? 1/21 Two letters picked without replacement from {r: 5, t: 9}. Give prob of picking 1 t and 1 r. 45/91 Three letters picked without replacement from hhhhshdhpdwosspodso. What is prob of picking 1 h, 1 d, and 1 o? 18/323 Calculate prob of picking 1 l and 1 g when two letters picked without replacement from wlpwndg. 1/21 Four letters picked without replacement from udqfudqquqqqdqfqqq. Give prob of picking 1 q, 1 u, and 2 f. 1/102 What is prob of picking 1 m and 1 k when two letters picked without replacement from fkffffkkfffmkf? 4/91 What is prob of picking 1 m and 2 v when three letters picked without replacement from hjvvjbjvvvhqvhmvbjhb? 7/380 Calculate prob of picking 1 t, 2 l, and 1 n when four letters picked without replacement from hhqnhlqtllnqlll. 2/91 Four letters picked without replacement from {b: 4, n: 6, k: 5}. Give prob of picking 2 k and 2 n. 10/91 What is prob of picking 1 q, 1 l, and 1 z when three letters picked without replacement from bzzzqzbqbzzlqqqz? 1/16 What is prob of picking 2 l and 1 j when three letters picked without replacement from {l: 2, m: 1, j: 3, i: 13}? 1/323 Two letters picked without replacement from rwpxhgrx. Give prob of picking 1 p and 1 x. 1/14 What is prob of picking 3 n when three letters picked without replacement from {g: 7, n: 6}? 10/143 Four letters picked without replacement from {s: 3, a: 1}. What is prob of picking 4 a? 0 Two letters picked without replacement from {w: 2, a: 1, x: 1, v: 1, d: 1, q: 1}. What is prob of picking 1 d and 1 x? 1/21 Calculate prob of picking 2 w when two letters picked without replacement from {r: 14, w: 5}. 10/171 Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {t: 1, m: 2, o: 4, g: 2}. 1/9 Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {b: 2, v: 1}. 2/3 Four letters picked without replacement from {s: 1, p: 19}. What is prob of picking 4 p? 4/5 Two letters picked without replacement from zrzzzzozzzz. Give prob of picking 1 r and 1 o. 1/55 Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {h: 6, f: 3, x: 1, r: 3}. 1/26 Calculate prob of picking 4 r when four letters picked without replacement from {r: 5}. 1 Two letters picked without replacement from {i: 2, p: 3}. Give prob of picking 1 p and 1 i. 3/5 Two letters picked without replacement from xnnggcknwwxkxg. What is prob of picking 1 k and 1 x? 6/91 Two letters picked without replacement from {n: 1, h: 2, i: 1}. What is prob of picking 1 i and 1 h? 1/3 Two letters picked without replacement from pzdbz. Give prob of picking 1 z and 1 d. 1/5 Four letters picked without replacement from aoaaxooxaxoxxxxxx. Give prob of picking 2 x and 2 o. 54/595 What is prob of picking 1 r and 3 a when four letters picked without replacement from {a: 5, r: 2, k: 3}? 2/21 What is prob of picking 1 j, 1 g, and 1 v when three letters picked without replacement from {g: 1, f: 2, v: 1, o: 1, c: 5, j: 3}? 3/286 Calculate prob of picking 2 f when two letters picked without replacement from ofxhof. 1/15 Three letters picked without replacement from {f: 4, a: 3, x: 3, c: 3}. What is prob of picking 1 c and 2 a? 9/286 Calculate prob of picking 2 v and 2 e when four letters picked without replacement from vvveveveeeee. 14/33 Four letters picked without replacement from uwwzzzwuwzzzwzwzz. Give prob of picking 2 w, 1 u, and 1 z. 27/238 What is prob of picking 1 a and 1 w when two letters picked without replacement from {w: 9, a: 3}? 9/22 Calculate prob of picking 2 s when two letters picked without replacement from {v: 2, s: 9}. 36/55 Three letters picked without replacement from {n: 3, z: 1, j: 1, w: 5, b: 3}. Give prob of picking 3 b. 1/286 Calculate prob of picking 1 j and 2 c when three letters picked without replacement from jcsscscjvjjjjjjcv. 6/85 Four letters picked without replacement from {q: 4, g: 4, k: 8}. What is prob of picking 3 q and 1 g? 4/455 Three letters picked without replacement from czkccezcvkk. Give prob of picking 2 z and 1 c. 4/165 Four letters picked without replacement from {l: 1, t: 4, x: 8, a: 4, m: 2}. Give prob of picking 2 x and 2 a. 14/323 What is prob of picking 1 c and 2 z when three letters picked without replacement from {c: 2, z: 3, k: 3}? 3/28 Two letters picked without replacement from {t: 15, h: 4}. What is prob of picking 2 t? 35/57 Calculate prob of picking 2 b and 1 y when three letters picked without replacement from {g: 1, b: 2, a: 7, y: 1, w: 4}. 1/455 Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, w: 3}. 5/14 Two letters picked without replacement from ttjjtmmmmmmttm. Give prob of picking 1 m and 1 j. 2/13 Calculate prob of picking 3 g and 1 y when four letters picked without replacement from gggyggggygyyyyggggg. 143/323 Three letters picked without replacement from llcccll. What is prob of picking 1 c and 2 l? 18/35 Two letters picked without replacement from {a: 12, x: 1, u: 6}. Give prob of picking 2 u. 5/57 Calculate prob of picking 1 u and 1 c when two letters picked without replacement from uuccu. 3/5 Four letters picked without replacement from hygbyybnbbbgbynn. Give prob of picking 2 n and 2 y. 9/910 Four letters picked without replacement from pppwppppwppwwp. Give prob of picking 4 p. 30/143 What is prob of picking 1 t, 1 p, and 1 q when three letters picked without replacement from rdpqqtddqqpqqpqdrp? 7/204 What is prob of picking 3 o and 1 r when four letters picked without replacement from {r: 13, w: 1, b: 2, o: 3}? 13/3876 Four letters picked without replacement from gjgfgffffggfjf. Give prob of picking 4 f. 5/143 What is prob of picking 1 e and 1 m when two letters picked without replacement from eefcmefbefbfem? 10/91 Three letters picked without replacement from wnlwllxwwl. What is prob of picking 2 w and 1 n? 1/20 Calculate prob of picking 2 j and 1 r when three letters picked without replacement from rrrrrrrrrrrjrrrjrrrr. 3/190 Four letters picked without replacement from cccccocococvcoccoccc. What is prob of picking 4 o? 1/969 Calculate prob of picking 1 u and 1 x when two letters picked without replacement from vuuvuuuxauvuaa. 1/13 Calculate prob of picking 2 l when two letters picked without replacement from pnllllnlnn. 2/9 What is prob of picking 2 t when two letters picked without replacement from {i: 2, t: 2, e: 1, x: 6}? 1/55 Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 2, f: 1, x: 4, y: 8, u: 1}. 1/60 Two letters picked without replacement from rrrwrrrrwrsrsrr. What is prob of picking 1 w and 1 r? 22/105 What is prob of picking 3 w when three letters picked without replacement from {h: 4, w: 7}? 7/33 Four letters picked without replacement from {u: 3, h: 6, w: 4, z: 4}. Give prob of picking 1 w, 2 u, and 1 z. 12/595 Two letters picked without replacement from ttflttlttttfttff. Give prob of picking
{ "pile_set_name": "DM Mathematics" }
*3/6 + 2*l**2 + 89*l. Determine j(-2). 2 Let h(s) = s**3 - 3*s**2 - 81*s - 84. Let j be h(11). Let k(q) = q**3 + 3*q**2 + 5*q - 1 + 5*q**2 + q. Determine k(j). 6 Let o(j) = -j**2 + 6*j + 10. Let b be o(7). Let u(x) = -8 + 4*x + 6*x + 8*x - 20*x. Let h(y) = -y - 1. Let g(c) = 4*h(c) - u(c). What is g(b)? -2 Let g(f) = f - 1. Let o = 26 + -25. Let j = o - 1. Determine g(j). -1 Let c(z) = 10*z**2 - 568*z - 110. Let y be c(57). Let u(q) be the first derivative of 2*q**3/3 - 2*q**2 - 4*q - 1. Calculate u(y). 12 Let l(z) be the second derivative of z**5/20 + z**4 - z**3/6 - 3*z**2 + 79*z + 2. Determine l(-12). 6 Let f(l) be the first derivative of l**5/60 + l**4/12 + l**3/2 - 7*l**2/2 - 10. Let y(d) be the second derivative of f(d). Determine y(-4). 11 Suppose -5*j = h + 1, -h + 0*j - 7 = -j. Let x(p) = p**2 + 5*p + 5. Determine x(h). 11 Let n be 24/(-10) - 4/(-10). Let h(z) = -9*z**2 - 9*z + 7. Let w(b) = -2*b**2 - 2*b + 1. Let c(x) = 2*h(x) - 11*w(x). What is c(n)? 11 Let z = 80 + -52. Let v = -18 + z. Let h(p) = 1 - 6*p + v*p - 1. What is h(-2)? -8 Let l(j) = 12*j**2 - j. Suppose -4*u - 6 + 4 = -c, u = -5*c - 11. Determine l(u). 13 Let i(l) = -27 + 490*l - 489*l + 11. Calculate i(7). -9 Let z = 26 - 22. Let g(y) = 0 + 4 - z*y - 2 - 2*y + y**2. Suppose -4*q + 4*r = 4, r - 5*r + 28 = 4*q. Give g(q). -7 Let c(x) = x + 3. Let f(r) = r**2 - 22*r + 24. Let d be f(21). Suppose 3*s + 3*q + d = -0*s, 5*s - q - 25 = 0. Give c(s). 7 Let d(m) = -26*m + 4. Let u(z) = 8*z - 1. Let g(n) = 3*d(n) + 10*u(n). What is g(-4)? -6 Let p(r) be the third derivative of r**5/20 + 11*r**4/8 - 5*r**3/6 - 33*r**2. Determine p(-11). -5 Let v(i) = i + 1. Let a be v(-3). Let n(q) = q**2 + 8*q - 2. Let r be n(-13). Let o(t) = -3*t**2 - r*t - t**3 + 31*t + 29*t - 2. Give o(a). 0 Let y(d) = -d - 1. Let w(k) = 4*k - 4*k**2 - 8*k + 3*k**2 - 3. Suppose 114*t - 12 = 118*t. Let u be w(t). Calculate y(u). -1 Let c(o) = -o**2 + 6*o + 14. Let t(p) = -10*p + 198. Let v be t(19). Calculate c(v). -2 Let p(o) = o**3 + 2*o**2 + o. Suppose -4*i - 20 = x - 6*x, 0 = -5*i + 5*x - 20. Determine p(i). 0 Let n(z) = -z**2 + 38. Let t(h) = h**2 - 17. Let s(v) = 4*n(v) + 9*t(v). What is s(-2)? 19 Let b(u) = u**2 + u**2 - 8*u**2 - u**3 - 2*u. Let k(h) = -2*h + 49. Let m be k(22). Suppose m*r + 39 - 9 = 0. What is b(r)? 12 Let q(c) = c + 19. Let l = 522 + -532. Determine q(l). 9 Let w(t) = -5*t + 3. Let y(b) = b**3 + 5*b**2 + b - 4. Let i be y(-4). Suppose 2*u = -2*u + i. Suppose 0 = 5*d - u*a - 10, a = -2*d + 4*a + 4. Calculate w(d). -7 Suppose -p = -7*p - 54. Let c = p + 16. Let j(n) = 4 - 9*n**3 - c*n**3 + 15*n**3 + 5*n**2 - 7*n. What is j(4)? -8 Let m(d) = -6*d + 7*d + 15 + 0 - 9. Give m(5). 11 Let h(x) = 4*x**2 - 2*x + 1. Suppose 4 = -2*q + 6. Let v be (0 + -2 + q)*-1. What is h(v)? 3 Let q be (-60)/(-28) - 4/28 - -25. Let b(v) = 4*v**2 + q*v - 3*v**2 - 1 - 24*v. What is b(-5)? 9 Let h(b) = -b**3 - 5*b**2 + b - 2. Let w(o) = 3*o**3 + 9*o**2 - 2*o + 3. Let n(z) = 5*h(z) + 2*w(z). What is n(7)? 3 Let o = -95 + 208. Let s = 108 - o. Let j(d) = d**3 + 5*d**2 + 3*d - 1. What is j(s)? -16 Let a(d) be the second derivative of -d**3/3 + d**2/2 + 4*d. Suppose -5*s + 10 = 0, -3 + 1 = 5*l - s. Suppose l = -w + 18 - 12. What is a(w)? -11 Let q = 96 - 100. Let k(p) = 0 + p**3 - 6*p - 1 - 2 + 2*p**2 + p**2. What is k(q)? 5 Let h = 103 + -98. Let n(c) = c**3 + h + 10*c**3 + c**2 - 10*c**3. Determine n(0). 5 Let d(q) be the first derivative of 5*q**3/3 + 27*q**2/2 - 8*q + 369. Calculate d(-6). 10 Let n(y) be the third derivative of 1/24*y**4 + 6*y**2 - 2/3*y**3 + 0 + 0*y. Let z be ((-2)/8)/(1/(-20)). What is n(z)? 1 Suppose -w = 3*w - 4*v + 4, -v = -3*w - 1. Let x(l) be the first derivative of 4 - 2*l + 1/4*l**4 - 1/3*l**3 - 1/2*l**2. Give x(w). -2 Let h(c) = 13*c + 50. Let q be h(-4). Let i(x) = 3*x - 2. Calculate i(q). -8 Let p(x) be the second derivative of -x**4/12 + x**3/3 - 3*x**2 - 200*x. What is p(-4)? -30 Let x(p) = -p - 15. Let g(y) = y + 13. Let l(b) = 3*g(b) + 2*x(b). Give l(-10). -1 Let l(a) = -5*a - 7. Let z be l(-2). Let j(t) = -2*t**2 + 2*t**z + 3*t**2 + t**2 + 23*t**3 + t. What is j(-1)? -24 Let t(a) = -2*a - 10. Let i be t(-6). Let v(b) = -b**i + 2 + 3 - 9 - b**3 + 7*b**2. Give v(6). -4 Let x(d) = -d**3 + 10*d**2 + 2*d - 13. Let v = -27 - -9. Let o = -8 - v. What is x(o)? 7 Let d be (-1)/(-2) - (-15)/10. Suppose -2*s - 14 = -6, d*s + 35 = -3*b. Let l be (-42)/(-8) + b/36. Let u(v) = v + 3. Calculate u(l). 8 Let n(m) be the first derivative of 18 + 2*m + 7/2*m**2 - 1/4*m**4 + 5/3*m**3. Calculate n(6). 8 Let r be 3/(-15) + 9/(-5). Let k be r*(-3 - (-3 - 2)). Let l(j) be the third derivative of j**5/60 + j**4/24 - 2*j**3/3 - 4*j**2. Calculate l(k). 8 Let a(r) be the second derivative of -17*r - 2*r**2 + r**3 + 0 - 1/12*r**4. Determine a(3). 5 Let b(r) = -r**3 + 39*r**2 - 107*r - 48. Let n be b(36). Let g(z) = -z**2 - 13*z - 15. What is g(n)? -3 Let z(h) be the second derivative of h**3/6 - 6*h**2 - h - 32. Calculate z(-8). -20 Let x(q) = -q**3 - 8*q**2 - 7*q - 3. Let w = 951 - 958. Give x(w). -3 Let b(s) = s**2 + 6*s - 9. Let x(h) = -h - 8. Let m be x(0). What is b(m)? 7 Let a be 2*(-3)/(-6) + -6. Suppose 4*x - m - 2 = -4*m, -m - 6 = -2*x. Let c(d) = -3*d**2 - 7 - 6*d + d**2 + d**x. What is c(a)? -2 Let h(v) = -v**2 - v + 5. Let s = 240 - 244. Give h(s). -7 Let r(d) = d**2 + 2. Let n be r(0). Let t(p) = 6*p**2 - 8*p + 36. Let a(x) = x - 7. Let c(j) = 5*a(j) + t(j). Calculate c(n). 19 Let f be 51/15 - (188/20 + -9). Let m(p) = -2*p - 6. Give m(f). -12 Let l(y) = y**3 - 7*y**2 - y + 10. Suppose -17 = -4*b + 63. Let w be (-33)/(-6) + 2/4. Suppose 2*f + w = b. Determine l(f). 3 Let d be 2/((-32)/36)*48/9. Let w(l) = 2*l + 22. Calculate w(d). -2 Let c(w) = -w + 22. Let j be 4 - -1 - (-14 + (15 - 6)). Determine c(j). 12 Let z be -5 + -1 + 11 - -4. Let w(v) = -v**3 + 9*v**2 - v + 5. Give w(z). -4 Let w(q) = -2*q**3 - 2*q**2 + 2*q + 2. Let b(a) = -3*a**3 + 3*a**2 - 4. Let m be b(2). Let p be (-26)/(-4) + m/32. Let x = -4 + p. Calculate w(x). -18 Let p(d) be the first derivative of -22 + d**2 + d + 1/3*d**3 - 9/4*d**4. What is p(-1)? 9 Let t(d) = 81*d**2 + 3*d. Let g be t(-1). Let a(r) = 3*r - g + 145 - 70. Calculate a(3). 6 Let q(h) = -h - 2. Suppose 5*v = -13*v - 18. Determine q(v). -1 Let o(i) be the second derivative of 0*i**2 + 0*i**3 - 5/6*i**4 + 24*i + 0. What is o(1)? -10 Suppose -53 = -4*x + 31. Let t(r) = -2 - r**2 + 22*r + x*r - 49*r - 1. What is t(-4)? 5 Let c(x) = -x - 12. Let u be 252/8*12/18. Suppose -20*f + 10 = -u*f. Calculate c(f). -2 Suppose 8*j = 1743 - 1671. Let c(f) = -f**3 + 8*f**2 + 10*f - 6. Calculate c(j). 3 Let o(q) be the first derivative of q**2/2 - q + 21. Let c(l) = 2*l - 4. Let n(x) = c(x) - 3*o(x). What is n(-1)? 0 Let v(t) = -3*t**3 - 2*t**2 - 7*t - 3. Let o(p) = 2*p**3 + 3*p**2 + 6*p + 1. Let f(k) = 4*o(k) + 3*v(k). What is f(6)? 13 Let z(w) = 2*w**2 + 7*w + 5. Let j be 44/(-9)*-3*(-72)/16. Let o = 61 + j. Calculate z(o). 20 Let y(v) = -v**2 - 12*v - 33. Let m be y(-8). Let h(q) be the third derivative of 5*q**4/8 - q**3/6 + q**2. Calculate h(m). -16 Let c(g) = g**2 + 3*g - 2. Let b = -275 + 271. Give c(b). 2 Let p(m) = -m**3 - 6*m**2 + m + 7. Let c = -55 - -58. Let t(u) = -u**3 + 7*u**2 - u + 7. Let q be t(7). Suppose q = -n - c - 3. Calculate p(n). 1 Let j(c) = -c + 19. Let m(b) = -b + 10. Let f(d) = -6*j(d) + 11*m(d). Let p be f(-2). Let i(u) = -u**2 + 7*u - 1. Give i(p). 5 Let h(m) = m**3 + m**2 - m + 10. Suppose 4*z - 9 = -n - 38, -5*n = -4*z - 47. Let j be 6/z - 30/(-40). Calculate h(j). 10 Let f(b) = -2*b - 3 + 2 - 8*b - 1. Let c be f(-1). Let j(z) = c*z + 7 - 4 - z. Give j(-2). -11 Suppose 17*a - 25 - 26 = 0. Let y(t) be the second derivative of 4*t + t**2 + 0 + 0*t**a - 1/10*t**5 - 1/4*t**4. What is y(-2)? 6 Suppose 30 = 9*b - 6. Let a(x) = 2*x + 3 - 5*x - b*x**2 + 5*x**2. Give a(4). 7 Let y(n) = n**2 + 9*n + 2. Suppose 4*w = 4*l + 52, 5*l = 4*w - 35 - 25. Give y(l). -6 Let i(u) = -u - 10. Suppose -4*d = -0*l - 2*l + 34, -2*l + 31 = -3*d. Suppose -3 = 3*q, 0*k - 3*k = -4*q + l. Determine i(k). -5 Let a(f) = f**3 - 14*f**2 + 13*f - 6. Suppose 0 = -2*x + 2*l + 3*l + 31, 3*x - 35 = -4*l. What is a(x)? -6 Let n(y) be the third derivative of -1/30*y**5 + 1/12*y**4 +
{ "pile_set_name": "DM Mathematics" }
of 2/15*t**6 + 0 - 7*t + 0*t**3 + 0*t**2 + 0*t**4 - 1/5*t**5. Find n, given that j(n) = 0. 0, 1 Let q(h) be the first derivative of h**5/30 + h**4/24 + 78. Determine c so that q(c) = 0. -1, 0 Factor -37/4*p - 19/2 + 1/4*p**2. (p - 38)*(p + 1)/4 Let 82/7*x**3 + 4/7*x**2 - 16/7*x + 0 - 10*x**4 = 0. What is x? -2/5, 0, 4/7, 1 Suppose 3*u + 16 = 2*x, -4*u - 3 = 3*x + 7. Let l be -6 + ((-516)/(-39))/2. Determine k, given that -10/13*k**x - l - 2/13*k**3 - 16/13*k = 0. -2, -1 Factor 0*y**2 + 9/8*y - 3/8*y**3 + 3/4. -3*(y - 2)*(y + 1)**2/8 Let c(t) be the second derivative of 25*t + 0*t**2 + 3/40*t**6 + 0 - 17/40*t**5 + 7/12*t**4 + 1/3*t**3. Find i such that c(i) = 0. -2/9, 0, 2 Find n such that 0 - 32/7*n**2 - 6/7*n**3 + 12/7*n**4 + 2/7*n**5 + 24/7*n = 0. -6, -2, 0, 1 Let k be 4/(-4 + -8) + 1/1. Let a = 86/57 + -16/19. Determine p, given that a*p**2 - 4/3*p + k = 0. 1 Let u be 1 + (-12)/(-1)*(-33)/6. Let y = u + 131/2. Factor 1/2 + y*f - 1/2*f**2 - 1/2*f**3. -(f - 1)*(f + 1)**2/2 Let a(x) = -9*x**3 + 9*x**2 - x + 1. Let z(c) = 2*c**3 - c**2 - 1. Let t(n) = -2*a(n) - 10*z(n). Factor t(s). -2*(s - 1)*(s + 1)*(s + 4) Let k = -27 + 29. Solve 3*a - k*a + 7*a + a**2 + 4 + 12 = 0 for a. -4 Let w(d) = -10*d**4 + 10*d**3 + 10*d**2 - 10. Let k(u) = 11*u**4 - 12*u**3 - 10*u**2 + 11. Let n(h) = -5*k(h) - 6*w(h). Factor n(p). 5*(p - 1)**2*(p + 1)**2 Let 251*o**2 - 98 - 122*o**2 - 131*o**2 + 28*o = 0. Calculate o. 7 Let j(s) be the second derivative of s**4/84 + 5*s**3/21 + 9*s**2/14 + 124*s. Factor j(f). (f + 1)*(f + 9)/7 Let c(t) be the first derivative of -t**4 - 8*t**3/3 + 8*t**2 + 32*t - 67. Factor c(l). -4*(l - 2)*(l + 2)**2 Let f(k) = -k**3 + 27*k**2 - 2*k + 842. Let q be f(28). Suppose p + 0 + 1/3*p**q = 0. What is p? -3, 0 Suppose 3*h**4 + 17/3*h**2 + 0 + 4/3*h + 22/3*h**3 = 0. What is h? -1, -4/9, 0 Factor 3913*v**2 - 33*v**4 + 216*v**3 + 63*v**4 - 997*v**2 - 26*v**4. 4*v**2*(v + 27)**2 Suppose 186 = 2*y - 32. Let f = -105 + y. Factor 0*t**2 + t**3 - 1/2*t**5 + 0*t**f - 1/2*t + 0. -t*(t - 1)**2*(t + 1)**2/2 Let u(g) be the second derivative of -g**7/210 - g**6/45 + 2*g**5/15 + 4*g**4/3 + g**3/3 - 4*g. Let z(q) be the second derivative of u(q). Factor z(n). -4*(n - 2)*(n + 2)**2 Solve -75*w + 29 + 3*w**2 - 85*w - 49*w + 103 + 74*w = 0. 1, 44 Let i(r) be the second derivative of 8*r**7/105 - r**6/30 - 3*r**2 + 12*r. Let w(m) be the first derivative of i(m). Determine k so that w(k) = 0. 0, 1/4 Let h = 1273/350 + -24/175. Solve -2/3*q + 11/6*q**4 - 1/3*q**5 + 0 + 8/3*q**2 - h*q**3 = 0 for q. 0, 1/2, 1, 2 Suppose 5*p - 657 = -227. Suppose 0*k + 4*k - 3*j - 90 = 0, p = 4*k - 5*j. Factor 57*x**3 - k - 162*x**2 + 80*x - 9*x**4 + 28*x + 36*x**2. -3*(x - 2)**3*(3*x - 1) Let a(w) be the third derivative of 2*w**7/945 - 11*w**6/270 + 4*w**5/15 - 8*w**4/27 - 128*w**3/27 - 103*w**2. Factor a(o). 4*(o - 4)**3*(o + 1)/9 Let y = 1062 + -1062. Let 0*z**2 + y*z + 0 + 2/21*z**4 + 2/21*z**3 = 0. Calculate z. -1, 0 Let w(u) be the second derivative of -1/110*u**5 + 7*u + 0*u**3 + 0*u**2 + 1/33*u**4 - 2/165*u**6 + 0 + 1/231*u**7. Find p such that w(p) = 0. -1, 0, 1, 2 Let g(y) be the third derivative of y**7/70 - 3*y**6/20 + 11*y**5/20 - 3*y**4/4 + y**2 + 19*y. Factor g(w). 3*w*(w - 3)*(w - 2)*(w - 1) Let x(n) be the second derivative of n**3/6 + 9*n**2 + n - 10. Let k be x(-18). Factor 0*r - 2*r**3 + 0 + 4/3*r**2 + k*r**4 + 2/3*r**5. 2*r**2*(r - 1)**2*(r + 2)/3 Let o(q) = -q**4 - q**3 - q**2 + q + 1. Let z(x) = -4*x**4 - 24*x**3 - 72*x**2 - 48*x + 2. Let r(j) = 2*o(j) - z(j). Suppose r(w) = 0. Calculate w. -5, -1, 0 Suppose -4/7*r + 10/7*r**2 + 2/7*r**3 - 48/7 = 0. What is r? -4, -3, 2 Let b = -4444/1589 - -5/454. Let a = 23/7 + b. Factor -1/4*z**2 + 0 - a*z. -z*(z + 2)/4 Let d = -34 + 37. Factor 37*n**3 - d*n**2 - 33*n**3 + 7*n**2. 4*n**2*(n + 1) Let z(t) be the second derivative of -13/4*t**4 - 2*t**3 + 0 + 15*t - 3/4*t**5 + 6*t**2. Factor z(b). -3*(b + 1)*(b + 2)*(5*b - 2) Let u(w) = 204*w + 1025. Let h be u(-5). Let x(g) be the third derivative of -1/4*g**4 - 13*g**2 + 0 + 0*g**3 + 1/20*g**h + 0*g. Factor x(f). 3*f*(f - 2) Let y(w) be the second derivative of -w**7/77 + 14*w**6/165 + 14*w**5/55 - 4*w**4/11 + 234*w. Determine d, given that y(d) = 0. -2, 0, 2/3, 6 Let r(a) be the second derivative of a**4/72 + 13*a**3/12 + 117*a. Factor r(p). p*(p + 39)/6 Let b(c) be the first derivative of -10/3*c**3 - 9 + c**2 + 3/2*c**4 + 2*c. Let b(f) = 0. What is f? -1/3, 1 Let h(q) = 4*q**4 - 10*q**3 + q**2 + 25*q. Let j(x) = -x**4 - x**3 - 2*x. Let u(t) = -h(t) - 5*j(t). Factor u(o). o*(o - 1)*(o + 1)*(o + 15) Let l(c) be the first derivative of c**5 - 23*c**4/4 + 10*c**3 - 2*c**2 - 8*c + 228. Factor l(j). (j - 2)**2*(j - 1)*(5*j + 2) Suppose 5*g - 5 = 5. Factor -3*s**5 - 8*s**3 - 6*s**g - 9*s + 12*s**3 + 6 + 8*s**3. -3*(s - 1)**3*(s + 1)*(s + 2) Let a(g) be the second derivative of -7 - 4*g + 1/4*g**4 - 27/2*g**2 - 4*g**3. Let a(d) = 0. What is d? -1, 9 Factor 49*n**2 + 192*n - 18085*n**3 + 18089*n**3 + 144 + 3*n**2. 4*(n + 1)*(n + 6)**2 Find p, given that -2/7*p**3 - 2/7*p + 4/7*p**2 + 0 = 0. 0, 1 Let t(s) be the second derivative of -s**4/3 - 4*s**3 - 10*s**2 + 2*s + 13. Let t(u) = 0. What is u? -5, -1 Suppose 0 = 83*k - 85*k - 4*w + 32, -2*k = 2*w - 18. Factor -18*v**k - 54*v**3 - 3/2*v + 0. -3*v*(6*v + 1)**2/2 Let t(l) be the second derivative of -5/6*l**3 + 1/360*l**6 + 0 + 6*l + 0*l**2 - 1/60*l**5 + 0*l**4. Let z(u) be the second derivative of t(u). Factor z(n). n*(n - 2) What is g in -94*g**2 - 94*g**2 - 91*g**2 + 261*g**2 + 2 + 16*g = 0? -1/9, 1 Let o(p) = -p**2 + 22*p - 80. Let v be o(5). Let g(a) be the third derivative of 0 - 4*a**3 + 3/2*a**4 + 0*a + 1/40*a**6 - 3/10*a**5 - v*a**2. Factor g(m). 3*(m - 2)**3 Let j(q) be the second derivative of 1/20*q**5 + 20*q + 0 - 2/45*q**6 + 0*q**4 + 0*q**2 + 1/126*q**7 + 0*q**3. Let j(i) = 0. Calculate i. 0, 1, 3 Let o(b) = 54*b**4 - 42*b**3 - 96*b**2 - 32*b - 5. Let a(p) = -55*p**4 + 42*p**3 + 96*p**2 + 32*p + 6. Let r(q) = -5*a(q) - 6*o(q). Factor r(m). -m*(m - 2)*(7*m + 4)**2 Let d(z) be the third derivative of -z**9/12096 - z**8/2016 + z**7/1008 + z**6/72 - z**5/60 - 14*z**2. Let a(u) be the third derivative of d(u). Factor a(l). -5*(l - 1)*(l + 1)*(l + 2) Let j = 0 + 1. Suppose -28 = -27*a + 13*a. Factor a*t**2 - 14*t**2 + 38*t**3 + 14*t**4 + 1 - j. 2*t**2*(t + 3)*(7*t - 2) Let f(m) be the first derivative of 20/3*m**3 - 56/3*m**2 - 13/12*m**4 + 1/15*m**5 + 9 + 64/3*m. Find p, given that f(p) = 0. 1, 4 Let g(p) = -p**3 - 12*p**2 - 10*p + 14. Let z be g(-11). Factor 28*m + 4 + 30*m**2 + 16 + 17*m + 5*m**z. 5*(m + 1)**2*(m + 4) Factor 100*c + 767*c**2 - 751*c**2 + 4*c**3 + 346 - 304*c + 14. 4*(c - 3)**2*(c + 10) Let m = -6416 - -19268/3. Find t such that -22/3*t + m*t**3 - 4*t**4 + 2/3*t**5 + 0*t**2 + 4 = 0. -1, 1, 2, 3 Let b(w) be the first derivative of -w**7/840 - w**6/160 + w**4/24 + 7*w**2/2 + 9. Let v(u) be the second derivative of b(u). Let v(x) = 0. Calculate x. -2, 0, 1 Let b(k) be the second derivative of -1/22*k**4 + 0*k**3 + 1/55*k**5 - 2*k + 0 + 1/165*k**6 + 0*k**2. Factor b(f). 2*f**2*(f - 1)*(f + 3)/11 Let w = -4977 + 4980. Factor 1/3*r**2 + 0*r + 0 + 1/3*r**4 + 2/3*r**w. r**2*(r + 1)**2/3 Suppose 5*s - 49 = -3*o, 2*s = -13*o - 68 + 123. Find a, given that 3/4*a**2 + 0*a**4 - 3/4 - 3/2*a**o + 9/8*a + 3/8*a**5 = 0. -2, -1, 1 Let a(j) = -j**2 - 14*j - 36. Let l be a(-9). Let t(y) = 3*y**2 - 29*y + 20. Let x be t(l). Factor 5/3*g - 5*g**x + 10/3. -5*(g - 1)*(3*g + 2)/3 Let c(b) = -b**3 + 11*b**2 - 12*b + 22. Let v be c(10). Let a(o) be the first derivative of -8/21*o**3 + 5 + 0*o - 1/7*o**v. What is m in a(m) = 0? -1/4, 0 Let k(w) be the third derivative of -w**6/120 + w**5/20 - w**4/8 - w**3 + 9*w**2. Let n(l) be the first derivative of k(l). Factor n(f). -3*(f - 1)**2 Suppose 20 = 3*q + 8. Let v(f) be the first derivative of -3 - 2/5*f**5 - 4*f**2 - 2*f**3 + 2*f**q + 8*f. Factor v(o). -2*(o - 2)**2*(o - 1)*(o + 1) Let z = -471 + 473. Let y(i) be the second derivative of 8*i - 1/18*i**5 - 28/27*i**3 - 8/9*i**z + 0 - 11/27*i**4. Solve y(c) = 0. -2, -2/5 Let y = 799/146 + 2/73. Factor l**2 + 1/2*l**5 - 6*l + 3*l**4 - 4 + y*l**3. (l - 1)*(l + 1)*(l + 2)**3/2 Let p = 6/403 - -385/1209. Solve -2/3*z**2 + 0*z + 0*z*
{ "pile_set_name": "DM Mathematics" }
Let c(r) = r**3 - 103*r**2 - 307*r - 797. What is the remainder when c(106) is divided by i? 59 Let h = -314879 + 315392. Calculate the remainder when h is divided by (2/4)/((-2)/(-44)). 7 Let r(x) = 2*x**2 - 2. Suppose 4*s + 2256 = -0*s + 4*o, -5*o - 540 = s. Calculate the remainder when 18/(-8)*s/42 is divided by r(3). 14 Let g = 10904 + -10868. What is the remainder when 3347 is divided by g? 35 Suppose 159*y = 211*y - 4784. Calculate the remainder when 199 is divided by y. 15 Let a = -81 - -116. Suppose 4*o + o = a. What is the remainder when (-1)/3 - (9744/(-36))/29 is divided by o? 2 Let g = -89 - -107. Suppose 0 = -5*o - 0*o - 25, j + 5*o = -g. Let c = -18 - -26. What is the remainder when c is divided by j? 1 Suppose 5*w - 43 = -3*j, 2*j = -w + j + 7. Suppose -86 = -w*h + 68. Calculate the remainder when h is divided by 7. 0 Let n(b) = 8*b + 156. Let u = 85 + -104. Calculate the remainder when 78 is divided by n(u). 2 Calculate the remainder when 2118 is divided by 110/(-15)*(32/256 - 73/8). 6 Suppose -983 = -i + 4*z, -2*z + 3971 = 4*i - 5*z. Let h = i + -923. Calculate the remainder when 203 is divided by h. 59 Let n(w) = -3*w**2 + 4*w - 16. Suppose 3*u - 4*x - 2 - 3 = 0, -u - 10 = x. Let m be n(u). Let i = -57 - m. Calculate the remainder when i is divided by 14. 12 Calculate the remainder when 3363 + -10 + -1 - (9 - 0) is divided by 27. 22 Suppose 5*z - 3*k = 131, 2*z - 2*k - 53 = -k. Let q(f) = -3*f - 28. Let n(g) = g**2 + 9*g + 7. Let v be n(-6). What is the remainder when z is divided by q(v)? 3 Suppose 118 = -6*x + 4*x. Let u = 59 + x. Suppose 3*a - 93 + 57 = u. What is the remainder when 95 is divided by a? 11 Suppose 5*g - 4*p - 194 = 0, -1862*g + 414 = -1850*g - p. Calculate the remainder when 391 is divided by g. 17 Let u be 44/418 + (-2 - (-72)/38). Let a(k) = 2*k**3 - 2*k**2 - 4*k + 204. What is the remainder when a(u) is divided by 9? 6 Suppose 3*c = 3*t + 12, 0 = 4*c - 0*c - 5*t - 17. Suppose -3*s - 27 = -c*r, 6*r - 4*r + 5*s = -17. Calculate the remainder when 41 is divided by r. 1 Suppose 6*a - 4*o - 1672 = a, 2*a - 676 = -2*o. Calculate the remainder when a is divided by 41. 8 Let g be 2/(3/486*(-20)/15). Let f = g + 344. Suppose -3*m + 2*m + 26 = 0. What is the remainder when f is divided by m? 23 Let w = 11774 + -10787. Calculate the remainder when w is divided by 491. 5 Suppose 79 = 5*y + 5*j - 41, 2*y - 5*j = 90. What is the remainder when y is divided by (1 - 3)*6*-1? 6 Suppose g + 119 = 165. Let z(q) = -14*q + 124. What is the remainder when g is divided by z(8)? 10 Calculate the remainder when (-138)/(-23) - (2 + -1*7537) is divided by 184. 181 Suppose 44 = 2*p + i, -5*p - 5*i = -3*p - 60. Let c(y) = y**2 - 18*y + 2. Let q be c(p). Let s = -18 + q. What is the remainder when s is divided by 8? 0 Let m = 15 + -8. Suppose 2*l - 110 = m*l. Calculate the remainder when 95 is divided by (-1089)/l*4/6. 29 Let k(d) = 4*d + 5456. Calculate the remainder when k(-63) is divided by 31. 27 Let h = 436 - 302. Suppose 3*o + 42 = 3*z, -2 + 6 = 4*o. What is the remainder when h is divided by z? 14 Let f = -60 + 62. Suppose -f*j = -25 - 9. Suppose 0 = 6*i - j*i + 550. Calculate the remainder when 196 is divided by i. 46 Suppose 3*o - o = 0. Suppose 0 = 4*n - o - 12. Let a = 16 + n. What is the remainder when 75 is divided by a? 18 Let p = 1464 - 1376. Calculate the remainder when 199 is divided by p. 23 Let r(a) = -a**3 + 8*a**2 - 15*a + 7. Let v be r(5). Suppose -v*d - 24 + 465 = 0. Calculate the remainder when d is divided by 3. 0 Suppose 0 = -3*k + 6, -7*p + 10 = -3*p - k. Suppose -248 = -34*v + 534. Calculate the remainder when v is divided by p. 2 Suppose -85*u = -305*u + 143*u + 1078. Let f(i) = -4*i + 2*i**2 + 4 - 4. Calculate the remainder when u is divided by f(3). 2 Let i = -37 + 48. Suppose 3*u + 134 = -4*d + 380, 3*d + 5*u - 190 = 0. What is the remainder when d is divided by i? 5 Let j(m) = 1 + 0 + 13*m + 28*m. Suppose 3*u + 110 = -4*b + 9*b, b = -2*u + 22. Calculate the remainder when j(1) is divided by b. 20 Let v(i) = i**2 + 6*i - 4. Let p(t) = -28 + t**2 - 6*t + 13*t + 24 + 0*t**2. Let m(d) = 5*p(d) - 6*v(d). Calculate the remainder when 18 is divided by m(0). 2 Let t be 15 - -3 - (5 + -2 + -3). Suppose 14 - t = -l. What is the remainder when (-36)/(-144) + 1/l*259 is divided by 22? 21 Suppose -9*x - 98 = -13*x + 3*p, -40 = -2*x - 3*p. Calculate the remainder when 489 is divided by x. 6 Suppose -625 = 5*f + 4*n, -4*f - n = -2*f + 250. Let k = -118 - f. What is the remainder when k is divided by 1? 0 Suppose -119*t + 829 + 339 = -115*t. Calculate the remainder when t is divided by 236. 56 Let q = 92 - 155. Let y = -57 - q. Suppose y*l - 117 - 33 = 0. Calculate the remainder when l is divided by 3. 1 Let k = 586 - 418. Suppose -25*b + k = -18*b. What is the remainder when b is divided by 7 + -5 + 2 + 1? 4 Suppose -2 = -9*j + 244 + 15. What is the remainder when 2433 is divided by j? 26 Let f = -328 - -325. Calculate the remainder when 3012/48 - f/12 is divided by 16. 15 Suppose -2183 = -14*k + 1765. Calculate the remainder when k is divided by 9. 3 Calculate the remainder when (-8)/6 + (-10575)/(-135) is divided by 21. 14 Suppose -209*x - 65444 + 176005 = 0. Calculate the remainder when x is divided by 20. 9 Let m be 6 + ((-2)/((-4)/6) - 5). Suppose 2*w + d - 16 = m*d, -d - 38 = -3*w. Let f = w - -16. Calculate the remainder when 117 is divided by f. 27 Suppose 117*u - 112*u - 10 = 0. Suppose -u*x = -2*o - 22, 5*o - 2*x + 53 = x. Let f(n) = -n + 10. What is the remainder when f(o) is divided by 5? 0 Calculate the remainder when 1214 is divided by 1530/40 + (-1)/4. 36 Suppose 32*t + 0*t = 96. Suppose -5*w + 65 = 3*g, t*g = -17 + 2. Suppose -f = -5*d - 73, -2*d = 3*f - 122 - 63. What is the remainder when f is divided by w? 15 Let u be 2 + -2 + 6 + -5. What is the remainder when (u - -499)*13/((-325)/(-10)) is divided by 51? 47 Suppose -5*h = b + 38 - 30, 2*b - 5*h = 29. Suppose -s - 86 = -2*g, -b - 1 = -2*s. Calculate the remainder when g is divided by 32. 13 Let i(d) = -4*d**2 - 3 - 7*d**3 + 7*d + 20*d**3 - 5 - 9*d**3. What is the remainder when i(2) is divided by 16? 6 Suppose -4*k - 242 + 770 = 0. Suppose -8995 = -182*o + 4171 - 4794. Calculate the remainder when k is divided by o. 40 Suppose -65 = -5*v + 5*m + 35, -3*v - m = -40. Let x be (-2 - -5)*(-7)/(-12)*4. What is the remainder when 2/11 - ((-1690)/22 + x) is divided by v? 10 Suppose 8*d - 837 = 11*d - 1434. What is the remainder when d is divided by 40? 39 Let d = -8044 - -8360. What is the remainder when d is divided by 288? 28 Suppose -17 = -9*r + 1. Suppose -6 = 4*y + r, 5*q - y - 232 = 0. Calculate the remainder when 134 is divided by q. 42 Let z(n) be the second derivative of -5/6*n**3 - 19*n + 1/12*n**4 + 4*n**2 + 0. Calculate the remainder when 28 is divided by z(5). 4 What is the remainder when 234 is divided by (-920)/(-69)*18/4? 54 Calculate the remainder when 112 is divided by (8*5/25)/(252/(-260) + 1). 8 Let n(c) = 5*c**2 + 30*c - 35. Let j be n(-7). Suppose -1188 = -9*k - j*k. Calculate the remainder when k is divided by 58. 16 Let c = 127 + -12. Suppose 13*x - c = 8*x. What is the remainder when 58 is divided by x? 12 Let w be 108/378 - ((-19946)/14 + 1). Suppose 0 = -25*y + 9*y + w. Calculate the remainder when y is divided by 25. 14 Let v = -204 - -229. Suppose 0 = -v*o + 32 + 318. What is the remainder when 47 is divided by o? 5 Let h = 135 - 159. What is the remainder when h/9*30/(-4) is divided by 2? 0 Suppose 1271*f = 1245*f + 29016. Calculate the remainder when f is divided by 74. 6 Calculate the remainder when (256/12)/((-64)/(-672)) is divided by 53. 12 Suppose 5*h = -66 - 134. Let p(i) = -i**3 - 17*i**2 + i - 16. Let s be p(-17). Let c = s - h. Calculate the remainder when c is divided by 6. 1 Suppose u - 330 - 157 = 0. Suppose -j + 5*m = -99 + 71, -j + 24 = -4*m. Calculate the remainder when u is divided by j. 7 Suppose 0 = -8*v - 126 + 366. What is the remainder when v is divided by 4/(-6)*-39*4/8? 4 Let a(t) = 2*t**2 + 15 + t - 4*t - 19 + 2*t**2. Let g be a(-3). Let f = g + -30. Calculate the remainder when f is divided by 6. 5 Suppose 0 = 5*n + 2*f + 8, 0*n + 12 = 2*n - 3*f. Suppose n*k - 5*k - 65 = 0. Let v = k - -35. C
{ "pile_set_name": "DM Mathematics" }
ed without replacement from gixckcokxcxcc. What is prob of picking 1 o, 1 k, and 1 g? 1/143 Calculate prob of picking 2 e when two letters picked without replacement from {b: 5, n: 4, e: 2, z: 2}. 1/78 Three letters picked without replacement from {m: 2, i: 4, w: 5, e: 2}. What is prob of picking 1 w and 2 i? 15/143 Two letters picked without replacement from {v: 5, o: 1, i: 2, m: 1, b: 3, l: 3}. What is prob of picking 1 v and 1 i? 2/21 Two letters picked without replacement from {h: 1, i: 2, z: 1}. Give prob of picking 1 z and 1 i. 1/3 Two letters picked without replacement from {d: 1, a: 1, o: 4, f: 7}. Give prob of picking 2 o. 1/13 Three letters picked without replacement from {w: 6, d: 3, v: 2, t: 1, m: 3}. What is prob of picking 3 d? 1/455 Calculate prob of picking 3 u when three letters picked without replacement from {w: 2, u: 6}. 5/14 Three letters picked without replacement from kkkrkkkrkkkkkkkkkkk. What is prob of picking 2 r and 1 k? 1/57 Two letters picked without replacement from qmmz. What is prob of picking 1 q and 1 z? 1/6 Two letters picked without replacement from xxrxxrxxxxxxxxxxrxr. Give prob of picking 1 r and 1 x. 20/57 Calculate prob of picking 2 a and 1 r when three letters picked without replacement from raararrrraaaarrr. 27/80 Two letters picked without replacement from qcqccccqqqcqq. Give prob of picking 2 c. 5/26 What is prob of picking 2 b when two letters picked without replacement from {s: 1, z: 2, b: 2}? 1/10 What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 9, w: 1, e: 4}? 36/91 Four letters picked without replacement from {v: 5, g: 7, t: 2}. Give prob of picking 2 t, 1 v, and 1 g. 5/143 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {m: 2, v: 3, x: 5, y: 3}. 5/26 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 4, y: 1, d: 2, f: 3}. 4/45 Two letters picked without replacement from tbtbnrnnnnntl. What is prob of picking 1 n and 1 b? 2/13 Calculate prob of picking 2 f when two letters picked without replacement from frffhrfrh. 1/6 Four letters picked without replacement from {p: 13, j: 3}. What is prob of picking 2 j and 2 p? 9/70 Calculate prob of picking 3 r and 1 o when four letters picked without replacement from {r: 3, o: 4, m: 2, y: 1}. 2/105 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {t: 1, n: 1, o: 2, f: 1, u: 1, l: 2}. 1/28 What is prob of picking 1 p and 1 w when two letters picked without replacement from {p: 3, w: 5, h: 2, b: 5}? 1/7 Three letters picked without replacement from {w: 2, m: 2, c: 8, s: 3}. Give prob of picking 1 m, 1 w, and 1 c. 32/455 Calculate prob of picking 3 k when three letters picked without replacement from jejeeekpjpjkkjcj. 1/560 Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {m: 1, j: 2}. 2/3 Three letters picked without replacement from {p: 1, k: 1, w: 3, u: 2, l: 3}. What is prob of picking 1 k, 1 w, and 1 p? 1/40 What is prob of picking 2 n when two letters picked without replacement from {n: 4, l: 2}? 2/5 Calculate prob of picking 1 h and 2 q when three letters picked without replacement from zqqhnnnznqnhq. 6/143 Calculate prob of picking 2 g when two letters picked without replacement from {i: 3, g: 3, t: 2, h: 4, c: 1, d: 4}. 3/136 Four letters picked without replacement from rrrrrr. What is prob of picking 4 r? 1 What is prob of picking 1 x, 1 i, and 1 z when three letters picked without replacement from xziz? 1/2 Calculate prob of picking 2 n when two letters picked without replacement from nnbjtmbj. 1/28 Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {a: 1, w: 1, f: 6, g: 2, i: 5, s: 2}. 15/68 Calculate prob of picking 1 i and 1 b when two letters picked without replacement from bbbbibbbbbbibbbbbb. 32/153 Four letters picked without replacement from {h: 11, x: 5}. Give prob of picking 4 h. 33/182 Two letters picked without replacement from uxxiu. Give prob of picking 2 x. 1/10 What is prob of picking 1 t and 1 p when two letters picked without replacement from {t: 4, p: 4, m: 7}? 16/105 What is prob of picking 1 x and 1 f when two letters picked without replacement from {c: 1, x: 2, f: 1, d: 1}? 1/5 Two letters picked without replacement from iqvzq. Give prob of picking 1 v and 1 i. 1/10 Calculate prob of picking 1 r, 1 k, and 2 c when four letters picked without replacement from {c: 3, k: 1, a: 1, w: 6, l: 1, r: 1}. 3/715 Two letters picked without replacement from {t: 4, x: 2}. What is prob of picking 2 t? 2/5 Three letters picked without replacement from {o: 3, e: 9}. Give prob of picking 2 o and 1 e. 27/220 Two letters picked without replacement from {r: 1, f: 4, l: 1, s: 1, w: 4, q: 1}. Give prob of picking 1 l and 1 r. 1/66 Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {b: 13, m: 3}. 13/40 Calculate prob of picking 1 d and 1 j when two letters picked without replacement from jrrjrjrjrjdjjrrrj. 1/17 What is prob of picking 2 a when two letters picked without replacement from {b: 1, t: 1, a: 2}? 1/6 Calculate prob of picking 3 k when three letters picked without replacement from kvvkvkvkkkk. 7/33 Three letters picked without replacement from {f: 3, d: 8}. What is prob of picking 3 f? 1/165 Calculate prob of picking 1 w and 1 p when two letters picked without replacement from dwdp. 1/6 Two letters picked without replacement from {s: 2, p: 3, x: 6, i: 1, v: 1}. Give prob of picking 2 p. 1/26 Two letters picked without replacement from {h: 3, p: 2, x: 2, y: 3, a: 5}. What is prob of picking 1 h and 1 p? 2/35 Four letters picked without replacement from {z: 4, r: 2}. Give prob of picking 2 r and 2 z. 2/5 Four letters picked without replacement from {i: 3, m: 4, p: 5}. Give prob of picking 1 m, 1 p, and 2 i. 4/33 What is prob of picking 2 s when two letters picked without replacement from {l: 1, s: 7, z: 2}? 7/15 Three letters picked without replacement from otfffhoxfffooxfih. Give prob of picking 1 x, 1 f, and 1 o. 7/85 Two letters picked without replacement from kjvnvvjvjjvj. What is prob of picking 1 n and 1 k? 1/66 Calculate prob of picking 2 s and 1 j when three letters picked without replacement from {j: 2, s: 7}. 1/2 Three letters picked without replacement from {u: 2, c: 4, w: 4}. Give prob of picking 1 c, 1 w, and 1 u. 4/15 Two letters picked without replacement from eeeeeeezeezeeeeeeee. What is prob of picking 2 z? 1/171 Two letters picked without replacement from jajaajjjaj. Give prob of picking 2 j. 1/3 Two letters picked without replacement from ipvvvpvivvvip. What is prob of picking 2 v? 7/26 What is prob of picking 1 r and 1 p when two letters picked without replacement from rzzhzpc? 1/21 Calculate prob of picking 2 c when two letters picked without replacement from {c: 12, h: 1, e: 1}. 66/91 Calculate prob of picking 1 x, 1 l, and 1 b when three letters picked without replacement from {x: 2, l: 2, b: 1, h: 2, e: 3, s: 2}. 1/55 Two letters picked without replacement from {a: 3, b: 1, f: 6, j: 5, s: 2}. Give prob of picking 1 j and 1 f. 15/68 What is prob of picking 3 a when three letters picked without replacement from {a: 11, u: 1}? 3/4 Four letters picked without replacement from hsydddddhdddd. Give prob of picking 1 d, 2 h, and 1 s. 9/715 Three letters picked without replacement from {l: 10, s: 3, o: 1, g: 1}. What is prob of picking 1 g and 2 s? 3/455 What is prob of picking 2 l when two letters picked without replacement from leiixwxlxixx? 1/66 Four letters picked without replacement from {v: 1, d: 1, x: 3, u: 2, b: 3, m: 1}. What is prob of picking 2 u, 1 v, and 1 d? 1/330 Two letters picked without replacement from yyjyyujrjjevev. What is prob of picking 1 u and 1 y? 4/91 Two letters picked without replacement from hhmhphmvmh. What is prob of picking 1 p and 1 m? 1/15 Two letters picked without replacement from nbtnttt. What is prob of picking 1 t and 1 n? 8/21 Calculate prob of picking 2 l when two letters picked without replacement from {l: 9, d: 11}. 18/95 What is prob of picking 1 u and 2 p when three letters picked without replacement from {y: 4, m: 3,
{ "pile_set_name": "DM Mathematics" }
. -480*p**3 Let d(p) be the second derivative of 5*p**7/42 + 5*p**3/3 - 5*p. What is the second derivative of d(t) wrt t? 100*t**3 Let s(o) = -o**5 - o**4 + o**2 + 1. Let y(r) = -21*r**5 - 12*r**4 + 24*r**2 + 12. Let d(i) = -12*s(i) + y(i). What is the third derivative of d(v) wrt v? -540*v**2 Let c(d) be the third derivative of -d**6/120 - d**5/20 + 7*d**3/6 + d**2 - 14*d. What is the third derivative of c(f) wrt f? -6 Suppose 2*w + 0 = 6. Let c be (w/5)/((-3)/(-15)). What is the second derivative of c*j**4 + 3*j**4 - 4*j - 3*j**4 + 0*j**4 wrt j? 36*j**2 Let r(m) = -m**3 - 6*m**2 + 8*m + 10. Suppose 17 = -3*j - 4. Let a be r(j). Find the second derivative of 4*g**3 + 0*g**3 - a*g**3 - 2*g**3 + 3*g wrt g. -6*g Find the second derivative of -17*v + 3*v**5 - 14*v**5 - 235*v**4 + 235*v**4 wrt v. -220*v**3 Let z(l) be the first derivative of 0*l**3 + 3 - 2*l - 2/5*l**5 + 0*l**4 + 0*l**2. Differentiate z(r) with respect to r. -8*r**3 Let n(g) be the third derivative of -1/60*g**5 + 0 + g**2 + 0*g**6 + 0*g - 1/336*g**8 + 0*g**7 + 0*g**3 + 0*g**4. Find the third derivative of n(b) wrt b. -60*b**2 Suppose -c = 3*d + 9, 5*c - 3 + 0 = -3*d. Differentiate -6*j**2 + 1 + 2 + c*j**2 wrt j. -6*j Let o(m) = -2*m + 14. Let l be o(6). Let z(i) be the third derivative of 0*i + 0 + 0*i**4 - 2*i**l - 1/3*i**3 - 1/30*i**5. Differentiate z(s) wrt s. -4*s Find the second derivative of -70*q**2 + 75*q**2 + 3*q + 2*q + q wrt q. 10 Let b(r) be the first derivative of r**6/180 + r**5/120 + 2*r**3/3 - 3. Let d(j) be the third derivative of b(j). Find the second derivative of d(u) wrt u. 4 Let g(b) = -b**2 + 7*b - 3. Let k be g(5). Suppose -3 = -2*l + k. Differentiate 3*w**4 - 2 + 0 - 5*w + l*w with respect to w. 12*w**3 Let h(v) = 4*v + 12. Let k(q) = -3*q - 11. Let w(b) = -6*h(b) - 7*k(b). Find the first derivative of w(z) wrt z. -3 What is the third derivative of 0*w**5 + 8*w**2 + 0*w**5 - 8*w**5 wrt w? -480*w**2 Suppose -i - 5 = y, -2*y + 0*y + 3*i + 15 = 0. Let b(c) = c - 7. Let x be b(7). What is the second derivative of x*s + 5*s - s**3 + y*s**3 - 3*s wrt s? -6*s Let m(w) be the third derivative of w**9/30240 + w**6/144 + w**5/20 - 5*w**2. Let h(d) be the third derivative of m(d). Differentiate h(p) wrt p. 6*p**2 Suppose t = o + 2*t, -5*o + 5*t = 0. Let f(w) be the first derivative of -1 - w**2 + o*w + 0*w**4 + 0*w**3 - 2/5*w**5. Find the second derivative of f(s) wrt s. -24*s**2 Let f(r) = -37*r - 9. Let j(p) = 56*p + 13. Let h(l) = 7*f(l) + 5*j(l). What is the first derivative of h(n) wrt n? 21 Let i(s) = 20*s**3 + 9*s**2 - 13. Let z(r) = 5*r**3 + 2*r**2 - 3. Suppose 2*k = -9 - 9. Let h(j) = k*z(j) + 2*i(j). Differentiate h(d) with respect to d. -15*d**2 Suppose 4*r - 6 - 2 = 0. What is the derivative of -1 + a**2 + 6*a**2 - r*a**2 wrt a? 10*a Let t(g) be the third derivative of 5*g**4/24 - 4*g**3/3 + 10*g**2. Differentiate t(z) with respect to z. 5 Let i(s) be the first derivative of -7*s**5/5 - 2*s**3/3 - 7. Find the third derivative of i(l) wrt l. -168*l Let a(p) be the second derivative of -p**4/4 - 3*p**2 + 11*p. Differentiate a(k) wrt k. -6*k Let f = -3 - -6. What is the derivative of 5 + 0 + f*z**2 - 3*z**2 - 7*z**2 wrt z? -14*z Let t(f) be the first derivative of f**2/2 + 10*f - 1. Let r be t(-8). What is the third derivative of -o**r + 3*o**5 + o**5 - 2*o**5 wrt o? 120*o**2 Let u(q) = 2*q. Let v(i) = i**3 + 2*i**2 - 3*i + 1. Let r be v(-3). Let y be u(r). Find the third derivative of -3*a**3 + 0*a**2 + a**y + a**3 wrt a. -12 Let i(z) = -z**2 - 5*z + 12 - 2*z - 2*z. Let y be i(-10). Differentiate 3 - y*s**3 + 0 - 4 + 0 with respect to s. -6*s**2 Let g(w) = -7*w**3 - 5*w**2. Let j(h) = 14*h**3 + 11*h**2. Let p be (-2)/4 - (-15)/2. Let s(t) = p*g(t) + 3*j(t). What is the third derivative of s(o) wrt o? -42 Let l(m) = 19*m**3 - 5*m**2 - 11*m - 5. Let c(s) = 9*s**3 - 2*s**2 - 6*s - 2. Let z(a) = -5*c(a) + 2*l(a). What is the second derivative of z(g) wrt g? -42*g Let m(j) be the third derivative of 13*j**6/60 + 8*j**3/3 - 14*j**2. What is the first derivative of m(o) wrt o? 78*o**2 Let o(p) be the first derivative of -4*p**3 - 17*p**2/2 + 19. What is the second derivative of o(t) wrt t? -24 Let o(p) be the first derivative of p**5/60 - p**4/8 - p**3/3 - 3. Let s(c) be the third derivative of o(c). Differentiate s(x) wrt x. 2 What is the second derivative of -30*y - 12*y - y**2 - 2*y - 3*y**2 wrt y? -8 Let m = 1 - -7. Suppose -3*c - m = -2*d + 13, 3*d = 4*c + 29. Differentiate -1 - 5 - d*o**3 + 2 - o**3 with respect to o. -12*o**2 What is the third derivative of -10*r**4 + 32*r**4 - 21*r**4 - 16*r**3 + 66*r**2 wrt r? 24*r - 96 Let h = -6 - -9. What is the third derivative of 4*p**6 + 4*p - h*p - p - 4*p**2 wrt p? 480*p**3 Let x(h) = h**2 + 3*h - 6. Suppose -2*v = 2*r + 12, -9 = 2*r - 0*v - v. Let p be x(r). Differentiate -2*t + 0*t - 2 + p*t wrt t. 2 Let s = 6 + -10. Let l be (4/16)/((-1)/s). What is the second derivative of -l + u + 1 + 2*u**2 wrt u? 4 Let c(j) = 5. Let w(t) = t**2 + 4. Let u be ((1 - 4) + 2)*-2. Let n(k) = u*w(k) - 3*c(k). What is the derivative of n(r) wrt r? 4*r Let a = 15 - 9. Suppose -o - 15 = -a*o. Find the third derivative of y**2 + y**3 - 3*y**3 + 0*y**o wrt y. -12 Let a be -2 + (-24)/(-3 + 0). What is the third derivative of -2*p**2 + 4*p**2 - 2*p**6 + p**a + 2*p**6 wrt p? 120*p**3 Let r = -2 + 4. Find the second derivative of 2*k**2 + 0*k**2 - 4*k + k**r wrt k. 6 Suppose -5*q = 5*a + 4 + 1, 0 = 3*q + 4*a + 6. Find the second derivative of 0*n + n - 3*n + 3*n + q*n**3 wrt n. 12*n Let z(d) be the third derivative of d**8/1680 - d**5/60 - d**3/3 + d**2. Let u(r) be the first derivative of z(r). Find the second derivative of u(c) wrt c. 12*c**2 Suppose -6 = -4*q + 6. Differentiate -2*i**4 - i**4 + 2*i**4 - q - 2*i**4 wrt i. -12*i**3 Let i(f) be the second derivative of f**4/8 - f**3/2 + 3*f**2/2 + 3*f. Let q(v) be the first derivative of i(v). Differentiate q(t) with respect to t. 3 Let g(u) = -u**4 - u**3 - u**2 + u - 1. Let r(x) = 4*x**4 - 2*x**3 - x**2 + 2*x - 2. Let p(z) = -4*g(z) + 2*r(z). What is the third derivative of p(f) wrt f? 288*f Let v(b) = -115*b**4 - 9*b**2 + 131*b - 9. Let t(m) = -29*m**4 - 2*m**2 + 33*m - 2. Let j(a) = 9*t(a) - 2*v(a). What is the second derivative of j(y) wrt y? -372*y**2 Let m(l) be the first derivative of 0*l**4 + 7 + 0*l**2 + 0*l + 8/5*l**5 - 3*l**3. Find the third derivative of m(k) wrt k. 192*k Let a(w) = w**2 - 11*w - 3. Let t be a(11). Let k = 5 + t. Find the third derivative of -i**4 + 3*i**k + i**4 - i**4 wrt i. -24*i Let n(c) = c**2 - 2*c - 2. Let t be n(-2). Let s be 8/(-6)*t/(-4). What is the third derivative of 5 - 5 - r**2 + s*r**5 wrt r? 120*r**2 Let d(h) = -26*h**5 - 18*h**2 + 5*h. Let s(c) = 26*c**5 + 18*c**2 - 6*c. Let y(i) = -6*d(i) - 5*s(i). What is the third derivative of y(f) wrt f? 1560*f**2 Let p(v) = -4*v - 3. Let t(d) = -d**2 + 2. Let n be t(2). Let a be p(n). What is the second derivative of 4*h**5 - 3*h**5 + 2*h - 2*h**a wrt h? -20*h**3 Let y(r) = -r**2 + r + 3. Let b be y(3). Let u be 1 + 2/((-3)/b). Find the third derivative of u*k**2 - 5*k**2 + 0*k**2 - 2*k**5 wrt k. -120*k**2 Let o(r) = r**4 + r**3 - r**2 + r - 1. Let t(s) = -9*s**4 - 11*s**3 + 15*s**2 - 11*s + 11. Let c(a) = 44*o(a) + 4*t(a). Find the third derivative of c(l) wrt l. 192*l Suppose -3*p + 0 = 2*h - 4, -4*h + 8 = 0. Suppose -r - 18 = -3*b - 4*r, -2*b - 5*r + 24 = p. Find the third derivative of 3*k**b + k - k + k**4 wrt k. 24*k Let f be 0 + (-6 + 5)/(-2). Let m(h) be the second derivative of -h - 3/20*h**5 + 0*h**4 + f*h**3 + 0 + 0*h**2. Find the second derivative of m(w) wrt w. -18*w Suppose 3*a - 8 = -a. Find the third derivative of -4*p**6 + p**6 + 11*p**2 - 15*p**a wrt p. -360*p**3 What is the third derivative of -6*p**2 + p**2 + p**2 - 3*p**2 - 7*p**3 wrt p? -42 Let m(s) be the second derivative of 0*s**3 + 3*s + 0 + 0*s**2 - 1/4*s**4 - 1/15*s**6 + 0*s**5. Find the third derivative of m(j) wrt j. -48*j What is the second derivative of c - 2*c - 7*c**3 - 5*c wrt c? -42*c Let i(w) = w + w - 3*w + 0*w. Let y(r) = 2. Let f(t) = 3*i(t) + y(t). What is the first derivative of f(v) wrt v? -3 Suppose 0 = -3*g - r + 16, 0*g + 4*g = 2*r + 28. Let s = g - 3. What is the third derivative of -s*l**4 + 5*l**2
{ "pile_set_name": "DM Mathematics" }
Does 20 divide 820? True Is 119616 a multiple of 11? False Is 232 a factor of 8352? True Does 10 divide 597? False Does 220 divide 9680? True Does 8 divide 1017? False Is 500 a multiple of 20? True Is 20 a factor of 6200? True Does 58 divide 12992? True Is 35112 a multiple of 266? True Is 32735 a multiple of 10? False Does 52 divide 826? False Does 143 divide 67496? True Does 20 divide 4290? False Does 7 divide 97944? True Is 32 a factor of 366? False Is 822 a multiple of 10? False Is 122978 a multiple of 81? False Does 16 divide 1936? True Does 15 divide 49331? False Is 287 a multiple of 41? True Does 17 divide 283? False Is 165 a multiple of 11? True Does 87 divide 3624? False Does 264 divide 79925? False Does 22 divide 2772? True Is 102882 a multiple of 64? False Is 19 a factor of 14725? True Is 12 a factor of 719? False Is 2 a factor of 3400? True Is 14 a factor of 5950? True Is 11 a factor of 33? True Is 21417 a multiple of 23? False Is 71906 a multiple of 157? True Is 392 a multiple of 11? False Does 146 divide 17166? False Does 238 divide 24752? True Does 17 divide 1785? True Does 21 divide 6245? False Is 796 a multiple of 45? False Is 1633 a multiple of 115? False Does 10 divide 79? False Is 16 a factor of 579? False Is 140 a multiple of 57? False Is 41 a factor of 36282? False Is 24 a factor of 2136? True Is 30499 a multiple of 61? False Is 2113 a multiple of 9? False Is 19 a factor of 69? False Is 699 a multiple of 14? False Does 38 divide 157? False Is 15 a factor of 11175? True Is 4 a factor of 19520? True Is 13 a factor of 142? False Is 16 a multiple of 11? False Is 13464 a multiple of 17? True Is 249 a multiple of 15? False Is 131 a multiple of 13? False Is 28 a factor of 1815? False Is 8 a factor of 1392? True Is 1380 a multiple of 23? True Is 54250 a multiple of 175? True Is 714 a multiple of 42? True Does 2 divide 1581? False Is 57 a factor of 29241? True Does 9 divide 35388? True Does 11 divide 20636? True Does 8 divide 224? True Does 64 divide 10816? True Is 29 a factor of 406? True Is 51 a factor of 4182? True Does 2 divide 944? True Is 102 a factor of 637? False Is 4050 a multiple of 54? True Is 7757 a multiple of 28? False Is 7963 a multiple of 12? False Is 9801 a multiple of 99? True Is 406 a multiple of 58? True Is 63 a factor of 1071? True Does 5 divide 125? True Does 3 divide 765? True Is 20 a factor of 1900? True Is 361 a multiple of 19? True Does 6 divide 86? False Is 1457 a multiple of 30? False Does 21 divide 357? True Is 3 a factor of 57? True Is 6840 a multiple of 42? False Is 22 a multiple of 6? False Is 1056 a multiple of 33? True Is 6680 a multiple of 20? True Is 416 a multiple of 16? True Is 2336 a multiple of 10? False Does 14 divide 26556? False Does 4 divide 3228? True Is 8193 a multiple of 32? False Does 3 divide 131? False Is 31 a factor of 1240? True Is 56 a factor of 12096? True Is 1679 a multiple of 48? False Does 7 divide 2639? True Is 34 a factor of 12546? True Is 79 a factor of 7325? False Is 70 a factor of 6831? False Is 10 a multiple of 5? True Is 61 a factor of 2013? True Is 11 a factor of 5005? True Is 10 a factor of 1497? False Is 120 a factor of 19092? False Is 17996 a multiple of 14? False Is 35 a factor of 18445? True Is 420 a multiple of 30? True Is 21 a factor of 5964? True Is 3291 a multiple of 12? False Is 310 a multiple of 10? True Does 12 divide 4033? False Is 5960 a multiple of 10? True Is 7099 a multiple of 15? False Is 12 a factor of 6669? False Does 10 divide 14140? True Is 14274 a multiple of 69? False Does 51 divide 1887? True Does 15 divide 1845? True Does 66 divide 709? False Is 20 a factor of 4649? False Is 1401 a multiple of 2? False Is 24 a factor of 9168? True Does 53 divide 5944? False Is 5195 a multiple of 7? False Does 41 divide 4592? True Is 464 a multiple of 58? True Is 13 a factor of 28340? True Is 38 a factor of 2394? True Is 31467 a multiple of 30? False Does 6 divide 62? False Is 11 a factor of 726? True Is 50 a factor of 1020? False Does 9 divide 2475? True Is 3441 a multiple of 54? False Is 61 a factor of 6960? False Does 43 divide 4429? True Does 13 divide 208? True Does 3 divide 11025? True Does 25 divide 380? False Is 2 a factor of 2673? False Is 8 a factor of 12479? False Is 2 a factor of 14191? False Is 2858 a multiple of 104? False Does 23 divide 279? False Is 104 a factor of 1040? True Is 83007 a multiple of 207? True Is 4096 a multiple of 199? False Does 18 divide 46728? True Is 132 a multiple of 22? True Does 3 divide 335? False Does 45 divide 90? True Is 3318 a multiple of 6? True Does 13 divide 6409? True Is 24 a multiple of 3? True Is 3370 a multiple of 164? False Does 12 divide 266? False Does 17 divide 43979? True Is 43848 a multiple of 18? True Does 15 divide 495? True Is 10 a factor of 910? True Does 6 divide 23832? True Is 78 a factor of 50778? True Does 75 divide 5625? True Is 5 a factor of 7830? True Is 44 a factor of 7961? False Does 34 divide 90984? True Does 44 divide 5153? False Is 18 a factor of 40590? True Is 2781 a multiple of 20? False Is 9 a factor of 5210? False Does 23 divide 4462? True Is 28714 a multiple of 18? False Does 3 divide 154? False Is 7 a factor of 6202? True Does 29 divide 1654? False Is 2414 a multiple of 71? True Is 36 a factor of 612? True Is 13 a factor of 2032? False Is 41 a factor of 1107? True Is 132 a multiple of 22? True Does 138 divide 11089? False Does 14 divide 1764? True Is 7 a factor of 6426? True Does 4 divide 2210? False Does 11 divide 4693? False Does 48 divide 25328? False Is 75 a factor of 1575? True Does 19 divide 26909? False Is 6862 a multiple of 5? False Does 28 divide 848? False Is 24 a factor of 6696? True Is 65 a factor of 260? True Is 983 a multiple of 35? False Is 1080 a multiple of 24? True Does 90 divide 3845? False Is 1679 a multiple of 11? False Is 78 a factor of 21528? True Is 55 a factor of 19379? False Is 1824 a multiple of 96? True Is 18309 a multiple of 17? True Is 690 a multiple of 115? True Is 18 a multiple of 2? True Does 119 divide 3451? True Is 3 a factor of 394? False Is 39 a factor of 6933? False Is 8290 a multiple of 134? False Does 11 divide 131? False Is 2 a factor of 4? True Does 5 divide 1214? False Does 13 divide 455? True Is 11 a factor of 2609? False Is 28 a factor of 3668? True Is 1680 a multiple of 16? True Is 256 even? True Is 10 a factor of 18? False Is 2 a factor of 75? False Does 12 divide 9456? True Is 171 a multiple of 12? False Is 1420 a multiple of 19? False Is 583 a multiple of 2? False Is 21 a factor of 672? True Does 17 divide 34? True Is 470 a multiple of 9? False Is 442 a factor of 118456? True Does 48 divide 1662? False Is 1460 a multiple of 4? True Does 73 divide 2993? True Is 27 a factor of 7723? False Is 12 a factor of 2342? False Does 13 divide 5231? False Is 90644 a multiple of 263? False Is 18 a factor of 410? False Does 38 divide 9234? True Is 61 a factor of 537? False Does 14 divide 250? False Is 1233 a multiple of 64? False Is 16 a factor of 1032? False Is 9256 a multiple of 104? True Is 7 a factor of 112? True Does 21 divide 35? False Is 14 a factor of 2005? False Does 4 divide 284? True Is 67 a factor of 1474? True Does 30 divide 4380? True Is 24037 a multiple of 13? True Is 1737 a multiple of 193? True Is 39 a factor of 943? False Is 8304 a multiple of 24? True Does 33 divide 15001? False Is 5 a factor of 84? False Is 37 a factor of 2553? True Is 34300 a multiple of 175? True Is 170 a factor of 38089? False Is 12 a factor of 3576? True Does 151 divide 93016? True Is 43 a factor of 4015? False Is 103 a factor of 12566? True Is 14 a factor of 641? False Is 7 a factor of 376? False Is 5 a factor of 1073? False Is 21363 a multiple of 126? False Is 6284 a multiple of 10? False Does 53 divide 4028? True Is 2025 a multiple of 75? True Does 32 divide 960? True Does 20 divide 1980? True Is 10494 a multiple of 53? True Is 10 a factor of 11270? True Is 10 a factor of 118? False Is 1762 a multiple of 73? False Is 696 a multiple of 24? True Is 20 a factor of 7798? False Is 595 a multiple of 35? True Is 23 a factor of 305? False Does 21 divide 4675? False Is 4189 a multiple of 10? False Does 209 divide 14566? False Is 138 a multiple of 46? True Is 1
{ "pile_set_name": "DM Mathematics" }
-647830 != -647693? True Which is bigger: -50/5724859 or -1/3? -50/5724859 Is -17473376 smaller than -17473365? True Is -67983 smaller than -1495645/22? False Is 2992543/149 > 20084? True Is 20651 < 640140/31? False Which is greater: 75766 or 2348774/31? 2348774/31 Which is smaller: 4804/329845 or 0? 0 Which is smaller: -5864/7 or -3/241? -5864/7 Which is bigger: 228.43 or 6895? 6895 Which is greater: 6990603 or 6990604? 6990604 Which is greater: -1/143150934 or 1? 1 Which is smaller: -212/6191 or 3.9? -212/6191 Is 99/576628 smaller than 0? False Which is bigger: 69172897 or 69172891? 69172897 Which is smaller: -1/162 or 30023? -1/162 Does -5.7656 = -303? False Is 7862495 less than 7862490? False Which is smaller: 1 or -2/1015616527? -2/1015616527 Is 489/139711 smaller than 0? False Which is greater: 3.38105749 or -0.1? 3.38105749 Do 1809533 and -95 have different values? True Which is greater: 864234/671 or 1289? 1289 Is -340835 smaller than 846? True Is -1601487 less than or equal to -24022304/15? True Is -285 > -769066? True Does -423538/239 = -1772? False Is 188535/2803 greater than or equal to 68? False Is 1353/589036 != 1? True Which is smaller: 1746 or -5887? -5887 Is 98 at least as big as 142/2491? True Is -239281 equal to -0.03? False Which is smaller: 425209/471 or 904? 425209/471 Do 0.3 and 8411/1188 have different values? True Are 1070847/718 and 1492 nonequal? True Which is smaller: 0 or 542/1000807? 0 Which is smaller: 36/4024853 or -1? -1 Is 1 equal to 1854/15983? False Is 398.1467 equal to -4? False Is -39 <= -57080? False Which is smaller: -168/23851 or -1? -1 Which is smaller: -1512 or -1007? -1512 Is 19276362 >= 19276360? True Are -12763 and -13179 nonequal? True Is -693 at least -2638? True Which is bigger: -1000359 or -1000358? -1000358 Which is smaller: 1565803 or 7? 7 Is -1 at least as big as 184/2182795? False Is 3/25 less than 156/1813? False Which is bigger: 47 or -3103629/2? 47 Are 2809628/99 and 28379 equal? False Which is smaller: 6/45504329 or 1? 6/45504329 Is 61069 != -1/70? True Is 29790 < -8881? False Is 185/343246 < -1? False Which is greater: -1638/44185 or 0? 0 Which is smaller: 1 or 21/439988? 21/439988 Which is smaller: -2094984 or -2094979? -2094984 Is 0.3 at most -3804.9573? False Is -85003 <= -85570? False Is 39777 bigger than 658? True Which is smaller: 0 or -3992.511? -3992.511 Which is greater: -440753 or -4? -4 Which is smaller: -1 or -5376439? -5376439 Is -1 at most as big as -36292/39267? True Which is bigger: -18986/9 or 146? 146 Which is greater: -40866 or -41882? -40866 Which is smaller: 172644 or 173576? 172644 Is 21042 at least -295? True Which is smaller: 2351336 or 2351342? 2351336 Is -290745441 smaller than -290745441? False Do -0.9 and -588972 have different values? True Are 11 and 190756 non-equal? True Is -1227402 smaller than -2/405? True Which is greater: -1/110505898 or 0? 0 Which is smaller: 71835 or 1221187/17? 1221187/17 Which is smaller: 23787 or 16959? 16959 Which is bigger: 25060 or 24286? 25060 Which is smaller: -117343945 or -117343944? -117343945 Is 1 greater than or equal to -638/462483? True Is 2546/661 at least as big as 3? True Is 4/103 <= -3240? False Which is smaller: -8778 or 2188? -8778 Is 38248 smaller than 37350? False Is 438389 equal to 5699040/13? False Which is smaller: -558638 or -558553? -558638 Is -0.143685 <= -45? False Is -29/8705512 less than 1? True Is 0 less than or equal to 43118942? True Does -12693363 = -12693360? False Is 4/33088461 <= -1? False Is 16036 smaller than 16021? False Is 0 < -3419/5475? False Is -727 equal to 5193.45? False Is -59511.7 greater than 0.8? False Which is smaller: -1805888 or -1806009? -1806009 Which is smaller: -22853 or 7190/3? -22853 Is -91874 less than 695? True Does -2/13 = 3/430817? False Which is smaller: -163.86 or 5/653? -163.86 Which is smaller: 1192273 or 1192235? 1192235 Does 221/6 = -2431? False Is 5/29645948 at most 1? True Is 422780 greater than or equal to 6.86? True Is -2464892 not equal to -2464893? True Is 67583 smaller than 67981? True Which is smaller: -2103.82 or -26/5? -2103.82 Which is smaller: -40127200 or -40127199? -40127200 Which is smaller: 33154/767 or 42? 42 Which is bigger: -1 or -39/9040493? -39/9040493 Do -341168767 and -341168768 have different values? True Which is smaller: -9 or 1/4875154? -9 Which is smaller: 6/10722653 or 1? 6/10722653 Which is smaller: -34341821 or -34341805? -34341821 Which is smaller: -3 or 1/7270134? -3 Which is bigger: -31942/297 or -109? -31942/297 Which is greater: 8172749 or 8172771? 8172771 Which is smaller: 8145967 or 0? 0 Is 49515 less than or equal to 49557? True Does 30141/4 = -0.058? False Which is greater: 610421 or 610388? 610421 Which is greater: -0.022 or 1936/13? 1936/13 Which is bigger: 1 or 218/627409? 1 Which is greater: -1 or 1/2806225349? 1/2806225349 Which is smaller: -64054 or -64024? -64054 Is 368152 != 367917? True Is -6/56952167 >= -1? True Which is smaller: 0.162292 or -18? -18 Does -34597 = -34239? False Is -3/34 smaller than 169403? True Does 4/2083 = -34081? False Is 2/180463 greater than 0? True Which is smaller: 43752 or 6781428/155? 6781428/155 Which is smaller: 8037612/37 or -1? -1 Do 137086 and 136596 have different values? True Is -159865 smaller than -159614? True Is -3520418 bigger than -3520426? True Is 17.599783 != -1/2? True Is 7 smaller than -261578? False Which is smaller: 28851 or 28439? 28439 Which is smaller: -14386795 or -0.1? -14386795 Which is smaller: 2 or -9792712? -9792712 Which is smaller: -2 or -31689209? -31689209 Is -9425 smaller than -4760? True Which is greater: 32497/4823 or 8? 8 Is 59596 != 59607? True Is 11/76093 greater than -0.3? True Is -64502043 at most -64502044? False Is -967 != -68? True Is 1241 > -2771? True Which is smaller: 2/89688405 or 1? 2/89688405 Which is smaller: -2526 or 601? -2526 Is 83869 at most as big as 3780? False Which is smaller: -88948 or -88887? -88948 Which is smaller: -181946 or -182114? -182114 Which is smaller: 3355 or -12675? -12675 Which is bigger: -31125517/4 or -7781380? -31125517/4 Are 18696070 and 18696071 nonequal? True Is -21 at least -45336.819? True Are -522423 and -522592 equal? False Which is smaller: 786297 or 786319? 786297 Is 502 at least as big as 1852142? False Is 0.0541 less than or equal to -46099? False Which is bigger: 8 or 72056/7647? 72056/7647 Which is greater: 117 or 44549/380? 44549/380 Is 713779/12 less than or equal to 59483? True Which is smaller: -4402880 or -4402877? -4402880 Which is smaller: 656385322 or 656385323? 656385322 Is -790/1366931 less than 0? True Is 2512517 < 17587622/7? True Do -39436281 and -39436280 have the same value? False Is 21474822 not equal to 21474813? True Which is smaller: -27/1035374 or -1? -1 Which is bigger: -204 or -8/92233? -8/92233 Do -35444/8967 and -4 have different values? True Is -1045110/1559 >= -669? False Is 232198.7 at most as big as -2/41? False Which is smaller: 949 or -0.0249035? -0.0249035 Is 5043061 not equal to 5043074? True Which is smaller: -7/3 or 2159802? -7/3 Is 7831395 at most as big as 7831339? False Which is smaller: 4335 or 5317? 4335 Which is greater: 41861274 or -0.2? 41861274 Do 332211 and 332181 have different values? True Which is bigger: 110 or 25787? 25787 Which is greater: -63 or -63.225? -63 Is 91 at least -19071.64? True Is 43586 at least 43264? True Is -1836 smaller than -94074? False Is -2446381 equal to -45? False Is 0.14 less than -6916619? False Which is smaller: -2/5 or 694249? -2/5 Is -51882858 at least as big as -51882856? False Which is greater: -10312 or -484674/47? -10312 Which is smaller: -3/23 or 24898/5? -3/23 Which is smaller: 13061722 or 13061746? 13061722 Which is smaller: 41904/3761 or 11? 11 Is -1/52 < 97583.5? True Is 134 != 92188/695? True Do -908001933 and -908001935 have the same value? False Is -1152009 < -1152000? True Is 62728628 smaller than 62728627? False Does 5023194/95 = 52877? False Which is smaller: -402517/49 or -8214? -402517/49 Which is smaller: -2614018249 or -2614018248? -2614018249 Which is smaller: 1.26729 or 21/46? 21/46 Which is greater: -1221598 or -1221603? -1221598 Which is smaller: 1 or -2/12203313? -2/12203313 Which is smaller: 1
{ "pile_set_name": "DM Mathematics" }
= m + 1. Let d be (-2)/(-9) - 190/45. Let t be y(d). Let w = 3 - t. What is the units digit of w? 6 Let g be (-1)/(15/138)*15. Let m be ((g/3)/(-2))/1. What is the tens digit of m/2 + 1/2? 1 Let k(i) = -i + 2. What is the units digit of k(-5)? 7 Suppose -3*h + 39 = -15. Let w = h - 26. Let o = w + 16. What is the units digit of o? 8 Let p(c) = 4*c - 25. What is the units digit of p(10)? 5 What is the hundreds digit of (-1 - -122) + (-8 + 15 - 5)? 1 What is the units digit of 20/16 - (-211)/4? 4 Let r(t) = 5*t**3 + 4*t**2 - 3*t. Let w be r(2). Suppose 0 = -3*n - 20 + w. What is the units digit of n? 0 Suppose -2*w + 5 = -w. Suppose 5*z = -w*d + 90, -21 = -2*z + 4*d - 3. What is the units digit of z? 5 Let n be 1/(1 - (-2 + 2)). Let y = 16 + n. What is the units digit of y? 7 Let y = 101 - 12. What is the tens digit of y? 8 Let z(j) = 2*j**2 + j + 56. What is the units digit of z(0)? 6 Let v(s) = -s**2 - 4. Let x be v(-7). Let t = -36 - x. What is the tens digit of t? 1 Let h = 4 - 10. Let x be 4/h + (-53)/(-3). Suppose -4*n + 15 = -x. What is the units digit of n? 8 Suppose -5*y + 45 = 5*k - 0*y, k - 24 = -4*y. Let h(f) = -k - f**3 + 7*f**2 + 3 - 4*f**2. What is the units digit of h(2)? 3 Let c(k) = k**3 - 9*k**2 + 9. Let r be c(9). Suppose 2*a - 36 = v + r, -4*v - 26 = -a. What is the tens digit of a? 2 Let z = 157 - -216. What is the hundreds digit of z? 3 Let z = -4 + 6. Suppose z*m - 27 = 7. What is the units digit of m? 7 Let h be (-45)/(-10) + 2/(-4). What is the units digit of (8 - (h - 1))/1? 5 Suppose 0 = -2*l - l + 36. What is the tens digit of l? 1 Suppose -5*g - t = -3, 5*g - 7*t + 9 = -4*t. Suppose -2*y = 2*y, -5*c + 4*y + 30 = g. What is the units digit of c? 6 Let z(h) = h + 3*h + h**2 + 6 - h + h. What is the units digit of z(-5)? 1 Let d(w) = -w**3 - 13*w**2 - 4*w - 14. Suppose -7 = f - 2*a + 6, 5*f = -a - 65. What is the tens digit of d(f)? 3 Let o be (-3 + -10)/(2/6). Let v = o - -57. What is the tens digit of v? 1 Suppose 27 = 5*r - 188. What is the tens digit of r? 4 Let b = -100 + 37. What is the units digit of -3*7/(b/30)? 0 Let m(n) = -n + 7 + 9 - n + 3*n. What is the units digit of m(-12)? 4 What is the hundreds digit of 1/(20/8) - 1768/(-5)? 3 Suppose -11 = -3*c + 1. Suppose -3*s = -n - 15, 2*n + c*s = n + 20. Suppose -2*l + 3*l - 3 = n. What is the units digit of l? 3 Let j be ((-2)/4)/((-6)/36). Suppose 2*v + v - p - 12 = 0, j*v - 18 = -p. What is the units digit of v? 5 Suppose 3*a + 4 = 7. What is the units digit of a? 1 Suppose -c - 7 = -1. Let x = c + 43. What is the units digit of x? 7 Let a = 51 - -18. What is the tens digit of a? 6 Let b(v) = v**3 + 5*v**2 - 6*v - 6. Let g be b(-6). Let n be ((-1 + -113)/1)/1. What is the units digit of 2/g - n/18? 6 Let h(x) = -x**3 + 4*x**2 - 2*x + 3. Let c be h(3). Let f be 0/(-1)*(-3)/c. Suppose f = 2*k + 4*r - 8, k - 2*r = -0*r + 16. What is the units digit of k? 0 What is the tens digit of 278 + (-26)/8 + (-2)/(-8)? 7 Let h = 25 + -19. What is the units digit of h? 6 Let j(l) = -l**2 + 4*l + 1. Let x be j(3). Suppose 0 = u + x*u - 35. Let g = 11 - u. What is the units digit of g? 4 Suppose 0 = -z + 1 + 1. What is the units digit of z? 2 Suppose -18 + 0 = 3*j. Let k = 22 + j. What is the units digit of k? 6 Let o = 7 - -49. What is the units digit of o? 6 Suppose 8 = -3*v + 2*h + 70, 0 = 5*v - h - 101. What is the units digit of v? 0 Let y be (1/(-2))/((-3)/(-18)). Let n be 1 + -1 + 0/y. Let f = 4 - n. What is the units digit of f? 4 Let c(i) = i**3 + 5*i**2 - 4*i - 5. What is the units digit of c(-4)? 7 What is the hundreds digit of 302/1*((-21)/(-6) + -3)? 1 Suppose 3*p - 9 = 6*p. What is the units digit of 3*-2*p/6? 3 Suppose c + c + 3*t + 1 = 0, -2*c - t + 1 = 0. What is the units digit of c? 1 Suppose -3*p + 38 = -4*j, -2*p + 18 = -2*j + 3*j. Let q = p - 6. What is the units digit of q? 4 What is the units digit of 3/12*6 - 210/(-4)? 4 Suppose -24 = -5*h - 4. Suppose -h*t = 7 + 13. Let j = t - -26. What is the units digit of j? 1 Suppose 104 = 5*b - 2*n, 6*b + n = b + 98. Suppose -5*h + 5*d + b = 0, 0*h - d + 6 = h. What is the units digit of h? 5 Suppose -3*g + 2 = -4*g. Let s(j) = 4*j**2 + j + 2. What is the tens digit of s(g)? 1 Let k = 310 - 117. What is the hundreds digit of k? 1 Let m(t) = 2*t - 2. Let o be m(-2). What is the units digit of (-33)/o + 1/2? 6 Suppose 8*h = 5*h + 15. Suppose 18 = h*d - 6*d. What is the units digit of d/99 + (-101)/(-11)? 9 Let z = -42 - -143. What is the units digit of z? 1 Let q = 1 - -1. Suppose 0 = -q*b - 2*b. Let m(g) = -g + 8. What is the units digit of m(b)? 8 Let t = 6 - 5. What is the units digit of (-4)/2*t/(-2)? 1 Let q be 2/(2/20 + 0). Let b = q + -3. What is the units digit of b? 7 Let f = -41 + 48. What is the units digit of f? 7 Let d = 8 - 7. What is the units digit of d? 1 Let d be ((-5)/2)/5*-4. Let l be (d - 1)*1 - 4. What is the units digit of ((-8)/(-6))/((-2)/l)? 2 Suppose -4*q = -q - 12. Let g(x) be the second derivative of -x**5/20 + 5*x**4/12 - 2*x**3/3 + 5*x**2/2 + x. What is the units digit of g(q)? 5 Let q be (2/(-3))/((-3)/9). Suppose -q*d + 24 = d. What is the units digit of d? 8 Let n(t) = -4*t + 1. Let x be n(-1). Suppose 5*b = -x*m + 115, b = 4*b + 3. What is the tens digit of m? 2 Suppose 4*g + 3*d - 148 = 281, g - 112 = 4*d. What is the units digit of g? 8 Let x = -84 - -139. Suppose -p - 10 = -d + 2*p, -x = -3*d + 4*p. What is the tens digit of d? 2 Suppose h - 106 = 4*j, 5*j + 0*j = -4*h + 529. What is the units digit of h? 6 Let b = 2 + -3. What is the units digit of (3/2)/(b/(-2))? 3 Let i(l) = 5*l**3 + 19*l**2 - 7*l - 30. Let j(k) = -2*k**3 - 6*k**2 + 2*k + 10. Let r(m) = 3*i(m) + 8*j(m). What is the units digit of r(8)? 4 What is the hundreds digit of (-1)/(-5) + -2*1394/(-10)? 2 Let o(l) = l + 6. Let y(m) = m**3 + 5*m**2 - 5. Let k be y(-5). Let x be o(k). What is the units digit of 55/5 - (x + 2)? 8 Suppose -6 = 3*b + 3*x, -2*b + x = -3*x + 4. Suppose 3 = 3*f - 6. Let c = f + b. What is the units digit of c? 1 Let d(p) = 5*p + 3. Let a be d(5). Suppose 2*h = -2*h + a. What is the units digit of h? 7 Let h be ((-21)/12)/((-1)/(-8)). Let c = h + 29. What is the units digit of c? 5 What is the units digit of (15/(-45))/(2/(-264))? 4 Suppose 0 = -3*z - 0*z + 270. What is the units digit of z? 0 Let n(a) be the first derivative of -a**3/3 + 3*a**2 + 3*a + 8. Let h = 15 - 10. What is the units digit of n(h)? 8 Let o = -6 - -10. Suppose f = -0*w - w + 6, -5*f + 21 = -o*w. Suppose 4*d - 36 = f*v, -3*v = -v + 8. What is the units digit of d? 4 Let d be (-4)/(-2) + (-1 - -7). What is the tens digit of 236/d - 2/(-4)? 3 What is the tens digit of ((-42)/10)/((-3)/15)? 2 Suppose k - w - 57 = -2*w, 5*w - 20 = 0. What is the tens digit of k? 5 Suppose 2*z + 42 - 162 = 0. What is the tens digit of z? 6 Let m(f) be the third derivative of 11*f**4/24 - f**3/6 + f**2. Let w = -5 + 6. What is the units digit of m(w)? 0 Suppose 4*c + 4 = -0. Let g be ((-3)/(-4))/(c/(-40)). Suppose -2*z - g = -4*z. What is the tens digit of z? 1 Let r(m) = -2*m**3 - 7*m**2 - 6*m - 9. What is the units digit of r(-6)? 7 Let k = 386 - 267. What is the tens digit of k? 1 What is the units digit of 5*28 + 20/(-5)? 6 Let r(v) = 13*v**2 - v + 34 - 34. Let o(a) = a**2 + 6*a - 1. Let i be o(-6). What is the units digit of r(i)? 4 Let y(j) = j**3 + 8*j**2 + 3*j - 3. Let v be y(-7). What is the units digit of (-190)/(-4)*20/v? 8 Let j = -7 - -60. What is the units digit of j? 3 Suppose -3*o + o + 16 = 0. Suppose 0*g = -4*g + o. Suppose -g*i = b - 6, -12 = -5*b + 5*i + 3. What is the units digit of b? 4 Suppose -2*h = -0 + 12. Let m = h - 2. What is the units digit of (10/m)/((-1)/4)? 5 Suppose -6*c + 10 = -c. Suppose 25 - 89 = -c*j. What is the units digit of j? 2 Let f(c) = 2*c**2 + 11*c - 5. What is the tens digit of f(-8)? 3 Let m = 0 - -6. Suppose 5*q = 2*g + 43, -2*q = -m*q - 5*g + 8. What is the units digit of 2/(-7) + 114/q? 6 Suppose 3*h = 6*h - 9. Let f = h + -1. Suppose 0 = -2*i - 3*d, -f*d + 14 = i - 4*d. What is the units digit of i? 6 Suppose -3*t = -2*t - 60. Suppose 4*a = -0*l - 3*l + t, 4*a = 12. What is the tens digit of l? 1 Let v(d) = d**3 - 6*d**2 + 7*d - 6. Let o be v(5). Suppose -u = o - 31. What is the units d
{ "pile_set_name": "DM Mathematics" }
+ 29895270*p - 8937271683729. -(5*p - 2989527)**2 Let -a**3/7 + 33137*a**2/7 + 6063877*a/7 + 6030739/7 = 0. What is a? -181, -1, 33319 Suppose -1288*v**4 - 6127028*v**3 - 7289673404*v**2 - 7351406272*v - 67858608 = 0. Calculate v. -2378, -1, -3/322 Find z, given that 3*z**3 - 10440*z**2 + 633084*z + 9105552 = 0. -12, 74, 3418 Factor 2*m**2 - 8084*m + 857394. 2*(m - 3933)*(m - 109) Factor 2*z**3/3 + 12362*z**2/3 + 20310158*z/3 + 3350428290. 2*(z + 1133)**2*(z + 3915)/3 Factor x**3/7 + 6476*x**2/7 + 51724*x/7 - 18480. (x - 2)*(x + 10)*(x + 6468)/7 Factor -a**2/6 - 2240*a/3 + 506883/2. -(a - 317)*(a + 4797)/6 Find c, given that 56*c**3 + 77260*c**2 + 2093868*c + 1314144 = 0. -1352, -27, -9/14 Suppose -5*v**5 + 810070*v**4 - 32814720280*v**3 + 328075920080*v**2 - 393621118800*v - 2362076641440 = 0. What is v? -2, 6, 81002 Factor x**2 - 35441*x - 496370. (x - 35455)*(x + 14) Let -4*n**4 - 56*n**3 + 10384*n**2 - 94240*n = 0. Calculate n. -62, 0, 10, 38 Suppose -y**3 + 839*y**2 - 10923*y - 517275 = 0. What is y? -19, 33, 825 Find u, given that 591*u**5 - 107565*u**4 + 106926*u**3 + 107022*u**2 - 107517*u + 543 = 0. -1, 1/197, 1, 181 Determine h so that -5*h**5 + 49860*h**4 + 200485*h**3 - 9622320*h**2 - 45096980*h + 54468960 = 0. -13, -6, 1, 14, 9976 Factor -2*s**2/13 - 305506*s + 7943164/13. -2*(s - 2)*(s + 1985791)/13 Find h, given that 72*h**5/7 + 1441*h**4/7 + 524*h**3/7 - 16409*h**2/7 - 228*h/7 = 0. -19, -4, -1/72, 0, 3 Factor 5*j**3/6 - 6785*j**2/6 + 1355900*j/3 - 168949610/3. 5*(j - 761)*(j - 298)**2/6 Determine n, given that n**4/5 - 998*n**3/5 - 8439*n**2/5 + 6235772*n/5 + 40645600 = 0. -47, 92, 1000 Determine k so that -625*k**3 + 143740*k**2 + 2300*k = 0. -2/125, 0, 230 Determine d so that -10*d**3/7 - 275544*d**2/7 - 385746*d/7 - 110212/7 = 0. -27553, -1, -2/5 Solve -3*w**5/7 - 4668*w**4/7 + 413541*w**3/7 + 427530*w**2/7 - 836400*w/7 = 0. -1640, -2, 0, 1, 85 Factor -l**2/3 + 58678627*l/3. -l*(l - 58678627)/3 Suppose -i**2/8 - 64555*i/8 + 7840437/4 = 0. Calculate i. -64797, 242 What is a in a**4 - 47*a**3 + 360*a**2 + 1692*a - 14256 = 0? -6, 6, 11, 36 What is f in 2*f**5/5 + 313*f**4/5 + 7774*f**3/5 + 11117*f**2/5 + 3654*f/5 = 0? -126, -29, -1, -1/2, 0 Suppose 5*y**5 + 9731*y**4 + 11671*y**3 + 1945*y**2 = 0. Calculate y. -1945, -1, -1/5, 0 Factor b**2 + 8177881*b + 57245118. (b + 7)*(b + 8177874) Let 2*y**4/5 - 2456*y**3/5 + 241024*y**2/5 + 200704*y = 0. Calculate y. -4, 0, 112, 1120 Factor 72*t**3/19 + 370*t**2/19 - 117218*t/19. 2*t*(t + 43)*(36*t - 1363)/19 Solve -39*u**4/2 + 23281*u**3/2 - 351963*u**2 - 18080*u = 0 for u. -2/39, 0, 32, 565 Factor -c**3/2 + 10190693*c**2 - 103850223820249*c/2. -c*(c - 10190693)**2/2 Factor -3*v**2/5 + 3084978*v/5 + 299271093/5. -3*(v - 1028423)*(v + 97)/5 Let -2*o**4/3 + 4088*o**3/3 - 2373068*o**2/3 + 96783400*o - 3363033750 = 0. What is o? 75, 947 Solve 5*a**5 - 194140*a**4 - 1165055*a**3 + 1359190*a**2 = 0. -7, 0, 1, 38834 Factor 2*a**3/5 + 8426*a**2/5 + 2272950*a + 993768750. 2*(a + 1125)**2*(a + 1963)/5 Let 6*i**5 + 2440*i**4 + 38222*i**3 - 305020*i**2 - 623384*i + 240240 = 0. Calculate i. -390, -22, -2, 1/3, 7 Factor -2*q**3 + 2868*q**2 + 15543342*q - 26799258240. -2*(q - 2157)**2*(q + 2880) What is b in 3*b**4 + 2973*b**3 - 394818*b**2 - 2475288*b = 0? -1109, -6, 0, 124 What is x in x**4 + 1628*x**3 + 180213*x**2 - 1125342*x + 1710072 = 0? -1508, -126, 3 What is h in -5523005*h**3 - 210841110*h**2 - 36785280*h - 1608160 = 0? -38, -92/1051 Find v, given that -5*v**5/4 + 940*v**4 - 150455*v**3/4 + 240460*v**2 + 37615*v - 241400 = 0. -1, 1, 8, 34, 710 Find d such that 2*d**4/9 + 68*d**3/3 - 5694*d**2 + 170016*d + 2894688 = 0. -228, -12, 69 Solve 3*v**5 + 4728*v**4 - 2599512*v**3 - 23650110*v**2 - 71204427*v - 71331354 = 0. -2006, -3, 439 Factor 63473089*x**2/6 + 10428803*x/3 + 1713481/6. (7967*x + 1309)**2/6 Factor -23*y**2 + 2461006*y - 642000. -(y - 107000)*(23*y - 6) Factor 2*s**4/9 - 9320*s**3 + 873843884*s**2/9 + 13136344280*s + 3973262102882/9. 2*(s - 21037)**2*(s + 67)**2/9 Factor 2*t**3/5 - 16213152*t**2/5 + 32858303435034*t/5 - 65716542017476/5. 2*(t - 4053287)**2*(t - 2)/5 Factor 3*o**2 - 2689089*o + 177466806. 3*(o - 896297)*(o - 66) Factor -s**3 + 603999*s**2 + 1812004*s + 1208004. -(s - 604002)*(s + 1)*(s + 2) Factor -50*w**2 - 167885*w + 2072550. -5*(w + 3370)*(10*w - 123) Suppose -8*m**2/21 + 219040874*m/21 - 18253406/7 = 0. What is m? 1/4, 27380109 Find g, given that 2*g**3 + 286589124*g**2 + 10266666035975040*g + 20533330925593600 = 0. -71647280, -2 Let -3*g**3 + 1223601*g**2 - 124773346800*g + 1372358763072 = 0. What is g? 11, 203928 Determine u so that -2*u**5 + 674*u**4 - 16418*u**3 + 75374*u**2 + 351220*u + 258752 = 0. -2, -1, 13, 16, 311 Factor 185*j**3 - 155205*j**2 + 2286450*j. 5*j*(j - 15)*(37*j - 30486) Find w such that 5*w**2/3 - 12606080*w + 23836987944960 = 0. 3781824 Let -7*q**4/4 + 24*q**3 - 259*q**2/4 - 237*q/2 - 28 = 0. What is q? -1, -2/7, 7, 8 Determine d so that 4*d**4 - 204*d**3 - 878348*d**2 - 7889556*d - 12267416 = 0. -439, -7, -2, 499 Factor u**4/11 - 166678*u**3/11 + 9255735528*u**2/11 - 15542829492320*u - 14772078190942592/11. (u - 55588)**3*(u + 86)/11 Factor -x**3 + 97964*x**2 - 3329909*x + 28301770. -(x - 97930)*(x - 17)**2 Solve 3*m**2 + 150363*m + 32934660 = 0. -49901, -220 Find p such that 2*p**3/15 + 43298*p**2/15 + 187532*p/5 + 86544 = 0. -21636, -10, -3 What is l in -12*l**5 + 11156*l**4 + 15004*l**3 - 100628*l**2 + 74480*l = 0? -4, 0, 1, 5/3, 931 Factor 2*d**2 + 186744*d + 214113942. 2*(d + 1161)*(d + 92211) Factor -2*r**2/11 + 2019638*r/11 - 102996336/11. -2*(r - 1009768)*(r - 51)/11 Let -286850949*i**4/4 + 778595335*i**3/4 - 351245927*i**2/2 + 52686849*i + 18 = 0. Calculate i. -2/5854101, 6/7, 1 Determine i, given that 5*i**4 + 32075*i**3 + 4863630*i**2 + 75906400*i - 171524000 = 0. -6260, -137, -20, 2 Find r such that r**2/4 - 827581*r/2 + 684890311561/4 = 0. 827581 Determine x, given that -2*x**4/11 + 2817008*x**3/11 - 991944576004*x**2/11 + 1983869432992*x/11 + 2975816826006/11 = 0. -1, 3, 704251 What is b in 5*b**4 - 57685*b**3 - 43217795*b**2 + 57685*b + 43217790 = 0? -706, -1, 1, 12243 Factor -2*n**2/19 + 566894*n/19 + 566896/19. -2*(n - 283448)*(n + 1)/19 Factor p**4 - 316*p**3 - 4963*p**2 + 114562*p - 452760. (p - 330)*(p - 7)**2*(p + 28) Let 27*t**5/2 + 786*t**4 - 65457*t**3/2 - 1591791*t**2 + 17937360*t - 46334400 = 0. What is t? -56, 5, 394/9 Determine s, given that -s**4/3 + 211130*s**3 + s**2/3 - 211130*s = 0. -1, 0, 1, 633390 Factor 3*c**2 + 3540*c + 697500. 3*(c + 250)*(c + 930) Solve 4*l**3 + 16021596*l**2 + 16043213138400*l - 16043229160000 = 0 for l. -2002700, 1 Let -v**3/4 + 46753*v**2/4 - 327124*v + 2289525 = 0. What is v? 14, 46725 Factor 4*p**2 - 23954656*p + 35864096504896. 4*(p - 2994332)**2 Solve 2*c**5/11 + 100*c**4/11 + 48*c**3 - 15228*c**2/11 - 8694*c - 143208/11 = 0 for c. -39, -17, -3, 12 Suppose c**4 - 4329*c**3 - 231964*c**2 - 1235724*c = 0. Calculate c. -47, -6, 0, 4382 Factor -a**2/6 + 231457*a/6 + 6369605. -(a - 231622)*(a + 165)/6 Factor -4926*k**2 - 10022*k/5 - 68/5. -2*(5*k + 2)*(2463*k + 17)/5 Factor c**3 + 3428*c**2 - 1982233*c - 1985660. (c - 505)*(c + 1)*(c + 3932) Let -10*p**3 + 312004*p**2 + 499226*p + 187212 = 0. What is p? -1, -3/5, 31202 Factor -4*g**3 - 128888*g**2 + 306324796*g - 175798486720. -4*(g - 1129)**2*(g + 34480) Determine i, given that 5*i**2 + 10560765*i - 63364770 = 0. -2112159, 6 Factor -3*u**3/7 + 3226982*u**2/7 - 867740298592*u/7 - 23720645803552/7. -(u - 537844)**2*(3*u + 82)/7 Suppose -a**4/4 + 1315085*a**3/2 - 576479126286*a**2 + 336930911492828499*a/2 + 11456317413548264313/4 = 0. Calculate a. -17, 876729 Factor 5*g**2/6 + 5422522*g/3 + 5061014. (g + 2169006)*(5*g + 14)/6 Solve 2*n**2/19 + 527978*n/19 + 1055948/19 = 0 for n. -263987, -2 Factor b**3 - 150137*b**2 - 750704*b - 900852. (b - 150142)*(b + 2)*(b + 3) Suppose -5*z**2 + 113630*z - 2270600 = 0. Calculate z. 20, 22706 Solve b**3/4 - 707*b**2/4 + 74391*b/4 + 19425915/4 = 0 for b. -115, 411 Suppose -k**2/4 - 7372469*k - 54353299155961 = 0. Calculate k. -14744938 Let -c**2/3 + 5219*c/3 + 484420 = 0. What is c? -265, 5484 Find k, given that 3*k**2 + 17685607*k - 29476020 = 0. -5895204, 5/3 Factor -5*y**2 + 175520*y - 12209
{ "pile_set_name": "DM Mathematics" }
4? -0.4 Let h = 7.6 + -8. Let t(n) = n**3 + 6*n**2 + 6*n + 1. Let r be t(-5). Let j be ((-45)/3)/(-5)*(-2)/(-18). Which is the nearest to j? (a) 0 (b) r (c) h a Let j(t) = -t**2 + 4*t - 2. Let h be j(2). Let g be (15/(-5))/(2/(32/12)). Which is the nearest to 0.1? (a) -3 (b) h (c) g b Let k(g) = -g**3 - 46*g**2 + 46*g - 49. Let x be k(-47). Which is the nearest to 1? (a) -0.81 (b) 0 (c) -3 (d) x b Let f = 81 + -81.1. Which is the nearest to 0.08? (a) f (b) 89 (c) -2 a Let f = -1105 - -1105. Which is the closest to 2/7? (a) f (b) -0.08 (c) -7 a Let f = 1155 - 1154. Let p = 3.1 - 3. Let d = 0.14 - p. What is the closest to 0 in -4, d, f? d Let x be (2/(-2))/(1/2). Let v be (-212)/(-102) + (4 - 5). Let l = v - 7/17. What is the nearest to l in -0.4, 2/11, x? 2/11 Let u = -0.014 + 0.014. Which is the closest to 0? (a) -16 (b) -0.3 (c) -1/4 (d) u d Let d = -15.1 - -14.9. Which is the nearest to -2? (a) 0.1 (b) d (c) -0.5 c Let v = 39.5 - 19.3. Let d = v + -20. Suppose -4*p + 5*n = 20, p + 4*p = 3*n - 25. Which is the nearest to -2? (a) -2 (b) d (c) p a Let l be (18/(-21))/(1/131). Let k = l + 112. Let y be 3 + (-2)/6 + -4. Which is the nearest to 4? (a) k (b) y (c) -4 a Let l = 18 + -14. Let r(i) = -3*i**2 + 72*i + 78. Let u be r(25). What is the nearest to l in u, -2/9, -2/5? u Let l = -83 + 61. Let d = l - -21. What is the closest to 1 in -2/17, 2/15, d? 2/15 Let h = -1500 - -1501. Suppose 0*p = 3*p + 15. Which is the closest to h? (a) p (b) 0 (c) -8 b Let v = -2947.2 - -2947. Which is the closest to v? (a) -2 (b) -34 (c) -5 a Let z = -1.7 + 0.7. Let g = -337/5 + 339/5. Which is the closest to z? (a) -5 (b) g (c) 0.2 c Let n = -627 + 586. Which is the closest to 0? (a) 2/13 (b) n (c) 2/9 a Let g be 37/3 - 4/(-6). Suppose 0 = 9*p - g*p. Let n = -0.12 - 0.08. Which is the nearest to -1/4? (a) p (b) n (c) 2 b Let l(m) = 3*m**3 + 2*m**2 - m. Let s be l(1). Let d = -194.1 + 186. Let i = -3.1 - d. Which is the nearest to 2? (a) i (b) s (c) -5 b Let u = 0.63 - 1.13. What is the nearest to -2/7 in u, -0.13, 2/5? -0.13 Suppose j + o = -1 - 1, 0 = -3*j + 5*o + 2. Let h = -0.02 - -0.1. Let p = h - 1.08. Which is the closest to p? (a) 5 (b) -4 (c) j c Let v = -1.4 + 1.41. Suppose m + 12 = -2*m. Let u be (6/m)/((-27)/12 - 6). What is the closest to v in -2, u, 0.4? u Let f(z) = z - 1. Suppose 3*n = 2*h + 12, -n + 4 = -h - 0. Let m be f(h). What is the nearest to m in 4, 0.4, 0? 0 Let x be ((20/25)/4)/(8/5). What is the closest to -1 in x, -4/3, 21? -4/3 Let h(a) = -2*a**3 + 18*a**2 - 4*a + 31. Let r be h(9). What is the closest to 1/3 in 4, 0.5, 6/5, r? 0.5 Let k be 0 + (-6 - 0) + 5. What is the nearest to 2 in 0.5, -3, 18, k? 0.5 Suppose -1 = 2*m + 109. Let d = -70 - m. Which is the closest to d? (a) -4 (b) 0.4 (c) 2/3 a Let b = -28513 - -114049/4. Let f = 2 - 3. What is the nearest to 4/3 in b, 0.5, f? 0.5 Let y be ((-10)/35)/1 - (-13)/21. Which is the nearest to 1/2? (a) 4/3 (b) 0.1 (c) y c Let j = 16 + -17. Let i be (9 - 6) + (-1)/j. Suppose -5*m + 2 = -4*v + 6*v, i*v = -5*m - 6. What is the closest to 1 in 1, v, 0.2? 1 Let p = -121 - -116. Let x = -0.05 + -0.25. What is the nearest to x in -1, -3, p? -1 Let m = 27 + -33. Let i be (1/m)/(0 + (-4)/12). Suppose -5*a - 5*f = 35, 0*a - 22 = 4*a + 2*f. What is the closest to i in -3, a, -0.3? -0.3 Let z = 90.1 - 90. Let f be 0*((-2)/8)/(9/(-12)). Which is the closest to f? (a) 2 (b) 1/4 (c) z c Let z = 1 + -0.9. Let j = 173.1 - 173. Which is the nearest to j? (a) 7 (b) 3 (c) z c Let s = -7/3 + 25/12. What is the closest to 1 in -3, 3, s? s Let v = -270 + 263. Which is the nearest to -0.3? (a) 0.2 (b) v (c) -1/3 c Let y be (14/(-6))/(14/(-168)). Let l = 111/4 - y. What is the nearest to 2/3 in -0.2, 6, l? -0.2 Let p(n) = -2*n**3 + 2*n**2 + 3*n - 3. Let j be p(3). Let f be (-4)/(-10) + (-28)/j. Let r = -3 - -1. Which is the closest to 3? (a) r (b) f (c) 4 c Let d = 480 - 485. What is the closest to -1/2 in d, -1, -0.1, -0.5? -0.5 Let d = -0.529 + 0.029. Let i(w) = 19*w**2 - 2*w + 1. Let q be i(1). Let o be 23/q - (-15)/(-10). Which is the nearest to -2/3? (a) d (b) 2 (c) o a Let h = 0.1 + 0. Let r(p) = p + 1. Let k be -6*9/(81/(-6)). Let g be r(k). Which is the closest to h? (a) 2/11 (b) g (c) -0.2 a Let o = -3.55 + 3.46. What is the closest to 1 in -0.1, -1, o? o Let g be -1 + ((-6)/15)/(-1). Suppose 20 = 4*p, -p + 5*p = -3*j + 17. What is the closest to 2/3 in g, j, -0.3? -0.3 Let n be 2/6 + (-12)/(-18). Let a be ((-45)/(-35))/((-6)/(-664)). Let v = a + -142. What is the closest to 0.4 in 5, n, v? v Let l = 2669/4 - 667. What is the nearest to -2/7 in -0.3, l, 0.4? -0.3 Let k = 9 - 9.8. Let i = k + 0.6. Let z = 3.4 + -3. What is the nearest to -1 in z, 0, i? i Let y be (261/(-1740))/((-3)/5). Which is the nearest to -0.2? (a) y (b) 2/9 (c) -5 (d) 3 b Let b = 273 + -1621/6. Let k = b - 3. Let l(j) = 3*j**2 + 24*j - 22. Let g be l(1). What is the nearest to 0 in -0.5, g, k? k Let n be 10/(-12) - (-1391)/3210. Let t = 7 + -4. Which is the nearest to n? (a) -7/5 (b) -3 (c) t a Suppose -66*m - 15 = -71*m. Which is the closest to 0? (a) m (b) 1/2 (c) 1/7 c Let t = 776 - 770. Which is the nearest to 0.1? (a) t (b) 2 (c) 0.2 (d) 5 c Let z = -296 + 295.881. Let m = z + 0.019. Which is the nearest to 9? (a) -1 (b) -2/13 (c) m c Let f = -370 + 261. Let u = f + 107. Let l be (-3 - -2)*6/7. What is the closest to -0.1 in l, 1, u? l Let p = 38.006 - 0.006. What is the closest to -0.1 in 2, p, -0.4? -0.4 Let s = -10 + 6. Let j = -173 - -172.7. What is the nearest to j in -2, 0, s? 0 Let b be -3 - (1/2)/((-12)/(-144)). Let f be (-4)/((-300)/b)*(-1 + -4). What is the nearest to 0.1 in f, 0.2, 0.1? 0.1 Let a = 29 + -29.63. Let v = 0.7 + a. Let l = v + -0.27. What is the closest to 0.3 in l, 1/3, 1? 1/3 Let q(j) = j**3 - 5*j**2 - 5*j + 15. Let z be q(6). Let a = -0.22 - -0.72. What is the closest to z in a, -2, -1? a Let x be (-5)/18 - (158/(-18) - -9). What is the nearest to x in -1, 3, -1/7? -1/7 Let k = 4692041813911/221160 - 169724787/8. Let s = -2/1455 - k. Let u = s - 6/19. What is the closest to u in -3, -5, -1? -1 Let k = -3.55 - -3.25. What is the nearest to 6 in k, -6, 1, -0.4? 1 Let z be (-1)/(-6) - 76/24. Let k be (-2)/(-16) + 4/16. Let n = 34 + -39. What is the nearest to 0.2 in z, k, n? k Let w = 8.8 - 8.4. What is the closest to 0 in w, 2/19, -1? 2/19 Let l = -102.1 - -102. Which is the nearest to l? (a) 2/11 (b) -4/7 (c) 2 a Let z be 264/(-60) - (-2 + (-16)/(-10)). Which is the closest to 1? (a) 0.1 (b) z (c) -33 a Let r = -295/198 + 23/22. Let l = 1/196 - 397/980. What is the nearest to l in r, 3, 0.3? r Let o = 0.255 - 0.155. Which is the closest to -1? (a) 1 (b) 4/7 (c) o c Suppose -113 + 93 = -20*o. Which is the nearest to o? (a) -1 (b) -5/3 (c) -78 a Let u = -22.528 - -0.128. Let w = u - -22. Which is the closest to -0.1? (a) w (b) -4 (c) -2/11 c Let m = 40 - 39.4. Let z = -2.9 + 1.8. Let c = m + z. What is the closest to -2/9 in c, -4, -1? c Let i = -133 + 667/5. Which is the nearest to i? (a) 1/3 (b) 0 (c) -1 a Suppose 104 = 5*k - 11. Suppose -4*y = -x + 24, -2*x + 0*y + 3*y = -k. What is the nearest to 1 in x, 1/4, 0.05? 1/4 Let c = -806/3 - -8902/33. What is the nearest to c in -3, 1/4, -1/3? 1/4 Let u = 45 - 44.5. Suppose 5 = 5*o, o - 4 = -2*j - o. Which is the nearest to j? (a) u (b) -4 (c) 0.07 a Let i be 94/7 + (-9)/21. Let q = i - 19. What is the nearest to 0.2 in -0.1, -0.5, q? -0.1 Let l be (-2)/(-14)*(-10)/(-5). Let o = 1 - -1. Let f be o/(-11) + (-4)/99. What is the closest to 2/3 in l, 0.4, f? 0.4 Let f = -1 - -4. Let h = -3 + 2. Let p = 0.04 - 0.14. What is the closest to 0.1 in f, p, h? p Let p = -0.15 + 0.2. Let g = -6.9 + 6.835. Let c = g + -1.935. What is the closest to 2/7 in p, c, 2/3? p Let l = 3127/5 + -625. Which is the nearest to l? (a) 6/11 (b) 0.07 (c) 0 a Let p = -19.99 + 19.1. Let v = p - -1.39. Which is the nearest to 0? (a) v (b) -6 (c) 4 a Let p = -202 - -201. Which is the closest to 6/13? (a) p (b) -5 (c) -0.4 c Let v be ((-26)/39)/(52/12*1). What is the nearest to 1 in v, -0.2, -1? v Let i = -142 + 142. What is the closest to 1 in i, 4, -0.3? i Suppos
{ "pile_set_name": "DM Mathematics" }
hen two letters picked without replacement from rxmmcrrmmmgk? 5/132 Three letters picked without replacement from {e: 3, h: 2}. What is prob of sequence eee? 1/10 Four letters picked without replacement from lolloooolo. Give prob of sequence looo. 2/21 Three letters picked without replacement from {t: 2, g: 7, n: 4}. What is prob of sequence gng? 14/143 What is prob of sequence ogqo when four letters picked without replacement from bhooqgo? 1/140 Two letters picked without replacement from {m: 1, k: 1, z: 1, d: 1, o: 1, v: 6}. Give prob of sequence kv. 3/55 Two letters picked without replacement from {b: 1, y: 4, u: 3}. Give prob of sequence uy. 3/14 Three letters picked without replacement from {h: 1, x: 1, j: 12}. What is prob of sequence xjj? 11/182 What is prob of sequence ms when two letters picked without replacement from {g: 2, s: 1, m: 1, t: 2, k: 1}? 1/42 Two letters picked without replacement from tpptmmmmmpwpt. What is prob of sequence pm? 5/39 What is prob of sequence jfvu when four letters picked without replacement from {i: 7, v: 1, f: 3, j: 2, w: 2, u: 5}? 1/3876 Calculate prob of sequence aeaa when four letters picked without replacement from eaaea. 1/10 Three letters picked without replacement from {u: 9, i: 11}. What is prob of sequence uui? 11/95 What is prob of sequence og when two letters picked without replacement from bgbcjjjjbgogj? 1/52 Calculate prob of sequence ssf when three letters picked without replacement from {r: 4, f: 2, d: 2, s: 4}. 1/55 What is prob of sequence uub when three letters picked without replacement from {u: 6, m: 1, b: 1, j: 8}? 1/112 Calculate prob of sequence ek when two letters picked without replacement from aafakanaaaaaafaeaaa. 1/342 Four letters picked without replacement from ccnncnnclclcn. Give prob of sequence cnlc. 5/286 Two letters picked without replacement from eeeaeooaetetaoeeaoe. Give prob of sequence ea. 2/19 Three letters picked without replacement from pubzt. Give prob of sequence tpu. 1/60 What is prob of sequence jeqq when four letters picked without replacement from {q: 7, e: 2, j: 1}? 1/60 Calculate prob of sequence fs when two letters picked without replacement from skeffsfff. 5/36 Four letters picked without replacement from {g: 1, j: 1, l: 4, o: 1, d: 2}. What is prob of sequence jlgd? 1/378 Three letters picked without replacement from {u: 3, v: 3, n: 8, i: 3}. Give prob of sequence nuu. 1/85 Three letters picked without replacement from fffatfktkffftftf. Give prob of sequence ffa. 3/140 What is prob of sequence nn when two letters picked without replacement from {n: 6, y: 5, p: 2}? 5/26 What is prob of sequence mhg when three letters picked without replacement from {g: 6, j: 2, m: 2, u: 1, h: 5}? 1/56 Two letters picked without replacement from {b: 6, s: 4, c: 2, p: 3}. What is prob of sequence pc? 1/35 Three letters picked without replacement from ddgzbsbs. Give prob of sequence dsd. 1/84 Calculate prob of sequence ele when three letters picked without replacement from {l: 2, e: 3}. 1/5 Calculate prob of sequence fj when two letters picked without replacement from {d: 3, j: 1, f: 1, i: 1, y: 1}. 1/42 Four letters picked without replacement from {y: 2, m: 1, v: 3, b: 1}. Give prob of sequence byyv. 1/140 Calculate prob of sequence ns when two letters picked without replacement from naooaasono. 1/45 Three letters picked without replacement from {t: 3, m: 5, v: 1}. What is prob of sequence mtv? 5/168 Calculate prob of sequence kzg when three letters picked without replacement from ggkz. 1/12 Two letters picked without replacement from {a: 17, i: 3}. Give prob of sequence aa. 68/95 Three letters picked without replacement from {q: 2, o: 10, y: 2}. What is prob of sequence oyo? 15/182 Three letters picked without replacement from tktktkttaaattttttt. What is prob of sequence atk? 3/136 Three letters picked without replacement from {r: 12, k: 3, f: 2}. Give prob of sequence rkr. 33/340 Calculate prob of sequence ll when two letters picked without replacement from {o: 17, l: 1}. 0 Three letters picked without replacement from eebepwewzdbbe. Give prob of sequence dep. 5/1716 Calculate prob of sequence ll when two letters picked without replacement from {l: 6, q: 8, m: 2, c: 2}. 5/51 Two letters picked without replacement from wwfvwvfxqvwvvvwqw. Give prob of sequence vq. 3/68 What is prob of sequence nken when four letters picked without replacement from nekenennnye? 1/99 Calculate prob of sequence zxxi when four letters picked without replacement from {i: 2, z: 2, t: 1, x: 11}. 11/1092 What is prob of sequence ka when two letters picked without replacement from kae? 1/6 Three letters picked without replacement from hhhhhhrhhrhhhrh. What is prob of sequence hhh? 44/91 Three letters picked without replacement from bbbbbbbbb. What is prob of sequence bbb? 1 Two letters picked without replacement from zbzbmzbnbbmznzzbzmb. What is prob of sequence bm? 7/114 Four letters picked without replacement from {q: 1, w: 4, g: 3}. Give prob of sequence wqwg. 3/140 Three letters picked without replacement from yyyyyyyyyyyytyyyyyy. Give prob of sequence tyy. 1/19 Three letters picked without replacement from ndentndnnxnndnneext. Give prob of sequence ddt. 2/969 Two letters picked without replacement from jttwjtjwjjtgjgjggwjw. What is prob of sequence gj? 8/95 Three letters picked without replacement from {j: 3, s: 3, v: 2}. Give prob of sequence ssv. 1/28 What is prob of sequence ddpn when four letters picked without replacement from {w: 2, d: 2, k: 1, n: 4, p: 1}? 1/630 What is prob of sequence nnqq when four letters picked without replacement from nqqn? 1/6 Two letters picked without replacement from rfmcrxfcxccfcf. What is prob of sequence rr? 1/91 Three letters picked without replacement from {k: 1, n: 7}. What is prob of sequence nnk? 1/8 Two letters picked without replacement from deemceceemcemctmte. What is prob of sequence dt? 1/153 What is prob of sequence pdp when three letters picked without replacement from fpfpfdffpdff? 1/110 What is prob of sequence ii when two letters picked without replacement from iiooooooooo? 1/55 Calculate prob of sequence fjfj when four letters picked without replacement from jfjfjjjjjj. 1/45 Calculate prob of sequence qn when two letters picked without replacement from nnjwcjqc. 1/28 Calculate prob of sequence ggtv when four letters picked without replacement from {g: 7, v: 11, t: 1}. 77/15504 Calculate prob of sequence rgw when three letters picked without replacement from {g: 6, w: 1, r: 2, c: 6, h: 3}. 1/408 Calculate prob of sequence idi when three letters picked without replacement from iiiiidiiiiiii. 1/13 Calculate prob of sequence rwlu when four letters picked without replacement from {w: 2, s: 3, u: 2, l: 4, r: 2, n: 3}. 1/1365 Two letters picked without replacement from {d: 3, x: 17}. What is prob of sequence xx? 68/95 Calculate prob of sequence ojm when three letters picked without replacement from {j: 4, n: 1, o: 1, d: 1, m: 5}. 1/66 Three letters picked without replacement from whwm. What is prob of sequence wwm? 1/12 What is prob of sequence dp when two letters picked without replacement from dpdppadpaypzcppp? 1/10 Three letters picked without replacement from rrrenrnree. What is prob of sequence nrn? 1/72 What is prob of sequence hw when two letters picked without replacement from yhywrwy? 1/21 What is prob of sequence as when two letters picked without replacement from {s: 1, a: 7}? 1/8 What is prob of sequence keeh when four letters picked without replacement from fffkekfeekkeefhefkf? 25/15504 Calculate prob of sequence cq when two letters picked without replacement from {c: 5, q: 5}. 5/18 Calculate prob of sequence frr when three letters picked without replacement from uiuuiruirfruriuri. 1/204 Three letters picked without replacement from vyeev. Give prob of sequence evv. 1/15 Three letters picked without replacement from {z: 17, y: 2}. What is prob of sequence zzz? 40/57 What is prob of sequence ene when three letters picked without replacement from euyueen? 1/35 Three letters picked without replacement from {p: 6}. What is prob of sequence ppp? 1 What is prob of sequence hhhv when four letters picked without replacement from hhpvvhvhh
{ "pile_set_name": "DM Mathematics" }
olve 631 = -j + 18*v, 5*j + 61*v + 12277 = 56*v + 12447 for j. -1 Solve 4*u = p + 29, 390*u = -54*u + p - 1156 - 575 for u. -4 Solve 2 = -76*r - 80*r + 157*r - 5*j, 7*j - 21 = 2*r + 22*j for r. -3 Solve 5*o = -5, 5*v + 71*o - 67*o = -40 - 19 for v. -11 Solve -7*o + 4*o + 113 = 4*q - 6*o, 111 = 3*q - 3*o for q. 2 Solve -5*f - 4*x = 117, -2529 = -120*f + 129*f + 90*x for f. -1 Solve -24 = -4*g + z + 16, 5*g + 377 = -14*z for g. 3 Solve a + 29922*k = 29911*k - 15, -2*a - 3*k = -27 for a. 18 Solve 0 = -766*o + 773*o - 2*c - 34, 26 = -2*o - 3*c for o. 2 Solve 2*g + 10 = 0, m + g - 144 + 166 = 0 for m. -17 Solve -1 = c - 3*s, 3*c - 4*c - 490 = -0*c + 2*s - 509 for c. 11 Solve -184*j = 4*x - 182*j - 24, 2*x + j + j = 3 + 13 for x. 4 Solve w + 9 = -6*v, 537*v + 2 = 1071*v - 535*v for w. 3 Solve -5*s - 55 = 5*o, -27*o - 147 = -4*s - 19*o - 83 for s. -2 Solve 45 = -5*j, 7*h + 46 = 2*h - 4*j - 15 for h. -5 Solve 4*x + 5*z = 2665451 - 2665259, -2*z = 21*x - 135 for x. 3 Solve 127 = d - 3*p - 66, 241 = -23*d - 3*p for d. -2 Solve u = 4*f + 3, 155*f + 2*u - 6 - 9 = 154*f for f. 1 Solve 8*h + 5*h - 5*h = 5*a + 3*h - 220, 0 = -a - 3*h - 148 for a. -4 Solve -2*t + 0*t + 86 = 20*i, 189*t = 194*t + 35 for i. 5 Solve 32*s = 22*s + 6*p + 54, 5*p + 43 = -25*s + 20*s - 2 for s. 0 Solve 12*i - 44 - 4 = 3*o, -3*i - 28*o + 14*o + 12 = -18*o for i. 4 Solve -5*f + 599*b = 606*b - 28, -4*f + 3*b = -25 + 37 for f. 0 Solve 4*i = 774769*q - 774773*q, -5*q + 4*i = 45 for q. -5 Solve -5*w + 10 = -4*j + 13 - 2, -w = -8*j - 43 for j. -6 Solve -3*s - q - 5147 = -5142, 2*q + 8 = -5*s - 6 for s. 4 Solve j = -0*j + 4*c + 22, -4*c - 10 = 127*j - 122*j for j. 2 Solve -4*f - 10 - 1 = -3*q + 5*f - 10*f, 0 = 2*q + 3*f - 26 for q. 1 Solve 0*r - 14 = 5*b + 4*r - 44, r = 60*b - 115 for b. 2 Solve -1030*u = -1031*u - s - 19, 0 = -4*u - 5*s - 91 for u. -4 Solve -z = -3*j - 11, -6*z + 184*j = 182*j + 14 for z. -4 Solve 4*l - 16*f + 1613 - 1605 = 0, 0 = 5*l + f + 31 for l. -6 Solve 3475*s = 3478*s - 5*m + 7, s + 5*m + 9 = 0 for s. -4 Solve -2*h + 7*a = 214 - 52, 52*a - 22 - 36 = 49*a + 14 for h. 3 Solve 2*w = -19004*k + 19001*k - 7, 2*w - 3*k = -37 for w. -11 Solve -2*o - 35 = -23*t, 349*t - 348*t = -o - 5 for o. -6 Solve 295*g - 298*g - 4*y = -35, -g = -3*y - 16 for g. 13 Solve 3*h + 24 = -3*i, 1 - 9 = -i - 4*i + 5*h - 8 for i. -4 Solve -1012 + 151 = 682*a + 4*n + 580 - 453 + 1010, 0 = -3*n + 36 for a. -3 Solve -12*c - b + 348 = 0, 0*c - 2*c + 15*b - 67 + 125 = -0*c for c. 29 Solve -20*q - 4*h + 14 = 28*q - 46*q, -37 = -3*q + 2*h for q. 11 Solve -2*j - 3498*v = -3495*v + 21, 2*v - 492 = 83*j for j. -6 Solve 5*j - 5*u + 6*u + 4*u = -0*u + 90, 24 = -24*u for j. 19 Solve -2*m + 3*m - 14*a - 319935 + 319958 = 0, a - 7 = -m for m. 5 Solve 6*g - 6*g - 8*f - 65 = -5*g - 3*f, -21*f + 33 = 13*g - 26*f for g. -4 Solve -7*v + 17784*c = 17788*c - 118, -5*v + c + 92 = 0 for v. 18 Solve -2*k + 485536 - 485400 = 4*j, 2*k = -16*j + 196 for j. 5 Solve 3*w + 882 = -13*u + 849, w - 5 = u for u. -3 Solve -62089*v = -62093*v - 2*c + 4, 6*v - 6 = -2*c for v. 1 Solve -t - 51 = 11*h - 9*h, 0 = 5*t - 14*h - 297 for t. -5 Solve -17*t + 3*t - 30 = -4*r, 2*r + 282*t - 284*t = 10 for r. 4 Solve -3*j + 89150 = -r + 89123, 4*r = -2*j - 52 for r. -15 Solve 4*p - 2*p - 99 - 101 = 37*o, p + 80 = 5*p + 6*o for p. 26 Solve 5*q + 7*q + 5*q - 2*q = -4*p - 115, -4*q = -3*q + 5 for p. -10 Solve -17*v + 9*v + 0*v = 5*n - 6*v + 75, -n + 5*n - 4*v = 108 for n. -3 Solve 64405*o - 64400*o - 4*x = -17, -5*o - 5*x - 35 = 0 for o. -5 Solve 0 = 2*d + r - 16, -7*d - 3*r + 69 = 18 for d. 3 Solve -3*b + 3*z = -18, 131*z - 79*z = 2*b - 312 for b. 0 Solve 0 = 2*r + 5*v + 62, 0*v + 6*v + 103 - 29 = -2*r for r. -1 Solve 2*x - 8*x - 78 = 4*v + 2*v, -73 = -334*v + 339*v - 3*x for v. -14 Solve 0 = -7*u - 4*m - 48 + 43, -4*u = -m + 3*m + 4 for u. -3 Solve 4*s + 453*o - 460*o + 56 = 0, -o = 4*s + 3*o - 32 for s. 0 Solve -29*a - 3*w - 16 + 54 = -81*a, -4*w - 88 = 0 for a. -2 Solve 0 = -4586*u + 4581*u + 2*v - 38, -4*u = -4*v + 88 for u. 2 Solve 0 = -k + 4*t - 98, 449*k + t = 446*k + 31 for k. 2 Solve 11*p + 3*u - 10 + 157 = 0, 2*u - 6*u + 0*u = p + 32 for p. -12 Solve h + 116 - 125 = -2*t, h + 3*t = 13 for h. 1 Solve -9*c - 64 = -g - 0*c + 6*c - 7*c, -3*c = 5*g + 24 for g. 0 Solve 0 = o - 5*f + 360 - 362, 97*f = 3*o + 240 for o. 17 Solve 12*x = 4*h + 8*x - 0 - 8, 0 = 5*h - x - 18 for h. 4 Solve -33*a + 31*a + 14 = 4*y, -25*a + 13*a + 11*y = -9 - 145 for a. 11 Solve 4*v + 5*m - 222 = 0, 30*m = 70*v + 55*m - 26*m - 3708 for v. 53 Solve 41 = 5*l - 8235*u + 8238*u, -5*l + 122 = -24*u for l. 10 Solve 3*a = -7*m + 4*m + 165, -62*m = -a - 59*m + 39 for a. 51 Solve -216*s - 20*r = -214*s + 74, 0 = -5*s + r - 32 for s. -7 Solve -126 = 31*k - a, -6*k + 4*a + 5472 = 5504 for k. -4 Solve 102 = -4*r + 2*v, -30 = -899*r + 900*r - 5*v for r. -25 Solve 172*q + 6*v - 92 = 80*q + 87*q, -14*q = 4*v - 232 for q. 16 Solve 470*d = -5*r + 7060, r = -3*r + 7*r + 3*d - 51 for r. 2 Solve 26 = 4*z - 10*d, 441*d + 11 = 4*z + 446*d for z. 4 Solve 1 = -234*c + 229*c - a, 2*c - 650*a = 3902 for c. 1 Solve 8*q - 146 = 6*q + 4*x, -5*x - 205 = 5*q for q. -3 Solve 2 = -5*a + 9*a + 2*q + 12, -5*a - 47*q - 146 = 0 for a. -1 Solve -m - 36 = 4*k, 2199 - 2071 = 32*m for k. -10 Solve 2*y - 58 = 4*a - 2*a, 2*a = -19*y - 18 - 82 for y. -2 Solve -3*q + 45*b = 20 + 307, 0*q - 4*q - 3*b - 9 = -2*b for q. -4 Solve 0 = 5*z - 5*o - 25, -1130*z + 1126*z - o = -30 for z. 7 Solve -5*j - 212*c - 6 = -210*c, -5*c - 61 = j - 0*j for j. 4 Solve 2*k + 70 + 57 = x, 132*k - 5*x - 950 + 9143 = -2*x for k. -62 Solve 52*d - 3*y = -47*d + 22*d - 255, -25564*d = -25562*d - 3*y + 30 for d. -3 Solve 12*u - x - 8 = -9*u + 39*u - 16*u, -5*u - 8*x - 42 = 0 for u. -2 Solve -47*u - 1072 = 9*m + 7, -m + 115 = -3*u - 5*m + 29 for u. -22 Solve -3*x - 693 = -76*r, 176*r - 27 = 173*r for x. -3 Solve 0 = q - 3*s - 18, 7*q - 15*q + 161 = 3*s - 37 for q. 24 Solve 5*q + 7*q = -3*i + i + 34, -5*q = -2*i - 17 for q. 3 Solve -4*g - 20 = 3*b, -b + 28 + 32 = -5*b + 3*g for b. -12 Solve 12*q + 28128*z + 29 = 28129*z, -5 = 2*q + z - 6 for q. -2 Solve -3*b - 5*g - 7 - 8 = b, 16*g - 120 = 4*b for b. -10 Solve 0*j - 13 = -12*j + 13*j + 3*n, -4*j + n = 0 for j. -1 Solve -3*o + 61515*m + 258 = 61551*m, 8 = 4*m for o. 62 Solve 7*h = x - 15, 0 = 11*h - 3162*x + 3160*x + 24 for h. -2 Solve x = -152 + 71, 5*h - 3*x - 138 = 2*h + 114 for h. 3 Solve 4*h + 7 + 46 = -7*s + 10*s, -s = 5*h + 52 for s. 3 Solve a + 47*k - 58*k + 6 + 65 = 0, 0 = 39*k - 234 for a. -5 Solve 0 = -4*a + 124, 218*a - 6846 + 82 = 2*y for y. -3 Solve 0 = 6*y - 30, -j - 3*y = -422 + 402 for j. 5 Solve 2*m + 4 = -5*k - 112 - 68, 3*k - 5*m + 98 = 0 for k. -36 Solve j = 20, -30*j - 13*j + 482 + 346 = 3*p - 47 for p. 5 Solve 5*g + 215 = 2*f - 16*f, 421*f - 101 = 428*f - 4*g for f. -15 Solve -10*k + 21 = -3*c, 0*k + 6*c = 6*k - k + 3 for k. 3 Solve 0 = t + 4*n - 14, -4*t + 0*t = -69*n - 17*n - 464 for t. 30 Solve 65*d - 64*d = -13*v + 415, 0 = -d + 3*v - 97 for d. -1 Solve 5*k + 3*o - 12528 = -12522, 0*o + o + 4 = 4*k + 3*o - 0 for k. 0 Solve 19*s - w = 14*s + 52, -w + 4 = -3*s - s + 46 for s. 10 Solve -9*r = 4*i + 153, 5*r - 1337 = 5*i - 1227 for i. -27 Solve -4*b + 16*b - 5*r + 44 = -9*b, 5*b + 44 = -3*r for b. -4 Solve -2*j + j + 0*f + 3*f + 1 + 24 = 0, 0 = 13*f for j. 25 Solve -24 = -2*m + 2*k - 4 - 18, -3 = -3*m + k for m. 1 Solve 6*q + 5*h - 50 = 0, 7*h - 206 + 136 = 4*q for q. 0 Solve m + 3*r = -10, -4*r - 11*r = -m - 12*r + 20 for m. 5 Solve 5*d + 51 = 2*q, 4*q - 66 = 1698*d - 1700*d for q. 18 Solve 54*y - 12 = -2*h + 53*y, -11*y = h - 111 for h. 1 Solve 16*n - 2*k - 18 = -0*k, 4*n - 27 = 1698*k - 1695*k for n. 0 Solve 3*z = -5*d - 47, 0 = -d + 2*z + 280518 - 280478 for d. 2 Solve -32*q + 60*q - 39 = 33*q + 23*j - 40*j + 18*j, j = 3*q + 1 for q. -5 Solve 6*w + 996 - 1012 = -2*k, -k - 3*w + 5 = -w - 3 for k. 8 Solve -1773*o + 1771*o + 2*h - 10 = 0, -6*o - 10 = -2*h - 0 for o. 0 Solve 1505 = -5*v + 7*x + 1310, 4*x = 5*v + 120 for v. -4 Solve 275*d + 29 = 273*d - 8*h - 35, -3*h = 3*d + 78 for d. -24 Solve -4*y - 14267451 = 4*h - 14267467, -11 = -3*y - 2*h for y. 3 Solve 4*p + 72 = 76*g, -332*g = p - 330*g - 3 for p. 1 Solve 6 = -648523*x + 648521*x - 2*o, 5*o - 41 = 2*x for x.
{ "pile_set_name": "DM Mathematics" }
= -z*r + y for r. 2 Let h(k) = k**2 - 30*k + 191. Let g be h(9). Solve g*q = -2*q + 2*y - 14, -y + 1 = 0 for q. -3 Let x be (84/(-10))/(48/320). Let a(q) = -45*q. Let t be a(1). Let v = t - x. Solve -f - 1 = 2*o, -3 = -4*o + 4*f - v for o. -1 Suppose -54*z - 440 = -83*z - 191*z. Let l = -1 + 3. Solve -k + 2*k + 8 = -4*p, -z*p - l*k - 4 = 0 for p. -2 Let h be (55/(-10) - 4)*2. Let t be (h - -15)*(-3)/4. Solve o + 0 - 3 = t*y, 10 = -5*y for o. -3 Let m(t) = -34 - 10*t**2 + 7*t - 3*t**3 - 9*t - 33*t**2 + 2*t**3 - 47. Let j be m(-43). Solve 3*z - 28 + 1 = -3*p, 29 = j*p + z for p. 5 Suppose -441 = -3*h + 4*c + 80, 3*h + c - 511 = 0. Suppose -h*d - 6 = -174*d. Solve 4 = -d*t, -2 + 3 = -f + 2*t for f. -5 Suppose 0 = -y + 2, -437 = -w + 20*y - 22*y. Let k = -420 + w. Solve 2*q = -2*q + j - k, 12 = -3*q + 3*j for q. -3 Let r = -1 - -3. Let n be (30/(-75))/(2/(-150)). Let g = n - 25. Solve 3*y = 2*h - 1, r*y = 3*y - g*h + 22 for y. 3 Let j(l) = -7 - 5*l + l - 5*l - 36. Let o be j(-5). Suppose -o*m - 5 = -11. Solve 2*b + 2 = m*d, b - 17 = -4*b + 2*d for b. 5 Let r be 2133/1185*5/3. Let u = 3 - 0. Solve r*k + 0*k = -u*j + 9, -9 = 5*j - k for j. -1 Let f(o) be the third derivative of -2*o**5/15 - 11*o**4/6 - o**3/3 - 4*o**2 + 3. Let y be f(-5). Solve -3*d + 5*g - y = 0, -2*d = 3*g - 4*g + 5 for d. -1 Suppose 514 + 1196 = 6*i. Let m = 289 - i. Solve o = 2*j - m, 3*o - 1 = -2*j + 3 for o. 0 Let x(p) = p - 2. Let n be x(6). Let z = n - 2. Let g be 0/(((-13)/(-26))/(3/12)). Solve -2*m = -5*v - g*v + 5, 0 = 2*v + 4*m - z for v. 1 Let j(h) = -h**2 + 3*h + 10. Suppose -2*z - 2*b = -6*z + 22, 0 = -2*z - 5*b - 7. Let g be j(z). Solve g = 2*u - 2, c - 4*u = -17 for c. -1 Let s = -85 - -87. Let f be 11/(44/96) + s + 1. Solve 5*p + f = -0*t - 3*t, -5*p + 2*t - 7 = 0 for p. -3 Suppose 9 = 3*t + 2*p, 2*t + 3*p - 13 = -2*t. Let f = -11 + t. Let b = 11 + f. Solve s + 0*s + 3*o + b = 0, 5*o + 7 = -3*s for s. -4 Suppose -3*n - 22 = -4*s + 2*n, 3*n + 9 = s. Suppose -2*i + 7 = p, 2*i - s*p = 1 + 10. Solve -4*f = -i*x - 16, 0 = 2*x - f + 3*f for x. -2 Let l be 4/46 - (-1224)/207. Solve g = -3*c + 2, 3*g - 2 = l*c - 11*c for c. 1 Let b(p) = -p + 45. Let r be (-5 - 0) + 11/(77/98). Let v be b(r). Solve -5*o + 2*g + 15 = 0, -o - 10 = -5*g - v for o. 1 Let d(y) = -7*y**2 - 6*y - 54. Let q be d(-5). Let x = q - -231. Solve 4*w - 4*o = -0*w + x, -5*w = -2*o - 28 for w. 4 Let p be 224/(-28)*(-2)/4. Suppose -p*t + 11*j = 6*j - 45, -5*t = -4*j - 45. Solve 6*w + 2*x = 5*w + 7, t*w + 40 = 5*x for w. -3 Let t be (-2256)/(-168) - 15/35. Suppose -2*l + 15 = 3*l. Solve t = -4*c - l*n, -2*c - n = 9 - 4 for c. -1 Suppose -4*g - 36 = -4*j, -13 = g - 5*j + 8. Let t be (27/(-36))/(g/16). Solve -4*n + 1 = -t*y + y, -2*n - 5*y = -17 for n. 1 Suppose -99 = -0*d - 11*d. Suppose 2*i + 5*s = -5, d*s = 4*i + 4*s - 35. Solve -r - r - 5 = -3*x, -5*x - 25 = i*r for x. -1 Let z = -809 + 813. Solve -5*q + 5*v - 25 = 0, z*q = -3*v + 6 + 2 for q. -1 Let x(b) be the third derivative of 3*b**4/8 - 252*b**2. Let f be x(2). Solve 0 = 5*j + 20, -g - f = -3*g + 2*j for g. 5 Let g = 6052 + -6051. Solve -m + g = 0, 6*x - 5*m = 3*x - 14 for x. -3 Suppose 30*v + 553 - 883 = 0. Solve -4*m + 3*r = v, 4*m - m - r + 12 = 0 for m. -5 Suppose 3*r + 5*a - 21 = 0, -10*r + 5*r + 13 = a. Solve -4*y + 3*u - 1 = 0, -3*u = r*y + 22 + 1 for y. -4 Let u be 9/(1*6/18). Suppose -442 = -44*j + u*j. Solve -3*h - 19 = 2*f, -3*h + 1 = 5*f + j for f. -2 Suppose -2*k = -177 + 457. Let f = 142 + k. Solve -2*i - f = u, 3*i - 4*u + 1 = 20 for i. 1 Suppose 540 = -52*v + 49*v. Let s = v - -186. Solve -s = 3*q - 2*m - m, -2*m = -3*q - 8 for q. -4 Let c(l) = 98*l - 192. Let n be c(2). Solve n*d + 16 = 0, 0 = 5*j - 5*d - 17 - 8 for j. 1 Let d(j) = -1 + 0 - 4*j - 3 + 3*j. Let y be d(-6). Suppose -4*o - 44 = -8*o - 4*k, -4*k = 2*o - 40. Solve 3*m - y = -2*l + 5*m, -2 = 5*l + o*m for l. 0 Let a(n) = n**3 - 9*n**2 + 17*n - 1. Let c be a(7). Suppose -4 = -6*u + c. Let p be (-3)/(u + (-4 - 1)). Solve 3*q - 4*q - p*s - 11 = 0, q = 2*s + 9 for q. 1 Let t be 0/(2 + 2 + -1). Let x = 217 - 210. Suppose -5*y + x*y + a = t, y + 5*a = 0. Solve -z = -2*w - 9, 3*z - 3*w - 19 + 4 = y for z. 1 Suppose -9*m + 5 = 86. Let t be m - 6/(-2) - -10. Solve 2*f + 3 = -3*j, -4*j - j + t*f = 5 for j. -1 Let r(s) = -5*s + 4. Let o be r(-6). Suppose 4*y - 14 = o. Suppose -4*t + 4 = -y. Solve 2*u = -4*x - 14, t*x - 3*x + 11 = -3*u for x. -2 Let a be 0/(4 + (-14 + 6 - -2)). Solve 6*l - 5*l = -g - 1, a = -g + 2*l - 13 for g. -5 Let c = 0 - 0. Let y be (13 + -20 + 2*3)*-2. Let l = -321 - -324. Solve y*o + j = l, -o + j = -c + 3 for o. 0 Suppose -5*x = -25, -g - g + 147 = -x. Let n = 75 - g. Let r be ((-45)/(-27))/(2*n/(-6)). Solve 20 = 4*d - r*l, 0 = 2*l - l for d. 5 Let j be (60/20)/((-12)/(-3424)). Let f = j - 854. Solve -f*c = 5*x + 30, -3*c = 3*x - 2*c + 17 for x. -4 Let d = -6437 - -6439. Solve 22*r = 26*r + 8, -d = 2*x + r for x. 0 Let l(n) = -n**2 + 4*n + 7. Suppose 3*c = d + 8, d - 7 = -c + 5. Suppose d = 4*w - 5. Let h be l(w). Solve -3*x = -r + 3*r - 12, h = 5*x for r. 3 Let a be 10 + 5 + 8 + -21. Solve a = -m - 1, 0 = i + 2*m + 2 for i. 4 Let k be 96/9 - (52/(-48) - (-6)/8). Solve u = 6 - k, -2*g - 25 = 3*u for g. -5 Let u be (0/(-1))/(15 - (-21 - -33)). Solve -25*t + 21*t + p - 1 = u, -17 = 3*t - 4*p for t. 1 Let s = -188 - 25. Let q = -359 - s. Let p = 153 + q. Solve -4*o = -4*d + 12, 3*o + 14 = -3*d + p*d for o. 2 Let a = -615 - -630. Suppose 19*g = 15*g + 3*r - 11, 5*g + 2*r = a. Solve -8 = 4*x + 3*n, 2*x - 9 = 2*n + g for x. 1 Let d be ((-4)/(-6) - 1)/((-16 - -15)/12). Solve -5*f = 96 - 81, 0 = -d*i + 2*f + 14 for i. 2 Let w = -219 - -221. Suppose w*d + 4 = -5*c + 5, 18 = 5*d - 3*c. Solve 3*z + d*x = 0, 5*z + 13 = 4*x - 32 for z. -5 Let b = -619 + 412. Let r = 216 + b. Solve r = -4*s - 2*m - 21, 0 = 5*s - 5*m for s. -5 Let p(d) = -d**3 - 39*d**2 + 14*d - 1036. Let x be p(-40). Let g = -2 + 7. Solve -3*z + 20 = 5*q + x, 0 = -g*z - 4*q + 18 for z. 2 Let m = 13 + -8. Let s be 212/12 - 16/6. Solve -s = m*i, -4*u + i + 11 = -4*i for u. -1 Suppose -32 + 11 = -7*d. Suppose 0 = -d*r + 40 + 38. Suppose v = r - 25. Solve 0 = -3*b + 2*g + 10 - v, 2*g = -5*b + 31 for b. 5 Let i(r) = -47*r + 76. Let c be i(10). Let j = c + 396. Solve 2*s - 4 = -j*t - 0, 3*s + 18 = 3*t for s. -2 Suppose 7*p = 184 - 37. Let v be -2 - 42/4*(-14)/p. Solve 2*l = 3*z + 16, -18 = -0*l + l + v*z for l. 2 Suppose 5*j - 210 = -5*m - 30, m + 7*j - 42 = 0. Solve 5*o = -x + 10, m = 88*x - 92*x + 5*o for x. -5 Let b = 33 + -111. Let r be 0/(-1) + b/(-26). Solve -o - 9 = r*k - 4*o, 2*o + 15 = -5*k for k. -3 Suppose -15*s = -20*s - 195. Let h(m) = -m**3 - 39*m**2 + 4*m + 159. Let w be h(s). Solve c + 15 = -2*v + w, -3*c + 4*v = -14 for c. -2 Suppose -657 = -28*u - 377. Solve 2*c - 5*d = -7 - u, 0 = c + d - 9 for c. 4 Let s(k) = -33*k + 464. Let u be s(14). Solve 0 = -5*x + 5*l, -2 = -5*x - u*l + 19 for x. 3 Let p(y) = -8*y - 1. Let w be p(-1). Suppose 5*m - 14 = -w*f + 5*f, -3*f = 9. Solve -4*s + 19 = -3*k + m*k, 0 = -4*s - 5*k + 15 for s. 5 Suppose 4*i - x - 53 = -33, 2*x = -2*i. Solve -2*j = 2*n + 6, -i*n - 14 - 4 = j for n. -5 Let j(f) = 10*f**2 - 11*f - 42. Let w be j(-5). Suppose 19*i + 35 - w = 0. Solve d + 13 = -0*d + 4*x, 0 = -3*x + i for d. 3 Let g be 2/((-20)/3974) + 114/(-190). Let u = g - -400. Solve 2*k + 8 = -0*k - u*s, 0 = -k + 3*s for k. -3 Suppose 13 = 4*z - 3, 3*g + 8 = 5*z. Solve 7 = j + g*w + 13, 0 = -4*j + w + 10 for j. 2 Suppose -390 - 798 = -297*o. Solve 0 = -4*s - 55*p + 50*p + o, 3 = 3*s - 5*p for s. 1 Let u be (-12)/(0 + 12/(-16)) - -2. Let j be 4/(2*6/u). Solve h - j*h = -v + 3, -4*h = 0 for v. 3 Let o be (100/10 + -9)/(3/15*1). Solve 4*z - 20 = 8*z, o*z = -u - 31 for u. -6 Let w = 20 - 15. Let n(q) = -q**3 + 6*q**2 - 7*q + 22. Let o be n(w). Solve 4*h - 5*a = -3*a + o, -4*a = 0 for h. 3 Let m be 69*(((-380)/12)/(-5) + 246/(-41)). Solve 4*d - 12 = -4*z, m = 5*d - 5*z + 6*z for d. 5 Let z be 2/(-8) + (-520)/(-32). Let f be (-4)/(-2)*(-82)/(-164)*0. Solve -2*s - 4*l - 2 = f, -4*l = -4 + z for s. 5 Let t be 704/14 + 28 + 4158/(-147). Solve 4*j - 5*l + t = 9*j, -5*j = 3*l - 40 for j. 5 Let s(r) = 12 - 39*r + 0 + 0*r**2 + 0*r**2 + 64*r + 2*r**2. Let o be s(-12). Solve o = -5*t - 4*i -
{ "pile_set_name": "DM Mathematics" }
Let x be 0/(8*21/56). What is the remainder when l(x) is divided by 7? 1 Suppose 1 = 4*v - o - 19, 3*v + o - 22 = 0. Suppose 2*z + u - 91 = 0, -3*u = 9 + v. Calculate the remainder when z is divided by 20. 8 Let i(o) = o**3 + 63*o**2 - 1464*o - 134. Calculate the remainder when i(-81) is divided by 3. 1 Suppose 316 = 2*t - 2*m, 4*m + 986 - 199 = 5*t. What is the remainder when 1393 is divided by t? 153 Let j be 2/3 - 13/(-3). Suppose -2 = -2*v + 10*g - 7*g, -2*v + j*g = 6. Calculate the remainder when 55 is divided by v. 6 Suppose -18*y - 996 + 1140 = 0. What is the remainder when 2273 is divided by y? 1 Let f(i) = 23*i**3 - 5*i - 4. Let l be f(-1). Let u(r) = 15*r + 1. Calculate the remainder when (-143)/(-5) - l/55 is divided by u(1). 13 Let d = 706 + -250. Calculate the remainder when d is divided by 93. 84 Suppose r - 346 = -4*p, r = -5*p - 218 + 651. Let c(t) = 2*t**2 - 2. Let i be c(-2). Suppose -i*d - 21 = -p. What is the remainder when 86 is divided by d? 9 Let c(v) = -23*v + 22. Let f be c(5). Let k = -79 - f. Calculate the remainder when 44 is divided by k. 2 Let s(a) = -a**2 + 4*a + 1. Let q be s(3). Suppose -92 = -6*k + q*k. Let y = 7 - -6. Calculate the remainder when k is divided by y. 7 Let s(j) = 9 + 17*j**2 - 7*j + 8 - 18 + 11*j**2. Calculate the remainder when 58 is divided by s(1). 18 Suppose 229*q + 7 = 370 + 782. Let j(v) = -v**3 - 4*v**2 - 3*v. Let w be j(-4). Let y = 30 - w. Calculate the remainder when y is divided by q. 3 Suppose -2*p + 3*p = 5*k - 17, -6 = -3*k. Let a(j) = -6*j**2 + 2 + 6*j + 2*j**3 - 1 - 3*j**3 + 0*j**2. Calculate the remainder when 11 is divided by a(p). 3 Let l be 3/(6/18*-9). Let k(x) = -197*x + 5. What is the remainder when k(l) is divided by 7? 6 Suppose 85*z + 1674 = 91*z. Let p = -258 + z. Suppose 0 = -2*v + 31 + 85. What is the remainder when v is divided by p? 16 Suppose -5*o = -106*q + 71*q + 98965, o = 5*q - 14137. What is the remainder when q is divided by 81? 74 Suppose 31 = -0*y + 2*y + 3*c, -c - 51 = -2*y. Let d = y - 14. Let j = 12574 + -12521. Calculate the remainder when j is divided by d. 8 Let h be (-424)/6 - (-25)/15. Let k = 75 + h. Calculate the remainder when k is divided by 2. 0 Let d = 0 - -10. Suppose -3*k + 484 = 4*p, -k - 5*p + 10*p = -155. Let y = -111 + k. Calculate the remainder when y is divided by d. 9 Let y = 81 - 51. Let n = -576 + 630. What is the remainder when n is divided by y? 24 Let l = -104296 - -104299. Let s = 3 - -2. Suppose 37 = 2*u + 4*i + i, s*i - 100 = -5*u. What is the remainder when u is divided by l? 0 Let m(n) = 25*n**2 + 60*n - 52. What is the remainder when m(-5) is divided by 87? 12 Let h(x) = 2*x**3 - 15*x**2 - 8*x - 2. Let u be h(7). Let i = -101 - u. What is the remainder when 11 is divided by i? 5 Let j = -199 + 293. What is the remainder when 250 is divided by j? 62 Suppose -240*f - 1848 = -4*t - 242*f, -t = -2*f - 457. What is the remainder when t is divided by 204? 53 Let b(r) = -17*r + 7. Let f be (2065/5)/7 + 3. What is the remainder when b(-6) is divided by f/217 - (374/(-14) - 1)? 25 Suppose -k + 4*n = -713, -13*k + 2088 = -10*k + 5*n. Calculate the remainder when k is divided by 16. 13 What is the remainder when 130 is divided by (4816/(-336))/(1/(-3))? 1 Let w(b) = 235*b - 2307. What is the remainder when 179 is divided by w(10)? 7 Let h(z) = -6*z - 15. Let d be h(-3). Suppose d*s - 156 = 174. Let y(g) = 6*g**2 - 2*g. Calculate the remainder when s is divided by y(-2). 26 Suppose 2988 - 587 = 7*w. Suppose -6*u - 193 = -w. What is the remainder when 374 is divided by u? 24 Let n(a) = -a**2 - 28*a - 93. Let i be n(-24). Suppose -3*k + 40 = o, -5*o - 22 = -i*k - 168. Calculate the remainder when 91 is divided by o. 29 Suppose -4*q - 337 + 145 = 0. Suppose 5*b = 497 - 152. Let w = q + b. Calculate the remainder when 123 is divided by w. 18 Suppose -2*b + 5*b = -141. Let l = 24 + b. Let n = 40 + l. What is the remainder when 48 is divided by n? 14 Let i(b) = -b**3 + 12*b**2 + 6*b - 39. Let l = 332 - 320. Calculate the remainder when 63 is divided by i(l). 30 Suppose -10*x + 217 = -373. Let i be (26/(-8) - -3)*-4. Calculate the remainder when x is divided by i + -2 - 16/(-1). 14 Let o(f) = -2*f - 90. Let b be o(15). Let a = b - -214. Let k(c) = -19*c. What is the remainder when a is divided by k(-1)? 18 What is the remainder when ((-995756)/(-339))/((-4)/(-6)) is divided by 14? 10 Let m(s) = 33*s - 5339. Calculate the remainder when 91 is divided by m(163). 11 Suppose 0 = -3*f + 9*f - 24. Suppose b + 12 = -2*b + 4*w, 4*w = f*b + 12. Calculate the remainder when 340/(-8)*36/(-10) + b is divided by 31. 29 Suppose 41*i - 1757 = 2835. What is the remainder when 1676 is divided by i? 108 What is the remainder when 263 is divided by (288/(-18) + 18 - 260/(-6))*3? 127 Let i = -17 + 36. Let u(c) = 7*c**2 - 9*c + 25. Let n be u(5). Suppose 0 = 5*j - 4*m - 136 - 597, j = -2*m + n. Calculate the remainder when j is divided by i. 16 Suppose -3*m - j = -0*j - 172, 5*m + 5*j = 300. Suppose 47*x + 108 = 65*x. Calculate the remainder when m is divided by x. 2 Let s(d) = -238*d + 480. What is the remainder when 197 is divided by s(2)? 1 Suppose 2*m = 3*z - 2 - 3, 3*m - 18 = -4*z. Suppose 2*l = q - 13, 13 = 2*q + m*l - 31. What is the remainder when (-3)/(-4)*(2051/21 + 1) is divided by q? 17 Suppose -2275 = -20*w - 215. Suppose w*f - 251 = 102*f. Calculate the remainder when f is divided by 64. 59 Let r(f) = -12*f + 400. What is the remainder when 4199 is divided by r(25)? 99 Suppose 6333 = 25*f - 1017. Calculate the remainder when f is divided by 158. 136 Let s = 79 - 77. Suppose -2*j + 18 = -3*u + u, 0 = -s*j - u + 6. Suppose 67 = j*x - k - 2*k, 0 = 4*x - 5*k - 51. Calculate the remainder when x is divided by 3. 2 Let y(t) = t**3 + 5*t**2 + 10*t - 1. Let g be y(5). Suppose -2*v + 2*l - 7*l + g = 0, 4*v - 643 = -l. What is the remainder when v is divided by 5? 2 Suppose 7949 = 10*o + 249. Suppose 8*f + 2*f = o. What is the remainder when f is divided by 8*1*(-2 + 4)? 13 What is the remainder when 39 is divided by -33*6/(-18) - -2*(-1 + 2)? 0 Suppose 22*d = 5*u + 4521 + 170, -1069 = -5*d + 4*u. Calculate the remainder when 502 is divided by d. 76 Let l(p) = 6091*p**2 - 27*p - 13 - 6092*p**2 - 20. What is the remainder when l(-23) is divided by 24? 11 Let w = 26 - 15. Let q = 76 + -83. Calculate the remainder when (q/((-7)/(-2)))/((-2)/41) is divided by w. 8 Let o(a) = a**2 - 9*a + 14. Suppose -4*q + 11*q - 84 = 0. Let s = q + 9. What is the remainder when o(11) is divided by s? 15 Let h(l) = 10*l**3 + 43*l**2 - 155*l. What is the remainder when h(4) is divided by 245? 218 Let u = 99 - 70. Let k be (45 - 3)/((-13)/(260/(-30))). Suppose -u*c + 15 = -k*c. What is the remainder when 41 is divided by c? 11 Suppose 3*o - o = 58. Let t = 15492 + -15482. What is the remainder when o is divided by t? 9 Suppose 40 - 176 = -3*b + 4*d, 5*b - 196 = -d. Suppose b = -l + 50. Suppose 0 = -9*w + l*w - 14. Calculate the remainder when 55 is divided by w. 13 Let h(m) = -2*m + 52. Let b be h(12). Suppose -b = -8*c + 4*c. Let l(s) = s**2 - 4*s - 7. Calculate the remainder when 109 is divided by l(c). 11 Suppose -5*w + 7 + 18 = 0. Suppose -4*t + 2*h - 3*h = -54, -t + 3*h + 20 = 0. What is the remainder when t is divided by 3/((1 - w) + (-385)/(-88))? 6 Let h(p) = -4*p - 35. Let m be h(-10). Suppose 4 = -m*l + 19. Suppose -c - 305 = -l*t, t + 3*t + 5*c - 432 = 0. What is the remainder when t is divided by 26? 25 Let r = -888 + 928. Calculate the remainder when 96 is divided by r. 16 Let w be ((-8)/(-10))/(-9 + 31986/3555). Let t = -284 - w. What is the remainder when 125 is divided by t? 29 Suppose 11*b + 6 = 9*b, -5*b - 59 = -z. Calculate the remainder when -1 + 1754/8 - z/176 is divided by 55. 53 Calculate the remainder when 51/(816/4928) - ((0 - -1) + -3) is divided by 152. 6 Let t be 16/(-28)*(-28)/8. Suppose 4*u - 114 = -t*u. Calculate the remainder when u is divided by 8. 3 Suppose -2*z - 3*z = -695. Calculate the remainder when z is divided by 11*(-6 + -60*17/(-102)). 7 Suppose 3*j - 147 = -2*a, -5*a = 101*j - 96*j - 360. What is the remainder when 2/(-5) + 1434/10 is divided by a? 5 Suppose -2*x - 1015 = -p, 4*p - 5394 = -4*x - 1370. What is the remainder when p
{ "pile_set_name": "DM Mathematics" }
= 114 + a. Suppose q**2 + 44 - h = 0. Calculate q. 0 Factor 2*j**2 + 6*j**4 - 11*j**4 - 16 + 8*j**2 + 11. -5*(j - 1)**2*(j + 1)**2 Factor -15/7*l**3 + 78/7*l**2 - 18/7 + 75/7*l. -3*(l - 6)*(l + 1)*(5*l - 1)/7 Solve 1008 + 4264*z - 34020*z**3 - 9689*z - 3119*z + 375*z**5 + 8799*z**4 + 26256*z**2 + 6126*z**4 = 0. -42, 2/5, 1 Let m(s) be the second derivative of -s**6/120 + s**5/10 - 3*s**4/8 + 27*s**2/8 + 3*s - 1. Factor m(t). -(t - 3)**3*(t + 1)/4 Let t be ((-1)/3)/(3 + 28/(-9)). Suppose 0*d - t*d = -4*f - 9, 2*d - f - 6 = 0. Factor -3/5*v + 0 - 9/5*v**4 - 21/5*v**3 - d*v**2. -3*v*(v + 1)**2*(3*v + 1)/5 Let k(m) be the first derivative of 8/3*m + 11 - 4/5*m**5 - 4/3*m**4 + 3*m**2 - 1/9*m**6 + 4/9*m**3. Suppose k(l) = 0. Calculate l. -4, -1, 1 Let o(m) be the third derivative of m**6/24 + 11*m**5/3 + 425*m**4/24 + 35*m**3 - 2*m**2 + 226*m. Solve o(n) = 0 for n. -42, -1 Let y(f) = -f**2 - 7*f. Let j be y(-7). Factor 16*k**2 + j*k**5 - 2 + k**5 + 4*k**4 + 4*k**3 - 5*k - 18*k**2. (k - 1)*(k + 1)**3*(k + 2) Suppose -2*a - 8 = -6*a. Let 7*o + 5*o**3 - 12*o + a*o**2 - 2*o**2 = 0. What is o? -1, 0, 1 Let 46/3 + 94/3*q + 4/3*q**2 = 0. Calculate q. -23, -1/2 Let s be 153/(-6)*-50 + 3. Suppose 2*k + s = 8*k. Find t such that 4*t**3 + t**2 + k + 3*t**2 - 211 - 7*t = 0. -2, 1/2 Let y be 34998/24444 + (-10)/35. Let c = y + 2/97. Solve -1/2*s**2 + c*s + 1 = 0 for s. -2/3, 3 Let y(n) be the first derivative of n**4 + 16*n**3/3 + 40. Factor y(w). 4*w**2*(w + 4) Let q(m) be the third derivative of -16/9*m**3 + 0 + 23/315*m**7 - 1/168*m**8 - 4/9*m**4 + 0*m - 39*m**2 - 16/45*m**6 + 4/5*m**5. Find d such that q(d) = 0. -1/3, 2 Let n(p) = -3*p**2 + 21*p + 29. Let u(o) = -2*o**2 + 20*o + 26. Let i(y) = 4*n(y) - 5*u(y). Suppose i(q) = 0. Calculate q. -7, -1 Let y(d) = -d**2 - 12*d + 33. Let u be y(-14). Suppose -n**2 + 8 + u*n**2 + 5*n**2 + 32*n + 5*n**2 = 0. What is n? -2, -2/7 Let h(g) = -g + 10. Let w be h(8). Let t(f) = -108*f**3 - f**2 - 2*f - 1. Let i be t(-1). Determine m, given that -m**2 - w - i*m + 104*m - m**2 = 0. -1 Let c(z) = 2*z**2 - 4*z - 3. Let u(v) = 3*v**2 - 7*v - 5. Let b(k) = -5*c(k) + 3*u(k). Let f(p) = -3*p**2 - 3*p. Let i(a) = 17*b(a) - 6*f(a). Factor i(j). j*(j + 1) Let o(r) = 2*r**2 + 8*r - 10. Let u(m) = -2*m**2 - 9*m + 11. Let b be (-9)/(-12)*-2*10/(-3). Let s(x) = b*o(x) + 4*u(x). Factor s(c). 2*(c - 1)*(c + 3) Suppose -i - 5*z + 24 + 4 = 0, -2*i - 5*z + 36 = 0. Suppose -i*n = -3*n - 15. Factor -1/3 - r - 1/3*r**n - r**2. -(r + 1)**3/3 Let x(i) be the first derivative of i**5/30 - i**4/3 + 23*i**3/18 - 7*i**2/3 + 2*i - 89. Factor x(y). (y - 3)*(y - 2)**2*(y - 1)/6 Suppose -1 = -3*k + 2. Let x(i) = -i**5 - i**3 - i**2 + i + 1. Let m(b) = -2*b**5 - 4*b**4 - 7*b**3 - b**2 + 4*b + 5. Let n(d) = k*m(d) - 5*x(d). Factor n(g). g*(g - 1)**2*(g + 1)*(3*g - 1) Let o(h) be the first derivative of h**6/15 + 2*h**5/25 - h**4/5 - 4*h**3/15 + h**2/5 + 2*h/5 - 280. Suppose o(a) = 0. Calculate a. -1, 1 Let h = 99963/25 - 3998. Let f = h + -3/25. Suppose f*m**3 + 0*m + 0 + 0*m**2 = 0. What is m? 0 Let h(m) be the second derivative of -18*m + 0*m**6 - 5/6*m**3 + 0 + 0*m**4 + 1/2*m**5 + 0*m**2 - 5/42*m**7. Find s, given that h(s) = 0. -1, 0, 1 Let v(r) be the second derivative of r**6/75 + r**5/5 + 3*r**4/10 - 35*r. Factor v(s). 2*s**2*(s + 1)*(s + 9)/5 Let c(r) be the first derivative of r**4/20 + 116*r**3/15 + 3477*r**2/10 + 6498*r/5 + 447. Factor c(w). (w + 2)*(w + 57)**2/5 Let z(p) be the second derivative of p**6/6 + 5*p**5/2 + 40*p**4/3 + 95*p**3/3 + 75*p**2/2 + 9*p + 17. Factor z(o). 5*(o + 1)**2*(o + 3)*(o + 5) Let i = -3299 + 3299. Factor -2/7 + 2/7*u**2 + i*u. 2*(u - 1)*(u + 1)/7 Let n(k) be the third derivative of k**5/30 + k**4/12 - k**3/3 - 5*k**2. Let l be n(-2). Let -19*i**2 + l*i + 21*i**2 - i = 0. What is i? -1/2, 0 Let j be ((-294)/(-48))/(6 + (-66)/12). What is y in -j - 1/4*y**2 + 7/2*y = 0? 7 Suppose -12*o + 22 = -2. Let y be ((-16)/6)/(o/(-3)). Factor -2/11*p**5 + 0*p**3 + 4/11*p**y + 0 + 2/11*p - 4/11*p**2. -2*p*(p - 1)**3*(p + 1)/11 Let j be 3/(6 + (-5 - -2)) - -1. Suppose -6*f + 3*f = -2*m, -j*m = -5*f. Determine a so that 0 - 1/2*a**2 - 1/2*a**3 + f*a + 1/2*a**4 + 1/2*a**5 = 0. -1, 0, 1 Let v(x) = x**2 + x. Let n be v(3). Solve 27*c**3 - 4*c**4 - n + c**4 - 3*c**2 - 36*c**2 - 9*c**3 + 36*c = 0. 1, 2 Let z(c) = -10*c**2 - 85*c - 559. Let f(s) = -5*s**2 - 3. Let d(n) = 3*f(n) - z(n). What is r in d(r) = 0? -5, 22 Let u = -61 + 947/15. Let i(k) be the first derivative of 11/5*k**2 + u*k**3 + 7/10*k**4 - 3 + 4/5*k. Suppose i(v) = 0. What is v? -1, -2/7 Let p = 184101/2104 + -1/2104. Determine n so that -45/2 + 455/2*n**3 + p*n**4 + 165/4*n + 45/4*n**5 + 215*n**2 = 0. -3, -1, 2/9 Let c(f) be the second derivative of 0 - 1/8*f**5 + 0*f**4 - 1/24*f**6 + 0*f**2 - f + 0*f**3 + 5/168*f**7. Factor c(k). 5*k**3*(k - 2)*(k + 1)/4 Let j = 146 + -376. Let c be j/(-70) - 2/7. Solve -21*n**2 + 6*n + 3*n**c + 15*n - 27 + 24*n = 0. 1, 3 Factor 17*q**3 - 3*q**4 - 99*q**2 + 85*q + 24*q**2 + 8*q**4 - 2*q**3 - 30. 5*(q - 1)**3*(q + 6) Let g(y) be the second derivative of -y**7/5040 - y**6/360 + y**5/48 - 5*y**4/6 - 7*y. Let l(o) be the third derivative of g(o). Factor l(v). -(v - 1)*(v + 5)/2 Let p be ((-3)/(-2)*-2)/(-2 - -1). Factor 4*d**2 - 2*d + d**2 + 228*d**4 + 5*d**p - 233*d**4 - 3*d. -5*d*(d - 1)**2*(d + 1) Suppose 635 - 627 = 4*s. Find v, given that -18/11*v**4 + 72/11 - 42*v**3 + 54/11*v**5 + 384/11*v + 354/11*v**s = 0. -3, -1/3, 2 Suppose 3*q + 25 = 2*v, q = 2*q + v. Let g = 0 - q. Factor 41*j**2 + 0*j**3 + 8 - j**2 + g*j**3 + 20*j**5 - 36*j - 48*j**4 + 11*j**3. 4*(j - 1)**3*(j + 1)*(5*j - 2) Suppose -26*k - 16*k**2 - 4*k**3 + 0*k**3 + 49*k - 39*k = 0. Calculate k. -2, 0 Factor -2*w**2 + 66*w + w**3 - 6 - w**2 - 67*w + 9*w**2. (w - 1)*(w + 1)*(w + 6) Let d(o) be the first derivative of -o**3 + 3*o**2 + 0*o - 3/4*o**4 + 8. Factor d(l). -3*l*(l - 1)*(l + 2) Let l(k) be the third derivative of 0 + 0*k**3 + 0*k - 25*k**2 - 1/70*k**7 - 1/336*k**8 + 1/20*k**5 + 1/12*k**4 - 1/120*k**6. What is d in l(d) = 0? -2, -1, 0, 1 Let k be (-90)/(-12)*(-2)/(-3). Suppose -2*p + 25 = 5*b, -28 + 3 = 4*p - k*b. Factor -1/3*z**3 - 2/3*z**2 + 1/3*z**4 + p*z + 0. z**2*(z - 2)*(z + 1)/3 Let w(a) be the first derivative of 5*a**6/12 - 2*a**5 + 25*a**4/8 - 5*a**3/3 - 26. Suppose w(h) = 0. Calculate h. 0, 1, 2 Let r = -19409/15 + 1294. Let z(a) be the second derivative of a + 0 + 1/90*a**6 + 1/12*a**4 - 2/3*a**2 + 2/9*a**3 - r*a**5. Determine q, given that z(q) = 0. -1, 1, 2 Let r = 298 + -136. Let n = -159 + r. Determine p, given that 2/5*p**4 + 0*p - 2/5*p**2 + 0*p**n + 0 = 0. -1, 0, 1 Let q be 496/(-48) + (-5 - -16). Let 14/3*c**3 + 1/3*c**5 - 2*c**4 - 16/3*c**2 - q + 3*c = 0. What is c? 1, 2 Let a(y) be the first derivative of 21*y**5/20 + 3*y**4 + 3*y**3/2 - 3*y**2 + 11*y - 6. Let s(t) be the first derivative of a(t). Let s(z) = 0. Calculate z. -1, 2/7 Let w(r) = -45*r**4 + 25*r**3 + 60*r**2 - 20*r - 20. Let t(f) = 67*f**4 - 37*f**3 - 89*f**2 + 29*f + 30. Let q(z) = -5*t(z) - 8*w(z). Factor q(m). 5*(m - 1)**2*(m + 1)*(5*m + 2) Let v(j) be the third derivative of 0*j**4 - 1/450*j**5 + 0 + 0*j**3 - 2*j**2 + 1/1575*j**7 + 0*j + 0*j**6. Let v(s) = 0. Calculate s. -1, 0, 1 Let y(w) be the first derivative of 1/12*w**3 - 5/8*w**2 + 1/16*w**4 + 19 + 3/4*w. Solve y(b) = 0. -3, 1 Let u(h) be the first derivative of -6*h + 2/3*h**3 + 1/6*h**4 + 4 + 0*h**2 - 1/10*h**5. Let p(t) be the first derivative of u(t). Factor p(q). -2*q*(q - 2)*(q + 1) Let p(s) = -66*s**2 - 4986*s + 4863. Let j(t) = -5*t**2 - 383*t + 374. Let v(n) = 27*j(n) - 2*p(n). Factor v(w). -3*(w - 1)*(w + 124) Factor 3/4 + 0*y + 0*y**3 + 3/4*y**4 - 3/2*y**2. 3*(y - 1)**2*(y + 1)**2/4 Let q(j) be the second derivative of 0 + 2/3*j**4 - 1/10*j**5 + 1/3*j**3 - 17*j - 4*j**2. Factor q(x). -2*(x - 4)*(x - 1)*(x + 1) Let v(p) be the first derivative of 2*p**6 + 8*p**5 + 7*p**4 - 16*p**3/3 - 8*p**2 - 106. Solve v(f) = 0. -2, -1, 0, 2/3 Suppose 555*j - 548*j = 28. Let h(z) be the second derivative of -1/24*z**j - 1/6*z**3 + z**2 + 1/80*z**5 + 0 - z. Factor h(c). (c - 2)**2*(c + 2)/4 Let x(r) = 26*r**2 - 34*r + 128. Let g(o) = -3*o**2 + o - 2. Let j(t) = -10*g(t) - x(t). Factor j(k). 4*(k - 3)*(k + 9) Let h(v) be the s
{ "pile_set_name": "DM Mathematics" }
- 28. Let q be y(v). What is the remainder when (0 - -3) + (106 - q) is divided by 10? 7 Suppose 12 = -w + 2*w. Let b(m) = -4*m**3 - 314*m**2 + 800*m - 188. What is the remainder when b(-81) is divided by w? 10 Suppose -d - 100 = -r - 4*d, 5*r - 5*d = 520. Suppose -r - 17 = -3*s. Calculate the remainder when s is divided by 21. 19 Let v(d) = -1. Let n(c) = c + 1. Let h(a) = 1. Let w(z) = 28*h(z) + 4*n(z). Let u(g) = 5*v(g) - w(g). What is the remainder when 92 is divided by u(-17)? 30 Let z(d) = d**3 + 4*d**2 - 3*d - 1. Let i = 223 + -240. Calculate the remainder when 6*(-4 + i/(-2)) is divided by z(-4). 5 Let i(r) = 2*r - 5. Let b be i(5). Suppose 72 = 2*t - 4*m, 60 = 2*t + b*m - 12. What is the remainder when 106 is divided by t? 34 Suppose 0 = 3*z - 8*z + 35. Let r(b) = 2*b + 75. Suppose -5*a + 2*l - 129 = 0, 2*a + 51 = -l + 3. What is the remainder when r(a) is divided by z? 4 Let r(y) = 430*y**3 + 5*y - 5. Let j be r(1). Let m = -402 + j. Calculate the remainder when 278 is divided by m. 26 Suppose -252*x + 7595 = 1547. Let c(y) = y**3 + 4*y**2 - 3*y - 2. What is the remainder when c(3) is divided by x? 4 Let i(k) = 41*k**3 + 92*k**2 - 187*k - 3. What is the remainder when i(2) is divided by 43? 18 Let g(z) = -z. Calculate the remainder when ((-126)/(-7))/(80/520) is divided by g(-4). 1 Suppose y - 2*v - 60 = 0, -7*y + 122 = -5*y - 3*v. What is the remainder when y is divided by -2 + (3/3 - -26)? 14 Let o(b) = -b**3 + 41*b**2 + 94*b - 48. Let s(a) = 11*a**2 + 20*a - 41. Let g be s(2). What is the remainder when o(g) is divided by (-3 - 0)*23/(-3)? 20 Suppose 4*n - 2 = 2*v, -5*n = -4*v + 3*v - 7. Suppose 8*h = v*h + 65. Suppose 52 = h*o - 9*o. Calculate the remainder when 62 is divided by o. 10 Calculate the remainder when 68 is divided by (-5 - 22/(-14))/(6/(-84 + 0)). 20 Let x = -6165 + 8684. Calculate the remainder when x is divided by 21. 20 What is the remainder when 74 is divided by 231/9 + -4 + (-30)/45? 11 Suppose 250*t - 452*t = -3636. What is the remainder when 2138 is divided by t? 14 Let r(k) = k**3 + 7*k**2 - k - 3. Calculate the remainder when r(-6) is divided by 22/(-2992)*-34*4*30. 9 Suppose -65*h + 70*h = 15. Suppose 2 + h = 2*f - i, -30 = -4*f - 2*i. What is the remainder when f is divided by -6*20/(-15) - 3? 0 Let q(n) = -n**3 - 16*n**2 - 20*n - 24. Let w be q(-14). Let b = 161 + w. Calculate the remainder when b is divided by 19. 6 Let a(g) = 7*g**2 - 74*g + 34. Calculate the remainder when a(12) is divided by 127. 27 Let w = 343 - 296. Suppose -2*o + 181 = w. Calculate the remainder when o is divided by 25. 17 Suppose 19 = -5*y - h, 0 = 3*y - 5*y + 3*h + 6. Let b(p) = -p**3 - 3*p**2 - 2*p + 16. What is the remainder when 258 is divided by b(y)? 16 Let q be 26516/336 - 1/(-12). Suppose -q*t = -76*t + v - 415, -2*t + 284 = -3*v. Calculate the remainder when t is divided by 36 + (-1)/((-1)/(-1)). 34 Suppose 2*x - 529 = -3*q, -x - 13*q + 11*q = -267. What is the remainder when 396 is divided by x? 139 Let k = -16 - -20. Suppose -5*s = -5*n + 90, 6*s = k*n + s - 69. Suppose -33 = -3*m + n. Calculate the remainder when 50 is divided by m. 14 Calculate the remainder when 1/5 - (-2 + 218850/(-125)) is divided by 16. 9 Let n = 1632 + -1625. What is the remainder when 209 is divided by n? 6 Let b be 9 - (-2 + -3040)/6. Suppose -384 = -25*l + b. Let z(g) = -10*g - 1. What is the remainder when l is divided by z(-2)? 17 Suppose 10*r = 5*r + 560. What is the remainder when r is divided by (22 + -18)/(-4) - -54? 6 Let f(y) = 7410*y - 37048. Calculate the remainder when 1 + -2 - -1 - -17 is divided by f(5). 1 Let o(p) = -154*p + 2385. What is the remainder when o(14) is divided by 50? 29 Let w = -820 + 814. What is the remainder when 87 is divided by (2/4 + 9/w)*-47? 40 Suppose 101*o - 15069 - 10193 - 24531 = 0. What is the remainder when o is divided by 156? 25 Suppose -1197 + 13697 = 50*k. Calculate the remainder when 4747 is divided by k. 247 What is the remainder when 555 is divided by (64 + -8 + 0)*(-24)/(-7)? 171 Let t(n) = n**2 + 2*n - 3. Let h be t(2). Suppose 8*p + h = 9*p. Calculate the remainder when (1/(-1) - -2) + p is divided by 3. 0 Let a(b) be the third derivative of -14*b**2 + 1/6*b**4 + 7/3*b**3 - 1/120*b**6 - 1/15*b**5 + 0*b + 0. What is the remainder when a(-5) is divided by 11? 8 Let s be 5/(10/(-14)) + 0. Let g(r) = -4*r - 16. Let j be g(s). Suppose -j = -2*x - x. What is the remainder when 15 is divided by x? 3 What is the remainder when 858 is divided by 10 + 0 - -37*(2 - -1)? 11 Let l(b) be the third derivative of 1/120*b**6 - 1/60*b**5 - 5/6*b**3 + 0*b + 1/8*b**4 + 0 - 17*b**2. What is the remainder when 17 is divided by l(2)? 2 Let o(d) = d**2 + 8*d - 52. Let q be -9 + 0 + -2 + -3. Suppose -12*a + 11*a + 157 = 0. Calculate the remainder when a is divided by o(q). 29 What is the remainder when (4/6)/((-35)/(-124740)*22) is divided by 95? 13 Let l be 113 + 11 + 1 + -2. Let c(j) = -j**3 + 9*j**2 - 4*j - 4. Calculate the remainder when c(8) is divided by ((-12)/15)/(2 - l/60). 12 Calculate the remainder when (-23545)/(-40) - ((-15)/10*2)/8 is divided by 118. 117 Let h(k) = 164*k + 6. Let i(z) = 246*z + 9. Let u(f) = -7*h(f) + 5*i(f). Let l = 32912 + -32909. Calculate the remainder when u(l) is divided by 28. 25 Calculate the remainder when (-8530)/(-16) + 199/(-1592) is divided by 125. 33 Let b(q) = -q**2 + 10*q - 6. Let m be b(9). Let g = 90 - 85. Suppose -m*t - w = -4*w - 9, g*w = 0. Calculate the remainder when 11 is divided by t. 2 Suppose 13*t - 252 = -83. What is the remainder when t is divided by 4? 1 Suppose -119 = -x + w, -352 = -3*x + 4*w + 3. Suppose 5*f - x = 44. What is the remainder when 128 is divided by f? 29 Suppose 3*s - 4*s = -13. What is the remainder when s is divided by ((-132)/(-18))/((-6)/(-9))? 2 Suppose -74*r + 21021 + 138779 = 20*r. What is the remainder when r is divided by 37? 35 Suppose -10*t = d - 2728, -d - 2*t + 1421 = -1323. What is the remainder when d is divided by 131? 128 Suppose -58*h + 4*u + 2002 = -56*h, -1037 = -h + 4*u. Suppose -240 = -5*p + 4*c, -193 + 22 = -4*p - c. What is the remainder when h is divided by p? 41 Let d(w) = -31*w - 1. What is the remainder when d(-3) is divided by (10 - (-50)/30)*(-13)/(130/(-12))? 8 Let c = -11268 + 11352. Calculate the remainder when 104 is divided by c. 20 Let o(p) = -352*p + 3556. What is the remainder when 2083 is divided by o(10)? 31 What is the remainder when (573 + -7)*((-14)/7 + 3) is divided by 39? 20 Suppose -164 = 3*z - 4*f, -f - 3 + 2 = 0. Let u = -1 - z. Calculate the remainder when 163 is divided by u. 53 What is the remainder when 127 is divided by 12/9*(39 + -30)? 7 Suppose 66 = 5*i - 3*o - 204, 300 = 5*i + 3*o. Suppose 6*s - i = 51. Suppose -4*a = -190 + s. What is the remainder when a is divided by 24? 19 Let x = -3500 + 3664. What is the remainder when x is divided by 80? 4 Suppose -2*i + 4*i - 34 = -2*v, v + 3 = 0. Suppose -i*n - 1192 = -28*n. What is the remainder when n is divided by 22? 17 Suppose -766 = -32*o + 98. Suppose 0 = 6*x - 801 + 405. What is the remainder when x is divided by o? 12 Let k(p) = -p**3 + 20*p**2 - 130*p + 1347. Calculate the remainder when 2409 is divided by k(17). 1 What is the remainder when 5837 is divided by -21 - (-40 + 189/(-9))? 37 Suppose -24*j + 35541 = 9*j - 0*j. What is the remainder when j is divided by 16? 5 Suppose -24*q + 9837 = -11307. What is the remainder when q is divided by 299? 283 Suppose -16 = -4*f, 8*d - 5*d + 5*f = -28. Let k = -3 - d. Calculate the remainder when 21 is divided by k. 8 Let v = -699 + 1212. What is the remainder when v is divided by 12? 9 Suppose 7*v - 6*v - 2*n - 48 = 0, 4*n = 0. Calculate the remainder when (v/(-1 + 0))/(54/(-27)) is divided by 14. 10 Calculate the remainder when 1138 is divided by ((-2)/(-7))/((-2774)/1022) + 2415/19. 122 Let o = 2399 - 2390. Calculate the remainder when 18448 is divided by o. 7 Suppose -448*s + 462*s = 126. Calculate the remainder when 42 is divided by s. 6 Let p = 231 + -106. What is the remainder when 1871 is divided by p? 121 Let n = 36 + -8. Suppose 5*v - 55 = 5*t, -10*t = 3*v - 15*t - 43. Calculate the remainder when n is divided by ((-75)/10 + v)/((-2)/8). 4 Suppose -3*d = l - 1435, -18*l + 2*d =
{ "pile_set_name": "DM Mathematics" }
is the closest to -0.056? (a) 3 (b) 0.3 (c) -17 (d) 1/3 (e) -0.5 b What is the closest to -28 in 2/7, -0.5, 43, 16, -1/3? -0.5 What is the nearest to -1/3 in -5, -331, 0.5, -8, 0? 0 What is the nearest to -7 in 0.3, 2, -2.3, 6, -2/9? -2.3 What is the nearest to -6/5 in 0.2, -1, 117, -2, -6? -1 Which is the closest to 0.5? (a) 4 (b) 0.7 (c) -0.3 (d) 9.3 (e) 2 b What is the closest to -1/3 in 3, 3/5, 17/3, -4, 0.4? 0.4 What is the closest to 0.1 in -15, 0.2, -0.5, 84, 1/6? 1/6 What is the closest to 0.4 in 288, 4, -3? -3 Which is the closest to 886? (a) -1/5 (b) -5 (c) -221 a Which is the closest to 0? (a) 138/5 (b) 275 (c) -0.3 c Which is the nearest to 160? (a) -6/7 (b) 15 (c) -5 (d) 2 b Which is the nearest to -1/4? (a) 77 (b) -8 (c) 5 (d) 8 (e) -1 e Which is the nearest to 0.1? (a) 313 (b) -2/19 (c) 8 b What is the closest to 379 in 1/4, -0.08, -2/7, 1/3? 1/3 What is the nearest to -0.1 in -1596/29, 4, 18? 4 What is the nearest to -14742 in -4, 3/4, -1/6? -4 What is the closest to 0.9 in -20, 0.4, -16, -1/2? 0.4 What is the closest to 0 in -0.2, -4187, -1, -0.5? -0.2 What is the nearest to 2 in -2, 3, -5, 0.3, 0.023? 3 Which is the closest to 0? (a) -10 (b) -0.7 (c) -7 (d) -4 (e) -3 b What is the nearest to 1/6 in -1, 27, 2/11? 2/11 Which is the nearest to 58.6? (a) 0.5 (b) 1/6 (c) -0.061 (d) 0 a What is the nearest to 0.2 in -1/15, 650, -3, 5? -1/15 What is the closest to 2/5 in 0.1, -38, -0.076? 0.1 What is the closest to -2 in -1/253, -0.1, -16/21, -2? -2 Which is the closest to -0.1? (a) -4/3 (b) 3306 (c) -5 a Which is the nearest to -36/82127? (a) -2/5 (b) 2/9 (c) 3/2 b What is the closest to 0.04 in -1191, -1.1, 4/9? 4/9 What is the closest to -1/2 in 0.3, -0.07, 5, 76? -0.07 Which is the nearest to -19? (a) -209 (b) 2/103 (c) -1/2 (d) -4 d Which is the closest to 3/2? (a) 1/13 (b) 3/4 (c) -1/2 (d) 0.4 (e) -2 b What is the nearest to 10 in 6/17, 8, -2/13, 10, -0.4? 10 What is the closest to 990 in 2, -5, 16/3? 16/3 Which is the closest to -2/7? (a) 4 (b) 2 (c) 432 b Which is the nearest to 1/3? (a) -63.7 (b) 0.27 (c) -0.5 b Which is the closest to -1? (a) -3 (b) -5 (c) 10661 a What is the closest to 1.59 in 5, -0.5, -2/15, -4/7? -2/15 What is the nearest to 9.82 in 2, 0.035, 1? 2 What is the closest to 18 in -115, -5, -0.24? -0.24 Which is the nearest to -2? (a) 46 (b) 0.056 (c) -0.1 c What is the nearest to -309 in 5, 0.13, -5? -5 What is the nearest to -4 in 1, 3, 4? 1 Which is the nearest to -1? (a) -1/4 (b) 2 (c) -19/35 (d) 25 c Which is the nearest to 2/3? (a) 36 (b) -21/5 (c) 2/7 (d) -1/4 c What is the closest to -2/5 in 4653, -7, 2/3, 0.4? 0.4 Which is the nearest to 0.109? (a) 1/2 (b) 1 (c) -6/131 c What is the nearest to -0.1 in -1/2, -0.1, 3/3244, -1.4? -0.1 What is the nearest to 1 in -1, 2/13, -0.014, 0.1? 2/13 Which is the nearest to 6? (a) -39.4 (b) 11 (c) -6 (d) -5 b What is the closest to -0.1 in -0.38, 0, 0.4, 7/4, -3? 0 Which is the closest to -2/5? (a) 450 (b) -2 (c) 0.092 (d) 3/8 c Which is the closest to 3/25? (a) -8 (b) -2/13 (c) 0 c Which is the nearest to -37? (a) -2 (b) -5 (c) 0 (d) 118 b Which is the closest to 5/4? (a) 7 (b) 4 (c) 0.3 (d) 1 (e) -0.5 d Which is the closest to -50? (a) -1 (b) -5 (c) -4 (d) 1/4 b What is the nearest to -0.1 in -4/3, 204, -1/7, 18? -1/7 Which is the closest to -4/15? (a) 4/7 (b) 2/9 (c) -3 (d) 0.2 (e) 7 d What is the closest to -4 in -1/8, 4, -1, -30? -1 Which is the nearest to -5? (a) 3/7 (b) -2 (c) 93 (d) 5 b What is the closest to 6.7 in -3, -2/47, 4, 2/7? 4 What is the nearest to -0.1 in -0.5, -18, -4/17? -4/17 What is the nearest to -7 in 3, -2, 2, -0.61? -2 Which is the closest to 2? (a) 41 (b) 0.5 (c) -4 (d) -5 b What is the nearest to 0 in -1, -952, -0.2, 2? -0.2 What is the closest to -3/4 in -0.04, 1, -0.1231, 4? -0.1231 What is the closest to 2 in 103, 37/2, -5? -5 What is the closest to 0.1 in 11/29, 13, -0.1, 7? -0.1 Which is the closest to -0.3? (a) 0.02 (b) 2/11 (c) -84 (d) 3/4 a Which is the closest to 0? (a) 3 (b) 22 (c) -7293 a What is the closest to -0.047 in 92, -2, 1/4? 1/4 Which is the closest to -2? (a) -175 (b) 5 (c) -0.078 c Which is the nearest to -1.95? (a) 0 (b) 0.005 (c) -2 c Which is the closest to -2/3? (a) -103 (b) -2/129 (c) -1/4 (d) 1 c What is the closest to -3/5 in -0.06, 529, -2/11? -2/11 What is the closest to 0.1 in 1/2, 35, -0.041, 1/8? 1/8 What is the nearest to -10 in 39, 0, 1? 0 What is the closest to -4 in -3/23, -0.07, 2, 3, 0? -3/23 What is the nearest to -0.1 in 3, -11, -17, -0.3? -0.3 What is the closest to 1 in 1309, -3/7, 0.1? 0.1 Which is the closest to 0.379? (a) 1/7 (b) -4/7 (c) 0.4 (d) -0.03 c What is the nearest to 32 in 1, -5/31, 3/4? 1 Which is the closest to -1? (a) 1 (b) -4 (c) -111 (d) -0.1 d What is the closest to 44 in 4, 0.2, -0.1, -3? 4 Which is the closest to 2/11? (a) 0 (b) -0.1 (c) 2 (d) -0.02 a What is the closest to -8 in -5, 2/11, 113/4, 2, 3? -5 What is the nearest to 0.3 in -0.2, -16599, 4, 5, -5? -0.2 What is the nearest to 0 in 158/7, -5, -0.4, -6/11? -0.4 What is the closest to -10/3 in -91, 0, -17? 0 What is the closest to 1/7 in -90, 2, -1/2, 1/12? 1/12 Which is the nearest to 1/23? (a) -2/9 (b) 2 (c) -0.118 c What is the closest to 8421 in -5/6, -4/3, 4, 1/3, 2? 4 Which is the closest to 2? (a) 6 (b) -3/5 (c) -3/4 (d) 13.8 b What is the nearest to 3 in -7/101, -4, -0.5? -7/101 Which is the closest to -2? (a) 4 (b) 40711 (c) -0.5 (d) -2/19 c What is the nearest to 3 in -38/7, -4, 4, 0.2, -34? 4 What is the nearest to -1/634 in 3, -0.03, 0.1, -5? -0.03 Which is the nearest to 0? (a) 2/161 (b) -2/5 (c) 0 (d) 0.1 c What is the closest to -283 in -0.4, 3, 17, 1/2, -4? -4 Which is the nearest to -2/7? (a) 11 (b) -0.0171 (c) 5 (d) 2/39 (e) -5 b Which is the nearest to 0? (a) -5 (b) -16 (c) -0.05 (d) -36 (e) 3 c Which is the closest to -0.1? (a) 0.06 (b) 10 (c) -996 a Which is the nearest to -112? (a) 1 (b) 353 (c) -0.1 (d) 2/13 (e) 1/5 c What is the nearest to -0.1 in 90, 0.1, -2, 113? 0.1 Which is the nearest to 4? (a) 1/332 (b) 1/6 (c) -3 b Which is the closest to 2/3? (a) 634 (b) 0.9 (c) -4/3 b Which is the nearest to 1/2? (a) 0.2 (b) -0.0218 (c) 0.11 (d) 4 a What is the nearest to -0.1 in -3104.9, -1/2, 1/2? -1/2 What is the closest to -156 in 1/11, 4, 4425? 1/11 What is the closest to 4/11 in 0.06, 0.02, 0.1, 1? 0.1 Which is the nearest to -0.4? (a) 0.1 (b) -12 (c) -279 a Which is the closest to 1.2? (a) 208 (b) 7 (c) 1/2 (d) 0 c Which is the closest to -6/467? (a) -2 (b) 0.3 (c) 7 b What is the nearest to 3 in -6/7, 1, -2/209, -2? 1 What is the closest to -4 in 3/7, 0.19, -2, 0.6, 6.8? -2 What is the nearest to 87 in -25/4, 3/98, 0? 3/98 What is the nearest to 0.01 in -1, 31, -5, -2? -1 What is the closest to -2/9 in -2, -0.08, -319, -6/11? -0.08 Which is the nearest to 0.38? (a) -0.039 (b) -0.3 (c) 2/9 c Which is the closest to -1? (a) 2 (b) 876 (c) -5 (d) -1/5 d Which is the nearest to 8? (a) -0.5 (b) 4 (c) 0.2 (d) -3.1 (e) 0 b What is the closest to 0.8 in 4, 1, 1/3, -0.5? 1 What is the nearest to -1 in 4, -2, -1/37463, 4/3? -1/37463 What is the nearest to 602 in 5, -4/5, 1, 4? 5 Which is the closest to 1? (a) 0 (b) -1.1 (c) 0.12 (d) -5 c Which is the nearest to 30/13? (a) 3 (b) 4/5 (c) -0.8 a Which is the nearest to 18? (a) 2/5 (b) 1 (c) -44 (d) -0.1 b Which is the closest to -5? (a) 0 (b) -5/6 (c) 16.221 (d) -1 (e) -2/3 d Which is the nearest to 1/4? (a) -1 (b) 5 (c) -0.4 (d) 105 c Which is the closest to -2/3? (a) -4 (b) 0.51 (c) 1 b Which is the nearest to 4.3? (a) -1.3 (b) 0.3 (c) -5 (d) 2 d What is the closest to 1/2 in -20, -16, -3, 1.2, 0.12? 0.12 Which is the nearest to 0.3? (a) -46 (b) 0.1 (c) -5 b What is the closest to -2/7 in 1/4, -1/7, -2, 5, 61? -1/7 What is the closest to 36 in 5/4, -29, -4, -1, -0.42? 5/4 What is the nearest to 188 in 0, 2/15, 3/4, 0.2? 3/4 What is the nearest to -0.8 in 2/11, -0.17, 1? -0.17 Which is the nearest to 0? (a) -97 (b) -2/11 (c) 24 (d) 0 d Which is the closest to 2/11? (a) 118/3 (b) 1 (c) 0.04 (d) -0.3 c Which
{ "pile_set_name": "DM Mathematics" }