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*z**3 + 5*z**2 + 2. Let g be f(10). Round g to the nearest one million. -7000000 Let v(x) = -x - 2. Suppose 20 = -9*k + 4*k. Let n be v(k). Let f be (-4)/n - 309997 - 1. What is f rounded to the nearest 100000? -300000 Let x(t) = t**3 - 2*t**2 + 2*t - 2. Let m be x(2). Let k(i) = -4*i + 2*i - 9*i**m + 0*i - 3*i. Let p be k(-5). Round p to the nearest 1000. 0 Let t = -16 - -15.9. Let q = 0.1000056 + t. Round q to 6 dps. 0.000006 Let c = 18745857.9999997 - 18745854. Let p = c + -4. What is p rounded to 6 decimal places? 0 Let s = 0.8 - 0.66. Let p = s + -0.52. Round p to one decimal place. -0.4 Let y be (-99992)/(-20) - (-2)/5. What is y rounded to the nearest 10000? 10000 Let s = 50 - 49.914. Round s to 2 decimal places. 0.09 Let i = -1445 + 1445.0000867. What is i rounded to five decimal places? 0.00009 Let b(v) = -55*v + 15. Let x be b(9). What is x rounded to the nearest 100? -500 Let s = 0.08 + -37.08. Let v = -36.9903 - s. Round v to three dps. 0.01 Let z = 12 - 21. Let s = -17507271.000007 - -17507280. Let l = s + z. What is l rounded to 6 decimal places? -0.000007 Let y = -7.8 - -7. Let d = y - -0.15. What is d rounded to 1 dp? -0.7 Let g be (-4 + 3)*(62 - 1) + 2. What is g rounded to the nearest 10? -60 Let m(k) = 55*k**3 + 3*k**2 - 6*k + 1. Let z be m(6). Let b = z + -2453. What is b rounded to the nearest one thousand? 10000 Let s = -62 + 61.854. Round s to 2 dps. -0.15 Let b = -16 + 31. Let v = 14610486.999942 + -14610472. Let u = v - b. What is u rounded to 5 dps? -0.00006 Let u = 5.58 - 5. What is u rounded to 1 decimal place? 0.6 Let b = 398 + -166. Let s = -718.745 - -486.838. Let d = s + b. What is d rounded to 2 decimal places? 0.09 Let f = -163 + 159.51. What is f rounded to zero dps? -3 Let o = -7615.468 - -7634. Let r = -0.032 + o. Let l = 26 - r. Round l to the nearest integer. 8 Let q be (-2 - -28)*(-2)/(-4). Let s = 504 - q. Suppose w - 7409 = s. What is w rounded to the nearest one thousand? 8000 Let r = -217.0163 + 217. Round r to three decimal places. -0.016 Let x(f) = -f**2 + 9*f + 13. Let m = -14 + 24. Let t be x(m). Suppose 3*q + q + 2 = -t*o, 32 = 2*o - 4*q. Round o to the nearest integer. 6 Let a(v) be the third derivative of -16801*v**4/24 + 5*v**3/6 - 2*v**2. Let h be a(5). Round h to the nearest ten thousand. -80000 Let t = 3.93 + -4. What is t rounded to 2 dps? -0.07 Let a be ((-9800)/12)/((-1)/(-12)). Round a to the nearest one thousand. -10000 Let u = -325.99734 + 326. What is u rounded to three decimal places? 0.003 Let z be (-2)/6 - 30780003/(-9). Round z to the nearest one hundred thousand. 3400000 Let t = -0.669 + 0.6. Round t to 2 dps. -0.07 Let y = -194289 + -360601. Let d = -554913.20109 - y. Let q = 23.2 + d. Round q to 4 dps. -0.0011 Let m = -12 - -18. Let i = -6.36 + 12.34. Let q = m - i. Round q to one decimal place. 0 Let n = -0.24 + 1.34. Let m = n + -1.35. What is m rounded to 1 dp? -0.3 Suppose -49833 - 187467 = -3*n. Round n to the nearest 10000. 80000 Let b = -17.85 + -0.15. Let r = -12599.893 + 12617.8929956. Let u = r + b. Round u to six decimal places. -0.000004 Let l be (2 - 2) + -1 + 4. Let i(h) = -1 - l - 13*h + 0. Let q be i(-3). Round q to the nearest 10. 40 Let w(q) = 263*q**3 + q**2. Let f be w(5). What is f rounded to the nearest 10000? 30000 Let o(u) = -5*u + 3. Let f be o(2). Let p = 7 + f. Suppose a = -p*a - 140. Round a to the nearest 100. -100 Let d(x) = 3*x - 1. Let w be d(2). Suppose 0 = -2*h + 4*h - 2. Suppose 5*k = -3*i + 839990, -3*k - h = w. What is i rounded to the nearest 100000? 300000 Let s = 0.05 + -0.03. Let f = s - 6.52. Let z = 6.50059 + f. What is z rounded to four decimal places? 0.0006 Let l = -363.272 - 2674.398. Let v = l - -2986. Let f = 51 + v. What is f rounded to 1 decimal place? -0.7 Suppose 5 - 2 = -3*u. Let i be (-26*(0 + 1))/u. Round i to the nearest ten. 30 Let x be 3549999 + -2 - 3/(-1). Suppose d - 6*d + x = 0. Round d to the nearest 100000. 700000 Suppose l + 2*k = 3029992, 8*k = 3*l + 3*k - 9090020. What is l rounded to the nearest 100000? 3000000 Suppose 0 = 2*c + 2*k - 15314634, 4*c + 2*k - 30629266 = -k. Let q = c + -14557315. Round q to the nearest 1000000. -7000000 Let x = -997.78853 - -940.7883. Let n = -107 - -164. Let p = x + n. Round p to four dps. -0.0002 Let y = 4.863 + 2391.137. Let u = -2549.3 + y. Let c = -161 - u. What is c rounded to the nearest integer? -8 Let r = 1.34 - 1.2. Let k = r - 1.89. Let d = -2 - k. What is d rounded to 1 decimal place? -0.3 Let t(l) = -3*l + 13. Let r be t(9). Let m be (360/(-14))/((-2)/r). What is m rounded to the nearest ten? -180 Let n = 35 + -35.0042. Round n to 3 decimal places. -0.004 Let y(b) = b**2 + 12*b + 7. Let q be y(11). Let g be 2*q*15000/6. What is g rounded to the nearest 1000000? 1000000 Let f = 16.7 - -1.4. Round f to 0 decimal places. 18 Let b be 3/(-12) - (-25)/4. Let y(r) = -1305*r**2 - 1 - 3*r + 1 - 2. Let g be y(b). Round g to the nearest 10000. -50000 Let h be 59*(-4 + 3008 + -4). What is h rounded to the nearest 10000? 180000 Let a = 5.8 - 8.5. Let t = a - -2.70000088. What is t rounded to 7 decimal places? 0.0000009 Let h = -6.0839 - -7.083925. Let w = 0.91 - -0.09. Let c = w - h. What is c rounded to five decimal places? -0.00003 Let y = 9.9878 - 10. What is y rounded to three decimal places? -0.012 Let g = -2912151.8099907 - -2912152. Let s = g - 0.19. Round s to 6 dps. 0.000009 Let b = -0.96231 - -0.9223. Let j = -0.04 - b. Round j to five dps. 0.00001 Let c = 16.0000083 - 16. What is c rounded to 6 dps? 0.000008 Let p = -5 - -5.4. Let n = p + -3.6. What is n rounded to the nearest integer? -3 Let o = 3.182 + -3.74. What is o rounded to one dp? -0.6 Let x be 112/49 - (-4)/(-14). Suppose -4*h = 3*y + 18800, -x*h = y + 13541 - 4141. What is h rounded to the nearest one thousand? -5000 Let l = -1506 - -3556. What is l rounded to the nearest 100? 2100 Let w = 0.932764 - 42.933944. Let m = -42 - w. What is m rounded to 4 dps? 0.0012 Let x(n) = 17038*n**3 - 2*n**2 - 3*n + 1. Let q be x(3). Round q to the nearest 100000. 500000 Let y = -2.8752496 + -0.22474988. Let b = -3.1 - y. What is b rounded to 7 decimal places? -0.0000005 Let n(q) = -4249*q - 16. Let a be n(16). Round a to the nearest 10000. -70000 Let k = 3993181.800023 + -3993162.8. Let y = -19 + k. What is y rounded to 5 dps? 0.00002 Let t = -109 + 122.5. Round t to zero decimal places. 14 Suppose 0 = -5*c + 106 + 74. Suppose 0*u = u + c. What is u rounded to the nearest ten? -40 Let r = 1.99 - -0.01. Let g = r + -8. Let m = g + 2.4. Round m to the nearest integer. -4 Let n = -23.4 + 23.39999323. Round n to six decimal places. -0.000007 Let y = 275.87 + -271. Round y to one decimal place. 4.9 Suppose -3*t + 80 = t. Let b be t/(-4)*(-376)/10. Let a = 1118 - b. What is a rounded to the nearest one hundred? 900 Let a = -0.48 + 0.7. Let i = 0.2 - a. Let b = i - -0.5. What is b rounded to 1 dp? 0.5 Let j = 7.6999805 - 7.7. What is j rounded to six dps? -0.00002 Suppose 0*n + 21 = -3*h + 3*n, 5*n = -25. Let x be h/10 - (-2)/10. Let d be -2113 - (x + -2 + 0). What is d rounded to the nearest one hundred? -2100 Let b = -294313359746600.02 + 294315435273480.0199957. Let n = 2075526985 - b. Let d = n - 105. Round d to six decimal places. 0.000004 Let w = 32.2618 - 32.2. Let m = 26.0422 + w. Let y = -26 + m. What is y rounded to 2 dps? 0.1 Let f = 0.0151 - 0.0151241. Round f to 6 decimal places. -0.000024 Let d = -0.07 + 0.15. Let i = 2.11 - 2.1904. Let c = i + d. Round c to four dps. -0.0004 Let z = -315.25 + 287.283. Let w = -28 - z. Let y = 0.493 + w. Round y to 1 decimal place. 0.5 Let a = -0.39 - -3.79. Let o = 8 - 14. Let i = o + a. Round i to the nearest integer. -3 Let d be 4/(-16) - 1/(-4). Suppose -3*g - 3*y - 39123 = -d*y, 5*g + 65178 = 4*y. Let f = 40962 - g. What is f rounded to the nearest 10000? 50000 Let k(f) = -f**3 - 6*f**2 - 19*f - 14. Let d be k(-9). Round d to the nearest ten. 400 Let a = 6 - 11. Let y = a + 5.00015. Round y to four dps. 0.0002 Let x = 11 - 10.2. Let v = 0.81 - x. What is v rounded to three decimal places? 0.01 Let b = -0.09 + -15.91. Let y = -15.964 - b. Round y to two dps. 0.04 Let i(y) = 2*y**3 - 2*y**2 + 2. Let o(s) = -s**3 + s**2. Let a(x) = i(x) + 3*o(x). Let z be a(2). Round z to t
{ "pile_set_name": "DM Mathematics" }
h**2*i + 4*h*i**2 + 3*h*i - 1015 wrt h? -42*i**2 + 1232*i What is the third derivative of -3*k**3*t**3 + 2*k**3*t**2 - 31*k**3 - 72*k**2*t**3 + 41*k**2*t**2 + 5*t**3 + 3*t wrt t? -18*k**3 - 432*k**2 + 30 What is the first derivative of 41*b*o + 17*b + 30085*o wrt b? 41*o + 17 What is the derivative of -36035*b - 7357 wrt b? -36035 What is the third derivative of 3*h**3*o*u - h**3*o - 135439*h**3 - 3*h**2*o - 3*h**2 - 2*h*o*u - o*u + 6*o - 335 wrt h? 18*o*u - 6*o - 812634 What is the derivative of 1175*h*k**2 - 2*h + 15*k - 24892 wrt k? 2350*h*k + 15 What is the second derivative of 3538644*j**3 + 2874192*j wrt j? 21231864*j What is the derivative of -24658*a**2 - 29*a + 4578798? -49316*a - 29 Find the third derivative of 250647*s**3 + 59236*s**2 - s + 1 wrt s. 1503882 What is the first derivative of -12*w**4 + 4*w**2 - 55*w - 63073? -48*w**3 + 8*w - 55 What is the third derivative of 5*a**3*r**3 - 5*a**3*r**2 + 88*a**3*r - 789*a**2 + 2*a*r**3 - 2*a*r**2 + a wrt a? 30*r**3 - 30*r**2 + 528*r Find the first derivative of -3*m**2*n**3 + 6430*m**2*n + 10*m**2 - 2*m + 232 wrt n. -9*m**2*n**2 + 6430*m**2 Differentiate 1560618*c**2*g**3 - 54197*c**2 - c + 2 wrt g. 4681854*c**2*g**2 Find the second derivative of -550146*m**4 + 2876807*m. -6601752*m**2 What is the third derivative of -46596*g**6 - 2475*g**2 - 15*g wrt g? -5591520*g**3 Differentiate -11*j**3*w - 4*j**3 + 3*j**2*y - 26*j*w + 53*j*y - 2*j + 4*w*y with respect to w. -11*j**3 - 26*j + 4*y Find the third derivative of 2*b**3*l**3 + 2*b**3*l**2 + 78*b**3*l + 3*b**2*l**3 + b**2*l**2 + b**2 - 2*b*l**3 + 153*b*l**2 - 3*l**3 wrt l. 12*b**3 + 18*b**2 - 12*b - 18 Find the second derivative of 91*a**3*g**3 - 4*a**3*g + 229*g**4 - 23566*g wrt g. 546*a**3*g + 2748*g**2 What is the second derivative of -266251*i**2 + 626649*i + 2 wrt i? -532502 Find the first derivative of 25613*f*o + 4*f + 2*o - 5419 wrt o. 25613*f + 2 What is the third derivative of 346937*v**3*w**3 + 2*v**2*w**3 - v**2*w + v*w**3 + 1438*v - 33*w**3 wrt v? 2081622*w**3 What is the third derivative of -26360*w**5 - 99358*w**2? -1581600*w**2 Find the second derivative of 391862*h**2 + 171*h - 1899. 783724 Find the second derivative of b**3*k**2 - 5*b**3*k + 151*b**2*k + 2*b*k + b + 1460025*k**2 - 3 wrt k. 2*b**3 + 2920050 Find the third derivative of -46816*s**6 + 275613*s**2 wrt s. -5617920*s**3 What is the first derivative of -140417*j**3 - 94760? -421251*j**2 What is the third derivative of -275*g**6*s*u + 73*g**3*u**2 + 3*g**2*s*u - 28*g**2*u - g*s*u**2 - s - 12*u**2 wrt g? -33000*g**3*s*u + 438*u**2 What is the first derivative of 110944*n**4 + 827381? 443776*n**3 Find the second derivative of -31823*q**4 - 2*q + 2438. -381876*q**2 What is the second derivative of -50*b**2*j + 5*b**2 - 2*b*j + 9*b + 1127 wrt b? -100*j + 10 What is the second derivative of -1079*r**2*v**5 + 181*r**2*v**3 - r**2*v - 140*r**2 + 4*r*v - 26*v + 6 wrt v? -21580*r**2*v**3 + 1086*r**2*v Find the second derivative of 23*n**4 + 1890*n**2 - 365362*n. 276*n**2 + 3780 Find the second derivative of 60544*t**4 - t**2 + 253679*t wrt t. 726528*t**2 - 2 What is the second derivative of 1848933*s**5 + 2002953*s wrt s? 36978660*s**3 Find the first derivative of -12386*a**3*q + a**3 - 4574*a**2 - 2*a wrt q. -12386*a**3 What is the third derivative of -12*a**6 + 416*a**4 - 119988*a**2 wrt a? -1440*a**3 + 9984*a Find the third derivative of 74888*f**4 + 54*f**2 + 24*f + 1 wrt f. 1797312*f Differentiate -17117*t**2*x*y - 36*t**2*x - 54*t**2 + 7*t*x*y - 6*t*x + t - 2*x - y with respect to y. -17117*t**2*x + 7*t*x - 1 Find the second derivative of 71493*a**2 + a + 330 wrt a. 142986 What is the third derivative of 1157*d**2*x**3 + d**2*x**2 + 136*d**2 + 1969*d*x**3 + 4*d*x**2 + 515*x**2 + 2 wrt x? 6942*d**2 + 11814*d Differentiate 10*f**3*i*w*x + 5*f**3*i*x + 5*f**3*x + 4479*f*i*w*x + 1061*f*i*x wrt w. 10*f**3*i*x + 4479*f*i*x Find the second derivative of -k**2*l**2 - 1616750*k**2 - 1465443*k*l**2 + 2*l**2 wrt k. -2*l**2 - 3233500 What is the first derivative of 10*y**4 - 6*y**3 - 64*y**2 + 2*y + 169043 wrt y? 40*y**3 - 18*y**2 - 128*y + 2 Find the second derivative of -2*a**5*s**2 + 75224*a**3*s**3 + 12*a*s + 2940*s**3 wrt a. -40*a**3*s**2 + 451344*a*s**3 What is the third derivative of -43*c**3*d**3*t - 2*c**3*t + 66*c*d**2*t**2 - 2*c*d**2*t - 2651*d**3*t**2 - 829*d*t**2 wrt d? -258*c**3*t - 15906*t**2 Find the second derivative of 60282*b**3 - 78721*b wrt b. 361692*b What is the derivative of -3*q**3 + 15826*q**2 + 4*q - 415389? -9*q**2 + 31652*q + 4 Differentiate 354982*s**4 + 398823 with respect to s. 1419928*s**3 Find the second derivative of 1188*z**5 - 599*z**2 + 1293*z + 271 wrt z. 23760*z**3 - 1198 Find the third derivative of -901*z**6 + 194*z**3 - 2*z**2 - 2*z + 207214. -108120*z**3 + 1164 What is the third derivative of 2*v**4*x**2 - 334*v**4 - 48*v**3*x**2 + v**2*x + 848*v*x - 2*x**2 wrt v? 48*v*x**2 - 8016*v - 288*x**2 Find the first derivative of -108416*c**2 - 128906. -216832*c Find the third derivative of 38*f**6 - 10601*f**3 - 266620*f**2 + 2. 4560*f**3 - 63606 Find the second derivative of 2*k**3*w**3 + 3*k**2*w**3 - 1698*k**2*w - 354*k*w**2 - 76*w**3 wrt k. 12*k*w**3 + 6*w**3 - 3396*w Find the third derivative of 4871*r**3*t**2*u**2 - 5*r**3*t*u**3 + 2*r**3*t - 40033*r**2*t**2*u**3 + 26*t**2*u wrt u. -30*r**3*t - 240198*r**2*t**2 What is the first derivative of -357703*p - 838021? -357703 Find the first derivative of -292220*c**3 - 2449830 wrt c. -876660*c**2 Find the third derivative of 72762*m**3 + 3*m**2 - 4*m - 476 wrt m. 436572 What is the derivative of 62926*o - 36014 wrt o? 62926 Differentiate 10*j**2 - 9*j*x + 729*j - 2041894*x with respect to j. 20*j - 9*x + 729 Differentiate 210240*z - 126355 wrt z. 210240 Find the first derivative of -4*h**3 + 127*h**2 - 64*h + 623840. -12*h**2 + 254*h - 64 Find the first derivative of 56703*b**4 + 62268. 226812*b**3 Differentiate -87058*u + 20606. -87058 What is the first derivative of 86086*a*b - 79045*a - b**2 + 2 wrt b? 86086*a - 2*b What is the second derivative of -x**4 - 246*x**3 + 15*x**2 - 103826*x wrt x? -12*x**2 - 1476*x + 30 What is the second derivative of 839894*h**4 + h**3 - 2*h**2 - 71671*h - 2 wrt h? 10078728*h**2 + 6*h - 4 Differentiate 41782*b + 108255. 41782 What is the first derivative of 3414*b*c*t - 9*b*c - 3*b*t + 3*b + c*t - c + 70*t + 3 wrt c? 3414*b*t - 9*b + t - 1 Find the second derivative of 3*o*r*u**3 - o*r*u**2 - o*r*u + o*u**3 + o*u**2 - o*u + 12*o - 2*r*u - 30*u wrt u. 18*o*r*u - 2*o*r + 6*o*u + 2*o Find the second derivative of 41040*q**2 + 294*q - 221 wrt q. 82080 What is the third derivative of -122*h*j**3*n - h*j**3 + h*j*n - 3*h*n*o**2 - 174*j**3*o**2 - 196*j**2*o**2 + j**2*o - n*o**2 wrt j? -732*h*n - 6*h - 1044*o**2 Find the third derivative of 26286*r**3 - 2*r**2 - 21182*r wrt r. 157716 Find the third derivative of -112749*t**4*x**2 + t**2*x**2 + 63005*t**2 wrt t. -2705976*t*x**2 What is the third derivative of 2806*u**4 + 4*u**3 + 148759*u**2? 67344*u + 24 Find the third derivative of 5244*k**3 - 60333*k**2 - 2 wrt k. 31464 Find the third derivative of -2*p**5 - 1255739*p**4 + 2404948*p**2. -120*p**2 - 30137736*p What is the first derivative of -5*q**2*x + 126242*q**2 - 47818*x wrt x? -5*q**2 - 47818 Find the second derivative of -36*q**4*s**2 + 1117*q**3*s - 2477*q*s - 10*s**2 wrt q. -432*q**2*s**2 + 6702*q*s Find the first derivative of -40042*p - 3103. -40042 What is the second derivative of 540255*q**2 + q + 83719 wrt q? 1080510 Find the third derivative of -15089*a**5 - 2*a**3 + 25271*a**2. -905340*a**2 - 12 What is the third derivative of 2404557*b**3 + 8*b**2 + 11394*b + 1 wrt b? 14427342 Differentiate b**4 - 506542*b**3 - 2203547. 4*b**3 - 1519626*b**2 Find the first derivative of 33496*h*j**2*m**2 - h*j*m**2 + 1874*j**2*m**2 - 12*j**2*m wrt h. 33496*j**2*m**2 - j*m**2 What is the third derivative of -5*d**5 - 29*d**4*v - 13*d**3*v + 2*d**2*v + 64939*d**2 wrt d? -300*d**2 - 696*d*v - 78*v What is the derivative of 2*b**2*x + 13337*b**2 - 2*b*x + 372*x + 703 wrt b? 4*b*x + 26674*b - 2*x What is the third derivative of -24758*j**4 - 95114*j**2 wrt j? -594192*j What is the second derivative of 42366*k**5*p + k**5 - 3*k*p + 2*k - 3306*p wrt k? 847320*k**3*p
{ "pile_set_name": "DM Mathematics" }
PM and 7:56 AM? 587 What is 547 minutes before 4:24 AM? 7:17 PM How many minutes are there between 2:16 AM and 11:28 AM? 552 How many minutes are there between 8:26 AM and 8:08 PM? 702 What is 609 minutes before 9:55 AM? 11:46 PM What is 468 minutes before 6:52 AM? 11:04 PM How many minutes are there between 9:44 PM and 4:52 AM? 428 How many minutes are there between 3:04 PM and 1:01 AM? 597 What is 643 minutes before 7:22 AM? 8:39 PM What is 286 minutes after 9:00 PM? 1:46 AM What is 691 minutes before 2:31 AM? 3:00 PM What is 298 minutes before 8:28 PM? 3:30 PM How many minutes are there between 2:06 AM and 8:51 AM? 405 What is 130 minutes after 7:50 PM? 10:00 PM What is 676 minutes before 6:21 AM? 7:05 PM How many minutes are there between 10:13 PM and 3:57 AM? 344 What is 102 minutes before 11:58 PM? 10:16 PM How many minutes are there between 1:29 AM and 5:25 AM? 236 What is 123 minutes after 8:36 AM? 10:39 AM What is 462 minutes before 3:08 PM? 7:26 AM What is 62 minutes before 3:43 AM? 2:41 AM What is 596 minutes after 7:45 PM? 5:41 AM How many minutes are there between 8:31 PM and 6:18 AM? 587 How many minutes are there between 3:50 AM and 12:18 PM? 508 What is 388 minutes after 8:17 PM? 2:45 AM What is 291 minutes before 11:43 AM? 6:52 AM How many minutes are there between 6:33 PM and 12:40 AM? 367 What is 97 minutes before 11:16 PM? 9:39 PM What is 481 minutes after 11:38 PM? 7:39 AM How many minutes are there between 12:12 AM and 9:45 AM? 573 How many minutes are there between 8:50 PM and 8:18 AM? 688 How many minutes are there between 10:14 PM and 3:38 AM? 324 How many minutes are there between 12:25 AM and 9:09 AM? 524 What is 399 minutes after 7:16 PM? 1:55 AM How many minutes are there between 9:11 AM and 11:18 AM? 127 What is 6 minutes after 1:37 PM? 1:43 PM How many minutes are there between 9:10 PM and 8:50 AM? 700 What is 643 minutes before 1:48 AM? 3:05 PM What is 344 minutes after 2:21 PM? 8:05 PM What is 71 minutes before 9:08 PM? 7:57 PM What is 681 minutes after 7:29 AM? 6:50 PM How many minutes are there between 4:13 PM and 2:05 AM? 592 What is 687 minutes after 10:52 AM? 10:19 PM How many minutes are there between 8:15 PM and 11:05 PM? 170 How many minutes are there between 3:47 PM and 1:38 AM? 591 How many minutes are there between 12:04 AM and 12:57 AM? 53 How many minutes are there between 1:02 PM and 4:59 PM? 237 How many minutes are there between 5:24 AM and 2:16 PM? 532 What is 485 minutes before 3:53 PM? 7:48 AM What is 386 minutes after 6:16 PM? 12:42 AM What is 547 minutes before 6:35 PM? 9:28 AM What is 530 minutes after 2:03 AM? 10:53 AM How many minutes are there between 10:13 PM and 2:39 AM? 266 How many minutes are there between 3:13 PM and 1:22 AM? 609 How many minutes are there between 5:21 PM and 10:04 PM? 283 How many minutes are there between 1:57 PM and 6:09 PM? 252 How many minutes are there between 7:27 AM and 8:02 AM? 35 What is 270 minutes after 12:21 PM? 4:51 PM What is 56 minutes after 12:37 AM? 1:33 AM What is 142 minutes before 8:36 AM? 6:14 AM How many minutes are there between 3:15 PM and 12:57 AM? 582 What is 76 minutes before 11:49 AM? 10:33 AM What is 36 minutes after 11:58 PM? 12:34 AM How many minutes are there between 1:52 PM and 8:46 PM? 414 How many minutes are there between 11:04 AM and 9:14 PM? 610 How many minutes are there between 3:20 AM and 4:19 AM? 59 How many minutes are there between 5:42 PM and 12:21 AM? 399 How many minutes are there between 11:10 AM and 11:58 AM? 48 What is 289 minutes after 10:30 PM? 3:19 AM How many minutes are there between 4:22 AM and 3:09 PM? 647 What is 251 minutes before 2:45 PM? 10:34 AM What is 546 minutes after 12:36 AM? 9:42 AM How many minutes are there between 4:06 AM and 6:01 AM? 115 How many minutes are there between 3:02 PM and 7:00 PM? 238 What is 507 minutes after 11:59 PM? 8:26 AM How many minutes are there between 11:30 AM and 4:52 PM? 322 What is 173 minutes before 10:58 AM? 8:05 AM How many minutes are there between 10:15 AM and 11:18 AM? 63 What is 708 minutes before 7:19 PM? 7:31 AM How many minutes are there between 2:07 PM and 1:37 AM? 690 What is 359 minutes after 8:27 PM? 2:26 AM What is 38 minutes after 1:28 PM? 2:06 PM How many minutes are there between 2:33 PM and 2:16 AM? 703 How many minutes are there between 4:43 PM and 11:52 PM? 429 What is 586 minutes after 1:40 AM? 11:26 AM What is 97 minutes before 10:02 AM? 8:25 AM How many minutes are there between 3:27 PM and 7:18 PM? 231 How many minutes are there between 9:53 AM and 2:44 PM? 291 What is 48 minutes before 4:45 AM? 3:57 AM What is 532 minutes before 10:51 PM? 1:59 PM What is 264 minutes before 5:27 AM? 1:03 AM What is 291 minutes before 4:38 PM? 11:47 AM What is 115 minutes before 9:34 AM? 7:39 AM What is 708 minutes before 8:54 AM? 9:06 PM What is 391 minutes before 9:10 AM? 2:39 AM How many minutes are there between 3:07 PM and 2:16 AM? 669 How many minutes are there between 8:10 AM and 2:41 PM? 391 What is 172 minutes after 4:55 AM? 7:47 AM How many minutes are there between 9:12 PM and 12:35 AM? 203 What is 628 minutes before 6:40 AM? 8:12 PM What is 135 minutes before 1:16 PM? 11:01 AM What is 88 minutes before 1:43 AM? 12:15 AM What is 264 minutes after 11:22 PM? 3:46 AM How many minutes are there between 11:54 PM and 10:25 AM? 631 How many minutes are there between 9:18 PM and 11:57 PM? 159 How many minutes are there between 4:07 PM and 7:30 PM? 203 How many minutes are there between 8:24 PM and 8:26 PM? 2 How many minutes are there between 8:08 PM and 1:50 AM? 342 What is 270 minutes after 5:32 AM? 10:02 AM How many minutes are there between 3:21 PM and 3:01 AM? 700 What is 596 minutes before 3:49 AM? 5:53 PM How many minutes are there between 11:25 PM and 10:40 AM? 675 What is 337 minutes before 10:25 AM? 4:48 AM What is 158 minutes before 7:05 PM? 4:27 PM What is 677 minutes after 12:48 PM? 12:05 AM How many minutes are there between 7:14 PM and 6:59 AM? 705 How many minutes are there between 7:50 AM and 8:30 AM? 40 How many minutes are there between 11:01 AM and 10:31 PM? 690 What is 325 minutes after 12:54 AM? 6:19 AM How many minutes are there between 8:39 AM and 12:06 PM? 207 What is 310 minutes after 9:54 AM? 3:04 PM What is 553 minutes before 9:59 PM? 12:46 PM What is 185 minutes before 5:51 AM? 2:46 AM How many minutes are there between 7:02 AM and 9:41 AM? 159 How many minutes are there between 8:21 AM and 6:41 PM? 620 How many minutes are there between 8:35 AM and 7:44 PM? 669 How many minutes are there between 11:27 AM and 1:46 PM? 139 How many minutes are there between 6:31 AM and 2:23 PM? 472 What is 445 minutes after 4:57 AM? 12:22 PM How many minutes are there between 4:02 AM and 3:46 PM? 704 How many minutes are there between 11:10 AM and 9:26 PM? 616 How many minutes are there between 11:31 PM and 12:23 AM? 52 What is 240 minutes after 5:46 AM? 9:46 AM How many minutes are there between 11:23 PM and 9:09 AM? 586 How many minutes are there between 6:48 PM and 4:34 AM? 586 How many minutes are there between 4:18 AM and 6:57 AM? 159 How many minutes are there between 8:43 PM and 8:02 AM? 679 How many minutes are there between 4:36 PM and 7:47 PM? 191 What is 468 minutes before 8:47 PM? 12:59 PM What is 63 minutes before 3:17 PM? 2:14 PM How many minutes are there between 10:01 PM and 10:52 PM? 51 What is 354 minutes before 5:47 PM? 11:53 AM What is 304 minutes after 12:45 PM? 5:49 PM How many minutes are there between 2:40 PM and 7:55 PM? 315 How many minutes are there between 6:38 PM and 5:21 AM? 643 How many minutes are there between 3:42 AM and 7:57 AM? 255 How many minutes are there between 8:05 AM and 4:51 PM? 526 What is 171 minutes before 4:53 AM? 2:02 AM What is 399 minutes before 10:02 AM? 3:23 AM What is 101 minutes after 7:41 PM? 9:22 PM What is 665 minutes before 7:05 AM? 8:00 PM How many minutes are there between 1:36 AM and 7:13 AM? 337 What is 184 minutes after 10:48 PM? 1:52 AM What is 320 minutes after 2:03 PM? 7:23 PM How many minutes are there between 8:31 AM and 9:13 AM? 42 What is 289 minutes after 4:41 PM? 9:30 PM What is 618 minutes after 7:55 AM? 6:13 PM What is 418 minutes after 10:55 PM? 5:53 AM What is 707 m
{ "pile_set_name": "DM Mathematics" }
10/9? (a) 0 (b) 2 (c) 5959.37 a What is the nearest to -457 in -4, 0.4, -34, -13/4? -34 Which is the nearest to 0.3? (a) -1787 (b) 2 (c) -1/5 (d) -4 (e) 4 c What is the nearest to -1/3 in -4, 738, 0.09, -23, -1/2? -1/2 Which is the closest to 1/4? (a) -862 (b) -3 (c) 107 (d) 2/5 d Which is the nearest to 8? (a) -0.4 (b) -4 (c) -0.5 (d) -2 (e) -12915 a What is the closest to 5 in 10, -11, 16/7, -2? 16/7 Which is the nearest to -1? (a) -45 (b) -0.5 (c) 0.01 (d) -1 (e) -1.3 d What is the closest to 1 in 0.16, -4/3, -338, -5, -0.2? 0.16 Which is the nearest to 2/3? (a) -1/2 (b) 0.05 (c) -8 (d) 2/7 (e) 8/5 d What is the nearest to -95 in 3, -0.4, 1/7, -1/24? -0.4 What is the closest to 3 in -5, 56544, -2? -2 What is the nearest to -283 in -0.2841, 286/7, -2/5? -2/5 Which is the nearest to -0.76? (a) 0.3 (b) 1.3 (c) -442 a Which is the closest to -0.1? (a) 0.4 (b) 57 (c) -8468 (d) 0 (e) -18 (f) 1/9 d Which is the closest to -13.5? (a) -139 (b) 0.5 (c) 3 (d) 1/3 (e) 0.3 (f) -2/3 f Which is the closest to -2/3? (a) 0.02 (b) -1/59 (c) -3 (d) 2/11 (e) -5 (f) 0 b What is the closest to 16 in 2, -0.093, -84, 0.5, 1/6, -15? 2 What is the closest to -69 in -2/15, 0.4, 1, -1/5, 132? -1/5 What is the closest to -1/2 in 2/11, 24, -11/112, 6/5, 65? -11/112 Which is the nearest to 0? (a) 3 (b) 2/107 (c) -2/581 (d) -1 c Which is the nearest to -0.2? (a) -3/4 (b) 1/37 (c) -2 (d) -28.6 (e) -75/7 b Which is the nearest to 0.12? (a) -4/5 (b) -2/1913 (c) -0.2 (d) 2 (e) -8 (f) -21 b What is the nearest to 0.1 in -57.29, -1056, 0.3? 0.3 What is the closest to -0.1 in -6, -4, -22, 0.2, -2/11? -2/11 Which is the closest to -53/4? (a) 5/7 (b) -5 (c) -0.7 (d) 0.4 b What is the closest to 2/13 in 0.6, -1/8, -43, 0, -8? 0 Which is the nearest to 1.6? (a) 2/99 (b) 2/9 (c) -229 b What is the closest to -3067 in 0.02, 0.4, 3/4, -24? -24 What is the nearest to 8/7649 in -1/6, -0.06, 1/10, 0.5, 0, 3? 0 What is the closest to -0.31 in 0.76, -0.3, 87? -0.3 Which is the nearest to -7/10? (a) -2/9 (b) -1/5 (c) 4 (d) -3 (e) -167.2 a Which is the nearest to 8/11? (a) -4 (b) -2.73 (c) 285 b What is the nearest to -10 in -2/5, 2, 34, -0.242, -7? -7 Which is the closest to 0.1? (a) -6/17 (b) -1 (c) 9/8 (d) -2/313 (e) -1/3 d What is the closest to -72.5 in -4, -1.2, -1, -0.4, -5? -5 What is the nearest to -875.52 in 31, 2/9, -14, 0.4? -14 What is the nearest to -0.5 in 0.28, 8, -10/13, -4? -10/13 What is the closest to 0.031 in 1/5, -41, -0.16, 182? 1/5 What is the closest to -95 in 198/7, 1/2, 24? 1/2 What is the nearest to 12/163 in -942, -2/11, -3/5, -0.3, 5? -2/11 Which is the nearest to 170.3982? (a) -2 (b) -3 (c) 0.3 (d) 2/3 (e) -0.5 d Which is the nearest to -0.4? (a) 5 (b) 2/7 (c) 6/11 (d) 37 (e) -134 (f) 1.59 b Which is the nearest to -0.1? (a) -3571 (b) 0.4 (c) 0.2 (d) -3.067 (e) -3 (f) 1 c Which is the nearest to 11/4380? (a) 9 (b) 1/10 (c) 1 b Which is the nearest to 3663? (a) -33/8 (b) 2 (c) -2/5 (d) -2 b What is the nearest to 0.1 in 0.1, -614063, 18? 0.1 What is the closest to 3/4 in 171, 4, 0.41, -4? 0.41 What is the closest to 24 in -0.1, 0, 54/5, 7, 2? 54/5 Which is the nearest to 15? (a) -3/8 (b) -1.08 (c) 1/4 (d) -5 (e) 10 (f) -0.5 e What is the closest to 0 in -3/10, -2/17, -58, 0, 3/7? 0 Which is the closest to 258? (a) 57 (b) 1/2 (c) -0.1 (d) 3/4 a What is the nearest to 0 in 4/5, -0.34, 4732? -0.34 What is the closest to 4 in -1408, 9/7, 0.04, 1/5? 9/7 What is the nearest to 1 in -17554, -4, 0.5, 2426? 0.5 What is the nearest to 114511 in 5, -8, 0.5? 5 Which is the nearest to 1376? (a) -163/7 (b) -33 (c) 1/7 c Which is the closest to 0.5? (a) -8.44 (b) -3 (c) 13 (d) -2/9 d What is the closest to 1/4 in 1639, 103, -17? -17 What is the nearest to -3/5 in -19.35, 1.1, 0.01? 0.01 What is the nearest to -0.254 in 163, 66/13, 8? 66/13 What is the nearest to -1/2 in 3, -1/7, -5, -1/3, -12.38? -1/3 Which is the closest to 2/9? (a) -193 (b) 0.3 (c) 5 (d) 70 b What is the nearest to -1 in -40.1, -2/3, -11, -5228? -2/3 Which is the closest to -2.2? (a) -1/6 (b) -0.27 (c) -17 (d) -10 (e) -17/2 b Which is the closest to 0.1? (a) -1/204 (b) 2 (c) -191 (d) 3 (e) -3 a What is the closest to 0.2 in 51, -4, -3/5, 0.1, -10, 1.291? 0.1 Which is the nearest to 1? (a) 0.36 (b) 2/11 (c) -2/19 (d) -0.4 (e) 0 a Which is the closest to 0.1? (a) 6903/16 (b) -28 (c) -0.5 (d) 4/7 (e) -4 d Which is the nearest to 1? (a) -1.61 (b) -5 (c) -826 a What is the closest to -0.92 in 2/5, -0.3, 6, -3, -11? -0.3 What is the closest to 3 in 2/11, -24.5, 58.5? 2/11 Which is the nearest to -0.32371? (a) 3 (b) -2 (c) -0.0181 c Which is the closest to 5/12? (a) -13 (b) 25 (c) -2/7 (d) -1/5 d What is the nearest to 2 in -46, -9, -2/25, -2/37, -0.2, -4? -2/37 Which is the closest to 6? (a) 3/8 (b) 1 (c) -2 (d) 0.009 (e) -103 b Which is the closest to -4166? (a) 0.3 (b) 2 (c) 17 (d) -4/5 d What is the closest to -3 in -6958, -0.4, -2, 9? -2 What is the nearest to 41 in -2/7, -2/13, -13, -24.25? -2/13 What is the closest to 1/9 in -2, 2297, 1, -1/107? -1/107 Which is the nearest to 0.072? (a) 8/317 (b) 43 (c) -0.4 a Which is the closest to -11? (a) 1138 (b) 1/6 (c) -19/4 c Which is the closest to -0.0116? (a) 3 (b) 2/5 (c) 14.5 (d) -1/3 (e) -5 (f) 0 f Which is the closest to 0.2? (a) -3231 (b) 0.2 (c) 1/16 b What is the nearest to 0.1 in 1370/9, -5, 2/869? 2/869 What is the nearest to -2/9 in -0.384, -0.5, 3, 0.5, -3/38, -0.35? -0.35 Which is the nearest to -5389? (a) 0.3 (b) -1/4 (c) 10 (d) -3 (e) 2/3 d What is the nearest to -4 in -1, -2/5, -6, 95/6, -4? -4 What is the nearest to -10/11 in 15/163, 0.3, -0.3, 45, -0.4? -0.4 What is the nearest to 0 in 3.7, -2/7, 7.83, -2? -2/7 Which is the closest to 1118704? (a) -5 (b) 5/3 (c) -0.3 (d) -1 (e) -1/8 b What is the nearest to -2 in 5, 0.3, 0.279, 3, 4? 0.279 What is the nearest to -0.4 in 0.17, -4/431, 0.3, 5, 0? -4/431 Which is the nearest to 0? (a) -9 (b) 8 (c) 0 (d) 871 c Which is the nearest to -1/3? (a) -1222 (b) 0 (c) 890 (d) -0.3 d What is the nearest to 1/3 in -50, 0.1, 656? 0.1 Which is the closest to -41/274? (a) 4 (b) 14 (c) 1/11 c Which is the nearest to 0? (a) -0.4 (b) 10 (c) -0.071981 c Which is the closest to -0.2? (a) -3 (b) -5/2 (c) -8837 (d) 1 d What is the closest to -2 in 2/3, -513375, 0.1, -5, 0.5, 1/3? 0.1 Which is the nearest to 26.26? (a) 14 (b) -18 (c) -4/3 (d) -1/2 a What is the nearest to 2 in -1/3, -2, 1/4, 1517, -0.2? 1/4 Which is the closest to 1.06? (a) -1030 (b) -22 (c) 6 c What is the nearest to -206 in -1, -11, -3? -11 What is the closest to -1 in -7.3, -2/55, 1/19, 0.009, 1/9? -2/55 Which is the nearest to -0.11? (a) 396 (b) -538 (c) 0.5 (d) 2/3 c What is the closest to 0 in -0.1, -0.9, 0.5, 6, 270? -0.1 What is the closest to -0.2 in -3/4, 8/387, -2, 2, -5, 1147? 8/387 Which is the closest to -0.1? (a) -5 (b) -3/4 (c) -14/5 (d) 2/13 (e) -167/6 (f) -4/7 d Which is the closest to 1? (a) 16 (b) 0.1 (c) 1222 (d) -6 (e) -2 b What is the nearest to -2/9 in 4/27569, 2, -0.2, 0.2? -0.2 What is the nearest to -1/2 in 1/2, -6, -1.904, -1/4, 0? -1/4 What is the closest to 0.1 in 3/46, 1/60, -2, 4? 3/46 What is the nearest to 44562 in 4/3, -1/10, 0.03? 4/3 What is the nearest to 8 in 1/20, 483, -28? 1/20 Which is the nearest to 2.62? (a) 3 (b) -2 (c) -10 (d) -2/17 (e) 5 a What is the nearest to 68930 in 16, -3/8, 0.03? 16 What is the nearest to 6 in 1.2, 4894, -2/13, 0? 1.2 What is the nearest to -1/2 in 0.1, -4, 2, -7, 1, 3437? 0.1 What is the nearest to -11/8 in -3, -99, 0.4, 2/91? 2/91 Which is the closest to 3? (a) 1/10 (b) 365/3 (c) -444/5 (d) -0.3 (e) -0.4 a Which is the closest to -10? (a) -2 (b) -0.4 (c) 25/3 (d) 101 (e) 4/3 (f) 22 a Which is the closest to 0.04? (a) -3554964 (b) 4 (c) 2 (d) -0.03 d What is the closest to -468.4 in 2, -4, -0.1, 41/3? -4 What is the nearest to -1 in -50, 0.691, -7? 0.691 What is the closest to 0 in 4.2, 1/2, -0.04, 27, 2/19? -0.04 What is the nearest to 0.07 in -8, -1/6, -31, -2, -37.4, 1/43? 1/43 Which is the nearest to -3? (a) 4 (b) -26532 (c) 0
{ "pile_set_name": "DM Mathematics" }
l Expand (-2*p + 3*p + 5*p)*(681*p + 369701*p**2 + 123*p - 369702*p**2). -6*p**3 + 4824*p**2 Expand (-6*l**2 + 832*l**3 - 1338*l**3 + 5*l**2)*(-1 - 2 + 2). 506*l**3 + l**2 Expand (-2*w**2 + 0*w**2 + 0*w**2)*(5*w**2 - 20*w**2 - 6*w**2) + (-4*w**2 + 0*w**2 + 2*w**2)*(-2*w**2 - 2*w**2 + 2*w**2) + 3*w + 4*w**4 - 3*w. 50*w**4 Expand (-z + z - 2*z)*(-2*z**3 + z - z) - 2*z**4 - z**4 + 4*z**4 + 2*z - 236*z**3 + 221*z**4 - 219*z**4 - 244*z**3. 7*z**4 - 480*z**3 + 2*z Expand (9602*d**4 + 1438*d**4 + 127*d**4)*(3*d + 2 - 2). 33501*d**5 Expand (-7*u**4 + 9 - 9)*(-23 + 168*u + 23). -1176*u**5 Expand (8*u**2 + 4*u**3 - 8*u**2)*(2 - 2 - 4) - 13*u**3 - 26*u**3 + 19*u**3. -36*u**3 Expand (13 - 8 - 2)*(0 - 5 - 2)*(-23*n**2 - 11*n**2 - 3*n**2). 777*n**2 Expand (3*u**4 + 2*u**4 - 3*u**4)*(-3*u - u + 5*u)*(84 + 126 + 40). 500*u**5 Expand -4*t**2 + 2*t**3 + 4*t**2 + (4*t - 4*t - t)*(3*t - 2*t**2 - 3*t) + 3*t**3 + 0*t**3 - 2*t**3 + 4*t**3 + t**3 - t**3 - 385*t**3 - 218*t**3 + 920*t**3. 326*t**3 Expand (-g + 0*g + 2*g)*(14 - 7 + 14) + 2 - 2*g + 2 - 7 + (-2 - 3 + 4)*(3*g - 4*g + 0*g). 20*g - 3 Expand (8*n - 8*n - 17*n)*(-4 + 11 + 24)*(-4 + 1 + 0). 1581*n Expand -5*r**3 + 0*r**3 + 2*r**3 + (2*r - 4*r + 0*r)*(2*r**2 + 3*r**2 - r**2) + 5*r**3 - 8*r**3 + 0*r**3 + 22*r**3 - 8*r**3 - r**3. -r**3 Expand m - m - 4*m**2 - 3 + 3 + 2*m**2 + (-4*m + m + 6*m)*(7*m - 3*m - 3*m) + (4 - 4 - 5*m)*(1 - m - 1). 6*m**2 Expand (-a**3 - 2*a + 2*a)*(8*a**2 + 8*a**2 - 8*a**2) + 0*a - 2*a**5 + 0*a + 4*a**5 + 23873*a - 23642*a - 2*a**5. -8*a**5 + 231*a Expand (-18*t + 274*t - 11*t)*(0 + 4 - 2). 490*t Expand 0*r + r - 2*r + (0 + 3 + 0)*(-2 - 4 + 4)*(-3 + 1 - 2)*(-11*r - 8*r + 8*r + 1). -265*r + 24 Expand 2*p**2 + 0*p + 0*p - 13074*p + 13*p**2 + 13074*p + (-2*p + 0*p + 0*p)*(-4*p + 3*p + 0*p) + (0*p + 0*p - 5*p)*(-p - p + 3*p) + 2*p - 2*p + 2*p**2. 14*p**2 Expand -6*y + 4*y - 2*y + (-20*y - 22*y + 39*y)*(-2 + 5 - 5) + y + 4*y - 6*y. y Expand (6 - 2 - 2)*(-g - 77 + 46 + 35)*(-1 - 1 + 6) - 11*g + 3*g + 17*g. g + 32 Expand (-3*q**2 - 2*q**3 + 3*q**2)*(-646*q + 1269*q - 625*q - 1952). 4*q**4 + 3904*q**3 Expand (-89 - 22 + 282*x + 119)*(4*x**3 - x**3 - 5*x**3). -564*x**4 - 16*x**3 Expand -l - 2*l - l + (-3*l + l + l)*(4 - 2 - 3) - 19 + 9*l + 19 - 2*l + 12*l + l. 17*l Expand 24*j + 276 - 276 - 6*j + 12*j - 23*j + 2 - 2 - j + (-1 + 3 - 1)*(j - 3*j + j) - 2*j - 4 + 4 - 5 + 2*j + 5 + (-2 + 2 - 2*j)*(2 - 4 + 0) - j + j - j. 8*j Expand (-13160*j + 9 - 3 + 40962*j - 6)*(0 - 1 + 0). -27802*j Expand (-6*k**2 + 2*k**2 + 2*k**2)*(2 - 4 + 4) + (-144*k**2 - 59*k**2 + 88*k**2)*(1 - 2 - 1). 226*k**2 Expand (-3*f + 2*f + 0*f + (2 - 6 + 3)*(2*f - 3*f + 2*f) + 11*f + 18*f - 11*f)*(447*f**2 + 33*f**4 - 447*f**2). 528*f**5 Expand (d**4 - 2*d**4 + 3*d**4 + (-2*d**3 + 4 - 4)*(2 - 2*d - 2) + 1356*d - 673*d - 197*d**4 - 680*d)*((4*d - 6*d + 3*d)*(1 - 1 + 1) - 2*d + 3 - 3). 191*d**5 - 3*d**2 Expand (0 + 1 + 0)*(w + 2*w**5 - w) + 22201469*w**4 - 22201469*w**4 + 13151*w**5 + 1398*w**5. 14551*w**5 Expand (685 + 1843 + 733)*(0*r**2 + 2*r**2 + 0*r**2). 6522*r**2 Expand (3 - 3 - u)*(-u**2 + 4 - 4) + (-12*u**2 + 4*u**2 - 17*u**2)*(58*u + 0*u + 20*u). -1949*u**3 Expand (-4 - 1 + 0)*(-2 - 5 + 4)*(-t - 29 - 26*t + 21*t). -90*t - 435 Expand (-29 - 3*a - 19 + 65)*(-4 - 1 + 0). 15*a - 85 Expand (-1 + 3 + 0)*(-2*r - 2*r + 9*r) - 6 + 3*r + 6 - 2. 13*r - 2 Expand (-s**2 + 0*s**2 + 0*s**2)*(-s - 5*s + 5*s)*(0 + 1 - 5)*(0 + 22 + 0). -88*s**3 Expand (-m**3 + 7*m**3 + 3*m**3)*((-4 + 2 - m + 2*m)*(-3 + 0 + 1) + (-m - 3*m + 11*m)*(-1 - 3 - 3)). -459*m**4 + 36*m**3 Expand (531 - 191 - 31)*(-4*z + z - 5*z). -2472*z Expand (3*t + t - 2*t + 5)*(44*t - 44*t + 87*t**3) + (0*t - 5*t + 3*t)*(2 - 2 - 2*t**3 + 2*t). 178*t**4 + 435*t**3 - 4*t**2 Expand (-6 + 5 + 3)*(-1 + 0 + 0)*(407*w**5 + 392*w**5 - 217*w**5). -1164*w**5 Expand (-18 - 7 - 6)*(243*o - 351*o + 247*o). -4309*o Expand (-j - 2*j**2 + j)*(90 + 2*j**3 + 155*j**3 - 115*j**3). -84*j**5 - 180*j**2 Expand (-5*o**2 + 4*o**2 + 2*o**2)*(o**3 - o**2 + o**2) + 3*o**5 - 2*o**2 + 2*o**2 + (-29*o - 2*o - 29*o)*(0*o**4 + 3*o**4 - 4*o**4). 64*o**5 Expand (1977 + 41*h - 1977)*(-226 + 103 + 94)*(-2*h**3 + 2*h - 2*h). 2378*h**4 Expand (-h + 0 + 0)*(1 + 1 + 0)*(-243 - 225 + 3)*(0 + 0 + 1). 930*h Expand (2 + 0 + 1)*(k - k - 2*k) - 3*k - 1 + 1 + (2 - 2 - 2)*(-k - 2*k + 0*k) - 7*k + 7*k + 4*k - 14 + 160*k - 79*k - 80*k. 2*k - 14 Expand 9*l**2 - 4*l**2 + 4*l**2 + (-2*l - 4*l + 5*l)*(-l + 5*l - 6*l) - 9*l + 10*l**2 - 11101 + 11101. 21*l**2 - 9*l Expand (1199*p - 149*p**3 - 1199*p)*(-2 - 6*p + 2) - 2*p**4 - 4*p**4 + 3*p**4. 891*p**4 Expand (18 - 8*f**5 - 6*f**3 - 10 + 7*f**3)*(-28 + 4 - 12). 288*f**5 - 36*f**3 - 288 Expand (4*k - k - 2*k + (2 - 2 - k)*(-5 - 1 + 5) + 59030 - 592*k - 59030)*(6 - 5*k - 6). 2950*k**2 Expand (209 - 2326 - 451 + 374)*(3*q**3 - 4*q**3 + 4*q**3). -6582*q**3 Expand s**5 - 38*s**2 + 38*s**2 - 26 + (-s**2 - s**3 + s**2)*(-10*s + 10*s + 5*s**2). -4*s**5 - 26 Expand 45*n**3 + 1447*n - 1447*n + (-1 - 2 + 2)*(-21*n**3 - 36*n + 36*n). 66*n**3 Expand (4 - 1 - 4)*(-9*k**2 + 9*k**2 - k**5)*(-6 + 2 + 7)*(36 - 12 + 26). 150*k**5 Expand (2*r**2 + 4*r**2 - 5*r**2)*(4 + 0 - 6 + (1 - 3 + 3)*(-2 + 4 - 4) - 2 + 2 + 2 + 0 + 0 + 1)*(-13*r**2 + 39*r**2 - 332 + 327). -26*r**4 + 5*r**2 Expand (-3 + 6 - 4)*(0*z**3 + 10*z**3 + 7*z**3)*(911*z + 6 - 8 + 2). -15487*z**4 Expand (4*h - 3*h - 2*h)*(-1 + 1 + h) + h**2 + 4*h**2 - 3*h**2 + 708*h**2 + 4116*h**2 - 1452*h**2. 3373*h**2 Expand (-2378 + 58*s**4 - 57*s**4 + 164 + (-3 - s**2 + 3)*(-4*s**2 - s**2 + 4*s**2) + 2*s**4 + 2 - 2)*(2*s + s + 3*s). 24*s**5 - 13284*s Expand (-32 - 120 - 13)*(-2 + 2 - d)*(-52 + 54*d + 52). 8910*d**2 Expand 0*t + t - 4*t + (-13 - 26 + 13)*(-3*t + 0*t + t) - 2 - t + 2 + (2*t - t + t)*(1 + 1 - 1) - 3*t + t - 3*t. 45*t Expand (5*b**2 - 5*b**2 + 2*b**4 + (0*b**2 - 2*b**3 + 0*b**2)*(395 + 24*b - 395))*(-1 + 1 - 2)*(-3*b + 0*b + 6*b) + (2*b**4 - 2*b**4 + b**4)*(6*b - 3*b + 3*b). 282*b**5 Expand (2*i**2 - 4*i**2 - 97 + 23)*(7*i + 3*i + 0*i). -20*i**3 - 740*i Expand (3*z + z - 3*z)*(5467*z + 14257*z - 2727*z + 2296*z + 2127*z). 21420*z**2 Expand ((-c**2 + 0*c + 0*c)*(c**2 + 2*c**2 - c**2) + 1 - 3*c**4 - 1)*(143*c - 12*c - 31*c) + (-c - 2*c**4 + c)*(2*c - 2*c - 2*c). -496*c**5 Expand -10 + 2 - 3 - 2*u - 37 + 37 - 3*u + 0*u + 0*u + 2*u + 2*u - 3*u + 3*u + 0*u + u + u + (-1 - 3 + 2)*(0 + 2*u + 0) + u - 2 + 2 - 2 - 2*u + 2 + 4 - 2*u - 4. -6*u - 11 Expand (-1224 + 613 + 479*p + 611)*(5 - 8 + 2). -479*p Expand (-k + 0*k + 4*k + 4*k + k - 4*k + (4 - 1 - 6)*(k - k + k) - 5 + k + 5)*(7*k**2 - 14 + 20 - k + 2*k). 14*k**3 + 2*k**2 + 12*k Expand (5*g**2 - 39*g**2 - 15*g**2)*(-62 + 15*g**2 + 62 + (1 - 1 + g)*(-2*g + 3*g + 0*g)). -784*g**4 Expand (-15 - 35 + 8)*(-3*p + 6*p - 2*p)*(4*p**2 - 4*p**2 - 3*p**2). 126*p**3 Expand (-b**3 + 0*b**3 + 3*b**3 + (b + b - 4*b)*(3*b - 3*b - 2*b**2))*(1 - 2 - 3 + (3 + 0 - 2)*(1 + 2 - 4) - 7 + 0 - 5). -102*b**3 Expand (-6*s**4 - 19 + 19)*(2 - 1 - 6)*((26 + 1 - 8)*(-4*s + s + s) + (3 + 3 - 4)*(-3*s - 7 + 7)). -1320*s**5 Expand (-1 - 6 + 4)*(-4*d + 3*d - 2*d) - 3*d + 7*d + 14*d + 15*d. 42*d Expand (-32 + 10 + 9)*(4 - 6 + 1)*(-240*i + 474*i + 357*i). 7683*i Expand (r - r + 2*r)*(-110621*r + 5*r**2 - 2*r**3 + 111588*r - 4*r**2). -4*r**4 + 2*r**3 + 1934*r**2 Expand -5265616*p**3 + 5265616*p**3 + 80*p**4 + 9*p - p**4 + p**4 - p**4 + 2*p**4 - 3*p**4 + 2*p**4 + (-3*p + 7*p - 2*p)*(-4*p**3 + 3*p**3 + 0*p**3). 78*p**4 + 9*p Expand (-11831 - 1294*j + 11831)*(1 + 2 - 2)*(-3*j - 3*j**3 + 3*j). 3882*j**4 Expand (6*q**2 + 4*q**2 - 6*q**2)*(-72 + 50 + 13 + 53 + 75*q). 300*q**3 + 176*q**2 Expand 4*s - 5*s + 5*s - 86*s**3 + (-s**2 - s**2 + 0*s**2)*(43*s - 7*s - 8*s). -142*s**3 + 4*s Expand (517 + 479 - 961)*(4*v**3 + 3*v**3 - 4*v**3)*(-4*v + 2*v - 9*v + v). -1050*v**4 Expand (68*s**2 + 0*s**2 + 6*s**2)*(0*s**2 - 3*s**2 + 0*s**2) + (5*s - 1 + 1)*(2*s**2 + 0*s**2 - s**2 + 2*s**3). -212*s**4 + 5*s**3 Expand (-6*a + 3*a**2 + 6*a)*(-5*a + 3*a + 0*a) - 9*a + 9*a - 6*a**3 + 44*a**3 - 638*a + 638*a. 32*a**3 Expand ((-2 + 3 - 3)*(3 - 3 + 2*h) + (17 + 3 - 10)*(-1 + 1 - 9*h))*(-3*h - 2*h + h)*(-3 + 2 - 1)*(5 - 2 - 1). -1504*h**2 Expand (-1 + 4 - 5 + 9*s)*(-2*s + 16 - 10 + 20)*(-6*s + 6*s + 2*s**2). -36*s**4 + 476*s**3 - 104*s**2 Expand (1 + 0 + 0)*(12*u - 12*
{ "pile_set_name": "DM Mathematics" }
sqrt(1500)*1*-1*6)/(sqrt(15)/sqrt(3)*1 - sqrt(5) - sqrt(5) - sqrt(60)/(sqrt(36)/sqrt(3))). 30*sqrt(3) Simplify ((-2*sqrt(234)*1)/(-1*(sqrt(9)*2 - sqrt(9))))/(-3*-1*sqrt(1800)). sqrt(13)/45 Simplify (-5 + -4*(sqrt(300) + -4 + sqrt(300) + 2) + 1 + 0)**2. -640*sqrt(3) + 19216 Simplify 0 + ((-5 + 6*(0 + 2 + sqrt(833) - (sqrt(833) + -1 + sqrt(833) + sqrt(833) + 2)) + 4)*3)**2. -7560*sqrt(17) + 1079793 Simplify (sqrt(2448) + (0 + sqrt(2448) + sqrt(2448))*-1 + 4 - (4 + -1*sqrt(2448) + sqrt(2448) - ((sqrt(2448)*2)**2 + 3))) + -2 + 2. -12*sqrt(17) + 9795 Simplify ((1 + (-2*sqrt(51)/sqrt(3) - (sqrt(187)*1)/sqrt(11)) - (((sqrt(153) - sqrt(153)*-1)/sqrt(3))/sqrt(3) + 1))*-2)**2. 1700 Simplify 1*(2*sqrt(5200)*5)/(sqrt(8)/sqrt(32) - (sqrt(192)/sqrt(4))/sqrt(12)). -400*sqrt(13)/3 Simplify 5 + (sqrt(3872) - (sqrt(3872) + -4)*3 - (sqrt(384) + 6*(sqrt(384)*2 + sqrt(384) + sqrt(384)))/sqrt(12)). -188*sqrt(2) + 17 Simplify (4 + -6*(-2 + sqrt(75) + -5) + (sqrt(75) - (-2 + (sqrt(75) - (0 + sqrt(75)))))*-2 + 4)**2. -3680*sqrt(3) + 6916 Simplify 2*((sqrt(200)/(2*-2*sqrt(8)))/(2*sqrt(5)*2 + (sqrt(5) - (sqrt(245) + sqrt(245)*-2))) + -3)**2. sqrt(5)/4 + 20741/1152 Simplify -4 + 2*sqrt(35)/sqrt(7) + 3 - (3 + (5 + (-5*sqrt(405) - sqrt(405)) - sqrt(405)))**2. -19910 + 1010*sqrt(5) Simplify (-5 + (2*(sqrt(156)/(1*sqrt(12)) + sqrt(78)/(sqrt(18)/sqrt(3))) - 5*(sqrt(13) + 2 + 2 - (sqrt(325) + -2))))**2. -1680*sqrt(13) + 8713 Simplify -3 + ((1*sqrt(180)*4)**2*4 + 2 - ((sqrt(180) - (sqrt(180) + 2)**2)*6 + ((sqrt(180) + -1 + sqrt(180))*-4)**2)). 1087 + 492*sqrt(5) Simplify ((2*sqrt(90)*5)/(sqrt(45)/sqrt(80)))/(sqrt(128)/sqrt(4) + sqrt(16)/(sqrt(72)/sqrt(9))). 8*sqrt(5) Simplify ((-3*(1 + sqrt(931)) - 3*(sqrt(931) + -1)) + -4)**2 + (-4*(sqrt(931) + 1 + sqrt(931)) + (sqrt(931) - (5 + sqrt(931)*-2 + sqrt(931) + sqrt(931))))**2. 1218*sqrt(19) + 79232 Simplify (-2*sqrt(102)*-1*5)/(2*sqrt(216) + (sqrt(108)/sqrt(3))/sqrt(6)) + 4. 10*sqrt(17)/13 + 4 Simplify ((sqrt(153) + -1*-2*sqrt(153) + sqrt(153) + (1*sqrt(153) - sqrt(153))*-2)/(4*2*2*sqrt(1296))*-4)**2. 17/144 Simplify 0 + 3*((sqrt(20) - (sqrt(20) + (sqrt(80)*-2)/sqrt(4) - sqrt(20)))**2 - (sqrt(405) + sqrt(405) + -5)**2) + 0. -4395 + 540*sqrt(5) Simplify ((2*sqrt(135)*-3 + sqrt(135))/(-1*sqrt(5)*2))**2 + 4. 691/4 Simplify -4*(5 + (3 + sqrt(18) + -5*sqrt(18)*3)*-2)**2*2. -112904 + 1344*sqrt(2) Simplify 2 + ((2*sqrt(245)*-2)**2 + 4 - ((sqrt(245)*3 - sqrt(245)) + 5)*-3). 42*sqrt(5) + 3941 Simplify 3*-3*((sqrt(80) - ((sqrt(80) + sqrt(80) + -4)**2 + sqrt(80))) + 3)*-5*1 + 5. -14980 + 2880*sqrt(5) Simplify 1*(((1*sqrt(42))/sqrt(3))/(5*-2*sqrt(2)) + (4*sqrt(175) + 5)**2 + 2 + 2). 1999*sqrt(7)/10 + 2829 Simplify 3*((3*sqrt(110) + sqrt(110) + sqrt(110))*-6 + (sqrt(110) + sqrt(110) + sqrt(110)*1)*-6)/(sqrt(60)/((sqrt(90)/sqrt(5))/sqrt(3))*2). -72*sqrt(11) Simplify (sqrt(98) + -3 + 3)*-5 - 5*2*((4 + sqrt(2))**2 + -3). -115*sqrt(2) - 150 Simplify (((sqrt(21) - -5*sqrt(63)/sqrt(3)) + (sqrt(168)*6)/sqrt(8))/(sqrt(432)*-5*4))**2. 7/400 Simplify (1 + -6*(sqrt(832) + 0) + sqrt(832)*-1 + 1 - (2*(sqrt(832) + 2 + sqrt(832) + -2) + 4))**2. 352*sqrt(13) + 100676 Simplify 5*(0 + sqrt(700)) - (-2*sqrt(7)*-3 - (sqrt(63) + -4)) - -6*(1 + sqrt(700)*-1 + 1). -13*sqrt(7) + 8 Simplify ((-5*(sqrt(525) + sqrt(21)))/sqrt(7) + 3 - (2*sqrt(27)*-2)/(-1*sqrt(9)*6 - sqrt(9)))**2 + -4. -1284*sqrt(3)/7 + 137633/49 Simplify (((sqrt(468) + 0 + -5)*3 + (sqrt(13) - (sqrt(13) + (sqrt(325) - (2*sqrt(325) + sqrt(325))))) + -5*sqrt(39)/sqrt(3))*-2)**2. -2760*sqrt(13) + 28408 Simplify -4 + -5*(-1 + (sqrt(325) + 1)**2) - (3 + (sqrt(325)*2 + -2 - sqrt(325)*2*2)). -1630 - 40*sqrt(13) Simplify (1 + 3*(2*sqrt(432))**2 + -3 - (((sqrt(432) - (sqrt(432) + 0)) + 2)*-1 + 0))*-2. -10368 Simplify 1*((sqrt(5500) - sqrt(5500)*1 - sqrt(5500))*-5*6)/((1*sqrt(50))/sqrt(10) - sqrt(5) - sqrt(30)/sqrt(6)*1). -300*sqrt(11) Simplify (sqrt(576) + (sqrt(576)*-1 - sqrt(576))*-2 + sqrt(576))/(1*sqrt(800) - (sqrt(800) - -2*sqrt(800))) + 2. -9*sqrt(2)/5 + 2 Simplify 1*(sqrt(98) + -6*(sqrt(98) - (sqrt(98) + -3))**2) - ((sqrt(96) - sqrt(96)*-2)/sqrt(12))**2*-1. 7*sqrt(2) + 18 Simplify (sqrt(1300) + 2*sqrt(1300))**2*-3 + ((4*-2*sqrt(52))**2 + sqrt(52))*4 + -4. -21792 + 8*sqrt(13) Simplify -3*2*6*(-3*(sqrt(500) + 0) - -5*(sqrt(500) + 3)). -720*sqrt(5) - 540 Simplify (3 + (-2*(sqrt(567) + -3*-2*sqrt(567))*-5 - (sqrt(567)*3 + 4 + 3 + (-3*sqrt(567) - sqrt(567)))))**2. -5112*sqrt(7) + 2858263 Simplify ((1*2*sqrt(832) + -4 + 3*sqrt(832) - -1*(-5 + -2 + sqrt(832))) + -5)**2. -1536*sqrt(13) + 30208 Simplify -5 + 2 + (sqrt(1700) + 1 + sqrt(1700) + 4)**2 + sqrt(187)/(sqrt(11) + -1*(sqrt(11) + (sqrt(176) - sqrt(11))) - sqrt(11) - sqrt(11)) + 4. 999*sqrt(17)/5 + 6826 Simplify (-3*(sqrt(78) + 3*sqrt(78)*3)*5)/((sqrt(288)/sqrt(8))/sqrt(6) - ((sqrt(216) - (sqrt(216) + sqrt(216)*-3)) + sqrt(6))). 25*sqrt(13)/3 Simplify 1 + (4*(sqrt(612) + -1) + sqrt(612) + 0 + 4 + (2*(0 + sqrt(612)) - (sqrt(612) + (sqrt(612) + -1)*4)) + -3)**2 + 5. 24*sqrt(17) + 2455 Simplify 4 + ((-2 + sqrt(468) + -4)**2*4 - ((1*sqrt(468))**2 + 4 - (1 + sqrt(468) + 0))) + -5. -282*sqrt(13) + 1544 Simplify (sqrt(392) - (1*sqrt(50) - sqrt(2))) + (sqrt(288) + -4*sqrt(288) + -1)**2*2. 154*sqrt(2) + 5186 Simplify (5*(3 + (sqrt(2736) + sqrt(2736) + 4 + sqrt(2736) + -2 - -5*(sqrt(2736) + -4 - sqrt(2736)))*4))**2. -496800*sqrt(19) + 9968625 Simplify (sqrt(54)/sqrt(3)*-2 + (sqrt(126)*1)/sqrt(7))/((sqrt(1296) - -1*sqrt(1296)*-1) + sqrt(1296) + -1*-1*sqrt(1296))*-5. 5*sqrt(2)/24 Simplify (sqrt(117) - (-1*sqrt(117) + -3) - (sqrt(117) - (sqrt(117)*-2 + -4)) - (5 + -2 + -5 + sqrt(117)*-2))**2. 6*sqrt(13) + 118 Simplify (-6*(2 + sqrt(108)) - sqrt(108)) + 3*sqrt(108) + -3 + (sqrt(108) - -2*(2 + sqrt(108)) - (sqrt(108) + sqrt(108)*-2 + -1)). -10 Simplify ((sqrt(405) - sqrt(405)*-3)*3 + sqrt(405) + 3 + 0 + -2 + (sqrt(405) - (0 + sqrt(405)*1 - sqrt(405))) + 5)**2 + -5. 1512*sqrt(5) + 79411 Simplify (5*(-3*(sqrt(320) - (sqrt(320) + 2 - sqrt(320))) + -4*(-1 + sqrt(320)) + -5 + 1*((sqrt(320)*-1 - sqrt(320)) + -2)))**2. -10800*sqrt(5) + 648225 Simplify (sqrt(57) - sqrt(114)/sqrt(2)*6)/(sqrt(9)/sqrt(27)) + (((sqrt(76)*2 - sqrt(76)) + sqrt(76))/sqrt(4)*-2 + 2)*-2. -7*sqrt(19) - 4 Simplify 0 + 4*(-4 + ((sqrt(204)*-1 + (sqrt(51) - 1*sqrt(6171)))/(-5*sqrt(147)*-1))**2). -9808/1225 Simplify (-2*(sqrt(26)/(3*sqrt(2)) + (sqrt(78)/(sqrt(6)*4) - sqrt(13)))*-3*-1*-1)**2. 325/4 Simplify -5 + ((2*sqrt(30)/sqrt(2))/(-1*sqrt(5)*-3) + 0 + sqrt(24)/(sqrt(8) - -2*sqrt(8)) + 3 + 2)**2. 10*sqrt(3) + 23 Simplify (1 + (-5 + 5*sqrt(1331) - 1*(sqrt(1331) + 2))*4)**2. -9504*sqrt(11) + 341465 Simplify sqrt(176)*5 + (sqrt(110)*3)/sqrt(10) + sqrt(11) + (1*sqrt(44) - sqrt(44) - 4*(sqrt(11) + 1 + sqrt(11)))**2. 88*sqrt(11) + 720 Simplify (sqrt(105)/sqrt(5)*-3*-3)/(1*sqrt(84)/(sqrt(84)/sqrt(7))). 9*sqrt(3) Simplify ((1*sqrt(1872)*5 + 5 + -2*sqrt(1872))*1 + -5*(sqrt(78)/sqrt(24) + sqrt(13))*-1 + -1)**2. 348*sqrt(13) + 98461/4 Simplify (5*(sqrt(96) + sqrt(96) + -1*sqrt(96)*-2 + sqrt(96) - sqrt(96)))/((4*sqrt(80)/sqrt(5))/sqrt(2)). 10*sqrt(3) Simplify sqrt(288) + (2*sqrt(288))**2 + (4*sqrt(18)*2)**2 + sqrt(36)/(-4*sqrt(6)/sqrt(3)). 45*sqrt(2)/4 + 2304 Simplify (sqrt(637)*-3 + (sqrt(13) - -1*sqrt(65)/sqrt(5)) + ((sqrt(65) + 2*sqrt(65))*-4)/(sqrt(180) + sqrt(180)*2 + sqrt(5)))**2. 1808677/361 Simplify 1 + ((((sqrt(228) + (sqrt(228) - (2*sqrt(228)*6 + sqrt(228)) - sqrt(228)) - sqrt(228)) + sqrt(228))/sqrt(6))/((2*sqrt(288) - sqrt(288))*5))**2 + -5. -81/25 Simplify (-2*sqrt(486)*-4*6)/(sqrt(10)/(-3*sqrt(5) + sqrt(5)) + (sqrt(98) - (sqrt(98) + sqrt(98)*-2))). 32*sqrt(3) Simplify ((1*sqrt(880) - sqrt(880))*-4 + 6*((sqrt(880)*-2 + sqrt(880) - sqrt(880)) + sqrt(880)))/(2*(4*(sqrt(500) - sqrt(500)*-2) - sqrt(500))). -6*sqrt(11)/55 Simplify (sqrt(1458)/sqrt(6) + (sqrt(45)/sqrt(5))/sqrt(3))**2 - ((sqrt(600)/sqrt(2))**2 + -1)*2. -298 Simplify (5*sqrt(228)*1 + sqrt(228) + (sqrt(228) - (1*sqrt(228)*-5 - sqrt(228))) + sqrt(228))/((3*(sqrt(108) + sqrt(108)*-2))/(sqrt(324)*1)). -28*sqrt(19) Simplify (sqrt(1225) - (sqrt(1225) + sqrt(1225)*1*3) - sqrt(1225) - (sqrt(1225)*-2 + sqrt(1225))*-6)/(((-2*sqrt(270))/sqrt(9) + sqrt(30))/(sqrt(216)*1)). 420*sqrt(5) Simplify (sqrt(198)/((-2*sqrt(121))/sqrt(11)))/((sqrt(6) + (sqrt(726) - sqr
{ "pile_set_name": "DM Mathematics" }
26, -9332533, -11665616, -13998669, -16331686, -18664661? g**3 - 2333144*g - 21 What is the i'th term of 6868, 863, -5142, -11147, -17152, -23157? -6005*i + 12873 What is the d'th term of 1890, 4208, 6934, 10068, 13610? 204*d**2 + 1706*d - 20 What is the h'th term of 868, 3843, 11926, 27673, 53640, 92383, 146458, 218421? 426*h**3 - 2*h**2 - h + 445 What is the b'th term of -16379, -16772, -17173, -17582? -4*b**2 - 381*b - 15994 What is the n'th term of 4584697, 4584740, 4584809, 4584904? 13*n**2 + 4*n + 4584680 What is the k'th term of 66926, 65344, 63752, 62144, 60514, 58856, 57164, 55432? -k**3 + k**2 - 1578*k + 68504 What is the v'th term of 1570, 11671, 28506, 52075, 82378, 119415, 163186? 3367*v**2 - 1797 What is the p'th term of 18172, 32137, 46102? 13965*p + 4207 What is the i'th term of -59558790, -59558793, -59558796, -59558799? -3*i - 59558787 What is the h'th term of 112, 382, 832, 1504, 2440, 3682, 5272, 7252? 7*h**3 + 48*h**2 + 77*h - 20 What is the g'th term of 13773, 14001, 14529, 15507, 17085, 19413, 22641? 25*g**3 + 53*g + 13695 What is the l'th term of 8223, 8263, 8303, 8343, 8383, 8423? 40*l + 8183 What is the p'th term of -178, -27, 418, 1307, 2790? 25*p**3 - 3*p**2 - 15*p - 185 What is the c'th term of 3610, -22323, -48256, -74189, -100122, -126055? -25933*c + 29543 What is the w'th term of -15411, -61252, -137655, -244620, -382147, -550236? -15281*w**2 + 2*w - 132 What is the l'th term of 9170, 18195, 27144, 36017, 44814? -38*l**2 + 9139*l + 69 What is the m'th term of 546, 1249, 1962, 2685, 3418, 4161? 5*m**2 + 688*m - 147 What is the q'th term of -1039273, -2078803, -3118333, -4157863, -5197393, -6236923? -1039530*q + 257 What is the l'th term of 12254346, 12254349, 12254354, 12254361, 12254370, 12254381? l**2 + 12254345 What is the w'th term of -7284444, -14568870, -21853282, -29137680, -36422064, -43706434? 7*w**2 - 7284447*w - 4 What is the t'th term of -36507, -72936, -109321, -145668, -181983, -218272, -254541? -t**3 + 28*t**2 - 36506*t - 28 What is the k'th term of 173828, 695330, 1564500, 2781338, 4345844? 173834*k**2 - 6 What is the w'th term of 2796, 28366, 70982, 130650, 207376, 301166, 412026? w**3 + 8517*w**2 + 12*w - 5734 What is the m'th term of 20858, 21795, 23356, 25541, 28350? 312*m**2 + m + 20545 What is the f'th term of -2879365, -2879361, -2879353, -2879341, -2879325? 2*f**2 - 2*f - 2879365 What is the j'th term of -3415, -6945, -10475, -14005, -17535, -21065? -3530*j + 115 What is the f'th term of 8264, 10518, 12770, 15020, 17268, 19514? -f**2 + 2257*f + 6008 What is the x'th term of -941847, -1883737, -2825627, -3767517, -4709407? -941890*x + 43 What is the o'th term of 4040688, 8081390, 12122092, 16162794, 20203496? 4040702*o - 14 What is the r'th term of 7990483, 15980975, 23971469, 31961965, 39952463, 47942963, 55933465? r**2 + 7990489*r - 7 What is the j'th term of -52324816, -52324817, -52324818? -j - 52324815 What is the h'th term of 6209, 13075, 19933, 26783? -4*h**2 + 6878*h - 665 What is the q'th term of -389113, -1556418, -3501929, -6225646, -9727569, -14007698? -389103*q**2 + 4*q - 14 What is the x'th term of 22017, 46802, 71587, 96372, 121157, 145942? 24785*x - 2768 What is the w'th term of 20768, 24846, 31636, 41138, 53352, 68278? 1356*w**2 + 10*w + 19402 What is the a'th term of -825241, -1650630, -2476019? -825389*a + 148 What is the y'th term of -3322298, -6644592, -9966886, -13289180, -16611474? -3322294*y - 4 What is the o'th term of 12062289, 24124561, 36186831, 48249099, 60311365, 72373629? -o**2 + 12062275*o + 15 What is the p'th term of 374966, 374658, 374352, 374048, 373746, 373446, 373148? p**2 - 311*p + 375276 What is the t'th term of 167097, 333077, 499057, 665037, 831017? 165980*t + 1117 What is the l'th term of -625664, -628007, -630350, -632693, -635036? -2343*l - 623321 What is the c'th term of 36800, 74475, 112150, 149825, 187500? 37675*c - 875 What is the m'th term of -27348436, -27348443, -27348454, -27348469, -27348488, -27348511, -27348538? -2*m**2 - m - 27348433 What is the u'th term of -68710, -68231, -67400, -66217, -64682? 176*u**2 - 49*u - 68837 What is the g'th term of 27327, 54467, 81607, 108747, 135887? 27140*g + 187 What is the a'th term of 2259, 4615, 7169, 10011, 13231, 16919, 21165? 15*a**3 + 9*a**2 + 2224*a + 11 What is the w'th term of 923621, 922981, 922327, 921653, 920953, 920221, 919451, 918637? -w**3 - w**2 - 630*w + 924253 What is the u'th term of 5778, 5409, 5028, 4635, 4230? -6*u**2 - 351*u + 6135 What is the k'th term of -4925074, -9850151, -14775228, -19700305, -24625382, -29550459? -4925077*k + 3 What is the l'th term of 991222, 991197, 991172, 991147? -25*l + 991247 What is the k'th term of -409606, -409650, -409694? -44*k - 409562 What is the c'th term of 2553, 8605, 18161, 31221, 47785? 1752*c**2 + 796*c + 5 What is the j'th term of -2493, -2432, -2329, -2190, -2021? -j**3 + 27*j**2 - 13*j - 2506 What is the m'th term of 23308, 46273, 69238, 92203? 22965*m + 343 What is the d'th term of -71871, -72095, -72469, -72993, -73667, -74491? -75*d**2 + d - 71797 What is the c'th term of 8848420, 35393681, 79635782, 141574723, 221210504? 8848420*c**2 + c - 1 What is the a'th term of 896697, 896726, 896775, 896844, 896933? 10*a**2 - a + 896688 What is the g'th term of -16858, -72002, -163906, -292570? -18380*g**2 - 4*g + 1526 What is the q'th term of 58230, 58223, 58180, 58083, 57914, 57655, 57288? -3*q**3 + 14*q + 58219 What is the n'th term of -42590, -85224, -127872, -170540, -213234? -n**3 - n**2 - 42624*n + 36 What is the d'th term of -62912, -62988, -63114, -63290, -63516, -63792? -25*d**2 - d - 62886 What is the f'th term of 4939, 14832, 31313, 54382, 84039, 120284, 163117? 3294*f**2 + 11*f + 1634 What is the k'th term of -1875, -5787, -9699, -13611? -3912*k + 2037 What is the l'th term of -3975685, -7951372, -11927059, -15902746? -3975687*l + 2 What is the v'th term of -271069, -544408, -817747? -273339*v + 2270 What is the a'th term of -34305118, -68610239, -102915360? -34305121*a + 3 What is the y'th term of -858, -4157, -7456, -10755? -3299*y + 2441 What is the l'th term of 370, 624, 1074, 1720, 2562, 3600, 4834? 98*l**2 - 40*l + 312 What is the b'th term of -4497, -3730, -1583, 2634, 9611? 115*b**3 - 38*b - 4574 What is the q'th term of 53724, 53910, 54196, 54576, 55044? -q**3 + 56*q**2 + 25*q + 53644 What is the n'th term of -4412, -4395, -4372, -4343, -4308, -4267, -4220? 3*n**2 + 8*n - 4423 What is the s'th term of -85396, -169663, -253930, -338197, -422464, -506731? -84267*s - 1129 What is the y'th term of -38298962, -76597925, -114896892, -153195863, -191494838, -229793817, -268092800? -2*y**2 - 38298957*y - 3 What is the v'th term of 91, 414, 1127, 2386, 4347, 7166, 10999? 26*v**3 + 39*v**2 + 24*v + 2 What is the i'th term of -46216, -93410, -140590, -187750, -234884, -281986? i**3 + i**2 - 47204*i + 986 What is the h'th term of 239, 3142, 11943, 29876, 60175, 106074? 539*h**3 - 285*h**2 - 15*h What is the x'th term of -31112, -30411, -29710, -29009? 701*x - 31813 What is the k'th term of 2629, 5436, 8043, 10450, 12657, 14664, 16471? -100*k**2 + 3107*k - 378 What is the c'th term of 257712, 515528, 773340, 1031148, 1288952, 1546752? -2*c**2 + 257822*c - 108 What is the p'th term of 61046107, 61046095, 61046069, 61046023, 61045951, 61045847, 61045705? -p**3 - p**2 - 2*p + 61046111 What is the d'th term of 183874560, 183874565, 183874572, 183874581, 183874592, 183874605? d**2 + 2*d + 183874557 What is the r'th term of -7555, -20833, -34111? -13278*r + 5723 What is the u'th term of 857265, 857293, 857319, 857343, 857365, 857385, 857403? -u**2 + 31*u + 857235 What is the s'th term of -4288998, -17155985, -38600964, -68623935, -107224898, -154403853, -210160800? -4288996*s**2 + s - 3 What is the a'th term of 63107, 126216, 189325? 63109*a - 2 What is the f'th term of -100705, -201401, -302097, -402793, -503489? -100696*f - 9 What is the j'th term of -5151, -10481, -15743, -20937? 34*j**2 - 5432*j + 247 What is the a'th term of -381797, -381876, -381955, -382034, -382113? -79*a - 381718 What is the f'th term of 19695654, 19695655, 19695656, 19695657? f + 19695653 What is the j'th term of -1525, -4077, -7647, -12235, -17841, -24465
{ "pile_set_name": "DM Mathematics" }
/720 - 25*j**4/12 - 29*j. Let v(s) be the third derivative of o(s). Determine v(b(q)). -4*q Let a(v) = 507*v**2. Let l(h) = -227*h**2. What is l(a(k))? -58350123*k**4 Let w(a) be the first derivative of -a**2/2 + 1. Suppose 4*d - 56 = -8. Let r(j) = 7*j - d*j + 7*j. Calculate w(r(p)). -2*p Let z(q) = -175*q. Let s(j) = 4*j - 39. Calculate s(z(w)). -700*w - 39 Let p = -14 - -7. Let b = p - -11. Let w(j) = -7*j**2 + b*j**2 + j**2. Let k(d) = 3*d. Calculate k(w(t)). -6*t**2 Let s(f) be the second derivative of -3/4*f**4 + 8*f + 0*f**3 + 0*f**2 + 0. Let d(m) = -2*m. Calculate d(s(y)). 18*y**2 Let b(f) = 2*f + 39. Let p(a) = -14*a + 4. Let g(q) = 18*q - 5. Let r(y) = 4*g(y) + 5*p(y). Give b(r(n)). 4*n + 39 Let c(d) = 42*d. Let y(g) be the first derivative of 2*g**3 + 185. Give c(y(h)). 252*h**2 Let j(a) = -4*a**2. Let l(q) = -41*q**2 + 8. Let p(f) = -285*f**2 + 54. Let w(i) = -27*l(i) + 4*p(i). Determine j(w(v)). -4356*v**4 Let f(b) = -5*b**2. Let i(n) = -n - 2. Let k(z) = -8*z - 10. Let h(u) = 5*i(u) - k(u). What is h(f(y))? -15*y**2 Let n(t) = t - 97. Let r(q) = 10*q**2. What is r(n(j))? 10*j**2 - 1940*j + 94090 Let f(u) = -13*u. Let c(d) = -11*d - 1. Let i(r) = -6*c(r) + 5*f(r). Let g(n) = -6*n**2. What is i(g(t))? -6*t**2 + 6 Let b(k) = -32*k**2. Let g(l) be the first derivative of 7*l**2/2 - 136. Calculate g(b(d)). -224*d**2 Let s(n) be the third derivative of -n**4/12 + n**2. Let a(u) = 2*u + 27. Let i(q) = -10*q - 131. Let g(r) = -6*a(r) - i(r). Calculate g(s(j)). 4*j - 31 Let h(c) = 159*c**2. Let g(x) = -4*x - 60. Let l(u) = -3*u - 42. Let w(p) = 7*g(p) - 10*l(p). Give h(w(d)). 636*d**2 Suppose 0 = 20*n - 24*n - 8. Let s be n*2/(2/(-7)). Let x(k) = -s*k - 4*k**2 + 7*k**2 + 14*k. Let b(c) = 2*c. Determine b(x(u)). 6*u**2 Let b(z) = -2*z. Let a(j) = j**2 + 3*j. Let i(n) = -113*n**2 - 12*n. Let g(p) = 4*a(p) + i(p). Determine b(g(u)). 218*u**2 Let d(j) = -2*j. Let b(k) be the first derivative of 12*k**2 + 351. What is b(d(p))? -48*p Let d(w) = -137*w + 2. Let v(j) = 130*j - 2. Let x(y) = 5*d(y) + 6*v(y). Let h(f) = -2*f. What is x(h(b))? -190*b - 2 Suppose -w + 1 = -0*w, -3*l - 5*w + 14 = 0. Suppose -2*r - l*a = -14, 3*a + 6 = 3*r - 0*a. Let g(p) = -p - r*p + 5*p + p. Let z(n) = -9*n**2. Calculate z(g(i)). -9*i**2 Let p(v) = 76*v. Let l(w) = 22*w - 15*w - 8*w. Give p(l(h)). -76*h Let t(j) = -20*j - 22*j + 41*j. Let l(b) be the second derivative of 8*b**4/3 + 2*b. Give t(l(r)). -32*r**2 Let p(t) = 56*t + 51*t + 69*t - 205*t. Let b(y) = 2*y. Calculate p(b(g)). -58*g Let t(b) = -b**2 - 84*b. Let x(i) = -i**3 + 4*i**2 + 3*i + 13. Let c be x(5). Let z(j) = 14*j - c*j - 6*j - 3*j. Calculate z(t(a)). -2*a**2 - 168*a Let w(r) = -118*r**2 - 8*r + 18. Let d(u) = 14*u. Calculate w(d(q)). -23128*q**2 - 112*q + 18 Suppose -g - 2*r + 4 = 0, -2*g - 2 - 8 = -5*r. Let v(q) = 59 - 3*q + g*q - 59. Let y(c) = 2*c**2. Calculate v(y(l)). -6*l**2 Let n(j) = -219*j. Let i(c) = 2*c. Let p(x) = 4*x. Let s(z) = -9*i(z) + 4*p(z). What is s(n(u))? 438*u Let o(f) = 4296194*f. Let q(c) = -2*c**2. Give o(q(n)). -8592388*n**2 Let g(d) = -3*d**2. Suppose 3*r = r. Suppose -2*q + 4 + r = 0. Let x(f) = 2*f**2 + q*f**2 - 3*f**2. Give g(x(o)). -3*o**4 Let b(a) = -11*a**2. Let h(c) be the third derivative of -11*c**4/24 - 8*c**2 - 9*c. Give b(h(v)). -1331*v**2 Let w(m) = 15*m - 6. Let p(d) = -13*d + 5. Let x(f) = -6*p(f) - 5*w(f). Let n(l) be the first derivative of -l**2 + 2. What is n(x(k))? -6*k Let w(l) = -l - 2688. Let t(n) = 2*n. What is w(t(q))? -2*q - 2688 Let a(p) be the second derivative of 0*p**3 + 0 - 7/6*p**4 - 25*p + 0*p**2. Let d(o) = -2*o. Give d(a(u)). 28*u**2 Let i(m) be the second derivative of -m**3/6 - 2*m. Let p(g) = 73*g + 71*g - 141*g. What is i(p(l))? -3*l Let i(h) be the second derivative of -1/6*h**3 + 0*h**2 + 13*h + 0. Let b(l) = 7*l**2 + l**2 - 4*l**2. Calculate b(i(z)). 4*z**2 Let l = 13 + -10. Suppose -3*i + 11 = l*g - 2*i, 0 = 5*i - 25. Let f(o) = -2*o**2 + 3*o**2 + 2*o**g - 2*o**2. Let p(w) = -2*w**2. Calculate p(f(d)). -2*d**4 Let k(s) = -1016*s - 1. Let j(b) = -78*b + 3. Calculate k(j(u)). 79248*u - 3049 Suppose -4*r - 30 = -2*c, 0 = 5*c + 3*r - 0 - 62. Let n(k) = -c + 33 - k - 20. Let s(m) be the first derivative of 7*m**3/3 - 1. Determine s(n(y)). 7*y**2 Let x(u) = -2*u**2 + 105*u. Let d(q) be the first derivative of -q**2 - 249. Determine x(d(z)). -8*z**2 - 210*z Let o(t) = -10*t**2 - 13*t**2 + 24*t**2. Let r(j) = 13*j + 17. Calculate o(r(b)). 169*b**2 + 442*b + 289 Let y(a) = -3*a**2. Let t = -5 - -7. Suppose -5*f - 2*g = -15, -3*g + 3 = t*f - 3. Let v(n) = n - n + f*n. Give v(y(j)). -9*j**2 Let w(o) be the first derivative of -o**4/12 + 9*o**2/2 + 5. Let u(b) be the second derivative of w(b). Let m(r) = -2*r. Give u(m(z)). 4*z Let m(k) = 11*k + 0*k - 3*k - 7*k. Let b(u) = -4*u + 3. Let i be b(-3). Let v(n) = 5*n - 9*n - i*n. Calculate v(m(s)). -19*s Let k(j) = -2*j**2 + j + 1. Let p(g) = g + 1. Let d(a) = k(a) - p(a). Let s(l) be the second derivative of 7*l**3/6 + 33*l. What is s(d(i))? -14*i**2 Let l(o) = -77355*o + 77355*o - 2*o**2. Let g(q) = -12*q. What is g(l(j))? 24*j**2 Let i(t) = 2*t - 12. Let g(h) = 5*h - 20. Let a(b) = -3*g(b) + 5*i(b). Let v(y) = -7*y. Give a(v(o)). 35*o Let l(t) = 159030*t. Let y(z) = 8*z. What is l(y(u))? 1272240*u Let l(s) = 2*s. Let b(y) = -21*y**2 + 6*y - 3. Let d(g) = -2*g + 1. Let u(w) = b(w) + 3*d(w). Give l(u(o)). -42*o**2 Let m(d) = -d. Let n(l) be the third derivative of 13*l**4/12 + 384*l**2. Calculate n(m(b)). -26*b Let y(k) = 15*k. Let w(d) = 40*d + 65. Let l(u) = 4*u + 6. Let r(c) = 65*l(c) - 6*w(c). Give r(y(o)). 300*o Let x(i) = 5*i. Let d(j) be the third derivative of -j**4/2 - j**3/6 - j**2 + 55. Calculate x(d(t)). -60*t - 5 Let f(d) = 6*d - 116. Let s(y) = -584*y. What is f(s(t))? -3504*t - 116 Let z(a) = -2*a. Let k(m) = -30*m + 2*m + 2*m + 8*m + 6*m. Give k(z(n)). 24*n Let k(r) = r**2. Let c(p) = -195 - 13*p - 10*p - 16*p + 3*p + 38*p. Determine c(k(j)). 2*j**2 - 195 Let p(h) = -2059*h**2 - 7. Let f(c) = -c. Calculate p(f(i)). -2059*i**2 - 7 Let s(f) = 551*f - 4. Let g be s(2). Let c(k) = 2*k + g - 1098. Let u(x) = 17*x. Give c(u(m)). 34*m Let z(k) = -208650*k. Let m(s) = 2*s**2. What is z(m(a))? -417300*a**2 Let k(i) be the first derivative of -6*i**3 + 72. Let j(n) = n**2. What is k(j(o))? -18*o**4 Let q(g) = -116*g. Let h(m) = -m**2 + 4399. What is q(h(w))? 116*w**2 - 510284 Let f(q) be the first derivative of 9*q**2/2 + 35. Let h(k) be the third derivative of k**5/15 - 2*k**2. Determine h(f(b)). 324*b**2 Suppose 3*d - 6 = 3*m, 3*m = -5*d + 11 + 15. Let l(h) = 4*h - d*h - h. Let a(x) = -8*x. Calculate a(l(o)). 8*o Let s(v) = -2*v. Let w = -158 + 80. Let m be 8/6 - w/9. Let y(c) = -6 - m + 4*c + 16. What is y(s(f))? -8*f Let w(n) = 21*n. Let d(j) = -3605*j**2. What is d(w(f))? -1589805*f**2 Let u(x) = -2*x**2. Let b(d) = -94177*d**2. Give b(u(m)). -376708*m**4 Let g(b) = -4*b**2. Let d(u) be the third derivative of -u**5/40 + u**3/2 - 2*u**2. Let n(p) be the first derivative of d(p). What is g(n(l))? -36*l**2 Let h(y) = 397*y. Let f(i) = 575*i. Give h(f(w)). 228275*w Let i(j) = j - 4. Let s(u) = -u + 3. Let z(a) = 3*i(a) + 4*s(a). Let y(d) = -19*d + 4. Let q(k) = 988*k - 209. Let n(x) = 4*q(x) + 209*y(x). Calculate z(n(w)). 19*w Let o(d) = 2*d + 27. Let w(i) = 2498*i**2 - 4993*i**2 + 2505*i**2. Calculate o(w(x)). 20*x**2 + 27 Let x be (80/(-8) - -10)/(-1). Let y(d) be the second derivative of 0*d**2 + x + 7*d - 1/2*d**3. Let f(j) = -10*j. Determine f(y(a)). 30*a Suppose -2 - 6 = -4*g. Let h(n) = 2*n - 3*n + g*n. Let j(x) = 10*x**2 - 12*x + 9. Let s(r) = -59*r**2 + 68*r - 51. Let u(q) = 17*j(q) + 3*s(q). What is u(h(d))? -7*d**2 Let s(y) = -10*y**2 + 24*y + 2. Let i(l) = -2*l**2. Determine s(i(f)). -40*f**4 - 48*f**2 + 2 Let j be -20*(-4 + 36/10). Let k(o) = -j*o + 6*o + 0*o. Let m(b) = 10*b**2. What is m(k(v))? 40*v**2 Let v(t) = -13*t - 3. Let n(u) = -54*u - 11. Let d(x) = 2*n(x) - 9*v(x). Let s(c) = 2*c. Calculate s(d(p)). 18*p + 10 Let w(x) = -4*x. Let f be (0 + 0 + 0)/2. Let r(a) = f + 3 + 3 - 5. Let v(g) = g**2 - 5. Let p(c) = 5*r(c) + v(c). What is w(p(z))? -4*z**2 Let a(m) = 6*m - 8. Let x(g) = -1985*g. Give x(a(v)). -11910*v + 15880 Let o(j) = 2*j**2. Let g(t) be the first deri
{ "pile_set_name": "DM Mathematics" }
5*q + 2733, -13*q + 2733 = 3*j - 9*q. What is the remainder when j is divided by 24? 23 Suppose 116*n - 78641 = 97*n. What is the remainder when n is divided by 180? 179 Suppose -6*n + 9*n = 135. Suppose 253 = 2*l - 99. What is the remainder when l is divided by n? 41 Let l(a) = -3*a**3 - 11*a**2 + 10*a - 14. Let x be l(-9). Suppose -9*b = -b - x. What is the remainder when b is divided by 25? 24 Suppose -26*n + 12*n + 1042 + 596 = 0. Calculate the remainder when n is divided by 35. 12 Let x(f) = -f**2 - 29*f + 37. Let u be x(-14). Let w = 248 - u. What is the remainder when 3 is divided by w? 0 Suppose 5*w + 38 = 2*w + 2*a, 46 = -5*w - a. Let y be 1/(-2) - w/4. Suppose 165 = y*q + 3*q. What is the remainder when q is divided by 12? 9 Let k = 5182 + -2305. What is the remainder when k is divided by 18? 15 What is the remainder when 1*(-1)/2 - (0 - 1991/2) is divided by 44? 27 Let t = -46367 - -46415. Suppose -5*a + 5*w + 65 = 0, w - 20 = -2*a - 3*w. What is the remainder when t is divided by a? 0 Suppose 0 = -4*o - o + 265. Let n = o + -14. Suppose -4*s + 50 = k, 4*s - 115 = 3*k - 41. Calculate the remainder when n is divided by s. 11 Let s(p) = p**3 + 25*p**2 + 22*p - 23. Let n be s(-24). Let v(i) = i**2 - 14*i - 22. Calculate the remainder when v(n) is divided by 51. 49 Let j be (4/8)/((-1)/(-2)). Suppose -w - j + 16 = 0. What is the remainder when 37 - 43 - (1 + -66) is divided by w? 14 Let l = -3525 + 3574. What is the remainder when 2250 is divided by l? 45 Let k(x) = 72*x + 530. What is the remainder when k(-7) is divided by 26? 0 Suppose -288*v = -289*v - 6, 3*i - v - 204 = 0. Calculate the remainder when 234 is divided by i. 36 Suppose -18*i + 40 + 8 = -6*i. What is the remainder when 358 is divided by i? 2 Suppose -4*d + 326 = 3*z, -2*z - 134 = -3*z + 5*d. Let n(g) = -7*g + 71*g**2 + 19*g + 69*g**2 - 141*g**2. What is the remainder when z is divided by n(10)? 14 Let f(h) = -2*h - 30. Let l be f(-15). Suppose 25*z - 3*j + 1 = 24*z, l = -4*j + 20. Calculate the remainder when 67 is divided by z. 11 Let j(i) = -i**3 + i**2 + 108. Suppose v + a - 50 = 0, -26*v + 36*a + 701 = -21*v. What is the remainder when j(0) is divided by v? 47 Suppose -11*y = y - 36. Suppose 0 = 3*k + y*g, 0 - 4 = -4*k - 2*g. Calculate the remainder when (240/32)/(1 - 1/k) is divided by 9. 6 Let c = 83 + -20. Suppose 10*v - 903 - 947 = 0. Suppose -20*d + v = 25. Calculate the remainder when c is divided by d. 7 Let a = -170 + 194. Calculate the remainder when 131 is divided by 6 + -1 - a/(-4). 10 Let s = 734 - 700. Calculate the remainder when s is divided by ((-2)/(-3))/((-2)/(-27)). 7 Let v be 2/7 + (-24)/(-14). Let q be 12/(-18) - (6430/(-3))/v. Suppose 22*m - q = 5*m. Calculate the remainder when m is divided by 22. 19 Suppose -t = -q + 1021, 4*t - 6022 = -2*q - 3980. Calculate the remainder when q is divided by 151. 115 Suppose 2*p + o = 2*o + 13, -4*p = 3*o - 11. Suppose -92 = -p*s - 7. Calculate the remainder when 628 is divided by s. 16 Calculate the remainder when 1706 is divided by 3 + 14/8*196 - (7 - 1). 6 Let b = 214 - 145. Suppose -23 + 83 = 12*y. Suppose 0 = -6*q + y*q + 8. What is the remainder when b is divided by q? 5 Let i = -68 + 71. Suppose i*u = -2*u + u. Suppose 10 = 2*v - u. Calculate the remainder when 13 is divided by v. 3 Let v(p) = p**3 - 17*p**2 - 10*p - 131. Suppose 94 = 4*b + 2*h + 16, -5*b - 4*h + 99 = 0. What is the remainder when v(b) is divided by 15? 11 Let y = -256 + 261. Suppose 24 = p - 2*m, 0 = y*p - 0*p + m - 164. Calculate the remainder when 94 is divided by p. 30 Let u be 4*18/8 - -15. Calculate the remainder when (3430/u - 18/72)*3 is divided by 72. 68 Let p = 3725 + -3709. What is the remainder when 783 is divided by p? 15 Let k(n) = 2*n**2 + 6*n - 5. Let h be k(-4). Suppose -h*b + 432 = 5*b. What is the remainder when b is divided by 41? 13 Suppose 4*r - 4*z = 235 + 697, -5*r + 4*z + 1168 = 0. Calculate the remainder when r is divided by ((-4)/(-10) - (-54)/(-10))*-8. 36 Suppose 0 = -2*s + r + 1182, -s + r + 605 = 4*r. What is the remainder when s is divided by 75? 68 Suppose 3*j - 18*l + 21*l = 216, j = 4*l + 52. What is the remainder when 301 is divided by j? 29 Suppose -248*b + 393 = -234*b - 111. What is the remainder when 236 is divided by b? 20 Suppose 28*x + 78 = 31*x. Suppose 0 = -3*v + g + x, 3*v - 7*v - g + 37 = 0. Suppose -7*y + 2*y + 250 = 0. What is the remainder when y is divided by v? 5 Let n be (-60)/(-3)*128/80. Calculate the remainder when 112 is divided by 6/(-8) + (1240/n)/1. 36 Suppose -63*x + 17029 + 73017 = 2917. Calculate the remainder when x is divided by 73. 69 Let g(k) = -k**2 - 127*k - 22. Let o(r) = 43*r + 8. Let v(z) = 2*g(z) + 7*o(z). Calculate the remainder when 115 is divided by v(23). 10 Suppose -8*p + 3*i + 399 = -3*p, 5*i = -p + 63. Suppose 3*s - 9 = 3. Suppose s*b - 10 - 102 = 0. What is the remainder when p is divided by b? 22 Suppose 7*q = 5*q + 14. Let s(z) = -3*z. Let t be s(0). Let u = t + q. What is the remainder when u is divided by 4? 3 Suppose -39*n = -36*n - 90. Let o = n - -2. Suppose 2*a + j = 14, -4*a = -a - 4*j - 21. Calculate the remainder when o is divided by a. 4 Suppose 3*j + 213 = -4*w + 2*j, -3*w - 161 = 2*j. Let b = 61 + w. Let p(u) = u**3 - 9*u**2 + 12*u - 5. What is the remainder when p(b) is divided by 10? 7 Suppose 8 - 16 = -m + 2. What is the remainder when 1264 is divided by m? 4 Let w(h) = -3*h - 6. Let o(v) = v - 1. Let k(b) = 5*o(b) + w(b). Suppose r - 16 = -2*y - r, -4*y = 5*r - 37. What is the remainder when k(11) is divided by y? 2 Suppose -5*a + 8 + 7 = 0. Suppose 0 = y - 2*y - 2*w + 1, a*y - 4*w = 3. What is the remainder when 88 is divided by (y - 11/(-7))/((-8)/(-56))? 16 Let r = -234 - -40. Let z = -33 - r. Calculate the remainder when z is divided by 41. 38 Let v be (-3 - 183/9)/((-1)/3). Suppose 3*p - 5*w = 58, 2*w = 4*p - w - v. Suppose 3*m - 24 = -m. Calculate the remainder when p is divided by m. 4 Let g = -3 - -69. Suppose -13*i + 118 = 4*d - 10*i, -5*d + 146 = 3*i. Calculate the remainder when g is divided by d. 10 Suppose 0 = -44*d + 30*d + 112. Suppose 5*o = 79 + 251. Let t = o + -35. What is the remainder when t is divided by d? 7 Suppose 4*u - 6 = -3*h, -h - 2 = -2*h. Suppose u = -14*g + 13*g + 68. What is the remainder when g is divided by 56? 12 Let h = 18902 + -18777. Calculate the remainder when h is divided by 27. 17 What is the remainder when (-6 + (1 - -1))*74/(-8) is divided by -1 - (-21 - -22)*(6/2 - 8)? 1 Let o = -8576 + 8748. What is the remainder when 1203 is divided by o? 171 Suppose 36 = 2*p - 10. Calculate the remainder when p is divided by 20 - ((-23)/(-3) - 300/180). 9 Suppose 6*f - 5 = t + f, -5*t - 4*f = -33. Suppose 4*p + 1 = t*p. Suppose -5*r + 81 = p. What is the remainder when 43 is divided by r? 11 Suppose 5*c - j = 260 + 175, 0 = -4*j. Let l = -8061 - -8076. Calculate the remainder when c is divided by l. 12 Let u be (7/(-2))/(9/36). Suppose -2*i + 3*i - 26 = 0. Let w = i + u. What is the remainder when 46 is divided by w? 10 Suppose -756 = d + l - 824, -2*d + l = -148. Calculate the remainder when (-5379)/(-15) - 4/(-10) is divided by d. 71 Let y(i) = -58*i - 1258. What is the remainder when y(-28) is divided by 32? 14 Let v = 282 - 277. Suppose -21 + 9 = 4*m, -2*m - 236 = -v*d. Calculate the remainder when 733 is divided by d. 43 Suppose -149*q - 773 + 9713 = 0. What is the remainder when 4858 is divided by q? 58 Let d(n) = 2*n**2 + 24*n - 21. Let j be 2 - 1 - 2 - 1*-1. Suppose j*k + 4*k + 47 = -5*g, -3*k - g = 38. Calculate the remainder when 27 is divided by d(k). 2 Suppose q - 2 = -b + 1, b - 9 = q. Suppose 2*r - n + 105 = b*r, 3*r = -4*n + 69. Suppose -f - 3*f + 412 = 0. What is the remainder when f is divided by r? 22 Let c(o) = 2*o**3 - 2*o**2 - 31*o + 75. What is the remainder when c(4) is divided by 17? 13 Let y = 1104 - 1063. Suppose 5*i - 4*s = -0*s + 44, 0 = 3*i + 5*s - 19. Suppose 4*v + 60 = i*v. What is the remainder when y is divided by v? 11 Let i(q) = -3*q**3 + 21*q - q + 29*q - q**3 - 47*q. Suppose 2 = -5*j - 3. Calculate the remainder when 15 is divided by i(j). 1 Let s be 6 + (-1)/(-4)*-4. Suppose 2*a - 2*y - 62 = 3*y, -5*y - 125 = -s*a. What is the remainder when 100 is divided by a? 1
{ "pile_set_name": "DM Mathematics" }
0.06 -0.54 What is the product of 1 and -191.7? -191.7 Multiply -1 and 4.5. -4.5 Work out 0.44827 * 0.2. 0.089654 Product of 6247 and 4. 24988 9 * 88 792 What is -375 times -3? 1125 Calculate 14012*-3. -42036 Multiply 209 and 3. 627 -314*0.5 -157 Calculate 8*-421. -3368 -0.2 times 0.106 -0.0212 Multiply -0.1 and 171. -17.1 What is -0.41 times 0.03? -0.0123 What is the product of -2 and -0.632? 1.264 Calculate -91*4. -364 Calculate 0.8*-0.3. -0.24 -0.018 * -8 0.144 115*160 18400 -0.0952 times 3 -0.2856 What is 5 times -69? -345 -12140 times 0 0 Multiply 35919 and -0.4. -14367.6 Calculate -11.2*-4. 44.8 What is 0.2 times -875? -175 Work out 0.211 * 14. 2.954 Work out -0.027 * -0.04. 0.00108 What is the product of -0.08 and 168? -13.44 What is 2 times -0.7? -1.4 3 * 10.25 30.75 Multiply 3.2 and 2. 6.4 0.4 * 0.022 0.0088 Calculate -0.4*-2912. 1164.8 -0.2 times -0.571 0.1142 1817*5 9085 Calculate -18*8. -144 -0.03 times 14 -0.42 Multiply 0.3 and -0.848. -0.2544 Work out -0.03 * -1595. 47.85 Product of -3 and 1322. -3966 -0.42 times -7.6 3.192 -0.43 times -0.05 0.0215 Calculate -15.744*0.5. -7.872 5*-0.1 -0.5 Multiply 5 and -1120. -5600 4 times 0.47 1.88 -199.2 times -0.2 39.84 What is the product of 431 and -0.1? -43.1 What is the product of -0.09 and -0.34? 0.0306 Calculate 0.5*40. 20 -1*-0.049 0.049 Multiply 0.06 and 70. 4.2 -22339 * 0.3 -6701.7 Product of 0.0991 and -0.1. -0.00991 Product of -0.59 and 0.3. -0.177 Product of 0 and 78. 0 What is 0.1 times -0.23? -0.023 -1 times 104 -104 Calculate 0.0139*8. 0.1112 Multiply -1280 and -6. 7680 Calculate -4*1.04. -4.16 -1 * -5.7 5.7 Work out -3 * -57. 171 Product of 2.713 and -0.2. -0.5426 977 times 0.9 879.3 Calculate 5.832*-2. -11.664 Work out 0.29 * 26. 7.54 Work out 20 * -0.71. -14.2 Multiply 0.3 and 117. 35.1 Work out -55 * -160. 8800 Product of -1 and -4187. 4187 What is 0.414 times 0.4? 0.1656 Multiply -5.0183 and 4. -20.0732 Product of -2413 and 5. -12065 Product of -2 and -0.04258. 0.08516 Work out 1.25 * -0.1. -0.125 Work out -12.207 * -2. 24.414 -1.3*22 -28.6 Calculate -1.5*0.5. -0.75 Calculate -0.1*1.78. -0.178 -45 times 1.2 -54 -1083*0.1 -108.3 Product of -28 and 268. -7504 Multiply -12 and -159. 1908 What is 3 times -9.76? -29.28 What is the product of -2 and 4.83? -9.66 -251 * 1 -251 Work out 523 * -2. -1046 Calculate -0.26*47. -12.22 Calculate -0.04*0.81. -0.0324 Multiply -0.16095 and -0.3. 0.048285 1.4 * -1.67 -2.338 Product of 0.4 and -0.013. -0.0052 Product of 192 and -0.05. -9.6 4 times 374 1496 What is the product of -2 and 17.5? -35 Work out 2 * 10.6. 21.2 Product of -0.1 and 179. -17.9 Multiply 0.246 and 2. 0.492 Multiply 2.585 and -5. -12.925 Calculate 0.12*-2985. -358.2 1.9 times -3.65 -6.935 What is -454.5 times -5? 2272.5 What is the product of 0.2 and 2.954? 0.5908 -0.4 times 356 -142.4 -386 * -2 772 Multiply -12 and -219. 2628 What is -4 times 21.4? -85.6 What is -5 times -1.56? 7.8 -0.4 times -1.481 0.5924 What is the product of -0.05 and 0.293? -0.01465 Calculate 0.04*-25.4. -1.016 Multiply -0.0464 and -0.4. 0.01856 Product of -190 and -0.2. 38 Multiply -0.5 and 84. -42 0.03*-2686 -80.58 2*-7.4 -14.8 What is the product of 0.3 and 24.9? 7.47 Work out 12 * 0.39. 4.68 Work out -4 * -0.24. 0.96 Calculate -65*-95. 6175 What is 620 times -2? -1240 -2.21*-0.024 0.05304 64 times -67 -4288 Calculate -0.2*-0.06378. 0.012756 Product of 3082 and 4. 12328 Product of -0.5 and -0.007. 0.0035 Calculate -0.5*1134. -567 What is the product of -2 and -12? 24 Work out 0.6 * -470. -282 Work out -39 * 142. -5538 What is the product of -18 and 6.5? -117 Multiply -333 and -0.5. 166.5 Product of 12873 and -3. -38619 What is 0.05 times 0.37? 0.0185 -0.3802 * 2 -0.7604 Calculate -3*1.8. -5.4 What is -3 times 0.0895? -0.2685 Product of 0.06934 and -3. -0.20802 What is the product of 0.083 and 13.9? 1.1537 -1177 times 0.3 -353.1 2.3 * -16 -36.8 -0.11 * -2 0.22 -0.3 * 0.69 -0.207 What is 3 times 0.08? 0.24 What is the product of 0.3 and 25? 7.5 -0.06 * -3.15 0.189 Product of 2 and 195. 390 What is -0.1 times 469? -46.9 Calculate -5*1765. -8825 -0.679 * -4 2.716 -8 times -0.2 1.6 What is -0.264 times 0.4? -0.1056 What is the product of 0.2 and -200? -40 6*122 732 Product of -88.7 and -0.1. 8.87 What is the product of -4643 and -0.4? 1857.2 What is the product of 4 and -3.54? -14.16 What is the product of -0.0148 and 0.5? -0.0074 Work out 2.7 * 0.048. 0.1296 What is the product of 0.5 and 0.04? 0.02 -3 * 18 -54 -0.75 times 9 -6.75 -0.01 times 124 -1.24 What is -0.8 times 0.15? -0.12 What is -163.3 times 0.02? -3.266 0.5 * -64 -32 What is the product of 1644 and -4? -6576 Product of 1764 and 5. 8820 -0.312*-22 6.864 What is 2 times 38? 76 0 times -405 0 Work out -80 * 0.5. -40 -0.0265*-3 0.0795 What is -0.5 times -0.284? 0.142 What is the product of 2768 and 1? 2768 What is 106.05 times -0.3? -31.815 What is the product of 0.1 and 0.16? 0.016 68.2*-0.01 -0.682 What is the product of -0.1 and -0.1416? 0.01416 Multiply 205 and -0.3. -61.5 What is 1.05 times 156? 163.8 Product of 11 and 3.4. 37.4 What is the product of -3.42 and 0.4? -1.368 613*-2 -1226 Product of 3.4 and 9. 30.6 Product of -1 and 703. -703 Work out -51.9 * 4. -207.6 What is 4910 times 0.2? 982 Work out 4 * 11. 44 What is 4.13 times 2? 8.26 -0.3*-6337 1901.1 What is the product of 11 and 25? 275 Calculate -3065*0.4. -1226 -11 * 0.02 -0.22 What is 286 times -0.3? -85.8 Work out -46 * -12. 552 -0.08 times -10 0.8 -3 * -122 366 259 times -0.4 -103.6 Calculate 0.5*-423. -211.5 What is the product of -42 and 0.04? -1.68 Calculate 3*107. 321 Product of 5 and -28. -140 Calculate -0.0415*4. -0.166 1.25 * -13 -16.25 2 times 107 214 Calculate -981.6*-5. 4908 -0.03 times -2432 72.96 Work out -0.5 * 94.1. -47.05 Product of -6443 and 0.4. -2577.2 -0.4*-5081 2032.4 What is the product of -2.6 and -2? 5.2 Multiply -1121 and 0.05. -56.05 Multiply 4 and -0.583. -2.332 0 times 3211 0 Multiply 0.5 and -344.9. -172.45 Calculate -1.76*-0.3. 0.528 Work out 5 * -0.4. -2 Calculate -975*-0.3. 292.5 6*1712 10272 Product of 0.9 and 148. 133.2 What is the product of -0.3 and 0.051? -0.0153 Work out -0.4 * 722. -288.8 Calculate -241*0.5. -120.5 Calculate -0.3*0.038. -0.0114 Calculate 0.4*5350. 2140 -2*2.6 -5.2 Work out -5 * 2.24. -11.2 Product of 223 and 0. 0 -0.58 * 0.17 -0.0986 636 times 0 0 -151 * 0.01 -1.51 Multiply 0.196 and -5.4. -1.0584 Work out -21 * -1.1. 23.1 Calculate 1.114*5. 5.57 Multiply -0.4 and -0.4. 0.16 Work out 2 * -28. -56 106.1*5 530.5 Multiply 3 and 0.1761. 0.5283 0.1 times -1591 -159.1 What is 3.28 times 0.4? 1.312 Multiply -2033 and 0.2. -406.6 -116*-3 348 What is the product of -287 and 5? -1435 What is 1.1 times -10? -11 Work out 1.31 * 0.1. 0.131 Multiply 1.01 and -0.089. -0.08989 3*-41 -123 0.13 * 2 0.26 What is -1 times 93? -93 Product of 1 and -60. -60 Calculate 89*-21. -1869 Calculate -12.6*14. -176.4 -4 * 298 -1192 Multiply 1721 and -1. -1721 Product of -38.901 and -0.1. 3.8901 Multiply 3.3 and -0.0847. -0.27951 16*71 1136 Product of -0.1 and 2.634. -0.2634 Work out -345 * -0.1. 34.5 -0.05 times -41 2.05 What is 40 times 0.3? 12 Calculate 0.416*20. 8.32 Multiply 5 and -0.69. -3.45 15 * -0.13 -1.95 1.9 times 0.1 0.19 Calculate 0.2108*-2. -0.4216 Product of 17 and -56. -952 8 * 0 0 What is the product of -0.1 and -256? 25.6 15.09 times -4 -60.36 What is the product of -767 and -1? 767 0.3*0.01 0.003 Product of -4.5 and -0.5. 2.25 Multiply 0 and -0.151. 0 0.0911 * 4 0.3644 Work out -0.097 * -0.02. 0.00194 What is the product of -0.2 and -0.009? 0.0018 -0.5984 * 4 -2.3936 Product of 198 and -2. -396 -0.5 * -47 23.5 Multiply 812 and 0.03. 24.36 Calculate -2.2*-34. 74.8 0.1*1447 144.7 Product of 0.01 and 0.01. 0.0001 Work out 4 * -1910. -7640 0.2 times -73 -14.6 Work out 0.4 * 0.128. 0.0512 3*-0.239 -0.717 161 * -5 -805 What is -0.5 times -18? 9 Calculate 113*1.94. 219.22 What is the product of 0.226 and -0.5? -0.113 -0.0658*-4 0.2632 Product of -0.2 and 0.0174. -0.00348 What is -4.5 times 0.2? -0.9 -1 times 1.1 -1.1 Work out 7 * -1.4. -9.8 What is the product of -11.7 and -0.037? 0.4329 Multiply -31975 and 2. -63950 -32 times 20 -640 Product of -21.8 and -5. 109 27.4 * 5 137 What is the product of 129 and -0.01? -1.29 -5881 times -2 1
{ "pile_set_name": "DM Mathematics" }
Expand (-2*d + 4*d + 0*d)*(d - d + 5*d + (-d + d - d)*(3 - 2 - 3)). 14*d**2 Expand -10*n + 11*n - 16*n + (-4 + 1 + 2)*(-5*n + n + 2*n). -13*n Expand (5 - 2 + 0)*(7 - v - 7 + (3 - 2 + 0)*(-1 - v + 1))*(-4*v + 5*v - 2*v). 6*v**2 Expand -3 + 2*d + 3 + (1 - 2 + 0)*(-d - 2*d + 2*d) - d + 10*d + 21*d. 33*d Expand (-116*m**2 + 4 + 10*m + 81*m - 92*m)*(1 - 1 + m). -116*m**3 - m**2 + 4*m Expand 2*y**2 + 4*y - 4*y + 6*y**2 - 3*y**2 - 4*y**2 + (2 + 0 + 0)*(-44 + 19*y**2 + 44) - 5*y**2 + 2*y**2 + 4*y**2. 40*y**2 Expand (72*x - 124*x - 100*x)*(-4*x**4 + 2*x**4 + 5 - 4). 304*x**5 - 152*x Expand (-2*f**3 + 2*f**3 - 4*f**3)*(6*f**2 - 16*f**2 + 3*f**2)*(-2 + 4 - 1)*(1 + 2 - 4). -28*f**5 Expand 3*z**5 - 3*z**5 + z**5 + (z**3 + 2*z**4 - z**3)*(-z + 3*z - z) - 3*z**2 - 2*z**5 + 3*z**2 + 169*z**5 + 134*z**5 - 188*z**5. 116*z**5 Expand (-f + f - 2*f**2)*(0 + 1 + 1 + (1 + 1 + 0)*(6 - 4 - 3) - 6 + 4 + 4 + 35 - 102 - 111). 352*f**2 Expand (-8*c**3 - 8*c**3 + 15*c**3)*(-5 + 6 + 3)*(-6 + 10 + 2) - 2*c**3 - c**3 + 5*c**3. -22*c**3 Expand (-8*q**2 + q**4 + 8*q**2)*((-3 + 10 + 6)*(0*q - 2*q + 5*q) + q + 3*q - 2*q). 41*q**5 Expand (0 + 0 - 3*z)*(0*z + 0*z - 2*z**2) + (z + 4*z - 4*z)*(70*z**2 - 112*z**2 + 55*z**2). 19*z**3 Expand (19 - 3 + 2)*(6*t - 3*t - 4*t). -18*t Expand (3*l - 2*l - 2*l)*(-5*l**2 + 0*l**2 + 3*l**2) + 0*l**3 + 3*l**3 - 6*l**3 - 2*l**2 + 22*l**3 - 4*l**3 + 2 - 7*l**2. 17*l**3 - 9*l**2 + 2 Expand (-5*r + 3*r + 3*r + (-1 + 1 - 1)*(0*r - r - r) - 6*r + 2*r - 4*r - r - 1 + 1 - r + 0*r - r + (0 - 1 + 0)*(0 + 0 - r))*(-2 - 1 + 4). -7*r Expand -11*x + 3*x - 11*x + (6 - 3 - 2)*(3*x + 3*x - 9*x). -22*x Expand -2*t**4 + 1 - 1 + (-t + 1 - 1)*(t**3 - 1 + 1) - t**4 + 3*t**4 - 4*t**4 - 4*t**4 - t**4 + 2*t**4 + 2357*t - 2357*t + 68*t**4 + t**3. 60*t**4 + t**3 Expand (0*n + 5*n + 7*n)*(0*n + n - 2*n) - n**2 - 2*n**2 + 0*n**2 + (-3 + 1 + 1)*(-n**2 + 6*n**2 + 0*n**2) + 0*n**2 - 2*n**2 + n**2. -21*n**2 Expand -3*l**4 - l**4 + 3*l**4 + (3*l - 3*l + l**4)*(-1 + 5 - 2) + l**4 - 2*l + 2*l - 7*l**4 + 17*l**4 - 4*l**4. 8*l**4 Expand -6 + 3*r + 6 + 2*r - 3*r + 3*r + 3*r - 2*r - 3*r + (-5*r + r + 2*r)*(-3 + 3 + 1) + 19 - 19 - r + 0*r + r + 6*r. 7*r Expand 150*t**2 + 192*t**2 - 91*t**2 + 2*t**2 - t**2 - 2*t**2 + (2*t - 2 + 2)*(0*t + t - 2*t). 248*t**2 Expand (2 - 4*l - 2)*(-2*l + 4*l - 3*l)*(-1 + 7 + 10). 64*l**2 Expand (5*s**3 + 15*s - 15*s)*((3*s - 7*s + 2*s)*(-9 + 9 + 4*s) - s**2 - 10*s + 10*s). -45*s**5 Expand (-3 + 3 - 2*s + (3 - 3 + 1)*(2*s - 6*s + 2*s) - s + s - 2*s - s + 0*s - s)*(-49 - 52 + 80). 168*s Expand 0*b + 3*b - 2*b + (-b - 3 + 3)*(-45 + 19 - 17). 44*b Expand 22*b + 28*b**3 - 39*b + 20*b + (-b - b + b)*(b**2 + 3*b - 3*b). 27*b**3 + 3*b Expand 4*p + 8*p - 5*p - p - 3*p + 7*p - p + 2*p - 2*p + (5 - 6 - 1)*(-3*p + 0*p + 2*p) + 0*p + 0*p - p. 10*p Expand (-1 - 1 - 1)*(3597 - 3597 + 69*f). -207*f Expand (-2*p**2 + 3*p**2 - 2*p**2)*(5 + p**2 - 5)*(25 + 7 + 4) - 2*p**2 + 4*p**4 + 2*p**2 + (-2*p + 3*p + 0*p)*(2*p**3 + 3*p**2 - 3*p**2). -30*p**4 Expand (1078*s**2 - 1078*s**2 - 74*s**3)*(11*s**2 + 8*s**2 - 3*s**2) - 2*s**5 - 3 + 3 + (2*s**2 - 4*s**2 + 0*s**2)*(3 + s**3 - 3). -1188*s**5 Expand ((2 - 2 + v)*(2 + 2*v**2 - 2) + (0 + 0 + 2*v**2)*(-v + 2*v + v))*(-12*v - 30*v + 11*v**2 - 9*v**2). 12*v**5 - 252*v**4 Expand -m + m + m**5 + (-4 + m**2 + 4)*(-7*m**3 + 6*m**3 - 8*m**3) + m**5 + 9672*m**2 - 9672*m**2 + 17*m**3. -7*m**5 + 17*m**3 Expand 0*s**5 + 5*s**5 - 2*s**5 + (-4*s**4 + 0*s**4 + 3*s**4)*(s + 0*s - 2*s) + 949*s**4 - 949*s**4 + 4*s**3 - 10*s**5. -6*s**5 + 4*s**3 Expand (34 - 44 - 103)*(3 + 1 - 3)*(4*n + n - 2*n). -339*n Expand (n + 2*n - 4*n)*(-n**2 + 4*n**2 - n**2) - 8 - 47*n**3 + 125*n**3 - 57*n**3. 19*n**3 - 8 Expand (0*b**2 - 2*b**2 + 0*b**2)*(215 + 22*b - 215) - 2*b**3 + b**3 + 0*b**3 + 2*b**3 + 2*b - 2*b. -43*b**3 Expand (-5*g + g + 3*g)*(0 + 0 - g**2) + (0*g - g + 4*g)*(13 - 2*g**2 - 13). -5*g**3 Expand (-2*u**2 + u**2 - 2*u**2)*((u - u - 2*u)*(-4 + 5 - 3) - 2*u - 14*u + 3*u + (-u + 3 - 3)*(3 - 4 + 3)). 33*u**3 Expand (2 + 3 - 4)*(79*l + 1066 - 1066) + l - l + 2*l + (l + 4*l - 4*l)*(3 + 1 - 5). 80*l Expand -196*i**5 - 3*i + i + 195*i**5 + (0*i**3 + 2*i**3 + 0*i**3)*(-1 + 2*i**2 + 1) + 0*i + 0*i - 2*i**5. i**5 - 2*i Expand (-5 + 1 - 4)*(-2*k - 2*k + 5*k)*(-k**4 + 0*k**4 - 5*k**4). 48*k**5 Expand (-7*l - 3*l + 3*l)*(1 - 2*l - 1) + (-l - 2*l + l)*(-2*l + 4*l - l) - 9*l + 9*l - 3*l**2. 9*l**2 Expand (-17 + 17 - 7*a)*(1 + 6*a**3 + 8*a**3 - 2*a**3). -84*a**4 - 7*a Expand (-10*w + w - 4*w)*(-75 - 73 + 32). 1508*w Expand (-2 + 1 + 2*o - o)*(-55 + 13*o + 55) - 11 - 5*o**2 + 11. 8*o**2 - 13*o Expand (-1 + 0 - 9 + 1 + 3 - 2 + (4 - 4 - 2)*(-1 + 0 + 2))*(-2*o**4 + 3*o**4 - 6*o**4). 50*o**4 Expand 92*h - 6537 + 6537 - h + 4 - 4 + (-2*h + 2*h - h)*(-2 + 0 + 3) - h + h - h - 2*h + 4 - 4 + h - h - 2*h. 85*h Expand (0*b + 0*b - b)*(-8 + 8 - 5*b) + (3 + 0 - 4)*(2*b**2 - 4*b**2 + 3*b**2) - 171 + 171 + 11*b**2. 15*b**2 Expand (-q**3 - q**3 + 0*q**3)*(-5*q**2 + 5*q**2 + 2*q**2) - 392*q**3 + 40*q**5 + 387*q**3 - 38*q**5 + 13. -2*q**5 - 5*q**3 + 13 Expand (2 - 5 + 2)*(-c**2 + 0 + 0) + 19*c + 1024*c**2 - 16*c - 3*c + 2526*c**2. 3551*c**2 Expand (-i + 36 - 9*i + 12*i)*(0*i**3 + 3*i**3 - 4*i**3). -2*i**4 - 36*i**3 Expand (-i + i**3 + i)*(-1 + 0 + 3) + (-i**3 - 3*i**3 + 2*i**3)*(4 - 6 - 1)*(4 + 8 + 8). 122*i**3 Expand (-3072*u**2 - 14*u - 13*u + 3076*u**2)*(2*u**2 - 2*u**2 + 2*u**3). 8*u**5 - 54*u**4 Expand (4*m**2 + 8*m**2 - 8*m**2)*(5*m - 2*m + 5*m). 32*m**3 Expand (0*h**3 + 2*h**3 + 0*h**3)*(-1 - 125*h - 74*h + 152*h). -94*h**4 - 2*h**3 Expand (-26*l - 25*l + 57*l + 3)*(0 + 3 - 2)*(-2*l**3 + 3*l**2 - 3*l**2). -12*l**4 - 6*l**3 Expand (-s**4 - s**4 + s**4 + (0 - 1 - 2)*(2*s**4 + 4*s**4 - 5*s**4))*(-1 - 2 + 7 + (0 + 2 - 1)*(1 + 4 - 3)). -24*s**4 Expand (-v - 3*v + 3*v)*(4*v - v + 3*v) + 0*v**2 + v**2 - 2*v**2 + (2*v + 22 - 22)*(v - 4*v + 5*v + (-v + 2*v + 0*v)*(-2 + 1 - 1) - 4 + 4 - 2*v + 7 - 2*v - 7). -15*v**2 Expand -22*s - 39*s + 14*s + (-3 + 2*s + 3)*(-1 + 1 + 1) + 2*s - 2*s - s + 2*s - 3*s + 0*s. -47*s Expand (5*t - 2*t - t + (-4*t + t + t)*(-57 - 11 - 2))*(19*t**3 + 160*t**2 - 160*t**2). 2698*t**4 Expand (3*y**2 - 21*y**2 + 10*y**2)*(-4 + 2 + 4) + (0 + 4 + 1)*(-3*y - 2*y**2 + 3*y). -26*y**2 Expand ((2 - 1 - 2)*(-5 + 5 - b) - 3*b + b - 5*b)*(0 + 0 + 2) + (2 + 1 - 1)*(2*b - 4*b + 3*b) + 0*b + 2*b - b. -9*b Expand -3*v**5 + 15*v**5 - 7*v**5 + (6*v**2 - 3*v**2 + 2*v**2)*(-2*v**3 + 3*v**3 + 0*v**3) + v**5 + 2 - 2 + v**5 - 4*v**2 + 4*v**2. 12*v**5 Expand (m**4 - 3 + 3)*(-m + 0*m + 0*m) + 0*m**5 + 21*m**3 - 12*m**5 - 22*m**3. -13*m**5 - m**3 Expand (11 + 0 + 12)*(2 - 2 - 6*r)*(3*r**4 + 4*r**4 - 6*r**4). -138*r**5 Expand (-b + 3*b + 0*b)*(-2 + 5 + 0)*((0 + 0 - 1)*(-1 + 3 + 0) - 1 - 3 + 2 + 104 + 19 - 17 + 1 - 3 + 0 + (2 - 3 + 0)*(-3 + 0 + 5) + 2 - 5 + 4 - 1 + 0 + 3). 606*b Expand (6*v - 3*v + v)*(6*v - 5*v + 3*v)*(-5820 + 5820 + 14*v). 224*v**3 Expand (-4 - 1 + 3)*(7*v**2 - v**2 - v**2)*(27*v + 129*v - 60*v)*(2*v - 2*v + 2*v**2). -1920*v**5 Expand (313*z**2 + 251*z**3 - 313*z**2)*(2 + 0 + 0). 502*z**3 Expand (0 - 2 + 0)*((o**2 - o**2 + o**2)*(o + 0*o + 0*o) - 71*o**3 - 183*o**3 + 47*o**3). 412*o**3 Expand (-d + 2*d - 3*d)*(3*d**3 - 3*d**3 - 2*d**3) - 3*d + 3*d - 2*d**4 + 0*d + 2*d**4 + 0*d + (-5*d**2 - d**3 + 5*d**2)*(3*d - 19*d + 2*d). 18*d**4 Expand -1 + 4 - y - 1 + (-2 + 2 + 2)*(12 - 12 + 33*y). 65*y + 2 Expand (0 + 1 + 0)*(-2*g + g - 3*g)*(-9*g**4 - 3*g**4 - g**4). 52*g**5 Expand (6*x - 3*x - 4*x + (-6 + 6 + 5*x)*(14 - 36 - 16))*(0 + 0 - 1). 191*x Expand ((-z - z + z)*(3*z**4 - 2*z**4 - 6*z**4) + z**5 - 2*z**2 - 3*z**5 + 6*z**5)*(0 - 3 + 1 + (-4 + 1 + 4)*(3 - 3 - 1) + 1 + 1 + 0 - 2 - 2 + 2). -27*z**5 + 6*z**2 Expand (0*b - 2*b + b)*((2 + 0 + 0)*(2*b - 3*b + 2*b) - b + 0*b + 4*b)*(2*b**3 + 0*b**3 - b**3) + 5*b**5 - 4 + 3*b**5 + 3*b**5. 6*b**5 - 4 Expand (24*j - 6*j + 31*j)*(2*j**2 + 0*j**2 - j**2). 49*j**3 Expand (-18*y**2 - 8*y**2 + 13*y**2)*(3 - 11 + y + 3). -13*y**3 + 65*y**2 Expand (2*r - 2*r - 8*r)*(0 + 8 - 2)*(-4*r**2 + 2*r**2 + 0*r**2)*(r**2 + 3*r**2 - 5*r**2). -96*r**5 Expand (-23*g + 118*g - 17*g + 78*g)*(5*g + 13 - 13). 780*g**2 Expand -7*o**2 - 14*o**2 - 19*o**2 - o**2 - 5*o**2 + 4*o**2 + (o - o**2 - o)*(-3 + 4 + 1) - o**2 + 2*o**2 - 4*o**2. -47*o**2 Expand (3*l + 11*l + 4*
{ "pile_set_name": "DM Mathematics" }
d k to the nearest one thousand. 11000 Let w = -327.883 + 329. Round w to one decimal place. 1.1 Let v = 25.01 - 25. Round v to three dps. 0.01 Let l = 5.3 - 1.9. Let b = 3.21 - l. Let g = b + -4.71. Round g to 0 decimal places. -5 Let q = 0.04 + -7.04. Let a = q - -7.2. What is a rounded to two dps? 0.2 Let j = -130.4451 - -144.44493. Let q = -16 - -30. Let d = j - q. Round d to 4 dps. -0.0002 Let u = -40682 + 75482. Round u to the nearest one thousand. 35000 Let n be 1 + (0 + 2 - 1). Suppose -n*b + 17100 = b. What is b rounded to the nearest one thousand? 6000 Let t = -3575 - -3574.83965. Let y = t + 0.16. What is y rounded to four dps? -0.0004 Let p = 412.94 + -417. Let k = p - -4. Round k to 1 decimal place. -0.1 Suppose -5*p + 2*p - 22449 = 0. Let n be -441*p/(-1) + 3. What is n rounded to the nearest 1000000? -3000000 Let a = -33 + 33.49. Let s = -0.14 + a. What is s rounded to one dp? 0.4 Suppose -2*n + 29008 = -5*g, -3*g + n - 6726 = 10678. What is g rounded to the nearest one thousand? -6000 Let c = 3 - 2.81. Let d = c - 0.189879. What is d rounded to 5 dps? 0.00012 Let p = -1.1999926 + 1.2. What is p rounded to 6 decimal places? 0.000007 Let r = 724907 - 194907. What is r rounded to the nearest 100000? 500000 Let q = 14909 + -14909.0999888. Let k = q - -0.1. What is k rounded to 6 decimal places? 0.000011 Suppose 5*h = 2*d + 12, 3 = -3*h + 4*d + 13. Suppose -3*k + 2*j - 17599994 = -h*k, 3*k + 4*j = -52800012. Round k to the nearest 1000000. -18000000 Let w(u) = u. Let j be w(3). Let o be 2359*(-4)/j*-3. Let b = -23436 + o. Round b to the nearest ten thousand. -10000 Let x = -23115734 - 53454482. Let k = x + 76570198.0000014. Let o = k - -18. Round o to 6 decimal places. 0.000001 Let l = -14.7101 - -14.7. What is l rounded to two dps? -0.01 Let h(i) = -2003395*i**3 - 2*i**2 - 2*i. Let v be h(-2). Let g = 5427156 - v. Round g to the nearest one million. -11000000 Let k = -1.9 + 1.49. Round k to 1 decimal place. -0.4 Let a be 12/(-9) + 1/3. Let g be (-3 + 0)/(-2 - a). Let b be -1 + -168 + (2 - g). Round b to the nearest one hundred. -200 Suppose 145 = -g + 905. What is g rounded to the nearest 100? 800 Let m(h) = h**3 + 23*h**2 - 3*h + 31. Let y be m(-13). Round y to the nearest 100. 1800 Let r = 18488 - 18531.981. Let y = r + 44. What is y rounded to 3 decimal places? 0.019 Let r = -1.2 + 1.199997. Round r to 5 dps. 0 Let m = -77062330 - -77062355.0000086. Let x = m + -25. What is x rounded to six decimal places? 0.000009 Suppose 5*t + 127000010 = -5*y, -3*t + 4477643 = -2*y - 46322351. Round y to the nearest 1000000. -25000000 Let r(j) = 2*j**3 - j + 1. Let a be r(1). Suppose -a*h = -3*h - 1. Round h to the nearest integer. -1 Let d be 4/(-6) + 178/(-3). Let l = -18 - d. Let g = -17 + l. What is g rounded to the nearest 10? 30 Let u be 0 - -2 - (-1 + -163371). Suppose -136626 - u = -3*z. Suppose 0*g - z = 5*g. Round g to the nearest 10000. -20000 Let i be 3 + -4 - 59*1. Let p be i/7*(3 + 4). Let u be p/(-2 + 75/42). Round u to the nearest one hundred. 300 Let x(q) = 4*q**2. Let c be x(-1). Suppose 2*g = 2*b - 10396, -b - 20810 = c*g + 4*b. Round g to the nearest 1000. -5000 Suppose -t + v = -268, -5*v - 786 - 284 = -4*t. Round t to the nearest one hundred. 300 Let i = -518 + 124. Let b = -398.9925 - i. Let f = b - -5. Round f to three dps. 0.008 Let f = 0.02 + -6.02. Let o = f + 5.999983. What is o rounded to 5 dps? -0.00002 Let y = 23.1516 + 16.52375. Let c = y - 40.675. Let j = -1 - c. What is j rounded to four decimal places? -0.0004 Let i = 5 + -5.12. What is i rounded to 2 dps? -0.12 Let i = -68 + 77.8. Let o = -1.8 + i. Let h = 8.00000096 - o. Round h to seven dps. 0.000001 Let p = 2.3 - 2.3000007. Round p to 7 dps. -0.0000007 Let l = -23.934 - -22.73443. Let y = l + 1.2. What is y rounded to 4 dps? 0.0004 Suppose 34 = 3*b - 62. Suppose 2*y - b = 3*o - 5, 0 = -y + 2*o + 15. Suppose j = -0*j - y. What is j rounded to the nearest ten? -10 Let c = 54.00284 - 54. Round c to 3 decimal places. 0.003 Suppose -k - 1 = 3. Let f be ((-4)/(-6))/(k/(-18)). Suppose -f*g - 570885 - 749115 = 0. Round g to the nearest one hundred thousand. -400000 Let a = -0.64 + 0.1. Let y = -0.91 - a. Round y to one dp. -0.4 Let j = 103 - 94.2. Let u = -29.2 - j. Let p = -38.000093 - u. What is p rounded to five decimal places? -0.00009 Let k = -7066 + 7062.0015. Let w = 0.1 + -4.1. Let a = w - k. Round a to three dps. -0.002 Let c = 153 - 97. Let f = 87950 + -88006.031. Let o = c + f. Round o to two dps. -0.03 Let t = -89 + 88.925. What is t rounded to 2 decimal places? -0.08 Let m be 2280/(-36)*(-11 - 1). Round m to the nearest 100. 800 Let w = -89.358 - -107.38. Let t = w + -18. What is t rounded to two dps? 0.02 Let x = 4 + -3.6. Let j = -12885.299996 + 12884.9. Let r = x + j. What is r rounded to six decimal places? 0.000004 Let w = -0.8 + -9.2. Let t = w + 9.9999975. Round t to six dps. -0.000003 Let f = -9296 + -5704. What is f rounded to the nearest one thousand? -15000 Let g(w) = -364999*w - 2. Let b be (11 + -10)/((-2)/20). Let l be (-24)/(-15) - 4/b. Let y be g(l). Round y to the nearest 100000. -700000 Let l = 64 + -63.645. Let s = l - 0.35500173. Round s to 7 decimal places. -0.0000017 Suppose -59999908 = -2*h - 2*y, -2*y + 13 = 5. Suppose -g + h = 4*g. Suppose -a = 2*l + l + 5999995, 2*a + g = -3*l. Round l to the nearest 1000000. -2000000 Let v = -13 - -8. Let n = v + 4.999995. Round n to 6 dps. -0.000005 Let a = 0.022 - 0.02201237. What is a rounded to six dps? -0.000012 Let s = 188.95 + -34.05. Let p = -291 - -129. Let l = s + p. What is l rounded to zero decimal places? -7 Let n = 1 + 2. Suppose 5*m = -n*t + 74978, 8*t - m - 124954 = 3*t. Suppose 5*q = 3*y - t, -2*y + 4*y + 25006 = -5*q. What is q rounded to the nearest 10000? -10000 Let w = 1459168 - 2169168. What is w rounded to the nearest one hundred thousand? -700000 Suppose -2*l - 3*l + 2*b - 9 = 0, 0 = 2*b + 6. Let j be 422999/l + (-7)/21. Round j to the nearest ten thousand. -140000 Let m = -1843432.9999925 - -1843439. Let w = 4 + 2. Let k = m - w. Round k to 6 dps. 0.000008 Suppose 0 = 2*v + 3*m + 185, 105 = -2*v + v + m. Round v to the nearest one hundred. -100 Suppose 0*c + 5*c = 144025. Suppose -c = -i + 43195. What is i rounded to the nearest ten thousand? 70000 Let q be (5709/(-9) + 1)*1500. What is q rounded to the nearest one hundred thousand? -1000000 Let s = 63.0042 + -63. Round s to four decimal places. 0.0042 Let d(k) = 9400001*k**2 - 1. Let b(c) = c**3 + 4*c**2 - 6*c - 6. Let y be b(-5). Let p be d(y). Round p to the nearest 1000000. 9000000 Let d = -0.6 + 0.72. Let x = 0.168 - d. Let y = x + -0.0480023. What is y rounded to 6 dps? -0.000002 Let t = 58 + -60.3. Let o = 2.365 + t. What is o rounded to two dps? 0.07 Suppose 0 = 5*w - 0*m - 3*m + 4415, 870 = -w - 2*m. Round w to the nearest 1000. -1000 Let n = 0.9 + -0.52. Round n to 1 decimal place. 0.4 Let i(r) = -74*r + 4. Suppose 4*v - 17 - 3 = 0. Suppose 5*s + 2 - v = -3*h, 30 = 4*h - 2*s. Let x be i(h). What is x rounded to the nearest one hundred? -400 Let y = 0.1473 + -0.156. What is y rounded to 3 decimal places? -0.009 Let l be (-16 - (-1 - 0))*(-1292)/(-102). What is l rounded to the nearest 100? -200 Let c = -11.14 - -0.14. Let y = 11.0002 + c. What is y rounded to four decimal places? 0.0002 Let i = -118 + 118.000013. Round i to five decimal places. 0.00001 Let w(y) = 795000*y. Let t be w(-2). Round t to the nearest 100000. -1600000 Let w = 2.144 - 0.114. Let r = -4 + 6. Let i = r - w. What is i rounded to 2 dps? -0.03 Let q = -12.2 - -12. Let l = q - -0.08. Round l to 2 decimal places. -0.12 Let b = -14.0612076 + 14.9612. Let g = b - 0.9. Round g to 6 decimal places. -0.000008 Let p = -2 - -8. Let v = p + -6.0001. What is v rounded to four decimal places? -0.0001 Suppose b - 20 = -4*b. Suppose -b*k + 1 = -3*i + 2, -3*i + 2*k = 1. Let o be (-103003 - -2) + (-1)/i. What is o rounded to the nearest ten thousand? -100000 Let x = -86.25 + 45.99. Let c = -41 - x. What is c rounded to one decimal place? -0.7 Let i(v) = 2*v**2 - 6*v - 39. Let l be i(-6). What is l rounded to the nearest ten? 70 Let o(w) = 23*w**2 + 2*w + 4. Let x be o(2). Let m be (-116)/(-3) - 4/6. Let i = x - m. Round i to the nearest 10. 60 Le
{ "pile_set_name": "DM Mathematics" }
hat is 4*c(l) - 7*x(l)? l + 17 Let n(a) = -8*a**2. Let y(r) = -r**2. Let b(h) = -h + 3. Let v be b(-3). Suppose -10*w + v*w = 4. What is w*n(x) + 6*y(x)? 2*x**2 Suppose 2*p - 4*p = -5*n + 9, -4*p = 3*n - 47. Let o(x) = 4*x**2 + x + 2. Let c(b) = 11*b**2 + 2*b + 5. Determine p*o(f) - 3*c(f). -f**2 + 2*f + 1 Let x(g) = g**2 - 9*g + 4. Let j be x(10). Let t(y) = 8*y + 1. Let m(k) = k. Let s be (-2)/(-4) + 5/(-2). Give j*m(n) + s*t(n). -2*n - 2 Let w(x) = -9*x**2 - 7*x - 9. Let s(a) = -5*a**2 - 4*a - 5. Determine 11*s(u) - 6*w(u). -u**2 - 2*u - 1 Let d(k) = 4*k**2 - 5*k + 1. Let o(w) = 2*w**2 - 2*w. Let u = 28 + -23. Give u*o(x) - 2*d(x). 2*x**2 - 2 Let b(r) = 4*r**3 - 2*r**2 + 6*r + 3. Let i(h) = h**3 + h**2 + h + 1. Determine -b(l) + 3*i(l). -l**3 + 5*l**2 - 3*l Let a(j) be the second derivative of 49*j**4/6 + 35*j**2/2 + 31*j. Let c(i) = 11*i**2 + 4. What is -4*a(d) + 35*c(d)? -7*d**2 Let o(f) = f + 4. Let y(n) = -n - 5. Calculate 6*o(c) + 7*y(c). -c - 11 Let f be (-15)/2*10/15. Let m(t) be the first derivative of 0*t - 5/4*t**4 - 2*t**3 - 1 + 3*t**2. Let q(n) = -4*n**3 - 5*n**2 + 5*n. What is f*m(i) + 6*q(i)? i**3 Let k(s) = -s**3 - 4*s**2 + 76. Let b(t) = -3*t**3 - 11*t**2 + 227. Calculate 4*b(n) - 11*k(n). -n**3 + 72 Let d(x) = 2*x - 7. Let b be (-3)/(-3) - (1 + -15). Suppose -3*s - 2*j = j + b, -4*j = -8. Let h(i) = 2 - 2 + i - 4. Calculate s*h(u) + 4*d(u). u Let a(d) = d - 1. Let j(u) = -5*u + 22. What is 4*a(w) + j(w)? -w + 18 Let p(a) = -22*a - 3. Let d(i) = -21*i - 2. Calculate -5*d(t) + 4*p(t). 17*t - 2 Let w(r) = -r + 1. Let v(i) = -7*i - 13. Give v(y) - 6*w(y). -y - 19 Let s(a) = -8 - 6 + 5 - 3*a. Let z(m) = 3*m + 8. Let n(q) = -5*s(q) - 4*z(q). Let l(d) = -2*d - 9. Suppose 28 = 4*o - 0. Determine o*l(j) + 5*n(j). j + 2 Let d(j) = -2*j**3 + j**2 + 3*j + 3. Let m = 1 - -4. Let p(g) = -4*g + 4*g**3 - 2*g**3 - m + 3 + 2*g. Determine -2*d(c) - 3*p(c). -2*c**3 - 2*c**2 Let g(s) be the second derivative of -s**3/6 + 5*s. Let l(d) = -d + 4. Calculate -3*g(u) + l(u). 2*u + 4 Let t(g) = g**3 - g**2. Let i(z) = -6*z**3 + 7*z**2 - 2. Calculate -i(s) - 4*t(s). 2*s**3 - 3*s**2 + 2 Let p(f) be the first derivative of -3*f**4/2 + f**2/2 - 5*f + 4. Let n(x) = x**3 + 1. Determine -10*n(q) - 2*p(q). 2*q**3 - 2*q Let s(p) = 5*p**3 - 4*p**2 + 2. Let w be ((-10)/3)/((-4)/6). Let y(d) = 2 + 2*d**2 + 2*d**2 + 6*d**3 - 5*d**2 - 4*d**2. Give w*s(u) - 4*y(u). u**3 + 2 Let q(d) = 7*d**3 - 7*d**2 - 5*d + 4. Let z(o) be the second derivative of 3*o**5/20 - o**4/4 - o**3/3 + o**2 - 7*o. Give 2*q(x) - 5*z(x). -x**3 + x**2 - 2 Let f(q) = -475*q + 57. Let s(o) = -17*o + 2. Determine 2*f(d) - 57*s(d). 19*d Let v be (-2)/((-5)/((-15)/6)). Let l(d) = -d**2 - d. Let s be 1 + 0*(3 + -2). Let u(x) = -2 + 0 + 2 - s - 5*x**2 - 3*x. Give v*u(h) + 3*l(h). 2*h**2 + 1 Let n(z) = z**2 - 2*z - 7. Let u(v) = -v**2 + 2*v + 6. Calculate 2*n(f) + 3*u(f). -f**2 + 2*f + 4 Let v = -22 - -19. Let l(w) = 15. Let o(z) = -7. Let a(n) = -6*l(n) - 13*o(n). Let u(i) = -2*i - 5. Calculate v*a(s) - u(s). 2*s + 2 Let i(f) = 5*f**2 + 5*f + 3. Let v = 10 - 3. Let k = -4 - -6. Let r(w) = -k*w + 5 + 9*w**2 + v*w + 4*w. Calculate -5*i(j) + 3*r(j). 2*j**2 + 2*j Let t(q) = 3*q + 2. Let h = -1 - 4. Let i(u) = 6*u + 4. Determine h*t(z) + 3*i(z). 3*z + 2 Let p(f) = 3 + 3*f - f + f**2 + 2*f. Let y be p(-4). Let i(c) = 3*c + 2. Let s(t) = -2*t - 2. What is y*i(g) + 4*s(g)? g - 2 Let r(d) = 2*d - 2. Let h(t) be the third derivative of t**4/6 - 5*t**3/6 + 16*t**2 + 2*t. Determine -2*h(z) + 5*r(z). 2*z Let f(a) be the first derivative of -4*a**3/3 + 7*a - 2. Let r be (276/(-21))/4 - (-2)/7. Let i(b) = 2*b**2 - 3. What is r*f(p) - 7*i(p)? -2*p**2 Let v = 42 - 46. Let n(b) = -3*b + 5. Let h(u) = -3*u + 6. Give v*h(o) + 5*n(o). -3*o + 1 Let i(p) = -7*p - 4. Let x(m) = 15*m + 8. Determine 13*i(k) + 6*x(k). -k - 4 Suppose z - 1 = -6. Let l(q) = 5*q. Let f(w) = 9*w. What is z*l(h) + 3*f(h)? 2*h Let t(n) be the third derivative of n**5/30 + n**4/12 - 5*n**3/6 - 36*n**2. Let s(m) = 2*m**2 + 2*m - 6. Determine -2*s(y) + 3*t(y). 2*y**2 + 2*y - 3 Let r(k) = -8*k. Let p(c) = -c. Determine -10*p(j) - 5*r(j). 50*j Suppose -2*i - w = 7, 0 = 4*i - 0*i + w + 15. Let o(m) = 2*m**2 - 2*m + 5. Let t(c) = 2*c**2 - 2*c + 4. Determine i*t(n) + 3*o(n). -2*n**2 + 2*n - 1 Let o(a) = 7*a**2 - 4*a + 9. Let d(m) = -4*m**2 + 2*m - 5. What is 11*d(r) + 6*o(r)? -2*r**2 - 2*r - 1 Let f(p) = -1. Let a(l) = l + 21. Calculate a(j) + 2*f(j). j + 19 Let n(r) = -31*r**2 - 16*r - 5. Let x(v) = 6*v**2 + 3*v + 1. Determine -2*n(g) - 11*x(g). -4*g**2 - g - 1 Let n(v) = 5*v**3 + 3*v**2 + 14. Let l(r) = -4*r**3 + r**2 - 2*r - 5. Let p(m) = -m**3 + m**2 - m. Let w(o) = -l(o) + 2*p(o). Give 4*n(k) - 11*w(k). -2*k**3 + k**2 + 1 Let a(z) = -6*z + 2. Let g(h) = -6*h + 1. What is -4*a(s) + 6*g(s)? -12*s - 2 Let t(q) = -18*q**3 - 4*q**2. Let r(x) = x**3 + x**2. What is 4*r(s) + t(s)? -14*s**3 Let w(d) = d - 1. Suppose r = -3*j - 3*r - 30, -4*j + 2*r = 18. Let t(x) = x**3 + 0*x**3 - x**3 - 4*x + 6 - 2*x**3. Calculate j*w(g) - t(g). 2*g**3 - 2*g Let p(s) = 7*s + s - 2*s + 7*s. Let b(a) = 27*a. What is 6*b(g) - 13*p(g)? -7*g Let y(v) = 6*v**2 - 5*v - 5. Suppose -2 = -q - 4*j + 13, -25 = q - 4*j. Let a = -36 - -37. Let k(u) = u**2 - u - 1. Give a*y(n) + q*k(n). n**2 Let a(o) = 74*o**2 - 7*o - 7. Let r(m) = -37*m**2 + 3*m + 3. What is -3*a(v) - 7*r(v)? 37*v**2 Let o(r) = 12*r - 2*r + 2*r + 10. Let b be 3 + (-6)/(-2) + -5. Let u(l) = l + 1. Calculate b*o(z) - 10*u(z). 2*z Let j(g) = 3*g - 8. Let n(y) = -7*y + 15. What is -5*j(q) - 2*n(q)? -q + 10 Let i(w) = -7*w**3 + 5*w**2 - 5. Let z(d) = 3*d**3 - 2*d**2 + 2. Let c be ((-15)/6)/(3/6). Determine c*z(u) - 2*i(u). -u**3 Let g(q) = q**2 - q + 1. Let w = 16 + -13. Suppose -p + 2*p = w. Let z(o) = -3*o + 3. Determine p*g(y) - z(y). 3*y**2 Let x(k) = -k**2 + k + 3. Let n(j) = -4*j**2 + 2*j + 8. Calculate 3*n(y) - 8*x(y). -4*y**2 - 2*y Let w(n) = n. Let c be ((7 - -2) + -1)/1. Let b(p) = 3*p. Suppose 0*v - 12 = m + v, 4*m - 2*v + 30 = 0. Let k = m + 6. Determine c*w(z) + k*b(z). -z Let x(o) = 18*o**3 + 3*o**2 - 3. Let q(c) = -c**2 + 1. What is 3*q(y) + x(y)? 18*y**3 Let y(c) = c**3 - 2*c. Let b(i) be the third derivative of -i**6/40 + 7*i**4/24 + 7*i**2. What is -2*b(u) - 7*y(u)? -u**3 Let r(p) be the third derivative of -7*p**4/24 - 2*p**3/3 - 59*p**2. Let o(f) = -8*f - 5. Determine -6*o(k) + 7*r(k). -k + 2 Let m(p) = -p - 1. Let g(i) be the first derivative of 5*i**2/2 + 6*i + 6. Calculate -g(t) - 6*m(t). t Let h(u) = -u**2 - 5*u + 2. Let v be h(-5). Suppose 0 = v*g - 4 - 8. Let j(l) = -11 - 5 + g - 10*l. Let z(k) = -k - 1. Calculate 2*j(m) - 22*z(m). 2*m + 2 Let a(n) = -5*n + 6. Let h(u) = -3*u - 1 + u + 3*u + 0*u. What is -2*a(v) - 11*h(v)? -v - 1 Let w(u) = -2*u**3 - 4*u**2 + 4*u - 4. Let y(b) = b**3 + b**2 - b + 1. Calculate w(m) + 4*y(m). 2*m**3 Let k(x) = x - 9. Let l(y) = -y + 19. Give -13*k(w) - 6*l(w). -7*w + 3 Let y(u) = 15*u**3 + 13*u**2 - 13. Let l = 37 + -43. Suppose -2*f = 3*f - 30. Let d(v) = 7*v**3 + 10*v**2 - f - v**2 - 3*v**2. Give l*y(g) + 13*d(g). g**3 Let a(d) = -4*d**2 - 5*d + 1. Let u(q) = 55*q**2 + 4*q + 0*q - 52*q**2. Suppose 0 = 3*g + 5 - 14. What is g*u(y) + 2*a(y)? y**2 + 2*y + 2 Let f(v) = -2 + 605*v**2 - v - 597*v**2 - 3. Let r(n) = -9*n**2 + n + 6. Calculate 6*f(p) + 5*r(p). 3*p**2 - p Let a(t) = -1. Let o(u) = -u + 7. Suppose 10*q + 7 = 3*q. What is q*o(l) - 6*a(l)? l - 1 Let z(c) = -c**2. Let o(y) = -5*y**3 + 5*y**2. Give -o(j) - 5*z(j). 5*j**3 Let n(m) = -m + 1. Suppose 0 = -4*h - x - 44, 0*h + 4 = -h - 2*x. Let a be (-6)/(-4)*h/(-18). Let k(u) = 2*u - 3. Determine a*k(g) + 3*n(g). -g Suppose 0 = -u - 4 - 1. Let n(d) = 2*d - 3. Let v(r) be the first derivative of 1/2*r**2 - r + 1. Determine u*v(j) + 2*n(j). -j - 1 Let x(f) = -9*f**3 + 4*f**2. Let n(z) = -17*z**3 + 7*z**2. Let p = -74 - -70. Determine p*n(r) + 7*x(r). 5*r**3 Let x(t) = 10*t**2 + 2*t + 14. Suppose -4*v + 5*d + 2 = 3*d, 3*v = -5*d + 8. Let p(m) = -6*m**2 + 0*m + 5*m**2 + 0*m - v. Determine 12*p(h) + x(h). -2*h**2 + 2*h + 2 Let j be 2/(-1*2/(-1)). Let w(d) be the first derivative of -3*d**2 - 6*d - 2 - j + 5. Let u(i) = -5*i - 5. What is -5*u(x) + 4*w(x)? x + 1 Let w(x) = -x**2 + 6*x + 2. Let m be w(6). Let z = -8 - -14.
{ "pile_set_name": "DM Mathematics" }
- 3807.214. Round i to the nearest ten. -3820 Let r = -69.10441 - 0.07559. Round r to the nearest integer. -69 Let z = -28395.0019 - -28393. Let n = -0.4 + 2.4. Let h = z + n. What is h rounded to two decimal places? 0 Let m = -339.396 + 340. Let o = m + -0.127. What is o rounded to 2 decimal places? 0.48 Let m = -34086.9999920294 - -34087. What is m rounded to six dps? 0.000008 Let b(z) be the third derivative of -z**5/15 + z**4/4 - z**3/2 - 5*z**2. Let o(a) = 5*a - 77. Let f be o(16). Let v be b(f). Round v to the nearest ten. -20 Let j = 0.02753 - 0.0275273208. Round j to seven decimal places. 0.0000027 Let b = -0.457 + -0.237. Let x = b + 0.69069. Round x to three dps. -0.003 Let b = 0.3 - -4.2. Let k = b + -5.192. Round k to one decimal place. -0.7 Let k = 220.0072 - 0.0072. Let v = 219.903 - k. Let j = 0.917 + v. Round j to one dp. 0.8 Let d = -858.06 + 861. Let v = 2.6602 - d. Round v to 2 decimal places. -0.28 Let t = 40.5 - 215.7. Let l = -175.0911 - t. What is l rounded to 2 decimal places? 0.11 Let t = 16553 - 16486.005. Let p = 0.005 + t. Let s = -67.00000019 + p. What is s rounded to seven decimal places? -0.0000002 Let n = 15793.23778 - 15793. What is n rounded to 3 decimal places? 0.238 Let y(p) = -p**2 - 6*p + 16. Let v be y(6). Let o = v + 56. Suppose -9*t = -o*t - 8100000. What is t rounded to the nearest one million? 1000000 Let o be (-24)/((-39)/(-6) - 5). Let u be o*7/(-28) - (1 - -2). Let f be 1 + 793 + u + -5. What is f rounded to the nearest one hundred? 800 Let r = -1128.03189 - -1128. What is r rounded to two decimal places? -0.03 Let d(x) = 20*x**3 - 12*x**2 - 20*x - 5. Let l be d(14). Let g = l - 25243. What is g rounded to the nearest ten thousand? 30000 Let r = -9404.867 - -9409. What is r rounded to 1 dp? 4.1 Let l = 4684.7186 + -4684. Let v = l - 7.8326. What is v rounded to the nearest integer? -7 Let k = -102 + 101.9088. Let q = 2571 + -2571.09. Let w = k - q. Round w to three decimal places. -0.001 Let k = -3209.997571 - -3210. Round k to two decimal places. 0 Let u = 1377.1 - 1427.274. Round u to the nearest ten. -50 Let p = -25.566 + 10.627. Let z = -0.249 - p. Round z to 0 dps. 15 Let b = -873889552 + 873889660.9000477. Let t = -108.9 + b. What is t rounded to 6 decimal places? 0.000048 Let q = -1.11 - -964.11. Let b = q - 914.7. What is b rounded to the nearest ten? 50 Let f = 6.2 - 3.2. Let r = -25 - f. Let n = r + 37.1. What is n rounded to zero decimal places? 9 Let t = -0.138 - -0.1232. Let s = t + 28.3148. What is s rounded to the nearest ten? 30 Let r = 278.5 - 278.9. Let k = 6149372 + -6149372.4000001. Let n = r - k. What is n rounded to 6 decimal places? 0 Let s be (-5)/20*1 + (-28704008)/(-32). Round s to the nearest 10000. 900000 Let x = -0.481 - 220.519. Let f = x + 221.00000023. What is f rounded to 7 dps? 0.0000002 Let o(w) = 2*w**2 + 12*w - 3. Let a be o(-6). Let x be -6*1*a/(-2)*9. Let j be 33857982/x + (-4)/18. Round j to the nearest 10000. -420000 Let x = -45082 - -45087.49999. Let h = 5.5 - x. Let y = h - 0. Round y to four dps. 0 Suppose 12*x - 468 = -6*x. Suppose x*a = -81092294 + 245672294. Round a to the nearest 1000000. 6000000 Let o = 405129.00402205 + -405120.384. Let q = 8.62 - o. What is q rounded to six decimal places? -0.000022 Let a = -0.0429121852 - -929.0395561852. Let q = -929 + a. Round q to four decimal places. -0.0034 Suppose -4*d - 34 = -2*i, -i + 0*d - d + 5 = 0. Suppose -11*c + i*c = -6800000. Round c to the nearest 1000000. 3000000 Let g = -484204.93463 - -484993.93463189. Let f = g + -789. Round f to 7 decimal places. 0.0000019 Suppose -39*y + 155880 = 1291585 + 336935. Round y to the nearest ten thousand. -40000 Let k = 13 - 3.5. Let r = -7813 + 7776. Let n = k + r. Round n to the nearest integer. -28 Suppose 46*n - 266 = 53*n. Let o(x) = 797633*x + 54. Let g be o(n). Round g to the nearest one million. -30000000 Suppose 0 = -3*j + 6*j + 3*l - 105, -3*j + 130 = -2*l. Suppose j = -3*y + 64. Let s be 0 + -121003 - (5 - y). Round s to the nearest 10000. -120000 Let s(l) = 2*l + 2. Let f be 26/(-12) + 2/12. Let b be s(f). Let x be (-9239994)/(-24) - b/8. What is x rounded to the nearest 10000? 390000 Let u = 88 + 46. Let q = u - 133.99696. What is q rounded to 4 dps? 0.003 Let j = 245181 - 244706.953. Let l = 474 - j. Round l to three decimal places. -0.047 Let j = -10522 + 10521.990226. What is j rounded to 3 dps? -0.01 Let o = 490116625352.000295 - 490094960707. Let x = -21664509 + o. Let s = -136 + x. What is s rounded to five decimal places? 0.0003 Let k = 4495.5719 + -4495. Let r = -0.0629 + k. What is r rounded to two decimal places? 0.51 Let m = 99518.9999873643 - 99519. What is m rounded to seven dps? -0.0000126 Suppose 65*s = -30*s + s - 687328000. Round s to the nearest 100000. -7300000 Let o = 8371.49 + -8254. Let q = o + -107.3. Round q to zero decimal places. 10 Let h(n) = n**3 - n**2 + 177000. Let b = 155 + -93. Let q = b - 62. Let k be h(q). What is k rounded to the nearest 10000? 180000 Suppose -2 = -d + y, 3*d + 5*y - 18 = 2*y. Suppose -2*g = -0*b - b - 1399, g - 704 = -d*b. What is g rounded to the nearest 100? 700 Let u = -5054.000007302 + 5054. What is u rounded to 7 decimal places? -0.0000073 Let o = -143982 + 143983.19053. Let c = o - 1.182. What is c rounded to 3 decimal places? 0.009 Let c = -215 + 234.2. Let r = c - 19. Let v = r - 0.199. Round v to 2 dps. 0 Let s = -444758.55 + 445375.54507. Let x = s - 617. Round x to three dps. -0.005 Let f = 168.824 + 0.176. Let y = -125565468.000274 + 125565637. Let h = y - f. Round h to 4 decimal places. -0.0003 Let c(k) = -248*k + 330. Let x be c(-13). Suppose 3148 + x = 6*m. Round m to the nearest ten. 1120 Let h = -715811260097.95912694 - -715811252346. Let t = h - -7659.959128. Let m = -92 - t. What is m rounded to 7 dps? -0.0000011 Let c = 163 + 31. Let a = c + -193.606. Round a to one dp. 0.4 Let g = 607.2 + 4991.8. Let f = g + -4920.2. Round f to the nearest one hundred. 700 Let n = -2.92 - -21.32. Let o = -18.409 + n. What is o rounded to three dps? -0.009 Let r = -51001977.02999939 - -51001978. Let u = r - 0.97. What is u rounded to seven decimal places? 0.0000006 Let c = -3.772 + 3.77197897. Round c to 5 dps. -0.00002 Let p(j) = -10354*j**2 - 61*j + 310. Let l be p(6). Round l to the nearest 10000. -370000 Let a = 27.049999297 + -27.05. Round a to 7 dps. -0.0000007 Let j be (-1)/(-2)*-1*4368/(-26). Let l be (2 + j/8)/(10/(-17120)). What is l rounded to the nearest one thousand? -21000 Let a(m) = 3869*m + 52. Let q be ((-1)/(-3) - 24/18)*25. Let b = 17 + q. Let p be a(b). Round p to the nearest 1000. -31000 Let m = 1396109600 - 1396118816.94767. Let s = m - -9217. What is s rounded to 2 decimal places? 0.05 Let v = 0.355 - 0.72. Let m = 0.2313 + v. Let f = -0.0884 - m. What is f rounded to three decimal places? 0.045 Let y = 36.28 + -36.275162. Let u = -0.0053 + y. What is u rounded to 4 decimal places? -0.0005 Let n = -13 - -18. Suppose 0 = 3*o - 495588 - 428457. Suppose o = -4*q + z - 4*z, -n*z = 25. What is q rounded to the nearest 10000? -80000 Let d = -281.2 + 262.3. Let t = 0.08 + -34.28. Let o = d - t. What is o rounded to the nearest integer? 15 Let m = -4157.35 + -1000.55. What is m rounded to the nearest 10? -5160 Let l = -42750322991 + 42750323356.20004274. Let h = 365.2 - l. What is h rounded to six decimal places? -0.000043 Let l = 0.0162 + -490.0162. Let x = 471.88 + l. What is x rounded to the nearest integer? -18 Suppose 3*g = -2*x + 560743, -16*g + 12*g = -4. What is x rounded to the nearest 10000? 280000 Let m = -85748.3 - -90385. What is m rounded to the nearest 100? 4600 Let k = -1710.702 + 1714. Let q = k + -3.33406. Round q to two dps. -0.04 Suppose 6*q = 34768533 + 15662745. Let t = -7794787 - q. What is t rounded to the nearest 1000000? -16000000 Let n = 586 - 368.3. Let p = -244 + n. What is p rounded to zero dps? -26 Let q = 22.54 + -22.519475. Round q to four decimal places. 0.0205 Let w be (-19)/(-8) + 3/(-8). Let n be (-585)/1 + w*2. Round n to the nearest 100. -600 Let t = 1404.5338 + 27.1962. What is t rounded to the nearest ten? 1430 Let b(j) = -3991*j + 90. Suppose -54*r = -53*r + 10. Let x be b(r). Round x to the nearest 1000000. 0 Let k = 0.194 + 90.806. L
{ "pile_set_name": "DM Mathematics" }
ive o(p(z)). 4*z**2 Let q be (-1 + -2)*(-2 - 0). Suppose q*x - x - 15 = 0. Let s(c) = 5*c - x*c + 6*c + 2*c. Let b(g) = -2*g. Calculate s(b(f)). -20*f Let q(g) = 0*g + 0*g - 3*g**2 + 5*g**2. Let c(t) be the third derivative of -5*t**4/6 + 16*t**2. What is c(q(n))? -40*n**2 Let z(w) = w**2 - 235*w. Let l(c) = 19*c - 8. What is z(l(b))? 361*b**2 - 4769*b + 1944 Let q(c) = -7*c**2. Let m(i) = -48819*i**2. Calculate q(m(b)). -16683063327*b**4 Let r(l) = -55*l. Let j(z) = -6070*z. Determine j(r(p)). 333850*p Let x = -30 + 32. Let m(d) = 2*d + x*d - d. Let y(c) = -7*c. What is m(y(b))? -21*b Let l(m) = m. Let w(t) = -3*t + 7795. What is l(w(p))? -3*p + 7795 Let r(l) = -6*l. Let p(u) be the second derivative of 2*u**3/3 - u - 36. Give r(p(v)). -24*v Let h(r) = -19*r. Let f = 1189/12 + -99. Let j(y) be the second derivative of 0 + 0*y**3 + 0*y**2 + 12*y + f*y**4. Calculate h(j(m)). -19*m**2 Let g(s) = s. Let a(k) be the first derivative of -4/3*k**3 + 0*k**2 + 0*k - 13. Calculate a(g(o)). -4*o**2 Let a(s) = 3*s. Let x(o) = -57*o**2 + 3*o - 8. Determine a(x(l)). -171*l**2 + 9*l - 24 Let q(r) be the first derivative of -r**3 - 37*r**2 + 13 + 37*r**2 - 2. Let c(x) = 2*x**2 + x**2 - 2*x**2. Give c(q(z)). 9*z**4 Let b(t) = 3*t - 11. Let j(z) = -85*z**2 - 98*z**2 + 184*z**2. Determine b(j(c)). 3*c**2 - 11 Let l(g) = g**2 - 3*g**2 - 1040*g - 1031*g + 2071*g - 45. Let c(w) = 6*w. What is c(l(n))? -12*n**2 - 270 Let x(k) = 3*k**2. Let u(z) = 670572*z. Determine u(x(m)). 2011716*m**2 Let s(d) = -36*d**2 - 28*d. Let o(a) = 36*a**2 + 24*a. Let u(z) = 7*o(z) + 6*s(z). Let v(f) = -4*f. Give u(v(y)). 576*y**2 Suppose 5*u = 19 - 24, -3*g = 4*u + 1. Let o be (-1)/4 - 178/(-8). Let w(q) = -o*q + 25*q - g + 1. Let c(i) = -5*i**2. Calculate c(w(h)). -45*h**2 Let n(q) = -5*q**2. Let z(p) = 3285*p**2. What is z(n(j))? 82125*j**4 Let g be (8 - (0 - -3)) + -3. Let d(n) = 0*n - 5*n + n + g*n. Let x(j) be the first derivative of 2*j**3/3 - 1. Give x(d(t)). 8*t**2 Let n(g) be the third derivative of -1/6*g**4 + 0 - 23*g**2 + 0*g**3 + 0*g. Let z(r) = -r**2. Let o(b) = -b**2. Let d(q) = 3*o(q) - 4*z(q). Determine n(d(a)). -4*a**2 Let x(t) = -676*t**2 + 1. Let n(u) = 99*u. Calculate x(n(s)). -6625476*s**2 + 1 Let s(g) = -4*g - 24. Let t be s(-13). Let l(u) = -t*u + 61*u - 37*u. Let o(p) = 2*p. Let f(h) = h**2 + 5*h. Let v(x) = -2*f(x) + 5*o(x). Give l(v(y)). 8*y**2 Let c(k) = -2*k. Let b(g) = 1111*g**2 - 13*g - 26. Let n(p) = -556*p**2 + 6*p + 12. Let v(m) = -6*b(m) - 13*n(m). Determine c(v(l)). -1124*l**2 Let k(p) = 186*p**2 + 11. Let v(s) = -200*s. Give v(k(h)). -37200*h**2 - 2200 Let i(q) be the second derivative of q**4/6 - q. Let p(c) = 35 + 5*c - 4*c - 35. Let x(h) = -6*h. Let d(w) = -5*p(w) - x(w). Calculate d(i(o)). 2*o**2 Let b(d) = -7*d. Let w(z) = -24 + 24 - 2*z - 11*z. Give w(b(o)). 91*o Let l(r) = -17*r. Let z(p) = -27*p**2 - 45*p. What is l(z(q))? 459*q**2 + 765*q Let t(s) = -227449*s. Let f(z) = -2*z**2. Calculate f(t(x)). -103466095202*x**2 Let o(l) = -13*l**2. Let s(b) be the first derivative of -3*b**2/2 - 7*b - 74. Give o(s(p)). -117*p**2 - 546*p - 637 Let n(c) = c. Let j(d) be the first derivative of 3*d**3 + 0*d**2 - 1/30*d**5 + 0*d + 0*d**4 + 7. Let o(m) be the third derivative of j(m). Give o(n(q)). -4*q Let o be 65 + -65 - (0 - (0 + 5)). Let z(r) be the first derivative of o + 1/3*r**3 + 0*r + 0*r**2. Let f(i) = 12*i. Give z(f(h)). 144*h**2 Let l(g) = -3666*g + 14. Let q(u) = u. What is l(q(c))? -3666*c + 14 Let w(t) = 35809*t - 35851*t - 2 + 2. Let y(g) be the third derivative of g**5/60 - g**2. Determine w(y(a)). -42*a**2 Let t(h) = -169413*h**2. Let i(g) = 3*g**2. What is t(i(a))? -1524717*a**4 Let v(p) be the second derivative of 5*p**4/4 - 749*p. Let l(z) = z - 2. Let q(g) = 2*g - 3. Let a(n) = -3*l(n) + 2*q(n). Determine v(a(o)). 15*o**2 Let h(n) = -33*n. Let j(k) = -7005*k. What is j(h(r))? 231165*r Let h(j) = -j**2 - 10*j + 5. Let n(r) = 12*r - 6. Let c(u) = -6*h(u) - 5*n(u). Let s(k) be the first derivative of 5*k**2/2 + 1. Give c(s(p)). 150*p**2 Let b(m) = -4*m + 4*m - 12*m**2. Let h be (-2)/(-9) + 224/126. Let s(q) = -6*q**2 + 6*q**h + q**2 + q**2. What is s(b(f))? 288*f**4 Let p(f) = -3*f + 0 + 0. Let v(k) be the second derivative of -5*k**4/12 - 732*k. What is p(v(x))? 15*x**2 Let m(c) be the third derivative of 0*c**3 + 0*c + 5/24*c**4 + 0 - 6*c**2. Let k(w) = -5*w + 10*w - 6*w. What is k(m(l))? -5*l Let k(z) = -3130*z. Let p(u) = -32*u. What is k(p(y))? 100160*y Let v(f) = -343*f. Let i(j) = -24*j**2. Give i(v(g)). -2823576*g**2 Let q(f) = -16*f**2. Let v(u) = u**2 - 2*u. Let j(b) = 6*b**2 - 10*b. Let r be (-19 + 21)*(-10)/(-1). Let p(c) = r*v(c) - 4*j(c). Give q(p(x)). -256*x**4 Let n(m) = -2*m**2. Let a(p) be the third derivative of -p**4/24 - p**3 + 216*p**2. Determine n(a(g)). -2*g**2 - 24*g - 72 Let l(t) be the third derivative of -t**4/24 + 25*t**2. Let w(o) be the second derivative of -7*o**3/6 - o. Give l(w(r)). 7*r Let t(y) be the third derivative of -y**6/60 + 2*y**2. Let s be t(-1). Let j(w) = 3*w**2 - 5*w**s + 2*w**2 + w**2. Let p(h) = -6*h**2. What is p(j(d))? -6*d**4 Let y(m) = 29 - 50 + 6*m**2 + 21. Let o(n) be the first derivative of 3*n**2/2 + 1. Calculate o(y(a)). 18*a**2 Let g(p) = 2*p - 7. Let j(m) = -44*m + 65. Calculate j(g(f)). -88*f + 373 Let s(c) be the first derivative of 26*c**3 - 19 + 15*c**3 - 40*c**3. Let w(k) = 29*k. Calculate w(s(f)). 87*f**2 Let o = -57 + 72. Let u(q) = q - o + 19*q + 15. Let b(z) = z. What is u(b(w))? 20*w Let j(h) = -h - 9. Let l be j(-11). Let g(x) = 18*x**l + 58*x - 58*x. Let u(d) = 2*d**2. Calculate g(u(k)). 72*k**4 Suppose 5*x = -3*p + 21, -5*x = -0*x - 15. Let v be (-16)/(-10) + (-8)/(-20). Let i(l) = p*l**v - 188*l + 188*l. Let n(o) = 4*o**2. Give n(i(j)). 16*j**4 Let t(b) = b + 61. Let q(n) = 66*n**2. Give t(q(l)). 66*l**2 + 61 Let l(b) = 30165*b. Let d(c) = 34*c**2. Calculate d(l(j)). 30937525650*j**2 Let g(z) = z - 4. Let m(p) = 1. Let h(w) = g(w) + 4*m(w). Let c(x) = 45*x. Let i(k) = k**2 - k. Let b(t) = c(t) + 45*i(t). Calculate b(h(v)). 45*v**2 Let f(p) = -14*p - 3. Let z(b) = -312*b**2. Give z(f(d)). -61152*d**2 - 26208*d - 2808 Let i(t) = -174*t + 9. Let r(u) = 29*u**2. Give i(r(j)). -5046*j**2 + 9 Suppose -118 - 52 = -5*h. Let r(v) = 1 - 1 - h*v + 33*v. Let x(o) = -3*o. Determine r(x(z)). 3*z Let z(f) = 467*f**2. Let p(h) = -100*h. What is z(p(w))? 4670000*w**2 Let o(r) = -30510*r - 495. Let a(i) = -246*i - 4. Let b(j) = 495*a(j) - 4*o(j). Let v(h) = -2*h**2. Give v(b(d)). -145800*d**2 Let b(g) = -15*g**2 + 2*g. Let a(i) = -61*i**2 + 9*i. Let k = 19 - 10. Let j(s) = k*b(s) - 2*a(s). Let v(h) = 2*h**2 + 4*h**2 - 5*h**2. Determine j(v(z)). -13*z**4 Let r(z) be the first derivative of -z**3/3 + 123*z - 331. Let w(t) = -t. Give r(w(f)). -f**2 + 123 Let j(f) = f. Let o be 1/((-13)/7 + 2). Let m(u) = u + o*u + 3*u + 15*u. Calculate j(m(l)). 26*l Let h(u) = 0*u - 2*u + 0*u. Let o(s) be the second derivative of -s**3/6 + s**2/2 + 2*s. Let d(n) = 8*n - 9. Let f(k) = 2*d(k) + 18*o(k). Determine f(h(w)). 4*w Let x(h) be the second derivative of h**4/12 + h - 12. Let f(g) = 106*g**2. Determine f(x(c)). 106*c**4 Let q(h) = -9*h**2 + 12. Let f(i) = -i**2 + 2. Let p(a) = -6*f(a) + q(a). Let k(j) = 1 - 1 - 3*j. What is p(k(v))? -27*v**2 Let t(c) = 16876*c**2 + 1. Let h(p) = -p**2. Calculate t(h(g)). 16876*g**4 + 1 Suppose -6 = 2*d - 2, 3*t + 4*d = 1. Let u(s) = 0*s + 5*s - t*s + 0*s. Let r(j) = -7*j. Calculate u(r(a)). -14*a Let p(k) = -29*k**2 + 27*k**2 + 32*k**2. Let x(z) = 3*z**2. What is p(x(a))? 270*a**4 Let j(s) = -2728*s + 2728*s - 11*s**2 - 79*s**2. Let a(p) = -3*p. Give j(a(r)). -810*r**2 Let q(d) = -4*d. Let w(x) = -14 + 8*x + 8*x + 12*x - 33*x + 6*x. Give q(w(c)). -4*c + 56 Let c be (-6)/21 - 32/(-14). Let k(i) = -2*i**2 + 3*i**2 - 2*i**c. Let g(p) = 0*p**2 - p**2 + 0*p**2 + 5*p**2. What is k(g(z))? -16*z**4 Let q = -2/191 + 239/4584. Let s(w) be the third derivative of -w**2 + 0*w**3 + 0*w + q*w**4 + 0. Let z(f) = f. Give s(z(l)). l Let r(g) = -7*g**2. Let t(z) = -4*z**2. Let d(l) = 6*r(l) - 10*t(l). Let o(m) be the first derivative of 3*m**2/2 + 76. Give d(o(i)). -18*i**2 Let u(y) = -2*y**2 - 19. Let t(m) = 225*m - 3. What is u(t(c))? -101250*c**2 + 2700*c - 37 Let b(j) = -6
{ "pile_set_name": "DM Mathematics" }
o base 4 -101 What is 2 (base 14) in base 12? 2 Convert 232 (base 6) to base 2. 1011100 Convert 41 (base 10) to base 14. 2d What is -3 (base 14) in base 5? -3 Convert 0 (base 6) to base 16. 0 What is -3 (base 6) in base 3? -10 Convert -10 (base 16) to base 11. -15 Convert 5 (base 15) to base 3. 12 121 (base 4) to base 13 1c 1 (base 15) to base 12 1 -16 (base 12) to base 13 -15 Convert 6 (base 15) to base 5. 11 Convert 5 (base 8) to base 14. 5 What is 16 (base 14) in base 8? 24 What is -32 (base 9) in base 14? -21 10 (base 9) to base 7 12 Convert -2 (base 13) to base 4. -2 Convert 36 (base 7) to base 11. 25 What is 1 (base 16) in base 15? 1 Convert 2 (base 11) to base 14. 2 Convert 10 (base 4) to base 9. 4 Convert -13 (base 6) to base 2. -1001 What is -112 (base 10) in base 3? -11011 What is 10 (base 11) in base 8? 13 What is -3220 (base 4) in base 5? -1412 What is 1a4 (base 12) in base 16? 10c Convert 37 (base 13) to base 5. 141 Convert d9 (base 14) to base 12. 13b 9 (base 12) to base 15 9 4 (base 8) to base 14 4 Convert 36 (base 12) to base 6. 110 What is 11 (base 7) in base 5? 13 Convert 5 (base 9) to base 3. 12 What is -26 (base 12) in base 3? -1010 Convert -1021 (base 3) to base 10. -34 -8 (base 16) to base 8 -10 What is -312 (base 6) in base 10? -116 Convert 16c (base 14) to base 10. 292 What is -c (base 16) in base 2? -1100 What is -5 (base 9) in base 13? -5 201 (base 4) to base 13 27 What is -74 (base 14) in base 3? -10210 What is 32 (base 4) in base 12? 12 23 (base 15) to base 4 201 What is 3 (base 4) in base 8? 3 What is 78 (base 13) in base 5? 344 Convert -3 (base 15) to base 4. -3 1 (base 10) to base 15 1 Convert -3 (base 15) to base 10. -3 What is -10011 (base 2) in base 10? -19 What is -1122 (base 3) in base 8? -54 What is -421 (base 5) in base 10? -111 Convert 15 (base 16) to base 9. 23 What is b (base 15) in base 8? 13 Convert 9 (base 10) to base 12. 9 Convert -72 (base 15) to base 13. -83 5 (base 14) to base 2 101 What is -1 (base 9) in base 5? -1 -105 (base 9) to base 8 -126 Convert 0 (base 4) to base 7. 0 What is b (base 13) in base 12? b -120 (base 9) to base 4 -1203 Convert 11 (base 9) to base 5. 20 8 (base 10) to base 14 8 -3 (base 8) to base 15 -3 What is 102 (base 4) in base 14? 14 -28 (base 10) to base 7 -40 -1052 (base 6) to base 12 -188 102 (base 5) to base 10 27 23 (base 7) to base 11 16 151 (base 7) to base 12 71 What is 6 (base 12) in base 2? 110 -4 (base 16) to base 9 -4 Convert 1232 (base 4) to base 6. 302 -77 (base 16) to base 13 -92 What is 0 (base 16) in base 14? 0 Convert 24 (base 5) to base 7. 20 Convert 11 (base 2) to base 14. 3 What is -2 (base 3) in base 2? -10 What is -140 (base 5) in base 3? -1200 What is 7 (base 15) in base 12? 7 What is 403 (base 9) in base 14? 195 -1210 (base 3) to base 10 -48 What is -a (base 11) in base 15? -a Convert -31 (base 4) to base 14. -d 30 (base 8) to base 16 18 Convert -120 (base 6) to base 9. -53 Convert -dd (base 16) to base 8. -335 -50 (base 8) to base 16 -28 What is 9 (base 10) in base 16? 9 What is -1 (base 14) in base 11? -1 Convert 1001 (base 2) to base 6. 13 Convert -1010 (base 2) to base 4. -22 Convert 140 (base 13) to base 14. 11b Convert -2d (base 14) to base 16. -29 What is 122 (base 6) in base 15? 35 Convert 120 (base 3) to base 8. 17 -5 (base 14) to base 3 -12 6 (base 14) to base 4 12 What is 3 (base 5) in base 7? 3 -7 (base 13) to base 12 -7 -10 (base 7) to base 9 -7 Convert 1001 (base 2) to base 7. 12 What is -2 (base 3) in base 16? -2 3 (base 6) to base 14 3 Convert -9 (base 11) to base 2. -1001 Convert 10 (base 2) to base 16. 2 What is 1 (base 14) in base 4? 1 Convert -13 (base 7) to base 4. -22 -12 (base 16) to base 14 -14 -18 (base 9) to base 5 -32 What is -3 (base 6) in base 13? -3 Convert -54 (base 6) to base 2. -100010 Convert -1 (base 16) to base 2. -1 What is 0 (base 15) in base 11? 0 Convert -38 (base 13) to base 8. -57 What is 31 (base 9) in base 2? 11100 Convert -100100010 (base 2) to base 10. -290 Convert -41 (base 15) to base 12. -51 What is -1a (base 15) in base 7? -34 What is -12 (base 6) in base 11? -8 What is -35 (base 11) in base 14? -2a 23 (base 11) to base 5 100 Convert -3000 (base 4) to base 9. -233 What is 10 (base 3) in base 13? 3 -1 (base 16) to base 12 -1 -1211 (base 3) to base 4 -301 Convert 19a (base 11) to base 8. 346 Convert 33 (base 7) to base 10. 24 What is -3 (base 4) in base 9? -3 What is 142 (base 7) in base 6? 211 What is -254 (base 8) in base 3? -20101 -5 (base 6) to base 14 -5 -9 (base 14) to base 12 -9 -10 (base 9) to base 2 -1001 -13 (base 4) to base 13 -7 Convert -17 (base 10) to base 8. -21 -55 (base 12) to base 15 -45 a (base 15) to base 10 10 Convert -2 (base 3) to base 14. -2 -9 (base 10) to base 11 -9 What is 10101 (base 2) in base 15? 16 Convert -12 (base 9) to base 5. -21 Convert -21 (base 7) to base 13. -12 Convert -3 (base 4) to base 8. -3 What is -15 (base 14) in base 3? -201 Convert -10 (base 9) to base 13. -9 16 (base 9) to base 7 21 What is -1 (base 2) in base 13? -1 What is -b (base 16) in base 14? -b -1000 (base 3) to base 15 -1c Convert -f (base 16) to base 10. -15 What is -97 (base 14) in base 10? -133 What is 5 (base 14) in base 10? 5 1 (base 5) to base 14 1 What is -1 (base 8) in base 3? -1 Convert 0 (base 15) to base 5. 0 -22 (base 8) to base 12 -16 Convert -25 (base 9) to base 2. -10111 What is 4 (base 9) in base 7? 4 What is 1112 (base 6) in base 2? 100000100 What is 4 (base 16) in base 10? 4 -73 (base 12) to base 14 -63 5 (base 16) to base 14 5 -5 (base 6) to base 10 -5 What is 88 (base 10) in base 14? 64 Convert 26 (base 10) to base 11. 24 What is -4 (base 15) in base 3? -11 Convert 11 (base 2) to base 9. 3 Convert 0 (base 4) to base 7. 0 What is 1a (base 13) in base 3? 212 110000 (base 2) to base 14 36 What is -e (base 16) in base 5? -24 Convert -10 (base 5) to base 11. -5 Convert 1 (base 4) to base 3. 1 What is -aa (base 11) in base 14? -88 What is -111000 (base 2) in base 3? -2002 What is -8 (base 9) in base 16? -8 29 (base 13) to base 16 23 Convert 0 (base 3) to base 10. 0 -27 (base 13) to base 16 -21 What is 24 (base 5) in base 16? e Convert -4 (base 16) to base 12. -4 What is 23 (base 8) in base 16? 13 4 (base 10) to base 14 4 -11 (base 2) to base 13 -3 What is 1 (base 14) in base 12? 1 62 (base 8) to base 13 3b Convert -71 (base 10) to base 8. -107 Convert 3 (base 16) to base 13. 3 -211 (base 4) to base 16 -25 What is bb (base 12) in base 9? 168 11 (base 5) to base 13 6 1 (base 9) to base 5 1 Convert -12 (base 5) to base 8. -7 -11 (base 9) to base 13 -a Convert -104 (base 5) to base 10. -29 0 (base 7) to base 13 0 -1 (base 16) to base 5 -1 What is -36 (base 8) in base 13? -24 -1 (base 2) to base 4 -1 Convert -1010011 (base 2) to base 5. -313 -1 (base 15) to base 5 -1 Convert -1010 (base 2) to base 12. -a -101211 (base 3) to base 4 -10210 What is 1 (base 11) in base 16? 1 What is -a6 (base 11) in base 2? -1110100 -10 (base 15) to base 10 -15 Convert 133 (base 4) to base 2. 11111 Convert 34 (base 10) to base 11. 31 Convert 4 (base 8) to base 15. 4 0 (base 11) to base 5 0 What is -3 (base 13) in base 12? -3 0 (base 12) to base 5 0 -4 (base 6) to base 3 -11 Convert -10002 (base 3) to base 13. -65 32 (base 5) to base 3 122 Convert 12 (base 4) to base 16. 6 -102 (base 4) to base 5 -33 Convert -2 (base 5) to base 8. -2 What is -30 (base 10) in base 12? -26 What is -137 (base 8) in base 5? -340 What is -1011 (base 2) in base 3? -102 Convert 11 (base 3) to base 2. 100 -15 (base 11) to base 12 -14 Convert 114 (base 6) to base 13. 37 -41 (base 9) to base 4 -211 Convert -2 (base 9) to base 5. -2 Convert -1112 (base 4) to base 6. -222 Convert -220 (base 6) to base 12. -70 111101 (base 2) to base 15 41 What is 3 (base 11) in base 10? 3 What is 4 (base 5) in base 3? 11 What is 75 (base 9) in base 8? 104 Convert 0 (base 2) to base 12. 0 What is 129 (base 12) in base 7? 342 Convert 12 (base 3) to base 10. 5 -307 (base 8) to base 11 -171 What is 3 (base 12) in base 2? 11 0 (base 8) to base 3 0 Convert 13 (base 6) to base 4. 21 -38 (base 9) to base 3 -1022 What is 2 (base 7) in base 14? 2 Convert 92 (base 10) to base 4. 1130 What is -12 (base 3) in base 12? -5 -15 (base 16) to base 13 -18 177 (base
{ "pile_set_name": "DM Mathematics" }
dkd when four letters picked without replacement from dggggwggddxdkxgk. 1/910 Calculate prob of sequence kixv when four letters picked without replacement from vuxxvvvxviukxxxxikx. 5/2907 Calculate prob of sequence cnn when three letters picked without replacement from knckknknnkkknnk. 1/91 Calculate prob of sequence xfg when three letters picked without replacement from xxiifzizzgigisi. 2/1365 Four letters picked without replacement from kezeeezzrye. What is prob of sequence yzek? 1/528 Three letters picked without replacement from yylylzllly. What is prob of sequence zly? 1/36 Two letters picked without replacement from {m: 12, t: 7}. What is prob of sequence mt? 14/57 Three letters picked without replacement from {k: 5, z: 15}. Give prob of sequence kzk. 5/114 What is prob of sequence kkg when three letters picked without replacement from {c: 1, k: 4, u: 1, g: 1, h: 5}? 1/110 Calculate prob of sequence ww when two letters picked without replacement from wfwffwwwwwwwww. 55/91 Three letters picked without replacement from {a: 4, v: 8, h: 8}. Give prob of sequence ahv. 32/855 What is prob of sequence vm when two letters picked without replacement from {m: 1, l: 2, v: 2, d: 1, t: 1}? 1/21 Calculate prob of sequence ddp when three letters picked without replacement from {d: 2, r: 2, h: 3, b: 2, p: 6}. 2/455 What is prob of sequence wwkk when four letters picked without replacement from kkwnknwknk? 1/126 Three letters picked without replacement from {k: 8, i: 7, t: 3}. What is prob of sequence kkt? 7/204 Four letters picked without replacement from {q: 1, m: 1, l: 1, r: 1, e: 1}. What is prob of sequence mlre? 1/120 Four letters picked without replacement from oiiitioirauuiriaro. Give prob of sequence oauu. 1/6120 What is prob of sequence lxa when three letters picked without replacement from laaxlaalaalaalalal? 35/2448 What is prob of sequence kzlq when four letters picked without replacement from {z: 3, w: 1, k: 3, r: 1, l: 2, q: 3}? 9/2860 Three letters picked without replacement from {l: 2, c: 2, r: 1, a: 5, w: 4}. Give prob of sequence rww. 1/182 What is prob of sequence qmq when three letters picked without replacement from {q: 10, m: 1, i: 6}? 3/136 Calculate prob of sequence fm when two letters picked without replacement from {f: 1, m: 7}. 1/8 Three letters picked without replacement from {x: 1, l: 1, i: 2, s: 1, e: 1, a: 2}. What is prob of sequence xae? 1/168 Two letters picked without replacement from jcchbhcccw. What is prob of sequence wh? 1/45 Calculate prob of sequence fbzz when four letters picked without replacement from izziibfbbib. 1/990 Two letters picked without replacement from crrcdrrrrcggqdrdz. What is prob of sequence cq? 3/272 What is prob of sequence wz when two letters picked without replacement from eewzweewzewew? 5/78 Three letters picked without replacement from {k: 1, g: 1, v: 5, n: 1, b: 1}. What is prob of sequence vbv? 5/126 Three letters picked without replacement from {v: 4, b: 1, h: 2, q: 1}. Give prob of sequence vhb. 1/42 Calculate prob of sequence fs when two letters picked without replacement from sfpjpssffsn. 6/55 Two letters picked without replacement from uhuhr. What is prob of sequence uu? 1/10 Calculate prob of sequence ttsa when four letters picked without replacement from {x: 6, a: 2, t: 2, b: 1, f: 1, s: 5}. 1/2856 Two letters picked without replacement from clltllltllllll. Give prob of sequence ct. 1/91 Calculate prob of sequence aou when three letters picked without replacement from {h: 2, o: 1, g: 1, a: 3, u: 1, y: 3}. 1/330 Three letters picked without replacement from ouoonavvvivv. Give prob of sequence nua. 1/1320 Four letters picked without replacement from {a: 1, u: 3, k: 2, e: 1, h: 1, p: 5}. What is prob of sequence ueka? 1/2860 Three letters picked without replacement from jjjccj. What is prob of sequence cjj? 1/5 Calculate prob of sequence nnd when three letters picked without replacement from ddddddnnddnd. 9/220 What is prob of sequence ct when two letters picked without replacement from {t: 7, c: 9}? 21/80 Calculate prob of sequence yec when three letters picked without replacement from {c: 4, z: 1, y: 1, e: 2, v: 2, i: 7}. 1/510 Four letters picked without replacement from {e: 8, z: 5}. Give prob of sequence ezzz. 4/143 Two letters picked without replacement from {c: 5, u: 3, e: 5}. Give prob of sequence uc. 5/52 Calculate prob of sequence vx when two letters picked without replacement from dwdbbvxvwvwvbvv. 1/35 Calculate prob of sequence qebp when four letters picked without replacement from {q: 4, b: 8, p: 2, f: 2, i: 1, e: 2}. 4/2907 Calculate prob of sequence iiii when four letters picked without replacement from {i: 9}. 1 Two letters picked without replacement from {o: 6, e: 1, s: 1, l: 3, d: 4}. Give prob of sequence el. 1/70 What is prob of sequence tt when two letters picked without replacement from {t: 8, x: 1, p: 6, b: 1, o: 2}? 28/153 Three letters picked without replacement from {b: 5, j: 11}. Give prob of sequence bjj. 55/336 Calculate prob of sequence mz when two letters picked without replacement from {v: 2, h: 1, m: 1, e: 1, u: 1, z: 1}. 1/42 What is prob of sequence tn when two letters picked without replacement from {t: 3, n: 7, d: 4, x: 5}? 7/114 Three letters picked without replacement from {v: 2, l: 6, n: 1, x: 2}. What is prob of sequence xvx? 2/495 Three letters picked without replacement from {a: 3, f: 3, j: 7, g: 3, x: 1, k: 3}. What is prob of sequence jxg? 7/2280 Two letters picked without replacement from {h: 1, b: 2, i: 1, m: 2, f: 1, c: 2}. Give prob of sequence mi. 1/36 Two letters picked without replacement from {v: 2, f: 3, l: 3}. Give prob of sequence vl. 3/28 Three letters picked without replacement from ksookokioioskss. Give prob of sequence oii. 1/273 What is prob of sequence wbbl when four letters picked without replacement from llbdlbdbbbbdbddwlw? 7/1530 Two letters picked without replacement from lqdjgfq. Give prob of sequence qg. 1/21 Four letters picked without replacement from czezuzzevcoc. What is prob of sequence ezec? 1/495 Calculate prob of sequence pu when two letters picked without replacement from {c: 4, p: 2, x: 1, u: 2, w: 1}. 2/45 Calculate prob of sequence xqt when three letters picked without replacement from {k: 1, q: 1, x: 1, m: 1, g: 1, t: 2}. 1/105 Two letters picked without replacement from flcllfrrrl. What is prob of sequence cl? 2/45 Two letters picked without replacement from {v: 6, c: 6}. Give prob of sequence vv. 5/22 Three letters picked without replacement from tjtjttj. Give prob of sequence ttt. 4/35 What is prob of sequence qpe when three letters picked without replacement from {f: 2, z: 1, p: 1, q: 3, e: 1, h: 12}? 1/2280 Two letters picked without replacement from {s: 2, l: 1, f: 4}. What is prob of sequence sl? 1/21 Two letters picked without replacement from ppoqkbpqpopo. What is prob of sequence bq? 1/66 Four letters picked without replacement from {n: 1, u: 2, t: 4, a: 1, l: 2}. Give prob of sequence lnlt. 1/630 Calculate prob of sequence vw when two letters picked without replacement from {w: 2, v: 1}. 1/3 Two letters picked without replacement from {t: 2, u: 1, o: 2, i: 1}. Give prob of sequence iu. 1/30 Three letters picked without replacement from {r: 3, j: 3, t: 1}. What is prob of sequence trt? 0 Calculate prob of sequence pe when two letters picked without replacement from kekkpkckbkkbbkepkce. 1/57 Three letters picked without replacement from wwnoznoowznwowwow. Give prob of sequence nwo. 7/272 Three letters picked without replacement from {q: 3, z: 3, l: 7, k: 2, o: 1, d: 1}. Give prob of sequence oqz. 3/1360 Three letters picked without replacement from drniirwbn. What is prob of sequence wii? 1/252 What is prob of sequence rvv when three letters picked without replacement from {v: 4, r: 4, u: 3, j: 3}? 2/91 What is prob of sequence hxx when three letters picked without replacement from hhhxhhxxhhxxxhhhhhh? 65/969 Calculate prob of sequence evv when three letters picked without replacement from {i: 4, v: 8, e: 2}. 2/39 Two letters picked without replacement from {c: 4, w: 3, a: 1, g: 2}. Give prob of sequence ag. 1/45 Two letters picked without replacement from {i: 3, d: 5, o: 1, y: 3}. Give pro
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {l: 12, i: 7}. 28/323 Calculate prob of sequence aq when two letters picked without replacement from {q: 2, y: 1, n: 1, a: 1}. 1/10 Three letters picked without replacement from sccs. What is prob of sequence scc? 1/6 Three letters picked without replacement from cwwwchcjhbyhwyy. What is prob of sequence chj? 3/910 Calculate prob of sequence ps when two letters picked without replacement from {s: 1, d: 1, j: 1, p: 1, f: 3}. 1/42 Four letters picked without replacement from taaat. Give prob of sequence ttaa. 1/10 Calculate prob of sequence eem when three letters picked without replacement from eeesmemmsemmmm. 5/78 What is prob of sequence fmww when four letters picked without replacement from {f: 1, m: 1, w: 2, z: 3}? 1/420 What is prob of sequence ejoy when four letters picked without replacement from {e: 1, j: 1, y: 6, o: 3, t: 8}? 1/5168 Three letters picked without replacement from uubguubuuuuuuubu. Give prob of sequence buu. 33/280 Two letters picked without replacement from {m: 1, g: 5, z: 9, y: 1}. Give prob of sequence mz. 3/80 What is prob of sequence rew when three letters picked without replacement from {e: 6, r: 1, h: 7, w: 2, o: 3}? 2/969 What is prob of sequence nr when two letters picked without replacement from {r: 3, t: 1, n: 4, f: 2, k: 4}? 6/91 Four letters picked without replacement from {s: 2, e: 6, b: 9}. What is prob of sequence ebbe? 9/238 What is prob of sequence szs when three letters picked without replacement from {s: 4, z: 7, o: 4}? 2/65 Three letters picked without replacement from uwlwvuuwlugwalu. What is prob of sequence lva? 1/910 Two letters picked without replacement from {j: 3, q: 2, m: 4, g: 2, h: 2, a: 2}. What is prob of sequence jj? 1/35 What is prob of sequence ggc when three letters picked without replacement from ccccgccgc? 1/36 Two letters picked without replacement from {m: 3, x: 3, i: 1}. Give prob of sequence xi. 1/14 What is prob of sequence csu when three letters picked without replacement from {g: 1, u: 1, c: 2, s: 1}? 1/30 Three letters picked without replacement from {p: 7, z: 12}. Give prob of sequence ppp. 35/969 Two letters picked without replacement from pppppipppippp. What is prob of sequence ip? 11/78 What is prob of sequence mw when two letters picked without replacement from {m: 7, w: 3}? 7/30 Three letters picked without replacement from {u: 1, p: 2, f: 1, h: 1, x: 1, j: 1}. What is prob of sequence jpp? 1/105 What is prob of sequence fm when two letters picked without replacement from {j: 1, f: 6, s: 2, m: 3}? 3/22 What is prob of sequence tmc when three letters picked without replacement from mkoeottcemoccmmmotcm? 1/95 What is prob of sequence ld when two letters picked without replacement from lttddlddldld? 2/11 Calculate prob of sequence vv when two letters picked without replacement from {v: 4, g: 16}. 3/95 Four letters picked without replacement from frhrfrrrffrdrrrrmwrh. What is prob of sequence rfhw? 11/14535 Calculate prob of sequence dhhd when four letters picked without replacement from dddhpdhddppdhq. 3/286 Calculate prob of sequence uu when two letters picked without replacement from uuuu. 1 Calculate prob of sequence gf when two letters picked without replacement from ffffffffgffff. 1/13 What is prob of sequence ll when two letters picked without replacement from {l: 9}? 1 Four letters picked without replacement from cppjujlncnjn. What is prob of sequence jncu? 1/660 Two letters picked without replacement from {n: 6, r: 7, w: 1}. Give prob of sequence wr. 1/26 Three letters picked without replacement from {m: 14, p: 5}. What is prob of sequence mpm? 455/2907 Calculate prob of sequence ie when two letters picked without replacement from {e: 2, i: 2, l: 2}. 2/15 What is prob of sequence wi when two letters picked without replacement from {i: 2, p: 4, d: 2, w: 1}? 1/36 Calculate prob of sequence mmv when three letters picked without replacement from {v: 2, l: 4, d: 1, m: 4, j: 2, p: 2}. 4/455 Three letters picked without replacement from {y: 5, c: 2}. What is prob of sequence ccy? 1/21 Four letters picked without replacement from qkmnkqmsnkknqq. Give prob of sequence kkqk. 4/1001 Two letters picked without replacement from rpdmwhh. What is prob of sequence rm? 1/42 What is prob of sequence rzr when three letters picked without replacement from {f: 1, z: 4, r: 8}? 56/429 Two letters picked without replacement from llfuuf. Give prob of sequence ul. 2/15 Two letters picked without replacement from wwkkkpwpwkkwwkmyk. Give prob of sequence ww. 15/136 Calculate prob of sequence txyt when four letters picked without replacement from {x: 5, y: 4, t: 2}. 1/198 Four letters picked without replacement from ddzzbxxddbdzxdx. Give prob of sequence dxbd. 2/273 What is prob of sequence nnn when three letters picked without replacement from {d: 3, n: 3}? 1/20 Two letters picked without replacement from oqmorirmomrimrmr. Give prob of sequence mm. 1/12 Calculate prob of sequence ns when two letters picked without replacement from {w: 1, s: 1, y: 1, n: 3, g: 1}. 1/14 Three letters picked without replacement from ffhhhh. What is prob of sequence fhf? 1/15 Calculate prob of sequence qqdd when four letters picked without replacement from dddddqddqd. 1/45 What is prob of sequence dtu when three letters picked without replacement from {j: 1, d: 2, u: 1, t: 1}? 1/30 Three letters picked without replacement from ayaayaaayayaaaaayy. Give prob of sequence yay. 5/68 What is prob of sequence ifii when four letters picked without replacement from {f: 5, i: 3}? 1/56 Three letters picked without replacement from {s: 8, x: 5}. What is prob of sequence xss? 70/429 Calculate prob of sequence enep when four letters picked without replacement from {i: 2, k: 1, e: 1, n: 1, p: 9, s: 1}. 0 Calculate prob of sequence th when two letters picked without replacement from zvthuuh. 1/21 What is prob of sequence lklk when four letters picked without replacement from {k: 9, l: 3}? 2/55 Four letters picked without replacement from bcwbtwtbwccbcwt. Give prob of sequence cccw. 4/1365 Three letters picked without replacement from {o: 5, r: 1, e: 4, y: 5, i: 1}. Give prob of sequence eyi. 1/168 Two letters picked without replacement from cccccckeckccec. What is prob of sequence ce? 10/91 Calculate prob of sequence zzzz when four letters picked without replacement from {z: 9}. 1 Two letters picked without replacement from {m: 1, v: 5, p: 1, e: 1, n: 1}. What is prob of sequence vv? 5/18 Calculate prob of sequence lv when two letters picked without replacement from lcvwkvlvkkvwkwvvw. 3/68 Four letters picked without replacement from torio. What is prob of sequence oior? 1/60 Three letters picked without replacement from {m: 1, j: 17}. What is prob of sequence jmm? 0 What is prob of sequence vc when two letters picked without replacement from {c: 3, j: 1, o: 1, b: 4, k: 4, v: 1}? 3/182 Four letters picked without replacement from pzpppppppcnp. Give prob of sequence pppp. 14/55 What is prob of sequence rwbb when four letters picked without replacement from {o: 1, w: 9, b: 2, r: 6}? 1/680 Four letters picked without replacement from {z: 4, y: 7, c: 6}. What is prob of sequence cccz? 1/119 What is prob of sequence ve when two letters picked without replacement from {l: 3, e: 5, v: 1, a: 1, m: 10}? 1/76 Calculate prob of sequence tt when two letters picked without replacement from {v: 4, t: 4, z: 5, w: 2}. 2/35 Calculate prob of sequence kk when two letters picked without replacement from kskkkkkskkkskkkksss. 26/57 Calculate prob of sequence hchr when four letters picked without replacement from {k: 1, r: 6, h: 5, c: 6}. 1/102 Calculate prob of sequence bwbj when four letters picked without replacement from {b: 2, j: 1, d: 1, n: 1, i: 1, w: 1}. 1/420 Two letters picked without replacement from hcxgfgfccggcghpxgcfh. Give prob of sequence fg. 9/190 Calculate prob of sequence ia when two letters picked without replacement from okciookcfokakfc. 1/210 What is prob of sequence bbv when three letters picked without replacement from vtbtbtvtbbb? 4/99 What is prob of sequence mo when two letters picked without replacement from mknovmnor? 1/18 What is prob of sequence lm when two letters picked without replace
{ "pile_set_name": "DM Mathematics" }
/2040 Three letters picked without replacement from aaaaaaanaaaanan. Give prob of sequence ann. 12/455 Four letters picked without replacement from jfffjqffkfqkjfjvfj. Give prob of sequence kqvf. 1/2295 Two letters picked without replacement from ubbsmmlllbmmmlms. What is prob of sequence sb? 1/40 What is prob of sequence ny when two letters picked without replacement from yynnnnnnnynnynyvvnyy? 77/380 Calculate prob of sequence aaaa when four letters picked without replacement from abaaeeabeee. 1/330 Two letters picked without replacement from {v: 1, y: 3, w: 4, o: 1, k: 9}. Give prob of sequence ov. 1/306 What is prob of sequence dcs when three letters picked without replacement from {t: 2, s: 1, d: 2, g: 1, f: 1, c: 2}? 1/126 Calculate prob of sequence tp when two letters picked without replacement from xxtptpxptpp. 3/22 What is prob of sequence ciei when four letters picked without replacement from cbeiqqi? 1/420 Calculate prob of sequence ppjj when four letters picked without replacement from pjjjpjjpjj. 1/20 Calculate prob of sequence ogog when four letters picked without replacement from uuuuoggo. 1/420 Three letters picked without replacement from jyypmxy. Give prob of sequence jxj. 0 Calculate prob of sequence cc when two letters picked without replacement from {z: 2, i: 1, c: 2, n: 1}. 1/15 What is prob of sequence bqy when three letters picked without replacement from {b: 1, y: 1, q: 4, m: 3, e: 5}? 1/546 Two letters picked without replacement from {b: 7, f: 1, s: 5, e: 1}. What is prob of sequence sf? 5/182 Two letters picked without replacement from rovvs. What is prob of sequence so? 1/20 What is prob of sequence pfcd when four letters picked without replacement from ttptddddddcddft? 1/4095 Three letters picked without replacement from tttttcctttttt. Give prob of sequence ctc. 1/78 What is prob of sequence jy when two letters picked without replacement from {g: 1, y: 6, j: 1, r: 3, d: 5, b: 1}? 3/136 Two letters picked without replacement from mccmmccmccccmcmccc. What is prob of sequence cm? 4/17 What is prob of sequence fv when two letters picked without replacement from vvviffvvvvvfvvffvf? 11/51 What is prob of sequence xebb when four letters picked without replacement from {e: 2, x: 6, f: 1, b: 2}? 1/330 What is prob of sequence bee when three letters picked without replacement from ebbcecccc? 1/126 What is prob of sequence ghhg when four letters picked without replacement from gghwwgghwgghwggg? 9/910 What is prob of sequence yyy when three letters picked without replacement from yyylyl? 1/5 What is prob of sequence krrr when four letters picked without replacement from {r: 3, k: 1, a: 5}? 1/504 Four letters picked without replacement from lynyynnnnnyntyyy. What is prob of sequence nltn? 1/1040 Three letters picked without replacement from {w: 1, y: 5, r: 2, h: 2, n: 2, l: 2}. Give prob of sequence wly. 5/1092 Three letters picked without replacement from {t: 14, h: 5}. What is prob of sequence htt? 455/2907 Four letters picked without replacement from bpbpdkbkbdbb. What is prob of sequence bkpd? 2/495 Three letters picked without replacement from {m: 1, t: 3, d: 3, i: 4}. What is prob of sequence dii? 2/55 Two letters picked without replacement from {z: 4, q: 3, n: 11}. What is prob of sequence nn? 55/153 Two letters picked without replacement from momojphpjpohhhmm. Give prob of sequence ph. 1/20 What is prob of sequence bfbp when four letters picked without replacement from {b: 6, p: 4, f: 2}? 2/99 What is prob of sequence tow when three letters picked without replacement from {t: 1, o: 1, w: 1}? 1/6 Two letters picked without replacement from {a: 2, z: 3}. Give prob of sequence zz. 3/10 Four letters picked without replacement from {x: 3, r: 4, m: 5, t: 1, c: 1}. What is prob of sequence txcm? 5/8008 Two letters picked without replacement from nuluuun. What is prob of sequence nn? 1/21 Calculate prob of sequence zvz when three letters picked without replacement from zzkyzuznzzzuzvuny. 7/510 What is prob of sequence nnn when three letters picked without replacement from hnnnnhnh? 5/28 What is prob of sequence vu when two letters picked without replacement from uoouuuuuuv? 7/90 Two letters picked without replacement from owiiioiivwiwoiiiiiii. Give prob of sequence iw. 39/380 What is prob of sequence bs when two letters picked without replacement from {s: 15, b: 3}? 5/34 Calculate prob of sequence dnr when three letters picked without replacement from {n: 4, r: 2, d: 5}. 4/99 Two letters picked without replacement from {q: 2, t: 5, l: 11, g: 1}. What is prob of sequence qt? 5/171 Two letters picked without replacement from {e: 2, n: 2, h: 3, k: 3, m: 1, z: 4}. What is prob of sequence zk? 2/35 Four letters picked without replacement from mmmommmfmffo. Give prob of sequence fmoo. 7/1980 Three letters picked without replacement from {y: 3, i: 4, u: 5, j: 4}. Give prob of sequence yij. 1/70 Three letters picked without replacement from iiowomiziiwo. Give prob of sequence imi. 1/66 What is prob of sequence iin when three letters picked without replacement from {n: 4, k: 1, x: 4, i: 4, a: 3}? 1/70 Three letters picked without replacement from mmmmmmmmm. What is prob of sequence mmm? 1 Four letters picked without replacement from {e: 3, y: 4, o: 3, r: 4, h: 5}. What is prob of sequence hhrh? 5/1938 Three letters picked without replacement from {i: 1, s: 1, h: 1, p: 2}. Give prob of sequence php. 1/30 Four letters picked without replacement from {n: 5, m: 1, b: 3}. What is prob of sequence bnbm? 5/504 Two letters picked without replacement from {a: 9, y: 3, r: 1, p: 2, z: 1, j: 2}. Give prob of sequence jz. 1/153 Three letters picked without replacement from ogucjuuocccccou. What is prob of sequence gjo? 1/910 Two letters picked without replacement from {u: 3, r: 5, x: 4, o: 1, d: 1}. Give prob of sequence ro. 5/182 Three letters picked without replacement from {e: 1, v: 2, w: 1, a: 1}. What is prob of sequence ewa? 1/60 What is prob of sequence jn when two letters picked without replacement from jwnbc? 1/20 Two letters picked without replacement from {y: 2, r: 2, f: 3, e: 2}. Give prob of sequence ef. 1/12 What is prob of sequence cnck when four letters picked without replacement from {y: 9, c: 2, k: 2, n: 6}? 1/3876 Calculate prob of sequence ukuu when four letters picked without replacement from mqummuuukuuuumquuqum. 11/1292 What is prob of sequence qr when two letters picked without replacement from brbqrprrbparp? 5/156 Two letters picked without replacement from boboyboobox. Give prob of sequence yb. 2/55 Two letters picked without replacement from sjrweeemewesj. What is prob of sequence jr? 1/78 What is prob of sequence ccj when three letters picked without replacement from {j: 1, o: 2, b: 3, c: 1}? 0 Three letters picked without replacement from ccjcccjj. Give prob of sequence ccj. 5/28 What is prob of sequence faa when three letters picked without replacement from fhahhthfa? 1/126 Three letters picked without replacement from aaafaafpffaaffffffa. Give prob of sequence pff. 5/323 Four letters picked without replacement from {n: 6}. Give prob of sequence nnnn. 1 What is prob of sequence yu when two letters picked without replacement from {u: 1, g: 4, y: 4, r: 1}? 2/45 What is prob of sequence sss when three letters picked without replacement from ssssyyyssyyasssys? 3/17 What is prob of sequence mmo when three letters picked without replacement from {m: 10, e: 2, o: 1, x: 1}? 15/364 Calculate prob of sequence haah when four letters picked without replacement from aahaaaaaaaahaaaaahaa. 4/285 Three letters picked without replacement from dkgkkgqdggkdk. What is prob of sequence dkd? 5/286 Calculate prob of sequence be when two letters picked without replacement from pbeebyeppp. 1/15 Two letters picked without replacement from {r: 11, y: 2}. Give prob of sequence yr. 11/78 Four letters picked without replacement from zcnnznzzzczcnz. What is prob of sequence cncc? 1/1001 Four letters picked without replacement from {m: 6, s: 13}. What is prob of sequence smms? 65/1292 Two letters picked without replacement from {s: 1, h: 1, r: 1, v: 1, l: 2, b: 2}. Give prob of sequence vl. 1/28 What is prob of sequence ggf when three letters pick
{ "pile_set_name": "DM Mathematics" }
= -4*p + r, 0 = -5*n + 4*p + 28. Solve 0 = -n*g + 3*g for g. 0 Let z = -33 + 31. Suppose 3*p - 8 = p. Let g = p + z. Solve -3*y + g + 10 = 0 for y. 4 Let d(j) = -12*j + 0*j + 0*j**3 + 2 + 3*j**3 - 2*j**3 + 11*j**2. Let z be d(-12). Suppose 14 = z*g + 4. Solve 0*b = g*b + 10 for b. -2 Let a be (-6)/(-1 - 2/4). Suppose 0 = p + 1 - a. Suppose -17 = p*z - 53. Solve 3 - z = -3*h for h. 3 Let o(d) = d**2 - 6*d - 3. Let f be o(7). Suppose 4*y + 65 = 5*q, 5*q = y + 4*y + 70. Let h be q/6*8/6. Solve h*a - f = a for a. 4 Suppose -2*j + 5 + 7 = 0. Let c = j + -3. Solve 0*u = -c*u for u. 0 Suppose -2*a + 16 + 39 = p, 5*p = 3*a - 50. Let v be (0 + -3 - -2) + 1. Solve v*l - a = 5*l for l. -5 Suppose -3*a = 3*f, -f + 0*a + a = -8. Let m = 0 + f. Solve 7*j - m*j = -9 for j. -3 Let i = -73 + 75. Solve -i*r + 12 = -6*r for r. -3 Let n(t) = 5*t**2 + t + 1. Let q be n(-1). Let p be 4/(-10) - (-12)/q. Let z be (2 - 2)/(-2) + p. Solve -j + 0 = z for j. -2 Suppose -b - 4*t + 4 = 0, 5*t - 4 = -3*b + 1. Solve b = 5*o - 2*o + 3 for o. -1 Let l be (-44)/(-2) - (-2)/1. Let v = l - 8. Solve 0 = o + 3*o - v for o. 4 Suppose 5*u = -t + 2, -t - 2*u + 0*u + 2 = 0. Solve t*q = -q - 9 for q. -3 Let t be 3*(-6)/9*-2. Suppose -t*p = p - 125. Solve -4*f + p = f for f. 5 Suppose -4 = -0*s - 2*s. Solve 9 = s*q - 1 for q. 5 Let r(f) = f - 3. Let w be r(3). Suppose 0 = -3*s - 3*d - 57, 2*d + 6 = -w. Let n be s/12*(-6)/2. Solve n*q = 6 + 6 for q. 3 Suppose -6 = -19*f + 17*f. Suppose 6*s = x + f*s - 19, 4*x = s + 21. Solve -1 = x*u + 19 for u. -5 Let q = 0 - -2. Suppose -4 = -o + q*o. Let f be (-46)/o - (-4)/8. Solve -2*b - 2*b = -f for b. 3 Let m be -3*(3 + -2) + 3. Solve m*c + 2*c = -4 for c. -2 Suppose 2*b + 0*b = 4. Let h = b - -3. Suppose 0 = -p - n - 2*n + 5, 0 = 4*p + 3*n - 11. Solve -p + h = -g for g. -3 Suppose 54 = 3*i + 3*d, 36 = -4*i - 5*d + 110. Let f(v) = v**3 - 15*v**2 - 16*v + 3. Let p be f(i). Solve 0 = 3*u - 2*u - p for u. 3 Let i be 391/69 + (-1 - 1/(-3)). Solve -i*u + u = -20 for u. 5 Let a = -17 + 25. Suppose a*f - 9*f = 0. Solve f = 2*z - 0*z + 8 for z. -4 Suppose 0 = -4*u - p + 24, p - 2 = -u + 7. Solve u*c = 37 - 12 for c. 5 Let t = 22 + -2. Let c be 0*(-3 - t/(-8)). Solve 0 = z - c - 2 for z. 2 Let k = 27 - 26. Solve 1 = 2*a - k for a. 1 Suppose -4*w - 14 = -54. Suppose 2*l = -x - w, -23 + 3 = 4*l. Let h be ((0 - 0) + x)/(-2). Solve h*u + 2*u = -6 for u. -3 Let j = -4 - -7. Suppose 12*m = -8 + 20. Solve -4*i = -j*i + m for i. -1 Let n(t) = t**2 + t + 5. Let r be n(0). Suppose 0 = d + 4*d - 15. Suppose -4*s - 6 = -7*s. Solve -d*b + s = -r*b for b. -1 Let p be 6/(-1) - -3 - -3. Let a = p + 1. Solve 9 - a = 2*v for v. 4 Let g = 33 + -23. Suppose -5*d - 20 = -g*d. Let r = d + -4. Solve 2*u + r*u = 4 for u. 2 Suppose 2*j - 2*x + 22 - 56 = 0, 23 = j - 3*x. Suppose -4*b + j - 2 = 0. Suppose -6*r = -4*r. Solve r = -o - 0*o - b for o. -3 Let b be 4/(-5) - (-1)/(15/27). Solve v + 0*v = b for v. 1 Suppose -2 = 4*r + 6. Let p = 1 - r. Solve -2*i - p = i for i. -1 Suppose 0*s = -s - 3*x, -x + 6 = s. Suppose s*z = 11*z. Solve z = -6*t + 3*t + 9 for t. 3 Let i be -1 - (-9 + 2)*2. Suppose 3*x = -2*x - 3*f + i, -4*x = 2*f - 10. Solve 0 = -x*k - 3 - 7 for k. -5 Let k(j) = -3 - 4 + 4 + j - 6. Let w be k(11). Solve w*h = -0*h + 8 for h. 4 Suppose 0 = -2*i + 4*h + 14, 0 = 2*i - i + 4*h + 5. Suppose 0 = -i*f + 5*f - 6. Solve 8 = x - f*x for x. -4 Let u(c) be the third derivative of c**5/30 - c**4/12 - c**3/3 - c**2. Let r(i) = i + 6. Let t be r(-4). Let d be u(t). Solve 6 = -4*n - d for n. -2 Suppose -2*y = -3*y + 45. Let z be 9/((y/(-6))/(-5)). Solve -2*m - 20 = -z*m for m. 5 Let y(f) = -f**2 + 9*f + 13. Let s be y(10). Solve -g = s*g - 8 for g. 2 Let d = -2 + 4. Let y = 8 + -12. Let c be (-10)/((-2)/y*-2). Solve c = -4*a + d for a. -2 Suppose 2*l = -4*j - 12, 21 = -5*l + j - 31. Let q = 16 + l. Solve 2*i - 4*i + q = 0 for i. 3 Let m be -4*(1 + (-9)/6). Let x = m - -2. Suppose -8 - x = -3*k. Solve -3*n = 7 - k for n. -1 Let p = 66 + -63. Solve p*l - 4 = l for l. 2 Let f be (3 - 4/18) + (-2)/(-9). Solve -2*b - f = b for b. -1 Let q = 45 + -30. Suppose -3*p + 12 = 2*x + p, -3*x - 5*p + q = 0. Solve x = -2*j - 3*j - 25 for j. -5 Let s = -12 - -16. Solve s = 5*g + 24 for g. -4 Suppose -5*c = 3 + 87. Let o = c - -20. Solve -o = -b - 1 for b. 1 Let t = -14 + 10. Let j be (-3)/(-2) + (-10)/t. Solve -8 + 0 = -j*n for n. 2 Let h be ((-8)/20 + 6/15)/1. Solve -5*s + s + 16 = h for s. 4 Suppose 3*u - 5 = -4*n, 3*n - 3*u + 4 = 13. Suppose 11 = -5*l + 26. Solve l*a - n = 1 for a. 1 Suppose 15*r + 1 - 31 = 0. Solve 0 = -3*p - r*p + 25 for p. 5 Let g be 1/3 - 58/(-6). Let k be (8/5)/((-1)/(-15)). Let f be (k/30)/(4/g). Solve 0 = -x - 0 - f for x. -2 Let d be ((-2)/(-12))/((-3)/(-18)). Let b = d + 11. Suppose -n - n = 2*z - b, -24 = -4*z - n. Solve z = -6*x + 4*x for x. -3 Let w = 4 - 6. Let m be w - 2/(-3)*3. Solve 3*c - 6 - 6 = m for c. 4 Let y(m) = 2*m**2 - 3*m**3 + 4*m**2 + 4*m**3 + 3*m + 8. Let d be y(-6). Let o be 2/(-10) + (-2)/d. Solve -1 = k - o*k for k. -1 Suppose 3*l - 9 = 6. Solve l - 9 = 4*m for m. -1 Let z be (2/(-3))/((-2)/9). Let u be z + 2/6*0. Solve -2*i - 1 = -u for i. 1 Suppose 5*l - 10 = -0*l. Solve -3*n + l = -13 for n. 5 Let x(p) = -p - 9. Let r be x(-12). Suppose 5*u - r*d - 6 = 27, 3*d + 3 = 0. Solve -u*i - 5 = -i for i. -1 Suppose 2*x + 0 = 4. Solve x*j - 5*j = 9 for j. -3 Let z(d) = -d**3 + 8*d**2 + 8*d + 3. Let r be z(9). Let a be 2 - 3*r/(-9). Let h be 3/(-1 - -2 - a). Solve h = 2*m - m for m. 3 Suppose 0 = -3*c - c + 16. Solve r = -c*r for r. 0 Let a(k) = -k**2 - 5*k + 4. Let b = 58 + -35. Suppose 0 = 4*i + 3*x + 23, -4*i + 6 = -3*x + b. Let j be a(i). Solve 5*h = h - j for h. -1 Suppose 0*l - 3*t = -3*l - 6, 2*l + 4*t = 20. Suppose 5*i = -l*m + 1 + 22, -2*m = 2. Solve i*w - 29 + 4 = 0 for w. 5 Let s(f) = f**2 + f - 2. Suppose -4*c - c + 22 = -3*t, 26 = 5*c - 4*t. Let l be s(c). Suppose -11 = -l*g + 5. Solve 15 = a - g*a for a. -5 Suppose -m - 2*m = 0. Suppose m = -3*f - 2 + 17. Let r(t) = -t**2 - 5*t. Let s be r(-4). Solve s*i = f + 3 for i. 2 Suppose 0 = -3*p - r + 42 + 3, -5*p = 3*r - 71. Let k = p - 16. Solve k*x = x for x. 0 Let y(s) be the third derivative of s**6/120 - 7*s**5/60 + s**4/4 + 2*s**3/3 + 2*s**2. Let d be y(6). Solve d*o + 2 = -6 for o. -2 Let s(k) = k + 11. Suppose 20 = 5*p, -4*z + p = z + 34. Let q be s(z). Solve -2*j = q + 1 for j. -3 Let l(b) = b**3 - 6*b**2 + 5*b + 2. Suppose -5 - 3 = 2*y. Let o = y + 9. Let s be l(o). Solve -3*t = s*t + 5 for t. -1 Let m(u) = 8*u - 63. Let s be m(9). Solve -4 = 11*w - s*w for w. -2 Suppose -4*m - m = 15. Let f be (-7 + 4)/(m/2). Solve 0*j + j + f = 0 for j. -2 Let x be 0*((-3)/2 + -12 + 14). Solve x*f = f for f. 0 Suppose 8 = 4*o - i, o - 3*i + 1 = -2*i. Solve -2*a = -o*a + 4 for a. 4 Suppose 2 = 5*c + i - 23, -i = c - 9. Solve c*k - 3*k = 3 for k. 3 Suppose -4*q + 2*l + 10 = 0, 2*q - l + 5*l = 0. Let f(m) = -m**2 + 9 - m + 3 + 0*m**q. Let j be f(0). Solve -x - 3*x - j = 0 for x. -3 Let q be 1*(-13 - (0 + -1)). Let p(l) = -l**3 + 8*l**2 - 6*l - 10. Let x be p(7). Let a = x - q. Solve -a = -2*b + 1 for b. 5 Let f = -6 - -18. Solve 6*n - 3*n + f = 0 for n. -4 Let b = 14 - 11. Solve 0 = n + b - 4 for n. 1 Let g be (2/(-14)*20)/(32/(-112)). Solve -6*r - 20 = -g*r for r. 5 Suppose -2*x - 36 = -3*a, 5*x + 12 = a - 13. Let i be 2/a + 48/10. Solve -3*t = -i*t + 10 for t. 5 Let k be 2 + -10*(0 + -1). Suppose 3*x - x = k. Solve 0*o + 2*o + x = 0 for o. -3 Let j be (0 - -1 - 0) + 2. Let s = -3 + j. Suppose s*h - 8 = -4*h + x, -6 = -3*h - x. Solve 0 = -z + h*z - 4 for z. 4 Let c = -15 + 18. Suppose -n - 4 = -c*n. Let k = -1 - -5. Solve -n*j + 0*j = k for j. -2 Suppose 2*z + 8 = 0, 0 = 5*y - 4*z + 2*z - 28. Solve -25 = y*o + o for o. -5 Let j be -2 - -2 - -5 - 3. Let r be 0/2*2/4. Let y = r + 2. Solve j = -y*z + z for z. -2 Let o = 5 + 9. Let b = o + -7. Solve -b + 2 = p for p. -5 Let w be (-105)/(-75) + (-3)/(-5). Solve -s - 3 = w*s for s. -1 Suppose 0*d = -5*d - 20. Let o be 36/21 + d/(-14). Solve -o*m + m - 5 = 0 for m. -5 Suppose -3*b = 3*j + 6, -2*b + 0*b = j + 7. Let g(u) = -7*u + 3. Let x be g(b). Suppose 0 = -z - 5, -p - x = -2*p + 3*z. Solve 4*a - 3 = -p for a. -5 Let a be ((-140)/(-42))/(4/6). Solve -7 = -3*j
{ "pile_set_name": "DM Mathematics" }
/7)? 9/2 Evaluate 3/(-21)*(0 - 1) - 16830/1386. -12 What is the value of 1/(-12)*((-13)/(-39) - (-603)/(-27))? 11/6 Calculate (-17 + 1 - -7) + 552/48. 5/2 490/(-38) - (-11)/((-275)/(-325)) 2/19 What is (10203/(-570) + 18)/((-6)/8)? -2/15 Calculate 44/(-66)*6/(-12). 1/3 What is the value of 24/(-10)*(-350)/84*36/(-60)? -6 What is the value of (-25)/(25/8)*7/(-14)? 4 What is ((-2)/6)/((-59)/(-42 - 489))? -3 What is the value of 4/50*(-20 + 33 + 36/(-2))? -2/5 What is (2516/221 + -12)/(-2)? 4/13 Evaluate (18/45)/(20/(-25))*-10. 5 What is the value of ((-232)/(-870))/(32/(-36))? -3/10 (-8)/(-3) + 0 - 6765/1845 -1 What is the value of (-8)/6 + (-3395)/19740*-8? 2/47 What is (-2)/20 - (-30545)/(-2050)? -15 What is the value of 16 + (29 - 56) - -30? 19 What is 84/9*(-12)/14? -8 Evaluate ((-56)/(-44))/((-15)/165). -14 15456/(-920) + 15 + 1 -4/5 Calculate (-1)/((-15)/6) - (-41 - -40). 7/5 What is 20/18 + (-260)/(-1872)? 5/4 (1125/270 - 5)*-42 35 Calculate (6 - ((-189)/(-147))/(3/15))*1. -3/7 Evaluate ((-12)/(-5))/(292/730). 6 Evaluate (-6)/(-105)*-1*(2 - 7). 2/7 Evaluate 23/(529/(-138))*(-3)/(-1). -18 What is 1*15/(-15)*(-4 - 14)? 18 Calculate (-99)/(-540) - ((-22)/8 + 3). -1/15 (-2)/2 - (-44)/77*-14 -9 What is the value of (11/(-10) - (-2)/(-4))/(332/(-3735))? 18 What is the value of 66/(-429) + 616/2821? 2/31 What is the value of (235 - 234) + 2/(-8) + 25/(-12)? -4/3 What is the value of 6 + ((-42)/39 - -9) + -14? -1/13 What is the value of 453/(-302)*((-22)/12 + 2)? -1/4 What is (6 - (-3066)/(-462))*-11? 7 What is 2/16 + 1 + 2 + (-71)/(-8)? 12 Evaluate -3 + 176/(16 - 24). -25 Calculate -2*2/(-12)*879/(-1465). -1/5 What is the value of (-8)/(-84)*3*(-140)/90? -4/9 -1*(168/(-21) - -4) 4 What is (-62)/260 - ((-4)/(-50))/(2/(-5))? -1/26 What is the value of -4 - 2 - (-2)/(-3)*1722/(-196)? -1/7 What is the value of (-1060)/(-44) - 1020/935? 23 What is (-8)/(-16)*((-672)/(-1068))/14? 2/89 Calculate 9/((-14364)/589) + (1/(-1))/(-3). -1/28 -17 + 23 - (194/24 + 14/21) -11/4 Evaluate 460/(-115) + 126/32. -1/16 Calculate ((-1)/((-84)/(-15)))/(20 - 920/48). -3/14 What is the value of -2*(-15)/7*((-6)/(-12) + -4)? -15 What is (22086/4090)/(18/40)? 12 What is 2/(-32) + (-385)/(-528) - (-28)/(-39)? -2/39 What is -15*37/(-3330)*2*12? 4 Evaluate 328/(-720) - (-90)/225. -1/18 What is the value of (-490)/18865*(7 + 0)? -2/11 (-3550)/213*((-1)/3 - (-66)/36) -25 Calculate (-18)/45 + (-76)/20. -21/5 What is ((-3)/(-13))/((-36423)/(-24921))? 3/19 Evaluate (-1)/((-225)/(-18)) - ((-1712)/(-1100) + -2). 4/11 What is 2/(-16)*26 - (-39 + 36)? -1/4 Evaluate ((-11)/((-110)/6))/(1/(2/6)). 1/5 ((-14)/196)/(18/72) -2/7 Calculate (4/6)/((-436)/10464). -16 What is (-1)/2*(-21 - 1998/(-90))*5? -3 What is the value of (-12 + (-81)/(-6))/((-6)/40)? -10 1/2 + 63/6 + 114 + -118 7 What is the value of (-465)/(-20) + 204/272? 24 What is the value of -16*6/27*9/4? -8 Calculate 2 + (-19)/38 + 13/(-10). 1/5 What is the value of 282/(-39) + 9/39 - -1? -6 Calculate (1 - (-42)/(-5)) + (720/(-75) - -9). -8 Calculate (-6 - -14 - 19) + (-276)/(-25). 1/25 Calculate (-4)/14 + (-400)/20 + 21. 5/7 (26/39)/(20/(-45))*-2 3 Evaluate (-3)/4*35/(910/104). -3 Calculate (-3)/((-459)/(-2)) + 88/(-396). -4/17 What is the value of ((-1)/18)/((-14)/210) + 451/(-66)? -6 Evaluate (-14)/(-10) + (-2)/5 - 11. -10 219/(-90) - (-1881)/(-2090) -10/3 What is the value of ((-8)/10 - 7176/(-10920))*(-2)/(-6)? -1/21 What is (-20)/4 + 52/10 + 224/(-20)? -11 Calculate (-21)/28*(1 + 66/(-18)). 2 What is the value of 1/3 - (-3 + 290/15)? -16 ((-495)/405)/(7/(-63)) 11 Evaluate (8 + -17 + 12)/(-7). -3/7 Calculate ((-27)/(-144))/(17/68). 3/4 (-28704)/(-30360) + (0 - (-6)/(-15)) 6/11 Calculate 184832/15360 + 2/(-60). 12 (8 + -1)/((2/14)/((-116)/(-406))) 14 Calculate (-34)/68 - (-62)/9*(-69)/(-1012). -1/33 Evaluate (944/(-1180))/(8/(-50)). 5 What is 1 + (387/(-24) - -15)? -1/8 What is the value of 2/(-205)*-5 - (-30)/(-615)? 0 Calculate 14 + -16 + (-34)/(-14). 3/7 What is the value of (3 + 114/(-30))/((-5 + 3)/(-40))? -16 Calculate ((-847)/22 + 37)/((-2)/(-4)). -3 Calculate -16 + (-6090)/(-320) - (-33)/(-11). 1/32 What is ((-9)/15)/(-322*27/(-630))? -1/23 Calculate 1/(1/(-3)) + ((-105536)/1122)/(-32). -2/33 -6*(3/(-15))/(22/165) 9 What is the value of (1 - 21/15)/(-24*(-9)/180)? -1/3 Calculate ((-1513)/(-119) + -13)/(-2). 1/7 What is the value of (-1140)/855*(-6)/(-1)? -8 What is the value of (-1188)/154*(-140)/(-40)? -27 Calculate ((-150)/(24 - -1))/(8/(-28)). 21 Evaluate (-10)/12*(-466)/1165. 1/3 Calculate (-34)/3 + (-76)/(-228). -11 Calculate (((-720)/21)/24)/((-24)/14). 5/6 What is the value of 2/22*-1 + (11424/(-176) - -89)? 24 Evaluate ((-380)/(-3192))/(5/9). 3/14 What is ((-2)/36)/((-2)/(-6))*(-5)/35? 1/42 (-9)/84*(-2048)/144 + 6/(-9) 6/7 What is the value of (84/(-30))/((32/(-20))/(-4))? -7 What is the value of (-29785)/16317 + 10/9? -5/7 What is the value of (0 + (-544)/(-80) - (-2)/10) + -8? -1 Evaluate -239 + 256 - (-189)/(-11). -2/11 Evaluate 284/168 + (-385)/462. 6/7 Calculate (-44)/14 + 58/406. -3 What is (3/((-6)/(-34)))/(-1)? -17 Evaluate (-282)/(-22) + (-79)/((-62568)/144). 13 ((-43 - -39) + 1*3)*(5 + 2) -7 What is the value of ((-40)/(-12))/5*3/10*-1? -1/5 ((-34)/(-7))/(160/560) + -8 9 Calculate (-12)/(-44) - 174/(-13398). 2/7 Evaluate 2/1*1*215/(-258). -5/3 (-6880)/2150*3/(-4) 12/5 Calculate (11/(-165))/(152/(-2660)). 7/6 What is the value of 8/(-15)*5*609/(-580)? 14/5 Calculate 40/(-6)*-1 + 3*(-35)/63. 5 Calculate (6/(-8))/((-39)/(-26) - 34/24). -9 What is the value of -4*(-20)/400*-35? -7 Calculate (-2*(392/32 + -12))/(1/(-18)). 9 What is (-10 + (7 - 33/(-9)))/((-14)/6)? -2/7 Evaluate 120/21 + (-3 - 3)*1. -2/7 Calculate 282/48 + (-6)/(-12) + -7. -5/8 8*(-6981)/2184 - -25 -4/7 Evaluate 35*55/((-5775)/(-60)). 20 Calculate (1600/(-75) + 0/(-10))*(-3)/(-2). -32 Evaluate (177 - 12)/11 + 3059/(-203). -2/29 Evaluate (4/6)/(256/(-5376)). -14 (-36)/(-6) + -10 + (-42)/6 -11 What is the value of 71712/2376 - (-2)/(-11)? 30 Evaluate -13 + (-14 - 1634/(-57)). 5/3 Calculate (-874)/138 - (-15)/(6/2). -4/3 What is -8 - (2 - (-75)/15)? -15 (-85)/(-17)*28/35*(-3)/6 -2 Evaluate 1/(6/(-14))*2470/(-8645). 2/3 What is the value of (1520/80 - 219/12)/(2/(-64))? -24 Calculate 46/69 - (-8)/(-6). -2/3 Calculate 140/(-525) - ((-3335)/975 + 3). 2/13 Calculate (33/(-495)*-20)/((-2)/9). -6 Calculate (508 - 584)*(-1)/4. 19 What is the value of 284/9 + 3140/7065? 32 What is the value of (5844/487)/(3/(-9))? -36 (-12)/19*6498/(-513) 8 What is the value of ((-28)/(-8))/(-2 - 20/(-8))? 7 Calculate 8 - 0*5/60*-6. 8 (8 - (1 - -8))*-4*(-1 - -2) 4 What is 16/(-464)*319/(-44)? 1/4 (-6 - 9 - -6) + -3 + 15 + -6 -3 Calculate 2/(-2088)*-90*8/10. 2/29 What is (4/(-1))/(-8 - 1554/(-185))? -10 What is 108/(-3)*(-28)/(-924)? -12/11 31524/(-9656) + (-8)/34 -7/2 Evaluate 3 - ((-1644)/(-528) - 3/(-12)). -4/11 What is 63/(-54)*(-6)/28 + 46652/1744? 27 ((-27)/(-81))/(1/(-6)) - (-3 - 5) 6 Evaluate 13 + (-657)/51 - (-310)/(-34). -9 Calculate 2/(-2)*(7 - (-7 + 13)). -1 What is 34 + -7 + (-56)/(-4) + -19? 22 What is (35/(10 + -220))/(86/(-12))? 1/43 Calculate (-88)/7 - 345/805. -13 (-6)/4*((-54)/(-9) + 66/(-9)) 2 What is 16/(-84)*(4 - 1) - (1 - 1)? -4/7 Evaluate -15 + 20 + -23 - 0. -18 (24 + 943/(-46))*(-8)/(-252) 1/9 (509 + -506)/(1/(-10)) -30 Calculate 846/(-4653)*(-33)/36. 1/6 ((-10)/(-825))/((-328)/(-820)) 1/33 Evaluate (-6)/(-2)*2*16/11232*-6. -2/39 Evaluate ((-400)/(-3900))/(4/(-6))*-13. 2 2*-2*1/(-20)*5 1 What is (5/2)/((-5)/(-60)*(-6)/(-2))? 10 What is 4/24*-4*(8 + (-6)/2)? -10/3 Calculate (-1 - -6) + -253*(-25)/(-275). -18 What is 20/(-160) - (-2)/8? 1/8 Calculate (33 - 34)/(2/(-4) - (-30)/45). -6 What is the value of ((-279)/1085*18/(-27))/((-2)/(-5))? 3/7 What is 342/42*(-1)/(-3) + (-16)/6? 1/21 What is ((-279)/62)/(8/16)? -9 Evaluate -6 - (-14 + (-1 + 4)*(-112)/(-84)). 4 What is the value of -1 - (-64)/(-11) - (360/44)/45? -7 14/63 - (472/18 + (-10 - -10)) -26 What is the value of 1419/172*96/(-72)? -11 Calculate (0 - -44)/1*(-664)/2656. -11 What is the value of -36 + (8 - (5 - 20))? -13 What is (-20)/14*(-1541)/7705? 2/7 What is the value of 1230/(-2583)*(-12)/10? 4/7 Evaluate 7 + (-3840)/135 - (-64)/144. -21 ((-4392)/(-3294))/(1/18) 24 14/10*(16/(-280
{ "pile_set_name": "DM Mathematics" }
*2*u + 60820*u**2 + 10 What is the first derivative of -b**2*c - 256*b**2 + 231*b - 4650*c**4 - 16*c**2 + 2 wrt c? -b**2 - 18600*c**3 - 32*c Differentiate -68673782*m*r - 69158323*m wrt r. -68673782*m What is the third derivative of -524*s**5 + 12664*s**4 - 36324*s**2 - 510*s wrt s? -31440*s**2 + 303936*s Find the third derivative of -41644825*d*z**3 + 2*d*z**2 + 9*d - 38*z**2 + z + 41 wrt z. -249868950*d Find the second derivative of -373*u**4 - 10377*u**2 - 270687546*u wrt u. -4476*u**2 - 20754 What is the third derivative of 206086868*h**3 - 61002*h**2 + 6*h + 34? 1236521208 Find the second derivative of 3*m**3*z**4 - 4280762*m**3*z**2 + 5*m**3*z - 6*m**3 + 6*m**2*z - 10*m*z - 951*z wrt z. 36*m**3*z**2 - 8561524*m**3 Find the second derivative of 24*j**5 - 62*j**3 + 3*j**2 + 6230594*j. 480*j**3 - 372*j + 6 Find the first derivative of -8919643*z**4 + 12865668 wrt z. -35678572*z**3 What is the second derivative of 3*q**4 + 404852*q**2 - 2*q - 504024 wrt q? 36*q**2 + 809704 Find the third derivative of 12325560*i**5 + 3423456*i**2 - 4*i. 739533600*i**2 What is the third derivative of -139196536*b**5 - b**4 - 207*b**2 - 24*b - 926? -8351792160*b**2 - 24*b Find the second derivative of 7804*h**5 - 9232*h**3 - 552987694*h. 156080*h**3 - 55392*h What is the derivative of 14485298*t**2 + 8916469? 28970596*t Differentiate -4185*m**4 + 8419*m + 35138242 with respect to m. -16740*m**3 + 8419 What is the second derivative of 25530060*l**2*q - 3*l*q + 198*l + 3*q - 411 wrt l? 51060120*q Differentiate 74*c**2 - 1786194*c + 544284243 with respect to c. 148*c - 1786194 What is the third derivative of -373441757*t**3 - 643385904*t**2? -2240650542 What is the third derivative of -34143785*y**6 + 1060*y**2 + 83*y + 100 wrt y? -4097254200*y**3 What is the second derivative of -2*b**3*g**3 - 24529409*b**3*g - 16*b*g + 16145*b + 4*g**3 wrt b? -12*b*g**3 - 147176454*b*g Differentiate -10*i*u**3 - 18172020*i - 10*u**3 - 42977*u**2 - 2*u with respect to i. -10*u**3 - 18172020 What is the third derivative of -1277*q**4 + 11142*q**3 + 2*q**2 - 13481048 wrt q? -30648*q + 66852 What is the first derivative of q**2 - 5764472*q + 9367693? 2*q - 5764472 Find the third derivative of -5573337*g*i**3 + 4*g*i**2*w - g*i**2 - 7*g*w - 55*g + i**3*w + 2*i**2 - 60*i*w wrt i. -33440022*g + 6*w Find the third derivative of 478116825*a**3 + 2*a**2 - 20483153*a + 2. 2868700950 Find the third derivative of -56639435*g**3*y**2 - 9*g**2*y**2 - 265*g**2*y - g*y**2 + g*y + 3*y**2 - 8*y wrt g. -339836610*y**2 What is the first derivative of -978*i**4 - 59298*i**3 - 212667017? -3912*i**3 - 177894*i**2 Find the second derivative of -1361*f**2*r**2*w + 8557*f**2*w + 8*f*r**2*w - 134442*f*r*w + f*r - 3*r**2 wrt f. -2722*r**2*w + 17114*w What is the first derivative of -31920*l*r + 140*l + 637*r - 7629 wrt l? -31920*r + 140 Differentiate -5*b**2*u - 5257*b**2 - 2412*b*u + 268*b - 17*u with respect to u. -5*b**2 - 2412*b - 17 Differentiate 7*n**2*t + 50804477*n**2 - 2*n*t + 1324973*t + 283 with respect to n. 14*n*t + 101608954*n - 2*t Differentiate 1897447*n - 3010200. 1897447 What is the third derivative of -10*m**6 - 7134*m**3 + 2509876*m**2 - 2*m - 3 wrt m? -1200*m**3 - 42804 What is the second derivative of -350359805*r**5 + 19016*r - 1700 wrt r? -7007196100*r**3 Find the second derivative of -8030512*s**2 - 792322369*s. -16061024 What is the third derivative of 1658997*q**6 - 11327953*q**2 wrt q? 199079640*q**3 Differentiate -69888481*u - 74659673 wrt u. -69888481 What is the third derivative of -40*y**4 + 295715*y**3 + 17189*y**2 - 38*y wrt y? -960*y + 1774290 What is the first derivative of 24051840*y + 21570102? 24051840 What is the third derivative of -235525154*w**6 + 2*w**2 + 145233*w + 3 wrt w? -28263018480*w**3 Find the third derivative of 8044652*v**3 + 11868233*v**2. 48267912 What is the derivative of 4023179*m + 3731803 wrt m? 4023179 Find the third derivative of -10152972*u**6 - 118398*u**2 + 11*u - 2 wrt u. -1218356640*u**3 What is the second derivative of 331281675*i**2 + 1350*i - 5492 wrt i? 662563350 Find the second derivative of -54629467*v**5 - 1031654*v + 1 wrt v. -1092589340*v**3 Find the second derivative of -27022235*c**2*k + c*k + 7596*c + 2*k - 5 wrt c. -54044470*k What is the third derivative of -60045176*t**3 + 8132040*t**2 - 2*t? -360271056 What is the third derivative of 3*b**4*n**2 - 610820*b**3*n**2 - 3*b**3 + 13292*b**2 - 376*n**2 wrt b? 72*b*n**2 - 3664920*n**2 - 18 What is the second derivative of 2*l**2*q**2*s**2 - 2513*l**2*q*s**2 + 2*l**2*s - 76250848*l*q**2*s**2 + 11690*l*q - l*s wrt q? 4*l**2*s**2 - 152501696*l*s**2 What is the derivative of -1446*d*k**2 + 842*d + 3*k**2 + 1156*k + 13 wrt d? -1446*k**2 + 842 What is the second derivative of 49561*g*j**2 + 141116*g*j + 302*g + 1131*j**2 - 3*j wrt j? 99122*g + 2262 Find the second derivative of -56076180*c**3*l + c**2*l + 846*c*l - 242*c - 47*l wrt c. -336457080*c*l + 2*l Find the first derivative of -71*f**3*p + 557687*f**3 + 22370*f**2*p - 2*f**2 + 5*f*p + 4*f - 5 wrt p. -71*f**3 + 22370*f**2 + 5*f What is the first derivative of 3594*a**3 - 129*a**2 - 8590503? 10782*a**2 - 258*a Find the first derivative of 1015880575*n - 577685017. 1015880575 What is the first derivative of 87912777*f*u + 6393*u - 585 wrt f? 87912777*u Differentiate -7202*h**2*i + 55003*h*i**2 + 139*i**2 - 1067646 with respect to h. -14404*h*i + 55003*i**2 Find the second derivative of -11847267*o**2 - 10944358*o wrt o. -23694534 What is the derivative of 98489*t**3 + 102*t**2 + 79267359? 295467*t**2 + 204*t What is the second derivative of -87*d**2*p**3 + 3923*d**2*p + d*p**3 - 20905*d*p**2 - d + 3*p - 1 wrt p? -522*d**2*p + 6*d*p - 41810*d Find the third derivative of 50313877*p**3 + 2*p**2 + 8515579*p wrt p. 301883262 What is the third derivative of 15716605*k**5 + 6782026*k**2? 942996300*k**2 What is the third derivative of -2*j**3*y**4 - 2*j**3 + 196764454*y**6 - 65975904*y**2 wrt y? -48*j**3*y + 23611734480*y**3 Find the third derivative of -65*j**3*u**3 - 7*j**3*u**2 - 2*j**2*u**3 - 68911*j**2*u**2 - 3176*j*u**3 + u**2 wrt u. -390*j**3 - 12*j**2 - 19056*j Differentiate -562*a*d**3*q**2 - 445816*a*d**3*q - d**3*q**2 + 8652*d*q**2 + 19*q**2 + 17 with respect to a. -562*d**3*q**2 - 445816*d**3*q What is the first derivative of 1394*f**3 + 12758*f - 37587378 wrt f? 4182*f**2 + 12758 Find the first derivative of 134811*t**3 - 130*t + 10040223. 404433*t**2 - 130 What is the second derivative of 369382571*y**3 + 6085*y - 410 wrt y? 2216295426*y Find the third derivative of 21800845*a**3*g - 2*a**2*g - a**2 + 20*a*g - 3379*g - 1 wrt a. 130805070*g Find the third derivative of -843886481*i**3 - 551343520*i**2. -5063318886 Find the second derivative of o*w**2 + 95*o*w - 10*o - 141172963*w**2 + 3*w + 900 wrt w. 2*o - 282345926 Differentiate 3316738*h*v**2*w**3 + 2*h*v + 218181*h*w**3 - 6*h - v*w**3 wrt v. 6633476*h*v*w**3 + 2*h - w**3 What is the third derivative of -96732655*m**4 + 2*m**3 - 156715662*m**2 wrt m? -2321583720*m + 12 Find the second derivative of 6*a**3*f**2 - 6*a**3*f - 2489*a**3 - 24033*a*f**2 - 7*a*f - 11*f**2 - 3 wrt a. 36*a*f**2 - 36*a*f - 14934*a Find the third derivative of -44040715*b**6 + 2*b**5 + b**2 - 27095712*b wrt b. -5284885800*b**3 + 120*b**2 What is the second derivative of 5700476*k**2 - 14631406*k? 11400952 What is the second derivative of -5*h**3*n**2*y - 7209*h**3*n*y + 39*h*n*y - 3*h*y + 1685076*n**2 wrt n? -10*h**3*y + 3370152 What is the third derivative of -55148535*c**5 - 2*c**3 - 85080384*c**2? -3308912100*c**2 - 12 Find the second derivative of -16553*x**4 - 1352*x**3 - 13*x + 81704. -198636*x**2 - 8112*x What is the second derivative of -12537864*o**2 - 16376705*o? -25075728 What is the first derivative of 776158*l**2*z - 1452*l**2 + 12*l*z**2 - 2*l*z + 83*l + 38 wrt z? 776158*l**2 + 24*l*z - 2*l Find the third derivative of -51255*c**4 - 266*c**3 + 60108*c**2 + 606 wrt c. -1230120*c - 1596 What is the second derivative of c**2*r**3 + 36*c**2*r*y - 39*c**2*y + 2*c*r*y + 6422057*r**2*y - 10*r*y - y wrt r? 6*c**2*r + 12844114*y What is the first derivative of 192781112*q**2*y + 807225*q**2 + 196 wrt y? 192781112*q**2 Differentiate 5*d**4 + 3*d**3 - 335502*d**2 - 12703160. 20*d**3 + 9*d**2 -
{ "pile_set_name": "DM Mathematics" }
6. Let h be b(8). Let d(w) = 8*w**3 - w**2 + w. Let y be d(h). Suppose -4*s - y = -6*s. Is s a prime number? True Suppose v = 3*v. Suppose 3*m = -a - 2*a + 1479, v = -5*a + 4*m + 2420. Let q = a - 237. Is q a prime number? True Let t = -965 + 1745. Let l = -277 + t. Is l prime? True Suppose -16*n + 21*n = -8125. Is n/(-3) + 2/(-3) a composite number? False Suppose 9*p - 4*w - 37827 = 4*p, -4*p - 3*w = -30243. Is p prime? False Let i = 1655 + 7736. Is i a composite number? False Is (11 + (-62)/6)/((-4)/(-40038)) composite? False Let t = 15 - 10. Let c(y) = 141*y - 20. Is c(t) composite? True Suppose 18*d = 19*d - 1189. Is d prime? False Let h be (22/4)/(-2*(-2)/8). Let y = 8 + h. Is y a composite number? False Let a = -4532 - -10155. Is a a composite number? False Let d = -1 - -9. Let v be ((-118)/(-4))/(4/d). Let a = 8 + v. Is a a composite number? False Suppose -7*l - 7 = 21. Is -5 + (-16)/l + 452 prime? False Let r = 19581 + -9828. Is r a composite number? True Let a be 843/(-6)*84/(-7). Let n = 2403 - a. Is n composite? True Suppose 0*l = -2*l - 2*n + 4, 4*l = 3*n + 29. Let u be l/15 + (-8)/(-3). Is 106 - (-1)/(-1)*u composite? False Suppose 3*w - 1167 = 2*p, 0 = w - 2*p - 39 - 354. Suppose -d + 217 = -w. Suppose -f - 655 = -5*b, -51 = -5*b - 4*f + d. Is b prime? True Let y(j) = -78*j**2 - 2. Let s(d) = -d**2 + d - 1. Let o(g) = 3*s(g) - y(g). Suppose -8 = -a - 3*w, -2*a + 5*w - 8 + 2 = 0. Is o(a) a prime number? False Suppose 3*x - 5*a + 2 = -6, 0 = -2*x + 4*a - 8. Let w = 149 - x. Let m = 212 - w. Is m a composite number? False Let z(b) = -36*b + 3. Let m be z(-1). Is -3 - (m/(-1) - -1) composite? True Let s(v) = -187*v + 160. Is s(-27) a prime number? True Let p(n) = n**2 - 11*n + 5*n + 0 + 0 + 5. Let k be p(6). Suppose 611 + 444 = k*w. Is w a prime number? True Let x = 11705 + 15444. Is x a prime number? False Let t be (-1 - (-7702)/6) + (-1)/(-3). Suppose g = 4*w + 1293, g + 4*w - 3*w = t. Is g a composite number? True Suppose -3579 = -2*p + 4231. Suppose -5*u + 0*u + p = 0. Is u composite? True Let f(c) = 1086*c + 13. Is f(3) a prime number? True Let y = 309 - 170. Let p = 1492 + y. Is p prime? False Suppose 0 = 4*t - 2*d - 23588, 5*d = t - 2815 - 3082. Is t composite? False Suppose 3*q + 23 = 3*f + f, 5*f - 31 = 3*q. Suppose -2*i = 2*g - 888, -3*g + f*i - 3*i = -1340. Is g a prime number? False Let n = -61 - -57. Is 179/((4/24)/((-2)/n)) prime? False Let r = -2142 + 6337. Is r prime? False Suppose 24 = 39*b - 36*b. Is ((-389)/(-2))/(b/16) a composite number? False Is 110/(-550) - (-6)/(-5)*-1116 prime? False Let s be 1/(-3) - -1*16/3. Suppose -2*z - s*v + 446 = 0, -2*z + 669 = z - 3*v. Is z a composite number? False Suppose -2*a = 2*c - 20648, 16*a - 10299 = -c + 20*a. Is c prime? False Suppose -4*w - 2039 = -5*b, -4*w + 12 + 4 = 0. Is b a composite number? True Suppose a - 15 = -4*f, 0 = -f - 2*f + a + 6. Suppose f*b + 5 = -5*n, 0 = b + n + 1 - 2. Suppose -2*k + 326 = 4*v, -b*v - 309 - 491 = -5*k. Is k prime? False Let g(c) = 3*c**2 - 2*c + 1. Let o(s) = s**3 - 6*s**2 - s + 7. Let t be o(6). Let u be g(t). Is (97/(-4))/(u/(-40)) composite? True Suppose 123*w + 71951 = 134*w. Is w a composite number? True Let n(g) = g**2 - 36 - 63 + 2. Let c be n(0). Is -4*c/10*5 a composite number? True Let k(g) = 15 - 3 - 5 - 8 + 9*g. Let l be (-1)/(((-4)/(-2))/(-14)). Is k(l) a prime number? False Is 2 + (-56)/22 + (-5113280)/(-2090) a prime number? False Let y = 5917 - 2246. Is y a prime number? True Let i = 4234 + 83. Is i a composite number? True Suppose 3*d = 5*h, -34 - 1 = -5*h - 4*d. Let l be 3/(3/(-2)) + 567. Suppose 4*n - 4*p = 5*n - l, -n - h*p = -562. Is n a composite number? True Is ((-51)/15)/((-4)/1510)*2 a prime number? False Let c = -4 - -6. Suppose c*i + 5 = 2*n - 7, -38 = 5*i - n. Is (5072/64)/((-2)/i) a composite number? False Let f = -214 - -1361. Is f composite? True Let a(g) = 11727*g + 4. Let l be a(1). Suppose 5*r = 5, -q - 4*r + l = 2*q. Is q a composite number? True Suppose -5*a + 2962 = -5*v - 503, 2*a - 3*v = 1390. Is a prime? False Suppose 2 + 83 = 5*y. Suppose 13*x - y*x = -2212. Is x a prime number? False Suppose 4*s + 793 - 15941 = 0. Is s a composite number? True Suppose 7 = 2*a + 3*a - 4*m, 5*m - 22 = -4*a. Suppose 0 = 3*s - j - 109, -2*j - 5 = a. Is s a prime number? False Suppose -7*p - 2*p = -342. Is (4 - 5)/((-2)/p) prime? True Let i(m) = 16*m**3 + 5*m**2 + 6*m + 6. Let t be i(-4). Suppose 0 = -v - 8*v - 14751. Let l = t - v. Is l prime? True Suppose -5*n = -19632 - 7273. Is n a composite number? False Let c(t) = 51*t**3 - 2*t**2 + 3*t + 1. Let v be (2/(-7))/(11/(-77)). Is c(v) a composite number? True Suppose 371204 + 39121 = 75*u. Is u prime? True Suppose 196 + 1985 = 3*g. Suppose -u = -g + 50. Is u prime? True Suppose 10*c - 12*c + 2294 = 0. Let o = c - 498. Is o composite? True Let g = 17 + -32. Let m = g + 25. Is 2*1 - (m + -405) composite? False Suppose -3*k = -2*k - 4. Suppose 2939 = 5*c - k*s, 4*c - 1055 = s + 1294. Is c prime? True Let j(p) = -1485*p - 18. Let i be j(3). Let k = i + 7044. Is k composite? True Let n(l) = 5*l - 1. Let q = -15 - -10. Let b be n(q). Let t = b - -84. Is t composite? True Suppose 6*d + 143 = 7*d. Is d prime? False Let j(q) = 3*q - 15. Let w be j(9). Let g(s) = 7*s**3 - 3 - 4*s**3 + 4*s**2 - 11*s + w*s. Is g(4) composite? False Let w(q) = 428*q + 5. Let a be w(3). Suppose 5*f - 1106 = a. Is f a composite number? False Let p(a) = 5*a + 3. Let n be p(-1). Is (-844)/n*9/6 a prime number? False Suppose -2276 = -11*n + 914. Is (4 - n/3)*27/(-6) prime? False Let z = 17601 + -9706. Is z a prime number? False Suppose -4*i + 2376 = -4*n, -4*i - 2*n + 2390 = n. Suppose 4*m + 1 = 5, 0 = -3*y + m + i. Is y a prime number? True Let l(d) = -14*d - 20 - d**2 + 7*d**2 - 4*d**2 + 11*d**2. Is l(-9) prime? False Suppose -4*v = -2*g - 6844, -v = v + g - 3422. Is v composite? True Let y = 1052 + -565. Suppose 0 = q + 4*c - y, c + 1 = 3. Is q prime? True Is (9 - 973881/(-15)) + 2/(-5) prime? False Let a be 2 - -17 - (1 + 0). Suppose -g + 5 = -2*g + 5*j, 4*j = -2*g + a. Suppose 4*i - g*p - 1243 = 0, -i - 2*p - p = -298. Is i composite? False Suppose -8*m + 5*m = -1119. Is m a prime number? True Let o(u) = 5*u**2 + 12*u - 5. Let q be o(-4). Suppose 5*c - 3894 + q = -f, -f + 3863 = 4*c. Is f prime? True Let f = -6145 + 2836. Is -2*3/18*f prime? True Let o(v) = 42*v**2 + 10*v + 1. Is o(7) prime? True Suppose -104316 + 300683 = 17*c. Is c a composite number? False Let j = 1560 - 2787. Let g = j + 1760. Is g prime? False Suppose -4*m + 210 + 442 = 0. Let x = 320 - m. Is x prime? True Suppose 23617 - 1401 = 8*c. Is c a composite number? False Let b(h) = 9*h + 41. Let r be b(-5). Is (-1)/(-5) + r/5*-741 composite? False Is -1*(-188 + (1 - 4)) a prime number? True Suppose 2*t + 4863 = 3*d, -d + 3*t - 30 + 1651 = 0. Suppose 2*b - 2185 = d. Suppose -b - 42 = -5*y. Is y prime? True Let s(c) = -13860*c**3 + 2*c**2 + c - 2. Is s(-1) a composite number? False Suppose 4*a - 15 = 5. Suppose -a*x = 786 - 3021. Is x a composite number? True Let z = -3714 + 8172. Suppose 4*m + 4*b = 4448, 0*b = 4*m + 2*b - z. Is m a prime number? True Suppose -c - 5*c + 18 = 0. Suppose -4*l = 3*x - 3995, 5*l = -c*x + 2724 + 2266. Is l a prime number? False Let s(j) = 178*j + 1. Let a(n) = -182*n - 5. Let f(x) = -x - 1. Let b(k) = -a(k) + 4*f(k). Let g(t) = -5*b(t) + 6*s(t). Is g(1) a composite number? False Suppose c = 5*o - 38, -5*o + 34 = -o - 2*c. Suppose -3*q + 15 = -0*q. Is (-99 + q)*o/(-2) a composite number? True Let i(m) be the third derivative of 0*m - 3*m**2 + 13/6*m**3 + 0 - 131/12*m**4. Is i(-3) prime? False Suppose 2*w = 2*k + 4, k = -2*k - 5*w + 34. Suppose 6 = -2*a, 581 = -k*c + 2*a + 2570. Let o = c + -208. Is o a prime number? False Suppose 5845 = 5*a - m, -5*a + 4705 = -a + 5*m. Let s = a + -521. Is s a composite number? True Let d(v) = -621*v**3 + 2*v**2 - 4*v - 3. Is d(-2) prime? False Suppose -17254 = -4*d + 3*d - j, 4*d - 5*j - 69043 = 0. Is d a prime number? True Let f = -7 - -13. Let o = f - 1. Suppose o*k = k + 212. Is k composite? False Suppose 3*o - 6*v + 11*v = 12229, 4*v + 12238 = 3*o. Is o a prime number? False Let i be (-285)/(-6)*(29 + -1). Let d be (10/(-20))/(1/i). Let v = d + 1072. Is v a comp
{ "pile_set_name": "DM Mathematics" }
n -8.992, -3, 44, 6? -3 What is the closest to 0 in 0, 2, 1.206, 0.19? 0 What is the nearest to 1 in -0.0292, -2/269, 3? -2/269 What is the closest to 1226.6 in 1, 41, -1/6? 41 Which is the nearest to 9? (a) -0.5 (b) -2/55 (c) -2/113 (d) -0.1 c Which is the closest to 0.2049? (a) -48 (b) -4 (c) -20 b What is the closest to -927152 in 2/17, -4/7, 0.5, 0, 2? -4/7 What is the nearest to 1 in 0.1, 1/38, 5, -40370? 0.1 What is the nearest to -1/7 in -1042, -25, -3/2, 2? -3/2 What is the nearest to -3 in -71, -1/10, 18915? -1/10 Which is the closest to -1? (a) -1/10 (b) -4 (c) -3 (d) -0.3 (e) -1013 (f) -657 d Which is the closest to -0.1? (a) 0.64 (b) 3 (c) 0 (d) -499673 c What is the closest to 348/13 in -2, -18.7, 0.5? 0.5 Which is the nearest to -3? (a) 4 (b) -607.9 (c) 5 (d) 6 a Which is the closest to -5.1? (a) 3/2 (b) -1430 (c) -2 (d) -11 c What is the closest to -0.5 in 1/5, 0.148011, -2? 0.148011 What is the closest to -0.13931 in -0.2, -6, 2/9? -0.2 Which is the closest to 0.25? (a) 2/5 (b) -2/11 (c) -214 (d) -7/2 (e) 0.2 (f) 2/11 e Which is the nearest to -0.1? (a) -0.5993 (b) 438 (c) 1/7 c Which is the closest to -2? (a) 1/197 (b) -3 (c) -0.1 (d) 630 (e) -10/9 e Which is the closest to -687? (a) -2 (b) 1/6 (c) -5 (d) 0.5 (e) -9 e What is the closest to -0.12 in 29/10, -1/11, -5, -1/2? -1/11 Which is the closest to 1? (a) 0.037 (b) 5 (c) -9173/2 (d) 2/5 d Which is the nearest to 0.2? (a) 12 (b) 1/34 (c) -0.1 (d) -0.4 (e) 3519/2 b Which is the closest to 0.16? (a) 53 (b) 1 (c) 2 (d) -7 (e) -6 b What is the closest to 16 in 88/5, 3, -8/237, -4, 0.5, -0.2? 88/5 What is the closest to -1 in 6, 11502, -0.006? -0.006 What is the nearest to 17 in 1/4, 2/7, -0.019, -2, -11? 2/7 What is the closest to 215 in 0.04271, -14, 9? 9 What is the closest to 2/3 in -3, -56/23, 135? -56/23 What is the closest to 51/2 in -451, 2/9, -2/3, -1/4? 2/9 What is the closest to 1/4 in -2/9, -11, -2/19, 2/29, -1731? 2/29 What is the nearest to -8/4935 in -11, 71, -3? -3 Which is the closest to -33? (a) -1/4 (b) 0 (c) 0.2 (d) 0.21 (e) 1.2 (f) 2/19 a Which is the closest to 665? (a) -1 (b) -18551 (c) 4/3 c Which is the closest to -2? (a) 1.33071 (b) 7 (c) 6 a What is the closest to 0.126 in 11/9, 6, 23.7, 2? 11/9 Which is the nearest to -0.02? (a) -0.79 (b) 7420 (c) 2 a Which is the nearest to -4658? (a) -0.14 (b) -24/19 (c) 0.3 b What is the nearest to 10/137 in 8.64, 4, 11? 4 What is the closest to -6 in -1, 1/2, -9.6, -11/13? -9.6 Which is the closest to -134? (a) -23364 (b) -1/4 (c) 3/7 b What is the nearest to -0.1 in 10, -0.89, 0.1, -5, 1? 0.1 What is the nearest to -1/7 in -1, 0.1, -0.01, 4, -4, -0.5? -0.01 Which is the closest to 2/3? (a) 1/1620 (b) -3 (c) 254 (d) 7 (e) -4/5 a What is the nearest to 16 in 2/3, -702, 3/2, -1, -330, 4? 4 What is the nearest to -1 in 22, 0.13, 2/117, 0, -89? 0 Which is the closest to 0.17? (a) 0.4 (b) 1.12 (c) 110 a What is the closest to 1 in 18, 2027/5, -2, -1? -1 What is the closest to 38144 in -5, 2/5, 20? 20 Which is the closest to -0.2? (a) -2560221 (b) 1 (c) -18 (d) 3/7 d What is the nearest to -2/599 in 5, -0.1, -1.86? -0.1 Which is the closest to -1? (a) -311.8 (b) 0.0133 (c) 8/13 b What is the nearest to -0.32 in 0.158, -452, 1/3? 0.158 Which is the nearest to 99? (a) -11 (b) 1.91 (c) 2 c What is the nearest to -0.3 in -0.074, 0, 604, -6? -0.074 Which is the closest to 447? (a) 5/3 (b) -0.1 (c) -2 (d) 5 (e) -1/7 d Which is the closest to 4? (a) -0.2 (b) 49.8209 (c) -2 (d) -4 a Which is the nearest to -4? (a) 0.09 (b) 2/3 (c) -0.4 (d) 24395 c Which is the nearest to -1? (a) -47 (b) -1/1811 (c) -3/2 (d) -4 (e) 4 (f) 2/39 c Which is the closest to 5/9? (a) 0.07 (b) -0.2 (c) 1 (d) 0.32 d What is the nearest to 3/7 in 582/23, 2, 5? 2 What is the closest to -1/4 in 15, 9, 5, 0.5, 1/15? 1/15 What is the closest to 11/8 in 424, -2/7, 5997? -2/7 What is the closest to 0.1 in -198, 12.1, -2, -1/2, -4? -1/2 What is the nearest to 1 in 24, -0.362, -5, 0.257? 0.257 Which is the closest to -2419? (a) -4428/5 (b) -0.4 (c) 5/4 a What is the nearest to 1/3 in -20, -16, -2/59, 0.1? 0.1 Which is the nearest to -1/4? (a) 2 (b) 0.7 (c) -71 (d) -60 b What is the nearest to 0.03 in 4, 0.07, -15477? 0.07 What is the closest to 1/7 in 10, -0.096, 2/39, 0.4, 5? 2/39 What is the closest to 2 in -64, 169, 305? -64 Which is the nearest to 2? (a) -249 (b) -4/7 (c) -0.5 (d) -95 (e) -2/9 e Which is the closest to -2? (a) 82/11 (b) -337 (c) -5 (d) -2/7 d Which is the closest to 1/20424? (a) 4 (b) 11 (c) -0.12 (d) -2/3 c What is the closest to 2/5 in 5.53, 337, 1/5, -41? 1/5 What is the closest to 4 in 0.0469, -32.6, -4? 0.0469 What is the closest to 1 in 460934, 2, 0.11, 1/3? 1/3 Which is the closest to -0.003? (a) 15 (b) 0.3 (c) -5 (d) 8 (e) 0.53 b Which is the closest to 0.22? (a) -0.3 (b) -66.4 (c) 7 (d) 0.45 (e) 0 (f) 8 e What is the nearest to 0 in 34/13, 40/11, -12/5? -12/5 Which is the nearest to -5591? (a) -43/5 (b) -0.5 (c) -4 a Which is the nearest to 20? (a) 6396 (b) 0 (c) -2.2 (d) -1 b What is the nearest to -0.029 in 0.1, 147/46, -4? 0.1 What is the closest to 1.358 in -3/7, 1/4, 3, -56? 1/4 What is the nearest to -11110 in -3, -5, 0.5, 198, -0.3, 5? -5 Which is the closest to 2/91? (a) -31759 (b) -1 (c) -5 (d) 5 (e) 2 (f) -3 b Which is the closest to -64286? (a) 2 (b) 3 (c) 13/4 (d) -3 (e) -3/2 (f) -0.2 d Which is the closest to -1? (a) -0.1 (b) -1017 (c) 110 (d) -1/8 d What is the nearest to -3 in -1.2, 10, 0.4, 261, 3/4, -0.1? -1.2 What is the nearest to 0.04 in -196.7, 0.02, 35, -1? 0.02 What is the closest to 2/5 in -32, 24, 2/7, 3, 66.9, -4? 2/7 Which is the nearest to 44? (a) -0.4 (b) 93 (c) 22/23 c Which is the nearest to -252? (a) 12 (b) 592 (c) 1/3 (d) 0.5 c Which is the nearest to -173? (a) -4/7 (b) 2/55 (c) -0.021 (d) 0 a Which is the closest to 1/1151130? (a) 1/10 (b) 0 (c) -4 (d) -3 b What is the nearest to -9 in 2, 0.01, 10? 0.01 What is the nearest to 6.8 in 2.9, 3/7, -0.3, 2, 17? 2.9 Which is the nearest to 24? (a) -6 (b) -5 (c) -136/5 b What is the closest to 70.915 in -4, 1.4, -3? 1.4 What is the nearest to 5 in 2/323, 2/15, 9, 2/7, -0.002? 9 Which is the nearest to 0.2? (a) 1/1624 (b) 124 (c) -94 a Which is the nearest to 0? (a) 1.1 (b) -7/239 (c) -532 (d) 2/5 b Which is the nearest to 4? (a) -5 (b) -27 (c) -231 (d) 0.4 (e) 3 e What is the nearest to -189/25 in -1/3, 3/34, -8/7? -8/7 What is the nearest to 2/5 in 2/383133, 2/19, 5, -0.1, -1/3? 2/19 Which is the nearest to -1/5? (a) 0.07 (b) 213 (c) 167 (d) 0.118 a Which is the closest to 0.03? (a) -5 (b) -468/11 (c) -1301 (d) -4/3 d What is the nearest to -0.1 in 0, -64, -2.01, 1/20, -6? 0 Which is the nearest to -3.361? (a) -1/4 (b) 0.8 (c) -3/4 (d) 3 (e) -1/2 c What is the nearest to 81 in -182, 25/2, 2, 0.5? 25/2 Which is the closest to -1? (a) 2417 (b) 11644 (c) 2/7 c What is the closest to -0.4 in -0.4, 489, -5, -604/13, 0? -0.4 What is the nearest to -2/213 in 1.004, -5, 12? 1.004 Which is the closest to 2? (a) 5/7 (b) 221 (c) -0.036 (d) -35/4 a What is the nearest to 2 in -1/6, -1, 415, 5411? -1/6 Which is the closest to -2.1? (a) -1 (b) -2 (c) -4930 (d) -3/5 (e) -0.5 (f) -2/9 b What is the nearest to -3840/187 in -0.3, 0.05, 47? -0.3 What is the nearest to -148/405 in 2, -2, -4? -2 What is the nearest to 15 in 3/8, 5957, -0.14? 3/8 Which is the closest to 2/7? (a) 4 (b) 2 (c) -17 (d) -2/104513 d What is the nearest to 0 in 5/11, -2/7, -14056200? -2/7 Which is the closest to 80/4501? (a) -0.2 (b) 0.09 (c) -2/5 (d) 0.2 (e) -2 b Which is the nearest to 2/9? (a) 5 (b) -24908 (c) -2 (d) 0.1 (e) 3 (f) 0.03 d Which is the nearest to -10? (a) 10 (b) -17/507 (c) -1/3 c What is the nearest to 1.9 in 1/3, -2, 41895? 1/3 What is the nearest to 10/171 in -1021, 8, 2, 0.1? 0.1 Which is the closest to 7/29? (a) -24.3 (b) 2/19 (c) 0.01 b What is the nearest to 19 in -0.4, -2, 1665392? -0.4 What is the nearest to -2/3 in -0.2, 2/5, 1118, 0.8, 2? -0.2 What is the nearest to -4/7 in -1.2, -91, -3, -8, -4, 0? 0 Which is the nearest
{ "pile_set_name": "DM Mathematics" }
t t be 2 + -4 - (-7 - 0). Sort -4, m, t. -4, m, t Let z = -251/76 + 39/19. Sort 1/6, -27, z in decreasing order. 1/6, z, -27 Let l be (-1)/(-3)*6/(-2). Let b(g) = 2*g**3 + 7*g**2 + 3*g + 5. Let i be b(-3). Suppose -i*j = -3*j - 6. Sort l, -5, j in increasing order. -5, l, j Let b = -4.7 + 0.7. Let u = 3.9 + b. Let c = 679 + -681. Put c, 0.2, u in decreasing order. 0.2, u, c Suppose v + a + 8 - 5 = 0, 2*v + 9 = -5*a. Sort 0, 11, v, -6 in ascending order. -6, v, 0, 11 Suppose -l + 20 + 7 = -5*u, -10 = 5*l + 4*u. Let v = -34 + 61. Let d = v + -28. Put 4, d, l in decreasing order. 4, l, d Let o = 0 - 0.2. Let h = -120.9 + 121. Sort o, -1/7, h, -3/5. -3/5, o, -1/7, h Let g = -10233 - -2077293/203. Let k = g - 304/3451. Sort 0.3, 1, k. k, 0.3, 1 Let b = 9485 + -9484.96. Suppose -3*k = -5*k + 162. Let p = 407/5 - k. Sort 1, b, p in decreasing order. 1, p, b Let i be 38/9 + -4 + 129/27. Sort 6, -3, -5, i in descending order. 6, i, -3, -5 Let i(b) = b**3 - 4*b**2 - 5*b + 5. Let m be i(5). Let d = 5086 + -5082. Sort d, 3, m, 2 in descending order. m, d, 3, 2 Let s = -45 + 51. Suppose s*h = -4*h - 40. Sort -1, h, 3/8, -0.1 in descending order. 3/8, -0.1, -1, h Let c(h) = -39*h - 663. Let x be c(-17). Sort x, -0.3, 20 in increasing order. -0.3, x, 20 Let l = -1146 + 1147. Sort 9, 2, l, -4 in decreasing order. 9, 2, l, -4 Suppose -4*b = 2*i + 98, 0*i - i - 1 = 0. Let r(c) = 4*c**3 + 4*c**2 + 5*c + 6. Let x be r(-2). Let m = x - b. Sort m, 3/7, 0 in decreasing order. m, 3/7, 0 Let f = 11.8 + -8.1. Let m = f - 1.7. Sort -0.19, m, -2 in ascending order. -2, -0.19, m Let i = -361.4 + 404. Let f = -43 + i. Sort f, -2/7, 9 in descending order. 9, -2/7, f Let s = 21 - 30. Let r = -8.8 - s. Let q = -0.01 - 0.29. Sort r, -3, q. -3, q, r Let f = 948 - 947. Sort 5, 52, 2, f in ascending order. f, 2, 5, 52 Let y = -1514 - -1519. Put y, -2/7, 1/4, -5 in descending order. y, 1/4, -2/7, -5 Let k = -319 - -321. Let w = -0.4 + 4.6. Let o = 4 - w. Sort k, 0.4, o. o, 0.4, k Let c = -0.3 - -0.1. Let r = 1.2 + c. Let w be (2/10)/((-854)/(-305))*-4. Put r, w, 4 in increasing order. w, r, 4 Let c = 5.29 + -7.29. Put 4, 5, c, -12/37 in descending order. 5, 4, -12/37, c Suppose 2*p - 61 = -23. Suppose 4*o - 2*l + 84 = -4*l, -o - 3 = -4*l. Let z = o + p. Sort -5, 5, z in descending order. 5, z, -5 Let g = 12 + -19. Let t = 13 + g. Let n = -4 + t. Sort n, 5, 1/4 in decreasing order. 5, n, 1/4 Suppose 2*c - 175 = -3*c. Suppose 3*o = 15, -o = -g + 6*g - c. Suppose 0 - g = 2*w. Put w, -5, 2 in ascending order. -5, w, 2 Let t be (14 - -1)*(-3 - 25/(-3)). Sort -1, t, 3 in descending order. t, 3, -1 Suppose 5*y + 37 = 107. Suppose 4*v = -y - 14. Let d = -114 + 113. Put d, v, -2 in descending order. d, -2, v Suppose -15 = y + 7*i - 2*i, -3*y - i = 3. Let l be (-1 - (2 + -4)) + -1. Suppose 2*n = -l*n + 4*b - 12, -21 = 4*n - 5*b. Sort n, y, 2 in increasing order. n, y, 2 Let w be (-69)/21 - (-1 + -2). Let i = 5 + -4.5. Suppose -u + 4*u = -p - 9, u - 4*p = 10. Put u, w, i in descending order. i, w, u Let q = 9 - 8. Suppose -5*j = -4*j. Suppose 0 = 3*f, j = 3*m - 0*m - 5*f + 12. Sort q, 0, m. m, 0, q Let k(g) = -2*g**3 - 2. Let z be k(2). Let j be (-20)/(-30) - 32/(-6). Suppose -5*f = -j*f. Sort f, z, -2 in decreasing order. f, -2, z Suppose 43*p + 70 = 48*p. Suppose 17*y = -5*l + p*y + 50, 4*l = 3*y + 40. Put 3, -2, l, -4 in ascending order. -4, -2, 3, l Let m(a) = -2*a**3 - 7*a**2 - 3*a. Let b(q) = -q**2 - q + 1. Let w(z) = 4*b(z) - m(z). Let h be w(-3). Let s be (-12)/5 - 8/h. Sort 2, s, 3 in decreasing order. 3, 2, s Let n be 3/(-9) + 138/(-18). Let a = 5 + n. Let y be 7 + 3*2/6. Sort a, y, -2 in increasing order. a, -2, y Let l be 4/(-1*4) - -3. Suppose 4*s = 3*b + 18, l*b = -2*s - b. Suppose -6 = -4*w + w. Sort w, s, -4. -4, w, s Suppose h - 3*h = 20. Let v(a) be the first derivative of a**2 - 13*a - 35. Let q be v(4). Put h, q, 3 in ascending order. h, q, 3 Let o = 7 + -3. Let w = -74 + 74.3. Let b be 3/(57/(-40)) + 2. Sort w, b, o in descending order. o, w, b Let w = 0.6 - -0.4. Let s = 18.08 - 13.08. Sort w, 0, -1/2, s in decreasing order. s, w, 0, -1/2 Let r = 6.0841 + -0.0841. Put r, 2/11, -43 in descending order. r, 2/11, -43 Suppose -8*f = -5*f + 12, 4*f = -v - 21. Let c be (-9)/(-6)*16/6. Let q = -3 + c. Sort -2, v, q. v, -2, q Let z be ((-14)/(-2) + 0)*(-9)/(-21). Suppose 8*n + z = 155. Sort -3, n, 2. -3, 2, n Let o = 1223 - 1225. Put o, 2, 5, -43 in ascending order. -43, o, 2, 5 Let k = 1196 - 9569/8. Put k, -0.3, -3/26 in descending order. -3/26, k, -0.3 Let n be 27/(-6)*1/3. Let o = -1 + 0. Put 4, o, n in increasing order. n, o, 4 Suppose -n - 13 + 5 = -5*z, 4*n + 3*z - 14 = 0. Put -158, -5, n, 5 in decreasing order. 5, n, -5, -158 Let n = 0.9 + -1.98. Let t = n + -2.92. Sort t, -1/4, -0.06, -3 in descending order. -0.06, -1/4, -3, t Let a(f) = -f**2 - 6*f + 4. Suppose -3*w + 5*v - 1 = 0, -w - 3*v - 33 = 2*w. Let s be a(w). Sort s, 14, 4 in descending order. 14, 4, s Let x be ((-404)/16 - 1) + (-3)/(-12). Put 4, 2, x in ascending order. x, 2, 4 Let k(y) = -y**3 + 3*y**2 - 3*y + 4. Let s be k(2). Suppose s*d + 2*z + 8 = 0, -4*d = z + 4*z + 16. Sort d, 9, -0.2 in increasing order. d, -0.2, 9 Let r(p) = 33*p**3 + 2*p**2 + 2*p + 1. Let x be r(-1). Let d = 4/17 + -2175/68. Let k = x - d. Sort 1, -0.1, k. k, -0.1, 1 Suppose 4*v - 4 = 5*x, 4 = -2*x + 8*v - 7*v. Let u = -5 - -8. Let o = -1 + u. Sort -0.3, x, o in increasing order. x, -0.3, o Suppose -3*n + 6 + 9 = 0. Let g be 4/(-14) - 48/(-21). Let q be g/(-10) - 2/(-10). Sort -5, q, n. -5, q, n Let j = -277 - -280. Sort j, -8, 0.2, -2/3 in descending order. j, 0.2, -2/3, -8 Let o(q) be the third derivative of q**5/60 + q**4/4 + 2*q**3/3 - 2*q**2. Let i be o(-6). Let s be ((-2)/i)/(1/(-10)). Sort 1, -5, s in decreasing order. s, 1, -5 Let h = 0.237 + -3.167. Let p = h + -0.07. Sort 5, p, 4 in descending order. 5, 4, p Let r(u) = -18*u + 241. Let p be r(13). Sort -5, 0, p, 2. -5, 0, 2, p Let k = 156.3 - 166. Let r = -81 + 91. Let c = r + k. Sort -0.01, c, 2/3 in decreasing order. 2/3, c, -0.01 Let z = -466.3 - -444. Let h = 22 + z. Suppose 4*t - n - 6 = 0, 5*n + 15 = 5. Sort h, t, -3 in increasing order. -3, h, t Suppose -10*v + 6*v + g + 1 = 0, 5*v = 2*g + 2. Sort 10, v, -2 in ascending order. -2, v, 10 Let d = 0.8 - 0.8. Let i = -116 + 113. Put i, d, -0.5 in decreasing order. d, -0.5, i Let d(c) = -c - 24. Let r be d(-18). Let a(q) = -q - 3. Let m be a(r). Suppose -16 = -m*t + 7*t. Sort 2, 3, t. t, 2, 3 Let r be 408/(-85) - (-4)/1. Sort r, 4, 5, -0.1 in descending order. 5, 4, -0.1, r Let f be 54/(-12) + 5 - (-2 + (-51)/(-24)). Let o = -2 - -1.99. Put -4, f, 0.2, o in decreasing order. f, 0.2, o, -4 Let u(f) = f**2 - f - 4. Let w be u(0). Let l be (-77)/11 - (-40)/4. Let c be (1 - -1)/((-4)/(-10)). Sort w, l, c in descending order. c, l, w Suppose 35*o - 140 - 35 = 0. Put -7, -2, o, 3 in increasing order. -7, -2, 3, o Let k = -8 + 7. Let v = 14/9 + -61/45. Put 2/7, k, v in descending order. 2/7, v, k Let o = 5 + -5. Let u = o + 5. Suppose 34*i - 7 = 41*i. Sort u, i, -0.2 in descending order. u, -0.2, i Let f = 0 - 1. Suppose 0 = -16*d + 9*d - 42. Let z(k) = -2*k**2 - 11*k + 4. Let a be z(d). Put f, 4, a in increasing order. a, f, 4 Let b be 6 + (1*-1)/(33/264). Let t(w) = -w - 2. Let p be t(-7). Suppose -p*g = -4*h - 0*h + 34, -5*g - 29 = h. Sort b, 0, g in descending order. 0, b, g Let x be (4/6*2)/6. Let p be (-1698)/(-10) + 2 + -3. Let d = p + -168. Sort 3, d, x in descending order. 3, d, x Let m = -2 + 6. Let y = -4.3 + m. Let x = 0.4 - -0.6. Put x, y, 2/5 in decreasing order. x, 2/5, y Suppose 3*s - 5 = 5*h, 0 = 3*h - 5*s - 14 + 1. Sort h, 0.39, 0.1 in descending order. 0.39, 0.1, h Let j be (5/(-5) + -1)*(-1)/10. Let m = 65/14 + -9/2. Sort j, m, 3. m, j, 3 Let i = 538 + -542. Sort -7, i, -2, 3. -7, i, -2, 3 Let w(c) = 4*c - 2. Let g be w(5). Suppose 2*n + g = 48. Let v be 3/((-60)/(-35)) + 1/4. Sort -1, v, n in ascending order. -1, v, n Let y = -82.3 + 82. Put y, -4, 0.03 in ascending order. -4, y, 0.03 Let u = -998 - -997. Sort -2/7, 0.03, -0.3, u in descending order. 0.03, -2/7, -0.3, u Let n(d) = -4*d + 3. Suppose -5*b - 2*s = -3*s - 7, 9 = b - 4*s. Let q be n(b). Put -4, 2, q in descending order. 2, q, -4 Let d be (2
{ "pile_set_name": "DM Mathematics" }
(z) = -z**3 - 4*z**2 + 13*z + 9. Suppose 7 = b + 13. Let v be x(b). Suppose 0*t - 5*t = -v*a + 284, -3*a + t + 304 = 0. Is a prime? True Let r = 21574 - 4703. Is r prime? True Let c = 0 - 1. Is c/(1072/1074 - 1) prime? False Suppose 5*o = 3*o + 8. Suppose -2*h = 4, -s - o*h + 783 = -h. Is s a prime number? False Let p = -4420 - -9845. Let f = p + -2952. Is f prime? True Let z(g) = -3 - 7 + 2 + 6*g + 1 + 9*g**3. Is z(2) prime? False Suppose -4*z = 2*z - 1356. Let p = z + 67. Is p prime? True Let b(o) be the second derivative of 4*o**4/3 - o**3/6 - 8*o**2 + 22*o. Is b(7) composite? False Let x(m) = 8*m + 5 + 3*m**2 - 5*m**2 + 2*m**2 + 2*m**2. Is x(9) composite? False Let u be 62/((2/(-2))/(4/(-1))). Let s = u + -57. Is s a prime number? True Let r = -6465 + 11486. Is r composite? False Let g(k) = -k + 10. Let r be g(7). Suppose -4*a + 7*d + 8 = 4*d, d = r*a - 6. Suppose -4*i + 844 = 4*n, 0 = -a*i - 2*i. Is n composite? False Let o be 1*(-3 - (-1 - 2)). Let x(n) = 9*n + o + 169*n**2 - 12*n + 5*n + 2. Is x(-1) a prime number? False Let l(r) = -r - 20. Let o be l(-17). Let h = o + 42. Is h composite? True Let x(m) = m. Let b be x(1). Let r be ((-1180)/(-4))/(0 + b). Suppose 5*f - r = t, 3*t + 62 - 3 = f. Is f composite? False Is 1146/4*(0 - -2) a composite number? True Suppose 0 = -6*w + 33764 - 4778. Is w prime? True Let h = 11312 + -6093. Is h composite? True Suppose -18*g + 37*g - 803681 = 0. Is g prime? True Let g(x) = -x**3 - 15*x**2 + 6*x - 21. Is g(-18) a composite number? True Let u = 19 + -13. Suppose u*s = 3*s + 345. Is s a composite number? True Suppose 105 = z - 0*z. Let n = z + 782. Is n a composite number? False Let r = -77 - -72. Is 1/(r/(-1280 + -5)) a composite number? False Suppose 4*z + 0*z = 76012. Is z a prime number? False Let b(d) = 2546*d - 279. Is b(5) prime? True Let l = -86 - -85. Is (-160 - l)*((-14)/21 - 3) a prime number? False Let s = 170 + -119. Suppose -2*a - 357 + s = 0. Is (7/21)/((-1)/a) composite? True Let k = -2 - -7. Suppose -k*b = -3*x + 12599, 3*x = 7*x - 2*b - 16780. Is x composite? True Suppose -4*v - 4 - 261 = -3*w, 3*w = -4*v + 281. Suppose -5*d - 2*r - 197 = 81, -20 = 5*r. Let n = w + d. Is n prime? True Suppose 14*m + 2*n = 13*m + 2169, 0 = 3*m + 5*n - 6502. Is m a composite number? True Let m be (206/2)/(7/(-35)) - 2. Let j = 754 + m. Is j composite? True Let s(y) = 6*y**3 + 11*y**2 - 17*y + 3. Is s(5) composite? True Is (603/12 + -2 + 1)*20 composite? True Let i = 14 + 6. Let p = 23 - i. Suppose -3*c = -6*j + j - 1417, 0 = p*c + 3*j - 1449. Is c a prime number? True Let b be (-27)/(-5 + (-52)/(-8)). Let h(l) be the third derivative of -l**6/120 - 4*l**5/15 + 17*l**4/24 - 5*l**3/6 - 2*l**2. Is h(b) a prime number? True Suppose -419*k + 95669 = -412*k. Is k composite? True Let b be (4/6)/(10/13605). Suppose s - 2*q + b = 0, 2*s + 1819 = 2*q + q. Is s/(-7) + (-8)/2 a prime number? True Let h = 3648 - 2249. Is h composite? False Let h = 4648 - 1807. Is h a prime number? False Let j(i) be the third derivative of -13*i**7/1680 + i**6/144 - i**5/15 - i**2. Let r(t) be the third derivative of j(t). Is r(-4) a prime number? False Let k = 23834 + -14431. Is k a composite number? False Let y(w) = 6*w**2 + 3*w + 38. Is y(20) prime? False Suppose 0 = -5*o - 3*f + 38918 + 22320, f = 1. Is o composite? True Let l = -10844 - -39633. Is l prime? True Let t(h) be the second derivative of -73*h**3/3 - 3*h**2/2 + 6*h. Let p be ((-10)/15)/(2/3). Is t(p) composite? True Let m = 28 + -51. Let p = m - -26. Let s(f) = 7*f**3 - f - 3. Is s(p) a prime number? False Let n = -34608 - -55351. Is n a prime number? True Let g be (-4)/3*1*21/7. Let r = g + 57. Is r composite? False Let c be 0/(4/6*-3). Suppose c = g - 5 + 2. Suppose -574 = -3*a + x, -2*a + g*a - 187 = -4*x. Is a a prime number? True Let h(d) = d - 6. Let v be h(2). Let f(s) = 12*s**3 + 2*s**2 - s - 3. Let k(c) = 13*c**3 + 3*c**2 - c - 4. Let u(n) = v*k(n) + 5*f(n). Is u(2) prime? False Is 3/(102/4) + (-825747)/(-527) a composite number? False Suppose -2*j = 3 - 9. Suppose j*c + 0*c = 2*y - 214, -5*c + 3*y = 355. Let r = 539 + c. Is r prime? False Suppose -24331 = -7*f - 7580. Is f prime? True Suppose 0 = -12*r - 0*r + 63084. Is r a prime number? False Suppose 3137 = -5*n + 8*n + 5*i, -i = -4. Is n prime? True Suppose 2*u = t + 1986, u + 4*t - 993 = 2*t. Is u composite? True Is -9562*7/35*(-15)/6 prime? False Suppose 37121 = -6*h - h. Let g = h - -2687. Let w = -1361 - g. Is w a prime number? False Suppose 0*j + 47815 = 5*j. Let f be j/2 + 18/36. Suppose 3*y + 3*y - f = 0. Is y composite? False Suppose -i + 2*u + 3601 = 0, 5*u - u - 10833 = -3*i. Is i prime? True Suppose 4*r = -4*l + 65316, 18*l + 65328 = 4*r + 16*l. Is r a prime number? False Let n be (15/2)/(1/18). Let q = n - -394. Is q a prime number? False Let z(f) = -f**2 + 6*f - 8. Let p be z(4). Suppose p = -3*k + 2997 - 636. Is k composite? False Let q = -3768 + 6662. Is q a composite number? True Let d be (-12)/12 - (2 - (2 + 5)). Suppose d = s, -4*k + 3053 = k - 3*s. Is k a composite number? False Let w = 192 + -114. Suppose 81*m = w*m + 3165. Is m a composite number? True Let n be (-6)/24 - 18/(-8). Let g be 698/(n - -1 - 1). Let b = g - 56. Is b a composite number? False Let g = -39470 - -93179. Is g prime? False Let t = 1000 + -693. Is t a composite number? False Let d = 16821 - 9898. Suppose -d = -4*h + 873. Is h a prime number? True Suppose 0 = -86*j + 87*j - 2474. Is j a composite number? True Let q = 1256 + -760. Suppose 0 = 4*r + 5*c - 1933, -r + 7*c + q = 4*c. Is r a prime number? True Suppose 3*o - 119 = g, 2*g = -2*o - 159 - 63. Let b = 159 + g. Is b composite? True Let p = 6407 - 2206. Is p prime? True Let y be 24/8 - 9/(-1). Suppose -3*g = -7*g + y. Suppose -2052 = -g*j - 561. Is j a prime number? False Let c(i) = 7 - 6*i**2 + 8*i**3 - 5*i - 1 - 5. Let s(f) = 24*f**3 - 17*f**2 - 14*f + 2. Let g(m) = 8*c(m) - 3*s(m). Is g(-2) a composite number? True Let s(z) = -975*z - 13. Let p be s(-4). Suppose -3*t = p + 919. Is t/15*20/(-8) composite? True Suppose 2600 = 2*a + 1030. Let k = 294 - 294. Suppose -m = -k*m - a. Is m composite? True Let m(o) = o**3 - 11*o**2 + 15*o - 5. Let k(u) = -u**2 - u - 1. Suppose -2*s - 11 = 5*d, -5*d + 6 = -2*d - 3*s. Let i(h) = d*m(h) - 2*k(h). Is i(10) prime? False Suppose 2*a - 7*a = -750. Suppose -a = 4*s - 626. Is s composite? True Suppose 40*j - 43*j + 143699 = 5*y, 2*j + 4 = 0. Is y a prime number? False Let m = 39 + -45. Is (1 + (-2730)/(-4))*(-12)/m composite? False Let p = -12 - -15. Suppose 0 = -p*q - 9, 3*l - 7*l - 2307 = q. Let x = l - -875. Is x a prime number? False Let m = 12 - 10. Suppose 3*b = -m*b. Suppose b = -6*k + k + 95. Is k a composite number? False Suppose -3*p + 3*y = 3, -3*p + y = 2*y - 17. Suppose p*f - 297 = -a, -f = -5*a + 3*a + 585. Is a a composite number? False Let i = -73 + 72. Is (3987/2 - i) + (-2)/4 prime? False Suppose 0 = -2*i - 3*l + 1, 3*l - 29 = 9*i - 4*i. Let z(r) = r**3 + 5*r**2 + 4*r + 4. Let h be z(i). Suppose 3*p - h = p, 4*p - 1524 = -4*w. Is w composite? False Let b(t) = 80*t**2 - 9*t - 18. Is b(-5) a composite number? False Suppose 2*j + 2*j = 52. Let c(q) = q**3 - 12*q**2 + 10*q + 8. Is c(j) composite? False Let x(a) = 1 + 6*a**3 - 8*a**3 + 6*a**2 - 10 - 2*a. Let u be x(6). Let o = 556 + u. Is o a composite number? True Let h(t) = t**3 - t**2 - t + 1. Let r(z) = -2*z**3 + 4*z**2 + z - 6. Let l(v) = 5*h(v) + r(v). Is l(3) composite? False Let o be 29 - ((-12)/3 + 5). Is (-70)/o + (-1878)/(-4) prime? True Let u be 4 + ((-536)/32 - (-6)/8). Is (-6652)/u*(-3 + 3 + 3) a prime number? True Suppose -2*s - 299 = -3*s. Is -3 + -1 + s + 2/(-1) prime? True Suppose 0*g - 24 = -4*g. Let u(d) = 91*d - 10. Let b be u(g). Let i = b - 199. Is i prime? True Let v(t) be the third derivative of -t**6/60 - t**5/20 - t**4/8 - 5*t**3/6 + 20*t**2. Is v(-6) a prime number? True Let r = -1974 + 2907. Is r a prime number? False Let k = 64 + -61. Suppose 6*p - 2*p - 14669 = 5*j, -5*p = k*j - 18364. Is p prime? True Suppose 5*w + 14 = -f + 254, 250 = 5*w + 3*f. Is w composite? False Let g(f) = -f**3 + 10*f**2 + 9*f - 5. Let n be g(6). Is (-3)/((-3)/(-2)) + n a prime number? True Let b(r) = -23*r + 2. Let f(s) = -s**2 - 14*s - 5. Let c be f(-1
{ "pile_set_name": "DM Mathematics" }
est common divisor of p and d? 40 Suppose 12*n - 11*n = 20. Suppose -2*o - 4*v = -86, -2*v = 2*v - n. Suppose 0 = -2*q - 10, 0 = -5*b - 4*q - 6 + 1. What is the highest common factor of o and b? 3 Let j be 25*(2/(-8) - 15/(-12)). What is the highest common divisor of j and 265? 5 Let p(d) = 8*d - 53. Let t be p(14). Let c = t + -32. Calculate the greatest common factor of 3 and c. 3 Let p(q) = q + 3. Let m = 115 + -111. Let l be p(m). What is the greatest common factor of l and 49? 7 Let u(y) = -2*y - 7. Let m be u(-6). Suppose -m*o + 0 = -140. Let s be (o/7)/((-4)/(-22)). What is the highest common factor of s and 2? 2 Suppose 3*y - 3*c = 2*y + 32, -y = c - 24. Let v = y + 18. Calculate the highest common factor of 11 and v. 11 Suppose 6*l - 2*l - 8 = 0. Let h be (2/l)/((-3)/(-6)). Suppose h - 47 = -3*q. Calculate the highest common divisor of q and 165. 15 Let x be (-2)/(-5) - 65/((-6825)/378). Suppose 5*p + 0*t = -t + 101, -4*p = 4*t - 84. What is the greatest common factor of p and x? 4 Let h(n) = n**3 + 19*n**2 + 11. Let b be h(-19). Suppose 2*w - 183 - 15 = 0. Calculate the greatest common factor of w and b. 11 Let r = 29 + 58. Suppose 5*w + 5*v = 230, 3*v - r = -4*w + 92. What is the greatest common factor of 41 and w? 41 Suppose 3*t = -421 + 1045. Let h(r) = 3*r**3 - 120*r**2 - r + 66. Let y be h(40). Calculate the highest common factor of y and t. 26 Suppose -3*d + 153 = -5*i + 3, 2*d - 2*i = 100. Suppose 3*c = 128 - d. What is the greatest common factor of 39 and c? 13 Let o(n) be the third derivative of -7*n**4/4 + 7*n**3/6 - 13*n**2. Let p be o(-2). What is the greatest common divisor of p and 13? 13 Let m = -8 - -10. Suppose m = 4*o - 58. Calculate the greatest common divisor of o and 165. 15 Suppose h + 2*h = -2*w + 19, -w - h = -7. Suppose -3*l + 53 = w*x, -5*x + 0*l = l - 113. What is the highest common divisor of x and 88? 22 Let i = -3 + 4. Suppose i + 6 = g. Suppose -4*t = -2*z - 140, -23*t + 11*t = -4*z - 420. What is the highest common divisor of t and g? 7 Suppose -9*b + 740 = -1456. Calculate the greatest common factor of b and 4. 4 Let c = -16 + -11. Let l be (-13 - c)*(0 + 4). What is the greatest common divisor of l and 7? 7 Let s(x) = 76*x - 59. Let z be s(4). Calculate the greatest common factor of z and 140. 35 Let h = -3 + 6. Suppose -4*s - 8 = 4*t, -2*t + h*s = -3*t - 6. Suppose -5*q + 55 = -t*q. Calculate the greatest common factor of 55 and q. 11 Let l(r) = 6*r**2 - 5*r + 10. Let z be l(-4). What is the highest common factor of 588 and z? 42 Let l(j) = 2*j + 18. Let x be l(-7). Suppose 3*r + 41 = 5*h, 0 = -h - x*r - r - 3. What is the greatest common divisor of 49 and h? 7 Let i(h) be the first derivative of h**3/3 + 2*h**2 - 2*h + 13. Let l be i(2). What is the highest common factor of 30 and l? 10 Let j be -14 + -2 + 1 + 0. Let f be 5/(-10) - 0 - j/2. Let l(q) = -25*q + 2. Let m be l(-3). Calculate the greatest common divisor of f and m. 7 Suppose -2*z + p + 173 = 0, 4*z + 5*p - 428 + 103 = 0. Calculate the greatest common divisor of 935 and z. 85 Let t(i) = -62*i + 2. Let u be t(1). Let w be (6/10)/((-6)/u). Suppose -b = 1, -j + 4*b = 8*b - w. What is the greatest common divisor of j and 80? 10 Suppose v = 5*t + 12, 2*v - 12 = t - 3*v. Let h be -2 - (-11 - t) - 0. Calculate the greatest common divisor of h and 49. 7 Suppose q = -26 + 42. Suppose 24 = 4*a - q. What is the highest common factor of 2 and a? 2 Let p(b) = -8*b + 8. Let q be p(-9). Suppose -15 = n + 4. Let t = n + 27. Calculate the greatest common factor of q and t. 8 Suppose 112 = -213*x + 221*x. Calculate the highest common divisor of x and 189. 7 Let y = 18 - -5. Suppose -t + 5*t = 16. Let s(m) = 2*m**2 - 9. Let l be s(t). What is the greatest common divisor of l and y? 23 Let s(r) = -r**3 + 8*r**2 - 6*r - 14. Suppose -4*g = 10*g - 84. Let o be s(g). What is the greatest common factor of o and 88? 22 Let x be ((-100)/(-15))/(10/36). Let q = -6 + 24. What is the greatest common divisor of q and x? 6 Let o = -317 + 423. Calculate the highest common factor of o and 2. 2 Let t(f) = -f**3 + 13*f**2 + 2*f + 4. Let l = 11 + -9. Let j = 11 + l. Let i be t(j). Calculate the greatest common divisor of i and 45. 15 Let m = 36 + -31. Let z be 1*(2/m + (-176)/(-10)). What is the greatest common factor of 162 and z? 18 Suppose 0 = 2*m + 4*z - 13 - 13, 3*m + 4*z = 35. Let i = 11 - m. Suppose 2*x + 2*k - 4 = -0, 4*k + i = x. Calculate the highest common factor of 2 and x. 2 Let i(b) = -b**2 + 39*b + 48. Let w be i(40). Let n = 149 - 61. What is the greatest common divisor of n and w? 8 Let u be ((-54)/8)/(22/(-528)). What is the greatest common factor of u and 27? 27 Let k(c) = c**3 - 5*c**2 - 3*c - 14. Let r be k(6). Suppose 5*o + r + 6 = -5*v, 0 = 2*v + 10. What is the highest common factor of 24 and o? 3 Let h = -906 - -911. Let j(x) = x - 6. Let s be j(8). What is the greatest common factor of h and s? 1 Suppose 0 = -f - 3*a + 80, -5*a = -3*f - 6*a + 280. What is the highest common factor of 57 and f? 19 Suppose -16 = 8*i - 6*i + 4*p, -5*p = 4*i + 23. Let m be -2 - 12/i - -26. Let n be 4/(-6) - (-32)/3. What is the greatest common divisor of m and n? 10 Let z = -271 - -103. Let u be (1/5)/(3/(-15))*z. What is the highest common factor of u and 24? 24 Suppose -a - 40 + 128 = 0. Suppose -a = 3*v - 7*v. Let c = 50 - v. What is the greatest common divisor of 42 and c? 14 Let h(u) = -u**2 + 5*u - 2. Let w be h(3). Suppose 10 = w*r - 2. Let t be r + (-1 + -1)/1. Calculate the highest common factor of 9 and t. 1 Suppose 0*p - 112 = 2*g - p, -g + 4*p = 63. Let w = g + 143. Calculate the highest common factor of 11 and w. 11 Suppose 4*j - 131 = 5*c, 0*c = j - 3*c - 31. Let b = -8 + 12. Suppose -q = 5*s - 95 + 29, 0 = -4*q - b*s + 216. What is the highest common factor of j and q? 17 Let w(l) = -2*l**3 - 10*l**2 + 9*l - 12. Let s be w(-6). What is the greatest common factor of s and 654? 6 Let g = -5 + 7. Suppose -105 = -3*y + v, 5*y - 5*v + v - 182 = 0. Suppose g*x - y = 22. What is the highest common divisor of x and 70? 14 Suppose 46 = 10*x - 14. Calculate the greatest common divisor of 10 and x. 2 Let b(w) = -w**2 + 8*w + 1. Let a be b(5). Suppose 6*n - 3*n = 1926. Let z be (1/(-2))/(4 + n/(-160)). Calculate the highest common divisor of z and a. 8 Let z be -2 - 5/20*0. Let x be 161*(1 + (-3 + 1 - z)). What is the greatest common divisor of x and 23? 23 Let y be -4 - (-8)/(1/1). Suppose 2*j - 6 = -2*b + y, -b = -4*j + 25. Calculate the greatest common factor of 2 and j. 2 Let x be 432/(-96)*(17/(-3) - -1). Calculate the greatest common factor of x and 15. 3 Let v = 72 - 71. Let c(i) = 34*i**2 + 2*i - 1. Let a be c(v). Calculate the greatest common factor of 14 and a. 7 Let c(b) = 64*b**2. Let l be c(1). Suppose 0 = m - 4*n - l, 4*m = -7*n + 2*n + 235. Suppose 6*k + m = 11*k. What is the greatest common divisor of k and 132? 12 Suppose -945 = 53*p - 4761. Calculate the highest common divisor of 40 and p. 8 Suppose 2*o + 6 = 0, -j + 2*o + 112 = -436. Let k = 6 + -1. Suppose k*i - j = -102. Calculate the greatest common factor of 8 and i. 8 Let n be 365/20*4 + -1. What is the highest common divisor of 24 and n? 24 Let w be (-5*(-15)/25 - -28)*1. Calculate the highest common factor of w and 7. 1 Let a = -15 - -25. Let m be (-4204)/(-6) - a/15. Let d be m/22 - (-10)/55. What is the highest common factor of 8 and d? 8 Suppose -35*s = -16*s - 760. Calculate the highest common divisor of 80 and s. 40 Suppose -l + 12*l = 44. Suppose -3*o + 46 = -2*b, -5*b + 36 = l*o - 10. What is the highest common divisor of o and 35? 7 Suppose 38*h - 34*h = -8. Let t be (-336)/36*h*6. What is the highest common factor of t and 28? 28 Let f(o) = o**3 + 16*o**2 + 19*o - 32. Let u be f(-13). Calculate the greatest common factor of u and 12. 12 Let c(v) = v**2 + 29*v - 237. Let t be c(8). What is the highest common divisor of t and 1? 1 Suppose 6*k = -n + 3*k + 60, 0 = -k. Let d = -4737 - -4817. Calculate the highest common factor of n and d. 20 Let n be 2*-1*90/(-4). Let g(w) = -15*w - 71. Let u be g(-5). Suppose -4*o - 16 = 0, 8*y - u*o - 26 = 6*y. Calculate the greatest common divisor of n and y. 5 Let r(w) = -w**3 - 8*w**2 - 9*w - 2. Let d = -3 + -4. Let z be r(d). Calculate the h
{ "pile_set_name": "DM Mathematics" }
9 List the prime factors of 87416043. 3, 11, 13, 203767 List the prime factors of 59596452. 2, 3, 41, 43, 313 List the prime factors of 1008959549. 13, 37, 2097629 What are the prime factors of 90562444? 2, 7, 3234373 List the prime factors of 563601320. 2, 5, 67, 210299 List the prime factors of 4608344963. 29, 8887, 17881 What are the prime factors of 171447532? 2, 1597, 26839 List the prime factors of 73955102. 2, 13, 2844427 List the prime factors of 18920277. 3, 700751 What are the prime factors of 631903774? 2, 315951887 List the prime factors of 2653221096. 2, 3, 827, 4951 What are the prime factors of 40020649? 40020649 List the prime factors of 4204724803. 4204724803 List the prime factors of 3044659722. 2, 3, 13, 109, 163 What are the prime factors of 319212504? 2, 3, 13, 257, 1327 List the prime factors of 338476099. 13, 71, 366713 List the prime factors of 1311822301. 19, 69043279 List the prime factors of 57718417. 17, 211, 16091 What are the prime factors of 122841653? 11, 11167423 List the prime factors of 4547103503. 19, 281, 851677 What are the prime factors of 147993962? 2, 71, 1042211 What are the prime factors of 1532176686? 2, 3, 1609, 52903 List the prime factors of 24045995. 5, 151, 31849 What are the prime factors of 258865665? 3, 5, 73, 236407 What are the prime factors of 275407741? 7, 61, 89, 7247 What are the prime factors of 105166525? 5, 199, 21139 List the prime factors of 707292482. 2, 13, 191, 142427 What are the prime factors of 229371038? 2, 13, 17, 71, 7309 What are the prime factors of 444713760? 2, 3, 5, 113, 911 List the prime factors of 664690936. 2, 7, 13, 913037 List the prime factors of 1242820796. 2, 7, 44386457 What are the prime factors of 95141147? 95141147 List the prime factors of 40196400. 2, 3, 5, 19, 41, 43 List the prime factors of 46729271. 73, 640127 List the prime factors of 5590691004. 2, 3, 465890917 List the prime factors of 1070191497. 3, 17, 20984147 What are the prime factors of 23579307? 3, 787, 3329 List the prime factors of 12546626. 2, 37, 43, 3943 What are the prime factors of 5561184? 2, 3, 53, 1093 What are the prime factors of 78097779? 3, 17, 53, 9631 List the prime factors of 250558236. 2, 3, 6959951 List the prime factors of 287806737. 3, 19, 5049241 List the prime factors of 31938712. 2, 13, 307103 List the prime factors of 207332138. 2, 13, 809, 9857 List the prime factors of 361779885. 3, 5, 383, 6997 What are the prime factors of 191653751? 10501, 18251 List the prime factors of 72869791. 149, 479, 1021 What are the prime factors of 282802781? 9769, 28949 List the prime factors of 49192707. 3, 277, 59197 What are the prime factors of 82425279? 3, 29, 947417 List the prime factors of 22695311. 22695311 List the prime factors of 13427165. 5, 71, 109, 347 List the prime factors of 1519973124. 2, 3, 23, 1229, 4481 List the prime factors of 671642324. 2, 17, 19, 101, 5147 List the prime factors of 10076035. 5, 443, 4549 List the prime factors of 224664441. 3, 74888147 List the prime factors of 24339678. 2, 3, 11, 368783 What are the prime factors of 1894948915? 5, 378989783 List the prime factors of 226609949. 17, 13329997 List the prime factors of 174632070. 2, 3, 5, 5821069 List the prime factors of 116949708. 2, 3, 3248603 What are the prime factors of 5131821379? 73, 131, 536633 List the prime factors of 70289313. 3, 23429771 What are the prime factors of 239194293? 3, 13, 6133187 List the prime factors of 5291092563. 3, 17, 167, 621239 What are the prime factors of 59545030? 2, 5, 83, 71741 What are the prime factors of 283026719? 283026719 List the prime factors of 526108044. 2, 3, 7, 11, 17, 33493 What are the prime factors of 399228322? 2, 113, 293, 6029 What are the prime factors of 2666283165? 3, 5, 7, 13, 23, 28309 List the prime factors of 8080168. 2, 17, 19, 53, 59 What are the prime factors of 1635961783? 79, 20708377 What are the prime factors of 144101434? 2, 19, 1033, 3671 What are the prime factors of 20177608? 2, 11, 167, 1373 What are the prime factors of 2800064298? 2, 3, 23, 359, 56519 List the prime factors of 7489188088. 2, 936148511 List the prime factors of 185638973. 13, 137, 104233 List the prime factors of 4946027. 4946027 List the prime factors of 2456987. 13, 188999 What are the prime factors of 105484684? 2, 59, 446969 List the prime factors of 1312383632. 2, 7, 29, 47, 8597 What are the prime factors of 3512264244? 2, 3, 10663, 27449 List the prime factors of 1650356485. 5, 330071297 What are the prime factors of 250723160? 2, 5, 263, 23833 List the prime factors of 14282838. 2, 3, 59, 4483 What are the prime factors of 1212985536? 2, 3, 7, 19, 47501 What are the prime factors of 21550771? 11, 1959161 What are the prime factors of 4182615303? 3, 1051, 1326551 What are the prime factors of 127949550? 2, 3, 5, 852997 What are the prime factors of 64185986? 2, 349, 91957 What are the prime factors of 71243996? 2, 19, 937421 What are the prime factors of 287919149? 7, 5875901 What are the prime factors of 18333964? 2, 11, 269, 1549 What are the prime factors of 4040112? 2, 3, 73, 1153 List the prime factors of 102363576. 2, 3, 7, 609307 List the prime factors of 170205493. 170205493 List the prime factors of 1872037163. 37, 41, 1234039 What are the prime factors of 642265402? 2, 281, 1142821 What are the prime factors of 19794085? 5, 3958817 List the prime factors of 49812661. 19, 61, 42979 List the prime factors of 517089781. 13, 2797, 14221 What are the prime factors of 3364705246? 2, 7, 17, 683, 2957 List the prime factors of 4111189939. 1201, 3423139 What are the prime factors of 254084500? 2, 5, 193, 2633 What are the prime factors of 2808621? 3, 17, 29, 211 List the prime factors of 170462087. 29, 31, 189613 What are the prime factors of 2076974940? 2, 3, 5, 197, 199, 883 What are the prime factors of 3306567094? 2, 1217, 1358491 What are the prime factors of 2097617754? 2, 3, 5309, 65851 What are the prime factors of 151170503? 11, 1249343 List the prime factors of 699066793. 2663, 262511 What are the prime factors of 120345923? 71, 457, 3709 What are the prime factors of 76731102? 2, 3, 7, 608977 List the prime factors of 46123855. 5, 23, 401077 What are the prime factors of 149290691? 11, 1289, 10529 What are the prime factors of 146147792? 2, 7, 131, 1423 List the prime factors of 1032939374. 2, 337, 1532551 List the prime factors of 78385439. 11, 7125949 List the prime factors of 226042143. 3, 41, 1837741 What are the prime factors of 442521786? 2, 3, 7, 113, 93241 What are the prime factors of 3735701138? 2, 13, 3229, 44497 What are the prime factors of 5383029070? 2, 5, 8629, 62383 What are the prime factors of 1409705025? 3, 5, 17, 1105651 List the prime factors of 1027119816. 2, 3, 14265553 List the prime factors of 11680431. 3, 7, 556211 List the prime factors of 354943. 17, 20879 What are the prime factors of 88452961? 19, 4655419 List the prime factors of 18939297. 3, 13, 181, 2683 List the prime factors of 178111864. 2, 7, 31, 14657 List the prime factors of 50528327. 50528327 List the prime factors of 71601175. 5, 487, 5881 What are the prime factors of 437437557? 3, 17, 953023 What are the prime factors of 331458799? 7, 79, 599383 What are the prime factors of 560272245? 3, 5, 13, 193, 14887 List the prime factors of 146621914. 2, 191, 463, 829 What are the prime factors of 7157178? 2, 3, 7, 43, 1321 List the prime factors of 417800536. 2, 127, 173, 2377 What are the prime factors of 77449535? 5, 17, 911171 What are the prime factors of 5382208811? 7, 37, 20780729 What are the prime factors of 54682856? 2, 53, 128969 What are the prime factors of 402088920? 2, 3, 5, 3350741 What are the prime factors of 303002116? 2, 75750529 List the prime factors of 48444437. 48444437 List the prime factors of 22401091. 61, 367231 List the prime factors of 2721690. 2, 3, 5, 30241 List the prime factors of 22861837. 22861837 List the prime factors of 177588961. 11, 16144451 List the prime factors of 239867353. 11, 21806123 List the prime factors of 1002809500. 2, 5, 7, 11, 61 List the prime factors of 45834793. 173, 307, 863 List the prime factors of 158385665. 5, 31, 41, 24923 List the prime factors of 92111954. 2, 11, 4186907 List t
{ "pile_set_name": "DM Mathematics" }
y 15.1736 and -0.4. -6.06944 Product of -189846 and -0.3. 56953.8 What is the product of -66000 and -0.2? 13200 What is -0.086011 times -15? 1.290165 0.083 times -3 -0.249 Multiply -1.611 and 0.0677. -0.1090647 -0.01 times 0.0925 -0.000925 Product of -0.430112 and -0.5. 0.215056 Multiply 0.24089 and 0.16. 0.0385424 -3 times -56517 169551 1.06067*0.2 0.212134 -834.9 times -22 18367.8 -957 * -89 85173 -257.7857 times 1 -257.7857 Product of -0.3 and 120508. -36152.4 Product of -0.286 and 178. -50.908 Product of 6 and -0.6767. -4.0602 -324.674*-1 324.674 Calculate -76308*-0.5. 38154 -0.02*15815 -316.3 Work out 634 * -0.09208. -58.37872 71 * 779 55309 What is 0.2265 times 3.33? 0.754245 Calculate -0.226*-0.1278. 0.0288828 -72203 times 0.05 -3610.15 What is the product of -381.85 and 0.2? -76.37 What is 0.4 times 0.7881? 0.31524 Work out 181 * -555. -100455 What is 0.078 times -1233? -96.174 What is the product of 131 and 10269? 1345239 Work out -1868919 * 3. -5606757 -29918 * -17 508606 What is the product of -0.2 and 0.30979? -0.061958 Work out -0.6 * 280612. -168367.2 What is 2 times -584851? -1169702 What is -34 times 0.0538? -1.8292 What is the product of -53.93 and -4? 215.72 Product of -56048 and -0.03. 1681.44 Calculate 107*204. 21828 1274522 times 0.3 382356.6 Multiply -1.07 and -0.05204. 0.0556828 Calculate -231*-1637. 378147 What is the product of 5790450 and -0.5? -2895225 What is 56 times 2.3558? 131.9248 Product of 0.695 and -0.155. -0.107725 Product of -4.0595 and -5. 20.2975 What is 4717 times 0.9? 4245.3 Calculate -53262*-11. 585882 Work out -5 * 594782. -2973910 What is the product of 5.5 and 0.3225? 1.77375 -17 times 204.9 -3483.3 Multiply -0.2 and -6.19. 1.238 What is -7801 times -3? 23403 What is 1 times 363408? 363408 -1980 * 2 -3960 Multiply 5189 and 0.8. 4151.2 Work out 0.06 * 1.1156. 0.066936 What is -46419 times -0.4? 18567.6 Product of -521 and 183. -95343 Work out -0.33 * 0.06092. -0.0201036 What is 86925 times -2.4? -208620 6831*-0.12 -819.72 Product of 0.02 and -3881. -77.62 Calculate 0.02214*0.5. 0.01107 What is the product of 181.12 and 0.051? 9.23712 Product of -0.1 and 353245. -35324.5 3 times -59756 -179268 Product of 105833 and -3. -317499 What is -3859 times 0.06? -231.54 What is 103033 times 3? 309099 Work out -50 * 1522. -76100 Product of -212 and 782. -165784 267 * -31 -8277 0.5 * -279.848 -139.924 -4150.9 times -0.001 4.1509 Product of 20539 and -3. -61617 -51 * -61 3111 What is the product of 572 and -0.92? -526.24 Work out 7818 * -3. -23454 Product of 0.5 and 29557. 14778.5 1*13432 13432 Multiply 426 and 10.1. 4302.6 Product of -13932 and 5. -69660 Calculate 0.2*38988. 7797.6 What is -13.3716 times -0.4? 5.34864 -12.191*5 -60.955 Work out -417435 * -0.4. 166974 Multiply 0.1 and -0.252969. -0.0252969 Calculate 2.9895*-31. -92.6745 43 * -5.512 -237.016 4.56*2502 11409.12 Calculate -2313*23. -53199 Calculate -3*-341107. 1023321 Work out 0.024 * -65. -1.56 Work out -71 * 131. -9301 Multiply -985 and 0.0939. -92.4915 13*-11.32 -147.16 Calculate 0*-74548. 0 What is -28 times 180.433? -5052.124 3*5.19179 15.57537 What is the product of -14.2 and -4615? 65533 Work out 97323.5 * 1. 97323.5 Product of 0.5 and 0.9096. 0.4548 Calculate 4*-4.167. -16.668 What is -3.31594 times -0.4? 1.326376 Product of 21839 and -3. -65517 What is the product of 0.74 and 244.49? 180.9226 Multiply 5.25 and 1774. 9313.5 Multiply -0.08 and 109956. -8796.48 -8.18*-3.4 27.812 Multiply -1.702921 and 0.2. -0.3405842 What is 10069 times 20? 201380 Multiply -45039 and 4. -180156 -0.02 * 153.487 -3.06974 0.54 * -0.2645 -0.14283 8.70422*-1 -8.70422 -5559 times -5 27795 Calculate -1382612*-0.3. 414783.6 -2004*7 -14028 0.3 * 511.74 153.522 Product of 1 and -0.33057. -0.33057 1.3 * 8367 10877.1 -218.3 times 5.5 -1200.65 Calculate 2714.55*0.1. 271.455 Multiply -19338 and 10. -193380 Multiply 0.922 and -0.16. -0.14752 4.721 times -0.2 -0.9442 2.4*-26.9867 -64.76808 -0.04*0.554 -0.02216 Multiply -1.2312 and 15. -18.468 What is -802 times 363? -291126 What is the product of 610188 and -4? -2440752 -0.0083 * -580 4.814 What is -0.4 times 180795? -72318 Work out 0.1 * 6.3173. 0.63173 Multiply 689 and 40. 27560 What is the product of -320 and 14.8? -4736 Product of 3799 and -0.1. -379.9 Calculate 16*-967. -15472 -3 * -837 2511 -2*-8.687 17.374 0.01*-8997 -89.97 What is 0.495 times 1.9? 0.9405 Product of 2 and 0.06794. 0.13588 What is the product of 1000 and -3? -3000 Multiply 217.84 and 0.1. 21.784 Multiply -167 and -2826. 471942 -23 * -13.87 319.01 Work out 7 * 1284. 8988 What is the product of 1200 and 114? 136800 9346 * 2.82 26355.72 Multiply 0.4 and 42.6233. 17.04932 What is the product of -4 and 1.165? -4.66 Work out -0.2699 * 1.8. -0.48582 What is the product of -72274 and -4? 289096 What is 22206.5 times 4? 88826 What is 319.459 times -4? -1277.836 Work out -66.8 * 44. -2939.2 -766.2 times -10 7662 Product of -0.0899 and -0.69. 0.062031 Calculate -1542.3*2. -3084.6 -0.5*161.889 -80.9445 What is the product of 1.5 and -0.3501? -0.52515 What is -72124 times 14? -1009736 What is the product of 5 and -134210? -671050 0.09 * 10883 979.47 Product of 1139 and 1346. 1533094 -1.79 * 2.154 -3.85566 Calculate -1056835*-4. 4227340 Calculate -158.12*-2.6. 411.112 Product of -641 and -8. 5128 -0.3 * 104079 -31223.7 Calculate -3.522*1.8. -6.3396 0.02229 times -101 -2.25129 What is 0.308043 times 0.5? 0.1540215 Multiply 1 and -5331.7. -5331.7 Multiply 3 and 2.0883. 6.2649 Product of 0.0407 and -2213. -90.0691 Product of -53.5555 and -0.2. 10.7111 0.1166 times 22 2.5652 Calculate 0.3*168644. 50593.2 What is the product of 4 and 290? 1160 Work out 11047 * 0.3. 3314.1 1877.5 * -0.1 -187.75 Work out 0 * -16431. 0 -0.13179 times -122 16.07838 Work out 103 * -0.301. -31.003 What is the product of -1.8 and -14191? 25543.8 732.6*2 1465.2 What is -0.3 times -14313? 4293.9 Calculate 1274*6264. 7980336 What is the product of -3 and 4468? -13404 4 times -3795 -15180 9.07*2.2 19.954 Calculate -0.03*23383. -701.49 Multiply -3718 and -0.3. 1115.4 What is 2 times -295.52? -591.04 -0.09 times 3148 -283.32 -217*-44 9548 Product of 3799 and 0. 0 Multiply -0.00908 and -2.5. 0.0227 0*0.6919 0 Calculate -0.1867607*-0.3. 0.05602821 928 * 0.3 278.4 Multiply -0.034 and 2.12. -0.07208 Multiply 0 and 80.11. 0 217188 times 0 0 Calculate 7*-2.9818. -20.8726 What is 49825 times 5? 249125 0.066 times 32586 2150.676 -1413.209*-3 4239.627 168*941 158088 -69*-831 57339 What is 0.08 times -6002? -480.16 0.2*-28053 -5610.6 5 * 3.2685 16.3425 -42 times 79 -3318 Product of -9 and 398. -3582 Calculate -0.104*22922. -2383.888 What is 111 times -4224? -468864 Work out 114 * -0.098. -11.172 Multiply 0.5545 and -28. -15.526 Work out 19 * -2.22695. -42.31205 What is 0.1 times -5180? -518 0.9 times 3454.7 3109.23 -15.714*0.1 -1.5714 Product of -493 and 2.685. -1323.705 What is the product of 0.061 and -41423? -2526.803 What is 3 times 15.8531? 47.5593 Work out -423 * -23.7. 10025.1 Work out 0.319546 * 0.5. 0.159773 Calculate -113239*-0.2. 22647.8 Product of 5 and 0.383952. 1.91976 What is 111100 times -5? -555500 Multiply -8.26 and -105. 867.3 Multiply 34 and 144. 4896 Product of 17 and 6601. 112217 What is 0.5 times 0.11166? 0.05583 Calculate 63*-0.0402. -2.5326 Calculate 4*0.013897. 0.055588 What is 0.08 times -1621? -129.68 Product of -178804 and -1. 178804 -5316*-6 31896 81 times 98 7938 -1 times -0.117451 0.117451 Product of -110 and -2.053. 225.83 What is 343390 times -0.5? -171695 172127 times 2 344254 What is -0.4 times 181361? -72544.4 -6 times 44310 -265860 Product of -138 and -9.07. 1251.66 Product of 167.7 and 0.047. 7.8819 Product of 87295 and 0.2. 17459 -0.01 * -415.99 4.1599 0 times -331.382 0 Product of 25256 and -5.3. -133856.8 0.736*-1.36 -1.00096 -0.2 times 278.545 -55.709 -4*0.2801 -1.1204 Calculate 1.2*85.73. 102.876 Product of 0.1164673 and 0. 0 -16*-388.3 6212.8 What is -0.4 times -2997.72? 1199.088 Calculate 245.5*-2398. -588709 Work out 101 * -197.3. -19927.3 1.19 times -66 -78.54 What is the product of -21.5 and 0.0001? -0.00215 What is the product of 16.6 and -69? -1145.4 Work out 1.1 * 380. 418 0.2*-42526 -8505.2 Calculate 4*-10810. -43240 -94 * -29.2 2744.8 -0.325*170 -55.25 M
{ "pile_set_name": "DM Mathematics" }
*o + 40 = 4*c. Suppose -c*u = p + 4*p + 60, -3*u - 8 = -4*p. Let t(j) = 2*j**2 + 12*j - 6. What is the units digit of t(u)? 6 Let g(z) = 59*z - 34. Let c be g(6). Let o = c - 114. What is the units digit of o? 6 Let g = 13 - 9. Suppose 5*q + d = 467, 0 = 3*q + 8*d - g*d - 287. What is the tens digit of q? 9 Let c = -6 - -42. Let v = c - 9. What is the units digit of v? 7 Let d be 46/(-4)*(-6)/3. Suppose -d = -4*g + 13. What is the units digit of 3/g - (-104)/12? 9 Suppose 0 = z + 3*d - 2663, z + 12*d - 15*d - 2651 = 0. What is the units digit of z? 7 Let p be 8*(5/(-2) + 3). Suppose -p*x = 4*v + 8, 4 = x + 3*x + v. Suppose -3*o = m - 22, 0*m = 5*m - x*o - 25. What is the units digit of m? 7 Suppose 3*x + 5*l - 1802 = -479, 2168 = 5*x - 4*l. What is the tens digit of x? 3 Let t = -2 + 5. Let f = t + 2. Suppose -4*n + 0*b = 3*b - 156, 124 = 4*n - f*b. What is the tens digit of n? 3 Let c = -14 + 5. Let f be c/(-6) - 1/(-2). Suppose 4*z - 41 = z + i, -2*i + f = z. What is the tens digit of z? 1 Let i = 51 - 47. Suppose 3*h - 3*b = -4*b + 472, -i*h + 638 = -3*b. What is the units digit of h? 8 Let f(k) = 26*k - 3. Let y(r) = -805*r + 92. Let i(c) = -92*f(c) - 3*y(c). What is the tens digit of i(2)? 4 Let o(h) be the second derivative of h**5/20 - 17*h**4/12 - 8*h**3/3 - h**2/2 - 4*h. What is the units digit of o(18)? 5 Let l be (-132)/(-108) + (-2)/9. Let m(u) = 147*u**2 - u + 1. Let r be m(l). Suppose -4*y + 61 = -r. What is the tens digit of y? 5 Suppose 2*n = -4*g - 4, 0 = -3*n + 5*g - 3*g + 2. Suppose 435 = 4*a + 3*q, n = 2*a - 3*q - 68 - 127. What is the units digit of a? 5 Let n(c) be the third derivative of -c**5/60 - c**4/3 - 7*c**3/6 + 9*c**2. Let l be n(-7). Suppose 2*b - 68 = -l*b. What is the tens digit of b? 3 Let w = -91 - -70. Let y(d) = -d**2 - 26*d + 27. What is the hundreds digit of y(w)? 1 Let g(t) = -5*t + t + 6*t - 1. Let b be g(3). What is the units digit of (b - 0)*-1*-3? 5 Suppose -l + 6*l + 275 = 0. Let x = 54 - l. What is the hundreds digit of x? 1 Let m(o) = 5*o - 3*o + o - 2*o. Let a be m(1). What is the units digit of (-48)/(-40) + a/(-5)? 1 Suppose 4*a + 302 = 6*a + 5*y, 0 = -5*a - 3*y + 755. What is the tens digit of a? 5 What is the tens digit of (1003 - 8)*3/5? 9 Let u(j) = -j**3 - 15*j**2 + 8*j + 5. Let i be u(-16). Let l be i/(-9) - 4/18. Let h = l - -28. What is the tens digit of h? 1 Let o = 33 + -33. Suppose o = -r, 107 = 2*t - t - r. Suppose -3*y + 6*y - t = -5*x, -4*y - 3*x + 139 = 0. What is the tens digit of y? 3 Let x be (-27)/(-2)*12/9. Let l be (-9)/(-2)*12/x. What is the units digit of 28*1 + l + -2? 9 Suppose 4*h + 5*w = 2928, 2*w = -14*h + 19*h - 3693. What is the hundreds digit of h? 7 Suppose -u + x = 2, 2*u + 2*x = 7*u + 4. Suppose -4*j - 54 + 302 = u. What is the units digit of j? 2 Suppose 0 = -5*o + 2*p - 0*p + 88, 2*o - 4*p = 48. Let n = o + 2. Suppose 50 = 5*d - 2*w - n, -4*w = 2*d - 8. What is the units digit of d? 2 Let i be (-12)/54 - 3026/(-9). Suppose 3*w - i = -w. What is the tens digit of 0/(-4) + w/4? 2 What is the units digit of (-5)/45*-3 + (-4497)/(-9)? 0 Suppose -27*n = 14*n - 12546. What is the tens digit of n? 0 Let r = 25 + -12. Let q = r + -10. Suppose 2*g + 3*g = q*s - 80, 2*s - 44 = g. What is the units digit of s? 0 Suppose -4*k + 16 = 0, -4*w - 1621 = -5*k - 8725. What is the thousands digit of w? 1 Let p(x) = -x**3 + 19*x**2 - 8*x - 9. What is the tens digit of p(6)? 1 Suppose -3*i - 29 = -35. Suppose -15 = 3*f, 2*w = i*f - 0*f + 34. What is the units digit of w? 2 Let r be -9 + ((-6)/3 - -2). Let l = r + 9. Suppose -3*i + 13 + 14 = l. What is the units digit of i? 9 Suppose -6*w + 3*d + 3212 = -w, 0 = 5*w + 4*d - 3219. What is the tens digit of w? 4 Let z be 2 - 3 - (0 + (0 - -1)). Let s(d) = -18*d**3 + 5*d**2 + d + 1. What is the units digit of s(z)? 3 Let s(m) = 20*m - 8. Suppose 12 = 5*i - 3*g - 21, -2*i = 3*g - 9. Let h(q) = q - 1. Let o(l) = i*h(l) - s(l). What is the tens digit of o(-1)? 1 Suppose -4 = 4*a - m, 5*a + 0*m - 12 = -3*m. Suppose a = 5*d, -249 = -5*s - 4*d + 166. What is the units digit of s? 3 Let f(i) = 15*i**3 + 2*i**2 + 7*i - 9. Let w(l) = 5*l**3 + l**2 + 2*l - 3. Let j(n) = 4*f(n) - 11*w(n). What is the tens digit of j(2)? 3 Suppose 11*l - 3*l = 1584. Suppose 9*o - l = 8*o. What is the hundreds digit of o? 1 Suppose 5*i + 206 = m, 3*m - 4*m + 4*i + 207 = 0. What is the tens digit of m? 1 Let u(r) = 4*r**3 + 5*r**2 + 4*r - 10. Let g be u(5). Suppose 6*a = 11*a - g. What is the hundreds digit of a? 1 Let p(x) = -4*x + 103. What is the units digit of p(-14)? 9 Let b(d) = -61*d + 6. Let l be b(-1). Suppose -3*t = 4*x - 29, 4*t = -3*x + t + 24. Suppose 5*n - l = -4*f, 70 = x*n - 2*f + 21. What is the units digit of n? 1 Suppose 3*t = -2*t. Suppose t = -f + 3*f. Suppose f = -0*x + 2*x - a - 10, 0 = -x - 2*a - 5. What is the units digit of x? 3 Let j be -2*(5/10 - 0). What is the hundreds digit of j/1*(-4)/(-2) + 109? 1 Let z = 1 - -23. Let t be (z/(-9))/(4/(-6)). Suppose 2*k = -a + 22, -3*a + t*k = -7*a + 88. What is the tens digit of a? 2 Let n(h) = -h**2 - 11*h - 15. Let i be n(-9). Let b(t) = 18*t + 27. What is the tens digit of b(i)? 8 Let b(u) = u**2 - 4*u - 7. Suppose -3*j + 0*w - w + 3 = 0, -3*j + 4*w = -3. Let c(z) = 8*z**2 - z - 1. Let x be c(j). What is the units digit of b(x)? 5 Let a(d) be the first derivative of 31*d**2 - 15*d + 4. What is the units digit of a(2)? 9 What is the tens digit of (-2 - 1424/6)/(10/(-15))? 5 What is the tens digit of 390756/75 - (-78)/(-975)? 1 Let q(o) = -7*o - 3. Let x be -1*2/1*3. Let t be q(x). Suppose 49 = 2*s - 5*d, 0*s - 4*d = 3*s - t. What is the tens digit of s? 1 Suppose -5*d + 8017 = 7*f - 4*f, -6*f - 2*d = -15994. What is the hundreds digit of f? 6 Suppose 0 = -22*n - 17*n + 108888. What is the units digit of n? 2 Suppose -4*c + 36 - 20 = 0. What is the tens digit of (2 + 21)/(4/48*c)? 6 Suppose 3*z + 1534 = s, 4*z = 2*s - 282 - 2776. What is the tens digit of s? 1 Let b = 747 + -1357. Let y = b - -886. What is the tens digit of y? 7 Let a = -18 + -32. What is the tens digit of a/(-3)*(-3)/(-2)? 2 Let j(o) = 309*o**2 + o + 4. Let b be j(2). Suppose -i = -10*i + b. What is the tens digit of i? 3 Suppose 2474 + 46 = 6*t. What is the hundreds digit of t? 4 Let s(o) = -o - 24. Let p(b) = 5*b + b + 0*b - 3*b + 73. Let d(i) = -2*p(i) - 7*s(i). What is the tens digit of d(-12)? 1 Suppose -7*r + 5*r = -2288. What is the units digit of r? 4 Suppose 5*f - 4592 = 2*x, 1848 = 2*f - 44*x + 46*x. What is the hundreds digit of f? 9 Suppose 290 = 3*z - 406. What is the tens digit of z? 3 What is the hundreds digit of 1*5/5*(1 + 313)? 3 What is the tens digit of 36/27*(-534)/(-4)? 7 Let w = 316 + -471. Let t = w + 287. What is the hundreds digit of t? 1 Suppose a - 10 + 23 = 0. Let j be (a/3)/(2/(-18)). Suppose -m - j = -4*m. What is the units digit of m? 3 Suppose 75 = -4*u + u. Let b = -20 - u. Suppose 21 + 169 = b*g. What is the units digit of g? 8 Let f(t) = -t**3 - 9*t**2 - 7*t + 8. Let o be f(-8). Suppose 3*c = -5*v - 0*v + 32, o = 2*c + 3*v - 22. Let q(w) = w + 5. What is the units digit of q(c)? 9 Let p(b) = 2*b**3 + 9 - 1 + 8*b**2 - b**3 + b. Let j be p(-8). What is the units digit of -2*3/(-6) + j? 1 Let g be 979/(-33) + (-4)/(-6). Let o = g - -47. What is the units digit of o? 8 Let y = -1912 + 5118. What is the thousands digit of y? 3 Let g = -28 - -47. Let p = g - -22. What is the tens digit of p? 4 What is the thousands digit of (-137752)/(-32) - 12/16? 4 Suppose -i + 2*u + 457 = 0, 2*u = -5*i - u + 2350. What is the tens digit of i? 6 Let n = -77 - -46. Let u = n + 94. What is the tens digit of u? 6 Suppose 5*h - 26 - 25 = -2*n, -9 = -3*n. Suppose d + 125 = 2*b, -b + 40 = -h*d + 4*d. What is the tens digit of b? 6 Let a(p) = p - 2. Let n be a(7). Let l = n - 3. What is the tens digit of (-24)/(l/(-8)*6)? 1 Let y = 560 + 128. What is the hundreds digit of y? 6 Suppose -n + 3*x + 675 = 0, -2*n = 3*x - 195 - 1128. What is the tens digit of n? 6 Suppose -20 = 85*p - 90*p. What is the units digit of (p/(-12) - -1)*54? 6 Let r(j) = 3*j**3 - 4*j**2 - 3*j + 4. What is the tens digit of r(6)? 9 What is the units digit of 113 - (11 - 5 - 5)? 2 Let l be 595 - (-2 - 15/(-9))*-9. Suppose 0 = 54*g - 50*g - l. Wha
{ "pile_set_name": "DM Mathematics" }
-3*b**3 - 9*b**2 - b + 7. Let r(s) = 2*c(s) + 7*v(s). What are the prime factors of r(-7)? 2 Suppose 52 = 4*h - 0. List the prime factors of h. 13 Let y(b) = -b**2 + 4*b + 6. Let c be y(7). Let i = c - -27. Let t = i - 6. List the prime factors of t. 2, 3 Suppose 1 = 4*f - 3*k, -k + 5 = 3*f + k. List the prime factors of (f/3)/((-11)/(-363)). 11 Suppose -3*v - v - 5*j = -270, v - 59 = 3*j. List the prime factors of v. 5, 13 What are the prime factors of 660/6 - (0 + 5)? 3, 5, 7 Let d be 4 + 8 + -1 + 2. Let k = 13 + d. What are the prime factors of k? 2, 13 Let k(v) = -5*v + 88. List the prime factors of k(-27). 223 Let y(p) = 3*p + 36. What are the prime factors of y(15)? 3 Suppose -r + 28 = -2*r. Let z = r + 46. List the prime factors of z. 2, 3 Let k be (3/6)/((-2)/16). Let f = 28 + k. List the prime factors of f. 2, 3 Suppose -3*s - s + 380 = 0. What are the prime factors of s? 5, 19 Let g(l) = 6*l**3 - 1. Let f be g(1). Let z = 27 + -24. Suppose z*t + 0*t + 41 = 4*w, f*t = -2*w + 53. List the prime factors of w. 2, 7 Let w(p) = 2*p - 7. Let u(d) = d - 2. Let k be u(7). Let q be w(k). Suppose t - q = -0*t. What are the prime factors of t? 3 Suppose b - 4*b - 2*n - 1 = 0, 4*n = -5*b - 5. Suppose 7*r - 2*u = 2*r + 77, 3*r - u - 46 = 0. Suppose b*h + r = 42. List the prime factors of h. 3 Let d(v) = v**3 + 8*v**2 + 5*v + 9. Let r = 5 + -11. Let c be d(r). Suppose -5*l - 3*t = -c, -l = -0*l - 3*t - 3. What are the prime factors of l? 3 Let v be (-2)/(-9) + (-318)/(-27). List the prime factors of (-20)/(-8)*v/5. 2, 3 Suppose 4*a = 8 - 32. Let c = -3 - a. Suppose 3*j - 4*j + c*h = -18, -2*j - 14 = 4*h. List the prime factors of j. 3 Let f be 10/(-15) - 16/(-6). Suppose 0 = -f*w + 9 + 17. What are the prime factors of w? 13 Suppose 5*f = -20, -b + 4*f = 4*b - 21. What are the prime factors of (2 - -8) + -1 + b? 2, 5 Let k(y) = -y**3 - 6*y**2 - 4*y. Let z be k(-5). Let g = z - -21. What are the prime factors of g? 2 Let m = -3 + 7. Let x = -13 + 16. Suppose m*u - 2*c - 63 = x*c, c = 3*u - 39. List the prime factors of u. 2, 3 Suppose 4*k = -r + 4, 4 = -r + 2*r - 2*k. Suppose -11 = -3*v - 5*q + 45, r*v + 4*q = 80. What are the prime factors of v? 2, 11 Let w(f) = -f + 13. Let t be w(0). Let x = 46 - -1. Suppose 5*v = t + x. What are the prime factors of v? 2, 3 Suppose -3*d - 22 = -d. Let y = 20 + d. What are the prime factors of y? 3 Suppose 2*k + 344 = 6*k. What are the prime factors of k? 2, 43 Let s(t) = -t + 12. Suppose 2*p - 45 = -3*p. Let b be s(p). Suppose b*v = 5*z + 64, -4*v - 2*z = -7*z - 77. List the prime factors of v. 13 Suppose 0*q = -2*q + 46. Let r = q + 8. What are the prime factors of r? 31 Let g(z) = z + 1. Let a be g(3). List the prime factors of (-16)/(-6) + a/(-6). 2 Suppose -3*y - 2*c = -48, -4*y - 13 = -4*c - 97. What are the prime factors of y? 2, 3 Suppose -3*r - 192 = -7*s + 3*s, 5*s - 240 = -r. List the prime factors of s. 2, 3 Suppose 2*t - 4*o - 10 = 0, -t = 2*t - 3*o - 12. Suppose t*h + h - 52 = 0. What are the prime factors of h? 13 Let o(g) = g**2 - 7*g - 13. List the prime factors of o(9). 5 Let i = 33 - 12. Let f = i - 12. List the prime factors of f. 3 Suppose -g - 3*g + 16 = 0. Suppose 1 + 7 = 5*a - 2*x, -8 = -2*a - g*x. What are the prime factors of a? 2 Let t = -54 + 144. List the prime factors of t. 2, 3, 5 Suppose -2 = -z + 2. Suppose s - z*u = -0*u + 12, -4*s = u - 48. What are the prime factors of s? 2, 3 Let f = 34 + -12. What are the prime factors of f? 2, 11 Let v(j) be the third derivative of j**6/120 - j**5/30 - j**4/4 - 2*j**3/3 - 6*j**2. What are the prime factors of v(5)? 41 Let c(g) = g**2 + g. Let t be c(3). What are the prime factors of t - (4 - (3 - 0))? 11 Let h = -15 + 43. List the prime factors of h. 2, 7 Suppose -2*c + 4*a + 8 = 0, -3*c - 2*a - 5 = 7. Let p = c + 5. Suppose 10 = p*k + 2*k. What are the prime factors of k? 2 Suppose -110 = -4*q + 2. Let f = q - 18. List the prime factors of ((-80)/(-25))/(2/f). 2 Let u = -15 + 31. Suppose 3*d - 55 + u = 0. List the prime factors of d. 13 Suppose -3*q + 32 = -4. Suppose 5*g - g - q = 0. What are the prime factors of g? 3 Suppose 2*h + r = -2, -7*r - 8 = -5*h - 3*r. Let m be -1 + (2 - (-2 + 0)). List the prime factors of (h - m)/((-3)/8). 2 Suppose -31 = -3*w + 77. Let o = w - -10. What are the prime factors of o? 2, 23 Let k = 4 + -3. Let i(a) = -9*a**2. Let q be i(k). List the prime factors of 12/q*(-2 - 4). 2 Let i = 74 - 15. What are the prime factors of i? 59 Suppose 0 = -3*j - j + 700. List the prime factors of j. 5, 7 Suppose -v - v = -2. Let o be (0 + 1)*(-6 - 1). Let m = v - o. List the prime factors of m. 2 Let x = 160 + -83. List the prime factors of x. 7, 11 Let z(b) = 3*b + 2. Let p be z(3). Let r be 4/(-10) - 32/(-5). Let i = p - r. What are the prime factors of i? 5 Let a(w) = -3 - 1 - 8 + 3*w. List the prime factors of a(9). 3, 5 Suppose 5*v + v - 24 = 0. List the prime factors of v. 2 Suppose 0*z + 5*z - 210 = 0. List the prime factors of z. 2, 3, 7 Let g be (-6)/(-4)*8/3. Suppose 0 = -3*p - p + t + 38, -8 = g*t. What are the prime factors of p? 3 Let u = 18 - 13. Suppose 0 = u*s - 250 - 170. Suppose -2*y = -4*m + 72, -5*m = -y - 0*y - s. What are the prime factors of m? 2 Let l = 15 + -11. Let d = l - 2. Suppose 0 = m + 4*k - 15, 3*m + d*k - 4 = 21. List the prime factors of m. 7 Suppose -2*x - 3*o + 51 = 0, 3*x - 3*o = 161 - 47. List the prime factors of x - 1 - (13 - 9). 2, 7 Let y(d) = -2*d + 3. Suppose 5*h = -0*h - 15. List the prime factors of y(h). 3 Let i(f) = 2*f + 17. Let b be i(-8). Let a = b + 15. List the prime factors of a. 2 Let v be (-42)/28*(-22)/(-3). What are the prime factors of v/(-55) + (-9)/(-5)? 2 Let p(t) = -t**2 - 4*t + 3. Let j be (10/(-6))/(4/12). Let a(v) = v**3 + 4*v**2 - 3*v + 6. Let l be a(j). List the prime factors of p(l). 3 Let a = 14 - 9. Suppose 29 = a*m + 4. List the prime factors of m. 5 Let l(o) be the second derivative of -13*o**5/20 + o. List the prime factors of l(-1). 13 Let x(f) = f - 3. Let w be x(-4). Let o(g) = g**3 + 7*g**2 - 2*g - 8. Let r be o(w). List the prime factors of ((-1)/1)/(r/(-30)). 5 Let b be (2 - -1)/(6/(-8)). List the prime factors of ((-35)/20)/(1/b). 7 Suppose 3*h - x = -198, 2*x + 66 = h - 2*h. Let s = -32 - h. What are the prime factors of s? 2, 17 Suppose 2*b + 0*b = 0. Let u = -3 - b. What are the prime factors of 14 - (-3 + 8 + u)? 2, 3 Let f = 9 + -5. Suppose 3*w - 17 = 2*w. Suppose q = -d + f, d - 4*d - 2*q = -w. List the prime factors of d. 3 Let k be (6 - 5)*-19*1. Let u = -7 - k. What are the prime factors of u? 2, 3 List the prime factors of ((-1)/((-10)/5))/((-1)/(-326)). 163 What are the prime factors of (-85 + 3)/(-3 + 4 + -2)? 2, 41 Let g(w) = -15*w + 1. Let q be -3 + 4 - (1 - 3). Suppose 0 = -3*y + x - 8, q*y + 2*x = 4*x - 13. List the prime factors of g(y). 2 Let m(a) = -a**2 + 6*a + 10. Let c be 29/4 + 2/(-8). Let j be m(c). Suppose -g + i + 6 - 2 = 0, 0 = -j*i - 3. What are the prime factors of g? 3 Suppose 0 = -2*l + 2*y + 24, -3*y - 64 = -4*l - 15. What are the prime factors of l? 13 Suppose -3*j = -4*j + y + 56, -j + 68 = 3*y. List the prime factors of j. 59 Let v(i) = -7*i - i**3 + 0*i**3 + 6 - 1 + 7*i**2. What are the prime factors of v(5)? 2, 5 Let v(t) = 6*t - 19. What are the prime factors of v(6)? 17 Let g be (-4 + -1)*8/5. What are the prime factors of 4/g - 54/(-4)? 13 Suppose 3*z + 2 = -2*o - 12, 3*z + 5*o + 26 = 0. Let v be (-5 - z)*1 - -1. What are the prime factors of ((-2)/v + -7)/(-1)? 2, 3 Let o(k) = -k**2 - 8*k - 1. List the prime factors of o(-2). 11 Suppose -w + 0*w = 2*z + 1, 25 = 5*w - 5*z. Suppose -4*x + v + 13 + 84 = 0, -5*x = -w*v - 116. What are the prime factors of x? 5 Let f = 18 + -36. What are the prime factors of (21/6)/((-3)/f)? 3, 7 Let f(o) = o**3 + 7*o**2 - 3*o + 1. Suppose 3*r + 23 - 2 = 0. List the prime factors of f(r). 2, 11 Let p be 4/(-22) + 245/77. Let i = -4 + 6. List the prime factors of (p*i)/(2 + 0). 3 Let h be (2/4)/(1/50). Let m = h + -7. List the prime factors of 188/36 - 4/m. 5 Let x = -2 - -5. Let y = x - -8. What are the prime factors of y? 11 Suppose -9*z + 132 = -3*z. List the prime factors of z. 2, 11 Suppose 147 = 4*m - 301. Suppose -4*g + l + l = -90, 5*g - 2*l = m. What are the p
{ "pile_set_name": "DM Mathematics" }
/3 + 2*j**2 + 4*j + 1. Determine n*p(k) - 4*o(k). 3*k**2 Let v(o) = 2*o**2 - 2*o + 1. Let f(t) = -t - 14. Let m be f(-19). Suppose 5*u = 2*x + 2, 4*x + m*u - 20 = 3*u. Let b(l) = -l**2 + 2*l - 1. Give x*b(n) + 3*v(n). 2*n**2 + 2*n - 1 Let c(q) = 21*q - 15. Suppose -3 + 73 = 5*f. Let j(g) = -14 - 14 - f + 3*g + 40. Determine 2*c(p) - 15*j(p). -3*p Let y(b) = 1. Let t(c) = 1 + 45*c - 15*c - 23*c. Determine -t(m) + y(m). -7*m Let k(v) = -36*v**2 + 11*v - 11. Let u(n) = -7*n**2 + 2*n - 2. Let z(o) = -o**2 + 33*o - 88. Let w be z(30). Calculate w*k(r) - 11*u(r). 5*r**2 Let m(g) be the third derivative of -7*g**5/60 + g**4/8 + 301*g**2. Let f(q) = 14*q**2 - 5*q. What is 3*f(n) + 5*m(n)? 7*n**2 Let o(n) = 2*n**2 - 21*n + 2. Let z(q) = -q**3 - 7*q**2 + 63*q - 7. What is -14*o(h) - 4*z(h)? 4*h**3 + 42*h Let v(b) = 5*b**2 - 105*b - 5. Let j(g) = -3*g**2 + 53*g + 3. Determine 7*j(z) + 4*v(z). -z**2 - 49*z + 1 Let n = 1 + 4. Let x(l) = 4*l + 5. Let o(z) be the third derivative of 3*z**2 - 7/24*z**4 + 0*z - 3/2*z**3 + 0. Calculate n*x(a) + 3*o(a). -a - 2 Let c(v) be the first derivative of -2*v**3 + 5*v**2/2 + 5*v - 1. Let q = -113 + 78. Let y = q + 30. Let j(l) = 7*l**2 - 6*l - 6. What is y*j(k) - 6*c(k)? k**2 Let t(a) = 7*a**2 + 6*a - 49. Let k(u) = -u**2 - u + 1. Determine -6*k(l) - t(l). -l**2 + 43 Let g(d) = -d**3 + d**2 - d + 1. Let r(v) = -3*v**3 + 4*v**2 - 4*v - 10. What is 2*g(b) - r(b)? b**3 - 2*b**2 + 2*b + 12 Let j(z) = -70*z**2 + 4*z - 6. Let b(u) = -14*u**2 + u - 1. What is 11*b(d) - 2*j(d)? -14*d**2 + 3*d + 1 Let m(f) = 8*f + 53. Let l(p) = -2*p + 3. Give -5*l(z) - m(z). 2*z - 68 Let y(j) = -44*j**2 - 7. Let q(r) = 1. Calculate -4*q(g) - y(g). 44*g**2 + 3 Let j(w) = -39*w**3 - 7*w**2 - 3*w - 6. Let t(r) = 39*r**3 + 8*r**2 + 4*r + 8. What is -4*j(q) - 3*t(q)? 39*q**3 + 4*q**2 Let i be (-8)/(32 + 0) - (-27)/(-4). Let r(s) = 39*s**2 - 7*s + 7. Let j(l) = 13*l**2 - 2*l + 2. Calculate i*j(t) + 2*r(t). -13*t**2 Let y(i) = i**3 + i**2. Suppose -5*x = b + 4*b + 25, x - 3*b = -25. Let c be (2/10*2)/(1/x). Let j(d) = 3*d**3 + 4*d**2 - d. Determine c*y(h) + j(h). -h**3 - h Let z(g) = -48*g + 27. Let h(q) = 2*q - 4. Let o(x) = x. Suppose -5*k + 4*k - 5 = 0. Let m(t) = k*o(t) - h(t). Determine -27*m(p) + 4*z(p). -3*p Let b(x) = -x**2 - x + 1. Let l(g) = -2*g**2 - 3*g + 19. Calculate -b(y) + l(y). -y**2 - 2*y + 18 Let o(x) = -4*x**2 + x - 341. Let h(w) = 2*w**2 + 171. Give 5*h(t) + 2*o(t). 2*t**2 + 2*t + 173 Let x(m) = -6159*m**3 - 3*m + 6095*m**3 - 3*m + 22*m - 16. Let q(v) = 13*v**3 - 3*v + 3. Calculate -16*q(i) - 3*x(i). -16*i**3 Let g(w) = -4*w**3 - 6*w**2 - 2*w - 5. Let b(m) be the first derivative of -11*m**4/4 - 17*m**3/3 - 3*m**2 - 14*m + 444. Give -6*b(k) + 17*g(k). -2*k**3 + 2*k - 1 Let y(k) = -50*k + 22. Let s(u) = u + 3. Determine -6*s(c) + y(c). -56*c + 4 Let q(i) = -605*i**2 - 17*i - 17. Let z(l) = -202*l**2 - 6*l - 6. Give 6*q(n) - 17*z(n). -196*n**2 Let q(x) = 69*x**2 - 12*x - 9. Let k(h) = 71*h**2 - 14*h - 10. Give 5*k(m) - 6*q(m). -59*m**2 + 2*m + 4 Let t(g) = g**3 + g**2 - 1. Let r(i) be the third derivative of i**6/30 - i**4/8 - i**3/3 + 110*i**2 + 2*i. What is r(k) - 2*t(k)? 2*k**3 - 2*k**2 - 3*k Let p(q) = 6*q + 2. Let a(u) = 31*u - 10. Determine -a(s) - 4*p(s). -55*s + 2 Let j(g) be the first derivative of 2*g**3/3 + g**2 + 11*g - 648. Let k(o) = -4*o**2 - 4*o - 21. Give 11*j(i) + 6*k(i). -2*i**2 - 2*i - 5 Let x(r) = -2*r**2 + r - 1. Let y be x(1). Let t(w) = w + 2. Let c(b) be the first derivative of -11*b - 5/2*b**2 + 8. Calculate y*c(z) - 11*t(z). -z Let y(r) = 2*r**3 - 5*r**2 + 5*r - 9. Let a(b) = -b**3 + 6*b**2 - 6*b + 10. Give -5*a(t) - 6*y(t). -7*t**3 + 4 Suppose -3*l + 2 - 11 = 4*g, 1 = -g - l. Let v(x) = -8*x**2 + x - 2. Let c(q) = 9*q**2 - q + 2. What is g*v(j) - 5*c(j)? 3*j**2 - j + 2 Let n(x) = 118*x + 19. Let t(b) = -2*b + 6. What is n(m) - 3*t(m)? 124*m + 1 Let l(q) = 10*q + 8. Let t(s) = -3*s - 3. Let c(n) = -l(n) - 3*t(n). Let u(i) = -2*i + 5. Let o = -1 - 0. Determine o*u(z) + 5*c(z). -3*z Let h(j) = -598*j**2 + 8*j + 2. Let g(q) = -49035*q**2 + 660*q + 165. Give 2*g(w) - 165*h(w). 600*w**2 Let a(b) = 2*b**3 - b**2 + 3*b + 2. Let j(n) = -4*n - 77. Let t be j(-20). Let m(c) = c. What is t*m(r) - a(r)? -2*r**3 + r**2 - 2 Let p(o) = -639 - 3*o - 2*o + o**2 - 641 + 1280. Let q(m) = -m. Give 3*p(r) - 15*q(r). 3*r**2 Let c(z) = -7*z**2 - 5*z + 2. Let i(j) = 32 - 5*j - 36 + 13*j**2 + 14*j. Give 11*c(f) + 6*i(f). f**2 - f - 2 Let v(w) = -w + 1. Let b(a) = -a**3 - 15*a**2 + 15*a - 12. Let s be b(-16). Let t(u) = -6*u + 2 - s + 5. Calculate -t(c) + 5*v(c). c + 2 Let c(s) = 21*s**3 - 21*s**2 - 29. Let o(t) = 14*t**3 - 15*t**2 - 19. What is 5*c(r) - 7*o(r)? 7*r**3 - 12 Suppose -26 = -21*z - 5. Let v(g) = -g - 1. Let y(c) = -12*c + 1. Give z*y(k) + v(k). -13*k Suppose 2*o - 4*o - 6 = 0. Let m be (-4)/o + (-7)/3. Let y(h) = -3*h + 4. Let r(j) = 1 - 2 - j + 2. Determine m*y(s) + 4*r(s). -s Let u(i) = -156*i**2 + 520. Let h(b) = b**2 + 2. What is -260*h(l) + u(l)? -416*l**2 Let b(p) = 319*p + 8. Let s(o) = 479*o + 12. Determine 7*b(l) - 5*s(l). -162*l - 4 Let f(z) = -z**2 - 3*z + 3. Let s(m) = -54*m - 1 + 27*m + 28*m. Determine -f(h) - 3*s(h). h**2 Let r(k) = 5*k**2 - 10 - 19 + 5*k - 9*k**3 + 35*k**3 + 15*k**3 + 24. Let h(l) = -513*l**3 - 63*l**2 - 63*l + 63. Give 5*h(g) + 63*r(g). 18*g**3 Let o(m) = -129 - 127 - 13*m + 26*m**2 + 269. Let v(n) = -n**2 + n - 1. Give -o(z) - 13*v(z). -13*z**2 Let i(m) = -2*m**3 - 7*m**2 + 4*m. Let c(b) = b**3 + 14*b**2 - 15*b - 5. Let s be c(-15). Let f(a) = 2*a**3 + 7*a**2 - 5*a. Give s*i(v) - 4*f(v). 2*v**3 + 7*v**2 Let d(h) = 25*h**3 + 2*h**2 - 2*h - 4. Let y(t) = 51*t**3 + 5*t**2 - 5*t - 9. What is 5*d(s) - 2*y(s)? 23*s**3 - 2 Let y(z) = 3 - 3 - 4 + 6*z. Suppose 3*m = 2*o + 8, 4*m = -12*o + 18 + 22. Let c(x) = 5*x - 3. What is o*y(a) - 3*c(a)? -3*a + 1 Let i(h) = -h**2 - h - 19. Let x(g) = -g**2 - 2*g - 19. Determine -3*i(q) + 2*x(q). q**2 - q + 19 Let v(b) = -2*b. Let h(q) = -36*q + 3. Give -h(r) + 2*v(r). 32*r - 3 Let n(a) = -2*a**2 - a + 2. Let t(p) = 3*p - 3*p - 225 + 2*p**2 + 223. Determine -4*n(s) - 3*t(s). 2*s**2 + 4*s - 2 Let f(b) = -b**3 - b**2 - b - 1. Let m(q) = -2*q**3 - 4*q**2 - 4*q - 4. Let z be (-9)/6*(-2)/(-1). Calculate z*m(y) + 12*f(y). -6*y**3 Let g(o) = o**2 + o. Let x(w) = -6*w**2 - 7*w + 6. Calculate -4*g(r) - x(r). 2*r**2 + 3*r - 6 Let n(s) = -18*s - 7*s**2 - 2*s + 13*s**2 - 17 + 5*s**2. Let z be -2 + (-4 + 3)*-4. Let h(p) = -1 + 4*p**z - 6 - 7*p + 1. Calculate 17*h(a) - 6*n(a). 2*a**2 + a Let a(p) = -14*p**3 + 3*p + 178*p**2 + 13 + 194*p**2 + 10*p - 385*p**2. Let l(b) = -7*b**3 - 6*b**2 + 6*b + 6. Determine -6*a(u) + 13*l(u). -7*u**3 Let b(g) = 13*g + 9. Let f(n) = -40*n - 8. Let p(j) = 18*j + 4. Let m(u) = -3*f(u) - 7*p(u). Let q be (-4)/6*-3 + 5. Determine q*m(x) + 3*b(x). -3*x - 1 Suppose -2*h + 57 = 53. Let a(l) = 13*l**2 + 8*l + 8. Let b(m) = -25*m + 3*m**2 - 1 + 0*m**2 + 3 + 27*m. Determine h*a(t) - 9*b(t). -t**2 - 2*t - 2 Let g(c) = -8*c**2 - 7*c - 7. Let x(m) = -15*m - 12. Let k be x(-5). Let w = k + -70. Let f(u) = -7*u**2 - 6*u - 6. Determine w*f(j) + 6*g(j). j**2 Let w(q) = 430*q**2 + 3*q - 6. Let l(t) = -4728*t**2 - 32*t + 64. Give -3*l(g) - 32*w(g). 424*g**2 Let a(s) = 28 - 4*s**3 + 9*s**3 - 18 - 16 + 8*s**2 - 2*s**2. Let u(b) = 11*b**3 + 13*b**2 - 13. Let p be 186/(-14) + (-6)/(-21). Calculate p*a(c) + 6*u(c). c**3 Let y(g) = 2*g - 303. Let l(v) = v + 1. Give 4*l(i) - y(i). 2*i + 307 Let a(y) = y + 1. Let c(z) = 50*z. Calculate -a(j) - c(j). -51*j - 1 Let c(h) = h**2 - h - 2. Let o(r) = 889*r**2 + 4*r + 6. Determine 3*c(k) + o(k). 892*k**2 + k Let y(j) = -j + 1. Let x(h) = -h**3 + 3*h**2 - 2*h + 9. Let f be x(3). Let v(w) = -w + 3. Calculate f*y(l) - v(l). -2*l Let w(f) = 4*f - 3. Let y(p) = -3*p + 5. What is -4*w(b) - 5*y(b)? -b - 13 Let k(h) = 9*h - 154. Let c(q) = 14*q - 230. Give 5*c(n) - 8*k(n). -2*n + 82 Let m(d) = 36*d**3 - 24*d**2. Suppose 14*z = 59*z + 1080. Let c(q) = 7*q**3 - 5*q**2. Give z*c(a) + 5*m(a). 12*a**3 Let r(q) = 6*q**3 + 2*q**2 + 4. Let p be ((-26)/65)/(1/(-20)). Let s = p - 5. Let n(d) = 3 + 31*d - 31*d + 5*d**s + d**2. Give 4*n(k) - 3*r(k). 2*k**3 - 2*k**2 Let a(m) = -31*m**2 + 6*m - 23. Let r(c) = -10*c**2 + 2*c - 8. Determine -
{ "pile_set_name": "DM Mathematics" }
is 3405551 (base 9) in base 14? 35a83d -20202002110 (base 3) to base 12 -649a0 Convert 224414 (base 7) to base 15. bcb5 What is a61ba (base 14) in base 4? 1201321120 -608506 (base 9) to base 7 -3031062 Convert -3145485 (base 10) to base 2. -1011111111111100001101 Convert 22330120 (base 6) to base 14. 139d96 391b0 (base 14) to base 13 4bb1b Convert 14236773 (base 8) to base 6. 153100231 What is 41011131 (base 5) in base 3? 121201012002 -2cf4 (base 16) to base 7 -45360 1312123212 (base 4) to base 14 c8ad8 Convert 331014212 (base 6) to base 15. 7c14a2 Convert -2120211112 (base 3) to base 5. -3112114 35371 (base 10) to base 5 2112441 Convert 6f3f5 (base 16) to base 7. 3605324 What is 4104020 (base 7) in base 8? 1672525 Convert 66db81 (base 14) to base 16. 3555d5 What is 204197 (base 10) in base 7? 1510220 Convert 163665311 (base 7) to base 8. 52504274 What is -20241230 (base 5) in base 12? -7b71a 5303241 (base 7) to base 13 1952c1 Convert -2021141003 (base 5) to base 11. -233a307 Convert -13257 (base 11) to base 16. -49fa Convert -315510 (base 6) to base 5. -1312030 What is -79719 (base 12) in base 16? -277c5 What is -2111110200 (base 3) in base 8? -140041 -2605241 (base 9) to base 14 -28dc16 -1334b9 (base 12) to base 10 -316941 -1301330241 (base 5) to base 4 -30001201022 -2076036 (base 8) to base 9 -1036686 Convert -b42560 (base 12) to base 14. -5373cc -3c9b0 (base 13) to base 6 -2234235 What is -25333 (base 15) in base 4? -131001000 Convert 9871765 (base 10) to base 15. ceee7a 106225051 (base 8) to base 4 1012102220221 Convert -b1946 (base 12) to base 11. -148759 What is -1000000110100110001111 (base 2) in base 13? -594b11 c1df (base 16) to base 5 3042011 What is -102220203302 (base 4) in base 5? -2222302342 230233430 (base 5) to base 15 15372a 3b420 (base 14) to base 15 2d4e9 Convert -7d93dd (base 15) to base 5. -3014130013 Convert -11636645 (base 7) to base 5. -232122442 What is 14311403 (base 5) in base 11? a337a Convert -11000011010010111 (base 2) to base 13. -36688 What is -b158 (base 15) in base 8? -111071 Convert -1180484 (base 9) to base 13. -196ac8 5032263 (base 7) to base 5 123040102 Convert 1121100022 (base 3) to base 4. 13231232 What is 13630664 (base 8) in base 15? 411646 32b739 (base 12) to base 9 1461360 88358 (base 10) to base 14 242b4 What is -35160113 (base 9) in base 6? -1410340020 2320744 (base 10) to base 14 445a76 -147373 (base 9) to base 11 -6216a b8519 (base 13) to base 9 556231 Convert 104665 (base 10) to base 14. 2a201 Convert -29226 (base 13) to base 15. -17d60 What is 14455440 (base 6) in base 13? 149064 100b86 (base 12) to base 9 421573 What is -55511540 (base 7) in base 2? -10010010010001010110100 What is -10102002100 (base 3) in base 6? -1234443 2057b92 (base 12) to base 8 27165336 Convert -271757 (base 9) to base 13. -5a370 What is -319c95 (base 16) in base 6? -153404313 What is -101100101110100111011 (base 2) in base 16? -165d3b -6b4cb (base 16) to base 4 -1223103023 Convert 350339 (base 11) to base 14. 106c8b Convert 24411302 (base 5) to base 9. 383313 What is -131454334 (base 6) in base 8? -11737162 221342 (base 11) to base 4 1112031210 Convert -400636 (base 8) to base 7. -1055225 223531a (base 12) to base 8 30747206 What is -5311721 (base 8) in base 10? -1414097 What is 12020101102122 (base 3) in base 5? 1203023112 What is -c7b45 (base 13) in base 6? -11414443 What is -294974 (base 10) in base 7? -2335661 2a908 (base 14) to base 3 12101110120 8a4ca (base 15) to base 9 740311 What is -1242112 (base 5) in base 9? -36736 482210 (base 9) to base 10 290313 -50223 (base 9) to base 13 -12027 Convert -1c6188 (base 14) to base 5. -224444341 22001001100 (base 3) to base 10 158229 -10323a3 (base 13) to base 11 -2859679 Convert -60490c (base 13) to base 16. -22267f What is -1003213102 (base 4) in base 5? -32330241 -3aba34 (base 13) to base 10 -1425389 What is 203083 (base 10) in base 5? 22444313 Convert 22201200112210 (base 3) to base 6. 243232550 -11272 (base 12) to base 2 -101100100110110 What is 333433 (base 11) in base 12? 217771 Convert 377a6 (base 15) to base 5. 21132411 -21152146 (base 7) to base 12 -726464 -2111303210 (base 4) to base 11 -38a012 -14405254 (base 7) to base 11 -851230 Convert 132726 (base 10) to base 12. 64986 Convert -1511150 (base 7) to base 10. -204512 Convert -1b41c2 (base 16) to base 7. -21116614 What is 200122211201100 (base 3) in base 14? 146216d -587aa (base 11) to base 7 -502201 Convert 282a854 (base 11) to base 7. 56303156 2254 (base 6) to base 2 1000011010 53502 (base 10) to base 2 1101000011111110 -2773266 (base 9) to base 8 -5641521 552542004 (base 6) to base 16 979ad4 What is -538079 (base 12) in base 16? -14255d Convert 22261 (base 8) to base 4. 2102301 Convert 12200012000012 (base 3) to base 13. 817517 Convert 1000010111001100111101 (base 2) to base 15. 2d480e What is -223501254 (base 6) in base 15? -55e484 159880 (base 12) to base 4 1122022200 What is 1650703 (base 8) in base 13? 13a449 -1022121210010 (base 3) to base 2 -10101011001011010011 Convert 774333 (base 8) to base 6. 5325055 What is 10111110100101100 (base 2) in base 14? 277c0 What is -5545 (base 6) in base 5? -20124 -4507c8 (base 16) to base 12 -1622060 11100000001111 (base 2) to base 8 34017 Convert 100111120122 (base 3) to base 10. 187046 What is 1353014 (base 7) in base 11? 114090 What is -101101011101110 (base 2) in base 4? -11223232 Convert -1535103 (base 7) to base 8. -633336 What is 10010000110100001010 (base 2) in base 4? 2100310022 What is 10000111100111011111 (base 2) in base 15? ae8c7 What is 1011121012 (base 3) in base 6? 254352 What is 186077 (base 11) in base 2? 1000101111000101001 -11202222002 (base 3) to base 10 -94016 What is -1000c42 (base 15) in base 12? -399548b 1001010111011000 (base 2) to base 10 38360 What is -1256306 (base 8) in base 2? -1010101110011000110 What is 10100010010100000100 (base 2) in base 15? d1ec6 What is -6655cb (base 14) in base 4? -31033232333 Convert 12807951 (base 10) to base 12. 4358013 Convert -440330114 (base 5) to base 12. -76b724 What is -20121210111 (base 3) in base 7? -1052002 Convert -138eb8 (base 15) to base 5. -220112243 -233349b (base 12) to base 3 -110202210101202 What is -764331 (base 8) in base 12? -104335 Convert 222000200102 (base 3) to base 8. 1750377 Convert -2301434 (base 5) to base 8. -117645 -1603080 (base 11) to base 8 -12353274 Convert b42a73 (base 12) to base 5. 1210400304 Convert -100022001012 (base 3) to base 9. -308035 What is -35022204 (base 6) in base 9? -2020224 Convert 1120660 (base 9) to base 3. 1010200202000 What is 201202130 (base 4) in base 5? 13343442 Convert -2236642 (base 7) to base 15. -577b7 -13133442 (base 5) to base 2 -11111110111000001 308362 (base 11) to base 4 1320222120 Convert 111010000010000111110 (base 2) to base 10. 1901630 Convert -122212110211 (base 3) to base 16. -55dec 23c22c (base 16) to base 4 20330020230 -4222023 (base 6) to base 5 -23031330 What is 109709 (base 10) in base 16? 1ac8d Convert -1424576 (base 8) to base 9. -674858 Convert -312301403 (base 6) to base 9. -11204443 1301312111 (base 4) to base 10 466325 What is -500428 (base 9) in base 5? -33424340 What is -199177 (base 11) in base 5? -34230004 What is 1b138 (base 16) in base 11? 76362 What is -d5c7a (base 16) in base 3? -1122111011012 What is 504057 (base 9) in base 13? a5976 -160331 (base 7) to base 3 -1121001022 -43133140 (base 5) to base 13 -ca072 Convert -9047661 (base 10) to base 5. -4304011121 What is 30db4 (base 15) in base 10? 154969 -494e8 (base 16) to base 14 -7b5d6 -814221 (base 10) to base 15 -1113b6 Convert -101344124 (base 5) to base 16. -66368 Convert -632724 (base 13) to base 16. -2362c8 Convert -31112002222 (base 4) to base 9. -6521507 Convert 677978 (base 16) to base 6. 401202532 Convert 651730 (base 8) to base 5. 23434242 34324156 (base 8) to base 2 11100011010100001101110 -1001121322 (base 4) to base 8 -1013172 What is b877c4 (base 14) in base 16? 5f4730 Convert -2021204142 (base 5) to base 12. -144bb62 Convert -122220211 (base 3) to base 12. -7687 What is -e87306 (base 15) in base 16? -a8c54c What is -1868a04 (base 11) in base 15? -426302 What is -111002021011 (base 4) in base 11? -3126663 What is -12321232 (base 5) in base 8? -352600 C
{ "pile_set_name": "DM Mathematics" }
. 50 Let a(g) = -43*g + 680. Calculate the remainder when a(13) is divided by 30. 1 Let d be 8/28 + 396/(-14). Calculate the remainder when 4/14 - 4444/d is divided by 23. 21 Suppose 2 + 103 = 3*w. What is the remainder when ((134*(-7)/(-42))/(1/12))/2 is divided by w? 29 What is the remainder when (-21 + 10)*-7 - 4 is divided by 2? 1 Let m = 4 - -2. Suppose m = 7*g - 15. What is the remainder when g*4/(-48)*-412 is divided by 26? 25 Let d be 6*(1 - (3 - 3)). Let v be (8/d)/((-2)/(-15)). Let u = 15 - v. Calculate the remainder when 8 is divided by u. 3 Let l(b) = -26*b - 95. What is the remainder when l(-14) is divided by 68? 65 Suppose -3*o = f - 76, 3*f = o - 65 + 253. Let d = f - 112. Let s = d + 111. What is the remainder when s is divided by 11? 8 Let j be 1115/(-65) + 7 - 2/(-13). What is the remainder when (95/j)/(6/15)*-4 is divided by 25? 20 Suppose -5*c - b + 43 = -3*c, 5*c - 112 = -4*b. What is the remainder when 54 is divided by c? 14 Calculate the remainder when 6/(-5)*2480/(-48) is divided by 35. 27 Let r be 0 + (3 - 2)*-1. Let g(k) = 13*k**2 - 2*k - 2. Let m = 109 - 84. What is the remainder when m is divided by g(r)? 12 Let n(x) = -3*x + 1. Let c(z) = z**2 + 97*z - 1241. What is the remainder when c(12) is divided by n(-6)? 10 Let r(f) = f**2 - 9*f - 1. Let t be 1 - (1 - (-36)/(-3)). What is the remainder when 136 is divided by r(t)? 31 Suppose 3*r = -4*u - 3, -2 = -3*u - 3*r - 8. Suppose -2*x = z - 7 - 17, -2*z - u*x + 43 = 0. Calculate the remainder when 40 is divided by z. 12 Let v(p) = 3 + 4*p + 3*p**3 + 2 + 2*p**2 - 8*p**3 + 4*p**3. Calculate the remainder when 22 is divided by v(3). 6 Let h be 1/1 - -49 - 0. Let z be (-35)/(-8) + 21/(-56). Suppose 46 = z*p - h. What is the remainder when 45 is divided by p? 21 Let g(w) = 9*w**3 + 7*w**2 - 10*w + 3. Calculate the remainder when g(2) is divided by 21. 20 Suppose 3*i = 5*a + 375, -3*i - 23*a + 399 = -20*a. What is the remainder when i is divided by 67? 63 Let z = 22 - 54. Let b = z - -80. Suppose 4*j - b = 176. Calculate the remainder when j is divided by 19. 18 Suppose 210 = -36*z + 41*z. What is the remainder when 1046 is divided by z? 38 Let d = -276 + 391. Calculate the remainder when d is divided by 30. 25 Let f be (-90)/25 - (-2)/(-10)*2. Let n = f - -9. Calculate the remainder when 7 is divided by n. 2 Suppose 0 = 2*q - 1039 + 963. Calculate the remainder when 98 is divided by q. 22 Let f be 62/10 + (-1)/5. Suppose -u - 4*w = 6, -5*u + 0 = 2*w - f. Calculate the remainder when 32 is divided by (90/3)/2 + u. 15 Calculate the remainder when 127 is divided by (-2)/(-16) + (-3510)/(-208). 8 Let a = 15 - 30. Let r be 59*1 - (a - -14). Let c = 1 + r. What is the remainder when c is divided by 16? 13 Let t(w) = -17*w. Let d = -3 - -2. What is the remainder when 3/(450/(-155) - -3) is divided by t(d)? 14 Suppose -12 = -i - 3*i, 5*i = -3*u + 36. Let j be (u + 1)*1/2. Suppose j*f - 22 = 102. What is the remainder when f is divided by 8? 7 Suppose -k - 26 = -56. What is the remainder when 50 is divided by k? 20 Let w(c) = 3*c**2 - 15*c + 3. Suppose 0 = -3*d - d + 716. What is the remainder when d is divided by w(7)? 44 Suppose 0*w - 3*w = -5*b + 285, -4*b - 4*w = -260. Suppose 11*h - 169 = -697. What is the remainder when b is divided by (h/(-16))/((-6)/(-32))? 12 Let y(b) = 25*b + 23. Let d(h) = -2*h**2 - 30*h - 26. What is the remainder when y(3) is divided by d(-13)? 20 Let b be ((-3)/(-9))/(2/24). Suppose -b*v + 56 = a - 1, a + 2*v - 47 = 0. Let h = a + -14. What is the remainder when 44 is divided by h? 21 Suppose -15*p = 8*p - 8027. Calculate the remainder when p is divided by 9. 7 Let y(c) = -7*c**2 + 65*c + 9. Calculate the remainder when 188 is divided by y(9). 26 Suppose -4*p = 3*y - 502, -13*y - 2*p = -18*y + 854. What is the remainder when y is divided by 3? 2 Let c(d) = d**3 + 6*d**2 + 4*d - 3. Let n be c(-4). Let m(f) = -f**3 + 13*f**2 + f. What is the remainder when m(n) is divided by 5? 3 Suppose 24*j + 387 = 33*j. Calculate the remainder when j is divided by 13. 4 Let h(k) = 3*k + 16. Let i be h(-6). Let c be (-4 - -10)/(i/(-5)). Suppose -4*q + 5 = -c. Calculate the remainder when 22 is divided by q. 2 Let m = 1888 - 1748. What is the remainder when m is divided by 120? 20 Suppose 0 = 2*n - 5*h - 56, -6*h - 123 = -5*n - 2*h. Let f = -43 - -48. Calculate the remainder when n is divided by f. 3 Suppose -3*u + 5*k + 539 = 0, -k - 359 = -3*u + 176. What is the remainder when u is divided by 36? 34 Suppose 2*k - 17 = -71. Let z = -19 - k. Calculate the remainder when 13 is divided by z. 5 Let p = -2082 - -2097. What is the remainder when 129 is divided by p? 9 Suppose -6*x + 56 + 202 = 0. Calculate the remainder when x is divided by 11. 10 Let h be (66/10)/(9/45). Let i = h - 21. What is the remainder when i is divided by 270/50 + 4/(-10)? 2 Suppose 0 = 3*s + 5*q - 30, -28*s - q + 10 = -27*s. Calculate the remainder when 68 is divided by s. 8 Suppose 7*j - 16 = 5. Suppose j*k = -y + 50, 0 = -5*y + 4*y + 2. What is the remainder when 43 is divided by k? 11 Suppose -5*b = -2*s + 6*s - 14, 0 = -5*s - 20. Suppose 0 = -l - 6*l + 7. Calculate the remainder when 9/b + 3/6 is divided by l. 0 Let a = 298 + -186. Let i = a + -100. Calculate the remainder when 41 is divided by i. 5 Calculate the remainder when 2/3*(1590/20 + 0) is divided by 16. 5 Let i = 504 - 494. What is the remainder when 59 is divided by i? 9 Let z be (-2)/((15/(-5))/3). Suppose 5*x + 26 = 3*h, 2*h + z*x - 78 = -2*h. Calculate the remainder when 64 is divided by h. 13 Let n = 1974 + -1964. Let h(w) = -38*w**3 - w - 1. Calculate the remainder when h(-1) is divided by n. 8 Let c = 226 + -100. Calculate the remainder when c is divided by 121. 5 Suppose 92*i - 128*i + 4680 = 0. Calculate the remainder when i is divided by 62. 6 Let u be (-2 + 0)/((-14)/(-735)). What is the remainder when 41 is divided by (u/10)/((-2)/4)? 20 Let g(m) = -m**3 + 4*m**2 + m - 1. Suppose 0 = -r + 2*r - 3. What is the remainder when 40 is divided by g(r)? 7 Let l(u) = u**3 + 9*u**2 + 6*u - 11. Let b be l(-8). Suppose b*v + 26 = 7*v. Calculate the remainder when 25 is divided by v. 12 Let t(w) = w**3 + 6*w**2 + 4. Let b be t(-6). What is the remainder when (-78)/b*8/(-4) is divided by 14? 11 Suppose 28*c - 200 - 444 = 0. Calculate the remainder when 52 is divided by c. 6 Let q(f) = f**3 + 2*f**2 + f + 9. Let a be q(0). Suppose -g + 4*g - a = 0. What is the remainder when 9 is divided by g? 0 Let g(r) be the first derivative of -41*r**2/2 + 10*r - 3. Let k be g(8). What is the remainder when (1 - 2)/(6/k) is divided by 27? 26 Let s(j) = -2*j**2 - 11*j + 5. Let y(l) = -3*l**2 - 16*l + 8. Let w(x) = 8*s(x) - 5*y(x). Calculate the remainder when 26 is divided by w(-7). 5 Suppose -43*h - 15 = -44*h. Let w = 55 + -28. Calculate the remainder when w is divided by h. 12 Suppose -5*x - 5*r + 3*r = 0, -x + 3*r - 17 = 0. Let j(l) = -11*l - 4. Let c be j(x). Calculate the remainder when c*(7/(-2) + 4) is divided by 5. 4 Suppose 67*m - 63*m - s - 780 = 0, 0 = -5*s. Calculate the remainder when m is divided by 36. 15 Suppose 4*u = u + 9. Suppose u*z = 173 - 20. Calculate the remainder when z is divided by 9*((12 - 6) + -4). 15 Let t(f) = 22*f**2 + 2*f + 4. What is the remainder when 190 is divided by t(-1)? 22 Calculate the remainder when 473 is divided by 6020/245 - (2 - (-17)/(-7)). 23 Let w = -55 + 30. Suppose -5 = -l + 33. Let m = l + w. Calculate the remainder when 24 is divided by m. 11 Let b(l) = -11*l + l**3 - 14*l + 2*l**2 + 12*l - 5. Calculate the remainder when 43 - (-2)/2 - 1 is divided by b(-4). 13 Let d = 62 - -10. Calculate the remainder when d is divided by 23. 3 Let t(x) = x**3 - x**2 - 5*x. Let l = 14 + 16. Suppose w = -3*k + l, -3*w + 0*w + 4*k = -25. Calculate the remainder when t(4) is divided by w. 13 Suppose w = 9 + 10. Suppose -111 + w = -2*c. Calculate the remainder when c is divided by 12. 10 Let h(d) = d**3 + 5*d**2 - d + 16. What is the remainder when 78 is divided by h(-5)? 15 Suppose -3*m - 7 = 8. Let c(z) = -5*z**2 - z**2 + 2 - 7*z + 2793*z**3 - 2794*z**3. What is the remainder when 33 is divided by c(m)? 9 Let c = -188 + 345. Calculate the remainder when c is divided by 53. 51 Suppose n = 14 + 1. Suppose 31 = m
{ "pile_set_name": "DM Mathematics" }
st common factor of r and q. 19 Suppose c + 4*c = 5*x - 70, 4*x = 5*c + 56. Calculate the greatest common factor of x and 2. 2 Suppose -4*g + n = 0, -4*g = -0*n - 3*n. Let j be 0/((-1)/(g - -1)). Suppose 5*s - 15 = -j*s. Calculate the highest common divisor of s and 18. 3 Let g be (-12)/(-6) - 1*-2. Calculate the highest common factor of g and 4. 4 Let f = -111 - -187. Calculate the greatest common divisor of f and 19. 19 Let r be (0 + -2)*(-6)/4. Suppose -r*x = 43 - 4. Let i = x - -18. What is the highest common divisor of 35 and i? 5 Let v be 1 + (0 - (-1 + 1)). Let k(b) be the second derivative of 7*b**4/4 - 15*b. Let y be k(v). What is the greatest common divisor of 189 and y? 21 Let i = -5 - -10. Let b be 74/4 + i/(-10). Suppose 2*y + 13 = 49. What is the greatest common factor of y and b? 18 Suppose 4*u = 5*h - 320, -u - 111 - 81 = -3*h. What is the greatest common factor of 160 and h? 32 Let q(m) = -20*m - 5. Let k be q(-2). Let z be 2 - (22/1)/1. Let h = k + z. Calculate the greatest common divisor of h and 15. 15 Let f = 18 + -3. What is the highest common factor of f and 165? 15 Suppose 5*u = 6*u - 15. Suppose -4*k = 3*i - u + 3, -2*i = -3*k + 9. Suppose i = w - 5*w + 64. Calculate the greatest common factor of w and 8. 8 Suppose 3*p = 2*i - 117, 0 = -4*i - 0*i - 5*p + 267. Let o be (32/3)/(7/i). Calculate the highest common factor of 12 and o. 12 Suppose -p = 3*x - 63 - 15, 2*x = -2*p + 148. Let y be 9 + -2*1/2. Calculate the greatest common factor of p and y. 8 Suppose -154 = -5*n - 2*k, 5*n = -4*k - 37 + 195. Let i be 20/(-6)*(-324)/n. Let t be (1/2)/(2/48). What is the highest common divisor of t and i? 12 Let l(w) = 22*w - 2. Let h be l(-2). Let m = 78 - h. Let t = m + -85. Calculate the highest common factor of t and 26. 13 Let r(p) = -p**3 + 11*p**2 + p - 10. Let x be r(11). What is the greatest common divisor of x and 1? 1 Let i(k) = 3*k**2 - 3*k + 4. Let u be i(3). Suppose 0 = -o - 2*j - 0*j - 87, -2*o - 199 = -j. Let v = -42 - o. Calculate the highest common factor of v and u. 11 Suppose m + 3 = -2*a, -3*m + 5*m = -2. Let v be 2/3*(a - -10). Let b(t) = 2*t**2 - 3*t + 4. Let z be b(2). What is the greatest common divisor of v and z? 6 Let c(l) = -82*l + 2. Let q be c(-1). Calculate the highest common factor of 12 and q. 12 Let z(u) = 15*u - 9. Let h be z(3). Calculate the highest common factor of 54 and h. 18 Suppose 0 = 4*j - 70 + 6. Suppose -5*w + w = -64. Calculate the greatest common divisor of j and w. 16 Let r(b) = 3*b + 21. Let v be r(8). Suppose -63 = -5*q - 3*a, 0 = 2*q - a - 4 - 30. What is the highest common divisor of v and q? 15 Let y = 21 - 5. Suppose 0 = -3*c + q + 97, 0 = -5*q - 5. Calculate the highest common factor of c and y. 16 Suppose -y - 2*y = -12. Suppose y*r + s = -r + 198, s = -4*r + 158. Let n be ((-10)/4)/((-2)/4). What is the highest common divisor of r and n? 5 Let i(s) = s**3 + 7*s**2 + 2*s - 6. Let x(r) = r**2 + 10*r + 3. Let o be x(-9). Let c be i(o). Calculate the greatest common divisor of 54 and c. 18 Let n = 40 + -12. What is the highest common factor of n and 112? 28 Suppose 2*h = -r + 15, -h + 5*r - 5 = 4. Calculate the highest common factor of h and 42. 6 Suppose -2*x + 32 + 12 = 0. Suppose 4*w + 5*m = 415, 4*w - 125 = 3*w + 3*m. Calculate the highest common factor of x and w. 22 Let k(d) = -4*d - 3. Let a be k(-3). Let m = -4 - -85. What is the greatest common factor of a and m? 9 Let y be ((-508)/(-2))/(-2)*1. Let s = y - -187. Let o = -719 + 739. What is the greatest common factor of s and o? 20 Suppose 406*p + 170 = 411*p. Calculate the highest common factor of p and 272. 34 Let m = 128 + -68. What is the greatest common divisor of m and 90? 30 Suppose 3*x + 6*x = 1872. What is the highest common divisor of 26 and x? 26 Suppose -2*h = 3*p - 47 - 13, p - 25 = h. Calculate the greatest common divisor of 44 and p. 22 Let z be -2 + -2 + 8 - -1. Suppose 2*x = -z*t + 135, x - 5*x = t - 243. Let h = x - 18. What is the highest common factor of 6 and h? 6 Let b be (2/(-5))/(((-3)/405)/1). Calculate the greatest common divisor of 6 and b. 6 Let z(x) be the second derivative of -x**5/20 - x**4/6 + x**3/3 - 2*x**2 + x. Let k be z(-5). Let l = 2 + k. What is the greatest common factor of l and 42? 21 Let d(o) = -o**2 - 5*o + 8. Let m be d(-5). Let i = 15 - 10. Suppose i = 3*q + 2*q, 4*q = 4*u - 252. What is the greatest common divisor of m and u? 8 Let q = 23 + 2. What is the highest common divisor of q and 5? 5 Let r(i) = 18*i + 2. Let k be r(-2). Let f = -18 - k. Let m be ((-4)/3)/(1/(-18)). What is the greatest common factor of m and f? 8 Let v(n) = -2*n**3 + 3*n**2 - 2*n. Let c be v(-3). Suppose 355 = 3*k + 4*r + c, -3*r - 156 = -2*k. Calculate the greatest common factor of k and 12. 12 Let z be (36/14)/((-15)/(-105)). Calculate the highest common divisor of z and 45. 9 Suppose 6*i = 4*i + 144. Let n = -60 + 86. Let k = n + -17. Calculate the greatest common factor of i and k. 9 Suppose -3*v + 103 = 31. Calculate the highest common divisor of v and 12. 12 Let s be 1/(-5) - (-1144)/20. Let f = 87 - s. Suppose 3*u - 219 + f = 0. What is the highest common divisor of u and 7? 7 Let a(d) = d - 1. Let i be a(5). Suppose 2*s = u + i, 8 + 17 = 5*s + 5*u. Let v = -2 + s. What is the highest common divisor of 9 and v? 1 Let d(r) = 6*r + 2. Let c(w) = 17*w + 6. Let s(y) = 3*c(y) - 8*d(y). Let x be s(6). Suppose 10 = j - 0*j. Calculate the greatest common factor of j and x. 10 Suppose 3*k = 3*f - 156 + 6, 0 = -4*f - k + 190. What is the highest common factor of f and 24? 24 Suppose -7*s = -233 + 2. Calculate the greatest common factor of s and 3. 3 Suppose -2*z - 4*m + 16 = 0, 8 = 3*m - 1. Suppose -158 = -4*c - 4*q - 2, -2*c + z*q + 66 = 0. What is the greatest common divisor of 12 and c? 12 Let d(n) = n + 28. Let v be d(-23). Let g(q) = -q**3 - q**2 + 5. Let b be g(0). Calculate the highest common factor of v and b. 5 Let x(r) = 40 + 3*r - 22 - 2. Let s be x(8). Calculate the greatest common factor of s and 5. 5 Suppose 3*i = 2*r - 17 - 8, 4*i + 52 = 5*r. What is the highest common factor of r and 64? 8 Let f(u) = -2*u + 2. Let v be f(-2). Let t be (4/(-6))/((-5)/(-90)). Let x be (-32)/t - 1/(-3). Calculate the greatest common factor of v and x. 3 Suppose 0 = 5*m - 3*x + x - 996, -3*x + 387 = 2*m. Calculate the greatest common factor of m and 44. 22 Let v(d) = -2*d**3 - 4*d**2 + d + 3. Suppose -5*w - 16 + 1 = 0. Let t be v(w). What is the highest common divisor of t and 18? 18 Suppose -3*v - 2 + 8 = 0. Suppose -v*l + 3*l = 126. Let a = 157 + -143. What is the greatest common divisor of l and a? 14 Suppose 0 = -3*y + 5*t + 37, t = y - 6*y + 15. Suppose -2*d + 1 = -7. Calculate the greatest common divisor of d and y. 4 Suppose 0 = -b - 2*c + 66, b + 3*c - 36 = 33. Suppose -7*f + b = -129. Calculate the highest common divisor of f and 54. 27 Let v(a) = a**2 - 7*a + 6. Suppose -m = -0*m - 6. Let d be v(m). Suppose 34 = h - d*h. Calculate the greatest common divisor of 17 and h. 17 Suppose -2*z + t + 43 = 3*z, 23 = z - 5*t. What is the highest common factor of z and 1? 1 Suppose 5*s = 6*s - 9. Let a be (-1 - -1 - 2) + 20. Let i be 644/a + 2/9. Calculate the greatest common divisor of s and i. 9 Suppose 3*t + 2*b = 2*t + 78, -3*t = -3*b - 261. Suppose -2*j + 9 + 15 = 0. Calculate the highest common divisor of t and j. 12 Let p be (1*(-45)/3)/(-1). What is the highest common factor of 5 and p? 5 Let l = 85 - 66. Calculate the greatest common divisor of 152 and l. 19 Let n = -25 + 45. What is the highest common factor of n and 30? 10 Let t = -65 - -145. What is the greatest common factor of t and 5? 5 Suppose 2*q + 5 = 15. Let x(f) = 22*f + 0 - 1 + 4 - q. Let n be x(2). Calculate the greatest common divisor of n and 6. 6 Suppose 0 = -3*p - 0*p + 9. Suppose -2*b + 30 = 3*b - 2*v, p*b = -4*v + 18. Suppose 6 = b*g - 4*g. What is the greatest common factor of 12 and g? 3 Let p(u) = -u**3 + 5*u**2 - 2*u + 4. Let h be (4/3)/((-5)/(-15)). Let o be p(h). Calculate the highest common factor of o and 6. 6 Let z be (-1 + 1 + -1)/((-6)/84). Calculate the highest common factor of 42 and z. 14 Let x be 572/6 + (-20)/(-30). Calculate the highest common factor of 12 and x. 12 Suppose 4*f + 10 = -3*u + 71, f - 67 = -3*
{ "pile_set_name": "DM Mathematics" }
Calculate 5*h(k) + 3*r(k). -4*k**3 - 2*k Let i(x) = 1003*x**3 - 2*x**2 + 16*x + 4. Let n(d) = 1004*d**3 - 2*d**2 + 25*d + 5. Determine 3*i(p) - 2*n(p). 1001*p**3 - 2*p**2 - 2*p + 2 Let u(y) be the second derivative of -y**4/3 + 5*y**3/6 + 3*y**2/2 - 6294*y. Let v(s) = -5*s**2 + 6*s + 4. Calculate 4*u(j) - 3*v(j). -j**2 + 2*j Suppose 0 = 3*m - 3*o, -4*m + 910 = -5*o + 913. Let a(d) = d**3 - 5*d**2 - 4*d. Let x(p) = -p**3 + 5*p**2 + 5*p. What is m*a(s) + 2*x(s)? s**3 - 5*s**2 - 2*s Let k = 132 - 125. Suppose -k*r - 20 = -6. Let a(f) be the second derivative of -f**4/6 + f**3/3 + 2*f**2 + f. Let n(j) = j + 1. Give r*n(d) + a(d). -2*d**2 + 2 Let l(r) = 7*r**3 + r**2 + 2*r. Suppose -31 - 5 = 4*a - 4*p, -5*a = -2*p + 30. Let v(t) = -t**3 - t**2. What is a*v(y) - l(y)? -3*y**3 + 3*y**2 - 2*y Let s(t) = 0*t**2 + 0*t**2 - 12 + 32*t**3 - 12*t**2. Let y = -126 + 121. Suppose -6*i + 8*i = -24. Let x(q) = -13*q**3 + 5*q**2 + 5. What is i*x(o) + y*s(o)? -4*o**3 Let p(d) = -12*d + 9. Let a(j) = j**3 + 4*j**2 - 2*j - 2. Let n be a(-2). Let o(r) = -5*r - 4*r - 12*r + 12 + 18*r - n. What is -21*o(q) + 5*p(q)? 3*q + 3 Let t(v) = 122066176*v**3 + 51931*v**2 - 51931*v + 103862. Let n(u) = 9402*u**3 + 4*u**2 - 4*u + 8. Calculate 51931*n(x) - 4*t(x). -9442*x**3 Let s(k) = -2*k**3 - 3*k**2 - k - 4. Let x(y) = -5*y**3 - 7*y**2 - 2*y - 9. Let n(h) = -7*s(h) + 3*x(h). Let z(p) = 2*p**3 - 2*p - 5. What is 4*n(d) + z(d)? -2*d**3 + 2*d - 1 Let l(z) be the third derivative of z**6/30 - z**5/60 + z**4/24 + z**3/6 + 692*z**2. Let o(m) = 9*m**3 - 2*m**2 + m + 3. Determine -7*l(q) + 3*o(q). -q**3 + q**2 - 4*q + 2 Let y(p) = 15*p**2 - 12*p - 14. Let l(b) = -8*b**2 + 7*b + 7. Give 11*l(w) + 6*y(w). 2*w**2 + 5*w - 7 Let c(l) = -4*l + 61. Let o be c(12). Let b(m) = -18*m + 48*m - o*m + 1 + 0 - 11*m. Let n(u) = -u - 1. Calculate b(x) + 4*n(x). 2*x - 3 Let a(c) = -c**3 + c. Let j(y) = 9 - 98*y + 5*y**3 - 4 + 53*y + 43*y. What is 2*a(h) + j(h)? 3*h**3 + 5 Let j(s) = -s**2. Let h(p) = -2*p**2 + 2*p + 2. Let k be (-9)/8*296/(-111). Give k*j(c) - h(c). -c**2 - 2*c - 2 Let z(u) = -26*u - 53. Let t(s) = 12*s. What is -2*t(f) - z(f)? 2*f + 53 Let z(s) = -2*s**2 + 684*s. Let k(n) = -11*n. Calculate 2*k(u) - z(u). 2*u**2 - 706*u Let r(c) = -2*c - 15. Let i(k) = -k. Suppose 16*s - 17 = -1. Let t(a) = -3*a + 2*a + 10 - 2. Let d(u) = s*t(u) - 2*i(u). What is 11*d(q) + 6*r(q)? -q - 2 Let f(q) = -13*q + 3122. Let g(p) = -7*p + 1551. Calculate 6*f(y) - 11*g(y). -y + 1671 Let q(p) = -p**2 + 5. Let f(i) = -6. Suppose 0 = -189*r + 185*r + 80. Suppose -11 = 6*l - 9*l - j, 0 = -5*j - r. Determine l*f(n) + 6*q(n). -6*n**2 Let n(p) = 17*p**3 + 61*p**2 + 57. Let s(v) = 11*v**3 + 31*v**2 + 31. Let m(x) = 5*n(x) - 9*s(x). Let q(w) = -5*w**3 + 9*w**2 + 2. Calculate 6*m(i) - 17*q(i). i**3 + 3*i**2 + 2 Suppose 59*i - 93 = -89 - 299. Let m(w) = -2*w**2 + 5*w. Let l(c) = 4*c**2 - 9*c. What is i*m(s) - 2*l(s)? 2*s**2 - 7*s Let l(n) = n + 3*n - 5*n**2 - 4 + 3*n**2. Let t(p) = -2 - 2*p**2 - 5 + 7*p - p**2. Let j be 28/50*(-5000)/(-400). Give j*l(w) - 4*t(w). -2*w**2 Let v(r) = 4*r**3 + 41*r**2 + 4*r - 4. Let n(q) = -21*q**3 - 198*q**2 - 21*q + 21. Give -2*n(j) - 11*v(j). -2*j**3 - 55*j**2 - 2*j + 2 Let t(g) = g**3 - 32*g**2 + 90*g - 88. Let w be t(29). Let p(x) = -x**3 + x**2 + x + 1. Let d(j) = 95*j**3 - 114*j**2 - 114*j - 114. What is w*d(h) - 114*p(h)? 19*h**3 Let k(t) = -3*t**2 + t + 2. Let r be k(2). Let p = 3 + r. Let v(h) = -h**2. Let w(q) be the first derivative of -3*q**3 - 763. Determine p*w(y) + 40*v(y). 5*y**2 Let o(d) = d**2 - 9*d - 4. Suppose -2*a = -5*i + 43, 1214*i - 34 = 5*a + 1212*i. Let m(l) = 9*l + 3. What is a*m(g) - 3*o(g)? -3*g**2 - 9*g Let x(j) = -34*j. Let y(s) = -11*s. Suppose 92 + 153 = 5*k. Suppose 51*w + 6 = k*w. Calculate w*x(p) + 10*y(p). -8*p Let q(j) = -2*j**3 + 6*j**2 + 95*j + 29. Let b(z) = z**2 + 19*z - 1. Determine 10*b(i) - 2*q(i). 4*i**3 - 2*i**2 - 68 Let g(x) = -61*x - 9. Suppose -65*f + 257 - 423 - 419 = 0. Let v(l) = 15*l + 2. What is f*v(w) - 2*g(w)? -13*w Let l(q) = q**3 - 7*q**2 - 4*q + 3. Let p(o) = -2 + 3*o + 6*o**2 - 12793*o**3 + 6389*o**3 + 6403*o**3. Give 3*l(f) + 4*p(f). -f**3 + 3*f**2 + 1 Let v(s) = -s**3 - 9*s. Suppose 2*q + 14 = 2. Let o(t) = 3*t + 22. Let w be o(-13). Let c(y) = 3*y**3 + 26*y. Calculate q*c(z) + w*v(z). -z**3 - 3*z Let f(r) = 49*r - 6. Let g(z) = -243*z + 30. Give -21*f(o) - 4*g(o). -57*o + 6 Let c(f) = -5*f**2 + 2*f. Suppose -10 = 3*a - 25*y + 23*y, 4*y + 20 = -4*a. Let l(z) = -154*z**2 + 63*z. Give a*l(p) + 126*c(p). -14*p**2 Let r(q) = -11*q**3 + 4*q**2 + 5*q. Let s(g) = -6*g**3 + 2*g**2 + 2*g. Let l(t) = t**2 + 48*t + 402. Let x be l(-11). Determine x*s(o) + 2*r(o). 8*o**3 - 2*o**2 Let i(z) = -1188*z**2. Let o(t) = 2 + 8796*t**2 - 2 - 8825*t**2. What is -4*i(u) + 165*o(u)? -33*u**2 Let b(n) = n**3 - 15*n**2 - 2. Let r(a) = 11*a**3 - 5*a**3 - 184 + 106 - 76*a**2 + 67. Calculate 11*b(v) - 2*r(v). -v**3 - 13*v**2 Let v(m) = 12*m**2 - 15*m. Suppose -s + 7 = -8. Let l(g) = 3*g**2 - 4*g. Let t = 73 + -64. Suppose -5*w + 27 - t = -2*f, -2*f = w + 6. What is f*v(j) + s*l(j)? -3*j**2 Let b(z) = -3*z**3 + 9*z**2 + 5. Let w(l) = l**3 - l**2 - 1. Suppose -2*f = -235 + 233. Suppose 55*k + 45 = 64*k. What is f*b(s) + k*w(s)? 2*s**3 + 4*s**2 Let r(j) = -2*j + 5. Let s(u) = 4*u - 11 - 7*u - 4*u + 3*u + 8*u. Calculate -5*r(m) - 2*s(m). 2*m - 3 Let n(a) = -110*a**3 - 6*a**2 + a - 1. Let s(j) = 219*j**3 + 14*j**2 - j + 2. What is -7*n(h) - 3*s(h)? 113*h**3 - 4*h + 1 Let k(o) = 443*o - 3. Let r(n) = -875*n + 6. Calculate -13*k(g) - 6*r(g). -509*g + 3 Let v(x) = 11*x**3 - 6*x**2 - 1327*x - 9. Let o(c) = -6*c**3 + 3*c**2 + 664*c + 5. Determine -7*o(a) - 4*v(a). -2*a**3 + 3*a**2 + 660*a + 1 Let s(v) = 286*v**2 - 65*v - 65. Suppose -75*r + 82*r = 14. Let p(i) = 97 - 13*i**r + 89 - 280 + 97 + 3*i. Give 65*p(k) + 3*s(k). 13*k**2 Let x(d) = d**2 + 11*d + 14. Let t be x(-11). Suppose -17 = t*g + 11. Let m(k) = 2*k**2 + 2*k + 5. Let s(y) = -y**3 - 3*y**2 - 3*y - 5. Give g*s(l) - 3*m(l). 2*l**3 - 5 Let s(u) be the third derivative of 7*u**5/60 - 5*u**3/6 + 1239*u**2 + u. Let x(r) = 7*r**2 - 4. Give 4*s(a) - 5*x(a). -7*a**2 Suppose 105 = 48*z - 218 + 83. Let g(u) = -27*u**2 - 5*u + 9. Let p(f) = -14*f**2 - 3*f + 5. Calculate z*p(v) - 3*g(v). 11*v**2 - 2 Let h(g) = 5*g**2 + 56. Let r(l) = 14*l**2 + 167. Suppose 5*d - j - 91 + 2 = 0, -5*j + 14 = 2*d. Give d*h(q) - 6*r(q). q**2 - 50 Let x(g) = g. Let o(d) be the third derivative of -d**4/6 + 188*d**2. Let n be (81/54)/(2/(-8)). Calculate n*x(v) - o(v). -2*v Let m(j) = 453530*j**3 - 1736*j**2 + 868*j - 1736. Let g(o) = 2614*o**3 - 10*o**2 + 5*o - 10. Calculate 868*g(u) - 5*m(u). 1302*u**3 Let v(i) = 4475*i**2 - 2*i - 2. Let q(x) = -187952*x**2 + 85*x + 85. What is 2*q(d) + 85*v(d)? 4471*d**2 Let g = -2982 + 2979. Let j(b) = 2*b**3 + 4*b - 2. Let o(x) = x**3 + 4*x - 3. Determine g*j(k) + 2*o(k). -4*k**3 - 4*k Let i(y) = y - 1. Let b(x) = 65. Determine -b(n) + 3*i(n). 3*n - 68 Suppose -960 = 5*j - 6530. Let t(w) = w**2 - j + 1114. Let i(l) = -7*l**2 + 1. Let z = -31 - -32. Determine z*i(k) + 4*t(k). -3*k**2 + 1 Let u(h) = -14*h**2 + 2*h - 459. Let s(o) = -17*o**2 + 3*o - 459. What is -4*s(t) + 5*u(t)? -2*t**2 - 2*t - 459 Let r = 511 - 551. Let t(i) = -i**2 - i + 1. Let c(z) = z**3 - 8*z**2 - 8*z + 8. What is r*t(g) + 5*c(g)? 5*g**3 Let o(b) = -238612*b + 20570. Let f(r) = 12*r - 1. Give -20570*f(c) - o(c). -8228*c Let a(u) = -39 - 19 + 72 + u - 14. Let i(q) be the second derivative of 5*q**3/3 + q. Calculate -5*a(p) + i(p). 5*p Let w(i) = -2*i**2 + 35*i + 883. Let y be w(-14). Let r(k) = -k**2 + k + 1. Let g(j) = 6*j**2 - 15*j - 18. Give y*g(p) + 15*r(p). -9*p**2 - 3 Let o(y) = -49*y**2 - 2*y - 7. Let b(g) be the third derivative of -2*g**5/5 - g**4/24 - g**3/2 - 484*g**2. Give -9*b(i) + 4*o(i). 20*i**2 + i - 1 Let j(z) = 12*z + 9*z + 7*z**2 - 23*z. Suppose 7*b + 40*b + 235 = 0. Let n(g) = 14*g**2 - 5*g. Determine b*j(f) + 2*n(f). -7*f**2 Let w(b) = -205*b**3 - b**2 - 11*b - 4. Let d(l) = -2*l**3 - 2*l - 1. Calculate -6*d(z) + w(z). -193*z**3 - z**2 + z + 2 Let c(f) = -12*f**3 - 5*f**2 + 161*f + 5. Let m(y) = -12*y**3 - 4*y**2 + 163*y + 4. What is -4*c(g) + 5*m(g)? -12*g**3 + 171*g Let q(m) = -178 - 3*m + 366 + 3*m + 6*m**
{ "pile_set_name": "DM Mathematics" }
the remainder when 4128 is divided by 118. 116 Calculate the remainder when 13433 is divided by 558. 41 Calculate the remainder when 39062 is divided by 542. 38 Calculate the remainder when 319 is divided by 195. 124 What is the remainder when 62207 is divided by 203? 89 What is the remainder when 1424650 is divided by 227? 225 Calculate the remainder when 12048 is divided by 90. 78 What is the remainder when 11027 is divided by 403? 146 What is the remainder when 9200 is divided by 6? 2 What is the remainder when 46896 is divided by 23442? 12 Calculate the remainder when 20982 is divided by 3243. 1524 What is the remainder when 20282 is divided by 120? 2 Calculate the remainder when 246507 is divided by 1826. 1823 Calculate the remainder when 62681 is divided by 3. 2 What is the remainder when 15147 is divided by 5031? 54 Calculate the remainder when 9341 is divided by 223. 198 Calculate the remainder when 6655 is divided by 310. 145 Calculate the remainder when 146970 is divided by 412. 298 Calculate the remainder when 3137 is divided by 539. 442 What is the remainder when 82648 is divided by 85? 28 What is the remainder when 11908 is divided by 212? 36 Calculate the remainder when 12494 is divided by 4136. 86 What is the remainder when 6569 is divided by 2174? 47 What is the remainder when 19496 is divided by 675? 596 What is the remainder when 3439007 is divided by 72? 71 Calculate the remainder when 165590 is divided by 56. 54 Calculate the remainder when 2391 is divided by 2186. 205 What is the remainder when 938690 is divided by 71? 70 Calculate the remainder when 13713 is divided by 4563. 24 What is the remainder when 66019 is divided by 13199? 24 Calculate the remainder when 250 is divided by 51. 46 Calculate the remainder when 5759 is divided by 54. 35 Calculate the remainder when 4845 is divided by 67. 21 What is the remainder when 211979 is divided by 10? 9 What is the remainder when 713 is divided by 362? 351 Calculate the remainder when 1050 is divided by 89. 71 What is the remainder when 22091 is divided by 1056? 971 What is the remainder when 256198 is divided by 11? 8 Calculate the remainder when 11946 is divided by 8. 2 Calculate the remainder when 520217 is divided by 32. 25 What is the remainder when 412 is divided by 26? 22 Calculate the remainder when 19198 is divided by 1130. 1118 What is the remainder when 18456 is divided by 142? 138 What is the remainder when 17881 is divided by 293? 8 What is the remainder when 13906 is divided by 557? 538 What is the remainder when 7594 is divided by 80? 74 What is the remainder when 2317 is divided by 446? 87 Calculate the remainder when 115487 is divided by 32. 31 What is the remainder when 63339 is divided by 1623? 42 Calculate the remainder when 4206 is divided by 86. 78 Calculate the remainder when 198 is divided by 146. 52 Calculate the remainder when 90274 is divided by 25. 24 Calculate the remainder when 131988 is divided by 143. 142 Calculate the remainder when 20150 is divided by 8. 6 Calculate the remainder when 287197 is divided by 906. 901 What is the remainder when 738051 is divided by 131? 128 Calculate the remainder when 84770 is divided by 86. 60 What is the remainder when 3489 is divided by 838? 137 What is the remainder when 57025 is divided by 203? 185 What is the remainder when 20866 is divided by 18? 4 Calculate the remainder when 762203 is divided by 12. 11 Calculate the remainder when 5026 is divided by 197. 101 Calculate the remainder when 479318 is divided by 239650. 18 Calculate the remainder when 19000 is divided by 1059. 997 What is the remainder when 84107 is divided by 94? 71 Calculate the remainder when 1835 is divided by 1802. 33 Calculate the remainder when 7404 is divided by 2327. 423 What is the remainder when 21489 is divided by 3053? 118 What is the remainder when 6237 is divided by 174? 147 What is the remainder when 153436 is divided by 16? 12 What is the remainder when 294 is divided by 28? 14 What is the remainder when 354754 is divided by 51? 49 What is the remainder when 1298 is divided by 567? 164 What is the remainder when 14754 is divided by 164? 158 What is the remainder when 5904 is divided by 255? 39 What is the remainder when 129127 is divided by 191? 11 What is the remainder when 1087 is divided by 17? 16 What is the remainder when 357 is divided by 204? 153 Calculate the remainder when 213166 is divided by 53274. 70 Calculate the remainder when 67714 is divided by 49. 45 Calculate the remainder when 338190 is divided by 76. 66 What is the remainder when 52122 is divided by 144? 138 Calculate the remainder when 36722 is divided by 7342. 12 Calculate the remainder when 52493 is divided by 17. 14 What is the remainder when 29323 is divided by 425? 423 Calculate the remainder when 1699 is divided by 527. 118 What is the remainder when 184313 is divided by 576? 569 What is the remainder when 1737 is divided by 125? 112 What is the remainder when 31292 is divided by 16? 12 Calculate the remainder when 40393 is divided by 2242. 37 What is the remainder when 520126 is divided by 288? 286 What is the remainder when 25783 is divided by 5? 3 Calculate the remainder when 1614562 is divided by 485. 482 Calculate the remainder when 421890 is divided by 302. 298 Calculate the remainder when 667662 is divided by 13. 8 Calculate the remainder when 13486 is divided by 339. 265 What is the remainder when 6339 is divided by 1052? 27 Calculate the remainder when 7847 is divided by 231. 224 What is the remainder when 112286 is divided by 928? 926 Calculate the remainder when 20659 is divided by 14. 9 What is the remainder when 83958 is divided by 26? 4 Calculate the remainder when 115726 is divided by 9. 4 What is the remainder when 25161 is divided by 23? 22 What is the remainder when 8216 is divided by 14? 12 What is the remainder when 280701 is divided by 68? 65 What is the remainder when 420458 is divided by 783? 770 What is the remainder when 46302 is divided by 2712? 198 What is the remainder when 5398 is divided by 360? 358 Calculate the remainder when 85948 is divided by 143. 5 What is the remainder when 24073 is divided by 2188? 5 What is the remainder when 9671 is divided by 510? 491 Calculate the remainder when 788631 is divided by 18. 15 Calculate the remainder when 10620 is divided by 4564. 1492 What is the remainder when 453 is divided by 214? 25 Calculate the remainder when 900 is divided by 11. 9 What is the remainder when 12174 is divided by 196? 22 Calculate the remainder when 252349 is divided by 90. 79 Calculate the remainder when 1193 is divided by 415. 363 What is the remainder when 25190 is divided by 25190? 0 What is the remainder when 1394 is divided by 126? 8 Calculate the remainder when 1730683 is divided by 935. 933 What is the remainder when 6250 is divided by 201? 19 Calculate the remainder when 133571 is divided by 47. 44 Calculate the remainder when 607616 is divided by 138. 2 Calculate the remainder when 4978 is divided by 684. 190 What is the remainder when 1196 is divided by 22? 8 What is the remainder when 9517 is divided by 23? 18 Calculate the remainder when 154314 is divided by 131. 127 Calculate the remainder when 4340871 is divided by 451. 447 Calculate the remainder when 24800 is divided by 322. 6 Calculate the remainder when 105029 is divided by 54. 53 What is the remainder when 29078 is divided by 20? 18 Calculate the remainder when 16901 is divided by 445. 436 What is the remainder when 52454 is divided by 2? 0 Calculate the remainder when 151959 is divided by 145. 144 What is the remainder when 46685 is divided by 14? 9 Calculate the remainder when 35073 is divided by 17. 2 Calculate the remainder when 6368 is divided by 1060. 8 Calculate the remainder when 4133 is divided by 1776. 581 What is the remainder when 4518 is divided by 226? 224 What is the remainder when 52180 is divided by 11? 7 What is the remainder when 12798 is divided by 83? 16 Calculate the remainder when 3965 is divided by 205. 70 What is the remainder when 26193 is divided by 13? 11 What is the remainder when 33912 is divided by 3390? 12 Calculate the remainder when 28830 is divided by 89. 83 Calculate the remainder when 16293 is di
{ "pile_set_name": "DM Mathematics" }
) + ((-70)/(-8) - 0). Let o(p) = -5 + 2*p**3 - 3*p**3 + 9*p**2 - 10*p + 2*p. Let r be o(z). Put -4, -3, r in descending order. -3, -4, r Suppose 0 = -4*p - 5*b + 25, 2*p + 3*b - 8 - 7 = 0. Let s be p*(9/6 + -2). Put s, -2, -11 in descending order. s, -2, -11 Let w = 5 + -5. Suppose -3*j - g + 23 = -w*j, 4*j = 4*g + 52. Suppose -3*u + 3 - j = 0. Put 5, 0, u in ascending order. u, 0, 5 Let g = -0.48 - 0.02. Let o be 6/15*10/16. Sort g, o, 5 in descending order. 5, o, g Let s be (-12 + 5)/((-2)/20). Suppose 0 = -g - 5, 0*g = -5*c + g + s. Suppose c - 5 = -4*y. Sort -4, y, 5. -4, y, 5 Let y be (3/9)/((-6)/(-54)). Sort 1, -48, y in descending order. y, 1, -48 Let p(l) = -l**3. Let m be p(1). Sort 3, -5, m. -5, m, 3 Let n = 49648 - 346685/7. Let v = n + -122. Let m = 0.1 - -0.3. Put m, 1/2, v in decreasing order. 1/2, m, v Let l = 124/9 + -626/45. Let n = -519/68 + 31/4. Let m be (-16)/(-12)*(-2 + 5). Sort n, m, l in descending order. m, n, l Let l(m) = -m**3 - 9*m**2 - 9*m - 4. Suppose -4*k - 4*a - 3 = 45, 4*k + a = -36. Let i be l(k). Sort -1, i, 3 in increasing order. -1, 3, i Let i = -8 - -11. Let k be (-2*1/2)/i. Let b be 2*(3 + -2)*-2. Put k, 4, b in increasing order. b, k, 4 Let c = -9 + 6. Let j = 2 - c. Suppose 9 = 3*l - 5*a - 6, 4*l - a = 3. Sort l, j, -2/7. -2/7, l, j Suppose 7*d - 2*d = -5*c, 3*d = -2*c + 3. Let n be 0 + 3/(6/8). Let f be (3/n)/(5/(-4)). Sort -0.4, c, f in decreasing order. -0.4, f, c Let f = -9 + 7. Let n = -3 + 3. Let y = 0.2 - n. Sort 2/7, y, f in descending order. 2/7, y, f Let h(a) = -a - 2. Let x be h(0). Let y = 5 + x. Suppose -q - r - 12 = y*r, -2*q + 9 = -3*r. Put -5, -2, q in increasing order. -5, -2, q Let d be (6/5)/(6/40). Let p = d + -6. Let f = -13 + 14. Put -4, p, f in increasing order. -4, f, p Let o = -0.63 - -0.93. Put o, 3/7, -4/3, 0.4 in ascending order. -4/3, o, 0.4, 3/7 Let h be -1*2 - (-25 + -2). Let k(y) = y**3 - 6*y**2 + 4*y + 5. Let o be k(5). Suppose o = 8*r - 3*r + h. Put r, -1, 1 in descending order. 1, -1, r Let b be 2 - 1 - (0 - -1). Suppose -5*p + 3*l = 37, b*p + l = p + 9. Sort 1, p, 0. p, 0, 1 Suppose -3*r - 2*d + 32 = 0, 3*r + 0*r - 4*d - 26 = 0. Let u be 0 - 0 - r/8. Let k = 1 - 3. Put k, u, -0.3 in descending order. -0.3, u, k Let m(z) = -z**3 + 8*z**2 - 12*z - 1. Let x be m(6). Sort -2, x, -4, 1. -4, -2, x, 1 Let r = 68/75 - 6/25. Suppose 3*n - b = 14, n + 4*b + 2 = 3*b. Sort n, 1/4, r in decreasing order. n, r, 1/4 Let x = -4241/15 + 838/3. Let l = 18/5 + x. Put l, 5, 0 in ascending order. 0, l, 5 Let t = -21 + 23. Suppose 0 = 4*c + 7 + 1. Sort c, t, 4 in ascending order. c, t, 4 Let h = -1 + 4. Suppose 18 = 2*z - 3*o + 4, -3*o - 18 = -h*z. Suppose -2 + 6 = -z*u. Sort 1, 3, u. u, 1, 3 Let r be (5 + -3 - 3)*-38. Let g = 194/5 - r. Sort -2, 2, g. -2, g, 2 Let i(k) = k**3 + 2*k**2 - 3*k. Let d be i(-3). Let s be -6 - (d - (-6)/(-2)). Let a = -2 + 2. Put a, 1, s in decreasing order. 1, a, s Suppose -r + 6*r = -5. Suppose 3*k + 0*y + 3*y - 3 = 0, k - 4*y + 14 = 0. Let m = -4 + 1. Put k, r, m in ascending order. m, k, r Let k = 36 - 31. Sort k, 1/4, 45/4 in increasing order. 1/4, k, 45/4 Let k be 5/3 - 10/15. Let t be 2 + k*(-2 + 3). Let j = 3.8 + 0.2. Put -2, j, t in decreasing order. j, t, -2 Let y = -2 - -7. Suppose -y*q + 0 - 15 = 0. Suppose -3*d + 10 = -3*s - 5*d, 5*s - 2*d + 22 = 0. Put q, s, 4 in decreasing order. 4, q, s Let n = 5 + -7. Let q(d) = -4*d**3 + d**2 - d + 1. Let k be q(1). Sort n, 1, k. k, n, 1 Let o = -10 - -11. Let u = 1.2 - o. Put -1, 1/4, u in descending order. 1/4, u, -1 Let w be (((-3)/(-1))/(-3))/(-1). Suppose 4*y - 8*y = -56. Let h = 20 - y. Sort h, w, -1. -1, w, h Let o = 3.02 - 0.02. Put 0, -1, o in descending order. o, 0, -1 Let x = 16 - 17.8. Let q = 0.8 + x. Let r = 5 - 3. Sort q, -4, r. -4, q, r Let p(m) = m**2 + 6*m - 6. Let h be p(-7). Let l(v) = 2*v**2 - 3*v. Let s be l(2). Let f be (s - 1) + (-2 - h). Put -1/10, f, 0.4 in ascending order. f, -1/10, 0.4 Let o = -19 + 11. Let i be (-21)/12 - (-2)/o. Sort -1, -3, i in decreasing order. -1, i, -3 Let p(b) = 1 - 2 - b + 0*b + 3*b. Suppose -t + 2 = 5*a, -2 = -0*t - t - 4*a. Let y be p(t). Put y, 1, -2 in ascending order. -2, 1, y Let w = -3.4 - -3.8. Put -1/6, -4, w in descending order. w, -1/6, -4 Let i = 514 - 514.1. Let q = -25/3 - -9. Sort -4, i, q in descending order. q, i, -4 Let d be 0 + -2 - (-208)/91. Let a = -124/3 - -5822/141. Let m = a + -137/94. Sort d, -5, m in descending order. d, m, -5 Let j = -0.17 - 0.33. Sort -1, j, -5, 2/5 in increasing order. -5, -1, j, 2/5 Suppose -3*x - 1 = -5*a, -6*a + 10 = -a. Sort -2, 4, 5, x. -2, x, 4, 5 Suppose 3*d - 1 = 4*d. Let j = d + -1. Put 4, 0.2, j in descending order. 4, 0.2, j Let v = -12 - -8. Let z be ((-10)/4)/(2/(-4)). Sort z, v, -1. v, -1, z Suppose v + 3*x + 25 = 6, 9 = 4*v - 5*x. Suppose -c = -2*n - 6, -3*c - n - 11 = -1. Let y be -5 + (-2)/(2/c). Put v, y, 5 in ascending order. v, y, 5 Let o = 6 + -4. Suppose -u - o = 3. Sort -1/6, -0.5, u in increasing order. u, -0.5, -1/6 Let p = -3 - -2.9. Let b = 0.49 - -0.01. Let a = b + p. Sort a, 0.5, 1/5 in decreasing order. 0.5, a, 1/5 Suppose 5*q - 6 - 14 = 0. Suppose 6 = n + n - 4*y, -2*y - 18 = -4*n. Suppose -n = s - q. Sort 2, 4, s. s, 2, 4 Let p = -2 - -2. Let v be (1 + -7)/3 - -5. Let g be ((-3)/4)/(2/8). Sort p, v, g in decreasing order. v, p, g Let w = 8.005 + -0.005. Put -0.5, w, -2/15, -5 in descending order. w, -2/15, -0.5, -5 Let x(j) = 8*j - 5. Let f(l) = 4*l - 3. Let d be 37/(-5) - 12/(-30). Let o(i) = d*f(i) + 4*x(i). Let k be o(-1). Put 4, 5, k in decreasing order. 5, 4, k Let b be 0/((-3)/(3/(-1))). Put 3, b, -7 in increasing order. -7, b, 3 Let m = -2.1 - -0.1. Put 0.2, -0.2, m in descending order. 0.2, -0.2, m Let z(i) = i**2 + 9*i + 5. Let k be z(-8). Let l be (-2 + 3)/1 - 10. Let f be (-13)/(-3) + 3/l. Sort k, f, 1. k, 1, f Let u = -85 + 88. Sort -2, 4, u, 2 in ascending order. -2, 2, u, 4 Let w = 0 + 0. Let c be -1 - (-1 - -1)/1. Let z be ((-5)/4)/(1/(-4)). Put w, z, c in increasing order. c, w, z Let l = 1.6 + -2.6. Sort -0.05, l, -2, 5. -2, l, -0.05, 5 Let y = 9 - 14. Put y, 5, 2 in ascending order. y, 2, 5 Let v = -0.3 - 1.7. Put -0.2, v, -3/4 in decreasing order. -0.2, -3/4, v Suppose 5*x + 4*n = -n, -x - 16 = 5*n. Let m = -4 + 6. Let b = -16 - -12. Sort x, b, m in descending order. x, m, b Let g be 22/3 - (-2)/3. Suppose -4*n = -2*n + 3*y + 22, -4*n = -3*y + 44. Let c = n + g. Sort c, 4, 0 in decreasing order. 4, 0, c Let d be -3*(-1 + (-4)/6). Suppose -4*m - 5*x + 2 - d = 0, -3*m + 4*x = 10. Let t(j) = j**2 + 1. Let w be t(m). Sort w, 2, -3 in ascending order. -3, 2, w Suppose 4*n - 15 = -3*r, 0 = 3*r - n - 3*n + 9. Sort -2, r, -28 in descending order. r, -2, -28 Suppose -3*c = -8*c. Let j = 8 + -3. Suppose c*m - j*m = 0. Put -5, -4, m in increasing order. -5, -4, m Let i be (-1578)/3213 + 4/14. Let l = -2/119 + i. Put -4/5, l, -2 in ascending order. -2, -4/5, l Let x = 6 + 1. Let m be x/2 + (-1)/(-2). Let n(d) = -d**3 - d + 3. Let v be n(0). Sort m, 0, v in descending order. m, v, 0 Let j = -10.7 - -15.8. Let k = j + -0.1. Sort 0.4, k, 1 in ascending order. 0.4, 1, k Let i = -1.1 + 15.1. Let t = i - 13.74. Let l = 0.04 + t. Sort l, 5, 0 in descending order. 5, l, 0 Let d = -145 - -148. Let x(b) = -b**2 + 3*b + 5. Suppose 5*v - 6*f = -f, -f = 2*v - 15. Let i be x(v). Sort d, 1, i in decreasing order. d, 1, i Let u = -11 - -11.4. Sort u, 3, -0.1 in descending order. 3, u, -0.1 Let r = -2 - 2. Let v be -2*(-2 + 2/r). Suppose 5*h = -10, -4*k + 3*h - v*h - 24 = 0. Sort k, 5, 2 in increasing order. k, 2, 5 Let h = -1.3 - -3.3. Sort h, -1/3, -2/17. -1/3, -2/17, h Let k be 2/48*-3*-2. Let r = 0.4 - 0. Put -5, k, r in decreasing order. r, k, -5 Let d = -4 + 4.03. Let w = 6.47 + d. Let u = w - 7. Sort -4/7, u, -0.2 in ascending order. -4/7, u, -0.2 Let y = 0.1 - 0. Let n = -3 + 3.6. Let b = 0.8 - n. Sort y, b, -3/7 in decreasing order. b, y, -3/7 Let v = -36 + 31. Sort v, 0.2, -0.2. v, -0.2, 0.2 Let o = 40.7 + -41. Put 4, o, 1 in descending order. 4, 1, o Let x(q) = q**2 + 9*q + 1. Let c be x(-9). Sort -2, 3, c in descending order. 3, c, -2 Suppose 4*y - 3*y + 4*l + 5 = 0, 0 = -2*y - 4*l - 2. Sort y, 9, 2 in descending order. 9, y, 2 Suppose -1 = -2*f + 5. Sort 4, f, 0 in increa
{ "pile_set_name": "DM Mathematics" }
+ 0). -f**2 Expand (2*j + 1 - 1)*(-3*j + 2*j - j) - 3*j**2 - 27 + 27 + (-j + 19 - 19)*(-1 + 2*j + 1). -9*j**2 Expand (6*d**4 + d**4 - 2*d**4)*(-4*d + 63*d - d). 290*d**5 Expand (-3*j + 4*j + 3*j)*(-1 + 3*j + 1) + (-1 + 1 + 2*j**2)*(-6 + 4 + 0) + 4*j**2 - j**2 - j**2 - 1 + 1 + j**2 - 2*j**2 - 2*j**2 + j**2 + j**2 - 4*j**2 + j**2. 6*j**2 Expand (0*u - u - u)*(-390*u - 529*u**3 + 390*u). 1058*u**4 Expand (-1 + 2 + 1 + (-1 - 4 - 2)*(2 + 0 - 4) + (-2 + 1 + 3)*(-4 + 3 + 3))*(4*f**3 - 2*f**3 - 4*f**3). -40*f**3 Expand (l**2 - 2*l**2 + 2*l**2)*(0*l + 0*l - l**2 + (-3 + 2 + 0)*(-2*l + 2*l**2 + 2*l) + 5*l + 14684 - 14684 - 3*l**2). -6*l**4 + 5*l**3 Expand (l + l - 3*l)*(2*l**2 + 2*l**2 - 3*l**2) + l**3 + 4*l**3 - 3*l**3 + (2*l - 4*l + 12*l)*(-2*l**2 - 3*l**2 + 0*l**2). -49*l**3 Expand 0 + 0 + r**2 + (1 + 2*r - 1)*(-r + r - r) - 4*r**2 + 2 - 2 - 4*r**2 + 3*r**2 - 5*r**2 + (r**2 + 0*r + 0*r)*(-3 + 4 - 4). -14*r**2 Expand -3*z - 7*z + 3*z + (-2 + 3*z + 2)*(2 + 0 - 5). -16*z Expand (4*i - 2*i + i)*((1 - 3 + 1)*(-2 + 4 + 0) - 3 + 0 + 2 + 2 + 0 - 1 + 7 + 1 - 5). 3*i Expand (-g - 17*g**2 - 13*g**5 + 7*g**2 + 4*g**2)*(-1 + 2 + 0). -13*g**5 - 6*g**2 - g Expand (-5*b**2 + 4*b**2 - b**2)*(4 - 1 - 4)*(-1553 + b + 1553 - 362*b**2). -724*b**4 + 2*b**3 Expand (-5 + 5 - t)*(4 - 14 + 30)*(-t**2 - 2 + 2)*(-2 - 3*t + 2). -60*t**4 Expand (-2*z - z + z + (-2*z - z + 5*z)*(5 - 3 + 0) + 4*z + 2*z - 3*z - 5*z - 5*z + 0*z + (-3 + 2 + 2)*(1 - 2*z - 1))*(4 + 5*z - 4). -35*z**2 Expand (-2*j**2 - 3*j**2 + 6*j**2)*(-36 + 193*j + 189*j - 384*j). -2*j**3 - 36*j**2 Expand (-3*c - 2*c - 2*c)*(1482 - 1482 - 52*c). 364*c**2 Expand -9498*a**2 + 9497*a**2 - 2 + 1 + (3*a - a**2 + 1 - 1)*(3 + 0 - 5). a**2 - 6*a - 1 Expand (p**2 + 3*p**2 - 6*p**2)*(-1 + 1 + p)*(0*p + 7*p + 32*p). -78*p**4 Expand (s**2 - 2*s**2 - 4*s**2)*(-2*s - s + 6*s)*(-22 + 5*s + 22). -75*s**4 Expand -3*k**3 - 2*k**3 + 4*k**3 + (-172*k + 83*k + 62*k)*(2*k**2 + k**2 - k**2). -55*k**3 Expand (1 + 3 - 2)*(-3*k - k + 2*k) + 0*k + k - 2*k + 117*k - 271*k + 120*k + 3. -39*k + 3 Expand (-2 + 2 - 2*k)*(-77*k - 17*k - 23*k). 234*k**2 Expand z**2 + 46*z**2 - 3*z**2 + (2*z + 0*z + 0*z)*(z - 1 + 1) - z**2 - 5*z**2 + 5*z**2. 45*z**2 Expand -3*u**2 + u**2 + u**2 + (-u - 8*u - 4*u)*(-5*u + u + 3*u) + (-2*u - u + 4*u)*(0*u + u + u) + u**2 + 0*u**2 + u**2. 16*u**2 Expand -2*o**2 + 4*o**2 + 2*o + 0*o + (0 - 2*o + 0)*(4 - 5 + 2)*(10*o - 38*o - 37*o). 132*o**2 + 2*o Expand (g + 4*g - 2*g)*(-4 + 4 - 3)*(-8*g**2 - 9*g**2 - 7*g**2). 216*g**3 Expand 303 + 10*j**2 + 4*j - 303 + 3*j - j**2 - 3*j + j**2 - j + j + (5*j - 3*j - 4*j)*(-2*j + 0 + 0). 14*j**2 + 4*j Expand (0 - 1 - 3)*((-2*z + 2*z + z)*(2 + 2 - 2) + z + 0*z + 0*z + (-3 + 3 + 4*z)*(1 - 3 + 5)). -60*z Expand 6*a**3 - 2*a**3 + 0*a**3 + (-5 + 4 + 2)*(a**3 + a**3 - 3*a**3) - 43*a**3 - 2*a**3 + 7*a**3. -35*a**3 Expand ((-k**3 + k - k)*(-3 + 1 - 6) - 2*k**2 + k**3 + 2*k**2)*(-7*k + 6*k - 10*k). -99*k**4 Expand (-h - 2*h**2 + h)*(-h + 0*h - h) - 2*h**3 + 7 - h**3 + 19. h**3 + 26 Expand (0 + 0 + 2*l)*(2*l - 514*l**3 + 259*l**3 - 2*l**2 - 1 + 258*l**3). 6*l**4 - 4*l**3 + 4*l**2 - 2*l Expand (22 + 2 + 29)*(0*q**2 + 0*q**2 - 3*q**2). -159*q**2 Expand (-1 + 0 + 3 + 0 + 3 - 16 + (1 + 1 - 1)*(0 + 1 + 1))*(1 - m**3 + 0*m**3 - m**3 + (m**3 - m**3 - m**3)*(2 + 0 - 3)). 9*m**3 - 9 Expand (0*d**3 + 3*d**3 - 4*d**3)*(-2 + 4 - 3) + (-8 + 4*d - d + 5)*(-1 + 0 - 1)*(-4*d**2 - d**2 - 2*d**2). 43*d**3 - 42*d**2 Expand (18*m**2 - 123*m**2 - 176*m**2)*(-4*m**3 - 2*m**2 + 2*m**3 + 0*m**3). 562*m**5 + 562*m**4 Expand (1013 + 524 - 220)*(0*v**2 + v**2 - 2*v**2). -1317*v**2 Expand (-57 - 53 + 81)*(0*y + 0*y + y**4 + 0*y**4 + 5*y**4 - 4*y**4 + (-2*y**3 - 2*y**3 + 2*y**3)*(-6*y + 5*y + 0*y) + 4*y**4 - 3*y**4 + 2*y**4). -203*y**4 Expand (-2*b + 5 - 5)*(77 + 44 - 70 + 153). -408*b Expand ((-2 - 2 + 3)*(-3 + 4 + 1) - 4 + 17 - 1)*(4*d**3 - 4 + 4). 40*d**3 Expand (-126*j**2 - 11*j**3 + 126*j**2)*(-5*j + 3*j + j) + (13*j**4 - 3*j**4 + 4*j**4)*(-4 + 0 - 1). -59*j**4 Expand (4*z - 5*z + 12*z)*(-1 + 2 - 3)*(2 + 4 - 7). 22*z Expand 33*p**3 - 31*p**4 - 33*p**3 + (-5*p**3 - 4*p**2 + 4*p**2)*(0 - 2*p + 0). -21*p**4 Expand (-g + 2*g + g)*(43*g**2 - 6893*g + 6893*g + 1). 86*g**3 + 2*g Expand 1694*t**2 + 13*t - 1694*t**2 - 30*t**3 + (-3*t + 3*t - 2*t)*(-3*t**2 + 2*t**2 + 3*t**2). -34*t**3 + 13*t Expand (p - 5*p**3 + 3*p**3 + 3*p**3 - 3*p**4)*(-5 + 5 - 2)*(223 + 255 + 363). 5046*p**4 - 1682*p**3 - 1682*p Expand 3*l - 20*l + l + (4*l - 3*l - 3*l)*(-1 + 0 - 2) - 2 + l + 2. -9*l Expand (-w - 4*w - 6*w)*(0 - 1 + 4)*(-5*w + 4*w + 2*w). -33*w**2 Expand (-10*x + 8*x - 7*x)*(2*x + 8*x - x) - 2*x**2 + 0*x + 0*x + (-2*x - 3*x + 4*x)*(1 + 2*x - 1) + 3*x**2 + 0*x**2 - 5*x**2. -87*x**2 Expand (4 + 2 - 4)*(7 + 0 + 3)*(2*n + 0 + 0)*(5 - 5 + 5). 200*n Expand (8*c - 4*c - 17*c)*(1 - 2 - 1)*(0 + 1 - 3)*(2*c - 2*c + 6*c). -312*c**2 Expand (4 + 3 - 3 + (3 - 1 - 4)*(4 + 1 - 4) - 3 + 9 - 18)*(2*t + 0*t - 3*t). 10*t Expand (-5*d + 2*d + 0*d)*(-6*d - d - 10*d) + 2*d**2 + 4*d - 2*d - 4*d**2. 49*d**2 + 2*d Expand (0 - 1 + 0)*(675 - 337 + 12*p - 340). -12*p + 2 Expand (-2*c**2 + c**2 + 2*c**2)*(2*c**2 + 3*c**2 - 4*c**2) - 22451 - 14*c**4 + 22451 + 2*c**3 - 16*c**2. -13*c**4 + 2*c**3 - 16*c**2 Expand (3 - 6 + 5)*(2076 + 2277 - 4737)*(-2*j**3 - 2*j + 2*j). 1536*j**3 Expand (2 + 1 - 9)*(j - 3 - 7*j - 2*j). 48*j + 18 Expand (29*v**2 - 29*v**2 + 5*v**4)*(2*v - 1 + 1) - 4*v**4 + 4*v**4 - 2*v**5 + (3*v**2 + v**3 - 3*v**2)*(0 - 3*v**2 + 0). 5*v**5 Expand (85*p**5 - 164*p**5 - 138*p**5)*(-1 + 1 + 2 + (2 + 7 - 4)*(2 + 1 - 4)). 651*p**5 Expand (-8 - 1 + 4)*(-50*l - 289 + 289 - 2*l + 2*l - 2*l + (4 - 5 + 2)*(0*l - l + 0*l)). 265*l Expand (5 + 2 - 5 - 290*i**2)*(0*i**3 - 3*i**3 + 0*i**3 + (2*i - 4*i + i)*(i**2 + 0*i**2 - 3*i**2)). 290*i**5 - 2*i**3 Expand (-y**5 + 5*y**5 - 5*y**5)*(1 + 1 - 4) + (-4*y + 0*y - y)*(-2*y**4 + 2*y**4 - y**4) + 11*y**2 - 11*y**2 - 5*y**5. 2*y**5 Expand (29 + 20 - 26)*(-2*i**2 + i**2 + 0*i**2 - i**2 + 0*i**2 + 2*i**2 + 4*i + 4*i**2 - 4*i - i**2 + 0*i**2 + 0*i**2 + (0 - i + 0)*(0*i + 0*i + i)). 46*i**2 Expand (0*g**2 - 6*g**2 + 4*g**2)*(3*g**3 + 0*g**3 - 2*g**3 - 3*g**3 + 0*g**3 + 2*g**3 + (0*g**2 - 2*g**2 + 4*g**2)*(2*g - 3 + 3)) + g**5 + 3*g**5 - 5*g**5. -9*g**5 Expand 6*u**2 - 3*u + 3*u + (4*u**2 + 0*u**2 - 3*u**2)*(2 - 4 + 0) - 2*u + u**2 + 2*u + (3 - 5 + 0)*(u**2 - u**2 - u**2). 7*u**2 Expand 248*q**3 + 3*q**5 - 248*q**3 + (-363*q + 363*q - 5*q**4)*(1 - 1 + 2*q + (-2 - 1 + 5)*(q + 0*q + q) + 6*q - 2*q - 2*q). -37*q**5 Expand (1553*i - 3114*i + 1586*i)*(0*i**3 - 2*i**3 + 3*i**3). 25*i**4 Expand (3 - 1 + 3 - 4 + 4 - 2 + (6 - 2 - 2)*(-5 - 1 + 4))*((2 - p - 2)*(-3*p + 14*p - 7*p) - 3*p - 3*p**2 + 3*p). 7*p**2 Expand 0*g + 3*g**3 + 0*g + (1 - g - 1)*(-g**2 - g + g) + 6*g**3 - 5*g**3 - 5*g**3 - g**3 + 4*g - 2*g + 2*g**3. g**3 + 2*g Expand 17 - 10*o**2 - 17 - o**2 - 1 + 1 + (2*o**2 + 0*o**2 - o**2)*(-2 + 5 - 1) + (-1 + 1 + 2*o)*(1 - 1 - o). -11*o**2 Expand (-r**2 + 21*r**2 - r**2)*(-3*r + 0 + 0 + (0 - 2 + 1)*(r - r - 2*r) - 2*r + 5*r - r). 19*r**3 Expand (m**2 - m**2 - 2*m**2)*(-m**3 - 2*m + 2*m) + 35*m**5 + 137*m**2 - 137*m**2. 37*m**5 Expand (-5200 + 5200 - 99*o)*(4*o - 2*o - 3*o). 99*o**2 Expand (4 - 3 - 3)*(0 + 0 + 2*s) - 1 - s + 1 + 0*s + 4*s + 4*s - s + 5*s - 3*s. 4*s Expand -206 - 7*v**4 - 23*v + 206 + (0*v**4 + 3*v**4 - 2*v**4)*(0 - 1 - 1). -9*v**4 - 23*v Expand -7*h**4 + 4*h**4 + 0*h**4 + 3*h**4 - 4*h**4 + 3*h**4 + 0*h**2 + 0*h**2 + h**4 + (-2*h + h + 0*h)*(0*h**3 - 2*h**3 + h**3) + 26*h**4 + 36*h**4 + 31*h**4. 94*h**4 Expand (0 - 5*j**2 + 0)*(4*j + j - 3*j**3 + j**3) + j**5 - 2*j**5 - 2*j**5. 7*j**5 - 25*j**3 Expand 3 + 6*q - 10 - 7*q + (0 + q + 0)*(-3 - 3 + 5) + 2*q - q - 3*q + 7*q - 2*q - 3*q. -2*q - 7 Expand (-1 + 3 + 1)*((4 - 4 + 3)*(-4 + 1 + 0)*(3*z - z - 4*z) + (5*z - 4*z - 2*z)*(-1 - 2 + 1)). 60*z Expand (3*s - s + 0*s + (-1 + 1 + 2)*(6*s - 2*s - 2*s))*(4*s**3 + 4 - 4) + 2*s**4 - s**4 - 3*s**4 + 16*s**4 + 17*s**4 - 24*s**4. 31*s**4 Expand j**4 + 2*j - 3*j**5 - 2*j + (9*j**4 + 32 - 32)*(-3*j - 4*j + 6*j). -12*j**5 + j**4 Expand -3*a**4 + 3*a**4 - a**4 + (-2*a**3 + 4*a**3 + 2*a**3)*(4*a + a - 2*a) + 21*a**3 + 6*a**4 - 21*a**3. 17*a**4 Expand (-14*q + 7*q - 16*q)*(-3*q + 3*q - 4*q**2). 92*q**3 Expand 2*h**2 - 2*h**2 - 5*h**5 + (0 + 0 +
{ "pile_set_name": "DM Mathematics" }
positive. q**(-2776/93) Simplify (((i*(i**3/i)/i)/(i/i**(-2/15))*(i**8*i)/(i/(i*i**4/i)))**(-2/45))**(2/7) assuming i is positive. i**(-772/4725) Simplify (f/(f**(2/13)*f)*f*f**(-1/3)*f)**(11/2)*(f**2/f*f)/(f/(f/f**(-3/5)))*f**7*f/((f*f*f**(-4))/f) assuming f is positive. f**(8549/390) Simplify ((p/(p*p*p**(-2/7)))/(p/p**(2/9))*p**8/p*p**(-5/2))/((((p**0/p)/p)/p*p)**(-1/11)/(p**(-2/7)/(p*p*p**(-3/5)))) assuming p is positive. p**(1129/990) Simplify w**(-7/3)*w**(-2/7)*w**(-1/11)*w*w**(-2/7)/w*(w*w**6*w*w*w**1)/(w**(-4)/(w/(w*w/(((w**(-7)/w*w)/w)/w*w)*w))) assuming w is positive. w**(232/231) Simplify ((i/(i/(i**(2/9)/i*i*i*i)))**(-29)*(i/i**(2/3))**(-37))/((i*i**(-2/17)*i*i*i/i**6)/((i**0/i)/(i/(i**0/i)))) assuming i is positive. i**(-11882/153) Simplify (k**(-1)/(k/(k*k*k*(k/((k/k**13)/k*k))/k)*k))**(5/3)*(k**11/k**(-1))**(-42) assuming k is positive. k**(-484) Simplify (t/(t*(t/(t*t*t**(1/2)))/t)*t*t**(-5)/t)**(-3/7)*((t/(t/t**(-1)*t))/(t*t**(-6)))/((t*t*t/(t**(-3)*t)*t*t)/t**(-1/2)) assuming t is positive. t**(-24/7) Simplify (d**(1/3)/(((d*d/(d*d**(-3/2)*d))/d)/d*d))**(-8)/((d*d/(d**0*d))**(-9/10))**(23/3) assuming d is positive. d**(247/30) Simplify (((f/(f/((f**(-3)/f)/f*f)))**(-28)*f**7/(f/(f**(-1/13)*f*f)))**7)**(-5/8) assuming f is positive. f**(-54565/104) Simplify (((u**(-20))**(-49))**28)**(-8/9) assuming u is positive. u**(-219520/9) Simplify (b**29*b)/(b*b/b**(2/11))*((b**12*b)/b)/b**(-42/11) assuming b is positive. b**44 Simplify (((v*v*(((v/v**1)/v)/v)/v*v)**(-2/17)*v/(v*v**7*v)*v*v*v**(1/16))**(8/5))**(-14/5) assuming v is positive. v**(133/5) Simplify ((w*w**(1/7))/w*w*w*w/((w*w/((w/(w**5*w)*w)/w))/w))/(w/(w/(w*(w*w**0)/w)))**(-2/27)*((w/(w*w/w**(3/8)*w)*w)/w**(-2/7))**(16/5) assuming w is positive. w**(-3656/945) Simplify ((a**(-3)/a*a*a*a/a**0)/((a**(-3/5)*a)/(a**(-1/5)/a)))/(a**(1/4)/a**(-6))**(-4/11) assuming a is positive. a**(-18/55) Simplify ((q**(-16))**(3/20)*(q**9/q)/q*q**(-2/21))**17 assuming q is positive. q**(8041/105) Simplify ((n*n*n/n**(-1/4)*n)/(n/(n**2/n)))**7/(n**10*n**2)**(-4/11) assuming n is positive. n**(1501/44) Simplify ((((s**(-3/11)*s)/((s/(s*s*s**(1/10)*s))/s))/(s**(5/2)/(s*((s*s/s**(1/3)*s)/s)/s)))**(-1/64))**50 assuming s is positive. s**(-1235/528) Simplify (((o**(16/11)*o/(o*o**11/o*o))**(-27/4))**(-39))**40 assuming o is positive. o**(-1105650/11) Simplify ((u**(-2)*u)**(-23)*(u**(-2)/u*u)**5)**(1/28) assuming u is positive. u**(13/28) Simplify ((v*v**(-4)/v)**(-7)*(v*v/(((v/v**(-2/19))/v*v)/v))/v**(-7/4))**(-1/8) assuming v is positive. v**(-2405/608) Simplify (h*h*h/(h/(h**(-8)/h))*h*h)/(h/(h**(-2/5)/h))*(h**(2/7))**(-16)*(h**(1/5)/h**(-4))/(h**(-1)*h)**(-2/23) assuming h is positive. h**(-272/35) Simplify ((r**(-3/23))**(-10/11)/(r**16)**(-4/21))**(-2) assuming r is positive. r**(-33644/5313) Simplify (((z*z**(2/23)*z)/z*z**28)/(z**(-2/11)*z)**(-3/13))**(-29) assuming z is positive. z**(-2792352/3289) Simplify ((p*p**(-2/51)*p)/p)**(-6)*(p**(-2/11)*p)**(-49) assuming p is positive. p**(-8575/187) Simplify ((r**(-1/4))**(-35)/(r**(-2)*((r**(-3/2)*r)/r)/r))/((r*r**(-3/5))/((r/r**(1/2))/r)*r**(1/6)/(r**(-3)*r)) assuming r is positive. r**(611/60) Simplify ((((w**(3/2)/w)/w**1)**(-21))**36)**(1/4) assuming w is positive. w**(189/2) Simplify (o**(-1/3)/o)**(-25)*o**(-1/5)*o**(-8)*o*((o**(-6)/o)/((o**(-8)*o)/o*o))/(o/o**(-8)*o/o**6) assuming o is positive. o**(332/15) Simplify ((u*u**(2/3))/u*u)**(-2/29)/(u*((u/(u**7/u*u))/u)/u*u*u**(-2/9))*u**(-5/2)/(u/(u/u**(2/7))*u)*u**(-2/5)*u/u**6 assuming u is positive. u**(-56243/18270) Simplify ((q/(q/((q/q**(-1))/q)))**(-39)*q**(1/4)/(q*(q*q**(-4/7))/q*q*q))/(q**(-3/10)/q**(3/4))**49 assuming q is positive. q**(719/70) Simplify (y*y**7)/(y*(y*y*(y/y**(6/11))/y*y)/y)*y*y**(2/15)/y*y*y**(5/2)*((y**1)**28)**(4/21) assuming y is positive. y**(4789/330) Simplify ((z*z**(2/3))**(3/25)/((z*z**(1/4))/z*z/(z**(-5/4)/z)))/(z/z**(-3/7)*z*z**(-3))**(1/2) assuming z is positive. z**(-211/70) Simplify (j**0)**(2/15)/((j**(-2/9)/j)/(j*j/(j*j*(j*j**(-2/11))/j)))*j**(-5)*((j/j**(2/3))/j)/j*j**6/j**(-4/7) assuming j is positive. j**(907/693) Simplify f/(f*f*f*f/(f*f**(-25/3))*f)*(f/(f**(7/11)/f)*f)/f*(f**(1/8)/f)**(-4) assuming f is positive. f**(-427/66) Simplify (h*h/h**(-22)*h*h/(((h**(2/17)/h)/h*h)/h)*h*(h/(h**(-9)*h))/h*h**(-4/5))**(-44) assuming h is positive. h**(-134948/85) Simplify b**(-4/9)*b*b*b**0*(b**(-1))**(-17/4)*(b/(b**(-2)*b))**25/(b*b*b/b**(-1/2)*b*(b/b**(-1/2))/b) assuming b is positive. b**(1829/36) Simplify ((h**1/(h**(-16)*h*h))/(h**(-2/7)/h**(1/10)))**9 assuming h is positive. h**(9693/70) Simplify ((r*r/r**(2/7)*r*(r/r**(-2/27))/r)/(r**6/r)**(-2/43))**(-40) assuming r is positive. r**(-982040/8127) Simplify ((j*j/(j**6*j)*j*j**(-29))/((j/((j*j*j/(j*j**(20/7)))/j))/j)**36)**46 assuming j is positive. j**(-32154/7) Simplify (((w/w**(1/10))/w)/w*w**(-4/7))/(w*w**(-1/5)/w*w**(-9))*(w/(w*w*w*w**(-4/5)*w)*w*w**(1/9))/(w*w**(1/2)/w)**(-11/3) assuming w is positive. w**(2606/315) Simplify ((j/(j/j**(-2/3)))**(-46))**(2/11)/((j/j**(-6)*((j/(j/j**3))/j)/j)/(j**4*((j*j**(-1))/j)/j*j)) assuming j is positive. j**(19/33) Simplify ((t**(-5/6))**(-9/4)*(t*t*t*t**(-2/5))/t**(-1/16))**0 assuming t is positive. 1 Simplify (r**(-5)/(r/r**(-2/11)))/((r*r**(-7)*r)/r**(-3))*(((((((r**1/r)/r)/r)/r)/r)/r)/r)**19/((r**(1/5)/r)/r**(6/5)) assuming r is positive. r**(-1278/11) Simplify ((m/(m*m**42))/(m**(-1/21)/m))/((m/(m**47*m)*m*m)/((m*m**24)/m*m)) assuming m is positive. m**(610/21) Simplify (l**(-1/14)/l*l/(l*(l*l**(-7))/l)*l**16/((l**(-8)*l*l)/l*l))**(11/4) assuming l is positive. l**(4301/56) Simplify (((r/(r*(r*r**(-2/7))/r))/(r*r**(4/7)))/(r/r**(-1/3)*r*r/r**(-2/17)))**29 assuming r is positive. r**(-49039/357) Simplify (p**1*p*p/((p*p**(-11))/p)*p)**(1/11)/(p**(2/3)/p**0*(p*p**5)/(p*p**(2/3)*p)) assuming p is positive. p**(-29/11) Simplify (((v/(v/v**(1/6)))/(v*(v**(2/15)*v)/v))/(v**(1/4)*v)**(-13))/(v/(v**(-4)/v*v*v)*v*(v/v**(3/2)*v)/v*(v/v**0)**(-14)) assuming v is positive. v**(1487/60) Simplify (g**6*g**(5/3))/(g**(1/8)*g**(-1/3)*g)*g*g*g**(2/7)*g*g**(2/3)/g*g**(-3/2)*g**6 assuming g is positive. g**(2407/168) Simplify ((((t/(t/(t*t**(-2/25)/t*t))*t*t)/t)/t)/(t**5/t*t)*(t**(-3/5))**49)**(-7/2) assuming t is positive. t**(5859/50) Simplify (((i*i*i*i/(i**(-3)*i))/i)/i**(1/4))**(-12)/((i**(-2/3)*i)/i*i/(i/i**(-1)))**(-38) assuming i is positive. i**(-361/3) Simplify q/(((q**(-1/6)*q*q)/q)/q)*q/(q/(q/(q**0*q)))*q*q*q*q**(-1)/q*q**6*(q**(-1)/(q*q**(-5)))/(q**(1/2)*q*q*q)**(-19) assuming q is positive. q**(233/3) Simplify (t**1*t**(-2/3))/(t**(1/2)*t)**9*((t*t**(1/2)/t)/(t*t/(t/(t*t**2))*t))/((t*t**0/t*t)/t**(-7)) assuming t is positive. t**(-77/3) Simplify u**(-36)/(u/(u*u/u**2))*((u/u**3)/u)/u**(2/23) assuming u is positive. u**(-922/23) Simplify ((w**28/w*w**(-17/5))/(w**(21/4)*w)**(4/9))**(-1/7) assuming w is positive. w**(-937/315) Simplify ((d/(d*d**(-1/4)*d))**(-22)/((d*d**(-34))/(d**13*d)))**(1/3) assuming d is positive. d**(127/6) Simplify z**(1/5)/(z**(-6)*z)*(z*z/z**(-2/3))**(-37)*((((z**5*z)/z)/z)**(-1/4))**28 assuming z is positive. z**(-1822/15) Simplify ((i**(5/2)/(i/i**(2/7)))/(i**(-3)/i**(-6)))/((i**0)**(-6/5))**10 assuming i is positive. i**(-17/14) Simplify ((n/n**(2/25))/n)**43/(n**4)**(1/65) assuming n is positive. n**(-1138/325) Simplify (q*q**(-4)*q)**44/(q/(q**(5/6)*q))**(-2/7) assuming q is positive. q**(-1853/21) Simplify ((z/z**3)/z**0)/((z**(1/3)/z)/z**1)*(z**4*z*z**(-2/5))**(-18) assuming z is positive. z**(-1247/15) Simplify (x*x**(-3/7)/x*x*x**29*(x**16)**34)**3 assuming x is positive. x**(12045/7) Simplify ((l/l**(12/7))**(-40)/((l/(l/l**(-1/17)))/l**(-12)))**(-9/7) assuming l is positive. l**(-17811/833) Simplify z/(z**20*z)*(z/((z*(z/(z*z/z**(-2/119)*z))/z)/z*z*z))/z*z**(2/17)*z**(-48) assuming z is positive. z**(-7957/119) Simplify ((t*t*t/t**(1/5)*t*t*t)/t**6)/((t**(-3)/t)/t**(5/4))*(t**(-1/3))**46*(((t**(-1/3)*t)/t)/t*t*t)**25 assuming t is positive. t**(383/60) Simplify (r/(r*r*r**(-23/5)*r)*r**2*(r**(5/9))**3)**(2/39) assuming r is positive. r**(188/585) Simplify (b**4/(b/b**(1/4)))/(b**(-1))**(7/9)*(b*(b**(-1/18)*b)/b*b*b**(3/5)*b)**(6/11) assuming b is positive. b**(1073/180) Simplify (o*o**(4/5)/o*(o/(o*o*o/o**23))/o*o*
{ "pile_set_name": "DM Mathematics" }
t the prime factors of 265447. 7, 13, 2917 List the prime factors of 188509. 131, 1439 What are the prime factors of 203145? 3, 5, 29, 467 List the prime factors of 5198631. 3, 353, 4909 What are the prime factors of 3243432? 2, 3, 149, 907 What are the prime factors of 30543724? 2, 23, 331997 What are the prime factors of 951949? 17, 55997 What are the prime factors of 252920? 2, 5, 6323 List the prime factors of 298861. 298861 What are the prime factors of 13404755? 5, 7, 13, 17, 1733 List the prime factors of 491338. 2, 47, 5227 What are the prime factors of 33415? 5, 41, 163 List the prime factors of 2229146. 2, 1114573 List the prime factors of 216169. 113, 1913 List the prime factors of 322938. 2, 3, 7, 11, 233 List the prime factors of 15160582. 2, 2689, 2819 What are the prime factors of 1536819? 3, 229, 2237 What are the prime factors of 10810179? 3, 37, 3607 What are the prime factors of 110558? 2, 7, 53, 149 What are the prime factors of 2628610? 2, 5, 83, 3167 List the prime factors of 541476. 2, 3, 13, 89 List the prime factors of 1789940. 2, 5, 31, 2887 List the prime factors of 963210. 2, 3, 5, 97, 331 List the prime factors of 232528. 2, 14533 List the prime factors of 861392. 2, 7, 7691 What are the prime factors of 7284873? 3, 2428291 List the prime factors of 1034384. 2, 13, 4973 List the prime factors of 9264280. 2, 5, 231607 What are the prime factors of 340609? 47, 7247 What are the prime factors of 606816? 2, 3, 7, 43 List the prime factors of 353369. 31, 11399 What are the prime factors of 399942? 2, 3, 17, 1307 List the prime factors of 287747. 287747 List the prime factors of 312835. 5, 19, 37, 89 What are the prime factors of 14223993? 3, 7, 677333 What are the prime factors of 310414? 2, 13, 11939 List the prime factors of 560561. 560561 What are the prime factors of 768907? 79, 9733 List the prime factors of 499435. 5, 59, 1693 List the prime factors of 1859304. 2, 3, 77471 What are the prime factors of 140323? 23, 6101 What are the prime factors of 7363420? 2, 5, 368171 What are the prime factors of 308553? 3, 7, 2099 List the prime factors of 610076. 2, 152519 List the prime factors of 567593. 13, 43661 What are the prime factors of 716831? 281, 2551 What are the prime factors of 26485869? 3, 659, 13397 What are the prime factors of 1342068? 2, 3, 7, 13, 1229 List the prime factors of 13171902. 2, 3, 19, 227, 509 What are the prime factors of 665432? 2, 223, 373 What are the prime factors of 3651669? 3, 7, 139 List the prime factors of 1488192. 2, 3, 23, 337 List the prime factors of 1865715. 3, 5, 29, 4289 List the prime factors of 13007434. 2, 11, 631, 937 List the prime factors of 98319. 3, 13, 2521 What are the prime factors of 9446902? 2, 4723451 What are the prime factors of 595443? 3, 41, 47, 103 What are the prime factors of 141484? 2, 7, 31, 163 List the prime factors of 11147543. 11, 53, 19121 List the prime factors of 1175263. 71, 16553 What are the prime factors of 501506? 2, 250753 What are the prime factors of 4297075? 5, 29, 5927 List the prime factors of 1707852. 2, 3, 31, 4591 What are the prime factors of 4858925? 5, 263, 739 List the prime factors of 214778. 2, 17, 6317 What are the prime factors of 180429? 3, 137, 439 What are the prime factors of 2824694? 2, 1412347 List the prime factors of 18400041. 3, 11, 107, 193 List the prime factors of 10960286. 2, 5480143 List the prime factors of 13594360. 2, 5, 13, 2011 List the prime factors of 2794509. 3, 310501 What are the prime factors of 476392? 2, 7, 47, 181 What are the prime factors of 6053884? 2, 43, 61, 577 What are the prime factors of 15521906? 2, 113, 173, 397 List the prime factors of 136144. 2, 67, 127 List the prime factors of 12731211. 3, 1151, 1229 List the prime factors of 498031. 101, 4931 What are the prime factors of 769506? 2, 3, 277, 463 List the prime factors of 429. 3, 11, 13 List the prime factors of 7645. 5, 11, 139 What are the prime factors of 68830? 2, 5, 6883 What are the prime factors of 2381347? 2381347 List the prime factors of 1848468. 2, 3, 31, 4969 What are the prime factors of 382151? 7, 11, 709 What are the prime factors of 20755691? 11, 17, 6529 List the prime factors of 549328. 2, 13, 19, 139 What are the prime factors of 464694? 2, 3, 41, 1889 List the prime factors of 21104799. 3, 67, 104999 List the prime factors of 19056594. 2, 3, 3176099 List the prime factors of 398669. 398669 List the prime factors of 3041816. 2, 79, 4813 What are the prime factors of 380895? 3, 5, 67, 379 What are the prime factors of 591317? 591317 List the prime factors of 26023302. 2, 3, 139, 3467 What are the prime factors of 32479? 32479 List the prime factors of 831246. 2, 3, 13, 10657 List the prime factors of 26661453. 3, 7, 13, 61, 1601 List the prime factors of 91445. 5, 18289 List the prime factors of 11134370. 2, 5, 13, 41, 2089 List the prime factors of 1287731. 1287731 List the prime factors of 8746727. 11, 72287 List the prime factors of 8761270. 2, 5, 7, 47, 2663 What are the prime factors of 2043154? 2, 1021577 What are the prime factors of 203824? 2, 12739 What are the prime factors of 1844497? 1844497 List the prime factors of 680708. 2, 7, 23, 151 List the prime factors of 11610406. 2, 19, 89, 3433 What are the prime factors of 1298790? 2, 3, 5, 14431 What are the prime factors of 1574565? 3, 5, 104971 List the prime factors of 930046. 2, 13, 35771 List the prime factors of 466242. 2, 3, 7, 17, 653 List the prime factors of 5336. 2, 23, 29 What are the prime factors of 4204461? 3, 1401487 List the prime factors of 219062. 2, 17, 379 What are the prime factors of 27902? 2, 7, 1993 What are the prime factors of 2269243? 197, 11519 What are the prime factors of 802306? 2, 467, 859 What are the prime factors of 2693838? 2, 3, 7, 31, 2069 List the prime factors of 391745. 5, 47, 1667 What are the prime factors of 4306309? 7, 615187 What are the prime factors of 1982136? 2, 3, 13, 6353 What are the prime factors of 1156999? 47, 103, 239 What are the prime factors of 521043? 3, 29, 53, 113 List the prime factors of 2575403. 29, 88807 What are the prime factors of 2463841? 2463841 List the prime factors of 491027. 23, 37, 577 List the prime factors of 1148533. 41, 109, 257 List the prime factors of 194710. 2, 5, 19471 List the prime factors of 15965675. 5, 11, 58057 List the prime factors of 3234372. 2, 3, 409, 659 What are the prime factors of 3842168? 2, 11, 43661 List the prime factors of 4907085. 3, 5, 41, 79, 101 List the prime factors of 929162. 2, 13, 2749 List the prime factors of 308850. 2, 3, 5, 29, 71 List the prime factors of 94572. 2, 3, 37, 71 What are the prime factors of 2697169? 17, 158657 What are the prime factors of 112738? 2, 56369 What are the prime factors of 14998487? 7, 2142641 List the prime factors of 24824423. 13, 109, 17519 What are the prime factors of 6566? 2, 7, 67 List the prime factors of 11880753. 3, 3960251 What are the prime factors of 6459525? 3, 5, 19, 1511 List the prime factors of 1614. 2, 3, 269 List the prime factors of 1002437. 643, 1559 List the prime factors of 2383756. 2, 595939 List the prime factors of 280475. 5, 13, 863 What are the prime factors of 596474? 2, 298237 List the prime factors of 16438463. 31, 61, 8693 What are the prime factors of 271411? 7, 29, 191 List the prime factors of 412970. 2, 5, 61, 677 What are the prime factors of 222538? 2, 111269 What are the prime factors of 14443969? 14443969 List the prime factors of 100894. 2, 61, 827 What are the prime factors of 271204? 2, 67801 What are the prime factors of 106114? 2, 17, 3121 List the prime factors of 21139843. 4003, 5281 What are the prime factors of 18812549? 7, 47, 211, 271 List the prime factors of 10134333. 3, 11, 102367 What are the prime factors of 315654? 2, 3, 52609 List the prime factors of 6550494. 2, 3, 1091749 What are the prime factors of 5188809? 3, 431, 4013 List the prime factors of 1115883. 3, 37, 1117 List the prime factors of 264044. 2, 11, 17, 353 What are the prime factors of 3157594? 2, 11, 143527 List the prime factors of 305468. 2, 76367 What are the prime factors of 3928015? 5, 7, 13, 89, 97 List the prime factors of 1662738. 2, 3, 7, 11, 59, 61 List the prime factors of 1
{ "pile_set_name": "DM Mathematics" }
or a(z). -2*(z + 1)*(z + 8)*(z + 66)/7 Solve -11/2*z**2 - 1/2*z**5 - 29/2*z**3 + 11/2*z**4 + 0 + 15*z = 0 for z. -1, 0, 1, 5, 6 Let m(t) be the first derivative of 0*t - 1/40*t**6 - 2/9*t**3 - 1/6*t**4 + 24 - 2*t**2 + 5/36*t**5. Let z(i) be the second derivative of m(i). Factor z(a). -(a - 2)*(a - 1)*(9*a + 2)/3 Suppose 5*d + 165 = 5*s + 6*d, -4*d + 33 = s. Determine v so that 3*v**5 - 120*v**2 + 84*v**2 - s*v**4 + 6*v**4 + 60*v**3 = 0. 0, 1, 2, 6 Suppose -21*s + 17 = 40*x - 42*x, -5*x + 3*s + 7 = 0. Suppose 16/5*w**x - 12*w**4 + 0 + 48/5*w**3 + 0*w + 16/5*w**5 = 0. Calculate w. -1/4, 0, 2 Let b(o) = 14*o**2 - 233*o - 82. Let v be b(17). Determine a so that 0 + 1/5*a**v + 13/5*a - 14/5*a**2 = 0. 0, 1, 13 Let s be (-6)/24 + 55/(-4). Let t = s + 17. Determine b so that 2*b**3 - 2*b**3 - t*b**3 + 2*b + 2*b**3 + b**2 = 0. -1, 0, 2 Let h(t) = -2*t**2 + 14*t + 21. Let f(z) = -z**2 + 7*z + 12. Suppose -9*s + 14 + 31 = 0. Let u(c) = s*f(c) - 2*h(c). Let u(g) = 0. Calculate g. -2, 9 Determine u, given that -2*u**2 - 8*u**2 + 8*u**4 - 2*u - 2*u**4 + 14*u**3 - 12*u + 4*u**4 = 0. -7/5, -1, 0, 1 Factor 729/4 + 9/4*u**4 + 3/4*u**5 + 243/4*u - 81/2*u**2 - 27/2*u**3. 3*(u - 3)**2*(u + 3)**3/4 Let b(j) = 4*j**4 - 2*j**3 - 3*j**2 + 3*j - 3. Let o(g) = -8*g**4 + 2*g**3 + 5*g**2 - 5*g + 5. Let v(n) = -5*b(n) - 3*o(n). Suppose v(s) = 0. What is s? -1, 0 Let g be (-2 - -5) + (22 - 7). Let b = 23 - g. Let -24 - w**2 + 24 + b*w - 4*w**2 = 0. Calculate w. 0, 1 Let a be (-57)/15 + (324/(-9))/(-9). Let y be 1/(-1) - ((-108)/(-45))/(-2). Let -2/5*i**4 + a*i**3 + y*i**5 + 0*i**2 + 0 + 0*i = 0. What is i? 0, 1 Let n(t) be the first derivative of t**5/20 + 5*t**4/12 + 2*t**3/3 + 8*t - 39. Let a(d) be the first derivative of n(d). Factor a(f). f*(f + 1)*(f + 4) Let i = -925328 + 4626654/5. Determine c, given that i*c - 6/5*c**3 + 12/5 + 2/5*c**4 - 6/5*c**2 = 0. -1, 2, 3 Let v(l) be the third derivative of -l**6/24 - 9*l**5/4 - 215*l**4/12 + 440*l**3 + 185*l**2 + 9*l. Let v(k) = 0. What is k? -22, -8, 3 Suppose 85 = 5*x - 10*r, -41 = -48*x + 46*x + 5*r. Suppose -27/5*l**2 + x*l**3 + 9/5*l + 3/5 = 0. What is l? -1/5, 1 Let r(p) be the first derivative of -p**4/24 - p**3/2 + 3*p**2/4 + 27*p/2 - 9557. Factor r(x). -(x - 3)*(x + 3)*(x + 9)/6 Let g(y) be the first derivative of y**4/10 - 236*y**3/5 - 2151*y**2/5 - 1296*y + 5106. Find v such that g(v) = 0. -3, 360 Let g(c) be the first derivative of -1/6*c**4 - 86 + 0*c**2 + 0*c + 1/9*c**6 - 10/27*c**3 + 2/9*c**5. Solve g(m) = 0 for m. -5/3, -1, 0, 1 Suppose -5*j + 8*z + 26 = 11*z, -5*z = -5*j + 50. Suppose j*v**2 + 10*v - 4*v**2 + 12*v + 23*v + 42 = 0. Calculate v. -14, -1 Let -2560*o + 16384 + 68*o**2 - 1/2*o**3 = 0. Calculate o. 8, 64 Let f(w) be the third derivative of 49/36*w**3 + 0*w + 10*w**2 - 1/60*w**6 - 6 + 7/12*w**4 + 1/1260*w**7 + 11/180*w**5. Factor f(d). (d - 7)**2*(d + 1)**2/6 Let g = -38268/7 + 115490/21. Factor 56*o - 8*o**3 + g + 44/3*o**2 + 2/3*o**4. 2*(o - 7)**2*(o + 1)**2/3 Determine h so that -312*h - 1718*h**2 - 1342*h**3 - 28 + 638*h**2 - 684*h**4 + 406*h**3 - 472*h**3 - 72*h**5 = 0. -7, -1, -1/3, -1/6 Let b(x) = x**2 - 8*x. Let k(q) = 41*q**2 - 17*q**2 - 5*q**2 - 64*q - 11*q**2. Let a(r) = -51*b(r) + 6*k(r). Find s, given that a(s) = 0. 0, 8 Let y be 90/5 + (9 - 12). Let r(l) be the first derivative of -2/65*l**5 + y + 0*l - 3/26*l**4 + 3/13*l**2 + 2/39*l**3. Let r(t) = 0. What is t? -3, -1, 0, 1 Let l(i) = -i + 26. Let g be l(22). Find d such that 0*d + 3*d**g + 0*d + 4*d - 3*d**2 - d - 3*d**3 = 0. -1, 0, 1 Let y(o) be the first derivative of o**5 - 135*o**4/4 + 125*o**3 - 365*o**2/2 + 120*o - 1410. Factor y(i). 5*(i - 24)*(i - 1)**3 Let x(w) be the third derivative of -w**5/60 - 22*w**4/3 + 59*w**3/2 - 110*w**2 + 10*w. What is p in x(p) = 0? -177, 1 Let f(y) be the third derivative of 16335*y**5/26 + 330*y**4/13 + 16*y**3/39 + 12*y**2 - 11*y. Find s, given that f(s) = 0. -4/495 Let v(q) be the first derivative of 15*q**4/16 + 25*q**3/6 - 5*q**2 - 401. Factor v(l). 5*l*(l + 4)*(3*l - 2)/4 Let f(u) be the third derivative of 1/35*u**5 + u**2 + 32 + 0*u**3 + 1/280*u**6 - 1/490*u**7 - 1/14*u**4 + 0*u. Factor f(z). -3*z*(z - 2)*(z - 1)*(z + 2)/7 Solve -95*d**2 - 207*d - 137 + 112 + 87*d = 0. -1, -5/19 Suppose 89*k - 87*k + 96 = 0. Let g be (k/32)/((-3)/4). Find t such that 30*t**3 + 128/15*t + 8/15 + 38*t**g = 0. -1, -2/15 Let i(h) be the second derivative of h**7/13860 + h**6/360 + 3*h**5/110 + 7*h**4/6 + h**3/3 - 200*h. Let d(g) be the third derivative of i(g). Factor d(w). 2*(w + 2)*(w + 9)/11 Let i(p) be the third derivative of -2*p**7/105 - 77*p**6/30 - 74*p**5/15 + 76*p**4/3 - 3*p**2 + 2*p + 660. Factor i(o). -4*o*(o - 1)*(o + 2)*(o + 76) Suppose -15 = -4*a - a. Suppose -3*g + 18 = a*g. Factor -59*o - 3*o**2 + 56*o - 3*o**2 + 0*o**3 - 3*o**g. -3*o*(o + 1)**2 Let n(a) be the third derivative of a**6/420 + 109*a**5/210 - 130*a**4/3 + 3836*a**3/3 - 6*a**2 + 890*a. Factor n(s). 2*(s - 14)**2*(s + 137)/7 Let z(p) be the first derivative of p**5/20 - 17*p**4/16 + 17*p**3/4 + 157*p**2/8 + 22*p + 5860. Factor z(q). (q - 11)*(q - 8)*(q + 1)**2/4 Factor 588*h**3 + 597*h**3 - 2350*h**3 + 597*h**3 - 3*h**4 + 589*h**3. -3*h**3*(h - 7) Find y, given that -115200/7 - 964/7*y**3 - 117122/7*y**2 - 2/7*y**4 - 231360/7*y = 0. -240, -1 Let o = -3404/7 - -34047/70. Let n(v) be the first derivative of o*v**4 + 14 + 0*v**2 + 0*v + 2/15*v**3. Factor n(k). 2*k**2*(k + 1)/5 Let t be 90/(-35) + 2 - (-32)/7. Let d be -1 - (-10)/6*3. Factor -7 - 3*v**t - 16*v + v**d + 9 + 4 + 12*v**2. -2*(v - 1)**3*(v + 3) Let d be -4 + 8 - (-1 + 12). Let m be d + 9 + (4 - 0). What is k in m*k + 90*k**2 - 7 - 3 + 19*k = 0? -1/2, 2/9 Let u(s) be the third derivative of -s**2 - 23/270*s**5 + 0*s + 64/3*s**3 - 1/1080*s**6 - 20/9*s**4 + 27. Let u(p) = 0. Calculate p. -24, 2 Solve -27/2*x**4 - 3/2*x**5 - 99*x + 147/2*x**2 + 81/2*x**3 + 0 = 0 for x. -11, -2, 0, 1, 3 Let b be ((-4)/30)/(41 - 10400/250). Determine v so that -b*v**3 - 4 - 14/3*v - 16/9*v**2 = 0. -3, -2 Suppose -t + 58 = -5*l, -6*t + l + 338 = -t. Let u be 64/40 - 2 - t/(-20). Suppose 6/11*a**4 - 4/11 - 14/11*a + 14/11*a**u - 2/11*a**2 = 0. Calculate a. -2, -1, -1/3, 1 Let d = 9533/33096 - 11/4728. Suppose 0 - 12/7*i - d*i**3 + 2*i**2 = 0. What is i? 0, 1, 6 Suppose 53*i**3 + 8*i**4 - 53*i + 101*i**2 + 6 - 59 - 6*i**4 - 49 - i**4 = 0. What is i? -51, -2, -1, 1 Factor 4588/5*a + 2631218/5 + 2/5*a**2. 2*(a + 1147)**2/5 Let f(y) = y**2 - 2*y. Let k(q) = q**2 + 78*q - 160. Let m(b) = 16*b - 60. Let c be m(4). Let x(g) = c*f(g) + k(g). Factor x(r). 5*(r - 2)*(r + 16) Let y(z) be the first derivative of -z**5/50 + z**4/10 - z**3/10 - 1150. Let y(q) = 0. Calculate q. 0, 1, 3 Let t(n) be the first derivative of n**6/120 - 3*n**5/5 + 18*n**4 - 2*n**3/3 - 4*n - 6. Let m(x) be the third derivative of t(x). Factor m(r). 3*(r - 12)**2 Let l(p) be the second derivative of -p - 1/210*p**6 + 0*p**2 - 17 - 3/7*p**3 - 1/4*p**4 - 2/35*p**5. What is v in l(v) = 0? -3, -2, 0 Factor -11907/5*i**3 - 16821*i**2 - 84/5 - 5304/5*i. -3*(i + 7)*(63*i + 2)**2/5 Let b = 713179/54 - 13207. Let j(n) be the second derivative of 21*n + 0 - 1/135*n**6 + 2/9*n**2 - 1/30*n**5 + 1/9*n**3 - b*n**4. Let j(t) = 0. What is t? -2, -1, 1 Let x(j) be the second derivative of j**4/42 + 2144*j**3/21 + 2143*j**2/7 - 8890*j. Factor x(m). 2*(m + 1)*(m + 2143)/7 Factor 64*r - 2560 - 2/5*r**2. -2*(r - 80)**2/5 Suppose -63 = 11*h - 32*h. Let s(l) be the first derivative of -3 + 1/6*l**h + l + 3/4*l**2. Find m, given that s(m) = 0. -2, -1 Let i be (2 + (-22)/14)/((-10916)/(-38206)). What is p in 0 + 21/2*p**4 - 21/2*p**2 + 27/2*p**3 + i*p**5 - 15*p = 0? -5, -2, -1, 0, 1 Suppose 3*m**5 + 0*m + 396*m**3 - 1107/2*m**2 + 0 - 159/2*m**4 = 0. Calculate m. 0, 3, 41/2 Let l(q) be the first derivative of q**6/30 + 3*q**5/25 - 3*q**4/20 - 7*q**3/15 + 3*q**2/5 - 1143. Find n, given that l(n) = 0. -3, -2, 0, 1 Suppose -16*d - 30 + 170 = 19*d. Let n(r) be the second derivative of 0*r**2 - 4*r + 1/9*r**d + 0 - 2/45*r**6 - 1/15*r**5 + 0*r**3 + 2/63*r**7. Factor n(q). 4*q**2*(q - 1)**2*(q + 1)/3 Let i = -189649 - -379307/2. Factor -i*q + 9/2*q**3 + 0 - 3/2*q**2 + 3/2*q**4. 3*q*(q - 1)*(q + 1)*(q + 3)/2 Let t(v) be the first derivative of -1/8*v**4 + 13*v +
{ "pile_set_name": "DM Mathematics" }
What is m(-12)? 2271 Let a(l) = -2*l**3 - 181*l**2 + 456*l - 824. Determine a(-93). 13 Let n(k) = k**3 + 22*k**2 + 91*k - 96. Determine n(-15). 114 Let d(h) = -2*h**2 - 490*h - 19802. What is d(-51)? -14 Let l(n) = 358*n - 3640. Determine l(10). -60 Let m(v) = -v**3 + 35*v**2 + 68*v - 444. What is m(-7)? 1138 Let m(f) = 2913*f - 725327. What is m(249)? 10 Let h(q) = -q**3 - 74*q**2 - 1446*q - 13906. Give h(-51). 17 Let q(p) = 229*p**2 - 12135*p - 156. Determine q(53). -50 Let l(j) = j**3 + 391*j**2 + 2431*j + 950515. Determine l(-391). -6 Let d(q) = -4*q**2 - 337*q - 5535. What is d(-58)? 555 Let z(t) = t**2 + 248300*t + 9682148. What is z(-39)? -31 Let t(p) = -p**2 - 186*p - 7119. Calculate t(-129). 234 Let g(s) = 22*s**2 - 980*s - 2290. What is g(48)? 1358 Let m(z) = -z**3 + 59*z**2 - 10*z + 575. Determine m(59). -15 Let m(f) = -7639*f - 68720. Give m(-9). 31 Let j(o) = -10651*o + 10663. Determine j(1). 12 Let y(a) = 4*a**3 - 37*a**2 - 1664*a + 15049. What is y(9)? -8 Let v(z) = -4*z**2 + 76*z + 3559. What is v(-21)? 199 Let i(o) = 4*o**2 - 193*o + 1631. Calculate i(37). -34 Let t(w) = 149*w - 4706. What is t(22)? -1428 Let x(r) = -12172*r - 12016. Give x(-1). 156 Let j(g) = -2*g**3 - 128*g**2 - 2030*g + 7. Calculate j(-36). 511 Let a(j) = -j**2 - 1481*j - 464624. Give a(-451). -94 Let o(q) = 2*q**3 + 10*q**2 - 17095*q - 442. Determine o(90). 8 Let s(g) = 20*g**2 - 4302*g + 221233. Give s(130). -27 Let u(a) = -5796*a - 42027. What is u(-7)? -1455 Let q(c) = 35*c**3 + 4707*c**2 - 34659*c - 9. What is q(7)? 26 Let u(g) = -4472*g - 63023. Calculate u(-14). -415 Let u(a) = -1123*a + 12216. Calculate u(11). -137 Let f(q) = 20*q**2 + 111*q + 689. Give f(-6). 743 Let a(h) = -30*h**2 + 1352*h - 2587. What is a(2)? -3 Let w(h) = -h**3 + 44*h**2 - 2051*h + 98531. Determine w(46). -47 Let k(q) = 55*q**2 + 1651*q + 505. Determine k(-26). -5241 Let l(g) = 370426*g - 1111211. Determine l(3). 67 Let g(k) = 174*k**2 - 1747*k - 2. What is g(10)? -72 Let y(t) = -3033*t + 806430. Give y(266). -348 Let t(l) = -99*l**3 - 2476*l**2 - 5*l + 547. Calculate t(-25). 47 Let d(x) = 5212*x + 10642. What is d(-2)? 218 Let d(y) = -y**2 - 827*y + 387771. Give d(334). -3 Let d(w) = -w**3 + 349*w**2 + 5457*w + 71. Give d(-15). 116 Let y(q) = q**2 + 16*q + 342. Give y(-47). 1799 Let g(z) = 25*z**2 - 103*z - 2295. What is g(-7)? -349 Let t(y) = -y**3 - 92*y**2 - 546*y - 9530. Calculate t(-87). 127 Let k(s) = -205*s**3 - 1637*s**2 + 22*s - 16. What is k(-8)? 0 Let n(k) = 12*k**3 - 152*k**2 - 219*k - 74. Determine n(14). -4 Let n(s) = -11269*s + 100798. Determine n(9). -623 Let k(f) = -f**2 + 74*f + 698. Determine k(0). 698 Let z(n) = 7*n**2 - 20813*n + 699541. Determine z(34). -9 Let t(h) = 476619*h - 17158290. Calculate t(36). -6 Let q(z) = z**2 - 16147*z + 403094. Give q(25). 44 Let u(o) = 2*o**3 - 807*o**2 + 2036*o - 12423. Calculate u(401). 8 Let r(u) = 10943*u + 350173. Give r(-32). -3 Let l(n) = -2386*n + 474817. Calculate l(199). 3 Let k(z) = -32461*z - 3278570. Give k(-101). -9 Let o(b) = -1124*b - 631. What is o(-1)? 493 Let z(y) = -2*y**2 - 8190*y - 814576. Give z(-102). -4 Let c(w) = -294*w**2 - 1180*w + 5. Determine c(-4). 21 Let v(g) = -1969*g**2 - 7822*g + 182. Calculate v(-4). -34 Let t(o) = -83826*o - 4442775. What is t(-53)? 3 Let g(o) = -754*o - 57276. Give g(-77). 782 Let y(a) = 4*a**2 + 6*a + 440. Determine y(0). 440 Let i(h) = -3*h**3 + 1372*h**2 + 13519*h + 11214. Determine i(467). 6 Let b(n) = -n**3 + 185*n**2 + 292*n + 15226. What is b(187)? -108 Let n(d) = 2057*d - 738634. What is n(359)? -171 Let c(a) = 2*a**2 + 682*a + 22427. What is c(-37)? -69 Let p(l) = l**2 - 28*l - 342. Give p(-11). 87 Let v(j) = 2721*j - 10972. Calculate v(4). -88 Let i(u) = 23671*u + 354668. What is i(-15)? -397 Let j(c) = 5*c**2 + 7531*c - 15064. Give j(2). 18 Let n(i) = i**3 + 84*i**2 - 418*i - 29767. Calculate n(-85). -1462 Let u(d) = -2*d**3 - 674*d**2 - 9039*d + 62. Calculate u(-14). -8 Let c(k) = 10*k**3 - 386*k**2 - 25113*k + 53. Calculate c(73). -20 Let b(z) = 3333*z - 586584. Determine b(176). 24 Let j(u) = -25866*u - 543168. What is j(-21)? 18 Let s(o) = -176425*o + 7233418. Calculate s(41). -7 Let t(h) = 85452*h - 341302. Give t(4). 506 Let i(h) = 90*h**2 - 9037*h - 5351. What is i(101)? 2 Let h(y) = -y**2 - 46127*y + 3141251. Give h(68). -9 Let t(q) = -379*q + 6539. Calculate t(19). -662 Let g(y) = -14995*y + 59982. Calculate g(4). 2 Let q(h) = -2405*h - 21709. Give q(-9). -64 Let o(k) = 7246*k - 152171. Calculate o(21). -5 Let c(x) = -8287*x - 654662. Calculate c(-79). 11 Let n(u) = 2*u**2 + 74479*u - 74481. Give n(1). 0 Let d(a) = 5*a**2 - 1180*a - 3589. Calculate d(-3). -4 Let b(t) = -38*t**3 + 383*t**2 - 66*t + 387. Give b(10). 27 Let k(p) = 115600*p + 578002. Give k(-5). 2 Let x(w) = 17*w**2 - 234*w - 859. Give x(-3). -4 Let w(k) = -145*k**2 - 1339*k + 44. Determine w(-8). 1476 Let z(q) = 2*q**3 + 19*q**2 + 343*q - 113. What is z(-10)? -3643 Let f(g) = -423*g**2 - 108287*g + 256. What is f(-256)? 0 Let k(h) = h**3 + h**2 + 7. Calculate k(-6). -173 Let t(w) = -118*w**2 + 54*w - 406. Determine t(5). -3086 Let j(w) = -3*w**2 - 917*w - 13669. What is j(-15)? -589 Let g(h) = -704843*h + 2114517. Give g(3). -12 Let g(h) = 2*h**3 + 44*h**2 + 64*h + 391. Calculate g(-21). -71 Let h(p) = p**2 - 786*p + 625. Determine h(0). 625 Let h(d) = -4*d**3 - 32*d**2 + 24*d - 122. Give h(-8). -314 Let r(k) = -47*k**3 - 20448*k**2 - 1311*k - 2545. Calculate r(-435). 65 Let a(y) = y**3 + 166*y**2 + 4999*y + 5833. Calculate a(-127). -9 Let z(u) = u**3 + 55*u**2 - 256*u + 37. Calculate z(4). -43 Let t(p) = 3*p**2 - 219*p + 3559. Calculate t(64). 1831 Let b(h) = -2*h**3 - 289*h**2 + 93*h - 7584. Give b(-145). -44 Let n(z) = -2*z**2 + 112855*z + 1241654. Give n(-11). 7 Let m(t) = -1170*t + 507778. Calculate m(434). -2 Let j(d) = -161*d - 322. Give j(-6). 644 Let b(v) = 247815*v - 17099227. Determine b(69). 8 Let k(t) = 559*t + 64846. Calculate k(-116). 2 Let w(j) = -6*j**2 - 317*j - 4735. Determine w(-22). -665 Let p(u) = -54*u**2 - 13174*u + 496. What is p(-244)? 8 Let c(y) = 9522*y - 142853. Give c(15). -23 Let j(n) = 6923*n - 1052298. What is j(152)? -2 Let t(m) = 11*m**2 - 1455*m + 5644. Give t(4). 0 Let w(x) = -104*x + 11981. Give w(116). -83 Let o(b) = -2*b**2 - 385*b + 485. Determine o(0). 485 Let p(f) = -9*f**2 - 410*f + 2254. Give p(5). -21 Let n(j) = 89*j - 449. Give n(-10). -1339 Let t(k) = 2*k**2 + 21*k - 55. Determine t(3). 26 Let g(x) = 4*x**2 + 132*x + 1071. Determine g(-17). -17 Let d(r) = 22*r**2 - 87*r + 172. Determine d(2). 86 Let q(i) = 71623*i + 358027. What is q(-5)? -88 Let g(i) = 280*i**2 + 48720*i + 15. Give g(-174). 15 Let y(g) = -7*g**2 - 155*g + 306. What is y(-23)? 168 Let v(k) = -142*k**2 - 2705*k + 115. Calculate v(-19). 248 Let x(m) = 581*m - 102292. What is x(176)? -36 Let z(g) = 5740*g**2 + 63140*g + 5. Give z(-11). 5 Let p(s) = 5*s**2 + 226*s - 1242. Determine p(-47). -819 Let h(d) = -7*d**2 + 9*d + 105. Determine h(13). -961 Let m(b) = 14*b**2 - 8467*b + 15036. Give m(603). -39 Let t(o) = 2*o**2 - 281*o + 1144. Calculate t(136). -80 Let q(a) = 763*a**3 + 3*a**2 - 56*a - 59. Determine q(-1). -763 Let w(k) = 3*k**3 + 2099*k**2 - 12707*k + 25. Give w(6). -5 Let l(d) = 2*d**3 - 73*d**2 - 4*d - 27. Determine l(0). -27 Let v(a) = a**2 - 74*a + 1320. Give v(36). -48 Let q(k) = k**3 + 16*k**2 + 2459*k + 39298. What is q(-16)? -46 Let s(l) = 1034*l - 1642. Calculate s(5). 3528 Let m(y) = -20058*y + 842429. Give m(42). -7 Let u(j) = -353*j**2 + 97*j + 94. What is u(-1)? -356 Let m(g) = 478*g - 182721. Calculate m(382). -125 Let j(i) = i**3 + 137*i**2 - 17400*i + 3139. What is j(80)? -61 Let w(h) = -h**3 - 55*h**2 - 150*h + 133. What is w(-52)? -179 Let i(o) = -2*o**3 + 9*o**2 + 49*o + 342. Calculate i(9). 54 Let w(z) = -z**3 + 96*z**2 - 482*z + 2451. Give w(91). -6 Let s(r) = -1940*r - 19991. Calculate s(-10). -591 Let n(w) = -w**2 - 15570*w - 605795. Determine n(-39). -86 Let b(p) = 20*p**3 + 2*p**2 - 43*p - 111. What is b(-2)? -177 Let d(r) = -108835*r + 2176700. Calculate d(20). 0 Let f(v) = 47*v**3 + 2*v**2 + 307*v + 614. What is f(-2)? -368 Let d(z) = -3*z**3 - 163*z**2 - 212*z + 158. Calculate d(-53). 158 Let b(g) = 40856*g + 40844. Give b(-1). -12 L
{ "pile_set_name": "DM Mathematics" }
477 = 96*a - 95*a, 4*a = -f + 41 for a. 2 Solve -5*a - 187*r + 191*r = 23, -68 = 11*a - 3*r for a. -7 Solve 87*g = 5*h - 21 + 306, 3*h = -2*g + 2*h + 40 for g. 5 Solve 3 = 5*n + 48, -11*o - 23 = 88*n - 87*n - 3 for o. -1 Solve 348*v - 4*o - 520 = 434*v, -2*v + 1027*o = 1022*o + 7 for v. -6 Solve 25*o + 45 = 22*o + 10*q, -9*q + 10*q = -5*o - 36 + 14 for o. -5 Solve 0 = 18*g - 15*g - 17*d + 24 - 6 - 111, -3*g = -5*d - 57 for g. 14 Solve -3*c + 2*d = 14, -39*d + 44*d - 9 = c for c. -4 Solve 8*i - 746 = -2*k, -147*i = 146*i - 291*i + 9*k - 229 for i. 92 Solve -16*m - 99 = f - 20*m - 20, 2*m = -3*f + 29 for f. -3 Solve 481*p = 5*c + 431*p - 2235, -3*p = 2*c + 141 for c. -3 Solve 4*x - x - 4 + 11 = -2, 2*u + 6*x = -28 for u. -5 Solve -20 = 5*f - 1658*o + 1653*o, 7*f = -5*o + 44 for f. 2 Solve -3*x + 3*z - 131 + 18 = -7*z, -x + 3*z = -5*x + 29 for x. -1 Solve -5*c - 98 = -3*g, 3*g + 1273*c - 1457*c = -260 for g. 36 Solve 7*q = 4*q + k + 858 - 843, -13*k + 5 = q for q. 5 Solve 2*c - 67448 + 67473 = -9*w, 3*c - 36 = 11*w for w. -3 Solve 4*q + 2*h + 904 = 794, 0 = 184*q - h - 4*h + 4575 for q. -25 Solve -783*u = p - 811*u + 41, -p - 5*u - 8 = 0 for p. -13 Solve 8*p + 2*z + 181 = 59, -344*z + 351*z = -5*p - 105 for p. -14 Solve 4*g - 7*g = -3*o + 5*o + 2 - 2, -6*g + 12 = 2*o for g. 4 Solve -5*r = -115, -2145*r + 93 = 11*u - 2140*r for u. -2 Solve 4*k = j + 14, -4*j = 23*k - 13891 + 13869 for k. 2 Solve 0 = -3*a - a - 3*r - 4, -5*r = a - 5411 + 5429 for a. 2 Solve -j + 81*s = 668 - 13, -84*j + 10 = -82*j + 3*s - 0 for j. -7 Solve f + 3*h = 18, -23*h + 29*h = -3*f - f + 90 for f. 27 Solve 3*x + 19 - 42 = 3*v - 29, 4*v + 2*x + 22 = 0 for v. -3 Solve -27*d + 5*u = 5308 - 5178, 2*d - 9*u + 1 = 0 for d. -5 Solve 10*w = 2*m - 380, -31 = w + 10 - 3 for m. 0 Solve -9*v + 9401 - 4702 = 5*a + 4703, 4*a = -3*v + 1 for v. -1 Solve 0 = 3*s + 5*j + 34, -3*s + 45*j + 26764 = 26698 for s. -8 Solve -29*y + 24*y + 231 + 99 = -5*n, -2*n = -y + 127 for n. -61 Solve 23611*d = 23607*d - 120, -4*z + 5*d + 134 = 0 for z. -4 Solve 90*z - 91*z - 131*u = 397, -4*u - 4 = -2*z for z. -4 Solve -116*y + 120*y = 40, 0 = 100*q + 5*y + 50 for q. -1 Solve 5*o - 265 = -5*q, -145*o + 5965 = -26*o + 4*q + q for o. 50 Solve -47*t = -t + 62*t - 5*i - i + 654, 2*t + 4*i - 66 = 0 for t. -5 Solve -24*b + 5 = -3*g - 21*b - 7, 226 = 29*g + 72*g - 11*b for g. 3 Solve 0 = -4*f - 20, -3*s + 4320*f = 4318*f + 14 for s. -8 Solve 15*q = -p + 123, -3*p + 6 = -15*q + 12*q + 25 - 4 for q. 8 Solve -4*f - 68*d + 132 = 0, 4*f - 9 = -4*d + 59 for f. 16 Solve 0 = c + 2*f - 29, 4*c + 4*f - 511 + 447 = 0 for c. 3 Solve 0 = 4*s - 2*l + 104, 7*s = -56642*l + 56646*l - 181 for s. -27 Solve 0 = g - 3, 4*m - 9 - 32 = -5*g + 6 for m. 8 Solve -b = 5*m - 12, 13*m - 5*b + 21 = 16*m - 6*b - 3*b for m. 3 Solve 7*h = -5*p + 97, 6*h - 19*h = -8*h + 3*p - 67 for h. 11 Solve -5*a + 5*x = 13 + 23 + 24, -3*a + 2*x - 21 = 0 for a. 3 Solve -58*m + 11 = -4*c + 6*c - 57*m, -3*m + 40 = -c for c. -1 Solve 5*u = -3*y - 16, -20384*u - 6*y - 45 = -20387*u for u. 1 Solve 3249*r = -4*c + 3245*r + 20, 0 = 7*c + 10*r - 26 for c. 8 Solve -75 - 60 + 46 = 5*b + k, -32*b + 94 = -2*k for b. -2 Solve -3*g - 39 = 3*u, -59*g - 11 = -118*g + 64*g - u for g. -4 Solve -53*m - 3*w = -41 - 18, 5*m + w - 18 + 11 = 0 for m. 1 Solve 206*p - 201*p = -3*o - 64, -5*p - 2*o = -0*p + 51 for p. -5 Solve -k + 9*p = 24*p - 82, -k + 49 = 3*p - p + 2*p for k. 37 Solve -4*o - 7*d = d + 36, 3*d + 24 = 6*o - 11*o for o. -3 Solve 0 = 2*h - 2*g + 10, 158851*g = 4*h + 158837*g + 100 for h. 3 Solve -6*a + 20*x - 398 = -954, 0 = -2*x - 58 for a. -4 Solve -2*q - 5*i + 85 = -7*q, 98 + 32 = -11*q - 8*i for q. -14 Solve -5*n - 6 = -2*p, -3*p + 9 = -14377*n + 14370*n for n. 0 Solve -131*k + c = 133*k - 267*k - 140, -2*c = 22*k + 1000 for k. -45 Solve -11*v + 2*g - 12 = -13*v, 8*g - 5*g - 34 = -7*v for v. 4 Solve -2*p - 217273*u + 3 = -217276*u, 2*p + 4*u = 38 for p. 9 Solve c + 5*j - 176680 + 176691 = 0, 44 = -4*c + 5*j for c. -11 Solve p + a - 3 = 0, -2259*p + 3*a = -1130*p - 1130*p + 11 for p. -1 Solve 12*y - 8*y - 5*b = 98 - 10, -5*b = -19*y + 118 for y. 2 Solve 2*h + 17*u + 16 = 0, 3*h - 75352*u + 75351*u - 29 = 0 for h. 9 Solve -4*j + 6 - 9 = 9, -j + 2*j - 557 = -112*m for m. 5 Solve 12 = 6*o + 3*v, -3*o - 6*v + 5*v + 16 - 7 = 0 for o. 5 Solve 660257*z - 7 = j + 660264*z, 4*j + 5*z = -5 for j. 0 Solve 1478160*u - 1478155*u = 2*c + 3, -c = 13*u - 8 + 25 for u. -1 Solve 4*w - 1507*o + 1511*o = 28, -w + 1 = -18*o + 51 for w. 4 Solve -5*t = 4*s - 5917 + 5947, 3*s + 2*t = -19 for s. -5 Solve -7*t + 384*o = 383*o + 28, 6*o = 5*t + 20 for t. -4 Solve 8051*x - 8067*x + 4*s + 64 = 0, -5*x = 3*s - 3 for x. 3 Solve -11 = b, -841033*b - 23 = 3*f - 841032*b for f. -4 Solve 4*t = j + 14, 0 = -4*j + 377 - 353 for t. 5 Solve 58591016*j = -3*n + 58591020*j + 41, -36*j = -4*n + 392 for n. -1 Solve 3*j - 3*c + 26 = 47, j = 3*c + 11 for j. 5 Solve k - 13*k + 24 - 27 = -9*k, -7*c - 26 = 2*c - k for c. -3 Solve -f + 3*a - 32210 = 4*a - 32201, 3*a + 25 = -4*f for f. 2 Solve -3*p + 29*c - 227 = 2*p + 32*c, -16*c = -5*p - 3*c + 1117 for p. 5 Solve 404070 - 404062 = -5*h + 2*o, 4*o = -4 for h. -2 Solve 2*l - 5*b + 68 = -2*l - 7, -243*b + 242*b = 6*l + 19 for l. -5 Solve -3*w - 22136*f - 110 = -22134*f, w + 63*f + 99 = 0 for w. -36 Solve -2*v + 40 = -4*j, -50*v - 5*j - 7*j - 78 = 51*v - 98*v + 96 for v. -6 Solve 34543*n + 74 = 34510*n - q, 46 = -3*n - 5*q for n. -2 Solve -26*c + 30*c = 7*o + 101 + 46, 31*o - 14*c + 171 = -10*c for o. -1 Solve 8*v + 8*t - 4*t = 5*v + 22, -5*v = t - 65 for v. 14 Solve -13*l + 35 = -1118*s + 1113*s, l + 25 = -4*s + 9*s for s. 6 Solve -j + 32*w + 31 = 31*w, -13*w + 87 = j for j. 35 Solve -3*d - 11*h + 2 = -7*d - 1 + 5, 4*h = 8 for d. 6 Solve -22*r - 25 - 37 = 4*o, 124602 = 4*o - 2*r + 124544 for o. 12 Solve -5*t - 4*j = 1, -10755*j + 10778*j - 23 = 0 for t. -1 Solve -10*m + 515 - 497 = 4*x - 12*m, -18 = -5*x - 2*m for x. 4 Solve z + 5*v + 7404 = 7449, 0 = -3*v + 30 for z. -5 Solve -3*u = 3*j - 57, -3*j + 71*u + 31 = 3*j + 73*u - 27 for j. 5 Solve -74*q = -73*q - 1, 23 = 4*z + 2*q - 35 for z. 14 Solve 21*y = 5*s - 125, y - 29640*s + 29645*s - 15 = 0 for y. -5 Solve -2536*b = -13*l - 2531*b + 39, 2*b = -0*b for l. 3 Solve -21201*m - x + 4*x - 12 = -21206*m, -2*m + 11 = -5*x for m. 3 Solve z + 554*v - 17 = 559*v, 3*z + 6*v = 51 for z. 17 Solve -5*q + 5*r + 63 + 76 = -6, 3*q - 2*r + 0*r - 56 = 0 for q. -2 Solve 49*n + 3 = 3*o + 50*n + 4, -65*o = 5*n - 95 for o. 2 Solve -11499*o - 17 = 2*y - 11490*o, -3*o = 4*y + 19 for y. -4 Solve -48 = -h, 287112 = y + h + 287067 for y. -3 Solve 2606*k - 17*l = 2604*k - 74, -5*k = 2*l + 7 for k. -3 Solve -63*j + 3912 = 2*b, 0*b + 150*j - 68 = -2*b + 149*j for b. 3 Solve t = -1015378*v + 1015383*v - 79, -t = -2*v + 34 for t. -4 Solve 2*h - 81 = 13*j - 1628, -51*h - 2*j + 226 - 7 = -19 for h. 0 Solve -j - 7 + 9 = 633*c - 632*c, c = 2*j - 13 for j. 5 Solve 6*j = -11*y + 10*j - 60 - 29, 3*y = 2*j - 27 for y. -7 Solve 4*o - 24 = -2*l, -9*o + 10*o = -12*l + 280 - 67 for o. -3 Solve -7*s - 59 = -1101*t + 1096*t, 0 = -2*s - 2*t + 38 for s. 3 Solve q = 3*t + 1, -5114*q = -5119*q - 9*t + 53 for q. 7 Solve 2 = g - 2*c, -g + 32*c + 1 = 37*c - 6*c for g. 0 Solve -32252 = -u - 3*y - 32147, 19 = -5*u + y for u. 3 Solve 2*c = -0*c - 3*h + 160, -544313*c + 2*h = -544318*c + 30 + 95 for c. 5 Solve -2*r - 4*l + 7 = -r, 14 = -105*r + 109*r + 9*l for r. -1 Solve 8 = -4*x + 2*x + 3*a + 23, 78 = 2*x - 24*a for x. 3 Solve 0 = 3*n + 4*c - 96, -5*c + 123 = -130*n - 136*n + 269*n for n. -4 Solve -177*w - 23 = 3*d + 177*w - 356*w, 13 = -d + 2*w for d. -5 Solve 191489*n - 382979*n + 191491*n - 71 = 5*y, -4*y = -3*n + 169 for n. 51 Solve 3*b - 380*a = -192*a - 182*a - 21, -b - 3*a = -23 for b. 5 Solve 4*j - 4 = 3*m, -14*j - 9*j = -12*j - 11*j - 5*m - 20 for j. -2 Solve 3*i = 3*l + 36, 185094*l = 185097*l + 5*i + 20 for l. -10 Solve 60 = -6*k - 2*i, -3*k - 43 = -2*i - 67 for k. -4 Solve 0 = 3*a - 5*g - 60, -2*g + 19 + 9 = 5*a + 21 for a. 5 Solve f + 19 = -f + 5*g, 10705 = 4*f + g + 10710 for f. -2 Solve -5*v + 224 - 119 = 5*c, v - 22 = -2*c for c. 1 Solve -3*c + n = 4, -63*c + 192*c + 36 = 65*c + 65*c + 5*n for c. 1 Solve 13*k - 17*k = -2*x - 40, 0 = -18*k + 14*k + 4 fo
{ "pile_set_name": "DM Mathematics" }
common multiple of 10830 and 1880. 2036040 Calculate the common denominator of 111/16562 and -42/10985. 1076530 What is the smallest common multiple of 389556 and 32? 3116448 What is the common denominator of 65/31234 and -19/1358? 31234 What is the common denominator of -47/420840 and -5/21042? 420840 Calculate the common denominator of 73/1713 and -53/75. 42825 Calculate the least common multiple of 2301630 and 81234. 6904890 What is the smallest common multiple of 246638 and 3318? 739914 What is the lowest common multiple of 137445 and 357? 137445 Calculate the common denominator of -13/625224 and 77/5736. 625224 Find the common denominator of 32/5325 and -41/120. 42600 Calculate the common denominator of -109/18 and -93/221510. 1993590 What is the common denominator of 47/9879 and -33/4625? 1234875 Calculate the least common multiple of 2465 and 109. 268685 What is the common denominator of -83/1000 and 161/98250? 393000 What is the common denominator of -11/529248 and 29/132312? 529248 What is the least common multiple of 1088 and 1492? 405824 Find the common denominator of -3/4 and 21/11041. 44164 Calculate the lowest common multiple of 23240 and 92960. 92960 What is the lowest common multiple of 3280 and 7380? 29520 Find the common denominator of -143/1836 and -4/4401. 299268 What is the smallest common multiple of 24 and 94? 1128 Calculate the smallest common multiple of 752630 and 4515780. 4515780 Find the common denominator of 107/312 and 149/132. 3432 What is the common denominator of 53/479292 and 19/44? 479292 What is the least common multiple of 1368 and 204060? 1224360 Calculate the common denominator of -77/433600 and -43/50. 433600 What is the common denominator of 31/25732 and -31/841804? 5892628 What is the smallest common multiple of 567 and 5670? 5670 What is the lowest common multiple of 329 and 14574? 684978 What is the smallest common multiple of 74752 and 146? 74752 Find the common denominator of -97/528 and -139/77220. 308880 Calculate the least common multiple of 99 and 3960. 3960 What is the smallest common multiple of 9656 and 91732? 183464 Find the common denominator of 103/1040 and 87/976. 63440 What is the smallest common multiple of 110 and 83688? 418440 Calculate the common denominator of 127/156 and 155/9048. 9048 Calculate the smallest common multiple of 11838 and 69055. 414330 Calculate the least common multiple of 68 and 11396. 193732 What is the smallest common multiple of 3937 and 2? 7874 What is the least common multiple of 78995 and 1525? 394975 Calculate the common denominator of -21/36100 and -5/266. 252700 Calculate the lowest common multiple of 115743 and 15. 578715 What is the common denominator of -35/24 and 107/337920? 337920 What is the common denominator of 22/29313 and 37/12? 117252 Calculate the common denominator of 31/54950 and -101/163280. 5714800 Calculate the common denominator of -15/18428 and -27/238. 128996 Calculate the lowest common multiple of 249 and 913. 2739 What is the least common multiple of 3036 and 396? 9108 What is the lowest common multiple of 32 and 44512? 44512 Calculate the least common multiple of 60 and 5436. 27180 What is the common denominator of -89/9438 and -41/6171? 160446 What is the common denominator of -1/116 and 73/2034? 117972 Find the common denominator of -137/24 and 77/321. 2568 Calculate the least common multiple of 51 and 28356. 28356 Calculate the common denominator of -17/8928 and 71/150784. 1357056 What is the common denominator of -3/234016 and -58/213? 702048 Calculate the common denominator of 125/587478 and 77/10. 2937390 What is the common denominator of 20/628473 and 5/406659? 6913203 What is the least common multiple of 2867 and 122? 5734 What is the smallest common multiple of 453 and 1479? 223329 What is the common denominator of 19/14954 and -73/140? 1046780 Find the common denominator of -163/4602 and 1/1534. 4602 Calculate the common denominator of -62/45 and 133/4572. 22860 Calculate the lowest common multiple of 1768 and 3978. 15912 Find the common denominator of -123/11680 and -77/32800. 2394400 What is the lowest common multiple of 99 and 6054? 199782 Calculate the smallest common multiple of 3439 and 27331. 519289 Calculate the least common multiple of 26082 and 154. 286902 What is the common denominator of 73/856 and -89/2568? 2568 What is the least common multiple of 1440 and 2565? 82080 What is the common denominator of 103/156 and -4/13125? 682500 Calculate the common denominator of 22/3 and 81/17528. 52584 Find the common denominator of -101/12894 and -7/10131. 141834 Calculate the smallest common multiple of 4400 and 990. 39600 Calculate the lowest common multiple of 31878 and 28980. 318780 Calculate the common denominator of -29/163593 and -62/8217. 1799523 What is the smallest common multiple of 4106 and 4? 8212 What is the common denominator of 77/78240 and -167/480? 78240 Calculate the smallest common multiple of 828 and 690. 4140 Calculate the common denominator of 89/5504 and 93/64. 5504 What is the smallest common multiple of 2 and 7559? 15118 What is the least common multiple of 324 and 1745172? 5235516 What is the least common multiple of 21241 and 73? 1550593 What is the least common multiple of 57321 and 495? 286605 Find the common denominator of -149/324 and 47/4752. 14256 Find the common denominator of 91/9034 and -11/2. 9034 Calculate the lowest common multiple of 8 and 1728. 1728 Calculate the lowest common multiple of 1175860 and 57204. 10582740 Calculate the smallest common multiple of 17 and 1627. 27659 Calculate the common denominator of 29/5660 and 27/7924. 39620 What is the least common multiple of 25604 and 44? 281644 Calculate the common denominator of -143/24 and 53/1652392. 4957176 What is the common denominator of 21/160 and 97/656? 6560 Calculate the least common multiple of 9 and 12963. 38889 What is the common denominator of -79/8 and 25/13966? 55864 Find the common denominator of 92/8055 and -57/10. 16110 Find the common denominator of -47/135 and -121/3650. 98550 Find the common denominator of -45/1828 and -29/1104. 504528 What is the lowest common multiple of 43602 and 78? 43602 What is the common denominator of 17/370 and -34/35261? 352610 Calculate the common denominator of 45/280456 and 21/12748. 280456 Find the common denominator of -17/19110 and 229/106470. 745290 Find the common denominator of -1/244 and -169/330. 40260 What is the common denominator of -65/6622 and -93/176? 52976 What is the common denominator of -133/864 and 95/5886? 94176 Calculate the common denominator of -73/8876 and 113/374. 1659812 What is the lowest common multiple of 4999 and 49990? 49990 What is the common denominator of 47/89754 and 8/21? 89754 Calculate the lowest common multiple of 10952 and 15059. 120472 Calculate the least common multiple of 12958 and 90706. 90706 Calculate the smallest common multiple of 52 and 8. 104 What is the least common multiple of 12 and 352632? 352632 What is the common denominator of -99/13000 and -8/65? 13000 Calculate the common denominator of 17/697430 and -29/15. 2092290 Find the common denominator of -76/10827 and 71/223758. 671274 What is the lowest common multiple of 23 and 190946? 190946 Calculate the least common multiple of 13708 and 2384. 54832 What is the smallest common multiple of 4352360 and 22? 47875960 What is the least common multiple of 1568 and 24? 4704 Calculate the least common multiple of 2227 and 17. 2227 What is the smallest common multiple of 20846 and 382673? 5357422 What is the smallest common multiple of 344 and 608? 26144 What is the common denominator of 26/75 and -93/228680? 3430200 Calculate the lowest common multiple of 13380 and 52. 173940 Calculate the common denominator of 53/22 and -5/54538. 54538 Find the common denominator of 93/10 and -1/2120. 2120 Calculate the least common multiple of 1332 and 2516. 22644 What is the common denominator of -109/5684 and -149/588? 17052 Find the common denominator of -58/187 and -25/13497. 229449 What is the least common multiple of 3 and 166133? 498399 What is the least common multiple of 197600 and 148200? 592800 Calculate the common denominator of 83/902 and -29/13202. 145222 Calculate the smalle
{ "pile_set_name": "DM Mathematics" }
j is positive. j**(-748/2175) Simplify ((t*t**4)/(t/t**3))/((t/(t*(t*t**(-3)*t*t)/t*t))/t*t*t**1)*(t**(-1/9)/t)/t**(-8)*(t*(t*t/t**(-1))/t)**39 assuming t is positive. t**(1169/9) Simplify ((j**(3/5)/j*(j*j/(j*j*j**(-5)*j))/j)/((j*j**(-2))/(j*j**(-3))))/((j/j**1)/(j**(2/19)*j))**(-5/11) assuming j is positive. j**(1147/1045) Simplify (n**(5/7)/n*n*n/n**(-1))**(-1/10)*((n**(-2/5)/n)**13)**(1/8) assuming n is positive. n**(-713/280) Simplify (y**0)**31*y**(-6)*y*y*y**(-4)*y*(y/((y*y**(-1))/y))**(-46)*y*y**(1/4)/y*y*y**(-2/5) assuming y is positive. y**(-1963/20) Simplify (x/x**(-6/19)*x**(1/78))/(x*x**(-12))**11 assuming x is positive. x**(181291/1482) Simplify (((y/y**(2/7))/((y/y**4)/y*y))/(y**2/(y**(-2/9)*y)))/(y*y**(2/5)*((y*y**(-1))/y)/y*y**3*y/y**(3/7)*y) assuming y is positive. y**(-466/315) Simplify ((k/k**(2/7))/k)**(1/27)*k**2*k*k/(k/k**(-2))*(k**(-2/3))**(-1/22)/(k*k**(-1/2)*(k*k**(-4)/k*k)/k) assuming k is positive. k**(18793/4158) Simplify (((t*t**(-2/7))/t*t)/t)/(t*t*t/(t**(-9)*t)*t)*t**7/t*t**3*(t**(-7)*t**(-1))/(t/(t/t**(2/7)*t*t))**(-29) assuming t is positive. t**(-61) Simplify ((x*x/(x/(x**(-7)/x)*x))/(x*x*x**7))**(-30)/(((x*x**(-4/9)/x*x)/(x*x**2/x*x*x))/(x*((x**7/x)/x)/x*x*x*x**(3/8)/x)) assuming x is positive. x**(37427/72) Simplify ((o/(o/(o*o/(o/o**(-7))*o*o*o))*o)**11/(o**(-1)*o*o*o/o**(-1/15)))**(2/79) assuming o is positive. o**(-722/1185) Simplify ((d**(4/9)/d*((d/(d*d**(1/26)/d))/d)/d*d)/(d**11)**18)**(-22) assuming d is positive. d**(511181/117) Simplify ((((g*g*g**(2/23))/g)/(g*g*g**11)*(g*g/g**2*g)**(-35))**(-3/14))**(-3/11) assuming g is positive. g**(-9711/3542) Simplify (t/(t*t**(1/4)))**4/(t*t*t**(-1/3)/t*t)**(-12/7)*(t/(t/t**2))/(t*t**(-4))*(t**(1/3))**34 assuming t is positive. t**(382/21) Simplify (p**(6/7)/(p*p*p*p/(p/p**(-3)*p*p)*p))**(1/28)*((p**0)**(-11/2))**40 assuming p is positive. p**(13/196) Simplify (r**(-1))**49/(((r*r**(1/3)*r*r)/r)/r)**(-9)*(r**(-1))**(-1/9)*r**(-4/7)*r/r**0 assuming r is positive. r**(-2297/63) Simplify ((d**3*d**(-12))/(d**(6/7)*d/(d*d*d**7*d)))**(20/11) assuming d is positive. d**(-120/77) Simplify (i/i**19)/((i*i**34)/i)*i*i*(i*i*i**(-4)*i)/i*i*i*i**(3/4) assuming i is positive. i**(-197/4) Simplify ((b/b**0)**16*b**4/(b/b**(2/9)))/((b*b/(b/(b**(-2)*b*b))*b**(-2))/(b**(1/3))**16) assuming b is positive. b**(230/9) Simplify ((f*f*f**8*f)/f)/(f*f**(2/5))*(f/f**(-1/3))**50*f*f*f**(1/7)*f/(f/(f/((f*f/((((f/(f/f**(-8)))/f)/f)/f))/f))*f*f)*f*f**0/f**(-6) assuming f is positive. f**(7498/105) Simplify ((z**0/z)/z**(-4))**(1/4)/((z**(-6)*z*z/(z**6*z)*z)/(z**(-3)*z/(z*z*z**3*z))) assuming z is positive. z**(11/4) Simplify ((y**(-8)/y**(1/8))/((y/(y**(2/3)/y)*y)/y**(-6)))/(((y**7*y)/y**(2/7))/((y*y**(-6))/y**(1/2))) assuming y is positive. y**(-4985/168) Simplify (m**(-1/2)/(m*m/m**(-3/2))*(m*m*m**(-2/13))/(m/m**(-2/19)))/(m**(-1/2)/(m*m**(4/3))*(m/(((m*m*m**0)/m)/m))**42) assuming m is positive. m**(-62875/1482) Simplify c**(-42)/(c*c**(-3/19))*(c**(5/3))**(13/8) assuming c is positive. c**(-18301/456) Simplify ((r/(r/r**(1/11)))/(r/r**(-4)*r)*(r**0)**12)/((r/((r**(1/5)*r)/r))/r**(1/2)*((r/(r**(-1)/r))/r)/((r**(-6)/r)/r)) assuming r is positive. r**(-1783/110) Simplify (h**(-15)/(h/h**(-11)*h)*(h**(4/5))**(-2/35))**(-4/45) assuming h is positive. h**(6544/2625) Simplify (k**(-26))**(-5/8)*(k**31*k)**18 assuming k is positive. k**(2369/4) Simplify ((a*a**(-6)/a)/a*a/a**6*(a**0)**(-2/37))/(a**6*a**(-1))**36 assuming a is positive. a**(-192) Simplify ((s/(s/s**(-1/5)))/(s/(s*s/(s*s**11*s)))*(s*s/(s**(-2)*s))**(7/3))**(-4) assuming s is positive. s**(104/5) Simplify d**(-2)/d**(-2)*(d**1*d)**24*(d**1)**(-40)*d**(-1/5)*d*d*d*d*d/(d/d**(1/4))*d assuming d is positive. d**(261/20) Simplify (a**(2/5)*a*a)/a*a*a*a**(-4/3)*(a**(-2))**(-9)*(a**(-2))**(-8)*(a/(a/a**(-2/29)))/(a*a*(a**5*a)/a) assuming a is positive. a**(12614/435) Simplify (c*c*c**(1/36)/c*c*c**34/c*c/(c/(c/(c*c**(-1/18)*c*c*c)))*c**(1/9)*c)**(-2) assuming c is positive. c**(-1195/18) Simplify (j**(-1/3)*j**(2/3))**48*((j*j**1)**(1/58))**(-18) assuming j is positive. j**(446/29) Simplify (d**0)**(1/63)*d/(d**(2/3)*d)*d/(d/(d*d**(3/4)))*d/d**(1/8)*d**(-1/4)*((d/((d/(d**(1/4)/d))/d))/d)**3 assuming d is positive. d**(-13/24) Simplify (a**(-2/7)*((a*(a/(a/a**(-2/27)))/a*a)/a)/a*a)**(31/5)/((a**(2/9))**45)**(-1/17) assuming a is positive. a**(-26386/16065) Simplify (h*h/h**(-2)*h)/(h/(h*h**(-2/5)))*h**(-2/7)/(h**(4/9)*h)*((h**0*h)**(-46))**26 assuming h is positive. h**(-375836/315) Simplify ((x**(1/4))**(-20)*(x/((x**(-6)*x*x)/x))/((x/x**(-1))/x))/(x/x**4*x**(-6))**(2/97) assuming x is positive. x**(18/97) Simplify (x**0)**(2/93)*(x*x**(-1))**(4/25)*(x/x**(-6)*x**(-1/4))/((x**(-1/5)/x)/(((x**(-1/7)/x)/x*x)/x)) assuming x is positive. x**(813/140) Simplify ((y**10/y*(y**(-1)*y)/y)/((y*y**14)/(y**(-18)*y)))**(9/4) assuming y is positive. y**(-54) Simplify ((s*s**(-2/3)*s*s*(s/s**(-2/73))/s*s)/(s/s**(-19)*s**(-2/15)))**(1/14) assuming s is positive. s**(-1291/1095) Simplify (((y/(y/(y*y**(-7)*y)))/(y/(y/(y/(y/y**(-4/7)))*y*y)))/(y**(-7)*y**(-1)))/(((y**(1/5)/y)/y)**(-12)/(y**(1/5))**15) assuming y is positive. y**(-456/35) Simplify (((o*(o*o**(5/8))/o*o*o*o**11)**(4/15))**(1/40))**(2/23) assuming o is positive. o**(39/4600) Simplify (x**(-2/7)/x**(1/5))/((x/x**(-1/3))/(x*x**(-4/5)))*((x/x**0*x)**7)**(-3/10) assuming x is positive. x**(-611/105) Simplify (z**(2/79)*z**(-5/3))/((z/(z*z/(z*z**(-11/2)/z*z))*z*z)/(z/((z**28*z*z)/z))) assuming z is positive. z**(-12391/474) Simplify ((l*l**(4/9)*l)/l**(-9))**30*((l/(l/((l*l*(l*l*l/(((l*l*l*(l/l**0)/l*l*l)/l)/l)*l)/l*l*l)/l)))**(6/7))**41 assuming l is positive. l**(9424/21) Simplify (((i/(i**(-2/31)*i))/i)/i*i**(-2/15)/i)**(-3)*i**(-2/17)*i**2*(((i*i*i*i**5)/i)/i)/(i*i**(1/3)/i) assuming i is positive. i**(132452/7905) Simplify ((m/(m**(3/2)*m))/(m*m*m**(1/3)))/(m**(-4)*m*m*m**(3/5)*m)*(m*m/(m*m**0)*m)**(2/77)/(m/(m*m**0*m))**1 assuming m is positive. m**(-5501/2310) Simplify (b**(-2/5))**(-15)/((b/(b/b**(-8)*b)*b)/(b*b/b**(-2/13)*b))*((b/(b/(((b*b**(-1)*b)/b*b)/b))*b)/b)**(1/31)/(b**(1/6))**(-46) assuming b is positive. b**(968/39) Simplify ((c*c**(3/5))**(-14/11)/(c*c/(c**(-2/33)/c)*c*c/(c*c**(-2/35))))**(8/13) assuming c is positive. c**(-56864/15015) Simplify ((g**(2/3))**(-32)*(g*g**(-1)*g)**(-6))/((g*g/g**3)/g**(-7))**(2/5) assuming g is positive. g**(-446/15) Simplify ((((a/(a*a**3/a))/a*a*a/a**(-4/9)*a*a)**(-46))**(-1/26))**31 assuming a is positive. a**(713/9) Simplify (c**(-1)/c**2)**(-20)*(c**(1/4)/(c/c**(1/3)))**(-6/5) assuming c is positive. c**(121/2) Simplify (((b**(7/3)*b)/(b*b**(2/3)))/((b/b**(-7))/b**5))/((b/(b**(2/3)*b))**(-2/65)/((b/b**(-1/2))/(b**(-1/4)*b))) assuming b is positive. b**(-157/260) Simplify (d*d/(d**1/d))**(-2/47)/(d*d**(-2/5)/d*d*d**5)*(d**(1/2))**(-22/7)/((d*d**(-5))/d*d**(-6)) assuming d is positive. d**(6158/1645) Simplify (((q/q**(-1))/q**(-1/3))/(q/q**(1/2))**(-23))/((q**1)**(1/4))**(1/11) assuming q is positive. q**(1823/132) Simplify ((q**19/(q/(q/((q**(-2/7)/q)/q)*q)))/(q/q**(-1/13))**7)**(-38) assuming q is positive. q**(-50996/91) Simplify (k*k**(1/7)*k*k**(1/2)*k*k*(k/(k*(k**(-2/3)*k)/k))/k**4)/(k**8/k**(-4))**(-19) assuming k is positive. k**(9631/42) Simplify ((y*y**(-4/9))/(y/(y**16*y*y))*(y**(-2))**(-2/29))**(3/16) assuming y is positive. y**(2309/696) Simplify (((t*t*t*t**(3/4))/t)/((t/((t**6/t)/t)*t*t)/t*t))**15/(t**(-2)*t*t**(-1/3)*t**1/(t/t**(-3))) assuming t is positive. t**(727/12) Simplify ((((v**(-1)/v*v*v)/v**9)/(v/(v*v**2)*v)**(2/3))**(2/15))**(2/9) assuming v is positive. v**(-20/81) Simplify ((u**(-1)*u*u)**33)**(-32)/((u**(-1/4)/u*u)**(2/9))**(-1/52) assuming u is positive. u**(-988417/936) Simplify (((i/(i/((i/i**(-4))/i*i))*i**(-2/13))/((i/i**(2/3))/(i/(i*i**6*i))))**(5/2))**(3/10) assuming i is positive. i**(-97/52) Simplify (((u**(-2/7))**48*u*u/((u**1/u)/u)*u**0)**(1/4))**(2/153) assuming u is positive. u**(-25/714) Simplify (((i/i**2*i)/(i*i**(-2/15))*i**(1/3)/i*i**(3/7)/i)**(2/15))**(-9/4) assuming i is positive. i**(221/350) Simplify (g**(-2/9)*g*g/(g**(-2/9)*g))/((g/g**(-2/9))/(g**(-1/3)*g))*((g/(g*g**2))/g*g/(g*g**4))/(g**(-2/5))**(-4/7) assuming g is positive. g**(-2137/315) Simplify (((b/((b**(1/4)/b)/b))/b**(-
{ "pile_set_name": "DM Mathematics" }
j**4. What are the prime factors of o(-3)? 23 Let m = 57 - 48. Suppose -4*j - 4*d + 220 = 0, -5*d + m = -11. List the prime factors of j. 3, 17 Let k be 217 - 8/(-1 - -3). Suppose 0 = 5*y - 2*y + k. Let j = 102 + y. List the prime factors of j. 31 Let r = 335 - 204. What are the prime factors of r? 131 Let m(v) = v**2 - 4*v - 17. Let b be m(7). List the prime factors of (-27)/((12/b)/(-9)). 3 Let p(y) = -y + 79. Let g be p(0). Suppose g - 3 = 2*f. List the prime factors of f. 2, 19 Let n = -1 + -20. Let w = 26 + n. Suppose 2*t = -3*f + 111, -w*f = 14 + 11. What are the prime factors of t? 3, 7 Suppose -4*t - 3*z + 30 = -143, -3*t = 4*z - 128. Let i = t - -35. What are the prime factors of i? 79 Let x = -13 - -18. Let f = -1 + x. List the prime factors of (-198)/f*10/(-15). 3, 11 Let g(h) = 4*h**3 + h**2 + 3*h - 5. Suppose -4*l = -3*o + 14, -o + 8 = -2*l - l. Let p be g(o). Suppose 0 = -2*k + p - 1. List the prime factors of k. 2, 3 Let w(a) = a**2 - 5*a - 9. Let f be w(8). Suppose 0 = f*b - 2349 - 1836. List the prime factors of b. 3, 31 Let z(s) = -382*s - 386. What are the prime factors of z(-6)? 2, 953 Let s = 53 + -25. Suppose -48 + s = -p. Suppose -22*m = -p*m - 58. What are the prime factors of m? 29 Suppose 5*g + 8003 = 2*f, -4*f - 473*g + 16036 = -477*g. List the prime factors of f. 2, 3, 223 Let f = -10 + 22. Suppose d - 210 + f = 0. What are the prime factors of d? 2, 3, 11 Let h be (30/(-35))/(6/(-28)). List the prime factors of 2961/12 - (-1)/h. 13, 19 Let k(z) = -z**2 - 4*z - 2. Let m be k(-2). Suppose 18 = 3*w - m*w + a, -w + 26 = -3*a. List the prime factors of w. 2, 5 What are the prime factors of (-1)/(-3) - 1124/(-12)? 2, 47 Let m(z) = -1384*z - 76. What are the prime factors of m(-3)? 2, 1019 List the prime factors of 9735/27 + 32/72. 19 Let w(v) = -3*v - 10. Let h be 1*(3 + -4) + 2. Let r be 2 + (-1)/(h/10). What are the prime factors of w(r)? 2, 7 Suppose -2*q + 276 + 744 = 0. List the prime factors of q. 2, 3, 5, 17 Let x = 1067 - 668. List the prime factors of x. 3, 7, 19 Suppose 6*v = 12*v - 786. Suppose 3*o + 2*t - 119 = v, 0 = 3*t - 15. List the prime factors of o. 2, 5 Let d = 36 - 34. Suppose -12*v + 7*v + 277 = -d*m, 0 = -3*v + 2*m + 167. What are the prime factors of v? 5, 11 Let j(o) = -196*o - 166. What are the prime factors of j(-8)? 2, 701 Let d(n) = 20*n + 121. List the prime factors of d(22). 3, 11, 17 Let l(n) = -2*n**3 - 4*n**2 - n + 4. Let u be l(-3). Suppose 471 = 2*q + u. What are the prime factors of q? 223 Let q be (-1)/((15/12)/(-5)). Suppose 8 + 16 = q*u. Suppose 0 = u*k - 2*k - 268. What are the prime factors of k? 67 Let h be (300/8)/(-5)*8*-1. Let k = 117 - h. What are the prime factors of k? 3, 19 Suppose -j - u = 0, j + 15 = -2*j + 2*u. Let g be -3 + -2 + 5 - j. List the prime factors of (-154)/(-11) + g*1. 17 Let p(s) = -s**3 + 50*s**2 + 126*s + 64. What are the prime factors of p(52)? 2, 151 Let j be 1*(-18)/(-4) - (-15)/10. Suppose j*y - 793 = 623. What are the prime factors of y? 2, 59 Suppose j + 3*i - 214 - 36 = 0, -5*j - 4*i = -1272. Let k = -132 + j. List the prime factors of k. 2, 31 Let q = -318 + 516. Let r = q + -74. What are the prime factors of r? 2, 31 Let v(i) = -i + 20. Suppose s - 8 = -6. Suppose 4*q - 2*p + p = -25, 11 = -s*q - p. List the prime factors of v(q). 2, 13 Suppose 15*u = -14*u + 26506. What are the prime factors of u? 2, 457 Suppose 21146 = 27*j - 3478. What are the prime factors of j? 2, 3, 19 Suppose -4*a = -5*j - 23, -5*j + 11 = 2*a - 8. Suppose -4*v = a*v - 1023. List the prime factors of v. 3, 31 Suppose 0 = x - 5*s - 83 + 8, 456 = 5*x + 2*s. Let w be x/(-8)*(-12)/3. Suppose -90 = -5*m + w. What are the prime factors of m? 3 Suppose 5*p = -4*i - 17, 2 = -i + 5*p - 4*p. What are the prime factors of ((-83)/i)/((-7)/(-42))? 2, 83 Let s(a) = -12*a**2 + 5*a + 6*a**2 + 3*a**3 - 10*a + 2. List the prime factors of s(3). 2, 7 Suppose -2*p = -2*d - d - 353, 2*d - 2*p + 236 = 0. Let f = d + 147. What are the prime factors of f? 2, 3, 5 Suppose 112 = -5*u + u. Let h be (-8)/u + (-1359)/(-21). Suppose h = 3*o + 11. List the prime factors of o. 2, 3 Let d = -36 - -39. Suppose -m + 0*m - 113 = -2*l, d*l = 5*m + 152. List the prime factors of l. 59 Let y(s) = s**2 + 45*s - 12. List the prime factors of y(15). 2, 3, 37 Let l = 0 - 1. Let v be -1 + l - 78/(-3). Suppose 5*w = -2*x + v + 61, -3*w - 4*x = -37. List the prime factors of w. 19 Let p = 28 - 27. Suppose 0 = -5*x - 10, 6 = j + 5*x - p. List the prime factors of j. 17 Suppose -4*v - u + 11 = -0*u, -3*v + 8 = u. Suppose q + 5*y - 215 = 0, -4 = y - v*y. Suppose q = -0*s + 5*s. What are the prime factors of s? 41 Suppose 0 = 4*q - 4*s - 2384, -7*s + 9*s + 1783 = 3*q. What are the prime factors of q? 3, 197 Let s be (1 - 1)/(2 + -3). Let l be (-1 - 15)*(-7)/28. Suppose l*w + 31 - 135 = s. List the prime factors of w. 2, 13 Let b(a) = -30*a - 26. Let m(p) = 31*p + 26. Let k(z) = 4*b(z) + 3*m(z). List the prime factors of k(-8). 2, 5, 19 Let y be (16/(-4) - -9)/1. Suppose -y*d + 4*d + 120 = 0. What are the prime factors of d? 2, 3, 5 Let b(s) = 23*s - 29. What are the prime factors of b(3)? 2, 5 Suppose -y - 3*n + 57 = -2*y, 4*y + 3*n + 213 = 0. What are the prime factors of y*(-15)/(-10)*(-14)/6? 3, 7 Let g(l) = 23*l - 8 + 0*l**3 - 50*l + l**3 - 7*l**2 + 37*l. What are the prime factors of g(7)? 2, 31 Let x = 93 - 45. Let f = x + -24. What are the prime factors of f? 2, 3 List the prime factors of 231707/119 - (-18)/(-153). 3, 11, 59 Suppose -p = w + 14, 4*w - 4*p - 17 = 5*w. Let t = w - -44. Suppose -11*v - t = -12*v. List the prime factors of v. 31 Let j(m) = m. Suppose -5*q + 45 = -0*q - h, 0 = 5*q + 4*h - 45. Let s = 11 - q. List the prime factors of j(s). 2 Let i(x) be the third derivative of -x**4/24 + x**3/3 + 6*x**2. What are the prime factors of i(-6)? 2 Let w be (-1)/(-5) - 174/(-5). Suppose -2*x = 5*x - w. What are the prime factors of x? 5 Let q = -2715 + 4594. What are the prime factors of q? 1879 Let a(t) = -t**3 + 8*t**2 + 9*t + 4. Let h be a(9). Suppose 0 = 3*c - 3*v - 69, v - 94 = -h*c + 3*v. List the prime factors of c. 2, 3 Let t(d) = d**3 - 31*d**2 - 17*d + 31. List the prime factors of t(32). 7, 73 Let w(i) = 8*i**2 + 28*i - 157. What are the prime factors of w(10)? 13, 71 Suppose -b + 1 = -7. Suppose 6*s - 4*s = p - 15, -5*s + 73 = 4*p. Let x = p - b. List the prime factors of x. 3 Let h(t) = 4*t - 4. Let f be h(-2). Let u be (-126)/f*(-20)/(-3). Suppose -3*a + a = -u. What are the prime factors of a? 5, 7 Suppose -2*q + 3*z = 96, -222 = 5*q + 6*z - 9*z. Let p = -40 - q. What are the prime factors of p? 2 Let x(o) = 37*o + 8. What are the prime factors of x(2)? 2, 41 Suppose 0 = -5*a + 3*k + 449, -k - k - 182 = -2*a. Suppose -3*t + 7 = -53. Suppose -a + t = -4*g. List the prime factors of g. 17 Let d = 139 - -204. What are the prime factors of d? 7 Let n(s) = s**2 - 4*s - 19. Let z be n(7). List the prime factors of (-1120)/(-24) - z/(-6). 47 Suppose 5*w + n = 2065, 0 = 5*w - 5*n + 841 - 2906. Let m = w - 278. List the prime factors of m. 3, 5 Let p(r) = r + 20. Let q be p(-18). Suppose -3*j + 48 = 3*w, -3*w - q*w - 46 = -2*j. List the prime factors of j. 2, 3 Suppose 33 = -15*x + 18*x. Suppose -x*t + 594 = -1419. List the prime factors of t. 3, 61 Let n(m) = -190*m + 4. List the prime factors of n(-1). 2, 97 Suppose -5*k + 15 = 0, -2*k = 5*s - k - 48. Let l(q) = q**2 - 8*q - 9. Let p be l(s). Suppose -5*b + 26 + 39 = p. List the prime factors of b. 13 Suppose 6*s = 2090 + 1444. List the prime factors of s. 19, 31 Let q(t) = -t**3 + 5*t**2 + t - 5. Let g be q(5). Let r be -58*(2 + -1 - g). What are the prime factors of r/(-6) - (-3)/9? 2, 5 Suppose -9*c + 4*c + 1315 = 0. Let k = c + -166. Let y = k - 40. List the prime factors of y. 3, 19 Let x = -7 - -9. Suppose 0*g + x*g = 0. Suppose 116 = -g*b + 4*b. What are the prime factors of b? 29 Let i(k) = k**2 + 6*k + 11. Let h(d) = -8*d + 19. Let q(r) = -r. Let a(y) = h(y) - 6*q(y). Let z be a(13). What are the prime factors of i(z)? 2, 3 Suppose 0*d + d = -4. Let n = d - -47. List the prime factors of n. 43 List the prime factors of (-10 - -7)/((36/2594)/(-6)). 1297 Let k = 3702 - -24. List the prime factors of k. 2, 3, 23 Let g(s) = 86*s - 26. Let
{ "pile_set_name": "DM Mathematics" }
t(11)/17 Simplify ((2*-1*sqrt(204))/(-2*sqrt(108) - sqrt(12)))**2. 68/49 Simplify sqrt(121)/(sqrt(396) + 1*sqrt(396)). sqrt(11)/12 Simplify (-3 + sqrt(704)*-1)**2. 48*sqrt(11) + 713 Simplify (0 + sqrt(1539) + 2)**2. 36*sqrt(19) + 1543 Simplify (sqrt(21)/sqrt(7)*1*-3)**2. 27 Simplify (sqrt(1331) - (sqrt(1331) + -1)) + 3 + 0. 4 Simplify (sqrt(63) + (sqrt(1575) + 2*sqrt(1575) - sqrt(63)))/(-1*(sqrt(36)/sqrt(4) + sqrt(9))). -15*sqrt(7)/2 Simplify (sqrt(2736) + (sqrt(2736)*-3)**2)*-2. -49248 - 24*sqrt(19) Simplify (sqrt(25)/sqrt(5) + -5 + (sqrt(125)/sqrt(5))/sqrt(5))**2. -20*sqrt(5) + 45 Simplify 5 + sqrt(539) + (sqrt(539)*-1)**2 + -1. 7*sqrt(11) + 543 Simplify (sqrt(45)/(sqrt(6)/sqrt(2)) + sqrt(15))/(sqrt(243) - (sqrt(243) - sqrt(243)*2 - sqrt(243))). 2*sqrt(5)/27 Simplify ((sqrt(224) - -1*sqrt(224)) + sqrt(224))/(-2*sqrt(72) - sqrt(72)). -2*sqrt(7)/3 Simplify sqrt(128)*2 + (sqrt(2) + 1)**2 + -1. 2 + 18*sqrt(2) Simplify -1 + (sqrt(85)/sqrt(5))**2 + 1. 17 Simplify -6*(sqrt(22)/sqrt(2) + 5). -30 - 6*sqrt(11) Simplify 3*((sqrt(2448)*-2)**2 + 2). 29382 Simplify (sqrt(3200)*-1 + -5 - sqrt(3200))**2*2. 1600*sqrt(2) + 25650 Simplify ((sqrt(117)*2 - -1*sqrt(52)/sqrt(4))*-1 + 0)**2. 637 Simplify (sqrt(720) + (sqrt(720) - ((sqrt(720) - -1*sqrt(720) - sqrt(720)) + sqrt(720) - sqrt(720))) + 5 - -6*(0 + sqrt(720)))**2. 840*sqrt(5) + 35305 Simplify sqrt(45)/sqrt(144) - (sqrt(405) + -1 + sqrt(405) - sqrt(405))**2 - -6*sqrt(80)*4. -406 + 457*sqrt(5)/4 Simplify (3*(sqrt(72) + (sqrt(72)*1 - sqrt(72)) + sqrt(72)))/(sqrt(192)/sqrt(2) - sqrt(6)). 4*sqrt(3) Simplify -5 + (sqrt(57)*2)/sqrt(3). -5 + 2*sqrt(19) Simplify (sqrt(72)/sqrt(4)*-4 - sqrt(18) - sqrt(18))**2. 648 Simplify ((sqrt(110)*3)/sqrt(10) + 0)*-2. -6*sqrt(11) Simplify -4*(sqrt(567) + -1 + sqrt(567)). -72*sqrt(7) + 4 Simplify ((sqrt(132)*1 - sqrt(132) - sqrt(132))/sqrt(6))/(sqrt(11) - sqrt(176)*-1). -sqrt(2)/5 Simplify (sqrt(77)/(sqrt(22)/sqrt(32)))**2 + -2. 110 Simplify (2 + sqrt(1053) + sqrt(1053)*5)**2. 216*sqrt(13) + 37912 Simplify ((sqrt(143) + (-2*sqrt(143) - sqrt(143)) + sqrt(143))/sqrt(11) + -4)**2. 8*sqrt(13) + 29 Simplify (sqrt(13) - (sqrt(13) - sqrt(208))*-3)*-1 + (-4*(2*sqrt(104) + sqrt(104)))/sqrt(8). -4*sqrt(13) Simplify -4*3*sqrt(684). -72*sqrt(19) Simplify 3 + (4 + sqrt(480)/sqrt(10))**2. 32*sqrt(3) + 67 Simplify 3*-3*(sqrt(13) + -4). -9*sqrt(13) + 36 Simplify (6*(sqrt(84)*-1 - sqrt(84)) + sqrt(84))/(3*(sqrt(12) + sqrt(12)*2 - sqrt(12) - sqrt(12))). -11*sqrt(7)/3 Simplify ((sqrt(112) + -1 + -3 - -1*-2*sqrt(112)) + -4)**2. 64*sqrt(7) + 176 Simplify (-4*-4*(sqrt(13) + -2 + sqrt(13)))**2. -2048*sqrt(13) + 14336 Simplify (-2*sqrt(60))/sqrt(12) - (sqrt(15)/(1*sqrt(3)))**2. -5 - 2*sqrt(5) Simplify (5 + (sqrt(17) + sqrt(34)/sqrt(2) - sqrt(17)) - (sqrt(17) - (sqrt(17) + -1 + -2)))**2 + 5. 4*sqrt(17) + 26 Simplify sqrt(17) + 0 + -3 + 2. -1 + sqrt(17) Simplify 1*(sqrt(5) + sqrt(5)*2) + 4 - (1 + sqrt(320) + sqrt(80)*-6). 3 + 19*sqrt(5) Simplify (sqrt(343)*4)**2 - (sqrt(63) + -3). -3*sqrt(7) + 5491 Simplify (4 + sqrt(17) + -4 - ((sqrt(17) + -2 - sqrt(17))*2 - sqrt(17)))**2. 16*sqrt(17) + 84 Simplify ((sqrt(228) + (sqrt(228) - (-1*sqrt(228) + sqrt(228))))*4)/(sqrt(12) + sqrt(972)*1). 4*sqrt(19)/5 Simplify (3 + sqrt(3) + -2)*1. 1 + sqrt(3) Simplify sqrt(28)/(sqrt(4) - (sqrt(4) - sqrt(144))) - ((sqrt(35)/sqrt(5))**2 + -2). -5 + sqrt(7)/6 Simplify (sqrt(156) + -3*sqrt(156)*4 + sqrt(156))/(sqrt(1728) + sqrt(1728)*1). -5*sqrt(13)/12 Simplify (1 + sqrt(14)/sqrt(7))**2 + -1*sqrt(98). -5*sqrt(2) + 3 Simplify (sqrt(1088) - (sqrt(1088) + -4*sqrt(1088) + sqrt(1088)))**2 + (sqrt(833))**2*-4. 6460 Simplify sqrt(108)*-2 + (sqrt(108)/(sqrt(9)*1))**2. -12*sqrt(3) + 12 Simplify (sqrt(65)/sqrt(180) + sqrt(1573) + -2)**2. -134*sqrt(13)/3 + 58501/36 Simplify -4*(sqrt(175) + -1)**2 + 0 + sqrt(175) + 0. -704 + 45*sqrt(7) Simplify -2 + sqrt(20)/(sqrt(144) - sqrt(4)). -2 + sqrt(5)/5 Simplify 2*(((sqrt(2057) + 0)*-1)**2 - sqrt(2057)). -22*sqrt(17) + 4114 Simplify -5 + sqrt(50) + -1. -6 + 5*sqrt(2) Simplify (sqrt(52) + (-2*sqrt(208))/sqrt(4))/sqrt(4). -sqrt(13) Simplify (4*(0 + sqrt(11)) - sqrt(11))**2 + -2. 97 Simplify sqrt(7) + -2 + -5 + (-2*sqrt(1008))**2. sqrt(7) + 4025 Simplify ((sqrt(98) + 5 + 1*sqrt(98))*-4)**2. 2240*sqrt(2) + 6672 Simplify ((sqrt(108) - (sqrt(108)*3*4 - sqrt(108))) + 1)**2. -120*sqrt(3) + 10801 Simplify (5*sqrt(84)*1)/(sqrt(432)*-2 - sqrt(432)) + -2. -2 - 5*sqrt(7)/18 Simplify ((-2*sqrt(700) - sqrt(700)) + -4)*4. -120*sqrt(7) - 16 Simplify (sqrt(539)*-3)**2 - (1 + (sqrt(11) - sqrt(396))**2). 4575 Simplify (3*sqrt(567)*1 + 5)*-1. -27*sqrt(7) - 5 Simplify (1 + sqrt(200) - (-5 + (sqrt(2) - (sqrt(2) + -2))))**2. 80*sqrt(2) + 216 Simplify ((sqrt(304) + sqrt(304) + -1)**2 - sqrt(304)) + (0 + sqrt(19) - sqrt(19))**2*-3 + sqrt(19) + 1. -19*sqrt(19) + 1218 Simplify (sqrt(1331) + (sqrt(1331) - (-2*sqrt(1331) + 5)) + -5*(sqrt(11) + 0 + sqrt(11) + -1 + sqrt(11)))**2. 9251 Simplify sqrt(12)/(sqrt(4) + sqrt(16)*3 + sqrt(4) - sqrt(4)). sqrt(3)/7 Simplify (-3*((sqrt(605) + 1 + sqrt(605) - sqrt(605)) + -4))**2. -594*sqrt(5) + 5526 Simplify -2*sqrt(832)*5. -80*sqrt(13) Simplify ((sqrt(104) + (sqrt(104) - 3*(sqrt(104)*1 + sqrt(104))))/(sqrt(128)*2))**2. 13/4 Simplify (-3*1*sqrt(56) + sqrt(56))/(sqrt(8) + 2*sqrt(968)). -2*sqrt(7)/23 Simplify (1*sqrt(152)*4)/(sqrt(80)/(sqrt(30)/sqrt(3)) + sqrt(8)). 2*sqrt(19) Simplify 5*((sqrt(108) + 1)**2 + -4*(sqrt(9)/sqrt(3) - sqrt(3))). 60*sqrt(3) + 545 Simplify (((sqrt(36) - sqrt(216)/sqrt(6)) + sqrt(36))/sqrt(2))/(sqrt(6) + sqrt(18)/(sqrt(3)*2)). 2*sqrt(3)/3 Simplify 2*(sqrt(500) + sqrt(500) + -6*-2*sqrt(500)). 280*sqrt(5) Simplify (sqrt(50) - (sqrt(50) + sqrt(150)/(-2*sqrt(3))))/(sqrt(90) - (sqrt(90) + sqrt(90) + -2*sqrt(90))). sqrt(5)/6 Simplify -5*sqrt(57)/sqrt(3) + 4*(sqrt(19) + 1). -sqrt(19) + 4 Simplify (-1*sqrt(539))**2 - (-5 + sqrt(1584))**2. -1070 + 120*sqrt(11) Simplify (5*sqrt(120)/sqrt(2))/((sqrt(12) + sqrt(12) + sqrt(12)*-2 - sqrt(12))*-5). sqrt(5) Simplify 1*sqrt(200)*3 - sqrt(200). 20*sqrt(2) Simplify -3 + sqrt(114)/sqrt(6) + 5*(sqrt(19) + -2). -13 + 6*sqrt(19) Simplify (4*(sqrt(108)*-2 + (sqrt(48) + sqrt(3))*3))**2. 432 Simplify sqrt(13) + (sqrt(39)/sqrt(3) + -2)**2 - sqrt(4212)/sqrt(4). -12*sqrt(13) + 17 Simplify (sqrt(63) + 0)**2*-5 - (1 + sqrt(1008)). -316 - 12*sqrt(7) Simplify sqrt(99)/(sqrt(36)*1). sqrt(11)/2 Simplify (sqrt(6) - (sqrt(486) + sqrt(486)*-1))/((sqrt(8) - sqrt(2))*-4). -sqrt(3)/4 Simplify 2*(sqrt(15)/sqrt(3)*4 + 0). 8*sqrt(5) Simplify sqrt(60)/(4*sqrt(48)). sqrt(5)/8 Simplify sqrt(49)/(sqrt(63) + sqrt(252) + sqrt(63)). sqrt(7)/12 Simplify (sqrt(110) - sqrt(110)*1*3)/(-4*sqrt(50)/sqrt(5)). sqrt(11)/2 Simplify sqrt(99)/(sqrt(81) + sqrt(9)) + 3. sqrt(11)/4 + 3 Simplify (2*sqrt(70)*1)/(sqrt(50)/(sqrt(5) - sqrt(80))). -6*sqrt(7) Simplify sqrt(176)*3. 12*sqrt(11) Simplify (-4*sqrt(1539)*-2)**2. 98496 Simplify 4 + sqrt(28)/sqrt(4)*6 + -3. 1 + 6*sqrt(7) Simplify (sqrt(1300)*-1*4 - sqrt(1300))*3. -150*sqrt(13) Simplify (sqrt(5) + (-2 + sqrt(5))*-1)*6. 12 Simplify (sqrt(168)/(sqrt(8)*2))/sqrt(3). sqrt(7)/2 Simplify (sqrt(90)/sqrt(2) + 0)**2 - (sqrt(40)/sqrt(32))**2*-3. 195/4 Simplify (3*(sqrt(33) + sqrt(33) + sqrt(1188)) + sqrt(33))/(sqrt(1100) + -3*sqrt(1100)). -5*sqrt(3)/4 Simplify 4 + sqrt(119)/(3*sqrt(21)/sqrt(3)). sqrt(17)/3 + 4 Simplify (sqrt(24) - 6*sqrt(384))/(sqrt(108)*-5). 23*sqrt(2)/15 Simplify 3*(0 + sqrt(13) + 2 + sqrt(13)). 6 + 6*sqrt(13) Simplify -5 + (sqrt(4) + (sqrt(4) - ((sqrt(36)*5 - sqrt(4)) + sqrt(4) - sqrt(4))))/sqrt(2). -12*sqrt(2) - 5 Simplify ((sqrt(5) - (sqrt(5) + sqrt(320)*2)) + sqrt(5) + (sqrt(120)/sqrt(2))/sqrt(12))**2. 980 Simplify 3 + (5*(sqrt(52)/sqrt(4) - sqrt(13) - sqrt(13)))**2. 328 Simplify ((sqrt(24)*-2)/sqrt(4))/(sqrt(2) - (sqrt(242) - sqrt(242)*2 - sqrt(242)) - sqrt(2)). -sqrt(3)/11 Simplify ((sqrt(17) + sqrt(153))*-1 - sqrt(17)) + 1. -5*sqrt(17) + 1 Simplify sqrt(11) + sqrt(33)/(sqrt(6)/sqrt(2)) - sqrt(22)/(sqrt(12)/sqrt(6)). sqrt(11) Simplify (sqrt(42)/sqrt(54))**2 + sqrt(7) + -4*sqrt(7)*4. -15*sqrt(7) + 7/9 Simplify -4 + -2*(4 + sqrt(102)/sqrt(6)). -12 - 2*sqrt(17) Simplify -1*(((sqrt(57)/sqrt(3) + 3 - sqrt(19)) + sqrt(19))**2 + 4). -32 - 6*sqrt(19) Simplify 3*(4 + sqrt(13))*2. 6*sqrt(13) + 24 Simplify (sqrt(209) + -5
{ "pile_set_name": "DM Mathematics" }
.1, 4, t? t Let r = 0.1 + -2.1. What is the closest to 1 in r, -0.5, 6/11? 6/11 Let q = 0.5 - 0.9. Let z = -12 - -6. Let t = 11 + z. What is the closest to 0 in 1/8, t, q? 1/8 Let u = 11.8 - -0.2. Let o = u + -11.5. What is the closest to 1 in 5, o, -1? o Suppose 5*y = 8*t - 4*t + 30, 0 = -2*t - y - 8. Let u be 9/(-12)*t/15. Let p = 161/8 - 20. Which is the nearest to -2/5? (a) -2 (b) u (c) p c Suppose 16*r = 11*r - 15. Which is the nearest to -1? (a) 4 (b) r (c) 5 b Let p = 119 + -122. What is the closest to 1/4 in -2/11, p, 1/5? 1/5 Let c be (-2)/(-4)*0 + 2. Let l(i) = i - 9. Let y be l(4). What is the closest to -1/4 in c, 1, y? 1 Let r = -5/11 - -3/11. Which is the nearest to -2/5? (a) r (b) -0.2 (c) 2 b Let a = -0.8 + 0.4. Let n be (13/2 + 0)*-2. Let s = n - -40/3. What is the closest to -0.1 in 1, a, s? a Let a be 6/5*(-10)/(-4). Suppose 3*s = -0 + a. What is the nearest to -2/3 in s, -3, -1/2? -1/2 Let o(z) = -z**2 + 10*z + 2. Let f be o(11). Let d(m) = -m - 14. Let b be d(f). What is the nearest to -0.2 in 0, b, -0.3? -0.3 Let n = -0.7 - -1. Let u = -0.7 + n. Which is the nearest to -0.1? (a) 2/5 (b) u (c) -1 b Let i = 32.2 - 32. Which is the nearest to 1? (a) -0.5 (b) 0.21 (c) i b Let q = 0.14 + 0.06. Which is the nearest to 1? (a) -3 (b) q (c) 4 b Let w = 335 - 332. Let a = -7 - -5. What is the nearest to 1 in -0.2, a, w? -0.2 Let q be 1 - (-22)/14*-102. Let b = 159 + q. Let u be (0 + -2)/(4/10). What is the closest to 1 in u, b, 1? 1 Let p(i) = i**2 - 2*i - 15. Let d be p(5). Let t = 2 - 1.5. Which is the nearest to d? (a) 0 (b) t (c) -0.4 a Suppose -4*x + 2*f - 5 = -5*x, x + 3*f - 6 = 0. Which is the nearest to -2? (a) -3/7 (b) 0.1 (c) x a Let l = -2.98 - 0.02. Let y = -2.94 + -1.06. What is the closest to 0 in l, y, -5? l Let c = -0.19 - -0.69. What is the closest to -2 in c, -0.07, -4/3? -4/3 Let m = 0.035 + -3.035. Which is the nearest to 1? (a) 1 (b) 0.06 (c) m a Suppose k + 0*k + 4*j = -14, -2*k + 8 = -4*j. Let x be 1/k*(3 - 7). Let i be (-20)/6 - (-6)/x. What is the closest to 0 in -1, i, -4? i Let m be ((-30)/(-20))/(-2 - -8). Let o = -0.07 - -0.57. What is the closest to 1 in m, o, -3/8? o Let j = 16 + -97/6. Let z = 0.5 + -0.3. Let v = 0.8 + z. What is the nearest to v in j, -0.2, 4? j Let i = 0.6 - -0.4. Let q = i + -0.7. Suppose -4*w = -3*w - 5. Which is the closest to 0? (a) w (b) 1/4 (c) q b Let b = -1 + 1. Let u = -38.9 + 36. Let c = -3 - u. What is the nearest to b in -1, -4, c? c Let j be (-20)/(-30)*(-6)/(-4). Which is the nearest to -2? (a) -0.4 (b) j (c) 0.3 a Let g be (-8)/18 + 4/6. Which is the nearest to 1/4? (a) g (b) 0.1 (c) 1/3 a Suppose 4*r - 3*a + a = 22, 4*r - 10 = -2*a. Suppose r*k + 11 = -5*m - 44, -2*m = -10. Let z be (6/15)/((-2)/k). What is the closest to 1/3 in -4/9, z, 0.1? 0.1 Let l = 8 - 7. What is the nearest to -1/6 in -2, 0.5, l? 0.5 Let t(z) = z - 1. Let j be t(2). Suppose 64 = 5*r + 214. Let f = -34 - r. What is the closest to j in -0.06, -2/13, f? -0.06 Let v = -10 + 6. Let n = 3 + v. What is the closest to 1/5 in n, 0.3, -2/11? 0.3 Let o = 0.77 - 0.87. Which is the closest to -3/5? (a) -0.5 (b) -13 (c) o a Let a = 0.2 - 0.5. Let q = a + 0. Let m = -288/5 + 58. What is the nearest to -1 in q, m, 1? q Let d = -7 - -6. What is the nearest to d in -0.5, 2, -5? -0.5 Let j = -4.1 + 1.2. What is the nearest to 0.1 in 1, -5, j? 1 Let n(f) = -f - 5. Let x be n(0). Let i = 0.24 - -0.06. Which is the nearest to 0.1? (a) x (b) i (c) -2/7 b Let c be ((-21)/12 - -2) + 22/(-24). What is the closest to 2 in 2, -1, c? 2 Let b = 18 - 15. Let k = -0.35 - 0.05. Let g = 4.4 - 1.4. What is the closest to g in b, k, -2/3? b Let p = -0.3 + 0.2. Let u = 69 - 209/3. What is the nearest to u in -0.5, p, 5? -0.5 Let p = 9 - 12. Let r = 32.4 - 32. Which is the nearest to p? (a) -2/3 (b) r (c) -4/3 c Let s be 6/(-45) - (-112)/390. Which is the closest to 2/3? (a) s (b) -0.5 (c) 1/7 a Let j = 1/3 - 0. Let y = -3.02 + 3.32. What is the nearest to j in 0.4, -1, y? y Let r = -78.9 + 75. Let k = r + -0.1. What is the closest to -0.4 in -1, k, 1/4? -1 Let u = 0.06 - -3.94. Let w = 13 - 13.4. Let x = 11 + -8. Which is the closest to 0.1? (a) w (b) x (c) u a Let z = 3.3 - 0.3. What is the closest to -1/2 in 1/3, -3, z? 1/3 Let u = -13.3 - -13.3. Let h = -0.2 + 0. What is the nearest to -1/4 in h, u, 6? h Let d = 3 + -3.8. Let v = d + -0.2. Which is the closest to -1/3? (a) v (b) -0.1 (c) -2/9 c Let b = 3.8 + -1.8. What is the nearest to -0.2 in -0.4, b, -0.3? -0.3 Let i = 556/935 - -1/187. What is the nearest to -0.2 in -0.1, 1/9, i? -0.1 Let u = 36/95 - -2/95. Suppose -n + 6*w - 28 = 11*w, -2*w = -n + 7. Which is the nearest to n? (a) u (b) -1 (c) 5 b Let m be (-38)/154 - (-14)/(-77). Suppose 5*u = u - 260. Let h = 581/9 + u. Which is the closest to -1? (a) m (b) -1/4 (c) h c Let q = -7/8 + 13/8. Let w = -0.39 + -0.01. Let n = -0.5 - w. Which is the closest to n? (a) -0.4 (b) 2 (c) q a Let a = -1 + 1.2. Let o be 3/(-9) + (-34)/6. Let v = o + 3. What is the nearest to a in 4, -4, v? v Let x = -0.59 - -0.09. What is the closest to 2 in 2, x, -2? 2 Let m(d) = 3*d + 14. Let p(z) = -2*z - 9. Let o(l) = -5*m(l) - 8*p(l). Let h be o(-6). Which is the nearest to -0.3? (a) 3 (b) h (c) -0.3 c Let k = -3 - -4. Let r = -7 + 6. Let x = r + -3. What is the closest to k in 0.5, -1, x? 0.5 Let w(l) = -3*l**2 - l - 2. Let g be w(2). Let p be (8/20)/(g/410). Let z = p + 10. What is the nearest to -1 in 5, -0.1, z? z Let h = -4.8967 - -0.0067. Let j = h + -0.11. What is the nearest to 1 in 2/7, 2/3, j? 2/3 Let c = -143 + 150.3. Let p = c + -7. Let o = 55 - 53. What is the nearest to -2 in p, 2/5, o? p Let j be 17/17 + (-21)/19. What is the closest to 0.2 in j, 0.2, -2? 0.2 Let l be (-4 + 125/30)*3/(-1). Let h be 2/4 + 66/4. Let p = h - 137/8. Which is the nearest to l? (a) -2 (b) p (c) 4 b Let r = 16.3 + -16. What is the closest to 3 in 0.5, r, -1? 0.5 Suppose 2*t + 18 = 5*t. Suppose -4 = 4*r + 5*n, 0 = -2*r + t*n - 2*n - 2. Let m = -4.6 - -5. Which is the closest to -2/9? (a) 3 (b) r (c) m c Let p = -50 + 149/3. Which is the nearest to -0.2? (a) -2 (b) p (c) -0.2 c Let k = 229 + -4353/19. What is the closest to -0.1 in -2, k, 0.06? k Let d be 5/((-5)/2) - 1. Let t be 2/d*6/(-16). Let a = -27 + 109/4. What is the nearest to t in a, -3/2, -3/7? a Let x = -1.3 + 1. Suppose 0 = 6*b - 27 + 219. Let g be 1/(4/b) - -3. What is the nearest to 0 in g, -1, x? x Suppose -15 = 3*r, 4*o - 2*o + 15 = -3*r. Suppose o = -0*q + 3*q. Let i be 1/((-3)/(-13 + -2)). Which is the nearest to q? (a) 3 (b) i (c) 2 c Suppose 9*p - 12*p = -9. What is the nearest to 0.1 in 1/4, p, 2/3? 1/4 Let y = -2 - -7. Let k = -4.8 - 0.2. Let t = k - -1. Which is the nearest to 0.1? (a) y (b) t (c) -0.1 c Let f = 112 - 108. Which is the nearest to 0.1? (a) 3 (b) 0.5 (c) f b Let s = -1190/9 - -132. Let x = -0.5 - -0.2. What is the nearest to 0.1 in 4, s, x? s Let i be (-70)/(-12) + 2/12. Let t be (i/(-4))/(3/4). Let z = -371/90 + 39/10. Which is the nearest to 0.1? (a) t (b) 0.3 (c) z b Let s = 1 - 0. Let y = 19 + -18.7. What is the closest to s in -2/3, -2/7, y? y Let d = 1 + -5. Let w(n) = n - 3. Let o be w(0). Let q = 0 - 5. Which is the nearest to -0.1? (a) o (b) q (c) d a Let o = -4.6 - -2.6. Let a = -2 - 0. Let j = a - o. What is the nearest to -1 in j, -4, 4/5? j Suppose 0 = -5*t - 0*t. Suppose -5*l = -5 - t. Let p = 3 - l. Which is the closest to 0? (a) p (b) -1/6 (c) 5 b Let f = -0.9 + 0.4. Let d = 0.48 - -0.02. What is the closest to -0.1 in d, -0.2, f? -0.2 Suppose -2*x = 2*a - 50, 75 = 4*x - x - 5*a. Suppose -4*y = y + 5*u + x, 2 = -u. What is the closest to -1 in 0.2, y, -2/9? -2/9 Suppose 3*h = -3*s, 4*s = h - 0*s - 20. Let v be ((-1)/(0 - h))/2. Which is the closest to -0.1? (a) -1 (b) v (c) -2/11 c Suppose 0 = 5*b + 3*h + 24, 0*b - 4*b - 2*h - 20 = 0. What is the nearest to -1 in -0.5, b, -0.3? -0.5 Let h = 0.22 + 0.08. Let m = 0.04 + 0.06. Suppose 0 = 2*n - 7*n - 25. Which is the nearest to m? (a) h (b) -2/19 (c) n a Let t = 0 - -3. Let u be 2/4*(-3)/((-63)/12). Which is the nearest to u? (a) 0.1 (b) t (c) 1 a Let l = -15.93 - -16. Let z = -29 - -28.57. Let w =
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from {h: 2, y: 6}? 3/14 Three letters picked without replacement from {x: 2, w: 1, r: 1, u: 1, n: 1, t: 1}. What is prob of sequence wut? 1/210 Two letters picked without replacement from ffqfffff. What is prob of sequence qf? 1/8 What is prob of sequence qyyy when four letters picked without replacement from qyyqxyqxxyqxxyx? 2/273 Four letters picked without replacement from {g: 2, k: 1, v: 4, x: 1}. Give prob of sequence vkgx. 1/210 Three letters picked without replacement from ggpgggggggpppppp. Give prob of sequence ppg. 9/80 What is prob of sequence lrr when three letters picked without replacement from rtrkrkkktrmtrrl? 1/91 Four letters picked without replacement from jhhhhhnnjhjhjhjhhhhh. What is prob of sequence nnhj? 13/11628 Two letters picked without replacement from npnnpzqpppnnnqnnpn. What is prob of sequence pz? 1/51 Three letters picked without replacement from ezztaalc. Give prob of sequence tlc. 1/336 What is prob of sequence tr when two letters picked without replacement from {s: 1, r: 1, e: 1, p: 1, t: 2, i: 1}? 1/21 What is prob of sequence vpv when three letters picked without replacement from ppvv? 1/6 Four letters picked without replacement from jzpj. Give prob of sequence jjjp. 0 What is prob of sequence sm when two letters picked without replacement from {a: 1, y: 1, p: 1, s: 2, u: 1, m: 1}? 1/21 Two letters picked without replacement from {r: 1, b: 2, a: 1, t: 2, l: 1}. What is prob of sequence bb? 1/21 Two letters picked without replacement from zzztbbitbm. What is prob of sequence ti? 1/45 Calculate prob of sequence dy when two letters picked without replacement from adazyyhh. 1/28 Two letters picked without replacement from wwkz. What is prob of sequence wk? 1/6 Two letters picked without replacement from uumuuuuu. Give prob of sequence um. 1/8 Four letters picked without replacement from pecicippecteo. Give prob of sequence pitp. 1/1430 What is prob of sequence do when two letters picked without replacement from {d: 12, o: 3, t: 3}? 2/17 Two letters picked without replacement from {h: 1, i: 2, l: 6, v: 1, z: 2}. Give prob of sequence zh. 1/66 What is prob of sequence kdwu when four letters picked without replacement from {w: 5, k: 2, d: 10, u: 3}? 5/1938 Two letters picked without replacement from vovjo. Give prob of sequence vj. 1/10 Four letters picked without replacement from {c: 10}. What is prob of sequence cccc? 1 What is prob of sequence vf when two letters picked without replacement from fhivoooooi? 1/90 What is prob of sequence zvwi when four letters picked without replacement from wivvvvvwvyzz? 1/495 Two letters picked without replacement from {i: 2, h: 4, q: 10, l: 4}. What is prob of sequence hl? 4/95 Three letters picked without replacement from nddaynady. What is prob of sequence nya? 1/63 Two letters picked without replacement from hsihihhsishiioiiiiis. What is prob of sequence oh? 1/76 Two letters picked without replacement from dddldldddddadla. Give prob of sequence ld. 1/7 Two letters picked without replacement from kyay. Give prob of sequence ay. 1/6 Two letters picked without replacement from oqcqvsvsqcsqqvovvo. Give prob of sequence cs. 1/51 What is prob of sequence yy when two letters picked without replacement from {g: 1, y: 2, r: 4, f: 1, o: 2, e: 4}? 1/91 Calculate prob of sequence iw when two letters picked without replacement from {i: 2, w: 2, g: 2, f: 4}. 2/45 Four letters picked without replacement from {u: 2, g: 1, w: 1, m: 1, j: 1, e: 1}. Give prob of sequence ugme. 1/420 What is prob of sequence xm when two letters picked without replacement from {m: 1, x: 1, f: 1, r: 1, z: 1}? 1/20 Three letters picked without replacement from upsvspppusspsspsusup. Give prob of sequence sus. 28/855 Calculate prob of sequence vn when two letters picked without replacement from ynnnnynyvy. 1/18 What is prob of sequence xxuk when four letters picked without replacement from {k: 3, x: 5, u: 4}? 2/99 Three letters picked without replacement from nvpzx. Give prob of sequence npx. 1/60 What is prob of sequence ik when two letters picked without replacement from mnkhdhi? 1/42 Four letters picked without replacement from {q: 6, h: 4, f: 3}. Give prob of sequence qhhh. 6/715 Four letters picked without replacement from vvfvvrhf. Give prob of sequence fhff. 0 Two letters picked without replacement from qqtqqqtqkqqtqtqqt. What is prob of sequence qq? 55/136 Two letters picked without replacement from {e: 1, d: 2, w: 1}. What is prob of sequence de? 1/6 Four letters picked without replacement from kmmmhmkem. What is prob of sequence hmkk? 5/1512 Two letters picked without replacement from {g: 3, s: 3, j: 3, c: 6, d: 1}. What is prob of sequence gg? 1/40 Two letters picked without replacement from {e: 5, l: 7, f: 2}. Give prob of sequence ff. 1/91 Three letters picked without replacement from {j: 1, g: 2}. What is prob of sequence ggj? 1/3 Two letters picked without replacement from {t: 5, s: 3, f: 2, a: 5, n: 1, h: 4}. What is prob of sequence af? 1/38 Two letters picked without replacement from {n: 17, w: 3}. Give prob of sequence nw. 51/380 Calculate prob of sequence pp when two letters picked without replacement from poppoopppphpoopopp. 55/153 Calculate prob of sequence my when two letters picked without replacement from {m: 1, l: 1, y: 1}. 1/6 Four letters picked without replacement from {c: 9, v: 5}. What is prob of sequence cvvc? 60/1001 Four letters picked without replacement from uutnnnnxtntbbvn. Give prob of sequence nxvb. 1/2730 Calculate prob of sequence yy when two letters picked without replacement from yyyr. 1/2 What is prob of sequence eeh when three letters picked without replacement from eewehhtew? 1/21 Two letters picked without replacement from mma. Give prob of sequence mm. 1/3 Three letters picked without replacement from {u: 3, r: 2, d: 15}. What is prob of sequence rrd? 1/228 Two letters picked without replacement from qqqwwdiwqw. Give prob of sequence qw. 8/45 Calculate prob of sequence qvqv when four letters picked without replacement from qqqqqqqvvvqq. 2/55 What is prob of sequence ee when two letters picked without replacement from zwezzzzeeeeeezwzzz? 7/51 What is prob of sequence rr when two letters picked without replacement from {r: 5, u: 3, c: 2, s: 7, j: 3}? 1/19 Two letters picked without replacement from duuwpypuuduup. Give prob of sequence pw. 1/52 Two letters picked without replacement from jkkqjjkkqj. Give prob of sequence jk. 8/45 What is prob of sequence vva when three letters picked without replacement from {t: 2, v: 4, a: 4}? 1/15 Three letters picked without replacement from {j: 6, h: 1, p: 2, u: 2, g: 1}. Give prob of sequence guh. 1/660 Three letters picked without replacement from ooydyydy. Give prob of sequence odo. 1/84 What is prob of sequence tttd when four letters picked without replacement from {f: 5, d: 2, e: 5, t: 3, z: 5}? 1/9690 Calculate prob of sequence sg when two letters picked without replacement from {s: 2, h: 4, m: 3, g: 1}. 1/45 Calculate prob of sequence of when two letters picked without replacement from {t: 3, f: 1, h: 3, o: 2, x: 1}. 1/45 Three letters picked without replacement from {c: 6, i: 5, d: 1, b: 2, a: 2}. What is prob of sequence iic? 1/28 Three letters picked without replacement from {c: 1, d: 2, p: 1}. Give prob of sequence cdd. 1/12 Calculate prob of sequence vqv when three letters picked without replacement from vqqvvvvv. 5/28 Calculate prob of sequence vmvm when four letters picked without replacement from {i: 1, m: 4, v: 3}. 3/70 Two letters picked without replacement from {f: 1, z: 1, v: 1, k: 1, s: 1, q: 2}. Give prob of sequence fk. 1/42 Calculate prob of sequence ee when two letters picked without replacement from {e: 6, l: 4}. 1/3 Two letters picked without replacement from pgppppuyyppxpjx. What is prob of sequence pg? 4/105 What is prob of sequence nff when three letters picked without replacement from {f: 11, n: 2, y: 7}? 11/342 Calculate prob of sequence fiii when four letters picked without replacement from iiiiiffifi. 1/8 What is prob of sequence hmm when three letters picked without replacement from hggghghgmmmhmh? 5/182 Three letters picked without replacement from {o: 1, k: 10, u:
{ "pile_set_name": "DM Mathematics" }
/14)? -7/2 What is the value of 1848/70 - 13 - 13? 2/5 What is (-4)/2 - (-16 - -16 - (-4)/(-1))? 2 (-6)/(-100)*((-25)/(-30) - 1/6) 1/25 Calculate (-4 - -22) + 896/(-40). -22/5 3/(((-3)/95)/((-1504)/(-80) - 19)) 19 Calculate (17 - (-2 + 16)) + 29. 32 Calculate 1*16/40 - (4 - (-83)/(-5)). 13 Calculate (-2057)/(-6732) + (0 - (-6)/(-27)). 1/12 Evaluate (-1 - ((11 - 20) + 7))/((-2)/8). -4 What is the value of (-2222)/151096*(-8)/(-1)? -2/17 What is the value of (-2)/(-8) + 11/4 + 884/(-204)? -4/3 (-538)/(-807)*42/(-4) -7 What is (-282)/(-4465)*19*(-20)/1? -24 What is the value of ((-5)/2)/((-1470)/(-7644))? -13 Evaluate 3078/33345*(-1 - (-8)/3). 2/13 What is the value of 22/4 + (-2 - -1) + (-598 - -593)? -1/2 Evaluate ((-6)/(-9) - 13/24) + 20/20. 9/8 (-32 - -25 - 87/(-15))*(-10)/4 3 What is (23/(-46))/(68/16)? -2/17 Calculate ((-4)/11)/(5600/18480). -6/5 (896/14 - 44)*2/18 20/9 Calculate ((-180950)/9075 + 2/(-33))/(0 + 1). -20 What is the value of 1639/149 - 10/5? 9 What is the value of ((-300)/80)/(-3) + (2 - 7/2)? -1/4 What is the value of 6*(234/2574 + 37/(-165))? -4/5 Calculate 6/(-22) + 1359/(-99). -14 Evaluate (5 + (-16)/3)*(2 + (-248)/136). -1/17 222/(-20) - 22/2200*-10 -11 What is -6*((-5423)/174 + 30)? 7 ((-72)/405)/(13/195*10) -4/15 What is (-280)/(-375) - ((-4)/(-34) + 644/1173)? 2/25 What is the value of (-2)/(-2) - (116/7 - (-36 - -52))? 3/7 What is the value of (-3584)/(-210) + 7/(-105)? 17 What is the value of (-16)/(-144)*-3*7? -7/3 What is the value of (-83)/(-747) + (-145)/9? -16 What is the value of (2/20)/(-5 + 10 + 54/(-10))? -1/4 What is the value of 1950/(-117) + 32/(-24) + -11? -29 What is -13 - (-1182)/90 - 11/(-5)? 7/3 Evaluate ((-39)/(-2)*(-11)/33)/(2/(-8)). 26 What is the value of (-48)/(-42) - (-2812)/259 - 1*-4? 16 Calculate ((-19)/9)/(-19) - (-1)/(-3). -2/9 What is (2 - 10/4) + 9 + (-1658)/196? 2/49 Evaluate ((-156)/(-21))/((-266)/(-931)). 26 Calculate 231/(-189)*(-3)/1. 11/3 Evaluate (1/(10/(-12)))/(117/(343980/168)). -21 Calculate -11 + (-19)/((-7068)/4068). -2/31 Evaluate 31/2 - (-140 - -153) - 3. -1/2 ((-3)/(-3))/(-5 + -1 + (-282)/(-48)) -8 (-732)/66 - (-7 + (30/(-10) - 0)) -12/11 -69*(-37)/(-1110) - (-24)/10 1/10 What is 22/6 - (-72)/(-108) - (-17)/(-5)? -2/5 Evaluate ((-4146)/594 - -7)/(11/(-33)). -2/33 18*(1 - (-55)/(-50)) -9/5 Calculate ((-66)/44)/(39/208). -8 What is (-13 - (-320)/24) + (-14)/(-3) + 0? 5 (-9)/162*15*4/10 -1/3 (546/1365)/(1/(-20)) -8 What is ((-66)/(-50) + -1)*100/(-400)? -2/25 What is (-58)/(-812) + (-225)/14? -16 What is ((-75)/8 - -1) + (122 - 114)? -3/8 What is the value of ((-8)/12)/(3584/192)*8? -2/7 ((-3)/(-12))/(116/1740) 15/4 Calculate (-2223)/285 + 9/5. -6 55/616 - (-6)/48 3/14 What is (-9)/((-19)/((-494)/(-39)))? 6 What is the value of (-8)/(-2)*(18/(-48) + 1/(-8))? -2 Evaluate (3 + -9)*(1/(-4) - (-153)/476). -3/7 What is 22/(-198)*45/(-10)*22? 11 Evaluate -2 - (-7 - (10/4 - 2)). 11/2 What is the value of 2/(-2) - (14 - ((-655)/(-30) - 6))? 5/6 -8*(-7)/112*-34 -17 416/(-64) - (-3)/(-18) - -8 4/3 ((-319)/55 + -3 + 8 + -1)*-15 27 What is (48/(-15) - -3)*(9/2 - -3)? -3/2 Evaluate (5/(-17))/(1450/580). -2/17 Evaluate (714/(-595))/((21/(-10))/(-7)). -4 What is 5 + 424/(-40) - (2 + -8)? 2/5 4/(-8)*-2 - 11/(-198)*-39 -7/6 Calculate (((-1)/(414/(-2058)) - -1) + -6)*3. -2/23 What is the value of 4438/(-634) + -4*2? -15 -1*((-43989)/12298 - (-1)/13) 7/2 Calculate ((-14)/5)/(48/(-300))*(-8 - -10). 35 (-8)/(-84) + 1248/126 10 What is -4*(-18)/(-72)*7? -7 Evaluate (-12)/(-32)*-20 - (-11)/(33/24). 1/2 ((-63)/(-7) - 240/28)*14/20 3/10 Calculate 13 + (-65)/((-12675)/(-2520)). 1/13 1*(15 + 413/(-28))/(-1) -1/4 What is the value of -61 - -59 - (-12 + 2)? 8 What is the value of ((-11)/((-385)/50))/((-145)/1015)? -10 Evaluate 16*((-2)/22)/(168/(-924)). 8 What is -15*((-28)/22 - 45/(-165))? 15 Evaluate (4/18*48)/2*(203 - 200). 16 Evaluate 169/12 + ((56867/(-228))/41 - -6). 14 Evaluate 9/216*117 + (-3 + 0)/(-24). 5 What is the value of 0 - ((-7)/14*-12 + 212/(-35))? 2/35 Calculate (-637)/(-195)*-5 + 15 - 148/(-30). 18/5 Evaluate (-2)/(-7) - 1188/189 - 14/(-2). 1 6/(-27)*-2 - (-38 + (-10880)/(-288)) 2/3 Evaluate 264/(-440)*165/(-9). 11 Calculate (-22)/(-4)*((-2600)/(-275))/(-26). -2 What is (-1508)/(-174)*9/(-24) + 2? -5/4 What is the value of 144/504*140/(-8)? -5 Evaluate 2*(-7)/4 + -115 + 38 + 82. 3/2 Evaluate (-8)/7 - -52*34/3094. -4/7 What is (-4207)/55292*(-24)/21? 2/23 Evaluate (-2)/((-32)/10 - -4)*(-216)/2880. 3/16 What is the value of -270 - -252 - 19/(-1)? 1 56/40 + (-8424)/260 + 2/1 -29 Evaluate (7 - 2)/(450/(-46) + 10). 23 Calculate -5 + 94/14 + -3 + 1. -2/7 Calculate (10 + 715/(-91))*(-12)/15. -12/7 What is the value of 5 - (273/18 + (-5)/(-6))? -11 What is the value of 720/50 + -1*70/7 + -2? 12/5 Evaluate 0 + -1 + (1782/(-77))/(-27). -1/7 Evaluate 6/20*-2*(-2 + 3/(-1)). 3 3 + 1 + 4 + (-20 - -18)*8 -8 (2 - (-32)/(-7))*(90 + -83) -18 ((-210)/(-280))/(2/(-10) - 2319/(-120)) 2/51 Calculate 2 + 2 - ((0 - -10) + -15). 9 9/(-12)*(4/(-7))/(54/126) 1 721798/(-28776) - 50/(-2) -1/12 What is (7 + -5 + 28)/(-7) + 6? 12/7 Calculate (-4)/(-1) - 3 - (-525)/(-140). -11/4 Calculate (-3 - -1)*2*24*20/640. -3 Evaluate -1 - (-22)/18 - (-15 + 732/54). 5/3 What is ((-9)/(-16))/(23/184)*(-8)/(-2)? 18 Calculate (6/4)/(945/252) + (-38)/(-5). 8 ((-3)/18)/((-42)/36) 1/7 What is 9 + 2/(-308)*1402 + (-2)/(-7)? 2/11 Evaluate (-2 - 62/(-4))*6/(-9). -9 Evaluate (336/(-392))/((-50)/(-280)). -24/5 What is the value of 36/20 + (-652)/340? -2/17 (-266)/(-18) - ((-171)/19 + 158/18) 15 Calculate -5 - (20/(-30))/(2/11*1). -4/3 Calculate ((-49)/(-14))/1*7/14*16. 28 244*(-3)/(-18) + 125/(-300)*4 39 What is 646/(-272)*8 + 46? 27 Evaluate -18 - ((-16)/(-104) - 96/(-52) - 0). -20 ((-512)/48)/(-32)*(-3)/4*2 -1/2 What is 776 + -788 - 44/(-1)? 32 What is the value of 452/(-30) + 655/9825? -15 What is (-30)/(-18)*15/(-100)*20? -5 What is the value of -3*8/6*((-77)/594)/7? 2/27 What is the value of -23 - (-7 - -959)/(-34)? 5 Evaluate ((-8)/120)/((-126)/135). 1/14 33217/3304 - 11 - 8/(-14) -3/8 (0 - (-4)/14) + 40216/(-28791) -10/9 Evaluate ((105 - 113)*(-1)/16)/(6/(-18)). -3/2 What is the value of 24 - 18/(-36)*0? 24 ((-10)/(-8))/(59535/9072) 4/21 (-136 + 143)*(-8)/6*234/(-91) 24 What is the value of (-14 + 15)*56/(-24)*(-3)/(-21)? -1/3 What is the value of (-56 - -90 - 21) + (-70)/4? -9/2 Calculate ((-1)/5)/((-343)/(-1155) + 20/(-60)). 11/2 What is 4242/(-909)*((-2)/3 + (-7)/3)? 14 Evaluate 1809/(-1206)*(-1)/2. 3/4 Evaluate (-1 - 44/(-36))*72. 16 Calculate (102/344 - 300/6450)*68. 17 -6*((-10)/3 - -1) - -15 29 What is the value of 216/(-16)*124/(-93)? 18 (-2)/26 - (-18 - (-129700)/7280) 3/28 What is 14 + ((-7)/(-98)*-4)/((-10)/(-70))? 12 Evaluate (2616/(-120) - -20)*(-1)/(-6). -3/10 What is 8/14*71/((-62054)/(-161))? 2/19 (-13)/(13/4) - ((-405)/(-21))/(-5) -1/7 Evaluate (2 - -2)/(-24 + 1820/78). -6 Evaluate (-23)/(-45) - (-80)/(-200) - 5/(-117). 2/13 What is 5 + 5 - 2379/234? -1/6 What is ((-4590)/(-187) - 24) + 40/(-66)? -2/33 Calculate 0*(2 + (-3)/2) + 38657/1333. 29 What is (488/(-61) + (-6)/(-1))*10/(-4)? 5 What is 376/(-38) - -1 - (230 + -239)? 2/19 What is (-64)/(-14) - (-9 + (-25)/((-525)/294))? -3/7 What is 0 - 6 - (-6 + 44/99)? -4/9 What is the value of 7/294*-2 + 4/(-14)? -1/3 What is the value of (-126)/216 + (-120)/(-144)? 1/4 ((-70)/112)/((-80)/576) 9/2 Calculate 182/42 - (128/(-24) + 5). 14/3 What is 22/(-275) + (-1115)/125 + 4? -5 Calculate (11 + 210/(-20))*3 - (0 + -6). 15/2 Calculate 21/9 + 203*94/(-987). -17 (-10)/12*(99/275)/((-57)/(-95)) -1/2 What is the value of (-284)/(-923)*(-26)/(-76)? 2/19 What is the value of (6 - 3) + 22*(-5)/40? 1/4 Calculate 66/(-22)*((2 - 0) + 396/(-54)). 16 Calculate 496/(-5376) + 10/(-105). -3/16 Evaluate 41/21 - (102/119)/(12/4). 5/3 What is (25/(-6))/(((-71)/639)/((-1)/(-30)))? 5/4 ((-190)/(-114))/((-1)/6) -10 Calculate (-33)/11 + ((-57)/(-6))/(36/24). 10/3 Calculate (-4 - 378/(-70))*2*-5. -14 24157/(-2842) - -2*(-2 - -3*1) -13/2 What is the value of ((-14)/(-4))/(((-3)/21)/((-8)/(-28)))? -7 What is the value of 2/(-32)*(-676)/169? 1/4 (182/546)/((-5)/(-840)*-10) -28/5 What is (-28371)/1127 + 7 + 18? -4/23 Calculate ((-87)/(-5278)*52)/(4/126). 27 What is (-16)/6 - ((-1372)/42)/(-14)? -
{ "pile_set_name": "DM Mathematics" }
-1/3 in m, z, -0.4? -0.4 Let c = 0.019 - -0.051. What is the closest to -1/2 in 0.2, 1, c? c Let d = 11/6 + -3/2. What is the closest to -7 in 0.1, 1/5, d? 0.1 Let w = 0.04 - -0.16. Let t = 5 - 6. Which is the closest to 2/7? (a) 2/3 (b) w (c) t b Let l = 2 + -4. Let g = 2.1 + l. What is the closest to g in 0.3, 0.2, 1/3? 0.2 Let y be 0/2 + -8*3/(-84). What is the closest to 0 in 0, y, -4? 0 Suppose 3*w - 4*k = -13, -2*w + 4*k = 1 + 9. Which is the closest to -0.1? (a) -4/7 (b) w (c) -3/4 a Let m = 6 + -3. Let t = 0.04 - 2.04. Let j = 2 + t. What is the closest to j in m, -0.3, -0.1? -0.1 Let n = -2 + 1.8. Let w be -9 + 6 + 26/8. What is the nearest to 1 in w, 4/3, n? 4/3 Let p = -0.06 - -0.1. Let w = p - 0.44. What is the closest to w in 5, 2/5, 0.3? 0.3 Suppose 2 = 3*f - 7. Let b(o) = o**3 + 8*o**2 - 10*o - 4. Let x be b(-9). Let v = -0.2 + -0.1. What is the closest to -0.1 in x, f, v? v Let m = 0 - -0.1. Let j be ((6/(-1))/(-3))/4. Let o = 1 - j. Which is the closest to m? (a) -0.5 (b) o (c) 2 b Let i be -2*15/(-12)*2. Suppose 0 = -i*v + 12 + 18. Suppose 3*z + 3*q - v = 0, 3*z = 5*q - 2 - 8. Which is the closest to z? (a) 1/4 (b) -5 (c) -4 a Let z = 377/5 + -75. Which is the nearest to z? (a) 0 (b) 0.5 (c) 2 b Suppose 2*d + 0 - 6 = 0. Let p = 0 + d. Suppose 7*v + 18 = -2*s + p*v, 5*s - 15 = 2*v. What is the nearest to -1 in s, -5, 4? s Let d = 24 + -21.5. Let k = 2.6 - d. What is the nearest to k in 0, -2/3, -5? 0 Let o be -6*((-9)/6)/(-3). Let l be (-1)/(-2) - (-1)/o. Let d = -0.05 - 0.35. What is the nearest to -3 in -3, l, d? -3 Let v = 0.5 + -1.5. Which is the closest to 1? (a) -3/7 (b) v (c) 5 a Let v be ((-10)/(-25))/((-7)/5). Let y be 34/(-8) + (-1)/(-4). What is the closest to 2/5 in y, 2/5, v? 2/5 Let y = -1 + 0.95. Let h = y + 0.35. Which is the closest to -1? (a) h (b) -3 (c) 2 a Let y = 0.37 + 2.68. Let u = -0.05 + 0. Let l = u + y. What is the closest to 2/7 in -3, l, -2? -2 Suppose 0 = 6*m - m. Let c(q) = q**3 + 8*q**2 + 1. Let x be c(-8). Let f = x - 0. What is the closest to f in m, 0.2, 1/3? 1/3 Let d be (-6)/(((-20)/(-4))/(-1)). What is the closest to d in -0.4, -0.5, 0.2? 0.2 Suppose -5*p - 1 + 19 = -2*g, -4*g - 16 = 0. Let i(x) = -1 + 3*x - 5*x**p - 5*x + 3*x**2. Let m be i(-1). Which is the closest to 1? (a) -3 (b) 0.1 (c) m b Let m = -0.4 + 0.33. Let y = -0.37 - m. Let z be 40/18 + 2/(-1). Which is the closest to 0? (a) z (b) -0.5 (c) y a Suppose -6*w = -2*w + 4. Suppose 4*r = t - 3, 3*r + 0 - 4 = 2*t. Let o = t + 3. Which is the nearest to w? (a) o (b) 0.1 (c) 2/11 a Let n = -0.2 - 0. Let j = -0.12 - n. Let t = j + 0.02. Which is the nearest to t? (a) 4 (b) -1 (c) 1 c Let t(u) = -u**3 + 4*u**2 - u + 1. Let q be t(4). Let m = q + 5. Let w be (-4)/(-6) - (-1 + m). Which is the nearest to w? (a) 0.3 (b) 2/15 (c) -0.5 c Let v = -7.8 - -8. Let w(i) = 3*i**2 - i - 1. Let p be w(-1). Let c be 3*(2 - 15/7). What is the nearest to v in 1/5, c, p? 1/5 Let t be (3/(-2))/((-5)/(-2)). What is the nearest to 0 in -0.06, t, -2? -0.06 Let g = 2.8 + 0.2. Which is the closest to 1/2? (a) g (b) -3 (c) 0.1 c Let y = 6 - 2. Let j = -4.2 + y. Let l = 372/5 + -75. Which is the closest to 0? (a) 4 (b) j (c) l b Let s be (-2)/6 - (-10)/(-10). What is the nearest to 0.1 in -2, s, 2/3? 2/3 Let l = 0.42 + -0.02. Let q = l + -0.9. Let t = -0.1 + 1.1. Which is the nearest to -0.1? (a) -3/5 (b) q (c) t b Let x be (-4)/(-6) - (-2)/(-4). Let t be (-3)/9 - (70/(-15) + 4). What is the closest to t in -1, x, 0.3? 0.3 Let q = -1.7 + 0.7. Which is the nearest to q? (a) 5 (b) 2 (c) -0.2 c Suppose o + 2*o = -5*g, 3*g - 5*o = 0. What is the closest to g in 0.02, 4/5, -1/2? 0.02 Let s be 1/(-10) - 5/(-10). Let d(z) = -z**3 - 3*z**2 - 3*z - 1. Let t be d(-2). Let a be t*5/((-70)/4). What is the nearest to -1 in a, s, 1? a Let g = 77 - 76. What is the nearest to 0.1 in -1, g, -5? g Let x = -2.2 - -2.1. Which is the closest to x? (a) -2/9 (b) -9/4 (c) -0.4 a Let g = 1.05 + -0.95. Let f = -4 + 2. Which is the nearest to g? (a) -0.4 (b) 0.5 (c) f b Let a be ((-6)/(-96))/((-2)/4). What is the closest to 0 in a, 3, 4? a Let s = 0.9 - 4.7. Let m = -0.8 - s. Let r = -0.7 + 0.4. What is the closest to 0 in r, 2/13, m? 2/13 Let t(x) = -x**2 - 6*x**3 - 2*x + x**3 - x**2 - 1. Let w be t(-1). What is the nearest to -1/5 in w, 4/3, -3? 4/3 Let q be (-44)/(-12) - 8/2. Let f = -0.02 - 2.98. What is the nearest to 1 in q, f, 4? q Let i be 6/(-12) - 10/(-4). Let x be 7/i*(-1)/(-7). Which is the nearest to -1? (a) 0.2 (b) -0.3 (c) x b Let k = 66.9 + -67. What is the closest to k in 0, 6/7, 4/5? 0 Let d = 3.01 - 0.01. Let i = 8 + -4. Let v = i - d. What is the closest to 2 in v, -2, 2/13? v Let w = 0.02 - -4.98. Let c = 0 - 1. What is the nearest to c in -1, 1, w? -1 Let y be (-4)/((-56)/46) + -3. Let n = -0.3 + 0.2. Let w = -7/6 - -2/3. Which is the nearest to n? (a) w (b) y (c) -4 b Let n = -6.4 - -5.4. Which is the closest to -1? (a) -3/2 (b) n (c) -0.3 b Let q be 1*1/((-26)/4). Let m = 20/3 + -31/6. What is the nearest to -2 in m, q, 0.5? q Let y = 2.113 - 0.113. What is the nearest to 1/4 in -1, 0.1, y? 0.1 Let m(p) = 4 - 4 - p. Let f = 17 + -21. Let a be m(f). What is the nearest to 1 in 1/8, a, 3? 1/8 Let z = -1.6 + 3.6. Which is the nearest to 0? (a) z (b) -5 (c) 4 a Let i = 0.3 + -0.4. What is the nearest to 2/3 in i, 4, -2/9? i Let k = 0.2 - -0.3. Suppose 5*d + 2*h = -0*h - 23, d + h = -7. Let i be d + 7*28/68. Which is the nearest to -1/3? (a) k (b) 0.2 (c) i c Let o = 8 + -1. Let f = 7 - o. Suppose w + u - 4 = f, w + 4*u - 16 = -0*w. Which is the nearest to -1? (a) 0.3 (b) 2 (c) w c Suppose 3*z + 5*o + 196 = -133, z = 3*o - 133. Let t = -1061/9 - z. What is the nearest to -0.2 in 0.2, 4, t? t Let w = -3 + 2.9. Let m = 28 + -28.1. What is the closest to m in -1/3, w, -0.2? w Let u = 1 - -10. Let i = u - 8. Suppose p - 9 = -4*t - 4*p, -5*p = -t - 29. What is the closest to -1 in i, t, -0.4? -0.4 Let p = 0.022 - -0.978. Which is the nearest to p? (a) 4 (b) -4 (c) -3 a Let u = 127 - 126. Which is the closest to u? (a) 7 (b) 0.2 (c) 2/3 c Suppose 2*z = -2*z + 20. Let k = 13 - 9. Let u = -3 + k. Which is the nearest to u? (a) 3 (b) z (c) 4 a Let u = 2/15 - 4/5. What is the closest to -1 in 1/7, 5, u? u Let p be -3*1/(-6)*32/(-24). Suppose 5*w + 6 - 16 = 0. Let o = w + -1. Which is the nearest to 2/7? (a) o (b) -0.1 (c) p b Let i = -1 + -4. Let h be 6/40 + 2/i. Let u be ((-4)/10)/(6/(-10)). Which is the nearest to h? (a) 1 (b) u (c) 0.4 c Let z(k) = k**2 + 9*k - 4. Let i be z(-9). What is the closest to -2/3 in 0, 0.5, i? 0 Let z = 0.3 - 0.4. Let v = -11 - -16. What is the closest to z in v, -4, -3? -3 Suppose 2*p + 34 = -4*m, -20 = 3*p + 2*m + 15. Let t = 16 + -4. Let n = p + t. Which is the closest to 0.1? (a) -4 (b) n (c) 2/13 c Let u = 128 + -128.2. What is the closest to 0 in 1/3, 1, u? u Let o = -10.1 - -10. What is the nearest to 1 in o, -4, 1? 1 Let j = 73/136 - 7/17. What is the nearest to 1 in j, -1, 4? j Let m = 4 - 3.9. Let w = -241/4 + 60. What is the closest to w in 3/8, m, -0.5? -0.5 Suppose -3*u = -l - 30, -2*l + 3*l + 30 = -5*u. Let s be l/(-54)*1/5. What is the nearest to -1 in 0.4, -1, s? -1 Let c = -0.1 + 2.1. What is the nearest to c in 2, -1/5, -7? 2 Let m = -109 - -108.9. Let d = 3 + -2.7. Which is the nearest to 0? (a) m (b) 2/3 (c) d a Let c be 1/2*(-4)/3. Let y = 16 - 8. Let l be 39/(-12) - 6/y. What is the nearest to -0.1 in 0.3, c, l? 0.3 Let z = 32/15 - 9/5. Let b = 1 - 1. Let m = 2 + -2.2. What is the closest to z in b, m, 2/11? 2/11 Let z = -12 + 10. Which is the nearest to 1/4? (a) -5/6 (b) z (c) -4/5 c Let g be 2*(100/8)/(-5). What is the closest to 1/4 in -3, -2, g? -2 Let t = -3 + 3.1. Let p = -0.2 + -0.3. Let d(v) = -v - 2. Let j be d(-2). What is the nearest to j in p, t, 5? t Let f = -92.1 - -92. What is the nearest to 0.1 in -4, f, -17? f Let h = 0 + 3. What is the nearest to h in 2/7, -0.5, -2/7? 2/7 Suppose 17*f = 13*f - 16. Let k be (3/(-90))/(2/(-5)). Let p = -19/84 + k. Which is the closest to -1/3? (a) f (b) -2/11 (c) p b Let y(a) = -2*a + 16. Let k be y(12). What is the closest to -1 in 0.1, k, -3? 0.1 Let d = -4.5 + 4.1. What
{ "pile_set_name": "DM Mathematics" }
s, j - 6 = -v*s for j. 0 Let q = -29 + 21. Let r be (-1)/(((-1)/3)/(-7 - q)). Suppose r*x + 11*x = 42. Solve 4*v + 3*j - 5 = 0, x*v - 3*j = 6*v - 3 for v. 2 Let t = 19999 - 19994. Solve a - 3*o + 7 = 0, 4*a + 8 = 7*o - t*o for a. -1 Let l(p) = p**3 + p**2 - p + 21. Let v(a) = 4*a - 68. Let y be v(17). Let j be l(y). Solve -3*s + 9 = u, -3*u + s = -2*s + j for u. -3 Suppose 410 = 3*t + 2*t. Suppose 11*s + 60 = t. Suppose 9 = 3*k - 6. Solve 3*a = w - s - 13, -a = 2*w + k for a. -5 Let t be (3 - (-403)/(-155))/(((-2)/5)/(-2)). Solve 3*m - 1 = 6*m + 4*i, -i = -t*m + 3 for m. 1 Let f(h) be the second derivative of 13*h**3/6 - 13*h**2 + 52*h. Let r be f(2). Solve -5*y + r*y + j + 6 = 0, -5*j = -5*y - 10 for y. 2 Let s = 5 + -1. Let k(v) = -v**2 - 19*v - 66. Suppose d - 2*o = -20, 5*d - 2*o + 7*o + 55 = 0. Let z be k(d). Solve -6 = 3*j - 5*j + 2*p, -z*j = s*p - 4 for j. 2 Let q be ((-2)/6)/(2/(-12)). Let c(i) = -121*i**2 + 245*i - 3. Let k be c(2). Solve -k*v + 5*m = q*v, 4*v = 2*m - 6 for v. -3 Let o(q) = -254*q + 3307. Let i be o(13). Solve 7*b - p = 11*b - 9, -i*b - 4*p = -14 for b. 2 Suppose -2*s = 4*x - 8, 11 = 5*s - 2*x - 9. Solve -31 + 23 = 2*m + 2*q, -m - s = -4*q for m. -4 Let k be 2/(-3) - 4/(-6). Suppose v + 10*c - 5 = 5*c, 5*v + 4*c = 4. Suppose v = -15*w - 9 + 39. Solve w*q - 2*x - 6 = -k*x, 10 = 3*q - 2*x for q. 4 Let b be (-2)/((-2)/((-2)/(-1))). Suppose -256*j = -262*j + 24. Suppose 0 = j*t - 2*k - 52, t = -4*t - 5*k + 50. Solve 2*a + 6 = -b*g + 5*g, 4*a + t = -g for a. -3 Let s = -7618 - -7618. Solve g - 18 = -4*r, -3*g + 0 - 6 = s for r. 5 Let r be (4/(-6))/((-32)/7440). Let q = r + -152. Solve -5*k - 8 = -4*j, q*j + k - 6 = -4*k for j. 2 Let x be 4 - (-1 - -1) - -2. Let b be 62*(3 + (-35)/14). Let a = b - x. Solve a = -3*i - 5*k, 0 = 5*i - 0*k + 4*k + 20 for i. 0 Let j = 211 - 190. Let x(g) = g**3 - 22*g**2 + 21*g + 2. Let k be x(j). Solve 2*q + 2 = 0, v = k*q - 5*q - 2 for v. 1 Let u(n) = 8*n - 121. Let b be u(20). Let x be (-36)/63 + b/7. Solve -x*h + 3*d = 0, -3*h + 5 = 2*h - 4*d for h. -3 Suppose 12*c - 16*c - 5*d = -16, -2*c + 8 = -3*d. Solve 0 = -z - 5*f - 11 + 10, 4 = -c*z + 5*f for z. -1 Let i be (-34225)/(-1295) + (-8)/(-14). Solve -3*k + i*h = 32*h - 17, 2*k - h = 7 for k. 4 Suppose -2*g = -3*z, -5*z + 237 = -5*g + 247. Solve -3 = -5*u + 5*r + 2, -5*u + 4*r + g = 0 for u. 2 Let z = 3 - -20. Let t be (-8)/(-32) - z/(-4). Suppose 2*f + 29*g = 25*g + 40, -5*g = -4*f + 28. Solve -f = 4*q, t*b - 9 = 3*b - 2*q for b. 5 Let f be (1 - 2)*-1 - 0 - 11. Let j(v) = -v**2 - 12*v - 18. Let s be j(f). Solve -4 = -s*i - 2*u, -1 - 4 = 2*i + 5*u for i. 5 Let b be (-6)/4*((-30)/(-8))/(915/(-4880)). Solve -5*i - 54*z = -55*z + b, 2*i + 25 = 3*z for i. -5 Suppose 11*w + 11745 = -18*w. Let l = -401 - w. Suppose 8 = 5*j - j. Solve 0 = -3*f - l*x - 1, -x + 1 - j = 0 for f. 1 Let o be (-3 - (-12 + 9))/(-2). Solve -5*p + 15*j = 19*j + 4, o = -6*p - 5*j - 4 for p. -4 Suppose 285 = -5*r - 2*s - 2*s, 5*r = -3*s - 280. Let x = -49 - r. Solve 3*h - y = -2*h - x, 2*y - 8 = 0 for h. 0 Let i be (-3 - -215)*(-12)/(-16)*-1. Let c be (53/i)/((-1)/6). Solve -2*n - 10 = 0, c*g - 35 = 6*n - n for g. 5 Let h(g) = -44*g - 70. Let f be h(-5). Suppose 20*l = f + 50. Solve l = -4*n - 0*x - 2*x, -2*x + 14 = -4*n for n. -3 Let k(r) = r**3 - r**2 - 10*r - 9. Let m be k(-3). Let n(t) = -t**2 - 13*t + 30. Let u be n(m). Solve -d + 3*o + 15 = u, d - 5*o - 23 = -0*o for d. 3 Let c(b) = -b**2 + 6*b + 12. Let v be c(6). Let r(m) = m - 1. Let y be r(4). Let s(k) = -19*k + 194. Let o be s(10). Solve 4*p - 2*q - v = -o*q, 0 = -y*q for p. 3 Let z(p) = -72*p - 792. Let f be z(-11). Solve f = -2*c - h - 3, 5*c + 10*h + 9 = 9*h for c. -2 Let x = 576 - 369. Let c = 212 - x. Solve -3*g + f + 5 + 0 = 0, 5*g - 5 = c*f for g. 2 Suppose 4 = n - 0. Let r be 117/(-18) + 2/n. Let v be (-4)/r + 2/((-12)/(-14)). Solve -v*k = -9, -w - w + k = -3 for w. 3 Let o(g) = 32*g + 11*g**2 - 8*g**2 + 27 - 62*g. Let f be o(9). Solve a + w + 9 = f, 34 = -3*a - 4*w + 3 for a. -5 Let z = 26 + -22. Let g be 3 - (z - 4*(-4)/(-16)). Suppose -h - 3*h + 13 = v, -v + 4*h - 3 = g. Solve 0 = 3*f + v*k + 22, -13 = 5*f + 4*k + 15 for f. -4 Let z(x) = 2*x**2 + 76*x + 83. Let r be z(-37). Suppose 0*d = r*d - 18. Solve -d*f + 3*g - 19 = 0, f + 0*g = -g + 3 for f. -2 Suppose -4*a + 7*a = 27. Let d = 8 + -9. Let k = 4 - d. Solve -4*f + 14 = k*u, -a = 4*u - 9*u + f for u. 2 Let v(m) = -5*m**3 - 2*m**2 - m + 1. Let g = 102 - 104. Let a be v(g). Suppose a = 14*b + 7. Solve -4*y + f = -f + b, -2*y - 4 = -4*f for y. 0 Suppose -l + 3*r - 14 = -2*l, -4*l - 3*r + 101 = 0. Suppose 25*a - l = 21. Solve -3*b - 3*m = -3, -a*b + 31 = b - 4*m for b. 5 Suppose -281*u - 91 = -294*u. Solve -f - q = -6, 0 = -4*f - q + 17 + u for f. 6 Let a = -11675 + 11677. Solve 0 = -a*l - 2*q - 16, 0 = -3*l + q - 15 + 3 for l. -5 Suppose c + 12 = -m, c = 4*c + 4*m + 40. Let p(i) = i**2 + 8*i + 3. Let b be p(c). Let h = 1301 + -1298. Solve -16 = h*q - 2*t, 5*q + 30 = 2*t + b*t for q. -4 Let v be -2*11/110 + 26/5. Suppose 2*m - v*m + 66 = 5*j, 4*j - 44 = 2*m. Solve j + 4 = 4*s - z, 0 = -3*s + 3*z + 21 for s. 3 Suppose h - 6 = r, 21*h + 6*r + 11 = 22*h. Solve h*y = 3*k + 37, 5*y + 17*k - 13*k - 9 = 0 for y. 5 Let u be -5 + 833/14 - (-2)/(-4). Let r = u + -49. Solve r*c - 19 = k - 0*k, 5*k - 9 = -c for k. 1 Suppose 57 = 5*k - 2*n, -180*n + 185*n = -5. Solve 5*q + k = 2*q + 5*x, 14 = -5*q + 4*x for q. -2 Suppose 1262 + 1023 = 46*f + 721. Solve f - 42 = -l - 2*d, -5*l + 4*d = -12 for l. 4 Let a(p) = -3*p - 6. Let m be a(-3). Suppose n = -m*n + 5*s + 9, s - 27 = -4*n. Solve b - n = -q, 0 = -q + 3*q - 4*b for q. 4 Let u(k) = 2*k**2 + 18*k. Let y be u(-14). Let h = y + -137. Suppose -4*f + 5*t - 3 + 43 = 0, -f - 2*t = -23. Solve 6 = -i + h*i, 5*d - 5*i + f = 0 for d. 0 Let a = 303 - 287. Suppose 6 + a = 11*m. Solve -2*h + 12 = m*h - 4*z, 5*z = -15 for h. 0 Suppose 0*o = 4*o - 16. Let g(h) = 2*h**2 - 9*h + 6. Let x be g(4). Suppose -o*u = x*y, 5*y + u = 3*u + 24. Solve 4*d = j - 6 - 7, y*j = -d - 16 for d. -4 Suppose -4398*b + 4391*b + 77 = 0. Solve 4*f = 5*l + b, 0*f - 3*f + 3 = -2*l for l. -3 Let q = 18 + -17. Suppose 0 = -2*o - 4, -3*r + 2*r = o - q. Suppose -5*s = k - 3 - 4, s = r*k + 11. Solve 5*u = -2*p - 5, u - s = -3*p + 10 for p. 5 Let b = 82 + -79. Let t(i) = -i**3 + 4*i**2 - 7. Let v be (2/(-6))/(2/(-18)). Let r be t(v). Solve -r*m = -b*k - m + 2, -8 = 4*k - 4*m for k. 2 Suppose 10 = 5*y - 2*d + 2, -y - 8 = 2*d. Suppose 12 = -3*v + 5*s - 17, -5*s = 13*v - 61. Solve j + 0*j + v*k - 1 = y, -5*k = 3*j - 2 for j. -1 Let w = -10801 + 10805. Solve w*f - 2*c = -5*c, -c = -3*f - 13 for f. -3 Suppose 3*v = 5*q + 7 - 16, 0 = 2*v - 2*q + 2. Solve -v*y - 10*f = -6*f, 0 = -3*y - 3*f + 6 for y. 4 Suppose -69*z + 101*z = 0. Solve 5*c - 2*c + 4 = -2*h, z = -2*c + 2*h - 16 for c. -4 Let a = 3522 - 3459. Solve -1 = -s, 68*s - a*s = -4*c - 3 for c. -2 Let n be (-72)/30*15/(-12). Suppose n*b - 105 = -45. Solve 0 = 5*a + 5*x - b, -4*x = 2 - 10 for a. 2 Suppose 82*n - 83*n = y - 9, -3*n - 2*y = -21. Solve -2*v + m - 11 = 0, 4*m = n*v + v + 24 for v. -5 Suppose 0 = 584*c - 1944 + 192. Solve 21*b = -2*z + 22*b + 6, z = 2*b - c for z. 5 Let l(f) = -6*f**3 - f**2 - 12*f - 11. Let a be l(-1). Suppose 0 = 2*k - a, -5*u - 13*k + 59 = -10*k. Solve 4*o = 2*s - u, o = 2*s - 4*o - 11 for s. 3 Let x(f) = -f - 6. Let i be x(6). Let r(k) = k**2 + 11*k - 4. Let v be r(i). Let m = 237 + -235. Solve -4*n - v = 4*y - m*n, -4*n = -3*y - 17 for y. -3 Let m(b) = 28*b**2 - 10*b + 3. Let g be m(2). Let z be (1/(-2))/(g/20 - 5). Let y = 2 + 1. Solve 1 + 2 = d - z*u, 4*d = y*u - 8 for d. -5 Suppose 8*y = 3*y + 90. Suppose -d - 3*v + 0*v + 17 = 0, -d = -4*v + y. Solve 2*i = 5*p - d, -i = 1 - 0 for p. 0 Let u = 244 + -239. Suppose m = u*m. Solve c - 5*g + 25 = m, 2*c - 3*g + 22 = -0*g for c. -5 Let r(u) = u**3 - u**2 - 27*u + 18. Let c be r(-5). Solve 1 = y, 5*v = y - 4*y + c for v. 0 Suppose 0 = -43*t + 38*t + 255. Suppose 0 = -23*s + 6*s + t. Solve q - 15 = -s*v, 3*v + 5 = 4*q + 20 for v. 5 Suppose 4*z - 26 = 2*t, -2*t - 47 + 29 = -3*z. Solve b = -w + 10, -6*b = -z*b + 2*w for b. 5 Let d = 43 + -43. Let b be d/((4 - 1)/3) - -2. Solve -8 = -b*m, 11 + 4 = -3*f + 3*m for f. -1 Suppose 0 = -7*x + 9
{ "pile_set_name": "DM Mathematics" }
vdkkvdd. What is prob of picking 1 x and 1 s? 3/68 What is prob of picking 4 x when four letters picked without replacement from {s: 7, x: 4}? 1/330 Calculate prob of picking 3 r and 1 g when four letters picked without replacement from {u: 3, v: 2, g: 1, r: 13}. 143/1938 What is prob of picking 1 l, 1 u, and 1 n when three letters picked without replacement from {n: 2, u: 1, r: 1, l: 2, w: 1, p: 1}? 1/14 Two letters picked without replacement from {r: 1, v: 4, y: 1, c: 2, b: 2, i: 2}. What is prob of picking 2 b? 1/66 Two letters picked without replacement from vvduvuuvvuuvvd. Give prob of picking 1 u and 1 d. 10/91 Four letters picked without replacement from xnsnnxnnnn. Give prob of picking 4 n. 1/6 Calculate prob of picking 1 c, 2 x, and 1 h when four letters picked without replacement from {c: 3, h: 3, x: 2}. 9/70 What is prob of picking 1 i and 1 z when two letters picked without replacement from {t: 4, k: 2, i: 9, z: 1}? 3/40 Four letters picked without replacement from {z: 6, j: 2, i: 1, w: 1, s: 8}. What is prob of picking 1 j, 1 i, 1 s, and 1 w? 4/765 Three letters picked without replacement from ddfwdfwvwr. Give prob of picking 3 w. 1/120 What is prob of picking 2 w when two letters picked without replacement from wttt? 0 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {u: 2, a: 2, x: 1, b: 2, m: 11, o: 1}. 1/171 Three letters picked without replacement from vdvvnvgdavidg. What is prob of picking 1 n, 1 d, and 1 a? 3/286 Three letters picked without replacement from {s: 3, a: 3, l: 1}. What is prob of picking 1 a, 1 s, and 1 l? 9/35 What is prob of picking 1 y and 1 r when two letters picked without replacement from yrr? 2/3 Three letters picked without replacement from {l: 5}. Give prob of picking 3 l. 1 Two letters picked without replacement from yzhgyylgzrzh. Give prob of picking 2 y. 1/22 Four letters picked without replacement from {s: 1, z: 7, d: 6}. What is prob of picking 2 d and 2 z? 45/143 What is prob of picking 1 b and 2 h when three letters picked without replacement from ssososssshjshssjssbs? 1/1140 Two letters picked without replacement from {y: 2, w: 2, u: 4}. What is prob of picking 1 w and 1 y? 1/7 What is prob of picking 1 r, 1 i, and 1 n when three letters picked without replacement from rerrerirneiii? 10/143 Calculate prob of picking 1 x and 2 g when three letters picked without replacement from xpxpxgzxxxgxxxgxxgg. 110/969 Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, s: 3, e: 4}. 5/33 Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {u: 6, f: 12}. 8/17 Calculate prob of picking 2 n when two letters picked without replacement from rnbrrnnnbnnnnr. 4/13 Four letters picked without replacement from {u: 1, j: 1, p: 1, k: 12, t: 1, n: 3}. Give prob of picking 2 k, 1 p, and 1 n. 33/646 Calculate prob of picking 3 z when three letters picked without replacement from zsszqzzzszssskzkdq. 35/816 Four letters picked without replacement from {b: 7, l: 2, o: 2, c: 2, h: 2, k: 4}. What is prob of picking 2 k, 1 c, and 1 o? 2/323 Three letters picked without replacement from ozzzzzoozozo. Give prob of picking 3 z. 7/44 Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, n: 5, a: 13}. 1/190 Calculate prob of picking 2 r when two letters picked without replacement from {e: 14, r: 4}. 2/51 Three letters picked without replacement from gjygyybybg. What is prob of picking 1 y and 2 g? 1/10 What is prob of picking 2 d when two letters picked without replacement from {s: 2, d: 2, m: 2, b: 2, o: 4, g: 2}? 1/91 What is prob of picking 3 t when three letters picked without replacement from {v: 2, h: 7, k: 5, t: 3}? 1/680 What is prob of picking 1 j and 1 o when two letters picked without replacement from oooojojj? 15/28 Calculate prob of picking 1 q and 2 a when three letters picked without replacement from aszzqzjzsa. 1/120 Calculate prob of picking 1 t and 1 g when two letters picked without replacement from eegenggggecgete. 2/35 Two letters picked without replacement from {y: 5, d: 6, v: 2, p: 3, s: 1}. What is prob of picking 1 s and 1 p? 3/136 Calculate prob of picking 1 e, 1 v, and 1 k when three letters picked without replacement from {e: 3, v: 2, j: 9, r: 2, k: 1}. 3/340 Four letters picked without replacement from {i: 1, c: 3, g: 5, e: 9}. Give prob of picking 2 e, 1 c, and 1 i. 3/85 Two letters picked without replacement from {j: 3, l: 4, u: 2, p: 1, w: 1}. Give prob of picking 2 u. 1/55 Three letters picked without replacement from {a: 1, n: 2, g: 1, s: 1, j: 2, d: 1}. What is prob of picking 1 s, 1 a, and 1 n? 1/28 Three letters picked without replacement from vvfvffvfvvfv. What is prob of picking 3 v? 7/44 Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {x: 2, f: 1}. 2/3 What is prob of picking 1 o and 1 e when two letters picked without replacement from {e: 4, j: 2, o: 2, m: 2}? 8/45 Calculate prob of picking 2 m when two letters picked without replacement from xxxxmxmxmmmxxxxxxxx. 10/171 Calculate prob of picking 2 i and 1 u when three letters picked without replacement from uiuuuuiuiuuiuiuuiiu. 84/323 Four letters picked without replacement from {m: 2, s: 8, b: 2, g: 2}. What is prob of picking 3 s and 1 m? 16/143 What is prob of picking 1 v, 1 x, and 1 s when three letters picked without replacement from vvssntxnsvnsnns? 3/91 Four letters picked without replacement from rrllnlrvrr. Give prob of picking 1 r, 1 v, and 2 l. 1/14 Two letters picked without replacement from yyyyhhhhyhhy. What is prob of picking 2 y? 5/22 Two letters picked without replacement from {d: 3, h: 1, g: 1, k: 5, u: 3}. Give prob of picking 1 h and 1 k. 5/78 Three letters picked without replacement from {r: 7, z: 4, o: 1, q: 3, t: 1, b: 4}. What is prob of picking 2 q and 1 r? 7/380 Three letters picked without replacement from yzzuybyyyrry. Give prob of picking 1 z, 1 y, and 1 r. 6/55 Calculate prob of picking 3 o when three letters picked without replacement from {o: 5, f: 3}. 5/28 Calculate prob of picking 2 t when two letters picked without replacement from dddddtddtdtddfddd. 3/136 What is prob of picking 2 e, 1 x, and 1 l when four letters picked without replacement from {e: 5, f: 2, x: 3, r: 3, l: 3}? 9/182 Two letters picked without replacement from sllylyuyksyk. What is prob of picking 2 l? 1/22 Two letters picked without replacement from {t: 3, c: 1}. What is prob of picking 1 t and 1 c? 1/2 Calculate prob of picking 2 h when two letters picked without replacement from hshshhshhhshs. 14/39 Two letters picked without replacement from deeddyqppcpeecepc. What is prob of picking 2 c? 3/136 Three letters picked without replacement from fhffhhhxhjjjzhzffzh. Give prob of picking 1 z and 2 j. 3/323 Two letters picked without replacement from {t: 4, i: 5, p: 10}. What is prob of picking 2 t? 2/57 Three letters picked without replacement from zususzzzgsyzsy. Give prob of picking 1 u, 1 s, and 1 g. 2/91 Three letters picked without replacement from mjmjm. What is prob of picking 3 m? 1/10 Two letters picked without replacement from jjvjvjbv. What is prob of picking 1 j and 1 b? 1/7 Two letters picked without replacement from {z: 3, b: 13}. What is prob of picking 2 b? 13/20 What is prob of picking 1 j and 1 d when two letters picked without replacement from {j: 2, d: 2, e: 1}? 2/5 What is prob of picking 1 d, 1 f, and 1 p when three letters picked without replacement from {d: 1, m: 1, f: 1, p: 1, k: 3}? 1/35 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {a: 1, q: 1, g: 3, v: 2}. 1/7 What is prob of picking 1 l, 2 b, and 1 f when four letters picked without replacement from {b: 4, h: 1, l: 4, f: 1, w: 3}? 24/715 Three letters picked without replacement from {l: 7, s: 9}. What is prob of picking 3 s? 3/20 Calculate prob of picking 2 n and 1 s when three letters picked without replacement from feenzeezneszeeeee. 1/680 Three letters picked without replacement from {j: 7, d: 4}. What is prob of picking 3 j? 7/33 Four letters picked without replacement from eeevlejbvlplvpl. What is prob of picking 1 b and 3 v? 1/1365 Three l
{ "pile_set_name": "DM Mathematics" }
: 1, l: 7, x: 2, j: 8}. 7/51 Calculate prob of picking 1 h, 1 j, and 1 o when three letters picked without replacement from ezhoejzeohzcohezc. 9/680 Calculate prob of picking 1 k and 1 e when two letters picked without replacement from kmmkkkkkekkemkmmeek. 40/171 What is prob of picking 1 t, 2 u, and 1 v when four letters picked without replacement from euevuuuuvuuueutue? 9/238 What is prob of picking 1 o and 1 u when two letters picked without replacement from ooouoooouuuu? 35/66 Calculate prob of picking 1 s and 2 o when three letters picked without replacement from osoooooooosooso. 198/455 Three letters picked without replacement from {h: 3, e: 3, w: 1, t: 3}. Give prob of picking 1 w and 2 e. 1/40 Two letters picked without replacement from xbxxsjbjxn. What is prob of picking 1 s and 1 x? 4/45 What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 1, z: 2, o: 1, a: 2, g: 2, e: 1}? 1/18 Calculate prob of picking 1 u and 3 y when four letters picked without replacement from {k: 2, w: 5, y: 5, u: 7}. 35/1938 Three letters picked without replacement from sqdystsdddmdtyqytyd. What is prob of picking 3 s? 1/969 Four letters picked without replacement from cktcttcvcctcckccc. What is prob of picking 1 k and 3 c? 12/119 Two letters picked without replacement from {t: 3, o: 4, f: 3, s: 2, u: 2, b: 2}. Give prob of picking 2 f. 1/40 Calculate prob of picking 2 o when two letters picked without replacement from {h: 1, p: 1, o: 2}. 1/6 Calculate prob of picking 3 t when three letters picked without replacement from {t: 5, c: 5}. 1/12 Calculate prob of picking 1 b, 1 k, and 1 f when three letters picked without replacement from {r: 3, b: 1, y: 3, f: 3, k: 6}. 9/280 What is prob of picking 2 v, 1 q, and 1 b when four letters picked without replacement from {m: 7, v: 3, q: 1, w: 4, b: 1}? 3/1820 Four letters picked without replacement from {h: 5, u: 8, k: 3, g: 2, j: 1}. Give prob of picking 2 g, 1 k, and 1 j. 1/1292 Calculate prob of picking 1 c, 2 k, and 1 d when four letters picked without replacement from {k: 7, h: 1, f: 2, d: 4, c: 3, e: 1}. 7/85 Three letters picked without replacement from pipppgppp. What is prob of picking 1 i and 2 p? 1/4 Two letters picked without replacement from {g: 2, k: 1}. What is prob of picking 2 g? 1/3 Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {n: 4, g: 3, e: 2, v: 2, c: 3, w: 1}. 2/35 Two letters picked without replacement from {z: 18, v: 2}. Give prob of picking 2 v. 1/190 What is prob of picking 1 c, 1 n, and 2 w when four letters picked without replacement from {n: 2, w: 6, y: 1, h: 5, c: 1}? 2/91 What is prob of picking 1 e and 1 u when two letters picked without replacement from {u: 4, e: 3, s: 1, l: 2, p: 2}? 2/11 What is prob of picking 3 c when three letters picked without replacement from {z: 2, c: 9}? 28/55 Calculate prob of picking 1 e and 2 y when three letters picked without replacement from yseseeseyeyeyeeeyes. 100/969 Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {x: 1, e: 1, t: 5, s: 1, p: 5, v: 1}. 25/91 Three letters picked without replacement from {c: 7, a: 4, z: 3}. Give prob of picking 1 c and 2 z. 3/52 What is prob of picking 1 e and 3 v when four letters picked without replacement from {e: 4, v: 14}? 364/765 Three letters picked without replacement from {r: 1, c: 4, a: 2, t: 6, d: 1, l: 1}. Give prob of picking 1 l, 1 t, and 1 a. 12/455 What is prob of picking 4 k when four letters picked without replacement from {i: 1, d: 2, k: 1}? 0 Two letters picked without replacement from mpeqmeeqqpqq. Give prob of picking 1 p and 1 m. 2/33 Calculate prob of picking 2 a when two letters picked without replacement from nnniiatntatni. 1/78 Three letters picked without replacement from itoriifior. Give prob of picking 2 o and 1 t. 1/120 Calculate prob of picking 3 z when three letters picked without replacement from zazzzzazzaaaa. 35/286 Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {g: 1, m: 4, k: 3, s: 5}. 2/39 Two letters picked without replacement from kbbfbkb. What is prob of picking 1 f and 1 k? 2/21 Two letters picked without replacement from {o: 5, v: 5, q: 1, s: 7, h: 1, x: 1}. What is prob of picking 1 s and 1 v? 7/38 What is prob of picking 1 w and 2 s when three letters picked without replacement from {s: 2, w: 1, a: 1}? 1/4 Three letters picked without replacement from cwjcjcfwwccnjlncjl. Give prob of picking 1 j, 1 n, and 1 c. 1/17 Two letters picked without replacement from {t: 3, p: 1, q: 7, g: 3}. What is prob of picking 1 t and 1 q? 3/13 Calculate prob of picking 3 f when three letters picked without replacement from {e: 1, f: 3, j: 1, s: 1, a: 1}. 1/35 Calculate prob of picking 3 p and 1 n when four letters picked without replacement from hphphpznppo. 1/33 What is prob of picking 2 r and 2 s when four letters picked without replacement from {h: 2, s: 10, r: 2}? 45/1001 What is prob of picking 1 g, 1 t, 1 u, and 1 v when four letters picked without replacement from {v: 1, g: 3, t: 3, u: 1, s: 3}? 3/110 Two letters picked without replacement from {y: 5, k: 1, l: 3, n: 6, e: 3, f: 2}. What is prob of picking 1 f and 1 l? 3/95 Three letters picked without replacement from {w: 11, b: 4, i: 3}. What is prob of picking 3 w? 55/272 Two letters picked without replacement from {q: 1, n: 12, f: 3}. Give prob of picking 1 f and 1 q. 1/40 What is prob of picking 4 q when four letters picked without replacement from qqyyqqqqyq? 1/6 Two letters picked without replacement from dcdhddhncnbnnndh. Give prob of picking 2 h. 1/40 Calculate prob of picking 1 q, 1 w, and 1 x when three letters picked without replacement from {x: 2, q: 1, w: 2}. 2/5 What is prob of picking 3 i when three letters picked without replacement from idtidttttiitiii? 1/13 What is prob of picking 3 c when three letters picked without replacement from ocjjcijiicjiiiijocc? 10/969 Three letters picked without replacement from {l: 2, b: 9, p: 1, k: 3, j: 3}. What is prob of picking 1 j, 1 k, and 1 b? 27/272 Three letters picked without replacement from pcccgycccccc. What is prob of picking 1 y and 2 c? 9/55 Four letters picked without replacement from bbvvbbbb. What is prob of picking 4 b? 3/14 Three letters picked without replacement from {h: 4, n: 4, u: 9}. What is prob of picking 2 n and 1 u? 27/340 Two letters picked without replacement from cmmccm. Give prob of picking 2 m. 1/5 Calculate prob of picking 4 l when four letters picked without replacement from llellllellllell. 33/91 What is prob of picking 2 m and 2 f when four letters picked without replacement from mmmffmmpfmffpmmmmmm? 55/323 What is prob of picking 2 s when two letters picked without replacement from {s: 3, i: 17}? 3/190 Three letters picked without replacement from vdzzvfw. What is prob of picking 1 f, 1 w, and 1 v? 2/35 Three letters picked without replacement from {v: 13, l: 3}. Give prob of picking 2 v and 1 l. 117/280 Four letters picked without replacement from {e: 3, j: 17}. What is prob of picking 3 j and 1 e? 8/19 What is prob of picking 1 b and 1 p when two letters picked without replacement from {n: 6, t: 5, b: 1, p: 1, l: 1, v: 2}? 1/120 Four letters picked without replacement from mamlwlluaumuaap. What is prob of picking 1 u, 2 a, and 1 w? 6/455 Three letters picked without replacement from rrgrrrrg. Give prob of picking 2 g and 1 r. 3/28 Four letters picked without replacement from {v: 5, w: 4, p: 2}. Give prob of picking 2 v and 2 w. 2/11 What is prob of picking 1 z and 3 g when four letters picked without replacement from gsgzsgssggusnezsssnz? 2/323 What is prob of picking 1 j, 1 w, and 1 o when three letters picked without replacement from wjyjojyjjjjyyjuwoy? 2/51 What is prob of picking 2 g when two letters picked without replacement from zgzggzzzzgzzzzzzzzz? 2/57 Three letters picked without replacement from {e: 1, t: 4, i: 9, z: 2}. Give prob of picking 1 i, 1 t, and 1 e. 9/140 Calculate prob of picking 3 q and 1 k when four letters picked without replacement from {f: 5, k: 3, q: 1}. 0 Three letters picked without replacement from {x: 1, y: 2, b: 2, l: 1, j: 2, m: 1}. What is prob of picking
{ "pile_set_name": "DM Mathematics" }
o be 2 - -2 - 16413/4264. Let s = -1/328 - o. Which is the third biggest value? (a) -3 (b) -2/15 (c) s a Suppose -6*g - 330 = -342. Which is the second smallest value? (a) -1/3 (b) -3 (c) g (d) 2/11 a Let j be ((-4)/(-15))/((-10)/(-60)). Let n = 577 + -1153/2. What is the smallest value in j, 5, n? n Let d be (5 - (3 + -1))*-1. Suppose 10 + 18 = -4*c. Let r = d - c. What is the second smallest value in r, 7, -0.1? r Let f = 7453/616 - 575/56. Let r = f + -17/11. What is the smallest value in r, 0, -0.4? -0.4 Let x = -73 + 19. Let s = 49 + x. Let f be 2/6 - 13/21. Which is the smallest value? (a) f (b) s (c) 0.1 b Let q = 656 - 657. What is the third smallest value in -4, q, -0.6, -0.01? -0.6 Let v = 3.5 - 3.5. Let m = 20 + -25. Which is the third biggest value? (a) v (b) 5 (c) m (d) -0.05 d Suppose -10 = 2*a - 7*a. Suppose -4*s = 6*q - a*q + 36, -5*q + 4*s = 0. Let u = 0.05 + 1.95. What is the smallest value in u, 0, q? q Let z be ((-85)/75)/1 + 1. Which is the second smallest value? (a) -1 (b) z (c) 1 (d) -46 a Let r = -2.04 - -2.34. Which is the second smallest value? (a) -0.12 (b) 2 (c) r (d) -0.1 d Let v = -46.1 + 46.2. Which is the biggest value? (a) v (b) -1/4 (c) -4 a Let q = 221/2 - 887/8. What is the third smallest value in q, 3, -5? 3 Let y = 1 - 0.5. Let o = 0.1 + -0.1. Let j = -516.8 - -517. Which is the third smallest value? (a) j (b) o (c) y c Let h = 102.3 - 97.3. What is the second smallest value in 17, -1/6, h? h Let m be 2*(-14)/441*-9. Which is the fourth biggest value? (a) -14/3 (b) m (c) -2 (d) -2/7 a Let g = 19.24 + -0.24. Let f = 15 - g. Let o = -1848/13 + 142. Which is the second smallest value? (a) 5 (b) f (c) o c Let b = -361 + 363. Let w = -7.7 - -9. What is the biggest value in b, w, -2? b Let i = -16/75 + 1/75. Suppose 428 = v + 426. What is the smallest value in -2/7, i, v, 0? -2/7 Let o = 2.7 + -1.3. Let t = -8.77 - -9.07. What is the biggest value in t, o, -2/7? o Let a(y) = y**2 - y - 2. Let l be a(-2). Suppose -4*k + 4 - l = 0. Let f = 273/695 + 1/139. What is the second biggest value in k, f, 4? f Let j be (6/8)/(1/(-4)). Let x be -3*(-13)/(-12) - j. What is the smallest value in 0.3, -0.13, x? x Let p = 9 + -9.07. Let t = 1.93 - p. Let z be 1/2 + 11/(-22). What is the second smallest value in t, z, 1/2? 1/2 Let k be (3/(-99))/((-17)/51). What is the fourth biggest value in 12/25, k, 2, 0.3? k Let i = 1887/7 - 270. Which is the fourth smallest value? (a) 3 (b) i (c) -12 (d) -0.2 a Let b be 90/75 + (-4)/20. What is the fourth biggest value in 5, b, -0.1, -3? -3 Suppose 4*r + s - 22 = 0, -3*r - 6 + 31 = 5*s. Which is the second smallest value? (a) 21 (b) 0.2 (c) r (d) -2 b Let r = 0.657 + -0.477. Which is the third biggest value? (a) 4 (b) 0.5 (c) r c Let t be 0 + (-1 + 2)*2. Let d = -1460 + 1465. What is the third smallest value in t, 1, -0.2, d? t Let z = 0.0321 + -9.0321. What is the third biggest value in z, 5/3, -0.5? z Let y = -0.38 + 25.38. Let h = y + -21. Let i = -7 - -3. Which is the second smallest value? (a) h (b) 6 (c) i a Suppose -2*o = -5*o. Suppose 3*y = g + 1 + 5, -3*g + 2*y - 11 = o. Which is the second smallest value? (a) 2 (b) 2/13 (c) g b Let t = 1.2 - 1.7. Which is the fourth smallest value? (a) -4/9 (b) t (c) -0.4 (d) 17 d Suppose 7 - 19 = -4*m - 3*r, -4*m + 12 = 4*r. Suppose -w - 2*w = -6. What is the third smallest value in -0.3, w, m? m Let z = -4.6 + 3.2. Let y = 0.4 + z. What is the second biggest value in -0.5, 0.4, y? -0.5 Let w = 3.35 + 1.33. Let z = w + 1.32. Which is the third smallest value? (a) -3 (b) z (c) -3/8 b Let g = 271.1 - 271. What is the fourth biggest value in -2/5, 1.1, g, -1? -1 Suppose 0*b + 4*b = 0. What is the smallest value in 0.4, b, 4, 36? b Let c be -3 + 0 + (-278)/(-6). Let g = c + -43. Let j = -47/96 + 5/32. What is the third smallest value in g, 1, j? 1 Let i be (362/48)/(1/3). Let d(z) = z**3 + 4*z**2 - z - 3. Let h be d(-5). Let u = h + i. Which is the second biggest value? (a) -5 (b) 2/17 (c) u c Let y = -1743 + 1741. Let n = -0.5 + 0.3. Which is the second smallest value? (a) n (b) -7 (c) y c Let a = -2.4 + 1.9. What is the third biggest value in -3/7, a, -2, -1? -1 Let m = -55 + 17. Let g = 34 + m. Let o = 4.4 - 4. Which is the biggest value? (a) -0.1 (b) g (c) o c Let k = 7 - 2. Suppose -6 = 3*h, -v + 5*h + 26 = 3*v. Let j = k - v. What is the second smallest value in 1/8, j, 4? j Let d be 3/(-3) + 1299/12. Let m = d - 108. Which is the third smallest value? (a) -3 (b) m (c) -10 b Let o = -0.32 + 0.6. Let w = 1.77 + -3.05. Let a = w + o. What is the biggest value in a, -2/7, 0.2? 0.2 Let s = 18 - 25. Let g = 4 + s. Let k = 698 + -702. What is the second biggest value in g, -1, k? g Let h be ((-2)/(-10))/((-4)/10). Let k = -4427/4 + 1107. What is the second smallest value in k, 1, h? k Let g = 589 + -589.01. What is the third smallest value in -149, g, 0.2? 0.2 Let m = 0.6 - 1.8. Let a = m - -0.7. What is the third biggest value in -3, 0, a? -3 Let w = 1 + -0.9. Suppose 0 = 4*p + 2*p - 48. Suppose -4*s = p + 4. Which is the biggest value? (a) 0.2 (b) w (c) s a Let s = 0.386 - -4.614. What is the second biggest value in 1/3, s, -3/10, -3/14? 1/3 Let h(d) = -d**2 - 5*d + 7. Let q be h(-6). Let k be -3*q - 171/(-63). Let x = 4558/17 - 268. Which is the third biggest value? (a) k (b) x (c) -2 c Let z be (1 - 5) + 3 + -2. Let l = -49 - -48.8. What is the third biggest value in -0.3, z, l? z Let g = -4363/9 - -485. What is the biggest value in g, 0.3, -54? 0.3 Let w = -89/124 + -1/31. Let u = -40 + 37. Let v be 12/10*((-10)/(-4) - 2). Which is the smallest value? (a) w (b) u (c) v b Let k = -0.42 + 0.25. Let j = 0.37 + k. Which is the third smallest value? (a) 1 (b) j (c) 5 c Let j = 0.3 - 4.3. Let v = -1373 + 1377. Suppose 0*m - 2*m = -6. Which is the third smallest value? (a) j (b) m (c) v c Let v = -53.2 - -64.2. What is the second biggest value in v, 0.7, 0? 0.7 Let r = 322 + -313. Which is the biggest value? (a) 1 (b) -0.3 (c) -2/11 (d) r d Let n(x) = -7 + 8*x - x**3 + 0*x - 8*x**2 - 16*x. Let o be n(-7). Suppose 5 = g - o*g. Which is the third biggest value? (a) g (b) -8 (c) 0.5 b Let g = -16705 + 16705.1. Let o = -0.01 + 3.01. Which is the third biggest value? (a) 1/3 (b) -3 (c) o (d) g d Suppose 0 = -5*u - 6*i + i + 25, 0 = 4*u - i + 5. Which is the second smallest value? (a) 0.04 (b) -1 (c) u c Suppose 0 = v + 4*v + 25. Suppose 6 = t - 0. Suppose -3 + t = -3*j. Which is the smallest value? (a) -0.3 (b) v (c) j b Let p = -106 - -105.8. What is the second biggest value in p, -2/13, -18, 0.1? -2/13 Let k be ((-155)/15 - -11)*(-30)/4. Which is the second smallest value? (a) 2/19 (b) k (c) 1/3 a Let r = -2/367 + -321/8441. Which is the second biggest value? (a) -3/4 (b) 0.1 (c) -4 (d) r d Let l = -193 - -38. Let x = 160 + l. What is the biggest value in 11, x, -3/4? 11 Let x = -8.47 + 0.17. Let n = -6.3 - x. Let d = 1 + -4. Which is the second smallest value? (a) 0.1 (b) n (c) d a Let u = 272.2 + -272. Let i = -20544 - -183080/9. Let h = 202 + i. Which is the smallest value? (a) 5/2 (b) u (c) h b Let c = -348.7 - -329. Let h = -24.9 + 4.9. Let a = h - c. What is the second biggest value in 4, a, -2/3? a Let y be ((-3)/(-5))/(2/10). Let r = -2.4 - -0.4. Let a = -297 + 302. What is the third smallest value in y, r, a? a Let l = -125/3 - -631/15. What is the third smallest value in l, 0.02, -1? l Let u = 34 - 35. Let b = 68 - 65. What is the second smallest value in 5/3, b, u, -0.2? -0.2 Let p = 0.6 - 1. Let u = -0.6 + p. Let z be ((-2)/4)/(30/180). What is the third biggest value in z, 0.4, u? z Let w = -2 + 1.8. Let y = 12026.95 - 12027. What is the smallest value in -0.3, y, w, -5? -5 Let z = 6.04 - 0.04. Let g = z - 5.7. Let v be (8/30)/((-72)/540). Which is the biggest value? (a) g (b) v (c) 0 a Let j(n) = -55*n + 6. Let h be j(-1). Let m = h + -51. Which is the third smallest value? (a) -1 (b) m (c) 0.4 b Let t be (12/(-27))/(28/(-6)). Let x = 8 + -3. What is the biggest value in t, x, 2, 0.5? x Let f = -593/3 + 196. Suppose 0*c + 3*c = 6. Let u = c + -5. What is the smallest value in f, -0.4, u? u Let t be (3/(-15))/((-12)
{ "pile_set_name": "DM Mathematics" }
s ((-230)/(-49335))/(13/((-1053)/(-18)))? 3/143 Evaluate (-2574)/(-3366)*3/(-39). -1/17 ((392645/708)/(-605))/(11/(-69)) 23/4 Calculate ((-1729)/665*-5)/((-1)/(-1)*-1). -13 364/3913*645/30 2 What is the value of (-544)/224*7*49/(-7)? 119 Evaluate ((-514)/771)/((-18)/1269). 47 (-20884)/1135*(-75)/(-30) -46 Calculate (1640/(-1722))/(20/(-420)). 20 Calculate ((-12)/40)/(545/18530)*5. -51 What is (-22113)/(-14040)*(-16)/7? -18/5 What is the value of (14/(-12)*13*(-1708)/(-793))/(2/3)? -49 What is the value of ((-525)/495)/(-5)*(5616/(-910))/36? -2/55 Calculate ((1694/(-22))/154)/(3/492). -82 What is the value of (-2)/(((-2714)/59)/(-1012))? -44 Calculate ((-6)/(-27))/((-1750)/40950). -26/5 Evaluate (74/(-185))/(1*(264/255)/11). -17/4 Evaluate (133/(156009/34799))/((-1)/((-6)/2)). 89 What is ((-15)/3)/((-565)/452)? 4 What is the value of ((-892)/223)/((954/(-21)*1)/((-18)/28))? -3/53 What is the value of (312/(-14))/((-196)/(-7889)*-23)? 39 What is (-2)/33*1134/378? -2/11 Calculate (((-1295)/222)/7)/(7/462). -55 What is (-1155)/(-21)*(-68)/(-1190)*-21? -66 What is the value of (6*(-3)/696)/(-49*(-41)/(-16072))? 6/29 Evaluate (1962/1635)/((-56)/1)*-4. 3/35 Calculate ((-18)/(-10))/((-32445)/(-12875)). 5/7 (-1)/(65*(-2603)/(-44525)) -5/19 Calculate ((-21)/(-12))/((-4025)/39100). -17 What is the value of (-1)/(((-4)/(-6))/((-351496)/(-9948)))? -53 Calculate (((-111)/(-1776))/((-2)/72))/(78/24). -9/13 ((-10)/4*(216/45)/(-3))/((-15)/(-240)) 64 -4*(-26)/((-21840)/(-330)) 11/7 Evaluate 413/(-2124)*18*(-4)/14*-27. -27 What is (690/(-23))/((-8)/(-8))? -30 Calculate 8/24*(-1128)/11844. -2/63 Evaluate (2214/972)/((-4)/(-72))*1*-1. -41 57/(-2)*(-2)/((-9)/12*(-8)/2) 19 (2019/(-24901))/(3/(-2))*(-1)/2 -1/37 (1/(49/7))/(7/(-70)) -10/7 Evaluate -4*(-7)/(-2)*2. -28 Calculate ((-288)/(-4))/3*126/(-567)*45/(-4). 60 What is the value of (-2*6/(-12)*-1)/(3/1)*-129? 43 Calculate ((-9)/57)/(16*(-33)/(-352)). -2/19 Evaluate (1098/(-8))/(-20*(-621)/(-5520)). 61 What is the value of 2715/58825*(-10)/((1/2)/(2/4))? -6/13 What is 112/416*-13*156/(-21)? 26 (3/(-440)*22)/(-30*(-5)/(-20)) 1/50 What is (((3/(-3))/((-24)/(-6)))/(51/7242))/(-1)? 71/2 Calculate ((-10)/((304/4)/(-1)))/(((-540)/16)/(-27)). 2/19 What is the value of (((-6)/15)/(-1*(-48)/90))/(1464/(-64))? 2/61 6/(((-10)/7)/(3915/2349)) -7 What is the value of (-14)/(-13)*94939/(-175272)? -7/12 What is 2/(18/3*4*31/(-372))? -1 What is the value of ((-85)/4)/((6680/(-224))/167)? 119 ((396/(-24))/(-33))/(12/(-56)*7/36) -12 Calculate ((-5568)/(-319))/(-32)*5/10. -3/11 Calculate 45/(-3780)*-3*(-35)/(-15)*260. 65/3 What is (-4)/54*(-1)/38*4*2922/(-1948)? -2/171 What is ((-40278)/(-189))/(-137)*((-18)/(-21))/((-24)/(-21))? -7/6 Evaluate 30039/3534*(-48)/17. -24 What is (-120)/(-288)*-12*(-3)/((-6)/2)? -5 Calculate 520/3640*(-8)/6*3. -4/7 What is (-1847)/(-1847)*(-2)/(-205)? 2/205 What is the value of ((-374)/(-68))/((2/14)/(12/14)*3)? 11 What is (-9)/(-27)*(-28)/98*2/60*-7? 1/45 Calculate (-8)/(-8)*-34*1. -34 (126/(-81)*(-17)/(-119))/(2/(-576)) 64 Calculate ((-7)/9)/(59/((-39825)/(-300))). -7/4 (115*3230/(-6555))/((-4)/(-6)) -85 Calculate (-90)/(-20)*2/(-6)*(-962)/39. 37 Calculate (56780/8016)/(8/(144/(-30))). -17/4 Evaluate 7*20/(-70)*((-51)/4)/(120/(-320)). -68 What is the value of ((-108)/(-45))/12*950/(20/(-2))? -19 What is ((-248)/(-465))/(8/9)*2/(-10)? -3/25 ((-8)/260)/((693/(-45))/(-7)) -2/143 Evaluate (5/5)/((15/8)/(3105/13800)). 3/25 What is 7170/(-956)*2*16/12? -20 What is 7*1007/(-1113)*1? -19/3 Calculate -26*76/107198*-31. 4/7 Evaluate (-456)/798*(-26)/((-110500)/525). -6/85 What is (-10)/48*((-35)/50)/(161/46)? 1/24 ((-1116)/(-7254))/(37/(-1))*13 -2/37 (98/(-60907)*113)/((-4)/1606) 73 What is (60*(-155)/223200)/(-1*2/((-8)/(-2)))? 1/12 Calculate (19980/333)/((-56)/4)*42/9. -20 What is (-4*7*(-15)/3780*-6)/(6/477)? -53 What is (3/((-6)/(-2))*3)/((4680/(-380))/78)? -19 Evaluate ((-20)/(-5)*410/615)/216. 1/81 What is (-32)/(-192)*(-4136)/(-188)? 11/3 What is the value of ((44/605)/(11/(-2035)))/(68/(-374))? 74 Evaluate (13103424/227490)/((-4)/(-10)). 144 What is (-104)/4160*220*3/297? -1/18 Calculate (7/4)/((-725515)/(-43640)). 2/19 What is the value of 16/224*1*8*(-3)/(-1)? 12/7 What is the value of (64/(-3))/(-8*(-2)/(-12)*30/(-240))? -128 Evaluate (21*3)/((21/(-4))/((-9016)/2576)). 42 What is (120591/(-281379))/((-1)/(-19)*(-3)/(-21))? -57 What is the value of (-4)/10*-12*(-4)/(-12)*10? 16 Evaluate (2/56)/((5355/(-280))/(-17)). 2/63 What is 63/1209*479663/46419? 7/13 What is the value of 25/((-3)/((-54)/(-45)))? -10 ((-1182852)/(-271920))/(-4*3/(-160)) 58 3/((-42)/(-2))*88/(2200/(-475)) -19/7 Calculate 2*((-819)/(-105)*-5)/(-2). 39 (135/(-12))/((-9)/(-24))*(-746)/1865 12 Calculate (20925/(-6900)*-23)/((-27)/12). -31 What is the value of (2/(-3)*(-167)/334)/(680/96)? 4/85 Calculate -39*10*13/(-1950). 13/5 What is ((-15)/(-6))/((-3)/(-6))*(-10114)/293306? -5/29 Evaluate (-2745)/3660*(-4)/(-21)*-2. 2/7 Evaluate 3276/3822*(-28)/(-15). 8/5 Evaluate (114/(-14))/(4218/(-98420)*20/(-6)). -57 What is ((-954)/795)/(4503/95)? -2/79 (-4)/(4/5)*1234/(-481260)*(-24)/10 -2/65 Evaluate (-13*(-168)/3432)/(28/154). 7/2 What is ((-2)/(-26))/((-36)/(-208)*1140/289845)? 113 Evaluate ((-13)/(-39))/(18*(-6)/(-1620)). 5 Evaluate ((-2)/(-177)*-6)/((-79)/((-2370)/60)). -2/59 ((1690/507)/(-1))/((-1)/(-12)) -40 Calculate ((19/(798/(-504)))/(28/(-3)))/(3/63). 27 What is the value of (13/(-5))/(4258/(-42580))? 26 What is ((-1)/17)/((-144890)/(-2216817))? -9/10 What is (360/(-10))/6*((-8816)/(-1131))/(-19)? 32/13 What is (-35)/21*3/8? -5/8 What is the value of 60/(-624)*(-12)/(-9)*(-342)/(-19)? -30/13 ((5/((-75)/(-6)))/((-320)/(-48)))/(1314/(-1095)) -1/20 3/(-231*(-52)/5720) 10/7 (-5)/(-27)*(-1)/4*(-2256)/235 4/9 Calculate (-975)/(-2600)*(-1024)/(-1248). 4/13 ((-6)/12)/((-3)/2)*987/7 47 Evaluate -1*(-54)/126*(-2555)/(-219). 5 Calculate 32/(-120)*(-655)/(-5764). -1/33 Calculate (-138)/1472*56*10/3*(-138)/21. 115 (-225)/((-52650)/312)*12/(-832) -1/52 What is (-2)/1*59/((-36344)/(-88))? -2/7 Calculate 24*((-266)/(-2926))/(12/22). 4 (4/5)/((-38)/12825*5) -54 What is (-5)/(-1)*39032/(-2380)*(-1)/(-2)? -41 Evaluate (-186)/93*7/(224/24)*21/3. -21/2 Calculate (-245)/6517*(-6)/3*(-14)/(-4). 5/19 What is the value of ((-156)/45)/(3148/(-70830))? 78 What is ((-1200)/175)/8*19/190? -3/35 What is the value of 5*(52/2080)/(5/(-40))*46/(-2)? 23 What is the value of (-4056)/195*(5/(-7))/(60/105)? 26 What is 16*(-714)/(-1088)*56/(-21)? -28 What is (-27846)/(-273)*6/(-42)*14/(-4)? 51 (((-14)/6)/(-7))/((57904/(-396))/47) -3/28 Calculate 70/(-290)*198/231. -6/29 What is 364/(-1134)*(-42)/91? 4/27 Calculate ((765/27)/17)/((-9)/(18/1)). -10/3 Evaluate 1*((-30)/35)/(30/70). -2 What is ((-63)/(-10))/(((-19734)/(-115))/26)*40/30? 14/11 Calculate -2*2/46*(-9)/((-792)/22). -1/46 Evaluate (-45)/873*(-5)/5*4/100*-5. -1/97 (-22)/(-2)*67586/(-7909) -94 Calculate 324/234*3276/189. 24 Calculate 15/20*-6*(-208)/(-117). -8 Evaluate (-176)/18*19773/(-4394). 44 Evaluate 1/(-9)*-3*(-28314)/429. -22 What is 112*2*-2*(-38)/(-532)? -32 What is the value of ((9/(-210)*-16)/((-9348)/210330))/(4/14)? -54 (130/273)/((-235)/(-987)*(-9)/(-8)) 16/9 What is the value of (46/3)/((-866)/(-1299))? 23 Calculate ((-1064)/1197)/(12/(-27))*-34. -68 Evaluate (1042/(-1563))/(2/3). -1 Calculate 12/(-15)*816/(-6528). 1/10 Calculate (-370)/(-148)*600/(-25). -60 Evaluate 29*90/6525*5/(-7)*9/42. -3/49 Calculate (58/(-4))/((59/826)/(19/133)). -29 What is (224161/(-108465))/((-62)/108)? 18/5 Calculate 6*-5*(96/30)/16*(-1)/(-99). -2/33 ((-53352)/2736)/((-2)/(-8)) -78 What is the value of (9/(-10))/((429114/9520)/(-601))? 12 What is (-2*297/22)/(((-6)/(-16))/(-1))? 72 (-11)/1*(-14)/(-1771) -2/23 What is (-91)/65*12/21*(-17)/(-68)*370? -74 What is the value of (4344/29684)/(8/164)*-3*(-5)/27? 5/3 Calculate 45/195*208*5/180. 4/3 What is -10*1628/(-4070)*(-35)/(-4)? 35 What is 46*(-58)/((-146740)/2915)? 53 Evaluate 117/(-18)*5*120/(-1800). 13/6 Evaluate ((-4194)/76890)/((((-32)/80)/(2/5))/(-30)). -18/11 What is the value of ((970/(-2619))/((-20)/72))/(((-18)/(-6))/72)? 32 ((-11)/(-8))/(810/(-9720))*156/(-33) 78 What is the value of (-2394)/76*9/1782*11? -7/4 Evaluate (1605/(-2675))/((-9)/(-240)). -16 Evaluat
{ "pile_set_name": "DM Mathematics" }
2*i*w - 14*i + 1829*w**2 - 32*w wrt w? -4*i + 3658 What is the first derivative of -4*n**3 + 165*n - 2468 wrt n? -12*n**2 + 165 What is the second derivative of -7*m**3 - 2*m**2*n*u + 12*m**2*n - m*n*u + 2*m*n - 480*n wrt m? -42*m - 4*n*u + 24*n What is the second derivative of -274*b**5 - 98*b wrt b? -5480*b**3 Find the third derivative of z**6 + 59*z**4 - 9*z**2 + 6*z. 120*z**3 + 1416*z Find the third derivative of -1219*n**4 + 3859*n**2 wrt n. -29256*n Differentiate -21*a*b + 5796*a - 50*b with respect to b. -21*a - 50 Differentiate -2*r**2*z**3 + 2*r**2*z**2 + 2*r*z**2 - 215*z**3 with respect to r. -4*r*z**3 + 4*r*z**2 + 2*z**2 Find the third derivative of -460*f**5 + 2*f**4 - 232*f**2. -27600*f**2 + 48*f Differentiate 101*t + 173 with respect to t. 101 Find the second derivative of 14*f**4*h - 2*f**3*h - 137*f**2*h - 10*f*h - 458*f wrt f. 168*f**2*h - 12*f*h - 274*h Find the second derivative of -b*g*m**2 - 2*b*g + 2*b*m**2 + 2*b*m + 137*g*m**2 - g*m - 2*g wrt m. -2*b*g + 4*b + 274*g Find the first derivative of -a*h**2*z + a*h**2 - 24*a + 9*h**2*z - 2*h - 5*z wrt a. -h**2*z + h**2 - 24 What is the second derivative of 390*c**2*r**2*x**3 + 4*c**2*x**3 + 23*c*r**2 + 2*c*r*x**3 - 17*c*x + 2*r*x**3 wrt c? 780*r**2*x**3 + 8*x**3 What is the second derivative of -203*a**5 + 34*a wrt a? -4060*a**3 Differentiate -2*d**4 + 51*d**3 - 85 with respect to d. -8*d**3 + 153*d**2 What is the second derivative of -n**3*u - 2*n**3 + 58*n**2*p*u + n**2*u - 712*n*p*u - p*u wrt n? -6*n*u - 12*n + 116*p*u + 2*u Find the second derivative of 2*a**5*l + 35*a**3*l + a**2*l**2 - 2*a*l**2 + 150*a wrt a. 40*a**3*l + 210*a*l + 2*l**2 What is the derivative of 337*p + 306 wrt p? 337 What is the third derivative of 60*l**3*n**6 - 6*l**3*n**4 - l**3*n**2 - 25*l**3 + 7*l**2*n**2 wrt n? 7200*l**3*n**3 - 144*l**3*n Find the third derivative of 596*c**3*v**3 - 25*c**2*v**3 - c**2*v - 6*c*v**3 wrt c. 3576*v**3 Find the second derivative of i**4 - 10*i**3 + 275*i**2 - 2*i - 1293 wrt i. 12*i**2 - 60*i + 550 What is the third derivative of 3102*p**3 - 16*p**2 - 72 wrt p? 18612 Differentiate n**4*z - 498*n**2*z**2 - n*z**2 - 608*z**2 + 2*z wrt n. 4*n**3*z - 996*n*z**2 - z**2 What is the third derivative of 178*n**4 + 36*n**2 - 2*n wrt n? 4272*n What is the second derivative of 75*p**3 - 7*p**2 + 2*p + 106? 450*p - 14 What is the third derivative of 20*j**5 - 187*j**2 wrt j? 1200*j**2 What is the third derivative of -293*n**3*y**4 - n**3 - 5*n**2*y - n*y**2 wrt y? -7032*n**3*y Differentiate -8*a**2*q**3 - 5*a**2*q - 3*a**2 - q**3 + 523*q**2 wrt a. -16*a*q**3 - 10*a*q - 6*a Find the third derivative of 15391*h**6 + h**3 - 5*h**2 + 594 wrt h. 1846920*h**3 + 6 What is the first derivative of 3*j*k*o**2 - 2*j*k*o*r - 3*j*k*r - 22*k*o**2 - 19*o**2*r wrt r? -2*j*k*o - 3*j*k - 19*o**2 What is the third derivative of 18*g*t**2*y**4 + 4*g*y**4 + 112*g*y**2 - 2*t**2 - t*y**4 wrt y? 432*g*t**2*y + 96*g*y - 24*t*y Find the third derivative of -53*l**2*y**3 - 2*l**2*y**2 - 5*l*y**5 + l*y**2 + 640*y wrt y. -318*l**2 - 300*l*y**2 Find the first derivative of 628*o**3 - 12 wrt o. 1884*o**2 Find the second derivative of 2*j*r**3*z + 4*j*r**2*z + 2*j*r*z - 4*j*z - 73*r**3*z + 2*r**2 - 3*r*z + 71 wrt r. 12*j*r*z + 8*j*z - 438*r*z + 4 Find the third derivative of 7544*c**3*q**3 - c**2*q - 10*c*q**3 + 3*c - 7*q**3 wrt c. 45264*q**3 Find the third derivative of 83*p**6 + 3*p**3 + 92*p**2 + 13 wrt p. 9960*p**3 + 18 Find the third derivative of p**2*z**4 + 5*p**2*z**3 + 2*p**2*z - 7*p**2 + 2*p*z**4 - 11*p*z**2 wrt z. 24*p**2*z + 30*p**2 + 48*p*z Find the third derivative of 29*i**5 + 3*i**3*n + 3*i**2 + 2*i*n + 6 wrt i. 1740*i**2 + 18*n What is the third derivative of -6999*r**2*s**3*x**2 - 6*r**2*s - 2*s**2 - 178*x**2 wrt s? -41994*r**2*x**2 Find the first derivative of 177*o**4 + 452 wrt o. 708*o**3 Find the second derivative of 87*i**2 - 943*i. 174 Find the third derivative of -2170*w**3 - 42*w**2 + 2*w + 3 wrt w. -13020 Find the second derivative of 4*z**3 + 10*z**2 + 43*z. 24*z + 20 Find the third derivative of 283*k**5 + 898*k**2 wrt k. 16980*k**2 What is the second derivative of 398*c**2*y**2 - c**2 + c*y**3 + 624*y wrt y? 796*c**2 + 6*c*y Find the second derivative of f**2*l - 176*f**2 + 21*f*l - 5*f wrt f. 2*l - 352 Find the first derivative of 3*f*o + 14*f - o + 44 wrt f. 3*o + 14 What is the third derivative of 3*g**3*r**3*u - g**3*r**2*u**3 + 346*g**2*r**3*u**3 - 2*g*r*u**3 - 2*r**3 wrt g? 18*r**3*u - 6*r**2*u**3 Find the third derivative of -15997*m**4 - 7040*m**2 wrt m. -383928*m Find the third derivative of 712*f**4 + 486*f**2. 17088*f What is the derivative of -3*n*r*x + 7*n*r - n*x**2 - 2*r**2*x + 12*r**2 + 5*x**2 wrt x? -3*n*r - 2*n*x - 2*r**2 + 10*x What is the third derivative of -d**2*v**3 - 17*d**2*v**2 - 1896*d*v**5 - 2*d*v**2 wrt v? -6*d**2 - 113760*d*v**2 Find the second derivative of 14*a*r**2*u*z**3 - 17*a*r**2*z - a*r*u*z**3 - a*r*z**3 - 2*r**2*u**3 - 169*r*u**3*z - r*u*z**3 wrt r. 28*a*u*z**3 - 34*a*z - 4*u**3 Differentiate -32*v**3*w + 2*v**3*z + 121*v**3 - 4*v**2*w**4 + 5*v - 6*w*z - 2*z with respect to w. -32*v**3 - 16*v**2*w**3 - 6*z What is the derivative of -a*m**2*w - 12*a*m*w**3 + 2*a*w**3 - 9*a*w + 3*a wrt m? -2*a*m*w - 12*a*w**3 Differentiate 4138*z - 2148 wrt z. 4138 What is the third derivative of -725*n**4 - 916*n**2 wrt n? -17400*n Differentiate 6749*d**2 - 13066 wrt d. 13498*d Find the third derivative of c**3*s**3 + 3*c**3*s - 2*c**2*s**2 - 33*c*s**4 wrt s. 6*c**3 - 792*c*s Find the second derivative of -5709*i**2*n**3*p**2 - 2*i**2*n**2 - 5*i**2*n*p + 25*i*n*p - n**3 wrt p. -11418*i**2*n**3 Find the first derivative of -713*j**4 - 48 wrt j. -2852*j**3 What is the derivative of -2401*i**4 - 5969? -9604*i**3 Find the second derivative of -102*g**3*t + 2*g**3 - 2*g**2*t + 165*g*t wrt g. -612*g*t + 12*g - 4*t Find the first derivative of x**4 + 416*x**3 - x - 7159 wrt x. 4*x**3 + 1248*x**2 - 1 Find the third derivative of 974*q**6 + q**2 + 1326*q wrt q. 116880*q**3 Find the third derivative of -6377*j**3 - 917*j**2 wrt j. -38262 Find the third derivative of -4459*p**6 + 3446*p**2 wrt p. -535080*p**3 Find the second derivative of 2*a**2*g**2*n**3*w + 16*a**2*g**2 + 16*a**2*g*n*w + a**2*g*w + a**2*n - 4*a*g*n**3 + 2*a*n**2 - 12*g**2*w wrt g. 4*a**2*n**3*w + 32*a**2 - 24*w Differentiate 1574*s - 297 with respect to s. 1574 What is the third derivative of -3*b**3*g**4*m - 9*b**3*m - 10*b**2*m - b*g**2*m + 96*g**4*m wrt g? -72*b**3*g*m + 2304*g*m Find the second derivative of 473*d**4 + 2*d + 218 wrt d. 5676*d**2 What is the third derivative of 2*n**5*t - 32*n**4*t**2 + n**3 + 26*n**2*t**2 + 5*n*t**2 + 2*t**2 wrt n? 120*n**2*t - 768*n*t**2 + 6 What is the third derivative of -1809*p**6*q - 9*p**2*q + 11*p*q - q wrt p? -217080*p**3*q Find the first derivative of -19655*f*l**3 - l**3 - 165*l wrt f. -19655*l**3 What is the derivative of j**2 + 11*j + 861? 2*j + 11 Find the third derivative of 22*d**3*t + 42*d**2*t + d**2 - d*t wrt d. 132*t Find the second derivative of 24*d*t**3 + d*t + 9*d - 2*t**3 - t**2 wrt t. 144*d*t - 12*t - 2 Find the third derivative of -12332*h**5 - 5002*h**2. -739920*h**2 Differentiate -p**2*r**3 + 6*p**2*r**2 + 2*p**2 + 540*r**3 with respect to p. -2*p*r**3 + 12*p*r**2 + 4*p What is the third derivative of 26*o**6 + 5*o**4*u - 2*o**3 - 3*o**2*u + o**2 + 19*u wrt o? 3120*o**3 + 120*o*u - 12 What is the first derivative of 525*m*z + z + 577 wrt m? 525*z Find the third derivative of -133*y**3 + 5*y**2 - 2. -798 Find the second derivative of -2*g**2*u**4 + 353*g**2*u**3 + 2*g**2 + 31*u wrt u. -24*g**2*u**2 + 2118*g**2*u What is the third derivative of -112*f**3*l**2 + 4*f**2 - l**2 wrt f? -672*l**2 Differentiate 2*f**3*y**3 - 9296*f**3 - 3529*y**3 with respect to y. 6*f**3*y**2 - 10587*y**2 Differentiate -1452*w**4 + 6250. -5808*w**3 What is the third derivative of 8472*y**4 + y**2 + 4190*y - 2? 203328*y Find the first derivative of -28447*r + 11021 wrt r. -28447 What is the third derivative of 99*c**6 - 5*c**4 - c**2 - 51*c + 2 wrt c? 11880*c**3 - 120*c Find the third derivative of -7193*s**5 + s**3*t - s**2*t - 37*s*t + 224*s wrt s. -431580*s**2 + 6*t Find the third derivative of -7*a*c**3*l**3 - 36*a*l**2 - c**3 - 287*c*l**3 - 16*c*l**2
{ "pile_set_name": "DM Mathematics" }
38365*c + 1676710 = 0. Calculate c. -167671, -2 Solve 2*s**2 - 70312*s + 617972168 = 0. 17578 Determine p, given that -15*p**4 + 3198985*p**3 - 170557884005*p**2 - 56852983445*p = 0. -1/3, 0, 106633 Factor 2*b**5/3 - 68*b**4 + 2256*b**3 - 27360*b**2 + 139104*b - 254016. 2*(b - 42)**2*(b - 6)**3/3 Factor y**2 + 13230*y + 43758225. (y + 6615)**2 Suppose 2*k**5/5 + 18342*k**4/5 + 41971008*k**3/5 - 75757040*k**2 + 202180320*k - 168544800 = 0. Calculate k. -4590, 2, 5 Suppose 5*d**5 - 925*d**4 - 10705*d**3 - 14835*d**2 + 26460*d = 0. Calculate d. -9, -3, 0, 1, 196 What is t in 3*t**5/2 + 23*t**4/4 - 19*t**3 - 23*t**2/4 + 35*t/2 = 0? -35/6, -1, 0, 1, 2 Factor 5*l**2 + 2530*l - 60835. 5*(l - 23)*(l + 529) Factor -r**3/7 + 79*r**2/7 - 1826*r/7 + 10064/7. -(r - 37)*(r - 34)*(r - 8)/7 Determine c, given that -5*c**2 + 2649720*c - 351050803920 = 0. 264972 Let 4*m**3 - 1120*m**2 - 10404*m = 0. What is m? -9, 0, 289 Factor -7*d**2/4 - 5381*d/8 - 240. -(d + 384)*(14*d + 5)/8 Solve -260*y**5 - 8740*y**4 - 59115*y**3 - 79115*y**2 - 31105*y - 2625 = 0. -25, -7, -1, -1/2, -3/26 What is y in -4*y**4 - 13252*y**3 - 9847224*y**2 + 1914516352*y - 1904655872 = 0? -1736, 1, 158 Factor -3*b**2 - 241413*b. -3*b*(b + 80471) Find z, given that z**2/5 - 1271*z/5 + 396204/5 = 0. 548, 723 Let 70*y**5 + 855*y**4 + 320*y**3 - 7530*y**2 - 8550*y - 1485 = 0. What is y? -11, -3, -1, -3/14, 3 Suppose -4*y**5 - 26136*y**4 - 52256*y**3 = 0. What is y? -6532, -2, 0 What is u in 2*u**2 - 273196*u - 273198 = 0? -1, 136599 What is k in 4*k**4 + 210*k**3 - 770*k**2 + 780*k - 224 = 0? -56, 1/2, 1, 2 Let -39*g**5/7 - 6645*g**4/7 + 4119*g**3/7 + 2565*g**2/7 = 0. What is g? -171, -5/13, 0, 1 Let -5*m**2 + 10630*m + 139035 = 0. What is m? -13, 2139 Factor 2*z**4 - 1554*z**3 - 9372*z**2 - 18776*z - 12528. 2*(z - 783)*(z + 2)**3 Suppose 3*s**2 - 2457*s - 124848 = 0. Calculate s. -48, 867 Let b**2 + 42694*b + 455694409 = 0. Calculate b. -21347 Determine y, given that -4*y**5 - 208*y**4 + 6128*y**3 - 29568*y**2 - 85248*y = 0. -74, -2, 0, 12 Factor -5*g**4 - 26555*g**3 - 35271675*g**2 - 35245125*g. -5*g*(g + 1)*(g + 2655)**2 Determine a, given that -2*a**4 - 170*a**3 + 41564*a**2 - 1650880*a + 11628288 = 0. -206, 9, 56 Determine d so that -d**2/4 + 548431*d/2 - 300776561761/4 = 0. 548431 Factor 2*z**3/3 - 20710*z**2/3 + 124098*z - 558198. 2*(z - 10337)*(z - 9)**2/3 Find p, given that 4*p**5/5 - 37*p**4 + 1746*p**3/5 + 8711*p**2/5 + 7652*p/5 - 2484/5 = 0. -2, 1/4, 23, 27 Find l such that -2*l**4/3 + 2*l**3 - 2*l**2 + 2*l/3 = 0. 0, 1 Determine q so that 15*q**5 - 2840*q**4 - 25420*q**3 - 63200*q**2 - 31680*q = 0. -4, -2/3, 0, 198 Factor 4*o**2 - 708*o - 13192. 4*(o - 194)*(o + 17) Factor q**3/3 - 5142*q**2 + 5141*q + 30850/3. (q - 15425)*(q - 2)*(q + 1)/3 Determine k, given that 3*k**3/5 - 2229*k**2/5 - 93843*k/5 - 91611/5 = 0. -39, -1, 783 Factor -2*l**2 + 5450*l + 215592. -2*(l - 2764)*(l + 39) Factor -2093045*v**2 + 232920*v - 6480. -5*(647*v - 36)**2 Let 7*n**3/6 - 388*n**2 - 2342*n/3 = 0. Calculate n. -2, 0, 2342/7 Suppose -g**5/4 + 50*g**4 - 1925*g**3/4 + 2375*g**2/2 = 0. Calculate g. 0, 5, 190 Suppose 5*t**3 - 590*t**2 + 3735*t + 16650 = 0. What is t? -3, 10, 111 Factor 2*z**2/9 + 2364352*z/9 + 698770047488/9. 2*(z + 591088)**2/9 Let -2*u**5/11 + 116*u**4/11 + 1022*u**3/11 + 2224*u**2/11 + 120*u = 0. What is u? -5, -2, -1, 0, 66 Factor i**4 - 70*i**3 + 1127*i**2 - 1058*i. i*(i - 46)*(i - 23)*(i - 1) Factor -d**2 + 36418*d - 331567681. -(d - 18209)**2 Factor -4*u**2 - 2136*u - 169556. -4*(u + 97)*(u + 437) Factor -p**2/2 - 13967*p - 195077089/2. -(p + 13967)**2/2 Suppose -3*z**3/2 - 445*z**2/2 + 2033*z - 1256 = 0. Calculate z. -157, 2/3, 8 Solve -p**4/3 + 75226*p**3/3 - 471829943*p**2 + 28287232780*p/3 - 141398560900/3 = 0 for p. 10, 37603 Factor -4*t**2 - 285432*t - 570848. -4*(t + 2)*(t + 71356) Factor -31*k**3 - 2633*k**2 + 14120*k - 900. -(k - 5)*(k + 90)*(31*k - 2) Factor 5054*l**2 + 467248*l + 75595808/7. 2*(133*l + 6148)**2/7 Factor 4*s**3 + 244*s**2 + 3452*s - 3700. 4*(s - 1)*(s + 25)*(s + 37) Factor -4*o**3 + 7760*o**2 + 78044*o - 85800. -4*(o - 1950)*(o - 1)*(o + 11) Find n such that 2*n**2/7 - 15426*n/7 + 13212 = 0. 6, 7707 Suppose -s**3/2 + 4601*s**2/2 = 0. Calculate s. 0, 4601 Suppose -y**4 + 114382*y**3 = 0. What is y? 0, 114382 Factor -g**2/4 + 2364*g. -g*(g - 9456)/4 Let 2*r**4/3 - 197036*r**3/3 + 1617632718*r**2 + 788144*r/3 - 19411592648/3 = 0. What is r? -2, 2, 49259 Suppose g**3/5 - 923*g**2 - 9249*g/5 + 13851 = 0. What is g? -5, 3, 4617 Factor 4*t**3 - 4960*t**2 + 44316*t. 4*t*(t - 1231)*(t - 9) Suppose 52*h**2/9 + 14902*h/3 - 44758/9 = 0. Calculate h. -22379/26, 1 Let -u**3/4 - 2811*u**2/2 + 11247*u/4 - 1406 = 0. Calculate u. -5624, 1 Let -3*g**3 + 515*g**2 - 3736*g - 5904 = 0. Calculate g. -4/3, 9, 164 Factor t**4/9 - 32428*t**3/3 - 21619*t**2 - 97286*t/9. t*(t - 97286)*(t + 1)**2/9 Factor 3*y**3/2 - 1653*y**2 - 6654*y + 19908. 3*(y - 1106)*(y - 2)*(y + 6)/2 Factor -5*d**2 - 20980*d - 22008020. -5*(d + 2098)**2 Solve h**4/3 - 1407*h**3 - 124287*h**2 - 8334131*h/3 - 2655164 = 0. -43, -1, 4308 Factor r**4 - 2288*r**3 + 4569*r**2 + 6858*r. r*(r - 2286)*(r - 3)*(r + 1) Let 8*u**3/11 + 58*u**2/11 - 6716*u/11 + 6650/11 = 0. What is u? -133/4, 1, 25 Let -128*a**5/13 + 5152*a**4/13 - 36498*a**3/13 + 88862*a**2/13 - 73240*a/13 + 19200/13 = 0. Calculate a. 5/8, 3, 4, 32 Factor c**4/5 + 289*c**3/5 + 858*c**2/5. c**2*(c + 3)*(c + 286)/5 Suppose -3*t**3/2 + 321*t**2/2 - 5733*t/2 - 20169/2 = 0. What is t? -3, 27, 83 Determine o so that -32*o**4/7 - 3460*o**3/7 + 6576*o**2/7 - 2644*o/7 - 440/7 = 0. -110, -1/8, 1 Determine d so that -3*d**2/7 - 6573*d - 46008/7 = 0. -15336, -1 Suppose -2903*d**2 - 84183*d + 116 = 0. What is d? -29, 4/2903 Determine p, given that 3*p**5/2 - 648*p**4 - 9213*p**3/2 - 1359*p**2 + 18402*p + 15804 = 0. -6, -2, -1, 2, 439 Determine t so that 5*t**5 - 880*t**4 + 19365*t**3 + 20250*t**2 = 0. -1, 0, 27, 150 Determine g, given that -2*g**4/11 - 48*g**3/11 - 312*g**2/11 - 448*g/11 = 0. -14, -8, -2, 0 Factor -5*q**2 - 2520*q - 17395. -5*(q + 7)*(q + 497) Factor 2*v**2/7 - 2042800*v/7 + 521628980000/7. 2*(v - 510700)**2/7 Solve -2*q**2 - 252*q - 7546 = 0 for q. -77, -49 Let 2*t**4/11 + 778*t**3/11 + 69420*t**2/11 - 1251592*t/11 - 2774672/11 = 0. What is t? -202, -2, 17 Factor 2*l**3/5 - 1418*l**2/5 + 11248*l/5 - 22432/5. 2*(l - 701)*(l - 4)**2/5 Factor 2*v**2/7 - 92*v + 39674/7. 2*(v - 239)*(v - 83)/7 Let 2*x**3 + 341960*x**2 + 14617080200*x = 0. What is x? -85490, 0 Find a such that 68*a**2/7 + 188072*a/7 - 44256/7 = 0. -2766, 4/17 Solve -n**4 - 39*n**3 - 267*n**2 - 601*n - 372 = 0 for n. -31, -4, -3, -1 Suppose -3*g**4 - 675*g**3 - 37623*g**2 + 39663*g + 76614 = 0. What is g? -113, -1, 2 Factor -4*y**2 + 42712*y - 724948. -4*(y - 10661)*(y - 17) Solve 5*z**2 - 36280*z = 0 for z. 0, 7256 Let 2*k**5/7 + 4*k**4/7 - 26*k**3/7 + 20*k**2/7 = 0. Calculate k. -5, 0, 1, 2 Suppose 5*u**4 - 35*u**3 - 2410*u**2 - 20820*u - 52200 = 0. Calculate u. -10, -6, 29 Find k such that k**3/2 + 15507*k**2/2 - 93069*k/2 + 139617/2 = 0. -15513, 3 Solve -6*w**4/7 - 250*w**3/7 - 272*w**2/7 + 4952*w/7 - 960 = 0 for w. -40, -6, 2, 7/3 Let 828*h**5 + 588*h**4 - 2680*h**3 + 80*h**2 + 1952*h - 768 = 0. Calculate h. -2, -24/23, 2/3, 1 Factor u**3/5 - 29*u**2/5 + 198*u/5. u*(u - 18)*(u - 11)/5 What is h in h**3/6 + 598*h**2/3 + 179992*h/3 + 710432/3 = 0? -596, -4 Factor 4*m**2 + 129476*m + 129472. 4*(m + 1)*(m + 32368) Suppose 3*q**2/5 - 156231*q/5 + 468666/5 = 0. Calculate q. 3, 52074 Let -2*i**3/19 + 2900*i**2/19 + 2902*i/19 = 0. What is i? -1, 0, 1451 Factor -t**2 - 113*t - 436. -(t + 4)*(t + 109) Factor 48*q**2 + 183*q - 231. 3*(q - 1)*(16*q + 77) What is h in h**3 - 1476*h**2 + 2949*h - 1474 = 0? 1, 1474 Factor 3*t**3/8 - 12*t**2 + 699*t/8 + 399/4. 3*(t - 19)*(t - 14)*(t + 1)/8 Suppose -p**4/3 - 791*p**3/3 + 2383*p**2/3 + 791*p/3 - 794 = 0. Calculate p. -794, -1, 1, 3 What is a in -12*a**5/5 - 1256*a**4/5 - 24372*a**3/5 - 55064*a**2/5 + 24384*a/5 + 11264 = 0? -80, -22, -8/3, -1, 1 Find i such that -2*i**5 + 108*i**4 - 944*i**3 - 108*i**2 + 946*i = 0. -1, 0, 1, 11, 43 Find r, given that -r**2 + 25433*r - 25432 = 0. 1, 25432 Factor 3*z**2/4 - 33207*z + 664065/4. 3*(z - 44271)*(z - 5)/4 Fac
{ "pile_set_name": "DM Mathematics" }
). What is the third biggest value in 3, v, -0.3? -0.3 Let n = -0.24 + -0.06. Let a = n + 0.8. Let h = 0 + 0.4. What is the third biggest value in a, h, -2? -2 Let o be 7/((-7)/2)*(-12)/64. Which is the second biggest value? (a) 1/6 (b) o (c) -4 a Let c(s) = s**3 + 7*s**2 + 8*s + 8. Let b be c(-6). Let d = -6 - -5.9. Let p = 9 + -9. What is the second smallest value in d, p, b? d Let n = -0.4 + -0.1. Let i = -0.8 - -1.3. What is the third smallest value in n, i, 5? 5 Suppose 0*m = -3*t + 5*m - 14, t = -3*m. Which is the second smallest value? (a) 0.5 (b) 0 (c) t (d) -4/3 d Suppose -8 - 4 = -2*u. Let t be (u/(-10))/(30/4). Let g = 3.9 - -0.1. What is the third smallest value in g, t, -2? g Let s = -9.4 - -9. What is the second biggest value in s, 0, -2/15? -2/15 Let k = -6 - -3. Let t = k + -5. Let v be t/33 - (-1)/3. What is the third smallest value in -5, v, -2/7? v Let h = -0.32 + 0.72. Which is the second biggest value? (a) 0 (b) -0.06 (c) h (d) 0.3 d Let y = -14 + 14.09. Which is the second biggest value? (a) -3/5 (b) 5 (c) y c Let j be 35/(-7) - 2*(-3 + 2). Which is the biggest value? (a) j (b) -3/2 (c) -4 (d) 3/7 d Suppose 20*x = 9*x + 44. Which is the smallest value? (a) x (b) -0.1 (c) 1.8 b Let n = -0.05 - 3.95. What is the third smallest value in n, 0.3, -2? 0.3 Let t = -2.344 + 0.044. Let q = -0.3 - t. What is the third smallest value in -1/3, 1/5, q? q Let p = -0.01 + 1.01. Let s = 0 + p. Which is the biggest value? (a) 0.4 (b) -1 (c) s c Let z = 1.03 - 0.03. Let s = -3 + 5. Let n = 7 - s. What is the third smallest value in 3, z, n? n Let r = 0.5 - -0.4. Let d = 0.85 + 0.15. Let o = r - d. Which is the third smallest value? (a) -1/8 (b) 0 (c) o b Suppose 0 = -2*t - t. Let n = 0.8 - 1.2. Which is the second biggest value? (a) t (b) -0.3 (c) n b Let m be 68/(-12) + (-10)/(-15). Which is the smallest value? (a) m (b) -0.2 (c) -0.4 (d) -0.3 a Suppose -2*b + 2 = -2*j, -3*j = -4*b + 2*j. What is the third smallest value in b, 4, 2/7? b Let q be (2 + (-21)/10)/1. What is the third smallest value in 1/4, -6, q? 1/4 Let w be (-9929)/76 + 12/16. Let o = 130 + w. Which is the third biggest value? (a) -4 (b) o (c) 2/9 a Let f be (-8)/120 - (-1)/5. Let i(h) = h + 4. Let z be i(-8). What is the third smallest value in -0.5, f, z? f Let f = 632/9 + -70. Which is the fourth biggest value? (a) 4 (b) f (c) -4/7 (d) -3/5 d Let r = -552/7 + 79. Let m = -4.87 + -0.13. Let p = -8 - m. Which is the smallest value? (a) p (b) r (c) -2/5 a Suppose 3*t = 4*y + 20, 0*y + 5 = -y. Let i = -11 - -2. Let s be 18/i*(-1)/17. Which is the second biggest value? (a) -1/5 (b) t (c) s b Let p be (26/8)/(-1) - -3. What is the second biggest value in -4, 5, p, 1? 1 Let d = -13 + 6. Let m be 4/14 - (-1)/d. What is the biggest value in 4, -0.2, m? 4 Let x = 5 + -6. Let i = 407 + -411.93. Let y = i + -0.07. Which is the biggest value? (a) y (b) x (c) 5 c Let j = 0.09 - -0.01. Let w = -0.3 + j. What is the second smallest value in -0.5, 1/4, w? w Let k(z) = 21*z + 1. Let l be k(2). Let c = -85 + l. Let a be 6/10 - c/(-45). What is the second biggest value in 5, -2/17, a? -2/17 Suppose 0 = -n + 4*h - 10, 3*n + 2 = -h - 2. Which is the biggest value? (a) n (b) -2/7 (c) -3 b Let w be ((-32)/(-6) - 7) + 2/(-6). What is the third biggest value in 12, w, -3/5, 0.3? -3/5 Suppose -r - 13 = -5*s + 15, r + 4*s = 17. Let u be (-12)/27*r/6. Let w = 0.1 + -0.2. What is the biggest value in u, -0.2, w? u Let v = 42 + -42.3. What is the smallest value in -6/11, v, -2/13? -6/11 Let h = -0.478 - 0.022. What is the second smallest value in h, 1/3, -2/3? h Let i be (-2)/5 - 101/(-265). Let f = 155/212 - i. Let j be 4/2*2/16. Which is the smallest value? (a) j (b) f (c) 0.4 a Suppose -3*a = -h - 2*a - 6, 2*a - 15 = 5*h. What is the second smallest value in -0.1, 2, h? -0.1 Let p = 26 - 28. Which is the biggest value? (a) 5 (b) 2 (c) p a Let k = -0.01 + -0.39. Let q be ((-4)/(-3) - 2)/(-4). What is the third biggest value in q, k, -2? -2 Let k be (5 - 1)/(-2) + 2. Let d = -1 - k. Let y = 22 - 25. Which is the second biggest value? (a) y (b) d (c) 3 b Let p be (-2)/(-10)*-2*5. Let v = -6 - -5. What is the second biggest value in v, 4, p? v Let z be 3*10/45 - 0. Let s = -1 + 0.5. Let q = -0.3 - s. What is the second biggest value in q, z, -0.3? q Let f = 79/765 + 2/255. Which is the biggest value? (a) 0.8 (b) 3 (c) f b Let t = 0.26 + 0.14. What is the smallest value in -0.5, t, -4? -4 Let o be -17*1 + -2 + 4. Let i be (-2)/6 + 4/o. Let l be (0 - 0)/(-2 - -4). Which is the second biggest value? (a) l (b) i (c) 0.5 a Let y = -131.53 + 131. Let t = y - -0.5. Let w = -2.03 - t. Which is the third smallest value? (a) 3/8 (b) -0.5 (c) w a Suppose 2*u - 4*u - 6 = 0. Let j be 4*-2*(-1)/2. Which is the smallest value? (a) 3 (b) u (c) j b Let i = -3 - -1. Let o be (-3)/2 - (-3)/i. Let s = -2 - -2. What is the smallest value in 4, o, s? o Let q be ((-155)/39 + 4)*(4 - -2). What is the third smallest value in 0.5, -1, q? 0.5 Suppose 0 = -2*z - 2, 5*i + 19 = 4*i + 3*z. Let d be 8/i*(-1)/(-4). Which is the second smallest value? (a) -1/2 (b) 0.4 (c) d c Let k be (-2*2/(-12))/(-1). Let s = 5.26 - 0.06. Let y = 5 - s. What is the second smallest value in 4/3, k, y? y Let m be (-136)/(-84) + 4/(-3). What is the second biggest value in 4/7, -5, m? m Let t = -0.1 + -0.3. Let d = 10 + -5. Let v = -0.1 + 0.1. Which is the third biggest value? (a) v (b) t (c) d b Let g = 0.18 - -12.82. Let d = g + -12.9. Suppose -4*k + 10 = b, -3*k + 5*b + 13 = 3*b. What is the third smallest value in d, k, -5? k Let h be 6*(-112)/(-324) + -2. What is the third biggest value in h, -5, -2? -5 Let g = 1.9 + -2. Let o = 0.33 - 0.53. Which is the third smallest value? (a) g (b) o (c) -4/7 a Let t = 11.7 + -12. Which is the smallest value? (a) t (b) -17 (c) 2/7 b Let u = 0 + -4. Let p be (-5)/(-20) - (-13)/u. Let j = -6/37 + 128/333. Which is the biggest value? (a) j (b) p (c) 3 c Let h be (16/(-4))/(-20)*8/(-12). Which is the second biggest value? (a) 5 (b) h (c) -0.3 (d) 0.4 d Let n = 208 - 206. Let p = -0.11 + -4.89. What is the smallest value in p, n, 1? p Suppose -4*c = 3*x + 513, -3*c - 322 = 5*x + 60. Let s = c + 513/4. What is the smallest value in s, 2/9, 0.1? s Let b = 0.63 + 1.37. What is the biggest value in 1, b, 8? 8 Let c(u) = 9*u**2 + 2*u - 1. Let w be c(-2). Let q = w + -218/7. Let f = -3 - -3.1. What is the biggest value in 2, q, f? 2 Let g = 4/15 + -31/60. Suppose 0 = 4*n - 6*n. What is the third smallest value in g, 5, n? 5 Let i = 48.4 - 48. What is the second smallest value in -1/7, i, -3? -1/7 Suppose -3*z + z - 4 = 0. Let l be -2 + z + (-11)/(-3). Which is the biggest value? (a) -0.3 (b) l (c) 5 c Let o = 3.2 - 3. Let g = -7.86 + -0.14. Let p = -7 - g. Which is the second biggest value? (a) o (b) -3 (c) p a Let u be ((-3)/(-8))/((-54)/24). What is the third smallest value in 3/7, -3, u, 5? 3/7 Let i be 4 + -5 - (-3)/7. Let q = 1.3 - 1. Let d = -0.1 + q. Which is the third biggest value? (a) 2/3 (b) d (c) i c Let r = -0.029 - 0.271. What is the smallest value in -5/3, 5, r, 1/5? -5/3 Let r = -95199 - -11328833/119. Let f = -12/17 + r. Let b = 117 + -113. What is the third biggest value in f, b, 2? f Let p = 36 - 24. Let t = -1.4 - 5.6. Let a = p + t. What is the third smallest value in 0, a, -4? a Let a = 0.218 + 0.082. What is the second biggest value in 2, -1.2, a? a Let u = 6 + -6. Let b = 4 - u. Suppose 2*y = y. What is the second smallest value in 1/4, b, y? 1/4 Let x be (2/10)/((-6)/15). Let d = 39 - 42. What is the third biggest value in d, 2, x? d Let q = -0.03 - -0.11. Let v = -3.92 - q. Which is the biggest value? (a) -0.2 (b) -0.1 (c) v b Let y = -0.036 - -0.136. Which is the fourth biggest value? (a) 3 (b) y (c) 3/7 (d) -2/9 d Suppose 1 = -2*x + 9. Which is the third biggest value? (a) x (b) 3 (c) 5 b Suppose -11*d + 2*d = 36. Which is the second biggest value? (a) -2/15 (b) d (c) -1 c Let n be (-1)/(-14)*2/(-1). Let j = -0.64 + 0.84. Which is the third smallest value? (a) 3/7 (b) n (c) j a Let d = -7 - -8. Let t = d + 5. Let n = t - 6.5. What is the smallest value in 0, 4, n? n Let l =
{ "pile_set_name": "DM Mathematics" }
+ m and give c. 2 Express (-d + 2*d**2 + d)*(0 + 6*d + 4*d + 1) as h*d**2 + g + a*d + s*d**3 and give h. 2 Rearrange o**2 + 3*o**2 - 2*o**2 - 1 + 11*o to the form t + x*o + g*o**2 and give x. 11 Express 15*w - 2*w**2 - 13*w + 3*w**3 - 4 - w**3 as h*w**2 + n*w + t + l*w**3 and give n. 2 Express v**3 - 2*v + 2*v + (-4 + 4 + 5*v**2)*(5*v + 5 - 5) as r + b*v + u*v**2 + h*v**3 and give r. 0 Express (-4*x - 2*x - 2*x)*(-1 + 0 + 3) as f + l*x and give l. -16 Express 0*f - 3*f**2 - f + f**3 - f in the form b*f + h + m*f**2 + l*f**3 and give b. -2 Rearrange -2*p**3 - 5 - 1 + 5*p**3 to i*p**2 + c*p + l*p**3 + d and give d. -6 Rearrange -3*k + 0*k - 2*k + (0 + 1 - 2)*(2*k + 0 + 0) + (0 - 3 + 5)*(2*k + 2*k - 3*k) to d + o*k and give o. -5 Rearrange (-1 + 1 - 1)*(-3*v + 160 + 5*v - 157) to t + f*v and give t. -3 Express -159*n - 9 + 11 + 97*n + (-5*n + 6*n + 0*n)*(-2 + 1 + 2) as a + z*n and give z. -61 Rearrange -1 + g + 1 + (1 + 1 - 1)*(2 - 1 + 0)*(-2*g - 6*g + 3*g) to p*g + r and give r. 0 Express 3*g**4 + 0*g**4 - 7*g**4 + (g - 4*g**2 + 3*g**2 + g)*(2*g**2 - 7 + 7) as a*g**3 + o + w*g + f*g**2 + t*g**4 and give a. 4 Rearrange -3*h**3 - 4*h**3 + 3*h**3 + 2*h**3 - 2*h**2 to r + f*h**2 + w*h + g*h**3 and give g. -2 Rearrange -378*f**3 + 377*f**3 - 7*f - 9*f to the form y*f**3 + d*f + o + v*f**2 and give y. -1 Rearrange -44*h - h - 101*h to the form a*h + j and give a. -146 Express (-d**3 + d**3 + d**3)*(-d - d + d) + 2*d - d**4 + 0*d + 2 + 0*d**4 as n*d + a*d**2 + i*d**4 + h + b*d**3 and give i. -2 Express -7 - 5 + 12 + 27*v in the form d + j*v and give j. 27 Express -v**4 + 1 - 5*v + 15*v + 9*v - 2*v in the form g*v**2 + s*v**3 + p*v + u + l*v**4 and give u. 1 Express r**2 - 8*r**3 - r**2 + 7*r**3 - 12*r as l*r**3 + a*r + c*r**2 + k and give c. 0 Express (2*a**2 - a**2 + a**2)*(-3 - 9*a + 3) + (0*a + 3*a - a)*(2*a - 2*a - a**2) in the form r*a + v + g*a**2 + t*a**3 and give t. -20 Rearrange -2*z**3 + 17 - 8*z**3 - 14 to i*z**3 + p + c*z**2 + g*z and give i. -10 Rearrange 6*d - 3*d**2 + d**2 - 15 - 6*d to g*d + l + k*d**2 and give k. -2 Express 0*a**2 - 166*a**3 + 0*a**2 + 167*a**3 - 3*a as w*a**2 + s*a**3 + x + p*a and give p. -3 Express -3*x - 3*x + 29*x as z + r*x and give r. 23 Rearrange 7*q - q**3 - 7*q + (-2*q**2 + q**2 + 0*q**2)*(-q - 2*q + 5*q) + 2*q - 2*q - 4*q**3 to the form u*q**2 + s*q + b*q**3 + z and give b. -7 Rearrange (-10 + 1 + 3)*(3*f + 3*f - 4*f + (2 - 1 + 2)*(-f + 2*f - 2*f)) to q*f + w and give q. 6 Rearrange (-2*m - 10*m - 3*m)*(5 - 2 - 2)*(2 + m - 2)*(0*m + 2*m**2 + 0*m) to the form g*m + j*m**3 + n*m**4 + q*m**2 + z and give n. -30 Rearrange 23*z + 4*z - z to v*z + u and give v. 26 Express -4*z + 4*z + 26*z**2 - 7*z**2 - z in the form w*z + x + p*z**2 and give p. 19 Rearrange (-65 + 13*f + 65)*(-1 - 2 + 0 + (2 + 0 - 1)*(1 + 0 + 5)) to the form q*f + o and give o. 0 Rearrange -101*w**2 + 2*w**3 + 6 - 3*w + 101*w**2 to the form a + i*w**3 + d*w + l*w**2 and give d. -3 Express (-z - 19*z - 3*z)*(-2*z - z + 4*z)*(-2*z + z**2 + 2*z) in the form w + r*z**3 + b*z**4 + g*z**2 + a*z and give b. -23 Express -o - 2*o**3 + 3*o**2 + 3*o**3 - 6*o**4 + 4*o**4 as c*o**3 + w*o**4 + j*o + r + l*o**2 and give j. -1 Rearrange -4*p - 10*p**3 - 2*p + 2*p**4 + p**4 + 8*p**3 to l + o*p**3 + s*p**4 + x*p + b*p**2 and give s. 3 Rearrange (3*y - 3*y + 2*y**3)*(-3*y - 7*y + 6*y)*(-2 + 1 + 4) to the form c*y**4 + v + q*y + k*y**2 + j*y**3 and give c. -24 Express 2*w + 2 - 32*w**2 - 3 - 5*w**3 + 65*w**2 - 32*w**2 as y + j*w + p*w**3 + v*w**2 and give y. -1 Express -6 - 3*v**2 + 4*v**2 + 8*v**2 + 7 in the form n*v + b*v**2 + g and give g. 1 Express 2*t**2 + 5*t**4 - 10 - 4*t**4 - 3*t**2 as d*t**3 + r*t**4 + s*t**2 + l + m*t and give s. -1 Rearrange 39 - s + 36 - 116 + 44 to the form o + a*s and give o. 3 Express b**3 - 2*b + 0 + 3*b + 0*b**3 + 1 - 3*b**4 in the form x*b**3 + i*b**4 + m + q*b + h*b**2 and give i. -3 Rearrange -c - 99*c**4 + 0*c**3 - c**3 + 101*c**4 to z*c**3 + v*c + r*c**4 + p + g*c**2 and give r. 2 Rearrange -3*o**2 + 6*o**2 - 11 + 11 + 2*o to t*o + i + j*o**2 and give j. 3 Rearrange -r**3 + 7 + 24*r - 24*r to a + n*r + j*r**3 + b*r**2 and give a. 7 Express 12 - 2*q - 10 - 2*q**3 - 4*q in the form k*q**2 + l*q + g*q**3 + z and give k. 0 Express -2*k**2 + 5*k - k**3 - 4*k**4 - 5*k + 2*k**3 - 2*k as g + y*k + c*k**3 + t*k**4 + r*k**2 and give r. -2 Rearrange 2 - 33*a**2 - 6*a**2 - 23*a**2 + 3*a**2 to d + s*a**2 + t*a and give d. 2 Express (-2*n + n + 2*n)*(2 - 2 - 1) + 9*n - 20*n + 13*n - 7 in the form p + m*n and give p. -7 Express -3*y**2 - 5 + 6 + y**2 + 3*y**2 + 0*y**2 - y**2 + 2*y**2 + 5*y**2 - 4*y**2 + (-2*y**2 + 2*y**2 + y**2)*(6 - 3 - 1) as q*y**2 + x*y + p and give q. 5 Express 6*c - c + 12*c in the form w + h*c and give h. 17 Express -2*i**2 - 2*i**3 + i**2 + i**4 + 4*i + i**4 in the form r*i**4 + l*i**2 + h*i**3 + m*i + p and give h. -2 Express -7*m**3 + m**4 - 3*m**4 - 3*m - 49*m**2 + 47*m**2 + m as c*m**3 + h*m**2 + v + o*m + y*m**4 and give o. -2 Rearrange -2 + 66*m**4 - 63*m**4 + 6*m + m**3 - 5*m to w*m**4 + i*m + f*m**2 + h + c*m**3 and give w. 3 Rearrange 7*z**4 - 6*z**4 + 5 - z**2 + 2*z**3 - 3 to m*z**3 + p + v*z + y*z**4 + r*z**2 and give p. 2 Express -1295*k - 1 + 1 + 1219*k in the form d + n*k and give n. -76 Express -i + 3*i + 0*i + i + 3*i - 3*i + (3 - 3 + 4)*(-1 - 2*i + 1) + (-2*i - 2*i + 3*i)*(1 + 0 + 1) in the form o + m*i and give m. -7 Rearrange 1 - 11*d**2 + 0 - 3 + 8*d**2 to the form y + o*d + v*d**2 and give y. -2 Express 6*x + 8 - 3*x - 14 + 2*x**3 as l*x**3 + m + y*x + i*x**2 and give m. -6 Rearrange -3*v**2 + v**3 + 6*v**3 - 2*v**3 to the form j*v**2 + u + p*v**3 + t*v and give j. -3 Rearrange (-4*q**2 - q**2 - 17*q**2)*(-3 + 0 + 1) + 3*q**2 - 2*q**2 - 2*q**2 to t*q**2 + k + o*q and give t. 43 Rearrange -b - 4*b**3 - 19*b**3 + 1 + b**2 + 2*b to the form v*b**2 + h*b**3 + u + o*b and give o. 1 Express -17*m + 58*m + 32*m as r + t*m and give t. 73 Express 0*d - 3*d + 3*d**2 - 13*d**3 - 10*d**3 + 25*d**3 as o*d + x*d**2 + b + r*d**3 and give o. -3 Express z + 6*z + 5*z as t*z + h and give t. 12 Express -10 - 13372*k - 4*k**2 + 32 + 13372*k as y + o*k**2 + t*k and give o. -4 Express -9*a**2 - 8*a**4 + 2 + 7*a**4 + 10*a**2 - a**3 in the form y + x*a**3 + b*a**2 + h*a**4 + i*a and give b. 1 Express 0*h**3 - 4*h**3 + 0*h**3 + (h**2 + 3*h**2 - 3*h**2)*(3*h + 0*h - 7*h + (3 - 1 - 3)*(2*h - 5*h + 4*h)) as v*h**2 + p*h**3 + s*h + y and give p. -9 Rearrange (-1 + 1 + k)*(6 + 5 - 6) - 24 + 41*k + 24 - 109*k to z + y*k and give y. -63 Express 2*a - a + a + (0*a - 3*a + 2*a)*(2 - 3 - 1) + 11*a - 7*a + 54*a in the form w*a + x and give w. 62 Express -5*u - 3 + u**2 - 8*u + 3 as s + h*u + p*u**2 and give p. 1 Express (-2*k**4 + 2*k**4 + 2*k**4)*(213 - 812 + 439) + k**4 + 2*k**2 - 2*k**2 as d*k**3 + s*k**4 + o*k + f + g*k**2 and give s. -319 Rearrange -13*c + 0 + 23*c + 0 to the form i + r*c and give r. 10 Rearrange (-4839 + v**2 + 4840 - 5*v + 0*v**2)*(5*v + 0*v - 3*v) to z*v**3 + o + f*v + x*v**2 and give f. 2 Rearrange -23*m + 255 + 263 - 518 - 2*m**2 to the form h*m + p + z*m**2 and give z. -2 Rearrange -23*u**2 + 44 - 27*u**2 + 48*u**2 to s*u + b + m*u**2 and give b. 44 Express -140 + 140 - 10*r + 3*r as j + p*r and give p. -7 Express -78*t - 31*t - 16*t as x*t + w and give x. -125 Express 26*q - q + 20*q in the form c*q + r and give r. 0 Express -15*z**3 - 2*z**3 - 4*z + 3*z + 0*z in the form m + k*z**2 + l*z + r*z**3 and give l. -1 Express -1 + 1 - c**2 + (c - 8*c - 2*c)*(c - 5*c + 3*c) as o*c**2 + p + q*c and give o. 8 Express (-6*n**2 + 4*n**2 + 4*n**2)*(0 + 1 - 2)*(-45 - 5 + 5) in the form f + r*n**2 + x*n and give r. 90 Rearrange (85*f**2 + 50*f**2 - 84*f**2)*(2*f - 4 + 4) to b*f**2 + j*f + g + v*f**3 and give v. 102 Express -7*x**3 - 3*x**2 + 2*x**2 + 0*x**2 - 1 in the form p*x**2 + v + g*x**3 + b*x and give g. -7 Express -10 + 11 + 31*h - 6*h as k*h + y and give k. 25 Rearrange (-2*u**4 + u**2 + 5*u - 7*u + 4*u**2)*(4 - 3 - 3) to a*u**4 + t*u + m + w*u**3 + g*u**2 and give a. 4 Rearrange 30*i - 30*i - 2*i**2 + 14 to the form t*i + n + d*i**2 and give d. -2 Express (-14 - 15 + 22)*(2*r**2 + 0*r**2 - 3*r**2 + (4*r - 2*r + r)*(6*r - 2*r - 3*r)) in the form w*r + v + k*r**2 and give k. -14 Express (w + w + w)*(-6 + 2
{ "pile_set_name": "DM Mathematics" }
12. Calculate m*i(u) + 3*k(u). 8*u**3 Let c(b) be the third derivative of 0*b - 7/24*b**4 + 0 - 196*b**2 + 0*b**3 + 1/15*b**5. Let h(v) = 4*v**2 - 6*v. Calculate -6*c(a) + 7*h(a). 4*a**2 Suppose -16 = -4*m, -k - 6 - 7 = -3*m. Suppose -2*h + 4 = 4*y, -y - 12*h - 14 = 31. Let o(w) = w. Let l(u) = 4*u + 2. What is k*l(b) + y*o(b)? -b - 2 Suppose -2*t - 36 = 2*t. Let g be ((-3)/t)/(2*4/72). Let j(y) = y**2 + 3*y - 4. Let p(r) = -r**2 - 4*r + 5. Determine g*p(l) + 4*j(l). l**2 - 1 Let f(x) = -2*x**3 - 17*x**2 - 2. Suppose 54*u - 394 = 5*u + 145. Let m(w) be the first derivative of -w**4/4 - 3*w**3 - w + 1. Calculate u*m(s) - 6*f(s). s**3 + 3*s**2 + 1 Let w(b) = -11*b. Let u be -10*(13 - 14) - -3. Let c(o) = -7*o - 13*o - 3*o. Calculate u*w(l) - 6*c(l). -5*l Let m(s) = -25719*s**2 - 54. Let b(k) = -3674*k**2 - 8. Calculate 27*b(c) - 4*m(c). 3678*c**2 Let n(a) = 4*a + 17. Suppose 69*g - 76*g = 119*g - 630. Let m(v) = 3*v + 16. Calculate g*n(y) - 6*m(y). 2*y - 11 Let i(t) = 71*t**3 - 13*t**2 - 9*t - 13. Let n(b) = 76*b**3 - 15*b**2 - 11*b - 15. Determine 6*i(k) - 5*n(k). 46*k**3 - 3*k**2 + k - 3 Let i(x) = -5*x**2 + 15*x + 2. Let h(r) = 3*r**2 - 19*r - 3. Give 2*h(z) + 3*i(z). -9*z**2 + 7*z Let j(k) = 21*k**3 + 13*k**2 - 36*k + 17. Let f(b) = 7*b**3 + 5*b**2 - 13*b + 6. What is -11*f(u) + 4*j(u)? 7*u**3 - 3*u**2 - u + 2 Let n(k) = -6*k**3 - 403*k - 2. Let o(y) = -34*y**3 - 2013*y - 11. What is -11*n(m) + 2*o(m)? -2*m**3 + 407*m Let x(z) = z**2 + 11*z + 4. Let g be x(5). Let p be g*(4 + 38/(-8)). Let b(f) = -9*f**2 - 21*f - 21. Let u(d) = d**2 + 2*d + 2. What is p*u(m) - 6*b(m)? -9*m**2 Let r(p) be the third derivative of -p**6/120 + p**5/60 + p**4/12 + 5*p**3/6 - 6*p**2 - 9*p. Let d(h) = h**3 - 3*h - 5. Calculate -2*d(n) - 3*r(n). n**3 - 3*n**2 - 5 Let j(i) = -i**3 + 7*i**2 + 11*i + 72. Let w be j(9). Suppose 0 = -h - 4*n + w, -n = n - 8. Let r(d) = -6*d + 7. Let o(l) = -3*l + 4. What is h*o(b) + 4*r(b)? -3*b Let f(z) be the second derivative of z**3/6 + 2098*z. Let y(r) = -17*r - 1. Give 6*f(w) + y(w). -11*w - 1 Let v(j) = -8*j - 2. Let r(d) be the third derivative of 0 - 17/24*d**4 + d + 39*d**2 - 5/6*d**3. Give -2*r(b) + 5*v(b). -6*b Suppose 5*m - 7 = 2*d, -m = -d + 3*d - 11. Let j(q) = -5*q + 3*q - q**2 + 4*q**m + 0*q - q**2. Let c = -941 + 936. Let b(t) = t**3. Calculate c*b(h) + j(h). -h**3 - 2*h**2 - 2*h Let i(f) = -3182*f**3 - 4*f**2 + 24. Let d(u) = -3183*u**3 - 3*u**2 + 18. Calculate -4*d(k) + 3*i(k). 3186*k**3 Let b(a) = -65*a**2 - 2*a + 23. Let l(z) = -32*z**2 - z + 10. Calculate -2*b(c) + 5*l(c). -30*c**2 - c + 4 Let w(b) = b - 10. Let h(f) = f - 2524. Determine h(g) + w(g). 2*g - 2534 Let m(y) = 5*y**3 - 2*y - 1. Let d(l) = -11*l**3 + l**2 + 4*l + 2. Suppose 920 + 67 = -141*a. Calculate a*m(o) - 3*d(o). -2*o**3 - 3*o**2 + 2*o + 1 Let a(w) = -w. Let b(x) = x**2 + 33*x + 202. Let k be b(-25). Let d(h) = 23*h + 29*h + h**2 - 53*h - 2*h**k. What is -2*a(y) + d(y)? -y**2 + y Let f(l) = -5*l**2 + 15*l + 8*l - 16 - 7*l - 9*l**2 + 0*l. Let t(x) = 2 + 3*x**2 - 3*x + 4 - 3. What is -3*f(z) - 16*t(z)? -6*z**2 Let x(b) = 2*b + 4. Let d be x(3). Let u = d - 0. Let j(k) = -9*k**3 - 10*k**3 + 1 + 28*k**3 - k - u*k**3. Let i(c) = -8*c**3 - 8*c + 6. Give i(h) - 6*j(h). -2*h**3 - 2*h Let j(x) = 9*x**2 - 2*x - 2. Let h = 227 + -243. Let b(f) = -f**3 - 15*f**2 + 18*f + 19. Let o be b(h). Let s(l) = -4*l**2 + l + 1. Calculate o*s(g) - 6*j(g). -2*g**2 - g - 1 Let x(c) = 30*c**2 + c - 311. Let z(y) = -7*y**2 + 78. What is -2*x(r) - 9*z(r)? 3*r**2 - 2*r - 80 Let q(x) = -4*x**2 + 3. Let z be ((-10)/(-10))/(7/2 - 3). Let h(n) = -n**2 - 11 + 26*n**z - 9*n**2. Give -6*h(r) - 22*q(r). -8*r**2 Let d(i) = -9*i**2 - 4*i + 9. Let w(r) = -8*r**2 - 4*r + 5. Let u(n) = 2*d(n) - 3*w(n). Let m(f) = 7*f**2 + 5*f + 3. What is -4*m(x) + 5*u(x)? 2*x**2 + 3 Let x(b) = 5*b**2 - 4*b + 2. Let q(n) = n**2 + 66 - 110 + 45 - n. Determine -3*q(v) + x(v). 2*v**2 - v - 1 Let h(w) be the first derivative of -w**4/4 - w**2/2 + 1. Suppose 200*m - 6994 = -6194. Let t(x) = -x**2 + 4*x - 2. Give m*h(c) + t(c). -4*c**3 - c**2 - 2 Let i(q) = -2*q**2 - 2*q + 34. Let s(h) = 5*h**2 - 50*h - 99. Let m(j) = -3*i(j) - s(j). Let l(k) = k**2 + k - 1. Determine -3*l(c) + m(c). -2*c**2 + 53*c Let c = -434 + 474. Suppose 9*x + c = 19*x. Let f(r) = 5*r + 2. Let b(d) = d. Determine x*b(z) - f(z). -z - 2 Let i(h) = -22*h + 15 - 1 + 28*h. Let g(d) be the first derivative of -3 - 4*d**2 + 4 + 6*d**2 + 4 + 9*d. Give -8*g(p) + 5*i(p). -2*p - 2 Let y(x) = -2284*x**2 - 6*x + 2 + 2276*x**2 + 0*x. Let o(a) = -17*a**2 - 13*a + 5. Give -4*o(s) + 9*y(s). -4*s**2 - 2*s - 2 Let r(x) = -x**3 - x**2 + 1. Let y(f) = 37008394*f - 37008394*f + f**3 + 3*f**2 + 5. Calculate 2*r(a) + y(a). -a**3 + a**2 + 7 Let r(c) = -17*c + 841. Let k(s) = -14*s + 683. Let x(j) = 16*k(j) - 13*r(j). Suppose 0 = 3*p + 2 + 7. Let o(g) = -2*g - 4. Determine p*x(i) + 4*o(i). i - 1 Let r(m) = 10*m + 5. Suppose 4*f - 26 = -2*u, -4*f + 7*u = 11*u - 24. Let g(v) = 19*v + 9. Determine f*r(x) - 4*g(x). -6*x - 1 Let f(v) = 2*v**3 - 5*v. Let o(q) be the first derivative of 3*q**5/20 - q**3 - 98*q - 102. Let r(l) be the first derivative of o(l). Give 6*f(d) - 5*r(d). -3*d**3 Let u(z) = -7*z + 5695. Let t(p) = -11*p + 8542. Determine -5*t(l) + 8*u(l). -l + 2850 Let k(x) = -3*x - 64. Let r(v) = v - 4. Give k(o) + 2*r(o). -o - 72 Let u(h) = h**3 + 37*h**2 - 35*h + 119. Let p be u(-38). Let n(r) = 8*r + 1. Let k(y) = 5*y + 1. What is p*n(v) - 7*k(v)? 5*v - 2 Suppose 3*w - 42 = -3*r, -3*r - w - 22 = -6*r. Let z be (2 + 28/(-8))*(-42)/r. Let k(g) = g + 5. Let i(t) = -2*t - 11. Determine z*k(o) + 3*i(o). o + 2 Let b(i) = 13*i + 91. Let w(v) = 110*v + 726. What is 34*b(d) - 4*w(d)? 2*d + 190 Let w(q) = 25*q + 135. Let y be w(4). Let r(f) = y + f + 0*f - 233 + 2*f. Let o(n) = 3 + n + 6*n - 3*n. Give 2*o(l) - 3*r(l). -l Let w(s) = -52*s + 17. Let b(q) = -103*q + 33. Let i(y) = -3*b(y) + 7*w(y). Suppose 7 + 35 = 6*f. Let c(z) = -5*z - 3 + 6*z + f*z. Determine -20*c(v) - 3*i(v). 5*v Let f(k) be the second derivative of -7*k**5/20 + k**4/3 + 5*k**3/6 + 3*k**2/2 - 112*k - 1. Let m(j) = 4*j**3 - 2*j**2 - 2*j - 1. Determine 2*f(t) + 5*m(t). 6*t**3 - 2*t**2 + 1 Let m(c) = 6*c**3 - 4*c**2 + 5*c - 4. Let d be (-66)/1155 - (-309)/(-105). Let x(t) = -5*t**3 + 3*t**2 - 5*t + 3. Give d*m(n) - 4*x(n). 2*n**3 + 5*n Let h(j) = 1 - 3 + 32*j - 12*j - 10*j + 5*j. Let m(x) = -x. What is -h(d) - 6*m(d)? -9*d + 2 Let v(a) = 2*a + 4. Let d(r) = 4*r + 9. Let b = 10 + -87. Let m = b + 74. Let k be (-1 - 6/m)*-5. Calculate k*v(w) + 2*d(w). -2*w - 2 Let c(j) = -j**2 + 5*j - 7. Let i = -6 + 9. Let o(s) = i*s + 4*s - 8*s - 3 + 3*s. Suppose -d + 9 = -2*a, 7 + 5 = 4*d. Give a*c(p) + 7*o(p). 3*p**2 - p Let c(g) = -g**2 + 316*g - 23. Let x(h) = 6*h**2 - 2216*h + 164. Determine -20*c(q) - 3*x(q). 2*q**2 + 328*q - 32 Let f(w) = -2*w**2 + 11*w + 1. Let o = 29 + -23. Let h be -5*(-8)/50*15/o. Let c(b) = -133*b + 138*b - 2*b**h + b**2. What is -5*c(z) + 2*f(z)? z**2 - 3*z + 2 Let p(u) = 1. Let g(b) be the first derivative of -b**2 - 7*b - 1. Let k be 70/(26 - 12) - 6. Give k*g(v) - 5*p(v). 2*v + 2 Let p(z) = -299*z + 252. Let g(l) = 596*l - 465. Determine 6*g(a) + 11*p(a). 287*a - 18 Let g(f) = 4*f + 50. Let n(i) = 3*i + 30. Determine 5*g(m) - 7*n(m). -m + 40 Let d(o) = 513*o**3 + 4*o**2 + 36*o - 1. Let r(q) = 1538*q**3 + 11*q**2 + 99*q - 3. Give 22*d(k) - 8*r(k). -1018*k**3 + 2 Let s(f) = -3*f**2 - 4*f + 17. Let z(p) = -4*p**2 - 5*p + 17. Determine 6*s(b) - 5*z(b). 2*b**2 + b + 17 Let n(r) = -r**2 - 14*r - 1. Let v(w) = 2280*w**2 + 588*w + 42. Calculate 168*n(f) + 4*v(f). 8952*f**2 Let a(u) = -2*u**3 + u**2 - 6*u - 1. Let j(i) = -4*i**3 + 45*i**2 + 3*i - 3. Determine 3*a(r) - j(r). -2*r**3 - 42*r**2 - 21*r Let x(w) = -13*w**3 + 10*w**2 - 7*w + 2. Let z(o) = 39*o**3 - 35*o**2 + 22*o - 7. What is -7*x(a) - 2*z(a)? 13*a**3 + 5*a Let a(k) = 4439*k**2 - 35*k + 5. Let r(c) = 7890322*c**2 - 62216*c + 8888. Give -8888*a(t) + 5*r(t). -2222*t**2 Suppose -13*v = 2*u - 8*v + 11, 4*v = -12. Let h(w) = -9*w. Let l(j) = -j + 6*j - 2*j. Calculate u*h(a) + 7*l(a). 3*a Let t(i) = 56*i**2 - 10*i + 874. Let x(n) = 131*n**2 - 21*n + 1750. What is -7*t(y) + 3*x(y)? y**2 + 7*y - 868 Let m(h) = -110*h**3 + 129*h**2 + 37*h -
{ "pile_set_name": "DM Mathematics" }
5 = 5*o - 14425, -2*z = -4*o + 10248. What are the prime factors of o? 2, 3, 7, 61 Let l = -209 - -432. List the prime factors of l. 223 Suppose 5*b = -6*w + w - 75, b - 2*w = 0. Let c(z) = z**2 + 9*z - 8. Let k be c(b). Suppose k*a = -a + 30. What are the prime factors of a? 2, 5 Suppose 0 = -3*v - 8*v + 781. Suppose -64*t = -v*t + 203. What are the prime factors of t? 29 List the prime factors of -9 - (-8 + 1 + -581). 3, 193 Suppose 0*b = 3*b - 5*m - 320, 0 = -5*b + 3*m + 560. Suppose -b = -10*v + 5*v. Suppose -4*p - 2*j + 26 = -84, 0 = -p + j + v. List the prime factors of p. 2, 13 Let s(n) = n**2 - 7*n + 4. Let x be s(5). Let q = 24 + x. What are the prime factors of q? 2, 3 Suppose 3*g = -3*n + 12, 5*n - 2 + 7 = 0. Let b(d) = d**3 - 4*d**2 - 4*d - 5. Let w be b(g). Suppose -4 = m, w*t - 5*m - 4 = 2*t. List the prime factors of t. 2 Let a = 194 + -124. Let p = a - 59. What are the prime factors of p? 11 Let y(n) = 7*n**2 - 66*n + 27. List the prime factors of y(15). 2, 3, 17 Let x be 2/(2/1)*-14. Let c = 38 + x. Suppose 4*p - 4*s - c = 0, 0 = -2*p + s - 6*s + 26. List the prime factors of p. 2 Suppose 2*k - 8*y - 141 = -3*y, 4*y + 4 = 0. Suppose 5*i = -p + 64, k = i + 4*i - 3*p. What are the prime factors of i? 13 Let v(m) = 7*m - 19. Let k be v(14). Let q = 80 + k. Suppose -9*t + q = -6*t. List the prime factors of t. 53 Let v = 1069 + 119. What are the prime factors of v? 2, 3, 11 Let j(b) = 56*b + 533. What are the prime factors of j(10)? 1093 Suppose 0 = 5*v - 5 - 5. Suppose 6*h = v*h + 408. What are the prime factors of h? 2, 3, 17 Suppose 3*y = 5 + 52. Let g be (3 - 3 - -3) + y. Let w = g - 8. What are the prime factors of w? 2, 7 Suppose -6*g = -3650 - 2032. List the prime factors of g. 947 Suppose 4*x = 3*c + 26, -2*c = 7*x - 4*x - 11. Suppose 4*d - d = u + 28, -u = x*d + 60. What are the prime factors of -3 - (u + -2)/3? 11 Suppose 95*q - 91*q = 3472. What are the prime factors of q? 2, 7, 31 Let y(b) = -2*b - 18. Let a be y(-10). Suppose -4*h + 468 = a*h. List the prime factors of h. 2, 3, 13 Let z = 14 + -11. Suppose 3*f = z + 12. Suppose -68 = -2*m + n, m + 128 = f*m - 4*n. List the prime factors of m. 2, 3 Let a(y) = 1. Let p(h) = -h**2 + 9*h + 6. Let j(l) = 2*a(l) - p(l). Let k be j(9). What are the prime factors of (-2)/((-24)/(-33))*k? 11 Suppose 0 = 3*r, 4*r + 4770 = 3*q - 0*r. List the prime factors of q. 2, 3, 5, 53 Suppose -6*i + i = -0*i. Suppose i = -2*h + 145 - 43. List the prime factors of h. 3, 17 Let d(o) = 4*o + 4. Let i be d(2). What are the prime factors of i + 9/((-9)/(-2))? 2, 7 Let z = -6 + 6. Suppose z = -l + 2*l - 3. Suppose l*j + j - 52 = -2*v, -52 = -4*j - v. What are the prime factors of j? 13 Suppose 0 = r + 4*b - 3*b - 3, 2*r - 1 = -b. Let i be 0 + (0 - 2)/r. Suppose p - 17 = i. List the prime factors of p. 2, 3 Suppose 3*h - 6*h = -15. Suppose 15 = h*x, 0 = -4*q + 3*x + 925 - 102. List the prime factors of q. 2, 13 Suppose 2*p - 1936 = -3*p - 4*n, -780 = -2*p + 4*n. List the prime factors of p. 2, 97 Let v(w) = 9*w + 27. Let u = 55 - 48. What are the prime factors of v(u)? 2, 3, 5 Let t(s) = 81*s + 3. Let m(b) = 163*b + 8. Let c(a) = -3*m(a) + 5*t(a). What are the prime factors of c(-2)? 3, 53 Suppose -6 = 37*c - 38*c. List the prime factors of (-25 - c)/((-3)/6). 2, 31 Suppose -272*q = -268*q - 2744. What are the prime factors of q? 2, 7 Let g = 29 + -23. Suppose -s - 155 = -g*s. What are the prime factors of s? 31 Let w(z) be the first derivative of -1/3*z**3 - 7/2*z**2 - 3 + 9*z. What are the prime factors of w(-7)? 3 Let d(q) = q**2 - 3*q - 10. Let v be d(5). Suppose v = -5*a - 15, 2*b + 0*b + 3*a = -9. List the prime factors of b + (-2)/(-1) - -6. 2 Suppose 3*h - 2*x + 1498 = 5*h, -3*x = 9. Suppose -6*w - 110 + h = 0. List the prime factors of w. 107 Let y be (-35 + 35)/(1 + -1 - 1). Suppose -5*l = -4*g + 656, 3*g + y*g - 2*l - 499 = 0. List the prime factors of g. 13 Let h = 61 + -6. List the prime factors of h. 5, 11 Suppose 0 = -4*g - 43 - 17. What are the prime factors of 526/10 + (-6)/g? 53 Suppose 5 = -s, 0 = f - 5*s + 14 + 1. What are the prime factors of (464/f)/(2/(-10))? 2, 29 Suppose 4*c - w - 23350 = 0, 0 = -13*c + 8*c + 2*w + 29189. List the prime factors of c. 13, 449 Let w = 912 + -383. What are the prime factors of w? 23 Let v be (-12)/(-5)*20/(-6). Let a = v - -15. Suppose 0 = -4*x + 5*d + 11, -3*d - 20 = -4*x - a*d. List the prime factors of x. 2 Let u be (1/2)/(1/4). Let m = -1044 + 1044. Suppose -4*g + u*d = -126 - 96, m = 4*d + 12. What are the prime factors of g? 2, 3 Let d = -2 + 3. Suppose x - d = -2. What are the prime factors of 0 - (5*-4 - x)? 19 Let a(w) = 4*w**2 + 4*w + 4. Let p be a(4). Suppose p = -2*t - t. Let q = t + 42. List the prime factors of q. 2, 7 Suppose -6*w - 20 = -8*w. List the prime factors of (-12)/7*-2*35/w. 2, 3 Suppose -12701 = g - 14*g. List the prime factors of g. 977 Let p(k) be the first derivative of k**3/3 + 4*k**2 + 51*k - 13. What are the prime factors of p(-15)? 2, 3, 13 Suppose 0*q + 12 = 4*q. Suppose 0 = -f - 2*f - 21. Let h = q - f. What are the prime factors of h? 2, 5 Let v be (2/(-2) + -2)*(-4 - -5). Suppose 0*t + 24 = 4*t. What are the prime factors of (-28)/v - t/18? 3 Let h = -11 + 13. Suppose -m + h*m - 2 = 0. Suppose m*w - 2 = 26. What are the prime factors of w? 2, 7 Suppose -6*z - 12*i + 5978 = -8*i, 5*z - 4999 = i. List the prime factors of z. 3, 37 Suppose 7*b - 8*b = 1. What are the prime factors of (49 + -10)*b/(-1)? 3, 13 Suppose -3*n - 5696 = -b, -6842 = 4*b - 3*n - 29635. What are the prime factors of b? 41, 139 Suppose -4*n + 11 = 4*k - 73, k = -3*n + 61. Suppose 0 - n = 5*d. Let x = d - -15. What are the prime factors of x? 11 Let q(l) = -l**3 - 4*l**2 + 2*l + 8. Let o be q(-5). Suppose 0 = 29*w - o*w - 42. List the prime factors of w. 7 Let u = 26 + -17. Let a = u + 5. List the prime factors of a. 2, 7 Let w = 14 + -8. Let l(a) = 28*a**2 - 7*a - 5. Let s(i) = -29*i**2 + 8*i + 6. Let t(h) = w*l(h) + 5*s(h). What are the prime factors of t(-1)? 5 Let s be (-4385)/(-20) + (-3 - 15/(-4)). Suppose s = 11*g - 594. List the prime factors of g. 2, 37 Let h = 18 - 15. Let y be (0/2)/(5 - h). Suppose -d + 14 + 27 = y. What are the prime factors of d? 41 Let g(u) = -9*u**2 - 17*u + 7. Let k(o) = 5*o**2 + 8*o - 3. Let y(f) = 4*g(f) + 7*k(f). What are the prime factors of y(-11)? 2, 3 Let c(h) = 2*h**3 - 2*h**2 - 2*h + 3. Let b be c(2). Suppose b*j - 153 = 4*j. What are the prime factors of j? 3, 17 Let h = 42 - 40. Suppose -30 = -4*p + h*k, -p + 2*k + 38 = 4*p. List the prime factors of p. 2 Let l = -335 - -2686. What are the prime factors of l? 2351 Let m be (-294)/(-2) - (-1 + 0). Let s = m - 71. List the prime factors of s. 7, 11 Suppose 2452 = 5*b - 8. List the prime factors of (-3)/(-6) + b/8. 2, 31 Let b = -65 - -166. List the prime factors of b. 101 List the prime factors of ((-3978)/(-15))/(-5*(-12)/800). 2, 13, 17 Let v = 2344 + -519. What are the prime factors of v? 5, 73 List the prime factors of 516/18*(-18)/(-12). 43 Let p(x) = 2*x**2 + 17*x - 2. Let g be p(-10). Suppose -6*k - g + 460 = 0. List the prime factors of k. 2, 3 What are the prime factors of 1143 - (7 - 14 - -9)? 7, 163 Let y(f) = f**2 - 3*f - 4. Let t be -21 + 25 + 2*1. Let q be y(t). Suppose -3*n = 3*l - 114, q + 76 = 2*l - 5*n. What are the prime factors of l? 2, 5 Suppose 4*c + 4581 = -3*o + 17849, c - 3*o - 3317 = 0. What are the prime factors of c? 31, 107 Let j = -3 + 12. Let t = j - 3. List the prime factors of t. 2, 3 Let p = -1783 + 2789. List the prime factors of p. 2, 503 Let d be 4/16 + (-54)/(-8). Let s(g) = 6*g + 5. Let q be s(d). Let h = q - 17. What are the prime factors of h? 2, 3, 5 Let v = -14 - 16. What are the prime factors of v/(56/(-12) + 4)? 3, 5 Let h(q) = -q**2 - 7*q - 6. Let t be 5*((-48)/10)/3. Let v be h(t). Let n = -4 - v. What are the prime factors of n? 2, 5 Let m be (-14)/(-49) + 6856/14. Suppose -3*q + 5*q + 5*k - 254 = 0, -4*q = k - m. What are the prime factors of q? 2, 61 Suppose -50 = -4*z + 2*h - h, 2*z + 2*h - 30 = 0. Suppose 5*p - 70 = 75. Suppose -6*g + p = -4*g + j, -j = -g + z. What are the prime factors of g? 2, 7 Let o = -2 - -6. Suppose o*f + f = 10. What are the prime factors of 172/8 - 1/f? 3, 7 Sup
{ "pile_set_name": "DM Mathematics" }
**3 + 14*q**3 + q**3 + 6*q**b - 5*q**3. 2*q**2*(q + 1)*(q + 3) Suppose 1070*t**5 + 63*t**2 - 2149*t**5 + 47*t**3 - 15*t**4 + 1080*t**5 = 0. What is t? -1, 0, 7, 9 Let y(o) be the second derivative of -1/8*o**4 + 0 + 1/80*o**5 - 1/24*o**3 + 3/4*o**2 - 91*o. Factor y(u). (u - 6)*(u - 1)*(u + 1)/4 Let m(b) be the second derivative of b**4/3 - 1184*b**3/3 + 175232*b**2 - 3*b - 16. Solve m(s) = 0. 296 Suppose -16*c + 11*c + 15 = 0. Suppose -3*t - 3*b = -30, 5*b = 2*t + c*t. Solve -108*s**2 - 5*s + 5*s**3 + 113*s**2 + t*s = 0. -1, 0 Let t = -504410 + 504413. Let q + 6/7 + 0*q**2 - 1/7*q**t = 0. What is q? -2, -1, 3 Let m be 2/(-4) - (-665)/570. Let a(x) be the second derivative of 1/6*x**4 + 0*x**2 + 0 - 1/10*x**5 - 11*x + m*x**3. Factor a(n). -2*n*(n - 2)*(n + 1) Let y(b) be the first derivative of 3*b**4 + 88*b**3/3 - 114*b**2 - 432*b + 3676. Factor y(s). 4*(s - 3)*(s + 9)*(3*s + 4) Let m(r) = 3*r**2 - 72. Let y be m(-11). Let j = y + -287. Factor 12/7*z**3 + 16/7*z - 2/7*z**j - 24/7*z**2 + 0. -2*z*(z - 2)**3/7 Let p(l) = -4*l + 3*l**3 - l**2 - 3*l - l. Let f be -5*(64/(-20))/(-8). Let m(h) = 48*h**3 - 15*h**2 - 129*h. Let q(i) = f*m(i) + 33*p(i). Factor q(s). 3*s*(s - 2)*(s + 1) Factor -3527*d + 49*d**4 + 20*d**4 - 18060*d**2 + 351*d**4 - 5*d**5 - 8390*d**3 - 5718*d. -5*d*(d - 43)**2*(d + 1)**2 Factor 117 + 129 - 859*y + 467*y + 509*y - 3*y**2. -3*(y - 41)*(y + 2) Suppose -2*k + 4*u = 6, -207*u + 208*u = -17*k + 54. Factor -260642/5 - 2/5*t**4 - 152/5*t**k - 54872/5*t - 4332/5*t**2. -2*(t + 19)**4/5 Factor 3/2*x**3 - 324*x + 0 - 645/2*x**2. 3*x*(x - 216)*(x + 1)/2 Let i be ((-34332)/(-78))/(2/10*-2). Let c = i - -1101. Factor -c - 2/13*q**2 - 10/13*q. -2*(q + 1)*(q + 4)/13 Let a(z) be the third derivative of -z**5/20 - 21*z**4/4 - 185*z**3/2 - 958*z**2. What is y in a(y) = 0? -37, -5 Suppose -5*t + 2*a = -6, 0 = -17*a + 20*a - 6. Suppose -3*v**5 - 55 + 4*v**3 + 6*v**4 - 5*v**t + 61 + 2*v**3 - 3*v - 7*v**2 = 0. Calculate v. -1, 1, 2 Suppose -169 + 109 = -20*o. Let w(m) be the first derivative of -9/5*m**5 + 9/14*m**6 + 0*m + 12/7*m**4 + 4 + 0*m**2 - 4/7*m**o. Let w(s) = 0. What is s? 0, 2/3, 1 Let w(y) be the second derivative of y**5/48 - 53*y**4/96 - 11*y**3/12 - 50*y**2 + 105*y. Let t(p) be the first derivative of w(p). Suppose t(u) = 0. What is u? -2/5, 11 Let i(x) be the first derivative of x**4/18 - 34*x**3/3 - 103*x**2/3 - 310*x/9 - 1148. Factor i(m). 2*(m - 155)*(m + 1)**2/9 Factor 44*l**2 + 0*l + 4*l**3 + 76*l + 60*l**2 - 600. 4*(l - 2)*(l + 3)*(l + 25) Find m such that 3*m + 3*m + 17*m - 3*m + 0*m**3 + 12*m**3 + 6 + 2*m**4 + 24*m**2 = 0. -3, -1 Let u(o) be the first derivative of -o**3/24 + 347*o**2/16 + 525*o/4 + 13066. Solve u(l) = 0 for l. -3, 350 Let w(q) = -2*q**3 + q**2 + q + 1. Let f(x) be the first derivative of -13*x**4/4 + 18*x**3 - 68*x**2 + 124*x - 76. Let d(h) = -f(h) + 4*w(h). Solve d(i) = 0. 2, 6 Let f = 911 + -911. Suppose 4*i - 12 = -f, 5*w - 4*i - 3 = 0. Factor -1/8*d**4 + 0*d + 1/4*d**w + 0 - 1/8*d**2. -d**2*(d - 1)**2/8 Factor -133225/6 - 364/3*l**3 + 132860/3*l - 1/6*l**4 - 21961*l**2. -(l - 1)**2*(l + 365)**2/6 Let l(r) be the first derivative of 2*r**3/3 + 53*r**2 - 220*r + 3164. Determine x so that l(x) = 0. -55, 2 Let c = 72 - 67. Suppose 0 = -v - 2*g + 20, 17 = c*v - 3*g - 122. Solve i**2 - 6 - 13*i + 0 - 8*i + v*i = 0. -6, 1 Let g(q) be the third derivative of -q**5/12 - 11*q**4/4 - 51*q**3/2 - q**2 + 27. Factor g(t). -(t + 3)*(5*t + 51) Let n = 834552 + -834549. Factor 0 - 2*t - 2*t**2 - 1/2*t**n. -t*(t + 2)**2/2 Suppose 0 = 11*g - 13*g + 4. Let d be ((-12)/8)/(g/(-4)). Factor -3*y**3 - 7*y - 12 - 13*y + 8*y**3 - 4*y**2 - y**d. 4*(y - 3)*(y + 1)**2 Let k(u) be the second derivative of u**4/3 + 236*u**3/3 + 234*u**2 - 3*u + 61. Factor k(m). 4*(m + 1)*(m + 117) Suppose 0 = -3*d - 44 + 59. Factor -86*l**4 - 197*l**4 - 624*l**2 + 144*l - 237*l**4 + 916*l**3 - 8*l**d + 108*l**5. 4*l*(l - 2)**2*(5*l - 3)**2 Let s be -2*10/(-16) - 20/16. Let o(b) = 3*b**2 - 4*b + 1. Let q be o(1). Solve 3/11*w**4 + q - 1/11*w**5 + 0*w + s*w**2 - 2/11*w**3 = 0. 0, 1, 2 Suppose 9*q + 4 = -2*l + 37, 0 = 6*q - 3*q - 9. Suppose -14/15*g**4 + 12/5*g**l + 0 - 8/3*g**2 + 2/15*g**5 + 16/15*g = 0. What is g? 0, 1, 2 Let s(z) be the first derivative of 3/20*z**4 + 126 - 12/5*z**3 + 72/5*z**2 - 192/5*z. Factor s(j). 3*(j - 4)**3/5 Let j(a) = -1373*a + 19224. Let z be j(14). Find p, given that -1/4*p**z + 1/4 + 0*p = 0. -1, 1 Let u(x) be the second derivative of -2*x**6/3 + 7*x**5/5 + 43*x**4/3 - 42*x**3 + 36*x**2 - 2208*x - 1. Suppose u(b) = 0. Calculate b. -3, 2/5, 1, 3 Suppose 416*b - 144 = 410*b. Suppose 12*o - b*o = -336. Factor o*r + 10 + 98/5*r**2. 2*(7*r + 5)**2/5 Let y(r) be the third derivative of -r**7/840 - r**6/24 - 67*r**5/240 - r**4/2 - 1800*r**2. Find i such that y(i) = 0. -16, -3, -1, 0 Let t be 5 - ((16 - 10) + -7). Let l(x) be the third derivative of 0 + 0*x**4 + 18*x**2 - 1/24*x**t + 0*x + 1/12*x**5 + 0*x**3. Factor l(r). -5*r**2*(r - 1) Let t(r) be the first derivative of -141 - 505/4*r**2 - 215/3*r - 35/18*r**3. Factor t(y). -5*(y + 43)*(7*y + 2)/6 Let i(u) be the third derivative of -u**9/5040 + u**7/840 + 71*u**4/12 + 51*u**2. Let o(g) be the second derivative of i(g). Factor o(p). -3*p**2*(p - 1)*(p + 1) Suppose 622911*j = 622853*j + 174. Suppose 0 - 2/11*x**j - 12/11*x**2 - 10/11*x = 0. Calculate x. -5, -1, 0 Let d(v) be the first derivative of 25/12*v**4 + 0*v**2 - 11 + 0*v - 1/72*v**6 - 1/8*v**5 - 7/3*v**3. Let u(t) be the third derivative of d(t). Factor u(b). -5*(b - 2)*(b + 5) Let n(m) = 2*m**2 + 48*m - 218. Let d be n(-28). Let l(p) be the first derivative of 0*p**2 - 2*p**3 + 3/4*p**4 + 5/2*p**d + 0*p + 11 + 24/5*p**5. Factor l(z). 3*z**2*(z + 1)**2*(5*z - 2) Determine j so that -1789*j**2 - 17 - 25*j**4 + 2442*j**2 - 8951*j**2 + j**4 - 5556*j**3 - 4143*j - 673 = 0. -230, -1/2 Let m(r) = -2*r**3 - 60*r**2 - 164*r - 50. Let h be m(-27). Factor 12/11*a**3 + 0 + 18/11*a**h + 6/11*a**5 + 0*a + 0*a**2. 6*a**3*(a + 1)*(a + 2)/11 Let o(f) be the third derivative of f**7/280 + f**6/20 + 11*f**5/80 - f**4/4 - 3*f**3/2 + 2323*f**2. Let o(y) = 0. Calculate y. -6, -2, -1, 1 Let n = -2317760/399 - -40695/7. Let v = -56/57 + n. Determine r so that v*r + 1/3*r**3 - 2 - 2*r**2 = 0. 1, 2, 3 Let f(k) be the first derivative of -4*k**5/5 - 216*k**4 - 45784*k**3/3 + 47088*k**2 - 47524*k + 4808. Find v, given that f(v) = 0. -109, 1 What is i in -20/3*i - 2/3*i**2 + 22/3 = 0? -11, 1 Suppose -5*c + 1 = -3*k, 3*k + 4*c - 7 = 10. Suppose 5*n - 20 = 0, -k*n - 6 = -d - 2*d. Suppose o**2 - o**4 - o**3 + o + d - 6 = 0. Calculate o. -1, 0, 1 Let c(p) be the first derivative of 18*p - 1/15*p**5 + 2/3*p**2 + 15 + 1/3*p**4 - 2/3*p**3. Let k(f) be the first derivative of c(f). Find v such that k(v) = 0. 1 Let s(p) = 14*p**3 + 2*p**2 + 7*p - 13. Let r be s(4). Let n = r + -2828/3. Factor -n*m + 2/3 - 1/3*m**2. -(m - 1)*(m + 2)/3 Let u(d) = -4*d**3 - 12*d**2 + 23*d + 35. Let j(q) = -q + 3. Let m(k) = -j(k) + u(k). Factor m(x). -4*(x - 2)*(x + 1)*(x + 4) Let s(f) be the second derivative of -f**7/21 + 2*f**6/15 + 4*f**5/5 - 3*f**4 + 3*f**3 - 128*f + 37. Solve s(h) = 0 for h. -3, 0, 1, 3 Let i(r) = 7*r**3 - 19*r**2 + 67*r + 5. Let q(x) = -2 - 33*x - 110*x**2 - 3*x**3 + 120*x**2 - x. Let w(j) = 2*i(j) + 5*q(j). Factor w(p). -p*(p - 6)**2 Let i(t) be the third derivative of -3/10*t**5 + 0*t - 3*t**3 + 0 + 1/40*t**6 + 11/8*t**4 + 30*t**2. Solve i(b) = 0. 1, 2, 3 Suppose 18819 = -73*t + 124*t. Let x = -369 + t. Suppose -4/7*q**3 + 4/7*q - 2/7*q**4 + x + 2/7*q**2 = 0. What is q? -2, -1, 0, 1 Let h = 4326/85 - 37574/765. Determine k, given that 4/3*k**2 + h + 2/9*k**3 - 10/3*k = 0. -8, 1 Let r be (-148)/(-48) + -1 + (-1)/(-54)*(-2853)/634. Suppose r*l**2 - 16/7 + 12/7*l**3 + 2/7*l**4 - 12/7*l = 0. What is l? -4, -2, -1, 1 Let a = -251413/15 - -16761. Let w(m) be the first derivative of 0*m**3 - 7/18*m**6 - a*m**5 + 0*m**2 + 0*m**4 + 51 + 0*m. Let w(k) = 0. Calculate k. -2/7, 0 Let u = -151 + -116. Let t = 186 - u. Factor 453 - 6*c**3 - 2*c**2 - 6*c**4 - t - 2*c**5. -2*c**2*(c + 1)**3 What is x in 292*x - 113*x + x**2 - 79*x - 84*x = 0? -16, 0 Let w = 142068 + -426190/3. Factor -1/6*u**2 - 98/3 - w*u. -(u + 14)**2/6 Let b(x) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
0 and 172? 4 Calculate the greatest common divisor of 440 and 6512. 88 What is the highest common divisor of 221 and 69241? 17 What is the greatest common factor of 239872 and 256? 256 What is the highest common factor of 7165 and 55? 5 What is the greatest common divisor of 12122 and 38874? 418 What is the greatest common divisor of 5592 and 72? 24 Calculate the highest common divisor of 27136 and 112. 16 Calculate the highest common divisor of 199 and 1513196. 199 Calculate the highest common factor of 411 and 2004858. 411 Calculate the highest common factor of 305 and 136823. 61 Calculate the highest common factor of 747 and 89046. 9 Calculate the highest common factor of 1892577 and 159. 159 Calculate the greatest common factor of 15 and 17845. 5 Calculate the highest common factor of 500 and 48540. 20 What is the highest common factor of 174 and 151757? 29 What is the greatest common factor of 13398 and 602? 14 Calculate the highest common divisor of 405 and 976590. 135 Calculate the greatest common divisor of 162 and 1143. 9 What is the highest common factor of 745604 and 212? 212 Calculate the highest common factor of 108381 and 18659. 397 What is the greatest common divisor of 36 and 53226? 18 Calculate the greatest common factor of 1137472 and 154. 14 What is the greatest common divisor of 322 and 1232? 14 Calculate the greatest common divisor of 13122 and 25488. 54 What is the greatest common factor of 139158 and 972? 162 Calculate the greatest common factor of 894754 and 23226. 1106 Calculate the highest common divisor of 8902 and 14. 2 What is the greatest common factor of 786 and 11634? 6 What is the highest common factor of 46003 and 1028? 257 Calculate the greatest common factor of 3009 and 187. 17 What is the greatest common divisor of 7047 and 4089? 87 Calculate the greatest common factor of 20650 and 350. 350 Calculate the highest common factor of 803 and 2263. 73 What is the greatest common divisor of 52590 and 595? 5 What is the greatest common divisor of 49664 and 18944? 512 Calculate the greatest common factor of 464 and 3472. 16 Calculate the greatest common divisor of 15 and 71727. 3 What is the greatest common divisor of 2493579 and 779? 779 Calculate the highest common factor of 16077 and 14559. 69 Calculate the highest common factor of 240 and 92370. 30 What is the highest common divisor of 106 and 546218? 106 Calculate the highest common divisor of 1025 and 146325. 25 Calculate the greatest common factor of 3103 and 5671. 107 What is the greatest common divisor of 27135 and 567? 81 What is the highest common factor of 14525 and 28469? 581 What is the highest common factor of 154 and 870518? 22 What is the greatest common divisor of 3780 and 399924? 756 What is the greatest common divisor of 27408 and 384? 48 What is the greatest common divisor of 1538304 and 8? 8 Calculate the greatest common divisor of 97 and 1739113. 97 Calculate the greatest common factor of 37920 and 1904. 16 Calculate the greatest common factor of 208 and 1464476. 52 Calculate the highest common factor of 3813405 and 1110. 555 Calculate the greatest common factor of 166 and 465298. 166 What is the highest common divisor of 178 and 439927? 89 What is the highest common factor of 344932 and 8924? 388 What is the highest common factor of 14 and 22558? 2 Calculate the highest common divisor of 5924776 and 208. 104 What is the highest common factor of 3030 and 45? 15 Calculate the highest common factor of 187061 and 21. 7 Calculate the highest common divisor of 42 and 768586. 14 Calculate the highest common divisor of 1387 and 13724. 73 What is the highest common divisor of 21264 and 528? 48 Calculate the highest common divisor of 3584 and 21392. 112 What is the greatest common divisor of 27789 and 8007? 471 What is the highest common factor of 67513 and 1492? 373 What is the greatest common divisor of 11880 and 16720? 440 What is the highest common factor of 225 and 231975? 225 What is the highest common factor of 324 and 1225449? 81 What is the greatest common divisor of 231 and 145068? 231 Calculate the highest common factor of 5 and 9235. 5 What is the greatest common factor of 22 and 39512? 22 Calculate the highest common divisor of 702 and 106002. 702 Calculate the greatest common divisor of 892 and 6500. 4 What is the greatest common factor of 4564912 and 11? 11 What is the greatest common factor of 16 and 1450? 2 What is the greatest common factor of 460 and 92280? 20 What is the greatest common divisor of 416102 and 518? 74 What is the highest common factor of 91910 and 5642? 182 Calculate the greatest common factor of 47306 and 7. 7 Calculate the greatest common factor of 408 and 2729724. 204 What is the greatest common factor of 26369 and 371? 7 Calculate the highest common divisor of 1016210 and 390. 130 Calculate the greatest common divisor of 303 and 1488. 3 Calculate the highest common divisor of 756 and 93. 3 What is the greatest common divisor of 375958 and 2530? 506 Calculate the highest common factor of 2069064 and 1736. 248 Calculate the highest common factor of 2 and 33636. 2 Calculate the highest common factor of 3281 and 30. 1 What is the greatest common factor of 501 and 467099? 167 What is the greatest common divisor of 20637 and 81? 9 What is the greatest common factor of 814 and 1358566? 814 What is the highest common factor of 2256 and 6345? 141 Calculate the highest common divisor of 11 and 319099. 11 Calculate the highest common divisor of 2440242 and 4887. 1629 Calculate the greatest common divisor of 26433 and 66. 33 What is the highest common factor of 992790 and 54? 54 Calculate the highest common divisor of 226321 and 34. 17 What is the highest common divisor of 7 and 2233? 7 What is the highest common factor of 160 and 118540? 20 Calculate the highest common divisor of 4 and 13610. 2 Calculate the greatest common divisor of 13 and 1718977. 13 Calculate the greatest common divisor of 640 and 80480. 160 What is the highest common factor of 60770 and 10030? 590 What is the greatest common divisor of 596 and 13731244? 596 Calculate the highest common divisor of 47664 and 144. 144 Calculate the greatest common divisor of 50 and 8230. 10 What is the highest common factor of 306135 and 225? 45 Calculate the greatest common divisor of 396 and 21312. 36 What is the greatest common divisor of 10518 and 204? 6 What is the highest common factor of 10155 and 195? 15 What is the highest common factor of 1697443 and 55? 11 What is the highest common factor of 600 and 48150? 150 What is the highest common factor of 144 and 47124? 36 What is the greatest common factor of 151633 and 2968? 53 Calculate the highest common factor of 10 and 788770. 10 What is the highest common divisor of 21650 and 13856? 866 What is the greatest common divisor of 84 and 7294? 14 Calculate the highest common factor of 709993 and 341. 31 What is the highest common divisor of 303176 and 4? 4 Calculate the greatest common divisor of 5 and 2083. 1 Calculate the highest common factor of 7697988 and 12. 12 Calculate the greatest common divisor of 933 and 21770. 311 Calculate the greatest common factor of 6 and 981822. 6 Calculate the highest common factor of 66308 and 726. 242 Calculate the greatest common factor of 67 and 1855967. 67 Calculate the greatest common factor of 1332 and 354. 6 Calculate the highest common divisor of 84703 and 355. 71 What is the greatest common factor of 38808 and 8484? 84 Calculate the highest common divisor of 385165 and 376. 47 Calculate the highest common divisor of 144 and 196488. 72 What is the greatest common factor of 2976 and 64? 32 What is the highest common factor of 117 and 190879? 13 What is the highest common factor of 615924 and 24? 12 What is the greatest common factor of 423 and 1101257? 47 What is the highest common factor of 13 and 72748? 13 What is the greatest common divisor of 179751 and 117? 39 Calculate the highest common factor of 42 and 84406. 14 What is the greatest common divisor of 647560 and 40? 40 Calculate the highest common factor of 220 and 16368. 44 Calculate the highest common divisor of 3294 and 1342. 122 What is the highest common factor of 31 and 10819? 31 What is the greatest common f
{ "pile_set_name": "DM Mathematics" }
s the u'th term of 256, 487, 718, 949? 231*u + 25 What is the b'th term of 26, 103, 240, 443, 718, 1071, 1508, 2035? b**3 + 24*b**2 - 2*b + 3 What is the z'th term of 48, 24, -12, -66, -144? -z**3 - 17*z + 66 What is the h'th term of 2, -1, -8, -19? -2*h**2 + 3*h + 1 What is the l'th term of 120, 116, 110, 102, 92, 80, 66? -l**2 - l + 122 What is the q'th term of 1, -43, -109, -191, -283, -379, -473? q**3 - 17*q**2 + 17 What is the l'th term of 6929, 6928, 6927, 6926, 6925? -l + 6930 What is the w'th term of -2041, -4084, -6127, -8170, -10213? -2043*w + 2 What is the i'th term of 20, 22, 26, 32, 40? i**2 - i + 20 What is the j'th term of -617, -1237, -1859, -2483, -3109, -3737? -j**2 - 617*j + 1 What is the t'th term of -537, -1072, -1607? -535*t - 2 What is the u'th term of 4758, 9517, 14278, 19041, 23806, 28573, 33342? u**2 + 4756*u + 1 What is the h'th term of 463, 470, 489, 526, 587, 678, 805? h**3 + 462 What is the r'th term of -49, -123, -197, -271, -345, -419? -74*r + 25 What is the a'th term of 230, 456, 666, 854, 1014, 1140, 1226, 1266? -a**3 - 2*a**2 + 239*a - 6 What is the h'th term of 534, 1064, 1594, 2124? 530*h + 4 What is the o'th term of -44, -37, -26, -11, 8, 31, 58? 2*o**2 + o - 47 What is the d'th term of 1095, 1123, 1155, 1191, 1231, 1275? 2*d**2 + 22*d + 1071 What is the v'th term of -71, -72, -73, -74, -75, -76? -v - 70 What is the u'th term of -36, -344, -1190, -2844, -5576? -45*u**3 + u**2 + 4*u + 4 What is the m'th term of -46, -28, 0, 38, 86, 144, 212? 5*m**2 + 3*m - 54 What is the x'th term of -1023, -2039, -3039, -4017, -4967, -5883, -6759, -7589? x**3 + 2*x**2 - 1029*x + 3 What is the w'th term of -46, -102, -166, -238, -318? -4*w**2 - 44*w + 2 What is the s'th term of 65, 79, 113, 173, 265, 395, 569, 793? s**3 + 4*s**2 - 5*s + 65 What is the n'th term of 31, 70, 111, 154? n**2 + 36*n - 6 What is the n'th term of -25, -19, -17, -25, -49, -95? -n**3 + 4*n**2 + n - 29 What is the r'th term of 4, 30, 80, 166, 300? 2*r**3 + 12*r - 10 What is the v'th term of -2, 13, 40, 79, 130, 193? 6*v**2 - 3*v - 5 What is the p'th term of -517, -1043, -1577, -2125, -2693, -3287? -p**3 + 2*p**2 - 525*p + 7 What is the c'th term of -365, -353, -327, -281, -209? c**3 + c**2 + 2*c - 369 What is the p'th term of 34306, 68617, 102930, 137245, 171562? p**2 + 34308*p - 3 What is the i'th term of 1, -4, -19, -50, -103, -184, -299, -454? -i**3 + i**2 - i + 2 What is the g'th term of 22, 36, 58, 88, 126, 172? 4*g**2 + 2*g + 16 What is the c'th term of -139, -290, -451, -622? -5*c**2 - 136*c + 2 What is the z'th term of -40, -138, -292, -496, -744, -1030? z**3 - 34*z**2 - 3*z - 4 What is the z'th term of 8751, 8750, 8749, 8748? -z + 8752 What is the l'th term of 285, 575, 867, 1161, 1457, 1755, 2055? l**2 + 287*l - 3 What is the c'th term of 111, 462, 1053, 1890, 2979, 4326, 5937? c**3 + 114*c**2 + 2*c - 6 What is the j'th term of -1800, -1799, -1798? j - 1801 What is the a'th term of 82, 121, 186, 277, 394? 13*a**2 + 69 What is the z'th term of 249, 297, 331, 345, 333, 289, 207, 81? -z**3 - z**2 + 58*z + 193 What is the v'th term of -5, 21, 63, 121? 8*v**2 + 2*v - 15 What is the h'th term of -24379, -24375, -24369, -24361, -24351? h**2 + h - 24381 What is the k'th term of -38, -12, 62, 208, 450? 4*k**3 - 2*k - 40 What is the k'th term of 10, 26, 44, 64, 86, 110? k**2 + 13*k - 4 What is the b'th term of -542, -571, -648, -797, -1042, -1407? -4*b**3 - b - 537 What is the u'th term of 12, -22, -56, -90, -124, -158? -34*u + 46 What is the r'th term of -22, -47, -74, -103, -134? -r**2 - 22*r + 1 What is the w'th term of 41, 138, 395, 890, 1701, 2906, 4583? 13*w**3 + 2*w**2 + 26 What is the u'th term of -62, -60, -56, -50, -42, -32? u**2 - u - 62 What is the g'th term of 9, -3, -19, -39, -63, -91? -2*g**2 - 6*g + 17 What is the j'th term of -657, -1319, -1983, -2649? -j**2 - 659*j + 3 What is the s'th term of -4462, -4463, -4464, -4465, -4466, -4467? -s - 4461 What is the f'th term of 230, 239, 258, 293, 350, 435, 554? f**3 - f**2 + 5*f + 225 What is the j'th term of -107, -105, -103, -101, -99, -97? 2*j - 109 What is the c'th term of 15, 26, 45, 78, 131, 210, 321, 470? c**3 - 2*c**2 + 10*c + 6 What is the v'th term of 59, 64, 81, 116, 175, 264, 389? v**3 - 2*v + 60 What is the y'th term of 11, 20, 33, 50, 71, 96, 125? 2*y**2 + 3*y + 6 What is the h'th term of 53, 104, 155, 206, 257, 308? 51*h + 2 What is the s'th term of 131, 124, 117, 110? -7*s + 138 What is the m'th term of -110, -66, 0, 82, 174, 270, 364? -m**3 + 17*m**2 - 126 What is the h'th term of 5, 13, 23, 35? h**2 + 5*h - 1 What is the m'th term of -4, -6, -16, -40, -84, -154, -256, -396? -m**3 + 2*m**2 - m - 4 What is the y'th term of -190, -179, -168, -157, -146? 11*y - 201 What is the k'th term of 235, 246, 259, 274, 291, 310? k**2 + 8*k + 226 What is the f'th term of 724, 1447, 2170, 2893? 723*f + 1 What is the t'th term of 14, 39, 64, 89, 114, 139? 25*t - 11 What is the p'th term of 286, 299, 312, 325, 338, 351? 13*p + 273 What is the m'th term of 36, 71, 106, 141, 176? 35*m + 1 What is the u'th term of 4337, 17348, 39033, 69392, 108425, 156132, 212513? 4337*u**2 What is the d'th term of -159, -168, -177, -186, -195, -204? -9*d - 150 What is the t'th term of 2530, 5060, 7590, 10120? 2530*t What is the d'th term of 9, 38, 89, 162, 257, 374? 11*d**2 - 4*d + 2 What is the p'th term of 116, 118, 124, 134? 2*p**2 - 4*p + 118 What is the z'th term of 1561, 3121, 4677, 6229, 7777? -2*z**2 + 1566*z - 3 What is the j'th term of -796, -789, -782? 7*j - 803 What is the m'th term of -1065, -1066, -1067, -1068, -1069, -1070? -m - 1064 What is the r'th term of 1551, 1563, 1581, 1605, 1635, 1671? 3*r**2 + 3*r + 1545 What is the f'th term of 99, 193, 273, 333, 367, 369, 333? -f**3 - f**2 + 104*f - 3 What is the d'th term of 718, 717, 716, 715? -d + 719 What is the w'th term of -135, -141, -147, -153? -6*w - 129 What is the v'th term of -27, -26, -25, -24? v - 28 What is the v'th term of -1020, -1017, -1004, -975, -924, -845, -732, -579? v**3 - v**2 - v - 1019 What is the n'th term of -2, -15, -50, -119, -234, -407, -650? -2*n**3 + n**2 - 2*n + 1 What is the c'th term of -10, 1, 20, 47, 82, 125? 4*c**2 - c - 13 What is the s'th term of 124, 128, 134, 142? s**2 + s + 122 What is the u'th term of -390, -781, -1172, -1563, -1954? -391*u + 1 What is the a'th term of -172, -169, -164, -157, -148? a**2 - 173 What is the f'th term of -64, -63, -50, -19, 36? f**3 - 6*f - 59 What is the q'th term of -33, -45, -59, -75? -q**2 - 9*q - 23 What is the x'th term of -51, -524, -1837, -4410, -8663, -15016, -23889, -35702? -70*x**3 + 17*x + 2 What is the m'th term of -10, 4, 28, 56, 82, 100? -m**3 + 11*m**2 - 12*m - 8 What is the j'th term of -786, -813, -858, -921, -1002, -1101, -1218? -9*j**2 - 777 What is the h'th term of -72, -18, 70, 192? 17*h**2 + 3*h - 92 What is the k'th term of -193, -153, -87, 5, 123, 267, 437? 13*k**2 + k - 207 What is the h'th term of -17, -18, -19, -20, -21? -h - 16 What is the a'th term of 331, 659, 987? 328*a + 3 What is the u'th term of 22, 20, 18, 16? -2*u + 24 What is the b'th term of 194, 303, 412? 109*b + 85 What is the q'th term of -1399, -1418, -1449, -1492, -1547? -6*q**2 - q - 1392 What is the l'th term of -1728, -1727, -1726, -1725? l - 1729 What is the a'th term of -243, -244, -235, -210, -163? a**3 - a**2 - 5*a - 238 What is the d'th term of -65, -89, -139, -221, -341, -505, -719, -989? -d**3 - 7*d**2 + 4*d - 61 What is the h'th term of -18, -41, -64? -23*h + 5 What is the o'th term of -201, -415, -631, -849? -o**2 - 211*o + 11 What is the v'th term of 19, 28, 23, -2, -53, -136, -257, -422? -v**3 - v**2 + 19*v + 2 What is the u'th term of -390, -380, -356, -312, -242? u**3 + u**2 - 392 What is the d'th term of 358, 361, 364, 367, 370, 373? 3*d + 355 What is the y'th term of 11, 110, 379, 902, 1763, 3046, 4835, 7214? 14*y**3 + y**2 - 2*y - 2 What is the q'th term of 2008, 2007, 2006, 2005, 2004, 2003? -q + 2009 What is the t'th term of -41, -157, -359, -653, -1045, -1541? -t**3 - 37*t**2 + 2*t - 5 What is the v'th term of 31, 59, 87? 28*v + 3 What is the w'th term of -408, -409, -410, -411? -w - 407 What is the r'th term of -18, -27, -36, -39, -30, -3, 48, 129? r**3 - 6
{ "pile_set_name": "DM Mathematics" }
iple of 72 and 72. 72 Calculate the lowest common multiple of 14 and 9296. 9296 What is the least common multiple of 12780 and 8? 25560 What is the common denominator of -24/13 and -8/11? 143 Calculate the smallest common multiple of 1056 and 1760. 5280 What is the lowest common multiple of 16 and 128? 128 Calculate the smallest common multiple of 33 and 318. 3498 Calculate the smallest common multiple of 12 and 2312. 6936 Calculate the common denominator of -3/235 and 19/7. 1645 What is the least common multiple of 966 and 2760? 19320 Find the common denominator of 23/2422 and -61/6920. 48440 Find the common denominator of 15/226 and 59/8. 904 Calculate the smallest common multiple of 2 and 22. 22 What is the common denominator of -93/16 and 105/368? 368 Find the common denominator of 2/11 and -34/55. 55 What is the common denominator of 47/1232 and 20/1001? 16016 Find the common denominator of -149/90 and 4/1485. 2970 Calculate the common denominator of 163/504 and -31/11. 5544 Calculate the least common multiple of 13108 and 4. 13108 Calculate the common denominator of -74/27 and 71/78. 702 What is the lowest common multiple of 28 and 140? 140 What is the common denominator of -11/18 and -58/3537? 7074 What is the common denominator of 109/510 and -73/850? 2550 Calculate the lowest common multiple of 4 and 369. 1476 Find the common denominator of -79/442 and -25/13. 442 Find the common denominator of 65/21 and 9/98. 294 What is the lowest common multiple of 84 and 189? 756 What is the common denominator of -85/6 and 85/8? 24 Calculate the common denominator of 11/2 and -41/138. 138 Calculate the smallest common multiple of 270 and 35. 1890 What is the lowest common multiple of 735 and 1960? 5880 Calculate the common denominator of -47/11 and 119/774. 8514 Calculate the lowest common multiple of 6296 and 12. 18888 Find the common denominator of 133/24 and 15/1684. 10104 What is the common denominator of -59/70 and -83/16? 560 Find the common denominator of 71/324 and 25/216. 648 What is the common denominator of 169/30 and 29/8394? 41970 Calculate the common denominator of 47/8 and 37/470. 1880 Calculate the common denominator of 29/128 and -81/16. 128 Find the common denominator of 115/54 and 17/9. 54 Find the common denominator of -59/40 and -53/88. 440 What is the smallest common multiple of 64 and 8? 64 What is the common denominator of -1/6 and -107/1146? 1146 What is the lowest common multiple of 104 and 244? 6344 Calculate the smallest common multiple of 3998 and 5. 19990 Calculate the least common multiple of 50 and 250. 250 Calculate the lowest common multiple of 12 and 207. 828 Calculate the least common multiple of 16 and 3772. 15088 Calculate the common denominator of 15/224 and -61/21. 672 What is the common denominator of 95/4 and -31/5066? 10132 What is the lowest common multiple of 350 and 45? 3150 What is the least common multiple of 224 and 532? 4256 Calculate the least common multiple of 8386 and 8. 33544 What is the least common multiple of 150 and 1248? 31200 Calculate the common denominator of -67/1370 and 149/24. 16440 Calculate the common denominator of -17/12 and -139/1512. 1512 Find the common denominator of -7/18 and 13/186. 558 Calculate the common denominator of 38/243 and -47/81. 243 Find the common denominator of 26/9 and 10/1011. 3033 What is the common denominator of 79/1870 and -107/990? 16830 Find the common denominator of -23/84 and 59/63. 252 Calculate the smallest common multiple of 177 and 30. 1770 Calculate the common denominator of -29/118 and -56/5. 590 Find the common denominator of 7/20 and -35/1342. 13420 Find the common denominator of 173/7140 and 74/3. 7140 What is the lowest common multiple of 195 and 117? 585 Find the common denominator of 109/2250 and 127/1950. 29250 Calculate the smallest common multiple of 39 and 1118. 3354 What is the lowest common multiple of 177 and 39? 2301 Calculate the least common multiple of 90 and 900. 900 Calculate the lowest common multiple of 198 and 132. 396 Calculate the common denominator of 22/21 and 27/5. 105 Calculate the least common multiple of 17685 and 84. 495180 Calculate the common denominator of -101/30 and -53/63. 630 Calculate the lowest common multiple of 18 and 642. 1926 Find the common denominator of -10/99 and 8/27. 297 Calculate the least common multiple of 573 and 1719. 1719 Find the common denominator of -13/6 and -125/238. 714 What is the least common multiple of 5056 and 22? 55616 What is the common denominator of -29/74 and -26? 74 Find the common denominator of -16/9 and 101/74. 666 What is the least common multiple of 8043 and 24? 64344 Calculate the common denominator of -113/110 and -123/110. 110 Calculate the least common multiple of 2096 and 6288. 6288 Find the common denominator of -53/324 and 35/81. 324 What is the lowest common multiple of 621 and 966? 8694 Calculate the common denominator of 13/1770 and 77/590. 1770 Calculate the common denominator of -55/384 and 91/40. 1920 What is the common denominator of 29/26 and -9/70? 910 Calculate the smallest common multiple of 24 and 2. 24 Find the common denominator of -19/49 and 32/7. 49 Calculate the common denominator of -23/20 and 73/224. 1120 What is the lowest common multiple of 18954 and 6? 18954 What is the lowest common multiple of 130 and 20? 260 Calculate the common denominator of 33/10 and 18/8635. 17270 Calculate the smallest common multiple of 44 and 148. 1628 Find the common denominator of -109/550 and 73/330. 1650 Calculate the common denominator of -3/2492 and -40/8099. 32396 Find the common denominator of 61/68 and 85/8. 136 Calculate the smallest common multiple of 4 and 18. 36 What is the common denominator of 67/234 and -155/234? 234 Calculate the common denominator of 37/246 and -101/16. 1968 Calculate the least common multiple of 190 and 5. 190 What is the smallest common multiple of 231 and 2233? 6699 What is the lowest common multiple of 144 and 126? 1008 Find the common denominator of 149/24 and -119/936. 936 Calculate the common denominator of -73/2 and 121/192. 192 Calculate the lowest common multiple of 12 and 24. 24 What is the smallest common multiple of 42 and 10? 210 Calculate the least common multiple of 72 and 192. 576 Calculate the lowest common multiple of 18 and 16. 144 What is the common denominator of 41/10 and 41/38? 190 Find the common denominator of 151/150 and -49/100. 300 Find the common denominator of -29/410 and 21/22. 4510 What is the common denominator of -13/4851 and -22/3969? 43659 Calculate the least common multiple of 1639 and 298. 3278 What is the smallest common multiple of 16 and 308? 1232 Find the common denominator of -76/9 and -8/1515. 4545 Calculate the least common multiple of 63 and 33. 693 What is the least common multiple of 2190 and 50? 10950 Calculate the lowest common multiple of 1 and 125. 125 Calculate the least common multiple of 616 and 22. 616 Find the common denominator of 58/129 and -2/387. 387 What is the least common multiple of 6 and 102? 102 Calculate the least common multiple of 80 and 180. 720 Calculate the smallest common multiple of 9 and 539. 4851 Calculate the lowest common multiple of 243 and 15. 1215 Find the common denominator of 64/21 and 1/21. 21 Find the common denominator of -65/6 and -155/222. 222 Calculate the common denominator of 19/10 and -11/127. 1270 Calculate the lowest common multiple of 96 and 64. 192 Calculate the smallest common multiple of 132 and 22. 132 Calculate the common denominator of -145/234 and 61/9126. 9126 What is the smallest common multiple of 294 and 26? 3822 What is the common denominator of -87/10 and 43/19302? 96510 What is the common denominator of -29/15 and -67/27? 135 What is the common denominator of 131/1062 and 91/60? 10620 What is the common denominator of -133/60 and 91/264? 1320 Calculate the least common multiple of 70 and 40. 280 Calculate the common denominator of 143/2592 and -7/3888. 7776 Calculate the common denominator of 113/3780 and 97/315. 3780 Calculate the common denominator of -33/5 and -3/14. 70 Calculate the common denominator of 79/60 and 109/40. 120 Find the common denominator of -47/21 and 121/84. 84 What is the common denominator o
{ "pile_set_name": "DM Mathematics" }
Determine b(w(v)). -18*v**2 - 204 Let v(s) = -26*s**2. Let d(k) = -219*k + 577. Determine d(v(r)). 5694*r**2 + 577 Let f(v) = -1761818*v. Let m(d) = -4*d. Give m(f(u)). 7047272*u Let y(c) = 84*c**2. Let x(r) = 3*r**2 - 18187. Determine x(y(g)). 21168*g**4 - 18187 Let p(r) = 11834*r. Let h(g) = -17*g + 65. Calculate h(p(m)). -201178*m + 65 Let l(m) be the first derivative of -21*m**2 + 52. Let i(p) = p. Let f(t) = 35*i(t) + l(t). Let s(v) = 6*v - 3*v - 2*v. What is f(s(c))? -7*c Let h(w) = -2*w - 2419. Let k(t) = 317*t - 1. Give k(h(n)). -634*n - 766824 Let c(b) be the third derivative of b**7/2520 + 61*b**4/24 - b**2 - 4. Let f(m) be the second derivative of c(m). Let q(n) = -84*n**2. Determine f(q(k)). 7056*k**4 Let p(b) = 3*b. Let q(f) = -252*f - 147. Let s(h) = -67*h - 36. Let r(o) = 4*q(o) - 15*s(o). What is r(p(k))? -9*k - 48 Let z(b) = 2*b**2. Let p(o) = -33277044*o**2. What is z(p(n))? 2214723314755872*n**4 Let d(u) be the second derivative of u**4/2 - u**3/2 - u**2 - 10*u. Let i be d(-1). Let g(s) = 9 - i - 2 + 2*s**2. Let y(t) = -5*t. Give g(y(k)). 50*k**2 Let w(j) = j - 95 + 95 + 3*j. Let p(h) = -19*h. Let r(n) = 4*p(n) + 20*w(n). Let l(z) be the second derivative of -z**4 - z. Determine r(l(i)). -48*i**2 Let h(v) = -351818*v**2. Let g(x) = -21*x. Determine g(h(a)). 7388178*a**2 Let v(f) = 29*f + 17*f + f**2 + 40*f - 86*f. Let j(t) = 6*t**2 + 14. Let a(o) = 17*o**2 + 43. Let m(p) = -3*a(p) + 8*j(p). Determine m(v(n)). -3*n**4 - 17 Let w(g) = -33*g. Let j(d) = 531*d - 72. Let c(s) = -37*s + 5. Let t(v) = -72*c(v) - 5*j(v). Give w(t(u)). -297*u Let t(w) = -9*w - 678. Let d(l) = -176*l**2. What is t(d(h))? 1584*h**2 - 678 Let v be 1*43/6 - -13*78/(-169). Let k(a) be the second derivative of 0 + 12*a - v*a**3 + 0*a**2. Let j(u) = -2*u. Give j(k(r)). 14*r Let j(m) = 2*m. Let f(d) = 1116*d + 324 - 324 + 145*d. Determine j(f(c)). 2522*c Let r(t) = 4 - 16900*t + 16899*t - 4. Let v(n) = -22*n - 18. Give r(v(h)). 22*h + 18 Let q(o) = 2*o**2. Let y(t) = 5 + t**3 + t**2 - 9*t**2 + 1 - 2*t**2 + 9*t. Let l be y(9). Let s(a) = -2*a + l*a + 3*a + 2*a. Calculate s(q(f)). 18*f**2 Let y(i) = -3*i**2. Let j(v) = -3337748*v. What is y(j(t))? -33421685134512*t**2 Let x(z) = z. Let t(v) = 6*v + 14. Let w be t(-2). Let h(s) = -84*s**w - 296 + 154 + 142. Give x(h(j)). -84*j**2 Let w(f) = -71*f + 0 + 0 + 55*f + 18*f. Let j(c) = -1173*c + 2. Give j(w(y)). -2346*y + 2 Let v(t) = -2*t + 2*t - 16*t + 2*t - 4*t. Let w(c) = -26*c**2 - c. Calculate v(w(n)). 468*n**2 + 18*n Let r(c) = -1 - 6*c + 1. Let a(d) be the third derivative of d**4/12 + 23*d**2 + 25. Determine r(a(s)). -12*s Let s(r) = -r - 57 - 2*r + 108 - 51. Let y(h) = -16*h**2 - 8*h. What is y(s(k))? -144*k**2 + 24*k Let v(w) be the second derivative of -3*w**3/2 + w. Let i(z) be the third derivative of 1/12*z**4 + 0 + 0*z**3 - 2*z - 20*z**2. Give v(i(h)). -18*h Let w be 2/(-4) - (152/(-16) + 7). Let v(s) = -84*s**2 - 85*s**2 + 34*s**w - 13*s**2. Let a(i) = 2*i. Determine v(a(h)). -592*h**2 Let u(b) be the first derivative of b**5/120 + b**3/3 - 19*b**2/2 - 91. Let l(c) be the third derivative of u(c). Let s(o) = 316*o. Determine l(s(a)). 316*a Let p(f) = -3*f. Let y(j) be the first derivative of 20/3*j**3 + 63 + 0*j - 1/2*j**2. Give p(y(v)). -60*v**2 + 3*v Let g(w) = 113*w**2 + 120*w**2 - 126*w**2 - 1. Let s(l) = -4*l**2. Give g(s(p)). 1712*p**4 - 1 Let y(j) = 30*j. Let p(b) = -110*b + 61*b + 47*b - 188. Give p(y(w)). -60*w - 188 Let g(c) = 42*c. Let u(h) = 44*h + 1059439 - 1059439. What is g(u(z))? 1848*z Suppose -3*w - 25 = 2*w. Let o be 0/((-18 - -3)/w). Let r(h) = o*h**2 + 5*h**2 + h**2 - 4*h**2. Let x(p) = 9*p. Determine r(x(z)). 162*z**2 Let q(c) = 141*c**2 - 3*c - 3. Let j be q(-1). Let n be j - (0 - 0/(-2)). Let p(o) = 141 - n - o**2. Let b(y) = 3*y. Calculate b(p(g)). -3*g**2 Let g(u) = 2*u**2. Let i(a) = 216292537*a**2. Determine i(g(k)). 865170148*k**4 Let y(x) = 113*x. Let l(p) = 2*p - 71. Determine y(l(t)). 226*t - 8023 Let b(u) be the third derivative of 19*u**5/60 - u**3/3 - 111*u**2 - 16*u + 1. Let r(h) = 10*h - 6*h + h. Calculate b(r(m)). 475*m**2 - 2 Let o(b) be the first derivative of -b**6/360 + 29*b**3 - b**2 - 135. Let n(c) be the third derivative of o(c). Let z(j) = 144*j**2. Calculate n(z(w)). -20736*w**4 Let y(k) = 3*k - 3*k + 2*k. Let p(a) = 315*a. Let c(d) = -135419*d. Let w(s) = 4*c(s) + 1719*p(s). What is w(y(o))? -382*o Let o(h) = -4*h**2. Suppose -2*z + 27 = -3*r, r + 16 = z + 4. Let d(j) = -180*j + 1644. Let i be d(9). Let f(c) = 7*c - 4*c + z*c - i*c. Give f(o(u)). 48*u**2 Let z(h) = -87294291*h**2. Let v(t) = t**2. Calculate z(v(j)). -87294291*j**4 Let g(l) = -2*l - 49. Let p(t) = -t - 8. Let x(z) = g(z) - 6*p(z). Let y(f) = 3*f**2. Determine x(y(j)). 12*j**2 - 1 Let a(r) = 4 - 10 + 18 + 3*r - 5 - 1. Let g(b) = 8*b**2. Determine g(a(p)). 72*p**2 + 288*p + 288 Let d(l) be the second derivative of -l**5/60 + 31*l**3/3 - 31*l. Let z(u) be the second derivative of d(u). Let s(t) = -24*t. Give z(s(f)). 48*f Let p(r) = -r**2 - 2*r**2 + 2*r**2 - 3*r**2. Let h(g) = -23*g**2 + 6. Let k(a) = -30*a**2 + 7. Let x(n) = -6*h(n) + 5*k(n). Determine p(x(y)). -576*y**4 - 96*y**2 - 4 Let i(s) = -150*s**2. Let l(w) = 1 - 2146161*w**2 + 2146165*w**2 - 14. Calculate l(i(g)). 90000*g**4 - 13 Let r(m) = -3*m**2. Let v(z) = 107671360*z. Determine r(v(x)). -34779365292748800*x**2 Let x be ((-42)/(-8))/(-4 + (-70)/(-16)). Suppose 22 = 3*y - x. Let i(p) = -2*p + 21*p - y*p. Let b(j) = -2*j**2. What is i(b(l))? -14*l**2 Let j(x) = -62*x - 16*x + 8*x + 103*x. Let a(o) be the third derivative of o**5/30 + o**2. Calculate a(j(m)). 2178*m**2 Let h(m) = 55*m - 11. Let k(p) = 14*p - 3. Suppose 4*q - 7*q - 3 = 0. Let j = q + 4. Let x(g) = j*h(g) - 11*k(g). Let l(f) = f. Give l(x(t)). 11*t Let w(b) = -2493*b. Let r(m) be the third derivative of -m**4/24 + 2*m**2 + 377. What is r(w(c))? 2493*c Let q(z) = 14*z. Let b(c) = 1025837*c. What is q(b(i))? 14361718*i Let j(t) be the first derivative of 5*t**2/2 - 29664. Let p(l) = l**2 - 1. Let n(i) = -10*i**2 + 8. Let q(d) = -n(d) - 8*p(d). Determine q(j(h)). 50*h**2 Suppose -5*w + 3*d - 7 + 29 = 0, 4*w - 3*d - 20 = 0. Let y(h) = 3103*h**2 - 1591*h**2 - 1595*h**w. Let z(q) = -2*q. Give z(y(g)). 166*g**2 Let p(u) be the first derivative of 22 + 0*u**2 + 1/3*u**3 + 15*u. Let s(z) be the first derivative of p(z). Let v(h) = 19*h**2 + h. Give s(v(j)). 38*j**2 + 2*j Let l(a) = -114*a. Let w(z) = -48*z**2 - 4*z - 3. Let c(p) = -49*p**2 - 5*p - 4. Let k(t) = 4*c(t) - 5*w(t). Give l(k(d)). -5016*d**2 + 114 Let q(y) be the second derivative of -y - 25*y**2 + 1/3*y**3 + 36. Let i(j) = 2*j**2. Calculate q(i(l)). 4*l**2 - 50 Let u(v) = -33*v. Let d(z) = -100477*z**2 + 200950*z**2 - 100478*z**2. Give d(u(n)). -5445*n**2 Let y(a) = -2*a. Let h(v) = 8*v + 6. Let w(g) = 65*g + 50. Let b(n) = 50*h(n) - 6*w(n). Let d(k) = -b(k) - 4*y(k). Let l(j) = -2*j - 2*j - 4*j. What is d(l(s))? 16*s Let j(z) = 660*z**2. Let g(l) = 16*l**2 - 42*l**2 + 14*l**2 + 11*l**2. Calculate g(j(d)). -435600*d**4 Let y(c) = -11 - 17 + 27. Let q(u) = 2*u + 2. Let a(r) = -q(r) - 2*y(r). Let j(f) be the first derivative of 11*f**3/3 + 24. Calculate j(a(p)). 44*p**2 Let n(g) = 2*g. Let v(h) = 36*h + 962273. What is v(n(j))? 72*j + 962273 Let j(s) = 3154158*s**2. Let t(x) = 2*x**2. What is j(t(m))? 12616632*m**4 Let o(h) be the second derivative of -h**4/12 + 4*h - 526. Let p(t) = -20*t**2 + 9. What is p(o(u))? -20*u**4 + 9 Let g(p) = 10*p**2 + 1. Let m(d) be the second derivative of 5*d**3/6 + 2*d**2 - 1699*d. What is g(m(c))? 250*c**2 + 400*c + 161 Let c(w) be the first derivative of -527*w**2/2 - 2248. Let d(b) = 3*b**2. Give d(c(p)). 833187*p**2 Let z(s) be the first derivative of -940*s**2 - 2238. Let q(o) = 2*o**2. Calculate z(q(x)). -3760*x**2 Let m(a) be the first derivative of 5*a**2/2 - 263. Let w(v) = -12*v. Calculate m(w(l)). -60*l Let i(n) = 2*n. Let m(o) = -3*o + 4184316. Give i(m(k)). -6*k + 8368632 Let t(b) = 9*b. Let a(o) = 2*o**2 - o - 15. Let c be a(-5). Let j(n) = -n**2 - 18*n - 41. Let g be j(-9). Let z(x) = g*x - 81*x + c*x. Give t(z(i)). -9*i Let w(r) = 150*r + 4. Let c(y) = -224*y - 3. Let s(p) = -2*c(p) - 3*w(p). Let z(a) = -6*a**2. Calculate s(z(v)). 12*v**2 - 6 Let h(p) = 1958520
{ "pile_set_name": "DM Mathematics" }
7. Let g(r) be the first derivative of u(r). What is the third derivative of g(o) wrt o? 84 What is the second derivative of -1341*a**5 - 67*a + 682*a**5 + 564*a**5 wrt a? -1900*a**3 Let m = -25 + 110. Find the second derivative of -m*y + 45*y + 4*y**3 + 52*y wrt y. 24*y Let y be (-2)/(-4)*(3 - 3). Let o = 2 - y. Find the third derivative of 6*v**3 + 3*v**3 + 2*v**o - 5*v**3 wrt v. 24 Suppose -25 = -2*l + 5*v, 0 = -4*l - 0*l + 4*v + 32. Find the second derivative of 14*d + 9*d**5 - d**l + 6*d wrt d. 160*d**3 Let p(h) be the first derivative of -7*h**4/4 - h**2/2 - 12*h - 195. Differentiate p(m) with respect to m. -21*m**2 - 1 Find the second derivative of -38*l**2 + 317*l**2 - 263*l + 6 - 13*l**2 - 6 wrt l. 532 Let y(j) be the first derivative of 11 + 24*j + 1/2*j**2. What is the first derivative of y(u) wrt u? 1 Let f(a) be the second derivative of -151*a**6/10 - a**3/6 - 172*a**2 + 100*a - 1. What is the second derivative of f(i) wrt i? -5436*i**2 Let j(k) be the third derivative of 2*k**5/15 + 59*k**3/6 - k**2 - 18*k. What is the derivative of j(v) wrt v? 16*v Let m(v) = -v**2 + 1. Let w = -18 + 28. Let d(s) = 6 - w - s**3 - s**2 + 10*s**2. Let g(x) = -d(x) - 4*m(x). Find the third derivative of g(r) wrt r. 6 Let k be (9/(-2))/(-3)*6/9. What is the derivative of 3*a**3 - 5 - k - 12*a**3 - 15*a**3 wrt a? -72*a**2 Suppose -71 = o - 71. Let p(m) be the first derivative of 0*m + 0*m**4 + 5/6*m**6 + 0*m**5 + o*m**2 - 7/3*m**3 + 3. Find the third derivative of p(c) wrt c. 300*c**2 Let d(s) = 42*s**3 - 8*s**2 - 4*s + 68. Let j(l) = l**3 + 2*l**2 + l - 1. Let a(f) = -d(f) - 4*j(f). Differentiate a(o) with respect to o. -138*o**2 Let i(c) = 34*c + 2. Let k(z) = 13*z + 9 + 102*z + 20*z. Let l(u) = 15*i(u) - 4*k(u). What is the first derivative of l(q) wrt q? -30 Let a be 4/((11 - 1)/5). What is the second derivative of -19*r - 8*r**5 - 10*r**a + 10*r**2 - 8*r**5 wrt r? -320*r**3 Let z(t) be the third derivative of -t**6/30 + 5*t**5/12 - 25*t**3/6 - 6*t**2. Find the first derivative of z(m) wrt m. -12*m**2 + 50*m Suppose 0 = g - n - 6, g - n = n + 8. Find the second derivative of 472*t**g - 503*t**4 + 11*t + 5*t wrt t. -372*t**2 Let d(h) be the first derivative of 7*h**2 + h**3 + 2*h**3 + 0*h**3 - 9 + 0*h**3. Find the second derivative of d(p) wrt p. 18 Let u(d) be the third derivative of 91*d**5/12 + 159*d**3 + 2*d**2 - 159*d. What is the first derivative of u(v) wrt v? 910*v Let h(z) = z + 47 - 22*z - 38. Let n(f) = 31*f - 14. Let y(t) = 8*h(t) + 5*n(t). What is the derivative of y(b) wrt b? -13 Let x(b) be the first derivative of b**6/5 - 16*b**3/3 - b + 12. Let n(m) be the first derivative of x(m). What is the second derivative of n(y) wrt y? 72*y**2 Let i(f) = 199*f**4 + 6*f**3 - 141*f. Let q(m) = 399*m**4 + 13*m**3 - 281*m. Let z(l) = -13*i(l) + 6*q(l). What is the second derivative of z(g) wrt g? -2316*g**2 Let y be (-56)/(-12) + 2/(-3). Let l = 1 + y. What is the third derivative of 2*t**3 + 3*t**3 - 2*t**2 - l*t**2 wrt t? 30 Let v(i) be the third derivative of 0*i**5 + 0*i**7 + 0*i**3 + 0 - 13/168*i**8 + 0*i**6 + 3/4*i**4 + 0*i + 25*i**2. Find the second derivative of v(o) wrt o. -520*o**3 Suppose 14*t - m = 9*t, 0 = 5*t + 2*m. Let v(x) be the second derivative of 5/12*x**4 + 4*x - 1/3*x**3 + t*x**2 + 0. Find the second derivative of v(k) wrt k. 10 Let m(j) be the first derivative of 7*j**4/4 + 8*j**2 + 26*j + 24. Let v(b) be the first derivative of m(b). Differentiate v(q) with respect to q. 42*q Let s(i) = 531*i**4 + 5*i**3 + 5*i**2 + 550. Let d(v) = -797*v**4 - 7*v**3 - 7*v**2 - 825. Let q(p) = 5*d(p) + 7*s(p). Differentiate q(g) with respect to g. -1072*g**3 Let y(b) = -b**4 - 2*b**3 - 2*b**2 + b + 1. Let a(t) = 7*t**4 - 8*t**3 + 9*t**2 - 348*t - 4. Let r(o) = a(o) + 4*y(o). Find the third derivative of r(n) wrt n. 72*n - 96 Let h = -6 + 6. Find the second derivative of -n**5 + h*n**5 + 28*n - 14*n wrt n. -20*n**3 Let m(z) be the second derivative of z**9/168 + z**6/18 - 13*z**3/6 + 16*z. Let t(r) be the second derivative of m(r). Find the third derivative of t(i) wrt i. 1080*i**2 Let c be 5/10 + 23/2. What is the second derivative of -21*g + 1461 + c*g**3 - 1461 wrt g? 72*g Let k(b) be the first derivative of b**8/28 + 5*b**4/6 + 15*b + 6. Let a(s) be the first derivative of k(s). Find the third derivative of a(v) wrt v. 240*v**3 Let d(i) = 20*i**3 + i - 2. Let a be d(1). What is the second derivative of f**4 - a*f**4 + 2*f**4 + 9*f + 2*f wrt f? -192*f**2 Let q(k) be the third derivative of k**7/180 + k**6/240 - 4*k**5/15 - 29*k**2. Let c(f) be the third derivative of q(f). Differentiate c(j) with respect to j. 28 Let i(u) = u + 16. Let b be i(-5). What is the third derivative of -9*f**3 - 4*f - b*f**3 - 27*f**2 + 4*f wrt f? -120 Let d(n) be the third derivative of -179*n**9/504 + 59*n**5/12 + 2*n**2 + 10. Find the third derivative of d(f) wrt f. -21480*f**3 Suppose 0 = x + x - 6. Differentiate 209 + 10*j**x - 7*j**3 + 16*j**3 - 208 wrt j. 57*j**2 Suppose 12 = -f + 4*f. Let c be (2 + 1)/((-177)/(-118)). Differentiate -6 + m**2 - 2*m**c - 3*m**2 - f*m**2 with respect to m. -16*m Let s(q) be the second derivative of -3*q**5/5 - q**3/2 - 58*q**2 - 118*q. What is the first derivative of s(c) wrt c? -36*c**2 - 3 Suppose 0 = -34*g + 30*g + 20. Find the third derivative of -4*s**4 + 6 - 5*s**2 - 1 - g wrt s. -96*s Suppose 13*w = 8*w. Suppose 4*r - 36 = -w*r. What is the derivative of 0 - r - 11*v**2 + 1 wrt v? -22*v Let f(x) = x**2 - 15*x - 30. Let n be f(17). Let a = -1 - -3. Find the second derivative of -3*s - s + 0*s + n*s**3 - a*s wrt s. 24*s Suppose 0 = 4*j - j - 9. Suppose 6*u - u + 2*i = 11, i - 1 = -u. Find the second derivative of 2*n**j - u*n**3 - n - n wrt n. -6*n Suppose -18 = q + 2*u, 0 = 5*q + 6*u - u + 75. Let d be (-12)/(-2)*(-6)/q. Find the third derivative of 3*c**2 + c**2 + 2*c**6 - 7*c**6 - d*c**6 wrt c. -960*c**3 Let m(k) be the third derivative of -k**9/84 - 2*k**5/5 - k**3/3 + 32*k**2. What is the third derivative of m(u) wrt u? -720*u**3 Let f = 4 - 0. Suppose 129 = 20*t + 23*t. Let r(n) = -n**3 - 9*n**2. Let w(b) = 8*b**2. Let l(i) = f*w(i) + t*r(i). Find the third derivative of l(h) wrt h. -18 Find the first derivative of 4*z - 2*z + 170 - 5*z**4 - 3*z - 7*z - 4*z wrt z. -20*z**3 - 12 Let h = -8 - -11. Let k(z) = -2*z**4 - 2*z**3 + z + 21. Let r(t) = t**4 + 3*t**3 - 20. Let n(f) = h*k(f) + 2*r(f). Differentiate n(j) wrt j. -16*j**3 + 3 Let z(l) = l**2 + l - 1. Let s(p) be the first derivative of 12*p**3 - p**2/2 - 5*p + 35. Let m(x) = -s(x) + 5*z(x). Find the second derivative of m(d) wrt d. -62 Let d be -1 + (3 + -3 - 1). Let n = 2 - d. Find the first derivative of -2 - 6*x**4 + 3*x**4 - 2*x**n - 4 wrt x. -20*x**3 Let l(a) = 3*a - 6. Let g be l(5). Let s be g + -2 + 2 + 3. Find the first derivative of -10 - 4*q - 5 + s wrt q. -4 Let c = 2363/10 + -236. Let f(b) be the second derivative of c*b**5 - b + 0 + 1/6*b**4 + 0*b**3 + 0*b**2. Find the third derivative of f(x) wrt x. 36 What is the third derivative of -151*r**5 + r**2 + 3*r - 89*r - 3*r**2 - 57*r wrt r? -9060*r**2 Suppose -106 = r - 109. What is the third derivative of -548*u + 7*u**4 + 548*u - r*u**2 wrt u? 168*u Suppose -d = -k - 7, -11 = 5*k - 1. What is the second derivative of g**3 - d*g - g**3 - g**5 + 4*g**5 wrt g? 60*g**3 Find the second derivative of -39*v**2 + 26*v**5 - 126*v - 39*v**5 + 10*v**5 wrt v. -60*v**3 - 78 Let k(o) be the second derivative of o**3 + 31*o**2 + 135*o. Differentiate k(y) wrt y. 6 Let i(a) be the second derivative of -875*a**3/6 + 193*a**2/2 + 429*a. Differentiate i(c) with respect to c. -875 Let o(d) be the first derivative of d**5/4 - 3*d**3 - 5*d**2/2 + 16. Let w(r) be the second derivative of o(r). What is the derivative of w(b) wrt b? 30*b Let h(p) = -427*p**2 + 5*p - 337. Let w(i) = 854*i**2 - 9*i + 674. Let k(u) = 7*h(u) + 4*w(u). Find the second derivative of k(v) wrt v. 854 Let p(h) be the second derivative of 5*h**8/56 - h**5/2 + 143*h**4/12 - 22*h + 3. What is the third derivative of p(o) wrt o? 600*o**3 - 60 Let f(r) be the third derivative of -17*r**9/504 + 2*r**5/15 - 3*r**4/8 - 4*r**2 + 24. What is the third derivative of f(w) wrt w? -2040*w**3 Let j(l) be the second derivative of 3*l**5/20 - 7*l**4/12 - 37*l
{ "pile_set_name": "DM Mathematics" }
168 What is -44480 rounded to the nearest 1000? -44000 Round -0.008371 to three dps. -0.008 Round 0.000016681 to 6 decimal places. 0.000017 Round -0.002658 to 3 dps. -0.003 What is 2891 rounded to the nearest one hundred? 2900 Round 0.014737 to three dps. 0.015 Round -0.002214 to 3 decimal places. -0.002 What is -1090.6 rounded to the nearest 10? -1090 What is 0.07977 rounded to two decimal places? 0.08 Round 0.00073976 to 5 decimal places. 0.00074 What is 47330 rounded to the nearest 1000? 47000 Round -74 to the nearest ten. -70 Round -358220000 to the nearest 1000000. -358000000 What is 11.05 rounded to the nearest integer? 11 What is 2327000 rounded to the nearest 100000? 2300000 Round 76540 to the nearest 1000. 77000 Round -0.000038369 to six decimal places. -0.000038 Round 612000 to the nearest 100000. 600000 Round 3748.78 to the nearest 10. 3750 What is -884 rounded to the nearest one hundred? -900 Round -372800 to the nearest 100000. -400000 Round -1329.19 to the nearest 100. -1300 What is 0.4535 rounded to two decimal places? 0.45 What is 0.00000481 rounded to six decimal places? 0.000005 What is 93500 rounded to the nearest ten thousand? 90000 Round -0.03824 to three decimal places. -0.038 What is -0.000002227 rounded to seven decimal places? -0.0000022 What is 14988000 rounded to the nearest one million? 15000000 Round -9485.6 to the nearest 10. -9490 Round -1437200 to the nearest one million. -1000000 Round -3328 to the nearest one hundred. -3300 What is 6.31206 rounded to 1 decimal place? 6.3 Round 484.38 to the nearest one hundred. 500 What is -0.040011 rounded to 3 dps? -0.04 Round 21.34 to the nearest integer. 21 Round 0.00143 to four decimal places. 0.0014 What is -285.5 rounded to the nearest 10? -290 Round -211.56 to the nearest one hundred. -200 Round -183.25 to the nearest 10. -180 Round 387.516 to the nearest integer. 388 Round -0.01784 to three decimal places. -0.018 Round 56.08 to the nearest 10. 60 Round 0.00048898 to 4 dps. 0.0005 Round -0.0000006448 to 7 dps. -0.0000006 What is -2170240 rounded to the nearest 100000? -2200000 What is -34.067 rounded to one decimal place? -34.1 What is 2183 rounded to the nearest 1000? 2000 Round 2.5183 to 2 dps. 2.52 What is 96200 rounded to the nearest 100? 96200 Round 357.847 to the nearest ten. 360 What is -558.4 rounded to the nearest ten? -560 What is 284000 rounded to the nearest one hundred thousand? 300000 Round 0.00777 to 3 decimal places. 0.008 What is 0.121349 rounded to 2 dps? 0.12 Round 0.000021385 to 7 dps. 0.0000214 Round -8.6144 to 2 decimal places. -8.61 Round -0.0013016 to four dps. -0.0013 Round 5.5159 to the nearest integer. 6 What is -0.001199 rounded to four dps? -0.0012 What is 0.64517 rounded to one decimal place? 0.6 What is -19.939 rounded to the nearest integer? -20 What is 8650 rounded to the nearest 1000? 9000 Round -351789000 to the nearest one million. -352000000 What is 0.2166 rounded to two decimal places? 0.22 What is 36967000 rounded to the nearest 1000000? 37000000 What is 3570160 rounded to the nearest ten thousand? 3570000 Round 0.0020347 to 4 dps. 0.002 What is 30.417 rounded to the nearest integer? 30 Round -0.022609 to one decimal place. 0 What is 0.00005432 rounded to 6 dps? 0.000054 What is 260000 rounded to the nearest 10000? 260000 Round -15170 to the nearest one thousand. -15000 Round 352.5 to the nearest 10. 350 Round -16815 to the nearest one thousand. -17000 What is 0.4841 rounded to 2 decimal places? 0.48 What is -136450 rounded to the nearest 10000? -140000 Round 0.006394 to 4 decimal places. 0.0064 Round 441 to the nearest integer. 441 Round 643620000 to the nearest one million. 644000000 Round -0.00301 to 3 dps. -0.003 What is 0.3501 rounded to two dps? 0.35 What is 0.539 rounded to one decimal place? 0.5 What is -0.005868 rounded to 4 dps? -0.0059 What is -9.76 rounded to 0 dps? -10 Round 2497000 to the nearest one hundred thousand. 2500000 What is -2.7798 rounded to 1 dp? -2.8 What is 0.00000065005 rounded to seven decimal places? 0.0000007 Round 468.53 to the nearest 100. 500 Round -36.636 to one decimal place. -36.6 What is -37.687 rounded to 1 decimal place? -37.7 Round 374.9 to the nearest 100. 400 Round -0.05654 to three decimal places. -0.057 What is 0.00006984 rounded to 6 dps? 0.00007 Round -0.003558 to 4 dps. -0.0036 What is 0.000084448 rounded to five dps? 0.00008 What is 9192 rounded to the nearest 10? 9190 What is 0.00009483 rounded to 5 dps? 0.00009 Round 715.23 to the nearest one hundred. 700 What is -0.0000234 rounded to five decimal places? -0.00002 What is -0.00878 rounded to three dps? -0.009 Round 0.00042356 to four decimal places. 0.0004 What is 18040 rounded to the nearest one thousand? 18000 Round -2677700 to the nearest one hundred thousand. -2700000 What is -1920300 rounded to the nearest one hundred thousand? -1900000 Round -28990000 to the nearest 1000000. -29000000 Round 1.0213 to two dps. 1.02 Round 0.0006 to 4 dps. 0.0006 What is -0.06713 rounded to 2 dps? -0.07 Round 0.0006756 to four decimal places. 0.0007 Round -18.559 to one dp. -18.6 What is 44400 rounded to the nearest 10000? 40000 What is 0.00000034561 rounded to 7 dps? 0.0000003 What is 90 rounded to the nearest 1000? 0 What is 1330.2 rounded to the nearest one hundred? 1300 Round 0.0001288 to four dps. 0.0001 What is -0.00489 rounded to three dps? -0.005 Round -8.104 to the nearest integer. -8 What is 25.984 rounded to zero decimal places? 26 What is 289492 rounded to the nearest 1000? 289000 Round 85.5 to zero decimal places. 86 Round 0.02443 to two dps. 0.02 Round 7.095 to 1 decimal place. 7.1 Round 0.00016145 to 5 decimal places. 0.00016 What is -28010000 rounded to the nearest one million? -28000000 What is -9458 rounded to the nearest 100? -9500 What is -14010 rounded to the nearest one thousand? -14000 Round -115554 to the nearest ten thousand. -120000 What is 77770 rounded to the nearest 10000? 80000 Round -0.694 to one decimal place. -0.7 Round 0.0004661 to 4 dps. 0.0005 Round -0.000004005 to seven dps. -0.000004 What is -3090 rounded to the nearest one thousand? -3000 What is -0.32637 rounded to three decimal places? -0.326 What is -0.027616 rounded to 2 decimal places? -0.03 Round 47.44 to the nearest ten. 50 What is 1057.5 rounded to the nearest one hundred? 1100 What is -1906690 rounded to the nearest ten thousand? -1910000 Round 0.00162192 to five dps. 0.00162 Round 0.03027 to two decimal places. 0.03 What is 0.119697 rounded to 2 decimal places? 0.12 What is -0.00000197756 rounded to seven dps? -0.000002 What is -46590000 rounded to the nearest one million? -47000000 What is 0.000026981 rounded to 7 decimal places? 0.000027 What is -0.000059 rounded to four dps? -0.0001 What is 0.000003658 rounded to seven dps? 0.0000037 Round -0.00069734 to four decimal places. -0.0007 What is 0.000001199 rounded to six dps? 0.000001 Round -1390900 to the nearest one hundred thousand. -1400000 What is -0.0005888 rounded to 4 dps? -0.0006 Round 9991 to the nearest 100. 10000 Round -8538 to the nearest 100. -8500 What is -25444 rounded to the nearest 100? -25400 What is 0.01997 rounded to 3 dps? 0.02 Round -0.16604 to two decimal places. -0.17 Round -3488.6 to the nearest 10. -3490 What is 0.00000342 rounded to 7 decimal places? 0.0000034 What is -1.27 rounded to two decimal places? -1.27 Round -574570 to the nearest 100000. -600000 Round 0.017337 to 3 decimal places. 0.017 Round 33.424 to the nearest integer. 33 What is 0.00000303 rounded to six decimal places? 0.000003 Round 0.00508 to three decimal places. 0.005 Round -0.0000009457 to seven dps. -0.0000009 What is 121200 rounded to the nearest ten thousand? 120000 Round -0.001429 to 4 dps. -0.0014 What is 0.0005372 rounded to 5 dps? 0.00054 Round 0.8179 to one decimal place. 0.8 What is -0.00001866 rounded to 6 decimal places? -0.000019 What is 0.002199 rounded to 5 dps? 0.0022 Round 294300 to the nearest one thousand. 294000 Round 214.3 to the nearest ten. 210 Round -3636900 to the nearest 100000. -3600000 Round 0.0064887 to four dps. 0.0065 Round 0.00001755 to 6 dps. 0.000018 What is -124.3 rounded to the nearest 100? -100 What is 0.00004524 rounded to six dps? 0.000045 Round -0.0032758
{ "pile_set_name": "DM Mathematics" }
10*n - 248 - 14*n + 8*n + 70 - 4*n as l + i*n and give l. -178 Express (814 + 270 + 778)*(-8 + 8 + 3*n) in the form a + g*n and give g. 5586 Rearrange (-5 - 1 + 4)*(16 - 10 + 43)*(-45 + 101 - 4*b - 53) to u + p*b and give p. 392 Rearrange 12*x + 10 - 15 - 14*x + 173 to l*x + u and give l. -2 Rearrange 113*z**3 - 14 + z - 10*z**2 + 11*z**2 - 112*z**3 + 17 - 1276*z**4 to g*z + n*z**2 + i + b*z**4 + t*z**3 and give n. 1 Express -v**2 - v + v + (-14 + 8 + 12)*(41*v**2 - 91*v**2 - 41*v**2) in the form o*v**2 + w*v + j and give j. 0 Express (5 - 1 - 3)*(-8 + 11 + 0 + 26681*g - 3) as a + z*g and give z. 26681 Express -7 - 621*k - 13*k**2 + 260*k + 362*k in the form h + x*k**2 + f*k and give f. 1 Express (9 - 5 - 9)*(9*c - 40*c - 4*c)*(-11 - 7 + 10) in the form d*c + w and give d. -1400 Express 39*v - 12*v - 17*v - 9*v - 10 + 11*v**2 - 1 in the form c*v**2 + d*v + h and give d. 1 Express 0*l + 4*l - 3*l + (0 + 3 - 1)*(-2*l + 0 + 0) + 826 + 1067*l - 826 - 5*l - l + 4*l as m*l + b and give m. 1062 Express 30*s + 5*s**4 + 5*s**2 + 99*s + 3*s**2 - 7*s**2 - s**4 as m*s**3 + v + d*s**4 + f*s + r*s**2 and give f. 129 Express (-2*t + 208 - 325 - 123)*(4*t + 0*t - 4 - 3*t) as j*t**2 + b + a*t and give b. 960 Express 4*u**2 - 3*u**2 + 438*u - 694 - 3*u**2 + u**3 + 694 as b*u**2 + q + d*u**3 + x*u and give x. 438 Rearrange 18*x + 4*x + 2*x - 31*x + 3*x**2 + 10*x + 10 - 2*x**3 to the form q*x**3 + p*x**2 + r*x + m and give m. 10 Express (2*a**3 - 3 + 3)*(-6*a - 20183 - 20191 + 40459) as l*a**3 + m*a**4 + c + j*a + n*a**2 and give l. 170 Express 22*f + 51*f**2 + 77*f**2 + 6*f - 6*f - 25*f**2 in the form v + i*f + l*f**2 and give l. 103 Express 793*k**2 + 8*k**3 - 389*k**2 + 3*k - 411*k**2 + 2 as m + g*k**3 + w*k + j*k**2 and give j. -7 Express 7*y**2 - 5 + 5 + (0*y + 0*y - 2*y)*(-y + 2*y + y) + y**2 + 3*y**2 - 5*y**2 + (6 - 6 - 5*y)*(-11*y + 4*y - 6*y) in the form v*y**2 + g*y + l and give l. 0 Rearrange (-j - j + j)*(75 - 1201758*j - 1201783*j + 2403691*j) to v + i*j + a*j**2 and give i. -75 Rearrange -2*w**3 - 3*w + 3*w + (-30*w**2 + 443*w - 443*w)*(-1 + 1 + 5*w) to j*w**2 + t + o*w + g*w**3 and give g. -152 Express -2430*m**2 - 7005*m**2 - 9*m**3 - 4827*m**2 + 10*m**3 in the form y + t*m**2 + o*m + i*m**3 and give i. 1 Rearrange 11*j + 38787*j**3 - 9 - 38788*j**3 - 149 - 139 to the form z*j**2 + f*j + t + c*j**3 and give c. -1 Express (-32*h - 28*h + 3*h)*(5 - 9 - 17)*(28 - 1 - 12) in the form q + o*h and give o. 17955 Express 19*p**2 - 102*p + 1248*p - 12*p**2 - 8*p**2 + 535*p in the form k*p + g + d*p**2 and give k. 1681 Rearrange (-30*o**2 + 7*o + 17*o - 22*o)*(3 - 20 - 21)*(0*o - 4 + 4*o - 5*o) to r*o + v*o**3 + l + c*o**2 and give c. -4484 Rearrange -30*i**2 - 17*i**3 + 22*i**3 + 6*i - 8*i + 0 + 2 - 9*i**2 - 4*i**4 to p*i**4 + f*i**2 + n*i**3 + s*i + k and give s. -2 Rearrange -2*o - 1645 + 1625 - 2949 + 4*o to the form z + d*o and give d. 2 Rearrange (3*m**4 + 5*m**4 + 0*m**4)*(-82 + 106 + 653) to the form s*m**3 + c*m + h + o*m**4 + y*m**2 and give o. 5416 Rearrange (54*p - 15*p + 0*p)*(-2 + 6 + 26)*(-1 + 3 - 3) to y*p + q and give y. -1170 Rearrange -2194270 + 1671*f + 2194270 to the form h + m*f and give m. 1671 Express (1 + 3*w - 1)*((2*w - 6*w + 5*w)*(6 + 2 - 4) - 2 + 2 - 2*w)*(-4 + 5 + 1) + 72*w**2 + 13*w**2 - 156*w**2 in the form l*w**2 + n + v*w and give l. -59 Rearrange -16*n + 259*n**2 + 240*n**2 - 5*n - 506*n**2 to the form z + h*n**2 + m*n and give h. -7 Rearrange (579*c - 442*c - 139*c + 2*c**2 - 1714)*(2*c - 1 + 1)*(c + 2*c - c) to the form k*c**2 + d*c**3 + m*c + g + t*c**4 and give t. 8 Express -17*l**2 + 17*l**2 - 28 + 3 + 41*l - 3*l**3 + 31*l in the form s*l + c + y*l**2 + x*l**3 and give c. -25 Rearrange -21 + 60 - 199*o + 206*o + 67 to u + y*o and give y. 7 Express (5*v - 5*v + 2*v)*(51*v + 644 - 644) + 0*v**2 - 2*v**2 - v**2 - 10 - 10*v**2 + 10 as t*v**2 + d*v + q and give t. 89 Rearrange -2*n**3 + n + 29 + 12*n**2 - 28 + 34 + n**4 to c*n**2 + a*n + o*n**4 + g*n**3 + j and give c. 12 Express -151 + 327 + 71*v**2 - 199 as s + g*v**2 + o*v and give s. -23 Rearrange (-37479 - 335*t**2 + 1063*t**2 + 37479)*(-54*t - 22*t + 98*t) to r*t + h*t**2 + x*t**3 + b and give x. 16016 Express (-4*p**3 + 4*p**3 + 2*p**3)*(4*p + 8 - 8) - 1328*p**4 + 2657*p**4 - 67 - 1326*p**4 as o*p**2 + k + h*p**4 + v*p**3 + t*p and give k. -67 Rearrange -229*q - 215*q + 676*q + 12223*q**2 - 232*q to a*q + g*q**2 + t and give g. 12223 Express -1794*j + 1274*j - 3391*j + (-2*j + 4*j - j)*(-4 - 3 + 5) + j - 2*j - j - 2*j + 0 + 0 - 5*j - 2*j + 4*j in the form k*j + z and give k. -3920 Rearrange -4*m - 3*m**2 + 127004 - 253972 + 127006 to a*m + l*m**2 + t and give t. 38 Rearrange 1334*p + 23 + 21*p**4 - 1334*p + (p**3 + 0*p**2 + 0*p**2)*(-1 + 1 - 2*p) + 2*p**4 + 0*p**4 - p**4 to b*p**3 + r + l*p + z*p**2 + q*p**4 and give q. 20 Rearrange (27*m**3 + 108 - 108)*(3 + 2 - 3) + 2*m**3 - 753 - 9*m + 753 - 2*m**2 to h*m**3 + q*m**2 + w + n*m and give n. -9 Rearrange -2 - 34*m**2 + 36*m**2 - 40*m**4 - 955*m**3 + 39*m**4 to the form r*m + j*m**3 + v*m**4 + q*m**2 + n and give j. -955 Rearrange -7*i**3 + 608 - 609 - 23*i + 6*i**3 + 2*i**3 + 72*i**2 to r + z*i + f*i**3 + m*i**2 and give z. -23 Rearrange -3*c + 4*c + c + (2*c - 3*c - c)*(-2 + 3 - 2) + 0 + 0 - c + 0*c + 2*c + c - 249 + 146*c + 137 + 148 - 20 to the form t*c + g and give t. 152 Rearrange 2*s**2 - 120*s**3 - s**4 - s**4 - 123*s**3 - 454 + 242*s**3 to y*s + w*s**2 + t + f*s**3 + k*s**4 and give f. -1 Express (0 + 0 - 6)*(-72*j**2 + 108*j**2 + 107*j**2) in the form t*j**2 + g*j + b and give t. -858 Express -1 + 165*q + 1 + 6636*q + 62*q as x*q + v and give x. 6863 Express 1596*t**2 - 9 - 1595*t**2 + 9 + 7 + 161*t**3 in the form u + x*t**2 + d*t**3 + f*t and give u. 7 Rearrange -3*r**3 + 28*r - 7 + 2*r**4 + 9*r**3 + 6*r**3 + 32*r - 59*r to f*r**2 + u*r**4 + v + q*r + a*r**3 and give a. 12 Rearrange 4056*m + 6725*m - 2703*m to the form c*m + r and give c. 8078 Rearrange (2*j + 0*j - 3*j)*(-2*j + 4 - 4) + 4*j**2 + j**2 - 2*j**2 + 4*j**2 - 4*j**2 + j**2 + 1982*j**2 + 1989*j**2 - 3999*j**2 to a + r*j + b*j**2 and give b. -22 Express (-489*i**2 - 87*i**2 - 152*i**2)*(5 - 5 + i)*(1 + 3 - 1) as r*i**3 + o*i**2 + m + a*i and give r. -2184 Rearrange 58 - 74 - 5 - 327 - 4*a - 459 to the form q + b*a and give b. -4 Express (0*q + 5*q - 2*q)*(-4 + 2*q + 4) - 383*q**2 - 633*q**2 - 200*q**2 as s*q + t + c*q**2 and give c. -1210 Express 184*q + 2 - 179*q + 4 - 32*q**2 - 90*q**2 in the form s*q + r + o*q**2 and give s. 5 Rearrange (-24850*s**2 - 92*s**3 + 24850*s**2)*(8*s + 2*s - 3*s) to u*s + y*s**3 + t*s**4 + n*s**2 + o and give t. -644 Express (-2*j**2 - 2*j + 2*j)*(1 + 0 + 0) + (0*j - j + 4*j)*(-118 + 59 + 199)*(2*j + 3*j - 3*j) as n*j**2 + t*j + z and give n. 838 Express -49*u + 106*u**2 + 47*u - 85*u**2 - 2*u**3 - 23*u**2 + 689 in the form j + p*u**3 + h*u**2 + w*u and give j. 689 Rearrange (16 + 1 - 5)*(-3*o - 3*o + 4*o)*(282 - 116 + 540 + 45) to l + w*o and give w. -18024 Rearrange 806 + 33*j**2 - 2*j - 97 + 31*j**2 + 224 - 62*j**2 to the form q*j**2 + y*j + w and give q. 2 Express (4 + 3 - 6)*(3*a + 2*a - 3*a) - 424*a - 92359 + 92359 - 3*a + a + 0*a + (a - 1 + 1)*(-4 + 2 + 3) + 2*a + a - a + 4*a + a + 5*a as f + m*a and give m. -411 Express -4075*t**2 - 4343*t**2 + 7152*t**2 as q + o*t**2 + i*t and give o. -1266 Rearrange 112145*y**3 + 112142*y**3 + 2 - 224289*y**3 + 21*y to s*y**3 + l*y + i*y**2 + f and give f. 2 Rearrange 2*n**3 + 3*n - 3*n + (2*n**2 - 3*n + 3*n)*(960807*n + 12 - 960867*n + 34) to the form x*n + k*n**3 + i + q*n**2 and give q. 92 Rearrange 6047*t**2 - 32139*t**2 - 6141*t**2 - 6525*t**2 to k + q*t**2 + m*t and give q. -38758 Express (-5 - 4*q + 5)*(1 - 11*q - 1) + (1 - 1 + 2*q**2)*(-4 - 1 + 0) + q**2 + q**2 - 3*q**2 in the form n*q**2 + f*q + l and give l. 0 Express (2*i**3 + 12*i**3 + 25*i**3)*(19*i + 6*i + 21*i) - i**2 + 0*i**2 + 0*i**2 - i**4 as l + t*i**3 + u*i**4 + k*i**2 + q*i and give k. -1 Rearrange 536*j**4 + 1981 + 3*j - j**3 - 3*j - 537*j**4 to the form q*j**2 + o*j**4 + x*j**3 + w + t*j and give w. 1981 Express (3*k + 5*k - 4*k)*(-5 + 5 - 45*k)*(12 + 26 - 8) in the form v*k**2 + a*k + q and give v. -5400 Express -461 + 84*p + 461 - 2*p - 15*p + 2*p + p - 3 + 3 - 2*p + 3*p + 0*p + (-4 + 4 + 2*p)
{ "pile_set_name": "DM Mathematics" }
picked without replacement from bbllbxbllxllllxhbb. 5/102 Four letters picked without replacement from ffefqqjqjfawwfjqqwwf. Give prob of sequence fjqa. 1/1292 Four letters picked without replacement from wiirrlywyrixy. Give prob of sequence yrrr. 3/2860 What is prob of sequence wpwa when four letters picked without replacement from {w: 6, a: 4, x: 2, k: 1, p: 3}? 3/364 Calculate prob of sequence zf when two letters picked without replacement from fozrfzfzjzrjff. 10/91 Two letters picked without replacement from {y: 2, q: 3, p: 7, z: 4, b: 2}. Give prob of sequence qq. 1/51 Four letters picked without replacement from {r: 1, v: 2, y: 1, m: 3, z: 3, l: 3}. What is prob of sequence lvzz? 3/1430 Three letters picked without replacement from {u: 2, q: 3, k: 3}. What is prob of sequence quk? 3/56 Two letters picked without replacement from lfrtgfuluuf. What is prob of sequence rf? 3/110 Four letters picked without replacement from nvisininaainawnvaia. Give prob of sequence isaw. 25/93024 What is prob of sequence pppc when four letters picked without replacement from cmppccmcmzp? 1/330 What is prob of sequence ya when two letters picked without replacement from dyudioodyiiiaydyudd? 2/171 What is prob of sequence jada when four letters picked without replacement from {a: 2, d: 2, j: 2}? 1/45 Calculate prob of sequence fixi when four letters picked without replacement from {f: 1, i: 3, h: 1, x: 7}. 7/1980 Two letters picked without replacement from {n: 5, p: 11, d: 2, x: 2}. What is prob of sequence pn? 11/76 Four letters picked without replacement from {l: 17, y: 1, s: 1}. Give prob of sequence lyls. 1/342 Two letters picked without replacement from {h: 2, c: 9, a: 2, b: 3}. Give prob of sequence cc. 3/10 Two letters picked without replacement from {g: 2, y: 4, b: 2, s: 8, w: 1, a: 2}. Give prob of sequence bs. 8/171 Three letters picked without replacement from {a: 3, i: 3, t: 2}. Give prob of sequence tii. 1/28 Three letters picked without replacement from rrt. Give prob of sequence rtr. 1/3 Two letters picked without replacement from {d: 2, i: 2, r: 1, s: 1, o: 1}. What is prob of sequence rd? 1/21 Calculate prob of sequence ie when two letters picked without replacement from eiiieeeeeeeeeiie. 11/48 Three letters picked without replacement from {g: 8, j: 2}. Give prob of sequence gjg. 7/45 Three letters picked without replacement from {b: 14, p: 4}. What is prob of sequence bpp? 7/204 What is prob of sequence zyzz when four letters picked without replacement from zzzrzyzyzyzryzzzrrr? 10/323 What is prob of sequence pddp when four letters picked without replacement from {d: 4, p: 7}? 7/110 Calculate prob of sequence iwiw when four letters picked without replacement from {i: 8, w: 5}. 28/429 Calculate prob of sequence grjg when four letters picked without replacement from {r: 8, o: 1, g: 4, j: 2}. 8/1365 What is prob of sequence qbtm when four letters picked without replacement from {j: 1, b: 2, t: 1, m: 1, q: 2, z: 1}? 1/420 What is prob of sequence ggsz when four letters picked without replacement from {s: 6, f: 1, z: 8, g: 2, t: 1}? 1/765 Three letters picked without replacement from gegddmegdmhhedtt. What is prob of sequence ghm? 1/280 Two letters picked without replacement from {x: 3, u: 1, b: 1}. What is prob of sequence xu? 3/20 Two letters picked without replacement from {a: 3, t: 15}. What is prob of sequence aa? 1/51 Two letters picked without replacement from yyyqqyy. Give prob of sequence yy. 10/21 Four letters picked without replacement from {e: 2, o: 1, p: 8, z: 2}. What is prob of sequence zopz? 2/2145 Calculate prob of sequence ua when two letters picked without replacement from aacaccccccmmum. 3/182 Calculate prob of sequence aa when two letters picked without replacement from {z: 2, d: 2, h: 11, a: 1}. 0 What is prob of sequence upuu when four letters picked without replacement from puppupp? 0 What is prob of sequence iw when two letters picked without replacement from owooooiooooowow? 1/70 Calculate prob of sequence dp when two letters picked without replacement from papppaeddpee. 5/66 Three letters picked without replacement from {g: 3, l: 4, u: 1, t: 1, a: 5}. What is prob of sequence lga? 5/182 Two letters picked without replacement from {u: 2, l: 1, d: 2}. What is prob of sequence uu? 1/10 Calculate prob of sequence pd when two letters picked without replacement from {a: 1, r: 1, d: 6, y: 4, p: 1}. 1/26 Two letters picked without replacement from kkmkmmwkkkkq. What is prob of sequence kk? 7/22 Calculate prob of sequence gr when two letters picked without replacement from bgruubj. 1/42 What is prob of sequence ffaa when four letters picked without replacement from afaffafaffffffaffaf? 65/1292 Calculate prob of sequence vvcv when four letters picked without replacement from {v: 17, c: 1}. 1/18 Two letters picked without replacement from mmvvvmggmmmmgg. Give prob of sequence gg. 6/91 What is prob of sequence zk when two letters picked without replacement from hzrhhhhzzhhhzhkz? 1/48 What is prob of sequence uu when two letters picked without replacement from {u: 5, d: 3}? 5/14 What is prob of sequence txjt when four letters picked without replacement from {x: 9, j: 1, t: 10}? 9/1292 Calculate prob of sequence mn when two letters picked without replacement from {n: 1, m: 3}. 1/4 Calculate prob of sequence oon when three letters picked without replacement from bwovwwnwbo. 1/360 Three letters picked without replacement from vgggirggiqi. What is prob of sequence iri? 1/165 Three letters picked without replacement from vecceecaeecvee. What is prob of sequence eae? 1/52 What is prob of sequence ppii when four letters picked without replacement from {i: 6, p: 13}? 65/1292 What is prob of sequence upu when three letters picked without replacement from {p: 4, u: 2, k: 3, g: 2, m: 1}? 1/165 Two letters picked without replacement from {k: 5, d: 1, o: 2, q: 1, a: 3, p: 1}. Give prob of sequence qa. 1/52 Calculate prob of sequence xhx when three letters picked without replacement from {x: 9, h: 2}. 8/55 Four letters picked without replacement from {t: 2, l: 18}. What is prob of sequence ltlt? 1/190 What is prob of sequence gmt when three letters picked without replacement from {m: 3, k: 1, r: 3, t: 2, f: 1, g: 3}? 3/286 What is prob of sequence xddx when four letters picked without replacement from {d: 8, x: 3}? 7/165 Two letters picked without replacement from gfmffmmmifgdfgfr. What is prob of sequence mf? 1/10 Calculate prob of sequence arjk when four letters picked without replacement from kjrha. 1/120 Calculate prob of sequence bb when two letters picked without replacement from {b: 2, s: 16}. 1/153 Three letters picked without replacement from {t: 1, y: 2, j: 5, q: 6, v: 1}. Give prob of sequence tyj. 1/273 Four letters picked without replacement from lllffflllfllf. What is prob of sequence lfll? 14/143 Two letters picked without replacement from dqaqdpdyd. Give prob of sequence py. 1/72 What is prob of sequence rr when two letters picked without replacement from {r: 7, n: 7}? 3/13 Four letters picked without replacement from {w: 2, k: 4, n: 4, u: 1, t: 1, f: 2}. Give prob of sequence ffkw. 2/3003 Three letters picked without replacement from eggegtegqegbg. Give prob of sequence tee. 1/143 Three letters picked without replacement from {c: 8, o: 8, u: 1}. What is prob of sequence ouo? 7/510 Two letters picked without replacement from zolazpqlozzoap. Give prob of sequence aa. 1/91 Two letters picked without replacement from {g: 1, i: 9, c: 10}. What is prob of sequence cc? 9/38 What is prob of sequence jz when two letters picked without replacement from jjjjjjzjzjjjjjjjzj? 5/34 Calculate prob of sequence bih when three letters picked without replacement from hfhibhhbfbhh. 3/220 Two letters picked without replacement from ywyw. Give prob of sequence yw. 1/3 Two letters picked without replacement from eiqzzqqqqh. What is prob of sequence eh? 1/90 Two letters picked without replacement from {s: 1, z: 5, g: 1, i: 1, d: 3, r: 2}. Give prob of sequence di. 1/52 Calculate prob of sequence yvy when three letters picked without replacement from zyyyyyyvzvy. 14/165 What is prob of sequence vvk when three letters picked without replacement from v
{ "pile_set_name": "DM Mathematics" }
, given that g(r) = 0. -2, 11 Let z = -377 + 408. Factor 4*y**3 - 9*y - 55*y**2 + 6*y**4 - 11*y**4 - 21*y - z*y**3 - 3*y**3. -5*y*(y + 1)*(y + 2)*(y + 3) Let k(a) be the second derivative of a**7/840 - a**6/160 - a**5/240 + a**4/32 - 43*a**2/2 + 14*a. Let z(f) be the first derivative of k(f). Factor z(v). v*(v - 3)*(v - 1)*(v + 1)/4 Let x(u) = u**3 + 9*u**2 + 14*u + 8. Let p be x(-7). Let h be 264/60 + p/(-20). Factor 0 - 2/13*q + 2/13*q**3 - 2/13*q**2 + 2/13*q**h. 2*q*(q - 1)*(q + 1)**2/13 Let f(c) be the second derivative of -8/15*c**3 - 1/30*c**4 - 150*c + 0*c**2 + 0. Factor f(a). -2*a*(a + 8)/5 Let b = 208739 + -1878631/9. Determine j, given that b*j + 4/9*j**2 + 16/9 = 0. -4, -1 Suppose 347/2*z + 259*z**2 + 87/2 - 1/2*z**5 + 83/2*z**4 + 171*z**3 = 0. What is z? -1, 87 Factor 3/2*a**2 + 225/2*a - 114. 3*(a - 1)*(a + 76)/2 Let f(b) be the third derivative of b**6/120 + b**5/30 - 17*b**4/6 + 20*b**3 + 5*b**2 - 67*b. Factor f(q). (q - 6)*(q - 2)*(q + 10) Let a be ((-24 + 24)/3)/(-1). Let i(m) be the second derivative of -1/8*m**4 + 0*m**2 - 1/80*m**5 + a*m**3 + 0 + 48*m. Solve i(h) = 0 for h. -6, 0 Let h be 30731/6320 + -7 + 444/64. Solve h + 28/5*k + 4/5*k**2 = 0 for k. -6, -1 Let t(g) = -3*g**3 - 55*g**2 - 7*g + 1017. Let h(m) = m**3 + 27*m**2 + 3*m - 509. Let w(o) = 14*h(o) + 6*t(o). Suppose w(p) = 0. What is p? -4, 8 Let y(b) = -b**3 - 27*b**2 + 57*b - 26. Let p be y(-29). Let g(a) be the first derivative of 30 + 3/2*a - 1/6*a**p + 1/2*a**2. Suppose g(j) = 0. Calculate j. -1, 3 Let j(y) = 26*y**2 + 91*y + 138. Let c(q) = -27*q**2 - 90*q - 162. Let w(l) = -4*c(l) - 5*j(l). Factor w(v). -(2*v + 1)*(11*v + 42) Let g(u) be the third derivative of 7/2*u**3 + 0 + 0*u + 0*u**4 - 1/1080*u**6 + 1/360*u**5 - 11*u**2. Let d(s) be the first derivative of g(s). Factor d(t). -t*(t - 1)/3 Let o = 167 - 164. Factor -g**3 + 9*g**2 + 10*g + 7*g**2 + 8*g**o - g**3. 2*g*(g + 1)*(3*g + 5) Suppose 126*i - 496 = -133*i + 11*i. Suppose -20/11*y + 0 + 2/11*y**i = 0. Calculate y. 0, 10 Suppose 4*y = 5*g + 2, 0*g - 3*g - 3 = -3*y. Factor 5 + 3*k**2 + y*k + 12 - 35. 3*(k - 2)*(k + 3) Let 2*o**2 - o - 29 - o**3 - 35 + 64 = 0. Calculate o. 0, 1 Let i(u) = -13*u**2 + 4*u + 3. Let l be i(-1). Let b = 16 + l. Factor 0 - 3*a**b + 4*a**2 - 9*a + 6 + 2*a**2. 3*(a - 2)*(a - 1) Let z be 3/(195/(-80) + 3) - (-711)/(-158). Suppose 5*h + 0 - z*h**3 + 25/6*h**2 = 0. What is h? -1, 0, 6 Let 528/5 - 1/5*h**3 - 349/5*h - 178/5*h**2 = 0. Calculate h. -176, -3, 1 Suppose t - 21 = -3*k, 5*t = 22*k - 20*k + 122. Let y = t - 22. Factor -2/3*o**4 - 236/3*o**y - 120*o - 40/3*o**3 - 54. -2*(o + 1)**2*(o + 9)**2/3 Let i(s) = s**2 + 5915*s - 12054. Let c(l) = 5*l**2 + 35490*l - 72375. Let v(n) = 4*c(n) - 25*i(n). What is f in v(f) = 0? -1185, 2 Let q be ((-8)/(-10))/((-6)/(-10)). Suppose -733289*v - 768 = -733385*v. Let 8/3*z**2 - 20/3*z - v + q*z**3 = 0. Calculate z. -3, -1, 2 Let z(j) = -3*j**3 + j**2 + j. Let h(r) = 10*r**2 + 41*r + 2. Let p be h(-4). Let w(n) = -4*n**3 + 2*n**2. Let l(x) = p*w(x) + 4*z(x). Factor l(m). -4*m*(m - 1)*(m + 1) Suppose 75 = 30*m - 75. Let x be m - ((-518)/63)/(-2). Determine d so that 0*d + 0 - x*d**2 + 4/9*d**4 - 4/9*d**3 = 0. -1, 0, 2 Factor -3/4*w**2 + 4 + 1/8*w**3 + 0*w. (w - 4)**2*(w + 2)/8 Factor 2962/5*x - 2963/5 + 1/5*x**2. (x - 1)*(x + 2963)/5 Factor 1816*w**2 + 337095715 + 2484735*w + 3707*w**2 + 5*w**3 + 582*w**2. 5*(w + 407)**3 Let w = 12 - 12. Suppose 4*l + t - 4 = 2*l, 3*t + 12 = w. Factor -5*q**4 + 12*q**3 + q - 2*q**4 + l*q**4 - 49*q + 48. -3*(q - 2)**3*(q + 2) Suppose -2*i + 3*o + 22 = 0, 34*i - 29 = 29*i + o. Let p(k) be the first derivative of 0*k**2 - 1/36*k**3 - 1/24*k**4 - 1/60*k**i - 1 + 0*k. Factor p(v). -v**2*(v + 1)**2/12 Suppose 15*u**2 - 24*u + 3/2*u**3 - 240 = 0. What is u? -10, -4, 4 Let z(c) be the third derivative of 3/200*c**6 + 0 - 36*c**2 + 7/100*c**5 + 19/120*c**4 + 1/5*c**3 + 0*c + 1/1050*c**7. Determine p, given that z(p) = 0. -6, -1 Let v(i) = 2*i**2 - 22*i + 40. Suppose -3*y = 4*o - 51, -37 + 32 = -y. Let m be v(o). Let -2*q**2 + 0*q**3 - 4/3*q + 2/3*q**m + 0 = 0. What is q? -1, 0, 2 Suppose -u = -3*w + 4, 4 = 2*w + 8. Let s be (-22)/u - 1/5. Factor 14*o**3 + 44*o**s + o + o - 7*o**3 - 53*o**2. o*(o - 1)*(7*o - 2) Suppose -4*c**4 + 44*c**2 + c**3 + 80*c**2 - 14*c**3 - 174*c - 70*c + 17*c**3 + 120 = 0. What is c? -6, 1, 5 Let v(r) be the first derivative of 90 + 8/3*r**3 - 8*r + r**4 - 2*r**2. Solve v(l) = 0 for l. -2, -1, 1 Let t be (-74 + 82)*(-2)/(-4). Let o = -7 + 12. What is j in -15*j**o + 2*j**t - 5*j + 16*j**5 - 2*j**2 + 0*j**4 + 4*j = 0? -1, 0, 1 Find z such that -4*z + 238*z - 3*z**2 + 606 + 63*z = 0. -2, 101 Let f(g) be the third derivative of g**7/420 - 37*g**6/240 + 117*g**5/40 - 105*g**4/16 - 8418*g**2. Factor f(y). y*(y - 21)*(y - 15)*(y - 1)/2 Let o = 113 - 111. Factor -8*h + 4*h + 15*h**2 - 5*h**2 - 10 + 4*h**o. 2*(h - 1)*(7*h + 5) Let j(i) be the first derivative of 0*i**2 - 1/78*i**4 - 1/39*i**3 - 10*i - 15. Let x(l) be the first derivative of j(l). Suppose x(r) = 0. What is r? -1, 0 Let o(i) be the second derivative of 5/24*i**6 - 45*i - 1/4*i**5 + 0 + 5/6*i**3 - 7/16*i**4 - 1/2*i**2. Find k such that o(k) = 0. -1, 2/5, 1 Let t(i) be the third derivative of i**6/40 - 143*i**5/20 - 73*i**4/4 + 144*i**3 + 3111*i**2 - i + 2. Let t(n) = 0. What is n? -2, 1, 144 Let b(f) be the first derivative of 39 - 8*f + 8/3*f**3 - 2*f**2 + f**4. Factor b(r). 4*(r - 1)*(r + 1)*(r + 2) Let c(l) be the third derivative of l**5/270 - 5*l**4/36 + l**2 + 31*l. Factor c(q). 2*q*(q - 15)/9 Let i be (-4688)/42 + (-48)/(-168). Let x = i + 112. Factor -1/3*o**2 - x - o. -(o + 1)*(o + 2)/3 Let x(y) be the third derivative of -y**7/350 - 3*y**6/50 - 29*y**5/100 - 9*y**4/20 - 2111*y**2. Factor x(b). -3*b*(b + 1)*(b + 2)*(b + 9)/5 Let m be ((-7)/28)/(81/(-144)). Suppose -39 = 6*j - 57. What is b in -m*b + 1/9*b**2 + 1/9*b**j - 4/9 = 0? -2, -1, 2 Let z(l) = -l**3 - 4*l**2 - l - 1. Let v be z(-4). Suppose 0 = 2*n - 4*j - v + 11, -2*j - 12 = -5*n. What is o in 3*o**n + 0*o**4 + 244*o**3 - 244*o**3 = 0? 0 Suppose 16*d - 3616 - 1232 = 0. Factor -6*g**2 - 237*g**3 + 3*g**5 + 0*g + d*g**3 - 33 + 39*g**4 - 69*g. 3*(g - 1)*(g + 1)**3*(g + 11) Factor -1710 + 167*m**2 + 1325*m**2 - 522*m**2 - 35*m**3 - 5705*m. -5*(m - 19)*(m - 9)*(7*m + 2) Let k = -4172 + 4176. Let j(s) = -s + 13. Let d be j(8). Let 1/2*u + 2*u**2 - 1 + 1/2*u**d - u**3 - u**k = 0. Calculate u. -1, 1, 2 Let m be (44/66)/((-2)/(-225)). Suppose -63*k = -m*k. Factor k*f + 1/7 - 1/7*f**2. -(f - 1)*(f + 1)/7 Factor -1/4*c**2 + 7/4 - 3/2*c. -(c - 1)*(c + 7)/4 Let g(s) = -2*s**3 - 11*s**2 - s + 22. Let y be g(-5). Let o(f) be the third derivative of -1/3*f**4 - 3*f**y + 1/6*f**5 + 0*f**3 + 0*f + 0. Factor o(k). 2*k*(5*k - 4) Find l such that -6*l**2 + 54 + 3/8*l**5 + 48*l - 15/8*l**4 - 27/2*l**3 = 0. -2, 2, 9 Let i(y) be the second derivative of 5*y**4/36 + 325*y**3/18 + 295*y**2 + 2233*y. Determine c, given that i(c) = 0. -59, -6 Factor -439 - 285*d - 185 + 7*d + 28 - 256 + 2*d**2. 2*(d - 142)*(d + 3) Let n(a) be the first derivative of -a**4/28 - 71*a**3/21 - 134*a**2/7 + 6405. Factor n(y). -y*(y + 4)*(y + 67)/7 Let r(l) be the second derivative of -5*l**6/6 - 63*l**5/4 - 535*l**4/6 - 70*l**3 + 180*l**2 - 167*l. Let r(x) = 0. Calculate x. -6, -1, 2/5 Let n = 10739 + -10736. Let q(v) be the second derivative of 0*v**2 + 6*v + 0 + 1/20*v**4 + 1/10*v**n. Factor q(c). 3*c*(c + 1)/5 Let k = -8756 - -70049/8. Let o(c) be the first derivative of 0*c**3 + 0*c**2 - k*c**4 + 0*c - 16. Factor o(h). -h**3/2 Let -2/9*f**5 + 3822*f - 2396/9*f**3 + 2058 + 1484*f**2 + 122/9*f**4 = 0. What is f? -1, 21 Let a be (2/30)/((-1)/(-6)*(-240)/(-120)). Let v(l) be the second derivative of 7/60*l**4 + 7/30*l**3 + 1/50*l**5 + 33*l + 0 + a*l**2. Factor v(m). (m + 1)*(m + 2)*(2*m + 1)/5 Suppose 3*p = 4*p - 5*k - 36, 2*p + k - 28 = 0. Suppose -7*h + 6*h = m - 1, -3*m = -4*h + 18. Find j, given that -5*j**4 + p*j**h + j - j + j**4 = 0. 0, 4 Let d(i) be the first derivative of 7*i**4/16 + 297*i**3/4 + 127*i**2/4 - 386. Factor d(p). p*(p + 127)*(7*p + 2)/4 Let x be 1/((-8)/840*-21). Let w(l) be the third derivative of -1/160*l**x + 0*l + 1/16*l**4 - 1/4*l**3 + 0 - 11*l**2. Let w(t) = 0. What is t? 2 Suppose 112
{ "pile_set_name": "DM Mathematics" }
*(2*f**2 - 2 + 4 + 0). 8*f**4 + 8*f**2 Expand (-2*d**4 + d**3 - d**3)*(-d - 10203 + 10105 + 2*d). -2*d**5 + 196*d**4 Expand (z + 2*z - 4*z)*(-4 + 4 + 2*z) + (0*z**2 + 4*z**2 + 0*z**2)*(3 + 1 - 5). -6*z**2 Expand (-28*z**4 - 2*z + z + 31*z**4 + (-4 + 4 + 2*z**2)*(z**2 + 0*z**2 - 3*z**2))*(-2 + 2 - 5). 5*z**4 + 5*z Expand (-3 + 0 + 5)*(3*n**3 - 70*n**2 + 70*n**2) - 2 - n**3 + 2 + (0*n - n + 3*n)*(0*n**2 + 2*n**2 - 4*n**2). n**3 Expand 4*h**2 + 2*h**2 + 13*h**2 - 1 - 2*h**2 + 1 + (h + 3*h - h)*(3*h + h - 2*h) + 0*h**2 + 0*h**2 + h**2. 24*h**2 Expand (-4*g**2 - g**4 + 4*g**2)*(-35 - 19 - 36 - 129). 219*g**4 Expand (-9*g - 199*g + 15*g)*(-2 + 0 + 4)*(0 + 4 - 2). -772*g Expand (a + 0*a + a)*(0 + 5 - 3) + 2*a - a - 2*a - 34 + 37 + 1677*a - 2803*a. -1123*a + 3 Expand (-2*n**2 - 2*n**2 + n**2)*(-8320 - 226*n + 8320). 678*n**3 Expand 4*a - 6 + 6 + (0*a + 3*a - 2*a)*(2 - 5 - 2). -a Expand ((-25 + 17 + 17)*(-2 + 1 + 2) + 2 + 0 + 0)*(5*a - 3*a - 3*a)*(-2 - 1 + 0). 33*a Expand ((-1 + 3 + 1)*(1 - 1 + r) + 0*r + r + 2*r - r + 0*r + 0*r)*(-1 - 2 + 5)*(1 - 2 + 2) + (3 + 0 - 4)*(-r + 1 - 1). 11*r Expand (-4 + 4 + 2)*(1 - v - 1) - 838*v - 4 - 833*v + 1474*v. -199*v - 4 Expand -d**3 + 6*d**3 + 2*d**3 - d + d - d**3 + (0*d**2 + 2*d**2 + 3*d**2)*(-d + 2 - 2) - 5*d**3 + 2*d**3 + 4*d**3. 2*d**3 Expand (163 + 15*g - 163)*(-103 - 167 + 148). -1830*g Expand -1 + 2*v + 1 + 0*v - 6*v - 2*v + (5 - 3 + 0)*(-v - 1 + 1) + v - 2*v + 2*v + 7 - 7 - 2*v. -9*v Expand (2*i**3 + 0*i**3 - 3*i**3)*(0 - i + 0) + 0*i**3 + i**4 + 0*i**3 + 22*i - 14*i**4 - 22*i + i**4 + 43*i**4 + 10*i**4. 42*i**4 Expand (f - 5*f + 5*f)*(-1 + 5 + 4*f - 4). 4*f**2 Expand -2*r**2 + r + 29 + r**2 - 11 + (1 - 3 + 0)*(4 + 2*r**2 - 4) + r**2 + 4 - 4 + 4 - 3*r**2 - 4. -7*r**2 + r + 18 Expand (-8*y - 11*y - 11*y)*(2*y - 3*y + 3*y - 2 - 2*y + 2 + 2*y - 3*y + 0*y + (0 - y + 0)*(-3 + 4 + 1) - 1 + 1 + y). 60*y**2 Expand (0 + 0 - q**3)*(5 + 0 + 0)*((-1 + 5 - 2)*(-3 - 1 + 2) + 7 - 18 + 10). 25*q**3 Expand -16 - 2*x + 16 + (2*x + 5 - 5)*(-4 - 2 + 4). -6*x Expand 39*j**2 + 2*j**3 - 20*j**2 - 18*j**2 + 15*j + (-6 + 2 + 2)*(4*j + 2*j**3 - 4*j). -2*j**3 + j**2 + 15*j Expand (-782 - 220 + 74)*(-4 - 2*b + 4). 1856*b Expand 3*l**3 + 2*l**3 - 3*l**3 + (0 - 2*l + 0)*(2*l**2 + 0*l**2 - 4*l**2) - 2*l**3 - 2*l**3 + 6*l**3 + 47*l + 45*l**3 - 75*l - 37*l**3. 16*l**3 - 28*l Expand -2*d**4 - 3 + 3 + (2*d**3 - 2*d**3 + d**3)*(59 - 59 - 2*d) + (-14*d + 14*d - 4*d**3)*(-2 + d + 2) - 3*d**4 - 3*d**3 + 0*d**3 + d**3. -11*d**4 - 2*d**3 Expand (0 + 0 - 2*a**3)*(-2 + 1 + 3) - 2*a**2 - 4*a**2 + 8*a**2 - 1495*a**3 - 2*a**2. -1499*a**3 Expand 3*w - 4*w**4 - 3*w + 3*w**3 - 7*w**4 - 3*w**3 + (-w**2 + w**2 + w**2)*(2*w**2 - 9*w**2 + 0*w**2). -18*w**4 Expand (y**2 - 4 + 4 + 3*y**2 - 5*y**2 + y**2 + (0*y + 3*y - y)*(y - y - 2*y) - 4*y**2 + y**2 + y**2)*(4*y**2 - 41 + 41). -24*y**4 Expand -y**5 + 2*y**5 - 2*y**5 + (2*y**4 - 2*y**4 - y**4)*(-3*y + 3*y - 2*y) - 18 - 49*y**5 - 51*y**5 + 20 - 2*y. -99*y**5 - 2*y + 2 Expand (0 + 0 - 2*i + (2 - 2 - 2*i)*(1 - 1 + 1))*(-416 + 2*i + 416 + 121*i**2). -484*i**3 - 8*i**2 Expand (-3*w**2 + 4*w**2 + w**2)*((w - 3*w + w)*(-3 + 0 + 5) + 2*w - 15*w - 15*w)*(1 - 1 - w)*(0*w + 2*w - w). 60*w**5 Expand (-2*o**3 + 2*o**3 - 2*o**4 + (o + 2*o**3 - o)*(-5*o + o + 2*o))*(-8*o + 15*o + 8*o). -90*o**5 Expand (0*f**2 + 0*f**2 + f**4)*(5*f + 2*f - 5*f) + ((-2 + 2 + 1)*(0*f**5 - 5*f**5 + 3*f**5) + 3663*f - 3663*f + 29*f**5)*(4 - 3 + 1). 56*f**5 Expand (-7 + 5 + 3*y**2 - y**2)*(-2*y + y**2 + 2*y + (-y**2 + 0*y**2 + 0*y**2)*(0 - 3 + 0)). 8*y**4 - 8*y**2 Expand (-z**2 - 3*z**2 + 5*z**2)*(17 - 3*z - 22 - 30)*(2*z - 2 + 2). -6*z**4 - 70*z**3 Expand (2*r**2 + 0*r**2 + 0*r**2)*(-41*r**2 - 1407*r + 1407*r). -82*r**4 Expand ((257 - 257 + 5*o)*(3*o - 4*o + 3*o) + 4*o**2 + 2*o**2 - 5*o**2)*(-1 - o - 2*o + 2*o). -11*o**3 - 11*o**2 Expand (-2*i - 8*i + 10*i - 52*i**3)*(11 - 8 + 12). -780*i**3 Expand -117*t**2 + 11 + 117*t**2 - t**3 - 4*t**3 + t**3 - 2*t**3 - 2*t**3 + 4*t**3 - 3*t**3 + (-1 + 1 - t**2)*(2*t - 3 + 3) + 0*t**3 - t**3 + 2*t**3. -8*t**3 + 11 Expand 11*d**4 + 20*d**4 - 17*d**4 + 2*d**4 - 5*d + 5*d + (0 + 2*d + 0)*(0*d + 0*d - d**3) - 4*d**2 + d**4 + 4*d**2. 15*d**4 Expand (x + 2*x + 2 - 2*x)*(-10020 - 5*x + 11616 + 4*x). -x**2 + 1594*x + 3192 Expand (o**3 - 2*o + 2*o)*(-6026 + 6026 + 122*o**2) - o**3 + o**3 + o**5. 123*o**5 Expand 16*z**5 + 4*z - 4*z + (2*z**3 + 2*z**3 - 2*z**3)*(-z**2 - 4*z**2 + 4*z**2) - 2*z**2 + 2*z**2 + z**5 + (-z - 4*z + 6*z)*(1 - 1 - 2*z**4). 13*z**5 Expand (-4*p**2 + 2*p**2 + p**2)*(9*p - 2 + 2)*(0*p - 2*p + p)*(-8*p + p - 2*p). -81*p**5 Expand m**5 + 4*m**5 - 3*m**5 + ((-3 - 3 + 4)*(-1 + 1 - 2*m**2) + 0*m**2 + 0*m**2 - 3*m**2)*(32*m - 10*m**3 - 32*m). -8*m**5 Expand (-2 + 2 - 2*h**2)*(-4*h**3 + 269*h**2 - 271*h**2 + 3*h**3 - 32*h). 2*h**5 + 4*h**4 + 64*h**3 Expand -3*d + 5*d - d + d + 0*d - 2*d + 3*d - 7*d + 2*d + (-d - 4*d + 3*d)*(-1 - 2 + 4) - 3 - d + 3 + 0*d - 3*d + 6*d + (-8 - 6 + 5)*(-2*d + 3*d - 2*d). 7*d Expand 608*k**2 - 2851*k + 2851*k + (3 + 0 - 2)*(0*k - 2*k + 0*k)*(-k + k + k). 606*k**2 Expand (-2*i**2 - i**2 + 4*i**2)*(-1 + i**3 + 1) + 549*i**3 - 549*i**3 + 140*i**5. 141*i**5 Expand (-5 + 5 - n**2)*(-3 + 0 + 5) - 80 + 244 + 48*n**2 - 80 - 84. 46*n**2 Expand (-o**2 - 5*o**2 - 6*o**2)*(-1 - 1 - 6)*(0*o**2 - 5*o**2 + 4*o**2). -96*o**4 Expand (-81*o + 6101 - 6101)*(2*o + 2 + 1 - 2). -162*o**2 - 81*o Expand (24 + 11 - 18)*((-c**2 + 2*c**2 - 4*c**2)*(-4 - 1 + 4) - 1 + 1 + 2*c**2). 85*c**2 Expand ((3*l + 2*l - 2*l)*(-2*l - 4 + 4) - l + l - l**2 + (0*l + 2*l - 3*l)*(-1 + 1 - 2*l) + 0*l**2 - 2*l**2 + 3*l**2)*(15*l + 25*l - 13*l)*(2 + 0 + 0). -216*l**3 Expand -g**2 + 0*g**2 + 3*g**2 + 0*g**2 + 2*g**2 - 3*g**2 + (-31*g - 24 + 24)*(-2*g - g + g). 63*g**2 Expand (-5 + y + 5)*(-1 + 6720*y + 3 - 6679*y). 41*y**2 + 2*y Expand 11*a**4 + 103*a - 104*a - 281*a**2 + 290*a**2 + a**3 - a + a + a**4 + (-3*a + 2*a - a)*(a**3 + 4*a**2 - 4*a**2). 10*a**4 + a**3 + 9*a**2 - a Expand (-7 + 11 - 25)*(4 + 2 - 4)*(0 - 2 + 3)*(-2 + p + 2). -42*p Expand (129*v**2 + 6*v + 14*v - 20*v)*(5*v**2 + 2*v**2 - 6*v**2). 129*v**4 Expand (-2*i**3 + 10*i**3 - i**3)*(2*i + 2 - 2) + 3 + i**4 - 3 + 2*i**2 - i**4 - 2*i**2 + 8*i**4 - 2*i**4 + i**4. 21*i**4 Expand ((3 + 2 - 6)*(z + 1 - 1) + (3*z - 3*z - z)*(3 + 0 - 2))*(-13 + z + 13). -2*z**2 Expand (2*o**3 - o**3 + 2*o**3)*(-13*o + 50 - 50) + o**4 - 5*o**4 + 0*o**4. -43*o**4 Expand (-3 + 3 - r**2)*(-1 + 1 + 2*r) + 45*r**3 + 210*r**3 - 445*r**3. -192*r**3 Expand (13*j + 3*j - j)*(-8*j**2 + 10*j**2 + 8*j**2). 150*j**3 Expand (-3*w**3 + 5*w**3 + 0*w**3)*((-4 + 5 - 3)*(w - 3*w + 4*w) - 3040 + 3040 - 140*w). -288*w**4 Expand (-17 + 8 + 7)*(-14 + 2*b - 3*b + 12). 2*b + 4 Expand (-3*g + 0*g + 2 + 0)*(-6*g**2 - 7*g**2 + g**2). 36*g**3 - 24*g**2 Expand f**3 - f**3 + 2*f**3 + (-1 + 1 - 3)*(-3*f**3 + 3*f**3 - 9*f**3). 29*f**3 Expand -u**3 + u**3 - 4*u**3 + 6*u**3 - 2*u**3 - 2*u**3 + (-u + 0*u - u)*(-2*u**2 - 2 + 2) + 6*u**2 - 6*u**2 - 44*u**3 + 4*u**3 - 2*u**3 + 0*u**3. -40*u**3 Expand (2*p + 2*p - 6*p)*((0 + 1 - 2)*(1 + 0 + 3)*(25*p - 16*p + 11*p) + (3 - 2*p - 3)*(-4 + 2 + 0)). 152*p**2 Expand (-22*d + 11 - 11)*(-75 - 56*d + 75). 1232*d**2 Expand (-1 + 257*t**2 - 338*t**2 - 293*t**2)*(t + 2*t**3 - t). -748*t**5 - 2*t**3 Expand (-2*t - 4 + 4)*(-5 + 2*t**2 + 5) - 3*t**3 + t**3 + t**3 + 3*t**3 - 7*t**3 + t**3 + (0*t + 3*t - t)*(t**2 - 2*t**2 - t**2). -12*t**3 Expand (12*c + 17*c**2 - 12*c)*(1 + 2*c**2 - 1) + 0*c**4 - 3*c**4 - 2*c**4 + (-2*c**2 + 1 - 1)*(-3*c**2 + 0*c + 0*c). 35*c**4 Expand r - 1 - 3*r + 3 + (3*r - 4*r + 0*r)*(0 + 3 - 10 + 1 - 1 - 1 + (-1 + 2 - 3)*(-5 + 4 + 2) + 1 + 2 - 1). 6*r + 2 Expand (4*t - 5*t + 3*t)*(-3*t - 3*t + 7*t) + 36*t**2 - 13*t**2 - 16*t**2 - t**2 - 5*t**2 + 4*t**2 + (2 - 2 - 2)*(-1 + 1 - 2*t**2). 11*t**2 Expand (-2*i**4 - i**4 + 2*i**4)*(2*i + 3*i - 3*i) + 3*i**4 - 4 - 2*i**5 - 6214*i**3 + 5*i + 6214*i**3. -4*i**5 + 3*i**4 + 5*i - 4 Expand 80*w**2 + 113*w**2 + 180*w**2 + (-3*w**2 + w**2 + 3*w**2)*(-3 + 4 - 3) + 0*w + 0*w - 2*w**2. 369*w**2 Expand (5*j - 60*j - 38*j)*(3 - 2 - 3)*(0 + 2 - 3) - 2*j + 0*j + 0*j. -188*j Expand (3*p**4 - 2*p**4 - 4*p**4 + (-4*p + p + 2*p)*(-p**3 + 2*p - 2*p))*(10*p + 8*p - 3*p). -30*p**5 Expand -g**4 + 26*g + 6*g**4 - 3*g**4 + (-2*g**2 - 1 + 1)*(-5*
{ "pile_set_name": "DM Mathematics" }
*(-3)/(-9) -5/4 Calculate (725/3625)/(0 + 1). 1/5 What is the value of 3/50*32/24? 2/25 Evaluate -5 + (-3104)/(-1520)*5/2. 2/19 Evaluate (186/15)/((-176)/(-220)) - 17. -3/2 (-100)/(-10) - 1680/126 -10/3 (((-3)/(-116))/((-6)/(-8)))/(8/(-16)) -2/29 (255/(-544))/((-18)/((-2160)/50)) -9/8 (6 - 2)/(7 - 15/5) 1 7*(-2 - -3) + -71 + 70 6 What is ((-1)/3 - 126/108)/((-18)/84)? 7 What is the value of (-14)/(-2) - (-2 + 4) - 32/16? 3 Calculate (-2 - (-20)/15)*(-3 + 12). -6 Calculate (-5 - 1030/(-210))*(-14)/6. 2/9 Calculate (120/520)/(6/(-4)) - 396/(-39). 10 Calculate ((-13)/((-169)/3))/(9/(-6)). -2/13 What is ((-5)/(2/(1/(5/(-2)))))/(-1)? -1 What is the value of 20*(135/(-132) - 117/(-429))? -15 Calculate 11*-2 + (-16 + -17 - -46). -9 What is ((2907/(-12))/19)/((-42)/(-56))? -17 (6/(-12)*-6)/(1 + (-6)/(-3)) 1 Evaluate (-6398)/(-457) - (-1 + 31). -16 Evaluate (-268)/64*4 - -18. 5/4 Evaluate 6/(-16) + (-10275)/440 + 24. 3/11 What is the value of 15939/(-1155)*2/((-12)/10)? 23 (-615)/55 - 9/(297/(-6)) -11 Evaluate -1 - (1 + -1) - -13*(-4)/52. -2 What is ((-1 - 0)*(-2)/(-42))/((-2)/(-12))? -2/7 Evaluate ((-50)/140)/(45/(-180))*14/4. 5 Evaluate (-58)/(-58) - (-533)/(-507). -2/39 (-235)/752*(-4)/5 1/4 35*1/(-5) - (-146)/21 -1/21 60/(10 + -22) + 5*-1 -10 What is the value of (-82)/(-1107)*((-21)/6 - -2)? -1/9 What is the value of (-196)/21*9/72? -7/6 Evaluate ((-168)/(-190))/(-3) + (-186)/(-465). 2/19 What is (-22)/(-33) - 12/45? 2/5 What is the value of 25/110*(-240)/600? -1/11 Evaluate ((-22)/10)/((-15)/75). 11 (-2508)/(-132) + -14 + -3 2 What is 7 + (175/15 - 17)? 5/3 What is the value of (-29526)/(-2618) - 12 - ((-84)/33 + 2)? -3/17 Evaluate ((-221)/238)/(26/(-8)). 2/7 Evaluate -6 + (1 - (-14 + 6)) + 5/(-20). 11/4 Calculate (-1)/(-9)*(-44)/(-110)*30/(-8). -1/6 Calculate 8/54*(143/22 - 5). 2/9 Calculate (-30)/(-315) - (-320)/168. 2 Evaluate -20 - (0 - (48/(-20))/(22/(-55))). -14 What is -38 - (-20 + (-720)/30)? 6 What is the value of (-82)/(328/(-15)) - (-54)/(-14)? -3/28 Evaluate (-78)/117 + 8/(-6). -2 ((-1)/((-20)/48))/((-5642)/1085) -6/13 ((-40376)/(-69216))/(32/(-18) + 1) -3/4 (462/4950)/((-14)/(-12)) 2/25 Evaluate -1*13 + 104/(49088/6195). 1/8 Calculate (-24 - -30)*(-133)/57. -14 Calculate -7 + (-1*(-2)/(-4) - 459/102). -12 Evaluate ((-1)/(-68))/((-339)/1356). -1/17 2/14 + (-798)/(-931) 1 What is (-19 - (-132)/8)*(-2 + 74/40)? 3/8 1/(8/(-33) - (-105)/315) 11 Calculate (14 - 99/18)/((-1)/2). -17 What is the value of (4/((-16)/9))/(3315/120 - 28)? 6 (272/112 + -2)*-1*1 -3/7 Evaluate ((276/(-36))/23)/(-1 + 28/30). 5 What is the value of -10 + -1 + (552/(-144) - 15/(-18))? -14 What is the value of (-15)/45*86/(-4) + (33 - 41)? -5/6 Calculate (-15)/(-5) - (1 + 90/44). -1/22 882/539*(-2)/3 -12/11 What is (2/(-238))/(66*20/9240)? -1/17 Calculate -10 + (-913)/(-102) + (-882)/(-756). 2/17 Evaluate 5*(-41 + 6976/170). 3/17 Calculate (-162)/(-39) - (-78)/(-507). 4 What is -2 + 300/(-42) + 6/(-7)? -10 What is the value of 38/10 - ((-21 - -102) + -77)? -1/5 (-9)/(-40)*156/(-819)*7 -3/10 Calculate 18/72 + (1020/(-144))/17. -1/6 What is (-1)/((-6)/(-15))*(107 + -105)? -5 What is 209/(-22) + (5 - 1)? -11/2 Calculate 3 - (3168/52)/22. 3/13 Calculate (5/(-12))/(728/(-84) - -8). 5/8 Evaluate 1396/2443 - 712/(-28). 26 Evaluate ((-2)/(-6))/(3298/582)*(0 - -1). 1/17 Evaluate (-23 - (-6 - 26)) + ((-385)/(-9))/(-5). 4/9 (-14)/1*(3/588)/(8/(-64)) 4/7 What is the value of 1378/(-65) - ((-2)/8)/((-70)/(-336))? -20 Evaluate 30/20*4/3*105/(-30). -7 What is the value of 28 + 798/(-28) - 1*(-12)/(-16)? -5/4 Evaluate (115/10 - (-1 - -5))*684/(-2850). -9/5 What is the value of 14/77 + (-632)/88 - -8? 1 10 - (-15 - 492/(-20)) 2/5 What is the value of (-2948)/1072 + 30/4? 19/4 Calculate 2125/(-1275)*6/(-2 + 0). 5 (-1)/(-7)*(-56)/(-720)*9 1/10 What is the value of -770*25/(-3150) - (0 + 5)? 10/9 (-40180)/(-1476) - 10/45 27 Calculate (7788/1888)/(2 - 29/16). 22 Calculate -42 - (54/(-3) + 1 + (1 - -6)). -32 What is the value of (-15*22/(-165))/(2/15 - 0)? 15 What is the value of (76/95)/(3 - 380/125)? -20 What is the value of 54/(-252)*56/48? -1/4 1*(11 - (6 - -6)) + 21/(-3) -8 What is the value of -11 + (2196/60)/3? 6/5 (57/15 - -1)/((40/25)/4) 12 Evaluate 420/19950 + (-4552)/(-380). 12 What is the value of (232/(-48))/(-29) - ((-200)/15)/4? 7/2 Evaluate 6 - (-10 - -9 - 8). 15 156/13 + -29 + (0 - (-1 - 1)) -15 (2 - 0) + (-57120)/1785 -30 (-612)/(-2244)*8/(-6) -4/11 (8 + -3 - -3) + (37 - 20) 25 -1*4/3*(-102)/(-476) -2/7 Calculate 100/(-40)*(16/(-1200) + 1/3). -4/5 Evaluate (-1)/(8 - 24/(10 - 4)). -1/4 What is (530/159)/(33/198 + 86/12)? 5/11 What is (10/6)/(8/624*13)? 10 Evaluate (-32 + 38)*(-21)/6*1. -21 Calculate ((-15)/5)/((-9)/(-195)*-5). 13 (76 - 90)/(-70*1) 1/5 (9575/68940)/(5*1) 1/36 What is the value of (-6)/(-20) - 29925/114750? 2/51 What is the value of -24 + (-1256)/(-52) + 930/39? 24 Calculate 91/(-15) - (-30)/(-50) - 44/(-66). -6 What is 18/(-540)*-30 - (0 - -2)? -1 10 + -7 + (6/18)/((-1)/39) -10 What is (29 - 32)*10/(-900)? 1/30 What is (-3170)/(-7925) + (-16)/6*(-162)/20? 22 What is the value of (-4)/(-7)*1 + (259 - 259)? 4/7 (-3)/(-7) + 6752/1232 + -6 -1/11 Calculate (-14)/(-4)*(-20 + (-4784)/(-322)). -18 Calculate ((-3)/(-9))/(14/3 - (-10 + 13)). 1/5 Evaluate ((-4)/12)/((-12)/(648/(-63))). -2/7 Evaluate (24576/108)/(-16) + (-112)/(-18) + -6. -14 What is the value of (25/15)/((-3)/63) + (-86 - -95)? -26 What is (-261)/15*(-3405)/(-2043)? -29 Evaluate 2976/72 + -15 + -26. 1/3 Evaluate 50/(-2)*738/(-16605). 10/9 ((-48)/(-1728))/(20/128) + 4/(-30) 2/45 What is the value of 1/21 - 18/(-63)? 1/3 What is -8*21/6 - -4? -24 Calculate ((-68)/(-24))/(66/(-132)) - (-4)/2. -11/3 What is 370/12 + (-131)/(-786)? 31 Evaluate (-4)/(1/(-3) + 14/(378/(-45))). 2 What is the value of -156*12/(-144) - -6? 19 What is (188/658)/((-8)/(-14) + (0 - -1))? 2/11 Calculate 2325/248 + (-12)/32. 9 1/2*3/((-30)/(-70)) 7/2 Evaluate 18840/(-628) + (-38)/(-2). -11 Calculate (-43297)/2059 + (-6)/(-213). -21 Calculate (27/36*1)/3. 1/4 Evaluate (-1)/(-4 - (-35)/10) + 46/(-184). 7/4 What is the value of ((-1)/(9/108))/((-2)/(-3))? -18 What is (-26)/(-6) + 1 - (-6)/(-2) - 2? 1/3 What is (7 - -14) + -48 + 9? -18 What is (-33)/(5280/(-64))*2/(-20)? -1/25 What is -7*(-39)/91 + (-28)/8*2? -4 Evaluate 4*(-3 + (-69)/(-24))/(33/(-858)). 13 Calculate (832/(-26) - -18) + (-468)/(-33). 2/11 What is the value of (47/((-564)/(-64)))/(2/3)? 8 Evaluate (6448/336 + -19)*(-7)/30. -2/45 (30/40)/3 + 1 5/4 What is -7 - 33*(60/(-48) - -1)? 5/4 Calculate (-39)/(-9)*((-105)/42)/(5/6). -13 Evaluate 57*1/(-105) + (-11 - 638/(-55)). 2/35 Calculate 1/(-5)*-1*-3 - (-423)/630. 1/14 (-534)/15 - (-9 + 1363/145) -36 What is (-58)/(-8) + (-5)/(-6) + 299/(-276)? 7 What is the value of (522/116)/((-9)/(-2) - -3)? 3/5 Calculate ((-4)/(-26) + -4*(-210)/(-728))*-23. 23 Evaluate (113 - 123)*((-102)/(-15) + -4). -28 Calculate (-2)/(-12) + 3/6 + 179 + -180. -1/3 Calculate 26 + -26 + (28 - 23)*(-2 + 1). -5 (-82)/26 + 14/91 -3 Calculate 962/(-46) - (408/391)/12. -21 (10/36 + (-6)/(-27))*58/957 1/33 What is (656/(-410))/(876/15)? -2/73 15 - 552/32 - (-1 - (-21)/28) -2 (-1 - (-48)/3) + (-3480)/174 -5 (16/12 - 68/24)*(-2)/(-6) -1/2 What is the value of (-196)/42*(-2 + 14/4)? -7 Evaluate (2/(-4))/(280/30*9/7). -1/24 Evaluate (-210)/135 - ((-15915)/945 + 13). 16/7 Evaluate 2265/(-255) - (-26)/(-221). -9 What is 105/735 + (-244)/(-7)? 35 Evaluate (-13)/65*(8 - 7). -1/5 What is (428/21)/4 + -9 + 4? 2/21 ((-12)/(-16))/(45/320) + (2 - 2) 16/3 14/54*(1746/126 - 13) 2/9 What is the value of (-20)/(-24)*(-1584)/(-825)? 8/5 Evaluate 6056/19682 - (-59)/(-65). -3/5 Calculate 128/63 + 19*23/3933. 15/7 Evaluate (136/(-12) + 12)/(0 + (-2)/6). -2 Evaluate ((-195)/13 - -13) + 108/51. 2/17 Evaluate (78/(-4))/(-13) + (-126)/12. -9 Evaluate (8/(-16))/(1/3)*(63 + -57). -9 Evaluate 2 + (-756)/351 + 204/(-26). -8 What is 81/(3159/156) + 75/18*-1? -1/6 Evaluate (24/60)/((-20)/375*12). -5/8 What is 882/72 - 9/36? 12 Calculate 210/(-21) - 314/(-32). -3/16 2/(-44) + ((-2511)/396)/9 -3/4 What is ((-1570)/520 - -3)/((-19)/(-76))? -1/13 What is the value of -17 + -17 + (3 - (-6400)/208)? -3/13 What is (8505/(-25))/21 - -16? -1/5 What is the value of (-2)/8*((-1392)/104 - 168/(-12))
{ "pile_set_name": "DM Mathematics" }
descending order. 0.09, 5/317, -4/19, -4 Sort 5, 2, 86, -8, -4/19, -44, -0.4 in decreasing order. 86, 5, 2, -4/19, -0.4, -8, -44 Put -4, 206.08, -64 in ascending order. -64, -4, 206.08 Sort -1, -8077, 10, -2 in ascending order. -8077, -2, -1, 10 Sort 16, 1, -5, -451, -1. -451, -5, -1, 1, 16 Put -7, 4, 0, -2, -130, 13 in descending order. 13, 4, 0, -2, -7, -130 Put -0.1, -11892, -1/5, 6.8, -3 in descending order. 6.8, -0.1, -1/5, -3, -11892 Sort 42082909, -0.3, 2/7 in descending order. 42082909, 2/7, -0.3 Sort 0.003, 275, 6 in descending order. 275, 6, 0.003 Sort 1/14, -1, -0.4, -63568. -63568, -1, -0.4, 1/14 Sort -5, -18936, 23, -3, -8. -18936, -8, -5, -3, 23 Sort -2, 22377.3, -28 in ascending order. -28, -2, 22377.3 Put -841, -6, -5170, 2 in increasing order. -5170, -841, -6, 2 Put -96, -59, -78/35 in increasing order. -96, -59, -78/35 Sort 3, 0.5, -15.8, -1/156, 4, 1 in decreasing order. 4, 3, 1, 0.5, -1/156, -15.8 Sort 37, 150, -40 in ascending order. -40, 37, 150 Sort 3234, -8, -151 in decreasing order. 3234, -8, -151 Sort -3, 34/9, 2/21, 41/12, -3/5 in decreasing order. 34/9, 41/12, 2/21, -3/5, -3 Sort 1234, 1, -1595 in descending order. 1234, 1, -1595 Put 38, 4, 69, -3, -2, 8, -5 in decreasing order. 69, 38, 8, 4, -2, -3, -5 Put 10, 5, 140, -9, -20, -3, -2 in decreasing order. 140, 10, 5, -2, -3, -9, -20 Put -31, 23, -28, 1, 6, 13 in descending order. 23, 13, 6, 1, -28, -31 Sort 49, 18, 11, -2, 2/3, 4 in increasing order. -2, 2/3, 4, 11, 18, 49 Sort -304, 368, -27, -3, 2, 5. -304, -27, -3, 2, 5, 368 Sort -7527919, -2, 4 in decreasing order. 4, -2, -7527919 Put 0.5, 2/13, 6, -10970 in ascending order. -10970, 2/13, 0.5, 6 Sort 7, -408, -7, 1, -4, -2, -8 in descending order. 7, 1, -2, -4, -7, -8, -408 Sort -1, 5, -6.2, 915, 0.4, 4. -6.2, -1, 0.4, 4, 5, 915 Sort -76, 2, -5, -83/23, 2/5, 1 in decreasing order. 2, 1, 2/5, -83/23, -5, -76 Put -0.4, -1/3, -203918, 0 in ascending order. -203918, -0.4, -1/3, 0 Put 10, -96, -2, -28 in increasing order. -96, -28, -2, 10 Sort -598, 5, 0, 3, -4134, 4 in increasing order. -4134, -598, 0, 3, 4, 5 Sort 0, -22, 35, -4, 11953. -22, -4, 0, 35, 11953 Sort 2, -6/7, 8/5, -5, -1193/2 in decreasing order. 2, 8/5, -6/7, -5, -1193/2 Sort -3, 3, -1, 2/17, 36, 251, 5/7 in decreasing order. 251, 36, 3, 5/7, 2/17, -1, -3 Put -3, 5, -2, -1, -12, 35 in increasing order. -12, -3, -2, -1, 5, 35 Put -90, -44, -7, 31 in ascending order. -90, -44, -7, 31 Sort -25, 57, 1, 3, 4, 6, -3 in decreasing order. 57, 6, 4, 3, 1, -3, -25 Sort -1, -2/7, 32, -0.3, 49, 11 in ascending order. -1, -0.3, -2/7, 11, 32, 49 Put -1, -199, -5, 1, 3, 9 in decreasing order. 9, 3, 1, -1, -5, -199 Sort -19, 2, -246427, 5, -7. -246427, -19, -7, 2, 5 Sort -2.4, -3.2, -1463. -1463, -3.2, -2.4 Sort -8, -93, 45111. -93, -8, 45111 Sort 130, -10, 15779 in decreasing order. 15779, 130, -10 Sort 76, 36, -264 in descending order. 76, 36, -264 Sort -4, -10, 4, -5, 52, 25 in increasing order. -10, -5, -4, 4, 25, 52 Put -1309, 0, -3, 1962 in decreasing order. 1962, 0, -3, -1309 Sort -4/3, -4/9, 54/11, 0.474, -4 in decreasing order. 54/11, 0.474, -4/9, -4/3, -4 Sort -67405, 1, -5, -6, -55 in decreasing order. 1, -5, -6, -55, -67405 Put -68801, -1, 198 in ascending order. -68801, -1, 198 Sort 2, 11, 4, -304, -3 in descending order. 11, 4, 2, -3, -304 Put 6/11, 3, -2, -38, -0.227 in ascending order. -38, -2, -0.227, 6/11, 3 Sort -2, -309, -32907. -32907, -309, -2 Sort -1, 3/2, 1/1564, -2/1113. -1, -2/1113, 1/1564, 3/2 Sort 0, 1/2150, -16, -3 in increasing order. -16, -3, 0, 1/2150 Sort 13, -5, 25, 5, -236, 8 in ascending order. -236, -5, 5, 8, 13, 25 Put -0.1646, 0.79, -11 in decreasing order. 0.79, -0.1646, -11 Sort -4, -1790723, -3 in decreasing order. -3, -4, -1790723 Put 2, -1428, 3, -21, 0 in decreasing order. 3, 2, 0, -21, -1428 Sort -3/1438, -31, 189 in increasing order. -31, -3/1438, 189 Sort -8, 29954, -1, -56 in increasing order. -56, -8, -1, 29954 Sort 276.2468, 1/5, 2.3 in decreasing order. 276.2468, 2.3, 1/5 Put -522, 1, -16, 95 in descending order. 95, 1, -16, -522 Sort -7, -7/15, 0.9, 520 in decreasing order. 520, 0.9, -7/15, -7 Sort -1171, -5, -12, -6, -30, -2 in descending order. -2, -5, -6, -12, -30, -1171 Put 1/4, -1.4, 5/4, -52, 1, -0.11 in decreasing order. 5/4, 1, 1/4, -0.11, -1.4, -52 Put -2/453, 4, -3, 1/4, 9, 5/6 in descending order. 9, 4, 5/6, 1/4, -2/453, -3 Put 1875, -2, -1, 61 in increasing order. -2, -1, 61, 1875 Put 48, -29/3, -150.9 in increasing order. -150.9, -29/3, 48 Put -3, 570, 467, 0, 3, 1 in decreasing order. 570, 467, 3, 1, 0, -3 Sort -11, -1, 3, -4, 0, 271, -589 in descending order. 271, 3, 0, -1, -4, -11, -589 Put -3, -14, -385586 in descending order. -3, -14, -385586 Put 4, -14, 0, -986, -11 in decreasing order. 4, 0, -11, -14, -986 Put 17, 0, -12093, -8, -1 in increasing order. -12093, -8, -1, 0, 17 Put -394274, 10/11, -0.5 in decreasing order. 10/11, -0.5, -394274 Put 5, 1, -15361, 3, -3 in decreasing order. 5, 3, 1, -3, -15361 Put 16, -4, -464654 in descending order. 16, -4, -464654 Put 248, -10, -39, 6, -2, -5 in descending order. 248, 6, -2, -5, -10, -39 Put 3, -143, 0, 1098, -9 in descending order. 1098, 3, 0, -9, -143 Sort 1, 24, 4, 15, -98, 79 in increasing order. -98, 1, 4, 15, 24, 79 Sort -347, 15/4256, -4. -347, -4, 15/4256 Put 0.24, -663, 167, -0.02 in descending order. 167, 0.24, -0.02, -663 Sort -1/3, -1.634, -15, 7/2 in descending order. 7/2, -1/3, -1.634, -15 Put 718225, 4, 1 in decreasing order. 718225, 4, 1 Sort -69, -1/4, 1, -2/17 in decreasing order. 1, -2/17, -1/4, -69 Put -0.7, -3, 0, -292.5, 0.5 in ascending order. -292.5, -3, -0.7, 0, 0.5 Sort -275, 0.05, 6/19, -2/53 in ascending order. -275, -2/53, 0.05, 6/19 Sort 35, 5, 2039, 2, -2, -4 in ascending order. -4, -2, 2, 5, 35, 2039 Sort 17.19, -3/7, 1/4, -2/9, 4, 194 in descending order. 194, 17.19, 4, 1/4, -2/9, -3/7 Put -6, -4, 3, 64, -165 in decreasing order. 64, 3, -4, -6, -165 Sort 2/11, 3, 0.3, -1792, -17, -2 in descending order. 3, 0.3, 2/11, -2, -17, -1792 Sort -6, -1, 7, 111, -103, 5, -4 in ascending order. -103, -6, -4, -1, 5, 7, 111 Put 0.3, 0.1, -1/4, 239598 in descending order. 239598, 0.3, 0.1, -1/4 Sort -677, -712, 196 in ascending order. -712, -677, 196 Sort -0.5, 1, -10662/109 in descending order. 1, -0.5, -10662/109 Sort -4, 5, -23, -0.2, -180/7 in decreasing order. 5, -0.2, -4, -23, -180/7 Put -1, -107, 22, -9, 3, -5 in ascending order. -107, -9, -5, -1, 3, 22 Sort 147, 3, -1, -5, -69, 1/3 in ascending order. -69, -5, -1, 1/3, 3, 147 Sort -2/7, -6689, 358, 4, -0.4 in decreasing order. 358, 4, -2/7, -0.4, -6689 Put 0.2, -7, 0.45, 0, 644, -5 in ascending order. -7, -5, 0, 0.2, 0.45, 644 Sort -58, 47, 5, -3, 2, 4 in decreasing order. 47, 5, 4, 2, -3, -58 Put -7/4, -641, -509 in descending order. -7/4, -509, -641 Put 1.3, 118, 12, 0.23 in decreasing order. 118, 12, 1.3, 0.23 Sort 8, -0.5, 920/39 in decreasing order. 920/39, 8, -0.5 Put -1, -3, 380097, 0, 6/5, 5 in decreasing order. 380097, 5, 6/5, 0, -1, -3 Sort 18, 1009, -8, -2 in descending order. 1009, 18, -2, -8 Sort -453956, -0.8, -4 in ascending order. -453956, -4, -0.8 Put 3, 4, -2, -1172900, -11 in increasing order. -1172900, -11, -2, 3, 4 Put 3/5, -0.4, -76/113, 7, 1.78 in decreasing order. 7, 1.78, 3/5, -0.4, -76/113 Put -7, 2, 5, -1, -4, -319 in descending order. 5, 2, -1, -4, -7, -319 Sort -29, -4, 3, -4.8, 6, 5/7. -29, -4.8, -4, 5/7, 3, 6 Sort -19429, 6, -20 in descending order. 6, -20, -19429 Put 52, 415832, 1 in ascending order. 1, 52, 415832 Sort -4, 16, 336, -88, -1, -9 in ascending order. -88, -9, -4, -1, 16, 336 Put -10615, 45, 159 in descending order. 159, 45, -10615 Put 5, 3, 472, 4, 49, -1/2 in ascending order. -1/2, 3, 4, 5, 49, 472 Sort -1, 4, 32, -2, 2, -20 in increasing order. -20, -2, -1, 2, 4, 32 Put -5, 124, -0.2, 0, -4, -17768 in decreasing order. 124, 0, -0.2, -4, -5, -17768 Put 4, 0.0084, -3, 9, 2, -0.1 in decreasing order. 9, 4, 2, 0.0084, -0.1, -3 Sort 2/137, 103/4, 3, 0, -2 in increasing order. -2, 0, 2/137, 3, 103/4 Sort -4, 3, 1, 47847 in decreasing order. 47847, 3, 1, -4 Sort 1, -1463, -2, 23, -4, -22. -1463, -22, -4, -2, 1, 23 Sort -1, -23, 76018, 5 in ascending order. -23, -1, 5, 76018 Sort -365, -42, -51, -5, -2 in ascending order. -365, -5
{ "pile_set_name": "DM Mathematics" }
- 6 + 3 - 1 - 9*q = 0. What is q? -2, -1 Suppose x - 11 = -8*i + 3*i, 0 = 4*i - 4*x - 28. Find s such that -2*s**4 - 2/3*s**i + 2*s**2 + 4/3*s - 2/3*s**5 + 0 = 0. -2, -1, 0, 1 Let m(f) be the third derivative of f**6/180 - f**5/45 + f**4/36 - 2*f**2. Let m(i) = 0. What is i? 0, 1 Let d be -10 + 10 - 2/(-6). Let r(j) be the second derivative of -d*j**3 + 4*j + 1/2*j**2 + 1/12*j**4 + 0. Factor r(p). (p - 1)**2 Let f(o) be the first derivative of -o**5 + 5*o**3 + 5*o**2 + 12. Determine m, given that f(m) = 0. -1, 0, 2 Suppose -c + 3 = -3*s + 5, 0 = 5*c + 10. Solve s*t - 3/5*t**4 - 3/5*t**2 + 0 - 6/5*t**3 = 0. -1, 0 Let o(s) be the third derivative of -s**4/12 - 2*s**3/3 - 2*s**2. Let h be o(-5). Factor -8 - 2*m**2 + 4 + h*m + 4*m + 2*m**3 - 6*m**2. 2*(m - 2)*(m - 1)**2 Let t = -100 - -100. Factor -2/7*m**2 + t - 2/7*m. -2*m*(m + 1)/7 Let g be (-6)/(-3)*(-3)/(-12). Let g*d**4 + 0*d + 0 + 0*d**2 - 1/4*d**3 + 3/4*d**5 = 0. What is d? -1, 0, 1/3 Let a be 6/8 + 180/(-1008). Let 6/7*b**4 - 8/7*b**3 + a*b + 0 - 2/7*b**2 = 0. Calculate b. -2/3, 0, 1 Let 0 + s**2 + 1/2*s**3 + 1/2*s = 0. What is s? -1, 0 Let m(c) be the first derivative of -c**4/14 - 4*c**3/21 - 10. Find n, given that m(n) = 0. -2, 0 Let o = 541 - 541. What is b in 1/2*b**2 + o + b = 0? -2, 0 Let r(v) be the first derivative of -v**6/2 + 3*v**5/5 + 3*v**4/4 - v**3 + 27. Determine g so that r(g) = 0. -1, 0, 1 Let c(p) be the first derivative of p**4/36 - 2*p**3/9 + 2*p**2/3 - 6*p + 5. Let w(m) be the first derivative of c(m). Determine r, given that w(r) = 0. 2 Let g = 5 - 0. Let i = 8 - g. Factor 0*n - 2 - n**2 - 2*n + i*n**2 - 2. 2*(n - 2)*(n + 1) Let x = 9 + -4. Factor 2*d**5 + d**4 - 2*d**x + d**5. d**4*(d + 1) Let o = 45 + 10. Let b = 167/3 - o. Factor -2/3 + 4/3*l - b*l**2. -2*(l - 1)**2/3 Suppose -32 = 9*d - 13*d. What is u in -16/3*u**2 - d*u**3 - 4*u**4 - 2/3*u**5 + 0*u + 0 = 0? -2, 0 Let z(l) be the third derivative of -1/30*l**5 + 0*l + 4*l**2 - 1/4*l**4 - 2/3*l**3 + 0. Solve z(s) = 0 for s. -2, -1 Let w(o) be the first derivative of o**8/1176 - o**2 - 5. Let t(z) be the second derivative of w(z). Determine f so that t(f) = 0. 0 Let q(r) be the first derivative of r**2 - 1/2*r**4 + 2/5*r**5 + 0*r - 4 - 2/3*r**3. Factor q(t). 2*t*(t - 1)**2*(t + 1) Let c(o) = o**2 - 3*o + 3. Let f(z) = 5*z**2 - 17*z + 17. Let q(v) = -34*c(v) + 6*f(v). Solve q(w) = 0. 0 Let c = 14 - 26. Let d = c - -51/4. Factor -d*g**2 - 1/4 + g. -(g - 1)*(3*g - 1)/4 Suppose -g - 2*r = r - 10, g + 5*r - 16 = 0. Suppose -3*s + g = -5. Factor s*f**3 + f**3 - f**4 - 2*f**3. -f**3*(f - 1) Suppose 6*s - 3 = 3*s. Suppose -2 = -3*b + 10. Factor -8 + 4 - 3*g**b + 6*g**2 + s. -3*(g - 1)**2*(g + 1)**2 Suppose 67 - 69 = -q. Let y(s) be the second derivative of 0 - 1/6*s**5 - 2/3*s**q + 3*s - s**3 - 2/3*s**4. Suppose y(w) = 0. What is w? -1, -2/5 Suppose -141*h**5 + 138*h**5 + 5*h**3 + 2*h + 6*h**4 - 14*h + 4*h**3 - 12*h**2 = 0. Calculate h. -1, 0, 2 Let d = 133 - 65. Factor 3*b - 3*b**3 - 6*b**3 + d*b**2 - 74*b**2. -3*b*(b + 1)*(3*b - 1) Determine f so that 343/9*f**3 + 84*f - 24 - 98*f**2 = 0. 6/7 Let q(x) be the first derivative of x**6/60 + 3*x**5/50 - x**4/40 - 11*x**3/30 - 3*x**2/5 - 2*x/5 - 13. Factor q(c). (c - 2)*(c + 1)**3*(c + 2)/10 Let v(w) = w**2 - 1. Let q(d) = 7*d**2 + d - 8. Let l(p) = q(p) - 6*v(p). Factor l(a). (a - 1)*(a + 2) Let y(s) = 7*s + 79. Let z be y(-11). Solve 5/2*x**5 + 7/2*x**4 - 3/2*x**3 - x - 7/2*x**z + 0 = 0 for x. -1, -2/5, 0, 1 Let o be ((-34)/51)/(7/(-3)). Solve -2/7 + 4/7*s - o*s**2 = 0. 1 Let k(h) = 13*h**5 - 3*h**4 - 24*h**3 + 35*h**2 - 11*h. Let s(j) = -6*j**5 + 2*j**4 + 12*j**3 - 18*j**2 + 6*j. Let n(i) = -2*k(i) - 5*s(i). Factor n(w). 4*w*(w - 1)**3*(w + 2) Let t be (-3)/8*12/(-189). Let p(y) be the second derivative of 1/7*y**3 - 3*y - t*y**4 - 2/7*y**2 + 0. Solve p(h) = 0 for h. 1, 2 Factor -8*c - 3*c - 6*c**2 - 10*c + 24 + 3*c**2. -3*(c - 1)*(c + 8) Let p(g) = -9*g**4 - 17*g**3 - 4*g**2 - 9*g. Let h(s) = -2*s**4 - 4*s**3 - s**2 - 2*s. Let r(l) = -26*h(l) + 6*p(l). Factor r(d). -2*d*(d - 1)**2*(d + 1) Let n = -1/6457 - -1188093/32285. Let p = 37 - n. Factor 3/5*z**4 + 1/5*z**5 + 2/5*z**3 - p - 2/5*z**2 - 3/5*z. (z - 1)*(z + 1)**4/5 Let x = -21 + 23. Let a(r) be the third derivative of 1/168*r**8 + 1/40*r**6 + 0*r + 0*r**3 - 1/24*r**4 - r**x + 1/42*r**7 + 0 - 1/60*r**5. Factor a(k). k*(k + 1)**3*(2*k - 1) Let y(u) be the first derivative of 4 + 3/2*u**2 + u**3 - 3*u - 3/4*u**4. What is b in y(b) = 0? -1, 1 Let k(x) = -57*x**2 - 9*x + 33. Let n(u) = 7*u**2 + u - 4. Let q(y) = -4*k(y) - 33*n(y). Factor q(s). -3*s*(s - 1) Suppose 0 = -4*t + 9*w - 8*w + 1, -1 = 4*t + w. Factor t - p + 1/2*p**2. p*(p - 2)/2 Let d(b) be the first derivative of -7*b**6/180 - b**5/12 + b**4/6 + 4*b**3/3 - 2. Let s(c) be the third derivative of d(c). Determine x so that s(x) = 0. -1, 2/7 Let h(d) = 36*d**4 + 74*d**3 + 24*d**2 + 4*d - 6. Let g(v) = -35*v**4 - 75*v**3 - 23*v**2 - 4*v + 7. Let r(p) = 6*g(p) + 7*h(p). What is f in r(f) = 0? -1, -1/3, -2/7, 0 Let j(s) be the first derivative of -3*s**4/20 - s**3/3 + s**2/5 - 5. Determine r so that j(r) = 0. -2, 0, 1/3 Let x be -2 + -2*(-8 - -2). Suppose 0 = 5*c - 5*f - x, -2*c + 2*f = c - 7. Find o such that 4*o**2 - c*o + 4*o - 2 - 4*o**2 + o**2 = 0. -2, 1 Let n be (-16)/(-21) + (-4 - 25/(-7)). Let g(t) be the first derivative of -t - n*t**3 + t**2 - 2. Factor g(p). -(p - 1)**2 Let s(d) be the third derivative of 1/24*d**3 + 3*d**2 + 0*d + 1/32*d**4 + 1/480*d**6 + 0 + 1/80*d**5. Factor s(n). (n + 1)**3/4 Let r(z) = -z**2 - z + 5. Suppose -10 = 2*w, -5*v + 2*w - 5 = 5*w. Let y(f) = -3*f**2 - 10 + 5*f**v - 4 + 3*f + f. Let m(i) = 8*r(i) + 3*y(i). Factor m(b). -2*(b - 1)**2 Let l(h) be the second derivative of -h**9/60480 - h**8/26880 - h**4/6 - 5*h. Let b(m) be the third derivative of l(m). Factor b(r). -r**3*(r + 1)/4 Let c(r) be the third derivative of -r**5/60 + r**4/24 + r**3/2 + 6*r**2. Let i(o) = -o**2 + o + 5. Let t(f) = -5*c(f) + 3*i(f). What is x in t(x) = 0? 0, 1 Suppose 0 = -6*c + 6 + 6. Suppose 3*w = 2*w + 3*d + 6, -w + d = -2. Factor -2/7*q**5 + 0*q + w*q**c - 4/7*q**4 - 2/7*q**3 + 0. -2*q**3*(q + 1)**2/7 Let s = 0 + 5. Suppose 5*b + 14 = q, -1 = -q - s*b - 7. Find h such that 0*h + 0 - 1/2*h**3 + 1/2*h**2 - 1/2*h**q + 1/2*h**5 = 0. -1, 0, 1 Let a(q) = q**2 - 7. Let d be a(-3). Let t(k) be the first derivative of 0*k**d + 2/15*k**3 - 2/5*k + 2. Factor t(b). 2*(b - 1)*(b + 1)/5 Let a(o) = 5*o. Let j be a(-2). Let v be -8*(1/j + 0). Factor -v*g + 2/5*g**2 + 0. 2*g*(g - 2)/5 Let n(m) = -m + 14. Let k = 24 - 13. Let r be n(k). Factor 3*h**r + h**3 + 5*h**2 - 2*h**3 + 2*h - h**2. 2*h*(h + 1)**2 Suppose 0 = -4*b + 2 + 18. Let f(i) be the first derivative of 3 - 2/5*i**b + 0*i - 2/7*i**3 + 6/7*i**4 - 2/7*i**2. Let f(q) = 0. Calculate q. -2/7, 0, 1 Find w, given that 0 - 2*w + 2/3*w**2 = 0. 0, 3 Let a be -1 - (-2)/2208*-374. Let r = -1/184 - a. Factor 2/3*u**3 + 0 + 2*u**2 + r*u. 2*u*(u + 1)*(u + 2)/3 Factor 4*l - 10*l**2 - 3*l + 3*l - 2*l**4 + 8*l**3 + 0*l. -2*l*(l - 2)*(l - 1)**2 Factor -2/7*l**3 + 0*l**2 - 1/7*l**4 + 2/7*l + 1/7. -(l - 1)*(l + 1)**3/7 Factor -5*f + f**3 + 3*f - 5*f + 3*f. f*(f - 2)*(f + 2) Let a be (-41)/(-9) - 48/(-108). Solve 8/3*p**2 - 2/3*p**a + 4/3*p**3 - 4/3 - 2/3*p - 4/3*p**4 = 0. -2, -1, 1 Let y(l) be the third derivative of -125*l**8/1512 + 5*l**7/189 + l**6/6 - 26*l**5/135 + 2*l**4/27 - 12*l**2. Factor y(x). -2*x*(x + 1)*(5*x - 2)**3/9 Let a be ((-2)/(-6) - 6/(-18))*6. Let z(y) be the first derivative of 2/15*y**3 + a - 4/5*y + 1/5*y**2. Determine v so that z(v) = 0. -2, 1 Let q(t) be the third derivative of 0 + 1/28*t**4 + 2/21*t**3 + 1/210*t**5 + 0*t - 4*t**2. Find z such that q(z) = 0. -2, -1 Let c(v) be the first derivative of v**4/48 + v**3/6 + v**2/2 - 2*v - 2. Let q(i) be the first derivative of c(i). Factor q(h). (h + 2)**2/4 Let t be 2/8 + 7/4. Suppose 0 = 4*v + 5*b - 13, 3*v = -b + 5*b + 2. Determine z so that 2*z**3 + 6*z**2 + 2 + 4*z + 0*z**v + t*z = 0. -1 Let z be 16*((-15)/(-6) + -2). Let c be (2/(-6))/((-12)/z). Find a such that -c*a**2 + 4/9*a - 2/9 = 0. 1 Determine d, given that 1/4*d - 1/2 - 21/4*d**3 + 11/2*d**2 = 0. -2/7, 1/3, 1 Suppose -4 - 2 = -w. Factor 21*d**3 + 15*d - 10*d**2 + 0 - w*d**4 - 17*d**2 -
{ "pile_set_name": "DM Mathematics" }
+ 16*p. Determine j(m). 0 Let m be 10*2/4 + -5. Suppose v + 5*w = -m*v + 18, 0 = -4*v - 3*w + 4. Let z(f) = -f**3 + f**3 - f**2 - f + f**3. Give z(v). -10 Let d(i) = i**3 - 37*i**2 - 22*i - 15. Let s(v) = -19*v**2 - 11*v - 8. Let l(g) = -2*d(g) + 5*s(g). Calculate l(-10). 0 Suppose -3*m = 5*d + 22, 68 = -116*m + 112*m + 3*d. Let w(i) = i**2 + 15*i + 15. Give w(m). 1 Let o(c) = c**2 - 3*c - 3. Suppose -3*r - j + 17 = 0, 0 = 47*j - 45*j - 4. Determine o(r). 7 Let o(t) be the third derivative of t**6/120 + t**5/60 - t**4/24 + 2*t**3/3 - 14*t**2 - 1. Determine o(-2). 2 Let g(k) = k**3 - 11*k**2 + k - 7. Let i be g(11). Let x be (-2 + -8)*(-2)/i. Let m(o) = -o + 3*o - x + 8. Calculate m(-2). -1 Let n(x) be the third derivative of -x**8/6720 - x**7/630 + x**6/80 + 7*x**5/120 - x**4 + 7*x**2. Let t(b) be the second derivative of n(b). Determine t(-6). 25 Let i be 5*((-5)/(-2) + 481/(-74)). Let k(n) = n + 18. What is k(i)? -2 Let c(j) = 23 + 5*j - 12 - 12. Let h be 567/28 + 1/(-4). Let r = h + -18. Give c(r). 9 Let c(l) be the second derivative of 11*l**4/3 - l**3/3 + l**2/2 + 107*l. Calculate c(1). 43 Let t(u) = -u + 2. Let g(m) = m**3 - 7*m**2 + 2*m + 14. Let k be g(6). Let q be 310/50 - (-2)/k*1. Determine t(q). -4 Suppose y = 3*x + 24, -3*x = -7*x - 8. Let s(f) = 3*f - 1 - 10*f**2 - 6*f**3 + y*f**2 - 4*f - 9*f**2. What is s(-1)? 5 Let m(q) be the second derivative of 0 - 1/20*q**5 - 7/6*q**3 + 5/2*q**2 + 5/12*q**4 - q. Let f(x) = x + 1. Let c be f(3). Give m(c). -7 Let u = -22 - -16. Let q(d) = -4*d**2 - 27*d + 23*d + 3*d**2 + 8. Calculate q(u). -4 Suppose -29 = o - 26. Let z be 12/2 + (o - -1). Let b(t) = 0*t + 3*t - 4 - t. Determine b(z). 4 Suppose 9*m + 5*m = 84. Let d(y) = 27*y**2 - 1 + m - 28*y**2. What is d(-5)? -20 Let m(c) = -c**3 - 5*c**2 + 8*c + 3. Let f be 2*(-4)/((-8)/11). Let y(p) = -6*p**3 - 24*p**2 + 41*p + 15. Let n(a) = f*m(a) - 2*y(a). Give n(6). 3 Let b = -6 + 12. Let v(m) = 98 - 6*m - 34 - 63 + m**2. What is v(b)? 1 Let t(p) = 10*p + 128. Let s be t(-13). Let j(q) = -13*q + 1. Determine j(s). 27 Let o = 8 + -13. Let b(y) be the second derivative of -y**5/60 - 5*y**4/24 + y**3/2 + 7*y**2/2 - 11*y. Let r(z) be the first derivative of b(z). What is r(o)? 3 Let b(o) = -8*o**2 - 6*o + 17. Let y(c) = 17*c**2 + 12*c - 36. Let a(v) = -13*b(v) - 6*y(v). Let r be (-28)/6 - (-1)/(-3). Give a(r). 15 Suppose 0 = 5*d - 104 + 39. Suppose -t - d = -15. Let r(j) = -4*j - 2. Calculate r(t). -10 Let p(t) = -5*t - 3. Let d be (-12)/((-36)/(-21)) - -3. Give p(d). 17 Let f(o) = -1. Suppose 3*i - 8*x = -4*x + 41, 3*x = -2*i + 16. Let q(v) = i + 0*v**2 - 3*v + v**2 - 5. Let y(s) = -5*f(s) - q(s). Calculate y(1). 1 Let w be ((-26)/8 - (-144)/192)/(-5). Let k(o) be the second derivative of 0 - 11/12*o**4 - w*o**2 - 4*o + 0*o**3. Give k(-1). -12 Let x(r) = -25*r + 21*r - 21*r - 2. Let p(g) = -12*g - 1. Let d = 12 - 18. Let y(v) = d*x(v) + 13*p(v). Give y(-2). 11 Let r(u) = u**3 - 9*u**2 - u + 3. Let s(f) = f**3 - 11*f**2 - f + 3. Let l(b) = -6*r(b) + 5*s(b). Let h be (0/1)/(5 + -7). Determine l(h). -3 Suppose -2*x - 7 = h - 15, -5*x = -h + 8. Let s(i) = -3*i + 22. Give s(h). -2 Let w(b) be the third derivative of -b**7/1008 + b**6/720 + 11*b**5/60 - 38*b**2. Let z(j) be the third derivative of w(j). Give z(2). -9 Let u = 28 - 4. Let g = 30 - u. Let n(r) = -r**3 + 5*r**2 + 3*r + 8. Give n(g). -10 Suppose -y = -5*y - 24. Let q(x) = x**2 - 1. Let b(m) be the first derivative of -13*m**3/3 + m**2/2 + 6*m - 14. Let h(u) = y*q(u) - b(u). What is h(-1)? 8 Let z(i) = -4*i - 5. Let q(r) = 3*r + 3. Let c(y) = 7*q(y) + 5*z(y). Suppose -13 - 8 = -7*n. Give c(n). -1 Let s(j) = 5*j + 7. Let q(d) = 9*d + 14. Let m(y) = 4*q(y) - 7*s(y). Let f(w) = -8 + 14*w - 11*w + 20. Let l be f(-6). Give m(l). 1 Suppose -29*v + 43*v = 112. Let n(g) be the first derivative of 3*g**2 + v + 1/3*g**3 + 0*g. Give n(-5). -5 Let q(s) be the second derivative of s**4/12 - 3*s**3/2 + 4*s**2 + 92*s. Give q(8). 0 Let i(o) = -o**2 - 5*o. Let h(x) = -x**2 + 11*x + 74. Let j be h(16). Determine i(j). -6 Let q(i) = 308 - 3*i - 302 - i**2 + 6*i - 25*i. Give q(-22). 6 Let g be (7 - 8)/(0 - -1). Let s(j) = 2*j**3 - j**2 + 7. Let n(c) = c**3 - 1. Let d(k) = 6*n(k) + s(k). What is d(g)? -8 Suppose -3*t - 26 = -5*w, -t - w + 18 - 24 = 0. Let g(c) = -c**3 - 8*c**2 - 7*c - 8. Give g(t). -8 Let f = -124 + 141. Suppose -19*p + f*p = 0. Let u(s) = -s**3 - s**2 - s - 4. What is u(p)? -4 Suppose v + 3*v = 12. Let d(i) = i**2 + 4*i**2 - 5*i - 3*i**2 - v*i**2. Calculate d(-4). 4 Let f(k) = -2*k**3 + 2*k + 0*k**3 + k**3 + 6*k**2 - 6. Let t be (27/15)/((-6)/30). Let a = t - -15. Determine f(a). 6 Let j(d) = 10*d**2 + 15*d + d**2 - 7 + d**2 - 2*d**2. Let a(i) = -3*i**2 - 5*i + 2. Let b(y) = -7*a(y) - 2*j(y). Calculate b(-7). 14 Let m(y) = -4*y**3 - 5*y**2 + 19*y - 4. Let b(x) = 3*x**3 + 6*x**2 - 17*x + 4. Let l(i) = 5*b(i) + 4*m(i). Calculate l(9). 4 Let w(u) = 10*u - 153. Let a be w(16). Let z(f) = f**3 - 6*f**2 - 8*f - 10. What is z(a)? -17 Let x = 378 - 388. Let i(y) = y**3 + 11*y**2 + 14*y + 34. Give i(x). -6 Let x = 1 + 7. Let v(r) = x*r**2 - r - r**2 - 3 - 3 - 6*r**2. Calculate v(-5). 24 Let o(j) = j - 2. Let u = 19 + -13. Suppose 4 = u*x + 40. What is o(x)? -8 Let k(v) = -2*v + 2. Let c be k(0). Suppose 4*u = 2*w - 18, c*u - 2*w + 19 = -3*w. Let z(f) = -f - 6. Determine z(u). 1 Let m be (-1)/((-11)/(-6) + -2). Suppose 0 = -5*z + 9 + 21. Let w(n) = -z + 2 + 2*n - 2 + 3. Give w(m). 9 Let d(w) = -w**3 + 7*w**2 - w - 3. Suppose -2*a + 62 = 5*v - 3*a, 0 = -3*v + 5*a + 24. Suppose -v - 1 = -2*j. Give d(j). -10 Let s(l) = -l + 34. Let o(w) = 2*w + 65. Let g(v) = 2*o(v) - 5*s(v). Calculate g(5). 5 Let f(y) = -2*y**2 + 2*y + 3. Let m(q) = 10*q**2 + 2*q - 7. Let i(v) = -v**2 - v. Let n(u) = 6*i(u) + m(u). Let g(a) = 5*f(a) + 2*n(a). What is g(-2)? -11 Let r(i) = -6*i - 2. Let b(p) = -p. Let n(o) = 16*b(o) - 3*r(o). Determine n(-8). -10 Let b(t) = -t + 10. Let i be (432/(-240))/(3/(-20)). Determine b(i). -2 Let l(m) be the second derivative of m**3/6 - 2*m**2 + 67*m. What is l(0)? -4 Let t(x) = -2*x**2 - 36*x - 62. Let i(m) = m**2 + 18*m + 31. Let l(k) = -5*i(k) - 3*t(k). Let h be l(-16). Let b(g) = -7*g**2 - g. Determine b(h). -6 Let j(s) = -3*s - 31. Let z(x) = -3*x**2 + 7*x - 9. Let l be z(0). Determine j(l). -4 Let z(v) = -53*v**2 + 8*v + 7 + 52*v**2 - 9*v. Determine z(5). -23 Let l be ((-6)/4)/((-14)/(840/9)). Let o(u) = -u + 14. Determine o(l). 4 Let f(u) = -10*u + 4*u + 4*u**2 + u**3 + 10*u - 1. Calculate f(-4). -17 Let n be 2/8 + 390/104 - 14. Let f(w) = 2*w + 11. Give f(n). -9 Suppose -6*k - 21 = 39. Let o(x) = -x**3 - 11*x**2 - 11*x - 9. Let s be o(k). Let q(c) = -9*c - 4. Let l(g) = -g - 1. Let y(u) = 5*l(u) - q(u). What is y(s)? 3 Let h(c) = -c**3 + 9*c**2 - 7*c + 7. Let b(k) = -3*k**3 + 26*k**2 - 19*k + 21. Let o(y) = -6*b(y) + 17*h(y). What is o(5)? 18 Let o(z) be the first derivative of -7*z**2/2 - 5*z + 14. Determine o(-5). 30 Suppose 3*h = 3*w + 15, w = -3*w - 5*h - 38. Let q(r) = -46 + 41 + 0*r - r - 2. Calculate q(w). 0 Let x be 15/(-6) - (-1)/(-2). Let p = 0 + x. Let o(w) be the first derivative of -w**2 - w - 39. Calculate o(p). 5 Let k(j) = -5*j + 34. Let i(l) = 4*l**2 - 16*l - 14. Let s be i(5). Calculate k(s). 4 Let w(f) = -f. Suppose 5*u - c + 29 = 0, 3*c = 2*u + 5*c + 14. Calculate w(u). 6 Let a(j) = j**3 - 8*j**2 + 7*j + 2. Let w be a(7). Let x(b) = -3 - 2*b - 6*b + 10*b + b**2. Determine x(w). 5 Let v(x) = 3*x - 6 - 2*x - 3*x + x. Determine v(-5). -1 Let r(q) = 7*q**3 + 12*q**2 + q - 5. Let d(y) = 15*y**3 + 25*y**2 + 3*y - 11. Let w(n) = 6*d(n) - 13*r(n). Let m(p) = p**2 - p - 7. Let h be m(0). What is w(h)? 13 Let o(g) be the third derivative of g**4/24 - 7*g**3/2 - 219*g**2. Give o(7). -14 Let l(j) = -3*j + 15. Let q(y) = -y + 5. Let t(s) = 4*l(s) - 11*q(s). Let i = 216 + -223. Calculate t(i). 12 Let m(f) = f**2 + 16*f + 54. Let h be m(-5). Let l(y) = -16*y**2 + 7*y + 7. Let k(o) = 24*o**2 - 11*o - 11. Let s(d) = 5*k(d) + 8*l(d). Determine s(h). -8 Let o = 1 + -1. Let s(u) be the third derivative of 3/2*u**3 + 1/24*u**4 + 15*u**2 + 0 + 0*u. What is s(o)? 9 Let g = -100 + 155. Let k = g + -60. Let p(l) be the third derivative of l**4/12 + 2*l**2. What is p(k)? -10 Let g(i) = i + 10. Let
{ "pile_set_name": "DM Mathematics" }
lculate 1.1*8904. 9794.4 1 times 24.1543 24.1543 Multiply 231 and -148. -34188 What is the product of -827 and 11.38? -9411.26 -267*-40 10680 Calculate 4*-77179. -308716 0.07 times 443903 31073.21 Work out 3170 * -0.21. -665.7 Calculate 79071*0.036. 2846.556 What is the product of -7 and -0.049333? 0.345331 Product of 757.8 and -8. -6062.4 -0.3 * 5452 -1635.6 4.57 times -987 -4510.59 What is the product of -2 and 23488? -46976 0.1422 * 0.087 0.0123714 -0.87 * 458 -398.46 -19969 * -50 998450 Work out 337 * 145. 48865 -20.8*759 -15787.2 What is the product of 73 and -32300? -2357900 0.2*7910.15 1582.03 Work out 2 * 4.059. 8.118 Work out 53.832 * 0.3. 16.1496 284*-1252 -355568 -0.6*-76.8 46.08 Multiply -3327 and -5. 16635 Product of 100105 and 0.3. 30031.5 Product of -1394 and -21. 29274 9 times -0.141 -1.269 954 * 53.6 51134.4 -93909 times -0.7 65736.3 What is 2.43 times 208? 505.44 Product of -3.5944 and -11.7. 42.05448 What is -2948 times -1.3? 3832.4 -1.2*-45346 54415.2 What is the product of 45.53 and 2.9? 132.037 Multiply -0.45843 and 4. -1.83372 Calculate -1.8282*-0.02. 0.036564 0.4*-4917 -1966.8 Multiply 2.7 and 2081. 5618.7 -22 * 1280 -28160 Product of 2036.4 and 2. 4072.8 Multiply 2655.6 and -0.4. -1062.24 What is -118 times 245.6? -28980.8 -3 * -202939 608817 143005*0.4 57202 Work out 5 * 13765. 68825 Multiply 210174 and 6. 1261044 Work out 259.15 * 0.1. 25.915 What is the product of 3 and -33588? -100764 -5104775*0.3 -1531432.5 What is -381589 times 4? -1526356 Product of 61 and 15.654. 954.894 Calculate -1620152*-4. 6480608 0.6*-0.715 -0.429 -0.1 times -183271 18327.1 -7.89 * 0.234 -1.84626 0.2 * -5280.7 -1056.14 -0.061*0.0686 -0.0041846 What is the product of -0.5 and -46608? 23304 Multiply -1.2311 and 0.14. -0.172354 Product of 31.5499 and 0.5. 15.77495 Calculate -0.2*234712. -46942.4 What is the product of -25.544 and -2? 51.088 Calculate 0.1*-578. -57.8 What is -7 times -2916? 20412 Calculate -12.7795*1.8. -23.0031 -19.409 * -0.069 1.339221 What is the product of 11.603 and 0.1? 1.1603 1275*-350 -446250 8 times 902829 7222632 Multiply -0.40862 and 24. -9.80688 Product of 0.5 and -1992942. -996471 What is 7 times 11.08? 77.56 Product of 0.7 and -253472. -177430.4 Product of 5040552 and 0.2. 1008110.4 19494*-0.5 -9747 Product of 1783284 and 4. 7133136 What is -2.42281 times 0? 0 3*47916 143748 What is the product of -0.5 and -885.3? 442.65 Multiply 405.405 and 0.3. 121.6215 What is -37772 times -0.05? 1888.6 Product of -13693 and -3. 41079 Work out 2.6 * -20.66. -53.716 What is the product of 11730 and 1.1? 12903 Work out -865354 * -3. 2596062 What is the product of 6.1 and 23193? 141477.3 Calculate 162*-190. -30780 0.8654 times 0.4 0.34616 -1.5*8975 -13462.5 Work out 0.126055 * -14. -1.76477 -274 * -1459 399766 What is 0.5 times -0.024091? -0.0120455 -50 * -1442.9 72145 Calculate 910*0.623. 566.93 -4.9522 * -0.3 1.48566 Calculate 58*599. 34742 Multiply 0.01004 and 6. 0.06024 -5233*98 -512834 253 * -17.3 -4376.9 -1 * -7.356 7.356 Product of -9837 and 0.0001. -0.9837 -2 times -2.42545 4.8509 What is 89533.4 times 2? 179066.8 11 times -386.75 -4254.25 Work out -9 * -10986. 98874 Work out -18 * 542.7. -9768.6 Calculate -3206*9.5. -30457 Product of -17.302 and -0.18. 3.11436 Calculate -2*-191.82. 383.64 Work out 0.1426 * 3140. 447.764 Multiply 11.426 and 0.2. 2.2852 -137472*-1.4 192460.8 What is the product of 63927 and 0.4? 25570.8 5 times 2288 11440 Product of 4 and -3.17797. -12.71188 -4*54711 -218844 What is the product of 13 and -0.4559? -5.9267 219280*0.01 2192.8 21*66040 1386840 What is the product of 5 and -9920? -49600 Multiply -55.35 and -7. 387.45 What is -7.68 times 29.8? -228.864 -35631 times -0.5 17815.5 Product of -0.2 and -0.0272. 0.00544 What is the product of -189.738 and 0.5? -94.869 What is the product of 0.0164 and -108? -1.7712 What is 0.061 times 0.096? 0.005856 What is the product of -3.46 and 41.4? -143.244 Calculate -164417*-5. 822085 -0.2 times 0.037714 -0.0075428 Multiply 275.3 and -22.95. -6318.135 What is -1 times -5028? 5028 Calculate 0.077*81. 6.237 18.1469 * -0.3 -5.44407 Calculate -0.145*542. -78.59 What is -0.09 times -3373? 303.57 -1.1 times 2428 -2670.8 What is the product of -9592 and 0.2? -1918.4 -208460 times -5 1042300 430 times -0.02192 -9.4256 -7.41 times -0.1123 0.832143 Work out -429510 * -1. 429510 What is -1003.39 times -12? 12040.68 2134 * 2 4268 0.4*182.26 72.904 5*-0.0054 -0.027 Calculate 127.0495*2. 254.099 Product of -0.1 and 2944. -294.4 9159.66 * -2 -18319.32 1.33 * -0.0091 -0.012103 -0.3 times 334698 -100409.4 What is -8905 times -18? 160290 What is -320701 times 0.1? -32070.1 Product of 16179 and 1.9. 30740.1 What is the product of 126 and -184? -23184 1.99 times 0.69 1.3731 -0.019089*-0.33 0.00629937 Multiply -612 and 87. -53244 -3 * -543991 1631973 -5.65 * -0.13 0.7345 Calculate 1904.99*16. 30479.84 -99.394 * -0.05 4.9697 4301*0.2 860.2 0.42 times 6900 2898 Calculate -22.21*13.3. -295.393 Multiply -4.7 and -1297. 6095.9 Calculate 16*0.33983. 5.43728 What is 5 times 60443? 302215 Multiply -1345 and 2.3. -3093.5 -0.2 times 378874 -75774.8 -11781 times 25 -294525 Product of 9 and 11397. 102573 6.524 times 0.19 1.23956 What is -2.7 times 803? -2168.1 What is -629.81 times -0.5? 314.905 -1847.1 * -8 14776.8 Product of -1.64 and 0.144. -0.23616 0.209156 times -0.3 -0.0627468 -0.09 * -121.752 10.95768 0.5 times -509653 -254826.5 What is -0.0104 times -1717? 17.8568 Calculate -0.1*29369.8. -2936.98 Multiply 663964 and -0.2. -132792.8 8.441*-3 -25.323 Work out -0.02 * -6158.7. 123.174 -184 times -1398 257232 Product of -0.406002 and -2. 0.812004 0 * 1.533 0 -9.92 times -816 8094.72 Product of 1 and 1910. 1910 -275 times -6 1650 Work out 2.99 * -0.12. -0.3588 Work out 0.027 * -28. -0.756 Calculate -11023*-16. 176368 What is the product of 0.1 and 27709? 2770.9 16188 * -2 -32376 What is the product of 9130.3 and -0.4? -3652.12 Work out 42514 * 0.4. 17005.6 What is 1364 times 5.6? 7638.4 What is the product of 4819 and -0.289? -1392.691 89261 * -17 -1517437 Product of -20.2 and 31. -626.2 0.28927 * 0.4 0.115708 Multiply 545 and -8476. -4619420 Product of 658.92 and -5. -3294.6 What is the product of 315074 and 2? 630148 What is -61 times 181? -11041 -3 * -0.16333 0.48999 What is the product of -0.02 and 279031? -5580.62 Work out 327.68 * 0.1. 32.768 What is -1065 times 105? -111825 Multiply -0.411 and -304. 124.944 Product of -925.41 and -0.5. 462.705 What is the product of 42996 and -11? -472956 Calculate 0.4*-0.13521. -0.054084 -5328 times -2 10656 Calculate -0.5*23263. -11631.5 What is the product of 1 and 7523? 7523 9*0.068237 0.614133 -0.95 * 104.5 -99.275 Work out -16553 * 0.08. -1324.24 Product of 185.1 and 96. 17769.6 What is the product of -6571.51 and -0.4? 2628.604 Calculate 11*-0.141. -1.551 -497 times 755 -375235 Product of 3 and -282274. -846822 109 times 12.09 1317.81 What is the product of -3 and -109448? 328344 Product of 1 and 1846.9. 1846.9 Multiply -0.45703 and -0.6. 0.274218 Multiply 1.5 and 76301. 114451.5 Product of 17.76 and -9. -159.84 What is the product of -18.986 and 0.2? -3.7972 -1.04*-70.66 73.4864 What is the product of 7 and 1.373? 9.611 Multiply -0.02649 and 0.3. -0.007947 26238*0.1 2623.8 Product of 0.06 and 0.23788. 0.0142728 Product of -222.032 and -5. 1110.16 What is -0.1 times -7333? 733.3 -0.25399 times -3 0.76197 Calculate -894*-8.1. 7241.4 Work out -15 * -0.102. 1.53 Work out -55715 * -0.07. 3900.05 -71 times -3083 218893 Work out 1.6993 * 0.3. 0.50979 Calculate 0.2*0.0523. 0.01046 4209 * 3.4 14310.6 What is the product of -421 and -1327? 558667 -54 times -1888 101952 Calculate 4137*0.52. 2151.24 -282 * -26 7332 Product of 693.97 and 0.6. 416.382 What is the product of -8 and -16.99? 135.92 What is 0.2 times 0.006802? 0.0013604 What is -515 times 30? -15450 Product of -0.918 and -8. 7.344 11518 times -34 -391612 Work out 0.03 * -246.151. -7.38453 What is -0.5 times 0.5162? -0.2581 0.38272*0.06 0.0229632 0.3 times -32.534 -9.7602 4 times -18403 -73612 Product of -0.025 and -135.4. 3.385 Work out -4 * -4.1828. 16.7312 Work out 2 * -1.2817. -2.5634 1.07*0.1 0.107 797.2 times -4 -3188.8 Work out -134 * 0.07047. -9.44298 23 * -43069 -990587 -417819*1
{ "pile_set_name": "DM Mathematics" }
= 5*u - 17 + d. Solve -2*h + 5*x = -h - 5, 0 = -u*x for h. 5 Let n be 0 - (0 - 26/1). Let w(j) = n*j - 14*j - 2*j**2 - 12*j. Let i be w(0). Solve -2*s - 12 = 2*f, -2*f + 4*s - 2*s = i for f. -3 Let g(n) = -5*n**2 + 5*n - 2. Let h be g(2). Let t(d) = d + 17. Let j be t(h). Let k be 6/(-10)*(-70)/21. Solve -4*r - j*u + 19 = 0, -5*r = k*u - u - 8 for r. 1 Let v(q) = 4*q - 44. Let i be v(13). Suppose 2*a = 2*x + 4 - i, -2*x + 2 = -3*a. Suppose 2 + 0 = c. Solve x*t = 2*h + 8, c*h = h for t. 2 Let k(u) = u**2 - 108*u + 214. Let q be k(106). Solve 2*s = -q*m - 8, 20 = -0*s - 5*s + m for s. -4 Let g = -149 + 120. Let z be 4/18 + (-843)/27. Let t = g - z. Solve -4*a - i = a - 7, -t*a + i = -7 for a. 2 Let u = 331 - 319. Let c = 20 - u. Solve -3*w + 5*z - 23 = 0, 4*z = 2*z + c for w. -1 Let g be (-1 + 2)*(21/7 - 1). Let u(w) = 3*w**2 - w. Let f be u(1). Solve -2*v - 16 = f*y, v - 13 = g*y - 6 for y. -5 Let y(p) = 17*p**3 + p**2 - 2*p + 1. Let m be y(1). Suppose 6*a - 2*a - 2*j + 298 = 0, -5*j = -25. Let o = 87 + a. Solve -t + 3*x = -m, -x - o = t + 4*x for t. 5 Let k = 913 + -903. Let n(m) = -m - 5. Let i be n(-8). Solve 1 + k = 5*w - i*x, -14 = -4*w + 5*x for w. 1 Let b be (0 + -50)*(21/14 + 12 + -14). Solve 110*i - 115*i = -s - b, -s - 21 = -4*i for i. 4 Let d(f) = 7*f**2 + 56*f + 130. Let n be d(-3). Solve 4*w - 20 = 2*r, -5*w - 33*r = -29*r - n for w. 5 Let l = 7 + 15. Let c = 1 + l. Suppose -3*q - q - 3*a + c = 0, -2*q - a = -9. Solve 4*f = -3*z - 3 - 7, z = 4*f + q for z. -2 Let y = -57 - -7. Let r = y - -80. Suppose -9*s + 6*s = -r. Solve -5 - s = w - 5*u, -2*w + 2*u = 14 for w. -5 Let n be -3 + -2 + (3 - (-91)/7). Suppose n - 31 = -10*i. Solve -4*c + 4*z = -z + 2, 0 = 5*c + i*z - 14 for c. 2 Suppose 6 = 2*a, 3*a + 1 = j + 5. Suppose -j*h = 7*h - 36. Solve o = h*l - 10, 4*l + 0 = -3*o + 9 for o. -1 Suppose -46 + 11 = -20*n + 5. Solve 2*m - 6 = -0*o + n*o, -3*m - 16 = 2*o for o. -5 Suppose -56*d = 51*d + 37*d. Solve o + 3*c - 4 = d, -46*c - 5 = -o - 50*c for o. 1 Let r(w) = -2*w**2 + 38*w - 47. Let f be r(17). Let z be -8 - (-154)/f - 17/(-3). Solve z*d + 3*a = a + 20, -d = -3*a - 4 for d. 4 Let g be -4 + 4 + 4 + -1. Suppose 59 - 279 = -44*p. Solve g*y = -p*o + 7, -2 = -5*o - 7 for y. 4 Let l(u) = u**2 - 2*u - 12. Let m = -233 - -238. Let c be l(m). Solve -4*t + 5*x = -18, -3*t + x + 5 = -c for t. 2 Suppose -55*i + 84*i + 441 = 50*i. Solve 5*f + 18 = -2*g, -3*f + 5*g = -35 + i for f. -2 Let k(b) = b**3 - 42*b**2 + 84*b - 110. Let s be k(40). Solve 0 = -5*l + 3*d, 4*l - s*d = -46*d for l. 0 Suppose -2*l + 5 = 25. Let y(w) be the third derivative of w**4/24 + 5*w**3/3 - 633*w**2. Let r be y(l). Solve 3*j = -r*v - 4*v + 8, -j = -4*v + 8 for j. 0 Let d(c) = -44*c - 1. Let n be d(-1). Suppose 0 = -8*s + n + 205. Suppose -5*y + s + 39 = 0. Solve 3*k + 14 = 2*k + 3*a, -3*k = -2*a + y for k. -2 Let g be 53 + 36/(-18) - 3. Solve n + 3*n - g = 4*p, -10 = -5*n - 5*p for n. 7 Suppose 4*j + 5 = -7. Let l be ((-27)/6)/(j/2). Let v be -5 + 4 - 2 - -3. Solve v = 5*d - 3*d - 5*b - 7, -d - 4*b - l = 0 for d. 1 Let r be ((-44631)/(-304))/29 + 1/(-16). Solve r = 2*d - 3*q - 2, -4*q = -d + 1 for d. 5 Suppose -935*a + 909*a + 286 = 0. Solve -o = 5*j + 7, -12 = 3*j - o - a for j. -1 Let s(g) = -g**3 + 6*g**2 + 11*g - 7. Let d be s(7). Suppose 9*x - 294 = d. Let v = x + -31. Solve 3*u = 4*a + 20, 3*u + 15 = -3*a + v*u for a. -5 Suppose 100*r = 88*r + 60. Solve -r*u = 2*y - 4 - 11, -5*y + 4*u = -21 for y. 5 Let a = 4998 - 4960. Solve -4*m - 4*w = 16, 5*m + 33*w = a*w + 30 for m. 1 Let f be (-1 + (-2)/4)*(-1320)/180. Suppose f - 50 = -13*h. Solve u = 2, -h*m + u = -8*m + 27 for m. 5 Suppose 14*z = 15*z - 5*a + 2, -2 = -2*a. Solve z*l - 6 = 3*k + 3, 4*l + 4*k = 28 for l. 5 Let b(c) = 3*c**2 + 90*c + 92. Let s be b(-29). Solve -4*x + 8 = -s*u - 3, -2*x = -4*u - 10 for u. -3 Let z(k) = -89*k**2 + 7*k + 6. Let i be z(-1). Let h = -87 - i. Solve -2 = 2*f + 4*x, h*f + 2*f = -4*x - 11 for f. -3 Let f(i) = -34*i + 1226. Let m be f(36). Solve 0 = -2*r - m*o + 10, -4*o - 23 + 47 = 5*r for r. 4 Suppose u = i - 3, 3 = -3*u - 9*i + 10*i. Solve 0 = 4*a - u*v + v - 22, 5*v = 10 for a. 5 Let j be (5/6)/(2/(10 - -2)). Suppose j*x + 8*z - 5 = 3*z, -3*z = 12. Solve -3*l = 5*q + 7, -3 = 3*l + x*q - 2*q for l. 1 Let y be 3 + 79 + (-1 - 3). Let u = y + -78. Solve 3*d = -4*q + 2*q - 4, u = 5*q + d + 10 for q. -2 Suppose -6*o + 1 = 1. Let s be (-20)/(-10)*(-1 + o). Let h be -4 - (-21)/(5 + s). Solve 4*j - 7 = -3*v - 22, h*j = -2*v - 11 for j. -3 Let t be ((-90)/(-375)*-5)/((-4)/10). Solve 0 = -5*m - 4*z - z - 15, -z = -4*m + t for m. 0 Let n be 2/(-6)*(-20 + 20). Solve n = -4*u, -2*u - 13 = 3*v - 4 for v. -3 Suppose -104 = -4*x - 8. Let q be (-138)/((-66)/x + (-3)/(-4)). Suppose 0 = 5*l + q - 74. Solve 3*i + 4*y - 6 = 0, 5*i + 2*y + y + l = 0 for i. -2 Let k be 6/(-9) - (-232)/(-12). Let d = -16 - k. Suppose -317 = 26*m - 369. Solve 0 = -d*v, 2*f + 3*v = m - 8 for f. -3 Let k be 20/15 - 6543/27. Let c = k + 243. Solve 0*u + 5*u - 31 = c*y, u = 5 for y. -3 Let t(c) = -13*c - 12. Let y be t(5). Let j = -72 - y. Solve -3*w - 10 = -j*x, 3*w = 2*w - 4*x - 9 for w. -5 Suppose 3*j + 0*j - 6 = 0. Let h(p) = -p**2 + 16*p - 59. Let u be h(7). Let n(o) = -2*o + 13. Let q be n(-7). Solve 3*t - u*r - q = -r, -13 = -j*t + r for t. 4 Let h(f) = -f + 12. Let w be h(-9). Suppose 23*p - w*p = 10. Suppose -4 = -4*v, -2*a + p*v = v. Solve -s + a*o = -2*o + 17, -25 = -5*o for s. 3 Suppose 7*m - 157 = 1152. Let r = m + -184. Solve r*y + 5*c = 8*y, 8 = 4*y - 2*c for y. 4 Suppose -2*l - 387*v = -386*v - 53, 15 = 3*v. Solve 0 = -3*q + 5*o + 8, 22*o - 24 = 4*q + l*o for q. -4 Suppose 60 + 276 = 28*b. Suppose 74 - b = 31*x. Solve k - 2*k = 4*y - 10, 0 = -x*y + 2*k + 10 for y. 3 Let y be -1 + (0 - -4) - 1. Let t be (14/49)/((-3)/42). Let j be ((-16)/14)/t + 36/21. Solve -5 = -5*a + 3*x + 2*x, -j*a - y = -3*x for a. 5 Suppose 0 = 145*q + 5 - 343 - 97. Solve 0 = q*x - y - 12, -2*y - 2 = 4*x - 8 for x. 3 Let j be 3 + -2 + 41 + -40. Solve -3*z = -39*i + 42*i - 3, -z + 13 = -j*i for i. -4 Let p(n) = n**3 + 12*n**2 - 12*n + 14. Let l(d) = 15*d + 47. Let t be l(-4). Let u be p(t). Solve 0*g + 5*m = g - 20, -u = -2*g - 3*m for g. 5 Suppose -26*g + 181 = 30*g - 1723. Solve 5*u + 3*o - 20 = 3*u, -3*o = 4*u - g for u. 7 Suppose -3*i + 2*p = -15, 3*i - p - 142 + 127 = 0. Solve i*z = 0, -f + 0*f + z + 2 = 0 for f. 2 Suppose 694 = 310*u - 1184 - 912. Solve u*t = 4*t + 5*h, 0 = 5*t + h - 30 for t. 5 Suppose 280 = u + 3*u. Let n be (-5 - -9)/((12/93)/(-2)). Let t = n + u. Solve -15 = -v - 4*a, t = -2*v + 3*a - 6 for v. -1 Suppose 950*w + 125 = 975*w. Solve -q - w = n, -5*n + 10*q - 6*q = -20 for n. 0 Suppose -5*x + 5 = 5*y - 0*y, -3*y + x = -15. Suppose -20*m = -24*m + 8. Suppose -3*p + 19 + 3 = o, o + m*p = 22. Solve 4*s - s = 9, y*s = 2*c + o for c. -5 Let j(v) = 17*v**2 + 2*v - 1. Let a be j(1). Suppose -19*c = -a*c. Let b = 725 + -722. Solve -u - 14 = -s - b*s, -2*u + s = c for u. 2 Let c(b) = -b + 7. Let k be c(6). Let p be (k - 4)*(34 + -35). Solve 0 = 4*a + 8, h + p*a = 3*h for h. -3 Let h(i) = -1684 + 1609 + 9*i + 0*i. Let x be h(9). Solve z - 2*g + 17 = -x*g, -3*z = g - 4 for z. 3 Suppose 50 = 2*n + 50. Suppose -5*j = 3*t - 17 - 10, 2*j - 6 = n. Let h = 16 - 2. Solve i = 4*f + 6*i - h, 5*f = t*i - 3 for f. 1 Let w(k) = 214*k**3 + 2*k**2 - k - 1. Let c be w(1). Suppose 0 = o + 210 - c. Solve -3*f - o*g - 5 = 0, g = -2*f + 2*g + 4 for f. 1 Suppose 0 = -2*c + 5*c, s + 71 = -2*c. Let v = s - -70. Let g be (5 + v)*60/80. Solve 4*m + 1 = 5*r, 3 = g*r + 3*m - 3 for r. 1 Let i(m) = m**2 - 5*m - 19. Let n be i(-3). Suppose 0 = 127*h - 129*h + 4. Solve -2*g = n*t - 2 + 13, h*g + 6 = 0 for t. -1 Suppose 3*q - 6 = 0, 3*f - 5*q - 79 = 55. Suppose 49*z + 2 = f*z - 2*p, 0 = -5*p - 15. Let g = 7 - 5. Solve -12 = -z*v + g*m, 0*m = 5*v - m - 9 for v. 1 Let o(k) = -k**2 - 15*k - 19. Suppose 2*m + 3*m = -45. Let g be o(m). Let b be (-26)/(-8) - 5/20. Solve g = b*w - 6*v + v, 2*w - 2*v = 18 for w. 5 Suppose -20*v + 14*v = 34*v - 120. Solve 7*i - v*i - 4 = -3*r, 5*r = -5*i + 10 for i. -2 Let v = -618 + 413. Let w = v - -210. Let o be -2 - 1/((-2)/84). Solve 10*p - w*p - o = -3*a, 0 = 4*p - 4*a for p. 5 Let k = -871 - -875. Suppose 4*c = 3*h, -2*h
{ "pile_set_name": "DM Mathematics" }
rm of 50, -8, -106, -244? -20*p**2 + 2*p + 68 What is the g'th term of 108, 217, 324, 429, 532? -g**2 + 112*g - 3 What is the l'th term of -233, -466, -699, -932, -1165, -1398? -233*l What is the l'th term of 48, 189, 424, 753? 47*l**2 + 1 What is the w'th term of -82, -170, -260, -352, -446? -w**2 - 85*w + 4 What is the j'th term of 293, 285, 283, 293, 321? j**3 - 3*j**2 - 6*j + 301 What is the l'th term of 15, 40, 81, 138, 211, 300? 8*l**2 + l + 6 What is the o'th term of -74, -131, -184, -233? 2*o**2 - 63*o - 13 What is the w'th term of 1674, 1678, 1692, 1722, 1774? w**3 - w**2 + 1674 What is the o'th term of -292, -624, -958, -1294, -1632, -1972? -o**2 - 329*o + 38 What is the z'th term of 8, 23, 48, 83? 5*z**2 + 3 What is the n'th term of -1477, -1456, -1419, -1360, -1273, -1152, -991, -784? n**3 + 2*n**2 + 8*n - 1488 What is the l'th term of 53, 190, 411, 716, 1105, 1578? 42*l**2 + 11*l What is the v'th term of 229, 225, 217, 205, 189? -2*v**2 + 2*v + 229 What is the j'th term of -8, 2, 14, 28, 44? j**2 + 7*j - 16 What is the m'th term of -11, -6, 11, 46, 105, 194, 319? m**3 - 2*m - 10 What is the n'th term of 22, 33, 52, 79? 4*n**2 - n + 19 What is the c'th term of 64, 60, 56, 52, 48? -4*c + 68 What is the y'th term of -464, -473, -494, -533, -596, -689? -y**3 - 2*y - 461 What is the c'th term of -984, -3935, -8854, -15741, -24596, -35419? -984*c**2 + c - 1 What is the w'th term of 11, 28, 45, 62? 17*w - 6 What is the x'th term of 17, 28, 37, 44? -x**2 + 14*x + 4 What is the j'th term of -313, -305, -283, -241, -173? j**3 + j**2 - 2*j - 313 What is the b'th term of -32, -121, -270, -479? -30*b**2 + b - 3 What is the g'th term of 9, 162, 593, 1440, 2841? 23*g**3 + g**2 - 11*g - 4 What is the s'th term of -16, -26, -42, -64, -92, -126? -3*s**2 - s - 12 What is the z'th term of 18, 33, 36, 21, -18, -87, -192? -z**3 + 22*z - 3 What is the y'th term of 416, 833, 1250? 417*y - 1 What is the g'th term of 2698, 2701, 2696, 2677, 2638, 2573? -g**3 + 2*g**2 + 4*g + 2693 What is the l'th term of -145, -89, 63, 359, 847? 8*l**3 - 153 What is the p'th term of 13, 23, 33? 10*p + 3 What is the q'th term of -273, -274, -275? -q - 272 What is the j'th term of 15, 29, 45, 63, 83? j**2 + 11*j + 3 What is the w'th term of -85, -73, -59, -43, -25, -5, 17? w**2 + 9*w - 95 What is the w'th term of -36, -41, -46, -51? -5*w - 31 What is the f'th term of 458, 457, 456, 455? -f + 459 What is the r'th term of 7092, 14184, 21276, 28368, 35460? 7092*r What is the c'th term of -27, -43, -47, -33, 5, 73, 177? c**3 - 23*c - 5 What is the a'th term of -503, -509, -527, -563, -623, -713? -a**3 + a - 503 What is the v'th term of -582, -1164, -1746, -2328, -2910? -582*v What is the o'th term of -1, -6, -17, -34? -3*o**2 + 4*o - 2 What is the c'th term of 142, 589, 1334, 2377, 3718? 149*c**2 - 7 What is the p'th term of -1828, -1831, -1836, -1843, -1852, -1863, -1876? -p**2 - 1827 What is the b'th term of 248, 250, 252? 2*b + 246 What is the b'th term of -37, -24, -11? 13*b - 50 What is the d'th term of -399, -409, -419, -429, -439? -10*d - 389 What is the g'th term of -99631, -99630, -99629, -99628, -99627, -99626? g - 99632 What is the b'th term of 196, 393, 590, 787, 984? 197*b - 1 What is the l'th term of 11, 43, 125, 281, 535? 4*l**3 + l**2 + l + 5 What is the h'th term of 77, 94, 127, 182, 265, 382, 539? h**3 + 2*h**2 + 4*h + 70 What is the i'th term of 188, 200, 228, 278, 356, 468? i**3 + 2*i**2 - i + 186 What is the f'th term of 37, 65, 93, 121, 149? 28*f + 9 What is the f'th term of -336, -665, -982, -1281, -1556, -1801, -2010? f**3 - 336*f - 1 What is the b'th term of 50, 122, 222, 344, 482, 630? -b**3 + 20*b**2 + 19*b + 12 What is the t'th term of 250, 491, 732? 241*t + 9 What is the i'th term of 52, 54, 56? 2*i + 50 What is the r'th term of -20, -25, -14, 19, 80, 175, 310? r**3 + 2*r**2 - 18*r - 5 What is the y'th term of 79, 93, 107, 121? 14*y + 65 What is the t'th term of 80, 307, 686, 1217, 1900, 2735? 76*t**2 - t + 5 What is the i'th term of -57, -113, -169, -225, -281, -337? -56*i - 1 What is the l'th term of -7, -45, -97, -169, -267, -397? -l**3 - l**2 - 28*l + 23 What is the f'th term of -533, -532, -531, -530, -529? f - 534 What is the c'th term of -105, -203, -299, -393, -485, -575, -663? c**2 - 101*c - 5 What is the p'th term of -27, -71, -143, -243, -371, -527? -14*p**2 - 2*p - 11 What is the g'th term of 56, 147, 238, 329, 420? 91*g - 35 What is the q'th term of -28, -131, -316, -595, -980, -1483, -2116, -2891? -2*q**3 - 29*q**2 - 2*q + 5 What is the v'th term of -7, -56, -173, -394, -755, -1292? -6*v**3 + 2*v**2 - 13*v + 10 What is the r'th term of 269, 542, 815, 1088, 1361? 273*r - 4 What is the p'th term of -750, -1514, -2292, -3090, -3914, -4770? -p**3 - p**2 - 754*p + 6 What is the t'th term of 22, 54, 136, 292, 546, 922, 1444? 4*t**3 + t**2 + t + 16 What is the d'th term of -9952, -9951, -9952, -9955, -9960? -d**2 + 4*d - 9955 What is the v'th term of 230, 232, 236, 242, 250? v**2 - v + 230 What is the l'th term of 889, 895, 903, 913? l**2 + 3*l + 885 What is the x'th term of 38808, 38809, 38810, 38811, 38812, 38813? x + 38807 What is the p'th term of -237, -472, -709, -948, -1189? -p**2 - 232*p - 4 What is the x'th term of -492, -984, -1476, -1968? -492*x What is the x'th term of 666, 1339, 2016, 2697, 3382? 2*x**2 + 667*x - 3 What is the a'th term of -38, -37, -36? a - 39 What is the i'th term of -512, -1021, -1530, -2039, -2548? -509*i - 3 What is the k'th term of 33, 58, 119, 234, 421, 698, 1083? 3*k**3 + 4*k + 26 What is the l'th term of -153, -602, -1343, -2370, -3677, -5258, -7107? l**3 - 152*l**2 - 2 What is the j'th term of -554, -577, -612, -665, -742, -849, -992, -1177? -j**3 - 16*j - 537 What is the l'th term of 105, 205, 305, 405, 505? 100*l + 5 What is the c'th term of 14, 27, 54, 101, 174, 279? c**3 + c**2 + 3*c + 9 What is the n'th term of -48, -89, -126, -159, -188, -213, -234? 2*n**2 - 47*n - 3 What is the c'th term of 31, 42, 49, 52, 51, 46? -2*c**2 + 17*c + 16 What is the u'th term of -15, -34, -65, -108, -163? -6*u**2 - u - 8 What is the p'th term of 21, 33, 55, 87, 129, 181, 243? 5*p**2 - 3*p + 19 What is the s'th term of -37, -55, -95, -169, -289, -467, -715? -2*s**3 + s**2 - 7*s - 29 What is the n'th term of 5, 9, 37, 101, 213? 2*n**3 - 10*n + 13 What is the v'th term of -4, 28, 92, 200, 364, 596? 2*v**3 + 4*v**2 + 6*v - 16 What is the a'th term of -45, -101, -135, -135, -89, 15? 2*a**3 - a**2 - 67*a + 21 What is the y'th term of 270, 261, 246, 225, 198? -3*y**2 + 273 What is the m'th term of 212, 222, 236, 254? 2*m**2 + 4*m + 206 What is the q'th term of 1741, 1740, 1737, 1732? -q**2 + 2*q + 1740 What is the y'th term of 133, 100, 25, -110, -323? -3*y**3 - 3*y**2 - 3*y + 142 What is the m'th term of 194, 413, 630, 845, 1058, 1269? -m**2 + 222*m - 27 What is the u'th term of 967, 1936, 2903, 3868, 4831, 5792, 6751? -u**2 + 972*u - 4 What is the l'th term of 22, -16, -70, -134, -202, -268? l**3 - 14*l**2 - 3*l + 38 What is the t'th term of -7581, -7576, -7559, -7524, -7465, -7376? t**3 - 2*t - 7580 What is the n'th term of 383, 379, 373, 365, 355, 343, 329? -n**2 - n + 385 What is the d'th term of -59, -60, -61, -62, -63? -d - 58 What is the a'th term of -53, -84, -131, -188, -249, -308? a**3 - 14*a**2 + 4*a - 44 What is the f'th term of -9, -44, -103, -186, -293, -424, -579? -12*f**2 + f + 2 What is the q'th term of -18, 30, 154, 390, 774, 1342, 2130, 3174? 6*q**3 + 2*q**2 - 26 What is the h'th term of 625, 648, 671? 23*h + 602 What is the u'th term of -98, -178, -260, -344, -430, -518, -608? -u**2 - 77*u - 20 What is the u'th term of -8, -14, -24, -38, -56, -78, -104? -2*u**2 - 6 What is the w'th term of -17, -83, -193, -347? -22*w**2 + 5 What is the n'th term of 18, 41, 70, 105, 146, 193, 246? 3*n**2 + 14*n + 1 What is the i'th term of -304, -304, -312, -334, -376, -444, -544, -682? -i**3 + 2*i**2 + i - 306 What is the i'th term of 12, 32, 80, 168, 308? 2*i**3 + 2*i**2 + 8 What is the p'th term of 6, 13, 24, 39, 58, 81? 2*p**2 + p + 3 What is the f'th term of 124, 236, 348? 112*f + 12 What is the x'th term of -67, -160, -253, -346? -93*x + 26 What is the l'th term of 25, 76, 155, 262, 397, 560? 14*l**2 + 9*l + 2 W
{ "pile_set_name": "DM Mathematics" }
lse Is 556 a factor of 217952? True Is 419342 a multiple of 241? False Is 18 a factor of 942181? False Is 120175 a multiple of 3? False Is 25 a factor of 943099? False Is 73222 a multiple of 31? True Does 22 divide 281388? False Does 13 divide 4249856? True Does 152 divide 281224? False Is 239439 a multiple of 13? False Is 99 a factor of 228591? True Does 130 divide 584789? False Is 29268 a multiple of 27? True Is 16319476 a multiple of 604? True Does 107 divide 6435771? False Does 62 divide 1674? True Is 1513818 a multiple of 333? True Does 63 divide 850374? True Is 1802 a factor of 12286036? True Is 124 a factor of 724160? True Is 2239692 a multiple of 1092? True Does 30 divide 60? True Is 691 a factor of 4843910? True Does 116 divide 3803408? True Is 22512 a multiple of 8? True Is 35 a factor of 177695? True Is 4141599 a multiple of 17? False Is 19 a factor of 1064703? True Is 8420608 a multiple of 592? True Is 705610 a multiple of 11? False Is 4330260 a multiple of 198? True Is 4869718 a multiple of 17? True Is 3290771 a multiple of 23? True Is 4600 a multiple of 5? True Is 64 a factor of 4189716? False Is 2 a factor of 28952? True Is 84185 a multiple of 8? False Is 523572 a multiple of 966? True Is 2923834 a multiple of 38? True Is 30 a factor of 17572971? False Does 400 divide 5501446? False Does 15 divide 2820? True Does 9 divide 1332? True Is 174192 a multiple of 19? True Is 15 a factor of 1358370? True Does 184 divide 559756? False Does 180 divide 1755? False Does 84 divide 565236? True Is 16454118 a multiple of 31? True Is 10851918 a multiple of 83? True Is 170516 a multiple of 4? True Does 21 divide 529641? True Does 141 divide 6967515? True Does 33 divide 829519? False Is 258 a factor of 205151? False Does 3 divide 2077? False Is 62 a factor of 514380? False Is 8 a factor of 182422? False Does 24 divide 681648? True Does 37 divide 341103? True Does 120 divide 3308640? True Is 16 a factor of 168028? False Is 571 a factor of 559113? False Does 9 divide 4780683? True Is 968 a factor of 11235867? False Is 8 a factor of 64046? False Is 6161649 a multiple of 372? False Is 126090 a multiple of 18? True Is 669370 a multiple of 95? True Does 25 divide 220750? True Is 45584 a multiple of 296? True Is 109 a factor of 445701? True Is 67114 a multiple of 4? False Is 21 a factor of 287679? True Does 54 divide 170532? True Does 8 divide 49747? False Is 2578721 a multiple of 26? False Does 882 divide 2057541? False Is 16 a factor of 182096? True Is 14 a factor of 55594? True Is 2618196 even? True Is 362211 a multiple of 82? False Is 2494008 a multiple of 8? True Does 32 divide 96512? True Is 97 a factor of 77988? True Does 18 divide 4829958? True Is 5527 a multiple of 23? False Is 5357184 a multiple of 158? False Is 1202 a factor of 6939878? False Is 113025 a multiple of 25? True Is 250 a factor of 173513? False Does 12 divide 522801? False Is 2187350 a multiple of 410? True Is 358440 a multiple of 174? True Is 168998 a multiple of 2? True Does 14 divide 378071? False Does 71 divide 267482? False Is 16 a factor of 2506478? False Is 13 a factor of 2212336? False Does 135 divide 1610713? False Is 1020992 a multiple of 56? True Is 787790 a multiple of 29? False Is 69760 a multiple of 13? False Is 646531 a multiple of 30? False Is 6 a factor of 47367? False Is 11784119 a multiple of 28? False Is 34 a factor of 199988? True Is 723 a factor of 3617892? True Is 4583169 a multiple of 729? False Does 44 divide 937992? True Is 20 a factor of 1834520? True Is 32977 a multiple of 78? False Is 770072 a multiple of 12? False Does 132 divide 1935452? False Does 20 divide 3522948? False Is 280014 a multiple of 354? True Is 24 a factor of 800712? True Is 75 a factor of 249600? True Does 83 divide 93882? False Is 916 a factor of 3766020? False Is 54137 a multiple of 115? False Is 18424 a multiple of 8? True Does 549 divide 20324785? False Is 206 a factor of 1781076? True Is 11772762 a multiple of 6? True Does 10 divide 1536930? True Does 145 divide 740660? True Is 184 a factor of 6716631? False Is 4 a factor of 147874? False Does 223 divide 1194291? False Does 181 divide 331525? False Does 7 divide 415338? True Is 91993 a multiple of 11? True Is 3 a factor of 380070? True Is 10 a factor of 26702? False Is 377 a factor of 303119? False Is 1812186 a multiple of 9? True Is 103 a factor of 201885? False Is 271281 a multiple of 21? False Is 1495851 a multiple of 437? True Does 11 divide 507245? False Is 5113242 a multiple of 342? True Is 76304 a multiple of 1004? True Is 59 a factor of 95226? True Does 25 divide 55374? False Is 764059 a multiple of 119? False Is 1023243 a multiple of 17? False Is 98 a factor of 192962? True Is 14 a factor of 26778? False Does 15 divide 323821? False Is 7398010 a multiple of 882? False Does 27 divide 356346? True Is 52393 a multiple of 4? False Is 51231 even? False Does 46 divide 490452? True Is 348450 a multiple of 30? True Is 269588 a multiple of 8? False Does 11 divide 267058? True Is 5 a factor of 138560? True Does 6 divide 110844? True Is 94 a factor of 129243? False Does 15 divide 298125? True Is 2824908 a multiple of 8? False Does 4 divide 15185? False Is 243325 a multiple of 31? False Is 216 a factor of 580646? False Does 95 divide 811165? False Is 42 a factor of 449568? True Is 13 a factor of 20865? True Is 11359561 a multiple of 12? False Is 284544 a multiple of 192? True Does 7 divide 11966619? True Does 73 divide 13439397? False Is 4 a factor of 195252? True Is 97 a factor of 68466? False Does 338 divide 7163910? True Is 17 a factor of 410592? False Does 99 divide 386793? True Does 282 divide 593328? True Does 37 divide 473355? False Is 3 a factor of 5729439? True Is 1723898 a multiple of 11? True Does 73 divide 118917? True Is 4896 a multiple of 90? False Does 8 divide 130755? False Is 1465422 a multiple of 246? True Does 238 divide 4885902? True Is 39 a factor of 335400? True Is 1934633 a multiple of 20? False Is 6651630 a multiple of 30? True Is 37 a factor of 405594? True Is 27 a factor of 257600? False Is 27983 a multiple of 2? False Is 102 a factor of 84205? False Is 25 a factor of 102761? False Does 11 divide 111474? True Is 4553173 a multiple of 1292? False Is 48 a factor of 12120321? False Is 5667018 a multiple of 123? False Does 228 divide 31692? True Does 485 divide 1891635? False Is 636 a factor of 2244609? False Does 23 divide 1642269? True Is 91 a factor of 37674? True Is 69 a factor of 6900? True Does 142 divide 487486? True Is 289397 a multiple of 134? False Is 201 a factor of 1037761? False Is 68 a factor of 11072576? True Is 364 a factor of 8255156? True Is 21 a factor of 46011? True Is 5270895 a multiple of 2? False Is 1139673 a multiple of 69? True Does 51 divide 2127111? False Is 310 a factor of 180730? True Is 62424 a multiple of 102? True Is 239 a factor of 250950? True Does 3 divide 8856? True Is 1416 a multiple of 561? False Does 148 divide 77292? False Is 218277 a multiple of 5? False Is 918 a factor of 1282446? True Does 4 divide 4138084? True Is 4762295 a multiple of 5? True Does 42 divide 83579? False Is 325273 a multiple of 17? False Is 70 a factor of 8187530? False Is 900433 a multiple of 96? False Does 89 divide 3424720? True Is 1137 a factor of 2307818? False Is 15 a factor of 83492? False Does 30 divide 5400796? False Is 5460 a multiple of 6? True Does 7 divide 3088618? False Is 5526038 a multiple of 747? False Is 28 a factor of 720689? False Does 47 divide 582902? False Is 26 a factor of 1150822? False Is 6157722 a multiple of 18? False Is 1339774 a multiple of 69? False Is 22840 a multiple of 5? True Is 35 a factor of 82240? False Does 49 divide 14602? True Is 6480488 a multiple of 27? False Does 10 divide 253766? False Is 307572 a multiple of 228? True Does 16 divide 185984? True Does 202 divide 84436? True Does 24 divide 21610? False Is 10787392 a multiple of 616? True Does 19 divide 921386? True Is 26 a factor of 5851? False Is 296 a factor of 1024873? False Does 14 divide 546000? True Is 45 a factor of 68895? True Is 258438 a multiple of 127? False Is 691685 a multiple of 16? False Does 15 divide 1029900? True Is 130560 a multiple of 20? True Is 370696 a multiple of 183? False Is 5
{ "pile_set_name": "DM Mathematics" }
et j be (-144)/(-70) + 1 + -3. Does j = p? False Let o(g) = -2*g - 22. Let a be o(-11). Which is greater: a or 8/9? 8/9 Let s be 0 - -4*4/(-24). Which is bigger: 1/24 or s? 1/24 Suppose -9*s = -s. Suppose 0 = -n - n + 20. Suppose -2*b - 3*b - n = s. Which is greater: -1 or b? -1 Let t be 42/(6/3) - 2. Let w be -2 - (-4*t)/2. Let l be w/10 - (-4)/10. Are 4 and l equal? True Let i be ((-8)/6)/((-1)/3). Let f = -93 - -99. Which is greater: i or f? f Let p = -13 - -15. Is 0.05 at most as big as p? True Let i(n) = -2*n + 12. Let r be i(5). Which is smaller: r or 5/4? 5/4 Let c(x) = 17 - 11*x**2 - 15 - x**3 + 4*x**2. Let j be c(-7). Are j and 5/4 non-equal? True Suppose 10 = -5*f, 9 - 29 = t + 5*f. Let y = 9 + t. Let l be (-3 - (2 - 2))/1. Which is smaller: l or y? l Let k = -9597/19 + 505. Let h be (-1)/((-1)/(-2)) - -1. Is k less than h? False Let h = -3100/10639 + -22927579/11170950. Let o = h - -33/14. Let u = o - -44/75. Which is smaller: 1 or u? u Suppose -4*v + 5*z + 9 - 2 = 0, v - 4*z = -1. Let l = 2 - 6. Let f = v + l. Which is smaller: 1/9 or f? f Let b = 1/14 + 19/28. Let w = 1 + -1. Which is greater: b or w? b Suppose 7*v = 5*v. Is -2/9 < v? True Let h(c) = 2*c + 6. Let v be h(-4). Let t = -1 - v. Suppose -a - 2 = w - 4, -4*a = -5*w + 1. Is w bigger than t? False Suppose 0 = 3*p - 42 + 3. Let y(v) = -v**2 + 14*v - 10. Let a be y(p). Which is bigger: 0 or a? a Suppose -3*s - 2*s - 130 = 0. Let m = 27 + s. Is -0.3 <= m? True Let l = 1/15 + -17/30. Let c = 2.9 + -3. Let z = c - -0.1. Which is greater: l or z? z Let v = 11/39 - -1/39. Is -1 at least as big as v? False Let t be (263/2)/(0 - -15). Let l = t + -49/6. Suppose 10*g = 14*g. Which is bigger: g or l? l Let y = 1 - -1. Suppose -4*h + 28 = -3*k, -k = -2 + 6. Suppose -y*v - 2*v = h. Are 0 and v unequal? True Let a be (-2)/(-6) - (-5)/3. Let x = a + 1. Suppose -2*b + 4 = j - 0*b, 5*j - 4*b - 20 = 0. Which is smaller: x or j? x Let n = 25/6 + -127/30. Is -1 < n? True Let k be ((-1)/(-3))/(1/(-3)). Let w be (1 + k)/(2 - 0). Which is bigger: 1 or w? 1 Let o(b) = -4*b**2 - 2*b - 1. Let i be o(-1). Let m(n) = n**3 - n**2 - 8. Let r be m(0). Let w(u) = u**2 + 9*u + 4. Let g be w(r). Which is smaller: i or g? g Suppose -20 = w - 3*w. Let p be w/(-2) + 2 - -3. Let c be (-5)/(-15) - p/1. Which is smaller: 2 or c? c Let x = 2 + 2. Suppose y + x*y = -25. Are -1 and y unequal? True Let h be ((-42)/7)/((-6)/(-4)). Which is greater: h or -1? -1 Let z(f) = -9*f - 18. Let v be z(-4). Do 18 and v have different values? False Let z be 785/(-354) - (-3 + 1). Let g = 3/59 + z. Suppose 6*b - 5*b = 1. Which is smaller: g or b? g Let u be (3/10)/((-24)/10). Let l be (-3)/(-2)*4/(-6). Is u equal to l? False Let j be (3/1)/(-24)*-4. Which is smaller: j or 47? j Suppose 8 = 4*c + 20. Let k = -3 + -1. Which is smaller: k or c? k Let u be 77 - ((-20)/(-5) + -5). Is 77 at most as big as u? True Suppose -2*j - 8 = -a, 4*j + 8 = -0*j - 2*a. Suppose 6*i = -3*i - 63. Which is smaller: i or j? i Let d be 1/(3 + 2 + -4). Let y(k) = -k**2 - 2*k + 1. Let g be y(d). Suppose -2*q - 2*q = 3*l + 21, -2*l + 2*q = 0. Which is smaller: g or l? l Let u = -7 - -6.9. Do -2 and u have the same value? False Let w = -221/14 + 31/2. Which is smaller: 0 or w? w Let v = 4 - 3. Let m = -1 - v. Let q be (-70)/(-15) - m/(-3). Which is smaller: q or 3? 3 Suppose -q - 3 = -2. Let r(j) = -j - 3 - 2*j + 1 + j**2. Let b be r(3). Is b >= q? False Let p = 2 + 1. Suppose -2*a - 16 = -c, -75 = -5*c + 5*a - 0*a. Suppose 5 = -p*h + c. Is 2 at most as big as h? True Suppose p - 16 = -14. Let r be (p/5)/((-1)/10). Which is bigger: r or -6? r Suppose -2*l - 12 = 2*l. Let c(x) = -x**2 - 11*x + 2. Let p be c(-11). Let k be -3 + p - 4/l. Which is smaller: 1 or k? k Let l = -1.5 - 13.5. Let f = 15.3 + l. Is 2 at least f? True Let o(a) = 2*a + 17. Let n be o(-7). Let p = -4 + n. Which is greater: p or 0? 0 Let x = -0.16 - 0.04. Which is greater: 1 or x? 1 Let w(k) = k - 3. Let z be w(7). Let s = -8 - -8. Suppose z*m - 5*m = s. Which is smaller: m or -2/7? -2/7 Let o be (-3)/10 - 28/(-70). Which is bigger: 1 or o? 1 Let p = -31 - -15. Which is greater: p or -15? -15 Let f be 4/3 - (-100)/(-12). Let h = f - -20. Is 14 greater than h? True Suppose s - 4 - 2 = j, -2*s - 12 = 4*j. Let i be (-1)/1*(s + -3). Do 2 and i have different values? True Let z = 0 - 1/4. Suppose 4*o - 11 = -59. Let v be 1/4 + 3/o. Is v bigger than z? True Let f be (-3)/7*28/42. Is f > -3/7? True Suppose 0 = -5*y - w + 27, 2*y = -w + 10 + 2. Let t be (3 - 4) + y/4. Is -2 at least t? False Let j be 44/24 - (-2)/12. Let k be (j/3)/(2/3). Is k greater than or equal to -1? True Let f(i) = -5*i - 2. Let y(m) = 4*m + 1. Let x(u) = -5*f(u) - 6*y(u). Let z be x(-6). Which is smaller: z or -0.2? z Let b be (-2)/10 + (-14)/30. Suppose 8*m - 3*m = 0. Which is smaller: b or m? b Let r = -8 + 4. Let w = -2 - r. Let c = -1.5 - -1.4. Are w and c unequal? True Suppose 5*t - 64 = 9*t. Are -15 and t nonequal? True Let a be 1/(-12) - 10/(-40). Is 0 < a? True Let x = -77/10 - -17/2. Let a(f) = -f - 5. Let s be a(-7). Are s and x nonequal? True Suppose d + d = -2. Do -2 and d have the same value? False Let y = -1302863/70 - -18612. Let r = 1/14 - y. Suppose 10 = -2*s, 2*s + 18 = 5*c + 3. Which is greater: c or r? c Suppose o + 0*o = -2. Which is smaller: -4 or o? -4 Let j = -76 + -39. Let n = 3807 + -18458/5. Let t = j + n. Which is smaller: -5 or t? -5 Suppose 4*c - 5*d = -2, d - 1 - 3 = 2*c. Let h = 4 + c. Let t be ((-17)/(-34))/((-5)/(-4)). Which is bigger: t or h? h Suppose -23 + 8 = -3*t. Is 5 greater than t? False Let j(i) = i**3 + 9*i**2 + 7*i - 8. Let f be j(-8). Let x be 0*(f - (-2 + 1)). Which is bigger: x or 1? 1 Suppose 2*m = 27 - 13. Which is smaller: 0 or m? 0 Let j be 11/4 + -1 + -1. Let b(f) = f - 3. Let n be b(4). Which is greater: n or j? n Let g be 286/(-33)*(-3 + 0). Which is smaller: 27 or g? g Let h be (2 - 2)*(-1 - 0). Is 1 equal to h? False Suppose 3*c + 3*i = 12, -2*i + 8 = -5*c + c. Is 0 smaller than c? False Let p = -52.1 - -56. Let f = -4 + p. Is -0.1 less than or equal to f? True Let a = 19 + -15. Suppose 5 = 4*s - 11. Suppose -4*j - 3 = 3*p, s*p = -a*j + 1 - 5. Is j at least 0? True Let t(l) = 14*l - 85. Let z be t(6). Let o = 7/13 - 15/52. Is o less than or equal to z? False Let h = 13 + -12.9. Suppose -4*y = 5*v - 173, -y + 2*v + 19 = -8. Let x = 184/5 - y. Which is smaller: h or x? x Let u(x) = x**3 - 8*x**2 - 1. Let t be u(8). Suppose 0 = -5*d - 25, 2*j + 5*d = 3*d - 44. Let c be (-1)/4 - j/36. Which is smaller: t or c? t Let q be 6/33 + 19505/13420. Let g = q + 7/61. Which is smaller: 3 or g? g Let q = 4/3 - 11/6. Let w(j) = j**3 - 5*j**2 - 5*j - 5. Let c = -4 - -10. Let o be w(c). Which is smaller: o or q? q Let x(f) = f**2 + 4*f + 5. Let c be x(-4). Suppose c*d - m = 25, m + 3*m + 28 = 2*d. Suppose g - 4*l = d, -2 + 4 = 5*g - 2*l. Which is greater: -2 or g? g Let n be -1 + (-39)/(-5) + 12/(-15). Suppose -4*o - c = 21, -c - 1 = -0. Let f = n + o. Is 2/5 > f? False Let l(y) be the third derivative of -y**6/120 - y**5/20 + y**3/6 - 2*y**2. Let i be l(-3). Which is bigger: -3/13 or i? i Let y(w) = -w**2 - 11*w - 6. Suppose 0 = -2*f - 1 + 3. Let n be (-8)/12*(f - -14). Let m be y(n). Is m at least as big as 3? True Let q = -25.033 - -0.033. Let t = q + 22. Which is greater: t or 0.2? 0.2 Suppose a + 32 = -3*a. Is a greater than -8? False Suppose -d = 4*d - 100. Suppose -4*n + d + 4 = 0. Let s = -5 + n. Is -1 < s? True Suppose -17*b = -14*b - 48. Is b not equal to 16? False Let x = 0 + 1. Let r be (x + 0)*(-4)/14. Let g = 0.47 - -2.53. Is g less than r? False Let c = -51 + 152/3. Is 1.1 bigger than c? True Let h be 1/(2 + -3) + -2. Suppose -16 = p + 3*p. Let a = p + 0. Which is bigger: h or a? h Suppose -3*b = -3*w, 5*b = -3*w - 0*b. Let v = 5.7 + 9.4. Let h = -15 + v. Are w and h equal? False Let s be 9/6*(-24)/(-9). Let p = 8 - s. Is 1 less than p? True Suppose -9 = 2*r - 3*s, -3*r - 19 + 4 = -5*s. Suppose 0 = 5*y - 0*l + 4*l + 15, y - l - 6 = 0. Is r equal to y? False Let i = 7599/50 - 152. Is 1 at most i? False Suppose -3*p + 3*w + 1 + 17 = 0, 4*p + w - 4 = 0. Suppose y = -5*q + 3*q + 1, -5*y = -p*q + 7. Let a be 0/(-2) - (0 - -1). Do a and y have the same value? True Let m
{ "pile_set_name": "DM Mathematics" }
- 8, -3*j = -12*z + 8*z - 12 for j. 4 Solve s - 24 = -3*i - 13, s = 3*i - 7 for s. 2 Solve -2*j + 0*a = -2*a + 4, 4*a = 8 for j. 0 Solve u + 9 = 3*o - 3*u, 0 = -3*o + u for o. -1 Solve -5*v - 19 = 4*j + 21, 2*j + 30 = -5*v for v. -4 Solve -5*p = -3*k - 7*p + 13, -3*k + 5*p = 22 for k. 1 Solve 5*v - 4*v - 4*y = 17, 0 = -4*v - 2*y - 22 for v. -3 Solve 0 = -o + 4*o - p + 5, 5*p - 13 = 3*o for o. -1 Solve 3*x = -4*u + 3*u - 8, 2*x - 4*u = 18 for x. -1 Solve -5*q = -2*z, -5*z + 3*z = -3*z for q. 0 Solve -2*n - 3 = z, 2*n + 3*n + 5*z = -10 for n. -1 Solve 4*w = -12, w - 242 + 220 = -5*m for m. 5 Solve 4 = -2*o + 3*h, o + 79*h + 7 = 83*h for o. 1 Solve 0 = -5*f - r - 14, -2*f - 4*r + 0*r - 2 = 0 for f. -3 Solve 1 = -z + 2*v, 4*v = -4*z + 4 + 4 for z. 1 Solve -3 = b, -5*b - 15 = 3*t - 4*b for t. -4 Solve 0 = -2*m + 284*n - 281*n - 8, -2*m - 3*n = -28 for m. 5 Solve -3*u + 10 = -3*b - 14, 2*u - b = 11 for u. 3 Solve -5*l = -5*y + 20, -l + 3*y + 1 = 3 for l. -5 Solve -2 = 3*s + 4*l, 4*s - 4*l = -9*l - 3 for s. -2 Solve 72*x - 70*x - 14 = -4*y, 0 = 4*y + 5*x - 29 for y. 1 Solve -4*f + l + 12 = 34, -3*l - 14 = 4*f for f. -5 Solve -k - 28 = -4*k - z, 2*k + z = 19 for k. 9 Solve -3*h = -t - 132 + 124, -4*t + 5*h - 25 = 0 for t. -5 Solve 54*v + r = 49*v + 32, -46 = -5*v - 3*r for v. 5 Solve -q + 4 = -2*h, q - 3*h - 8 = -q for q. 4 Solve c - 3*d - 16 = -3*c, 5*d + 20 = 5*c for c. 4 Solve y - s + 5 = 0, 2*y + 0*s - 4*s + 14 = 0 for y. -3 Solve -4*o - 12 = -q, 5*o = -0*q + 2*q - 15 for q. 0 Solve 5 = -2*w - n, 8*n + 25 = 2*w + 3*n for w. 0 Solve -25 = -o + 4*f, -2*f - 2*f - 30 = -2*o for o. 5 Solve 10*d - 5*d + 21 = 2*v, -3*v = 5*d + 6 for v. 3 Solve 7*d - 3*g = 3*d + 5, 0 = -d - 3*g - 10 for d. -1 Solve 2*d + 18 = -2*t + 16, 4*t - 4*d = 28 for t. 3 Solve 90 = -4*i + 5*r + 127, -2*i - r = -1 for i. 3 Solve 5*p - 16 = -3*v, -5*v + v - 12 = 0 for p. 5 Solve -9 = p - 4, -2*h + 2*p + 4 = 0 for h. -3 Solve 10*w + 4*i = 7*w, -i = 3 for w. 4 Solve 5*h + 5*w - 5 = 0, -3*h - 2*w + 7 = 2*w for h. -3 Solve -3*k = 12, 4*f + k - 16 = 6*k for f. -1 Solve 3*x + 10 = -2*m, 2*x + x + 8 = -4*m for x. -4 Solve 5*m + 3*x + 34 = 0, 0 = 2*m + 13*x - 8*x + 25 for m. -5 Solve -8*y = 4*f - 5*y - 22, -4*y + 4 = -f for f. 4 Solve -2*y + 3*q - 3 = 0, 3*y + 7 = -7*q + 11*q for y. -9 Solve 3*h + 3*l - 16 = 11, 4*h - 31 = -3*l for h. 4 Solve -3*m - v + 15 = 0, -3*m - 2*v = -4*m + 5 for m. 5 Solve 4*k + 10 = 2*j, -10 = -2*k + 4*k for j. -5 Solve -12*n - 2 = -11*n - m, -5*n + 20 = 5*m for n. 1 Solve 9*g - 5*g = -4, 0 = 5*q - 3*g - 23 for q. 4 Solve 2*q + 0*z + 2*z + 2 = 0, -3*z = q + 5 for q. 1 Solve -3*z - 2 = -5*s, 6 - 1 = 5*z for s. 1 Solve 0 = -2*w - 8, -3*n - w + 1 = 11 for n. -2 Solve 5*i + 181*p - 176*p = 20, 4*i + 2*p = 18 for i. 5 Solve 11 = 5*j + 4*w + 34, 4 = -2*j + w for j. -3 Solve 4*y + 4*h = 26 - 14, -2*y - 5*h = -3 for y. 4 Solve 5*f + 6*u = 3*u - 20, -5*f - 20 = -u for f. -4 Solve 2*u = -3*k + 3, -3 = -k - 4*u - 2 for k. 1 Solve -4*n = -4, 6*n - n = 2*a + 3 for a. 1 Solve 4*n + 3*s + 9 = 8*s, -4*n - 5*s + 41 = 0 for n. 4 Solve -2*k = -5*u - 14, -3*k - 4*u = 15 + 10 for k. -3 Solve 44 - 38 = -3*v, x = -3*v - 10 for x. -4 Solve 2*z - 2 = -0, 2*f = z + 3 for f. 2 Solve -2*v - 4*m = -7*v + 3, 3*m + 1 = 5*v for v. -1 Solve f = 3*x - 1, -9 = 5*x - 4 for f. -4 Solve 0 = c + 5, -7*c + 5*c = -2*g + 14 for g. 2 Solve -3*y = 3*s - 27, 5*y - 3 = 3*s + 2*y for s. 4 Solve 23 = d - 4*q, -1 = -2*d - 4*q - 15 for d. 3 Solve -196*m + 17 = 2*t - 199*m, -2*m + 14 = 5*t for t. 4 Solve -2*o + 18 = -4*w, 5*w - 14 + 42 = -3*o for w. -5 Solve 6 = 4*v + 2*f - 20, -f = -5 for v. 4 Solve 5 = -2*j + z, -z = 3*j + j + 13 for j. -3 Solve 6*b + 3*t = 7*b - 3, -4 = 4*t for b. 0 Solve 0 = 2*g - 45*u + 43*u + 20, -4*u = -20 for g. -5 Solve r - 4*y = 16, -2*y = -5*r + 3*y + 20 for r. 0 Solve -2*p = h + 7, 0*h = -3*p + 2*h - 14 for p. -4 Solve -6*t = -3*l - 10*t + 12, 0 = -2*l + 3*t + 8 for l. 4 Solve p + 3*p - 4 = 4*m, 5*m = 3*p + 3 for p. 4 Solve -5*h + g = -22 + 5, 0 = -5*h + 2*g + 14 for h. 4 Solve 3*j + 11 = -2*s, -s - s + 4*j + 10 = 0 for s. -1 Solve -1 - 1 = -2*h - 4*j, -j - 22 = -4*h for h. 5 Solve 0 = 2*x - 3*l + 13, -4*x + 10 = -l + 31 for x. -5 Solve 0 = x, 4*s + 3*s = 2*s + x - 10 for s. -2 Solve 0 = 4*z + 2*n - 30, -3*z - 2*n = -5*n for z. 5 Solve 0 = -10*w + 7*w + 4*r + 3, 4*r = -3*w + 3 for w. 1 Solve -8 = -2*s + 4*y, 0 = -3*s + 4*y - 3*y - 3 for s. -2 Solve -4*l + 3*t + 9 = -l, 5*t + 9 = -l for l. 1 Solve -7 + 2 = -3*n - 5*v, 4*v = n + 4 for n. 0 Solve 5*f - 23 = 20*m - 17*m, -21 = -5*f + m for f. 4 Solve 5*d - 3*k - 5 = 6*d, 4*k + 4 = -2*d for d. 4 Solve -v + 7*t - 21 = 2*t, -3*v + 4*t = 19 for v. -1 Solve -5*w - 25 = -5*g, 2*w = -6*g + 5*g + 5 for w. 0 Solve 3*u + 14 = 7*u + 3*l, -2*u + 5*l = 6 for u. 2 Solve -2*s = 2*o, 3*s + 31 - 37 = -o for s. 3 Solve -s + u - 1 = 0, -5*s + 3*u - 7*u = -13 for s. 1 Solve 3*l - 1 = -0*l + b, 0 = 5*l + 3*b - 11 for l. 1 Solve 2*t = -4*f - t + 15, -4*t = 5*f - 19 for f. 3 Solve 0 = -2*k + 6*k + 5*l + 30, 3*k + 3*l = -21 for k. -5 Solve -d - 2*v - 8 = 0, -d - d = -4*v for d. -4 Solve v - 5*j + 24 = -0*v, 0 = -5*v + 4*j - 15 for v. 1 Solve -4*o + 16 = -r - r, -5*o = 5*r - 5 for o. 3 Solve 3*i + 2*i = 5*z + 10, 2*z = -i - 7 for i. -1 Solve x + 8 = 3*d - 0, -2*x - 8 = -4*d for d. 4 Solve -15 = -13*s + 16*s, 5*a + 4*s - 5 = 0 for a. 5 Solve z = b - 1, b - 3*z - 1 = 4 for b. -1 Solve -3*b + 12 = -5*k, 0 = 3*b + 3 - 0 for k. -3 Solve -2*b = 3*c + 15, -300*c + 296*c = 12 for b. -3 Solve 5*a + 14 = 4*b, 11 = -3*a + 4*b + 1 for a. -2 Solve -4*u + 14 = -2*a, 6 = -14*u + 16*u for a. -1 Solve v - 6 = -2*u, -5*u - 3*v + 25 = 10 for u. 3 Solve 0 = -5*f + f + 5*n - 17, -f - 4*n + 1 = 0 for f. -3 Solve 3*g = 3*o - 12, 0 = -3*o + 4*g + 10 + 5 for o. 1 Solve -k = 3, k - 2 - 1 = -3*q for q. 2 Solve 2*c - 3*m + 4 = -7*m, 4*c = 2*m + 22 for c. 4 Solve -4*o + 31 = -5*r - 0*o, r - 17 = -5*o for r. -3 Solve 0 = 3*t + 2*o - 13, 48*t - 4*o + 14 = 50*t for t. 3 Solve 5*h = 5*q - 5, -h + 15 = -5*q - 0 for h. -5 Solve 0 = -5*t - g + 17, -2*t - 20*g + 23*g + 17 = 0 for t. 4 Solve -2*b + 12 = -2*g, 4*g + 21 - 1 = 0 for b. 1 Solve -k + 4*v - 2 = 0, 3*k + k + 8 = -5*v for k. -2 Solve -2*s = k + 11 - 9, 5*s + 4*k + 8 = 0 for s. 0 Solve -2*n - t - 9 = -20, 0 = 2*n - t - 1 for n. 3 Solve -3*p - 8 = -4*u, 0*u = -3*u - 3*p + 27 for u. 5 Solve -8*j + 6*j + 5*g + 11 = 0, 0 = -j + 3*g + 7 for j. -2 Solve 0*d = -3*j + 3*d, 0 = 5*j - d + 4 for j. -1 Solve -2*m = 4*c, -c + 14 = -0*c + 4*m for c. -2 Solve 16 = -4*w - 2*c, -8*c = -7*c for w. -4 Solve -3*u + 4*i + 4 = 0, -5*u + 3*i - 6 = 2 for u. -4 Solve 86*z = 84*z + 4*d + 6, 5*z = -3*d + 28 for z. 5 Solve -20*l - 3*s - 25 = -18*l, 4*l = 4*s for l. -5 Solve -3*x - h = 9, 2*x - 5*x = 5*h + 9 for x. -3 Solve -n = -2*l + 4*l - 14, 5*n + 2*l - 30 = 0 for n. 4 Solve 5*d + 15 = -3*j + 2*d, -4*d - 23 = 5*j for j. -3 Solve 0 = -3*c + 2*b - 11, 5*c - c + b + 11 = 0 for c. -3 Solve -8*z + 3*q - 17 = -4*z, 2*z = 3*q - 13 for z. -2 Solve 15 = 3*o, -3*o + 31 - 10 = 3*f for f. 2 Solve -4*g - 17 = 4*a - 5, -4*a + 20 = -4*g for g. -4 Solve a + t + 3 = 0, -19*t = -20*t - 1 for a. -2 Solve i + 8 = 2*y + 11, -3*i - 3*y = 0 for i. 1 Solve -4*s + r = 4 + 6, -4*s - r = 6 for s. -2 Solve 0 = 2*o + 10, -9 = -5*f - 3*o + 1 for f. 5 Solve 9 = -5*k - 3*f, 3*k - 3*f + 11 = -4 for k. -3 Solve 0 = 5*y - 5*t + 15, 7*t - 9*t + 4 = -3*y for y. 2 Solve -50*c + 4 = -46*c - 4*p, -3*c = 2*p - 13 for c. 3 Solve 5*v + 11 = y, 4*v = -3*y - 0*y - 5 for y. 1 Solve -3*q = -2*v - 10 + 11, 4*v - 3*q + 7 = 0 for v. -4 Solve -6*h + 3*h + 6 = 3*c, 4*c - 5*h - 35 = 0 for c. 5 Solve 5*y + 25 = -7*w + 12*w, -w + 9 = -3*y for w. 3 Solve 5*v - 5*s = -15, -5*v - 9*s + 5*s + 57 = 0 for v. 5 Solve -5*k + 20 = 4*v - 12, -7*v + 13 = -2*k for v. 3 Solve -3*u - 19 = -5*t, -2*u - 4 = -4*t + 10 for t. 2 Solve 2*v - 4*v - 7 = -n, 3*v = 3*n - 6 for n. -3 Solve -20 = -4*j, 4*f + 50 = 5*j + 9 for f. -4 Solve 12*y - 20 = 7*y + 4*s, 0 = 3*y + 2*s - 12 for y. 4 Solve -53*h = -5*q - 54*h - 8, 0 = 5*q - 2*h + 14 for q. -2 Solve -4*f = 12, 0 = -4*s + 4*f - 7*f - 17 for s. -2 Solve 3*o - 18 = -5*s, -o - 19 - 3 = -3*s for s. 6 Solve -2*h = 4, -4*m = 7*h - 5*h - 16 for m. 5 Solve -a + 4*m = -3, -2*a + 77*m = 76*m - 6 for a.
{ "pile_set_name": "DM Mathematics" }
st common divisor of 3358 and 2774? 146 What is the highest common factor of 1110 and 26196? 222 Calculate the highest common divisor of 475493 and 1687. 241 Calculate the greatest common divisor of 308505 and 15. 15 What is the highest common divisor of 7464 and 292? 4 Calculate the greatest common factor of 30325 and 175. 25 Calculate the highest common factor of 15148 and 868. 28 Calculate the greatest common factor of 307 and 52. 1 What is the greatest common factor of 8400 and 6510? 210 What is the greatest common divisor of 774 and 9504? 18 What is the highest common factor of 2542 and 598641? 1271 What is the highest common factor of 459 and 5343984? 153 Calculate the greatest common divisor of 36 and 34350. 6 What is the greatest common divisor of 9 and 1718019? 9 Calculate the highest common divisor of 32697 and 121100. 1211 What is the highest common divisor of 27472 and 10064? 272 Calculate the highest common divisor of 85521 and 348. 87 What is the highest common factor of 523 and 354594? 523 What is the highest common divisor of 45084 and 21684? 156 What is the highest common divisor of 27 and 77919? 3 What is the highest common factor of 301 and 15566? 43 Calculate the highest common factor of 66102 and 828. 138 Calculate the highest common divisor of 672 and 60284. 28 What is the greatest common factor of 4 and 306116? 4 What is the highest common factor of 11753 and 322? 161 What is the greatest common divisor of 3495 and 355? 5 Calculate the highest common divisor of 27 and 200313. 27 Calculate the highest common factor of 9720776 and 208. 104 What is the highest common divisor of 78600 and 540? 60 What is the highest common factor of 2817720 and 405? 135 What is the highest common factor of 285 and 84465? 15 What is the highest common factor of 127840 and 2992? 272 Calculate the greatest common divisor of 624 and 196248. 312 Calculate the highest common factor of 258 and 36421. 43 Calculate the greatest common divisor of 6825 and 42600. 75 What is the highest common divisor of 37008 and 216? 72 What is the highest common factor of 163125 and 10000? 625 What is the greatest common factor of 574 and 11365487? 287 Calculate the greatest common factor of 1085967 and 1476. 369 What is the highest common factor of 126 and 5453? 7 Calculate the highest common divisor of 1317421 and 2814. 469 Calculate the highest common divisor of 19 and 297217. 19 Calculate the highest common divisor of 1456257 and 99. 33 What is the greatest common divisor of 29808 and 45360? 1296 What is the highest common factor of 158587 and 39? 13 What is the highest common factor of 3077 and 1003? 17 Calculate the highest common divisor of 836 and 8756. 44 Calculate the greatest common divisor of 176 and 174064. 176 What is the greatest common divisor of 327952 and 412? 412 What is the greatest common divisor of 23886 and 36? 18 What is the highest common divisor of 778 and 12994934? 778 Calculate the highest common divisor of 1571787 and 61. 61 Calculate the greatest common factor of 3024 and 70497. 189 Calculate the highest common divisor of 1043 and 50213. 149 What is the greatest common factor of 30152 and 96? 8 Calculate the highest common factor of 126 and 237629. 7 What is the greatest common factor of 114 and 49286? 38 Calculate the highest common divisor of 34901 and 6868. 17 What is the greatest common factor of 512 and 574208? 256 What is the highest common divisor of 203 and 2233? 203 What is the highest common divisor of 2174487 and 952? 119 Calculate the greatest common divisor of 100786 and 28. 14 Calculate the highest common factor of 1616 and 9328. 16 Calculate the greatest common divisor of 1302 and 2171085. 651 Calculate the greatest common divisor of 134660 and 20. 20 Calculate the highest common factor of 5810839 and 283. 283 Calculate the highest common factor of 211410 and 51330. 870 Calculate the greatest common factor of 468 and 498654. 234 What is the greatest common divisor of 3134142 and 72? 18 What is the greatest common factor of 46140 and 2440? 20 What is the greatest common factor of 75592 and 792? 88 Calculate the highest common divisor of 3589 and 370. 37 Calculate the greatest common divisor of 101875 and 652. 163 Calculate the highest common divisor of 2244 and 627. 33 What is the highest common factor of 3495 and 150? 15 Calculate the highest common divisor of 15782 and 270722. 1214 Calculate the greatest common divisor of 113770 and 465. 155 What is the highest common factor of 67 and 16281? 67 Calculate the greatest common divisor of 26 and 54015. 13 What is the highest common factor of 10062 and 129? 129 What is the highest common factor of 202 and 83729? 101 Calculate the highest common factor of 434952 and 2016. 504 Calculate the highest common divisor of 477 and 15423. 159 What is the highest common divisor of 8368826 and 46? 46 What is the greatest common factor of 138384 and 432? 144 What is the greatest common factor of 378 and 1838403? 189 Calculate the highest common divisor of 30316 and 1859. 143 What is the greatest common factor of 352 and 28520096? 352 What is the highest common divisor of 656 and 54448? 656 Calculate the greatest common divisor of 224 and 153188. 28 What is the greatest common divisor of 652 and 2364? 4 Calculate the greatest common divisor of 136 and 43744. 8 Calculate the highest common divisor of 255 and 3945. 15 What is the greatest common factor of 72 and 256? 8 Calculate the greatest common factor of 147 and 2053982. 49 Calculate the highest common factor of 7631 and 1157. 13 Calculate the greatest common divisor of 544 and 20876. 68 Calculate the greatest common factor of 428 and 80. 4 What is the greatest common factor of 4050 and 2538? 54 What is the greatest common factor of 964859 and 1827? 203 What is the greatest common divisor of 40 and 765500? 20 Calculate the greatest common divisor of 1311 and 2071. 19 What is the highest common divisor of 32 and 1236? 4 What is the highest common divisor of 3378485 and 305? 305 Calculate the highest common factor of 443807 and 39. 13 What is the highest common factor of 409853 and 68? 17 What is the greatest common divisor of 253 and 536866? 253 What is the greatest common factor of 88 and 125202? 22 Calculate the greatest common factor of 176 and 1210616. 88 Calculate the greatest common factor of 1436521 and 958. 479 Calculate the highest common factor of 114718 and 82. 82 What is the highest common divisor of 15385 and 3910? 85 Calculate the greatest common divisor of 634661 and 5661. 629 What is the greatest common factor of 854 and 13538? 14 Calculate the highest common factor of 30 and 6430. 10 What is the greatest common divisor of 232021 and 67? 67 Calculate the highest common factor of 13680 and 200. 40 Calculate the highest common factor of 114840 and 72. 72 Calculate the greatest common divisor of 183 and 7. 1 Calculate the highest common divisor of 693 and 979. 11 What is the greatest common divisor of 102630 and 1320? 330 Calculate the highest common factor of 51107 and 298. 149 Calculate the highest common divisor of 70 and 844165. 35 Calculate the highest common factor of 29016 and 40. 8 What is the greatest common divisor of 7250857 and 2686? 1343 Calculate the highest common factor of 2508 and 2200. 44 What is the greatest common factor of 828190 and 220? 110 What is the greatest common divisor of 425640 and 5880? 120 What is the highest common factor of 17507 and 1722? 287 What is the highest common factor of 178048 and 208? 208 Calculate the greatest common divisor of 2630 and 1550. 10 Calculate the highest common divisor of 110430 and 2430. 270 What is the greatest common divisor of 161199 and 9? 9 What is the greatest common factor of 533 and 221741? 13 Calculate the highest common factor of 76 and 178676. 76 What is the highest common factor of 147 and 44443? 49 Calculate the greatest common factor of 31421360 and 80. 80 Calculate the greatest common factor of 2548 and 109928. 364 What is the greatest common factor of 175410 and 180? 90 Calculate the highest common factor of 402 and 390141. 201 Calculate the highest common factor of 18297 and 3021. 57 Calculate the highest common divisor of 3926 and 806. 26 What
{ "pile_set_name": "DM Mathematics" }
5130.124 and -3957. 51173.124 -971278 - 2.571756 -971280.571756 -0.50769495 - -1030 1029.49230505 5462.291 - 479678 -474215.709 Calculate -6 - 5002469453686. -5002469453692 Add together -4 and 383739526187.2. 383739526183.2 What is 0 less than 25997119933032? 25997119933032 What is -496.588 less than 0.008479184? 496.596479184 What is 0.034185 minus -19595.956? 19595.990185 What is 905610672745 minus 40? 905610672705 Add together -0.045856818 and 81799. 81798.954143182 37078 + -12802511008 -12802473930 Subtract -1445.43 from 0.0417494. 1445.4717494 What is -10573600.11 plus -16591.1? -10590191.21 Put together 25630122.37946 and 0.08. 25630122.45946 What is 27484.56 + -50633715? -50606230.44 What is the difference between -851688 and -6680.6256? 845007.3744 Work out 17621123.87234 - -0.3. 17621124.17234 Calculate -9034.351262 - 0.073. -9034.424262 Add together 3756887 and 47.17. 3756934.17 Calculate -2689717156 - 531064. -2690248220 What is the distance between 0.5 and 1178459973579? 1178459973578.5 1.7 + -725657706795 -725657706793.3 What is 54.198287349 less than 0.2? -53.998287349 -0.5+-3339707609846 -3339707609846.5 Add together 446048.738 and 0.721. 446049.459 Add together 501 and -631970099. -631969598 Work out 216698.1413197 + 0.1. 216698.2413197 Work out 11.041 + -12310702. -12310690.959 What is 0.753865908 + -5379? -5378.246134092 Work out -0.07 - -1183634722734. 1183634722733.93 What is 1003.87155238 - 0.0677? 1003.80385238 -2.690551831 - -0.32417 -2.366381831 Calculate -9010738.9358 + 2. -9010736.9358 Add -292632 and 169.11601. -292462.88399 Calculate -455 + 0.24610959819. -454.75389040181 -61770423769604 - -18 -61770423769586 What is the difference between 8 and 2180642379889.3? 2180642379881.3 What is 36277070425 + -13? 36277070412 What is 57.6 + 7203836877? 7203836934.6 What is the distance between 120865 and -0.16829014? 120865.16829014 Put together -60166228.3 and -930856. -61097084.3 -1542096289 - 129 -1542096418 -14128668.1171+-0.2 -14128668.3171 Put together -488.5 and -0.0770378. -488.5770378 -93 + -126871312 -126871405 -1943.1241758845+-2 -1945.1241758845 Calculate -1215030122.3683 - -5. -1215030117.3683 What is the difference between 0.26962582359 and -67? 67.26962582359 -30532 + 40194654 40164122 Subtract 649 from -822240627. -822241276 247110851999 + 0 247110851999 Add together 1814806779 and -38.2. 1814806740.8 Subtract -25659.47456 from 0.131. 25659.60556 What is -0.399 less than -21561555237? -21561555236.601 Add 60 and -2909.36757414. -2849.36757414 4051.8018465 + -0.1 4051.7018465 What is -130.6 + -3128566.89? -3128697.49 What is 0.02 take away 45.305687332? -45.285687332 What is -1.64 plus 46222.8922? 46221.2522 What is -113960 minus 24545.156? -138505.156 Calculate -106.2503 - -8.6411. -97.6092 What is the distance between -48898 and 37738.201? 86636.201 Subtract 33 from -1388611862. -1388611895 Put together 0.2 and -776197622466. -776197622465.8 1200.061+6121.5 7321.561 Total of -26 and -2817618251355. -2817618251381 Calculate 185225.05 - 0.03788. 185225.01212 Add -80.16551 and 17369. 17288.83449 Calculate -216418.592670417 + -0.1. -216418.692670417 Calculate 47463.45 + 5461785. 5509248.45 What is -1205 - -29.760092? -1175.239908 Calculate 1924102656 + -3.37. 1924102652.63 0.1+-728239254382 -728239254381.9 -9807918+-92269205 -102077123 -1367840957 + -1.047 -1367840958.047 What is -0.3 less than -572459074507? -572459074506.7 Put together -3589200 and -2117.05. -3591317.05 Put together 0.009368895593625 and -3. -2.990631104406375 What is -37453429142 take away 603? -37453429745 What is 1404743247161 less than 0.045? -1404743247160.955 Add -481597303804.19 and 0.5. -481597303803.69 Sum 0.0297623258 and 0.12582. 0.1555823258 Add 56.9383 and -58034.3246. -57977.3863 What is 0.044 minus -189483003593? 189483003593.044 Put together -6.4619123 and 0.86353. -5.5983823 Calculate 0.288 - -210686709035. 210686709035.288 What is 29.980651477 less than 66? 36.019348523 What is the distance between -114303156778 and 0.01? 114303156778.01 -35471478.9+1587 -35469891.9 What is -1947 - 223673983794? -223673985741 Subtract 9840050963 from -79. -9840051042 What is -108707563 take away 0.3467? -108707563.3467 What is the distance between -6483 and 541140.6542? 547623.6542 Work out -26238.3 - 71079. -97317.3 371820259+1661 371821920 What is the distance between 3 and 255092380568? 255092380565 What is 5016477659901 less than 0.2? -5016477659900.8 What is 19223228420 plus -17? 19223228403 What is 20 + 18.729937765? 38.729937765 Add -2 and -111548.203411815. -111550.203411815 3.35 + 166576304342 166576304345.35 What is the distance between 0.18259039 and -0.0337? 0.21629039 What is -58822582800 minus 1425? -58822584225 What is the distance between -321644.769 and -10.456? 321634.313 What is 1.00160356 plus 3.33866? 4.34026356 What is 2 less than 68737.516376? 68735.516376 Work out 884481 + 6.4945. 884487.4945 What is -1164850098840 minus -0.089? -1164850098839.911 Calculate 6 + -188808928461896. -188808928461890 Total of 3350415.81 and -5232. 3345183.81 What is 227 take away 1415851247? -1415851020 What is 663626977 minus 0.08419? 663626976.91581 Add together 0.1515 and -106.0773932. -105.9258932 Sum 653296882392.6 and -0.07. 653296882392.53 Total of -0.4 and -1511640.02416. -1511640.42416 What is 24078904555.3 - 6? 24078904549.3 What is 3088 plus -0.778595792? 3087.221404208 What is -41993764544792 minus 3? -41993764544795 Work out -942 + 28229976. 28229034 Total of 2.9232777 and -584658. -584655.0767223 What is 0.39 less than -23974.38598? -23974.77598 -0.5 - 729213590764 -729213590764.5 Total of 28690465808 and -21. 28690465787 Add -6364448953 and 302. -6364448651 Calculate 41.770783681 - 1.38. 40.390783681 Put together -161519981 and 50486. -161469495 Add together -311701561 and -22. -311701583 51 + -17055887247 -17055887196 Work out -585244218 + 16.1. -585244201.9 What is -33511617802221 plus -9? -33511617802230 Calculate 0.03 - -12532.669332258. 12532.699332258 37848+50.13673 37898.13673 What is -1044776.2981696 - -0.3? -1044775.9981696 -0.04+12199490709387 12199490709386.96 0.6179168+0.44806 1.0659768 -20481.96 + -293.62 -20775.58 What is 1.84 minus 2643602997? -2643602995.16 Add together 25824 and 11848008597. 11848034421 Add 391842 and -4230.6313. 387611.3687 Sum 10372 and -0.05541715. 10371.94458285 Calculate 6368230759442.6 - 0.2. 6368230759442.4 What is the difference between 9700910815.40575 and 0? 9700910815.40575 Calculate 14.88209468 + -0.1346. 14.74749468 Put together 3302196050.4 and -12093. 3302183957.4 Sum -8426 and 1399.788024. -7026.211976 Work out 3 - 416638.444228. -416635.444228 What is 25.12 + 62039507348? 62039507373.12 Work out 3 - 61994378834. -61994378831 Work out -46.2247799 + 65352. 65305.7752201 Put together -5 and 299421.3142311. 299416.3142311 Add -92.136607 and -0.3396793. -92.4762863 Total of -0.03 and -1096552.69017414. -1096552.72017414 Work out 0.16620922 + -24898. -24897.83379078 What is the distance between 661440.2 and -63282? 724722.2 Calculate 100 - 27611517.004. -27611417.004 Calculate -302956.1511 + 7645. -295311.1511 Add together 518.8 and 2597.396838. 3116.196838 0.2 - -6208232892115 6208232892115.2 What is the distance between -10 and 26771894467? 26771894477 Work out -2065 - 1926.94372. -3991.94372 Work out 271905959 - -126. 271906085 Add -46470699254 and -0.4. -46470699254.4 What is the distance between -10558345964 and 189? 10558346153 What is the difference between -4.89 and -9.0495236? 4.1595236 Work out 46164160 + 37553. 46201713 Subtract -4984.3387 from 32081. 37065.3387 What is the difference between 0.2 and -29768486626.188? 29768486626.388 Work out 0.3 + 20851039010. 20851039010.3 Add together 35443060 and -21094. 35421966 Add 2823869167855 and -11.9. 2823869167843.1 Sum 5.557572 and 139.2. 144.757572 What is 42056495410 take away 75? 42056495335 Put together -0.4858 and 263922037. 263922036.5142 400658438869684+-1 400658438869683 -2376+-65008.409 -67384.409 Calculate 3.182 + -0.021887084. 3.160112916 Work out 0.0265 + 810081381. 810081381.0265 What is -0.648 - -8002137001? 8002137000.352 What is -3 + -7147901706266? -7147901706269 -5 - -6883142882 6883142877 What is the d
{ "pile_set_name": "DM Mathematics" }
to 3 dps. 0.019 Round 20.8863 to 0 dps. 21 Round 8823 to the nearest one hundred. 8800 Round 1.1279 to one decimal place. 1.1 What is -0.017042 rounded to 4 dps? -0.017 What is 9405 rounded to the nearest ten thousand? 10000 Round -0.28217 to 3 dps. -0.282 Round -0.00000106 to 7 decimal places. -0.0000011 What is -0.0071811 rounded to three dps? -0.007 Round 0.26327 to 2 decimal places. 0.26 What is -6490400 rounded to the nearest one hundred thousand? -6500000 Round -268520 to the nearest ten thousand. -270000 What is -0.0003181 rounded to four decimal places? -0.0003 What is -64460 rounded to the nearest 1000? -64000 Round -3223.8 to the nearest 100. -3200 Round 1627.1 to the nearest ten. 1630 Round 1.78108 to 2 decimal places. 1.78 Round -679 to the nearest 10. -680 Round 0.017162 to 4 decimal places. 0.0172 Round -192.66 to the nearest 10. -190 What is 283500 rounded to the nearest one hundred thousand? 300000 Round -0.00322 to 3 dps. -0.003 What is 0.0006402 rounded to 5 dps? 0.00064 What is 138.3 rounded to the nearest integer? 138 Round 0.0014 to four dps. 0.0014 What is -0.52801 rounded to 2 decimal places? -0.53 What is -1499 rounded to the nearest one hundred? -1500 Round 139700000 to the nearest 1000000. 140000000 Round -27.94 to 0 dps. -28 What is -8.705 rounded to zero decimal places? -9 What is 0.00000846 rounded to 5 decimal places? 0.00001 What is 35050 rounded to the nearest 10000? 40000 What is 750.16 rounded to the nearest 100? 800 What is -2288000 rounded to the nearest one hundred thousand? -2300000 What is -0.00016854 rounded to six dps? -0.000169 What is -0.00000775 rounded to 6 dps? -0.000008 What is 0.0000005897 rounded to seven dps? 0.0000006 What is -0.0004345 rounded to 5 dps? -0.00043 What is -14302 rounded to the nearest 1000? -14000 Round -7430700 to the nearest one hundred thousand. -7400000 What is -0.0000379 rounded to 6 decimal places? -0.000038 Round 0.000097 to four decimal places. 0.0001 Round -0.010708 to 4 dps. -0.0107 What is 0.00012882 rounded to five decimal places? 0.00013 Round -0.000004709 to seven dps. -0.0000047 Round 0.2794 to 2 decimal places. 0.28 Round 0.0000452 to five dps. 0.00005 What is -0.000000312 rounded to 7 dps? -0.0000003 What is -456.67 rounded to the nearest 100? -500 What is -527900 rounded to the nearest ten thousand? -530000 What is -0.00000918815 rounded to six dps? -0.000009 What is 0.0585 rounded to 3 decimal places? 0.059 What is 597.07 rounded to the nearest ten? 600 Round 557.1 to the nearest 100. 600 Round 908500000 to the nearest one million. 909000000 What is 0.0000765 rounded to five dps? 0.00008 Round 619240 to the nearest ten thousand. 620000 What is 783.5 rounded to the nearest 10? 780 What is 0.013576 rounded to 4 decimal places? 0.0136 What is 45820000 rounded to the nearest 1000000? 46000000 What is -10318000 rounded to the nearest one million? -10000000 What is -73.61 rounded to the nearest 10? -70 What is 0.009205 rounded to 3 decimal places? 0.009 Round 0.000886 to 4 dps. 0.0009 What is -0.000140385 rounded to 5 decimal places? -0.00014 Round -0.118097 to 2 dps. -0.12 What is 22429500 rounded to the nearest 1000000? 22000000 Round 0.002173 to 4 dps. 0.0022 Round -76880 to the nearest one thousand. -77000 What is 0.000006715 rounded to seven dps? 0.0000067 What is 1832000 rounded to the nearest 1000000? 2000000 Round 45660000 to the nearest one million. 46000000 What is 1383900 rounded to the nearest ten thousand? 1380000 Round -1024200 to the nearest 10000. -1020000 Round -0.0497515 to 3 dps. -0.05 Round 54.71 to the nearest 1000. 0 What is 295.7 rounded to the nearest ten? 300 Round -42921 to the nearest one thousand. -43000 What is -0.6816 rounded to 0 decimal places? -1 Round 0.0022726 to four decimal places. 0.0023 Round 0.0784 to two decimal places. 0.08 Round 0.026768 to four decimal places. 0.0268 Round -0.0026051 to 3 decimal places. -0.003 Round -0.0007565 to four decimal places. -0.0008 What is 0.005992 rounded to four decimal places? 0.006 Round -29840000 to the nearest one million. -30000000 What is 46300000 rounded to the nearest one million? 46000000 What is -0.0004311 rounded to 4 dps? -0.0004 What is 0.000017946 rounded to 7 dps? 0.0000179 What is -0.00004811 rounded to five dps? -0.00005 What is -1.12504 rounded to zero dps? -1 Round 282.2 to the nearest ten. 280 Round -0.0045 to three decimal places. -0.005 Round -42500 to the nearest 10000. -40000 Round 0.22722 to 2 dps. 0.23 What is -7.998 rounded to one decimal place? -8 What is 2054.2 rounded to the nearest 10? 2050 What is -14.215 rounded to 1 decimal place? -14.2 Round -1299.44 to zero decimal places. -1299 What is -1009.8 rounded to the nearest 100? -1000 What is -5.208 rounded to the nearest integer? -5 What is -0.000335342 rounded to 6 dps? -0.000335 Round -26800 to the nearest 1000. -27000 What is 14312 rounded to the nearest 100? 14300 What is -91790 rounded to the nearest 1000? -92000 What is 0.424 rounded to 1 decimal place? 0.4 What is 42450000 rounded to the nearest 1000000? 42000000 Round -0.001613 to four decimal places. -0.0016 What is -0.06143 rounded to 3 dps? -0.061 What is 0.0038686 rounded to three decimal places? 0.004 What is -4723200 rounded to the nearest 100000? -4700000 Round -1405.15 to the nearest 100. -1400 What is 310.7 rounded to the nearest ten? 310 What is -0.000029813 rounded to six dps? -0.00003 What is 0.0000012382 rounded to 6 decimal places? 0.000001 What is 173200 rounded to the nearest 10000? 170000 What is 1144.45 rounded to the nearest ten? 1140 Round 3055 to the nearest one hundred. 3100 What is -3797 rounded to the nearest 100? -3800 What is -2896.3 rounded to the nearest one thousand? -3000 Round -23820000 to the nearest 1000000. -24000000 What is 2204600 rounded to the nearest 10000? 2200000 What is 237090 rounded to the nearest ten thousand? 240000 Round -0.01473 to 4 decimal places. -0.0147 Round 0.0029521 to four decimal places. 0.003 Round 0.0012703 to four decimal places. 0.0013 Round -0.000269 to 4 dps. -0.0003 Round 0.000108222 to six dps. 0.000108 Round -0.0126707 to four decimal places. -0.0127 Round 0.00008055 to 6 dps. 0.000081 Round 1556100 to the nearest ten thousand. 1560000 What is -4050 rounded to the nearest one thousand? -4000 Round 0.00036127 to five dps. 0.00036 Round 0.00051065 to four dps. 0.0005 Round -0.0099533 to 3 decimal places. -0.01 Round -0.00195 to four decimal places. -0.002 Round -0.814 to 2 decimal places. -0.81 What is -6465 rounded to the nearest one hundred? -6500 What is 0.0009453 rounded to 5 dps? 0.00095 Round 0.0000025709 to seven decimal places. 0.0000026 Round -204.2 to 0 decimal places. -204 What is -6.9087 rounded to the nearest integer? -7 Round 0.00092 to three dps. 0.001 Round -0.117813 to two dps. -0.12 What is 0.0000028 rounded to six dps? 0.000003 Round -17.77 to the nearest integer. -18 Round 0.0000156 to 5 decimal places. 0.00002 What is -1368 rounded to the nearest 100? -1400 What is -712.3 rounded to the nearest 10? -710 Round 749800 to the nearest 10000. 750000 Round 0.00000329858 to seven decimal places. 0.0000033 Round -0.00016588 to 5 dps. -0.00017 What is 0.0000237 rounded to five decimal places? 0.00002 Round 6389800 to the nearest one hundred thousand. 6400000 What is -2772000 rounded to the nearest 100000? -2800000 Round -0.0001824 to four decimal places. -0.0002 Round -172500 to the nearest one hundred thousand. -200000 Round 7.6974 to 1 dp. 7.7 What is 0.0000021762 rounded to 7 dps? 0.0000022 Round -0.000133 to 5 decimal places. -0.00013 What is -7508 rounded to the nearest one hundred? -7500 What is 2968 rounded to the nearest 100? 3000 What is -0.023021 rounded to 3 decimal places? -0.023 What is 6000 rounded to the nearest 1000? 6000 What is 196.4 rounded to the nearest ten? 200 What is -14168000 rounded to the nearest one million? -14000000 What is 4.161 rounded to 1 dp? 4.2 What is 0.0000265 rounded to six decimal places? 0.000027 What is 94390000 rounded to the nearest 1000000? 94000000 What is 2941500 rounded to the nearest ten thousand? 2940000 Round -0.00057075 to four dps. -0.0006 What is -28000000 rounded to the nearest 1000000? -28000000 What is -0.00199 rounded
{ "pile_set_name": "DM Mathematics" }
(-25) - (-9)/5. Solve 2 - b = m for m. 1 Suppose 0 = 5*s - 10 - 5. Suppose s*d + 9 = 3*w, d + 4*w = 3*d + 16. Solve d*h = -2*h - 4 for h. -1 Suppose -16*x - 32 = -24*x. Let b = 0 - 0. Solve f - 2*f - x = b for f. -4 Let z be 490/42 - (-5)/(-3). Solve p = -p + z for p. 5 Suppose 0 = -2*a - p + 3*p - 6, -4*p = 5*a - 30. Solve a*s = -s for s. 0 Let t = 19 + -12. Let l = t - 5. Suppose l*p - 15 = 4*w - 1, w + 21 = 3*p. Solve -3*z - p = 8 for z. -5 Suppose -4*p = -4*k - 2*p + 18, 29 = 2*k - 5*p. Solve -5*w + k = -7*w for w. -1 Suppose 0 = -u + 4*n - 17, u - 2*n + 22 = -u. Let t = -6 - u. Solve 2*b - 25 = -t*b for b. 5 Let n(w) = w + 5. Let m be n(0). Let k = 7 - m. Let o be 1*(k + -2 - -1). Solve x + o = 2 for x. 1 Suppose 5*o = h - 1, -23 = 2*h - 5*h - 5*o. Solve -8*g = -h*g + 6 for g. -3 Suppose 4*j = -3*n + 16, -2*n + 0*j + 12 = 4*j. Solve n = l - 1 for l. 5 Let o(a) = -a**3 + a**2 + a + 3. Let i be o(0). Solve 0*c = -i*c - 6 for c. -2 Let n = 4 + -2. Solve -n*k + 15 = 3*k for k. 3 Suppose 6 = 8*r - 26. Suppose 0 = 5*d - 2*s - 54, -2*d + 11 = -3*s - 4. Let z = 21 + -13. Solve z + d = r*x for x. 5 Let j = -2 - -9. Suppose -x + j = -4*o - 1, 0 = 3*o + 2*x - 5. Let y be o/(-5) + (-118)/(-10). Solve -u - y = 3*u for u. -3 Suppose -2*n - 14 = 4. Let d be -18*((-1 - -2) + 0). Let b be (-9)/d - n/2. Solve b*z + 31 = 6 for z. -5 Let q(j) = -2*j + 5 - 3*j + 3*j. Let a be q(-4). Solve 5*z = -7 - a for z. -4 Let z = -22 - -28. Solve -4*y = -26 + z for y. 5 Suppose 7 + 13 = 5*d. Suppose -h - 1 = b + d*b, 4*h + 4*b = 12. Solve -g + h = g for g. 2 Let l(c) = -c - 3. Let u be l(-6). Suppose x + 6 + 2 = 4*s, -u = -3*x + 3*s. Solve -3*t = -7*t - x for t. -1 Let o = -98 - -100. Solve -6 = -5*f + o*f for f. 2 Let m be 126/33 - (-2)/11. Let c = m + -6. Let g be 190/8 + c/(-8). Solve 5*y + g = -1 for y. -5 Suppose 0 = -5*o + 5*u + 35, -3*o - 3*u = -12 + 3. Let i be (3/4)/(3/12). Solve -1 - o = i*s for s. -2 Suppose 5 - 17 = -3*p. Solve p*l = -0*l for l. 0 Suppose 5*o = -3*v - 2*v, o - 24 = 5*v. Suppose 0 = -3*k + 2*k - 5*g - 6, -3*k + 33 = -2*g. Suppose 7*a - 6*a - 7 = 0. Solve k = -o*z - a for z. -4 Suppose 0 = 4*s - 10*s + 18. Let m be (-1 - -1) + 0/s. Solve m = g - 5*g for g. 0 Let f(c) = c - 1. Let u be f(3). Suppose -3*b = 2*p + 2, 0 = -5*p - 6 - 14. Solve u*a + b = a for a. -2 Suppose 4*a = 5*g + 15, 0 = -2*a + 2*g - 2 + 8. Let c be (1 - -2)/(6/8). Solve a = c*l - 0*l - 20 for l. 5 Suppose 0 = -2*g - 3*g + 15. Suppose 0*q + i = 2*q - 7, 5*q + g*i = 12. Solve 5 - q = 2*t for t. 1 Let l(d) be the third derivative of d**5/30 + d**4/12 + d**3/6 - 2*d**2. Let p be l(-2). Let r(m) = m**3 + 6*m**2 + 8. Let v be r(-6). Solve p*n - v = n for n. 2 Let x be (12/(-16))/((-12)/112). Solve -3*t - x = -4 for t. -1 Suppose 0 = 2*i - 3*p + 2, p + 27 = -5*i + 3*p. Let v = -2 - i. Solve -v*k - 3 = -2*k for k. -1 Suppose 4*q - 22 = 4*n - n, 0 = 2*q + 5*n - 24. Suppose q*p + 3 = 8*p. Solve -p*a - 3 = -12 for a. 3 Let u = 152 + -151. Solve -u = -2*l + 1 for l. 1 Let f(r) = -2*r + 14. Let a be f(5). Solve 5*n - n - a = 0 for n. 1 Let l(m) = 2*m**3 + 2*m**2 - m. Let f be l(1). Solve 0 = 3*c - 3 - f for c. 2 Let h(c) be the first derivative of -c**3/3 - 3*c**2 + 6. Let g be h(-5). Solve 5*k = g + 10 for k. 3 Let r(j) = -j**2 + j + 2. Let n be r(0). Let b be (0 - 0)/(2/n). Solve -3*f = -b*f + 3 for f. -1 Let l = -91 + 103. Solve -l = 5*o + 8 for o. -4 Let h be 9 + (1 - 3)/2. Let g = -4 + h. Let s(q) = 9*q - 6. Let y be s(g). Solve y = 4*u + 10 for u. 5 Let h(v) = 0*v - 4 + 3*v + 3*v. Let n be (-7 + -1)*(-2)/4. Let w be h(n). Solve j + w = 6*j for j. 4 Let t be (-3 + 1/1)/(-1). Let q be 8/(-5)*(-5)/t. Suppose 0*h = 2*h - 4. Solve -r - h + q = 0 for r. 2 Let d(l) = -l + 4. Suppose -3*a + 3*w = -4*a, w = -2. Let n be (-4)/6*a*1. Let q be d(n). Solve 4*s = q*s - 12 for s. 3 Let b(i) = 2*i**2 + 6*i + 6. Let m be b(-3). Solve 5*f - m = 3*f for f. 3 Suppose -5*x + j = -21 + 4, -5*x + 29 = 3*j. Let a be 1 + 0 + -1 + x. Solve -a - 11 = -5*v for v. 3 Suppose -3*t = -6*t - 2*l + 8, -l = -4*t + 29. Let z = 14 + -11. Suppose 3 = -z*g + 9. Solve g = q + t for q. -4 Suppose 5*f = 4*f - 4*q - 17, 0 = 4*f - 3*q - 27. Solve 0 = -f*u + u + 10 for u. 5 Let a = 3 - 1. Suppose 0 = -2*h + 3*h - 5. Suppose 5*x + 20 = 5*f, 3*f = h*x - f + 16. Solve -a*i = -x*i for i. 0 Let z(t) = 5 + 4*t**2 - 5*t - 3*t**2 + 0*t**2. Let k be z(5). Suppose -k*h + h + 16 = 0. Solve 0*o - h*o + 20 = 0 for o. 5 Let t(f) = 14*f**2 - 3*f + 1. Let j be t(1). Let c be 28/j + (-4)/(-6). Solve c*h = -0 + 6 for h. 2 Let v(i) = i**3 + i**2 + i - 2. Let a be v(2). Suppose 4 = c + c. Let q be (1 - (c + -3)) + -2. Solve -a + q = -4*s for s. 3 Let a(d) = 2*d + 5. Let u be (3 - 8)/(2/(-4)). Let v be a(u). Solve -v = -h + 6*h for h. -5 Let o(a) = -a. Let c be o(-5). Suppose 2*d - d - 5*s - c = 0, 0 = -s - 1. Solve d = -q + 2*q - 2 for q. 2 Let w(c) = -c**3 + c**2 + 2*c. Let y be w(-1). Solve -q + 0*q + 3 = y for q. 3 Let f(o) = o + 4. Let q be f(-2). Suppose 3*y + q = h, 0*y - 3*h = 2*y - 6. Suppose z - 4*z = y. Solve z = -i - i for i. 0 Suppose 5 = 3*t + 5*n, t + 0*n + 4*n = 4. Solve -5*i = -t*i + 5 for i. -1 Let y(t) = -2*t - 14. Let r be y(-9). Solve r*j = 6 + 2 for j. 2 Let r = 7 - 4. Suppose 5*p - 4 - 8 = -r*k, 0 = -4*p + 5*k + 17. Suppose -3*o - 2*o = -10. Solve j - p = o for j. 5 Let h be 12/20 - 2/(-5). Let s = 4 - h. Suppose -25 = -4*q + 2*y + 1, -24 = -s*q + 3*y. Solve -3 = -2*c + q for c. 4 Suppose 2*s = -h - 35, -3*s = -2*h - 5 - 37. Let f = -24 - h. Solve -4 = -f*z - 16 for z. -4 Let u = -4 + 6. Let b = 5 - u. Suppose -d + 2 = -3. Solve z - d = -b for z. 2 Let z be (-74)/(-26) - (-2)/13. Solve -12 = -3*m - z for m. 3 Let f be 21/(-63) - (-14)/6. Suppose -3*h - 13 = -5*v + 12, -v - 3*h = -5. Solve -f*c + 6 = -v*c for c. -2 Let o be 12*-1*1/(-2). Suppose 2*b + 3*z = 2, -4*z + o*z = -4. Solve 11 = b*s - 1 for s. 3 Suppose 4*k - 18 = 6. Solve 2*n - k*n = 0 for n. 0 Suppose 8*v = 5*v. Suppose v = -3*h + 4*h - 2. Solve h*k = -0*k - 8 for k. -4 Let c be -1*3/6*-10. Let y = 8 - 26. Let a = 34 + y. Solve 1 - a = c*k for k. -3 Suppose 3*c = -t, 0*c = c + 4. Suppose -5*r - l = -5, 2*l - 1 = -r - 9. Solve -r*j + t = j for j. 4 Let w(j) = j**3 - 7*j**2 + 2*j + 5. Let g be w(7). Suppose -g = -5*y + 6*u - 3*u, -4*y - 2*u + 24 = 0. Solve -11 - 4 = y*q for q. -3 Let v(l) = -l**2 - 6*l + 3. Let h be v(-6). Solve 0 = p - h*p - 2 for p. -1 Let t(p) be the third derivative of -p**6/120 + p**5/12 + p**4/12 + p**3/6 + 4*p**2. Let g be t(4). Let o = g + -17. Solve -o = 8*j - 4*j for j. -2 Suppose -5*a + 1 + 14 = 0. Suppose 3*w = 3*j - a, 0 = -w + 3*j + 2*j - 17. Solve -w = 4*c - 3*c for c. -3 Let m = -1 + -2. Let n = 3 + m. Solve -t + 1 + 2 = n for t. 3 Let j be (-32)/(1 - -1) + 1. Let r = 17 + j. Solve n - r + 6 = 0 for n. -4 Suppose z + 0*z = 0. Solve -3*y = -z*y - 6 for y. 2 Suppose 3*b - 18 = -5*l, 7 = 4*b + 3. Suppose x + 1 = w, 0 = 5*w - l*x - 3. Solve w = -k + 2*k for k. 0 Let v = 1 - 1. Let x = -20 - -6. Let q = -11 - x. Solve v*d - q = -d for d. 3 Suppose -g + j + 15 = 0, 19*j = -4*g + 21*j + 50. Solve 6*n + g = -8 for n. -3 Let g = 0 + 3. Suppose -3*m + 8*m + 20 = 0, 0 = 2*f + m. Suppose g = 4*n - t, 6 = -2*n - n - f*t. Solve n = -4*o + 3*o for o. 0 Suppose -a + 0*j + 15 = 3*j, 0 = a + j - 9. Let d(f) = 0 + f - 2*f + a. Let c be d(6). Solve c*m = -4*m for m. 0 Suppose 10*w = 56 + 4. Solve -w*i + i + 10 = 0 for i. 2 Let p(c) = 6*c**2 + c - 1. Let i be p(1). Solve -10 = -i*o + o for o. 2 Let z be -1 - (-6)/(2 + 0). Suppose 3*y + 3 = 4*t - 9, y - 6 = -z*t. Solve y - 3 = -o for o. 3 Let m be 22*(-6)/(-9) - (-13)/39. Solve o = 6*o - m for o. 3 Suppose 7*o - 12 = 5*o. Let r = 8 - o. Solve 0 = -2*v + v + r for v. 2 Suppose 30 = 2*n - s, -2*s - 9 = -n + 6. Suppose -3*q - k = -4*q, -3*q = -2*k. Solve q = 2*p + 3*p - n for p. 3 Suppose 4*a + 2*u + 53 = 21, -3*u = 5*a + 40. Let w = a - -10. Suppose w*k + 10 = 0, 5*k = 2*t - 0*t - 27. Solve 2*g = t + 3 for g. 2 Let a = 9 - 5. Suppose -2*n + a = -6. Solve -n*f + 3 = -22 for f. 5 Let n = -41 + 46. Solve -2 = -n*g - 17 for g. -3 Let f(l) = -l - 7. Let c(m) = -m**3 - 6*m**2 + 10*m + 8. Let p be c(-7). Let u be f(p). Solve -3*s + u = -s for s. 3 Let j be (-1)/(-2)*2 - 1. Suppose 0*x = 2*x - 6. Let p(z) = z**
{ "pile_set_name": "DM Mathematics" }
6*z - 763 + 571 for z. 2 Solve -41*k - 45*k = 365 + 2301 for k. -31 Solve -6*g - 5566 = 219*g + 28*g for g. -22 Solve 807*r - 825*r = 396 for r. -22 Solve -53*q - 456 = -29*q for q. -19 Solve 7112*y + 1608 = 7179*y for y. 24 Solve 0 = 46*s - 777 + 1283 for s. -11 Solve -2251*v = -2287*v - 792 for v. -22 Solve -44*g = -7*g + 296 for g. -8 Solve 1890 + 1806 = -388*q - 4452 for q. -21 Solve -3778*t + 3765*t = 0 for t. 0 Solve 331*t - 108*t = 3836 + 178 for t. 18 Solve -84*q = 305*q + 1771 + 6009 for q. -20 Solve -16*t - 195 = -31*t for t. 13 Solve -549*b + 501*b = -432 for b. 9 Solve -107*a + 163*a = 1120 for a. 20 Solve -297 = 52*g - 37*g - 117 for g. -12 Solve 28283 - 28437 = -7*o for o. 22 Solve 143*y + 546 = 65*y for y. -7 Solve -14*x + 326 = 5*x + 193 for x. 7 Solve -2 - 67 = -24*z + 3 for z. 3 Solve -3000 = -9*c - 2892 for c. 12 Solve 254*u - 1488 = 161*u for u. 16 Solve 0 = 56*f + 46*f - 16*f - 946 for f. 11 Solve -27*q = 3775 - 3127 for q. -24 Solve -93*l - 2057 = -214*l for l. 17 Solve -7*r = 25*r + 76*r - 1728 for r. 16 Solve 1017*k - 220*k = -180*k + 6839 for k. 7 Solve 73655*y + 840 = 73685*y for y. 28 Solve -141*p - 351*p + 2562 + 2358 = 0 for p. 10 Solve 25*n - 119*n = -752 for n. 8 Solve -144*l - 213*l = 205*l - 9554 for l. 17 Solve 0 = 3*b + 99 - 54 for b. -15 Solve 0 = 40*c + 334 - 774 for c. 11 Solve 55*l + 122 = -136 + 38 for l. -4 Solve -104*u + 45*u = 1003 for u. -17 Solve 0 = -42*p + 35 + 259 for p. 7 Solve -8464 = 679*w + 415*w + 2476 for w. -10 Solve -281*m = -8105 + 2485 for m. 20 Solve 598*z = 555*z + 86 for z. 2 Solve 22 + 357 = -42*v - 167 for v. -13 Solve -3446 = -450*u + 154 for u. 8 Solve 25*u - 14*u + 851 = -26*u for u. -23 Solve -5*o = 111 - 36 for o. -15 Solve 0 = -236*b - 142 + 1086 for b. 4 Solve -119*k + 230*k - 135*k = 336 for k. -14 Solve -13*f - 7 = -8 + 14 for f. -1 Solve 0 = -0*d - 0*d - 4*d + 88 for d. 22 Solve -678 + 1542 = -54*s for s. -16 Solve 32*u + 72 = 24*u for u. -9 Solve 0 = -16672*p + 16627*p + 180 for p. 4 Solve 142*y - 4439 + 1610 = -1551 for y. 9 Solve -185*a + 126*a = 155 + 1084 for a. -21 Solve -1039 = -13*t - 1039 for t. 0 Solve -98*p + 18105 = 911*p + 56*p for p. 17 Solve -99*r = -287*r + 376 for r. 2 Solve -75*c + 81*c + 17 = -1 for c. -3 Solve -852 = 485*h + 874 - 271 for h. -3 Solve 27 + 238 = -53*u for u. -5 Solve 397*k + 1224 + 3091 = -449 for k. -12 Solve 4159 - 4115 = 22*g for g. 2 Solve 1326*l + 12629 = -8587 for l. -16 Solve -296 = 111*n + 148 for n. -4 Solve 145*c = 474*c + 8225 for c. -25 Solve 16435 = 971*o + 2841 for o. 14 Solve 18*c + 39*c - 212 = 16 for c. 4 Solve 4*y + 61 = 101 for y. 10 Solve -7*s - 229*s + 4930 = 54*s for s. 17 Solve 169*z - 12958 = -1009*z for z. 11 Solve -6*o = -3*o - 10*o + 70 for o. 10 Solve 342 + 164 + 178 = 76*p for p. 9 Solve 0 = -83*l + 166*l - 332 for l. 4 Solve 846*s = 448*s + 421*s - 782 for s. 34 Solve 0 = -219*b + 93*b + 102*b + 48 for b. 2 Solve -13311 = 1648*t - 2107*t for t. 29 Solve -485 - 831 = -47*j for j. 28 Solve -11*g - 414 = -667 for g. 23 Solve -1439 + 823 - 1749 = 473*u for u. -5 Solve 0 = 64*w + 147 - 97 + 846 for w. -14 Solve -3*w + 10*w = 276*w + 6187 for w. -23 Solve -5*d - 1833 = -1878 for d. 9 Solve -1510*a + 1446*a + 2112 = 0 for a. 33 Solve -4580*d = -4543*d for d. 0 Solve 248*l + 308*l = -1384 - 2508 for l. -7 Solve -128*s = -258*s + 150*s + 40 for s. -2 Solve 31*q - 802 = -12 - 15 for q. 25 Solve -59*p = 1897 - 2959 for p. 18 Solve 203*r - 114 = -1129 for r. -5 Solve 15*c + 166 = 7*c + 94 for c. -9 Solve 7*l - 148 = -71 for l. 11 Solve -149*c + 2550 = -4481 + 2114 for c. 33 Solve -46*h + 133*h = -723 - 234 for h. -11 Solve -88*x + 109*x - 75*x = -864 for x. 16 Solve 62*t = -60*t - 3*t - 125 for t. -1 Solve 293 - 35 - 158 = -50*g for g. -2 Solve -34*w + 4*w = 86 + 274 for w. -12 Solve 52*f + 29*f = 69*f + 84 for f. 7 Solve 97*y = 68*y + 232 for y. 8 Solve -132*f = 35*f + 1219 + 1620 for f. -17 Solve -25*d - 2842 + 2692 = 0 for d. -6 Solve 18*z - 25 + 283 = -30 for z. -16 Solve 32 + 38 = -8*x - 42 for x. -14 Solve -43*j = -48*j + 32*j - 135 for j. 5 Solve 5*t - 55 = -32 - 33 for t. -2 Solve 6 = -698*s + 692*s for s. -1 Solve -46*d = -860 + 676 for d. 4 Solve 65 = 44*a - 155 for a. 5 Solve -285 = -113*b + 583 - 190 for b. 6 Solve 256*l = 300*l + 88 for l. -2 Solve -515 + 1041 = 4*t + 474 for t. 13 Solve 62*q + 21*q + 2133 = -154*q for q. -9 Solve 4*i = 5*i + 6 + 1 for i. -7 Solve 132*i = -366*i - 5116 - 11318 for i. -33 Solve -8064 - 6360 = 597*q + 1098 for q. -26 Solve 11*s - 3*s = -6*s + 14 for s. 1 Solve 34*u - 241*u - 1647 = 342*u for u. -3 Solve -1147*f - 11515 = -1476*f for f. 35 Solve -2*f + 16*f - 19*f = -5 for f. 1 Solve 637*t + 12524 = 4243 for t. -13 Solve 429 = 90*m - 257 - 304 for m. 11 Solve -998595*x - 175 = -998588*x for x. -25 Solve 57*s + 8*s - 208 = -39*s for s. 2 Solve 64*l - 352 = -72*l - 3208 for l. -21 Solve -114 = 131*u + 51*u + 432 for u. -3 Solve -y + 65 = -17*y + 11*y for y. -13 Solve -743*g + 179*g = 4767 + 8205 for g. -23 Solve 448 - 365 = -279*h - 3544 for h. -13 Solve -5*o - 4*o - 1 - 89 = 0 for o. -10 Solve 770 + 658 = 357*w for w. 4 Solve -21*g + 48 = 88 + 170 for g. -10 Solve 19*i + 109 = 4*i + 49 for i. -4 Solve -3887*t + 61 = -3922*t + 971 for t. 26 Solve 527*a - 2131 - 1010 = 1602 for a. 9 Solve -16*d = 36*d + 18*d + 420 for d. -6 Solve -47*j - 679 = -148*j + 1139 for j. 18 Solve -62467*y = -62449*y - 360 for y. 20 Solve 21*l = -226 + 499 for l. 13 Solve 0 = -22*o + 30 - 184 for o. -7 Solve 0 = 29*g - 15*g - 36 - 48 for g. 6 Solve 0 = -1143*u + 1182*u + 819 for u. -21 Solve 2*u + 2*u - 8053 + 7929 = 0 for u. 31 Solve 23*b + 3472 - 3612 = -5*b for b. 5 Solve -22*j + 518 = 63*j - 11*j for j. 7 Solve -4540 + 4657 = 13*m for m. 9 Solve 5235*z - 5213*z + 176 = 0 for z. -8 Solve 323 = 101*u + 245 - 831 for u. 9 Solve -4*p = -15*p + 16*p + 65 for p. -13 Solve -146 = 48*r - 962 for r. 17 Solve -41*q + 62*q = 126 for q. 6 Solve 35*p - 476 = 51*p - 50*p for p. 14 Solve 3861 = 784*m + 9349 for m. -7 Solve -842*h - 12249 = 17221 for h. -35 Solve 8 + 46 = -15*m - 36 for m. -6 Solve -91*l - 9 = -2*l - 9 for l. 0 Solve 165*w - 155*w = 20 for w. 2 Solve 0 = 836*d - 730 + 8254 for d. -9 Solve -38 = 702*g - 664*g for g. -1 Solve 91*k - 434 = 60*k for k. 14 Solve 593*l - 587*l - 60 = 0 for l. 10 Solve 27*o = -156 + 102 for o. -2 Solve 1478 - 736 = -106*j for j. -7 Solve 23*r - 7*r - 1302 = -710 for r. 37 Solve 53*h - 73*h + 220 = 0 for h. 11 Solve 912 = -159*l - 284*l - 417 for l. -3 Solve 8217 = -1520*i + 607*i for i. -9 Solve -158*c + 409 = 93 for c. 2 Solve -11*i = 53 + 85 - 28 for i. -10 Solve 571*z = 326*z + 245 for z. 1 Solve -5*p - 8517 = 40*p - 10047 for p. 34 Solve -36*f + 15*f + 189 = 0 for f. 9 Solve 125*h + 52*h + 1239 = 0 for h. -7 Solve -34*l = -99*l - 130 for l. -2 Solve 361 - 61 + 2964 = 544*j for j. 6 Solve 26*l - 10*l + 194 = 18 for l. -11 Solve 0 = -229*l + 93*l - 2992 for l. -22 Solve 930 + 4397 = -514*f - 5467 for f. -21 Solve 11*y + 2140 - 2239 = 0 for y. 9 Solve 273*a + 2676 = 496*a for a. 12 Solve 45*r + 38680 - 38119 = 12*r for r. -17 Solve -90*c - 123 = 607 + 440 for c. -13 Solve 0 = 47*w - 87*w - 55*w for w. 0 Solve -10*p = -116 - 74 for p. 19 Solve 182*y = 204*y - 198 for y. 9 Solve 0 = 609*q + 548*q - 27768 for q. 24 Solve -100 = 403*n + 3700 + 1842 for n. -14 Solve -89*s + 108 = -182*s + 111*s for s. 6 Solve 0 = 9*k - 7*k + 39*k - 369 for k. 9 Solve -8*d - d - 506 = 14*d for d. -22 Solve 3*g + 11 = 47 for g. 12 Solve 0 = -33*n - 14 - 52 for n. -2 Solve 63*j + 137*j = 332*j - 1848 for j. 14 Solve -2196 = -588*w - 1193 + 4289 for w. 9 Solve 30*v - 10 + 57 = 17 for v. -1 Solve 791 = -31*y - 3*y - 25 for y. -24 Solve -71*j = -44*j - 40*j - 221 for j. -17 Solve 0 = 1233*i - 1203*i + 240 for i. -8 Solve 801*t + 144 = 789*t for t. -12 Solve 552*w = -84*w + 1940 + 1876 for w. 6 Solve 63*n + 5*n = 47*n - 147 for n. -7 Solve 270*h + 339 = 148*h - 217*h for h. -1 Solve 0 = 156*f + 1973 + 81 - 26 for f. -13 Solve 176*g + 901 = -23*g + 3488 for g. 13 Solve 128*p - 131*p = -9 for p. 3 Solve -11*k + 5389 - 5422 = 0 for k. -3 Solve -1798 = -84*z - 220*z + 938 for z. 9 Solve 184*a + 56*a + 2880 = 0 for a. -12 Solve 121*x - 322 + 269 = -1505 for x. -12 Solve 1434*z = 709*z + 525*z - 5600
{ "pile_set_name": "DM Mathematics" }
t is the highest common divisor of p and c? 15 Let y(o) = -171*o + 1033. Let b be y(-14). Calculate the highest common divisor of b and 23. 23 Suppose 15 = 5*i, -8*r - 2*i + 6282 = -5*r. What is the highest common divisor of 6 and r? 2 Suppose -30*a = -19*a - 3080. Calculate the highest common divisor of a and 644. 28 Suppose 7*q = 28 + 7. Let f(d) = -d**2 + 10*d + 1. Let j be f(q). What is the highest common divisor of j and 208? 26 Let w(q) be the second derivative of -2*q**3/3 - 3*q**2/2 - 575*q. Let s = 0 - 7. Let l be w(s). What is the greatest common factor of 25 and l? 25 Let a be (3 - 10) + 8 + 55. What is the greatest common factor of 1918 and a? 14 Suppose 2*t - 84*w - 71 = -89*w, 4*t = 4*w + 156. Let l be (-174 - -3)*(-4)/6. What is the highest common divisor of l and t? 38 Let c = 45 - 43. Let u be 18*(c/(-3) + 0). Let o be u/12 - (-25 - 1). What is the greatest common factor of o and 25? 25 Let d be (780/(-80))/((-27)/1224). What is the highest common factor of 416 and d? 26 Let y(z) = -17*z**2 + 156*z + 176. Let k be y(10). What is the highest common divisor of 21474 and k? 18 Let p(u) = -u**2 - 7*u - 20. Let b be p(-8). Let m be (7/(98/(-20)))/(2/b). Calculate the highest common divisor of m and 12. 4 Suppose -8 = -5*u - 4*b, 0 = 3*u - b - b + 4. Suppose 24*o - 28*o + 324 = u. Calculate the greatest common divisor of o and 54. 27 Suppose 3*y = 4*a + 132, -2*a - 16 + 210 = 5*y. What is the greatest common factor of y and 8660? 20 Suppose -2*z = 4, -2*l + 126*z - 121*z = -102. What is the highest common factor of 1127 and l? 23 Suppose 445*g = 451*g - 22800. Calculate the highest common divisor of g and 95. 95 Suppose -606*k + 626*k - 2600 = 0. Suppose 5*r - 2*r + 4*q = 10, -5*r + 45 = q. Calculate the highest common factor of k and r. 10 Let n be (4 - 2) + 56/(0 + -4). Let f be (-3)/(((-2)/3)/(n/(-9))). Let r = -4 + 10. What is the highest common divisor of f and r? 6 Let n(f) = 7*f**2 - 9*f - 11. Let a be n(-3). Suppose 0 = v + v - q - 51, 3*v - a = 4*q. What is the greatest common factor of v and 10? 5 Let d = 3 + 3. Let p(t) = t**2 - 318*t + 17048. Let j be p(68). What is the greatest common divisor of j and d? 6 Let g(i) = i + 33. Let a be g(-13). Suppose -3*z + 228 = 3*y, -18*y - 72 = -z - a*y. Calculate the greatest common factor of 48 and z. 16 Suppose 10*k + n = 12*k - 47, 2*k - 5*n = 67. Calculate the highest common factor of 12747 and k. 21 Let h(a) = -17*a + 57. Let t be h(5). Let y be 112/t - (-26)/2. What is the greatest common divisor of y and 477? 9 Suppose 13*o - 294 = 6*o. Let s be -1*(-4 + (67 - 4)). Let x = -31 - s. Calculate the highest common divisor of o and x. 14 Suppose -2*c = 3*h + 2*c + 6, 3*c = -h - 2. Let r be 2 + 25 - ((4 - 0) + h). What is the highest common divisor of 15 and r? 5 Suppose 48*r = 248 + 371 + 821. Calculate the highest common factor of r and 3090. 30 Suppose 16*t + 2815 = 5*d + 11*t, 5*t - 2261 = -4*d. Calculate the greatest common factor of 84 and d. 12 Let k = -154 - -359. Suppose -26 = -0*t - 2*t - 4*d, 0 = 2*t - d - 6. What is the highest common divisor of t and k? 5 Suppose l - 4*l - i = -507, -l + 159 = -3*i. Let k be (-69)/(-1) - ((-12)/(-3) - -2). What is the highest common divisor of k and l? 21 Suppose 5 = 4*c - 11. Suppose 0 = -4*n - 3*z + 3 + 3, -8 = -4*n - c*z. Let h(b) = -b + 104. Let g be h(n). Calculate the greatest common factor of g and 13. 13 Let d(g) = 4*g**3 + 2*g**2 + 7*g - 3. Let n be d(6). Let v = 553 + -514. Calculate the greatest common divisor of n and v. 39 Suppose -3*u + 4*n + 644 = 0, 2*u - 2*n + 650 = 5*u. Suppose -8 = 8*h - u. What is the greatest common factor of h and 2? 2 Suppose -10*c + 11*c - 3*w = 86, c - 92 = 4*w. What is the highest common factor of c and 40324? 68 Let d(g) = -g**3 - 44*g**2 - 96*g - 354. Let v be d(-42). Calculate the highest common factor of v and 775. 25 Suppose 0 = -9*g - 22*g - 4185. Let r be (-14 + 12)*g/2. Suppose 0 = -o + 6*o - 270. What is the greatest common factor of r and o? 27 Let l(p) be the second derivative of -1/2*p**3 + 24*p**2 + 0 + 42*p. Let r be l(15). Calculate the highest common divisor of r and 27. 3 Suppose 0 = -2*i + 68 + 12. Let l = i - 35. Suppose 16 = l*q - 3*q. Calculate the highest common factor of 8 and q. 8 Let l(q) = 2*q**3 + 7*q**2 + 7*q - 2. Let p be l(-2). Let d be 45/(7 - 4) + p. What is the highest common factor of 3 and d? 1 Let f(c) = -c**2 + 30*c - 76. Let i be f(27). Suppose -i*h + 11*h - 3042 = 0. Calculate the highest common factor of 39 and h. 39 Let y(v) = -15*v - 251. Let i be y(-17). Let w = 5 + -1. Suppose -i*b - w*m + 44 = 0, 4*m + 4 = -b + 6*m. Calculate the greatest common factor of 6 and b. 6 Suppose -26*m - 12*m = -8*m - 16860. What is the greatest common divisor of m and 4777? 281 Let r(f) = -18*f**2 + 222*f + 14. Let o(j) = -17*j**2 + 221*j + 15. Let z(x) = 2*o(x) - 3*r(x). Let a be z(12). What is the greatest common factor of 40 and a? 20 Let y be (65*-2 + -3)*(-198)/231. What is the highest common divisor of 950 and y? 38 Let d = 68 - 46. Let b(o) = -o**2 - 206*o + 6925. Let w be b(29). Calculate the greatest common factor of w and d. 22 Let a be (-60)/(110/(-11)) + (-15)/((-30)/304). What is the highest common factor of a and 6478? 158 Let v be (-3 - -11) + (-10 - -2). Suppose -5*j + 83 = 3*w - 117, v = 4*j - w - 160. What is the highest common factor of 50 and j? 10 Let f be 3/((5/(-5) - 0)/(-103)). Suppose -5*i = 2*k - f, -5*i - 240 = -9*i - 4*k. Calculate the greatest common factor of i and 21. 21 Suppose 0 = 5*z - 10, -7*f + 5*f + 2*z = -22. Let w(j) = 42 + 2 - 28*j + 14*j + 13*j. Let r be w(f). What is the greatest common factor of r and 31? 31 Let u = -7 - 6. Let j = -3 - u. Let n = -604 - -704. Calculate the greatest common factor of n and j. 10 Suppose 4*i - 21 = -3*i. Let a be (-10)/6 - (1 - 2/i). Let f be (20/14)/(a - 60/(-28)). What is the greatest common divisor of f and 10? 10 Suppose -9*n + 272 = 8*n. Suppose 46 = 5*w + n. What is the greatest common divisor of 168 and w? 6 Let v(i) be the first derivative of i**3/3 + 5*i**2 + 21*i - 79. Let u be v(0). What is the highest common divisor of u and 1029? 21 Let m(z) = 3*z**3 + 23*z**2 - 86*z + 571. Let d be m(7). What is the greatest common divisor of d and 75? 25 Let t(l) = 21*l + 1445. Let y be t(-65). Calculate the highest common factor of 5360 and y. 80 Let d(t) = -t + 80. Let a be d(0). Suppose 102*n - 103*n = -a. What is the highest common factor of n and 5? 5 Suppose -23 = -5*w + 2. Suppose 5*q = q - 4*n + 16, 0 = w*q - 2*n - 48. Let g be 2/q - 42/(-56). What is the highest common factor of g and 1? 1 Let a be (-4 + (0 - -6))*(131 + -1). What is the highest common factor of a and 884? 52 Let g(y) = 33*y + 11. Let t be g(8). What is the greatest common factor of 880 and t? 55 Let y(l) = -l**3 - 10*l**2 - 3*l + 14. Let t = 291 + -302. Let o be y(t). What is the greatest common divisor of o and 48? 24 Let v(t) = -t**3 - 49*t**2 - 47*t + 169. Let b be v(-48). Let y(f) = f**2 - 5. Let x be y(-4). What is the greatest common factor of x and b? 11 Let n(r) = r**2 + 3*r - 8. Let q be n(-6). Suppose 5*i - 5*o = 425, 120 = -2*i + 3*o + 295. Calculate the highest common factor of q and i. 10 Let w = -374 - -65. Let t = -290 - w. Calculate the greatest common divisor of t and 247. 19 Suppose -4*i - 12 = -7*i, 21 = -n + 4*i. Let h be 6/n*20/3*-3. Calculate the highest common divisor of 216 and h. 24 Suppose -666 - 2610 = -j. Suppose 69*n - 78*n + j = 0. What is the greatest common factor of 28 and n? 28 Let f be -1795*(7/14 + ((-90)/12 - -6)). Calculate the highest common factor of f and 15. 5 Suppose -t = -5*u + 21 - 3, -2*t - 8 = -3*u. Suppose 177 = 3*i + 3*x + x, x = -t*i + 123. What is the greatest common divisor of i and 54? 9 Suppose -4*u - 3*x = -12632, -904*u - x = -905*u + 3151. What is the greatest common divisor of 15 and u? 5 Let s = -12580 - -12595. What is the highest common divisor of 4395 and s? 15 Let g be (855/38)/((-3)/(-26)). Suppose -4*n = -y + 317, -y + 5*n = -3*y + 660. Calculate the highest common factor of y and g. 65 Let l(i) = 8*i**2 + i + 2. Let w be l(8). Let o be ((-140)/(-84))/(663/162 + -4). What is the highest common divisor of w and o? 18 Let q = -18311 + 18677. Calculate the h
{ "pile_set_name": "DM Mathematics" }
f - 2*f + f)*(-17*f + 6*f - 2 - 3*f) to r*f**2 + n*f + t and give t. 0 Rearrange -16 + 32*i**3 + 16 - 30*i**3 - 6*i**2 + 4*i to a*i**2 + b*i + o + c*i**3 and give o. 0 Express (-2*r + 3*r + r)*(0 - 3 + 2)*(r + 0 + 0 + (r - 3*r + 0*r)*(2 + 1 - 2) - 68*r + 28 - 28) as f + b*r**2 + d*r and give b. 138 Express 0 - 2*d**2 + 0 + (-d - 2 + 2)*(2 - 15*d + 8*d + 9*d) in the form f + l*d + u*d**2 and give u. -4 Express (4*v - 4*v - v)*(-v**3 - 5*v**3 - v**3) as r + x*v**2 + l*v**3 + u*v**4 + p*v and give p. 0 Rearrange -t - 13*t**2 - 33 - t**3 + 31 + 2*t**4 - t to y*t**3 + p + f*t**4 + z*t + n*t**2 and give y. -1 Express 3*k**4 + 0*k**4 - 2*k**4 + (-3*k + 2*k + 2*k)*(-5 + 2*k**3 + 5) in the form r + z*k**3 + a*k**4 + f*k + l*k**2 and give a. 3 Rearrange ((2 - 2 + q)*(0 - 1 + 6) + 2 - q - 2)*(-1 - 2*q + 1 + q - 3*q + 3*q + (4*q - 6*q + q)*(-2 + 2 + 2)) to the form u + d*q**2 + k*q and give d. -12 Rearrange 2*r + 14 - 3*r**3 - 5 - 3 + 0*r**3 to u*r + h*r**2 + o + g*r**3 and give g. -3 Express 0*l**2 + l**3 - 2*l**3 - 2*l - l**2 in the form j*l**3 + o + s*l + y*l**2 and give j. -1 Rearrange 0*u - 54*u**2 + 68*u**2 + u to j + y*u**2 + s*u and give y. 14 Express 2*t - 2 + 2 + 2 - 2*t - 2 - 2*t + 6*t - 2*t + (0 + 2 - 3)*(t + t - 3*t) + 4*t - t - 2*t + 11*t + 12*t - 9*t as i*t + l and give i. 18 Rearrange 25*t**4 + 2*t + 3*t**2 + t**3 - 4*t - 2 - 24*t**4 to z + h*t**2 + k*t**4 + n*t + v*t**3 and give h. 3 Rearrange -2*b**3 + 9*b**2 - 7*b**2 - 3*b**2 to the form z*b + c + t*b**3 + r*b**2 and give t. -2 Rearrange 2*g + 2*g**2 - 2*g**3 - 3 - 5*g**2 + 3*g**3 + g**3 to m + x*g + l*g**3 + w*g**2 and give m. -3 Rearrange 0 + 2*p**2 - 2*p - 1 - 436*p**4 + 442*p**4 to l*p**2 + f*p + z + c*p**4 + t*p**3 and give l. 2 Rearrange 170 - 19*i - 170 to the form u + n*i and give n. -19 Rearrange (-4*b + 4*b + 3*b**3)*(5*b + 8*b - 6*b) + (2 + 2 - 6)*(-b**4 - 4*b + 4*b) to s*b**3 + m*b + u*b**2 + c + a*b**4 and give a. 23 Express 8 + 38*r + 2*r**3 + 8*r - r**3 + 2*r**2 - 6 as x*r + g + f*r**3 + s*r**2 and give g. 2 Rearrange 19*v + 4*v**4 - 20*v - 2 + 0*v**3 + v**3 + v**2 - v**4 to h + x*v**2 + c*v**3 + d*v + q*v**4 and give c. 1 Express (-27 + 9 - 7)*(-2 + 0 + 9*i - 11*i) in the form y*i + d and give d. 50 Rearrange (-6*a**3 + a**3 - 27*a**3)*(3 - 3 + 1)*(-6 - 1 + 5) to the form j*a + r*a**2 + z*a**3 + v and give z. 64 Rearrange 2 - 2 + 3*y to the form j + w*y and give w. 3 Rearrange (2*v - 7 + 7)*(-29 - 14 + 3) to the form l + o*v and give o. -80 Rearrange -3*q + 0*q + 12*q - 3*q to a + p*q and give p. 6 Express -1 - 2*p + 0 - 3 + 2*p**4 in the form v*p**4 + h*p**2 + g + w*p + b*p**3 and give w. -2 Rearrange n**2 + 2*n**2 - n**2 + (-4*n - 4*n + 4*n)*(0*n + 2*n + 0*n) - 4*n**2 + 5*n**2 - 4*n**2 to the form l + c*n + m*n**2 and give c. 0 Express 266*y + 3 - 3 - 308*y as i*y + h and give i. -42 Rearrange 2 - 3 - 8 - 1 + 3*r**2 to the form q*r + n*r**2 + y and give y. -10 Express -a**3 + 4*a - 12 + 2*a**4 + 4 + 7 + 0*a + 4*a**2 in the form l*a**3 + g*a**2 + n*a + j*a**4 + t and give l. -1 Express 39*c**2 + 1185*c - 1185*c as i*c + s*c**2 + g and give s. 39 Express -36*a + 38*a - 5*a**2 - 8*a**2 as w*a**2 + c*a + f and give f. 0 Express -9*i**3 + i**4 + 3*i**2 - 2*i**3 - 3*i**4 - 2 + 9*i**3 + 5*i as o*i + c*i**3 + l*i**4 + m*i**2 + g and give g. -2 Rearrange 4*i**3 - 3*i**3 - 2*i**3 + (i**3 - 3*i + 3*i)*(-46 + 24 + 25) to the form m + s*i**3 + a*i + n*i**2 and give s. 2 Rearrange -3*y**3 + 2*y**3 + 3*y**3 + (1 - 2*y**2 - 1)*(-4*y + 6*y - 3*y) + (0 + y + 0)*(-y + y**2 + y) to o*y**3 + d*y**2 + g + l*y and give o. 5 Express (2*a - a - 2*a)*(3*a**2 - 2*a**2 + 2*a**2) - a**3 + 4*a**3 - 4*a**3 in the form t + x*a + q*a**3 + i*a**2 and give q. -4 Express (2*i**2 - 4*i**2 + 0*i**2)*(-57*i - 9*i + 3*i) in the form y*i + x*i**2 + l + u*i**3 and give u. 126 Express ((-4 + 0 + 2)*(1 + 2 - 2) - 11 + 11 - 10)*(0 + 0 + 2*z) as j*z + p and give j. -24 Rearrange (-1 - 5*v + 1)*(0*v - 3*v + 0*v - 2)*(2 + 2*v - 2) to i + o*v + f*v**2 + j*v**3 and give j. 30 Rearrange 3*j**2 - 6*j - j - 3*j - j**2 to the form x + b*j**2 + c*j and give b. 2 Express (5 - 4 - 3)*(2 - 4 + 0)*(4*y + 0 + 0) + (-1 + 1 + 2*y)*(1 + 2 - 4) as w*y + q and give w. 14 Rearrange (-230*y**2 + 230*y**2 - 26*y**3)*(y - 2*y - y - y + 7*y - 2*y + (4 - 4 - 2*y)*(0 - 1 - 1)) to the form a*y**2 + m*y**3 + o*y**4 + q + j*y and give o. -156 Rearrange -3*x**2 - 8*x**2 + 4*x**2 to t*x + n + r*x**2 and give r. -7 Rearrange 8*o - 5*o + 0*o + 30*o to the form s*o + b and give s. 33 Rearrange -4 - 8*k + 6 + k**3 - 2 to the form v*k**3 + z*k**2 + h + c*k and give c. -8 Rearrange -2*l - 3*l**3 + 4*l**3 + 21*l**2 + 2*l to the form j*l + y*l**3 + w*l**2 + i and give y. 1 Express (-81 - 13 + 20)*(-1 + 1 - 2)*(-4*d + 3*d - d) in the form b*d + p and give b. -296 Express (4*v + 9 - 9)*(2*v**3 - v**3 + 0*v**3) + 0 + v**4 + 0 as t*v**2 + f*v**3 + c + y*v + x*v**4 and give x. 5 Express (37*t + 27*t - 2*t)*(4 - 1 - 2) as g + s*t and give s. 62 Express -2 + 2 - u**2 - 5*u + 2 - 4*u**2 as s*u**2 + k + l*u and give k. 2 Express 2*o**2 - 4*o**2 + 9*o + 23 - 9*o as x*o + c + p*o**2 and give c. 23 Express 2 - 2*f - 2 + (0 + 0 - 3*f)*(0 + 0 - 1) + (-f + 2*f + 3*f)*(-2 + 3 - 3) in the form r + u*f and give u. -7 Express -2*z - 8*z - 4*z + 0*z as t + i*z and give i. -14 Rearrange (-3*d**3 + 2*d**3 + 2*d**3)*(231 - 30*d - 231) to the form p*d + u*d**3 + s + y*d**4 + f*d**2 and give y. -30 Express -17*g - 1 + 4 - 3 in the form m*g + w and give m. -17 Rearrange (-2*l + 2*l - l)*(5 - 3 - 1) - l - 2*l + 0*l + (-3 + 2 + 3)*(1 - 1 - l) + 4*l - 6*l - l to v*l + s and give s. 0 Express (-1 + 0 + 3)*(3 - 2 - 2)*(-3 + 2 + 2)*(-3020 + 3020 + 82*l**3) in the form g*l + r + y*l**3 + h*l**2 and give y. -164 Rearrange (0 + 3 + 0)*(-2 + 1 + 0)*(4 - 1 - 2)*(12*o + 11*o - 7*o) to the form b*o + u and give b. -48 Express -a + 5*a - 2*a - 3*a + 5*a - a + (-4 + 4*a + 4)*(1 + 0 + 1) - 2*a + a - a - 2*a + 6*a - 2*a as i + o*a and give o. 11 Express 3*w + 0*w - 3*w + 5*w in the form v + q*w and give q. 5 Express -7*y + 27 - 27 - 9*y in the form h + i*y and give i. -16 Express -5*w**4 + 7*w**4 - 33*w**3 + 19*w**3 + 16*w**3 - w - 12*w**2 as c*w**4 + b*w + r + d*w**3 + q*w**2 and give q. -12 Express (-3*f + 3*f + f)*(0*f**2 - 5*f**2 + 0*f**2) + (-2*f - 3 + 3)*(-7*f**2 - 2*f**2 - f**2) as q + i*f**3 + m*f + a*f**2 and give m. 0 Express w**2 - 16*w**2 - 5*w + 5*w as i + l*w**2 + h*w and give i. 0 Express t + 2*t**3 + 4*t**2 - 6*t**2 + 2*t + 16*t in the form f*t**3 + s*t**2 + q*t + b and give s. -2 Express (-2*i + 2*i - 2*i)*(4*i - 4*i - 2*i) - 1360*i - 235*i**2 + 1360*i in the form g + d*i**2 + f*i and give d. -231 Rearrange -2*p**2 + 3 + 33*p + 2*p**3 - 68*p - 1 + 28*p to w + a*p**3 + h*p**2 + t*p and give h. -2 Rearrange -6*a**2 + a**4 + 0*a + 4 + 2*a**3 + 5*a + 13*a**2 - 6*a**2 to the form p + v*a + d*a**3 + i*a**4 + r*a**2 and give v. 5 Rearrange (4 + 6 - 3)*(9*x - x + 2 - 3*x) to the form b*x + l and give l. 14 Express -2*h**2 + 127 - 39 + 0*h**2 - 62 as i + q*h + m*h**2 and give m. -2 Express -2*b + 11*b**2 + 7*b**2 + 2*b in the form q + k*b**2 + r*b and give k. 18 Rearrange (-40 - 11 + 11)*(3*k - 5*k + 0*k)*(3*k - 3*k - k) to the form b + u*k + o*k**2 and give o. -80 Rearrange -2*x + 9*x - x + (0*x + x + 0*x)*(-2 + 1 + 3) to j*x + i and give j. 8 Rearrange 3*u**4 + 0*u**4 - 4*u**4 + (-4 + 1 - 4)*(-1 + 4 - 5)*(-2*u**4 + u**3 - u**3) to n*u**3 + m*u**2 + f + y*u**4 + v*u and give y. -29 Rearrange 2*f**3 - f**3 + 2*f - 65*f**2 + 67*f**2 - 3*f**3 to h*f**3 + x*f + i + s*f**2 and give h. -2 Express -5*g - 23*g + 3*g as w + n*g and give n. -25 Express 23*y + 19*y + 78*y as f*y + s and give f. 120 Express 1 + 0*w**3 - 2*w**2 - 2*w**4 + 0*w**2 + 1 + 3*w**3 + 8*w in the form a + h*w + r*w**4 + v*w**2 + p*w**3 and give v. -2 Express -5*j**4 - j**4 + 4*j**4 + (-2*j + 2*j + 9*j)*(3*j - 4*j + 3*j)*(j**2 - 1 + 1) as p + h*j**3 + r*j**4 + m*j + v*j**2 and give m. 0 Rearrange 4 - 7*y**3 - 5*y**3 - 2 + 4*y**3 to k*y + i + w*y**2 + j*y**3 and give j. -8 Rearrange g**2 - 11*g**2 + 7*g**2 + (5*g - 2*g - g)*(4*g - 2*g - 3*g) to b + s*g**2 + y*g and give s. -5 Rearrange -4*n + 4*n + 12*n to u + m*n and give m. 12 Rearrange -2*r**2 + r**3 - 3*r**3 + 0 + 4 to n + p*r + f*r**2 + y*r**3 and give n. 4 Rearrang
{ "pile_set_name": "DM Mathematics" }
value? (a) 0.05 (b) -1 (c) p a Let r be (2/6)/((-1)/2). Let u be (-2)/10 - (-44)/70. Let m = -0.46 - -0.4. What is the second biggest value in r, u, m? m Let f = -54 + 54.2. Let s = -0.5 + 0.1. Which is the second biggest value? (a) f (b) s (c) -5 b Let l = -4.25 - -8.25. Which is the smallest value? (a) 1 (b) -1/4 (c) -5 (d) l c Let x = 167 + -166.6. Which is the second biggest value? (a) 1/27 (b) x (c) -4 a Let g = 487 + -480. Which is the smallest value? (a) 11 (b) g (c) 4 c Let g = 936 + -929. What is the third biggest value in 1, g, -0.7? -0.7 Let v = -1656 + 1652. Which is the smallest value? (a) 14 (b) v (c) -0.3 (d) 0.1 b Let s = 1111 + -900. Which is the second smallest value? (a) -2/3 (b) s (c) 5 c Let u be (4/(-10))/((-38)/(-10)). What is the second smallest value in 0.5, -1, u, 4/9? u Let y = 45 - 36. Let s = 0.6 - 0.4. Which is the biggest value? (a) 3 (b) y (c) s b Let g = -0.4 + 41.4. Let i = g - 46. Which is the third biggest value? (a) -2/5 (b) 5 (c) i c Let j = -0.7 - -0.58. Let r = -5.02 + 5. Let l = j - r. Which is the third biggest value? (a) -1/4 (b) l (c) 0.4 a Let d be (-4)/(-12) - 10/3. What is the fourth biggest value in 0.1, 3, d, -0.5? d Let r be 50/18 - (-1 + 4). Let b(s) = s**2 + 5*s + 1. Let k be b(-4). What is the second smallest value in 12, k, r? r Let u be 3 + (6/28)/((-8)/96). What is the third smallest value in u, 5, -18? 5 Suppose 3*p - 20 = 232. Which is the third biggest value? (a) -0.1 (b) 1 (c) -1 (d) p a Let h(n) = -2*n**3 + 6*n**2 + 4*n + 1. Let d be h(5). Let k = -76 - d. What is the third smallest value in -1, 4, k? 4 Let k = -561 + 560. What is the third biggest value in 7, 4, k? k Let q = -56.5 - -56.4. What is the third biggest value in 9, -3, q? -3 Let f = 2.13 + -2.13. What is the second smallest value in 0.1, 1/7, f, -0.5? f Let w = -0.0463 - 3.9537. Let u = -144/455 - -2/65. What is the biggest value in -4/7, u, w? u Let b = -677.7 + 677.71. Let s = 2 + -7. What is the second biggest value in -3, s, b? -3 Let n = 0.217 - 0.017. Let r be -5 + 8 + 12/(-2). Which is the fourth smallest value? (a) 0.03 (b) n (c) r (d) 1/4 d Let i = 181 + -185. Which is the biggest value? (a) i (b) 4/7 (c) 30 c Let m = 0.741 + 0.259. Which is the third smallest value? (a) -1 (b) 0 (c) -3 (d) m b Let l = 4 - 3. Let s be 5 + (0 - 1)/l. Let b be 1/(-2)*1/3*0. What is the second biggest value in b, 0.1, s? 0.1 Let x = -2.1 + 3. Suppose -1 = 26*h - 25*h. Which is the second biggest value? (a) x (b) h (c) -3 b Let v = 0.33 - 36.33. Suppose -133 + 97 = 12*g. Which is the biggest value? (a) v (b) 0 (c) 2 (d) g c Let j = 180.7 + -221.7. What is the third smallest value in -2, 3/5, -4, j? -2 Let v = -148/15 - -29/3. Suppose -3*n - 3 = -9. Which is the biggest value? (a) n (b) v (c) -0.1 a Let w be (-40)/(-21) + (-684)/513. Which is the third biggest value? (a) -2/15 (b) 1/7 (c) -516 (d) w a Let w = -41.4 - -41.5. What is the second biggest value in -83, 5, 2, w? 2 Let i = 885 + -4423/5. Which is the third smallest value? (a) 1/9 (b) i (c) 8 (d) -5/3 b Let l be 5/((-12)/8*40/(-24)). Which is the smallest value? (a) 9/5 (b) 4 (c) -3/4 (d) l c Let d = -1.7 + 1.87. Let s = d - -2.83. Let y = 7 - 8. Which is the biggest value? (a) -2/13 (b) s (c) y b Let w = 2702 - 2696. Let n be -3*(2 + 2/(-3)). What is the third smallest value in 0.2, n, w? w Let s = 0.36 - 2.36. Let h = 0.4 - -1.6. Let z = 0.6 - 0.2. Which is the smallest value? (a) h (b) z (c) s c Let s = 0.0094 + 0.3906. What is the third biggest value in -1, 119, 3/5, s? s Let o be (-16)/(-16)*(3 + -1). Let y be o/(-12) - (-333)/54. Suppose y*w + 12 = 9*w. What is the third smallest value in -1, -2/5, w? w Let z = -0.99 - 2.01. Which is the second biggest value? (a) z (b) -4 (c) 0.14 a Let j = -823/5 + 165. What is the biggest value in -2/3, -5, j, 0.2? j Let g = 2 + 3. Let x = 4.8 - g. Let w = -11.1 + 11.4. Which is the third biggest value? (a) w (b) x (c) -5 c Let x = 0.154 - 101.154. Let h = -100.6 - x. What is the biggest value in 1/4, h, 0? h Let r = -4.807 + 4.8. Let f = r + 0.207. Let i = 1.4 + -0.4. Which is the biggest value? (a) f (b) -0.8 (c) i c Let b be 724/18 - 4/18. Let j be ((-6)/4)/(50/b). What is the second smallest value in j, 5, -1? -1 Let v = 446580/466831 + -2/20297. Let i = 196/253 - v. Let s = 2 - 1. What is the third biggest value in -3/7, s, i? -3/7 Let n = 525 + -523. Which is the second biggest value? (a) -2/5 (b) n (c) -7/5 a Let s = 122 + -158. Let k = -39 - s. Which is the third smallest value? (a) -1 (b) 1/5 (c) k (d) -0.5 d Let q = -41.807 + 0.207. Let p = 37 + q. Let x = p + 5. Which is the smallest value? (a) x (b) -5/3 (c) 2 b Let c = 2 - 5. Let x = -2013 + 2013.3. What is the third biggest value in x, 1.8, c? c Let l = 413 + -433. Let h = 14.93 + 0.07. Let j = l + h. What is the smallest value in -3, j, -1? j Let d = 37 - 15. Let o = -21 + d. What is the smallest value in 0, 1/2, 2/3, o? 0 Suppose -4*t - 15 = -5*v - 2, -5*v - t = -28. Which is the second biggest value? (a) 1/12 (b) -4/3 (c) v a Let d = 0.29 + 0.71. What is the fourth smallest value in 3, d, -5, -23? 3 Let a = -404 + 406. What is the third smallest value in 4, 1, -6, a? a Let t = 19109 - 95998/5. Let k = t - -91. Which is the third smallest value? (a) 3 (b) 0.7 (c) k a Let f = -600 + 597. What is the third biggest value in 0.4, f, -7/3, -0.01? -7/3 Let v be (-2)/12 + 507/18 + -8. Suppose 0 = -4*y + 2*f + 18, -4*y = -4*f - f - 33. What is the third biggest value in y, 0, 0.3, v? 0.3 Let v = -97 - -101.9. Let h = -5 + v. Let p = 9.4 + -7.4. What is the biggest value in h, -1/2, p? p Let y = 5178 - 5174. Let q = -2 + 0. Let h = -1 - q. Which is the second biggest value? (a) 2 (b) y (c) h a Suppose 0 = -6*u + 2938 - 3076. What is the biggest value in u, 5/4, 1/9? 5/4 Let v = -0.359 - -0.159. Which is the second biggest value? (a) 38 (b) v (c) 2 (d) 4 d Let t = 1.7 + -0.7. Let y = 2.01 + -0.01. Let m = -2 - y. What is the third smallest value in m, -0.3, t? t Let y = -0.028 - 1.972. Let u = -1.4 - -1. What is the third smallest value in -1, y, u? u Let p be (1/2)/((-9)/54). Which is the fourth smallest value? (a) 2/9 (b) p (c) -0.5 (d) 2/7 d Let s be 2/4*(8 + -4). Let i = 8.5 - 9. Which is the third biggest value? (a) s (b) i (c) 4/3 b Let u = 0.5 - -2.5. Let j be 3*(-8)/(144/30). Which is the fourth smallest value? (a) 4/5 (b) u (c) j (d) 0.5 b Let k = -32 + 97/3. Let d = 205 - 140. Let i = -65.4 + d. What is the third smallest value in 2/19, k, i? k Let z(n) = n - 13 + 4 + 3 + 11. Let f be z(-4). Which is the fourth biggest value? (a) 5 (b) -0.1 (c) -3 (d) f c Let n be (-36)/96 - (-474)/(-16). Let k = n - -29. What is the second smallest value in 2/7, 0, k, -3? k Let b(w) = w**2 + w + 1. Let j be b(0). Let d = 5.948 - 10.909. Let x = 0.039 - d. What is the second biggest value in -4, x, j? j Let r = -2147/9 + 239. Suppose 17 + 16 = -3*g - 3*h, -3*h - 42 = 4*g. Let v be g/6 - (-2)/4. Which is the third smallest value? (a) v (b) r (c) 1/2 c Let j = 203.3 - 203. What is the fourth biggest value in 0.08, j, 0.1, 0.4? 0.08 Let s = 0.15 + 0.09. Let y = s + 0.26. Let j = 10 - 9. Which is the smallest value? (a) 5 (b) j (c) y c Let m = 16263/5 - 3268. Let g = m + 251/15. Let i be (-7 - -3 - -3)*(-2 - -3). Which is the smallest value? (a) g (b) i (c) 0.3 b Suppose 17*p - 7 = 16*p. Let g be 24/p - (-2 - -6). Let s = 0.07 - 0.27. Which is the third biggest value? (a) g (b) -4 (c) s b Let v = -13/67 - -227/134. Which is the third smallest value? (a) v (b) -14 (c) -4 (d) 2 a Let l be 1 + 16/(-20) - (-115)/(-200). Let v = 3 - 6. What is the smallest value in 0.2, v, l, 1/6? v Let r be 2/(-7) - (-4)/14. Let g be 12/(-2) + 3 + 1. Let z be 5/(-10) - 9/g. What is the smallest value in r, z, 1? r Suppose -5*h = -i + 1256, 4*i = -h - 25 - 222. Let b = h + 254. Let s = -0.4 - -0.2. What is the second smallest value in b, -2, s? s Let t = 30 - 0. Let n = 37 - t. Let d = 5/18 + -1/36. What is the second biggest value in -0.1, n, d? d Let y = 3.5 - -2.5. Let n = y - 5.8. What is the second biggest value in 5, 1, n? 1 Let h = 7 - 4. Let u = -137 - -136.52.
{ "pile_set_name": "DM Mathematics" }
number? False Is 7508341 a composite number? False Is 20756447 a prime number? True Is 5472043 prime? False Is 14391269 prime? True Is 32415857 a prime number? True Is 41523553 a composite number? False Is 3393509 prime? False Is 837191 a composite number? False Is 11007559 a prime number? False Is 70331763 a prime number? False Is 124193099 composite? True Is 13162411 prime? False Is 44121149 a prime number? True Is 1305805537 a composite number? True Is 38465902 a composite number? True Is 16073173 a composite number? False Is 68154677 composite? True Is 4431685 a composite number? True Is 40901755 a prime number? False Is 78936427 a composite number? False Is 231587273 prime? False Is 1284097 a prime number? False Is 18814331 composite? False Is 901289 a prime number? False Is 16274809 composite? True Is 490118459 composite? True Is 26031997 a prime number? True Is 3041581 a composite number? False Is 81511 a prime number? False Is 82001167 composite? 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True Is 161001707 a composite number? True Is 84679303 a composite number? False Is 107787997 a composite number? False Is 9090815 a composite number? True Is 229809863 prime? False Is 8984314 prime? False Is 61333999 a composite number? False Is 2840018 composite? True Is 17797771 composite? True Is 276943 composite? True Is 16140209 a composite number? False Is 17222599 composite? True Is 129970223 a prime number? False Is 11145137 prime? True Is 4034609 prime? False Is 2500807 composite? False Is 297216541 prime? False Is 335160589 a composite number? True Is 520661 a composite number? True Is 20685307 prime? True Is 23618107 a prime number? False Is 51174631 a prime number? True Is 65700941 composite? False Is 11183519 a composite number? True Is 282885931 composite? False Is 3705971 composite? True Is 1847827 composite? False Is 296669741 a composite number? True Is 4930309 composite? False Is 690136451 prime? False Is 3067159 a prime number? False Is 61343167 a composite number? 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False Is 59767993 prime? True Is 7734421 composite? True Is 2263529 a composite number? True Is 32636713 a prime number? True Is 283360453 a composite number? True Is 175969597 prime? True Is 996785705 a prime number? False Is 33623341 composite? False Is 12147649 a composite number? True Is 412234969 a
{ "pile_set_name": "DM Mathematics" }
equence az. 1/3 What is prob of sequence cr when two letters picked without replacement from brwycyv? 1/42 Three letters picked without replacement from {h: 2, p: 16}. Give prob of sequence ppp. 35/51 Calculate prob of sequence xx when two letters picked without replacement from {x: 2, l: 2, t: 3, p: 6}. 1/78 What is prob of sequence tcb when three letters picked without replacement from {c: 8, b: 4, t: 2}? 8/273 Two letters picked without replacement from {k: 1, n: 10, m: 4, x: 1, g: 3}. What is prob of sequence gx? 1/114 Two letters picked without replacement from ldlllllllllllldlllll. Give prob of sequence ld. 9/95 Three letters picked without replacement from ffrffxrxfr. What is prob of sequence xxf? 1/72 Four letters picked without replacement from {z: 2, u: 2, d: 2}. Give prob of sequence duzd. 1/45 Calculate prob of sequence tza when three letters picked without replacement from jttaatjzztj. 8/495 Calculate prob of sequence qqn when three letters picked without replacement from {n: 5, q: 7}. 7/44 What is prob of sequence omm when three letters picked without replacement from {o: 5, m: 2}? 1/21 What is prob of sequence ott when three letters picked without replacement from llhvvvlhlhowlhvttl? 1/2448 What is prob of sequence dd when two letters picked without replacement from {j: 4, d: 2}? 1/15 Calculate prob of sequence cvvx when four letters picked without replacement from bbxbcvxxbxxcvbxxx. 1/1785 Calculate prob of sequence eke when three letters picked without replacement from {k: 2, x: 2, e: 4}. 1/14 Two letters picked without replacement from jljlglclcdj. What is prob of sequence jd? 3/110 Three letters picked without replacement from iwwcibbr. What is prob of sequence bir? 1/84 Calculate prob of sequence wjwe when four letters picked without replacement from lwjeeeeeeeeelelweeej. 13/29070 Two letters picked without replacement from {o: 7, b: 1, u: 1, v: 5}. Give prob of sequence bv. 5/182 Two letters picked without replacement from piaidpcapcaaazi. Give prob of sequence ca. 1/21 What is prob of sequence kgh when three letters picked without replacement from {t: 6, h: 4, a: 3, k: 1, d: 1, g: 1}? 1/840 Calculate prob of sequence aura when four letters picked without replacement from {b: 5, u: 3, r: 1, a: 7}. 3/1040 Calculate prob of sequence ie when two letters picked without replacement from iiiieiieiei. 12/55 Two letters picked without replacement from {e: 11, a: 7, o: 2}. Give prob of sequence ae. 77/380 What is prob of sequence cm when two letters picked without replacement from mbmfvcgv? 1/28 What is prob of sequence xx when two letters picked without replacement from {y: 1, s: 1, x: 3, d: 2}? 1/7 What is prob of sequence eee when three letters picked without replacement from {g: 1, e: 7, t: 1, j: 2, h: 6}? 7/136 What is prob of sequence cc when two letters picked without replacement from {y: 1, c: 2}? 1/3 Two letters picked without replacement from {l: 5, u: 1, w: 5, f: 5}. What is prob of sequence lu? 1/48 Three letters picked without replacement from {f: 1, o: 7}. What is prob of sequence oof? 1/8 Four letters picked without replacement from {m: 1, r: 4, f: 1, z: 1, x: 5}. What is prob of sequence mxxz? 1/594 Calculate prob of sequence om when two letters picked without replacement from {g: 7, m: 2, o: 3}. 1/22 Four letters picked without replacement from vyysrszvsvyvzvsssrsy. Give prob of sequence rsvy. 7/2907 Three letters picked without replacement from {g: 1, h: 2, t: 1}. Give prob of sequence hgg. 0 Three letters picked without replacement from {u: 3, r: 3}. What is prob of sequence urr? 3/20 Three letters picked without replacement from {t: 1, n: 3, q: 1, l: 2, z: 5}. What is prob of sequence tll? 1/660 What is prob of sequence xxux when four letters picked without replacement from uuuxuuuxxx? 1/35 What is prob of sequence nx when two letters picked without replacement from {n: 1, w: 2, x: 1, l: 1, q: 1, p: 1}? 1/42 Three letters picked without replacement from {u: 2, s: 4, e: 2, k: 4}. Give prob of sequence uek. 2/165 What is prob of sequence avoq when four letters picked without replacement from qtvvvvvqtavqota? 1/910 Four letters picked without replacement from rjdjjqjzuqjjjjzqjjj. What is prob of sequence qjjq? 55/7752 Calculate prob of sequence ur when two letters picked without replacement from qddluddddldddqlrd. 1/272 Two letters picked without replacement from {a: 2, y: 1, l: 1, p: 11, k: 4}. Give prob of sequence ap. 11/171 What is prob of sequence llh when three letters picked without replacement from {l: 3, n: 1, k: 2, h: 1, w: 4}? 1/165 Two letters picked without replacement from {x: 1, n: 1, u: 2, i: 1, z: 1, e: 2}. What is prob of sequence ue? 1/14 Two letters picked without replacement from {j: 3, x: 2, l: 8, z: 2}. What is prob of sequence lx? 8/105 Calculate prob of sequence knkn when four letters picked without replacement from {k: 3, w: 7, n: 3}. 3/1430 Two letters picked without replacement from zchz. Give prob of sequence ch. 1/12 Calculate prob of sequence hvdd when four letters picked without replacement from vdpdhpee. 1/840 Four letters picked without replacement from {w: 3, m: 3}. What is prob of sequence wwmm? 1/10 Two letters picked without replacement from {c: 1, o: 2, i: 1, x: 3}. Give prob of sequence xo. 1/7 What is prob of sequence tv when two letters picked without replacement from {t: 1, v: 2}? 1/3 What is prob of sequence sss when three letters picked without replacement from {o: 1, s: 12}? 10/13 Calculate prob of sequence gg when two letters picked without replacement from gqpqqqqgp. 1/36 Three letters picked without replacement from {f: 4, n: 7, t: 3, m: 5}. What is prob of sequence tnf? 14/969 What is prob of sequence gr when two letters picked without replacement from sggqqsoqorqrrtoooqqo? 3/190 Calculate prob of sequence lwl when three letters picked without replacement from iillliiiwwiwiwii. 1/140 Two letters picked without replacement from ccppcfpvcc. What is prob of sequence vp? 1/30 Calculate prob of sequence zgve when four letters picked without replacement from {z: 1, e: 1, x: 6, v: 3, g: 6}. 3/9520 Three letters picked without replacement from {k: 8, u: 5, e: 2, n: 2}. What is prob of sequence kne? 2/255 Calculate prob of sequence aat when three letters picked without replacement from zxazxxaxxtzazxtaxta. 10/969 What is prob of sequence zjo when three letters picked without replacement from {o: 2, z: 6, j: 4, b: 3, r: 3}? 1/102 Four letters picked without replacement from izmmiiiimmn. Give prob of sequence znmz. 0 Two letters picked without replacement from exmhmeomeexe. Give prob of sequence ox. 1/66 Calculate prob of sequence jf when two letters picked without replacement from bfbbfjjjbjb. 4/55 Four letters picked without replacement from {z: 2, s: 2, n: 5}. What is prob of sequence zssz? 1/756 Four letters picked without replacement from rrrrrsrsxrrsrrr. Give prob of sequence srss. 11/5460 Calculate prob of sequence phzc when four letters picked without replacement from uuzpuchhuhuuhkkh. 1/8736 Three letters picked without replacement from qqbqxnt. Give prob of sequence bqx. 1/70 Three letters picked without replacement from {n: 5, h: 3}. What is prob of sequence hhh? 1/56 What is prob of sequence lh when two letters picked without replacement from {h: 1, u: 10, k: 2, j: 1, l: 3}? 3/272 What is prob of sequence ftm when three letters picked without replacement from mftovtfmfofm? 1/55 Two letters picked without replacement from ggaagagagaaa. What is prob of sequence ga? 35/132 Two letters picked without replacement from psk. What is prob of sequence kp? 1/6 Two letters picked without replacement from hkhkhh. What is prob of sequence kk? 1/15 Two letters picked without replacement from ssosutottssottoukot. Give prob of sequence su. 5/171 What is prob of sequence vcc when three letters picked without replacement from cvec? 1/12 What is prob of sequence qlmn when four letters picked without replacement from {q: 5, l: 1, n: 3, i: 5, m: 6}? 1/1292 Four letters picked without replacement from {h: 5, g: 4, m: 1, z: 3, a: 1, u: 1}. Give prob of sequence ahug. 1/1638 What is prob of sequence rr when two letters picked without replacement from tbbrrtrrytb? 6/55 Four letters pi
{ "pile_set_name": "DM Mathematics" }
847690 What is the smallest common multiple of 2840 and 288? 102240 Calculate the lowest common multiple of 54 and 15840. 47520 What is the least common multiple of 23138 and 115690? 115690 What is the common denominator of 47/2131482 and 149/6? 2131482 Calculate the lowest common multiple of 63 and 44520. 133560 Find the common denominator of -151/17580 and 17/158220. 158220 What is the lowest common multiple of 2079 and 7938? 87318 What is the common denominator of -53/322 and 50/13027? 599242 What is the common denominator of 45/30448 and -89/133210? 1065680 Calculate the lowest common multiple of 1425 and 202635. 1013175 Find the common denominator of -47/3606 and 83/276. 165876 What is the common denominator of -1/224 and -18/479? 107296 Calculate the smallest common multiple of 11640 and 80. 23280 What is the smallest common multiple of 4096 and 8192? 8192 What is the lowest common multiple of 406 and 66178? 66178 What is the common denominator of 73/682 and 161/28458? 313038 What is the smallest common multiple of 15912 and 9945? 79560 Calculate the least common multiple of 28 and 40488. 40488 Calculate the common denominator of -89/979998 and 83/8. 3919992 Calculate the smallest common multiple of 395528 and 56504. 395528 Calculate the common denominator of -89/748 and 16/6545. 26180 Find the common denominator of 21/964 and -83/1063774. 2127548 What is the lowest common multiple of 7636 and 322? 53452 What is the common denominator of 127/14418 and 115/4806? 14418 Calculate the common denominator of 127/230 and 89/210. 4830 Find the common denominator of 53/1692 and -67/741. 417924 What is the lowest common multiple of 27828 and 4638? 27828 Calculate the lowest common multiple of 710952 and 2. 710952 Calculate the common denominator of -4/168207 and 95/1816. 1345656 Find the common denominator of 9/14276 and -30/1577. 271244 Calculate the lowest common multiple of 11772 and 218. 11772 Find the common denominator of -109/22344 and 80/9177. 513912 Calculate the common denominator of 7/107572 and -145/6. 322716 What is the common denominator of 19/444160 and -97/222080? 444160 Calculate the smallest common multiple of 33992 and 178458. 713832 Find the common denominator of 169/820020 and 119/15800. 8200200 What is the lowest common multiple of 30960 and 26316? 526320 Calculate the common denominator of -93/9352 and 19/42. 28056 Find the common denominator of 31/10 and -41/694938. 3474690 Calculate the common denominator of -81/40720 and 149/171024. 855120 What is the common denominator of -49/3132 and 37/332? 259956 Calculate the smallest common multiple of 44 and 12192. 134112 Calculate the common denominator of 71/6744 and 67/272. 229296 Calculate the least common multiple of 1800 and 8400. 25200 Calculate the lowest common multiple of 417096 and 60. 2085480 What is the common denominator of 58/333 and 67/94498? 850482 What is the common denominator of -33/50 and 127/11020? 55100 What is the common denominator of -109/6968 and 33/130? 34840 Calculate the smallest common multiple of 10024 and 115276. 230552 What is the common denominator of -67/105 and -121/140? 420 Find the common denominator of 19/92 and -1/32900. 756700 Calculate the least common multiple of 8 and 18140. 36280 What is the common denominator of 71/36 and -119/900? 900 What is the least common multiple of 502328 and 627910? 2511640 Find the common denominator of -46/675955 and -50/7. 675955 Find the common denominator of -74/6171 and -61/4488. 49368 Calculate the common denominator of 46/464325 and 11/12300. 1857300 Calculate the lowest common multiple of 83984 and 26064. 755856 Find the common denominator of -14/909 and 41/106555. 958995 Calculate the lowest common multiple of 88 and 4812. 105864 Find the common denominator of 31/41871 and -79/33. 460581 What is the common denominator of -113/18666 and -109/49776? 149328 What is the least common multiple of 191 and 201? 38391 Calculate the common denominator of -7/129996 and -25/33912. 779976 What is the common denominator of -9/326194 and -17/1067544? 11742984 Calculate the least common multiple of 294680 and 20. 294680 What is the least common multiple of 418 and 3344? 3344 Find the common denominator of -51/17080 and 143/24. 51240 What is the least common multiple of 18800 and 11750? 94000 What is the least common multiple of 690 and 2162? 32430 What is the least common multiple of 438458 and 6? 1315374 What is the smallest common multiple of 6783 and 2838? 6416718 Calculate the common denominator of -139/135258 and -61/30. 676290 What is the smallest common multiple of 1500 and 1577? 2365500 Calculate the common denominator of 64/283287 and 31/2670. 2832870 What is the common denominator of 211/60720 and -41/726? 667920 Calculate the lowest common multiple of 108 and 354213. 1416852 Calculate the smallest common multiple of 48792 and 24396. 48792 Calculate the lowest common multiple of 11232 and 134784. 134784 Find the common denominator of 93/11186 and -26/29563. 413882 Find the common denominator of -59/22550 and 115/8118. 202950 Find the common denominator of -131/68484 and 17/72. 410904 Calculate the least common multiple of 50 and 2722. 68050 What is the least common multiple of 1397944 and 136? 1397944 What is the lowest common multiple of 13338 and 1102? 386802 Calculate the common denominator of -145/8208 and 97/184224. 1658016 Calculate the least common multiple of 45448 and 90896. 90896 Calculate the common denominator of -49/40752 and 67/91692. 366768 What is the smallest common multiple of 97 and 9? 873 Calculate the smallest common multiple of 3288 and 1088. 447168 What is the common denominator of 43/9802 and -12/8281? 480298 Calculate the lowest common multiple of 29540 and 20. 29540 Calculate the smallest common multiple of 6 and 1026166. 3078498 Find the common denominator of -65/1296 and -179/1440. 12960 What is the smallest common multiple of 99666 and 531552? 1594656 Find the common denominator of 31/262108 and 49/16. 1048432 Calculate the least common multiple of 20 and 468. 2340 Calculate the least common multiple of 719325 and 50. 1438650 What is the lowest common multiple of 50 and 630? 3150 Find the common denominator of -11/192 and -31/2580. 41280 What is the common denominator of 109/233170 and 47/160? 3730720 Calculate the common denominator of 145/5424 and 137/2208. 249504 Find the common denominator of -121/23184 and 3/18032. 162288 What is the common denominator of -83/9840 and 11/2936? 3611280 What is the least common multiple of 12670 and 13575? 190050 Calculate the common denominator of -107/28 and 83/21480. 150360 Calculate the smallest common multiple of 1722 and 3654. 149814 What is the least common multiple of 16 and 61782? 494256 Calculate the common denominator of -47/34110 and -19/15918. 238770 What is the least common multiple of 4168 and 60? 62520 Find the common denominator of -157/46998 and -53/17904. 375984 What is the common denominator of -2/315 and 157/10710? 10710 Calculate the lowest common multiple of 2784 and 1276. 30624 Calculate the common denominator of 83/126 and 55/90223. 1624014 What is the smallest common multiple of 1188 and 7128? 7128 Calculate the least common multiple of 20020 and 30940. 340340 What is the common denominator of 8/3289 and -71/136045? 1496495 Calculate the common denominator of 133/10270 and 71/790. 10270 Find the common denominator of 55/37852 and -79/170334. 340668 Calculate the common denominator of 55/127491 and -109/728. 1019928 Calculate the lowest common multiple of 15598 and 72318. 795498 What is the lowest common multiple of 6972 and 16? 27888 Calculate the common denominator of -107/129588 and 1/8. 259176 Calculate the least common multiple of 814122 and 1. 814122 What is the least common multiple of 45288 and 130832? 1177488 Calculate the common denominator of -8/555 and -97/1575. 58275 What is the common denominator of 51/8854 and 113/10? 44270 Calculate the common denominator of 137/11376 and 59/28. 79632 What is the common denominator of -103/11010 and 1/147534? 737670 Calculate the lowest common multiple of 17828 and 44. 196108 Find the common denominator of -55/12732 and 111/940. 2992020 What is the common denomina
{ "pile_set_name": "DM Mathematics" }
, 2? 3 Let f(o) = -o**3 - 40*o**2 - 64*o + 457. Let u be f(-38). Which is the closest to u? (a) 1 (b) -1/2 (c) -1 a Let r(h) be the first derivative of h**4/4 - 4*h**3/3 - 3*h**2/2 + 2*h - 91. Let a be r(5). Let p = -2 - 0. What is the closest to 1/2 in p, 4, a? p Let k = -0.9775 + 5.9775. Which is the nearest to 1? (a) 3 (b) 1/2 (c) k (d) -5/6 b Let q = 55 + -55.2. Let l = 403 + -403.1. What is the nearest to -1/2 in 0.2, q, l? q Let i = -0.0635 - -1.4635. Which is the closest to 6? (a) -3 (b) 6/7 (c) i c Let l = -2114 - -10571/5. Let v be (-3)/((-5)/4 - -2). Let o be -2 + (-3)/v + 1. What is the closest to -1 in o, -0.3, l? -0.3 Let n = 44.4 + -60.4. Which is the closest to 10? (a) -1/4 (b) n (c) 4 c Let g = 87987.3 - 87987. Let h = -53/296 - -2/37. Which is the closest to -0.2? (a) h (b) 3/5 (c) g (d) -4 a Suppose 4*i - 827*g + 823*g + 8 = 0, -2*g = 5*i - 11. Let f = -78 + 158. Let v be 2/f + 2/(-5). Which is the closest to -2/5? (a) -1/8 (b) i (c) v c Let m = -130 - -130.5. Let o(h) = -8*h + 99. Let x be o(12). What is the closest to x in 3, m, -4/5? 3 Let o = 1.0534 - 4.0534. Which is the closest to 41? (a) o (b) -4 (c) 5 c Let o be 1/(-30) + 1*(-4)/24. Let j = 616/6213 - -2/327. Which is the closest to j? (a) 0.1 (b) o (c) 0.07 a Let l = -69 + 74. Let s = 3719 + -3712.9. Which is the closest to s? (a) l (b) 0.3 (c) -2/9 a Let u = 3304 - 3287. What is the nearest to 2 in 2, 1, u, 4? 2 Let q be (40/138)/((-398)/(-1791)). Which is the closest to 1/3? (a) q (b) 2/35 (c) -1 (d) -3 b Let n be 438/(-110) + (-16)/(-88) + 3. Let r = -1.4 - -1.5. Which is the closest to r? (a) 0.11 (b) n (c) -3 a Suppose -5*j + 2 = 480*j + 2. Suppose -4*a - 1 = -21. What is the nearest to a in j, 0.6, -3, 5? 5 Let h = -19.99 - -20.39. Which is the nearest to -2? (a) 6 (b) h (c) -33 (d) -0.5 d Let q(o) = -4*o + 21 - 15 - 20. Let r be q(9). Let k = -54 - r. Which is the closest to -0.2? (a) -0.1 (b) k (c) -2 a Let n = -22.242 + 22.275. Which is the closest to 9? (a) 4 (b) 0 (c) n (d) -1/3 a Let x = 14524 + -14523. What is the nearest to -4 in x, -2, -0.043? -2 Suppose 6*a - a = 5*s - 5, 0 = 4*a + 3*s + 32. Suppose -4*r = -0 + 8. Let j be 24/20 + 96/(-105). What is the nearest to r in j, a, -0.1? -0.1 Let b = -0.2443 + 0.1743. What is the nearest to -20 in b, 0.2, 2/7? b Let t = -9868.2 + 9895. Which is the nearest to 0? (a) -0.3 (b) -1 (c) t a Let y = -0.573 - -1.073. Let q = -3/65 - 7/65. Which is the closest to -5.3? (a) y (b) q (c) 0.4 b Suppose 5*o = -7*g + 4*g - 300, o = -4*g - 43. Let q be 132/o - 2/(-1). Let m be 208/660 - 14/105. Which is the closest to 1? (a) m (b) 1 (c) q b Let u = 204 - 204. Which is the nearest to u? (a) 0.5 (b) 3/7 (c) -0.4 (d) 17 c Let z be ((-5)/10 - 2)*-1. What is the closest to 2/13 in z, -0.4, 95, 0? 0 Suppose 0 = -693*m + 691*m - 4. Which is the nearest to 0? (a) 3 (b) -5 (c) 5.2 (d) m d Let n = -0.03 - 0.07. Let b be -215 + 212 - 2*1. Let d = 1.2 - -1.8. What is the nearest to n in 0, b, d? 0 Let b = -0.05261 - -45.18261. Let w = b + -0.13. Let z = -46 + w. What is the closest to -0.1 in -0.2, z, -0.4? -0.2 Let b = 0.58 + -0.38. What is the closest to b in 1, 0.2, -2, 1/3? 0.2 Let m be ((-35862)/(-430))/(3/17). Let o = 472 - m. What is the closest to -1/4 in 3, 1, 9, o? o Let n = -2.5 - 0.5. Let m = -30.691 + 0.191. Let z = -30.5 - m. Which is the nearest to -1/4? (a) z (b) n (c) 0.2 a Let o(q) = 5*q**3 + 2*q**2 - 1. Let r be o(1). Let u be (8 - r) + -4 + 1. Let y be (-3)/(-6)*(1 - 16/(-4)). Which is the closest to y? (a) 4 (b) -3 (c) u a Let r = -2.1 + 2. Suppose -4*y - 41*p + 16 = -45*p, 0 = 4*p + 8. Which is the nearest to y? (a) r (b) -0.3 (c) 15 a Suppose z - 182 = 4*t, 82 = -2*t + 3*z + 2*z. Let l be (-6)/(-21) + t/14. Let d = 0.05125 + 26.94875. What is the nearest to 0 in 1, d, l? 1 Let y = -14360 + 14365. What is the closest to 2/21 in -2, 119, -0.2, y? -0.2 Let h = 2223 + -2226. Which is the nearest to -1? (a) -2/11 (b) -0.05 (c) h (d) 12 a Let f(p) = -48*p + 336. Let g be f(7). Which is the nearest to -0.066? (a) 0.1 (b) g (c) -0.3 (d) 1 b Let g = 36.93 + -36.63. Which is the nearest to 49? (a) 0.1 (b) 3 (c) g (d) 3/4 b Let g(f) = -f - 5. Let l be g(-5). Let v = -2408 - -2407.5. Let b = -0.5 - -0.52. What is the nearest to -0.1 in v, l, b? l Let g = 2174 - 2169. Which is the nearest to -93? (a) g (b) 4 (c) 0.3 c Let n = 6890 - 6891. Which is the closest to -2? (a) 0.3 (b) -89 (c) -1/4 (d) n d Suppose s + 4*s - 10 = 0. Let p = 585 - 585.053. Which is the nearest to 1? (a) s (b) -1/6 (c) p a Let w = 812 + -812.4. Which is the closest to 0.31? (a) w (b) -1 (c) -5 a Let m = 3.96 + 0.04. Let u = 9 - m. Let l be (11*(-6)/(-66))/(-3). What is the nearest to l in 2/7, -0.2, u? -0.2 Let i = -4675 + 32724/7. What is the closest to -1/4 in 50, 2/19, -2/13, i? -2/13 Let p = -10622 - -10620. Which is the closest to p? (a) 1/2 (b) -3 (c) 126 b Let x = 7325/3 + -2408. Let r = x + -33. Let s = 21 - 20. Which is the nearest to 1/4? (a) r (b) 1/2 (c) s b Let s = -119/445 - -6/89. Let f = 24.5 - 25. Let x = -1 + -4. Which is the nearest to 0.11? (a) f (b) s (c) x b Let m = 53592.9 + -53593. Let i = 0.4 + -0.57. What is the nearest to 3 in -1, i, m, 0? 0 Let q be 5/(275/(-10)) + 48/(-220). Let i = -1.391 + -0.609. Which is the nearest to i? (a) 8 (b) -3/2 (c) q b Let y = 691/5 - 688/5. Which is the nearest to y? (a) 2 (b) 1/6 (c) -3/2 b Let k = -371 - -370. Let f be (k/3)/((-90)/54). What is the closest to -0.02 in f, 5, 4? f Let v = 524 + -527. Let g = 4.5 - 4.4. Let p = g + -0.1. Which is the closest to v? (a) p (b) 4 (c) 1/6 a Let r = -655 + 4584/7. Let y be (-3)/(-18)*-1 + 115/(-30). What is the closest to -2 in y, r, -2/3, 4? -2/3 Let o = -4.3 - -4.3. Let h(n) = 4*n - 63. Let j be h(17). Which is the closest to o? (a) -5/4 (b) j (c) 2/7 c Let j = 9256 + -9233. Which is the closest to j? (a) -3 (b) -1 (c) 1 (d) -10 c Let l = -421/117 - -95/26. Which is the closest to 12? (a) l (b) -0.5 (c) 2/5 c Let x be ((-4)/(-50))/(32/(-210) + (-65)/1365). Which is the closest to x? (a) 13 (b) 0.06 (c) 3 b Let k = 0.38 + -0.08. Let x be (-10)/(-16)*(-10)/(-25). Let h(o) = 724*o - 5792. Let p be h(8). Which is the nearest to p? (a) -1 (b) k (c) x c Let k = -3842.7 + 3843. Let g = 0.22 - 0.22. What is the closest to 1 in 1/2, -0.1, k, g? 1/2 Let k = -2.7 + 2.42. Let i = -4.08 - k. Let g = i - -3.6. What is the nearest to 3 in 3/4, -0.5, g? 3/4 Let h be -17 + 7 - 63/54*-6. Let l = 1.1 - 6.1. Which is the closest to 5? (a) 2/7 (b) 0 (c) h (d) l a Let y = 7105.2 + -7105. Which is the nearest to 1? (a) -0.648 (b) 0.1 (c) y (d) 2 c Suppose 3*j + 158 = -13*w + 9*w, 5*w + 163 = -3*j. What is the closest to 0.1 in -2, j, 2, 0? 0 Let g(f) = -f**2 + 36*f + 39. Let x be g(-1). Which is the closest to x? (a) -3 (b) -33 (c) -2 c Let f = 0.111 - 0.011. Let i = 1.1 + 5.9. Let y = -7 + i. What is the nearest to y in f, 5, -0.2? f Let g = -458 + 1373/3. Let y = 13 - 9. Suppose y*t = -0*t - 20. Which is the nearest to g? (a) 1 (b) 2 (c) t a Let k be -12*((-37)/(-74) + 0 + 7). Let j be (802/k - -9) + (-4)/(-9). What is the closest to -1 in -1/3, j, 0.3, -1/2? -1/2 Suppose -16 = 6*b - 4*b. Let j be 948/(-2016) - 3/b. What is the closest to 27 in j, -1, 4? 4 Let j = -12.66 - -27.66. What is the nearest to 0.1 in -2, 1, j, 3? 1 Let u be 14/10 - (-43)/1290*-54. Which is the nearest to -2/9? (a) -3.05 (b) 3 (c) u c Let x be 13/(390/20)*6/26. Let u = -20 + 3. Let o = u + 22. Which is the closest to -3? (a) 2 (b) o (c) x c Suppose -597*v - 5*u - 147 = -601*v, -4*u + 42 = v. Let w = -44/3 - -15. Let g be (-2)/(-2)*2/(-12). What is the nearest to v in 0, w, g? w Let k be 3*4/54*(-621)/(-46). What is the nearest to -3/11 in -46, -4, k? k Let q = -0.07 - 2.93. Suppose 0 = -10*h - 7 + 277. Suppose h*l + 55 = 16*l. Which is the closest to 1? (a) 1 (b) l (c) q a Let y(a) = -a**3 + a**2 + 2*a + 11. Let z be y(3). Suppose 2*s = -0*t - 5*t + 25, 5*s - 5*t = -25. What is the closest to s in 3/14, z, -3? 3/14 Let p = 1058 + -1026. Let v be (p/(-280))/(18/15)*-7. Which is the closest to 4? (a) v (b) -3 (c) 4 c Let i(t) = -25*t**
{ "pile_set_name": "DM Mathematics" }
r + 10*r**2 + 5224675*r. 10*r**2 Collect the terms in 3*s + 42 + 66 + 41 - 194 + 41. 3*s - 4 Collect the terms in 181*h - 184*h + 174 - 174. -3*h Collect the terms in 22*d**3 + 7*d**3 - 5*d**3 + 12*d**3 - 62*d**3. -26*d**3 Collect the terms in -4078*h + 3*h**3 - h**3 + 0*h**3. 2*h**3 - 4078*h Collect the terms in -13101697 + 13101697 + 12*h. 12*h Collect the terms in 2 - 5 - 5037*x - 5036*x + 10075*x + 3. 2*x Collect the terms in -3391*j + 43*j - 599*j. -3947*j Collect the terms in -2*v**2 + 86*v**3 + 32*v**3 - 613*v**3 - 492*v**3. -987*v**3 - 2*v**2 Collect the terms in 3 - 3 + 0 + 37629*t. 37629*t Collect the terms in -19*t + 10 - 3*t**2 + 31 + 31*t. -3*t**2 + 12*t + 41 Collect the terms in 42*m - 42*m - 3782*m**2. -3782*m**2 Collect the terms in -25*c - 21*c - 29*c + 95*c - 21*c. -c Collect the terms in -6*s**2 - 9190*s + 52*s**2 + 9190*s + 25*s**2. 71*s**2 Collect the terms in 404*s**2 - 154*s**2 - 249*s**2. s**2 Collect the terms in -35 - 50*p**3 + 339 - 304. -50*p**3 Collect the terms in -12*c**2 + 15*c**2 - 60*c**3 - 2*c - 2*c**2 + 2*c. -60*c**3 + c**2 Collect the terms in -77 + 2*t - 65 + 156. 2*t + 14 Collect the terms in 3*t**2 - 331 - 2*t**2 + 355. t**2 + 24 Collect the terms in -13*w**2 - 2106*w**2 + 509*w**2 - 2483*w**2. -4093*w**2 Collect the terms in 223*o**3 + 954*o**3 + 1210*o**3. 2387*o**3 Collect the terms in -97*m**2 + 9656*m - 2*m**3 - 9656*m. -2*m**3 - 97*m**2 Collect the terms in 1013*j**3 + 26 - 2030*j**3 - 26 + 1007*j**3. -10*j**3 Collect the terms in 3539*c + 278*c + 4533*c. 8350*c Collect the terms in 161*x - 67*x - 63*x - 31*x - x**3. -x**3 Collect the terms in -25*p**2 - 24*p**2 + 110*p**2 - 28*p**2 - 26*p**2 - 5*p**2. 2*p**2 Collect the terms in 6994 + 6994 - 13988 + 6*h. 6*h Collect the terms in -77*c - 76*c + 121*c + 34*c. 2*c Collect the terms in -323*u**3 + 111*u**3 + 100*u**3 + 101*u**3. -11*u**3 Collect the terms in 8*w + 19*w**3 + 8*w - 6*w. 19*w**3 + 10*w Collect the terms in -39*x**2 + 88*x - 156*x + 80*x. -39*x**2 + 12*x Collect the terms in -117*g - 72*g + 185*g. -4*g Collect the terms in 3913 - 1303 - 2*k - 1304 - 1306. -2*k Collect the terms in -127152937 + 26*s**2 + 127152937. 26*s**2 Collect the terms in -22 - 75 + 247*q**3 - 245*q**3. 2*q**3 - 97 Collect the terms in 253675*p**3 - 507303*p**3 + 253667*p**3. 39*p**3 Collect the terms in -19467 + 42*l**3 + 19467. 42*l**3 Collect the terms in 183 - 534 + 175 + 176 + 356*k. 356*k Collect the terms in 4 + 511621*r - 511621*r - 3*r**3 - 3. -3*r**3 + 1 Collect the terms in v**3 + 7 - 49 - 24*v**2 + 2*v**2. v**3 - 22*v**2 - 42 Collect the terms in -267*s - 16*s**3 + 266*s + 6*s**3 - 6*s**3. -16*s**3 - s Collect the terms in 41775*d**2 - 83570*d**2 + 41793*d**2. -2*d**2 Collect the terms in -8308 + 2361 - 2*t**3 + 5947. -2*t**3 Collect the terms in -10*j**3 - 1329*j**2 + 661*j**2 + 668*j**2 - 10*j**3. -20*j**3 Collect the terms in 105 + b**2 + 0*b**3 - 4162*b + 4162*b + b**3 - 4*b**3. -3*b**3 + b**2 + 105 Collect the terms in -14*s**2 + 72*s**2 + s**3 - 10 - 58*s**2. s**3 - 10 Collect the terms in -834*g - 880*g + 2*g**3 + 1714*g + 0*g**3. 2*g**3 Collect the terms in 669*o**2 + 772*o**2 - 1443*o**2. -2*o**2 Collect the terms in 52*f + 3*f + 37*f + 31*f. 123*f Collect the terms in g**2 + 131 + 0*g**2 - 159. g**2 - 28 Collect the terms in -334*n**3 + 2*n**2 - 158*n + 158*n. -334*n**3 + 2*n**2 Collect the terms in 292 - 882 + 291 - 4*q**2 + 18*q**2 + 299. 14*q**2 Collect the terms in 857 + 867 + 24*v - 2589 - v + 865. 23*v Collect the terms in -2795*s - 1469*s - 3130*s + 658*s. -6736*s Collect the terms in 635*g**3 + 632*g**3 + 7*g - 1256*g**3. 11*g**3 + 7*g Collect the terms in 260 - 7*w**3 + 248 - 754 + 4*w**3 + 246. -3*w**3 Collect the terms in 0*i - 5559 + 5511 - 2*i. -2*i - 48 Collect the terms in 277*d - 272*d + 78 - 171 + 86. 5*d - 7 Collect the terms in 2*l - 2*l + 235590767*l**2 - 235590768*l**2. -l**2 Collect the terms in -207 - 6*t**3 + 70 + 65 + 72. -6*t**3 Collect the terms in 0 - 282333391*n + 2 + 282333391*n + 4*n**3 - 2. 4*n**3 Collect the terms in -5*w**3 - 6556853*w + 6556853*w. -5*w**3 Collect the terms in 14*s + 49*s + 61*s - 11*s. 113*s Collect the terms in 8*f + 18*f + 12*f + 16*f + 15*f - 62*f. 7*f Collect the terms in -321 + 174 + 175 - 5*f. -5*f + 28 Collect the terms in 20*i - 5 + 2 + 2 + 59*i. 79*i - 1 Collect the terms in -12 + 1011*c**2 - 1024*c**2 + 2 + 10. -13*c**2 Collect the terms in 52 + 23*v - 55*v + 15*v + 16*v. -v + 52 Collect the terms in -2 - 615*l + 390*l + 239*l. 14*l - 2 Collect the terms in -8*s + 528 - 581 + 4*s. -4*s - 53 Collect the terms in 0*d**2 + 90855*d**3 + 4*d**2 - 90763*d**3 - 4*d**2. 92*d**3 Collect the terms in -22*j**2 + 51*j**2 + j - 3*j**3 - 29*j**2. -3*j**3 + j Collect the terms in 4 + 7587138*a - 7587138*a + 2*a**2 + 4 - 8. 2*a**2 Collect the terms in -11*s + 1575 + 1589 - 3164. -11*s Collect the terms in 268*h - 51*h - 2 - 164*h. 53*h - 2 Collect the terms in 32*a**2 + 1042*a**3 - 17*a**2 - 15*a**2. 1042*a**3 Collect the terms in -83*z - 25*z - 39 - 3 + 109*z. z - 42 Collect the terms in 0*s**2 + 14006542 + 2*s**3 - s**2 + s**2 - 14006542. 2*s**3 Collect the terms in -159*b**2 - 56*b**2 - 8*b**2 - 202*b**2 + 19*b**2. -406*b**2 Collect the terms in -73182 - 7*f**3 - 11*f**3 + 73182. -18*f**3 Collect the terms in 2*n**2 - 462879*n + 462879*n - 4*n**3. -4*n**3 + 2*n**2 Collect the terms in -36555694*q + 2*q**2 + 36555694*q. 2*q**2 Collect the terms in -22337*s + 4*s**2 + 107 + 22337*s. 4*s**2 + 107 Collect the terms in -213*q + 182*q + 1 + 102*q - 1. 71*q Collect the terms in -648*y + 7*y**3 - 7 + 0*y**3 + 648*y - 3*y**2. 7*y**3 - 3*y**2 - 7 Collect the terms in -678*a - 715*a - 641*a + 2123*a. 89*a Collect the terms in -4*f + 16 - 1 + f + f - 51. -2*f - 36 Collect the terms in 529778956*o - 529778956*o + 3*o**3. 3*o**3 Collect the terms in 118*c**3 + 5297*c - 5297*c - 133*c**3. -15*c**3 Collect the terms in -409 - 167 + d + 9*d - 153. 10*d - 729 Collect the terms in 1987*m + 2705*m + 3743*m. 8435*m Collect the terms in -3*t**2 + 4*t**2 - 27*t - 6*t**2 - 164*t. -5*t**2 - 191*t Collect the terms in -3302*l + 1422*l + 1433*l. -447*l Collect the terms in -280*j**2 - 8*j + 26*j - 7*j - 11*j. -280*j**2 Collect the terms in 5273 - 52*x - 10550 + 5277. -52*x Collect the terms in 3 + 14348*l - 14348*l - 17*l**2 - 3*l**2. -20*l**2 + 3 Collect the terms in c**2 - 5*c**2 + c**2 + 13*c**2 + 25*c**2. 35*c**2 Collect the terms in -100*h**3 - 111*h**2 - 6*h**3 + 114*h**2. -106*h**3 + 3*h**2 Collect the terms in 262*h + 271*h + 264*h - 803*h. -6*h Collect the terms in -33*z**3 + 77 - 222 + 80 + 74. -33*z**3 + 9 Collect the terms in 45 - 45 + 167*x**2 + 72*x**2 - 50*x**2. 189*x**2 Collect the terms in -23655*i**3 + 1 - 1 + 23657*i**3. 2*i**3 Collect the terms in 226*l**2 - 255*l**2 - 363*l**2. -392*l**2 Collect the terms in 7459*z + 6440*z - 1581*z. 12318*z Collect the terms in 2*q + 931 + 825 - 1756. 2*q Collect the terms in 3081576*x + 3081583*x - 6163158*x. x Collect the terms in -9*i**2 - 45*i**2 - 10*i**2 + 5*i**2. -59*i**2 Collect the terms in 13*y - 1591 + 2*y - 4*y. 11*y - 1591 Collect the terms in 1828*p - 623*p - 616*p - 587*p. 2*p Collect the terms in -5 + 24*j + 17 - 14. 24*j - 2 Collect the terms in g**2 + 6*g + 68 + 8*g**2 - 2*g**2 - 2*g. 7*g**2 + 4*g + 68 Collect the terms in 766*c**3 - 5 - 251*c**3 - 264*c**3 - 261*c**3. -10*c**3 - 5 Collect the terms in b**2 - 31517*b + 0*b**2 - 2*b**2 - 61 + 31517*b. -b**2 - 61 Collect the terms in 2*l**2 - 715 + 4*l**2 + 1428 - 713 - 5*l**2. l**2 Collect the terms in -44155*d**2 + 0 + 2*d + 0. -44155*d**2 + 2*d Collect the terms in 0*q**2 - 169*q - 1562*q - 1 + 3*q**2. 3*q**2 - 1731*q - 1 Collect the terms in 3*x - 3*x**2 + 4*x**2 - 2291 - 2*x**2. -x**2 + 3*x - 2291 Collect the terms in -2551117 - 106*j**3 + 109*j**3 + 2551117. 3*j**3 Collect the terms in -8*q - 21 - 3*q + 22. -11*q + 1 Collect the terms in -4288 - 46*o**2 - 21*o**2 + 4288. -67*o**2 Collect the terms in -587 - x**3 - 2*x**2 - 601 + 1188. -x**3 - 2*x**2 Collect the terms in -38*u + 81*u + 7 - 22*u + 0 + 88*u. 109*u + 7 Collect the terms in -4 + 1 - 2*y**2 - 12 - 8 - y. -2*y**2 - y - 23 Collect the terms in -68707*m**2 + 2 + 68724*m**2 + 4 - 6. 17*m**2 Collect the terms in 29 + 31 + 22 + 8*o - 107
{ "pile_set_name": "DM Mathematics" }
est to q? (a) 4 (b) -0.5 (c) 14 c Let u = 25679/4 + -6420. What is the nearest to u in -0.4, 5, -1/29, -4? -0.4 Let m = -110 - 100. Let v = m + 210.5. What is the nearest to 0.1 in 4, v, -2? v Let z = 0.045 - -6.955. Let g = z - 7. Let i = 7.4 - 7.7. What is the closest to i in g, 5, -3? g Let i = 118 + 154. Let r = 271 - i. What is the nearest to r in 0.3, -1, 25? -1 Let a = 0.199 - 0.22. Let b = 45.979 - a. Let d = 46.3 - b. What is the nearest to d in 3, -2, -2/5? -2/5 Let r = 4.865 - 5.465. What is the closest to -2 in 1/2, 0.06, r? r Let w = 0.43494 + -0.13494. What is the closest to 23 in w, -2/7, -28? w Let t = 5796/14515 - -2/2903. Which is the closest to 2/7? (a) 2/3 (b) t (c) 5/46 b Let f be (21/15 - 1)/((-1952)/(-80) - 24). Let v = 12 + -12. Suppose -4*l + 17 - 5 = v. Which is the nearest to f? (a) l (b) -0.5 (c) -0.04 c Let q = -11096 - -110961/10. What is the closest to -0.3 in q, -6/11, -2, -6? -6/11 Let v = 23 - 17. Let n be v/9 + 6 + -6. Let w be (-2)/7 + (-1216)/(-532). Which is the closest to n? (a) -3/2 (b) 3 (c) w c Let h be (-27)/(-216)*4/(-2)*1. What is the nearest to -0.1 in h, 19, 1/7? h Let h be ((-1)/4)/((-2)/(-12)). Let i = -26335.5 + 26336. Which is the nearest to -5? (a) -0.3 (b) h (c) i (d) -5 d Let z = -499.9 + 498.9. What is the closest to 1.7 in -1.3, -4, 3/8, z? 3/8 Let b(a) = 0*a**3 - 3*a**3 + 6*a**2 + 2*a**3 - 4*a - 4. Let w be b(5). Let q = 24263 - 24268. What is the nearest to -1 in q, 5, w? w Let g = 6341 - 6342. What is the closest to g in -1/6, 0.36, 0.1? -1/6 Let k be (-11)/1 + (27 - 203)/(-22). Which is the nearest to -1? (a) k (b) 103 (c) -1/4 (d) -0.2 c Let h = 23/7 + -99/28. What is the closest to h in 0.5, 5, 6/11, 0.2? 0.2 Let z = 4 - 4. Let y = 0.6342 + -0.4342. Let q = -5.02 + 0.02. What is the nearest to y in z, 0.1, q? 0.1 Suppose 2*w - 4 = -0*p - 5*p, 0 = -3*w - 4*p + 6. Let k = 0.669 - 4.669. Which is the closest to 0.1? (a) -0.05 (b) k (c) 4 (d) w a Let b(t) = 2*t**2 - 31*t + 26. Let v be b(15). Let p be v/22 - (3 - 0). Let k = -194/3 - -64. What is the closest to k in -0.2, -2, p? -0.2 Let w = 5169 + -15511/3. Let r = -11 - -16. Which is the closest to w? (a) 7 (b) r (c) 0.5 (d) 2 c Let m = -66.82 + 66.52. Which is the nearest to 4/15? (a) -5 (b) 0.1 (c) 1 (d) m b Let l = -0.6669 + 4.6669. What is the nearest to l in -0.45, 2/7, -3/2? 2/7 Let k = -1.7 - -5.7. Let r = 122.9 + -136. Let l = 13.3 + r. Which is the closest to l? (a) k (b) 0 (c) 0.5 b Let m = 0.5 - 0.3. Let j = 61263 - 122527/2. Which is the nearest to m? (a) j (b) 3/11 (c) -2 b Let s = 10687/5 - 2137. Let k be (3 - 44/16)*5. Which is the nearest to s? (a) k (b) -7 (c) 0 c Let p = -8 - -4. Let x = -2679.8 - -2684.8. Which is the closest to 0? (a) 3/8 (b) 2/7 (c) p (d) x b Let o = -75741 + 75739. Suppose -6 = 2*f + 6. What is the nearest to f in 5, o, 1/2, 2? o Let s be (-9)/2 + (-77490)/(-16740). What is the nearest to s in -0.4, 0.1, -0.1, 0.2? 0.1 Let u be 11/44 + 15/4. Let o be 1/(6/u) - 96/36. Let l = 0.13 - -2.87. What is the closest to 0.1 in l, o, 0.3? 0.3 Let v = -5.95342 + -0.04658. Suppose 0 = -3*g + 137 - 29. Let i be 4/(-18) - 1/g. Which is the nearest to i? (a) 3 (b) 0.3 (c) v b Let l = 1 - 3. Let n = -217.5 + -2.7. Let x = n + 220. Which is the nearest to 0.1? (a) x (b) 0.2 (c) l b Suppose -26*h + 689 = -87 - 784. What is the nearest to h in 3, 2/25, -0.5? 3 Let l = 695 - 692. Which is the closest to 2? (a) 0.2 (b) 15/14 (c) 2/15 (d) l b Let j = 0.2 - 0.2. Let d(y) be the first derivative of y**3 - 59*y**2/2 - 25*y - 157. Let x be d(20). Which is the nearest to 0? (a) x (b) 3/5 (c) j c Let q = -2020 + 1172. Let p = q - -853. What is the nearest to 0.1 in 2/7, -29, p? 2/7 Let w = -2/16441 + -16437/32882. What is the nearest to 0 in w, 4, 0.62? w Suppose -8*y = -9*y + 3*s + 20, -25 = 5*s. Which is the nearest to 2/3? (a) -0.05 (b) 1/2 (c) -9 (d) y b Suppose 207*v = 1186 - 358. What is the closest to 1 in 2.8, 5, v, -0.1? -0.1 Let l be -17 + (-245)/(-14) + -2. Which is the closest to -1/2? (a) -0.5 (b) -10 (c) l a Let k be (-3)/5*4/12. Let w(q) = 2*q**3 + 11*q**2 - 14*q - 44. Let g be w(-6). Which is the nearest to 0? (a) k (b) g (c) -3 a Let n = -747/5 - -150. Let z = -4388.1 + 4388. Let o = 2/81 + -89/324. Which is the closest to o? (a) 1 (b) z (c) n b Let t = -239/48 - -245/48. Which is the closest to 0? (a) t (b) -0.5 (c) 1.81 a Let j = 203.751 - 197.9. Let h = 0.149 + j. Which is the nearest to h? (a) -0.1 (b) -0.5 (c) 0.3 c Let f be (-390)/(-104)*(-4)/(-6). Let n = -871/6 - -145. Which is the closest to -1? (a) -0.2 (b) f (c) n a Let n = 53 - 50. Let q be ((-14)/98)/((-14)/(-49)). Which is the nearest to -1? (a) 2 (b) 4 (c) q (d) n c Let k be 18/8*(-716)/(-537). What is the closest to -4 in -9, 5, k, -7? -7 Let m be 10 - 964/90 - 6/(-10). Let w = -0.54 + -1.47. Let b = -2 - w. What is the nearest to -0.1 in b, m, 2? m Let z = 4756 - 4757. Which is the nearest to -2/267? (a) z (b) -0.2 (c) 4 (d) 2/3 b Let n = -0.1 + -0.1. Let p = 373 - 769. Let z = 397 + p. Which is the nearest to z? (a) n (b) -0.07 (c) 3 b Let o = -7.5 + -30.7. Let k = 42.2 + o. What is the nearest to -3 in 0.07, -4, k? -4 Let h be (24/18)/(16/60). What is the nearest to 3 in h, -4, 2/53? h Let j = -1 + 1. Let n = 1.305 + -1.805. What is the closest to 5 in j, n, 1? 1 Let z = -3.988 - 0.012. Let h = 15.743 + -15.77. Which is the nearest to -2? (a) 2/11 (b) z (c) h (d) 2/9 c Suppose 57 = 3*r - 6*g, 2*r - g - 66 + 52 = 0. Let f = -4.94 + -0.06. Which is the nearest to 0? (a) -2/11 (b) 2/5 (c) f (d) r a Let t = 22442 - 22446. What is the closest to 1/12 in 42, -4/5, t, 2/5? 2/5 Suppose 8 = -3*h - 1. Let w be 11/4 - 1/12*h. Which is the closest to 0.08? (a) 4 (b) -8/7 (c) w b Let c = 811 - 1427. Let m = c + 616. What is the nearest to -1 in 0.1, -0.05, -1, m? -1 Let k = -0.3 + -0.7. Let p be 1/(-4) - (-1)/(-4). Let m = 252809 - 252808. Which is the closest to 2/5? (a) m (b) k (c) p a Let n = -9/421 + 457/1684. Which is the closest to 7? (a) 5 (b) -0.5 (c) n a Let r = -16.4 + -0.6. Let y = 12.074 + -11.574. Let j = -49 - -48.6. What is the nearest to r in -1/2, j, y? -1/2 Let y = -0.317 - -0.117. Let m = -0.2 - y. Which is the nearest to 1? (a) -4 (b) -0.208 (c) m c Let i = -12334 + 12335. Which is the closest to -0.069? (a) -1 (b) 2/11 (c) i b Let h = 0.14 + 0.06. Let x = 289/6 - 871/18. What is the nearest to x in -5, h, 1? h Let u = 3035 - 3056. Which is the nearest to -1? (a) -1/4 (b) 0.4 (c) u a Let s be (-20)/24*4/20. Let v = -0.0752 - -0.1752. Which is the nearest to v? (a) s (b) 2/65 (c) 0.3 b Let l = -13580 - -13568. Which is the nearest to -1/2? (a) l (b) -10 (c) 0 c Let o = -262 - -261.9. Suppose -2*k + 8 = 4*s, -7*s + 4*k = -3*s + 4. What is the nearest to o in -5, -13/2, s? s Let q = 221 - 223. Suppose -33*f = -29*f - 12. Which is the closest to q? (a) -15/7 (b) -2/5 (c) f a Let g = 0.4067 - -0.0933. What is the nearest to -5 in 0.2, g, -0.3, 4? -0.3 Let h = -66/499 - 404/4491. What is the nearest to 3/7 in -5, -25, h? h Let b = -27 - -27.6. Let s = b + 1.4. Let n = -2769 + 2794. What is the closest to n in -0.1, -1, s? s Suppose 5*n = -4*g - 53, -2*g + 5*n + 2 = 21. Let l = 37 + -37.2. Let d = 5.2 + l. What is the nearest to -2/5 in 0.5, d, g? 0.5 Let m = 429.7 + -429.5. Let f be 5/(-20) + (-1)/(-2). Which is the nearest to 0? (a) f (b) m (c) -2 (d) 0 d Let g = 3274 - 3277. What is the nearest to 0 in 2, 0.22, g? 0.22 Let n = -7628.5 - -7628. Let r = 6 - 5.93. What is the closest to 0 in 0.1, n, r? r Let p = 4025.5 - 4025. Which is the closest to -37? (a) p (b) -5 (c) 3/5 (d) 0.1 b Let p(g) = -g**3 - 11*g**2 - 15*g - 52. Let k be p(-10). Let f = -0.44 + 0.04. Let n(q) = q - 3. Let a be n(5). What is the closest to k in f, 5, a? f Let s = 124.09 + -124.19. What is the closest to -6 in 2/3, s, -0.2, -6/13? -6/13 Let f = 3.607 - -0.093. Let w = 101 + -105. Let d = w + f. What is the closest to -2 in 0, d, 1? d Let q = 169 + -302. Let t = 134 + q. Which is the closest to t? (a) 2 (b) 0.15 (c) -2 b Let l be (-270)/(-15) + (-3100)/175. Which is the nearest to -4? (a) 2/9 (b) l (c) 7 a Let l = 583 +
{ "pile_set_name": "DM Mathematics" }
4. Let m(l) = 5*l**2 + 3*l - 3. Let b = -12 - -16. Let w(d) = b*m(d) - 3*j(d). Let p(f) = f. Determine w(p(q)). 2*q**2 Let p(d) be the second derivative of 19*d**3/6 - 5*d - 52. Let b(m) = 31*m - 1. Calculate p(b(w)). 589*w - 19 Let z = 131 - 122. Let h(t) = 2*t - 4*t + 16*t - z*t. Let b(i) = -6*i. What is b(h(w))? -30*w Let m(o) = -16*o. Let a(w) = w**2 - 7*w + 13. Let h be a(6). Let d be -4*((-7)/2)/h. Let q(l) = d*l**2 - 2*l**2 + 3*l**2 - 2*l**2. Give m(q(x)). -16*x**2 Let a(w) = 13*w + 38*w - 84*w + 33*w - 9*w**2. Let b(u) be the third derivative of -u**5/20 - u**2. Give b(a(c)). -243*c**4 Let t(o) = -4*o**2. Let m(h) = -h**3 + 3*h**2 + 5*h + 2. Let a be m(-2). Let i = a + -10. Let k(c) = 2*c**2 + c**2 - i*c**2. Determine t(k(b)). -4*b**4 Let u(x) be the second derivative of -x**3/2 + x. Let l(k) be the third derivative of 0*k + 5*k**2 + 0*k**3 + 0 - 1/24*k**4. Calculate u(l(v)). 3*v Let x(y) = -2*y. Let g(c) be the third derivative of -c**5/20 - 185*c**2. Determine x(g(z)). 6*z**2 Suppose l + 3*l - 20 = 0. Let t(w) be the first derivative of -l*w**3 + w**3 - w**3 - 5 - w**3. Let n(h) = h. Calculate n(t(q)). -18*q**2 Let i(z) = z**2. Let d(t) be the first derivative of -21*t**2/2 - 2*t + 402. Calculate d(i(c)). -21*c**2 - 2 Let d(i) = 403*i - 205*i - 202*i. Let w(x) = 21*x. Calculate d(w(v)). -84*v Let f(r) = -4*r - 6. Let j be f(-2). Let k(n) = -54*n**j - 2 + 2 + 56*n**2. Let s(i) = 0 + 11*i + 0. Give k(s(x)). 242*x**2 Let w(r) = 6*r. Let q(i) = i. Let v(y) = 39*q(y) - 6*w(y). Let s(a) = -a**2 + 10*a + 3. Let m be s(10). Let u(h) = 3 + h - m. Calculate v(u(b)). 3*b Let s(x) = 18*x - 23*x - 27*x. Let m(n) = n - 1. Let d(w) = -10*w + 11. Let g(a) = 2*d(a) + 22*m(a). Determine s(g(t)). -64*t Let s(n) be the third derivative of 0*n**3 - 23*n**2 + 0*n**4 + 0*n + 1/60*n**5 + 0. Let y(f) = f - 4. Determine s(y(t)). t**2 - 8*t + 16 Let v(y) = -59*y**2. Let h(g) = -2*g + 1. Let k(x) = -11*x + 4. Let l(a) = 4*h(a) - k(a). Give v(l(p)). -531*p**2 Let r(x) = x. Suppose -f = 3*h - 12, -4*h = -f - 3*f - 32. Let n = 9 - h. Let w(q) = -6 + 6 - n*q. Determine r(w(a)). -4*a Let j(l) = 14*l + 5*l + 12*l - 32*l. Let s(d) = -115*d. What is s(j(f))? 115*f Let i(f) = -7*f**2. Let o(s) = -84 + 46 + 39. Let t(r) = r - 5. Let q(y) = 5*o(y) + t(y). What is i(q(b))? -7*b**2 Let j(p) be the second derivative of 0*p**2 - 1/3*p**3 + p + 0. Let s(h) = 16*h**2 - 40*h**2 - 42 - 43 + 85. Give s(j(u)). -96*u**2 Let p(n) = 2*n**2. Let h(b) = 3*b**2 - 216*b + 10. Calculate h(p(u)). 12*u**4 - 432*u**2 + 10 Let v(f) = 6*f**2. Let z(y) = 38*y**2 - 17*y**2 - 3*y**2. What is z(v(u))? 648*u**4 Let a(o) = 13*o**2. Let c(m) be the third derivative of -m**6/360 - 5*m**3/2 + 9*m**2. Let n(r) be the first derivative of c(r). Determine n(a(b)). -169*b**4 Let n(m) = -33*m - 8*m + 12*m. Let t(x) = x**2. Give t(n(d)). 841*d**2 Suppose -14*l + 10*l = -60. Let u(v) = -v - 15*v - l*v. Let a(c) = c**2. Calculate a(u(s)). 961*s**2 Let d be (-5)/(-7 - -2) - -8. Let z(t) = -9 + 2 + d*t + 7. Let v(y) = 2*y**2. Determine v(z(n)). 162*n**2 Let b(j) = -2*j. Let a(i) = -4*i**2 + 7*i**2 + 6*i - 3*i - 2*i**2. Let q(t) = 4*t**2 + 16*t. Let o(r) = 16*a(r) - 3*q(r). Give b(o(f)). -8*f**2 Let j(h) = -23*h. Let r(n) = 3 + 44*n - 58*n - 3 + 25*n. Determine r(j(t)). -253*t Let y(f) = -f**2. Let w(i) be the second derivative of -1813*i**4/12 - 570*i. Calculate w(y(m)). -1813*m**4 Let j(l) = -14*l**2. Let r(h) = 7*h**2 - 19*h**2 + 6*h**2. What is r(j(u))? -1176*u**4 Let i(s) = -7*s**2. Let y = -8 - -10. Let q(g) = 2*g**2 - 5*g**y + 4*g**2. Calculate i(q(h)). -7*h**4 Let m(i) = 6*i. Let y(c) = 40602*c. Calculate m(y(f)). 243612*f Let i(m) = -4*m**2. Let h(n) = -2*n**2. Let l(u) = 7*h(u) - 4*i(u). Let r(c) be the first derivative of 49*c**2/2 + 2*c + 1708. Give r(l(q)). 98*q**2 + 2 Let l(r) = -91*r**2 - 10 - 89*r**2 + 0 + 176*r**2. Let g(k) = 4*k. Calculate g(l(x)). -16*x**2 - 40 Let r(x) be the first derivative of 0*x - 1 + 5/2*x**2. Let f(j) = -j**2 + 6. Let y(u) = -1. Let b(i) = -f(i) - 6*y(i). Give r(b(t)). 5*t**2 Let o(x) = -4*x - 226. Let q(g) = -97*g. What is q(o(y))? 388*y + 21922 Let w(m) = 8*m**2. Let v(a) = a. Let o(s) = 6*s. Let c(i) = 3*o(i) - 14*v(i). Suppose -2 - 6 = y. Let z(t) = 6*t. Let n(l) = y*c(l) + 5*z(l). Determine n(w(h)). -16*h**2 Let o = 126 + -124. Let s(h) = -92*h + 2*h**2 + 92*h + 7*h**o. Let b(j) = 5*j. Give b(s(l)). 45*l**2 Let m(f) = -194*f + 4. Let x(n) = 120*n**2. Determine x(m(r)). 4516320*r**2 - 186240*r + 1920 Let w(g) = -25*g**2. Let j(t) = 3482*t - 4. What is j(w(a))? -87050*a**2 - 4 Let u(n) = -44695*n. Let c(l) = l. Give c(u(z)). -44695*z Let d(r) = 2*r. Let a = 642 - 629. Let s(p) be the third derivative of 1/24*p**4 + 0*p + 0*p**3 + a*p**2 + 0. Calculate d(s(h)). 2*h Let l(h) = -17*h. Let k(w) = 1235*w. Give l(k(o)). -20995*o Let k be (14/(-6))/(4/(-12)). Let o(v) = -4 + 5 + k*v**2 - 1. Let z(q) = -4 + 2*q + 4. Determine o(z(r)). 28*r**2 Let t(q) be the third derivative of 7*q**4/24 - q**2. Let g(v) = 6*v + 8*v - 28*v + 14*v - v**2. Determine t(g(k)). -7*k**2 Let h(s) = -315101*s. Let q(f) = -3*f**2. Determine h(q(n)). 945303*n**2 Let s(r) = 9*r**2 - 4. Let a(d) = -30*d**2 - 52. What is s(a(x))? 8100*x**4 + 28080*x**2 + 24332 Let i(r) = 9*r. Let v(z) = -3*z. Let f(c) = 6*i(c) + 17*v(c). Let n(l) = l - 2. Let a(k) = 8*k + 14. Let p(d) = 2*a(d) + 14*n(d). Give f(p(b)). 90*b Let k(o) be the first derivative of 0*o + 0*o**2 + 41 + 5/3*o**3. Let y(z) = -3 + 3 - 3*z. Determine y(k(w)). -15*w**2 Let a(y) = 2166*y. Let t(z) = 51*z. Calculate t(a(i)). 110466*i Let k(r) be the first derivative of -r**2/2 - 59. Let s(w) = 4*w + 13. Let y(c) = -c - 3. Let u(a) = 6*s(a) + 26*y(a). Determine u(k(v)). 2*v Let k(o) = -19*o - 64. Let m(s) = -3*s. What is m(k(c))? 57*c + 192 Let j(i) = 10*i**2. Let p(o) = 2*o - 4. Let v be p(3). Let z(k) = -2143 + 2143 + 3*k**v. Calculate j(z(t)). 90*t**4 Let x(d) = -16*d - 33. Let u(b) = 3*b + 6. Let h(a) = 11*u(a) + 2*x(a). Let j(r) be the third derivative of r**5/12 - 6*r**2. Calculate h(j(k)). 5*k**2 Let f(d) = -11*d. Suppose -2*h = 2, 0 = 5*q - 4*h + 2*h + 33. Let s(u) = 3*u - 7. Let g(r) = 2*r - 4. Let p(k) = q*g(k) + 4*s(k). Give p(f(b)). 22*b Let t(z) be the second derivative of 7*z**4/12 - 5*z**3/3 + 154*z. Let v(j) = -j. What is v(t(k))? -7*k**2 + 10*k Let w(p) = -11*p. Let o(n) = 334*n. Determine w(o(c)). -3674*c Let p(m) = -20*m**2. Let r(j) be the third derivative of j**8/20160 + j**5/6 + j**2. Let d(y) be the third derivative of r(y). Determine d(p(a)). 400*a**4 Let k(x) be the third derivative of -x**5/60 + 2*x**3/3 + 26*x**2. Let v(q) = q**2 - 3. Let b(n) = 3*k(n) + 4*v(n). Let d(h) = -16*h**2. What is d(b(a))? -16*a**4 Let t(c) = c. Suppose 5*u + 0*a + 86 = -a, 0 = 3*u - 5*a + 46. Let z = 23 + u. Let h(l) = -206 - z*l + 206. Give h(t(m)). -6*m Let z(u) = -117871*u. Let f(h) = -h. Determine z(f(j)). 117871*j Let w = -22 - -24. Let g(q) = -205*q - 2*q**w + 205*q. Let c(s) = -s**2. Determine g(c(r)). -2*r**4 Let c(q) = 5*q. Let a(v) = -4*v + 2. Let w(r) be the second derivative of 0 - 7*r - 17/6*r**3 + 9/2*r**2. Let n(u) = 9*a(u) - 2*w(u). What is c(n(t))? -10*t Let u(k) = -2*k**2 - 45*k. Let g(i) be the second derivative of -i**4/4 + 251*i. What is u(g(x))? -18*x**4 + 135*x**2 Let u(m) = 39*m. Let i(o) be the second derivative of -o**4/6 + 105*o. Give u(i(x)). -78*x**2 Suppose 0 = -9*l + 3*l. Let p(u) = -6 + 20*u**2 + 6 + l. Let f(b) = -2*b**2. Give f(p(h)). -800*h**4 Let s(q) be the third derivative of q**5/20 + 9*q**2 + 3*q. Let u(h) = 22*h. Give u(s(d)). 66*d**2 Let y(t) = -t. Let z(n) = -n**2 + 4*n - 1. Let p be z(3). Let i(h) = 2 - 4*h - p + h. Give i(y(m)). 3*m Let w(d) = -78*d + 216. Let g(o) = 2*o - 6. Let r(q) = 36*g(q) + w(q). Let b(x) = 147*x - 1. What is r(b(c))? -882*c + 6 Let v(h) = 1268350*h. Let n(o) = -o**2. Give v(n(i)). -1268350*i**2 Let w(u) = 22*u**2 - 7*u**2 - 3*u**2 - 10*u**2. Let z(c) = 30*c. Give w(z(t)). 1800*t**2 Let b(q) = 2*q + 330. Let y(u) = 1303*u**2 - 2617*u**2 + 1313*u**2. What is y(b(m))? -4*m**2 - 1320*m - 108900 Let m(y) = 599*y**2. Let c(s) = 1622*s**2 - 814*s**2 - 810*s**2. What is c(m(w))? -717602*w**4 Let b(t) = -5132*t. Let r(f) = 4*f. Determine b(r(q)). -20528*q Let x(h) = 4*h. Let b(s) = 152*s
{ "pile_set_name": "DM Mathematics" }
ctors of 87500556. 2, 3, 11, 13, 23, 739 What are the prime factors of 32728312? 2, 31, 131969 List the prime factors of 342362288. 2, 47, 455269 What are the prime factors of 1014526271? 11, 293, 314777 What are the prime factors of 2652758782? 2, 1326379391 What are the prime factors of 737509270? 2, 5, 107, 689261 What are the prime factors of 467013187? 29, 555307 What are the prime factors of 17228450? 2, 5, 587 What are the prime factors of 62504194? 2, 31252097 What are the prime factors of 517003739? 7, 73, 1011749 List the prime factors of 2618664956. 2, 654666239 List the prime factors of 123349740. 2, 3, 5, 2055829 List the prime factors of 766476602. 2, 383238301 What are the prime factors of 35201790? 2, 3, 5, 13, 3343 List the prime factors of 2088704. 2, 41, 199 List the prime factors of 156490687. 156490687 What are the prime factors of 2880286? 2, 19, 75797 What are the prime factors of 73803903? 3, 24601301 List the prime factors of 36335970. 2, 3, 5, 11, 17, 127 What are the prime factors of 2114939345? 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11, 43, 149, 16691 What are the prime factors of 5231400? 2, 3, 5, 8719 List the prime factors of 236105360. 2, 5, 73, 40429 List the prime factors of 27581627. 27581627 List the prime factors of 138116976. 2, 3, 17, 193, 877 List the prime factors of 124900181. 7, 17842883 List the prime factors of 93423792. 2, 3, 7, 11, 23, 157 What are the prime factors of 541082935? 5, 23, 73, 64453 List the prime factors of 26555131. 353, 75227 What are the prime factors of 157949562? 2, 3, 97, 223, 1217 List the prime factors of 109881491. 167, 657973 What are the prime factors of 576957067? 17, 97, 439, 797 What are the prime factors of 455333422? 2, 227666711 What are the prime factors of 1271434353? 3, 7, 5387, 11239 What are the prime factors of 5832189824? 2, 37, 1231459 List the prime factors of 43789224. 2, 3, 19, 109, 881 List the prime factors of 3075072598. 2, 13, 118272023 List the prime factors of 1634382604. 2, 408595651 List the prime factors of 217387650. 2, 3, 5, 433, 3347 List the prime factors of 463623048. 2, 3, 7, 17, 1061 What are the prime factors of 382217880? 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{ "pile_set_name": "DM Mathematics" }