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**2 - 1719203*x? -24*x**2 - 102828*x + 10 Find the third derivative of 13305*l**3*r**3*s + 2*l**3*r**2 - 3*l**3*r*s**2 - l**3*s + 3*l**2*r*s**2 + 1413*l*r**2*s - 23*r**3*s**2 + s wrt r. 79830*l**3*s - 138*s**2 Differentiate -3057859*j + 1272458 with respect to j. -3057859 What is the second derivative of -76*x**2*y**2 - 30783*x**2*y + 2*x**2 - 77*x*y**2 wrt y? -152*x**2 - 154*x What is the third derivative of 5510*g*v**3 + 2*g*v**2 + 3*g*v - 165*v**2 + 1 wrt v? 33060*g What is the first derivative of 1743423*v**2 - 1355373? 3486846*v Differentiate -17*l*o*z + l*o + 355*l*z - 6*l + o*z**2 - 89*o - 3 wrt z. -17*l*o + 355*l + 2*o*z What is the third derivative of -6458035*p**4 + 335*p**2 + 11*p + 22 wrt p? -154992840*p What is the second derivative of -7248*l**3 + 9281*l - 4? -43488*l What is the second derivative of -2*r**5 - 31587*r**2 - 239*r + 16? -40*r**3 - 63174 Find the second derivative of 32*i**4 + 2*i**3 - 174*i**2 - 281316*i. 384*i**2 + 12*i - 348 What is the second derivative of -652*t**3*v**2 + t**3*v + 3*t**3 + 14*t*v**4 - 1500*v wrt v? -1304*t**3 + 168*t*v**2 What is the first derivative of -3008851*n - 5714002 wrt n? -3008851 What is the first derivative of 2894*m**2 - 17*m - 166095 wrt m? 5788*m - 17 Find the second derivative of 92*h**3*r**2 + 7*h**3*r - h**3 + 44*h**2 + 70*h*r**3 + h*r wrt r. 184*h**3 + 420*h*r Differentiate -1776869*m*n + 356*m + 1639 with respect to n. -1776869*m What is the first derivative of -6382*j - 13909 wrt j? -6382 What is the third derivative of -1975*y**4 + y**3 + 1066007*y**2? -47400*y + 6 Find the third derivative of 2408*z**5 + 438*z**4 - 3627811*z**2 wrt z. 144480*z**2 + 10512*z What is the third derivative of 31306*r**6 - 81774*r**2 + 2? 3756720*r**3 What is the second derivative of -12*d*o**4 + 73*d*o**2 - 36*d - 15*o - 22 wrt o? -144*d*o**2 + 146*d What is the second derivative of 1442*k**4 + 3*k**3 + 4*k**2 - 28419*k wrt k? 17304*k**2 + 18*k + 8 Find the first derivative of -2*s*y**3 + 2462*s + 2124066*y**4 - 513 wrt y. -6*s*y**2 + 8496264*y**3 Differentiate 31531*c + 378846 wrt c. 31531 Find the third derivative of 9*b**3*l - 4890*b**3 + 27*b**2*l - 76*b*l wrt b. 54*l - 29340 Find the second derivative of 919254*l**2 + 20*l - 784 wrt l. 1838508 Find the second derivative of -402899*o**2 - 273254*o. -805798 Find the second derivative of -8*b**3*u**4 - 4*b**3*u + b**2 + 52*b + 20664*u**4 - 3*u + 10 wrt u. -96*b**3*u**2 + 247968*u**2 Find the second derivative of -23884*w**2 + 818135*w wrt w. -47768 What is the derivative of 167438*v**4 - 1136357 wrt v? 669752*v**3 What is the second derivative of -2384*i**5 - 19*i**4 + 7*i**3 + 20087*i - 74? -47680*i**3 - 228*i**2 + 42*i Differentiate -3*v**3 - 15*v**2 + 738*v - 84471. -9*v**2 - 30*v + 738 Find the second derivative of a**4 - 34415*a**2 + 619700*a wrt a. 12*a**2 - 68830 What is the third derivative of -6*l*z**4 + 5*l*z**3 - 2*l*z**2 - 2004495*l*z - 13*z**4 - 238*z**3 wrt z? -144*l*z + 30*l - 312*z - 1428 What is the third derivative of 1110713*n**3 + 9537*n**2 + 25*n wrt n? 6664278 Find the third derivative of -64*p**5 - 4*p**4 - 30*p**3 - 43937*p**2. -3840*p**2 - 96*p - 180 Differentiate -85*x**2 + 652*x - 279167 with respect to x. -170*x + 652 What is the third derivative of r**3*z**6 + r**3*z**2 - 22*r**3*z + 36157*r*z**6 + 7*r*z - 2*r wrt z? 120*r**3*z**3 + 4338840*r*z**3 Find the second derivative of -3*f**2*i**2 + f**2*i - 2*f**2 - 4236*f*i + 16232*i**2 + 2*i wrt i. -6*f**2 + 32464 What is the first derivative of 3*j**3 - 6*j**2 - 358*j + 8145 wrt j? 9*j**2 - 12*j - 358 Find the second derivative of 73051*w**2 + 59124*w. 146102 What is the derivative of 46370*y + 72012 wrt y? 46370 Find the second derivative of -1866*k**3 + 410*k**2 + 478800*k wrt k. -11196*k + 820 What is the derivative of -1830863*g**2 - 3694639 wrt g? -3661726*g What is the second derivative of 89734*l**5 + 757*l + 10? 1794680*l**3 Differentiate 41*k**2 - 1483*k - 623059 with respect to k. 82*k - 1483 Find the second derivative of 70804*b**2*r**2 + 2*b**2*r - b**2 - b*r**2 - 4*b*r - 3*r**2 + 6*r - 23 wrt r. 141608*b**2 - 2*b - 6 What is the third derivative of -10*b*y**4 + 64195*b*y**2 + 10083*y**5 wrt y? -240*b*y + 604980*y**2 What is the second derivative of 6*b**3*c**2 + 2*b**3*c + 71*b**3 + 4*b**2*c - 400*b*c**2 - c**2 + 14*c wrt c? 12*b**3 - 800*b - 2 What is the derivative of 4*o**2*q - 2*o*q + 20320*o - 3453451*q wrt o? 8*o*q - 2*q + 20320 Find the first derivative of 34*d**4 - 187*d**3*v + 2*d**3 - 7*v + 1813 wrt d. 136*d**3 - 561*d**2*v + 6*d**2 What is the first derivative of 16*c**3 - 713*c**2 + c + 24966? 48*c**2 - 1426*c + 1 What is the second derivative of 1662774*t**2 + 542*t - 663 wrt t? 3325548 What is the derivative of -1454*l**2 + 6*l - 162682 wrt l? -2908*l + 6 Find the second derivative of -265912*a**2 + 34106*a - 2 wrt a. -531824 What is the third derivative of 147478*w**4 + w**2 - 9913*w - 1? 3539472*w What is the second derivative of 7*b**3*d**2 + 2*b**3*d + 158*b**3 + 2*b**2*d + 253*d**3 + 6*d**2 + 45*d wrt d? 14*b**3 + 1518*d + 12 Differentiate 23*r**3*y + 27525*r**3 - 18*r**2*y - r*y with respect to y. 23*r**3 - 18*r**2 - r What is the derivative of -110766*h**3 - 972? -332298*h**2 What is the first derivative of 635*g*w**2 + 110*g*w + 589*w**2 + 2*w + 4 wrt g? 635*w**2 + 110*w Find the second derivative of -12002*o**3*y**2 + o**3*y - 2*o**3 + 2*o**2 - o*y - 4562*o wrt y. -24004*o**3 Find the third derivative of 11*k**5*l**2 + 31544*k**4*p**3 + 8*k**2*l**2*p**2 - 11*k**2*l**2*p - k*l**2*p**3 - 3*k*l**2*p**2 - 276*p**3 wrt k. 660*k**2*l**2 + 757056*k*p**3 What is the third derivative of 237*p**4*r - 3*p**4 + 107*p**2*r + 8*r wrt p? 5688*p*r - 72*p Differentiate 96712*d**2 - 74277 wrt d. 193424*d What is the third derivative of -51613*f**3 + 202*f**2 + 25? -309678 What is the first derivative of -14*z**4 + 5*z**3 + 2*z**2 - 268*z + 469013? -56*z**3 + 15*z**2 + 4*z - 268 What is the first derivative of -6*a**2*f*l**2 + 2*a**2*f*x + 32*a**2*l**3 - 2*a*l**3*x - 6436*f*l*x + 22*f wrt x? 2*a**2*f - 2*a*l**3 - 6436*f*l What is the third derivative of -7291*d**3*s**3*u**3 - 2*d**3*u**2 - 575*d**2*s**3*u + 7*d**2 - 2*d*u**3 wrt d? -43746*s**3*u**3 - 12*u**2 What is the second derivative of -15142*c**2 - 4*c + 1471? -30284 What is the second derivative of 10*n**2*w*x**3 - 37*n**2*w*x**2 + 1455*n*x**3 - n*x**2 + 9*w*x wrt n? 20*w*x**3 - 74*w*x**2 What is the first derivative of d**3*s**2 - d**2 - d*s - 61193*d - 390263*s**2 wrt d? 3*d**2*s**2 - 2*d - s - 61193 What is the derivative of 398150*v**2 + 659195 wrt v? 796300*v Find the first derivative of 2*a*p**2 + 19860*a*p + 2*a + 1386927*p**2 wrt a. 2*p**2 + 19860*p + 2 Find the third derivative of 820*d**3*f**3 - 27*d**3*f**2 + 36*d**3*f*s + 19*d**2*f**2*s - 2*d*f**3*s - 223*f**4*s - s - 2 wrt f. 4920*d**3 - 12*d*s - 5352*f*s What is the first derivative of 26254*a**2 + 55996? 52508*a Find the first derivative of -577533*q + 3857281. -577533 Find the second derivative of -29251*c**4*d + 4*c**2*d + 15*c*d - 7*c + d + 1 wrt c. -351012*c**2*d + 8*d Differentiate -852*p**2*r**2 + 16*p**2 + 33546*r**2 - 13 with respect to p. -1704*p*r**2 + 32*p What is the derivative of -46758*f**3*o - 6*f*o*z + 2*o*z + 21901*o + z wrt f? -140274*f**2*o - 6*o*z Find the third derivative of -224*d*i**3 - 48*d + 61*i**3 + 249*i**2 wrt i. -1344*d + 366 What is the second derivative of 101904*f**2 + 33315*f? 203808 Find the second derivative of 2*m**5 - 881*m**2 + 711*m - 10 wrt m. 40*m**3 - 1762 Find the third derivative of 156980*z**4 + 2*z**2 - 88091*z + 2. 3767520*z Find the second derivative of 95973*p**4 - 49*p - 158. 1151676*p**2 Differentiate -43861*v - 300817 wrt v. -43861 Differentiate 77345*g**3*q**2 + 551*g**3 + 11*g**2*q + 115*g**2 wrt q. 154690*g**3*q + 11*g**2 What is the first derivative of -12*l**4 - 74*l**3 - 3*l**2 - 56*l + 3023100? -48*l**3 - 222*l**2 - 6*l - 56 What is the second derivative of -4*a**2*o*r + 15*a**2*o + 716*a**2 - a*o*r - 15*a*o - 32*o*r + o - 4*r wrt a? -8*o*r + 30*o + 1432 What is the second derivative of f**3*l**2 - 860647*f**2*l + 40*f*l**2 + 772*f - 2*l**2 - 7*l + 2 wrt f? 6*f*l**2 - 1721294*l What is the second derivative of f**2*p**3*x**2 - 11780*f**2*p**3 - 3*f*p**3*x**2 + 8*f*p
{ "pile_set_name": "DM Mathematics" }
x. 0 Solve -31*c = -2*c + 5*c for c. 0 Solve -50*v + 32 = -42*v for v. 4 Solve -4*b = -3*b + 1 for b. -1 Solve -52 = -35*f - 17 for f. 1 Solve -1 = h - 5 for h. 4 Solve -5*t + 23 = -2 for t. 5 Solve 0*n + 4*n - 16 = 0 for n. 4 Solve 13*w - 25*w + 12 = 0 for w. 1 Solve -9*u - 29 = 20*u for u. -1 Solve -2*z - 16 = -10 for z. -3 Solve 0 = 1720*u - 1724*u + 36 for u. 9 Solve 10 = 89*w - 79*w for w. 1 Solve 6*m - 43 = -73 for m. -5 Solve -416*s + 10 = -421*s for s. -2 Solve -14 = 4*q + 2 for q. -4 Solve 0 = -37*c + 17 + 57 for c. 2 Solve -11*t + 1 = 12 for t. -1 Solve -80*p + 196 = 18*p for p. 2 Solve -16*f - 112 = 12*f for f. -4 Solve -63 = -2*w - 67 for w. -2 Solve 37*b = -246 + 24 for b. -6 Solve 6*l = 1647 - 1659 for l. -2 Solve 0 = -23*c + 26*c + 18 for c. -6 Solve 11*z + 22 = -0 for z. -2 Solve -2*b = -11*b for b. 0 Solve -38*f = -62*f for f. 0 Solve 3891*x = 3887*x + 20 for x. 5 Solve -278*w + 287*w + 9 = 0 for w. -1 Solve 24 = t + 20 for t. 4 Solve 0 = 7*d + 17*d - 6*d for d. 0 Solve 25*f - 99 = -274 for f. -7 Solve 2*z - 41 = -33 for z. 4 Solve 23*y - 22*y - 2 = 0 for y. 2 Solve -41*i + 6 + 240 = 0 for i. 6 Solve 7*q - 325 = -297 for q. 4 Solve 0*f = 2*f + 2 for f. -1 Solve -11*b - 5 = -82 for b. 7 Solve 30*k + 28 + 32 = 0 for k. -2 Solve -j + 12 = -7*j for j. -2 Solve -k - 2*k = 12 for k. -4 Solve 3*i + 6 = -6 for i. -4 Solve -7 = -7*v + 8*v for v. -7 Solve -5324 = -4*m - 5364 for m. -10 Solve -304 = 2*b - 300 for b. -2 Solve -1415*t + 5 = -1414*t for t. 5 Solve -4*i - 13 = -1 for i. -3 Solve -656*m = -657*m - 8 for m. -8 Solve 0*n = -4*n - 16 for n. -4 Solve -208*t + 56*t = 1064 for t. -7 Solve -26*o = -189 + 33 for o. 6 Solve 0 = -10*t + 4*t - 6 for t. -1 Solve 20*y = -38 - 22 for y. -3 Solve -2012*k = -2021*k for k. 0 Solve -37*w - 12 = -25*w for w. -1 Solve -5*t + 14 = -11 for t. 5 Solve -6*j - 737 = -773 for j. 6 Solve -3*u = -2*u - 2 for u. 2 Solve -6*f - 25 = -13 for f. -2 Solve 5*a = -0*a + 20 for a. 4 Solve l + 186 = -30*l for l. -6 Solve 41 = 2*t + 35 for t. 3 Solve 7*k - 4 = 3*k for k. 1 Solve -3*a - 20 + 5 = 0 for a. -5 Solve -10*j + 8*j = 0 for j. 0 Solve 5*c = -15 - 10 for c. -5 Solve 242*w = 223*w + 114 for w. 6 Solve 41 - 176 = -27*g for g. 5 Solve 7*j - 8 - 20 = 0 for j. 4 Solve 10*a = -5*a + 45 for a. 3 Solve -241 - 43 = -142*r for r. 2 Solve -29*i - 72 = -41*i for i. 6 Solve 2*t = 2*t - 2*t for t. 0 Solve -3 + 5 = i for i. 2 Solve 10 - 1 = 3*a for a. 3 Solve 74*w - 364 = 22*w for w. 7 Solve 0 = -5*r + 15*r for r. 0 Solve -16*x + 266 = 266 for x. 0 Solve 0 = 21*v - 5*v - 32 for v. 2 Solve -7*y + 2 = -19 for y. 3 Solve 0 = 2*h + 5*h for h. 0 Solve 61*t + 138 + 350 = 0 for t. -8 Solve 3*a + 22 = 7 for a. -5 Solve 0 = 21*q + 29 - 92 for q. 3 Solve 23*p - 161 = -69 for p. 4 Solve -2*f = -10*f + 32 for f. 4 Solve -6 = -s - s for s. 3 Solve 57*n = -32*n - 445 for n. -5 Solve -13*t - 16*t + 261 = 0 for t. 9 Solve -20 - 132 = 19*l for l. -8 Solve 0 = 5*u - 7 - 18 for u. 5 Solve -6*x + 43*x = -x for x. 0 Solve 7 = l + 2 for l. 5 Solve u = 8*u - 28 for u. 4 Solve -7*u - 10 = 4 for u. -2 Solve -2 = 4*q - 10 for q. 2 Solve -4 = -2*f + 4 for f. 4 Solve -28 - 36 = -16*o for o. 4 Solve 0 = 2*p + 3 + 5 for p. -4 Solve 3*a - 31*a + 112 = 0 for a. 4 Solve 9*f - 50 = 19*f for f. -5 Solve -5 = 5*i + 15 for i. -4 Solve 0 = -46*u - 27*u + 584 for u. 8 Solve 6*b - 21 = 21 for b. 7 Solve -f - 53 + 57 = 0 for f. 4 Solve -4*a + 3*a = 2 for a. -2 Solve -28 = -f - 26 for f. 2 Solve -23*t - 4 - 42 = 0 for t. -2 Solve 9*t - 1644 = -1608 for t. 4 Solve -14*z + 18*z - 8 = 0 for z. 2 Solve 200 - 191 = -9*n for n. -1 Solve -3*u + u = 6*u for u. 0 Solve -5*n + 24 = 34 for n. -2 Solve 21 = 7*b + 56 for b. -5 Solve 49*j - 43*j = -42 for j. -7 Solve -72 = -16*c + 8 for c. 5 Solve -2013*b - 4 = -2014*b for b. 4 Solve -70 = 2*t + 33*t for t. -2 Solve -206*z = -210*z - 4 for z. -1 Solve -29*l + 40*l + 22 = 0 for l. -2 Solve 479 = 7*k + 493 for k. -2 Solve 24*j + 26 - 2 = 0 for j. -1 Solve 0*z - 2*z = -2 for z. 1 Solve -91 = -24*k + 11*k for k. 7 Solve 12*b - 25 = -121 for b. -8 Solve -333 = -92*b + 219 for b. 6 Solve 0*p + 25 = -5*p for p. -5 Solve 5*c = c for c. 0 Solve -2*m + 9 = -5*m for m. -3 Solve -5*m - 189 + 179 = 0 for m. -2 Solve -36*u = -4*u for u. 0 Solve -u + 10 = 12 for u. -2 Solve -42*m = -45*m - 12 for m. -4 Solve -665*z + 659*z = -30 for z. 5 Solve -16*q + 4*q - 7*q = 0 for q. 0 Solve 331*d = 337*d + 36 for d. -6 Solve 55*f + 34*f + 178 = 0 for f. -2 Solve -45 + 241 = -98*j for j. -2 Solve 7*n = 203 - 161 for n. 6 Solve 0 = 6*z + 1 + 17 for z. -3 Solve 0 = 3*m + 3*m - 12 for m. 2 Solve 3 = -8*u + 27 for u. 3 Solve -19*w - 13*w = -160 for w. 5 Solve 0 = -11*u + 6*u + 10 for u. 2 Solve -389*v + 20 = -384*v for v. 4 Solve 5*z + 16 = 9*z for z. 4 Solve 0 = -55*m + 39*m - 96 for m. -6 Solve -66 = -19*y + 8*y for y. 6 Solve -24*t - 56 = 64 for t. -5 Solve 0 = 6*m - 64 + 40 for m. 4 Solve 0 = -176*c + 187*c - 44 for c. 4 Solve 11*w + 34 = -10 for w. -4 Solve 18*m - 28 = 11*m for m. 4 Solve 68 - 55 = -13*k for k. -1 Solve 43*m + 5 = 44*m for m. 5 Solve 11*t = 10*t + 5 for t. 5 Solve -255 = 9*a - 228 for a. -3 Solve -11 = -9*o + 25 for o. 4 Solve 19*n - 8 = 17*n for n. 4 Solve 325 = -6*q + 349 for q. 4 Solve 8*o + 1 + 7 = 0 for o. -1 Solve 0 = -26*p + 8*p for p. 0 Solve 2*q = -3*q for q. 0 Solve -15*r + 1221 - 1206 = 0 for r. 1 Solve -81*b - 6 = -83*b for b. 3 Solve -39 + 23 = 4*b for b. -4 Solve 7*k - 50 = 17*k for k. -5 Solve 4*w + 45 = 49 for w. 1 Solve 143*a - 30 = 149*a for a. -5 Solve 7*d - 324 = -359 for d. -5 Solve 28*x - 3*x - 25 = 0 for x. 1 Solve 71*t = 132*t + 183 for t. -3 Solve 3 = 9*q + 12 for q. -1 Solve 0 = 6*a - 2*a - 8 for a. 2 Solve -35*q + 85 + 55 = 0 for q. 4 Solve 113 = 68*p - 23 for p. 2 Solve 6*w = 663 - 615 for w. 8 Solve 192 = 38*v + 78 for v. 3 Solve -41*c - 276 + 71 = 0 for c. -5 Solve 18*d - 6 = 12 for d. 1 Solve -57*u = 23 - 194 for u. 3 Solve 0 = -16*l - 50*l + 330 for l. 5 Solve 18*h = 77 + 13 for h. 5 Solve -139 + 123 = -16*v for v. 1 Solve 630 = 13*m + 643 for m. -1 Solve -535 = 10*j + 97*j for j. -5 Solve 3*m + 14 = 2 for m. -4 Solve 2*o = 9*o + 28 for o. -4 Solve 30*w + 150 = -0*w for w. -5 Solve 0 = 169*i - 189*i for i. 0 Solve 7*z + 103 = 117 for z. 2 Solve 0 = -33*l - 31 - 2 for l. -1 Solve 0 = 2*b - 30 + 16 for b. 7 Solve 283 - 187 = 16*z for z. 6 Solve 31*u - 24*u = -56 for u. -8 Solve -5*d = -20*d for d. 0 Solve 35 = -4*p + 11*p for p. 5 Solve -7*d + 7 = -0*d for d. 1 Solve -165 = -50*w - 15 for w. 3 Solve -336*f - 14 = -329*f for f. -2 Solve -261 = -243*i + 272*i for i. -9 Solve 0 = 116*w - 135*w + 76 for w. 4 Solve -8 = 2*a - 0*a for a. -4 Solve 16*z + 0 = -48 for z. -3 Solve -16*g + 18*g = -23*g for g. 0 Solve -439 + 22 = -139*b for b. 3 Solve -76*v - 80 = -4 for v. -1 Solve -19*s = -29*s + 110 for s. 11 Solve 2*w + 34*w = -23*w for w. 0 Solve 22*d + 16 = 30*d for d. 2 Solve 2*c + 98 = 106 for c. 4 Solve 97 = -64*x - 351 for x. -7 Solve 14*p = 37*p - 69 for p. 3 Solve 20*k = 22*k + 12 for k. -6 Solve 0 = -17*w + 4*w - 104 for w. -8 Solve 4*q + 3 + 5 = 0 for q. -2 Solve 0 = 560*b - 556*b + 8 for b. -2 Solve 72*z - 56 = 80*z for z. -7 Solve -16 = 17*t - 13*t for t. -4 Solve -51*i = -46*i for i. 0 Solve 2699*n = 2702*n - 15 for n. 5 Solve -33*n - 319 = -121 for n. -6 Solve -16*z - 29 + 109 = 0 for z. 5 Solve -9*f = -23 - 13 for f. 4 Solve 2*i - 5*i + 9 = 0 for i. 3 Solve -7*f = -4*f - 9 for f. 3 Solve 0 = -87*v + 77*v for v. 0 Solve -5*x + 8*x + 2*x = 0 for x. 0 Solve -13*h + 225 = 121 for h. 8 Solve q - 3 = -0*q for q. 3 Solve 0 = 7*f - 10*f - 12 for f. -4 Solve -4 = -27*x + 25*x for x. 2 Solve 0 = -19*n + 78 - 21 for n. 3 Solve 5 = -4*g - g for g. -1 Solve -4*w = 5*w + 27 for w. -3 Solve 0 = -6*p + 4*p + 6 for p. 3 Solve -350 = -8*m - 334 for m. 2 Solve 2*o - 4 = 6 for o. 5 Solve 0 = 26*i - 24*i for i. 0 Solve 16*d = 21*d + 20 for d. -4 Solve 6*s - 3*s = -0*s for s. 0 Solve 18 - 6 = 4*w for w. 3 Solve 8*l = -33 + 9 for l. -3 Solve 5*r + 338 - 318 = 0 for r. -4 Solve -5*u + 0*u = -25 for u. 5 Solve 0 = -5*d + 98 - 108 for d. -2 Solve 49*d + 23 = -75 for d. -2 Solve 5*u - 4*u + 1 = 0 for u. -1 Solve 0 = 70*u - 346 - 284 for u. 9 Solve 0 = -5*t - 0*t + 20 for t. 4 Solve -30 = 58*a - 68*a for a. 3 Solve -185
{ "pile_set_name": "DM Mathematics" }
c be 4 + -2 + -2 + 2. Suppose -a - 4*x - 12 = 0, 0 = c*a + 2*x - 5*x - 31. Let m be 12/(-2)*(31/(-6) - -5). Sort a, 2, m. m, 2, a Suppose 5*c + 10 - 5 = 5*r, 4*r = -3*c - 31. Sort -2, c, 7. c, -2, 7 Suppose -8 = -3*y - 4*d + 12, -3*y + 5*d + 2 = 0. Let x = -1 + 3. Sort -5, x, y in decreasing order. y, x, -5 Suppose -38*p + 34*p = -12. Let j = -39 + 75/2. Sort 0.1, 5, j, p in descending order. 5, p, 0.1, j Let a(z) = -20*z + 6. Let c(y) = -y + 15. Let i be c(17). Let g be a(i). Suppose -43*w + g*w = -6. Sort -1, -5, w in decreasing order. -1, w, -5 Let c = 6 + -11. Suppose 3*f - 32 = -5*m, -2*f + 4 + 29 = 5*m. Sort c, m, -4 in descending order. m, -4, c Let u = 81 + -77. Suppose 0 = w - 4*z + 10, -u*w + z - 40 = -z. Put 1, w, 3 in ascending order. w, 1, 3 Suppose 5*a = 2*a. Let f(r) = r**2 - 15*r + 40. Let v be f(3). Put -0.2, a, -5, v in increasing order. -5, -0.2, a, v Let a be 3/3 - (-15 + 2). Let u = a + -11. Suppose 2*g - 3*k = -0*k + 5, -u*g = 4*k + 18. Sort 5, g, -1. g, -1, 5 Suppose -s + u - 12 = 0, -2*u = -s - 3*u - 8. Suppose -8*c + 5*c = -4*k + 18, 0 = 3*c - 5*k + 21. Let f be (s/(-15))/(c/3). Sort 1, f, -2 in descending order. 1, f, -2 Suppose n + 5*c + 5 = 0, -2*n + 4*c = n + 15. Sort 0.4, n, 5, 1/6 in ascending order. n, 1/6, 0.4, 5 Let h = -478 + 511.3. Let a = h - 33. Let t = -4.92 - 0.08. Put -3, t, a in descending order. a, -3, t Let z be 0 - -4*(-7)/28. Let p(t) = t**3 - 11*t**2 + 11*t - 7. Let h(i) = i**3 + i. Let f be h(2). Let c be p(f). Sort 5, z, c. z, c, 5 Let d = -8.96 - -4.96. Sort -0.06, -0.3, d, 0.3 in decreasing order. 0.3, -0.06, -0.3, d Let x be 9/21 - 2900/70. Sort -3, 5, x in increasing order. x, -3, 5 Let w(c) = -2*c**3 + 4*c**2 + c - 1. Let m be w(-1). Sort 39, m, -4 in decreasing order. 39, m, -4 Suppose -10 = -3*m + 5*s + 6, -s + 8 = m. Suppose -m = -5*z - 2*w, -3*w + 1 = -4*z + 2. Put -0.1, z, 0.4 in descending order. z, 0.4, -0.1 Let k = 255 - 244. Sort -3, -0.5, k in decreasing order. k, -0.5, -3 Let s be ((-5)/3)/(-1)*3. Let h(y) = y**2 + 3*y - 2. Let u be h(-3). Suppose -19*a + 6 = -21*a. Put a, u, s in descending order. s, u, a Let j = 19.75 + -19.35. Put j, -4/7, -0.446 in increasing order. -4/7, -0.446, j Suppose -3*u - 39 = 10*u. Let d(y) = -y**2 - 6*y + 6. Let l be d(-7). Put u, l, 2 in ascending order. u, l, 2 Let s = 7.15 - 0.15. Let o = s + -6.9. Let u = -110 + 114. Sort 0.2, o, u in descending order. u, 0.2, o Let s = -0.052 - -8.052. Let a = s - 8.3. Put -4, a, 0.1, 3 in descending order. 3, 0.1, a, -4 Let k be 3 + 2/(-7 - 588/(-92)). Sort -0.1, k, -73 in decreasing order. -0.1, k, -73 Suppose -2*w = 4*k - 8, -3 - 4 = -3*w - 5*k. Put w, -2, -3 in decreasing order. -2, -3, w Let q be (-12)/(-16)*8*((0 - -3) + -2). Let r be 2/(-4)*1*2. Let w be 3*(-8)/(-6)*r. Sort -5, q, w in descending order. q, w, -5 Let j(x) = 2*x - 6. Let i be j(4). Let q = 1.74 + -0.14. Let c = q - 1.2. Sort -2, c, i in decreasing order. i, c, -2 Let u = 175.1 - 175. Let a = -4.6 - -5. Sort a, 0.08, 0.2, u in descending order. a, 0.2, u, 0.08 Suppose -6 = 9*k - 15*k. Sort k, 4, -82, -4 in increasing order. -82, -4, k, 4 Suppose 2 = 2*u - 4. Suppose 26*v + 97 = -215. Sort v, 2, 0, u in increasing order. v, 0, 2, u Let i = 1 + 5. Let c be 22/18 + i/(-27). Let d = 12 + -14. Put d, 4, c in increasing order. d, c, 4 Suppose -2*s + 135 = s. Let n be ((-5)/3)/(5/s*3). Put 4, 34, 1, n in decreasing order. 34, 4, 1, n Suppose 0 = -24*x + 15*x + 18. Sort x, -2, 11 in ascending order. -2, x, 11 Let h = -71 - -59. Let d = -12 - h. Sort 5, -4, d, -1 in ascending order. -4, -1, d, 5 Let g be (0/4)/(2 + 0). Put 4, g, -12 in descending order. 4, g, -12 Let q be (-371)/84 - (-6)/(-18). Put -2, 0.3, q in increasing order. q, -2, 0.3 Let d = 480 + -476. Let w = -9.8 - -4.6. Let x = 5 + w. Sort -4/7, x, d in descending order. d, x, -4/7 Let n = 524.3 + -524. Put n, -0.1, 8, -0.2 in increasing order. -0.2, -0.1, n, 8 Suppose 4*d - 59 = -4*x - 7, -x - 2*d = -14. Let j be (12/8)/(9/x). Let t(r) = -2*r + 2. Let n be t(j). Put 5, 4, n in descending order. 5, 4, n Suppose 3*m - 4 = 50. Let b be (m + -8)*4/(-10). Put -11, b, -3 in descending order. -3, b, -11 Let t = 30 - 27. Let u be 4/(-6)*t - -4. Suppose -3*f = -2*b - 19, 2*b = -0*b - 4. Put f, -0.5, u in decreasing order. f, u, -0.5 Let y(r) = -r + 1. Let b(x) = -7*x + 11. Let i(j) = -b(j) + 6*y(j). Let a be i(0). Put a, -2, 3 in descending order. 3, -2, a Let a = 8 - 7.7. Let v = -194.1 - -193.6. Put 0.5, a, v, -1 in ascending order. -1, v, a, 0.5 Let f = -0.12 - 52.88. Let d = -55.99 - f. Let o = 0.01 - d. Sort -5, o, -0.2 in descending order. o, -0.2, -5 Let t = 0.4 - 0.8. Let q = 10 - 7. Let a(c) = 3*c + 16. Let k be a(-4). Put t, q, k in ascending order. t, q, k Let m(n) = -59*n - 523. Let d be m(-9). Suppose 0 = 5*h + 4*r + 8, 3*h - 5*h - r = 2. Sort -5, h, d. -5, h, d Suppose -2*j - 20 = -24. Suppose j*g - 5*g - 15 = 0. Put g, 1, -1 in decreasing order. 1, -1, g Suppose 5*i - 6*i = -16. Suppose 4*q = -0*q + i. Sort -1, q, 2 in ascending order. -1, 2, q Let u be (-24)/(-36) - 17/30. Let t = u + -9/40. Let x = 5 - 4.6. Sort t, 9, x in ascending order. t, x, 9 Suppose 4*k = -u - 18, -3*k - u - u = 11. Let f = k + 0. Sort 0, f, 4 in decreasing order. 4, 0, f Let l = 15 + -16. Suppose -2*s + 27 = 7. Suppose s = 2*q + 6*x - 2*x, 4*q + 5*x - 5 = 0. Sort l, q, -7 in ascending order. -7, q, l Let t = -312 - -310. Suppose -4*s + 2*s = -5*k + 33, -k + 17 = -3*s. Sort t, k, 1, -5 in decreasing order. k, 1, t, -5 Suppose 2*v + 9 = 3*m, 10 = -2*v + 5*m - 1. Let i(y) = -y - 3. Let c be i(v). Put 3, c, 2, -2 in descending order. 3, 2, c, -2 Let u = 0 + 4. Let q = -47 - -28. Let y = q + 20. Sort y, -1, u in increasing order. -1, y, u Let x(t) be the second derivative of -t**3/3 - t**2 - 15*t. Let h be x(0). Let i be 5 - -1*(1 - 0). Sort 4, i, h in descending order. i, 4, h Let u = 1 + 0. Let t = 0.8 + -23.8. Let s = 18 + t. Put u, s, -3 in increasing order. s, -3, u Let o be (-5)/3 - 130/(-78). Sort 1.2, -4, -0.4, o in ascending order. -4, -0.4, o, 1.2 Let l(m) = m**3 + 8*m**2. Let u be l(-8). Suppose 7*f - 11*f - 12 = u. Let i = 5.89 + -5.9. Put f, i, -3/2 in decreasing order. i, -3/2, f Suppose 0 = -g - 4*j + 8, j - 1 + 0 = 0. Suppose 0 = -3*v - 2*u - 14, 5*v + 16*u = 21*u - 15. Sort -5, g, v in decreasing order. g, v, -5 Let f(a) = -12*a - 63. Let p be f(-5). Let z(c) = c**3 - 3*c**2 - 5*c + 8. Let j be z(4). Put p, -27, j in descending order. j, p, -27 Let y = 589 - 584. Sort y, -243, -1 in decreasing order. y, -1, -243 Suppose 20*d + 147 = 17*d. Sort -6, d, -1. d, -6, -1 Let d = 29 - 29.4. Sort d, -14, 1, -0.2 in ascending order. -14, d, -0.2, 1 Suppose -1 = -c + 4*b, -4*c - 4*b + 88 = b. Sort -5, c, 0.3 in descending order. c, 0.3, -5 Let i = 10.722 + 0.278. Put -0.2, 1/2, i, -1/8 in descending order. i, 1/2, -1/8, -0.2 Let u be 5 + 5/(-140)*124. Put -5, 1, -6/11, u in descending order. 1, u, -6/11, -5 Let o = -479 - -482. Sort 0.5, 0.1, o, 11 in decreasing order. 11, o, 0.5, 0.1 Let r = -0.78 + -1.22. Let w = -0.13 + -7.87. Let q = 7.7 + w. Put r, 2/5, q in ascending order. r, q, 2/5 Let g = -5.069 - -0.069. Let k = -66 - -65.26. Let m = k - -0.24. Sort g, m, 0.5 in descending order. 0.5, m, g Let l = -1196 - -1195.6. Suppose -w + 2 = -g - 4*w, 2*w = 5*g + 61. Put g, -1, l in increasing order. g, -1, l Let p = -165.5 + 170.5. Sort -5, -3, 82, p in descending order. 82, p, -3, -5 Let z be (-156)/(-30) - (-3)/(-15). Sort -3, z, 0 in decreasing order. z, 0, -3 Suppose -4*q = -q - 3. Let r(l) = 5*l**2 - 18*l - 6. Let s be r(4). Sort s, 0, q in ascending order. 0, q, s Let s = 3 + -7. Let r be (s/6)/((-6)/(-36)). Let l(o) = -o**3 - 5*o**2 - 5*o - 5. Let p be l(-4). Put r, p, 5 in decreasing order. 5, p, r Let o = -1.69 + -1.43. Let g = -0.12 - o. Sort 0, g, 0.4 in decreasing order. g, 0.4, 0 Let g be (812/(-8))/(-7)*(41 + -43). Put g, 3, 5, 12 in descending order. 12, 5, 3, g Let k = -4.6 + 0. Let w = -31.6 - k. Let i = -25 - w. Sort i, 4, -2. -2, i, 4 Let x = -1149 + 1147. Let w = -3 - -4. Put x, -5, w in ascending order. -5, x, w Let r = -381 - -403. Put 5, r, -1 in descending order. r, 5, -1 Let d(n) = n**2 - 2*n. Let c be d(3). Let i = 26 + -21. Suppose -i*p + 0 = -10. Sort -1, p, c. -1, p, c L
{ "pile_set_name": "DM Mathematics" }
nd 2295. 17 Calculate the greatest common divisor of 2472576 and 822. 822 What is the greatest common factor of 72305 and 5? 5 What is the greatest common factor of 14222 and 52? 26 What is the greatest common factor of 465836 and 1016? 508 What is the highest common divisor of 4687722 and 897? 897 What is the greatest common divisor of 11311542 and 1529? 1529 What is the greatest common factor of 3445 and 9010? 265 What is the greatest common factor of 973677 and 177? 177 What is the highest common factor of 50 and 32020? 10 Calculate the highest common factor of 4107 and 4144. 37 What is the greatest common divisor of 744 and 23994? 186 Calculate the greatest common factor of 51276 and 20. 4 Calculate the highest common factor of 1880 and 640. 40 Calculate the greatest common factor of 192 and 2904. 24 Calculate the greatest common divisor of 1264 and 468628. 316 Calculate the highest common factor of 11 and 561649. 11 What is the greatest common divisor of 6300 and 213500? 700 Calculate the greatest common divisor of 9424 and 7258. 38 Calculate the greatest common factor of 28578 and 66. 66 Calculate the highest common divisor of 34 and 2357594. 34 Calculate the greatest common divisor of 36077 and 215. 43 What is the highest common factor of 1226183 and 5593? 329 Calculate the highest common divisor of 272385 and 45. 45 What is the highest common divisor of 32185 and 85565? 785 What is the highest common factor of 232551 and 66? 33 What is the greatest common divisor of 10 and 144230? 10 What is the highest common factor of 587365 and 790? 395 Calculate the highest common divisor of 18991 and 21. 7 What is the greatest common factor of 451 and 87362? 11 What is the greatest common divisor of 23628 and 99? 33 Calculate the greatest common factor of 493 and 3393. 29 What is the greatest common divisor of 9605 and 1020? 85 What is the highest common divisor of 7537122 and 666? 666 What is the highest common factor of 4438 and 103342? 634 Calculate the highest common divisor of 170 and 941766. 34 Calculate the highest common factor of 252 and 9243948. 84 Calculate the highest common divisor of 95 and 8189. 19 What is the highest common divisor of 515069 and 58? 29 Calculate the highest common divisor of 32 and 2732096. 32 Calculate the greatest common divisor of 3260 and 1595444. 652 What is the greatest common divisor of 96 and 418272? 96 What is the highest common factor of 1862 and 127338? 38 What is the greatest common factor of 33022 and 319792? 1738 Calculate the greatest common divisor of 51 and 272. 17 What is the greatest common divisor of 241835 and 55? 55 What is the greatest common factor of 1911 and 147? 147 Calculate the highest common factor of 1840839 and 1274. 91 Calculate the highest common factor of 19035 and 3713. 47 Calculate the highest common factor of 28178 and 146. 146 Calculate the greatest common factor of 138 and 67137. 69 What is the highest common divisor of 177 and 8709639? 177 What is the highest common factor of 837 and 53010? 279 What is the greatest common divisor of 24 and 30? 6 What is the greatest common divisor of 400 and 2875? 25 Calculate the highest common divisor of 14490 and 85890. 210 Calculate the highest common factor of 195703 and 472. 59 What is the greatest common divisor of 4 and 382168? 4 What is the greatest common divisor of 189952 and 1272? 424 Calculate the highest common divisor of 2651 and 1067. 11 Calculate the highest common divisor of 53237 and 139. 139 What is the greatest common factor of 24 and 664184? 8 What is the highest common factor of 161 and 1337? 7 Calculate the highest common divisor of 7158 and 5051162. 2386 What is the highest common factor of 116392 and 264? 8 What is the greatest common divisor of 18816 and 768? 384 What is the highest common factor of 76500 and 748? 68 What is the greatest common divisor of 8376 and 348651? 1047 Calculate the highest common divisor of 127590 and 90. 30 What is the highest common divisor of 10 and 1224? 2 What is the highest common divisor of 386 and 182385? 193 What is the highest common factor of 135792 and 736? 368 What is the highest common divisor of 16 and 1082528? 16 What is the greatest common divisor of 486838 and 110? 22 Calculate the highest common divisor of 5394 and 957. 87 What is the highest common factor of 2804844 and 42? 42 Calculate the highest common factor of 40503 and 207. 69 What is the greatest common divisor of 72407 and 183? 61 Calculate the greatest common divisor of 56220 and 54. 6 What is the greatest common factor of 2560 and 104640? 320 What is the greatest common divisor of 182 and 2886? 26 What is the highest common divisor of 70 and 28354? 2 What is the greatest common divisor of 171400 and 2075? 25 What is the greatest common factor of 1279292 and 244? 244 Calculate the highest common divisor of 664 and 31125. 83 Calculate the greatest common factor of 2025 and 107280. 45 What is the greatest common factor of 196419 and 233? 233 Calculate the highest common divisor of 11584 and 1664. 64 Calculate the greatest common factor of 112 and 1813. 7 What is the greatest common factor of 57564 and 4674? 246 Calculate the highest common factor of 708 and 564. 12 Calculate the greatest common factor of 87618 and 153. 51 Calculate the highest common divisor of 648 and 182448. 72 Calculate the greatest common divisor of 1856 and 704. 64 Calculate the greatest common divisor of 37200 and 384. 48 What is the greatest common divisor of 149322 and 114? 6 What is the highest common factor of 858 and 550368? 78 Calculate the greatest common factor of 1070 and 1960240. 1070 What is the greatest common factor of 24 and 292848? 24 Calculate the highest common factor of 5680 and 2150. 10 Calculate the highest common factor of 236 and 15399. 59 What is the greatest common divisor of 8544 and 636? 12 What is the greatest common factor of 399 and 157605? 399 What is the highest common divisor of 1242 and 3294? 54 Calculate the greatest common divisor of 447 and 5939736. 447 Calculate the greatest common factor of 1071 and 3897. 9 What is the highest common factor of 1904 and 4964? 68 Calculate the greatest common divisor of 32 and 13472. 32 Calculate the highest common factor of 1290626 and 6. 2 Calculate the greatest common divisor of 525030 and 407. 407 What is the greatest common divisor of 2412 and 294? 6 What is the greatest common factor of 33 and 832? 1 What is the highest common divisor of 697 and 318488? 41 What is the highest common factor of 149 and 219179? 149 What is the highest common factor of 36 and 69696? 36 What is the greatest common divisor of 2244 and 4148? 68 Calculate the greatest common factor of 1265 and 14789. 23 What is the greatest common factor of 717873 and 96928? 3029 Calculate the greatest common divisor of 664 and 320. 8 Calculate the greatest common divisor of 204056 and 184. 184 What is the greatest common divisor of 756685 and 5? 5 Calculate the highest common divisor of 18 and 948978. 18 What is the highest common divisor of 249 and 7627036? 83 What is the greatest common divisor of 69 and 94093? 23 What is the greatest common factor of 1526 and 154? 14 Calculate the greatest common divisor of 244920 and 24. 24 Calculate the highest common divisor of 3 and 2708. 1 What is the highest common factor of 964761 and 84? 21 What is the highest common divisor of 43155 and 455? 35 Calculate the highest common divisor of 1484008 and 16. 8 What is the greatest common factor of 1782 and 9153? 81 Calculate the highest common divisor of 68148 and 396. 36 Calculate the highest common factor of 195 and 54535. 65 What is the greatest common divisor of 4067 and 216713? 581 What is the highest common divisor of 6656 and 67072? 512 Calculate the greatest common factor of 183816 and 46. 46 Calculate the highest common factor of 80371 and 33226. 449 What is the highest common factor of 23307 and 2873? 17 What is the highest common factor of 418015 and 104? 13 Calculate the greatest common factor of 1199 and 20928. 109 What is the highest common factor of 132462 and 1694? 22 What is the greatest common factor of 21 and 225127? 7 What is the greatest common divisor of 647860 and 3132? 116 What is the highes
{ "pile_set_name": "DM Mathematics" }
= -373 - -552. What are the prime factors of y? 179 Let m(f) = 5*f - 4. Let y be m(8). Suppose 2*c - 6*c = y. Let i = 15 + c. List the prime factors of i. 2, 3 Let g be (-2)/3 + (-20)/6. Let h be -50*1*2/g. Suppose 3*w - h = -2*a, 39 = 3*w + w - 3*a. What are the prime factors of w? 3 Let y = -1 - 2. List the prime factors of 25 + -1*y/(-3). 2, 3 Suppose -3*f = -19 - 8. Let o = f - 3. What are the prime factors of o? 2, 3 Suppose -5*y - 2*b = -185, 5*b = -2*y - 2*y + 165. List the prime factors of y. 5, 7 Let d be -4*(-2)/4*16. Suppose d = 5*g - g. List the prime factors of g. 2 Let o(s) = -s**2 - 9*s + 13. Let g be o(-10). Suppose 6*v = g*v + 30. List the prime factors of v. 2, 5 Let r = 267 - 99. List the prime factors of r. 2, 3, 7 Suppose 3*g = g. Suppose g = -4*s - b + 1, -3*s = -3*b - 12. List the prime factors of s + (-3)/3*-17. 2, 3 Let m(x) = -4*x - 14. Let u(h) = -9*h - 29. Let k(i) = -7*m(i) + 3*u(i). Let n be k(-8). Suppose -o = n - 12. List the prime factors of o. 3 Let g(s) = -3*s - 36. What are the prime factors of g(-15)? 3 Let x(s) = 18*s - 4. List the prime factors of x(5). 2, 43 Suppose 9*y = 11*y - 36. List the prime factors of y. 2, 3 Suppose -z - 722 = -2*w, 2*w - 1078 = -w - z. List the prime factors of w. 2, 3, 5 Let p = -129 + 207. List the prime factors of p. 2, 3, 13 Suppose 0 = -g - 5*d + 21, -21 = -4*g - 0*g + d. Suppose -6*n = -7*n + g. List the prime factors of n. 2, 3 What are the prime factors of (145 - (-2)/1) + (-6)/3? 5, 29 Suppose 5*p + 4*n = 14, 1 + 4 = 4*p - 3*n. Let u be (-2 - (-1 + -1))/p. Let x = 12 - u. List the prime factors of x. 2, 3 Let t be (-5)/15 - (-2)/6. Let q be -1*(-2 - t) + -2. Suppose -5*u = 2*m - 61, q*m + 5*m = u - 23. What are the prime factors of u? 13 Suppose 0 = -2*l + 5*x + 26, -2*l + 14 = -0*l - 2*x. What are the prime factors of (-20)/(-8)*(l + 1)? 2, 5 What are the prime factors of (174/10)/(14/70)? 3, 29 Let m = 137 + -96. What are the prime factors of m? 41 Suppose j - r - 168 = 0, 2*r + 15 = -3*r. List the prime factors of j. 3, 5, 11 Let b be (-2)/5 + 10/25. Suppose 3*m + b*m = 27. Suppose 4 - m = -c. List the prime factors of c. 5 Let c(p) = -10*p**2 - 5*p + 2. Let u(s) = 10*s**2 + 6*s - 3. Let f(a) = -4*c(a) - 3*u(a). Let n = -1 + 0. List the prime factors of f(n). 3 Let s = 7 - -38. List the prime factors of s. 3, 5 Suppose -u + 20 + 61 = 0. List the prime factors of u. 3 Suppose 4*d = o - 5*o + 48, -30 = -2*d - 5*o. List the prime factors of d. 2, 5 Let r = -21 - -39. What are the prime factors of r? 2, 3 What are the prime factors of -1*(-13 - (-9)/3)? 2, 5 Let f be 4 + (2 - (-1 + 3)). Let h be 2/(2 - 13/7). Suppose -5*m = 2*q - h, m + f*q - 12 = -m. What are the prime factors of m? 2 Let l = -47 + 17. Let b = l + 50. List the prime factors of b. 2, 5 Let u = 226 - 86. What are the prime factors of u? 2, 5, 7 Let p(z) = -z**3 - 10*z**2 + 12*z + 8. Let m be p(-11). Let x = m + 14. What are the prime factors of x? 11 Suppose -i - 28 = -72. Let p = i - 18. List the prime factors of p. 2, 13 Let y = 41 + -6. List the prime factors of y. 5, 7 What are the prime factors of (13*-2)/(3 - 4)? 2, 13 Let g(a) = -17*a + 8*a**2 + 9*a - 1 + 42*a**2 + 7*a. What are the prime factors of g(-1)? 2, 5 Let l = 502 - 205. What are the prime factors of l? 3, 11 List the prime factors of (-2)/12 + 26/12. 2 Let k = -4 + 16. Suppose 2*l - 5*l + k = 0. Suppose u + 3*u = -4*s + 40, -l*s + 67 = -5*u. What are the prime factors of s? 13 Let r(k) = k**3 - 6*k**2 - 10*k + 3. List the prime factors of r(8). 3, 17 Suppose -a = -0*a - 33. Suppose 0*g = -g + a. Suppose 2*r - 2*j + 6 = 28, g = 3*r - 4*j. What are the prime factors of r? 11 Let m be (-6)/(0 - 6/4). Suppose m*z + 34 + 6 = 2*v, -v + 4*z + 10 = 0. Let y = v - 19. What are the prime factors of y? 11 Suppose 2*s - 3*k = 2 - 13, -2*s + 5*k - 21 = 0. List the prime factors of 480/35 + s/7. 2, 7 What are the prime factors of (51/(-34))/((-3)/80)? 2, 5 Suppose -3*p + 168 = p. Suppose 0*u = 3*u + p. Let h = u - -20. What are the prime factors of h? 2, 3 Suppose -2*m = -7*m + 15. Suppose 3*f + m*w = w + 53, 2*f - 50 = -5*w. What are the prime factors of f? 3, 5 List the prime factors of 2/11 + 656/22. 2, 3, 5 Suppose -66 + 326 = 4*m. Let f = m - 46. List the prime factors of f. 19 Let q(u) = 2*u - 3. Let x be q(3). Suppose -2*j = -x*j + 52. Suppose 6*c - c - j = -o, 2*c - 5*o = 37. What are the prime factors of c? 11 Let b(i) = 6*i + 2 - 2 + 2*i**2 - 5. Suppose -3*g = -2*g + 5. List the prime factors of b(g). 3, 5 Let p = 17 + -12. Suppose 4*q - j - 42 = 4*j, 3*q - p*j - 29 = 0. List the prime factors of q. 13 Suppose 0 = -3*t + 100 + 26. List the prime factors of t. 2, 3, 7 Let y be 4/(-10) + (-12)/(-30). Suppose y*v + 7 = v. Suppose p = v - 3. What are the prime factors of p? 2 Let i(h) be the third derivative of h**6/120 + 2*h**5/15 - 11*h**4/24 - 2*h**3/3 - h**2. List the prime factors of i(-9). 2, 7 Let m(u) = -u**2 - 6*u - 5. Suppose -5*t - 25 = -5. Let w be m(t). List the prime factors of 12/(-18) - (-23)/w. 7 Suppose k = 2*k. Let m = 2 + k. List the prime factors of ((-50)/4)/(-5)*m. 5 Let q = -5 + 9. Suppose -q*x + 88 = -0*x. What are the prime factors of x? 2, 11 Let l(y) = -y**3 - 6*y**2 + 6*y + 5. Let h(x) = x**2 - 5*x + 6. Let o be h(5). Let i(d) = d**3 - 6*d**2 - d - 1. Let s be i(o). List the prime factors of l(s). 2, 3 Let v(m) = -m**3 - m**2 + m + 24. Let b be (0/1)/(2 - 4). List the prime factors of v(b). 2, 3 Let n(x) = -x**2 - 5*x - 6. Let b be n(-5). Let q = 10 - -3. Let s = b + q. List the prime factors of s. 7 Suppose 3*d - 5*g = -3, 4 = -3*d - d + 3*g. List the prime factors of d/3 + (-31)/(-3). 2, 5 Let u(s) = s**3 + 7*s**2 - 2*s - 8. Let t = -30 + 43. Let q = 6 - t. List the prime factors of u(q). 2, 3 Let r = -12 + 5. Let f = 3 - 3. Let v = f - r. What are the prime factors of v? 7 Let d(c) = 2*c**2 + 2*c + 2. Let g be d(-2). Let s(o) be the third derivative of -o**4/24 + 11*o**3/6 - 2*o**2. List the prime factors of s(g). 5 Let w(b) = -b - 6. Let l be w(-11). Let v(i) = -3*i - 1 - l + 2*i + 4. List the prime factors of v(-6). 2 Let v = -278 + 408. List the prime factors of v. 2, 5, 13 Let t be (-1 - -1)*(-9)/(-18). Suppose t = -4*v - 13 + 117. What are the prime factors of v? 2, 13 Suppose 3 = -3*p, 2*p + 61 = 2*y - 53. What are the prime factors of y? 2, 7 Let z(x) = -7*x + 1. Let d be z(1). List the prime factors of d/8 - 984/(-32). 2, 3, 5 Let k(x) = -x**2 + x + 3. Suppose 0*j = j. What are the prime factors of k(j)? 3 Suppose -2*b + 228 - 24 = 0. List the prime factors of b. 2, 3, 17 List the prime factors of (-1)/((-3)/828*3). 2, 23 Let w(p) = -5*p**3 - 2*p**2 - p. Let f be w(-1). Suppose 0 = 4*u - 3*s + 3 + 1, 20 = 2*u + f*s. What are the prime factors of u? 2 Let z = 19 - 41. Let l = -15 - z. List the prime factors of l. 7 Suppose -q - 15 = 2*u, 0*u + 24 = -3*q + u. List the prime factors of -3 - (q - -3 - -1). 2 What are the prime factors of (88/(-12))/(1/(-3))? 2, 11 Suppose 4*y - 22 = -2. Suppose 0*x = -x + y*b + 10, 0 = 2*x - 4*b - 14. What are the prime factors of (6/x)/(6/45)? 3 Let m be ((-14)/3)/((-4)/(-12)). Let j be 8/28 + (-66)/m. Suppose 2*t - 21 = -j. List the prime factors of t. 2 Let b(h) = h**3 - 19*h**2 + 20*h - 10. What are the prime factors of b(18)? 2, 13 Suppose -5*n = -5, 2*j + 4*n = 7*j - 16. Suppose -58 + 10 = j*r. Let i = 20 + r. List the prime factors of i. 2 Suppose 0*j + 5*j - 2*r + 20 = 0, 2*j = -5*r - 8. Let i be (-67)/(-7) + 2 - 15/(-35). Let g = i + j. What are the prime factors of g? 2 Let l(u) = -3*u - 1. Let c be l(-2). Let f(m) = 5*m**2 - 7*m - 7. Let k(a) = -11*a**2 + 15*a + 14. Let i(n) = 9*f(n) + 4*k(n). List the prime factors of i(c). 3 Suppose 0*m + 14 = m. Let r = m - 0. What are the prime factors of r? 2, 7 Let c(t) be the first derivative of -t**4/4 + 5*t**3/3 + 9*t**2/2 - 2*t + 2. List the prime factors of c(6). 2 Suppose 0 = 3*p - 570 + 21. What are the prime factors of p? 3, 61 Let a = -9 - -14. Suppose a*q - c - 67 = -0*c, 12 = 4*c. List the prime factors of q. 2, 7 Suppose -8*w - 10 = -3*w, -w + 93 = 5*a. What are the prime factors of a? 19 Suppose -168 = -5*f + 5*k - 3*k, 2*f + 3*k = 52. Suppose 0 = 4*w - d - f - 112, 5*w = -5*d + 155. Suppose -8*z + w = -3*z.
{ "pile_set_name": "DM Mathematics" }
, 0.1 Suppose 3*w - 2*p - p = -9, -3*w - 11 = -5*p. Let x = w + -2. Put 2, x, -5 in decreasing order. 2, x, -5 Let b(t) = t**2 - 5*t + 6. Let o be b(4). Suppose -4*r + o*s = 22, -2 = r + s - 1. Sort -2/5, 0.5, r. r, -2/5, 0.5 Let p be -2 + (-130)/(-42) - 2/3. Put -10, 3, 2, p in increasing order. -10, p, 2, 3 Let s = -1 - -0.5. Let x = 0.42 - 0.32. Put -2, x, s in decreasing order. x, s, -2 Let p(u) = -u - 3. Let m(h) = -h**2 - 3*h - 2. Let n be m(-4). Let r be p(n). Let b(g) = -g + 6. Let w be b(8). Put 5, w, r in descending order. 5, r, w Let j(v) = 5*v - 1. Let t be j(2). Let q be (-6)/8 + t/(-36). Sort 2, 4, q in descending order. 4, 2, q Let a = -12 + 16. Sort -8, a, -3 in descending order. a, -3, -8 Let l be (-3 + 3)/(1/(-1)). Let g = l + -1. Sort g, -3, 4 in descending order. 4, g, -3 Let m = -489 - -492.09. Let a = -0.09 + m. Sort a, -1, 2. -1, 2, a Let a = -1.1 + 0.1. Let r = a + 0.5. Sort 1/5, 3/4, r. r, 1/5, 3/4 Let r = 11 - 15. Suppose 2 + 4 = -3*p. Let k be (-1)/(-2) + 3/6. Sort r, k, p in descending order. k, p, r Let z = -11 - -23. Suppose -z = -0*l + 3*l. Put -5, l, 1 in decreasing order. 1, l, -5 Let t = 0.056 + -9.856. Let p = 12 + t. Let h = -0.2 + p. Put h, 0, -2 in descending order. h, 0, -2 Let i be (-5)/(-2)*16/40. Sort -14, -4/9, i, 3. -14, -4/9, i, 3 Let w be (-2)/1 + (-8)/(-4). Suppose -2*s + 7*s = w. Let a be s*(-1 - 0/3). Sort 0.1, a, -2/9. -2/9, a, 0.1 Let l(c) = -c - 2. Suppose 3*x = -g + 2*g - 12, 9 = 3*g. Let y be l(x). Suppose 3*s - 2*s + 15 = 3*j, -j = 2*s - 5. Sort j, y, -3. -3, y, j Suppose -6*w + 32 = -4. Let m = -5 + w. Sort m, -1, -4 in ascending order. -4, -1, m Let l(a) = -a**3 - 12*a**2 + 12*a - 18. Let u be l(-13). Let j(p) = 2*p + 6. Let o be j(-4). Sort o, 5, u in descending order. 5, o, u Suppose -3*v = -v. Let b = v - -1. Sort b, 4, 2 in ascending order. b, 2, 4 Let t = 3 - 2.97. Let i = 0.03 - t. Suppose -4*f - 1 = 3. Sort i, f, -2/11 in decreasing order. i, -2/11, f Let f be 6/(-27) - 148/(-180). Let j = -1.1 - -0.1. Sort j, f, 3 in descending order. 3, f, j Suppose 3*j + 5*f = 22 + 12, 4*f = 20. Suppose -2 = 3*s - 2*s. Suppose -15 = -0*o + 5*o. Sort j, s, o in descending order. j, s, o Let m = 9.6 + -7.6. Sort 1, -0.06, m, -0.3 in ascending order. -0.3, -0.06, 1, m Let p(k) = -k - 15. Let g be p(-12). Suppose -3*x - 2*x + 30 = 5*j, 18 = 4*x + j. Sort x, g, -1 in decreasing order. x, -1, g Suppose -3*l - 7 = 2. Put l, 5, -11 in descending order. 5, l, -11 Suppose -2*n - g = -1, -5*g - 7 = -0*n + 4*n. Suppose -3*q + 2*t = 11, 0 = -4*q - t + 6*t - 24. Put n, q, 5 in increasing order. q, n, 5 Let n = 9 + -11. Put -3, -8, n in decreasing order. n, -3, -8 Let i = -30 + 46. Let w be ((-1)/(20/i))/(-2). Put 5, w, -2 in descending order. 5, w, -2 Let s = -9.5 - -10. Sort s, -0.1, 6 in increasing order. -0.1, s, 6 Let z be -2*1/4*0. Sort 5, -1, z in descending order. 5, z, -1 Let t = 0.1 - -0.16. Sort 1/7, t, -1 in decreasing order. t, 1/7, -1 Let z = -16 - -8. Let t be 22/z + 1/4. Put -1, 2, t in increasing order. t, -1, 2 Let o = -51 + 50. Let z be ((-1)/1)/((-1)/2). Sort z, o, 1. o, 1, z Let m = 1.2 + -9.2. Let q = m + 8.2. Suppose 0 = 4*t + 8. Sort -2/21, q, t in descending order. q, -2/21, t Suppose -2*m + 16 = 2*m, -m = 2*i - 8. Suppose 0 = i*p - 15 + 7. Let j(o) = -o**3 - 4*o**2 + o + 3. Let n be j(-4). Put p, n, 3 in increasing order. n, 3, p Let g be (-1)/1 + (-1 - 2). Suppose 5*c + 20 = -5*t, -5*c = 4*t + 22 - 2. Let b = t + -2. Sort b, g, 5 in ascending order. g, b, 5 Let d(i) = -3*i**3 - i**2 + i - 1. Let s be d(1). Sort s, 8, 3. s, 3, 8 Suppose 5*p + 4*q = 20, -7*p - 4*q + 4 = -6*p. Sort -0.3, 6, p in descending order. 6, p, -0.3 Let s = 328/11 + -30. Put -3/8, -2, 1, s in increasing order. -2, -3/8, s, 1 Let k = -100 - -96.08. Let x = -0.08 + k. Suppose -3*v - 3*z = -7*z - 3, -2 = -2*v - z. Put x, v, 5 in descending order. 5, v, x Let v be (-18)/(-14) - (-4)/(-14). Let u be (-4)/(-5)*75/6. Suppose 5*w = -0*w - u. Sort v, -3, w in descending order. v, w, -3 Let l be (235/(-9))/(-5) + -3. Sort -1, l, 1/6 in increasing order. -1, 1/6, l Let p(l) = 2*l - 8. Let s be p(6). Let b = 1 - 3. Sort s, b, -3 in ascending order. -3, b, s Let q = -1.7 + 1.6. Put q, 1/2, 6, 2/3 in descending order. 6, 2/3, 1/2, q Suppose 3*z + 42 = 3*p, -p - 5*z = -0*p + 10. Let d be (4/(-10))/(2/p). Let w = -5 + 2. Sort w, d, 4 in ascending order. w, d, 4 Suppose -2*x = -0*x - 2. Sort 2, 4, x in descending order. 4, 2, x Suppose -y - 11 = -2*i, 3*y - 3*i = -0*i - 24. Let l(b) = -b**3 - 11*b**2 - 12*b - 21. Let u be l(-10). Sort y, 3, u in ascending order. y, u, 3 Let l = 3.5 - -0.5. Let g(t) = t**2 - t - 1. Let d be g(-1). Let r be 1*-3 - 4*1/(-4). Put l, d, r in increasing order. r, d, l Let j = 6.982 - -0.018. Let m = 0.4 - -0.6. Sort j, m, -0.2 in descending order. j, m, -0.2 Let b = 0.2 + -1.6. Let o = b - -1.7. Sort 0.1, o, 0.5. 0.1, o, 0.5 Suppose -8 - 14 = -g + 5*f, 5*g + f + 20 = 0. Suppose -5*h = -4*z + 1, 3*h - 29 = -0*z - 5*z. Put h, g, -5 in decreasing order. h, g, -5 Suppose -2*f = -5*f + 5*h + 6, 4*h = -4*f + 40. Sort f, 3, -1 in increasing order. -1, 3, f Let z(t) = t - 2. Let p be z(0). Let c(g) = 6*g**2 + g + 1. Let v be c(-1). Let d(y) = -y**3 + 6*y**2 + y - 5. Let i be d(v). Sort 0, i, p. p, 0, i Suppose 5 = 6*o + 11. Sort 4, 1, 17, o in descending order. 17, 4, 1, o Let h be (-13)/(-21) - (-2)/(-6). Let s = 1.5 - 2.1. Let w = -0.2 - s. Sort w, -0.4, h in increasing order. -0.4, h, w Let p = -11 - -16. Suppose 2*b = a - p*a + 12, 0 = -a + 3*b - 4. Sort -8, 0, a. -8, 0, a Let u = -4.32 + -0.08. Sort 1/4, u, 2/15. u, 2/15, 1/4 Let n be ((-305)/183)/((-10)/24). Suppose 2*f + 0*b + 2 = 2*b, -2*f - 9 = 5*b. Sort 1, n, f in decreasing order. n, 1, f Let c = 2.9 + 0.1. Let v = c - 2.5. Let y be ((-4)/(-14))/(6/(-14)). Put v, -6/5, y in decreasing order. v, y, -6/5 Let o = -25 + 6. Let b = o + 14.8. Let n = b - -4. Sort 2/11, n, 5. n, 2/11, 5 Let r be 0 + (0 - (-1 - -1)). Let a be 4/(-14) + 60/14. Suppose -2*m = -5*m + 6, 5*m - 8 = -y. Sort r, a, y in decreasing order. a, r, y Let z be (1 - 0 - 4) + 7. Suppose -3*x - 30 = -6*a + a, z*x + 8 = -4*a. Sort -3, x, 0 in descending order. 0, -3, x Let r = -2.025 - -0.025. Let b = 1 - -1. Sort -1, b, r in ascending order. r, -1, b Let m = -4/17 - -41/102. Put m, 1.9, 2/9 in decreasing order. 1.9, 2/9, m Let h = 13 - 12. Suppose -h = -0*r + r. Sort -2, r, -3 in decreasing order. r, -2, -3 Suppose -3*q = q - 8. Suppose 0 = q*o - 3*t - 3, -6*t - 27 = 5*o - 2*t. Put 3, o, -2 in increasing order. o, -2, 3 Let y(f) = -f**3 + 6*f**2 - 5*f + 1. Let b(q) = q**2 - 7*q + 5. Let s be b(7). Let k be y(s). Sort -1, k, 4 in decreasing order. 4, k, -1 Let z = 153 - 767/5. Put 4, z, -3 in decreasing order. 4, z, -3 Suppose -2*v + 4*h = 22, -v = -5*h + 22 + 4. Suppose t + 27 = -5*k, -k = -5*t + 2*k + 5. Let i be 10/(-15)*3/t. Put v, 2, i in ascending order. v, i, 2 Suppose 8*t = -42 + 34. Put t, -21, -1/10 in descending order. -1/10, t, -21 Suppose 3*u + 4*o = -1, -4*u + 0*o + 4*o = -8. Let x(m) = -4*m**2 - 5*m + 1. Let z be x(-3). Put u, z, 0 in decreasing order. u, 0, z Let h be (-2 + 3)*-2*-2. Let o be (h/5)/((-36)/20). Sort 5, o, 3 in ascending order. o, 3, 5 Suppose -z = 3*c - 5, 2*z - 15 = -5*c - z. Suppose c = -7*q + 2*q + 10. Put -4, -5, q in ascending order. -5, -4, q Let z = -3 - -3. Suppose 2*j + 2 + z = 0. Let s be ((-7)/(-4))/(-7)*-4. Put j, -3, s in decreasing order. s, j, -3 Let z be (-6)/9 - (-4 - 6/(-3)). Put -3, z, -2/7 in decreasing order. z, -2/7, -3 Suppose -s = -5*s + 20. Put 2, -6, s in increasing order. -6, 2, s Suppose 0 = h + 3*h - 16. Suppose 17 = 4*p - 3*i - 0*i, 0 = 4*p + 3*i - 47. Suppose q - p = 3*q, 0 = s - q. Put -5, s, h in descending order. h, s, -5 Let m = -0.33 + 0.33. Put m, 2/5, -0.3 in decreasing order. 2/5, m, -0.3 Suppose -10 = -2*i + 5*w, 3*i = -2*i + 2*w + 4. Sort -3, 0.1, -4, i. -4, -3, i, 0.1 Suppose g + 0*g + 6 = h, 0 = g + 5. Let f(i) = i + 11. Let a be f(-6). Let k = 7 - a. Put -3, k, h in descending order. k, h, -3 Let d = 6 + -2. Let g be -1 - (-2 + 0)/2. Sort g, d, 2 in ascending order. g, 2, d Suppose g = 5*v + 11, -2*g - 9 = -v + g. Let p = 0.2 + 1.8. Sort 0.3, p, v. v, 0.3, p Let z = -1145/7 - -163. Let t = 14 - 8. Sort z, -4,
{ "pile_set_name": "DM Mathematics" }
is the nearest to -145864? (a) 10/9 (b) 2/3 (c) -2/13 (d) 2/23 c Which is the nearest to -0.1? (a) 2.3 (b) -2/5 (c) 1/6 (d) -6 (e) -64.5 (f) -29 c What is the closest to 1 in -3, 0.05, -82891? 0.05 What is the nearest to 0 in -5, 0.03, -10, 4.611? 0.03 What is the nearest to -1 in -2/3327, -7/3, -2, -0.022? -0.022 Which is the closest to -2? (a) 9/17 (b) -19 (c) -136 a Which is the closest to 1.7? (a) 1 (b) 2 (c) 5900 (d) -1 b Which is the closest to -0.1? (a) -29 (b) 14 (c) -7596/7 (d) 0 (e) -1 d What is the nearest to -0.5 in 1/2, 0, 3, -5/223, -130? -5/223 Which is the nearest to 1/4? (a) -14 (b) 7/3 (c) 3/19340 (d) 0 c What is the closest to 2727 in 5, 0.4, 1, -1/7, 2.5? 5 Which is the nearest to 0.4? (a) 1 (b) 1188/155 (c) 0 c What is the nearest to 0.1 in -3, 1314, -167? -3 Which is the closest to -5? (a) -0.3 (b) -6 (c) -497/8 (d) -1 (e) 4 b Which is the nearest to -0.1? (a) 7 (b) 7/2 (c) 31/375 c Which is the closest to 0? (a) 12/19 (b) -33 (c) -4 (d) -50 a Which is the closest to 83? (a) -9/2 (b) 3459 (c) 5 c What is the closest to 3 in -0.5, 1/140, -4, 70170, -5? 1/140 What is the nearest to 0 in -213, -0.2, -0.07, 2, 3/4, -2/3? -0.07 Which is the nearest to -7? (a) -32 (b) -4/5 (c) 196.1 (d) 0 (e) -5 e What is the closest to 0.4 in -1/114, 0.0179, -3? 0.0179 Which is the nearest to -26? (a) 125 (b) -1 (c) -303 (d) 0.2 b What is the nearest to 0.02 in 3/2, -29, -1/9, -1805, -0.05? -0.05 What is the nearest to 0.1 in 2, -5/27, -0.288127? -5/27 What is the closest to -0.2 in -41, -1/2, 10, 0.122? -1/2 Which is the closest to 0.05? (a) -1 (b) -0.11 (c) 218/7 (d) -6 (e) -3 b What is the closest to -0.85 in -4/5, -4, 2/35, -22/3? -4/5 Which is the closest to -1/3? (a) 1/10 (b) -275 (c) -3 (d) 31 a What is the closest to -0.2 in 1/9, 0.2, -0.4, -913, 273? -0.4 What is the nearest to 0.5 in -0.2, 1/8, 16, -9206? 1/8 Which is the nearest to 0.1? (a) -0.4 (b) -0.2 (c) 0.5 (d) -28.7287 (e) -1/3 (f) 30 b What is the nearest to 4 in -815, -2/7, -4, 0.5, -0.5, 4? 4 What is the nearest to 1 in -1/53, -4/5, -4, 100? -1/53 Which is the nearest to 6? (a) 0.035 (b) -21592 (c) 5 c What is the nearest to -1/4 in 4, -13442, 0.06, -4, 0.2? 0.06 What is the nearest to -0.2 in 3626, 5, -40, 2/9, -0.5? -0.5 Which is the closest to 0? (a) 3 (b) 0 (c) -97 (d) -0.1431 b Which is the nearest to -51/2? (a) 9 (b) -0.13 (c) 10 (d) 4 b Which is the closest to 13904? (a) 0.07 (b) 5 (c) -2/17 (d) 0.5 b What is the closest to -663 in 4/349, 2, 1/4? 4/349 What is the closest to 5691 in 2/21, 2/17, -2, -0.5, -3/5? 2/17 Which is the closest to -33? (a) 400/9 (b) -0.2 (c) 4/3 b What is the closest to 2/9 in 240, 0.313, 3, 1, -15? 0.313 Which is the nearest to -2? (a) 0 (b) -3/5 (c) -447072 b What is the closest to 110848 in 1.6, 1, -0.5? 1.6 What is the closest to 1 in 1232, 1/3429, 1? 1 What is the closest to 0 in 60, 9/544, 1/2, -24? 9/544 What is the nearest to -9 in 0.2, 13, -6, -23, -2.4? -6 What is the closest to 124 in 0.1, 0.2, -1.859? 0.2 Which is the closest to 1? (a) -0.0105 (b) 4184 (c) -1 a What is the nearest to 30/533 in 4/3, 0, 43, -2/15, -5, -0.4? 0 What is the nearest to -2743 in 3, -1/4, 701? -1/4 Which is the closest to 3/4? (a) 2/907 (b) 563 (c) 2/3 c What is the nearest to 2 in 0, -17965, 197? 0 What is the nearest to 2313 in 1/5, -0.3, -1/4, -2, 2? 2 Which is the closest to 0.5? (a) 489859 (b) -4 (c) 0.08 c What is the nearest to 2 in -0.2, 11, -40, 0.06? 0.06 What is the closest to 42 in -44, 3/7, 557/2, 1/4? 3/7 Which is the closest to -0.07? (a) -49 (b) 0.4 (c) -0.4 (d) -3/5 (e) 170 c Which is the nearest to -1/2? (a) -2.1 (b) -1/24 (c) 2/11 (d) 6.6 b What is the closest to 1 in 5/9, -660935, -2/3? 5/9 What is the closest to 189 in 2/25, 240, -1/2, -9? 240 Which is the nearest to 14712? (a) -2/9 (b) -0.1 (c) 0.1 (d) 5 d Which is the closest to -26199? (a) 7 (b) -1 (c) -15 c What is the nearest to 36 in 2/97, 7, -1/5, -11.2, 2/3? 7 What is the closest to -0.78 in -0.5, 3/2, -1/3, 1713, 40? -0.5 What is the closest to 0.2 in 3, 27.44, -404? 3 Which is the closest to -2/7? (a) -3.826 (b) -3/2 (c) 0.3 (d) -98.6 c Which is the nearest to 1? (a) -211 (b) 84 (c) 69/16 (d) 5 c What is the nearest to 75 in -26849, -0.4, -0.03? -0.03 What is the closest to 2/3 in -146213, 4, 1/6, 2, 3? 1/6 What is the nearest to -0.0298 in -2, 4, 1/9, 0.086? 0.086 What is the nearest to 3 in -1/2, -48, -42826? -1/2 What is the nearest to -171 in 0, 15, 1, -3/7, -2/31? -3/7 Which is the closest to -2? (a) 4/7 (b) -1.922 (c) 491 (d) 0.4 b What is the closest to 2/3 in 10790, 1/9, 0.04, -0.2, -5? 1/9 What is the nearest to 0.1 in 5, -4, -1075.62? -4 Which is the nearest to -96? (a) -4 (b) -15 (c) -898/5 b Which is the closest to -0.2? (a) 33/89 (b) 19 (c) 2 (d) 0.5 (e) -0.26 e What is the nearest to 122238 in -66, 6, 0.4? 6 Which is the nearest to 13? (a) 215 (b) -5 (c) -473 b What is the closest to 1.2 in 0.4, 1/7, -56, -332, -1? 0.4 Which is the nearest to 2/7127? (a) 1/3 (b) -1/3 (c) 30 (d) -0.9 a Which is the closest to 0.2? (a) 5 (b) 0.039 (c) 4 (d) -8 (e) -0.5 b What is the closest to -3/61 in 4906, 0.1, -7, -0.3? 0.1 Which is the nearest to 1? (a) -0.5 (b) 2/23 (c) 6 (d) 141472 b What is the nearest to 0.72 in 4/5, 0, -3/4, -322? 4/5 What is the nearest to -0.05 in -0.2, -74671, -4, 0.16, 0.2? -0.2 Which is the closest to 2.7? (a) -1386 (b) 2 (c) -0.1 (d) 1 (e) -7 b What is the closest to -204 in -1, 0.0066, -4, -8? -8 Which is the nearest to -1? (a) -3/5 (b) 12 (c) 327 (d) 4 (e) -13 a Which is the nearest to 1/2? (a) -0.2 (b) 5 (c) -0.5 (d) 0.4 (e) -16507 d What is the closest to 5.74 in -5, -1/6, -3, 3, -56? 3 What is the nearest to 17 in 1/5, 0, 73, 0.25, -25, -2/5? 0.25 Which is the nearest to -703? (a) -1/4 (b) 1/28 (c) 2/11 a What is the closest to -2 in 4, 10359, 1/8, -1, -4? -1 What is the nearest to -2/3 in 0.12675, 264, 3? 0.12675 Which is the nearest to -1? (a) -1682 (b) 15 (c) -76 (d) -1 d Which is the nearest to -3? (a) -0.3 (b) 1169/4 (c) 0.4 (d) -4 (e) 7 (f) 21 d What is the nearest to 0.14 in -0.5, -0.3, 264/23, -0.12? -0.12 Which is the nearest to -0.2? (a) -5 (b) -3 (c) 1.6 (d) -12/49 (e) -6 d What is the closest to 8 in -2, 10, 2200? 10 Which is the closest to -4855997? (a) -0.3 (b) 1 (c) 1/13 a What is the closest to -91 in -2/19, 3, -2.2? -2.2 Which is the nearest to -17? (a) 9 (b) 2/9 (c) -154 (d) -1/6 (e) -5 e What is the closest to -5 in -1, 2, 308/227? -1 Which is the nearest to -1/2? (a) 1/4 (b) -2.5 (c) -166/11 (d) -2 (e) -31 a Which is the nearest to 1/4? (a) 121 (b) -1179 (c) -0.04 (d) 3 c Which is the nearest to 26/3? (a) 5 (b) 3 (c) 6893 (d) 0 (e) 0.1 a Which is the closest to -11? (a) 0 (b) 9 (c) 2/19 (d) -4068 a Which is the nearest to 53/5? (a) 2 (b) 2233 (c) 5/4 a Which is the nearest to -1/5? (a) -0.3 (b) 5/2 (c) 118463 (d) 19/5 a Which is the nearest to 135? (a) 0.14 (b) 0.6 (c) 11 (d) 5 c What is the nearest to -0.05 in 790, -228, -0.9, -0.2? -0.2 What is the closest to -14/9 in 4, -77, 3/2, 1/9, 0.2? 1/9 What is the nearest to -2 in -53, -0.102, 72/13, -1/5? -1/5 What is the nearest to 3/2 in 4, 3.9, 1/19, 2, 0.18? 2 Which is the nearest to -2/7? (a) -1 (b) 2 (c) -29/10 a What is the nearest to -3 in -858, -1/947, 1, -5? -5 What is the nearest to 123/2 in 39/8, -3/7, 3/2? 39/8 What is the closest to 2/5 in 0.1, 10, -815/2, -1/3? 0.1 Which is the nearest to -1/3? (a) -2/13 (b) -4/3 (c) 0.04 (d) 0 (e) -1/5 (f) 2/72231 e What is the nearest to 10 in 4, -14, 1/6, -1, 5? 5 Which is the closest to 0.1? (a) 0 (b) -12 (c) 35 (d) -232 (e) 0.19 e What is the nearest to 195/4 in 0.1, 0.5, 0.2, -1, 2, -75.3? 2 Which is the nearest to 2? (a) -0.5 (b) 0.3 (c) 5 (d) -6 (e) 1/7 (f) -382 b What is the closest to 19186 in -0.0422, -4, 0.5? 0.5 Which is the closest to -18? (a) 2 (b) 1 (c) 3/416 c Which is the closest to -1/4? (a) 58.5 (b) 0.1 (c) 0.3 (d) 542 b Which is the closest to 2/13? (a) 100 (b) 375 (c) 0.9 (d) -1 c Which is the nearest to 0.1? (a) 442 (b) -2/3 (c) 0.3 (d) 0.007 (e) 3 d
{ "pile_set_name": "DM Mathematics" }
+ n + 4*n + 13 for m. -3 Let y be 100/10 + -9 + -1. Solve -2*t = -y*t - 2, -3*k - 5*t = 7 for k. -4 Let h(q) = -q**3 - q**2 + q + 4. Let i be h(0). Let g be (3/5)/((-4)/(-20)). Solve -i*v = j + g - 15, 3*v - 4 = -2*j for j. -4 Suppose 0 = 3*g + 15, 0 = 2*l - g - 6 - 5. Solve -3*h = -2*d - 2*h + 4, d = -l*h - 12 for d. 0 Suppose -13*k + 9*k + 232 = 0. Let g = k + -41. Let x = -14 + g. Solve -x = 2*r + i, 7*i = 2*r + 4*i - 17 for r. 1 Let l(r) = -r**2 + 7*r - 12. Let c be l(3). Solve 5 = -n - 4*u, 4*n + 5*u + 2 + 7 = c for n. -1 Let k be (-6 + (-34)/(-6))*-42. Solve h + 9 = -c + 3, 0 = c - 4*h - k for c. -2 Let b(n) = n**3 + 27*n**2 + 50*n + 3. Let f be b(-25). Solve -17 = -v + 5*i - f, -5*v - 11 = 2*i for v. -1 Let i(w) = -w**3 - 7*w**2 - 8*w - 6. Let t be i(-6). Let x(h) = -h**2 - 14*h - 23. Let s be x(-10). Let m = 20 - s. Solve m*n + 4 = b, -2 + t = b for n. 0 Let f be (-27)/(-3) - (-6)/(-1). Solve -5*d + 17 = -f*w, 2*d - 4 = -w + 5*w for w. 1 Suppose -4*n = -16, 64 = 4*v - 22*n + 27*n. Let h = -3 - -6. Solve -h*i = -2*x - 1, -i - 2*i = -4*x - v for x. -5 Suppose -5*o - 11 = 4*u, -2*u = u + 12. Solve 10 = 2*k, k + 0*k - o = y for y. 4 Let q(f) = f**2 - 4*f - 4. Let v be q(5). Suppose 2*h + 5 = p, 2*h - v + 3 = 0. Solve 0*k + k = -5*j + 12, 2*k - p*j + 15 = 0 for k. -3 Let w(n) = 3*n + 26. Let z be w(-7). Suppose z*j - 20 = -4*a + 12, -5*j + 35 = 5*a. Solve 6 = 2*q - a*p - p, 6 = -3*p for q. -1 Let r be -1 - -1 - (-7 + 34). Let w = -18 - r. Solve 8 = -2*j - 3*p - 3, 3*j = 4*p + w for j. -1 Let u(g) = g - 23. Let v be u(26). Solve -w + 5*s = -v*w + 20, -3*w + 25 = 5*s for w. 5 Suppose -154 = -4*a - 5*g, -5*g - 9 - 1 = 0. Let n = a + -11. Solve 3*v - v = -5*r - n, 3*v = 4*r + 1 for r. -4 Let x(p) = -p**3 - 23*p**2 + 7*p - 404. Let v be x(-24). Solve 2*j = v*j + u - 7, 5*j + u - 22 = 0 for j. 5 Suppose -g = 3*g - 16. Suppose 14 = 5*d + g. Solve 4*q - 13 = k, -d*q + 2 = -2*k - 0*q for k. 3 Let w(c) = -c**2 - 11*c - 1. Let i be w(-9). Solve 2*s - u + 7 = 7*s, 4*s = 3*u + i for s. 2 Suppose 163 = 4*c - m + 59, 5*m - 101 = -3*c. Let t be (-1)/(3/c*3). Let j be (-7 - -5) + (-1 - t). Solve 2*d + 4 = g + d, j = 3*g - 2*d - 12 for g. 4 Suppose 3*s = 0, 2*o - 110 = 4*s - 3*s. Suppose -54*u = -o*u + 3. Solve -3*x = x + 8, -u*x = -5*v + 31 for v. 5 Let c(q) = -2*q**2 - 26*q + 62. Let b be c(-15). Solve b*i - 22 = -4*x, 3*i + 4*x - 13 = 4*i for i. 3 Let z(b) = -b**2 + 3*b + 33. Let v be z(-4). Solve 1 = -v*d + 6, 0 = 4*k - 3*d - 17 for k. 5 Let c = 305 + -284. Solve -p + 6*p - 2*i = -7, -c = 3*p + 3*i for p. -3 Let c(x) = -5*x + 28. Let p be c(5). Suppose -p*l - 5*n = 11, -19 = 5*n + 1. Solve j = -0*j - l*w, 5*w = j for j. 0 Suppose 4*f - d - 4 = 0, 4*f + f = d + 6. Solve -f*q - 14 = 4*u, u + 2*u = 2*q - 14 for u. -4 Let i = 238 + -223. Solve 0 = 5*f + 3*d - i, 2*d - 8 - 2 = -2*f for f. 0 Suppose 31 = 2*u - 5*g, -g = -3*u - 2*g + 4. Let a(l) = -2*l + 40. Let b be a(19). Solve 0*y - b*z = -3*y + 17, 0 = -3*z - u for y. 5 Let c = 644 + -640. Let t(z) = -z - 4. Let h be t(-4). Suppose c*q + h*q = 0. Solve 5*y - 3*k + 23 = k, q = 3*y + 4*k + 1 for y. -3 Let j be (132/297)/(2/9). Solve 3*y = -z - 5, 3*y + 3*z + 1 = -j for y. -2 Suppose 5*d - 4*o + 3*o + 128 = 0, -5*o - 88 = 3*d. Let q = d - -18. Let y be 6 + (2 - (-2 - q)). Solve -4*f + a = 8, -y*a + 4*a - 9 = f for f. -1 Let v = 51 + -19. Suppose -v - 18 = -5*y. Let l(u) = -2*u. Let h be l(-3). Solve -2*m + w = 3, -h*m + 2*w = -m + y for m. -4 Suppose -2*r - 7 + 1 = 0. Let x(p) = -p**3 - 3*p**2 + 3*p + 9. Let t be x(r). Solve 3*l = -5*v - 5, t = -0*v + 3*v - 2*l + 3 for v. -1 Let k be (-3 + 3)/((-8)/4) - -1. Let h be (k + 2)*(-48)/(-9). Solve 2*r + 7 = 3*s - 3, -3*s + h = -5*r for s. 2 Let j = 155 - 144. Suppose -j*f = -125 + 4. Solve 0 = 3*i + 4*n + 4 + f, 0 = -5*i + 2*n - 25 for i. -5 Let f be (-3)/((-27)/(-6) - 6). Solve -1 = a - 3*l, 5*l = f*a + 2*l + 5 for a. -4 Suppose 51*u = 72*u - 105. Solve -2*q + 2 = -b, 4*b - 6*q + u*q = 6 for b. 2 Let d be (3 - 9)*(-3)/6. Solve 13 = -5*c - d*r, 2*r - 8 = -0 for c. -5 Let z(o) = -16*o**3 + 1. Let w be z(1). Let l = w + 39. Solve -5*v = 5*b - 4 + l, -4*v + 4*b = 8 for v. -3 Let x(q) = q**2 - 3*q + 1. Let l be x(4). Let t be l/4 + (-3)/(-4). Solve 5*m = 5*b - 10, 0 = -t*m + 4*m - 6 for b. 5 Let t(a) = a**3 - 14*a**2 + 14*a - 6. Let b be t(13). Solve -4*q = -b*m + 2*m + 12, 5*q - 3*m + 2 = 0 for q. 2 Suppose -4*j + 12 = -0. Suppose 3*n = -5*z - 14, -10 = j*n + 4*z - 0*z. Solve 0*r - 25 = -5*r, 5*r - 21 = -n*w for w. -2 Suppose 3*m + 12 = -5*q, 4*m + m + 20 = 3*q. Let h = m - -5. Solve -5*t = 4*n + 19, -h = -3*n - 4 for t. -3 Let t(w) = -w**3 - 19*w**2 - 2*w - 32. Let a be t(-19). Let r be -2*(-3)/a*1. Solve -4*d - 16 = 5*c, 0 = -5*d - 2*c - r - 19 for d. -4 Let s be 3 + 1 + 2 - 4. Suppose 6 = y - 3*t, y + t = -s*t. Solve 0 = -r - 5, -y*o + 4*r + 20 = -4*o for o. 0 Suppose 5*j = 5*d, -24*d + 26*d - 15 = -3*j. Solve -5*h - 2 = 3*t, h + 11 - 13 = -d*t for t. 1 Suppose 4*o - 27 = -23. Let c be (70/45)/(o/9). Solve 5*j + 2*u + 1 = -c, -9 = 3*j + u for j. -3 Let c = -325 + 347. Solve -4*v = 2*s + c, 4*s + 11 = 2*v + v for s. -5 Let f be (-62)/93 + (-6)/(-9). Solve 0 = 4*r + 2*a + 8, 4*r - a + 6 + 8 = f for r. -3 Suppose 0*a + 4*a + n + 105 = 0, 5*n = -a - 31. Let m = a - -29. Solve 4*i - 3 = -0*j + j, m*j = 15 for i. 2 Let x = -161 - -163. Suppose -4*c + 8 = 2*k, -x*c = -0*k - 4*k + 6. Solve 0 = k*g - 3*t + 11, -2*t = 4*g - 9*g for g. 2 Let c(a) = 15*a + 1. Let t(m) = -5*m. Let l(v) = -4*c(v) - 11*t(v). Let u be l(-6). Solve u + 1 = r + 5*g, r - 4*g = -18 for r. 2 Let g be (6/(-30)*5)/(2/(-8)). Solve g*x - 17 + 5 = 0, 5*x - 10 = -5*n for n. -1 Let w be -18 + 19 + (4 - 0). Solve 0 = w*d - 3*j + j + 25, -3*d + j - 15 = 0 for d. -5 Suppose -1358*o + 1364*o = 12. Solve o*n + 3 = -h - 5, 4*n = -3*h - 18 for n. -3 Suppose -13 + 217 = 4*s. Suppose h + 47 = s. Solve 2*u - 4*f - h = -0*u, 5*u - 3*f = 3 for u. 0 Let s = 153 - 150. Solve 3*o - s*d + 2 = 5, -2*d = -3*o - 2 for o. -4 Let v = -1880 + 1884. Solve -r + 6 = -y, -4*r + 15 + v = -3*y for r. 1 Let x = -5 + 8. Let i be 2 + 0/(-5 + 12). Solve i = -s, -x*s + 4*s + 3 = g for g. 1 Let g be (3*5/(-10))/((-3)/6). Solve -u = -3*f + 11, g*u = -f - 6 + 3 for f. 3 Let k(x) = -x**2 + 4*x - 6. Let m be k(4). Let o be (102 + -4)*m/(-7). Let q be 2/3 - o/(-9). Solve -4*f = -f - 2*c + 4, 4*c = -3*f - q for f. -2 Let l = 218 - 214. Solve l*b + 4*x - 24 = 0, -x = 5*b + 2*x - 20 for b. 1 Suppose -15 = 9*d - 14*d. Solve -5*t + d*g - 23 = -3, 0 = -4*t - g - 16 for t. -4 Let w(l) = -l**3 - 5*l**2 + 8*l + 14. Let k be w(-6). Let f be (-17)/(-3 + 2) + k. Solve -5*d + f = 4*g - 1, -g = 2*d - 5 for d. 0 Suppose 0 = 12*x - 254 + 194. Let k be -2 + 2 + -2 + 26. Suppose -4*d = -4*t - k, 8*d - 3*d + t = 42. Solve -3*p + q + 20 = -d*p, 2*q = -x*p - 25 for p. -3 Let x be 6/(-3) + 1 + 1. Suppose x = -p + 3*p. Solve -2*v = 4*u - p*v - 8, -u = -v + 1 for u. 1 Suppose 2 = -2*p + p. Let y be (3 - (-7)/p)*-10. Suppose 19 = y*w - 1. Solve 3*t - 2*z - w = -11, -3*z + 5 = t for t. -1 Suppose 4*j = -4*w - 2 + 6, -2*j = 3*w. Solve 9 = j*d - 3*a, -5*d + 6*a = 3*a - 7 for d. -1 Let v = -722 - -727. Solve 0 = 5*n - 20, v*n = -2*f - f + 8 for f. -4 Suppose -2*n - 2*n = 4*u - 24, 4*u - 33 = -5*n. Suppose 2*r - w + 0*w - n = 0, -2*r - 3*w - 11 = 0. Solve 0 = 4*y + g + 1, 0 = 4*y + g - r*g - 9 for y. 1 Let q(z) = -2*z + 59. Let c be q(22). Solve -8*h - c = -3*h - 5*a, -4*a - 15 = 5*h for h. -3 Let r be 2 + -7 + (5 - -4). Solve 2*y + 0*o + 16 = -5*o, 4*y + 3*o = -r for y. 2 Let v(l) = l + l + 3 - l. Suppose -20 + 0 = -5*c, -2*b = -4*c + 20. Let r be v(b). Solve 0 = -0*x - x - r, 0 = 3*h - x - 16 for h. 5 Let i = 85 + -142. Let r = i - -63. Solve r = 3*n + 3*y, -n + 1 = n + 3*y for n. 5 Suppose -6 = -4*m - 3*v, 5*m + v = 4*v + 21. Solve 15 + 12 = -4*q - 5*f, -q - m*f = 12 for q. -3 Let t = -20 + 22. Suppose -t*h + 2*b = -16, -10*h + 13*h + b = 12. Solve 2*w = -x - 3, 4*x + 6 = -h*w + 3*x for w. -1 Let m be (-2 - 1)*(0 - 1). Let l be (-20)/(-6) - (-3)/(-9). Let c(x) = 4*x - 87. Let v be c(27). Solve l*n + v = m*p, -n - n = p + 2 for n. -3 Let c = 116 - 140. Let x be 1*4/c*3*-6. Solve -2*n = -5*h - 7, -5*h = -4*n + 6 + x for n. 1 Let a(q) = q + 4. Let b be a(-7). Let w = 6 + b
{ "pile_set_name": "DM Mathematics" }
ase 9) to base 14. -389756 What is -232211333 (base 4) in base 11? -120428 Convert -ab690 (base 13) to base 16. -4be7c What is -10417298 (base 10) in base 11? -5975741 What is -3402010 (base 8) in base 3? -1201122222212 5611456 (base 7) to base 9 1264304 -bd1127 (base 16) to base 6 -1121324155 20574404 (base 8) to base 9 8228664 1314220 (base 10) to base 3 2110202202211 What is 10000011011010011000 (base 2) in base 14? 100236 What is -1001010101101100001 (base 2) in base 8? -1125541 Convert -320333 (base 5) to base 13. -4b56 What is 1771a8 (base 15) in base 11? 7078a6 What is 54675 (base 14) in base 2? 110001111000101111 114082 (base 9) to base 16 10bf8 -a5b96 (base 12) to base 2 -110101001001100010 What is -534225 (base 6) in base 10? -43721 Convert -77c1a (base 16) to base 2. -1110111110000011010 What is 351352451 (base 6) in base 10? 6515599 Convert 121000222211 (base 3) to base 4. 1031010010 Convert -475aa4 (base 13) to base 6. -100220404 What is 5cef1 (base 16) in base 6? 12054145 -112110110202000 (base 3) to base 7 -122220111 -188650 (base 11) to base 10 -289608 What is -45102 (base 7) in base 16? -2c6a What is 100121220010 (base 4) in base 12? 1534004 -47509 (base 12) to base 11 -65a53 What is 2286cb (base 13) in base 14? 1743bb Convert -5b244 (base 12) to base 3. -20020202121 What is -100033232 (base 4) in base 6? -1232022 Convert 1114090 (base 12) to base 8. 14344154 What is 183729 (base 15) in base 4? 10133020302 -8e4c9 (base 15) to base 8 -1565333 -5323320 (base 7) to base 10 -644658 Convert 797dc2 (base 16) to base 5. 4014241200 Convert -61137 (base 9) to base 6. -510054 -233dd (base 15) to base 16 -1b682 3145843 (base 9) to base 13 46c626 What is -1100221002 (base 5) in base 15? -316a87 Convert -2aa736 (base 14) to base 3. -2210122001212 What is 486474 (base 15) in base 13? 943780 What is -153760 (base 10) in base 3? -21210220211 11111100110010100111 (base 2) to base 12 41b25b 14205402 (base 7) to base 3 2111112221220 What is 8a787 (base 11) in base 8? 400464 What is 1110001101111110000110 (base 2) in base 4? 32031332012 What is 1100111111101101001101 (base 2) in base 10? 3406669 Convert -10111101101011010110 (base 2) to base 4. -2331223112 What is -300420422 (base 6) in base 4? -103112130332 Convert -12cb9 (base 16) to base 10. -76985 What is 21205444 (base 6) in base 4? 2120023210 -1013102 (base 7) to base 12 -5a122 -4523512 (base 6) to base 12 -b0598 What is 262056 (base 7) in base 6? 1013403 Convert -314242042 (base 5) to base 12. -53892a 213775 (base 12) to base 9 878648 600531 (base 7) to base 6 2100033 -26d204 (base 14) to base 16 -147b04 5b600 (base 12) to base 14 33052 -c7272 (base 13) to base 4 -1113202032 -2003012 (base 4) to base 8 -20306 -75d06 (base 16) to base 3 -220111221211 127170 (base 8) to base 15 d379 -500402411 (base 6) to base 5 -4124223032 Convert -362088 (base 11) to base 7. -4606522 Convert 20000021 (base 3) to base 11. 3323 Convert -4398c (base 13) to base 12. -5aa60 What is 1210200 (base 6) in base 14? 19252 What is 6c5c3c (base 14) in base 12? 12a767a Convert -5dbd (base 16) to base 11. -17036 180563 (base 12) to base 11 264201 70d19 (base 16) to base 2 1110000110100011001 -4a238 (base 11) to base 3 -10122222111 Convert 206133 (base 7) to base 8. 105641 What is 111000000000111111000 (base 2) in base 6? 103201424 -101433312 (base 5) to base 9 -711548 -110100111011000011000 (base 2) to base 8 -6473030 What is 13143333 (base 5) in base 9? 218738 What is 1455346 (base 8) in base 10? 416486 What is -767c59 (base 16) in base 11? -4424025 221055 (base 7) to base 10 38799 123043353 (base 6) to base 15 321bd9 Convert -2113311202 (base 4) to base 10. -621922 202201200012020 (base 3) to base 12 3833050 Convert 450361 (base 7) to base 3. 11000221121 What is -394668 (base 13) in base 5? -323141231 What is -1481d (base 15) in base 16? -101a1 Convert 1d8c133 (base 14) to base 15. 1488730 What is -38937aa (base 11) in base 4? -121231131230 -1223014302 (base 5) to base 7 -33656434 -3122601 (base 7) to base 8 -1335361 Convert 2bb570 (base 12) to base 5. 142324242 -131303320031 (base 4) to base 14 -1075ca9 -fa183 (base 16) to base 13 -29b360 Convert -10010110110000110110010 (base 2) to base 4. -102312012302 34464 (base 14) to base 6 2420224 What is 22320113 (base 4) in base 12? 2195b 3852357 (base 9) to base 11 1205799 -1021230113 (base 5) to base 14 -3d7566 -2add4 (base 14) to base 4 -122013332 What is 20410414 (base 5) in base 3? 22121111012 What is -313141121 (base 5) in base 3? -2110011220201 Convert 275901 (base 11) to base 6. 13133314 -c2ffa (base 16) to base 14 -16b110 Convert 11312310113 (base 4) to base 6. 52523355 2a51863 (base 12) to base 3 121010020121110 What is 1222133331 (base 4) in base 9? 734340 Convert -437883 (base 9) to base 8. -777111 Convert -1418335 (base 12) to base 14. -76797b 243305 (base 6) to base 8 51771 What is -10033110322 (base 4) in base 10? -1111354 -25006 (base 8) to base 2 -10101000000110 What is -33aa0a (base 12) in base 14? -177786 -4306 (base 11) to base 5 -140233 -100110111011101011010 (base 2) to base 8 -4673532 -16c239 (base 13) to base 11 -359895 What is -27751 (base 14) in base 3? -11221201111 Convert d8b48 (base 14) to base 2. 1111111110100111100 Convert 348d5a (base 15) to base 9. 4645844 377961 (base 10) to base 16 5c469 -4396 (base 15) to base 10 -14316 Convert -684d (base 15) to base 16. -566b What is -54951 (base 11) in base 5? -10022144 -106636 (base 11) to base 6 -3350042 Convert 11111111110110110 (base 2) to base 16. 1ffb6 Convert -239225 (base 10) to base 4. -322121321 144535 (base 10) to base 9 240234 5737 (base 16) to base 7 122044 -97c43b (base 15) to base 10 -7230206 What is 21022220200022 (base 3) in base 2? 1110110111000011110101 -6bc76 (base 16) to base 15 -8ac0c What is 1a3138 (base 11) in base 10? 311616 What is 14033332 (base 5) in base 13? 500c6 What is -156062140 (base 7) in base 14? -15a03c7 127163 (base 9) to base 11 53185 What is -65286 (base 14) in base 7? -2036326 369a8 (base 16) to base 6 4443240 Convert -6005087 (base 9) to base 8. -14133062 -784bc6 (base 15) to base 8 -25704522 -1034321021 (base 5) to base 16 -227f19 Convert 101001010101101011 (base 2) to base 8. 512553 -23200010 (base 5) to base 10 -209380 -2004000214 (base 5) to base 10 -3968809 What is 1211021121022 (base 3) in base 15? 142625 -4970b (base 16) to base 9 -507564 Convert 22422554 (base 7) to base 13. 536042 -12422521 (base 6) to base 10 -407569 Convert 722c4 (base 16) to base 5. 104431102 89a26 (base 11) to base 3 20121210121 Convert 2062404 (base 8) to base 3. 1000221122212 What is 10120110 (base 5) in base 6? 1434030 Convert 101110100010001001 (base 2) to base 12. 92375 -6107bd (base 15) to base 2 -10001100101001001110100 Convert 11201102111222 (base 3) to base 11. 1463445 -244350 (base 6) to base 7 -120243 What is -1552520 (base 6) in base 11? -63669 Convert 11111100101100011 (base 2) to base 10. 129379 What is 55a320 (base 11) in base 6? 31042203 1212001 (base 4) to base 14 2545 What is -12012111202111 (base 3) in base 16? -2a3352 What is -344a90 (base 11) in base 7? -4442455 101100010000101110 (base 2) to base 8 542056 1021201002201 (base 3) to base 9 1251081 Convert -13666992 (base 10) to base 2. -110100001000101010110000 What is -1b5572 (base 13) in base 4? -2222100223 Convert -69c3d (base 15) to base 13. -ba451 -17335 (base 8) to base 7 -32015 What is -6143517 (base 8) in base 9? -3044488 10002210112111 (base 3) to base 4 12102223231 What is -100110100111101100101 (base 2) in base 3? -2101021221201 What is -734c3 (base 16) in base 14? -c416b 1a43d (base 14) to base 15 14b65 Convert 101220102010 (base 3) to base 4. 310121202 What is -679047 (base 13) in base 12? -9a0479 1010100022101 (base 3) to base 14 117949 Convert -23325241 (base 6) to base 8. -2613631 What is -304440444 (base 5) in base 2? -100110001000011011011 Convert 64807 (base 9) to base 4. 22132321 -241143110 (base 5) to base 2 -100010000010100001101 What is 205311 (base 6) in base 16? 416b -82553 (base 9) to base 4 -31101333 What is -547520 (base 13) in base 16? -1e518f -16464445 (base 8) to base 13 -a404bc -a085b5 (base 12) to base 7 -30163244 Convert 1103204144 (base 5) to base 15. 325534 Convert -200036
{ "pile_set_name": "DM Mathematics" }
Let s = 2.2 + -1.7. Let j = -9 - -8.9. Let t be (-1)/(-5)*(-4 - -1). Put j, t, s in decreasing order. s, j, t Suppose -2*w = 5*h - w - 12, 5*h - 3*w - 4 = 0. Suppose -h*f + 6 = -5*f. Sort f, 2, -0.4. f, -0.4, 2 Suppose -15 = 6*t - 3. Put 2/15, t, 0, 0.04 in increasing order. t, 0, 0.04, 2/15 Let j be -2*4*4/(-8). Put -1, j, 2 in decreasing order. j, 2, -1 Let s = -0.2 - 0.8. Let g = 40 - 44.8. Let a = 0.8 + g. Sort a, 2, s in ascending order. a, s, 2 Suppose 10 = 2*h + 3*h. Let w(m) = -m**3 + 4*m**2 - 2*m - 1. Let o be w(3). Let s = o - -1. Sort h, s, 4 in ascending order. h, s, 4 Suppose 0 = s - 2*s - 3. Let a(c) = -c**3 + 5*c**2 - 3*c + 1. Let r be a(4). Put -1, r, s in ascending order. s, -1, r Let v = -1.99 - 0.01. Let t = 41/10 - 8/5. Let g = 7869/17 + -463. Sort v, t, g in increasing order. v, g, t Suppose 18 = 5*z - 2. Put 3, -1, z in descending order. z, 3, -1 Let w be 2*1*(-8)/(-36). Put w, 1, 5 in increasing order. w, 1, 5 Let o = -12/11 - -178/143. Sort o, -0.4, -4/3. -4/3, -0.4, o Let k be (2/4)/((-2)/(-1428)). Let j = 4648/13 - k. Let b = 88/91 - j. Sort -0.2, b, 4 in increasing order. -0.2, b, 4 Let r = 0 + 1. Suppose -3*x + 2*l = 43, 5*l + 16 = -2*x - 0*x. Let n be 2/(-3 - x)*-6. Sort 3/7, r, n in decreasing order. r, 3/7, n Let r = 6 - 5. Suppose -3 = 2*l + r. Let x be 1*(-2)/3*-6. Put l, -4, x in descending order. x, l, -4 Let r be (6/(-4))/(6/12). Suppose j - 5*q = -3*j + 6, -5*q - 9 = -j. Let f = j - 3. Sort -1, f, r. f, r, -1 Let w(t) = t**3 - 3*t**2 - 3*t - 5. Let x be w(4). Let c = -9 + 13. Sort x, c, 5 in descending order. 5, c, x Let w be (1 - 1) + -2 + 0. Sort -1, 2, w in increasing order. w, -1, 2 Suppose g = -3 + 6, o = 3*g - 7. Let n = 2.6 + -12.6. Let x = n + 5. Put -2/15, o, x in descending order. o, -2/15, x Let n be (-15)/21*(-3 + -4). Put n, -4, 0 in ascending order. -4, 0, n Suppose -t - 20 = -6*h + h, 3*h - 40 = -5*t. Suppose 9*z = 13*z + 12. Sort z, -2, h. z, -2, h Let h = 4.655 - 0.055. Let x = 5 - h. Let i = 8/21 - 2/3. Sort i, x, -2/17 in descending order. x, -2/17, i Suppose -3*h - 1 = -q + 11, 0 = -2*q + 3*h + 18. Let i be ((-36)/48)/((-30)/16). Put q, -1, i in increasing order. -1, i, q Let g = -31 - -34. Sort 2/7, g, -3/2. -3/2, 2/7, g Let u be -1 + (550/(-7) - 0). Let a = 80 + u. Sort a, 5, -3. -3, a, 5 Let q = -92.7 - -92. Put q, 1/3, 2 in descending order. 2, 1/3, q Let d be 1 + 0/((-4)/2). Put d, 2, 5 in descending order. 5, 2, d Let u(x) = -x - 2. Let j be u(-4). Let q(n) = n**3 - 3*n**2 - n + 1. Let t be q(j). Suppose -k + 2*k + 9 = 2*y, 4*y = 4*k + 24. Put k, t, 5 in descending order. 5, k, t Let i be 160/(-48)*6/(-4). Let v be (-70)/(-15) - 4/6. Sort i, 6, v in descending order. 6, i, v Let j = 9 - 9. Suppose -3*f + 6*f = -39. Let m be 1/(-3) - f/3. Put m, j, 5 in decreasing order. 5, m, j Let h be (-5 - -6 - 3)*3/(-4). Sort -0.4, h, 3/4 in descending order. h, 3/4, -0.4 Suppose j = 25 - 3. Suppose 0 = -4*d - 3*v + j, 2*d + 3*v = 7*v. Sort 5, 0, d in decreasing order. 5, d, 0 Let s = -49 + 45. Sort 5, -2, -1, s in ascending order. s, -2, -1, 5 Let a = 5 - 3. Let i be 20*(a - (-9)/6). Let y be 18/i + (-6)/15. Put -1, 0, y in increasing order. -1, y, 0 Let l = 114 - 118. Sort l, 0, -0.3, 5 in descending order. 5, 0, -0.3, l Suppose 342 = 6*q + 126. Sort q, -2, 3. -2, 3, q Let y = -1.5 + 2. Let u be 1/(6/(-24)*1). Sort 4/3, u, y in descending order. 4/3, y, u Suppose 0*z - 4 = z, 0 = 5*y - 4*z - 16. Put -4, -6, y in decreasing order. y, -4, -6 Suppose -7 = -2*j + 3. Sort j, -4, -2 in decreasing order. j, -2, -4 Let v(i) = -i - 4. Let z be v(11). Let d be -4 + z/(-1) - 3. Put -5, d, -2 in ascending order. -5, -2, d Suppose 5*j + n = 2*n - 18, 0 = -j + 3*n + 2. Let f = -46 - -44. Put 3, f, j in ascending order. j, f, 3 Suppose 0 = 4*c + j - 13, -2*c + c - 5*j = 11. Let n = c + -15. Let l = n - -7. Sort 0, l, 1. l, 0, 1 Let s = -3 + -5. Let o = -3 - s. Put o, -2/9, -5 in ascending order. -5, -2/9, o Let t be (0/1)/1*1. Suppose t*k = 2*k + 8. Put 3, 0, k in ascending order. k, 0, 3 Suppose -l + 6*l - 40 = 0. Suppose -f - l = f. Put -2, -1, f in descending order. -1, -2, f Let b = 8 - -9. Let g = b + -15. Sort 4/5, -1, g. -1, 4/5, g Let u(v) = -v**2 - 6*v + 2. Let o be u(-6). Let g be o*(3 + -2) + -1. Put 5, g, -3 in increasing order. -3, g, 5 Let b = 4 - 4. Suppose b = 5*z - 9 + 4. Put -5, 2, z in decreasing order. 2, z, -5 Let g(h) = 5*h + 5. Let r be g(-5). Let z be -4*(3 - (-58)/r). Sort z, 3/8, 1 in descending order. 1, 3/8, z Suppose 2*g - 6 - 4 = 0. Let j(f) = -f**3 + 5*f**2 - 6*f + 2. Let i be j(g). Let w be 2/(-8)*i/35. Put 1/6, 0.5, w in descending order. 0.5, w, 1/6 Suppose r - 2 = -3. Let p = 3 + -1. Suppose -5*q + 1 = -p*k, 0*q - 5*q + 4 = -3*k. Put k, r, 2 in decreasing order. 2, r, k Let s(m) = 4*m + 10. Let j be s(-2). Sort 1, -2, 0, j in decreasing order. j, 1, 0, -2 Suppose 11 = 4*f - m, -5*f - m - 2 = 3*m. Suppose f*d = d. Put -5, d, 3 in descending order. 3, d, -5 Let a = 12 - 11.77. Let y = 0.07 + a. Put 4, -3, y in ascending order. -3, y, 4 Let v = -14.28 + 14. Let n = 0.02 - v. Sort -0.1, n, 0.2 in descending order. n, 0.2, -0.1 Let r = -12 + 8. Suppose -5 = 3*m + 2*m. Sort r, 0, m in descending order. 0, m, r Let q(w) = -5*w**3 - w**2 + 2*w - 1. Let l be q(1). Sort -1, 4, l in decreasing order. 4, -1, l Let h = -1 + 1.5. Let x = 0.7 - h. Let u be (-3)/(-4) + (-1 - 0). Sort 0.1, x, u in increasing order. u, 0.1, x Let n be (-3)/(-9) - (-20)/3. Let h = -23 + 11. Let b = n + h. Sort b, -2, -4. b, -4, -2 Let q = 0.37 + 0.13. Put 1/9, 2/13, q, 2/5 in increasing order. 1/9, 2/13, 2/5, q Let g(k) = -k + 3. Let c be g(2). Let z be -1*(c + 0/3). Put z, -3, -5 in increasing order. -5, -3, z Let p(t) = t + 11. Let o be p(-7). Suppose -124 - 1 = 5*l. Let d = -22 - l. Sort o, 0, d. 0, d, o Let h be (-4)/16*0 - 6. Sort h, 2, 5 in descending order. 5, 2, h Suppose -12 = 4*v, -c + 2*v = -3*c + 90. Put c, 2/3, -5 in ascending order. -5, 2/3, c Let m = 3.6 - 3.53. Sort m, 3, 0.3, 0 in decreasing order. 3, 0.3, m, 0 Suppose 4*a = 3*o + 3, -4*o + 4*a = -3*o - 7. Put o, -1, 15 in decreasing order. 15, -1, o Suppose 0 = 3*b + 2*b. Suppose b = 2*p + 2*p. Sort p, 3, -2 in decreasing order. 3, p, -2 Let j(f) = -f - 7. Let c be j(-6). Sort -2, -5, c in increasing order. -5, -2, c Let w = -58 + 53. Suppose 4*d + 0*d + 16 = 0. Sort w, d, -1 in decreasing order. -1, d, w Let q = 6 - 1. Let o = 4.8 - 4.3. Put 0, q, o in descending order. q, o, 0 Let k = -18 + 22. Put k, -16, -1 in ascending order. -16, -1, k Suppose 0 = 4*q - 9*q. Put -1, 1, q in decreasing order. 1, q, -1 Let p = -18 + 22. Put -2, -0.5, p, 1 in descending order. p, 1, -0.5, -2 Let q(u) = u. Let y be q(3). Let w(o) = 0*o**2 - o**3 + 1 + 0*o**2 - 5. Let k be w(0). Sort y, 4, k. k, y, 4 Suppose 0 = -4*w + 2 - 74. Let s = w - -13. Suppose 6*i - i = 0. Put s, 5, i in increasing order. s, i, 5 Let d = -38 - -34. Sort -7, d, -5, 3 in decreasing order. 3, d, -5, -7 Suppose -3*q + 3 = -15. Let n(c) = c**3 - 5*c**2 - 6*c + 5. Let z be n(q). Sort -2, z, 2 in descending order. z, 2, -2 Suppose 0 = 2*y - 5 + 1. Suppose -i + 4*j + 9 = -5, 5*i + 4*j = 70. Suppose -y + i = 4*k. Sort -5, -1, k in decreasing order. k, -1, -5 Let a = 74 + -79. Put -0.1, -1.1, a in ascending order. a, -1.1, -0.1 Let k = 4.1 - 0.1. Let l(a) = -a**2 - 4*a + 7. Let y be l(-5). Sort k, y, 0 in decreasing order. k, y, 0 Suppose -5*l + 4 + 1 = 0. Sort l, -16, 4, 0. -16, 0, l, 4 Suppose j + 2 = b + 4, -4*j = -b - 17. Let k be ((-4)/(-42))/((-3)/(-9)). Put 1, b, k in descending order. b, 1, k Let p = -13 - -16. Suppose 0*m = -p*a - m + 8, 5*m = -4*a + 18. Put 0.1, a, 2/5 in ascending order. 0.1, 2/5, a Suppose -5*i = -3*b - 34, -7*b + 2*b + 5 = 4*i. Let o(v) = -2*v + 8. Let p be o(6). Put i, p, 3 in ascending order. p, 3, i Let p be ((-6)/8)/(8/(160/(-6))). Sort 24, 1/5, p in decreasing order. 24, p, 1/5 Let a = -3 + 3.5. Let g = 0.01 + 0.39. Put a, g, 3 in decreasing order. 3, a, g Suppose -7*m + 6*m + 15 = 0. Sort 5, -3, m in descending order. m, 5, -3 Let x = -3.2 + 3. Let z = x + 0.5. Sort 1/2, -0.4, z in decreasing order. 1/2, z, -0.4 Let r = 12 + -8. Let t(g) = -g + 2. Let q be t(3). Let k be ((-1 - -2) + -1)*q. Sort 1/8, r, k. k, 1/8, r Let j(c) = -c**3 - 6*c**2 - 2*c -
{ "pile_set_name": "DM Mathematics" }
+ 0 = 0. What is z? -1, 0, 2/3, 1 Let u = -4428/17 - -262. Factor 24/17*m + 12/17*m**3 + 8/17 + u*m**2 + 2/17*m**4. 2*(m + 1)**2*(m + 2)**2/17 Let s = -1 + 3. Let k = 5 - 1. Suppose -k - s - 2 + 3*n**2 - 2*n**3 - 13*n**2 - 16*n = 0. Calculate n. -2, -1 Let u(n) be the second derivative of n**10/10080 - n**9/840 + n**8/448 + n**4/6 - 35*n**3/6 - 3*n - 8. Let j(v) be the third derivative of u(v). Factor j(d). 3*d**3*(d - 5)*(d - 1) Factor 12/5*h**2 + 2/5*h**3 + 24/5*h + 16/5. 2*(h + 2)**3/5 Let n(i) = i + 1. Let r be n(7). Let p = 0 + -5. Let v(l) = 7*l**2 - 9*l - 5. Let t(w) = 11*w**2 - 14*w - 8. Let u(h) = p*t(h) + r*v(h). Factor u(m). m*(m - 2) Let r(o) be the first derivative of -15*o**6/4 + 47*o**5/2 - 365*o**4/8 + 205*o**3/6 - 15*o**2/2 + 36. What is n in r(n) = 0? 0, 2/9, 1, 3 Let x = -2 - -12. Let d be 1*(x + 0 + 2). Determine h so that 12*h**2 + h**5 + d*h**4 - 8*h + 12*h**2 - 26*h**3 - 3*h**5 = 0. 0, 1, 2 Let q(o) be the second derivative of 1/30*o**5 + 0 - 2/9*o**4 + 2/45*o**6 + 2/3*o**2 - 1/126*o**7 - 1/18*o**3 - 29*o. Let q(a) = 0. Calculate a. -1, 1, 4 Let h(z) be the first derivative of z**4/96 + 3*z**3/8 + 81*z**2/16 + 8*z - 15. Let n(u) be the first derivative of h(u). Factor n(j). (j + 9)**2/8 Let v(q) be the third derivative of 1/1680*q**7 - 20*q**2 - 1/120*q**5 + 0*q**3 + 0 + 1/2688*q**8 - 1/160*q**6 + 0*q + 1/24*q**4. Factor v(z). z*(z - 2)*(z - 1)*(z + 2)**2/8 Let c be -1 + (-2)/(288/(-184)) + (-4)/(-18). Let i = 3833/1700 + -2/425. Factor i*n**2 + 7/4*n - c. (n + 1)*(9*n - 2)/4 Let r(n) be the third derivative of 3/40*n**4 + 0*n - 1/200*n**6 + 0*n**3 - 1/50*n**5 + 0 + 14*n**2. Factor r(d). -3*d*(d - 1)*(d + 3)/5 Suppose -5*w + 10 = 5*z, -7*w + 4*w - 2*z + 9 = 0. Let m(b) be the first derivative of w + 0*b**4 - 1/3*b**3 + 1/2*b + 0*b**2 + 1/10*b**5. Factor m(i). (i - 1)**2*(i + 1)**2/2 Let n be (-2 - 1)*14/(-56). Let d be 1/(-3) - 117/(-108). Factor -3/4*y**4 - d*y**5 + 3/2*y**3 - 3/4*y - n + 3/2*y**2. -3*(y - 1)**2*(y + 1)**3/4 Let j(d) be the third derivative of -d**9/7560 - d**8/1680 - d**7/1260 + 11*d**4/24 + 12*d**2. Let z(u) be the second derivative of j(u). Factor z(x). -2*x**2*(x + 1)**2 Suppose 5*c - 23 + 19 = 3*w, -2*w - 3*c = -10. Factor 4*g + 10 + 2/5*g**w. 2*(g + 5)**2/5 Factor -1 - 10*g**3 - 1 + 3*g**4 + 54*g - g**4 - 6 - 2*g**2 + 2*g**5 - 38*g. 2*(g - 1)**3*(g + 2)**2 Suppose -7*w + 8 = -3*w. Factor 2*t**3 + 6*t - 1 - t**w - 1 - 7*t**2 + 2*t**2. 2*(t - 1)**3 What is y in 180 + 5/2*y**2 - 365/2*y = 0? 1, 72 Let b(k) be the first derivative of 3/20*k**4 + 0*k**2 - 16 + 3/25*k**5 - 1/5*k**3 - 1/10*k**6 + 0*k. Factor b(n). -3*n**2*(n - 1)**2*(n + 1)/5 Let r be (-6)/(42/(-25)) - (1 - -2). Suppose -8/7*h**2 - 2/7*h**5 - 8/7*h + 0 + 6/7*h**3 + r*h**4 = 0. Calculate h. -1, 0, 2 Suppose 2*x + 3*m + 15 = 0, 2*x + 0 = 3*m + 15. Let g(f) be the third derivative of 0 + 2*f**2 + x*f - 1/150*f**5 + 0*f**4 + 4/15*f**3. What is j in g(j) = 0? -2, 2 What is i in 0 + 24/5*i**3 - 4/5*i**4 + 32/5*i + 12*i**2 = 0? -1, 0, 8 Let r(b) be the first derivative of -b**3/7 + 3*b**2/7 - 60. Factor r(v). -3*v*(v - 2)/7 Let y = 1634/5380339 - -956939016832/62029928331. Let w = y - -2/1647. What is k in -3/7*k**2 + 0 + w*k**5 - 6/7*k**3 + 45/7*k**4 + 0*k = 0? -1/3, 0, 1/4 Determine p so that -6*p - 80*p**2 + 58*p + 9*p**4 - 16*p**4 - 4*p + 3*p**4 + 36*p**3 = 0. 0, 1, 2, 6 Let u be ((-15)/12 + 2)*(6 - 2). Suppose 0 = 2*b - 1 - 5. Find s, given that -s**b + s**3 + 24*s**2 - u*s**3 - 30*s**2 = 0. -2, 0 Let h(p) be the first derivative of -1 - p**3 + 0*p + 3/4*p**4 - 3/2*p**2 + 3/5*p**5. Determine y, given that h(y) = 0. -1, 0, 1 Factor 8 - 12*t**3 - 2*t**2 - 4*t**3 - 4*t**5 + 10*t**2 - 16*t**4 - 85*t + 105*t. -4*(t - 1)*(t + 1)**3*(t + 2) Solve a**3 - 20*a**2 + 5*a**3 - 10 - a**3 + 25*a = 0. 1, 2 Factor 18*q**2 + 8*q**4 - 270*q**5 + 6*q**4 - 30*q**3 + 268*q**5. -2*q**2*(q - 3)**2*(q - 1) Factor -111 + 39*m + 331*m + 5*m**2 + 31 - 50*m**2. -5*(m - 8)*(9*m - 2) Let z = 158 - 154. Let k(x) be the third derivative of -6*x**2 + 0 + 0*x**z + 0*x + 1/360*x**5 + 0*x**3. What is s in k(s) = 0? 0 Suppose -3*h + 5*q = -104, -5*q = -2*h + 105 - 29. Suppose -h = -10*s - 8. What is i in -2/3*i**s - 2/3*i + 0 = 0? -1, 0 Let a(v) be the third derivative of v**7/5040 + v**6/1440 - v**5/120 + 7*v**4/12 - 11*v**2. Let r(m) be the second derivative of a(m). Factor r(p). (p - 1)*(p + 2)/2 Let i(u) = u**2 + 19*u + 38. Let f be i(-2). Suppose 3*k = -3*o, -f*o - 6 = -2*o. Let 1/2*s**2 + 0 + 0*s - 1/2*s**k = 0. What is s? 0, 1 Let g be (33/(-3))/(-33) + 3/45. Solve -g*w**2 + 4/5 + 2/5*w = 0. -1, 2 Factor 0*s**2 + 0*s + 2/11*s**5 - 32/11*s**3 + 12/11*s**4 + 0. 2*s**3*(s - 2)*(s + 8)/11 Let r be (-3 - 3) + -2 + 5*2. Let z(k) be the third derivative of 13*k**r + 0*k**3 + 0*k**4 - 1/120*k**6 - 1/60*k**5 + 0 + 0*k. Factor z(h). -h**2*(h + 1) Let n(g) be the third derivative of 0*g**3 + 0 + 8/15*g**5 + 2/3*g**4 + 0*g - 7*g**2 - 7/30*g**6 - 2/21*g**7. What is p in n(p) = 0? -2, -2/5, 0, 1 Let 841/3 + 58/3*z + 1/3*z**2 = 0. Calculate z. -29 Let f be 2 - (12 + 143/(-11)). Determine y, given that 3/5*y**2 + 18/5 - f*y = 0. 2, 3 What is w in -180*w - 33*w**3 - 60*w**3 - 58*w**3 + 36*w**3 + 228*w**2 + 48 + 21*w**4 - 2*w**3 = 0? 4/7, 1, 2 Let l(g) be the second derivative of 7*g**4/24 - 167*g**3/6 - 24*g**2 + 62*g. Determine r so that l(r) = 0. -2/7, 48 Let 8773 - 148*f**3 - 17547 + 8774 + 4*f**4 = 0. What is f? 0, 37 Factor -204*v - 39*v - 3021 + 2697 - 3*v**3 - 54*v**2. -3*(v + 3)**2*(v + 12) Let v(z) = 6*z**2 - 54*z + 90. Let g(w) = -5*w**2 + 53*w - 90. Let s(b) = -3*g(b) - 2*v(b). Factor s(r). 3*(r - 15)*(r - 2) Let x(o) be the first derivative of 24/5*o**2 + 12 - 7/5*o**3 - 12/5*o. Factor x(k). -3*(k - 2)*(7*k - 2)/5 Let i be (27/(-10) - -3)*-2*-5. Determine z, given that -z**3 - 4*z**4 + 52*z - i*z**3 - 2*z**3 + 2*z**3 + 24 + 28*z**2 = 0. -2, -1, 3 Let q(u) be the second derivative of u**4/42 - 6*u**3/7 + 17*u**2/7 + 818*u. Factor q(j). 2*(j - 17)*(j - 1)/7 Let x(k) be the second derivative of -1/4*k**4 + 6/5*k**5 + 0 + 0*k**2 - k**3 - 1/2*k**6 + 15*k. Factor x(u). -3*u*(u - 1)**2*(5*u + 2) Suppose -2*h = 13 - 97. What is q in 10*q**3 - 7*q**2 + h*q**4 - 6*q + 4 - 15*q**2 + 0*q + 20*q**5 = 0? -1, 2/5, 1/2 Suppose -132*m = -140*m + 64. Let p(u) be the first derivative of -2/9*u**3 - m + 4/9*u - 5/9*u**2. Solve p(g) = 0 for g. -2, 1/3 Let q(w) = w**2 + 4*w + 2. Let c be q(-4). Suppose 3*u - r + c*r = 1, 4*u + r - 3 = 0. Factor -2*x**2 - 5*x**2 + 3*x**u. -4*x**2 Let y(l) = -4*l**3 - 3*l**2 - 6*l + 2. Suppose 2*v + 3 = v. Let p(b) = -b**3 - b + 1. Let w(f) = f - 5. Let s be w(6). Let h(d) = s*y(d) + v*p(d). Factor h(o). -(o + 1)**3 Suppose -3*d + 2 + 13 = 0. Find n, given that -15*n**2 + 20 - d*n - 11*n + 11*n**2 = 0. -5, 1 Let w(l) be the first derivative of 3*l**5/5 + 3*l**4/2 - 3*l**3 - 12*l**2 - 12*l - 148. Factor w(j). 3*(j - 2)*(j + 1)**2*(j + 2) Let q(o) = 3*o - 9. Let c be q(4). Let r(f) be the first derivative of -9 - 3/2*f**2 + 4/5*f**c - 3/20*f**4 + 6/5*f. Factor r(v). -3*(v - 2)*(v - 1)**2/5 Let d = 6 - 4. Let s be (-2 - -8) + (-8 - -4). Factor 8*z + 4*z**s + 2*z - d*z. 4*z*(z + 2) Let s(f) = f**2 - 1. Suppose 3*g = 2*m + 9, -4*g - 8 = -2*m + 6*m. Let j be s(g). Factor j*c**3 - 2*c**4 - 3*c**5 - 3*c**3 - 4*c**4. -3*c**3*(c + 1)**2 Let a(s) be the third derivative of -1/12*s**6 + 1/3*s**4 - 1/105*s**7 + 8/3*s**3 + 0*s + s**2 + 0 - 1/5*s**5. Determine q so that a(q) = 0. -2, 1 Let n(w) be the first derivative of -2/27*w**3 - 17 + 8/9*w + 0*w**2. Factor n(l). -2*(l - 2)*(l + 2)/9 Factor 4*p**4 + 2477 + 272*p - 9*p**3 - 264*p**2 + 89*p**3 - 2569. 4*(p - 1)**3*(p + 23) Let d = 6182 + -6175. Solve d*k + 49/2 + 1/2*k**2 = 0. -7 Suppose 2*z = -4*v + 5*v - 21, 3*v - z = 43. Suppose -a + 3 - 1 = 0. Suppose 2 - l**2 + 4*l**4 + 7*l + a*l**4 - v*l**3 - l**2 + 0 = 0. Calculate l. -1/2, -1/3, 1, 2 Let m = -1/951 - -22831/6657. Let u(d) = 9*d**2 + 98*d - 8. Let y be u(-11). Determine q, given that 16*q - 110/7*q**2 - 50/7*q**y - m = 0. -3, 2/5 Let g be (-1 - -4 - 3)/(-7). Let m(z) be the third derivative of 1/144*z**4 + 0*z**3 + 1/360*z**5 + z**2 + 0 + g*z. Let m(a) = 0. What is a? -1, 0 Let y be 3*3/((-45)/(-10)). Factor 3 + o**y + o - 3. o*(o + 1) Let g(h) be the third deriva
{ "pile_set_name": "DM Mathematics" }
g, -4, w in decreasing order. w, g, -4 Suppose 5*m + 17 + 3 = 5*q, 0 = -5*m - 3*q - 12. Sort -2, m, -18 in ascending order. -18, m, -2 Suppose 5*i = -4*k + 2*k - 187, -k = -4*i - 147. Let b = i - -43. Let w be (-1 - -3) + -1 + 0. Sort b, 5, w in descending order. b, 5, w Suppose 0 = 2*j - 67*j + 195. Sort j, 5, -21 in increasing order. -21, j, 5 Let m(b) = b**3 - 10*b**2 + 11*b - 3. Let k be m(9). Let v(j) = j**2 - 11*j - 25. Let c be v(k). Sort 0, -1, c, -2 in decreasing order. c, 0, -1, -2 Let x(r) = -r + 3. Let y be x(3). Let p = 1 - y. Let b(a) = 4*a + 19. Let k be b(-5). Put k, p, 2 in increasing order. k, p, 2 Let n = -74.131 - -0.131. Let u = 74.3 + n. Sort u, -1/3, -3/2 in decreasing order. u, -1/3, -3/2 Let z be 35/(-20) - (-3)/(-12). Sort z, -4, -31, -5. -31, -5, -4, z Let a = 62 - 57. Suppose a*x - b - 2*b = -30, -5*b = -25. Put 0.5, x, 2, 5/4 in increasing order. x, 0.5, 5/4, 2 Let s = -158 + 159. Put 4, s, -3, -2/7 in decreasing order. 4, s, -2/7, -3 Let t(z) = 2*z**2 - 28*z - 76. Let r be t(16). Sort 7, r, -4, -2. r, -4, -2, 7 Let q = -3 + 0. Let d be (-4)/(-6) + 20*13/1950. Sort d, q, -2/9. q, -2/9, d Suppose -9 = 4*t + 3. Let x = 73 - 77. Sort 0, x, 5, t in ascending order. x, t, 0, 5 Let l = -257 - -249. Put 2, -6, -4, l in decreasing order. 2, -4, -6, l Suppose -5*q - 9 - 31 = -4*b, -50 = -5*b - 2*q. Suppose -6 = -b*l - 6. Put -5, -2, -3, l in ascending order. -5, -3, -2, l Let g = -89.872 + 90. Let w = g + -0.628. Put 1/3, 0.02, w, 0 in decreasing order. 1/3, 0.02, 0, w Let u = -1443 + 1443. Sort 1, -8, -7, u in ascending order. -8, -7, u, 1 Let q be (-2 - -2)/((-2)/(-2)). Suppose 3*p - 7 = 2*h - q*h, 4*p - 3*h = 11. Suppose 23 = d - 4*d + 2*j, -4*d + j - 24 = 0. Sort d, 4, p in decreasing order. 4, p, d Let k = 21 + -18. Let w be k + 0/3 + -1. Let v be w/((-40*1)/(-4)). Sort v, -0.2, -0.04. -0.2, -0.04, v Suppose 0 = -4*f - 2*t - 18, 0 = -5*f + 3*t - 0 + 5. Sort -4, 3, -3, f in ascending order. -4, -3, f, 3 Let v = 10759/6 + -1789. Sort -3, 1, 0.3, v in descending order. v, 1, 0.3, -3 Let q = 4.7 + -4.252. Let s = q - 0.048. Let i be (-1)/6*(-2 - 2). Put i, s, -1/7 in increasing order. -1/7, s, i Let t(u) = -u - 11. Let d be t(-6). Let l(q) = 2*q**2 - 4*q - 1. Let m be l(3). Suppose 2*r - 4*k + 4 = -0*k, m*k = 4*r + 2. Put -2/7, r, d in decreasing order. r, -2/7, d Let d = -242 + 415/2. Let r = 43915/126 - 3446/9. Let q = d - r. Sort -0.5, 1, q. -0.5, q, 1 Let t = 13 - 13.4. Put -2, t, -0.2 in increasing order. -2, t, -0.2 Let u be 33/(-4) - ((-116)/16)/29. Put -1, u, 1 in decreasing order. 1, -1, u Let q(v) = 25*v + 108. Let h be q(-4). Put h, 1, -9 in increasing order. -9, 1, h Let t = -15 - -11. Let m be (-1)/(-3) - t/(-36). Let j = -1.2 + -0.8. Sort m, -2/3, j. j, -2/3, m Let b(a) = a - 3. Let y be b(-4). Let q be (-6)/(-24)*(2 + (3 - 1)). Sort q, y, 4 in ascending order. y, q, 4 Let z = 526 + -523. Sort -1, 4, 34, z in descending order. 34, 4, z, -1 Let x be 43/9 + 14/63. Suppose 2*p - h = -5, -2*p = p - x*h + 18. Suppose 10 + 5 = 5*t. Sort t, p, 4 in ascending order. p, t, 4 Let n = 6 + -9. Let m(k) be the first derivative of -3*k**4/2 - k + 1. Let d be m(-1). Put -5, d, n in increasing order. -5, n, d Let o(y) = -2*y**2 - 13*y - 18. Let t be o(-4). Sort t, -2, -11 in ascending order. -11, -2, t Let a = -1.17 + -7.83. Let k = a - -9. Sort -3, 2, -1, k. -3, -1, k, 2 Let h be -8 - 3*(-73)/27. Put -3, h, 0.4, 65 in descending order. 65, 0.4, h, -3 Suppose -y + 0*h - 2 = h, 4*h + 14 = -2*y. Sort 4, -3, 2, y in descending order. 4, y, 2, -3 Let d be 97/4 - (-5)/(-20). Let p = d + -25. Sort p, 0, 2, -3. -3, p, 0, 2 Let o = -107 - -108. Sort -3, -1.6, o. -3, -1.6, o Let w = 991 - 978. Sort 1, w, 4, 23 in descending order. 23, w, 4, 1 Let x(s) = -6 + 4*s**2 + s**3 + 5*s**2 + 2*s**3 - 2*s**3 + 7*s. Let l be x(-8). Let y = -0.6 - -0.6. Sort y, 2/17, l. y, 2/17, l Let c = 1.386 - 1.786. Let u be (-1)/3 - 4/(-84). Sort -0.2, u, c in decreasing order. -0.2, u, c Suppose -9*f - 2*f = 1507. Let l = 415/3 + f. Put l, 1, -0.07 in decreasing order. l, 1, -0.07 Let o = 42 + -39. Suppose 0 = -4*k + 2*k + 3*i - 1, 0 = -3*k + 4*i - o. Sort -1, 0.2, k in decreasing order. 0.2, -1, k Let c = -5 + 2. Let m = c - -2.7. Let t = 61/68 + -5/34. Sort t, m, -3 in increasing order. -3, m, t Let n(f) be the first derivative of -f**2/2 + 3*f + 6. Let y be n(0). Sort 0, -4, y in descending order. y, 0, -4 Suppose 28 = -2*r + 4*l, 0 = -4*r + 3*r - 3*l + 11. Let k be (1/1*0)/((-4)/(-2)). Suppose k = 4*q + 12, 5*q = 4*j + q. Put r, 0, j in increasing order. r, j, 0 Let q = 1.8 - -0.8. Let r = q - 3. Let d = -994/3 - -2984/9. Sort -4, r, d in increasing order. -4, r, d Let z = -2 - 1. Suppose -10 = 70*f - 68*f. Let d(l) = -l**2 + 2. Let j be d(-2). Put j, z, f in increasing order. f, z, j Let s = -1275 - -1187.94. Let w = -87 - s. Put 3/5, w, -5, -3 in decreasing order. 3/5, w, -3, -5 Let i = 4152/568645 - -2/2321. Let u = i - 72/245. Let p = 11/63 + u. Put 0.4, 2/3, p in decreasing order. 2/3, 0.4, p Let s = 0 - 2. Let d(o) = -15*o + 25. Let f be d(2). Sort s, -4, f. f, -4, s Suppose 679 - 989 = 155*y. Suppose 5*r - 4*r = 0. Put 4, r, 2, y in increasing order. y, r, 2, 4 Let l = -894 + 843.08. Let g = 40 + l. Let i = -0.08 + g. Put i, 2, -0.2 in increasing order. i, -0.2, 2 Let z = -2 + -3. Let w = -4.407 + 0.407. Sort z, w, 0.3, 5 in descending order. 5, 0.3, w, z Suppose -3*f - 5*g = 49, -13*g - 4 = -17*g. Sort 1, f, 3. f, 1, 3 Let k = 1.3 + -1.32. Let r be -6 + (5 - -6)/1. Put 4, r, k in descending order. r, 4, k Let l = 180 + -180.5. Let i = 0.03 + 2.97. Let d = i - 3.2. Put l, d, 2/11 in decreasing order. 2/11, d, l Let k = -12 - -17. Suppose 3 = -y - c - k, 0 = -4*y - c - 20. Let g be -7 - -8 - (-3 - -4). Sort y, -0.2, g in ascending order. y, -0.2, g Let d = 99 - 99.43. Let g = -0.73 - d. Put g, 4, -0.5, 1 in decreasing order. 4, 1, g, -0.5 Let t = -68 + 93. Let d be 1/(-5) + 55/t. Let l be (-19)/4 - (-1)/(-4). Sort l, 4, d in descending order. 4, d, l Let d = 1.66 + -1.72. Let l be (-5)/(-10) - (-7)/(-6). Sort l, -1, d in ascending order. -1, l, d Let z = -7 - -4. Let u(j) be the second derivative of j**3/3 - 3*j**2 - 12*j. Let p be u(2). Put p, z, 2 in descending order. 2, p, z Let r be (-11 - 2) + (7 + -7)/3. Sort r, 1, -4 in increasing order. r, -4, 1 Suppose -2*z + 0*z = -6. Suppose -2*l - 8*n = -5*n - 3, -5*n = -4*l - 27. Put l, -6, z, 5 in decreasing order. 5, z, l, -6 Let r be 4/2 + (-33)/24. Suppose 3*a = 4*a + 4*v + 5, 0 = 4*a - 3*v + 1. Put -1/7, a, r, 2/15 in ascending order. a, -1/7, 2/15, r Let q = -209.94 + 210. Put -2/25, -0.2, q in decreasing order. q, -2/25, -0.2 Let y(u) = u**3 + 20*u**2 + 20*u + 18. Let n be y(-19). Suppose -a = -4*a + 30. Suppose -5*g + a = 5*h, 3*g = 3*h - h + 6. Sort h, n, -4 in descending order. h, n, -4 Suppose -3*o + 4*g + 15 = 0, 4*g = -140*o + 145*o - 17. Put 3/4, 2, o, -0.5 in decreasing order. 2, o, 3/4, -0.5 Let c(d) = 5*d**3 + 5*d**2 + 8*d + 3. Let w be 1*4/(-8)*2. Let b(u) = u**3 + u**2 + u. Let l(n) = w*c(n) + 6*b(n). Let k be l(-2). Sort -1, 3, k. k, -1, 3 Let f = 21304 + -21327. Suppose -2 = -3*g + 1. Put 2/11, g, f in descending order. g, 2/11, f Let c = -0.95 + 0.45. Let x be (-17)/(-17)*(0 + -2*2). Put c, x, -53 in decreasing order. c, x, -53 Let v = -78/5 + 74/5. Let p be (-92)/(-210) + (-56)/98. Put -1, v, 4, p in ascending order. -1, v, p, 4 Suppose 4*t - 1 = 3. Suppose 8*g = 3*g + 25. Suppose g*c - 3 + 8 = 0. Sort 6, c, t in decreasing order. 6, t, c Suppose 25*f + 142 - 17 = 0. Sort -8, -2, f, 0. -8, f, -2, 0 Let c = -26.741 - -0.441. Let i = -26 - c. Sort i, 4, 5. i, 4, 5 Let h(d) = -d**2 - 2*d + 6. Let i be h(-4). Let v be (2 - -4)*i/(-4). Let b(q) = q**2 - 3*q - 2. Let z be b(4). Put -3, v, z in decreasing order. v, z, -3 Let k = 5 + -9. Suppose 0*b + 2 = -b. Let s = b - 1. Sort k, s, 1 in descending order. 1, s, k Suppose -4*y = -0*o - 3*o - 100, 4*y + 180 = -4*o. Let d = o + 38. Put -3, -24, d in decreasing order. d, -3, -24 Suppose -87*n - 128 = -103*n. Sort 2, -4, n. -4, 2, n Let q = 3127.5 - 3127. Let j = 0.1 - -0.9. Sort j, q, 18 in decreasing order. 18, j, q Let h(l) = -7*l + 9. Let g be h(2). Sort -12, g, 2 in descending order. 2, g, -12 Suppose 3*d - 68 + 44 = 0. Suppose
{ "pile_set_name": "DM Mathematics" }
*w + 6 What is the second derivative of 5168*g**2*m**2 - 7*g**2 - 4*g*m**2 - 20*g*m - 2*m**2 + 26*m wrt g? 10336*m**2 - 14 Find the second derivative of 2*b*c*d**2 + 162*b*c - 82*b*d**3 + 3*b*d**2 + 2*b*d + c*d**3 - 3*c*d - 2*c wrt d. 4*b*c - 492*b*d + 6*b + 6*c*d What is the second derivative of 220897*n**4*y - 2*n**3*y + 2328*n*y - n - 3*y wrt n? 2650764*n**2*y - 12*n*y What is the third derivative of -2079*m*q**4 + m*q**3 - 3*m - q**4 + q**3 - 259*q**2 + 11*q wrt q? -49896*m*q + 6*m - 24*q + 6 Differentiate 57754*o + 26899 with respect to o. 57754 Find the third derivative of 30*y**4 + 64*y**3 - 90509*y**2. 720*y + 384 What is the first derivative of 6306*r**3*t**2 + 26591*r**3 + 2*r*t**2 wrt t? 12612*r**3*t + 4*r*t What is the second derivative of 3*k**4 - 2*k**3 + 53*k**2 - 49748*k? 36*k**2 - 12*k + 106 What is the first derivative of 3242*u**3 + 2*u**2 - 52869 wrt u? 9726*u**2 + 4*u Find the second derivative of h**2*l*x + 15811*h**2*l + 39*h**2*x**3 - 2*h**2*x + h*x**3 + h*x + 2*h - 9*l*x**3 wrt x. 234*h**2*x + 6*h*x - 54*l*x Find the third derivative of -2*q**4*v + 6*q**4 - q**3*v - 207*q**3*w + q**2*v*w + 5*q*w - 2*v*w + 6*v - 3*w wrt q. -48*q*v + 144*q - 6*v - 1242*w Find the second derivative of -n**4 - 5*n**3 - 44*n**2 + 338*n + 5 wrt n. -12*n**2 - 30*n - 88 Find the third derivative of 2856425*h**5 + 251445*h**2. 171385500*h**2 What is the third derivative of -d**4*g**3 + 2190*d**4*g + 2*d**2 - 18*d*g**3 - 369 wrt d? -24*d*g**3 + 52560*d*g Differentiate 286550*p*u**2 + 2*p - 301860*u**2 with respect to p. 286550*u**2 + 2 Find the second derivative of -5379*i**2*q + 6*i**2 + 7*i*q + 7*i - 255*q wrt i. -10758*q + 12 What is the third derivative of 572957*n**3 - 7*n**2 - 21120*n? 3437742 What is the first derivative of -1256*t**4 - 6*t**3 - t + 14073? -5024*t**3 - 18*t**2 - 1 Differentiate -1163*s**4 + 5*s**2 - 3*s - 44467 with respect to s. -4652*s**3 + 10*s - 3 Find the second derivative of 1237523*i**2 + 594155*i. 2475046 What is the second derivative of 5*m**4 + 2*m**3 - 8145*m**2 - 17*m + 24283 wrt m? 60*m**2 + 12*m - 16290 Find the second derivative of 207*s**5 - 10*s**4 + 2*s**2 + 3390*s + 3. 4140*s**3 - 120*s**2 + 4 What is the second derivative of 25551*q**2*w**2 - 17*q*w**2 - 198*q*w wrt q? 51102*w**2 Find the first derivative of -2*c**4*o + 794*c*o - 7*c - 1280311*o wrt c. -8*c**3*o + 794*o - 7 What is the second derivative of -64*n**5*p**2 - 50*n**5 + 89970*n*p**2 wrt n? -1280*n**3*p**2 - 1000*n**3 What is the first derivative of 8*v**4 + 25919*v + 473648? 32*v**3 + 25919 Find the second derivative of -2572*v**2 + 1860*v - 11. -5144 Differentiate 353382*d*r**2 + 33*r**2 + 5166*r with respect to d. 353382*r**2 What is the second derivative of -3*z**4 + 662*z**3 - z**2 + 50617*z + 5 wrt z? -36*z**2 + 3972*z - 2 What is the first derivative of 204093*z**2 + 9*z - 2442586 wrt z? 408186*z + 9 What is the second derivative of -p**5 + 92063*p**3 - 735173*p wrt p? -20*p**3 + 552378*p Find the first derivative of 53772*m**4 - 2621 wrt m. 215088*m**3 What is the third derivative of -l**3*t**3 + 55*l**3 - 9797*l**2*t**4 - 2*t**4 - 208*t**2 wrt t? -6*l**3 - 235128*l**2*t - 48*t Find the second derivative of -71*h*m**3*x**2*y**2 - 12*h*m**2*y + h*m*y**2 - 14*h*x*y**2 + m**3*x*y**2 + 15*m**3 + 4*m**2*x - 1044*x**2*y**2 wrt x. -142*h*m**3*y**2 - 2088*y**2 Find the third derivative of -50860*s**3 - 4062*s**2. -305160 Find the second derivative of 41*r**3*u**2 - r**3*u - 134*r**3*v**2 + 10*r*u**2*v**2 - 93*r*u*v wrt u. 82*r**3 + 20*r*v**2 What is the first derivative of 18*l*n**3*r - 2*l*n*r + 9*l*r - 302*l - 559*n*r - 2*r wrt n? 54*l*n**2*r - 2*l*r - 559*r Find the second derivative of 1090022*c**4 - 937*c + 189. 13080264*c**2 Differentiate 186901*p - 155313. 186901 Find the third derivative of -b*q**4 + 9*b*q**2 + 64*b*q*s + q**4 + 25*q**3*s + 151*q**3 - 25*s wrt q. -24*b*q + 24*q + 150*s + 906 What is the third derivative of -1129390*w**5 - 1368411*w**2 wrt w? -67763400*w**2 What is the derivative of 235437*g**2 - 235586? 470874*g Find the second derivative of 17669*v**3 - 12*v**2 + 181*v + 2986 wrt v. 106014*v - 24 What is the second derivative of 191*r**3*w**2 - 7*r**3*w - 31*r**3 - 28*r*w**2 - 3*r*w - 8*r + 7*w**2 wrt r? 1146*r*w**2 - 42*r*w - 186*r What is the third derivative of 1284643*h**3*i*z - 3*h**3*z + 236*h**2*i + 3*h**2*z - 179*h*i*z - 2*i*z wrt h? 7707858*i*z - 18*z Find the third derivative of 39*m**4 - 5*m**3*q**2 + 314*m**3 + 4*m**2*q**2 - 1846*m**2*q + 2 wrt m. 936*m - 30*q**2 + 1884 What is the second derivative of -97432*q*s**3 - 5870*q + 5*s wrt s? -584592*q*s What is the first derivative of -1185828*u**4 - 76945? -4743312*u**3 What is the first derivative of 22*n**4 + 38*n**3 - 2*n**2 + 66*n + 65146? 88*n**3 + 114*n**2 - 4*n + 66 What is the second derivative of 2657801*c**2*w**2 + 2*c*w - 12*c - 5336*w**2 wrt c? 5315602*w**2 What is the derivative of 51*u**4 + 2*u**3 - 40*u + 60692 wrt u? 204*u**3 + 6*u**2 - 40 What is the derivative of 3*d*j**4 - 301*d*j**2 + 338359*d + 24*j**2 wrt j? 12*d*j**3 - 602*d*j + 48*j Find the first derivative of 47622*u + 59378. 47622 Find the third derivative of t**5 - t**4 + 23555*t**3 - t**2 - 22*t + 1158. 60*t**2 - 24*t + 141330 Find the third derivative of 221*f**6 + 5*f**4 + 3*f**3 + 7*f**2 + f + 834 wrt f. 26520*f**3 + 120*f + 18 Find the second derivative of 176*u**3*x - 24*u**3 - 969*u*x + 12*u wrt u. 1056*u*x - 144*u Find the second derivative of 178417*r**5 - 332505*r wrt r. 3568340*r**3 Find the third derivative of 1004123*t**3 - 1050694*t**2 wrt t. 6024738 What is the second derivative of -347*h**3*y**2 - 2*h**3*y + 2*h**2*y + 3*h**2 - 2*h*y**2 - 24*y**2 + 2*y - 118 wrt y? -694*h**3 - 4*h - 48 Find the second derivative of -2*a**3*j**3 + 84*a**3 + 1649*a**2*j**5 + 248*a**2*j wrt j. -12*a**3*j + 32980*a**2*j**3 What is the third derivative of -448171*j**2*q**4 + 28*j**2*q**2 + 2*j**2*q + j**2 - j*q**2 + 849*j wrt q? -10756104*j**2*q What is the second derivative of 126*c**3*j + 366*c**3*t**2 + 17*c*j - 11*j*t**2 + 3*j*t + 3*t**2 - 2 wrt c? 756*c*j + 2196*c*t**2 Find the first derivative of 110192*b**3*s**3 + 484783*b**3 + 6*s**3 wrt s. 330576*b**3*s**2 + 18*s**2 What is the derivative of -30997*t + 280179? -30997 What is the third derivative of -43337*z**3 + 172*z**2 + z + 36 wrt z? -260022 What is the third derivative of -433*d**3*i**4 - 2*d**3*i + 232*d**3 + 35*d*i**2 wrt i? -10392*d**3*i Find the third derivative of -330881*n**6 - 220*n**2 + 207*n + 2. -39705720*n**3 What is the derivative of 84972*a + 149000? 84972 What is the second derivative of -244*v**3*y**2 + 717*v**3*y - 192*v*y**2 + v + y wrt y? -488*v**3 - 384*v Differentiate p**2*w**3 + p*u*w - 7641*p*u - 2*p*w - 6*u*w + 33641*w**3 with respect to p. 2*p*w**3 + u*w - 7641*u - 2*w What is the derivative of -36214*d**2 + 2*d - 73908 wrt d? -72428*d + 2 Differentiate 1179495*c**2*k - 12431*c**2 + 45 wrt k. 1179495*c**2 Find the second derivative of 6*a**5 + 31*a**2*i + 49*a**2 - 3857*a*i - 2*a + 7*i wrt a. 120*a**3 + 62*i + 98 Find the second derivative of 142*p**3*s**2*z**2 - 230*p**3*s*z**3 - 111*p**3*z**3 + 26*p**2*s - 3017*p*s**2*z**3 wrt s. 284*p**3*z**2 - 6034*p*z**3 Find the third derivative of l**4*s + 23*l**4 - 191*l**3*s + 5*l**3 + 6042*l**2*s + 2*s - 4 wrt l. 24*l*s + 552*l - 1146*s + 30 What is the third derivative of 3081606*s**3 + 21*s**2 - 48922*s wrt s? 18489636 What is the second derivative of -129*p**3*v**2*w + 3*p**3*v*w - 67*p**3*w - 345*p**2*v**2*w + 2*p**2 + p*v + 3*p*w wrt v? -258*p**3*w - 690*p**2*w What is the second derivative of -2217378*l**2 - 33*l + 5061? -4434756 What is the second derivative of -6*i*r**3 - 846*i*r**2 + 5*i*r + 2*i - 2*r**4 - 81*r - 25 wrt r? -36*i*r - 1692*i - 24*r**2 What is the second derivative of 825*q**3*x - q**2*x + 3*q**2 + 2*q*x - q - 548*x - 3 wrt q? 4950*q*x - 2*x + 6 Differentiate 355*i**3*p**2 + 9*i**3 + 14*i**2*p**3 - 699*i**2 - 3 wrt p. 710*i**3*p + 42*i**2*p**2 Differentiate -11*k*w**2 - 3*k*w - 1261868*k - 17*w**2 + 5*w with respect to w. -22*k*w - 3*k - 34*w + 5 What is the second derivative of -139386*p**2*x**2 - 2*p**2*x - 2*p*x**2 - 2*p + 12093*x**2 wrt p? -278772*x**2 - 4*x Differentiate -172*o*z + 25413*o - 28*z - 1 wrt z. -172*o - 28 What
{ "pile_set_name": "DM Mathematics" }
a multiple of 2? False Suppose -19*w + 2303 = -12*w. Is w a multiple of 28? False Suppose 4*m - 1500 = -2*l, 0 = -2*m + 2*l + 504 + 240. Is 21 a factor of m? False Suppose -43 = -2*c + j + 154, 2*c + 5*j = 203. Let z = 12 + -5. Suppose z*a - c = 4*a. Is a a multiple of 18? False Let c be -1 - 0 - (-3 - 7). Suppose -6 = 4*w + 14, -1046 = 3*u + 4*w. Is c/(-45) + u/(-10) a multiple of 17? True Let a(q) be the third derivative of q**4/8 + 2*q**3/3 + 19*q**2. Is a(12) a multiple of 4? True Suppose 3*y - 4855 = -4*h, y = -0*h - 5*h + 6055. Is 10 a factor of h? True Let x(u) be the third derivative of -u**4/24 + 2*u**3/3 + 8*u**2. Let r be x(2). Suppose -6*k + k + 130 = 5*v, 0 = 3*k - r*v - 73. Does 8 divide k? False Let i(f) = -f**2 + 5*f - 15. Suppose x + 5*j = -4, 4*j + 45 = 5*x + 7. Let g be i(x). Does 6 divide (-6)/g + 82/7? True Let u = 8 + 2. Does 5 divide ((-189)/(-45))/(2/u)? False Suppose 0 = -3*c - 622 + 2581. Suppose 5*d - c = 107. Is 38 a factor of d? True Suppose 11*f - 47 = 8. Let p(q) = 21*q - 25. Is 11 a factor of p(f)? False Suppose -2*l + 6 = m, -m = l - 3*l - 10. Let j(q) = q - 20. Let y(i) = -1. Let v(g) = -j(g) + 5*y(g). Does 3 divide v(m)? False Let y be (-7)/(-1) + 3 + 0. Let g be 14/(-21) + (-602)/(-3). Suppose -g = -3*l + y. Is l a multiple of 19? False Let y(r) = -46*r**2 + 3*r - 2. Let o be y(1). Let s = 39 - o. Does 12 divide s? True Suppose 5 = l, -2*l + 51 = o + l. Suppose -12*q + o = -11*q. Is q a multiple of 12? True Let g(v) = -v**3 - 7*v**2 - 5*v + 9. Let s(j) = -j**3 - 10*j**2 - 7. Let u be s(-10). Is 29 a factor of g(u)? False Let j be 1 + -4 - (1 + -7). Suppose 0 = -j*w + 9, -4*y + 99 = 6*w - w. Does 11 divide y? False Suppose -186*n = -183*n - 10944. Is n a multiple of 21? False Let b(h) be the third derivative of h**4/12 - 19*h**3/6 + 6*h**2. Let o be b(-8). Let q = o + 57. Is 11 a factor of q? True Let q be 1/4 + (-60)/(-16). Let r be 151/6 + (12/4)/(-18). Suppose -r - 15 = -q*t. Is 10 a factor of t? True Let v(t) be the third derivative of t**7/1260 + t**6/360 + t**5/15 - 6*t**2. Let s(n) be the third derivative of v(n). Does 7 divide s(3)? True Let z = 3342 - 1358. Does 64 divide z? True Let t = -167 - -200. Is 4 a factor of t? False Let o(c) be the first derivative of 14*c**3/3 + c**2/2 - 1. Suppose -2*f = -f - 1. Is 15 a factor of o(f)? True Let w = 3488 - 2195. Is w a multiple of 15? False Suppose 0 = -5*d - 8*d + 1014. Is 26 a factor of d? True Let k = -1159 - -1754. Is 35 a factor of k? True Suppose 2*l - 41 = 3*h, -3*h + 2*l + l - 39 = 0. Let w be (h/(-6))/5*0. Let c(d) = -2*d + 5. Is c(w) a multiple of 5? True Let c(k) = k**2 + 12*k - 5. Let o be c(-11). Let x = o - -28. Is x a multiple of 4? True Suppose 4 = -5*r + 7*r, 3*r = 3*o - 2046. Is o a multiple of 36? True Let j(k) = 3*k**2 + k - 2. Let s be j(-3). Let c be (s/(-4))/(4/(-8)). Suppose 3*l + 0*l - c = 5*a, 2 = -l - 4*a. Does 2 divide l? True Let l(t) = -t**2 + t. Let z(c) = 82*c**3 + 2*c - 1. Let m(k) = -2*l(k) + z(k). Is 17 a factor of m(1)? False Let a = -79 + 114. Suppose -a = 4*b + b + w, 4*b + 5*w + 28 = 0. Let l(n) = n**3 + 8*n**2 + n - 6. Is l(b) a multiple of 9? True Let y(o) = 3*o**2 + 4*o - 3. Let d(m) = 2*m + 7. Let x be d(-3). Let h be -3*(-4 + 2 + x). Is 12 a factor of y(h)? True Let h(z) = -13*z**2 - 3*z - 2. Let o be h(-1). Let t(i) = i**3 - 5*i**2 + i - 7. Let x be t(5). Is 24 a factor of (7 - 3)/(x/o)? True Let x(m) = -37*m**3 + 6*m**2 + m + 6. Suppose 8*u - 11*u = 33. Let j(i) = -74*i**3 + 11*i**2 + 2*i + 11. Let f(t) = u*x(t) + 6*j(t). Is 10 a factor of f(-1)? False Suppose 0 = -6*w + 5*w - 25. Let b = w + 37. Is b a multiple of 5? False Let x(f) = -f**3 + 5*f**2 + 6. Let w be x(5). Let v(y) = w + y**2 + 2*y + y + 0*y**2 + 0. Does 8 divide v(-5)? True Let t(d) = -d - 9. Let y be t(-9). Suppose y = m + 4*i - 65, i + 215 = 5*m - i. Suppose 2*c - 2*k - 74 = 0, -c = k - 6*k - m. Is c a multiple of 10? False Let v = -777 + 1107. Is 3 a factor of v? True Let g be 104/40 + 2/5. Suppose -3*d - 4*h = -g*h - 200, d = 5*h + 40. Is d a multiple of 5? True Let g(h) = h**3 + 4*h**2 + 4*h + 3. Let i be g(-3). Suppose 466 = 4*d - 5*s, d + 5*s - 332 = -2*d. Suppose c + c - d = i. Does 12 divide c? False Suppose 44*n = 47*n + 39. Let o(s) be the third derivative of -s**4/8 + 19*s**3/6 - 3*s**2. Is o(n) a multiple of 19? False Let u(t) = 4*t - 3*t**3 - 4*t**2 - t + 4*t**3. Let x be u(2). Let i = x - -11. Does 9 divide i? True Let s = -35 + 60. Let y(o) = 42*o**2 - s*o**2 - 2*o - 16*o**2. Is 4 a factor of y(5)? False Suppose -8*h - 4*h = -24. Suppose b - 44 = -2*c, -h*c - 2*b + 8 + 32 = 0. Does 8 divide c? True Let z = 67 - -151. Suppose -3*w = -3*o - 222, -5*w - z + 572 = 3*o. Is 18 a factor of w? True Let j = -8 - -6. Suppose -27*f - 330 = -24*f. Is 22 a factor of f/j*(-24)/(-20)? True Let a(o) = -o**3 + o**2 + o - 1. Let k be a(1). Suppose 0 = 5*g - d - 890, k = 5*g - 4*d - 74 - 831. Is 24 a factor of g? False Let n = 136 + -130. Is 7 a factor of (n - 13)*(-48)/7? False Let s(o) = -o**2 - 10*o - 11. Let t be s(-8). Suppose -2*d = -4*a + 6, -3*a - 2*d + 3 = -t. Does 11 divide a/(-9) - 382/(-18)? False Let a = -10 - -108. Is 3 a factor of a? False Let z(u) = u**2 + 10*u - 24. Is z(9) a multiple of 17? False Let n(d) be the first derivative of -545*d**2/2 - 3*d + 4. Let f be n(3). Is (-2)/8 - f/24 a multiple of 25? False Let y(u) = -u - 6. Let z be y(-8). Suppose z*t = 4*t - 10. Suppose t*f + 11 = 161. Does 10 divide f? True Let g(o) be the first derivative of o**4/12 + o**3/6 - 14*o + 3. Let u(w) be the first derivative of g(w). Is 4 a factor of u(-4)? True Let y be 5*3/(45/(-12)). Let c = 6 + y. Does 2 divide 1/(c/14 - 0)? False Suppose -6635 = 28*i - 66135. Is i a multiple of 36? False Let t(p) = -350*p. Let c be t(-1). Suppose 4*u - c = -u. Suppose 5*x = -3*r - 0*x + 64, 3*r - u = x. Is 20 a factor of r? False Let u = -20 + 53. Is 2 a factor of u? False Suppose 3*z = -0*z - 30. Is 36/z*(-45)/6 a multiple of 9? True Let g(z) = z**3 - 2*z**2 - 6*z - 4. Let q(s) = -2*s**3 + 3*s**2 + 11*s + 7. Let c(v) = 7*g(v) + 4*q(v). Let j be c(-6). Let y = -87 + j. Is 9 a factor of y? True Let s(v) be the second derivative of v**3/6 + 17*v**2/2 + 4*v. Let g(h) = -11*h. Let q be g(-1). Does 11 divide s(q)? False Suppose -5*r - 197 = 3*i - 1673, 0 = -4*i - 2*r + 1954. Does 20 divide i? False Does 28 divide 901 + 0 + (-4)/((-52)/(-65))? True Let s(r) = 27*r**3 + r**2 + r - 1. Let p be s(2). Let q = p + -388. Let m = -119 - q. Is 16 a factor of m? True Let z(u) = -8*u - 18. Let n be z(-9). Does 12 divide ((-72)/n)/(4/(-246))? False Let k = -388 - -670. Suppose 0*b - k = -6*b. Is b a multiple of 6? False Suppose -699 = -7*z + 1457. Does 28 divide z? True Let h(y) = 2*y**2 + 9*y - 263. Is h(19) a multiple of 9? True Let a be 2/(-3) - (-20)/(-15). Let x be a - 130 - (-2 - 1). Is 4 a factor of x/(-12) - 2/(-8)? False Suppose -4*v = 61 + 79. Let k = -431 + 433. Let z = k - v. Is 13 a factor of z? False Let w be -1 + 5 + (-38 - -16). Let u = 118 + w. Is 10 a factor of u? True Let r = -447 - -747. Does 8 divide r? False Let u(g) = 169*g**2 + 5*g - 14. Is 8 a factor of u(2)? True Let g(b) = 5*b + 0*b - 7 - 6*b**2 + 11 + 4*b**3 - 3*b**3. Let f be g(5). Suppose -i + 180 = f*i. Is 8 a factor of i? False Let u be (-3)/27*2 - 2126/(-9). Suppose -u = -5*j - 11. Does 5 divide j? True Is 6 a factor of (16 - -4)*((-99)/(-15) - 1)? False Let m(v) = -7*v**3 + 2*v**2 - 3*v + 2. Let i be m(1). Let l(p) = 2*p**3 + 14*p**2 - 3*p - 6. Does 15 divide l(i)? False Let u = 44 + -42. Let x(o) = 21*o - 4. Is 14 a factor of x(u)? False Suppose -765 = -7*l + 2*l. Let x = l + -88. Does 5 divide x? True Is ((-5895)/(-20))/(5/(1200/18)) a multiple of 131? True Let l be 1 + 3*(-10)/3. Let n = -5 - l. Suppose n*a - 28 = 3*a. Is 14 a factor of a? True Suppose -58 = -4*z - 5*b, 5*z + 2*b = 6*b + 52. Suppose 2*x = -5*u - 15, 0 = u + 3*u - x + z. Let w = 5 - u. Is w a multiple of 4? True Let p = 137 - -247. Does 48 divide p? True Let c be (6/(-4) - -2)*8. Let t be (-2)/c + (-70)/(-20). Suppose -55 = -5*x - 5*k, -3*x + 6*x = t*k + 9. Is 4 a factor of x? False Let b(p) = 6 + 5*p - 2*p**3 - 1 - 4*p**2 - p**3 + 5*p**2. Let w be b(-2). Let t = 42 - w. Is t a multiple of 5? False Let w be ((-2)/5)/(2/
{ "pile_set_name": "DM Mathematics" }
*f - n = -7*f + 4*v, 1 = -3*f - v. Let 1/3*l**5 + f + 2/3*l + 1/3*l**4 - 1/3*l**2 - l**3 = 0. Calculate l. -2, -1, 0, 1 Let x = 61 - -70. Factor -127*h**2 + 1378 - 160*h + 222 + x*h**2. 4*(h - 20)**2 Let i(n) be the first derivative of n**3/2 + 21*n**2/4 - 216*n - 4431. Find x, given that i(x) = 0. -16, 9 Let d be 1/((-4488)/642 - -7). Let n = d + -107. Let 0*p + 1/4*p**3 - 1/4*p**5 + n*p**4 + 0 + 0*p**2 = 0. What is p? -1, 0, 1 Let j(c) be the third derivative of -c**6/120 + 73*c**5/60 - 1643*c**4/24 + 10571*c**3/6 + 1353*c**2. Factor j(g). -(g - 31)**2*(g - 11) Let i(x) = -91*x**2 - 816*x + 30. Let c be i(-9). Let q = 0 + 2. Determine m, given that 0 - 3/4*m**c + 3/4*m + 0*m**q = 0. -1, 0, 1 Let o be 156/(-18) + (-78 - -95). Find j such that 10/3*j + 5*j**5 + o*j**2 + 0 - 25/3*j**4 - 25/3*j**3 = 0. -1, -1/3, 0, 1, 2 Let h(t) be the third derivative of -t**5/100 + t**4/4 + 72*t**3/5 - 26*t**2 - 54. Factor h(b). -3*(b - 18)*(b + 8)/5 Factor -4/9*l**3 - 176/9*l**2 - 1352 - 2548/9*l. -4*(l + 13)**2*(l + 18)/9 Let c = -510550 + 510553. Factor 2*w**4 + 1/2*w**5 - 3 - 17/2*w + 0*w**c - 7*w**2. (w - 2)*(w + 1)**3*(w + 3)/2 Let c(g) be the first derivative of 3/2*g**3 + 3/4*g**4 + 43 + 3/2*g**2 + 3/20*g**5 + 3/4*g. Factor c(x). 3*(x + 1)**4/4 Factor -21 + 76*v - 122603*v**2 + 170*v - 99*v**4 + 121991*v**2 - 84*v**4 + 570*v**3. -3*(v - 1)**3*(61*v - 7) Suppose -26*a - 45*a + 710 = 0. Let g be 2 - (294/180 + a/(-12)). Suppose -32/5 + 1/5*u**3 + 0*u + g*u**2 = 0. Calculate u. -4, 2 Let w(c) = c**2 + 4*c - 209. Let v be w(-17). Suppose 4 = 3*r - s, 0 = -3*r - 0*r + 3*s + v. What is z in 9/5*z + r - 9/5*z**3 + 3/5*z**2 - 3/5*z**4 = 0? -3, -1, 0, 1 Let j(n) = 13*n**3 + 730*n**2 - 1509*n + 716. Let u(t) = 51*t**3 + 2922*t**2 - 6036*t + 2868. Let i(l) = -39*j(l) + 10*u(l). Let i(v) = 0. What is v? -252, 1 Let r(m) = 1635*m**2 - 1680*m - 3255. Let u(q) = q**3 + 1632*q**2 - 1671*q - 3254. Let k(x) = -4*r(x) + 5*u(x). Determine o, given that k(o) = 0. -325, -1, 2 Let i = 7762/15 + -7753/15. What is b in -i + 18/5*b**2 + 24/5*b**3 + 9/5*b**4 + 0*b = 0? -1, 1/3 Let x(p) be the second derivative of -p**6/240 + 7*p**5/80 - 23*p**4/32 + 3*p**3 - 27*p**2/4 - 658*p - 2. Factor x(h). -(h - 6)*(h - 3)**2*(h - 2)/8 Let x(t) be the first derivative of 0*t**2 - 2 + 0*t**3 - 2*t + 1/30*t**4 - 7/100*t**5. Let n(w) be the first derivative of x(w). Suppose n(f) = 0. Calculate f. 0, 2/7 Let p(a) be the second derivative of 5*a**4/12 - 35*a**3 - 1620*a**2 + 2229*a. Let p(c) = 0. Calculate c. -12, 54 Let z(p) be the third derivative of 0*p**3 - 1/8*p**4 + 0*p - 1/120*p**6 - 3*p**2 + 1/15*p**5 - 6. Factor z(a). -a*(a - 3)*(a - 1) Let i be (72/240)/((-8)/5). Let r = i - -169/48. Suppose -r*z**4 - 5/3*z**3 + 5*z**2 - 5/3 + 5/3*z = 0. What is z? -1, 1/2, 1 Let q(m) be the first derivative of -2*m**7/105 - m**6/90 + 43*m**3/3 + 49. Let f(b) be the third derivative of q(b). Find a, given that f(a) = 0. -1/4, 0 Suppose 7*z = i + 5*z + 2, -38 = -5*i - 2*z. Suppose 2*s - 3*a = -i, -3*a + 8*a = -3*s + 10. Factor -1/2*c**5 + 0*c + 1/2*c**4 + 1/2*c**3 + s - 1/2*c**2. -c**2*(c - 1)**2*(c + 1)/2 Let g = 7 + 30. Suppose 13 = 10*q - g. Factor 23*s**3 + 11*s - 2 + 4*s**q - 8*s**4 - 25*s**2 - 3*s**4 + 2*s**2 - 2*s**5. (s - 2)*(s - 1)**3*(2*s - 1) Let p(o) be the second derivative of -256/9*o**2 + 32/27*o**3 + 1 - 1/54*o**4 - 14*o. Determine q, given that p(q) = 0. 16 Let m(q) be the third derivative of q**6/420 - q**5/70 - 3*q**2 - 575*q. Solve m(l) = 0 for l. 0, 3 Let f be (3/2)/(27/6 - 4). Suppose 7 + f = 5*n. Find a, given that 20*a**n + 27*a - 7*a - 11*a - 13*a = 0. 0, 1/5 Let v(b) be the second derivative of -b**4/12 - b**3/2 + 15*b**2 - 22*b. Let j be v(-7). Factor -w + 3*w**j - 2*w**2 + 6 - 14*w - 10*w**2. -3*(w + 2)*(3*w - 1) Let l = -756 - -3571. Suppose -2*o = 3*o - l. Factor 563 - 8*f**3 + 8*f - 12*f**2 - o. -4*f*(f + 2)*(2*f - 1) Let o(a) be the third derivative of 5*a**8/336 - 3*a**6/2 + 3*a**2 + 2312. Determine w so that o(w) = 0. -6, 0, 6 Let u be 24/(-2)*(50 + (-1970)/40) - (-26)/2. Suppose -70/9*f - 28/9*f**3 + 5/9*f**u - 16/9 - 29/3*f**2 = 0. What is f? -1, -2/5, 8 Let d(q) = 4*q - 119. Let l be d(34). Solve -x**2 + 2*x**2 + l - 29 + x = 0. -4, 3 Factor -56*a - 2/3*a**2 - 576. -2*(a + 12)*(a + 72)/3 Let a(g) be the first derivative of g**6/18 - 2*g**5/15 - 3*g**4 - 88*g**3/9 - 32*g**2/3 + 523. Factor a(v). v*(v - 8)*(v + 2)**3/3 Let l = -4140 + 4149. Let u(j) be the third derivative of 0*j**5 - 1/4*j**4 + 0 - l*j**2 + 1/60*j**6 + 0*j + 2/3*j**3. Solve u(f) = 0. -2, 1 Let h(r) be the third derivative of r**7/840 - r**6/240 - r**5/20 - 19*r**4/24 - r**3/6 - 5*r**2. Let w(b) be the second derivative of h(b). Factor w(i). 3*(i - 2)*(i + 1) Let k be (-1 - (-2)/1)*-73. Let h = 76 + k. What is z in 43*z**4 - 27*z**4 + 3*z + 9*z**h - 19*z**4 - 9*z**2 = 0? 0, 1 Let f(g) be the first derivative of -3*g**5/25 + 2652*g**4/5 - 3129358*g**3/5 + 9372168*g**2/5 - 9366867*g/5 + 7986. Solve f(p) = 0 for p. 1, 1767 Let g(j) be the second derivative of -j**6/30 + 7*j**5/5 + 5*j**4/2 - 14*j**3/3 - 29*j**2/2 + 746*j. Factor g(x). -(x - 29)*(x - 1)*(x + 1)**2 Let h be 1540/(-42)*3/(-5). Factor -4*w**3 - w + 12*w**2 + h*w + 43*w + 48. -4*(w - 6)*(w + 1)*(w + 2) Let s(q) be the second derivative of -13/16*q**3 - 3/8*q**4 + 3/160*q**5 + 0*q**2 + 0 + 170*q. Find h, given that s(h) = 0. -1, 0, 13 Find w, given that -255/2*w**2 + 0 - 261*w + 3/2*w**3 = 0. -2, 0, 87 Let d(y) be the first derivative of -1/54*y**4 - 8 - 9*y - 1/27*y**3 + 0*y**2. Let n(x) be the first derivative of d(x). Factor n(b). -2*b*(b + 1)/9 Let o(x) be the second derivative of 0*x**4 - 5 - 3*x + 0*x**3 + 1/30*x**6 - 1/50*x**5 - 1/105*x**7 + 0*x**2. Factor o(t). -t**3*(t - 2)*(2*t - 1)/5 Let p(d) be the third derivative of -d**5/15 - 122*d**4/3 - 968*d**3/3 - 2*d**2 + 1638*d. Suppose p(u) = 0. Calculate u. -242, -2 Let y = -64167 + 64170. Suppose 0 + 2/5*j**y + 0*j**2 + 0*j = 0. What is j? 0 Let s(c) be the second derivative of -c**4/78 + 998*c**3/39 - 249001*c**2/13 - 119*c - 12. Factor s(h). -2*(h - 499)**2/13 Let s be (-24)/(-72)*(2030/(-506) - -4) + 13/143. Factor -s*j**2 + 12/23*j - 10/23. -2*(j - 5)*(j - 1)/23 Find g, given that -g**3 + 133 + 21*g - 21*g**2 + 5*g - 2*g - 89 = 0. -22, -1, 2 Let f(m) be the second derivative of 13*m**5/110 + 47*m**4/66 - 28*m**3/33 - 32*m**2/11 - 2*m - 162. Determine x, given that f(x) = 0. -4, -8/13, 1 Suppose -130*z**3 + 47*z**4 - 13 + 128*z**2 + 21*z**4 - 116 - 67*z**4 + 130*z = 0. What is z? -1, 1, 129 Let v = -20 + 22. Suppose 14*a + 203 = 21*a. Factor a*d**3 + 48*d + 32 - 72*d**v + 11*d**3 - 20*d**3. 4*(d - 2)**2*(5*d + 2) Let o(t) be the second derivative of 5/33*t**3 - 7 + 0*t**2 - 1/66*t**4 + 2*t. Factor o(z). -2*z*(z - 5)/11 Let p(q) = -24*q + 49. Let z be p(6). Let r = z - -98. Factor -6*c**2 - 3*c - 3/4*c**4 + 0 - 15/4*c**r. -3*c*(c + 1)*(c + 2)**2/4 Let u be (5 + -3)*(63 + -2). Let s = -118 + u. Find p such that 48*p**2 - s*p**4 + 12*p**3 - 86*p**2 + 12 + 20 - 48*p + 46*p**2 = 0. -2, 1, 2 Let k(q) = -31*q**3 - 2290*q**2 - 4561*q - 15. Let b(n) = -8*n**3 - 572*n**2 - 1140*n - 4. Let f(h) = 15*b(h) - 4*k(h). Factor f(z). 4*z*(z + 2)*(z + 143) Let v(m) be the first derivative of -50*m**6/3 + 1063*m**5 + 10115*m**4/4 + 3335*m**3/3 - 1915*m**2/2 - 550*m - 408. Find i such that v(i) = 0. -1, -1/4, 2/5, 55 Let o(u) = -21 - 13*u - u**2 + 20 + 13*u. Let w(c) = 12*c**2 + 144*c + 2602. Let r(m) = -10*o(m) - w(m). Factor r(s). -2*(s + 36)**2 Let t be (-15)/3*-3*3/(-15). Let b be 6 + (t - -5 - 4) + -2. Factor 2*s**3 - 2*s**4 - 3*s**2 + 8*s**b - s**2. -2*s**2*(s - 2)*(s + 1) Let n(o) = -4*o**2 + 10*o + 70. Let v(b) = -16*b**2 + 39*b + 279. Let i = 194 - 185. Let q(f) = i*n(f) - 2*v(f). Factor q(u). -4*(u - 6)*(u + 3) What is m in -9062*m**4 + 201 + 15120*m**2 + 9437*m**4 + 3188*m - 170*m + 25350*m**3 = 0? -67, -1/5 Suppose 2*x - 226 = -3*n - 211, -15 = 3*x - 3*n. Let o(c) be the third derivative of 0*c - 31*c**2 + x + 1/210*c**5 - 1/14*c**4 + 0*c**3. Factor o(b). 2*b*(b - 6)/7 Let l be ((-84)/8)/7*-2. Suppose l*k + 4 = -c, -12 + 4 = -3*c + k. Factor -14/3*u - 10/3*u**c - 2 - 2/3*u**3. -2*(u + 1)**2*(u + 3)/3 Let n(k) be the first derivative of 0*k**3 - 2 + 24*k + 1/30*k**4 - 1/5*k**2. Let b(r) be
{ "pile_set_name": "DM Mathematics" }
3, -5*z - r = -l. Is z prime? False Suppose -f + 6*f + 1480 = 0. Let o = 6 + -2. Is f/(-12)*6/o a composite number? False Let k = -938 + 666. Let h = 352 - k. Suppose -r - 2*r + 3*s = -h, -4*r = -3*s - 835. Is r a prime number? True Is (1 + (-4 - -4))*1589 prime? False Suppose 2*m = m - 120. Let t = -74 + -123. Let g = m - t. Is g a composite number? True Suppose 4*j = z + 2*z - 143, -3*z = -3*j - 147. Is z prime? True Let w be 59*3/(-9)*-3. Suppose 4*k = w - 19. Is k a prime number? False Suppose 0 = -5*c + 4*c - 8. Let l(b) = -3*b**2 - 10*b - 11. Let o be l(c). Let f = 38 - o. Is f a composite number? True Suppose 0 = -r + 2 + 4. Suppose 2*m - r*m = -92. Suppose -2*v - 4*y + 27 = -v, -v + m = 3*y. Is v composite? False Suppose 26 = 2*n + 4*v, 4*n + 5*v - 32 = 8. Suppose -5*f - 128 = 3*c - 4*c, 3*c = n*f + 354. Is c prime? True Let q(c) = 12*c - 3 - 16*c - 92*c + 2. Is q(-2) a composite number? False Suppose 3*f = -r + 10, -f = -5*f - 16. Is r prime? False Suppose 3*u = -4*s + 211 - 19, 4*s + 5*u - 184 = 0. Is s a composite number? True Is 2 - 3 - (12 - 924) a composite number? False Let h(g) = -95*g**3 + g + 1. Suppose -3*b - 1 - 2 = 0. Is h(b) composite? True Let v be 849/(-3) - (0 + 1). Let m be (v/10)/(3/(-15)). Is 4/(-6) + m/6 composite? False Let t(a) be the second derivative of 4*a**2 + 0 + 1/6*a**3 + 1/12*a**4 - 2*a. Is t(-6) composite? True Let u = 89 - 62. Suppose x = u + 60. Is x prime? False Suppose 0 = -v + 3*n - 7, -2 = 5*v + 3*n - 7*n. Suppose 2*r = b - 133, 0 = -3*b + 5*b + v*r - 266. Is b composite? True Let h be -28*4/10*-10. Suppose 2*z + 245 = 5*j, 0*j + 2*j - h = -2*z. Is j a composite number? True Suppose -2*i - 2*i + 3824 = -3*x, -1918 = -2*i + 3*x. Is i a prime number? True Is 13944/20 - (-3)/(-15) prime? False Let o(z) = z**2 + 4*z - 3. Let u be o(-5). Let k be -89 + -2 + (u - 1). Let j = 7 - k. Is j prime? True Suppose -9*c + 5*c = -4308. Is c composite? True Suppose 0*n = n - 6. Suppose -4*g - n = -5*g. Suppose 0 = g*t - t - 955. Is t a composite number? False Let x = 5 + -1. Suppose 385 = -x*b + 1473. Let d = b + -145. Is d prime? True Let g(a) = a + 7. Let y be g(-5). Let k be -8*(-3)/18*3. Suppose -k*n + y = -14. Is n prime? False Let d = 1 - -18. Suppose d = -0*i + i. Is i a prime number? True Suppose -5*z + 1045 = -4*c, -115 - 85 = -z - c. Is z prime? False Suppose -4*u + 88 = 4*f, -66 = -3*f - 0*u - 4*u. Let k be (-14)/(-21) - f/6. Is -1*(0 - (5 + k)) a composite number? False Let w be (-1)/(64/22 - 3). Let n be (-101)/(-3) + 3/9. Let f = n - w. Is f a composite number? False Is (1/2)/((76/(-2344))/(-19)) a prime number? True Suppose 2*m = 5*j - 4, j = 2*m + 1 + 3. Suppose v = -j*v + 69. Is v a prime number? False Suppose -2*k + 1314 = -0*k + 2*b, -4*k + 2616 = b. Is k a composite number? False Let o(y) = -15*y**2 + y. Let l be o(-1). Let p(m) = -m**3 - 15*m**2 + 12*m + 1. Is p(l) a prime number? False Suppose 0 = -3*d + 5*y - 6139, 5*d - 582 + 10821 = y. Is d/(-8) - 1*3 a prime number? False Let t = -27 - -57. Let x = -4 - -3. Let u = t - x. Is u prime? True Suppose -2*c - 311 = -3*c. Is c a composite number? False Suppose 2*w - w - 4 = 0. Suppose -25 = -5*b, 0 = -2*t + w*b + 194 + 84. Is t a prime number? True Let f(n) = -n**3 - 4*n**2 + 8*n - 1. Suppose -u = -5*k + 2*u - 13, 3*k + 2 = -4*u. Let o be (4 - 7)/(k/(-4)). Is f(o) a prime number? True Let n = -777 + 1118. Is n a prime number? False Let g = 28 + -15. Is g prime? True Suppose 2*s - 76 = -2*s. Is s a composite number? False Let j be 4 - 5/(15/6). Suppose j*f + 3*z + 63 = 1413, -3*f + 1995 = -3*z. Is f a composite number? True Suppose 5 = -4*u + 13. Let j be 5*(u - 24/15). Suppose 3*q - 18 = -5*b + 383, j*q - 274 = -5*b. Is q a prime number? True Suppose -5*k - 18 + 3 = 0. Let v = -3 - k. Suppose v = 5*i - 5*r - 35, 4*i - 26 = 4*r + r. Is i a prime number? False Suppose -8*u + 3943 = -7*u. Is u a prime number? True Let s(h) = -13*h**3 - 2*h**2 - 1. Is s(-2) a composite number? True Suppose j + 28 = s, -3*s - s + 5*j + 114 = 0. Let r be 1 - 1 - (1 + 10). Let i = s - r. Is i prime? True Let t(h) = -h + 9. Let a be t(7). Suppose 13 = a*j + 3. Let c(y) = y**3 - 4*y**2 - 6. Is c(j) a composite number? False Suppose -t + 7389 = 8*t. Is t prime? True Suppose 4*o - 3*o = 6. Suppose -n + o*n = 15. Is n composite? False Let f = 39 - -76. Is f a composite number? True Let b be -1*(3 - (-4)/(-2)). Let n be -3*b/9*-3. Is (-1)/n*(128 - 1) a prime number? True Suppose 2*d = 3*x + 286, 5*d = d + 4*x + 580. Is d a prime number? True Suppose -4*r + 3 = n - 7*r, -4 = -n + 2*r. Is -3*((-274)/n + 2) prime? True Let f(t) = 17*t**2 - 31*t - 14. Let w(h) = 6*h**2 - 10*h - 5. Let b(l) = 4*f(l) - 11*w(l). Is b(12) a prime number? False Suppose -2*m = 3*v - 485, v + 8*m - 3*m = 179. Is v composite? True Let p = -48 + 93. Suppose 6*j - p = j. Let a = j + 1. Is a a prime number? False Let w = 3 + -4. Let k(r) = -10*r**3 + r**2 + r. Is k(w) a composite number? True Let q be (12/(-9) - -2)*6. Let o = 6 - q. Suppose o*t = -t + 111. Is t a composite number? False Let h(n) be the first derivative of n**6/120 + n**5/10 + n**4/24 - 7*n**3/6 - n**2 - 2. Let f(t) be the second derivative of h(t). Is f(-5) composite? False Let d = -208 + 411. Is d composite? True Suppose 0 = 4*t - t + 12. Is 51 - (-4)/((-8)/t) composite? False Let a(n) = -84*n - 1. Suppose -j = 6 - 3. Is a(j) a composite number? False Suppose 29 = h - 7. Suppose -2*u + h + 2 = 0. Is u a composite number? False Let o(j) = 4*j**2 + 4*j - 5 - j - 2*j - 3*j**2. Is o(-5) composite? True Let n = -134 + 1327. Is n prime? True Let w = -5 - -5. Is 60 - (w + 0) - 2 a prime number? False Suppose 0 = -3*h + 5*u + 13242, -2*u = -2*h - 6*u + 8806. Is h a composite number? False Let h be 0/((-7)/((-21)/6)). Suppose -3*a + 6 = h, 2*z - 194 = -5*a + a. Is z composite? True Suppose 4*p - 2*p = 170. Let f = 144 - p. Is f a composite number? False Suppose -4*a = -a - 3*l, 5*a - 6 = 2*l. Let r(w) = 2*w**2 - 3*w**3 + w - 4*w + 1 + 5*w**3. Is r(a) a prime number? True Is (-3)/(-9) - 16/(-6)*427 prime? False Suppose 0 = 4*m - 2*v + 5*v - 9, 3*v + 27 = 2*m. Let p = 18 - m. Let g(f) = -f**3 + 12*f**2 + 6*f - 17. Is g(p) a composite number? True Suppose y - 36 = 4*z + 2*y, -5*z - 2*y - 48 = 0. Is (-2)/z + (-2613)/(-12) prime? False Suppose d = -3*q - 12, 4*d = -d. Let b be (-1 - 1)*46/(-4). Let y = q + b. Is y composite? False Let f = 3 + -5. Let d be 1 + -2 - -1 - f. Suppose 173 + 149 = d*r. Is r a composite number? True Suppose 510 = 3*f - f. Let m be f/(-4) - (-1)/(-4). Let c = 95 + m. Is c prime? True Let x(c) = 2*c - 1. Let r be x(3). Suppose r*q - 4226 + 326 = 0. Let j = -409 + q. Is j a composite number? True Let i be (-1942)/9 - (-12)/(-54). Let z = -151 - i. Is z a prime number? False Let h be (2/(-2))/((-1)/2). Suppose -3*b + 241 + 288 = j, 2*j = h*b - 366. Is b composite? True Let t be 2 + 1 + 0 + 2. Let q(o) = o - 7. Let k be q(t). Is k + 4 + (-27)/(-3) a composite number? False Suppose 5*p = -3*b - b - 25, -4*p - 20 = -4*b. Suppose 4*h - 342 - 454 = b. Is h composite? False Let a(l) = 2*l + 7*l - 5*l + 3*l. Let p = -9 - -16. Is a(p) composite? True Let u = -2655 - -4804. Is u a prime number? False Let o = 18 - 6. Let l = o - 18. Let s(z) = -z**3 - 5*z**2 - 8*z - 5. Is s(l) composite? False Suppose -2*c - 6*s + s - 17 = 0, 5*c - s = 25. Suppose -c*h + 16 = 0, -3*p - 5*h = 7 - 192. Is p a prime number? False Let g(x) = x. Let d be g(2). Suppose -v - d*m = -201, 2*m + 12 = -m. Suppose 0 = u + 48 - v. Is u composite? True Suppose 2*q = 5*q + 6. Is 3 + (89 - (5 + q)) a prime number? True Let d = 933 - 260. Is d composite? False Suppose 0 = -2*c - 2 + 8. Suppose -y + 2*y = c. Is y a prime number? True Let b = 2 - -4149. Is b composite? True Is ((-148)/(-12))/(1/3) a prime number? True Let v be 3 + 0 + 1 + -2. Let m(k) = 2 + 2*k**v + k**2 + 3 + 7*k. Is m(-4) prime? False Suppose 4*x = -2*f + 6618, 2*x - 3*x = 3*f - 1652. Is x composite? True Let s(z) = z**3 + 5*z**2 + 7*z + 6. Let u be s(-4). Is (-2)/u + 852/9 prime? False Let t(f) = 32*f**2 - f. Suppose x + 2*x = 3*g - 21, 4*g = 5*x + 35. Let k(w) = -w**3 - 8*w**2 - 7*w + 1. Let j be k(x). Is t(j) composite? False Let n = -69 - -302. Is n a prime number? True Suppose -4*h + 2 = -3*h. S
{ "pile_set_name": "DM Mathematics" }
1 = 2*r. Let s be c - -1 - (-1 - 1). Solve -i = i - s*g, 15 = -2*i + 5*g for i. 5 Suppose 3*b = -y + 11, -5*y + 7 = -b - 0. Solve 0 = y*r - 5*i - 7, 4*r - 4*i + 2*i + 10 = 0 for r. -4 Let s = 4 + -6. Let p = 7 + s. Suppose p = c - 1. Solve n + 3*g + 12 = 0, -4*n = 2*g + 4 - c for n. 3 Let t = -26 - -34. Solve j + 2*h - t - 4 = 0, 4*h - 22 = -j for j. 2 Let t = 0 - -5. Let s(a) = a - 1. Let v be s(t). Solve 0 = 5*h - 2*l + v, -6*h + 5*l = -h - 5 for h. -2 Suppose -x + 4*o = -4*x + 21, -x + 7 = o. Suppose 3*h = -4*r + x*h + 16, 4*r = h + 10. Solve -v = 5*q + 2, -2*q - r = -3*v + 4*v for v. -2 Let s be 1*4/(-4 - -2). Let z = s - -5. Suppose -z*u - 2*i = -6*u + 5, -i = u. Solve u = -n - 2*g, 0 = 5*n - 0*g - g + 5 for n. -1 Suppose q = -3*q + 44. Let r be 1/4 - (-2)/(-8). Let t = r + 2. Solve 8 = t*g - 2*o, -4*g + 5*o + q = -7 for g. 2 Suppose -3*f - 10 = -11*a + 12*a, 5*a + 5*f = 0. Solve 6*s = 3*s + 4*u - 31, 5*s + a*u + 5 = 0 for s. -5 Let p be 14/84 - 70/(-12). Solve 2*n + p = -n, -4*i + 8 = -2*n for i. 1 Suppose 3*i = 7*i. Suppose -4*b + 108 = -i*b. Suppose 0 = -5*f - d + 72, -2*d - b = -f + 2*d. Solve -5*w + 10 + f = 0, 0 = k + 5*w - 25 for k. 0 Let g = 6 + -1. Suppose -3*j = f - 4, 2*j + g*f - 3*f = 0. Solve -4*s - 21 = -5*m, 7*m = -2*s + j*m + 27 for s. 1 Let u(l) = l**2 - 14. Let i be u(-4). Solve -3*r + i = -4*h + 1, 0 = -2*h + 2*r - 2 for h. 2 Let g be 1*-4 + (-7 - -7 - -4). Solve g = 4*j + 5*v - 14, -2*j = 2*v + 1 - 7 for j. 1 Suppose 5*x - 63 + 8 = 0. Solve 0 = -4*u + 5*m - 7 + 20, 0 = 3*u - 5*m - x for u. 2 Let p = 6 + -3. Solve -p*d - 1 = -5*w + d, 22 = -2*w - 4*d for w. -3 Suppose 6*x - 6 = 5*x. Solve 0 = -3*j - x, -5*z = -3*z - 5*j - 18 for z. 4 Let q = -7 + 10. Solve -w = k, q*w - 25 = -2*w for k. -5 Suppose 4 = -6*q + 16. Solve -o + q*m - 7 = 2*o, 2*m = 10 for o. 1 Suppose -4*f + c = -1, -5*f = 4*c + 4 - 0. Solve f = 3*u - 5*s - 27, 2*s - 3 = -2*u - 1 for u. 4 Suppose -7*m + 4 = -6*m. Solve -m*q = v - 2*v + 4, -3*q = -4*v - 10 for v. -4 Suppose 26 = m + 1. Suppose -5*h + 36 = 11. Suppose -h*j + m = -0*j. Solve -d - 3*x = -15, 0 = -2*d + x - 2*x + j for d. 0 Let h = 17 + -29. Let u = h + 16. Solve 0 = z - u*v + 16, -z - 5*v + 15 = -14 for z. 4 Suppose -3*f + 4*v - 11 = 0, 0 = -5*f + v - 2*v + 20. Solve -2*a + f*a - 4 = 2*y, a + 5 = -y for a. -2 Let l = 1 + 10. Let o = -6 + l. Solve g = -3*z + 2*g - 9, -5*z = 5*g - o for z. -2 Suppose -h + 0*d = 3*d + 10, -25 = -2*h + 3*d. Solve -2*r = 2*u, -h*u + 2*u + 3*r = 30 for u. -5 Let k = 11 - 12. Let o = k + 15. Suppose -p - p = -4. Solve p*z = 3*q - o, 3 + 3 = q - 2*z for q. 4 Let s be (-92)/(-14) - (-12)/(-21). Solve -4*v = -2*l + 12, -4*v + 5*v = -l - s for v. -4 Let l(x) = x**3 - 8*x**2 - x + 10. Suppose w - 1 = -3*y - 2, 2 = 4*y - 2*w. Suppose 5*j = -y*j + 40. Let f be l(j). Solve r = 3*p - 5*p - 7, -2*r = f for p. -3 Let z be -1 + 6 - 6/2. Suppose z = -3*k - 1. Let f = k - -16. Solve r - f = -2*r, 20 = -5*p + r for p. -3 Suppose -4*q - a = -74 - 88, 0 = 2*q + 5*a - 72. Suppose 0 = -5*r - 3*o + 11, 5*r - 5*o - q = -6. Solve 4 = 2*f, -r*f = -4*m - 10 - 18 for m. -5 Let x(l) = -2*l - 5. Let w be x(-5). Let s = w + -2. Solve 3*b - 5 = -2*z - s, -2*z - b = -6 for z. 4 Let b = 12 + 6. Suppose c - 36 = -3*c + 4*r, 2*r - b = -c. Solve -5*q = 4*l - q - c, 5*q = 4*l + 33 for l. -2 Let j = 5 + -3. Suppose j*a = 5*m + 62 - 9, -2*m = -4*a + 34. Let f be -2*1*m/6. Solve -9 = 3*y + f*v, 2*y + 2*y - 13 = v for y. 2 Suppose -3*z = z - 20. Solve s + 1 = -a - 4, z*s + 7 = 4*a for s. -3 Suppose -5*i + 8 = -7. Let z be (-2)/5 + (-54)/(-10). Let k(j) = -j**3 - 5*j**2 + 7*j + 8. Let n be k(-6). Solve 2*s - 9 = -s + i*y, 1 = -n*s - z*y for s. 2 Let h(i) = 2*i**2 + 11*i + 12. Let g be h(-8). Suppose 4*d + 17 + 55 = 3*k, 4*d = 2*k - g. Suppose 9 = 5*x - 6. Solve 4*y - u + k = x*u, -21 = 5*y - 3*u for y. -3 Let p be (0 - -1*1)*12. Suppose 0*j = 8*j - 40. Solve -2*r + 10 = j*c - 10, 4*r = 3*c - p for c. 4 Let u = 168 + -131. Solve z = -5*f + 4*z, 0 = 4*f + 5*z - u for f. 3 Let f be (-1 + 10/8)*0. Suppose -2*c - 2*s = -8, c - 2*s = -c. Solve 2*y - 3*o + c = f, 0 = 6*o - 3*o for y. -1 Let z be 2*-1 - 24/(-3). Suppose 2*i = -0*i + z. Suppose -3*v - 4 = -4*v. Solve 8 + 0 = v*b - i*q, 10 = 5*b - q for b. 2 Let x = 6 + 0. Let t = 9 - x. Solve 4*m + 12 = -g - g, -m = -t*g - 11 for m. -1 Let w(i) = i - 13. Let g be w(15). Solve -23 = -3*t + 2*q - g, -2*t = -4*q - 22 for t. 5 Let x be ((-6)/4)/(12/32). Let l = -2 - x. Solve 5*j - 3*p = 8, 2*j + 0*p + l = -4*p for j. 1 Suppose 0 = 4*w + 16, 2*w = 2*j + 3*w + 1004. Let h be j/16 - 2/(-8). Let t = 43 + h. Solve -3*z - d - t = 0, z - 2*z - 4 = -4*d for z. -4 Let h = 1 - -4. Suppose -h*g = -3*m - 14, -2*m + 4*m + 12 = 4*g. Suppose 0 = -u - m*u. Solve -5*v = 20, o - 2*o - 2*v - 4 = u for o. 4 Let g = -12 + 35. Let o = -7 + g. Solve -4*k - 6 - 7 = 5*w, 0 = 5*w + 3*k + o for w. -5 Let b be (2/(-3))/((-4)/30). Solve -w - 8 = -0*v + 2*v, -b = 4*w - v for w. -2 Let j be (-6)/3*10/(-4). Let y = j - 3. Solve 0 = -5*m - y*d + 12, 5*d = -0*m - 2*m + 9 for m. 2 Suppose -i - 3*i = 0. Let n(d) = d**3 + 5*d**2 - 2*d - 5. Let z be n(-5). Let c be (z/15)/(2/30). Solve -4*g - g = -5*w - c, -w - 4*g - 16 = i for w. -4 Suppose 3*z + 3*u = 5*z + 20, -3*z - 52 = u. Let s = -13 - z. Solve -s*k + 2*h = 18, -26 = 3*k + 2*k - 2*h for k. -4 Suppose 8 = 4*v - 4*f, 2*v - 9*f - 10 = -4*f. Solve -b = 4*g + 14, 2*g + v*g = 2*b - 12 for b. 2 Let o be (8/(-8))/(1/(-31)). Solve -m + 6 = -u - 3*m, 4*u - 3*m = o for u. 4 Suppose -l = -y + 7, -4*l + 7 - 32 = -3*y. Solve -y*w + 4*w = 5*r + 5, -3*w + 15 = -4*r for w. 5 Suppose -z + 6 = -3*z. Let h be 238/21 + (-2)/z. Solve 5*c - h = -2*v + c, 3*v - 14 = -4*c for v. 2 Let q(r) = -2 + 5*r - 2 + 1 + 0. Let p be q(1). Solve -p*j - 5*u + 17 = 6, 3*j = -4*u + 6 for j. -2 Let f(r) = -r + 18. Let y be f(13). Solve 0 = -w - 3*m + y, -4*m + 16 = -0*w - w for w. -4 Let w be 1 - 4 - (0 + -7). Solve 4*y - 24 = 5*a, -a = 4*y + a + w for y. 1 Let c(h) be the first derivative of h**3/3 + 11*h**2/2 + 13*h + 4. Suppose -3*p = -2*p + 10. Let l be c(p). Solve f + 9 - l = 5*n, 0 = 2*n - 4*f + 12 for n. 2 Let u(a) = a. Suppose -o = -n - 1, -3*n - 5*o + 7 = -7*n. Let j be (n - 2)*(-5)/(-10). Let r be u(j). Solve 0 = x + 5*f - 5 + 20, 3*x + 5*f + 15 = r for x. 0 Let n be 1/4 - (-22)/8. Suppose -9 = -6*b + n*b. Solve -4*j = j + b*v - 5, 17 = 4*j + 5*v for j. -2 Suppose 4*v - 8*v + 106 = 2*k, -4*v + 112 = 4*k. Solve 6*h = 2*b + 2*h - 12, -5*h - v = 0 for b. -4 Suppose -2*i - 2 = -12. Let v(f) = -f**2 - 10*f - 14. Let m be v(-6). Solve d - i*l = 2*d + 14, -d - 3*l = m for d. -4 Suppose 11*r = 17*r - 30. Solve 0 = 4*t + 8, 0 = r*l + t - 12 - 6 for l. 4 Let c(n) = -n**3 + 2*n**2 + n + 1. Let v be c(2). Let q = 4 - 1. Suppose -2*t + 9 = -19. Solve q*d = 4*y + 14, -d = v*y + t + 3 for d. -2 Let t(a) = -a**2 + 6*a. Let j be t(6). Suppose -u = -j*u. Solve 2*c - 7*c - 5*z + 10 = u, -3*c - 2*z + 9 = 0 for c. 5 Suppose -3*w + 5*i - 1 = 0, -i - 6 + 2 = 0. Let h(o) = 4*o + 2. Let f be h(w). Let u = f - -56. Solve 0 = -x - 5*c + u, 3 + 12 = x + 2*c for x. 5 Let v(q) be the second derivative of q**3/3 - 3*q**2/2 + 3*q. Let m be v(3). Let j = -2 + 5. Solve 4*l - 5*i + 11 = 0, 4*l + j = -m*i - 16 for l. -4 Let k be 1 - 5*(-1 + 0). Suppose 2*a - k = -a. Solve 6*l + z = l + 8, 0 = -2*l + a*z + 8 for l. 2 Let c(y) = y**3 + 14*y**2 - 16*y - 15. Let b be c(-15). Suppose 0 = 5*o - 4*u + 2 - 7, 5 = 4*o - 3*u. Solve o*t - 4*j - 11 = b, 2*t + 2*j + 7 = -3 for t. -1 Let w(q) be the first derivative of -q**2/2 + 2*q - 3. Let i be w(0). Let a be -1 + 10/(3 + -1). Solve -3*j + i = 5*u, -2*u - 2*u = -a for j. -1 Suppose 0 = a + 1 - 4. Suppose l + a - 10 = 0. Solve 0 = 4*j + 2*h + 26, -5*j - 3*h = -l + 41 for j. -5 Let v = 38 + -25. Solve 5*p + 4*q = 5 + v, -2*p - 3*q = -10 for p. 2 Let r be 20*(-3 + (-19)/(-2)). Suppose 3*c - 3*t - 78 = t, 0 = 5*c + 2*t - r. Solve 0 = -3*d + 5*w - c, 5*w + 7 - 27 = 0 for d. -2 Let t be 7 + 3 + -1 + -4. Suppose -3*i = -w + i - 17, -t = -i. Solve w = 2*l - h, -6*h + h = 3*l + 15 for l. 0 Let z = -18 + 18. Solve m = -z*k + k + 1, 0 = k - 2*m + 5 for k. 3 Suppose 3*u - 47 = y, -4*u + 28 = 5*y - 60. Solve -5*p - 5*h + 40 = 0, -p - 5*h = -11 - u for p. 3 Let x be (0 - -1)*37 - 1. Suppo
{ "pile_set_name": "DM Mathematics" }
8 - m. Let c = 0 + 10. Solve -17 = h*y + 3*g - 4, 3*y + 4*g + c = 0 for y. -2 Let y = 2 - 2. Let k = 9 - 6. Let b be (-12)/(-7) + 4/14. Solve -5*w + y = 3*p - b, -k*w + 3*p = -6 for w. 1 Suppose 0 = j + j + b, 2*j = -2*b - 4. Let i(p) = -p**2 + 6*p + 8. Let f be i(6). Solve -3*c = -j*c - n + f, -2*n = 2*c - 4 for c. -3 Suppose -3*f + 7 + 8 = 0. Suppose -28 + 3 = -5*b. Suppose -3*d - 3*q - 3 = 0, 0*q + b = 3*d + q. Solve m - d*n - 14 = 5*m, -5 = -m - f*n for m. -5 Suppose -4*k = -3*i + 7 - 4, -3*k = -4*i + 11. Let h be 9 + 1 - 2 - k. Solve -2*c = -q - 0 + h, -4*q - 2 = 3*c for q. 1 Let s = 8 - 5. Let l(q) = 2*q**3 + q**2 - q. Let u = -5 - -6. Let a be l(u). Solve 0 = -s*x - a*i - 14, -6 = 4*x - i - 2 for x. -2 Let x(q) = -5 + 1 + q + 7 + 2. Let i be x(5). Solve 2*y + 4*w = -i, 4*y + 4*w - w = -20 for y. -5 Let y be (-2)/10 + 1/5. Let c(v) = -v**3 - v**2 + v. Let q be c(y). Suppose q = -3*u + 48 - 9. Solve 5*o - m = 4*o + 2, -3*m - u = 4*o for o. -1 Suppose -4*r = -2*k - k - 25, -5*k - 19 = -r. Solve 0 = -2*g - a - 3, 6 = 2*g - 0*a + r*a for g. -3 Suppose 3*h - 2*h = -2. Let v = h - -6. Solve -v*a = -4*u - 7*a, 4*u = -a for u. 0 Suppose 4*o - 6*o + 11 = 3*i, i + 5 = 0. Let x = -18 + 55. Let a(b) = b**2 - b - 2. Let h be a(3). Solve 5*g + x = -h*d, 0*d - d - o = 2*g for d. -3 Suppose 0 = 3*p + p + 56. Let c = 33 + p. Solve 0 = -4*v + 5*n - c, -4*v = v + 3*n - 4 for v. -1 Let v = 3 + -1. Solve 2*b + 0*b = 4*x - 4, -v*b - 2*x = 4 for b. -2 Let s(q) = -2*q - 7. Let w = -10 - -4. Let p be s(w). Solve 1 + 1 = -m - 2*t, p*m + 2*t = -18 for m. -4 Let v(s) = -s**2 - 2*s + 3. Let p be v(-3). Suppose p*j = -j. Let i be (-25)/(-10)*(j - -2). Solve 2*o + 3*k + i + 6 = 0, -4*o - 5*k = 19 for o. -1 Suppose 0 = 7*q - 6*q - 10. Let r be (-1 - 0)/((-2)/q). Solve 0 = -m - 4*h + 16, r*m + h + h + 10 = 0 for m. -4 Let l(u) = 2*u + 8. Let n be l(-3). Let g(p) = p**2 + 5. Let r be g(0). Solve r*y + n*a = -11 - 2, 8 = -y + 5*a for y. -3 Let i(s) be the second derivative of -s**5/20 - 7*s**4/12 - s**3 + 5*s**2/2 + 8*s. Let f be i(-6). Solve -20 = 5*c - 5*g, f*g = -3*c - 8 + 28 for c. 0 Let u(b) = b**3 - 8*b + 1. Let s be u(3). Solve 4*w + 16 = -s*j, -5*j + 1 = 16 for w. -1 Suppose -3*s + 12 = -0*s. Let i be s/(-2) + 3 - -1. Suppose 4*t = 2*t + 12. Solve i*w = 2*n + t, 4*w - 10 = 2*n - 0*n for w. 2 Suppose 2 - 1 = 2*z + 3*h, 13 = 4*z - 5*h. Let p(j) = -j**3 - 12*j**2 - 21*j + 5. Let i be p(-10). Solve -5*m + 2*d = -z + i, 0 = -3*m - 3*d + 9 for m. -1 Let q be 1*6 + (6 - 8). Solve -m - q*f = -3*m, 8 = 5*m - 2*f for m. 2 Suppose 1 + 19 = 2*q. Let p = 393 - 393. Solve 0 = -2*x - u + 2*u - 3, 5*x - 3*u + q = p for x. 1 Suppose -2*a = j - 8, -6*a + 3*a + 3 = -3*j. Suppose a*x - 17 + 5 = 0. Solve 2*c = -8, -5*k + x*c - 16 = 3*c for k. -4 Let k be -2 - -3 - -2 - 2. Solve -2*x + 5 - k = 2*q, -2*q + 4*x = -16 for q. 4 Suppose -2*q - 9 = 5*o, q - 2*o + 9 = -6*o. Solve -12 = -4*g, -9 = -q*f + g - 0 for f. 4 Let u be 0 - (-2 + 1)*8. Let l(n) = n + 11. Let x be l(-7). Solve 3*m + 0 - u = -o, x*o - 4*m = 16 for o. 5 Let f = -10 - -12. Solve -b - b = 5*c - f, 2*b - 2 = -3*c for b. 1 Let c(h) = 5 - 1 + 12 - h. Let m be c(12). Solve -f = -2*k + 3 + 1, -m = -k for f. 4 Let q(a) = -19*a - 2 - 14*a + 34*a - a**3 + 6*a**2. Let t be q(6). Solve -2*r + t*n = -20, -10 = -0*r + r + 3*n for r. 2 Let i(v) = -v + 6. Let j be i(2). Solve 0 = -3*p - n + 4, 6*n = j*p + 3*n - 27 for p. 3 Suppose 1 = 5*w - 14. Solve -2*z - 5*c - 24 = 0, -w*z - 2*z = 4*c + 26 for z. -2 Let n be (4/6)/((-3)/(-9)). Let s = 1 + n. Let d be (2/(-3))/(6/(-225)). Solve 0*a - 25 = -s*q + 2*a, -a - d = -4*q for q. 5 Let p(x) be the second derivative of -1/6*x**3 + 1/6*x**4 - 1/20*x**5 + 2*x - x**2 + 0. Let a be p(-2). Solve j + 4*h = 21, 5*j - j = 4*h - a for j. 1 Let n = 1 - 1. Suppose -5*t - 5*r - 1 = 39, -5*r = -5*t. Let d be (5 - t)*(-2)/(-6). Solve -2*b + 5 + 4 = h, n = -h + b - d for h. 1 Let m be 7/4 + 1/4. Let v be 0 + 10/(-15)*-3. Suppose m*j = j + v. Solve 12 = -2*o - 2*i, 3*o - i - j*i = -6 for o. -4 Suppose 29 = -4*k + 5. Let q(f) = f**2 + 7*f + 13. Let w be q(k). Solve -b - 2*s - s = -w, 0 = -2*b + s + 7 for b. 4 Let r = -116 + 119. Solve -r*g = 4*j - 2, 4*j - 7 + 3 = -2*g for g. -2 Let u(s) = s**3 - 3*s**2 + 4*s - 2. Let b be u(2). Solve -4*n - b*o + 3*o + 5 = 0, 0 = -3*n + 5*o + 8 for n. 1 Let q(c) = -c**2 + 11*c - 19. Let p be q(8). Solve 3*n + r - 9 = 0, -p*n - 2*r = 3*r - 25 for n. 2 Suppose 0 = -7*t + 20 + 1. Let h(i) = -5*i - 1. Let l(s) = -s + 3. Let p be l(4). Let r be h(p). Solve -w - 3*n - r = -2*w, 2*w - t*n = 8 for w. 4 Suppose -4*x - 7 = -4*v - 19, -18 = 2*v - 5*x. Let s be (15/9)/(v/3). Let t be (s - (-3 - -2)) + -1. Solve 5*k = t, -6*y + y = -k + 16 for y. -3 Let y be (-1 - 2/4)*-2. Suppose -y*w + 45 = 3*f, -3*w + 24 = 4*f - 22. Let t = w - 8. Solve 4*x = 3*o + o, -2*o - 4*x = -t for o. 1 Let o(l) = l**3 + 4*l**2 + l - 3. Let f be o(-3). Let s be (-4 - 14)/((-3)/2). Suppose 2*i + s = f*i. Solve i = 2*m + 4*y, -5*m = -0*m + 3*y - 23 for m. 4 Let w(q) = -q**3 + 9*q**2 - q + 10. Let h be w(9). Let z be h/(-3) + (-65)/(-15). Solve b = -z*a + 21, -a + 3 = b - 3 for a. 5 Suppose 83 + 7 = 5*l. Let y be 3/1*l/27. Solve -a + 1 = y*i, -a - 6 = 3*a + 3*i for a. -3 Suppose 3*s + r - 2 = -4*r, 0 = -3*s + r - 4. Let b(z) = z + 2. Let h be b(-5). Let y be h*(s + -2) + -3. Solve -2*p + 7 + 1 = 2*c, -2*p + 5*c = y for p. 2 Suppose 0 = 2*n + 1 + 5. Let a = 6 + n. Solve -5*o - 10 = -2*s + 3*s, -a*o = s + 8 for s. -5 Suppose -5*y + 0*y = 15. Let l be y/1*(-16)/3. Solve 5*z = 9 + l, -3*z + 11 = n for n. -4 Let q be ((-4)/(-1 - 1))/1. Let w be q/((-2)/((-20)/2)). Suppose 0 = -5*b + 2*z - 3*z + 28, 2*b - 5*z + 5 = 0. Solve n - 15 = -b*c, 4*n + w = 3*c + 1 for c. 3 Let n = 16 - 13. Solve -14 = 3*x - 2*s, -s - 18 = n*x - 7 for x. -4 Suppose -3*l + 75 = 60. Solve q - 17 = l*s, s + 4*q - 2 = -s for s. -3 Suppose 0 = -5*v, -2*y + 8 = -2*v + 4*v. Suppose 2*b - 1 = 3. Suppose -b*d + 2 = -2. Solve x + 2 = d*t - 5, 16 = y*t for x. 1 Suppose -3*t = -2*g - 5, 0*t + 2*t = -3*g + 25. Solve -j + 1 = c, 4*j - g - 15 = 4*c for c. -2 Let a = 4 - -14. Let w = a + -16. Solve 7*o - 4*o + z = w, -5*z = 5*o + 10 for o. 2 Let n(p) = -p**3 + 10*p**2 - 8*p - 7. Let b be -2 + 11 + 1 + -1. Let z be n(b). Suppose -z*a = -0*a - 2. Solve -4*l + 3 + 5 = -4*r, 5*l - 2*r - a = 0 for l. -1 Suppose -2*r + 4*r - 6 = 0. Let m be (1/(-2))/(r/6). Let b = m - -3. Solve 4*p = -b*i + 1 - 3, -3*i = 3*p for i. 1 Suppose 2*n + q - 16 = 0, -3*n - 7*q = -2*q - 17. Let k(g) = -6 - 5*g - n*g + g**3 + 8*g**2 + 4*g. Let b be k(-9). Solve -c + a = -1, 1 = 4*c + a - b for c. 1 Suppose -2*s - 2*s + 16 = 0. Solve 2*t - s*i = 8, -3*i - 6 = -t + i for t. 2 Let n(i) = 6*i**2 - i - 1. Let b be n(1). Solve b*f - 21 = -3*w - 6, 4*f = -5*w + 17 for w. 1 Let b be 9/(45/(-10)) - -5. Suppose f + 5*v = -2*f - 19, 5*v + 33 = 4*f. Solve -b*t - 4 = -f*s - 5, s - 2 = -t for t. 1 Let n = -1 - -1. Let d(i) = 1 + n - 1 + 4*i + i**2. Let m be d(-7). Solve 5*u + 3 = -4*p, 3*u - 5*p + m = -p for u. -3 Let m(k) = -k - 1. Let n be m(6). Let b = -3 - n. Let v = -5 + 7. Solve -5 = 5*z + 5*p, -b = -4*z - 2*p - v for z. 2 Let d be (-2 - (-10 - 2)) + -1. Suppose 0 = -5*p + d*p. Suppose p = m - 5*m. Solve 3*b - 5*r = 20, m*b + 4*r - 1 = -b for b. 5 Let w(s) = -s**3 - 11*s**2 - 9*s + 13. Let f be w(-10). Solve f*u = -2*j + 5 - 0, -4*j + 5 = u for j. 1 Let c be (-2)/10*-2*-5. Let n be (-62)/(-22) - c/11. Suppose -6*d - 4*y = -2*d - 16, -5*y - 5 = 0. Solve 31 = d*k + 4*w, 0 = n*k - 2*w + 3*w - 13 for k. 3 Suppose -5*h = 4*f - 0*h - 83, -4*h + 40 = 2*f. Suppose -3*m + f + 9 = r, -3*m = -2*r + 44. Solve 2*u - 3*b - 15 = -u, 0 = 5*b + r for u. 0 Suppose 0 = -2*k + 9 - 1, 3*s - 3*k = -6. Solve s*p + 2*m = -2 - 10, 2*m = p + 3 for p. -5 Let c be (0 - -13) + (-1)/1. Solve 4*j - 9 = -n, -j - 3*j - 4*n = -c for j. 2 Suppose 2*q - 8 = 3*t, 5*q + 4*t + 6 - 26 = 0. Let v be 0 + (q/2 - 0). Solve -v*y + 5*p = 9, -6 = -5*p - 1 for y. -2 Let d(b) = b**2 - 6*b + 9. Let h be d(5). Solve 0 = -c + h*v - 3, -4*c + 2*v + 1 = -1 for c. 1 Let s = -4 + 4. Suppose s*w + w = 2. Solve 3*l + 0*l = -4*z - 2, 2*z = -2*l - w for l. -2 Let l be ((-11)/33)/(2/(-12)). Solve -4*r + s = 19, -r - s = l + 4 for r. -5 Let a be 2/(-6) - 10/6.
{ "pile_set_name": "DM Mathematics" }
Let a = -4/33 + -2/165. Put 1/4, y, a, 0.4 in descending order. 0.4, 1/4, y, a Let u = 279.4 + -279. Let j = 70.883 + 0.117. Let y = -78 + j. Put 2, u, y in ascending order. y, u, 2 Let h be 3/21 + (2 - 52/(-28)). Suppose -5*l + g = 23, 0*l + 3*g - 25 = 4*l. Sort -3, l, h in descending order. h, -3, l Let f = 0.007 + 0.0516. Let u = -5.0586 + f. Sort u, 2, -0.5, -14. -14, u, -0.5, 2 Let y = -565 + 565.6. Let z = -44 + 47. Sort -3, z, y. -3, y, z Let j = 1952 - 1953. Put j, 8, 6, 1 in increasing order. j, 1, 6, 8 Suppose -3*v = 5*u - 1, 2*u + 2 = 2*v + 5*u. Suppose 3 = i + v. Sort 4, i, 83. i, 4, 83 Let r(n) = -2*n**3 - 19*n**2 - 11*n - 20. Let y be r(-9). Put 1.1, -1, y, -8 in descending order. 1.1, -1, y, -8 Let s = 109 - 86. Suppose -s = -4*h - 39. Put -27, h, 3 in decreasing order. 3, h, -27 Let c = 20662 - 20686.617. Let z = c - 0.183. Let x = z - -25. Put x, 3, -2 in descending order. 3, x, -2 Suppose 0 = -i + 2*h + 3, 4*h + 10 = 3*i - h. Suppose 0*r - 3*r + i*r = 0. Sort 1, 4, r, -2. -2, r, 1, 4 Let s = -174 - -166. Let t be 0 + (s/6)/(-4). Put t, -0.05, -4 in descending order. t, -0.05, -4 Suppose 7 = 5*v - 3, -2*d + 128 = v. Let p = -1073/17 + d. Sort 5, 0, -0.05, p. p, -0.05, 0, 5 Let d be 2/((-87)/(-580)*(-6)/9). Sort d, 1, -0.2, -0.07 in ascending order. d, -0.2, -0.07, 1 Suppose 550 = -74*c - 36*c. Sort -3, 1, 2, c in increasing order. c, -3, 1, 2 Let t be (456/323)/(-12) + 7/(238/(-132)). Let y = -11 - -50. Sort y, t, 3, 1 in descending order. y, 3, 1, t Let z = -1671 - -1661. Let f be 483/108 + 8/(-36) + -3. Put z, -4, f in decreasing order. f, -4, z Let t(p) = p**2 - 84*p - 352. Let c be t(-4). Let n = 541 + -539. Let z(d) = -d - 8. Let f be z(-4). Put f, -3, n, c in descending order. n, c, -3, f Let u(d) = d**3 - 8*d**2 + 6*d + 5. Let i be u(6). Let x be (9/2)/(114/(-3895)*5). Let w = x - i. Sort -1, w, -5, 0.2. -5, -1, 0.2, w Let i = 7953 - 7917. Put -5, i, -76 in descending order. i, -5, -76 Let h(i) = 110*i - 547. Let d be h(5). Let b = 30 + -60. Sort b, d, -2, 4. b, -2, d, 4 Let p = -2975 + 2982. Sort 52, p, 0 in increasing order. 0, p, 52 Let s = 5 + -1. Let r = -1817 + 1817. Put 0.5, -6, r, s in decreasing order. s, 0.5, r, -6 Let i(k) = 653*k - 3919. Let s be i(6). Put 0, -2, s, -8, 2 in ascending order. -8, -2, s, 0, 2 Let o be (-1)/((-3)/(-6)*-1). Let r be (-3)/12*-1*o. Suppose -39 - 6 + 18 = -27*w. Sort 4, 0.4, r, w in ascending order. 0.4, r, w, 4 Let m be -1*76/57*6*3/(-12). Sort 4, -29, m, 0, -5 in ascending order. -29, -5, 0, m, 4 Let y = 542 - 432. Suppose -13*s + y = -956. Sort s, -2, 4 in increasing order. -2, 4, s Let s(i) = 6*i - 81. Suppose -39 = 109*r - 112*r. Let t be s(r). Sort -0.3, t, 0, -3/4. t, -3/4, -0.3, 0 Suppose 0 = 30*z + 129*z - 159. Sort -9, -5, z, 0, 8 in descending order. 8, z, 0, -5, -9 Let h(a) = 34*a**2 - 327*a + 188. Let u be h(9). Put 9, -352, u in decreasing order. 9, u, -352 Suppose 16*a + 7 = -2*g - 15, g = -3*a - 6. Suppose -h + 6*h = -2*r - 15, 2*r + 10 = 0. Suppose 18 = -5*v + 2*v. Sort g, v, h. v, g, h Let k be (60/5)/1*(-1)/3. Put 202, -1, k in decreasing order. 202, -1, k Suppose -49*g = -51*g + 6. Let j = -1297 - -1295. Sort j, -18, -4, g in descending order. g, j, -4, -18 Let t be 8/(-190)*(-11)/(88/(-20)). Let j = 481/10 - 48. Sort 2, t, 0, j. t, 0, j, 2 Let p = 0.08388 + -4.08388. Let q = -4 - -3.7. Let r be -5 - (1 - (-9)/(-3)). Sort p, r, q in descending order. q, r, p Suppose 0 = -j + 2*q, 12*q = 7*j + 11*q + 13. Sort 21, 2, -1, j, 1. j, -1, 1, 2, 21 Let j(b) = -b**3 + 17*b**2 + 18*b - 2. Let w be 0 - -19 - 12*10/120. Let c be j(w). Put -7, 7, c in descending order. 7, c, -7 Let z(s) = 3*s - 30. Let u be z(13). Let d be (70/15)/((-3)/u - -1). Let j be (5 + -8 - 1) + 1*3. Sort d, 4, j in decreasing order. d, 4, j Suppose -241 + 37 = 17*y. Let o be 2/(3 - (4 - (-20)/y)). Put o, 21, -2 in descending order. 21, o, -2 Suppose -q - i = 2 - 14, -5*i = q - 28. Suppose 56 - 8 = q*f. Let t be ((-15)/25)/((-2)/10). Put 4, f, t in descending order. f, 4, t Suppose -3*j - 64 = -2*k + 2563, -5*j - 4365 = -5*k. Put -6, -1, j in increasing order. j, -6, -1 Let h = 125.37 + -126. Let p = 0.03 + h. Let g = -0.4 + p. Put -2/5, g, 4 in ascending order. g, -2/5, 4 Let f = 546 - 521. Let r = 0.04 + -1.04. Put f, -3/7, r in descending order. f, -3/7, r Let x = 6058 - 6050. Sort 0, x, -1/4, -1, 2/9 in descending order. x, 2/9, 0, -1/4, -1 Suppose 393*b = 20*b + 746. Put -13, 5, -17, 1, b in decreasing order. 5, b, 1, -13, -17 Let j = -13462 + 13450. Sort 4, j, -62. -62, j, 4 Let x = 155 + -155. Suppose -4*g + 8 = 4*r, -2*g - 3*r = -4*r + 8. Let b be (-3)/(3 + x) + (-2)/g. Sort 3, b, 1. b, 1, 3 Suppose 13*p = 15*p - 4. Suppose 0*d + 5*d = -5*q, 0 = -p*d - q - 1. Sort -4, -5, 2, d in ascending order. -5, -4, d, 2 Let w = 89 - 88. Let u be (5/(-2) + w)*(-13 - -7). Let c = 337/6 + -56. Sort u, -1/4, c. -1/4, c, u Let k = 5822 + -5848. Put 5, 1, -5, k in ascending order. k, -5, 1, 5 Let s = 4326 + -4326.082. Sort -0.21, 0.5, 4, s in descending order. 4, 0.5, s, -0.21 Let q = 1 + -5. Let g be (-30)/(2 - 12) + (-468)/180. Sort g, 11, q in decreasing order. 11, g, q Let t(x) = x**3 + 43*x**2 + 124*x + 157. Let o be t(-40). Suppose m + 15 = 4*d, -4*m - 3 = -2*d + 1. Put d, -11, o in descending order. d, o, -11 Let y = 720 - 710. Suppose -2*j - 2 = -2*w - 6*j, 5 = 5*j. Suppose 7 = 2*z - z - v, 0 = 2*z + 3*v + 6. Put w, -2, z, y in decreasing order. y, z, w, -2 Suppose -2*i - 34 = 2*m, 0*i - 4*m = 3*i + 50. Let x = -11 - i. Let b = 12785 + -12788. Sort -5, 0, x, b. -5, b, 0, x Let c = -0.3773 + 0.6773. Sort -2, 1/10, 2/1001, c in descending order. c, 1/10, 2/1001, -2 Let t(g) = 7*g**3 - 10*g**3 - 9*g + 2*g**3 - 6*g**2. Let c be t(-4). Sort 6, c, -1 in increasing order. -1, c, 6 Let y = 96.59 + -93.14. Sort y, 0.5, -2/3 in increasing order. -2/3, 0.5, y Let g(j) = -280*j**3 - j**2 - j. Let l be g(-1). Let z be l/1225*30/4. Sort -0.3, -6, z. -6, -0.3, z Let u be 20 - 3102/154 - 838/14. Sort u, 0.5, -5 in increasing order. u, -5, 0.5 Suppose 0*q = -5*q + 425. Let p = q - 83. Suppose -20 = -p*g - 5*o, -g - 3*o + 12 = 3*g. Sort g, -7, 1 in ascending order. -7, g, 1 Let i = 0 + 5. Let p(b) = 589*b**3 + b**2 - 3*b - 5. Let r be p(-1). Let t = r - -592. Put t, i, -7 in descending order. i, t, -7 Let v = -0.7 - 0.3. Let f be (-1 + 36)*(-4 - 174/(-42)). Put -2/3, f, v in increasing order. v, -2/3, f Let h be (-2 - -1 - -31)/(22 + -20). Suppose -5*r + 9*t = 4*t + h, r + 2*t = 3. Sort -4, -98, r in descending order. r, -4, -98 Let a = 63 - 50. Suppose 0 = 4*l - a + 1. Let g = -2.7 - 0.3. Sort g, -0.029, l. g, -0.029, l Suppose -26 = -13*z - 13*z - 0. Sort z, -8, -27 in decreasing order. z, -8, -27 Let z = 3 - 7. Suppose 0 = -41*v + 40*v + 272. Let d = -282 + v. Put z, 1, 2, d in descending order. 2, 1, z, d Let r be 3/5 + (-17)/(-5). Let y = 181 - 180. Suppose 0 = 3*z + r - y. Sort -20, -3, z in decreasing order. z, -3, -20 Let q(n) = -4*n**2 - 316*n - 10. Let d be q(-79). Sort 1, -8, d, -3. d, -8, -3, 1 Suppose 4*a + 122 = -y, -9*y - 232 = -7*y - 4*a. Let s = -121 - y. Put s, -4, 10 in decreasing order. 10, s, -4 Let u be ((-30)/(-65))/(-3) + (-2512)/(-104). Suppose 19*c = u - 43. Sort 4, c, -61 in decreasing order. 4, c, -61 Suppose g = 2*k + 12 - 39, 0 = -5*k - 2*g + 54. Suppose 0 = 2*o - 6, -k = -2*p - 0*o - 2*o. Suppose 0 = p*b - 3. Put -1, -12, b in descending order. b, -1, -12 Let h be ((-38)/798)/(15/70). Sort 2297, 1, h. h, 1, 2297 Suppose 3*m - 9 = 3*t, -28*m + 11 = -27*m - 3*t. Put m, 4, 17, 177 in decreasing order. 177, 17, 4, m Let v = 2814/11 + -14081/55. Put v, 7, 4/67 in descending order. 7, 4/67, v Let w be ((0 - -4)/2)/(75/150). Sort w, 1, -14, -3 in descending order. w, 1, -3, -14 Suppose -89 - 23 = -16*a. Let s = 53 - 6. Suppose 0 = 3*l - s + 56. Sort a, l, -5 in ascending order. -5, l, a Suppose 29*n + 3980 = -12463. Let c = n - -562. Sort 5, 0, c, 6. c, 0, 5, 6 Let w = 168 + -158. Let a be 12/w*450/135. Put -4, -3, 8, a in increasing order. -4, -3, a, 8 Let t(n) = -45*n**2 - 43*n + 1. Let g be t(-1). Sort g, 5, 0, 3, 761 in ascending order. g, 0, 3, 5, 761 Let m(z) = 2*z**3 + z**2 - 7*z + 2. Let b be m(3). Suppose -4*s = -3*h - 28, 8 - b = 4*h - 5*s. Let w = 7 + -7. Sort w, -3, h in decreasi
{ "pile_set_name": "DM Mathematics" }
rt(8)/sqrt(4) + sqrt(2) - (-5 + sqrt(2) + 1 + sqrt(2))) + sqrt(56)/sqrt(7) + sqrt(144)/sqrt(8). 6*sqrt(2) + 9 Simplify (1 + sqrt(700) + 2 + 1 + (-1 + sqrt(700) + -1 - 3*(sqrt(700)*2 + sqrt(700) - sqrt(700))))**2. -160*sqrt(7) + 11204 Simplify -6*(1 + (sqrt(343) + sqrt(343)*-1 + sqrt(343) + 1 + (sqrt(343) + -2*sqrt(343))*5)**2). -32940 + 336*sqrt(7) Simplify (2*(0 + (sqrt(10)/(sqrt(2)*-1) - (4 + 1 + sqrt(5))) + 1))**2. 64*sqrt(5) + 144 Simplify -2 + (sqrt(18)/(sqrt(6)*2 - sqrt(6)) + -2*(sqrt(48))**2 - (4 + -4*sqrt(108))). -102 + 25*sqrt(3) Simplify (((sqrt(100) - (sqrt(100) - (sqrt(100) + sqrt(100)*2 - sqrt(100))))*1)/sqrt(4))/((-6*2*sqrt(40))/sqrt(8)). -sqrt(5)/6 Simplify ((sqrt(96)*4)/sqrt(12))/(sqrt(64)*4 - sqrt(64)). sqrt(2)/3 Simplify (-1*(sqrt(475) + -5 - sqrt(475)) + sqrt(475))**2 + (sqrt(475) + -2 + -5 - sqrt(475))**2. 50*sqrt(19) + 549 Simplify (-4*(2*sqrt(200))**2*-6 + 4)*-6. -115224 Simplify (sqrt(33) - sqrt(4752)*-2)/(sqrt(24)/(sqrt(16)/sqrt(2))). 25*sqrt(11) Simplify (2*sqrt(76)*5)/(sqrt(4) + sqrt(100)*-3) + 1. -5*sqrt(19)/7 + 1 Simplify 3*4*1*1*sqrt(175). 60*sqrt(7) Simplify (-5*(5 + 0 + sqrt(19)*-2 - (1 + sqrt(1216) + 3)))**2. -500*sqrt(19) + 47525 Simplify ((sqrt(187) + (2*(sqrt(187) + sqrt(187)*-2) - sqrt(187)))/(sqrt(11)*-1*-3) + 0 + 3)**2. -4*sqrt(17) + 149/9 Simplify (sqrt(91)*-2*3)/sqrt(7) + 4 + sqrt(1053) + (0 + sqrt(1053))**2. 3*sqrt(13) + 1057 Simplify ((-1*(sqrt(60) - sqrt(960)))/sqrt(12) + 4 + 1*sqrt(45))*-5. -30*sqrt(5) - 20 Simplify (((sqrt(304)*-1)/sqrt(8))/(sqrt(50) + sqrt(3200) - sqrt(50)))**2. 19/1600 Simplify -4*((4*sqrt(170)*2)/sqrt(10) + 4 + 0). -32*sqrt(17) - 16 Simplify ((sqrt(756)/sqrt(768) - (4 + sqrt(63) + -3))*-5)**2 + 5. 525*sqrt(7)/4 + 79095/64 Simplify -4*((0 + sqrt(720))*-5 + -3 + sqrt(720) + 2*sqrt(720)). 12 + 96*sqrt(5) Simplify ((3*sqrt(153)*3 + -3*(sqrt(153) + -2 - sqrt(153)))*3)**2. 2916*sqrt(17) + 111861 Simplify (-1 + (sqrt(55) - sqrt(110)/sqrt(2))/sqrt(5) - 5*(sqrt(1584) - (-2 + sqrt(1584) + sqrt(1584))))**2. -1320*sqrt(11) + 39721 Simplify (5 + 4 + 2*sqrt(1008) + -5)**2. 192*sqrt(7) + 4048 Simplify 2 + ((sqrt(75) - (-1 + sqrt(75)))*-6)**2 + (sqrt(75)*1*-2)**2. 338 Simplify (6*(sqrt(102) - sqrt(102)*2))/(3*sqrt(864) + sqrt(864)). -sqrt(17)/8 Simplify ((sqrt(21) + (sqrt(63)/sqrt(3) - sqrt(21)))*-6)/sqrt(7) + (2*(sqrt(768) - sqrt(48)))**2. -6*sqrt(3) + 1728 Simplify ((0 + sqrt(1584))**2 - (sqrt(11) + (2*sqrt(1100) + sqrt(1100))**2 + sqrt(11)))*4 + -5. -33269 - 8*sqrt(11) Simplify (-6*(1*(sqrt(192) + sqrt(192) + -2*sqrt(192)) - ((sqrt(192) - (sqrt(192) - (0 + sqrt(192) + sqrt(192)) - sqrt(192))) + 0)))**2*-6*-5. 1866240 Simplify (sqrt(2) + 0)*-6*-2 + 4 + (1 + sqrt(2))*-2. 2 + 10*sqrt(2) Simplify (sqrt(768)*-4)/sqrt(4) - (sqrt(18)/sqrt(6) + 2)**2*5. -52*sqrt(3) - 35 Simplify -5 + (-1 + (sqrt(171) - (-3 + (sqrt(171) - sqrt(171)*-3)) - (1 + (sqrt(171) + -2 - sqrt(171)))))**2. -54*sqrt(19) + 1543 Simplify ((sqrt(75) + 1*sqrt(75))*2)**2 + (-1 + sqrt(75) + 1)**2. 1275 Simplify -2*(sqrt(448)*-1)**2 + (sqrt(112)*1)**2*-6. -1568 Simplify (1*-2*sqrt(170) + sqrt(170))/(6*sqrt(60)/sqrt(6)). -sqrt(17)/6 Simplify (((sqrt(104) - sqrt(104)*-2) + sqrt(104))*-5*2)/((sqrt(80) - 1*sqrt(80))/sqrt(10) - (2*sqrt(512) + sqrt(512) + sqrt(512))). 5*sqrt(13)/4 Simplify ((sqrt(7344) - (sqrt(7344) - (sqrt(7344) + sqrt(7344) + -1*sqrt(7344)*-3 + sqrt(7344) + sqrt(7344))))/(2*sqrt(108)*-4)*1)**2. 833/16 Simplify -1*(sqrt(26)/sqrt(2) + 1 + sqrt(52)/sqrt(4) + -2 - (sqrt(52) + -5 + -3 + sqrt(52)))**2. -101 + 28*sqrt(13) Simplify 6*(sqrt(51)*-3*6)/(-5*sqrt(147)). 108*sqrt(17)/35 Simplify (sqrt(15)/(sqrt(72)/sqrt(6)))**2 + sqrt(60)/(sqrt(120)/(-2*sqrt(10))). -2*sqrt(5) + 5/4 Simplify (-5 + -3*((sqrt(396) - (-2 + sqrt(396) + -2)) + (2 + sqrt(396))*-6))**2. 4104*sqrt(11) + 128665 Simplify (-4 + (5*sqrt(55))/sqrt(11) + -5)**2 + 3. -90*sqrt(5) + 209 Simplify ((sqrt(275) + (sqrt(275) - sqrt(275)*5))/sqrt(5))/((sqrt(99)*-2)/sqrt(9) - sqrt(11)). sqrt(5) Simplify sqrt(468) + (sqrt(468) + -1 + sqrt(468))*5 - (sqrt(468) - 3*(sqrt(468) + sqrt(468) + -3))**2. -11786 + 606*sqrt(13) Simplify 1 + (-6*(1*(sqrt(704) + sqrt(704) + 1) + -5))**2. -4608*sqrt(11) + 101953 Simplify ((2*sqrt(80) + -3 - (sqrt(80) - 3*(sqrt(80) + -1))) + 3 + 3)**2*-2. -2560 Simplify (-2*(sqrt(180) + -1) - (-3 + sqrt(180))*-2)**2 + 5. 21 Simplify (sqrt(180) + sqrt(180)*-1*3)**2 + sqrt(180) - (-1*sqrt(180)*-2)**2 - (-1 + -3 + (sqrt(180) - 1*sqrt(180)) + sqrt(180))**2. -196 + 54*sqrt(5) Simplify ((sqrt(468) - (sqrt(468) - (sqrt(468) - -4*sqrt(468) - sqrt(468))))**2*5 - (sqrt(468) - (sqrt(468) - -6*(sqrt(468) + -4*sqrt(468)))**2)) + -2. -6*sqrt(13) + 172690 Simplify -2*(4*(1 + sqrt(245) + sqrt(245)))**2 + -1 + -2 + sqrt(15)/sqrt(3) + 2. -31393 - 895*sqrt(5) Simplify (-2*sqrt(3800))/(sqrt(6)/(sqrt(24)/sqrt(8))). -20*sqrt(19) Simplify 1*(-3 + -3*sqrt(80)*-2). -3 + 24*sqrt(5) Simplify (sqrt(405)*-1)**2*2*-1 - (-1 + sqrt(5) + 5 + (sqrt(315)/sqrt(7) - sqrt(5))). -814 - 3*sqrt(5) Simplify ((-1*(sqrt(133) + 2*sqrt(133))*4)/(-2*sqrt(700)*-1))**2. 171/25 Simplify -5*((sqrt(245)*4 - ((sqrt(45)*-4)/sqrt(9))**2) + 3). -140*sqrt(5) + 385 Simplify (((-3*sqrt(540))/sqrt(9))/(-5*sqrt(432)))**2 + 3. 61/20 Simplify (sqrt(126)/((sqrt(27) + sqrt(135)/sqrt(5))/sqrt(9)))/(3*2*sqrt(600) - sqrt(600)). sqrt(7)/100 Simplify ((sqrt(189)*-3)/sqrt(7))/sqrt(9) + (5 + 0 + sqrt(3))**2 + -1 + -2. 7*sqrt(3) + 25 Simplify (-5*(-1 + (sqrt(1620) + -2*sqrt(1620))/(sqrt(16)/sqrt(4)*-3)))**2 + -5. -150*sqrt(5) + 1145 Simplify ((0 + sqrt(2048) + 3)*-4)**2. 3072*sqrt(2) + 32912 Simplify (sqrt(1600)*-4)/(sqrt(968) - sqrt(968)*-5). -20*sqrt(2)/33 Simplify 5 + (-4 + sqrt(208) + 1)*-3. -12*sqrt(13) + 14 Simplify -4*(-3 + (sqrt(2) - (-2 + sqrt(2))) + sqrt(2)) - (sqrt(10) + -2*sqrt(360))/sqrt(5). 4 + 7*sqrt(2) Simplify 2*(6*sqrt(1539))**2*6*5. 3324240 Simplify 5*(-2 + sqrt(1053))*6 + -3. -63 + 270*sqrt(13) Simplify (6*5*(((sqrt(150) - 2*sqrt(150)) + sqrt(150))/sqrt(6))/(sqrt(45)*1) + 0)**2. 0 Simplify (sqrt(833) + -2)**2 + -2 + 2 + 4 + sqrt(833) + (-1 + sqrt(833))**2 + 0. -35*sqrt(17) + 1675 Simplify -6*(sqrt(28)/sqrt(4))**2*-5*5*5. 5250 Simplify (2 + -2*sqrt(2448) + 3 - (-4 + -1 + sqrt(2448) + -3))**2. -936*sqrt(17) + 22201 Simplify (3*((-3 + 0 + sqrt(1088) + sqrt(1088) - sqrt(1088)) + (sqrt(1088) - -1*sqrt(1088))*-2)*3)**2. 11664*sqrt(17) + 793881 Simplify (-2*(sqrt(847) - (sqrt(847) + sqrt(847)*2 + sqrt(847) + -3) - (-1 + sqrt(847)*1))*1)**2. -1408*sqrt(7) + 54272 Simplify -3 + ((sqrt(500) + 1*sqrt(500) + 4)**2 - sqrt(500))*5 + -2. 750*sqrt(5) + 10075 Simplify (((sqrt(1008) + 0 + sqrt(1008) + -2)*-6 - (0 + 0 + sqrt(1008) + 2)) + 1)**2. -3432*sqrt(7) + 170473 Simplify (-1*sqrt(7)*3 + sqrt(448)*-1)**2*-6. -5082 Simplify 1 + sqrt(972)/sqrt(4) + (sqrt(150)/(sqrt(5) + sqrt(5) + 3*sqrt(5)))/sqrt(10). 1 + 46*sqrt(3)/5 Simplify (-1*sqrt(130)*-4 - (-2*sqrt(130) + sqrt(130))*3)/(4*sqrt(40)*-6). -7*sqrt(13)/48 Simplify (sqrt(84)/sqrt(2)*-3)/((sqrt(54)/sqrt(3))/sqrt(3)) - (sqrt(448) + -1 - (sqrt(315)/sqrt(5))/sqrt(9))**2. -344 + 11*sqrt(7) Simplify -1*(-4 + sqrt(245) + 4 - 2*(1 + sqrt(245)))**2. -249 - 28*sqrt(5) Simplify (sqrt(180) - (sqrt(180)*-1 + 1))*6 + 1 + 5. 72*sqrt(5) Simplify ((-2 + -2*-3*(sqrt(500) + (-4*(sqrt(500) + -2 + sqrt(500)) + sqrt(500) - sqrt(500))))*2)**2. -154560*sqrt(5) + 3536464 Simplify (sqrt(495) + 2*sqrt(495) + sqrt(495))/(sqrt(88)/(sqrt(64)/sqrt(8))). 12*sqrt(5) Simplify (5*(-2*sqrt(156) - sqrt(156))/sqrt(6))/(-2*(sqrt(200) - (sqrt(200)*-2 + sqrt(200) - sqrt(200))) + sqrt(200) - sqrt(200)). sqrt(13)/4 Simplify -2*((3 + -2*sqrt(242))**2 + 5*((sqrt(242) + 1)**2 - sqrt(242)) + 2) + 2. -4386 + 154*sqrt(2) Simplify sqrt(19) + (-2*sqrt(1216) - sqrt(1216)) + 5 + ((-4*sqrt(228))/sqrt(3))**2. -23*sqrt(19) + 1221 Simplify ((sqrt(560) - (sqrt(560) - (sqrt(560)*4 - sqrt(560))))/sqrt(10) + sqrt(56))/(-4*sqrt(512)). -sqrt(7)/8 Simplify -4 + (5*sqrt(5929))/(1*sqrt(567)). -4 + 55*sqrt(7)/9 Simplify (3*(sqrt(5000) + -2*sqrt(5000)))/(sqrt(110)/(-1*sqrt(99))). 90*sqrt(5) Simplify (-4 + sqrt(55)/sqrt(5) + -3 - (2*sqrt(198) - sqrt(22))/sqrt(2))**2. 56*sqrt(11) + 225 Simplify ((sqrt(5) - sqrt(45)/(sqrt(54)/sqrt(6)))*-4 + -5*(sqrt(5) - sqrt(400)/sqrt(5)))**2. 1125 Simplify (sqrt(9072)*3)/(4*sqrt(576) + sqrt(9)). 12*sqrt(7)/
{ "pile_set_name": "DM Mathematics" }
. Let h be 18/y - (-1)/2. Let g = -72 - -72. Solve r + g + h = 0 for r. -5 Let v = -164 + 170. Solve v + 24 = -10*a for a. -3 Let g = -149 + 157. Solve -5*z - 12 = -g*z for z. 4 Suppose 0 = -0*j - 4*j + 44. Let t be (-141)/(-21) - 2 - 80/(-280). Let x = 3 - 2. Solve -t*b = x - j for b. 2 Let v = -3 + 4. Let r(b) = -b**3 + 3*b**2 + 12*b - 2. Let y be (-1)/((-1)/(6 - 1)). Let s be r(y). Solve -3*z + s + v = 0 for z. 3 Suppose -65*p - 378 = -74*p. Solve 5*h = p - 17 for h. 5 Let p(l) be the second derivative of -l**3/3 + 6*l. Let t be p(-2). Solve 6*z - t = 4*z for z. 2 Let m = -20 + 21. Let x be 7 + -4 + 0/m. Let h be (1 - 2)/((-1)/6). Solve -x*t = -t - h for t. 3 Let g = -1325 - -1337. Solve -g*c + 4*c + 40 = 0 for c. 5 Suppose -241 = -4*z + d, -17*d + 14*d - 3 = 0. Solve 0 = -2*k + 14*k + z for k. -5 Let w(k) = 2*k + 17. Let u be w(-6). Let a = u + 12. Solve a = -3*g + 5 for g. -4 Suppose 0 = 6*v - 3*v - 9. Suppose 3*p + v = -4*y, -5*p + 3 - 34 = -2*y. Suppose 2*r = y*k + 20, -3*r + 5*k + 28 = -r. Solve -19 = r*t + 1 for t. -5 Suppose -3*m - 20 = -5*p + 4*p, 0 = -5*p + 3*m + 40. Let u be (2/(-5))/((-1)/p). Solve -u = 4*d - 3*d for d. -2 Let f(x) = -x + 1. Let v(t) = -8*t - 28. Let u(i) = 3*f(i) - v(i). Let w be u(-5). Solve w*j = 4*j - 8 for j. -4 Let q = 793 + -771. Solve -16*m + 12 = -q*m for m. -2 Let n be (3 + 4/(-4))*1. Let x be 1*10/(-4)*-2. Suppose a - 29 = x*b, -5 = 4*a - 9*a - 3*b. Solve -3*o + n = -a for o. 2 Let b(v) be the third derivative of -v**6/120 + v**5/10 + v**4/3 - v**3/2 - v**2. Let g be b(7). Solve 0 = i - g + 1 for i. 3 Let p(y) = 4*y + 43. Let j = -24 - -22. Let o(c) = c + 14. Let q(m) = j*p(m) + 7*o(m). Let b be q(12). Solve b = 4*h + 9 - 29 for h. 5 Let p(n) = n**2 - 9*n + 20. Let u be p(7). Let f = 7 - u. Solve 11 = -3*q - f for q. -4 Suppose -2*c - 320 = -336. Solve 9*l - 2 = c*l for l. 2 Let o(r) = r**2 - 6*r + 5. Let u be o(5). Suppose -4*s - s = u. Let m be 4/(-3)*(-9 - (-33)/44). Solve s = 5*d + m + 9 for d. -4 Suppose -26 = -4*c + 2*g, -39*c - 5*g = -35*c - 5. Solve 0 = 4*n + 7 + c for n. -3 Let n be 3 - 1 - 0/((-14)/(-2)). Solve 0 = -n*r + 4*r for r. 0 Let s be 7/(7/(-10)) - -4. Let l = s + 7. Let h be (-14 + 13)/(l/(-4)). Solve 5*j + 16 = -h for j. -4 Let h be 87/17 - (-10 - 860/(-85)). Solve h*s + 2*s = -21 for s. -3 Let b(n) = -3*n + 52. Let f be b(17). Solve -f = 4*i - 9 for i. 2 Suppose 0 = -5*y + 7*y - 4. Solve 0 = -x + y*x + 4 for x. -4 Let b be (-48)/(-21) + (-2)/7. Suppose -4*p = -4*a - 12, 5*a = -4*p + 32 - b. Solve a*g - 3 = -g for g. 1 Suppose -3*g - 173 = -218. Solve 4*b + g = 9*b for b. 3 Suppose 4*p = 2*t + 5 + 1, 2*t - 21 = -5*p. Let y(d) = d**3 + 4*d**2 + 4. Let k be y(-4). Let w = 3 - 3. Solve p*b - 5*b + k = w for b. 2 Let p be (-168)/(-40)*(-80)/(-24). Solve 11*c = -5*c + p*c for c. 0 Let l be 7 - ((0 - 1) + 3). Suppose -l*j - 3*z = 9, -2*j - 7 = 3*j + 4*z. Let g be j + (2 - 1) - -4. Solve 0 = -5*x - g - 18 for x. -4 Let v(i) = i + 4. Let f be v(-5). Let h be f/((4/6)/(-2)). Suppose -h*b - 3 = -4*b. Solve 0 = 2*k + k + b for k. -1 Let i be ((-1)/2)/(5/(-20)). Suppose 5*q - 38 = i*x + 2*q, 3*x + 54 = 3*q. Let m = -13 - x. Solve 0 = -f + m - 6 for f. -3 Let h(x) = -3*x + 14. Suppose -5 = 5*u + 15. Let g(t) = 2*t - 13. Let v(r) = u*g(r) - 3*h(r). Let f be v(-9). Solve 0 = q - 3 - f for q. 4 Suppose f = 4*k - 19, 0*f + 2*f = 5*k - 20. Suppose -l = -a - 5*l - 1, -3*a - 3*l = -k. Let v = -1318 - -1322. Solve a*p + v = p for p. -2 Let v(m) = m**3 - 6*m**2 - 6*m - 6. Let r be v(7). Let l be r + 3 + (-12)/12. Suppose l*y - 1 = -3*b + 2, 3*y = 5*b - 37. Solve -5*h + b + 5 = 0 for h. 2 Let z(f) = 2*f**3 + 97*f**2 - 53*f - 196. Let j be z(-49). Solve j = 9*r + 111 - 147 for r. 4 Suppose -8*l = -11*l + 6. Solve -p = p + l*p for p. 0 Suppose u + 21 = 3*a, 0 = 3*a - u - 2*u - 27. Suppose -11*k + 20 = -a*k. Solve 2*w = -0*w - k for w. -2 Let h = 36 - 35. Let t = h - -1. Solve 0*z = -t*z for z. 0 Let l be (-44)/(-36) + 3 - 8/36. Let h(s) = s + 3. Let f be h(-3). Let i = f - 0. Solve 2*o = -i*o - l for o. -2 Suppose -2*o + 12 = o. Let m be (0/(-2))/(1 - 2). Solve m = -5*z - o - 6 for z. -2 Suppose 2*q - 11 = 3*t - 2*t, 3*q + 3 = -5*t. Suppose 3 = -q*x + 5*x. Solve x*r = -3 + 18 for r. 5 Suppose -11*p = -58 - 690. Solve p*b = 62*b for b. 0 Let v be 2/8 - 63/12. Let n(f) = -f**2 + f - 1. Let c(k) = -k**3 - 4*k**2 - 6*k + 5. Let j(o) = -c(o) - 2*n(o). Let x be j(v). Solve -x*d = 3*d for d. 0 Suppose -2*a - 3*a = -15. Suppose 0*m + a = -i - m, -4*i + 5*m + 15 = 0. Let u be 0/(-2) + (i - -3). Solve 9 + 6 = -u*p for p. -5 Let c(g) = -10*g**2 + 7*g - 7. Let i(z) = 3*z**2 - 2*z + 2. Let w(d) = 2*c(d) + 7*i(d). Let n be w(1). Solve 1 = j - n for j. 2 Let v(h) = h - 15. Let z be v(20). Solve x = z*x + 12 for x. -3 Let m(c) = 2*c**2 + 151*c + 442. Let k be m(-3). Solve -15 = -k*u - 1 for u. 2 Let j = -79 - -149. Let a = j - 68. Solve -a*t - 2 - 4 = 0 for t. -3 Let a be 42/70 + 285/25. Let b(j) = -4 - 4 + 4*j - 3*j. Let x be b(a). Solve 0*s + 4*s = -x for s. -1 Suppose -662 = -17*y - 67. Solve 13*a - 6*a = -y for a. -5 Let c be (-14)/7 + 2 + 20. Suppose 2*n - c = -8. Solve -5*h - 5 = -n*h for h. 5 Let y = 84 + -56. Suppose -5*g + 2 + y = 0. Solve 4*t + g + 2 = 0 for t. -2 Suppose -4*c = 2*h - 0 - 2, -5*h - 5 = 5*c. Let q(a) = -a**2 - 8*a. Let f be q(-8). Suppose f = c*g + g. Solve g = -m - 1 + 5 for m. 4 Let a = 313 + -308. Solve 23 + 2 = -a*c for c. -5 Let c(r) = 4*r - 9 + 4*r - 2*r**2 + r + 1. Let u(j) = j**2 - 3*j + 3. Let h(m) = 4*c(m) + 11*u(m). Let f be h(-2). Solve f*l - 4*l - 12 = 0 for l. 4 Let g be (7/(-14))/(-3 + 21/6). Let y be (1 - g)/((-6)/(-15)). Let s(w) = -2*w**3 + 1. Let u be s(-1). Solve y*m - u*m - 10 = 0 for m. 5 Let c be 12/(-1)*1/2. Let h(w) = w**2 + 4*w - 6. Let g be h(c). Let a = 8 - g. Solve -4*p + 6 = -a for p. 2 Let m(g) = -g**2 - 10*g - 4. Let j be m(-5). Let a = j + -15. Suppose 12 = k + 10. Solve h = a - k for h. 4 Let l be (-136)/(-14) + (-4)/(-14). Suppose l = h + 4*h + d, 0 = -5*h + d + 20. Solve 3*j + 0 = h for j. 1 Suppose 2*b + 22 - 26 = 0. Suppose -b*s + 7 = -1. Solve -s*u = 4 - 8 for u. 1 Let q = 2 - 4. Let h(l) = 3*l + 2. Let z be h(q). Let v be -2*(-3)/6 - z. Solve v*n = -9 - 6 for n. -3 Suppose -3*q - 340 = -349. Solve 3 = -13*z + q for z. 0 Let n be ((-366)/12 + 5)*16/6. Let t = -66 - n. Solve 2*r - 3*r + t = 0 for r. 2 Suppose -5*f - 6 = -11. Suppose h + 2*h = 5*u - 5, 0 = -5*h + u - f. Suppose -4*q - 28 = -4*b, 0 = -3*b - h*b - 4*q + 56. Solve 5*r + b = r for r. -3 Let h(n) = -n**3 - 32*n**2 - 65*n - 26. Let z be h(-30). Solve z = -i + 119 for i. -5 Suppose c + 2*r - 4 = 0, 2*c = -2*r + 3 + 5. Solve 3*l = c*l for l. 0 Suppose -6*i - 18 = -4*i + h, 3*i + 2*h + 28 = 0. Let j be (1 - -2)*(-8)/i. Solve -j*n + 15 = -8*n for n. -3 Let u(m) = -m - 4. Let f be u(-9). Let k = 11 - f. Solve 2*l - k = -0 for l. 3 Let a = 40 + -54. Let j = a + 16. Suppose -j*z = z. Solve 0 = 4*c - z*c + 8 for c. -2 Let x be 3 - -2 - (0 - -5). Solve x = -d - d for d. 0 Suppose g - 5*j = 31, 4*j + 44 = 2*g + 2*g. Let i be (3/(-4) - -1)/(g/24). Solve -2*h = -h - i for h. 1 Suppose -u = -9 + 6. Let i be (7 - 6) + 1 + u. Solve 0 = i*x - 5 - 5 for x. 2 Let c(x) = -x + 24. Let l be c(24). Solve l = 2*k + k for k. 0 Let u(g) = g - 9. Suppose 0 = 5*t + 4*l - 3*l - 53, -3*l = 5*t - 59. Let i be u(t). Solve i = 3*y - 8 for y. 3 Suppose -3*b = 2*b. Suppose -v + 7 - 1 = b. Let a(r) = -r**3 + 6*r**2 + r - 3. Let u be a(v). Solve 2 - u = y for y. -1 Suppose 0 = 4*k + 5*q - 32 - 6, 5*k - 2*q - 64 = 0. Suppose -36 = -2*x - k. Solve -x = -o - 3*o for o. 3 Let i = -19 - -17. Let l be 4/16*i*2. Let w = 5 - l. Solve 9 = -3*z - w for z. -5 Let x be 7/(140/(-24))*595/(-51). Solve -8*b + x = -26 for b. 5 Let z(l) = -l**3 - 4*l**2 - 4*l + 1. Let a be z(-3). Let c = -13 + -27. Let p = -39 - c. Solve -f - p = a for f. -5 Let v = -12 - -14. Let w be (v/4)/((-19)/(-114)). Let l be (6/4)/(3/4). Solve 0 = l*k + 1 - w for k. 1 Let d be (-6)/(-27) - 4518/(-81). Let l = -55 + d. Solve 4*y - l = 7 for y. 2 Let k(u) = u**2 - 5*u - 10. Let b be k(7). Solve -8*s + 6*s = -b for s. 2 Let q = -66 + 60. Let j be q/(-18) + ((-384)/(-9))/4. Solve 4*u = j + 9 for u. 5 Let u = -119 + 122. Suppose -15*k + u = -14*k. Solve -3*g = -2*g + k for g.
{ "pile_set_name": "DM Mathematics" }
6 - j**2 - 182*j. Give 6*f(x) + 7*k(x). -x + 6 Let n(r) be the first derivative of 21*r**2/2 - 6*r + 171. Let y(l) = -21*l + 7. Give 6*n(f) + 5*y(f). 21*f - 1 Let t(f) = -13*f + 39. Let d = -37618 - -37612. Let b(z) = 7*z - 20. Determine d*t(q) - 11*b(q). q - 14 Let q(g) = 6*g**3 + g**2 + 4*g + 4. Let y(j) = -j**3 - j - 1. Let t = -6 - -10. Let v(x) = 8981*x + 8982. Let c be v(-1). Determine c*q(k) + t*y(k). 2*k**3 + k**2 Let g(n) = -3*n - 36. Let u(b) = -3*b - 15. Determine -4*g(o) + 6*u(o). -6*o + 54 Let i(v) = -6*v**2 - 138*v + 9. Let m(a) = 6*a**2 + 209*a - 14. What is 8*i(q) + 5*m(q)? -18*q**2 - 59*q + 2 Suppose -59*p + 531 = -169*p - 129. Let g(s) = 4 - 5*s - 12 + 2*s. Let u(h) = 2*h + 7. What is p*u(o) - 5*g(o)? 3*o - 2 Let b(g) = g**2 - 3. Let w(u) = -8*u**2 + 20. Let f be (6 + 0)/((-30)/(-20)) - 1. Suppose -10 = -7*d - f. Let z be 2/d*9/(-18)*3. Determine z*w(n) - 20*b(n). 4*n**2 Suppose 3*v = -g - 18, -g - 7 = 4*v + 13. Let h(q) = 12*q + 5. Let j = -1356 - -1361. Let l(r) = 30*r + 12. Determine g*h(t) + j*l(t). 6*t Let n(l) = 13*l. Let i(b) = -25*b. Let t(u) = 67*u. Let k(o) = 8*i(o) + 3*t(o). What is -2*k(c) + n(c)? 11*c Let v be -11 + (-9 + 3)/2. Let m(i) = 10*i + 1. Let t = -21134 + 21132. Let j(d) = -d. Give t*m(c) + v*j(c). -6*c - 2 Let w(t) = 6*t**3 - 4*t**2 - 2*t + 11. Let m be w(0). Let h(n) = 8*n**3 + 4*n**2 + 3. Let f(x) = 25*x**3 + 11*x**2 + 8. Calculate m*h(i) - 4*f(i). -12*i**3 + 1 Let b be (9/6)/(-3)*36. Let f be (27 + -25)/(-2*(-2)/2462). Let i(a) = -f*a**2 + 3*a + 1230*a**2 - 2*a. Let q(j) = 8*j**2 - 9*j + 1. Give b*i(v) - 2*q(v). 2*v**2 - 2 Let l = 12 - 7. Let j(k) = 4*k - 9. Let a(i) = -6*i + 14. Let w = -4558 - -4566. What is l*a(x) + w*j(x)? 2*x - 2 Let r(g) = -g**2 + 16. Let c(y) = 2*y**2 - y - 3. Let t(a) = -14*a**2 + 6*a + 49. Let b(x) = 6*c(x) + t(x). Determine 2*b(z) - 5*r(z). z**2 - 18 Let d(h) = -12*h**2 + 79*h + 65. Let k(o) = 7*o**2 - 47*o - 33. Let p(q) = -3*d(q) - 5*k(q). Let v(s) = -s**2 + 2*s + 31. Determine -3*p(i) - 2*v(i). -i**2 + 2*i + 28 Let g = 548 - 548. Suppose 0 = -4*d - 20, g = -0*t - 5*t + 3*d + 25. Let l(k) = -k**3 + k + 1. Let i(w) = 4*w**3 - 2*w - 2. Determine t*l(v) + i(v). 2*v**3 Let m(b) = 1781894*b**2 - 14126. Let w(p) = 1009*p**2 - 8. Determine -4*m(s) + 7063*w(s). -1009*s**2 Let k(z) = -z**3 + z**2 + 3*z - 1. Let s(g) = 19*g**3 + 7*g**2 - 31*g + 7. What is 10*k(n) + s(n)? 9*n**3 + 17*n**2 - n - 3 Let u(w) = 1216*w**3 - 95*w + 95. Let p(x) = 104 + 8*x**3 - 46*x**3 - 309 + 101 + 3*x + 101. Give 95*p(t) + 3*u(t). 38*t**3 Let b(p) = -236*p + 176. Let j(f) = 78*f - 59. Let n(u) = 4*b(u) + 13*j(u). Let q(i) = i - 1. Calculate 2*n(w) - 126*q(w). 14*w Let v(d) = -16*d - 147. Let l(b) = 5*b + 52. Let x(s) = 8*l(s) + 3*v(s). Let t(u) = -2*u - 6. Calculate 26*t(z) - 6*x(z). -4*z - 6 Let r(h) = 16*h**2 + 55*h - 7. Let t(o) = -55*o**2 - 48*o + 12. Let s(x) = 45*x**2 + 42*x - 10. Let p(n) = 5*s(n) + 4*t(n). Give -7*p(a) + 2*r(a). -3*a**2 - 16*a Let g(q) = 156*q. Suppose z = 6, 3*s + 39*z = 41*z - 18. Let n(x) = -2*x. Calculate s*g(l) - 130*n(l). -52*l Let b(q) = 4*q**3 - 2. Let r(s) = -49 + 5 + 13 + 20*s**3 + 12 + 8. Suppose -12*d = -17*d - 10. Give d*r(l) + 11*b(l). 4*l**3 Let j(t) = 8*t**3 - 2*t**2 + 1. Let a be j(1). Let g(b) = -13*b + 11. Let x(w) = 19*w - 17. Let z(k) = a*g(k) + 5*x(k). Let p(s) = -1. Determine 8*p(y) - z(y). -4*y Let y(f) = -640*f + 53. Let n(s) = 427*s - 38. What is -7*n(i) - 5*y(i)? 211*i + 1 Let k(x) = 140*x**2 + 14*x + 11. Let l(m) = 7*m**2 + 2*m. Give -2*k(a) + 14*l(a). -182*a**2 - 22 Let b(p) = -183*p - 2. Let m(i) = 359*i + 5. What is -9*b(y) - 4*m(y)? 211*y - 2 Suppose -3*r + 2*t = -5, 0*t - 2*t + 15 = r. Let d(f) = -4*f + 3. Let w(b) = 5*b - 11 + 17 - 13 + 4*b. Give r*d(s) + 2*w(s). -2*s + 1 Let p(h) = 22*h**3 - h**2 - 8*h + 287. Let z(j) = -5*j**3 + 2*j. Determine p(q) + 4*z(q). 2*q**3 - q**2 + 287 Let z(i) = 118*i**2 - 30*i - 3. Let a(h) = -707*h**2 + 195*h + 19. Calculate -6*a(j) - 39*z(j). -360*j**2 + 3 Let v(d) = -9*d**3 + 4*d**2 - 6. Let s be 225/33 + (-8)/(-44). Let k(j) be the first derivative of j**4 - 2*j**3/3 + 3*j - 3429. Calculate s*k(h) + 3*v(h). h**3 - 2*h**2 + 3 Let i(m) = -474*m**2 - 156*m - 65. Let k(d) = 119*d**2 + 39*d + 15. Calculate 3*i(s) + 13*k(s). 125*s**2 + 39*s Let u(k) = -83*k - 5. Let y(z) be the second derivative of 62*z**3/3 + 7*z**2/2 - 3361*z. Calculate -7*u(t) - 5*y(t). -39*t Let r(m) = -m**3 - 2*m**2 - 4*m - 1. Let u(c) = -8*c**3 + 3*c**2 - 20*c - 1. Give 5*r(n) - u(n). 3*n**3 - 13*n**2 - 4 Let x(m) = 21*m + 1. Let t(z) = 16*z + 1. Determine -2*t(p) + 3*x(p). 31*p + 1 Let s(y) = -7*y**3 - 9*y**2 - 6*y. Let n = 5256 - 5257. Let d(t) = -t**3 - t**2 - t. Give n*s(a) + 6*d(a). a**3 + 3*a**2 Let f(r) = -9*r + 21. Let h(w) = 14*w - 98. Let y be h(8). Suppose -6*p - y*p - 420 = 0. Let a(d) = -d + 2. Give p*a(c) + 2*f(c). 3*c Let i(a) = -a**2 + 5*a. Let n = -5422 + 5420. Let c(d) = -d**2 + 4*d. Give n*i(g) + 3*c(g). -g**2 + 2*g Let j(w) = 1926*w**2 - 15*w - 1. Let p(r) = -5771*r**2 + 42*r + 2. Give -11*j(z) - 4*p(z). 1898*z**2 - 3*z + 3 Let v(w) = -6*w**3 - 2*w**2 + 4*w + 5. Suppose 190*k - 96*k + 12 = 98*k. Let r(t) = 5*t**3 + 2*t**2 - 5*t - 4. Calculate k*v(m) + 4*r(m). 2*m**3 + 2*m**2 - 8*m - 1 Let n(j) = -31*j**2 - 86*j - 23. Let s(r) = -11*r**2 - 30*r - 8. Calculate -6*n(z) + 17*s(z). -z**2 + 6*z + 2 Let i(l) = l. Let y(o) = 17*o + 20. What is 2*i(q) + 2*y(q)? 36*q + 40 Let v(x) = -2*x**2 - 5*x - 3. Let b(u) = -u**2 - 6*u - 4. Let l = 346 + -320. Suppose -13 = -3*z + l*w - 27*w, -3*z - 3*w + 3 = 0. Calculate z*v(i) - 5*b(i). -7*i**2 + 2 Let u(l) be the first derivative of 2*l + 245. Let j(t) = -t + 5. Suppose 5*a + 3*q - 6 = 19, -25 = -5*a + 2*q. Calculate a*u(i) - 2*j(i). 2*i Let t(f) = f**3 + 1. Let q(r) = -6*r**3 - 15. Let w(n) = n**3 + 13*n**2 + 18*n + 5. Let p be w(-13). Let c = p + 244. Determine c*t(v) + q(v). 9*v**3 Let z(m) = 19*m - 2. Let r(f) = 41*f - 16. Calculate -r(p) + 2*z(p). -3*p + 12 Let o(f) = -4 - 3 + 6. Let s = -15561 + 15567. Let y(d) = -3*d**2 - 6. Give s*o(l) - y(l). 3*l**2 Let p(o) = 109*o - 60. Let u(q) = -118*q + 48. Calculate -3*p(v) - 4*u(v). 145*v - 12 Let k(f) = -3*f**3 + 7*f**2 - 5*f + 2. Let w(y) = y**3 - 3*y**2 + 2*y - 1. Let z be (-20)/(-55)*(-4 + ((-44)/(-8) - -4)). Calculate z*k(u) + 5*w(u). -u**3 - u**2 - 1 Let z(o) be the second derivative of o**5/10 - o**4/12 + o**3/6 - 3*o**2/2 + o + 25. Let a(g) = g**3 - 1. Let q be (-1)/(0 - (-4)/8). Determine q*z(r) + 6*a(r). 2*r**3 + 2*r**2 - 2*r Let d(s) = -80*s**2 + 62*s - 3. Let c(r) = 34*r**2 - 30*r + 2. Give 7*c(p) + 3*d(p). -2*p**2 - 24*p + 5 Let k(h) = 7*h**3 + 2*h**2 + 6*h - 2. Let c be 15/5 - (-1 - -1). Let f(q) = 9*q**3 + 14*q**c - q - 24*q**3. Let o = -122 + 128. Determine o*f(d) + k(d). d**3 + 2*d**2 - 2 Let g(c) = 999*c**2 - 3*c. Let f(o) = 4*o**2 + o. What is -5*f(n) - g(n)? -1019*n**2 - 2*n Let m(i) = -47*i**2 - 17*i + 62. Let h(f) = -204*f**2 - 67*f + 248. Give 3*h(r) - 13*m(r). -r**2 + 20*r - 62 Let f be (-3)/(-2 - (-1 - 0)). Let x(a) = 159*a**2 - 1 + 134*a**2 + 26*a + 34*a - 57*a - 292*a**2. Let r(q) = q + 1. Let n = -1 - 0. Calculate f*r(d) + n*x(d). -d**2 + 4 Let z(h) = -h - 319. Let k(i) = 11. Determine 18*k(d) + 2*z(d). -2*d - 440 Let r(n) = 4*n - 1. Suppose 19*b = -5*q + 17*b + 20, -q - 4*b = -22. Let j = 126 + -115. Let h(k) = -21*k + 5. Determine j*r(l) + q*h(l). 2*l - 1 Let s = -32087 + 32010. Let b(f) = -7*f**3 + 6*f**2 + 6*f + 6. Let x(v) = 41*v**3 + 77*v + 77 + 40*v**2 + 37*v**2 - 132*v**3. Calculate s*b(g) + 6*x(g). -7*g**3 Let u(m) = 5*m - 2. Let c(i) = 14*i - 5. Let v = 539 + -550. Let l(y) = -y**2 - 6*y + 4. Let s be l(-6). Calculate s*c(g) + v*u(g). g + 2 Let p(i) = -i**3 - 6*i**2 - 2*i + 4. Suppose -65*c = -407*c - 684. Let s(b) = b**3 + b - 1. Calculate c*s(k) - p(k). -k**3 + 6*k**2 - 2 Let s(y) = -21*y**2 + 317*y. Let k(t) = 64*t**2 - 975*t. Calculate -3*k(z) - 8*s(z). -24*z**2 + 389*z Let n(c) = 2*c + 3. Let s(t) = t**3 + 23*t**2 + 43*t + 24. Let w be s(-21). Let q(f) = 3*f - 6. Let z be q(w). Let u(g) = -2 + g + 6 + 0. Give z*n(x) - 2*u(x). 4*x + 1 Let y(c) = -8*c - 5. Let w(x) = -18*x - 9. Let d(b) = 2*w(b) - 5*y(b). Let p(v) = 9 - 5 + 4*v - 3*v - 3. Give -d(l) + 3*p(l). -l - 4 Let j be 31 - 638/132*6. Let u(a)
{ "pile_set_name": "DM Mathematics" }
*u)/((u/(u*((u*u**3)/u)/u)*u)/u)**(-36))**5 assuming u is positive. u**(-86945/264) Simplify ((q**(-1/2)*(q*q**(-28))/q*q)/(q**(4/3)*q**(-2/21)))**(29/2) assuming q is positive. q**(-35003/84) Simplify (z**0/(((z*z**(-4/7))/z)/z))/(z**(-2)/z*z*z*z/z**(-5))*z*z/z**(2/13)*z/(z**(-2/3)/z*z)*(z/(z*z**(1/4)))**36 assuming z is positive. z**(-2434/273) Simplify (k**(1/6)*k*k*k**41*(k*k*k/(k/(k*k*k**(-2/53)/k)))/k**5)**(4/9) assuming k is positive. k**(26158/1431) Simplify ((k*k*k**(5/4))/k**2)**28*(k*(k*k**0)/k*k)**(-1/55)/(k**0/k**(1/3)) assuming k is positive. k**(5824/165) Simplify ((z/(z*(z/(z/z**3))/z))**12*(z**(-1/15))**38)**19 assuming z is positive. z**(-7562/15) Simplify (((o**(-2/11)/o*o/o**(-2/5)*o)/(o**(2/5)/o)**(16/7))**(-6/13))**(-1/9) assuming o is positive. o**(1994/15015) Simplify ((m**(1/9)/(m*m*m**(-2/9)*m*m))/(m/(m*m**0*m))**24)/(m**4*m**(-2)/m*m*m*m**(-6/7)*m**(1/2)) assuming m is positive. m**(743/42) Simplify (d*d**(-1/3))**(-11)/(d**(-1))**(6/7)*(d**3/d**6)/(d**(-3)/(d*d*d**(-6/11))) assuming d is positive. d**(-1160/231) Simplify (((z**(2/5)/z)**(-6/17)*z*z**(1/6)*(z/z**(-6/5))/z)**(-2/13))**(-50) assuming z is positive. z**(13150/663) Simplify (l/(l**(1/3)*l))**(-38)*l**(-4)*l/(l*(l/l**5)/l)*((l*l/l**(-2/7))/((l/(l**(1/3)*l))/l))/(l**2)**(-34) assuming l is positive. l**(597/7) Simplify ((l*l*l**(4/3)*l*l**(-5)*l)/(l*l**1*(((l*l**7)/l)/l)/l))/(l/(l/(l*((l*l*l/(l*l/l**(2/3)*l)*l*l)/l)/l))*l**(-2/15))**24 assuming l is positive. l**(-652/15) Simplify (m**4/((m**3*m)/m))**(4/9)/((m**(-3)/((m*m**(-2/3)*m)/m))/(m**(-4/9)*m**1)) assuming m is positive. m**(13/3) Simplify (m**(-4/5)*m**5)**0*(m**(-6)*m*m**(-1))/(m**(-1))**(-11/6) assuming m is positive. m**(-47/6) Simplify (w*w/w**(8/7))**(2/3)*w**(-14/5)*(w*w/(w**(7/9)*w*w))/w assuming w is positive. w**(-1262/315) Simplify (v**0*v**(1/3))**(20/9)*v/(v**(-1)/v)*v/(v*v*v*v*v**(3/7)*v*v*v)*v*v/v**5*v*v*v*v*v**0*v assuming v is positive. v**(-130/189) Simplify ((u/(u**(-10/11)/u))/((u**(2/7)/u)/u))**(-20/9)/(((u*u*(u/(u*u**8*u))/u)/u)/(u**(3/5)*u)*u**(1/2)*u**7) assuming u is positive. u**(-49717/6930) Simplify (((j/(j**(-2/45)/j))/j*j**(-13))/(j**0)**24)**(-3/32) assuming j is positive. j**(269/240) Simplify (((r/(r**3*r*r))/(((r*r/(r/r**(3/11)))/r)/r))/(r*r/(r/r**1))**(4/13))/((r**(-3/7)/(r/r**(-3/7)*r))/(r/(r**(-1/3)*r))**(2/133)) assuming r is positive. r**(-58538/57057) Simplify ((((d*d/d**0)**26)**43)**50)**(-40) assuming d is positive. d**(-4472000) Simplify ((z**(2/9))**(-6/17)*(z/z**(-2/3))/z**(-6))/((z**(2/31)*z)/z**3)**(5/8) assuming z is positive. z**(9273/1054) Simplify (q/(q**(2/11)*q)*q**0)/(q**(2/5))**(30/7)*(q**(-2)*q**6*q)**(-33) assuming q is positive. q**(-12851/77) Simplify (a*a/(a/(a*a**(-15/7))))**(3/13)*a**(1/60)/a*a/a**(2/7)*a assuming a is positive. a**(3811/5460) Simplify (j**(3/7)*j**(-2))**(-10/9)/(j*(j*j**(3/8)*j*j)/j*j*j**0/j)**(-1) assuming j is positive. j**(2581/504) Simplify ((k*k*k*k*k**(-2/99))/((k*k**(-26)*k*k*k)/k))/(k**(2/5)*k**49) assuming k is positive. k**(-11098/495) Simplify ((a**(-4/15)*a*a**(2/123)/a)/(a**(-2/7)/a**(-3/10)))**(-27) assuming a is positive. a**(20511/2870) Simplify ((((z*(z/(z*z**(2/19)))/z)/z**(-1/8))/(z**(2/25)/(z/(z*z*z*z**0*z*z*z*z))))**(-1/56))**35 assuming z is positive. z**(23029/6080) Simplify ((i**(-1/5)*i/(i*i**(-5)*i))/(i**(1/4)/(i*i*i*i**(2/25))))/((i**(1/4))**(3/40)*i**(-3/8)*i/(i/i**7)) assuming i is positive. i**(-11/800) Simplify (((x**(-1/3)*x*x)/x**(-3))/(x**(2/7)/x)**(17/2))/(((x/(x*x/x**(-2/5)))/x**(-3/2))/(x**(-1)/x)**(1/7)) assuming x is positive. x**(1087/105) Simplify ((b*b/b**(-8)*(b/(b**(1/4)*b))/b)**(-15/7))**17 assuming b is positive. b**(-1275/4) Simplify (((b**(-13)*b**(-5))**(-2))**(-26))**19 assuming b is positive. b**(-17784) Simplify (h**7)**(-38)*(h**2)**(-6) assuming h is positive. h**(-278) Simplify (((x**1/x)**41*(x**(-1/4))**17)**(18/13))**(-41) assuming x is positive. x**(6273/26) Simplify ((g**(1/4)*g)**(5/16)*((g/(g**(-18/5)/g*g*g))/g*g)/(g/(g/(g/((g/(g**37*g*g))/g)))))**(1/8) assuming g is positive. g**(-11523/2560) Simplify ((o/(o*(o**(-3)/o)/o))/(o**(-3)*o))**(-2/77)/((o**(2/3)*o)**35/(o/o**5*o**8)) assuming o is positive. o**(-1799/33) Simplify (z**(-5)/(z/(z**(-1)/z)))**18/(z**8/z**(-2))**44 assuming z is positive. z**(-584) Simplify ((z/z**(3/4))/z*z**(-1/3))**(-7)/(z/(z*((z/(z**(-2/3)/z)*z)/z)/z)*z*z*z**(-6)*(z**(2/3)*z)**(-3/11)) assuming z is positive. z**(603/44) Simplify (((a/(a**(-5)/a))/a)/a)/(a*a/(a*a/a**(-6))*a*a)*(a*a/((a**(-1/3)*a)/a))**(-10/3)*(a**8*a*(a*a/(a**(-2)/a)*a*a)/a)**(2/99) assuming a is positive. a**(151/99) Simplify (((i**(-1/4)/i)/i*i)**1/(i**(-3/4)/i**(-4/5)))**(-25) assuming i is positive. i**(65/2) Simplify ((s**(-4/5)*s*s)/((s*s/s**(-2/11))/s))**(-12/13)/((s**(1/3))**(-13))**31 assuming s is positive. s**(288109/2145) Simplify ((i**4/(i*i**(-3/4)*i))/(i**(1/4))**(1/41))/((i**0)**(-35)*(i*i**(-4/5))/i**3) assuming i is positive. i**(2273/410) Simplify (((q**6*q/q**(4/5))/((q*q**(6/5)*q)/(q*q**0)))**31)**(-21) assuming q is positive. q**(-2604) Simplify ((((q*q**8*q)/(q/(q*q/(q*q**7))))/(((q/(q/(q**5*q)))/q)/((q*q*q/(q/(q**8/q)))/q*q)))**18)**(9/8) assuming q is positive. q**(567/4) Simplify (t/((t*t/t**(-20))/t)*t**(-41))/(t**16)**(-14) assuming t is positive. t**163 Simplify (((h*h/h**(2/7))**(-26)*h**(3/2)*h*((h/(h**(1/5)/h))/h)/h*h)**(-3/20))**(-20/3) assuming h is positive. h**(-2889/70) Simplify ((f**7/f**3*f/((f*f/f**(2/9))/f)*f**(5/6))**(-27))**(-5) assuming f is positive. f**(1365/2) Simplify ((k/k**(-31))/(k**(-4/7)/k)*(k/k**(-2/7))**(-37))**(-4/7) assuming k is positive. k**8 Simplify ((q**(2/11)/(q*q/(q**4*q*q)*q)*q**(1/3)/(q/(q**(-3/2)/q)))**46)**(-8/9) assuming q is positive. q**(-184/297) Simplify (x/x**(-11))/(x**(-12)/x)*(x/(x/(x**(-7/8)/x)))**50 assuming x is positive. x**(-275/4) Simplify ((s/s**(1/2))**(-9/2)*s**(-1/3)*s**(-7/5))/((s/(s*s*s**(-2/7)))**(1/34))**(-20) assuming s is positive. s**(-31441/7140) Simplify ((y/(((y*y**40)/y)/y))/y*y*y)/y*y**(-1/48)*(y/(y/y**(3/25))*y)/(y*y**(-4)*y) assuming y is positive. y**(-41881/1200) Simplify p/p**(11/2)*p**(-33/5)*p*p**(2/11)*p*(p/(p/(p/(p/p**(-11)*p)*p))*p)/p assuming p is positive. p**(-2191/110) Simplify ((u/(u/u**4))/(u/(u/u**(-6/13))))**(-13)*(u**(1/11)/(u*u**(-1)))/(((((u/u**(2/11))/u)/u)/u)/u**(-2)) assuming u is positive. u**(-635/11) Simplify ((z**7/z)/(z*(z/z**(1/11))/z))**(-7/10)/(z**(-11)/(z/(z/(z*z/z**(-7)))))**(-48) assuming z is positive. z**(-52996/55) Simplify (o**(-8)*o/(o*o/(o**(1/10)/o*o))*(o**(-7/4))**(-6))**(-44) assuming o is positive. o**(-352/5) Simplify ((y**6/(y/y**(-5)*y)*((y*y**(-1))/y)**(-8/3))**(-4))**(3/7) assuming y is positive. y**(-20/7) Simplify ((t/((t*t**(-6))/t)*t**(-32))/((t/((t*t/(t/((t*t/(t*t*t*t**(-2/91)*t*t))/t)))/t))/(t**(-37)*t)))**(-17/5) assuming t is positive. t**(102068/455) Simplify (w**(-2/5)/(w**(-1/4)*w)*w**(-4/3)/w**(-1))/(w**(-2/17)*w**0*((w*w**0)/w)**33) assuming w is positive. w**(-1393/1020) Simplify ((v**(-2/7)*v)**(10/11))**(-50)*(v*(v**(-5)*v)/v*v/v**(-5))**(1/20) assuming v is positive. v**(-24923/770) Simplify ((t**(1/2)*t*t)**(-7/5)/(t**(-1)*t*t**(1/7)/t))/(t*t/(t/(t*t**(-2/7)*t)*t*t*t)*t**(1/5))**(7/11) assuming t is positive. t**(-1993/770) Simplify c**(1/4)*c/c**(-2/21)*c**(1/10)/(c*c/(c/(c*c*c**(-4)/c))*c)*(c**(-6)/(c/(c**(1/7)/c)))/((c*c**(-1/4))/c)**(-4) assuming c is positive. c**(-2693/420) Simplify (w**(-33)*(w**(-6)/w)/w*(w*w**(-3/4)*w)**(-4/33))**21 assuming w is positive. w**(-9506/11) Simplify (n*n/(n**(-5)*n)*n**4*(n/n**(-3))/(n/(n*n**(-2)*n)))/((n**(2/3))**(-50)/(n**(1/4)/n)**(-1/4)) assuming n is positive. n**(2233/48) Simplify (w**(-9)/((w/w**(1/10))/w))**(-4)*w/(w/w**(2/19)*w)*w**(-4)*(w/(w/w**(2/7))*w)**(2/85) assuming w is positive. w**(69493/2261) Simplify (y**(-2/5)*y)**35/(y**(-2/3)/y)**(-1/6)*(y/(y**(-2)*y))**18/(y**0*y**(-2/3)) assuming y is positive. y**(1033/18) Simplify (((p/((p*p*p**(1/2))/p*p))/(p**(-3)/p))/(p**1/p)**16)/((p**1)**(1/49)/(p**(2/15)/(p**(-4)/p))) assuming p is positive. p**(11191/1470) Simplify (((p/(p*p/(p/(p*p**1))))/p)**21)**(2/85)*p*p**(-2/11)*p*p/(p**(-2)*p)*p*p**2/(p/p**2*p) assuming p is positive. p**(4989/935) Simplify (d*(d*d**2)/d*d**4)**(-8/5)/(d*d*d**(-4/9
{ "pile_set_name": "DM Mathematics" }
9311130? True Does 513 divide 8440389? True Is 1812305873 a multiple of 3230? False Is 437 a factor of 3287808830? True Is 2106642165 a multiple of 15? True Is 37 a factor of 1980885340? False Is 5 a factor of 429199685? True Is 365559168 a multiple of 2064? True Is 117728576 a multiple of 14? True Does 11485 divide 2741412075? True Is 103946832 a multiple of 1437? True Does 130 divide 32660514? False Does 137 divide 1071539061? True Is 18 a factor of 3193829? False Is 14794938 a multiple of 18? True Is 9264915 a multiple of 4? False Is 72940825 a multiple of 10? False Is 21 a factor of 59846608? False Does 14 divide 107427194? True Is 38 a factor of 5596336? True Does 526 divide 160187? False Does 29 divide 321586394? True Does 222 divide 25367335? False Does 2477 divide 17624947? False Is 49813500 a multiple of 750? True Is 11 a factor of 1765099? False Does 64 divide 878024002? False Is 26 a factor of 7741319? False Is 10 a factor of 1113544870? True Is 155423736 a multiple of 7? False Is 46114197 a multiple of 2636? False Is 39787352 a multiple of 22? True Is 520 a factor of 212903? False Is 415297191 a multiple of 39? False Does 11 divide 2186310909? False Is 35578608 a multiple of 444? True Does 16 divide 445253744? True Is 113531305 a multiple of 7678? False Is 160321800 a multiple of 40? True Does 3745 divide 191401338? False Is 169603135 a multiple of 221? True Is 40400800 a multiple of 1041? False Does 7 divide 134171730? True Is 3147 a factor of 245519644? False Is 16 a factor of 297808198? False Is 966584 a multiple of 6? False Is 15 a factor of 73183440? True Does 4 divide 10027023? False Does 28 divide 33284104? True Does 16 divide 13898188? False Is 6991 a factor of 1815225717? False Is 2341 a factor of 93930284? True Is 5 a factor of 13966880? True Is 142 a factor of 236262184? False Is 633 a factor of 471741984? True Does 377 divide 1508566997? False Does 21 divide 57205869? True Does 30 divide 9376080? True Is 289 a factor of 322103155? False Does 70 divide 18380810? True Is 1822 a factor of 1243505505? False Is 4209 a factor of 556758102? True Is 456 a factor of 6546336? True Is 924668131 a multiple of 9? False Is 91 a factor of 18597761? True Is 741 a factor of 54507650? False Is 12 a factor of 606775187? False Does 35 divide 23641417? False Is 727762086 a multiple of 487? True Does 11 divide 20043815? True Is 730968465 a multiple of 759? False Does 70 divide 113097748? False Does 6 divide 363304602? True Is 68 a factor of 82122444? True Is 181241166 a multiple of 11? False Is 39 a factor of 139138786? False Is 3373296 a multiple of 8? True Is 6 a factor of 23971355? False Is 9276 a factor of 884364564? True Does 3783 divide 2338588203? False Does 88 divide 58663074? False Is 143 a factor of 1140937798? True Is 1054 a factor of 41126476? False Does 2 divide 627369? False Does 148 divide 42481920? True Is 176593018 a multiple of 31? False Is 1433248740 a multiple of 33? True Is 5 a factor of 6156175? True Is 157060079 a multiple of 407? True Does 111 divide 645061626? True Is 80403897 a multiple of 2371? False Does 16 divide 27070735? False Does 107 divide 80176804? False Is 46 a factor of 4578349? False Is 2224562593 a multiple of 5893? False Is 37 a factor of 1134271073? False Is 84971091 a multiple of 193? False Is 90 a factor of 149851562? False Is 248 a factor of 66251464? True Does 224 divide 1056000512? True Is 14 a factor of 89070621? False Is 11735143 a multiple of 41? True Is 2 a factor of 8187392? True Is 8539 a factor of 227318935? False Is 14 a factor of 858518136? True Is 456 a factor of 1025089295? False Is 24443055 a multiple of 15? True Does 218 divide 430417892? True Is 29 a factor of 1356517253? True Does 687 divide 17887889? False Is 49 a factor of 1190703924? False Does 2 divide 13708397? False Is 32 a factor of 461598651? False Is 1814000075 a multiple of 2815? True Does 7 divide 12558768? False Is 1250777 even? False Is 5865 a factor of 2557532955? True Is 477 a factor of 913071015? True Does 279 divide 658582290? True Does 46 divide 23155986? True Is 72478875 a multiple of 1952? False Does 87 divide 6561692? False Does 113 divide 175386604? False Is 95157722 a multiple of 7? False Is 61 a factor of 49272506? True Is 19 a factor of 60582089? True Does 819 divide 146193472? False Does 11 divide 724434743? False Does 8370 divide 2142895770? True Is 276 a factor of 2733143561? False Is 1453 a factor of 69440323? True Is 33 a factor of 4547928? True Does 20 divide 1595471428? False Is 118633767 a multiple of 21? True Is 396964183 a multiple of 6391? True Does 60 divide 35164440? True Is 245056007 a multiple of 23? True Is 952812606 a multiple of 13? False Does 10 divide 53180310? True Is 284 a factor of 2326348512? True Is 55 a factor of 592973304? False Is 116 a factor of 47725062? False Is 516772911 a multiple of 13? False Is 186 a factor of 1087327026? False Does 791 divide 135406651? False Does 107 divide 50662831? False Is 19 a factor of 1887184576? True Is 254 a factor of 36975356? False Does 273 divide 235905579? True Is 102 a factor of 353514662? False Does 115 divide 41351585? True Is 296 a factor of 108642225? False Is 19 a factor of 43816242? True Is 241279552 a multiple of 16? True Does 10 divide 834834350? True Does 16 divide 124647936? True Is 253 a factor of 283367590? True Does 54 divide 227195960? False Is 948332458 a multiple of 50? False Is 30 a factor of 88259490? True Is 413564591 a multiple of 97? False Is 124 a factor of 123040479? False Is 9 a factor of 367380753? False Is 2016065290 a multiple of 10? True Is 39597759 a multiple of 449? True Does 23 divide 481421096? True Is 2773167528 a multiple of 13? False Is 543 a factor of 110841504? True Is 70682468 a multiple of 422? True Is 13727546 a multiple of 49? True Does 34 divide 12726608? True Is 2 a factor of 101403076? True Does 1905 divide 12355830? True Does 683 divide 100713166? False Does 10 divide 136736440? True Is 5 a factor of 31564495? True Is 261 a factor of 7232049? True Does 623 divide 10310512? False Is 3166626033 a multiple of 909? True Is 28 a factor of 167978300? True Is 536 a factor of 284917354? False Is 46 a factor of 235717912? False Is 41729013 a multiple of 429? False Is 330599507 a multiple of 17? False Is 19 a factor of 85143150? False Is 113 a factor of 371544? True Is 9 a factor of 2879554348? False Does 92 divide 21589180? True Is 192451438 a multiple of 941? True Is 10263360 a multiple of 120? True Is 76 a factor of 152776049? False Is 10 a factor of 7922950? True Is 18 a factor of 752599894? False Is 11745056 a multiple of 8? True Is 3 a factor of 807273? True Is 4295 a factor of 23936035? True Is 235222608 a multiple of 48? True Is 128 a factor of 758575872? True Is 151681167 a multiple of 3663? True Does 18 divide 1912481172? True Is 115 a factor of 229980330? False Is 42 a factor of 406556940? False Does 4 divide 1763017500? True Is 116 a factor of 237543905? False Is 43336168 a multiple of 985? False Is 241360 a multiple of 16? True Is 133259931 a multiple of 175? False Is 21329388 a multiple of 405? False Is 1258 a factor of 40344060? True Is 4243960 a multiple of 230? True Is 45 a factor of 65056886? False Is 3195 a factor of 17227440? True Is 2431 a factor of 21934913? True Is 49364307 a multiple of 31? True Is 127 a factor of 43741848? True Does 72 divide 28046928? False Is 674 a factor of 1403363708? True Is 241 a factor of 1115470187? True Is 28365792 a multiple of 208? True Does 1162 divide 16140180? True Is 29567122 a multiple of 109? True Does 5901 divide 1717745694? True Is 16 a factor of 371915364? False Does 10 divide 95641300? True Is 141 a factor of 52437477? True Is 69704538 a multiple of 26? False Is 481646090 a multiple of 9? False Is 399 a factor of 400086069? False Does 483 divide 120826160? False Is 42948057 a multiple of 77? False Is 5572279680 a multiple of 704? True Is 55453694 a multiple of 5? False Is 178094842 a multiple of 306? False Does 34 divide 13168370? True Is 2676512 a multiple of 181? False Is 1822 a factor of 4287818177? False Is 63280656 a multiple of 963? True Is 534067295 a multiple of 546? False Does 136 divide 9638425? False Is 10 a factor of 218983640?
{ "pile_set_name": "DM Mathematics" }
476 from -21704.23. -24180.23 Sum -554 and -97886. -98440 Sum 1.0531 and -13948. -13946.9469 Work out -453463862 + 5. -453463857 Work out -16 + -2309426. -2309442 What is 1252579 take away 2.1? 1252576.9 What is 1.0070457 - -49.1? 50.1070457 What is -3476944 - -107? -3476837 Total of -0.01420872 and -0.2. -0.21420872 What is -3 less than -107346079? -107346076 -24 + 87.32676 63.32676 Subtract 224503347 from 17. -224503330 What is -4 - 27.446943? -31.446943 What is the difference between 4 and 42184.684? 42180.684 What is the difference between 68.28063398 and -5? 73.28063398 What is the difference between 21.06 and -1279.2? 1300.26 What is 280 - -24624? 24904 Subtract 259604742 from -0.3. -259604742.3 -0.2145822 - 2 -2.2145822 What is 31730 + -0.574? 31729.426 Subtract 22424 from 1588. -20836 What is the distance between 4279974 and -0.9? 4279974.9 What is the distance between -0.896 and 4613? 4613.896 Add 1580344800 and -0.2. 1580344799.8 Put together -192 and 1540.7. 1348.7 -792669+1.849 -792667.151 What is 574444 + 2749? 577193 Work out 0.01 - -23.95469673. 23.96469673 What is -343 plus -21125605? -21125948 What is 30190 + 18906? 49096 Add -25.4 and 305314. 305288.6 -534.7 - 805025 -805559.7 Put together 76.135 and 0.1192. 76.2542 What is -1632016 - 5177? -1637193 What is the distance between -3106 and -79474? 76368 What is 265 take away 3.27537? 261.72463 What is the difference between -1854 and 2.6511? 1856.6511 What is -0.2 minus -0.034102? -0.165898 What is 8529744 less than -6563? -8536307 Sum -2534160137 and -37. -2534160174 What is the distance between -0.08 and 8566287? 8566287.08 Work out 13060 + -134. 12926 Add 1 and 1305304. 1305305 -2417.68096 - -0.2 -2417.48096 Work out -12947322 - 2. -12947324 Add 6.2 and 0.117164. 6.317164 What is -3726.166898 + 0.21? -3725.956898 Put together -0.16491492 and -1.5. -1.66491492 -53072 - 0.01625 -53072.01625 What is -1112239 - 0.01658? -1112239.01658 825691371 + -0.048 825691370.952 Put together -39833692 and -11.9. -39833703.9 What is the difference between 2.4748118 and -13? 15.4748118 What is 2265192 plus -53.73? 2265138.27 Add 5250 and 261784. 267034 Calculate 20609 + -2338. 18271 What is 0.0761 less than -193.5? -193.5761 Sum 0.02 and 6.4162. 6.4362 Work out 3.532 - 1401. -1397.468 -4 + -1962390217 -1962390221 What is the distance between 1 and -127087992? 127087993 What is the distance between -22 and 605734112? 605734134 Calculate -2 - 3296341. -3296343 What is -2.763 minus 444.928? -447.691 Work out 26.5 + 46144335. 46144361.5 Calculate 84.2245 - -238. 322.2245 What is 61069487 take away -0.1? 61069487.1 Add together 2995972 and 13. 2995985 What is 0.3 minus -28067848? 28067848.3 0.1218 - -12.551 12.6728 What is the distance between 817 and -362339.21? 363156.21 What is 0.5 - 9965036929? -9965036928.5 27 - -16461.7 16488.7 What is the difference between -0.3 and 20459212? 20459212.3 Total of 44450708705 and 0.5. 44450708705.5 -2500.003 + 3.748 -2496.255 34303687 - 0.2 34303686.8 Sum 50864010 and 0. 50864010 What is 2525 less than 7.027705? -2517.972295 What is 5837.769 - -2028? 7865.769 Total of -32 and -38359676. -38359708 Total of 502182 and -0.057. 502181.943 What is 6126795 + -189? 6126606 What is -465.7 + 17.516? -448.184 Work out 1620 - -48705. 50325 Work out -947.86 + 0.7. -947.16 Work out 19 - -21.608. 40.608 What is 115832 less than -1280? -117112 Work out -2.09 + 26443409. 26443406.91 Subtract -2795487 from 1735. 2797222 Sum -2726 and -3.013. -2729.013 27.3359 + -0.0501 27.2858 What is -0.032 - 21.031283? -21.063283 -114578.6+0.1 -114578.5 What is the difference between -7419 and 85534? 92953 Work out -16.1 + 73667.16. 73651.06 Add -0.649 and -1669676. -1669676.649 Calculate -1416 + -0.27234. -1416.27234 70532824+7 70532831 What is -16741 less than -0.492328? 16740.507672 Work out 8368232 + 0.52. 8368232.52 Put together 0.002 and 24.4968. 24.4988 Calculate -207 + 40.782968. -166.217032 Subtract 5 from 864418. 864413 What is 2.01453 take away 9.78? -7.76547 What is 0.35 plus 19918969? 19918969.35 Work out 0.17 + 177.7487. 177.9187 What is 4998.131 plus 3? 5001.131 0 + -16477550 -16477550 What is 0.1 plus 14.154034? 14.254034 Add 0.0232 and -0.40804. -0.38484 Calculate -0.5148472 - -8. 7.4851528 What is 1835.48 + -1.218? 1834.262 -10143 - 123527 -133670 What is 56105 + 0.21065? 56105.21065 Add 4 and 7057029. 7057033 Total of 201.64 and 90363. 90564.64 What is the distance between 0.3 and 404.3566? 404.0566 Total of -160 and -4.54094. -164.54094 What is the difference between -139999246 and 36? 139999282 -0.001+-0.051287684 -0.052287684 What is -1.49 less than 44649? 44650.49 Calculate -6.0993 - 88732.4. -88738.4993 -11.462+141588 141576.538 -38021241 + 5 -38021236 What is -0.5 less than -642537467? -642537466.5 -1434134 + -492 -1434626 Work out 13755018 + -172. 13754846 What is the distance between 9427 and 632? 8795 What is -64655 minus 774? -65429 278453.2552 - -0.4 278453.6552 Work out -4 - 2141.740589. -2145.740589 What is -0.4 minus -1784590751? 1784590750.6 What is -108 less than -4505585? -4505477 Work out 0.073396836 + 0.2. 0.273396836 What is 84.2 plus -26170662? -26170577.8 Work out 12756259.466 + -0.4. 12756259.066 What is the difference between -0.9 and -1331.8548? 1330.9548 Work out 14042708 - -3. 14042711 Total of -1 and -80126743. -80126744 26.249787 + 1 27.249787 0.2+156012795 156012795.2 What is -837484938.6 take away -2? -837484936.6 What is -3086439 + -1.33? -3086440.33 323087 - -417 323504 What is -281 take away -2.2144? -278.7856 What is 95.24 + 0.219531? 95.459531 What is -1.2805681 plus -5? -6.2805681 Calculate -1 - 17.510276529. -18.510276529 What is 13.39 less than 3508? 3494.61 0.9 - -48980.428 48981.328 Calculate -2.233 - 61.6. -63.833 What is -15940168363 take away 2? -15940168365 What is -40 minus 2042.3365? -2082.3365 3.47 - 43129 -43125.53 What is -36 + 3051929? 3051893 What is 284 less than -0.4735753? -284.4735753 Calculate 43043 + -47067. -4024 Sum 66.72544 and -1.6. 65.12544 Calculate -8.81053424 - 3.4. -12.21053424 Subtract 3796602.7 from 0.128. -3796602.572 Work out 7374 - 236147. -228773 Sum 22690 and 46. 22736 Add -9 and -5401.72595. -5410.72595 Calculate -594400.3 + 2.2. -594398.1 Work out 1 + 2012592. 2012593 Calculate 0.0388537411 + -5. -4.9611462589 -1627623976+0.3 -1627623975.7 Add 3997310 and 1.26. 3997311.26 Calculate 0.1 + 7062275719. 7062275719.1 What is 0 plus 214673.3759? 214673.3759 Total of 6043 and 108.77. 6151.77 What is -380915213 plus 45? -380915168 0.9 + 386267 386267.9 Add together -4369 and 132.1. -4236.9 Calculate -380231657.6 - 2. -380231659.6 Calculate -0.388 + -0.553. -0.941 What is -0.063 plus 1671584.65? 1671584.587 Work out 1 - 1970.448246. -1969.448246 Work out 112 - 1103.2. -991.2 Work out -318353 - -11893. -306460 What is -665155 - 43? -665198 Work out -938.3 - 4218305. -4219243.3 What is -100 less than -762.20798? -662.20798 Work out 0.145966325 - 99. -98.854033675 -25899616.3 - -24 -25899592.3 Sum -33940364 and 1. -33940363 What is -1980 less than -35704? -33724 Add -4073 and 6016.89. 1943.89 What is -3.9 - -139.5398046? 135.6398046 Work out 1051.87 - 137. 914.87 What is the distance between -5 and -241001837? 241001832 What is -0.066 plus -1143160? -1143160.066 Work out -4 + 13939505. 13939501 What is -475609060 - 21? -475609081 Add -4171 and -616.2. -4787.2 Sum 761312 and 2.8. 761314.8 What is -9482073.6 take away -0.02? -9482073.58 0.03 - 3351729 -3351728.97 What is the distance between 0.013111 and -101.39? 101.403111 -5 + -3269054.7 -3269059.7 Work out -5043 + 6926. 1883 -2.4 - -0.7282031 -1.6717969 What is 11818.95704 + -0.051? 11818.90604 What is -0.5 + -53177855? -53177855.5 What is -65 - 1248235? -1248300 Total of 26541 and -171502. -144961 Add together -114.51 and -3003. -3117.51 What is -0.6 - 174578? -174578.6 What is -24 take away -0.02929636? -23.97070364 Calculate 4 + -528589945. -528589941 Total of 16.263 and 5.2128. 21.4758 What is the distance between -14.23 and 14912? 14926.23 Sum -5.686 and -30.9. -36.586 -53890668 + 3 -53890665 Work out 22527.52 + 29416. 51943.52 Add 1430 and 26378. 27808 Work out -0.05 - -14.25507947. 14.20507947 What is 50073 + -15281? 34792 Total of -0.1876 and -2
{ "pile_set_name": "DM Mathematics" }
cement from memzeclz. What is prob of picking 2 z, 1 l, and 1 c? 1/70 Calculate prob of picking 1 n, 1 s, and 1 l when three letters picked without replacement from ljnojnnrsnrlonsl. 3/56 Four letters picked without replacement from lllllllllff. What is prob of picking 4 l? 21/55 Calculate prob of picking 3 w when three letters picked without replacement from wtwttwttttt. 1/165 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from zziiz. 3/5 What is prob of picking 3 m when three letters picked without replacement from {m: 4, l: 7, n: 4}? 4/455 Three letters picked without replacement from eeeebeebeeebeebeeee. Give prob of picking 2 e and 1 b. 140/323 What is prob of picking 2 p and 2 a when four letters picked without replacement from {p: 2, a: 10, h: 4}? 9/364 Four letters picked without replacement from {l: 1, a: 1, g: 3, h: 1, v: 2, b: 4}. Give prob of picking 1 a, 2 b, and 1 v. 4/165 Four letters picked without replacement from {w: 3, o: 3}. Give prob of picking 3 o and 1 w. 1/5 What is prob of picking 2 b and 1 m when three letters picked without replacement from {n: 1, m: 1, b: 1}? 0 Calculate prob of picking 1 s and 2 g when three letters picked without replacement from {v: 2, r: 1, i: 4, e: 3, s: 1, g: 7}. 7/272 Three letters picked without replacement from {a: 1, c: 2, d: 2, g: 4}. What is prob of picking 2 d and 1 c? 1/42 Three letters picked without replacement from {r: 2, n: 7, a: 4, j: 1, o: 4}. Give prob of picking 1 j, 1 r, and 1 o. 1/102 Calculate prob of picking 3 d when three letters picked without replacement from lldddlldld. 1/12 What is prob of picking 2 k and 2 x when four letters picked without replacement from {x: 4, i: 2, v: 1, k: 2}? 1/21 Four letters picked without replacement from elhhguhlgg. Give prob of picking 1 h, 1 g, and 2 l. 3/70 What is prob of picking 1 t, 1 q, and 2 h when four letters picked without replacement from tvhtpdhtddvq? 1/165 Calculate prob of picking 1 g and 1 y when two letters picked without replacement from gyiyzyz. 1/7 What is prob of picking 3 o when three letters picked without replacement from {m: 2, a: 2, o: 3, k: 2}? 1/84 Calculate prob of picking 3 l and 1 x when four letters picked without replacement from velevxzzcvex. 0 What is prob of picking 2 l when two letters picked without replacement from lllllflllllll? 11/13 Calculate prob of picking 1 h, 1 x, and 2 u when four letters picked without replacement from hhhhhhhhhhhxuh. 0 Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bubxh. 1/5 What is prob of picking 1 l and 1 u when two letters picked without replacement from llugggugguuuyul? 6/35 Calculate prob of picking 3 r when three letters picked without replacement from {r: 9, h: 2}. 28/55 What is prob of picking 2 p and 2 h when four letters picked without replacement from {x: 4, y: 3, h: 5, p: 1}? 0 Four letters picked without replacement from ocjojycoo. What is prob of picking 2 j, 1 c, and 1 y? 1/63 Three letters picked without replacement from otxpjapjt. Give prob of picking 2 j and 1 a. 1/84 Four letters picked without replacement from {a: 1, d: 1, q: 2, w: 8, p: 1, r: 1}. Give prob of picking 3 w and 1 r. 8/143 Two letters picked without replacement from {r: 1, y: 1, w: 1, d: 1, n: 1}. Give prob of picking 1 n and 1 y. 1/10 Two letters picked without replacement from {w: 6, o: 5, z: 1, m: 1, b: 1}. Give prob of picking 1 z and 1 m. 1/91 What is prob of picking 1 x and 1 l when two letters picked without replacement from txlx? 1/3 Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {a: 1, f: 2, s: 1, b: 2, x: 1, l: 1}. 1/7 Four letters picked without replacement from coloccolooocllccoc. Give prob of picking 3 o and 1 l. 7/153 Four letters picked without replacement from ftfbynfydtdy. What is prob of picking 4 n? 0 What is prob of picking 2 x when two letters picked without replacement from rexx? 1/6 What is prob of picking 1 b and 1 r when two letters picked without replacement from {r: 1, n: 3, b: 3}? 1/7 Three letters picked without replacement from cyvayvyyyyapaaaay. Give prob of picking 1 a and 2 v. 3/340 Two letters picked without replacement from {e: 5, b: 9}. Give prob of picking 1 e and 1 b. 45/91 Calculate prob of picking 1 z and 1 v when two letters picked without replacement from wzzwzzwwvzwv. 5/33 What is prob of picking 3 f and 1 r when four letters picked without replacement from {g: 1, i: 2, f: 1, r: 1, j: 1, l: 1}? 0 Calculate prob of picking 2 e when two letters picked without replacement from eererreeerreee. 36/91 Calculate prob of picking 1 z and 3 i when four letters picked without replacement from ziizizziizzz. 14/99 Two letters picked without replacement from {a: 2, d: 2, y: 1}. What is prob of picking 2 d? 1/10 Two letters picked without replacement from cdyywdldywdd. Give prob of picking 1 w and 1 l. 1/33 What is prob of picking 1 e and 1 k when two letters picked without replacement from {i: 1, m: 9, k: 4, e: 1}? 4/105 Three letters picked without replacement from nwqnnwwn. What is prob of picking 1 q and 2 n? 3/28 Four letters picked without replacement from {w: 4, h: 3, u: 1, e: 6}. What is prob of picking 1 h, 1 u, 1 w, and 1 e? 72/1001 Four letters picked without replacement from tpkffppptkpppp. What is prob of picking 1 k, 2 t, and 1 f? 4/1001 What is prob of picking 2 h and 1 j when three letters picked without replacement from hpjhjjplhjhjlhjhhpj? 49/323 Two letters picked without replacement from hhhiihh. What is prob of picking 2 h? 10/21 Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, k: 3}. 1/10 Four letters picked without replacement from {q: 8, z: 9, t: 2}. What is prob of picking 4 q? 35/1938 Two letters picked without replacement from {b: 5, s: 2, u: 4}. What is prob of picking 2 u? 6/55 Three letters picked without replacement from iioocolcxcocuu. What is prob of picking 1 x, 1 c, and 1 u? 2/91 Four letters picked without replacement from {v: 4, s: 2, h: 6}. Give prob of picking 4 v. 1/495 Three letters picked without replacement from {l: 3, r: 3, u: 2, b: 1, i: 10}. Give prob of picking 1 u and 2 l. 2/323 What is prob of picking 1 j, 1 l, and 1 h when three letters picked without replacement from jujjlrrdurhruju? 4/455 What is prob of picking 1 c and 3 v when four letters picked without replacement from {c: 13, v: 5}? 13/306 Calculate prob of picking 2 h and 1 w when three letters picked without replacement from mhhhhhhmmmhmhmhmhwh. 55/969 Two letters picked without replacement from ragjttjs. Give prob of picking 1 s and 1 j. 1/14 Calculate prob of picking 1 t and 1 i when two letters picked without replacement from iitti. 3/5 What is prob of picking 1 k and 2 u when three letters picked without replacement from kuku? 1/2 Two letters picked without replacement from {a: 9, h: 5}. Give prob of picking 1 a and 1 h. 45/91 Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {l: 1, b: 1, d: 1}. 1/3 Two letters picked without replacement from nzwgwcww. What is prob of picking 1 g and 1 n? 1/28 What is prob of picking 3 m and 1 s when four letters picked without replacement from {m: 5, s: 10, e: 4}? 25/969 Two letters picked without replacement from ddqodqdjdxdajda. What is prob of picking 2 q? 1/105 Four letters picked without replacement from qjqjjqq. What is prob of picking 2 q and 2 j? 18/35 Two letters picked without replacement from {r: 4, i: 1, b: 1, u: 3, m: 7}. Give prob of picking 1 i and 1 r. 1/30 What is prob of picking 2 m when two letters picked without replacement from {m: 4, h: 2, p: 2}? 3/14 Four letters picked without replacement from rdvrrvrrd. Give prob of picking 1 d and 3 r. 10/63 Calculate prob of picking 1 c, 1 o, and 1 l when three letters picked without replacement from {y: 3, l: 2, o: 3, r: 1, d: 3, c: 4}. 3/70 Two letters picked without replacement from {k: 1, u: 3, y: 6, h: 4}. Give prob of picking 1 u and 1 k. 3/91 What is prob of picking 1 e and 1 w when two letters picked without replacement from eewe? 1/2 Three letters picked without replacement from kkklkkklqlqk. What is prob of picking 1 q and 2 l? 3/110 What is prob of picking
{ "pile_set_name": "DM Mathematics" }
t r, -3, 0 in ascending order. r, -3, 0 Let l = 0.24 - -9.26. Let u = l + -9. Sort u, -0.2, 0.01. -0.2, 0.01, u Let i(m) = -m**3 + 2*m**2 + 3*m - 2. Let k be i(3). Suppose 44 = -0*a - 4*a. Let z = a - -7. Put -5, z, k in increasing order. -5, z, k Suppose -2*n + 8*x - 3*x - 25 = 0, -5*n = -2*x + 10. Sort 3/5, n, 1 in ascending order. n, 3/5, 1 Let h be (-8)/12 - 2/6. Put 2, h, 5 in decreasing order. 5, 2, h Suppose 3*r - 2*r - 4 = 0. Sort 5, r, 1. 1, r, 5 Let c = -55 + 53. Let v = -0.8 + 5.8. Sort 0, v, c in increasing order. c, 0, v Let v = -10 - -17. Suppose d - v + 2 = 0. Let h = -2 + 0. Put 2, d, h in increasing order. h, 2, d Let k be (3 + 0)/((-3)/10). Suppose 5*n = 3 - 33. Let g = k - n. Put g, 4, -5 in decreasing order. 4, g, -5 Let o(l) = l**2 - 2*l + 11. Let r be o(4). Put -3, 5, r in increasing order. -3, 5, r Let w = 6 + -4. Put w, -5, -4 in descending order. w, -4, -5 Let q = 59 + -58.53. Let g = 0.03 + q. Sort 0, -1, g in ascending order. -1, 0, g Suppose 3*i = -3*d + 48, -i - 39 = -4*d + 30. Suppose -d = -5*u + 8. Suppose 0*h + 1 = h. Put -2, h, u in decreasing order. u, h, -2 Suppose h - a + 1 - 2 = 0, -8 = -2*h + 5*a. Let s be (-4)/(-2) + h + -2. Sort s, 2, 1/4 in descending order. 2, 1/4, s Suppose h = -r + 6*h - 9, 5*h - 17 = 3*r. Sort r, -0.2, 6/5 in ascending order. r, -0.2, 6/5 Let d = 0.001 - 1.001. Put -2/7, d, 5 in ascending order. d, -2/7, 5 Suppose 0*n - 3*v + 35 = 4*n, 2*n - 5*v + 15 = 0. Let t = -2 + 2. Suppose r = -t + 4. Put r, n, -3 in descending order. n, r, -3 Let c = 25 + -23.8. Let h = -1.4 + c. Sort -2, h, -1/4 in decreasing order. h, -1/4, -2 Suppose d + 19 = 4*y - 23, -5*d + 32 = 2*y. Let g = 9 + -5. Suppose 3*m - y + 6 = -t, g*m - 4 = -4*t. Put 0, 4, t in descending order. 4, 0, t Let x = 1.5 + -2.8. Let f = -1 - x. Let h be (-24)/(-21)*(-1)/(-2). Put h, 2/5, f in descending order. h, 2/5, f Let y be (-1)/(-12) - (-1)/4. Sort y, 4/7, 0.4. y, 0.4, 4/7 Let s(l) = l**2 - 3. Let q be s(-3). Let u be ((-9)/6)/(3/q). Let k be 6/2*10/(-15). Sort k, 5, u in ascending order. u, k, 5 Let w(a) = a. Suppose -r = -4 + 2. Let d be w(r). Let j be (-1)/1 - (-1 + 1). Put 0.1, d, j in ascending order. j, 0.1, d Let n = 5 - 7. Sort n, 3, -2/7 in descending order. 3, -2/7, n Let m = -10/13 + 27/52. Let w = 28.3 - 28. Sort m, w, 2/5 in decreasing order. 2/5, w, m Let q be (-1)/((-39)/(-6) + 0). Let h = 2.8 - -0.2. Put h, 0.2, q in increasing order. q, 0.2, h Let a = 8.8 + 0.2. Let r = a + -10. Sort -5, 0.3, r in ascending order. -5, r, 0.3 Let o = 68 - 610/9. Sort o, 5, -5. -5, o, 5 Let k = -1.029 - -0.029. Put -11, -0.3, k in descending order. -0.3, k, -11 Let l be (-1)/1*(-20)/12. Let m(f) = -f**3 + 3*f**2 - f + 2. Let x be m(2). Put 0.1, x, l in descending order. x, l, 0.1 Suppose -4*q + 0*q - 14 = -2*d, -2*d + 2*q = -12. Suppose 0*a - 2*x - 19 = 5*a, -2*a + 5*x = -4. Put d, -5, a in increasing order. -5, a, d Let l = 3/53 + 144/265. Put 4, l, 0.1 in increasing order. 0.1, l, 4 Let w = 124 + -117.06. Let o = -7 + w. Sort o, 3, 0.2 in increasing order. o, 0.2, 3 Let w be -1*2*2/(-4). Suppose -3*i - w = 11. Let l = 8 + i. Sort -5, l, -4 in decreasing order. l, -4, -5 Suppose 16 = -4*j - 2*c, -3*j + 0*j + 2*c - 5 = 0. Put j, 4, -1 in increasing order. j, -1, 4 Let k be (6/(-2))/(4/8). Let z be (-4)/k + 0/(-6). Sort 0.3, z, -0.5. -0.5, 0.3, z Let j(w) = -1. Let k(i) = i + 1. Let z(b) = -j(b) - k(b). Let l be z(-5). Let g = -4 - -7. Sort l, 2, g. 2, g, l Let r = -0.24 - 0.76. Let p = 0.1 + 0.1. Sort r, 0.1, p in decreasing order. p, 0.1, r Let p be 86/(-120) - 8/(-12). Let v = -37/60 + p. Put 3, v, 2/25 in ascending order. v, 2/25, 3 Let s = 5 - 1. Sort s, -1, 0 in descending order. s, 0, -1 Let w(u) = -u - 10. Let j be w(-7). Let n = 6 - 6.3. Sort n, j, 4 in descending order. 4, n, j Suppose -13*y = -10*y - 12. Suppose -9 = -5*h + d - 0, 5*d + 5 = 5*h. Suppose 3*k = k + h. Put k, y, -4 in increasing order. -4, k, y Let t = 0 + 4. Suppose 14 = 3*l - 4*y, 2*l - t*l + 6 = -y. Let n = 6 - l. Sort -1, 0, n in decreasing order. n, 0, -1 Suppose -r = 3*t - 4, -5*t = 5*r - t + 2. Put 5, -3, r in ascending order. -3, r, 5 Let g be (-4)/14 - (-93)/7. Let o(q) = -q**2 - 14*q + 17. Let w be o(-15). Suppose g + w = -5*l. Sort -1, l, -2 in ascending order. l, -2, -1 Let o = -445 - -450. Let z be (-1)/2 - (-2)/(-4). Let b = 3 + z. Put 1, b, o in increasing order. 1, b, o Let v = -2 + -5. Suppose -2*q + 5 + 27 = -2*z, q - 3*z - 24 = 0. Let t = q + v. Sort t, 3, -3. -3, 3, t Let p be (-61)/(-4) + 4/(-16). Suppose -3*o + 3*h = p, 2*o + 0*h = 5*h - 22. Put -2, 4, o in descending order. 4, o, -2 Let s(a) be the second derivative of a**4/12 - a**3/6 - a**2/2 - 2*a. Let k be s(3). Suppose 0 = -11*h + 13*h + 4. Sort 4, k, h in descending order. k, 4, h Let f = 1 + -1. Suppose f*n = -2*n - 8. Sort -5, n, -1 in decreasing order. -1, n, -5 Suppose 5*w = -4*u - 7, -2*u = -0*u - 2*w - 10. Let q = 2 + -2. Let c = -3/2 + 5/6. Sort q, u, c in decreasing order. u, q, c Suppose 2*q - 4*q + 14 = 4*l, 3*l - 28 = -4*q. Let n = q + -8. Let j(g) = g. Let w be j(3). Put 0, n, w in decreasing order. w, 0, n Let g = 42 - 44. Sort 14, g, -4 in decreasing order. 14, g, -4 Let p = -34/3 + 250/21. Let d = 38 - 40.1. Let j = -0.1 - d. Put p, -2/11, j in increasing order. -2/11, p, j Let f be (3/5)/(6/4). Let p be ((-10)/45)/((-5)/(-42)) + 2. Sort p, f, -5 in ascending order. -5, p, f Let j = 7 - 7.19. Let a = 0.01 - j. Sort -5, a, 0 in decreasing order. a, 0, -5 Suppose -3*m - 18 = 3*m. Sort -5, -4, m in ascending order. -5, -4, m Let h(f) = 2*f**2 - 2*f + 1. Suppose 3*w + y = -y + 4, 0 = 3*w + 4*y - 2. Let g be h(w). Sort 0, g, 4 in ascending order. 0, 4, g Let u = 17 + -18. Put 0, 3, -3, u in descending order. 3, 0, u, -3 Suppose 15*m - 20*m + 10 = 0. Put -1, -3, 2/9, m in increasing order. -3, -1, 2/9, m Let p = 1 - -1. Suppose 7 = p*m + 1. Let k be 0 + (-4)/6*m. Put 1, k, -1 in decreasing order. 1, -1, k Let s be 0/(0 + 2) + -1. Let c(w) = -w**2 - w. Let m be c(s). Suppose 2*j = 2*b + 3*j, 0 = b - 5*j - 11. Sort -3, m, b in increasing order. -3, m, b Suppose -34 = 3*h + 2*f, 1 = -2*f - 3. Let y = 7 + h. Put 2, y, 5 in descending order. 5, 2, y Suppose w + 16 = 2*w. Suppose w = 3*z + z. Sort -3, 3, z in decreasing order. z, 3, -3 Let f be 6/(-27) - 68/18. Let t(d) = 4*d + 23. Let r be t(-5). Sort r, -1, f in descending order. r, -1, f Let o = -7 - -9. Sort -5, 4, 0, o. -5, 0, o, 4 Suppose 3*n - 8*n + 5 = 0. Let j = 34 + -33.5. Put -2, n, j in decreasing order. n, j, -2 Let n = 0 + 2. Let c = n - -1. Let z = -4.4 - -4. Sort c, 2, z in increasing order. z, 2, c Suppose -m = 2*z + 7, -5*z + 2*m - 11 - 11 = 0. Sort z, -1, -8. -8, z, -1 Suppose -y + 2 + 2 = 0. Sort -6, 5, y in ascending order. -6, y, 5 Let r be -1 - (1 + 2) - -2. Sort 4, r, -3 in ascending order. -3, r, 4 Suppose 0 = 6*y - 8*y - 84. Let r be 3/(-15) - y/10. Put r, -6, -2 in descending order. r, -2, -6 Let z = 6 - 6.1. Sort 0.3, 1/4, z in increasing order. z, 1/4, 0.3 Let j = -1 + 1.4. Let x = -0.57 - 0.43. Sort x, 1, j in decreasing order. 1, j, x Let r be 2/(0 - 3 - -4). Put 0, 31, r in ascending order. 0, r, 31 Let r be (1/4)/((-60)/(-32)). Sort -0.3, -1/4, r. -0.3, -1/4, r Let v(z) = -2*z - 1. Let q be v(4). Let d = -5 - q. Suppose d*u - 1 - 7 = 0, -5*r - 5*u = 5. Sort 3, r, 5. r, 3, 5 Suppose -4*s = -6*s + 3*n + 14, 5*s = -2*n + 16. Suppose -2*b + 0*q + 5*q - 1 = 0, -4*b = -4*q - 28. Suppose -5*j + b = -3. Put s, -5, j in descending order. s, j, -5 Let i = 0.1 - 0.3. Suppose -v - 1 = -2*b + 2*v, 4*b = -2*v - 22. Let u = 6 + b. Sort i, u, -0.3 in ascending order. -0.3, i, u Let o be (15/(-10) - -1)*-10. Let w be 3/12 + (-34)/8. Sort w, 1, o in decreasing order. o, 1, w Let v = 104 + -115. Sort -0.1, v, 4, 2/7 in decreasing order. 4, 2/7, -0.1, v Suppose -3*b - b + 7 = -a, -5*a - 3*b = -34. Suppose 2*q + 2*q - 3*f = 19, -4*q + 20 = -4*f. Suppose 7*x + 6 = q*x. Sort a, -5, x in increasing order. -5, x, a Let x = 21 + -21. Let m be (-4)/3 + 2/6. Let t = 0.11 - 0.01. Sort x, t, m in decreasing order. t, x, m Let m = 19 + -12. Let u = -7.1 + m. Put -4, -0.4, u in descending order. u, -0.4, -4 Let m = -119/148 + 2/37. Sort m, 0.2, 0.1 in descending order. 0.2, 0.1, m Let l(m) = -m**2 + 4*m + 7. Let s be
{ "pile_set_name": "DM Mathematics" }
What is the second smallest value in 0, -8386, 0.3? 0 Which is the second smallest value? (a) 3 (b) -64 (c) -1/6 c What is the biggest value in 0.5, -4, -4.8? 0.5 Which is the third biggest value? (a) 0.3 (b) -0.05 (c) 2 b What is the third smallest value in 1/126, -3, 0.02? 0.02 What is the smallest value in -40, -0.2, 3/5, -0.3? -40 What is the fourth biggest value in -1, -1/2, 0, 1, 1.7? -1/2 Which is the second biggest value? (a) -4 (b) 5 (c) 3 (d) 0.5 (e) -0.08 c What is the third smallest value in -4, 15, -0.5, 3? 3 Which is the second biggest value? (a) -9 (b) 0.1 (c) 2/7 (d) 0 (e) -0.07 b Which is the smallest value? (a) 0 (b) 1/4 (c) -0.5 (d) 18.9 c What is the biggest value in -1.8, 2/11, 1/4? 1/4 Which is the second biggest value? (a) -2/33 (b) -2 (c) -0.4 (d) -3/4 (e) 1/2 a Which is the second smallest value? (a) 2 (b) -0.3 (c) 1.4 c What is the third biggest value in 0, 257, 2/5? 0 Which is the biggest value? (a) -0.3 (b) -3 (c) -3.21 a Which is the second biggest value? (a) 0.5 (b) 0.2 (c) 59 a What is the fourth smallest value in 1/231, 1/3, -1/4, -0.3? 1/3 Which is the smallest value? (a) 0.2 (b) 37 (c) 2 (d) -4/5 (e) 5/2 d What is the second biggest value in -48, 0.1, 3, -5, -4? 0.1 Which is the fifth smallest value? (a) -5 (b) -1 (c) -2 (d) 0.27 (e) -7 d Which is the fourth smallest value? (a) -3 (b) 5 (c) 187 (d) 0.5 c What is the fourth biggest value in -64, 0.2, -1/5, -4/11? -64 What is the smallest value in 36, -5, 4, -2/17? -5 Which is the third biggest value? (a) 0.1 (b) -18 (c) 1 b Which is the third biggest value? (a) 2 (b) -0.1 (c) -2/3 (d) 61/6 b Which is the second smallest value? (a) -0.4 (b) -3/41 (c) -0.09 (d) 1 (e) 0.2 c Which is the second biggest value? (a) 4 (b) 3/2 (c) 1/2 (d) -2 (e) -4 b What is the smallest value in -1, 2, 10/9? -1 What is the second smallest value in 0, -1.4, 15? 0 Which is the third smallest value? (a) -0.5 (b) -8 (c) -2/3 (d) 1/4 (e) -51 c Which is the fourth smallest value? (a) -0.1 (b) -5 (c) -2/7 (d) -37 a Which is the smallest value? (a) -3 (b) 0.04 (c) -7/5 a Which is the third smallest value? (a) -470/7 (b) 1/2 (c) 3/5 c Which is the third biggest value? (a) -0.2 (b) 4 (c) 249 a What is the second smallest value in 0.5, 21, -2/3? 0.5 Which is the smallest value? (a) -124 (b) -1/6 (c) -4 (d) 1/11 (e) -2 a Which is the smallest value? (a) 5 (b) -29 (c) -4 b What is the smallest value in -1/5, 107/4, -0.4? -0.4 What is the fourth smallest value in -5, 7, 1/7, -1/5? 7 What is the third smallest value in 18, 3.4, -0.1, -1? 3.4 Which is the third smallest value? (a) -1.19 (b) -3/7 (c) -1/2 (d) -0.1 (e) -5 c What is the second biggest value in -2/19, -47, -2? -2 Which is the second biggest value? (a) -3/8 (b) -2/7 (c) 2 (d) 0 d What is the smallest value in -2/7, 58, 1? -2/7 What is the third smallest value in -0.3, -0.03, 5, 129/7, 0.5? 0.5 Which is the second biggest value? (a) 8/3 (b) 0.1 (c) 90 a What is the third smallest value in 1/4, 0.2, 14, 6, -2/13? 1/4 What is the biggest value in -0.4, -2/7, -4, 13? 13 Which is the biggest value? (a) 0.8 (b) -3 (c) 1 (d) -1 (e) -0.5 c What is the third smallest value in -1/4, -0.451, 0.1? 0.1 What is the second biggest value in 0, -18/11, -2? -18/11 Which is the smallest value? (a) -4/7 (b) 7 (c) 3/97 a What is the biggest value in 29, 0.5, 2/3? 29 Which is the third smallest value? (a) 0.5 (b) -0.1 (c) 5 (d) -40 (e) 1 a Which is the fifth biggest value? (a) 1 (b) -0.02 (c) 161 (d) 0.5 (e) -3 e What is the second biggest value in 4, 0.3, 4/27, 1? 1 What is the biggest value in -3, 8.3, 5, -5? 8.3 Which is the second biggest value? (a) -12 (b) 1 (c) 0.1 c Which is the third smallest value? (a) 0 (b) 0.4 (c) 4 (d) 3/7 d Which is the smallest value? (a) -13 (b) -23 (c) 2 (d) -3 (e) -0.1 b Which is the fifth biggest value? (a) -5.2 (b) -3 (c) 0.13 (d) 2 (e) 3/7 a What is the smallest value in -1, 591, 2/9? -1 What is the second smallest value in 1/8, 3.6, 1/26? 1/8 What is the smallest value in 17, -7/2, 1, -1? -7/2 What is the third smallest value in 3, -1, 0.06, 103? 3 What is the smallest value in 3, -0.0098, 5? -0.0098 Which is the fifth smallest value? (a) -0.2 (b) -7 (c) 0.3 (d) -6/11 (e) -4 c Which is the second smallest value? (a) 2/9 (b) -3 (c) 7 a Which is the smallest value? (a) 1/3 (b) 0.5 (c) -245/6 c Which is the second biggest value? (a) 2/5 (b) 62 (c) -4 (d) 1 d Which is the smallest value? (a) -2/9 (b) -0.0054 (c) 2/5 a What is the third smallest value in 9, -2/11, 2, -3? 2 What is the third biggest value in 0.3, 2/7, -0.4, -44? -0.4 Which is the second biggest value? (a) -0.56 (b) -3/2 (c) -13 b Which is the third biggest value? (a) 1 (b) 0.002 (c) 2/7 (d) 4 c What is the smallest value in 1/5, -1, 3, 5? -1 What is the third biggest value in 6/11, -35, -19? -35 What is the fifth biggest value in -0.5, -0.1, 0.2, 5, 1/9? -0.5 Which is the third smallest value? (a) -233 (b) 1/11 (c) -34 b Which is the second smallest value? (a) -62/5 (b) -1/4 (c) -3 (d) 0.2 c What is the second smallest value in 1/6, 35, -5, -2, 1? -2 Which is the second smallest value? (a) 2/9 (b) -1/43 (c) -6 b Which is the second biggest value? (a) -1/5 (b) 4 (c) 3/8 (d) 1/3 c Which is the third biggest value? (a) -0.1 (b) 3 (c) 4/9 (d) 0.13 d What is the fourth biggest value in 1/9, 5/6, 1, -6? -6 What is the smallest value in 3, -148, 2/5? -148 Which is the third biggest value? (a) -4 (b) 5 (c) -0.2 a What is the smallest value in 1/23, 0.5, -1/9, -2/5? -2/5 Which is the third biggest value? (a) -2 (b) -0.13 (c) 3/5 a Which is the second biggest value? (a) -5 (b) -20 (c) -2 (d) 1/29 c What is the fourth smallest value in -3/4, 5, 1, -15/8? 5 What is the fourth smallest value in -0.07, -1, 4, -3? 4 Which is the third smallest value? (a) -29 (b) -2 (c) 2 c Which is the second smallest value? (a) -3.8 (b) 5/3 (c) 1 (d) -3/2 d Which is the third smallest value? (a) -1/2 (b) 19 (c) -45 b Which is the second smallest value? (a) 0.1 (b) -2/7 (c) 2 (d) -2/11 d Which is the second smallest value? (a) -2/13 (b) 0.11 (c) -18/7 (d) -3 (e) -2/7 c What is the third biggest value in -1/11, 0, 6? -1/11 Which is the third smallest value? (a) -64 (b) -2/7 (c) -0.3 (d) 4 b Which is the smallest value? (a) 0.001 (b) -4/3 (c) -10 c Which is the third biggest value? (a) 3/4 (b) 196.7 (c) 1/5 (d) 2/3 d Which is the fifth smallest value? (a) 1 (b) -5 (c) -7 (d) 20 (e) -0.2 d Which is the biggest value? (a) 5 (b) -0.18 (c) 2/5 a Which is the second biggest value? (a) 1/6 (b) -29 (c) 3 (d) -10 (e) 4 c Which is the second biggest value? (a) 2 (b) 462 (c) 0.2 (d) -5 a What is the second biggest value in -3, 4, 0.9, -5, 5? 4 What is the smallest value in 2/41, 30, -2/13? -2/13 What is the fourth smallest value in 3, 4, 2/7, 7/4? 4 What is the third smallest value in -16, 0, -0.01, -2? -0.01 What is the third biggest value in 0.02, 1/14, -0.2? -0.2 Which is the fourth biggest value? (a) 4 (b) 1 (c) 5 (d) 6 b Which is the third smallest value? (a) -11/2 (b) 3 (c) 2/3 b What is the smallest value in -1, 45, -3/7, 3, 33? -1 Which is the biggest value? (a) 0.5 (b) -1/3 (c) 0.81 (d) -0.5 c What is the smallest value in 3, -5, -1/47? -5 What is the biggest value in -4/1191, 0.3, 4, -1/5? 4 Which is the biggest value? (a) -3 (b) -4 (c) 2/15 c Which is the third biggest value? (a) 3/5 (b) 5 (c) 174 a Which is the third biggest value? (a) 8 (b) 2/7 (c) 0 (d) 0.02 d Which is the fourth smallest value? (a) 0.1 (b) 0.5 (c) -8/9 (d) 20/7 d What is the biggest value in -4, 2/35, -6? 2/35 Which is the second biggest value? (a) 5 (b) 7/4 (c) 1/3 b Which is the second smallest value? (a) 18/5 (b) 3/4 (c) -114 b What is the second smallest value in 3, -1, 0.71? 0.71 What is the smallest value in -8, 0.4, 0.2? -8 What is the smallest value in 0, -1, 0.5, -2/3, 68? -1 Which is the second smallest value? (a) 5 (b) -0.206 (c) -1/3 b Which is the smallest value? (a) -0.5 (b) -0.1 (c) -0.12 a What is the second biggest value in 1/3, -1
{ "pile_set_name": "DM Mathematics" }
Let z = v + -65.5. What is the second smallest value in z, 2, -2, a? a Let i = 32609.3 - 32609. What is the second biggest value in i, 164, 1, 3? 3 Suppose 12*f - 15*f = 5*w + 2, 0 = -4*f - 2*w + 16. What is the second biggest value in f, 2, -595? 2 Let y = 1.08 + -1.48. Let b = -16/5 + 122/35. What is the fourth biggest value in b, y, -10, -1? -10 Let u be ((-55638)/3696 - -15) + 2/(32/(-6)). Which is the second biggest value? (a) 1/2 (b) 1/4 (c) -18 (d) 2/19 (e) u b Suppose -64*b + 3 = -61*b. Let a = -0.0285 - -3.0285. What is the smallest value in a, -4, -11/4, b? -4 Let o = 1.09 + 0.11. Let x = -0.8 + o. What is the third smallest value in -5, x, 14? 14 Let a(w) = w**3 - 6*w**2 + w + 1. Let c be a(7). Suppose -13*f = c - 31. Let u = 1631/9 + -181. What is the second smallest value in 0.6, f, u? u Let q = 57.8 - 57.8488. Let j = q + 0.0518. What is the third smallest value in -3, 1, j? 1 Let j be (-5*(-24)/28)/(-2). What is the second smallest value in j, -2.9, -5? -2.9 Let t = 9247 + -9302. What is the second biggest value in -1/3, 6/13, t? -1/3 Let r = -10 - -47/5. Let p be 881 - 871 - 72/7. What is the third smallest value in -1/3, p, r? p Let i be (-18)/28 + -13 + 1288/98. Let h = -50 - -55. What is the second smallest value in -23, h, i, -3/5? -3/5 Let f be 6/63 - 912/(-1008). What is the fourth biggest value in 6, -2, f, 0.2? -2 Suppose -9*q + 21*q = 60. Let s be q/2 - -1*(-38)/12. Let o = -8.5 + 7. Which is the second smallest value? (a) o (b) s (c) 4 b Suppose 3*k = -5*g - 10, -4*k + 0*k = 4*g + 8. Let f = 34.7 + -34.439. Let d = 19.739 + f. Which is the third biggest value? (a) 2 (b) k (c) d b Let n = -21122/9 + 2347. Let s be 2 + (2 - 14/3). Let y = -36/7 - -65/14. Which is the second smallest value? (a) -2/7 (b) s (c) n (d) y d Let i = -10101/2 - -20209/4. Which is the third smallest value? (a) i (b) -4.4 (c) 1/7 a Let y = -2485.5 - -2486. Which is the biggest value? (a) -0.3 (b) y (c) 1/273 b Let z = -63.72 - -63.42. Let g = 3.1 - 3. Let p = g + 0.1. What is the smallest value in p, 3, z? z Let q = 2/109 - -97/654. Let p = -14736 + 14731. Which is the smallest value? (a) -0.4 (b) q (c) -32 (d) p c Let q = 0.572 + -0.812. Which is the second smallest value? (a) 1/22 (b) q (c) 0 c Let w = 1/3 + -2/3. Let s = -1345679/20 + 67284. Which is the third biggest value? (a) w (b) s (c) 0.3 (d) -0.1 d Let w = 22072 + -110354/5. Which is the third biggest value? (a) 2 (b) w (c) 9 (d) -1/10 (e) 0 b Let k(h) = 1 - 11*h + h**2 - 1 + h. Let o be k(7). Let j be o/(-18)*(-3)/(-21). Which is the smallest value? (a) j (b) -3 (c) -1/10 b Let m = 0.2 - -0.8. Let q = 23157.92 - 23158. Let s = 5 + -9. What is the second biggest value in m, s, 2/7, q? 2/7 Let x = 11.37 - 16.37. Let w(m) = m - 1. Let h be w(2). Let s be (0 + -1)*(-2)/h. Which is the fourth smallest value? (a) x (b) 5 (c) s (d) 0.1 b Suppose -13 - 2 = -3*z. Let u = 13 - z. Let q be 4*3/(-12)*1*5. Which is the second smallest value? (a) u (b) q (c) -4 (d) 2/3 c Let p = -452 + 486.4. Let h = -34.8 + p. Suppose -l - 3*l = 8. Which is the second biggest value? (a) -1 (b) 0.05 (c) h (d) l c Let k = -14611 - -14609. Let i be (-3)/(-6)*12/(-15). Which is the second smallest value? (a) k (b) -0.2 (c) i (d) -9 a Suppose 2*h + 4*t = -2, -7*h = 32*t - 29*t + 29. Which is the third smallest value? (a) -104 (b) h (c) 0.5 (d) 2/3 (e) -0.2 e Let k(j) = -34*j + 97. Let t be k(3). Let d = -505 + 509. What is the third biggest value in 3/11, t, 2/3, d? 3/11 Let p = -1/18402 + 36811/128814. Which is the third biggest value? (a) -76 (b) -22 (c) p a Let w = 0.158 - 0.107. Let z = w - -17.949. Let q = z - 12. Which is the third biggest value? (a) q (b) 0 (c) -1 c Suppose -4 = -5*w + d + 9, 4*w - 3*d = 17. Let o be -1*(-2 + 0)/(w/(-4)). What is the biggest value in -0.2, -0.9, o? -0.2 Let p(b) = 12*b - 2*b**2 + 22 - 3 - 35. Let d be p(4). What is the second biggest value in -0.07, d, -1.4? -0.07 Let w = -2825.6 - -2826. Which is the second biggest value? (a) w (b) 1/2 (c) -1.7 (d) 5 b Let m = 45 - 79. Let t = -39 - m. Let g = 0.078 + 0.222. Which is the third smallest value? (a) -2 (b) g (c) -2/3 (d) t c Let s = 0.246 - -84.754. Let j = 84.99 - s. What is the third smallest value in -3, j, -0.1, 0.7? j Let z be -2*(-2)/((-12)/(-609)). Suppose -3*w - z = y, w - y = y - 70. Let q = w + 80. Which is the second smallest value? (a) q (b) -3 (c) -5 (d) 0 b Let b = -116.934 - 0.066. Let r(a) = 4*a + 64. Let t be r(-17). What is the third biggest value in t, -0.1, b? b Let y = 2466 + -2470. What is the third biggest value in 3/10, -2, 0.03, -3, y? -2 Let t = 272.6 - 272.8643. Let r = t + 0.0643. Which is the smallest value? (a) -3/4 (b) -0.05 (c) r a Let g = -68.2 - -68.1409. Let n = -0.1591 - g. What is the smallest value in n, -1, -1/6, 37? -1 Let j = -3.9 + -1.1. Let x = -17250 + 17255. Which is the third smallest value? (a) 0.1 (b) j (c) x c Let p(i) = i**3 - 9*i**2 - 2*i + 20. Let q be p(9). Let k be (-38)/(-21) + 4/(-28) - 1. Which is the smallest value? (a) 4 (b) k (c) q b Let z = 42 + -44. Suppose f + 12 = 5*f. Suppose -5*v - 13 = g, -16*g + 11*g - 2*v + 4 = 0. What is the third smallest value in g, z, f? f Let f = 470 - 441.1. Let v = -30.9 + f. What is the third biggest value in 0.2, 5/2, -2/3, v? -2/3 Let j be (18/(-27))/(9/(-36)) + -2. Which is the fourth biggest value? (a) -2/11 (b) -12 (c) -76 (d) j (e) -2/7 b Let f = 2.12 + 2.88. Which is the third smallest value? (a) -0.3 (b) -10 (c) 1/16 (d) f c Let c = 895 + -898. What is the fourth biggest value in -5, c, 1/13, -1? -5 Let y = -0.24 - 0.28. Let h = -0.4514 + -0.0486. Let d = y - h. What is the third biggest value in 1, d, -0.5? -0.5 Let z = -198.2 + 198.5. What is the smallest value in 3/5, z, -0.196? -0.196 Let z be (-2)/(-3) + ((-8)/10)/1. Let x be 2*(2 - (-6)/(-4)). Let p be x/6 + (-1)/(-12). Which is the third biggest value? (a) -2/7 (b) p (c) z (d) -3 a Let c be (-216)/90 - 9/15. Let l = 14.97 + -15.1. What is the third biggest value in l, c, 0.5, -0.4? -0.4 Let z = -2280 - -2280.4. What is the third smallest value in -22, -5/2, 0.5, z? z Let s = -128 + 127.47. Let u = -4.53 - s. Which is the fourth biggest value? (a) -2/11 (b) u (c) 0.5 (d) 2/11 b Let a be 4598/10032 - (-2)/(-6). What is the fifth biggest value in 0.2, -1, a, 1/9, 1/2? -1 Let q = -24 + 23.91. Let z = -4.09 - q. Let f = -260 - -260. Which is the biggest value? (a) 18 (b) z (c) f a Suppose -5*d - 145 = -j, -5*d - 145 = 321*j - 326*j. Which is the smallest value? (a) d (b) -0.4 (c) -11 a Let k = 186/5 - 37. Let m be (143/9 + -16)/((-1)/4). Which is the second biggest value? (a) -2 (b) 0.1 (c) k (d) m c Let i(g) = -g**2 + 9*g + 20. Let h be i(14). Let z = 35 + h. Let u be (-6)/z*(-1)/((-8)/(-15)). Which is the third biggest value? (a) u (b) -3/7 (c) 3/8 a Let v = 4611 + -4614. Which is the fourth smallest value? (a) -6 (b) -14 (c) 1 (d) v (e) -2/9 e Let x = 10444 - 10440. Let i = 500/7 + -72. Which is the biggest value? (a) -11 (b) x (c) i b Let v = 8.34 + -13. Let g = v - -4.66. What is the third smallest value in g, 30, 0.3? 30 Let p = -0.09 - -0.19. Let k = -0.1 - p. Let m be (-2 + 63/36)/((-9)/8). What is the second smallest value in k, m, 0? 0 Let v = 17.8 + -31.6. Let u = v - -14. What is the third smallest value in -30/11, u, 0? u Suppose -12 + 2 = -2*f + 2*n, -5*n - 25 = -f. Let l be f*2/((3 + 1)/2). Let s be l/(-15) + (-4)/6. Which is the second biggest value? (a) s (b) 1/3 (c) -0.02 c Let g = 5.24 - 0.24. Let v = g - 4.5. Let x = 1214 + -1213.99. Which is the second smallest value? (a) -2 (b) x (c) v b Let j = 0.94 + -1.34. Let r = -105 - -89. Which is the third smallest value? (a) -0.5 (b) j (c) 5 (d) r b Let h = -9 - -6. Suppose -10 = 5*o, 5*r + 8 = 2*o - 8. Let p be 2 - 1 - (-3)/r. Which is the smallest value? (a) h (b) p (c) 1 a Let g = -132.6679 + 132.8. Let m = -3.8679 - g. Let n = 0.3 + -1.3. Which is the biggest value? (a) m (b) n (c) 6 (d) 4/3 c Let n = 3.7 - -1.3. Let q = 0.085 + 0.915. Let y = 105.9 - 84.9. Which is the second smallest value? (a) q (b) n (c) y b Let l = 4989 + -4994. Suppose -2*q + 3*q - 43 = 0.
{ "pile_set_name": "DM Mathematics" }
3, 0.1, n, -4/5 Let z be (-54)/(-85) + (-3720)/15810. Sort -2/5, z, -15, -26, -2 in increasing order. -26, -15, -2, -2/5, z Let y = -16 + 11. Let v be (-16 - -8)/(1*1/(-2)). Suppose 2*t + 2*r = v, 4*t = 4*r + 4 + 4. Put -4, t, y, 2 in descending order. t, 2, -4, y Let k = 505 + -508.015. Let c = -17 - -17.015. Let i = c + k. Sort 4, 0.5, i, 5 in decreasing order. 5, 4, 0.5, i Let a = 154 + -151. Suppose m - u - 5 = 0, -5*u - a = -2*u. Suppose 0*x + m*x - 4 = 0. Sort 6, x, -5, -4 in descending order. 6, x, -4, -5 Suppose 0 = 219*q + 94*q - 1565. Sort 11, -2, q, -33. -33, -2, q, 11 Suppose -121*c + 80 + 76 = 235 - 79. Let k = 29 + -11. Let a = 1 + -4. Sort a, k, c, -5 in decreasing order. k, c, a, -5 Let p = 5818 - 5819. Put p, -3, 0, 6, -2 in descending order. 6, 0, p, -2, -3 Let x = 705 + -726. Let v be 9/x - ((-705)/231)/5. Put -0.3, v, 5, -1/3 in descending order. 5, v, -0.3, -1/3 Let o(w) = 2*w - 31. Let g be o(13). Let h(x) = 2*x**2 + 10*x - 3. Let q be h(g). Let u be 2 + -1 + 4/(-2). Sort u, q, -4, -5. -5, -4, q, u Suppose 3*j - j - 72 = -2*p, 5*j + p = 200. Let t = -41 + j. Let n be 329/(-105) - (-4)/30 - t. Put n, -1, -6 in decreasing order. -1, n, -6 Let v(f) = f**3 - 7*f**2 + 6*f + 3. Let h(x) = 8*x**2 - 8*x - 3. Let b(i) = -4*h(i) - 5*v(i). Let n be b(1). Sort -1, -1/2, n in descending order. -1/2, -1, n Let j = -22088.8 - -22088.72. Let w = 0.5 - 0. Put w, j, -4, -12 in decreasing order. w, j, -4, -12 Let q be (-18)/24*(2 + -6)*(-1 + -2). Sort -7, 3, 0, 4, q in descending order. 4, 3, 0, -7, q Let r = 271.618 + -271. Let k = r + -0.118. Put -51, k, 2/15 in decreasing order. k, 2/15, -51 Let r(f) = -f**3 + 83*f**2 + 5*f - 840. Let g be r(83). Put 5, g, -0.1 in decreasing order. 5, -0.1, g Let a = -453 - -647. Let s = -198 + a. Suppose 5*f + 1 = 4*q - 0, 4*f - 1 = 5*q. Sort s, q, 22 in descending order. 22, q, s Let k be 1/(5/20)*4/1. Suppose 6*n = k*n + 50. Put 12, n, 4 in ascending order. n, 4, 12 Let v = 11308 + -11309. Put 110, v, 3 in decreasing order. 110, 3, v Let p be ((-16)/10)/(28/70). Let q = 606 - 606. Let h = 2 + -1. Put p, -1, q, h in decreasing order. h, q, -1, p Let m be 2/(-36)*403/(-4433). Sort 2/17, m, -1/5, -0.4 in ascending order. -0.4, -1/5, m, 2/17 Let b = -8 + 9. Let n = 2358 - 2354. Sort -2, b, 2/3, n. -2, 2/3, b, n Suppose 414*g - 12 - 36 = 422*g. Sort 3, g, -51 in decreasing order. 3, g, -51 Let o = -5.97 + -0.03. Let q = o - -12. Let g = -270.836 + 271.336. Sort g, 0.3, q. 0.3, g, q Suppose -9*o = -140 - 130. Let m be -1 + (-15)/(o/(-4)). Sort m, -1, -24. -24, -1, m Let f = 3 - 2.5. Let r(q) be the first derivative of -q**4/4 + 17*q**3/3 + q**2 - 26*q - 37. Let w be r(17). Sort f, -5, w in ascending order. -5, f, w Let f = -857 - -858. Let m be (-300)/151 + 6/3. Sort f, 4, m, 1/2. m, 1/2, f, 4 Suppose -63 = -6*o - 3. Let j be (-46)/o - 3/(-30)*6. Suppose 2*n + 4*a + 2 = 0, 5*n - 8*a = -3*a - 5. Put j, 3, n in decreasing order. 3, n, j Suppose -15*h - 41*h - 53088 = -14*h. Put 2/3, h, 0.04, -2 in decreasing order. 2/3, 0.04, -2, h Suppose 2*d + 8 = 4*y, 3*d - 2*y + 11 = 3. Suppose -75*z = -68*z + 28. Sort -13, -1, d, z in ascending order. -13, z, d, -1 Let h = 16.8 + -13.99. Let c = h + -3.41. Put -21, c, 0 in increasing order. -21, c, 0 Suppose -28*g = -670 + 642. Put 5, 7, g, -2, 13 in descending order. 13, 7, 5, g, -2 Suppose 756 = 630*b - 601*b - 1825. Put -3, -2, b in ascending order. -3, -2, b Suppose 3*o - 10 = o. Suppose g - o*h = 12, 0 = -g - 2*g - 3*h. Let l = 24317/4 + -6079. Sort -2/17, l, g in descending order. g, l, -2/17 Let q be 1 + 18/(-14) + 5136/336. Let k be 13 - (q + (-21)/3). Suppose 5*o - 5 = -0*o. Put k, -1, -2, o in descending order. k, o, -1, -2 Let o = -9.17804 - -0.17804. Sort o, -3, 2/23, -0.2. o, -3, -0.2, 2/23 Let x = 1.008 - 870.008. Let h = -865 - x. Put h, -3, 1/3, 20 in decreasing order. 20, h, 1/3, -3 Suppose 0 = -2*b + 3*j - 113, -6*j + 15 = -j. Sort b, -1, 4, -3, -0.5. b, -3, -1, -0.5, 4 Let p be ((-10)/15)/(6/333). Sort p, -4, 5, 3 in descending order. 5, 3, -4, p Let d = 55.1 + -55. Suppose -2*n - 3 + 11 = 0. Let r(o) = -2*o + 3. Let y be r(n). Sort 1/5, y, d, 3/5 in descending order. 3/5, 1/5, d, y Let d be (-68)/(-68) - (8/3 - 1). Suppose 29 = 3*f + 4*h, 4*h + 15 = 7*h. Sort f, d, -0.3 in descending order. f, -0.3, d Suppose -1055 = 161*x - 202 - 48. Sort 8, -3, -39, 3, x in ascending order. -39, x, -3, 3, 8 Suppose -123*f + 122*f + 3778 = 3*l, 4*l - 5088 = 5*f. Sort l, -5, 6 in decreasing order. l, 6, -5 Let p = 16059 + -224829/14. Sort 12, p, -0.5, -1/7 in ascending order. -0.5, p, -1/7, 12 Let c = -2.1564 - -1.6564. Put 397, 5, -1, 0, c in descending order. 397, 5, 0, c, -1 Let g(x) = 6*x**2 + 48*x + 8. Let a be g(-8). Suppose a = 3*h + 11. Sort h, 4, 3 in decreasing order. 4, 3, h Suppose -4*k + 83 = -2*s - 61, -4*s = 2*k - 72. Suppose 3*o + 48 = k. Let d = 34 - 33. Put -1, d, o in descending order. d, -1, o Let j(i) = -i**3 + 6*i**2 + 16*i + 4. Let h be (112/21)/(5/3 - 1). Let d be j(h). Suppose -d = u - 7. Sort -11, -2, u in descending order. u, -2, -11 Suppose -52*z - 93*z = 145. Put 0, -5, -10, z in ascending order. -10, -5, z, 0 Let t = -0.4398 + 2.4398. Put 57, t, 6 in decreasing order. 57, 6, t Suppose -600 = -44*r - 380. Sort r, -18, 4, -8. -18, -8, 4, r Let u(c) = 541*c + 3783. Let z be u(-7). Suppose -9 + 1 = 4*b. Sort -5, z, b, 5 in descending order. 5, b, z, -5 Let i = -42 + 42. Suppose -10*r - 5*r + 45 = i. Sort 0, 1, 2, r in ascending order. 0, 1, 2, r Let b be ((-48)/9)/(8/(-12)). Suppose b*z + 1 = -7. Let p be 2/7 + 185/(-35). Put z, p, 0 in descending order. 0, z, p Let a be (-36524)/(-4367) + -4*1*2. Sort -1, a, -7, 1 in decreasing order. 1, a, -1, -7 Let u(h) = -4*h**2 + 281*h - 340. Let k be u(69). Put -1, 1, 1761, k in decreasing order. 1761, k, 1, -1 Suppose 19*v = 22*v + 30. Let r be (-8)/(-20) - (-6)/v. Let a = -0.3 + 2.3. Sort r, -2, a in decreasing order. a, r, -2 Suppose 4*x + 1 = -5*w, 4*x + 4*w = -0*x. Let q = 2 - x. Let s be ((-6)/(-7))/((-318)/1113). Put -0.2, q, s in descending order. q, -0.2, s Let a = 16213 - 16227. Let o = -73/2 - -35. Sort o, a, -0.2 in increasing order. a, o, -0.2 Let v = 4696 - 4702. Sort -16, -1, 0, v, -3 in increasing order. -16, v, -3, -1, 0 Let k = -34903 - -279227/8. Put -7, 2/3, 7/5, k, 0.4 in increasing order. -7, k, 0.4, 2/3, 7/5 Let h = 2703 + -2694. Sort h, -0.7, 0.09. -0.7, 0.09, h Let u(g) = -1250*g**3 - 3*g - 2. Let c be u(-1). Suppose -3*d - 773 = -4*z, 4*d - 2*z - 207 = -c. Sort d, -4, 5 in descending order. 5, -4, d Suppose -3*l - 43 = -10. Let w = 0.06 + -2.06. Let q = -44929 + 673937/15. Put q, w, 5, l in increasing order. l, w, q, 5 Let p = 3 + -1. Suppose -3*d + 36 = -22*z + 25*z, -2*z = 3*d - 36. Suppose -d*s - 57 + 45 = 0. Put p, 1, s in descending order. p, 1, s Suppose 7*a - a = 18. Suppose 14*d + 5 = 11*d - 4*l, -3*l = -a. Sort -2, -4, d in descending order. -2, d, -4 Let o be 28/(-35) + (-11)/5. Put -2, 5, o in decreasing order. 5, -2, o Suppose 37*c - 38*c - 5*q = 16, 2*c - q = 1. Let s be 6 + (-2 + 2)/c. Put 1, s, -3 in decreasing order. s, 1, -3 Suppose 0 = -8*s - 6*s. Suppose 2*w - 4 = -s*w, -3*c = -3*w + 9. Put c, -90, 5 in ascending order. -90, c, 5 Let g = 3.3578 + -0.3578. Sort 0.1, -1, -9/4, g in ascending order. -9/4, -1, 0.1, g Let f = 141 - 139. Let t(r) = 3*r**2 + 28*r - 27. Let u be t(1). Put -5, -4, f, u in ascending order. -5, -4, f, u Let j be ((-42)/12)/((-9)/6 + 2). Sort -2, 10, j, -1 in decreasing order. 10, -1, -2, j Let a = -4.8 + -0.2. Let o = 20.11 - 0.11. Let i = o + a. Put -3, i, 0 in descending order. i, 0, -3 Let r = 7854 + -7853.8. Put -8, -1/6, 3/2, 2, r in increasing order. -8, -1/6, r, 3/2, 2 Suppose u + 14*n = 15*n - 3, -5 = -u + 5*n. Let t = 42 + -44. Put u, t, 98 in decreasing order. 98, t, u Let t be 15/12 + 0 + (-118)/(-8) + -20. Let b be (-2)/(-5) - (-36)/10. Put 3, b, t in increasing order. t, 3, b Let h be (1 - 0)*2*15/30. Sort h, 9, -2, -6 in ascending order. -6, -2, h, 9 Let c(d) = -771*d - 2312. Let t be c(-3). Let x be (5 + -3)*2*2. Sort x, t, -2. -2, t, x Let w = -0.148 - 0.052. Let o = 62 - 309/5. Let f = 13451 - 13449. Put o, w, -5, f in decreasing order. f, o, w, -5 Let o = 5.648 + -5.348. Sort o, -0.6, -9, -5, 1 in ascending orde
{ "pile_set_name": "DM Mathematics" }
))/1. Let l(r) = r - 1. Let t(v) = 5. Let m(b) = s*t(b) - 5*l(b). Let o(f) = -4161 + f**2 + 4161. Give o(m(p)). 25*p**2 Let a(f) = -53*f**2. Let d(y) = -y + 48775 - 48775 - 44*y. Calculate a(d(p)). -107325*p**2 Let z(b) = 42*b**2 + 4364*b. Let r(l) = 18*l**2 + 1870*l. Let g(m) = -16*r(m) + 7*z(m). Let f(c) = -2*c. Determine f(g(q)). -12*q**2 - 1256*q Let u(w) = 51*w**2. Let q = -952 + 955. Let i(s) be the third derivative of 0 + 0*s**4 + 0*s**q + s**2 + 0*s - 1/60*s**5. What is u(i(x))? 51*x**4 Let k(g) = -779967 + 779967 + 2*g. Let j(y) = -50*y + 4. Determine k(j(w)). -100*w + 8 Let m(j) = -5*j**2. Let h be (-130)/14 + 9 - (-88)/14. Let w(p) = -h*p - 5*p + 6*p - 6*p. What is m(w(r))? -605*r**2 Let m(b) = -8726*b. Let w(g) be the second derivative of -g**4/12 - 2910*g. Calculate w(m(t)). -76143076*t**2 Let r(p) = -9*p**2 + 0 + 0. Let f(b) be the first derivative of -b**2/2 - 4*b - 21. Let j(m) = -3*m - 11. Let a(z) = -11*f(z) + 4*j(z). Determine a(r(x)). 9*x**2 Let p(y) = -2*y - 4. Let d(x) = 60693*x. Calculate p(d(u)). -121386*u - 4 Let p(g) = 726*g - 2. Let c(y) = 80*y + 19. Calculate p(c(t)). 58080*t + 13792 Let d(l) = 158*l + 2 - 5 + 3 - 162*l. Let v(f) = 2*f**2 + 3*f. Suppose -8 = 2*x + 2*x. Let w(r) = 2*r**2 + 2*r. Let p(s) = x*v(s) + 3*w(s). Determine p(d(a)). 32*a**2 Let y(u) = -u. Let d(i) = -17*i**2 + 10*i - 123. Let a(j) = 24*j**2 - 14*j + 184. Let x(z) = -5*a(z) - 7*d(z). Determine x(y(s)). -s**2 - 59 Let b(g) = 1210*g**2. Let l(p) = 7938*p**2 + 16*p. Give l(b(x)). 11622025800*x**4 + 19360*x**2 Let f(j) = 2*j**2. Suppose 0 = -10143*a + 10184*a - 1148. Let r(p) be the third derivative of 1/6*p**3 + 11/8*p**4 + 0*p + 0 - a*p**2. What is r(f(d))? 66*d**2 + 1 Let n(x) = 2*x**2. Let q(i) be the first derivative of -i**5/30 + 2*i**4/3 + 71*i**2/2 + 2*i - 68. Let u(s) be the second derivative of q(s). What is n(u(y))? 8*y**4 - 128*y**3 + 512*y**2 Let z(y) = 40*y + 5. Let v(o) = 53063*o**2 - 26550*o**2 - 26514*o**2. What is z(v(d))? -40*d**2 + 5 Let y(k) be the third derivative of -43*k**5/15 - 20365*k**2. Let g(x) = 2*x - 2*x + 2*x. Give g(y(m)). -344*m**2 Let y(k) = 2*k**2. Let a(m) be the first derivative of 27/2*m**2 - 100 + 0*m. Determine y(a(z)). 1458*z**2 Let o(z) = z**2 + 1390*z + 10. Let y(s) = -139*s - 1. Let v(b) = -3*o(b) - 30*y(b). Let d(r) = 54*r + 2. Give v(d(g)). -8748*g**2 - 648*g - 12 Let m(v) = -1272*v. Let c(r) = -1158*r**2. Calculate m(c(x)). 1472976*x**2 Let b(q) = -73*q. Let a(i) = 1718114*i. What is b(a(d))? -125422322*d Let j(y) = 80*y - 35. Let i be (-150)/(-5) - (2 + 3). Let f(u) = 4 + 6*u + 4*u - i*u + 6*u. Let n(v) = 35*f(v) + 4*j(v). Let l(t) = -10*t**2. Give l(n(b)). -250*b**2 Let u(w) = 15*w. Let b(l) = -9*l**2 - 14*l + 7. Suppose 20*t - 9*t = 77. Let q(d) = -5*d**2 - 8*d + 4. Let h(r) = t*q(r) - 4*b(r). Calculate h(u(v)). 225*v**2 Let y(f) = 133*f. Let u(t) = -5530*t + 1 + 5528*t + 5 - 6. What is u(y(j))? -266*j Let u(o) = -60*o. Let x(b) be the third derivative of -b**5/15 - 2*b**2 - 14*b - 19. Calculate x(u(v)). -14400*v**2 Let u(z) = 10*z**2. Let i(y) = -16*y - 2982. What is i(u(h))? -160*h**2 - 2982 Let q(s) be the second derivative of -73*s + 0*s**3 + 0 - 1/6*s**4 - 93/2*s**2. Let w(b) = 2*b. What is q(w(g))? -8*g**2 - 93 Let b(a) = -a. Let k(l) = -18898*l - 350. Give b(k(j)). 18898*j + 350 Let h(y) = -6296 + 6*y**2 + 6296 - y**2. Let p(i) = 532*i. Give h(p(f)). 1415120*f**2 Let u(q) be the third derivative of q**4/12 + q**2 + 67. Suppose 0 = 5*p + 5*h - 430, 0 = 6*p - 4*p - 2*h - 168. Let i(r) = -32*r + 20*r - p*r. What is u(i(a))? -194*a Let m(y) = -212*y**2. Let n(r) = -94*r + 3. Let d(v) = -312*v + 10. Let o(j) = -3*d(j) + 10*n(j). Determine o(m(k)). 848*k**2 Let f(i) = -201*i - 2*i + 207*i. Let p(m) = 87*m**2 - m. Give p(f(w)). 1392*w**2 - 4*w Let s(w) = 2*w**2. Let q(o) = 9480288*o. What is q(s(l))? 18960576*l**2 Let h(b) = -3961*b. Let f(r) = -5957*r**2. What is h(f(m))? 23595677*m**2 Let y(v) = 48*v. Let g(c) = c**3 - 2*c**2 - 5*c - 2. Let z be g(5). Let s(o) = -z*o + 2*o**2 + 48*o. Determine y(s(q)). 96*q**2 Let q(j) = j**2 - 15*j + 3. Let l(y) = 2*y**2 - 40*y + 8. Let p(i) = -3*l(i) + 8*q(i). Let v(o) be the first derivative of o**2 + 145*o - 78. Determine p(v(c)). 8*c**2 + 1160*c + 42050 Let f(q) = 368*q - 1. Let r(n) be the second derivative of n**3/2 + 2*n + 304. What is r(f(d))? 1104*d - 3 Let h(s) = 32*s**2 + 2 - 6*s - 11 + 15*s**2 - 31*s**2. Let n(c) = 47*c**2 - 17*c - 26. Let m(k) = 17*h(k) - 6*n(k). Let q(z) = -2*z**2. Give m(q(l)). -40*l**4 + 3 Let x(o) = o. Let y(r) = -2*r. Let c(t) = x(t) + y(t). Suppose -9*l - 13*l + 616 = 0. Let p(q) = 0*q + l*q**2 - 5*q**2 + 0*q. Calculate p(c(n)). 23*n**2 Let i(s) be the first derivative of 566*s**2 - 520. Let b(x) = x. Give b(i(u)). 1132*u Let y(g) = -621211*g - 1. Let l(x) = -22*x**2 - 5*x. What is y(l(o))? 13666642*o**2 + 3106055*o - 1 Let z(r) be the second derivative of -10*r**4/3 + 5*r + 270. Let w(t) = t**2 - 5*t. Calculate w(z(c)). 1600*c**4 + 200*c**2 Let f(u) = 15984*u - 26. Let g(o) = 14*o**2. What is f(g(h))? 223776*h**2 - 26 Let c(r) = -2*r. Suppose 26*j + 100 = 46*j. Let q(u) = -7*u**2 + 2*u - 5. Let f(i) = 4*i**2 - 2*i + 2. Let t(a) = j*f(a) + 2*q(a). What is t(c(l))? 24*l**2 + 12*l Let x(q) = 2*q + 261. Let v(h) be the first derivative of -88*h**2 - 6 + 31*h**2 + 28*h**2 - 265 + 28*h**2. Calculate v(x(r)). -4*r - 522 Let x(r) be the first derivative of 121*r**4/12 - 13*r - 102. Let q(h) be the first derivative of x(h). Let p(i) = -i**2. Give p(q(m)). -14641*m**4 Let d(u) = -7*u**2. Let c(b) = -5267*b**2 + 2618*b**2 + 2656*b**2 + 2. What is d(c(i))? -343*i**4 - 196*i**2 - 28 Let l(y) = 45*y + 2. Let i(n) be the third derivative of 25*n**4/24 - n**3/6 - 683*n**2 - 1. Calculate l(i(s)). 1125*s - 43 Let v(c) = 4*c - 59. Let m be v(16). Let h(a) = 104 - 3*a**2 - m*a**2 - 105. Let x(b) = 2*b. Calculate x(h(j)). -16*j**2 - 2 Let k(d) = -1277000 + 1277000 - 25*d. Let o(z) = 31*z**2. Calculate o(k(t)). 19375*t**2 Let b(l) = -l - 6. Let t(x) = 1. Let s(w) = b(w) + 6*t(w). Let k(y) = -54 + 113 - 57 - 2 - 6*y. What is k(s(q))? 6*q Let s(q) be the first derivative of 3*q**3 + 463. Let h(l) be the second derivative of -l**3/2 + l. Calculate h(s(m)). -27*m**2 Let c(o) = -18*o. Let b(u) = 10187*u**2 + 2*u - 12. What is b(c(g))? 3300588*g**2 - 36*g - 12 Let p(m) be the second derivative of 0 + 1/2*m**3 - 136*m + 0*m**2 + 17/4*m**4. Let w(f) = -2*f. Determine p(w(d)). 204*d**2 - 6*d Let f(q) = -4*q**2. Suppose 0 = 11*m - 4*m - 161. Let p(c) = m*c - 4*c - c. Calculate p(f(k)). -72*k**2 Let o(w) be the second derivative of w**4/2 + w**3/2 + 3*w. Let p(x) = -1494*x**2 + 5975*x**2 - 1492*x**2 - 1493*x**2 - 1494*x**2. Give p(o(s)). 72*s**4 + 72*s**3 + 18*s**2 Let n(j) = j**2. Let f = 111 - 89. Let i(y) = -2*y**2 + 6*y + f*y - 28*y. Determine n(i(g)). 4*g**4 Let i(l) = 52*l. Let a(b) = b - 57431. Calculate i(a(n)). 52*n - 2986412 Let p = -14 + 19. Suppose 0 = -f - a + 3 - 2, p*a + 9 = 2*f. Let r(m) = -7*m - 2*m**f + 7*m. Let d(l) = -l**2. Determine d(r(k)). -4*k**4 Let k(q) = -75*q**2 + 2*q. Let h(i) = 5*i**2 + 42*i + 130*i - i**2 - 172*i. Determine k(h(l)). -1200*l**4 + 8*l**2 Let m(w) = 16*w**2 + 5*w + 20. Let t(h) = -7*h**2 - 2*h - 8. Let f(b) = 2*m(b) + 5*t(b). Let k(q) = -961*q**2. Calculate k(f(s)). -8649*s**4 Let w(t) = -3*t**2. Let n(r) = 3356 - 6714 + 210*r**2 + 3360. Determine w(n(h)). -132300*h**4 - 2520*h**2 - 12 Let t(y) = -y**2. Let w(k) = 179168051*k. What is w(t(i))? -179168051*i**2 Let h(f) = 6*f - 9. Let x(m) = -8*m - 45*m + 91*m - 43*m. Calculate x(h(s)). -30*s + 45 Let s(c) = 18*c**2 - 8*c + 24. Let k(h) = 11*h**2 - 5*h + 15. Let b(g) = -8*k(g) + 5*s(g). Let v(a) be the first derivative of -41*a**2/2 - 3. What is b(v(l))? 3362*l**2 Let z(p) = -11*p. Let w(k) = -272*k + 35. Determine z(w(v)). 2992*v - 385 Let w(i) = -5868*i**2. Let r(d) = 112*d**2 - 39*d. Let o(b) = 43*b**2 - 15*b. Let z(x) = 13*o(x) - 5*r(x). Give z(w(t)). -34433424*t**4 Let h(y) = y**2 - 4*y + 2. Let g(r) = -84*r**2 + 96*r - 48. Let w(j) = g(j) + 24*h(j). Let v(x) = -31*x. Calculate w(v(p)). -57660*p**2 Let o(j) = -2*j**2. Let a(m) = 74520*m - 138. Let r(y) = -8599*y + 16. Let q(i) = -8*a(i) - 69*r(i). Give o(q(p)). -16006482*p**2 Let o(u) = -6202*u**2. Let v(
{ "pile_set_name": "DM Mathematics" }
- 6, -f*i = d + 12 for d. 3 Suppose 4*q - 14 = -3*q. Suppose -i - 5*f = q, 4*i + 8 = 4*f - 7*f. Let o be 3/((-15)/(-25)) - (i + 2). Solve 20 = 3*h + 2*v, -h = -o*h - 5*v + 36 for h. 4 Suppose 0 = q + 2*q. Let m(b) = -b**3 - 31*b**2 - 8*b + 73. Let r be m(-31). Let l = -316 + r. Solve -5*d - v + 5*v + 3 = q, 2*d - l*v = -9 for d. 3 Suppose -5*x + 17 = -t, -x + 9*t - 14*t = 33. Solve 3*b - 17 = -q - 5, x*q = 2*b - 16 for b. 5 Suppose -3*m - 2*m = -5*y - 185, -4*m - y = -163. Let l be (-1 + -4)*(-24)/m. Suppose -4*f - 16 + 32 = 0. Solve -f*o - 21 = -3*v, -2*v = 2*o + v - l for o. -3 Let a be 12*((-10)/(-7))/(12/14). Suppose -2*d = a*d. Solve -2*y = 2*h + 10, -y + d = -h + 3 for h. -1 Let r = 865 + -855. Let b(g) = -g**2 + 4*g + 2. Let z be b(3). Let u = 76 - 76. Solve -z*j + r + 5 = u, -5*f + 5*j = 20 for f. -1 Let n(w) = w**3 - 12*w**2 + 30*w + 19. Let v = 35 + -27. Let x be n(v). Solve 0 = -x*m - 5*t - 1 + 15, -t = 4*m - 13 for m. 3 Suppose 0 = -5*d, 0 = 3*u + d + 3*d. Let p = -196267 - -196270. Let v(i) = 6*i**3 + i**2. Let c be v(1). Solve 5*m = -p*j - c - u, -3 = j + m for j. -4 Let a(b) = b**3 + b**2 - 25*b - 372. Let c be a(8). Solve h - c = -3*o, -h = -152 + 148 for o. 0 Let p(s) = -s**3 - 14*s**2 - 12*s - 162. Let j be p(-14). Solve 0 = -2*a - 2, -2*q = -0*q + 2*a + j for q. -2 Suppose -91*z + 192 = -80*z + 53*z. Solve 0 = -2*k - 2*u - 4, -3*k - 7 = -z*u + 5*u for k. -3 Suppose -i + 4*o + 24 = 0, 2*i + 410 = -4*o + 386. Solve 5*w + 0*w - 4*y + 36 = i, 2*y = 5*w + 28 for w. -4 Let j(p) = -14*p**2 + 125*p + 75. Let b(u) = 9*u**2 - 83*u - 50. Let s(y) = -8*b(y) - 5*j(y). Let o be s(20). Solve -2*f - 5 = -o*t, 4*f = f + 3*t - 12 for f. -5 Let h(f) = f**3 + 22*f**2 + 40*f + 4. Let l(i) = 4*i**3 - 16*i**2 - 7*i + 8. Let r be l(4). Let v be h(r). Solve -1 = v*g + t, 8 = 3*t - 1 for g. -1 Suppose 4*q + 3*z + 3*z - 50 = 0, -q + z = 0. Let i = 19 + -15. Solve -i*r = 4*a + 4, 3*r = -2*a + a + q for a. -4 Let l be -10*(-2)/(-1) + 12 - 1*-11. Solve -3*u + 357*b = 358*b + 5, u - 5 = l*b for u. -1 Let r(h) = h**3 + 82*h**2 + 313*h + 80. Let f be r(-78). Solve -g - 2 = 0, 0*g + 16 = 5*o + f*g for o. 4 Let n be (-33)/231 - (-108)/21. Solve 12*a + 32 = 3*u + 8*a, -4*u = -n*a - 41 for u. 4 Let a(q) = -q**2 + 21*q - 14. Let l be a(19). Suppose -5*c - c = -l. Solve 2*h = 4*x - 16, -c*x + 4*h = h - 14 for x. 5 Suppose 2*w = -5*g + 9, 483*w - 3 = 479*w + 5*g. Solve -6 = w*p + 4*d, -12 = p - 4*d + 9*d for p. 3 Suppose -14*v + 24 + 4 = 0. Let t be (v/8)/((-15)/(-120)). Solve 5*o + 3*h = 7, -4*h + 2 - 10 = -t*o for o. 2 Let z(s) = s**3 + 6*s**2 - 14*s + 18. Let b = -150 - -142. Let f be z(b). Solve -v - v + f*t = 6, 0 = 3*v + 3*t - 21 for v. 2 Let x(q) = -q**3 + 2*q**2 + 3*q. Let z be x(3). Suppose -5*t + z*t = 55. Let o be -5 + (-101)/t - 4/22. Solve o*n - 5*r + 5 = 0, -3*n + r - 7 = -n for n. -5 Let u be 36/(-28) + 11/((-154)/(-4)). Let j be u/(-4 + (115/(-6))/(-5)). Solve -k + j*a - 1 = 2*a, 0 = 3*k - a + 14 for k. -5 Suppose -10*d - 25*d - 65 = -48*d. Solve -29*a = -2*y - 27*a, d*y + 15 = 2*a for y. -5 Let n be 36/21 - 572/(-91). Solve 18*l + n = 20*l - a, -5*l + 11 = 2*a for l. 3 Suppose 2*f - 4*l = 15 + 19, 4*f - 2*l - 98 = 0. Suppose 0 = -12*y - f + 111. Solve -3*d = 2*o + y + 11, d + 16 = -4*o for o. -3 Suppose -40 = -23*g + 19*g. Let u be (13 - g)*51/9. Solve c = -5*b + 15, 0*c = 5*c + 2*b + u for c. -5 Let q = -67 + 69. Suppose -4*o - 71 = -5*c + 51, -q*o + 3*c = 62. Let r be (o/8)/((-5)/10). Solve -2*t = -5*w - 31, -4*t - 1 = 4*w + r for w. -5 Suppose -13*u + p - 55 = -18*u, -2*p = -3*u + 46. Solve -3*x - u = -3*c, -25 = -3*x + 8*x for c. -1 Let a be ((-10)/3)/(4 - 136/36). Let t = a - -16. Suppose 2*m - 4 = 5*x - 12, -3*m + 22 = x. Solve 5*p = 5*w + 40, 4*p = -w + t + m for p. 3 Suppose 5*q = -2*f + 24, -5*q = 12 + 8. Suppose -23*l = 5*l - 28. Let s be 550/154 + l + f/(-14). Solve -2*a - r + 3 = 0, -s*a + 2*r = 4*r - 6 for a. 0 Let h(l) = 6*l**3 + 78*l**2 + 22*l - 13. Let o be h(-14). Let x = o - -1501. Let v be (-12)/(-2) + 1 + 0. Solve -4*j - 2*q = 7 - 21, -5*q - v = -x*j for j. 3 Let n(h) = -h**2 - 61*h - 720. Let y be n(-45). Solve 4*w - 3*x + x - 6 = y, 4*x - 40 = -5*w for w. 4 Let g(x) = 4*x**2 - 115*x - 27. Let q be g(29). Suppose -4*l + 14 = -j, 5*j - 2*j = -3*l + 18. Solve -5*p = j*k - p + 10, -3*p = -q*k + 11 for k. 1 Suppose -8*q = -12*q - 372. Let a = q + 105. Solve a = -3*n, 0*z = 5*z - 4*n - 36 for z. 4 Suppose -80 + 46 = 7*j - 48. Solve -4*v - z = 10, 0 = -3*v + z + j*z - 15 for v. -3 Suppose 2*g - g = 7. Let s be 70/10*1/g. Let r be s/(-7) + (-72)/(-14). Solve r*l = i - 3, 2 = i + 3*l - 7*l for i. -2 Let u(r) = 11*r + 51. Let s be u(-6). Let m(g) = g + 14. Let h be m(s). Let x be 0/((h*2)/((-18)/27)). Solve -3*o - 17 = -t + 3*t, o + 5 = x for t. -1 Suppose 0 = 72*l - 82 + 10. Suppose -b + l + 5 = 3*v, v - 2 = 5*b. Solve -10 = 4*z + v*r, 3*z + r + r = -5 for z. -5 Let o(b) = 2*b**2 + 19*b - 27. Let q be o(-11). Let d(r) = -r**2 - 5*r + 71. Let c be d(q). Solve 2*x = -2*x - 5*k - 4, -c*k = 0 for x. -1 Suppose 525 = 13*c + 92*c. Solve 3*u = q - 11, 3*q - c = -9*u + 4*u for u. -2 Suppose -5*v - 3*y + 42 = 0, 14*v - 9*v - 2*y - 22 = 0. Suppose -146 + 116 = -v*h. Solve 2*a - h = -2*a - z, 5 = -3*a + z for a. 0 Let o(a) = -a**3 + 3*a**2 + 9*a + 8. Let c = 79 - 74. Let q be o(c). Solve -5 = -4*s - q*y + 10, 20 = 5*s + 4*y for s. 0 Let s be 9*((-35)/15)/(-7). Suppose 4*j + s = -3*q, -j = -q - 12 + 4. Suppose -j*g = -21 + 9. Solve 0*r - g*r - 8 = -2*n, -4*n - 16 = 0 for r. -4 Let p(c) = -c - 2 - 6 + 0 + 2. Let s be p(-10). Suppose -v - 31 = -20*h + 15*h, 0 = 4*h + 3*v - 21. Solve -z + 4 = 3*l - s, 0 = -3*z - 3*l + h for z. -1 Suppose -5*r - 19 = -4*n, 0*r + 10 = 2*r. Solve z + 5*j + 5 = -n, 5*j = -5*z for z. 4 Let g(z) = 218*z - 10682. Let w be g(49). Solve 4*i - 3*v = 3*i + 17, 5*v + 30 = w for i. -1 Suppose 2*n + 0 = 4. Suppose -z + 4*l = -20, 5*z - n*l - 58 = -3*l. Suppose -8*y = -2*y - z. Solve 2*t = c - 5*c, 0 = -y*t for c. 0 Suppose -35*y + 75 = -135. Solve -14*w + 2*z - 4 = -12*w, -3*z = -y for w. 0 Let w(o) = 0*o**3 + 579 + o**3 - 582 - 16*o**2 + 42*o. Let l be w(3). Solve 5*h - 2*j + 2 = 2*j, -4*j - l = -h for h. -2 Let d(v) = -v**3 - 12*v**2 + 13*v - 27. Let f be d(-13). Let w be 8/(-6) + 18/f. Let p = 6 + w. Solve -p*u + 3*q = 3, 0*u - q = 4*u + 15 for u. -3 Let x = -26867 + 26871. Let s = -6 - -11. Solve 29 = s*k + x*j, -4*j = 1 - 5 for k. 5 Suppose 95*l - 131*l + 144 = 0. Solve -6*t + 27 = -3*o, t - l*o + 0 - 8 = 0 for t. 4 Suppose -22*w + 61*w = 585. Let h = 17 - w. Solve 0 = h*m + m + 3, -4*t - 4*m - 12 = 0 for t. -2 Let x = 77 - 75. Let d be x/(-7) + (-296)/(-56). Solve 0 = -d*a + 4*t + 30, -a = -t - 3 - 4 for a. 2 Let l be (33/6 - 8)*(-8)/(-5). Let j be (1/l)/((-8)/384*4). Solve 0 = 4*r - 4, o + 12 = 4*o + j*r for o. 3 Let v(z) = -z**3 + 56*z**2 - 9*z + 3764. Let a be v(57). Solve 25 = -5*q, 7*g + 2*q + a = 9*g for g. -4 Let g(i) = -4*i + 20. Let b be g(5). Suppose b = 6*c + 313 + 125. Let s = c + 78. Solve 5*l = 0, -5*l - 9 = s*m + 16 for m. -5 Let a = -13865 - -13874. Solve 5*k = -r - 20, k - 3*k = -3*r - a for r. -5 Let d be (-44)/(-12) + (-8)/(-6). Suppose y + 24 = 4*y. Let g be (22 - 0)*(-1)/(-2). Solve -y = -5*n + 5*h - h, n - d*h = -g for n. 4 Suppose -2*x + 58 = 4*j, -j + 3*x = -11 - 7. Let l(v) = -v**3 - 13*v**2 - 60*v - 89. Let w be l(-6). Solve 5*h - o = -j, 5*o - w = 2*h + 10 for h. -2 Let y(t) = 37*t + 1130. Let m be y(-30). Solve -2*j - 12 = -q, -q + 3*j + j + m = 0 for q. 4 Suppose -26*p + 20*p + 84 = 0. Suppose 9*n - 2*f - 9 = 4*n, -f = 2*n - 9. Solve -m = 4*d + m - 2, -4*m = n*d - p for d. -2 Let v = -19 - -17. Let m be ((-21)/(-84))/(v/(-16)). Suppose 0 = 3*i + 9, -7*c + i + 23 = -2*c. Solve -c*h = m*b - 14, 6*b + h - 7 = 2*b for b. 1 Let h = -8130 - -8137. Solve -2*b + 3*k + 5 = h, 0 = -5*b + k - 18 for b. -4 Let g be 18/(-4)*(-16)/(-12). Suppose 0*b - b + 6 = -5*y, -53 = -5*b + 2*y. Let o = b + g. Solve 5*i - 22 = -x + o, x - 3*i + 13 = 0 for x. 2 Suppose 4*w - 11 - 3 = -f, -2*f - 3*w = -13. Let h(g) = 10*g - 17. Let o be h(f). Solve j = -o*x - 8 + 19, -x = 3*j - 1 for j. -1 Let u = -253 - -256. Suppose -2*a + 5*g = -36, 4*g = 5*a + u*g - 44. Solve 4*y + 4*p = a, -10 = y - 4*p + 3 for y. -1 Let g be 40*(
{ "pile_set_name": "DM Mathematics" }
- 90 = -4*q. Solve 3*p + 2*p + q = 0 for p. -3 Let i(m) be the second derivative of -m**5/20 + 5*m**4/6 + m**3/6 - 3*m**2 - m + 16. Let v be i(10). Solve v*r - 3 + 7 = 0 for r. -1 Suppose -3 = -u - 0. Let z(v) = -18 - 6*v + u - 15 - 6. Let n be z(-6). Solve -2*o - 2*o - 4 = n for o. -1 Let q(z) = -2*z**2 - 97*z - 269. Let d be q(-45). Solve -6*v = -d*v - 80 for v. -2 Let l(r) = -r**3 + 11*r**2 + 7*r + 45. Let n be l(8). Let i = 294 - n. Solve 0 = 3*h - 10 + i for h. 3 Let q = -4 + 8. Suppose 1379 = 210*p - 1981. Solve p = -q*i - 4 for i. -5 Suppose -10*u = 3*u - 30*u - 26*u. Let i be ((-48)/30)/((-2)/10). Solve u = -q + 13 - i for q. 5 Let g = 21 - 11. Let m be ((-48)/g)/(-5 - 141/(-30)). Solve 11*i - 7*i = -m for i. -4 Let n be (10/(-20) + -4 + 4)*(-348)/2. Solve 49*b - n = 109 for b. 4 Let v(c) = -2*c**3 + 63*c**2 + 34*c + 1. Let s be v(32). Solve 0 = 41*k - s*k + 120 for k. 5 Let q = 5 + -1. Let a(v) = -156*v - 936. Let c be a(-6). Solve c = 2*u + q for u. -2 Let j = 469 + -467. Suppose 13 = j*w + 5*y, -6 - 9 = -2*w - 3*y. Solve 0 = -8*b - w - 15 for b. -3 Suppose 6 = -2*o - f - 1, 11 = -4*o - f. Let r be 2 + o*(-2)/(-2). Let l be 1*(-2)/4*r*-1. Solve 2*d = -l*d for d. 0 Suppose -392*u + 379*u + 3172 = 0. Solve -48*p - u - 188 = 0 for p. -9 Let l be ((-2)/(-4))/((-2)/76). Let z(a) = 154*a - 142. Let w be z(1). Let r be w/2 + (l - -22). Solve x - 6 = -r for x. -3 Let j = 197 + -171. Let g be (-40)/(-24) + (-118)/(-3). Solve j - g = -5*n for n. 3 Let n(u) = -u**2 + 4*u - 3. Let z be n(2). Suppose 21 = 8*d + 13*d. Suppose 0 = t - 2*j - 10, -j - 4*j + d = 4*t. Solve z + 15 = t*g for g. 4 Let p(j) = 5*j + 156. Let w be p(-27). Solve -w = -9*o - 57 for o. -4 Let i(l) = -14*l + 6. Let w be i(33). Let p = w + 464. Solve 2*h + 30 = p*h for h. 5 Let z(a) be the third derivative of a**4/3 + 37*a**3/6 + 2*a**2 + 7*a. Let r be z(-4). Solve -6 + 31 = r*c for c. 5 Suppose 9*t + 15 = 12*t - 5*i, -t - 12 = 4*i. Suppose 0 = -5*z + 68 - 18. Solve t = -4*s + z - 2 for s. 2 Let l = -12690 - -12767. Solve 63*s + 42 = l*s for s. 3 Suppose -27 = -b - 8. Let q = b - 15. Suppose 0 = 5*p + q*m - 0*m - 4, 0 = 5*p + m - 1. Solve 3*d = -p - 15 for d. -5 Suppose 3*u + u = 0. Suppose 0 = -u*w + 5*w - 25. Let f = -31119 - -31126. Solve -w*z - 22 = -f for z. -3 Let h = 5008 + -5006. Solve -43*y = -41 - h for y. 1 Let y(n) = -n**3 - 9*n**2 - 7*n. Let q(o) = o**2 + o. Let c(t) = -3*q(t) - y(t). Let d be c(-5). Suppose 0 = -d*p - 37 + 127. Solve 3*w + 3 = p for w. 5 Suppose 0 = 7*q - 25*q + 1404. Suppose -64*o = -q*o + 168. Solve 0 = 4*r + 8 + o for r. -5 Suppose -5*k = -5*v - 25, 5*v - 8 = 17. Suppose 2*d = 2*s - k, 15*d - 6 = -2*s + 13*d. Solve -2*b + s*b = 4 for b. 2 Let q(y) = 4*y + 2. Let f be q(2). Suppose -f = -8*h + 3*h. Let m be (-3*(-3)/(-2))/(h/(-4)). Solve -m = 3*o - 6*o for o. 3 Suppose -2*z = -23 - 311. Let p = -162 + z. Solve p*f + 7 = 2 for f. -1 Suppose 2*m = 950 - 100. Suppose -418*z + m*z - 112 = 0. Solve z = -23*t + 27*t for t. 4 Let b be 9/21 - 606/42. Let n be 1*b*((6 - 0) + -7). Solve -2 + n = -4*q for q. -3 Let r = 11313 + -11159. Solve -15 = -r*f + 151*f for f. 5 Let a = 126 - 121. Suppose -3*z = -3*d, a*d - 27 = -5*z + 3. Solve -z*v = -8*v - 25 for v. -5 Suppose -5*u - 5*p = -16 - 29, 5*u + 5 = 5*p. Let g be (-2 + (3 - 3))/(u/(-12)). Solve 0 = -w + g - 5 for w. 1 Let m = -13837 - -13862. Solve 5*r - m = -35 for r. -2 Suppose -4*d + 72 = 3*v, -d + v = -238 + 227. Solve -203 = 14*l + d*l for l. -7 Let g = 49 - 95. Let f(u) = u**3 + 19*u**2 - 17*u + 11. Let n be f(-20). Let b = g - n. Solve b*w = 2*w for w. 0 Let z(q) = q**2 - 49*q + 105. Let y be z(49). Solve -29*c = -8*c + y for c. -5 Let x(l) = l**2 - 66*l + 248. Let w be x(62). Let s be (0 - 1) + 14 + -2. Suppose s*u + 21 - 120 = w. Solve 4*j + u = j for j. -3 Let u be ((5 - 9)*-8)/2. Solve 0 = -u*w + 101 - 149 for w. -3 Let b(y) = 3*y + 2. Let k(f) = -f - 1. Let g(o) = 3*b(o) + 8*k(o). Let d be g(6). Suppose -4*q + 2 = -14, -a + q = -8. Solve 0 = -d*v - 0 - a for v. -3 Let z = -209 + 107. Suppose -2*t + 420 = 4*j, -4*j + 0*t = 4*t - 420. Let f = j + z. Solve -f*a + 8 = -7 for a. 5 Suppose 8*y - 65 = -25. Suppose -q - 12 = -y*u, 2*q + 4*u = -q + 21. Let o(t) = -t**2 - 5*t + 6. Let c be o(-6). Solve -q*z - 3 - 3 = c for z. -2 Let o(b) = -b**2 + 22*b + 2. Suppose 6*i - 89 = 43. Let v be o(i). Let g be ((-15)/40)/((-4)/32). Solve g*y = v*y for y. 0 Suppose -16038 + 15838 = -10*m. Solve m*c - 12*c = -32 for c. -4 Let a = 821 + -797. Suppose 160 = a*j - 4*j. Solve 4 + j = -3*s for s. -4 Let s be (1 - -366) + 150/(-25). Let c = 363 - s. Solve 4*z + 10 = c*z for z. -5 Let p(v) = 204*v - 3003. Let g be p(15). Solve 8*t = -g + 25 for t. -4 Let r = -13 - -17. Suppose -54 = -r*q - 6. Let m(v) = 4*v + 4. Let p be m(-1). Solve p = 4*l + q - 4 for l. -2 Let h = -13403 + 13490. Solve 5*p - 47 = -h for p. -8 Let t be (((-1584)/6)/(-11))/2. Suppose n + 0 + 4 = 0. Let y = t + n. Solve 3*u = -u + y for u. 2 Let w = 45 - 42. Let d be (-528)/(-231) + 2/(-7). Let i(m) = -m**3 + 15*m**2 - 14*m + 5. Let s be i(14). Solve -d*a - w*a - s = 0 for a. -1 Let k(v) = -v**3 - v**2 + 8*v + 9. Let f be (-4 + 3 + 0)*4. Let u be k(f). Solve 4*w + 5 = u for w. 5 Let q be 322*(-21)/(-56) + (-9 - (-99)/12). Solve -79*m + q = -59*m for m. 6 Suppose -6*o + 76 = -38. Suppose o*x - 128 = 11*x. Suppose -x*s = -24*s. Solve s = -4*a + 5*a + 2 for a. -2 Let t = -16472 + 16475. Solve t*m = -m + m for m. 0 Let c be ((-5)/2)/(9/(-18)). Suppose -4*j + 2*t = -0*t - 2, c*t + 31 = -3*j. Let d be (-2 - j)/((-4)/4). Solve d = -4*o - 13 - 7 for o. -5 Let w(p) be the third derivative of -p**5/30 + 2*p**4/3 + 37*p**3/6 - 51*p**2. Let c be w(9). Solve 20*j - c*j - 3 = 0 for j. 3 Let i(x) = -x. Let q = -87 - -82. Let z(t) = -10*t + 49. Let h(d) = q*i(d) + z(d). Let c be h(9). Solve 0 = 2*a - c*a + 10 for a. 5 Let a(k) = -k**3 + 5*k**2 + 7*k + 10. Let u be a(7). Let c = -38 - u. Suppose -d + 0*f = f + c, 2*f - 2 = -4*d. Solve s = d - 4 for s. -2 Suppose 2*g = -3*r + 19, 3*r - g - 11 = g. Suppose -6 = -r*p - 11. Let k be p/3 + 325/75. Solve -k*u - u = -10 for u. 2 Suppose 11*t = t - 1610. Let s = 181 + t. Solve u - 6*u = -s for u. 4 Let r be (15 - 14)*(3/(-1))/(-1). Suppose 4*n + 64 = 3*p, -4*p - 3 = -4*n - 83. Solve q + p = -r*q for q. -4 Suppose 0 = -4*z - 5*z + 27. Let d(w) = -6*w - w**z - 6*w**2 - 8 + 14 - 7. Let u be d(-5). Solve 2*k + 0 = u for k. 2 Let z = 207 - -218. Let k = 425 - z. Solve -6*t + 1 + 11 = k for t. 2 Suppose -20*y + 25*y = 36*y + 44*y. Solve y = -19*z + 38*z + 19 for z. -1 Let n = -476 - -491. Suppose 3*w - 21 = -9. Solve w*h - n = -h for h. 3 Suppose -3*x + 90 = -3*g, -3*g - 3*x - x = 90. Let n be (-10 + 15 - 19/(-2))*-2. Let t = n - g. Solve 11 = 5*m + t for m. 2 Suppose -14*d = -13*d - 17. Suppose -24*t = -d*t - 21. Solve t*c + 2*c - 25 = 0 for c. 5 Let i be (-60)/(-8)*4/6. Suppose 2*s - s = -i*a + 48, 0 = 2*a - 8. Let u be ((-10)/(-3))/((s/6)/7). Solve -u*v + v = -20 for v. 5 Let g(f) = -43*f + 1337. Let n be g(31). Solve -u + n*u = -6 for u. -2 Let w be 19/1292*34 + 3/6*125. Solve -11*d - w = -2*d for d. -7 Let b(m) = m**3 - 94*m**2 + 1246*m + 159. Let s be b(78). Solve s*c + 14 = 10*c for c. 2 Suppose 0 = 3*w - 5*a - 8, 0 = -5*w + 2*a - a + 50. Suppose 0 = 2*h - 1 + w. Let o be (-148)/(-20) + 2/h. Solve -4*s = -o*s - 3 for s. -1 Suppose 310 + 404 = 7*t. Let v = 111 - t. Solve -6*q - 12 = -v*q for q. 4 Let u = 20007 + -20001. Solve u + 26 = 8*a for a. 4 Suppose 12*i - 4*r = 13*i - 18, -8 = -2*r. Suppose -i*f + 60 = 82*u - 78*u, -70 = -2*f - 2*u. Solve f = -8*t + 16 for t. -3 Suppose 6*h + 468 = 1554. Suppose 33*q - 50 = h. Solve 4*z = q*z - 9 for z. 3 Let g(v) = -5*v - 7. Let s be g(-1). Let q be (-237)/(-9) + -11 - s/3. Suppose 3*j = 3 + 3. Solve j*c - 6*c = q for c. -4 Suppose -16*d - 15 = -19*d. Suppose 3 = 3*w - 3, 5*w = -d*o + 60. Solve -15*z + 20*z = o for z. 2 Let j(i) = -i**3 - 8*i**2 - 13*i + 5. Let h be j(-6). Suppose -2*c + 0*f + f = -h, -4*c + 5*f = -19. Solve 0 = c*g + 4 - 10 for g. 1 Suppose 4*r - 223 = 4*z + 37, 0 = -2*r + 5*z + 115. Let l = 58 - r. Let b be (-12 - l)/((-1)/(1/2)). Solve 5*a - 2*a = b for a. 0 Let q be (-205)/(-30) - (678/36 - 18). Solve q*t = -91 + 79 for t. -2 Let x = -24 + 27. Suppose 0 = n - 5
{ "pile_set_name": "DM Mathematics" }
is the remainder when 698 is divided by 141? 134 Calculate the remainder when 700 is divided by 79. 68 What is the remainder when 784 is divided by 252? 28 What is the remainder when 268 is divided by 72? 52 Calculate the remainder when 259 is divided by 130. 129 What is the remainder when 261 is divided by 25? 11 Calculate the remainder when 1058 is divided by 14. 8 What is the remainder when 252 is divided by 8? 4 What is the remainder when 543 is divided by 21? 18 Calculate the remainder when 462 is divided by 114. 6 Calculate the remainder when 518 is divided by 5. 3 Calculate the remainder when 184 is divided by 22. 8 What is the remainder when 486 is divided by 136? 78 Calculate the remainder when 56 is divided by 19. 18 Calculate the remainder when 737 is divided by 95. 72 What is the remainder when 1342 is divided by 6? 4 Calculate the remainder when 527 is divided by 45. 32 Calculate the remainder when 6342 is divided by 69. 63 Calculate the remainder when 2203 is divided by 105. 103 What is the remainder when 1040 is divided by 58? 54 What is the remainder when 1379 is divided by 20? 19 Calculate the remainder when 1640 is divided by 86. 6 Calculate the remainder when 209 is divided by 43. 37 Calculate the remainder when 313 is divided by 17. 7 Calculate the remainder when 545 is divided by 91. 90 Calculate the remainder when 791 is divided by 53. 49 What is the remainder when 1223 is divided by 196? 47 Calculate the remainder when 106 is divided by 56. 50 Calculate the remainder when 140 is divided by 3. 2 What is the remainder when 1658 is divided by 17? 9 Calculate the remainder when 123 is divided by 6. 3 Calculate the remainder when 77 is divided by 20. 17 Calculate the remainder when 329 is divided by 36. 5 What is the remainder when 406 is divided by 123? 37 Calculate the remainder when 1104 is divided by 7. 5 Calculate the remainder when 119 is divided by 61. 58 What is the remainder when 231 is divided by 26? 23 Calculate the remainder when 2801 is divided by 74. 63 Calculate the remainder when 99 is divided by 20. 19 What is the remainder when 4455 is divided by 46? 39 Calculate the remainder when 64 is divided by 17. 13 Calculate the remainder when 1782 is divided by 85. 82 What is the remainder when 3417 is divided by 228? 225 What is the remainder when 182 is divided by 8? 6 What is the remainder when 520 is divided by 17? 10 What is the remainder when 8965 is divided by 38? 35 Calculate the remainder when 1331 is divided by 97. 70 What is the remainder when 426 is divided by 24? 18 What is the remainder when 5397 is divided by 1078? 7 Calculate the remainder when 488 is divided by 16. 8 Calculate the remainder when 101 is divided by 21. 17 Calculate the remainder when 251 is divided by 23. 21 Calculate the remainder when 3226 is divided by 215. 1 What is the remainder when 1398 is divided by 28? 26 What is the remainder when 331 is divided by 197? 134 What is the remainder when 1424 is divided by 25? 24 What is the remainder when 62 is divided by 6? 2 What is the remainder when 147 is divided by 10? 7 Calculate the remainder when 1586 is divided by 10. 6 What is the remainder when 130 is divided by 22? 20 Calculate the remainder when 720 is divided by 7. 6 What is the remainder when 1136 is divided by 96? 80 Calculate the remainder when 272 is divided by 89. 5 What is the remainder when 541 is divided by 26? 21 What is the remainder when 274 is divided by 10? 4 Calculate the remainder when 608 is divided by 47. 44 What is the remainder when 982 is divided by 953? 29 What is the remainder when 101 is divided by 3? 2 What is the remainder when 1076 is divided by 535? 6 What is the remainder when 5103 is divided by 11? 10 What is the remainder when 859 is divided by 123? 121 What is the remainder when 31 is divided by 12? 7 What is the remainder when 666 is divided by 28? 22 What is the remainder when 79 is divided by 45? 34 Calculate the remainder when 607 is divided by 43. 5 Calculate the remainder when 346 is divided by 24. 10 What is the remainder when 277 is divided by 9? 7 What is the remainder when 13 is divided by 8? 5 Calculate the remainder when 398 is divided by 21. 20 Calculate the remainder when 66 is divided by 10. 6 What is the remainder when 102 is divided by 55? 47 Calculate the remainder when 374 is divided by 367. 7 What is the remainder when 167 is divided by 35? 27 Calculate the remainder when 131 is divided by 61. 9 Calculate the remainder when 6415 is divided by 93. 91 Calculate the remainder when 84 is divided by 28. 0 What is the remainder when 18757 is divided by 354? 349 Calculate the remainder when 5207 is divided by 275. 257 Calculate the remainder when 648 is divided by 81. 0 Calculate the remainder when 789 is divided by 113. 111 What is the remainder when 1280 is divided by 633? 14 What is the remainder when 1151 is divided by 46? 1 What is the remainder when 769 is divided by 22? 21 What is the remainder when 634 is divided by 32? 26 What is the remainder when 331 is divided by 29? 12 Calculate the remainder when 1588 is divided by 18. 4 Calculate the remainder when 426 is divided by 7. 6 Calculate the remainder when 7628 is divided by 24. 20 What is the remainder when 312 is divided by 156? 0 What is the remainder when 971 is divided by 45? 26 What is the remainder when 58 is divided by 11? 3 What is the remainder when 522 is divided by 21? 18 Calculate the remainder when 349 is divided by 47. 20 Calculate the remainder when 560 is divided by 67. 24 Calculate the remainder when 73 is divided by 16. 9 Calculate the remainder when 4032 is divided by 17. 3 Calculate the remainder when 69 is divided by 35. 34 What is the remainder when 1657 is divided by 544? 25 Calculate the remainder when 78 is divided by 61. 17 What is the remainder when 5958 is divided by 19? 11 What is the remainder when 2263 is divided by 27? 22 Calculate the remainder when 149 is divided by 17. 13 Calculate the remainder when 123 is divided by 35. 18 Calculate the remainder when 129 is divided by 5. 4 What is the remainder when 249 is divided by 40? 9 Calculate the remainder when 988 is divided by 142. 136 What is the remainder when 183 is divided by 47? 42 Calculate the remainder when 442 is divided by 221. 0 What is the remainder when 232 is divided by 59? 55 Calculate the remainder when 156 is divided by 16. 12 What is the remainder when 443 is divided by 41? 33 What is the remainder when 6173 is divided by 98? 97 Calculate the remainder when 1719 is divided by 43. 42 What is the remainder when 963 is divided by 165? 138 Calculate the remainder when 1025 is divided by 197. 40 What is the remainder when 843 is divided by 43? 26 Calculate the remainder when 766 is divided by 48. 46 What is the remainder when 1577 is divided by 93? 89 Calculate the remainder when 370 is divided by 187. 183 Calculate the remainder when 28764 is divided by 129. 126 What is the remainder when 205 is divided by 62? 19 What is the remainder when 44 is divided by 32? 12 What is the remainder when 962 is divided by 18? 8 What is the remainder when 420 is divided by 209? 2 What is the remainder when 341 is divided by 86? 83 What is the remainder when 114 is divided by 9? 6 Calculate the remainder when 1160 is divided by 265. 100 Calculate the remainder when 64 is divided by 15. 4 Calculate the remainder when 146 is divided by 29. 1 Calculate the remainder when 211 is divided by 72. 67 Calculate the remainder when 19682 is divided by 76. 74 Calculate the remainder when 128 is divided by 4. 0 What is the remainder when 568 is divided by 180? 28 Calculate the remainder when 66 is divided by 14. 10 What is the remainder when 1267 is divided by 211? 1 What is the remainder when 490 is divided by 97? 5 Calculate the remainder when 68 is divided by 30. 8 Calculate the remainder when 1077 is divided by 24. 21 What is the remainder when 514 is divided by 509? 5 What is the remainder when 1476 is divided by 17? 14 What is the remainder when 939 is divided by 232? 11 Calculate the remainder when 1165 is divided by 234. 229 What is the remainder when 301 is divided by 73? 9 What is the remainder when 232 is divided by 40? 32 What is the remainder whe
{ "pile_set_name": "DM Mathematics" }
000. -16000 Let u(h) = -10*h + 14*h**2 + 21*h + 11 - 6*h. Let r be u(-9). What is r rounded to the nearest 100? 1100 Let q = 14.005 - 14. Let j = 21.995 + q. Let n = j + -21.9991. Round n to 3 dps. 0.001 Let z = 33.0856 - -0.2944. Let y = -33 + z. What is y rounded to one dp? 0.4 Let r = -0.18 - -9.18. Let p = r - 8.85. Let n = -0.14998 + p. Round n to 5 dps. 0.00002 Let u = -0.704997496 + 0.705. Round u to 6 decimal places. 0.000003 Let z = 66.421 - -6.427. Let o = 0.152 + z. Let f = 72.99943 - o. Round f to four decimal places. -0.0006 Let k = -3493 + 39293. What is k rounded to the nearest 1000? 36000 Let t(j) = 575*j**3 - 6*j**2 + 14*j - 68. Let r be t(6). Round r to the nearest ten thousand. 120000 Suppose -2*i - 3*g + 5*g - 50 = 0, -5*g + 50 = -2*i. Let s = i + 55. What is s rounded to the nearest one hundred? 0 Let i = -25 + 26.3. Let g = i - 0.4. Round g to the nearest integer. 1 Let r = -160.156 + 117.1341. Let h = 43 + r. Round h to 2 decimal places. -0.02 Let c = 2451.000003014 + -2451. Round c to six decimal places. 0.000003 Suppose 22*f - 13082511 - 10457489 = 0. Round f to the nearest 1000000. 1000000 Let d = -0.182188 + 0.1804. Round d to five dps. -0.00179 Let n = 8 - 7.72. Let k = -12.72 - n. Let m = k + 13.00026. What is m rounded to four dps? 0.0003 Let c = -19.32 + -3.08. What is c rounded to 0 decimal places? -22 Let v = 4.4 + 14. Let p = 1.02 - -12.08. Let k = p - v. Round k to the nearest integer. -5 Let v be 5*(-2 - 0)/(24/(-84)). Suppose -38*a + v*a - 3030000 = 0. What is a rounded to the nearest 100000? -1000000 Let g = -0.1 + 0.75. Let b = g + -11.85. Let t = b - -11.1917. Round t to three dps. -0.008 Suppose -3*b = 0, 2*y - 140 = -3*y - 2*b. Let v be (360/y)/((-2)/(-14)). Let w = v + -550. What is w rounded to the nearest one hundred? -500 Let v(z) = 17854*z**2 + 4*z + 3. Let j be v(-8). Let l = 1728367 - j. Let d = -114260 - l. What is d rounded to the nearest 100000? -700000 Let u = 1.78 + -2. Let h = u - -0.32. Let c = h - 0.09999981. What is c rounded to seven decimal places? 0.0000002 Let j = 122 + -127.08. Let g = -5 - j. What is g rounded to 1 decimal place? 0.1 Suppose u + 96 = 5*u - 3*h, h = u - 24. Let r = -22 + u. Suppose 5 = r*k - 9. Round k to the nearest integer. 7 Let n be 5 + (-223799964)/(-3) + 7. Round n to the nearest one million. 75000000 Let k = -21367231.4499957 + 21367141.45. Let a = -3 - 87. Let u = k - a. Round u to 6 dps. 0.000004 Let u = 628077 + -628074.889192. Let c = 2.11 - u. What is c rounded to 4 decimal places? -0.0008 Let f(u) = 1594*u**2 + 6*u + 4. Let a be f(-4). Let s(b) = -51*b**2 + 61*b - 22. Let h be s(-26). Let x = h + a. What is x rounded to the nearest 1000? -11000 Suppose -2*i + 2*t = -8, 0*i - 12 = -5*i + t. Let x be (-4220000)/i - (11 - 11). Round x to the nearest one hundred thousand. -2100000 Let y be 3/(30/(-4)) + (-32408)/(-20). Suppose -5*o - y = -2*a, -3*a - 5 = -4*a. Round o to the nearest 100. -300 Let n be (9 + -16)*(-4)/14. Let k be 30069650/(-4) - (-3)/n. Let i = k + -7682589. What is i rounded to the nearest 1000000? -15000000 Let g = 5208 - 5210.403. What is g rounded to one decimal place? -2.4 Let u = -1207 + 1206.97964. Round u to 4 dps. -0.0204 Let o(y) = -5257*y - 244*y - 3 - 3. Let i = 200 - 206. Let q be o(i). Round q to the nearest 10000. 30000 Let f(b) = -322490*b**2 - 48*b + 346. Let m be f(7). What is m rounded to the nearest one hundred thousand? -15800000 Let o(n) = -61111*n**2 + 2*n - 7. Let j(c) = c**2 - 13*c + 15. Let s be j(12). Let f be o(s). What is f rounded to the nearest 100000? -600000 Suppose 2*v + 32 = -2*v. Let y be v/(-60) + 20550002/(-15). What is y rounded to the nearest 100000? -1400000 Let d = -42.01 + 39.4. Let n = 0.21 + d. Round n to zero dps. -2 Let x = -1.21 - -0.7. Let z = 2.39 - x. Let r = 0.9 + z. What is r rounded to 0 decimal places? 4 Let y = 6674355 - 3434464. Let q = y - 6939891. Round q to the nearest 1000000. -4000000 Let w(m) = -7*m + 2. Let k be w(-1). Let g(f) = f**2 + 19*f + 2. Let a be g(k). What is a rounded to the nearest 10? 250 Let l = -149342 + 149344.79282. Let d = l - 2.79. Round d to four dps. 0.0028 Let l = -19.1 + 16.96. What is l rounded to one decimal place? -2.1 Let s(q) = -3*q - 4. Suppose 3*n + 1 + 2 = 4*h, -2*n - 6 = -4*h. Suppose 2*l + 4 = -2*d, 3*d + 0*l - h*l + 12 = 0. Let m be s(d). Round m to the nearest 10. 10 Suppose -s - 240547 = -0*n - 2*n, 5*n - 601387 = -4*s. Let z = n - -222725. What is z rounded to the nearest one hundred thousand? 300000 Let b be 4 - 59/((2 - 1)*1). Let q be ((-405)/(-3) + -3)/((-2)/b). Round q to the nearest 100. 3600 Let f = 27418210 + -49511029. Let s be (46478457/(2 + 1))/(-1). Let u = s - f. What is u rounded to the nearest 1000000? 7000000 Let u = -110.01 - -31.57. Round u to the nearest ten. -80 Let x = -55.22472 + 55.2. What is x rounded to three decimal places? -0.025 Let d = -0.871 + 0.87093169. What is d rounded to 6 dps? -0.000068 Let v = 727097925.313746757 + -727097925. Let z = 11.586255523 + v. Let r = 11.9 - z. Round r to 7 decimal places. -0.0000023 Suppose -3*u = -4*u + q + 487, -2*u + 4*q + 966 = 0. Suppose g + 126 = u. What is g rounded to the nearest 10? 370 Let j = -511 + 92. Let f = 419.00000594 + j. What is f rounded to seven decimal places? 0.0000059 Suppose 0 = -5*s - 3*m + 2001 + 1913, -3*s = 4*m - 2344. Round s to the nearest 100. 800 Let v = 11674 + -19856. Let g = -8181.92038 - v. Let x = 0.08 - g. What is x rounded to 4 dps? 0.0004 Let s = 1361.01162 - 1361. What is s rounded to four dps? 0.0116 Let h = 1120364 + -1120221.9943. Let l = h - 142. What is l rounded to 3 dps? 0.006 Let z = -38052 - -38048.8006. Let y = 14.2 - 11. Let m = y + z. What is m rounded to 3 decimal places? 0.001 Let w = 0.29 - 65.29. Let n = -65.0046 - w. Round n to 3 decimal places. -0.005 Let u = -0.8934 + 0.85. What is u rounded to two decimal places? -0.04 Let d = -5586830383 - -5586826712.6250024. Let q = 3651.375 + d. Let n = 19 + q. What is n rounded to six dps? 0.000002 Let b = -14787.102928 - 8542759986.897072. Let y = -8542775278.9999783 - b. Let f = 505 + y. What is f rounded to six decimal places? 0.000022 Suppose 5*r = 5*k + 615, -k + 363 = -4*k + r. Let w be 350*25*k/(-14). Let h be 64/((26/w)/13). What is h rounded to the nearest 1000000? 2000000 Let r = 230324140.3 - 230324045.3000043. Let c = 97 + -2. Let z = r - c. What is z rounded to six dps? -0.000004 Suppose -2*g - 22995 = -7*g. Let b(m) = -g*m**2 + 3390*m**2 - 7763*m**2 - 3228*m**2. Let n be b(-1). What is n rounded to the nearest one thousand? -12000 Let y = 26 + -26. Suppose 2*j - 5*i = -416025, -2*j = -y*j - 2*i + 416010. What is j rounded to the nearest 10000? -210000 Let o = 172601708.19 + -3804570.19. Let m = 168797121.9000173 - o. Let u = m - -16.1. What is u rounded to six decimal places? 0.000017 Let w(d) = -218*d - 2. Let p be w(-1). Let u = -59 + p. Suppose -4*r + 757 - u = 0. Round r to the nearest ten. 150 Let x = -9.9 + -33.1. Let y = -38.4 - x. Let k = y + -4.60000019. What is k rounded to seven decimal places? -0.0000002 Let w(p) = -1914300*p**3 + 4*p**2 - 16*p + 12. Let m be w(1). Round m to the nearest 10000. -1910000 Let o = -1106.1 + 1234. Let a = 120 - o. What is a rounded to zero dps? -8 Let p = 5.38 - 3.79. Let c = p - -36.91. What is c rounded to the nearest 10? 40 Let t = -1.1685 - -2.366. What is t rounded to one decimal place? 1.2 Let z = 742 + 469. Let p be (6 - z)/((-2)/6). Suppose -3 = n, -c - n - 4*n = p. What is c rounded to the nearest 1000? -4000 Let m = -222 - -11672. Suppose -3*i - m = 17350. Round i to the nearest one thousand. -10000 Let r = -0.882 + 0.88200202. What is r rounded to 6 decimal places? 0.000002 Let u = 18 - 19.2. Let i = -1.2083 - u. Round i to three decimal places. -0.008 Let r = -162.6 - -147. Let q = -1.6 - r. Let z = q + -14.00000024. What is z rounded to seven decimal places? -0.0000002 Let r = -9 + -2. Let c = r - -11.13. Let p = -0.19 + c. Round p to 2 dps. -0.06 Let a = -8.047 + 11.398. What is a rounded to 1 decimal place? 3.4 Let q = -3727.98501 - -3728. Round q to four dps. 0.015 Let f = 12 - 12.4. Let p = f - -0.3999973. Round p to six dps. -0.000003 Suppose 32*v - 15*v - 844900 = 0. Round v to the nearest 10000. 5000
{ "pile_set_name": "DM Mathematics" }
et b be w(0). Suppose 4*l - 3 = -u, -3*u + 5*u + 7 = 5*l. Let k be 1 - (0 + u + 2). Solve -i + b*i + 5 = k for i. 5 Suppose c + 4*q - 16 = -3*c, 0 = -4*q + 8. Suppose -2 = -x + 2*g, -c*x - 2 = -2*g - 4. Solve 10 = -x*a + 2*a for a. 5 Let s = 68 - 68. Solve 0 = -j - 4 - s for j. -4 Suppose 4*c - 5*z - 44 = 0, -3*c + 2 = z + 3*z. Solve -c*p + p = -5 for p. 1 Let d = -1 - -5. Solve -d*v + 10 = -2*v for v. 5 Let d = 12 + -2. Suppose 0 = 5*n + 6 + 24. Let o = d + n. Solve -b = -0*b + o for b. -4 Let c(w) = -2*w + 8. Let d be c(3). Suppose b + d = 2*b. Solve t = b*t for t. 0 Suppose -8*a + 3*a = 0. Suppose 3*l + 44 = 7*l + 5*j, -5*j = -20. Solve a = -l*r + 2*r - 4 for r. -1 Suppose 5*w + 23 = -3*q + 9, 6 = -3*q - 3*w. Solve q*x = -0*x - 10 for x. -5 Let i(w) = w - 8. Let r be i(12). Let z be r + (-1)/(1 + -2). Solve 0 = -z*t + 2*t - 12 for t. -4 Suppose -3*y + 9 = -3*r, 5*y - 23 = r - 0*r. Suppose -r*z + 10 = -10. Solve -6 = -4*t + z for t. 4 Suppose -4*x = -2*x - 4. Let r be (-6)/((45/6)/(-5)). Let f be (-7)/28 + 61/r. Solve -x*p + f = p for p. 5 Let n(x) = x**3 - 5*x**2 - 6*x + 2. Let o be n(6). Suppose 0 = o*v - 7*v. Let q = -6 + 26. Solve 4*i + v*i = q for i. 5 Let z = 7 + -4. Solve -2*f - 5 = z*f for f. -1 Let n = -10 + 7. Let m be ((-1)/(-2))/(n/(-30)). Solve -m*f - 12 = -37 for f. 5 Let b be 10/3*(-9)/(-5). Solve 11*p = b*p for p. 0 Let c(q) = 3*q**2 - 2*q + 1. Let g(f) be the first derivative of f**2/2 - 5*f + 3. Let t be g(6). Let x be c(t). Solve -x*m + 4 = -m for m. 4 Let c(m) = m**2 - m - 4. Let n(p) = p**3 + 9*p**2 - p - 6. Let l be n(-9). Let g be c(l). Solve 3*d + 5 = g*d for d. -5 Let g be -32 + -2 + -3 + 3. Let s = -9 - g. Solve s = 4*d + d for d. 5 Suppose -2*n - 16 = -4*l, -n + 5*l - l - 16 = 0. Suppose n = -3*j - 12, -4*j - 13 = -4*y + 5*y. Suppose -5*m + 6 = -y*m. Solve 0*h + h = -m for h. -3 Suppose 0 = 2*l + 3*l + 5*k, 2*k = -4*l. Solve -c + 2*c - 3 = l for c. 3 Let b(t) = t**3 + 7*t**2 - 9*t + 2. Let l be 16/(-36)*-6*-3. Let c be b(l). Solve -q + c = q for q. 5 Let i(r) = -2*r + 12. Let m be i(6). Suppose m = 5*p - 7 - 3. Solve p*q = -q for q. 0 Let k(h) = h + 9. Let q be k(-7). Solve 2*d = 3*d + q for d. -2 Let k(u) = 4*u**3 + 1. Let b be k(1). Suppose 7*y = 5*y. Suppose y = i - b. Solve 2*w - i*w = 0 for w. 0 Let a be (-4 - -14)*3/2. Let o be -15*(-2 + a/9). Suppose 3*h = -0*h. Solve -o*t = -h*t + 15 for t. -3 Let m(h) = -h + h - h - 7 + 0*h. Let d be m(-7). Solve d = -3*l + 6*l for l. 0 Suppose 11 = 3*c + 3*h + h, 2*h + 17 = 3*c. Solve 3*o = c*o + 2 for o. -1 Let z(i) = i - 7. Suppose 0 = -k + 4*k - 27. Let f be z(k). Solve -12 = -f*y - y for y. 4 Let r = 6 + -16. Let i = r - -15. Solve 0*o - 15 = i*o for o. -3 Let j = -149 - -180. Solve 5*x - j = -26 for x. 1 Let b(n) be the first derivative of -n**3/3 + 5*n**2/2 + 2. Let o = -1 - -5. Let g be b(o). Solve r + 0 = g for r. 4 Suppose 3*p - p = -3*k + 14, 0 = -3*p + 3*k - 9. Suppose 4*l + 4 = 5*w - 13, 3*l - 16 = -2*w. Let t = 11 - 10. Solve l*j + p = -t for j. -1 Let r = 3 - 2. Let b be (0 - -1)*-1*r. Let x(c) = c**3 - c. Let m be x(b). Solve -15 + m = -5*v for v. 3 Suppose 45 = 11*w - 8*w. Suppose 2*m + 3*d = 25, m - 6*d + 2*d = -w. Solve 11 + 4 = -m*c for c. -3 Suppose 0 = -5*k - 5, -4*k = z - 0 + 2. Solve 0*g - 4 = z*g for g. -2 Suppose -8*j + j = -140. Solve -k - 4*k + j = 0 for k. 4 Let q(y) = -y + 10. Let d be q(6). Suppose 10 = f + f + d*z, 10 = 2*f - z. Solve 5*u - 5 = f for u. 2 Let o(r) = r + 3 - r + 2*r**2 - 4*r + 2*r**2. Let k be o(2). Suppose k = 2*j - 5. Solve -3*l - j = -l for l. -4 Let p(h) = h**2 + h - 1. Let k be p(-2). Let y(a) = 5*a**2. Let x be y(k). Suppose -x*t = n - 5, 3*t + 4*n + 23 = 9. Solve b = -0*b - t for b. -2 Let r be (-1)/2*(-3 - -3). Let l = 8 - 6. Suppose r = -l*a - 4*x - 16, 5*x - 4 = -3*a - 24. Solve a*v - 5*v + 25 = 0 for v. 5 Suppose 0 = -4*t - 7 + 15. Suppose 0*p = -p + 3, 4*p - 24 = -4*r. Solve z + t*z = r for z. 1 Let x = 1 + 3. Suppose -4 = 4*h + x. Let v be 1 + 0 + h - -3. Solve -v*t + 3 = t for t. 1 Suppose 55 = 7*u - 1. Solve u = 4*k - 0 for k. 2 Let w(u) be the first derivative of u**4/4 + 2*u**3 + 2*u**2 - u + 1. Let h be w(-5). Solve j = h*j - 12 for j. 4 Suppose -2*r - 4 = -4*r. Suppose -r*f = 2*f - 12. Solve -f*v = 1 + 5 for v. -2 Let s be (4/5)/(1/5). Suppose -r = 5*l - 7, 2*l + 4*r = 7*r + 13. Solve 0 = s*p - l*p + 6 for p. -3 Let x(m) = m**3 - 5*m**2 + 7*m - 6. Let c be x(4). Let b(v) = v**3 + 10*v**2 + 10. Let r be b(-10). Solve -i + r = -c*i for i. -2 Let o be ((-112)/(-12))/(2/6). Suppose -h - 17 = -3*k, -4*k + 8*h + o = 4*h. Let b be 0/(4/2)*1. Solve b = k*c + 12 + 13 for c. -5 Suppose p - 9 + 0 = 0. Let b(n) = n**3 - 10*n**2 + 10*n - 5. Let a be b(p). Suppose -2*o - 2*o + 2*g - 8 = 0, 20 = -2*o + 5*g. Solve o = -3*m - 2 - a for m. -2 Suppose -t - 80 = -3*t. Suppose -3*p = 4 - 13. Suppose 5*v + t = 5*y, 0*y - 4*y + 11 = p*v. Solve 5*h = y + 15 for h. 4 Let p = 9 - 9. Solve p*f - f - 3 = 0 for f. -3 Let f(s) = s**3 + 5*s**2 + 1. Let d be f(-5). Let t be (2 - d)*9 - 1. Let k = 21 - 16. Solve k*a + 2 = -t for a. -2 Let s(l) = -l**2 - 9*l + 6. Let d be s(-9). Solve d*v = 3*v for v. 0 Let o(s) = -7*s + 14. Let q be o(1). Solve 3*l - q = 8 for l. 5 Suppose -2*o = -2 - 14. Solve 5*a - a = -o for a. -2 Let f = 4 + -4. Suppose f*x + 12 = 3*x. Suppose -3*n = -x - 14. Solve -d = d + n for d. -3 Let w(q) = 3 - 1 + 0 + 3*q - 4*q. Let v be w(2). Solve v*c = 5*c + 15 for c. -3 Let b(n) = 2*n - 2. Let x be b(1). Solve -2*i + x*i - 10 = 0 for i. -5 Let l(b) = -b**2 + b - 3. Let o be l(4). Let x be (-1)/(2 + 33/o). Solve 0 = x*t - 22 - 3 for t. 5 Suppose -2*b + 0*t - 17 = -t, 2*t = b + 16. Let a(l) = -l - 1. Let x be a(b). Solve 0 = 3*g - 20 + x for g. 5 Suppose -5*d - 26 = -u, 0*u = 2*d - 3*u. Let z = d + 0. Let r be ((-6)/(-5))/(z/(-40)). Solve 2*h - 6*h = -r for h. 2 Suppose 60 = 5*m + r + 17, -m - 4*r + 1 = 0. Suppose m = 3*i + 3. Solve -i*w - 4 = 6 for w. -5 Suppose -3*h = -2*h - 10. Solve -1 = 3*u - h for u. 3 Let r(y) = y**3 + 7*y**2 + 5*y - 6. Let f be r(-6). Let a = 5 + -8. Let x = a - -5. Solve -b + x*b + 1 = f for b. -1 Suppose -5*s = -0*s + 10. Let j be (-2)/(s + 1)*1. Solve b - j = 2 for b. 4 Let w = 0 - -3. Let n be w*(-2)/(-3) + 0. Solve 0 = -2*i - n*i - 8 for i. -2 Suppose -15 = -3*t - 0*t - 3*p, -3*t = -p - 3. Solve 2*d = -t*d for d. 0 Let d = -141 + 141. Let z(v) = v - 5. Let i = -7 - -12. Let b be z(i). Solve d*u + u + 2 = b for u. -2 Let q = 9 + -5. Solve -5*g = -q*g - 3 for g. 3 Suppose 3*x - 67 = 2*u + 19, -5*u + 130 = 4*x. Suppose -3*k + x = 2*k. Solve d = k*d + 10 for d. -2 Suppose -2*x + 24 = 2*r, 0*x = -x + 2*r. Solve i = 5*i + x for i. -2 Let k = -3 + -7. Let s be k/(-4)*4/2. Suppose 0 = 4*q - 3*q - 4, -3*f - s*q + 29 = 0. Solve 0 = m + f*m + 20 for m. -5 Let y(i) = 6*i**2 - 1. Let r be y(1). Solve 17 + 3 = -r*f for f. -4 Suppose 0 = -i + 2*x, -4*i - 7 = 2*x - 37. Solve -2 + i = 4*w for w. 1 Suppose 3*o + 0*w = 3*w + 15, -5*w + 5 = 0. Let j be 36/6 - o/2. Solve -j*u + 2*u = 0 for u. 0 Let v be (-39)/(-9) + (-4)/(-6). Suppose 0 = 3*q - v - 4. Suppose 7*i + 2*p - 10 = q*i, 3*p - 11 = -4*i. Solve -6 + i = -2*n for n. 2 Let l be (-6)/(-21) - 194/(-7). Solve 8 - l = -5*o for o. 4 Let a(w) = 2*w**2 - w - 10. Let j be a(3). Solve 6*s = 5*s + j for s. 5 Suppose -5*q = -4*q - 1. Let v = 1 + q. Suppose v*c + 12 = 7*c - 2*j, -5*c - j + 24 = 0. Solve -1 = -c*m + 3 for m. 1 Let b(w) = w**3 + 7*w**2 + w + 7. Let o(c) = -2*c**3 + c**2 + 4*c - 3. Let l be o(2). Let d be b(l). Let y be (6 - 2 - 2) + d. Solve 4 = -y*v - 0 for v. -2 Suppose 0 = 2*f - 7*f - 2*k + 30, -3*f = 2*k - 14. Solve 3*l + 1 + f = 0 for l. -3 Let v = -136 + 140. Solve -2*u = -u + v for u. -4 Let f be (-1)/(20/18 - 1). Let w be (24/f)/(2/(-3)). Solve 0 = b - w*b for b. 0 Let f(q) = -6*q**2 + 3*q + 3. Let l be f(-2). Let y be 4/(-18) - 438/l. Solve -4 - y = 4*n for n. -5 Suppose 4*k - 9 = c + 8, 5*k + c - 10 = 0. Suppose 2*q + 4 = 2*n, 0 = 4*n - 6*n. Let z be (q + k)*0/2. Solve -5*u + z = 10 for u. -2 Let t = 7 - 6. Suppose -10 + 0 = -2*o - 2*m, 3*o - 4*m - t = 0. Suppose o*k = 9 + 3. Solve -c = 3*c - k for c. 1 Suppose 0 = 2*a + 3*n + 2, 4*n + 15 = a + 5. Let g(l) = -l**a + 8*l + 2 + 0 + 0. Let b be g(8). Solve -3*v + b*v = 1 for v. -1 Let j(f) = f**3
{ "pile_set_name": "DM Mathematics" }
he square root of 416 to the nearest integer? 20 What is 851 to the power of 1/3, to the nearest integer? 9 What is the square root of 6673 to the nearest integer? 82 What is 58919 to the power of 1/2, to the nearest integer? 243 What is the square root of 726 to the nearest integer? 27 What is the eighth root of 19939 to the nearest integer? 3 What is the fifth root of 1228 to the nearest integer? 4 What is 22571 to the power of 1/3, to the nearest integer? 28 What is the square root of 12284 to the nearest integer? 111 What is the square root of 9552 to the nearest integer? 98 What is the square root of 1563 to the nearest integer? 40 What is the cube root of 6297 to the nearest integer? 18 What is 116 to the power of 1/2, to the nearest integer? 11 What is the square root of 1705 to the nearest integer? 41 What is 37888 to the power of 1/2, to the nearest integer? 195 What is the eighth root of 15344 to the nearest integer? 3 What is the third root of 212 to the nearest integer? 6 What is the fifth root of 1948 to the nearest integer? 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253 What is the square root of 60007 to the nearest integer? 245 What is the cube root of 1390 to the nearest integer? 11 What is 9533 to the power of 1/3, to the nearest integer? 21 What is 1366 to the power of 1/3, to the nearest integer? 11 What is 515 to the power of 1/4, to the nearest integer? 5 What is the square root of 12109 to the nearest integer? 110 What is 2105 to the power of 1/2, to the nearest integer? 46 What is the ninth root of 39794 to the nearest integer? 3 What is the third root of 1017 to the nearest integer? 10 What is the eighth root of 1395 to the nearest integer? 2 What is the sixth root of 14815 to the nearest integer? 5 What is the cube root of 81935 to the nearest integer? 43 What is the eighth root of 12810 to the nearest integer? 3 What is the tenth root of 78204 to the nearest integer? 3 What is the fourth root of 49924 to the nearest integer? 15 What is the square root of 12055 to the nearest integer? 110 What is 7517 to the power of 1/10, to the nearest integer? 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167 What is 3425 to the power of 1/2, to the nearest integer? 59 What is 1381 to the power of 1/9, to the nearest integer? 2 What is the cube root of 16571 to the nearest integer? 25 What is 4129 to the power of 1/2, to the nearest integer? 64 What is 1579 to the power of 1/9, to the nearest integer? 2 What is 17614 to the power of 1/9, to the nearest integer? 3 What is the cube root of 2 to the nearest integer? 1 What is 161568 to the power of 1/7, to the nearest integer? 6 What is the third root of 5879 to the nearest integer? 18 What is the third root of 12251 to the nearest integer? 23 What is the cube root of 10230 to the nearest integer? 22 What is the sixth root of 741 to the nearest integer? 3 What is the square root of 1468 to the nearest integer? 38 What is the tenth root of 2281 to the nearest integer? 2 What is 6743 to the power of 1/8, to the nearest integer? 3 What is 5216 to the power of 1/2, to the nearest integer? 72 What is 915 to the power of 1/2, to the nearest integer? 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10 What is 1012 to the power of 1/2, to the nearest integer? 32 What is the cube root of 72692 to the nearest integer? 42 What is the fourth root of 1279 to the nearest integer? 6 What is the square root of 4224 to the nearest integer? 65 What is 86 to the power of 1/10, to the nearest integer? 2 What is the cube root of 876 to the nearest integer? 10 What is 5072 to the power of 1/5, to the nearest integer? 6 What is the eighth root of 1272 to the nearest integer? 2 What is the third root of 6403 to the nearest integer? 19 What is 5725 to the power of 1/2, to the nearest integer? 76 What is 17499 to the power of 1/2, to the nearest integer? 132 What is the square root of 241 to the nearest integer? 16 What is 1680 to the power of 1/8, to the nearest integer? 3 What is 16333 to the power of 1/2, to the nearest integer? 128 What is 4238 to the power of 1/2, to the nearest integer? 65 What is 3 to the power of 1/6, to the nearest integer? 1 What is 1594 to the power of 1/9, to the nearest integer? 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53 What is 20693 to th
{ "pile_set_name": "DM Mathematics" }
Determine k(d(b)). -4*b Let q(w) = -2*w**2. Let b(s) be the third derivative of 19/24*s**4 + 0 + 0*s + 1/6*s**3 + 68*s**2. Give q(b(p)). -722*p**2 - 76*p - 2 Let w(d) = 79*d. Let l(x) = -6*x**2 + 1794*x + 2. What is l(w(i))? -37446*i**2 + 141726*i + 2 Let b(h) = 37376*h. Let r(w) = 1853*w. Give r(b(z)). 69257728*z Let u(b) be the second derivative of -118*b**3/3 - 151*b - 1. Let c(w) = -7478*w + 2*w**2 + 7478*w. Give u(c(q)). -472*q**2 Let m(l) = 234 + 234 + 235 + l - 703. Let v(j) = -147*j - 22. Give m(v(x)). -147*x - 22 Let a(r) = -803*r**2 - 803*r**2 - 809*r**2 + 3228*r**2 - 812*r**2. Let m(t) = -14*t**2 - 14*t**2 + 2*t**2. Calculate m(a(w)). -26*w**4 Let w(m) = -5*m**2. Let y = -66 + 101. Suppose -6 = 2*z - 2*b, -5 = -5*z - 3*b + 4*b. Let p(r) = -72*r**2 + y*r**z + 36*r**2. Calculate w(p(u)). -5*u**4 Let v(u) = u**2. Let y(f) = 62*f - 130*f + 10 - 1 + 50*f. Calculate v(y(r)). 324*r**2 - 324*r + 81 Let h(g) = 18820*g. Let l(x) = -3659*x. Calculate h(l(f)). -68862380*f Let p(c) = 1307379 - 653685 - 653694 - 2*c**2. Let z(n) = -n**2 + 3*n + 2. Let q be z(3). Let d(l) = 2*l**q - 2*l**2 - 3*l**2. Give d(p(j)). -12*j**4 Let j(g) be the third derivative of g**5/20 - 12327*g**2. Let f(u) = 2*u**2 + 3*u + 17. Give f(j(v)). 18*v**4 + 9*v**2 + 17 Let x(u) = -13*u**2 - 7. Let n(v) = -61*v + 6. Let d(j) = -77*j + 8. Let f(w) = 3*d(w) - 4*n(w). What is f(x(t))? -169*t**2 - 91 Let x(t) = -69*t - 46*t + 118*t. Let s(v) = -20*v - 12. Give x(s(z)). -60*z - 36 Let o(v) = -82950*v**2 - 9*v. Let i(t) = 21*t. Give i(o(j)). -1741950*j**2 - 189*j Let h(t) = t - 18914. Let o(x) = -2*x**2 - 50. Determine o(h(r)). -2*r**2 + 75656*r - 715478842 Let h(g) = 31*g**2 + 250. Let t(y) = 4462*y**2. What is h(t(z))? 617192764*z**4 + 250 Let v(h) be the third derivative of 0*h**3 + 0*h**4 - 167*h**2 + 1/30*h**5 + 0 + 0*h. Let u(d) = 35*d**2. Determine u(v(t)). 140*t**4 Let z(n) = 37*n + 32. Suppose 18*p + 3*p + 126 = 0. Let s(f) = 20*f + 17. Let u(t) = p*z(t) + 11*s(t). Let g(j) = 3*j**2. What is g(u(m))? 12*m**2 + 60*m + 75 Let q(g) = 2*g. Let b(p) be the first derivative of -53*p**3/3 + p - 387. Give b(q(v)). -212*v**2 + 1 Let a(y) = 1332*y + 1630*y - 4284*y + 1322*y + y**2. Let l(n) = 57*n**2 + 4. Let o(t) = 115*t**2 + 7. Let u(f) = 7*l(f) - 4*o(f). Determine u(a(c)). -61*c**4 Let m(o) = o**2. Let p(k) = -2223650563*k. Determine m(p(f)). 4944621826330216969*f**2 Let l(a) = -16*a + 6. Let y(z) = 53*z - 20. Let m(o) = 10*l(o) + 3*y(o). Let f(i) = -1205*i. What is m(f(s))? 1205*s Let r(o) = 970*o + 1. Let y(m) = 29905*m. Calculate y(r(d)). 29007850*d + 29905 Let b(n) = -2*n**2 - 8*n - 144. Let x(v) = -667*v. Give b(x(l)). -889778*l**2 + 5336*l - 144 Let d(m) = 7*m. Suppose 5*r - 4*y - 20 = 0, -5*r + 4 = y - 16. Let o(q) = -r - 4 - 1 + 7 + 1 + 2*q. Give o(d(j)). 14*j - 1 Let h(s) = 2*s. Let a(r) = 9*r + 2. Let w(c) = 29*c - 2362. Let i(l) = 3*a(l) - w(l). Determine i(h(v)). -4*v + 2368 Let m(l) = -72 - 11*l**2 - 69 + 141. Let h(u) = 60*u**2. Let b(j) = -2*j**2. Let s(d) = 66*b(d) + 2*h(d). Give s(m(z)). -1452*z**4 Let n(q) be the first derivative of q**6/24 + 25*q**3/3 - q + 135. Let f(p) be the third derivative of n(p). Let a(t) = 7*t**2. Calculate a(f(w)). 1575*w**4 Let o(v) = -4*v + 3. Suppose 0 = y - 0*y - 3. Let m(t) = 1. Let r(h) = y*m(h) - o(h). Let w(c) be the first derivative of 2*c**2 + 974. Give r(w(z)). 16*z Let p(z) = 4605*z. Let g(l) = -7*l - 1. Let q(w) = 2*w**2 - 56*w - 8. Let s(b) = 8*g(b) - q(b). Determine s(p(f)). -42412050*f**2 Let u(n) be the third derivative of -n**6/60 - 5*n**4/8 - n**3/6 + 5*n**2 - 2. Let d(z) be the second derivative of u(z). Let g(p) = -p. Determine g(d(w)). 12*w Let j(s) = -9*s**2 + 2*s. Let i(u) be the second derivative of -u**7/630 + 9*u**4 + 6*u - 16. Let m(g) be the third derivative of i(g). Determine m(j(r)). -324*r**4 + 144*r**3 - 16*r**2 Let q(j) = -7*j**2 + 477694 - 477694. Let o(m) = 186*m**2. What is q(o(c))? -242172*c**4 Let f(u) = -u**2. Let a be 198/16 - (-36)/(-96). Let k = 0 + a. Let g(b) = -k*b + 3 - 12*b + 8*b. Determine f(g(q)). -256*q**2 + 96*q - 9 Let p(d) be the second derivative of -d**3/6 - 5*d + 27. Let w(z) = 2*z**2 - 200*z. What is w(p(l))? 2*l**2 + 200*l Suppose 2*w - 16 = -2*f, 0 = -5*w - 4*f - 55 + 92. Let o(u) = 51*u + 5 - w - 51*u - u**2. Let a(i) = 2*i**2 + 5*i. Give a(o(x)). 2*x**4 - 5*x**2 Let x(l) = 3*l - 92290. Let t(b) = 8*b. What is t(x(n))? 24*n - 738320 Let n(o) = -7*o**2 + 1. Let g = 170 - 166. Let b(q) = -8*q - 12*q + 23*q - g*q. Determine n(b(l)). -7*l**2 + 1 Let p(r) = -r**2 - 1. Let x(b) = 79*b**2 - 2. Let k(m) = 2*p(m) - x(m). Let s(u) be the first derivative of 2*u**3/3 + 57. Calculate k(s(t)). -324*t**4 Let n(o) = -457*o - 2. Let d(q) = 4590*q**2 - 18367*q**2 + 4595*q**2 + 4591*q**2 + 4593*q**2. Give d(n(x)). 417698*x**2 + 3656*x + 8 Let t(h) = 69457792*h. Let l(o) = -2*o**2. Determine t(l(d)). -138915584*d**2 Let k(t) = -13*t**2 + 63968*t + 1. Let c(r) = -11*r. What is c(k(b))? 143*b**2 - 703648*b - 11 Let j be (4/18)/1 + 16/9. Let x(f) = 123*f**2 - 247*f**j + 121*f**2. Let c(l) be the first derivative of 2*l**2 + 1. Calculate x(c(v)). -48*v**2 Let w be 9*((1 - -4) + (-344)/72). Let q(a) = 29*a + 85*a**w + 35*a**2 - 42*a - 2 + 13*a. Let h(y) = 2*y**2. Give h(q(n)). 28800*n**4 - 960*n**2 + 8 Let i(d) = -8*d - 3682. Let o(a) = 45*a. Give o(i(t)). -360*t - 165690 Let m(u) = -12*u - 12. Let z(t) = 14*t + 9. Let o(b) = 3*m(b) + 4*z(b). Let n(r) = -5 + 6*r + 5 - 16*r. Give n(o(h)). -200*h Let i(q) = q. Let p(b) = 6*b**2 - 437*b - 17. Let y(j) = 2*j**2 - 146*j - 6. Let w(s) = 6*p(s) - 17*y(s). Determine w(i(o)). 2*o**2 - 140*o Let q(d) = 15*d**2. Let p(n) = -27*n - 33*n + 89*n - 29*n - 178*n**2. Determine p(q(u)). -40050*u**4 Let z(i) = -36288915*i. Let t(a) = -8*a**2. What is t(z(g))? -10535082815017800*g**2 Let q(z) = -22754*z. Let w(b) = -351*b. Give w(q(v)). 7986654*v Let w(v) be the first derivative of 1181*v**3/3 - 1491. Let m(j) = -3*j. What is m(w(q))? -3543*q**2 Let x(f) be the third derivative of f**5/20 + f**2 - 661*f. Let b(w) = 7275*w. Determine b(x(p)). 21825*p**2 Let d(j) = -5*j**2 - 50*j. Let r(y) = -30060*y. Give r(d(k)). 150300*k**2 + 1503000*k Let b(q) = 40*q + 1. Let i(p) = -11847*p**2 - 2*p. Determine b(i(o)). -473880*o**2 - 80*o + 1 Let o(t) = 289*t**2 + 5*t - 1. Let x(p) = -13*p + 4. Let a(b) = -7*b + 2. Let g(j) = 2*a(j) - x(j). Determine o(g(n)). 289*n**2 - 5*n - 1 Let h(k) be the second derivative of 0*k**3 + 0 + 0*k**2 + 260*k + 1/12*k**4. Let s(y) = 6*y**2 - 11. Calculate s(h(a)). 6*a**4 - 11 Let v(u) = -2*u + 2. Let b(y) be the first derivative of -5*y**3 + 1834. What is b(v(g))? -60*g**2 + 120*g - 60 Let t(k) = 2*k**2. Let q(g) = 5*g**2 + 54 - 205 + 3*g**2 + 44. Give q(t(a)). 32*a**4 - 107 Let i(a) = -1083*a - 1081*a - 1081*a + 4322*a - 1078*a. Let p = -2 - -5. Let k(g) = -35*g - p + 3. Determine k(i(f)). 35*f Let f(g) = -511264*g. Let k(y) = -10*y**2. Give k(f(v)). -2613908776960*v**2 Let g(t) = -6*t**2. Let l(q) = -25 - 25 - 2864*q - 1075*q + 50. Give g(l(z)). -93094326*z**2 Let k(x) be the second derivative of 10*x**3/3 + x**2 + 248*x + 1. Let y(c) = -15*c. What is k(y(l))? -300*l + 2 Let i(y) = -y**2 + y + 179. Let s(j) = -45274*j + 22639*j + 22637*j. What is i(s(z))? -4*z**2 + 2*z + 179 Let c(g) = -76*g**2. Let q be ((-82)/82)/((-8)/(-56) + (-88)/518). Let v(u) be the first derivative of q + 0*u - 1/2*u**2. What is c(v(i))? -76*i**2 Let y(i) = 82*i - 75*i + 34*i + 70*i - 12*i. Let u(p) = 43*p. Calculate y(u(r)). 4257*r Let d(k) = 5*k**2. Suppose -3*l + 293 = -25. Let w(b) = -3 - l*b**2 + 124*b**2 + 3. What is w(d(f))? 450*f**4 Suppose y + 32 - 113 = 0. Let c = -76 + y. Let l(n) = 7 - 2*n - 2 - c. Let p(b) = 2*b**2. Calculate p(l(q)). 8*q**2 Let s be ((-63)/42)/(((-27)/(-348))/(-3)). Let c(p) = -104 + s + p + 46. Let b(n) = 8*n. Determine c(b(h)). 8*h Let r(z) = z**2 + 2*z + 4909. Let g(o) = 21*o - 22. Determine g(r(k)). 21*k**2 + 42*k + 103067 Let l(j) = -85*j**2 - 747734 + 747734. Let d(p) = -21*p**2. Determine d(l(m)). -151725*m**4 Let q(b) = 7*b**2 + 138. Let s(r) = r**2 - 77*r + 1. What is s(q(g))? 49*g**4 + 1393*g**2 + 8419 Let t(i) = 8*i**2 - 23. Let m(x) = 92*x - 360*x + 88*x + 91*x + 88*x. What is t(m(k))? 8*k**2 - 23 Let y(m) = -4*m. Let x(r)
{ "pile_set_name": "DM Mathematics" }
ppose 4*d + 5*v = 136, d - 5*v = 44 + 15. Calculate the least common multiple of 27 and d. 351 Let m be 2/5 - (-246)/(-15). Let h = -218 + 196. Let o = m - h. Calculate the lowest common multiple of o and 16. 48 Let i = -63437817668887/11656578933648 - 7/2955522042. Let n = 7/1479 + i. Calculate the common denominator of 2 - (-1)/((-6)/71) and n. 48 What is the common denominator of 6/(-14) + 13704/(-756) + 17 and 49/23? 207 Suppose -5*d - 13 = -73. Let z be (-2 - 0) + -15 + d. What is the common denominator of 25/((1 - 4) + z) and 151/30? 120 Calculate the common denominator of 2/(-10)*4590/(-108) and ((-39)/18 + 2)*37. 6 Suppose -3*k = -4*d + 21, -17*d - 27 = -3*k - 21*d. Suppose 5*q = -3*w - 28, 3*w - 4*w - 6 = q. Let n = w - -3. Calculate the lowest common multiple of n and k. 2 Let h = -5040 - -15121/3. Suppose -4*t - 44 = -0*u + 4*u, -5*t - 25 = 0. What is the common denominator of h and ((-6)/26)/(u/(-68))? 39 Calculate the common denominator of ((-4)/(-50))/((-120)/(-8925)) and 15/136. 680 Calculate the common denominator of 10/35 + (1 - 88/(-28)) and 29/2. 14 Let o = 10/14477 + 7513463/144770. Let a = -52 + o. What is the common denominator of a and -113/14? 70 Let h = -1964/103 - -138853/1648. Let f = -13177/48 + h. Let t = f - -4426/21. Find the common denominator of t and -107/14. 14 Find the common denominator of -17/218 and 5/30*((-129)/(-6) - -2). 1308 Let d(k) = -2*k + 1 - 2 + 3*k - 4. Calculate the least common multiple of d(7) and 4. 4 Let s(z) = -z**2 - 8*z + 2. Let p be s(-8). Suppose -p*g = -2*n + 8, 0 = 2*n + 3*n - 3*g - 18. What is the least common multiple of 12 and n? 12 Let c = 153 + -1079/7. Let j = 849/55 - 79/5. What is the common denominator of c and j? 77 Suppose 4*l - 9 = -3*s + 26, -15 = -l - 2*s. Suppose -4*f = f - 5*z + 25, -3*z = 5*f + 17. Calculate the least common multiple of l and 2/f + (-18)/(-4). 20 Suppose 2*c - 5*u + 10149 = -2*u, 5*c - 4*u + 25369 = 0. Let k = c + 40665/8. Let b = -917/30 + 242/5. Find the common denominator of b and k. 24 Let p = -47/25 + 2263/100. Let s be ((-27)/126)/((-54)/(-80)). Let x = s + 4673/630. Calculate the common denominator of x and p. 20 Let f = -242 + 272. Let n(z) = -z**2 + 27. Calculate the least common multiple of n(0) and f. 270 Suppose 50*f - 304 = 31*f. What is the least common multiple of f and 34? 272 Let q(x) = x**2 + 4*x - 3. Let a(l) = l**2 + l - 1. Let n be a(2). What is the smallest common multiple of 1 + n + -4 + 4 and q(-5)? 6 Let j = -52 - -61. Let s(p) = -3*p - 10. Calculate the smallest common multiple of s(-4) and j. 18 Suppose 0 = -8*w + 6*w - 8. What is the common denominator of 3*w/16*(-43)/12 and -103/22? 176 Let j = 4250 - 67977/16. Let w = -1983124663 + 7627097404493/3846. Let x = w + 8/641. Find the common denominator of x and j. 48 Suppose 0 = h + 4*l - 43 - 237, -3*l = -4*h + 1082. Calculate the smallest common multiple of h and 12. 816 Suppose 115 = 7*i - 25. What is the lowest common multiple of 120 and i? 120 Let g = -5407667/3984 - -17/1328. Let f = g + 1381. Find the common denominator of 21/5 and f. 15 Let p = 717/22 + -354/11. What is the common denominator of p and 762/54*6/4? 66 Suppose -237 = -3*d - 8*f + 11*f, -f - 391 = -5*d. Calculate the smallest common multiple of d and 26. 78 Let v = 18 - 14. Find the common denominator of 2/v - (-25)/(-6) and -61/6. 6 Let l = 1 + 2. Suppose 20 = -f + l*f. What is the common denominator of -3/2 and (-36)/f*240/(-64)? 2 Suppose 3*w = 2*w + 5. Suppose 0*v - 26 = -2*u - 2*v, -v + 61 = w*u. Let m = 53 + -37. What is the smallest common multiple of u and m? 48 Suppose 88 = 20*f - 92. Calculate the least common multiple of (-44)/(-3) - 4/(-12) and f. 45 Let k be (-3 - -6) + -2 - 3. Let m(p) = p**3 + 3*p**2 + p - 2. Let d be m(k). Let u = 7 + d. Calculate the lowest common multiple of u and 11. 77 Let a be -3 + (0 - 0) - (-11 + 8). Calculate the smallest common multiple of 2 and (-45)/10*-2 + a + 0. 18 Let y(h) = -h**3 + 5*h**2 - 3*h + 12. Let j be y(5). Find the common denominator of -8/5 and (-12)/j - (-530)/(-114). 285 Suppose -6*y = 5*u - 75, -12*y = -9*y - 4*u - 18. Suppose 5*k - 42 = 4*h, 2*h = 5*k - 0*k - 46. Let r = -6 + k. Calculate the least common multiple of y and r. 20 Suppose -5*o = -2*o - 27. Let z = 28 - 30. What is the lowest common multiple of z - -1 - (-9 + -1) and o? 9 Suppose 13*j - 14*j - 5*y = -265, 0 = y - 5. What is the lowest common multiple of 24 and j? 240 Let g be -3 + (39543/12 - 4). Let i = g - 3263. Calculate the common denominator of -73/6 and i. 12 Suppose 1834 = 18*m - 3566. What is the lowest common multiple of 300 and m? 300 Suppose 2*r = -0 + 28. What is the lowest common multiple of r and 284? 1988 What is the common denominator of -61/42 and (-306)/(-28) - 4/1? 42 Suppose 17 - 23 = -h. Suppose -b = -2*y - 20, 4*b = -y - 0*y + 62. What is the least common multiple of b and h? 48 Let a = -3 - 25. Calculate the common denominator of 107/6 and -2 + a/160*-18. 60 Suppose -3*a + 9*a - 12 = 0. What is the least common multiple of a and (-9)/(-2) + -5 - 75/(-6)? 12 Let p = -154063/74 - -2082. What is the common denominator of -99/20 and p? 740 Let j(v) = 9*v + 2*v**2 + 14 - 3*v**2 + 3*v. Let u = -12 - -24. Calculate the smallest common multiple of j(u) and 22. 154 Let l(m) = m**3 - 14*m**2 + 45*m - 16. Calculate the lowest common multiple of 2 and l(10). 34 Let r be 3*-1 - (-13 + 15). Let g = r + 1. Calculate the common denominator of g/12*174/(-8) and -44/9. 36 Suppose -3*g - j = -67, 12*j = 17*j - 5. Calculate the lowest common multiple of g and 72. 792 Let p = 913349/30 - 30441. What is the common denominator of p and 79/20? 60 Let f(c) = c**3 + c**2 - 12*c + 10. What is the lowest common multiple of f(4) and 72? 504 Let v(p) be the second derivative of p**3/6 - 5*p**2/2 + 11*p. What is the lowest common multiple of v(22) and 10? 170 Find the common denominator of (-355)/3360*-27 - (-8)/(-14) and -49/76. 608 Let u = 24179/2216 + -10/277. Let c = -104 - -205. What is the common denominator of u and (c + -7)/(2*-1)? 8 Let f = -1054 + 1060. What is the least common multiple of f and 59? 354 Let v = -256 + -145. Let i = -2421 - v. Let u = -16191/8 - i. Calculate the common denominator of u and -23/14. 56 Let r = -86257/18 + 4790. Let s = -21401 - -151905/7. Let z = 24889/84 - s. What is the common denominator of r and z? 36 Suppose 0 = 3*a - 5*o + 2*o - 21, -2*a + 5*o + 23 = 0. Let m be 8/6*(-408)/17. Calculate the smallest common multiple of 6/(-15) + m/(-5) and a. 12 Suppose -2*r - 2*x = 28 + 2, 0 = -5*r + x - 75. Find the common denominator of 3 - (2 - (-174)/r) and -27. 5 Let t = -6 - 0. Suppose -1 = m + 3*q, 1 = 3*m - 3*q + 8*q. What is the common denominator of ((-22)/t)/(m/(-4)) and 74/3? 3 Let w = -6/6245 - 29461/1836030. Find the common denominator of w and -43/6. 294 Let z(u) = 3*u**2 + 21*u + 8. Let w be z(-8). Calculate the lowest common multiple of 2*(-2)/((-12)/15) and w/10 + 4/5. 20 Suppose -g + 2*o + 500 = 0, 0*g - 1000 = -2*g - 3*o. Let l = -5007/10 + g. Find the common denominator of l and 7. 10 Let i = -31882/9792425799 + 302003007843556269881/14120678002158. Let o = i + -21387292. Let m = o - -32/103. Find the common denominator of m and -11/20. 140 Let g = -1699461407 - -20638259355301/12144. Let k = g + 1/1104. What is the common denominator of k and -1*244/32 + 3? 88 Let y(d) = 3*d**2 + 6*d - 36. What is the least common multiple of 90 and y(6)? 540 Suppose 0 = 4*k + 5*s - 23, -2*s - 2*s = -12. Suppose 3*f - 4 = f - k*o, -4*o - 12 = -f. Calculate the common denominator of 31/4 and (-25)/2 - (-2 + f). 4 What is the common denominator of -71/54 and (135/18)/(-15) - 88/30? 270 Let k = 5/719 + 38037/10066. Let i be (-2)/7 - 38155/7. Let z = i + 43665/8. What is the common denominator of z and k? 56 Let a = -152 + 153. Suppose -14 - a = -5*o. What is the smallest common multiple of 5 and o? 15 Let c(j) = 40*j - 895. Calculate the lowest common multiple of c(25) and 3. 105 Suppose 5*p + u - 171 = -52, 38 = 2*p - 2*u. Suppose 3*s = -2*v + 4*s + p, 0 = v - 2*s - 16. What is the least common multiple of 14 and v? 70 Let z(d) = -13 - 3*d + 0*d - d**2 + 15*d. Let s be (-140)/(-21)*12/8. What is the smallest common multiple of z(s) and 11? 77 Let f =
{ "pile_set_name": "DM Mathematics" }
what is -4009 - 1a5? -4203 In base 4, what is 10 + -1321210? -1321200 In base 4, what is 11 + 12112230333? 12112231010 In base 4, what is 101 - -230001302? 230002003 In base 6, what is -220511 - 13? -220524 In base 9, what is -68783 + 54? -68728 In base 6, what is -1 - 230011? -230012 In base 6, what is -12444 + 55? -12345 In base 3, what is -222010 + -111? -222121 In base 6, what is 11043 + -504? 10135 In base 10, what is 19 - -11546? 11565 In base 2, what is -1101100101 + 1111110001? 10001100 In base 16, what is 553e + 18? 5556 In base 3, what is -11 + -11101010? -11101021 In base 9, what is -5 - 503181? -503186 In base 9, what is 10715 + -4? 10711 In base 12, what is -39b57 - 2? -39b59 In base 12, what is 12 - -768b3? 76905 In base 12, what is -4 + -483b6? -483ba In base 13, what is -3 + -1a7a0a? -1a7a10 In base 16, what is 2 + -3306f? -3306d In base 10, what is 44 - -1352? 1396 In base 6, what is 11055 - 1015? 10040 In base 16, what is 3 + 4ce9? 4cec In base 6, what is 34200054 - 2? 34200052 In base 6, what is -15220 - 12? -15232 In base 16, what is -6d - -34? -39 In base 11, what is -2 - -7a4? 7a2 In base 5, what is -22430 + -14? -22444 In base 11, what is 61387 + 20? 613a7 In base 16, what is 2f08 - 7? 2f01 In base 4, what is 31 - -1313022? 1313113 In base 16, what is fd65 - 6? fd5f In base 12, what is 3 - 582252? -58224b In base 16, what is -16ae9 - -1? -16ae8 In base 3, what is -10 - -1202122011? 1202122001 In base 6, what is -340122 - 4? -340130 In base 9, what is -368242 - 3? -368245 In base 2, what is -110 + -1010010111111000? -1010010111111110 In base 10, what is 4232 - 314? 3918 In base 15, what is -96 - -10? -86 In base 10, what is 9 - -213493? 213502 In base 11, what is 8a0 + -119? 782 In base 10, what is -44181 + -21? -44202 In base 14, what is 17 - -774? 78b In base 3, what is -2000111102 + 1? -2000111101 In base 7, what is -5 - 43362? -43400 In base 6, what is -334501 - 2? -334503 In base 13, what is 15b27c - 3? 15b279 In base 9, what is -1117351 + 3? -1117347 In base 5, what is -132 - -123144? 123012 In base 7, what is -2223 - 26326? -31552 In base 4, what is -31313110 + -1? -31313111 In base 8, what is -5 + 3757610? 3757603 In base 11, what is 0 - 52a9? -52a9 In base 9, what is -1425 - -30? -1385 In base 5, what is 3 + 12124303? 12124311 In base 12, what is 2 + -11731? -1172b In base 12, what is 35051 - 30? 35021 In base 8, what is 11 + 34424? 34435 In base 6, what is 204432324 + 0? 204432324 In base 16, what is -14 + 1a07? 19f3 In base 11, what is -1182 - 68? -123a In base 2, what is 10000110011111 - 101? 10000110011010 In base 3, what is -2222201 + -20? -2222221 In base 12, what is 63 - 129a? -1237 In base 16, what is a6 + b26? bcc In base 8, what is 5 + 327566? 327573 In base 14, what is -1354 + -15? -1369 In base 10, what is 52 + 574? 626 In base 9, what is 4201 - -141? 4342 In base 15, what is c1 + -102? -31 In base 3, what is -122 - -110020222? 110020100 In base 4, what is 0 - 1103203? -1103203 In base 2, what is 10001011011 - -100100? 10001111111 In base 12, what is -278 - 658? -914 In base 16, what is 5 - 20ae2? -20add In base 11, what is 1409 - -3a9? 1807 In base 6, what is -205250 + -41? -205331 In base 2, what is -1010100100001011110 + -10? -1010100100001100000 In base 14, what is 272 + -47a? -208 In base 9, what is 1513017 + 0? 1513017 In base 6, what is 4331104 + 0? 4331104 In base 10, what is -5 + 27765? 27760 In base 8, what is 26 - -3441? 3467 In base 11, what is 50386 - -9? 50394 In base 3, what is -200101200 - -12222? -200011201 In base 3, what is 11 - 110212012011? -110212012000 In base 5, what is 1433211 - -1? 1433212 In base 16, what is 41 - -ab? ec In base 3, what is -1120 - 102? -1222 In base 4, what is 0 + 20333211? 20333211 In base 13, what is 41 - 30a? -299 In base 7, what is 303 - 1230? -624 In base 11, what is -4 + 279? 275 In base 6, what is 4524 + 333? 5301 In base 9, what is 3036 + -4? 3032 In base 16, what is -1 - 5cc? -5cd In base 7, what is 1432531 - 0? 1432531 In base 11, what is a9 + 87? 185 In base 16, what is dd + 1f4? 2d1 In base 9, what is -554 - 327? -882 In base 16, what is 2 + 13b1? 13b3 In base 13, what is 393 + bc9? 128c In base 15, what is -638 - c5? -70d In base 5, what is -1030131 + 22? -1030104 In base 10, what is -34284 + 5? -34279 In base 13, what is -1788 - 2? -178a In base 12, what is 51b + -139? 3a2 In base 12, what is -9 - -77070? 77063 In base 13, what is -5 - -1322b7? 1322b2 In base 9, what is -42341 + 12? -42328 In base 11, what is 1291aa + 0? 1291aa In base 7, what is 16023 + -12? 16011 In base 5, what is 10 - 40021221? -40021211 In base 6, what is 254324 - 14? 254310 In base 15, what is cc + 37e? 45b In base 7, what is -54144 + 4? -54140 In base 7, what is -5 - 11250? -11255 In base 9, what is 3 - -1322513? 1322516 In base 8, what is 125 + 1065? 1212 In base 2, what is 100 + 1001010000111011? 1001010000111111 In base 8, what is 565577 + -3? 565574 In base 14, what is 9d95 - 2? 9d93 In base 7, what is 1140262 + -2? 1140260 In base 4, what is 13222303100 - 3? 13222303031 In base 16, what is 204 + -736? -532 In base 6, what is -104220 - -43? -104133 In base 3, what is 102021 + 2001? 111022 In base 7, what is 105133 - 3? 105130 In base 14, what is 3 + -a0d1? -a0cc In base 12, what is 4 - -a891? a895 In base 13, what is -6790a - 5? -67912 In base 4, what is 1212 - 230120? -222302 In base 8, what is 144 - -65? 231 In base 4, what is -1 - -20131210? 20131203 In base 13, what is 161c + b? 162a In base 2, what is -100111100101110 + -10? -100111100110000 In base 7, what is -2 - 211561? -211563 In base 6, what is -1004425 + -3? -1004432 In base 12, what is 2599 - 19? 2580 In base 7, what is -5 + -1613365? -1613403 In base 5, what is -103421 - 4? -103430 In base 7, what is 20446 + -11? 20435 In base 7, what is -503660 + -5? -503665 In base 14, what is -1448 - 108? -1552 In base 9, what is -63736 + 23? -63713 In base 7, what is 100325 + -2? 100323 In base 8, what is 13424 + -2? 13422 In base 15, what is 34c + -20? 32c In base 11, what is 7191 - -4? 7195 In base 4, what is 12302 - -20221? 33123 In base 11, what is -894887 + 4? -894883 In base 5, what is 2044 + 42443? 100042 In base 13, what is 40 - 116? -a6 In base 13, what is c04b8 - -6? c04c1 In base 3, what is 1111220210 + -1? 1111220202 In base 5, what is -40144 - -2144? -33000 In base 2, what is 11100110 + 110011011? 1010000001 In base 13, what is -17a38 - -1? -17a37 In base 15, what is 3 - 6145a? -61457 In base 2, what is 10 + -11001110110110101010? -11001110110110101000 In base 14, what is -2885 + 9? -287a In base 4, what is -101301212 + 301? -101300311 In base 12, what is -a02 + -2ba? -1100 In base 6, what is -10 + 105112? 105102 In base 9, what is 12687 + -5? 12682 In base 16, what is 3 + f9cb? f9ce In base 15, what is d25 + 8? d2d In base 15, what is 10 + 16374? 16384 In base 8, what is -614543 + -1? -614544 In base 11, what is -1 + 31022? 31021 In base 11, what is 6 + -3788? -3782 In base 8, what is 31505 - 0? 31505 In base 8, what is 41241131 + 3? 41241134 In base 9, what is 5518 + -13? 5505 In base 11, what is 4 + 33968? 33971 In base 8, what is -11 - 43705? -43716 In base 7, what is 4 - 4251364? -4251360 In base 5, what is 2 - -3044? 3101 In base 15, what is -85a + 5? -855 In base 12, what is 223416 - -5? 22341b In base 2, what is 100 + -101001110011000011? -101001110010111111 In base 4, what is -1 - 2302011312? -2302011313 In base 5, what is -2 + 112400? 112343 In base 3, what is 2022221 + -2202110? -102112 In base 4, what is 0 + -122101112? -122101112 In base 14, what is 3 + 10b20? 10b23 In base 16, what is 3cee + -ea? 3c04 In base 4, what is -202030 + -2303? -210333 In base 7, what is -6242 + -620? -10162 In base 12, what is -b97 + -751? -1728 In base 3, what is 2 - -222220100? 222220102 In base 8, what is 2057 + 1172? 3251 In base 2, what is -101 - 1000010101110? -1000010110011 In base 12, what is 3 - -8b342? 8b345 In base 15, what is -14b4d + 2? -14b4b In base 9, what is 36803 - -3? 36806 In base 9, what is -7 + 550? 542 In base 8, what is 4402 + 31? 4433 In base 8, what is 6042 + -1? 6041 In base 13, what is -26224 - 7? -2622b In base 7, what is 610 + 131? 1041 In base 3, what is -12 - -222021210? 22202
{ "pile_set_name": "DM Mathematics" }
19? 1 What is the greatest common divisor of 1425 and 380? 95 Calculate the greatest common factor of 12 and 12. 12 Calculate the highest common factor of 215 and 3397. 43 What is the highest common factor of 891 and 990? 99 Calculate the highest common divisor of 6 and 10. 2 Calculate the highest common divisor of 29 and 10237. 29 What is the greatest common factor of 86 and 28423? 43 What is the highest common factor of 6993 and 81? 27 What is the greatest common divisor of 90 and 100? 10 Calculate the greatest common factor of 301 and 63. 7 What is the greatest common factor of 55 and 15345? 55 What is the highest common divisor of 6 and 2802? 6 Calculate the highest common factor of 1104 and 10074. 138 What is the greatest common divisor of 732 and 18? 6 Calculate the greatest common divisor of 54 and 351. 27 Calculate the greatest common divisor of 104 and 392. 8 Calculate the greatest common factor of 12 and 8592. 12 What is the highest common factor of 680 and 1394? 34 What is the greatest common factor of 2254 and 56? 14 Calculate the greatest common factor of 3428 and 4. 4 Calculate the highest common divisor of 9202 and 1498. 214 What is the greatest common divisor of 70 and 80? 10 What is the greatest common factor of 144 and 40? 8 What is the highest common divisor of 918 and 16983? 459 Calculate the highest common factor of 27 and 63. 9 What is the highest common factor of 16940 and 726? 242 Calculate the greatest common divisor of 1645 and 70. 35 Calculate the greatest common divisor of 189 and 84. 21 What is the highest common divisor of 5336 and 88? 8 Calculate the highest common divisor of 295 and 10. 5 What is the highest common divisor of 238 and 34? 34 Calculate the highest common factor of 478 and 6. 2 What is the greatest common factor of 9 and 8631? 9 Calculate the greatest common factor of 2228 and 4. 4 Calculate the highest common divisor of 14 and 4. 2 Calculate the greatest common divisor of 768 and 1104. 48 Calculate the greatest common divisor of 187 and 11. 11 Calculate the greatest common factor of 28 and 28. 28 Calculate the highest common divisor of 148 and 56. 4 Calculate the highest common divisor of 88 and 4444. 44 What is the highest common factor of 2 and 11484? 2 What is the greatest common divisor of 84 and 324? 12 What is the highest common divisor of 230 and 138? 46 What is the highest common divisor of 3306 and 1254? 114 Calculate the highest common factor of 130 and 90. 10 What is the highest common factor of 80 and 70? 10 Calculate the greatest common factor of 8541 and 39. 39 Calculate the greatest common factor of 56 and 161. 7 What is the highest common factor of 598 and 46? 46 What is the greatest common divisor of 1098 and 18? 18 Calculate the highest common divisor of 11975 and 75. 25 Calculate the highest common divisor of 3698 and 86. 86 What is the greatest common factor of 692 and 1211? 173 What is the highest common divisor of 328 and 3116? 164 Calculate the greatest common divisor of 9 and 8. 1 What is the greatest common factor of 95 and 323? 19 What is the highest common factor of 4564 and 56? 28 What is the greatest common divisor of 1220 and 80? 20 What is the greatest common factor of 88 and 2695? 11 What is the highest common factor of 234 and 6354? 18 What is the highest common factor of 209 and 76? 19 Calculate the greatest common factor of 7426 and 158. 158 What is the highest common factor of 200 and 36? 4 What is the greatest common factor of 14306 and 46? 46 What is the highest common factor of 106 and 371? 53 Calculate the highest common divisor of 3036 and 9660. 276 Calculate the highest common factor of 76 and 22496. 76 What is the greatest common divisor of 23501 and 71? 71 What is the highest common divisor of 6001 and 68? 17 Calculate the highest common divisor of 688 and 592. 16 Calculate the highest common factor of 110 and 3230. 10 What is the highest common factor of 112 and 752? 16 Calculate the highest common factor of 144 and 23472. 144 Calculate the greatest common divisor of 4836 and 936. 156 What is the greatest common factor of 9 and 11979? 9 Calculate the highest common factor of 7999 and 19. 19 Calculate the highest common divisor of 152 and 20824. 152 What is the greatest common factor of 22 and 539? 11 What is the highest common factor of 292 and 4? 4 What is the greatest common divisor of 15423 and 159? 159 Calculate the greatest common divisor of 1012 and 88. 44 What is the highest common divisor of 4595 and 15? 5 Calculate the highest common factor of 14 and 574. 14 What is the highest common factor of 81 and 33? 3 What is the greatest common divisor of 249 and 3569? 83 What is the greatest common factor of 133 and 4541? 19 Calculate the highest common divisor of 8343 and 405. 81 What is the highest common divisor of 8 and 1128? 8 What is the greatest common factor of 19584 and 192? 192 Calculate the highest common divisor of 3 and 708. 3 What is the highest common factor of 3477 and 57? 57 Calculate the greatest common divisor of 122 and 3477. 61 Calculate the greatest common factor of 328 and 8. 8 What is the highest common divisor of 182 and 28? 14 What is the highest common factor of 4 and 8? 4 What is the greatest common factor of 3168 and 693? 99 Calculate the highest common factor of 121 and 209. 11 Calculate the greatest common divisor of 28 and 3052. 28 Calculate the highest common factor of 350 and 450. 50 What is the highest common divisor of 648 and 3483? 81 What is the highest common factor of 77 and 33? 11 What is the highest common factor of 2656 and 2988? 332 Calculate the greatest common factor of 299 and 23. 23 Calculate the greatest common divisor of 6 and 6. 6 What is the greatest common factor of 1188 and 6138? 198 Calculate the highest common divisor of 45 and 2529. 9 What is the greatest common divisor of 91 and 2730? 91 Calculate the highest common divisor of 20 and 1860. 20 Calculate the greatest common divisor of 156 and 12. 12 Calculate the greatest common divisor of 2 and 25. 1 Calculate the greatest common factor of 100 and 4150. 50 Calculate the greatest common divisor of 162 and 702. 54 What is the highest common factor of 5 and 55? 5 Calculate the highest common factor of 5 and 1010. 5 Calculate the highest common factor of 123 and 369. 123 What is the greatest common factor of 5763 and 51? 51 Calculate the greatest common divisor of 143 and 169. 13 Calculate the greatest common factor of 33 and 132. 33 What is the highest common factor of 2041 and 13? 13 What is the highest common factor of 135 and 510? 15 What is the greatest common factor of 1 and 2827? 1 Calculate the highest common factor of 124 and 372. 124 What is the highest common divisor of 34 and 1054? 34 What is the greatest common divisor of 511 and 637? 7 Calculate the greatest common factor of 6 and 22. 2 Calculate the greatest common divisor of 332 and 20. 4 What is the highest common factor of 1135 and 5? 5 What is the highest common divisor of 5895 and 90? 45 What is the highest common factor of 28 and 1316? 28 What is the greatest common divisor of 48 and 112? 16 What is the highest common divisor of 29 and 11629? 29 What is the highest common factor of 2 and 354? 2 What is the greatest common factor of 18 and 153? 9 What is the greatest common factor of 434 and 248? 62 Calculate the greatest common divisor of 585 and 450. 45 Calculate the greatest common divisor of 48 and 21392. 16 What is the greatest common divisor of 195 and 9? 3 Calculate the highest common divisor of 6 and 2. 2 What is the highest common factor of 255 and 153? 51 Calculate the greatest common factor of 5 and 85. 5 Calculate the highest common factor of 174 and 28362. 174 Calculate the highest common factor of 299 and 46. 23 Calculate the greatest common factor of 80 and 2560. 80 What is the highest common factor of 20 and 240? 20 Calculate the highest common factor of 7100 and 100. 100 What is the highest common divisor of 12 and 222? 6 Calculate the greatest common divisor of 51 and 357. 51 What is the greatest common factor of 3 and 187? 1 What is the greatest common divisor of 26 and 442? 26 Calculate the highest common factor of 153 and 1547. 17 What is the highest commo
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {k: 14, y: 5}. What is prob of sequence yk? 35/171 What is prob of sequence wfr when three letters picked without replacement from wvvzyfrrzfvyyf? 1/364 Two letters picked without replacement from blbblwnibiwbllnblw. What is prob of sequence bi? 2/51 Three letters picked without replacement from oopwhjhjwhgj. Give prob of sequence hpj. 3/440 Three letters picked without replacement from {k: 12, m: 4, g: 4}. Give prob of sequence kmm. 2/95 Calculate prob of sequence ks when two letters picked without replacement from {s: 1, e: 2, k: 7}. 7/90 What is prob of sequence utu when three letters picked without replacement from {v: 3, q: 3, p: 1, t: 2, r: 1, u: 5}? 4/273 Three letters picked without replacement from {r: 4, x: 1, f: 1, a: 2}. Give prob of sequence ara. 1/42 Two letters picked without replacement from {t: 14, p: 2, m: 1}. Give prob of sequence mt. 7/136 Two letters picked without replacement from dgdvrngz. Give prob of sequence zv. 1/56 Four letters picked without replacement from otnntxnttxttx. What is prob of sequence oxtt? 3/572 Calculate prob of sequence ia when two letters picked without replacement from umati. 1/20 Three letters picked without replacement from {w: 1, t: 7, h: 1, a: 2, r: 7}. What is prob of sequence trh? 49/4896 Four letters picked without replacement from oikkoioyaioiojk. What is prob of sequence kojo? 1/546 What is prob of sequence cv when two letters picked without replacement from vvvvvcviz? 1/12 Two letters picked without replacement from qqgqqqqqooqogqqogq. What is prob of sequence og? 2/51 Calculate prob of sequence uzu when three letters picked without replacement from ccuzcuzzz. 1/63 Two letters picked without replacement from {n: 5, l: 3, u: 1}. Give prob of sequence nu. 5/72 What is prob of sequence oro when three letters picked without replacement from rryryoyoyryyryoyrry? 7/969 Two letters picked without replacement from {u: 2, t: 2, b: 1, l: 4}. Give prob of sequence lt. 1/9 Two letters picked without replacement from aylcv. What is prob of sequence vl? 1/20 What is prob of sequence sjs when three letters picked without replacement from {s: 5, j: 3, m: 1}? 5/42 Calculate prob of sequence md when two letters picked without replacement from {m: 1, d: 3, f: 3}. 1/14 Calculate prob of sequence pptp when four letters picked without replacement from mptmmmppmffmpmmmmmmt. 2/4845 Three letters picked without replacement from fnnsiyi. Give prob of sequence ysi. 1/105 Calculate prob of sequence xz when two letters picked without replacement from {k: 1, x: 1, a: 2, z: 1}. 1/20 Three letters picked without replacement from {v: 3, q: 1, k: 3}. Give prob of sequence vqk. 3/70 Two letters picked without replacement from owwwpppppwpwpwppo. What is prob of sequence wp? 27/136 Four letters picked without replacement from {v: 5, h: 8}. Give prob of sequence vvhh. 28/429 Two letters picked without replacement from {i: 4, r: 1, f: 2}. What is prob of sequence fi? 4/21 What is prob of sequence hhh when three letters picked without replacement from hxxvavwxhahhhvwa? 1/56 Two letters picked without replacement from {j: 11, x: 1, z: 3, a: 1, u: 3}. What is prob of sequence xz? 1/114 Calculate prob of sequence nf when two letters picked without replacement from nfrvn. 1/10 Three letters picked without replacement from rvkzvmmrkrvdvvvmk. What is prob of sequence rmd? 3/1360 Three letters picked without replacement from vzvizviivfvvvivi. Give prob of sequence vfv. 1/60 Four letters picked without replacement from {r: 2, v: 2, a: 9}. What is prob of sequence rrav? 3/1430 What is prob of sequence iaei when four letters picked without replacement from wieieaaeda? 1/280 What is prob of sequence czzc when four letters picked without replacement from {c: 3, z: 6, u: 2, x: 1}? 1/66 Four letters picked without replacement from gffgggggfg. What is prob of sequence gggf? 1/8 Four letters picked without replacement from gnvvnzx. Give prob of sequence xngz. 1/420 Four letters picked without replacement from robrxomollxmbxxr. Give prob of sequence xrml. 1/910 Three letters picked without replacement from {m: 2, d: 7, v: 3, x: 1, l: 5}. What is prob of sequence xvm? 1/816 Two letters picked without replacement from axggp. What is prob of sequence gg? 1/10 Two letters picked without replacement from dhchcdcdhhhddddd. What is prob of sequence dh? 1/6 Three letters picked without replacement from {y: 4, r: 2, w: 4, i: 1, f: 2, m: 6}. What is prob of sequence rwi? 4/2907 What is prob of sequence ycy when three letters picked without replacement from {c: 16, y: 2}? 1/153 Two letters picked without replacement from {i: 2, n: 4, r: 4, m: 2}. Give prob of sequence nn. 1/11 What is prob of sequence oho when three letters picked without replacement from {o: 10, h: 6, q: 1}? 9/68 Four letters picked without replacement from {g: 3, q: 13, j: 4}. Give prob of sequence gjjg. 1/1615 Three letters picked without replacement from {g: 5, k: 14}. What is prob of sequence gkg? 140/2907 Calculate prob of sequence cr when two letters picked without replacement from zqreecc. 1/21 Four letters picked without replacement from kkbbmmkmkmkmbmw. Give prob of sequence kkmm. 5/273 What is prob of sequence ci when two letters picked without replacement from {f: 5, i: 5, n: 4, c: 1, v: 5}? 1/76 Two letters picked without replacement from {p: 3, k: 2}. What is prob of sequence kp? 3/10 What is prob of sequence mmm when three letters picked without replacement from mmmememeemmeeemmeme? 40/323 Calculate prob of sequence ai when two letters picked without replacement from {i: 5, a: 1, f: 7, v: 1, u: 5}. 5/342 Four letters picked without replacement from {k: 7, t: 1, n: 5, q: 1}. What is prob of sequence tnkk? 5/572 Three letters picked without replacement from {v: 1, x: 1, c: 1, s: 2, q: 1, b: 1}. Give prob of sequence vss. 1/105 Three letters picked without replacement from {b: 6, l: 4, s: 1}. What is prob of sequence blb? 4/33 Calculate prob of sequence dtdd when four letters picked without replacement from {d: 8, m: 2, t: 4}. 8/143 Three letters picked without replacement from {e: 1, m: 2, x: 1, r: 4, y: 7, o: 2}. Give prob of sequence rxm. 1/510 Two letters picked without replacement from qqqqkkkikq. What is prob of sequence iq? 1/18 What is prob of sequence mggg when four letters picked without replacement from gjzmmzzzgmgzzqmgzqgg? 4/969 Calculate prob of sequence uu when two letters picked without replacement from {y: 9, i: 1, k: 1, u: 2}. 1/78 Four letters picked without replacement from {h: 3, r: 7, j: 3}. Give prob of sequence jhhj. 3/1430 What is prob of sequence sqf when three letters picked without replacement from qyrsssfyssyvssqs? 1/210 Two letters picked without replacement from {e: 3, f: 5, q: 2}. Give prob of sequence qq. 1/45 What is prob of sequence eeee when four letters picked without replacement from {w: 4, e: 6}? 1/14 Four letters picked without replacement from iiiliwiwiiwiaiww. Give prob of sequence iaai. 0 What is prob of sequence xx when two letters picked without replacement from xwwwxyiwwycywwywyiix? 3/190 Three letters picked without replacement from lpmllmllmkylppmym. Give prob of sequence mll. 5/136 Calculate prob of sequence wq when two letters picked without replacement from {q: 3, w: 6, k: 3, l: 3}. 3/35 Three letters picked without replacement from qasaolvo. What is prob of sequence oov? 1/168 Calculate prob of sequence kkn when three letters picked without replacement from xkcnk. 1/30 What is prob of sequence jq when two letters picked without replacement from jeeeejxeq? 1/36 Two letters picked without replacement from tuutufuufttfuuuu. What is prob of sequence ff? 1/40 Calculate prob of sequence wm when two letters picked without replacement from wewjwejeelmmejwmmwl. 10/171 What is prob of sequence nd when two letters picked without replacement from ggnd? 1/12 Calculate prob of sequence qqtq when four letters picked without replacement from tttjqebbtttltblet. 0 What is prob of sequence aa when two letters picked without replacement from aaawaaaaawwaaa? 55/91 Four letters picked without replacement from {v: 7, n: 4, t: 1, y: 1, m: 3}. What is prob of sequence ytmy? 0 What is prob of sequence bn when two le
{ "pile_set_name": "DM Mathematics" }
of 520 and 360? 40 Calculate the greatest common divisor of 39013 and 13. 13 What is the highest common divisor of 18 and 30258? 18 What is the highest common divisor of 100 and 250? 50 Calculate the greatest common divisor of 30 and 1110. 30 What is the greatest common factor of 525 and 1155? 105 What is the greatest common divisor of 750 and 270? 30 Calculate the highest common divisor of 168 and 2688. 168 Calculate the greatest common divisor of 940 and 180. 20 What is the greatest common divisor of 52 and 2834? 26 Calculate the highest common factor of 13 and 481. 13 Calculate the greatest common divisor of 226 and 2599. 113 Calculate the greatest common factor of 30 and 750. 30 Calculate the greatest common divisor of 21 and 15. 3 What is the greatest common factor of 55 and 319? 11 Calculate the highest common factor of 92 and 1196. 92 What is the greatest common divisor of 11916 and 72? 36 Calculate the highest common factor of 23 and 29. 1 Calculate the highest common factor of 2555 and 105. 35 Calculate the highest common factor of 297 and 6369. 33 Calculate the highest common factor of 1079 and 166. 83 What is the highest common divisor of 8 and 296? 8 What is the highest common divisor of 342 and 18? 18 What is the highest common divisor of 1116 and 396? 36 What is the highest common divisor of 441 and 657? 9 Calculate the greatest common factor of 216 and 1836. 108 Calculate the greatest common divisor of 60 and 40. 20 What is the greatest common divisor of 45 and 576? 9 Calculate the highest common factor of 36 and 5283. 9 Calculate the highest common factor of 225 and 405. 45 Calculate the highest common factor of 36 and 24. 12 Calculate the greatest common divisor of 20 and 620. 20 What is the highest common divisor of 134640 and 340? 340 What is the greatest common factor of 2052 and 76? 76 Calculate the highest common factor of 1 and 32. 1 What is the greatest common divisor of 106722 and 154? 154 Calculate the greatest common divisor of 403 and 26. 13 Calculate the highest common divisor of 1220 and 160. 20 Calculate the highest common divisor of 84 and 399. 21 Calculate the greatest common factor of 300 and 4260. 60 What is the highest common divisor of 252 and 2916? 36 What is the greatest common factor of 435 and 75? 15 Calculate the highest common divisor of 16 and 400. 16 What is the highest common divisor of 162 and 30? 6 Calculate the highest common factor of 1888 and 32. 32 Calculate the highest common divisor of 225 and 45. 45 What is the highest common divisor of 30 and 15264? 6 What is the greatest common divisor of 198 and 66? 66 Calculate the highest common divisor of 945 and 15687. 189 Calculate the greatest common divisor of 122 and 549. 61 Calculate the greatest common divisor of 17 and 17. 17 Calculate the greatest common divisor of 16730 and 70. 70 Calculate the highest common divisor of 42 and 322. 14 Calculate the greatest common factor of 27 and 2. 1 Calculate the greatest common divisor of 22 and 649. 11 Calculate the highest common factor of 10 and 15. 5 What is the greatest common divisor of 315 and 1005? 15 Calculate the highest common factor of 1392 and 435. 87 Calculate the highest common factor of 91 and 2574. 13 Calculate the greatest common factor of 12 and 1236. 12 Calculate the greatest common divisor of 124 and 279. 31 What is the highest common divisor of 150 and 825? 75 Calculate the highest common factor of 1610 and 7. 7 What is the greatest common divisor of 292 and 4? 4 What is the greatest common factor of 7570 and 10? 10 Calculate the highest common factor of 1470 and 42. 42 What is the greatest common factor of 52575 and 150? 75 What is the greatest common factor of 9937 and 57? 19 What is the greatest common divisor of 568 and 8? 8 What is the highest common factor of 4186 and 644? 322 Calculate the highest common factor of 3564 and 405. 81 What is the greatest common divisor of 13696 and 107? 107 Calculate the highest common divisor of 72 and 279. 9 What is the highest common factor of 198 and 738? 18 What is the greatest common factor of 1705 and 775? 155 What is the highest common factor of 3 and 33? 3 What is the highest common factor of 32 and 2912? 32 What is the greatest common factor of 6500 and 40? 20 Calculate the greatest common factor of 20 and 740. 20 What is the highest common divisor of 902 and 82? 82 What is the greatest common factor of 925 and 148? 37 What is the greatest common factor of 12 and 1524? 12 Calculate the greatest common divisor of 22 and 693. 11 Calculate the greatest common divisor of 418 and 1368. 38 What is the greatest common divisor of 10 and 8? 2 What is the greatest common factor of 385 and 280? 35 What is the highest common divisor of 972 and 48? 12 What is the highest common divisor of 7 and 28? 7 What is the greatest common factor of 6 and 32? 2 What is the greatest common divisor of 21 and 168? 21 Calculate the greatest common factor of 30 and 1375. 5 What is the highest common factor of 40 and 580? 20 What is the highest common divisor of 100 and 180? 20 Calculate the highest common divisor of 66 and 24. 6 What is the greatest common divisor of 56 and 5768? 56 What is the greatest common divisor of 12 and 204? 12 Calculate the highest common factor of 17 and 136. 17 Calculate the highest common divisor of 154 and 22. 22 Calculate the highest common factor of 540 and 288. 36 What is the greatest common divisor of 240 and 90? 30 What is the greatest common divisor of 61 and 4453? 61 Calculate the greatest common divisor of 33 and 220. 11 Calculate the highest common factor of 20 and 460. 20 What is the greatest common divisor of 42 and 490? 14 Calculate the highest common factor of 2 and 286. 2 What is the highest common factor of 15 and 465? 15 Calculate the greatest common divisor of 4600 and 3910. 230 Calculate the highest common divisor of 693 and 6083. 77 What is the highest common divisor of 3261 and 9? 3 Calculate the highest common factor of 15147 and 153. 153 Calculate the greatest common divisor of 68 and 15334. 34 Calculate the highest common divisor of 31 and 2. 1 What is the greatest common divisor of 115 and 69? 23 What is the highest common divisor of 186 and 2202? 6 What is the greatest common divisor of 1938 and 114? 114 What is the highest common divisor of 5 and 7? 1 Calculate the highest common factor of 4331 and 244. 61 What is the highest common divisor of 196 and 168? 28 What is the greatest common factor of 9144 and 32? 8 Calculate the greatest common factor of 2368 and 74. 74 Calculate the greatest common factor of 79164 and 72. 36 Calculate the greatest common divisor of 24 and 60. 12 What is the highest common factor of 17 and 663? 17 Calculate the highest common divisor of 9330 and 150. 30 What is the highest common factor of 64 and 24? 8 What is the highest common factor of 3641 and 121? 11 What is the greatest common factor of 480 and 195? 15 Calculate the greatest common factor of 55 and 209. 11 Calculate the greatest common divisor of 9772 and 140. 28 What is the greatest common divisor of 1196 and 208? 52 What is the greatest common factor of 95 and 1216? 19 Calculate the greatest common divisor of 1677 and 129. 129 Calculate the highest common factor of 39 and 18317. 13 Calculate the greatest common factor of 63 and 861. 21 Calculate the greatest common divisor of 70 and 63. 7 Calculate the greatest common factor of 16 and 2. 2 What is the highest common factor of 16 and 27? 1 Calculate the greatest common divisor of 2575 and 100. 25 What is the highest common factor of 25669 and 133? 133 Calculate the highest common divisor of 96 and 64. 32 Calculate the highest common factor of 385 and 75. 5 Calculate the greatest common divisor of 2430 and 450. 90 Calculate the highest common factor of 116 and 725. 29 What is the highest common divisor of 4 and 1772? 4 What is the greatest common factor of 130 and 1270? 10 Calculate the greatest common factor of 351 and 54. 27 Calculate the highest common factor of 550 and 6820. 110 What is the highest common factor of 220 and 15620? 220 What is the highest common factor of 65 and 715? 65 Calculate the highest common divisor of 24 and 276. 12 Calculate the highest comm
{ "pile_set_name": "DM Mathematics" }
y*u + u = 2*p - 8 for u. 4 Let h(r) = -2*r**2 + 53*r + 30. Let w = 19 - -8. Let g be h(w). Solve 3*f + a = 5 + 2, 4*f = -g*a + 11 for f. 2 Suppose -3*o = -4*w + 1768, 102 + 780 = 2*w - 2*o. Let a be 1/(-11) + w/55. Suppose -42 = -a*y + 102. Solve -2*r + 0*r - y = -4*t, -2*r - 5*t = 0 for r. -5 Suppose 87*y = -263*y + 7700. Solve 10*f = 8*f - 4*a + y, -2*a = -2*f + 4 for f. 5 Let g be 18/12*16/6. Suppose 0 = 2*b - g*b + 20. Suppose 5*y = -3*z + b, 0 = -4*z + y + 2 + 19. Solve 0 = -5*f + 2*p - 9, -f + z*p + 9 = f for f. -3 Suppose -648 = -10*f - 17*f. Suppose -26*n = -38*n + f. Solve -c = -v - 1, -2*v = 3*v - n*c - 10 for v. 4 Let r(j) = j**2 + 4*j - 17. Let y be r(-6). Let g(d) = -5*d - 23. Let f be g(y). Let c = 8 + -8. Solve -5*i = b - 9 - 4, f*i + 3*b - 13 = c for i. 2 Suppose 0 = -z - 3*r + 21, 3*r = 51309*z - 51308*z + 15. Let u be ((-3)/1)/(-1*1). Let x be 15/4 - (-3)/12. Solve -z*b = h - x, 4*h - b - u*b = 0 for h. 1 Suppose 5*o = 45, 19*h - 2 = 4*o - 0. Solve -10*p + 13*p = -2*l + 9, 0 = h*p - 5*l - 25 for p. 5 Let b = 73 - 41. Suppose -o - 3*a = -36, -3*o = -2*o + a - b. Let d be (-5)/4*72/(-18). Solve -17 = -j - 4*r, o = -0*j - d*j + 3*r for j. -3 Suppose -20 = 4*p + 36. Let h = -11 - p. Suppose 2*l - 3*r = 9, -h*l + 3*r = -4*l. Solve 0 = l*k - w - 7, w + 3 = -2*w for k. 2 Suppose -5*t = y - 14, -2*t - 1 + 6 = y. Let z be ((-7 - 1)*-1)/1. Solve t*a = b - 16, -4*b - 3*a + z = -a for b. 4 Suppose 4*r + 3*p = -171, -3*r = 5*p + 116 + 15. Let a be r + 42 - 0/2. Solve 0 = -0*k + k - 2*w - 10, a = 3*k - 2*w - 14 for k. 2 Suppose -66 = 45*i - 53 - 148. Solve -97*k + 100*k = -i*c, 0 = c - 1 for k. -1 Let m be (-11450)/(-70) - (-12)/(-21). Let h = m - 160. Solve 4*r - 18 = -2*l, 4*l = h*r + 5 + 9 for r. 2 Let u(q) = q**3 + 37*q**2 - 34*q + 157. Let v be u(-38). Solve -4*x = -2*p - 7*x + 12, -v*x = 3*p - 18 for p. 6 Let n be 5 + -13 + 16 + 2/(-1). Solve 2*i + n*q - 22 = 2*q, q - 4 = i for i. 1 Suppose 35*f + 480 = 131*f. Solve -3*v + f*i - 5 = -v, v + 2*i = 11 for v. 5 Let m(t) = -t**3 + 6*t**2 - 74*t + 274. Let j be m(4). Solve 0 = -8*v + 12*v - 8, 2*p + 2*v - j = 0 for p. 3 Suppose -14*b + 104 = 3*w - 10*b, -2*w + 72 = 4*b. Suppose w + 16 = 12*x. Solve -2*n = 2*a + 1 - 5, 11 = x*a + 5*n for a. -1 Let r(v) = -41*v + 3116. Let a be r(76). Solve a = 3*h + 3*i + 9, 2*h - i = 4*i - 20 for h. -5 Suppose 1550 - 1550 = -29*m. Solve 9 = 355*l - 358*l, m = v + 5*l + 11 for v. 4 Let n be 5/60*-3 - (126/(-8))/3. Solve -14*j - 4*l + 15 = -17*j, 5*l - 20 = n*j for j. -1 Suppose -4*z + 4*s = 8, 39*z - 3*s + 18 = 42*z. Solve 5*u + x = 0, z*x + 3*x = -25 for u. 1 Suppose 36 = -11*w + 12*w + 4*a, 114 = 5*w - 2*a. Suppose w*d - 63 = 3*d. Solve y = -5*u - 18, -y - 14 = d*u - 2*y for u. -4 Let n = -2827 + 2867. Solve -181*h = -176*h - 5*x - n, 4*h = -2*x + 20 for h. 6 Let d = -8244 + 8255. Solve 0 = -9*t + 6*t + 3*i - 6, 2*t + 5*i + d = 0 for t. -3 Let u = -4239 + 4276. Solve -3*x + 5*f = -u, -6*x + 11*x + 2*f = 10 for x. 4 Let i(n) = n**3 + 15*n**2 + 27*n + 17. Let s be i(-13). Suppose 0*q - q = -s*q. Let r be (2 - 2) + 1 - -2. Solve -2*y + q*y - r*z - 15 = 0, 4*y = 2*z - 6 for y. -3 Let z be 5 + 3*2/(-3). Suppose -111 = -3*b + 4*r - 88, 29 = b + 4*r. Solve b = 5*v - z*f - f, -2*f = -2*v + 6 for v. 1 Let j(z) = 17*z + 227. Let n be j(-13). Suppose 5*o - n*o - 5 = -3*d, 10 = -5*d - 2*o. Solve -4*a + d*a + 18 = 2*i, -a - 3 = -2*i for i. 3 Suppose 24*b + 6 = 65*b - 38*b. Solve -b*n = 2*d - 2, -4*d - 93 = 3*n - 101 for d. 5 Let o = -2253 - -2279. Solve 0 = 3*t + p - 4 + 19, -o = 5*t + 2*p for t. -4 Let b = -1630 - -1654. Let g = 6 - 4. Solve g*u - b = d - 5*d, 7 = u + d for u. 2 Let l be 3/(-4)*-3*(-72)/(-162)*3. Solve f - 7 = -v, -4*f - l*v + 33 = 9 for f. 3 Let z(f) be the third derivative of f**4/3 - 23*f**3/3 + 28*f**2. Let g be z(8). Solve 3*q = -4*n + g, 2*n + q - 4 = 4 for n. 3 Let a(n) = n**2 + n. Let f(r) = -8*r + 11. Let k(c) = a(c) + f(c). Let p be k(6). Solve 3*v - 2*y - 8 = -y, 0 = p*y - 5 for v. 3 Let u = -46 + 48. Suppose -3*s = a + 4*a, u*a - 5*s = 31. Solve 0 = 5*l - 4*l - 3, -2*t = a*l - 3 for t. -3 Suppose 0 = -3*d + 2*l - 3*l - 37, 0 = 3*d - 5*l + 67. Suppose 2*k - 33 = -1. Let a = k + d. Solve h - 11 = -3*m, a*h = -3 - 5 for m. 5 Let k = -118 - -120. Let l(c) = c**2 - c - 2. Let j be l(k). Solve -y + s = j, -4*s - 2 = -y + 1 for y. -1 Let t be -2*(1 - 15/3) - 3. Suppose -2*s + 6*s - 84 = 0. Let n be 35/10 + (4 - (-25)/(-10)). Solve 0 = a - n*u - s, -t*a + 5*u - 7 = -32 for a. 1 Let a = -11 - -15. Let i = 665 + -669. Let c be 1/2 - 10/i. Solve o + a*h = -2, -o - 5*h - c = -0*h for o. 2 Suppose -822 + 252 = -15*s. Let t = 50 - s. Solve -2*l + 18 = -4*r, -4*l - 2*r = -6*l + t for l. 3 Let p(g) = -g**3 - 6*g**2 + 15*g - 8. Let d be p(-8). Let c(s) = -37*s + 4. Let r be c(d). Solve -13 = -r*i - o, -1 = -2*o + 1 for i. 3 Suppose 0*s + 44 = 3*y + 5*s, 4*y - 3*s = 49. Suppose y*i + 80 = 21*i. Solve -j + 0*j + 1 = 0, 3*d + 4*j = i for d. 2 Suppose -279*u + 65 = -549 - 223. Solve 21 = 4*w - 4*d + 1, -u*w - 5*d = -15 for w. 5 Let g be ((-2)/(-6))/((-1)/(-42)). Suppose -21*d + 84 = -g*d. Solve -12 = -3*z - 3*f, 2*f - 6*f + d = 0 for z. 1 Suppose -5*c = 2*d, 5*c = d - 15 - 0. Suppose -d*n = -3*n. Let v = 3 + n. Solve 2*k = -3*u + 25, 0*k - v*k - 5 = -4*u for u. 5 Let r be (-5)/(-1) - (-2)/6*-213. Let o = 72 + r. Solve m - 5*i = -22, 5*m + 2*i - o*i = -26 for m. -2 Suppose 5*m = m + 16. Let i = 481 - 469. Let k(l) = 2*l**2 - 27*l + 38. Let w be k(i). Solve 13 = t - 6*j + w*j, -m*t - 4*j - 28 = 0 for t. -3 Let v(t) = 19*t - 74. Let o(k) = k**3 + 10*k**2 - 43*k - 48. Let i be o(-13). Let z be v(i). Solve -z*u = s - u + 3, -5*s + 4*u = 15 for s. -3 Let a be (-4)/(-16)*15/((-75)/(-160)). Solve 0 = -4*t - 3*c - 9, 2*c = -7*t + 9*t + a for t. -3 Suppose u - 17 = 4*m + 85, 0 = -5*m + 3*u - 131. Suppose 4*s + 5*b = -60 - 28, 3*b = -4*s - 96. Let z = m - s. Solve z*g - 2*t = 8, -11 + 3 = -3*g + 2*t for g. 0 Let k = -19 + 35. Let u = -13 + k. Solve 2*z + u*s = -0*z + 4, 4*s = -4*z + 4 for z. -1 Let q = 15 + -7. Let i = 358 - 353. Suppose -41*m + 1380 = i*m. Solve -6 = -5*l - f - m, 3*l + q = f for l. -4 Let d = -5408 - -5410. Solve 2*w - d*c + 8 = 0, -c = -5*w + 3*w - 3 for w. 1 Let f(h) = 149*h**2 + 595*h - 1. Let c be f(-4). Solve -2*k + c*g = -10, -5 = 7*k - 8*k + 2*g for k. 5 Let n be (1/(-12))/((-45)/120) - (-992)/72. Solve -76*g + n = -79*g - f, -6 = 3*f for g. -4 Suppose -p = 4*j + 18, 5*p - 33*j - 5 = -34*j. Solve 3*x + 20 - 18 = -d, p*x + 8 = -4*d for x. 0 Suppose 3 = 6*j - 9*j. Let r be j/(-4) + 1/(-4). Suppose r = -6*n + 9*n - 6. Solve 2*w + 5*f - 10 + 1 = 0, -2*f + 6 = n*w for w. 2 Let l(u) = -4*u + 0*u + 3*u + 3 - 3*u - 8*u. Let j be l(0). Solve j*w - 11 = -5*f + 9*f, -3*f - 22 = -5*w for f. 1 Let a(i) = -2*i**3 - 10*i**2 + 6*i + 33. Let f be a(-5). Solve -f*r - 3 = -18, -5*r = -5*u for u. 5 Suppose 2*q = -4*k + 4, -5*q - 4*k + 4 + 6 = 0. Suppose -4*w - 3*r + 57 = -w, 18 = q*w - 3*r. Suppose 28 = 7*o - 7. Solve o*a = 2*a - w, -9 = -4*c + a for c. 1 Let n = 1 + -1. Let a(x) = -3*x**2 + 22*x - 33. Let j be a(5). Suppose n = 3*f + j*f - 3*h - 19, -h = 3. Solve 0 = -g - 5, -4*k - 5*g - 47 = -f for k. -5 Suppose 587 + 1324 = 91*k. Solve -5*x - 4*h + 45 = 0, 3*h - 41 = -x - k for x. 5 Suppose -2*x - 9*x + 3*x = 0. Suppose x = 3*u, -2*u = 4*m - 6*u. Solve -3*j + o = -m*o + 14, 20 = -3*j - 5*o for j. -5 Let n be (3 + (-286)/88)/(2/(-24)). Solve 3*m + 5*v - 6 = -0*m, -2*m = -n*v - 4 for m. 2 Let m(j) = -j**2 - 10*j - 16. Let u be m(-8). Suppose u*p = 2*p - 4. Suppose -11*h + p = -10*h. Solve 0 = 2*y - y - h*i - 2, 0 = -3*y + 4*i + 8 for y. 4 Let t(k) = -7*k**3 - 27*k**2 + 3*k. Let d be t(-4). Let p be ((-105)/30 - 4)*d/(-6). Solve p*g = -4*b + 18, -3*b + 8*b - 18 = -4*g for g. 2 Let f be 1/(-3 + 246/30 + -5). Suppose 2 = -2*u - 5*g, -22 = -5*u + 4*g - 3*g. Solve 0 = u*j - 2*x - x - 6, f*j + 10 = -5*x for j. 0 Let v(u) = -u**3 - 8*u**2 - 5*u + 16. Let y be v(-7). Suppose -8*b = y*t - 4*b - 16, 5*t - 3*b = 53. Solve 5*o - t = 4*w, -3 = -w + 2*o + 2*o for w. -5 Suppose 10*m - 8*m - 12 = 0. Solve 3*a - 8*a = k - 8, -m = k - 2*a for k. -2 Suppose -56*z = 4*n - 59*z - 47, 4*z = -4*n + 40. Suppose n*v + 0 = 55. Solve v*i = -o - 24, -4*i + 5*o + 4 = -0*o for i. -4 Let
{ "pile_set_name": "DM Mathematics" }
= -2*u. Factor -7*n**4 + u*n**5 + 47*n**4 + 16*n**5 + 25*n**3 + 5*n**2. 5*n**2*(n + 1)*(2*n + 1)**2 Let 128/3*a**2 - 2/9*a**5 + 0 - 512/9*a - 8/3*a**4 - 8/9*a**3 = 0. Calculate a. -8, 0, 2 Let d(l) be the first derivative of l**4/2 + 38*l**3 + 840*l**2 + 1568*l - 41. Factor d(g). 2*(g + 1)*(g + 28)**2 Let u = 182/33 - 46/11. Factor 2*a**3 + u*a**2 - 2*a - 4/3. 2*(a - 1)*(a + 1)*(3*a + 2)/3 Let c(l) = -8*l - 2*l**2 - 5 + 4*l**2 - 9*l**2 + 4*l**2. Let j(b) = b**2 + 4*b + 3. Suppose -11 = -3*h + 4. Let n(r) = h*j(r) + 3*c(r). Solve n(a) = 0 for a. -1, 0 Suppose 2*u + 2 = 3*u. Let y(i) = i**2 - i - 2. Let w be y(3). Determine o so that 9*o**3 + 3*o**w - 12*o + 2*o**3 - u*o**3 = 0. -2, 0, 1 Let t(i) be the second derivative of i**4/3 + 4*i**3/3 - 70*i**2 + 311*i. Factor t(r). 4*(r - 5)*(r + 7) Let p(m) be the first derivative of m**3 - 7/8*m**4 - 2/5*m**5 + 7/4*m**2 - m + 24. Suppose p(y) = 0. What is y? -2, -1, 1/4, 1 Suppose -48 = -4*x - 3*d, 4*d + d = 0. Suppose x*z - 10 = 7*z. Let 0 + 0*m - 4/3*m**3 + 2/3*m**z + 2/3*m**4 = 0. Calculate m. 0, 1 Let m(b) be the third derivative of b**8/1050 - b**7/210 + b**6/225 - 2*b**3/3 - 10*b**2. Let y(n) be the first derivative of m(n). Factor y(i). 4*i**2*(i - 2)*(2*i - 1)/5 Let n(y) = -y**3 - 11*y**2 - 60*y - 371. Let k be n(-9). Let h(s) be the first derivative of 0*s**2 + 0*s + k + 3/8*s**4 - s**3. Solve h(u) = 0 for u. 0, 2 Let t be (2 + 20/(-6))*-3 + -2. Let k be 6/(-30) + (-22)/(-10). Let -2*d**2 + 8*d - 3*d**k - 4 + d**t = 0. What is d? 1 Let b(s) be the second derivative of s**4/126 + 22*s**3/21 + 363*s**2/7 + 208*s. Find g, given that b(g) = 0. -33 Let h = 1187/9112 - 6/1139. Let n(v) be the first derivative of -h*v**2 + 0*v - 1/2*v**3 + 7. Find x, given that n(x) = 0. -1/6, 0 Let g(v) be the third derivative of 0*v + 0 + 1/60*v**5 + v**2 + 1/3*v**3 + 1/240*v**6 - 7/48*v**4. Factor g(q). (q - 1)**2*(q + 4)/2 Factor -42/5*t**2 + 1/5*t**5 + 0 + 27/5*t + 2*t**4 + 4/5*t**3. t*(t - 1)**2*(t + 3)*(t + 9)/5 Solve -1/3*l**2 + 1/3 - 1/3*l + 1/3*l**3 = 0 for l. -1, 1 Let a(s) = 5*s**2 - 162*s - 302. Let c(w) = -13*w**2 + 483*w + 906. Let y(g) = 8*a(g) + 3*c(g). Factor y(z). (z + 2)*(z + 151) Let s(u) = -u**3 - 7*u**2 + 10*u + 19. Let t be s(-8). Factor -20*p - 53*p**3 + 2*p**4 + 240*p**2 - 160*p - 12*p**t + 3*p**4. 5*p*(p - 6)**2*(p - 1) Let l(c) be the first derivative of c**8/420 - c**7/105 + c**6/90 - 14*c**3/3 + 10. Let a(x) be the third derivative of l(x). Find s, given that a(s) = 0. 0, 1 Let j(w) be the second derivative of w**6/70 - 24*w**5/35 + 78*w**4/7 - 64*w**3 + 168*w**2 + 237*w. Solve j(t) = 0. 2, 14 Let k(o) be the third derivative of -31*o**6/24 + o**5/6 + 155*o**4/6 - 20*o**3/3 + 491*o**2. Find r, given that k(r) = 0. -2, 2/31, 2 Let x(y) = -2*y**5 + 2*y**4 - y**3 + y**2 + 3*y - 8. Let s(c) = -3*c**5 + 3*c**4 + 3*c - 9. Let g(p) = 5*s(p) - 6*x(p). Factor g(o). -3*(o - 1)**3*(o + 1)**2 Let u(t) be the second derivative of -t**4/12 - 2*t**3/3 + t**2 + 4*t. Let l be u(-4). Factor 3 + 3 + 3*x**l + 0 - 2*x + 11*x. 3*(x + 1)*(x + 2) Let w be -6*(-2)/4 - 1. Solve w + 39*i**2 - 2*i**3 - 31*i**2 + 2 - 10*i = 0. 1, 2 Suppose -19 + 1 = -6*f. Let j(l) be the second derivative of 0*l**4 + 0*l**6 - 1/9*l**f - 1/63*l**7 + 0 + 1/15*l**5 + 0*l**2 + 3*l. What is k in j(k) = 0? -1, 0, 1 Let i(p) be the second derivative of -p**4/4 + 8*p**3 + 51*p. Factor i(a). -3*a*(a - 16) Let b = -3387 + 30491/9. Suppose -22 = -5*t - 2. Determine q, given that 14/9*q**2 + 0 + 26/9*q**t + 2/9*q + b*q**5 + 10/3*q**3 = 0. -1, -1/4, 0 Let c = -820 + 2656/3. Let n = c + -586/9. Determine s so that 0 - 10/9*s**4 - n*s**3 + 2/3*s**5 + 10/9*s**2 - 4/9*s = 0. -1, 0, 2/3, 1 Let p = 87 + -82. Suppose 93 + 152 + 60*z + p*z**2 + 10*z = 0. What is z? -7 Suppose -2*p + 3*p + 100 = 4*y, -4*p - 25 = -y. Find q such that 2*q**3 + y*q**4 - q - q - 23*q**4 - 2*q**2 = 0. -1, 0, 1 Let a(s) be the second derivative of -s**5/10 - 4*s**4/15 + 44*s**3/15 - 16*s**2/5 - 120*s. Factor a(u). -2*(u - 2)*(u + 4)*(5*u - 2)/5 Let d(p) be the third derivative of -1/3*p**5 + 0*p - 40*p**2 + 0*p**4 + 0 + 5/6*p**3. Factor d(s). -5*(2*s - 1)*(2*s + 1) Suppose 2*u - 67 = -19. Determine g so that -11*g**4 + u*g**4 - 15*g**4 - 6*g**3 + 8*g = 0. -2, 0, 1 Let n(v) be the first derivative of 11*v**7/420 - 37*v**6/360 - 2*v**5/15 + v**4/6 + 10*v**3/3 - 5. Let y(a) be the third derivative of n(a). Factor y(o). (o - 2)*(2*o + 1)*(11*o - 2) Let d be (-10)/6 + ((-51)/(-9))/1. Factor 1/2 + 5*w**2 + 1/2*w**5 + 5*w**3 + 5/2*w + 5/2*w**d. (w + 1)**5/2 Suppose -3*u = 4*w + 12, -3*u + u = 2*w + 8. Let k = -2 - u. What is m in 11*m**3 + 8*m**2 - k*m - 2*m**5 - 38*m**3 + 15*m**3 + 8*m**4 = 0? 0, 1 Let a = 892 + -892. Let p(c) be the third derivative of 0 + 0*c + c**2 + 1/16*c**4 - 1/120*c**5 + a*c**3. Factor p(y). -y*(y - 3)/2 Let l(n) be the third derivative of -n**6/120 + 83*n**5/20 - 6889*n**4/8 + 571787*n**3/6 - 385*n**2. Factor l(b). -(b - 83)**3 Let q = 402 + -8437/21. Let y(p) be the third derivative of q*p**7 + 0*p**3 + 0 + 1/3*p**4 + 0*p + 4/5*p**5 + 3/4*p**6 - 4*p**2. Suppose y(v) = 0. What is v? -1, -2/5, 0 Factor -19/4*s**3 - 7/4*s**4 - 4*s - 1 - 25/4*s**2 - 1/4*s**5. -(s + 1)**3*(s + 2)**2/4 Let s(h) = -h**3 - 7*h + 1. Let z(y) = 4*y**3 - 184*y**2 + 726*y - 706. Let f(q) = -4*s(q) - 2*z(q). Solve f(u) = 0. 2, 88 Let w(q) be the second derivative of 3*q**7/14 + 2*q**6/5 + 3*q**5/20 - q - 25. Find z, given that w(z) = 0. -1, -1/3, 0 Let k(x) be the third derivative of -x**6/30 - 4*x**5/15 + 8*x**4/3 + 128*x**3/3 + 3*x**2 - 30*x. Let k(s) = 0. What is s? -4, 4 Find z, given that 6*z**3 + 4*z**3 - 42*z**2 + 59 - 106*z + 6*z**4 - 119 + 0*z**3 = 0. -2, -5/3, -1, 3 Let m(k) be the third derivative of k**8/168 - 59*k**7/105 + 191*k**6/12 - 2521*k**5/30 + 602*k**4/3 - 784*k**3/3 - 26*k**2. Solve m(i) = 0 for i. 1, 28 Factor -50/19 - 2/19*s**2 - 52/19*s. -2*(s + 1)*(s + 25)/19 Let a(l) be the first derivative of 4/3*l**3 - 4*l**2 + 4*l - 12. Let a(x) = 0. What is x? 1 Let g be (942/38151)/(1/18) + (-4)/9. Let h = -1 + 3. Find m, given that 27/7*m + 3/7*m**3 - 18/7*m**h + g = 0. 0, 3 Let i(d) = -30*d**2 - 261*d - 49. Let o(y) = 3*y**2 + y - 1. Let z(g) = 2*i(g) + 14*o(g). Suppose z(a) = 0. What is a? -28, -2/9 Determine o, given that -5/6*o**4 - 7/6*o**3 + 0*o + 0 - 1/6*o**5 - 1/2*o**2 = 0. -3, -1, 0 Factor -230*r + 4*r**2 + 4356 + 94*r - 128*r. 4*(r - 33)**2 Let n(t) be the second derivative of t**6/30 + 4*t**5/15 + 2*t**4/3 - 19*t**2 + 39*t. Let w(s) be the first derivative of n(s). Factor w(f). 4*f*(f + 2)**2 Let x(n) be the third derivative of n**4 + 8*n**2 + 1/12*n**6 + 0*n + 0 - 8/3*n**3 + 3/5*n**5. Factor x(b). 2*(b + 2)**2*(5*b - 2) Let z(x) be the second derivative of 1/150*x**6 + 1/5*x**2 - 1/100*x**5 + 1/30*x**3 - x + 0 - 1/20*x**4. Factor z(m). (m - 2)*(m - 1)*(m + 1)**2/5 Let r = 1/3645 + 233273/25515. Suppose 64*a + 928/7*a**2 - 1100/7*a**4 - 500/7*a**5 + r + 160/7*a**3 = 0. Calculate a. -2, -2/5, 1 Let b(o) be the first derivative of 2*o**5/5 + 125*o**4 + 13776*o**3 + 550368*o**2 - 2370816*o - 193. Solve b(w) = 0 for w. -84, 2 Suppose 55*w = 61*w + 4*s - 4, 0 = -2*w + 4*s - 4. Determine t, given that -2/5*t**3 + 2/5*t**2 + 4/5*t + w = 0. -1, 0, 2 Let w(x) = 5*x**3 + 10*x**2 + 93*x + 74. Let q(i) = 3*i**3 + 4*i**2 + 47*i + 38. Let l(n) = -7*q(n) + 4*w(n). Factor l(b). -(b - 15)*(b + 1)*(b + 2) Determine t so that -2/3*t**2 - 50/3 + 20/3*t = 0. 5 Let w(a) be the first derivative of 3*a**4/28 + a**3/7 - 49. Factor w(p). 3*p**2*(p + 1)/7 Factor -40/7*v - 6 + 2/7*v**2. 2*(v - 21)*(v + 1)/7 Let l(o) be the second derivative of -o**5/10 + 13*o**4/6 - 55*o**3/3 + 75*o**2 + 96*o. Factor l(c). -2*(c - 5)**2*(c - 3) Let z = 113 - 110. Factor 6*u - 45 + 25*u**2 + 109*u**3 + 9*u - 104*u**z. 5*(u - 1)*(u + 3)**2 Let y be (-128)/(-644) - 4/(-46). Solve -y*u**2 - 2/7*u + 4/7 = 0. -2, 1 Let g(h) be the third derivative of -h**8/672 - h**7/210 + h**6/80 - 72*h**2. Factor g(u). -u**3*(u - 1)*(u + 3)/2 Let t be -13 - (-4 - (3 + -10)). Let i be 1*3 - (t + 16). Factor -1/2*m**2 - 1/4*m**i - 1/4*m + 0. -m*(m + 1)**2/4 Let p be (-3)/(-2)*(-22)/33. Let s be (-1 + -1 - p) + 66/30. Determine r so that s*r**3 + 0*r**2 - 2/5*r + 0 + 4/5*r**4 = 0. -1, 0, 1/2 Let z(p) = -p**3 - 53*p**2 - 4
{ "pile_set_name": "DM Mathematics" }
= -4 for z. -1 Let k = -60 + 65. Suppose k*u = -c - 4, 2*c = 5*c + 3*u. Solve -2*v + 3 + c = 0 for v. 2 Let f(d) = d**2 - 6*d + 2. Let j(n) = -n**2 - 11*n - 12. Let y be j(-9). Let o be f(y). Solve -o*h = 3*h - 10 for h. 2 Let z(j) = -j**2 + 38*j - 345. Let r be z(15). Solve r*u = -u - 2 for u. -2 Let u = -4 + -2. Let a = -6 - u. Solve a*p = 4*p + 16 for p. -4 Suppose -62 = 3*s + 10. Let k be (-18)/s + (77/4 - 0). Solve k + 0 = -4*l for l. -5 Suppose 3*b + 4 - 1 = 0. Let j(f) = -5*f**3 - f - 1. Let g be j(b). Suppose g*a + 27 = 77. Solve 2*n - 2 = -a for n. -4 Suppose -15 = -f - 3*t, -3*f - 3*t - 12 + 33 = 0. Solve -f*k + 4*k + 4 = 0 for k. -4 Let x(t) = -25*t + 1. Let b be x(-1). Suppose -7*f + 4*f = 2*o + 10, -5*f = 20. Solve b = -5*z + o for z. -5 Let r = 58 + -55. Let a be 172/42*r - (-4)/(-14). Solve -2*m - a = m for m. -4 Suppose 4*c + 7 - 67 = 0. Suppose -o - 2*o = -c. Solve -12 = o*f - 2*f for f. -4 Suppose -y - 3 = 24. Let i be y/(-4) + (-16)/(-64). Solve -2*m + 25 = -i*m for m. -5 Let c be -1*(-2)/(-8) - 99/(-12). Suppose -3*j + c*s + 30 = 3*s, 5*j - 63 = 4*s. Solve -y = 2*y + j for y. -5 Suppose 4*d - 132 = -5*b, 0 = 4*b - 3*d - 120 + 33. Solve b = -9*n + 3*n for n. -4 Let j = -66 + 77. Solve -7*b - j - 10 = 0 for b. -3 Let m(z) = -11*z - 110. Let b be m(-10). Solve b = -9*u + 2*u + 7 for u. 1 Let a(o) = 2*o**2 + 11*o - 3. Let q be a(-6). Suppose q = 4*u - u. Suppose 5*b - 2*y - 15 = 3*y, 5*b - 15 = -3*y. Solve b*j - u = -16 for j. -5 Let h = -88 - -147. Let d = h - 55. Suppose y - w = 10, 5*y - 6*w = -4*w + 35. Solve d*u - 17 = -y for u. 3 Suppose -3*u = -2 + 11. Let o be (-23)/(-3) - u/9. Suppose -34*a = -28*a. Solve 2*k = -a*k - o for k. -4 Suppose -102*r - 18 = -111*r. Solve r*l + 5 = 13 for l. 4 Let y(s) = -s. Let b(n) = -12*n + 34. Let v(f) = -b(f) + y(f). Let i be v(4). Solve i + 2 = -4*x for x. -3 Let z(b) = 2*b + 8. Let k be z(14). Suppose -d = d - k. Let o = -17 + d. Solve s + o - 2 = 0 for s. 1 Let c = 6 - 4. Let n = -27 + 47. Solve n = c*b + 2*b for b. 5 Suppose 0 = c - 2*b + 10, 4*c - 6*b + 2*b + 20 = 0. Suppose 3*l + 24 = 4*l. Suppose 7 = -k - 3*f + l, 2*k + f - 9 = 0. Solve c = y + k*y for y. 0 Let a = 57 + -54. Suppose 3*v = 6*v - 6. Let n be -2*(2 - 17/v). Solve a = -2*b + n for b. 5 Suppose n + 69 = 4*w, -8*n = -3*w - 4*n + 68. Let t = 16 - 8. Suppose -12*l + t*l = -w. Solve 9 = -x + l*x for x. 3 Let c be 14/6 - 2/(-3). Let q(b) = -b**3 - 5*b**2 + 4*b - 4. Let k be q(-6). Let a = 32 + -32. Solve a = t + c*t + k for t. -2 Suppose -p - 3 = -2*p. Let l = -56 - -40. Let i = l - -28. Solve i = -p*f - 0 for f. -4 Let z(s) = -45*s - 257. Let q be z(-6). Solve -q*b = -11*b - 6 for b. 3 Suppose -g + 5*d - 12 - 2 = 0, 4*d = 20. Let c be (g/22)/(1/(-4)). Let z be (-20)/(-15)*(-9)/c. Solve 2*n = z + 2 for n. 4 Suppose 7 = g + 14. Let p(a) = -2*a**3 - 14*a**2 - 3*a - 6. Let f be p(g). Solve -l = 2*l - f for l. 5 Suppose -h - 4*o + 180 = 180, -3*h = -3*o. Suppose -21 = -2*k - 9. Solve 8*w - 5*w - k = h for w. 2 Suppose 672*q - 680*q = -32. Solve -8*o + 8 = -q*o for o. 2 Let t(w) = -w**3 + 7*w**2 - w + 6. Let y be t(7). Let i be ((-64)/20)/(y/15). Let q = i - 23. Solve -6*r + r = -q for r. 5 Let s = 428 - 407. Solve 18*k - s*k = -15 for k. 5 Suppose 11*i = 2093 - 1906. Solve i = 10*z - 3 for z. 2 Let j(g) be the third derivative of g**4/24 - 2*g**3/3 - 18*g**2. Let l be j(9). Solve s = l*s - 4 for s. 1 Suppose -3*n + 4 = -8. Let l be n - (-15)/(-3) - (0 - 1). Solve l = -d - d - 10 for d. -5 Suppose 4*f - 7 - 13 = 0. Let n(x) = 595*x**3 + x**2 - 4*x + 2. Let t be n(1). Let p be 2/(-5) + t/135. Solve f*j - p*j = 2 for j. 2 Suppose 8*x + 119 = 15. Let q(y) = -y - 9. Let b be q(x). Solve 0 = h - 0 + b for h. -4 Let p be 0 + (-4)/(-2) + 1. Suppose 3*i + u = -2*i + 10, -6 = -p*i + 5*u. Suppose -2 = -g + 2*o, g + 5*o + 17 = 47. Solve 0 = 2*l + i - g for l. 4 Suppose 3*u = -2*i + 2, 20*u + 5*i + 45 = 25*u. Solve 6 + 6 = u*l for l. 3 Let f(h) = -h**2 - 5*h - 3. Let p be f(-9). Let o = p + 45. Solve 4*y + 8 = o*y for y. 4 Let c = 122 - 122. Suppose 2*j - 4*b - 32 = c, 5*b + 1 = -4*j - 0. Solve 8*g - 6 = j*g for g. 3 Let f = -452 - -483. Solve 5*p = -f + 6 for p. -5 Let t = 26 - 55. Let j = t - -29. Suppose j = 2*q + 2*q - 12. Solve q*w = -w + 8 for w. 2 Suppose 0 = a + 4 - 10. Suppose 7*j - 25 = a*j. Solve 5*l - j = -5 for l. 4 Suppose -350*k + 339*k + 1441 = 0. Solve 128*d - 6 = k*d for d. -2 Let u = 6 + -2. Suppose 8 = -4*k + u. Let x be ((-6)/10)/(k/5). Solve x*d + 3 = -3 for d. -2 Let m be 16/(12/3) + -74. Let f = m - -70. Solve f*c = -4*c - 16 for c. -4 Let a = -49 + 43. Let v be a/2*5/15*-5. Let c(q) = -q + 7. Let r be c(0). Solve -v*z = 2 - r for z. 1 Let v(a) be the first derivative of -7*a**2/2 + 36*a - 8. Let i be v(5). Solve 0*n + i = -n for n. -1 Let s(z) = -17*z**2 - 2 + 5 - 2 + z**3 + 3. Let k be s(17). Solve 0 = 2*n - 4*n + k for n. 2 Let n(b) = 2*b - 5 - b + 0*b. Let d be n(5). Let x be (0 - d) + 4 + 0. Solve -m + x = -1 for m. 5 Suppose i = -0*i + 5*t + 33, 5*i + 2*t = 138. Solve -11*f = -17 + i for f. -1 Suppose 9*l - 110 = -2*l. Solve -l = -76*r + 74*r for r. 5 Let j(s) = -5*s + 53. Let k be j(9). Solve k*f = 3*f + 15 for f. 3 Let t be (-2 - 1)/(1/((-2)/2)). Suppose 14*n = 17*n - t. Solve 5*f - n = 9 for f. 2 Let j(s) be the second derivative of 3*s**2 - s + 1/12*s**4 + 4/3*s**3 + 0. Let m be j(-8). Solve 5*r + m = 31 for r. 5 Let f = -30 - -24. Let t be ((-3)/(f/2))/(4/8). Solve 4 + 4 = -t*o for o. -4 Let d be (-78)/(-65) - 1/5. Let y be 2/8 - (-15)/4. Solve -d + 17 = y*p for p. 4 Let n be (4 + (-36)/8)/((-3)/12). Let c be (-1 - (0 - 0))*(-4)/n. Solve 0 = -c*f + 6 - 0 for f. 3 Let q(i) = -9*i - 9. Let f be q(-7). Suppose 18 = -9*g + f. Solve g*c - 25 = -5 for c. 5 Suppose -9*n - 10 = -14*n. Let k be (4/(-8))/(1/(-26)). Suppose 0 = 16*z - k*z - 6. Solve -20 = -n*u - z*u for u. 5 Let v(u) = 3*u - 17. Let p be v(7). Suppose -p*c - 12 + 24 = 0. Solve -c*j = -11 - 4 for j. 5 Suppose 0 = 3*b + 11 - 32. Solve -l + 2 = b for l. -5 Let g(b) = b**2 + 54*b - 321. Let f be g(6). Solve -f + 19 = 4*d for d. -5 Suppose -3*l = -8*l + 55. Suppose 0 = 2*c + 9 - l. Solve -4*q - c = -9 for q. 2 Let l(b) be the third derivative of -b**6/120 + b**5/15 - b**4/24 + b**3/6 + 2*b**2. Let c be l(2). Suppose c = 5*k + 2. Solve 5*a + k + 4 = 0 for a. -1 Let k(b) = 2*b - 23. Let h(t) = -4*t - 19. Let j be h(-8). Let m be k(j). Solve -m*o - 4 = 2 for o. -2 Suppose -5*x - 2*y + 89 = -96, 4*x - 131 = -5*y. Suppose -a - 2 = 3*d, d - x + 13 = 5*a. Solve s + 4 = -d for s. -5 Suppose 4*c - 3*l - 14 = -l, -16 = -4*c + 4*l. Let g be c*((-3)/9 + 1). Suppose -5*t + 42 + 20 = 4*d, 0 = 2*t - g*d - 32. Solve -2*k + t - 6 = 0 for k. 4 Let a = -1771 - -1783. Solve 29 = -a*u + 5 for u. -2 Let g be 2/(2 + 4/(-4)). Suppose 0 = -c + 7 + 1. Solve g - c = 3*d for d. -2 Suppose 29*b - 8 = 28*b + m, -2*m - 9 = -b. Solve b = -z + 3 for z. -4 Let d(c) = -4*c + 8. Let o be d(1). Solve -o*m = -8*m + 16 for m. 4 Let l be (0*7/(-42))/(-2). Suppose 0*p - p + 13 = -4*n, 4*n = 4*p - 16. Solve -f - p = -l*f for f. -1 Suppose t - 25 = 4*m, -t - 4*m = -5*t + 40. Suppose -2*q = -t*i - 9, -3*i + 8 = -4*q + 19. Suppose 9 = 5*v + 2*f - 1, 2*v + 25 = 5*f. Solve -2 + v = -q*a for a. 1 Let l(o) = 5*o + 40. Let d(a) = 9*a + 80. Let v(r) = 3*d(r) - 7*l(r). Let x be v(-5). Solve 3*n = -x*n + 15 for n. 5 Suppose -43 = 9*k - 14*k - 4*c, 0 = c + 3. Solve 0 - 33 = k*v for v. -3 Suppose 16*w = -4 + 52. Solve -8*q + 5 = -w*q for q. 1 Let w = -528 + 534. Solve -w*u = u - 35 for u. 5 Suppose -j - 8 = -2*j - 3*y, 2*y = 4*j - 4. Suppose j*r + 12 = 4*r. Solve a = r*a for a. 0 Let m be (62/4)/((-5)/(-20)). Let w be 4/(-12) - m/(-6). Let d = 13 + -13. Solve -5*v + 0 - w = d for v. -2 Suppose -152*m = -149*m - 57. Solve m - 9 = -5*y for y. -2 Suppose -5*f + 6*l + 30 = 7*l, f + 15 = 4*l. Solve 5 = 10*q - f*q for q. 1 Let v(u) = 11*u**2 + 8*u - 8. Let w be v(2). Solve -32 = 4*q - w for q. 5 Let k(z) = -z**2 - 25*z - 126. Let a be k(-12). Solve -8*m - a = 2 for m. -4 Let o = 2710 - 2707. Solve -7 + o = m for m. -4 Let t(h) = -h**3 + 56*h**2 - 111*h + 182. Let k be t(54). Solve -11*d + 16*d = -k for d. -4 Let s(c) = -14*c + 418. Let v be s(27). Solve -m - v = 9*m for m. -4 Let k(u) be the first derivative
{ "pile_set_name": "DM Mathematics" }
16/33 != -1? True Which is smaller: -24439 or 0? -24439 Is 49 bigger than 1? True Which is greater: -1174/61 or -20? -1174/61 Are -2/49 and -1/3 equal? False Is -142/5 at most 0.1? True Is 0 greater than 1/2399? False Which is smaller: -44 or -45? -45 Is 1378 less than 1381? True Is 0 at most as big as 9/1882? True Which is greater: -11178 or -11177? -11177 Is -46 at most 11? True Which is greater: -115 or -1? -1 Is 2134/29 less than or equal to 73? False Which is smaller: 61 or 258? 61 Which is greater: -161 or -189? -161 Which is smaller: 49/26 or 3? 49/26 Is 979 < 979? False Are -2 and -13/5 equal? False Do -24 and -25 have the same value? False Which is smaller: -1 or 759? -1 Is -316 at least as big as 3? False Is 571 equal to 571? True Is 44508 < 0? False Which is smaller: -89 or -88? -89 Which is bigger: -1/4 or 29? 29 Is 0.186 at least 6? False Are -472 and -473 equal? False Which is bigger: 357 or 356? 357 Which is greater: -82 or 10? 10 Is 0 <= -10/119? False Which is bigger: 61/4 or 16? 16 Which is smaller: 14/13 or 0? 0 Which is greater: -10/17 or 3? 3 Is 0.12 <= 7? True Which is smaller: -19331 or -19330? -19331 Which is smaller: -3/148 or 0? -3/148 Which is bigger: -49 or -18? -18 Are 265 and 8 nonequal? True Are 3/8 and 0.0691 equal? False Is -29/181 at most as big as 0? True Which is greater: 11 or 7? 11 Which is bigger: 1 or -3/122? 1 Which is bigger: -91 or -92? -91 Which is greater: -1 or 3/1480? 3/1480 Which is bigger: -7 or -6? -6 Is 2/431 >= -1? True Which is bigger: 2039 or 2055? 2055 Is -2/7 bigger than -74? True Which is bigger: -2/75463 or 0? 0 Are 57 and 63 equal? False Which is greater: 1 or -2/281? 1 Does 1/91 = 0? False Do 5 and -2.19 have the same value? False Which is greater: 1 or -2/237? 1 Which is smaller: -7 or -20? -20 Is 8 bigger than -0.13? True Which is greater: 2/5 or 382? 382 Which is greater: -2246 or -2248? -2246 Which is smaller: -1 or -45/86? -1 Is 4 >= 259? False Is -2503 < -2503? False Which is bigger: -6/521 or -1? -6/521 Is 16125 less than 16125? False Which is smaller: -396 or -2? -396 Which is smaller: -20 or -138/7? -20 Is 0 at most as big as 78/1463? True Which is smaller: 11 or -81? -81 Are -58 and -59 equal? False Is -209 > -3/2? False Which is greater: 1 or -14/325? 1 Are 0.2 and -6.574 nonequal? True Is 10.98 not equal to -1? True Which is greater: -1 or -29052? -1 Is -0.3 smaller than 7/172? True Which is greater: 1 or 6/287? 1 Which is bigger: -15/49 or 1? 1 Is -572 at most as big as -571? True Is 381 at most 381? True Which is greater: -720 or -7/5? -7/5 Is -2/269 < -15? False Which is bigger: 0.1225 or 0? 0.1225 Which is smaller: 134 or 673/5? 134 Which is greater: 1000 or 1009? 1009 Which is smaller: 5 or 4? 4 Which is smaller: 1/36 or -2? -2 Which is bigger: -72 or -110? -72 Which is bigger: -0.858 or 2? 2 Is -3/251 less than or equal to -1? False Which is smaller: 6 or 74/15? 74/15 Do 1540 and 1540 have different values? False Which is smaller: -26/2083 or -1? -1 Is 3800 greater than 3799? True Is -786 at least as big as 0.19? False Is 23 >= 217/10? True Is -0.05 >= -23/44? True Is -30 at least -21? False Which is smaller: -2/189 or -9? -9 Is -52/11 >= -5? True Is 12 smaller than -0.04? False Which is smaller: 0.09 or 19? 0.09 Which is smaller: 1/26 or 0.2? 1/26 Which is bigger: -2/637 or 1? 1 Is -155 equal to -155? True Which is smaller: -753/49 or -16? -16 Is -3945 at least as big as -3946? True Which is greater: -5 or -390/73? -5 Are 0 and -14/33 unequal? True Is -299 equal to -1/4? False Is 4951 < 1? False Is 6/77 greater than or equal to 1? False Is 7 less than or equal to 18? True Which is bigger: -2/7701 or -1? -2/7701 Which is bigger: -18 or -214/11? -18 Which is bigger: 236/41 or 7? 7 Is 2/45 >= 1? False Which is smaller: -1299 or 0? -1299 Is -19/396 >= 1? False Is -10 less than -0.053? True Which is bigger: 2/279 or 0.3? 0.3 Is -1752 less than -5254/3? True Do 4/1053 and 0 have the same value? False Which is smaller: 3/53146 or -1? -1 Is 4 < -135? False Are -4736 and -4736 unequal? False Which is bigger: 35 or 53? 53 Is 877 at least 877? True Is -163 bigger than -211? True Which is smaller: -1 or -3/979? -1 Which is bigger: 1/3 or -1226? 1/3 Which is smaller: 4014 or 4013? 4013 Which is smaller: -23/15 or -1? -23/15 Which is smaller: 148 or 142? 142 Which is smaller: 2/87 or 0.227? 2/87 Is -142 at most as big as -1135/8? True Which is greater: -2/5 or 794? 794 Do 19/191 and -1 have different values? True Is -331 less than -332? False Which is bigger: 0 or -1/3845? 0 Do -1 and -50/207 have the same value? False Is 3/3760 >= 0? True Which is smaller: -1297/4 or -323? -1297/4 Which is smaller: 1 or -4/25? -4/25 Are -116 and -2640/23 unequal? True Which is greater: -2888 or -2887? -2887 Is 0.06 < -27? False Which is smaller: -1464 or -1461? -1464 Is 0 less than -3/352? False Does -46 = -92? False Is 865/2 smaller than 434? True Which is greater: 1 or 23/58? 1 Is -1/25441 < 0? True Which is greater: 1/2 or -1965? 1/2 Which is smaller: -1/3 or -6/577? -1/3 Which is smaller: 78/11 or 6? 6 Which is smaller: 20 or 5? 5 Which is smaller: -377 or -380? -380 Is 0 > 78/203? False Which is smaller: -1 or 1/3136? -1 Is 1/3 greater than or equal to -50? True Does -353 = -351? False Which is smaller: -5/3 or -32? -32 Which is smaller: 0.844 or 0? 0 Is -1 equal to -52/17? False Which is greater: -5 or 39? 39 Which is greater: 13 or 14? 14 Is -105 greater than or equal to -37/2? False Are 177 and -4 non-equal? True Which is smaller: 0 or -5/121? -5/121 Is 44 bigger than -6? True Which is smaller: 2742 or 2743? 2742 Is -129 at least as big as -127? False Is -134.5 at least -0.03? False Is -66 >= -63? False Are -334 and -326 equal? False Is -198 < -226? False Is -1/1361 >= 1? False Is -1 != -26/11? True Do 3247/7 and 465 have different values? True Is -1 less than 24/1681? True Is -1 at most as big as -3? False Is 3280 less than 3280? False Which is greater: -23413 or 0? 0 Is -221 < -219? True Are -2348 and -2346 equal? False Which is smaller: 102 or 1320/13? 1320/13 Is -0.04 less than -280? False Which is smaller: -2/7483 or 0? -2/7483 Which is smaller: -1 or 2/5? -1 Is 1289/2 >= 645? False Which is smaller: -78/313 or 1? -78/313 Is 5/9 smaller than -15? False Is 462/31 smaller than 14? False Which is greater: -7868 or -7870? -7868 Which is bigger: -552 or 0? 0 Is -2 less than or equal to -31/27? True Is -1267/2 >= -633? False Which is greater: 6 or 129/20? 129/20 Which is smaller: 34/45 or 3? 34/45 Is -1/5376 less than or equal to -1? False Is 3/125 not equal to 1? True Which is greater: 17/3 or 784? 784 Which is greater: 67 or 44? 67 Which is smaller: 7 or 71/12? 71/12 Which is greater: -48/37 or -2? -48/37 Is 0 equal to 63? False Does -970 = 6? False Which is smaller: -24 or 0? -24 Which is greater: 2176 or 2169? 2176 Is -1 > -26/1659? False Which is greater: -277 or -278? -277 Is 804 at most as big as 802? False Are -1 and -1/1284 equal? False Is -1763 >= -1763? True Which is bigger: 133.4 or 0.4? 133.4 Is -11.5 smaller than -0.9? True Which is smaller: -5 or -118? -118 Is -1 at most -32/77? True Which is smaller: 2077 or -4? -4 Which is smaller: -273/2 or -136? -273/2 Which is greater: -8 or -162/23? -162/23 Which is greater: 950 or 0? 950 Is -78 greater than -59? False Do -2/457 and -1 have different values? True Are 1 and -3/9037 unequal? True Are -2980 and 0.02 equal? False Is 3135 at most as big as 3134? False Which is smaller: 15456 or 15457? 15456 Which is smaller: -403 or 0? -403 Are 0.1 and 451 non-equal? True Which is smaller: 219 or 217? 217 Which is greater: -49 or -93? -49 Which is smaller: -5/2782 or 1? -5/2782 Which is smaller: 1 or -2/23? -2/23 Is -0.43 bigger than 0.1? False Which is greater: -13 or -11/4? -11/4 Is 1.275 at most -0.1? False Are -163/9 and 3/2 equal? False Which is smaller: 16/65 or 1? 16/65 Is -2797/3 at most as big as -933? False Is -6/191 < 0? True Is 288/19 bigger than 16? False Which is bigger: -256 or 1.74? 1.74 Is -1492 not equal to -1491? True Is -109 < -5/4? True Are -19 and -19 equal? True Is -2 bigger than -43/56? False Are 2/7 and -84/19 equal? False Which is smaller: -1/3150 or -1? -1 Which is bigger: 369 or -3? 369 Is -0.8 not equal to
{ "pile_set_name": "DM Mathematics" }
0 - d**2/10 - 12*d/5 + 140. Let p(w) = 0. What is w? -4, 6 Let w = 25 - 25. Suppose 3*n + n + 2*y = 10, -5*n - y + 11 = w. Suppose 16*x - 9 - n*x**2 - 2*x**2 - 7 = 0. What is x? 2 Let a(d) = d**3 + 11*d**2 + 31*d + 24. Let q be a(-7). Let s be (2 + -1)*(-10 + 10). Suppose s*f - 1/2*f**q + 0 - 1/6*f**4 - 1/3*f**2 = 0. What is f? -2, -1, 0 Suppose -3*r + 12 = -3*a, -r - 12*a = -15*a - 8. Factor -2/5*k**r + 0 - 4/5*k. -2*k*(k + 2)/5 Let g = 17174/13 - 1320. Factor 2/13*x + 0 + g*x**2. 2*x*(7*x + 1)/13 Suppose 2*g + 6 = 22. Suppose -2*k = g, 12 + 15 = 3*s - 3*k. Factor p**5 - s + p**4 + p**3 + 5 + p**4. p**3*(p + 1)**2 Let z be -1 + 4 + (-1)/(-1). Suppose 10 = g + z*g. Factor 0*m - 2*m + 0*m**g + m**2 + m**3. m*(m - 1)*(m + 2) Let f(r) be the first derivative of r**7/210 + r**6/30 + r**5/20 - r**4/6 - 2*r**3/3 - r**2 - 7. Let v(y) be the second derivative of f(y). Factor v(m). (m - 1)*(m + 1)*(m + 2)**2 Factor 8*d**3 + 72527*d**2 - 8*d**4 - 72527*d**2 + 2*d**5. 2*d**3*(d - 2)**2 Let b = 71 + -67. Let f be 7/(-1) + (-828)/(-84). Factor b*x - f*x**2 - 8/7. -4*(x - 1)*(5*x - 2)/7 Let l(q) be the first derivative of -2*q**3/21 - 72*q**2/7 - 2592*q/7 - 120. Suppose l(f) = 0. Calculate f. -36 Let s(l) be the second derivative of 0 + 0*l**2 + 0*l**4 - 30*l + 1/6*l**3 - 3/20*l**6 - 5/168*l**7 - 17/80*l**5. Find c, given that s(c) = 0. -2, -1, 0, 2/5 Let k(l) be the second derivative of 5*l**4/12 - 20*l**3/3 + 40*l**2 + 349*l. Suppose k(r) = 0. Calculate r. 4 Let r be 876/357 - (-29 + (-9820)/(-340)). Let 8/7 + 2/7*n**3 + 12/7*n**2 + r*n = 0. What is n? -4, -1 Let z(j) be the first derivative of j**4/12 + 5*j**3/9 + 7*j**2/6 + j - 40. Suppose z(g) = 0. Calculate g. -3, -1 Let g(i) be the third derivative of -i**8/168 + 4*i**7/35 - 13*i**6/15 + 16*i**5/5 - 16*i**4/3 + 11*i**2 - 7. Find y such that g(y) = 0. 0, 2, 4 Factor 1 - 1/6*k - 1/6*k**2. -(k - 2)*(k + 3)/6 Let a(w) be the first derivative of -8/9*w**3 + 7/9*w**6 - 13 + 4/3*w**4 + 38/15*w**5 + 0*w + 0*w**2. Let a(c) = 0. What is c? -2, -1, 0, 2/7 Let z(y) be the third derivative of 0*y + 0*y**7 + 0*y**4 - 3/80*y**6 + 0 - 5*y**2 + 0*y**3 + 1/224*y**8 + 1/20*y**5. Determine u, given that z(u) = 0. -2, 0, 1 Find p, given that 210*p + 56*p - 400 + 14*p - 49*p**2 = 0. 20/7 Let z = -19 + 27. Let o = z + 11. Find p such that 2*p**2 + 2*p**5 + p**4 - 5*p**3 + 8 + o*p**3 - 11*p**4 - 16*p = 0. -1, 1, 2 Let v(b) be the first derivative of 2/3*b**5 + 1/9*b**4 - 46/27*b**3 + 16/9*b + 39 - 2/9*b**2. Find o such that v(o) = 0. -1, -4/5, 2/3, 1 Let n be -8 + (-816)/(-104) + (-296)/(-572). Factor 0*f + 0 + n*f**3 + 0*f**2 + 2/11*f**4. 2*f**3*(f + 2)/11 Suppose -x + 8 = 4*f + 4, 0 = -4*x + 2*f - 2. Let c(j) = -j**2 + 5*j + 2. Let a be c(5). Factor -1/3*r**a + x*r + 4/3. -(r - 2)*(r + 2)/3 Let m(l) be the second derivative of l**4/16 + 5*l**3/4 + 75*l**2/8 - 21*l - 1. Factor m(u). 3*(u + 5)**2/4 Let y(s) = 69*s**2 - 39*s. Let z(b) = -17*b**2 + 10*b. Suppose 5*u - 4 = 6*u. Let x(w) = u*y(w) - 15*z(w). Factor x(h). -3*h*(7*h - 2) Suppose 0 = -5*x - 4*n - 272, x = 4*x + 3*n + 165. Let g be (0 - 3)/(78/x). Factor 3/4*c**4 + 0 - 3/4*c**g + 0*c - 3/4*c**5 + 3/4*c**3. -3*c**2*(c - 1)**2*(c + 1)/4 Let x(k) be the third derivative of -1/16*k**4 + 0*k + 0 - 3/8*k**5 - 1/20*k**7 - 17*k**2 + 1/2*k**3 - 19/80*k**6. Factor x(v). -3*(v + 1)**3*(7*v - 2)/2 Find n such that -22*n**4 - 4 - 26*n + 18*n**4 + 19*n + 6 - 12*n**5 + 17*n**3 = 0. -1, 1/2, 2/3 Let c(p) be the second derivative of 2*p**7/35 - 9*p**6/40 + p**5/10 + 21*p**2 - 37*p. Let l(f) be the first derivative of c(f). Factor l(h). 3*h**2*(h - 2)*(4*h - 1) Solve -186*i**2 + 3*i**3 + 146*i**2 - 30 + 26*i + 2*i**3 + 39*i = 0 for i. 1, 6 Let w(h) be the second derivative of -15*h - 1/45*h**6 - 1/15*h**5 + 0 + 1/126*h**7 + 1/6*h**3 + 1/18*h**4 + 0*h**2. Find o such that w(o) = 0. -1, 0, 1, 3 Let o(j) be the second derivative of 7*j**4/8 + 45*j**3 - 39*j**2 + 171*j. Factor o(f). 3*(f + 26)*(7*f - 2)/2 Let i(l) be the third derivative of l**7/504 - l**6/144 - l**5/12 - l**4/6 + 5*l**2. Let m(x) be the second derivative of i(x). Factor m(f). 5*(f - 2)*(f + 1) Let r = -1185/52 + 93/4. Let l = r - 35/104. Factor 1/8*m**3 - 1/8*m**2 + 1/8*m**4 + 0 + 0*m - l*m**5. -m**2*(m - 1)**2*(m + 1)/8 Let b(p) be the second derivative of -15*p**7/7 - 37*p**6/10 + 27*p**5 + 51*p**4/4 - 20*p**3 - 18*p**2 - 2*p + 12. Determine x so that b(x) = 0. -3, -2/5, -1/3, 1/2, 2 Let h be ((-1)/(-3) + 8/6)*9. Factor 7 + 12*k**2 - 4 - 3 + h*k**3. 3*k**2*(5*k + 4) Factor 1464*t + 26*t**2 + 213459 - 23*t**2 - 34851. 3*(t + 244)**2 Let s be 1 + 6/(-2) + 4. Let u be (1 - 0)*s + 2. Find f such that -u*f**2 - 3 + 3*f**2 - 5*f**2 + 3*f**2 + 6*f = 0. 1 Suppose -4*l + 13 = -15. Factor 6 - 16*w**2 + l*w + 2*w + w. -2*(w - 1)*(8*w + 3) Let f(b) be the second derivative of -b**8/1344 + b**6/120 + b**5/120 - b**4/32 - b**3/12 + 6*b**2 - 6*b. Let h(g) be the first derivative of f(g). Factor h(j). -(j - 2)*(j - 1)*(j + 1)**3/4 Let z(r) be the first derivative of -r**7/630 + r**6/360 + r**5/60 - 5*r**4/72 + r**3/9 + r**2 + 3. Let k(t) be the second derivative of z(t). Factor k(g). -(g - 1)**3*(g + 2)/3 Let t be 4*(2 + 5/(-4)). Suppose 1 = t*i - m - 5, -m + 6 = 3*i. What is c in -4*c**3 + c**3 - c**2 - 1 + 2 + i*c**3 + c = 0? -1, 1 What is m in m**3 + 600 - 4*m**3 - 387*m + 54*m**2 + 72*m + 0*m = 0? 5, 8 Let a = -799/2 - -6403/16. Let x(y) be the third derivative of 1/20*y**6 - 1/2*y**3 + 0 - 13/40*y**5 + 0*y - 4*y**2 + a*y**4. Factor x(c). 3*(c - 2)*(c - 1)*(4*c - 1)/2 Factor -16/5*z**2 - 14/5 + 1/5*z**3 + 29/5*z. (z - 14)*(z - 1)**2/5 Let k(o) = 15*o**3 + 0 + 12 + 6*o**2 - 39*o + 3*o. Let x(g) be the second derivative of -g**4/12 + g. Let t(q) = -k(q) + 3*x(q). Determine p so that t(p) = 0. -2, 2/5, 1 Let a(b) be the second derivative of -43*b + 0*b**2 + 8/33*b**4 - 26/55*b**5 + 1/33*b**7 + 0*b**3 + 0 - 16/165*b**6. Suppose a(q) = 0. Calculate q. -2, 0, 2/7, 4 Suppose -17 = -4*v + n, 0 = -3*v - v - 5*n - 13. Suppose -x = -v + 1. Factor x*b**4 - 8*b + 2*b**3 + 8*b. 2*b**3*(b + 1) Suppose -5*d - 5*n = -25, -5*d - 4*n = -3*d - 16. Let t(y) be the first derivative of 1/4*y**4 + 0*y**3 + 0*y + 0*y**2 - d. Find b such that t(b) = 0. 0 Let b(t) = t**4 - t**3. Let m be 0/(-3 - -1) - 2. Let q(s) = -8*s**5 - 33*s**4 - 91*s**3 - 74*s**2 - 30*s - 4. Let j(d) = m*q(d) + 18*b(d). Solve j(h) = 0. -2, -1, -1/4 Suppose 5*r = -5*w + 30, 9 = 4*w - 4*r - 15. Suppose 0 = -2*n - 2*q - w, 5*n + 13 - 28 = 5*q. Factor 36/5*o**4 + 0 - 48/5*o**3 + 16/5*o**2 + n*o. 4*o**2*(3*o - 2)**2/5 Let k(r) be the second derivative of 7*r**4/4 - 20*r**3 - 18*r**2 + 14*r - 4. Factor k(g). 3*(g - 6)*(7*g + 2) Suppose -4*z - 5*x = -0*z, 2*z + 2*x + x = 0. Factor 8/3*g**4 + 14/3*g**3 + z*g - 4/3*g**2 + 0. 2*g**2*(g + 2)*(4*g - 1)/3 Suppose -5*n - 2*a + 4 = 0, a = 6*n - 2*n + 2. Let w(g) be the first derivative of 2/15*g**3 + 1 + 1/5*g**2 + n*g - 1/10*g**4 - 2/25*g**5. Factor w(t). -2*t*(t - 1)*(t + 1)**2/5 Let y(i) be the third derivative of -i**6/8 - 3*i**5/35 + 29*i**4/56 + 3*i**3/7 + 2*i**2 - 59*i. What is z in y(z) = 0? -1, -1/5, 6/7 Let l be -54 + 0 - (6 + 6 + -11). Let b = l + 57. Suppose 2/9 - 2/9*s + 2/9*s**3 - 2/9*s**b = 0. Calculate s. -1, 1 Let d(b) be the third derivative of b**4/24 + b**3/6 + b**2. Let l be d(8). Let -p**3 - 13*p**3 - 6*p**2 - 6*p**4 - 3*p + l*p + 0 + 4 = 0. Calculate p. -1, 2/3 Factor -9*y + 9*y - 3*y**3 - y**3 - 8*y**4 + 12*y**4 - 8*y**2. 4*y**2*(y - 2)*(y + 1) Let p(x) be the third derivative of 1/70*x**7 - 3/8*x**4 - 1/8*x**6 + 20*x**2 + 7/20*x**5 + 0*x**3 + 0 + 0*x. Let p(k) = 0. Calculate k. 0, 1, 3 Let u = 125/86 + 2/43. Factor 3/2*f**2 + 0 - u*f. 3*f*(f - 1)/2 Let f(r) be the first derivative of r**4/16 + r**3/12 - 3*r**2/4 - 31. Find d such that f(d) = 0. -3, 0, 2 Suppose -14 - 10 = -6*n. Suppose m - n*b - 6 = 2*m, -2 = b. Factor -3 - 6*u**3 - 6*u**m + 6*u**2 + 9*u**2. -3*(u - 1)**2*(2*u + 1) Factor 29/6*b**3 + 0 + 2*b + 16/3*b**2 + 5/3*b**4 + 1/6*b**5. b*(b + 1)**2*(b + 2)*(b + 6)/6 Solve -1096*g**2 + 108*g**4 - 352 - 467*g**2 + 94 - 1408*g - 864*g**3 - 62 - 453*g**2 = 0 for g. -2/3, 10 Let p(y) = 6*y**2 - 6*y + 9. Let o(l) = 11*l**2 - 13*l + 17. Let z(g) = -3*o(g) + 5*p(g). Solve z(i) = 0 for i. 1, 2 Let w = -29/33398 - -269703
{ "pile_set_name": "DM Mathematics" }
order. 5, 2/15, z Let l = -0.6 + 17.6. Let u = -17.3 + l. Sort 4, u, 2 in descending order. 4, 2, u Let s = -47.8 + 48. Sort 5, s, 3, -5 in increasing order. -5, s, 3, 5 Let l = 21 + -12. Let w = 8.9 - l. Sort -4, w, 0.1 in descending order. 0.1, w, -4 Let q = 4 - 2. Suppose q*s = -3*s. Let f be (4/6)/((-2)/3). Sort -3, s, f in decreasing order. s, f, -3 Let x = -34 - -36. Sort -3, 3/5, x, -0.8. -3, -0.8, 3/5, x Let w be 8/(-6) - 11/(-15). Put 5, w, 4 in descending order. 5, 4, w Let t(l) = -l**3 + 12*l**2 - 21*l + 9. Let i be t(10). Put 4, i, -6 in ascending order. -6, i, 4 Let d = 1 + -1.1. Let f = 1.96 + 0.04. Sort f, d, 3 in decreasing order. 3, f, d Let s = 7 - 6. Let b = 2 - -1. Sort -4, s, b in descending order. b, s, -4 Suppose 3*h - 22 = 5*h - 4*r, -r = 5*h. Let f = h - -5. Let b = -136/3 - -46. Put -2/13, f, b in decreasing order. f, b, -2/13 Let k(c) = -c**2 + 3*c - 4. Let n be k(3). Let m = 12.1 - 12. Put n, m, -0.4 in descending order. m, -0.4, n Let b = -13 - -9. Put -2, 4, b in increasing order. b, -2, 4 Let c = -433/5 - -86. Put -1/3, -4, -0.3, c in increasing order. -4, c, -1/3, -0.3 Let g(u) = u**3 - 10*u**2 + 8*u + 13. Let o be g(9). Put 0, -2, o in increasing order. -2, 0, o Suppose 3*j - 7 = -1. Suppose 16 = -3*c + 4*b, -3*c - 3*b + 20 = j*b. Let f be (4/(-10))/((-1)/(-10)). Sort -1, c, f. f, -1, c Let v(z) = -z**3 - 12*z**2 + 12*z - 3. Let d be v(-13). Let p be 15/d*(-1 + -1). Put -2, p, 0 in decreasing order. 0, -2, p Let c = 9 + -14. Sort 1, -8, c, -1 in descending order. 1, -1, c, -8 Let t(u) = 4*u**3 + u + 7*u**2 + 3 + 5*u - 3*u**3. Let z be t(-6). Let r be (2/(-5))/((-12)/5). Put z, -0.2, r in decreasing order. z, r, -0.2 Let v = 30.4 + -30. Sort -2, 0.05, v in decreasing order. v, 0.05, -2 Let b(x) = x**3 - 7*x**2 + x - 2. Let j be b(7). Let o = -3.5 + 4. Let a be (-4)/3*27/30. Sort o, a, j in increasing order. a, o, j Let q = -2.76 + 3.16. Let a = 58 + -287. Let w = 921/4 + a. Sort -3, w, q in descending order. w, q, -3 Suppose 2 = 11*i - 13*i - 4*k, 0 = -4*i + 3*k - 26. Sort 5, i, 4, -3 in ascending order. i, -3, 4, 5 Let x = 38 - 40. Sort x, -3, -1/4 in descending order. -1/4, x, -3 Suppose 8 = -4*r - 4*u, 3*r = -4*u - 0*u - 6. Let g(f) = -3*f. Let x be g(-1). Sort x, 1, r. r, 1, x Suppose -2*a + 4*o = 3*o + 4, a = 5*o - 20. Let q be 0 + (a + 0 - 0). Let s be 0 + -2 + -4 - -1. Put -3, q, s in descending order. q, -3, s Let k be (-6)/(-9)*(-9)/(2 - 5). Let r = -6 - -13. Put k, 3, r in ascending order. k, 3, r Let a(f) = f**2 + 6*f + 4. Let i be a(-2). Sort 4, i, -5, 1. -5, i, 1, 4 Let f = -1.7 - -1.7. Sort -0.1, 0.2, f, 1 in increasing order. -0.1, f, 0.2, 1 Let w(v) = v**3 + 4*v**2 + 6*v + 2. Let j be w(-4). Let i = j - -21. Sort 5, i, -3. -3, i, 5 Let f be 2*(-2 + -2 + 5). Let h be -2 - (2 + -2*15). Suppose -4*p = -2*x - h, -p - 3*x - 2*x = 10. Put f, p, 3 in decreasing order. p, 3, f Let f = -2.96 - 0.34. Let r = 3 + f. Put 0.3, r, -2 in descending order. 0.3, r, -2 Let b = 19.4 + -25. Let v = 6 + b. Let k = -15 - -19. Sort k, v, 1 in decreasing order. k, 1, v Let m = -7 + 4. Let w be (1*m)/(18/(-12)). Put 0, w, -1 in descending order. w, 0, -1 Let g = 0.3 + 0.2. Sort g, -3, 0.2 in decreasing order. g, 0.2, -3 Let a = -0.11 + 1.11. Put -0.5, a, 0.5 in decreasing order. a, 0.5, -0.5 Let b = 137.7 - 121. Let q = b - 17. Let g = -5 - -1. Put 2, q, g in decreasing order. 2, q, g Suppose -2*u = -5*u + 90. Suppose 0 = 4*i - 8, -3 = 5*f - 4*i + u. Let c = 3 - -2. Sort -0.4, c, f. f, -0.4, c Let o be (-63)/(-27)*4/(-7). Put 1/15, 2/3, -2/11, o in descending order. 2/3, 1/15, -2/11, o Suppose 0 = -5*o - b - 10, 3*o - 7 = 7*o + b. Sort o, 1, 0 in decreasing order. 1, 0, o Let s = 31 - 47. Let m = 17 + s. Put m, 1/2, -1/4 in descending order. m, 1/2, -1/4 Suppose -12 - 8 = 5*m. Let h(y) = -2*y**3 - 2*y**2 + y. Let x be h(1). Sort -2, x, m in decreasing order. -2, x, m Suppose -145*s - 16 = -141*s. Sort 4, 0, s. s, 0, 4 Let i be 8/2*6/8. Let l(j) = -j**3 - 3*j**2 - 4*j - 3. Let o be l(-2). Put -2, o, i in ascending order. -2, o, i Let b = 4/65 - 97/520. Suppose 0*a + 4 = a + 2*w, a + 3*w = 8. Sort -1/9, a, b in increasing order. a, b, -1/9 Let p be 1 + ((-6)/4)/(7/(-14)). Suppose -3*v = -2*f, 5*v = -0*v - 2*f - 16. Sort p, 1, v in ascending order. v, 1, p Let n = -15 - -14. Let d = 3 - 2. Sort n, d, 4 in increasing order. n, d, 4 Let m = 0 - 0. Let d be 0/7 + (2 - m). Sort 5, d, 1 in descending order. 5, d, 1 Let v(h) be the third derivative of -h**4/24 - h**3 - 4*h**2. Let w be v(-9). Sort -4, w, 5 in descending order. 5, w, -4 Let o be ((-3)/4)/(3/(-8)). Put -4, 6, o in decreasing order. 6, o, -4 Let g = 1.8 - 2.1. Sort g, 2, -3. -3, g, 2 Suppose 4*u = 5*d - 20, 3 = -u + 2*d - 2. Sort 0, u, -4. u, -4, 0 Let k = -5 - -4.7. Put 3/5, k, -0.5 in descending order. 3/5, k, -0.5 Let i = 52 + -54. Sort -2/5, i, -0.6. i, -0.6, -2/5 Let r = 0 - -2. Suppose 4 = -r*l + s, 16 = 7*s - 3*s. Put l, -5, 3 in descending order. 3, l, -5 Suppose -5*j - 5 = 6*y - y, 0 = -2*j + y + 10. Put -2, j, -3 in descending order. j, -2, -3 Let k(d) = d - 4. Let a be k(4). Suppose 4*m + a*m + 8 = 0. Put 2, m, 5 in decreasing order. 5, 2, m Suppose 0 = r - 2*r - 2*x + 5, r = 2*x - 3. Let z be (r/6)/(60/45). Put z, 2, 3/8 in ascending order. z, 3/8, 2 Let o be 6/(-15) + (-4)/(-10). Let w be o + 1 - (-15)/(-3). Let p be 0/(((-1)/(-1))/1). Sort -3, w, p in decreasing order. p, -3, w Let y = 0.26 - -0.24. Sort -2, y, 5. -2, y, 5 Let b = -131 + 2487/19. Put 4, 0.4, b in descending order. 4, 0.4, b Suppose 5*x = y - 8, 0*x = -2*y + 4*x + 4. Let w be 4/(-3)*(-9)/2. Suppose w = -j - j. Sort y, -5, j in descending order. y, j, -5 Let h(w) = -w**3 + w**2 - w - 3. Let g be h(0). Sort -2, g, -7 in decreasing order. -2, g, -7 Suppose 11 = 3*c + 4*n, 0 = -4*c - n - 2*n + 17. Sort c, -2, -10. -10, -2, c Let k(u) = -u**2 - 6*u + 8. Let p(d) = d**2 + 5*d - 7. Let s(y) = -3*k(y) - 4*p(y). Let g be s(-3). Suppose 5*i = -14 + 39. Sort g, i, 3 in ascending order. g, 3, i Let c = -0.09 - -0.18. Let n = -2.09 + c. Put 0.06, 0.1, n in decreasing order. 0.1, 0.06, n Suppose 2*u + t + 4 = 2, 5*u + 4*t = -8. Suppose -3 - 2 = p + 2*i, 3*p + 6 = 3*i. Put p, u, -5 in descending order. u, p, -5 Let z = 98 - 103. Let r(j) = -j - 2. Let i be r(-3). Put -3, z, i in increasing order. z, -3, i Let a(z) = z**2 + 10*z - 25. Let o be a(-12). Sort -2, -4, o. -4, -2, o Let c = 0.36 - 0.06. Let s = c - 0.4. Suppose -2 = 4*d - 2*d. Sort 4, s, d in descending order. 4, s, d Suppose -3*q - 4*s + 11 = -3, -3*s = -4*q - 23. Let m be (-2)/(-4) - 22/4. Let b = q - m. Sort b, 0.4, 1 in descending order. b, 1, 0.4 Let n = 2 - 2.3. Sort n, -0.1, 2/23. n, -0.1, 2/23 Suppose 5 = -8*x - 43. Put 4, x, -1/6 in increasing order. x, -1/6, 4 Let f be 4*-1*(-2)/4. Suppose -f*c = 2*c + 4. Suppose -21 = -3*b + 3*p, 4*b - 2*p + 3*p - 3 = 0. Sort c, -2, b. -2, c, b Let s = 10 - 7.12. Let l = s - -0.12. Let d = 0.3 + -0.8. Put d, l, 1 in increasing order. d, 1, l Suppose 0 = 2*x + 34. Sort -2, 1, x in descending order. 1, -2, x Suppose -2*l + 9 = -3*s - 12, 3*l - 19 = 2*s. Let o be 4/10 + l/5. Put -3, o, 4 in ascending order. -3, o, 4 Let v = -0.2 - -3.2. Let y = 3.4 - v. Put -2, 5/4, y in ascending order. -2, y, 5/4 Let j = -70 - -70. Sort 5, j, -5, -2 in descending order. 5, j, -2, -5 Suppose -20 = 3*n + 5*l, 0 = 4*n - 0*l - 3*l - 12. Let j = n - -3. Let b = -0.4 + 0.2. Sort b, j, -3/8 in decreasing order. j, b, -3/8 Let t = -1 - -4. Let m = -23 + 26.2. Let v = t - m. Sort 1/4, -1/2, v in decreasing order. 1/4, v, -1/2 Let p be 1*(-1*2 + 7). Suppose -10 = 5*b - 4*g + 17, 0 = -p*b - g - 12. Suppose -2*v + 15 = -u, v - 6*u + 2*u = 25. Sort -5, b, v in ascending order. -5, b, v Let m(r) = r**2 + r + 2. Let z be ((-4)/3)/((-22)/(-33)). Let g be m(z). Sort g, -0.4, -2 in decreasing order. g, -0.4, -2 Let y be (-2)/(-4) - (-18)/(-20). Let r = 3.07 + -0.07. Let p = 2 + r. Sort 2, y, p. y, 2, p Let m = 3.1 - -1.9. Sort -2/11, m, 8, 1/2 in ascending order. -2/11, 1/2, m, 8 Suppose 4 = -4*a - 0. Let s be 0 + 0 - 12/6. Let h = a + s. Sort h, -1, -4. -4, h, -1 Let a = -5 - -9. Suppose 6 + 14 = -a*q. Sort q, 4, 0 in decreasing order. 4, 0, q Let m = -8 - -5. Let c be (-324)/7 - (2 - 4). Let w = c - -44. Put w, m, -1 in decr
{ "pile_set_name": "DM Mathematics" }
Calculate the common denominator of 4/30*-3*(-610)/132 and -79/24. 264 Suppose 2*m + 3120884 = -2*m. Let l = 12465265/16 + m. Let q = -1143 - l. Calculate the common denominator of q and 49/22. 176 Calculate the lowest common multiple of 6 and (-1 - -4)/((-6)/(-8)). 12 Let q = 1595/102 + -110/17. Suppose -2*w = -116 - 56. Find the common denominator of (w/24)/(2/(-4)) and q. 6 Let f = -7 - -13. Calculate the smallest common multiple of f and 12. 12 Let r = 199 - 109. Calculate the least common multiple of r and 8. 360 Calculate the common denominator of (-3)/((-36)/(-267)) + -2 and -17/10. 20 Let n = 6 + 1. What is the smallest common multiple of 8 and n? 56 Let r = -823 - -2470. Let p = 6631/4 - r. Find the common denominator of p and -65/8. 8 Let f be 4/(-22) - (-3782286)/(-956340). Let o be ((-1)/(-315))/(23/3). Let t = f + o. What is the common denominator of t and 89/22? 22 Let h = 18 - -3. What is the smallest common multiple of h and 15? 105 Suppose m = 0, 2*g - 32 = 5*m + 6. Suppose -g*j + 24*j = 40. Calculate the lowest common multiple of 6 and j. 24 Calculate the common denominator of (153/150)/(12/28) and 68/55. 550 Let w(y) = y**2 - 6*y - 5. Let a(l) = -3*l - 9. Calculate the least common multiple of w(7) and a(-6). 18 Let f be (6/4)/((-3)/(-6)). Let i(c) = 5*c**2 - 3*c + 2. Let y = -117 + 356/3. What is the common denominator of i(f) and y? 3 Let w = 30011/70 - 3048/7. Find the common denominator of 69/22 and w. 110 Let r(j) = -17*j + 93. Calculate the common denominator of r(6) and 4/14 - 416/(-14). 1 Suppose 4 = v + 5. Let s(o) = o**3 + 3*o**2 + 2*o + 1. What is the smallest common multiple of s(v) and 4? 4 Suppose 20 = -p + 6*p. Suppose 0 = 4*f + 2*h - 42, p*f + h - 3*h = 38. Calculate the lowest common multiple of 3/(-2)*(-8)/6 and f. 10 Let x = -5 + 52/11. What is the common denominator of 1*9/21*-1 and x? 77 Let m = 43 + -31. Let a = 10 - 10. What is the lowest common multiple of m and 15*(a + 6/9)? 60 Let j = -10037/3135 + 1/627. Let z = j + 381/80. Calculate the common denominator of -127/6 and z. 48 Let u = 3683/4 - 944. Suppose 0 = -2*j - 10, 5*y = -0*y + 5*j + 130. Calculate the common denominator of 1*y/8*-2 and u. 4 Find the common denominator of (38/3)/(4/9) and -55/8. 8 What is the common denominator of (363/36)/(-5 + 3) + 2 and -7/12? 24 Suppose -2*s - 35 = -5*z + 3*s, 3*s = -3. Suppose -3*r + 10 = -2. What is the least common multiple of r and z? 12 Let g be (10/15)/(2/3). What is the smallest common multiple of (g - 1) + -1 + 23 and 22? 22 Let u(w) = 4*w**3 - w**2 - 6*w + 4. Calculate the smallest common multiple of u(2) and 7. 140 Let g = 26 - 17. What is the lowest common multiple of g and 8/36 + 52/9? 18 Let m(v) = -v**2 - 4*v + 2. Let i be m(-5). What is the least common multiple of -4 + 40/((-16)/(-4)) and (i + 0 + 0)*-2? 6 Let q = 450739/1734 - 224/289. Let r = 255 - q. Calculate the common denominator of -9/2 and r. 6 What is the least common multiple of 1 + 1 + -3 + 3 and 11? 22 Let d = 1/15 - -28/55. Calculate the common denominator of 77/39 and d. 429 Suppose 3*n - 2*a + 22 = 5*n, -n = 2*a - 15. What is the lowest common multiple of 4 and n? 28 Let u = -11121/1460 - -5/292. What is the common denominator of u and 26/7? 35 Let t be (-131426)/(-20) + (-2)/10. Let x = t - 6563. Let s = -5154/5 + 1020. Find the common denominator of s and x. 10 Let s = 2 + -3. Let m be 0/(-1) - 4/s. What is the common denominator of (2/m)/(7/(-55)) and -31/18? 126 Let k = -1989 + 11981/6. Find the common denominator of 35/6 and k. 6 Let q = 4 - -4. Suppose 4*k - 12 = 0, -18 - 17 = -4*i - k. Let b = 13 - i. Calculate the least common multiple of q and b. 40 Let a = -7 + 9. What is the lowest common multiple of a and 10? 10 Suppose 0 = -5*g + 4*l + 87 - 0, 2*g - 21 = -3*l. Calculate the common denominator of ((-9)/6)/((-18)/(-224)) and 170/g*(-9)/20. 30 Suppose 5*u = -k + 2002, -2*u + 391 + 419 = 5*k. Let o = -1545/4 + u. Find the common denominator of 67/4 and o. 4 Let b = 35186/111 + -317. Let j = b - -5777/555. Calculate the common denominator of j and -16. 5 Let x = 472903/944 + 10169/59. Let t(b) = -673*b. Let l be t(1). Let q = x + l. Calculate the common denominator of q and -1/2. 16 Suppose 5*d - 5 = -0*d. Calculate the smallest common multiple of 15 and d. 15 Find the common denominator of 127/12 and 812/320 - 4/(-10). 48 Let f(w) = w + 8. Let t be f(-6). Calculate the common denominator of -2*(2 + 63/60) and t/1*115/(-35). 70 Let c = 15 - 11. What is the lowest common multiple of c and 7? 28 Let f = 2770/3 - 899. Let k = -167/6 + f. What is the common denominator of k and 7/5? 10 Suppose -19 = -4*n - 0*z + z, 0 = -3*n - 2*z + 17. Let h(d) = d + 2. Calculate the least common multiple of (-2)/3 - 68/(-12) and h(n). 35 Let y = 5670 - 102097/18. Calculate the common denominator of y and 14/28*110/14. 126 Suppose -5*o + 6*o = 3*m + 2, -16 = -4*m. Let l(v) = -v**3 - 3*v**2 - v - 4. What is the least common multiple of l(-4) and o? 112 Let k be 1/(-3) + (-3627)/2838. Let s = k + 1/4257. What is the common denominator of 5/16 and s? 144 Let g = 19675/12 + -1649. What is the common denominator of 61/20 and g? 60 Suppose 9*h + 4 = 13*h. Calculate the least common multiple of 7 and h. 7 Let b = -1/20 + -1/5. What is the common denominator of -31/14 and b? 28 Suppose 0 = -3*t + 1 + 8. Suppose 2*i + 4*y = y + 94, -126 = -t*i + 3*y. Calculate the common denominator of -28/11 and i. 11 Calculate the common denominator of -7/40 and (((-837)/(-44))/(-3) + 4)*-1. 440 Let q = 952 - 19984/21. Find the common denominator of q and 13/30. 210 Let h(o) = -o**3 + o**2 + o + 88. Let r be h(0). Suppose v + r = 3*v. Find the common denominator of v and (27/24)/((-6)/116). 4 Suppose 0*i - i - 5 = -a, 7 = 2*a + i. Suppose 3*k = 0, -k + 48 = a*g + 3*k. Calculate the lowest common multiple of 2 and g. 12 Let i = -942402877/5875 + 160409. Let j = 23048477795512597/82250 - 280224654041. Let w = j - i. Find the common denominator of 1/8 and w. 56 Let c be 18*(8/(-3) - -3). Find the common denominator of c/128*2*46 and -77/20. 80 Let q = 8 - 5. Find the common denominator of (-1)/q - (-193)/(-42) and 66*(273/420 + 4/(-10)). 14 What is the least common multiple of (7 + -5 - 1)*7 and 25? 175 Let g(r) = r - 3. Let p = 25 + -21. Calculate the least common multiple of 8 and g(p). 8 What is the lowest common multiple of 18 and (-1)/(-2 + 1/(30/57))? 90 Let m = 75 - 53. Let z(x) = x - 2*x + 3*x - 4. What is the least common multiple of m and z(3)? 22 Suppose -5*c - 5 = -n + 3*n, -4*c = 4. Suppose n = -2*a - 0*a + 6. Calculate the least common multiple of 10 and a. 30 Let v = -1369/6858 - -277/127. What is the common denominator of v and -1/6? 54 Suppose 2*q + 2*h - 24 = 0, 4*q - 3 = -3*h + 42. What is the smallest common multiple of q and 1? 9 Let o(v) = v**3 + 5*v**2 + 5*v + 7. Calculate the least common multiple of o(-3) and 10. 10 Let h = 1053 - 3112/3. Find the common denominator of 39/2 and h. 6 Suppose -5*o = 4*t - 36, 5*t + 0*o - 4*o = 4. Suppose -4*q + 36 = t*h, 0*h - 5*q = -h + 9. Calculate the least common multiple of h and (-1 - -3)/(4/6). 9 Let d(v) = 4*v - 2. What is the least common multiple of d(4) and 20? 140 Let y = -281/4 - -2401/36. Find the common denominator of y and 77/10. 90 Let i(m) = m**2 - 9*m - 27. What is the smallest common multiple of 3 and i(13)? 75 Let p be (-16)/(-30)*45035/6. Let h = p + -3998. What is the common denominator of 36 and h? 9 Suppose 0 = -2*n - 2*n + 168. Calculate the smallest common multiple of 7 and n/9 + (-4)/6. 28 Let f = -16/12845 - 303411649/77070. Let m = -3946 - f. Find the common denominator of 2/(-1) - (-134)/4 and m. 6 Let h = -6/311 - 16447/1866. Let k = 2/13507 + -580837/243126. Calculate the common denominator of k and h. 18 What is the common denominator of (-1)/(-5) - (-201)/(-30) and -97/12? 12 Let t be 6/21 + (-270)/14. Calculate the least common multiple of 8 and -2 - (t + (-12)/(-4)). 56 Let s = -10 - -18. Calculate the lowest common multiple of s and 5. 40 Suppose 4*h + y = 28 + 11, 0 = -4*h - 3*y + 37. Let d = 128 - 118. Calculate the lowest common multiple of d and h. 10 Let n = 54693/8 - 6848. Let z be 119/759 - 1/6. Let j = -15949/1012 - z. What is the common denominator of j and
{ "pile_set_name": "DM Mathematics" }
3 Solve 5*p + 3*a + 20 = 0, 2*a + 19602 = -3*p + 19589 for p. -1 Solve 2*l - 12*r + 64 = 0, 7*l + 4*r + 200 - 22 = 0 for l. -26 Solve -2*u = -3*v - 101, -v - 4*u - 100 = -43 for v. -37 Solve 254 - 130 = 4*p + 4*m + 10*m, -m + 26 = -4*p for p. -4 Solve -d + 2*p + 4482 = 4471, 4*d + 40 = -4*p for d. -3 Solve -h - 4*w + 134 = 0, -3*h - 84*w + 640 = -65*w for h. -2 Solve -2*f + 195*m - 122*m + 330 = 0, -5*f + m = -99 for f. 19 Solve -2*m + 4*f = 0, -2*m + 2*f + 2871 - 2863 = 0 for m. 8 Solve -3*p + 22*f - 24 = 20*f - 0*f, -5*p = -3*f + 38 for p. -4 Solve -29*q + 68 = 217*i - 212*i, -2*i = -3*q + 2 for q. 2 Solve 3*w = -3*a + 6, 37*a - 1179 = -w - 1249 for w. 4 Solve 3*p + 4*f - 21 = 22, -25*p + 7*f + 78 + 119 = 0 for p. 9 Solve -4*g - 108 = -10*d, d - 8 = -6*g - g + 6*g for g. -2 Solve 0 = 3*p + 2*z + 37, 47*p = 14*p + 32*p + 5*z + 67 for p. -3 Solve -2*j + 66 = -i, -4427 = -5*j + 6*i - 4*i - 4294 for j. 1 Solve 63 = -13*z + 192*o - 190*o, 5*z + 29 = -4*o for z. -5 Solve -246 = a - 6*i, 23*a - 5*i = 3*a - 3*i - 82 for a. 0 Solve -3*k + 3*b + 63 = 0, 100*k + 5*b - 464 = 1111 for k. 16 Solve -n - 6547 = -6538, m + 27*n - 24*n = -27 for m. 0 Solve 0 = -t + 4*t + a + 10, 11*t - 2*a + 22 = -4*t for t. -2 Solve -31 = -2*w + i, -i - 57 = -187155*w + 187151*w for w. 13 Solve 0 = 3*l - 0*c - 3*c - 6, 3*l + 4951 = 5*c + 4959 for l. 1 Solve 3114*o + 5*u = 3123*o + 125, 2*u = -2*o - 34 for o. -15 Solve -7*h - 117*u + 55 = -113*u, 0*h + 17*h - 3*u - 2*u = 163 for h. 9 Solve -g - 5 = d, -11*d = -14*g - 9*d - 32 + 90 for g. 3 Solve 96*c = 99*c - 2*h - 67, 5*h + 175 = 9*c for c. 5 Solve -2*x + 963*a + 1 = 962*a, 0 = 2*x - 7*a - 7 for x. 0 Solve -752*s + 2*p + 3 = -756*s - 3, 0 = 254*s - 255*s - 2*p - 15 for s. 3 Solve -k = -18 + 22, -k + 6 = 5*w - 3*w for w. 5 Solve -518 = -7*b + 7*f, -437*b = -432*b + 4*f + 260 for b. 4 Solve -2*k + 6 = -k + u, -28*k + 4*u - 82 = 38 for k. -3 Solve 2*b - 54*d + 4 = -50*d, 26*b + 4*d + 84 = -24 for b. -4 Solve l - 130714 + 130710 = -z, -z = 3*l - 12 for z. 0 Solve -4*o + f + 17 = 0, 3*f = -5*o - 5*f + 136 - 161 for o. 3 Solve -g - 45 = -5*v, 7*g + 4570871 - 4570835 = 5*v - v for g. 0 Solve -58041*g = -58040*g - 4*w + 32, -4*w = 5*g + 16 for g. -8 Solve 2*y - 3 = 5*z - 0*y, -8*z = 3*z + 3*y - 23 for z. 1 Solve -4*w - 35*m + 3*m + 93 = -37*m, 2*m + 24 = -2*w - 24 for w. -3 Solve 4*j - 87487*f - 32 = -87488*f, 23 = 13*j + f for j. -1 Solve 47 = r + 40*x - 14*x - 22*x - 5, -r - 26*r = 3*x + 66 for r. -4 Solve -75 - 89 = -5*s + 2*o - 176, 0 = -7*s - 3*o - 40 for s. -4 Solve 6 = -2*b - 2*l + 6*l, -690*l - 687*l - 7 = 2*b - 1380*l for b. -5 Solve -2*h + 1017*z - 1013*z = 20, -5*z + 30 = -5*h for h. -2 Solve -2*t - 4*w = 258, 6*t - 9*t - 9*t = -w - 27 for t. -3 Solve -9 = -5*y + 4*x, 0 = 3*x - 528 + 516 for y. 5 Solve -1315*b - 71 = -1311*b + 5*n, -5*b - 3*n = 79 for b. -14 Solve -5*p = -115*w + 116*w + 10, -5*p + 14 - 54 = 67*w - 360 for p. -3 Solve 3*w + 32*y - 44 = -2*w, -3*w + 4*y - 41 = -137 for w. 28 Solve 8*n + 26 = 2*j, -5*n + 7776 = 2*j + 7802 for n. -4 Solve 0 = 5*q + 3*r - 59, -7 = -3*q + 2692*r - 2690*r - 21 for q. 4 Solve 3*o - 573 = 85*w + 12*w, o = -w - o - 12 for w. -6 Solve -4*b + 59*l - 12 = 57*l, 0 = -5*b - l + 6 for b. 0 Solve -4*r = 5*j + 7, r - 25*j = 5*r - 1787 + 1854 for r. 2 Solve 42494*b + 64 = 17*y + 42490*b, -3*b = 3*y + 111 for y. -4 Solve -20 = 4*c - 4*n, -4*c + 2 = -3*c + 7*c - 303*n + 302*n for c. 1 Solve 11*k - 944 = -3367*w + 3371*w, 5*k - 445 = 5*w for w. -5 Solve -d + 5 = -338*n + 341*n + 3 - 6, 0 = -3*d + 6 + 9 for n. 1 Solve 7*h + 1049*s = 1047*s - 9, -5*h + 2*s = 27 for h. -3 Solve 53*w + 1037*r - 1034*r = 25*w - 43, -4*w + 4*r + 16 = 0 for w. -1 Solve -6*v = 4*i + 56, -i = -28745*v + 28736*v - 28 for v. -4 Solve 0 = 5*p - 6*g + 11*g - 45, 0 = 3*p - 16*g - 84 for p. 12 Solve -4*t - 24*j - 22 = -22*j, -5*t + 2*j = -31 for t. 1 Solve -2*m - 5*r = 79, 48*r - 92*r - 11 = 2*m - 43*r for m. 3 Solve -4*y = 3*y - 5*y + 34, 5*p + y = -3 + 1 for p. 3 Solve r + 14 = 3*n, 445*r + 26 = 10*n + 450*r - 29 for n. 5 Solve 2*r + 2 = -d, 4032*r - 4 = 2*d + 4031*r for d. -2 Solve -4*a + 19*n = -92, 78*n - 74*n + 20 = a for a. 4 Solve -9*j + 6*p = 21, j + 61 - 118 + 65 = -5*p for j. -3 Solve -29*k + 42 - 62 = -3*w - 174 - 96, 35*k - 34*k - 26 = 3*w for w. -6 Solve 3 = 80*i - 89*i - 4*s + 59, -3*i + 2*s = -32 for i. 8 Solve 4*n - 4*x + 40 = 0, 0 = 5*n - 14*x - 110*x + 1359 for n. 1 Solve -11*k + 4*s + 273 = -8*k, 760*s = 2*k + 762*s - 168 for k. 87 Solve 42*q - 41*q = -18*l + 55, -2*q - 93 = -2*l - 13 for l. 5 Solve 81*m - 45*m - 127*n + 64 + 190 = 41*m, 0 = m + 5*n - 10 for m. 0 Solve 77569*t + 35 = 77565*t + 3*o, -3*t - 17 = 4*o + 28 for t. -11 Solve 2*p = -4*i + 5*p - 23, -456*i = -479*i + p - 116 for i. -5 Solve -36*p + 41*p - 1 = 2*z + 2, 2*p = 41*z + 162 for z. -4 Solve -39*x + 0 = -35*x + 4*k + 40, 16*k - 2*k = -3*x - 19 for x. -11 Solve -9*o - 2*w - 14 = -11*o, -8*o - 88 = -6*o + 15*w for o. 1 Solve -5*b - 42 = -2*i, 2*b - 3 = -2261*i + 2260*i for i. 11 Solve 2*p - 2 = -7*p - 11, 2*p - 33 + 12 = y for y. -23 Solve -4*a = 4*h, 3*h - 283 + 142 = 2*a - 141 for h. 0 Solve -15*f = -0*c - 3*c - 24, -4*f = -53529*c + 53528*c - 6 for f. 2 Solve -20*o + 105 = -3*b, -2*o - 15*o + 26*o + 5*b = 11*o + 13 for o. 6 Solve -244 = 4*a - 3834*p + 3838*p, 2*p + 110 = -5*a for a. 4 Solve -12*o - 4*g = 328, 86*o - 80 = 89*o - g for o. -27 Solve -21 = 3*w + 2*t - 9 + 18, -4*w = -4*t - 60 for w. 0 Solve 72*i + 16*i + 8 = -u + 90*i, -u - 10 = -i for u. -12 Solve 0 = -3*b - 2*c + 19, -24*b + 3*c = -21*b - 9 for b. 5 Solve 4*b - 81 - 84 = -3*i - 104, 5*b - 35 = -i for b. 4 Solve 5*f + 4*g + 20209 - 20211 = 0, 10 = f - 4*g for f. 2 Solve -12 = i - 3*u, 8*i + 21995*u = 22059*u - 176 for i. -6 Solve -9*f + 4*t - 130 = -86, -11 = 3*f - t - 3 for f. 4 Solve q = k + 103 - 115 + 78, 2*k - 3*q + 137 = 0 for k. -61 Solve -3*w = -5*u + 26, -487*w - 4*u + 4508 - 5466 = 0 for w. -2 Solve 3*w - 3*w - u = 5*w + 146, -w - 18 = 3*u for w. -30 Solve i - 74 = 5*m, -3*i - 215 + 217 + 188 = -7*m for m. -4 Solve 5*b - 8*a = -58, -2231*a - 232 - 222 = -2*b - 2306*a - 8 for b. -2 Solve -19 + 3 = 3*u + 4*q, -q - 27 = -3338*u + 3333*u for u. 4 Solve -3481 - 275 = 288*t + 4*f, -64 = 4*t - 7*f + 20*f - 9*f for t. -13 Solve b + 4*a - 8 - 4 = -b, 1379*b = 1380*b - 3*a - 16 for b. 10 Solve 0*z = -3*u + 5*z + 265 - 329, -u + z - 9 = 9 for u. -13 Solve -3*s + 3*k = -27, 96*s + 3*k = 23*s + 429 for s. 6 Solve 3*d = 3*z + 6*d + 117, 2*d = 7*d - 15 for z. -42 Solve 100*h + 280*h + 23*h + 1194 = -3*u, -9 = -3*u + 160*h - 162*h for u. 5 Solve 4 = -2*h - 3*j + 12, -54*h + j = -55*h + 2 for h. -2 Solve 0 = 3*y - 658*g + 662*g + 9, -3*g = -3*y + 12 - 0 for y. 1 Solve 231*l + 123 = 222*l + 4*j, 0 = 4*j + 12 for l. -15 Solve 19125*s + 70 = 19130*s + 5*v, -4*v = 62*s - 578 for s. 9 Solve 9*j + 24*p - 325 = -p, -2*j - j - 8*p = -7*p - 79 for j. 25 Solve -9468*z + 9465*z + 3 = 5*l, 4*z - 4 = -3*l for z. 1 Solve -5*x + p = -5, -25*p = -7*x + 2*x - 9*p + 4*p + 70 + 30 for x. 0 Solve 0 = 3*d + 2*k - 76, 38*d - 34*d - 8*k - 52 = -4 for d. 22 Solve -5*n - 90 = 7*m, -4*m = n + 3*n + n + 75 for m. -5 Solve -90 = 18*v, 3*w + 296*v + 294*v = 585*v - 22 for w. 1 Solve -84 = 4*u, 101 = -2*l + 196*u - 201*u for l. 2 Solve 4*v = -0*g + 5*g + 3, 7*g - 15*v + v + 130 = 12*g + v for g. 5 Solve -6*g + 9*r - 3*r - 8*r = -24, -2*r - 7 - 5 = 0 for g. 6 Solve 0 = -7*k + v - 41, 0 = k - 2952090*v + 2952092*v - 7 for k. -5 Solve -10*p + 3*c + 31 = 5, -2*p + 2*c = 2*p + 5 - 25 for p. -1 Solve o + 3*o = -4*k - 96, 8*o + 6*k + k = -189 for o. -21 Solve 8*i + i + 13 = 2*l - 6*l, 317 - 314 = -5*i + 2*l for i. -1 Solve -21*g - 2*m + 74 = -25*g, 182 = -7*g + 5*m for g. -1 Solve -2*n - 45 = 5*a, 128012*a + 2*n = 128013*a + 9 for a. -9 Solve 0 = k + 3*y - 94, -5*k + 9*k - 6*y + 7*y - 35 = 0 for k. 1 Solve -193*x - 1154 = -2*l, 8 + 25 = -3*l - 2*x + 15 for l. -2 Solve -4*w - 3*m = 271 - 346, 8*w + 5*m - 149 = 0 for w. 18 Solve -5*t = 18*f + 94*f - 970 - 247, -4*f + 5*t + 59 = 0 for f. 11 Solve -2*o + k = 13, 41755*o - 3 = 41752*o - 3*k for o. -4 Solve 0 = -2*k - 4*u + 70, -3538*k + 6*u = -3534*k + 112 for k. -1 Solve 4*i - 132 = -5*u, -25*i + 27*i - 25*u - 28*u + 50*u = -66 for i. 3 Solve -x - 380 = -64*u, 2*x
{ "pile_set_name": "DM Mathematics" }
4. Let z be 126/35 + c/5. Calculate the greatest common divisor of k and z. 4 Let i(d) = -3*d**2 - 24*d - 9. Let t be i(-7). Suppose 0*h + 2*u = -h + t, 3*h - 36 = -2*u. What is the highest common factor of 4 and h? 4 Suppose 5*b - 15*g = -20*g + 245, -5*b + 261 = -3*g. Suppose 5*z = 4*t - 58, 0*t - 2*t + 2*z + 30 = 0. Calculate the greatest common factor of b and t. 17 Suppose 2*q - 398 = -2*t, -q + 312 = -3*t + 93. Calculate the highest common divisor of q and 51. 51 Suppose 819 = 21*l - 756. Calculate the greatest common divisor of l and 135. 15 Suppose 3*t + 135 = 3*n, -5*n + 6*t = 5*t - 225. Calculate the highest common divisor of 120 and n. 15 Let g be (2 + 17/(-2))*-26. Let s(p) = -96*p + 13. Let m be s(-3). Let q = m - g. What is the highest common factor of q and 12? 12 Let u be ((-28)/(-6) - 4)*21. Let o(g) = 2*g - 14. Let f be o(14). What is the highest common factor of u and f? 14 Let s be (4/(-3))/((-1)/(-15)). Let h be 249/6 - (-1)/2. Let b = s + h. Calculate the greatest common divisor of b and 22. 22 Let a(i) = -i**3 - 24*i**2 + 24*i - 11. Let d be a(-25). Calculate the highest common divisor of d and 1162. 14 Let k = -10 + 13. Let w be 10/(-15) + (-67)/3. Let u = w - -38. What is the highest common divisor of u and k? 3 Let l be 1 - (6 + 379)/(-5). What is the greatest common factor of 12 and l? 6 Let l be (4 - 8 - -52)*(-8)/(-16). What is the greatest common divisor of 48 and l? 24 Let b(n) = 12*n**2 + 3*n. Let m be b(-2). Suppose 3*q - 5 = 1. Suppose a + q*c = 103, -311 = -3*a - 0*c - 4*c. Calculate the greatest common divisor of m and a. 21 Let s(t) = -t**3 + t**2 + 7*t - 9. Let k be s(2). What is the highest common factor of 13 and k? 1 Let v(c) = -c**3 + 8*c**2 + c - 5. Let z be v(8). Suppose 0 = -5*d + 3*d - 6. Let n be (-2 + 6)*d/(-1). Calculate the greatest common factor of z and n. 3 Let n(k) = 3*k**3 - 2*k**2 + 3*k - 4. Let d be n(3). What is the greatest common factor of d and 306? 34 Let z = 1520 + -1261. What is the greatest common divisor of z and 481? 37 Let n = -6 - -55. Let r = 63 - n. What is the greatest common factor of r and 14? 14 Let u be (0/2)/(5/5). Let f(p) = u*p + 4*p - 4*p - 2*p. Let w be f(-1). What is the greatest common factor of 2 and w? 2 Suppose 8*o + 123 - 171 = 0. Let w(z) = -1. Let v(t) = 25*t - 23. Let g(c) = v(c) + 3*w(c). Let m be g(o). What is the greatest common divisor of m and 31? 31 Let v = 27 - 17. Let n(j) = -j**3 + 11*j**2 - 9*j - 9. Let w be n(v). What is the greatest common divisor of w and 4? 1 Suppose -4*s - 3*c + 321 = 0, s + s = -3*c + 165. Let a be (-6 + 11)*86/10 + -4. Calculate the greatest common divisor of a and s. 39 Let r be -66*8/(-72)*57. Calculate the highest common factor of 38 and r. 38 Let i(t) = -10 + 14*t - 24*t - 5*t**3 + 4*t**3 - 7*t**2. Let o be i(-6). Suppose o*f = 18*f - 40. What is the greatest common factor of f and 2? 2 Suppose 0 = -5*o - 2*p - 0*p + 650, 0 = o - 3*p - 130. Suppose 0 = 4*k - 195 - 13. Calculate the highest common divisor of o and k. 26 Let m = 1264 - 410. Calculate the highest common factor of m and 14. 14 Let q = -14 + 21. Let g(c) = c**2 - 8*c - 2. Let s be g(q). Let r be (-66)/(-4) + s/18. What is the greatest common factor of r and 48? 16 Suppose 28 = -148*y + 150*y. Let j = -4 + 32. What is the greatest common divisor of j and y? 14 Suppose 4*o + 5 = 1. Let t be o/(-7) - 117/(-63). What is the greatest common factor of t and 6? 2 Let x(a) = -a**2 + 2*a + 3. Let m be x(-3). Let c = -7 - m. Let q = -17 - -52. Calculate the highest common divisor of c and q. 5 Let c = 20 - -6. Suppose -p = p - c. Suppose 5*f + 151 = 4*l, 7*l - 2*l = 3*f + 192. Calculate the greatest common divisor of l and p. 13 Suppose 5*g + 38 = 4*a - 6, 2 = 3*a + 4*g. Suppose 0*w - 18 = 3*w. Let j be (-40)/a*9/w. What is the greatest common divisor of j and 30? 10 Suppose 0 = 4*a + x - 1, -3*a + 2*a - 5 = 2*x. Suppose -4*j = -3*k + 18, -5*k - 5*j - 6 = -a. What is the greatest common divisor of 3 and k? 1 Suppose -78*t + 115 = -73*t. What is the greatest common factor of 69 and t? 23 Let l(y) = y**2 + y + 3. Suppose -3*x - 11 = 2*k, 4 = -4*k - 2*x + 2. Let j be l(k). What is the highest common factor of 27 and j? 9 Let h(j) = 2*j**2 + 68*j + 46. Let t be h(-34). What is the greatest common divisor of 2645 and t? 23 Let v(p) = 4*p**2 + 6*p - 20. Let x be v(-4). Let a be 73/5 - (-2)/5. What is the highest common factor of x and a? 5 Let p be (-2)/((-4)/(-6)) + 39. Let a = 20 - p. Let b be ((-84)/a)/((-6)/(-16)). What is the greatest common divisor of 21 and b? 7 Let i be 2/(16/11880*5). What is the highest common divisor of 54 and i? 27 Let x(t) = 55*t**2 - t - 1. Let z be x(-1). Suppose -5*g + 2*b + 3*b = 95, -4*b - 44 = g. Let k = -2 - g. Calculate the greatest common divisor of k and z. 11 Let n be 3*(7 - -1)*1. Suppose 14*k = 7*k - 896. Let h = k - -200. What is the highest common factor of h and n? 24 Let p be ((-4)/(-6))/(6/45). Suppose -2*h + 0 + 2 = 2*l, -p*l - h = 11. Let u be 2/l*(2 - 5). Calculate the highest common factor of u and 3. 1 Let p = 128 + -117. Calculate the greatest common divisor of 407 and p. 11 Let b = -21 - -10. Let n = b - -23. Let a(i) = i**3 + 10*i**2 + 3*i - 6. Let p be a(-7). What is the greatest common factor of p and n? 12 Let x = 2258 - 2250. Suppose -27 = -0*h - 5*h + t, 3*h = 5*t + 25. Suppose l - 16 = -4*m + m, -h*l - m = -10. Calculate the greatest common factor of x and l. 1 Let p = 256 + -88. What is the greatest common factor of 21 and p? 21 Let b = 3 - -27. Let i(r) = 9*r**2 + 12*r + 3. Let l be i(-2). Calculate the highest common factor of b and l. 15 Let t(a) = 4*a - 36. Let q be t(10). Suppose 3*u = -3*h + 30, u + 4*u - q*h = 59. Let m = -28 + 61. Calculate the highest common factor of m and u. 11 Suppose 4*h + 2*h + 4*n - 4032 = 0, 0 = n. What is the highest common divisor of 42 and h? 42 Suppose -j = -3*x + 19, -8 = 4*j + 8. Suppose -5*s + 347 = c - 311, x*s + 2*c - 656 = 0. Calculate the greatest common factor of s and 12. 12 Let n = -1801 - -2124. Calculate the greatest common factor of n and 187. 17 Let p be (30/4)/(-5)*-4. Suppose -2*h = -p*h - 4*k - 32, 4*h - 5*k = -50. Let u be h/(-5) + (-306)/(-2). What is the greatest common divisor of 31 and u? 31 Let d = -22 + 58. Let x = -9137 + 9533. What is the greatest common factor of x and d? 36 Suppose -44 = z - 142. Let d = 107 - z. Let k(a) = a**3 + a**2 - 2*a - 3. Let l be k(3). Calculate the greatest common divisor of l and d. 9 Let y(o) = 12*o - 8. Suppose 0*n - 2*n = 3*b - 16, -3*b = -2*n - 8. Let d be y(n). Suppose s = -s + d. Calculate the highest common divisor of s and 4. 4 Let p(h) = 6*h**2 + 7*h - 4. Let b be p(-4). Let y(t) = 43*t**2 - t. Let n be y(-1). Suppose 4*r - b = n. What is the greatest common divisor of r and 9? 9 Let d be (0 - (-14)/(-21))*-90. Calculate the greatest common divisor of d and 5. 5 Suppose -3*y - 240 = -7*y. Let s be (-101)/(-2) - (2 - (-5)/(-2)). Let q = 63 - s. What is the highest common factor of q and y? 12 Let i(v) = -v**3 + 2*v**2 + 1. Let y be i(-2). Suppose 4 = b - 7. Let u = b + y. What is the greatest common factor of u and 308? 28 Suppose -4*g + 3*o + 134 = -331, 4*g + 2*o - 450 = 0. What is the greatest common divisor of g and 76? 38 Suppose -6 = -5*t + 2*p, -t + 14 = 3*t + 3*p. Let d(i) = 3*i**3 + i**2 + i - 3. Let s be d(t). Let j = 33 - s. Calculate the greatest common factor of j and 12. 6 Suppose m = -0*m + 12. Let h(a) = -a**3 - 14*a**2 - a - 7. Let g be h(-13). Let o = 223 + g. What is the greatest common divisor of m and o? 12 Let n(h) = h**2 - 4*h + 3. Let y be n(0). Suppose 3*m = -6, 2*f = 2*m + y*m + 36. Calculate the greatest common divisor of 26 and f. 13 Suppose -15*p + 33 + 57 = 0. Calculate the highest common divisor of p and 306. 6 Suppose -2*q + 2*o + 13 = 3, 3 = -3*o. Calculate the greatest common divisor of 206 and q. 2 Suppose -32*r + 4 = -31*r. Suppose -3*i = -5*i + 20. Calculate the greatest common divisor of i and r. 2 Suppose 5*k - 3 = p, 0 = -k - 4*k - 2*p + 9. Let y(d) = 17*d**3 - 3*d + 2. Let o be y(k). Calculate the greatest common factor of 16 and o. 16 Suppose -5*k + 0 + 10 = 0. Suppose 0*h - k*h + i = -29, -5*i + 35 = 2*h. Let d = h + -8. Calculate the greatest common factor of 35
{ "pile_set_name": "DM Mathematics" }
-3/7 Calculate ((-210)/245)/(63/196). -8/3 (160 - 158)/((-6)/33 + (-24)/(-11)) 1 Evaluate (-44 + 39)/(30/72). -12 What is ((-60)/(-140))/(54/21)? 1/6 Evaluate (-7)/(-42)*-6 - (-4)/(-1). -5 Evaluate (144/9 - (-1188)/(-81))/(22/(-6)). -4/11 Evaluate -26 + 0 - -16 - (4 - 15). 1 What is the value of 11/33*57/(-76)? -1/4 Calculate ((-714)/(-476))/(3/20). 10 Evaluate 22/(-22) + (-51)/(-42). 3/14 What is the value of (-16)/(-6)*(((-57)/(-12))/(-19) - 2)? -6 (-12)/(-14) + (-664)/252 - (-1 - 1) 2/9 What is (12/(-30))/(272/8500)? -25/2 What is (-656 + 646)*(-12)/(-50)? -12/5 Calculate (-1)/9 - (-990)/2835*49. 17 Calculate (-6)/(-2*(-132)/(-176)). 4 What is 28/((-2184)/(-1066)) + 5/(15/(-8))? 11 (-1)/6 + 2666/11532 2/31 3/1 + ((-24400)/(-168))/(-50) 2/21 What is (20/(-21) - -1)/(50*(-19)/1140)? -2/35 14/10 - (392/180 + 48/(-108)) -1/3 What is 5/((-840)/(-16)) + (-34)/63? -4/9 What is (22/(-68))/(229/(-1374)) - (3 - 1)? -1/17 What is ((-21)/((-58)/(-4) - 16))/(1*10)? 7/5 What is (10 - 31) + (48 - 5)? 22 What is (-18)/189 + (-640)/(-15540)? -2/37 What is the value of (-27)/(-6)*(-1 - 132/(-108))? 1 (-1304)/11736*(-2)/(-2) -1/9 What is the value of 552/48 - (-2)/(1 + -5)? 11 What is the value of (-1 - -2)*2*(25/(-115))/5? -2/23 Evaluate ((-12)/(-117))/((-117)/(-270) - 4/40). 4/13 What is the value of (-2 - 53/(-4)) + (-18)/2? 9/4 What is (244/(-114) + 2)*(-267)/356? 2/19 What is -70*7/(-2730) - (-2)/13? 1/3 Calculate (-2 - -2) + (135/27 - 3). 2 What is (-19)/((-627)/(-44)) - -4 - 2? 2/3 What is (-6)/10 - 1961/(-2385) - (-32)/(-225)? 2/25 What is (-34)/(-2125)*25*(-15)/93? -2/31 Calculate -4 + (-658)/(-42) + -12. -1/3 (-321)/126 - 8292/(-4837) -5/6 What is ((-104)/39)/((-14)/(-6)) + 264/(-14)? -20 Evaluate (17*(-275)/(-5525))/(2/26). 11 ((-13)/(-650))/(75/5250) 7/5 Calculate 8/(-104) + (6 - (-2565)/(-455)). 2/7 What is (-1175)/940 + (-73)/12*1? -22/3 Evaluate (-2)/(-8) - (-146)/(-40) - 1032/(-258). 3/5 What is (-6)/32*(66/(-11))/6*-1? -3/16 (30/(-55))/((-45)/330) - 3 1 ((-341)/22 - -8)/((-15)/(-6) + -2) -15 2*(18 - 742/36) + 2/9 -5 Calculate 9724/(-238) + 52 + -10. 8/7 Calculate 25/2*(-32 + 9 + 8 + 13). -25 Evaluate (24/2013)/((-400)/(-1100)). 2/61 What is (-56 - (-5028)/90)/((7/(-40))/7)? 16/3 (-12)/5 - (-51636)/(-3310) -18 Evaluate (21 + 6)/(-324) - (-179)/(-12). -15 What is the value of (1 + 200/(-56))/(33/308) + 9? -15 Calculate 2/17 + (30/(-170))/((-5)/(-315)). -11 (-286)/22 - (-132)/10 1/5 (2 - 79/(-28)) + 8 + (-1200)/140 17/4 What is ((40/44)/(-5))/1*(-6)/(-4)? -3/11 Evaluate ((-2)/242)/(690/(-3795)). 1/22 ((-15)/50)/(20/35*35/50) -3/4 Evaluate (5*3/(-90)*-12)/(-12). -1/6 What is -6 - ((-8)/196 - 591/98)? 1/14 What is (-9139)/(-399) + -8 - 15? -2/21 Calculate (57/9 - 2) + 5 + 66/(-6). -5/3 What is the value of ((-14620)/(-430))/(-1 + 0)? -34 What is (-2)/(-16) - (-68*(-5)/(-120))/(-12)? -1/9 13/(-195) + -1 - (6 - 35/5) -1/15 What is (2 - -2)/((-989)/46 - -22)? 8 Calculate (-2760)/(-130) - (-51)/(-221). 21 Calculate (2 + (-273)/168)*2/9. 1/12 Evaluate (12/22)/(2 + -22 + 21). 6/11 Evaluate (-3857)/553 + (-8)/316. -7 What is the value of (41 + -51)*(-2)/(-18)? -10/9 What is 1/72*15 + (-65)/15 + 4? -1/8 What is 15/(525/230) + 6/14? 7 Calculate (-1)/((-8)/30)*(-621 + 629). 30 What is (324/(-5940))/(-3 - (-124)/44)? 3/10 Evaluate (((-459)/(-10))/(-9))/((-84)/70) - 6. -7/4 (-267)/108 + ((-5)/(-12))/(330/176) -9/4 Evaluate (-31)/((-93)/(-18))*(0 - 10/3). 20 Evaluate (-100)/(-90)*(-124)/(-155). 8/9 ((-10)/18)/(-25 + 2755/114) 2/3 What is 10/4*24/(-228)*-38 + -41? -31 Evaluate 2/(-87) - 23016/611842. -2/33 What is the value of (30/54)/((-30)/(-288)*-4)? -4/3 Evaluate 19/6*(-150)/25. -19 Calculate 4 + (1 - -4)*-1 + 130/260. -1/2 Calculate -11 - (-4 + 17/((-612)/372)). 10/3 Evaluate 10/4 + -3 - (-1633)/(-142). -12 Calculate 9/99 + 2736/(-693) + 3. -6/7 Evaluate (-2)/6*(-558)/(-1302). -1/7 What is (395/5451)/(15/(-18))? -2/23 What is (-1 - -3) + -6 + (-34632)/(-8732)? -2/59 108/26 - (-528)/(-3432) 4 What is the value of -6 - (-22 - -4 - -4)? 8 What is (((-33)/(-264))/((-2)/(-4)))/((-2)/(-2))? 1/4 What is (-3756)/420 + -4 + 690/175? -9 What is (-45 - (31 - 68)) + 98/12 + -2? -11/6 What is (-84)/(-8)*(166/133 - 302/2869)? 12 What is the value of 9*7*(-7)/49? -9 Evaluate 1/(38/832) + 252/2394. 22 Calculate (245/(-175))/((-728)/(-130)). -1/4 What is 9/(27/12)*-2? -8 Evaluate 196/35 + -7 + (-2)/(-5) + 15. 14 Evaluate (-612)/(-216) + (-2)/(-4)*-4. 5/6 What is the value of 20/8*(-20 + 21 - (-14)/10)? 6 14 + 0 + -37 + 55 32 What is -1*(-10 - -11) + (13 - 2)? 10 Evaluate (3/(-4))/((-510)/(-340)). -1/2 What is the value of 3584/(-256) - (-206)/16? -9/8 Calculate (-21762)/1953 + 1/7. -11 What is the value of (39 + -52)/((-6 - -7) + -2)? 13 Calculate (18/12)/(5 - (-62)/(-12)). -9 (-130)/(-14) + -8 + 0 + -1 2/7 Evaluate (0 + 2 - (-4223)/(-3605)) + (-2)/5. 3/7 What is (5/(-5))/((-310)/(-93))? -3/10 Evaluate 20 + 48/3 + -21. 15 13468/1480*10/28 13/4 Evaluate ((-576)/(-180)*175/60)/((-8)/(-6)). 7 What is the value of ((-126)/72)/(161/368)? -4 Calculate (17043/(-3172))/(-19) - 3/12. 2/61 What is (10/(-6))/(-1) + 782/(-102)? -6 What is the value of ((6 - 80/(-24)) + -14)*6? -28 What is (3/(-21))/((-4)/(-28)) - (-26)/22? 2/11 What is (27 - 6) + 13/(-1)? 8 Calculate (5 - (-9)/(-18))*16/(-12). -6 What is the value of (-10)/(-4)*81/945*16/(-36)? -2/21 Calculate 212 + -208 + (-39)/12. 3/4 Evaluate 6/(-5)*((-196)/21 + 16). -8 What is the value of 44/(-55) + (-1711)/(-145)? 11 What is (4 - 34)*21/(-63)? 10 4/5 + (-351)/45 -7 (-2)/(12/3*572/104) -1/11 Calculate (-72*30/(-600))/(1/(-5)). -18 What is (-620)/775*(-4)/((-24)/(-5))? 2/3 Evaluate (2682/(-1192))/(1/4). -9 Calculate 9 - 10*2/20*(5 - 2). 6 What is (-638)/(-165) + -8*6/12? -2/15 Calculate 168/(-1364) - (-10)/310. -1/11 What is ((-1)/(-2))/((-1131)/(-348))? 2/13 (-27)/(-189)*(1 + (-4)/8)*2 1/7 Calculate (-78)/(-48) + -2 - (-1070)/80. 13 (-132)/135 - ((-360)/75)/4 2/9 What is the value of 1 - ((-6800)/1156 + ((-12)/51)/2)? 7 Calculate (-5 - 29)*(-2 - -3)/(0 + 2). -17 Calculate (-5)/(50/(-30))*1. 3 What is 40/(-90) - 286/1584? -5/8 What is 1764/(-420)*(-30)/9? 14 Calculate 1 - -1*-4*(-7)/(-4). -6 What is the value of (-17 + 2032/120)*3? -1/5 (-44200)/188292*3/(-25) 2/71 What is the value of 2/(-10)*(-78 - -74)? 4/5 ((-81)/30)/3*777/4662 -3/20 Calculate -3 - (12 + 1) - -4. -12 Calculate (-862)/96 - (44/(-5) + (-31)/155). 1/48 Calculate (6/(-72)*-2)/((20/45)/(-4)). -3/2 What is ((-4)/(-38))/(804/1273)? 1/6 What is (-41)/152 + (8/(-76))/(10 - 9)? -3/8 What is 813/(-4878)*(-9)/(-2)? -3/4 What is the value of 13*1/9 + (-47 - -75)/(-28)? 4/9 Evaluate 6*6/24 - (-11)/(-7). -1/14 What is 1*9 + ((-1368)/117 - -3)? 4/13 40/(-99) - 14*25/(-1925) -2/9 What is (33/((-759)/92))/((-8)/14)? 7 Evaluate ((-24)/(-15))/((-3120)/1170). -3/5 What is the value of 14*5/(-10) + -8 + (1 - -8)? -6 Calculate -6*(-9)/108*13/((-273)/6). -1/7 What is the value of (6/33)/(1 - 5)*(-210)/(-210)? -1/22 Calculate (-4950)/748 + (-2)/(-17) - (-4)/1. -5/2 Calculate (867/34 + -25)*16/72. 1/9 Calculate 3/(-30) + 128460/96600 + (-16)/14. 2/23 What is the value of (-1404)/1755 + 44/5? 8 (-3 - 110/(-10)) + 7/((-7)/20) -12 What is the value of (-24*51/544)/((-99)/(-24))? -6/11 What is (82/(-410))/(2/8)? -4/5 What is (10/(-8))/(-5) + 720/(-64)? -11 (-6)/(-9)*((-6)/32)/((-81)/(-162)) -1/4 What is (-16)/152 + (-452)/38? -12 What is 280/21 + (-13)/39? 13 What is the value of 0*(7 - (-4 - 387/(-36)))? 0 Evaluate ((-1)/6)/(231/990). -5/7 Evaluate ((-4)/(-72)*6 + (-1)/(-6))*-4. -2 What is the value of 27 + (-96)/40*(-20 - -25)? 15 What is the value of (3120/(-180))/((-44)/33)? 13 Evaluate (-506)/23 + 42 - 23. -3 Calculate 286/33*252/182. 12 What is -1*(-7 + 13) - -7? 1 6 + 0 + (-110)/20 - 5/(-10) 1 Calculate (-9)/(2907/(-34)) + 28/95. 2/5 ((-74)/36 - -1) + (-2288)/5148 -3/2 Calculate (-95)/234 - 53/1378 - 65/(-207). -3/23 Evaluate 10/4*48/(-180). -2/3 What is (-49)/((-1666)/306) - -15? 24 Evaluate (-1 - 1083/90 - -8) + 5. -1/30 Evaluate (-1)/2*5*(2511/(-195) - -13). -4/13 Calculate 7998/1290 + 1/(1/(-6)). 1/5 Calculate 8*(-2)/(-32) - 57/6. -9 Calculate 1320/(-2860) - 71/(-13). 5 What is 88/6 - (-4790)/1437? 18 Evaluate ((-93)/(-155))/((-26)/(-50)*(-120)/(-16)). 2/13 3664/(-184) - 3
{ "pile_set_name": "DM Mathematics" }
4). Which is greater: a or 1? 1 Suppose -2*x + 4*x = -4*c + 10, -c = x - 3. Is -4/15 not equal to x? True Let c be (-2)/16*-2*(16 + 14). Is c smaller than 9? True Let q = 44 + -312/7. Is q greater than or equal to 1/2? False Suppose -3*z - 9 - 6 = 4*r, -2*z - 14 = 4*r. Which is smaller: -4 or r? -4 Suppose 4*t = 5*y - 12, 3*y + 5*t = -0*y - 15. Which is bigger: y or -4/15? y Let h be 30/24 - 2/8. Let p = 9973/135 - 369/5. Which is bigger: h or p? h Suppose -2*o - 4 = -o. Which is greater: o or -2? -2 Suppose 5 - 23 = -t. Suppose 3*u - t = -0*u. Suppose 0 = 5*x + 4*r - 11, -2*r + 3 = -x + u*x. Which is bigger: 0 or x? 0 Suppose -2*h + 3*d + 6 + 0 = 0, -h - 4 = 2*d. Suppose 3*j - 3*i - 18 = h, 3*j + 10 = 4*i + 29. Which is smaller: j or 4? 4 Suppose 4*f - 4*p - 4 = 0, 0*f = 3*f + 3*p - 9. Suppose n - 60 = -f*n. Suppose 7 + 5 = -5*i + 3*r, -n = 5*i - 5*r. Which is bigger: -1 or i? i Let o be 6/(-52)*8/(-6). Which is bigger: 0 or o? o Let x(z) = -z - 3. Let c be x(-4). Let a(f) = 12*f**2 + 1. Let p be a(c). Let g = -25/2 + p. Which is bigger: g or 1? 1 Let t(p) = -p**2 + 14*p + 20. Let l be t(16). Is -13 less than l? True Let f = 69 + -68.9. Do 55 and f have different values? True Let k = 6.5 + -7. Which is smaller: k or -0.3? k Let c = 772/9 + -86. Suppose 4*i - 5*p - 14 = 0, -3*i - 4*p - 3 = 2*i. Are c and i unequal? True Let j = 9 + 5. Which is greater: 16 or j? 16 Let q(j) = -j**3 - j**2 + 3*j + 3. Let w be q(-2). Let g = -16/11 - -37/33. Which is smaller: w or g? g Let j(v) = 21*v**2 - 1. Let i be j(-1). Suppose m + 5*l + 6 = i, 1 = 2*m + l. Is m bigger than -3/4? False Let n be -2 + (3 - (-3 + -144)). Let p be n/88 - 3/2. Which is greater: 1 or p? 1 Let w = 41/217 + 3/31. Let x = -7 - -6.94. Is x greater than w? False Let q(i) be the second derivative of i**4/12 - i**3/6 - i**2 - 4*i. Let x be q(0). Which is greater: -5/2 or x? x Suppose r - 1 = 4*n + 16, 2*r + 5*n = -18. Let a = -92172 + 12258707/133. Let q = 16/19 + a. Are q and r equal? False Let n = 9 - 3. Suppose 2*d = -d + n. Let a be -1*(-1 - 1) + -3. Which is smaller: a or d? a Let y(w) = -w**3 - 2*w + 3. Let o be y(2). Is -9 greater than o? False Suppose 0 = -i + 4*i. Let z = 223/6 + -37. Which is greater: z or i? z Let y(z) = -3*z + 3. Let j be y(9). Let n be ((-1)/(-10))/((-66)/j). Which is smaller: 0 or n? 0 Let m = 2 - 13. Let y = m + 11. Is y at least -0.01? True Suppose 2*x - 51 = -5*c - x, -2*c + 28 = 5*x. Suppose 4*f = 5*i + 17 + 36, 2*f = -i + c. Which is bigger: 9 or f? 9 Let u = 12 + -12.02. Is u less than or equal to 0? True Let y(t) = -2*t + 14. Let i be y(7). Let v(c) = c**2 - c + 1. Let h be v(i). Is 2 > h? True Suppose 2*p + p + 2*i = 23, -p - 11 = -4*i. Is 5 > p? False Let z(y) = -y**2 + 14*y + 20. Let k be z(15). Suppose -6*b - r - 43 = -2*b, 0 = -2*b - k*r - 35. Is b less than or equal to -10? True Let x(r) = 3*r - 41. Let w be x(28). Is w greater than 43? False Suppose 0 = -4*a + 2 + 14. Suppose n + 0*i + a = i, -2*i = -n - 9. Is n greater than 3/2? False Let w be ((-6)/42)/((-8)/7). Suppose 0 = 3*m - 3*a + 3, -32 = -m - 5*a - 9. Suppose m = -4*f + f. Which is bigger: w or f? w Let z = -433/4 + 107. Suppose 3*q = 2*q - y + 2, 4*q = 3*y - 6. Which is smaller: z or q? z Let v = 0.26 - 10.26. Let d = v - -9.8. Let q be -1 + (14/6 - 2). Is d smaller than q? False Suppose -5*q - 25 = 3*x - 0*x, 4 = 3*q - 2*x. Is -3/2 smaller than q? False Suppose 16 = 7*u - 33. Suppose -9 - 5 = -2*q. Do u and q have the same value? True Let c(i) be the third derivative of -i**5/60 + 5*i**4/24 + 3*i**2. Let p be c(4). Which is smaller: p or 5/2? 5/2 Let p = -6 - -6.2. Is p less than or equal to 2/3? True Let z be (-1 - 1)*(-69)/6. Suppose -6 = 5*n + 4*r - z, -3*n - r + 6 = 0. Is 1 less than or equal to n? True Let j = -17 - -22. Suppose -5*h = -38 - 22. Let q = h + -6. Do j and q have different values? True Let o = 10579975/1074 - 9851. Let f = 88073/5370 - o. Let y = f + -17. Is -2 equal to y? False Let q = -1/30 - -67/210. Let w = -2 - -5. Suppose -4 = 5*t - 2*f - 3, 1 = w*t - 2*f. Is q at least t? True Let m = -18 - -13. Is -2 < m? False Let w(b) = -b**3 - 17*b**2 + b + 18. Let k be w(-17). Which is smaller: 1/2 or k? 1/2 Suppose 25 = -5*o + 5*g, 0*o = 2*o + g - 5. Is -14/29 <= o? True Suppose -6*g + 90 = -4*g. Which is greater: 44 or g? g Let b = 6 - 2. Let u = b + -3. Is u smaller than -2/5? False Let r = -1504/19061 + -9/389. Which is smaller: r or -1? -1 Let r be (-10)/(-112)*(-14)/(-35). Which is smaller: r or 1? r Let z(m) = -m**3 - m**2 - m - 1. Let n = 15 + -15. Let w be z(n). Let c = 29/4 - 7. Is c less than w? False Let u = -5 + 2. Let z = u + 1. Is -2 at most as big as z? True Suppose 0*r - 2*r + 30 = 0. Do 14 and r have the same value? False Let t = 27 - 24. Suppose -v = 1 - 2. Let s = v - -2. Is t greater than s? False Let a = -143.7 + 151. Let i = 7 - a. Is i greater than or equal to -1? True Let r be (-6)/(-2) - (1 + 1). Let t be r/(((-4)/6)/(-1)). Is -1 <= t? True Let g = -15 - -29. Let h = g - 96/7. Which is smaller: h or -1? -1 Let l = -41/5 + 98/15. Let m = 8 - 10. Is l less than m? False Suppose 4*f - 2*f - 23 = -3*w, -3*f = -2*w - 2. Which is greater: f or 7? 7 Let g be 32/14 + 4/(-14). Suppose x + 1 = -3, -2 = 5*l - g*x. Let u be 0 - 1/(-4)*-2. Which is smaller: u or l? l Suppose 3*p + 0 = -a - 1, -p + 3*a + 3 = 0. Let z = 0 - p. Is -2/3 at most z? True Let k = 1 - 17. Is -17 less than k? True Let p be 4/18 - (-224)/(-954). Is p smaller than 1? True Suppose -i - 2*l + 14 = 0, 0 = 3*i + 3*l - l - 34. Which is smaller: 14 or i? i Let f(q) = -q**3 + 2*q**2 + 5*q - 4. Let z be f(3). Let n be -8*3/(-6)*z. Suppose -2*x = 2*x - n. Which is bigger: x or 1? x Let j(m) = -3*m**3 + 3*m - 4. Let f(u) = u**3 - u**2 + 1. Let d(c) = -4*f(c) - j(c). Let r be d(2). Let p = r - 4. Are -1 and p unequal? True Suppose 3*x + 2*x + 5 = 0. Let b(m) = m**2 - 8*m - 9. Let l be b(9). Suppose -3*v + 2*r + l = -3, -2*v - 11 = 3*r. Is x at most v? True Let p = 0.018 - 28.018. Let w = p + 32. Is w at most as big as -3? False Suppose -3 = -x, -2*i + x = 14 - 7. Is 2 >= i? True Let l = 142 + -97. Is l > 45? False Suppose q = -10 + 9. Which is smaller: q or 2/51? q Let b(f) = -2*f - 13. Let a be b(-8). Which is greater: a or 0.2? a Let m be -1*(2 + (-3 - 0)). Which is smaller: m or 0? 0 Let q = -31 + 33. Let t = 0.1 + -0.4. Let w = -1.3 - t. Which is smaller: w or q? w Suppose -4*p + 1 + 27 = 0. Which is bigger: 8 or p? 8 Let l(b) = b**3 - 3*b**2 - 2*b - 5. Let p be l(4). Let d = p + 0. Which is bigger: d or 1? d Let t = 46 + -35. Which is bigger: 1/3 or t? t Let j = -1.77 + 0.17. Let l = j - -0.6. Let h = -1 - 0. Do h and l have the same value? True Let v(b) be the second derivative of b**4/12 - 7*b**3/6 - b**2/2 + 2*b. Let n be v(7). Which is smaller: -0.04 or n? n Let l be 2*1/(-3)*(-6)/(-4). Which is smaller: l or 2/69? l Let y be (20/(-35))/(4/2446). Let f = y + 350. Let u = 6 + -4. Do f and u have the same value? False Let p = 10 - 16. Suppose -4*y = 2*x + 20, 3 = -2*x - 2*y - 13. Do p and x have the same value? True Let f = 24 + -13. Let q = f + -7. Let d = -4 + q. Are d and 0.1 nonequal? True Let r = -1 - 1. Let v be (-1 - -2)*(-1 + 1). Is r greater than v? False Let r = 7 + 2. Which is greater: 10 or r? 10 Let n = -3 - -6. Let p = n + -6. Let o be 3*(0 + p/(-9)). Which is bigger: -1/6 or o? o Let p be 1/((-3)/(-18)) - -3. Let g be (p/51)/(3/2). Is g at most -0.1? False Let v = -0.01 - 0.39. Let k = v - -0.6. Let p = k - 0.1. Which is smaller: p or 1/2? p Let t be -1*(-1 + -1)/(-2). Suppose 0 = 4*y + 5*x - 6, -4*y + y - 5*x = -2. Let l be -2 + -1 + 13/y. Is l equal to t? False Let w(v) = -1 + 3 + 2*v + 11. Let k be w(-6). Is k > 1/18? True Let s be ((-6)/(-4))/1 + 15/(-30). Which is greater: 3/13 or s? s Suppose -2*p + 16 = 2*k, k = 4*k + 5*p - 30. Let g be (-1)/k - (-76)/180. Which is smaller: g or -2/5? -2/5 Let n(l) = 9*l + 1. Let g be n(-1). Let r be (-8)/(-21)*-2 - (-3)/7. Which is bigger: g or r? r Let z be (-9)/(-30)*4/(-9). Let j(i) = i. Let x be j(6). Suppose -3*n = -x*n - 3. Are n and z non-equal? True Let g = 4.5 - 9. Let q = 0.5 - g. Let j = -15 + 15. Is j not equal to q? True Let p(q) be the third derivative of -q**4/24 - q**3/6 + q**2. Let t(j) = 2*j - 2. Let b(a) =
{ "pile_set_name": "DM Mathematics" }
t f = 88 - 99. Which is greater: d or f? d Let n = -1043 - -347. Let t = n - -21578/31. Are t and -1 nonequal? True Let o = -329 + 279. Are o and -51 unequal? True Let u = -47 - -59. Suppose 0 = -o + m, 0 = -o + 3*m + m - u. Suppose -2*s - 5 = -y, 2*y - 3*y = s + 4. Which is greater: o or y? o Suppose 29*j + 42 = -40*j + 83*j. Let v = -467 - -3286/7. Is v greater than or equal to j? False Let s be (-4 - 3962/(-77)) + (-12)/(-22). Is -6 not equal to s? True Let b(j) = j**2 - 8*j - 2. Let h be b(5). Suppose 70 = -3*x - 2*n, -5*x - n = n + 110. Is x > h? False Let f = 160/383 - -136377/2681. Suppose -3*t = -i + 39, 5*i = -2*t + 23 + 240. Let m = f - i. Is 0.2 < m? True Let s(z) = 2*z**2 + 2 - 11*z**3 - 2*z + 5*z + 2*z**3. Let k be s(-1). Let o be (-6)/(-10) + (-4)/k. Which is greater: o or -0.2? o Suppose -26 = 2*i + 3*b, i - 5*b - 6 = -32. Let k = 22 + i. Suppose 6*d = -0*d + k. Is d <= 3? True Let u(b) = -2*b**3 - 2*b**2 - 2*b - 2. Let j be u(-2). Let g = 408 - 406. Suppose -4*d + g*x = -7*d - 12, 2*d + j = -2*x. Is d at least as big as -11/4? True Let y = 2416 + -2380. Which is smaller: y or 35? 35 Let n = 76031/1470 - -23/294. Which is greater: n or 53? 53 Let b = 242 - 245. Are b and -13/5 unequal? True Let l(j) = j**3 - 2*j + 1. Let a be l(2). Suppose -g + 12 = -a*g. Do -3 and g have different values? False Suppose -5 = -4*z + 147. Let v = -30 + z. Which is greater: v or 9? 9 Let f = 99/428 - -2/107. Let a = 10.6 - 0.6. Let p = a + -9. Is p less than f? False Let y(v) = -7*v + 2. Suppose -5*u - 15 = -5*i + 30, -3*u = 4*i - 8. Let z be y(i). Let m = -23 - z. Does 9 = m? False Let p = 4.4 - -0.6. Let i = p + -18. Let u = -17 - i. Is u greater than -3? False Let x be -5 + -2 - (1 - 3). Let a(t) = t**2 - 11*t + 26. Let z be a(7). Is z < x? False Let r = -74 + 76.06. Which is smaller: -0.1 or r? -0.1 Let y(m) be the first derivative of m**2/2 - 6*m - 2. Let k(l) = l**2 + 3*l + 2. Let j be k(-4). Let z be y(j). Is -1/16 <= z? True Let b = -1 + 3. Let d be 1/2 + b + 207/(-6). Is -31 at least d? True Suppose -2*w = -5*o + 20, -o + 2*w = -2*o + 4. Let a be o/(-6) + 15/(-45). Which is greater: a or -2/5? -2/5 Let a = -20 + -6. Let y be a*(-1)/10 + -3. Suppose -3*t = -8*t - 135. Which is bigger: y or t? y Let s(n) = -7*n + 205. Let q be s(-15). Are 310 and q equal? True Let x = 804 - 804. Let s = 0.55 + -0.6. Which is smaller: s or x? s Let u = -54 + 69. Suppose 4*o - 3*s + 0 = 37, -o - 5*s = -u. Let w = -11 + 22. Is o >= w? False Suppose -l + 1 = -5. Let s(c) be the second derivative of -c**4/12 + 7*c**3/6 - 7*c**2/2 - 8*c. Let g be s(l). Are g and -7/5 nonequal? True Let z = 35 + -34.784. Let k = z - 0.016. Which is smaller: 20 or k? k Let p = -1625/44 - 16967/396. Which is smaller: p or -80? -80 Let f = -3.05 - -3.1. Let n = f - -0.05. Which is bigger: n or -1/2? n Let k = -0.124 - 7.376. Let p = 8.5 + k. Is p at most -30? False Let b = 57 + -145. Let s = 87.8 + b. Is s at least as big as -5/2? True Suppose 180*s = 183*s + 3. Suppose -1 - 29 = 3*a. Let o be (-2)/56*-6*a. Which is smaller: o or s? o Suppose 5*w - 2*y - 200 - 74 = 0, -2*y = 4*w - 230. Which is bigger: 55 or w? w Let h = 22.014 - 0.014. Let f = 40 - h. Let c = f + -21. Which is smaller: 2/5 or c? c Let v(c) = 12*c + 70. Let u be v(-6). Which is smaller: -8/15 or u? u Suppose -20*z = -23*z + 4032. Let f = z + -202942/151. Which is smaller: -1 or f? -1 Let h = 0.01 - -14.99. Let s = -22 + h. Let c = s - -6.96. Which is smaller: c or 0.1? c Let s(m) = m**2 + 6*m + 1. Suppose 0 + 15 = 5*k. Let j be (-6)/(-9)*k - 8. Let r be s(j). Is r smaller than 0? False Suppose 5*u + k = 16 - 42, 2*u = 5*k - 32. Let s be (-81)/198*4/u. Which is bigger: -1 or s? s Let h = -10 - -17. Let b(q) = -7*q - q**2 - 5 - 10 + h. Let f be b(-6). Which is bigger: f or -12/7? -12/7 Let l be (-86 + 83)*(-2 - (-10)/6). Which is greater: 1/2 or l? l Let y = 420 - 415. Which is smaller: y or 2? 2 Let c = -919.2 + 785. Let d = -134 - c. Let z = -3 - 4. Is z at least d? False Let m = -14 - -9. Let u(h) = h**3 + 3*h**2 - 12*h - 7. Let f be u(m). Suppose 10 - 1 = -f*w. Is w >= -2? False Let s = -1 - -1. Let y be 2 - (-10 + (0 - s)). Is 10 less than or equal to y? True Let d(j) = -2*j + 8. Let b be d(-4). Suppose 6*f + 124 = b. Suppose 0 = -h + 4, 0 = -2*a - 3*a - 3*h - 73. Is f smaller than a? True Let w = -142999/2841 + 2/2841. Let u = -50 - w. Suppose 7 = -5*k - 5*r - 3, 10 = -3*k - 5*r. Which is smaller: k or u? k Let c(d) = -d**2 + 6*d - 6. Let a be c(5). Let m be -1*(-2 + 2 + 1)*a. Which is bigger: -1 or m? m Suppose -34 = 13*d - 14*d. Let w be -12 + 11 - d/6. Which is smaller: w or -7? -7 Let p be 4/7 - 108/21. Let m = 146/35 + p. Suppose 3*s = s. Which is bigger: m or s? s Let g(n) = -n**3 - 8*n**2 - 8*n - 8. Let h be g(-7). Let f be 3/(-4)*(-34 - -2). Suppose -29*w + f*w = 0. Which is smaller: w or h? h Let j = -1405 - -1407. Is j <= -154? False Let x(o) = -o**3 - 3*o**2 + 7*o - 87. Let j be x(-9). Is j smaller than 339? True Let x(q) = -q**2 + 32*q - 209. Let g be x(22). Let y be (57/4)/(20/16). Is g less than or equal to y? True Let g be ((-6)/(-8))/(-3) - 0. Let m(f) = f**2 + f - 2. Suppose -2*r = -2 + 6. Let d be m(r). Is g <= d? True Let q be 8/(-1*(-2)/7). Let r = 2181 + -2154. Is q < r? False Let j = -35.2 - -35.3. Which is smaller: j or 67? j Let q be 4 - (-88)/(-14)*91/130. Is 59 equal to q? False Let y = -1.8 - -1.89. Let h = -2429 - -2432. Is h != y? True Suppose 9*g = 6*g - 3, -5*v + 4*g + 59 = 0. Let i(c) = c**3 - 13*c**2 + 21*c + 4. Let n be i(v). Suppose 2*z = -z - 24. Which is greater: n or z? n Let q = 12 + 23. Let v be 3/(-3) - (-2 + 0). Which is smaller: v or q? v Let k(n) be the first derivative of 3*n**2/2 - 6*n - 3. Let r be k(3). Suppose m - 1 = -w - 4*m, 29 = -r*w + m. Is w < 2/7? True Suppose 3*h - 15 = 0, 2*u + 14*h = 13*h - 57. Is -31 at most u? True Let d = -11.22 - -11. Let z = 0.058 + -0.478. Let v = z - d. Which is bigger: -5 or v? v Let y(k) = -4*k + 10. Let n(j) be the second derivative of 7*j**3/6 - 19*j**2/2 - 4*j. Let a(z) = -6*n(z) - 11*y(z). Let i be a(-3). Which is bigger: i or -5? i Suppose -5*v = h + 41, 2*h + 40*v = 35*v - 62. Which is smaller: h or -23? -23 Suppose -8*o + 18 - 26 = 0. Let y(j) = -j + 3. Let r(z) = 1. Let h(f) = -4*r(f) - y(f). Let i be h(6). Is i smaller than o? False Let h = 10 + -8. Suppose -5*y = 4*q + h, 3 = -y + q - 1. Let c(w) = w**3 + w**2 + 4. Let i be c(y). Is -5/4 < i? True Suppose 0 = -5*t - n + 12 + 4, 2*n = -2*t + 8. Let l be 2/t*60/8. Suppose -l*b - 6 = -11. Is b bigger than 1? False Let c = 122/63 + -50/21. Let n = 1 - 7. Let o = -5 - n. Which is smaller: o or c? c Let s = 25.28 + -0.28. Let i = -20.4 + s. Is 2/7 < i? True Let j = 9 - 6. Suppose 5*n = 2*x - 4, -12 = 2*x - 0*x + j*n. Let z be -1*(x + (-4)/(-1)). Which is greater: -4 or z? z Let z be 3/((-99)/273) - 1. Let f = 940/99 + z. Let i = -243 + 243.2. Which is greater: i or f? f Let z(k) be the second derivative of 9*k**5/20 + k**3/6 - 3*k**2/2 - 7*k. Let a be z(-3). Let b = 769/3 + a. Which is bigger: 8 or b? 8 Suppose 27*y + 1674 + 1863 = 0. Is y >= 0.2? False Let j(r) = -18*r - 1. Let m be j(0). Is -0.0074 smaller than m? False Let l = 853 - 853.11. Is 2/13 less than or equal to l? False Let n be 3 - (-4 - -1) - (-36)/9. Is n smaller than 11? True Let c = -0.08 - 1.02. Let b = 3.61 - 2.51. Let p = b + c. Is 0.3 at least as big as p? True Let u = 580/9 + -574/9. Which is smaller: 1/33 or u? 1/33 Let r = -3.9 - 0.8. Let v = r - -4.5. Which is smaller: -1/14 or v? v Suppose 0 = -u - 11*u + 144. Let h(m) = m**3 - 12*m**2 - 6*m - 27. Let p be h(u). Do p and -98 have different values? True Suppose -14 = -5*q + 1. Suppose n = -q - 2. Is -2 smaller than n? False Let t = -206.5 - -206. Are -14 and t nonequal? True Let o = -125/4 + 31. Which is greater: o or 2/9? 2/9 Let l = 356.845 - -1.155. Which is greater: -1/3 or l? l Let p(f) = f**2 + 6*f + 2. Let b be p(-3). Is -8 at least as big as b? False Let g be (-2)/((-12)/6) + 36/(-50). Let i = g + -143/600. Is i greater than -1? True Let c be (304/3420)/((-1)/5). Which is greater: -8/25 or c? -8/25 Let k = -10 + -7. Let c = -14 - k. Let f be ((-9)/c)/(-42)*-4. Which is smaller: f or -7? -7 Let y = 9 - -8. Suppose 2*q = 5*f, -2*q - 3 + y =
{ "pile_set_name": "DM Mathematics" }
, 5*z + 4*m - 14320 = -789. Is z a prime number? True Let s be (-9*(-3)/18)/((-12)/(-1376)). Suppose -399 = -g + s. Is g a prime number? True Suppose -4*a = -o + 521136, 2*o - 3*a - 892743 = 149539. Suppose -24*q - 107888 = -o. Is q prime? False Suppose -v + 607 = 63. Suppose h - v = -3*n, -h + 2*n = -0*h - 539. Is h composite? False Let k be -15*8/(-40) - (-86454)/2. Let i = k - 24963. Is i prime? False Is (4 - (-8 - -6)) + -4 + 678653 composite? True Let b = -188 + 201. Let r(a) = 96*a + 151. Is r(b) prime? True Let a(n) = n**3 - 13*n**2 - 2*n + 26. Let o be a(13). Suppose o = 4*u - 7*f + 2*f - 774, -2 = f. Is u a composite number? False Let k = -32718 - -82295. Is k composite? True Suppose x + 446819 = 5*r, 38*x - 43*x + 357432 = 4*r. Is r a composite number? False Let t be (57/95)/(2/(-110)). Let y = t - -48. Suppose 3*q = y, 5*l - q - 1545 = -3*q. Is l prime? True Suppose 12*c = 2*c. Suppose -5*g + 15136 = 2*z, 4*z - 30282 = -c*z - 5*g. Is z composite? False Let d be (0 - 1)*(120 - 16). Let i = d - -1191. Is i a composite number? False Let c = -3 + 5. Suppose 6*w = -15 + 945. Suppose -c*x + w = 3*x. Is x composite? False Suppose 0 = 5*p - p. Let c(w) = 459 - 3*w + 4*w + 105 + 291 + 428. Is c(p) composite? False Let l(a) = -18*a**3 - 6*a**2 + 7*a - 20. Let m(s) = -53*s**3 - 17*s**2 + 21*s - 61. Let p(i) = 8*l(i) - 3*m(i). Is p(10) prime? False Suppose t = 3*y + 36832, 5*t + 11*y - 12*y = 184132. Is t prime? False Let g = 154873 + -77834. Suppose -g = -3*z - 2*s, -28*z + 4*s = -31*z + 77041. Is z prime? True Let h be 39 + -1 + -2 + -4. Let m(r) = 2*r**2 - 51*r + 149. Is m(h) a prime number? False Let n(g) = 55303*g - 5. Let p be n(3). Is p/112 - (-6)/(-21) prime? True Is (-3 - (-1380741)/30 - 1) + (-6)/(-20) composite? False Let x be 1235283/18 + 8 - 1/(-6). Is (x/14 + -6)/(4/8) a composite number? True Suppose -3*v - 83865 = c - 208049, 2*v - c = 82786. Suppose 17*d - v = 48349. Is d composite? False Let r = 167178 - 54437. Is r a composite number? False Let z be (-28)/42 - ((-26)/(-3))/(-1). Suppose 0 = z*a - 9872 - 8936. Is a prime? True Let z = -108516 + 173353. Is z composite? True Let u be (2 + 0)*-1*-4. Let h(p) be the second derivative of 13*p**4/4 + 7*p**2/2 - 15*p. Is h(u) composite? False Let n = -1109 - 1104. Is (-2)/(4428/n - -2) a prime number? True Suppose 3*c = -p + 8*c + 112797, 4*c - 225566 = -2*p. Is p composite? False Is 17498100/748 - (8 - 2)*6/198 a prime number? False Let m = -1923104 + 3959917. Is m prime? False Let f(v) be the first derivative of -8*v**2 - 95*v - 4*v**2 - 3 + 96*v. Is f(-4) prime? True Let v = 833 - 835. Is 8 - 13 - (v + -1 + -2779) composite? False Let m be 1008/39 - (-12)/78. Suppose -m = 3*y + 4. Is 1 - -6 - (y/(-5))/2 a prime number? False Suppose 2*c - 1120 = q + 397, -3*c = -4*q - 2288. Suppose -3*m + c = -681. Is m composite? False Suppose 276681 = -2*t + 2*c + 1146347, -6 = 3*c. Is t composite? False Let k = -27984 - -50273. Is k composite? True Let t = 3344 + -3341. Let v = -8 - -13. Suppose 2*g - 366 = -b + g, v*g + 1138 = t*b. Is b a composite number? True Let y(v) = -v + 8. Let d be y(8). Suppose 0 = -6*t - 587 + 11915. Suppose -2*i = c - d*c - 946, -4*i + t = c. Is i composite? True Suppose -38*j + 65 = -25*j. Suppose 4*x = j*a - 1121, a + 7*x - 209 = 4*x. Is a a prime number? False Suppose 995*v - 10153032 = 971*v. Is v prime? True Let r = 75868 - 21027. Is r composite? True Suppose -9581 = -3*h + 4*p + 12199, -p = -3. Suppose 7*w - 4237 - h = 0. Is w prime? False Let s(l) = 2*l**3 - 28*l**2 + 21*l - 791. Is s(18) a composite number? False Suppose -53*i = -48*i - 139840. Let x = i + 1155. Is x a composite number? False Suppose -8*f - 10069 + 44725 = 0. Let d = -2431 + f. Is d a prime number? True Let y be (8 + -10)/(1/5). Let c(v) = v**3 + 16*v**2 + 28*v + 15. Is c(y) composite? True Let r(d) = -2*d**3 - 87*d**2 + 57*d + 105. Is r(-47) a prime number? True Suppose 0 = -52*p - 31*p + 390349. Is p a prime number? True Let o be -4 + -8*(-9)/12. Suppose 0 = -7*k + 4*k + a + 70199, -o*k + 46810 = -6*a. Is k prime? True Let j = -136931 + 362212. Is j composite? True Suppose -4*r = -15 + 3. Suppose -12494 = -5*o + r*j, -4*o + 9997 = -0*o - 3*j. Is o a prime number? False Suppose -53*t + 16*t = -3000478. Is (8 + (-105)/14)*t a prime number? False Suppose -5*u + 3*o - 9138 = -26375, 3*o = -5*u + 17213. Is u + ((-52)/(-14) - (-4)/14) a composite number? False Suppose -74 = -23*x - 5. Suppose w = -x*c + 1620, 202 = -3*c + 2*w + 1831. Is c a prime number? True Let y(b) = 144*b**2 - 63*b + 907. Is y(12) prime? True Let f = -94237 + 337526. Is f a prime number? False Let d = -956 + 1923. Suppose -p + 3*p = 0, -4*p = m - d. Is m a prime number? True Suppose 2*o - 20 = -3*o. Suppose 455 = o*r - 633. Suppose -r = -10*n + 58. Is n composite? True Suppose 4*w - 62 - 6 = 0. Let p(q) = 523*q - 3. Let m(s) = 174*s - 1. Let c(y) = w*m(y) - 6*p(y). Is c(-3) a composite number? False Suppose w = -2*p + 78, -2*p + 102 = 2*w - 7*w. Suppose p*d = -10*d + 3315. Is d a prime number? False Let a be (2 - -2) + 2/2. Let i(q) = 6*q**3 - 40*q**3 + 3 + 4 + 5*q + a*q**2. Is i(-3) composite? True Let d(z) = -4*z + 4. Let q(j) = j - 2. Let l(c) = d(c) + 3*q(c). Let u be l(-4). Suppose -1077 = -u*t - r, t - r - 510 = 27. Is t prime? False Suppose -3*w = -h - 9*w + 258241, 2*h - 516524 = -5*w. Is h a composite number? False Suppose 3*n = -5*b + 123468, -26*n - 123492 = -29*n + 3*b. Is n a prime number? True Let l(b) = 97*b**2 - 94*b + 1032. Is l(11) composite? True Suppose 4*w + 5*v = -3 - 5, 3*v + 9 = -w. Is (295/w)/(((-35)/(-7))/15) prime? False Let d = 123 - 76. Suppose 42*g = d*g - 25. Suppose -2*k = -0*k + g*c - 1157, 4*k = c + 2369. Is k prime? False Let a = -10500 - -24139. Is a a prime number? False Suppose -28054 = -8*o - 1030. Let z = -493 + o. Is z a prime number? False Let v(f) = 212*f**2 + 166*f + 73. Is v(38) composite? False Let n = -34 - -36. Let g(c) = c + 2. Let b be g(n). Suppose b*s + 345 = 1621. Is s composite? True Let w(d) = 1072*d**2 - 7*d + 1. Let k be w(5). Suppose -17*h - k = -139289. Is h a prime number? True Suppose -r + 920 = n - 2215, -3*r - 5*n = -9401. Is r composite? False Let z(k) = k**2 + 15*k - 4. Let r be z(-16). Let i(h) = 5*h - 17. Let t be i(r). Suppose -f + 250 = -t. Is f prime? True Suppose 4*n - 5*b = 2062 - 701, -5*b = -n + 344. Let h = n + -1209. Let x = -229 - h. Is x prime? True Let m(x) = -382*x + 125. Is m(-66) composite? True Let r(a) = -a**2 + 15*a - a**2 + 3 + a**2 - 10*a. Let c be r(5). Suppose c*f + 98 = 2*s, -2*f + 8 - 196 = -4*s. Is s prime? False Suppose -2*o = 2*b - 12, -b = 30*o - 25*o + 10. Let d(y) = -92*y + 17. Let w(r) = -92*r + 16. Let q(l) = 3*d(l) - 4*w(l). Is q(b) a composite number? False Let g = -8358 + 37810. Suppose -125401 = -9*k - g. Is k a prime number? False Is (3 + 13319)*(405/(-18))/(-9) a prime number? False Let f(a) = -39*a**3 + 2*a**2 - a - 3. Let g(i) be the second derivative of -i**4/12 + 4*i**3/3 - i**2 + 27*i. Let l be g(8). Is f(l) prime? False Let t(g) = 101*g**3 - 44*g**2 + 22*g - 2. Is t(5) a composite number? False Suppose 4*a + 4*c = 40, 3*a - 3*c = -0*c + 42. Let k(l) = l**2 - 11*l - 12. Let s be k(a). Is 885/3 - s - 0 a prime number? False Let u(r) be the second derivative of 10*r**5/3 + r**4/12 + r**3/6 + 21*r**2 - 19*r. Let l(j) be the first derivative of u(j). Is l(-1) a composite number? False Let a(p) = 1112*p**2 + 21*p - 64. Is a(3) prime? True Let g = 589 + -580. Let i(w) = 225*w - 6. Is i(g) a composite number? True Let o be ((-8)/(-6))/(28/(-588)). Is (-2)/(o/2) + (-1084)/(-7) a prime number? False Suppose -4*f + 130002 = 5*l, 4*l + 8*f = 4*f + 104000. Is l prime? False Suppose -14*v = -10*v + b + 25, -5 = b. Is (-1*v/(-15))/(4/(-43644)) a prime number? True Let a be (0 - -3 - 6) + (-48)/3. Let l = -18 - a. Is 15 - 14 - -1*l*46 prime? True Suppose -2*x + 3*z = 9820, x - 3*z + 0*z + 4910 = 0. Suppose 3*g + 0 = -9, 13 = -2*k - 3*g. Is x/(-10)*(-1 - k) a composite number? False Let x = 178 + -176. Suppose -3*w + 15 = 0, 5*l + x*w - 66862 - 643 = 0. Is l composite? False Suppose 3*z + 2 = -4, 0 = v - z - 2. Let t = 0 - -2. Suppose v = -s - 5*w - 222 + 1226, t*s - 1948 = 2*w. Is s composite? True Let d = -7 - -37. Suppose 4*s
{ "pile_set_name": "DM Mathematics" }
hich is the third biggest value? (a) d (b) i (c) 3 a Suppose -7 - 1 = -2*b. Let i = 2.2 - 6.2. What is the smallest value in b, i, 3/4? i Let i = -5 - 0. Which is the second smallest value? (a) -4 (b) i (c) 1 a Let z = 48 + -48.43. Let h = 0.03 + z. What is the biggest value in h, 0.2, 0? 0.2 Let k be 8/28 + (-4)/14. Suppose 4*q = 3*q. Let r = q + 1. What is the smallest value in k, -2, r? -2 Let j = -4.5 - -2.9. What is the second biggest value in -4, j, -5? -4 Let p(f) = -f - 2. Let m be p(-5). Suppose 5 = d + 2*k, -k + m = 3*d + 2*k. Let x be (4/(-6))/((-20)/24). Which is the smallest value? (a) d (b) -0.5 (c) x a Let m = 0.18 - -2.22. Let t = -2 + m. Let s = -0.32 + 0.02. Which is the smallest value? (a) 0.5 (b) s (c) t b Let r be 2655/(-126) + (-6)/14. Let l = 209/10 + r. What is the second biggest value in 0.4, -1, l? l Let d = 1.07 + -0.07. Let p = 0.9 - d. Which is the third biggest value? (a) p (b) -1 (c) 0 b Let q = 2.81 + 0.19. Which is the third biggest value? (a) 2 (b) q (c) 0.3 c Let f = 14/9 - 2/9. Let d be ((-10)/15)/(4/18). Let q be d + (-33)/(-12) + 0. What is the smallest value in q, f, 3? q Let y = 147.86 + -148. What is the second smallest value in -3, y, -4/5? -4/5 Let t = 141.3 + -141. Which is the second biggest value? (a) t (b) -2 (c) -0.7 c Let k = -0.18 + 0.2. Let t = 0.28 + k. Let f be (-171)/(-396) - (-1)/(-4). Which is the biggest value? (a) f (b) -2/9 (c) t c Let s be 6/30*4/6. What is the third smallest value in 0.4, s, 4? 4 Let g(w) = w + 11. Let m be g(-7). Which is the third smallest value? (a) m (b) 0 (c) 3 a Let y = -44 + 37.3. Let n = -1.7 - y. Which is the third biggest value? (a) 0.4 (b) 2/29 (c) n b Let i = -0.2 - 0. Which is the third smallest value? (a) -2/13 (b) i (c) 2 c Suppose 0*m + 3*m = 3. Let w be 1/(-5) + 0/(-2). Let f = -17/2 + 49/6. What is the third biggest value in m, w, f? f Suppose 1 + 3 = 4*w. Let x(h) be the second derivative of -h**4/12 + h**3/6 + 7*h**2/2 - 3*h. Let r be x(-3). What is the second biggest value in 5, r, w? w Suppose -3*r + 56 = -4*q, r = 3*r + 8. Let a be ((-840)/(-26))/2 - -1. Let u = q + a. What is the smallest value in 2, u, 5? u Let i = 6.2 - 6.4. Which is the fourth smallest value? (a) i (b) -0.4 (c) 0.4 (d) 1/2 d Let d = 52 - 48. Let g = 17 - 4. What is the biggest value in g, -3, d? g Let q(v) = 6*v. Let u be 3/(5/(15/9)). Let t be q(u). Let j be 56/12 + 2/t. What is the second biggest value in j, 1/2, 4? 4 Let s = -0.4 - -1.4. Which is the second biggest value? (a) s (b) -2/3 (c) 0.2 c Let s = 8 + -7.9. What is the second biggest value in -2, s, -1? -1 Let k = 69 + -93. What is the smallest value in 1/4, -2/13, k, 2? k Let h = 58 + -57. What is the second biggest value in 1/4, h, -7, 1/2? 1/2 Let z = -6 - -5.6. Let d = 53 + -373/7. Which is the third biggest value? (a) z (b) 1 (c) d a Let y = -283 - -2261/8. Which is the second biggest value? (a) -3 (b) -2/15 (c) y (d) -0.03 b Let m(l) = -l**2 - 6*l - 4. Let k be m(-4). Let f = 0.1 + 2.9. What is the second biggest value in k, 0.3, f? f Let r be 1*((-4)/(-3))/(9/(-27)). Let q = -36/5 - -7. Let n = -105/2 + 941/18. Which is the smallest value? (a) n (b) q (c) r c Let o = 0.42 + -0.12. What is the second smallest value in -0.1, o, -3, -0.09? -0.1 Let m = 0.02 - -0.03. Let g = 1.05 - m. Which is the third biggest value? (a) -3 (b) -0.4 (c) g a Let i = 127297/1540 + -2301/28. Let a = i + 1/55. What is the third smallest value in -1/2, a, 0? a Let j = -10 - -6. Let k = -5 - 0. Which is the third smallest value? (a) j (b) 0.5 (c) k b Let g = 111 + -116. Let l = -5 - -8. Let q = 0.3 + 0.2. Which is the smallest value? (a) q (b) l (c) g c Let d = 8.9 + 3.1. Let w = d + -8. Let i = 155/196 - 2/49. Which is the third smallest value? (a) -3/5 (b) i (c) w c Let s = 32 - 32.5. Let a = -2 + 2.1. Let u = a + s. What is the smallest value in -3, u, 5? -3 Let k be (4/(-10))/(16/30). Let s = -0.02 + -2.98. Which is the smallest value? (a) s (b) 4 (c) k a Let i be (-4 + (3 - 1))/(-1). Let f be 3/3 - (-10)/(-12). Let n = 1/4 - 17/20. What is the biggest value in i, n, f? i Let y(d) = -5*d**2 + 3*d + 2. Let z be y(-1). What is the biggest value in 0.1, z, -2/17? 0.1 Let n = 9.9 + -9.5. What is the third biggest value in -3, -6, 1/6, n? -3 Let s = 4.9 - 4.4. Which is the second smallest value? (a) -9 (b) -1/9 (c) s b Let x be (-3 + -1)*6/8. Let j = 17.3 + -18. Let w = 0.9 + j. What is the third smallest value in w, x, 2/19? w Suppose 4*y - 3*y = 13. Let g = -15 + y. What is the third smallest value in g, -1, -0.3? -0.3 Let w(h) = h**2 - 2*h - 17. Let g be w(-4). Which is the second biggest value? (a) g (b) 1/6 (c) -4 (d) -6/7 b Suppose -4*c = -2*c. Suppose -3*z = -c*z. What is the biggest value in 4, z, 0.3? 4 Let p = 0 - -5. Let g be (15*6/9)/2. Suppose 2*q - g*q = 6. Which is the second smallest value? (a) q (b) 0.5 (c) p b Let m = -2.15 - -0.15. Which is the smallest value? (a) -5 (b) 5 (c) m a Let z = -0.08 + -3.92. Let a = 4.2 + z. Let c = -0.4 - 0.1. What is the smallest value in a, c, -3? -3 Let i = 20 - 16. Which is the biggest value? (a) 0.4 (b) 2/13 (c) i c Suppose -4*x - 3*z = -1, 2*z + 8 = 4*x + 2. What is the third smallest value in x, 4/7, -5/4? x Let r be 14/49 + (-74)/63. Let u = -2/3 - r. What is the third biggest value in -2/17, u, -1? -1 Let p = -151 + 147. Which is the third biggest value? (a) -0.2 (b) 2.4 (c) p (d) 2 a Let c = -1/20 + 49/180. Let u be ((-20)/6)/(1/3). Let a be (-16)/u - 6/3. What is the biggest value in c, 0.4, a? 0.4 Let n = 131 - 132. Which is the third smallest value? (a) -5 (b) n (c) 2 c Let v = -80 + 722/9. Let d = -0.45 + 0.05. Let m = 0.2 + d. Which is the second smallest value? (a) 4/7 (b) m (c) v c Let j = -4.01 + 0.71. Let l = -3 - j. What is the smallest value in 2/3, -5, l? -5 Let m = 1.43 - 0.03. Let g = m + -1.4. Which is the third biggest value? (a) -4 (b) g (c) 5 a Let q = -6 + 8. Let n be ((-220)/(-16))/(-5) + 3. What is the third biggest value in n, 0.3, q? n Let o be ((-4)/5)/(2/10). Let d = -21 + 34. Let u = d + -9. What is the second biggest value in 2, o, u? 2 Let i(q) = -q**3 - 6*q**2 + 7*q + 4. Let y be i(-7). What is the biggest value in y, 1, 0.2, 2/15? y Let u = -27 + 27.05. What is the third biggest value in u, -1/9, 0.1? -1/9 Let n be (10/(-25))/(6/(-5)). What is the smallest value in -0.1, n, 2? -0.1 Let x = -106 - -107. Which is the fourth smallest value? (a) 3/5 (b) x (c) -2/7 (d) -0.01 b Let i = 220/321 - 2/107. Let s be -3 - (2 - (3 + 4)). Which is the biggest value? (a) s (b) -5 (c) i a Let x = 4/5 + -22/15. Which is the fourth biggest value? (a) x (b) -1/5 (c) -1 (d) 3 c Let r = -0.02 - -0.04. Let j = r + -2.02. Which is the third smallest value? (a) 0 (b) 1 (c) j b Let l = -0.1 + -0.9. Let h = 40 - 64. Let n be -3*1/h*1. What is the second biggest value in n, l, 0? 0 Let o = 12512/3 + -4136. Let x = -34 + o. Which is the third smallest value? (a) 0.5 (b) 2 (c) x b Let h = 0.2 - 0.36. Let l = -0.1 - h. What is the smallest value in 3, -3/2, l? -3/2 Let o = 4/9 + -17/18. What is the biggest value in 2/3, o, 2? 2 Let k be (6 + -8)*22/4. Let p = 6 + k. Which is the smallest value? (a) -1 (b) p (c) -0.04 b Let y = 8 + -15/2. Let l = -29 + 27. Which is the smallest value? (a) y (b) -1 (c) l c Let n = -6.4 + -16.2. Let z = n - -23. Which is the smallest value? (a) z (b) -0.3 (c) 0.5 b Suppose -7*y = -3*y + 32. Suppose -2*v = -0 + 4. Let u be (-1)/1*v/y. What is the second biggest value in 2/13, u, 4? 2/13 Let g = -4.1 - -0.1. Suppose 4*f + 6 = 3*d, 10 = -2*d - 0*f - 2*f. Which is the second smallest value? (a) g (b) -0.4 (c) d c Suppose -2*i - 3*t = 10, 2 = i - 4*t + 7. Let o = 0 + 4. Let s be 0 + 1 + 0 - 0. Which is the third smallest value? (a) o (b) i (c) s a Let j(h) = -h - 16. Let v be (-2 - -13)/(0 + -1). Let s be j(v). Which is the third smallest value? (a) -7 (b) 1/9 (c) s b Let i = -1/90 + -71/90. Which is the fourth smallest value? (a) -0.2 (b) i (c) -0.1 (d) -4 c Let r be (3/18)/((-2)/(-8)). Let p = -5 + 5. What is the smallest value in r, p, 1/3? p Let q = -14 - -14.5. What is the smallest value in q, -1, 5, -2? -2 Le
{ "pile_set_name": "DM Mathematics" }
+ 1, -2*x - 3*d - r = 0 for x. 0 Suppose -3*w + 4 = -14. Suppose 5*u - i + 4*i - 25 = 0, -1 = 2*u - i. Suppose 4*y + u = w. Solve 0 = -2*b - 5*h + 8, 3*b - y = 6*b + h for b. -1 Let g be 2*-1*(-5)/2. Suppose 0*p = g*p. Solve p*s = 2*s - 5*a + 5, 4 = 4*s + 4*a for s. 0 Suppose 0*m + 8 = -4*m. Let u be (-8)/(m - (-3)/3). Solve 3*g + 5*h + u = 0, -5*g + 6*h - 2*h + 36 = 0 for g. 4 Let b = 15 - 0. Let v = b + -11. Solve -12 = -4*q - v*p, -4*q - 1 = -p - 13 for q. 3 Let x = 10 - 4. Solve z + 3*w = -11, -13 = -z - w + x*w for z. -2 Suppose 38 - 178 = 4*g. Let v = -15 - g. Solve 5*p = 2*r - v, -r - r = 5*p + 20 for r. 0 Let c be 6/(-9) + (-376)/(-6). Let d be c/10 + 2/(-10). Suppose 4*n + 3*i - d = 2*n, 5*n + i - 15 = 0. Solve -n*z = -3*y + 18, 6*y + 3*z = y + 14 for y. 4 Suppose -5*b + 15 = 0, 4*c - 5 - 2 = -5*b. Let o = c + 1. Let m be (0/o)/(5/(-5)). Solve 3 = -s + 2*l, m = -5*s - 4*l + 2*l + 33 for s. 5 Suppose 13 + 7 = 5*l. Solve -d - d - l = 5*q, -3*d = q + 6 for q. 0 Suppose -42 = -2*g - 4*c, 3 = -2*g - 0*g + 5*c. Suppose 0 = 3*y - 4*n - 31, 38 = y + 3*n + 6. Solve -5*b = -4*i - g, 0*i + 3*i + 5*b = -y for i. -4 Let d be (3/(-1) + 2)*-3. Solve -3*f = -d, 7*f + 6 = 5*j + 3*f for j. 2 Suppose 7*z + 25 = 12*z. Suppose 3*h + 4*v - 19 = 0, -3*v - 10 = -h - 8*v. Solve -2*i - 2*x - 7 = -i, h*i + 5 = z*x for i. -3 Suppose -3*k - i = -0*i - 26, -4*i - 16 = -3*k. Solve 2*o - 5*g + 12 = 0, 0*g + k = -2*o + 3*g for o. -1 Suppose -2*k + 22 = b, 3*k = -0*k - 3*b + 36. Solve 4*v = w - k, -w + 0*v = v for w. 2 Suppose -5*b - 5 = -0*b, 5*q - 26 = b. Solve -4*m + q = -3*k, 3*m = -m + 20 for k. 5 Suppose -40 = 3*h - 7*h. Let l = 21 + -15. Suppose l*b = b. Solve 4*i = -b*i + 3*s + 15, 2*i = 2*s + h for i. 0 Let a = 11 - 6. Suppose -a*f + 14 = 5*l - 26, 10 = f + 2*l. Let z = f + -4. Solve 5*u + 17 = -0*k - z*k, 4*k + 7 = -u for u. -3 Suppose -5*c - 3*b = -b - 10, 3*c = b + 6. Suppose -18 - 2 = -5*t. Let f = 3 + t. Solve -3*h - 1 = -f, 0 = n - c*h for n. 4 Let c be -4 + 0 + 7 - 0. Suppose 3*v - 5 = -2*a, -c*a - 2*v - 2 + 12 = 0. Solve -y + 0*y - 8 = a*d, -21 = 5*y + d for y. -4 Suppose 5*f - 2*f - 9 = 0. Suppose -4*h - 6*o = -2*o - 24, -3*h + 12 = o. Let x = 5 - h. Solve -f*m - 40 = -8*m + 4*u, 3*m + x*u - 2 = 0 for m. 4 Suppose -6*t = -2*t. Let z be 4*1/((-12)/(-15)). Solve t = -y + 4*b + 7, y + y = -z*b - 25 for y. -5 Suppose 2*x + 270 = 12*x. Solve -5*a = 4*j + x, -5*j + 2*a - 3*a - 18 = 0 for j. -3 Suppose -22 = -2*u + 10. Solve -4*t - u = -2*h, 11 = 4*h - 0*t - t for h. 2 Suppose -6 = 5*z - 31. Let g = 139 + -94. Suppose -5 = 4*i - g. Solve -3*c - r - 12 = 0, z*c = -r - i - 10 for c. -4 Let j(z) be the second derivative of z**4/12 - z**3/6 - 2*z**2 - 2*z. Let t be j(3). Solve d + 2 = -2*a, 2*d - 4*a + 5*a = t for d. 2 Let y be -2 - 1*(-14)/2. Suppose -4*x = 4*q, -3*x - 5*q - 1 - 3 = 0. Suppose -x*r - k = -3*r + 1, -4*r = -3*k - y. Solve -h + 9 = -4*v - r, 8 = h - 3*v for h. -1 Suppose -2*w = 2*w, -w = c - 9. Let b = -5 + c. Solve 0 = -2*y + 2*x + 4, 0 = -y + 4*x - b for y. 4 Let w(f) = -f**2 - 3*f + 5. Let t be w(-3). Solve 0 = -4*g - t*j + 40, j - 24 = -4*g - 0*j for g. 5 Let k(u) = -u**3 - 9*u**2 - 4*u - 3. Let z be k(-9). Let s = z - 15. Let l be (-4)/(-14) - 33/(-7). Solve r = -0*p - 5*p - s, 4*r + l*p + 12 = 0 for r. 2 Let p(w) be the second derivative of 2*w**3/3 + 2*w. Let c be p(-1). Let k = 10 + c. Solve -5*d - 3*n + 22 = -5*n, 2*n = -2*d + k for d. 4 Let l be 4/((-2)/16*1). Let s = l + 62. Solve 5*p - 2*w = s, 0 = -3*p + 6*w - 3*w + 27 for p. 4 Let c be (-5 - -2 - -3) + 2. Suppose 6*f - f = 25. Suppose 3*i + a = 16, -5*i = -0*i + f*a - 40. Solve i*s = 4*q + 4, -5*s - 1 + 9 = -c*q for q. 1 Let y = -17 + 20. Solve -4*v + 3*u - 2 + 22 = 0, 15 = y*v + 3*u for v. 5 Suppose 0 = i - 2 - 1. Suppose -5 = g, -5*x + 10*x - 4*g - 25 = 0. Solve p + x = -i*d + 10, p = 2*d - 1 for d. 2 Let j = -8 + 4. Let z = -2 - j. Suppose -1 = -2*b + 3*h - 4, 15 = z*b + 3*h. Solve -5*p - 12 = -2*p - 3*o, b*p + 4*o - 23 = 0 for p. 1 Suppose -3*z + 1 = 2*s, -4*s + z + z + 26 = 0. Solve 3*k - w + 8 = -3, -k + s*w - 13 = 0 for k. -3 Let s(i) = i**2 - 11*i + 14. Let b be s(10). Let u = b - 8. Let r = 7 + u. Solve 0 = -3*m + r*a - 30, -5*m - 10 = -0*m + 3*a for m. -5 Suppose 5*f = -4 - 31. Let k(b) = -b**3 + 6*b**2 + 3*b + 5. Let l be k(6). Let p = f + l. Solve -4*x + 6*t = 2*t + p, 5*t = 25 for x. 1 Let h be (-3)/(3/4*-2). Suppose h*t + 5 = 3*t. Suppose -2*w - 6*v + v + 20 = 0, 0 = -w + 5*v - t. Solve -5*i = 2*u + 11, -u - w*i + 4 = 17 for u. 2 Suppose 5*l - 50 = -2*j, -2*j + 38 = -j - 4*l. Let m be (0/7)/(-1 + -1). Solve -u + s + 0*s = 10, u - 5*s + j = m for u. -5 Suppose -8*i + 2 = -14. Solve -3*t + 1 = -y, y + i = -5*t - 7 for t. -1 Let x be (-36)/(-2)*88/(-12). Let c be (-2)/8 - x/16. Solve c = -2*a, -3*t - 5*a = -5*t + 24 for t. 2 Suppose 4 = -q + 6. Solve 19 = -o + 4*f, -3*o - q*f = -3*f + 13 for o. -3 Let m = -29 + 32. Suppose -z + 8 = x + x, m*z + 16 = 2*x. Solve -o + 6 = 2*o + x*b, b - 6 = -3*o for o. 2 Suppose 0 = 2*b - b - 2. Solve 2*u + b = 2*f - 2, 5*u + 4*f + 19 = 0 for u. -3 Let k = -19 + 29. Suppose -3*c - 5*d = -0*d + 10, -4*c - 2*d = -k. Solve 0 = -4*p - c*f + 2*f - 11, 0 = -4*p - 4*f - 12 for p. -2 Let k(g) = g**2 - 7*g + 9. Let b be k(6). Let v = b - 1. Solve 4*a = v*w - 12, -3*a + 3*w + 0*w = 3 for a. -5 Suppose 15*j - 9*j = 150. Solve 4*v + 47 - 11 = -4*b, -5*b - j = 0 for v. -4 Let y(s) = -s + 19. Let m be y(14). Solve 2*h + m*k + 1 = 11, 5*h - 25 = -2*k for h. 5 Let f = 19 + -14. Solve -3*b + 34 = f*j, -j + b - 4 = -2*b for j. 5 Let q = 1 + -1. Suppose -3*z - 1 + 13 = 0. Suppose -16 = -z*x + 4. Solve 0 = -q*s - 3*s - 3*u - 12, x*s + 14 = -2*u for s. -2 Suppose 4*k = 3*t + 100, -18 = -k + 5*t + 7. Let l be (-3)/1*k/(-15). Let j be 2 + (-1)/(2/(-56)). Solve 21 = l*y - g, -y - 5*g + j = y for y. 5 Let s be 632/88 - 2/11. Solve -4*a + 13 = -t - 5, -3*a + 4*t = -s for a. 5 Suppose 7*n = 8 + 41. Solve -3*x = 3*h - 17 - n, 5*h = 4*x + 13 for h. 5 Let c(i) be the second derivative of -i**3/6 - i**2 - 4*i. Let a be c(-6). Solve -h + 15 = -5*r + a*h, h = 0 for r. -3 Suppose -2*a - 10 = c - 5*c, 0 = -5*a - 2*c + 35. Suppose 2*l + q - 2*q = 3, 9 = 2*l + a*q. Solve -3*f + 5 = 4*m, -f + m - 8 = l for f. -5 Suppose 76 = w + 3*w. Let p = 51 - w. Solve -4*l = 5*j - p, -j - 2 - 3 = -3*l for j. 4 Let n = -18 + 37. Suppose 5*c - 30 = 5*y, -4*c - 3*y = -6*y - n. Solve 5*i = p - c, 3*p - 3 = i + 2*i for i. 0 Let g = 1 - -3. Solve -g*c + q - 21 = -3, 0 = -q - 2 for c. -5 Let t(b) = b + 2. Let f be t(1). Let j be 1/(-1)*(-24 - 1). Solve -f*d + 2*v + 20 = v, -5*v - j = 0 for d. 5 Suppose 3*s + 0*s + 3 = 0. Let p = s - -4. Solve 2*w + p*o = 2*o + 15, 5*o = w + 20 for w. 5 Suppose -2*i + 19 = 11. Solve -3*c + i*o - 35 = -0*o, 30 = -4*c + 2*o for c. -5 Suppose 3*m - 7*m = 0. Let k(b) = b**2 - b + 2. Let n be k(2). Suppose 0 = -f - 2*f + 15. Solve m = -f*c + 5*x - 40, -4*c - 4*x + n = x for c. -4 Suppose -20*f = -16*f - 16. Solve -3*j = -5*q - 34, 46 = f*j - 5*q + 9 for j. 3 Let i = 13 - 7. Suppose 2*r = -2*w - 3*r - 9, -3*r = 5*w - i. Solve 3*g = -3*l + 2*g + 10, w*g - 16 = -2*l for l. 2 Let p be (-1)/5 + 60/50. Solve -z = 2*a + 6 + p, -3*z = 4*a + 17 for a. -2 Let r = 4 - 4. Let k be (-4)/10 + (-85)/(-25). Suppose k*q = q. Solve q = 5*o + 4*n - 16, 0*n - n - 1 = r for o. 4 Let g be 3 + 88/56 + 6/14. Solve -2*i + 23 = 3*h, 4*h - 28 - 12 = -g*i for h. 5 Suppose 3 = 3*p, -2*w - 5*p + 10 = -w. Suppose 7 = -4*d - 1. Let k be (-46)/(-10) - d/w. Solve -x + 3 = k*j - 5*x, 5*x = 4*j - 6 for j. -1 Suppose 5*d = 3*d + 4. Let w be (d + (-4)/2)/(-2). Let p = w + 2. Solve -3*b = -3*s - 18, p*b - 20 = -3*b for s. -2 Suppose 0 = -4*s - b + 1, b + 3*b - 20 = 0. Let k be s/2*12/(-6). Solve 2*t + 3*v = -5 + k, -2*t - v = 8 for t. -5 Suppose 3*c - 121 = -4*v, 0*c + 131 = 5*v - 3*c. Suppose -6*s + 2*s - 12 = 0. Let i be s/(-2)*v/3. Solve d - i = -2*h, h + 5*d = 35 - 10 for h. 5 Suppose 5*z = -3*w + 46, w + z + 3 = 3*z. Suppose -w*d = -6*d - 3. Solve 4*t = d*p - 5, 0*t - 2*t = 2*p + 20 for p. -5 Let d(n) = n + 9. Let w be -10 - (-2)/(-2)*-3. Let s be d(w). Solve -3*v = -s*u - 10, 5*v + 2 = -4*u + 4 for v. 2 Let x(s) = 2*s**2 - 7*s. Let u be x(4). Solve 6*k + 4 = 3*g + u*k, -3*g = 3*k + 6 for g. 0 Let
{ "pile_set_name": "DM Mathematics" }
Simplify (sqrt(1584)*-2*-6 + 4 + (sqrt(121) - (sqrt(121)*1*6 - sqrt(121)))/sqrt(11)*-3)**2. 1248*sqrt(11) + 267712 Simplify ((-4*(sqrt(108) - ((-1 + sqrt(108) + 3 - sqrt(108)) + sqrt(108) - sqrt(108))))**2 + (2*(sqrt(108) + 0) - sqrt(108))**2*1)*-2. -3800 + 768*sqrt(3) Simplify (sqrt(1029) + (sqrt(1029)*2 - sqrt(1029)))/(sqrt(175)*2) + (sqrt(432) + 1 + sqrt(432) + -4)**2 + 1. -713*sqrt(3)/5 + 1738 Simplify ((((sqrt(110)*4 - sqrt(110)) + sqrt(110) - sqrt(110)) + sqrt(110))*6 - sqrt(110))/(sqrt(250)*-6 + sqrt(10)). -23*sqrt(11)/29 Simplify -2*(3*sqrt(2205) + -6*-3*sqrt(5)*4). -270*sqrt(5) Simplify (-4*(2 + 2 + sqrt(19)) - (3 + 0 + sqrt(475) + sqrt(19)))**2. 380*sqrt(19) + 2261 Simplify (1*sqrt(187)/(sqrt(77)/sqrt(112)) - -5*(0 + sqrt(2448) + 5))**2. 3200*sqrt(17) + 70257 Simplify (-6*(sqrt(104) + sqrt(104) + sqrt(104)*-1)*-1)/(sqrt(288) - (sqrt(288) + 5*sqrt(288)*1)). -sqrt(13)/5 Simplify (sqrt(432)*1*4*-3)**2 - ((6*1*sqrt(432) - sqrt(432)) + 1). -60*sqrt(3) + 62207 Simplify (-2*(-6*-1*sqrt(11) - sqrt(11)) + -3 - ((0 + sqrt(11))*-4*4 + -4))**2. 12*sqrt(11) + 397 Simplify (((sqrt(684) - (sqrt(684) - (sqrt(684) + 2))) + sqrt(684) + sqrt(684) + sqrt(684))*-6 + sqrt(684)*-1 + 5)*-6 + -2. 40 + 900*sqrt(19) Simplify -3*(sqrt(104)/((sqrt(2) + (sqrt(6)/sqrt(3) - sqrt(2)))*-1))/(-2*sqrt(16) - (-1*sqrt(64) + sqrt(64))). -3*sqrt(13)/4 Simplify ((sqrt(84)*-1 + sqrt(84))*6)/(sqrt(1452) + sqrt(1452)*1) + 3. 3 Simplify (-1*sqrt(2)*-2*3 - (sqrt(8) + 5 + -5))**2. 32 Simplify 3*(sqrt(300)/sqrt(90))/(sqrt(216)*-2). -sqrt(5)/12 Simplify 2*3*((sqrt(320)*3)**2 + 0 - sqrt(320)). -48*sqrt(5) + 17280 Simplify (4 + (sqrt(468) + sqrt(468)*2*-3)/sqrt(9))*1. -10*sqrt(13) + 4 Simplify (-2*(2 + -2*sqrt(245)*-3 + -2))**2. 35280 Simplify ((-1*sqrt(1584))/(6*sqrt(40)/sqrt(10) + sqrt(4)))**2. 396/49 Simplify -6*(-1 + -1*((-3 + sqrt(1539))**2 + (sqrt(19) - (3 + sqrt(114)/sqrt(6)))**2)). -324*sqrt(19) + 9348 Simplify 5*((4*sqrt(40)*4)/sqrt(8))**2*3. 19200 Simplify (-1 + ((sqrt(7) + -1)*3 - sqrt(112)*-1) + -5)**2. -126*sqrt(7) + 424 Simplify ((sqrt(52) - sqrt(52)*3*-3)/(sqrt(4) + sqrt(900)/sqrt(9)) + -3)**2. -10*sqrt(13) + 406/9 Simplify -3 + ((sqrt(63) + 3)*1 + (sqrt(7) + -1)*-1 + -5)**2. -4*sqrt(7) + 26 Simplify (-2 + 6*((sqrt(2448) - (sqrt(2448) + -1))*1 - sqrt(2448) - -1*(1*sqrt(2448) + sqrt(2448))))**2. 576*sqrt(17) + 88144 Simplify (-5 + sqrt(475)*-1 + sqrt(475) + -1 - -5*(-5 + sqrt(475)*-1))**2. 1550*sqrt(19) + 12836 Simplify 1*(-1 + sqrt(612))**2 + -5 + -1*sqrt(612) + -1. -18*sqrt(17) + 607 Simplify (-4 + 2 + 0 + sqrt(891) + (sqrt(891) - (sqrt(891) + 3))*-2)**2. 72*sqrt(11) + 907 Simplify (((sqrt(168)*-2 - sqrt(168) - sqrt(168))/sqrt(7))/(sqrt(96)/(sqrt(16)/sqrt(2))))**2. 32 Simplify (((sqrt(150) + 1*sqrt(150)*-5 - sqrt(150)) + sqrt(150))/sqrt(5))/(sqrt(486) + 4*-2*sqrt(486)). 4*sqrt(5)/63 Simplify (-4 + (-6*(sqrt(350) + (sqrt(350)*-4 - sqrt(350))) + sqrt(350))/sqrt(7))*-1. -125*sqrt(2) + 4 Simplify sqrt(20)/(5*sqrt(16)/sqrt(4)) + sqrt(320)*1 + -3. -3 + 41*sqrt(5)/5 Simplify (2*sqrt(170)*-2 + sqrt(170) + (sqrt(170) - (sqrt(170) - (sqrt(170) + (sqrt(170)*-2 - sqrt(170))))*-5))/((1*sqrt(110)*-3)/sqrt(11)). -13*sqrt(17)/3 Simplify -4 + 5 + sqrt(17) + sqrt(17) + sqrt(1700)*-1 + 2. -8*sqrt(17) + 3 Simplify 2*sqrt(275)*-5 + ((sqrt(275) + (sqrt(275) - 2*sqrt(275)))*-2)**2 - (4 + 3*sqrt(275) + sqrt(275))**2*-2. 270*sqrt(11) + 8832 Simplify 5 + sqrt(42)/sqrt(6) + -1*sqrt(252) + -1. -5*sqrt(7) + 4 Simplify (2*sqrt(108)*-1)/(sqrt(90)/(sqrt(30)/sqrt(3))*6). -2*sqrt(3)/3 Simplify ((sqrt(539) + (-1*sqrt(539) + 1 - sqrt(539)) + 0)*5 + 2)**2. -490*sqrt(11) + 13524 Simplify -6*(0 + sqrt(475) + sqrt(475)) + sqrt(475) + sqrt(475) + ((sqrt(171) + -3)**2 + sqrt(171))*-4 + 1. -719 + 10*sqrt(19) Simplify (5 + 6*sqrt(1584)*-2 + ((0 + sqrt(1584))*3 - (-1 + sqrt(1584) + sqrt(1584))*3))**2*-6. -2138784 + 17280*sqrt(11) Simplify ((sqrt(95) + (sqrt(95) - ((sqrt(95) + -2*sqrt(95) + sqrt(95) + sqrt(95))*-4 + sqrt(95) - sqrt(95)) - sqrt(95)) + sqrt(95))*3)/(-1*sqrt(1620)). -sqrt(19) Simplify (sqrt(275) + 1 + -1 - ((sqrt(11) - (sqrt(99) + -1))**2 + 0))*-6. -54*sqrt(11) + 270 Simplify (-4*((2*sqrt(272) + sqrt(272) - sqrt(272) - sqrt(272))*5 + sqrt(272) + 1 + -5))**2. -3072*sqrt(17) + 156928 Simplify 3*(sqrt(20)/sqrt(2)*-2)/(sqrt(5) - sqrt(80)*4). 2*sqrt(2)/5 Simplify ((sqrt(76) - (1*sqrt(76) - sqrt(76)))*-3*-2)/((sqrt(80)*1)/sqrt(5)). 3*sqrt(19) Simplify ((sqrt(99) + (-1*4*sqrt(99) - sqrt(99)))/((sqrt(900)*3 - sqrt(900) - sqrt(900) - sqrt(900)) + sqrt(900) - sqrt(9)))**2. 176/81 Simplify 4*2*sqrt(162) + (sqrt(162) + 3 + 0 + sqrt(162) + sqrt(162))**2 + 3 + 4. 234*sqrt(2) + 1474 Simplify (2*2*sqrt(2592))/(-2*1*sqrt(144)). -6*sqrt(2) Simplify -2*(-3 + sqrt(720)*-2) - (sqrt(30)/(sqrt(6) + sqrt(6)*1) - sqrt(55)/(3*sqrt(11))). 6 + 287*sqrt(5)/6 Simplify (sqrt(72)/sqrt(256) + sqrt(18))/((sqrt(81)*3)/sqrt(9)). 3*sqrt(2)/8 Simplify sqrt(6)/(sqrt(2)*1) + 3 + sqrt(12) + 0 + 0. 3 + 3*sqrt(3) Simplify (4*((sqrt(325) - 1*sqrt(325)) + 2 - sqrt(325) - (-3*-1*sqrt(325) - sqrt(325))))**2*-5. -234320 + 4800*sqrt(13) Simplify (-3*(-1*sqrt(70)*-5 + sqrt(70)))/(1*(sqrt(50)/sqrt(5)*4 + sqrt(10))). -18*sqrt(7)/5 Simplify -3*(((sqrt(48)/sqrt(2))/sqrt(12) + sqrt(2))**2 + (sqrt(162) - (-2 + sqrt(162))) + sqrt(22)/(sqrt(33)/(sqrt(9)/sqrt(3)))). -30 - 3*sqrt(2) Simplify -2 + sqrt(275) + 1 + -1 + -3 + 0. -5 + 5*sqrt(11) Simplify -5 + 4*(sqrt(343) + -1 + sqrt(343) + 2)*3. 7 + 168*sqrt(7) Simplify ((5 + 2*sqrt(300) - (4 + 1*sqrt(300))) + 0 + -3)**2. -40*sqrt(3) + 304 Simplify 0 + sqrt(76)/(-1*sqrt(4)) - (5 + sqrt(475) + 4)**2. -556 - 91*sqrt(19) Simplify -2 + (sqrt(540)*2)/(1*sqrt(12)*-2)*6. -18*sqrt(5) - 2 Simplify -4*2*(sqrt(2268) + 2)*-4. 64 + 576*sqrt(7) Simplify (-6*3*-3*sqrt(2057)*3*-4)**2. 863742528 Simplify sqrt(847) + (sqrt(847) - (3 + sqrt(847)*2)) - (sqrt(63)/sqrt(3)*-5)/sqrt(3). -3 + 5*sqrt(7) Simplify (3*(sqrt(15)/(sqrt(1440)/sqrt(8)) - (-2 + sqrt(147) + 5)))**2. 369*sqrt(3) + 5367/4 Simplify (sqrt(15) - 6*1*sqrt(15))/sqrt(5) + 1*(sqrt(18) + sqrt(162))/sqrt(6). -sqrt(3) Simplify (sqrt(2299)*-3 + 4 - (2*(1 + sqrt(19)) + sqrt(19) + sqrt(57)/(sqrt(6)/sqrt(2))))**2. -148*sqrt(19) + 26015 Simplify (sqrt(240)/((sqrt(12) + ((sqrt(48) - sqrt(12)) + sqrt(12) - sqrt(12)))*4 - sqrt(12)))/(-4*(sqrt(640) + 2*sqrt(640) + sqrt(640))). -sqrt(2)/896 Simplify 5 + -5 + (sqrt(405) + -1 + sqrt(405) - sqrt(405))*6*2. -12 + 108*sqrt(5) Simplify (-5 + (-6*sqrt(608))/((sqrt(12)/sqrt(6) + sqrt(2))*5))**2. 24*sqrt(19) + 3361/25 Simplify ((6*-2*sqrt(484))/sqrt(11))/((-2*sqrt(12)*-4)/sqrt(3)). -3*sqrt(11)/2 Simplify -6*(((2 + sqrt(539))*1)**2 + sqrt(539)) + 4. -3254 - 210*sqrt(11) Simplify ((3*sqrt(5000) - sqrt(5000)) + sqrt(50))/((sqrt(180)/sqrt(9) + sqrt(20) + sqrt(20) + sqrt(20))/sqrt(2) + sqrt(10) + sqrt(10)). 7*sqrt(5)/2 Simplify (sqrt(13) - (-1 + (sqrt(13) + 0)**2)) + -4 + (sqrt(13)*2 + -5 - (1 + sqrt(325))**2). -347 - 7*sqrt(13) Simplify (sqrt(57)/sqrt(75) - sqrt(133)/sqrt(175)) + 0 + 5 + 1. 6 Simplify 3*sqrt(80)*-6*3*-2. 432*sqrt(5) Simplify -5*6*((-1 + sqrt(468) - sqrt(468))**2*1 - (-5 + sqrt(468)*1))*-3. -540*sqrt(13) + 540 Simplify (2*((5*sqrt(4)*-2 + sqrt(4))*5)/((sqrt(176)/sqrt(2))/sqrt(11)))**2. 4050 Simplify (2 + ((-2*sqrt(110))/sqrt(11)*4)/(-1*5*sqrt(2)*-2))**2. -16*sqrt(5)/5 + 36/5 Simplify (5*(sqrt(80) + sqrt(80)*1 + 3) - ((0 + sqrt(80) + 1 - sqrt(80)) + sqrt(80) + 3))**2 + 5. 792*sqrt(5) + 6606 Simplify (-4*(sqrt(132) - -2*sqrt(132)) - sqrt(132) - (sqrt(132) + -3*-1*sqrt(132)))/(sqrt(972) + (sqrt(972)*2 - sqrt(972))*-1 - sqrt(972)). 17*sqrt(11)/9 Simplify (-5*(sqrt(19) - (0 + sqrt(19) + -3)) - (-4 + (sqrt(475) - -1*sqrt(475)))**2) + 2. -1929 + 80*sqrt(19) Simplify (((sqrt(6) + sqrt(6)*4)*-2 + sqrt(6) + sqrt(6))/((sqrt(6) + 4*sqrt(6))/sqrt(2)))**2. 128/25 Simplify (1 + 4 + 3*(sqrt(171) + -1) + -1)**2*-6. -9240 - 108*sqrt(19) Simplify 0 + (sqrt(126)/(sqrt(9) + sqrt(9)*3))/(sqrt(32)*6). sqrt(7)/96 Simplify (sqrt(120)/(sqrt(288)/sqrt(9)))/(sqrt(768)*2 - 2*sqrt(12)*-2). sqrt(5)/80 Simplify (sqrt(6) + sqrt(324)/sqrt(6))/(sqrt(24)/sqrt(108) - sqrt(2))*-4*-1. -24*sqrt(3) Simplify (sqrt(80)/(-3*sqrt(1210)))/(-5*3*sqrt(64)). sqrt(2)/1980 Simplify -1 + 4*sqrt(84)/(sqrt(12) + sqrt(12)*1)*4. -1 + 8*sqrt(7) Simplify (2*(-3 + sqrt(304)) - ((3*sqr
{ "pile_set_name": "DM Mathematics" }
) 0.08 (c) -0.4 c What is the biggest value in -5, 33057, 5? 33057 What is the fourth biggest value in 3.99, 1, 11, -0.1? -0.1 What is the fourth biggest value in 1/10, -6, -2/3, 29, -2, -5? -2 What is the third biggest value in -24/17, -2, -0.1, -16, 2, -1/2? -1/2 Which is the second smallest value? (a) 0.066 (b) 0.2 (c) 18 b Which is the fourth smallest value? (a) -0.2 (b) -1/6 (c) 0 (d) 2 (e) -1/9 c Which is the smallest value? (a) -2/5 (b) -2/7 (c) 0.1 (d) 26810 (e) 2/15 a Which is the smallest value? (a) 2/1141 (b) -3/194 (c) 1/2 b What is the third smallest value in 3/2, 0.2, -289/3, -0.11? 0.2 What is the third biggest value in 0.4, 2/3, 0.9, -1/1717? 0.4 Which is the smallest value? (a) 1/26 (b) -2 (c) 84780 b What is the third biggest value in -1, 17, -5, 11/2? -1 Which is the third smallest value? (a) 4/3 (b) 4 (c) -12/29 (d) -4 (e) 0 e What is the third smallest value in -155.8, 2/13, -65? 2/13 What is the third biggest value in -0.587, 0, -0.5, 8? -0.5 What is the smallest value in 1, -29, 0.4, 0.14, -5? -29 Which is the fourth biggest value? (a) 2/13 (b) 1/6 (c) 95/32 (d) -1/3 (e) -3/2 (f) -0.4 d Which is the smallest value? (a) -0.1 (b) 0.4 (c) -2/29951 (d) 9 a Which is the biggest value? (a) 0 (b) 5 (c) -0.4 (d) 2700 (e) 2/9 d Which is the smallest value? (a) -0.5 (b) -5 (c) 2 (d) 1.1 (e) 4/7 b Which is the fourth smallest value? (a) 0 (b) -31 (c) -1/5 (d) 8 d Which is the fifth smallest value? (a) -0.2 (b) -183 (c) -5 (d) -2/3 (e) -7 a What is the fourth smallest value in -1/5, -0.4, 2/17, -16668? 2/17 Which is the third smallest value? (a) 3 (b) -3/5 (c) 55 (d) -2028/11 a Which is the second biggest value? (a) 0.4 (b) -36 (c) -1/4 (d) -5 (e) -26 c What is the second biggest value in -459, 2, -3, -2/9, -1/2, -68/3? -2/9 Which is the sixth biggest value? (a) -1 (b) 103 (c) 1/4 (d) -2/5 (e) -1.5 (f) -4 f Which is the second smallest value? (a) -4 (b) -1080 (c) 2 a What is the third biggest value in 1/4, 0.409, 14.7? 1/4 What is the biggest value in -0.01, -1, 1, -3722, -2/7? 1 Which is the second smallest value? (a) -2 (b) 0.3 (c) 5 (d) 0.2 (e) 62 (f) 0.08 f Which is the second biggest value? (a) 5 (b) 71 (c) -8 a Which is the fifth biggest value? (a) -1 (b) 0.1 (c) -168 (d) -4/3 (e) -7 c Which is the second biggest value? (a) 1/2 (b) -2/13 (c) -0.039 c Which is the third biggest value? (a) 66 (b) 36 (c) -13 (d) -1 (e) 5 (f) 2 e What is the smallest value in 2/3, -2/2185, -1/9, -2/7? -2/7 Which is the fourth smallest value? (a) 2 (b) 4 (c) -2 (d) 0.07 (e) 722 b Which is the third smallest value? (a) 4 (b) -161 (c) -4/35 a What is the third biggest value in 0.2, 0.055, -8, -4, -3, -2/15? -2/15 Which is the smallest value? (a) 0 (b) 1/5 (c) 1 (d) 2/15 (e) 1499 a Which is the third biggest value? (a) -5 (b) 0.2 (c) -0.1 (d) 4 (e) 0 (f) 1/4 b What is the third smallest value in -1/21, 40, 1, 5, -0.5, -44? -1/21 Which is the second biggest value? (a) -3612 (b) 0.43 (c) -2/3 c What is the biggest value in 2, -6, -16, -0.1, 4? 4 What is the smallest value in -76, -1/11, 30/359? -76 Which is the fifth smallest value? (a) 1 (b) 0.03 (c) 0.4 (d) 1/2 (e) 0.06027 (f) -1/8 d What is the smallest value in -1276, 1/6, -2/9, -1? -1276 What is the sixth smallest value in 0.5, -514, 5, -0.4, 0.4, -0.017? 5 What is the second biggest value in 4, -2/11, 1183/38? 4 Which is the second biggest value? (a) -2/9 (b) -2 (c) 133 (d) -0.226 (e) 0 e Which is the smallest value? (a) 4 (b) 316 (c) -4.9 c Which is the smallest value? (a) 4 (b) -1 (c) 0.5 (d) 0.3 b Which is the biggest value? (a) -35/4 (b) -3 (c) -47 (d) 2 (e) 0.2 d What is the smallest value in 1/6, -3/4, 0.3, 0.51, -2/49, -4? -4 What is the third biggest value in 2/5, -207716, 2, 6? 2/5 What is the second smallest value in -57, 0.4, -8, 0, -0.2? -8 Which is the biggest value? (a) -5/4 (b) -2 (c) -4 (d) 1 (e) -7 (f) 49 f What is the third biggest value in -746, -4, 0.5? -746 Which is the biggest value? (a) 2/9 (b) 2.59 (c) -3 (d) -13/6 (e) -0.5 b What is the second smallest value in -0.02, -2/9, -4/9, 0.965, 0.4, -2/19? -2/9 Which is the fourth biggest value? (a) -15 (b) -6 (c) -3/7 (d) 3/64 a What is the sixth biggest value in 0.2, 218/11, 0.1, -0.5, 1/3, 24/5? -0.5 Which is the smallest value? (a) 0.82 (b) 1/23 (c) -3/2 c Which is the third biggest value? (a) -125 (b) -4 (c) -0.3294 a What is the smallest value in 0.3, -32, 0.7211, 1/4? -32 Which is the biggest value? (a) 6/5 (b) 2/5 (c) -2/12023 a Which is the biggest value? (a) 1 (b) 1.1 (c) -870 b Which is the biggest value? (a) 1/6 (b) -0.017 (c) -1/20 a Which is the second biggest value? (a) -1.2 (b) 5 (c) 229 (d) 0.4 (e) -0.3 b What is the second smallest value in -8, 2, -189, -4/11? -8 Which is the fourth biggest value? (a) -6/7 (b) -5 (c) 1.6 (d) 0.09295 b Which is the second biggest value? (a) 0.04 (b) 9 (c) -21.4 a What is the second biggest value in 40246, 3, 2/5? 3 What is the smallest value in -218, -6, 4, 45/2? -218 Which is the second smallest value? (a) -2 (b) 4/67 (c) 1/3 b Which is the fourth biggest value? (a) -4 (b) -0.2 (c) -2/83 (d) -6 (e) -0.01 a Which is the biggest value? (a) 0.5 (b) 2 (c) -0.1 (d) 0.75 (e) 0.17 b What is the fourth smallest value in -0.2, -8, -11/8, -2.9, -2/13, 1.3? -0.2 What is the biggest value in 0.0783, 2, -4/9, -1/5? 2 What is the third smallest value in -1, 4/9, -2/7, -1/2, -2/53? -2/7 What is the fourth smallest value in -6, -34, -16, -4? -4 Which is the second smallest value? (a) -21 (b) -962.9 (c) 1/6 a Which is the third biggest value? (a) -15 (b) 29216 (c) -2/11 (d) 5 c What is the biggest value in -1, 0.08, 298, 4? 298 Which is the biggest value? (a) 3 (b) 6 (c) -0.39 (d) 21 d Which is the fourth smallest value? (a) -3/2 (b) 1 (c) -0.8 (d) 0.292 (e) -0.2 d Which is the fifth biggest value? (a) 2 (b) 9/22 (c) -0.11 (d) -5 (e) 0.09 d What is the biggest value in 4, 454, -2, -3/8, -37? 454 Which is the fourth smallest value? (a) 1/4 (b) 0.1 (c) -2/9 (d) -23095 (e) 1/7 e Which is the third smallest value? (a) 1 (b) 34 (c) 3.6 b What is the third smallest value in 0.4, -3308, 14? 14 What is the biggest value in -2, -1, -11, -125, 4? 4 Which is the fifth smallest value? (a) -2 (b) -0.2 (c) 3 (d) 2/11 (e) -0.05 (f) -1/9 d Which is the second biggest value? (a) -1 (b) 3/7 (c) -0.306 c What is the smallest value in 0.5, -0.832, 0.4, -3/4, -1, -4? -4 What is the second smallest value in -1/23, 1/6, -0.04, -0.06, -0.1? -0.06 Which is the second smallest value? (a) 3 (b) 6/25 (c) 96 a What is the fourth smallest value in 473, -0.4, -4.2, -0.5, -2/21? -2/21 Which is the fourth smallest value? (a) 28 (b) 150 (c) -0.04 (d) 0 b What is the second biggest value in 0.4, -11/1825, 2/9? 2/9 Which is the biggest value? (a) 5 (b) 3945/8 (c) -3/2 b Which is the third smallest value? (a) 1/12 (b) -4 (c) 1 (d) 8 (e) 26 c What is the biggest value in -5, -44, -0.06, -1, 1/2, -118? 1/2 Which is the fourth smallest value? (a) 0.4 (b) 4 (c) 133 (d) -3/14 c Which is the third smallest value? (a) 110375/4 (b) -2 (c) -0.3 a Which is the second biggest value? (a) 1/99 (b) 28.8 (c) 4 (d) 5 d What is the second smallest value in -5, 0.2, -2, 67, -3, 0.3? -3 Which is the second biggest value? (a) -5 (b) 483 (c) -3/4 (d) -0.2 (e) 4 e Which is the biggest value? (a) -2.1 (b) 169 (c) 0 b Which is the second biggest value? (a) -8 (b) 1 (c) 0.3 (d) -2117 c Which is the second biggest value? (a) -0.1 (b) -24/7 (c) -0.5 (d) -0.6 (e) -4 c What is the smallest value in 192, -179, -18, 4, -3? -179 What is the biggest value in 5, 3/2, 8, -38? 8 Which is the fifth smallest value? (a) 1 (b) 1063/13 (c) 15 (d) -5 (e) -0.4 b What is the fifth smallest value in -217, 2/7, 4, -16, 7? 7 Which is the third biggest value? (a) 3 (b) 13 (c) 75709 a Which is the third smallest value? (a) 1132 (b) -9 (c) -22 (d) -3/8 d What is the fifth biggest value in 0, -1/8, -257, 2, 3? -257 Which is the smallest value? (a) 3174 (b) -2/77 (c) -2/19 c Which is the third
{ "pile_set_name": "DM Mathematics" }
se 15) in base 8? -1554672 Convert 15543711 (base 8) to base 6. 204540441 -7373 (base 12) to base 6 -134223 467684 (base 9) to base 2 1000100101010001011 What is -545233 (base 7) in base 6? -2014004 Convert -6100492 (base 10) to base 3. -102110221022011 Convert -77476033 (base 8) to base 2. -111111100111110000011011 What is -3144971 (base 10) in base 4? -23333310023 Convert -2311311202 (base 4) to base 2. -10110101110101100010 1682429 (base 11) to base 12 b5a050 What is 76ec9 (base 15) in base 10? 377964 What is -4a36 (base 11) in base 14? -2577 Convert -405177 (base 11) to base 10. -651064 What is -22413a1 (base 11) in base 6? -220050013 What is -2a7182 (base 11) in base 7? -4030463 2302b09 (base 12) to base 4 121221132321 What is 57037 (base 9) in base 6? 451354 Convert -55a4d2 (base 14) to base 4. -23012112220 Convert -101120121122 (base 3) to base 14. -55c46 b4a7 (base 15) to base 8 112446 What is -7b458b (base 14) in base 5? -2033340143 12020323031 (base 4) to base 5 403000141 What is 121755b (base 12) in base 14? 677b39 What is 185089 (base 10) in base 13? 66328 Convert -244300320 (base 5) to base 11. -7268a7 Convert 169a719 (base 13) to base 4. 123332232013 -166706 (base 9) to base 4 -121033002 102111201002202 (base 3) to base 5 3031200110 268637 (base 9) to base 4 213333220 What is 2000021012210 (base 3) in base 5? 233140031 What is a2103 (base 12) in base 16? 33813 -112011111200 (base 3) to base 6 -5550543 37678 (base 14) to base 7 1103511 Convert 26067240 (base 8) to base 4. 112012322200 28a086 (base 13) to base 6 33141534 What is -3301220122 (base 4) in base 11? -616658 -16143141 (base 7) to base 15 -20b4c0 -27526 (base 9) to base 10 -18654 What is 1714b18 (base 12) in base 6? 245543232 Convert 170a43 (base 11) to base 10. 264795 Convert -2102020000022 (base 3) to base 4. -10321123001 -11111201010012 (base 3) to base 4 -21020312330 110000101001011100 (base 2) to base 5 22334020 -2215015 (base 6) to base 5 -12030001 Convert -10011100000110101000110 (base 2) to base 4. -103200311012 -201210120000100 (base 3) to base 9 -21716010 What is -243411511 (base 6) in base 15? -61d467 What is -231403344 (base 5) in base 7? -11606246 Convert 6479bd (base 14) to base 11. 1a13868 Convert 11010111011001000001100 (base 2) to base 16. 6bb20c 2103312 (base 12) to base 6 341242022 6ad57 (base 14) to base 4 333213101 What is -1100010000001100 (base 2) in base 10? -50188 2201022000200 (base 3) to base 2 101100000001110010101 What is -138c3a (base 13) in base 2? -1110100010111010101 -20441240 (base 5) to base 2 -101001110110110101 What is 12000201000121 (base 3) in base 7? 31463245 What is 22624602 (base 7) in base 8? 7456100 Convert -17377 (base 14) to base 9. -87886 1820591 (base 10) to base 14 3556a3 77048 (base 10) to base 12 38708 Convert 265950b (base 12) to base 9. 15240502 What is 499081 (base 14) in base 10? 2521849 What is 1405003 (base 6) in base 15? 18563 -183cb5 (base 16) to base 3 -2222200212211 1110112541 (base 6) to base 5 11041000312 Convert -1cd8c (base 14) to base 13. -278c7 Convert 1012230043 (base 5) to base 6. 112214200 67322 (base 10) to base 11 46642 1110451 (base 9) to base 3 1010100111201 5136116 (base 9) to base 10 2740407 What is -18712635 (base 9) in base 14? -13822b7 What is 5e7cc0 (base 16) in base 6? 340420052 What is -154243 (base 7) in base 15? -8ead 1571846 (base 9) to base 8 3253060 -10153261 (base 7) to base 8 -3203025 What is -1000222010212 (base 3) in base 12? -2266ab 20102023 (base 4) to base 14 c519 Convert -330252513 (base 6) to base 2. -10110100000101111111101 What is -2514204 (base 6) in base 10? -134428 What is -1010111000100000011000 (base 2) in base 12? -b56b88 Convert -100111100001000 (base 2) to base 9. -30670 -3d026d (base 15) to base 12 -b97657 Convert d036ee (base 15) to base 10. 9883574 What is 5da21b (base 14) in base 7? 36224134 Convert -1220122001100 (base 3) to base 15. -1511ac 410023431 (base 5) to base 2 110010000111101111110 What is -1053134015 (base 6) in base 9? -23785172 What is -4521315 (base 7) in base 14? -1080b5 Convert 1111001100011110 (base 2) to base 15. 13693 Convert -18aa01b (base 12) to base 6. -303252035 Convert -1001110010011111101111 (base 2) to base 4. -21302133233 Convert -734071 (base 13) to base 15. -383194 What is 65103 (base 11) in base 3? 11210210122 Convert 11420220 (base 6) to base 8. 1277664 What is -100151001 (base 6) in base 15? -236e44 Convert 1582746 (base 10) to base 2. 110000010011010011010 What is -503757 (base 8) in base 14? -4463d Convert 2014260 (base 7) to base 6. 5043243 Convert 1310114441 (base 5) to base 14. 5d6cac What is -3250427 (base 12) in base 5? -4421404103 -192a68 (base 12) to base 4 -1223201300 What is -1201301211 (base 4) in base 7? -3255411 What is -a8d82 (base 14) in base 6? -12432250 -11100110010010011010 (base 2) to base 8 -3462232 Convert 761635 (base 8) to base 3. 110221121220 68a96 (base 12) to base 13 4b825 What is -1010110000110011010 (base 2) in base 7? -2666116 11030312 (base 4) to base 5 1140202 What is 111101101011010000100000 (base 2) in base 10? 16167968 10313320 (base 5) to base 3 11111111221 13133 (base 14) to base 7 253463 -14411512 (base 6) to base 7 -4146605 -41a095 (base 16) to base 10 -4300949 What is a266a (base 11) in base 5? 14243444 Convert 23210322 (base 7) to base 4. 13301013303 What is -1045646 (base 7) in base 3? -20120100202 -125910 (base 10) to base 5 -13012120 89c855 (base 13) to base 4 30122232023 -13150251 (base 6) to base 10 -434263 5cd46 (base 16) to base 8 1346506 What is -41935 (base 16) in base 4? -1001210311 What is 22222332 (base 4) in base 15? ce40 What is -4021210 (base 6) in base 15? -3b240 511755 (base 9) to base 2 1001010000000110000 123639 (base 10) to base 3 20021121020 What is -ba0480 (base 14) in base 6? -343015504 Convert 922a98 (base 14) to base 4. 102302112132 Convert -3030157 (base 8) to base 5. -201030311 15305355 (base 6) to base 11 33803a 235727 (base 15) to base 3 10011211000201 What is -13519 (base 15) in base 7? -345315 587107 (base 10) to base 12 243917 Convert -5044703 (base 8) to base 9. -2445776 What is ab23 (base 12) in base 3? 221220200 Convert 52378d (base 14) to base 2. 1010100101101010000001 1121002010022 (base 3) to base 5 204113131 Convert 11110110100010011111 (base 2) to base 6. 33351035 What is -44143532 (base 7) in base 8? -16357134 Convert 24523 (base 12) to base 7. 263145 What is -1b218 (base 13) in base 15? -10ae2 1012021000121121 (base 3) to base 5 13342104331 What is 146a42 (base 11) in base 13? 80225 1f6fd (base 16) to base 7 1044260 What is -315466 (base 9) in base 4? -231311121 What is 111111101001010010 (base 2) in base 6? 5330522 What is -18693 (base 16) in base 8? -303223 Convert 284340 (base 9) to base 13. 6113a Convert -11ccb96 (base 13) to base 3. -101110221110221 Convert -1101011110100111 (base 2) to base 9. -83651 14e4e39 (base 15) to base 6 1300443243 What is -87222 (base 11) in base 8? -367367 What is a3103 (base 11) in base 4? 210233333 Convert 714756 (base 13) to base 3. 11222000011220 What is -131120213 (base 4) in base 13? -42a25 604345 (base 9) to base 5 42414434 Convert 110923 (base 14) to base 12. 23a617 Convert -12112101221012 (base 3) to base 14. -5679a9 What is -1392a (base 15) in base 12? -30427 -3040335 (base 6) to base 11 -9a176 Convert -99346 (base 10) to base 15. -1e681 Convert -15253a (base 13) to base 9. -871415 Convert 434331241 (base 5) to base 14. 369b01 100101101011011101110001 (base 2) to base 7 146645654 What is 2302924 (base 10) in base 2? 1000110010001111001100 What is -3153225 (base 6) in base 7? -1213532 Convert 38be5 (base 16) to base 6. 4552005 Convert 64166 (base 7) to base 8. 37003 Convert -13257012 (base 8) to base 10. -2973194 5221178 (base 9) to base 4 22220332322 Convert -3402233041 (base 5) to base 10. -7461646 1351656 (base 7) to base 12 88729 What is -2312021130 (base 4) in base 11? -46a5a1 Convert -14411340 (base 5) to base 7. -1210615 What is -203fc5 (base 16) in base 13? -58cca2 What is 7872a (base 11) in base 2? 11011110101011110 Convert -9a038 (base 11) to base 12. -6bb94 What is -44190 (base 10) in base 6? -540330 What is -41322432 (base 6) in base 16? -1233d4 Convert 1365235 (base 7) to base 2. 101100111111
{ "pile_set_name": "DM Mathematics" }
*h**2/4 Suppose 0 = -c + 3*b + 20, 207*b + 22 = -c + 203*b. Find s such that -2/15*s**c + 0*s + 2/15 = 0. -1, 1 Let t(m) be the third derivative of 0 + 0*m**3 - 1/70*m**7 + 0*m**4 + 1/5*m**6 + 185*m**2 + 0*m - 3/4*m**5. Find z such that t(z) = 0. 0, 3, 5 Let n(d) be the third derivative of d**7/105 - d**6/20 - 2*d**5/15 - 1711*d**2. Suppose n(r) = 0. Calculate r. -1, 0, 4 Let s(i) be the second derivative of i**6/15 + 7*i**5/5 - i**4/2 - 44*i**3/3 - 28*i**2 - 281*i. Factor s(p). 2*(p - 2)*(p + 1)**2*(p + 14) Let u(j) = 43*j + 10. Let l be u(0). Suppose -l*c - 2140 + 2170 = 0. Find o, given that -2/3*o**c + 0*o + 2/3*o**2 + 0 = 0. 0, 1 Factor -312*g - 2322*g**2 - 5207*g**2 - 3853*g**2 + 219*g**3. 3*g*(g - 52)*(73*g + 2) Let i be (-51)/(-34)*(-2)/(-3). Suppose 0*c + 4 = 4*r - 4*c, 0 = c - i. Solve 3*x**2 - 7*x + 10 - 2*x**r + 4*x**2 - 8*x = 0 for x. 1, 2 Suppose r + s - 120 = 0, 0 = -7*r + 8*r + 4*s - 129. Suppose 0 = i + 11 - r. Solve -62*l**2 - 147*l**3 - i*l**2 - 19*l + 6 + 4*l = 0 for l. -1, -2/7, 1/7 Let p(r) be the second derivative of -135*r**4/14 - 289*r**3/3 + 10*r**2/7 - 4*r + 256. Let p(w) = 0. What is w? -5, 2/405 Let i(a) be the first derivative of 34/27*a**3 - 2/9*a**4 - 4/9*a**2 - 52 + 0*a. Factor i(c). -2*c*(c - 4)*(4*c - 1)/9 Let 13124*x**4 - 2128*x**2 + x**5 - 2688 + 3*x**5 + 120*x**3 - 4768*x - 12952*x**4 = 0. What is x? -42, -2, -1, 4 Factor -72980 - 93327 + 9*z**3 - 490*z**2 - 15980*z - 16*z**3 - 7093 + 2*z**3. -5*(z + 30)*(z + 34)**2 Let t = -98 - -57. Let m = 54 + t. Suppose -16*k**4 - m*k**3 - 4*k**2 - 3*k**5 - k**5 + 4*k**4 + k**3 = 0. Calculate k. -1, 0 Let p(m) be the first derivative of m**6/1620 + m**5/90 - 7*m**4/108 - 9*m**3 - 233. Let q(r) be the third derivative of p(r). Determine b, given that q(b) = 0. -7, 1 Let y be (-16)/(-20)*(-430)/(-602). Let a(r) be the third derivative of 2/35*r**5 + 26*r**2 + 64/21*r**3 + 0 + y*r**4 + 1/420*r**6 + 0*r. Factor a(w). 2*(w + 4)**3/7 Suppose 30 = 5*n, -2*v - 475*n + 477*n = 6. Let c(q) be the second derivative of 0 + 1/2*q**2 - 1/48*q**4 + 7*q + 1/8*q**v. Factor c(m). -(m - 4)*(m + 1)/4 Suppose 4*a = -5*p - 14, -5*p - 6 = 2*a + 6. Let g = 287 + a. Factor -g*z - 2 + 2*z**2 + 286*z. 2*(z - 1)*(z + 1) Suppose 0 = -4*k + 5*k + 6. Let y be ((-252)/(-30))/(k/(-15)). Factor -y*x + 12 - 3*x**3 + 7*x**2 + 11*x**2 + 6 - 12*x. -3*(x - 3)*(x - 2)*(x - 1) Let h(t) = -3*t**3 - 189*t**2 - 4890*t + 48372. Let p(g) = 3*g**3 + 202*g**2 + 4891*g - 48374. Let v(c) = 5*h(c) + 6*p(c). Factor v(y). 3*(y - 7)*(y + 48)**2 Let l(f) be the first derivative of -f**6/6 + 2*f**5 - 33*f**4/4 + 40*f**3/3 - 8*f**2 - 1620. Find a, given that l(a) = 0. 0, 1, 4 Let z = 50 + -60. Let g be z/15*3/(-2)*3. Solve 3 - 2 - 4*j**3 + 2*j**g + 1 + 2*j - 2*j**2 = 0. -1, 1 Suppose -1/4*y**2 + 202*y - 40804 = 0. What is y? 404 Let h(o) be the third derivative of -o**8/16800 + o**7/2100 - 167*o**3/6 + 12*o**2 - 4. Let n(f) be the first derivative of h(f). Factor n(c). -c**3*(c - 4)/10 Let t(i) = 7*i**2 - 27*i - 25. Let h(n) be the second derivative of -5*n**4/4 + 55*n**3/6 + 49*n**2/2 - 36*n. Let g(y) = -3*h(y) - 7*t(y). Factor g(x). -4*(x - 7)*(x + 1) Let v(w) be the third derivative of -w**5/60 + 49*w**4/24 - 209*w**3/3 + 7452*w**2. Determine x, given that v(x) = 0. 11, 38 Let b(s) be the second derivative of s**6/720 + s**5/180 - s**4/144 - s**3/18 + 29*s**2/2 - 39*s. Let c(p) be the first derivative of b(p). Factor c(r). (r - 1)*(r + 1)*(r + 2)/6 Suppose -3*a = 2*y - 1 - 11, 2*a - 8 = 5*y. Factor 2*o**a - 5*o - 16*o**2 + 34 - 7 + 18*o**3 - 21 - 5*o**5. -(o - 1)**3*(o + 2)*(5*o + 3) Let a(g) = 14*g**3 - 504*g**2 - 570*g - 70. Let y(m) = -8*m**3 + 505*m**2 + 571*m + 73. Let z(u) = 5*a(u) + 6*y(u). Factor z(l). 2*(l + 1)*(l + 22)*(11*l + 2) Let r be ((1/1)/10)/(((-1575)/(-1400))/9). Solve -8/5*n**2 + 0*n**3 + 8/5*n**4 + 4/5*n**5 + 0 - r*n = 0. -1, 0, 1 Determine h, given that -32*h**4 + 8*h**4 - 202*h**2 - 276*h**3 + 22*h**4 + 300 - 38*h + 218*h**3 = 0. -25, -3, -2, 1 Let p(c) be the third derivative of c**7/105 + 23*c**6/180 + 59*c**5/90 + 19*c**4/12 + 2*c**3 - 3151*c**2. What is y in p(y) = 0? -3, -1, -2/3 Let c(p) be the first derivative of p**8/84 - 4*p**7/105 - p**6/10 + 11*p**2 - 67. Let u(z) be the second derivative of c(z). Determine b so that u(b) = 0. -1, 0, 3 Let d(r) be the second derivative of -2*r**6/135 + 2*r**5/15 + 47*r**4/27 + 56*r**3/9 + 88*r**2/9 + 912*r. Solve d(h) = 0 for h. -2, -1, 11 Solve -33*g**3 + 3/2*g**4 + 972*g + 243/2*g**2 - 3240 = 0 for g. -5, 3, 12 Suppose 3*u = a + 10, 3*u + 4*a + 10 = -0*a. Suppose -u*d - g = 0, 2*d + g + 8 = -2*g. Find j such that -6*j - j - 1 + 4*j**d - j + 5 = 0. 1 Suppose c = 4*c - 9, -2*c = -2*d + 78. Let i = -35 + d. Factor i*g**3 - 2*g**3 - 4*g**5 - 4*g**5 + 3*g**5. -5*g**3*(g - 1)*(g + 1) Suppose 2711*o - 2709*o - 26 = 2*q, 5*q + 53 = o. Factor -5/3 - 1/3*x + 5/3*x**2 + 1/3*x**o. (x - 1)*(x + 1)*(x + 5)/3 Factor 4*z**4 - 13*z**2 - 261*z**3 - 241*z**3 + 518*z**3 - 6*z - z**4. z*(z - 1)*(z + 6)*(3*z + 1) Factor -3/8*k**2 + 39/8*k + 0. -3*k*(k - 13)/8 Suppose 4*s + 25 - 50 = -5*f, 3*s + 42 = 3*f. Let r(l) be the first derivative of 8*l + 17*l**4 - 8*l**3 + 56/5*l**5 - 14*l**2 - f. Find u such that r(u) = 0. -1, 2/7, 1/2 Let d(r) = 4*r**5 - r**4 + r**2 + r + 1. Let x(v) = 35*v**5 - 7*v**4 + 12*v**3 + 23*v**2 + 14*v + 9. Let g(p) = 36*d(p) - 4*x(p). Factor g(f). 4*f*(f - 5)*(f + 1)**3 Let s be 324/1215 - 2/12. Let i(t) be the first derivative of 12/5*t + 20 - 6/25*t**5 - s*t**4 + 34/15*t**3 - 19/5*t**2. Determine z so that i(z) = 0. -3, 2/3, 1 Let t(n) = 25*n**2 + 56*n + 784. Let p(a) = 54*a**2 + 112*a + 1568. Suppose -5*q = -2*q - 3*u + 3, -q + 4*u = -14. Let l(b) = q*p(b) + 13*t(b). Factor l(f). (f + 28)**2 Let p(w) be the third derivative of w**7/1050 + 19*w**6/600 + 3*w**5/10 + 41*w**4/30 + 52*w**3/15 - 6*w**2 - 147. Find g such that p(g) = 0. -13, -2 Let q(z) be the third derivative of 12 - 2*z**2 - 1/15*z**4 + 0*z + 7/300*z**5 + 0*z**3 + 1/600*z**6. Factor q(n). n*(n - 1)*(n + 8)/5 Suppose 5*j - 310*h + 287*h + 312 = 0, -3*j - 5*h + 76 = 0. Solve 0*o - 3/7*o**3 + 0 - 3/7*o**j = 0. -1, 0 Determine l, given that 45*l**2 - 3*l**4 - 24*l**3 + 122155720 + 162*l - 122155720 = 0. -9, -2, 0, 3 Let j(r) be the third derivative of -r**5/20 - r**4/2 + 5*r**3/2 + 11*r**2 - 26*r. Factor j(d). -3*(d - 1)*(d + 5) Let m(v) be the third derivative of -v**5/20 + 153*v**4/4 + 307*v**3/2 + 2*v**2 + 58. Determine t, given that m(t) = 0. -1, 307 Suppose 2*c - 33 = -27. Suppose 70 + 14 = c*u. Let 49*x**3 - 24*x**3 - 19*x**2 - 33*x - u*x**3 - 9 = 0. Calculate x. -3, -1/3 Let t be ((-52)/6)/((-42)/(-63)). Let f(r) = -7*r**2 + 21*r - 14. Let p(a) = 16*a**2 - 43*a + 27. Let b(s) = t*f(s) - 6*p(s). Factor b(y). -5*(y - 1)*(y + 4) Let t(k) be the third derivative of -47*k**6/60 + k**5/20 + 47*k**4/12 - k**3/2 - 689*k**2 + 2. What is x in t(x) = 0? -1, 3/94, 1 Let o(k) be the second derivative of 87*k + 0*k**3 + 0 + 0*k**2 + 1/2*k**4 - 33/20*k**5. Solve o(c) = 0. 0, 2/11 Let s = 24 + -21. Let t(k) = k**2 - 4*k + 5. Let u be t(s). Factor -2*v**u - 18 - 4*v - v + 17*v. -2*(v - 3)**2 Let k(d) be the first derivative of d**4/16 - 275*d**3/12 - 553*d**2/8 - 277*d/4 + 1942. Factor k(x). (x - 277)*(x + 1)**2/4 Suppose -132 = -67*p + 64*p. Factor -3 + 15 + 51*j - p*j + j**2. (j + 3)*(j + 4) Let d be (-8)/6*(6/8)/((-2544)/3180). Let a(k) be the first derivative of 10*k**3 - 45/2*k**2 + 20*k - d*k**4 - 32. Find g, given that a(g) = 0. 1, 4 Let d(l) be the second derivative of -100000/7*l**2 + 0 + 21*l - 5000/21*l**4 - 50000/21*l**3 - 1/147*l**7 - 10/21*l**6 - 100/7*l**5. Let d(i) = 0. Calculate i. -10 Let i(x) be the third derivative of x**5/15 + 91*x**4/6 - 78*x**2 + 11. Find w, given that i(w) = 0. -91, 0 Let m(u) = u**3 - 26*u**2 - 46*u + 65. Let a be m(28). Let o = -343 + a. Suppose 1/3*t**o + 0*t - 1/3 = 0. Calculate t. -1, 1 Let u(q) = q**2 - 2*q - 4. Let i(b) = -b**2 + 10*b - 2. Let g be i(10). Let d be u(g). Factor -6*h**2 + 165*h**5 + 4*h**d - 2*h**3 + 2*h**2 - 163*h**5. 2*h**2*(h - 1)*(h + 1)*(h + 2) Determine p, given that -4/3*p**2 - 1/3*p**3 + 10/3 + 7/3*p = 0. -5, -1, 2 Let l(b) be the third derivative of -b**5/12 - 65*b**4/8 - 90*b**3 + 5*b**2 + 6*b. Solve l(m) = 0. -36, -3 Suppose
{ "pile_set_name": "DM Mathematics" }
is the smallest value in -5/7, -11, y, 1/5? -11 Let k = -4378.3 + 4377. Which is the fifth biggest value? (a) k (b) -0.4 (c) -5 (d) 2/3 (e) -31 e Let i = 434.366 + -434. Let u = i + 0.034. Let j = -0.11 - 2.89. What is the smallest value in -0.2, -0.5, u, j? j Let f = 10 + -14. Let y = -2.5 - -2. Let i = 0.0683 + -0.2683. What is the biggest value in 5, y, i, f? 5 Let m = -770/3 - -257. Let f = 4.9324 - -0.0676. Which is the second biggest value? (a) m (b) f (c) 2 (d) -3 c Let y = 0.02 + -0.32. Let r = 1544 + -1544.7. Which is the smallest value? (a) y (b) r (c) 5 (d) 6 b Let q(y) = -2*y**2 - 35*y + 80. Let t be q(3). What is the second biggest value in -4/61, t, -3? -3 Let h be 88023/(-3003) - 2/14. Let n = h - -2158/77. What is the second smallest value in -5, n, -1? n Let o = 13457/945 + -501/35. What is the second smallest value in -1/7, o, -5, 1/14, -20? -5 Let p = -2.8457 - 0.1543. Which is the biggest value? (a) p (b) 5 (c) 7 (d) 20/3 c Let t = 49/44 - -3/22. Let a be ((-715)/(-150) - (-15)/18) + -5. What is the fourth smallest value in t, -2/5, a, -6? t Let c = -13927 - -13932. What is the third smallest value in -1.45, c, -2/13, 4? 4 Let c = 6884 - 6884. What is the biggest value in c, 4, -119? 4 Let j = -371.081 - -371. Let o = j - -0.481. What is the fourth biggest value in -47, -1/5, -1, o? -47 Let n(z) = -87*z - 2787. Let w be n(-32). What is the third smallest value in -1/193, w, 6? 6 Let n = -3/115 - 451/345. Let v = 11.2 - 0.2. Let p = v + -18. What is the third biggest value in 0.2, p, n? p Let s = -0.2 - 0.2. Let z be 15/6*(-1 - 1). Let y(n) = n**2 - 1239*n - 6219. Let f be y(-5). Which is the third smallest value? (a) z (b) s (c) -2 (d) f b Suppose 29*d = 25*d + 12. Let s be d/(-36)*259/190. Let i = -1/120 - s. What is the smallest value in -1/2, i, 0? -1/2 Suppose 5*c + 42 - 19 = p, 44 = 8*p - 5*c. What is the fourth biggest value in -2/9, -55, p, 1/10? -55 Let h be (69/27 - 2) + (10 - (-120)/(-12)). Which is the biggest value? (a) 2/3 (b) -2/9 (c) 0.05 (d) h a Let c = 387 - 6581/17. Let v = 926 + -4628/5. What is the second biggest value in -1/3, 2/9, v, c? 2/9 Let o = -7.7 + 7. Let n = 1224 + -1223.7. What is the fourth biggest value in -2/9, n, -2, o? -2 Let k = -0.58 - -0.85. Let i = 59903.9 - 59904. Which is the fourth smallest value? (a) 0.2 (b) k (c) -0.3 (d) i b Let k be (-3)/(-36)*-3 - (-10)/10. Which is the smallest value? (a) 95 (b) 0.3 (c) k b Let w = 0.0259 - -3.9741. What is the third biggest value in w, 11, -0.2? -0.2 Let k = 111.12 + -110.12. Let s = 11.9 + -9.96. Let p = 0.06 + s. Which is the third biggest value? (a) k (b) p (c) -4 c Let q be 222/(-296)*(-36)/39. Which is the second biggest value? (a) 2 (b) -2 (c) q (d) 30/7 a Let z = 40.4 + -96. Let h = z - -14. Let u = -42 - h. What is the second biggest value in 0.2, 0.3, u? 0.2 Let f = 31897/3 - 10632. Which is the fifth smallest value? (a) 0.1 (b) 0.029 (c) -1 (d) f (e) -2 d Let y = 16195/4 + -4049. What is the biggest value in -1385, y, 5? 5 Let q be 250/40*4/(-78) + 2/12. Suppose 3 = 2*w + 1. What is the fourth biggest value in w, q, -5, -2? -5 Let i = 784 - 3109/4. Let k = -15783 - -15781. What is the smallest value in 0.09, k, i? k Let r = -83 - -82.8. Let y = -1.08751 + 0.08751. Which is the third biggest value? (a) y (b) -5 (c) -2 (d) r c Let x be 100/(-42) + -23 + 27. Let f = 20/21 - x. Let h be ((-20)/8)/5 - 0. What is the third biggest value in f, -2/7, h? f Let t be 3/(-12) - 3/4. Let f = 3 - t. Let b be (-9)/8*(-7)/(-21). What is the third biggest value in f, b, 2, -1/4? -1/4 Let r = 265.501 + 0.499. Let w = 279 - r. Which is the biggest value? (a) 0.2 (b) -0.5 (c) 0.3 (d) w d Let h = -25530 + 25535. Which is the biggest value? (a) 2 (b) -9909 (c) h c Let o = 107.17 + -107.07. Which is the fourth biggest value? (a) 0.3 (b) 3 (c) o (d) -1 d Let h = 274/2175 + -4/87. Let l = h - -17/100. Which is the third biggest value? (a) l (b) -0.1 (c) 0.23 b Let o = 73.164 - 72.964. Let b be 626/(4 + -2 - -2). What is the biggest value in -5/2, b, o, -1/6? b Let y = 2.3806 - 3.3806. Which is the third biggest value? (a) 2/31 (b) -5 (c) -3 (d) y (e) -0.8 d Let l = 172 + -184. Suppose 18*m + 119 = 29. What is the biggest value in l, m, 11? 11 Let d = -0.07 + 0.57. Let w be (-2 + 22/(-4))/((-4)/8). Suppose w = 4*p - 5. Which is the smallest value? (a) -5 (b) p (c) d a Let x = -2/3 + 1/2. Let p = -3/20 - -3/4. Let j = 3.1 + -3. Which is the biggest value? (a) j (b) 6 (c) p (d) x b Let s = 21797/7 - 3113. Let z = -5.9 + -0.1. What is the fourth smallest value in z, -0.3, s, -2? s Let x = 17786.7 - 17787. What is the third smallest value in 0.3, x, 1, 1848? 1 Let w = -30 - -53. Let q = w - 20. Let v = 0.0106 + 1.9894. Which is the biggest value? (a) v (b) -2/15 (c) 0.1 (d) q d Let i = 25978 - 25978.01. Which is the smallest value? (a) i (b) 0.2 (c) -0.2 (d) 238 (e) 3 c Let u = 1 - 3. Let n = 1973.3 + -1897. Let a = 76 - n. What is the fourth biggest value in 2/5, -4/5, a, u? u Suppose -3825*s + 3790*s - 105 = 0. Let j = 7.7 + -8. What is the second biggest value in s, -59, -1, j? -1 Let u = 20 + -24. Let i be u + (21/(-2))/(-3). Let d = -36.9 - -37. Which is the smallest value? (a) d (b) i (c) 0 b Let v = -1.58 + 1.5. Let f = -2.92 + v. Let i be ((-8)/6)/((-4)/1). What is the smallest value in 1/6, i, f? f Let t = 542.8 - 342. Let z = 201 - t. Which is the smallest value? (a) -0.12 (b) z (c) 0.3 a Let h be 1*(-2)/226*(0 + -5). Let q = h + 299/904. Let t be (-4)/10 - (-58)/70. Which is the second smallest value? (a) t (b) -1/5 (c) q c Let m = -59.4 + -14.6. Let c = 102758.7 + -102759. What is the second biggest value in m, -5, c? -5 Let b be (1/5)/(2/(-8)). Suppose 15*g + 4*p = 11*g, 5*g - 2*p - 21 = 0. Let x = 0 + -0.2. What is the biggest value in x, b, 5, g? 5 Let u = -0.1084 + 0.8084. What is the second smallest value in -5, u, 1/9? 1/9 Let h be (-248)/(-64) - (2/48)/(7/(-21)). What is the third biggest value in 282, h, 5? h Let r = -1.2 - -0.2. Let k = 3786 + -3786.1. Let v = -16 - -14. Which is the third smallest value? (a) 2/7 (b) k (c) v (d) r b Let q = -43 - -42.99. Let s = -0.71 - q. Let d = s + 0.6. What is the third smallest value in -2, 0.05, d? 0.05 Suppose 3*s + 0*s + 2*s = 0. Suppose 4*x + n = s, -x + 2*n - 3 = 3*n. Suppose 6 = -2*d + f, -3*d = 2*d + f + x. What is the fourth biggest value in 8, -2, d, 2? -2 Let y = 7763 - 7767. Let t be (-10)/(-26)*4/(-10). Which is the biggest value? (a) y (b) t (c) 1/2 (d) -2/9 c Let k = 1390 + -1719. Which is the third biggest value? (a) -5 (b) k (c) -0.3 b Suppose 2*w = 2, -3*w = -u + 4 - 5. Let s = -25/2 - -13. Let g = -26317/5 - -5263. Which is the smallest value? (a) u (b) s (c) g c Let g = -9.913 + 9.853. What is the smallest value in g, -5, -2.7? -5 Let w = 24897 - 24901. Let u = 638/9 + -71. Which is the biggest value? (a) 0.1 (b) w (c) -6/7 (d) u a Suppose q + 1 = 6. Which is the fourth biggest value? (a) -5 (b) -7/5 (c) -0.5 (d) q (e) -2/3 b Let d = -0.08821 + 29.08821. What is the third biggest value in 4, -0.5, d? -0.5 Let q be ((-126)/49)/(27/(-126)). What is the smallest value in q, 1.3, 1? 1 Suppose -317*p - 90 = -302*p. What is the third biggest value in p, -166, -3? -166 Let v be -1 + 6 + 45/40*-4. Which is the second smallest value? (a) v (b) -5 (c) 2/7 (d) -0.3 d Let u = -5.13 - -5.5. Let w = u - 0.17. Let n = 18 + -13. Which is the biggest value? (a) 3 (b) 1 (c) n (d) w c Let a = 37.36492 - 0.37892. Let h = a + 0.014. Let r = h + -36.7. What is the smallest value in 1, r, 2, 0.5? r Let f = 5 - 2. Let n = 2046 - 14328/7. Which is the second smallest value? (a) -1/11 (b) n (c) f (d) 3/7 a Let p be 10*2/5 + -1 + 0. Suppose -23 = 10*m - p. Let q = 0.05 + 0.15. What is the second smallest value in m, 1/4, q, -4? m Let q = 1.291 + -0.291. Let f = 0.0659 - 0.0659. Let o = 2/129 + 115/903. Which is the second biggest value? (a) q (b) f (c) o c Let k = -1.8619 + -0.0381. Let p = -20 - -20.1. Which is the smallest value? (a) k (b) p (c) 3/7 a Suppose 4*p + 110 = 9*p + l, 3*p - 3*l = 66. Let f be 3 - (p/4 - 3). Which is the third smallest value? (a) -3.6 (b) 0
{ "pile_set_name": "DM Mathematics" }
qrt(88)))/(1*(5*-1*sqrt(80))/sqrt(10)). -9*sqrt(11)/5 Simplify -1 + 0 + -4*-5*(-4 + sqrt(325) + -5). -181 + 100*sqrt(13) Simplify -4*((1*(sqrt(500) - (-4 + sqrt(500) + -2) - -2*(sqrt(500) + 2*sqrt(500))) + -2)*1)**2. -72064 - 1920*sqrt(5) Simplify -2*(-5 + sqrt(176)/sqrt(4) + 5 - ((sqrt(440)*-1 - sqrt(440))*5)/sqrt(10)) + -3. -44*sqrt(11) - 3 Simplify (sqrt(3402) - 1*sqrt(3402) - sqrt(3402) - sqrt(3402))/(sqrt(36)/(sqrt(6)*4 - sqrt(6))) - (1 + (sqrt(2268) - (sqrt(2268) + -2))**2)*-5. -54*sqrt(7) + 25 Simplify -4 + (sqrt(108)*2*4 + sqrt(108)*-3*4 - (-2*(sqrt(108) - (-1 + sqrt(108) + 4 + sqrt(108))) + 1))**2. 504*sqrt(3) + 3933 Simplify ((-6*(sqrt(171) + 0 + 4 + sqrt(171)))**2 - (-2*(-6*(sqrt(19) + sqrt(38)/sqrt(2)))**2 + -5)) + -5. 1728*sqrt(19) + 30672 Simplify ((sqrt(432) + 0 - sqrt(432))**2 - sqrt(3) - (-4 + sqrt(3)*2)) + 4 + (((sqrt(297) + sqrt(33))*5)/(sqrt(99)*1 + sqrt(11)))**2. -3*sqrt(3) + 83 Simplify -1 + (-1*-6*sqrt(125)*-6*4 + 4)**2 + -3 + -2. -5760*sqrt(5) + 2592010 Simplify ((1*sqrt(4114) - sqrt(4114)) + sqrt(170)/sqrt(125))/(sqrt(512) + 2*sqrt(512)*1 + sqrt(512) - sqrt(512)) + 0. sqrt(17)/240 Simplify -4*(2 + (sqrt(156) - -6*(-4*sqrt(156) + sqrt(156)))/(sqrt(12) + sqrt(1728)*-4)). -8 - 68*sqrt(13)/47 Simplify (4 + (1 + sqrt(252)*2 - (-1 + sqrt(252))*-6 - (-2*sqrt(112)*6 + -2))*-5)**2. -18240*sqrt(7) + 1613161 Simplify -4 + (1*(sqrt(192) + (sqrt(192) - (sqrt(192) - (sqrt(192) + sqrt(192) + -5 + sqrt(192)*1))) + sqrt(192)) - (0 + -5 + 3 + sqrt(192)))**2. -192*sqrt(3) + 3077 Simplify (sqrt(35) - (sqrt(35) - sqrt(140))*4 - (sqrt(140)*2 + sqrt(140)))/(-2*-3*sqrt(21)/sqrt(3)*3). -sqrt(5)/18 Simplify (-3 + (-2 + sqrt(200) + -1*sqrt(200))*1)**2 - (sqrt(686)*-5)/(sqrt(42)/(sqrt(6)*2)). 25 + 70*sqrt(2) Simplify ((-2*sqrt(204)*1 - sqrt(204)*1*-2)*-3)/(-3*1*sqrt(972)*2). 0 Simplify ((sqrt(75) + -2 + 1 - ((sqrt(75) - (sqrt(75) + -1)) + -1)) + 1 + -1*sqrt(75) + -1 + 3*(sqrt(75) + -4) + sqrt(75))**2. -520*sqrt(3) + 1369 Simplify (4 + -6*(1 + sqrt(605)) - ((sqrt(605) - (sqrt(605) + -1))*-1 - (-1 + 1*sqrt(605) + sqrt(605))))**2 + -1. 176*sqrt(5) + 9683 Simplify ((5 + 2 + sqrt(1088))*5*6 - ((sqrt(1088) + -1 - sqrt(1088)) + -3 + sqrt(1088) + 0 + sqrt(1088) + -5)*-2)**2. 104448*sqrt(17) + 1294592 Simplify (3*sqrt(85)*2 + 4*(sqrt(85) + -2*sqrt(85)))/((sqrt(300)/(sqrt(5) - (sqrt(5)*1 - sqrt(5))))/sqrt(12)*-6). -sqrt(17)/3 Simplify -3*(-3*((-5*sqrt(3800) + sqrt(3800) - sqrt(3800)) + sqrt(3800)))/(2*sqrt(162) - -2*sqrt(162)). -10*sqrt(19) Simplify 2 + (4 + (sqrt(21)/(sqrt(75) + (2*sqrt(75) - sqrt(75)) + sqrt(75)))**2 - (4*(-4 + sqrt(700))*2)**2). -10309043/225 + 5120*sqrt(7) Simplify 2 + 5*-3*sqrt(304)*1 + ((sqrt(304)*1)**2*-1 + sqrt(304) - (sqrt(304)*1 + 3 + sqrt(304))) + 2. -303 - 64*sqrt(19) Simplify ((-1*sqrt(104))/sqrt(4))/sqrt(2) + -1 - (sqrt(637) + -2*sqrt(637) + 5 + sqrt(637) + 1 + 0 + sqrt(637) + sqrt(637))**2. -2585 - 169*sqrt(13) Simplify ((-4*(sqrt(110) - (sqrt(110) - 1*(sqrt(110) + sqrt(110)*1 + sqrt(110)))))/((-2*sqrt(100))/sqrt(10)*-4))**2*5. 495/4 Simplify 1*(5 + (sqrt(2057) + sqrt(2057)*1*-4 + sqrt(2057)*2*2 - (sqrt(2057) + (sqrt(2057) - 2*sqrt(2057)*1) + -4))**2). 88*sqrt(17) + 2078 Simplify (sqrt(209)*2*6)/(1*sqrt(22)/sqrt(2)) + -4 + -3*(3*sqrt(931)*-1 + sqrt(931))*3. -4 + 138*sqrt(19) Simplify (sqrt(20) + -4 - sqrt(5) - sqrt(500)*-5 - (-3 + ((-2 + sqrt(320))*-2 + sqrt(320) - sqrt(320))))**2. -670*sqrt(5) + 22470 Simplify (-3 + (sqrt(588)*-2)/(sqrt(864)*2) - 5*(sqrt(72) + sqrt(72) + -1 - (sqrt(2) + sqrt(2)*1*-1))*-6)**2. -47443*sqrt(2)/2 + 18680377/72 Simplify (sqrt(468) + 0 + sqrt(468) + sqrt(468) + 3 - sqrt(468) - (-1*sqrt(468)*6 - sqrt(468)) - 6*(-5 + sqrt(7488) + -1))**2. -7020*sqrt(13) + 106821 Simplify ((-4*-1*sqrt(114) - sqrt(114) - sqrt(114) - sqrt(114)*-2*6)*6)/((sqrt(864)*1)/(sqrt(36)*2)). 84*sqrt(19) Simplify (-5*sqrt(24)*4 - -1*sqrt(2400))/(-4*(2*sqrt(40)/sqrt(5) + -2*sqrt(72))). -5*sqrt(3)/8 Simplify (-5 + ((sqrt(3) - sqrt(3)*-1)**2*-4 - sqrt(3)) + -4 - (sqrt(1701) + sqrt(1701) + sqrt(1701)*1 + sqrt(1701))/(5*sqrt(112)))*1. -57 - 14*sqrt(3)/5 Simplify 3 + -6*(-6*(1*(sqrt(243) + (sqrt(243) - ((2*sqrt(243) - sqrt(243)) + -3)) + sqrt(243)) + 4)**2 + -2). 9072*sqrt(3) + 36771 Simplify (sqrt(200)*-1 + -3 - (2*sqrt(200) + sqrt(200))*4 - ((sqrt(200) + sqrt(200)*-2 + sqrt(200))*-5 + sqrt(200)*2 + 0))**2*6*3. 16200*sqrt(2) + 810162 Simplify 4 + ((sqrt(13) + sqrt(65)/sqrt(5)*1 + sqrt(13))**2 - (1 + (sqrt(26)/sqrt(2))**2) - 3*(3 + (sqrt(1573) - (sqrt(1573)*1 + sqrt(1573))) + sqrt(1573))**2). 80 Simplify -6*(-4 + sqrt(208) + (sqrt(208) - 2*sqrt(208))**2 + 1 + 0 + ((sqrt(208) - (sqrt(208) + -1*(sqrt(208) + -2))) + 4)**2 + 5). -2532 - 120*sqrt(13) Simplify (-3*sqrt(495))/(sqrt(5)*-1*-2) + ((-3*(sqrt(99) - sqrt(99)*-2 - sqrt(99)))/sqrt(9) - (5 + -2*sqrt(1100))**2). -4425 + 379*sqrt(11)/2 Simplify (4 + ((sqrt(114)*-1)/sqrt(6) + sqrt(19) + sqrt(1539) + 2 - 2*(0 + sqrt(1216))*-5))**2. 1068*sqrt(19) + 150535 Simplify ((-1 + sqrt(98) + sqrt(98) + 1)*4)**2 + -4*(sqrt(2) + 2) + (sqrt(10)/sqrt(5))**2 + -1 + -5. -4*sqrt(2) + 6260 Simplify ((4 + sqrt(1300) + 4 + 4 + 2*sqrt(1300)*4*2)*4 + -1)**2. 63920*sqrt(13) + 6013409 Simplify 4 + ((-1 + sqrt(72) + 0)**2 + (-3 + sqrt(242) + 4)**2)*-5. -1576 - 50*sqrt(2) Simplify (-2 + (sqrt(832) + -1*sqrt(832) + -5 - -4*(sqrt(832) - (sqrt(832) + 2*sqrt(832)))))**2 + -4*(-3*1*sqrt(832) + (0 + sqrt(832))*-5)**2. -159695 + 896*sqrt(13) Simplify -1*((-1*sqrt(99)*-3)/(sqrt(9) - (sqrt(729)*1 + sqrt(729))) - (sqrt(220) - -3*sqrt(220)*-1)/sqrt(5)). -65*sqrt(11)/17 Simplify ((sqrt(84) - -3*sqrt(84)*2) + (sqrt(84) - (sqrt(84) + (sqrt(84)*-2*-5 - sqrt(84)))))/((sqrt(4860) - 2*sqrt(4860))/sqrt(5)). 2*sqrt(7)/9 Simplify (-6*-3*sqrt(576)*1)/(-5*(sqrt(96)*-1*3 - sqrt(96))/sqrt(12)). 27*sqrt(2)/5 Simplify ((sqrt(126) + -1*sqrt(126)*1)/(sqrt(7) - sqrt(77)/(sqrt(11)*-2)))/(2*(sqrt(294)/sqrt(28))/sqrt(7)). 0 Simplify (((sqrt(70) + 4*-1*sqrt(70))/(sqrt(5) - -2*sqrt(80)))/(sqrt(21)/(sqrt(24)/(sqrt(40)/sqrt(5)) + sqrt(3) + sqrt(3))*-6))**2. 1/18 Simplify (sqrt(11) - (sqrt(33)/sqrt(3)*-6)**2)*-6 - 6*(sqrt(44)*1)/sqrt(4) - (((0 + sqrt(704))*-4)**2 + 1 + (-2 + sqrt(704))**2). -9597 + 20*sqrt(11) Simplify ((-4 + (sqrt(68) + (sqrt(68) - (1 + 0 + sqrt(68) + sqrt(68))) - 4*(1 + sqrt(68))))**2 - (2 + 1*(-1 + sqrt(68) + 0)**2)) + -1. 148*sqrt(17) + 1097 Simplify ((2*(sqrt(304) + (sqrt(304) + (sqrt(304) + 0)**2)*1) - ((sqrt(304) + -3*sqrt(304))**2 + -4)*2) + -4)*-1. -16*sqrt(19) + 1820 Simplify (-2*(1 + (1*2*sqrt(2000))/(sqrt(324)/sqrt(9) - (sqrt(576) + sqrt(4)))) + 3)**2. 8*sqrt(5) + 81 Simplify 1 + (((2 + sqrt(117)*-2)*3)**2 - (sqrt(104) + -6*sqrt(104)*1)/((sqrt(72) - sqrt(8))*-5)). -433*sqrt(13)/2 + 4249 Simplify -2*(((1*sqrt(120))/sqrt(8))/(sqrt(6)/(sqrt(10)/sqrt(5))) - (-4*sqrt(160))/(-1*sqrt(242))). 10*sqrt(5)/11 Simplify -1*((-5*sqrt(7920)*-1*3)/(2*((sqrt(44) - sqrt(11)) + sqrt(11))*-1*-4))**2. -10125/16 Simplify (4*((3*(0 + sqrt(704)) - -5*(2 + sqrt(704))) + 4 + -4) + -1)**2 + -4. 19968*sqrt(11) + 722413 Simplify ((sqrt(25)/sqrt(5))**2*-4 + sqrt(5)*3 + -4 - (-6*(sqrt(20)/sqrt(2) + sqrt(10)))/(sqrt(288) - ((sqrt(288) - -1*sqrt(288)) + sqrt(288)))) + -5 + -1. -30 + 5*sqrt(5)/2 Simplify (sqrt(35) + 4*(sqrt(35) + sqrt(70)/sqrt(2)) - sqrt(350)/(1*sqrt(10)))/(sqrt(500)*1*4 - (sqrt(500) + -1*sqrt(500))*-6). sqrt(7)/5 Simplify (5*(sqrt(152) + -4*1*sqrt(152) + sqrt(152))*-5)/(sqrt(288)*2*5 - -6*(sqrt(288) + 2*sqrt(288))). 25*sqrt(19)/84 Simplify ((sqrt(72) - ((sqrt(72) - -3*(sqrt(72) + sqrt(72)*3 + sqrt(72))) + sqrt(72)))/(sqrt(324)*4) + 0)**2*3. 32/3 Simplify ((sqrt(66) + 4*sqrt(66) + sqrt(66) + sqrt(66))*3 - (sqrt(66) + -4*sqrt(66)*3))/(1*(sqrt(54)/(sqrt(9) + -2*sqrt(9) - sqrt(9)) - sqrt(24)*-6)). 64*sqrt(11)/23 Simplify -4 + ((sqrt(300)*-1 - sqrt(300))/sqrt(6) - (-2*sqrt(500))/sqrt(10))/(2*sqrt(640)). -4 Simplify (sqrt(1700) - (-1 + sqrt(1700)) - (sqrt(34)/sqrt(2)*4)**2)*-5 - (2*sqrt(153) + -4 + 3 + -4). -6*sqrt(17) + 1360 Simplify -1*((0 + sqrt(128))*-5 + sqrt(128) + ((sqrt(128) + -1)*-5 - sqrt(128)) + sqrt(128) + (-6*(2*sqrt(98) + sqrt(98))*1)**2)*1. -31757 + 72*sqrt(2) Simplify ((sqrt(440)*-1 + sqrt(440))/sqrt(10) + sqrt(176)/sqrt(4)*3)/((sqrt(256) + (sqrt(256) - sqrt(256)*-1*3) + sqrt(256))*-2). -sqrt(11)/32 Simplify 4 + 3*(sqrt(228
{ "pile_set_name": "DM Mathematics" }
*(3 + d). Calculate l*j(h) + k(h). h**2 - 2*h Let x(o) be the third derivative of o**6/120 + o**4/24 - o**3/6 - 90*o**2. Let c(u) = u**3 + 3*u - 1. Give -c(w) + 3*x(w). 2*w**3 - 2 Let u(r) = -r. Let f(w) = -w + 1. Let j(l) = -f(l) + 3*u(l). Let s = 107 + -109. Let m(y) = 5*y + 4. Determine s*m(v) - 7*j(v). 4*v - 1 Let h(q) = 5*q**3 + 6*q**2 + 14*q + 8. Let w(t) = 11*t**3 + 12*t**2 + 29*t + 18. Calculate -9*h(c) + 4*w(c). -c**3 - 6*c**2 - 10*c Let q(c) = 13*c**2 - 4*c + 14. Let w(p) = -14*p**2 + 6*p - 16. Determine -6*q(a) - 5*w(a). -8*a**2 - 6*a - 4 Let x(o) = 6*o**3 - 11*o**2 + 9*o + 32. Let b(s) = 2*s**3 - 4*s**2 + 3*s + 12. Determine 8*b(m) - 3*x(m). -2*m**3 + m**2 - 3*m Let g(z) = z**3 + 2*z + 40. Let i(y) = -2*y**3 - 2*y - 39. Calculate -4*g(u) - 3*i(u). 2*u**3 - 2*u - 43 Let y(m) = -20*m**2 + 6. Let w(b) = -98*b**2 + 49*b**2 - 2 + 56*b**2. Let t = 8 + -12. Give t*y(k) - 11*w(k). 3*k**2 - 2 Suppose 24*h = 27*h - 15. Let g(s) = -9*s**3 + 6*s - 3. Let n(d) = 5*d**3 - 3*d + 1. What is h*n(p) + 3*g(p)? -2*p**3 + 3*p - 4 Let p(h) = 241*h**3 - 5*h**2 + 3*h + 5. Let u(a) = 724*a**3 - 14*a**2 + 8*a + 14. Determine -14*p(q) + 5*u(q). 246*q**3 - 2*q Let z(s) = -s**3 + 9*s - 2. Let m(d) = -d**3 + 4*d - 1. Suppose -3*l - 48*t + 52*t = -6, 4*l + 4*t + 20 = 0. Determine l*z(k) + 5*m(k). -3*k**3 + 2*k - 1 Let p(z) = -13*z + 3. Let n(c) = 4. Let t(m) = -2*m + 3. Let i(x) = -2*n(x) + 3*t(x). Calculate 5*i(y) - 2*p(y). -4*y - 1 Suppose 0 = -5*h - 3*x - 24, 2 + 8 = -h + 2*x. Let q be (6 - 0)*(2/h - 0). Let k(y) = 3*y**3 + 2*y + 2. Let u(s) = 4*s**3 + 3*s + 3. Give q*u(f) + 3*k(f). f**3 Let d(z) = -9*z**3 - 1603*z + 7. Let u(b) = -4*b**3 - 802*b + 3. What is -3*d(p) + 7*u(p)? -p**3 - 805*p Let t(b) = -2*b**2. Let j(l) = l**2. Let p(y) = -3*j(y) - 2*t(y). Let s be 5 - (-11 + 6 + 6). Let d(o) = -3*o**2. What is s*d(a) + 15*p(a)? 3*a**2 Let y(g) = -3*g**2 - 27*g - 6. Let f(x) = -6*x**2 - 54*x - 14. What is -2*f(s) + 5*y(s)? -3*s**2 - 27*s - 2 Let k(j) = -81*j**2 + 15*j - 15. Let q(d) be the third derivative of d**5/3 - d**4/6 + 2*d**3/3 - 756*d**2. Give -4*k(b) - 15*q(b). 24*b**2 Let w(l) = l**2 + l. Suppose -18*i - 2 = -19*i. Let b be (i - (-50)/5)*1/(-2). Let t(n) = -n**3 - 3*n**2 - 3*n - 1. Determine b*w(o) - 2*t(o). 2*o**3 + 2 Let r(t) = 2*t - 7. Let c(z) be the first derivative of z**2/2 - z - 86. Calculate -4*c(y) + r(y). -2*y - 3 Let p(n) = 10*n. Let c(u) = 28*u - 1. Determine 6*c(y) - 21*p(y). -42*y - 6 Let l(x) = -188762*x**3 - 1668*x**2 + 1668*x - 1668. Let w(o) = 566*o**3 + 5*o**2 - 5*o + 5. What is -5*l(u) - 1668*w(u)? -278*u**3 Let p(s) = -59*s + 5. Let b(j) = -54*j + 6. Calculate -2*b(h) + 3*p(h). -69*h + 3 Let k(d) = -2*d + 30. Let l(j) = 5*j - 62. What is -7*k(g) - 3*l(g)? -g - 24 Let z(q) = -2*q**3 - q**2 + 7*q - 5. Let i(w) = -7*w**3 - 4*w**2 + 26*w - 21. Give 6*i(o) - 22*z(o). 2*o**3 - 2*o**2 + 2*o - 16 Let b(k) = 1. Let x(y) = 4*y + 5. Let z(w) = -7*w - 9. Let f(l) = -10*x(l) - 6*z(l). Let o = 572 - 575. Calculate o*b(g) + f(g). 2*g + 1 Let j(x) = -x + 2. Let r(d) = -49*d - 1. Determine j(v) + r(v). -50*v + 1 Let s(d) = -2*d**2 + d + 1. Suppose -19*c = -20*c + 4. Suppose 2*w + 2 = -c*g, 4*g + 0*w = -w - 5. Let v(p) = p**3 + p**2 - p - 1. Determine g*s(b) - 2*v(b). -2*b**3 + 2*b**2 Let f(h) = 3*h**3 + 5*h**2 + 14*h - 8. Let r(z) = -9*z + 0*z**2 - 2*z**3 - 3*z**2 + 7 - 2. Let i be 1840/(-115)*2/4. Give i*r(a) - 5*f(a). a**3 - a**2 + 2*a Let a(m) = 65*m - 3. Let k(h) = 3706*h - 170. Calculate 170*a(x) - 3*k(x). -68*x Let n(x) = x**3 - 3*x. Suppose 18*q - 35*q - 51 = 0. Let i(v) = 4*v. Give q*i(k) - 4*n(k). -4*k**3 Let y(j) = 8*j - 1 + 717*j**2 - 3*j - 711*j**2. Let g(i) = 5*i**2 + 5*i - 1. Give 4*g(s) - 3*y(s). 2*s**2 + 5*s - 1 Let w(d) be the third derivative of d**6/120 - d**5/60 - d**4/24 + 9*d**2. Let u = -357 - -354. Let f(b) = -2*b**3 - 3*b**2 - 4*b. Determine u*w(p) + f(p). -5*p**3 - p Let q(x) = 8*x - 142. Let a(b) = 42*b - 710. Give 3*a(n) - 16*q(n). -2*n + 142 Let h(r) = -r**3 + r. Let j(n) = -14*n**3 - n**2 - 4*n - 2. Determine -5*h(i) - j(i). 19*i**3 + i**2 - i + 2 Let d(b) = 3*b**3 + 7*b - 2. Let h(t) = -3*t - 48. Let u(k) = -2*k - 30. Let q(j) = -5*h(j) + 8*u(j). What is -d(l) - 6*q(l)? -3*l**3 - l + 2 Let h(d) = 3. Let u(p) = 2. Let j(l) = 3*h(l) - 4*u(l). Let y(n) = 3*n + 6. Determine 6*j(z) - y(z). -3*z Let q be -5*(3 + 0)/((-25)/10). Let c(f) = -f**2 - 2*f - 2. Let j(l) = -l**2 - 2*l - 3. Determine q*c(k) - 4*j(k). -2*k**2 - 4*k Let w(d) = -4*d**3 - 5*d. Let p(h) = -5*h. Let z(g) = -12*g. Let c(m) = -5*p(m) + 2*z(m). Calculate -5*c(y) - w(y). 4*y**3 Let w(d) = -119*d - 2. Let g(j) = j. Determine 2*g(a) - w(a). 121*a + 2 Let u(z) = 5*z**2 - 255 - 4*z + 5*z + 257. Let p(v) = 11*v**2 + 2*v + 4. Calculate 6*p(h) - 13*u(h). h**2 - h - 2 Let k(w) be the first derivative of w + 1. Let f(v) = v**2 + 7. Let b = 136 + -134. Let p be (1/b)/((-7)/(-14))*-28. What is p*k(d) + 4*f(d)? 4*d**2 Let c(k) = k - 3. Let y(h) = h. Suppose -305 = 23*g - 328. What is g*c(w) + 3*y(w)? 4*w - 3 Let n(k) = k + 2. Let w(a) = -a**2 - a - 3. Suppose -3*s - 2 = 4*t, -s - 3*t = -2 - 4. Give s*n(y) - 4*w(y). 4*y**2 - 2*y Let s(g) = -7*g - 3. Let a(k) = -3*k - 1. Let b be 24/(-10) + 2 + 408/170. Calculate b*s(q) - 5*a(q). q - 1 Let p(c) = -3*c - 5. Let x(t) = -t. Give 3*p(h) - 12*x(h). 3*h - 15 Let j(l) = -7*l**2 + 6*l - 6. Suppose 2*n - 11*a = -13*a - 74, 39 = -n - 2*a. Let c(k) = -42*k**2 + 35*k - 35. Calculate n*j(g) + 6*c(g). -7*g**2 Let z(j) = -20*j**3 + 11*j**2 - 11*j - 5. Suppose 7 = -2*g + 29. Let f(p) = -7*p**3 + 4*p**2 - 4*p - 2. Give g*f(v) - 4*z(v). 3*v**3 - 2 Let y(p) = p**3 + p**2 - 1. Let s(a) = 40*a**3 + 36*a**2 - 36. Let f be (-5)/(20/16) + -68. Give f*y(l) + 2*s(l). 8*l**3 Let x(t) = -2*t**3 + 2*t**2 + 4*t - 4. Suppose 8*o + 0*o + 8 = 0. Let c(s) = s - 1. Give o*x(i) + 4*c(i). 2*i**3 - 2*i**2 Let t(d) = 1. Let p(k) = -10*k + 5. What is p(a) - 2*t(a)? -10*a + 3 Let o(m) = -14003*m - 275. Let c(n) = -778*n - 15. What is -55*c(b) + 3*o(b)? 781*b Let x(c) = -3*c**3 - 644*c**2 + 5*c. Let t(r) = -r**3 - r**2 + r. What is -5*t(n) + x(n)? 2*n**3 - 639*n**2 Let y(z) = 13*z**2 - 6*z + 18. Let s(d) = 25*d**2 - 14*d + 37. Give -2*s(t) + 5*y(t). 15*t**2 - 2*t + 16 Let h(q) = -q**3 - 24*q**2 + 9*q + 2. Let p(v) = -4*v**2 + v - 1. Give -h(z) + 6*p(z). z**3 - 3*z - 8 Let p(i) = 23*i + 22. Let t(v) = 16*v + 16. Let c(j) = -5*p(j) + 7*t(j). Let f(z) = 9*z - 7. Give -8*c(w) - 3*f(w). -3*w + 5 Let p(y) = -5*y**2 - 13*y + 7. Let o(m) = -15*m**2 - 37*m + 21. Determine 6*o(w) - 17*p(w). -5*w**2 - w + 7 Let r = 2294 + -2300. Let a(t) = -28*t**2 - 11*t. Let p(f) = 14*f**2 + 6*f. Determine r*a(m) - 11*p(m). 14*m**2 Let x be 15/(-40) - (-42)/(-16). Let w(l) = -2*l**3 + 7*l**2 - 3*l. Let h(r) = -3*r**3 + 7*r**2 - 4*r. Determine x*h(u) + 4*w(u). u**3 + 7*u**2 Suppose -4*n + 106 = 49*n. Let h(q) = -1. Let f(r) = r**2 - r + 7. Give n*f(j) + 10*h(j). 2*j**2 - 2*j + 4 Let o(s) = 97*s**2 + 3. Let j(i) = -390*i**2 - 13. Determine -3*j(x) - 13*o(x). -91*x**2 Let s(z) = z**3 + 4*z + 7. Let j be 3/(5/15*3) + 2. Let r(f) = -f**3 - 2*f - 3. Determine j*r(u) + 2*s(u). -3*u**3 - 2*u - 1 Let f(o) be the first derivative of 133*o**3 - 351. Let c(p) = -21*p**2. What is 77*c(x) + 4*f(x)? -21*x**2 Let k(h) = 330*h**3 - 5*h**2 - 5*h - 5. Let q(n) = -166*n**3 + 2*n**2 + 2*n + 2. Give 2*k(r) + 5*q(r). -170*r**3 Let a(s) = -275*s - 18. Let t(v) = 275*v + 15. Calculate -5*a(b) - 6*t(b). -275*b Let g(s) = -247*s**2 - 39*s + 39. Let c(x) = 9*x**2 - 2*x - 4. Let p(n) = 34*n**2 - 10*n - 17. Let v(d) = -9*c(d) + 2*p(d). Calculate -2*g(l) + 39*v(l). -13*l**2 Let s be 20 + (1 + -2)*2. Let w(c) = 8*c + 8. Let v(i) be the third derivative of -i**4/24 - i**3/6 - 8*i**2. What is s*v(y) + 2*w(y)? -2*y - 2 Let h(v) be the first derivative of -v**4/4 - v - 3. Let w(n) be the second derivative of 3*n**5/20 + 3*n**2 - 218*n. Calculate -6*h(z) - w(z). 3*z**3 Let s(m) = -m**3 - m**2 + 1. Let o(b) = 2*b**3 + 5*b**2 - 4. Let u be (1*8/(-12))/((-3)/(-18)). Give u*s(x) - o(x). 2*x**3 - x**2 Let x(y) = -y - 7. Let n(p) = 2*p + 8. Let h = 576 + -582. Calculate h*n(j) - 7*x(j). -5*j + 1 Let w(s) = -137*s - 10. Let v(r) = 411*r + 26. What is 3*v(p) + 8*w(p)? 137*p - 2 Let d = -1914 + 1909. Let n(a) = 9*a. Let k(u)
{ "pile_set_name": "DM Mathematics" }
d derivative of 1733*h**3 - 280 - 2*h + 555 - 134 + 866 + 455 wrt h. 10398*h Let i be 8/5 - (-18)/(-30). Suppose c + i = 5. What is the second derivative of p**4 - 14*p - 11*p**4 - p**c wrt p? -132*p**2 Find the first derivative of -741 - 562*q + 707*q + 4088 - 3244*q wrt q. -3099 Let d(z) be the second derivative of 70*z**4 + 1143*z**3/2 + 11*z + 216. What is the second derivative of d(l) wrt l? 1680 Let w(o) be the first derivative of -10/3*o**3 - 64 - 3/4*o**4 + 63*o + 0*o**2. Find the first derivative of w(s) wrt s. -9*s**2 - 20*s Let c(o) = 4034*o - 2225. Let i(d) = 2017*d - 1106. Let r(u) = 6*c(u) - 11*i(u). Differentiate r(y) with respect to y. 2017 Let b be 5/(20/11) + (-6)/8. What is the third derivative of 2*c + 17*c**3 + 0*c**2 + 4*c**3 - 16*c**b wrt c? 126 What is the second derivative of -19055*s**4 + 19620*s**4 + 8*s - 416 + 4*s**2 - 38 + 69 wrt s? 6780*s**2 + 8 Let y(b) be the second derivative of 5*b**7/42 + 9*b**6/2 - 1453*b**4/12 - 2523*b. Find the third derivative of y(o) wrt o. 300*o**2 + 3240*o Suppose -6 = -3*c, c - 11 + 0 = -3*n. Differentiate 3*q - 15*q**2 + 8*q**2 - 12*q - 3*q**n - 116 + 7*q**2 with respect to q. -9*q**2 - 9 Let u(d) be the second derivative of 6613*d**4/12 + 8367*d**2/2 - 12969*d. Differentiate u(a) wrt a. 13226*a What is the third derivative of -2844*w**3 + 2248*w**2 + 744077*w - 744077*w wrt w? -17064 What is the second derivative of 372*w**5 - 252*w - 159 + 74 - w**4 + 83 - 142*w**5 wrt w? 4600*w**3 - 12*w**2 Find the third derivative of 81*r**6 - 189*r**4 - 79*r**6 - 13 - 27 - 2014*r**2 + 38 wrt r. 240*r**3 - 4536*r Suppose o - 35 = -26. Suppose o = 3*z + 2*d + 3*d, -d = 2*z - 6. What is the derivative of 337*v - 1 - 13*v**z - 337*v wrt v? -39*v**2 Suppose 2*i = -3*s + 63 + 5, 5*s = 0. Suppose -i*k - 15848 = -38*k. What is the derivative of -29*d**3 - 3962*d**2 + k*d**2 + 31 wrt d? -87*d**2 Suppose 17*i = 13*i + 8. Let m be (-3 + i)/(2/(-434)). What is the second derivative of 30*d**5 + 217*d**4 + 47*d - m*d**4 wrt d? 600*d**3 Let w(k) be the first derivative of 698*k**3/3 + 95*k + 1038. What is the first derivative of w(c) wrt c? 1396*c Let s = 29 + -25. Suppose 0 = -s*b + b + 168. Differentiate -10*h - 4*h + 0*h - b + 41 with respect to h. -14 What is the second derivative of -11194*i**4 + 62*i - 175*i**2 + 2*i**5 + 41*i + 11194*i**4 + 13 wrt i? 40*i**3 - 350 Let l(c) be the second derivative of -3793*c**6/30 - c**4/12 + c**3/3 + 31*c**2 + 409*c. What is the third derivative of l(j) wrt j? -91032*j Let i(p) = p**2 + 10*p - 116. Let y be i(7). Find the third derivative of 12*j**3 + 20*j**y + 46 + 4*j**4 + 3*j**3 + 2*j**3 + j**2 - 2*j**3 wrt j. 96*j + 210 Let k(u) be the first derivative of 17*u**7/7 + 9*u**4/2 - 3692*u**3/3 + 361. Find the third derivative of k(z) wrt z. 2040*z**3 + 108 What is the second derivative of -66*u**5 - 3193*u + 87*u**5 + 100*u - 63*u**5 + 15*u**2 wrt u? -840*u**3 + 30 Let u = -375 + 416. Find the third derivative of -168*f**2 - 168*f**2 + u + 134*f**3 + 335*f**2 wrt f. 804 What is the derivative of -65954 + 384*q**2 + 2*q + 33272 + 34449 wrt q? 768*q + 2 Let y(v) be the second derivative of 3*v**8/56 - 407*v**6/30 - 417*v**4/4 - 3174*v. What is the third derivative of y(w) wrt w? 360*w**3 - 9768*w Suppose -2*f + 8 = 4*w, -3*w = -0*f - 3*f - 6. Suppose -12 = -k - f. What is the derivative of -13*h**4 - 5*h**4 + k - h**4 - 1 wrt h? -76*h**3 Let v = 42 + -42. Suppose v = 5*n + s - 17, -3*n + 3*s + 3 = 6*s. What is the second derivative of 2*a - a**4 - 5*a**4 - 4*a + n*a**4 wrt a? -24*a**2 Find the third derivative of -6*v + 362*v**2 - 750*v**2 + 451*v**5 - 1193*v**2 + 7*v wrt v. 27060*v**2 Let n(h) be the second derivative of 4 + 37/2*h**2 - 10/3*h**3 + 15*h. Differentiate n(d) with respect to d. -20 Let c(s) be the second derivative of 28*s**6/3 - s**5/20 - 613*s**4/12 + s**3/3 - 264*s. What is the third derivative of c(j) wrt j? 6720*j - 6 Let a(s) be the third derivative of 869*s**5/20 - s**4/6 - 101*s**3/6 - 21*s**2 - 95. What is the second derivative of a(y) wrt y? 5214 Let t(z) be the first derivative of 157 + 75/2*z**2 + 0*z - 67/3*z**3. What is the second derivative of t(i) wrt i? -134 Let p(n) be the first derivative of 49/6*n**6 + 8/3*n**3 + 0*n**2 + 0*n + 0*n**4 + 0*n**5 + 39. What is the third derivative of p(d) wrt d? 2940*d**2 Let i(k) be the first derivative of -16*k**2 + 71/3*k**3 + 0*k + 24. What is the second derivative of i(q) wrt q? 142 Let k(h) be the third derivative of 377*h**4/24 - 593*h**3/6 + 700*h**2. Differentiate k(c) wrt c. 377 Let c = -398 - -435. Find the second derivative of -1 + 80*n + c*n**2 - 15*n**2 + 77*n**5 - 12*n**2 - 10*n**2 wrt n. 1540*n**3 Let o(r) be the third derivative of r**8/168 + 647*r**7/210 - r**5/60 + 83*r**4/24 + r**3/2 - 166*r**2. What is the third derivative of o(u) wrt u? 120*u**2 + 15528*u What is the second derivative of -213*s**4 + 985*s + 375*s**4 - 2*s**3 - 293*s wrt s? 1944*s**2 - 12*s Let q = 268 - 228. Find the second derivative of 15 - 250*k**3 + 480*k**3 - 15 - q*k wrt k. 1380*k Let f(v) be the second derivative of 79*v**4/6 - 377*v**3 + 23*v - 32. What is the second derivative of f(n) wrt n? 316 Find the third derivative of -8225*r**5 + 199*r**2 - 228*r**2 - r + 5 - 606*r**2 wrt r. -493500*r**2 Let f(y) be the first derivative of -87 + 1/2*y**2 + 35/3*y**3 + 62*y. Differentiate f(z) wrt z. 70*z + 1 Let b(t) = 8573*t**2 - 598*t + 1. Let m(p) = -3430*p**2 + 239*p. Let d(c) = 5*b(c) + 13*m(c). Find the second derivative of d(u) wrt u. -3450 Let g(y) = -y**3 - 2*y**2 - 2*y - 2. Let v be g(-1). Let j be (-169)/(-13)*(1 - v). What is the third derivative of 15*s**2 - 26 - 2*s**5 + j - 5*s**5 wrt s? -420*s**2 Let l(n) = 5*n**3 + 86*n**2 - 5*n - 4347. Let r(g) = 2*g**3 + 42*g**2 - 2*g - 2172. Let t(c) = 6*l(c) - 13*r(c). Find the first derivative of t(v) wrt v. 12*v**2 - 60*v - 4 What is the second derivative of -808*y**3 - 2*y**5 + y**5 - 117*y - 194*y**3 + 0*y**5 - 1 wrt y? -20*y**3 - 6012*y Let k(f) = -2223*f**2 + 9*f + 2737. Let w(c) = 2*c**2 + 3*c - 1. Let p(j) = k(j) - 3*w(j). Differentiate p(s) wrt s. -4458*s What is the third derivative of 975*m**2 - 5865*m**3 - 8534*m**3 - 5473 - 973*m**2 + 0*m + 0*m wrt m? -86394 Suppose -8*k = -68 + 28. Find the second derivative of 2*o**2 + 124*o + k*o**3 - 2*o**3 - 43*o + 2*o**3 wrt o. 30*o + 4 Suppose g + 5*r - 2 = -9, r + 14 = 4*g. What is the third derivative of -8*l - 30*l**g - 2*l**4 + 9*l + 54*l**3 - 2*l - 2*l**2 wrt l? -48*l + 144 Let t(o) = 3*o**3 - 14*o**2 - 12*o + 1. Let y be t(6). Differentiate 47 - 48*f - y*f + 61*f with respect to f. -60 Let c(f) be the second derivative of 134*f**6/5 - 11*f**3/3 - 17*f**2/2 - 1530*f. What is the second derivative of c(j) wrt j? 9648*j**2 Let q(c) = -70*c**2 - 22*c. Let n(z) = -z**2 - 3*z. Let h be (-2)/(12/42) - -6. Let o(v) = h*q(v) + 3*n(v). Find the second derivative of o(l) wrt l. 134 What is the second derivative of -846*o - 2*o**2 - 5129*o**3 - 4*o**5 + 2*o**2 + 5489*o**3 wrt o? -80*o**3 + 2160*o Suppose -4*k + 5*u - 15 = 2, k - 12 = -2*u. What is the third derivative of 7*q**2 - 2*q - 18*q**k + 9*q**2 - 13*q + 28*q**6 wrt q? 3360*q**3 Let u(g) be the third derivative of 0*g - 45 + 1/2*g**3 + 1/120*g**6 + g**2 - 5/24*g**4 - 1/10*g**5. What is the second derivative of u(c) wrt c? 6*c - 12 Let d = -169 - -173. What is the third derivative of -363*n**2 - 11*n**d - 4 + 361*n**2 - 3*n**3 - 2*n**4 wrt n? -312*n - 18 Let t(n) be the third derivative of -691*n**7/105 + 661*n**5/60 - n**4/24 + 20*n**2 - 73*n. What is the third derivative of t(i) wrt i? -33168*i Suppose -3*h = h - 84. What is the third derivative of h*a**4 - a**5 + 25*a**2 - 27*a**2 + 69*a**2 + 30*a**2 wrt a? -60*a**2 + 504*a Let l be (((-455)/(-26))/(-35))/(1/(-11 + 0)). Let c(i) be the first derivative of l*i**2 + 14 + 15*i. Find the first derivative of c(h) wrt h. 11 Let h(l) be the second derivative of -3157*l**4/12 - 16*l**3/3 + 14*l**2 - 5044*l. What is the second derivative of h(m) wrt m? -6314 Suppose 5*z - 47 - 83 = 0. What is the first derivative of -33*r + 5 + 10 - 33*r - z - 80 wrt r? -66 Let k(w) be the first derivative of w**2/2 + 25*w - 37. Let l be k(19). What is the first derivative of 25*y**2 - l*y**3 + 24*y**2 + 2 - 49*y**2 wrt y? -13
{ "pile_set_name": "DM Mathematics" }
t is the value of (-12)/(-174) + 143556/2436 + -77? -18 What is the value of (-5*24/(-10))/(-1) + (4329/(-9))/(-13)? 25 Calculate (-3 - 3830/(-1270)) + 79170/4953. 16 Evaluate (1152/(-2))/(-32) + -30. -12 Calculate (18 - (-84 - -118)) + -14*1. -30 What is (-51)/((-1275)/(-10)) - (-36)/65? 2/13 What is the value of -1*12*18090/44220? -54/11 Calculate (-4080)/1190*(-56)/108. 16/9 Evaluate ((((-10)/(-54))/5)/(3/9))/(32/128). 4/9 Calculate (41211/(-256424))/(9/(-21)*(-14)/(-4)). 3/28 Evaluate 1704/3124 - (-64)/(-440). 2/5 (1 - 0 - 49)*(-3 + 4089/1692) 28 Evaluate (-27)/26*2587/(-2388). 9/8 Calculate 190/456 - 494/156. -11/4 What is the value of ((-40)/(-200))/((-4004)/(-1330) + -3)? 19 Calculate (42 - (-16064)/(-384))/(1/(-132)). -22 (2/(12/105))/((-150)/(-120)) 14 What is 2015/1612*(-124)/10*-2? 31 Calculate (-51 - (-5343)/39) + -26. 60 What is ((-462)/7)/(-3) - -808*(-12)/480? 9/5 Calculate 14/4*-4 + (59/(2242/836) - -104). 112 What is ((-14433)/425 - -25) + -2 + 5 + 6? 1/25 Evaluate (4/(16 + 6 + -16))/((-1940)/(-216) - 9). -36 What is 407/(-8) + (-20468)/9632? -53 What is ((-522)/(-3596))/((-22)/(-682))? 9/2 What is 3 + (-5 - (-36)/8) + 4/(-64)*136? -6 Evaluate (-10)/(-5)*6 + 136 + -194. -46 Calculate 17*30/2805 - (370/(-22) - -3). 14 Calculate (5782/(-735) + 8)/(-1 + -1). -1/15 Calculate (53 + 7888/(-144))/(10/(-225)). 40 What is the value of (((-1)/3)/(12/(-144)))/(91 + -51)? 1/10 (-120)/150 - ((-112)/60 + 2) -14/15 What is 753/3597 - (1 - 70/(-22) - (-6 - -10))? 3/109 What is ((-72)/(-234))/(1430/2535)? 6/11 What is (2/54)/(68210/(-245556))? -2/15 Evaluate (82110/966)/(-4 + 1). -85/3 ((-48)/(-39))/(-4 - (-1914)/429) 8/3 ((-606)/20907)/((-3)/897) 26/3 Evaluate 245/10 + ((-142)/1704)/((-4)/264). 30 What is the value of (-20)/(4*(-119)/136 + (-249)/(-78))? 65 Calculate (-1 - 2/(-6))/(24*(-31)/36828). 33 What is -2*(-14 - (-380)/20 - 12*1)/(-1)? -14 What is the value of (82 - 51 - 53)/(3 - -7*(-3)/6)? 44 (-321)/105 + 3 + (-3 - 17/((-1785)/(-2409))) -26 What is 3164/1568 - (-68)/(-3808)? 2 What is (764/9932)/(6 - 2 - ((-702)/(-20))/9)? 10/13 What is the value of (-10244)/(-260)*-1 - (-6)/(-10)? -40 Calculate 817/779 + -13*(-32)/(-416). 2/41 What is the value of 4*4/6*(-606)/18584*-3? 6/23 Evaluate 1/(-12)*(2088/(-1512) - (6 - 7)). 2/63 Evaluate (539/(-55))/(47/235). -49 Evaluate -5*78/(-104)*(9/3 - -5). 30 Evaluate 6/(-18)*(14625/75 + 123). -106 -17 - (12 - 32) - (-374)/11 37 What is the value of ((336/(-14))/(-24))/(1/5) + 3419/(-689)? 2/53 38/12*3183/20159 1/2 Evaluate (472/24 - 19)*(13/2)/((-1)/(-3)). 13 (1 + -1)/(6/34 - 11788/(-14314)) 0 What is 12/2*2/81*(75/30 + -1)? 2/9 What is 313425/(-6169) + 30/(-155) - (1 + (-8 - -1))? -45 ((-1)/(-2))/((6 - 24726/2460) + (-430)/8815) -5/41 Calculate 3/14 + 17 + (-106337)/6160 + (-2)/(-32). 1/70 What is the value of ((-31960)/(-170) - 189)/(-2 - 162/(-82))? 41 Calculate (-484)/11 - (2 + -1)*(5 + -21 + 6). -34 Evaluate ((-8)/(-16) - (-6)/(-7))*104/(-65). 4/7 Calculate ((-3)/8)/((-910)/52 - -25). -1/20 (258/(-172))/(4 - 4121/1040) -40 What is 1482/5460 + (-7)/280*8? 1/14 Evaluate ((-12)/(-48) + ((-1498)/(-600))/(-7))*597/796. -2/25 Calculate (-38570)/42*3/(-27) + 277/(-7479). 102 Calculate (19171/(-4036) - (-2998)/632)*-6. 3/79 Evaluate (-570)/(-45)*(-2 - -4 - 5). -38 1 + 1 + (-2 - -6) - 264/(-360)*150 116 (-3586)/24200 - (-54)/792 -2/25 (24/4 + -5)/(4988/(-61480) + 3/30) 53 Evaluate (-8 + 2912/392)/(72/28). -2/9 Calculate (-32)/2*278/5004 + 2/(-3). -14/9 Evaluate ((-11)/22)/(406/23548). -29 Calculate 1*(-24)/(1 + 5) + 1029/(-21). -53 Evaluate 17478/(-4855) + (-86)/(-10). 5 What is -155*12/(-40)*(-22)/(-33)? 31 What is (-100)/(-6) + 140/(-630)*72? 2/3 What is ((-137)/(43155/(-270)))/(-5*(-33)/110)? 4/7 Calculate 285*8/(-24) - ((-20)/(-10) + -18). -79 Calculate (-24 + 1638/65 - (-12)/10)/((-2)/(-10)). 12 Evaluate (67/7973)/((-32)/(-1792)). 8/17 What is the value of (-14)/420*-10 - (-170)/3? 57 What is the value of 2/(-1)*1 - 745/298*188/(-10)? 45 What is the value of 4905/5995*(11 + 1)*30/405? 8/11 (-8 + 296/16)/(180/(-240)) -14 What is (-2646)/12348 - 446/140? -17/5 ((-10782)/(-600))/3 - (25 - 21 - -2) -1/100 What is 34/306 - ((-896)/(-1960))/((-54)/(-273))? -11/5 What is 1382/93 + (-600)/3100? 44/3 What is (((-54)/8)/3)/(210/(-1960))? 21 What is the value of ((-4012)/130390)/((-8)/(-130))? -1/2 What is the value of ((-34032)/(-6381))/(48/801)? 89 What is the value of ((-6)/(-1) + -1 + -2)*(-539)/33957? -1/21 (8/((-128)/(-12)))/((-51337)/157960) -30/13 (60/(-48))/((42/(-9072))/(1/(-2))) -135 (-26 - 6800/(-260))/(-2*(4 + -2)) -1/26 What is the value of -5*(-56)/70*(-39)/4134? -2/53 Evaluate (0 + (-7)/21)*(2 - 28). 26/3 What is the value of 117 - (106 - (64 + -27))? 48 What is the value of (-6532)/117990*-27 - (-8)/(-5)? -2/19 ((-122)/(13420/(-825)))/((-60)/(-304)) 38 Calculate (67 + (-5 - 42))*((-10)/(-2) - 285/60). 5 What is the value of -45 + 145/((-8845)/1586)? -71 Calculate (((-2)/4)/((-1255)/10040))/(58/(2 - 1)). 2/29 What is (50 - (-85521)/(-1595)) + 4/(-22)? -19/5 Evaluate 102/9 - 4 - 3 - (-134862)/2223. 65 Evaluate ((-684)/(-28))/((-7899)/18431). -57 Evaluate ((249/747)/(4/6))/((-3)/(-282)). 47 What is 3/((210/45)/((-110)/(-99)))? 5/7 Calculate (-149)/76 + (-1904)/448 - -6. -4/19 Evaluate (814400/(-2550))/509 + (-1)/((-3)/2). 2/51 Evaluate (-82775)/301000 - (-9)/10. 5/8 Calculate 77875/(-8900)*(-2)/28*(-12)/50. -3/20 Evaluate 3/(-63)*((-25 - (-12 - -7) - 50) + 22). 16/7 Evaluate (-108)/(-45)*2533/596*(1 - 2*-2). 51 What is the value of 49*118/(-37583) - (51/(-351))/(10/84)? 16/15 Calculate (-62776)/(-119700) - (-52)/(-117). 2/25 What is (10945/(-153230))/(22/4)? -1/77 Evaluate (44/20)/(-8 - (-312)/40) + 464/42. 1/21 Evaluate (-57)/114 - 13/12*-2. 5/3 What is ((-1421)/882 - 5/90)*((-5)/15 - 0)? 5/9 Evaluate ((-2)/21)/(25500/323085) + 7/6. -1/25 Evaluate -7*3 + ((-29419)/(-260) - 92). 3/20 What is (-18)/10 + 295550/161000? 1/28 What is the value of (7936/(-288) + 37)*75/250? 17/6 What is the value of (1/(-11))/((-11678)/4239114)? 33 Calculate 6/(-126) + (2348/(-24)*6/21 - -5). -23 What is (704/(-152))/(-22) + 27350/950? 29 Calculate -15 - ((-2185)/(-34960) - (2050/32 - 1)). 48 What is -122 - 1*(80/25 + -4 - (-702)/65)? -132 Calculate ((-2002)/(-10))/(-77)*(-30)/(-2). -39 192/(-300)*(-10500)/2400 14/5 Evaluate ((-76)/26 - -2)*225/(-1350) - 366/13. -28 Calculate 1 - (-51 + 462/21 - -80). -50 (-194)/(-4)*27508/(-13754) -97 What is the value of 292/(-7) - 2145/(-3003)? -41 What is the value of (-3)/((-48)/(-14))*1141/7987? -1/8 What is 36/(-3)*(615/(-45) - -17)? -40 What is the value of 2*(25 - 4 - (-4644)/(-216))/((-15)/(-213))? -71/5 What is 452/36 - (-130)/(-234)? 12 (-60 - -48) + ((-46)/200)/(49/(-2548)) -1/25 What is ((-53500)/(-57780))/(120/27)? 5/24 Calculate (-38)/(-1596)*(-20 + 8). -2/7 What is the value of ((-3)/((-252)/16))/((-2015)/(-1209))? 4/35 376392/4680 + -80 + 2/(-5) + 0 1/39 What is (1 + (-22)/14)*(5/12)/(770/(-924))? 2/7 What is (-6)/(-13) + ((-1210)/715)/((-4)/6) + -41? -38 What is the value of 77/(-14) + ((102/(-4))/17 - -4)? -3 Calculate ((-49972)/(-248))/((-1519)/(-196)). 26 Evaluate (-4)/(-15)*-3*51100/17885. -16/7 Calculate (8 + (-7)/1)*1404/(-26). -54 What is (-10 + 2480/217)/((14/4)/7)? 20/7 Calculate ((-3)/(33/5) + -61*1020/114070)/26. -1/26 What is (-4 + 1)/(5790/15440)? -8 What is 288/104 + -3 - 1*(-7220)/247? 29 What is the value of 573/9 - (238/136 - (581/(-84) + 7))? 62 What is the value of (-7600)/53295 - (-34)/187? 2/51 -21 + (46628/2040 - 242/132) 2/85 Evaluate -19 + 565*24/720. -1/6 1/((-6)/(-4))*158466/2401 44 What is (1936/(-1056) + 102/12 + -8)*6/76? -2/19 What is the value of 20/24 - ((-74)/(-1332) + 320/342)? -3/19 Evaluate (0 + -176)*((-3720)/660 - -6). -64 Evaluate (-8322)/114*4*(-4)/(-16). -73 (1701/729*(-10)/14)/(2/12) -10 Evaluate (-67056119)/(-3520445) + 6/(-255) - 57/3. 2/83 Evaluate (-4*(85/(-30))/17)/(2040/108 + -19). -6 What is the value of ((-40975)/330)/(-149)*(135/100)/(-3)? -3/8 Calculate (5104/(-1144))/(160/520). -29/2 What is the value of ((-1038)/(-270) + -4)/(16023/(-1962))? 2/105 20444/2421*(-2)/(-19) 8/9 What is 539/(-98)*(-1)/((-88)/(-12)) + 5/(-10)? 1/4 120/(-9)*(31 + 1639/(-55)) -16 What is the value of -628 + 614 - (4 - 4)? -14 What
{ "pile_set_name": "DM Mathematics" }
1 = 3*d + f, -f - i = 5*d for d. 0 Suppose -27*w - 60 = -32*w. Solve -w = -m - 3*z, -3*m = z - 6*z + 34 for m. -3 Let j(v) = 2*v**2 - 3*v. Let r be j(2). Let c(l) = -l**3 + 3*l**2 - 2. Let o be c(r). Solve 5*b - 17 = -o*f, 4*f + 3 + 3 = -2*b for b. 5 Suppose 10 = -3*b - 50. Let f = b + 23. Suppose 0 = 6*j - f*j - 3. Solve -5*h + j + 16 = 4*z, 3*h - 18 = -5*z for z. 3 Suppose -3*s + 2*v = -52, -2*s + 2*v + 48 = 4*v. Solve -4*i = 5*z + s, -i + 6*i + 25 = -3*z for z. 0 Suppose 3*g + 3*h = 165, -g = -0*g + 4*h - 58. Suppose 4*o + 3*z = -g, 0*o - 5*z = 4*o + 58. Let u be 4/o*-1*9. Solve t = u*t + 8, 0 = 5*k + 2*t + 23 for k. -3 Let t(w) = 6*w**2 + w - 1. Let l be t(1). Let j = 13 - l. Let a(z) = z**2 - 7*z + 4. Let b be a(j). Solve -31 = -5*c - 3*u, 7*u = -b*c + 3*u + 28 for c. 5 Suppose 0 = -2*y + 7 - 3. Suppose 2*x = -0*x + 6, 2*h - 14 = -y*x. Solve 4*l = -5*v + 17, h*l - v - 9 - 2 = 0 for l. 3 Suppose 5*k = -5*d - 5, -7 - 22 = -3*k + 5*d. Suppose -2*y - 2*y = -140. Let s = 37 - y. Solve 3*h + k*l - 21 - 6 = 0, -3*h + 23 = s*l for h. 5 Let p(b) = -9*b**2 - 30*b - 5. Let s be p(-3). Solve -2*v = 5*u - 2 - s, -8 = v - 3*u for v. -2 Let q(w) = -5*w - 11. Let c be q(-7). Let t = -24 + c. Solve d - 2*d - 5 = 5*o, 2*d - 3*o + 10 = t for d. -5 Let w(q) = -4*q + 12. Let x be w(7). Let k = x + 28. Let p be (-39)/(-9) - 2/6. Solve -4*s - 11 = 4*u + 5, 0 = -p*s - 2*u - k for s. -2 Let u be ((-44)/(-12) + -3)*(-90)/(-4). Solve 0 = -5*s + 4*p + 20, -s + 4*s + u = -3*p for s. 0 Suppose s + 3*s = 8. Solve -s*m + 4 = -2*x - 2*x, 5*x + 10 = 0 for m. -2 Let t be 1*14*(3 + -2). Suppose m - 28 = -6*m. Suppose 16 = 4*l - 3*x, -l + 3*x = 2*x - m. Solve 0 = -l*d + d + 5*k - 21, -d + 4*k = t for d. -2 Let r = 573 - 570. Solve 3*w + r*u = 15, 7 - 32 = -w - 5*u for w. 0 Let m be -4 - 1*(0 - 8). Solve -12 = t - m*w, 2*t - 16 = t - 3*w for t. 4 Let b = -809 - -814. Solve -2*j = -3*n + b - 22, 17 = 5*j + n for j. 4 Let q = -98 + 37. Let m = q + 34. Let w = m - -27. Solve 4*y + 2*v + 18 = w, -v - 2*v = 15 for y. -2 Let h(t) = -40*t - 278. Let r be h(-7). Solve -2*p - l - r*l = 20, 5*p = 2*l - 12 for p. -4 Let v = -15 + 9. Let d be 4 + (v/2 - -4). Let a = -2 + d. Solve g - 6 = 5*q - a*g, 0 = q + 3*g - 14 for q. 2 Let b(l) = -l**3 - 5*l**2 + 7*l + 9. Suppose -10 = 3*f + 8. Let u be b(f). Suppose -u = -p + 1. Solve p*z - 3*t = t + 8, -2*z = 3*t + 21 for z. -3 Let o(y) = -y**2 - 9*y - 15. Let c be o(-6). Suppose 4 = c*u - 2. Solve 0 = 3*f - 4*b + 26, 4*f = u*b + b - 23 for f. -2 Let p(h) = -h**3 - h**2 + h - 3. Let o be p(0). Let m = o + 6. Suppose 6 = m*f + 3*x - 4*x, 10 = 5*f + 5*x. Solve 3*q + 21 = -3*b, -b - f*b = 2*q + 18 for b. -4 Let u(y) = -6*y - 3. Let f be u(-1). Suppose 41 = -f*z + 47. Solve -4*l - 5 = -5*s, s + z*s = 2*l + 1 for s. -3 Let l(r) = -r**2 - 18*r - 30. Let g be l(-20). Let i be 6/(-33) + g/(-22). Solve 4*m - 3*n = 2*m + 11, -2*m - 5*n + i = 0 for m. 4 Let g = 8 - 3. Let p(w) = -267*w - 530. Let y be p(-2). Solve 0 = n + g*u + 2, -y*u = -n - n - 4 for n. -2 Let w = 5 - -15. Suppose 4*h = 12 + w. Solve n - j = -2*j, n + h = j for n. -4 Suppose 4 = -4*y + 12. Let w be 4*y/(-16) - 102/(-4). Solve 3*h - o = 3*o + 23, w = -5*o for h. 1 Suppose -v + 2*v = 0. Let u = v + 0. Suppose -3*m = 2*y - 14, -m - m + 5*y + 3 = u. Solve 3*b = -b - m*c - 4, 3*b = -4*c - 6 for b. 2 Let u be (-47 + 80)*(-1)/(3*-1). Solve 0 = 3*q - 2*r - u, 3*r + 9 + 7 = 4*q for q. 1 Let w(l) = 2*l**2 - 30*l + 64. Let t be w(13). Solve -z = 4*x + 3 - t, -15 = 5*z for x. 3 Let r(l) = 13*l - 37. Let h(d) = 4*d - 12. Let x(u) = 7*h(u) - 2*r(u). Let n be x(6). Solve 0 = 3*m + 2*m - n*p + 31, -4*m + p = 23 for m. -5 Let c = 219 + -200. Solve n - 5*a = -c, 6*a - a = -4*n + 24 for n. 1 Let t(k) = 3*k**2 - 4*k**2 - k**3 - 1 + 2. Let y be t(-1). Let j(c) = -c**2 - 20*c - 46. Let q be j(-17). Solve w + y = -3*m, -w + 4*m = q + 3 for w. -4 Let h be (-4 - -2)*-2 + 0/6. Let c = -1 - -1. Solve -4*l = -8, c = 2*r + h*l + l - 2 for r. -4 Suppose -3*d - 3*x + 4 = -20, 2*d = 2*x + 12. Solve 3*g + 2 = -13, 4*r - 3*g - d = 0 for r. -2 Let z = 11 - 12. Let b = z + 3. Solve -9 = 2*i + 3*j, -i - 2 = -b*i + 5*j for i. -3 Suppose t = 4*b - 30, -40 - 5 = -5*b + 5*t. Solve -r - 5 + b = 3*h, 0 = 2*h + 2*r + 4 for h. 2 Suppose -5*y + 3*n = 57, 3*y + 2*n = 2*y - 14. Let v(m) = -m**2 - 16*m - 27. Let d be v(y). Solve 0 = 2*i + 3*z - 16, -i - 2*i - 3*z = -d for i. 5 Let o = -76 + 78. Let h(s) = -s - 6. Let u be h(-11). Solve -o*i - k + 7 = 2*i, -k = u*i - 9 for i. 2 Let s(k) = 2*k + 20. Let a be s(0). Let v = 49 - a. Solve -v = -l + w - 6*w, -2*l = 5*w - 33 for l. 4 Let z = 445 + -173. Suppose 4*y = 4*f + z, f - 282 = -4*y + 3*f. Let o = y - 48. Solve 6*u = u - 5*b + o, -u = 5*b - 21 for u. 1 Suppose 0*y - 112 = -16*y. Solve 5*j = 4*o - 0*o - 22, 5*j + o = -y for j. -2 Let s = -34 + 34. Let m be -2*(-37)/2*1. Let v = -25 + m. Solve o + 2*i = 4, -3*o + 4*i + v = -s*o for o. 4 Suppose s = -s - 4*y + 42, 53 = 3*s + 4*y. Suppose -a - 9 = -4*a + q, -4*a + q = -s. Solve 3*c = a*m + 25, 3*c = c - 5*m - 15 for c. 5 Suppose -6*a + 2*a = -a. Solve 3*j + 4*p + 0 - 7 = a, 0 = -4*j + 2*p - 20 for j. -3 Let r be (-6)/15 + (-1)/((-15)/936). Let x = r + -56. Solve -5*o + 3 + 7 = 5*l, o = l + x for o. 4 Suppose -27 = -5*a - 2. Solve r = -5*x + a, -x + 4 = 3*x for r. 0 Let y(n) = 3*n**3 - 3*n**2 + n + 1. Let i be y(1). Solve 0*a = -2*d - 2*a + 6, 5*a = -i*d for d. 5 Let j be (5 - 5)/(-3 + (0 - -1)). Solve -f + 4*a = 9*a, j = 5*a for f. 0 Let w = -354 - -357. Solve w*b = -3*t + 21, 4*b - 6 = t + 7 for t. 3 Let n(c) = c**2 + 9*c - 13. Let s be n(-11). Suppose -2*r + 5*r - s = 0. Solve 6 = -2*q, r*y + 0*y = 2*q - 6 for y. -4 Suppose 15 = -0*k - 5*k. Let o(b) = -b**3 - 4*b**2 - 4*b. Let l be o(k). Suppose 2*i = -i. Solve 5*u = 4*r, u + l*r = -i*u for u. 0 Suppose -l + 3*v - 95 = l, v - 49 = l. Let z = -32 - l. Solve 0*t + 7 = t + 3*b, 0 = -5*b + z for t. -5 Suppose u = 2*a + 9, 4*a + 6*u - 12 = 2*u. Let p be a/11 - 490/(-154). Solve -i + k - p*k = 2, -3*k = 0 for i. -2 Let w be (-5)/(5/(-3)) + 2. Suppose w - 14 = -3*y. Suppose -s + 2 = y*s + 2*u, -2*s + u = -11. Solve 2*l - s = 3*c + 1, 0 = -l - 2*c - 5 for l. -1 Let y(f) = -f**3 + 16*f - 2*f - 25 + 13*f + 28*f**2 + 3*f. Let n be y(29). Solve -i - 3*i + 3*m = -9, n*i + m + 3 = 0 for i. 0 Let d = -2 - -6. Suppose -2*p - 24 = 5*k, k + 9 = d*p + 57. Let u be (-126)/p + 1/2. Solve a = -0*w + 2*w + u, w = -5*a + 22 for w. -3 Suppose -32 = -5*i + 4*g, 3*g = -5*i - 3 + 14. Suppose 2*l = 2*n - 14, i*l - 33 = -3*n + l. Solve 3*a + 12 = -4*f, 3*f - 3*a + n = -6*a for f. -3 Suppose 46 = 3*g + g + 3*z, -z + 12 = g. Suppose -g*d = -17*d + 14. Solve s + 6*c - d*c - 2 = 0, 4*s - 4*c - 8 = 0 for s. 2 Let v(z) = z**3 + 2*z**2 - 5*z + 3. Let u be v(2). Suppose 2*j = -5 + u. Solve -j*o - 4*a + 4 = 0, -4*o = a + 2*a + 2 for o. -2 Let u be (9/(-2))/3*80/(-300)*25. Suppose k = 3*z + 2, -2*k = -6*k + z + 8. Solve k*f + r + r = u, f = 5*r - 1 for f. 4 Suppose 7*f = -61*f + 136. Solve -3*t + 14 = h - 3, -2*h - f*t = -14 for h. 2 Suppose 2*w = -4*i + 6, -2*w + 10*i = 13*i - 6. Solve -2*p - p - 6 = w*j, -3*j - 2*p = 5 for j. -1 Suppose 0 = 5*t - 2*k - 14, 2*t = k - 6*k + 23. Let o(p) = p - 6. Let h be 5 - (-2 - (0 - 0)). Let z be o(h). Solve z = t*m + r - 4, -5*r = -3*m + 21 for m. 2 Suppose 0 = -4*n + 20, 2*n - 14 = 4*w - 5*w. Solve -3*q = -2*j - w*q, 0 = 2*j - 5*q for j. 0 Let a(h) = -2*h + 2*h - 13*h**3 - h**2 + 2*h**2. Let t be a(-1). Suppose 0*n + 2*n = t. Solve 5*l = x - 25, 3*x = 3*l + 4*x + n for l. -4 Suppose 3*x = 2*v + 15, 9*v + 4*x - 20 = 12*v. Solve -3*j = 2*d, 0 = -3*d + j - v*j for d. 0 Let a be 3 - (-3 - -4) - 2. Suppose -8*z - 20 + 52 = a. Let f(p) = -p - 6. Let m be f(-6). Solve 3*c - 3*g = m, -5*c - z*g + 26 = -19 for c. 5 Let g(t) = t**2 + 4*t - 10. Let l be g(2). Solve -5*q = l*h, 0*h - h - 5 = 5*q for q. -2 Suppose 120*z - 138*z + 90 = 0. Solve -3*l + 3 = -g - 12, 3*g - 11 = -z*l for g. -3 Let s = -133 - -133. Let u be (-12)/(-2)*(-2)/(-3). Suppose s = m - u*m. Solve 2*i - 4*x - 16 + 2 = m, i = -5*x for i. 5 Let u be ((-9)/(-18))/(2/8). Suppose 15 = 5*j - n, u*n = -j - 2*n - 18. Solve 5*w - 1 - 31 = -4*k, -4*w - j*k = -22 for w. 4 Let g be -3*(-4)/16 - (-10)/8. Solve 3*k = 5*h + 16, 2 = g*h - 0*k
{ "pile_set_name": "DM Mathematics" }
84.4674102 rounded to the nearest ten? -180 Round -1.2146494 to 2 decimal places. -1.21 Round -726388.829 to the nearest one hundred. -726400 Round 127622308.1 to the nearest 1000000. 128000000 Round 190767.005 to the nearest 100. 190800 What is 77241.091 rounded to the nearest ten? 77240 Round -1381104.26 to the nearest one hundred thousand. -1400000 Round -536788.3 to the nearest one thousand. -537000 What is 247.29784 rounded to the nearest integer? 247 Round 80085330 to the nearest 1000000. 80000000 Round 0.00000155492163 to 7 dps. 0.0000016 What is 0.000104379284 rounded to 4 decimal places? 0.0001 Round -0.002479285143 to five decimal places. -0.00248 Round -1781565.479 to the nearest one hundred thousand. -1800000 What is -30427.81844 rounded to the nearest integer? -30428 What is 35785710.61 rounded to the nearest one hundred thousand? 35800000 Round 2545722.16 to the nearest 100. 2545700 Round 19968228.4 to the nearest 10000. 19970000 Round 62726.4796 to the nearest ten. 62730 What is 83858.257 rounded to the nearest 10? 83860 What is 0.1208273217 rounded to two decimal places? 0.12 What is 780.926542 rounded to the nearest 100? 800 What is 185618.996 rounded to the nearest one thousand? 186000 Round -0.000437521236 to 7 dps. -0.0004375 Round -0.29505224 to three decimal places. -0.295 What is -11038679.67 rounded to the nearest one thousand? -11039000 What is 0.678738 rounded to two dps? 0.68 Round 151229964440 to the nearest 1000000. 151230000000 What is -1459472.529 rounded to the nearest 100? -1459500 What is 197825.476 rounded to the nearest ten thousand? 200000 Round 9584.70514 to the nearest 10. 9580 What is 26390.1623 rounded to the nearest 100? 26400 What is 1327.754125 rounded to the nearest one hundred? 1300 Round -117.78687392 to one dp. -117.8 Round 562.634188 to 1 decimal place. 562.6 What is 1368.810827 rounded to the nearest 100? 1400 Round -50983.3579 to the nearest integer. -50983 What is 0.002628320829 rounded to seven dps? 0.0026283 Round 278286981 to the nearest 1000000. 278000000 Round -5062128.79 to the nearest 1000. -5062000 What is -26416781930 rounded to the nearest 1000000? -26417000000 What is 0.0820439244 rounded to 2 dps? 0.08 What is -2355676729.3 rounded to the nearest 100000? -2355700000 Round 8435.8944 to the nearest 10000. 10000 What is -543440.6008 rounded to the nearest one hundred thousand? -500000 What is 4931734.21 rounded to the nearest 1000? 4932000 What is 44936.7248 rounded to the nearest 10000? 40000 What is 0.92499846 rounded to 4 dps? 0.925 Round -45692834.7 to the nearest ten thousand. -45690000 What is -659005.33 rounded to the nearest 100? -659000 What is 721.625478 rounded to 0 dps? 722 Round -2601995.825 to the nearest one hundred thousand. -2600000 What is 100931.6923 rounded to the nearest ten? 100930 What is -0.0052008161 rounded to 4 dps? -0.0052 Round -1.869931872 to three decimal places. -1.87 What is -0.36290117 rounded to 3 decimal places? -0.363 What is 0.000342384055 rounded to four decimal places? 0.0003 Round -0.01538003452 to 2 decimal places. -0.02 Round 11052551.69 to the nearest 1000. 11053000 Round -2026822990 to the nearest 100000. -2026800000 Round 1379272840 to the nearest one hundred thousand. 1379300000 What is -0.03065474 rounded to the nearest integer? 0 What is -53556233.09 rounded to the nearest 10000? -53560000 Round 0.00078765662 to 7 decimal places. 0.0007877 Round 251.21604 to the nearest 10. 250 Round -609.136913 to the nearest 1000. -1000 What is -11022.194 rounded to the nearest one hundred? -11000 What is 6342707.965 rounded to the nearest 1000000? 6000000 What is 0.00000060842619 rounded to 7 decimal places? 0.0000006 What is -0.039423083 rounded to four dps? -0.0394 Round 0.000040243506 to 6 decimal places. 0.00004 Round 1342.97663 to one dp. 1343 What is -0.842111317 rounded to 1 decimal place? -0.8 Round -4.98657154 to two decimal places. -4.99 What is 423689763.5 rounded to the nearest 10000? 423690000 What is -628180140 rounded to the nearest 1000000? -628000000 Round 2432697866 to the nearest 1000000. 2433000000 What is -32251.3364 rounded to the nearest one hundred? -32300 Round 3348797.474 to the nearest 10000. 3350000 Round -1.1442348 to 2 dps. -1.14 Round -67959561 to the nearest 100000. -68000000 Round -0.223065118 to two dps. -0.22 Round -127917550 to the nearest ten thousand. -127920000 What is -121.2746475 rounded to the nearest ten? -120 Round -0.00000216361171 to 7 dps. -0.0000022 Round 0.267904382 to 1 decimal place. 0.3 What is -0.019331553 rounded to 5 decimal places? -0.01933 Round -0.00711035097 to five dps. -0.00711 Round -1.588863638 to two dps. -1.59 What is -37.700907 rounded to the nearest integer? -38 Round 88035.916 to the nearest 10000. 90000 What is 201.12134 rounded to 1 decimal place? 201.1 Round -37.0823829 to the nearest 10. -40 What is -0.82069742 rounded to three decimal places? -0.821 Round -380798140 to the nearest one million. -381000000 Round -2.252735567 to zero decimal places. -2 Round 0.02006913817 to six decimal places. 0.020069 Round 0.0000222336517 to 5 decimal places. 0.00002 Round -195365.186 to the nearest one thousand. -195000 Round 4.243066691 to 1 dp. 4.2 What is -0.0000499475 rounded to five dps? -0.00005 Round 0.00060977796 to six decimal places. 0.00061 Round -2.5764789 to 3 decimal places. -2.576 What is -10299.46646 rounded to zero dps? -10299 Round -0.00024669579 to 7 dps. -0.0002467 Round 0.0000000095459693 to seven dps. 0 Round 0.003085531497 to 6 dps. 0.003086 What is 63424539.88 rounded to the nearest 1000000? 63000000 What is -0.00041903918 rounded to 5 decimal places? -0.00042 Round 7334456650 to the nearest one hundred thousand. 7334500000 What is 8.45321336 rounded to the nearest integer? 8 What is -0.0000451162083 rounded to four decimal places? 0 What is -426468223.3 rounded to the nearest ten thousand? -426470000 What is 24.96882205 rounded to zero dps? 25 What is -0.0000629695765 rounded to five dps? -0.00006 Round 107.521111 to one dp. 107.5 Round 642676727 to the nearest one hundred thousand. 642700000 Round 15076104 to the nearest one million. 15000000 Round 0.000491534451 to 6 decimal places. 0.000492 Round -0.544946102 to three decimal places. -0.545 Round -4552206.07 to the nearest 1000000. -5000000 Round -365.5885 to one dp. -365.6 Round -0.21649484308 to four dps. -0.2165 Round -0.0042035407 to 4 decimal places. -0.0042 What is -0.0000156808232 rounded to six decimal places? -0.000016 Round 12367525.468 to the nearest ten thousand. 12370000 What is 0.0118114913 rounded to 4 decimal places? 0.0118 Round -34.822695 to the nearest 10. -30 What is 580881.28 rounded to the nearest 10000? 580000 What is -260174.99 rounded to the nearest ten thousand? -260000 Round 17206573500 to the nearest 1000000. 17207000000 What is -0.341121784 rounded to 2 dps? -0.34 What is -0.0000143333184 rounded to 6 dps? -0.000014 What is -0.000057811048 rounded to 5 dps? -0.00006 Round -205.53922 to zero decimal places. -206 What is -334341820 rounded to the nearest 10000? -334340000 What is 93252548.69 rounded to the nearest one hundred thousand? 93300000 Round -3716.0506 to the nearest ten. -3720 Round 7905.4016 to the nearest 10. 7910 Round 9.476099902 to 2 dps. 9.48 What is -0.00062846411 rounded to 7 decimal places? -0.0006285 Round -4316326701 to the nearest one million. -4316000000 What is -561.51064 rounded to the nearest one hundred? -600 Round 9920332900 to the nearest 1000000. 9920000000 Round -0.00049198582 to 7 dps. -0.000492 What is -9082.1812 rounded to the nearest 1000? -9000 Round -9.7585281 to two decimal places. -9.76 What is 2.73216037 rounded to 1 dp? 2.7 Round -0.0179930801 to 5 decimal places. -0.01799 Round 0.029271358 to 4 decimal places. 0.0293 What is 96641181 rounded to the nearest ten thousand? 96640000 What is -3131093.624 rounded to the nearest 100000? -3100000 Round -0.0000007662761 to 7 decimal places. -0.0000008 What is 33413302.78 rounded to the nearest 1000000? 33000000 What is -0.04503279132 rounded to four decimal places? -0.045 Round -65260974.9 to the nearest 10000. -65260000 Round -215.3175904 to the nearest ten. -220 Round -8843501 to the nearest 1000. -8
{ "pile_set_name": "DM Mathematics" }
+ 1 What is the d'th term of 1387, 6054, 14005, 25240, 39759, 57562, 78649? 1642*d**2 - 259*d + 4 What is the l'th term of 19058250, 38116485, 57174720, 76232955? 19058235*l + 15 What is the b'th term of -6471216, -6471237, -6471258, -6471279, -6471300? -21*b - 6471195 What is the n'th term of -1, -3316, -8835, -16552, -26461, -38556? n**3 - 1108*n**2 + 2*n + 1104 What is the f'th term of 112310, 112321, 112336, 112355? 2*f**2 + 5*f + 112303 What is the q'th term of -27104, -25528, -22900, -19220, -14488? 526*q**2 - 2*q - 27628 What is the s'th term of -953641, -1907282, -2860923, -3814564? -953641*s What is the x'th term of -63199555, -126399103, -189598651, -252798199, -315997747, -379197295? -63199548*x - 7 What is the i'th term of 3272, 6474, 9678, 12884, 16092, 19302? i**2 + 3199*i + 72 What is the z'th term of -434091, -868183, -1302273, -1736361, -2170447, -2604531, -3038613? z**2 - 434095*z + 3 What is the l'th term of -11316, -45807, -103292, -183771, -287244, -413711? -11497*l**2 + 181 What is the z'th term of 721609, 721542, 721475? -67*z + 721676 What is the b'th term of -3969, -3961, -3937, -3891, -3817, -3709? b**3 + 2*b**2 - 5*b - 3967 What is the k'th term of 3792801, 3792798, 3792795? -3*k + 3792804 What is the v'th term of 420212, 840789, 1261366, 1681943? 420577*v - 365 What is the d'th term of -10280, -82553, -278726, -660749, -1290572, -2230145? -10325*d**3 + 2*d + 43 What is the z'th term of 223878656, 223878657, 223878658? z + 223878655 What is the i'th term of -69501440, -69501442, -69501446, -69501452, -69501460, -69501470? -i**2 + i - 69501440 What is the q'th term of 707, 3034, 6973, 12524? 806*q**2 - 91*q - 8 What is the g'th term of -446, -1697, -3814, -6809, -10694? -2*g**3 - 421*g**2 + 26*g - 49 What is the s'th term of 7111, 7535, 7959, 8383, 8807, 9231? 424*s + 6687 What is the k'th term of 47076, 91907, 136738? 44831*k + 2245 What is the x'th term of 42158, 84353, 126548, 168743, 210938, 253133? 42195*x - 37 What is the t'th term of -102875, -205706, -308523, -411326, -514115, -616890? 7*t**2 - 102852*t - 30 What is the c'th term of 4100, 26669, 87924, 207209, 403868, 697245, 1106684? 3224*c**3 - c**2 + 4*c + 873 What is the y'th term of 98226, 99068, 99912, 100758, 101606? y**2 + 839*y + 97386 What is the k'th term of -3835712, -7671473, -11507234, -15342995? -3835761*k + 49 What is the d'th term of 574, 347, -138, -971, -2242, -4041, -6458, -9583? -15*d**3 - 39*d**2 - 5*d + 633 What is the t'th term of -343503, -343515, -343525, -343533? t**2 - 15*t - 343489 What is the d'th term of 99331, 100330, 101329, 102328, 103327? 999*d + 98332 What is the h'th term of -32019, -61207, -90395, -119583? -29188*h - 2831 What is the r'th term of -5311, -10539, -15699, -20785, -25791, -30711? r**3 + 28*r**2 - 5319*r - 21 What is the v'th term of 104, 282, 458, 602, 684? -5*v**3 + 29*v**2 + 126*v - 46 What is the m'th term of -58482759, -58482762, -58482767, -58482774, -58482783, -58482794? -m**2 - 58482758 What is the h'th term of -68596, -137239, -205878, -274513, -343144, -411771, -480394? 2*h**2 - 68649*h + 51 What is the b'th term of -1728554, -1728010, -1727104, -1725836, -1724206, -1722214? 181*b**2 + b - 1728736 What is the g'th term of -97770, -97753, -97716, -97653, -97558, -97425, -97248? g**3 + 4*g**2 - 2*g - 97773 What is the h'th term of -11407, -11958, -12509, -13060? -551*h - 10856 What is the o'th term of -4629084, -9258156, -13887230, -18516306, -23145384, -27774464, -32403546? -o**2 - 4629069*o - 14 What is the x'th term of -32921, -33215, -33705, -34391? -98*x**2 - 32823 What is the q'th term of -278228, -276606, -274982, -273356? q**2 + 1619*q - 279848 What is the t'th term of 1081356, 1081274, 1081192, 1081110, 1081028? -82*t + 1081438 What is the h'th term of 4880426, 4880357, 4880290, 4880225, 4880162, 4880101? h**2 - 72*h + 4880497 What is the x'th term of -5977, -7627, -10371, -14209? -547*x**2 - 9*x - 5421 What is the i'th term of 6935, 7178, 7549, 8042, 8651, 9370? -i**3 + 70*i**2 + 40*i + 6826 What is the d'th term of -7579492, -15158985, -22738482, -30317983, -37897488? -2*d**2 - 7579487*d - 3 What is the o'th term of -1624936, -1624947, -1624966, -1624993, -1625028? -4*o**2 + o - 1624933 What is the u'th term of 86655, 86514, 86277, 85944, 85515, 84990? -48*u**2 + 3*u + 86700 What is the q'th term of 483613, 483611, 483609, 483607, 483605? -2*q + 483615 What is the z'th term of 11094568, 11094581, 11094606, 11094649, 11094716, 11094813? z**3 + 6*z + 11094561 What is the b'th term of 2984, 2963, 2892, 2771, 2600, 2379? -25*b**2 + 54*b + 2955 What is the b'th term of -106, 390, 1322, 2774, 4830? 14*b**3 + 134*b**2 - 4*b - 250 What is the h'th term of -222, -91, 386, 1215, 2402, 3953, 5874, 8171? h**3 + 167*h**2 - 377*h - 13 What is the l'th term of -281160, -281217, -281274, -281331, -281388? -57*l - 281103 What is the s'th term of -5112492, -10224993, -15337494? -5112501*s + 9 What is the c'th term of 27673053, 110692198, 249057439, 442768776, 691826209, 996229738, 1355979363? 27673048*c**2 + c + 4 What is the w'th term of 2022366, 4044729, 6067092? 2022363*w + 3 What is the c'th term of 71540, 141369, 211198, 281027? 69829*c + 1711 What is the d'th term of 89632, 179258, 268882, 358504, 448124, 537742? -d**2 + 89629*d + 4 What is the o'th term of 8433, 16743, 24751, 32307, 39261, 45463, 50763, 55011? -25*o**3 - o**2 + 8488*o - 29 What is the z'th term of 76272, 76270, 76268? -2*z + 76274 What is the y'th term of -82, -403, -984, -1831, -2950, -4347, -6028, -7999? -y**3 - 124*y**2 + 58*y - 15 What is the w'th term of -113, -556, -2573, -6950, -14473, -25928, -42101? -131*w**3 - w**2 + 477*w - 458 What is the r'th term of 7, -132, -555, -1262, -2253, -3528? -142*r**2 + 287*r - 138 What is the b'th term of 269705, 539503, 809299, 1079093, 1348885, 1618675, 1888463? -b**2 + 269801*b - 95 What is the v'th term of -171959177, -343918354, -515877531, -687836708? -171959177*v What is the l'th term of -6370, 1057, 13444, 30797, 53122, 80425, 112712, 149989? l**3 + 2474*l**2 - 2*l - 8843 What is the j'th term of 4404059, 4404106, 4404153, 4404200, 4404247, 4404294? 47*j + 4404012 What is the q'th term of 9537, 6962, 4387? -2575*q + 12112 What is the j'th term of 184919519, 739678072, 1664275661, 2958712286, 4622987947? 184919518*j**2 - j + 2 What is the r'th term of -54199, -107602, -161005? -53403*r - 796 What is the d'th term of -5201, -4066, -2917, -1748, -553, 674, 1939? d**3 + d**2 + 1125*d - 6328 What is the u'th term of -14592290, -29184598, -43776906, -58369214, -72961522? -14592308*u + 18 What is the f'th term of 310219, 620098, 929989, 1239898, 1549831, 1859794? f**3 + 309872*f + 346 What is the u'th term of -13158, -13118, -13054, -12966, -12854? 12*u**2 + 4*u - 13174 What is the x'th term of 2145, -2301, -9707, -20073? -1480*x**2 - 6*x + 3631 What is the j'th term of 14128, 19254, 24380, 29506, 34632, 39758? 5126*j + 9002 What is the z'th term of 958482, 958481, 958480? -z + 958483 What is the f'th term of -69570, -71506, -73442? -1936*f - 67634 What is the o'th term of -5327, -15163, -25009, -34871, -44755, -54667, -64613, -74599? -o**3 + o**2 - 9832*o + 4505 What is the r'th term of 31254, 127527, 287988, 512643, 801498, 1154559? r**3 + 32088*r**2 + 2*r - 837 What is the n'th term of 46611, 93465, 140319, 187173, 234027? 46854*n - 243 What is the m'th term of 2031, 2881, 3737, 4599, 5467, 6341, 7221? 3*m**2 + 841*m + 1187 What is the b'th term of -1670, -3256, -4858, -6482, -8134, -9820, -11546, -13318? -b**3 - 2*b**2 - 1573*b - 94 What is the f'th term of 16335, 16282, 16183, 16032, 15823, 15550, 15207, 14788? -f**3 - 17*f**2 + 5*f + 16348 What is the y'th term of 357976, 715115, 1072254, 1429393, 1786532, 2143671? 357139*y + 837 What is the p'th term of -3961, -15486, -34579, -61240, -95469, -137266, -186631? -3784*p**2 - 173*p - 4 What is the v'th term of -88057, -703725, -2374827, -5629081, -10994205? -87953*v**3 + v**2 - 105 What is the b'th term of 157421063, 314842133, 472263203, 629684273? 157421070*b - 7 What is the r'th term of 700790, 1401595, 2102416, 2803253, 3504106, 4204975? 8*r**2 + 700781*r + 1 What is the s'th term of 23, -366, -1137, -2266, -3729, -5502, -7561? 4*s
{ "pile_set_name": "DM Mathematics" }
ate the remainder when 124 is divided by 29. 8 Calculate the remainder when 253 is divided by 83. 4 What is the remainder when 140 is divided by 55? 30 Calculate the remainder when 874 is divided by 432. 10 What is the remainder when 357 is divided by 87? 9 What is the remainder when 546 is divided by 64? 34 What is the remainder when 183 is divided by 9? 3 What is the remainder when 2342 is divided by 1168? 6 Calculate the remainder when 3702 is divided by 41. 12 What is the remainder when 1847 is divided by 1823? 24 What is the remainder when 61 is divided by 8? 5 Calculate the remainder when 1131 is divided by 80. 11 What is the remainder when 24 is divided by 16? 8 What is the remainder when 163 is divided by 34? 27 What is the remainder when 107 is divided by 33? 8 Calculate the remainder when 480 is divided by 94. 10 What is the remainder when 541 is divided by 256? 29 What is the remainder when 922 is divided by 133? 124 What is the remainder when 321 is divided by 3? 0 What is the remainder when 451 is divided by 57? 52 Calculate the remainder when 330 is divided by 82. 2 Calculate the remainder when 3938 is divided by 39. 38 What is the remainder when 34 is divided by 12? 10 Calculate the remainder when 380 is divided by 6. 2 What is the remainder when 530 is divided by 13? 10 What is the remainder when 857 is divided by 19? 2 Calculate the remainder when 575 is divided by 273. 29 What is the remainder when 204 is divided by 54? 42 What is the remainder when 591 is divided by 285? 21 Calculate the remainder when 328 is divided by 123. 82 What is the remainder when 139 is divided by 81? 58 What is the remainder when 713 is divided by 141? 8 Calculate the remainder when 939 is divided by 283. 90 Calculate the remainder when 94 is divided by 29. 7 Calculate the remainder when 536 is divided by 18. 14 Calculate the remainder when 26641 is divided by 83. 81 Calculate the remainder when 118 is divided by 19. 4 What is the remainder when 234 is divided by 8? 2 Calculate the remainder when 3636 is divided by 72. 36 What is the remainder when 5571 is divided by 14? 13 Calculate the remainder when 3886 is divided by 13. 12 What is the remainder when 320 is divided by 25? 20 What is the remainder when 1871 is divided by 15? 11 What is the remainder when 758 is divided by 54? 2 What is the remainder when 699 is divided by 25? 24 Calculate the remainder when 825 is divided by 382. 61 Calculate the remainder when 1611 is divided by 6. 3 What is the remainder when 2 is divided by 2? 0 Calculate the remainder when 1772 is divided by 34. 4 What is the remainder when 2308 is divided by 70? 68 Calculate the remainder when 8498 is divided by 405. 398 Calculate the remainder when 36 is divided by 33. 3 Calculate the remainder when 315 is divided by 88. 51 What is the remainder when 420 is divided by 9? 6 Calculate the remainder when 317 is divided by 116. 85 Calculate the remainder when 4589 is divided by 153. 152 Calculate the remainder when 67 is divided by 10. 7 What is the remainder when 609 is divided by 192? 33 Calculate the remainder when 1583 is divided by 69. 65 What is the remainder when 305 is divided by 113? 79 Calculate the remainder when 1004 is divided by 36. 32 What is the remainder when 38219 is divided by 156? 155 What is the remainder when 417 is divided by 39? 27 Calculate the remainder when 126 is divided by 53. 20 What is the remainder when 104 is divided by 24? 8 Calculate the remainder when 557 is divided by 14. 11 What is the remainder when 3588 is divided by 171? 168 Calculate the remainder when 78 is divided by 23. 9 What is the remainder when 938 is divided by 41? 36 Calculate the remainder when 177 is divided by 28. 9 What is the remainder when 152 is divided by 74? 4 What is the remainder when 273 is divided by 69? 66 What is the remainder when 529 is divided by 125? 29 Calculate the remainder when 7100 is divided by 27. 26 What is the remainder when 122 is divided by 39? 5 What is the remainder when 1018 is divided by 1008? 10 Calculate the remainder when 934 is divided by 277. 103 What is the remainder when 9309 is divided by 70? 69 What is the remainder when 151 is divided by 3? 1 What is the remainder when 216 is divided by 58? 42 Calculate the remainder when 247 is divided by 85. 77 What is the remainder when 1678 is divided by 20? 18 Calculate the remainder when 38 is divided by 5. 3 What is the remainder when 2149 is divided by 103? 89 What is the remainder when 1343 is divided by 24? 23 What is the remainder when 5301 is divided by 24? 21 What is the remainder when 37 is divided by 22? 15 Calculate the remainder when 183 is divided by 3. 0 Calculate the remainder when 962 is divided by 88. 82 Calculate the remainder when 1185 is divided by 22. 19 What is the remainder when 157 is divided by 96? 61 What is the remainder when 1535 is divided by 140? 135 What is the remainder when 1083 is divided by 42? 33 Calculate the remainder when 184 is divided by 38. 32 What is the remainder when 131 is divided by 22? 21 What is the remainder when 95 is divided by 48? 47 Calculate the remainder when 2106 is divided by 19. 16 Calculate the remainder when 2319 is divided by 145. 144 What is the remainder when 251 is divided by 27? 8 What is the remainder when 2181 is divided by 115? 111 What is the remainder when 338 is divided by 30? 8 Calculate the remainder when 216 is divided by 42. 6 What is the remainder when 5697 is divided by 28? 13 Calculate the remainder when 1399 is divided by 38. 31 What is the remainder when 700 is divided by 35? 0 Calculate the remainder when 440 is divided by 73. 2 Calculate the remainder when 4172 is divided by 694. 8 Calculate the remainder when 931 is divided by 118. 105 Calculate the remainder when 201 is divided by 161. 40 What is the remainder when 119 is divided by 6? 5 Calculate the remainder when 13549 is divided by 88. 85 Calculate the remainder when 189 is divided by 42. 21 Calculate the remainder when 183 is divided by 93. 90 What is the remainder when 597 is divided by 12? 9 Calculate the remainder when 2116 is divided by 13. 10 What is the remainder when 186 is divided by 38? 34 What is the remainder when 112 is divided by 15? 7 What is the remainder when 15762 is divided by 14? 12 What is the remainder when 1791 is divided by 178? 11 What is the remainder when 126 is divided by 44? 38 Calculate the remainder when 413 is divided by 83. 81 Calculate the remainder when 304 is divided by 101. 1 What is the remainder when 457 is divided by 121? 94 What is the remainder when 246 is divided by 173? 73 What is the remainder when 26296 is divided by 13? 10 What is the remainder when 744 is divided by 22? 18 What is the remainder when 92 is divided by 79? 13 Calculate the remainder when 150 is divided by 11. 7 What is the remainder when 453 is divided by 116? 105 Calculate the remainder when 12738 is divided by 182. 180 What is the remainder when 1667 is divided by 39? 29 Calculate the remainder when 16736 is divided by 108. 104 What is the remainder when 136 is divided by 20? 16 What is the remainder when 283 is divided by 22? 19 What is the remainder when 83 is divided by 18? 11 What is the remainder when 1981 is divided by 49? 21 Calculate the remainder when 726 is divided by 56. 54 What is the remainder when 158 is divided by 40? 38 What is the remainder when 42 is divided by 11? 9 What is the remainder when 129 is divided by 45? 39 Calculate the remainder when 316 is divided by 57. 31 Calculate the remainder when 19 is divided by 8. 3 Calculate the remainder when 98 is divided by 20. 18 What is the remainder when 5832 is divided by 21? 15 What is the remainder when 202 is divided by 55? 37 Calculate the remainder when 933 is divided by 85. 83 What is the remainder when 150 is divided by 75? 0 What is the remainder when 339 is divided by 18? 15 What is the remainder when 204 is divided by 23? 20 What is the remainder when 2350 is divided by 28? 26 Calculate the remainder when 830 is divided by 32. 30 What is the remainder when 2935 is divided by 89? 87 Calculate the remainder when 5962 is divided by 42. 40 Calculate the remainder when 62 is divided by 16. 14 What is the remainder when 85
{ "pile_set_name": "DM Mathematics" }
t is nine tenths of a century in decades? 9 What is eighteen fifths of a hour in seconds? 12960 Convert 19864.15 weeks to seconds. 12013837920 How many grams are there in 1/4 of a kilogram? 250 How many kilograms are there in five eighths of a tonne? 625 How many millilitres are there in 3/10 of a litre? 300 How many nanoseconds are there in 6/25 of a microsecond? 240 What is 6093.23526 nanoseconds in weeks? 0.00000000001007479375 Convert 0.3258667t to grams. 325866.7 What is 659.423ug in nanograms? 659423 What is twenty-five quarters of a tonne in kilograms? 6250 What is 51/2 of a kilometer in meters? 25500 How many grams are there in 17/4 of a kilogram? 4250 How many nanometers are there in seventy-nine halves of a micrometer? 39500 How many centimeters are there in 1/4 of a kilometer? 25000 What is thirty-one fifths of a millennium in centuries? 62 What is five eighths of a micrometer in nanometers? 625 What is 10276.72 weeks in nanoseconds? 6215360256000000000 How many milliseconds are there in 5/24 of a minute? 12500 How many milliseconds are there in 11/8 of a minute? 82500 Convert 10.66284 milliseconds to seconds. 0.01066284 How many centimeters are there in 3/40 of a kilometer? 7500 What is 57.67199 microseconds in seconds? 0.00005767199 Convert 42274.44 centuries to months. 50729328 How many milligrams are there in one sixteenth of a kilogram? 62500 What is 6/25 of a microsecond in nanoseconds? 240 How many hours are there in 1.6622379ns? 0.00000000000046173275 Convert 9389.48 millimeters to nanometers. 9389480000 What is 45/2 of a week in hours? 3780 Convert 0.0244534ms to seconds. 0.0000244534 What is 60.5426ml in litres? 0.0605426 How many minutes are there in four fifteenths of a day? 384 How many microseconds are there in 5.581728 nanoseconds? 0.005581728 How many months are there in seven thirds of a millennium? 28000 Convert 0.378598mm to kilometers. 0.000000378598 What is 499661.7 days in microseconds? 43170770880000000 Convert 141.0771 centimeters to meters. 1.410771 Convert 0.3726547l to millilitres. 372.6547 Convert 3549.654ug to kilograms. 0.000003549654 What is 9305.264 micrometers in nanometers? 9305264 How many years are there in fourty-five halves of a century? 2250 What is 2.3550615 months in centuries? 0.00196255125 How many days are there in 11659777.2us? 0.000134951125 Convert 4953.138ms to nanoseconds. 4953138000 How many millimeters are there in 26/5 of a centimeter? 52 What is 43.85062km in millimeters? 43850620 What is thirty-four fifths of a kilogram in grams? 6800 How many millilitres are there in one tenth of a litre? 100 What is 8.206261 centimeters in kilometers? 0.00008206261 What is 31/5 of a kilogram in grams? 6200 How many decades are there in 0.14154 months? 0.0011795 Convert 1842.129 weeks to seconds. 1114119619.2 Convert 6.400735mg to nanograms. 6400735 How many microseconds are there in 1372.283 hours? 4940218800000 Convert 277676.5um to millimeters. 277.6765 What is thirty-seven fifths of a gram in milligrams? 7400 How many litres are there in 7373.625ml? 7.373625 Convert 6.082938nm to micrometers. 0.006082938 How many years are there in eighteen fifths of a century? 360 How many millilitres are there in 1737.03l? 1737030 What is fourty-three halves of a decade in years? 215 What is 43.041292 days in weeks? 6.148756 How many minutes are there in 8/15 of a hour? 32 What is 433.6435 minutes in microseconds? 26018610000 What is 49.9157 millennia in years? 49915.7 How many grams are there in 26/5 of a kilogram? 5200 How many nanograms are there in fifty-seven halves of a microgram? 28500 Convert 2439.7563 months to decades. 20.3313025 How many micrometers are there in twenty-five quarters of a centimeter? 62500 How many seconds are there in four thirds of a hour? 4800 What is 53903.74 millilitres in litres? 53.90374 How many litres are there in 249530.3ml? 249.5303 How many millilitres are there in 540.9278l? 540927.8 How many seconds are there in thirteen fifths of a minute? 156 How many decades are there in 3/25 of a millennium? 12 How many microseconds are there in 1418.965 minutes? 85137900000 Convert 8726.071 hours to microseconds. 31413855600000 How many microseconds are there in 7/4 of a millisecond? 1750 What is 2.09429 days in microseconds? 180946656000 What is one eighteenth of a week in minutes? 560 What is 3/10 of a milligram in micrograms? 300 How many milliseconds are there in fifty-five halves of a second? 27500 What is three fifths of a litre in millilitres? 600 How many meters are there in fifteen quarters of a kilometer? 3750 What is 0.5196475 centuries in years? 51.96475 Convert 94557.61km to millimeters. 94557610000 How many millilitres are there in 29962.46l? 29962460 How many micrograms are there in 5/8 of a milligram? 625 How many millilitres are there in 3/50 of a litre? 60 How many grams are there in 3/32 of a tonne? 93750 How many micrometers are there in seventy-four fifths of a millimeter? 14800 How many months are there in 32/5 of a millennium? 76800 What is one fifth of a meter in centimeters? 20 Convert 0.5380991mg to grams. 0.0005380991 What is 7/8 of a kilometer in meters? 875 Convert 0.5445 weeks to hours. 91.476 How many minutes are there in seven thirds of a week? 23520 How many litres are there in 3207.434ml? 3.207434 What is 72.041589ns in hours? 0.0000000000200115525 Convert 16483.9cm to millimeters. 164839 How many years are there in 26/5 of a decade? 52 How many centuries are there in 947.0055 months? 0.78917125 How many nanoseconds are there in 11/2 of a microsecond? 5500 How many days are there in 723499.83 minutes? 502.4304375 What is thirteen fifths of a century in years? 260 What is 95.26977 kilometers in millimeters? 95269770 How many millilitres are there in 19/4 of a litre? 4750 What is 3.5259ml in litres? 0.0035259 How many milliseconds are there in 4.664517 weeks? 2821099881.6 How many micrograms are there in 0.4935636mg? 493.5636 Convert 2.340001 millennia to decades. 234.0001 What is 52.74946 centuries in years? 5274.946 What is thirty-two fifths of a millennium in decades? 640 What is 0.7414632ng in tonnes? 0.0000000000000007414632 What is twenty-one quarters of a kilogram in grams? 5250 What is 11/2 of a micrometer in nanometers? 5500 What is 3/5 of a hour in minutes? 36 What is fourty-two fifths of a litre in millilitres? 8400 Convert 0.8809494g to tonnes. 0.0000008809494 How many grams are there in 4.853072 nanograms? 0.000000004853072 What is 77/2 of a year in months? 462 What is 281.6176us in seconds? 0.0002816176 What is 21/5 of a litre in millilitres? 4200 What is 0.7299467 millilitres in litres? 0.0007299467 How many months are there in 5/6 of a year? 10 How many centimeters are there in nine sixteenths of a kilometer? 56250 Convert 0.188155 decades to months. 22.5786 How many hours are there in 1.532189 weeks? 257.407752 What is 25/4 of a tonne in kilograms? 6250 What is 3/16 of a day in minutes? 270 How many micrometers are there in eighteen fifths of a millimeter? 3600 What is 11/8 of a gram in milligrams? 1375 Convert 5497.551 nanograms to kilograms. 0.000000005497551 What is 0.7763636g in milligrams? 776.3636 How many months are there in 17/6 of a millennium? 34000 What is 3815.04 decades in centuries? 381.504 What is 27/2 of a gram in milligrams? 13500 What is 0.933657um in nanometers? 933.657 How many micrograms are there in 8.756549mg? 8756.549 What is fifty-four fifths of a century in months? 12960 How many seconds are there in 10/3 of a minute? 200 How many milligrams are there in one fifth of a gram? 200 What is 132.00129 months in decades? 1.10001075 Convert 8.234811 weeks to milliseconds. 4980413692.8 How many minutes are there in sixty-five thirds of a hour? 1300 What is 17/4 of a micrometer in nanometers? 4250 How many meters are there in 15/4 of a kilometer? 3750 What is seventy-six fifths of a minute in seconds? 912 What is 23433.117ms in minutes? 0.39055195 How many decades are there in fourty-six fifths of a century? 92 Convert 7.736232g to tonnes. 0.000007736232 How many centuries are there in 1/5 of a millennium? 2 How many weeks are there in 264.876129 microseconds? 0.0000000004379565625 How many days are there in
{ "pile_set_name": "DM Mathematics" }
17*h - 3. Let z(p) = 17*p + 2. Let j(a) = 2*b(a) + 3*z(a). Give j(w(t)). 17*t**2 Let o(g) = g - 1. Suppose 0 = 4*v - 12, -9*s + 4*s - 5*v = -65. Let q(i) = -12*i + 10. Let z(c) = s*o(c) + q(c). Let t(m) = -9*m. What is z(t(f))? 18*f Let l(i) = 24160*i. Let a(f) = 14*f. Give a(l(p)). 338240*p Let y(x) = 3*x + 2. Let b = 79 + -84. Let z(v) = -7*v - 5. Let m(o) = b*y(o) - 2*z(o). Let i(j) = -13*j. Give m(i(w)). 13*w Let u(i) = -6*i**2 - i**2 + 11*i**2. Let o(k) = 31*k**2. Determine u(o(b)). 3844*b**4 Let z(u) = -3*u**2. Let v(l) be the second derivative of -l**7/630 + l**4/6 + 22*l. Let j(i) be the third derivative of v(i). What is z(j(y))? -48*y**4 Let v(y) be the second derivative of 13*y**4/6 - 4*y**3/3 + 4*y**2 + 31*y. Let j(d) = -d**2 - d + 1. Let b(s) = -8*j(s) + v(s). Let w(h) = -3*h. Give b(w(k)). 306*k**2 Let h(a) = 2*a. Let i(l) = -1 + 36*l + 1 - 12*l. Let n(z) = 20*h(z) - 2*i(z). Let f(q) be the first derivative of 3*q**2/2 - 1. What is n(f(o))? -24*o Let a(f) = 12*f - 841 + 841. Let c(o) = -3*o**2. What is a(c(s))? -36*s**2 Let i be 2/(-3) + 1*(-8)/(-3). Let g(f) = -5*f**i + 0*f**2 + 8*f**2 - 2*f**2. Let z(a) = -49*a. Determine g(z(h)). 2401*h**2 Let t(j) = 0*j + 3*j + 3*j. Let y(q) be the second derivative of -2*q**3/3 + 229*q. Calculate t(y(i)). -24*i Let s(w) = 6*w**2 - 17. Let a(b) = -b**2 + 3. Let f(t) = 34*a(t) + 6*s(t). Let v(h) = 6*h - 16*h + 9*h. Give v(f(x)). -2*x**2 Let b(u) = -u**2. Let w(k) = 2*k + 8. Let y(h) = 3*h + 12. Let o(f) = -8*w(f) + 5*y(f). Determine b(o(t)). -t**2 - 8*t - 16 Let z(k) = k**2 - 9*k. Let c(p) = -12*p. Give z(c(a)). 144*a**2 + 108*a Let b(f) = 362 + 366 - 728 + f - 4*f. Let n(z) = -44*z**2. Calculate b(n(r)). 132*r**2 Let n(k) = 19*k. Let l be -6*(-2)/18*-3. Let a(j) = -5*j - 3. Let x(g) = 4*g + 2. Let r(h) = l*a(h) - 3*x(h). Calculate n(r(v)). -38*v Let b(q) = -4*q + 18. Let j(i) = 72*i**2 - 4*i. Determine j(b(y)). 1152*y**2 - 10352*y + 23256 Let p(k) = -10*k - 5. Let o(j) = -9*j - 4. Let v(x) = -5*o(x) + 4*p(x). Let l(c) = 29*c**2 + 28*c**2 + 27*c**2 - 82*c**2. Give v(l(q)). 10*q**2 Let i(u) = 3*u + 2. Let w(c) = -16*c - 11. Let d(t) = -33*i(t) - 6*w(t). Let g(n) be the first derivative of -4*n**2 + 27. Calculate g(d(r)). 24*r Let u(y) be the first derivative of 13*y**3/6 - 12*y + 5. Let o(l) be the first derivative of u(l). Let m(x) = -x**2. Determine m(o(f)). -169*f**2 Let x(w) = -40824*w. Let f(a) = 10*a**2. Give x(f(b)). -408240*b**2 Let q(y) = 11*y**2. Let u(z) = z + 4. Let c(h) = 6. Let g(j) = -2*c(j) + 3*u(j). What is g(q(n))? 33*n**2 Let t(m) = 31*m**2. Let n(f) be the third derivative of -19*f**5/60 + 195*f**2 + 2. What is t(n(g))? 11191*g**4 Let q(c) = 29*c - 4. Let j(v) = 117*v - 18. Let g(x) = -4*j(x) + 18*q(x). Let r(m) = 2*m. Determine g(r(o)). 108*o Let t(h) = -2*h**2 + 5*h. Let f(b) = -11*b + 428. Determine f(t(p)). 22*p**2 - 55*p + 428 Let a(q) = -1422695*q. Let w(v) = 5*v. Give w(a(t)). -7113475*t Let a(t) = 9*t**2. Let r(k) be the first derivative of 5*k**3/3 + 5*k**2/2 + 4*k + 12. Let o be r(-3). Let l(n) = o*n - 71*n + 39*n. Determine a(l(j)). 36*j**2 Let b(d) = -781*d. Let v(l) = 3337*l. Give v(b(p)). -2606197*p Let b(m) = -558 + 1120 - 562 - 51*m. Let a(h) = -6*h**2. Give a(b(d)). -15606*d**2 Let t(q) = -q**2 + 7*q + 16. Let c be t(7). Let d(y) = -17*y**2 - 2*y + 2*y + c*y**2. Let n(k) = -2*k - 3*k - 7*k. What is n(d(l))? 12*l**2 Let c(f) = 24*f**2 + 148*f - 7. Let k(n) = -7*n**2 - 49*n + 2. Let g(h) = 2*c(h) + 7*k(h). Let b(w) = 7*w**2. What is b(g(r))? 7*r**4 + 658*r**3 + 15463*r**2 Let f(x) = -2*x**2 - 72. Let g(c) be the third derivative of -c**5/30 - c**2 + 52. What is g(f(u))? -8*u**4 - 576*u**2 - 10368 Let g(c) = -c**2. Let s(h) = -h. Let l(q) = -16*q - 1. Let t(z) = l(z) - 5*s(z). Determine t(g(o)). 11*o**2 - 1 Let z(x) = -x. Let q(y) be the first derivative of -7*y**2/2 - 5*y - 5. Let r be q(-5). Let m(w) = r - 30 - 3*w. What is z(m(c))? 3*c Let m be (114/(-9))/(4/(-240)). Let c(q) = -375*q + m*q - 378*q. Let r(y) = -3*y**2. Give c(r(i)). -21*i**2 Let x(i) = -i**2 + 3*i. Let h = -16 - -18. Let y be x(h). Let w(p) = 8*p**2 - 15*p**y + 0 + 0. Let z(d) = -d. What is z(w(t))? 7*t**2 Let s(q) = q. Let g(h) = -72974*h. Give g(s(f)). -72974*f Let p(g) = -1278*g. Let m(b) = -21*b**2. What is m(p(x))? -34298964*x**2 Let z(v) = -78*v. Let a(w) = -31*w**2 + 11*w**2 + 3*w**2 + 14*w**2. What is z(a(s))? 234*s**2 Let x(w) = 2*w**2. Let m be 4/(-2)*104/(-16). Let q(h) = m*h + 5*h - 6*h + 11*h. Determine x(q(i)). 1058*i**2 Suppose 25 - 21 = 2*l. Let s(c) = -11*c + l*c + 11*c. Let z(p) = p**2. Give z(s(g)). 4*g**2 Let m(y) = -18*y. Let g(a) = 23*a. Let f(x) = -3*g(x) - 4*m(x). Let p(h) = -2*h + 161. Determine p(f(t)). -6*t + 161 Let f(d) = 2*d**2 - d**2 + 7*d**2 - 5*d**2. Let s(u) = -29 - 9*u + 29 - 3*u. Calculate f(s(i)). 432*i**2 Let c(v) be the second derivative of 16*v**3/3 + v**2 + 143*v. Let z(f) = -2*f**2. Give z(c(h)). -2048*h**2 - 256*h - 8 Let z(f) = f**2. Let o(q) = 4*q**2 + 4*q + 7. Let r(t) = -2*t**2 - 3*t - 6. Let y(k) = 3*o(k) + 4*r(k). Give y(z(v)). 4*v**4 - 3 Let c(f) = -45*f**2 - 3*f + 3. Let i(l) = 320*l**2 + 20*l - 20. Let o(z) = -40*c(z) - 6*i(z). Let v(k) = -k. Give o(v(g)). -120*g**2 Let w(a) = 2*a**2. Suppose 1 = -m + 6. Let r(j) = m*j**2 + 7*j**2 - 14*j**2. Give w(r(u)). 8*u**4 Let b(j) = 28*j - 8. Let x(k) = -6*k**2 + 118*k. Calculate b(x(d)). -168*d**2 + 3304*d - 8 Let r(l) be the third derivative of 115*l**4/24 - l**3/6 - 323*l**2. Let s(k) = -3*k**2. Determine s(r(a)). -39675*a**2 + 690*a - 3 Let l(c) = c**2. Let f = -19 + 32. Let i(o) = -2*o**2 + o**2 + o**2 - f*o**2. Determine i(l(m)). -13*m**4 Let s(o) be the first derivative of o**4/12 - 3*o + 1. Let m(q) be the first derivative of s(q). Let a(h) = 8*h. Give a(m(k)). 8*k**2 Let q(y) be the first derivative of -237*y**3 + 281. Let p(t) = -2*t. Give q(p(j)). -2844*j**2 Let y(f) = 6*f**2 + 2. Let z(g) = 11*g - 26*g + 13*g. Calculate y(z(h)). 24*h**2 + 2 Let r(p) be the first derivative of 2*p**3 - 23. Let y(a) = -2*a**2. Calculate y(r(l)). -72*l**4 Let z(m) be the third derivative of m**4/12 - 83*m**2. Let w(v) = 10*v**2. Give z(w(c)). 20*c**2 Let j(l) = -73*l. Let p(n) = 5783*n. Calculate p(j(g)). -422159*g Let n(p) = -34*p. Let z(y) = 73*y. Let u(g) = -13*n(g) - 6*z(g). Let x(j) be the second derivative of -j**4/6 - j. Calculate x(u(t)). -32*t**2 Let r(a) be the first derivative of -35/2*a**2 - 6 + 0*a. Let z(x) = 2*x**2. Determine r(z(w)). -70*w**2 Let z(b) be the first derivative of 20*b**3/3 + 675. Let m(o) = 15*o**2. Determine z(m(d)). 4500*d**4 Let m(l) be the third derivative of -193*l**5/60 - 70*l**2 - l. Let i(d) = -d**2. Give m(i(q)). -193*q**4 Let i(k) = -15*k. Let p(w) = -3*w + 20. Let t be p(6). Let j(z) = 2*z**t + 21*z - 7*z - 14*z. Give i(j(u)). -30*u**2 Let r(b) = -b + 1. Let h(u) = 35*u - 28. Let q(m) = h(m) + 28*r(m). Let g(j) = -5806 + j**2 + 5806. Give g(q(y)). 49*y**2 Let o(v) = -14*v**2 + v - 36. Let g(n) = 19*n. What is g(o(w))? -266*w**2 + 19*w - 684 Let t(f) = -3*f. Let c(x) = -9 + 3 - 3*x + 2*x. Let h(y) = 1. Let r be ((-24)/(-14))/(4/14). Let w(n) = r*h(n) + c(n). Calculate t(w(o)). 3*o Let b(p) = 28*p - 5630. Let d(y) = y. Calculate b(d(w)). 28*w - 5630 Let t(j) = j. Let c(d) be the third derivative of -15*d**4/2 - 5*d**2 + 22. What is c(t(m))? -180*m Let k be 2/(71/23 - 3). Let b(s) = 23 + 0*s**2 - k - 2*s**2. Let g(u) = -7*u**2. Determine b(g(f)). -98*f**4 Let t(g) = 5*g**2 + 4. Let s(c) = c**2 - 3 - 4*c**2 - 2*c**2 + c**2. Let q(j) = 4*s(j) + 3*t(j). Let i(x) = 15*x + 19*x - 62*x + 4*x. Determine q(i(h)). -576*h**2 Let p(n) = -213*n. Let o(b) = 515*b**2 - 4. Give o(p(w)). 23365035*w**2 - 4 Let y(a) = -2*a**2. Let q(w) = -164*w. Give y(q(j)). -53792*j**2 Let p(c) = c - 3. Let n(s) = -5. Let m(a) = 3*n(a) - 5*p(a). Let d(h) = 1821 - 1821 - 2*h. Give d(m(u)). 10*u Let r(u) be the third derivative of u**5/30 + 16*u**2 - 2. Let w(o) be the third derivative of -o**5/20 + 2*o**2. Determine r(w(q)). 18*q**4 Let n(f) = 1 + 7 - 8 - 3*f. Let l = -2 + 4. Let a(g) = 0*g + 0*g - 5*g**l + 4*g**2. Give n(a(t)). 3*t**2 Let m be (-9)/3*4/3. Let g(l) = 14 - 35 - 5*l + 17. Let x(r) = 11*r + 9. Let d(u) = m*x(u) - 9*g(u). Let a(q) = -5*q**2. Give a(d(v)). -5*v**2 Let u(h) = 4*h. Suppose
{ "pile_set_name": "DM Mathematics" }
+ a**3 - 15*a**2. Let u be s(16). Let b(i) = 4*i**u + 2*i**2 + 2*i**2 - 6*i**2. Let o(c) = 15*c. Determine b(o(g)). 450*g**2 Let h(b) = 5*b. Let c(v) = 8*v. Let u(d) = 2*c(d) - 3*h(d). Let n(s) = -25345*s. Let x(z) = -132*z. Let l(k) = -5*n(k) + 959*x(k). Determine l(u(r)). 137*r Let u(c) = 3*c. Let l(d) be the first derivative of 41*d**2 - 567. What is l(u(o))? 246*o Let t(y) = 1628143*y. Let p(d) = 122*d**2. What is p(t(a))? 323403654670778*a**2 Let x(i) be the second derivative of i**3/3 + 3*i + 65. Let y(a) = 507*a. Determine y(x(m)). 1014*m Let n(y) = y - 3619. Let x(i) = 4*i**2 + 2. What is n(x(l))? 4*l**2 - 3617 Let z(o) = -134*o. Let f(t) = -150766*t. Determine f(z(y)). 20202644*y Let o(a) = 21816*a**2. Let m(i) = -6*i**2 - 10*i**2 + 14*i**2 + i**2. Determine o(m(r)). 21816*r**4 Let v(u) = 276*u - 2. Let g(s) be the second derivative of -s**4/3 + 215*s + 8. Calculate g(v(p)). -304704*p**2 + 4416*p - 16 Let y(t) = 2*t. Let c(s) = -3*s**2 - s + 3. Let d(f) = -5690*f**2 + 35*f - 105. Let u(v) = 35*c(v) + d(v). Give u(y(k)). -23180*k**2 Let b(n) be the second derivative of -80*n + 2/3*n**3 + 0 + 0*n**2. Let c(i) be the third derivative of i**5/15 + 2*i**2. Give b(c(w)). 16*w**2 Let l(b) = 6*b - 7*b + 0*b. Let f(w) = -36 + 23 + 6*w - 78*w + 13. Determine f(l(n)). 72*n Let k(z) = 26*z. Let r(s) = -46*s - 1253. Calculate r(k(m)). -1196*m - 1253 Let k(q) = -43*q. Let y(x) = 30*x**2 + 183*x. Determine k(y(z)). -1290*z**2 - 7869*z Let p(i) = i**2 + 314. Let q(j) = -7*j. Let c(o) be the first derivative of -4*o**2 + 54. Let w(r) = -5*c(r) + 6*q(r). What is p(w(k))? 4*k**2 + 314 Let n(r) = 3*r. Let t(b) = -740*b + 181. Let p(d) = 245*d - 68. Let a(s) = 8*p(s) + 3*t(s). Give n(a(h)). -780*h - 3 Let s(m) be the third derivative of 33*m**4/8 - 5547*m**2. Let t(c) = 11*c**2. What is s(t(a))? 1089*a**2 Let r(n) = -56*n**2. Let v(c) be the second derivative of 2*c**3/3 + 2*c**2 - 3370*c. Calculate r(v(i)). -896*i**2 - 1792*i - 896 Let o(c) = 240*c + 78. Let q(y) = -3*y - 1. Let r(u) = o(u) + 78*q(u). Let f(b) = -17*b**2 - 18. Give r(f(g)). -102*g**2 - 108 Let y(p) = -166*p**2 + 5*p + 5. Let s(j) = -2*j**2 + j + 1. Let z(h) = 5*s(h) - y(h). Let a(l) = -l. Determine a(z(b)). -156*b**2 Suppose 0 = 16*m + 390 - 1510. Let u(v) = -78 - m + 456*v**2 + 148. Let k(j) = 2*j**2. Give u(k(r)). 1824*r**4 Let b(w) be the second derivative of w**4/12 + w**3/2 + 31*w**2/2 + 1998*w. Let m(h) = -h**2. Give b(m(u)). u**4 - 3*u**2 + 31 Let v(t) = 27*t - 75*t + 26*t + 19*t. Let u(o) be the second derivative of 5*o**3/3 - 487*o. Determine v(u(m)). -30*m Let c(j) = -5*j**2 + 8*j - 348. Let w(d) = -3*d**2 + 5*d - 236. Let f(m) = 5*c(m) - 8*w(m). Let g(q) = 10*q**2. Determine g(f(o)). 10*o**4 - 2960*o**2 + 219040 Let w(a) = a - 9. Let t(b) = -44. Let k(r) = -18. Let l(j) = 12*k(j) - 5*t(j). Let s(u) = -9*l(u) - 4*w(u). Let o(g) = -g**2. Calculate o(s(d)). -16*d**2 Let i(m) = 93*m**2 - 42*m + 7. Let z(f) = 23*f. Give z(i(g)). 2139*g**2 - 966*g + 161 Let w(h) = -13*h**2. Let p(a) be the third derivative of 0*a**3 + 0 - 66*a**2 + 0*a - 19/60*a**5 + 0*a**4. Give w(p(m)). -4693*m**4 Let u(p) = 74427*p. Let a(o) = -62*o**2 + 1. Calculate a(u(g)). -343441456398*g**2 + 1 Let k(p) be the second derivative of -p**3/2 - 143*p**2 + 3930*p. Let z(q) = 2*q. Determine z(k(l)). -6*l - 572 Let t(x) = 2*x**2 + 9. Let g(d) = -15*d**2 + 554*d + 43. Calculate g(t(a)). -60*a**4 + 568*a**2 + 3814 Let y(r) = -40*r**2 + 23*r - 120. Let b(d) = -11*d**2 + 6*d - 30. Let s(u) = -23*b(u) + 6*y(u). Let n(o) = -o. Calculate s(n(m)). 13*m**2 - 30 Let x(a) = -13*a - 19. Let i(j) = -5*j + 370 - 380 + 0*j. Let w(u) = -5*i(u) + 2*x(u). Let p(b) = -b**2. What is p(w(d))? -d**2 + 24*d - 144 Let q(t) = -229 + 227 + 4*t + 6*t. Let k(z) be the second derivative of -z**4/12 - 23*z. What is q(k(c))? -10*c**2 - 2 Let d(z) = -2114*z**2 - 9*z - 12. Let u(t) = 1701770*t**2 + 7248*t + 9664. Let j(p) = -2416*d(p) - 3*u(p). Let v(q) = q. Give j(v(n)). 2114*n**2 Let p(q) = -127*q. Let f(r) = 228557*r. Determine f(p(i)). -29026739*i Let q(p) = 175*p**2 + 13*p. Let t(d) = -86*d**2 - 6*d. Let k(m) = -6*q(m) - 13*t(m). Let j(s) be the third derivative of s**5/15 - 8*s**2. Calculate j(k(x)). 18496*x**4 Let r(l) be the second derivative of -62*l**3 + 5*l**2/2 - 1182*l. Let a(x) = -x**2. Determine a(r(h)). -138384*h**2 + 3720*h - 25 Let a(g) = 2*g. Let p(o) = 22*o - 15. Let h(y) = 3*y + 2. Let d(j) = -21*h(j) - 3*p(j). Give d(a(n)). -258*n + 3 Let q(c) be the third derivative of -c**5/120 + 17*c**3/2 + c**2 + 4. Let n(y) be the first derivative of q(y). Let u(v) = -2*v - 185. Calculate u(n(d)). 2*d - 185 Let d(v) = 3 - 9*v**2 - 3. Let a(k) = -190 + 8*k + 375 - 11*k - 185. What is d(a(s))? -81*s**2 Let g(u) = -13*u + 54. Let w(l) = 154*l - 630. Let f(q) = 35*g(q) + 3*w(q). Let c(j) = -748*j. Give f(c(z)). -5236*z Let b(h) be the first derivative of -1599*h**2 + 4713. Let x(u) = -u**2. What is b(x(f))? 3198*f**2 Let h(x) = -x**2. Let f(u) = -5639*u**2 + 2732*u**2 + 2792*u**2. Calculate f(h(g)). -115*g**4 Let l(m) = 140289594*m**2. Let w(d) = -2*d**2. Give w(l(v)). -39362340369369672*v**4 Suppose 11*p - 377 - 602 = 0. Let u(k) = -p*k**2 + 5*k + 3*k + 0*k - 8*k. Let w(h) = h**2. What is w(u(t))? 7921*t**4 Let d(x) = -6*x**2 + 3. Let s be (1 - 39/45) + (-112)/(-60). Let i(l) = -10*l + 0*l + 6*l + s*l. Give d(i(r)). -24*r**2 + 3 Let w(v) be the second derivative of 0 - 4*v + 0*v**2 + 1/6*v**3. Let s(d) = d**2 - 6*d**2 - 3*d**2 - d**2. Calculate s(w(y)). -9*y**2 Let j(n) = -135*n**2 + 2*n + 153. Let f(d) = d. Determine f(j(p)). -135*p**2 + 2*p + 153 Let k(y) = 38873*y**2. Let x(b) = 1011*b. Calculate x(k(o)). 39300603*o**2 Let w(q) = 2*q + 3*q - 6*q - 3 - 4*q. Let k(j) = -4*j - 2. Let u(y) = 3*k(y) - 2*w(y). Let r(b) = -108*b**2. Calculate r(u(s)). -432*s**2 Let g(o) = 36*o. Let t be -2 + ((-12859)/(-35) - (-2)/(-5)). Let m(q) = 365 + 2*q - t. Calculate g(m(r)). 72*r Let x(o) = -o. Let j(m) = -508188*m**2 + m - 1. Determine j(x(a)). -508188*a**2 - a - 1 Let s(c) = c**2 + 2. Let o be s(0). Let h(z) = -21*z + 2*z**2 - 10*z**o + 21*z. Let j(a) = -10 - a**2 + 10. Determine h(j(y)). -8*y**4 Let d(m) = -14599*m. Let p(l) = -2*l + 144. Determine p(d(r)). 29198*r + 144 Let h(p) = 1442*p**2 + 1436*p**2 - 4300*p**2 + 1445*p**2. Let k(a) = 61*a**2. Determine h(k(l)). 85583*l**4 Let h(o) be the second derivative of o**4/12 + 32*o**2 + o + 110. Let t(c) be the first derivative of h(c). Let y(s) = 7*s - 8*s - 25*s. Give y(t(g)). -52*g Let k(u) = -7*u. Let x(m) be the second derivative of 50*m**3 - 2425*m. What is k(x(z))? -2100*z Let d(m) = -2869*m - 3. Let i(f) = 401*f**2 + f - 2. What is d(i(u))? -1150469*u**2 - 2869*u + 5735 Let s(j) = -741*j - 1. Let z(m) = -133785*m. Give s(z(l)). 99134685*l - 1 Let l(i) = i. Let g(s) = -5*s + 17*s**2 + 96469 + 0*s - 96469. Give l(g(t)). 17*t**2 - 5*t Let o(b) = 28*b + 1. Let s = 14091 + -14091. Let r(a) be the third derivative of 0*a**4 + 0*a**3 + 1/60*a**5 - 18*a**2 + s*a + 0. What is o(r(l))? 28*l**2 + 1 Let s(r) = 3343 + 3*r - 3343. Let c(n) be the first derivative of 11 - 10 + 17*n**2 - 8 - 7*n**2. What is c(s(d))? 60*d Let o(i) = -18*i. Let q(y) = -4*y**2 + 660092*y - 660092*y. What is q(o(f))? -1296*f**2 Let b(i) be the second derivative of 0 + 1/6*i**3 + 61*i + 0*i**2. Let j(c) = 33*c**2. Give b(j(f)). 33*f**2 Let d(m) = -137*m. Let u(s) = 42*s**2 - 8*s**2 - 11*s**2 - 14*s**2 - 8*s**2. Determine d(u(x)). -137*x**2 Let f(q) be the second derivative of -q**3/6 - 4*q. Let t = -160 + 166. Let s(h) = -4*h + 13*h**2 + t*h**2 - 21*h**2 + 3*h**2. Give f(s(i)). -i**2 + 4*i Let h(w) = 2*w. Let d(s) = 3*s**2 - 8*s + 6. Let o be d(2). Let k(j) be the first derivative of 0*j + 7 - 11/2*j**o. Give h(k(g)). -22*g Let s(k) = 4*k**2. Suppose -5*w + 230 = 3*z + 24, -z - w = -70. Let a(u) = -71*u - z*u + 208*u - 68*u. Determine a(s(g)). -12*g**2 Let g(t) = -7*t. Let x(f) = -289*f**2 - 293*f - 2. Determine x(g(y)). -14161*y**2 + 2051*y - 2 Let m(n) = 16*n. Suppose -9*j - 8 = -j. Let b be (94 + 28)*j/(-2). Let a(d) = b - 61 + 3*d. What is m(a(c))? 48*c Let k(s) = -44144865*s. Let r(i) = -7*i**2. What is k(r(p))? 309014055*p**2 Let z(q) = 10264*q. Let g(i) be the second derivative of i**4/6 - 7864*i. Calculate z(g(w)). 20528*
{ "pile_set_name": "DM Mathematics" }
9 Sort -0.1, -2/3, -0.01, -115, -0.2. -115, -2/3, -0.2, -0.1, -0.01 Sort -35, 1, 5, -2, 0, 27 in descending order. 27, 5, 1, 0, -2, -35 Put -1.7, 36, 2/9, 3, -0.2, -0.1 in descending order. 36, 3, 2/9, -0.1, -0.2, -1.7 Put 396, -1/4, 1.2, -0.1 in ascending order. -1/4, -0.1, 1.2, 396 Put -11, 5, -2, 17, -454, 1 in decreasing order. 17, 5, 1, -2, -11, -454 Put -23, 2, -109, -4, 4, -3 in ascending order. -109, -23, -4, -3, 2, 4 Put -204, -46, 0 in descending order. 0, -46, -204 Put -0.5, 1, 3/10, -0.169 in ascending order. -0.5, -0.169, 3/10, 1 Sort -7, 3/14, -16176 in increasing order. -16176, -7, 3/14 Sort -1/14, 10249.2, -5 in ascending order. -5, -1/14, 10249.2 Put 0, 5782, 29 in descending order. 5782, 29, 0 Sort 6, -979, 4, -5. -979, -5, 4, 6 Put -1, -7, -3, -5, -31 in descending order. -1, -3, -5, -7, -31 Put 13, 2, 0.1, -267, 1 in increasing order. -267, 0.1, 1, 2, 13 Sort 22172, 3, 4 in increasing order. 3, 4, 22172 Sort 3, -138327, 1. -138327, 1, 3 Sort -1/4, -3, 3/2, 2, -1, -0.09 in increasing order. -3, -1, -1/4, -0.09, 3/2, 2 Sort -5.9, -0.2, 7, 0.5, -1.27 in increasing order. -5.9, -1.27, -0.2, 0.5, 7 Put 228, 6, 4/9 in descending order. 228, 6, 4/9 Put -3, 4, 3, -12, -7 in decreasing order. 4, 3, -3, -7, -12 Sort 1, 6169, 3. 1, 3, 6169 Sort 1, 2, -305 in ascending order. -305, 1, 2 Put 2, -1092, 9 in increasing order. -1092, 2, 9 Sort 1, -30, -133, 0, -2. -133, -30, -2, 0, 1 Sort 1, 4/7, 7, -1/12, -0.2, 0.08 in descending order. 7, 1, 4/7, 0.08, -1/12, -0.2 Put 22, -30109, -2 in ascending order. -30109, -2, 22 Put -3, -16, 704 in increasing order. -16, -3, 704 Put 29.4, -1, 372 in increasing order. -1, 29.4, 372 Sort 3, 203014, 5 in increasing order. 3, 5, 203014 Sort 23, 9, -0.3, 4, 8, 1/2 in descending order. 23, 9, 8, 4, 1/2, -0.3 Sort 1/2, 0, -3/41, 1/728 in descending order. 1/2, 1/728, 0, -3/41 Put 3.69, 2/11, -0.2, -0.0374 in descending order. 3.69, 2/11, -0.0374, -0.2 Put -7, -282, -4, -139, -2 in increasing order. -282, -139, -7, -4, -2 Sort 29, 4, 10, 2/47. 2/47, 4, 10, 29 Sort 10, -1/6, -15 in ascending order. -15, -1/6, 10 Sort -85, -0.09, 0.5, -4 in increasing order. -85, -4, -0.09, 0.5 Sort -153, 47, 3, -1. -153, -1, 3, 47 Put 5, -0.2, -622, 0.1, -0.5 in ascending order. -622, -0.5, -0.2, 0.1, 5 Sort 1, 249263, 0, -5 in ascending order. -5, 0, 1, 249263 Put -11/2, 4, 3/35 in ascending order. -11/2, 3/35, 4 Sort 5, -28, 4, 80, -4. -28, -4, 4, 5, 80 Sort -1/9, -5, -1/3, -929.35 in descending order. -1/9, -1/3, -5, -929.35 Sort -2, -2944, 16 in increasing order. -2944, -2, 16 Put 2/13, -9771, 3 in decreasing order. 3, 2/13, -9771 Sort 34, -134, 101 in ascending order. -134, 34, 101 Sort -106718, -5, 1, 0, -2 in descending order. 1, 0, -2, -5, -106718 Put -3126, 3, -44 in increasing order. -3126, -44, 3 Put 2/5, 11, -4, 2/3, -20/13, 0.33 in descending order. 11, 2/3, 2/5, 0.33, -20/13, -4 Put 1/4, -3, 3, -0.14, -0.01, -1 in decreasing order. 3, 1/4, -0.01, -0.14, -1, -3 Sort 4, 5, -4, 2, -84, -2 in descending order. 5, 4, 2, -2, -4, -84 Sort 2/9, 6, 4/16389. 4/16389, 2/9, 6 Sort -2/5, 3/8, 0.051, -1/36, 29 in ascending order. -2/5, -1/36, 0.051, 3/8, 29 Put 165, 3, -4, 4, -8, -3 in descending order. 165, 4, 3, -3, -4, -8 Sort 0, 7, -2, -100, -12 in descending order. 7, 0, -2, -12, -100 Put 5, 2, -0.04, 2/497, 2/9 in decreasing order. 5, 2, 2/9, 2/497, -0.04 Sort 3, 206, 0, -110 in descending order. 206, 3, 0, -110 Sort -172, -7, -14, -6 in decreasing order. -6, -7, -14, -172 Sort -0.23, -16, -3, 62, 0.4, -2 in increasing order. -16, -3, -2, -0.23, 0.4, 62 Put 16, -1, 1, -1559, 3, -5 in decreasing order. 16, 3, 1, -1, -5, -1559 Put -15, -4, -144, 19 in increasing order. -144, -15, -4, 19 Put 0, 6, 3, -16, 5, -15 in decreasing order. 6, 5, 3, 0, -15, -16 Sort 290, -18, -45, -2 in ascending order. -45, -18, -2, 290 Put 2, -2/7, 149, -6/7 in decreasing order. 149, 2, -2/7, -6/7 Sort 210, 119, 2 in decreasing order. 210, 119, 2 Sort -4/7, 28, 1, -3.9, 2. -3.9, -4/7, 1, 2, 28 Sort -0.3, 2/9, -4549, 7 in ascending order. -4549, -0.3, 2/9, 7 Sort -60, -47, -1, 3 in descending order. 3, -1, -47, -60 Put 11, 78, 3 in ascending order. 3, 11, 78 Put 5, 2260, 15, 2 in descending order. 2260, 15, 5, 2 Sort -3, 7, 10358 in descending order. 10358, 7, -3 Sort -5, -7, -9, -2, 3, 6 in decreasing order. 6, 3, -2, -5, -7, -9 Sort -21.4, -2/9, 0.1, -2/3, -0.4. -21.4, -2/3, -0.4, -2/9, 0.1 Put 2, -45.1, -4/11, -0.001 in decreasing order. 2, -0.001, -4/11, -45.1 Sort -4, 0, 2, -227. -227, -4, 0, 2 Put 17, 3, 0, 1/36, -4 in decreasing order. 17, 3, 1/36, 0, -4 Sort 3, 10, -2, 1, 194 in decreasing order. 194, 10, 3, 1, -2 Sort -3, 0.4, -97, -2, -5, -4 in decreasing order. 0.4, -2, -3, -4, -5, -97 Sort -3, 3, 88, -53. -53, -3, 3, 88 Put -13, 1, -3, 5, -37 in descending order. 5, 1, -3, -13, -37 Put 5/4, -2, 0.07, 0.4, -0.1, -0.2 in descending order. 5/4, 0.4, 0.07, -0.1, -0.2, -2 Put 3/5, 0, -3.862, 4, 0.4, -2/11 in ascending order. -3.862, -2/11, 0, 0.4, 3/5, 4 Sort -2/13, 11, 0.27, -1.7 in descending order. 11, 0.27, -2/13, -1.7 Sort -3, -12511, -0.2 in increasing order. -12511, -3, -0.2 Put 0.92, 1, -1, -3 in increasing order. -3, -1, 0.92, 1 Sort -1129, 0, 36 in descending order. 36, 0, -1129 Put -2/19, 15/53, 1/10, -0.1, -5 in increasing order. -5, -2/19, -0.1, 1/10, 15/53 Put 0.5, 2/3, -111, -5, -3 in increasing order. -111, -5, -3, 0.5, 2/3 Sort 1, 51, 6, -3, 0 in ascending order. -3, 0, 1, 6, 51 Sort -2851, 5, -87, -1. -2851, -87, -1, 5 Put -8, -55, -35, -4 in decreasing order. -4, -8, -35, -55 Sort 95, 5, 0.5, -0.28 in descending order. 95, 5, 0.5, -0.28 Put 3.3, -9, 0.4, 2, 0.2, 1/4 in increasing order. -9, 0.2, 1/4, 0.4, 2, 3.3 Sort -7, -3, -0.2, -4, -5 in descending order. -0.2, -3, -4, -5, -7 Put 2, -9, -41 in descending order. 2, -9, -41 Put -4, 21, -5/3, -172 in descending order. 21, -5/3, -4, -172 Put 2/187, 7, -3, -0.3, 3/2 in ascending order. -3, -0.3, 2/187, 3/2, 7 Sort -73, 0.8, -0.06 in descending order. 0.8, -0.06, -73 Put -3, 2/5, 0.071, -11 in decreasing order. 2/5, 0.071, -3, -11 Sort 2.6, 5, -0.03, 2, 1.71 in decreasing order. 5, 2.6, 2, 1.71, -0.03 Sort -37, 18, -5, 3, -2. -37, -5, -2, 3, 18 Put 15, -4, 1, -1115, 3, 10 in ascending order. -1115, -4, 1, 3, 10, 15 Sort -0.4, 73, 0.5, 0.24, -1/7 in descending order. 73, 0.5, 0.24, -1/7, -0.4 Put -21, 0, -5, -89, 7 in descending order. 7, 0, -5, -21, -89 Put -1/5, 209, 265, -0.5 in ascending order. -0.5, -1/5, 209, 265 Put -8, 7, -2, 5, -4, 61 in decreasing order. 61, 7, 5, -2, -4, -8 Put 21, 3, 295 in increasing order. 3, 21, 295 Put 356, -1, 5, 4, -34 in decreasing order. 356, 5, 4, -1, -34 Sort 7, 9/13, -1, 0.2, 13 in increasing order. -1, 0.2, 9/13, 7, 13 Put 0.4, 2, 0.25, -0.364 in decreasing order. 2, 0.4, 0.25, -0.364 Sort 2, 4, -5, 57, 640 in descending order. 640, 57, 4, 2, -5 Sort 3, -2107, 0, -1. -2107, -1, 0, 3 Sort -628/3, -1, -2/13, 2. -628/3, -1, -2/13, 2 Put -3, 4, 2, 9, -47, 5 in descending order. 9, 5, 4, 2, -3, -47 Sort 2/101, 0.2, 0.3, -0.4, -5/4. -5/4, -0.4, 2/101, 0.2, 0.3 Sort 0.4, 2, 31.3, 1/3, 6, 0 in descending order. 31.3, 6, 2, 0.4, 1/3, 0 Sort -4, 0, -32, -52. -52, -32, -4, 0 Sort -10, 0, 281 in decreasing order. 281, 0, -10 Put 8/13, 68, 35 in descending order. 68, 35, 8/13 Sort -8/7, -0.04, 2/29, 10/9 in increasing order. -8/7, -0.04, 2/29, 10/9 Sort -4, -6/49, -4/7, 0.4 in ascending order. -4, -4/7, -6/49, 0.4 Put 42, 0.1, 7 in descending order. 42, 7, 0.1 Put -3636, -45, -3 in descending order. -3, -45, -3636 Sort -3, -4, 2, -49, 0.07, 1/2. -49, -4, -3, 0.07, 1/2, 2 Put 15, 376/15, -3 in increasing order. -3, 15, 376/15 Sort 172, -1, -4, -6 in increasing order. -6, -4, -1, 172 Put -14684, -4, 2, -2 in decreasing order. 2, -2, -4, -14684 Put 2/15, 0.1, 6.8, 1, 125, 0.9 in ascending order. 0.1, 2/15, 0.9, 1, 6.8, 125 Sort 0.3, -31, 25, -5 in ascending order. -31, -5, 0.3, 25 Sort -63, 0, -1, 0.4, 39 in increasing order. -63, -1, 0, 0.4, 39 Put -55, -204, 1, -6 in ascending order. -204, -55, -6, 1 Put -11/2, 2/11, -3, 3/2, 253 in ascending order. -11/2, -3, 2/11, 3/2, 253 Put -3, 1, -116, 5, 836 in increasing order. -116, -3, 1, 5, 836 Sort -2/3, 2/5, -2807.1 in decreasing order. 2/5, -2/3, -2807.1 Put -18, -4, -2, 121 in ascending order.
{ "pile_set_name": "DM Mathematics" }
ii. What is prob of picking 1 q and 1 z? 5/91 Three letters picked without replacement from {m: 1, i: 4, s: 2}. What is prob of picking 1 s, 1 m, and 1 i? 8/35 Calculate prob of picking 2 c and 1 e when three letters picked without replacement from ceeccjcce. 5/14 Two letters picked without replacement from {l: 5, e: 6, n: 5, q: 4}. Give prob of picking 1 q and 1 e. 12/95 Calculate prob of picking 3 x when three letters picked without replacement from bxxxxxbxxxbbxxxxbb. 55/204 Two letters picked without replacement from iooiigggigioeygigy. What is prob of picking 1 o and 1 i? 2/17 Three letters picked without replacement from ooohxhoohoxooooozozo. What is prob of picking 2 x and 1 h? 1/380 What is prob of picking 2 f and 2 h when four letters picked without replacement from {f: 4, y: 1, h: 3}? 9/35 Two letters picked without replacement from {k: 4, x: 3, y: 9}. Give prob of picking 1 k and 1 y. 3/10 Calculate prob of picking 1 g and 1 z when two letters picked without replacement from iiiigzgiz. 1/9 Calculate prob of picking 1 c and 3 m when four letters picked without replacement from eeccciimimiviciim. 1/595 Three letters picked without replacement from jljmrrllmrjmrmmmbmm. What is prob of picking 1 l and 2 m? 28/323 What is prob of picking 2 s and 2 g when four letters picked without replacement from bsbsbbgbbyssg? 6/715 Three letters picked without replacement from jjjjhjjjjffffjfjhf. What is prob of picking 1 f, 1 j, and 1 h? 5/34 Two letters picked without replacement from txxxxxxxxxxtxxxttx. Give prob of picking 2 x. 91/153 What is prob of picking 1 v and 1 s when two letters picked without replacement from {v: 3, l: 1, s: 5}? 5/12 Three letters picked without replacement from {y: 2, j: 5, t: 3, x: 1, m: 1}. What is prob of picking 2 t and 1 x? 3/220 Calculate prob of picking 1 z, 1 l, and 1 r when three letters picked without replacement from {l: 8, r: 8, z: 1}. 8/85 Two letters picked without replacement from {v: 2, r: 6, o: 4}. Give prob of picking 1 v and 1 o. 4/33 Two letters picked without replacement from epiicpca. Give prob of picking 1 c and 1 e. 1/14 Three letters picked without replacement from pnncrrrrnrnprrrr. Give prob of picking 2 p and 1 c. 1/560 What is prob of picking 1 z and 1 r when two letters picked without replacement from tetezttrrerrt? 2/39 Three letters picked without replacement from llqlqqlqqqqlq. Give prob of picking 2 q and 1 l. 70/143 Four letters picked without replacement from cccdcdcdcfddcf. Give prob of picking 4 c. 5/143 Calculate prob of picking 2 k and 2 f when four letters picked without replacement from fkfffkfkff. 3/10 Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 3, v: 5, z: 3}. 9/55 Four letters picked without replacement from pdppdppddddd. What is prob of picking 2 d and 2 p? 14/33 What is prob of picking 1 z and 2 h when three letters picked without replacement from hxxzfhhhhhhhhhx? 9/91 Four letters picked without replacement from zzzrrzzzzrzz. Give prob of picking 1 z and 3 r. 1/55 Two letters picked without replacement from {u: 7, a: 3, t: 4}. What is prob of picking 1 a and 1 t? 12/91 Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {c: 1, v: 2, n: 6, t: 2, r: 5}. 1/10 Calculate prob of picking 1 z and 2 k when three letters picked without replacement from kkyzzkz. 9/35 What is prob of picking 4 y when four letters picked without replacement from ylylyyy? 1/7 What is prob of picking 2 h when two letters picked without replacement from {h: 10}? 1 What is prob of picking 2 e when two letters picked without replacement from {j: 4, x: 6, e: 2, a: 6}? 1/153 Four letters picked without replacement from hhgxhxhhghh. What is prob of picking 1 g and 3 h? 7/33 Calculate prob of picking 2 s and 1 i when three letters picked without replacement from {s: 2, m: 1, x: 1, i: 3}. 3/35 Four letters picked without replacement from {z: 3, u: 1, d: 2, w: 4, x: 1}. What is prob of picking 1 w, 1 u, and 2 z? 2/55 Four letters picked without replacement from {z: 2, o: 7, n: 1, p: 7, m: 1}. Give prob of picking 1 m, 1 p, and 2 o. 49/1020 What is prob of picking 2 p and 1 v when three letters picked without replacement from {v: 2, b: 1, p: 11}? 55/182 Three letters picked without replacement from {p: 11, g: 9}. What is prob of picking 1 p and 2 g? 33/95 Two letters picked without replacement from {i: 1, v: 2}. Give prob of picking 2 v. 1/3 Four letters picked without replacement from {t: 1, x: 1, w: 3, j: 6, a: 1}. What is prob of picking 1 x, 1 w, and 2 j? 1/11 What is prob of picking 2 o and 1 w when three letters picked without replacement from {w: 1, r: 2, y: 3, o: 4, z: 2}? 3/110 Calculate prob of picking 2 k and 2 l when four letters picked without replacement from kkkkkklklklkkk. 15/91 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from ukkfuukf. 9/28 Calculate prob of picking 1 s and 2 l when three letters picked without replacement from jjllljjjllsjslljjjl. 56/969 Two letters picked without replacement from ydhctvv. What is prob of picking 1 c and 1 v? 2/21 Four letters picked without replacement from zcckkevuckuee. Give prob of picking 1 v and 3 c. 1/715 What is prob of picking 1 z and 1 i when two letters picked without replacement from iiinininnnnnnniizn? 7/153 Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {c: 1, m: 1, t: 1, a: 1, f: 1}. 1/10 Four letters picked without replacement from cwzzwwcycwwwzwzwyw. Give prob of picking 2 w, 1 z, and 1 y. 8/85 Two letters picked without replacement from {x: 4, q: 1, w: 8}. What is prob of picking 1 q and 1 w? 4/39 Two letters picked without replacement from eeveeevveeeeevev. What is prob of picking 2 v? 1/12 What is prob of picking 1 f and 1 t when two letters picked without replacement from rtowffo? 2/21 Calculate prob of picking 2 w, 1 c, and 1 j when four letters picked without replacement from wwwjcjjww. 5/21 What is prob of picking 3 o and 1 z when four letters picked without replacement from {x: 1, z: 4, n: 1, b: 1, o: 4}? 8/165 Three letters picked without replacement from {a: 1, h: 3, x: 1}. What is prob of picking 1 a, 1 x, and 1 h? 3/10 Three letters picked without replacement from ccccccc. What is prob of picking 3 c? 1 Two letters picked without replacement from yttyzykhyyyhtkhyhn. What is prob of picking 1 h and 1 t? 4/51 Three letters picked without replacement from {r: 16, p: 2}. What is prob of picking 3 r? 35/51 What is prob of picking 2 v when two letters picked without replacement from {p: 1, v: 3, w: 4, n: 1, o: 5}? 3/91 Three letters picked without replacement from {h: 12, e: 3}. What is prob of picking 1 e and 2 h? 198/455 What is prob of picking 2 l when two letters picked without replacement from opmlropplrop? 1/66 Three letters picked without replacement from {u: 1, f: 3, n: 1}. Give prob of picking 1 f and 2 n. 0 Two letters picked without replacement from qqqqqqtqtt. Give prob of picking 2 q. 7/15 Three letters picked without replacement from nzvyyvyazvzvkzkkavzz. What is prob of picking 1 v, 1 z, and 1 n? 1/38 Two letters picked without replacement from lmmmmmmlmml. What is prob of picking 2 m? 28/55 Calculate prob of picking 1 b and 3 p when four letters picked without replacement from {b: 2, p: 6}. 4/7 What is prob of picking 1 a, 1 w, and 1 v when three letters picked without replacement from nvdwwwwwwnavvvnndw? 7/204 What is prob of picking 2 c when two letters picked without replacement from cccuucuucuucuuccuc? 4/17 Calculate prob of picking 1 n and 3 v when four letters picked without replacement from {v: 7, k: 4, n: 2}. 14/143 Four letters picked without replacement from hhhhohyhokhhkh. What is prob of picking 1 y, 1 h, and 2 o? 9/1001 Three letters picked without replacement from cipcicppcpppccipiipc. What is prob of picking 1 p and 2 i? 4/57 Four letters picked without replacement from iaaaaidiidaigidi. What is prob of picking 2 d, 1 a, and 1 g? 3/364 Three letters picked without replacement from dqgddadlgcaddag. What is prob of picking 2 g and 1 a? 9/455 Four letters picked without replacement from afaaaaaffaaaaf. What is prob of picking 4 f? 1/1001 Three letters
{ "pile_set_name": "DM Mathematics" }
20636, 31935, 45744? 1255*t**2 + 4*t + 540 What is the j'th term of 302, 1187, 3586, 8255, 15950, 27427, 43442? 126*j**3 + j**2 + 175 What is the b'th term of -12790, -25629, -38468, -51307? -12839*b + 49 What is the v'th term of -317284, -317570, -317852, -318130? 2*v**2 - 292*v - 316994 What is the p'th term of 104171236, 208342473, 312513710? 104171237*p - 1 What is the x'th term of -26738, -26653, -26548, -26429, -26302, -26173, -26048, -25933? -x**3 + 16*x**2 + 44*x - 26797 What is the r'th term of 68015, 65949, 63883, 61817, 59751? -2066*r + 70081 What is the g'th term of 662551, 662551, 662561, 662587, 662635, 662711, 662821? g**3 - g**2 - 4*g + 662555 What is the c'th term of -34790, -139279, -313446, -557273, -870742, -1253835? 3*c**3 - 34857*c**2 + 61*c + 3 What is the d'th term of -2534042, -5068082, -7602122? -2534040*d - 2 What is the f'th term of -1981719, -3963299, -5944879? -1981580*f - 139 What is the l'th term of 4353, 10574, 16791, 23004, 29213, 35418, 41619? -2*l**2 + 6227*l - 1872 What is the r'th term of -31116, -27154, -23192, -19230? 3962*r - 35078 What is the g'th term of 2102, 1983, 1844, 1679, 1482? -g**3 - 4*g**2 - 100*g + 2207 What is the w'th term of 2281, 4360, 6457, 8572? 9*w**2 + 2052*w + 220 What is the u'th term of -2867622, -2867620, -2867618, -2867616? 2*u - 2867624 What is the t'th term of 2983271, 5966532, 8949793? 2983261*t + 10 What is the x'th term of -563613, -564116, -565473, -568110, -572453, -578928, -587961, -599978? -71*x**3 - x**2 - 3*x - 563538 What is the p'th term of -190, 169, 802, 1727, 2962, 4525, 6434, 8707? 3*p**3 + 119*p**2 - 19*p - 293 What is the k'th term of -50170, -100403, -150636? -50233*k + 63 What is the f'th term of 112157, 112242, 112375, 112550, 112761, 113002, 113267? -f**3 + 30*f**2 + 2*f + 112126 What is the x'th term of -1481, -2361, -3781, -5741, -8241? -270*x**2 - 70*x - 1141 What is the u'th term of -2200631, -4401252, -6601873? -2200621*u - 10 What is the z'th term of -461175, -1844875, -4151101, -7379853, -11531131, -16604935? -461263*z**2 + 89*z - 1 What is the i'th term of 4116, 16836, 38164, 68106, 106668, 153856? i**3 + 4298*i**2 - 181*i - 2 What is the j'th term of -327561, -327561, -327551, -327525, -327477, -327401, -327291? j**3 - j**2 - 4*j - 327557 What is the n'th term of -461222, -922452, -1383688, -1844930? -3*n**2 - 461221*n + 2 What is the u'th term of 248195, 248188, 248173, 248150? -4*u**2 + 5*u + 248194 What is the z'th term of -9462587, -9462590, -9462593? -3*z - 9462584 What is the c'th term of 1573, 6288, 19065, 43936, 84933, 146088, 231433? 672*c**3 - c**2 + 14*c + 888 What is the q'th term of -6098907, -6098905, -6098901, -6098895, -6098887, -6098877, -6098865? q**2 - q - 6098907 What is the s'th term of -3413382, -13653432, -30720182, -54613632, -85333782, -122880632? -3413350*s**2 - 32 What is the i'th term of -3865433, -7729481, -11593517, -15457535, -19321529, -23185493, -27049421? i**3 - 3864055*i - 1379 What is the b'th term of -41, -473, -1697, -4127, -8177, -14261? -69*b**3 + 18*b**2 - 3*b + 13 What is the a'th term of -1719, -3347, -4967, -6573, -8159, -9719? a**3 - 2*a**2 - 1629*a - 89 What is the b'th term of 96614966, 96614963, 96614960, 96614957, 96614954? -3*b + 96614969 What is the g'th term of -320, -683, -1132, -1709, -2456? -7*g**3 - g**2 - 311*g - 1 What is the l'th term of -19989, -19233, -18477, -17721? 756*l - 20745 What is the t'th term of -435201, -435100, -434999? 101*t - 435302 What is the p'th term of -3255881, -3255882, -3255883? -p - 3255880 What is the n'th term of -103659, -104080, -104781, -105762, -107023, -108564? -140*n**2 - n - 103518 What is the k'th term of 61576, 123002, 184102, 244714, 304676, 363826, 422002, 479042? -27*k**3 - k**2 + 61618*k - 14 What is the v'th term of 23184, 23255, 23414, 23691, 24116, 24719, 25530? 5*v**3 + 14*v**2 - 6*v + 23171 What is the m'th term of -1342, -2825, -4478, -6337, -8438? -6*m**3 - 49*m**2 - 1294*m + 7 What is the p'th term of 580, 9809, 19038, 28267, 37496, 46725? 9229*p - 8649 What is the p'th term of -39646, -79308, -118992, -158704, -198450, -238236, -278068? -p**3 - 5*p**2 - 39640*p What is the w'th term of -5475507, -5475506, -5475495, -5475468, -5475419, -5475342? w**3 - w**2 - 3*w - 5475504 What is the m'th term of 395, 157, -183, -619, -1145, -1755, -2443, -3203? m**3 - 57*m**2 - 74*m + 525 What is the h'th term of 8189858, 8189842, 8189826, 8189810, 8189794? -16*h + 8189874 What is the q'th term of 1145, 4837, 11281, 20711, 33361, 49465? 39*q**3 + 1142*q**2 - 7*q - 29 What is the m'th term of -1264, -679, 278, 1607, 3308? 186*m**2 + 27*m - 1477 What is the r'th term of 5101, 10076, 15035, 19978, 24905? -8*r**2 + 4999*r + 110 What is the u'th term of 10655, 42595, 95837, 170375, 266203, 383315, 521705? -u**3 + 10657*u**2 - 24*u + 23 What is the f'th term of -4392, -67755, -249066, -607299, -1201428, -2090427, -3333270, -4988931? -9829*f**3 + 5440*f - 3 What is the a'th term of -12, -12, 86, 336, 792, 1508, 2538, 3936? 9*a**3 - 5*a**2 - 48*a + 32 What is the t'th term of -3719, -7604, -11489, -15374, -19259? -3885*t + 166 What is the c'th term of 844, 6865, 23196, 54991, 107404, 185589, 294700? 859*c**3 + c**2 + 5*c - 21 What is the s'th term of -846414, -1691809, -2537218, -3382647, -4228102? -s**3 - s**2 - 845385*s - 1027 What is the k'th term of 6665721, 13331462, 19997205, 26662950? k**2 + 6665738*k - 18 What is the w'th term of 83082091, 83082093, 83082095, 83082097, 83082099, 83082101? 2*w + 83082089 What is the k'th term of -1722253, -1722247, -1722227, -1722187, -1722121, -1722023, -1721887? k**3 + k**2 - 4*k - 1722251 What is the h'th term of -1149, -7106, -17035, -30936, -48809, -70654, -96471? -1986*h**2 + h + 836 What is the g'th term of 100667, 201012, 301357, 401702, 502047? 100345*g + 322 What is the o'th term of 85504, 85517, 85534, 85555, 85580, 85609, 85642? 2*o**2 + 7*o + 85495 What is the w'th term of 1235, 3814, 10819, 24464, 46963, 80530? 369*w**3 - w**2 - w + 868 What is the p'th term of 1373820, 2747645, 4121474, 5495307, 6869144? 2*p**2 + 1373819*p - 1 What is the d'th term of -3454293, -3454341, -3454387, -3454431? d**2 - 51*d - 3454243 What is the w'th term of -4286, -8273, -12260, -16247, -20234, -24221? -3987*w - 299 What is the n'th term of 4112, 8256, 12438, 16670, 20964, 25332? 2*n**3 + 7*n**2 + 4109*n - 6 What is the i'th term of 2019393, 2019401, 2019409, 2019417? 8*i + 2019385 What is the d'th term of 4164, 2925, 1686? -1239*d + 5403 What is the n'th term of 17869, 25526, 33183, 40840, 48497? 7657*n + 10212 What is the u'th term of 1035, 7494, 18273, 33384, 52839, 76650? 2*u**3 + 2148*u**2 + u - 1116 What is the l'th term of 38379, 38964, 39539, 40098, 40635, 41144, 41619, 42054? -l**3 + l**2 + 589*l + 37790 What is the l'th term of -5436, -5496, -5580, -5700, -5868, -6096, -6396? -2*l**3 - 46*l - 5388 What is the h'th term of -11884114, -11884138, -11884162? -24*h - 11884090 What is the r'th term of -3768, -15609, -35556, -63609? -4053*r**2 + 318*r - 33 What is the d'th term of 41, -265, -605, -997, -1459, -2009? -3*d**3 + d**2 - 288*d + 331 What is the a'th term of 77574, 77554, 77512, 77442, 77338, 77194, 77004, 76762? -a**3 - 5*a**2 + 2*a + 77578 What is the m'th term of 5350591, 5350584, 5350571, 5350552, 5350527, 5350496? -3*m**2 + 2*m + 5350592 What is the p'th term of 206241635, 412483266, 618724897? 206241631*p + 4 What is the s'th term of -3664, -3756, -3828, -3880, -3912, -3924, -3916? 10*s**2 - 122*s - 3552 What is the b'th term of 9868, 7393, 3262, -2531, -9992, -19127, -29942, -42443? -b**3 - 822*b**2 - 2*b + 10693 What is the y'th term of -136931, -136747, -136563, -136379? 184*y - 137115 What is the l'th term of -40398, -76491, -112584, -148677, -184770? -36093*l - 4305 What is the d'th term of 45598, 91336, 137124, 182962, 228850, 274788? 25*d**2 + 45663*d - 90 What is the b'th term of 2602, 10232, 22938, 40726, 63602? b**3 + 2532*b**2 + 27*b + 42 What is the q'th term of 6588001, 13176017, 19764049, 26352097, 32940161? 8*q**2 + 6587992*q + 1 What is the h'th term of 4077476, 8154947, 12232418, 16309889, 20387360? 4077471*h + 5 What is the c'th term of -3912, -1474, 2590, 8280, 15596, 24538? 813*c**2 - c
{ "pile_set_name": "DM Mathematics" }
1539617 + 1539617. -8*h**3 Collect the terms in 187 + 28*h - 157 - 30. 28*h Collect the terms in 8770600 - 8770600 - 17*m. -17*m Collect the terms in 953*t**3 - 1395*t**3 + 445*t**3. 3*t**3 Collect the terms in -5232727 - 3*t + 5232727 + 5*t. 2*t Collect the terms in 530 - 3*r - 65*r**3 - 530 + 200*r**3. 135*r**3 - 3*r Collect the terms in -5*m**3 + 9*m**3 + 6*m + 132 - 6*m. 4*m**3 + 132 Collect the terms in -25*i**3 + 131*i**3 - 51*i**3 - 50*i**3. 5*i**3 Collect the terms in 17 + 9*z + 16*z + z - 3*z - 34*z + 9*z. -2*z + 17 Collect the terms in 54 - a + 78 - 187 + 53 + 6*a. 5*a - 2 Collect the terms in 185 + w**3 - 9*w**3 + 197 - 382. -8*w**3 Collect the terms in 3*j**2 + 7*j + 4*j**2 - 13*j**2 + 8*j**2 + 0*j**2. 2*j**2 + 7*j Collect the terms in -1024*x**3 + 8245*x**3 - 4*x**2 + 4*x**2. 7221*x**3 Collect the terms in 20 + 1 + 4*v - 6 - 9 + v. 5*v + 6 Collect the terms in -415 - 68*p + 206 + 520*p + 209. 452*p Collect the terms in -267*t**2 - 196*t**2 - 197*t**2 - 57*t**2. -717*t**2 Collect the terms in -21*u + 53*u + 8*u + 46*u. 86*u Collect the terms in -878975 + 358*z + 878975. 358*z Collect the terms in 1139*m**3 - 3107*m**3 - 1 + 1. -1968*m**3 Collect the terms in 120 - 6*q**2 - 57 - 30 - 37. -6*q**2 - 4 Collect the terms in -6*c**3 - 11*c**3 - 7*c**3 + 3*c**3. -21*c**3 Collect the terms in -6 - 34*n - 29*n - 43*n + 7*n. -99*n - 6 Collect the terms in -14*u**2 + 0*u - 2*u**2 - 4*u**2 - 2*u. -20*u**2 - 2*u Collect the terms in 299*b - 50*b - 78*b - b**2 - 57*b. -b**2 + 114*b Collect the terms in 3*i**2 + 9 - 63*i - 25 - 4*i**2. -i**2 - 63*i - 16 Collect the terms in 27*v - 59 - 62 - 68 - 69 + 260. 27*v + 2 Collect the terms in 69 - 37 - 32 + 3318*k + 1749*k. 5067*k Collect the terms in -7*u**2 + 10015*u**3 - 2078*u**3 + 7*u**2. 7937*u**3 Collect the terms in 14*h**3 - 4*h**3 + 724*h - 724*h. 10*h**3 Collect the terms in 144 - 45 - 4*z - 45 - 54. -4*z Collect the terms in -277*l + 820*l - 276*l - 260*l. 7*l Collect the terms in -22*f**2 - 8*f**2 + 87*f**2 - 27*f**2 - 29*f**2. f**2 Collect the terms in 22997*u - 7663*u - 7649*u - 7661*u. 24*u Collect the terms in -43*z**2 - 13 - 33*z**2 + 17*z**2. -59*z**2 - 13 Collect the terms in 503321*g**3 - 1006659*g**3 + 503340*g**3. 2*g**3 Collect the terms in 2 - 6 + 25667*n**2 + 1 - 25655*n**2. 12*n**2 - 3 Collect the terms in 0*p**2 + 193 + 187 + p**2. p**2 + 380 Collect the terms in 38*o**2 + 34*o**2 + 22*o + 10*o - 32*o. 72*o**2 Collect the terms in 4 + 7 - 31*z - 53*z - 7 - 3. -84*z + 1 Collect the terms in -97 - 3192*c + 49 + 48. -3192*c Collect the terms in 5*y + 9*y + 16*y - 1 + 1 - 35*y. -5*y Collect the terms in -33*p + 14 - 1 + 5. -33*p + 18 Collect the terms in 10821*j - 5420*j - 5401*j - 6*j**3. -6*j**3 Collect the terms in -404*r**2 + 619 - 619. -404*r**2 Collect the terms in 3*x + 46*x**2 - x + 213*x**2 - 8 - 3*x. 259*x**2 - x - 8 Collect the terms in -481*i + 2 + 3 - 5. -481*i Collect the terms in 74*l**3 - 120*l + 120*l. 74*l**3 Collect the terms in -32307*h**3 - 32301*h**3 + 64605*h**3. -3*h**3 Collect the terms in 22360*j**2 - 11053*j**2 - 11323*j**2. -16*j**2 Collect the terms in -11 + 12 - 54 + 0*j + 18 + 2*j. 2*j - 35 Collect the terms in -633*x**2 - 81 - 102 - 81 + 264. -633*x**2 Collect the terms in 497 - 487 - 5*z - 22*z - 2*z. -29*z + 10 Collect the terms in 1 + 416090*i**2 - 114557*i**2 + 0 + i. 301533*i**2 + i + 1 Collect the terms in 6*b**2 - 96 - 6*b**2 - 177 + 5*b**2. 5*b**2 - 273 Collect the terms in -40*d + 11*d**2 - 11*d**2 + 437*d**3. 437*d**3 - 40*d Collect the terms in -10*h + 25274 - 25271 + 9*h. -h + 3 Collect the terms in -2*g**3 + 93*g - 5*g**2 - 107*g - 47*g**2. -2*g**3 - 52*g**2 - 14*g Collect the terms in -247*q**2 + 457*q**2 - 237*q**2. -27*q**2 Collect the terms in 3890*j + 1428*j**2 - 3890*j. 1428*j**2 Collect the terms in 330*r - 330*r - 49*r**2. -49*r**2 Collect the terms in -10500*f**2 - 10498*f**2 + 20989*f**2. -9*f**2 Collect the terms in -128471*s + 256949*s - 128473*s. 5*s Collect the terms in 5682422105 - 5682422105 + 2*x. 2*x Collect the terms in 193 - 95 + 2819*v**2 - 98. 2819*v**2 Collect the terms in -19*d**2 + 118*d + 0 - 115*d + 0. -19*d**2 + 3*d Collect the terms in 18*j - 100 - 22*j - 7*j + 100 + 9*j. -2*j Collect the terms in 0*q**2 + 0*q**2 + 1689441*q**3 - 1689438*q**3. 3*q**3 Collect the terms in -282 - 318 - 5*m + 600. -5*m Collect the terms in 57*z**3 + 88*z**3 + 71*z**3 - 139*z**3. 77*z**3 Collect the terms in 144*c**2 + 269*c**2 + 18*c**2 + 106*c**2 - 1. 537*c**2 - 1 Collect the terms in 645*g + 1046*g + 674*g. 2365*g Collect the terms in -27 + 778*l + 27. 778*l Collect the terms in -73*f**2 - 59*f**2 - 67*f**2 + 195*f**2. -4*f**2 Collect the terms in -37*i + 72*i - 36*i + 1225. -i + 1225 Collect the terms in -399*b - 393*b - 404*b + 1604*b - 405*b. 3*b Collect the terms in 60*v**2 + 73*v**2 - 143*v**2 - 18*v**3. -18*v**3 - 10*v**2 Collect the terms in 304*v**2 + 697*v**2 + 30*v**2 - 86*v**2. 945*v**2 Collect the terms in -1 + 3*x + 3 - 283*x**2 + 38*x**2 - 327*x**2. -572*x**2 + 3*x + 2 Collect the terms in -17*l**3 + 667286*l**2 - 667286*l**2. -17*l**3 Collect the terms in -47*i**2 - 91*i**2 + 50*i**2 - 125*i**2 - 23*i**2. -236*i**2 Collect the terms in 20 + 20 - 40 + 642*n. 642*n Collect the terms in 29*u**3 - 35*u**3 + 2*u**2 - 25*u**3 - 2*u**2 + 33*u**3. 2*u**3 Collect the terms in -1562*d**2 + 3107*d**2 - 1547*d**2. -2*d**2 Collect the terms in 3259343709 + 4*j**3 - 3259343709 - 5*j**3. -j**3 Collect the terms in 29*u**3 + 23084*u**2 - 11549*u**2 - 11535*u**2. 29*u**3 Collect the terms in -134*d**2 - 3*d**2 + 0*d**2 + 2*d - 84*d**2. -221*d**2 + 2*d Collect the terms in 2359*g**3 + 2213*g**3 - 1299*g**3. 3273*g**3 Collect the terms in 709046 - 62*w**3 - 709046. -62*w**3 Collect the terms in 3 + 4 - 5 + 4 - 1 + 18*c**3. 18*c**3 + 5 Collect the terms in x + 16*x - 11 + 6*x - 6. 23*x - 17 Collect the terms in -2*i**3 + 2*i + 22*i**2 - 18*i**2 - 3*i**2 - 8*i**2 + 7*i**2. -2*i**3 + 2*i Collect the terms in -125 + 125 + 846*a**2. 846*a**2 Collect the terms in -39*u - 2*u**3 - u**3 + 42*u. -3*u**3 + 3*u Collect the terms in -98*y**2 + 219*y**2 - 75*y**2. 46*y**2 Collect the terms in -456*o**3 - 79*o**3 + 2*o - 159*o**3 + 3. -694*o**3 + 2*o + 3 Collect the terms in 7424*p**2 - 7424*p**2 + 66*p**3 - 36*p**3. 30*p**3 Collect the terms in -3731 + 632*n + 3731. 632*n Collect the terms in -10 + 50*t**3 + 14*t**3 + 10 + 0*t**3. 64*t**3 Collect the terms in -38080*t**3 - 38063*t**3 + 76128*t**3. -15*t**3 Collect the terms in 5*l**2 + 2*l**2 - 22*l**3 + 38*l**3 - 7*l**2. 16*l**3 Collect the terms in -29*w - 78*w - w**2 + 4*w**2 + 126*w + 0*w**2. 3*w**2 + 19*w Collect the terms in 23*p**2 - 94*p**2 - 4 - 3. -71*p**2 - 7 Collect the terms in -4 - 246*a + 4 + 984*a. 738*a Collect the terms in -5087*s + 2363*s + 2726*s. 2*s Collect the terms in 57*y - 126*y + 69*y + 2 - 305*y**2. -305*y**2 + 2 Collect the terms in 0 - 122942*o**3 + 0 + 15632*o**3. -107310*o**3 Collect the terms in 387*p + 350*p - 783*p. -46*p Collect the terms in 195*q**3 - 398*q**3 - 2*q + 7*q + 188*q**3. -15*q**3 + 5*q Collect the terms in -239*y**2 - 164*y**2 + 492*y**2. 89*y**2 Collect the terms in -354*n**2 - 15*n**2 + 393*n**2. 24*n**2 Collect the terms in -77*u**2 + 21*u**2 + 26*u**2 + 23*u**2. -7*u**2 Collect the terms in 3*v**3 - 18*v + 4*v**3 + 3*v**3 - 7 + v**3. 11*v**3 - 18*v - 7 Collect the terms in 30444*n**2 + 5 - 5 - 15566*n**2 - 14875*n**2. 3*n**2 Collect the terms in -192513 + 192513 - 413*i**2. -413*i**2 Collect the terms in -51280 - 18*o + 51280. -18*o Collect the terms in -56*q - 28 - 13 + 15*q + 4 + 39*q. -2*q - 37 Collect the terms in -11 - x + 1110*x**3 + 15 + 12 - 16. 1110*x**3 - x Collect the terms in -6 + 601*w + 5 + 4054*w. 4655*w - 1 Collect the terms in 437*o**2 + 278*o**2 - 217*o**2. 498*o**2 Collect the terms in -4*s**3 - 15001*s + 11 + 15001*s. -4*s**3 + 11 Collect the terms in -517 + 1619 + 2*b - 547 - 555. 2*b Collect the terms in -207 + 100 - 357*l**2 + 107. -357*l**2 Collect the terms in 12*v - 380096 + 380096. 12*v Collect the terms in -96 - t**2 - 3*t - 1299 - 705 + 264. -t**2 - 3*t - 1836 Collect the terms in -6293*d**3 + 9738*d**3 - d + d. 3445*d**3 Collect the terms in -5*s + 5*s + 973875*s**2. 973875*s**2 Collect the terms in -3*o
{ "pile_set_name": "DM Mathematics" }
e j'th term of 2303, 2304, 2305, 2306, 2307? j + 2302 What is the s'th term of -22, -69, -140, -235, -354, -497, -664? -12*s**2 - 11*s + 1 What is the q'th term of 2376, 2373, 2370, 2367, 2364, 2361? -3*q + 2379 What is the b'th term of -27, 16, 59, 102? 43*b - 70 What is the h'th term of 53, 106, 159, 212, 265? 53*h What is the y'th term of 187, 176, 153, 112, 47, -48, -179, -352? -y**3 - 4*y + 192 What is the p'th term of 15, 20, 35, 66, 119, 200, 315, 470? p**3 - p**2 + p + 14 What is the q'th term of 13232, 13229, 13224, 13217? -q**2 + 13233 What is the p'th term of -5, 3, 11, 19, 27, 35? 8*p - 13 What is the q'th term of -7, -11, -15, -19, -23? -4*q - 3 What is the i'th term of 31, 49, 53, 37, -5? -i**3 - i**2 + 28*i + 5 What is the p'th term of 291, 335, 409, 513, 647, 811, 1005? 15*p**2 - p + 277 What is the s'th term of 47, 104, 161, 218, 275, 332? 57*s - 10 What is the c'th term of -1872, -3734, -5596, -7458? -1862*c - 10 What is the j'th term of -12, -50, -114, -204, -320? -13*j**2 + j What is the t'th term of 87, 198, 313, 432, 555, 682? 2*t**2 + 105*t - 20 What is the w'th term of 145, 147, 149? 2*w + 143 What is the o'th term of -38, -61, -86, -113, -142, -173? -o**2 - 20*o - 17 What is the p'th term of 4098, 8194, 12290, 16386? 4096*p + 2 What is the f'th term of -136, -262, -392, -526? -2*f**2 - 120*f - 14 What is the c'th term of 40, 51, 68, 97, 144, 215, 316, 453? c**3 - 3*c**2 + 13*c + 29 What is the y'th term of 3308, 6617, 9926? 3309*y - 1 What is the n'th term of 4865, 4866, 4867, 4868? n + 4864 What is the z'th term of 103, 207, 311, 415? 104*z - 1 What is the n'th term of 558, 1117, 1676? 559*n - 1 What is the w'th term of -17, -13, -3, 13, 35, 63? 3*w**2 - 5*w - 15 What is the o'th term of -16864, -33728, -50594, -67462, -84332? -o**2 - 16861*o - 2 What is the c'th term of 3773, 3772, 3771? -c + 3774 What is the y'th term of -16, -24, -36, -52, -72? -2*y**2 - 2*y - 12 What is the k'th term of 109, 215, 319, 421? -k**2 + 109*k + 1 What is the u'th term of -49, -67, -113, -199, -337, -539, -817, -1183? -2*u**3 - 2*u**2 + 2*u - 47 What is the t'th term of -1454, -2902, -4350, -5798, -7246? -1448*t - 6 What is the y'th term of 66, 171, 318, 501, 714, 951? -y**3 + 27*y**2 + 31*y + 9 What is the n'th term of 14440, 14441, 14442? n + 14439 What is the w'th term of -118, -364, -774, -1348, -2086? -82*w**2 - 36 What is the d'th term of -23, 5, 79, 223, 461? 4*d**3 - d**2 + 3*d - 29 What is the m'th term of 36, 31, 26, 21, 16, 11? -5*m + 41 What is the b'th term of -372, -755, -1140, -1527, -1916, -2307? -b**2 - 380*b + 9 What is the c'th term of 167, 352, 537, 722, 907? 185*c - 18 What is the v'th term of -14, 50, 146, 268, 410? -v**3 + 22*v**2 + 5*v - 40 What is the g'th term of 47, 43, 25, -13, -77? -g**3 - g**2 + 6*g + 43 What is the q'th term of 3, 6, 29, 84, 183, 338, 561, 864? 2*q**3 - 2*q**2 - 5*q + 8 What is the a'th term of 110, 136, 176, 236, 322, 440? a**3 + a**2 + 16*a + 92 What is the r'th term of -69, -41, 5, 69, 151? 9*r**2 + r - 79 What is the x'th term of 12, 24, 36? 12*x What is the u'th term of 149, 156, 165, 176, 189, 204? u**2 + 4*u + 144 What is the m'th term of 56, 40, -6, -94, -236, -444, -730, -1106? -2*m**3 - 3*m**2 + 7*m + 54 What is the f'th term of 311, 591, 873, 1157, 1443? f**2 + 277*f + 33 What is the a'th term of -1602, -3204, -4806, -6408, -8010, -9612? -1602*a What is the i'th term of -81, -326, -743, -1338, -2117? -i**3 - 80*i**2 + 2*i - 2 What is the b'th term of -1180, -1179, -1178, -1177, -1176? b - 1181 What is the s'th term of 187, 187, 185, 181? -s**2 + 3*s + 185 What is the s'th term of 62, 110, 146, 164, 158, 122? -s**3 + 55*s + 8 What is the j'th term of -4998, -4999, -5000, -5001? -j - 4997 What is the i'th term of -23, -68, -161, -326, -587, -968? -4*i**3 - 17*i - 2 What is the l'th term of 3, -3, -13, -27? -2*l**2 + 5 What is the u'th term of -2, 60, 136, 232, 354, 508, 700? u**3 + u**2 + 52*u - 56 What is the u'th term of -3238, -3230, -3236, -3262, -3314, -3398, -3520, -3686? -u**3 - u**2 + 18*u - 3254 What is the u'th term of -248, -504, -760, -1016, -1272, -1528? -256*u + 8 What is the r'th term of 1046, 1045, 1044, 1043? -r + 1047 What is the p'th term of -6, 14, 58, 138, 266, 454? 2*p**3 + 6*p - 14 What is the z'th term of -1242, -2485, -3726, -4965? z**2 - 1246*z + 3 What is the o'th term of -63, -74, -85, -96, -107? -11*o - 52 What is the v'th term of -11, -102, -273, -524, -855, -1266? -40*v**2 + 29*v What is the d'th term of 212, 244, 306, 404, 544, 732? d**3 + 9*d**2 - 2*d + 204 What is the t'th term of 13, 20, 33, 52, 77, 108? 3*t**2 - 2*t + 12 What is the m'th term of -12, -21, -30, -39, -48? -9*m - 3 What is the p'th term of -95, -97, -99? -2*p - 93 What is the t'th term of 36, 54, 98, 180, 312, 506? 2*t**3 + t**2 + t + 32 What is the z'th term of 244, 485, 726, 967, 1208? 241*z + 3 What is the g'th term of -9, -30, -65, -120, -201? -g**3 - g**2 - 11*g + 4 What is the l'th term of -1878, -3753, -5626, -7497? l**2 - 1878*l - 1 What is the y'th term of -208, -418, -628, -838, -1048, -1258? -210*y + 2 What is the t'th term of -18, -8, 12, 48, 106, 192, 312, 472? t**3 - t**2 + 6*t - 24 What is the v'th term of -67, -63, -59, -55? 4*v - 71 What is the r'th term of -708, -707, -706, -705, -704? r - 709 What is the t'th term of 2355, 2351, 2345, 2337, 2327? -t**2 - t + 2357 What is the o'th term of 214, 440, 668, 898, 1130, 1364, 1600? o**2 + 223*o - 10 What is the w'th term of -299, -908, -1915, -3314, -5099? w**3 - 205*w**2 - w - 94 What is the w'th term of 10552, 42205, 94966, 168841, 263836, 379957? w**3 + 10548*w**2 + 2*w + 1 What is the g'th term of -13, -54, -121, -214, -333, -478, -649? -13*g**2 - 2*g + 2 What is the u'th term of 17, 205, 707, 1679, 3277, 5657, 8975? 26*u**3 + u**2 + 3*u - 13 What is the l'th term of -188, -372, -558, -746, -936? -l**2 - 181*l - 6 What is the w'th term of -9414, -9410, -9404, -9396, -9386? w**2 + w - 9416 What is the z'th term of -32, 17, 172, 493, 1040, 1873, 3052? 10*z**3 - 7*z**2 - 35 What is the o'th term of -261, -535, -823, -1125, -1441? -7*o**2 - 253*o - 1 What is the m'th term of 250, 474, 696, 916, 1134, 1350? -m**2 + 227*m + 24 What is the a'th term of -67, -74, -99, -154, -251, -402, -619, -914? -2*a**3 + 3*a**2 - 2*a - 66 What is the w'th term of 7, 37, 91, 169, 271, 397? 12*w**2 - 6*w + 1 What is the c'th term of -3066, -3076, -3100, -3144, -3214, -3316, -3456, -3640? -c**3 - c**2 - 3064 What is the l'th term of -658, -1320, -1982? -662*l + 4 What is the y'th term of -7, -24, -41, -58, -75? -17*y + 10 What is the s'th term of 15504, 30984, 46454, 61908, 77340? -s**3 + s**2 + 15484*s + 20 What is the b'th term of 0, -6, -10, -12, -12? b**2 - 9*b + 8 What is the p'th term of -18, -23, -28, -33, -38? -5*p - 13 What is the i'th term of -309, -312, -315, -318? -3*i - 306 What is the u'th term of 0, -3, -10, -21, -36, -55, -78? -2*u**2 + 3*u - 1 What is the y'th term of 1219, 2441, 3663, 4885? 1222*y - 3 What is the f'th term of 839, 824, 785, 710, 587, 404, 149, -190? -2*f**3 - f + 842 What is the t'th term of -40, -55, -68, -79, -88? t**2 - 18*t - 23 What is the r'th term of 289, 608, 939, 1288, 1661? r**3 + 312*r - 24 What is the f'th term of 23, 18, 15, 14, 15, 18, 23? f**2 - 8*f + 30 What is the f'th term of -3, 6, 23, 48, 81? 4*f**2 - 3*f - 4 What is the s'th term of -325, -327, -329, -331, -333? -2*s - 323 What is the j'th term of 495, 983, 1473, 1965, 2459? j**2 + 485*j + 9 What is the w'th term of 45, 71, 113, 177, 269, 395, 561, 773? w**3 + 2*w**2 + 13*w + 29 What is the q'th term of -7, -29, -81, -181, -347, -597? -3*q**3 + 3*q**2 - 10*q + 3 What is the w'th term of 339, 344, 349, 354? 5*w + 334 What is the d'th term of 34, 47, 62, 85, 122, 179? d**3 - 5*d**2 + 21*d + 17 What is the r'th term of -1817, -1815, -1811, -1805, -1797, -1787, -1775? r**2 - r - 1817 What is the h'th term of -12, -24, -50, -96, -168, -272? -h**3 - h**2 - 2*h - 8 What is the h'th term of 9395, 9397, 9401, 9407? h**2 - h + 9395 What is the a'th term of -17, -34, -65, -116, -193, -302, -449, -640? -a**3 - a**2 - 7*a - 8 What is the o'th term of -9, -20, -27, -24, -5, 36, 105? o**3 - 4*o**2 - 6*o What is the c'th term of -76, -206, -320, -
{ "pile_set_name": "DM Mathematics" }
the greatest common factor of 2269182 and 786? 786 What is the highest common divisor of 8068 and 12? 4 Calculate the highest common divisor of 2475 and 3498. 33 Calculate the greatest common factor of 112518 and 18487. 133 What is the highest common factor of 1779196 and 856? 428 What is the greatest common factor of 88074 and 233? 233 Calculate the greatest common divisor of 2275 and 325. 325 What is the highest common divisor of 202174 and 98? 98 What is the highest common divisor of 21597 and 4163? 23 What is the highest common factor of 4 and 28708? 4 What is the greatest common divisor of 5307 and 12267? 87 What is the greatest common divisor of 11764 and 7276? 68 Calculate the greatest common factor of 143 and 4455. 11 What is the greatest common divisor of 1988608 and 2913? 971 What is the highest common divisor of 6837 and 24? 3 What is the greatest common factor of 2727 and 3537? 27 Calculate the greatest common divisor of 147 and 3. 3 Calculate the greatest common divisor of 208 and 3392. 16 Calculate the greatest common divisor of 33235 and 255. 85 Calculate the greatest common divisor of 1156 and 768. 4 What is the greatest common factor of 200817 and 1908? 477 Calculate the highest common divisor of 15326 and 553. 79 What is the greatest common factor of 186175 and 550? 275 What is the highest common divisor of 960776 and 56? 8 Calculate the greatest common divisor of 1364 and 47399. 341 Calculate the highest common factor of 315 and 6595785. 315 Calculate the greatest common divisor of 11576 and 34. 2 Calculate the greatest common factor of 113 and 270070. 113 What is the greatest common divisor of 145 and 816785? 145 What is the greatest common divisor of 131813 and 782? 23 What is the highest common factor of 8 and 78320? 8 What is the greatest common factor of 1800 and 1110? 30 What is the greatest common divisor of 297 and 1519650? 99 Calculate the greatest common divisor of 925 and 7750. 25 Calculate the highest common divisor of 37043 and 17. 17 What is the greatest common factor of 22841 and 56224? 1757 What is the greatest common divisor of 585 and 38655? 45 Calculate the highest common divisor of 760 and 9652. 76 Calculate the highest common factor of 126 and 6874. 14 Calculate the highest common factor of 17545 and 58. 29 What is the greatest common divisor of 7904 and 231296? 416 What is the highest common factor of 16464 and 299040? 336 Calculate the highest common factor of 740 and 3580. 20 Calculate the greatest common divisor of 95776 and 8938. 82 What is the greatest common factor of 49302 and 1056? 66 Calculate the greatest common divisor of 38296 and 24. 8 Calculate the greatest common factor of 3 and 106749. 3 Calculate the highest common factor of 227 and 1748581. 227 Calculate the greatest common factor of 17631 and 40486. 653 What is the greatest common divisor of 2059 and 116? 29 What is the greatest common divisor of 19823 and 387? 43 Calculate the highest common factor of 472252 and 44. 44 Calculate the highest common divisor of 211810 and 18. 2 Calculate the highest common divisor of 9913582 and 56. 14 What is the greatest common factor of 486 and 341154? 18 What is the greatest common factor of 1456 and 9646? 182 Calculate the greatest common factor of 5194 and 1007. 53 Calculate the greatest common factor of 18 and 31941. 9 What is the highest common factor of 96501 and 1938? 57 What is the highest common factor of 2475 and 2500? 25 Calculate the greatest common factor of 2138445 and 135. 45 Calculate the highest common factor of 452 and 488. 4 Calculate the highest common divisor of 78 and 3851653. 13 Calculate the highest common divisor of 2109217 and 44. 11 Calculate the highest common divisor of 20 and 914140. 20 Calculate the greatest common divisor of 316 and 2810820. 316 What is the greatest common factor of 43 and 24209? 43 What is the highest common divisor of 24929 and 1285? 257 What is the highest common factor of 192 and 27288? 24 What is the greatest common factor of 15151 and 2725? 109 Calculate the highest common factor of 59422 and 296. 74 What is the greatest common factor of 110688 and 960? 96 What is the greatest common divisor of 25466 and 476? 238 What is the highest common factor of 1171484 and 319? 29 Calculate the highest common divisor of 33 and 74217. 33 Calculate the highest common divisor of 784 and 28322. 98 What is the highest common factor of 4814 and 6806? 166 Calculate the highest common factor of 97 and 2841809. 97 Calculate the highest common factor of 308 and 3476. 44 Calculate the highest common divisor of 574 and 82164. 82 What is the greatest common factor of 204 and 51340? 68 Calculate the highest common factor of 3886 and 4. 2 Calculate the greatest common divisor of 40610 and 53010. 310 Calculate the highest common divisor of 150 and 1795650. 150 Calculate the greatest common factor of 8127158 and 26. 26 Calculate the highest common factor of 469 and 122878. 469 Calculate the greatest common factor of 1755 and 1625. 65 Calculate the highest common factor of 23033 and 124. 31 Calculate the greatest common factor of 20 and 1580. 20 What is the greatest common factor of 14 and 1551494? 14 Calculate the highest common divisor of 114 and 636177. 57 What is the highest common factor of 41408 and 6080? 64 Calculate the highest common factor of 11392 and 285512. 712 What is the highest common factor of 50154 and 4836? 78 What is the highest common factor of 89790 and 73? 73 Calculate the greatest common divisor of 42184 and 40. 8 What is the greatest common factor of 1444 and 22344? 76 Calculate the greatest common divisor of 235 and 18635. 5 Calculate the greatest common factor of 54021 and 99. 33 Calculate the greatest common divisor of 2080779 and 58. 29 Calculate the highest common divisor of 201900 and 200. 100 Calculate the highest common divisor of 51380 and 22387. 367 What is the greatest common factor of 570 and 10190? 10 What is the highest common factor of 385 and 87395? 385 What is the highest common factor of 21 and 29217? 3 What is the greatest common factor of 176 and 3443? 11 Calculate the highest common factor of 1260 and 912555. 315 Calculate the highest common factor of 1484074 and 4. 2 What is the greatest common factor of 28 and 6432734? 14 Calculate the highest common factor of 1776 and 33633. 111 Calculate the greatest common divisor of 30 and 32865. 15 Calculate the highest common divisor of 755 and 610. 5 Calculate the highest common divisor of 9630 and 1890. 90 Calculate the greatest common factor of 72897 and 726. 33 Calculate the greatest common factor of 7264 and 20448. 32 What is the greatest common divisor of 169760 and 480? 160 What is the highest common factor of 2145 and 1551? 33 Calculate the highest common divisor of 209829 and 69. 69 What is the greatest common divisor of 5290 and 460? 230 Calculate the highest common divisor of 73320 and 342630. 1410 Calculate the highest common factor of 1412 and 671053. 353 What is the highest common divisor of 576 and 15858? 18 Calculate the highest common divisor of 2444 and 223344. 188 What is the highest common factor of 1594 and 230? 2 What is the greatest common factor of 158 and 1094229? 79 What is the greatest common divisor of 1520 and 1216? 304 Calculate the greatest common divisor of 3628596 and 60. 12 Calculate the greatest common divisor of 68289 and 767. 13 What is the greatest common factor of 543708 and 36? 36 Calculate the highest common divisor of 12284 and 2656. 332 Calculate the highest common factor of 5454 and 21917. 101 Calculate the highest common factor of 363 and 3333. 33 Calculate the highest common divisor of 455 and 15960. 35 What is the greatest common divisor of 352 and 11168? 32 Calculate the greatest common divisor of 51552 and 27. 9 Calculate the greatest common divisor of 205 and 249649. 41 Calculate the highest common factor of 9185 and 594. 11 Calculate the highest common divisor of 8316 and 1001. 77 Calculate the highest common factor of 14973 and 24087. 651 Calculate the highest common divisor of 5254 and 1065. 71 What is the greatest common factor of 125 and 11455? 5 What is the highest common factor of 1509288 and 264? 264 Calculate the greatest com
{ "pile_set_name": "DM Mathematics" }
+ 3. Let p be t(-5). Solve 7*m + g*q = 4*m - 9, 0 = -2*m - p*q - 9 for m. 0 Suppose 6*r + 34 = 8*r. Solve x = -5*l - 10, r = 4*x - 3 for l. -3 Let n be (-1)/5 - 76/(-5). Let u = n + -10. Solve 2*c - 4*c - 2*y + 12 = 0, 0 = u*c - y for c. 1 Let u be -5 - 4/(12/(-27)). Solve 5*f + u*b + 11 = 2, -5*f = -3*b + 37 for f. -5 Let t = -44 + 46. Solve 7 = -3*i - 5*r, 2*i + t*r = -i - 1 for i. 1 Suppose 0 = -7*v + 38 + 18. Solve -3*b - t - 1 = 0, v = 2*b + 4*t + 2 for b. -1 Let d be ((0/(-5))/5)/1. Solve d*n - 5*n + 4*b - 15 = 0, -3*b + 13 = -2*n for n. 1 Let a = 7 - 4. Let x(m) = 13*m + 3. Let o be x(a). Suppose -13 = 5*l + 5*u - 43, -4*u - o = -2*l. Solve 3*g = 3*n + 4*g - 8, -4*n - g + l = 0 for n. 3 Suppose w = -3*l - 21 - 7, -3*l = -5*w - 68. Let y = w - -22. Let h be (-5)/((-75)/y)*10. Solve -2*d = h*p - d - 3, -5*p = 2*d - 6 for p. 0 Let a be 3/(-2)*(-8)/(-6). Let j be 3*a/(-10)*5. Suppose j*t - 20 = -t. Solve -5*x + 2 = 2*r, -t = r - 3*x + 5 for r. -4 Let i be (-2)/(-4) + (-7)/(-2). Let v be ((2 - -2) + 0)*2. Let f be v - ((0 - -1) + 1). Solve 0 = a + 4*c + f, a - i*c - 8 = 3*a for a. -2 Let d(k) = -k**3 + 5*k**2 + k - 1. Let c be d(5). Let q = c - -1. Solve 0 = -4*o + 20, q*s = 4*s - 4*o + 19 for s. -1 Let o be (6 + 88/(-8))*4/(-10). Solve 3*l - 9 = -0*j + o*j, -14 = 5*j + l for j. -3 Suppose 6*o - 20 = 4*o. Solve 6*w + o = 3*h + 5*w, 2*w = -4*h for h. 2 Let l = 0 + 5. Suppose 0 = 3*w - l*w. Let a(k) = -k**3 + 5*k**2 + 7*k - 6. Let r be a(6). Solve -4*s - 5*h = -31, r = 2*s - w*h - 5*h + 7 for s. 4 Let b(c) = 8*c + 3*c**2 + 3*c**2 + c**3 + 3*c**2. Let r be b(-8). Solve -2*n - 2*z = r, 2*n + z = -0*z for n. 0 Let z = -8 + 5. Let m(f) = -f + 1. Let t be m(z). Suppose -4*w = 2*k - 4, 3*w - 2*w = k - 17. Solve 4*r + k = 5*h, r - t*h + 2 = -1 for r. -3 Suppose 0 = 4*u - 4*z + 12, -4*u - 19 = -z + 4*z. Let a = 8 + u. Let d = -13 - -29. Solve 4 = y + 5*q + d, -5*y + 3*q - a = 0 for y. -2 Suppose n + 2 = 1. Let k be 1/(-1) - n/1. Suppose -3*i - i + 20 = k. Solve 0 = 5*z + 2*x - x + 7, -15 = -i*x for z. -2 Let u be (-2 - 0)/(-1) - -89. Suppose -4*g + 3*j = -u, 3*j - 100 = -5*g + 34. Solve g = 4*l - 5*l - 5*v, -2*l + 10 = -2*v for l. 0 Let c(i) = -i**2 + 29. Let p be (-1 - 3/(-3))*-1. Let v be c(p). Let m(f) = -f**2 + 3*f + 3. Let u be m(3). Solve 0 = w + u*b - 15, 4*b = -3*w - b + v for w. 3 Suppose -w = -4*w + 6. Let i(h) = 2*h**2 - 10*h + 8. Let r be i(6). Solve w = -m, 0*l + 4*l + 4*m = -r for l. -3 Let d(l) = 3*l**3 - 2*l - 2*l**3 + l**2 - 1 + 4 + 5*l**2. Let c be d(-6). Solve -4*n + 3*i + 31 = 0, 0*n + i - c = -5*n for n. 4 Suppose k + 16 - 20 = 0. Solve -2*b + 4*b - 11 = g, 2*g + k*b = 10 for g. -3 Let s be 2/(-3 - 1)*-24. Solve 3*g - 9 = -a, -3*g + s = g - a for g. 3 Let c(y) = y**3 + y**2 + y - 7. Let w be c(0). Let x = 2 - w. Solve -2*a = a + 3, 4*a + x = -5*i for i. -1 Let f be -1 - -4 - (-13)/(-1). Let x be 1/(((-4)/f)/2). Solve z = 3*n - 12 + 4, -x*n + 12 = -3*z for z. 1 Let b(l) = -2*l + 24. Let v be b(10). Solve -2*i = -3*t + i + 3, -v*t = 5*i - 31 for t. 4 Let b(i) be the third derivative of i**5/60 - i**4/24 + i**3/6 - i**2. Let x be b(0). Suppose 2*k - x = 17. Solve 4*t - 4*r + 3*r - k = 0, 3*t - 18 = 3*r for t. 1 Let l(p) = -p. Let k be l(-3). Solve -8 = 4*o - k*q, 0 = -6*q + 2*q + 16 for o. 1 Let s(w) = w**3 + 8*w**2 + 13*w + 11. Let d be s(-6). Solve -d*t + b + 24 = 0, -t - 4*b - 14 = -2 for t. 4 Let p(i) = i**2 + 4*i + 2. Let x be p(-4). Solve -3*d = z + 11, 0 = x*d - 3*d - 5*z + 15 for d. -5 Suppose 8 = -c + 4*d, 2*c = -3*d - 5 - 0. Let m(k) = -k**3 - 4*k**2 - 2*k. Let y be m(c). Solve 2*z - 4*g + 4 = 6*z, -4*g = y for z. 3 Suppose -i + 11 = 8. Solve i*p + 13 = 2*r, 0 = 5*p - 4*p + 5*r + 10 for p. -5 Suppose 5*d + 43 = 5*h + 3, 5*h - d - 24 = 0. Solve 4*s = 4*u + 1 - 9, -h*u = -3*s - 10 for s. 2 Let c = 17 + -8. Solve 6*h = -y + 3*h + c, -3*h = 5*y + 3 for y. -3 Let t = -20 + 22. Solve t*k - k = 3*b - 1, -5*k + 19 = -3*b for b. 2 Suppose -8 = -x - 4*z, 5 = -3*x - z + 18. Solve 3*g - 15 = 0, -4*m + x*g + 4 = 32 for m. -2 Suppose 5*f + 1 = 16. Suppose -5*u + 28 + f = 3*r, 2*u + 2 = 0. Solve 5*n - 2*b = -6*b - r, -5*b = -5*n + 15 for n. 0 Let x(o) = -o + 1. Suppose -3*g + 1 = 10. Let i be x(g). Suppose -2*w = -4 - i. Solve -5*z - w*y + 25 = 0, -z - 3*z = -2*y + 6 for z. 1 Let s = -50 + 34. Let p = s - -20. Solve -i = -4*v + 19, 0 = -5*i + 2*v - p*v + 15 for i. 1 Suppose -5*k + 5*m - 35 = -0*m, -2*m = 2*k - 6. Let q = 7 + k. Solve -w + 2 = 2*r, -2*w + 5*r - 19 + q = 0 for w. -2 Suppose 3*r - 16 = -2*u - 0*u, 2*r - u - 6 = 0. Suppose -15 = -2*g + x - 2, -3*g + 2 = 2*x. Let n = 11 - 8. Solve -r*d - 22 = f, -d - g = d - n*f for d. -5 Let r(h) = 2*h**2 + 1. Let j be r(-1). Solve -j*c - 22 = -2*m, -m - c - 29 = -6*m for m. 5 Let b(x) = 5*x - 9. Let o(i) = 5*i - 10. Let z(a) = 6*b(a) - 5*o(a). Let s be z(4). Solve y + 10 = -q, 0 = -q - 3*y - s - 4 for q. -5 Suppose -o = 4*o. Solve 0*w - 2*d + 10 = 5*w, -w - 2*d - 6 = o for w. 4 Let p = 8 - -2. Suppose 4*q - p = -2. Solve y - 2*z = -q, z - 2*z = -3*y + 9 for y. 4 Let g = 3 + -3. Solve g = 2*b + 3*h + 5, 2*b - 20 = h + h for b. 5 Let c = 8 - -16. Let b(z) = -z**3 + 10*z**2 - 10*z + 11. Let v be b(9). Suppose 0 = -v*k + 4 + 2. Solve 4*d + 4*h = -c, -21 = k*d + 4*h + 1 for d. -2 Suppose -9*b + 4*b = -4*c + 146, -6 = 3*b. Let o = -9 + 9. Let d be o*(8/(-3) - -3). Solve c = -4*y + 4*i + 6, d = -i + 3 for y. -4 Let y = 12 + -14. Let j(f) = -9*f - 6. Let u be j(y). Solve o - 2*h = -0*o - 4, 4*o - h - u = 0 for o. 4 Let f(j) = j**2 + 2*j + 1. Suppose 3*g + 1 = 2*g. Let z be f(g). Let t be 20/15*(-15)/(-2). Solve 0 = o + h - t, o - 4*h + 24 - 9 = z for o. 5 Let d = 2 + -2. Suppose -3*j = -d*j - 6. Suppose f = -3*f + 8. Solve f*y = -2*v + j, -3*v - 3 = y + 2*v for y. 2 Suppose 9 = -m + 4*m. Suppose -m*z + 0*z + 5*q + 34 = 0, 0 = 4*q + 20. Solve -4*x = -4*i, -6*i = -x - z*i - 6 for x. 3 Suppose -5*l = -2*l. Suppose 9*d = 4*d + 165. Let u be d/7 + 4/14. Solve u*i - b - 5 = l, 2*i + 5*b - 1 = i for i. 1 Let n(r) = -7*r - 2. Let o be n(-1). Solve 2*a - 5*d = -0*a + 3, -5*d = -o*a + 15 for a. 4 Let w(z) = 0*z + 6*z + 0*z + 1. Let s be w(1). Solve -3*h = o + 12, h - 4*o + 10 + s = 0 for h. -5 Suppose 3*j + 8 - 23 = 0. Solve -g = 2*g - j*u + 29, 0 = -5*g - u - 11 for g. -3 Let m = -44 + 47. Solve -m*o - t = -2, -o = -3*o + t + 3 for o. 1 Let x = 26 - -23. Suppose 3*s + z = x, -2*z = s - 0*z - 8. Solve -3*d = p - 13, -2*p + 3*p = -4*d + s for d. 5 Suppose -3*f - 20 = -4*d, -5*f + 8 = 2*d - 2. Solve 0 = -5*b - d, l - 3*b - 2 = 6 for l. 5 Let o(l) = -l**3 + 4*l**2 - 3*l + 2. Let k be o(2). Suppose 0 = 2*v - 6*v + 8. Let s = 23 + -2. Solve v*x + k*h + 3 - s = 0, -x + h - 6 = 0 for x. -1 Let d(v) = -2*v + 19. Let s be d(7). Solve 5*f + 2 = s*m + 7, 16 = 4*f for m. 3 Suppose 6 = -3*d + 3*n, -3*d - n - 2 = -3*n. Suppose d = -3*w - 2*q, 2*q + 4 = q. Solve -w*v + 4*m = -12, v - 2*v - 2*m - 10 = 0 for v. -2 Suppose -4*c = -3*t - 61, 0 = -t + 3 + 2. Solve 2*a - 23 = -3*f, 3*f - 6*f - a = -c for f. 5 Suppose 4*d + 5*i - 1 + 5 = 0, 3*i = 3*d - 24. Suppose -4*y + 8*y - 3 = 3*x, -2*x = d*y - 18. Solve 5*l = 3*j - 6, -3*l + y*j - 18 = 6*j for l. -3 Suppose 2*d + 0*d - 10 = o, 0 = -o - 4. Solve q - 3 = y, y - 2*y - d = 5*q for y. -3 Let g(y) = y**3 - 10*y**2 + 13*y + 39. Let j be g(8). Suppose -2*b + 30 = 3*b. Solve w + j = -4*t, 3*t = -2*w + b*w - 16 for t. -4 Suppose -9*f - 20 = -10*f. Solve -16 = -2*n - n + 4*y, -3*n = -5*y - f for n. 0 Let z be (-4)/10 + 276/15. Let d = 102 + -101. Let l be 2 - (2 - 2 - 0). Solve -5*q + 2*t + z = 0, -d = 3*q + l*t + 1 for q. 2 Let b(r) = r**3 - 4*r**2 + 4*r - 3. Let m be b(3). Let j = 0 + 0. Suppose m*s - 2*s = j. Solve 5*y + 22 = 4*x + 2, s = 2*x - 3*y - 10 for x. 5 Let c = 23 - 9. Suppose -3*x + c = -4*y, y = -x - 2 + 9. Suppose 0 = 3*u - 4*r - 31, -u = -r - 1 - 8. Solve -b - 4 = j - u, x = -2*b - 4*j for b. 5 Suppose 5*t = 8*t - 9. Solve 2*g - 4*y = -10, -5 = -3*g + 2*g - t*y for g. -1 Suppose 0 = -4*j + 3*m + 37, 4*j + 7*m - 77 = 2*m. Let z = -15 - -19. Solve -s - 4*s + 2*y = 0, -y = z*s + j for s. -2 Let y be (-7)/2 + (-7)/14. Let r = 0 - y. Solve 16 = -4*i - n - 2, -4*i - 8 = -r*n for i. -4 Let v(n) = -n + 0*n**3 + 48*n**2 - 50*n**2 - 3*n**3. Let c be v(-1). Solve -25 = -4*p -
{ "pile_set_name": "DM Mathematics" }
? 11 What is (4/(-90))/((-413)/3717)? 2/5 Calculate (-8)/(-10)*600/(-13520)*-13. 6/13 Calculate ((-3)/(-30)*5)/(-12*325/(-2400)). 4/13 Calculate ((-60)/650)/(3/5). -2/13 Evaluate (2478/(-295))/((-114)/(-95)). -7 ((-612)/(-60))/(75/(-125)) -17 Calculate 20139/(-959)*5/2*(-8)/(-30). -14 What is the value of -18*(-43)/(-1806)*(-4)/(-3)? -4/7 Evaluate (4*(660/48)/(-5))/((-2)/(-4)). -22 What is -6*1/(-1)*2*5/(-210)? -2/7 Calculate 12/(-7)*((99/9)/(-11))/3. 4/7 What is the value of 2/6*10*(-5346)/(-1485)? 12 What is (-4590)/2040*((-6)/(-8))/((-27)/(-24))? -3/2 What is the value of ((1/(-2)*34)/2)/(156/(-312))? 17 What is the value of ((-9)/(-2))/3*(-3)/513*-38? 1/3 ((6890/156)/(-53))/(2/4) -5/3 Evaluate ((-1)/(-2*2))/(9*299/(-4968)). -6/13 ((-1)/28)/(24/(-144)) 3/14 What is the value of (19/3)/(31/(-93))? -19 (605/33)/(-11)*72/20 -6 Evaluate (35/(735/(-28)))/(6/(-9)*5). 2/5 What is (10*21/(-840))/(45/(-40))? 2/9 Calculate (442/75582)/((1*1/3)/2). 2/57 Calculate 3*(-15)/(-15)*2/(-30). -1/5 Calculate (-2*1/(-2))/((-17)/17)*-10. 10 What is (4/3)/((20/65)/((-4)/(-26)))? 2/3 ((7600/(-456))/(-50))/(1/(6*8)) 16 Calculate 1*3*((-11)/(-330)*12)/2. 3/5 Calculate -147*(-20)/(-60)*4/(-14). 14 What is the value of (24/(-16))/(((-162)/1116)/3)? 31 What is ((-179)/(-895))/(2*(-2)/20*4)? -1/4 Calculate ((-23)/((-1955)/34))/(2/15*3). 1 What is 5/(90/48)*144/160? 12/5 What is (15/(-6))/((-32)/(384/45))? 2/3 (36/(-612))/(35/595) -1 Evaluate 8/108*(-156)/52. -2/9 Calculate 30/(-7)*(-3717)/885. 18 Calculate ((-76)/475)/((-4)/10)*-10. -4 Calculate 20/14*(-2114)/(-3624)*6. 5 ((-10)/(-12)*(-1791)/398)/(5/(-8)) 6 Evaluate (-20)/((-1)/(8/(-8))). -20 Evaluate (3/6)/((2/14)/(2/7)). 1 What is the value of (-10)/((-200)/(-15))*12*(-4)/(-9)? -4 ((-71)/((-994)/(-3)))/((-18)/16) 4/21 Evaluate 12*9/216*14. 7 What is the value of ((-18)/(-3))/(25*9/135*-2)? -9/5 What is ((5040/966)/60)/((-1)/(-3)*2)? 3/23 What is the value of 8*(-4)/8*(-209)/(-132)*-3? 19 2/(-98)*679/194 -1/14 Evaluate (60*18/(-486))/(8/36*-6). 5/3 What is -3*40/6*11/88? -5/2 Evaluate (300/350)/(1/7). 6 Calculate (55/15)/(((-3)/9)/(-1)). 11 Calculate (213/(-142))/(99/12). -2/11 Calculate (1/(-70))/((-170)/1190). 1/10 What is the value of ((936/16)/(-13))/9*8/3? -4/3 (((-2)/(-2))/(-4))/(-3*11/396) 3 Evaluate (-282)/(-141)*(2/20)/(9/(-6)). -2/15 (9*8/216)/((-49)/21*1) -1/7 ((-23)/(-1610)*25)/(-10) -1/28 Calculate ((-5)/10)/(-4*529/(-184)). -1/23 What is ((-35)/(-5))/1*((-9)/3)/3? -7 What is the value of ((3/1)/((-2004)/1837))/((-2)/8)? 11 What is the value of (-9)/(6561/(-72))*(-6)/(-8)? 2/27 What is ((-33)/99)/((-2)/(-96))? -16 Evaluate ((-855)/57)/((-15)/((-3)/(-3))). 1 2/(-20)*8*40/(-96) 1/3 (-305)/122*2/(-45) 1/9 What is the value of 24/88*((-224)/24)/14? -2/11 Calculate 39039/9009*12/(4/2). 26 What is the value of 1*9/2*12*8/144? 3 (-3)/(-12)*2*30*14/(-6825) -2/65 Evaluate (-28*180/700)/(((-6)/5)/(-3)). -18 Calculate ((-160)/(-18))/(-8)*(18/(-12))/1. 5/3 Evaluate 474/(-711)*(-4)/6. 4/9 Calculate (-392)/280*6/63*3. -2/5 (3*(-8)/(-18))/((-3)/((-27)/66)) 2/11 What is the value of (69/((-16974)/451))/(1/6)? -11 ((28/(-4))/(-21))/(42/(-112)*-8) 1/9 Evaluate ((-10)/200*-10*0)/(-3). 0 Calculate (-5)/(-14)*((-605)/(-484))/(25/16). 2/7 What is -4*((-1800)/(-1680))/(3/21*2)? -15 Evaluate (-56)/6*(-2793)/1862. 14 What is the value of (36/(-72))/(2/((-60)/9))? 5/3 (-1)/((-24)/(-54))*34/(-765) 1/10 Calculate (-40)/10500*60*5*(-1)/2. 4/7 What is the value of (84/(-98))/(((-2040)/(-119))/(-8))? 2/5 Calculate ((-32)/(-8))/((-70)/70). -4 (4026/(-14091))/(5/1*(-2)/7) 1/5 What is 3*(-2)/(-9)*27873/30970? 3/5 What is ((972/2187)/((-11)/(-3)))/(-2)? -2/33 Calculate 1/(30/(-35))*-6*(-6)/(-63). 2/3 Calculate 8*(-7)/(-952)*(-12)/(-2)*-1. -6/17 (-3)/(-330)*11*(-25)/(-10) 1/4 Evaluate ((-240)/840)/(2*(-1)/182). 26 Calculate ((-348)/(-174))/((-2)/(-7)). 7 What is (28/(-84))/(-1*(-1)/15)? -5 Evaluate (61/((-1403)/(-46)))/(2/(-4)). -4 What is the value of 1*(-54)/(-18)*-1? -3 What is the value of (1254/133)/(-22)*(-2)/(-3)? -2/7 1330/665*(-22)/4 -11 Evaluate -2*(-7)/21*-7*(-2)/(-8). -7/6 Evaluate ((-151)/453)/(11/(-6)). 2/11 What is the value of (-54)/(-36)*29/(58/(-16))? -12 Calculate (-3*10*-1)/((-13)/((-156)/18)). 20 Evaluate ((837/54)/(-31))/((-1)/(-26)). -13 What is (54/99*(-154)/(-112))/((-6)/4)? -1/2 What is 3/(-5)*(-29)/(-261)*-18? 6/5 Evaluate 1/12*16*14/(-252). -2/27 (-64)/((-5760)/(-405))*(-2)/(-8) -9/8 What is the value of 36/(-30)*-2*1/(-18)? -2/15 What is the value of (94/(2632/42))/(1/(-14))? -21 ((-6)/13)/(1368/(-35568)) 12 What is (-2)/(-11)*(-104)/104? -2/11 What is (-19)/(57/6)*532/56? -19 What is 2/(-5)*-2*18400/(-920)? -16 Calculate 200/100*3/(-2). -3 What is 546/7722*(-6)/(-7)? 2/33 16/(-14)*3570/1700 -12/5 What is (-182)/78*4/3*9/(-2)? 14 Calculate (1374/(-11450))/((-3)/(-2)). -2/25 Evaluate (-14)/(-392)*2*1. 1/14 What is (-10*30/(-1050))/(3/(-7))? -2/3 (744/(-32))/(-93)*((-4)/2)/(-8) 1/16 Calculate ((-4)/(-16))/((-40)/20*1/2). -1/4 (4/(-5)*560/32)/(-1) 14 What is the value of (2600/39)/25*3/(-4)? -2 Evaluate (-6)/((-36)/6)*1/((-2)/20). -10 Evaluate (3/5)/(52/(-25740)*-11). 27 What is the value of 435/348*(-306)/(-85)? 9/2 540/100*10/(-4)*18/(-27) 9 What is the value of 42/35*11/((-11)/5)? -6 (-1)/(-8)*44*(-192)/44 -24 Evaluate (-14)/((-140)/55)*((-36)/33)/(-4). 3/2 (-9)/(-81)*(-28)/((-504)/54) 1/3 Calculate ((-3690)/2460)/((-2)/(-16)). -12 Calculate ((-90)/5)/((63/(-84))/1). 24 What is the value of ((-6622)/(-66))/43*5/7*1? 5/3 What is (-1)/((-5)/(-100)*10/(-5))? 10 4/(-50)*-90*21/(-3024) -1/20 What is the value of (112/(-896))/(14/8)? -1/14 What is the value of 25/(2250/(-117))*10? -13 (((-25)/(-5))/(-70))/((-24)/(-144)) -3/7 Evaluate (10/22)/(66/242). 5/3 Evaluate 16/(-896)*-154*-4. -11 Evaluate (-66)/(-220)*(28/60)/(-7)*2. -1/25 Calculate ((-165)/693*14)/((-2)/3). 5 What is the value of (-32)/(-6)*(-840)/(-2240)*-13? -26 What is (71/5964)/(3/(27/(-3)))? -1/28 (((-33)/792)/((-31)/8))/((-1)/6) -2/31 13/39*(-3)/((-108)/8) 2/27 What is 29/(348/84)*-1? -7 Calculate (2/161)/((-424)/2968). -2/23 What is 51/15708*-7*11/(-2)? 1/8 Calculate (-8)/(-2)*(9/(-36))/((-14)/(-154)). -11 What is (2/((-40)/4))/((-64)/(-240))? -3/4 Evaluate ((-80)/18)/((-384)/(-1728)). -20 What is 5*(-80)/(-50)*7/14? 4 (33/(65340/36))/(2/20) 2/11 ((-234)/(-13))/54*5 5/3 Calculate (259/6734)/(6/(-8)). -2/39 Calculate 3/((-3)/2*42*5/(-270)). 18/7 Evaluate ((-16)/18)/4*(-315)/140*8. 4 What is ((-104)/1092)/(18/42)? -2/9 What is 9/(-7)*(-504)/(-54)? -12 (-294)/(-28)*92/69 14 Evaluate ((-48)/156)/((-1026)/117). 2/57 Calculate (108/(-30))/((-62)/155). 9 Evaluate (-2)/(-8)*(80/(-325))/(6/15). -2/13 What is (10/(-24))/(((-540)/8)/27)*-7? -7/6 What is (2/4)/((-162)/756)*(-12)/14? 2 Calculate (2/(-55))/((-1314)/4818). 2/15 Calculate ((-1320)/(-432))/11*-2. -5/9 (((-6)/4)/(-3))/(19480/(-7792)) -1/5 Calculate (-2)/30*(-870)/(-580). -1/10 Evaluate 2/(((-2)/(-12))/(17/(-34))). -6 (-1)/(-30)*16/6*(-54)/36 -2/15 Calculate -6*((-16027)/(-93))/(-47). 22 Evaluate 11/(-11)*3*20/(-12). 5 3/(12/16*(-4)/2) -2 Evaluate (1/(-12))/((-216)/(-864))*90/(-2). 15 Calculate 25/((-500)/(-40))*2*2/24. 1/3 What is the value of (3/(-12))/((-24)/(-16))? -1/6 What is (-5)/(-10)*(-6)/(-153)*-3? -1/17 Calculate (1*-4)/(1/(7/(784/8))). -2/7 Calculate ((-262)/(-2227)*(-17)/6)/((-4)/(-6)). -1/2 (27/54)/((-3)/(-6)*(-4)/24) -6 (88/(-242))/(30/55)*1 -2/3 Evaluate (45/(-75))/((-1)/(-35))*28/(-42). 14 What is ((-3)/(-15))/(((-33)/10)/(-11)*1)? 2/3 Calculate (1*4*(-15)/(-300))/((-8)/(-30)). 3/4 Evaluate 453/151*(-28)/(-6). 14 What is the value of ((279/12)/31)/(-2*3)? -1/8 Evaluate 240/96*3/(-5). -3/2 What is ((-952)/16)/(-17)*(-8)/(-4)? 7 Evaluate 1*-28*(-17)/(-34). -14 Calculate ((-6)/(-3))/(3/(-3))*2/10. -2/5 Calculate (38262/18220)/(14/(-30)). -9/2 What is (-15)/(((-9)/(-24))/((-7)/(-56)))? -5 Evaluate (-7)/((-1)/((-12)/(-14))). 6 ((-224)/84)/((-8)/(-30)) -10 8*12/(-3816)*(-6)/(-4) -2/53 Evaluate (121/33)/((-20)/(-10)*(-1)/3). -11/2 ((3/(-6))/(17/34))/((-45)/18) 2/5 What is the value of (-2)/(-5)*260/16? 13/2 Evaluate -2*((9/(-45))/(-1))/1. -2/5 What is (-3661)/7845*(-10)/7? 2/3 Calculate 20/(-500)*-4*(-4)/(-8). 2/25 What is (-15)/((-2)/(-4)*13/((-156)/(-192)))? -15/8 Evaluate 24/(-64)*140/(
{ "pile_set_name": "DM Mathematics" }
0)/45). Let w be ((-4)/3)/(l/(-9)). Solve w*j - 8 = -2*x, 3*j = 4*x + x + 6 for j. 2 Let f(w) = w**3 + 11*w**2 - 12*w - 4. Let z be f(-12). Let x(a) = a**3 + 4*a**2 - a - 4. Let c be x(z). Solve t + c*t = -4*s - 14, -2*s = 4*t for s. -4 Suppose -q + 15 = 4*q. Suppose 1 = r - q*w + 5, 5*w - 12 = -r. Let k be (8 - 6)/(r/2). Solve -4*x = n - 17, -7*x + 3*n = -k*x - 34 for x. 5 Let l be -2*(-4)/(-24)*3 + 6. Solve 3*w - 20 = l*g, 0*g = 2*g - 5*w + 8 for g. -4 Suppose -3*w + 34 + 2 = 0. Let l be (-54)/w - 3/(-2). Let j = l + 11. Solve 4*q - p = -4, 0 = 3*q - 2*p + j for q. 0 Let d be (0/((-2)/(-1)))/(-1). Let t = 3955 + -3950. Solve -t = -2*r - n, d*n - 23 = -5*r + n for r. 4 Let a be -20 - (0 + 1)*6. Suppose -3*f - 43 = -130. Let l = a + f. Solve -w + 0*w + l = 0, -9 = -2*z - w for z. 3 Let i be 2/(-17) - (-11 + 1170/170). Solve 3*u - s + 5 = 0, -i*u = u - 5*s + 25 for u. 0 Let r(w) = w + 33. Let a be r(-29). Solve -6 = a*s - s - 4*u, 0 = 4*s + u + 8 for s. -2 Let g(q) = -q + 7. Let z be g(5). Let i(y) = -2*y + 13. Let r be i(z). Solve 14 = -2*t + 2*u - 4*u, 0 = -3*u - r for t. -4 Let x(m) = m**3 + 4*m**2 - m + 10. Let k be x(-4). Solve 3*z + 7 = -b, k = 4*b + 2*z + 2 for b. 5 Suppose i = 13 - 7. Suppose -2*x + 2 = 2*o, 4*o = -11*x + i*x + 5. Solve -4*h + 4*q + 8 = 0, o = -4*q + 7 - 3 for h. 3 Let x = -351 - -354. Solve 7*c - 3*c + 3*z = 22, 2*c - 2 = x*z for c. 4 Let r = -496 - -509. Solve 25 + 0 = -5*v, 2*t + v = -r for t. -4 Let n(k) = k**3 + 6*k**2 - k + 5. Let q be n(-6). Let c(y) = -y**3 + 11*y**2 + 2*y - 14. Let g be c(q). Solve 2*a + 10*r - 20 = 5*r, 3*a + 2*r - g = 0 for a. 0 Let b(i) = -142*i + 856. Let m be b(6). Solve 0 = -4*u - u + 4*g - 11, -m*u = -2*g + 4 for u. 1 Suppose 206*w + 24 = 230*w. Solve j - w = -h, 5*h - j - 2*j - 29 = 0 for h. 4 Suppose 2*o + 32 = 2*a, 0*o = 2*a + o - 29. Let c be -5 + a*4/6. Solve -c*i = -0*i + 2*w, 3*i + 4*w = 14 for i. -2 Let r be 4*1/((-4)/(-3)). Let j(d) = d + 8. Let z be j(-5). Let i(s) = s**2 + 5*s - 24. Let o be i(z). Solve o = -r*p - 3*y + 6, -4*y + y - 2 = p for p. 4 Let v(x) = x + 15. Let y be v(-8). Suppose -2*n + y = -5. Let p be 52/n*6/4. Solve -3*d = j - p, -5*j + 23 = -d + 6 for j. 4 Suppose 525*b = 531*b. Suppose p + 29 = 4*u, p + 4*p + 1 = -4*u. Solve 5*c = -20, k + u*c - c + 24 = b for k. -4 Let d = -757 + 778. Solve 3*b - 19 = -3*p + p, 0 = 2*b + 3*p - d for b. 3 Suppose 8 - 4 = d. Suppose -h = 3*f - 2*h, d*f - 19 = -5*h. Solve -2*x + 0*x = -3*r + 3, r - f = 5*x for r. 1 Suppose 21 = -3*w + 33. Let l be -2 + 33/6 + (-2)/w. Solve 0 = 3*f - 5*k + 7, -l*f = -k - 3 + 2 for f. 1 Let v = -15 - 2. Let q = v - -24. Suppose 0 = 3*h - q*h. Solve 3*o - 2 - 7 = h, -c = o - 2 for c. -1 Suppose -52 = -36*n + 23*n. Solve -s - 11 = -n*w, 2*w + 0 = 4 for s. -3 Suppose -7*b + 17 = -4. Suppose 0*q = -b*o - q + 51, -9 = -3*q. Solve -4*r - 3*w - o = -0*r, -4*r + 4*w - 16 = 0 for r. -4 Let m be (1 - 0)/(2/40). Suppose 7*v - 59*v + 156 = 0. Suppose 4*c + m = 2*r, 2*c - v*c - 3 = 0. Solve r*z - 3*z - 2 = -5*q, 0 = -q - 3*z - 8 for q. 1 Let z be (-9)/(-2) - ((-18)/12 + 1). Suppose 15 = -0*h + 3*h. Suppose -h*n - 3 + 8 = 0. Solve -z*w + 2*q + 23 = q, -w - n = -3*q for w. 5 Suppose 39*k - 56*k = -17. Solve 1 = -3*t + 4*c - 2, 5*c - k = t for t. -1 Suppose 2*a + 5*v - 7 - 28 = 0, 5*a + 4*v - 45 = 0. Solve 3*z + 3*h + 6 = 0, 2*h = h - a for z. 3 Suppose 142 + 110 = -2*c. Let t be (-27)/(-7) + (-18)/c. Solve p + 0*g - 3*g - t = 0, 3*g = -p + 4 for p. 4 Let r(u) = -11*u**3 + 7*u**2 - 35. Let x(t) = 5*t**3 - 3*t**2 + 17. Let p(z) = 4*r(z) + 9*x(z). Let s be p(0). Solve -y = -5*h - s, y + 3*h = 2*y - 9 for y. 3 Let v(r) be the first derivative of -r**3 + r + 1/4*r**4 - 3/2*r**2 - 2. Let a be v(4). Solve c - 18 = 5*q, 0 = -a*q + c + 3*c - 27 for q. -3 Let p be ((-24)/(-90))/(-2) + (-64)/(-30). Solve p*o - 2 = -3*u, u + 4 = 3*u for o. -2 Let q(h) = 2*h**3. Let s be q(1). Suppose -p - i = -24, -6 = -2*i + s. Let u = p + -17. Solve u*l + 4*b = b, -4*b - 30 = -2*l for l. 5 Let k be 1/(3/27) + 0. Let o = -37 + 32. Let s = o + k. Solve -s = p - w, -p + 0*p = 4*w - 1 for p. -3 Let n be 28/(-35) - (-88)/10. Solve -b = 2*i + n, 3*b + 2*b + 2*i + 8 = 0 for b. 0 Let y be (2/(-5))/(1*(-1)/10). Solve 4 = -3*r + a + 2, y = r - 5*a for r. -1 Suppose q = -4*j + 10, -2*q + j - 2 = -2*j. Suppose 0 = b - 19 + 41. Let r = -22 - b. Solve r*t - 4*l = t + 4, t + 4 = q*l for t. -4 Let t = -5 - -2. Let q = -8 - t. Let s be 1/q - 4/(-20). Solve 5*w = 2*o + 9, 1 = o - s*w + 3*w for o. -2 Let w(q) = -q**2 + 24*q - 103. Let f be w(18). Solve 0 = -f*b - 10, 5*z - 2*b - 46 = -17 for z. 5 Suppose 0 = 5*o - 3*z - 32, 853*z + 4 = 852*z. Solve 4*k = 6*k + 6, o*k + 4 = -4*y for y. 2 Suppose 2 + 8 = 2*m. Solve b - 28 = -m*d, b + 1 = 3*d - 11 for b. 3 Let m(p) = -10*p**3 - p - 3*p**3 + 0*p + 4 + 14*p**3. Let a be m(0). Let v be 3/(-9)*-3*4. Solve -u - 2 = v*u - a*c, 3*u = 3*c - 3 for u. 2 Suppose -d - 3*d = 68. Let k = d + 34. Suppose -5*f + 8*f + k = 2*x, -3*x + 25 = -4*f. Solve 0 = -n - 0*n - 2*i - x, 3*n - i + 7 = 0 for n. -3 Let d(p) = 4*p - 5*p - 9 + 20. Let o be d(11). Solve -4*s + 8 = 0, o = w - 3*s + 10 - 0 for w. -4 Suppose 3*r + 4 = 5*b, 4*b + r + 115 - 125 = 0. Solve -8 = -3*d + 5*d + v, -4 = -b*v for d. -5 Suppose 2*r = 21 - 5. Suppose r*i = 6*i + 6. Solve 0 = -3*n - 0 + 3, 7 = i*z + n for z. 2 Let o(c) = -c - 13. Let r be o(-18). Suppose r = h + 3. Solve h*g - 5*t = 0, -4*t = -2*g - 0*t for g. 0 Let o be -3*(2/9 + (-16)/18). Solve -5*y - o*c = -4, -2*y + 2*c = -5*y for y. 2 Suppose -n + u + 8 = 2, -n - u = 0. Suppose 2*d = -18*d + 4 + 36. Solve 4*m + 14 = -n*x, -2*x + m = -d + 4 for x. -2 Suppose 7*k - 8*k = -4. Solve 0 = k*r - 20, 2*g + 3*r - 2 - 5 = 0 for g. -4 Suppose 0 = 5*s - 5*l + 40, 26 = -4*s - 3*l + l. Let z = s + 15. Suppose -7*t + z*t = 12. Solve -3 = 3*w + 2*c + 3, w + 4*c + t = 0 for w. 0 Suppose -2*b - 3*i - 41 = 0, 0*i = b - 5*i + 40. Let h = 14 + b. Let f = -3 - h. Solve -2*g + f = 2*z + 2, g = -2*z + 2 for g. 4 Let j = 3 - 1. Suppose -14*z - 55 = -25*z. Solve -r + 7 = 4*h + j, h + 4*r - z = 0 for h. 1 Suppose 3*u = 20 + 19. Suppose l + 3*h = -u, 0*h - 5 = -5*l - h. Solve l*p - 15 = -5*o, 4*o - p - 21 - 4 = 0 for o. 5 Let d = 32 + -30. Let t be d/(-4 - (-22)/5). Solve 5*p + 19 = 5*j - 31, t*p + 10 = -3*j for j. 5 Let c = 71 + 0. Let z = -58 + c. Solve -4*m = -f - 11, -m + 1 = 2*f - z for f. 5 Let q be 4 + (-6 - -5) + -2 + 3. Solve -q*g - 2*l - 3 = 3*l, 5*g + 5*l = 0 for g. 3 Suppose 32 - 28 = b. Let f(d) = d**3 - 7*d**2 + 12*d. Let u be f(b). Solve u = 5*k - 3*t - 1 - 9, -k + t + 2 = 0 for k. 2 Let k = 35 - 35. Suppose 0*q + 2*q = k. Solve -5*a + 15 = 0, q*x - 4*a + 20 = -2*x for x. -4 Let a = 14 + -10. Let o = 1025 + -1021. Let x = a - o. Solve x = 4*l - l + 6, -12 = 4*u + 4*l for u. -1 Let x be 4/6*(0 + 51/2). Suppose 8*v - 7 = x. Solve 2 = 2*w, v*n + 3*w + 2*w + 1 = 0 for n. -2 Suppose 2*m - 20 = -3*t, 4*t + 5*m - 20 = 4*m. Solve -t*y = 3*g + 24, -2*y - 4 = g + 6 for g. -4 Suppose -3*x = -4*y - x + 6, -3 = 4*y + x. Suppose -9 = -3*c - y*c. Solve c = 3*b, -6*n + 3*b = -2*n - 17 for n. 5 Let a(s) = -s**3 + 16*s**2 - 2*s + 36. Let r be a(16). Solve -w + 4*f - 12 = 7*f, -9 = r*w - f for w. -3 Suppose 18 = -c + 4*c + 3*a, -c = -3*a - 2. Let l(i) = i**2 + 3*i + 3. Let v be l(-3). Solve 0 = 2*g + g + q + v, 3*g + 3 = -c*q for g. -1 Let q be (-7)/(-2) - 2 - 144/(-96). Solve 5*l + 6 = -q*s + 5*s, 5*l - 15 = -5*s for l. 0 Let p be (-28 - -33) + 1/(2/(-4)). Solve h - 1 = a, -a + 1 = -p*h - 0*h for a. -2 Let y(l) = 2*l - 19. Let w be y(11). Suppose -w*n + 5*v = -28, 3*n - v = 2*v + 18. Solve -i + 0*u + n = -3*u, -4*i = 4*u - 20 for i. 4 Suppose -8*k + 6 = -5*k. Solve -x = -u + 2, u - k*x = x + 8 for u. -1 Let z = -17 - -22. Suppose z*y = -3*s, 3*s - y = 4*s. Suppose -t + 4 + 0 = s. Solve 7*r - 4*j = t*r + 31, -4*j - 21 = -r for r. 5 Let n = 31 - 26. Suppose -3*d = m + 8, 2*m + 2*m + n*d = -4. Let i(j) = -3*j + 13. Let l be i(m). Solve 0 = 3*y - 2*r - 6 + l, -3*y - r + 11 = 0 for y. 3 Let v be 13 - (-6 + 0 - -3). Suppose 6*w + v = 14*w. Solve -b = -2*k - 5, -w = 2*k + b - 3*b for k. -4 Let m = -32 + 34. Let n = 6 + -5. Let f be -5*(n + 9/(-5)). Solve 3*z + 2*b = -3*b + m, -z + 3*b = f for z. -1 Let k(y) = -y + 43. Let d be k(41). So
{ "pile_set_name": "DM Mathematics" }
et y = -7 - -14. Suppose 0 = -2*k + 4, -2*h - 3*k - 2 = -y*k. Suppose -h = -2*l + 17. Is 5 a factor of l? True Does 2 divide 2/(-1 - -5)*8? True Let j = -82 - -122. Does 10 divide j? True Suppose 5*m = t + 64, 2*m - 37 = 4*t + 3. Is m a multiple of 9? False Let o(v) = 8*v**3 - 2*v**2 + 2*v - 1. Let g be o(1). Let s(d) = d - 4. Let h be s(g). Is (0 - -30)/h + 0 a multiple of 10? True Let q = -11 - -15. Suppose -39 = -5*t - 14. Suppose 35 = t*a + 5*b, -q*a - 5*b = -0*a - 24. Is a a multiple of 11? True Let p(m) = -m**3 + 8*m**2 - 8*m - 6. Let r be p(6). Suppose 2*x = 10 + r. Is x a multiple of 7? True Let w be (1/4)/(9/72). Suppose m + w*m - 72 = 0. Is m a multiple of 9? False Let z be (-40)/(-12) - 4/(-6). Let w be z/6 + (-4)/6. Suppose 5*r + 0*r - 110 = w. Does 11 divide r? True Let y(q) = q**2 - q - 4. Let j be y(3). Let t = 2 - j. Suppose t = -x + 5*x - 40. Is x a multiple of 10? True Let h be (-20)/3 + 1/(-3). Let i = 15 + h. Is i a multiple of 4? True Let h(c) = -c - 21. Let f be h(0). Let d = f - -30. Does 5 divide d? False Suppose -z = 3*z - o - 8, -z - 13 = -4*o. Let c(t) = t**2 + t - 4. Let y be c(-3). Suppose -y*w = -3 - z. Is w even? False Let n be (-1 - (-1 + 0)) + 2. Suppose 56 = n*c - 0*c. Does 12 divide c? False Let o be 2 + 77 + 1 + -3. Suppose -o = -4*m + 51. Let n = m - -11. Is n a multiple of 11? False Let i = -30 - -58. Let s = 6 + i. Is 13 a factor of s? False Let l(i) = i**3 + 6*i**2 + 5*i + 6. Suppose 4*y - 15 - 1 = 4*g, 0 = 5*y. Does 18 divide l(g)? True Let x(i) = i**2 - 12*i + 7. Does 15 divide x(-6)? False Suppose 3*i + 35 = -13. Let a = i + 23. Is (-38)/(-8) + a/28 a multiple of 2? False Let c = -8 - -10. Let m be c + -2 - 0 - 10. Is 7 a factor of 49/2 - 5/m? False Let d be (4/(-4) - 1) + 131. Suppose 0*k = -3*k + d. Is 13 a factor of k? False Let z = 116 - 43. Let d = z + 27. Suppose -2*q + d = -0*i + 5*i, 2*i - 40 = 4*q. Is 10 a factor of i? True Suppose -4 - 12 = -5*q + 4*j, 3*q + 3*j + 12 = 0. Suppose q*b + 2*b - 14 = 0. Is 5 a factor of b? False Let j be -35*((0 - 0) + -1). Suppose 0 = y - 3*y - 5*a + 25, -5*a + j = 4*y. Let h = y + 10. Is 15 a factor of h? True Let d = -46 + 69. Does 6 divide d? False Suppose 0 = 3*v - 10 - 8. Is v a multiple of 3? True Let b = 42 - 242. Is b/(-70)*14/4 a multiple of 6? False Suppose -5*y - 3 + 13 = 0. Is ((-558)/(-3))/3 + y a multiple of 23? False Let t be ((-3)/(-2))/((-6)/(-32)). Suppose -60 = -4*h - t. Is h a multiple of 8? False Suppose 2*n + 2*n = 24. Let s(j) = 4*j - 1. Let x be s(n). Let u = -16 + x. Is u a multiple of 7? True Suppose -4 = -4*a + 5*a, 3*j - 2*a - 80 = 0. Is 24 a factor of j? True Let w(q) = 2*q - 4. Does 4 divide w(7)? False Suppose -5*t = -h - 24, -t + 0 + 2 = -3*h. Suppose -3*k - 46 = -t*k. Is 16 a factor of k? False Is ((-138)/(-4))/((-12)/(-16)) a multiple of 12? False Suppose -3 = -b, b = 5*a - b - 524. Is a a multiple of 29? False Suppose -2*g - 9 = 5. Let z = g - -38. Does 10 divide z? False Let x = 65 - 39. Is 13 a factor of x? True Let c = 50 - 20. Is 6 a factor of c? True Let c be -38*(-1 + 1/(-1)). Let s = c - 46. Is 10 a factor of s? True Suppose 19 + 26 = l + 3*u, -3 = -3*u. Is l a multiple of 21? True Let b = -9 - -6. Is ((-3)/(-6))/(b/(-150)) a multiple of 18? False Suppose 0*x = -4*x - 112. Suppose -5*z - 252 = 3*g - 0*g, -92 = 2*z - g. Let i = x - z. Does 10 divide i? True Let j(w) = w**2 - 9*w + 8. Is j(-5) a multiple of 10? False Is 5 a factor of (1 - 0)/((-4)/(-48))? False Let d = -58 + 86. Is d a multiple of 5? False Is (-230)/(-69)*78/10 a multiple of 20? False Let l = 5 + -7. Is 20 a factor of (-234)/(-12) - 1/l? True Let l(b) = -3*b**3 + b**2 + b - 1. Let h be l(1). Does 3 divide h - (3 - 2)*-9? False Let w be 6/9 + (-20)/(-6). Let r be (4 + -5)/((-1)/w). Let u = r + 2. Does 6 divide u? True Suppose -86 = -6*i - 26. Does 5 divide i? True Suppose 0 = 5*p + 49 - 214. Suppose 4*t - t - p = 0. Does 11 divide t? True Let y(v) = 3*v**2 + 6*v + 8. Let c be y(-4). Let r(m) = -6*m - 1. Let s be r(-1). Suppose k + 2*o = 4, -s*k + c = 2*o + 2*o. Does 5 divide k? False Let q(b) be the second derivative of -b**4/12 - 7*b**3/6 - 2*b**2 - b. Let i(s) = -s**3 - 6*s**2 + 9*s + 10. Let x be i(-7). Does 3 divide q(x)? False Does 19 divide 39*(-12)/(-5) + (-2)/(-5)? False Suppose 5*j + 0*j = 25. Is j*6*(-1)/(-2) a multiple of 6? False Let n(s) = 1. Let c(h) = -12*h + 4. Let j(q) = c(q) - 4*n(q). Is 26 a factor of j(-4)? False Suppose -4*c - 2 = 3*q, -2*q - 3 - 2 = -c. Let n be 0 - 2 - (1 - c). Let d(u) = -13*u - 3. Is 17 a factor of d(n)? False Let v(i) = 2*i**2 - 4*i + 2. Is v(5) a multiple of 16? True Suppose -1119 = -3*z - 4*i, -2*z + 11*i - 6*i = -723. Is 41 a factor of z? True Let p(u) = 3*u + 10*u - 17 + 0*u - 3*u + u**2. Does 2 divide p(-12)? False Suppose -10 = 3*x + 5*a - 3, 29 = 4*x - a. Suppose -61 - 107 = -x*q. Is q a multiple of 14? True Let g(l) = 2*l**2 + 5*l + 3. Suppose 3*k + 36 = 15. Let f be (k - -2)/(1/1). Does 14 divide g(f)? True Let t = 0 + 1. Let n(y) = 7*y**3 - 3*y**2 - y + 1. Let f(l) = l**3 + l**2. Let u(x) = 2*f(x) + n(x). Does 8 divide u(t)? True Let b = 91 + -36. Does 11 divide b? True Let h(c) = 2*c - 1. Let z be h(-2). Is 6 a factor of z/((-5)/3) + 4? False Let d(t) = 14*t - 3. Is d(3) a multiple of 8? False Let o be 2/(-3)*1*-51. Does 17 divide o*(0/(-3) + 1)? True Suppose -74*i + 181 = -73*i. Does 19 divide i? False Suppose -14*l + 9*l + 25 = 0. Suppose 0 = -4*j + l*j - 12. Is j a multiple of 12? True Suppose -v - 3*o = -106, 61 = 3*v + 4*o - 247. Is v a multiple of 10? True Let o(q) be the first derivative of q**3/3 - 3*q**2/2 + 4*q + 1. Is o(6) a multiple of 7? False Let d(p) = -p**2 + 2. Let r be d(-2). Let b = 10 - r. Does 12 divide b? True Let w be 2 + (-1 - (1 - 1)). Let p be (1/2)/(w/(-212)). Is 11 a factor of (-6)/(-15) + p/(-10)? True Let y = -532 + 787. Does 44 divide y? False Is 10 a factor of (-57)/2*(-2)/3? False Suppose -t - 5*u + 24 = 0, -4*u = 4*t - 3*t - 22. Does 14 divide t? True Let g be 0 + 157/(0 + -1). Let z = 289 + g. Suppose -2*k + 6*k = z. Is 11 a factor of k? True Suppose 5*a = -0*a + 200. Let k(w) = 6*w - 9. Let i be k(6). Let t = a - i. Is t a multiple of 7? False Suppose j + 3*j - 12 = 0. Let r(s) = 0*s**j + 5*s**2 + s**3 - 6 - 6*s + 0*s**3. Is r(-5) a multiple of 12? True Suppose 97*w = 99*w - 10. Is 3 a factor of w? False Let a(t) = 5*t - 5. Let b(o) = o - 1. Let r(c) = 6*a(c) - 33*b(c). Suppose x + 4*x = -25. Does 13 divide r(x)? False Suppose s + 2 = 3*q - 9, 4*q + 4*s = -12. Suppose -2*k + 96 = 5*t, -k = q*t - 5*k - 24. Let c = t + -11. Does 5 divide c? False Let n(w) = 2*w**2 - w - 2. Let x(g) = -g - 1. Let u be x(-3). Let z be n(u). Suppose 0 = -z*j + y + 97 + 40, j - 47 = -4*y. Is j a multiple of 11? False Suppose 45 = -5*u + 155. Does 7 divide u? False Let q = -4 - -6. Let b(z) = -q*z + 5 - 5 - 5. Is 5 a factor of b(-8)? False Let h be -6 - -9 - (-5)/(-1). Is 9 a factor of 208/24 - h/6? True Let j(m) = m - 12. Suppose -3*d + 25 = 2*h, -5*h = -0*d - d - 20. Let i be j(h). Let b(v) = v**2 + 4*v + 3. Is b(i) a multiple of 12? True Let j = 9 + -4. Suppose -5*l + 41 = w, w = l - j - 2. Is l a multiple of 8? True Let u be 0/((5 + 3)/(-4)). Is 8 a factor of 31 - (-1 - (-2 - u))? False Let n(v) = -5*v**3 - 2*v**2 + 2*v. Let c = -1 - -4. Suppose c*l + 5 = -1. Does 11 divide n(l)? False Suppose -10 = -2*k, -2*k = -2*g - 4*k - 244. Let p = 237 + g. Suppose -2*x + p = 3*h, -5*h + 243 = 5*x + 58. Is 14 a factor of h? False Let c = 34 + -19. Is c even? False Let t(x) = x**3 + 7*x**2 + 4*x - 4. Is t(-6) a multiple of 8? True Let l(h) = h + 1. Let f(i) = -10*i - 16. Let p(s) = -2*f(s) - 28*l(s). Is p(-4) a multiple of 12? True Suppose 2*a = a + 25. Let b = a - 15. Suppose -b - 3 = -v + 5*y, 2*y = 5*v - 65. Does 13 divide v? True Let t(g) = 3*g + 2*g**2 - 5*g**2 + 2*g**3 + 0*g**3. Let c(i) = -i - 4. Let n be c(-6). Is 10 a factor of t(n)? True Suppose -n + 0*n + 5*y - 12 = 0, 0 = -2*y + 4. Is 23 a factor of (3 + n)*91 - 3? False Is 27 a factor of 3/(-2) - 498/(-4)? False Is 296/12*3*2/4 a multiple of 7? False Is 3 + (2 - -82)/4 a multiple of 8? True Suppose -4*m = -2*i + 8, -11 = 5*m - 4*i - 1. Is 3 a factor of (1 - (-6)/m) + 7? False Let j be 3 + 3/((-9)/15). Let i(u) = -9*u - 3. Is i(j) a
{ "pile_set_name": "DM Mathematics" }
the closest to -1? (a) 0.1 (b) 269 (c) 2 (d) 1/62 d Which is the closest to 3? (a) -0.4 (b) -1 (c) -5 (d) -0.03 d What is the closest to 106 in 0.03, -0.1, -0.5, 2, 1? 2 Which is the nearest to 1? (a) -1/659 (b) 11 (c) 0.1 (d) 2/13 d Which is the closest to 0.01? (a) -1/3 (b) 1 (c) -4 (d) -2/7 d Which is the nearest to 2/11? (a) 2 (b) 35 (c) -2.8 a Which is the nearest to -2? (a) 1/2 (b) -1/9 (c) 216 (d) 2/5 (e) -4 b What is the nearest to -1 in 5, 11658, 0.08? 0.08 What is the closest to -2/47 in -0.04, -2/5, 3? -0.04 What is the nearest to -5 in 3, -322, -1/5? -1/5 Which is the nearest to 0? (a) 0.038 (b) 80 (c) 4.8 a Which is the closest to -17.057? (a) 2 (b) 0.2 (c) 0.5 (d) 13 (e) 0 e Which is the closest to 0.3? (a) -2 (b) 3 (c) 96 (d) 643 a Which is the nearest to 0.1? (a) -40 (b) -2/7 (c) -1/5 (d) -3 (e) 6 c What is the nearest to 2/3 in -5/4, 0.5, 53? 0.5 Which is the closest to -6/103? (a) 0 (b) 0.5 (c) -1/93 c What is the closest to 9 in 5, -2/5, 0.1, -101/2? 5 Which is the nearest to 24? (a) 2/3 (b) 0.2 (c) 11 c Which is the nearest to 62? (a) -2/23 (b) 5 (c) 0.2 (d) 59 d What is the nearest to -274 in -2/17, 1/4, 0? -2/17 What is the closest to 4 in 0.4, 5/6, -5, 1/9? 5/6 Which is the closest to -2? (a) -0.2 (b) 2 (c) 2083 a Which is the nearest to 1/4? (a) 0.23 (b) -1/2 (c) -4/11 (d) -22 a What is the closest to -1 in 1/7, 2/3, 1, 28, 3? 1/7 What is the closest to -1/20 in 5, -0.02, -5, -1, -1/14? -1/14 Which is the nearest to -2/11? (a) 2/5 (b) 3/8 (c) 24 b Which is the closest to -0.107? (a) -0.1 (b) 2/13 (c) 0 (d) 4 a What is the closest to 28.791 in 5, -0.4, 7? 7 Which is the closest to -4/7? (a) 0 (b) -1 (c) -21 b What is the closest to -4/3 in 6, 1.5, -1.6? -1.6 Which is the nearest to 0? (a) -41 (b) -0.4 (c) -0.3 (d) -4 (e) 83 c Which is the nearest to 2? (a) -2 (b) -0.3 (c) -4 (d) -504 b Which is the nearest to 1? (a) 0.4 (b) 0.3 (c) -35527 a What is the closest to -1 in 0.5, 2, 4, -3, 514.4? 0.5 Which is the nearest to 5? (a) -2/9 (b) 1 (c) -22 (d) -8 (e) 0.5 b What is the closest to 13 in -2/3, 6/7, -0.5, 1, 2424? 1 What is the nearest to 8 in -15, -2, 3, -27? 3 Which is the nearest to -1? (a) 0.1 (b) 2/15 (c) -35 (d) -0.3 (e) -1/3 e What is the closest to -1/2 in 5/2, 0.1, 2/39, 0.2, 5? 2/39 Which is the nearest to -51? (a) 1/8 (b) 0.01 (c) -0.5 c Which is the nearest to -0.3? (a) -35 (b) -2/17 (c) 0.4 b What is the closest to 1101 in 87, 1, -3? 87 Which is the nearest to -4/35? (a) 0.07 (b) -6 (c) 1 (d) -2/3 a Which is the closest to -0.5? (a) 2/13 (b) -7 (c) 1/105 c Which is the nearest to 3/8? (a) 7 (b) 10 (c) 0.1 (d) -4 (e) -3 c What is the nearest to 21 in -0.2, -2/13, -1/11, 12/67? 12/67 Which is the closest to -0.5? (a) 4 (b) 244/5 (c) 0 (d) -2 (e) -0.5 e Which is the nearest to -1/4? (a) -3 (b) -4 (c) 374/45 a What is the nearest to 3/80 in -1, 16, -4, 11? -1 What is the nearest to 1 in 4, -11.583, -2/11? -2/11 Which is the closest to 1.3? (a) -40 (b) 3/2 (c) 0 (d) -3 (e) 10 b Which is the nearest to -9/28? (a) -14 (b) 4 (c) -3 (d) -0.4 d What is the closest to 53 in 0.4, -1, -4, 57? 57 Which is the closest to -1336? (a) 11 (b) -0.1 (c) -0.3 c Which is the closest to 67? (a) 2 (b) -0.1 (c) -0.2 (d) 3 d What is the nearest to -1/5 in -4, 0.01, 3/88, 3? 0.01 Which is the closest to -2? (a) 10 (b) 3 (c) 2/29 (d) -4 d What is the nearest to -4 in 0.4, 6, 1.9, -0.2? -0.2 Which is the closest to 1/13? (a) -4/31 (b) -5 (c) -21/2 (d) 4/3 a Which is the closest to -1? (a) 28 (b) -0.4 (c) 0.4 (d) -0.5 (e) 5 d Which is the closest to -582/17? (a) 17 (b) 0.1 (c) -3 c What is the nearest to -0.1 in -12/5, -1, -0.2, 2? -0.2 What is the closest to -13 in -0.03, -4/13, -1/13, 2/9, -0.5? -0.5 What is the nearest to 2 in -1/4, 2/7, 4, 3/19, -4? 2/7 Which is the nearest to 41? (a) 0 (b) 293 (c) 0.3 c Which is the closest to 75? (a) 2/7 (b) 6.46 (c) -3 b Which is the closest to -42/13? (a) 0 (b) -0.02 (c) -32.6 b What is the nearest to 5 in 3/5, 0.004, -2/33, -0.03? 3/5 What is the nearest to 0.1 in 5, 12, -9, 2.3, 4? 2.3 Which is the closest to -1? (a) -1.74 (b) -1.6 (c) -1.8 b Which is the nearest to -1/3? (a) 0 (b) -823 (c) -1 a Which is the closest to 6? (a) -0.001 (b) 3/8 (c) -1/3 b Which is the nearest to 1? (a) -502 (b) -23 (c) 0.1 (d) 0 c What is the nearest to -0.1 in 924, -1386, 0.1? 0.1 What is the closest to -6/13 in 1.3, -1, 0.3, -1/4? -1/4 Which is the closest to 0.1? (a) 1/3 (b) -11/3 (c) -5 (d) 254/3 (e) -0.3 a What is the closest to 0 in -5, -530, 31? -5 What is the closest to -2 in -0.1, 1/4, 5, -5, 1/90? -0.1 What is the nearest to -1 in -1/4, -165, -0.4, -4/359? -0.4 Which is the closest to -1/4? (a) 27 (b) 1/2 (c) 2 (d) 2.49 b Which is the nearest to -56.2? (a) 0 (b) 21 (c) 2/5 a What is the closest to 0 in -2/9, 0.1, -182? 0.1 Which is the closest to 0.2? (a) -3/3311 (b) 0 (c) 0.5 b Which is the closest to 4/21? (a) -4 (b) -4/3 (c) 2/11 (d) -2 c Which is the nearest to -6? (a) -18 (b) 2/3 (c) 4 (d) 0.34 d Which is the nearest to 28/11? (a) -15 (b) 1/3 (c) -2 (d) 0.5 d What is the nearest to -2 in -4, 0.031, 1.5? -4 What is the closest to 2/21 in 0.06, -0.1, 0.3, -49? 0.06 What is the nearest to 5/2 in -13, -3/2, 0.008? 0.008 What is the nearest to -67.6 in -3, 2/5, -3.3, -0.5, 3? -3.3 Which is the closest to -1? (a) -0.6 (b) 2/5 (c) 534 (d) -3/4 d Which is the nearest to 992? (a) 3 (b) 4 (c) -2/13 (d) -1/2 b Which is the closest to 2.2? (a) -5 (b) -0.05 (c) 2 (d) 0.29 c Which is the closest to -6844? (a) 3 (b) 0.4 (c) -1/3 c What is the closest to 0.1 in -1, -4, 0.5, -0.05, -68/9? -0.05 Which is the nearest to 10/7? (a) 33 (b) -2/11 (c) -9 (d) 0.5 d What is the nearest to 1 in 5/17, -1374, -2? 5/17 Which is the nearest to -1? (a) 797/124 (b) -5 (c) 0.5 c What is the closest to -37 in -9, 0, -3, 3/5? -9 Which is the nearest to 1? (a) -507 (b) 1/4 (c) -0.4 b What is the closest to 30 in -21/13, -0.9, 0? 0 What is the closest to 2 in -2/123, -2/7, -0.3, 9? -2/123 What is the nearest to 0.3 in -506, -49, 5? 5 Which is the nearest to 1/16? (a) -61 (b) 1/4 (c) 2/13 (d) -3 c Which is the closest to -25? (a) -4 (b) -0.02 (c) -1 (d) 0.1 a Which is the nearest to -7/5? (a) -1 (b) -4 (c) -7/6 (d) 0.6 (e) -3/7 c Which is the closest to -0.002? (a) 2/9 (b) -2/7 (c) -3 (d) 0 d Which is the closest to -2/17? (a) 4 (b) -0.026 (c) -20 b What is the closest to 0.319 in -0.4, 17, 5? -0.4 Which is the closest to -3? (a) -0.5 (b) -1845 (c) 1/7 a Which is the closest to 0.1? (a) 0.2 (b) 4 (c) 0.5 (d) -1/4 (e) -6 a What is the closest to 555 in -0.03, -2, -3, 4? 4 What is the closest to -3 in 3/2, -190/7, -5? -5 Which is the nearest to -3/4? (a) 1/7 (b) 5 (c) -4 (d) 77 (e) 0.3 a Which is the closest to 8? (a) 0.3 (b) 24 (c) -2/27 (d) -22/9 a Which is the closest to -0.1? (a) -9 (b) 5 (c) -352 (d) 0 (e) 6 d Which is the nearest to 0.12? (a) -4 (b) 0.1 (c) -3/7 (d) 245.1 b Which is the nearest to 258? (a) 4 (b) 0.07 (c) -8 a What is the nearest to -0.1 in -4, -5/3, -2/5, -129, 1? -2/5 Which is the closest to -1? (a) -4 (b) 3/7 (c) 0.4 (d) -21 c Which is the nearest to 4? (a) -2/3 (b) -1/6 (c) 3/2 (d) 0.04 c What is the closest to -0.08 in -0.3, -1304, 0.2, 1/24? 1/24 What is the nearest to -3/10 in -42, 26, 0, -3/8? -3/8 What is the nearest to 1/4 in 0.056, 0.4, -0.4, 0.5, 10? 0.4 What is the closest to 1 in 0.2, 121, 0.5, 0.15? 0.5 What is the closest to 0 in -39, -12, -2? -2 Which is the nearest to -24? (a) -2 (b) 2 (c) 3 (d) 26 (e) -1/6 a Which is the closest to 23? (a) 126 (b) -0.07 (c) 3/8 c Which is the closest to -4? (a) -1 (b) 2/3415 (c) 0.1 a What is the closest to -1/2 in -1/5, 91, -2, 2/9, 6? -1/5 What is the nearest to 4/7 in 2, -2, -20, -11? 2 What is the closest to -0.10122 in 1/4, 2/15, -4/3? 2/15 Which is the closest to 2? (a) -1.29 (b) -3 (c) 359/4 a Which is the nearest to 1? (a) -2.3 (b) -0.0027 (c) 5 (d) -2/13 b What is the nearest to -0.2 in -4, -230/11, 0.12? 0.12 What is the closest to 2 in 17, 2, -422, -0.2? 2 What
{ "pile_set_name": "DM Mathematics" }
of w? 3, 13 Let t(p) = p**2 - 2*p - 17. Let g be t(10). Let f be (g/(-6))/(-7) - 19/(-2). Suppose 464 = 15*c - f*c. What are the prime factors of c? 2, 29 Suppose v - 5392 - 1810 = -3*l, 2*v - 14388 = 2*l. What are the prime factors of v? 2, 7, 257 List the prime factors of -10*(-1050 + 7 + -7). 2, 3, 5, 7 Let m be (-10)/4*164/(-5). Suppose 2*v - z - 64 = -0*v, 2*z = -3*v + m. Suppose 5*n = j - v, -j - 2*j + 145 = -4*n. List the prime factors of j. 5, 11 What are the prime factors of (-4)/22 - 40915440/(-3960)? 2, 3, 7, 41 Suppose -3*y = -2*v + 16398, -16406 = -2*v + 62*y - 57*y. What are the prime factors of v? 3, 2731 Let s = -255 + 147. List the prime factors of ((-258)/18)/(-2 + (-212)/s). 3, 43 Let f = 16501 + -9424. What are the prime factors of f? 3, 7, 337 What are the prime factors of 21830 + (-9 - -27) + 21? 19, 1151 Suppose 151*s - 170*s + 39843 = 0. Let p = s - 802. List the prime factors of p. 5, 7, 37 Suppose 0 = 3*c - 9089 + 389. What are the prime factors of 5/10 + c/8? 3, 11 Suppose 2*w = y - 3*y + 8, 0 = 3*y - 2*w + 8. Suppose y = -4*i + 5 - 9. What are the prime factors of 3 + i + 0 - -91? 3, 31 Let o = 2 + -44. Let p = 2 + o. List the prime factors of 5*(4 - (-4)/(p/(-258))). 149 Let n = -101 + 113. Let i(s) = -s**3 + 13*s**2 - 13*s + 15. Let p be i(n). Suppose -p*h + 418 = -119. List the prime factors of h. 179 Let t be 23*((3 - -2) + -6). Let m = 105 - t. List the prime factors of m. 2 Let t(a) = -a**3 + 18*a**2 + 8*a + 31. Let y be t(13). Suppose -f = -7*v + 2*v + 176, -5*f + 5*v - y = 0. Let j = f - -328. What are the prime factors of j? 127 Suppose 5*l - 15792 - 91255 = 73958. List the prime factors of l. 3, 11, 1097 Let b(y) = -y**2 + y + 752. Suppose 0*c = 8*c - 5*c. List the prime factors of b(c). 2, 47 Let k = 80 + -60. Suppose 0 = -t + 4*v + 20, -7*v + 2*v = k. Suppose -3*j + 777 = t*j. List the prime factors of j. 3, 37 What are the prime factors of -9*(8/(-468))/1 - 258432/(-52)? 2, 5, 7, 71 Suppose 297*f - 4662253 - 13950440 = 0. List the prime factors of f. 29, 2161 Suppose 5*m - 4*s - 2881 = 0, -15*m = -10*m + s - 2886. Let n = m - -471. List the prime factors of n. 2, 131 Suppose 0 = -2*s, r + 2*s + 1516 = -0*r. Let j = 2547 + r. List the prime factors of j. 1031 Suppose 1815 = 41*b - 36*b. Let p be (-4)/(-14) + b/77. Suppose j + 0*j = -p, 5*m = 2*j + 265. List the prime factors of m. 3, 17 Let l be 4/1 - 39/3. Let t(h) = -h**3 - 10*h**2 + 14*h + 3. Let m be t(l). Let y = 310 + m. What are the prime factors of y? 2, 53 Let j = -10169 + 22398. What are the prime factors of j? 7, 1747 Let c be 4/18 + (-4)/(-54)*-3. Suppose 3*v - 6*v + 426 = c. Let p = 291 - v. What are the prime factors of p? 149 Let v(p) = -6*p - 2. Let s(n) = n - 1. Suppose -2*i = -2, -f + 0*f = -4*i + 7. Let y(t) = f*s(t) + v(t). What are the prime factors of y(-9)? 2, 41 Let a be (-2)/(-2*(-5)/35). What are the prime factors of (-95)/(-133) + (-5749)/a? 2, 3, 137 Let g(s) = -16*s - 236. Let j be g(-15). Suppose a - 7*n - 279 = -2*n, 5*a - j*n - 1290 = 0. What are the prime factors of a? 2, 127 Let c(y) be the third derivative of y**4 + 235*y**3/6 + 249*y**2. List the prime factors of c(19). 691 Suppose -72920 = -26*m - 19*m - 9155. Let c be ((-16)/12)/(4/(-6)). Suppose 3*s + 2*s = c*r + 1422, -m = -5*s - 3*r. What are the prime factors of s? 2, 71 Let p be (3 + -15)*(-4 - -7)/(-9). Suppose k = -p*z - 129, 0 = 6*z - 8*z - 2*k - 60. Let b = 68 + z. What are the prime factors of b? 5, 7 What are the prime factors of 91/(-1001) - 550410/(-33)? 13, 1283 Let r(o) = 930*o**2 - 347*o + 1032. What are the prime factors of r(3)? 3, 929 Let d be (-148)/(-6)*((-4)/(-8) - -1). Suppose d*h + 476 = 38*h. List the prime factors of h. 2, 7, 17 Suppose 66*o - 65*o = 2. Suppose 0 = -o*r + 3*y + 9, -2*r + 4*r + y - 29 = 0. List the prime factors of r. 2, 3 Suppose p = 4*r - 20 - 7, -5*r + p = -35. Suppose -9*w + 20 = -r*w. Let c = 37 - w. List the prime factors of c. 17 Suppose -8*c + 4303 = -5673. What are the prime factors of c? 29, 43 Suppose -u + 679 + 1058 = 0. Suppose 0 = -5*m - 527 + u. Let g = -133 + m. What are the prime factors of g? 109 Let f = 48 - 51. Let s be (-16 + 19)/(f/(-646)). Suppose -3*l = -0*l - 4*p - s, -l = -p - 216. List the prime factors of l. 2, 109 Suppose 0*l = 4*l + k - 1390, k = -3*l + 1043. Suppose -h - h - 689 = 5*g, -3*g - l = h. Let d = -227 - h. List the prime factors of d. 3, 5, 7 Let c(x) = 47*x**2 - 9*x - 17. Let z be c(-4). Suppose -l + 1934 = 2*i, -i - 2*l + z = -202. List the prime factors of i. 5, 193 Let v(a) be the third derivative of a**5/60 - 7*a**4/24 + 2*a**3 - 15*a**2. Let o be v(6). What are the prime factors of o/(-2)*(-792)/27? 2, 11 Suppose -3*w - 2*w = -365. Let j = w - 71. Suppose 4*t = -3*p + 461, 3*p - 5*t - 179 = j*p. What are the prime factors of p? 3, 53 Suppose 49*a - 48*a + 5*l = 2891, 5*a - 5*l = 14335. List the prime factors of a. 3, 11, 29 Let k = -38710 + 62374. What are the prime factors of k? 2, 3, 17, 29 Suppose -53 = -12*a + 7. Suppose 3*d + b - 861 = -2*b, -d + a*b = -317. List the prime factors of d. 2, 73 Let z be (0 - 110) + 20 + -25. Let y = z + 441. List the prime factors of y. 2, 163 Let t = -61 + 141. Suppose 2*z - 8 = 4. Suppose -t = -2*r + 5*o, 39 = r - z*o + 3*o. What are the prime factors of r? 3, 5 Suppose 278*r - 276*r - 10158 = 0. Suppose -83*v - r = -86*v. What are the prime factors of v? 1693 Suppose -19*m - 11200 = -3*m. List the prime factors of 2/(8 + -6) + m/(-1). 701 Let t(j) = 401*j + 303. List the prime factors of t(18). 3, 23, 109 List the prime factors of 10111/8 - (-21)/(-14)*(-2)/24. 2, 79 What are the prime factors of (-62 + 0)*((-48267)/(-18))/(-31)? 31, 173 Let l(c) = -c - 2. Let b be l(11). Let f = b - -13. Suppose 6*j - 4*j - 132 = f. What are the prime factors of j? 2, 3, 11 Suppose 3*d = 36 - 30. Let l(o) = -41*o + 15. Let h be l(-7). Suppose 8*m - 775 = 3*m + p, -d*m + h = -2*p. What are the prime factors of m? 2, 3, 13 Let f = 341 - 92. Let g be (-4)/(-24) + f/18. Let s(q) = -q**3 + 16*q**2 - 18*q - 8. What are the prime factors of s(g)? 2, 3, 11 Let v(y) = 98*y - 186. Suppose 21*m - 214 + 4 = 0. What are the prime factors of v(m)? 2, 397 List the prime factors of (-58 + 23)*6/21 - -10861. 3, 3617 Let l(i) = i**3 - 21*i**2 + 7*i - 40. Let b be l(22). Let k = 900 - b. Suppose -15*r + k = -13*r. List the prime factors of r. 151 List the prime factors of (-13 + 5 - -6)/(-2*1/26692). 2, 6673 Suppose -4*f - i = -2*i - 503, 2*f - 244 = -2*i. Suppose z - f = 178. What are the prime factors of 6/(36/z) + (-1)/2? 2, 5 Let r be (-8)/(-12) - (9938/(-6) + -6). Let m = r + -944. What are the prime factors of m? 719 Suppose -33789 = -h + 3*r, -70 = -3*r - 64. What are the prime factors of h? 3, 5, 751 Let w(i) = 2*i**2 - 20*i + 21 - i**2 + 11*i. Let l be w(6). Let n(t) = -t**3 + 2*t**2 + 3*t + 4. What are the prime factors of n(l)? 2 Let q(d) = -1436*d + 13. Let o be q(2). Let p = o - -4197. What are the prime factors of p? 2, 3, 223 Suppose 5*p - 18905 = -3730. Suppose -5*h = -8*h + 2*o + p, -5*o = 4*h - 4039. What are the prime factors of h? 3, 337 Suppose 0*k = -16*k + 1344. Suppose 80*t - k*t = -1892. List the prime factors of t. 11, 43 Suppose 4*h - 4*m + 863 = m, -3*h + 2*m - 649 = 0. Let c = h + 286. What are the prime factors of c? 3, 23 Let q = 37282 - 11831. List the prime factors of q. 31, 821 What are the prime factors of 392/(-360)*-31611 - (-14)/105? 34421 Let j(p) = -2*p**3 + 38*p**2 + 9*p - 67. Let i(m) = m**3 - 20*m**2 - 5*m + 33. Let q(r) = -7*i(r) - 4*j(r). What are the prime factors of q(12)? 5 Suppose 0 = -5*a + v - 85, 0 = 2*a - 4*v - v + 11. Let i = a - -256. List the prime factors of i. 2, 7, 17 Let t(r) be the first derivative of 5*r**3/3 + 2*r**2 + 16*r - 53. What are the prime factors of t(-16)? 2, 7, 11 Suppose -5*b + 4229 + 71 = 0. Suppose -3*w = -2*v - 2*w + 428, 0 = -4*v + 3*w + b. List the prime factors of v. 2, 53 Let n be 4*(-10)/280 + (-239)/(-7). Let x(u) = u**3 - 35*u**2 + 39*u + 29. What are the prime factors of x(n)? 199 Let c(g) = 759*g - 747. List the prime factors of c(25). 2, 3, 7, 31 Suppose 692268 = 20*r - 10*z + 11*z, -4*r - 2*z + 138468 = 0. List the prime factors of r. 34613 Suppose -24 = -2*w - 4*c, 4*w + 0*w - 3*
{ "pile_set_name": "DM Mathematics" }
8.004. Let p = d + -1.09. Is 1 equal to p? False Let v = -13 + 3. Let x(u) = u**3 + 10*u**2 - 4*u + 64. Let t be x(-11). Is t < v? True Suppose 6 = c + 16. Let i(o) = -o - 11. Let v be i(-6). Let s be (v + 6)/(1/(-9)). Which is smaller: s or c? c Let i = 10 - 21. Let f(w) = -w**3 + 20*w**2 - 22*w - 504. Let t be f(17). Is i smaller than t? False Let d = -3192 - -3191.8. Which is smaller: d or 0.137? d Let s = 0.0739 + 0.15. Let c = -0.0239 + s. Let b = 42 - 70. Are c and b unequal? True Suppose 5*a = -3*q + 83, -5*q + 2*a + 97 = -0*a. Suppose -2*n = b - q, n - 4*n + 2*b + 42 = 0. Suppose n*p - 20 + 8 = 0. Is 1/91 less than or equal to p? True Let o = 21 + -21.16. Let n = o + 0.46. Let v = -50 + 199/4. Which is smaller: v or n? v Let o = 53 - 15. Let w be 6 - (-11)/22*64. Are w and o non-equal? False Let u(a) = a**3 + 4*a**2 + 2*a + 8. Let v be u(-4). Suppose -p + v*h + 44 = 2*h, 4*h + 72 = 2*p. Suppose 86 = -9*s - p. Is -14 smaller than s? False Let f(y) = 74*y + 6142. Let a be f(-83). Is -1/6433 smaller than a? True Let r be 5*(-15)/7 + 0/4. Suppose 4*u - 13 = 3. Let k(w) = w**3 - 6*w**2 + 3*w + 9. Let a be k(u). Which is smaller: a or r? a Let w(c) = 7*c**2 + 14 - 2*c - 9*c**2 + 22*c + 10. Let r be w(11). Suppose 0*i = -r*i + 16. Which is greater: i or 9? 9 Let c = -8699/75950 + 7/62. Which is greater: c or 0? 0 Suppose -604*m = -608*m + 4. Is m != 9/409? True Suppose -k - 5*q = -20, 2*q - 13 + 5 = 0. Do k and 4/1043 have the same value? False Let z = -23591/6 + 3932. Does z = 0.1? False Suppose 0 = -86*c + 84*c + 10. Suppose c*t = 15 - 0. Let u be 45*((-24)/(-20))/t. Are 19 and u nonequal? True Let j = 667 + -539. Let f be (-7 - -9) + -4 + 251/j. Which is smaller: f or 0? f Let f be (170/28 + -6)*18. Let l = 24 - 18. Let j = -6 + l. Which is bigger: f or j? f Suppose -5*y + 87 = 8*c, 5*y - 31 = 2*c - 34. Let o = 13 - 7. Which is smaller: y or o? y Let i = 12684 - 12663. Is i at most -2? False Let c = -44468 - -15608246/351. Are -1 and c equal? False Let m = -14 - -17. Suppose y - 4*k - 1 = 0, m*y + 5*k = k + 35. Let q(p) = -4*p + 42. Let u be q(y). Is u equal to 2? False Suppose -2*d + n = 1240, 0 = -2*n + 22 - 26. Which is smaller: -622 or d? -622 Let o = 8288 + -8601. Is -312 at most o? False Let x(g) = -3*g**3 - 3*g**2 + 1. Let h = 40 + -42. Let j be x(h). Let d be -1 + j/11 - (-1833)/143. Which is bigger: 14 or d? 14 Suppose -4*z - 15 = 5*q, 2*z = -2*z + 5*q + 15. Suppose -y - 6*y - 1218 = z. Is y less than -174? False Let k(b) = 5*b**3 - 29*b**2 + 22*b - 9. Let v be k(5). Is -4/111 < v? True Suppose 2*a + 90 + 57 = -79. Is a less than or equal to -115? False Let z(k) = 112*k**2 + 34 + 52*k - 50*k**2 + k**3 - 41*k**2. Let s be z(-18). Which is smaller: s or 73? s Let t = -4 - -9. Suppose 0 = 7*o - 2*o - t. Let g = 337/62578 + -6/467. Is g >= o? False Let p = -32 - -47. Let a(m) = -m**2 + 13*m + 18. Let w be a(p). Let s = 0.194 - -4.806. Which is smaller: w or s? w Suppose -d + 129 = 128. Let t be d*6/(-120)*4. Which is bigger: t or 36? 36 Let y = 0.0088 - 11.0088. Which is smaller: 11.5 or y? y Let g(l) be the first derivative of 19*l**2 + 42*l - 14. Let t be g(-4). Let y be 1/((-9)/6)*(-45)/t. Which is smaller: y or 1? y Suppose -779*b + 800*b = -32340. Which is bigger: b or -1539? -1539 Suppose 65066 = 107*y + 856973. Is y at least as big as -7404? True Let w(b) = -14*b**2 + 12*b**2 - b + 3*b + 3 + 20*b**2. Let a be w(-2). Suppose -16*o = -x - 21*o + 60, -2*x + 134 = 3*o. Is x smaller than a? True Let s = 0 - 1. Let u be (5/(-35))/((-24)/252)*100/(-3). Which is greater: u or s? s Let u = 470/633 - -30658/57603. Is u greater than 2? False Let o(u) = 2*u**3 - 8*u**2 + 6*u - 15. Let m be o(6). Suppose 5*z - 2*k + 198 = 0, 5*k + m = -4*z - 0*k. Which is smaller: -38 or z? z Let f = -123 + 119. Let b be -6 - ((f - 47) + -1). Is 49 <= b? False Let j be (-6)/9 + 29/12. Let s = 1009 - 7053/7. Is j >= s? True Suppose 0 = 6*p + 5*p. Let a be ((-6)/4)/(5/70). Let g = a + 18. Is g > p? False Let v = 60 + -59. Let h be (v - 0)/(4/20). Let x = h + 0. Which is bigger: 30/7 or x? x Let b = 671 - 7453/11. Is b at most -3/7? True Let d be 14/(-10) - ((-14)/10 - -1). Let h be 42/(d - -3) + 3/3. Let a(q) = -q**2 + 22*q + 15. Let s be a(h). Is 14 less than or equal to s? True Let g = 93 + -30. Suppose -g - 37 = -20*k. Suppose 2*y = -3*h - 17 - 19, -5 = 2*h - k*y. Which is bigger: -14 or h? h Let m = -382 - -15660/41. Let j = -773/123 + m. Does j = -5? False Let i = 0.5 + -0.5. Let h(t) = -2*t - 31. Let a(y) = 6*y + 94. Let k(l) = 4*a(l) + 11*h(l). Let p be k(17). Which is smaller: i or p? i Let j = 9.258 - 9.158. Is -3821 less than j? True Let y = 188 + -195. Let f(j) = -j**2 - 11*j - 46. Let c be f(y). Which is greater: -20 or c? c Let x be (-87)/72 - 6/9. Let d(t) = -3*t - 25. Let q be d(-9). Suppose -14 + 12 = q*r. Is r greater than x? True Let z = 712 - 71910/101. Suppose 4*c + 4*j - 16 = 0, -2*c - 3*c + 5*j = -10. Suppose 0 = -c*s - 3 - 0. Is z less than s? False Let k = 42 - 51. Let c be (-2)/k - 437733/(-9072). Let g = -97/2 + c. Is -1 greater than or equal to g? False Let p = 580.7 + -638.28. Let b = p - -57.6. Which is smaller: b or -10? -10 Let m be 3 - 5 - (41730/(-22960) - (-6)/(-42)). Which is smaller: -1 or m? -1 Let c be (-9)/(-4)*151000/4530. Let h be -2*(147/(-4) + 0). Which is smaller: h or c? h Let w = 147.459 + -0.459. Let z = 149 - w. Is z smaller than 0.042? False Let n = -28700 + 23406. Is n less than -5294? False Suppose -5*s - 7 = 4*r, 8 = 32*r - 34*r - 4*s. Which is smaller: r or -528? -528 Let h = -96 - -99. Suppose p = -h*p - 3*v + 35, 2*v - 38 = -4*p. Suppose -2*j = p - 1. Is j at most -3/2? True Let t(l) = -2*l**2 - 87*l - 9. Let i be t(-44). Are i and -51 unequal? True Let l(v) be the third derivative of -v**6/120 - 19*v**5/60 + v**4/24 + 19*v**3/6 - 4*v**2 + 30. Let o be l(-19). Which is greater: 32/39 or o? 32/39 Suppose -2*l + 360 = 6*l. Suppose -43*b = -l*b + 800. Suppose 5*q + 40 = b. Are q and 72 unequal? False Let k be ((-7)/((-140)/136))/(1/5). Suppose -k*p - 3988 = -792. Do p and -95 have different values? True Let d = 2460 + -2458.3. Which is smaller: d or -79? -79 Suppose -2*j + 188 = 5*z, -z + 2*z - 424 = -5*j. Let a be 89/(-4 - j/(-20)). Let n be a/(-149) + (3 - 0). Which is bigger: n or 0? n Let j = 190 + -191.96. Let m = j + -31.04. Are m and 0.2 unequal? True Let t be 460/100 - 4/(-10). Let v be t/(10/(-8)) + (0 - 45). Let x be v/(-6) + (-2)/2. Is 7 bigger than x? False Suppose -2*m - 4 = 0, -2*m + 18 = -h - 0*h. Suppose -41*z = 4*q - 89*z + 45*z + 72, -5*z + 40 = 0. Are q and h non-equal? True Let h(y) = -y**2 + 39*y - 97. Let k be h(35). Let o = -98 + k. Is o greater than or equal to -56? True Suppose -20*p + 13*p = -28. Suppose -p*b = 17 + 23. Let f(y) = -4*y - 54. Let a be f(b). Which is bigger: -16 or a? a Suppose 0 = -318*w + 309*w + 90. Let j be (5 - 0) + w + 0/(-3). Which is smaller: j or -4? -4 Let r(j) = j**2 - 232. Let p be r(14). Which is smaller: p or -35? p Let r = -2831 + 2825. Which is smaller: r or -1008? -1008 Suppose -37*d - 8517 = 3*d + 6203. Which is smaller: d or -362? d Let p = 18278 - 18277. Let j = -1337 - -38767/29. Does p = j? False Let h(f) = f**2 - 15*f - 44. Let w be h(10). Let z = 223 + -128. Let m = w + z. Is m less than 3/53? False Let q(g) = -4*g**2 + 1. Let y be q(1). Let a = -2 - y. Let t be 3/21 - ((-24075)/(-3885) - 6). Does t = a? False Let y be 2/(24/(-4852))*3/((-54)/(-99)). Is -2223 less than or equal to y? False Let s = 2.927449 + 0.072551. Let d = 2.29 + -2.4. Which is smaller: d or s? d Let w = 0.52784 - 0.42784. Let m = -13 + 93. Is m smaller than w? False Let l(z) = z + 43. Let h be l(-26). Suppose 15*c + 52 = h*c. Which is greater: c or 161/6? 161/6 Let q = -0.06 + 100.06. Let x = q + -54. Let v = 46 - x. Is -3/14 < v? True Let x = -15252 - -808342/53. Let c = -8 + 8. Which is smaller: x or c? x Let o = -0.51 + 43.51. Let x = 1071 - 1113. Let f = x + o. Which is greater: f or 8? 8 Let h = -1600 - -1600. Let q be 0/(-3) + (-5836)/50300. Let t = q - 2/503. Which is bigger: h or t? h Let f(v) = -9*v - 13. Let s(p) = -64*p - 90. Let i(u) = -44*f(u) + 6*s(u). Let t be i(-6). Is t at least 1? False Let k = 23947 + -23934. Which is smaller: k or 69? k Let o be 8/
{ "pile_set_name": "DM Mathematics" }
2 + 2. Let s be p(-13). Let l be 3 - 1 - (-10)/(-6). Let f = s - l. Which is the third biggest value? (a) 1 (b) f (c) 3/4 c Let j = 17.9997 - -0.0003. Which is the biggest value? (a) 0 (b) j (c) -2 (d) -2/5 b Let p = 3/5 + -1/35. Let z be 58/12 - (42 + -37). Which is the smallest value? (a) p (b) z (c) -0.2 (d) -0.3 d Let d = -137 - -551/4. Suppose 4*q + 3*b = 7*b + 40, 30 = 2*q + 3*b. Suppose -3*k + q = 0, h = -4*h - k - 21. What is the biggest value in d, h, 0.3? d Suppose p + 13 = 2*o + 2*o, 3*p = -4*o + 25. Let s be o/12*(-42)/2. Let x = 11 + s. What is the second biggest value in 0.1, 1, x? 1 Let p = 23 + -12. Let v = p + -9. Let y be ((-7)/14)/(v/(-4)). Which is the biggest value? (a) 2/23 (b) y (c) -1 b Let z = 225/2 - 113. Let g = -2.99 + 3. Let x = g + -0.31. What is the biggest value in z, 0.4, x? 0.4 Let g = 3.65 + -2.65. What is the fourth biggest value in 2/47, -0.4, 4, g? -0.4 Suppose 3*j + 0 = 60. Let u = -5 + 31/6. Which is the smallest value? (a) j (b) u (c) -0.1 c Let z = 570 - 564.94. Let i = z - 0.06. Let y = i - 4.7. What is the third smallest value in -0.4, -1/6, y? y Suppose 4*l - 2*l + 2 = 0. Let y be 3/l + 11 + -3. Suppose 0 = -3*z + 3*x + 3, y*z - 2*x + 2 = z. What is the third biggest value in z, -2/21, -2/17? z Let k be ((-120)/45)/((-1)/(1/(-11))). Which is the third biggest value? (a) -5 (b) 1/4 (c) k a Let f = -0.1604 - -0.1604. Which is the third biggest value? (a) f (b) 1 (c) 36 (d) 3 b Let w = -379 - -447. What is the third smallest value in w, 0.4, -3? w Let c be (-1 + (-7)/(-10))*(-6)/(-6). Let w = 37 - 39. What is the second smallest value in w, c, 1? c Let r = 4/13 - -1/39. Let x = -0.17 + 3.17. Let y = 12 - 12. Which is the third smallest value? (a) x (b) r (c) y a Let q = 17.83 + -17.93. Which is the third biggest value? (a) q (b) -2/3 (c) -15/17 c Let p = -0.0543 - -0.0243. What is the smallest value in 0, p, -0.4, 0.2? -0.4 Let f = 21.011 + -0.011. Let n = f - 20.9. Which is the second biggest value? (a) -0.4 (b) n (c) -0.1 (d) 2/3 b Let p = 47.625 - -0.375. Which is the third smallest value? (a) -0.1 (b) p (c) -0.5 b Suppose -22*x = -4*x + 54. Let y = -5.8 - -6. What is the smallest value in y, x, 2/7? x Let y = 7.4 + -2.4. Which is the biggest value? (a) y (b) -1 (c) -0.4 (d) 2/9 a Let m = -696.7 + 697. What is the biggest value in -1, m, 0.18, 2? 2 Suppose -2*i = 3*v + 52, 3*i - 3*v + 53 + 55 = 0. Let n = -41 - i. Suppose 3*p + 4 = 5*p. What is the third smallest value in -2/3, p, n? p Let a = -0.57 + 0.77. What is the smallest value in a, -1, 2/13? -1 Let s = 47/4 + -509/44. Let t = -8.1 + 3.4. Let i = 0.7 + t. What is the smallest value in i, s, -0.5? i Suppose -5*o + 10 = -10. Let q = -0.3385 - -0.0385. What is the smallest value in q, -2, 0, o? -2 Let h = -494/363 - -164859/605. Let j = 271 - h. Which is the biggest value? (a) 0.1 (b) j (c) -4 a Let v be (-355)/90 - (-2)/(-4). Let r = -46/9 - v. Let y be (-16)/(-10)*(-15)/6. Which is the smallest value? (a) y (b) -4/3 (c) r a Let s be 14/3 + 2/6. Let r = 227 - 2041/9. What is the second biggest value in -5, r, s? r Let n = -4.62 - -4.52. Let y = -0.29 + -0.01. Let s = 119/40 - 19/8. Which is the biggest value? (a) s (b) y (c) n a Let z be 1 - 7/((-70)/(-820)). What is the second biggest value in 2/11, -3, z? -3 Let z be 3/(-2) - (-731)/602. What is the second smallest value in 0, z, 2, -5? z Let t = 19 - 18.91. Suppose 41*y + 109 - 21 = 6. Which is the second biggest value? (a) -1 (b) 4 (c) y (d) t d Suppose l - 6*l = -230. Let s = -8 + 14. Let j be 2/s + l/(-102). Which is the second biggest value? (a) -2/5 (b) j (c) 2/7 b Suppose -7*f + 3*f = 4*q - 20, 2*q + f - 5 = 0. Let n be 2/3*(1 + (-2 - q)). Which is the second smallest value? (a) -2/11 (b) 5 (c) 0 (d) n a Let g be ((-5)/15 - -1)/((-15)/9). Let s = 0 + g. Which is the fourth smallest value? (a) -0.3 (b) -1/4 (c) -1 (d) s b Let o be 5/(-7)*168/210. Let m = 0.2 + -0.2. Which is the biggest value? (a) -0.09 (b) o (c) m c Let x = -9.2 + 9. Let h(w) = -3*w + 5. Let u(p) = 2*p - 3. Let j(r) = 3*h(r) + 5*u(r). Let l be j(10). Which is the smallest value? (a) l (b) 2/7 (c) x c Suppose 2*v - 13 = -23. Which is the fourth smallest value? (a) v (b) 0.4 (c) 3 (d) -2 c Let t be (10/6*3 + -3)*2. Suppose 5*w - 3*w + 5*q - 14 = 0, 0 = -t*w - 2*q - 4. Which is the third smallest value? (a) 1 (b) w (c) 3/8 (d) 2/9 c Let m = 17.05134 + -0.05334. Let k = 0.002 + m. Which is the fourth smallest value? (a) 0.4 (b) k (c) 5 (d) 1/10 b Let k = 6.21 - 6.61. Let r be (-4)/(-5) + (-16)/40. Which is the second biggest value? (a) -7 (b) r (c) 5/4 (d) k b Let o be (5/(-25))/(3/(-45)). What is the fourth biggest value in -3/5, -1, 3/31, o? -1 Let n = 4812.84 + -4813. Let i = -4 - -1. What is the third biggest value in 1/3, n, i? i Let p = -0.051 - 0.149. Which is the smallest value? (a) 0.09 (b) 2/11 (c) p c Let t = -10.7 - -310.7. What is the third biggest value in -1, t, 4? -1 Let n = -3 + 2.8. Let t be -3 + 74/26 + (-40440)/273. Let m = t + 148. Which is the smallest value? (a) 0.5 (b) m (c) n b Let f = 3.24 - 2.84. Which is the third smallest value? (a) f (b) -8 (c) 2/19 a Let v = -385 + 386. Which is the biggest value? (a) 2 (b) 2/67 (c) v a Let l = -26.1 + 29.1. Let v = -14.4 + 14. Which is the third smallest value? (a) -5 (b) v (c) l (d) 3/2 d Let b = -11410/17 + 118942/153. Let d = b + -106. What is the third biggest value in -0.5, d, 4? -0.5 Let i = -43/231 - -2/21. Let f = 0.9 + -1.3. Let s = f + 4.4. Which is the third smallest value? (a) s (b) i (c) 0.2 a Let y = 20.13 - 20.1. Which is the biggest value? (a) -5 (b) y (c) -2 b Let i = -1004 - -1009. Let q = 1 - 0. Let d = 2 + q. What is the second biggest value in -4/5, i, d? d Let c be -6 - (3 + -3 + -3). Let f = -7 - -10. Let m = -3.4 + f. What is the third smallest value in c, -0.1, m? -0.1 Let o = 37.21 + -1.21. Let v = o - 37. Which is the second smallest value? (a) -5 (b) 9/7 (c) v (d) 1/5 c Let a = -0.1951 + 23.1951. What is the second biggest value in -8, -2, a? -2 Let h = -2193 + 2157. Let g = 307/209 - 15/11. What is the second smallest value in -0.5, h, g? -0.5 Let s = 794 + -789. What is the fourth smallest value in s, 10, 2, 4? 10 Let k = 8 - -6. Let x = -13.7 + k. Which is the smallest value? (a) 0.4 (b) 2 (c) x c Let t = 6 - 5. Let i = 2 - t. Let l be (14 + 1)/5 - 1. Which is the biggest value? (a) -2/13 (b) l (c) i b Let x = 0.2 - -6.8. Let u = 119 + -951/8. Let q = 0.86 - 0.36. Which is the second smallest value? (a) q (b) x (c) u a Let v = 0.5 + -1. Suppose 0 = -2*f + f - 5*k + 1, -3*f = -5*k - 3. Suppose 5*j + f = 6*j. Which is the smallest value? (a) j (b) v (c) 2 b Let k(l) = l**2 + 11*l - 8. Let t be k(-12). Suppose 3*u = -t*o - 4 - 1, -u - 19 = -3*o. Let i = 6.5 + -7. What is the second smallest value in i, -1, u? -1 Let o = 0.05 + -1.29. Let w = -0.24 - o. Let j = -3 - -3. Which is the third smallest value? (a) w (b) 4 (c) j b Let g = -35 - -40. Let z = 274 - 273. Which is the smallest value? (a) z (b) -3.2 (c) g b Let f = 507/1016 + 1/1016. Which is the fourth biggest value? (a) 0 (b) f (c) -5 (d) -15 d Let y = -2.8 + -12.2. Let q = 11 + y. Which is the third smallest value? (a) q (b) -2 (c) 0 c Let n = 10.29 + -0.29. Let g = -16 + n. Let w = 6 + g. Which is the smallest value? (a) 1 (b) -0.13 (c) w b Let s = -149 + 593/4. Let i(t) = t**2 + 8*t - 6. Let m be i(-9). Which is the biggest value? (a) -0.01 (b) s (c) m c Suppose 41*w - 26*w = 60. What is the fourth smallest value in w, 3, -0.3, -22? w Let i = 25 - 36. Let c = i + 12.8. Let y = c + -1.7. What is the smallest value in -4, y, 6? -4 Let j be -3 + 0 + 11/5. Let t = 3.6 - 8.7. Let o = -0.1 - t. Which is the smallest value? (a) j (b) o (c) -8 c Let y be (-10 - -10)/(1/1). Let n = 83/5 - 16. What is the second smallest value in 5, -0.5, n, y? y Let m = 1.5 + -21.5. Let i = m + 8. Let f = 11 + i. What is the second smallest value in f, 1, -3/7? -3/7 Let t(z) = 10*z**2 + 38*z - 9. Let i be t(-4). What is the second smallest value in -40, i, 0.4? i Suppose 2*r - 3*z = 8, r - 2*z = -z + 2. Let o = -0.4 - 2.6. Which is the second bigge
{ "pile_set_name": "DM Mathematics" }
1b7a1 In base 15, what is 2b - -176e? 179a In base 2, what is 101010001000011010111010 + 111110? 101010001000011011111000 In base 8, what is -43527 - -307? -43220 In base 11, what is 2 - 2499957? -2499955 In base 9, what is 2406 + -48258? -45752 In base 13, what is -b408 + -468? -b873 In base 10, what is -7856987 - -5? -7856982 In base 16, what is 2f6 - -3edd? 41d3 In base 11, what is -138a9a + 2a? -138a70 In base 16, what is cd - 47ec? -471f In base 7, what is -10432 - 12625? -23360 In base 11, what is -5a23 + 913? -5110 In base 4, what is 301 - -2220110333? 2220111300 In base 2, what is -10 - -10010000111011110110110? 10010000111011110110100 In base 10, what is 5 - 126780610? -126780605 In base 11, what is -4 + -2030828? -2030831 In base 13, what is -11 + 9b5322? 9b5311 In base 16, what is -657 + -9e6a? -a4c1 In base 9, what is -6072 - -613? -5358 In base 9, what is 1556682 + 10? 1556702 In base 9, what is 26411462 + -23? 26411438 In base 6, what is 1300530530 + 2? 1300530532 In base 6, what is 121 - 155152032? -155151511 In base 2, what is -1001100101011100 - -10001100? -1001100011010000 In base 13, what is 1364aa3 - 2? 1364aa1 In base 16, what is 4 - -d0283? d0287 In base 8, what is -202476035 + 3? -202476032 In base 11, what is -1 - -36a6627? 36a6626 In base 5, what is -1310324121420 - -10? -1310324121410 In base 7, what is -4536 - -21533? 13664 In base 16, what is -c + -7e9f7b? -7e9f87 In base 11, what is 2859 - -712? 3470 In base 4, what is 131321 - 202100102? -201302121 In base 13, what is 11 - 2235ab? -22359a In base 10, what is 3738 - -2612? 6350 In base 10, what is -13816 - -167? -13649 In base 4, what is -2122 + 3032312000? 3032303212 In base 4, what is -103113 + 13312203? 13203030 In base 15, what is 219063 + -49? 219019 In base 4, what is 2 + 101331121101? 101331121103 In base 9, what is 2765 + -306? 2458 In base 4, what is 1012 + -2002323200? -2002322122 In base 12, what is -3 - -1738764? 1738761 In base 14, what is -b0307c - 2? -b03080 In base 11, what is -386 - 25668? -25a43 In base 10, what is -37 - -199104? 199067 In base 6, what is 53220 + -101100? -3440 In base 13, what is -2a + 2082153? 2082126 In base 7, what is -24 + -306504032? -306504056 In base 7, what is -161135 + -225? -161363 In base 12, what is 8175a487 - 4? 8175a483 In base 7, what is 52000146 + -3? 52000143 In base 3, what is 1102 + 1110121020? 1110122122 In base 5, what is -1 + -10044011021? -10044011022 In base 9, what is 633 + 718886? 720630 In base 7, what is 41311 + -5665? 32313 In base 11, what is -4a4226 - -63? -4a4173 In base 6, what is 301140 - -315? 301455 In base 10, what is -84512 + 7812? -76700 In base 7, what is -11225562 + 0? -11225562 In base 10, what is -11 - 20776600? -20776611 In base 9, what is -157 + 528525? 528357 In base 14, what is b12 + -1710? -9dc In base 8, what is -2 + 12274663? 12274661 In base 10, what is 406 + -13249? -12843 In base 5, what is -2 + -34222100432? -34222100434 In base 15, what is 46490 + 2cc? 4676c In base 7, what is -346420422 - 0? -346420422 In base 5, what is -33 + -102441240? -102441323 In base 6, what is -1300 + 23321125? 23315425 In base 16, what is -40 - 51f78? -51fb8 In base 10, what is -581 - -12147? 11566 In base 5, what is 112023302 - 230? 112023022 In base 11, what is -7 - -20137130? 20137124 In base 9, what is 53601507 - 1? 53601506 In base 5, what is -4030020430120 - 2? -4030020430122 In base 13, what is -28143b5a - -4? -28143b56 In base 6, what is -2432 + 135155? 132323 In base 14, what is 2609 + 660? 2c69 In base 16, what is be169 + -7? be162 In base 8, what is -1 - -1624662125? 1624662124 In base 15, what is -1 - -5d35433? 5d35432 In base 6, what is -520 + 23432031? 23431111 In base 3, what is 10021111002 + 2120? 10021120122 In base 13, what is 3 - -15901526? 15901529 In base 9, what is 471561 - 480? 471071 In base 14, what is -c3 - -724? 641 In base 12, what is 6 - 35115? -3510b In base 7, what is 610125310 - 2? 610125305 In base 8, what is 1 + 137521352? 137521353 In base 2, what is 0 - -1100111001101010010111101? 1100111001101010010111101 In base 16, what is -27152aa + 3? -27152a7 In base 4, what is -3 - 2012222031? -2012222100 In base 5, what is -124211432111 - -1? -124211432110 In base 11, what is -1 - 14058868? -14058869 In base 6, what is -5 + -2530114001? -2530114010 In base 3, what is -11002 - 2212101001? -2212112010 In base 3, what is 1001000220002 + -2? 1001000220000 In base 5, what is -430034211234 + -10? -430034211244 In base 5, what is -3423413102 - -3? -3423413044 In base 4, what is -2112 + 1203301? 1201123 In base 8, what is 4544 - -3026? 7572 In base 10, what is 9 - 262212? -262203 In base 14, what is -1d5784c - -4? -1d57848 In base 5, what is 104320122424 - -1? 104320122430 In base 15, what is 4830c + 43e? 4874b In base 16, what is 501 - 3ff1? -3af0 In base 4, what is -3311112113 + 22330? -3311023123 In base 8, what is 211 - -176017? 176230 In base 16, what is 33ea9c5 + -3? 33ea9c2 In base 2, what is -10100111 - -10110100101111001011001? 10110100101110110110010 In base 7, what is 10 - 4463002? -4462662 In base 10, what is -613610 + 3? -613607 In base 12, what is 2b7 - -235a15? 236110 In base 2, what is -111110001101000111100 - 1000? -111110001101001000100 In base 13, what is 1a9c + 2c3? 2092 In base 5, what is 10 - -41134224444? 41134230004 In base 11, what is 1731843 - 4? 173183a In base 10, what is -1 + 3590252? 3590251 In base 10, what is -695 - -60305? 59610 In base 16, what is -13a9edc0 + -1? -13a9edc1 In base 9, what is -10700730 + 7? -10700722 In base 9, what is 38483237 + 5? 38483243 In base 3, what is -112 + -22211221022102? -22211221022221 In base 2, what is 100010 + 11001010011111001000? 11001010011111101010 In base 11, what is -644 + 17a71? 17428 In base 8, what is 211424 - 427? 210775 In base 3, what is -10 + 101200022122? 101200022112 In base 3, what is -2020211221 - 1022? -2020220020 In base 10, what is -13 + -41248? -41261 In base 3, what is 10010112201202 + -1? 10010112201201 In base 11, what is 0 + -13672481? -13672481 In base 5, what is -442340 - -2041? -440244 In base 10, what is -29569 - 73? -29642 In base 14, what is -1606b01 - 2? -1606b03 In base 9, what is 6111336561 + 1? 6111336562 In base 4, what is 3220030022212 - -11? 3220030022223 In base 12, what is 5995 + 765? 653a In base 13, what is 141a8 - -45c? 14637 In base 2, what is -10001110100110 + 101101010000? -1100001010110 In base 14, what is 82 + 2a9d6? 2aa78 In base 2, what is -101111101010111101110 + -101? -101111101010111110011 In base 15, what is -15257 - -15ce? -13b78 In base 5, what is 4133 + 3001300? 3010433 In base 2, what is -10010001 + -110000101100001010000? -110000101100011100001 In base 6, what is -4343 + 135350? 131003 In base 9, what is 8617334 - 113? 8617221 In base 11, what is 3a8 + 978a? a087 In base 15, what is 3 + b5de42? b5de45 In base 11, what is -1a599 + -533? -20021 In base 16, what is -4abe - -7600? 2b42 In base 11, what is -141a + 1a320? 18a01 In base 12, what is 611 + 3268? 3879 In base 9, what is 2265 + 1052? 3327 In base 7, what is -6453422 - 2? -6453424 In base 16, what is 14b2c + -91? 14a9b In base 13, what is -22b06a - -2? -22b068 In base 3, what is -2100 - -2202212000? 2202202200 In base 14, what is 11 + 2646084? 2646095 In base 6, what is 1241 + 3113553? 3115234 In base 13, what is 424 + -702? -2ab In base 10, what is 0 + -1591256? -1591256 In base 6, what is -42205 + -15544? -102153 In base 4, what is 11 - 21031133013? -21031133002 In base 10, what is -3 + -32297251? -32297254 In base 11, what is 3 - -598a53? 598a56 In base 7, what is -22412561 + 16? -22412542 In base 12, what is -18121 + 189? -17b54 In base 2, what is -1001110101001011 - 110001001? -1001111011010100 In base 11, what is 31 - -a6930? a6961 In base 7, what is -1 - 25430541? -25430542 In base 10, what is 5 + -2435703? -2435698 In base 7, what is -2323006500 + 5? -2323006462 In base 5, what is -3 - 443110222? -443110230 In base 15, what is 49111a16 - -4? 49111a1a In base 14, what is -1 - 15d6a5? -15d6a6 In base 4, what is -21122132 - -1303232? -13212300 In base 15, what is -ee812 + -a4? -ee8b6 In base 6, what is -2001 + -22432521? -22434522 In base 6, what is 33352545213 + 2? 33352545215 In base 8, wha
{ "pile_set_name": "DM Mathematics" }
e in 28, 2/3, -0.4, 231, 2, 3? 28 What is the fourth smallest value in 0.1, -0.1, -2/299, 7, 5, -3, -13.4? -2/299 Which is the sixth smallest value? (a) 0.1 (b) -4 (c) 12017 (d) -4/3 (e) -11 (f) -1 c Which is the smallest value? (a) 82 (b) -1/4 (c) 288/17 (d) -0.4 (e) 0.1 (f) 1.8 d Which is the second biggest value? (a) 9/119 (b) 0.02 (c) -79.9 b Which is the fifth smallest value? (a) -44/91 (b) 280 (c) -1/5 (d) -1/3 (e) 5 (f) -3/5 e What is the second smallest value in 12, -2.4, -10, 19/7? -2.4 What is the fifth biggest value in 2, -217, -505, -1, -33? -505 What is the fifth biggest value in 0.07945, 5, -1, -5, 0.8, 34? -1 Which is the seventh smallest value? (a) 1989 (b) 5 (c) -3/7 (d) -2 (e) -5 (f) 1 (g) -0.5 a Which is the fifth smallest value? (a) -40 (b) 0.0498 (c) -0.1 (d) -3 (e) 1/10 (f) 0.3 e Which is the fifth smallest value? (a) -3 (b) 120403 (c) 1/7 (d) -4 (e) 1/2 b What is the second biggest value in -13, -1/68, -3308? -13 What is the fourth biggest value in -0.1, 0.3, 105495, -3, 3? -0.1 Which is the second biggest value? (a) -2.1 (b) 1 (c) 0.5 (d) 0 (e) 7 (f) -0.17 (g) 39 e What is the second smallest value in 38410, 0.6, 30? 30 Which is the third biggest value? (a) -4 (b) 1 (c) -0.5 (d) 45 (e) -5 (f) 0.5 (g) -10 f What is the second smallest value in 0, 55, -3, -96, 6? -3 Which is the second biggest value? (a) 2/11 (b) 285 (c) 3 (d) 0.1555 c What is the second smallest value in -177.8, 0.23, -3/4, -26.2, 2/7? -26.2 Which is the third biggest value? (a) 4.9 (b) 10.2 (c) -737 (d) -3/4 d Which is the second biggest value? (a) -6/5 (b) -8 (c) 4 (d) 336 (e) 2/95 c What is the biggest value in -1168, 16.4, -0.05? 16.4 Which is the second smallest value? (a) 1/713 (b) 5 (c) 3 (d) -8622 a Which is the third biggest value? (a) -18.63237 (b) -3 (c) -6 (d) -0.2 (e) 2/17 b Which is the smallest value? (a) -2 (b) -155 (c) 131142 b What is the third biggest value in 5, 9922, -6293? -6293 Which is the second smallest value? (a) -6 (b) 5 (c) -5 (d) -20.8 (e) -22 d What is the seventh smallest value in 33, -1/7, 2, 0, -2/15, 0.2, 2/9? 33 Which is the sixth smallest value? (a) 243 (b) 55 (c) -5/3 (d) 8 (e) -2 (f) 3 a Which is the fifth smallest value? (a) 4 (b) -5 (c) 17/90 (d) -4 (e) -2 (f) 56 a Which is the fifth biggest value? (a) 36 (b) -1/2 (c) 1.5 (d) -1/6 (e) -5/6 (f) -39 (g) -5 e What is the fourth biggest value in -0.03, -3/14, 654, 0, 0.2, -44, 2/7? 0 What is the third biggest value in 3/4, -1.9561, 1, 3/2, -3? 3/4 What is the third smallest value in -2/13, 597, 57, 1/7? 57 Which is the fourth biggest value? (a) 0.1 (b) -4 (c) 7 (d) -1/5 (e) 0.6 (f) 3/2 (g) -2 a What is the fifth smallest value in 1/2507, -1/14, 5, -4/53, -2/15? 5 What is the smallest value in 0.79, 5.636, -6? -6 Which is the fourth smallest value? (a) -5/3 (b) -2 (c) -32 (d) 13 (e) -5 (f) -0.1 (g) 2/3 a Which is the fifth biggest value? (a) -13 (b) 2/17 (c) -2/19 (d) 4/5 (e) 0.5 (f) 1 (g) 3016 b Which is the third biggest value? (a) -0.28 (b) 0 (c) 286030 a Which is the third smallest value? (a) 1/4 (b) -6 (c) -0.1 (d) 950 (e) 2/7 (f) -43 (g) 0.2 c Which is the second smallest value? (a) -571751 (b) 1.5 (c) 0.3 c Which is the smallest value? (a) -29 (b) -0.1 (c) -13/33 (d) 15 (e) -3 (f) 1/10 a Which is the second biggest value? (a) -0.1 (b) 0.833 (c) 1/4 (d) -157 c What is the biggest value in -4/3, 2/15, 14, -2/63, 1/7, 0.5, 2/17? 14 Which is the fourth smallest value? (a) -6 (b) -0.2 (c) 1 (d) -42 (e) -2.2 (f) 7/6 b What is the fifth smallest value in 0.1, -1, -0.49003, 2/9, -3? 2/9 What is the fifth smallest value in -2/15, 0.02, 65/2, 1, 330? 330 What is the fifth biggest value in 0.1, -1/2, 0.4, -741, 4, -4/7, -1? -4/7 What is the third biggest value in 0, 2, -1/4, -509905/12? -1/4 What is the biggest value in 0.0241, 1195, -1/2, -2/21, 0.4? 1195 Which is the third biggest value? (a) 5 (b) 36 (c) 8/647 (d) -2/9 (e) -4 c What is the third smallest value in 5, 813580, 4? 813580 What is the fourth smallest value in -0.2, -3, 0.73, 13427? 13427 What is the fourth biggest value in -2, -7/6, 4.5, 17, 4/35? -7/6 Which is the second smallest value? (a) -0.2 (b) -432/21215 (c) -1/3 a What is the biggest value in 72, 1, -1611.8, 0? 72 Which is the third smallest value? (a) -0.5 (b) -385 (c) 1277 (d) -0.1 d Which is the second biggest value? (a) 4 (b) 0.0346 (c) 89/61 c Which is the second smallest value? (a) 5703/7 (b) -2/7 (c) -100 b Which is the third smallest value? (a) -2 (b) -0.165631 (c) 0.01 c Which is the sixth biggest value? (a) 0.1 (b) -4 (c) -0.3 (d) 1/3 (e) -1 (f) 1/17 (g) 43690 e What is the biggest value in 1, 4/5, -17852, -2/3? 1 Which is the fourth biggest value? (a) 0 (b) -58/4505 (c) -2239 (d) 5 (e) 4 b What is the fifth smallest value in 3, -5, 19/13, -4/5, 8? 8 What is the second biggest value in -3, 14.1, -2, -0.3, -0.6783, 0.08? 0.08 Which is the second smallest value? (a) -67/22 (b) 29 (c) 80 (d) 4 d Which is the second smallest value? (a) 1.86 (b) -1/3 (c) 985.41 a What is the smallest value in -0.2, 1.6, 25/4, -1/4, 1/3, 2/351, 1? -1/4 What is the biggest value in -82642, -0.54, 3? 3 What is the third biggest value in 21, -24/7, -386? -386 Which is the biggest value? (a) -0.8 (b) 19.072 (c) 5 b What is the fourth smallest value in 5/3, 0, -1547, -30/17? 5/3 What is the smallest value in -5, 0.2, 2, -1115/207, 16? -1115/207 Which is the second biggest value? (a) -0.4 (b) -3 (c) 80910516 a What is the biggest value in 0.12, 38/5, 197? 197 What is the fourth smallest value in -2/152957, -8, 2, -1? 2 Which is the fifth biggest value? (a) -1 (b) -0.2 (c) 4 (d) 2/67 (e) -189.3 e Which is the fourth smallest value? (a) -7/3 (b) 0.2 (c) 4 (d) -5 (e) -0.1 (f) -3/2 (g) -668 f What is the seventh biggest value in -1/8, -2/7, 0.06, 0.87, -1.4, -1/6, 1? -1.4 Which is the third biggest value? (a) 5 (b) 0.216 (c) 0.1 (d) 1113 b What is the third biggest value in 20, 0.3, -5/35741? -5/35741 What is the second smallest value in -27, 1/22, 0, 295? 0 What is the second smallest value in -2, -0.26, 1210/51? -0.26 Which is the fourth biggest value? (a) -5 (b) 9.8 (c) -2 (d) -4 (e) -190 a Which is the fifth biggest value? (a) 3/182 (b) 0.5 (c) 9 (d) -1/4 (e) -826 e What is the third biggest value in -6.778, 0.3, 0.5, 12.9, -2/15, -1, 0? 0.3 What is the seventh biggest value in 26, -7, -4, 1, -0.4, -1/6, -10224? -10224 Which is the second smallest value? (a) -0.2307 (b) 8 (c) 560 (d) 0.2 d What is the third biggest value in -0.2, 2, -0.066, 13.3, 4, 1/22, 5? 4 What is the smallest value in 95/276, 5, 2/1265? 2/1265 Which is the fifth smallest value? (a) -24 (b) -103/5 (c) -1/9 (d) 5 (e) 6 (f) -5 d What is the second biggest value in -4, -3.541, -6743, 2/9? -3.541 What is the biggest value in 4, 20546/19, 0.04? 20546/19 What is the biggest value in -0.3, 2, -26/5725, -4? 2 Which is the fifth biggest value? (a) 1350 (b) -1/5 (c) 0.2 (d) -1/3 (e) -3/5 (f) -2/3 (g) -3 e Which is the biggest value? (a) -0.2 (b) 3/1772 (c) 1.094 c Which is the third biggest value? (a) -1.6 (b) -15/16 (c) -639 c Which is the fifth smallest value? (a) 0.5 (b) 4 (c) -9 (d) -1/6 (e) -0.54 (f) 0.03 (g) 73/2 a Which is the third smallest value? (a) -0.4 (b) 19 (c) -4/11 (d) 0.3 (e) 2/27 e What is the fifth biggest value in -15, 1/5, 816.7, 0.1, -2/11, -0.3, 3? -2/11 What is the second biggest value in -1, -213604, 51? -1 Which is the fourth smallest value? (a) -4 (b) -6 (c) -49 (d) -5074/391 a Which is the fourth biggest value? (a) -70.559 (b) 0.3 (c) -1/3 (d) 0 (e) -1 e What is the second smallest value in -2, -3/8, -2/15, -325, -0.05, -1? -2 Which is the smallest value? (a) -0.01 (b) 0.4 (c) -23633 c What is the third smallest value in -2/1167, -100.5, 13? 13 Which is the smallest value? (a) -1 (b) 4 (c) -1348 (d) 397 (e) 0.3 c What is the smallest value in 943, -136/9, -5? -136/9 What is the second biggest value in -0.5, -1923/307, -20? -1923/307 Which is the third biggest value? (a) -86 (b) 5/4 (c) -2 (d) 3 (e) -0.
{ "pile_set_name": "DM Mathematics" }
r: 0.1 or -19223.3? 0.1 Which is smaller: 0 or -1/21084814? -1/21084814 Which is greater: 20/262769 or 0? 20/262769 Is -9 smaller than 2230? True Are -66856 and -66823 non-equal? True Which is bigger: -241803 or -241805? -241803 Which is smaller: 46672 or 46665? 46665 Which is greater: -5098012/9 or -566446? -5098012/9 Which is greater: -0.003263 or 0.3? 0.3 Is -2690/53 < -51? False Is -282326 > -282333? True Which is smaller: -1 or -327/911? -1 Which is smaller: 1 or 161/1241? 161/1241 Which is smaller: -2 or 105748? -2 Does 500971 = 500972? False Is 1 at most as big as 25/60146? False Is 1 greater than -38/13841? True Which is bigger: -83.1 or -95? -83.1 Which is greater: 391/16 or -131? 391/16 Are 5768/47 and -2 equal? False Which is bigger: 0 or -6/12509? 0 Which is smaller: -2/20269 or 3/14? -2/20269 Is 2246 greater than or equal to 32? True Which is smaller: 1 or 7/21376? 7/21376 Which is smaller: 0 or 31/3035? 0 Is -36141.8 less than -1.2? True Is 2535 < 17740/7? False Which is smaller: 1 or -2/68305? -2/68305 Which is smaller: 8119/475 or 18? 8119/475 Which is smaller: 9919 or -3/7? -3/7 Is -151 >= 9960? False Which is greater: -903/479 or -1? -1 Is 31120 < 0? False Which is smaller: -51/146 or -44? -44 Is 1/152142 less than 0? False Which is bigger: 4315003 or 4315002? 4315003 Which is smaller: -313159 or -313161? -313161 Is 106/65 less than or equal to -61? False Which is smaller: 243/628 or 12? 243/628 Is -5127 <= -5093? True Which is smaller: 2775 or 2482? 2482 Is -1316 greater than -18? False Is -13 > 0.023551? False Which is smaller: -6944/5 or -1390? -1390 Which is smaller: -1416/319 or -4? -1416/319 Which is greater: -2962/1203 or -2? -2 Which is bigger: -0.838 or -12.1? -0.838 Which is bigger: -3/8 or 4651? 4651 Is 209 bigger than -60? True Which is smaller: -325/9378 or 1? -325/9378 Are -130 and 200 nonequal? True Is -18/79 bigger than 2.23? False Which is smaller: 27904/33 or 847? 27904/33 Is 4/383675 at most as big as 1? True Are -1755028 and -1755027 nonequal? True Which is greater: 9 or -23455? 9 Which is bigger: -49514 or -49519? -49514 Do -2378 and -30933/13 have the same value? False Which is bigger: -255 or -3049/12? -3049/12 Which is smaller: -0.413 or -107? -107 Which is bigger: 12239 or 12147? 12239 Which is smaller: 1547 or 1546? 1546 Which is smaller: -8635721 or 0? -8635721 Which is smaller: 200/33 or -7? -7 Which is smaller: -23.9 or -3071? -3071 Which is smaller: -30.9562 or -15? -30.9562 Which is smaller: -9/305156 or 0? -9/305156 Is 81429 less than 325711/4? False Which is greater: 1 or -16/481? 1 Which is smaller: -9/6103 or 0? -9/6103 Which is bigger: 5 or -380001? 5 Do 0 and 47/450 have the same value? False Which is bigger: -3 or -489188? -3 Is 37 < -2.53? False Is 1.6 less than or equal to 23894? True Are 0.09843 and 2/9 non-equal? True Is 13508 greater than or equal to 13504? True Which is bigger: -3 or -400643? -3 Which is smaller: 1981 or -95? -95 Which is bigger: 51 or 47? 51 Which is smaller: -1462944 or -1462947? -1462947 Which is smaller: 2/39 or -64959? -64959 Which is greater: 6/45493 or -1? 6/45493 Is 2 > 2352? False Which is smaller: -12/7643 or 0? -12/7643 Does -2/854589 = -1? False Does -32 = -8/23313? False Does -3758/549 = -7? False Is -350982 < -350982? False Which is greater: -80 or -76? -76 Which is greater: -1367 or 187? 187 Is 96310/3 greater than 32102? True Which is greater: 10/9 or 450? 450 Is -57909 equal to -57911? False Which is smaller: -1631/53 or -30? -1631/53 Which is greater: 51812 or 155435/3? 51812 Is 3309 bigger than 135? True Which is smaller: 1/3 or -0.95772? -0.95772 Which is bigger: -967/7 or -1/6? -1/6 Is 0 at least 47144? False Which is greater: -8720/41 or -213? -8720/41 Which is smaller: -3 or -585772? -585772 Which is smaller: -73261 or -73259? -73261 Is -22869 at most as big as -22871? False Is -14 <= 1452? True Which is smaller: -3618 or -3620? -3620 Which is greater: -19/100657 or -1? -19/100657 Which is smaller: 14611/11 or 1328? 1328 Is 3849 smaller than 80812/21? False Which is smaller: 3/14 or 387/16? 3/14 Do -0.3606 and 758 have different values? True Is 7/990380 < -1? False Which is greater: 33803 or 1047922/31? 1047922/31 Is 554498 at least 554501? False Is 134472/11 >= 12226? False Do 2/221 and -146 have the same value? False Which is greater: -2/5 or -3/18437? -3/18437 Which is greater: 9800 or 9830? 9830 Is -29418/239 less than or equal to -122? True Which is smaller: 21883 or 21882? 21882 Is 71148 at most 71140? False Which is smaller: 144103/3 or 48034? 48034 Is -535452 > -535452? False Which is bigger: -9239 or -1/3? -1/3 Are 0 and -159/1846 equal? False Is -1125 at most -352? True Which is greater: 3099 or 3057? 3099 Which is greater: -3249/7 or -465? -3249/7 Is 27 < 829/32? False Which is greater: -444570 or -444567? -444567 Which is bigger: 482 or 0.01? 482 Is -1 >= -33/40643? False Which is greater: -2497 or -2498? -2497 Which is greater: 5651/6 or 941? 5651/6 Which is smaller: -8/59 or 35? -8/59 Which is bigger: 1/4 or -13167? 1/4 Which is smaller: 157 or 140/19? 140/19 Is 1885 greater than or equal to 1282? True Is 3/20936 at most 0? False Do -26.5 and -20 have different values? True Is 574 < 71? False Which is bigger: 2913 or -34? 2913 Which is greater: 1/1707807 or -1? 1/1707807 Is -2 at least as big as -1542? True Which is bigger: 94 or 8532/91? 94 Is -2/767043 equal to -2/7? False Which is greater: -7167 or -6985? -6985 Which is smaller: 1324 or 1302? 1302 Is 124.09 > -0.101? True Is 577296 <= 577293? False Are -78741 and -157479/2 non-equal? True Which is greater: 0 or 265/1369? 265/1369 Which is smaller: 1 or -281/631? -281/631 Are 66/34343 and 0 non-equal? True Which is smaller: -4848 or -160019/33? -160019/33 Is -10042 >= -10047? True Which is smaller: 13.37 or -1.5? -1.5 Which is smaller: -22/3605 or 1? -22/3605 Does 0 = -1115/819? False Which is smaller: 613197/14 or 43800? 613197/14 Which is smaller: -2/69 or 731? -2/69 Is 227696 bigger than 227696? False Do 10012194 and 10012194 have the same value? True Are -841982 and -841984 equal? False Which is smaller: -1 or -2/356755? -1 Is -2 at least -1551? True Is -0.1908212 greater than 2? False Which is greater: -209 or 298? 298 Are -1108957/5 and -221790 equal? False Which is bigger: -1556 or -595? -595 Is -110.49 smaller than -2/9? True Is 1125 > -10? True Which is smaller: -1/2 or -69140? -69140 Which is smaller: 1 or -3/613202? -3/613202 Is 885/914 less than 2? True Is -5/48 != -82? True Are -26386 and -26391 non-equal? True Which is greater: -154559 or -154558? -154558 Are 3817 and 15263/4 nonequal? True Which is smaller: 667/55 or -20? -20 Are 2/153 and -209 equal? False Which is greater: -13 or 1038.2? 1038.2 Which is greater: -2748192 or -13740962/5? -2748192 Are 0.5 and 113.31 unequal? True Which is smaller: 0.01 or 547? 0.01 Which is smaller: -1.4 or 10465/8? -1.4 Is 2743197 at least 1/3? True Is 1066 greater than 1/241? True Which is bigger: -9601 or -9602? -9601 Which is smaller: -3165/197 or -17? -17 Is -181544 greater than -0.1? False Which is greater: -273/1336 or 1? 1 Is 24 >= 68? False Which is bigger: -1091 or -33775/31? -33775/31 Are -184 and -76 unequal? True Is -548 != -605? True Are 0.1 and -2798964 non-equal? True Is 30640 at most as big as 30577? False Which is smaller: 60 or 823.9? 60 Which is smaller: -1938/4141 or 0? -1938/4141 Which is smaller: 18124 or 18119? 18119 Is -35456/7 smaller than -5065? True Is 2827/58 equal to 50? False Which is greater: 742424 or 742423? 742424 Is -2/3 greater than 31487.1? False Are -116764 and -116764 nonequal? False Is 1827 <= 1584? False Is 114 at most -158? False Is 18350 < 18337? False Which is smaller: 1 or 5/12076? 5/12076 Is -7/161494 bigger than -1? True Which is smaller: 161896 or -5/3? -5/3 Is 1777 less than or equal to 1798? True Is -40472 at least -40472? True Does 1 = 13/8298? False Are -0.2 and 22256.6 equal? False Are 2/7 and -26770 equal? False Which is smaller: 1280 or 685? 685 Which is smaller: -3/646777 or 1? -3/646777 Which is greater: 26383 or 26392? 26392 Which is smaller: -1 or -38/1869? -1 Is -15/916 < -1? False Which is bigger: -54/14795 or -1? -54/14795 Is -591545 > -591544? False Which is sma
{ "pile_set_name": "DM Mathematics" }
mine m(82). 1927 Let b(m) = 1645*m**2 - 36215*m + 43. Give b(22). -507 Let w(u) = 167*u + 17624. Determine w(-108). -412 Let q(t) = 1589*t - 4511. Calculate q(3). 256 Let c(o) = -8*o**3 - 126*o**2 + 104*o + 17. Determine c(1). -13 Let y(n) = n**2 - 210*n - 1667. Calculate y(-8). 77 Let y(s) = -6*s**2 - 494*s - 3187. Give y(-75). 113 Let d(c) = -545*c**2 - 91557*c + 524. What is d(-168)? 20 Let m(i) = -2*i**3 + 77*i**2 + 6*i + 52. Give m(39). -1235 Let b(x) = -105*x**3 - 1995*x**2 + 93*x + 1839. Give b(-19). 72 Let v(m) = -72404*m + 22010808. Give v(304). -8 Let t(p) = 2*p**3 + 28*p**2 - 4*p + 118. Give t(-15). -272 Let y(l) = -15*l**3 - 826*l**2 - 60*l - 238. Give y(-55). 37 Let f(n) = -6765*n + 649450. Determine f(96). 10 Let x(p) = -8*p**3 + 545*p**2 - 63*p - 104. What is x(68)? 236 Let y(k) = -7*k**2 - 1410*k + 10187. What is y(7)? -26 Let f(x) = -535*x - 16116. Calculate f(-30). -66 Let m(r) = 27*r**3 - 8*r**2 + 8425*r - 8418. Give m(1). 26 Let y(f) = 26*f**2 - 1502*f + 1090. Calculate y(57). -50 Let d(u) = -5*u**3 - 27*u**2 + 23*u + 22. What is d(-6)? -8 Let z(a) = 10946*a - 39893. What is z(4)? 3891 Let i(o) = -6573*o - 361519. What is i(-55)? -4 Let b(h) = 2*h**3 - 9*h**2 - 3500*h - 13723. Calculate b(-4). 5 Let w(a) = -165*a + 873. What is w(-4)? 1533 Let v(i) = 6*i**2 - 692*i - 10685. Give v(129). -107 Let k(d) = -45*d**2 - 396*d - 754. Calculate k(-6). 2 Let j(s) = -35094*s + 806937. What is j(23)? -225 Let n(h) = h**2 + 1878*h - 104227. What is n(54)? 101 Let j(v) = -v**2 - 29*v + 14347. Determine j(107). -205 Let h(u) = -u**2 - 319*u - 13944. Determine h(-48). -936 Let u(r) = 638*r + 14050. Give u(-22). 14 Let h(z) = -2644*z + 200996. What is h(76)? 52 Let d(t) = t**2 - 5550*t - 2972649. Calculate d(-492). 15 Let y(d) = -2*d**3 - 131*d**2 + 212*d + 9693. What is y(-66)? 57 Let l(n) = 1561*n - 841802. Give l(539). -423 Let b(y) = 5*y**2 - 355*y - 1529. Determine b(75). -29 Let v(h) = -h**2 - 85017*h - 1699942. Give v(-20). -2 Let v(z) = 5579*z + 44684. Give v(-8). 52 Let x(t) = 19079*t + 18898. Determine x(-1). -181 Let r(m) = 106*m**2 + 1569*m + 88. Calculate r(-15). 403 Let h(c) = -8593*c + 51505. Give h(6). -53 Let q(x) = -861*x + 9503. Determine q(11). 32 Let m(i) = -1393*i + 29354. Calculate m(16). 7066 Let h(x) = 229699*x + 2526664. What is h(-11)? -25 Let o(k) = 16*k**2 - 490*k + 2986. Calculate o(6). 622 Let c(t) = -7038*t - 21045. Give c(-3). 69 Let x(s) = 38384*s - 114714. What is x(3)? 438 Let f(l) = -5*l**3 + 20*l**2 + 258*l - 1320. Give f(5). -155 Let c(i) = -452*i - 7704. Calculate c(-16). -472 Let n(k) = -k**2 + 354*k - 6371. Calculate n(19). -6 Let x(o) = 46096*o + 414834. Determine x(-9). -30 Let w(s) = 3*s**3 + 13*s**2 + 479*s + 944. Calculate w(-2). 14 Let t(c) = -279836*c - 20428024. What is t(-73)? 4 Let b(l) = 96*l + 15629. Give b(-151). 1133 Let i(h) = -3*h**3 - 756*h**2 - 1535*h - 8703. Calculate i(-250). 47 Let w(f) = -44*f**3 + 702*f**2 + 23*f - 26. Give w(16). -170 Let t(j) = -j**2 + 1002*j - 79565. What is t(87)? 40 Let y(b) = -b**2 + 110*b - 612. What is y(6)? 12 Let w(k) = -k**2 - 572*k - 64355. What is w(-154)? 17 Let p(k) = -1185*k + 10982. What is p(12)? -3238 Let s(t) = 14093*t + 2339445. Give s(-166). 7 Let g(s) = -4*s**3 + 67*s**2 - 132*s - 62. Give g(13). 757 Let v(r) = 22*r**3 - 64*r**2 + 43*r - 128. Determine v(3). 19 Let g(u) = 48*u - 5081. What is g(73)? -1577 Let w(l) = -396*l**2 - 2927*l + 68866. What is w(10)? -4 Let l(a) = 77*a**2 + 61*a - 63. Give l(1). 75 Let a(x) = x**3 - 58*x**2 - 13*x + 726. What is a(58)? -28 Let d(c) = -24*c**2 + 607*c - 10. Give d(27). -1117 Let k(j) = 381*j**2 + 49904*j - 964. Calculate k(-131). -47 Let d(b) = -9175*b + 816576. What is d(89)? 1 Let m(v) = v**2 - 895*v - 6148. Determine m(-7). 166 Let w(f) = 12*f**2 + 2008*f - 4024. What is w(2)? 40 Let h(t) = t**3 + 46*t**2 + 87*t + 238. Determine h(-43). 2044 Let d(i) = 2478*i + 4724. Give d(-2). -232 Let o(w) = 102*w**2 + 3751*w + 89. Calculate o(-36). -2755 Let n(h) = 308*h**2 - 817*h. Determine n(5). 3615 Let p(a) = a**2 - 1345*a + 185476. Determine p(156). -8 Let o(f) = -f**3 - 43*f**2 + 149*f - 43. Determine o(3). -10 Let z(u) = 2*u**2 - 196*u + 4766. What is z(43)? 36 Let t(x) = x**3 - 34*x**2 - 306254*x + 10412648. What is t(34)? 12 Let j(k) = 2*k**2 - 143*k - 1182. Calculate j(-8). 90 Let f(o) = -21*o**3 + 5*o**2 - 1275*o - 1284. Calculate f(-1). 17 Let r(m) = 53*m**2 - 122*m - 882. Give r(-7). 2569 Let o(p) = -100992*p - 807909. Calculate o(-8). 27 Let o(c) = -c**2 + 1924308*c - 28864395. Determine o(15). 0 Let u(l) = 287*l - 5161. Calculate u(18). 5 Let q(b) = 2718*b - 24764. Calculate q(9). -302 Let y(p) = 90736*p + 2359226. Determine y(-26). 90 Let k(g) = g**2 - 668*g - 1142853. Calculate k(-786). -9 Let a(f) = 3437*f + 57620. Calculate a(-17). -809 Let x(r) = 840446*r + 8404467. Give x(-10). 7 Let n(s) = -s**3 - 2*s**2 + 3401*s - 26559. Calculate n(8). 9 Let l(d) = 3672*d - 21994. Calculate l(6). 38 Let t(k) = -k**3 - 364*k**2 + 536*k + 62418. Calculate t(-365). 3 Let y(q) = -7*q**3 - 315*q**2 - 2*q - 179. Give y(-45). -89 Let p(g) = -8*g**3 - 4*g**2 + 52333*g + 52333. What is p(-1)? 4 Let p(g) = 2*g**3 - 532*g**2 + 5757*g - 11. Calculate p(11). 1606 Let i(r) = 7*r**3 + 52*r**2 + 32*r + 117. What is i(-7)? 40 Let y(n) = 31*n**2 + 41*n + 147. Give y(-4). 479 Let y(k) = 39*k - 3764. What is y(97)? 19 Let g(l) = 2*l**2 + 58874*l + 176584. Calculate g(-3). -20 Let u(n) = -3*n**3 - 985*n**2 - 324*n + 1622. What is u(-328)? 310 Let r(s) = -4*s**3 - 1819*s**2 - 3026*s + 65684. Determine r(-453). -1 Let q(c) = 29*c**2 - 76*c - 225. Calculate q(-3). 264 Let p(n) = 4*n**2 - 373*n + 3752. Calculate p(11). 133 Let i(z) = 55*z**3 + 2*z + 1. What is i(1)? 58 Let u(r) = -r**2 + 3101*r + 62451. Give u(-20). 31 Let l(n) = -n**3 + 49*n**2 + 806*n - 355. Give l(62). -355 Let a(d) = 170*d**2 - 702*d + 80. What is a(4)? -8 Let f(n) = 188*n - 17602. What is f(95)? 258 Let o(w) = w**3 + 174*w**2 - 855*w + 7176. Give o(-179). 16 Let v(t) = -2*t**2 - 3919*t - 1773736. Calculate v(-1250). 14 Let m(i) = 7451*i + 834537. Give m(-112). 25 Let z(w) = -242*w - 22998. Give z(-95). -8 Let v(p) = 360*p**2 + 13. What is v(2)? 1453 Let d(n) = 3007*n + 168543. Give d(-56). 151 Let t(w) = -32*w**2 - 793*w - 3541. Give t(-6). 65 Let b(l) = 1067*l**2 - 6335*l - 245. Determine b(6). 157 Let z(w) = -w**3 - 173*w**2 + 2019*w + 10790. Give z(-4). 10 Let h(k) = k**3 - 25*k**2 + 123*k + 203. Determine h(8). 99 Let f(a) = a**2 + 185*a + 7718. Calculate f(-78). -628 Let n(l) = -652*l + 5862. Determine n(9). -6 Let w(v) = -55*v - 335. What is w(16)? -1215 Let z(s) = -600*s - 62453. Give z(-107). 1747 Let v(y) = 15432*y - 108020. Give v(7). 4 Let f(a) = -2*a**2 - 9423*a - 215665. Calculate f(-23). 6 Let a(b) = -2*b**2 - 873*b - 34880. What is a(-392)? 8 Let k(g) = -3298*g + 49487. Give k(15). 17 Let r(x) = -7*x**2 + 93*x + 48327. Give r(90). -3 Let t(s) = 3*s**2 - 5607*s - 33693. Give t(-6). 57 Let i(w) = 91364*w + 30058769. What is i(-329)? 13 Let h(w) = -9*w**3 + 1236*w**2 - 4008*w - 1601. Determine h(134). 7 Let d(g) = 3*g**3 - g**2 - 295*g - 83. Give d(-15). -6008 Let c(f) = 124589*f - 996706. Give c(8). 6 Let a(b) = -b**3 + 45*b**2 - 60*b - 365. Give a(43). 753 Let k(o) = 22020*o - 264251. Give k(12). -11 Let g(h) = -2*h**2 + 7482*h + 8509344. Calculate g(-914). 4 Let x(l) = -l**3 + 12*l**2 - 117*l - 474. What is x(-4)? 250 Let y(b) = 20*b**2 - 2456*b - 57153. What is y(-20)? -33 Let z(h) = 5281*h - 269395. Determine z(51). -64 Let b(w) = 2*w**3 - 31*w**2 - 302*w - 968. Give b(23). 21 Let m(w) = 4*w**3 - 265*w**2 - 165*w - 2248. Determine m(67). 164 Let j(v) = 5*v**3 - 435*v**2 + 431*v + 109. Calculate j(86). 195 Let c(b) = -2*b**2 - 12932*b + 1553821. Calculate c(118). -3 Let c(q) = -2143*q - 28085. Determine c(-13). -226 Let c(j) = 11*j**2 - 1646*j + 4219. Calculate c(147). -44 Let o(s) = 37*s**2 - 718*s - 90. Determine o(23). 2969 Let o(d) = -128*d**2 + 39035*d + 1585. Calculate o(305). 60 Let v(j) = -9884*j - 2846600. Determine v(-288). -8 Let d(s) = s**2 + 203*s + 3714. Give d(-17). 552 Let o(z) = z**3 - 12*z**2 - 47*z + 14. What is o(15)? -16 Let m(h) = -h**2 + 811*h + 7415. What is m(-9)? 35 Let y(w) = w**3 + 7*w**2 - 207*w + 38. G
{ "pile_set_name": "DM Mathematics" }
e y(5). -72 Let f(t) = 3*t**2 - 3*t + 1. What is f(2)? 7 Let s(n) = -9*n - 1. Give s(-2). 17 Let q(d) = d**2 + 45*d + 158. Calculate q(-41). -6 Let r(f) = -5*f + 17. Calculate r(4). -3 Let d(v) = v**2 + 15*v + 46. Give d(-11). 2 Let l(d) = 136*d**2 + 4*d + 1. Give l(-1). 133 Let g(h) = h**3 - 4*h**2 - 15*h - 43. Calculate g(7). -1 Let v(r) = -r**2 - 11*r - 6. Determine v(-10). 4 Let q(l) = l**2 + l - 2. Determine q(6). 40 Let k(z) = z**2 - z - 3. Give k(0). -3 Let s(k) = 4*k - 4. Calculate s(-3). -16 Let f(s) = -2*s + 14. Determine f(10). -6 Let j(i) = -i - 38. What is j(-43)? 5 Let l(c) = c**2 + 14*c - 59. What is l(-18)? 13 Let q(d) = d**3 + 5*d**2 + 17*d + 87. Determine q(-5). 2 Let c(t) = -6*t + 121. What is c(29)? -53 Let o(h) = h**3 + 2*h**2 - 15*h - 29. Determine o(-4). -1 Let h(k) = 6*k - 1. Give h(-5). -31 Let k(v) = -v**2 - 13*v + 19. Calculate k(-14). 5 Let w(h) = -2*h - 9. Determine w(-12). 15 Let l(y) = -y**2 + 4*y + 4. Determine l(4). 4 Let q(f) = f**3 + 4*f**2 + f - 3. Determine q(-4). -7 Let i(g) = -5*g**2 + 19*g - 8. Give i(2). 10 Let l(p) = 35*p - 2. What is l(4)? 138 Let b(a) = -9*a + 109. Calculate b(12). 1 Let j(w) = -w**3 + 11*w**2 + 9*w + 31. Give j(12). -5 Let u(g) = -g**3 + 2*g**2 + 3*g - 1. What is u(-1)? -1 Let b(v) = v**3 + 17*v**2 + 13*v - 34. What is b(-16)? 14 Let z(m) = 2*m**2 + 19*m - 3. What is z(-9)? -12 Let j(v) = -v + 3. What is j(-4)? 7 Let a(z) = -3*z**2 - 39*z + 21. Calculate a(-14). -21 Let t(d) = d**2 + 10*d + 4. Calculate t(-9). -5 Let y(i) = -i**3 + 8*i**2 - 6*i + 4. What is y(7)? 11 Let w(a) = -a + 2. Give w(11). -9 Let s(a) = a - 2. Calculate s(8). 6 Let y(m) = -m**3 + 4*m**2 + 15*m - 9. Give y(6). 9 Let c(w) = w**3 - 12*w**2 + w - 7. What is c(12)? 5 Let h(d) = -d**3 + d**2 - d - 22. Determine h(0). -22 Let n(p) = 3*p**2 + 22*p + 3. Give n(-8). 19 Let r(v) = -5*v - 30. Give r(-8). 10 Let o(w) = w**2 + 3*w - 20. Calculate o(-7). 8 Let i(h) = -2*h + 14. Determine i(-18). 50 Let u(z) = z**3 + 11*z**2 + 11*z - 4. Calculate u(-9). 59 Let f(y) = -y**2 - y - 241. Give f(0). -241 Let a(h) = -7*h + 1. Calculate a(-2). 15 Let x(n) = 4*n + 44. Determine x(-10). 4 Let s(h) = -2*h - 4. Determine s(1). -6 Let h(g) = -8*g + 59. What is h(10)? -21 Let o(i) = -14*i + 17. What is o(1)? 3 Let d(n) = -n**3 + 8*n**2 - 7*n + 10. Give d(7). 10 Let p(u) = u**3 + 8*u**2 - 2*u + 14. Determine p(-9). -49 Let w(j) = j**2 + 19*j + 2. Calculate w(-8). -86 Let d(g) = g**3 - g**2 - 11*g + 21. Determine d(3). 6 Let d(h) = -4*h - 7. Give d(-7). 21 Let b(d) = -11*d + 21. Give b(6). -45 Let u(g) = g**2 + 10*g - 10. Determine u(-9). -19 Let l(v) = 7*v + 160. Give l(-11). 83 Let j(k) = -k**2 - 9*k + 15. Give j(6). -75 Let l(d) = -9*d - 2. What is l(-3)? 25 Let h(c) = c**2 - 3*c - 28. Determine h(0). -28 Let d(h) = -h**2 + 10*h - 19. Determine d(4). 5 Let p(d) = 2*d**2 - 14*d + 15. Calculate p(4). -9 Let a(c) = c**3 + 2*c**2 - 6. What is a(0)? -6 Let o(a) = 13*a - 3. Calculate o(3). 36 Let f(l) = -55*l + 110. What is f(2)? 0 Let v(g) = 2*g**3 - 9*g**2 - 16*g + 1. What is v(5)? -54 Let b(v) = 5*v - 38. Calculate b(6). -8 Let g(j) = -37*j - 993. Calculate g(-27). 6 Let m(p) = 4*p + 7. What is m(3)? 19 Let m(y) = -12*y + 6. Give m(-1). 18 Let m(o) = -13*o + 48. Give m(4). -4 Let v(b) = b**3 + 9*b**2 + 3*b + 25. Give v(-9). -2 Let s(p) = -p**3 - 2*p**2 + 4*p. Determine s(-4). 16 Let b(f) = f**3 + 5*f**2 - 3*f. What is b(-5)? 15 Let h(f) = 5*f - 4. Give h(-3). -19 Let r(t) = 2*t**2 + 102*t + 5. Calculate r(-51). 5 Let v(i) = -139*i**3 + i**2 + i - 1. Determine v(1). -138 Let u(p) = p**2 - 16*p - 29. What is u(17)? -12 Let j(c) = 3*c**3 + 19*c**2 + 4*c - 5. Give j(-6). 7 Let m(j) = j**2 + 4*j - 13. Calculate m(-7). 8 Let u(x) = x**2 - x - 10. Determine u(0). -10 Let o(h) = -h - 37. What is o(-8)? -29 Let c(u) = 2*u**3 - 23*u**2 + 10*u + 5. What is c(11)? -6 Let j(p) = -2*p**3 - 31*p**2 - 16*p + 22. Calculate j(-15). 37 Let i(o) = -18*o - 29. Determine i(-2). 7 Let m(k) = -k**3 + 9*k**2 - 3*k + 14. Determine m(9). -13 Let v(q) = -6*q**3 - q**2 + 5*q + 9. Determine v(-3). 147 Let s(i) = -3*i**2 + 2. What is s(-2)? -10 Let k(f) = 3*f + 10. Calculate k(7). 31 Let r(o) = 5*o**2 - 15*o - 1. What is r(2)? -11 Let w(q) = q**2 + 6*q - 14. What is w(-8)? 2 Let d(a) = a**2 - 17*a + 58. Give d(11). -8 Let i(w) = -w**2 + 16*w - 6. What is i(14)? 22 Let u(m) = -4*m - 59. Give u(-11). -15 Let y(w) = 121*w + 730. What is y(-6)? 4 Let c(g) = -g**2 + 20*g + 20. What is c(21)? -1 Let i(y) = -2*y + 17. Calculate i(6). 5 Let j(l) = -l**3 - 11*l**2 - 12*l - 27. What is j(-10)? -7 Let v(c) = -c**3 - 5*c**2 - 2*c - 5. What is v(-5)? 5 Let v(t) = -t**3 + 17*t**2 - 32*t + 35. Calculate v(15). 5 Let p(u) = -u**3 - 17*u**2 - 19*u - 46. Calculate p(-16). 2 Let w(q) = q**2 + 6*q - 7. Give w(-8). 9 Let f(s) = -6*s - 20. Calculate f(-5). 10 Let j(k) = 3*k**2 - 31*k - 4. Calculate j(11). 18 Let y(b) = b**2 - b - 11. What is y(0)? -11 Let j(z) = z**3 + 7*z**2 + 9*z + 14. What is j(-6)? -4 Let n(h) = 84*h - 331. Determine n(4). 5 Let k(z) = 37*z**2 - 4*z + 3. Determine k(1). 36 Let r(a) = a**3 + 7*a**2 - 6*a - 7. What is r(-8)? -23 Let s(x) = 3*x + 34. Give s(-11). 1 Let d(p) = -p**3 + 5*p**2 + 42. Calculate d(6). 6 Let t(l) = -l**3 + 5*l**2 + 8*l - 10. Give t(7). -52 Let u(b) = b**2 - 8*b - 4. Give u(7). -11 Let i(f) = 2*f**2 - 6*f. Calculate i(4). 8 Let b(a) = -2*a - 38. What is b(0)? -38 Let o(k) = k**3 + 2*k**2 - 6*k - 7. What is o(-4)? -15 Let k(s) = 11*s + 175. Determine k(-14). 21 Let b(x) = 9*x**2 + 3*x + 4. What is b(-2)? 34 Let y(r) = 2*r + 6. Give y(2). 10 Let g(f) = -f**3 + 2*f - 2. Calculate g(1). -1 Let g(t) = 8*t + 12. What is g(-6)? -36 Let i(r) = 83*r + 1. Calculate i(1). 84 Let o(p) = -p**2 - p + 22. Give o(0). 22 Let p(f) = f**3 - 53*f**2 + 103*f - 46. What is p(51)? 5 Let d(l) = -l**2 - 26*l + 79. Calculate d(-27). 52 Let h(m) = m**2 + 14*m - 11. What is h(-12)? -35 Let y(d) = d + 3. Give y(-9). -6 Let q(h) = -19*h + 79. What is q(6)? -35 Let g(o) = o**3 + 12*o**2 - 15*o - 20. Give g(-13). 6 Let j(w) = -w**3 + 18*w**2 - 63*w - 16. Calculate j(13). 10 Let n(l) = 3*l**3 + l**2 + 1. Calculate n(-2). -19 Let f(h) = -h**3 + 28*h**2 - 29*h + 59. What is f(27)? 5 Let l(r) = -2*r**3 + 4*r**2 - r - 2. What is l(2)? -4 Let f(t) = -5*t + 23. Determine f(-11). 78 Let z(c) = 8*c**2. Give z(-1). 8 Let d(g) = g**3 + 11*g**2 - 12*g - 7. Calculate d(-12). -7 Let d(a) = 58*a - 8. Calculate d(0). -8 Let h(r) = r**2 + r - 7. Give h(-5). 13 Let i(s) = 14*s + 51. Determine i(-3). 9 Let u(d) = 10*d - 26. Calculate u(3). 4 Let v(z) = -3*z - 68. What is v(-21)? -5 Let o(k) = -k**3 + 3*k**2 + 8*k + 7. Give o(5). -3 Let d(a) = -2*a + 1. Determine d(0). 1 Let c(a) = -2*a**2 - 14*a - 4. Calculate c(-7). -4 Let u(h) = 2*h + 13. Determine u(-6). 1 Let i(c) = c**3 + 16*c**2 + 16*c + 17. Determine i(-15). 2 Let l(m) = -m**3 - 3*m - 15. Determine l(5). -155 Let b(k) = k**3 + 70*k**2 + 3*k + 213. Give b(-70). 3 Let f(d) = -d**2 + 5*d + 26. Give f(7). 12 Let x(i) = i**2 - 12*i - 30. Give x(14). -2 Let f(y) = -2*y - 24. What is f(-13)? 2 Let u(x) = 6*x**2 - 45*x - 26. Determine u(8). -2 Let t(k) = k**3 - k**2 - 3*k - 2. Give t(3). 7 Let m(y) = y**2 - 11*y + 10. Give m(8). -14 Let q(k) = -3*k + 4. Calculate q(-3). 13 Let k(d) = 3*d + 22. Give k(-10). -8 Let r(a) = -a + 19. What is r(-15)? 34 Let v(h) = -2*h + 3. Determine v(5). -7 Let u(g) = 88*g + 1230. Give u(-14). -2 Let a(v) = -v + 9. Calculate a(8). 1 Let z(p) = -8*p + 34. What is z(4)? 2 Let m(b) = -b**3 - 11*b**2 - 11*b + 8. Give m(-9). -55 Let h(n) = -n**2 + 9*n - 16. Calculate h(4). 4 Let j(l) = -5*l**2 - 2*l + 6. Calculate j(-3). -33 Let q(c) = -c**3 + 9*c**2 + 11*c - 10. Determine q(10). 0 Let i(z) = -9*z - 101. Give i(-10). -11 Let c(r) = -7*r**3 + 2*r**2 - 1. What is c(1)? -6 Let o(z) = -z - 10. Give o(3). -13 Let g(x) = -8*x + 7. What is g(-8)? 71 Let u(k) = 2*k**2 - 4*k - 5. Determine u(4). 11 Let c(h) = h**3 + 4*h**2 - 3*h - 5. What is c(-5)? -15 Let n(l) = 2*l + 7. Determine n(6). 19 Let x(g) = -35*g - 81. Calculate x(-2). -11 Let p(n) = n - 7. Calculate p(0). -7 Let b(j) = 11*j - 19. Calculate b(2). 3 Let o(k) = -15*k - 831. What is o(-55)? -6 Let h(q) = 20*q + 82. Determine h(-4). 2 Let x(m) = 2*m**2 + 12*m - 4. What is
{ "pile_set_name": "DM Mathematics" }
4 + 472 wrt r? 516*r**3 Let o(a) = 2*a**2 - a - 1. Let m be o(-1). Find the third derivative of 54*k**2 - 2*k**4 - 72*k**m - 2*k**4 wrt k. -96*k Differentiate 2*m**3 - 189 + 1348*m**2 - 1348*m**2 + 139*m with respect to m. 6*m**2 + 139 Let c(y) be the second derivative of -358*y**7/21 - 395*y**4/6 + 56*y + 1. Find the third derivative of c(d) wrt d. -42960*d**2 Let f(g) be the second derivative of -g**8/672 + g**6/720 - g**4/6 - 3*g. Let n(b) be the third derivative of f(b). What is the second derivative of n(q) wrt q? -60*q Let u(g) = 2*g**2 - 45*g + 25. Let t be u(22). What is the second derivative of 16*n**t + 8*n + 8*n - 17*n wrt n? 96*n Let v be 34/9 + (-2)/(-9). Suppose 0 = -v*m + 5*m - 2. What is the third derivative of -2*d**m - 2*d**2 + 6*d**2 - 6*d**3 + d**3 wrt d? -30 Let z(n) be the second derivative of 3*n**6/10 - 25*n**4/12 + 43*n**3/3 - 79*n + 3. What is the second derivative of z(r) wrt r? 108*r**2 - 50 Let t(w) be the first derivative of -w**7/105 + w**4/12 - 2*w**3 - 3. Let v(s) be the third derivative of t(s). Differentiate v(a) wrt a. -24*a**2 Let r(a) = 11*a. Let o be r(1). Differentiate 6*k**3 - 8*k**3 + 2 - o with respect to k. -6*k**2 Let b(v) = -3*v + 4. Let m be b(-3). Suppose -16 = 13*q - 21*q. Find the third derivative of 3*a**3 - 7*a**3 + m*a**2 - 7*a**q wrt a. -24 Suppose 4*h - 5 = 11. Let r = h + 0. Find the second derivative of -3*n**r - 61*n**2 - n + 29*n**2 + 32*n**2 wrt n. -36*n**2 Let t = 13 + -5. Let k be 4/t + (-6)/(-4). What is the third derivative of -r**3 + 2*r**k - 6*r + 6*r wrt r? -6 Let t(p) be the second derivative of -121*p**7/21 - p**3/2 - 7*p**2 - 253*p. What is the second derivative of t(q) wrt q? -4840*q**3 Let a(o) = -43*o**4 - o**3 - 106*o**2 + 3. Let w(v) = -129*v**4 - 3*v**3 - 317*v**2 + 8. Let k(q) = 8*a(q) - 3*w(q). Find the third derivative of k(i) wrt i. 1032*i + 6 Let c(d) = -2*d**2 + d - 5. Let k be c(4). Let b = -28 - k. Find the second derivative of -2*h - 5*h + 25*h**b + 0*h - 12*h**5 wrt h. 260*h**3 What is the second derivative of -29 - 93*k**4 + 93*k**4 - k - 3*k**5 - 4*k**2 wrt k? -60*k**3 - 8 Suppose 5*f = -3*w + 12, -3*w + 2*w - 2*f + 4 = 0. What is the derivative of 2*h**3 + 7 + 9*h**w - 2*h**3 - 28*h**4 wrt h? -76*h**3 Let b(l) = 7*l**2 + 58*l + 136. Let u(h) = 13*h**2 + 107*h + 271. Let m(c) = -7*b(c) + 4*u(c). Differentiate m(t) wrt t. 6*t + 22 Let c(j) be the first derivative of -41*j**2/2 + 94*j - 107. Find the first derivative of c(w) wrt w. -41 Let f(a) = 2*a**3 + 9*a**2 + a - 9. Let o be f(-4). What is the second derivative of -7*z - o*z + 2*z + 45*z**4 wrt z? 540*z**2 Suppose 4*d + 5*n - 27 = 0, 6*n + 9 = d + 8*n. Find the first derivative of 53*v**2 - 53*v**2 - 30 - 27*v**d wrt v. -81*v**2 Let g(r) be the third derivative of 19*r**8/84 + 67*r**4/24 + 59*r**2. Find the second derivative of g(b) wrt b. 1520*b**3 Let l(r) be the first derivative of 20*r**3/3 - 221*r**2/2 + 75. What is the second derivative of l(o) wrt o? 40 Let j be (8 + 0)*1/2. Find the first derivative of -5 + 0*y**j - 6 + 8 + y**4 wrt y. 4*y**3 Let h be 20/35*21/3. Differentiate 2*f**4 - 6 - 2*f**h + f**4 + f**4 wrt f. 8*f**3 Let y(p) = p**2 - p + 4. Let o be y(-3). What is the first derivative of -2*z**3 - o + 4*z**3 + 4*z**3 + 6*z**3 wrt z? 36*z**2 Let i(y) be the second derivative of -y**7/21 - y**5/6 - 8*y**2 + 5*y. Let w(v) be the first derivative of i(v). What is the third derivative of w(u) wrt u? -240*u What is the derivative of -12 + 370*m**4 - 86 - 83*m**4 wrt m? 1148*m**3 Let z(h) be the first derivative of -5*h**5 - 4*h**4 + 4*h**4 + 10*h**2 + 22 + 3*h**2. Find the second derivative of z(l) wrt l. -300*l**2 Let f(x) be the first derivative of 16 + 0*x + 0*x**3 - 5*x**2 + 17/5*x**5 + 0*x**4. Find the second derivative of f(r) wrt r. 204*r**2 Let z(c) = -c**3 - 5*c**2 - c - 4. Let p be z(-5). Let r = p - -10. Find the second derivative of 10*q**3 + r*q + 141*q**2 - 141*q**2 wrt q. 60*q Differentiate 22 - 119 + 101*b**3 - 1391*b**2 + 1390*b**2 with respect to b. 303*b**2 - 2*b Differentiate -39*i**3 + 28 - 30*i**3 - 42*i**3 + 191 + 135 wrt i. -333*i**2 Let p = 2386 + -158. What is the derivative of 49*j**3 - p*j + 48 + 2228*j wrt j? 147*j**2 What is the third derivative of -278348 + 241*b**5 + 278348 - 2*b**2 + 9*b wrt b? 14460*b**2 Let y(a) be the second derivative of 5*a**8/56 + 23*a**6/30 - 59*a**4/3 + 382*a. What is the third derivative of y(h) wrt h? 600*h**3 + 552*h Let o(i) be the first derivative of -322*i**6/3 - 505*i**3/3 - 551. Find the third derivative of o(a) wrt a. -38640*a**2 Let b(z) be the third derivative of -3*z**2 + 0*z + 0*z**3 + 0*z**6 + 5/8*z**4 + 0*z**5 + 0 + 11/210*z**7. What is the second derivative of b(w) wrt w? 132*w**2 Let h(l) be the second derivative of l**7/42 - l**5/15 + 7*l**2/2 - 9*l. Let g(v) be the first derivative of h(v). Find the third derivative of g(c) wrt c. 120*c Let b be 5 + (-3 - -6) + -5. Find the second derivative of -3*i**3 - 14*i + b*i**3 - 11*i**5 + 12*i**5 wrt i. 20*i**3 Let n(s) be the first derivative of -s**4 - 27*s**2 + 889*s - 817. What is the first derivative of n(a) wrt a? -12*a**2 - 54 Let c = 17 - 15. Differentiate -10*o - 9 + 8 - 5 - c with respect to o. -10 Let y(q) be the first derivative of 0*q + 0*q**4 - 7 + 7/3*q**3 + 0*q**2 - 3*q**5. What is the third derivative of y(n) wrt n? -360*n Find the second derivative of 21*p**2 - 152*p + 10*p**3 + 21*p**3 - 646*p - 22*p**2 wrt p. 186*p - 2 Let t(h) = 3 - 2 + 4*h - 6*h - 11. Let j be t(-6). Find the first derivative of -10 - 2*m**2 + 14 - 3*m**j wrt m. -10*m Let b(n) = -n + 2*n**2 + 0*n**3 + 2*n**3 + 0*n**3 + 2*n**3. Let q be b(1). What is the second derivative of -2*u + q*u**5 - 6*u**5 - u**5 wrt u? -40*u**3 Suppose -6*q + 46 + 44 = 0. Differentiate q + 10 - 6 + 36*h**3 wrt h. 108*h**2 Let m(v) = -v**3 + 11*v**2 + 16*v - 16. Let q be m(12). What is the second derivative of 16*j**5 - 52*j + q*j**5 + 3*j wrt j? 960*j**3 Differentiate -155*u**3 - 3*u + 3*u + 268 - 137*u**3 + 57 with respect to u. -876*u**2 Let n(j) be the first derivative of 16 + 17 + 9*j**2 - 34 + 4*j. Find the first derivative of n(l) wrt l. 18 Find the first derivative of -167*b - 94 + 167*b - b**3 - 21*b**4 + 19*b**4 wrt b. -8*b**3 - 3*b**2 Let c(r) be the third derivative of 5*r**6 - r**4/6 + 53*r**3/6 - 8*r**2 - 37. What is the second derivative of c(h) wrt h? 3600*h Let f(m) = -217*m**2 - 32*m - 2. Let j(y) = -y**2 + y - 1. Let o(d) = f(d) - 5*j(d). Find the second derivative of o(g) wrt g. -424 Let j = 141/26 + 1/13. Let r(p) be the second derivative of 0 + j*p**2 - 10*p + 3/2*p**3. What is the first derivative of r(a) wrt a? 9 What is the third derivative of -316*o**4 + 13 + o**2 + 414*o**4 + 3*o**3 - 3*o**3 wrt o? 2352*o Suppose 0 = -l - 3*l + 56. Suppose 0 = 8*y - 13*y + 10. Find the second derivative of l*m - 25*m + 14*m - y*m**2 wrt m. -4 Suppose 0 = 2*j - 15 - 25. Suppose 4*a - 2*y - y = 9, -j = -4*y. What is the first derivative of 8*z**2 + 10 + 5*z**2 - z**2 - a*z**2 wrt z? 12*z Let o(d) be the first derivative of -d**3/3 - 289*d**2 + 426*d + 851. What is the derivative of o(a) wrt a? -2*a - 578 Let o(j) be the second derivative of j**5/20 + 13*j**3/6 - 133*j**2/2 + 85*j. Find the first derivative of o(u) wrt u. 3*u**2 + 13 Let b(d) be the second derivative of 281*d**4/12 + 15*d**3/2 - d**2 + 2*d + 57. Find the second derivative of b(h) wrt h. 562 Let m(i) = 4*i**2 + 105*i + 151. Let w(s) = -5*s**2 - 104*s - 148. Let d(u) = 7*m(u) + 6*w(u). Find the first derivative of d(z) wrt z. -4*z + 111 Let y(v) = 6*v**3 + 4*v**2. Let p(g) = 5*g**3 + 4*g**2 - 2. Let d(w) = -5*p(w) + 6*y(w). What is the third derivative of d(b) wrt b? 66 Let c(s) be the second derivative of -13/2*s**2 + 0*s**3 + 3/4*s**4 - 12*s + 0. What is the derivative of c(a) wrt a? 18*a Let j(w) = 11*w**4 + 5*w**2 - 124. Let y(q) = 13*q**4 + 6*q**2 - 124. Let v(d) = 6*j(d) - 5*y(d). What is the derivative of v(a) wrt a? 4*a**3 What is the second derivative of -3*f**3 + 141 - 6*f**5 - 5*f + 4*f + 3*f**3 - 2*f**2 wrt f? -120*f**3 - 4 What is the second derivative of -14*h + 37 + 25*h**3 + 12*h + 9*h + 21*h**3 + 10*h**2 wrt h? 276*h + 20 Let q(w) = 40*w + 130. Let l(r) = -13*r - 43. Let v(u) = -16*l(u) - 5*q(u). Differentiate v(m) wrt m.
{ "pile_set_name": "DM Mathematics" }
. -80*sqrt(11) Simplify (5*sqrt(50)/sqrt(2) + sqrt(25))/(sqrt(20)/(sqrt(4)*2)). 12*sqrt(5) Simplify (-5*sqrt(24))/(-2*sqrt(147) - sqrt(147)). 10*sqrt(2)/21 Simplify (5 + (sqrt(104)*1*4)/sqrt(8))**2*4. 160*sqrt(13) + 932 Simplify 0 + (sqrt(684) + sqrt(684) + 2)**2. 48*sqrt(19) + 2740 Simplify -1*sqrt(7)*-1*-3. -3*sqrt(7) Simplify sqrt(24)/(3*sqrt(48)/sqrt(4)). sqrt(2)/3 Simplify 0 + (-1*((sqrt(2205) - sqrt(45)) + sqrt(45)) + sqrt(45))/sqrt(9). -6*sqrt(5) Simplify -2*sqrt(275) + sqrt(11) + sqrt(44) + 0 + sqrt(11). -6*sqrt(11) Simplify ((sqrt(1700) + -1)*-5)**2*2. -1000*sqrt(17) + 85050 Simplify (2*sqrt(2700))/(sqrt(36)*-1). -10*sqrt(3) Simplify (4 + sqrt(91)/(sqrt(28)/sqrt(4)))**2*-3. -87 - 24*sqrt(13) Simplify sqrt(272)*-1 + (sqrt(833) + 2 - sqrt(833))**2. -4*sqrt(17) + 4 Simplify sqrt(513)/sqrt(3)*-5. -15*sqrt(19) Simplify 1 + sqrt(2299) + 2. 3 + 11*sqrt(19) Simplify (sqrt(2) - sqrt(800))**2 + (sqrt(98) + 1)**2. 14*sqrt(2) + 821 Simplify -1*((sqrt(13) + 3)**2 + 0). -22 - 6*sqrt(13) Simplify -3*1*(sqrt(30)/sqrt(6) - sqrt(5)). 0 Simplify (sqrt(7) + 0)*6 - (2 + sqrt(7) + 4). -6 + 5*sqrt(7) Simplify ((1*(sqrt(187) + (sqrt(187) - sqrt(187)*2)))/(-3*sqrt(22)/sqrt(2)))**2. 0 Simplify sqrt(18)/(sqrt(6) - (sqrt(6) - 3*sqrt(48)/sqrt(8))). sqrt(3)/3 Simplify -3 + sqrt(190)/(-1*sqrt(10)). -sqrt(19) - 3 Simplify (0 + sqrt(153) - sqrt(153))*-6 - (0 + sqrt(153) + -4). -3*sqrt(17) + 4 Simplify (sqrt(168)/sqrt(3)*5)/((sqrt(8) - sqrt(128))*-6). 5*sqrt(7)/18 Simplify sqrt(21)/(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + sqrt(1008)*-3))). sqrt(3)/48 Simplify -5*(sqrt(112) + 0)**2. -560 Simplify 3*(0 + sqrt(171))*-6. -54*sqrt(19) Simplify ((-3*sqrt(95)*-3)/sqrt(5)*-4)**2. 24624 Simplify (-4*(-2 + -5*sqrt(28)))**2. 640*sqrt(7) + 11264 Simplify (sqrt(325))**2 + 2 + 1*sqrt(468) + sqrt(468). 12*sqrt(13) + 327 Simplify sqrt(11) - -4*sqrt(704) - ((sqrt(11) - sqrt(33)/sqrt(3)) + 5). -5 + 33*sqrt(11) Simplify 5 + -5*(2 + sqrt(13)). -5*sqrt(13) - 5 Simplify 6*(sqrt(242) + -3)**2. -396*sqrt(2) + 1506 Simplify (3 + sqrt(2) + 2*sqrt(32))*4. 12 + 36*sqrt(2) Simplify (sqrt(6)/sqrt(2)*2*4)**2 + 3. 195 Simplify -4 + (sqrt(208)*6)**2. 7484 Simplify (-2 + (-5*sqrt(45)/sqrt(3) + sqrt(15))/(sqrt(10)/(sqrt(8)/sqrt(4))))**2. 16*sqrt(3) + 52 Simplify -6*sqrt(7)*-1 + -1 + sqrt(7)*-1. -1 + 5*sqrt(7) Simplify -2*sqrt(176) + -6*(sqrt(99))**2. -594 - 8*sqrt(11) Simplify (sqrt(228) - (sqrt(228) + sqrt(228)*1*-6 - sqrt(228) - sqrt(228)))/(sqrt(84)/(sqrt(7) + sqrt(7) + sqrt(112))). 48*sqrt(19) Simplify ((-1*sqrt(1008) - sqrt(1008)) + -2)*-6. 12 + 144*sqrt(7) Simplify 3 + sqrt(132)/(sqrt(1728) + 2*sqrt(1728)) + 5. sqrt(11)/36 + 8 Simplify (sqrt(21) - (-1*sqrt(168))/sqrt(8))/(sqrt(7) + sqrt(7) + sqrt(42)/sqrt(96)). 8*sqrt(3)/9 Simplify 1*sqrt(112) + 4 + sqrt(112). 4 + 8*sqrt(7) Simplify -5*5*-3*(sqrt(252) + -1). -75 + 450*sqrt(7) Simplify -3 + sqrt(39)/(sqrt(3) - (-1*sqrt(108) + sqrt(108))). -3 + sqrt(13) Simplify sqrt(66)/(sqrt(726)*-6). -sqrt(11)/66 Simplify (sqrt(242) - sqrt(242)*2)**2 - (0 + sqrt(2)*1). -sqrt(2) + 242 Simplify (6*(sqrt(13) + sqrt(1053)))**2 + (-3*(sqrt(13) + 5))**2. 90*sqrt(13) + 47142 Simplify (-3 + sqrt(18)/(sqrt(18)/sqrt(2)*-1))**2. 6*sqrt(2) + 11 Simplify (2*sqrt(39)*-3)/(sqrt(36)/(sqrt(24)/sqrt(2))). -6*sqrt(13) Simplify (-2 + sqrt(704) - sqrt(704) - (-3 + sqrt(891)))**2. -18*sqrt(11) + 892 Simplify (sqrt(3) - (2 + sqrt(3) + 1)**2) + -1*sqrt(192). -13*sqrt(3) - 12 Simplify ((sqrt(102)*2 + sqrt(102))*-2 + sqrt(102))/sqrt(6) + 2 + 5. -5*sqrt(17) + 7 Simplify sqrt(80)*-3*1. -12*sqrt(5) Simplify -4 + (3*-1*sqrt(245))**2. 2201 Simplify (sqrt(27)/(sqrt(9) + sqrt(900)*-1 + sqrt(9) + sqrt(9) - sqrt(9)))**2. 3/64 Simplify (sqrt(120)/(sqrt(2)*-2))/(sqrt(192)*5). -sqrt(5)/40 Simplify (sqrt(3267) + 2 - sqrt(3267))**2. 4 Simplify sqrt(1008)*-1 - (sqrt(7) + sqrt(252)*1). -19*sqrt(7) Simplify ((5 + sqrt(7) + -1 - (sqrt(21)/sqrt(3) + -3))*-3)**2. 441 Simplify (sqrt(75)*-1 + -2)**2. 20*sqrt(3) + 79 Simplify sqrt(171)/(sqrt(27)/sqrt(3))*2. 2*sqrt(19) Simplify 0 + sqrt(50)/(-1*sqrt(10)) + -5. -5 - sqrt(5) Simplify (3 + sqrt(637))**2*3. 126*sqrt(13) + 1938 Simplify (sqrt(112) - (1 + sqrt(112)) - sqrt(112))*2. -8*sqrt(7) - 2 Simplify (1*(sqrt(208) + (sqrt(208)*1 - sqrt(208) - sqrt(208))))**2. 0 Simplify -5*sqrt(6)/(-6*sqrt(4)/sqrt(2)). 5*sqrt(3)/6 Simplify ((1*sqrt(459))/sqrt(9) - sqrt(51))/(sqrt(3) - (-6*2*sqrt(3) - sqrt(3))). 0 Simplify sqrt(5) + (sqrt(30)/sqrt(96))**2 - (0 + sqrt(45)). -2*sqrt(5) + 5/16 Simplify ((sqrt(384)*-2 + sqrt(384))/sqrt(12) + 3)**2. -24*sqrt(2) + 41 Simplify 1*(sqrt(1088)*-1 - sqrt(1088))*6. -96*sqrt(17) Simplify sqrt(91)/(sqrt(77)/(sqrt(33)/sqrt(3))) + ((sqrt(91)*1*5 + sqrt(91) - sqrt(91))/sqrt(7))**2. sqrt(13) + 325 Simplify (sqrt(68)*-1)**2 - ((sqrt(272) + sqrt(272) + 1)**2 - sqrt(17)). -1021 - 15*sqrt(17) Simplify 2*(-3 + sqrt(66)/sqrt(6)*3). -6 + 6*sqrt(11) Simplify (-4 + sqrt(15)/sqrt(3) + sqrt(605) + 0)**2 + -2. -96*sqrt(5) + 734 Simplify (((sqrt(3264) - -1*sqrt(3264) - sqrt(51))/sqrt(3))**2 + 2)*-6. -22962 Simplify -4*(((-1*sqrt(52)/sqrt(4))**2 - sqrt(13)) + (1*sqrt(13) + sqrt(13))*3). -20*sqrt(13) - 52 Simplify (sqrt(315)/sqrt(63))/(-2*sqrt(1089)). -sqrt(5)/66 Simplify (-1*sqrt(5) + -5 + 6*(0 + sqrt(5)) + -1*sqrt(180)*-2)**2. -170*sqrt(5) + 1470 Simplify (5*(sqrt(228) + sqrt(228)*2 - sqrt(228)) - sqrt(228) - sqrt(228) - sqrt(228) - sqrt(228))/(5*sqrt(12)*3). 2*sqrt(19)/5 Simplify 2 + sqrt(60)/(2*sqrt(300)). sqrt(5)/10 + 2 Simplify ((1 + sqrt(17) - sqrt(17)) + -4 - (sqrt(17) - (sqrt(136)/(sqrt(24)/sqrt(3)) + sqrt(17) - sqrt(17))))**2. 9 Simplify ((-1*sqrt(85) + sqrt(85))/sqrt(5) - sqrt(17)) + (sqrt(68)/sqrt(4))**2*-4. -68 - sqrt(17) Simplify sqrt(88)/(-2*sqrt(8)) + -3*sqrt(11) + 5. -7*sqrt(11)/2 + 5 Simplify (sqrt(121) - (sqrt(121) + sqrt(121)*-2)*-6)/(sqrt(11) + sqrt(44)/(sqrt(4)*-1) - sqrt(11)). 5*sqrt(11) Simplify (-1 + -3 + (5 + sqrt(12) - sqrt(3)))**2. 2*sqrt(3) + 4 Simplify sqrt(17) - (3 + sqrt(153)) - (-2 + sqrt(2057))**2. -2064 + 42*sqrt(17) Simplify (sqrt(13) + 0 + sqrt(13))**2*4 - (sqrt(39)/sqrt(3) + -1). -sqrt(13) + 209 Simplify sqrt(98) + -6*(sqrt(98) + 1). -35*sqrt(2) - 6 Simplify ((-4*(sqrt(98) + 1) - sqrt(98))*3)**2. 2520*sqrt(2) + 22194 Simplify (-1 + -4*(sqrt(7) + -3 - sqrt(7)) + sqrt(1008) + sqrt(1008)*-1)**2. 121 Simplify 1 + (sqrt(7) - sqrt(21)/sqrt(3)) + 0 + sqrt(7) + sqrt(7)*-1. 1 Simplify sqrt(50)/(sqrt(10)*2 + sqrt(10)) + -3. -3 + sqrt(5)/3 Simplify (sqrt(405) + (3*sqrt(405))**2 - sqrt(405)) + 5. 3650 Simplify (0 + 3 + sqrt(19)*-2 + 3)**2. -24*sqrt(19) + 112 Simplify -6*(-4*1*sqrt(10))/(sqrt(5) + -2*(sqrt(5) - (sqrt(5)*2 - sqrt(5)))). 24*sqrt(2) Simplify ((sqrt(22)/sqrt(2) + sqrt(11) - sqrt(11)) + 0)*-1. -sqrt(11) Simplify ((sqrt(192)/sqrt(8) - sqrt(6)) + sqrt(6))/(sqrt(2) - (-2*sqrt(98) - sqrt(98))). sqrt(3)/11 Simplify -5*-2*sqrt(3) + -1 + (sqrt(6)/(sqrt(2) - (2*sqrt(2) + sqrt(2) + sqrt(2))) - ((sqrt(36)/sqrt(2) + sqrt(18))/sqrt(6) - sqrt(3))). -1 + 26*sqrt(3)/3 Simplify (-3 + -2*sqrt(272) + sqrt(272))**2. 24*sqrt(17) + 281 Simplify (sqrt(243) - (sqrt(432) + -5))**2. -30*sqrt(3) + 52 Simplify (-1 + sqrt(2057)*-2)**2. 44*sqrt(17) + 8229 Simplify (-3 + sqrt(700) + 0)*4. -12 + 40*sqrt(7) Simplify (sqrt(36)/(sqrt(3)*2) - sqrt(12))/(sqrt(42)/(sqrt(7) + sqrt(28)/sqrt(4))). -sqrt(2) Simplify (sqrt(208))**2 + (sqrt(52)/sqrt(4))**2 + 4. 225 Simplify (-2*sqrt(2299) + sqrt(2299) + 4)*-3. -12 + 33*sqrt(19) Simplify (sqrt(2) - (sqrt(2) + sqrt(2)*2 + 5 - sqrt(2))) + 0. -5 - sqrt(2) Simplify sqrt(49)/(sqrt(7) - sqrt(1575)). -sqrt(7)/14 Simplify (((sqrt(76) + (sqrt(76)*2 - sqrt(76)) + sqrt(76) + sqrt(76))*6)/sqrt(4))**2. 10944 Simplify -5*(sqrt(6)/sqrt(3) + sqrt(2)) + 3. -10*sqrt(2) + 3 Simplify -2 + sqrt(1125). -2 + 15*sqrt(5) Simplify 1*(sqrt(17) - sqrt(425)) - (2 + sqrt(2448)). -16*sqrt(17) - 2 Simplify (-2*sqrt(1470) + sqrt(1470))/(sqrt(486)*-1). 7*sqrt(5)/9 Simplify (2 + -6*sqrt(605)*2)**2. -528*sqrt(5) + 87124 Simplify ((-1*sqrt(810))/(-2*(sqrt(5) - sqrt(5)*-1)))**2. 81/8 Simplify 1 + ((-1*sqrt(540) - sqrt(540))/sqrt(9))/sqrt(12). -2*sqrt(5) + 1 Simplify sqrt(243) + 0 + sqrt(12)*4. 17*sqrt(3) Simplify (5 + 1 + sqrt(320))**2. 96*sqrt(5) + 356 Simplify sqrt(10)/(-1*(sqrt(5) - sqrt(15)/sqrt(3)) - sqrt(5)). -sqrt(2) Simplify 1*sqrt(288) + 4 -
{ "pile_set_name": "DM Mathematics" }
2) + 5696 Simplify (4 + -1*(sqrt(272) + (sqrt(272) - (sqrt(272) - (1 + sqrt(272)))))*-6 + 5)**2. 1440*sqrt(17) + 39393 Simplify (-1 + 1*(-4 + 1*sqrt(99) - (0 + -1 + sqrt(99) + sqrt(99))))**2. 24*sqrt(11) + 115 Simplify ((1*sqrt(190) - sqrt(190))*-3 - ((sqrt(190) - sqrt(190)*1 - sqrt(190))*1 + sqrt(190)))/(-4*sqrt(1440)*5). 0 Simplify sqrt(44)/(sqrt(4) + sqrt(20)/sqrt(5)) - (sqrt(11) + sqrt(275) + 2) - (sqrt(3993) + (sqrt(3993) + sqrt(3993)*-1 - sqrt(3993)))/(5*sqrt(6)/sqrt(2)). -11*sqrt(11)/2 - 2 Simplify ((-3*(sqrt(119) + 5*2*sqrt(119)))/((sqrt(35) + sqrt(140) - sqrt(35))/sqrt(5) + ((sqrt(175) - -2*sqrt(175)) + sqrt(175) - sqrt(175))))**2. 1089/17 Simplify (1*(-2 + sqrt(3))**2 - ((sqrt(18) + sqrt(882) + sqrt(18) + sqrt(18))/sqrt(6))**2) + -2. -295 - 4*sqrt(3) Simplify ((5*sqrt(11)*-2 - (sqrt(176) + 2) - 3*sqrt(132)/sqrt(108))*-2)**2. 240*sqrt(11) + 9916 Simplify ((-3*-2*sqrt(84))/sqrt(12))**2 - ((sqrt(7) - ((sqrt(1008) + -1)**2 - sqrt(7))) + sqrt(7) + -4). -27*sqrt(7) + 1265 Simplify (3*(5 + sqrt(1331) + 2*sqrt(1331)*-5 - (sqrt(1331) - (sqrt(1331) + (sqrt(1331) - (5 + sqrt(1331) + 1))) - sqrt(1331))*4))**2. 18810*sqrt(11) + 302724 Simplify ((sqrt(133) + (sqrt(133) - ((2*sqrt(133) - sqrt(133)) + sqrt(133) + sqrt(133))*-3 - sqrt(133)) + sqrt(133) + sqrt(133))*-1)/(-6*-2*sqrt(63)). -sqrt(19)/3 Simplify 5 + 0 + sqrt(605)*-2 + 1*sqrt(605) + 5 + -4. -11*sqrt(5) + 6 Simplify 1*(5*(sqrt(7) + -1) - (sqrt(7) - (sqrt(168)/sqrt(6))**2))*2. 8*sqrt(7) + 46 Simplify 2*1*-3*(sqrt(20)/(sqrt(20)/sqrt(5)) - (sqrt(15) + (sqrt(15) - sqrt(30)/sqrt(2)))/sqrt(3)). 0 Simplify (((sqrt(1539) + 3*sqrt(1539))*-1)**2 - (sqrt(1539) + 1 + 1)**2)*1. -36*sqrt(19) + 23081 Simplify 1 + (4*(sqrt(5) - (sqrt(5) + -3*sqrt(605))))**2 + ((-4 + sqrt(5) + sqrt(5)*-2)*6)**2. 288*sqrt(5) + 87877 Simplify 4 + (-1 + -5 + sqrt(1792)*2)**2. -384*sqrt(7) + 7208 Simplify -1*((sqrt(190)/(sqrt(30)/sqrt(3)))**2 + sqrt(19) + (2*sqrt(171))/sqrt(9))*3. -57 - 9*sqrt(19) Simplify (-3*sqrt(60)*-1)/sqrt(12) + -3*-3*(2 + sqrt(5)). 18 + 12*sqrt(5) Simplify 2*((sqrt(539) + 0 - sqrt(539))**2 + 0 + (1 + sqrt(539) + -1)**2). 1078 Simplify (4 + (sqrt(5) - (1 + sqrt(5))) + 0 + (sqrt(180)*1 + sqrt(5) + (sqrt(720) - (sqrt(720) + sqrt(720) + (sqrt(720) - (0 + sqrt(720))))) + sqrt(5))**2)*-1. -83 Simplify (6*6*(1 + sqrt(1700))*3)**2*4. 933120*sqrt(17) + 79361856 Simplify 4 + (sqrt(102) + sqrt(102) + sqrt(102) + 1*sqrt(102)*6 + sqrt(102))/(sqrt(486)*1). 4 + 10*sqrt(17)/9 Simplify ((sqrt(70)/sqrt(5)*-4 + sqrt(14) - sqrt(14))/(sqrt(28)/(sqrt(196) + sqrt(4))))**2. 2048 Simplify (2*(1 + sqrt(147) + sqrt(147))*4*6)**2. 64512*sqrt(3) + 1357056 Simplify (sqrt(1125)*1*4)/(1*sqrt(36)/sqrt(4) - sqrt(9)*1*-2). 20*sqrt(5)/3 Simplify 6*(sqrt(363) + (sqrt(363) + -2*sqrt(363) - sqrt(363)) + sqrt(363) + 3 - 2*sqrt(363)*-2)**2. 1584*sqrt(3) + 34902 Simplify (1*sqrt(2178)*-3)/(5*sqrt(18)/(sqrt(21)/sqrt(7))). -33*sqrt(3)/5 Simplify (sqrt(11) - (0 + sqrt(44)) - sqrt(11)) + 4 + sqrt(11) + -2 + sqrt(891) + 0 + sqrt(891) + 4 + sqrt(891). 6 + 26*sqrt(11) Simplify ((0 + sqrt(320) + 3)*2 + (sqrt(320) + sqrt(320)*1 + 4 - (-5 + 1 + sqrt(320))))**2*1. 672*sqrt(5) + 3076 Simplify (-1*sqrt(204)/(sqrt(24)/sqrt(2)))**2 - 5*sqrt(1088)*-2. 17 + 80*sqrt(17) Simplify 2*(3 + (sqrt(1573) + -4)*1)**2. -44*sqrt(13) + 3148 Simplify ((sqrt(14) - sqrt(56))/sqrt(2) - sqrt(7)*1*-4 - sqrt(49)/(sqrt(14)/(-2*sqrt(2))))**2. 175 Simplify sqrt(304) + 1 + sqrt(304) + sqrt(304) + -2 - (-4 + sqrt(684) + -5). 8 + 6*sqrt(19) Simplify 2 + (((sqrt(20) - sqrt(40)/sqrt(2) - sqrt(20)) + sqrt(20))*2)/sqrt(10) + (sqrt(72)*1)/sqrt(4) + -1. 1 + 3*sqrt(2) Simplify ((sqrt(2835) + sqrt(2835)*-1 - sqrt(2835)) + sqrt(2835))/(sqrt(20) - sqrt(180)). 0 Simplify (1 + sqrt(637) + 1*sqrt(637) + -4 + (sqrt(637) + -1)*-4*2)**2. -420*sqrt(13) + 22957 Simplify (sqrt(55) + sqrt(660)/sqrt(192))/(sqrt(50)/(sqrt(10) - sqrt(160))) - (sqrt(495)*-4)/(sqrt(135)/sqrt(3)). sqrt(11)/4 Simplify (sqrt(156) + (sqrt(156) - 2*sqrt(156)*1) - sqrt(156) - 1*sqrt(156)*4)/(-2*sqrt(48)/sqrt(4) - (sqrt(108)*1)/sqrt(9)). 5*sqrt(13)/3 Simplify 1*(sqrt(288) - (1 + sqrt(288) + sqrt(288))) + ((sqrt(8) + 1)*-2 - (sqrt(96)/(sqrt(24)/sqrt(2)) + sqrt(8))). -20*sqrt(2) - 3 Simplify ((sqrt(180) + -3 + sqrt(180))*2 - sqrt(180) - (2*sqrt(25)/sqrt(5) + (sqrt(60)/sqrt(2))/sqrt(6) + sqrt(5) + sqrt(5)))**2. -156*sqrt(5) + 881 Simplify (((sqrt(15) - sqrt(1815))*5)/((sqrt(6) + sqrt(150) + sqrt(6))/sqrt(2))*5)**2. 312500/49 Simplify (-1*sqrt(200) + 0 + 3 - ((0 + sqrt(162))*-6 + (1 + sqrt(162))*-1))**2. 424*sqrt(2) + 5634 Simplify (1*(sqrt(140)/sqrt(7) - sqrt(20)))/(sqrt(12)/sqrt(3)*-6). 0 Simplify ((-5*1*sqrt(95))/(-2*sqrt(405)))**2*5. 2375/324 Simplify 2 + (3 + (3 + sqrt(76) + 1 - sqrt(76)) + 1 + 2)**2. 102 Simplify (sqrt(36)/sqrt(4)*2 - sqrt(54)/sqrt(24))/(sqrt(108) + (-1*sqrt(12))/sqrt(4)). 3*sqrt(3)/10 Simplify -4 + sqrt(1900) + (sqrt(1900) - (1*(sqrt(1900) + 0) + sqrt(1900)))**2 + -2. 10*sqrt(19) + 1894 Simplify (-1 + (sqrt(76) + 2)*3 - (-6*(sqrt(76) + 2) + sqrt(76) + -4))**2. 672*sqrt(19) + 5305 Simplify -2 + (-2*(-1 + sqrt(208))*-5 + 5)**2. -400*sqrt(13) + 20823 Simplify (sqrt(70)/(sqrt(20)/sqrt(2)) + 5 + sqrt(56)/(sqrt(288)*-1))**2 + -4. 25*sqrt(7)/3 + 931/36 Simplify (sqrt(38)/sqrt(2)*-2 - 2*(sqrt(19) + 1)) + (sqrt(342)/sqrt(6))/sqrt(3)*-1. -5*sqrt(19) - 2 Simplify (sqrt(3) - (sqrt(3) + -1)*-1)**2*-5 + -6*sqrt(3)*-2 + sqrt(3)*-2 + -5. -70 + 30*sqrt(3) Simplify (sqrt(110) - (sqrt(110) + (sqrt(110) - ((sqrt(110) - -1*sqrt(110) - sqrt(110))*5 - sqrt(110))) + sqrt(110)))/(sqrt(10) - (sqrt(10) + sqrt(160))). -sqrt(11)/2 Simplify (-4*(sqrt(22) - (sqrt(22) - (sqrt(22) + sqrt(198))))*5)/(-4*(sqrt(275) + -2*sqrt(275))). -4*sqrt(2) Simplify ((-3 + 1 + sqrt(252) + 0)*2 + 4)**2. 1008 Simplify (sqrt(55)/(sqrt(125) + 1*sqrt(125) - sqrt(125)) - -5*(sqrt(539) + (sqrt(539) - ((sqrt(539) - -2*sqrt(539)) + sqrt(539))) - sqrt(539)))**2. 3020336/25 Simplify ((sqrt(1584)*-1 - sqrt(1584))*1 - (sqrt(1584) + 3 + sqrt(1584) + 0))**2 - (-2 + sqrt(1584) + -1 + (-1 + sqrt(1584))**2 + 0). 300*sqrt(11) + 23771 Simplify (sqrt(220)/(sqrt(80)*5))/(sqrt(12)/(-2*sqrt(108))). -3*sqrt(11)/5 Simplify (-1*sqrt(700) + 1)**2 + (-1 + -2 + sqrt(28) - (3 + sqrt(56)/sqrt(2))**2). -30*sqrt(7) + 661 Simplify (2*sqrt(2448))**2 - sqrt(2448) - 1*sqrt(153) - ((1*sqrt(102))/sqrt(6) + sqrt(17) + sqrt(85)/(sqrt(5) + sqrt(10)/sqrt(2)))**2. -15*sqrt(17) + 38743/4 Simplify (-1 + (0 + (sqrt(1300) + (sqrt(1300) - (sqrt(1300) - 3*sqrt(1300))) - sqrt(1300)))**2 + -1)*-5. -58490 Simplify (-5*sqrt(54)/sqrt(144))/(sqrt(24)/(sqrt(12)*-2*-2)). -5*sqrt(3) Simplify (sqrt(84)/(sqrt(28)/sqrt(4)) - (sqrt(120) + -2*sqrt(120) + sqrt(120))/sqrt(10))/(5*sqrt(20)/(sqrt(15)/sqrt(3))). sqrt(3)/5 Simplify ((sqrt(912)*-3)/(-6*sqrt(108)))**2. 19/9 Simplify 5*(-2 + (sqrt(704) - 4*-1*sqrt(704))**2). 87990 Simplify 2 + (2 + (sqrt(192) - (sqrt(192) + 1 + sqrt(192))**2)*4 - ((0 + sqrt(192) + 0)*6)**2). -9984 - 96*sqrt(3) Simplify ((sqrt(132) + 2*sqrt(132))*3 - sqrt(132))/((sqrt(132) + sqrt(132)*1)/sqrt(11)). 4*sqrt(11) Simplify ((sqrt(55) - 1*1*sqrt(55))*-6)/(((sqrt(66) + sqrt(66) + 1*sqrt(66))/sqrt(3))/sqrt(2)). 0 Simplify (2*((sqrt(228) - sqrt(228)*1) + sqrt(228))*4)/(sqrt(84)/(sqrt(896)/sqrt(8))). 32*sqrt(19) Simplify -6*(sqrt(162) + ((2*sqrt(162))**2 - sqrt(162)) - (sqrt(24) - sqrt(96))/sqrt(12)) + sqrt(16)/(sqrt(24)/sqrt(3)) + 0 + (sqrt(8)/sqrt(4))**2. -3886 - 5*sqrt(2) Simplify 6*(sqrt(448)*3*-5 + sqrt(448) + sqrt(448)*-3 + 5)**2. -8160*sqrt(7) + 776982 Simplify (-1*sqrt(228)*-3)/((sqrt(24) - sqrt(24)*-3)/sqrt(2) - sqrt(12)) + -5. -5 + sqrt(19) Simplify (-1*sqrt(99))**2 - 5*(sqrt(11) - sqrt(176)) - (sqrt(1584) - 3*(sqrt(1584) + 0)). 99 + 39*sqrt(11) Simplify -4 + (sqrt(3) + sqrt(15)/sqrt(5) + sqrt(3) + -5)*1 + -5. -14 + 3*sqrt(3) Simplify ((5*sqrt(612) + sqrt(612) + -2)*6 - -5*(sqrt(612)*4 + 0))**2. -8064*sqrt(17) + 1919376 Simplify sqrt(99)/(sqrt(9)*3) + -4 + 2 + 1. -1 + sqrt(11)/3 Simplify (2*sqrt(99)*3 - -2*sqrt(99)*6)/(sqrt(900)*-3*-5). 3*sqrt(11)/25 Simplify (sqrt(450)*-3)/sqrt(10) - (sqrt(55) + (sqrt(330)/(sqrt(6) - sqrt(54)) - sqrt(55)))/sqrt(11). -17*sqrt(5)/2 Simplify (-4*-3*-4*(0 + sqrt(13)))**2 - ((sqrt(91) - (sqrt(91) - (-2*sqrt(91) - sqrt(91))*1 - sqrt(91)) - sqrt(91))/(-2*sqrt(7)*-6))**2.
{ "pile_set_name": "DM Mathematics" }
2*c + 1334 for c. -29 Solve -13 + 6 = -r - 23 for r. -16 Solve -138*v + 205 + 71 = 0 for v. 2 Solve 82*n = 26*n + 1120 for n. 20 Solve 0 = 47*m - 372 + 184 for m. 4 Solve 90*f + 421 = -22 - 367 for f. -9 Solve -26 = -133*z + 30*z - 1468 for z. -14 Solve 88*f + 141 = 31*f - 429 for f. -10 Solve -433*r = 93*r for r. 0 Solve 132*m + 4992 = -76*m - 0*m for m. -24 Solve -96*g + 2160 = 144*g for g. 9 Solve 0 = 3387*m - 3392*m - 60 for m. -12 Solve 743*o - 8888 = 8201 for o. 23 Solve 17*z = 12*z + 3 - 13 for z. -2 Solve 115 + 47 = 14*a - 20 for a. 13 Solve -136 = 36*q + 296 for q. -12 Solve 485*p - 392 - 1925 - 1078 = 0 for p. 7 Solve -389 + 698 = 207*k - 933 for k. 6 Solve -25 = -54*o + 52 - 23 for o. 1 Solve 0 = 351*o - 265*o - 1708 - 184 for o. 22 Solve -167*r + 647 - 2150 = 0 for r. -9 Solve -26*q - 18*q + 8*q - 108 = 0 for q. -3 Solve 350 + 612 = -74*i for i. -13 Solve 0 = 80*r + 13*r + 1116 for r. -12 Solve -38*c = 2363 - 1907 for c. -12 Solve -459*w + 241*w + 243*w = -225 for w. -9 Solve 30*z - 1288 = 122*z for z. -14 Solve 21*f + 26*f = 6*f - 451 for f. -11 Solve -235*y + 471*y - 243*y + 28 = 0 for y. 4 Solve -222*v + 2256 = -363*v for v. -16 Solve -435432*b - 13 = -435433*b for b. 13 Solve -j - 59*j - 300*j = -11520 for j. 32 Solve 2706 + 1142 = 104*s for s. 37 Solve 137*k - 189*k - 104 = 0 for k. -2 Solve -170*j + 5860 = 123*j for j. 20 Solve w - 31 = 5*w - 63 for w. 8 Solve 854 - 1414 = 115*v + 2315 for v. -25 Solve 44 = -20*f - 23 - 13 for f. -4 Solve 0 = 771*z - 404*z - 3670 for z. 10 Solve 0 = 265*r - 3373 + 988 for r. 9 Solve -96*t - 2133 = -2901 for t. 8 Solve -887 + 991 = -8*j for j. -13 Solve 0 = -779*f + 727*f + 884 for f. 17 Solve -3484 = 40*d - 4204 for d. 18 Solve 144*p - p + 3603 = -1688 for p. -37 Solve 135*v + 9394 = -1127*v - 80*v for v. -7 Solve 404*r = 430*r - 598 for r. 23 Solve 38 = -21*j + 11*j - 2 for j. -4 Solve -9088 = -476*c + 908 for c. 21 Solve 75*z - 190*z = -62*z - 583 for z. 11 Solve -46*p - 27 + 13 - 124 = 0 for p. -3 Solve -52*m - 198 - 1629 = 35*m for m. -21 Solve -10 - 50 = 13*p - 8 for p. -4 Solve 753 = -220*u + 313 for u. -2 Solve -426*u + 6298 - 1401 + 641 = 0 for u. 13 Solve -13525 = -230*o - 134*o - 5153 for o. 23 Solve 40*n + 288 = 94*n + 42*n for n. 3 Solve 42*u + 74*u - 1304 = -260 for u. 9 Solve -83 + 21 = -38*t + 90 for t. 4 Solve -2612*h - 87 = -2583*h for h. -3 Solve -47*k + 31065 - 31347 = 0 for k. -6 Solve -27*y + 20*y + 315 = 56*y for y. 5 Solve -21*q = -1997 + 2039 for q. -2 Solve -26*i - 203 - 189 + 54 = 0 for i. -13 Solve 42*d - 37*d = -45 for d. -9 Solve 835*d - 749*d - 1634 = 0 for d. 19 Solve -5006*r + 210 = -4971*r for r. 6 Solve 1290*n - 9928 = 706*n for n. 17 Solve -25*j - 8047 + 7247 = 0 for j. -32 Solve 204*w + 86382 = 89850 for w. 17 Solve -102 - 495 = -69*b - 114 for b. 7 Solve -50*l - 603 + 218 = 5*l for l. -7 Solve -12*u - 5*u + 2*u = 0 for u. 0 Solve -3*a - 342 = -351 for a. 3 Solve 19 + 287 = 178*t - 50 for t. 2 Solve 12805*z - 223 = 12582*z for z. 1 Solve 0 = -379*i + 370*i - 117 for i. -13 Solve -44*n + 228*n + 184 = 0 for n. -1 Solve 706*n + 216 = 715*n for n. 24 Solve 90 - 62 = 7*a for a. 4 Solve 0 = 11*v + 291 - 280 for v. -1 Solve 1477 = -46*b - 116*b - 49*b for b. -7 Solve 7337 = 247*m + 6*m for m. 29 Solve 215*a - 24 = 422*a - 210*a for a. 8 Solve 31*q + 254 - 316 = 0 for q. 2 Solve 227*j - 36*j + 696 = -41*j for j. -3 Solve -30*s + 22*s + 17*s - 90 = 0 for s. 10 Solve -6*g - 23 = -10*g - 23 for g. 0 Solve 0 = -113*x - 2496 + 349 for x. -19 Solve 56*q + 239 + 41 = 0 for q. -5 Solve -3*q - 106*q + 654 = 0 for q. 6 Solve 0 = 18*r - 1331 + 1205 for r. 7 Solve 1381*o - 1287*o = 2820 for o. 30 Solve -1932 + 2787 = 45*l for l. 19 Solve -77*c + 15942 = 13786 for c. 28 Solve 480*h = 119*h - 50*h + 5754 for h. 14 Solve 0 = 5792*p - 5821*p for p. 0 Solve 0 = -204*b - 201*b + 2886 + 1974 for b. 12 Solve 391*k = 84*k + 3991 for k. 13 Solve 49 - 271 - 142 = 28*f for f. -13 Solve 217*w - 275*w - 1508 = 0 for w. -26 Solve -106*k + 1728 = 52*k + 34*k for k. 9 Solve -1571*v = -1611*v + 1400 for v. 35 Solve 28*g - 70 = 238 for g. 11 Solve 0 = 82*q + 407 - 161 for q. -3 Solve 0 = -64*u + 816 + 985 - 521 for u. 20 Solve 16*c + 3*c + 880 = 99*c for c. 11 Solve 0 = 2*g + 7 - 49 + 14 for g. 14 Solve 8*k + 188 = -15*k + 96 for k. -4 Solve -460 = -48*y + 35*y - 102*y for y. 4 Solve 80 + 27 = -146*y - 331 for y. -3 Solve 6*p + 93 = 69 for p. -4 Solve 155*k - 1493 - 1491 = 581 for k. 23 Solve 7*q + 31 + 37 - 47 = 0 for q. -3 Solve 0*t - 11*t + 170 = 6*t for t. 10 Solve -632*f = -305*f - 3597 for f. 11 Solve -666*i + 630*i = -324 for i. 9 Solve 368*o + 452 = -4*o - 664 for o. -3 Solve -49*i - 30*i = 1264 for i. -16 Solve -187 = 170*r + 96*r + 79 for r. -1 Solve -19*d + 41 + 66 = -45 for d. 8 Solve 483*l - 1484 - 441 = 490 for l. 5 Solve -2*l = 28*l + 5*l - 35 for l. 1 Solve -6*o = -81*o - 675 for o. -9 Solve 4*w - 16 = -0*w + 28 for w. 11 Solve 252*r + 730 = 179*r for r. -10 Solve 140*d + 1370 - 1553 = 2617 for d. 20 Solve -3650*v + 3657*v + 35 = 0 for v. -5 Solve 0 = 11*z - 53*z + 84 for z. 2 Solve 4*d = -22 - 10 - 20 for d. -13 Solve -505*v = -574*v - 1173 for v. -17 Solve 0 = -163*y + 2742 - 2905 for y. -1 Solve -26*n = -237*n + 633 for n. 3 Solve -196*v = -6631 + 2656 - 1905 for v. 30 Solve -440*a - 106*a + 14352 = 6*a for a. 26 Solve -3*y - 3*y + 51 = -57*y for y. -1 Solve 10*k + 34 - 29 - 45 = 0 for k. 4 Solve -55*a + 39*a = -176 for a. 11 Solve 61*u - 591 - 206 = 301 for u. 18 Solve 79936*n - 79926*n = 40 for n. 4 Solve -2*b = -78 + 72 for b. 3 Solve -68*b - 92*b - 263 - 1497 = 0 for b. -11 Solve -13197*g + 13208*g - 121 = 0 for g. 11 Solve -82*b - 230 = -244*b - 68*b for b. 1 Solve 43*v = -21*v - 448 for v. -7 Solve 0 = -30*t + 320 - 189 + 199 for t. 11 Solve -4863*i + 1080 = -4923*i for i. -18 Solve -264*r + 876 = -410*r for r. -6 Solve -184*p = -167*p + 217 + 191 for p. -24 Solve 513*m + 2556 = 93*m - 5004 for m. -18 Solve -33*l - 192 = -97*l for l. 3 Solve -54*q + 100*q + 75 = 51*q for q. 15 Solve 288*o = 507*o - 438 for o. 2 Solve 209*i - 5 - 50 = 220*i for i. -5 Solve -2159 = -749*r - 3533 - 8363 for r. -13 Solve 156 = 76*q + 384 for q. -3 Solve 1581 = -129*j + 13 + 149 for j. -11 Solve 0 = 802*j - 877*j + 75 for j. 1 Solve -53*l - 1591 + 743 = 0 for l. -16 Solve -16748*y + 16657*y + 1365 = 0 for y. 15 Solve 1344*x = -504*x + 403*x + 54910 for x. 38 Solve 21 - 479 = 229*p for p. -2 Solve -706 = 28*n + 134*n + 752 for n. -9 Solve -600*c + 618*c - 21 = -3 for c. 1 Solve 2253*q - 2262*q = 9 for q. -1 Solve -85 = -8*z - 12 - 17 for z. 7 Solve -890 = -39*f - 1670 for f. -20 Solve 0 = 12*z + 32*z - 660 for z. 15 Solve 7165 = 501*r + 2656 for r. 9 Solve -14*r - 200 + 19 = 1 for r. -13 Solve -14 = -27*b + 175 for b. 7 Solve 212*o + 7*o = 44*o + 2450 for o. 14 Solve 599*w = 587*w + 60 for w. 5 Solve -90*b + 61*b - 232 = 0 for b. -8 Solve 0 = -2*o + 15*o + 65 - 91 for o. 2 Solve -5*z + 66 + 70 = -22*z for z. -8 Solve 0 = 197*y - 0*y - 1922 + 346 for y. 8 Solve 679*w = 1361*w - 678*w - 8 for w. 2 Solve 2142 = -360*o + 3*o for o. -6 Solve 267 = 44*y - 129 for y. 9 Solve 116*j - 2527 + 903 = 0 for j. 14 Solve -38*s = -52*s - 98 for s. -7 Solve -99*p - 783 = -2367 for p. 16 Solve -251 = -197*u - 2579 + 161 for u. -11 Solve 8 - 328 = 251*y - 4336 for y. 16 Solve 40*h = 35*h - 51 - 4 for h. -11 Solve 493 = -395*f - 649 - 833 for f. -5 Solve -184*f = -1004 - 3412 for f. 24 Solve 213*d + 2138 + 839 = -1709 for d. -22 Solve 440 = 22*k - 33 - 55 for k. 24 Solve -2 = -51*j + 49 for j. 1 Solve 0 = -2*a + 540 - 564 for a. -12 Solve 328*x + 528*x = 25680 for x. 30 Solve -19 = -22*c + 132 + 113 for c. 12 Solve 368*v = 428 - 3768 - 4388 for v. -21 Solve 19*i + 44 - 196 = 0 for i. 8 Solve -21*t - 36 = -17 + 23 for t. -2 Solve 35*n + 820 = 365 for n. -13 Solve 0 = -79*q - 16*q - 380 for q. -4 Solve 174*t + 166*t = 376*t - 36 for t. 1 Solve 774*z = -410*z + 406*z + 23340 for z. 30 Solve 11*d + 138 - 231 = -115 for d. -2 Solve -37 + 36 = 29*k + 86 for k. -3 Solve 43*r + 52 = 10*r - 80 for r. -4 Solve -351*y - 1330 = -317*y - 344 for y. -29 Solve 434 = -5271*d + 5488*d for d. 2 Solve 0 = -342*a + 9418 - 4995 + 6179 for a. 31 Solve 126*g + 96*g = -666 for g. -3 Solve 0 = 35*o - 17*o - 24*o - 48 for o. -8 Solv
{ "pile_set_name": "DM Mathematics" }
-11221 (base 4) to base 14 -1bb Convert 11 (base 3) to base 16. 4 -62 (base 12) to base 4 -1022 What is 5 (base 14) in base 9? 5 10 (base 10) to base 7 13 -24 (base 15) to base 5 -114 4 (base 11) to base 15 4 0 (base 10) to base 2 0 What is -6 (base 13) in base 15? -6 What is 1a4 (base 13) in base 12? 213 Convert -45 (base 9) to base 7. -56 3 (base 7) to base 8 3 What is -24 (base 8) in base 12? -18 Convert 100 (base 2) to base 3. 11 -2 (base 7) to base 15 -2 4 (base 14) to base 7 4 What is 16 (base 14) in base 8? 24 0 (base 16) to base 2 0 What is -10 (base 2) in base 8? -2 1 (base 8) to base 10 1 -7 (base 8) to base 9 -7 Convert 255 (base 6) to base 8. 153 56 (base 10) to base 11 51 133 (base 8) to base 16 5b What is 10 (base 16) in base 15? 11 122 (base 11) to base 3 12101 Convert 100011 (base 2) to base 16. 23 Convert 2 (base 10) to base 2. 10 Convert 22 (base 6) to base 16. e Convert -55 (base 13) to base 8. -106 What is -47 (base 13) in base 9? -65 -172 (base 10) to base 8 -254 46 (base 16) to base 14 50 -12 (base 10) to base 12 -10 Convert 35 (base 14) to base 6. 115 3 (base 14) to base 8 3 Convert -64 (base 7) to base 6. -114 Convert -3 (base 16) to base 8. -3 What is 1 (base 3) in base 9? 1 Convert -402 (base 5) to base 13. -7b Convert 84 (base 11) to base 3. 10102 c (base 13) to base 11 11 Convert -1 (base 10) to base 14. -1 What is -49 (base 16) in base 6? -201 Convert 2 (base 14) to base 8. 2 110110 (base 2) to base 12 46 -200 (base 6) to base 11 -66 What is -2 (base 5) in base 9? -2 -354 (base 7) to base 15 -c6 What is 5 (base 12) in base 2? 101 20 (base 5) to base 16 a What is -12 (base 5) in base 13? -7 What is 114 (base 13) in base 15? c6 2 (base 7) to base 13 2 Convert 1 (base 15) to base 12. 1 b (base 14) to base 2 1011 Convert -1 (base 4) to base 9. -1 0 (base 9) to base 6 0 13 (base 4) to base 10 7 What is 10a (base 12) in base 7? 310 Convert 2 (base 10) to base 14. 2 What is -1 (base 2) in base 13? -1 128 (base 10) to base 15 88 What is 17 (base 15) in base 11? 20 What is -2 (base 5) in base 14? -2 What is -2002 (base 3) in base 15? -3b What is 1 (base 6) in base 3? 1 Convert -4 (base 8) to base 6. -4 What is -347 (base 10) in base 15? -182 -1 (base 9) to base 6 -1 Convert 1 (base 4) to base 13. 1 -1001 (base 2) to base 8 -11 1 (base 15) to base 13 1 What is -2 (base 3) in base 13? -2 What is 21 (base 8) in base 11? 16 -2 (base 15) to base 12 -2 What is 3 (base 8) in base 13? 3 Convert 2 (base 11) to base 9. 2 What is 6 (base 7) in base 15? 6 b (base 12) to base 7 14 What is 100 (base 2) in base 10? 4 Convert 22 (base 5) to base 13. c Convert -9 (base 15) to base 4. -21 What is 5 (base 7) in base 12? 5 -ad (base 15) to base 10 -163 What is -4 (base 15) in base 14? -4 What is -7 (base 8) in base 4? -13 What is -71 (base 9) in base 6? -144 What is 10011 (base 2) in base 5? 34 Convert 12 (base 4) to base 12. 6 13 (base 8) to base 15 b 23 (base 4) to base 3 102 -11 (base 9) to base 4 -22 25 (base 12) to base 5 104 What is -1021 (base 3) in base 9? -37 What is -2 (base 7) in base 8? -2 What is 1 (base 9) in base 10? 1 What is -1a (base 11) in base 10? -21 Convert -2 (base 3) to base 5. -2 What is -3 (base 8) in base 5? -3 What is -120 (base 5) in base 6? -55 Convert -8 (base 15) to base 16. -8 What is 2f (base 16) in base 7? 65 What is 15 (base 14) in base 16? 13 84 (base 13) to base 5 413 Convert -13a (base 12) to base 8. -276 -14 (base 11) to base 10 -15 What is e (base 15) in base 10? 14 5 (base 10) to base 9 5 -78 (base 10) to base 6 -210 -103 (base 9) to base 12 -70 Convert -1020 (base 3) to base 2. -100001 What is 5 (base 10) in base 3? 12 Convert -5 (base 16) to base 8. -5 Convert 2 (base 4) to base 3. 2 -2 (base 8) to base 5 -2 -16 (base 16) to base 13 -19 What is -10 (base 8) in base 14? -8 -1 (base 8) to base 5 -1 -2 (base 14) to base 4 -2 What is -1f (base 16) in base 13? -25 97 (base 10) to base 8 141 What is -a (base 12) in base 4? -22 Convert 16 (base 14) to base 3. 202 44 (base 5) to base 16 18 What is 0 (base 13) in base 12? 0 What is 23 (base 10) in base 11? 21 What is 423 (base 7) in base 11? 184 Convert 298 (base 11) to base 5. 2344 What is 1 (base 8) in base 4? 1 Convert -1 (base 16) to base 3. -1 What is 123 (base 5) in base 4? 212 Convert 12 (base 5) to base 8. 7 Convert 111 (base 2) to base 14. 7 What is 47 (base 10) in base 6? 115 What is -4 (base 16) in base 15? -4 What is 3 (base 10) in base 7? 3 What is 2 (base 14) in base 4? 2 Convert 1 (base 12) to base 7. 1 What is 45 (base 16) in base 11? 63 0 (base 5) to base 15 0 1 (base 12) to base 5 1 Convert 0 (base 14) to base 8. 0 Convert 10 (base 5) to base 6. 5 Convert -27 (base 12) to base 16. -1f 0 (base 10) to base 13 0 What is 13 (base 11) in base 9? 15 -1102 (base 4) to base 2 -1010010 What is 2 (base 3) in base 12? 2 -134 (base 5) to base 7 -62 ac (base 14) to base 2 10011000 55 (base 8) to base 10 45 43 (base 5) to base 3 212 Convert 3 (base 15) to base 5. 3 What is 1 (base 7) in base 15? 1 -125 (base 14) to base 15 -104 Convert 3 (base 9) to base 2. 11 Convert 12 (base 3) to base 11. 5 What is -30 (base 14) in base 5? -132 What is -11011 (base 3) in base 5? -422 What is -21 (base 13) in base 15? -1c 15 (base 9) to base 16 e Convert 54 (base 6) to base 7. 46 1 (base 16) to base 15 1 What is -1 (base 16) in base 15? -1 What is 8 (base 14) in base 11? 8 What is -3 (base 11) in base 10? -3 Convert -6 (base 9) to base 5. -11 Convert 3 (base 6) to base 4. 3 Convert 126 (base 7) to base 15. 49 Convert -100 (base 2) to base 5. -4 -52 (base 8) to base 4 -222 -1 (base 5) to base 3 -1 What is -2 (base 8) in base 13? -2 Convert 5 (base 15) to base 6. 5 What is -122 (base 7) in base 2? -1000001 What is 0 (base 15) in base 3? 0 Convert -2 (base 15) to base 10. -2 What is 48 (base 9) in base 7? 62 What is -2a (base 13) in base 16? -24 -2 (base 11) to base 3 -2 Convert 0 (base 10) to base 2. 0 -10 (base 4) to base 12 -4 1 (base 8) to base 5 1 Convert -10212 (base 3) to base 13. -80 Convert 5 (base 11) to base 5. 10 Convert -b0 (base 16) to base 14. -c8 -61 (base 12) to base 7 -133 What is 3 (base 11) in base 7? 3 1110111 (base 2) to base 12 9b -8 (base 14) to base 2 -1000 Convert -53 (base 6) to base 14. -25 Convert 1 (base 10) to base 12. 1 21 (base 5) to base 13 b What is 33 (base 4) in base 9? 16 Convert -3 (base 7) to base 8. -3 What is -3 (base 12) in base 15? -3 What is 1 (base 8) in base 2? 1 -7 (base 11) to base 5 -12 What is 3 (base 5) in base 8? 3 Convert -1321 (base 4) to base 12. -a1 What is 23 (base 6) in base 13? 12 Convert 53 (base 9) to base 10. 48 Convert 0 (base 4) to base 14. 0 What is -26 (base 16) in base 6? -102 1010 (base 2) to base 4 22 Convert -185 (base 9) to base 8. -236 What is 1101111 (base 2) in base 3? 11010 What is 16 (base 7) in base 9? 14 Convert -55 (base 10) to base 9. -61 What is -4 (base 14) in base 11? -4 -1 (base 9) to base 5 -1 Convert -55 (base 10) to base 2. -110111 What is -50 (base 14) in base 6? -154 4 (base 13) to base 14 4 82 (base 12) to base 14 70 Convert 3 (base 15) to base 5. 3 Convert 2 (base 12) to base 6. 2 Convert 1 (base 5) to base 16. 1 3200 (base 4) to base 6 1012 What is 61 (base 7) in base 4? 223 Convert 38 (base 13) to base 6. 115 -10 (base 5) to base 14 -5 Convert 44 (base 8) to base 11. 33 What is 4 (base 11) in base 4? 10 Convert 10101 (base 3) to base 14. 67 What is -21 (base 3) in base 2? -111 -16 (base 14) to base 6 -32 Convert 1010110 (base 2) to base 9. 105 What is -2221 (base 3) in base 9? -87 What is -8 (base 15) in base 3? -22 50 (base 11) to base 14 3d What is -33 (base 9) in base 15? -20 What is 64 (base 9) in base 13? 46 What is -72 (base 9) in base 10? -65 What is 8b (base 13) in base 12? 97 What is 210 (base 5) in base 14? 3d What is -1 (base 5) in base 9? -1 Convert 0 (base 3) to base 2. 0 What is 12 (base 3) in base 12? 5 Convert -15 (base 13) to base 14. -14 What is -4 (base 6) in base 3? -11 -322 (base 4) to base 2 -111010 Convert -1 (base 8) to base 10. -1 Convert 5 (base 12) to base 8. 5 -11010 (base 2) to base 9 -28 52 (base 6) to base 14 24 Convert 10 (base 6) to base 5. 11 What is -2 (base 13) in base 6? -2 What is 100 (base 2) in base 3? 11 Convert 36 (base 11) to base 3
{ "pile_set_name": "DM Mathematics" }
v - 1 = -21. Suppose -3*l = -0*l - 3*a - 816, d*l + 2*a - 1070 = 0. Is l a prime number? True Let p = 4565 - -11292. Is p composite? True Suppose 81*s - 2459499 - 947523 = 0. Is s a prime number? False Let p(w) be the third derivative of -35*w**4/8 - 11*w**3/6 - 6*w**2 + 12. Is p(-1) a composite number? True Let z = 99545 - -8798. Is z composite? False Suppose m - 7*l - 197852 = 0, m = 150*l - 155*l + 197912. Is m a composite number? False Suppose -7*f + 36 = 99. Let b be 3*6/f + 561 + 2. Suppose 0 = -3*m + b + 1332. Is m prime? True Let m(s) = -3*s**3 + 17*s**2 + 16*s - 39. Let j(k) = -k**3 - k - 1. Let p(b) = -2*j(b) + m(b). Is p(10) a composite number? True Suppose 0 = -o + 2 + 1. Suppose 6*b = 4*b + 2*d + 2552, -b - o*d + 1272 = 0. Let c = b + 10. Is c composite? True Let p(d) = 333*d**2 - 51*d - 47. Is p(13) composite? True Let f(x) = 18*x**3 + 4*x**2 - 21*x - 1. Let t(l) = 17*l**3 + 3*l**2 - 21*l - 1. Let q(s) = 6*f(s) - 7*t(s). Is q(-3) prime? False Let b = 23093 - 14946. Is b a composite number? False Suppose -2*q + 227009 = 3*d, 0 = 5*d - q - 273156 - 105175. Is d composite? True Let r = -26 + 30. Suppose r*s + 1320 = 2*b, -3*b = -s - 0*b - 320. Is ((-6)/(-12))/((-2)/s) a prime number? True Let x = 66167 - -86892. Is x a composite number? False Let v be 2 + 13/(13/4). Is (6117/(-9))/(-2*v/36) a composite number? False Let p = -20 - -30. Suppose y + 1352 = 11*o - p*o, -4066 = -3*o + 5*y. Is (2 - 4) + 6 + o a prime number? False Let k be 248 + 6*3/(-6). Suppose k - 1875 = -5*q. Let j = q - 63. Is j prime? True Suppose 37*h - 38*h - 78559 = -2*t, 2*t - 78556 = 2*h. Is t a composite number? True Suppose 4*y = 4*k + k - 9, -4*y - 5*k = -41. Let n be 54/10 + 2/(-5). Suppose 0 = o + o - n*c - 758, c = y*o - 1552. Is o composite? False Suppose -4 = r, w = -4*r - 2751 + 10908. Is w a composite number? True Is ((-5)/(-5) + 1200)/(29/4031) a prime number? False Suppose 5*n = -2*w + 42501, 5*w = -404*n + 402*n + 16992. Is n prime? True Let p = 80784 + -40279. Suppose -25568 - p = -7*v. Is v a composite number? False Let s(j) = -j**3 - 9*j**2 + 2. Suppose 5*b - 9 = 11, 2*k + 2*b + 10 = 0. Let t be s(k). Is (5 - -74)*(t + (-2)/2) prime? True Suppose -2*p + 2 = -4, 0 = 5*h + 4*p + 58. Let n be 1 + -1 + 1190/h. Let r = n - -831. Is r a composite number? True Suppose -5*p = -3*o - 10, 2*o = -3*o. Let b(i) = 14*i**3 - i**2 - 2*i + 5. Is b(p) a composite number? False Let r be (12/15)/(8/20). Let b be 16/12 + ((-16)/(-6) - r). Suppose -w - 18117 = b*s - 6*s, -2*w - 2 = 0. Is s a prime number? False Let f = -126 + 128. Suppose -f*l - 976 = 3*o - 7685, 4*l = -4*o + 13424. Is l a prime number? True Suppose -5*y + 53 + 157 = 0. Let b = 44 - y. Suppose 2*g - 2452 = -b*g. Is g composite? False Suppose 91480 + 9330 = 9*h - 3689. Is h a composite number? True Let n(o) = 5*o + 18. Let d(v) = -4*v - 17. Let z(a) = -4*d(a) - 3*n(a). Let j be z(-10). Suppose -j*t + 337 + 371 = 0. Is t a prime number? False Let l be ((4/(-3))/2)/((-1)/6). Suppose 5*z - 16023 = -0*j + 2*j, -l*j - 3219 = -z. Is z a composite number? False Suppose 5*u - 15 = -5*c, 2*u + 8*c - 6 = 10*c. Suppose 0 = 5*a - u*z - 6831 - 40510, 2*z = -4*a + 37864. Is a a composite number? False Let a(h) = -h**3 + 35*h**2 + 60*h - 379. Is a(33) composite? False Let q be (-1 - 2)*(-2 + (-32)/12). Is -1090*q/(-7) - 1 composite? False Let t(b) = -b**2 - 2*b + 86. Let g be t(0). Suppose -2*o - 2*n = -0*o - 42, 0 = 4*o + 5*n - g. Let a(y) = 3*y**2 + 63*y - 17. Is a(o) composite? True Suppose -3*g + 17 = 2. Suppose -2*x = -s - g*x, 2*x + 2 = 0. Suppose 0 = -w + s*w - 502. Is w a prime number? True Let f(a) = 12*a**2 + 33*a + 127. Is f(-24) prime? True Suppose 378*g - 167204 + 273287 - 2033505 = 0. Is g prime? True Let a(i) = 2*i**3 + 17*i**2 - 51*i - 101. Is a(18) a prime number? False Suppose 4*f = -114 - 218. Let m = 418 + f. Suppose 7*d - 2*d - m = 0. Is d a composite number? False Suppose 6*x - 114617 = -4547. Suppose x = 23*d - 39914. Is d a composite number? True Let s = 320485 - 69522. Is s prime? True Let h(l) = 11640*l**2 - 37*l - 75. Is h(-2) a composite number? False Let i = -1299 - -641. Let r = 1921 - i. Is r a prime number? True Let o(z) = 2*z**3 - 182*z**2 + 261*z + 122. Is o(93) prime? True Let a(l) be the second derivative of -415*l**3/6 + 8*l**2 + 23*l. Let s be a(8). Is (-2)/8 - s/32 a composite number? False Let i = 106199 - -208316. Is i a prime number? False Let n be (-795771)/108*(-22 - 2). Suppose 0 = -2*l + 8*l - n. Is l a composite number? False Is 15 + (-152)/10 - 22684155/(-25) composite? True Suppose 5*z + 0*z - 8450 = 0. Suppose 16070 - z = 4*c. Is c a composite number? True Let j = 514 - 512. Suppose -5*a = 2*r - 336 - 269, -3*a = j*r - 599. Is r a composite number? True Suppose -3*d - 5 + 62 = 0. Suppose -40622 = -d*f + 11457. Is f prime? True Let w = 1280880 - 741323. Is w a composite number? True Let z(m) = -31*m**3 - 5*m**2 + 17. Let p(q) = -6*q**2 - 641 + 2*q + 643 + 2*q**2. Let l be p(-1). Is z(l) a prime number? False Let h(i) = -68*i - 7. Let v(a) = -21*a + 1. Let u(z) = h(z) + 4*v(z). Suppose 0 = 4*t + 2*x + 74, -t - 2*x - 12 = 2. Is u(t) composite? False Let p(k) = -k**3 + 10*k**2 + 3*k - 24. Let r be p(10). Suppose 15*h - r = 9*h. Is 1 - -338*4*(1 + h) composite? True Suppose 2*g = -4*f + 11370, -4*g - 3*f + 1783 = -20932. Suppose 6*u - 8*u = -2, 3*u = -4*w + g. Is w a composite number? True Let y be (-4)/(-16) + (220/16)/5. Suppose 2*i + 6570 = 3*l, -y*l + 6104 = 2*i - 478. Is l/6 - (2 - 15/9) a composite number? True Let q = -166847 - -390570. Is q composite? True Let n = 46064 + -26229. Is n prime? False Let q(m) = 4672*m**2 - 74*m + 359. Is q(5) composite? False Let u be ((-24)/(-16)*(-14610)/(-9))/1. Suppose -w - u = -m - 343, -5*w = -15. Is m prime? False Let u(l) = -l**3 - 11*l**2 - 2*l - 27. Let z be u(-11). Let n(h) = 3*h**3 + 3*h**2 - 3*h - 7. Let m be n(z). Let k = 455 + m. Is k a prime number? True Suppose -26*i = -24*i + f - 119372, -238714 = -4*i - 7*f. Is i a composite number? True Let s(f) = -80982*f**3 + 312*f**2 + 5*f + 5. Is s(-2) composite? True Let x(i) = 635*i**2 + 3*i - 1. Let w(f) = -636*f**2 - 4*f + 1. Let p(z) = 5*w(z) + 6*x(z). Suppose 0 = 5*g - 25, 5*t - 2*t = 2*g - 13. Is p(t) a prime number? True Let u(j) = 155*j**2 - 57*j + 197. Is u(-30) composite? True Let w = 1430 + -1355. Suppose -2*r + 6*r = 5684. Suppose 8*q - r - w = 0. Is q prime? False Is ((-24)/(-6))/(144/6814980) a composite number? True Suppose -4*n + 6 = -4*s - 30, 5*n = -4*s + 45. Suppose n = -y + 2*q, -4*q = 14 - 34. Suppose -z = -y, 3*z - 652 = -3*h + 9014. Is h composite? False Let v(p) = 237*p**2 + 133*p - 5. Is v(7) a prime number? True Suppose -g - 545241 = -5*l - 0*g, g = 4. Is l a composite number? False Let h(w) be the third derivative of 797*w**4/8 + w**3/6 + 2*w**2 + 14. Is h(2) a composite number? False Suppose 2*i - 7 = 3. Let o(a) = 4*a**2 - 5*a - 10. Let v be o(i). Suppose 0 = -j + 129 + v. Is j prime? False Let g = 487 + -484. Suppose g*t - 1485 = 1092. Is t a composite number? False Is (-3 - -4)*(3 + -123*(-1360)/30) composite? True Suppose -11*y - 125 = -1830. Suppose -n + 100 = -5*w - y, -w - 60 = -2*n. Is (718/(-10))/(10/w) a prime number? True Suppose -2*c + 0*l + 6 = 2*l, c + 5*l - 23 = 0. Let i be (-29104)/(-12) + (-11)/264*8. Is i + 2 - 0 - c a composite number? True Let b be (-1)/3*(4 + -82). Suppose -b*z - 39172 = -30*z. Is z a prime number? False Let u = -85936 + 179331. Is u prime? False Let k be 2*35/14 + 0/(-1). Suppose -k*x + 13727 = -2*o, 3*x - 5923 - 2334 = -4*o. Is x a composite number? True Let q be 3*8/(-12)*6/(-2). Suppose -q*m - 80075 = -11*m. Is m a prime number? False Suppose 2*j + 488 + 44 = 0. Let h(d) = 24*d**2 + 8*d - 1. Let n be h(-5). Let v = n + j. Is v a composite number? False Suppose -1 = -2*r - 4*i - 53, -4*i = -2*r - 76. Is 24/r - (-25199)/4 composite? False Suppose -735 = 5*k - 760. Suppose k*n = 17*n - 190812. Is n prime? True Suppose -3*o + 0*k = -4*k - 277950, -4*k = -5*o + 463258. Is o a prime number? False Let z = 366 - 366. Suppose z = -5*y - 19 - 6, -3*q = -y - 18098. Is q a composite number? True Let z = 151852 + 62751. Is z a composite number? False Let c be (-2620)/40 + (-1)/2. Let g = -75 - c. Is g/(-36) - (-80
{ "pile_set_name": "DM Mathematics" }
a composite number? True Let h(o) = 3*o**3 + 18*o**2 - 218*o - 37. Is h(26) a composite number? True Suppose 0 = -2*m + p + 14, 3*m - p + 4*p = 12. Let d be m/(-4) - (-7854)/28. Suppose r - 167 = d. Is r composite? True Suppose 3*b - 179413 = 50*u - 55*u, -71750 = -2*u - 5*b. Is u prime? False Let z = -41442 + 74801. Is z a composite number? False Let y(k) = 1171*k - 8260. Is y(67) a composite number? True Suppose 3380078 + 2959744 + 8313232 = 122*a. Is a a composite number? True Let z be ((4 - 3)*4)/((-1)/704). Let u = -1735 - z. Is u a composite number? True Let g = 1081861 - -269484. Is g a prime number? False Is 671745 - (-9 - (-5)/35*7) a prime number? True Suppose 42*y - 144659 - 4897063 = 0. Is y a composite number? False Suppose -2*v = u - 866663 - 108857, 2*v - 5*u = 975556. Is v a prime number? False Let x(y) = 10992*y**2 + 68*y + 379. Is x(-7) composite? False Let l be (-1)/(-4) - (-222)/8. Let k(r) = -21*r**2 + 23*r + 160. Let o be k(12). Is ((35/l)/(-5))/(1/o) a prime number? True Let l = -135 - -138. Suppose -l*f - 10*c + 71984 = -9*c, 0 = -2*c - 2. Is f prime? False Suppose 10*m - 9*m = -20. Let i = 427 + m. Is i prime? False Let o = 41 + -36. Suppose q - 2*b + 2 = 0, -14 = -q + 2*q - o*b. Is q/8 + (2 - 531/(-12)) prime? True Let x = 2460 - 1149. Suppose -x = 2*k - 6905. Is k a composite number? False Let c be (-21 - 2084324/(-330)) + -1 + (-26)/(-30). Let o be (-22)/(-5) - 4/10. Suppose -l - o*l = -c. Is l a prime number? True Let v be 2*(-36)/8 + 3 + -2. Let t be (0 + (v - -4 - -4))*-1. Suppose -5*y + 4*x + 33361 = t, 0 = 2*y - 7*y - 5*x + 33370. Is y a prime number? True Let o(c) = c + 14. Let q be o(0). Let z(g) = 353*g - 69. Is z(q) a prime number? False Let q be (-18)/(-9 - -3)*1. Suppose -12797 = 2*c - q*c + 3*t, -12787 = -c - 2*t. Is c composite? False Let u(n) = 3*n**3 + 4*n**2 - 4*n + 8. Let a be u(-4). Let s = 113 + a. Let w(o) = 3*o**3 - 8*o**2 + 4*o - 4. Is w(s) composite? False Let v = -37 - -60. Let h = 26 - v. Suppose h*i + 3*i = 3498. Is i a composite number? True Let s = 2666 - 4556. Let v(x) = -468*x**3 + 3*x**2 + x - 3. Let k be v(-2). Let l = k + s. Is l composite? False Let a = -11315 - -16632. Let y = -2540 + a. Is y a prime number? True Let r = -229 - -231. Suppose -1075 = r*f - 11337. Is f composite? True Let g(l) = 10*l**3 - 4*l**2 + l - 4. Let m be g(3). Suppose 0 = 15*q + 589 + 1316. Let u = q + m. Is u a composite number? True Let p(t) = 3 - 1 + 3 + 9*t**2 - 3 - 16*t. Let h(s) = -5*s**2 + 8*s - 1. Let i(z) = 5*h(z) + 3*p(z). Is i(9) a composite number? True Suppose 2*j = -131*i + 133*i - 324682, -8 = -4*j. Is i prime? True Suppose -32*d - 351003 = -4*v - 27*d, 4*d - 263291 = -3*v. Is v prime? False Let j(m) = m**3 - 9*m**2 - 12*m + 24. Let o be j(10). Suppose 36 = 2*n + o*x, -4*x = -5*n - 5*x + 72. Suppose -16*i + n*i + 422 = 0. Is i a composite number? False Suppose 2*s = 5*h - 10, 4*s - 6 = -3*h - 0*h. Suppose -8 = -h*i - 0*f - 2*f, 3 = 2*i - 3*f. Is 95 - (-8)/(-12)*i composite? True Let p(m) = -m**3 - 6*m**2 + 13*m - 1. Let b(r) = 13*r - 18. Let l be b(2). Suppose 5*d - 2*q = -80, l*q = 5*d + 4*q + 90. Is p(d) prime? False Let g be (-2)/12*(-501 - 33). Suppose 84*w + 11285 = g*w. Is w composite? True Suppose 4*n + 3*p - 29340 = 0, -n - p - 2*p + 7326 = 0. Let g = n + 43234. Is g/36 - 2/(-9) a composite number? True Let w(p) = p**2 + 25*p + 39. Let t be w(-19). Let h = t + 82. Suppose -h*u + 925 = -321. Is u a composite number? True Suppose -9 = -3*r, -4*t = 19*r - 18*r - 16255. Let o = t - 1512. Is o prime? True Suppose 11*v + 1790 = 64380. Is 1*v/((-5)/(-1)) - 0 a prime number? False Suppose -3*b - 5*b = -16. Suppose 0 = a + 4*a - 4*x - 2558, -b*a - 5*x = -1043. Let d = a - 21. Is d composite? True Suppose 18*l = 179664 + 2104842. Is l a composite number? True Let s(g) = 15736*g - 1521. Is s(4) prime? False Let b(y) = 40550*y**2 + 78*y + 9. Is b(5) a prime number? True Let h(x) = x**3 + 34*x**2 - 34*x + 6. Let p(r) = -r**3 - 15*r**2 + r - 16. Let k be p(-15). Is h(k) a prime number? True Let p = 1313 + -7795. Is (-2 - p - -3)/((-66)/(-44)) a prime number? False Suppose 0 = -25*d - 31*d + 168. Suppose -d*f + 64019 = 2498. Is f a composite number? False Let j = 8663 + 55098. Is j prime? True Let p(b) = 3*b - 25. Let f be p(5). Let r be 24/f*20/3. Is r/48 - 7544/(-6) a composite number? True Let u(z) = -79*z**3 - 8*z**2 - 6*z + 50. Is u(-9) composite? False Suppose -195*l + 189*l = -96. Suppose -l*m + 17387 = -66981. Is m composite? False Is ((-3)/(-4))/(135/24274260) a prime number? True Let w(m) = m**3 + 3*m**2 - 13*m + 6. Let c be w(-6). Let u = 4469 - c. Is u composite? False Let w be 0 + -6 + 8 + 6807. Suppose -12*t + 7*t + w = -b, 5*t - 5*b = 6825. Is t a prime number? True Let m be 2/17 + (-50076)/(-51). Suppose -5*g + 3*y = -0*y - 4826, g = -5*y + m. Is g a composite number? False Let d(l) = 270*l**2 - 25*l - 59. Is d(18) a composite number? True Let l be (-1192)/64*-26*4/(-1). Let f = l - -8204. Is f composite? True Let z be 30/14 + (-8)/56*1. Suppose z*b + 17*b - 11039 = 0. Is b composite? True Is (-127105545)/(-888) + 2/16 composite? False Is (38299/(-5) + -3)/((-7)/(490/28)) prime? True Suppose 157447 = 89*f - 85*f - 142869. Is f prime? True Suppose 171 = -43*x + 558. Suppose -10*k + 20431 = -x*k. Is k composite? False Let s be 31 + 6/2*-1. Suppose -5*q + 628 = s. Let u = 1241 + q. Is u composite? False Let h = -622 - -232. Let o = 1331 + h. Is o a composite number? False Let l = -27 - -25. Let k be ((5 - -31)/l)/(2/(-1)). Is (-6 + (k - 4))/(1/(-149)) composite? False Is (20/16*2)/(100/5139560) composite? False Suppose 0 = -13*t - 8 + 47. Suppose -t*g - 5*o = -27727, -3*g + 23951 = 3*o - 3772. Is g a prime number? True Let r = 2670808 - 1448057. Is r prime? True Suppose 0 = -l + 2*u + 28, -l + 12 = 5*u - 44. Suppose 21623 = 43*t - l*t. Is t composite? False Suppose 0 = -5*x - 5664 + 38244. Suppose 4*y - x - 496 = 0. Is y prime? True Suppose -12803 + 3146 = -9*c. Suppose -10*t + 9*t + c = 0. Is t composite? True Let h = -422 - -428. Suppose f - h*f = -u + 163, -3*u + 471 = 3*f. Is u prime? False Let q = 129 + -125. Suppose q*f - 6*f + 2044 = 0. Let d = -577 + f. Is d a prime number? False Suppose -8*m = 4*y - 6*m - 42632, 10637 = y + 4*m. Is y a composite number? True Let p = 154 - 131. Suppose -p*d + 51593 = -58140. Is d prime? False Is 8 - (-23)/69*(-502569)/(-3) composite? False Suppose 4*s = b - 75219, -s + 39991 = b - 35203. Is b a prime number? False Let l = 405 + -616. Let q = -32 - l. Is q a composite number? False Let h be 2/(-8) - (-5 + 4298/(-8)). Let b = 5115 + h. Suppose -7*p = -b + 1702. Is p a prime number? False Suppose 3*t = -w - 37709, -4*w - 16721 - 20994 = 3*t. Let y = 18390 - t. Is y a prime number? False Let l = 30 - 28. Let c be 6188 + (-8)/(l - -2). Suppose 8*f = -1138 + c. Is f a composite number? False Suppose -5*t + 4*q + 184453 = 37164, -4*t = 5*q - 117782. Is t composite? False Suppose 15*d + 29 = -u + 17*d, 2*d = -4*u - 106. Let q(v) = -25*v - 56. Is q(u) composite? False Let s(r) = -3*r**2 + 2*r - 7. Let l be s(-2). Let h(b) = -35*b - 26. Is h(l) a prime number? False Is 2/(-21) + (208396488/504 - -4) a composite number? True Suppose 1828712 + 92426 = 4*z + 2*u, 4*z + 3*u - 1921133 = 0. Is z composite? False Let p = 9 + -5. Let q be (-2)/(-3) + (70/21 - 1). Suppose 0*v + 5*v - 645 = -p*f, 0 = q*f - 5*v - 440. Is f a prime number? False Let f(o) = -6*o**3 - 144*o**2 + 171*o + 196. Let v(w) = w**3 + 29*w**2 - 34*w - 39. Suppose -4 = 6*n - 70. Let u(q) = n*v(q) + 2*f(q). Is u(16) a prime number? False Suppose 3*h - 20958 = -h - 2*h. Is h a composite number? True Let k(b) = 3*b**3 - b**2 - 13*b - 19. Let y be k(-7). Let g = 1447 - y. Is g a prime number? False Let s(y) = 2234*y**2 - 19*y - 189. Is s(-8) prime? True Let y = -127 + 122. Is y - (-2965)/5 - -1 a composite number? True Let f(o) = 439*o + 1919. Is f(2) prime? True Suppose -4*n = 4*f - 36, 0 = n + 6*f - 4*f - 6. Suppose -6*r = -n*r + 61338. Is r a prime number? True Let u(h) = 1241*h**2 + 4*h + 106. Let y be u(9). Let n = y - 60056. Is n composite? True Let t be (6 - 2) + 0 + -1. Suppose -25*w - t = -28*w. Is (-4 - -8*w) + 1411 composite? True Let b(g) = 4*g**3 + 28*g - 22*g**3 + 3*g**2 + 4*g**3 -
{ "pile_set_name": "DM Mathematics" }