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= 0. -12, -1, 1, 13 Suppose 3*y**2 + 39492*y + 129968172 = 0. Calculate y. -6582 Let -m**2/4 - 3111*m/4 - 98995/2 = 0. What is m? -3046, -65 Find u, given that u**4 + 26*u**3 - 403*u**2 + 208*u + 2220 = 0. -37, -2, 3, 10 Factor 2*f**2 + 43572*f. 2*f*(f + 21786) Factor 2*k**4/9 + 440*k**3/9 + 22376*k**2/9 - 66880*k/3 + 46208. 2*(k - 4)**2*(k + 114)**2/9 Solve z**2/3 - 6296*z - 18889/3 = 0 for z. -1, 18889 Suppose 4*t**2/3 + 176*t/3 + 640/3 = 0. Calculate t. -40, -4 Factor -4*v**2 - 660*v + 2016. -4*(v - 3)*(v + 168) Solve -2*l**4 + 12160*l**3 - 17827484*l**2 - 1993376640*l - 53745434082 = 0. -53, 3093 Factor p**2/5 - 968*p/5 - 969/5. (p - 969)*(p + 1)/5 Determine v, given that 2*v**4/11 - 52*v**3/11 - 42*v**2 - 72*v/11 + 216 = 0. -6, -3, 2, 33 Factor -5*a**3/2 + 2210*a**2 - 56815*a/2 + 87100. -5*(a - 871)*(a - 8)*(a - 5)/2 What is k in -k**2 - 4028*k - 4056196 = 0? -2014 Factor 2*a**2/7 - 95936*a/7 - 95938/7. 2*(a - 47969)*(a + 1)/7 Factor -w**3/3 - 223496*w**2 + 893988*w - 2681968/3. -(w - 2)**2*(w + 670492)/3 Factor 3*o**4 - 129*o**3 + 774*o**2 + 6240*o - 45696. 3*(o - 34)*(o - 8)**2*(o + 7) Suppose 3*k**4/5 + 477*k**3/5 + 18564*k**2/5 = 0. Calculate k. -91, -68, 0 Factor n**3/9 + 1595*n**2/3 + 636272*n + 5721664/9. (n + 1)*(n + 2392)**2/9 Suppose -2*h**2/7 + 52*h/7 + 1462/7 = 0. What is h? -17, 43 Factor -f**3/10 + 27*f**2/10 - 108*f/5 + 216/5. -(f - 12)**2*(f - 3)/10 Find m, given that m**4/3 + 964*m**3/3 + 100674*m**2 + 28142660*m/3 - 819059647/3 = 0. -329, 23 Factor 7*n**3 + 2560*n**2 + 24188*n - 7120. (n + 10)*(n + 356)*(7*n - 2) Factor -3044*p**3 + 176544*p**2 - 2559540*p - 6728. -4*(p - 29)**2*(761*p + 2) Factor -5*a**2 + 1260*a + 21440. -5*(a - 268)*(a + 16) Factor 2*w**2/7 - 199620*w/7 + 4981018050/7. 2*(w - 49905)**2/7 Determine u, given that 2*u**4/19 - 172*u**3/19 - 1094*u**2/19 - 920*u/19 = 0. -5, -1, 0, 92 Factor -5*g**2 - 6595*g - 39390. -5*(g + 6)*(g + 1313) Factor -33*s**2 - 50157*s/4 + 285. -3*(s + 380)*(44*s - 1)/4 Suppose -c**3/7 - 2496*c**2/7 + 4995*c/7 - 2498/7 = 0. Calculate c. -2498, 1 What is h in 6*h**5 - 740*h**4 - 5998*h**3 - 3668*h**2 = 0? -7, -2/3, 0, 131 Factor -5*l**3 - 775*l**2 - 2290*l - 1520. -5*(l + 1)*(l + 2)*(l + 152) Let 5*b**5 + 610*b**4 + 6315*b**3 + 23630*b**2 + 35680*b + 17760 = 0. Calculate b. -111, -4, -2, -1 Factor -2*l**2/7 + 2566*l/7 - 2564/7. -2*(l - 1282)*(l - 1)/7 Let 556*l**3 - 28360*l**2 + 204*l = 0. Calculate l. 0, 1/139, 51 Determine r, given that 17*r**4/6 + 2505*r**3 + 3307877*r**2/6 - 1047252*r - 392498/3 = 0. -443, -2/17, 2 Factor -3*a**3 - 216*a**2 + 927*a + 1140. -3*(a - 5)*(a + 1)*(a + 76) Determine d so that 2*d**2/9 - 1204*d/9 + 18400/3 = 0. 50, 552 Factor 2*j**3/5 + 1678*j**2/5 - 74004*j/5. 2*j*(j - 42)*(j + 881)/5 What is k in -3*k**3 - 237*k**2 - 1314*k = 0? -73, -6, 0 Suppose 2*i**3/9 + 824*i**2/9 - 69554*i/9 + 68728/9 = 0. What is i? -484, 1, 71 Factor -4*l**2 - 3932*l + 3936. -4*(l - 1)*(l + 984) Factor -y**4/4 + 1961*y**3/2 - 3849441*y**2/4 + 1921780*y - 960400. -(y - 1960)**2*(y - 1)**2/4 Factor n**2/3 + 7952*n/3. n*(n + 7952)/3 Factor -2*w**2/17 + 144492*w/17 - 2609742258/17. -2*(w - 36123)**2/17 Solve 10*n**3/7 + 17848*n**2/7 = 0 for n. -8924/5, 0 Find d such that 2*d**4/5 + 13884*d**3/5 + 27762*d**2/5 + 2776*d = 0. -6940, -1, 0 Suppose i**3/2 + 121*i**2/2 - 442*i + 768 = 0. What is i? -128, 3, 4 Determine z so that z**2 - 285586*z + 20389840849 = 0. 142793 Find n such that -2*n**4 + 102*n**3 - 1576*n**2 + 7944*n - 10368 = 0. 2, 6, 16, 27 Find t such that 2*t**2 - 67340*t + 566834450 = 0. 16835 Let 5*r**5 + 250*r**4 - 4960*r**3 + 21120*r**2 = 0. What is r? -66, 0, 8 Factor -2*u**3/3 + 26*u**2 + 3380*u/3. -2*u*(u - 65)*(u + 26)/3 Factor q**3/2 + 13409*q**2/2 + 13407*q. q*(q + 2)*(q + 13407)/2 Factor -4*u**3 + 25372*u**2 - 40246332*u + 40220964. -4*(u - 3171)**2*(u - 1) Factor -7*l**3 - 15475*l**2 + 66442*l - 17720. -(l - 4)*(l + 2215)*(7*l - 2) Let -5*w**2 + 588005*w = 0. Calculate w. 0, 117601 Factor 3*u**3/8 + 33*u**2 - 5481*u/8 + 12879/4. 3*(u - 9)**2*(u + 106)/8 Factor 5*d**5 - 87755*d**4 - 351070*d**3 - 526630*d**2 - 351095*d - 87775. 5*(d - 17555)*(d + 1)**4 Determine r, given that -r**4/8 + 309*r**3/4 - 92341*r**2/8 - 242565*r/2 - 616225/2 = 0. -5, 314 Factor q**4 - 12473*q**3 + 224286*q**2 - 1195808*q + 1594240. (q - 12455)*(q - 8)**2*(q - 2) Factor 2*y**2/3 - 552*y - 1658/3. 2*(y - 829)*(y + 1)/3 Factor -2*d**2/3 - 19820*d/3 + 19822/3. -2*(d - 1)*(d + 9911)/3 Factor -a**2/10 + 14762*a/5. -a*(a - 29524)/10 Determine v, given that -4*v**3 - 1400*v**2 - 16112*v + 37856 = 0. -338, -14, 2 Solve -144*l**4 + 3408*l**3 - 15988*l**2 - 5616*l - 476 = 0 for l. -1/6, 7, 17 Determine f so that 2*f**3 - 17794*f**2 + 35582*f - 17790 = 0. 1, 8895 What is i in 5242322*i**2 + 64760*i + 200 = 0? -10/1619 Let -4*o**4 - 2900*o**3 - 721656*o**2 - 66364272*o - 1178787168 = 0. What is o? -234, -23 Determine w so that 4*w**3 - 402908*w**2 + 10145727072*w + 10146129984 = 0. -1, 50364 Determine h so that -2*h**5/9 - 74*h**4 + 6850*h**3/9 - 1210*h**2/3 - 68768*h/9 - 19208/3 = 0. -343, -2, -1, 6, 7 Let 2*k**5/3 + 2078*k**4/3 - 25312*k**3/3 - 91528*k**2/3 + 1012160*k/3 + 3363200/3 = 0. Calculate k. -1051, -4, 10 Determine t, given that 39*t**4 - 20937*t**3 + 120759*t**2 + 164037*t + 22302 = 0. -1, -2/13, 7, 531 Factor 2*q**3 + 716*q**2 + 57970*q - 1119008. 2*(q - 16)*(q + 187)**2 Factor -2*v**4/25 - 15124*v**3/25 + 30254*v**2/25 - 15128*v/25. -2*v*(v - 1)**2*(v + 7564)/25 Find j such that j**2/2 + 19420*j + 188568200 = 0. -19420 Factor -2*v**2/13 + 1324*v/13 + 209616/13. -2*(v - 794)*(v + 132)/13 Find g, given that -g**5/4 - 55*g**4/4 + 723*g**3/2 + 2479*g**2 + 5158*g + 3504 = 0. -73, -2, 24 Suppose -2*a**3/5 + 8556*a**2/5 - 5130*a = 0. Calculate a. 0, 3, 4275 Factor -938*p**3/9 - 50648*p**2/9 - 75954*p + 324. -2*(p + 27)**2*(469*p - 2)/9 Factor 5*v**2 - 400800*v + 8032032000. 5*(v - 40080)**2 Factor -m**2/3 + 6332*m/3 + 12668/3. -(m - 6334)*(m + 2)/3 Factor -3*i**4 - 14631*i**3 + 219915*i**2 - 1100325*i + 1834500. -3*(i - 5)**3*(i + 4892) Factor 3*j**2 - 63804*j + 339245868. 3*(j - 10634)**2 Factor 4*i**3/3 - 364*i**2 + 26068*i - 1680700/3. 4*(i - 175)*(i - 49)**2/3 Suppose 2*w**3/3 + 964*w**2 + 25590*w + 68112 = 0. Calculate w. -1419, -24, -3 Factor 2*o**2/3 + 1622*o + 106084/3. 2*(o + 22)*(o + 2411)/3 Determine w so that -w**2/6 + 203*w/3 - 404/3 = 0. 2, 404 Let -2*c**2 + 542212*c - 36749231618 = 0. What is c? 135553 Factor 3*q**3 + 54*q**2 - 597*q - 3960. 3*(q - 11)*(q + 5)*(q + 24) Factor -3*f**2/7 - 4650*f/7 - 20181. -3*(f + 31)*(f + 1519)/7 Find t, given that t**3/3 - 2071*t**2/3 + 292805*t + 69703629 = 0. -167, 1119 Solve -14*p**5 + 752*p**4 + 1910*p**3 - 6320*p**2 - 16056*p - 4032 = 0 for p. -3, -2, -2/7, 3, 56 Determine r so that -2*r**4/5 - 548*r**3/5 - 34944*r**2/5 + 548*r/5 + 34946/5 = 0. -173, -101, -1, 1 Suppose -2*b**3 - 11276*b**2/11 - 17386*b/11 - 6132/11 = 0. What is b? -511, -1, -6/11 Find x such that 4*x**3 + 3292*x**2 - 74552*x - 162240 = 0. -845, -2, 24 Factor j**2 + 51736*j - 51737. (j - 1)*(j + 51737) Factor -i**4 - 31*i**3 - 276*i**2 - 976*i - 1216. -(i + 4)**3*(i + 19) Factor 4*z**3 - 12*z**2 - 952*z. 4*z*(z - 17)*(z + 14) Solve 21*p**2/4 - 98367*p/4 + 3513 = 0. 1/7, 4684 Solve 2*p**2 - 970*p + 23868 = 0 for p. 26, 459 Solve -2*u**5/3 + 6346*u**4/3 - 5030788*u**3/3 - 5043484*u**2/3 + 1676930*u + 1679046 = 0 for u. -1, 1, 1587 Let c**4/5 - 98*c**3/5 + 2144*c**2/5 + 98*c/5 - 429 = 0. Calculate c. -1, 1, 33, 65 Factor 4*v**4 + 512*v**3 + 2004*v**2 + 2488*v + 992. 4*(v + 1)**2*(v + 2)*(v + 124) Solve 20*h**5 - 2775*h**4 + 104740*h**3 - 561660*h**2 - 871200*h = 0. -5/4, 0, 8, 66 Let -5*b**3 - 15*b**2 + 1800*b + 15120 = 0. What is b? -12, 21 Let 5*a**2 + 593110*a + 593105 = 0. Calculate a. -118621, -1 Solve 2*h**5/5 - 116*h**4/5 + 1296*h**3/5 - 1188*h**2 + 12366*h/5 - 1944 = 0. 3, 4, 45 What is n in -12*n**5 + 1107*n**4 + 2157*n**3 - 17298*n**2 + 8844*n + 16920 = 0? -5, -3/4, 2, 94 Suppose -4*n**4 - 4368*n**3 + 4376*n**2 + 4368*n - 4372 = 0. Calculate n. -1093, -1, 1 Solve -3*t**5/5 - 147*t**4/5 - 1221*t**3/5 - 1833*t**2/5 + 6264*t/5 + 1404 = 0 for t. -39, -6, -5, -1, 2 Determine j, given that 2*j**3/11 + 28*j**2/11 - 70*j/11 - 96/11 = 0. -16, -1, 3 Factor 2*a**3 -
{ "pile_set_name": "DM Mathematics" }
-10 + 6*c**4 - c**2 + a - 9*c**3 + 9*c - 2*c**2. 3*(c - 1)**2*(c + 1)*(2*c - 1) Suppose 0 = 5*n, 2*n + 2 + 10 = 3*c. Factor 2*l**2 - 4*l**2 - 2*l**2 - 8*l + c*l**3. 4*l*(l - 2)*(l + 1) Let f(m) be the third derivative of m**8/252 - 2*m**7/105 + m**6/45 + 2*m**5/45 - m**4/6 + 2*m**3/9 + 15*m**2. Factor f(d). 4*(d - 1)**4*(d + 1)/3 Suppose -3*c - c + 72 = 4*h, 2*c - 36 = -5*h. Let k be 114/27 - 4/c. Factor -1/3*l**2 + 2/3*l**k + 1/3*l**3 + 0*l + 0. l**2*(l + 1)*(2*l - 1)/3 Let r(m) be the second derivative of m**7/56 - m**6/24 + m**5/80 + m**4/48 - 3*m. Suppose r(h) = 0. What is h? -1/3, 0, 1 Solve -32/7 - 2/7*l**2 + 16/7*l = 0. 4 Let q(t) = -t - 5*t - t**2 - t - 3. Let j be q(-6). Factor 2/3*z**j + 0*z + 2/3*z**2 + 0. 2*z**2*(z + 1)/3 Let u(r) = r**4 - 6*r**3 + 4*r**2 + 2*r - 5. Let z(f) = f**4 - 7*f**3 + 5*f**2 + f - 6. Let m(l) = -3*u(l) + 2*z(l). Find j such that m(j) = 0. -1, 1, 3 Let u(v) be the second derivative of -1/50*v**5 + 0 - 1/30*v**4 + 0*v**2 + v + 0*v**3. Suppose u(r) = 0. What is r? -1, 0 Let p(i) = -11*i**2 + 18*i - 17. Let q(l) = -6*l**2 + 9*l - 9. Let x(y) = -3*p(y) + 5*q(y). Factor x(j). 3*(j - 2)*(j - 1) Let a(d) be the first derivative of 1/3*d**3 - 1/5*d**5 - 1 - 1/6*d**6 + 0*d + 1/4*d**4 + 0*d**2. Suppose a(k) = 0. What is k? -1, 0, 1 Let h(l) = 32*l - 10. Let z be h(6). Let g be 10/(-65) - (-80)/z. Determine k, given that -g*k**4 + 2/7*k + 6/7*k**3 + 0 - 6/7*k**2 = 0. 0, 1 Suppose -4 = -4*w + 2*w. Let a = w + 0. Solve -5 - 2*s**4 - 4*s**3 + 0*s**4 + 6 - 9 + 6*s**a + 8*s = 0 for s. -2, 1 Let v(k) be the first derivative of -2*k**3/9 - 8*k**2/3 - 32*k/3 + 4. Factor v(j). -2*(j + 4)**2/3 Suppose 0*a + a = -3. Let i = 3 + a. Factor 1/4*k**3 + 1/4*k**2 + 0 + i*k. k**2*(k + 1)/4 Factor 4*j**2 + 5*j**4 + j**5 - 2*j**3 + 3*j**4 - 3*j**5 - 8*j**3. -2*j**2*(j - 2)*(j - 1)**2 Let s(r) = 16*r - 14. Let o(j) = 3*j - 3. Let t(f) = -11*o(f) + 2*s(f). Let n be t(5). Factor -2/3*a**4 - 2/3*a**2 + 0*a - 4/3*a**3 + n. -2*a**2*(a + 1)**2/3 Suppose 0 = -7*t + 9*t - 6. Factor -4*g**4 + 0*g**4 + g**4 + 5*g**3 + 3*g**t - 4*g**2. -g**2*(g - 2)*(3*g - 2) Solve 0 - 16/5*z + 4/5*z**3 - 32/5*z**2 + 8/5*z**4 = 0. -2, -1/2, 0, 2 Let a(g) be the first derivative of -g**6/21 - 2*g**5/7 - 5*g**4/7 - 20*g**3/21 - 5*g**2/7 - 2*g/7 - 13. Factor a(y). -2*(y + 1)**5/7 Let p(u) be the third derivative of -u**6/80 - u**5/20 + u**4/144 + u**3/18 - 2*u**2. Factor p(l). -(l + 2)*(3*l - 1)*(3*l + 1)/6 Let t = -3 - -8. Factor -f**2 + 2*f**4 + 3*f**2 + 0*f**4 - t*f**3 + f**3. 2*f**2*(f - 1)**2 Let o be 4 - ((-15)/5 - -5). Factor 0 - 1/4*d**o - 1/4*d. -d*(d + 1)/4 Let l(n) be the second derivative of n**6/900 - n**5/150 - n**3/6 - n. Let p(y) be the second derivative of l(y). What is k in p(k) = 0? 0, 2 Let d = -5 - -15. Suppose 4*y = -y + d. Factor -i + 0*i**2 + 0*i - 2*i**y + 3*i. -2*i*(i - 1) Let n(x) be the second derivative of x**5/10 + x**4/3 + x**3/3 - 11*x. Solve n(k) = 0 for k. -1, 0 Solve -6/5*y + 8/5 - 2/5*y**2 = 0. -4, 1 Factor -4*v + 8*v**2 + 8*v**4 + v**3 + 3*v**3 + 5*v**4 - 21*v**4. -4*v*(v - 1)*(v + 1)*(2*v - 1) Suppose 5*x = 815 - 115. Let k be 1/5 - (-392)/x. Suppose 2/7*b**2 + 0 - 2/7*b**k + 0*b = 0. What is b? 0, 1 Let l(y) be the first derivative of y**8/840 - y**6/180 + 5*y**3/3 + 7. Let x(j) be the third derivative of l(j). Factor x(r). 2*r**2*(r - 1)*(r + 1) Let z(s) be the first derivative of -4*s**3/21 - 20*s**2/7 - 100*s/7 + 18. Let z(o) = 0. What is o? -5 Suppose -2*j = m + 11 - 3, 21 = -2*m - 5*j. Find i such that -3/5 - 3/5*i**m + 6/5*i = 0. 1 Let b(u) = -9*u**2 - 5*u + 11. Let c(l) = -5*l**2 - 3*l + 6. Let k(m) = 4*b(m) - 7*c(m). Factor k(i). -(i - 2)*(i + 1) Suppose 3*d = -4*w - 10 - 2, 0 = 4*w - 2*d - 8. Let r be w - (0 - (-1 - -3)). Suppose 4*u + u + r*u**2 - 4*u = 0. What is u? -1/2, 0 Factor -1/2 - 1/4*w + 1/4*w**3 + 1/2*w**2. (w - 1)*(w + 1)*(w + 2)/4 Let o(s) be the third derivative of s**5/15 - s**4 + 6*s**3 - 6*s**2. Factor o(j). 4*(j - 3)**2 Let o(h) = h**2 - 1. Let g(p) = -5*p**3 + 27*p**2 - 20*p - 2. Let t(x) = -g(x) + 2*o(x). Factor t(a). 5*a*(a - 4)*(a - 1) Let f(k) = -7*k - 3. Let v be f(-1). Let o(t) be the first derivative of 0*t**2 - 1/12*t**3 + 0*t - 1 - 1/16*t**v. Factor o(i). -i**2*(i + 1)/4 Let o be 6*4/((-12)/(-1)). Determine p, given that -1/5*p**3 + 0 - 3/5*p**o - 2/5*p = 0. -2, -1, 0 Let g(k) be the third derivative of k**6/30 + 2*k**5/15 - 7*k**4/6 + 8*k**3/3 + 39*k**2. Factor g(z). 4*(z - 1)**2*(z + 4) Let z(m) be the second derivative of m**6/1440 - m**5/480 - m**3/6 + 5*m. Let c(d) be the second derivative of z(d). What is v in c(v) = 0? 0, 1 Let u(m) be the third derivative of -m**8/84 + 8*m**7/105 - 2*m**6/15 - 2*m**5/15 + 5*m**4/6 - 4*m**3/3 + 14*m**2. Suppose u(y) = 0. What is y? -1, 1, 2 Let y(v) be the second derivative of -v**7/21 + 13*v**6/15 - 7*v**5/2 - 49*v**4/6 - 26*v. Factor y(i). -2*i**2*(i - 7)**2*(i + 1) Suppose 0 = 5*t - t - 5*w + 7, 4*w - 22 = -5*t. Factor c**3 - 5*c**3 + c**3 + 2*c**2 + c**t. -3*c**2*(c - 1) Let l = -16 - -31. Let -l*z**2 + 14*z**2 - 4 + 20*z**2 - 15*z**3 = 0. Calculate z. -2/5, 2/3, 1 Let f(b) be the second derivative of -b**7/1260 - b**6/360 - b**5/240 + b**4/12 - b. Let x(y) be the third derivative of f(y). Determine n, given that x(n) = 0. -1/2 Let v(i) be the first derivative of 5 + 0*i**2 + 0*i - 1/12*i**3. Factor v(m). -m**2/4 Let l(w) be the second derivative of w**4/72 - w**3/18 + w**2/12 - 6*w. Suppose l(b) = 0. Calculate b. 1 Let k be 0 - 17/(-3) - (-14)/(-21). Solve -59/4*z**3 + 27/4*z**4 + 0*z**2 + z + 0 + 7*z**k = 0. -2, -1/4, 0, 2/7, 1 Let a(l) = -l - 1. Let g be a(-3). Determine x so that 2*x**2 + 2*x - x**2 + x**g = 0. -1, 0 What is j in 12*j - 5*j**2 - 12*j + 2*j - 7*j**3 = 0? -1, 0, 2/7 Let l(q) = q**3 - 2*q + 8. Let x be l(0). Solve -13*j**2 - 7*j**3 - x + 8*j**2 - 20*j + 3*j**3 - 11*j**2 = 0 for j. -2, -1 Let g(s) be the first derivative of -2/9*s**3 - 3 + 2/3*s**2 + 0*s. Determine n, given that g(n) = 0. 0, 2 Suppose 4*w - 4*a + 5*a = 22, -w = a - 4. Let t = 11 - w. Determine d, given that 2*d - 2*d**5 + 4*d**3 + 7*d**2 + 3*d**5 + 5*d**3 + t*d**4 = 0. -2, -1, 0 Let f(v) be the third derivative of -v**7/1260 + v**6/180 - v**5/60 + 5*v**4/24 - v**2. Let g(p) be the second derivative of f(p). Find w such that g(w) = 0. 1 Let m(i) be the first derivative of -4*i**3/15 - 12*i**2/5 - 13. Let m(p) = 0. What is p? -6, 0 Let j(h) be the third derivative of -h**6/60 + 2*h**5/15 - h**4/4 + 7*h**2. Determine i, given that j(i) = 0. 0, 1, 3 Let n be (4 - 0) + -6 + 4. Let 0 - 1/4*m**3 + 0*m + 1/4*m**n = 0. Calculate m. 0, 1 Let b(a) be the third derivative of -1/210*a**5 + 0*a + 1/735*a**7 + 0 + 0*a**3 - a**2 - 1/84*a**4 + 1/420*a**6. Factor b(o). 2*o*(o - 1)*(o + 1)**2/7 Let u(w) be the third derivative of w**7/1260 - w**6/180 + w**5/60 - w**4/12 - 3*w**2. Let l(v) be the second derivative of u(v). Factor l(c). 2*(c - 1)**2 Suppose -8/7 - 8/7*x + 2/7*x**2 + 2/7*x**3 = 0. Calculate x. -2, -1, 2 Let w(t) = t**2 - 6. Let y = 54 + -37. Let d(o) = -6*o**2 + 4*o**2 + y - o**2. Let m(g) = 6*d(g) + 17*w(g). Determine i, given that m(i) = 0. 0 Let y be (-466)/4 + -2 + 0. Let b = y - -121. Factor 7/2*p**3 + 0 + b*p**4 + p**2 + 0*p. p**2*(p + 1)*(5*p + 2)/2 Let b(y) be the second derivative of y**7/2520 - 2*y**3/3 + 3*y. Let s(a) be the second derivative of b(a). Factor s(q). q**3/3 Let i be 3/(-9) - 39/(-9). Suppose -3*j - 3*j + 6*j**3 - 4*j**3 + i = 0. Calculate j. -2, 1 Let l(j) = 8*j**2 - 17*j + 20. Let y(g) = 3*g**2 - 6*g + 7. Let c(u) = -4*l(u) + 11*y(u). Factor c(s). (s - 1)*(s + 3) Let f be 3*2*(-1)/(-2). Suppose 3*s = -k - 13, -2*k + 4*s = k - 26. Factor f*u - u**2 + 0*u**2 - 2*u**k. -3*u*(u - 1) Let s = 2 + -4. Let l be s + 0 + 3 + -1. Factor 0 + 0*a**2 + l*a - 2/7*a**3 + 2/7*a**4. 2*a**3*(a - 1)/7 Let r(c) be the third derivative of 0*c**3 - 1/945*c**7 + 0*c - 4*c**2 - 1/540*c**6 + 1/270*c**5 + 0 + 1/108*c**4. Factor r(w). -2*w*(w - 1)*(w + 1)**2/9 Let -34*f - f - 5*f + f**5 + 35*f**4 - 6*f**5 + 100*f**2 - 90*f**3 = 0. What is f? 0, 1, 2 Let 2/9*k**2 + 50/9 - 20/9*k = 0. What is k? 5 Let o(g) = -g**3 - 9*g - 10. Let c(i) = -6*i**3 - 63*i - 69. Let z(x) = 4*c(x) - 27*o(x). Let z(v) = 0. What is v? -1, 2 Let 0*a**4 + 0 - a**3 + 1/2*a**5 + 1/2*a + 0*a**2 = 0.
{ "pile_set_name": "DM Mathematics" }
2*o**2 + 41872*o - 219158048. -2*(o - 10468)**2 Let -3*j**2 - 1053*j + 82566 = 0. What is j? -417, 66 Factor 4*o**5/7 + 3848*o**4/7 - 23196*o**3/7 + 34848*o**2/7. 4*o**2*(o - 3)**2*(o + 968)/7 Factor 3*b**3 - 6*b**2 - 30621*b + 1211388. 3*(b - 59)**2*(b + 116) Solve q**4/4 - 3435*q**3/2 + 34333*q**2/4 - 13731*q + 6865 = 0 for q. 1, 2, 6865 Find x, given that x**3/2 - 6629*x**2 + 21978448*x - 43930384 = 0. 2, 6628 Factor -u**5/5 - 35*u**4 + 180*u**3. -u**3*(u - 5)*(u + 180)/5 Determine u, given that -2*u**2 - 9934*u - 9932 = 0. -4966, -1 Solve -6*l**5/11 - 208*l**4/11 - 2426*l**3/11 - 11072*l**2/11 - 14464*l/11 + 6144/11 = 0 for l. -16, -8, -3, 1/3 Factor 5*v**3 + 80*v**2 + 155*v - 1320. 5*(v - 3)*(v + 8)*(v + 11) Determine v so that -2*v**4/17 + 24*v**3/17 + 18*v**2 - 568*v/17 - 3648/17 = 0. -8, -3, 4, 19 What is p in 2*p**2 + 359188*p = 0? -179594, 0 Find l such that 2*l**2/9 - 70484*l/9 + 140960/9 = 0. 2, 35240 Factor -v**4 + 36*v**3 - 285*v**2 - 322*v. -v*(v - 23)*(v - 14)*(v + 1) Factor 3*o**3/4 - 102759*o**2/4 + 205509*o/4 - 102753/4. 3*(o - 34251)*(o - 1)**2/4 What is u in -4*u**3/9 + 38476*u**2/3 - 76936*u = 0? 0, 6, 28851 Determine o so that -45978*o**2/5 - 229889*o/5 + 1 = 0. -5, 1/45978 Suppose -z**3/7 + 125*z**2/7 + 841*z/7 - 7205/7 = 0. Calculate z. -11, 5, 131 Suppose -s**3 + 5630*s**2 - 33753*s + 50616 = 0. Calculate s. 3, 5624 Solve 2*k**5/9 + 28910*k**4 + 2820741472*k**3/3 - 8462484608*k**2/9 = 0. -65048, 0, 1 Factor -3*l**3 + 618*l**2 - 33027*l + 122412. -3*(l - 101)**2*(l - 4) Factor 3*x**3 + 384*x**2 - 13191*x - 13572. 3*(x - 29)*(x + 1)*(x + 156) Solve 125*b**4/6 + 298075*b**3/3 + 119210*b**2 + 143044*b/3 + 19072/3 = 0. -4768, -2/5 Factor 2*w**3 - 134*w**2 + 2222*w - 10890. 2*(w - 45)*(w - 11)**2 Factor -2*a**2/3 + 2738*a/3 - 912. -2*(a - 1368)*(a - 1)/3 Factor c**4/6 + 32*c**3/3 - 2139*c**2/2 - 71064*c - 69984. (c - 81)*(c + 1)*(c + 72)**2/6 Find c such that 36*c**4/5 - 898*c**3/5 + 2326*c**2/5 + 132*c/5 = 0. -1/18, 0, 3, 22 Suppose -n**3 - 3291*n**2 + n + 3291 = 0. What is n? -3291, -1, 1 Find h such that -18*h**4 + 741*h**3 - 7467*h**2 + 1224*h = 0. 0, 1/6, 17, 24 Factor z**3/5 + 2299*z**2/5 - 9208*z/5 + 9212/5. (z - 2)**2*(z + 2303)/5 Factor 2*w**2 - 2302*w - 4612. 2*(w - 1153)*(w + 2) Solve 2*l**3/5 + 42678*l**2/5 + 256014*l/5 + 383994/5 = 0 for l. -21333, -3 Let -4*x**4/3 - 1696*x**3 - 544392*x**2 - 3220704*x - 4808268 = 0. Calculate x. -633, -3 Suppose -x**3 - 1377*x**2 - 474720*x - 473344 = 0. What is x? -688, -1 Find g such that 2*g**2 - 23122*g/7 + 184080/7 = 0. 8, 11505/7 Find t, given that 2*t**3/13 + 262*t**2/13 - 1122*t/13 - 5670/13 = 0. -135, -3, 7 Let -50*g**4 - 55*g**3 + 95*g**2 + 10*g = 0. What is g? -2, -1/10, 0, 1 Factor 3*g**3/7 - 768*g**2/7 + 1065*g - 18450/7. 3*(g - 246)*(g - 5)**2/7 Suppose 14*w**3/3 - 1870*w**2/9 - 316*w - 368/9 = 0. What is w? -4/3, -1/7, 46 Factor x**4 - 1907*x**3 - x**2 + 1907*x. x*(x - 1907)*(x - 1)*(x + 1) Suppose -5*f**5 + 48380*f**4 - 48375*f**3 = 0. What is f? 0, 1, 9675 Determine q, given that -2*q**3 - 70*q**2 - 588*q = 0. -21, -14, 0 Determine w, given that -w**5/4 + 5*w**4 + 151*w**3 + 760*w**2 = 0. -10, -8, 0, 38 Factor 2*s**5 + 918*s**4 + 10800*s**3 + 32184*s**2. 2*s**2*(s + 6)**2*(s + 447) Solve -4*g**5 - 16*g**4 + 232*g**3 + 496*g**2 + 252*g = 0. -9, -1, 0, 7 Factor -v**2/3 - 320*v/3 - 8528. -(v + 156)*(v + 164)/3 Factor 2*s**2/7 + 15850*s/7 - 47568/7. 2*(s - 3)*(s + 7928)/7 Factor 2275*q**5/2 - 4541*q**4/6 - q**3. q**3*(3*q - 2)*(2275*q + 3)/6 Factor 5*n**2 - 9864210*n + 4865131946205. 5*(n - 986421)**2 Find g, given that -8479*g**4/2 + 76312*g**3 - 457884*g**2 + 915840*g - 216 = 0. 2/8479, 6 Determine a, given that -4*a**3 + 1336*a**2 + 48196*a + 91016 = 0. -31, -2, 367 Factor 4*n**2/9 + 103768*n/9 + 672987364/9. 4*(n + 12971)**2/9 Let o**2 + 5716*o + 8168164 = 0. What is o? -2858 Factor k**3 + 13*k**2 - 121*k - 133. (k - 7)*(k + 1)*(k + 19) Factor 4*c**3 - 232*c**2 + 2068*c. 4*c*(c - 47)*(c - 11) Suppose 3*k**2 + 30909*k/5 - 12366/5 = 0. Calculate k. -2061, 2/5 Determine f so that -8*f**5 + 7094*f**4 + 10038*f**3 - 1029158*f**2 + 758066*f + 253968 = 0. -13, -1/4, 1, 11, 888 Find r, given that -2*r**3/13 + 272*r**2/13 - 8770*r/13 + 8500/13 = 0. 1, 50, 85 Let -2*l**4/5 + 11516*l**3/5 + 103766*l**2/5 + 230656*l/5 + 138408/5 = 0. What is l? -6, -2, -1, 5767 Find a such that -3*a**4/7 - 3342*a**3/7 + 11199*a**2 - 68352*a/7 - 150084/7 = 0. -1137, -1, 2, 22 Let -v**5 - 449*v**4 + 10242*v**3 - 56286*v**2 + 110079*v - 63585 = 0. Calculate v. -471, 1, 3, 15 Solve -3*k**5 + 210*k**4 - 4227*k**3 + 14136*k**2 + 138384*k = 0. -4, 0, 12, 31 Factor -4*z**2 + 5688*z - 33984. -4*(z - 1416)*(z - 6) Find h such that -3*h**5 + 71154*h**4 - 421978788*h**3 + 843672984*h**2 = 0. 0, 2, 11858 Suppose -80*c**4 + 181240*c**3 + 1181715*c**2 - 624835*c + 79520 = 0. Calculate c. -7, 1/4, 2272 Factor -3*x**2 - 468*x - 12177. -3*(x + 33)*(x + 123) Factor -h**3 - 99*h**2 - 2754*h - 17496. -(h + 9)*(h + 36)*(h + 54) Factor 2*z**2/19 - 524*z/19 + 7872/19. 2*(z - 246)*(z - 16)/19 Solve q**4 + 97*q**3/7 - 171*q**2 + 1247*q/7 - 22 = 0 for q. -22, 1/7, 1, 7 Find v such that 65*v**3 - 8200*v**2 + 17380*v - 2480 = 0. 2/13, 2, 124 Factor 5*j**4/4 - 1170*j**3 - 14085*j**2/4. 5*j**2*(j - 939)*(j + 3)/4 Factor 4*h**4 + 156*h**3 - 108*h**2 - 3996*h + 8424. 4*(h - 3)**2*(h + 6)*(h + 39) Factor 2*n**2/19 - 267222*n/19 + 267220/19. 2*(n - 133610)*(n - 1)/19 What is c in -c**4 - 3576*c**3 - 7149*c**2 - 3574*c = 0? -3574, -1, 0 Factor 2*l**2 - 18*l. 2*l*(l - 9) Factor -6*q**2/5 - 16*q/5 + 256/5. -2*(q + 8)*(3*q - 16)/5 Factor 5*p**4 + 7170*p**3 + 1350665*p**2 - 874582260*p + 74393162420. 5*(p - 142)**2*(p + 859)**2 Find n such that 3*n**2 + 36300*n - 108927 = 0. -12103, 3 Suppose -2*m**3 + 686888*m**2 - 2747528*m + 2747520 = 0. What is m? 2, 343440 Solve -5*c**2 - 10965690*c - 6012317858805 = 0. -1096569 Suppose 3*u**4/8 + 495*u**3/8 + 3831*u**2/8 + 9945*u/8 + 4239/4 = 0. Calculate u. -157, -3, -2 Factor 2*s**2/9 + 6568*s/9 - 8768/3. 2*(s - 4)*(s + 3288)/9 Let -5*k**4 - 1525*k**3 - 93465*k**2 - 1666295*k - 1574350 = 0. Calculate k. -230, -37, -1 Find i such that -6*i**4 - 3531*i**3 + 1785*i**2 + 10602*i = 0. -589, -3/2, 0, 2 Find a, given that 90*a**4/17 - 384*a**3/17 + 454*a**2/17 - 88*a/17 - 8/17 = 0. -1/15, 1/3, 2 Factor -k**2/6 + 7*k/2 + 23/3. -(k - 23)*(k + 2)/6 Find k, given that -3*k**5/4 - 75*k**4/4 - 327*k**3/4 - 561*k**2/4 - 213*k/2 - 30 = 0. -20, -2, -1 Factor -x**3/7 + 193*x**2/7 + 67617*x/7 + 3832191/7. -(x - 391)*(x + 99)**2/7 Factor 2*b**5/21 - 1048*b**4/7 - 12608*b**3/21. 2*b**3*(b - 1576)*(b + 4)/21 Factor 2*g**2 + 9460*g + 141450. 2*(g + 15)*(g + 4715) Factor -2*f**2/17 + 236*f/17 - 6720/17. -2*(f - 70)*(f - 48)/17 Let 2*z**4/7 - 36*z**3/7 - 470*z**2 + 10500*z = 0. What is z? -42, 0, 25, 35 Solve -6075*w**3/4 - 3207*w**2/2 - 273*w/4 + 33/2 = 0. -1, -11/81, 2/25 Factor -16*s**4/7 - 446*s**3/7 + 558*s**2. -2*s**2*(s - 7)*(8*s + 279)/7 Factor 3*q**3/8 - 3591*q**2 - 57465*q/8 - 14367/4. 3*(q - 9578)*(q + 1)**2/8 Find h such that 8*h**5 - 1114*h**4 + 17208*h**3 - 45472*h**2 + 10400*h + 40992 = 0. -3/4, 2, 14, 122 Factor -2*n**3/5 + 104*n**2/5 - 1574*n/5 + 1392. -2*(n - 29)*(n - 15)*(n - 8)/5 Determine n, given that 15*n**4 + 380*n**3 + 1415*n**2 - 3770*n - 1400 = 0. -20, -7, -1/3, 2 Factor 2*z**3 - 58880*z**2. 2*z**2*(z - 29440) Determine o, given that 83*o**4/6 - o**3/6 - 166*o**2/3 + 2*o/3 = 0. -2, 0, 1/83, 2 Factor -3*g**2 + 186588*g - 2901256812. -3*(g - 31098)**2 Determine s so that -s**5/2 + 119*s**4 - 13423*s**3/2 - 44281*s**2 - 23546*s + 74420 = 0. -5, -2, 1, 122 Suppose 2*r**3/7 - 4436*r**2 + 17218334*r = 0. What is r? 0, 7763 Solve -2*o**2/3 - 373546*o/3 = 0 for o. -186773, 0 Find h, given that 5*h**4 - 3545*h**3 - 152550*h**2 - 920160*h + 15120000 = 0. -24, 7, 750 Find a, given that a**5 + 167*a**4 + 767*a**3 - 6899*a**2 + 10824*a - 4860 = 0. -162, -10, 1, 3 Suppose -4*c**2 + 6148*c + 43232 = 0. What is c? -7, 1544 Factor 4*k**4 + 624*k**3 + 4220*k**2 + 7152*k. 4*k*(k + 3)*(k + 4)*(k + 149) Factor 2*n**5/7 + 14108*n**4/7 - 254430*n**3/7 + 1145664*n**2/7. 2*n**2*(n - 9)**2*(n + 7072)/7 Factor -l**3/3 + 394*l**2/3 + 21613*l/3 + 41642/3. -(l - 443)*(l + 2)*(l + 47)/3 Suppose 4*v**2/3 - 242
{ "pile_set_name": "DM Mathematics" }
= 3*v**2 + 2*v + 1. Calculate o(a). 2 Suppose -i + 5 = 6. Let q(a) be the second derivative of -a**5/10 + a**3/3 + a**2/2 - 22*a. Give q(i). 1 Let s(g) = -2*g**2 - 4*g - 3. Suppose 2*h + 4*y + 14 = h, -2*y = 2*h + 10. Let d be s(h). Let w(z) = 7*z + 4. Give w(d). -17 Let q be ((-10)/(-8))/(3/(-12)). Let z be 1 - 2 - 1*q. Let j be z + 0 - (-1)/(-1). Let b(h) = h**3 - 3*h**2 + 3. What is b(j)? 3 Let x(d) be the first derivative of -d**2/2 + 5*d + 3. Give x(6). -1 Let y(z) = -z + 5. Let j(a) = 6*a - 36. Let u(c) = -2*j(c) - 15*y(c). Suppose -n - 2 = 8. Let k = 13 + n. Give u(k). 6 Let i(r) be the second derivative of -7*r**5/20 - r**3/6 - r**2/2 + 2*r - 79. Suppose 0 = -2*a - 0*f + f - 6, 3*a = -5*f + 17. What is i(a)? 7 Let q(t) = -t**2 - t + 1. Suppose 3*n = 5*m + 12 - 36, 4*m - 21 = 3*n. Suppose 5 + 1 = -m*g. Give q(g). -1 Let y(h) = h**2 + 4*h - 2. Let p be y(-5). Let k(z) = -2*z + p*z + 2 + z - 6*z. Give k(2). -6 Let l(t) = -5 - 2 + t**2 - 1 + 5 + 7*t. Let g be l(-8). Let o(h) = -h**3 + 7*h**2 - 2*h + 2. Let z(r) = r**2 - r. Let i(d) = o(d) - 2*z(d). Calculate i(g). 2 Suppose -6*m + 7 = -m - 3*f, 4*f - 6 = -m. Let q(u) = u + 5 + m*u - 4*u. What is q(5)? 0 Let y(d) = 5*d**2 + 4*d - 9. Let n(z) = z**2 - 1. Let m(t) = -6*n(t) + y(t). Calculate m(2). 1 Let z(l) = 7*l**2 - l. Suppose 15 = r + 2*r. Let j be (-4)/(0 - -2)*(7 - 5). Let c = r + j. Give z(c). 6 Let s(b) = -3*b**3 - 2*b**2 + 3*b. Let c(w) = -4*w**3 - w**2 + 4*w. Let h(z) = -2*c(z) + 3*s(z). Give h(-4). -4 Let g be 2/(-9) - 2/(36/86). Let z(u) = -u - 10. Give z(g). -5 Suppose -v - 4 = 5*m - 0*v, -3*m + v = -4. Let w(p) = p**3 + 6. Calculate w(m). 6 Let p(t) = -12*t**2 + t. Let d(c) = -12*c**2 + c. Let q(i) = -4*d(i) + 3*p(i). Calculate q(1). 11 Let h(a) = -5*a**2 + 8*a - 5. Let g(q) = -q**2 + 1. Let i(b) = 4*g(b) - h(b). What is i(6)? -3 Let x(o) = o + 1. Let u be x(4). Suppose -5*w - 5*q = 5, 3*w - 5*w - u*q = 8. Let t(p) = -2 - p + 2*p + 2*p - 2*p. Determine t(w). -1 Suppose 7 = -6*k + 5*k. Let q(y) = 2*y + 9. Give q(k). -5 Let s(i) = i**3 + i + 1. Let h(b) = 5*b**3 + 7*b**2 + 5*b + 2. Let j(u) = h(u) - 4*s(u). Give j(-7). -9 Let b = 6 - -1. Let n(w) = 2*w - 7. Calculate n(b). 7 Let y(w) = w**2 - 2. Let f(b) = -b - 1. Let s(m) = f(m) - y(m). Suppose 0 = -4*a - l + 6, -5*a + 0*l + 3*l - 1 = 0. Calculate s(a). -1 Let h(m) = 5*m - 4. Let y = 8 + -5. Let b be h(y). Let c be 3/(-6) + b/2. Let i(j) = -j. Give i(c). -5 Let m be (-3 - (-14)/4)*0. Let o(q) = -q + 4. Give o(m). 4 Let h(g) = -g**3 + 2*g**2 - 2*g + 1. Suppose 0 = u + 1 + 9. Let f = 12 + u. What is h(f)? -3 Let t = -14 - -17. Let i(f) = 0*f + 3*f**3 + 8*f**t - 7*f + 5*f - 1. Calculate i(-1). -10 Let y(h) = h**2 - 5*h - 2. Suppose -2*d - 3 = 4*j + d, -j + 4*d + 23 = 0. Determine y(j). -8 Let u(l) = l**2 - 6*l - 2. Let y(i) = -10*i - 3. Let d be y(-1). What is u(d)? 5 Let u be 5/2*(-4 - -2). Let n(y) = 7*y - 3*y + y**2 - 5 + 3. Give n(u). 3 Let b be 2*-2*(-10)/(-8). Let f(x) = 3*x - 6 + x**2 + 4 + 3*x. What is f(b)? -7 Suppose -s - 2*g - 12 = 0, -3*s + 4*g = 7 + 19. Let m = 9 + s. Let i(r) = 8*r**2 + 2*r + 1. Calculate i(m). 7 Let d(t) = -9*t + 10*t + 2 - 4*t**2 + 5*t**2 - 9*t. Give d(4). -14 Let q(x) = -x**3 + x + 2. Let y(g) = -4*g - g**3 - 7 + 0*g**2 + 0*g**3 + 6*g**2. Let c be y(5). What is q(c)? 8 Let h(i) be the first derivative of -i**2/2 + 10*i - 1. Suppose -f = -3*x + 3, 6*x - 9 = 3*x + 3*f. Calculate h(x). 10 Let a = -7 + 15. Let x(v) = -v**2 + 7*v + 6. Let b be x(a). Let i(d) = 5 + 1 + d**2 - 3 + 4*d. Calculate i(b). -1 Suppose -2*y + 4 = -0. Let n(t) = 12*t**2 - y*t - 6*t**2 - 5*t**2. What is n(3)? 3 Let v = -6 + 12. Suppose 0 = r + r - v. Let a(g) = g**2 + g - 4. Give a(r). 8 Let u(w) be the first derivative of -5/6*w**3 + 2 + 1/2*w**2 + 0*w - 1/12*w**4. Let t(l) be the second derivative of u(l). Calculate t(-5). 5 Let b(p) be the first derivative of 5*p**3/3 - p**2 - 2*p - 15. What is b(2)? 14 Let g = -79 - -87. Let v(m) = -m + 11. Give v(g). 3 Let q(l) = l**3 - l**2 - 2*l + 3. Suppose -x + 3*n + 8 = -9, 5*x - 5 = -n. Give q(x). 3 Let c(y) = y**3 + 6*y**2 + 5*y - 3. Let d(g) = -g**2 - 11*g + 16. Let u be d(-12). Suppose 0 = -b + u*b + 15. What is c(b)? -3 Let m = 9 + -2. Let q(u) = 0 + 5*u - 6*u + m - u**3. Let h = -2 + 2. What is q(h)? 7 Suppose -2*d + 21 = -0*d - 5*x, -d = -5*x - 13. Let o(i) = i**3 - 8*i**2 + 2. Calculate o(d). 2 Let y(p) = -p + 3. Let n be (-18)/27 + 2/3. Determine y(n). 3 Let r(b) = -9 - 3*b**2 - 3*b**2 - 7*b + 6*b**2 - b**2. Suppose -3*a + 15 = 0, -2*k - 5 = -2*a + 17. Determine r(k). -3 Let l(c) = 4*c + 13 - 12 - c - 2*c. Calculate l(4). 5 Let d(z) = 7*z**2 - z**3 + 3 - 9*z**2 + 8*z**2. Determine d(6). 3 Suppose -8 = -3*a + 7. Let v(l) = -l**3 + 5*l**2 - 6*l + 6. Determine v(a). -24 Let v = 2 - 5. Let x(q) = 6*q + 4. Let g(s) = -9*s - 6. Let i(j) = -5*g(j) - 8*x(j). Determine i(v). 7 Let x(w) be the third derivative of -w**4/24 + w**3/6 - 5*w**2. What is x(-1)? 2 Let o(w) = 2*w - 1. Let z be o(-1). Let d(y) = -5*y - 5*y**2 - 7 + 1 + 3 - y**3. Give d(z). -6 Let p(v) = v**3 - 3*v**2 - 4*v + 3. Let h = -32 + 23. Let z = -5 - h. Determine p(z). 3 Let h(p) = -p**2 + 3*p + 2. Let g = -25 + 28. Suppose -j - g = -2*j - 4*z, -2*j - 5*z = -6. Determine h(j). 2 Let x(t) = t**2 - 5*t + 6. Let k(z) = 2*z**2 - 11*z + 13. Let c(q) = 2*k(q) - 5*x(q). Determine c(3). -4 Let a(c) = c**2 - 2*c + 1. Suppose f + 2 = -u, 4*u = -5*f - 8 + 1. Suppose -v = 2*r - 0*v - 9, -4*r + 9 = 5*v. Let w = u + r. What is a(w)? 4 Let a(p) = p + 1. Let j be a(6). Suppose 0*g - j = -5*s + 4*g, -10 = -5*g. Let i(r) = 2*r**3 + 2*r + 4*r**s - 5*r**2 - 5*r**3 + 4. Determine i(4). -4 Let y(n) = 3*n**2 + n + 17. Let i(t) = 5*t**2 + 2*t + 26. Let z(u) = 5*i(u) - 8*y(u). Suppose -5*r - 12 = 13. Determine z(r). 9 Let u(k) be the second derivative of k**5/20 + k**4/3 - 7*k**3/6 - 3*k**2/2 + 25*k. Give u(-5). 7 Let n(g) = -g - 7. Let y(m) = -6*m**2 + 6*m**3 - 5*m**3 + 1 - 9*m + 7. Let j(u) = -2*u - 7. Let o be j(-7). Let p be y(o). What is n(p)? -1 Let h = -4 + 4. Suppose 3*j = -12, h*i = 5*i - j + 26. Let x(v) = -v**3 - 6*v**2 - v. Determine x(i). 6 Let s = 5 + -4. Let m(t) = -t**2 - 1. Let b(f) = -4*f**2 + 3. Let d(l) = s*b(l) + 2*m(l). Let j = 1 + 0. Calculate d(j). -5 Suppose 0 = -0*v + 5*v - 10, -16 = -4*a - 2*v. Let u(r) = 5*r. Calculate u(a). 15 Let q(p) = 9*p - 16. Let w be q(2). Let n(j) = 2*j**3 - 2*j + 3. Calculate n(w). 15 Let t(y) = y + 7. Let l be (9 + -2)*(1 + -2). Give t(l). 0 Let l(w) = -w**3 + 2*w**2 - 4*w + 3. Suppose -2*t + 0*t + 32 = 0. Let f = t - 14. What is l(f)? -5 Let v(p) = p**3 + p**2 - p + 1. Let a(x) = 7*x**3 - 3*x**2 + 2*x + 9. Let y(w) = -a(w) + 6*v(w). Calculate y(8). -3 Let m(p) = -p**3 + 3*p**3 - 2*p + 4*p**2 - 4 - 3*p**3 + 7*p. Let h(z) = z**3 + z**2 - z + 5. Let v be h(0). Determine m(v). -4 Let b = -26 - -16. Let a be (0 + 2/(-4))*b. Let z(n) = n - 11. Give z(a). -6 Let g = 14 + -11. Let r(p) = p**3 - 4*p**2 + p - 1. Determine r(g). -7 Let c be -1*(8 + -3 + -1). Let x(j) = -j**2 - 8*j - 6. Calculate x(c). 10 Let u be -1 - -4 - 3/(-3). Let w be 72/(-16)*(-4)/3. Suppose -u*o + w = -2. Let v(a) = -a**2 - 1. Give v(o). -5 Let m(s) = 5*s**3 + s**2 + 2*s - 2. Let i(b) = 16*b**3 + 3*b**2 + 5*b - 5. Let c(z) = -3*i(z) + 8*m(z). Give c(1). -9 Let m(c) be the second derivative of -2*c**3/3 - c**2/2 - 2*c. Calculate m(1). -5 Let a(d) = -5*d**2 + d + 6. Let y(v) = v**2 - 1. Let w(j) = a(j) + 6*y(j). Let f be (-56)/35 - (-4)/(-10). Determine w(f). 2 Let o(r) be the second derivative of r**4/4 - r**3/6 - r**2/2 - 2*r. Let c(b) = -2*b - 48. Let l be c(-25). Determine o(l). 9 Let y(n) = -2*n**2 + n. Let v(p) = p + 7. Let r be v(-3). Suppose 5*h = 0, -r*h + 24 = -4*u - 5*h. Let i = u - -4. Give y(i). -10 Let u(h) = 4*h - 6*h**2 + 2*h**3 - h**2 - 2 + 4*h**2. Calculate u(2). 10 Let j(o) = o**3 + 5*o**2 + 3*o. Let u = -4 + 0. Give j(u). 4 Suppose 2*g = -l, 2*l - 2*g = 6*l. Let y(s) be the third derivative of -s**5/60 - s**4/24 + s**3/6 + s**2. What is y(l)? 1 Let t = -9 + 26. Suppose 0 = -0*p - 4*p + r + 29, 2*p - t = r. Let q(i) = 5*i - 9. Let g(u) = -4*u + 9. Let a(m) = -3*g(m) - 2*q(m). Determine a(p). 3 Let i(b) = -b**2 + 15*b - 29. Let u be i(12). Let c(z) = 2*z - 8. Give c(u). 6 Let q(a) = -a**3 - 5*a**2 - 5. Let y(n
{ "pile_set_name": "DM Mathematics" }
e third derivative of 10900449*x**3 - 16243919*x**2 wrt x. 65402694 What is the third derivative of 15228546*f**5 + 2*f**3 + 978988*f**2? 913712760*f**2 + 12 What is the second derivative of -15666*j*q*r**2 - 2*j*r**2 + 2*j - 44*q*r**2 - q*r + 52969*r wrt r? -31332*j*q - 4*j - 88*q Find the third derivative of x**6 + 6029*x**4 + 63*x**3 + 24736*x**2 + 1485. 120*x**3 + 144696*x + 378 Find the second derivative of 190801716*f**4 - 85640027*f wrt f. 2289620592*f**2 Find the first derivative of -683623460*s + 7907639 wrt s. -683623460 Find the third derivative of -35018*o**5*y + 61*o**5 + 146*o**2*y - 2*o**2 + 8961*y wrt o. -2101080*o**2*y + 3660*o**2 Find the third derivative of -983380*x**5 - x**3 + 30933*x**2 + 156 wrt x. -59002800*x**2 - 6 Find the second derivative of -b**2*h**2 - 15*b**2*x**2 + 2*b*h**3*x - 2*b*h**3 + b*h**2*x + 7264856*h**3*x**2 + 569*h**3*x - 85 wrt x. -30*b**2 + 14529712*h**3 What is the third derivative of -12917216*j**4*r**3 + 34*j**4*r - 30*j**2*r**3 + 59*j - 2*r**3 + 612 wrt j? -310013184*j*r**3 + 816*j*r What is the derivative of -3531528*t**3 + 4*t**2 + t - 253966232? -10594584*t**2 + 8*t + 1 What is the second derivative of 8200*q**3*s - 50*q**2*s + 6*q**2 - 19787921*q*s + 3*s wrt q? 49200*q*s - 100*s + 12 What is the derivative of -77*i**3*o*y + 224*i**3*o + i**3 + 42*i*o + 351094*y wrt o? -77*i**3*y + 224*i**3 + 42*i What is the second derivative of 6219364*c**2*q**2 - 18591*c**2*q - c**2 + 2*c*q + 106*q + 1 wrt q? 12438728*c**2 What is the third derivative of 13179232*s*x**3 - 35*s*x**2 - 2*s*x + 49860*s + 2 wrt x? 79075392*s What is the second derivative of -15840444*j**5 + 8332779*j? -316808880*j**3 What is the second derivative of -37070759*h**3 + 70068479*h wrt h? -222424554*h Find the third derivative of -9063533*o**4 - 6367210*o**2 - 4 wrt o. -217524792*o What is the first derivative of 2*h**4 - 3*h**3 + 531220*h + 119442613? 8*h**3 - 9*h**2 + 531220 What is the third derivative of 245916*b**2*t**4 + 2*b**2*t**2 + 2*b**2*t + 2*b**2 - 3*t**4 - 2*t**3 - 338*t**2 - 2 wrt t? 5901984*b**2*t - 72*t - 12 What is the second derivative of 1560879*l**3 - 7*l**2 + 13316452*l wrt l? 9365274*l - 14 Find the first derivative of -2799508*b*k + 68017568*k wrt b. -2799508*k What is the third derivative of 2742264*i**4 + i**3 - 643*i**2 - 46*i + 22? 65814336*i + 6 What is the third derivative of 200091842*q**4 - q**2 - 18721*q - 1470 wrt q? 4802204208*q What is the second derivative of 7*s**3 - 5238910*s**2 - 98*s - 175220? 42*s - 10477820 Find the second derivative of 511506420*q**3 - 224479715*q. 3069038520*q Find the third derivative of -846427494*c**3 - 1673*c**2 + 279*c + 30. -5078564964 Find the third derivative of 149816876*g**4 - 19114032*g**2. 3595605024*g What is the second derivative of 6*c**3*k**2 + 3*c**3*k + 1188926*c**2*k**2 + 1526*c**2*k + c**2 - 2*c*k - 31*k - 19 wrt k? 12*c**3 + 2377852*c**2 What is the second derivative of 2*g**3 - 3*g**2*v**3*w + 1129816*g**2*v**3 - 3*g*v*w - 6*g + v**3 - 2*v*w - 40*v - 2*w + 1 wrt g? 12*g - 6*v**3*w + 2259632*v**3 What is the second derivative of -3128*w**5 + 5413*w**3 + 2902278*w? -62560*w**3 + 32478*w Find the first derivative of -1978518*a + 3616715. -1978518 What is the second derivative of 4277444*h**2*q**2*r**2 + 2*h**2 + 11*h*q**2*r + h*q**2 + 3*h*q + 609*q**2 - 6*r**2 wrt h? 8554888*q**2*r**2 + 4 What is the second derivative of 337*b**2*h**2 - 11*b**2*h + 46*b**2 + b*h**5 + 8*b*h - 9*b - 6565*h**2 + 2*h + 7 wrt h? 674*b**2 + 20*b*h**3 - 13130 What is the first derivative of -8918969*z**2 + 7951636? -17837938*z What is the third derivative of -2*q**5 + 6397024*q**4 - 2*q**3 + 230*q**2 + q - 85255 wrt q? -120*q**2 + 153528576*q - 12 Differentiate -4*n*s*y + 4*n*s + n*y + 2*n + 70*s*y + 5500286*s + 252*y with respect to y. -4*n*s + n + 70*s + 252 What is the third derivative of -66133648*q**4 - 33536074*q**2 wrt q? -1587207552*q Find the second derivative of -1157832*u**2 - 77*u + 19041 wrt u. -2315664 What is the third derivative of -1169861472*z**3 - 3403660*z**2 + 19*z + 2 wrt z? -7019168832 What is the first derivative of -62316*m**2 + 10*m - 11524562 wrt m? -124632*m + 10 Find the third derivative of 20269861*u**3 - 742*u**2 - 2292*u - 1 wrt u. 121619166 What is the first derivative of -127*y**3 - 125394*y**2 + 2*y - 319817103? -381*y**2 - 250788*y + 2 What is the second derivative of 12672621*c**2*g**2 - 443*c**2*g + 194*c*g - 3 wrt g? 25345242*c**2 What is the first derivative of -2*j**2*l - 897*j**2 + 9*j - 4534206*l + 69 wrt l? -2*j**2 - 4534206 What is the second derivative of 119403002*q**2 - 7593*q + 8494? 238806004 Find the third derivative of 5155721*b**6 + 5231915*b**2 wrt b. 618686520*b**3 Find the third derivative of -98474*m**2*n**3 - m**2*n**2 - 185*m**2*n - 298*m**2 - 84*n**5 - 24*n**2 wrt n. -590844*m**2 - 5040*n**2 What is the second derivative of -9*r**2*z**3 + r**2*z + 59*r - 145586*z**3 + 1339*z wrt z? -54*r**2*z - 873516*z What is the second derivative of 178218590*n**5 - 203620649*n? 3564371800*n**3 Differentiate 990913*b*n - 116*b + 246457834*n with respect to b. 990913*n - 116 What is the derivative of 5950145*q + 827140? 5950145 Find the third derivative of -17*b**2*c**4 + 198*b**2*c**2 - 6*b*c**3 - 6993*b*c**2 - 20510*c**3 wrt c. -408*b**2*c - 36*b - 123060 Find the third derivative of 126*w**4 - 46882*w**3 - 41120473*w**2. 3024*w - 281292 What is the third derivative of 37872280*y**4 + 11*y**3 + 113777299*y**2 wrt y? 908934720*y + 66 What is the first derivative of -387876230*k**3*o - 202*k**3 + 8*k**2 - 44824*k wrt o? -387876230*k**3 Find the third derivative of 216508851*r**4 - 4*r**2 - 7567385. 5196212424*r Find the second derivative of -i**4 - 91652782*i**3 - 314258008*i. -12*i**2 - 549916692*i What is the second derivative of -910*g*y**2 - 587919*g*y - 11*g + 256*y**3 + 42*y**2 - 1 wrt y? -1820*g + 1536*y + 84 Find the second derivative of 4076881*i**3*p**2 - 1006*i**3*p - 370*i**3 - i**2*p**2 wrt p. 8153762*i**3 - 2*i**2 What is the second derivative of -107333541*a**2 + 27*a - 2004176? -214667082 What is the third derivative of 363589957*j**4 + 2*j**2 - 41*j + 4542987? 8726158968*j Differentiate 270*a*d - 27176380*a - 1655*d**2 + 4*d with respect to d. 270*a - 3310*d + 4 Differentiate -7488811*d**2*l*p**3 - 1108*d**2*p**3 - 2*d**2 with respect to l. -7488811*d**2*p**3 Find the second derivative of -14102732*y**3 - y**2 + 284947811*y wrt y. -84616392*y - 2 Find the second derivative of -6041781*k*y**2 - 38*k*y - 156745*y wrt y. -12083562*k Differentiate 143*f**3*i**2 + 14*f**3*i - f**3 + 1916329*f**2 - 7205*f*i with respect to i. 286*f**3*i + 14*f**3 - 7205*f Differentiate -40*f*p + 33*f + 11854*p**2 - 2578 with respect to p. -40*f + 23708*p Differentiate -359478393*o**4 + 22397543. -1437913572*o**3 Find the second derivative of -4317*i**4 - 9303*i**2 + 154498457*i. -51804*i**2 - 18606 What is the second derivative of -21958217*p**4 - 5630436*p wrt p? -263498604*p**2 What is the second derivative of 23142*p**5 - 8757*p**2 + 621896039*p? 462840*p**3 - 17514 What is the first derivative of -629209101*c**2 + 579435530 wrt c? -1258418202*c What is the second derivative of 9632*a*l**3*z**2 - 2*a*l**3 - 8*a*l**2 + 4*a*l*z + 4*a*z**2 - 2*a + 40*l + 24 wrt l? 57792*a*l*z**2 - 12*a*l - 16*a Find the third derivative of -2833*a*y**3 - 2*a*y**2 + 311594*a + 32*y**4 - 6*y**3 wrt y. -16998*a + 768*y - 36 What is the second derivative of -20810447*k**3*q**2 + 3*k**3*q - k**3 - 258*k**2*q - 6*k + 4*q wrt q? -41620894*k**3 What is the first derivative of 15274438*u - 62441799? 15274438 What is the second derivative of -35826251*m**2 + 73*m + 150483 wrt m? -71652502 Differentiate 3*m*y*z**2 - 407*m*z**2 + 92*m*z - 2*y*z**2 + 474336*z**2 with respect to m. 3*y*z**2 - 407*z**2 + 92*z Find the third derivative of 105025217*k**3*m - 2*k**2*m + 9*k**2 + 8*k*m - 3*k - 954*m + 3 wrt k. 630151302*m Differentiate 905040*w**4 - 2*w + 425142. 3620160*w**3 - 2 Find the third derivative of 43042379*f**4 + 128797714*f**2 wrt f. 1033017096*f What is the second derivative of -3*h**4 - 665177*h**3 + 1150*h + 14731 wrt h? -36*h**2 - 3991062*h Find the second derivative of 3231*d**2*g**2*q**2 - 117*d**2*g*q**2 + 4*d*g*q**2 - 2*d*g + 1168*g**2*q**2 + 22*q +
{ "pile_set_name": "DM Mathematics" }
second derivative of -9*n + 23/6*n**u + 0*n**3 + 0*n**2 + 0. What is y(o(k))? 184*k**2 Let m(l) = 3433*l. Let a(f) = -216*f**2 + 4*f - 4. What is a(m(d))? -2545665624*d**2 + 13732*d - 4 Suppose -15*q + 4*q = -33. Let w(r) = -q + 2 + r + 2. Let l(t) = t**2. What is l(w(f))? f**2 + 2*f + 1 Let t(g) = -2*g**2. Let p(a) = -40528*a + 6. What is p(t(l))? 81056*l**2 + 6 Let k(i) = 5*i - 4. Let o(l) = -989302*l. Determine k(o(g)). -4946510*g - 4 Let h = -13 - -23. Let x(s) = -7*s - 2*s**2 - h*s - 5*s. Let k(u) = 297*u + 33*u - 331*u. Give k(x(m)). 2*m**2 + 22*m Let y(t) = 9*t + 1. Let p be y(4). Let m = -18 + p. Let s(b) = -15*b**2 - 14*b**2 + m*b**2. Let w(i) = i**2. Determine w(s(v)). 100*v**4 Let t(y) = -6017*y + 1758. Let s(k) = 9*k**2. What is t(s(z))? -54153*z**2 + 1758 Let z(t) = -51 + 20917*t**2 + 16 + 35 - 300*t**2. Let y(r) = -2*r. What is y(z(b))? -41234*b**2 Let t(l) = -9*l**2. Let q(i) be the third derivative of 0*i**4 + 1/4*i**5 + 0*i + 0*i**3 + 14*i**2 + 0. Determine t(q(b)). -2025*b**4 Let a(q) = q**2 + 19*q. Let j(h) = -104*h + 42. Let s(p) = 2601*p - 1071. Let k(o) = 51*j(o) + 2*s(o). Calculate a(k(n)). 10404*n**2 - 1938*n Let v(y) = -20*y. Let n(l) = l**2 - 26*l - 78. Let u(d) = -2*d**2 + d - 13. Let i(x) = -n(x) + 6*u(x). Give i(v(h)). -5200*h**2 - 640*h Let x(y) = -3*y**2. Let v(h) = 8669589*h. Calculate v(x(j)). -26008767*j**2 Let f(g) = 15*g**2. Let v(t) = -271537*t**2. Give f(v(c)). 1105985135535*c**4 Let y(d) be the second derivative of 4*d**3/3 - d - 6. Let i(m) = -13*m. Let u(s) = -5*i(s) - 8*y(s). Let b(p) = -40*p**2 + 1. Calculate u(b(g)). -40*g**2 + 1 Let v(f) = -9*f**2 - 32*f - 24. Let n(x) = 136*x**2 + 476*x + 357. Let o(q) = 8*n(q) + 119*v(q). Let t(p) = -2*p. Give t(o(c)). -34*c**2 Let y(f) = 37*f - 241. Let x(p) = -31*p + 244. Let l(a) = 6*x(a) + 5*y(a). Let s(z) = 5*z**2. What is l(s(j))? -5*j**2 + 259 Let j(y) = -3*y**2. Let c(s) be the third derivative of 13*s**4/2 + 7*s**3/3 + 1991*s**2 - s. Give j(c(a)). -73008*a**2 - 13104*a - 588 Let l(n) = 131*n - 65*n - 29*n. Let a(p) be the second derivative of -2*p**3/3 + 14*p. Determine a(l(t)). -148*t Let f(j) = 97622 - 9*j**2 - 97622 + 9*j**2 + 18*j**2. Let r(a) = 15*a + 1. Determine f(r(x)). 4050*x**2 + 540*x + 18 Let x(o) = 18*o**2 + 7*o + 56. Let l(b) = 52*b**2 + 20*b + 160. Let s(h) = -7*l(h) + 20*x(h). Let w(i) = -171*i**2. Calculate s(w(j)). -116964*j**4 Let i(b) = 4*b**2. Let r(v) = -v - 2658394. Calculate r(i(s)). -4*s**2 - 2658394 Let p(d) = -1297*d + 17579. Let z(x) = x. Determine p(z(s)). -1297*s + 17579 Let a(c) be the third derivative of 166*c**2 + 0 - 1/30*c**5 + 0*c**3 + 0*c**4 + 0*c. Let f(o) = 2*o**2 - 15*o. Give a(f(j)). -8*j**4 + 120*j**3 - 450*j**2 Let f(x) be the second derivative of -x**4 - 5*x. Let h(l) = 47613*l + l**2 - 47613*l. Calculate f(h(c)). -12*c**4 Let f(a) = a**3 - 57*a**2 - 115*a - 153. Let r be f(59). Let c(p) be the first derivative of 0*p**2 + p - r + 23/3*p**3. Let t(b) = -2*b**2. What is t(c(q))? -1058*q**4 - 92*q**2 - 2 Let s(n) = -5354*n. Let m(t) = 5*t**2 - 169*t - 1. Calculate m(s(p)). 143326580*p**2 + 904826*p - 1 Let h(l) = 10*l**2 - 13*l. Let o(y) = 1126*y + 1. Calculate o(h(k)). 11260*k**2 - 14638*k + 1 Let f(b) = 5*b**2 - 3*b**2 - b**2. Let z(g) = 137*g + 77. Let s(l) = -69*l - 44. Let a(n) = 7*s(n) + 4*z(n). Determine a(f(r)). 65*r**2 Let a(y) = -y**2 + 2*y**2 - 3*y**2 + y**2 + 3*y**2. Let s(d) = -45*d**2 + 5*d. Determine a(s(n)). 4050*n**4 - 900*n**3 + 50*n**2 Let s(j) = 65448*j**2. Let i(k) = 9174*k. Give i(s(h)). 600419952*h**2 Let b(a) = -2*a**2. Let n(s) = 12453454*s + 1. Calculate n(b(r)). -24906908*r**2 + 1 Let n(g) = g**2. Let j(c) = 6756*c**2 - 4684*c - 2. Determine j(n(h)). 6756*h**4 - 4684*h**2 - 2 Let b(t) = 39*t**2 + 3. Let i(p) = 1136529*p + 2*p**2 - 1136529*p. What is i(b(u))? 3042*u**4 + 468*u**2 + 18 Let f(u) = 43*u**2. Let n(s) = 2*s - 1. Let h(a) = -11*a + 5. Let g be 3 - (-3)/(3/(-2)). Let k(l) = g*h(l) + 5*n(l). Determine f(k(t)). 43*t**2 Let f(h) = -12*h - 61. Let o(s) = -45*s - 224. Let p(c) = -11*f(c) + 3*o(c). Let x(z) = 2*z**2. What is p(x(g))? -6*g**2 - 1 Let b(y) = 4111*y. Let g(r) = -6*r. Determine b(g(p)). -24666*p Let n(o) = 74*o - 26*o - 47*o. Let c = -25 - -27. Let l(b) = 7*b**c + 23*b - 23*b - b**2 + 2. Determine n(l(h)). 6*h**2 + 2 Let p(c) = 2*c. Let s(g) = 9386042*g**2. Calculate p(s(k)). 18772084*k**2 Let x(q) = 3*q. Let d(z) be the first derivative of 134*z - 3 - 4 - z**3 + 3*z**3 - 123*z. Let j(a) be the first derivative of d(a). Calculate j(x(n)). 36*n Let r(v) = -1395262*v. Let j(a) = 31*a**2. Calculate j(r(d)). 60349437507964*d**2 Let u(n) = 28375*n + 72. Let a(j) = -j. Give u(a(t)). -28375*t + 72 Suppose 4*u - 6*u = 2*u. Suppose 5*n - 100 - 80 = u. Let m(z) = 72*z - 34*z - n*z - 3. Let b(s) = -2*s**2. Calculate m(b(k)). -4*k**2 - 3 Let v(b) = 13*b**2 - 3*b. Let p(j) = 6*j**2 - 3*j + 3. Let y(w) = 11*w**2 - 5*w + 5. Let m = 286 + -283. Let s(a) = m*y(a) - 5*p(a). Determine s(v(c)). 507*c**4 - 234*c**3 + 27*c**2 Let h(z) = -2*z. Let v(l) = -l**3 - 8*l**2 - 4*l - 10. Let k be v(-8). Let f(n) = k*n**2 - 103*n - 64*n**2 + 103*n. What is h(f(x))? 84*x**2 Let q(a) = -5*a**2. Let h = -401 - -426. Let c(n) = -26*n + h*n - 9*n - 7*n - 10*n. Determine c(q(f)). 135*f**2 Let s(h) = -17729*h. Let w(v) = 987*v. Calculate w(s(m)). -17498523*m Let k(u) = -37*u. Let q(t) = -8*t + 60. Let d be q(6). Let w(y) = 44*y + 12. Let x(v) = 18*v + 5. Let l(p) = d*x(p) - 5*w(p). Give l(k(c)). 148*c Let a(y) = -4*y**2. Let b(l) = -4*l. Let p = 5 - 9. Let u(f) be the first derivative of -2*f**2 - 227. Let g(c) = p*u(c) + 6*b(c). Give g(a(j)). 32*j**2 Let r(b) = 3*b. Let y(l) = -573039*l. Calculate y(r(t)). -1719117*t Let x(m) = -22*m**2 + 2*m. Let z(f) = -2061*f + 975*f + 1003*f. Determine x(z(y)). -151558*y**2 - 166*y Let b(s) be the second derivative of 3*s**4/4 - s. Let y(f) = -19 - 16 + 55 - 20 - f + 4*f. Calculate y(b(t)). 27*t**2 Let l(k) = -2014*k**2. Let r(z) be the third derivative of z**5/30 + 3726*z**2. What is r(l(p))? 8112392*p**4 Let q(b) = 4*b**2. Let v = -3700 - -3700. Let w(u) be the second derivative of v*u**2 + 5/6*u**3 + u + 0. Calculate q(w(a)). 100*a**2 Let b(o) = 1031257*o. Let z(n) = 146*n. Give z(b(q)). 150563522*q Let t(u) = 50*u - 2. Let i(o) = -10*o**2 - 7*o + 117. Let b(a) = -5*a**2 - 3*a + 65. Let m(y) = 9*b(y) - 5*i(y). What is t(m(q))? 250*q**2 + 400*q - 2 Let q(w) be the second derivative of 5/3*w**4 - w - 19 + 0*w**3 + 0*w**2. Let b(h) = -h. Calculate q(b(y)). 20*y**2 Let j(c) be the second derivative of -5*c**3/6 - 4*c**2 + 3*c + 105. Let x(k) = -k. Give x(j(w)). 5*w + 8 Let j(a) = -20986*a. Let t(h) = 2062*h. Give j(t(x)). -43273132*x Let u(q) = -35*q**2. Let z(c) = -48*c - 18. Suppose -4*a = -g + 33, a + 3*g + 2*g = -24. Let j(m) = -4*m - 2. Let k(d) = a*j(d) + z(d). Determine u(k(v)). -5040*v**2 Let n(v) = 10341402*v**2. Let t(h) = 2*h. Give n(t(p)). 41365608*p**2 Let x(b) = 16*b**2. Let y(f) = 12*f + 12. Let d(a) = 23*a + 22. Let h = 321 - 327. Let q(t) = h*d(t) + 11*y(t). Calculate x(q(i)). 576*i**2 Let p(s) be the second derivative of -s**4/6 + 6*s**2 - 842*s. Let c(o) = 11*o**2. Calculate p(c(g)). -242*g**4 + 12 Let y(j) = 2 - 4 + 13 + 22 + 5*j**2 + 25. Let t(c) = 8*c**2. Determine y(t(n)). 320*n**4 + 58 Let w(u) = u. Let i(o) = -306*o**2 - 9*o + 1290. Determine i(w(s)). -306*s**2 - 9*s + 1290 Let v(l) be the third derivative of -l**7/2520 - 2*l**5/15 - l**3/6 + 2*l**2 + 5. Let t(k) be the third derivative of v(k). Let c(p) = p - 49. What is c(t(i))? -2*i - 49 Let q(n) = 2*n**2. Let y(f) = -179*f**2 - 15542. Calculate y(q(d)). -716*d**4 - 15542 Let b(n) = -n**2 - 3. Let r(u) = 6*u**2 + 16. Let a(f) = -16*b(f) - 3*r(f). Let t(d) = 17*d**2 + 20*d**2 + 2*d**2 - 3*d**2 - 4*d**2. Give t(a(l)). 128*l**4 Let t(c) be the second derivative of -9*c**4/4 - 2185*c. Let v(g) = 2*g**2 - 15. Determine v(t(o)). 1458*o**4 - 15 Let t(m) = -2*m. Let s(v) be the third derivative of -709*v**4/8 - 751*v**2. Give t(s(q)). 4254*q Let y(t) = -2*t**2. Let x(i) = -8*i - 13. Let z(d) = -1. Let w(l) = -l - 1. Let h(r) = 2*w(r) + z(r). Let s(g) = 26*h(g) - 6*x(g). Give y(s(n)). -32*n**2 Let u(s) = 3*s + 168. Let v(m) = 4*m - 6278. What is v(u(c))? 12*c - 5606 Let j(c) = -9*c**2 - 4*c. Let o
{ "pile_set_name": "DM Mathematics" }
*-3 + -5))**2. 1080*sqrt(7) + 9297 Simplify sqrt(45)/(1*sqrt(576)). sqrt(5)/8 Simplify (-6*-1*sqrt(847)*-3)**2. 274428 Simplify (3*sqrt(250))/sqrt(5). 15*sqrt(2) Simplify (1*sqrt(891))**2*-6. -5346 Simplify -3*(4 + sqrt(7) + sqrt(28))**2. -237 - 72*sqrt(7) Simplify (4 + (sqrt(17) - (sqrt(1377) + 0)) + 1)**2. -80*sqrt(17) + 1113 Simplify 1*2*((sqrt(28)/sqrt(4))**2 + 3 + 2*sqrt(175) + sqrt(175)). 20 + 30*sqrt(7) Simplify 5*-3*(sqrt(1008) - (-2*sqrt(1008) + sqrt(1008)))**2*6. -362880 Simplify (sqrt(539) + 3 - sqrt(11)) + (6*(sqrt(11) + 0))**2. 6*sqrt(11) + 399 Simplify sqrt(275) + 1 - (-1*sqrt(99))/sqrt(9). 1 + 6*sqrt(11) Simplify sqrt(28) - sqrt(140)/(1*sqrt(5)). 0 Simplify (1*sqrt(1539)*-1)**2 + -1. 1538 Simplify 3*(-3 + sqrt(612)) + -4. -13 + 18*sqrt(17) Simplify -1 + (sqrt(272) + 1)**2. 8*sqrt(17) + 272 Simplify 5*((sqrt(114) - ((sqrt(114) - (1*sqrt(114) + sqrt(114))) + sqrt(114)))/sqrt(6) + 0). 5*sqrt(19) Simplify (sqrt(208) + 1*sqrt(208))**2*2. 1664 Simplify (sqrt(136) + sqrt(136) + ((sqrt(136) - sqrt(136)*3)*3 - sqrt(136)) + sqrt(136))/(sqrt(8) + 2*sqrt(8)*6). -4*sqrt(17)/13 Simplify ((2*sqrt(2))**2 + sqrt(2))*4*1. 4*sqrt(2) + 32 Simplify -1*(4*-2*sqrt(21))/(-5*sqrt(63)). -8*sqrt(3)/15 Simplify -1 + sqrt(17) + 1 - sqrt(2057)*1. -10*sqrt(17) Simplify (((sqrt(56) - sqrt(3584)) + sqrt(56))*1 - sqrt(56))/sqrt(8). -7*sqrt(7) Simplify -6*(2*(-1*sqrt(13) - sqrt(13)) - (sqrt(13) + (sqrt(143)/sqrt(176))**2 + sqrt(13)))*4. 39/2 + 144*sqrt(13) Simplify (((sqrt(85) - 5*(sqrt(85) - (sqrt(85)*-2 + sqrt(85))) - sqrt(85) - sqrt(85)) + sqrt(85))/((sqrt(5) + sqrt(20))*2))**2. 425/9 Simplify (-2 + sqrt(175)*4)*-1. -20*sqrt(7) + 2 Simplify ((sqrt(36)/sqrt(2) - sqrt(18))*-3)**2 + -3*(sqrt(288))**2 + 3. -861 Simplify sqrt(65)/(sqrt(35)/(sqrt(7)*2) - sqrt(5)) + (sqrt(1300) - sqrt(1300)*-2*3). 68*sqrt(13) Simplify -2 + -3 + sqrt(63) + -4 + 3. -6 + 3*sqrt(7) Simplify -3*(sqrt(14)/sqrt(2) - sqrt(7) - sqrt(7))**2*2. -42 Simplify (sqrt(19) + sqrt(57)/sqrt(3)*1)**2 - (sqrt(19) + (3*sqrt(19))**2*4). -608 - sqrt(19) Simplify 3*((sqrt(154)*1)/sqrt(7))/(sqrt(6)/(sqrt(6)/sqrt(2))). 3*sqrt(11) Simplify (sqrt(300) + -1)**2 + 0 - (-4 + sqrt(300)*2). -40*sqrt(3) + 305 Simplify ((sqrt(85) + sqrt(85)*1)*5)/(-2*sqrt(80)). -5*sqrt(17)/4 Simplify (sqrt(117) + -3*(sqrt(117)*-3 - sqrt(117)))/(sqrt(9) + (sqrt(9) - sqrt(225)*-5)). 13*sqrt(13)/27 Simplify (0 + sqrt(44) + -1)**2. -4*sqrt(11) + 45 Simplify ((sqrt(3) + -2 - sqrt(3)) + -2)*-5. 20 Simplify 0 + (sqrt(272) + 1 + sqrt(272))*-6 + sqrt(272) + sqrt(272) + 3. -40*sqrt(17) - 3 Simplify -1*sqrt(16)/(sqrt(48)/sqrt(6))*-5. 5*sqrt(2) Simplify -2*sqrt(35)/(sqrt(14)/sqrt(2)). -2*sqrt(5) Simplify (3 + sqrt(63) + 1)**2*3. 72*sqrt(7) + 237 Simplify ((sqrt(15) + sqrt(60))*6)/((sqrt(60) - 2*sqrt(60))/sqrt(12)). -18*sqrt(3) Simplify (2*sqrt(672))/(4*sqrt(54)). 2*sqrt(7)/3 Simplify ((-1*sqrt(68)*3)/sqrt(4))**2 + -5. 148 Simplify (5*sqrt(26)*-1)/(sqrt(2)*-2*-2). -5*sqrt(13)/4 Simplify (-2*sqrt(208))**2 - sqrt(156)/(sqrt(48)/sqrt(4)). -sqrt(13) + 832 Simplify (-2*sqrt(12))/sqrt(6) - (-3*sqrt(4)/sqrt(2))**2. -18 - 2*sqrt(2) Simplify -5*sqrt(40)/sqrt(2)*6. -60*sqrt(5) Simplify 4*(1 + (-1 + 5*(sqrt(7) - -1*sqrt(7)))**2). -80*sqrt(7) + 2808 Simplify ((1*(sqrt(4) - sqrt(4)*-1))/(2*sqrt(242)))**2. 2/121 Simplify 6*((4*sqrt(304) - sqrt(304)) + -3)**2. -432*sqrt(19) + 16470 Simplify sqrt(13) + 3 + -5 + -3. -5 + sqrt(13) Simplify ((sqrt(1800)*2 - sqrt(1800)) + sqrt(1800) + sqrt(50))/(1*sqrt(490)). 13*sqrt(5)/7 Simplify ((sqrt(32)*2)/sqrt(4) - sqrt(8))/sqrt(4). sqrt(2) Simplify (1 + (sqrt(13) - (1*sqrt(143))/sqrt(11)) + -5)**2. 16 Simplify (sqrt(102)/(sqrt(12)/sqrt(2)) - sqrt(17)) + (((sqrt(170)*1 - sqrt(170)) + sqrt(170))/sqrt(10))**2. 17 Simplify -4 + sqrt(720)*2 + sqrt(720) + -5. -9 + 36*sqrt(5) Simplify 0 + ((sqrt(272))**2*-2 - sqrt(17)) + -2. -546 - sqrt(17) Simplify ((0 + sqrt(1872) + -4)*6)**2. -3456*sqrt(13) + 67968 Simplify ((-2*(sqrt(931)*-2 + sqrt(931)))**2 - sqrt(931)) + -2*(sqrt(931) - (sqrt(931) + 0 + sqrt(931))**2). -21*sqrt(19) + 11172 Simplify (sqrt(77)*-1*-4)/sqrt(7). 4*sqrt(11) Simplify -2*sqrt(10)/(1*sqrt(242) + sqrt(2)). -sqrt(5)/6 Simplify ((sqrt(245)*-1 + sqrt(5) - (sqrt(45) + -5))**2 + 4)*5. -450*sqrt(5) + 2170 Simplify sqrt(2) - (sqrt(32))**2*4 - ((sqrt(450) + sqrt(18))/sqrt(9))**2. -200 + sqrt(2) Simplify -3 + -3 + sqrt(147). -6 + 7*sqrt(3) Simplify (4*(sqrt(13) + 0)*-2)**2. 832 Simplify ((sqrt(125) - (sqrt(125) + -1*sqrt(125) + 3)) + 1)**2. -20*sqrt(5) + 129 Simplify (2*sqrt(220) + sqrt(220) + sqrt(220))/sqrt(5). 8*sqrt(11) Simplify ((-5 + -3 + sqrt(8))*-1)**2. -32*sqrt(2) + 72 Simplify (sqrt(170)*-3*-2)/(-1*sqrt(1000)). -3*sqrt(17)/5 Simplify (0 + sqrt(637) + 3 + 0 + sqrt(637)*-1 + sqrt(637))**2. 42*sqrt(13) + 646 Simplify -2*(sqrt(245)*-2 + (1 + sqrt(5) + 0)**2). -12 + 24*sqrt(5) Simplify ((sqrt(528) - sqrt(528)*2) + sqrt(528) + sqrt(528))/(-6*sqrt(48)). -sqrt(11)/6 Simplify -2*sqrt(102)/(sqrt(30)/sqrt(5)). -2*sqrt(17) Simplify (sqrt(750)/sqrt(6) - sqrt(100)/sqrt(5))**2*3. 135 Simplify ((1*sqrt(209)*4)/(sqrt(132)/(-2*sqrt(12))))**2. 1216 Simplify (-5*2*sqrt(325)*-1*2)**2. 130000 Simplify -4*(-3 + 3*(sqrt(162) + sqrt(2)))**2. -7236 + 720*sqrt(2) Simplify (sqrt(56)*2)/sqrt(8) + 4 + sqrt(252). 4 + 8*sqrt(7) Simplify sqrt(612) + 3 + sqrt(17) + -2. 1 + 7*sqrt(17) Simplify ((sqrt(448) + -2 - sqrt(448))*5)**2. 100 Simplify 5*((sqrt(11) + sqrt(22)/sqrt(2) + -1)**2 + sqrt(11)). -15*sqrt(11) + 225 Simplify sqrt(143)/(sqrt(704)*1) + -3. -3 + sqrt(13)/8 Simplify (sqrt(33) + sqrt(99)/sqrt(3))/sqrt(3)*4. 8*sqrt(11) Simplify ((2 + sqrt(68)/sqrt(4))**2 - ((sqrt(51)/sqrt(3))**2 + -5)) + 5. 14 + 4*sqrt(17) Simplify 1*(0 + sqrt(272) - sqrt(272)). 0 Simplify -5 + ((sqrt(30) + -2*sqrt(1920))/sqrt(10))**2. 670 Simplify (sqrt(153) - ((sqrt(153) - -1*sqrt(153)) + sqrt(153) + sqrt(153))*5)/(sqrt(441)*2). -19*sqrt(17)/14 Simplify (2 + sqrt(192)*2)*4. 8 + 64*sqrt(3) Simplify (((2*sqrt(182))/sqrt(7))/(sqrt(6)/(sqrt(9)/sqrt(3))))**2. 52 Simplify 3 + sqrt(2)*-2 - (sqrt(30)/sqrt(3))/sqrt(5). -3*sqrt(2) + 3 Simplify -3 + sqrt(117)*3. -3 + 9*sqrt(13) Simplify (3*sqrt(84))/((sqrt(33)*-1)/sqrt(11)). -6*sqrt(7) Simplify ((sqrt(456)*1)/sqrt(12))/((sqrt(2) - (sqrt(2) + sqrt(150)/sqrt(3)) - sqrt(2)) + sqrt(2)). -sqrt(19)/5 Simplify (sqrt(2)*2*-3)**2 - (sqrt(2) + -1 + sqrt(32)). -5*sqrt(2) + 73 Simplify sqrt(128)*2 + 5. 5 + 16*sqrt(2) Simplify (sqrt(216) - sqrt(216)*2)/sqrt(12) + 1. -3*sqrt(2) + 1 Simplify -4*((sqrt(336)*1 + sqrt(336))*5 - sqrt(336))/sqrt(7). -144*sqrt(3) Simplify sqrt(17) + (sqrt(204) + (sqrt(204) - (sqrt(204) + sqrt(204)*-3)) + sqrt(204))/sqrt(12) + -5*(-2 + sqrt(17)). sqrt(17) + 10 Simplify -5*(1*(sqrt(114)/sqrt(3) + sqrt(38)))/(sqrt(14)/(-2*sqrt(7))). 20*sqrt(19) Simplify 5 + sqrt(612) + -5 + sqrt(612)*-4 + sqrt(612). -12*sqrt(17) Simplify -1 + ((sqrt(180)*1 - sqrt(180))/sqrt(6))/sqrt(10). -1 Simplify (sqrt(17)*1 + 0 + -4)**2. -8*sqrt(17) + 33 Simplify sqrt(128)*3 - sqrt(288)/(sqrt(27)/sqrt(3)). 20*sqrt(2) Simplify ((sqrt(143) - (sqrt(143) + 6*2*sqrt(143) + sqrt(143)))/(1*sqrt(11)*-1))**2 + 0. 2197 Simplify 4 + (-5 + (sqrt(99) - (0 + sqrt(99))) - ((sqrt(99) - (-1 + sqrt(99))) + -2 + sqrt(99))**2). -101 + 6*sqrt(11) Simplify -3 + 2*sqrt(300) + sqrt(300). -3 + 30*sqrt(3) Simplify 0 + sqrt(136)/sqrt(8) + 3*(4 + sqrt(17))**2. 99 + 25*sqrt(17) Simplify (sqrt(13) - (sqrt(208)*-6 - sqrt(13)) - ((sqrt(39) + sqrt(39)*-3 + sqrt(39))/sqrt(3) + sqrt(13)))**2. 8788 Simplify (sqrt(68) - sqrt(68)*-2*-5)/sqrt(4) + 1. -9*sqrt(17) + 1 Simplify -2 + sqrt(49)/(sqrt(35)/sqrt(125)). -2 + 5*sqrt(7) Simplify (1 + -1*sqrt(7) + 4 + -2)*4. -4*sqrt(7) + 12 Simplify sqrt(34)/(sqrt(72)/sqrt(4)). sqrt(17)/3 Simplify (1 + sqrt(245) + sqrt(245) + (sqrt(20)/sqrt(4) + sqrt(5))*-1)**2. 24*sqrt(5) + 721 Simplify 1*sqrt(320) + 0 - ((sqrt(320) + 1)*-1)**2. -321 - 8*sqrt(5) Simplify (-5*(sqrt(1100) + 1) - (sqrt(1100)*1 + -4))**2. 120*sqrt(11) + 39601 Simplify ((-2 + sqrt(19) + 0)*4)**2. -64*sqrt(19) + 368 Simplify sqrt(78)/((sqrt(6) + (sqrt(6)*1 - sqrt(6)))*-3). -sqrt(13)/3 Simplify ((sqrt(171) - (sqrt(171) + -2 - sqrt(171)))*6)**2. 432*sqrt(19) + 6300 Simplify (6*(sqrt(3) + -1) - sqrt(3))**2 + sqrt(150)/sqrt(2). -55*sqrt(3) + 111 Simplify (-4 + sqrt(1377) + 2*sqrt(1377)*6 + sqrt(1
{ "pile_set_name": "DM Mathematics" }
t k = 4 + 102. List the prime factors of k. 2, 53 Let f = -5 - -7. Let q(p) = 3*p**3 + 1 + 4*p - f*p**3 - 3*p - 9*p**2. What are the prime factors of q(9)? 2, 5 Let d = 13 - 11. Suppose d*k = -2*k + 92. What are the prime factors of k? 23 Let w = 18 - -27. What are the prime factors of w? 3, 5 Suppose 1179 = 9*m - 783. What are the prime factors of m? 2, 109 Suppose -1 = 2*q - 5. Let u be q/7 + 204/21. Suppose 0 = -5*l + 35 + u. What are the prime factors of l? 3 Suppose 0 = 4*v - 5*c - 4, -41 = -4*v - 5*c + 3. Let l be (0 + v)/1 - 3. What are the prime factors of (70/(-6))/(-5)*l? 7 Let j(f) = f**2 - 6*f + 2. Let v be j(5). Let d be 4/v - (-3)/9. Let q = d - -3. List the prime factors of q. 2 Let w = 1 + 4. Suppose 5*t - w*b - 95 = 0, -67 = -4*t - b - 6. Let u = t - 8. List the prime factors of u. 2 Suppose -4*x = -p - 680, -5*x + 2*x + 2*p + 510 = 0. What are the prime factors of x? 2, 5, 17 Let n be 6/(-33) + (-4)/(-22). Suppose z - 132 = -4*f - n*z, 3*f = -z + 98. Suppose 2*v - 4*j = f, 4*j + 1 = -7. What are the prime factors of v? 13 Suppose -6*g + 5*g = -35. List the prime factors of g. 5, 7 Let h = 4 - 13. Let k = 14 - h. What are the prime factors of k? 23 What are the prime factors of (204/9)/((-2)/(-3))? 2, 17 Suppose 3*v + o = 16, -16 + 42 = 3*v - o. Let s = -3 + v. List the prime factors of 70/s - 2/4. 17 Let j = -30 - -53. What are the prime factors of j? 23 Let m(j) = 11*j**3 - j**2 + j. Let t be m(1). Suppose -4*a + t = -3*a. What are the prime factors of a? 11 Let o be 3 + (-3 - 3) + -1. Let t be 180/o*3/(-5). Let q = -14 + t. List the prime factors of q. 13 Let j = 6 - 0. Let r be (6/(-18))/((-2)/j). Let v(m) = 7*m**2 - 1. What are the prime factors of v(r)? 2, 3 What are the prime factors of 2 + 8*(-1 - -2)? 2, 5 Let a = 3 - 2. What are the prime factors of -3 + 36 - (3 + a)? 29 Let n be (-7 + -3)*(-2)/5. Suppose n*r = 7 + 17. List the prime factors of r. 2, 3 Let f be (-476)/20 - 2/10. Let q be (-1)/4 - 126/f. Suppose q*p = 4*p + 12. List the prime factors of p. 2, 3 Suppose 4*d - 81 + 9 = 0. Let r(b) = b + 3. Let j be r(-3). Suppose -d + j = -3*n. List the prime factors of n. 2, 3 Let b be -1 + (3 - (-7 - -1)). What are the prime factors of (-4)/b + (-13)/(-2)? 2, 3 Let d(i) be the second derivative of i**5/20 - i**4/3 - i**3/2 + 5*i**2/2 + i. Let t be d(4). Let w = t + 14. What are the prime factors of w? 7 Let d(r) = r**3 + r + 1. What are the prime factors of d(3)? 31 Let q be (-1)/(-5) + (-26)/5. Let n(l) = l**2 - l - 1. Let j be n(q). Suppose 0 = 4*f - 7 - j. What are the prime factors of f? 3 Let g = 51 + -24. What are the prime factors of g? 3 Let n(i) = 2*i**2 + 4*i + 7. Let f be (2/3)/((-4)/18). What are the prime factors of n(f)? 13 Let n(x) = -x**3 + 15*x**2 + 4*x - 10. List the prime factors of n(15). 2, 5 Let u = 102 + -58. List the prime factors of u. 2, 11 Suppose -220 = -x + t, t = -3*x + 6*t + 670. List the prime factors of x. 5, 43 Let x be 3*(-7)/(-3) - 2. Suppose -j = 5*i - 25, 1 = 4*i - 2*j - x. Suppose -4*s + 24 = 4*r - 2*r, -i*r + 5*s + 9 = 0. What are the prime factors of r? 2, 3 Let l(i) = -78*i + 13. What are the prime factors of l(-5)? 13, 31 Suppose b - 2 + 0 = 0. Suppose -2*f + b*q = -3*q + 9, -5*q + 24 = 3*f. Suppose r = f*r - 22. What are the prime factors of r? 11 Suppose f = 5*v + 59, 4*f - 3*v + 57 = 276. Let b = -34 + f. List the prime factors of b. 2, 5 Suppose 182 = 24*h - 22*h. List the prime factors of h. 7, 13 Let n be 1215/10*(-4)/(-6). Suppose -n = -3*c + 72. What are the prime factors of c? 3, 17 Let s(n) = 51*n**2 - 2*n - 1. Let d be s(-1). Suppose 3*z = -z + d. List the prime factors of z. 13 Suppose -4*y = v - 3*v - 88, -3*v + 108 = 4*y. List the prime factors of y. 2, 3 Suppose -5*c + 144 + 206 = 0. What are the prime factors of c? 2, 5, 7 Let c be (-115)/20 - 1/4. Let x = 8 + c. Suppose -r = x*r - 33. List the prime factors of r. 11 Let z(u) = 1. Let l(b) = -b**3 + 7*b**2 - 8*b + 12. Let w(h) = l(h) - 5*z(h). List the prime factors of w(5). 17 Let p = 113 - 53. What are the prime factors of p? 2, 3, 5 Let k = 23 - -3. List the prime factors of k. 2, 13 Let a = 3 + 4. Let t be 2*((-140)/(-8) + -4). Suppose -3*n + a = 2*q - 22, t = 2*q + 5*n. What are the prime factors of q? 2 Suppose 2*n - 7*n = 20. What are the prime factors of (0 - n)*(-50)/(-40)? 5 Suppose 2 - 4 = 4*d - 2*t, -t = 3*d + 9. Let i be -4 + (d - (-1 - -1)). List the prime factors of (-6)/(-3)*i*-1. 2, 3 Let l = -12 + 16. Suppose 7 = v - l. List the prime factors of v. 11 Let m(s) = s**3 + 2*s**2 - 3*s + 1. Let c be m(2). Let r = -21 + c. What are the prime factors of (-2)/r + 384/30? 13 Suppose 7*q - 6 = 5*q. Suppose -q*o + 2*o = -11. List the prime factors of o. 11 Let n be (3/(-2))/(12/(-16)). Suppose 3*h = -u + 8, -3*u + 8 = -n*u + 4*h. Suppose u = -3*r - 2*c + 26, -5*c + 18 = 3*r. What are the prime factors of r? 2, 3 Suppose -4*v - 3 = -43. Let n be ((-6)/(-5))/((-2)/10). Let a = n + v. List the prime factors of a. 2 Let m(h) = -16*h + 3. Let f be m(3). Let i = f + 77. List the prime factors of i. 2 Let z be (-8)/(-20) - 406/(-10). Let w be (-1)/5 - z/(-5). Suppose 2*b - 2 - w = 0. List the prime factors of b. 5 Let a = 7 + -4. Let z = 4 - 2. Suppose z*o - 25 = -5*g, -2*g = a*o + 3*g - 35. What are the prime factors of o? 2, 5 Let l(y) = -y - 8. Suppose 0 = -0*a + 5*a + 50. Let o be l(a). Let w = o - -1. List the prime factors of w. 3 Let h(z) = -z**2 + 5*z + 5. Let s(v) = -5*v**3 - v**2. Let q be s(-1). Let t be h(q). What are the prime factors of 0 + 0 + t + 2? 11 Suppose 2*h + 156 = -2*h. Let z = 58 + h. What are the prime factors of z? 19 List the prime factors of (32/(-5))/((-2)/20). 2 Let t(a) = a**3 - 7*a**2 - 9*a + 12. Let m be t(8). Let u(n) = 3*n + 4. List the prime factors of u(m). 2 Let l(n) = -9*n - 3 + 1 + 0*n + 2*n. List the prime factors of l(-3). 19 Let q(n) = -4*n**3 - 1. List the prime factors of q(-1). 3 Suppose -2*u + 27 = u. Suppose 3*w + 126 = u*w. List the prime factors of w. 3, 7 Let q(g) = g - 7. Let y be q(4). What are the prime factors of 12*((-8)/y)/2? 2 Let l be (6/(-4))/((-6)/16). Let s = 6 - l. List the prime factors of s. 2 Suppose -2*o + 5*u + 29 = 0, 3*o - 3 = 4*o + u. Suppose -b + 20 = 4*t, -o*t + 4*t - 5*b - 10 = 0. List the prime factors of t. 5 Suppose 3*j - 54 = 2*q, -j = -2*q - 7 - 11. Suppose 5*m - j = -3. Suppose 0 = 4*o - m*o - 5. What are the prime factors of o? 5 Let z(h) = h**2 + 9*h + 3. Let l be z(-8). List the prime factors of (6/8)/(l/(-80)). 2, 3 Let m = -177 - -228. List the prime factors of m. 3, 17 Let f = 51 + -71. Let w = -14 - f. List the prime factors of 78/(-9)*w/(-4). 13 Suppose -t + 68 = 3*l, 5*l - 2*t - 80 = 2*l. Suppose 0 = 2*b - 4*h + 2, 3*b + 5*h = 76 - l. Let m = b + 0. List the prime factors of m. 3 Suppose 4*k + 4*q = 400, 4*k = 4*q + 306 + 70. What are the prime factors of k? 97 Let k(f) = f**2 + 9*f + 7. Let d be k(-5). What are the prime factors of -2*3/(6/d)? 13 Suppose -a = -g + 46, -4*g + 232 = g - 3*a. List the prime factors of g. 47 Let s(r) = r**2 - r - 1. Let d(z) = 4*z**2 + 3*z. Let b(a) = d(a) - 5*s(a). Let m(u) = u**3 + 7*u**2 - 10*u - 8. Let k be m(-8). List the prime factors of b(k). 5 Suppose 2*i + 2*b - 45 = -1, 5*b + 70 = 4*i. Suppose 7*t = 2*t + i. List the prime factors of t. 2 Suppose -9 = 3*h, 2*c + 2*h - 15 - 67 = 0. List the prime factors of c. 2, 11 Let g(h) = -h**3 - 4*h**2 + h + 10. List the prime factors of g(-5). 2, 3, 5 Let h be (-1 - -1) + 5 + -3. Let k be h/8 + 11/4. Suppose 5*m + b = 14 + 4, -k*b = -m - 6. List the prime factors of m. 3 Let o(g) = -2*g**2. Let i be o(1). Let w be i/(-11) - 42/(-11). Suppose -2*u + 12 = 3*n, n - 3*u - w = -0*u. List the prime factors of n. 2 Suppose 2*k + 5*w = 400, 4*k - 669 = -w + 167. What are the prime factors of k? 2, 3, 5, 7 Let q(a) = 14*a**3 + 10*a**2 + 3*a - 5. Let u(t) = 5*t**3 + 3*t**2 + t - 2. Let s(h) = -4*q(h) + 11*u(h). What are the prime factors of s(-7)? 5 Let m be 3 - (-1 + 2 - 3). Let n = m - 2. List the prime factors of n. 3 Let y = 83 - 155. List the prime factors of (-14)/4*y/63. 2 Suppose 4*n = 3*c - 25, n - 9 = -4. Suppose -c + 4 = -d. What are the prime factors of d? 11 Suppose 0 = -3*x + 2*c + 22 + 2, 0 = -x - 2*c. Suppose 0 = -2*a + 18 - x. Su
{ "pile_set_name": "DM Mathematics" }
0*h + f = 4*h. Calculate the remainder when 23 is divided by h. 10 Suppose 3*n + 0*p + 2*p - 19 = 0, -13 = -n + p. Suppose -28*k = -24*k + 184. Let t = 80 + k. What is the remainder when t is divided by n? 7 Suppose v - 4 = 1, -10 = 5*w - 4*v. Suppose -w*a = -3 + 1. Calculate the remainder when 25 is divided by (14/10)/(a/5). 4 Let r(q) = q**3 + 10*q**2 - 2*q - 9. Let s(c) = c**3 - 5 - 12*c**2 - 5*c + 4*c**2 + 6*c**2 + 9. What is the remainder when s(5) is divided by r(-10)? 10 Suppose 3*k = -0*k - 3*x - 9, x + 4 = 0. Let j(w) = w**3 + 4*w**2 - 7*w - 12. Let q be j(-5). Calculate the remainder when ((-15)/10)/(q/4) is divided by k. 0 Suppose -1356 + 109 = -29*m. What is the remainder when 212 is divided by m? 40 Calculate the remainder when 156 is divided by 10/1 - (53 + -70). 21 Let n(o) = o**2 + o + 16. Let b be n(0). Suppose 0 = -3*p + 4*f + 28, b = -p + 3*p - 2*f. What is the remainder when 15 is divided by p? 3 Let i(w) = 6*w**2 - w - 1. Let n(j) = 3*j**2. Let h(t) = -2*i(t) + 5*n(t). Let f be h(4). Suppose -5*p + 92 = -f. What is the remainder when p is divided by 11? 8 Let f be ((-3)/9)/((-5)/(-15)). What is the remainder when 2*(f/2 + (-144)/(-9)) is divided by 7? 3 Suppose -5*x = 4*d - 68, 2*d - d + 5*x - 2 = 0. Let w = -16 + d. What is the remainder when 57 is divided by w? 3 Let k = -629 + 658. Calculate the remainder when k is divided by 11. 7 Suppose 2*b - 2 = -106. Let a = b - -66. Calculate the remainder when a is divided by 8. 6 Let b(w) = -w**2 + 22*w - 55. Calculate the remainder when b(16) is divided by 9. 5 Let x(t) = 3*t - 3. Let b be (-10)/8*(3 - 7). Suppose 5*v + 924 = 26*v. What is the remainder when v is divided by x(b)? 8 Suppose 5*q = -4*d + 17, d + q + 0 = 3. What is the remainder when -3 - (-1)/(d/(-252)) is divided by 21? 18 Let w(s) = -20*s**3 - 2*s**2 - 15*s - 14. What is the remainder when w(-1) is divided by 14? 5 Suppose -j - 2*f + 30 = 0, 4*j - 194 = -j + f. Let g = j - 31. What is the remainder when g is divided by 4? 3 Suppose u + 8 = 4*o - 3*u, 5*o + 4*u = -8. Suppose 0*l + 4*l + 3*k = 252, o = -k + 4. Suppose -4*q = q - l. What is the remainder when 35 is divided by q? 11 Suppose 0*m - 5*m - 55 = 0. Let s = m - -31. What is the remainder when s is divided by 4? 0 What is the remainder when -1 + 1*4 - (-164 + 139) is divided by 18? 10 Let h = 1115 + -1087. Suppose 5*q = -0*q + 50. What is the remainder when h is divided by q? 8 Suppose 0 = 5*o - 3*s - 74, 2*o = -2*s + 7*s + 41. Let p = -11 + 11. What is the remainder when 54 + p + (-1 - 2) is divided by o? 12 Let w(x) = x**3 + 10*x**2 + 3*x - 5. Let v be w(-9). Let o = -16 + v. Calculate the remainder when o is divided by 12. 9 Let d = 36 + 227. What is the remainder when d is divided by 33? 32 Let m = -9 - -9. Suppose -2*c - 22 - 10 = m. Let v = -6 - c. What is the remainder when 36 is divided by v? 6 Let c = -226 + 384. Suppose 0 = -3303*s + 3299*s + 216. What is the remainder when c is divided by s? 50 Suppose 22*z - 46 - 64 = 0. Suppose p + 3 = -1, 0 = 4*s + 2*p - 44. What is the remainder when s is divided by z? 3 Let z = -21 - -23. Suppose 0 = -3*d + c + c + 31, d - z = -c. What is the remainder when d is divided by 3? 1 Suppose -4*t + q = -245, 246 = 4*t - 5*q + 13. What is the remainder when 185 is divided by t? 61 What is the remainder when (0 + (-90)/(-40))*88 is divided by 50? 48 Let j(b) = 4*b - 2. Let m be j(1). Suppose -224 = -m*l - 5*l. Calculate the remainder when 127 is divided by l. 31 Let p be 18/(-12)*(-3)/((-9)/4). Suppose -3*x - 9 = -3*h, -21 = -5*h + 3*x - 0. What is the remainder when h is divided by (5/p)/((-15)/12)? 0 Let b = 288 - -671. What is the remainder when b is divided by 13? 10 Suppose -48*t + 1053 = -915. What is the remainder when t is divided by 25? 16 Let s be (40 - -3)*3/(-3). Let r = -28 - s. What is the remainder when (-3 + -69)*1/(-1) is divided by r? 12 Let v = 70 + -42. Let g(c) = -c**2 + 14*c + 42. What is the remainder when v is divided by g(16)? 8 Let g(b) = -b - 6. Let d(h) = 5*h + 31. Let n(a) = 2*d(a) + 11*g(a). What is the remainder when n(-9) is divided by 3? 2 Suppose -2*x - 4*b - 116 = -324, -4*x + 4*b + 464 = 0. Calculate the remainder when x is divided by 2. 0 Suppose -3*m + s = -32, 0 = -3*m + 6*m - 2*s - 34. Calculate the remainder when 49 is divided by m. 9 Suppose -g + 21 = -3*a, -2*g - a = -5*a - 40. Calculate the remainder when 15 is divided by (3 + -2)/1*(g + -7). 4 Let c(j) = -3*j**3 + j**2 + j. Let p be c(1). What is the remainder when 11 is divided by p - (2 + -4) - -5? 5 What is the remainder when (0 - -1)*(-2947)/(-4 + -3) is divided by 47? 45 Let u(w) = w + 4. What is the remainder when u(7) is divided by 69/15 - (-4)/10? 1 Let m(i) = -3*i**2 - 9*i + 4. Let x be m(-3). Suppose x*b - 24 = 40. Calculate the remainder when 31 - (2/1 - 2) is divided by b. 15 Let d be -3 - 0 - (-14)/2. Suppose -4*a = d*a - 344. Calculate the remainder when a is divided by ((-2)/(-4))/(2/44). 10 Suppose -1325 = -5*v - 860. Calculate the remainder when v is divided by 29. 6 Calculate the remainder when 233 + -1 - (32 + -31) is divided by 39. 36 Suppose -7*x - 152 = -215. Let m(h) = 4*h**2 + h - 1. Let i = 3 + -2. What is the remainder when x is divided by m(i)? 1 Let m = 31 - 14. Let x be (7/((-7)/(-193)))/(-1). Let b = 203 + x. What is the remainder when m is divided by b? 7 Let z = 7 - -9. Suppose -2*b - z = -0*b. What is the remainder when 1638/24 + 2/b is divided by 23? 22 Let t = -23 - -48. Let g = -8590 - -8599. Calculate the remainder when t is divided by g. 7 Let d(j) = -4*j - 8. Let b be d(-2). Calculate the remainder when (48/(-14))/(3/(-21)) + b is divided by 7. 3 Suppose 0 = -98*u + 91*u + 224. Calculate the remainder when u is divided by 18. 14 Suppose -2 = -2*h + 2. Suppose -z + h = -60. What is the remainder when z is divided by 21? 20 Suppose 0 = 22*o - 492 - 3094. Calculate the remainder when o is divided by 29. 18 Suppose 2*p + 12 + 2 = 5*v, 5*v + 4*p - 2 = 0. Calculate the remainder when 1152/(-384)*(-2 - (-1)/3) is divided by v. 1 Suppose 18 = 3*d - 3*z + 5*z, 2*d - 12 = z. What is the remainder when 98 is divided by (-3)/d + (-123)/(-6)? 18 Let f(r) = -r + 62. What is the remainder when f(16) is divided by 7? 4 Let p = -26 - -21. What is the remainder when (-1 - p) + 23*1 is divided by 7? 6 Let l be 246/(-15)*(-10)/4. Suppose -l - 182 = -o. Suppose 5*i - 152 = o. What is the remainder when i is divided by 20? 15 Suppose 4*q - 22 = -5*n, 2*n + 0*q = 5*q + 22. Suppose -15 = a - n*a. Calculate the remainder when ((-22)/4)/((-2)/4) is divided by a. 2 Suppose 3*r = -252 - 96. What is the remainder when 3*r/(-12) - -3 is divided by 11? 10 Suppose b + 3*b = 0. Suppose -2*g + 7 - 1 = b. Calculate the remainder when 3 is divided by (20/8 - g)*-2. 0 Suppose 2*n = -w + 39, 8*n - 3*n + w = 90. Suppose 7 = 2*x - o, 3*x = o - 5*o - n. Let f(m) = 15*m + 1. Calculate the remainder when 47 is divided by f(x). 15 Calculate the remainder when 385 is divided by ((-1)/3)/(145/(-1305)). 1 Let q = -39 + 39. Calculate the remainder when (-1 - q)*19*-1 is divided by 4. 3 Let t = 9 + -3. Let a = 5206 + -5165. What is the remainder when a is divided by t? 5 Suppose -5*i + 13 = -3*j - 122, 2*j + 110 = 4*i. Suppose -i = -4*a + 70. Suppose -p - p = 5*r - a, 16 = 2*r + 2*p. What is the remainder when r is divided by 1? 0 Suppose 7*h - 120 = -50. Calculate the remainder when 28 is divided by h. 8 Let h(f) = -20*f**3 + f**2 + 3*f + 3. Let v(u) = -1. Let b(q) = h(q) + 2*v(q). Calculate the remainder when 56 is divided by b(-1). 18 Suppose 0 = -i + 1, 5*a + 2*i + 140 = 497. Calculate the remainder when 140 is divided by a. 69 Suppose 0*h - 4*h = 5*b - 76, 66 = 5*h - b. What is the remainder when h is divided by 8*4*(-1)/(-4)? 6 Suppose 4*t = -0*v - 4*v + 12, 5*t - 2*v + 13 = 0. What is the remainder when 11 is divided by ((-6)/(-7))/(t/(-7))? 5 Let v = 218 - 444. Let q = 255 + v. Suppose -f + 228 = 3*f. What is the remainder when f is divided by q? 28 Suppose -3*l - 156 = -16*l. What is the remainder when 99 is divided by l? 3 Let i be 5/((-20)/16) - -11. Let p(q) = q**2 - 4*q + 7. What is the remainder when p(i) is divided by 10? 8 Let t(u) = -u**3 + 12*u**2 + 15*u - 19. Let d be t(13). Suppose -d*c = -6*c - 15. What
{ "pile_set_name": "DM Mathematics" }
f -419745*i**4 + 2774*i**2 - 55 wrt i? -10073880*i What is the second derivative of -68962*m**5 + 142248*m + 2? -1379240*m**3 Find the second derivative of -120642*h**5 + 2*h**3 + 468063*h wrt h. -2412840*h**3 + 12*h Find the second derivative of 2*c**4 - 13*c**3 - 206*c**2 + 63686*c wrt c. 24*c**2 - 78*c - 412 What is the derivative of -215*u*x**2 - 57*u*x - u - 21099*x**2 wrt u? -215*x**2 - 57*x - 1 What is the first derivative of -104*z**2 + 1061*z - 327436? -208*z + 1061 What is the third derivative of 3*f*o**4 - f*o**3 + 44*f*o**2 - 234*o**4 + 123*o**3 - 6*o**2 + 7*o + 26 wrt o? 72*f*o - 6*f - 5616*o + 738 Find the first derivative of -45033*k + 76968 wrt k. -45033 Find the third derivative of -248515*i**5 - 350855*i**2. -14910900*i**2 Find the second derivative of -50022*r**3 - 2*r**2 - 4*r + 1031. -300132*r - 4 Find the third derivative of -17*l**3*n - 1010*l**3 + 12*l**2 + 79*l - 19*n wrt l. -102*n - 6060 Find the first derivative of -71*j*w**4 - 21*j*w**2 - 42*j - 2*w**4 - 8 wrt w. -284*j*w**3 - 42*j*w - 8*w**3 What is the third derivative of -2*b**4*w - 9*b**4 - 4*b**3*w + 2*b**3 + 1274*b**2*w - b**2 - 7*b + w wrt b? -48*b*w - 216*b - 24*w + 12 Find the third derivative of -54*r**3*x**2*z + 6224*r**3*x*z**2 - 8*r**2*x*z**2 + 8*r**2*x*z - r**2*z - 23*r*x**2*z**2 - 10*r*x*z**2 wrt r. -324*x**2*z + 37344*x*z**2 Find the third derivative of -2230358*w**5 - 19251*w**2 - 19. -133821480*w**2 Find the second derivative of -2*f*k**2*n**2 - 2*f*k*n**2 + 52*f*n - 90034*k**2*n**2 + 2*k*n**2 - k + 31*n**2 wrt k. -4*f*n**2 - 180068*n**2 What is the second derivative of 2*k**2*m*w**2 - 583*k**2*m - 8*k**2*w**2 - 2*k*m*w**2 + 178*k*m*w - 2*m - 6*w - 2 wrt k? 4*m*w**2 - 1166*m - 16*w**2 Find the first derivative of 2*c**2*j**3 + 14233*c**2 + 80971*j**3 wrt c. 4*c*j**3 + 28466*c What is the first derivative of -210109*t + 702194 wrt t? -210109 What is the first derivative of -714020*k + 590807 wrt k? -714020 What is the first derivative of -1948*c**3*g**4 + c**3*g - 2145*c**3 + 46*g - 19 wrt g? -7792*c**3*g**3 + c**3 + 46 What is the derivative of 654*y**3 - 3*y + 633? 1962*y**2 - 3 What is the third derivative of 824*f**5 + 180*f**4*l - 119*f**2 + 56*l wrt f? 49440*f**2 + 4320*f*l What is the third derivative of 22*t**6 + 564*t**5*y**2 + t**2*y**2 + 5*t**2*y + 36*y**2 wrt t? 2640*t**3 + 33840*t**2*y**2 Find the second derivative of 8005*h**3 + 107*h**2 - 2352197*h wrt h. 48030*h + 214 What is the third derivative of -7*z**6 - 1894*z**4 + 16947*z**2 wrt z? -840*z**3 - 45456*z Find the second derivative of 111*d**2*f**3*y**2 - 259*d**2*f**2*y**3 + 4*d*f**3 + 17*d*f**2*y**3 + 35*d*y**2 wrt d. 222*f**3*y**2 - 518*f**2*y**3 What is the second derivative of 4501171*c**2 + 171082*c - 2? 9002342 What is the derivative of -671562*p**4 + 500290? -2686248*p**3 What is the second derivative of 4*d**2*k**3 + 27*d**2*k - 373*d*k**3 + 6*k**3 - 43*k wrt k? 24*d**2*k - 2238*d*k + 36*k What is the derivative of -9*f*o*w + 188*f*w - f - o**3 - 372*o*w - 12*w - 1 wrt o? -9*f*w - 3*o**2 - 372*w What is the second derivative of 497343*a**3 - a**2 - 761491*a wrt a? 2984058*a - 2 What is the third derivative of 11*a**6 + 94*a**5 + 52*a**3 - 65*a**2 + 80*a - 3 wrt a? 1320*a**3 + 5640*a**2 + 312 Find the first derivative of -636*d*s**2 + 12*d - 2*s**2 - s + 160332 wrt d. -636*s**2 + 12 Differentiate -31178*t + 31753 wrt t. -31178 What is the second derivative of 79446*d**2 - 12790*d - 2 wrt d? 158892 Differentiate -106*m*n - m + 14152*n wrt m. -106*n - 1 Find the third derivative of -4*f**5*j - 215955*f**4*j**3 + f**2*j**3 - 1746*f**2*j - f*j - 2*j**2 wrt f. -240*f**2*j - 5182920*f*j**3 Find the second derivative of -13409*c**5 - 1097*c. -268180*c**3 Differentiate 32877*o**2 - 2*o - 56532 with respect to o. 65754*o - 2 What is the derivative of -5*r**4 + r**2 - 3681*r + 75715 wrt r? -20*r**3 + 2*r - 3681 Find the second derivative of 4414*c*l**3 - 256*c*l - 24*l**3 + 28*l - 3 wrt l. 26484*c*l - 144*l What is the third derivative of -440671*m**3*y - 187*m**2 + 2*m*y + 10*y - 106 wrt m? -2644026*y Differentiate -8*t*w**2 + 34*t + 171916*w**2 - 7190 wrt w. -16*t*w + 343832*w Find the third derivative of i**3*w**3 - 26*i**3 - 25*i**2*w**2 - i**2*w - 158*i*w**3 - 4*i*w - 28*w**3 wrt w. 6*i**3 - 948*i - 168 What is the derivative of -3576*j*m**3*p + 5625*j*m**3 wrt p? -3576*j*m**3 Differentiate -28401*a**3*z**3 - 1010*a**3 - 3*a**2 + 1 wrt z. -85203*a**3*z**2 What is the first derivative of 14284*f**2*o**3 - 3*f*o**3 - 281623*o**3 wrt f? 28568*f*o**3 - 3*o**3 What is the third derivative of 273575*v**5 - v**2 - 14*v + 273 wrt v? 16414500*v**2 What is the second derivative of -521283*t**3 - 3735*t + 3? -3127698*t Find the second derivative of -7*d**5*f - 1699*d**3*n + 2*d*f*n + d*f - 2*d + n - 74 wrt d. -140*d**3*f - 10194*d*n What is the second derivative of -68*l**4 - 8*l**3 + 107*l**2 + 739450*l wrt l? -816*l**2 - 48*l + 214 What is the first derivative of -115601*w + 19343? -115601 Find the third derivative of -1261808*d**4 - d**2 - 3*d - 32716. -30283392*d Find the third derivative of 145560*z**6 - 2*z**2 + z + 3471 wrt z. 17467200*z**3 What is the first derivative of -314108*f**2 - 277976? -628216*f Find the third derivative of -2753644*t**4 - 5*t**2 - 18545*t + 1. -66087456*t Differentiate 38755*v*w + 372117*w with respect to v. 38755*w Find the first derivative of -486653*o**2*q + o**2 - 15*o - 83 wrt q. -486653*o**2 Find the third derivative of 12993*q*x**3 - q*x**2 + 5*q*x - 61*q + 25*x**5 - 57*x**2 - 1 wrt x. 77958*q + 1500*x**2 Differentiate 98397*g**3*j - 589*g**3 + 5*g**2 with respect to j. 98397*g**3 Find the first derivative of -13*h**2*r**3 + 2*h**2*r + 9*h**2 + 39*h - 42*r**3 - 2523*r**2 wrt h. -26*h*r**3 + 4*h*r + 18*h + 39 What is the second derivative of 4203538*g**2*v + 21*g*v - 1553*g + v - 21 wrt g? 8407076*v Find the first derivative of 4434*k*r + 20*k - 2585228*r wrt k. 4434*r + 20 Find the third derivative of 93364*t**3 - 7*t**2 + 1099*t wrt t. 560184 Find the second derivative of -2*h**2*m**3 - 139*h**2*m - h**2 + 73*h*m**3 - 17*h*m + 165*m**3 wrt m. -12*h**2*m + 438*h*m + 990*m What is the second derivative of a**2*b**3 + 46*a**2*b**2 + 4*a**2*h - a**2 - 3*a*b**3*h + 14*a*b**3 + 104*a*b - 25*b**2*h + 2*b*h wrt a? 2*b**3 + 92*b**2 + 8*h - 2 What is the second derivative of 264*f**4*z**2 - 8*f**3*z + 2*f**2*z - 177*f*z - 8*z**2 - z wrt f? 3168*f**2*z**2 - 48*f*z + 4*z What is the second derivative of -408*s**2*x - 107*s**2 + 2812*s*x + s + 2*x wrt s? -816*x - 214 Find the first derivative of 4*o*y**2 + 31915*o*y - o + 552567*y**2 wrt o. 4*y**2 + 31915*y - 1 What is the first derivative of 3778*u**4*w**3 + 15*u**3*w**3 + 255788*w**3 + 2*w wrt u? 15112*u**3*w**3 + 45*u**2*w**3 What is the first derivative of 19146*l**3*u**3 - 3*l**3 - 4686*l**2 - 11*l*u**4 + 2*l + 2 wrt u? 57438*l**3*u**2 - 44*l*u**3 What is the second derivative of p**5 - 101660*p**4 + p**2 + 4393*p + 41? 20*p**3 - 1219920*p**2 + 2 Find the second derivative of -17599*g**5 - 78*g + 154 wrt g. -351980*g**3 Find the third derivative of -1774*g**4 - 72*g**3 - 6*g**2 + 23*g - 110 wrt g. -42576*g - 432 Differentiate -39575*c**2*l - 14726*l with respect to c. -79150*c*l What is the derivative of -466833*m**4 + 586231 wrt m? -1867332*m**3 What is the third derivative of 823047*p**3*q**3 + 6*p**3 + 88885*p*q**2 wrt q? 4938282*p**3 Find the first derivative of -1660*t*v**2 + t*v*y - 3*t*v - 7*t*y + 42810*v**2 + 6*y wrt t. -1660*v**2 + v*y - 3*v - 7*y Find the third derivative of f*l**2*n**3 - 9*f*l*n + 9*l**2*n**2 - 2*l**2*n - 22*l*n**2 - 26519*n**3 + 2*n wrt n. 6*f*l**2 - 159114 Find the third derivative of -1049243*c**3*g**2*j - 9*c**2*j - 40*c*g + c*j + 3*g**2*j - 3*g**2 wrt c. -6295458*g**2*j Differentiate 6*b**2*s + 440*b*s**3 - s**3 + 411*s with respect to b. 12*b*s + 440*s**3 What is the third derivative of h*o**5*s - 4*h*s - 3708131*o**6 - 13471*o**2*s - 25*o**2 wrt o? 60*h*o**2*s - 444975720*o**3 Differentiate -30155*a*j - 3*a + 722782*j with respect to a. -30155*j - 3 What is the third derivative of -114076*p**3 - 134178*p**2? -684456 Find the second derivative of 39*h**2*l**2 + 13*h**2*l - 2*h**2 - 19910*h*l**2 + 259*h*l - h - 9*l wrt l. 78*h**2 - 39820*h What is the second derivativ
{ "pile_set_name": "DM Mathematics" }
*k - 21 = -2*c + c, 5*c - y*k - 45 = 0. Suppose -6*n + c = -2*h - n, -3*h + 35 = n. List the prime factors of h. 2, 5 Let h = -6 - -6. Suppose h = -8*x + 5*x + 39. List the prime factors of x. 13 Suppose x = -x - 12. Let o = -19 + 10. List the prime factors of 12*x*2/o. 2 Let x = 16 + -14. Suppose -4*b + c + 9 = 2, -10 = -2*c. Suppose -x = -i + b. What are the prime factors of i? 5 Suppose 0 = -4*w - 2*m + 868, 0 = -3*w - 3*m + 8*m + 638. What are the prime factors of w? 2, 3 Let t(o) = -o - 5. Let u be t(-6). What are the prime factors of 2 + (u - -1) - -1? 5 Suppose 1698 + 300 = 18*m. What are the prime factors of m? 3, 37 Suppose 5*z - 5*w + 7 = -18, 4*w = -4*z + 12. List the prime factors of (-10 + 5)/(z/6). 2, 3, 5 List the prime factors of (-48)/(3*(-5)/10). 2 Let v = -33 + 48. Let x be 10/3*(-18)/v. Let t(i) = -i**2 - 8*i - 2. List the prime factors of t(x). 2, 7 Suppose 0*m - 5*m = -3*g - 260, 93 = 2*m + g. What are the prime factors of m? 7 Let y(f) be the third derivative of f**5/20 + f**4/8 - f**3/2 + f**2. List the prime factors of y(2). 3, 5 Let u = 111 - 63. Suppose -3*n = -4*k + 67, 3*k - u = -0*n + 3*n. List the prime factors of k. 19 Let d be (106/(-3))/(16/24). Let c = d - -97. List the prime factors of c. 2, 11 Let k(m) be the first derivative of -1 - 5/3*m**3 + 3/2*m**2 - 2*m + 1/4*m**4. List the prime factors of k(5). 13 Suppose q = -q + 8. Suppose 0*p + y + 2 = q*p, p - 10 = 5*y. Suppose 2*r - 5*r - b = -27, 5*b = p. List the prime factors of r. 3 Let s(c) = c**3 - 6*c**2 - 7*c + 5. Let n be s(7). Suppose -52 = n*x - 142. List the prime factors of x. 2, 3 Let x(a) = -a + 4. Let h be x(5). Let r = h - -14. List the prime factors of r. 13 Let a(s) = -s**3 + 7*s**2 + 7*s + 9. Let w be a(8). Let c = 3 + w. List the prime factors of c. 2 Let d = 9 - -3. What are the prime factors of d? 2, 3 Let o = 5 - 3. Let k be 2/((o/4)/(-1)). Let f = 8 + k. List the prime factors of f. 2 Suppose 2*l - 16 = 5*x, 0*l = -2*l + 3*x + 16. Let z(q) = q**3 - 7*q**2 - 5*q - 4. List the prime factors of z(l). 2, 5 Suppose 0 = -5*j + 3*j - 4*t + 16, -3*j - 26 = -4*t. List the prime factors of (-5)/j*32/10. 2 Let n(s) = -s**3 - 13*s**2 + 11*s - 16. Let x be n(-14). Let j = 45 + -25. Suppose w - x = 4*a, j = -3*a - a. What are the prime factors of w? 2, 3 Let s be 50*-1 - (-2 - 0). Let k be ((-1)/2)/((-4)/s). Let m = k - -11. What are the prime factors of m? 5 Suppose 7 = w + 3. Let j be (-98)/(-6) - w/(-6). What are the prime factors of j - 4/2 - -2? 17 Suppose 2*w + 2*w = 44. What are the prime factors of w? 11 Let i = 66 - 9. Let w(x) = -x**3 - 4*x**2 - 3*x + 3. Let d be w(-3). Suppose 6*g - d*g - i = 0. List the prime factors of g. 19 Suppose 177 = 4*p - 5*r, -3*p = 2*r - 4*r - 138. What are the prime factors of p? 2, 3 List the prime factors of (-102)/(-2) + (3 - 8). 2, 23 Let d(s) = -s**3 - 12*s**2 + 11*s - 5. Let y be d(-13). Suppose -y = -z + 21. What are the prime factors of z? 2, 3, 7 Let u = 275 + -213. What are the prime factors of u? 2, 31 List the prime factors of (185 + 1)*(-2)/(-4). 3, 31 Let z = 144 + -51. What are the prime factors of z? 3, 31 Let f(d) = -d + 2*d - 7 + 6. What are the prime factors of f(7)? 2, 3 Let y be (-1 - -1) + (2 - 1). Let d = 23 + -28. List the prime factors of d/(-1*(2 - y)). 5 Let t(z) = -4*z**3 + 3*z**2 + 8*z. Let f be t(-6). What are the prime factors of (2/(-6))/((-7)/f)? 2, 11 Suppose -w + 2*w = 13. List the prime factors of w. 13 Let y(u) = -u**2 - 10*u - 5. Let x(l) = -l**3 - l - 9. Let a be x(0). List the prime factors of y(a). 2 Suppose y - 6 = 2. Let g be (-27)/2*y/(-12). Let a(x) = x - 5. What are the prime factors of a(g)? 2 Suppose -4*n = -266 + 62. Suppose -131 + n = -5*v. List the prime factors of v. 2 Suppose 3*r = -5*v + r + 240, -v - 4*r = -48. List the prime factors of v. 2, 3 Suppose 0 = 2*o + m - 1, -2*o + 5*o = -3*m + 3. Suppose o = -5*r + 3*r. List the prime factors of 21 + (r - 0)/(-1). 3, 7 Suppose 2*i + 2 = 4. Suppose -2*q + 4*k = 2, 2*q - 7 = 2*k + i. What are the prime factors of q? 3 Let b = -125 - -286. List the prime factors of b. 7, 23 Suppose -5*v = -2*f + 28, 5*f + 5*v - 70 = -0*f. Suppose -3*q + 6 = 2*j + j, 2*j = 8. Let s = q + f. What are the prime factors of s? 2, 3 Let a(m) = m - 2 + 1 + 3 - 1. Let s be a(-6). Let c(w) = w**3 + 5*w**2 + 5. What are the prime factors of c(s)? 5 Let j be 0 + 1 + (-2 - -3). Suppose l - 18 = 6*t - 2*t, -2*l + 12 = -j*t. What are the prime factors of l? 2 Suppose -1988 = -15*h + h. List the prime factors of h. 2, 71 Suppose 3*l = -l + 268. What are the prime factors of l? 67 Let w(l) = -l**3 + l**2 + 5. Let d be w(0). Suppose d*u - 5*h - 20 = 0, -3*u + 0*u + 4*h = -10. Suppose -n - u = -3*n. List the prime factors of n. 3 Suppose -20 = -3*c + 2*u, 15 = -3*c + 6*c - 3*u. Suppose -4*l + 2 = -c. Suppose -8 - 4 = -l*j. List the prime factors of j. 2 Let o(p) = -p**3 + 14. Let v be o(0). Let r(w) = w**2 + 8*w + 10. Let m be r(-7). Suppose k + v = m*k. What are the prime factors of k? 7 Let y(a) = a**3 - 6*a**2 + 7*a - 6. Let c be y(4). Let w = -2 - c. What are the prime factors of w? 2 Let o(q) = q**2 - 10*q + 3. Let d be o(4). Let x = 32 + d. Let f = 22 - x. List the prime factors of f. 11 Suppose -j + 6*d + 119 = 2*d, -292 = -3*j - d. What are the prime factors of j? 3, 11 Let g = -324 + 618. What are the prime factors of g? 2, 3, 7 Let d(i) = -5*i**3 - 7*i + 7*i - 1. List the prime factors of d(-1). 2 Let j(l) = -l**2 + 10*l + 5. What are the prime factors of j(8)? 3, 7 Let h(g) = -15*g + 2. Let i be h(-5). Suppose -4*m = -j - i, 3*j = -j - 4. List the prime factors of m. 19 Suppose s - u = -3*u - 38, 4*u = 3*s + 164. Let n be s/(-21) - (-2)/(-7). Suppose -n*q - 20 = -6*q - 3*d, 2*q - 10 = -d. List the prime factors of q. 5 Let q(y) = -2*y**3 - y**2 - 5. What are the prime factors of q(-3)? 2, 5 Let o be (-3)/(-9) + 8942/(-6). List the prime factors of (-1)/(-5) + o/(-50). 2, 3, 5 Suppose -2*n - i - 103 = 0, n + 0*n + 29 = -5*i. Let j = -28 - n. What are the prime factors of j? 2, 13 Suppose 0 = 13*u - 9*u - 652. List the prime factors of u. 163 Let y = 6 - -3. What are the prime factors of -18*(-2 - (-15)/y)? 2, 3 Let o = -6 + 5. Let p = 2 - o. What are the prime factors of p? 3 Suppose 0 = 41*a - 42*a + 110. What are the prime factors of a? 2, 5, 11 Let l(h) = -3*h + 1. Suppose 5*j - 8 - 2 = 0. Let k be (-8)/j - (-6)/2. List the prime factors of l(k). 2 Let r(c) = c**3 + 8*c**2 + c + 11. Let q be r(-8). Let m be (4/6 - 1)*q. What are the prime factors of (0 + -23 - -3)*m? 2, 5 Let p(q) = 3*q**2 - 3*q + 14. List the prime factors of p(9). 2, 5, 23 Suppose q + 3*j + 7 = 0, -q + 4*q + 2*j + 7 = 0. Let k be q/(-1)*11/1. What are the prime factors of 156/k + (-6)/33? 2, 7 Let j be 0/7 + (0 - -7). Let k = -5 + j. What are the prime factors of k? 2 Let x be -1 + (29 - -1) + -2. Suppose -2 = w - 4. Suppose w*n - x = -n. List the prime factors of n. 3 Let a(f) = 9*f**2 - 2*f - 1. Let o be a(-1). Let d = o - 19. Let h(t) = t**2 + 8*t + 13. What are the prime factors of h(d)? 2, 11 Suppose 0*q - 2*q + 254 = 0. Suppose -4*x + q = 39. What are the prime factors of x? 2, 11 Suppose 3*t + 4*u - 114 = 0, -3*t + 38 = -2*t + 4*u. What are the prime factors of t? 2, 19 Suppose -34 = -4*g + 18. Let n = 23 - g. List the prime factors of n. 2, 5 Let l(t) = -4*t**3 - t**2 - 2*t - 1. Let a = 4 + -5. Let v be l(a). Let b(m) = -m**3 + 4*m**2 + 3*m - 3. What are the prime factors of b(v)? 3 Let h(g) be the first derivative of -g**2 + g + 3. What are the prime factors of h(-3)? 7 Suppose 11 = q - 58. What are the prime factors of q? 3, 23 Let u be (-187)/(-3) + (-8)/(-12). Suppose 4*h - 5 - u = 0. Suppose -4*m + h = 3*c, 10 = m - 6*c + c. What are the prime factors of m? 5 Suppose k = 9 - 2. Suppose 0 = -3*i + k*i + 4. Let g = 13 + i. List the prime factors of g. 2, 3 Suppose 3*d = y + 3*y + 12, -4 = -d + 2*y. Suppose -a + 24 = -d*p + 3*a, 5*p + 30 = -4*a. What are the prime factors of 8 + p/3 + 0? 2, 3 Let s = -115 - -164. What are the prime factors of s? 7 What are the prime factors of (3 + 17/(-2))/(2/(-36))? 3, 11 Let j = -636 + 921. List the prime factors of j. 3, 5, 19 List the prime factors of 5*1/((-15)/(-192)). 2 Let w(g) = g - 1. Let s(x) = 2*x - 9. Let y
{ "pile_set_name": "DM Mathematics" }
0*z. What is z*g(r) + 9*w(r)? -r + 1 Let o(z) = -1. Suppose 4*b - 2*b - 5 = -3*q, 0 = 5*b + 2*q - 18. Let d be 2 - (b + -5 - -2). Let s(y) = y**2 - 3. Calculate d*s(r) - 3*o(r). r**2 Let r(h) = -3*h**3 + 2*h**2 - 2*h + 11. Let l(q) = -10*q**3 + 7*q**2 - 6*q + 33. Calculate -2*l(j) + 7*r(j). -j**3 - 2*j + 11 Suppose 4*n + 11 = 7. Let c(i) = 2*i**2 + 2*i + 1. Let f(z) = z - 1. Give n*f(k) - c(k). -2*k**2 - 3*k Let k(j) = -79*j**2 - 17*j + 9. Let v(c) = -27*c**2 - 6*c + 3. Determine 6*k(r) - 17*v(r). -15*r**2 + 3 Let l(d) = -d**3 + 1. Let z(t) = 4*t**3 - 3*t - 4. Let a(o) = 2*o**3 + 66*o - 67. Let g be a(1). Determine g*z(h) + 5*l(h). -h**3 - 3*h + 1 Let z(u) = -2*u**3 + 7*u**2 - 6*u + 1. Let y = 1867 - 1873. Let i(t) = -10*t - 8*t**3 + 20*t**2 + 3 + 2*t**3 - 7*t. What is y*i(o) + 17*z(o)? 2*o**3 - o**2 - 1 Let i = -132 + 133. Let d(g) = -g**3 - g - 1. Let c(y) = 8*y**3 + 6*y + 5. Calculate i*c(a) + 5*d(a). 3*a**3 + a Let d(y) = -2*y**3 - 1. Let k(t) = -321*t**3 - 214. Give 214*d(r) - k(r). -107*r**3 Let n = -3 - -6. Let i(l) = 4*l - 1. Let z(g) be the second derivative of -g**3/6 + 384*g. Calculate n*z(o) + i(o). o - 1 Let m(j) be the first derivative of -2*j**2 - 68. Let w(u) = -15*u. Let v(i) = i. Let k(l) = -10*v(l) - w(l). Give -4*k(n) - 6*m(n). 4*n Let u(g) be the third derivative of -14*g**2 + 0*g + 0 - 1/6*g**3 + 1/24*g**4. Let r(p) = 2*p - 1. What is 4*r(y) - 4*u(y)? 4*y Let c = -706 + 695. Let q(a) = 14*a**3 + 11*a**2 + 6*a + 35. Let s(k) = 5*k**3 + 4*k**2 + 2*k + 12. What is c*s(n) + 4*q(n)? n**3 + 2*n + 8 Let s(a) = -4*a**2 + 10*a + 1. Let f(o) = 3*o**2 + 11*o + 10. Let y(w) = 2*w**2 + 6*w + 6. Let h(g) = -3*f(g) + 5*y(g). Give 14*h(x) + 4*s(x). -2*x**2 - 2*x + 4 Let g(z) be the second derivative of -2*z**3/3 + z. Let f(o) = 9*o + 1. Let b(p) = -2*f(p) - 5*g(p). Let y(i) = -4*i + 4. What is -5*b(d) - 2*y(d)? -2*d + 2 Let k(u) = -u**3 - u - 1. Let c(w) = 4*w**3 - 2*w**2 + 2*w + 5. Let p be (6 - 4) + 2/8*0. Let v be (10/30)/(p/(-6)). Calculate v*c(j) - 2*k(j). -2*j**3 + 2*j**2 - 3 Suppose -1 = 2*k - 7. Let p = k - 11. Let x = p + 6. Let y(v) = v - 3. Let n(m) = -3*m + 7. Determine x*n(d) - 5*y(d). d + 1 Let v(j) = -j. Let i(n) = -8*n + 0 - 8 - 4 + 10. Calculate i(a) - 5*v(a). -3*a - 2 Let t(q) = -4*q**3 - 2*q**2 + 3*q + 5. Let r(y) = -1275*y**3 + 3*y**2 + 1276*y**3 - 2*y**2 - 1 + 0*y**2. What is 2*r(z) + t(z)? -2*z**3 + 3*z + 3 Let z(y) be the first derivative of 2*y**3 - y**2 - y + 413. Let v(u) = -2*u**2 + u. What is -8*v(a) - 3*z(a)? -2*a**2 - 2*a + 3 Let r(q) be the second derivative of 0 - 24*q + 5/6*q**3 + 3/2*q**2. Let x(j) = 4*j + 3. What is -6*r(u) + 7*x(u)? -2*u + 3 Let x(q) = 2*q**3 + 5*q**2 + 2*q - 3. Let i(u) = 705 + 3*u + 2*u**2 + 4*u**2 + 2*u - 709 + 3*u**3 - 2*u. Determine 3*i(f) - 4*x(f). f**3 - 2*f**2 + f Let b be (-22)/22*(-2)/(2/1). Let j(a) = -a. Let k(p) = 10 - 4 + p - 6. What is b*j(h) - k(h)? -2*h Let j(z) = 3*z + 504. Let n(l) = 2*l + 254. Give -3*j(v) + 5*n(v). v - 242 Let j(f) = -3*f**3 + 14*f**2 + 7*f + 213. Let d(c) = -2*c**3 + 8*c**2 + 4*c + 107. What is -7*d(a) + 4*j(a)? 2*a**3 + 103 Let p(n) = n**2 + 4*n - 41. Let q be p(5). Let y(a) = -6*a + 2. Let v be (1*8)/(-2) - 1. Let o(r) = -5*r + 2. Give q*y(w) + v*o(w). w - 2 Let f(z) = -77*z**2 - 25*z - 3. Let l(n) = 38*n**2 + 15*n + 1. Calculate -3*f(i) - 5*l(i). 41*i**2 + 4 Let c(a) = 4*a - 3. Let k(d) = -d + 2. Give 3*c(j) + 7*k(j). 5*j + 5 Let s(b) = -3*b**2 + 5*b - 4. Let f(y) be the second derivative of -y**4/6 + y**3/2 - 3*y**2/2 + 143*y. Determine -8*f(v) + 5*s(v). v**2 + v + 4 Let r(j) be the second derivative of j**4/6 - j**3/2 - 3*j**2 + 4*j. Suppose 0 = -3*a - 2 - 7. Let q(v) = -v**2 + v + 1. Give a*q(h) - r(h). h**2 + 3 Let k(x) = -92*x**2 - 3*x - 3. Let v(q) = 185*q**2 + 5*q + 5. Give -5*k(f) - 3*v(f). -95*f**2 Let b(v) = 0*v**2 + 4*v**3 + 13 + 3*v - 18 - 5*v**2 - v. Let l(i) = -5*i**3 + 6*i**2 - 2*i + 6. Let x = -6 - -12. Determine x*b(t) + 5*l(t). -t**3 + 2*t Let l(x) = 333*x**2 - 111*x + 111. Let g(t) = -t + 1. What is -222*g(d) + 2*l(d)? 666*d**2 Suppose -18 = k - 7*k. Let f(y) = -y. Let q(c) = 9*c**2 + 3*c - 4. Let d(v) = k*f(v) + q(v). Let n(a) = -8*a**2 + 3. Determine -5*d(r) - 6*n(r). 3*r**2 + 2 Let f(i) = i + 6. Let c = 286 + -291. Let m(y) = y + 11. Give c*f(n) + 3*m(n). -2*n + 3 Suppose 5*y - 182*z + 185*z = 4, 0 = -5*y - 4*z - 3. Let p(i) = -i**2 + 6. Let c(n) = 6. Let s(k) = 5. Let h(l) = -6*c(l) + 7*s(l). What is y*p(r) + 30*h(r)? -5*r**2 Let u(p) = 20*p - 15. Let r(i) = -i + 1. Let y = -221 - -206. Give y*r(w) - u(w). -5*w Suppose -9 = 4*f - 17. Let o(m) = 25*m - 9. Let h(p) be the first derivative of 3*p**2 - 2*p - 4. Give f*o(s) - 9*h(s). -4*s Let r(j) = 3 + j - 3. Suppose -5*y - 2 = h - 24, 0 = 5*y + 3*h - 16. Suppose y*p - 184 = -189. Let f(z) = -3*z**2 + 5*z - 1. What is p*f(q) + 3*r(q)? 3*q**2 - 2*q + 1 Let h(m) = 45*m**3 - 4*m**2 + 8*m + 4. Let j(i) = i**2 - i - 1. Give h(o) + 4*j(o). 45*o**3 + 4*o Let q(b) = 339*b**3 - 6*b**2 - 6. Let d(l) = 14237*l**3 - 253*l**2 - 253. Calculate -6*d(m) + 253*q(m). 345*m**3 Let a = 10 + -4. Let n(l) = 141*l - 414*l + 141*l + 133*l. Let s(d) = -2*d. Let v(u) = a*s(u) + 13*n(u). Let w(g) = 7*g - 2. What is -6*v(t) + w(t)? t - 2 Let a(w) = -3*w. Let t be 2/4*(0 + 8). Let f(c) = 3*c. Let m(u) = -u**2 - 6*u - 1. Let b be m(-3). Suppose -b = 9*x - 53. Give t*a(g) + x*f(g). 3*g Let x be 2/4*(10 - 132). Let h be x/(-7) - 12/(-42). Let m(z) = 5*z**3 - 4*z - 4. Let s(r) = 2*r**3 - 2*r - 2. Determine h*s(w) - 4*m(w). -2*w**3 - 2*w - 2 Let q(s) = 5*s**2 - 7*s**2 - 4*s**2 + 4*s**2. Let x(f) = -f**2. Suppose -u + 2 = -4. Suppose -3*j + 24 = -5*i, 4*i - 3*j - u = -27. What is i*q(v) + 8*x(v)? -2*v**2 Let x(c) be the third derivative of c**6/120 - c**5/60 + 2*c**3/3 + 387*c**2. Let s(r) = 2*r**3 - 2*r**2 + 7. Give 3*s(k) - 5*x(k). k**3 - k**2 + 1 Let t(y) = 20*y + 10. Let q(v) = 35*v + 18. Let d(a) = -3*q(a) + 5*t(a). Let s(p) = -p - 1. What is -3*d(n) + 12*s(n)? 3*n Let y(z) = z + 1. Let q(n) = 6*n + 1. Let k(f) = -q(f) + 4*y(f). Let w(p) = p - 2. Let g = -9 - -6. Calculate g*k(c) - 4*w(c). 2*c - 1 Suppose 2*f = 10*f - 64. Let z(u) = 11*u**3 + 4*u**2. Let x(y) = 4*y**3 + y**2. Give f*x(k) - 3*z(k). -k**3 - 4*k**2 Suppose -k = -3*k - 8. Let v(z) = z + 4. Let n(a) = 7*a - 5. Let p(c) = -8*c + 6. Let d(r) = 7*n(r) + 6*p(r). Calculate k*d(w) + v(w). -3*w Let k(o) = -o**3 - o**2 + o - 1. Let p(r) = -27*r**3 - 21*r**2 - 33*r + 15. Let c(u) = -u**3 - u**2 - 2*u + 1. Let l(j) = 18*c(j) - p(j). Give 3*k(v) + l(v). 6*v**3 Let x(r) = r**3 + r**2 - 2*r - 1. Let u(q) = -36*q**3 + 4*q**2 - 7*q - 5. Give -u(a) + 5*x(a). 41*a**3 + a**2 - 3*a Let s(c) = 5*c**3 + 4. Let x(y) be the first derivative of y**4 + 3*y + 290. Determine -3*s(u) + 4*x(u). u**3 Let t(x) = -3*x**2 - 4*x - 1. Let j(a) = -7*a**2 - 9*a - 2. Let r(z) = 4*j(z) - 9*t(z). Let m(k) = -6*k**2 - k + 5. Calculate m(u) - 4*r(u). -2*u**2 - u + 1 Let i(x) = 6*x**2 + x. Let p be (-6)/60*0 - (0 - -3). Let q(o) = 5*o**2. What is p*q(m) + 2*i(m)? -3*m**2 + 2*m Let m(s) = 2*s**2 - 44*s + 4. Let j(q) = -10*q**2 + 218*q - 23. Determine 2*j(o) + 11*m(o). 2*o**2 - 48*o - 2 Let w(x) = -x**3 - 5*x**2 + 6*x + 2. Let j be w(-6). Let r(u) = 9*u**2 + 5. Let a(z) be the first derivative of 4*z**3/3 + 2*z - 17. Give j*r(h) - 5*a(h). -2*h**2 Let z(y) = 7*y - 2. Let g(w) = -20*w + 6. Suppose 3*v - 64 = -5*p + 5*v, 2*p - 2*v = 28. Suppose -80 = p*a + 124. Determine a*z(i) - 6*g(i). i - 2 Let r(q) = -q**2 + 6. Let n(t) = 6*t**2 - 3*t**2 - 2 - t**2 - 11. Let j = 71 + -65. Calculate j*n(g) + 13*r(g). -g**2 Let s(h) = 2*h**2 - 4*h - 3. Suppose -7 = -p - 2*z, -3 = 3*p - 3*z - 6. Let c(a) = p - 2*a**2 - 3*a**2 + 6*a**2 - 2*a**2 + 3*a. Determine -4*c(r) - 3*s(r). -2*r**2 - 3 Let s(z) = 3*z**2 - 4*z - 2. Let t(q) be the first derivative of 10*q**3/3 - 13*q**2/2 - 7*q + 147. Determine -7*s(u) + 2*t(u). -u**2 + 2*u Let w(m) = -4*m**3 + 2*m**2 + 10*m + 2. Let j(z) = -z**3 + z**2 - 1. Give -2*j(l) + w(l). -2*l**3 + 10*l + 4 Let o(y) = -27*y**3 - 2*y**2 - 2*y. Let i(u) = -3700*u**3 - 275*u**2 - 275*u. What is -4*i(r) + 550*o(r)? -50*r**3 Let w(u) = -u**2 + 14*u - 2. Let s(a) = -11*a**2 + 43*a - 7. What is 4*s(r) - 14*w(r)? -30*r**2 - 24*r Suppose -o - 3*o = 4. Let n(v) = -8*v + 5. Let i(r) =
{ "pile_set_name": "DM Mathematics" }
- 683. Let u(f) = 926*f - 2051. Let c(j) = 8*q(j) - 3*u(j). What is the derivative of c(a) wrt a? -290 Let w(r) = -36*r**5 + 4*r**4 + 2*r**3 + 64*r**2 - 4*r + 4. Let n(s) = -s**4 + s - 1. Let i(b) = -4*n(b) - w(b). Find the third derivative of i(f) wrt f. 2160*f**2 - 12 Let d(l) be the third derivative of l**10/15120 + l**6/72 - l**4/8 + l**2. Let p(g) be the second derivative of d(g). Find the second derivative of p(x) wrt x. 40*x**3 Let z be (-2)/(-9) + 240/135. Let j = z - -1. Find the second derivative of -3*t + 5*t**j - 91*t**2 + 91*t**2 wrt t. 30*t Let w(t) = -t**2 + 7*t + 11. Let k be w(8). Differentiate -3 + 0*f**k + f**3 + 0*f**3 + 5*f**3 wrt f. 18*f**2 Suppose 0 = 2*s - 5*c - 7, -5*c - 4 = -5*s + 21. Let q = s + -4. What is the derivative of -82 - 2*u**2 + 2*u**q + 4*u**3 + 81 wrt u? 12*u**2 Let b(c) be the second derivative of 59*c**6/15 - 7*c**4/6 + 31*c. Find the third derivative of b(t) wrt t. 2832*t What is the first derivative of -358 - 75*b**4 - 317 + 35 + 8*b**2 + 126*b**4 wrt b? 204*b**3 + 16*b What is the third derivative of -64*o**3 - 16*o**2 - 3422 + 3422 wrt o? -384 Let b(z) = z**3 + 4*z - 1. Let l(f) = 52*f**3 - 2*f**2 - 786*f - 2. Let k(x) = -2*b(x) + l(x). What is the second derivative of k(c) wrt c? 300*c - 4 Let v be 10 + (7 - 8) - 9. Let x(i) be the first derivative of -1/4*i**4 + 0*i**2 + 12 + i**3 + v*i. What is the third derivative of x(u) wrt u? -6 Suppose -4*k - 4 = 0, 3*v + 0*k - 160 = k. Find the first derivative of -2 - 5 + 53*t**3 + 13*t**4 - v*t**3 wrt t. 52*t**3 Let y(w) = 2*w + 36. Let v be y(-10). Find the second derivative of 182*z + 3 - v*z**2 - 207*z - 3 wrt z. -32 Let l(k) = 18*k**4 - 11*k**3 - k**2 + 49*k - 5. Let j(f) = -9*f**4 + 6*f**3 - 24*f + 3. Let g(x) = 5*j(x) + 3*l(x). What is the third derivative of g(s) wrt s? 216*s - 18 What is the third derivative of -2*b**3 - 14*b**5 + 8*b**2 + b**6 - 53*b**2 + 14*b**5 wrt b? 120*b**3 - 12 Let z(n) be the first derivative of -7*n**3/3 + 10*n + 14. Let m(a) = -14*a**2 + 19. Let f(r) = -6*m(r) + 11*z(r). Find the first derivative of f(t) wrt t. 14*t Let y be (8 + -12)/(2/(-6)*2). Differentiate -6*d**2 - 12*d**4 + 45 + y*d**2 - 39 wrt d. -48*d**3 Let c(i) be the first derivative of 23*i**4/4 + i**2/2 - 21*i + 50. Differentiate c(s) with respect to s. 69*s**2 + 1 Differentiate -22*m**2 + 138 + 88*m**2 + 19*m**2 wrt m. 170*m Let h be (1 - 11/3)*3. Let y = -5 - h. Differentiate 12*n**y - 5*n**3 + 2*n**3 - 4 with respect to n. 27*n**2 Let q(v) = -119*v**6 + 5*v**3 - 130*v**2 + 5. Let u(w) = 178*w**6 - 8*w**3 + 195*w**2 - 8. Let s(a) = 8*q(a) + 5*u(a). Find the third derivative of s(t) wrt t. -7440*t**3 Let c = -34 - -42. What is the first derivative of 3 - c + 1 + 11 - 4*u**3 wrt u? -12*u**2 Suppose 5*r - 20 = -5*v, 0 = 2*v + 6 - 4. Find the third derivative of 7*u**r + 8*u**5 + 6*u**5 + 5*u**2 wrt u. 1260*u**2 Find the second derivative of 260*z + 145*z**4 + 2955*z**2 + 101*z**4 - 2955*z**2 - 32*z wrt z. 2952*z**2 Let d(c) be the third derivative of 9*c**5/10 + 229*c**3/6 + 170*c**2. What is the first derivative of d(g) wrt g? 108*g Let b(l) be the second derivative of -l**6/15 + 7*l**5/4 - 131*l**3/6 + 15*l - 1. What is the second derivative of b(s) wrt s? -24*s**2 + 210*s Let n(f) be the second derivative of -3*f**5/10 + 17*f**4/12 + 8*f**2 + f. Let v(y) be the first derivative of n(y). Find the second derivative of v(t) wrt t. -36 Let w(m) be the third derivative of m**7/840 - m**5/30 - m**4/4 + 4*m**2. Let q(r) be the second derivative of w(r). Find the first derivative of q(c) wrt c. 6*c Let w(b) be the first derivative of 33*b**4/4 + 11*b**2/2 - 2*b + 149. What is the second derivative of w(g) wrt g? 198*g Differentiate 19*w**2 - 4*w + 10*w + 35 - 6*w wrt w. 38*w Let j(l) be the first derivative of -13 + 0*l**2 + 0*l + 7/4*l**4 + 5*l**3. What is the third derivative of j(z) wrt z? 42 Let j(m) = 620*m - 298. Let t(x) = -1225*x + 597. Let g(d) = -5*j(d) - 2*t(d). What is the derivative of g(i) wrt i? -650 Let y be (-81)/18 - (-1)/2. Let n = -1 - y. Differentiate -6 - o**4 + 2*o**4 + n with respect to o. 4*o**3 Let n(z) be the first derivative of 3*z**4/4 + 29*z**3/3 + 3*z**2 + 14*z - 369. What is the second derivative of n(u) wrt u? 18*u + 58 Let d(n) = -601*n**2 - 267*n. Let u(a) = 301*a**2 + 131*a. Let c(l) = 6*d(l) + 13*u(l). What is the second derivative of c(v) wrt v? 614 Suppose 0 = -3*o - 5*o + 64. Find the third derivative of o*v**2 + 3*v**4 + 81 - 81 wrt v. 72*v Let n(i) be the second derivative of 11*i**6/5 - 17*i**2/2 + 4*i - 12. Find the first derivative of n(d) wrt d. 264*d**3 Let s(q) be the second derivative of -131*q**6/30 + 40*q**4/3 + 29*q - 1. What is the third derivative of s(b) wrt b? -3144*b Let j be 1 - ((-9)/5 - 2/10). Let h(t) = -45*t**2 + 7*t. Let l(d) = 224*d**2 - 34*d. Let c(q) = j*l(q) + 14*h(q). Find the second derivative of c(y) wrt y. 84 Let n be (-1 - 1) + 3/3. Let l be (-1)/(-2)*(n + 11). What is the second derivative of 11*k**4 - 5*k + 11*k - l*k**4 wrt k? 72*k**2 Let t(d) be the first derivative of 99*d**2 - 30*d - 406. Differentiate t(h) with respect to h. 198 Let z(f) = -f**3 + 3*f**2 + 6*f - 15. Let j be z(3). Let c(n) be the second derivative of 2*n**2 + 2*n + 5/3*n**j + 0. Differentiate c(u) with respect to u. 10 Let v(l) = l**4 + l**3 + l + 1. Let x(d) = 2*d**4 + 6*d**3 - 8*d**2 + 4*d + 10. Let t(o) = -6*v(o) + x(o). What is the second derivative of t(m) wrt m? -48*m**2 - 16 Let n be ((-18)/(-12))/((-3)/(-4) - 0). What is the third derivative of -4*m**5 + 3*m**5 - 3*m**5 - 23*m**n - 9*m**5 wrt m? -780*m**2 Let k(b) = -282*b**4 - 7*b**2 + 68*b + 20. Let o(x) = 282*x**4 + 6*x**2 - 67*x - 17. Let t(s) = 6*k(s) + 7*o(s). Find the second derivative of t(d) wrt d. 3384*d**2 Let q(n) = -2*n**4 - 5*n**2 - 8*n - 21. Let t(u) = u**4 + 6*u**2 + 8*u + 20. Let i(c) = 6*q(c) + 5*t(c). Find the first derivative of i(m) wrt m. -28*m**3 - 8 Let l(g) = -7*g - 54. Let n(o) = -14*o - 109. Let r(p) = -5*l(p) + 3*n(p). Differentiate r(a) with respect to a. -7 What is the second derivative of -21*b + 3*b**3 + 39*b**4 - b**3 + 4*b - 69*b wrt b? 468*b**2 + 12*b Let b(l) = -l - 19. Let g be b(0). Let q = -9 - g. Find the third derivative of 3*d**4 - 37*d**2 - q*d**4 + 41*d**2 wrt d. -168*d Let f = -82 + 91. Find the second derivative of -28*y**3 + 8*y**3 + 37*y - f*y wrt y. -120*y Let d(i) be the second derivative of -4/3*i**4 - 7/6*i**3 + 0 - 10*i + 0*i**2. What is the second derivative of d(h) wrt h? -32 Suppose k - 6 = -k. Suppose -r = 3, 3*r - 3 = -2*w + 2*r. What is the third derivative of 3*z**w + 2*z**5 - 3*z**2 - 3*z**k wrt z? 120*z**2 Let d(r) be the first derivative of r**7/10 + 5*r**4/6 - 21*r**2/2 + 10. Let j(b) be the second derivative of d(b). What is the second derivative of j(l) wrt l? 252*l**2 Suppose 0*q - 46 = -3*q + 5*k, 4*k = -q + 21. Find the second derivative of q*g - 15*g**3 + 0*g + 13*g wrt g. -90*g Let b(s) = 2*s + 26. Let l(u) be the second derivative of u**3/3 + 13*u**2 - 13*u. Let n(j) = -3*b(j) + 2*l(j). Find the first derivative of n(c) wrt c. -2 Let h(k) = 15*k**2 - 7. Let s(z) be the second derivative of 143*z**4/6 - 66*z**2 + 9*z. Let w(p) = 77*h(p) - 4*s(p). What is the derivative of w(x) wrt x? 22*x Suppose -37*o + 35*o = -14. Find the third derivative of -o*y**3 - 10*y**3 - 5*y**3 - 27*y**2 wrt y. -132 Suppose 0 = -5*i + l + 2*l + 420, -2*l + 336 = 4*i. Let d = i - 37. Find the second derivative of 42*c**5 + 7*c - d*c**5 - 2*c wrt c. -100*c**3 Find the third derivative of -19*f**4 - 5*f**4 - 612*f**2 - 5*f**4 - 10*f**4 - 10*f**4 wrt f. -1176*f Let l(q) = 564*q**2 + 10*q + 135. Let d(f) = 2*f**2 + 2*f + 2. Let g(m) = -5*d(m) + l(m). Differentiate g(a) with respect to a. 1108*a Let v(i) be the first derivative of 0*i**2 + 10*i - 14 - 7/3*i**3. What is the derivative of v(m) wrt m? -14*m Let u(q) = q + 1. Let j(m) be the first derivative of -9*m**2 - 24*m + 2. Let r(y) = -2*j(y) - 28*u(y). Differentiate r(t) with respect to t. 8 Let c be 0*4/16 - -5. What is the derivative of 16 + h**2 - 4*h**2 + c*h**2 wrt h? 4*h What is the third derivative of 93*m**3 - 8*m**2 + 2*m**2 + 112*m**4 - 7 - 53*m**3 - 40*m**3 wrt m? 2688*m Let u(y) be the second derivative of -131*y**3/6 - 40*y**2 + 15*y - 1. Differenti
{ "pile_set_name": "DM Mathematics" }
-10*t**4 - 2*t**3 - 790*t**2 Expand (-514*k**2 + 514*k**2 - 50*k**4)*(1 - 1 - 2)*(28 + 22*k + 21 - 55). 2200*k**5 - 600*k**4 Expand (-157 - 9*v**2 + 157)*(-4 + 2*v**2 + 4) + (3*v**4 - 8*v**4 + 3*v**4)*(1 + 1 + 0). -22*v**4 Expand (4*h + 0*h - 2*h)*(h**4 - 3*h**4 + h**4) + (-107*h**3 + 1 - 57*h**3 - 2*h**2 - 32*h**3)*(20*h + 5*h**2 - 20*h). -982*h**5 - 10*h**4 + 5*h**2 Expand (c - 3*c**3 - c)*(84 - 86 - 269)*(-1 - 4 + 3). -1626*c**3 Expand (2 + 2 - 5)*(l**2 + 8*l**2 + 0*l**2) + (0*l + 3*l + 2*l)*(l + 2*l - 10*l). -44*l**2 Expand (-2*d**4 + d**4 - 3*d**4 + d**4 + 0*d**4 - 3*d**4 + (-2*d + 3*d + d)*(-d**3 - d**3 + d**3))*(-47*d - 171*d - 176*d). 3152*d**5 Expand -v**5 + v**5 + 2*v**5 + (2*v**4 - 2*v + 2*v)*(-2*v - 2*v + 6*v) + (-22*v**2 - v**2 - 9*v**2)*(-630 + 4*v**3 + 630). -122*v**5 Expand (13 - 41 + 60*n - 64*n)*(18*n**2 + 17*n**2 - 39*n**2 - 102*n). 16*n**3 + 520*n**2 + 2856*n Expand (3 - 19 + 14 - 93*v)*(0*v + v + 5*v). -558*v**2 - 12*v Expand (5 + 0 - 3)*(9*o**4 - 13*o**4 + 9*o**4) - o**4 + o**4 - o**4 + 901*o**2 - 24*o**4 - 901*o**2. -15*o**4 Expand (-7 - 13 + 3)*(194*g - 360*g + 192*g + (-1 + 1 - g)*(-1 - 1 + 1)). -459*g Expand (18 + 51 + 92)*((-7 - 3*a**3 + 7)*(-2*a**2 + a - a) + (-3*a + 3*a - a**3)*(0 - 2 + 1)*(a**2 + 0*a**2 - 2*a**2)). 805*a**5 Expand (k + 5*k + 0*k)*(0 - 3 - 1)*(-k - 2*k + k)*(-9*k + 25*k - 4*k). 576*k**3 Expand 2*k - 6*k - 9*k + (0 - 2 - 8)*(2 - 2 - k)*(2 - 1 - 3). -33*k Expand (5*l**2 - 3*l**2 - 4*l**2)*(308 - 1689*l**3 + 300 - 914 + 306). 3378*l**5 Expand 0 - 2*j**4 + 0 + (3*j**3 + j**3 - 3*j**3)*(0 - 3 + 2)*(-5*j + 8*j + 2*j)*(-11 + 6 - 3). 38*j**4 Expand (3 - 3 - z)*(136 + 162 - 66 + 2 - 5 + 0 + (6 - 3 - 2)*(-1 + 1 + 2) - 3 + 7 - 3). -232*z Expand (23 - 181*b - 3 - 27)*(2 - 2 - 1)*(0*b**2 - 2*b**2 + 4*b**2). 362*b**3 + 14*b**2 Expand -80 + 89*k + 80 + (-35 + 15 + 11)*(0 + 2*k + 0). 71*k Expand (198*x**2 + 121*x**2 - 18*x**2)*(1 + 1 - 2*x - 16). -602*x**3 - 4214*x**2 Expand -8*m + m**2 + 8*m - m**2 - 29*m + 113*m + 160*m + (0 + 0 - 2*m)*(m - 6*m + 4*m). 2*m**2 + 244*m Expand (-2 + 1 - 2 + 0)*(7075 - 777*a - 7075)*(0*a + 0*a + 2*a**2). 4662*a**3 Expand (-3 + d + 3)*(-2 + 2 + 2*d) - 49*d + 49*d + 5*d**2 + (1 - 1 + 2*d**2)*(0 + 2 + 0) + (d + 6*d - 3*d)*(-2 + 3 - 2)*(4*d + 6 - 6). -5*d**2 Expand 10*g**5 + 4*g**5 + g**5 + (g + 1 - 1)*(-8*g**4 + g - g) - 15 + 15 + g**5 + (g**2 + g - g)*(-4*g**3 + g**3 + 4*g**3). 9*g**5 Expand (-2*t + t + 3*t)*(330 + 73 + 466)*(-1 - 3 + 7). 5214*t Expand (20 - 9 + 99*m - 11)*(2*m**4 - 3 - 7685*m**2 + 7685*m**2 - 6*m). 198*m**5 - 594*m**2 - 297*m Expand (2 + 2 - 2)*(1243 - 1833*h**4 + 1835*h**4 - 24*h - 1128 + 2*h**3). 4*h**4 + 4*h**3 - 48*h + 230 Expand (-4 + 3 + 3)*((-2 + 1 + 2)*(2*p - p - 2*p) - 6*p + 2*p + 2*p - 202 + 202 - 714*p). -1434*p Expand (342*x**3 + 14*x**4 - 342*x**3)*(4 + 1 - 3)*(-6 + 0 + 0). -168*x**4 Expand 0*n**4 - 8*n**4 - 9*n**4 + 20*n**4 + 6*n**4 - 10*n**4 + (n - n**2 - n)*(n**2 - 3*n + 3*n) + 2*n - 2*n + 3*n**4. n**4 Expand (2*a - 2*a + 2*a**2)*(5*a + a - 5*a) + 706*a**3 + 466600*a - 466600*a - 2*a + 2*a + a**3. 709*a**3 Expand 8328*i + 153 - 73 - 80 + 576*i + i + 4*i - 3*i + (-6 + 1 + 3)*(3*i - i - 4*i) - 2*i + 2*i - 2*i. 8908*i Expand (1 + 0 - 8)*(-30 - 4*p + 30)*(5*p - 4*p + 2*p)*(-2*p**3 + 2*p**3 + p**3)*((-3 + 5 + 0)*(-3 + 2 + 3) + 1 + 3 + 0). 672*p**5 Expand (-1232*u - 1229*u + 2542*u)*(-3*u**2 + 0*u**2 - 2*u**2) + (-u**3 + u**3 + 2*u**3)*(0 + 0 - 4). -413*u**3 Expand 13*g**4 + 166*g - 166*g + (-2*g**2 + g**3 + 2*g**2)*(-4*g - 4*g + 3*g) - g**4 + 6*g**4 - 4*g**4 - 2*g**4 - 21*g**3 + 21*g**3 + 3*g**4 + 2*g**4 - 3*g**4. 9*g**4 Expand -4*l**3 - 3*l**3 + 5*l**3 + (-l**2 - l**2 + 4*l**2)*(2*l - 3 + 3) - 3057*l**3 - 3569*l**3 + 8140*l**3. 1516*l**3 Expand (1 + 0 - 3)*(-7*m**3 + 22*m**2 - 22*m**2)*(-35*m + 20*m + 49*m). 476*m**4 Expand (-2*s - 4*s + 4*s)*(-s**2 + 0 + 0) - 60*s**3 - 1136*s**3 - 164*s**3 + 3*s**3 + s**3 - 6*s**3. -1360*s**3 Expand (-4 + 5 + 0)*(1827*f**3 - 3928*f**2 + 3928*f**2). 1827*f**3 Expand (0*k - 3*k + 4*k)*(-681 - 1202*k + 681). -1202*k**2 Expand (0 + 0 + 4*v)*(-2*v**3 - v**3 + 2*v**3) + 1 - 138*v**3 - 19*v**2 - 4*v**2 + 139*v**3 - 35*v**4. -39*v**4 + v**3 - 23*v**2 + 1 Expand 5 - 5 + 7*t**5 + (5 - 5 + 2*t**2)*(-666*t**3 - 2145*t + 2145*t). -1325*t**5 Expand (-2 - 1 + 5)*(79*f + 9381 - 9381 + (-3*f + f + 4*f)*(0 + 2 - 1) - 2*f + 3*f - 2*f + 3 - 3 + 2*f). 164*f Expand (0 + 0 + 2*y)*(5 - 13 + 7 + (1 + 2 - 1)*(0 + 3 + 0)). 10*y Expand -45*l**3 - 6*l**5 + 45*l**3 + (3*l - 6*l + 2*l)*(6*l**2 + 0*l**2 - 7*l**2)*(-l**2 + 4*l**2 + 0*l**2). -3*l**5 Expand (-2*u + 4*u - u)*(-5468 - 4*u**3 + 5496 + u**3). -3*u**4 + 28*u Expand (-30*r**2 + 16596 - 16596)*(39 - 2*r - 39). 60*r**3 Expand (4 - 4 - o**2)*(-o**2 + o**2 - 2*o**2) + o**4 - 2*o**4 + 3*o**4 - 493*o**4 + 233*o**4 - 905*o**4. -1161*o**4 Expand (491*m - 189*m + 184*m)*(2*m - m**3 - 2*m + 2*m**3 + 2 - 2 + (1 + m - 1)*(-m**2 - 2*m**2 + m**2) + 3*m**3 - 3*m**3 - 2*m**3). -1458*m**4 Expand (-25243 + 9147 + 6134 + 4946)*(0*q**2 + 3*q**2 - 5*q**2). 10032*q**2 Expand (-91*p + 5*p**2 + 91*p)*(-7*p + 2*p + 3*p) - 2*p + 2*p + 2*p**3. -8*p**3 Expand (0*g**3 + g**3 + 2*g**3)*(1 - 1 - g**2) + (0 - g**3 + 0)*(10 - 10 - 2*g**2) - 2*g**5 + 12*g**5 + 2*g**5 + g**5 + g**5 + 0*g**5. 13*g**5 Expand ((0*s - 3*s + 2*s)*(2 + 1 - 1) + (2 - 2 - 1)*(4*s - 3*s + 3*s))*(-2 - 9 - 1)*(-37 + 16 - 38). -4248*s Expand 383*h**2 + 10307*h - 10305*h + 265*h**2 - 37*h**5 + (-4*h**2 + 4*h**2 + 2*h**2)*(-h**2 - 2*h**3 + h**2). -41*h**5 + 648*h**2 + 2*h Expand (-8 - 25 - 13)*(-108*s - 1 + 17*s + 35*s - 265*s). 14766*s + 46 Expand (-137*g**3 + 38*g**3 - 151*g**3)*(-3 + 0 + 4)*(-38 + 55 + 36). -13250*g**3 Expand (1496 + 1332 + 3077 - 962 + (0 - 2 + 4)*(4 - 2 - 3) + 0 + 3 - 2)*(-2 - 2 + 1)*(0*t + t + t). -29652*t Expand (-47 + 9 - 27)*(0*q**3 + 8*q**3 - 62*q**3). 3510*q**3 Expand 69745*r**2 - 16 + 0*r**3 - 69754*r**2 - r**3 + (-3 + 4 - 2 + 4 + 2 - 1 + (-4 + 4 + 2)*(2 + 0 - 4) + 2 - 3 + 3)*(-3*r**3 + 2*r**3 - r**3). -5*r**3 - 9*r**2 - 16 Expand (-8*y**2 + 6*y**2 - 13*y**2 + (-4*y**2 - 2*y**2 + 5*y**2)*(-1 + 0 - 1))*(178 + 60 - 11). -2951*y**2 Expand (-43*g + 141*g + 566*g)*((-5 + 5 - 1)*(-9 - 2 - 2) - 3 + 0 + 1)*(g - g - g**2). -7304*g**3 Expand (38 - 37 + 86)*(-39068*m**2 + 93*m**3 + 39068*m**2). 8091*m**3 Expand (-3 + 1 + 1)*(1 - 1 + 18)*(7219*m - 3629*m - 3623*m - 3) + m + 0*m + 0*m. 595*m + 54 Expand (-6 + 14 - 2)*(12*r + 4727*r**4 + 1 + 4732*r**4 - 9460*r**4 + 5*r**5). 30*r**5 - 6*r**4 + 72*r + 6 Expand (3392*v + 158950 - 158950)*(3*v + 0*v - 2*v). 3392*v**2 Expand 282238*j - 138062*j + 2 - 128949*j - j - 3*j + 3*j + 2*j + 2*j - 3*j + (-1 + 1 - 2)*(-4*j + 2*j + 4*j) + 5*j - j - 2*j - 5*j + j + 2*j - 4 + j + 4. 15224*j + 2 Expand (2*j + 0*j + 0*j)*(4*j + 25*j + 241*j). 540*j**2 Expand ((3 - 2*h**2 - 3)*(594*h - 3852 + 3852) + (-2*h**2 - 2*h**2 + 2*h**2)*(0*h - 2*h + 4*h) - 3*h**3 + h**3 + 3*h**3)*(5*h + 19*h - 8*h)*(3 - 1 - 1). -19056*h**4 Expand (-19919 - 19920 - 19929 + 59768 + 22999*r)*(2*r + 0*r - 3*r). -22999*r**2 Expand ((-a - 3*a + 0*a)*(2 + 2 - 2) - 2*a - 2*a + 0*a)*(-4*a + 2*a + 3*a)*(-4 + 3 - 1)*((-2 - a + 2)*(4*a - 3*a + 5*a) - 3*a + a**2 + 3*a). -120*a**4 Expand (-3 + 2 - 1)*(4*g + 16*g - 53*g) - 23*g + 32*g + 106*g + 166*g. 347*g Expand (11*f**2 - 5 - 6*f**2 - 9*f**2)*(4*f**3 + f**3 - 3*f**3 + 2*f**2 - 7*f**3 - 2*f**2 + (0*f - 5*f + 4*f)*(1 - 1 + 2*f**2) - 25*f + f**3 + 25*f). 24*f**5 + 30*f**3 Expand (-16*x + x - 40*x)*((4*x - 3*x + x)*(0 + 2 - 1) - x + 5*x + 2*x). -440*x**2 Expand (3*l - 4*l - l)*(-1 + l + 1) + (-l - 2*l + l)*(-l - 4 + 4) + l**2 - 12*l**2 + l**2 + (-l - 3 + 3)*(-2*l + 3 - 3). -8*l**2 Expand (-f**2 - 1 + 1)*(236*f - 4018 + 4018)*(1 - 3*f - 1 + (-2 + 2 - f)*(3 + 0 - 1))*(7 - 3*f - 7). -3540*f**5 Expand (3*q - 7*q + q)*((-201 + 201 - 13*q)*(-2 - 3 + 1) - 4*q + 4*q + q + 5*q + 4 - 4). -174*q**2 Expand (2*a - 2*a + 2*a)*(4 - 1361*a**4 + 869*a + 2747*a**4 - 1383*a**4). 6*a**5 + 1738*a**2 + 8*a Expand (-5 + 1 + 2 + (1 - 1 - 4)*(-3 - 10 + 11))*(20*u + u**2 - 20*u). 6*u**2 Expand (2 - 2*s - 1 + 1)*(1 - 3 + 1)*(83 - 167 + 119)*(5 - 2 - 5)*(4*s**2 - 2*s**2 - s**2). -140*s**3 + 140*s**2 Expand (-3*t + 0*t + t)*(3*t**3 - 4*t**3 - 3*t**3) + (-t + 5*t + 0*t)*(-2*t**3 - 2*t**3 - 6*t**3) + (-1 - 5 + 3)*(3*t - 3*t + t**4
{ "pile_set_name": "DM Mathematics" }
/3 (c) 0.3 (d) -1 (e) -2535 c What is the closest to -1 in -69, -19/326, -0.4, -2? -0.4 Which is the closest to 5? (a) -19365 (b) -0.2 (c) 4 c What is the closest to -5/12 in 4, -3, 5/3, 3? 5/3 What is the closest to -2/939 in -2, 0.05, -2/7, 0.34? 0.05 Which is the closest to -224? (a) -2/13 (b) 3 (c) 4 (d) -5 (e) 1/15 d Which is the closest to -5? (a) 1/25 (b) -2/13 (c) -1/2 (d) -0.4 c Which is the closest to -1/5? (a) -4/11 (b) -0.281 (c) -2/3 b Which is the closest to -1/37? (a) -0.04 (b) 0 (c) 0.1 (d) 826 a Which is the nearest to -0.2? (a) 0.3 (b) 4/5 (c) 0.2 (d) -13 c What is the closest to -2/5 in -112700, 1/4, -3, -1/3? -1/3 Which is the closest to -6? (a) 3/5 (b) -2 (c) -1 (d) -15/7 d What is the nearest to -116 in 0.2, 2/5, -4, -7, -1/3? -7 Which is the closest to 3? (a) -4 (b) -0.7264 (c) 0 (d) -2/7 c What is the closest to -0.51 in 0.101, 2/13, 0.7? 0.101 What is the nearest to 0.3 in -1, 2/5, 0.18778? 2/5 Which is the nearest to 1? (a) 33 (b) -2/9 (c) -0.5 (d) 1/13 d Which is the nearest to 954? (a) -8 (b) -3 (c) 0.1 c What is the nearest to 1 in -4, 619, 35? -4 Which is the closest to 0? (a) 79 (b) 0.2 (c) -3/5 (d) -3 (e) -37/7 b What is the closest to 13 in 32, -4, -3, -5/4? -5/4 Which is the closest to 0.03? (a) -1/10 (b) -0.0073 (c) -0.3 (d) 0.5 b What is the closest to -1 in 2212, 2/35, -0.5? -0.5 What is the nearest to -1 in 138, -2, 531? -2 Which is the closest to 76? (a) -4 (b) -5/3 (c) 1/3 (d) 8 (e) 5/7 d Which is the nearest to 2148? (a) -5 (b) 5 (c) 0 b Which is the nearest to -3? (a) -0.4 (b) -5 (c) -1/8 (d) 16 b What is the closest to 12 in 3/5, 2/9, 0.3, 16.3, 2? 16.3 Which is the closest to -2/399? (a) -0.07 (b) 1 (c) 0.2 (d) -6/11 a Which is the closest to 2? (a) -0.7 (b) 2 (c) -1 b Which is the nearest to -3? (a) 10.8 (b) 15 (c) -8 c What is the nearest to -2/9 in 4, -32, -4, 3/5? 3/5 What is the closest to -0.1 in -0.5, -4, 0.1, -1193/3? 0.1 What is the closest to -1 in -2, 0.51, -1, -0.3, -0.305? -1 What is the nearest to 2/3 in 1/9, 0.1, 1/782, -4/3? 1/9 Which is the closest to -0.2? (a) -4 (b) 6.59 (c) 1/2 (d) -1 c What is the nearest to -0.79 in 5, -0.6, 3? -0.6 Which is the nearest to -1? (a) 2 (b) 1/2 (c) 44 (d) 4/5 b Which is the closest to 1.3? (a) -1/14 (b) 29 (c) 0.8 (d) 0.4 c What is the nearest to 0 in -3, 85, 0, -1? 0 What is the nearest to 0.1 in -58, -1, 13, -1.2? -1 What is the closest to 0.05 in -25, 2, 0.19, -3? 0.19 Which is the closest to 87? (a) 0.5 (b) -25.53 (c) -7 a What is the nearest to -26 in -4, -981/8, 3? -4 What is the nearest to -25 in 0.2294, -0.4, -3, 2, 0.3? -3 What is the closest to 9/5 in 3/5, 1, -7, 0.4, -1/9? 1 Which is the nearest to -0.09? (a) 131 (b) 1 (c) -0.3 (d) -0.6 c Which is the closest to 0.01? (a) -0.98105 (b) 2 (c) -0.1 c Which is the nearest to -0.3? (a) -0.062 (b) 0.5 (c) 4.8 a Which is the closest to -0.061? (a) 2/13 (b) 11 (c) 3/8 (d) -3 a Which is the closest to 0.33? (a) 0.07 (b) 0.8 (c) 3 (d) 1/8 (e) 5/6 d What is the closest to -7/5 in 12/269, -0.1, -25? -0.1 What is the closest to 0.3472 in -2, -1/6, 3? -1/6 Which is the closest to 1? (a) 0.8 (b) -1/8 (c) -3 (d) -0.64 a Which is the nearest to 0.018? (a) -1/6 (b) -4 (c) -0.04 (d) -2 c Which is the nearest to -25? (a) 41 (b) 1 (c) -0.02 c Which is the nearest to 0.032? (a) 1/3 (b) -3 (c) 971 a What is the closest to 0 in 251, 0, -2/7, 164? 0 What is the closest to -2/29 in 1/161, 1/4, -1/9? -1/9 Which is the closest to -0.1? (a) -15 (b) 240 (c) -1 (d) -2/3 d Which is the nearest to 1? (a) -15 (b) 2 (c) -45 (d) -5 b What is the nearest to 25/6 in 1/5, -0.13, -5? 1/5 Which is the closest to -36/17? (a) 2 (b) -4/7 (c) -2 (d) -0.3 c Which is the closest to 2? (a) 14/3 (b) -4 (c) -18 (d) 0.4 (e) 1/10 d Which is the nearest to 2? (a) 2 (b) -5.048 (c) -4 (d) -5 a Which is the closest to 0.1? (a) 16 (b) -9 (c) -0.041 (d) 0 d Which is the nearest to -1/3? (a) -1/23 (b) 6 (c) 2/5 (d) 3 a Which is the closest to -1/3? (a) -0.4 (b) 2 (c) 5 (d) -7 (e) -159 a Which is the nearest to 0? (a) 0.7 (b) -4 (c) 3.64 (d) 2/3 (e) -1/3 e Which is the nearest to -7? (a) 1/8 (b) 12/5 (c) 2/5 (d) -5 d Which is the nearest to 0? (a) -2 (b) -9 (c) -0.2 (d) -63 c What is the closest to 2/5 in 2/3, -1, 130, 2? 2/3 What is the closest to -2 in -1/5, -2/15, 353? -1/5 What is the closest to 1 in -2/15, -4, -977, 0.1? 0.1 Which is the nearest to -2? (a) 6/77 (b) -4 (c) 0.04 (d) 1/4 b Which is the closest to -2/3? (a) -3/37 (b) -3/4 (c) -2/3 c Which is the nearest to -6/11? (a) 8 (b) 0.7 (c) -1508 b Which is the closest to 2/15? (a) -3/2 (b) 0.1 (c) -18 (d) -10 b Which is the nearest to 1/3? (a) 0.55 (b) -3 (c) 1 (d) 4 a What is the nearest to -1 in -5, 3386, 0.4, -3? 0.4 What is the nearest to 0.3 in 0, -2/15, -79, 3/26? 3/26 Which is the nearest to -17? (a) -4 (b) -225/8 (c) 4 (d) 0.1 b What is the closest to 1 in 2, -2/7, -2/31, -2, -15? 2 Which is the nearest to 83/2? (a) -4 (b) 5/4 (c) -1 (d) 46/3 (e) 2/9 d Which is the closest to 1/4? (a) 1/5 (b) 12 (c) -2/7 (d) 2/9 (e) 0.037 d Which is the closest to -6? (a) 20 (b) -2/7 (c) 2.3 b Which is the closest to 11? (a) 25/4 (b) 2/15 (c) -0.2 (d) -0.06 a Which is the nearest to -2/9? (a) -5 (b) 4 (c) -33 (d) 1/2 (e) 17/4 d Which is the nearest to 0.2? (a) 3/5 (b) -7 (c) -1/473 (d) 1 c What is the closest to 4/3 in -1, -21, -2/9, -0.6, 0.5? 0.5 Which is the nearest to 2? (a) -40 (b) 0.4 (c) 3/5 (d) 0 (e) -1 c Which is the nearest to -70.7? (a) -5 (b) 0.1 (c) -3 (d) 4 a Which is the nearest to -2/3? (a) -0.9 (b) -5 (c) 25.2 (d) 0.1 a What is the nearest to 6.701 in 3, 4, 2, 0.1? 4 Which is the nearest to 0.3? (a) 5 (b) 228 (c) 1.8 (d) 1/3 (e) -0.4 d What is the closest to 1 in 3/8, -2/7, 27? 3/8 What is the nearest to 0 in -0.07, -0.2, 5/12? -0.07 Which is the closest to -1? (a) -3/7 (b) 4 (c) -1 (d) 2/243 c What is the closest to 5 in 0.5, 25.15, -0.4? 0.5 What is the closest to 2/5 in 5, 35/23, 2/7? 2/7 What is the nearest to -2 in -53, 0.01, 3, -1/3? -1/3 Which is the nearest to -1? (a) -4.19 (b) -0.0185 (c) -2 b What is the closest to 0.97 in 4, -1, 18? -1 Which is the nearest to -10? (a) 0 (b) 26150 (c) 1 a What is the closest to -49 in 1/8, -2/3, 2/3, -348, -1/5? -2/3 What is the closest to -106/9 in 1, 2/23, -1, -1/2? -1 Which is the closest to 1/306? (a) -33 (b) -1/4 (c) 0.1 c Which is the closest to 6231? (a) 1/5 (b) -1/2 (c) -1 (d) 3/4 (e) -0.2 d Which is the closest to -0.03? (a) -3 (b) -31 (c) -0.3 (d) 19 (e) -0.2 e What is the nearest to 1/2 in 4, 2/17, -0.4, -4/19, 1? 2/17 Which is the nearest to -1? (a) 0 (b) -14/3 (c) 19/2 a What is the closest to 1/2 in 531, -3, 5, 0.12? 0.12 Which is the nearest to 0.2? (a) -5/7 (b) 0.196 (c) 2 b Which is the nearest to 2? (a) 17/2 (b) -171 (c) 0.1 (d) -0.5 (e) -0.11 c What is the nearest to -7/2 in -1, -9, -5, -13/6? -13/6 What is the closest to 16/3 in 0.02, -1, -4, -9/11? 0.02 Which is the nearest to -1/3? (a) 2/13 (b) -25.8 (c) -5/4 a What is the nearest to -2/21 in 4, 1/2, -4, -2/17, -0.19? -2/17 What is the nearest to 0.14 in -141, 0.02, 2/15? 2/15 Which is the closest to 2? (a) 3/7 (b) -66 (c) 1/2 (d) -116 (e) 4 c Which is the closest to 0.1? (a) 23 (b) -14 (c) 2 c Which is the nearest to -0.01? (a) 2 (b) -4 (c) 3 (d) 0.291 d What is the closest to 1/3 in -0.1, -9/4, 449? -0.1 What is the nearest to -1.0544 in 2/15, 4, 10? 2/15 Which is the nearest to -175? (a) 3.5 (b) 2 (c) -0.3 c What is the nearest to 1 in -0.01, -2/11, -136499? -0.01 What is the closest to -1 in -2, 49, -163? -2 What is the closest to 0.1 in -1, -2/9, 74, 5? -2/9 What is the closest to 1 in 0.2, -35, 1/3, 26/11, -2? 1/3 Which is the closest to 6? (a) 1 (b) 79 (c) 0.16 a What is the nearest to -188 in -2, -0.3, 2/21, 0.1? -2 Which is the nearest to 123? (a) -2 (b) 1 (c) -11/5 b Which is the closest to 0.02? (a) 5 (b) -31 (c) 1 (d) -105 c Which is the nearest to -6? (a) 2/5 (b) -8 (c) 12 (d) -270 (e) 4 b What is the closest to -2 in -2/7, 5, -13, 4? -2/7 What is the ne
{ "pile_set_name": "DM Mathematics" }
6)*(-4)/a a multiple of 12? True Suppose -8*s + 768 + 32 = 0. Is 4 a factor of s? True Let o be 14/8 - 12/16. Suppose 3 = -3*k - 5*p + 12, -5*k + 3*p - 19 = 0. Is 22/((o/k)/(-1)) a multiple of 14? False Let b = 57 - 26. Let p be ((-60)/(-50))/(2/5). Suppose -b = -i + p*k + k, 4*i = k + 199. Is 17 a factor of i? True Let h(q) = -q**2 - 9*q - 3. Let s be h(-8). Suppose 4*c - 2*c - z = 144, -s*z = -20. Is c a multiple of 11? False Suppose 5636 = 10*b + 1186. Is b a multiple of 49? False Suppose 3*o = 6 - 24. Let t(z) = 833 - 1663 + 826 - 13*z - 2*z**2. Is t(o) a multiple of 2? True Suppose -3*v = -j + 146, 4*v - j + 55 = -138. Let f(y) = -2*y**2 - 3*y + 4. Let u be f(-4). Let a = u - v. Is a a multiple of 12? False Let o be (1 - -41)*(-10)/20. Let l(r) = 2*r**2 + 41*r + 31. Is 6 a factor of l(o)? False Let g be 1/(-1 - (-60)/56). Suppose 0 = -2*o + 2 - g. Is 351/36*(-16)/o a multiple of 26? True Let j(i) = 103*i**2 + 2*i - 2. Is 29 a factor of j(-2)? True Let t be (-51)/(-21) - (-2)/((-14)/3). Suppose 0 = -4*u - 2*c + 6*c + 84, -3*u = t*c - 68. Is u a multiple of 3? False Is 49 a factor of (383 - -1) + (-6 - 0)? False Suppose o + 4*y - 1940 = -o, -5*o - 3*y = -4815. Is 60 a factor of o? True Let s = 513 - -240. Suppose g - 7 = -3, -3*a + 3*g = -s. Is 41 a factor of a? False Let t = 429 + -109. Suppose -t = o - 9*o. Is o a multiple of 10? True Suppose -10*u + 98 = 4*u. Suppose 3*p = u*p - 48. Does 4 divide p? True Suppose -5*q = -2*a + 36, -2*q + 12 = 5*a + 38. Does 10 divide (0 + (-150)/21)/(q/56)? True Let t = 143 - 127. Suppose -231 = -19*x + t*x. Is x a multiple of 6? False Let u = -9 + 14. Suppose 0 = -s + u - 3. Suppose -d - s*d + 168 = 0. Is 17 a factor of d? False Let y(i) be the second derivative of -11*i**3/6 - 3*i**2 - 7*i. Is 10 a factor of y(-9)? False Suppose 115 = 3*h - 4*k, -h = 3*k - 54 - 6. Let w = 102 - h. Is 19 a factor of w? True Let m = 65 - 43. Let u = m + 23. Is u a multiple of 15? True Is (117*1)/((-75)/(-10) - 6) a multiple of 2? True Suppose 0 = -3*s + 39 - 411. Let y = 228 + s. Suppose 14 = -2*o + y. Is 15 a factor of o? True Let l(q) be the first derivative of q**4/4 - 4*q**3/3 - q**2/2 + 4*q + 4. Let c be l(5). Let a = c + -16. Is 8 a factor of a? True Let v(a) be the third derivative of 19*a**4/6 - a**3/2 + 25*a**2. Is 45 a factor of v(3)? True Let d = 98 - -23. Suppose 0 = -2*p + d - 11. Is p a multiple of 8? False Suppose 2*t - v - 17 = 0, -t - 4*v + 3 = v. Suppose -3*p + 5*p = t. Suppose 0 = p*l - l - 63. Does 7 divide l? True Suppose -3*v = 2*y - 204, 5*v + 3*y - 240 - 101 = 0. Is 7 a factor of v? True Suppose 4*y + 3*f - 2206 = 0, -4*y - 4*f + 544 = -1660. Does 3 divide y? False Let u(x) = 17*x - 8 + 15*x + 2. Is 36 a factor of u(5)? False Let m = 15 + -10. Suppose 2*o = m*u + 4, u + 0*u - 4 = -2*o. Suppose -2*r + 108 = o*r. Is 15 a factor of r? False Suppose -c + 15 = -4*n, 2*n = 3*c - 2*n - 29. Let p be 12/42 + 495/c. Suppose -3*s - 6*u = -11*u - p, 0 = -2*s + 4*u + 50. Is 5 a factor of s? False Let w(p) = p**3 - 7*p**2 - 4*p + 1. Let u(z) = -z**2 + 7*z + 2. Let d be u(7). Suppose -d*s - 8 = -3*s. Is w(s) a multiple of 13? False Let d = 236 + -164. Does 6 divide d? True Let n be ((-905)/(-30) - -2) + 2/(-12). Suppose -n = -3*y + 4. Is 2 a factor of y? True Suppose -5*p - 2*s + 3397 = 0, 3*s = -18 + 6. Does 26 divide p? False Let n(q) = 5*q**3 + 2*q**2 - 18*q + 3. Is 18 a factor of n(5)? False Let f be (-1)/(2*1/(-6)). Let a be -5*(-1 + -3 + f). Suppose 0 = -a*i + 37 + 3. Is 7 a factor of i? False Let l(h) = 8*h**2 + 3*h - 2. Let y(u) = -7*u**2 - 3*u + 2. Let a(r) = -5*l(r) - 6*y(r). Is 4 a factor of a(-3)? False Let m be (-27)/(-45)*(3 + 2). Suppose -4*w - 2*v = -w - 2, 5*v = -m*w + 5. Suppose w*r = 2*r - 64. Is r a multiple of 16? True Suppose 0 = 2*o - 4*o - 58. Let m = o - -56. Is m a multiple of 9? True Let y(l) = -7*l**3 + l**2. Let u(d) = -d**3 + 1. Let h(q) = -6*u(q) + y(q). Let a be h(0). Let c = a - -50. Is 22 a factor of c? True Let t = 84 - 85. Let g = -1 + -8. Is (-429)/g + t/(-3) a multiple of 16? True Let p(n) = 101*n - 60. Is p(4) a multiple of 22? False Let t(y) = 8*y**3 - 2*y**2 + y + 2. Let w be t(-1). Let z = w + 13. Does 3 divide z? False Let x be 4/(-6)*(-958 - -4). Suppose -5*d = 2*k - x, -2*k + 5*d + 288 = -k. Is k a multiple of 31? False Let k = -10 + 18. Suppose -2*r + k = -0, 4*r - 22 = -2*i. Suppose d - 2*o = 102, 2*d + i*o = -o + 180. Is 32 a factor of d? True Let l(y) = -5*y**3 - 2*y**2 - y. Let z be l(-1). Let h(n) = 2*n**2 + 1 + n - 1 - z - 2*n. Does 12 divide h(4)? True Suppose 4*y - 20 = 3*m, 2*m + 2*y - 10 = -m. Suppose m = -h - 0*h. Suppose -3*x + 43 = 2*q, -x - q - 1 + 16 = h. Does 10 divide x? False Let x be (0 - 1) + -4 + -315. Suppose 6*n - 1090 = 11*n. Let q = n - x. Is 26 a factor of q? False Let a be -3 + (-6 - -4 - 1). Let z(o) = -3*o**2 - 4*o - 5. Let d(r) = 4*r**2 + 5*r + 4. Let v(k) = a*z(k) - 5*d(k). Does 10 divide v(0)? True Suppose -15*u = -0*u - 3045. Does 32 divide u? False Suppose -2*u + 9366 = 4*o - 0*u, 0 = -3*o + 3*u + 7047. Is 9 a factor of o? False Let p be ((-5)/15)/(2/(-102)). Suppose -52 = 4*f + 5*v, -5*f + 3*v - p = 11. Is f/28 + (-478)/(-7) a multiple of 17? True Let w(f) = -17*f**2 - 8*f - 8. Let v be w(-2). Let k = v - -64. Is k even? True Suppose 3*i = 2*t - 0*t + 14, -4*t = -4*i + 20. Suppose q - i*q = 0. Is 13 a factor of q + (-8)/(-4) + 59? False Suppose -50 = -5*d + 3*i + 51, 5*d = -4*i + 122. Let v be d/6*(-10 - -4). Let o = 45 + v. Is 18 a factor of o? False Let a(s) = s**2 + 3*s - 4. Does 8 divide a(6)? False Let q(u) be the third derivative of u**6/60 - 11*u**5/60 + 3*u**4/8 + u**3/2 + 3*u**2. Let g be q(7). Suppose 0 = -10*m + 13*m - g. Does 31 divide m? False Let q(z) = -7*z**3 - 3*z**2 - 3*z - 5 + 4 + 0. Is q(-1) a multiple of 3? True Let c = 82 + -39. Let p(w) = -w**3 - 5*w**2 + 4*w + 3. Let j be p(-4). Let y = j + c. Is y a multiple of 14? True Let v(x) = 4*x**3 - x**2 - 2*x - 1. Let d be v(2). Suppose 7*y - 10*y = -15. Suppose -d = -y*i + 137. Is i a multiple of 18? False Let j(u) = -4*u. Let i be j(-5). Let r = i - 32. Is 238/6 + 8/r a multiple of 10? False Let w(g) = 3*g**2 + 5*g + 19. Let u be w(-8). Suppose j + 22 - u = 0. Is 14 a factor of j? False Suppose 2*m - m - 20 = 0. Suppose -5*f - 2*n = 2*n - 50, -5*f + m = -2*n. Does 14 divide (-14)/21 + 400/f? False Let l = -1 + 1. Let a be -1*1 - 17/(221/(-52)). Suppose 0 = -l*b + 4*b + 8, 4*b - 28 = -a*h. Is h a multiple of 12? True Suppose 0 = -4*v - 3*r + 3473, 3*v - 44*r - 2606 = -45*r. Is v a multiple of 79? True Suppose 114 = 2*h - 146. Does 13 divide h? True Let w(r) = r**3 - 17*r**2 - 18*r + 19. Suppose 3*t = -f + 58, 2*t - 52 = 3*f - 7*f. Does 19 divide w(t)? True Suppose 1962 + 2644 = 47*h. Is 3 a factor of h? False Let r = -813 - -837. Is 6 a factor of r? True Let n = 14 + -19. Let l(y) be the second derivative of -y**5/20 - y**4/6 + 2*y**3/3 - 5*y**2 + 2*y. Is l(n) a multiple of 14? False Let f be (-6)/8 + 9279/(-12). Let o = f + 423. Is 6/(-15) + o/(-15) a multiple of 6? False Let i(d) = 7*d**3 + 18*d - 2 - 11*d**3 - 3*d**2 - 14*d + 26*d**3. Does 34 divide i(2)? True Let b = 297 + 76. Does 29 divide b? False Suppose 0 = -4*a + 31 + 9. Let g = 25 - a. Is g a multiple of 4? False Suppose 0 = 5*z - 4*f - 2189, -3*z + 119 = -f - 1200. Is 2*1 + z/7 a multiple of 13? True Let v(r) = r - 11. Let c be v(6). Let o = 0 - c. Suppose 0*f + 2*f - 27 = o*g, -18 = -4*f - 2*g. Is 3 a factor of f? True Suppose -12*b = -6*b - 18. Suppose 3*a - 2*u - 82 = 22, b*u + 12 = 0. Is a a multiple of 8? True Suppose -35*w = -31*w + 1024. Let k = w + 441. Is k a multiple of 59? False Let v(o) = -o**3 - 28*o**2 + 23*o + 38. Is v(-29) a multiple of 76? False Let w be 31/11 - (-8)/44. Suppose -18 = -0*v + w*v. Let s = v - -16. Does 10 divide s? True Suppose -5*x = 0, 0 = -2*h - 4*x + 3 - 1. Is 215*6/8 - h/4 a multiple of 23? True Suppose -12*a + 21*a - 5796 = 0. Does 28 divide a? True Let c(n) = 4*n - 19. Let i(k) = 7*k - 38. Let u(f) = 5*c(f) - 3*i(f). Let l be u(14). Suppose l*t = -t + 258. Does 9 divide t? False Let b(g) = g**3 + 22*g**2 - 116*g + 8. Is b(5) a multiple of 5? False Let o(a) = 15*a**3 - 4*a**2 - 15*a + 168. Does 138 divide o(6)? True Suppose 0 = 5*j - 2*j - 69. Let t(u) = -26*u**
{ "pile_set_name": "DM Mathematics" }
rue Does 45 divide 5335650? True Is 328 a factor of 2214003? False Does 10 divide 3553098? False Is 3 a factor of 1577572? False Is 4 a factor of 120412? True Is 3 a factor of 36039? True Is 169685 a multiple of 58? False Is 1033420 a multiple of 9? False Is 1112355 a multiple of 631? False Is 97898 a multiple of 31? True Does 355 divide 879088? False Does 30 divide 61590? True Is 98 a factor of 11565470? True Is 127 a factor of 110299? False Is 1312894 a multiple of 166? True Is 1718515 a multiple of 235? False Is 338102 a multiple of 17? False Is 17 a factor of 6322619? False Is 74655 a multiple of 189? True Does 36 divide 176874? False Is 791 a factor of 745122? True Is 1844864 a multiple of 2? True Is 165 a factor of 1105247? False Does 19 divide 46074? False Is 184 a factor of 580152? True Is 10 a factor of 264972? False Is 34 a factor of 19999968? False Is 113 a factor of 305326? True Is 9626331 a multiple of 57? True Is 110715 a multiple of 305? True Does 101 divide 163115? True Does 13 divide 8850842? True Is 1038220 a multiple of 57? False Is 52 a factor of 1289744? False Is 311178 a multiple of 5? False Does 11 divide 3478454? False Is 145 a factor of 56985? True Is 2207617 a multiple of 912? False Is 6833065 a multiple of 38? False Is 741629 a multiple of 36? False Does 7 divide 85113? True Is 29 a factor of 613060? True Is 2 a factor of 15817? False Is 30264871 a multiple of 207? False Is 16 a factor of 5868666? False Is 100048 a multiple of 296? True Does 776 divide 478294? False Does 55 divide 117040? True Is 10 a factor of 51099? False Is 12 a factor of 420768? True Is 129 a factor of 3962106? True Is 24 a factor of 486720? True Is 364 a factor of 151549? False Does 54 divide 6119820? True Is 224 a factor of 269675? False Is 918 a factor of 4075002? True Is 214419 a multiple of 50? False Does 89 divide 1288248? False Is 1345872 a multiple of 12? True Does 44 divide 111848? True Is 195170 a multiple of 14? False Is 94 a factor of 2145421? False Is 663602 a multiple of 45? False Is 10 a factor of 15110? True Is 1461814 a multiple of 123? False Does 6 divide 27601? False Is 5546129 a multiple of 17? False Does 6 divide 7230? True Is 19449 a multiple of 4? False Is 3028597 a multiple of 936? False Is 970 a factor of 8912360? True Is 77182 a multiple of 37? True Is 135 a factor of 3324915? True Is 43872 a multiple of 243? False Is 7222 a multiple of 46? True Is 295 a factor of 26255? True Does 429 divide 118344? False Is 2491830 a multiple of 45? True Is 39 a factor of 811797? False Does 278 divide 700744? False Does 498 divide 2613236? False Is 205 a factor of 34426? False Is 4 a factor of 1457351? False Does 241 divide 461398? False Does 637 divide 763763? True Is 94962 a multiple of 95? False Is 304 a factor of 938448? True Is 182471 a multiple of 10? False Is 37632 a multiple of 16? True Is 445 a factor of 5237491? False Is 2 a factor of 105551? False Is 185742 a multiple of 9? True Is 202623 a multiple of 10? False Is 196800 a multiple of 82? True Does 22 divide 5287524? True Is 273488 a multiple of 46? False Does 106 divide 370046? True Is 3 a factor of 125624? False Is 61 a factor of 3687816? True Is 7939775 a multiple of 121? False Does 501 divide 41082? True Does 374 divide 6811288? True Does 43 divide 93181? True Does 42 divide 20370? True Is 107425 a multiple of 12? False Does 72 divide 15734? False Is 1707332 a multiple of 3? False Is 115 a factor of 13208670? True Is 210 a factor of 532980? True Does 25 divide 6033? False Is 49 a factor of 27215? False Is 155499 a multiple of 11? False Is 188 a factor of 3227960? True Does 136 divide 6990805? False Does 3 divide 34881? True Is 32 a factor of 182752? True Is 1108354 a multiple of 26? True Does 33 divide 232353? True Is 135972 a multiple of 6? True Does 13 divide 2589507? False Does 9 divide 74259? True Does 28 divide 75977? False Does 319 divide 1525926? False Is 21 a factor of 262965? False Is 956250 a multiple of 102? True Is 87896 a multiple of 6? False Is 706048 a multiple of 46? False Is 63110 a multiple of 44? False Is 53 a factor of 36762? False Is 642540 a multiple of 30? True Is 8 a factor of 93995? False Is 186675 a multiple of 4? False Does 659 divide 2385495? False Is 147730 a multiple of 158? True Does 32 divide 601751? False Is 3941316 a multiple of 5? False Is 720300 a multiple of 300? True Is 511500 a multiple of 124? True Is 1236230 a multiple of 683? True Is 12 a factor of 60444? True Is 18 a factor of 169830? True Is 131 a factor of 267502? True Is 233 a factor of 824521? False Is 13373 a multiple of 4? False Does 97 divide 713370? False Is 731005 a multiple of 139? False Is 342015 a multiple of 209? False Is 109648 a multiple of 22? True Does 89 divide 561057? False Is 74 a factor of 23642? False Is 94 a factor of 7827333? False Is 294372 a multiple of 18? True Does 9 divide 2431155? False Does 6 divide 75358? False Does 121 divide 218042? True Is 405118 a multiple of 38? True Is 68709 a multiple of 255? False Is 520416 a multiple of 416? True Is 5862588 a multiple of 10? False Is 6 a factor of 4086? True Does 206 divide 16383856? False Is 689 a factor of 615966? True Is 663264 a multiple of 196? True Is 679683 a multiple of 58? False Does 13 divide 3334681? False Is 85960 a multiple of 28? True Is 421535 a multiple of 5? True Is 80864 a multiple of 361? True Is 534546 a multiple of 2? True Is 8 a factor of 1457105? False Does 9 divide 315312? False Is 1266 a factor of 3306110? False Does 58 divide 2661149? False Is 25 a factor of 133229? False Does 8 divide 9719632? True Is 41 a factor of 967866? False Is 250 a factor of 245000? True Does 19 divide 547075? False Does 370 divide 14730810? True Is 184275 a multiple of 9? True Is 283825 a multiple of 25? True Is 72468 a multiple of 54? True Is 25427 a multiple of 4? False Does 369 divide 51857? False Does 112 divide 1178673? False Does 32 divide 10944? True Does 63 divide 1408854? False Is 544 a factor of 1867198? False Is 102 a factor of 3052104? False Is 1808571 a multiple of 57? False Is 5479509 a multiple of 2177? True Does 236 divide 74104? True Is 3 a factor of 2259550? False Does 15 divide 1086? False Is 34020 a multiple of 63? True Does 175 divide 94500? True Does 12 divide 1451328? True Is 59911 a multiple of 21? False Is 81 a factor of 6445650? False Does 46 divide 4907878? True Is 162 a factor of 363366? True Is 3 a factor of 38859? True Is 462168 a multiple of 63? True Does 3 divide 555293? False Is 25 a factor of 544375? True Is 1912518 a multiple of 6? True Is 249650 a multiple of 201? False Is 9 a factor of 481266? True Is 1193304 a multiple of 24? True Is 10 a factor of 40718700? True Is 5 a factor of 20865? True Is 236 a factor of 363914? False Is 192 a factor of 638498? False Is 71885 a multiple of 11? True Is 3291963 a multiple of 252? False Is 187356 a multiple of 12? True Is 43 a factor of 40850? True Does 288 divide 153933? False Is 18 a factor of 25110? True Does 14 divide 485604? True Is 479552 a multiple of 12? False Does 90 divide 90590? False Is 261846 a multiple of 223? False Is 360468 a multiple of 38? True Is 1281852 a multiple of 83? True Does 5 divide 25260? True Is 733374 a multiple of 21? False Does 6 divide 22130? False Is 65 a factor of 3220620? True Does 12 divide 772764? True Is 42 a factor of 9660? True Is 320 a factor of 3126400? True Is 333694 a multiple of 22? False Does 33 divide 557738? False Is 10180500 a multiple of 12? True Does 8 divide 448072? True Is 163 a factor of 218424? False Does 688 divide 3222592? True Does 11 divide 83108? False Is 63 a factor of 1587411? True Does 9 divide 2807750? False Is 63996 a multiple of 22? False Is 773 a factor of 66478? True Does 4 divide 956400? True Does 29 divide 7795656? False Does 14 divide 563486? True Does 23 divide 1717985? True Does 19 divide 1531720? False Is 1667179 a multiple of 1824? False Is 66 a factor of 516714? True Is 33 a factor of 606606? True Does 26 divide 587054? True Is 18 a factor of 159948? True Is 11534186 a multiple of 459? False Does 821 divide 2852062? False Does 54 divide 124618? False Is 197 a factor of 1588017? True Does 149 divide 15347? True Does 207 divide 5288414? False Is 54965
{ "pile_set_name": "DM Mathematics" }
5*f + 1 - 1. Let k(l) = -13*l**2 + 7*l. Determine u*q(m) - 5*k(m). 2*m**2 Let i(w) = -7*w**2 + 8. Let d(y) = 8*y**2 - 9. What is 4*d(n) + 5*i(n)? -3*n**2 + 4 Suppose 4*y + 3*p - 11 = 5, 8 = 2*p. Let z(s) = 15*s + y - 1. Let a(b) = 20*b + 16. Let m(f) = 6*f + 5. Let h(x) = 5*a(x) - 16*m(x). Determine 22*h(q) - 6*z(q). -2*q Let k(n) = -10*n**3 - 8*n**2 - 10*n - 6. Let q(x) = 19*x**3 + 15*x**2 + 19*x + 11. Calculate -11*k(c) - 6*q(c). -4*c**3 - 2*c**2 - 4*c Let u(a) = 2*a**2 - 4*a - 1. Let x(i) = -2*i**2 + 3*i. Let j(s) = -s**2 + 13*s - 14. Let v be j(12). Calculate v*u(q) - 3*x(q). 2*q**2 - q + 2 Let x(q) = -q**3 - 5*q**2 - 2*q. Suppose 7*v - 4 = 3*v. Let u be ((-10)/(-8))/((-3)/12). Let w be (v/3)/(u/(-15)). Let t(a) = a**2. What is w*x(y) + 5*t(y)? -y**3 - 2*y Let x(b) = -b. Suppose 5 = 5*o + 3*j, -j = -3*j. Let s = 4 - 3. Let q(c) = s + 0 - 3. Determine o*q(k) - 2*x(k). 2*k - 2 Let d(b) = -b + 1. Suppose -22 = 4*o - 0*y + 5*y, -5*y = -5*o - 5. Let w(j) be the second derivative of -j**3/6 + 5*j**2/2 - 3*j. Determine o*d(p) + w(p). 2*p + 2 Let x(i) = -43*i**2 + 5*i + 1. Let b(t) = 11*t**2 - t. What is -9*b(w) - 2*x(w)? -13*w**2 - w - 2 Let m(w) = -5*w**3 + 6*w**2 - 4*w - 32. Let b(z) = -9*z**3 + 11*z**2 - 7*z - 63. Give 6*b(h) - 11*m(h). h**3 + 2*h - 26 Let c = 14 + -9. Let m(t) = 44*t - c*t**3 - 49*t - t**3. Let z(o) = -3*o**3 - 3*o. Determine -3*m(n) + 5*z(n). 3*n**3 Let t = 20 - 22. Let z(r) = 4*r + 16. Let o(p) = p + 4. Let s(h) = 9*o(h) - 2*z(h). Let u(c) be the first derivative of -2*c + 2. What is t*s(x) - 5*u(x)? -2*x + 2 Let h(m) = -4*m**3 - 3*m + 9. Let c(n) = 6*n**3 - 3*n. Let t(k) = 7*k**3 - 4*k + 1. Let x(v) = -5*c(v) + 4*t(v). What is -2*h(g) + 5*x(g)? -2*g**3 + g + 2 Let r(z) = -3*z**2 + 7*z + 3. Let k = 2 + -7. Let t(a) = -4*a**2 + 8*a + 4. Let q(d) = -d**2 - 22*d - 15. Let b be q(-21). Determine b*r(v) + k*t(v). 2*v**2 + 2*v - 2 Let t(o) = -o**2 - o - 1. Let q(u) = -5*u - 4. Calculate -q(p) + 2*t(p). -2*p**2 + 3*p + 2 Let v(h) = -18*h - 1. Let d(t) = -91*t - 6. Give 2*d(s) - 11*v(s). 16*s - 1 Let o(z) be the second derivative of 3*z**3/2 + 3*z**2 + 6*z. Let a(y) = -19*y - 13. Determine 6*a(j) + 13*o(j). 3*j Let m(v) = v**3 - v. Let a(j) be the second derivative of j**5/10 - j**3/6 - j**2 + 10*j. Determine a(x) - 3*m(x). -x**3 + 2*x - 2 Let y(d) = 3 - 3 + 4 - 8*d + d. Let r(o) = 6*o - 3. Give 4*r(a) + 3*y(a). 3*a Let s be (20/(-6))/((-2)/(-3) - 0). Let o(c) = -13*c**2 - 5*c + 5. Let f(k) = 20*k**2 + 8*k - 8. What is s*f(h) - 8*o(h)? 4*h**2 Let z(w) be the first derivative of 2*w**2 - 4*w + 1. Let k(l) = -l + 1. Let d = -1 - 9. Let i(m) = m**2 - 7*m + 3. Let f be i(6). Calculate d*k(o) + f*z(o). -2*o + 2 Let q(o) = -o**2 - 2*o + 1. Let b(n) = n**2 + 3*n - 2. Calculate 3*b(y) + 5*q(y). -2*y**2 - y - 1 Let v(o) = -o**2 + 3. Let s be v(0). Let f = 1 + 1. Let d(q) = -4*q + 1. Let x(j) = 4*j - 3 + 0 + 1 + j. Determine f*x(r) + s*d(r). -2*r - 1 Let w(a) = -a**2 + 2. Let u(f) = f**2 - 1. Let j be 3*2/(-3) + 4. Let d(q) = -2*q. Let s be d(-2). Determine j*w(r) + s*u(r). 2*r**2 Let r(c) = -3*c - 4. Let z(w) = w + 1. Suppose -1 = n - 4*i + 13, i = -4*n + 12. Let j = 5 - 4. Calculate j*r(b) + n*z(b). -b - 2 Let i(j) = -626*j + 309*j + 316*j. Let f(c) = 4*c - 1. What is -f(l) - 2*i(l)? -2*l + 1 Let a(z) = -2*z**3 - 53*z**2 + 4. Let x(u) = 2*u**3 + 52*u**2 - 3. Calculate 3*a(s) + 4*x(s). 2*s**3 + 49*s**2 Let n(f) = 3 + 2 - 6. Let l(u) = 2*u**2 + u + 6. Suppose -2*v - 2*v - 5*d = -44, 2*v - 8 = d. What is v*n(j) + l(j)? 2*j**2 + j Let p(m) = -3*m + 3. Let j be p(3). Let v(t) = 4*t**2 + t. Let n be -5*((-2)/3 + 116/(-60)). Let x(z) = 9*z**2 + 2*z. What is j*x(q) + n*v(q)? -2*q**2 + q Let w(m) = 10*m - 6. Let t be 1/(-3)*(-90)/5. Let o(r) = -9*r + 5. What is t*o(n) + 5*w(n)? -4*n Let v(r) = r. Let p(u) = 3*u + 2. Suppose -5*h - 11 = -2*n, -4*h = 5*n + 82 - 27. Let b = 3 + n. Calculate b*v(x) + p(x). -x + 2 Let h(b) = -b**2 - 2*b. Let s(q) = q - 5. Let u(p) = -p + 6. Let v(n) = 6*s(n) + 5*u(n). Let g = -45 + 43. Calculate g*v(f) - h(f). f**2 Suppose 2*f - 12 = 2*d, 5*d + 4 + 6 = 0. Let c(l) = -4*l - 7. Let b(h) = 3*h + 6. What is f*c(g) + 5*b(g)? -g + 2 Let y(g) = -g - 1. Let q(w) = -w**2 - 4*w - 5. Let f(h) = -q(h) + 4*y(h). Let s = 4 - 3. Let i(l) = 7*l**2 - l + 5. What is s*i(b) - 6*f(b)? b**2 - b - 1 Let d(a) = -3*a**2 - 6*a. Let p = 19 + -13. Let r(m) = -2*m**2 - 5*m. Determine p*r(i) - 5*d(i). 3*i**2 Let o(r) = -r - 3. Let p(x) = -6*x**3 - x**2 + x. Let j be p(1). Let w(b) = -2. Give j*w(u) + 4*o(u). -4*u Let v(y) = 2*y**2 + 11*y + 5. Let p(k) be the third derivative of 1/4*k**4 - 3*k**2 + 0*k + 1/60*k**5 + 0 + 1/2*k**3. What is -7*p(b) + 4*v(b)? b**2 + 2*b - 1 Let q(r) = -5*r - 1. Let w(i) = 14*i. Let m be w(-1). Let p = m - -10. Let u(l) = 3*l - l - l. Give p*u(j) - q(j). j + 1 Let y(n) = -5*n. Let c(v) be the second derivative of 4*v**3 - 7*v. What is -6*c(i) - 28*y(i)? -4*i Let b(u) be the third derivative of u**5/10 + 5*u**4/24 - 2*u**3/3 + 30*u**2. Let x(d) = -17*d**2 - 14*d + 11. Calculate 11*b(m) + 4*x(m). -2*m**2 - m Let z(t) = -2*t - 4. Let u be z(-3). Let j be 3/u*6/9. Let c(s) = -s + 1. Let g(p) = 14*p - 14. Determine j*g(n) + 12*c(n). 2*n - 2 Let y(z) = z**3 + z**2 + z. Let f = 7 + -4. Suppose -d + f*l + l + 2 = 0, 3*l + 9 = 2*d. Let j(c) = 7*c**3 + 6*c**2 + 6*c. Give d*y(q) - j(q). -q**3 Let v be -3 + 12*1 + 0. Suppose 7*r - 4*r - v = 0. Let y(w) = -w - 1. Let l(c) = 2*c**3 - 3*c - 4. Calculate r*y(a) - l(a). -2*a**3 + 1 Let t(d) = -6*d + 5. Let p(b) = -6*b + 6. Let r(j) = 2*p(j) - 3*t(j). Let q(v) = 7*v - 3. Calculate -5*q(l) + 6*r(l). l - 3 Suppose 10 - 14 = 4*z. Let q(r) = -r - 1. Let f(d) = d**2 - 4*d - 3. Calculate z*f(m) + 6*q(m). -m**2 - 2*m - 3 Let k(z) = -z**3 + 8*z**2 + 11*z - 2. Let h be k(9). Let t be (-76)/h - (-3)/4. Let r(j) = 2*j**2 + 3*j - 2. Let y(a) = -5*a**2 - 7*a + 5. Give t*y(d) - 9*r(d). 2*d**2 + d - 2 Let j(n) = n**3 + 9*n**2 + 2*n - 3. Let m(i) = -i**3 - 9*i**2 - 3*i + 4. Give -5*j(r) - 4*m(r). -r**3 - 9*r**2 + 2*r - 1 Let x(z) = 6*z - 7. Let i(o) = -o. Let l(a) = 2*a + 5. Let h(j) = -6*i(j) - l(j). What is 7*h(d) - 5*x(d)? -2*d Let u(o) = 2*o + 0 + o**2 - 6*o - 2 - 4*o**2. Let n(s) = 6*s**2 + 7*s + 4. Calculate 6*n(g) + 11*u(g). 3*g**2 - 2*g + 2 Let c(f) = -10*f**2 - 2*f + 2. Let r(s) = -11*s**2 - 2*s + 1. Give 2*c(p) - 3*r(p). 13*p**2 + 2*p + 1 Let y(v) = 2*v**2 + 3*v + 2. Suppose -8 - 4 = -2*k. Let n be (4 - -1)*k/10. Let a(x) = -x - 1. Determine n*a(f) + y(f). 2*f**2 - 1 Let b(q) = q + 1. Let r(f) = 5. Let c(n) = n**2 - 2*n - 5. Let u be c(4). Let o(m) = 5 + 5*m - u*m - 3*m. Let p(j) = -3*o(j) + 4*r(j). What is 4*b(g) - p(g)? g - 1 Let w(m) = 5*m - 1. Let o(p) = 1. Let h(k) = -2*o(k) + w(k). Let s(g) = 4*g - 2. Calculate -2*h(d) + 3*s(d). 2*d Let h(v) = v**2 - 1. Let y(c) = 7*c**2 - 8. Suppose -k + 2 - 7 = 0. Let x = k - -8. Determine x*y(u) - 24*h(u). -3*u**2 Let h(m) = 8*m. Let o(u) = -u**2 - u. Give -h(w) - 2*o(w). 2*w**2 - 6*w Let w(k) = k + 0*k - 8 - 2. Suppose -2*q - 2 = -q. Let u(i) = 0 - 2 + 0. Determine q*w(t) + 9*u(t). -2*t + 2 Let i(w) = -w**3 + w**2 - w. Let p(l) = 18*l**3 + l**2 - l. Calculate -2*i(g) + 2*p(g). 38*g**3 Let j(r) = r + 4. Let u(y) = 5*y + 20. Give 11*j(d) - 2*u(d). d + 4 Let b(h) = 41*h**3 - 11*h**2 - 6*h. Let m(a) = -8*a**3 + 2*a**2 + a. Determine -2*b(x) - 11*m(x). 6*x**3 + x Let q(h) = -1. Let a(m) = 3*m - 6. Determine -a(w) - 2*q(w). -3*w + 8 Let m(z) = 6*z**2 + 4*z + 2. Let u(f) = 17*f**2 + 11*f + 6. What is -11*m(n) + 4*u(n)? 2*n**2 + 2 Suppose 3*j - 3 = -3*y, -3*y + 2*j + 2 = -y. Let m(r) = -5*r - 3. Let i(c) be the third derivative of -c**4/24 - c**3/6 - c**2. Give y*m(v) - 4*i(v). -v + 1 Let s(c) = -4*c**2 - 6*c. Let g(z) = -z**2 - z. What is -10*g(u) + 2*s(u)? 2*u**2 - 2*u Let t(z) = -55*z**2 + 3*z - 3. Let n(u) = 8526*u**2 - 464*u + 464. Determine -3*n(k) - 464*t(k). -58*k**2 Let d(i) = 3*i**2 + 3*i + 3. Let q(s) = -12*s**2 - 11*s - 11. Calculate -22*d(u) - 6*q(u). 6*u**2 Let o(l) = -3*l + 6. Let y(i) = -5*i + 11. Let v = 6 + -2. Calculate v*y(b) - 7*o(b). b + 2 Let r(k) = -16*k**3 + 11*k**2. Let t(g) = -g - 1. Let m be t(-4). Let u(w) = 6*w**2 + 0*w**2 - m*w**3 - 4*w**2. Let q = 10 - 6. What is q*r(p) - 22*u(p)? 2*p**3 Let n(j) = 13*j + 151. Let x(p) =
{ "pile_set_name": "DM Mathematics" }
+ 4. Let c be t(0). Let i = c + o. Does 3 divide i? False Let h(z) = z**3. Let y be h(-2). Is (-234)/(-14) - (y/28 - 0) a multiple of 10? False Let v(s) = -s**3 + 2*s**2 + 4*s - 3. Let p be v(3). Let g be (-10 + p)*(-6)/10. Suppose -g*y + 329 + 7 = 0. Is y a multiple of 11? False Let l(p) = p**3 - 6*p**2 + 6*p - 6. Let u(s) = 2*s**3 - 2*s**2 - 2*s + 1. Let a be u(2). Let c be l(a). Is 2 a factor of c - (-2 - 1) - -5? False Let z(j) = 26*j**2 - 29*j + 8. Does 34 divide z(-8)? True Let a(w) = -28*w**3 - w**2 + 4*w + 8. Is a(-2) a multiple of 44? True Let m be (3 - 2)/((-1)/(-3)). Let h = -26 + -10. Is 12 a factor of h/(((-9)/4)/m)? True Suppose 5*n + 2*d = 4524, 4*n + 0*d - 3*d - 3610 = 0. Is 8 a factor of n? True Let r(f) = 76*f - 200. Does 8 divide r(3)? False Let z = 18 + -13. Suppose 5*m - 15 = z. Does 2 divide ((-32)/40)/(m/(-10))? True Let v(y) = -14*y + 8. Let s(x) = -x - 1. Let p(t) = 5*s(t) + v(t). Let o be p(-3). Is 10 a factor of ((-27)/6)/((-9)/o)? True Let b(v) = v**3 - 2*v + 1. Let d be b(2). Let a be (-316)/(-4) + (d - 3). Suppose 0*z - 5*z = l - 192, 2*z - l - a = 0. Does 21 divide z? False Let d = 12 + 3. Let c(h) = -2*h**2 + 32*h - 10. Does 10 divide c(d)? True Suppose 0 = -4*i + 573 + 219. Is 33 a factor of i? True Suppose -4022 = -3*z + 2*c, -3*c - c = 16. Is z a multiple of 14? False Let z = 205 - 99. Is 18 a factor of z? False Let v(c) = 2*c**3 + c**2 - c. Let j be v(1). Suppose -j*t + 14 = 2. Does 3 divide t? True Suppose 7 = c + 4. Let k be (-2)/2 + c - 0. Suppose -2*h - 3*h + 290 = -k*m, -3*m = -2*h + 105. Is h a multiple of 20? True Let u(o) = o**2 + o + 7. Suppose -3*j = j. Let m be (j - 0)*19/(-38). Is 7 a factor of u(m)? True Let d(c) = c**3 + 21*c**2 - 14*c - 28. Is d(-19) a multiple of 16? True Let d(z) = z**3 - z**2 - 2*z + 2. Let k be d(1). Suppose k = 4*u - u - 243. Is 37 a factor of u? False Suppose -2390 = -4*y - 950. Does 36 divide y? True Let q(z) = -z + 1. Let w be q(7). Let i(n) be the third derivative of n**5/60 + 5*n**4/24 + 7*n**2. Is 6 a factor of i(w)? True Let r be -4*131*1/(-5 - -3). Suppose 0*h - 5 = -h, 4*k - r = -2*h. Does 9 divide k? True Suppose -s + 5*w - 13 = -218, -5*s = 2*w - 1160. Is 23 a factor of s? True Let b = 6 + -445. Let l = 735 + b. Is 46 a factor of l? False Suppose 6*n - 13*n = -2058. Is 42 a factor of n? True Let f = 32 - 47. Let h = 757 + -723. Let w = f + h. Is 8 a factor of w? False Suppose 0 = -19*c + 13*c + 11988. Is 18 a factor of c? True Let w be (-6)/9 + (-38)/(-3). Suppose -3*y + 3*u + 36 = 0, -y + 2*y - 3*u - w = 0. Does 3 divide (-4)/(-6) + 40/y? False Suppose -j = j + 4*h + 100, -127 = 2*j - 5*h. Let n = j + 219. Is 25 a factor of n? False Suppose -21950 = -5*k + 5*z, 11*k = 13*k - 3*z - 8779. Is k a multiple of 114? False Let m(p) = -p**2 + 20*p + 1. Suppose -3*r + 30 = 3*y + 3, 4*r - 4*y = 36. Is m(r) a multiple of 25? True Let i = -13 + 21. Suppose 2*g - s = 159, i*g - 10*g - 3*s = -163. Is 42 a factor of g? False Let v be (8*-4)/(-4) - 1. Suppose -v*j + 19 = -331. Does 50 divide j? True Suppose 6*g + 91 = 19*g. Suppose -2*t - 1 = -g, 4*x = 4*t + 20. Is x a multiple of 2? True Let x be (0/(-1 - -4))/(-2). Let g be x/((-3 - 2) + 3). Suppose 5*a = -4*k + k + 329, g = -2*a + 4*k + 116. Is a a multiple of 32? True Let b(q) = 14*q**3 + 2*q**2 + q + 17. Let v(d) = 5*d**3 + d**2 + 6. Let z(t) = 6*b(t) - 17*v(t). Let r be z(-6). Suppose -76 = -2*f - r*f. Does 19 divide f? True Suppose 2*s = 5*v - 8329, 4*v - 5*s = -10*s + 6650. Does 15 divide v? True Suppose -7*i + 37*i - 101640 = 0. Is 25 a factor of i? False Does 11 divide 1 + -2 + -1 + (1984 - 2)? True Suppose 1964 = -13*n + 31799. Is 17 a factor of n? True Let p = 22 - -14. Let k = 56 - p. Does 7 divide k? False Let a(y) = -12*y**3 - 2*y + 8*y + 8*y**2 + 2 + 3*y + 11*y**3. Let d be a(9). Suppose -4*l - 5*w + 120 = 0, d*l + w - 29 = l. Is l a multiple of 19? False Let l be (-4)/6 - 20/(-3). Suppose 2*c - l*c = 0. Suppose 5*n + 2*t - t = 79, -t - 1 = c. Does 8 divide n? True Let g(t) = 18*t + 6*t - 35*t**2 + 18 - 6*t + 37*t**2. Does 15 divide g(-9)? False Suppose -26*a - 11894 = -43614. Does 10 divide a? True Let f be -1 + (6 - 2)*-1. Let k(a) = -5*a - 29. Let d(l) = 3. Let z(s) = 14*d(s) + 2*k(s). Is 34 a factor of z(f)? True Let i(o) = -9*o + 9. Let g(h) = -2*h + 2. Let b(n) = 24*g(n) - 5*i(n). Suppose -2*q - 7*a = -3*a + 36, 0 = 5*q + 5*a + 80. Is b(q) a multiple of 15? True Let y be 13/2*60/10. Suppose 143 = 2*z + 4*w + 41, y = z + 5*w. Is 9 a factor of z? False Let p = -152 - -239. Let z = 156 - p. Is z a multiple of 23? True Suppose -5*r = -2*p + 2 + 8, 0 = 5*r + 10. Suppose 13 = 2*a - 3*v, -v = -p*a - a + 5. Is a a multiple of 2? True Does 22 divide ((-87)/(-6))/(3/132)? True Let y(m) = m + 13. Let l be y(6). Let w = -29 + l. Let o = 14 + w. Is o even? True Let v = 6464 - 4510. Does 24 divide v? False Let c(z) = 14*z - 1. Let p be c(1). Let l = p - 13. Suppose -135 = -3*n - 0*n + 2*f, l = f. Is 15 a factor of n? True Let w(g) = -7 + 3*g - 6*g - g + 0*g. Let d be w(-3). Is 9 a factor of ((-28)/d)/((-12)/30)? False Let r = 15 + -11. Suppose 0 = -r*g + g. Suppose -2*l - l = 2*w - 53, -5*w - l + 100 = g. Is 5 a factor of w? False Let l(f) = 5*f - 1. Let k be (-1)/(-5) - 14/(-5). Is l(k) a multiple of 13? False Suppose 0 = -4*y + 4*i + 2636, -17*y + 21*y + 3*i = 2650. Does 3 divide y? False Let u be (-1276)/2*1/(-2). Suppose 3*c - 8 = k - 99, 4*k - u = 3*c. Does 10 divide k? False Let t(p) = -p**2 + 3*p - 33. Let m(g) = g**2 - g. Let k(z) = -2*m(z) - t(z). Let b be k(0). Suppose -5*l = -4*r + 40, l - 1 = -2*r + b. Is 5 a factor of r? True Let z = -967 - -1726. Is 26 a factor of z? False Let b(j) = -j**3 - 14*j**2 - 13*j + 6. Suppose -7*p = -12*p - 65. Let i be b(p). Suppose -7*a + i*a = -13. Does 9 divide a? False Let t be ((-8)/20)/((-3)/120). Suppose 4*k - 4 - t = 0. Suppose -5*p - 3*x = -98, 0 = k*p + 2*x + 2*x - 94. Is 22 a factor of p? True Suppose 35*w - 145641 = -30981. Is w a multiple of 9? True Suppose 4812 = 21*f - 2118. Does 4 divide f? False Let w = 9 - 29. Let p = -157 + 70. Let h = w - p. Is 19 a factor of h? False Let f = 897 + -396. Is f a multiple of 33? False Let a be -12*((-57)/(-6) - 4). Is (-5622)/a - (-4)/(-22) a multiple of 6? False Suppose 7050 = 4*l + y, -2*l = -l + 5*y - 1753. Is l a multiple of 41? True Let y(s) = 545*s + 88. Does 38 divide y(2)? True Let b be ((-4)/(-10))/((-6)/(-30)). Suppose 0*i - 3*i + 254 = -p, 4 = -b*p. Is 14 a factor of i? True Is ((-141)/(-4))/((-81)/(-1836)) a multiple of 47? True Is 10 a factor of (-294)/(-5)*(-10)/(-4)? False Is (7 - (-100)/(-15))*522 a multiple of 3? True Let k(b) = -b**3 + 8*b**2 - b + 11. Let q be k(8). Let g = -3 + q. Is 8 a factor of g - 2*(-58)/4? False Let z(v) = -v**3 - v + 3. Let s be z(0). Suppose 4*n = s*o + 130 + 24, 3*n - 130 = -5*o. Does 25 divide n? False Let n = 20 - 15. Suppose n*a = 7*a. Suppose 3*v - 2*x - 34 = a, -3*v + 5*x + 32 = 1. Does 3 divide v? True Suppose 0 = -2*o + 3*v - 67, 4*v = 2*v - 2. Let w be (o/(-15))/(2/(-6)). Let c(g) = -7*g - 7. Does 21 divide c(w)? True Suppose -5*p - 3*p = -1024. Is 64 a factor of p? True Let x(g) = g + 96. Let d be 0/(0 + 1 + 1). Is 32 a factor of x(d)? True Let w = 146 + -75. Let p = w - 25. Suppose 3*s + 3*r = -2*r + p, -3*s + 4*r + 28 = 0. Is 4 a factor of s? True Let u(v) = -2*v**2 - v - 1. Let j be u(-1). Is (-1)/j + 87/6 a multiple of 3? True Let o(p) = p**2 - 3*p - 5. Let r be o(4). Let d be (-2 - r)*15/(-3). Let x = d - -25. Is 15 a factor of x? True Let z(q) = -11*q - 238. Is z(-29) a multiple of 3? True Let k be (-1)/(2*2/(-4)). Let y(s) = -s**2 + 14*s - 27. Let w be y(11). Let l = k + w. Is l a multiple of 3? False Let m(h) = h**3 + h**2 - 4*h. Let s be m(-3). Let a = s - -9. Suppose 31 - 1 = 2*q - 5*x, -38 = -a*q + 4*x. Is 10 a factor of q? True Suppose -4*u - 39 = -11. Let c(l) = -l**3 - 5*l**2 + 5*l + 7. Is 35 a factor of c(u)? True Let p(q) = -q**3 + 20*q**2 - 4*q + 82. Is p(18) a multiple of 23? False Let u(x) = x**2 - x - 18. Let p be u(0). Let w(g) = g**2 + 18*g + 13. Is w(p) a multiple of 13? True Let t(b) = -3*b. Let f be t(4). Let w be 6/f + 374/(-4). Let s = 170 + w. Is 15 a factor of s? False Let l = 7 + -11. Let a(v) = v**2 + 2*v - 5. Let o be a(l). Is 3 a fact
{ "pile_set_name": "DM Mathematics" }
/3, 28/9, 0.2, -1/10? 0.2 Which is the second smallest value? (a) 2/277 (b) -0.5 (c) 0.1443 a Which is the third smallest value? (a) -1/5 (b) -5 (c) 2/7 (d) -3 (e) 0 a Which is the second biggest value? (a) 36 (b) -68 (c) 2/5 c What is the smallest value in 2/15, -1, 1, -0.3, 555? -1 What is the third biggest value in 3/2, 0, -2, -5/6, -26? -5/6 Which is the second smallest value? (a) -0.1 (b) 1918/307 (c) 3 c Which is the smallest value? (a) -2/5 (b) 0.09 (c) -5 (d) 0.1 (e) 2 (f) -0.01 c Which is the second biggest value? (a) -2 (b) -9919 (c) 3 a Which is the second smallest value? (a) -2419.6 (b) 57 (c) -0.3 c What is the smallest value in -2, 0.34, -2/39, 34.7? -2 What is the fifth biggest value in -21, 2/7, 0.07, 5, -50, -4/7? -21 What is the smallest value in 0.2, -2/3, 65, -38? -38 Which is the smallest value? (a) 1 (b) -0.17 (c) -0.04 (d) -7085 d What is the fourth biggest value in -5, -2/11, 3/5, 74, 1/10? -2/11 Which is the second smallest value? (a) -5 (b) 0.05153 (c) 1 (d) 1/7 b What is the third biggest value in -0.03, 29/6, -0.4, 6, -1/3, -0.2? -0.03 What is the fourth biggest value in 2/9, 2/59, -4/5, 0.2, 70/9? 2/59 What is the biggest value in -3/13, -0.1, -78? -0.1 Which is the fifth biggest value? (a) -9 (b) -3.2 (c) 10.1 (d) -1 (e) -0.3 (f) -0.4 b What is the fifth smallest value in 1/6, -1, 11110, -0.5, 1? 11110 What is the second biggest value in 4/3, 4288, 18? 18 Which is the smallest value? (a) -1028 (b) 0 (c) 5 (d) -92 (e) 0.5 a Which is the biggest value? (a) 8/13 (b) -3 (c) -2/13 (d) -8 a What is the second smallest value in -0.3, -15146, -5, 0.1, 2? -5 Which is the smallest value? (a) -4 (b) 5 (c) -34/53 (d) 0.1 (e) 34 a Which is the third biggest value? (a) -0.2 (b) -1715 (c) -21 b What is the smallest value in -1.7, -2, 1/11, 9/38, -0.1, -2/3? -2 Which is the third smallest value? (a) 2/15 (b) -62/11 (c) 3 (d) 4/9 (e) -0.4 a Which is the third smallest value? (a) -0.31 (b) -4 (c) -35 (d) -4/9 d Which is the fifth smallest value? (a) 1/4 (b) 2/299 (c) 2 (d) 0.5 (e) 1/7 c Which is the smallest value? (a) 0.4 (b) -3 (c) -3/5 (d) 2/203 (e) 3 b Which is the fifth biggest value? (a) 0.2 (b) -2 (c) -1.7 (d) 1 (e) -0.5 (f) 175 c What is the biggest value in -5, 1.5, 2/269? 1.5 What is the third smallest value in -23, -1.2, -2/89? -2/89 Which is the smallest value? (a) 0.5 (b) 0.1 (c) 723 b What is the smallest value in -2/39, 0, -3793, -2/9? -3793 What is the biggest value in 2, -1/4, 4, 5, -47, 5/2? 5 Which is the second smallest value? (a) 0.3 (b) 11/2 (c) 5 (d) 4 (e) 6 d Which is the biggest value? (a) 46 (b) -0.2 (c) 0.5 a What is the second biggest value in 3/4, 2, -0.3, -0.1, 1/2? 3/4 What is the third smallest value in -0.1, -0.061, 0, 20, -2/15, -3? -0.1 What is the smallest value in -362, -83, 3, -4? -362 Which is the third biggest value? (a) 4 (b) 5 (c) 2 (d) -14646 c What is the third smallest value in -0.4, -1/6, -53, -29? -0.4 Which is the biggest value? (a) 16 (b) -0.1 (c) 3 (d) -1/3 (e) -3.8 a What is the third biggest value in -2, 2/5, -4.1, 89, -4, -0.3? -0.3 Which is the second smallest value? (a) -1450 (b) -4 (c) 4 (d) 3 (e) 0 (f) 2/5 b Which is the biggest value? (a) 0.1 (b) 62.9 (c) 2/3 (d) -3/8 (e) 0 (f) -2 b Which is the second smallest value? (a) 1/2 (b) -4 (c) 1 (d) -2879 b What is the biggest value in 87, 0.033, -0.28? 87 Which is the third smallest value? (a) -3 (b) -813 (c) -4/7 (d) -1 (e) -2/7 d What is the second biggest value in 4, 5, -9308? 4 What is the fifth smallest value in 2, -0.19, 0.047, -1, 0, 116? 2 What is the third biggest value in 38004, -2/9, 5? -2/9 Which is the third biggest value? (a) -5 (b) 4 (c) 128 (d) -0.6 d Which is the fifth biggest value? (a) 2 (b) 4/7 (c) -0.3 (d) -1725 (e) -0.4 (f) 1 e Which is the third smallest value? (a) -6 (b) 0.05 (c) 0.5 c What is the second biggest value in 311, -2, 0.5? 0.5 What is the smallest value in -3, 0, -79, -0.3, -84? -84 What is the second smallest value in 3, 29, 2, 1, -1.78? 1 Which is the second smallest value? (a) -1/5 (b) -0.3 (c) 0.5 (d) 2/5353 a Which is the second smallest value? (a) -3/5 (b) 161 (c) 1 (d) -2 a Which is the biggest value? (a) 3/11 (b) 206 (c) 0.06 b Which is the third smallest value? (a) 0.1247 (b) -18 (c) -1 a What is the biggest value in 1, 1/5, -4, -2/7, -1/25831? 1 Which is the second smallest value? (a) -2/461 (b) 15 (c) 1/8 c Which is the third biggest value? (a) 0 (b) -23 (c) -9452 c Which is the fourth biggest value? (a) -89/9 (b) 8 (c) 2 (d) 1/3 a Which is the third smallest value? (a) 4/29 (b) 5 (c) -1/2 (d) -0.077 a Which is the third smallest value? (a) 15/2 (b) -6 (c) -0.1 a Which is the fourth smallest value? (a) 72 (b) 2 (c) 0.1 (d) -17 a What is the second biggest value in -3, 1331/42, -2? -2 What is the third smallest value in -1, 2/1953, -2/9, 0.5, 2/7? 2/1953 What is the smallest value in 2, -111072, 5? -111072 Which is the biggest value? (a) -0.4 (b) 3 (c) -0.1 b What is the second smallest value in -0.13, -2, -5457, 3/4? -2 What is the smallest value in 1, 0.625, -3? -3 What is the second biggest value in -3, 16, 0.04, 2/7? 2/7 What is the biggest value in 3/17, -1839, 9? 9 What is the third biggest value in 1, -161656, 0.5? -161656 What is the smallest value in 3, -2/71, -9/7? -9/7 What is the second biggest value in 0.012, 0.3, -1, 18, 3/4? 3/4 Which is the third biggest value? (a) 55 (b) -64 (c) -0.6 b What is the fourth biggest value in 1/7, 2/3, 2183, 0.7? 1/7 Which is the second smallest value? (a) -4/5 (b) 0.05 (c) 0 (d) -0.1 (e) -3/25 e What is the second smallest value in -0.286, -3, 78? -0.286 What is the third smallest value in 31, -5/6, 2/9, -10? 2/9 What is the smallest value in 841/3, -295, -3? -295 Which is the smallest value? (a) 0.1 (b) 3/4 (c) 2 (d) 1 (e) -296 (f) -2 e What is the second smallest value in 5, 2/57, -5, -1.2? -1.2 What is the second smallest value in -7/5, -1/49, 3/7? -1/49 Which is the fourth biggest value? (a) 0 (b) -8 (c) 61 (d) -0.45 (e) 2 d Which is the second biggest value? (a) 3 (b) -17 (c) 8 (d) 44/5 c Which is the fourth smallest value? (a) 1/10 (b) 0 (c) 4/3 (d) 1 (e) 22/7 c What is the smallest value in -19582, 1/4, 0.1? -19582 Which is the biggest value? (a) -69/8 (b) -3 (c) -1/21 c What is the second biggest value in -56, 3/29, -1/3, -0.1, 0, 2/45? 2/45 What is the fourth smallest value in -360, -5, 1/4, 20/21? 20/21 Which is the fifth biggest value? (a) -1 (b) -1013 (c) -5/3 (d) -4 (e) 2/5 b What is the second smallest value in -0.04, 3, -4, -2/3, -131, -1/5? -4 What is the biggest value in -0.467, 2/285, -5? 2/285 What is the smallest value in -3, 1, 153, 42? -3 Which is the sixth smallest value? (a) 98 (b) 0.8 (c) -1 (d) -1/4 (e) 1/2 (f) -1/9 a What is the fourth smallest value in 3/4, 3, 5, 1.8, -123? 3 Which is the second biggest value? (a) -19683 (b) 1 (c) -2 c What is the fifth smallest value in -5, -2/9, 0.1, -8, 4, 4.8? 4 Which is the biggest value? (a) 2/9 (b) -3/8 (c) -8 (d) -0.1 (e) -2011 a Which is the fifth biggest value? (a) 8/25 (b) -5 (c) 14 (d) 0.2 (e) -1/9 b What is the smallest value in -0.32, -27, -2/9, -2/5, 0.5? -27 What is the smallest value in 0.0289, 42, 4? 0.0289 What is the second smallest value in 3, -3, 0.4, -237? -3 What is the third biggest value in -33, -24, -344? -344 What is the fourth biggest value in 0, 1/9, -47, 2, -142, -2? -2 Which is the fourth biggest value? (a) -0.1 (b) -7611 (c) -2/7 (d) 2 b Which is the second biggest value? (a) 3 (b) 2 (c) -50 b What is the smallest value in 4, 1, -344, -2/7, 4/9? -344 Which is the biggest value? (a) 0.16 (b) -3 (c) -3/3373 (d) 2 d Which is the fourth smallest value? (a) 2 (b) 3 (c) 0.1 (d) -10 (e) 2102 b What is the second smallest value in 8, -1, -0.02, -1.5, -0.01? -1 Which is the biggest value? (a) -7 (b) -4 (c) -3579 (d) 5 (e) 3 (f) 0.3 d What is the second biggest value in 13, 4, 9/17, -5? 4 What is the third biggest value in -0.5, 7, -216? -216 Which is the third smallest value? (a) 4 (b) 2/65 (c) -5 (d
{ "pile_set_name": "DM Mathematics" }
5 Expand -5*w**4 + 3*w**5 + 5*w**4 + (-5*w**2 + 7*w**2 + 9*w**2 + (-w**2 + 0 + 0)*(-1 + 0 + 0) + 17*w**2 + 98*w - 98*w)*(0*w**3 + w**3 - 2*w**3). -26*w**5 Expand ((43 + 24 - 32)*(0 + 2 - 4) + 1 - 5 + 3 + 5 - 5 + 1)*(7 - 4*j**2 - 7). 280*j**2 Expand (r - 3 + 3)*(1488*r + 1276*r - 1902*r). 862*r**2 Expand (-3*r + 0*r + r)*(793*r + 30*r**3 - 793*r + (0 + 0 - r**2)*(14*r - 18*r + 6*r)). -56*r**4 Expand (-w + w - 2*w)*(-w + 6*w - 4*w)*(-3220711*w**2 - 1 + 4 + 3220346*w**2). 730*w**4 - 6*w**2 Expand (-3 + 1 + 3)*(-r - 1 + 1)*(-6283 - 1162 + 2517)*(2*r - 1 + 1). 9856*r**2 Expand (5455 + 907 + 12657 - 2831 + 11684)*(-4*h + 0*h + 5*h + (3*h + 2*h - 4*h)*(2 + 2 - 2) + 0*h - h + 2*h). 111488*h Expand (-15*u + 52*u - 29*u)*(170 - 261 + 296). 1640*u Expand (4*o**3 + 3*o**3 - 5*o**3)*((2*o - 3 + 3)*(0 + 1 - 2) + o - 3*o - 3*o + 37*o + 3*o - 16*o). 34*o**4 Expand (1 + 0 + 2 + (-6 + 4 - 1)*(3 + 2 - 6))*(-q - q**4 + q) - 135*q**4 - 109*q**4 + 8*q**4. -242*q**4 Expand x**3 + 0 + 0 + (-2*x - 2*x + 3*x)*(-x**2 - 2 + 2) - 2251*x**3 - x + 1126*x**3 + 1117*x**3 + 1. -6*x**3 - x + 1 Expand -1955*t**2 + 1955*t**2 + 179*t**3 + (3*t**3 - 3*t**3 + 2*t**3)*(1 + 1 + 0) - 5*t**3 + 2*t**3 + 5*t**3 + 3*t**3 + 2*t**3 - 3*t**3 + 2*t - 2*t - t**3. 186*t**3 Expand (-67 + 3571*n**2 - 76 - 66 + 209)*(12*n**2 + 3*n - n - 3*n). 42852*n**4 - 3571*n**3 Expand (33*i**2 - 3*i**2 + 5*i**2)*(2 + 2*i**2 - 2) + 2*i**4 - 2*i**4 + 2*i**4. 72*i**4 Expand 3*v - 3*v - v - 2*v - 3*v + 2*v + (v - 5*v + 3*v)*(3 + 1 - 2) - 4 + 4 + v + 3*v - 4*v + 0*v + 62*v + 23 - 23. 56*v Expand (-4*w**2 + w**2 + 0*w**2 + (0*w**2 + w**2 + 0*w**2)*(-1 + 0 + 5))*(4*w - w + 0*w) + 2*w**3 + w**3 + 0*w**3. 6*w**3 Expand (-3*a + 3*a + 5*a)*(0*a - 4*a + 3*a)*(-361 - 136 - 132). 3145*a**2 Expand -9114 + 1198*h**3 + 9114 + (-2*h - h**2 + 2*h)*(2*h - 4*h + 0*h) + (1 - 8 - 2)*(2*h**3 - 2*h**3 - h**3). 1209*h**3 Expand (45*x**2 - 45*x**2 - 2*x**3)*(-523*x**2 + 850*x**2 - 498*x**2) - 2*x**5 + x**3 - x**3. 340*x**5 Expand (p**3 + 2 - 2)*(1 - 1 - p) + (-692 - 348*p + 692)*(-4*p**3 + p**3 + 2*p**3). 347*p**4 Expand 7*o**2 - 7*o**2 + 5*o**3 + (-4 + 2 + 1)*(-o**3 - 2*o**3 + 2*o**3) + (-17*o - 14*o + 32*o)*(14*o**2 + o**2 - o**2). 20*o**3 Expand (-2*i**2 - 5 + 5 + (3*i + i - 2*i)*(-2*i + 4*i - 4*i) - i**2 - 2 + 2)*(-4 + i + 3 + 2 - 34*i**2). 238*i**4 - 7*i**3 - 7*i**2 Expand -42 + 26 - 2730*o + 16 + o - o + 2*o + 3 - 3 - 2*o + (-2 + 5 - 4)*(2*o + 2*o - 6*o) + 0 - o + 0. -2729*o Expand (-w + 0*w - 3*w)*(2 + 2 - 1)*(-w**4 - 14*w**4 - 13*w**4). 336*w**5 Expand -l**5 + 0*l**5 - l**5 + (l + l + 0*l)*(-2 + 2 - 2*l**4) - 2 + 138*l**5 - 42*l**5 - 42*l**5. 48*l**5 - 2 Expand (-6*c - 3*c + 3*c)*(-139*c**2 + 819*c**2 + 241*c**2)*(-6*c**2 + 3*c**2 + c**2). 11052*c**5 Expand -15*y**5 + 4*y**5 - 8*y**5 + 2*y**5 - 7*y**5 + (y - y + y)*(-505*y**4 - 232*y**4 + 255*y**4). -506*y**5 Expand (153*x**2 + 245*x**2 - 35*x**2 + x**2 - x**2 - 3*x**2 + (-3*x - 4*x + 5*x)*(4*x - 4*x - x))*(3*x**3 - 4*x**3 + 2*x**3). 362*x**5 Expand (-3*f**3 + 0 + 0 + (3*f**2 - 2*f**2 - 2*f**2)*(-10*f + 4 - 4))*(6*f**2 - f**2 + 2 - 10*f**2). -35*f**5 + 14*f**3 Expand 28*w**5 - 11*w**5 + 67*w**5 + (-23 + 11 - 6)*(-4 - 1 + 3)*(-2*w**5 + 4 - 4). 12*w**5 Expand (6 + 4 - 4)*(5*l**4 + 5*l**4 - 4*l**4) - l**4 + l**3 - l**3 + (-2*l - l + 4*l)*(13*l**3 - 4*l**2 + 4*l**2) + l**4 + l**4 - 4*l**4. 46*l**4 Expand (0*v**3 - 2*v**3 - 4*v**3)*(-3*v**2 + 12*v**2 + 2*v**2) + 77*v**4 - 17*v**5 - 77*v**4. -83*v**5 Expand ((-5 + 2 + 1)*(2 + 4 - 5) - 4 + 3 + 2 - 351 + 1019 + 1021)*(n**2 - 2*n + 2*n). 1688*n**2 Expand (0*r + 0*r - 3*r - r**2)*(-433*r + 198*r - 465*r + 145*r). 555*r**3 + 1665*r**2 Expand (-2*p + 0*p + 0*p)*(-1244 - 999 + 1815)*(4*p + p - 2*p). 2568*p**2 Expand (6 - 1 - 3)*(7*j - 7*j - 2*j)*(-205*j + 3 + 0 - 6 + 72*j). 532*j**2 + 12*j Expand (-4 + 2 + 0)*(-3*l**5 + l**5 - 2*l**5) + (2*l**2 + 4 - 4)*(107*l**3 - 1952*l**2 + 1952*l**2). 222*l**5 Expand -4*o**4 - 40*o**4 - 21*o**4 + (2*o**3 + 0*o**2 + 0*o**2)*(-5*o + o - 9*o) + 0*o**4 - 3*o**4 + o**4. -93*o**4 Expand 2*m**5 + m**5 - m**5 + (-2*m**4 + 5*m**4 + 0*m**4)*(-23*m + 30*m - 11*m) - 4*m**5 + 5*m - 5*m. -14*m**5 Expand ((-2*k + 0*k - 2*k)*(1 - 5 + 1) + (-3*k + 0*k + 6*k)*(2 + 2 - 5))*(-13 + 13 + 4*k + (-4*k + 0*k + 6*k)*(-4 + 5 + 0) - 2*k - 2*k + 3*k). 45*k**2 Expand (2*r + 2*r + 3*r)*(25 + 25 - 8 + 58). 700*r Expand (653 + 5*p**2 + 863578*p - 863578*p)*(2*p**2 - 2*p**3 - 2*p**2). -10*p**5 - 1306*p**3 Expand (-j + 0*j + 2*j)*(j**3 + j**2 - j**2) - 157*j**2 + 211*j**2 - 699*j**4 - 7015*j**4 - 54*j**2. -7713*j**4 Expand -10*w**2 - 94*w**2 + 29*w**2 + (-69 - 445*w - 65 + 134)*(-1 + 1 - w). 370*w**2 Expand (-3*t + t + t)*((-2*t + t + 0*t)*(7*t - 3*t - 3*t) - 422 + 5*t**2 - 2*t**2 + 131*t - 133*t)*(3*t + 0*t - 4*t). 2*t**4 - 2*t**3 - 422*t**2 Expand (-3*x + 4*x - 4*x)*(-154 - 481 + 3508 - 1 + 0 + 0 + (-1 + 0 - 1)*(-3 + 3 + 2)). -8604*x Expand -2*k**2 + k**2 + 0*k**2 + (0 - 2*k + 0)*(k + 2*k - k) + (0*k + 40*k + 27*k)*(49 - 49 + 2*k). 129*k**2 Expand (3 - 3 + u**2)*(702 + 800 + 439 + (1 - 2 + 2)*(-1 + 3 - 3)). 1940*u**2 Expand (0 - 4 + 3 + (5 - 3 + 0)*(-2 + 0 + 0) + 3 - 1 + 1 + 1 + 6 - 2 - 1 + 2 + 1)*(-k - 3*k + 3*k + (k - 2*k - k)*(-1 - 3 + 3) + 11*k + 27 - 27). 60*k Expand 186*j**2 - 4*j**2 + 0*j + 0*j + (-3 + 3 - 2)*(3*j**2 + j**2 - 5*j**2) + j**2 + 2*j**2 - 2*j**2 - 1 + 1 + 2*j**2. 187*j**2 Expand (54 - 13*b - 54)*(725 - 725 + 7*b**2 - 2*b**2 + 2*b**2 + b**2 + (-4*b**2 + 5*b**2 - 3*b**2)*(-2 + 4 - 1) + b - b - 2*b**2 + 2*b**2 - 5*b**2 + 5*b**2). -78*b**3 Expand (13*q**2 + 18*q**2 + 4*q**2)*(2*q + 0 + 0) - 2*q**3 + 53*q**3 - 12*q**3. 109*q**3 Expand 14*s - 12*s**5 - 14*s + (-s + s - s)*(2*s**3 + s**4 - 2*s**3) + (-3*s**3 + 0*s**2 + 0*s**2)*(0*s**2 - 2*s**2 - 5*s**2). 8*s**5 Expand (4 + 0 - 2)*(-14*t + t - t + (2 - 4 + 3)*(-21815 + 21815 - 78*t))*(3 + 2*t**3 - t**3 - 2). -184*t**4 - 184*t Expand (-15*h**4 + 37*h**4 + 200*h**2 - 207*h**2)*(-2*h + 9*h + 2*h). 198*h**5 - 63*h**3 Expand (15*y**4 - 22*y**2 + 22*y**2)*(-155*y + 74*y + 83*y + 159). 30*y**5 + 2385*y**4 Expand -y**4 + 12*y**2 - 12*y**2 + (2*y**4 + 2*y**4 - 5*y**4)*(-3 + 1 + 1) + 0*y**4 + 0*y**4 + y**4 + 6*y**4 - 2*y**4 + 0*y**4 - y**4 + 6*y**4 + 4*y**4. 14*y**4 Expand (0*o**2 + 2*o**2 - o**2)*(-29 + 22 - 30)*(8 - 14 - 87). 3441*o**2 Expand 109700*t**2 - 258*t**3 - 109700*t**2 + (2 - 2 + 1)*(t - 2*t**3 - t) + (2*t**2 - t**2 - 4*t**2)*(3 + t - 3) + t**3 + 0*t**3 - 3*t**3. -265*t**3 Expand (12 + 30 + 30 + 13)*(2*a + 3628 - 3630 + 24*a). 2210*a - 170 Expand 16461*k**4 - 16464*k**4 + 111*k**3 - 603*k**3 + (-k + 0*k + 2*k)*(0*k**3 + 3*k**3 - 4*k**3). -4*k**4 - 492*k**3 Expand (-3*a**4 - a**4 + 2*a**4)*(1 - 6 + 4) - 9*a**4 + 0*a**3 + 0*a**3 - 193*a**4 + 19*a**4 - 53*a**4. -234*a**4 Expand (-3 + 2 - 1)*(0*u**3 - 3*u**3 + 4*u**3) + 612227*u - 14*u**3 + 3*u**3 - 612161*u - 3*u**2. -13*u**3 - 3*u**2 + 66*u Expand (-42322*v - 8*v**2 + 21267*v + 21282*v)*(0*v**2 + 2*v**2 - v**2). -8*v**4 + 227*v**3 Expand (-2 + 4 - 1)*(2 + 3*x - 2) - 371*x + 63*x - 191*x. -496*x Expand (-18 - 255*r - 173*r - 152*r + 540*r)*(0*r + 2*r**4 + 0*r). -80*r**5 - 36*r**4 Expand (10*m**2 + 22*m**2 + 12*m**2)*(720753 + 910*m**2 - 720753). 40040*m**4 Expand (-3*s**2 - 2*s**2 + 2*s**2)*(203*s**3 + 215*s**3 + 21*s - 424*s**3). 18*s**5 - 63*s**3 Expand (0 + 3 - 2)*(k - 4*k + 4*k)*(-24*k - 26 + 26)*(3*k - 4*k - k + 0 - k + 0 + (-1 - 4 + 3)*(-2*k + 4 - 4) + 0*k - 2*k + k - k - 4 + 4 + 5*k - 4*k - 3*k). 72*k**3 Expand (-5 + 3 + 1)*(5204*y + 3339*y - 779*y) - 3 + 1 - 4*y + 5*y. -7763*y - 2 Expand ((1 + 0 - 2)*(3 + 4 - 5) + 0 + 1 + 2 + (4 + 2 - 4)*(-1 + 2 + 1) - 1 - 28 - 37)*(5 - 2 + 0*b**2 + 2*b**2). -122*b**2 - 183 Expand (2 - 2 - q)*(-3 + 0 + 0)*(-237*q + 111*q + 580*q). 1362*q**2 Expand -13*n + 37*n**2 + 13*n + (7*n - 13*n - 2*n)*(0*n - n - n) + (3 - 2*n**2 - 5 + 3)*(3 - 2 - 2). 55*n**2 - 1 Expand (-2*x**2 + 3*x**2 - 2*x**2)*(14 + 1 - 9 + (-2 + 4 - 1)*(0 + 0 + 4))*(-x - 3*x**2 + x). 30*x**4 Expand (17*b + 77 - 77)*(0 - 3 + 4) + (18*b + 72*b + 35*b)*(-2 + 4 + 4). 767*b Expand -2*w**3 + 0*w**3 - 7*w**3 + (4*w**2 - w**2 - 2*w**2)*(3*w - 5*w - 6*w) + (w**2 - 2*w**2 - w**2)*(3 - 3 + 2*w). -21*w**3 Expand (-95 + 44 - 69)*(-2 + 2*g**2 + 2) + 3 - 2*g**2 + 6 - 8*g - 11. -242*g**2 - 8*g - 2 Expand -6*f**4 - f**4 + f**4 + (1 + 0 -
{ "pile_set_name": "DM Mathematics" }
a(w). What is p(3)? -3 Let n(x) = 2*x. Let o(m) = 3*m. Let d(w) = 8*n(w) - 5*o(w). Calculate d(3). 3 Let h(v) be the third derivative of 5*v**4/24 - 5*v**2. Suppose 4*k - 3 = 1. Determine h(k). 5 Let r(g) be the third derivative of g**5/60 - 6*g**2. Determine r(-2). 4 Let q(l) be the second derivative of l + 1/20*l**5 - 1/2*l**2 + 0*l**3 + 0 + 0*l**4. Give q(2). 7 Let g(o) = -5*o**3 - o**2 - o - 1. Let f(t) = -t**3 - 7*t**2 - 2*t. Let u be f(-7). Let n be (-10)/45 + u/(-18). What is g(n)? 4 Let i(d) = -d**2 + 5*d. Suppose 4*h = 2*h. Suppose 8 + 17 = -5*t. Let j = h - t. What is i(j)? 0 Suppose o - 8 = -o. Let a(c) = 8*c - 6*c - o - c. Determine a(4). 0 Let k(d) = -d**2. Let a(j) = -2*j**2 + 4*j - 1. Let h(m) = a(m) - 3*k(m). Let s be h(-4). Let v(r) = 4*r - 1. What is v(s)? -5 Let y = -1 + 1. Suppose l + 4*l - 15 = y. Let c(p) = 2*p - p**2 + p**2 - p**2 - 1. Give c(l). -4 Let n(l) = 2*l**2 - 2*l**2 + 9 - 7*l**2 - l**3. What is n(-7)? 9 Let r be 5/2*(-12)/(-10). Let v(h) = -7 + 6*h**2 + 0*h + h + 0*h**r - h**3. Give v(6). -1 Let q(y) = 3*y - 7. Suppose -5*a - w + 0*w = -28, 2*w = -4. Give q(a). 11 Let r(c) = -c**3 - 6*c**2 - 7*c - 2. Let t(a) = -a + 2*a + 2*a - a + 9. Let x be t(-7). Calculate r(x). 8 Let m(j) = 7 - j**2 + j - 1 - 8. Give m(0). -2 Let m = -10 + 12. Suppose 0*q = m*q. Let j(c) = -c + 2. Determine j(q). 2 Let i(p) = p - 1. Suppose 25 = -u + 5*k, 0 = -0*u + 4*u - k + 24. Calculate i(u). -6 Let l(n) = -5*n + 1. Let d = -63 + 64. What is l(d)? -4 Let g(k) = -6*k**2 + 15*k - 8. Let h(l) = 5*l**2 - 14*l + 9. Let u(y) = 4*g(y) + 5*h(y). Give u(9). 4 Let l(k) = -k**2 + 6*k - 6. Let d be -4 - -6 - 0/1. Suppose -d*p - 2*c = 0, -10 = p - c + 4*c. What is l(p)? -1 Let y = -2 + 1. Let r be 2/y + 3 + -5. Let j(l) = l**2 + 5 - 4 + l**2 - 7*l + l**3 - 6. Give j(r). -9 Suppose -2*h = 13 - 3. Let c = -16 - -22. Let k be c*4/30*h. Let n(t) = 2*t + 2. Give n(k). -6 Let v(r) be the third derivative of 2*r**2 + 1/240*r**6 + 1/120*r**5 + 0*r + 1/24*r**4 + 0*r**3 + 0. Let q(w) be the second derivative of v(w). Determine q(-3). -8 Let r(a) = -2*a + 1. Let u be r(3). Let c be 0 - (-4)/(3 - 1). Let s(x) = 0 - x**c - 3 + 2*x**2 + 4*x. Calculate s(u). 2 Let j(g) = -g**2 - 1. Suppose 15 - 3 = 6*w. Calculate j(w). -5 Let z(j) be the third derivative of -j**3 + 1/120*j**6 - 3*j**2 - 1/8*j**4 + 0*j + 1/12*j**5 + 0. Calculate z(-5). 9 Let d(i) = -i + 14. Suppose 3*t + 4*f + 26 = 5*t, -39 = -5*t - 3*f. Give d(t). 5 Let r(o) be the first derivative of -o**4/4 - 4*o**3/3 - 2*o**2 - 2*o + 1. Suppose 3 - 18 = -5*x. Suppose 0*a = a + x. Determine r(a). 1 Let o(l) be the first derivative of -1 - l**2 + l + 5 - 3. Suppose -23*s - 21 = -16*s. Calculate o(s). 7 Let t = 15 - 10. Let k = t + 0. Let n(r) = 2*r**2 - k + 5*r - 2 - 3*r**2. Determine n(5). -7 Let p(l) = -l**3 - 6*l**2 + 8*l + 5. Let t(y) = y**3 - 6*y**2 + 5*y - 7. Suppose 0 = -4*f + 3*i + 32, 3*f + 2*f + i = 21. Let j be t(f). What is p(j)? -2 Suppose 6*r + 5 = 41. Let s(j) = -11. Let l(q) = q + 11. Let v(i) = -4*l(i) - 5*s(i). Let t(g) = -13*g + 34. Let k(w) = -2*t(w) + 7*v(w). What is k(r)? -3 Let u(g) = g**3 - 3*g**2 + 3*g - 1. Let j(z) = z**2 - 3*z - 2. Let a = 5 - 2. Let q be j(a). Let h be (-8)/q + 4/(-2). Calculate u(h). 1 Let l(u) = -u - 1. Suppose 3*p = 5*g + p - 24, 5*p - 21 = -g. Let v be (-3 + g/(-3))*-1. Determine l(v). -6 Let o(i) = 2*i + 2. Let y = 5 + -12. Calculate o(y). -12 Let v be 4*(-1 - (-7)/4). Suppose -27 = -5*b + 4*q, 0 = v*b - 0*q + 2*q - 3. Let h(s) be the first derivative of s**2/2 - 2*s + 5. Give h(b). 1 Let a(k) be the third derivative of -k**4/24 + 5*k**3/6 + 10*k**2. Give a(4). 1 Let i be (-1 - (0 + 14))*20/60. Let y(j) = -j**3 - 6*j**2 - 5*j + 5. Calculate y(i). 5 Let x(i) = 2*i - 26. Let b be x(14). Let f(d) = 3*d**2 - 3*d + 3. Give f(b). 9 Suppose 2*o = -3 + 7. Let u(d) = 52 - 52 - d**3 - 5*d - 5*d**o. Calculate u(-4). 4 Let n = 65 - 72. Let j(v) = v + 4. What is j(n)? -3 Let u(x) = 9*x**2 + 4*x - 7. Let r(t) = -9*t**2 - 3*t + 6. Let j(q) = 6*r(q) + 5*u(q). Give j(-1). -10 Let y = 7 - 11. Let p(q) = -1 - 2 - q**3 - 805*q**2 + 2*q + 802*q**2. What is p(y)? 5 Let w(b) = -6*b - 4. Let m be w(-8). Suppose m - 134 = -5*n. Let v be (-102)/27 + (-4)/n. Let i(g) = -g**2 - g + 5. What is i(v)? -7 Let g(u) be the third derivative of 0*u - 1/6*u**3 - 1/60*u**5 + 0 + 3*u**2 + 1/24*u**4. Suppose 2*t - 5*t - y - 5 = 0, -2*t - y - 3 = 0. Determine g(t). -7 Let g(l) = -6*l + 5. Let n(j) = 1 + 0 + 13*j - 10. Let s(f) = -7*g(f) - 4*n(f). Determine s(-1). 11 Let y(b) be the second derivative of -1/3*b**3 + 2*b + 0 + 4*b**2. Let s be y(6). Let q(l) = -l**2 - 5*l - 6. What is q(s)? -2 Let d be 3/(-1) + 27/3. Suppose -d = -l - l. Let k(g) = g**3 - 3*g**2 + 5*g - 2. Give k(l). 13 Let k be 13 + -3 - -1*1. Suppose 0 = -5*g - 1 + k. Let o(h) = 0 + 3*h + g + 0. What is o(-2)? -4 Suppose i + 2*i = 0. Suppose 3*c + 7 - 16 = i. Let l(y) be the first derivative of -y**4/4 + 4*y**3/3 - 2*y**2 + 3*y + 2. Determine l(c). 0 Suppose 0 = i - 4*i + 9. Let n(d) be the first derivative of -d**4/4 + 4*d**3/3 - 3*d**2/2 + 4*d - 1. Give n(i). 4 Let s(q) = 1 + 2*q + 5*q - 8*q. Calculate s(-3). 4 Suppose -3*a + 2 = -1. Suppose u = 1, -2*u = -2*f + a - 9. Let j(r) = r**2. Give j(f). 9 Let h(t) = -t + 14. Let b(a) = -a**3 - 3*a**2 + a + 3. Let u be b(-3). Give h(u). 14 Let p = 42 + -48. Let u(w) = -w**2 - 5*w + 7. Determine u(p). 1 Let y(m) be the first derivative of -m**6/180 + 7*m**5/120 - 5*m**4/24 - 5*m**3/3 + 3. Let x(k) be the third derivative of y(k). What is x(4)? -9 Let r(b) = -b**3 + 2*b**2 + 2*b - 1. Suppose -3 = -3*u + 2*y + 3, 4*u + 5*y = 8. Calculate r(u). 3 Let y(o) = 6*o - 3*o + 2*o - o + 2. Determine y(-2). -6 Let r(b) = 4*b - 1. Let w be (-4 - -1) + 3 + -5. Let h(u) = -u**3 - 4*u**2 + 5*u - 1. Let k be h(w). Give r(k). -5 Let i(u) = -u**2 - 5*u - 6. Suppose 0 = -p - 3*p - 2*o + 18, -5*p + 5*o - 15 = 0. Let x = -8 + p. Give i(x). -12 Let t(h) = 5*h - 2*h - h - 4*h. What is t(1)? -2 Let b(d) be the third derivative of -d**6/30 - d**5/60 + d**3/6 - 6*d**2. Let y(s) = s**2 - 6*s + 1. Let j be y(6). Determine b(j). -4 Let a(d) = -2 - 6*d**2 - d**3 + 4 + 4*d + 4. What is a(-6)? -18 Let m(p) = 4*p - 3. Let o(q) = 5*q - 31. Let i be o(7). Calculate m(i). 13 Let r(f) = 4*f**3 + f**2 - 1. Let l = -4 + 7. Let j be 0 - (-1 - 0/l). Calculate r(j). 4 Let f(o) be the third derivative of 1/24*o**4 + 2*o**2 - 1/2*o**3 + 0 + 0*o. Let n be (10/40)/((-2)/(-24)). Determine f(n). 0 Let r(m) be the third derivative of m**5/60 + 2*m**2. What is r(1)? 1 Suppose -7 = 3*s + 8. Let j = s - -4. Let k(x) = 6*x**3 + x + 1. What is k(j)? -6 Let w(t) = -7*t**2 + 13*t + 1. Let v(n) = -n**2 + n + 1. Let j(g) = -6*v(g) + w(g). Determine j(7). -5 Let f(a) be the first derivative of -7/2*a**2 + 1/4*a**4 + 2 - 3*a + 4/3*a**3. Let x be ((-5)/3)/(2/6). Give f(x). 7 Let x(h) = -2*h**2 - 3*h + 5. Suppose -4*d - 16 = 2*l + 10, -l - 9 = d. Give x(l). -30 Let f(z) = -3*z**2 - 11*z + 9. Let t(q) = -q**2 + 8*q - 3. Let o be t(7). Let b(l) = -l**2 - 6*l + 5. Let r(g) = o*f(g) - 7*b(g). Determine r(-2). -15 Let y(x) = 156*x + 164*x + 5 - 319*x. What is y(4)? 9 Let g(p) = 7*p - 11. Let y be (-2)/(-4)*-2 + 6. Let k(m) = -3*m + 5. Let v(u) = y*k(u) + 2*g(u). What is v(-5)? 8 Let s(k) = -k**3 + 9*k**2 - 7*k - 5. Let n(o) = -o**2 - 4*o + 4. Let r be n(-2). Determine s(r). 3 Suppose 6*x = 5*q + 4*x + 15, -q + 3*x - 16 = 0. Let t(a) = a**2 + a. Let v(u) = 3*u**3 - 2*u + 1. Let w(n) = q*t(n) - v(n). Let i = 1 + 0. Give w(i). -4 Let i(m) = -m - 7. Suppose 15*a = 8*a - 42. What is i(a)? -1 Suppose -g - 2*g = 18. Let u(s) = s + 7. What is u(g)? 1 Suppose 3*g - 9 = 0, -2*b = 4*g - 0*g - 14. Let f(i) = -2 + b + i**2 - 2 - 4*i. Let s be 8/6*(-3)/2. Give f(s). 9 Let f = -6 - -2. Let a be -2 + (-6)/36 + 74/12. Let h = a + f. Let o(c) = c + 12. Give o(h). 12 Suppose 3*q - 6 = 4*o, -3*o - 3 = 5*q + 16. Let j = q - -1. Let f(g) = g**2 - 1. Determine f(j). 0 Let l(p) = -p**2 - 4*p. Let v be l(-5). Let n = -2 - v. Let q(m) be the first derivative of -m**3/3 + 3*m**2/2 + 2*m - 5. Determine q(n). 2 Let q(o) = -7*o**3 - o**2 + 7*o - 10. Let c(d) = 10*d**3 + 2*d**2 - 11*d + 15. Let g(z) = -5*c(z) - 7*q(z). Give g(-5). 15 Let l(b) be the first derivative of b**2/2 - 4*b - 1.
{ "pile_set_name": "DM Mathematics" }
-10. Suppose f + 5 = 0, -t - 5*f - 23 = -2*t. Which is the smallest value? (a) x (b) t (c) -3 a Let z be 1480/(-180) - (-1)/(18/4). Let u be 218/z - (-7 - (-124)/16). Which is the smallest value? (a) 5 (b) 0.4 (c) -1/7 (d) u d Let a = -277.2 - -277. What is the fourth biggest value in -2/5, 3, a, -10? -10 Let s = -139 - -135. Which is the second biggest value? (a) 158 (b) 0.4 (c) -0.2 (d) s b Let v = 299 + -316. Let z = -14.2 + -1.8. Let p = z - v. Which is the third smallest value? (a) p (b) -2 (c) 2/7 (d) -1 c Let f = -0.77 - 182.23. Let r = f + 264. Let s = r + -84. Which is the second biggest value? (a) 5 (b) -4 (c) 1 (d) s c Let d = 4725.5 + -4726. What is the second smallest value in 2, d, 33, 0? 0 Let s = -31.7 + 33. Let p = s - 4.8. Let n = p + 8.5. Which is the smallest value? (a) 2/9 (b) n (c) -4 c Let m = 91/142 + 295/426. What is the smallest value in -2/3, m, 0.1, 2, -5/2? -5/2 Let i = -253.2 - -253. Let y = 0.36 - 10.36. Which is the third biggest value? (a) i (b) y (c) 0 (d) 4 a Let o = -0.1 + 0.3. Let i = 2.2 + -2.1. Let d be (6/1 + 1353/(-231))/(2/14). What is the smallest value in d, i, o? i Let l = -0.1 - 0.9. Let u = -0.082 - -1.142. Let m = u + -0.76. Which is the fourth smallest value? (a) 3/4 (b) m (c) -2/11 (d) l a Let l = -0.631 + 3.634. Let w = 0.003 - l. Let u = 2.4 + w. Which is the third smallest value? (a) -0.4 (b) u (c) -3/4 (d) 3 a Suppose -2*i - 2*s + 1 = -1, 4 = 4*i + 3*s. Suppose -2*y - 1560 + 1572 = -3*m, 24 = 2*m + 4*y. What is the third smallest value in -1, m, i, -0.4? m Let m(i) = -i**2 - 209*i - 12. Let x be m(0). Which is the second smallest value? (a) x (b) 4 (c) -2/5 (d) 2/11 (e) 0.22 c Let p = -10582 - -10582.4. Which is the second biggest value? (a) -24 (b) -1/5 (c) p b Let g(f) = -f**2 - 15*f - 26. Let r be g(-13). Suppose -x + 221 - 217 = r. Which is the second smallest value? (a) 5 (b) 0.36 (c) x c Suppose 4*x - 8 = -4*r, 0 = x + 5*r + 5 + 1. Let z be ((-334)/24 + 2)*-9. Let l = -108 + z. Which is the third biggest value? (a) 5 (b) x (c) l c Let s = -2 - -3. Let q = -26.99 - -27.39. Let y = -3 + 1. Which is the second smallest value? (a) s (b) q (c) y (d) -1/4 d Suppose -p = 2*j - 5*j + 5, -p - 40 = 4*j. Let u be (1 - -1)/8*p/15. Let z = 2950/11 + -268. Which is the biggest value? (a) u (b) 1 (c) 5 (d) z c Let j = 229/3507 - -5/167. Let z = -92 + 197. Let d = 105.3 - z. Which is the second biggest value? (a) j (b) 0.4 (c) d c Suppose -94 = -2*j + 2*i, 0 = -4*j + 5*j + 2*i - 53. Let s = j + -145/3. Which is the smallest value? (a) 1/3 (b) -0.5 (c) s b Let a = -1.5123 - -0.5123. Let j = 1.5 - -4.5. What is the second smallest value in -2/3, a, j, 3? -2/3 Let j = -235 - -234.994. Let n = -0.994 + j. Which is the second smallest value? (a) n (b) 0.5 (c) 2 (d) -5 a Let v = 2.14 + -2.04. Let r be (30/(-225))/(2/(-20)). What is the biggest value in r, v, 12? 12 Let q be 2/(-5) + (-6093)/(-13520). Let k = 2/169 + q. Let r be 1/(-29) + (6 - (-8148)/812) + -20. What is the third smallest value in r, -3, k? k Let d = 15284.3 + -15285. What is the third smallest value in -1, 0.1, d, -5? d Let r = 1.996 + -3.096. Which is the biggest value? (a) r (b) -2/9 (c) 26 (d) 2 c Let m be 4/(-10)*(-45)/12. Let g = -129 + -44. Let v = g - -172.8. Which is the third smallest value? (a) m (b) v (c) -1/3 a Let a = 13 - 15. Let i be (0 + a)*(-18)/(-48)*-4. What is the third smallest value in -2/11, i, -12? i Let h be (-5)/7 - 72/252. What is the second biggest value in -0.3, h, -2, 10, -15? -0.3 Let k = 3/71 - 169/639. Let s = 48 + -51. Let z be 5 + 42/(-9) - (-13)/s. What is the second biggest value in z, -11, k? z Let g = 251.8 + -251.7. Which is the third smallest value? (a) -132 (b) g (c) -4 b Let p = 0 + -1. Let y = 47121/8 - 47117/8. Which is the second biggest value? (a) -2 (b) p (c) y (d) -36 b Let t be (-30)/(-6) + 7 + -8. Suppose -6*n + t = m - 4*n, 0 = -5*m + 3*n + 7. What is the third smallest value in -0.7, -4/7, m? m Let d = -29696 + 29691. Let z = -19/560 - 1/35. What is the third smallest value in d, -4, z? z Suppose 97 + 41 = 6*f - 52*f. Which is the biggest value? (a) -9 (b) 1/4 (c) f (d) -0.3 b Let k = 13459 + -53831/4. Which is the second smallest value? (a) 5/7 (b) -4 (c) 2 (d) 1/3 (e) k d Let d = -380 + 188. Let t = d - -192.4. What is the smallest value in 11, 0.3, t? 0.3 Let g(v) = 4*v**2 + 519*v - 2832. Let x be g(-135). Let f be ((0 + 1)/(-3))/3. Which is the biggest value? (a) -2 (b) -0.2 (c) f (d) x d Let q be (-44)/8*(-44)/4961. Which is the second smallest value? (a) 5 (b) 10 (c) q (d) -3 c Let h = -36368 - -36370. Which is the second smallest value? (a) -5/23 (b) 1 (c) 6 (d) h b Let d = 3617 + -3620. Which is the biggest value? (a) 0.73 (b) -0.4 (c) d a Let o be -1*(708 - (0 + 2)). Let a = o + 702. What is the third biggest value in 10/9, 4/5, a? a Let a = 0.01 + -3.01. Let i = 3115 + -3114.5. What is the third biggest value in a, 2/77, -4, i? a Let s = -376 + 380. Let m = 1073/332 - -3/166. Which is the second biggest value? (a) 0.4 (b) m (c) s b Let t = 0.2 + -0.3. Let y = -767 + -86. Let n = -852.7 - y. Which is the second biggest value? (a) t (b) -5 (c) n a Let g be 2*3 - 3*(-10)/(-360)*68. Which is the fourth smallest value? (a) 1/2 (b) -5 (c) g (d) 0 (e) 1.6 a Let d(p) = 2*p**2. Let b be d(4). Suppose -567*a + 562*a + 20 = 0. Let w be (a/(-16))/(-2*(-18)/b). What is the biggest value in w, -48, 0.1? 0.1 Let k = 1.558 + -1.728. What is the second biggest value in -0.5, 1, k? k Let f = -8368/7 + 8366/7. Which is the third biggest value? (a) 2/3 (b) -0.1 (c) f (d) -25 (e) -5 c Let w = 0.062 - 0.0679. Let b = 48.1941 - w. Let r = 48 - b. What is the fourth biggest value in 0.1, 2/3, r, 0? r Let v = -13913 - -14047. Which is the third biggest value? (a) -1 (b) v (c) 2/15 a Let b be (1/2)/((-9)/(-45)) - 63/30. What is the fifth biggest value in -2, b, 3, 5, 0? -2 Let k(t) = 2*t + 9. Let u be k(-6). Let l = -13/4 - u. Let x = 6/227 - -412/1589. Which is the second smallest value? (a) l (b) x (c) -15 a Let n = 112/815 + -2/489. What is the second smallest value in 4, -1, n, 0.7? n Let m = 2103 + -2103.15. Which is the third smallest value? (a) -0.02 (b) m (c) 8 c Let s = 0.34876 + 2.65124. What is the smallest value in -1, 2, s, -0.079, -2? -2 Let p = 5 - 9. Let i = -47.5 + 47. Let t = 3/52 - -239/364. Which is the third smallest value? (a) i (b) t (c) p b Let w = 5808.6 - 5809. Suppose -g - 4*l + 12 - 28 = 0, 0 = -4*l - 12. Which is the fourth biggest value? (a) g (b) 9 (c) w (d) 0.2 a Let p = 151/4 + -2273/60. Let w be 16/10 + -2 - (-4)/10. What is the third smallest value in p, 2/15, -2, w? w Let k = 1.0509 - 3.0509. Which is the biggest value? (a) -3/2 (b) -0.025 (c) 0.01 (d) k c Let s = -12714 + 444991/35. Which is the third biggest value? (a) -1.1 (b) 0.1 (c) s (d) 2 c Let u be -1*3*2 - (10 + (-3480)/220). Let p = 0.2 - 0.4. Which is the biggest value? (a) p (b) u (c) 6/7 c Let b = -130 + 128. Let u be b/((-9)/(189/24)). What is the third smallest value in 0.1, u, 0? u Suppose 122*m = 92*m + 2190. Which is the biggest value? (a) 3 (b) m (c) -1/2 (d) -5 b Let a = 0.45 + 0.05. Let d = 0.0137 + -0.2137. What is the fourth smallest value in 3, d, a, 17? 17 Suppose -41*i - 25 = -46*i. Let d be (-2 - 4)*50/(-100). Which is the second smallest value? (a) i (b) -5.7 (c) d c Let u be 0 - (0 - 6)/6*2/(-6). Suppose -4*z - 16 = -n, -4*z - z + 5*n = 20. Which is the second biggest value? (a) u (b) 3 (c) z a Let l = -365 - -172. Let h = l - -193.5. Let v = -0.1 + 0.2. Which is the third smallest value? (a) v (b) h (c) 0.2 b Let u = -0.03 - -0.12. Let r = 3029.5 + -2290. Let y = 740 - r. Which is the smallest value? (a) 5 (b) -2 (c) u (d) y b Let y = 79 - 76. Let z be ((-7)/14*y)/3. Which is the biggest value? (a) -1/6 (b) 0.5 (c) z (d) -0.03 b Let v = 1.82 + -2.09. Let g = v + -0.23. What is the second biggest value in g, 4, -27? g Let t = 12/1405 + 4191/2810. What is the biggest value in -17.7, -0.5, -2/15, t, -5? t Let v = 94.7 - 95.2. Suppose -f + 6 = 2*g, -30 = -7*g + 2*g + 5*f. Which is the second biggest value? (a) -15 (b) g
{ "pile_set_name": "DM Mathematics" }
er? 4 What is the fourth root of 6844395 to the nearest integer? 51 What is the fifth root of 689009 to the nearest integer? 15 What is 8131581 to the power of 1/3, to the nearest integer? 201 What is 1633987 to the power of 1/2, to the nearest integer? 1278 What is the eighth root of 585059 to the nearest integer? 5 What is 444173 to the power of 1/7, to the nearest integer? 6 What is the sixth root of 59285 to the nearest integer? 6 What is the cube root of 6523365 to the nearest integer? 187 What is 5614220 to the power of 1/3, to the nearest integer? 178 What is the square root of 3558755 to the nearest integer? 1886 What is 239031 to the power of 1/2, to the nearest integer? 489 What is 1428723 to the power of 1/8, to the nearest integer? 6 What is the tenth root of 7663246 to the nearest integer? 5 What is the tenth root of 1693984 to the nearest integer? 4 What is 21912933 to the power of 1/2, to the nearest integer? 4681 What is the third root of 2213251 to the nearest integer? 130 What is the eighth root of 311506 to the nearest integer? 5 What is the ninth root of 1221014 to the nearest integer? 5 What is the fifth root of 2187727 to the nearest integer? 19 What is the square root of 3281814 to the nearest integer? 1812 What is 281745 to the power of 1/4, to the nearest integer? 23 What is the fourth root of 5113980 to the nearest integer? 48 What is the square root of 20960796 to the nearest integer? 4578 What is the cube root of 280686 to the nearest integer? 65 What is the cube root of 619299 to the nearest integer? 85 What is the eighth root of 19045166 to the nearest integer? 8 What is 1206235 to the power of 1/4, to the nearest integer? 33 What is 2371989 to the power of 1/7, to the nearest integer? 8 What is the cube root of 11935994 to the nearest integer? 229 What is the tenth root of 1561024 to the nearest integer? 4 What is the fourth root of 9275206 to the nearest integer? 55 What is 1179537 to the power of 1/3, to the nearest integer? 106 What is the eighth root of 57206 to the nearest integer? 4 What is 279820 to the power of 1/6, to the nearest integer? 8 What is the seventh root of 4044628 to the nearest integer? 9 What is the cube root of 423385 to the nearest integer? 75 What is 16102162 to the power of 1/2, to the nearest integer? 4013 What is the third root of 604874 to the nearest integer? 85 What is the ninth root of 59946 to the nearest integer? 3 What is 3347864 to the power of 1/3, to the nearest integer? 150 What is the square root of 1217988 to the nearest integer? 1104 What is the sixth root of 758002 to the nearest integer? 10 What is the cube root of 2249599 to the nearest integer? 131 What is the square root of 667352 to the nearest integer? 817 What is 7845420 to the power of 1/10, to the nearest integer? 5 What is the third root of 5254671 to the nearest integer? 174 What is the cube root of 93481 to the nearest integer? 45 What is 590490 to the power of 1/5, to the nearest integer? 14 What is the cube root of 1456233 to the nearest integer? 113 What is the square root of 2488763 to the nearest integer? 1578 What is the square root of 2045496 to the nearest integer? 1430 What is 271186 to the power of 1/2, to the nearest integer? 521 What is 273421 to the power of 1/6, to the nearest integer? 8 What is the square root of 149356 to the nearest integer? 386 What is 1293944 to the power of 1/3, to the nearest integer? 109 What is 236203 to the power of 1/7, to the nearest integer? 6 What is the cube root of 633790 to the nearest integer? 86 What is 1328534 to the power of 1/10, to the nearest integer? 4 What is the sixth root of 244652 to the nearest integer? 8 What is 9792443 to the power of 1/8, to the nearest integer? 7 What is the third root of 98860 to the nearest integer? 46 What is the third root of 6578340 to the nearest integer? 187 What is 2003178 to the power of 1/3, to the nearest integer? 126 What is 12756375 to the power of 1/3, to the nearest integer? 234 What is the third root of 12510656 to the nearest integer? 232 What is 20743974 to the power of 1/6, to the nearest integer? 17 What is the fifth root of 4540588 to the nearest integer? 21 What is the cube root of 164476 to the nearest integer? 55 What is 1013177 to the power of 1/2, to the nearest integer? 1007 What is the cube root of 7519855 to the nearest integer? 196 What is the fourth root of 609602 to the nearest integer? 28 What is the square root of 31737317 to the nearest integer? 5634 What is the third root of 179322 to the nearest integer? 56 What is the cube root of 115718 to the nearest integer? 49 What is the cube root of 354884 to the nearest integer? 71 What is 3801871 to the power of 1/4, to the nearest integer? 44 What is 305398 to the power of 1/10, to the nearest integer? 4 What is the square root of 734570 to the nearest integer? 857 What is the ninth root of 2600264 to the nearest integer? 5 What is 5836886 to the power of 1/2, to the nearest integer? 2416 What is the eighth root of 3270452 to the nearest integer? 7 What is 152348 to the power of 1/3, to the nearest integer? 53 What is 1723529 to the power of 1/5, to the nearest integer? 18 What is the third root of 20741 to the nearest integer? 27 What is the third root of 2166780 to the nearest integer? 129 What is 10294688 to the power of 1/6, to the nearest integer? 15 What is the square root of 396775 to the nearest integer? 630 What is the square root of 658324 to the nearest integer? 811 What is the eighth root of 8459982 to the nearest integer? 7 What is 1896827 to the power of 1/7, to the nearest integer? 8 What is 68364 to the power of 1/3, to the nearest integer? 41 What is the cube root of 10034845 to the nearest integer? 216 What is the sixth root of 65913 to the nearest integer? 6 What is 539884 to the power of 1/6, to the nearest integer? 9 What is 267129 to the power of 1/2, to the nearest integer? 517 What is the third root of 345037 to the nearest integer? 70 What is the cube root of 156488 to the nearest integer? 54 What is the square root of 10905411 to the nearest integer? 3302 What is 173478 to the power of 1/3, to the nearest integer? 56 What is the third root of 2293146 to the nearest integer? 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240 What is the tenth root of 10395140 to the nearest integer? 5 What is 219665 to the power of 1/2, to the nearest integer? 469 What is 974183 to the power of 1/5, to the nearest integer? 16 What is 5427515 to the power of 1/2, to the nearest integer? 2330 What is the fifth root of 1348910 to the nearest integer? 17 What is 8853709 to the power of 1/3, to the nearest integer? 207 What is 90145 to the power of 1/4, to the nearest integer? 17 What is 4508184 to the power of 1/2, to the nearest integer? 2123 What is 19384798 to the power of 1/6, to the nearest integer? 16 What is 186236 to the power of 1/6, to the nearest integer? 8 What is 32478098 to the power of 1/3, to the nearest integer? 319 What is 9294761 to the power of 1/6, to the nearest integer? 15 What is 3918864 to the power of 1/9, to the nearest integer? 5 What is the cube root of 15276841 to the nearest integer? 248 What is the fifth root of 11306
{ "pile_set_name": "DM Mathematics" }
. 77400*o**2 Let w be 3/((0 + 2)*(-9)/(-24)). Suppose 4 = w*f - 4. Find the second derivative of -13*b + 15*b**2 - 16*b**2 + 19*b**f wrt b. 36 Suppose -3*d - 1 - 10 = -u, 14 = 4*u + 3*d. Suppose -4*l = 16, -u*y + l = -0*l - 89. What is the second derivative of 940 + 3*c**4 - 940 + y*c wrt c? 36*c**2 Let t be (-270)/(-8) + (-30)/40. Find the third derivative of -14 - 10*f**2 - t*f**4 - 9*f**2 + 14 + 2*f**6 - 40*f**4 wrt f. 240*f**3 - 1752*f Let a(d) be the first derivative of -d**4/4 + 1130*d**3/3 - 2377*d**2/2 + 1306. Find the second derivative of a(c) wrt c. -6*c + 2260 Differentiate 440 + 113 - 1038*o + 837*o + 1064*o wrt o. 863 What is the first derivative of 247*d - 19*d + 501*d - 481 + 339*d - 75*d wrt d? 993 Let x = -2733 + 2757. Let c(j) be the first derivative of -x - 9/2*j**4 + 0*j**2 + 17*j + 0*j**3. Find the first derivative of c(h) wrt h. -54*h**2 Let j = 82 - 79. Let x(y) be the second derivative of 31*y - 18 + 3*y**3 + 12*y**2 - 8*y**j + 18. What is the first derivative of x(w) wrt w? -30 Suppose 208*s - 211*s = -18. Find the third derivative of 434*n**2 - 74*n**s - 352*n**2 - 124*n**6 wrt n. -23760*n**3 Find the second derivative of 28 + p**3 + 201*p**2 - 143533*p - 15*p**4 + 143552*p + 15*p**4 + 2*p**5 wrt p. 40*p**3 + 6*p + 402 Let c be 1*2/6*-3*-41. Find the third derivative of -9*d**2 - 21*d**2 + d**2 + 43*d**4 + c*d**4 wrt d. 2016*d Let j(q) = 19*q + 13. Let y be j(-1). Let h(i) = 2*i**4 - 4*i**3 - 6*i + 55. Let c(x) = -x. Let l(d) = y*c(d) + h(d). Differentiate l(w) wrt w. 8*w**3 - 12*w**2 Let q(p) = 26*p**3 - 54*p**2 - 8145*p. Let z(w) = -59*w**3 + 108*w**2 + 16292*w. Let a(b) = -7*q(b) - 3*z(b). Find the second derivative of a(d) wrt d. -30*d + 108 Find the third derivative of 1561*g**4 - 10 - 931*g**4 - 782*g**4 + 114*g**2 - 2*g**3 wrt g. -3648*g - 12 Let b = -353 - -677. What is the first derivative of -3*l - l**3 + 330*l**2 + 127 - 4*l - b*l**2 + 7*l wrt l? -3*l**2 + 12*l Suppose -3*y + 189 = m - 199, y - 130 = -m. Suppose -5*w - y = -8*w. Differentiate 6*b - 6*b - 25*b**3 - w + 0*b wrt b. -75*b**2 What is the derivative of 1527*d**4 - 251*d**2 - 272 + 407*d**2 - 156*d**2 wrt d? 6108*d**3 Suppose d - 43 - 3 = 0. Let q = -42 + d. Find the third derivative of 13*k**4 + 5*k**2 + 3*k**q + k**4 wrt k. 408*k Let x = -182 + 186. What is the second derivative of 0*p**5 - 11*p + 30*p**5 - x - 64*p**5 wrt p? -680*p**3 Suppose 27 = 4*v - 3*a, v + 6 = -2*v - 3*a. Let o(f) = 23*f + 46. Let s(l) = 68*l + 140. Let u(y) = v*s(y) - 10*o(y). Differentiate u(i) wrt i. -26 Let g(o) be the first derivative of o**7/210 + 7*o**4/24 + 41*o**3/3 + 2*o**2 + 7*o - 95. Let p(u) be the second derivative of g(u). Differentiate p(z) wrt z. 4*z**3 + 7 Let w be 0 + -3 + 32 + -26. What is the third derivative of -5*o**2 - 73*o**w - 63*o + 17*o + 18*o + 19*o wrt o? -438 Let l(n) be the second derivative of 6703*n**4/12 + 13*n**3/6 - 19*n**2 + n - 2927. What is the second derivative of l(g) wrt g? 13406 Let s(g) be the first derivative of -948*g**5/5 - g**3/3 - 115*g**2 - 5*g + 2256. What is the second derivative of s(u) wrt u? -11376*u**2 - 2 Let d(i) = -2*i**3 + 11*i + 5*i**3 + 2*i - 5*i**2 - 4*i**3. Let g be d(-7). Differentiate g + 11*o**2 + 0 - o**2 + 0 wrt o. 20*o Let t(n) be the third derivative of n**7/210 + n**6/60 + 169*n**4/6 - 1631*n**3/3 - 20*n**2 + 109*n. What is the first derivative of t(y) wrt y? 4*y**3 + 6*y**2 + 676 Let a(g) = 200*g + 35. Let h = -359 - -414. Let n(d) = 5401*d + 946. Let k(q) = h*a(q) - 2*n(q). Differentiate k(c) with respect to c. 198 Let t(j) = 2*j + j + 0*j - 28*j**2 + 3*j + 497. Let a(k) = 9*k**2 - 2*k - 166. Let f(v) = -7*a(v) - 2*t(v). Find the first derivative of f(o) wrt o. -14*o + 2 Let z(m) = m**2 - m + 2. Let q(f) = -f**3 + f**2 + 1. Let r be q(0). Let t be z(r). Find the second derivative of 11*b + 15*b**3 + 275*b**2 - 275*b**t wrt b. 90*b Let d(i) be the first derivative of -332*i**3 - 1207*i**2/2 + 950. What is the second derivative of d(y) wrt y? -1992 Let b(z) be the second derivative of 11/15*z**6 - 1/2*z**3 + 8*z - 3/2*z**4 + 0*z**5 + 0*z**2 - 8. Find the third derivative of b(m) wrt m. 528*m Differentiate -2376*h**4 + 27*h**2 + 384 - 2046 + 39 - 27*h**2 with respect to h. -9504*h**3 Let f(s) = 1483*s**2 - 2*s + 2975. Let a(t) = -1490*t**2 + 3*t - 2976. Let d(u) = 2*a(u) + 3*f(u). Differentiate d(k) wrt k. 2938*k Let x(r) be the first derivative of -1449*r**6/2 + r**3/3 + 33*r**2/2 - 1829. Find the third derivative of x(k) wrt k. -260820*k**2 Let a(j) = -306*j**2 + 1906*j + 21. Let u(k) = -204*k**2 + 1270*k + 15. Let m(v) = 5*a(v) - 7*u(v). Find the second derivative of m(t) wrt t. -204 Let a(i) be the third derivative of 475*i**4/24 - 1255*i**3/6 + 590*i**2 + 1. Differentiate a(l) wrt l. 475 Let o(l) be the first derivative of -13/6*l**3 + 0*l - 23 + 25/2*l**2 - 3/8*l**4. Let q(j) be the second derivative of o(j). Differentiate q(x) wrt x. -9 Let b(i) = -327*i**2 + 44. Let m(w) = 32402 - 32416 + 4*w - 4*w + 109*w**2. Let s(o) = 4*b(o) + 11*m(o). What is the first derivative of s(l) wrt l? -218*l Suppose p = 12*p. Suppose p*h + 5*i = -h + 33, 4*h - i = 69. What is the second derivative of -18*o**2 + 20*o - 17*o**2 - h*o**2 wrt o? -106 Let m(h) = 80*h**4 + 12*h**3 - 1415*h**2 + 5. Let n(r) = 41*r**4 + 5*r**3 - 707*r**2 + 2. Let o(i) = -2*m(i) + 5*n(i). Find the third derivative of o(g) wrt g. 1080*g + 6 Let t(a) = -4*a + 8. Let v be t(-3). Let r be (8/v)/(3/(16 + -1)). What is the third derivative of -c**2 - 464 + 464 + 14*c**r + c**6 wrt c? 120*c**3 Suppose 114 - 30 = 6*m. What is the third derivative of 8*y**5 - m*y - 7*y**2 + 17*y**2 - y - 8*y**2 wrt y? 480*y**2 Let f(p) be the second derivative of -62*p**6/3 - 31*p**4/12 - p**3/2 - p**2 + 4133*p. What is the third derivative of f(s) wrt s? -14880*s What is the second derivative of 17*f + 288 - 2606*f**2 + 18*f - 51*f + 64 + 15*f wrt f? -5212 Let c = 5274 + -5269. Let n(d) be the third derivative of 0*d**c - 23*d**2 + 3/2*d**3 + 0*d**4 + 0 + 0*d - 13/120*d**6. What is the derivative of n(w) wrt w? -39*w**2 Let p = 5 + -43. Let r be 150/(-2)*p/95. Differentiate -6*z + r*z - 100 + 106 with respect to z. 24 Let p = 82 - 85. Let a be 54/21 + 1*p/(-7). Find the second derivative of 15*j + 31*j**3 + 20*j + 5*j**a wrt j. 216*j Let x(h) be the third derivative of 607*h**6/120 - h**5/20 - h**4/24 - 1189*h**3/6 - 1622*h**2 - h. Find the second derivative of x(v) wrt v. 3642*v - 6 What is the second derivative of -1262*i + 43757*i**2 - 91*i**3 + 1988*i**3 - 73*i**3 - 43759*i**2 wrt i? 10944*i - 4 Let f(g) be the first derivative of 100 - 30 + 5*g - 2*g**2 - 10*g**2 - 2*g**2 - 3*g**2. Differentiate f(a) wrt a. -34 Let p(g) = 533*g**3 + 926*g**2 + g. Let j(c) = -c**3 - c**2 + c. Let k(x) = -j(x) + p(x). Find the third derivative of k(n) wrt n. 3204 Let j(x) be the second derivative of -33*x**6/10 - 2*x**3/3 + 35*x**2 + 1196*x. Find the second derivative of j(w) wrt w. -1188*w**2 What is the derivative of 21167*s**2 - 46761*s**2 - 973 + 21784*s**2 wrt s? -7620*s Let s(o) be the third derivative of 275*o**9/84 + 197*o**5/10 + o**2 - 366. What is the third derivative of s(d) wrt d? 198000*d**3 Let c = 116 + -106. Find the second derivative of 31*p**4 + 32*p**4 - 3*p**5 + 7*p**5 - 66*p**4 - c*p wrt p. 80*p**3 - 36*p**2 Let c(h) = -h**2 + 165. Let g(a) = 7688*a**2 - a - 641. Let u(l) = 6*c(l) + g(l). Find the second derivative of u(f) wrt f. 15364 Let s(w) = -364*w**4 + 3*w**2 + 333*w. Let z(k) = -k**4 - k**2. Let q(d) = -2*s(d) - 6*z(d). What is the second derivative of q(x) wrt x? 8808*x**2 Let d(i) = 41*i - 16 - 34*i + 3 + 1. Let w be d(2). What is the second derivative of -37*y + 93*y**2 + 89*y**2 - 204*y**w wrt y? -44 Let y be (6/42 - 13/(-7)) + 24. Let w be (-39)/y*(-68)/6. What is the second derivative of -19*x + 17*x**2 - 17*x**3 - w*x**2 + 14*x wrt x? -102*x Let x(u) be the third derivative of 91*u**6/120 - 3*u**5/4 + 5*u**3/6 + 694*u**2. Find the third derivative of x(w) wrt w. 546 What is the second derivative of 3355*w**2 + 75*w + 62*w - 30 - 222*w + 40*w wrt w? 6710 Let q = -132 - -216. Suppose 3*x - 21 = -5*b + 4*b, 4*b + 3*x - q = 0. Find the first derivative of 8 + 8 - b*d**4 + 15 + 9 wrt d. -84*d**3 Let t(d) be the second derivative of -1257*d**
{ "pile_set_name": "DM Mathematics" }
*r - 2*l - 370 + 331 for r. 1 Solve -2132*r + 26 = -3*i - 2134*r, -2*i = 2*r + 22 for i. -4 Solve -15 = -6*d + 225*k - 224*k, 0 = -5*k + 15 for d. 3 Solve 3*b + 333*q + 3 = 337*q, -4*b + 5*q = 5 for b. -5 Solve -13 = 2*j - 4*n + 19, n - 5 = 0 for j. -6 Solve -5*u + 2*w = 13, 4*w = -2*u + 63 + 23 for u. 5 Solve -407 = 3*z - 4*a - 352, 7 = z + 5*a for z. -13 Solve 36 = -4*o - 81*q + 78*q, -3*o + 2 = -5*q for o. -6 Solve 13*p = 4421*a - 4426*a - 168, 42 = -2*p - 4*a for p. -11 Solve -3*a + 150*f + 19 = 149*f, -7*a - 3*f + 23 = 0 for a. 5 Solve 4*j + 5 = m, -m - 10 = -j - 12 for j. -1 Solve 2*p = 3*o + 1, -4 - 16 = 2*p + 4*o for p. -4 Solve -4*c + 15*z - 17*z + 4 = 0, 6*c - 3*z = 54 for c. 5 Solve 12 = -4*y + 2*x, 0 = 19*y - 24*y - 4*x - 41 for y. -5 Solve 3*a = -2*c - 16, -90*c + 2 = -a - 89*c for a. -4 Solve 0 = -5*q + 3*p - 43, 0 = -346*q + 343*q - 4*p + 67 for q. 1 Solve 4*z - 8*i + 6 = -7*i, -5*i = -3*z + 4 for z. -2 Solve 33 = -28*f + 25*f - 3*w, -5*w = f + 7 for f. -12 Solve 4*t + 3 = -3*s, 39 - 40 = -t + s for t. 0 Solve 0 = m + 2*b + 3, 30 = -20*m - 3*b + 7 for m. -1 Solve -2*u - 3*d + 1047 = 1051, -2*u - 7*d - 12 = 0 for u. 1 Solve -7*r - 38 = -3*g, -2*g - 34*r = -39*r - 27 for g. 1 Solve 4*k = -279*y + 274*y - 22, 2*k + 10 = -3*y for k. -8 Solve u - 53*i = -58*i + 27, -u + 55 = 12*i for u. 7 Solve 2*q - 2 = -2*v, -3*q - 42*v + 3 = -44*v for q. 1 Solve 3*y - 3*r = -36, -5*r + 91 = -2*y + 55 for y. -8 Solve -13*m = -26, 9*a + 4*m - 5*m = 5*a + 18 for a. 5 Solve -h = -2*d - 13, 191 - 211 = 10*d + 4*h for d. -4 Solve 0 = -3*b + d - 14, 16*b = 11*b - d - 26 for b. -5 Solve -2*m = -j + 12, -2465 = -2*m + 2*j - 2481 for m. -4 Solve 2*p + 9*k = -49, p = 20*k - 17*k - 2 for p. -11 Solve -329*c + 326*c = -w + 4, 4*c + 2*w = 8 for c. 0 Solve 0 = 3*s - 3*v - 12, 2*s - 298 = 4*v - 280 for s. -1 Solve -3*l - 2*m = -42, -819*l + 816*l - 4*m = -72 for l. 4 Solve -4*d - 4*g = -24, 0 = -77*d + 81*d + 23*g - 43 for d. 5 Solve 2*m - 5*k + 13 = 0, 216*m + 16*k - 51 = 213*m for m. 1 Solve 4*c + 18 = -2*r, -6*r + 4*c + 152 = 174 for r. -5 Solve 0 = -6*t - 3*x - 39, -15*t - 2*x - 29 = -12*t for t. 3 Solve 2*r = -5*s + 5, 10*r = -5*s + 45 - 40 for r. 0 Solve 2*i + 25442*d = 25445*d - 24, 3*d + 30 = -i for i. -18 Solve -i - 2*f = -10, 93*i = 90*i + 3*f - 6 for i. 2 Solve 809*r - 805*r = 0, 0 = 3*s + 3*r + 12 for s. -4 Solve -315*f + 310*f + 9*n + 79 = 0, 4*f + 4 = -4*n for f. 5 Solve 30*p - 31*p - y - 1 = 0, 0 = -2*p + y - 5 for p. -2 Solve -m + 2039*q - 2036*q - 6 = 0, 18 = -3*m - 3*q for m. -6 Solve 0 = -4*l + 4*s - 14 + 50, 0 = -4*l - 4*s - 4 for l. 4 Solve -2*z = 5*w + 52, -40*z - 48 = 5*w - 42*z for w. -10 Solve 5*r - 5*t + 20 = 0, 0 = 6141*r - 6146*r + 2*t + 4 for r. 4 Solve 11*z - 5*c - 79 + 143 = 0, 0 = -5*z + 2*c - 28 for z. -4 Solve 131 - 134 = -t + r, 3*t + 55 = -5*r for t. -5 Solve -14*u - 2*g + 5 = -11*u, -2*u + 2*g = -10 for u. 3 Solve -5*t = -3*f + 11, 72*t + 57*f - 55*f + 68 = 0 for t. -1 Solve -20 = -5*u - 2*k, -5*k + 49 = -10*u + 44 for u. 2 Solve 4*q + 19 = -6*x + 105, -21 = -4*q - x for q. 2 Solve 3*x = 4*l + 8, 0 = -4*x - l - 44616 + 44614 for x. 0 Solve d + 5*c + 18 = 0, 1144*d - 4*c = 1142*d + 34 for d. 7 Solve -2*b = 3*l - 29, 3*b = 2*l + 70 - 72 for b. 4 Solve -f = -4*m - 16, 3*m + 72 - 41 = -4*f for m. -5 Solve 5*q = 5, -2*q = -5*o - 73 + 86 for o. 3 Solve -4*x = -4*y - 4, -4*x + 2*y + 87 = 79 for x. 3 Solve 0 = 4*o + 8, 4*s - 8447*o - 10 = -8450*o for s. 4 Solve -2*h - 10 = -5*b, 3151 = b + 4*h + 3193 for b. -2 Solve 0*v = -5*v - 20, -u - 4*v = 27 for u. -11 Solve -2 = 3*d + 2*o, -1 = -5*d + 4*o - 3*o for d. 0 Solve -12 = 3*w, 4*i = -w - 52 + 20 for i. -7 Solve 0 = 2*y + 17 - 15, 10*d = -5*y - 55 for d. -5 Solve -5*w - 13 = 4*z, 54*z - 53*z + 6 = -4*w for w. -1 Solve -11 = -4*c + 537*k - 536*k, -4*c + 10 = -2*k for c. 3 Solve 59*w - 57*w - u = -2, 2*w + 31*u = 57 - 187 for w. -3 Solve 0 = -2*x - o - 5, -x - 5*o - 163 = -147 for x. -1 Solve 5*z = -2*a + 34 - 10, 2*a + 4*z = 20 for a. 2 Solve -m - 44 = -5*v, v - 24 = -40*m + 41*m for v. 5 Solve -3*d = 2*h - 2 + 37, -3*d - 65 = -4*h for d. -15 Solve -1359*k + 3 = -1358*k + 12*c - 17*c, -4*k + 5*c - 3 = 0 for k. -2 Solve -5*a = -5*g, -14*g - 60 + 102 = -4*a + 62 for g. -2 Solve 0 = -5*y - 2*a - 16, -221*y - 13 = -219*y + 3*a for y. -2 Solve -2*v + 14 = 4*h, 5*v = -2*h + 8*v + 11 for h. 4 Solve 3*i - c - 22 = 0, -2*i - 156*c = -150*c + 32 for i. 5 Solve t - 5*f = -24, 3*f + f - 19 = t for t. 1 Solve u - 1031*a + 1036*a - 42 = 0, -2*a + 95 = 5*u for u. 17 Solve 102*g = 100*g - 3*v - 26, -10*g + 3*v - 58 = 0 for g. -7 Solve j + 10608*k = 10609*k - 4, -2*j - 2*k + 4 = 0 for j. -1 Solve u - 45 = 5*i, 11*u = 2*i - 46*u + 18 for i. -9 Solve 2167*l = 2159*l + 2*s + 22, -3*s - 7 = l for l. 2 Solve 0 = 19*w - 17*w - r + 9, w + r = 0 for w. -3 Solve -148*f + 18 = 2*k - 150*f, 27 = 3*k - 5*f for k. 9 Solve 0 = 2*k + k + 6, 3*k - 15 = 12*x - 19*x for x. 3 Solve -20 - 10 = -5*s + 2*f, -40 = -5*s + 4*f for s. 4 Solve 9*t - 5*q + 5 = 0, t + 256 = q + 259 for t. -5 Solve c + 2*c + 68 = -g, 12*c - 21 = 13*c for g. -5 Solve 4*k + 2*b - 12 = 0, -k - 21735 = -9*b - 21776 for k. 5 Solve -3*q - 755 = -j - 730, 5*q + 41 = 2*j for j. -2 Solve 2*l + 5 = -v, 4*l - 25 = 16*v - 11*v for v. -5 Solve -91 = 5*r + 19*d, 5*d + 32 = -12*r + 8*r for r. -3 Solve 4*g = -5*d - 6, 0 = -23*g + 22*g - 3*d + 2 for g. -4 Solve 5*m + 3*c = -103, 197 = -29*m - 19*c + 17*c for m. -5 Solve -5*q = 0, -5*z - 8 - 12 = -4*q - 5 - 0 for z. -3 Solve -2*j - 36 = 3*g, -40*g + 4 = -41*g for j. -12 Solve -5*l + 239*f = 234*f + 10, 0 = -4*l - 36*f + 112 for l. 1 Solve 7*m + 64 = -4*q, -5*m + 7 = -8*q + 5*q for m. -4 Solve 2*i - 7*i = -x - 7, -4*i + 3*x - 1 = 0 for i. 2 Solve 2029*w = 2024*w + 3*n - 32, 2*w + 2*n = 0 for w. -4 Solve 9046 = -2*o + 3*p + 9035, -15 = 3*o - 4*p for o. -1 Solve 2*l - 111 = 4*i - 95, 2*i - 4 = -5*l for l. 2 Solve 145*i = -2*r + 144*i - 19, -4*r = i + 29 for r. -5 Solve -5*y - 15 = 0, -2*w + 2*y = 6*w - 3*w - 5*y - 21 for w. 0 Solve -19 = -3*l + 4*r, -1370*r + 1366*r = 4*l - 44 for l. 9 Solve 5*u + 632*f - 635*f = 37, 0 = -4*f - 16 for u. 5 Solve -21*n + 76 = -4*r, 33*r + 31*r = 68*r - 8 for n. 4 Solve -3051*o + 38 = -3*y - 3047*o, 2*y + 17 = o for y. -6 Solve 2*x - 263 = 4*p - 257, 4*p + 12 = 4*x for x. 3 Solve 2*p + 608 - 656 = 2*k, 0 = 2*p + 4*k - 36 for p. 22 Solve -4*t + 5*p + 5 = 23, -20*p + 25 = -t + 58 for t. -7 Solve 4*r - 8*r + 2*p = -22, -5*r + 5*p = -45 for r. 2 Solve 2*r - 4 = -1020*y + 1022*y, 0 = -2*y + 5*r + 5 for y. -5 Solve 8*f = -2*l - 70, 117*f - 3*l - 15 = 119*f for f. -9 Solve -r - 79*n - 75*n = -153*n - 5, -2*n + 10 = -2*r for r. 0 Solve -5*m = 85, 3*n + 260*m - 100 = 265*m for n. 5 Solve 3*x = -2443*q + 2445*q + 27, 4*q + 40 = 4*x for q. -3 Solve 0 = -4*k + 3*r + 80, -5*k - 2*r - 88 = -50 for k. 2 Solve -f = -2*b - 1, 3*b + 12*f = 17*f + 30 for b. -5 Solve 0 = 3*g - 2*a - 21, -5*g + 26*a = 21*a - 30 for g. 9 Solve -3*h = 5*y - 63, 5*h - 8116*y = -8113*y - 65 for h. -4 Solve 4*h + 30 - 24 = -2*b, -3*h - 3*b = 9 for h. 0 Solve -f = -669*h + 671*h + 12, 2*f = 3*h + 32 for f. 4 Solve -2*v + 5*i - 75 = 0, 3*i - 34 = -v + 11 for v. 0 Solve 5*k = -11*h + 8, 9*k + h - 937 = -979 for k. -5 Solve 3*j = -3*p, 229*j = 227*j + 5*p + 28 for j. 4 Solve 2*f - 4*d + 187 = 229, -2*f = -2*d - 26 for f. 5 Solve y = -3*l - 18, -5*l + 5*y + 2387 = 2397 for l. -5 Solve -31 + 6 = -5*w + 2*o, -18295*o = -18296*o - 5 for w. 3 Solve 3*k - 4*m + 4 = 0, 4708 = -5*k + 2*m + 4706 for k. 0 Solve -62*t + 66*t + 4 = 0, 0 = 5*d - 5*t - 10 for d. 1 Solve 0 = -2*s + 3*a - 9, -14 = 3*s - 92*a + 87*a for s. -3 Solve -63 = 4*o - 11*i, -5 = 12863*o - 12858*o + i for o. -2 Solve 21*m + c = 17*m - 26, c + 30 = -5*m for m. -4 Solve -i + 2 = 2*q, 15*q - 3*i + 15 = 12*q for q. -1 Solve 3*h = 5*k - 11, 538*h = 536*h - 3*k - 20 for h. -7 Solve -3*k + 3*a = -3, 64*a = k + 65*a + 1 for k. 0 Solve -7*n + 2 = -3*f, 2 = -n - 2*f - 5 for n. -1 Solve -2*p - 18 = -4*c, 9*c - 22*c + 12 = -4*p - 11*c for p. -1 Solve -5*q - 3*p + 35 - 37 = 0, 0 = -5*q + 5*p - 10 for q. -1 Solve -11*m + 16 = -13*m - 3*z, -33*z - 132 = 0 for m. -2 Solve 5*w + 3*l - 6*l = -2*l + 4, 0 = -4*w - 3*l + 7 for w. 1 Solve -44 = -3*n - k, -699*k = 2*n - 698*k - 31 for n. 13 Solv
{ "pile_set_name": "DM Mathematics" }
+ -2. 0 What is the value of 1 + 0 - (-5 - -2)? 4 Evaluate (7 - (-7 - -14)) + -1 - 3. -4 What is the value of (0 - -2 - 4) + (-47 - -53)? 4 Evaluate (-3 - 9) + 3 + 1. -8 What is the value of 4 + (-5 + -5 - -4)? -2 -8 + (25 - 6 - 3) 8 What is the value of (1 - -7) + (-5 - 4)? -1 What is the value of -2 + (-4 - -1 - (1 - 11))? 5 -3 - (-3 + 3 + (-3 - -5)) -5 What is the value of 2 - ((3 - 2) + 3)? -2 What is the value of 1 + 1 + -2 + (1 - 0)? 1 What is the value of 1 - (2 - 3) - 6? -4 What is the value of 3 + -3 + 4 + 1? 5 Evaluate 5 + 1 + -5 - (0 - -2). -1 Evaluate -1 + 5 + -6 + 3 + -5. -4 What is the value of 0 - (-1 + (0 + -1 - 3))? 5 Evaluate (-1 - -2 - 0) + -2 + 1. 0 What is -16 + 26 + 2 + -6? 6 3 + -2 + (20 - 26) -5 -1 - 8 - (-18 + 15) - -4 -2 Calculate -4 - -4 - -2 - 0. 2 2 + (4 - 1) + (-5 - 5) -5 (0 - -1 - (2 - 3)) + -4 -2 What is the value of 7 + -9 + 1 + 0? -1 What is the value of -6 + 7 + -11 + 6? -4 Evaluate (3 - 2) + 2 + -7 + 0. -4 Evaluate (12 - 0) + -3 + -2 + -1. 6 -5 - (-5 + 0 + (5 - 10)) 5 What is -3 + -6 + (1 - -4)? -4 What is the value of 0 + (-3 - 0) + 4? 1 What is (6 - 4) + 3 + 0? 5 Evaluate 3 + (1 - -3 - (-1 - -8)). 0 What is the value of -4 - (3 + -12 + (0 - -2))? 3 Evaluate -4 - (5 + 0 + -5). -4 What is 0 + 0 + 15 + (4 - 14)? 5 1 - (2 + 0 + -11 + 8) 2 What is 5 + (-6 - (3 - 7)) - -5? 8 What is 11 + (3 - 4) + -3? 7 What is the value of 3 - (-1 + 0 + 5 + -6)? 5 What is -2 - -1 - (11 + (-7 - 4))? -1 5 + 0 + -12 + 5 -2 Evaluate 1 - 1 - (0 - 12 - -17). -5 What is the value of -1 + -2 - (-1 - 2)? 0 Calculate 35 - 33 - (0 - -4). -2 Calculate (5 - 3) + (-8 + 5 - -3). 2 Calculate -5 - (-3 - (5 - 4)). -1 What is the value of -5 + (1 - 3 - -2)? -5 What is the value of 8 - (1 + -5 + (8 - -1))? 3 Evaluate 1 + -1 - -7 - (-4 + 6). 5 What is -2 + -3 + 6 - (3 + -7)? 5 Evaluate (-5 + 7 - (10 + 0)) + 3. -5 Calculate 2 + 11 + -8 + -7. -2 Calculate 3 - 5 - (-5 + 1). 2 Calculate -1 + 3 + (13 + -13 - -6). 8 What is the value of 0 - (6 - (0 - (1 - 6)))? -1 Calculate 9 + (-3 - 7 - -4) + 0. 3 What is the value of -1 + (2 - 2) - -1? 0 Calculate (-2 - -3 - 0) + -1 + -3. -3 Evaluate 22 - 28 - (-7 + 1). 0 Calculate (-1 - 1 - (-22 - -28)) + 6. -2 Calculate -1 + -10 + 2 + 14. 5 Evaluate 0 + 5 + 129 + -139. -5 What is (8 - 8) + -6 + 10? 4 Evaluate 1 + 1 + 1 + 0. 3 What is -6 + 11 - (1 - 0)? 4 Calculate -2 + 1 + (39 - 35) + -4. -1 What is -5 + 3 + -1 + 4? 1 What is (-3 - 0) + 7 + -5? -1 Calculate -11 - (-5 + 1 - (-23 - -24)). -6 -10 + (1 - (-1 - 3)) -5 What is -2 + 1 + 14 + -17? -4 What is the value of (-6 - 0 - -13) + (-1 - 2)? 4 What is the value of -5 + (7 + 5 - 2)? 5 What is the value of 0 + -2 + (8 - 11)? -5 Calculate 0 + (2 - -15) + -13. 4 -2 + -7 + 3 - -3 - -1 -2 What is -12 + 13 + (-1 - 2)? -2 Evaluate (0 - 0) + (-4 - -3). -1 36 + -34 + 2 + 1 + -2 3 What is (3 - 6 - -2 - 2) + 0? -3 Evaluate 3 + (-1 - (14 - 4)). -8 Calculate -9 + 5 + (-3 - 0) + 5. -2 What is the value of 2 + 1 + 2 + -3? 2 What is (-6 - -3) + 7 - 5? -1 Calculate 1 - ((-3 - (2 + 3)) + 4). 5 What is -4 - (-9 + 3) - 9? -7 What is the value of -4 - (2 + 2 + -11)? 3 Calculate 7 - -2 - (44 - 37). 2 4 + (7 - 13) - (-1 - -7) -8 Calculate 0 + 5 - -1 - 1. 5 Evaluate 0 + -6 - -3 - -1. -2 Evaluate -4 - (-2 + (4 - 0) + -2). -4 Calculate (-5 - (-7 + -4)) + -4. 2 What is the value of (0 - (3 + 0)) + -8 - -6? -5 (1 - -5) + (12 - 10) + -5 3 What is the value of -5 + (9 - (-1 + 1))? 4 What is -3 + 1 + (-2 - -1)? -3 What is the value of 1 + (-3 + 3 - -2)? 3 1 + -9 + -5 + 10 -3 Evaluate (1 - (-4 + 5)) + 0. 0 What is 2 - (-1 + 6) - (39 + -40)? -2 What is 4 + -10 + (9 - 10)? -7 Evaluate -14 - ((-20 - -14) + 2). -10 What is the value of -5 + 3 + (4 - (-2 - -4))? 0 What is -1 + (-3 - (-4 + 0)) + 2? 2 Calculate (0 - 4) + (-34 + 24 - -15). 1 What is the value of -3 - -3 - (7 + -5) - -7? 5 Calculate -5 + (0 - ((-6 - -4) + -1)). -2 What is the value of 12 + (4 + 1 - (6 - -5))? 6 What is 4 - (-2 - (-6 - -4 - 3))? 1 What is 0 + 0 - -1 - (-37 - -38)? 0 -6 + 1 + 8 + 1 + -5 -1 What is the value of -3 + 0 - (-7 + 0)? 4 -2 + -2 - (0 + -4) 0 (1 - 1) + 18 + -17 1 Calculate -8 + -1 - ((-2 - 0) + -2). -5 Evaluate 10 + -14 + 12 + (-1 - 2). 5 Evaluate (11 + -25 - -14) + -1. -1 Calculate -1 + -2 + (-9 - -6) - -3. -3 15 + -14 + (-6 - -11) 6 5 - ((7 - 0) + (3 - 10)) 5 Evaluate 7 + (-10 - 2) + 13. 8 What is the value of (4 - -1 - 1) + (0 - 4)? 0 Calculate (3 - (-2 + -1 - 0)) + -2. 4 Calculate -1 + (8 - 0) + -4. 3 3 + (-7 - -5) + 0 + 1 2 What is the value of 5 + -13 + 0 + 11? 3 Calculate (-5 + 4 - -5 - 1) + -1. 2 What is the value of 5 - 0 - (34 - 24)? -5 What is (1 - -3) + -1 - -2? 5 -7 + (-9 - -4) + 16 4 What is the value of -48 - -44 - (-3 + -1)? 0 -1 + (-4 - (-8 - -8)) -5 What is -21 + 22 - (1 - -3)? -3 (3 - -2 - 4 - 4) + 4 1 What is the value of 4 + -8 - (-4 - 0) - -1? 1 What is the value of 1 + (1 - 3) + 2? 1 What is the value of 11 + (-11 - -17 - 6)? 11 Calculate 2 + (-2 - -1 - 0). 1 Evaluate 0 + (0 - -3) + -6. -3 2 + (2 - 0) + 1 + -6 -1 Calculate -2 + -3 + 5 + -1. -1 Calculate -6 + 8 - 0 - 6 - 3. -7 What is -2 + 8 + 49 + -53? 2 What is -4 + (6 - 1 - -8) - 7? 2 4 + -5 - 2 - (0 + -3) 0 Calculate -8 + 7 + (0 - -3). 2 What is the value of (1 - -1 - -1) + -2 + 0? 1 -3 + (0 - 3) + (5 - 4) -5 What is -3 + (4 - (10 - 8))? -1 Evaluate -2 + 3 + 0 + 3 + -8. -4 What is the value of 28 + -19 - (3 - 0) - 3? 3 Calculate 7 + -4 - (5 + 1). -3 12 - 0 - 7 - 3 2 What is the value of 3 - (22 - 11 - (1 + 1))? -6 -4 + (9 - 9) - -8 4 Calculate -1 - 4 - (-9 + 5). -1 Calculate -29 + 28 + (-4 - (-1 + 0)). -4 What is 5 + (-3 + 4 - (-4 - -3))? 7 -4 + (0 - -6 - (6 - 2)) -2 1 - (-1 - ((2 - -2) + -7)) -1 (9 - 2) + -17 - -7 -3 Evaluate 6 - (4 + -10 - -1 - -4). 7 8 + -2 - (2 + -2 - -8) -2 (1 - 3) + 2 + (3 - 2) 1 Calculate (-1 - -10) + -75 + 70 + 3. 7 Evaluate -1 + (-1 - (-1 + 1)). -2 6 + (2 - 8) + 2 + 1 3 Evaluate -3 + -1 + 0 + (15 - 6). 5 Evaluate 0 + 4 + -1 + 9 + -6. 6 Evaluate -1 + -2 + -1 - -6. 2 Calculate (-8 - -7) + 11 + -4 + -1. 5 Evaluate -12 + (-4 - -4) - (4 - 11). -5 What is -12 - (7 + (2 - 19) - -3)? -5 Calculate -3 + (0 - -2) + (6 - 4). 1 What is the value of 2 + 3 - (0 - (4 + -6))? 3 What is -4 + 0 + 3 + 2 - 2? -1 Evaluate -1 + (1 - 0 - 0). 0 -14 - -16 - 10 - (-4 - 0) -4 Evaluate 1 + (-3 + 0 - 2) + -2. -6 Evaluate -1 - (-2 + 6 + -15). 10 What is the value of 13 + -12 + -1 + -5 - -7? 2 Calculate -5 + (10 - 1) - 5 - -3. 2 Evaluate (9 - 8) + -7 + 1. -5 Calculate (5 - 1 - (1 - 0)) + 1. 4 Calculate 2 - 0 - (-4 + 5 + 4). -3 Calculate -3 + (9 - (-1 - -4)). 3 What is the value of (-7 - -9) + (6 - (-5 + 10))? 3 What is the value of -16 - -11 - (-7 + -1)? 3 What is the value of 1 + (9 - 4) + 1 + -4? 3 Evaluate 1 + -8 + (6 - (3 + 0)). -4 Evaluate (8 - (14 - 15)) + -4. 5 What is -4 - (-4 + 6 + -4 - 1)? -1 What is the value of -1 - (2 - 6 - -2) - 4? -3 Evaluate -5 + -1 + 2 + 0. -4 What is the value of 2 + 1 - (-11 - (-16 - -1))? -1 -6 - (0 - (-6 + 2)) - -5 -5 7 + (-11 - -9) + -7 -2 What is the value of -4 + 8 + (-6 - (-2 + -5))? 5 -1 - (-6 - -2) - (-1 + 4) 0 Calculate -5 - 4 - (5 - 18). 4 What is the value of 1 + -1 + 8 + (0 - 4)? 4 What is the value of -7 - ((-9 - -4) + -2)? 0 What is the value of (-3 - (6 - 3)) + 7 + -9? -8 18 - 3 - 9 - (0 + 2) 4 What is 9 + (-1 - (0 + 7))? 1 Evaluate -1 + (10 - 1) + -1 + -3. 4 Evaluate -20 + 23 + 2 + -1. 4 Calculate 5 + 1 + 1 + 13 + -16. 4 What is the value of 5 + -3 + (-3 - -4)? 3 Evaluate 9 + 0 - (13 + -8 + -1). 5 -3 + 5 + -3 + (2 - 0) 1 (-1 - 0 - -7 - 1) + 1 6 What is 5 - (6 + -9 + 8)? 0 What is the value of 0 + (-3 - -2) + 5? 4 Calculate 8 - (5 - (11 + -18)). -4 Evaluate 9 + 3 + (1 - 17). -4 (4 + -7 - -3) + -2 -2 What is the value of 2 - (-12 - -5 - -5)? 4 Evaluate 1 - (2 + 1) - (1 - 1). -2 Calculate -15 - -14 - (-8 + 1). 6 (8 - 5) + -3 + -5 -5 2 - -1 - (36 + -34) 1 0 - (-5 - (3 + -9)) -1 What is the value of -3 - -1 - (-13 - -10)? 1 What is the value of 3 + -6 + 5 + -3? -1 11 + (2 - 2 - 8) 3 (-2 + 8 + -3 - -1) + -5 -1 Calculate (0 - -3) + -8 - -7. 2 Evaluate 17 + -4 - (-17 - -24). 6 -5 + (8 - (0 - -1)) 2 Evaluate -2 + (-4 - -8) + 1 + -2. 1 What is the value of 2 + 7 - (0 + 8 + -4)? 5 What is -2 + 2 + 7 - 3? 4 (9 - 6) + (-2 - 7) + -2 -8 -6 + 0 + (12 - 16) + 18 8 What is (-3 - (-3 + 1)) + (2 - 1)? 0 7 + -10 +
{ "pile_set_name": "DM Mathematics" }
. Let i be v(-4). Let n be (-279)/i + (-8)/(-2). What is the closest to 0 in n, 1, -0.05? -0.05 Suppose 3*p + 31 = -2*v, -42 = 4*p + 5*v - 3. Let t be 3 - ((-22)/(-8))/1. What is the nearest to t in p, 1/6, -3/4? 1/6 Let t = 40.3 - 37. Let u = t + 0.7. Let y = u + -3.9. What is the nearest to 0 in -0.5, y, 5? y Let y = 4 + 0. Let n(x) = x. Let f be n(-2). Which is the closest to -2? (a) f (b) -2/7 (c) y a Let v(u) = -u**3 + 4*u**2 - 3*u + 1. Let p be v(2). Let f = -2749 - -2749. Let t = -1 - -1.5. Which is the nearest to -3? (a) f (b) p (c) t a Let l(j) = j. Let s be l(9). Suppose 4*q + 3 = 19, s = -x + 3*q. Let t = x - 8. Which is the closest to -2/11? (a) 4 (b) -4 (c) t b Let c = -8167/3 + 2722. Let x = 69 + -65.05. Let v = x - -0.05. What is the closest to -1 in v, -4, c? c Let j = 25/7 + -121/28. What is the closest to 0 in j, 4/5, 0.4? 0.4 Let j = -3.1 + 3.1. Let r(t) = -t**3 + 3*t**2 - 2. Let x be r(2). Suppose x*v - 2 = 2. What is the nearest to j in 0, v, 0.1? 0 Let r be 1/7*8 + (-27)/27. Which is the closest to 1? (a) -2/17 (b) 0 (c) 3 (d) r d Let m = -1886 + 1886.5. Which is the closest to -2? (a) -0.5 (b) m (c) 9 a Let i = 2 - 2.1. Let a(n) be the first derivative of -n**2/2 - 11*n - 6. Let u be a(-6). What is the closest to i in u, -1, -0.4? -0.4 Let l = -0.09 - 0.01. Which is the nearest to -2? (a) l (b) 5 (c) 2/9 a Let h = 4/11 + 10/33. Let x = -0.4 - 1.6. What is the closest to x in -0.5, h, 5? -0.5 Suppose 142*w - 390 = 64*w. Which is the nearest to -11? (a) -2/11 (b) w (c) 0.4 (d) -11 d Let y be 2/(-8) - 1431/36. Let i be ((-24)/y)/((-1)/(-5)). Let w be (-4)/(-84) + (-1)/i. What is the nearest to w in -5, 4, 0.1? 0.1 Let j be 2/3 - (-14)/(-66). Let l = -4/33 + j. Which is the closest to -1? (a) -5/6 (b) l (c) -3/4 a Let f = -3517762/11649 - 214/1059. Let h = f + 302. Which is the closest to 0.2? (a) 4/3 (b) -5 (c) h c Let r = 23.6 - 23.5. What is the nearest to -0.1 in r, -3, 1/7, -0.2? -0.2 Let m = 28 + -3. Let y be 10/m*2/2. Let z = 3 + -6. Which is the nearest to 2? (a) -2 (b) z (c) y c Let q be (-10)/55 - 53/11. Let v = 3.9 - 4. What is the nearest to -2/7 in v, q, 0.4? v Let f be 8/(-36) - 636/54. Let h be ((-10)/(-150))/(2/f). What is the closest to 0.3 in h, -1/3, 3? -1/3 Let r be (-13)/(-117) + (-8)/18. Which is the nearest to 1? (a) r (b) -0.1 (c) -0.02 (d) -2 c Let x be 66/35 + 10/(-35). What is the nearest to 2/3 in x, 2, 1/2? 1/2 Let x = -0.78 + 2.78. Let y(a) = a + 13. Let n be y(-9). Suppose -n*f = -2*f. What is the nearest to f in -4, x, 1? 1 Let c = 3 - 2.92. Let r = 4.92 + c. Let y = -2.8 - 1.2. What is the closest to 1/6 in -5, r, y? y Let a = 69 + -67. Let f = -186 + 185.9. What is the nearest to -0.1 in f, a, 3? f Let v be 24/126*2/(12/7). What is the nearest to 1 in -6, 2, v? v Suppose 0*a + 2*a - 8 = 0, 4*r - 5*a + 36 = 0. What is the nearest to r in 10, 1/4, 0.3? 1/4 Let h = 2.4 - 2. Let d be 1 - (58 + 4) - 3. Let a be ((-24)/d)/((-3)/(-2)). What is the nearest to 1 in h, a, 2? h Let j = 36.3 + -45.5. Let o = -5 - -14. Let t = j + o. What is the closest to -0.1 in 2, -4, t? t Let r = 12.5 + -12.8. What is the closest to 0.2 in 0.3, -0.07, r? 0.3 Let v be ((-12)/(-44))/((-6)/(-4)). Let c = -0.087 + -0.213. What is the nearest to v in -4, -1, c? c Let l = -0.006 - 38.994. Let y = 39 + l. What is the nearest to -2 in 0.4, y, 2/3? y Let n = 75/52 - -3/52. Suppose 10*d = -24 + 44. Which is the closest to n? (a) d (b) 1/4 (c) -2 a Let p = 8.156 + -10. Let f = 0.156 - p. Let y(g) = g + 3. Let l be y(-4). What is the nearest to 1 in f, 0.5, l? 0.5 Let f = 66.4 + -67.4. Which is the nearest to -0.1? (a) 5 (b) f (c) 19 (d) 1/4 d Let d = 0.3 + 3.7. Suppose 0 = -39*v + 59*v. What is the closest to v in d, -1/12, -0.3? -1/12 Let o = -109/428 - -1/214. Let t = 0.3 - 0.1. Let u = t + -0.7. What is the nearest to -0.1 in 0.2, u, o? o Let d be (-25)/25 + 8/14. Suppose -3 = 3*k - 0*k. What is the nearest to k in 2/5, d, 2? d Let v = 0.3 + -0.1. Let l be (-7)/(-28)*(-56)/(-2). Suppose -g = l*g. What is the closest to v in g, 1/4, 1? 1/4 Let h = 57 + -99. Let o = h - -41.91. What is the nearest to 0 in -0.3, o, -1/6? o Let u = 624 - 625. Suppose p - 2*p = 0. Which is the nearest to p? (a) u (b) 0.8 (c) 4/3 b Let s = 158 - 153. Let o = -1.8 - -1.9. Which is the closest to 1? (a) 2 (b) o (c) s b Suppose -z - 261 = -263. Let k = 2 - 2.1. Which is the nearest to 0? (a) 0.03 (b) k (c) z a Let z(x) = -2*x**3 - 3*x**2 - 7*x - 5. Let o be z(-1). Which is the closest to 2? (a) 2/3 (b) -2 (c) 2/9 (d) o d Let d = -217.8 - -218. Which is the nearest to -2/5? (a) 0 (b) 21.2 (c) d a Suppose -60 = -17*u - 43. What is the closest to u in 0.1, -0.4, 4? 0.1 Let r = -127.7 + 126.7. What is the nearest to -3/5 in 3/7, 2, r? r Let h = 700 + -700.1. Which is the nearest to 1? (a) -3/5 (b) h (c) -2 (d) 5 b Let p = -11 + 10.65. Let j = -0.05 + p. Let v = 5.5 - 5.7. What is the nearest to 2 in v, 0.2, j? 0.2 Let m = -1565.5 - -1565. Suppose 2*t - 21 = -3*f - 2*f, -5*t - 4*f + 27 = 0. Which is the closest to m? (a) t (b) 5 (c) -2 c Let o(x) = -x**2 - 1. Let l be o(0). Let z = -4.533 + -0.467. Which is the closest to l? (a) -0.5 (b) -4/5 (c) z b Let k = 1762 - 1760. Let z be ((-1)/5)/(8/(-10)). What is the closest to z in -5, -1/6, k? -1/6 Suppose -2 = -p + 2. Let c = -726 - -726. What is the closest to c in p, -0.01, 3/8? -0.01 Suppose 0 = -6*i + 5*i + 3. Let j be 14 + (35/15 - (-2)/i). What is the closest to -0.1 in 2, j, 3? 2 Suppose -23*d = -7*d + 32. What is the nearest to 2/5 in d, -2/9, 1/5, -6? 1/5 Let p = -14.01 + 14.03. Which is the closest to 1? (a) p (b) 3 (c) 2/13 c Suppose -117*l + 112*l + 30 = 0. What is the closest to 2/7 in -0.5, l, -5? -0.5 Let l(d) be the third derivative of d**4/12 + 5*d**3/2 - 29*d**2. Let h be l(-6). Which is the closest to -0.1? (a) h (b) 0.4 (c) -4/3 b Suppose 4*l - 2*g - 18 = 0, -2*l - 3*g - 25 = -7*l. Let o = -7 + 10. Let f be 1/o + -2 + 1. What is the nearest to 1 in f, l, -4? l Let n be 69/6*6 + 0. Let k = n + -342/5. Which is the nearest to -5/2? (a) -3 (b) k (c) -1 a Let m = -965/21 - -137/3. Which is the closest to -1? (a) -2/11 (b) m (c) -1 c Suppose 0*b - b = 4*i - 23, -2*i + 19 = 3*b. Let u be (180/32 - 3) + -2. Let w = -0.3 - -0.2. What is the closest to w in u, i, 4? u Let a = 2645 + -18517/7. What is the closest to -0.2 in -3, a, 0, -109/2? a Let g = -4 - -2. Let p = -1 - g. Let k = -14/113 - 156/565. What is the nearest to k in 3, p, -0.5? -0.5 Let h be (-3 + 6 + -2)*-1. Which is the nearest to 1? (a) -3/4 (b) h (c) -0.2 c Let x be (-2)/12*24/(-38). Which is the closest to -1/4? (a) x (b) 158 (c) -1 (d) 1 a Let g = 4.9 + -4.8. Let s = 7 - 10. Let v = s + 8. Which is the nearest to -2/5? (a) g (b) v (c) -2 a Let l(w) = -w**3 + 7*w**2 - 4*w + 25. Let x be l(7). What is the closest to -0.1 in 1/5, -1, x, -0.3? -0.3 Suppose 30*m = 34*m - 48. Let h = m - 73/6. Which is the nearest to -1? (a) h (b) -3 (c) 2/13 a Let j = 32.74 + -33. Let w = -1.34 + j. Let q = 2.2 + w. What is the closest to -1/3 in q, 0, 3? 0 Let k = 0.03 - 0.53. Let r = -0.527 + -2.473. What is the closest to 2/5 in k, r, -5/2? k Let u = -26 + 15. Let l = u - -35. Let g = l - 23.5. Which is the closest to 1/2? (a) g (b) 1/3 (c) -1 a Let n = -47 + 33. Let g = n + 14. What is the nearest to -1/4 in 1, -3/4, g? g Let b be (-12)/(-32)*(-2)/(-3). Let i = -160 + 157.04. Let w = i + -0.04. What is the closest to 1 in b, -3/5, w? b Let r be (-2)/(-60) - ((-11)/6)/11. What is the closest to r in 0.1, -2/7, 4? 0.1 Let h = 1/48 - 107/528. Which is the closest to 0.3? (a) 0 (b) -1/15 (c) h a Let w = -0.23 - 0.77. What is the nearest to -0.1 in 0.3, 48, w? 0.3 Let w = -0.27 - -0.83. Let h = 0.06 - w. Let p be 4 + 4/(-2) - 1. Which is the nearest to 1? (a) h (b) p (c) 0.3 b Let v = 0.39 + 0.01. Let p = 22 + -21.65. Let r = p - 0.05. Which is the closest to -1? (a) r (b) v (c) 1 a Let s = 5 + -8. Let u = -9211/4 + 2304. What is the nearest to 1 in 1/14, u, s? u Let s = -759 + 822. What is the nearest to 1/2 in 5, s, 0, -1? 0 Let g(x) = 2*x - 11. Let f be g(4). What is the nearest to -1 in 2, f, 4? f Let t = 3 - 4. Let g = -1.1 - t. Let x =
{ "pile_set_name": "DM Mathematics" }
lify ((f**2*f)/(f*f**(-11)))**(-6/25) assuming f is positive. f**(-78/25) Simplify ((w*w*w**(-1)/w*w)/w)**23/(w**(-7)*w**(-7/4)) assuming w is positive. w**(35/4) Simplify k*k**(-1/5)*k**(2/17)*k*k**(-3)/k*k*k*k**(6/5)/k*k*k assuming k is positive. k**(36/17) Simplify ((d*d/d**(-1/3))**(-4))**48 assuming d is positive. d**(-448) Simplify a**8*((a/a**(-6))/a*a)/a*a**(-3)/a*a*(a/a**(2/3))/a assuming a is positive. a**(31/3) Simplify (y**(-1)/y)/y**(1/21) assuming y is positive. y**(-43/21) Simplify (((v/v**(-8/3))/v)/(v**(9/5)/v*v))**(13/6) assuming v is positive. v**(169/90) Simplify ((((v/(v*v**(-3/4)))/v)/v)/v)/(v*v**(-10)) assuming v is positive. v**(27/4) Simplify (z**(1/3))**(-41)*((z/(z*z**(-1/2)*z))/z)/(z/(z*z**(-5)/z)) assuming z is positive. z**(-127/6) Simplify (o*o/o**20)**34 assuming o is positive. o**(-612) Simplify (x*x**9*x/x**(-3/11))**48 assuming x is positive. x**(5952/11) Simplify (y*(y/(y**(3/7)*y))/y)**(2/77) assuming y is positive. y**(-6/539) Simplify (z/((z/(z*z**(2/3)))/z))/(z/(z**(2/9)/z))*(z**2*z)/(z/z**6) assuming z is positive. z**(80/9) Simplify (x*x*x/(x/(x/(x**(-25)*x))))/(x**(-5)*x) assuming x is positive. x**31 Simplify (((a/((a*a*a**(-15)*a)/a))/a)/a**(-14))**(3/7) assuming a is positive. a**(81/7) Simplify ((j/((j/((((j**1/j)/j)/j)/j))/j))**8)**(-42) assuming j is positive. j**672 Simplify (q**1)**(3/17)/((q*(q**(-7)*q)/q)/q*q*q*q/(q*q**(-7))) assuming q is positive. q**(-31/17) Simplify ((t**(-6/7)*t)/t)**(15/2) assuming t is positive. t**(-45/7) Simplify (j**0/j*j)**(-9/7)*(j*j/(j**0/j*j*j))/j**6 assuming j is positive. j**(-5) Simplify c**(6/19)/c**(-3) assuming c is positive. c**(63/19) Simplify (t**(-2/3))**(-5)*((t*t**(-1))/t*t)/(t/(t/((t/(t**2/t*t))/t))) assuming t is positive. t**(16/3) Simplify ((o/o**(-1/4))/o)**(1/79)/(o**1/o*o**(-2)) assuming o is positive. o**(633/316) Simplify ((y**9/y)/((y**3/y)/y))**(-12/11) assuming y is positive. y**(-84/11) Simplify (m/(m/(m*(m/m**(1/12)*m)/m*m)))/(m*m/((m/(m/m**(-22))*m)/m)) assuming m is positive. m**(-253/12) Simplify (q/(q/q**(-1/13))*q)**(-4/21) assuming q is positive. q**(-16/91) Simplify (i**0/i*i)**(-1/29)*i**(-4)/((i*i/i**3)/i) assuming i is positive. i**(-2) Simplify (((g/((g**(-2/31)*g)/g*g)*g)/g)/g)/(g*g*g**(7/3)*g*g) assuming g is positive. g**(-676/93) Simplify (p/p**(-1/23))**(-35) assuming p is positive. p**(-840/23) Simplify a**(12/11)/a*a**(-13/5) assuming a is positive. a**(-138/55) Simplify ((c*(c*c**2)/c)/c*c**3/c)/((c*c**(-7/2)*c)/((c*c*c*c**1*c)/c)) assuming c is positive. c**(19/2) Simplify u**(-4/7)*u**(-3/5)/u*(u**(-1))**(2/49) assuming u is positive. u**(-542/245) Simplify (w/w**(-1)*w)**(2/11)/(w**(-1/2)/w)**(-4/3) assuming w is positive. w**(-16/11) Simplify ((j/(j*j*j**(-1/15)/j*j*j*j*j*j))/j)**(4/7) assuming j is positive. j**(-356/105) Simplify (z/((z*z**(-6))/z))/z**(-7/3)*(z*z/z**2*z)**(-42) assuming z is positive. z**(-98/3) Simplify (q*q/(q/(((q/((q/q**(2/15))/q))/q)/q))*q/((q/(q*q**(-3/10))*q)/q))**(-28) assuming q is positive. q**(-70/3) Simplify (x*x*x*x*x*x/(x/(x*x**2*x))*x*x)**(2/37) assuming x is positive. x**(22/37) Simplify (q*q**(2/105))/(q/(q*q**(-20))) assuming q is positive. q**(-1993/105) Simplify (u/((u*u/(u/u**(1/3)))/u*u)*(u/u**(4/3))/u)/(u/((u**(-1)/u)/u*u))**(18/7) assuming u is positive. u**(-197/21) Simplify (x/(x/x**(-5)))/x**(6/17) assuming x is positive. x**(-91/17) Simplify (f**0)**(11/5)/(f**(-2/3))**(-9) assuming f is positive. f**(-6) Simplify (l**(-6)/(l*l**(1/2)*l))/(((l**(6/7)*l)/l*l)/(l*l**(-5))) assuming l is positive. l**(-201/14) Simplify (q**(-25))**(3/7) assuming q is positive. q**(-75/7) Simplify c**(3/7)*c*(c/(c/(c*((c**(5/8)*c)/c)/c)*c))/c assuming c is positive. c**(3/56) Simplify (h**1)**(1/89)*h/(h/(h*h/h**(-2/3)*h))*(h**(-1/6)*h)/h assuming h is positive. h**(625/178) Simplify a*a**(-22/9)*a**(-15) assuming a is positive. a**(-148/9) Simplify (l**(-3)*(l*l**(-5)*l)/l)/((l**(2/9)/l)/l**2) assuming l is positive. l**(-38/9) Simplify (r**(1/3)/(r/(r/r**3)))/((r*(r**(-1)/r*r)/r*r)/r)**(-20) assuming r is positive. r**(-68/3) Simplify (m/m**(-1/10))/m**3*((m*m**(1/4)*m)/m*m*m)**(-15) assuming m is positive. m**(-1013/20) Simplify (s*s*s**(-1/2))**2 assuming s is positive. s**3 Simplify (((n*n/(n/(n**(-2)*n)))/n*n)/n)**(3/10)*(n/n**2)**(26/7) assuming n is positive. n**(-281/70) Simplify (n*n**(-4)*n*n*n)**(-17) assuming n is positive. 1 Simplify s**6*s**(2/7)*(s*s*s**(-2/5)*s)**(-1/34) assuming s is positive. s**(7389/1190) Simplify (g/(g/g**(6/13)))**(-1/36) assuming g is positive. g**(-1/78) Simplify (b**(-2))**(-1/2)/(b*(b/(b*b**(1/2)*b))/b*b*b**10*b) assuming b is positive. b**(-19/2) Simplify ((u*((u/u**(-1))/u)/u)/u)**(-2) assuming u is positive. 1 Simplify v/(v*(v**(-24/5)/v)/v*v)*v*v**8*v*v assuming v is positive. v**(84/5) Simplify (g/g**(-24))/g**(-36) assuming g is positive. g**61 Simplify v**(-1/12)*v/(v*v**(-48)*v) assuming v is positive. v**(563/12) Simplify (((((r*r**(-1/10)/r*r*r)/r)/r)/r)/r)/r**(2/7) assuming r is positive. r**(-167/70) Simplify (v*v**(-10/17)*v)/(v*v**(-2/11)*v*v) assuming v is positive. v**(-263/187) Simplify f**23*f*f*f*f*f**(-3/8)*f assuming f is positive. f**(221/8) Simplify (r/(r/r**(-21)))/(r**(3/7)/r) assuming r is positive. r**(-143/7) Simplify ((s**(-1))**42)**22 assuming s is positive. s**(-924) Simplify ((u**(3/5)*u)/(u/(u*u**(-2/7)/u*u)*u))/(u*u**(-2/7)*u*u*u**(1/5)) assuming u is positive. u**(-13/5) Simplify (c**(-3/5)/c)/c**5*c/((c/(c/((c*c**3)/c)))/c)*c**(-5) assuming c is positive. c**(-63/5) Simplify z*z**(-2/11)*z*(z/z**7)/z*z*z**(-4/3)/(z**(-5/2)/z) assuming z is positive. z**(-133/66) Simplify k**(-1/3)/(k/(k/((k**(-1/3)*k)/k)))*(k**(1/3)/k)**34 assuming k is positive. k**(-68/3) Simplify d**(-3)*d**(-5/4)*d*(d/d**9)/(d/(d**(-8)*d)) assuming d is positive. d**(-77/4) Simplify j**17*j**(-31)/j assuming j is positive. j**(-15) Simplify d*d**(-1/14)*d**(-7)/d*d*d*d/d**(-3)*d**(-1/7) assuming d is positive. d**(-17/14) Simplify ((u**1)**(27/5))**(-2/25) assuming u is positive. u**(-54/125) Simplify (l**10)**(6/7) assuming l is positive. l**(60/7) Simplify (k**(-1/10)*k)/(k*k*k**(2/7)*k) assuming k is positive. k**(-167/70) Simplify ((q/(q**(-2/19)/q))/((q/(q**5*q))/q*q*q))**8 assuming q is positive. q**(928/19) Simplify (i/i**2)**22*(i**0/i)/i*i**11 assuming i is positive. i**(-13) Simplify (v**(6/7)/v)**(1/6) assuming v is positive. v**(-1/42) Simplify d**(1/2)*d**(-4) assuming d is positive. d**(-7/2) Simplify i/i**(-1/13)*i**(5/2) assuming i is positive. i**(93/26) Simplify m**(-1/4)*m**(-13) assuming m is positive. m**(-53/4) Simplify (i*i/((i*i**(1/2))/i))/i*i*((i*(i**8*i)/i*i)/i)/i*(i**(-5)/i*i*i)/(i*(i*i**(-2/15)*i)/i) assuming i is positive. i**(109/30) Simplify (o**(-1))**(-7/11) assuming o is positive. o**(7/11) Simplify (j**0)**42*(j/(j/j**2))/(j/(j**7*j)) assuming j is positive. j**9 Simplify (g*g**(-1)*g)**(-48) assuming g is positive. g**(-48) Simplify (((t*t*t/t**(1/3))/t)/(t/(t*t**(-7))))/(t**1*t)**(4/25) assuming t is positive. t**(-424/75) Simplify (v**1/(v/(v*v**(-4/5)/v)))**(25/3) assuming v is positive. v**(-20/3) Simplify (c/c**16)/(c*c**(-1/25)) assuming c is positive. c**(-399/25) Simplify ((n*n**(-3/5)*n*n*n)/n*n**4)**22 assuming n is positive. n**(704/5) Simplify ((d**(-5)*d)/(((d/(d/(d*d/(d**(-1/14)*d))*d)*d)/d)/d*d))**(26/9) assuming d is positive. d**(-247/21) Simplify ((x/(x*x**(-6)/x))/x)/x*x**(-11) assuming x is positive. x**(-6) Simplify (q**(3/5)*q/(q**(-2/29)/q))**(11/2) assuming q is positive. q**(4257/290) Simplify ((j/(((j/(j*j*j/(j*j**(-2))))/j)/j*j))/j*j/j**6)/(j**(2/7))**(2/29) assuming j is positive. j**(-207/203) Simplify (b**(2/3))**(2/61)*(b/b**1)**(-13) assuming b is positive. b**(4/183) Simplify (k**2*k**(-5/6))/(k**(3/8)*k**(1/8)) assuming k is positive. k**(2/3) Simplify (p/(p/(p*p**(-8/7))))/(p*p**16) assuming p is positive. p**(-120/7) Simplify (q**(1/9)*q)**(-7) assuming q is positive. q**(-70/9) Simplify (y**(-11)/y)/y**(2/15) assuming y is positive. y**(-182/15) Simplify w**(-10)/w**(-2)*(w**2)**(-7) assuming w is positive. w**(-22) Simplify ((p/p**(1/5))/((p*p**(-2/3)*p)/p))/(p/((p*p*(p*p**(-2)*p)/p*p*p)/p)*p*p/(p*p*p*p**(-5))) assuming p is positive. p**(-38/15) Simplify b*
{ "pile_set_name": "DM Mathematics" }
lify (sqrt(76)/(3*sqrt(4)) - (sqrt(19)*1 + 4))**2*-6. -440/3 - 32*sqrt(19) Simplify -3 + (1*sqrt(208) + (sqrt(13) - 2*sqrt(13))*-6)**2 + 2. 1299 Simplify (sqrt(190)/(4*sqrt(40)) + -1 + sqrt(95)/((sqrt(5) - (sqrt(5) - sqrt(5)*2)) + sqrt(5)))*-5. -55*sqrt(19)/24 + 5 Simplify (((sqrt(171) - sqrt(171)*2 - sqrt(171))*-3)/sqrt(9))**2 - ((2*sqrt(133))/sqrt(7) + (sqrt(76)/sqrt(4)*-1)**2). -2*sqrt(19) + 665 Simplify (-5 + (2 + sqrt(704) + -1 + sqrt(704) + sqrt(704) - sqrt(704)) + -5)**2*6. -1728*sqrt(11) + 17382 Simplify (sqrt(198)/((sqrt(9) + sqrt(144))*-1))/(-3*(sqrt(11) + sqrt(88)/(sqrt(56)/sqrt(7)))). sqrt(2)/30 Simplify (3*(((sqrt(65) + sqrt(65)*2)*4)/sqrt(5) - (sqrt(832) + -3*sqrt(832) + sqrt(832))/sqrt(4)))**2. 29952 Simplify -5*((sqrt(11) - (sqrt(77) - sqrt(77)*5)/sqrt(7) - sqrt(11))**2 - (-1 + 6*sqrt(11)))*-6. -180*sqrt(11) + 5310 Simplify -2 + (sqrt(252) + (6*sqrt(252)*-2)**2 - (-1 + sqrt(252) + 1 - sqrt(252))**2). 6*sqrt(7) + 36286 Simplify (-2*(sqrt(190) + 6*(sqrt(190) + (sqrt(190) - sqrt(190)*2))))/(sqrt(90)/sqrt(144) + (sqrt(10)*-2*3 - sqrt(10))). 8*sqrt(19)/27 Simplify 5 + (-2 + sqrt(175) + (sqrt(112)/sqrt(4))/sqrt(4) - (sqrt(28)*-4 - sqrt(56)/sqrt(2))**2). -697 + 6*sqrt(7) Simplify (4*sqrt(336) + sqrt(21) - (sqrt(84)/sqrt(2))/sqrt(2))/((sqrt(7) + sqrt(112)*-4)*4). -4*sqrt(3)/15 Simplify (sqrt(17) + -3)*-5*3 - sqrt(119)/(sqrt(560)/sqrt(5)). -61*sqrt(17)/4 + 45 Simplify 4 + ((1*sqrt(1440))/sqrt(2) - (1 + ((sqrt(40)/sqrt(4))/sqrt(2) - sqrt(5)))**2). 3 + 12*sqrt(5) Simplify (2*sqrt(2448)*-4 - (0 + 2*sqrt(2448))) + 2 + (sqrt(2448) + -3*(sqrt(2448) + (sqrt(2448) - (-1 + sqrt(2448))) + sqrt(2448)))**2. 240*sqrt(17) + 61211 Simplify 1 + (-1 + (sqrt(147) + -4*(sqrt(147) + -1) - sqrt(147)) + 5)*-6. -47 + 168*sqrt(3) Simplify 6*((sqrt(117) + (5*sqrt(117) + sqrt(117))*6)/(sqrt(99)/(-3*sqrt(11))))**2. 961038 Simplify (-5 + 3 + sqrt(539))**2 - (-1*sqrt(1584) + 2)**2. -1045 + 20*sqrt(11) Simplify (0 + -2*(-4 + (sqrt(931) - (sqrt(931) + 1 + 0))))**2. 100 Simplify 1*((-3 + (1 + sqrt(1900) + 1 - sqrt(1900)))**2 + -3). -2 Simplify 5 + (sqrt(72)/(sqrt(4) + sqrt(100)))/(sqrt(6) - ((sqrt(378)/sqrt(7))/sqrt(9) - sqrt(6))). sqrt(3)/6 + 5 Simplify -1 + (-4*sqrt(70)*-5)/((sqrt(110)*-1)/sqrt(11)). -20*sqrt(7) - 1 Simplify (1*sqrt(102)*-5 + sqrt(102))/(sqrt(60)/sqrt(90)) + 3. -12*sqrt(17) + 3 Simplify -5 + -5 + (sqrt(1377) + (sqrt(1377) - sqrt(1377)*1)**2 + -5 - (sqrt(1377) + 2*sqrt(1377))*4) + 5. -99*sqrt(17) - 10 Simplify (3*((sqrt(45) - sqrt(450)/sqrt(10)) + sqrt(45))*2)/((sqrt(81)/sqrt(3)*3)/sqrt(3)). 2*sqrt(5) Simplify 4 + sqrt(2880)*-1 + 3. -24*sqrt(5) + 7 Simplify 6*(2 + 5 + sqrt(304) + sqrt(304) + -1 + -2)**2. 384*sqrt(19) + 7392 Simplify -3*(-2 + (sqrt(275) + 0)**2) - (-5 + (sqrt(99) + 2*sqrt(99) - sqrt(99)) + -3 + sqrt(99))**2. -1774 + 144*sqrt(11) Simplify (sqrt(270)/(1*sqrt(9)) + (sqrt(3630) - sqrt(3630)*-1))/((sqrt(150) + (sqrt(150) - sqrt(150)*-1))*5). 23*sqrt(5)/75 Simplify ((sqrt(2176) + 4*sqrt(2176))*-6)/(sqrt(2)*-2*2 + sqrt(10)/sqrt(20)). 480*sqrt(17)/7 Simplify 5 + (6*(sqrt(98) + -3 + sqrt(98)) - 3*(sqrt(98) - (3 + sqrt(98))))**2 + 3. -1512*sqrt(2) + 14201 Simplify sqrt(272)*1 + 3 + 1*(sqrt(68) + 0). 3 + 6*sqrt(17) Simplify -4 + (-3*(0 + sqrt(99))*6)**2. 32072 Simplify 0 + -1*sqrt(1539) + (-4*(sqrt(1539) + 0) - sqrt(1539))**2 + 2. -9*sqrt(19) + 38477 Simplify -2*-2*(sqrt(50))**2 + (sqrt(14) + sqrt(14) + sqrt(1400)*-1 + sqrt(14))/sqrt(7). -7*sqrt(2) + 200 Simplify (sqrt(3840)*-1*-5)/(sqrt(12)*1*-6*-4). 5*sqrt(5)/3 Simplify ((sqrt(242) - 2*-1*sqrt(242) - -2*(-1*sqrt(242) - sqrt(242)))*5)**2. 6050 Simplify ((-2*(sqrt(84)*1 - sqrt(84)))/(sqrt(1200)*-1) + 1 + 4)**2. 25 Simplify (sqrt(1408)*1)/(sqrt(20)/sqrt(10)*-3). -8*sqrt(11)/3 Simplify (sqrt(55) + 5*sqrt(4455))/(-2*sqrt(500) + sqrt(500)). -23*sqrt(11)/5 Simplify (-2*sqrt(3000) + sqrt(3000) - (sqrt(4320) + (sqrt(4320) - -1*sqrt(4320) - sqrt(4320))))/(sqrt(10) + -4*sqrt(40) - (-1*sqrt(1210) + sqrt(10))). -34*sqrt(3)/3 Simplify (5 + (-3 + -5*sqrt(567)*2 - -2*1*-2*sqrt(567)))**2. -504*sqrt(7) + 111136 Simplify (6*(sqrt(17) + (2*sqrt(85))/sqrt(5))*-6 - (1 + -1*(sqrt(1700) + 1)))**2. 163268 Simplify (sqrt(51)/(sqrt(3) - sqrt(48)) + -2 + -3 - 5*((-1*sqrt(2057) + sqrt(2057) - sqrt(2057)) + -2 + sqrt(2057)))**2. -10*sqrt(17)/3 + 242/9 Simplify -2*(sqrt(1100) - (-3*(0 + sqrt(1100)))**2) + -2 + (-2*sqrt(1100) - sqrt(1100))**2 + -2. -20*sqrt(11) + 29696 Simplify 3 + sqrt(243) + ((sqrt(243)*-3 + sqrt(243))*-5)**2 + sqrt(243) + 3. 18*sqrt(3) + 24306 Simplify (-6*sqrt(450)/sqrt(10))/(sqrt(18)/(sqrt(14)/sqrt(7) + sqrt(2))). -12*sqrt(5) Simplify (2*(sqrt(4131) - (sqrt(4131) + 1*sqrt(4131) + sqrt(4131))))/((sqrt(9)/(sqrt(3)*-1) - sqrt(3) - sqrt(3))*3). 4*sqrt(17) Simplify ((sqrt(14) + 1*(sqrt(14) + sqrt(14)*-2))/(sqrt(56)/sqrt(32) + sqrt(7)) + -1 + 5)**2. 16 Simplify 4 + 4 + -5 + (4*sqrt(272))**2 + 0 + sqrt(272). 4*sqrt(17) + 4355 Simplify -3*5*(sqrt(15)/sqrt(5) + 5) + -5. -80 - 15*sqrt(3) Simplify (3 + sqrt(833) + 0)**2 + (sqrt(68)/sqrt(18))/sqrt(2). 127*sqrt(17)/3 + 842 Simplify -5 + -4 + (sqrt(832) - ((sqrt(832) - (sqrt(832) + -1)) + 4) - sqrt(832))**2. 16 Simplify -4*(sqrt(5) + -1 + 1) + (sqrt(5) - ((2*sqrt(20))/sqrt(4) - sqrt(5)) - (sqrt(500) + 1)). -14*sqrt(5) - 1 Simplify ((sqrt(108)*-5*-6 - (-5 + sqrt(108))*4) + 0)**2. 6240*sqrt(3) + 73408 Simplify (1*sqrt(1900) + -3 + (-5 + sqrt(1900)*-4 - sqrt(1900)))**2. 640*sqrt(19) + 30464 Simplify (sqrt(30)/(sqrt(54) - sqrt(324)/sqrt(6) - sqrt(54)) + (-3 + sqrt(15)/sqrt(3) - sqrt(20)/sqrt(4)*2))**2. 8*sqrt(5) + 161/9 Simplify ((sqrt(117) + (sqrt(117) - (sqrt(117) + ((sqrt(117) - -2*sqrt(117)) + sqrt(117))*6)))*5)/(sqrt(72)/(sqrt(16)/sqrt(2)) - -3*-2*sqrt(9)). 23*sqrt(13) Simplify (3 + ((-2*sqrt(130) + sqrt(130))*-4*2)/(5*sqrt(40)/(sqrt(4)*1)))**2. 48*sqrt(13)/5 + 1057/25 Simplify (1 + -2 + sqrt(80) + 2 + (sqrt(80)*2*4)**2)*-6. -30726 - 24*sqrt(5) Simplify -4 + (((sqrt(1323) + -1*sqrt(1323))*-6 + sqrt(1323))/(sqrt(324)*-2*-3))**2. -1679/432 Simplify 2 + ((-1*-1*sqrt(187) - sqrt(187))/(sqrt(704)*-4) + -4)**2. 18 Simplify (1*(2*(sqrt(81) - sqrt(81)*-1)/sqrt(3))/((1*(sqrt(81) + (sqrt(81) - (sqrt(81) - sqrt(81)*2)) - sqrt(81)))/sqrt(9)))**2. 12 Simplify 1 + -1*(sqrt(77)/sqrt(7) + sqrt(11) - sqrt(11)) + (-2 + -2*sqrt(11))**2. 7*sqrt(11) + 49 Simplify (sqrt(600) + -2*sqrt(600) + (-2*sqrt(600) - sqrt(600)))/(sqrt(128) - ((sqrt(128)*-1 + sqrt(128))*4 - sqrt(128))). -5*sqrt(3)/2 Simplify 5 + (sqrt(65)/(sqrt(10)/sqrt(2)) - (sqrt(13) + sqrt(117)*3)**2)*-6. -6*sqrt(13) + 7805 Simplify (-2*(1*(sqrt(320) - (1 + sqrt(320))) + sqrt(320)) + 3)**2 + 4. -160*sqrt(5) + 1309 Simplify sqrt(15)/sqrt(5)*1*2 + 2*(sqrt(3) + -1 + sqrt(27)). -2 + 10*sqrt(3) Simplify 5*(2*sqrt(96) - sqrt(96))/sqrt(2) + sqrt(384)/(sqrt(24)/sqrt(3)*5). 104*sqrt(3)/5 Simplify (3*((sqrt(216) + 1*sqrt(216))/sqrt(12) - (-1 + sqrt(18) + -2)))**2. 162*sqrt(2) + 243 Simplify sqrt(75) - sqrt(75)*-1*-4 - (((sqrt(63)/sqrt(3))/sqrt(7))**2 + (sqrt(90)/sqrt(3))/sqrt(10) + sqrt(3)). -17*sqrt(3) - 3 Simplify 3*((sqrt(360)*-3 - sqrt(360))/sqrt(12))/(-4*sqrt(294)). 3*sqrt(5)/7 Simplify -1*(2*sqrt(22)*-3)/((sqrt(2) - sqrt(18))*-1). 3*sqrt(11) Simplify 4 + -1 + sqrt(175)*-1 + -3. -5*sqrt(7) Simplify (-1*sqrt(136)/sqrt(4)*-2)/(5*-1*sqrt(10)/sqrt(5)). -2*sqrt(17)/5 Simplify (-1*sqrt(1458))/(sqrt(90)/(sqrt(30)/sqrt(3))) + 1 + 6*(0 + sqrt(200))**2. -9*sqrt(2) + 1201 Simplify (sqrt(891) + 4*2*sqrt(891) + sqrt(891) + 1*sqrt(891) + 5 + (sqrt(891) + sqrt(891) + 0)*-5*-2)**2. 2790*sqrt(11) + 856276 Simplify 2 + (5*sqrt(600))/(sqrt(144)/sqrt(8)). 2 + 50*sqrt(3)/3 Simplify 3*(sqrt(75) - (-1 + sqrt(75)))*5*1 + -4. 11 Simplify (((sqrt(315) - sqrt(315)*-1) + sqrt(315))*-3)/(-4*sqrt(245)*1). 27*sqrt(7)/28 Simplify 1*4*3*(sqrt(520) + -1*sqrt(520) - sqrt(520))/sqrt(10). -24*sqrt(13) Simplify ((sqrt(128) + 2 + sqrt(128) + 1)*6*-4)**2. 55296*sqrt(2) + 300096 Simplify (sqrt(4) - (sqrt(4) - ((sqrt(324) - sqrt(324)*3) + sqrt(324))))/(sqrt(18)/(sqrt(9)*-1)). 9*sqrt(2) Simplify (sqrt(44) - (sqrt(220)*-3 + sqrt(220))/sqrt(5))/sqrt(4) - (4 + 2*sqrt(11)*4). -5*sqrt(11) - 4 Simplify ((-3*sqrt(468)/sqrt(12))/(sqrt(18)/(sqrt(6) + sqrt(150))))**2. 4212 Simplify ((sqrt(325) - -2*sqrt(325)) + sqrt(13) + (sqrt(13) + sqrt(13) + (2*sqrt(65)/sqrt(5) - sqrt(13)))**2
{ "pile_set_name": "DM Mathematics" }
n - m - 1, -n + 4*w = 0. Solve n = -0*s + s for s. 4 Let g = 49 - 15. Let m = g + -21. Solve 1 - m = -3*j for j. 4 Let a(q) = -q + 7. Let i be a(7). Solve 0 = -g - 2 - i for g. -2 Suppose 2*k - 6 = 2. Suppose 3*m - k*m = -12. Solve 7*h = 4*h + m for h. 4 Let c(k) = -k + 1. Suppose -2*f - 2*f - 4 = 0. Let u be c(f). Solve 2*g = -u*g + 4 for g. 1 Suppose -o + 6 = 2*o. Suppose k = -0 - 2. Let a be (1 + k)/(1/(-3)). Solve -o = -a*p - 8 for p. -2 Let o be 1 - 4/(4/(-3)). Let i(r) = r**3 - 3*r**2 - 3*r + 1. Let c be i(o). Suppose -c*v + 13 = -22. Solve -2 = g - v for g. 5 Let j(z) = -z**3 - 10*z**2 - 10*z - 10. Let i be j(-9). Let k = i - -5. Suppose 0*q + k*l + 4 = q, -5*l = 4*q + 5. Solve -g - g + 2 = q for g. 1 Let t = -13 + 17. Solve 0*k = t*k + 16 for k. -4 Suppose -m = 1 - 4. Suppose -4 = 2*l + w, l + 3 = m*w + 15. Solve l = h - 2 + 1 for h. 1 Suppose 0 = 2*b + b - 21. Solve -13 = -4*q + b for q. 5 Let f be (-58)/(-15) - 12/(-90). Solve -2*p + f = -0 for p. 2 Let f = 7 + 5. Solve -3*u - f = u for u. -3 Suppose -6*y - 42 = -13*y. Solve -4 = 5*w - y*w for w. 4 Let c be (-2 + 1/1)*-4. Let q be (-20)/50 + (-104)/(-10). Let o(w) = w**3 - 11*w**2 + 11*w + 1. Let t be o(q). Solve c*j - t = -3 for j. 2 Let p(d) = -3*d - 5. Let v(a) = -2*a - 3. Let b(z) = -3*p(z) + 5*v(z). Let s be b(2). Let h = s + 2. Solve c + h*c = -3 for c. -3 Let b = -7 + 11. Suppose 13 = -k - 5*c, -3 + b = -k + c. Let d = 4 + k. Solve q = 2*q + d for q. -1 Let a(k) = 14*k**3 + 38*k**2 - 11*k - 7. Let m(z) = -5*z**3 - 13*z**2 + 4*z + 2. Let p(h) = -4*a(h) - 11*m(h). Let l be p(-9). Solve x - l = -x for x. 3 Suppose 5*h - 112 = 3*x, 3*h + 4*x - 24 = 20. Let b be 0/(-2)*(0 - (-12)/(-36)). Solve b = -3*s - s + h for s. 5 Let n(x) = 2 + 8*x + 4 - 3*x + x**2. Let v be n(-5). Solve 3*i = v*i for i. 0 Let z be 15 - (-1 - -1)/(-1). Suppose 2*x - 5*p + z = 0, -2*x + x + 3*p = 9. Let m be 1/(-2)*(13 + -21). Solve x*f + 16 = m*f for f. 4 Suppose 1 = 2*v + f, 4*v = 5*f + 19 + 4. Solve -4*x - v = 14 for x. -4 Suppose 3*z - 2 = -n, 4*z - 2*n = 2*n - 8. Solve z + 4 = l for l. 4 Let f(z) = -z - 9. Let s be f(-7). Let a be 4/s + 4 + -2. Let d be (0 + 1)*(5 + -5). Solve d = 2*t - a + 8 for t. -4 Suppose -11*z - 15 + 59 = 0. Solve -3*u = -u - z for u. 2 Let x(j) = -j**3 + 5. Let r be x(0). Suppose -4*n - 4 = 2*s, n = -r*s - 4*n - 5. Suppose -3*o + 40 = 5*p + 2*o, 3*o + 60 = 4*p. Solve p = -3*f - s*f for f. -4 Let r be 236/16 - (-1)/4. Suppose 3*n + 2*c = -3*c + 32, -4*c + 16 = 0. Suppose 0 = n*b + b - r. Solve 5 = b*y - 7 for y. 4 Suppose -8*p + 3*p = 5*h - 35, 0 = 5*p - 5*h - 15. Suppose p*x - 6 - 4 = 0. Let n(a) = a - 2. Let c be n(3). Solve c + x = -3*o for o. -1 Let i = 191 - 189. Let w(g) = 4. Let l(z) = -z - 4. Let t(a) = -2*l(a) - 3*w(a). Let d be t(3). Solve -d*k + i = -k for k. 2 Let p = -11 + 16. Let z(i) = i**2 - 3*i - 5. Let n be z(5). Solve -5 - p = n*j for j. -2 Let o be 3/18 + 62/(-12). Let v = 7 + o. Solve -3 = -v*h + 5 for h. 4 Suppose -4*l - 4 = -12. Suppose -3*b = l*b - 25. Solve 0 = 4*i - b*i for i. 0 Let h = -15 + 15. Solve -c + h = -2 for c. 2 Suppose -2*f + 5*a + 49 = f, 4*f + 4*a - 12 = 0. Solve 3*b = f*b - 10 for b. 2 Let w be (3/(-2))/((-2)/8). Suppose 9 = 3*f, -o - 2*f - 12 = -w*f. Suppose o*n - 16 = -2*n. Solve -j - j = -n for j. 4 Let k(j) = j**2 + 3*j - 2. Suppose 2 = -q - 1. Let i be k(q). Let m be (-4)/5*5/i. Solve 0 = y - 0 - m for y. 2 Let w be (-26)/(-273) + (-6)/63. Solve 4*v = -w - 8 for v. -2 Suppose 0*y + 4*y = 8. Solve -y*m = -7*m - 25 for m. -5 Let f(z) = 4*z + 13. Let h(x) = 6*x + 20. Let y = 3 + -8. Let w(j) = y*h(j) + 7*f(j). Let m be w(-6). Solve 8 = m*v + v for v. 2 Let s(b) = -2*b - b**2 + b - 3 - 6*b + 0*b**2. Let k be s(-6). Solve -k*n + 9 + 3 = 0 for n. 4 Suppose 3*c = 8 + 10. Let j be (-3)/(-2)*8/c. Let b be 5 + (-11)/(66/12). Solve b = -d + j for d. -1 Let z be (-8)/24 + 2/6 + 3. Solve n - z*n + 8 = 0 for n. 4 Let w = -33 - -37. Solve -w = z - 2 for z. -2 Suppose 0 = -3*v - 0*v + 15. Let p = 0 + 4. Suppose 0*j - 64 = -p*j. Solve i - v*i = j for i. -4 Suppose -5*d + 3 + 7 = 0, 4*d = 2*s + 8. Let v = 1 + 0. Let t(n) = 6*n - 1. Let r be t(v). Solve -2*w + r*w = s for w. 0 Suppose 3*q = 6*q. Let f be (q - 1) + (1 - -2). Let a = 4 + -3. Solve -1 = f*m + a for m. -1 Let i be 1 + -3 + 6 + -3. Suppose -5*m = -0*m + 4*x - 20, 3*x - i = -2*m. Solve -4*r = -2*r - m for r. 4 Let u be (2/(-5))/(2/20). Let n = 1 + -5. Let g = n - u. Solve 4*k + 5 + 11 = g for k. -4 Let a(p) = p - 1. Let u be a(1). Suppose -4 = -2*c - u*c. Let x = 16 + -8. Solve x = c*h + 2 for h. 3 Suppose -c + 2*c + 4 = 2*v, 4*v = -2*c + 8. Let z be v - (1 - 2 - -2). Let t be (-22 + z)/(-3) - 1. Solve -w - 2*w = -t for w. 2 Suppose -h + 7 = -w - 4*w, 4*h + 5*w = -72. Let y = 15 + h. Solve -y + 0 = -o for o. 2 Let p(r) = -r**2 + 2*r - 2. Let y be p(2). Let t be 2/(-8)*y*8. Solve 2*i - 6*i = -t for i. 1 Suppose 2*w - 11 = 3*w - 2*b, -2*w - 2*b = 4. Let f = -5 - w. Let r(v) = -v - 4. Let q be r(-4). Solve f = 5*g - q*g - 5 for g. 1 Let b(n) = n + 2. Let m be b(0). Suppose -7*p + 100 = -m*p. Suppose 3*k - 65 = -p. Solve -4*a + k = -7*a for a. -5 Let k(m) = m**2 - 2*m - 2. Let z be k(4). Suppose 7*i + z = 4*i. Let s = 0 - i. Solve 1 = s*u - u for u. 1 Let x(i) = i**2 + 3*i. Let l be x(-3). Let h(n) = -2*n - 8. Let v be h(-14). Suppose c = -3*c + v. Solve 3*a + c + 7 = l for a. -4 Suppose -4 = -4*f - 4*a, -2*f - a + 2 = -5. Solve 0 = 2*r - f*r + 8 for r. 2 Suppose -53*c + 57*c = 0. Solve 0*v - v - 4 = c for v. -4 Let n be (-4 - -15)*(-6)/(-33). Solve 2 + 8 = -n*p for p. -5 Let i(y) = -y + 8. Suppose 0 = -5*k + 6 + 9. Let a be i(k). Solve -f + a = 8 for f. -3 Let n be -1 + 0 + 4 + (-15 - -13). Solve -13 = 3*h - n for h. -4 Let l be 4 + 1 + (-2 - 3). Solve 0 = -l*j - j for j. 0 Let x = -10 + 14. Solve -5 = x*a + 3 for a. -2 Let m be 6/(-2)*(-2)/3. Suppose 9*h = 6*h. Suppose -y = 3*y - 4*l - 60, h = -y - 2*l + 9. Solve 5*d = m + y for d. 3 Let f(s) = -s - 1. Let j(m) = -m**3 + 5*m**2 - 7*m - 3. Let l(z) = 3*f(z) - j(z). Let k be l(4). Solve 5*h + 25 = -k*h for h. -5 Suppose -5*h - 4 = -7*h. Let z be (9/(-27))/((-1)/36). Solve -m - z = h*m for m. -4 Suppose 24 = 2*l - 16. Suppose -140 = -7*n + 3*n. Suppose n = 4*z - 5*d, -2*z + d - 7 = -l. Solve z*j - 4 = 16 for j. 4 Suppose -3*i = 4*o - 3*o - 5, 2*o - 4*i = 20. Solve 3*g - 1 - o = 0 for g. 3 Suppose 2*h = 4*h - c - 14, -3*c - 32 = -4*h. Suppose -51 = -5*w + w + 3*s, -25 = h*s. Solve 0 = -w*x + 4*x + 10 for x. 2 Suppose 4*t + 0*t = 12. Let c be 1*t*(-18)/(-6). Solve -2*h - h = -c for h. 3 Let a(m) be the second derivative of 0*m**2 + 0 - 1/6*m**3 - 2*m. Let w be a(0). Solve -c - 2 = -w for c. -2 Suppose 0 = f - 2*f + 9. Let q be (-3)/(3 - f/2). Solve -3*k - 5 = -q for k. -1 Let n be 3/6 + 23/2. Solve -5*t = -2*t - n for t. 4 Let v(w) = w**2 - 9*w + 3. Let n be v(9). Suppose 7*z - 3*z = 0. Solve z*r = -n*r + 15 for r. 5 Suppose s - 6 = 1. Solve 4 = x + s for x. -3 Let p(z) = 3*z**2 - 1. Suppose 5*t - 1 = 4. Let n be p(t). Solve -k + n = -0 for k. 2 Let c = -21 + 51. Suppose 5*t + i = c, -2*t - 8 = 5*i - 20. Let f be (8/t)/(2/3). Solve 0 = f*n + n for n. 0 Suppose -o = -4, 3*a - 6*a + 3*o - 3 = 0. Solve q - 7 = -a for q. 4 Suppose 3*c - 8*c = -5*l - 55, -l + 5*c - 3 = 0. Let b = -8 - l. Suppose 4*i + 30 = 5*f, 7 = -f - 3*i - 6. Solve 12 = -b*m + f*m for m. -4 Suppose 3*z + 2*q + 1 = -11, 6 = 3*z - 4*q. Let y be 3*(-1 - z)/1. Let s be (y/(-2))/((-9)/12). Solve g - 1 = -s for g. -1 Suppose -a - 2*a + 2*y + 12 = 0, -8 = -2*a + 2*y. Let k be 30/8 - (-1)/4. Solve a = -4*o - k for o. -2 Suppose h - 5*o = 6*h + 5, -h = -2*o - 2. Suppose 4*j - 25 = -j. Solve -5*b + 10 + j = h for b. 3 Let s be ((-2)/(-2))/(-9 - -10). Solve s - 5 = -2*o for o. 2 Let v(t) = -8*t - 21. Let q be v(-3). Solve -q*x = 2*x + 5 for x. -1 Suppose -2*a - 12 = -0. Let h be a/(0 - 3) + -1. Solve h = -4*b - 7 for b. -2 Suppose 64 = 4*d - 5*k, -k + 67 + 42 = 5*d. Let v = d - 14. Suppose -2*o = -2*z + 23 - v, 0 = z - 4*o - 17. Solve h - 4 = z*h for h. -1 Let q = -13 - -19. Solve 4*v - 8 = q*v for v. -4 Let b be (-24)/(-16)*8/(-6). Let z = b + 5. Let o(h) = -h**2 + 3*h. Let q be o(z). Solve -3*g = 3 - q for g. -1 Let b(f) = -f - 4. Let q be b(-4). Suppose -m + 4*d + 16 = -q*d, 2*d + 8 = -m. S
{ "pile_set_name": "DM Mathematics" }
3). -9*u**2 Expand u + 3*u - u + (-2*u + 5*u - 2*u)*(0 + 1 - 2). 2*u Expand (-z**2 + z**2 - 2*z**2)*(z**2 + 2*z**2 - z**2) + 60*z**4 + 40*z**4 + 4*z**4 + 0*z**4. 100*z**4 Expand (-5 + 1 + 2)*(-6*b + b + 4*b + (-4 - 1 + 3)*(b - 4*b + 2*b) + 4*b + 3*b - 6*b - 3 + 3 - 5*b). 6*b Expand (-5*g**2 + 5*g**2 + 2*g**3)*(2*g - 4*g - g)*(2 + 0 + 4) - 2*g**3 - 2*g**4 + 2*g**3. -38*g**4 Expand (-4*g + 2*g + 3*g)*(-1 + 6 + 1). 6*g Expand 3*a**4 - a**4 + 0*a**4 + a**4 - 18*a**4 - 15*a**4 + (2*a**2 + 0*a + 0*a)*(-4*a**2 + a**2 + 5*a**2) + a**4 - 3*a**4 + 0*a**4. -28*a**4 Expand -5*d**3 - 2*d**3 + 5*d**3 + (3*d - 3*d + 3*d)*(-14 - 5*d**2 + 14). -17*d**3 Expand -t + t + 2*t + (-6 + 1 + 10)*(4*t + t - 3*t). 12*t Expand (-1 - 2*r + 1)*(4 - r - 2*r + r). 4*r**2 - 8*r Expand (-u - u - 9*u)*(u**4 - 2*u**4 - u**4). 22*u**5 Expand ((-1 + 0 - 2)*(-2*h - 5*h + 5*h) + h + 0 + 0)*(-2*h**2 - 10*h**3 - h**2 + 12*h**3). 14*h**4 - 21*h**3 Expand (-2 + 19 - 2*w - 13*w**4 - 18)*(0*w + w - 2*w). 13*w**5 + 2*w**2 + w Expand (4 + v - 4)*(5*v + 5 - 5 + (5*v - 3*v + 0*v)*(1 + 0 + 0)). 7*v**2 Expand (-1 + 0 - 2 - 1 + 4 - 2 + (1 - 4 + 5)*(3 + 2 - 7) + 2 - 6 + 3)*(5*s - 5*s + 15*s). -105*s Expand (0 + 1 + 1)*(-7*c - 8*c + 4*c)*(-4*c + c + 5*c). -44*c**2 Expand -2*x**5 + 0*x**5 + x**5 + (-x**3 + x**2 - x**2)*(3*x**2 + x**2 - 3*x**2) + 29*x**4 - 8*x**5 - 29*x**4 - 2*x. -10*x**5 - 2*x Expand -7*m + 24 - 24 + m - 2*m + 2*m - 5*m + m + 2*m + (0 + 3 - 1)*(2*m + m - m) + 0 + 0 + 2*m - m - 1 + 1 + 4*m - 3*m - 3*m. -5*m Expand (1 + 0 + 1)*((-1 + c + 1)*(0 + 4 - 2) - 54 + 54 + 24*c - 4*c + 5*c - 2 + 3). 54*c + 2 Expand h**5 + 2*h**3 - 2*h**3 + (0 + 6 + 4)*((h**2 + 3 - 3)*(3*h**3 + 0*h**3 - h**3) + 3*h**5 - 6*h**5 + 2*h**5 - 5*h**5 + 2*h**5 + 4*h**5). 21*h**5 Expand (9*x**2 - 3*x**2 + 4*x**2)*(0 + 0 + 3*x) + 0 + 0 + x**3. 31*x**3 Expand -2*b - 5 + 0 + 4 + 2*b - 1 + 1 + 0*b + 2*b - b + (-2 + 2 + 2)*(2*b - 4*b + 0*b). -3*b - 1 Expand (-1 - 1 + 0)*(-2*b**3 + 7*b**3 - 3*b**3)*(0*b + 2*b + 0*b + 0*b + b + 0*b + (-1 + 2 - 3)*(2*b - 4*b + 0*b)). -28*b**4 Expand (2*w - 1 + 1)*(2*w**4 - 3*w**4 + 3*w**4) - 1749*w + 1749*w - w**5 + 62*w**4. 3*w**5 + 62*w**4 Expand (-z**2 - 3*z**2 + 5*z**2)*(2 - 2 - z**3) + (3 - 1 - 1)*(2*z**5 - 4*z**5 + 4*z**5) + 1 + 2*z**5 - 1. 3*z**5 Expand (1 + 4 - 4)*(0 - 2 - 1)*(-a - 4*a + 0*a). 15*a Expand -4*l + 4*l**3 + 5*l - 3*l**3 - 3*l**3 + 0*l**3 - 2*l**3 + (0 - 4 + 2)*(2*l**3 + 3*l**3 - 3*l**3). -8*l**3 + l Expand -j + 2 + j + 4*j**2 + (-j + j - 2*j)*(4*j - 3*j - 4*j). 10*j**2 + 2 Expand (t - 1 + 1 + (-1 + 5 + 0)*(0*t + 2*t - 3*t))*(2 - 3 + 0). 3*t Expand 5*n**2 - n**2 - 5*n**2 - 15*n + 15*n + 22*n**2 + n - n**2 - n + n**2 + 0*n**2 + n**2 + (-1 - 2*n + 1)*(-4*n + 4*n - 2*n). 26*n**2 Expand (2 - 5 - 29*q**2 + 26*q**2)*(-5*q + 2*q + 4*q). -3*q**3 - 3*q Expand (t + 0*t + t)*(-2*t**4 + t**4 + 2*t**4 - 3*t**3) + 2*t**5 + 4 - 4. 4*t**5 - 6*t**4 Expand (2 + 1 - 6)*(v - v - 3*v**2). 9*v**2 Expand -2*z**4 - z**2 + z**2 + (-z**3 + 2*z**3 - 3*z**3)*(4 + 2*z - 4) + 28*z**4 - z**4 + 13*z**4. 34*z**4 Expand (3 + 1 + 1)*(-11*g**2 + 4*g**2 - 3*g**2). -50*g**2 Expand 2 - 2 - 3*w**4 + w**4 - 2*w**3 + 2*w**3 + (4*w - 5*w + 3*w)*(2*w**3 - 1 + 1) + 0*w**4 - w**4 - w**4 + w**4 + 0*w**4 + w**4. 2*w**4 Expand (6*t**2 + 3*t**2 - 4*t**2)*(5*t + t**2 - 5*t) - 6 + 3*t**4 + 6. 8*t**4 Expand l**3 - l**3 + l**3 + 3*l**3 - l**3 - l**3 + (-4*l + 4*l + 4*l)*(2*l**2 - 4*l**2 + 0*l**2). -6*l**3 Expand -2*i**4 + 3*i**4 - 3*i**4 + (-1 + 2*i + 1)*(3*i + 6*i + 0*i)*(3 + 2*i**2 - 3). 34*i**4 Expand (w**2 - 2*w**2 - w**2)*(w + 0 + 0) + (1 - 1 + w)*(8*w**2 - 5*w**2 + 8*w**2). 9*w**3 Expand ((1 - 1 - 2)*(2*l + 0 + 0) - 2*l + 0 + 0 + 1 - 1 + 3*l)*(1 - 6 - 2). 21*l Expand (-r**2 + r**2 + 2*r**2)*(4*r**2 + 2*r**2 - 4*r**2) - 5*r**4 + 22 - 22. -r**4 Expand (0 + 2*i + 0)*(-4 + 2 + 3) + (-i - 2*i + 5*i)*(0 + 5 - 3). 6*i Expand 0 - 2*u + 0 + 6*u - u - u + (4 - 2*u - 4)*(-2 + 3 - 3) + 0*u + 2*u + u. 9*u Expand (-t**3 - 2*t**3 + 4*t**3)*((3 + 2 - 3)*(-2 + 3 + 1) - 1 + 1 - 2)*(3 - 4 + 0). -2*t**3 Expand (102*y - 102*y - 5*y**2)*(-2*y**3 + 0 + 0) + (-5*y**3 - y**3 + 5*y**3)*(-2 + 2*y**2 + 2). 8*y**5 Expand (0*w + 0*w + 3*w**2 + (-2 + 0 + 0)*(-2*w + 2*w + 2*w**2) - 6*w**2 + 6*w**2 + 5*w**2)*(3*w - 3*w - 2*w**2). -8*w**4 Expand (-l + 0*l - l)*(22 + 32 - 88). 68*l Expand (-11*c - 5*c**3 + 3*c**3 + 6*c + c**2)*(-6*c**2 + 5*c**2 + 3*c**2). -4*c**5 + 2*c**4 - 10*c**3 Expand (-2*x + 0*x + 0*x)*(-2*x - x**3 + 2*x) + 0*x**4 + 3*x**4 - 2*x**4. 3*x**4 Expand (10 - 10 + 3*k**3)*(1 + 4*k - 1). 12*k**4 Expand (-j - 2*j + 4*j)*(-2079 + 2*j**3 + 76*j**2 + 2079). 2*j**4 + 76*j**3 Expand (3*q + q - 6*q)*(-4 - 2 + 0) + (2 - 4 + 0)*(-q + 2*q - 3*q) - 5*q + 5*q - q - q + 2*q + q. 17*q Expand (13 + 34 - 24)*(-1 - 2*s + 1). -46*s Expand (13*p**2 + 3*p**2 - 5*p**2)*(-2*p**3 + 5*p - 5*p + (-3*p + p + 3*p)*(-3 + p**2 + 3)). -11*p**5 Expand -16*q**4 + 4*q**2 - 2*q + 14*q**4 + q**2 + (2*q**4 + 3 - 3)*(-1 + 3 - 1) + 0*q**4 - 3*q**4 + 4*q**4. q**4 + 5*q**2 - 2*q Expand (29*y**2 - 3*y**2 - 10*y**2 + (-y - 1 + 1)*(2*y - 2*y + y))*(-4*y**3 + 4*y**3 - y**3). -15*y**5 Expand (-5 + 0 + 4)*(4*x - x - x + 3*x - 6*x + 2*x + (0 - 3 + 5)*(6*x - 2*x - 3*x))*(0*x + 0*x - 2*x). 6*x**2 Expand (2*x**2 + 0 + 0)*(-1 - 30*x + 0 + 61*x). 62*x**3 - 2*x**2 Expand (-3 + 1 + 3)*(s**4 - s**4 + 2*s**4) + (0 - 1 - 2)*(s**4 - s**2 + s**2). -s**4 Expand y**4 + 0 + 0 - 5*y**4 + y**4 + 5*y**4 + (3*y - 6*y + 4*y)*(3*y**3 + y**3 - 2*y**3) + (4 - y - 4)*(4*y**2 - 4*y**2 - 5*y**2)*(-y + 4 - 4). -y**4 Expand (-1 - 1 + 1)*(0*n**4 - 2*n**4 + n**4 + n**3 - n**3 - 2*n**4 + (0 - 3 + 5)*(n**4 + 2*n**4 - 4*n**4)). 5*n**4 Expand (-4 + 7 - 2)*(-2*h + 1 - 1) + 0*h + 4*h - 6*h + (1 - 1 - 2*h)*(-1 + 1 - 5). 6*h Expand 13*v - 13*v - 5*v**2 + 0*v + 4*v**2 + 0*v + (-1 + 1 - v)*(-3 - 2*v + 3) + 0*v**2 + v**2 + 0*v**2 - 3*v**2 - v**2 + 5*v**2. 3*v**2 Expand (-t + 0 + 0 - t + 0*t + 2*t - 2*t + 4*t + 0*t + t - t + t + (3*t - t - 3*t)*(-4 + 4 - 2) + 3 - 3*t - 3)*((3 - 1 + 0)*(-4*t + 3*t - t) - 4*t + 5*t + 0*t). -6*t**2 Expand (-2*v**4 - 2*v**4 + 3*v**4)*(1 - 3 + 4) + 4107 - 52*v**4 - 4107. -54*v**4 Expand (-3 - 2 + 2)*(-4 - 6 - 4)*(0 - b**3 + 0). -42*b**3 Expand (78*i**3 + 83*i**3 - 160*i**3 - i)*(4 - 2*i**2 - 4). -2*i**5 + 2*i**3 Expand (-2 - p + 2)*(2*p + 3*p - 6*p)*(3 - p - 3) + (p - 3*p + 3*p)*(-3*p**2 + 6*p**2 - p**2). p**3 Expand (12*u - 12*u + 14*u**2)*(0 + 3*u - 2 + 1). 42*u**3 - 14*u**2 Expand (5*f + 8 - 11*f + 3*f)*(-2*f**3 + 2*f**3 - 2*f**4). 6*f**5 - 16*f**4 Expand (-j**4 + 0*j**4 - 1 - 7*j**4)*(-3 + 1 + 0). 16*j**4 + 2 Expand (-1 + 4 - 2)*(0*x**4 - x**4 - x**4) - 2*x**4 + 4*x**3 - 4*x**3 - 3*x + 3*x + x**4 + (2 - 2 - 2*x)*(2*x**3 + x**3 - x**3) + 4*x**4 + 2*x**4 - 3*x**4. -4*x**4 Expand (-3*m - 2*m + 3*m)*(-1 + 0 + 0) + 3*m + m - 2*m + (3*m + 0*m - 2*m)*(6 + 2 - 4). 8*m Expand (2 + 2 - 3)*(5*s - 8*s - 2 - 4)*(-2*s - 2 + 2). 6*s**2 + 12*s Expand (0 + 0 - 11*j**2)*(-25*j + 20*j + 23*j). -198*j**3 Expand -3*s**5 + 6*s**5 - s**5 + (4*s**3 - 4*s**3 - s**3)*(8*s**2 + 2*s**2 + 7*s**2). -15*s**5 Expand (-4*p + 2*p + 6*p)*(3 - 3 + p**2)*(5*p - 2*p - p). 8*p**4 Expand (3 - 5 + 4)*(2*w**4 + 0*w**3 + 0*w**3 + (-3*w**2 + 2*w**2 + 0*w**2)*(-3*w**2 + 4*w**2 - 3*w**2) + w**4 + w**3 - w**3 - 2*w**3 + 2*w**3 + 2*w**4). 14*w**4 Expand -2 + 0 - 3*n**2 + n**2 + (-2*n - n + 2*n)*(2*n + 0*n + 0*n). -4*n**2 - 2 Expand -1 - j**4 + 1 + (0*j - 2*j + 4*j)*(2*j**2 + 2*j**3 - 2*j**2) + (3 + j**2 - 3)*(-11 + 11 + 4*j**2). 7*j**4 Expand (-1 - 2*a + 1)*(0*a**3 + 0*a**3 - 2*a**3) - 7*a**3 + 7*a**3 + 7*a**4. 11*a**4 Expand -4 + 10*b - 6 + 9 + (3 + b - 3)*(-3 + 1 + 3). 11*b - 1 Expand (-3*p + 4*p + 0*p + (-1 + 1 - 2*p)*(2 + 8 + 0))*(-5*p**4 + 7*p**4 + 5*p**4). -133*p**5 Expand (-1 + 1 - k**2 + k + 3)*(6 + 12 - 3). -15*k**2 + 15*k + 45 Expand (-1 + 1 + 2)*(2*z - 2 + 2 + 5*z**2). 10*z**2 + 4*z Expand (-3*f + 3*f - 2*f)*(-33*f**2 + 2*f**2 + 2*f - 7*f**2). 76*f**3 - 4*f**2 Expand (-2 - 1 + 1)*(0*f**2 + 2*f**2 + 2*f**2 + (-f + 2*f**2 + f)*(-2 + 0 + 1) - 8*f**2 + 1 - 1). 12*f**2 Expand 3 - 2*u - 3 + (1 + 2 + 0)*(2*u - 3*u - u) - 7 - 2*u + 7. -10*u Expand -3*k**3 + 2*k**3 - 4*k**3 + 2*k**3 + 0*k**3 - 4*k**3 + (2 + 0 - 4)*(k**2 - k**2 + 2*k**3). -11*k**3 Expand (-1 + 1 + 2*f)*(5*f**3 - 14 + 12*f**3 + 15). 34*f**4 + 2*f Expand (3 + 0 + 2)*(-4
{ "pile_set_name": "DM Mathematics" }
the highest common factor of 2 and c? 2 Let t(i) = 5*i**3 - 3*i**2 + 2*i. Let n be t(3). Suppose 3*v - 3*s - 54 = 0, -18 = -v - s + 2. What is the greatest common factor of n and v? 19 Suppose -4*b + 0*b = -168. What is the greatest common divisor of b and 6? 6 Let j = -69 + 75. What is the highest common factor of 12 and j? 6 Suppose 3*h = 4*g - 0*g + 225, -3*g = -3*h + 165. Let x = -38 - g. Calculate the highest common factor of 11 and x. 11 Suppose -j + 24 + 20 = -4*f, 3*f = 3*j - 114. Let v = -34 + -10. Let z be v/(-12) + 1/3. What is the greatest common factor of j and z? 4 Suppose -9 = -v + 5*u + 4, 5*u + 21 = 2*v. Let t be 16/(-3)*(7 + -10). Calculate the highest common divisor of v and t. 8 Let b be 1*(-10)/2*-4. Let d = 0 + 18. Let v = -8 + d. What is the highest common factor of b and v? 10 Suppose d = -0*d + 16. Suppose 7*f - 51 = -3*q + 4*f, 0 = -5*q + f + 55. Let g be (1 - -7)/(q/264). What is the highest common divisor of g and d? 16 Suppose 0 = 2*d + 3*f - 4*f + 15, 0 = -f - 1. Let t be (-804)/(-10) - d/(-20). What is the greatest common divisor of t and 16? 16 Let p be (6/8)/((-8)/384). Let q = -26 - p. What is the highest common divisor of 70 and q? 10 Let n(r) = -r**3 + 5*r**2 + 7*r - 2. Let h be n(6). Suppose h*o - 66 = 2*o. What is the greatest common divisor of 22 and o? 11 Suppose 5*l + h = -h + 47, -h - 4 = 0. Calculate the highest common factor of l and 1. 1 Suppose -28 = -2*y + 4*h + 8, 4*y = h + 93. What is the highest common divisor of 8 and y? 8 Let j = -13 + 43. What is the highest common divisor of j and 12? 6 Let z be (0/(-2))/(2/1). Let b = 1 + 2. Let c = z + b. What is the highest common factor of 15 and c? 3 Let x = -91 + 130. Let f = 4 - 2. Let j be (52/f)/((-5)/(-5)). What is the highest common divisor of x and j? 13 Suppose 6 = 2*i + i. Let h be i - 2 - (-1 + -1). Suppose -3*z = h*g - 172, 4*z - 250 = -g - 24. Calculate the highest common factor of z and 8. 8 Let x be -3*(-12)/(-18)*50/(-4). Calculate the highest common divisor of x and 50. 25 Let u(k) = -k + 6. Let b be u(6). Suppose -s + 3*s - 8 = b. Suppose -o = -v + 23, s*v + 2*o = -2*o + 68. Calculate the highest common divisor of 5 and v. 5 Let h(w) = 3*w**2 + 2*w - 1. Let f be h(4). Suppose 4*d + d - f = 0. What is the greatest common divisor of d and 55? 11 Let r be (3/9 + -1)*-132. Suppose -4*d = -4*x - 2*d + r, -5*x + 104 = -4*d. What is the highest common divisor of 3 and x? 3 Suppose -3*i + 2 + 13 = 0. Suppose -3*k + i*w - w = -8, -36 = -4*k - w. What is the greatest common factor of 8 and k? 8 Suppose -7*n - 441 = -4*n. Let d = -93 - n. Calculate the greatest common factor of d and 6. 6 Let w(r) = -r**3 - 3*r**2 + 20*r + 5. Let g be w(-8). Calculate the highest common factor of g and 66. 33 Suppose -5*h = -37 - 238. What is the greatest common factor of 22 and h? 11 Let v be (8 + 0)/(5/(0 + 10)). What is the highest common divisor of v and 4? 4 Let l = -21 + 39. Calculate the highest common factor of 27 and l. 9 Let c = 5 + -2. Suppose -4*f + 111 = 3*x, 2*x = -3*f + 7*f + 54. Calculate the highest common factor of x and c. 3 Suppose 2*f - 7*f - 3*a - 58 = 0, 29 = -3*f + 4*a. Let z = f - -14. What is the highest common factor of 1 and z? 1 Suppose 2*v = 7 + 3. Suppose 0 = v*j, 0 = -6*l + 3*l - j + 36. Calculate the highest common divisor of l and 36. 12 Suppose 2*d - 3*d = -25. Calculate the greatest common divisor of 250 and d. 25 Suppose 0 = -4*x + 5*p - 6, -5*x - p = -0*p + 22. Let w = x - -8. Calculate the greatest common factor of 2 and w. 2 Let g(a) = -5*a + 1. Let q be (-2)/(-4)*(-4)/2. Let b be g(q). Calculate the highest common factor of b and 2. 2 Suppose 3*v - 7*v + 72 = 0. What is the greatest common divisor of 162 and v? 18 Let y(u) = -11*u - 5. Let m(o) = 44*o + 20. Let p(t) = 2*m(t) + 9*y(t). Let x be p(-7). Calculate the greatest common divisor of 8 and x. 8 Suppose 5*v - 3*g - 81 = 0, 5*v + 4*g - 18 - 84 = 0. Calculate the highest common factor of 90 and v. 18 Suppose -2*k + 2*g = -40, 16 = 2*g - 6*g. Suppose 7*j - 8 = 5*j. Calculate the greatest common factor of k and j. 4 Suppose 4*k - 29 = -9. Suppose t + k*s = -12, -3*t = -7*t + 5*s + 77. Calculate the highest common divisor of 13 and t. 13 Let c = 8 + 44. Let d = c - 34. Calculate the highest common factor of d and 45. 9 Let c be ((-2)/(-3))/(6/117). Let a be 4 - (-22)/(2/((-4)/(-2))). Calculate the highest common factor of c and a. 13 Suppose 2*a - 11 = 13. Calculate the greatest common divisor of a and 96. 12 Suppose -6*h + 4*h + 10 = 0. Suppose 2*b - h*b = -3. Suppose 0 = 4*j - 395 - b. What is the greatest common factor of j and 11? 11 Suppose 0*c = -2*c - 32. Let l be (-30)/(-2 - 26/c). Suppose -s - 5*r + 10 = s, l = 4*s - 5*r. What is the highest common factor of s and 90? 15 Let l be (10/6)/((-2)/6). Let a = 1 + l. Let y(m) = m**2 + 2*m + 6. Let g be y(a). What is the greatest common divisor of g and 56? 14 Let h be (-6)/4 + 6/12. Let q = 17 + -27. Let a = h - q. What is the greatest common divisor of 45 and a? 9 Let f(u) = u**2 + 4*u + 1. Let p(j) = -j**2 - j + 1. Let g be p(2). Let z be f(g). Let w be (-3)/(9/(-87)) + 1. What is the greatest common factor of w and z? 6 Let w = 154 + -87. Suppose -3*v = -5*z - 81, 4*v + v - 2*z - 135 = 0. Suppose v = -5*d + w. Calculate the greatest common factor of 4 and d. 4 Let l be 139/2 - 6/(-12). What is the greatest common factor of l and 10? 10 Let d = 0 + 5. Let i(s) be the first derivative of -s**3/3 - 5*s**2 - 5*s - 1. Let z be i(-5). What is the greatest common factor of d and z? 5 Let o be ((-80)/(-25))/((-2)/(-10)). Suppose 2*h - o = -2*h. What is the greatest common factor of 16 and h? 4 Let p(d) = d**2 + 10*d - 2. Let j be p(-11). Calculate the highest common divisor of j and 18. 9 Suppose -4*a = -3*i - 29, 3*a = -2*i - i + 27. Suppose a = 2*w - 26. Calculate the greatest common divisor of 17 and w. 17 Let n = 28 + 0. What is the highest common divisor of 28 and n? 28 Suppose 0 = -2*r - 0 + 4. What is the highest common divisor of r and 2? 2 Let r = 50 + 132. Suppose 4*n - r + 22 = 0. Calculate the greatest common factor of 5 and n. 5 Let x = -42 + 74. Suppose 2*r - 2*d = 12, 2*r + 4*d = r + 16. Calculate the greatest common divisor of r and x. 8 Let r be 4 + -1 + 0/4 - -33. Calculate the highest common divisor of 90 and r. 18 Let s be (21/3)/(-1 + 0). Let r = s + 18. Let g = -59 + 92. Calculate the greatest common divisor of r and g. 11 Suppose 4*h - 62 = -2. What is the greatest common divisor of 15 and h? 15 Let p be 1 + (2 - 2) + 2. Suppose 0 = -p*a + 19 + 14. Calculate the greatest common divisor of 11 and a. 11 Let r = 141 - 131. Suppose 4 = -d, 4*o - 2*o + 4*d + 8 = 0. Calculate the highest common factor of r and o. 2 Suppose -12 = -13*i + 11*i. What is the greatest common divisor of 9 and i? 3 Let l(c) = 4*c - 6*c + 4*c. Let u(n) = 9*n**3 + n**2 - 1. Let k be u(1). Let x be l(k). What is the greatest common factor of 6 and x? 6 Let b(x) = x**2 + 7*x + 4. Let o be b(-10). What is the highest common divisor of o and 68? 34 Let q = 38 - 16. What is the greatest common divisor of q and 2? 2 Suppose 0 = 27*u - 43*u + 128. Let r = 4 + -2. Calculate the highest common factor of u and r. 2 Let h(p) = -p**2 + 24. Let r be h(0). Suppose 13*m - 42 = 6*m. Calculate the highest common divisor of m and r. 6 Let v be 20/4*(-8)/(-10). Suppose 4 = -2*z - v. Let h be (1 - 3)/(z/234). Calculate the highest common divisor of 13 and h. 13 Suppose -5*k - o = 2*o - 160, 5*k + 2*o = 165. What is the greatest common factor of k and 5? 5 Let y be 1 - (-10*1 + 0). Let l = y - -3. Let m(j) = j**2 + j + 112. Let h be m(0). Calculate the greatest common factor of l and h. 14 Let a be 144/15 + -8 + (-3)/5. Let o = 103 - 71. Suppose 0*z - f = 5*z - o, 0 = -2*z - 3*f + 5. Calculate the highest common factor of z and a. 1 Suppose 21*c - 19*c - 96 = 0. What is the greatest common factor of 16 and c? 16 Let u be (6/(-5))/(3/(-10)). Let a = 38 - 20. Suppose 5*v = 158 - a. Calculate the highest common factor of v and u. 4 Let j = 55 + 50. What is the greatest common divisor of j and 21? 21 Suppose -9 = -s + 3*j, -3*s - 3*j + 26 = -1. What is the highest common divisor of s and 9? 9 Let x(w) = -4 - 3 - 2*w**2 - 9*w + w**2. Let j be x(-8). Le
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {y: 3, l: 1, r: 1, a: 1, n: 1}. Give prob of picking 1 y, 1 a, and 1 r. 3/35 What is prob of picking 1 k and 1 e when two letters picked without replacement from {s: 1, k: 2, o: 2, e: 1}? 2/15 What is prob of picking 2 j and 1 a when three letters picked without replacement from {a: 1, e: 4, d: 1, j: 8, l: 3}? 7/170 What is prob of picking 3 l and 1 u when four letters picked without replacement from luuoolfuutluuofput? 7/3060 Three letters picked without replacement from {h: 13, g: 5}. What is prob of picking 3 h? 143/408 Four letters picked without replacement from hhdhddhhhdhdhhhh. What is prob of picking 2 d and 2 h? 55/182 What is prob of picking 3 e when three letters picked without replacement from ded? 0 What is prob of picking 2 n and 1 s when three letters picked without replacement from ssnssadsnnaad? 15/286 Two letters picked without replacement from {b: 9, o: 2}. Give prob of picking 1 b and 1 o. 18/55 Calculate prob of picking 1 g, 1 s, 1 i, and 1 z when four letters picked without replacement from {z: 1, s: 3, g: 1, i: 2, c: 7, q: 3}. 3/1190 What is prob of picking 1 y, 1 p, and 1 h when three letters picked without replacement from pyhvypypvaypppyyy? 21/340 What is prob of picking 1 l, 1 w, and 1 t when three letters picked without replacement from {t: 1, l: 1, w: 12}? 3/91 Calculate prob of picking 1 g and 3 c when four letters picked without replacement from cgcdgctdtcctdtcgtdc. 35/1292 Two letters picked without replacement from {u: 3, g: 4, i: 1, t: 1, o: 2}. What is prob of picking 2 g? 6/55 Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {v: 6, p: 2}. 15/28 What is prob of picking 1 h and 1 p when two letters picked without replacement from hgvggdp? 1/21 Calculate prob of picking 4 w when four letters picked without replacement from {j: 5, w: 5}. 1/42 What is prob of picking 2 u and 2 t when four letters picked without replacement from yultquutteettttell? 7/340 Three letters picked without replacement from jjjjbjbbjj. What is prob of picking 3 j? 7/24 Three letters picked without replacement from ccniccccnc. What is prob of picking 1 i and 2 c? 7/40 Three letters picked without replacement from {u: 4, v: 1, x: 12, e: 2}. What is prob of picking 1 e and 2 x? 44/323 Three letters picked without replacement from {h: 5, x: 2}. Give prob of picking 2 h and 1 x. 4/7 Calculate prob of picking 1 z and 2 g when three letters picked without replacement from {z: 1, e: 3, r: 7, g: 5, i: 2}. 5/408 Calculate prob of picking 3 i when three letters picked without replacement from irriinnrnrrrrrnr. 1/560 Four letters picked without replacement from {t: 1, k: 3, g: 13}. Give prob of picking 4 g. 143/476 Three letters picked without replacement from ddcggwcewddgmecmmcge. What is prob of picking 2 e and 1 w? 1/190 Two letters picked without replacement from oozemefiiemfezz. Give prob of picking 1 e and 1 i. 8/105 Two letters picked without replacement from {t: 1, c: 1, m: 1, j: 1, n: 1}. Give prob of picking 1 m and 1 n. 1/10 Calculate prob of picking 1 y, 1 p, and 1 v when three letters picked without replacement from vhvyhphhh. 1/42 Three letters picked without replacement from {f: 3, w: 8}. What is prob of picking 1 f and 2 w? 28/55 What is prob of picking 2 r and 1 y when three letters picked without replacement from cymryrmcyccycrmmrcm? 8/323 Two letters picked without replacement from ele. Give prob of picking 2 e. 1/3 Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {e: 3, l: 4, c: 2, k: 2, n: 2}. 1/13 Four letters picked without replacement from kskggggkgkkskgg. What is prob of picking 4 g? 1/39 Four letters picked without replacement from {w: 3, q: 2, v: 8, r: 4, f: 2, j: 1}. What is prob of picking 1 q, 1 r, 1 w, and 1 v? 64/1615 What is prob of picking 1 m and 1 x when two letters picked without replacement from mxmxm? 3/5 Two letters picked without replacement from {e: 3, q: 2, f: 1, p: 5, y: 1, r: 1}. Give prob of picking 1 r and 1 e. 1/26 Calculate prob of picking 2 u when two letters picked without replacement from {a: 1, u: 6, o: 2, h: 3}. 5/22 Two letters picked without replacement from nnnbnjjjnsjjsnssnj. Give prob of picking 2 j. 5/51 What is prob of picking 4 m when four letters picked without replacement from {f: 1, d: 2, j: 3, m: 6}? 1/33 What is prob of picking 2 d and 2 o when four letters picked without replacement from {d: 6, o: 2}? 3/14 What is prob of picking 1 t and 1 n when two letters picked without replacement from {s: 1, y: 1, n: 1, t: 1, d: 8, e: 2}? 1/91 Four letters picked without replacement from ggggysygyygggggggy. What is prob of picking 4 y? 1/612 Two letters picked without replacement from ssznmvnzmsznzsss. What is prob of picking 2 m? 1/120 Two letters picked without replacement from {o: 2, u: 3}. What is prob of picking 2 o? 1/10 Three letters picked without replacement from cuafgag. Give prob of picking 2 g and 1 a. 2/35 Two letters picked without replacement from xzdmmxdozddmmde. What is prob of picking 1 x and 1 e? 2/105 Two letters picked without replacement from {t: 1, d: 3, g: 5, c: 3, l: 1}. Give prob of picking 1 l and 1 c. 1/26 Calculate prob of picking 1 i and 2 d when three letters picked without replacement from irdjido. 2/35 Calculate prob of picking 4 t when four letters picked without replacement from ttnntntnttttnt. 18/143 Calculate prob of picking 3 j and 1 k when four letters picked without replacement from {k: 11, j: 3}. 1/91 Four letters picked without replacement from jjjjsjjjjjjjjjj. Give prob of picking 4 j. 11/15 What is prob of picking 1 o and 1 j when two letters picked without replacement from {g: 5, o: 1, j: 5}? 1/11 Four letters picked without replacement from {r: 6, m: 2, h: 5}. What is prob of picking 4 h? 1/143 Four letters picked without replacement from ssssgsvjsssssgggus. What is prob of picking 2 g, 1 u, and 1 j? 1/510 Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, h: 3, i: 1, a: 3}. 1/120 What is prob of picking 2 b when two letters picked without replacement from hhb? 0 Three letters picked without replacement from {m: 1, n: 2, z: 2, c: 1, s: 4, a: 2}. Give prob of picking 1 a, 1 s, and 1 n. 4/55 Four letters picked without replacement from {v: 13, r: 5, t: 2}. What is prob of picking 3 v and 1 r? 286/969 Four letters picked without replacement from iiiciciiicicccciicci. Give prob of picking 4 c. 42/1615 Calculate prob of picking 3 b when three letters picked without replacement from sbbbssbsbs. 1/12 What is prob of picking 4 u when four letters picked without replacement from yuyrrrutrtryuyut? 1/1820 What is prob of picking 1 q and 1 j when two letters picked without replacement from qqjewuu? 2/21 What is prob of picking 2 j and 1 n when three letters picked without replacement from ozojjoofnzozooozzz? 1/816 Two letters picked without replacement from yttot. What is prob of picking 2 t? 3/10 Calculate prob of picking 4 m when four letters picked without replacement from mmpggmpgpmmgmgi. 1/91 What is prob of picking 1 m and 2 k when three letters picked without replacement from {k: 2, m: 5}? 1/7 Three letters picked without replacement from vlvlvlvlvvvllvvvlllv. What is prob of picking 2 l and 1 v? 33/95 Two letters picked without replacement from {i: 1, g: 1, z: 2, r: 2, w: 1, e: 2}. Give prob of picking 2 e. 1/36 Two letters picked without replacement from nprnnkkn. Give prob of picking 1 k and 1 r. 1/14 Calculate prob of picking 1 s, 2 k, and 1 p when four letters picked without replacement from {s: 2, l: 4, c: 2, p: 4, k: 2}. 8/1001 What is prob of picking 2 j when two letters picked without replacement from {j: 15, u: 3}? 35/51 Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, a: 1}. 1/3 Three letters picked without replacement from dzdddedzzzddzddeezz. What is prob of picking 2 e and 1 d? 9/323 What is prob of picking 2 z when two letters picked without replacement from {u: 3, z: 4}? 2/7 Three letters picked without replacement from oookoooookoooooookk. What is prob of picking 3 k? 4/969 Calculate prob of picking 1 h, 1 o, and 2 y when four letters picked without re
{ "pile_set_name": "DM Mathematics" }
in months? 10 Convert 916.4058 litres to millilitres. 916405.8 How many seconds are there in 0.4094292 hours? 1473.94512 Convert 78228.78 millennia to years. 78228780 How many centuries are there in 71184.48 years? 711.8448 How many minutes are there in 2/15 of a week? 1344 Convert 14.613441 microseconds to minutes. 0.00000024355735 What is 21/2 of a hour in minutes? 630 How many seconds are there in 6/25 of a hour? 864 What is twenty-one quarters of a gram in milligrams? 5250 What is 96307.36 years in millennia? 96.30736 How many millilitres are there in 0.0104521l? 10.4521 How many millimeters are there in fourty-eight fifths of a meter? 9600 What is one tenth of a century in years? 10 How many kilograms are there in 7/4 of a tonne? 1750 What is seven halves of a century in decades? 35 What is 3/50 of a microsecond in nanoseconds? 60 What is 7/8 of a centimeter in micrometers? 8750 What is seven halves of a decade in months? 420 How many millilitres are there in 21/2 of a litre? 10500 How many millilitres are there in 7/25 of a litre? 280 Convert 27444.97 millimeters to meters. 27.44497 How many hours are there in 8831.9925ms? 0.00245333125 Convert 2.629567 decades to millennia. 0.02629567 How many litres are there in 29.0317ml? 0.0290317 Convert 968625.4 micrometers to nanometers. 968625400 What is 21/5 of a microgram in nanograms? 4200 What is eighty-eight fifths of a litre in millilitres? 17600 Convert 20.12459l to millilitres. 20124.59 Convert 41742.18 days to milliseconds. 3606524352000 How many millilitres are there in five quarters of a litre? 1250 What is 3172.105 millimeters in nanometers? 3172105000 What is 0.8033208 centuries in decades? 8.033208 How many litres are there in 711074.5ml? 711.0745 How many milliseconds are there in 261.7901 minutes? 15707406 Convert 81.55262 centuries to years. 8155.262 How many meters are there in 61/4 of a kilometer? 15250 How many litres are there in 93398.07 millilitres? 93.39807 Convert 1.1572704 minutes to hours. 0.01928784 What is five eighths of a litre in millilitres? 625 How many millilitres are there in seventy-four fifths of a litre? 14800 How many years are there in 1963.9998 months? 163.66665 What is 873.326 years in months? 10479.912 How many days are there in 17624981.7 seconds? 203.99284375 How many millilitres are there in twenty-seven fifths of a litre? 5400 How many millilitres are there in 3/5 of a litre? 600 What is 50.28298 micrometers in meters? 0.00005028298 What is 52.75247 millennia in centuries? 527.5247 How many micrograms are there in 9.078846t? 9078846000000 How many millimeters are there in one twentieth of a kilometer? 50000 How many grams are there in one fifth of a kilogram? 200 How many kilograms are there in 15/4 of a tonne? 3750 How many seconds are there in five sixths of a minute? 50 How many millilitres are there in 523859.1 litres? 523859100 What is three eighths of a millennium in months? 4500 What is 162070.6l in millilitres? 162070600 How many centimeters are there in 1/16 of a kilometer? 6250 How many litres are there in 9547.251 millilitres? 9.547251 How many minutes are there in 43.62424 hours? 2617.4544 How many months are there in one tenth of a decade? 12 How many seconds are there in 1/6 of a minute? 10 What is 2/15 of a decade in months? 16 What is 6874.514 years in months? 82494.168 Convert 1.266958 years to millennia. 0.001266958 What is 5/4 of a week in minutes? 12600 Convert 12.15398 centimeters to kilometers. 0.0001215398 What is 8.819737 hours in minutes? 529.18422 Convert 18215.63 centimeters to millimeters. 182156.3 How many seconds are there in 1/9 of a week? 67200 Convert 8991.576ms to hours. 0.00249766 What is 225.739t in grams? 225739000 What is two fifteenths of a millennium in months? 1600 What is 3/5 of a century in decades? 6 What is seven halves of a litre in millilitres? 3500 How many grams are there in 68.45485ng? 0.00000006845485 What is eleven halves of a litre in millilitres? 5500 Convert 6039.763mm to kilometers. 0.006039763 Convert 0.3954177 litres to millilitres. 395.4177 Convert 0.9482454 nanoseconds to days. 0.0000000000000109750625 What is 49/4 of a litre in millilitres? 12250 What is three fifths of a gram in milligrams? 600 How many milliseconds are there in 37/5 of a second? 7400 How many millilitres are there in 21/5 of a litre? 4200 What is 1.352984 decades in millennia? 0.01352984 What is 459381.5 tonnes in kilograms? 459381500 Convert 254819.6um to meters. 0.2548196 How many milliseconds are there in 0.4603064 days? 39770472.96 Convert 25.01168mm to meters. 0.02501168 How many millilitres are there in twenty-one halves of a litre? 10500 How many years are there in seven halves of a millennium? 3500 What is three fifths of a millennium in months? 7200 What is 1/5 of a century in years? 20 What is 25/4 of a millennium in years? 6250 How many minutes are there in 142.81971ms? 0.0023803285 What is 1.444018nm in millimeters? 0.000001444018 What is 3/5 of a meter in centimeters? 60 How many weeks are there in 2.6315807 days? 0.3759401 What is 15/4 of a microgram in nanograms? 3750 What is twenty-seven fifths of a meter in centimeters? 540 How many litres are there in 931230.1ml? 931.2301 What is 36260.01nm in kilometers? 0.00000003626001 What is 7795.94382ns in weeks? 0.00000000001289011875 What is 3/8 of a century in months? 450 How many grams are there in 0.5908921 micrograms? 0.0000005908921 What is 9.96461 decades in millennia? 0.0996461 What is 51.91657ml in litres? 0.05191657 What is 0.8353953 millimeters in meters? 0.0008353953 Convert 43336.4 centuries to years. 4333640 How many minutes are there in 4/7 of a week? 5760 How many grams are there in 0.7914695 nanograms? 0.0000000007914695 What is nine tenths of a week in minutes? 9072 What is one twentieth of a millennium in years? 50 What is 1/5 of a millennium in centuries? 2 How many millilitres are there in 45325.17l? 45325170 How many days are there in 2543.12892 microseconds? 0.0000000294343625 What is 57.18755 grams in kilograms? 0.05718755 How many grams are there in 11/4 of a kilogram? 2750 How many millilitres are there in 0.4200352 litres? 420.0352 Convert 51961.28 nanograms to kilograms. 0.00000005196128 Convert 98.82375 years to millennia. 0.09882375 How many months are there in 55768.9 centuries? 66922680 How many nanograms are there in 8255.14 micrograms? 8255140 How many millilitres are there in 5.887832l? 5887.832 How many milligrams are there in one quarter of a gram? 250 What is 7.5182 millennia in years? 7518.2 How many hours are there in 2.5343298 minutes? 0.04223883 What is three tenths of a meter in millimeters? 300 How many millimeters are there in 6/5 of a meter? 1200 What is 0.8655023 seconds in microseconds? 865502.3 Convert 32.28299mg to tonnes. 0.00000003228299 What is 49.14853 centuries in months? 58978.236 How many millimeters are there in one twentieth of a kilometer? 50000 Convert 599.1438 litres to millilitres. 599143.8 How many milligrams are there in 185580.7 micrograms? 185.5807 How many centuries are there in 65387.32 decades? 6538.732 How many millennia are there in 295.52214 months? 0.024626845 What is 0.4910245 millilitres in litres? 0.0004910245 How many milligrams are there in 53/4 of a gram? 13250 What is thirteen fifths of a kilogram in grams? 2600 What is 292422.2 years in decades? 29242.22 Convert 58916.5g to micrograms. 58916500000 How many milligrams are there in 524.5995 kilograms? 524599500 How many millimeters are there in 6/5 of a meter? 1200 How many nanometers are there in 51346.09km? 51346090000000000 What is 58.06474 decades in centuries? 5.806474 Convert 594.4232 nanograms to grams. 0.0000005944232 How many millilitres are there in twenty-one fifths of a litre? 4200 What is thirteen fifths of a milligram in micrograms? 2600 How many millilitres are there in 1/4 of a litre? 250 What is 12/25 of a second in milliseconds? 480 What is twenty-three sixths of a hour in minutes? 230 How many kilograms are there in three eighths of a tonne? 375 What is 45.02443kg in milligrams? 45024430 Convert 822.9455 centuries to decades. 8229.455 What is 7703.949 seconds in nanoseconds? 7703949000000 How many litres are th
{ "pile_set_name": "DM Mathematics" }
alculate 92/207*((-15)/6 - -4). 2/3 What is ((-6)/(-57))/1 + 10726/(-1178)? -9 Calculate (30/(-135))/((-26)/54). 6/13 ((-322)/525)/(-23)*-3 + (-327)/(-1275) 3/17 What is the value of ((-896)/(-144) + 8/(-36))/(-3)? -2 What is (-2 - 1 - 216/(-56)) + (-82004)/6916? -11 What is 5*480/(-408) - (0 - 6)? 2/17 498/(-16) + 8 - (-4 + 217/56) -23 Calculate -11 - ((-38)/323 + 1118/(-34)). 22 What is (-13 - -13) + 12 + 30/(-1)? -18 What is 20/160*(-2 - -168) - (-8)/32? 21 Calculate -5 - (1140/133 + -13). -4/7 (-2 + 0/(-11))*(-195)/30 13 Evaluate (2/12)/(199/20298). 17 Calculate (2/(18/15))/(63/(-378)). -10 Calculate 6 + 53/(3339/(-294)). 4/3 What is (-35)/2*2 - -16? -19 What is the value of ((-48)/8 + 5)*(-240)/(-192)? -5/4 Evaluate (-15 + 72/9)*(-3)/21. 1 Evaluate 1/4*70/60*(-7)/49. -1/24 (-3)/(-36)*((-15)/(-6) + 144/(-32)) -1/6 Calculate (-3)/(-42)*86 - (-115)/(-805). 6 What is 54/(-9) - (-204)/48? -7/4 What is (28 + -16)*(-1 - -2)/(4 + -5)? -12 Calculate (-5 - 5)/(23/((-161)/14)). 5 Calculate -2 - 0 - -28 - (-3 + 46 + -33). 16 What is 729/972 - (1 - 3*(-1)/(-15))? -1/20 -10 - 1152/(-80) - (-13 + 17) 2/5 Calculate ((-80)/96)/((-25)/15). 1/2 Calculate 959/1918 - 14/(-4)*-3. -10 What is the value of (-5)/1 + (-3 - (-6)/2)? -5 (-796)/66 - (9520/(-1848))/85 -12 960/(-56) - 902/(-287) -14 What is the value of 10 - (-13 + 16)/(6/(-12))? 16 What is the value of 2 - (-7)/(-4) - (-320543)/(-17564)? -18 10/(-16) - 243/(-486) -1/8 Evaluate 4/(-3)*(5/(-25) + 22/(-440)). 1/3 Calculate ((-309)/63 + 5)*6 + 48/14. 4 16/(-15 - 252/(-18)) -16 What is -19 - (-8 - 31) - 6? 14 Calculate -2 - (-60)/48*(-133)/(-70). 3/8 Evaluate (-840)/(-154) + -6 - (-164)/(-22). -8 Evaluate 5/(((-15)/(-3) + -4)*-6 - -7). 5 What is the value of -18 - 9 - (-14 - -1)? -14 What is the value of (-602)/(-903)*315/(-6)? -35 What is 57/135 - 32/(-240)? 5/9 Evaluate (((-4)/3)/(-2))/((-235)/4230). -12 Calculate -4 + (380/10 + -4 - 24/4). 24 82/(-120) + ((-936)/(-30))/52 -1/12 What is the value of (-13)/(-39) - (-49)/(-1050)*5? 1/10 Calculate 10/(-11)*(-3927)/255. 14 Calculate (3/2*(-4)/(-18))/((-288)/7776). -9 What is 225/(-255) + (-4 - -8)/4? 2/17 Evaluate (-11)/(-1)*(-6 - (-7 - -2)). -11 Evaluate ((-88)/55)/(234/30 + -5). -4/7 What is (-12)/21 + (253/322)/((-9)/(-270))? 23 What is the value of 4/(-8)*(15/((-30)/8) + 0)? 2 Evaluate (-1)/4*56*(-42)/(-84). -7 What is the value of (1548/20640)/(9/24)? 1/5 What is the value of 22/(-2)*(14/45 - (-34)/(-306))? -11/5 What is 153/(-12) + 17 + -5? -3/4 Evaluate ((-2772)/(-55))/12*(-20)/(-14). 6 Calculate (2 - 0)/(532/(-38)). -1/7 Evaluate 9/(-21) + 1387/3857. -2/29 Calculate ((-108)/1008)/((-12)/(-54) + (-70)/72). 1/7 (-2)/11 - (-254)/(-5207) - (-2)/11 -2/41 What is 18/(-3)*33/(-110)? 9/5 Evaluate ((-9)/27)/((-1)/(-12 - 63)). -25 Calculate 18/(234/(-299)) - -16. -7 What is the value of (-135)/(-6)*(-28)/(-70)? 9 (-3)/18 + 19205/1002 19 Calculate 16/3*1*(279/(-108))/(-31). 4/9 Calculate (-38)/30 - 7/4*100/(-125). 2/15 What is (-6)/(-40) + (-20026)/1240? -16 (-4 - 1) + -2 + 2 + 6 1 Evaluate ((-5)/(-2) + 2)/((-194)/(-388)). 9 Calculate (14/20)/((-8960)/(-3840)). 3/10 Calculate 25/(-320)*-8 - 1. -3/8 Calculate ((-1344)/(-72) + -38)*((-21)/(-6) - 2). -29 Evaluate 5 + 24*10/80. 8 What is -3*((336/(-156))/(-14) - 172/1287)? -2/33 What is (-63)/(-42) - (-8)/4? 7/2 What is ((-132)/1848)/(((-6)/(-24))/(7/(-8)))? 1/4 (-2)/((-52)/104*3/((-21)/4)) -7 Calculate (-1104)/(-4140) - (-409)/(-15). -27 What is the value of 1/(-4)*8*(-27)/(-18)? -3 What is the value of 11/(-66)*(-105)/2 - (-3)/(-4)? 8 What is the value of 8/(-92) + 9132/276? 33 What is the value of ((-4)/(-4))/((2/2)/(180/20))? 9 What is the value of 1 - 6/((-78)/(-169))? -12 What is the value of ((-25)/175)/((-3)/(-14))? -2/3 (-60)/135 - 242/(-18) 13 Evaluate ((-2)/7)/((1798/217)/(-29)). 1 What is (120/1800*-65)/((2/6)/1)? -13 122 + -116 - (-26)/10 - 9 -2/5 What is the value of ((1/4)/((810/(-36))/9))/1? -1/10 (0 + (-70)/(-25))/(((-9)/(-9))/(-5)) -14 What is the value of -247*59/(-3363)*(-5 - -2)? -13 (159275/(-6375) + 25)/((-21)/15 + 1) -2/51 What is 91*(-36)/(-924) + 12/(-4)? 6/11 What is the value of (8/(12/3))/(-12*6/(-576))? 16 Calculate (2/(-4) + (13 - (-13 + 25)))*-4. -2 Calculate -1 + 6/(-150)*-45. 4/5 What is -1 - (0 + -12) - 42165/3748? -1/4 Evaluate (-35)/(-6)*(-261)/1218*2/10. -1/4 What is (-154)/(-22)*((-205)/175 - (-1 - 0))? -6/5 What is the value of -1 + (-4370)/361 - 2/(-19)? -13 What is (-18 - 352/16) + 11 + 15/(-5)? -32 Evaluate 6 + 46/(-15)*2. -2/15 What is (-9024)/(-480) - (20 + -2)? 4/5 Calculate 574/176 + -2 + 366/976. 18/11 (-10)/(-200) - (-9 - (-88)/10) 1/4 What is (234/(-2340) - 11/10)*30? -36 What is the value of 9192/(-98814)*(-1)/2? 2/43 Calculate (-4)/(-8)*460/25 + (27 - 39). -14/5 Calculate (-248)/(-651)*-3*(-3)/(-12). -2/7 Evaluate (-22 + (-5838)/(-266))/(-1). 1/19 Calculate 7/((-1638)/4173) - -16. -11/6 Calculate 2/(-107) - (-127880)/(-4922). -26 Evaluate (1 - -21) + 170680/(-7781). 2/31 What is the value of -5 + 8/3*(-1611)/358? -17 (17*(-15)/(-765))/((-1)/6*1) -2 Calculate 3045/(-150220)*(-8)/(-6). -1/37 What is the value of ((-93)/(-105) - 12/42)/(60/40)? 2/5 ((-225)/(-15) - 12)*2/99 2/33 What is the value of (7 - -2) + ((-220)/15)/(62/93)? -13 What is 3/(10583/(-532) - -20)? 28 (30/(-4050))/((-8)/8)*-6 -2/45 ((-42)/(-12) - 6)/(-7 + (-55)/(-10)) 5/3 -4*1 + ((-378)/1617)/((-6)/112) 4/11 What is the value of 2/6 - 1054/930? -4/5 Calculate -6 + 248/48 - (-123)/126. 1/7 432/24*1/(-4)*2 -9 What is the value of -25 - 29/609*-531? 2/7 What is the value of ((-42)/40 + 1)/((-280)/224)? 1/25 Calculate 551 + -541 + 328*(-5)/(500/3). 4/25 (21/(-30) - -1)/(9*13/1170) 3 (3 - 2)/(164/1025*10/4) 5/2 What is 18*((-23)/3 - (-31 - -14 - -10))? -12 Evaluate ((-3 - 1)*1)/(-57 + 51). 2/3 What is the value of (6 - 5) + (-14 - -13 - (-30)/21)? 10/7 Evaluate 3 - (5 + 114/(-12))*(4 - 2). 12 Calculate -3 - (-10)/(-20)*-24. 9 What is 22 - (-61)/(1403/(-230))? 12 What is (-404)/1212 - ((-129)/36 + -1 + 3)? 5/4 What is -3 + (-436)/(-130) + (-12)/(13 - -47)? 2/13 What is ((-16)/(-28))/((-2)/(-77)) - (-366)/61? 28 ((-4)/(-10))/(14 + 1464/(-105)) 7 Calculate 2/4 + 15/(-40) - (-132)/(-32). -4 Evaluate 480/(-1408) - (-1)/4. -1/11 Evaluate (4/(-8)*(4 + 4 - 7))/2. -1/4 (-78)/(-10)*(-960)/576 -13 Calculate -30 - (2/(-6))/(23750/(-912) - -26). -38 (105 - 128) + 878/38 2/19 What is ((-3)/8)/(45/(-480))? 4 Evaluate (5621/924 - (-2)/(-6)) + (-1)/(-4). 6 11/99 - 7/21*-1 4/9 Calculate 902/(-490) + (-2)/(-38) + (-9130)/(-5225). -2/49 What is the value of ((-24)/(-7))/(-6)*(-189)/(-90)? -6/5 Evaluate 5/20*10*((-2)/5 + -1). -7/2 Evaluate ((-49)/(-49))/(3/12). 4 What is 246 + -229 - (-5)/((-15)/6)? 15 -8 + ((-2)/1)/(52/6 - 8) -11 Calculate (-477)/(-1431) - (0 + 22/3). -7 What is the value of -55*1*(-25)/125 + -19? -8 Calculate (6/30)/(2639/(-910)). -2/29 Calculate (4/(-2) - 57/(-11)) + 3838/(-21109). 3 What is the value of (0 + 15 + (9 - (-19 - -23)))/(-2)? -10 Calculate (3 + 1)/(-23 - (-1533)/63). 3 (-837)/(-31) + (-24 - 13) -10 (-1127)/(-294) - (-2)/12 4 (110/165)/((-11)/(330/(-16))) 5/4 (68/12 + (-4 - -1))/(38/(-171)) -12 (-3 + 0)*296/(-1776) 1/2 Evaluate (-455)/(-30) + (-2310)/1764 + 2/14. 14 Evaluate 12/(-3) - (-10)/2. 1 Evaluate 21/(-21)*(1 + 2)*(-9)/3. 9 (-27)/(-4)*1 - (-21 - -28) -1/4 Calculate (-9)/((-18)/2) - (-22)/(-18). -2/9 Evaluate -26 + (5 - 3 - -4). -20 Calculate ((-3)/6)/(20/(-50) + 42/(-120)). 2/3 (-42)/(-441) - 7958/2415 -16/5 915/(-450)*-12 - 24 2/5 What is the value of (-2 - -10 - 8)/(-13 - -6 - -3)? 0 What is the value of (-330)/14 - (-23 + 7380/315)? -24 What is the value of 38/(-76)*-6 + 6*1 + 1? 10 8 - 28/14 - (-2 - 204/(-6)) -26 What is (44/(-7436)*-130)/((-7)/(-13))? 10/7 (-160)/140*((-117)/(-210) + 5/35) -4/5 What is (-88)/10*((-22630)/124)/73? 22 What is the value of (20/(-8))/((-435)/12)? 2/29 ((-226)/(-452))/(14/40 + 5/(-20)) 5 141/(-11) - 572/(-2 + -42) 2/11 19/(-1) + (-8533)/(-483) -4/3 (-220)/4*(18 + -9)/(-45) 11 What is the value of (-16)/(-200) + (-8)/((-5200)/98)? 3/13 -18 + 4 + (134 - 123) -3 Evaluate ((4 + -2)*1)/(26/195). 15 What is the value of (-2035)/555 + (-11)/(-3)? 0 What is the value of 18/21 - 1130/(-2373)? 4/3 What is the value of -6 - ((-1599)/286 + (-1)/2)? 1/11 ((-882)
{ "pile_set_name": "DM Mathematics" }
55299012. 2, 11, 17, 207619 List the prime factors of 4360539066. 2, 3, 13, 17, 53, 62047 What are the prime factors of 908842699? 107, 157, 54101 List the prime factors of 621916672. 2, 13, 223, 419 List the prime factors of 2350619023. 2350619023 What are the prime factors of 3110463886? 2, 97, 881, 18199 List the prime factors of 804074945. 5, 1811, 88799 List the prime factors of 54427452. 2, 3, 281, 16141 What are the prime factors of 1278351? 3, 142039 What are the prime factors of 3114995172? 2, 3, 41, 6331291 What are the prime factors of 163344728? 2, 53, 191, 2017 List the prime factors of 1240541641. 47, 223, 118361 What are the prime factors of 11213843? 11213843 List the prime factors of 1033721379. 3, 38285977 What are the prime factors of 83201704? 2, 1511, 6883 List the prime factors of 124913686. 2, 47, 53, 25073 List the prime factors of 6091566224. 2, 47, 8100487 What are the prime factors of 9410339? 19, 523, 947 List the prime factors of 7495040642. 2, 37, 5197, 19489 List the prime factors of 92260658. 2, 7, 29, 113, 2011 What are the prime factors of 634576964? 2, 7, 22663463 What are the prime factors of 48952556? 2, 23, 532093 List the prime factors of 2011289919. 3, 37, 181, 100109 List the prime factors of 487952363. 491, 993793 List the prime factors of 31928485. 5, 23, 277639 What are the prime factors of 57359550? 2, 3, 5, 127, 3011 List the prime factors of 20045481. 3, 1097, 6091 List the prime factors of 43740612. 2, 3, 1215017 What are the prime factors of 766707639? 3, 8179, 31247 What are the prime factors of 1335363037? 31, 53, 812759 What are the prime factors of 88352640? 2, 3, 5, 5113 What are the prime factors of 50899568? 2, 37, 127, 677 List the prime factors of 111734495. 5, 59, 378761 What are the prime factors of 63353574? 2, 3, 29, 121367 What are the prime factors of 643052902? 2, 29, 31, 357649 What are the prime factors of 58116879? 3, 2152477 What are the prime factors of 219319389? 3, 31, 491, 1601 List the prime factors of 145999204. 2, 13, 103, 27259 List the prime factors of 24371856. 2, 3, 169249 What are the prime factors of 229059307? 19, 1597, 7549 List the prime factors of 215434095. 3, 5, 3023, 4751 What are the prime factors of 902817054? 2, 3, 4243, 11821 What are the prime factors of 1379415819? 3, 17, 109, 248141 What are the prime factors of 844000224? 2, 3, 17, 29, 1049 What are the prime factors of 4979618566? 2, 13, 109, 139, 12641 List the prime factors of 13223447. 53, 249499 List the prime factors of 430221033. 3, 11, 47, 92461 List the prime factors of 135475008. 2, 3, 29, 839 What are the prime factors of 4265880711? 3, 41, 34681957 What are the prime factors of 71594456? 2, 101, 88607 List the prime factors of 131374104. 2, 3, 5473921 List the prime factors of 66620220. 2, 3, 5, 179, 6203 What are the prime factors of 1335540837? 3, 19, 23430541 What are the prime factors of 295268836? 2, 29, 71, 35851 What are the prime factors of 241700224? 2, 1888283 List the prime factors of 8201522. 2, 7, 83689 What are the prime factors of 159488652? 2, 3, 113, 117617 What are the prime factors of 813869183? 813869183 List the prime factors of 150596381. 13, 11584337 What are the prime factors of 246384675? 3, 5, 1095043 What are the prime factors of 157471292? 2, 11, 3578893 What are the prime factors of 225322315? 5, 29, 1553947 List the prime factors of 70014067. 47, 1489661 What are the prime factors of 1575358908? 2, 3, 41, 79, 40531 What are the prime factors of 35093834? 2, 37, 474241 List the prime factors of 32434751. 32434751 What are the prime factors of 4349071657? 7, 5659, 109789 List the prime factors of 11706593. 11706593 List the prime factors of 52300891. 17, 29, 106087 List the prime factors of 167369902. 2, 7, 59, 202627 What are the prime factors of 608760261? 3, 67640029 List the prime factors of 737565956. 2, 184391489 What are the prime factors of 91157185? 5, 7, 67, 38873 What are the prime factors of 564019531? 199, 2834269 List the prime factors of 579245171. 41, 14127931 What are the prime factors of 6012289? 1621, 3709 List the prime factors of 652160874. 2, 3, 29, 3748051 What are the prime factors of 310698753? 3, 103566251 What are the prime factors of 1471041231? 3, 11, 797, 55931 List the prime factors of 310859327. 577, 538751 What are the prime factors of 186770743? 186770743 List the prime factors of 71289883. 7, 10184269 What are the prime factors of 48894444? 2, 3, 1358179 List the prime factors of 39409581. 3, 53, 59, 4201 What are the prime factors of 112289206? 2, 83, 179, 3779 List the prime factors of 2210720296. 2, 1801, 153437 What are the prime factors of 1668890640? 2, 3, 5, 6953711 What are the prime factors of 145528877? 13, 11194529 List the prime factors of 370488792. 2, 3, 41, 71, 5303 What are the prime factors of 72309443? 72309443 What are the prime factors of 1155813062? 2, 577906531 What are the prime factors of 1628999212? 2, 407249803 List the prime factors of 302997377. 23, 73, 180463 List the prime factors of 2467088. 2, 13, 29, 409 List the prime factors of 461493775. 5, 1237, 14923 What are the prime factors of 2995162387? 7, 2503, 24421 List the prime factors of 182498031. 3, 23, 61, 97, 149 What are the prime factors of 259880338? 2, 113, 1149913 List the prime factors of 125466656. 2, 7, 23, 71 List the prime factors of 956614296. 2, 3, 11, 41, 88379 List the prime factors of 648986613. 3, 11, 587, 33503 List the prime factors of 397059202. 2, 198529601 List the prime factors of 70461248. 2, 11, 13, 7699 List the prime factors of 762517003. 59, 12924017 List the prime factors of 18204816. 2, 3, 7, 54181 What are the prime factors of 79046698? 2, 2143, 18443 List the prime factors of 119401708. 2, 31, 739, 1303 What are the prime factors of 462489278? 2, 231244639 List the prime factors of 254718811. 254718811 What are the prime factors of 491667820? 2, 5, 7, 3511913 What are the prime factors of 1446231690? 2, 3, 5, 167, 96223 What are the prime factors of 6569060433? 3, 13, 168437447 List the prime factors of 1768621288. 2, 7, 59, 76471 List the prime factors of 7955657968. 2, 31, 73, 219721 List the prime factors of 4700632282. 2, 3517, 668273 List the prime factors of 6592225. 5, 457, 577 What are the prime factors of 4699813? 73, 64381 What are the prime factors of 107327872? 2, 853, 983 List the prime factors of 1130337454. 2, 565168727 What are the prime factors of 7219183906? 2, 11, 223, 1471501 List the prime factors of 1008644436. 2, 3, 857, 32693 List the prime factors of 1021290036. 2, 3, 13, 1907, 3433 What are the prime factors of 2586916618? 2, 11, 13, 9045163 List the prime factors of 39578448. 2, 3, 7, 13, 17, 41 What are the prime factors of 851205275? 5, 23, 101, 14657 List the prime factors of 1038059436. 2, 3, 659, 131267 What are the prime factors of 19166439? 3, 1861, 3433 List the prime factors of 6813961. 7, 11, 88493 List the prime factors of 1796594017. 17, 105682001 List the prime factors of 3848387944. 2, 421, 1142633 List the prime factors of 15950209. 11, 1450019 List the prime factors of 41488501. 107, 387743 What are the prime factors of 67210210? 2, 5, 311, 21611 List the prime factors of 5972081954. 2, 1433, 2083769 List the prime factors of 186181355. 5, 1759, 21169 What are the prime factors of 192549977? 61, 3156557 What are the prime factors of 1417135610? 2, 5, 11, 2087, 6173 List the prime factors of 85327247. 67, 1273541 List the prime factors of 59537026. 2, 17, 43, 193, 211 What are the prime factors of 4620763695? 3, 5, 308050913 What are the prime factors of 1856837603? 281, 6607963 What are the prime factors of 56251219? 191, 294509 What are the prime factors of 2580078813? 3, 13, 67, 491, 2011 List the prime factors of 8852715138. 2, 3, 1475452523 What are the prime factors of 13672189? 23, 137, 4339 What are the prime factors of 1285198201? 7, 317, 579179 List the prime factors of 363758170. 2, 5, 149, 241, 1013 What are the prime factors of 141912844? 2, 233, 152267 What are the prime factors of 236412751? 233, 739, 1373 What are the prime factors of 16764681? 3, 5588227 What are the prime factors of 43074150? 2, 3, 5, 7, 41023 List the prime factors of 281867376
{ "pile_set_name": "DM Mathematics" }
83 = -p - j. Suppose -8*w = 3*w - p. What is the hundreds digit of w - 2555/(-20) - (-1)/4? 1 Let n(h) = 94*h - 126. Suppose 3*q + 5*g - 58 + 4 = 0, 5*q - 80 = -5*g. What is the hundreds digit of n(q)? 0 Suppose 2*h = -10*h - 324. Let x be (-36)/h + 15/9. Suppose z - 184 = -5*c - 2, x*c - 954 = -5*z. What is the hundreds digit of z? 1 Suppose 0*t - 4*t - 83880 = -3*v, 0 = -3*v - t + 83865. What is the units digit of (-24)/56 - v/(-28)? 8 Let i = -6900 + 14129. What is the hundreds digit of i? 2 Let p = 34 - 60. Let t = 0 + p. What is the units digit of 5/2 + (-13)/t? 3 Suppose 2*p = z + 177172, 3*p - 131144 = -3*z + 134605. What is the tens digit of p? 8 Suppose -3*s - 4*l - 3 = -4*s, 2*s = -2*l - 4. Let t = -183 - -347. What is the tens digit of (3 - s)*t/8? 8 Let w(j) = 3 - j - 2*j - 2*j + j - 8*j**2. Let f be w(1). What is the units digit of (f/15)/((-5)/1525)? 3 Suppose -9*o + 48 = 3*o. Suppose a + o*d + 238 = 1192, -4*a + d + 3765 = 0. What is the units digit of a? 2 Let r(q) be the second derivative of -q**4/2 + q**3/3 + q**2 - q. Let k be r(2). What is the tens digit of (-2)/9 + (-1264)/k? 7 Suppose -120 = -2*w - 22*w. Suppose 5*h + 1595 = w*q, -3*q - 3*h + 933 = -0*h. What is the hundreds digit of q? 3 Let z(t) = 127*t**2 + 1. Let j be z(1). Let s = 10 + j. Suppose l + 2*h = 8 + s, 0 = -4*h + 4. What is the hundreds digit of l? 1 Suppose 2*r - 4 = 4. Let g be 0/(((-16)/4)/r). Suppose 10*m - 173 - 1117 = g. What is the units digit of m? 9 Let n(w) = 3*w - 20 - w - 11 + 36 + 4*w**2. Suppose 42 = -5*s - s. What is the units digit of n(s)? 7 Let g be 7 + -7 - 209 - (-1 - 2). Let y = 499 + g. What is the units digit of y? 3 Let y(v) = 2*v**3 + 8*v**2 + 58*v - 33. What is the tens digit of y(14)? 3 Suppose 0 = -4*v + 5*x - 481, v - 118 = 2*v - 2*x. Let a = v + 805. What is the units digit of a? 1 Let c(a) = 2531*a + 617. What is the thousands digit of c(9)? 3 Let g = -1984 - -4573. Let i = g + -1816. What is the tens digit of i? 7 Let g be (54/(-21) - -2)*105/(-10). Suppose -4*z + 4*w = 4, z + 3*w - g*w + 7 = 0. What is the tens digit of 4/(-4 + z)*-1 + 253? 5 Suppose 24 = -6*q - 0. Let k = 109 + q. What is the tens digit of k? 0 Suppose 0 = -85*v - 31*v + 56770 + 2151986. What is the tens digit of v? 4 Let k = -22 + 1. Let q be 82 + 7/(k/(-9)). Suppose -2*m + q = -39. What is the tens digit of m? 6 Let r = -1081 + 765. Let b = r - -350. What is the tens digit of b? 3 Suppose 105 - 13 = 4*r. Suppose -r = -3*g + 76. Let i = g - -37. What is the tens digit of i? 7 What is the units digit of (50/6)/(((-1248)/(-273663))/32)? 5 Suppose 3*k = -3*n + 81534, -135866 = -130*k + 125*k + 3*n. What is the ten thousands digit of k? 2 Suppose -3*q - 18*o + 13*o + 28007 = 0, -2*o = 4*q - 37352. What is the units digit of q? 9 Let p(z) = 4*z - 28. Let c be p(8). Let w be (39/c)/(15/40). Suppose 3*r + f = -4*f + 28, -3*r - 4*f + w = 0. What is the units digit of r? 6 Suppose 4*q = 6 - 2. Let g be 3 - 1/(1/q). Let x = 33 - g. What is the tens digit of x? 3 Suppose 0 = -5*n + 3*x + 56, 2*n + x - 15 = 3. Suppose 0 = -3*u + i + 245, -n*u + 168 = -8*u + 4*i. What is the units digit of u? 2 Let n = -151 - -263. Let q = 300 - n. What is the units digit of q? 8 Suppose 13*o - 18427 = 50148. What is the thousands digit of o? 5 Let r(p) be the second derivative of -p**5/20 - p**4 + p**3/3 + 39*p**2/2 + 13*p - 1. What is the units digit of r(-15)? 4 Suppose -17*n - 89 + 4 = 0. What is the units digit of -1 - n - ((-12)/(-3) + -2)? 2 Let p = -94 - -148. Let j(c) = 32*c + 56 + p - 114. What is the hundreds digit of j(4)? 1 Suppose -4*s = -4*y - 8, s + 3*y + 10 = -2*y. Suppose -2*t - 2*t + 2*i + 934 = s, 457 = 2*t + i. What is the hundreds digit of t? 2 Let v be 54/216 - 2449/4. What is the tens digit of (v/(-9))/((-1)/(-2))? 3 Suppose -3*u - 2*o + 14 = -u, -2*u - 5*o + 17 = 0. Let v(f) = -u + 22*f**2 + 5 - 3*f + 2*f + 4. What is the tens digit of v(2)? 8 Suppose 4*s - 1240 = -3*y, -4*y + 4*s = 209 - 1881. Let p(q) = q - 3. Let j be p(10). Suppose 0 = 11*k - j*k - y. What is the units digit of k? 4 Suppose 45 = -5*x + 2*x. Let b be 6/8*40/x. What is the hundreds digit of (-15356)/(-55) + b/10? 2 Let k(x) = 8*x - 8. Let g(h) = 9*h - 8. Let q(s) = 3*g(s) - 4*k(s). Let u = 43 + -50. What is the tens digit of q(u)? 4 Suppose 3*m - 1046 - 592 = 0. Suppose 0 = 21*g - 7*g - m. What is the units digit of g? 9 Suppose -69 = 6*m - 879. Suppose -5*y + 6*y = -79. Let x = m - y. What is the units digit of x? 4 Suppose -4*z + 864 = q, 0 = 8*z - 4*z + 5*q - 864. Let k = z - -337. What is the hundreds digit of k? 5 Suppose -3*k = -5*w - 54074 - 33427, 5*k - 145909 = -4*w. What is the ten thousands digit of k? 2 Let o(j) = 330*j**2 + 34*j + 216. What is the hundreds digit of o(-8)? 0 Suppose 11*z + 1547 = 4968. Suppose -4*r - z = -99. Let d = r - -88. What is the units digit of d? 5 Suppose -73*b + 43*b + 114*b - 672 = 0. Let v be -2 + (-3)/(6/(-52)). What is the hundreds digit of b/(-6) - (-2696)/v? 1 Let r(u) = 2 - u**3 - 10*u + 6*u + 16*u**2 + 0*u**3 - 4*u**2. Let a be r(12). Let o = a - -186. What is the tens digit of o? 4 Let d(k) = -1752*k - 287. What is the hundreds digit of d(-3)? 9 Let p be ((-22)/(-4))/((-4)/(-8)). Suppose -p*a + 21*a - 3190 = 0. What is the tens digit of a? 1 Let f(h) = 86*h**2 + 6*h - 11. Let w be f(7). Suppose -w = -17*a + 3949. What is the units digit of a? 2 Let l be (-224)/36*-3*15/(-2). Let v = -477 + 732. Let k = v + l. What is the units digit of k? 5 Suppose -5*f - 3*d + 57 = 0, 2*f = -0*f - 4*d + 34. Suppose 5*q - f*q = 16. Let i(g) = -5*g - 19. What is the units digit of i(q)? 1 Suppose -2*q = 0, 736*q + 22556 = 4*h + 734*q. What is the tens digit of h? 3 Suppose 5*v - 93 - 82 = 0. Let b be -7*((-50)/v + 4). Let m = b + 22. What is the units digit of m? 4 Let o = 11 + -9. Suppose -o*l - 3*x + 135 = 0, 3*x + x - 202 = -3*l. Suppose l = -2*k + 4*k. What is the units digit of k? 3 Let g(w) = -11*w - 28. Let s be g(3). Let z(v) = 12*v**2 + v - 4. Let y be z(3). Let j = s + y. What is the units digit of j? 6 Let i(p) = -17*p + 255. Let d be i(-25). Suppose -32*c + 33*c - d = 0. What is the units digit of c? 0 Suppose -8*g + 100 + 124 = 0. Suppose -a + 23490 = g*a. What is the hundreds digit of a? 8 Let c(u) = 270*u + 219. Let k(x) = 27*x + 22. Let d(a) = 2*c(a) - 21*k(a). Let n be d(-13). Suppose -3*f = -6*f + n. What is the tens digit of f? 0 Let r(g) = -g**2 + 16*g - 24. Let o be r(6). What is the hundreds digit of (-3)/o*2 + 24855/90? 2 Suppose -81 = 3*d - 102. Suppose -2*n + d = -45. What is the tens digit of n? 2 Let l(t) = 621*t + 292. What is the thousands digit of l(12)? 7 Let s = -6936 - -6938. Suppose 5*o + 3*j = 430, 3*o + 5*j - 430 = -2*o. Suppose 0 = v + 3*g - 138, -s*g + 493 - o = 3*v. What is the units digit of v? 5 Let t = 25 + 4908. What is the tens digit of t? 3 Let u(r) be the first derivative of -11*r**2/2 + 23*r - 28. What is the tens digit of u(-4)? 6 Suppose 4*n - 20*n = -110112. What is the tens digit of n? 8 Let d(u) = 3624*u**2 - 87*u + 443. What is the thousands digit of d(5)? 0 Suppose -4*u + 2*m = -3*m - 4655, 0 = u + 2*m - 1180. Suppose -5*q + u + 10 = 0. Let j = q - 142. What is the units digit of j? 4 Let u(g) = -g**3 - 8*g**2 - 8*g - 11. Let c be -7 + 50/7 - 78/7. What is the hundreds digit of u(c)? 4 Suppose 2*o = -5*r + 3, -3*o + 4*r = 61 - 8. What is the tens digit of ((-33)/(-6))/o*-108? 5 Suppose -595503 = -68*m + 472369. What is the thousands digit of m? 5 Let o be ((-8)/(-2) - 9)*-1. Suppose 5*f - 3*c = -233, -4*c + 67 = -o*f - 167. Let n = f - -47. What is the units digit of n? 1 Let a(w) = 69*w - 1. Let y be a(-1). Let i = 277 - y. Suppose -7*m = -i + 88. What is the tens digit of m? 3 What is the units digit of ((-6)/(-18))/(11/78309)? 3 Let g(b) = b**2 + 48*b + 1932. What is the hundreds digit of g(0)? 9 Let t(u) = -23*u**2 - 4*u - 57. Let v be t(8). Let w = -1016 - v. What is the hundreds digit of w? 5 Let b = -145 + 75. Let m = b - -75. Let r(z) = 2*z**2 + 3*z + 20. What is the units digit of r(m)? 5 Let o(v) = 3 - 86*v - 2 + 420*v. Let h be o(1). Suppose d = -4*b + 42, 5*d - h = 4*b + b. What is the units digit of d? 2 Let p be (2/(-4) - 447/18)*-9. Suppose -8*o - p = -5*o. Let l = 113 + o. What is the un
{ "pile_set_name": "DM Mathematics" }
*g. Let x be n(f). Solve 0 = 4*m + 5*t - 5, 5*m - x = -2*t - t for m. 0 Suppose -4*j + 6 + 94 = 0. Let w be (-36)/(-10)*j/10. Solve -5*b - 2*s + 1 = -6*s, 4*b + 5*s - w = 0 for b. 1 Let n(c) = -c**3 + 3*c**2 - 2*c + 2. Let g be n(2). Solve -2*s + 12 = g*r, 4*s = -r - 2*r + 21 for r. 3 Suppose -2*k + 3*c + 2 = 0, k - 5*k + 4*c = 0. Let p be ((-56)/16)/(k/4). Suppose 2*l - p*l = -30. Solve 0 = -3*w + 4*y + l, -w = 2*y - y + 5 for w. -2 Suppose 3*a = 4*a - 5*z - 12, z + 12 = 5*a. Solve -3*o = 5*s + 4, 2*s - a*o + 10 = -s for s. -2 Let i(l) = -2*l. Let b be i(-6). Suppose -132*x = -133*x + 2. Solve -w = -2*z - 5*w - b, -3*z - 2*w = -x for z. 4 Suppose 2*l = -3*l + 20. Suppose -u + 3*j - 5 = 2, -2*j = 5*u - 50. Suppose 3*n = -n + u. Solve b = 3*p + 10, 5*p - n = -b + l*p for b. 4 Suppose 3*g - 3*l - 33 = 0, 4*g + 3*l + 0*l = 44. Solve d - g = -4*o, -4*d - 4 = -0 for o. 3 Let s(f) = f**2 - 6*f - 13. Let c be s(8). Solve -5*r + c*d + 15 = 0, -4*d = -r + 6 - 3 for r. 3 Suppose -3*x - m = -44, 3*x = -0*m + 4*m + 49. Solve 3*q - x = b, -q - 2*q + 3*b = -21 for q. 4 Suppose -x + 2*u = -30 + 4, -4*x - 4*u + 56 = 0. Let p be 26/7 + 8/28. Suppose o = p*o - 6. Solve 9*d + 35 = -5*n + 4*d, -o*d = 4*n + x for n. -2 Let m(j) = -3*j + 12. Let s be m(3). Suppose -2 = -2*a + 2*d + 4, -2*a + 6 = 3*d. Let k = a - s. Solve -2*u = x - 4, k = 3*x + 2*u + 3*u - 9 for x. -2 Suppose 0*x + 20 = 2*k + 5*x, 3*k + 4*x = 16. Let l be (2 - 5) + (k - -18). Solve -4*u + m - 15 = 2*m, 3*m = l for u. -5 Let x be 10/4 + (-2)/4. Let h be 1/(x/10) - 2. Let s = 6 - h. Solve -k = 2*t + 4, -t + 2 = -s*k + 3*t for k. -2 Let f(q) = q**3 - 8*q**2 + 7*q + 4. Let u be f(7). Solve -3*z - s = 2*s - 9, 3*z - 7 = -u*s for z. 5 Let v(s) = 16*s**3 + 1. Let a be v(1). Let p = -14 + a. Suppose -5*z + 3*f = -24 - 2, -20 = -3*z + 4*f. Solve 4*t - z*c = -4, -4 = 4*t - p*c + 1 for t. -2 Let c = 34 + -27. Solve -5*b + 2*p = -3*p + 10, 0 = -3*b + 2*p - c for b. -3 Let n be 14/3 - ((-20)/(-12) - 2). Solve n*w = -4*q + 3 - 4, 3*q - w = 4 for q. 1 Let x(r) = -19*r**3 + r**2. Let q be x(1). Let l = -13 - q. Let j = -14 + 24. Solve 2*o + j = -4*z, -3*z + l = z + 5*o for z. -5 Suppose k + 0*r + 5*r = 22, 4*k - 3*r + 4 = 0. Let s(q) = -q**2 + 6*q - 3. Let m be s(5). Suppose -3 = -m*p + p. Solve t - 3*w = k*w, 0 = 5*t - p*w + 22 for t. -5 Suppose 19 - 3 = -4*r. Let k = 7 + r. Suppose -b - k = -p, -p - 2*b + 0 = -6. Solve -5*m - 1 = p*g, m + 5 = -3*g + g for m. 3 Let l(b) = b**2 - 4*b + 4. Let i be l(4). Solve v + 3*k = -8, 4*v + 3*k - 20 = i*k for v. 4 Let t = 24 + -21. Solve -h + 6*h = -4*m, -15 = t*m for h. 4 Let o(u) = -u**3 + 8*u**2 - 8*u + 9. Let b = -4 + 2. Let r = b + 9. Let y be o(r). Solve 4*l - 3*w + 35 = 0, -2*l - y = 3*w - 7 for l. -5 Let w = -9 + 18. Suppose 4*c = x + 2*x + 12, 0 = -3*c + 2*x + w. Suppose 2*o - 2*r - 4 = o, 0 = 3*r + c. Solve -4 = 2*n - 2*v + 4*v, -3*n = -v - o for n. 0 Let d be 4/6 + (-22)/(-3). Suppose 0*y = -4*y - 24. Let x be 1/2 + (-9)/y. Solve 3*i + 3*n = d*i + 19, 11 = -3*i + x*n for i. -5 Suppose -5*n = 2*c + 11, -c = n + n + 4. Let b be 1/(4/52) - n. Solve o + 9 = -2*z, 0 = 4*o + 2*z + 2*z + b for o. 1 Let x be (-1 - 0 - -1)/2. Suppose -3 = 2*w + 1, -5*w + 6 = 4*r. Suppose 5*k - 5 = r*k. Solve k*c + 15 = x, 0 = h - 0*c + c + 1 for h. 2 Suppose -5*g = -3*q - 75, g + 3*g - 58 = 2*q. Suppose -8*c - g = -12*c. Solve 2*w = 5*z - 19, 2*w + z - c + 4 = 0 for w. -2 Suppose 4*a + 5*m - 45 = 0, 2*a - 5*m + 21 - 6 = 0. Let v(b) = -b + 5. Let h be v(a). Solve 5*i + 4*u - 17 = h, -4*i - u = 4 - 11 for i. 1 Let a = -17 - -19. Solve -f - 5*v = -17, 5 = -4*f + a*f + 3*v for f. 2 Suppose 0 = 37*w - 42*w. Solve w = 3*f - 2*l - 5, f + 0*l + 7 = 5*l for f. 3 Let p(f) = -f**2 + 4*f + 4. Let n be p(9). Let v = 57 + n. Let i be 4 - (-1 - (0 - 0)). Solve -t = -i*z - v, 2*t + 5*z = t - 24 for t. -4 Let y be (-4)/((-16)/80 + 9/(-5)). Solve 21 = -2*n - 3*h, 2*h = -0*n - y*n - 16 for n. -3 Let h = -8 + 13. Suppose 7 + 40 = 4*q - 5*c, 0 = -q - 4*c - 4. Solve -f = -w + q, h*w - 28 = -0*f + f for w. 5 Let h(q) = -q - 1. Let k be h(-3). Suppose 2 = -k*i, -3*i = -2*c + 1 + 2. Solve 4*r = v + 9, -r + v + 6 = -c*r for r. 1 Let h(f) = 7*f - 13. Let j be h(2). Solve j = 3*q - 4*w - 2, -q - w = -1 for q. 1 Let i be (-2)/(-2) - (4 - 28). Suppose 1 + 17 = 3*c. Suppose -c*n + i = -n. Solve 6*r + 3*u = 3*r + 21, 3*r = n*u - 11 for r. 3 Suppose b = 4*b - 12. Solve -10 = 3*p - p - b*y, -5*p - 2*y = -35 for p. 5 Suppose 3 = -2*f - 3*o, 0 = 4*f - 2*o - 8 - 10. Suppose -2*w + 1 = -7, 18 = 2*l + 3*w. Solve -x - 13 = y + 3*y, -3*x - f = l*y for x. 3 Let p = -4 - -8. Suppose -7 + 28 = w + p*s, -5*s + 40 = 4*w. Solve 2*o = -5*y - 2*o + 30, -o = -w for y. 2 Let g be (1 + 1)/((-3)/(-60)). Suppose -2*u + g = 2*k, 0*k - 3*u = -k + 8. Solve 3*m + 4*j - k = -j, -m - j + 3 = 0 for m. -1 Suppose -4*b = -5*c + 2*c - 34, 4*c + 29 = 3*b. Solve 20 = 4*j + b*k - 3*k, k = 3*j - 7 for j. 3 Let z(y) = -y**3 + 10*y**2 - y + 11. Let v be z(10). Solve -2*k - 4*j + 16 = 0, 5*j - 14 = v for k. 2 Suppose -j - 33 = -4*l, 4*l + 0*j + j = 23. Suppose 11*n = l*n. Solve -s = 2*b - 1 - 0, n = 4*b + 5*s - 17 for b. -2 Suppose 0 = -5*s + 5*h + 10, -s = h - 6. Solve 7*g - s = 3*g, -24 = 5*m + g for m. -5 Suppose 2*r = 7*r - 20, r + 2 = 2*i. Suppose -5*g = -0*g - 15. Solve -6*y + 3*y + 18 = -i*x, g*y + 3 = -4*x for x. -3 Suppose 7*m - 3*m = 0. Suppose m = -3*o + 9 + 3. Solve -3*b = v - b - 5, -o*b = -12 for v. -1 Suppose -4*r + 18 = -o, -2*r - 4 = -5*r - 4*o. Suppose r*x = -194 + 26. Let a = 60 + x. Solve -2*b + 0 = l + 10, -3*l = 2*b + a for l. -4 Let p(c) = 6*c + 4. Let s be p(-4). Let h be (1 - 5)*s/16. Solve -h*v = -2*q - 28, 0*q - 5*v + 32 = -3*q for q. -4 Let r be (-9)/(-18) + (-7)/(-2). Solve -4*o + 18 = x + r*x, -2*x - 2*o = -8 for x. 2 Let q = 3 - -1. Solve 5*h - 4*a = h + 4, -22 = 5*h + q*a for h. -2 Let s(y) = -3*y + 5*y + 6 + y - 2*y. Let g be s(-3). Let x be (-7)/(-3) - g/9. Solve 5*a = x*f + 7, -2*a - 1 = -3*f + 5 for f. 4 Let b(d) = -4*d + 30. Let w be b(7). Solve 0 = -w*s, -p - s = -4*p - 3 for p. -1 Let b(d) = d + 9. Let g(o) = -o**3 - 9*o**2 + 11*o + 3. Let f = -22 + 12. Let t be g(f). Let z be b(t). Solve 4*w - 3*l = -10, 0 = -w - w + z*l - 6 for w. -1 Let z be 3*(-1 - 1)/1. Let y(i) be the third derivative of -i**4/24 - 2*i**3/3 + i**2. Let c be y(z). Solve 4*u = c*p - 4, 4*p - u = -0*p - 13 for p. -4 Let y(x) = -5 - 1 + x - 1. Let h be y(6). Let b be -2 + (0 - h) + 1. Solve -p - 4*p - 3*j + 8 = b, 0 = -2*p - 2*j + 4 for p. 1 Suppose -8 = -u + 3*u. Let q(k) = -k**3 - 4*k**2 - 2*k - 6. Let g be q(u). Solve -2*f + f + 2*o = 0, 3*f - 16 = -g*o for f. 4 Let i(n) = -2*n + 1. Let p(z) = -z**2 + 2*z - 3. Let d be p(2). Let t be i(d). Suppose -t = -3*l + 41. Solve -2*f - l = -f + 3*j, 20 = -2*f - 3*j for f. -4 Suppose 23 = 16*c - 9. Solve 3*t - 4*g = 15, 5*t + c*g = -0 - 1 for t. 1 Let l(r) be the third derivative of r**4/24 + r**3/3 - 3*r**2. Let f be l(8). Solve -3*a - 15 = 3*q, 0 = 4*q + 2*a + 10 + f for q. -5 Let w(t) = -t**3 - 7*t**2 - 5*t + 8. Let f be w(-6). Let d = -8 + 5. Let v be (8 - 3/1) + d. Solve 0*q - 17 = f*x - 3*q, 3*x = v*q - 18 for x. -4 Let x = 18 - 0. Suppose -r - r = x. Let b be r/((18/(-4))/3). Solve b = -4*d + 5*n, -n = d + 4*n + 14 for d. -4 Suppose j + 22 = 2*j. Solve 4*m = -3*f + 1, j - 4 = -3*m + 4*f for m. -2 Let r(a) = a**2 + 1. Let s(p) = 8*p**2 - p + 10. Let j(u) = 22*r(u) - 2*s(u). Let d be j(-1). Solve d = 2*k - o - 3*o, -3*k - 23 = 2*o for k. -5 Suppose t - 12 = -3*p, -4*p + 7 = 3*t - 4. Let d = t + 9. Solve 3*r + 5*b = 22, -3*r + 5*b - d = 22 for r. -1 Suppose -4*g = 26 - 2. Let i = -14 - -1. Let d = g - i. Solve -4*m + d = 3*y - 4, -5*m = 3*y - 16 for m. 5 Let i be (-1)/(-3) + (-105)/(-9). Let k = 0 + i. Suppose -7*p = -4*p - k. Solve 0 = -p*u, -f - 5*u - 9 = 2*f for f. -3 Let c(n) = 4*n**2 + n. Let x be c(1). Solve 5*k = s - 22, 3*s - x*s + k = 1 for s. -3 Let x = -31 - -11. Let v = -16 - x. Solve 10 - v = -5*f + 3*w, 0 = -4*f - w + 2 for f. 0 Let t be (101 - 102)*(-5 - 0 - 0). Solve -2*q = 2, -3*q + 4 = -3*d - t for d. -4 Suppose -3*s - 2*v = v - 3, -2*s + 2*v + 6 = 0. Solve -3*t = s*x - 1, -5*x = t - 12 + 29 for x. -4 Let i = -10 + 14. Solve -o + 21 = 5*m - m, 0 = -i*o - 2*m + 14 for o. 1 Let o = -19
{ "pile_set_name": "DM Mathematics" }
m(p) = -p**2 + 1. Let c be m(-1). Suppose -3*y + 12 + 0 = c. Suppose -23 = -y*l + 5. What are the prime factors of l? 7 Let l(d) be the first derivative of -d**3/3 + 2*d**2 + d + 2. List the prime factors of l(3). 2 Suppose 2*u = -z + 7*u + 13, -3*u - 63 = -3*z. Let q = 25 - z. What are the prime factors of q? 2 Let f(c) = -c**3 + c + 4. Let v be f(0). Let n = -62 - 4. List the prime factors of v/14 - n/14. 5 Let j = 148 + 21. List the prime factors of j. 13 Let g be -1*(-1 - -2 - 1). Suppose -t + 4*t + 15 = g. Let w = 0 - t. What are the prime factors of w? 5 Suppose -u - 5*i = -12, 2*u = i - 5*i + 12. Let w = u - -12. List the prime factors of w. 2, 7 Suppose 0 = -3*b + 6*b + 4*m + 68, -5*b - 75 = -m. Let u = 18 + b. What are the prime factors of u? 2 Let b = -59 + 66. Suppose 6*t - 16 = 5*t. Suppose 3*c = b*c - t. List the prime factors of c. 2 Let j be 0 + (-1 + -2 - -5). Suppose 2*u + 9 = 3*b, 3 = 4*b - 3*b - j*u. Suppose -5*m = -25, b*m - 32 = -k - 0*k. List the prime factors of k. 17 Suppose -3*s = -0*s + 6. Let i = s - -5. Suppose 20 = -4*p, -5*b - i*p = -7*p - 35. What are the prime factors of b? 3 List the prime factors of ((0 - 1) + 2)*23. 23 Suppose -5*w = -3*i - 12, 4*i = w - 4*w + 13. Let g = -1 + i. List the prime factors of -1 - (1 + -10) - g. 2 Suppose 111 = -3*h - 267. Let c = -86 - h. What are the prime factors of c? 2, 5 Let p be (2 + 4/16)*-4. List the prime factors of p/(-3) + (20 - 0). 23 Let s be (2 - (2 + -3)) + -3. Suppose -m + 4 = -r - s, 4*r = 2*m - 12. List the prime factors of m. 2 Let a(v) = -2*v**3 + 5*v**2 - 5*v - 5. Let g(z) = z**3 - 5*z**2 + 4*z + 4. Let o(x) = -2*a(x) - 3*g(x). List the prime factors of o(-5). 2 Let i = -37 - -55. Suppose 0*a - 2*a + i = 0. What are the prime factors of a? 3 Let p(x) = -x**3 + 9*x**2 - 8*x + 4. Let o be p(8). Suppose 4*j - 2*j = -o*h + 32, 3*h - 38 = -5*j. List the prime factors of h. 2, 3 Let b = -24 + 28. What are the prime factors of b? 2 Let q be 6 - 6 - (-3 + 0). Let v(d) = -4*d + 3*d + q*d**2 - d. What are the prime factors of v(-2)? 2 Suppose -45 = i - 2*i. List the prime factors of i. 3, 5 Suppose 4*k - 12 = -2*k. Suppose -k*j = -6*j + 64. List the prime factors of j. 2 Let p be ((-6)/(-8))/(1/4). Let d = 111 + -205. List the prime factors of d/(-8) + p/(-4). 11 Suppose -7*j = -6*j - 4. Suppose -j = -l - 3. Suppose -13 = 5*a + 3*f - 40, a = f - l. What are the prime factors of a? 3 Let a = -4 + -41. Let m = a - -65. Suppose m - 48 = -4*q. List the prime factors of q. 7 Let w = 13 + -4. Let z be ((-6)/w)/(4/(-30)). Suppose -3*q + 2*q = -z. List the prime factors of q. 5 Let q be 3*(-3 + 1)/(-2). Suppose -q*k + k = -4*v - 58, -5*k = -2*v - 121. What are the prime factors of k? 23 Suppose 2*d = g - 260, -d = 4*g - 0*d - 1031. List the prime factors of g. 2, 3, 43 Suppose 2*u = 2, 3*c - 2*u - 150 = -c. What are the prime factors of c? 2, 19 What are the prime factors of (-15)/(-6) - (-3)/2? 2 Let w = 94 + -38. List the prime factors of w. 2, 7 List the prime factors of (-1476)/(-30) - 8/(-10). 2, 5 Suppose -4*d - 2 = b, -4*d = 3*b + d - 8. List the prime factors of (-590)/(-40) + b/(-8). 2, 7 Let q(o) = -o. Let r be (-9)/(-2)*24/9. Suppose -r = 4*n + 12. List the prime factors of q(n). 2, 3 Let x(u) = -u**3 - u**2 - u. Let n be x(-1). Suppose n - 9 = 2*w - 4*a, -5*w - 3*a + 45 = 0. What are the prime factors of (-17)/(-2) - (-9)/w? 2, 5 Let w(u) = -u**3 - 3*u**2 - u. List the prime factors of w(-3). 3 Let u(l) = l**3 + 12*l**2 - 4*l - 18. Let g(f) = f**3 - 7*f**2 - 10*f + 4. Let z be g(8). What are the prime factors of u(z)? 2, 3, 5 Let h = 4 - 4. Suppose -c - 4*c + 45 = h. What are the prime factors of c? 3 Let b(m) = m**3 + 7*m**2 - 2*m - 5. What are the prime factors of b(-4)? 3, 17 Let m(b) = 2*b - 4. Let v be m(8). Suppose 2*o + o = v. List the prime factors of o. 2 Let m(y) = y**2 - 20*y + 19. Let c be m(19). Let z = 72 - 47. Suppose c = -5*p - z, -4*v + 5*p + 65 = -0*p. List the prime factors of v. 2, 5 Suppose 8 + 85 = 3*d + 2*f, -f = 0. Let l = d - 13. Suppose 0 = -2*a - 3*i + l, 5 = 4*i - 3. List the prime factors of a. 2, 3 Suppose 101*c = 103*c - 284. List the prime factors of c. 2, 71 Let x(k) = -k**2 + 6*k + 10. Let r be x(7). Suppose 8*j + 295 = r*j. List the prime factors of j/(-5) + 2/10. 2, 3 Suppose -3*k + 9 = 0, 2*m = m + 3*k. List the prime factors of m. 3 Let d(l) be the second derivative of l**5/20 - l**4/6 + l**3/6 + 2*l**2 + l. Let z(x) = x**3 + 6*x**2 + 5*x + 3. Let w be z(-5). List the prime factors of d(w). 2 Suppose 0*v = 4*v - 180. What are the prime factors of v? 3, 5 Suppose -5*x = 2*z - 21, -5*z + 30 = 5*x - 0. Suppose -13 = -l - l + 3*p, 4*l = x*p + 23. What are the prime factors of l? 5 Suppose -184 = -5*i - 64. List the prime factors of i. 2, 3 Let l(w) = w + 8. Let t be l(-7). Suppose 5*p - 4*p = -t. Let n = 18 + p. What are the prime factors of n? 17 List the prime factors of (-13)/26 - 111/(-2). 5, 11 Suppose 1 = -0*q - q. Let l(f) = -f - 1. Let x(h) = -11. Let o(v) = q*x(v) - l(v). List the prime factors of o(-8). 2 Let a(l) = -l**2 + 18. What are the prime factors of a(0)? 2, 3 Let n(j) = -j**3 + j**2 - 2*j + 1. What are the prime factors of n(-2)? 17 Suppose u = 6 + 3. Let x(a) = -2*a + 9 + a + 2*a + 4. List the prime factors of x(u). 2, 11 Let f be 6/8 + 10/8. Suppose u - 24 = f. What are the prime factors of u? 2, 13 Let d(o) = -o**2 + o - 2. Let h be d(0). Let n(a) = -2*a**3 - 3*a**2 - 3*a - 1. List the prime factors of n(h). 3 Suppose 0 = -3*t + 6*t - 240. Suppose 3*f + 1 = 2*i - 37, -4*i + t = -4*f. List the prime factors of i. 2, 11 Let a = -55 + 148. What are the prime factors of a? 3, 31 Let o = -73 - -232. List the prime factors of o. 3, 53 Suppose 4*y = 2*k - 14, -7 = 3*k + 2*k + 4*y. What are the prime factors of -1 - k - (3 + -16)? 11 Let s = -12 + 14. Let p be 1/2 - (-58)/4. Suppose g = -s*g + p. List the prime factors of g. 5 Let f = 26 - 16. Suppose 0*b = b - f. What are the prime factors of b? 2, 5 Let j be (331 - 3)/2 - -2. Suppose 2*a = 6*a - 2*i - j, -i = -3*a + 122. What are the prime factors of a? 3, 13 What are the prime factors of 10/1*-1*62/(-4)? 5, 31 Suppose 0 = -7*q + 9*q - 6. What are the prime factors of q? 3 Suppose 2*s - k = 4*k + 148, -3*k = 12. What are the prime factors of s? 2 Let j(u) = u + 7. What are the prime factors of j(7)? 2, 7 Suppose -c = -11 - 4. Let u = c + -4. What are the prime factors of u? 11 Let x(j) = 4*j - 1. Let f be x(4). Let h be f/(-2)*(-12)/15. Suppose 2 = -d + h. What are the prime factors of d? 2 Suppose -2*z - z - 2*k + 52 = 0, -z = -k - 14. Let h = -5 + z. What are the prime factors of h? 11 Let v = -6 + 8. List the prime factors of v. 2 Let o(t) = -t**2 + 15*t - 6. Let u be o(5). Suppose 0*s = 2*s - u. What are the prime factors of s? 2, 11 Suppose 6*d = d + 3*f + 158, -26 = -d - 5*f. What are the prime factors of d? 31 Suppose 3*s - 3 = w, -3*s - w = -s - 7. Suppose 2*q + s*q = 120. List the prime factors of q. 2, 3, 5 Suppose 0 + 18 = 3*r. Let k be 25/15 - (-2)/(-3). What are the prime factors of k*r*(-3)/(-6)? 3 Suppose 7 = -4*v - 5*h, 4*h = -h - 15. List the prime factors of 4/(-8) - (-29)/v. 2, 7 Suppose -4*y - 5*t + 830 = 0, t + 3 - 1 = 0. What are the prime factors of y? 2, 3, 5, 7 Let b(a) = a**3 + 2*a**2 - 3. Let f be b(-3). What are the prime factors of ((-63)/f)/(18/96)? 2, 7 Suppose 0 = -u - 4*s + 25, u - 3 = 3*s - 13. Suppose 4*g + 0 = 4*c + 40, 0 = u*c - 20. What are the prime factors of g? 2, 7 List the prime factors of (-9)/(-18) + (-2)/(8/(-526)). 2, 3, 11 Suppose 0 = -3*h + 5*h. Suppose 0 = -2*a - h*c - 2*c + 46, 0 = -a - 5*c + 19. What are the prime factors of a? 2, 3 Let z(p) = -p**3 + 5*p - 1. Let u(o) = o**3 - o**2 - 5*o. Let l(t) = -4*u(t) - 3*z(t). Let h be l(5). Suppose 30 = -0*d + h*d. List the prime factors of d. 2, 5 Let q = 2 - 3. Let l be 24/(2 - (-1)/q). Suppose -2*x = -t + 3*t, l = 4*t - 4*x. List the prime factors of t. 3 Let x = -4 + 6. Let r be (-28)/8 - 1/x. What are the prime factors of (-30)/r*(-8)/(-6)? 2, 5 Let q be (-3)/((-1)/(-1)) + 0. Let o = q + 7. Suppose -i = -5*a + 15, a - o*i = -a - 12. List the prime factors of a. 2 Let c(y) = 2*y + 2. Let b(h) = 3*h + 3. Let q(r) = -4*b(r) + 5*c(r). Let i be q(-3). Suppose -i*x +
{ "pile_set_name": "DM Mathematics" }
s m rounded to the nearest 100000? 1000000 Let t be 2/(-6) - 85944855/(-9). Let w = 32450572 + t. Let c be 0 + w/(0 - 3). Round c to the nearest 1000000. -14000000 Let h = 63 - 62.999974. Round h to 5 dps. 0.00003 Suppose 2*s - 4 = -0. Let j be (1/(-2))/(s/936). Let t be j/((-3)/1)*-5. What is t rounded to the nearest 100? -400 Let x be 0/(-2) + 37 + 0. Suppose -61 - x = p. Round p to the nearest 10. -100 Suppose -a + 4 + 2 = 0. Suppose -a*v + v = -530. Round v to the nearest 10. 110 Let n = 47925.47923 + -47925. Let y = 29.52 - 30. Let d = n + y. Round d to 4 decimal places. -0.0008 Let m = -266 + 266.119. What is m rounded to two dps? 0.12 Suppose j - 16232003 - 12518881 = 0. Suppose -j = 5*s + 3*y, -4*y = -5*s + y - 28750900. Let u = 8350178 + s. What is u rounded to the nearest one million? 3000000 Let s = -2.002 + 2. Let c = -0.00200047 - s. What is c rounded to 7 dps? -0.0000005 Let d = -20 + 19.99972. What is d rounded to four decimal places? -0.0003 Let k(b) = -730*b + 4. Let v(n) = -731*n + 4. Let f(h) = -4*k(h) + 3*v(h). Let c be f(4). Let d be c + -4 - (1 + -1). Round d to the nearest one thousand. 3000 Let z = 1659598 + -14059598. Round z to the nearest one million. -12000000 Let q = 15 - -24. Let o = 40.48 - q. Let f = o - 2.59. Round f to one dp. -1.1 Let n = 9574.00004 + -9573. Let j = 1 - n. What is j rounded to 4 dps? 0 Let r(s) = 2*s**3 + 13*s**2 - 13*s - 10. Suppose 7 + 1 = -y + l, 4*l = -12. Let b be r(y). Let f = b - -516. What is f rounded to the nearest one hundred? -400 Let g = -84354 + 84266.961. Let s = g - -87. Round s to two dps. -0.04 Let n = -125877 - -4425877. What is n rounded to the nearest 1000000? 4000000 Let s = 20.39 - 20.5037. Let n = s - -0.1. Round n to 3 dps. -0.014 Let k = -0.012 - 0.01. What is k rounded to two decimal places? -0.02 Let j = -5000.039984 + 5000. Let x = j - -0.04. What is x rounded to five dps? 0.00002 Let x = -282.213 + 282.2682406. Let m = x - -0.0347608. Let o = 0.09 - m. Round o to 6 dps. -0.000001 Let k = 1.0999984 - 1.1. Round k to 7 decimal places. -0.0000016 Let r = -694447 - -99447. What is r rounded to the nearest 100000? -600000 Let s(k) = -k + 6. Let a be s(4). Suppose -n + 14 = -a*n + 3*w, -4*n + 3*w = 11. Let j be 71/(-2 + 2 + n). What is j rounded to the nearest 10? 70 Let k = 70384 - 105084. Round k to the nearest 10000. -30000 Suppose -k + 8 = 3*k. Suppose 2*o - k*r = 362, -3*o + 110 + 432 = -2*r. Suppose i - o = -i. What is i rounded to the nearest ten? 90 Let j = 13 + -12.99504. Round j to 3 decimal places. 0.005 Let w = 0.0255 - 0.016. What is w rounded to three decimal places? 0.01 Let v = 0.5 - 22.5. Let r = 9 - v. Let b = r + -31.00042. Round b to four dps. -0.0004 Let c be -132001 + 1 + 1 + -1. What is c rounded to the nearest 10000? -130000 Let u be 4645*(1 - (-117)/15). Suppose -7*q + u = -5*q. Suppose -4*z + 151562 = -q. What is z rounded to the nearest ten thousand? 40000 Let n = -1333 - -934. What is n rounded to the nearest 10? -400 Let p = -12221219.1191366 + -1.8808634. Let r = p + 12221218.9999916. Let k = -2 - r. What is k rounded to 6 decimal places? 0.000008 Let a = 90775838.999926 - 90775762. Let d = 25 + 52. Let m = d - a. Round m to 5 dps. 0.00007 Let v = -4.96 - 0.04. Let y = v + 6.5. What is y rounded to the nearest integer? 2 Let l(b) be the first derivative of 9839*b**4/4 + 4*b**3/3 + 5*b**2/2 + 1. Let m be l(5). Suppose 0*d - 3*d = -m. Round d to the nearest 100000. 400000 Let f = -0.16 - 0.12. Let q = f + 0.2799911. Round q to six dps. -0.000009 Let m = 106 - -136. Suppose 2*v + 5*i = i - m, 4*v + 5*i + 478 = 0. Round v to the nearest ten. -120 Let h = 3.3 + -3.3000017. Round h to six dps. -0.000002 Let w be 4/(5/5) + -6604. What is w rounded to the nearest 1000? -7000 Let i(k) = -3*k**3 - 2*k**2 - 6*k - 5. Let p be i(5). What is p rounded to the nearest 10? -460 Suppose 4*q - l + 2*l + 34 = 0, -3*q - 2*l = 28. Let t = q - -61. What is t rounded to the nearest ten? 50 Let s(g) be the second derivative of -24001*g**4/12 - 2*g**3/3 + 5*g**2/2 - 2*g. Let a be s(-5). What is a rounded to the nearest 100000? -600000 Let b = -514055900.40000062 - -514055894. Let m = -6.4 - b. Round m to 7 decimal places. 0.0000006 Suppose -4*c + 563401 + 148679 = 0. Suppose k = p - 89004, -p + 5*k = p - c. What is p rounded to the nearest 10000? 90000 Suppose 7450 = q + 4*y, 5*y = 3*q - 8*q + 37250. Let b be (-16)/20*q/4. Round b to the nearest one hundred. -1500 Let t be 10488/(-19) + 1*2. Round t to the nearest 100. -600 Let o = -61 + 60.99865. Round o to 4 decimal places. -0.0014 Let i(t) = 2865*t - 20. Suppose 0 = 2*q - 4*k + 4, -3*k + 55 = 5*q - 0*k. Let y be i(q). What is y rounded to the nearest one thousand? 23000 Let k(o) = -30468*o**2 - 3*o - 24. Let c be k(8). What is c rounded to the nearest one hundred thousand? -2000000 Let s = -359602082.50000023 - -359602084. Let p = -1.5 + s. What is p rounded to seven decimal places? -0.0000002 Let z = -19 - -19.0008. What is z rounded to four dps? 0.0008 Let r = 380503 + -380502.8500085. Let n = 0.15 - r. What is n rounded to six decimal places? 0.000009 Let o = 22.9 + -24.23. Let n = o - -1.32894. Round n to 4 decimal places. -0.0011 Let f = -176.1 - -186. Let w = f + -9.900114. Round w to 5 decimal places. -0.00011 Let g = -74.086 - -74. Let u = 0.51 + -0.6. Let s = u - g. Round s to 2 dps. 0 Let p = -161 - -161.0083. What is p rounded to three dps? 0.008 Let u(r) be the second derivative of -12500*r**3 + 2*r. Let h be u(-6). What is h rounded to the nearest 100000? 500000 Let q = 5.2 + -1. Let i = q + -4.171. Round i to 2 dps. 0.03 Let v = -0.087 - 36.913. Let k = 2229167 + -2229204.00127. Let j = k - v. What is j rounded to four decimal places? -0.0013 Let p = 68.1 - 51.34. Let k = -17 + p. Round k to one dp. -0.2 Let l = 11.3123 - 15.01172. Let d = -3.616 + -0.084. Let p = l - d. What is p rounded to four decimal places? 0.0006 Let v = -58 - -50.4. Let f = v - -0.6. Let h = f + 7.41. Round h to 1 dp. 0.4 Let p = -92 + 92.00106. What is p rounded to 4 dps? 0.0011 Let u be (446/(-5))/((-2)/10). Suppose c = 3*v + 3*c - 294, 4*v - 3*c - 375 = 0. Let b = v - u. What is b rounded to the nearest 100? -400 Let x(f) = f**3 - f**2 + 4. Let k be x(0). Let s(m) = 4*m**2 - 6*m + 3. Let c be s(k). Round c to the nearest 10. 40 Let g = 1.33 - -56.67. Let c = 10402.65409633 + -10460.654097. Let z = c + g. Round z to seven dps. -0.0000007 Let r(j) = 9301*j**2 + 2*j + 1. Let a(y) = -y - 1. Let h be a(0). Let t be r(h). What is t rounded to the nearest one thousand? 9000 Let z be ((-27)/(-6))/(2/(-8)). Let w be (-2702)/(-9) + 4/z. Suppose -4*x = -1220 - w. Round x to the nearest one hundred. 400 Let q = 0.01816 - 0.017. Round q to 4 decimal places. 0.0012 Let u = 5891266.39999996 - 5891266. Let g = 11 - 11.4. Let t = g + u. Round t to 7 decimal places. 0 Let s = 3.512916 + -2.9129178. Let h = -0.05 + -0.55. Let c = h + s. What is c rounded to 6 decimal places? -0.000002 Let n = -0.026 + 22.026. Let k = n + -29.7. Round k to the nearest integer. -8 Let d = -0.44 - -10.04. Let k = d - 9.59999836. What is k rounded to seven dps? 0.0000016 Let g = 1302523.9500052 - 1302499.95. Let q = 24 - g. Round q to six dps. -0.000005 Let f = -253.97 + 242.1. Let r = -11 - f. What is r rounded to one dp? 0.9 Suppose 0 = 5*n + 47 + 58. What is n rounded to the nearest ten? -20 Let s = 285 + -284.999999801. Round s to seven decimal places. 0.0000002 Let s = -1.1 - -1.0999991. What is s rounded to 6 dps? -0.000001 Let b = 45696519.017 + -45735280. Let l = -38793 - b. Let n = l + 32. What is n rounded to two decimal places? -0.02 Suppose 4 = -4*c - 4*f, -3*c + f = -8*c - 1. Suppose 0*v + v = -2*p + 218, 4*p - v - 442 = c. Round p to the nearest one hundred. 100 Let d = 8852.2 - 8937.906. Let h = 42.8 + d. Let g = h + 43. Round g to 2 dps. 0.09 Let j = 9.1 - 0.1. Let k = 8.999987 - j. What is k rounded to five decimal places? -0.00001 Let d = -445 + 1545. Round d to the nearest 100. 1100 Let l = -18.5 - -20.36. Let n = l - 1.6. What is n rounded to one decimal place? 0.3 Let p = -4504 - -4962.4. Let z = -580.42 + p. Let a = 120 + z. Round a to 1 decimal place. -2 Let v = 0.077 + -0.0677. Round v to 3 decimal places. 0.009 Suppose 3*z - 3*x =
{ "pile_set_name": "DM Mathematics" }
/(sqrt(242)*-2)). -352*sqrt(19) Simplify -4*(sqrt(931)*-2 + -5) + (sqrt(1216) + 2)*2 + 4. 28 + 72*sqrt(19) Simplify -2 + ((3*sqrt(1300) + -3 - (-1 + (sqrt(1300) - (sqrt(1300) + sqrt(1300) + -2)) - sqrt(1300) - sqrt(1300))) + -4 + -3)**2. -1320*sqrt(13) + 46919 Simplify (sqrt(140)*5 - (1*sqrt(175))/sqrt(5))/(sqrt(125) - (sqrt(125) + -1*sqrt(125))*-4 - (sqrt(125)*2 - sqrt(125))*5). -9*sqrt(7)/20 Simplify ((-5*sqrt(2)*2 - (sqrt(2)*2 + 2)) + -2*(5 + sqrt(8)/(-2*sqrt(4))))**2*-4. -1544 - 1056*sqrt(2) Simplify (3*3*(sqrt(133) - sqrt(133)*-2)*4)/(-4*sqrt(343) + sqrt(343) + sqrt(7) + -4*sqrt(7)*2). -27*sqrt(19)/7 Simplify 0 + (0 + ((1 + sqrt(180))*-2 - sqrt(180)) + 4 - 3*((-5 + sqrt(180) + 1*sqrt(180) - sqrt(180)) + sqrt(180) + 0 + sqrt(180) + -5))**2. -4608*sqrt(5) + 26944 Simplify ((sqrt(121) + -3*3*sqrt(121) - sqrt(121)) + sqrt(121) - (sqrt(121) + (sqrt(121) - -3*sqrt(121)*4) + sqrt(121)))/(sqrt(66)/sqrt(6)*1 - sqrt(891)*2). 23*sqrt(11)/17 Simplify (-1 + sqrt(891) + -3*sqrt(891) + sqrt(891) + (sqrt(891) + -1)*4 + sqrt(891) + -1 + (sqrt(891)*-1 + -4)*-4 + -5)**2. 720*sqrt(11) + 57049 Simplify (-2 + 2 + (sqrt(360)/(sqrt(9)*2))/sqrt(8) + 3*sqrt(605)*5*2)**2. 2184605/4 Simplify ((1*sqrt(378)*-1)/((sqrt(120)/sqrt(2))/sqrt(10)))/((sqrt(576) + sqrt(576)*1)*5 + (sqrt(576) - sqrt(576)*1 - sqrt(576))*2). -sqrt(7)/64 Simplify (5 + 0 + 5 + 6*(2 + sqrt(75) + sqrt(75)) + (5 + (1 + sqrt(75))*6)*2)**2. 10560*sqrt(3) + 45136 Simplify (sqrt(1960) - ((1*sqrt(1960) - sqrt(1960)) + sqrt(1960)))/((sqrt(8) - -1*sqrt(8))*-3) + (((2*sqrt(10))/sqrt(2) - sqrt(5))*-4)**2 + -4. 76 Simplify ((2 + sqrt(153)/(sqrt(9) - (sqrt(81)*-1 + sqrt(81))))*-1 + (sqrt(85)/sqrt(5)*3 + -3)*-1*4)**2. -260*sqrt(17) + 2973 Simplify (-6*1*5*(sqrt(132) + (sqrt(132) - -1*sqrt(132))))/((sqrt(588) + sqrt(588) + sqrt(588) + sqrt(588)*-1*4 - sqrt(588)) + 5*(-2*sqrt(588) + sqrt(588))). 90*sqrt(11)/49 Simplify (sqrt(147)/sqrt(3)*1 - (1*sqrt(539))/sqrt(11))/(3*sqrt(84)/sqrt(3) - sqrt(28))*5. 0 Simplify (sqrt(243) + (sqrt(243) - sqrt(243)*-2) + 0 + 1 - (-3 + 1*(sqrt(243) + sqrt(243) + -2)))**2*-4. -4032 - 864*sqrt(3) Simplify (3*(sqrt(187)*-1*-1 + sqrt(187)))/(sqrt(22)/(sqrt(162) + sqrt(2) - sqrt(2))*5). 54*sqrt(17)/5 Simplify 4*((((sqrt(833) + 1)*-3 + -6*(sqrt(833) + 0))*-3)**2 - (3 + 4 + 1*sqrt(833) + 5)**2). 12936*sqrt(17) + 2425444 Simplify (4 + (sqrt(68) + -3 - (-1 + sqrt(34)/sqrt(2))) - (4 + sqrt(17) + -1 + sqrt(1088)*-1 + sqrt(17)))**2. -14*sqrt(17) + 834 Simplify 4 + 2*-1*sqrt(75)*-6 + -2 + -2 + 0. 60*sqrt(3) Simplify sqrt(36)/(sqrt(3)*-5)*2 - 4*sqrt(3)*1*4*-1. 76*sqrt(3)/5 Simplify sqrt(42)/((sqrt(72)*1)/sqrt(12)) + ((sqrt(7) + 1 - sqrt(7)) + -2 - sqrt(7) - -2*(sqrt(28) - sqrt(7))**2) - -1*(1*-2*sqrt(28))/sqrt(4)*-4. 13 + 8*sqrt(7) Simplify ((-4*(sqrt(220) - sqrt(220)*1))/(sqrt(180)*1) - (6*(sqrt(308) - 1*sqrt(308)) - sqrt(308))/(sqrt(7) - sqrt(112)*2))**2. 44/49 Simplify -1*(sqrt(1800) - -3*(sqrt(1800) + (4*sqrt(1800) - sqrt(1800))))/(sqrt(384)*2 + sqrt(18)/sqrt(3)*-2). -65*sqrt(3)/7 Simplify 3*((1*2*sqrt(108))/sqrt(3))/(4*4*(sqrt(128) - (sqrt(128) - (sqrt(128) + sqrt(128) + (sqrt(128) - sqrt(128)*-1) + sqrt(128))))). 9*sqrt(2)/320 Simplify (6*(sqrt(180) - (sqrt(180) + 0 + sqrt(180))) + 1 + sqrt(180) + 4 + 2 + (sqrt(45)/(sqrt(45)/sqrt(5)) + sqrt(10)/sqrt(98))*4)**2. -356*sqrt(5) + 160821/49 Simplify ((sqrt(405)*-2 + sqrt(405) - (sqrt(720) + 1))*3 + 5*((sqrt(5) - (-2 + sqrt(45) + sqrt(5))) + sqrt(135)/sqrt(3)))**2 + 4. -882*sqrt(5) + 19898 Simplify 1 + 4*(sqrt(450)/(sqrt(50)/(sqrt(20)/sqrt(4))))/(sqrt(27)/sqrt(3)*-2*1). -2*sqrt(5) + 1 Simplify ((((sqrt(3078) - (sqrt(3078) - 4*sqrt(3078)))*1)/(-2*sqrt(200) + (sqrt(18) - -2*sqrt(18))) + 2)*1)**2. -144*sqrt(19)/11 + 25108/121 Simplify 4 + sqrt(44)*2*-5*-6 + (sqrt(88)/sqrt(128))**2*-3. 31/16 + 120*sqrt(11) Simplify 5 + ((sqrt(72)/(sqrt(6) + sqrt(24)))/(-2*sqrt(600)))**2 + (sqrt(8)/sqrt(4) + 1 + (sqrt(192)/sqrt(6))**2)*-5. -287999/1800 - 5*sqrt(2) Simplify (5 + (-1*sqrt(325) - sqrt(325))*-1 + (sqrt(325) - (1 + sqrt(325)) - sqrt(325))*6 - (-1 + -5*4*sqrt(325)*-2))**2. 629200 Simplify (-5 + 1*-2*sqrt(432)*-3)**2 + (sqrt(432) + sqrt(432) + -1 + sqrt(432))*6 + ((-1 + sqrt(432))*-3)**2 + -3. -720*sqrt(3) + 19465 Simplify (-2*(2 + sqrt(832))*1 + (4 + sqrt(832) + -1)*-6 + 1)**2*-3. -161067 - 8064*sqrt(13) Simplify 4*((sqrt(2) - (sqrt(2) + 3 + 5) - (sqrt(288) - (sqrt(288)*3 - sqrt(288)))**2) + -1 + (-1 + sqrt(72) + -1 - sqrt(72) - sqrt(72))**2). -884 + 96*sqrt(2) Simplify 5*-2*((sqrt(1100) + -4*2*sqrt(1100))*4 - (sqrt(1100) - (3 + (sqrt(1100) + 2 - sqrt(1100))) - (-2 + sqrt(1100))*-5)**2). -15200*sqrt(11) + 398250 Simplify (1*(sqrt(252) + 5 + -3*sqrt(252) + sqrt(252)))**2 + (((sqrt(252) + 0)**2 - sqrt(252)) + 3 - (2 + -2*sqrt(252))**2). -480 - 18*sqrt(7) Simplify (5*((3 + (sqrt(1377) - (2*sqrt(1377) + sqrt(1377))))*-6 - (sqrt(1377) + sqrt(1377)*3*-4)*-4))**2. 259200*sqrt(17) + 35259300 Simplify ((-5 + ((sqrt(288) + sqrt(288)*-1 + -1 - (sqrt(288) + 5*(sqrt(288) + 0))) + 3)*-3)*5)**2. -118800*sqrt(2) + 2335825 Simplify -4 + (sqrt(432)/(sqrt(36)/sqrt(4)) + sqrt(192)*3 - (-4 + -2 + sqrt(48) + -5)**2)*4. -680 + 464*sqrt(3) Simplify 3 + (2 + 4 + 2*sqrt(425) - (sqrt(425) + sqrt(425) + sqrt(425) + (-1 + sqrt(425))**2*-1 - sqrt(425) - (sqrt(425) + -6*sqrt(425)*1))) + 2. -35*sqrt(17) + 437 Simplify 5 + ((5*(sqrt(16) - sqrt(32)/sqrt(2)))/sqrt(2) + -4 + 2*sqrt(1152))**2 + 3 + 1. -384*sqrt(2) + 4633 Simplify 2*(-1*((sqrt(21)*1)/sqrt(3) + 4) - (((sqrt(84)/sqrt(3))/sqrt(4))**2 + sqrt(567) + (-1 + sqrt(567))**2 + sqrt(567) + sqrt(7) + -2)). -1154 - 4*sqrt(7) Simplify 4 + 5*(2 + sqrt(171)) + (sqrt(684) - (-4*sqrt(684)*1)**2) + -4. -10934 + 21*sqrt(19) Simplify ((sqrt(85) + sqrt(85) + sqrt(85) + sqrt(85)*2*-3 + 2*(sqrt(85)*1 + sqrt(85)))*-6)/(-3*sqrt(45)/(sqrt(9) - sqrt(9)*-2)*-5). -6*sqrt(17)/5 Simplify -3 + 5 + ((0 + -1 + sqrt(425))**2 - (4 + sqrt(425)*-1)). -5*sqrt(17) + 424 Simplify -5 + (-3*sqrt(3300))/((sqrt(9) + sqrt(72)/sqrt(8))/sqrt(3)) + -4. -15*sqrt(11) - 9 Simplify (sqrt(3)*-2*3 + (sqrt(300) - (2 + sqrt(300))**2) + 1*(-5 + 5*sqrt(3))**2)*4 + 3. -813 - 344*sqrt(3) Simplify 4 + sqrt(2299) + (sqrt(684) + -4 + sqrt(684) - sqrt(684) - sqrt(684) - sqrt(684)) + -2 + sqrt(475) + 1 + sqrt(475) + 1. 15*sqrt(19) Simplify 4*6*((4 + -6*(sqrt(405) + 0))*-1 + -1)**2. -12960*sqrt(5) + 350520 Simplify 2 + sqrt(21)/(sqrt(12)/sqrt(4)) + 1 - ((-5 + sqrt(63) + sqrt(7) - sqrt(7)) + sqrt(28) + -3 + sqrt(28)). -6*sqrt(7) + 11 Simplify (sqrt(252) + -4*(sqrt(252)*2 - sqrt(252)))**2 + 4 + -5 + -5*(-1 + (5 + (sqrt(7) - sqrt(14)/sqrt(2)) - -2*sqrt(7)*-5))**2. -1313 + 400*sqrt(7) Simplify ((sqrt(66) + sqrt(66) + -1*(sqrt(66) + sqrt(66) + 1*sqrt(66)))/(sqrt(3) + 4*sqrt(27)))/(-4*(sqrt(539) + (sqrt(539)*-2 - sqrt(539)))*3). -sqrt(2)/2184 Simplify -2*-5*(sqrt(1872) + (sqrt(1872) - sqrt(1872)*-3) + 4)**2 + -1*(sqrt(1300) + (sqrt(1300) - 3*sqrt(1300)) + 2)**2 + -4. 4840*sqrt(13) + 466852 Simplify (-3*sqrt(63)/(-3*sqrt(9))*6 - (sqrt(35) + (sqrt(1260)*1 - sqrt(1260) - sqrt(1260)))/sqrt(5)*3)**2. 3087 Simplify (-1 + -2 + (-4 + sqrt(245))**2 - (1 + (sqrt(245) - (2 + sqrt(245))))*5)*2 + 4. -112*sqrt(5) + 530 Simplify ((sqrt(117) - 3*sqrt(117) - sqrt(117))*-3 + (sqrt(117) - -6*2*sqrt(117)) + sqrt(117))/(1*((sqrt(729) - 2*sqrt(729)) + sqrt(729)) + 1*sqrt(729)*-4). -23*sqrt(13)/36 Simplify (((1 + sqrt(192) - sqrt(192)) + sqrt(192))*-2 - (-2*sqrt(192) + sqrt(192) + -1)) + 5 + -5 + (1 + sqrt(27) + 3)*6. 10*sqrt(3) + 23 Simplify 0 + 5*(sqrt(475) + 0 + -1)**2 - ((sqrt(684)*1 - (5 + sqrt(19) + 1))**2*-4 + 0). -290*sqrt(19) + 4424 Simplify ((2*(1 + sqrt(468)) + -4)**2*5 - -3*(2*(sqrt(468) + 0)*-4)**2)*6. -1440*sqrt(13) + 595416 Simplify 3 + ((-6*(sqrt(65)*1 + sqrt(65)) - sqrt(65) - (sqrt(65) - (-5*sqrt(65)*-2 - sqrt(65))))*-2)/((sqrt(720)/sqrt(3))/(sqrt(15)/sqrt(45) - sqrt(3))). -5*sqrt(13)/3 + 3 Simplify ((sqrt(900)*-6)/(3*sqrt(48)))**2 - (sqrt(18) - 2*sqrt(648))/(sqrt(6) - (2*sqrt(96) + sqrt(6))). -11*sqrt(3)/8 + 75 Simplify (((sqrt(70) - sqrt(70)*3*6) + sqrt(70))/(sqrt(1000)*1) - (-1 + (sqrt(315)/sqrt(45))/(1*sqrt(36))))**2. -53*sqrt(7)/15 + 20563/900 Simplify (-5*(sqrt(3584) + 5*-1*sqrt(3584) + sqrt(3584) + sqrt(3584)))/(sqrt(32)/sqrt(36) + -2*sqrt(392) + sqrt(392)). -12*sqrt(7) Simplify -2*((sqrt(567)*-2*
{ "pile_set_name": "DM Mathematics" }
1/11 What is the value of -2*7/(14/(-5))? 5 Evaluate ((-24)/(-42))/((-3)/(-42)). 8 16/(-36)*1*-9 4 Evaluate (-6)/20*(-46)/207. 1/15 What is (9/117)/(1/2)? 2/13 What is the value of (1/2)/(6/(-24)*-9)? 2/9 What is (-15)/(-9)*36/(-20)? -3 Calculate (-12)/33*(-9)/36. 1/11 What is the value of 5/66*(-4)/(-10)*6? 2/11 Evaluate ((-16)/216)/(-2)*-6. -2/9 ((-3)/1)/(60/(-8)) 2/5 (-1)/2*11/385*-7 1/10 Calculate (1/(33/(-22)))/((-14)/(-6)). -2/7 What is the value of (15/75)/(2/(-70))? -7 What is the value of (-18)/108*15/2? -5/4 ((-9)/(-2))/(228/(-304)) -6 What is ((-4)/(-3))/(4/((-48)/4))? -4 Calculate -3*3*6/(-99). 6/11 Calculate (-2)/(((-225)/10)/9*2). 2/5 2/(-8)*(-64)/80*0 0 Calculate 146/365*(-5)/6. -1/3 (-10)/(-2)*3/(-3) -5 Evaluate 42/9*(-15)/(-40). 7/4 Evaluate 1/((5/5)/(-1)). -1 ((-2)/(-12))/(105/140) 2/9 What is the value of 9/(-441)*-14*-21? -6 Evaluate ((-2)/5)/(((-5)/10)/1). 4/5 Calculate (5/(-4))/((18/(-2))/(-36)). -5 ((-12)/(-10))/(((-3132)/120)/(-29)) 4/3 Calculate (3/(-12))/(120/160). -1/3 Calculate ((-2)/(20/6))/(28/140). -3 What is (-4)/(-40)*1*4? 2/5 Evaluate (3*-1)/(6/6). -3 Evaluate (-4)/(-2)*2/(-1). -4 Calculate ((-2)/(-28))/((-46)/(-483)). 3/4 ((104/(-40))/(-13))/((-3)/(-6)) 2/5 What is the value of (((-60)/(-32))/15)/(2/(-4))? -1/4 Calculate 4/(-9)*(-4)/16*-6. -2/3 (-5)/16*38/(-95) 1/8 Evaluate (13*116/1885)/(14/5). 2/7 Evaluate (-5)/(-5)*(-2)/(-10). 1/5 Evaluate (-12)/(-40)*36/(-6)*-5. 9 (58/377)/((-44)/(-26)) 1/11 Evaluate ((-9)/(-12))/((-9)/24). -2 Calculate 4/((-32)/8)*-5. 5 Evaluate (-15)/((-90)/24)*2/(-10). -4/5 What is 1/(-15)*(-200)/(-120)*6? -2/3 Calculate (4/(-14))/(18*(-7)/98). 2/9 Evaluate (-17)/(-17)*(3/(-1))/(-3). 1 ((-1)/(-5))/((1638/(-70))/(-13)) 1/9 What is the value of ((-22)/418)/((-2)/4)? 2/19 Calculate 14/49*2/(120/28). 2/15 What is the value of (((-4)/(-6))/2)/(30/90)? 1 What is ((-14)/(-10))/((-57)/285)? -7 ((-160)/256)/(5/(-2)) 1/4 Calculate ((-2)/(-12))/(6*(-2)/16). -2/9 What is (49/196)/((-1)/14)? -7/2 Calculate (-6)/36*6*5. -5 What is ((-70)/(-8))/(-7)*1/(-5)? 1/4 Calculate 6/8*576/4968. 2/23 Calculate (-20)/25*(-1)/38*5. 2/19 8/(-16)*0/((-8)/(-2)) 0 What is ((-30)/2)/(-3)*(-26)/1235? -2/19 Evaluate ((-9)/6)/((-3)/4). 2 Calculate 10/(-22)*180/(-150). 6/11 2/(-4)*-10*5/(-25) -1 What is the value of 3/14*3/9? 1/14 What is (8/18)/((-6)/(-3))? 2/9 2*(-4)/(-90)*6/4 2/15 What is the value of 1/45*24*(-6)/(-8)? 2/5 Calculate (6/25)/((-171)/(-57)). 2/25 What is the value of 264/99*3/(-8)*-6? 6 18/294*7*(-1)/1 -3/7 Evaluate -1*((-10)/5)/(-2). -1 ((-1)/(-2))/(64/(-224)) -7/4 Calculate -3*(-4)/(-8)*-2*-1. -3 Calculate ((-1)/(-2))/((-23)/46). -1 ((-10)/3*(-252)/2730)/(-2) -2/13 Evaluate (2/(-1))/((-24)/(-96)). -8 Calculate (((-266)/(-42))/19)/((-1)/(-18)). 6 Evaluate 6/(-4)*(-85)/(-204)*-8. 5 Evaluate 22/(-77)*(-5)/((-90)/14). -2/9 Evaluate (11/(-44))/(5/40). -2 12/(-42)*7/((-1)/1) 2 (20/35)/((-4)/(-42)*3) 2 What is (-95)/(-228)*(-6)/(-20)? 1/8 What is (246/82)/(3/(-2))? -2 ((-9)/24*4)/(9/(-12)) 2 1/(-2)*2*15/3 -5 Calculate 9/(-12)*84/(-189). 1/3 What is the value of ((-5)/(-9))/((-4)/12*2)? -5/6 What is the value of 3/((-48)/1)*-2? 1/8 Evaluate ((-725)/(-290))/(5*2). 1/4 Calculate (11/(440/(-30)))/(6/2). -1/4 Evaluate (-10)/(-8)*(-11)/(165/6). -1/2 What is (1*1/(-4))/((-310)/(-124))? -1/10 Calculate (-5)/5*(-2)/(-2). -1 What is ((-20)/(-35))/(8/(-28))? -2 Calculate 7/(-1)*(-84)/98. 6 What is the value of (-1)/(-2)*3/(33/110)? 5 What is the value of (-2)/((-4)/3*3)? 1/2 What is the value of 10/(-3)*-5*6/25? 4 What is ((-9)/(-12))/(7/(-28))? -3 Evaluate ((-48)/(-88))/((-16)/44). -3/2 ((-1)/(-3))/(8/(-240)*5) -2 What is the value of (-13)/((-260)/24)*-5? -6 Calculate 13/1014*13*42. 7 Evaluate 11/((-55)/20)*2/(-2). 4 Calculate (2/(-23))/((-82)/1886). 2 Calculate 0/(((-4)/6)/(5/15)). 0 What is 15/4*(-30)/75? -3/2 What is the value of 2/(-17)*51/(-12)? 1/2 5*63/42*(-2)/(-3) 5 What is 3/(-3)*9*14/63? -2 Calculate 4/(16/20)*6/15. 2 (-2)/((-13)/((-572)/11)) -8 Evaluate (3/(-2))/(2/(56/21)). -2 What is the value of 45*16/144*(-6)/(-10)? 3 Calculate 50/175*28/24. 1/3 Calculate (-1)/(-1)*13/52*0. 0 Calculate ((-1)/(-2))/(306/68). 1/9 Evaluate ((-2)/(-4))/(91/(-104)). -4/7 ((-3)/(-1))/(14/2) 3/7 2/(-14)*-3*182/(-208) -3/8 8/(-10)*200/(-480) 1/3 4*1*(-8)/(-8) 4 What is 3/(6/2)*7? 7 Evaluate ((-70)/(-21))/(-2)*-3. 5 What is the value of (-1)/7*(-8)/((-96)/(-21))? 1/4 Evaluate (-8)/(-16)*7*80/28. 10 Calculate ((-1056)/(-336))/(2/(-7)). -11 Calculate (2/(-1)*(-3)/(-12))/(-1). 1/2 What is (-2*2/4)/((-5)/(-5))? -1 Evaluate (((-224)/(-20))/8)/(3/(-15)). -7 Calculate 2*-1*7/((-84)/8). 4/3 -91*13/(-169)*12/14 6 What is (-8)/((-19)/(57/(-6)))? -4 Calculate (1/(-22))/((-1)/(-4)). -2/11 Calculate (-195)/13*6/9. -10 (-5)/(-22)*1*(-16)/(-20) 2/11 ((-3)/(-3))/((-7)/4*2) -2/7 (-2)/(-15)*-5*3/8 -1/4 What is (160/32)/(2/(-2))? -5 (20/16)/(5/(-1*20)) -5 What is ((-7)/(7/(-2)))/(-2)? -1 (-2)/7*(910/(-40))/13 1/2 Evaluate (-3)/(-9)*(-405)/450. -3/10 Calculate 56/64*4*-2. -7 ((-70)/40)/((21/28)/3) -7 Evaluate (-3)/((-1)/((-3)/9)). -1 Calculate (-3)/(27/12)*27/(-90). 2/5 What is (-14)/(-784)*24*21/(-24)? -3/8 Calculate (6/(-36)*-9)/(1/(-2)). -3 What is the value of ((-14)/25)/7*(-20)/8? 1/5 (-11)/(-33)*1/1*6 2 Evaluate (32/(-224))/((-1)/(-4)). -4/7 What is 2*6/(-4)*24/36? -2 Calculate ((-10)/4*-1)/((-265)/212). -2 What is 6/(9/((-63)/7))? -6 What is the value of 0/(-7*(-2)/7)? 0 -9*5*(-16)/(-360) -2 Calculate 2/((-16)/(-2)*2/16). 2 What is (10/28)/5*24/12? 1/7 Evaluate (6*1/4*-1)/6. -1/4 What is the value of (15/((-150)/32))/(2/5)? -8 What is (12/(-10))/(84/280)? -4 What is (-50)/(-20)*(-9)/15? -3/2 Calculate (-180)/560*4/(-3). 3/7 Evaluate 14/4*20/(-35). -2 (((-54)/12)/(-3))/(12/(-32)) -4 Evaluate 5/(1*1/(-1)). -5 Evaluate 2/4*(-6)/9*3. -1 What is (-36)/(36/(-6))*2/(-6)? -2 What is 45/(-108)*6/(-15)? 1/6 What is (2/((-24)/(-4)))/((-1)/(-3))? 1 Calculate ((-60)/(-100))/((-9)/(-6)). 2/5 (-8)/10*1/(-2) 2/5 Evaluate 12/(-63)*((-126)/(-20))/(-9). 2/15 Evaluate 21/2*38/(-57). -7 Calculate (-1*2/15)/(6/18). -2/5 Calculate 90/108*3/(-25). -1/10 Evaluate 10/(14/(-49)*-7). 5 1/(5*11/(495/(-36))) -1/4 What is 8/(-98)*-14*4/48? 2/21 Calculate (560/(-21))/(-4)*(-24)/(-32). 5 Evaluate ((-2)/(-8))/((-8)/((-160)/30)). 1/6 Evaluate 1*42/((-91)/(-13)). 6 What is ((-6)/(-15))/((7/10)/(-7))? -4 What is 1/(-2*(35/(-4))/7)? 2/5 (21/(-12))/(-7)*-2 -1/2 Calculate (-4)/((-4)/(1/(4/(-24)))). -6 Calculate ((-12)/(-20))/(((-18)/15)/(-6)). 3 Calculate 1/(3/(-2))*(-9)/3. 2 (2/((-4)/(-2)))/((-1)/(-5)) 5 Evaluate (3/2)/((-36)/96). -4 Calculate (6/(-4))/((-3)/6). 3 -5*(-15)/6*4/10 5 What is (-1)/(-1)*(-57)/((-17442)/36)? 2/17 (7/21)/(4/(-36)) -3 2*9/20*4/(-6) -3/5 Evaluate ((-10)/5)/(-20*4/12). 3/10 What is the value of 10/8*(-7)/((-70)/40)? 5 What is the value of -6*((-120)/64)/((-18)/(-8))? 5 What is the value of (12/(-12))/((-2)/(-6))? -3 What is the value of ((-5)/20)/(5/20)? -1 What is 1/(-5*9/(-18))? 2/5 What is -4*(-11)/(176/12)? 3 Evaluate 40/4*(-2)/4. -5 What is the value of 213/(-142)*12/(-81)? 2/9 Evaluate (-6)/((-15)/5)*-2. -4 Calculate (-1)/3*-8*6/(-4). -4 What is (128/(-8))/(-8)*(-3)/2? -3 What is 8/32*(-4)/6? -1/6 What is the value of 3/4*(30/9)/10? 1/4 Calculate (3/((-108)/3))/((-12)/16). 1/9 Calculate (344/516)/((-4)/(-6)). 1 What is 4/((-24)/(-300)*-10)? -5 Evaluate (-180)/72*6/(-35). 3/7 What is ((-4)/10)/((-2)/(-10)*4)? -1/2 Calculate (-6)/(-7)*((-140)/8)/(-5). 3 What is -15*(-11)/(-99)*(-3)/2? 5/2 (-46)/(-115)*(-15)/2*-2 6 What is 1/(((-36)/(-27))/((-8)/(-6)))? 1 Evaluate 1232/231*3/(-4). -4 What is (1/1)/(18/(-9))? -1/2 Evaluate 10*6/400*-5. -3/4 Evaluate 27/((-9)/(-3))*(-11)/33. -3 What is -9*1*1*(-5)/15? 3 What is 5/100*-3*(-15)/27? 1/12 Calculate ((-12)/(-24))/(1/(8/10)). 2/5 What is the value of (39/351)/(1/18)? 2 What is the value of 5*(-3)/(-30)*4? 2 What is the value of (-35)/4*-6*(-2)/30? -7/2 What is (2/20)/(24/(-40))*-2? 1/3 (60/6)/(2/(-1)) -5 What is (15/35)/(((-4)/1)/28)? -3 What is the value of -3*(-10)/200*-2? -3/10 Calculate 3/(-18)*(-28)/(-49). -2/21 Evaluate 85/(-136)*(-2)/(-5). -1/4 What is ((-9)/(-4))/(21*(-2)/(-28))? 3/2 What is the value of (-126)/(-84)*(-8)/(-6)? 2 Evaluate 3*(-5)/5*(-6)/9. 2 What is 2/((-32)/(8/2))? -1/4 Calculate
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
-40.1. Put -1/9, 3, m in decreasing order. 3, m, -1/9 Suppose -5*z + 37 - 12 = 0. Suppose 4*q - 96 = 5*s, -23 = -z*q - 5*s + 142. Suppose 5*m = -y + 17, 3*m - 3*y - q + 8 = 0. Sort 5, 1, m in ascending order. 1, m, 5 Let y(a) = -a**3 + a**2 - 1. Let p be y(-1). Let u = -3.2 - -2.8. Put p, u, -4 in descending order. p, u, -4 Let c = 23 - 7. Put -3, c, 4 in descending order. c, 4, -3 Let y = -37 + 37.5. Put 1/6, -14, -0.4, y in ascending order. -14, -0.4, 1/6, y Suppose -10 = -4*y - 2. Let v be (9/15)/(1/5). Suppose y*l + l = -v. Sort 2, l, -3 in decreasing order. 2, l, -3 Let t = 13 - 18. Suppose 4*s - 4 = 2*s. Let n be s/(2*(-3 + 2)). Sort n, t, 0. t, n, 0 Suppose -h = -i + 1, 2*i - 2*h - 3*h = -10. Suppose 0*f - 3*f + 3 = 0. Sort f, i, 4. f, 4, i Suppose -3*b + b - 2*s = -20, 4*s = -b - 5. Suppose -7*c = -2*c - b. Suppose -y - v + 4 = 0, 5*y - 4 + 2 = 4*v. Sort c, -5, y in increasing order. -5, y, c Let p = 23.7 + -24. Sort 0.1, -1/2, p, 3/2 in ascending order. -1/2, p, 0.1, 3/2 Suppose -6 = 2*f - 3*n, -2*f + 4 = -2*n + 6. Sort 31, -4, f in descending order. 31, f, -4 Let w(z) = -3*z - 2. Let h be w(-1). Sort 3, -3, h. -3, h, 3 Suppose -q + r - 5 = 0, 0 = -2*q + 6*r - 2*r - 20. Suppose -3*d - 10 = -d. Sort -2, d, q in ascending order. d, -2, q Let m = -3 + 2.9. Let x = 15 - -1. Suppose 4*w = -5*n - x, 5*w + 3 = -3*n + n. Put m, -1/11, w in ascending order. m, -1/11, w Let r(a) = 4*a. Let y be r(-4). Let f be 4/y - (-11)/12. Let g = 0.57 + -0.07. Put f, -3, g in decreasing order. f, g, -3 Suppose 50 = h + 4*h. Suppose -3*b - 5 = h. Sort b, 9, -4. b, -4, 9 Suppose 0 = 5*x - 3*q - 95, -12 = -2*x + 9*q - 13*q. Put 0, x, 4 in increasing order. 0, 4, x Let f(i) = i**3 - 2*i**2 - 2*i - 2. Let d be f(4). Let b = 200/9 - d. Put 1/7, b, -2/17 in decreasing order. b, 1/7, -2/17 Let z = 3/2128 + 366001/10640. Let m = -514/15 + z. Sort m, -5/6, 0.5. -5/6, m, 0.5 Let j be (-3 - -1)*1/(-1). Put -4, 5, j, 4 in decreasing order. 5, 4, j, -4 Suppose -2*w - 3*w + 15 = 0. Let k be (-2)/w - 2/6. Suppose -2*c + 8 = -0*c. Put c, k, -2 in increasing order. -2, k, c Suppose -2*v = -5*v - 15. Let k(f) = -f**3 - 4*f**2 + 4*f - 4. Let t be k(v). Let q be (0 - 0)/(t - -1). Put -5, q, -1 in increasing order. -5, -1, q Let u be (4 - 3) + (-3)/(-2). Let w = 38 - 16. Suppose -g - 2*x + 5*x = 4, 5*g - w = x. Sort g, u, 1/5 in descending order. g, u, 1/5 Let y = 1 + -2. Suppose 0 = -5*z - 20, 3*z - 4*z = 4*m. Let w = m + y. Sort 3, -2, w in descending order. 3, w, -2 Let g(d) = d - 4. Let y be g(6). Sort 4, -4, y, -2 in descending order. 4, y, -2, -4 Suppose 3 = 4*h - 1. Suppose 0 = 2*m - 3*z - 2 - h, 5*z + 5 = 2*m. Let t = 0.2 + -0.1. Sort t, m, 0.3 in increasing order. m, t, 0.3 Let c = -22.6 + 24. Put -5, c, -1 in ascending order. -5, -1, c Let v = -0.045 + 0.145. Put -4, v, 0.5, 5 in descending order. 5, 0.5, v, -4 Let g = 22 - 22. Let d be (g - 4) + 696/180. Sort -1/4, -1, d in increasing order. -1, -1/4, d Let k = 5 + -3. Let m = -5 + k. Let y = 3 + 0. Sort y, m, 4 in decreasing order. 4, y, m Let d = 2 + -1. Let a = 9 + -5. Let i be a/14 + 37/(-7). Sort -4, d, i in increasing order. i, -4, d Let q = 1 + 2. Put 5, q, -3 in decreasing order. 5, q, -3 Let k = 8 - -3. Put k, -0.2, 3/4, 0.3 in ascending order. -0.2, 0.3, 3/4, k Let o = 0.374 - -0.026. Put o, -31, 3, -0.1 in decreasing order. 3, o, -0.1, -31 Let p = 0 + -4. Put 1, -35, p in ascending order. -35, p, 1 Let m(l) = l**2 + 3*l. Let v be m(-4). Suppose 4*a = 0, -13 = -3*b + v*a - 1. Suppose -2*p - b = 0, -4*p + 3 = -5*n + 26. Sort -4, n, -1 in descending order. n, -1, -4 Let w(g) = -2*g + 12. Let b be w(14). Let h = b + 15. Let q be (-5)/(2/(2 - 0)). Put -1/6, q, h in descending order. -1/6, h, q Let c = 81 + -78. Sort c, 2, 22. 2, c, 22 Let a be 1*4 + ((-8)/8 - -4). Sort 4, a, 3, 5 in decreasing order. a, 5, 4, 3 Suppose 4*z - 5*z - 3 = 0. Sort 0, z, -5 in increasing order. -5, z, 0 Let o be (-6)/8 + 1290/1656. Put 0.1, -3, o in descending order. 0.1, o, -3 Let q be -3 - 7/(35/(-20)). Let m be (-1)/(-1)*(-5)/1. Sort m, -2, q in descending order. q, -2, m Let m be (-9)/(-3) - (-4)/(-2). Suppose 4*o + 2*d = -16, d - 1 + 4 = -o. Sort m, -2, o in increasing order. o, -2, m Suppose 3*n = 6 + 9. Suppose 4*g = 10 + 2. Let t be 0*(-2)/8*-4. Put g, t, n in increasing order. t, g, n Suppose 68*n - 61*n - 14 = 0. Let x be 2 - (-6)/(-2)*-1. Sort 4, x, n in ascending order. n, 4, x Let d = -0.1 - 0. Let q = 0.3 - d. Let u = q + -1.4. Put -3, u, -2 in increasing order. -3, -2, u Let c(h) = -2*h**2 + 11*h - 7. Let t be c(4). Put t, -11, -1 in increasing order. -11, -1, t Let s(f) = f**3 - 5*f**2 + 6*f - 9. Let n be s(4). Let h = -6 - -10. Put h, 6, n in descending order. 6, h, n Let c(s) = 6*s - 21. Let p(w) = -w + 4. Let h(n) = -2*c(n) - 11*p(n). Let d be (8 - -1)/3*-2. Let l be h(d). Put 3, l, 0 in decreasing order. l, 3, 0 Let d be (5 + -6)/((-1)/(-5)). Sort 2, 4, d in descending order. 4, 2, d Let d(l) = -l**2 + 18*l - 59. Let a be d(13). Sort a, 5, 3 in ascending order. 3, 5, a Let o = -61 - -135. Let s = o + -67.2. Let c = s - 7. Put c, -2/11, 0.2 in increasing order. c, -2/11, 0.2 Suppose 0*g = a - 3*g + 21, 2*a - 5*g + 42 = 0. Let m be (-2)/(-4) - a/(-18). Sort -3, m, 3/2 in ascending order. -3, m, 3/2 Let q = -5 - -6.8. Let m = q + -2. Sort -2/7, m, 2/7 in ascending order. -2/7, m, 2/7 Let i = -0.12 - -1.62. Sort i, 0, -5 in increasing order. -5, 0, i Let k be -2 - ((-224)/(-98))/(18/(-14)). Let u(c) = c**2 - 6*c + 2. Let l be u(6). Let z be l/4*(-4)/7. Put z, k, -3 in decreasing order. k, z, -3 Let j = -65 - -60. Put 0, 2, j in ascending order. j, 0, 2 Suppose 2*t + 82 - 92 = 0. Suppose 3 = -4*y + 15. Sort y, -1, t. -1, y, t Let q = 0.45 + -0.25. Let z = -0.6 + -0.1. Let s = z - -0.2. Put 0, s, q in decreasing order. q, 0, s Let o = 12.2 - 12.21. Let q = 0.09 + -4.09. Put 0.3, o, q in ascending order. q, o, 0.3 Suppose k + q + 3 = -0, 2*q = k + 6. Let u = -0.5 + 0.55. Let r = u + 1.95. Sort k, r, -3. k, -3, r Suppose i - 22 = 4*c, 3*c = -2*c + i - 27. Put -1/10, c, -4, 0.5 in increasing order. c, -4, -1/10, 0.5 Let h = 20 - 8. Suppose 0 = -3*u - 3*c + h, -c + 9 - 2 = -2*u. Let g = -46/65 + 4/13. Sort 0.1, u, g in descending order. 0.1, g, u Let t = 55 + -62. Sort t, 1/4, 0.2, 0 in ascending order. t, 0, 0.2, 1/4 Suppose 12 = 27*k - 24*k. Sort 0, 2.6, k, 5/4 in increasing order. 0, 5/4, 2.6, k Let z = -1 - 2. Suppose 0*q + 4*r = -4*q + 8, -8 = 2*q - r. Put z, 5, q in ascending order. z, q, 5 Let o = -39 + 18. Let n be (56/o)/(4/(-6)). Let f be 1/(((-6)/10)/3). Put f, 1, n in decreasing order. n, 1, f Let g = -67 + 70. Put -11, g, 1/7 in increasing order. -11, 1/7, g Suppose 0 = o - 9*o - 16. Sort 7, -4, o. -4, o, 7 Suppose -3*j - 5*l + 27 = 0, 5*l + 1 = 5*j - 4. Let p be (2/(-1))/(j/6). Sort 4, p, 2. p, 2, 4 Let b = -0.28 - 11.72. Let a = b + 9. Put -0.2, -0.1, a in increasing order. a, -0.2, -0.1 Suppose f - 17 = -5*a, -2*a = 3*a - 20. Suppose 3*u = u. Suppose -3*y + c = -8*y - 28, -4*y - 4*c - 32 = u. Sort y, -1, f in descending order. -1, f, y Let u = -15 - -17. Let b(j) = j**2 + 4*j + 5. Let x be b(-4). Suppose 1 - 9 = -3*k + 4*v, 4*v = -x*k - 40. Sort u, 5, k in decreasing order. 5, u, k Let h(o) be the third derivative of o**5/60 - o**4/8 - 2*o**3/3 + 6*o**2. Let d be h(3). Sort -2/13, 0, d in descending order. 0, -2/13, d Let w = 0.018 + -0.218. Sort 0.07, 4, w. w, 0.07, 4 Let k = -0.3 - -1.2. Let o = k - -0.1. Sort -2/7, 0, o in decreasing order. o, 0, -2/7 Suppose 3*c + 3*a = 3, 2*c + 3*a - 8 = 4*a. Let b = c + 0. Sort 2/7, b, -4 in increasing order. -4, 2/7, b Let v be 3 - (0 + 0/(-1)). Suppose v*h + h - 16 = 0. Let d = 2 - 0. Put 0, d, h in descending order. h, d, 0 Let g = 2.01 - 0.01. Let b be (-33)/(-10)*(-6)/9. Let t = -27/10 - b. Put t, g, -4 in increasing order. -4, t, g Let s = -42 + 51. Put 1, 2, s in decreasing order. s, 2, 1 Let q = 0.004 + 0.506. Sort -3, -0.5, q in descending order. q, -0.5, -3 Let b(z) = -z**3 - 2*z**2 + 4*z + 5. Let p be b(-3). Put 3, -5, p, 0 in decreasing order. 3, p, 0, -5 Let k = -4 - 1. Suppose 4*g - g - 6 = 0. Let w be (2 - -1)/((-12)/(-16)). Sort w, g, k in ascending order. k, g, w Let q(l) = l**2 + 4*l - 6. Let t be q(-5). Let g be 0 - (t - 5/(-1)). Let a = -11/3 -
{ "pile_set_name": "DM Mathematics" }
in decreasing order. v, -4, o Let p = -0.33 + -0.03. Let q = 0.04 - p. Let a be (-3 - (1 - 3))*0. Sort -1/4, a, q in decreasing order. q, a, -1/4 Suppose 4*m = -39 + 23. Sort m, -2, 6 in decreasing order. 6, -2, m Let d = -4 - -9. Suppose 3*a + 2 - 1 = -5*j, 5*a + 12 = 2*j. Suppose f + 3*b + j = 12, 5*b - 5 = 5*f. Sort f, d, -1 in ascending order. -1, f, d Let g = 20 + -2. Let v be 2/1 - (8 + -6). Suppose h + h = -4*x - g, v = -x - 5. Put 0.5, h, 0.1 in decreasing order. h, 0.5, 0.1 Let n be (1 - 6/(-4))*(-6)/(-5). Sort -4, 1, n, -2 in ascending order. -4, -2, 1, n Let r = 3 + -1. Suppose 0 = 3*v + 3*d - 24, d = 3*d - 6. Put r, -1, v in descending order. v, r, -1 Suppose -2*h - 2*j + 18 = 0, -2*h + 3*j = 2 - 0. Let x(c) = c**2 + 9*c - 3. Let d be x(-9). Sort -2, d, h in decreasing order. h, -2, d Let w = -0.07 - -0.37. Let p = 0.155 - 2.155. Sort w, -0.2, p. p, -0.2, w Let h = 147 - 144. Sort 7, h, -4. -4, h, 7 Let p be 6/10 - 2/70. Let j = -4.2 - -0.8. Let f = -3 - j. Put -2/11, p, f in decreasing order. p, f, -2/11 Suppose -u - m - 7 = 0, 2*m = -2*u - 2*m - 24. Let i be 23/6 + -2 + u. Sort -4, -3, i in descending order. i, -3, -4 Let d(x) = x**3 + 2*x**2 - 3*x - 2. Let q be d(-2). Sort 6, -2, q in descending order. 6, q, -2 Let a be 28/154 - 54/55. Let s be -1*(-2 + (2 - 2)). Suppose 0 - 2 = s*r. Sort -3/7, r, a in increasing order. r, a, -3/7 Let k be (5 + -1 + -2)*-2. Let t be -2 + -1*2 + 1. Sort k, t, 0 in ascending order. k, t, 0 Suppose 4*g - 8 = 4. Suppose z - 2*z = -13. Suppose -7 - z = -5*a. Sort g, 1, a in descending order. a, g, 1 Let n = -181 + 181.2. Let v = 11 - 6. Put n, v, -0.6 in increasing order. -0.6, n, v Suppose 3*g = -4 + 7. Let l be (7 - 3)/(6/3). Sort l, -4, g. -4, g, l Let b = 41 - 42.96. Let q = -0.04 + b. Let l(a) = 2*a - 1. Let y be l(-2). Sort 3, y, q in increasing order. y, q, 3 Let o = -0.5 - 0. Let t = 55 - 30. Let j be (-15)/t*4/(-6). Sort o, -3/2, j. -3/2, o, j Suppose -4*c + 2 = 3*x + 3, -19 = c - 3*x. Sort c, 1, 0. c, 0, 1 Let n = -11 - -7. Suppose -3*t + 9 = 3*k - 12, -t - 4*k + 22 = 0. Let d be t/(-7) - 2/(-7). Put d, -5, n in descending order. d, n, -5 Let v = 58 - 60. Sort v, 2, 4, 0. v, 0, 2, 4 Suppose -11 = -8*q + 5. Put -2, -5, q in decreasing order. q, -2, -5 Let l = 18.4 - 15. Let i = -1.6 - l. Sort 0.03, 4, i. i, 0.03, 4 Let a(u) = -u**2 - 7*u - 2. Let w be a(-7). Let z = -3 - w. Let i(y) = y**2 - y - 1. Let g be i(2). Sort 3, g, z in ascending order. z, g, 3 Suppose 0 = 3*a + 3*j - 9, -3*j = -a - 0*a - 1. Suppose a*x = -3*x. Put -0.2, x, -2 in ascending order. -2, -0.2, x Let j = 0 + -3. Suppose -5*w - q - q = -1, 3*w + 4*q + 5 = 0. Let c(y) = y - 11. Let s be c(13). Sort s, j, w. j, w, s Suppose i = -2, -3*c + c = -2*i + 6. Let v = 1 + -0.96. Let z = -0.96 - v. Sort 3, c, z in increasing order. c, z, 3 Let p = -2 + 1.95. Let m = -0.11 + 4.06. Let w = p - m. Sort 2, -2, w in descending order. 2, -2, w Let d be ((-1)/10)/(3/24). Sort 5, d, -0.5. d, -0.5, 5 Suppose 2*y - 4*w = -8, -2*y - 4 = 3*w - 24. Let i(r) = -r**3 + 4*r**2 - 3. Let x be i(y). Sort 4, 3, x in decreasing order. 4, 3, x Let w be (8/(-12))/(2/(-120)). Let b be 8/w - 16/5. Put 5, 4, b in ascending order. b, 4, 5 Let s = 35 - 30. Sort 2, -3, s. -3, 2, s Suppose 7 - 22 = -5*q. Put -4, 5, q in ascending order. -4, q, 5 Suppose -q + 0*q - 4 = 0. Let c be 0/(1 + -1 + -1). Put c, 4, q in increasing order. q, c, 4 Let g be (-2)/2 - 3/(-3). Suppose -3*a = -3*l - 9, 4*l = -3*a - 0*a - 5. Let k = l + 7. Sort g, -0.1, k. -0.1, g, k Let n = 7 - 2. Let q be (8 - n)/((-9)/(-15)). Sort 1, q, -2 in descending order. q, 1, -2 Let n(f) = f**3 + 8*f**2 + 6*f - 4. Let z be n(-7). Let h = z + -4. Let r = -8 + 10. Sort r, -3, h in descending order. r, h, -3 Let c be (3/(-9))/((-2)/18). Suppose 11 = -5*v - 3*b, c = -5*v + 3*b + 4. Let a be (-3)/((-3)/(-4)*2). Sort v, a, 1 in descending order. 1, v, a Let a = -7.8 + 2.8. Put a, 3, -4/19, -4/5 in decreasing order. 3, -4/19, -4/5, a Suppose -4*d = -3*d + 6. Let q be 2 + -17 + (3 - 0). Let p = q - -15. Sort -1, p, d in descending order. p, -1, d Suppose -3*c - 3 = 3*j, 2*c + 6 = -4. Suppose -j*u + 6 = -18. Let l = u + -7. Put 5, l, -2 in descending order. 5, l, -2 Let b(l) be the second derivative of l**5/20 + 2*l**4/3 + l**3 - 3*l**2/2 + 2*l. Let f be b(-7). Suppose f*k = 9 + 7. Sort -3, 3, k in decreasing order. k, 3, -3 Suppose 24 + 192 = 6*q. Suppose 4*b = 4*n - q, 5*n - 2*b = -7*b - 5. Put n, -1, -6 in decreasing order. n, -1, -6 Suppose 3*o - 4*x - x = 8, 5*o = 2*x + 7. Sort 9, o, -3, 2 in decreasing order. 9, 2, o, -3 Let u = -141.04 + 145. Let v = -0.04 - u. Let l = v - -8. Sort l, 0.1, 1 in increasing order. 0.1, 1, l Let g(h) = h**3 - h**2 - 2*h + 3. Let t be g(2). Sort 2, 0, -4, t. -4, 0, 2, t Suppose 0 = -w - 5*r + 19, -2*r + 71 = 5*w - r. Let f be -4 + 3 - w/(-10). Let y = -48 + 191/4. Put -0.4, f, y in decreasing order. f, y, -0.4 Suppose -5 = 5*q - 25. Sort 5, 33, q. q, 5, 33 Let t = -45 + 44.8. Sort t, 1, 4, 0.5 in increasing order. t, 0.5, 1, 4 Let b(v) be the third derivative of 0 + 0*v - 7/24*v**4 + 2*v**2 - 5/6*v**3 + 1/60*v**5. Let r be b(8). Sort 0, -1, r. -1, 0, r Suppose 2*j - 13 = -5. Sort -1, j, 6 in descending order. 6, j, -1 Let f(p) = p**3 - p**2 + p + 3. Let w be f(0). Suppose w*i + 4 = 4*i. Put i, 0, -3 in decreasing order. i, 0, -3 Let s = 81.7 - 82. Put -1, s, 5, 4 in decreasing order. 5, 4, s, -1 Let o be 10/4*24/15. Suppose 0 = -3*c + o*c - 2. Suppose -8 = -2*u - 2*h, -u - c*h + 7 = -0*u. Sort 3, 0, u in ascending order. 0, u, 3 Suppose 0*v = -v + 4. Let p be -1*1*9/(-9). Suppose -3*j + 14 = -p. Sort j, v, 3. 3, v, j Suppose 2*h + 3 + 1 = 0. Let d be (0 + -3)*h/6. Sort d, -3, 5. -3, d, 5 Suppose -2*u = x + 6, -u + 3*u + 4*x - 6 = 0. Let g be (-15)/6*(-28)/10. Let q = 3 - g. Sort 2, u, q in increasing order. u, q, 2 Let d(y) = 2*y**2 + 3*y. Let l be d(-2). Let v be (-10)/(-55) - (-126)/33. Suppose -5*q = x + 25, -v*x + 13 = -l*q + 3. Put 1, q, 0 in descending order. 1, 0, q Let o = 0.3 - 0.6. Let f = -0.7 - o. Let v be (-4)/(-2) - 39/15. Put v, -2, f in increasing order. -2, v, f Suppose 4*c - 21 = 39. Put 1, c, 3, 2 in descending order. c, 3, 2, 1 Let u = -6 + -12. Let m = u + 18. Sort m, -3/4, 1/6. -3/4, m, 1/6 Suppose 5*t = -0*v + v - 12, -4*v - 6 = -2*t. Let r be 1 - 1 - (0 - 4). Let p be -2*2/r*-5. Sort p, -4, v in increasing order. -4, v, p Let m = 2 + -4. Let a be -7 + m/3*-3. Let t = 2 + -3. Put t, -2, a in descending order. t, -2, a Suppose 3 = v - 0. Let q = -0.3 + -0.7. Sort v, q, -2 in descending order. v, q, -2 Let a = -168 + 169. Put a, -12, 2 in descending order. 2, a, -12 Let w = 39 + -43. Put w, -3, 1 in decreasing order. 1, -3, w Let y = -0.5 - -0.3. Let b = 0.8 - y. Let r be -1*(2 + 3/(-3)). Sort -5, b, r in increasing order. -5, r, b Let f = 0.7 - 5.7. Let u = 1.5 - -5.5. Let x = 6.6 - u. Sort x, f, 2/3 in ascending order. f, x, 2/3 Suppose -5*w - 4*d = -11, 2*w - 14 - 4 = -5*d. Sort w, -2, 2. -2, w, 2 Let k = -8 - -4. Let i = -8 + 7.72. Let q = i + -0.02. Sort q, 5, k in ascending order. k, q, 5 Let f(i) = i + 1. Let b be f(-6). Suppose -4*w + 23 = -33. Put b, w, -4 in descending order. w, -4, b Let n = 9.63 + 0.37. Sort -0.2, n, 3. -0.2, 3, n Let z = 5.3 - 0.3. Let i = 4.9 - z. Put 1/4, -0.3, i in decreasing order. 1/4, i, -0.3 Let o = -34/7 - -428/91. Sort 3/4, o, 2/11. o, 2/11, 3/4 Let d be (-24)/4*6/(-9). Suppose 2*c - 6 = d. Put 3, -2, c in increasing order. -2, 3, c Let c = 7 + -9. Let r = -8 - -13. Put c, r, -2/5 in increasing order. c, -2/5, r Suppose -4*q + 30 = 5*n, -2*n + 4*n + 4*q = 24. Put -6, n, 1 in decreasing order. n, 1, -6 Let b = -14 - -11. Put 2, b, 3, 0.2 in decreasing order. 3, 2, 0.2, b Let o be 6/(-1) + 18/(-30)*5. Put o, -5, 3 in ascending order. o, -5, 3 Let y = -195 - -785/4. Let j = -0.3 + -0.7. Sort y, 1/2, j in decreasing order. y, 1/2, j Suppose 2*v + 3 = -v. Suppose 0 = -3*z + 4*c - 19 - 8, 2*c - 11 = z. Sort 1, z, v in increasing order. z, v, 1 Let u = -42 - -9. Let d be (-60)/u - (-6)/33. Put 1, d, -4 in ascending order. -4, 1, d Let z = -0.64 + -0.36. Let d = -1157/15 + 77. Sort -5, d, z in ascending order. -5, z, d Let f be (-30)/(-5) + (0 - 1). Suppose 0*k + f*k - 15 = 0. Sort 5, -2, k in decreasing order. 5, k,
{ "pile_set_name": "DM Mathematics" }
: 13, d: 3}. What is prob of picking 4 t? 11/28 Three letters picked without replacement from {g: 1, w: 1, o: 1, f: 1, j: 1}. What is prob of picking 1 f, 1 o, and 1 j? 1/10 What is prob of picking 1 f and 2 i when three letters picked without replacement from {z: 2, r: 1, s: 1, i: 2, f: 2}? 1/28 Three letters picked without replacement from oqoapqqooqopoaaoo. Give prob of picking 2 q and 1 o. 6/85 What is prob of picking 2 t and 2 v when four letters picked without replacement from {v: 7, j: 2, t: 6}? 3/13 Two letters picked without replacement from {z: 7, l: 3, h: 4, o: 2, v: 3}. Give prob of picking 1 o and 1 z. 14/171 Calculate prob of picking 1 x, 1 g, and 1 p when three letters picked without replacement from vgvpxcxccxcxxg. 5/182 What is prob of picking 2 p when two letters picked without replacement from psppszssppzspp? 3/13 Two letters picked without replacement from {x: 14, b: 1}. What is prob of picking 2 x? 13/15 Two letters picked without replacement from {a: 5, t: 5, o: 8, i: 1}. What is prob of picking 1 i and 1 o? 8/171 Three letters picked without replacement from vgzgzvvzv. Give prob of picking 1 g and 2 v. 1/7 Two letters picked without replacement from wwwpwrppow. What is prob of picking 2 w? 2/9 What is prob of picking 2 i when two letters picked without replacement from shhaahiisaiasshhtsta? 3/190 Two letters picked without replacement from jttttttjttjjtjjjtjjt. Give prob of picking 1 j and 1 t. 99/190 Calculate prob of picking 1 a and 1 d when two letters picked without replacement from daaaaaadaaaaaad. 12/35 What is prob of picking 1 b, 1 z, and 1 s when three letters picked without replacement from kkkbkkkbkzkszbkkzb? 1/68 What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, t: 7, l: 3, v: 1}? 1/22 Three letters picked without replacement from oroo. Give prob of picking 3 o. 1/4 Four letters picked without replacement from {r: 6, v: 4}. What is prob of picking 2 v and 2 r? 3/7 What is prob of picking 1 r and 1 l when two letters picked without replacement from rllr? 2/3 Three letters picked without replacement from {l: 1, r: 2, w: 1, o: 1}. What is prob of picking 1 l, 1 o, and 1 r? 1/5 What is prob of picking 1 c and 1 k when two letters picked without replacement from {x: 2, k: 1, c: 1, j: 1, i: 2, s: 1}? 1/28 Calculate prob of picking 1 y, 2 u, and 1 d when four letters picked without replacement from uuudyrxrylrrux. 12/1001 Three letters picked without replacement from {n: 3, h: 1, b: 2, i: 1, s: 2, d: 3}. What is prob of picking 1 i and 2 b? 1/220 What is prob of picking 1 v and 1 r when two letters picked without replacement from qnyvqgry? 1/28 Three letters picked without replacement from {a: 5, s: 2}. What is prob of picking 1 a and 2 s? 1/7 Two letters picked without replacement from lvvgvlvagvgavvgvglgg. Give prob of picking 1 g and 1 a. 7/95 Three letters picked without replacement from zbib. What is prob of picking 3 z? 0 Three letters picked without replacement from {v: 2, f: 2, q: 1, x: 4, c: 1, y: 4}. Give prob of picking 2 f and 1 c. 1/364 What is prob of picking 2 p and 2 x when four letters picked without replacement from apnapaaapnaaxp? 0 Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {f: 1, i: 1, b: 1, x: 2}. 1/5 What is prob of picking 1 y, 1 s, and 1 j when three letters picked without replacement from {w: 6, j: 1, s: 6, y: 1, g: 1}? 6/455 Three letters picked without replacement from {l: 5, f: 1, u: 4, b: 8}. What is prob of picking 1 u, 1 l, and 1 b? 10/51 Three letters picked without replacement from {d: 1, a: 1, g: 1, x: 1, f: 1}. Give prob of picking 1 d, 1 f, and 1 a. 1/10 Four letters picked without replacement from nnppjpnjjjpnmnm. What is prob of picking 1 m, 2 j, and 1 n? 4/91 What is prob of picking 1 l and 1 a when two letters picked without replacement from {d: 2, a: 4, j: 4, l: 1, z: 3}? 4/91 Calculate prob of picking 2 b and 1 z when three letters picked without replacement from jbjjzbbb. 3/28 Calculate prob of picking 2 c when two letters picked without replacement from cllpcp. 1/15 Calculate prob of picking 2 v and 2 j when four letters picked without replacement from zjzjzjzvjvzzj. 2/143 Calculate prob of picking 2 l when two letters picked without replacement from illnxdk. 1/21 Three letters picked without replacement from iswki. What is prob of picking 1 i, 1 k, and 1 s? 1/5 Calculate prob of picking 2 d when two letters picked without replacement from hhdjhhdcchjddjchj. 3/68 Two letters picked without replacement from {a: 3, m: 2}. Give prob of picking 2 m. 1/10 Calculate prob of picking 1 g and 3 c when four letters picked without replacement from coogocgc. 1/35 What is prob of picking 1 b and 1 u when two letters picked without replacement from {b: 1, f: 2, s: 1, u: 5, o: 3}? 5/66 What is prob of picking 2 d when two letters picked without replacement from hdhhdpdhh? 1/12 Two letters picked without replacement from {g: 4, q: 2}. Give prob of picking 2 g. 2/5 Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, t: 13}. 1/40 Two letters picked without replacement from vvzvzvtvvxvvsvvvzvvv. What is prob of picking 1 z and 1 x? 3/190 Calculate prob of picking 2 b and 2 c when four letters picked without replacement from {r: 5, b: 5, w: 1, c: 4}. 4/91 Four letters picked without replacement from {e: 2, d: 3, p: 3}. What is prob of picking 2 e and 2 d? 3/70 Four letters picked without replacement from ttdttwqyddlydty. Give prob of picking 1 q and 3 y. 1/1365 What is prob of picking 4 f when four letters picked without replacement from lflffflflff? 7/66 Calculate prob of picking 2 u when two letters picked without replacement from {b: 2, u: 2, e: 5, z: 6, j: 3}. 1/153 Two letters picked without replacement from prwrarrea. Give prob of picking 2 a. 1/36 Two letters picked without replacement from vkett. What is prob of picking 2 t? 1/10 Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {m: 8, s: 1, q: 11}. 4/95 What is prob of picking 1 v, 1 u, and 1 a when three letters picked without replacement from {u: 1, v: 3, g: 1, a: 1, b: 1}? 3/35 Four letters picked without replacement from {o: 4, p: 4, x: 8}. Give prob of picking 4 o. 1/1820 Four letters picked without replacement from ddddvvvvvdddvddddd. Give prob of picking 4 d. 11/68 Two letters picked without replacement from rhjshehshjsjnjr. What is prob of picking 1 e and 1 r? 2/105 Three letters picked without replacement from {b: 1, i: 7, f: 11}. Give prob of picking 3 i. 35/969 Four letters picked without replacement from {g: 3, y: 7}. Give prob of picking 4 y. 1/6 Calculate prob of picking 1 u and 1 g when two letters picked without replacement from yug. 1/3 What is prob of picking 3 j when three letters picked without replacement from {z: 1, y: 9, u: 2, m: 1, j: 3, q: 3}? 1/969 What is prob of picking 1 y and 1 a when two letters picked without replacement from {w: 1, z: 1, a: 6, e: 5, y: 1}? 6/91 Calculate prob of picking 1 x and 3 z when four letters picked without replacement from {s: 3, l: 1, w: 3, z: 8, x: 3}. 14/255 Calculate prob of picking 2 q and 1 y when three letters picked without replacement from qqqyyqqqqqqqqyq. 198/455 Two letters picked without replacement from {l: 6, n: 9, j: 1, f: 1, z: 2}. Give prob of picking 1 z and 1 l. 4/57 What is prob of picking 2 l and 2 c when four letters picked without replacement from ccclclllllcc? 5/11 What is prob of picking 1 t and 2 c when three letters picked without replacement from tatccaatchttc? 15/143 Four letters picked without replacement from {u: 12, p: 7}. What is prob of picking 2 p and 2 u? 231/646 Two letters picked without replacement from itsiiwtkikt. Give prob of picking 2 k. 1/55 Two letters picked without replacement from pbupbpbpbbp. Give prob of picking 1 b and 1 p. 5/11 Three letters picked without replacement from {h: 1, e: 2, r: 1, b: 1, n: 4, j: 3}. Give prob of picking 1 b, 1 n, and 1 j. 3/55 Two letters picked without replacement from dxssscxcdxsxxm. What is prob of picking 2 c? 1/91 What is prob of picking 2 r and 2 n when four letters picked without replacement from rrrrnnnrnnrr? 14/33 Calculate prob
{ "pile_set_name": "DM Mathematics" }
= -81088*s + 162263. Give v(2). 87 Let k(w) = 5177*w - 108702. Give k(21). 15 Let x(a) = 43763*a + 1094075. Determine x(-25). 0 Let f(g) = g**3 + 215*g**2 + 640*g + 761. What is f(-212)? -87 Let y(t) = -2*t**2 - 38417*t + 115239. What is y(3)? -30 Let o(c) = -4468*c + 2368036. Give o(530). -4 Let c(h) = 2*h**3 + 5*h - 33. Determine c(4). 115 Let n(j) = -229*j**2 + 795*j + 6. Give n(2). 680 Let t(j) = 999*j - 978. Give t(0). -978 Let b(h) = 14*h**2 - 100*h + 131. Calculate b(0). 131 Let f(r) = -48*r**3 - r**2 - 12449*r - 12447. Calculate f(-1). 49 Let z(k) = 968*k**2 + 42596*k + 128. Give z(-44). -48 Let n(l) = 1277*l + 95754. What is n(-75)? -21 Let q(r) = 7*r**3 + 1790*r**2 + 6551*r - 206. What is q(-252)? 46 Let p(s) = -28500*s - 826512. Give p(-29). -12 Let i(u) = -315*u + 7043. Determine i(23). -202 Let g(b) = -b**2 + 4209*b + 33644. Give g(-8). -92 Let j(f) = -741*f + 9014. Give j(13). -619 Let w(o) = -485*o - 536. What is w(-5)? 1889 Let v(l) = 108*l**2 + 219*l - 704. What is v(4)? 1900 Let q(l) = -652*l - 344. What is q(-1)? 308 Let g(u) = 54563*u + 1309497. Give g(-24). -15 Let b(j) = 7*j**2 - 69*j - 548. Determine b(16). 140 Let m(n) = -10645*n**2 + 170318*n + 21. What is m(16)? -11 Let g(a) = -a**3 + 10*a**2 - 33*a - 109. What is g(-2)? 5 Let k(p) = -p**3 - 22*p**2 + 304*p - 169. Give k(-32). 343 Let x(y) = -3395*y - 291903. Calculate x(-86). 67 Let z(a) = a**2 - 354*a - 1074. Give z(357). -3 Let r(l) = -2*l**2 - 12*l + 2107. What is r(-37)? -187 Let f(d) = d**2 - 319*d + 7435. Calculate f(25). 85 Let u(t) = t**3 + 13*t**2 + 592*t + 2249. Determine u(-4). 25 Let b(y) = 2*y**3 - 79*y**2 + 709*y + 742. Give b(24). -98 Let a(w) = -516*w - 24857. Give a(-48). -89 Let m(o) = 388*o**2 - 7360*o + 29. Calculate m(19). 257 Let y(t) = -t**3 - 220*t**2 + 1849*t + 6066. Calculate y(-228). 366 Let x(o) = 12*o**2 - 1678*o - 17969. Give x(-10). 11 Let v(f) = 2*f**3 - 475*f**2 - 182*f - 13327. Determine v(238). 1 Let j(f) = -f**3 - 11*f**2 + 49719*f + 695688. Give j(-14). 210 Let d(b) = b**3 - 47*b**2 - 69*b + 972. Determine d(-5). 17 Let n(u) = 398*u**2 + 308*u - 300. What is n(1)? 406 Let c(w) = 7*w**2 + 70*w + 126. Give c(-3). -21 Let b(d) = 56048*d + 504408. Give b(-9). -24 Let s(d) = -d**2 + 99*d - 1046. What is s(8)? -318 Let c(y) = y**3 - 80*y**2 - 4493*y + 357377. Determine c(81). 5 Let b(o) = -21272*o - 1297618. Give b(-61). -26 Let k(m) = 7*m**2 - 208*m + 350. Calculate k(30). 410 Let x(o) = o**3 - 32*o**2 + 14*o + 950. What is x(28)? -1794 Let z(q) = 5*q + 1844. What is z(35)? 2019 Let a(g) = 13*g**2 + 3962*g - 4. Determine a(0). -4 Let n(v) = -v**3 - 26*v**2 - 110*v + 192. Determine n(-20). -8 Let w(x) = 74*x**2 - 1701*x - 1754. Determine w(-1). 21 Let p(s) = s**3 - 80*s**2 - 922*s - 2382. Give p(-4). -38 Let r(c) = -6*c**2 - 136*c - 266. Give r(-3). 88 Let a(p) = -3*p**3 + 551*p**2 - 336*p - 5444. What is a(183)? 46 Let a(d) = -3590*d + 531302. Determine a(148). -18 Let i(d) = -27*d**2 - 465*d - 21. Determine i(-16). 507 Let d(j) = -j**3 - 242*j**2 - 24*j + 165584. What is d(-239)? -43 Let f(z) = -16*z**3 + 1014*z**2 - 7829*z - 15. Calculate f(9). -6 Let h(z) = 609*z**2 + 3027*z - 91. Give h(-5). -1 Let o(n) = -2887*n**2 - 115480*n - 14. Give o(-40). -14 Let l(j) = -1630*j + 805168. Calculate l(494). -52 Let j(o) = 1829*o + 24635. Give j(-14). -971 Let y(w) = 3*w**3 + 34*w**2 - 9908*w - 99469. Give y(-10). 11 Let n(w) = 3*w**3 + 380*w - 2386. What is n(6)? 542 Let m(a) = a**3 + 5*a**2 - 23*a - 16. What is m(-8)? -24 Let x(a) = -a**2 - 234*a - 7475. Determine x(-38). -27 Let k(v) = 3*v**3 + 281*v**2 + 995*v + 237. Calculate k(-90). -213 Let d(l) = 113*l - 3447. Calculate d(50). 2203 Let k(f) = 2*f**2 - 2656*f + 13235. Give k(5). 5 Let r(s) = 14*s**3 - 289*s**2 - 108*s + 69. Calculate r(21). 6 Let w(p) = 91*p**2 - 2363*p + 14992. Determine w(11). 10 Let l(c) = 22*c**3 + 97*c**2 + c + 2. What is l(-5)? -328 Let i(s) = -23*s**2 + 311*s - 935. Calculate i(3). -209 Let t(p) = 12932*p - 1215621. What is t(94)? -13 Let t(i) = 60*i**2 + 1235*i + 154. Calculate t(-20). -546 Let j(c) = 112*c - 1315. What is j(4)? -867 Let g(r) = 1505*r + 70843. What is g(-47)? 108 Let f(a) = a**3 - 70*a**2 - 22*a + 6279. Determine f(69). 0 Let k(b) = 18216*b - 145701. Give k(8). 27 Let o(p) = 479*p - 25040. Calculate o(49). -1569 Let r(y) = y**3 + 26*y**2 + 114*y - 126. What is r(-20)? -6 Let x(m) = -37*m**2 + 390*m + 1709. Give x(12). 1061 Let w(x) = 32*x**3 - x**2 - 143*x - 445. Calculate w(-3). -889 Let w(h) = 963*h + 121439. What is w(-126)? 101 Let s(u) = -271*u**2 + 1463*u - 548. Calculate s(5). -8 Let t(x) = -x**3 + 110*x**2 - 303*x - 33329. Give t(104). 55 Let m(p) = -275*p - 36802. What is m(-133)? -227 Let w(k) = 12*k**2 + 337*k + 428. Calculate w(-14). -1938 Let r(j) = j**3 + 215*j**2 + j + 332. Give r(-215). 117 Let h(w) = 2*w**3 - 11*w**2 + 18*w + 19. What is h(5)? 84 Let t(j) = 117*j**2 - 27152*j - 277. Calculate t(232). -2133 Let v(f) = -3736*f + 70964. Calculate v(19). -20 Let j(n) = n**3 - 132*n**2 - 15812*n - 571. What is j(-76)? -267 Let p(t) = -21*t**3 - 4*t**2 - 8*t - 26. Determine p(4). -1466 Let w(f) = 17*f**2 - 650*f - 74403. Determine w(88). 45 Let w(k) = 2497889*k + 89924005. Determine w(-36). 1 Let m(i) = 2534*i - 40521. Give m(16). 23 Let c(q) = -38*q**3 - 18*q + 64. Give c(3). -1016 Let u(q) = -188*q + 1955. Give u(13). -489 Let y(d) = -2*d**3 + d**2 + 204*d + 366. Determine y(-9). 69 Let r(a) = 2429*a + 119000. Calculate r(-49). -21 Let j(f) = 18377*f + 735082. Determine j(-40). 2 Let a(t) = -779*t + 352867. Determine a(453). -20 Let k(t) = 3*t**3 + 4387*t**2 + 180329*t - 15619. Determine k(-1420). 1 Let q(o) = -167267*o + 1338135. Give q(8). -1 Let a(n) = -n**3 - 182*n**2 - 1811*n - 261183. Calculate a(-180). -3 Let j(o) = o**3 - 68*o**2 - 200*o + 9072. Determine j(69). 33 Let x(a) = 5*a**2 + 546*a - 5185. What is x(-118)? 7 Let z(h) = -381*h + 57954. What is z(152)? 42 Let c(i) = 3441*i - 3748. Calculate c(1). -307 Let f(d) = d**3 + 7*d**2 + 266*d + 1925. Calculate f(-7). 63 Let k(c) = -148*c + 1394. Determine k(-10). 2874 Let y(n) = -39813*n + 238011. Calculate y(6). -867 Let d(l) = -2*l**2 + 117*l + 5431. Calculate d(-40). -2449 Let q(f) = -2*f**3 + 17*f**2 - 62*f + 301. Give q(7). 14 Let c(u) = -657*u**3 - 90*u**2 - 85*u + 4. What is c(-1)? 656 Let y(t) = -7*t**3 - 418*t**2 + 137*t + 1039. Determine y(-60). 19 Let t(o) = o**3 - 269*o**2 + 1430*o - 384680. Give t(269). -10 Let y(n) = n**2 + 161*n + 4394. Calculate y(-66). -1876 Let w(a) = -4*a**3 + 22*a**2 + 179*a - 687. What is w(8)? 105 Let t(y) = 27*y**3 + 403*y**2 - 49*y + 13. Calculate t(-15). 298 Let r(f) = f**3 - 466*f**2 + 3197*f + 5957. Give r(459). -1387 Let x(t) = -2*t**3 + 928*t**2 + 2733*t + 32240. What is x(467)? 17 Let w(u) = -2*u**2 + 115*u + 302. Calculate w(62). -256 Let c(n) = -3*n**3 + 11*n**2 + 1247*n - 3751. Calculate c(3). 8 Let m(i) = -i**2 - 36292*i - 435352. Calculate m(-12). 8 Let i(m) = -113*m - 27416. Give i(-202). -4590 Let v(p) = -1809*p - 160971. What is v(-89)? 30 Let y(g) = -59*g**3 - 455*g**2 + 141*g + 42. Give y(-8). 2 Let x(v) = v**3 + 7*v**2 - 49*v - 46. Give x(-9). 233 Let x(w) = -11*w**2 - 3367*w + 6751. Calculate x(2). -27 Let h(n) = -233850*n - 467727. Give h(-2). -27 Let k(r) = r**3 + 11*r**2 + 244*r - 1625. What is k(5)? -5 Let f(y) = 147*y + 13721. What is f(-94)? -97 Let j(l) = l**3 + 15*l**2 + 161*l + 3. Give j(-15). -2412 Let v(b) = -b**3 + 47*b**2 - 298*b + 749. Calculate v(40). 29 Let r(m) = -1562*m - 1324. What is r(-1)? 238 Let r(u) = 2*u**2 + 578*u - 13058. What is r(-310)? -38 Let b(g) = -g**3 + 78*g**2 - 1558*g + 1802. What is b(41)? 121 Let q(o) = -74*o**2 + 1718*o - 280. Determine q(23). 88 Let d(a) = 3*a**3 - 6*a**2 + 2153*a - 12953. Calculate d(6). 397 Let p(n) = -n**3 - 398*n**2 + 4076*n - 16. Give p(10). -56 Let j(s) = 2*s**2 + 3493*s - 869634. Calculate j(221). 1 Let u(p) = 798*p - 94344. Calculate u(119). 618 Let a(y) = -2817*y - 459164. Determine a(-163). 7 Let x(u) = -u**2 - 123*u - 3227. Calculate x(-38). 3 Let d(c) = 2*c**3 - 131*c**2 + 473*c - 18136. What is d(64)? -152 Let n(g) = -11*g**2 - 809*g - 998. Determine n(-71). 990 Let k(y) = -2*y**2 + 126*y - 1476. Calculate k(44). 196 Let c(p) = -13795*p - 26208
{ "pile_set_name": "DM Mathematics" }
(h) = -h + 4. Let n(i) = -5*j(i) - 3*m(i). Let t(b) = -3*b - 2. Let c = 3 - 11. Let r = c - -4. Determine r*t(s) - 7*n(s). -2*s + 1 Let n(c) = -15*c + 3. Let j(g) = -7*g + 1. Calculate -9*j(p) + 4*n(p). 3*p + 3 Let u(p) = -4*p**2 - 5*p - 9. Let i(o) = -5*o**2 - 6*o - 8. Calculate 5*i(w) - 6*u(w). -w**2 + 14 Let q(p) = -p**3 + p - 1. Let s(c) = 19*c**3 + 5*c - 6. Determine -5*q(n) + s(n). 24*n**3 - 1 Let f be 16/3 + 16/24. Let v(u) = u - 1. Let m(x) = -12*x - 2. Let y(n) = -m(n) - 5*v(n). Let i(g) = 4*g + 4. Determine f*y(l) - 11*i(l). -2*l - 2 Let i(n) = -5*n**2 + 2*n. Let h(v) = 110*v**2 - 45*v. Let m(r) = 2*h(r) + 45*i(r). Let l(w) = -9*w**2. Let c be 6/9*198/12. Give c*m(u) - 6*l(u). -u**2 Let o(r) = r**3 + 2*r**2 + 2*r. Let n(f) = -6*f**3 - 8*f**2 - 13*f. Let w(y) = 6*y**3 + 9*y**2 + 13*y. Let h(g) = 4*n(g) + 5*w(g). Calculate -6*h(v) + 39*o(v). 3*v**3 Let n(i) = -12*i. Let x(l) = -36*l. Determine -8*n(k) + 3*x(k). -12*k Let c(g) = g - 1. Let o = 27 + -26. Let k(b) = -2*b**2 - 6*b + 6. Suppose -30 = -7*p + 2*p. What is o*k(t) + p*c(t)? -2*t**2 Let j(v) = v**2 + v + 5. Let t(b) = 8*b**2 + 8*b + 32. Let l(n) = -4*n**2 - 4*n - 16. Let i(o) = 5*l(o) + 3*t(o). Give -3*i(h) + 10*j(h). -2*h**2 - 2*h + 2 Let x(r) = -3*r**3 - r**2 - r. Let b(k) = -k - 1. What is -b(f) - x(f)? 3*f**3 + f**2 + 2*f + 1 Let y(n) = 3*n - 2*n + 0*n. Let m = -73 + 76. Let f(z) = z + 1. What is m*y(a) - f(a)? 2*a - 1 Let b(v) = 2*v**3 + 4*v**2 + 4*v - 15. Let n(y) = -y**2 - y + 1. Determine -b(d) - 4*n(d). -2*d**3 + 11 Let y(m) = 27*m**2 - 2. Let l(c) = -1943*c**2 + 145. Give 4*l(d) + 290*y(d). 58*d**2 Let b(f) = -f**2 - 2*f + 1. Let w(y) = 3*y - 3. Let k(r) = -r + 1. Let h(c) = 8*k(c) + 3*w(c). Let v(m) = 6*m - 40. Let o be v(7). Determine o*b(n) + 3*h(n). -2*n**2 - n - 1 Let l(x) = 4*x**2 - 3*x + 7. Let g(n) = n**2 - n + 1. What is -6*g(k) + l(k)? -2*k**2 + 3*k + 1 Let h(b) = 8*b**3 - 6*b**2 + 6*b + 8. Let g(o) = -7*o**3 + 5*o**2 - 6*o - 7. Determine 6*g(k) + 5*h(k). -2*k**3 - 6*k - 2 Let q(n) be the third derivative of -n**6/60 + 7*n**5/60 - n**4/8 + 7*n**3/6 + 3*n**2. Let h(f) = -f**3 + 4*f**2 - 2*f + 4. What is -7*h(a) + 4*q(a)? -a**3 + 2*a Let g(u) = -5*u. Let v(b) = 24*b. Let l = -1 + -1. Let d be l + 0 - (6 - 11). Determine d*v(q) + 14*g(q). 2*q Let h(k) = -17*k. Let n(v) = -85*v. Determine 11*h(x) - 2*n(x). -17*x Let f(s) = -3*s**2 - 2*s - 3. Let a be 24/7 + 27/(-63). Let b(g) = g**2 + g + 1. Give a*f(n) + 8*b(n). -n**2 + 2*n - 1 Let t(z) = z**3 + 8*z**2 - 8*z + 6. Let w be 18/7 - (-9)/21. Let g(h) = -3*h**2 + 3*h - 2. Calculate w*t(i) + 8*g(i). 3*i**3 + 2 Let n(c) = -c**2 - 9*c - 11. Let p be n(-8). Let v(g) = g**2 + 1. Let u(l) be the second derivative of l**4/3 + 3*l**2/2 + l. Calculate p*v(i) + u(i). i**2 Let r(p) = 2091*p**3 - 164*p**2 - 164. Let n(b) = -38*b**3 + 3*b**2 + 3. Give 164*n(a) + 3*r(a). 41*a**3 Let v(n) = 16*n**3 + 10*n**2 - 10. Let m(z) = 5*z**3 + 3*z**2 - 3. Let i(w) = 10*m(w) - 3*v(w). Let f(r) = -r**3. Calculate 3*f(d) - i(d). -5*d**3 Let n(p) = -7*p**3 - 7*p**2 - 6*p + 6. Let z(i) = 15*i**3 + 15*i**2 + 13*i - 13. Calculate -13*n(l) - 6*z(l). l**3 + l**2 Let q(t) = 4*t**3 + 5*t**2 + t + 5. Let r = 21 - 23. Let o(f) = -2*f**3 - 2*f**2 - f - 2. Determine r*q(x) - 5*o(x). 2*x**3 + 3*x Let p(z) = 24*z - 3. Let q(s) = 25*s - 4. Calculate 5*p(u) - 4*q(u). 20*u + 1 Let p(b) = 4*b**2. Let v(m) = 5*m**2. Let y(i) = 4*p(i) - 3*v(i). Let o(n) = 12*n**2. Let w(d) = d**3 + 7*d**2 - d + 3. Let r be w(-7). Calculate r*y(l) - o(l). -2*l**2 Let o(h) = 2*h + 3. Let j(p) = 1. Let z(t) = -6*j(t) + o(t). Let s = -10 + 15. Let g = 9 - 5. Let a(l) = -2*l + 4. What is g*a(r) + s*z(r)? 2*r + 1 Let v(t) = 7*t - 2. Let i(x) = 0*x + 0*x - x. Let u(k) = k**2 - 5*k - 7. Let o be u(6). Let m be ((-25)/20)/(o/(-4)). Determine m*i(j) - v(j). -2*j + 2 Let f(j) = -j - 1. Let a(s) = -6*s + 3. Give 2*a(b) + 4*f(b). -16*b + 2 Let w(z) = 1. Suppose -2*k + 15 = k. Let y(h) be the first derivative of 0 + 1 + h**2 + h - 2*h**2 - k*h. What is -3*w(a) - y(a)? 2*a + 1 Let z(v) = v**2 - 13. Suppose 4*c = -0*c - 4*m + 316, 3*c - 229 = 5*m. Let a(f) = 1. Calculate c*a(r) + 6*z(r). 6*r**2 Let k(x) = -39*x**2 - 10 + 5*x + 7 - 5*x**3 + 36*x**2. Let y(n) = -16*n**3 - 10*n**2 + 16*n - 10. Let f = 20 + -10. Give f*k(p) - 3*y(p). -2*p**3 + 2*p Let v(a) be the third derivative of -a**5/60 - a**4/24 - a**3/6 - 11*a**2. Let o(h) be the first derivative of -2*h**3/3 - h**2 - h - 1. Give -o(m) + v(m). m**2 + m Let x(k) = 8*k - 7. Let q(d) = 7*d - 6. Suppose 4*f - 49 = -3*f. Let b(v) = v**3 - 4*v**2 + 2*v - 3. Let w be b(3). Give f*q(l) + w*x(l). l Let m(l) = -l. Let n be m(-5). Let p(t) = -6*t**2 - 7. Let g(h) = h**2 + 5*h - 4. Let z(a) = a - 1. Let s(o) = -g(o) + 5*z(o). What is n*s(u) - p(u)? u**2 + 2 Let k(o) = 8. Let a(d) = -d + 1. What is 4*a(t) - k(t)? -4*t - 4 Let h(x) = -4*x**2 + 3*x. Let w(q) = q + 1 - 1 + 3*q - 5*q**2. Let b(l) = 6*h(l) - 5*w(l). Let o = -6 + 14. Let r(z) = 2*z**2 - 3*z. What is o*b(d) - 5*r(d)? -2*d**2 - d Let r(q) = -13*q + 10. Let k(u) = -13*u + 9. Give 7*k(s) - 6*r(s). -13*s + 3 Let m(g) = -3*g**2 - g - 1. Let x(w) = 7*w**2 + 3*w + 2. Determine 9*m(h) + 4*x(h). h**2 + 3*h - 1 Let j(h) = h**2 + h - 1. Let q(i) = -9*i + 3. What is 2*j(d) + q(d)? 2*d**2 - 7*d + 1 Let u(b) = 7*b**3 + 5*b + 5. Suppose -4*h = -2*h + 4. Let m(q) = 3*q**3 + 2*q + 2. Determine h*u(c) + 5*m(c). c**3 Let k(c) = 8*c + 10. Let y(v) = v. Determine k(w) - 6*y(w). 2*w + 10 Let z(t) be the second derivative of t**4/12 - t**2/2 + t + 1. Let a(k) = 3*k**3 + 3*k**2 + 2*k - 3. Give -a(m) + 3*z(m). -3*m**3 - 2*m Let t(p) = -4. Let g(n) = -n - 9. Determine -3*g(u) + 7*t(u). 3*u - 1 Let i(b) = 8*b - 3. Let w(h) = 16*h - 5. Calculate -7*i(f) + 4*w(f). 8*f + 1 Let k(v) = -4*v**3 + 3*v**2 + v - 2. Let z(w) be the second derivative of 5/2*w**2 + 0 + 9/20*w**5 + w - 1/2*w**3 - 7/12*w**4. Give 5*k(y) + 2*z(y). -2*y**3 + y**2 - y Let q(l) = l**3 - 2 + 1 + l**3 + 5*l**2 - 4. Let r(c) = -2*c**3 - 6*c**2 + 6. Determine 6*q(n) + 5*r(n). 2*n**3 Let t(u) = -3*u. Let v(l) = 0*l + 0*l - 4*l. Let p = 11 + -7. Give p*v(r) - 5*t(r). -r Let i(l) = -l. Let k be (-6)/(-27) + (-76)/18. Let b(a) = -5*a + 1. What is k*i(c) + b(c)? -c + 1 Let m(j) = -31*j**3 + 17*j**2 - 11*j + 13. Let c(f) = -15*f**3 + 8*f**2 - 5*f + 6. Determine 13*c(x) - 6*m(x). -9*x**3 + 2*x**2 + x Let k(p) = 6*p + 3. Let a(g) = -g. Let f(x) = 11*x + 7. Let y(r) = 2*a(r) - f(r). Give 9*k(h) + 4*y(h). 2*h - 1 Let q(u) = 5*u**2 - u. Let m(b) = 14*b**2 - 4*b. Determine -3*m(d) + 8*q(d). -2*d**2 + 4*d Let o(v) = -v + 1. Let n be (1/2)/((-2)/4). Let m(p) = 3*p**3 + 4*p + 3 - p**3 - 6*p - 3*p. Give n*m(b) + 3*o(b). -2*b**3 + 2*b Let y(d) = -2. Let o(g) = g + 4. Let b(x) = -2*o(x) - 3*y(x). Let s(p) = -4*p - 5. Give 5*b(v) - 2*s(v). -2*v Let h(b) = -3*b**2 - 4*b - 23. Let o(r) = r**2 + r + 8. What is 4*h(w) + 11*o(w)? -w**2 - 5*w - 4 Let d(q) = 2*q - 5. Let m(w) = 4*w - 10. Let p(h) = -5*d(h) + 2*m(h). Let b(n) = -2*n + 4. Calculate 6*b(a) - 5*p(a). -2*a - 1 Let j(o) = o**2 - 1. Let m(a) be the first derivative of -7*a**3/3 - a**2 + 7*a + 7. Calculate -6*j(p) - m(p). p**2 + 2*p - 1 Let s(a) = 15*a. Let x = -20 - -16. Let m(j) = -7*j. What is x*s(r) - 9*m(r)? 3*r Let j(v) = 13*v**3. Let p(d) = -d**3. Give -j(m) + 2*p(m). -15*m**3 Let n(w) = -14*w - 9. Let a(b) = -7*b - 5. Calculate 7*a(y) - 4*n(y). 7*y + 1 Let y be 16/6*45/20. Let n(q) = 7 - 5*q**2 + q**2 - q**2. Let o(s) = -237*s**2 - 2*s + 235*s**2 + 3 + 2*s. What is y*n(t) - 14*o(t)? -2*t**2 Let y(a) = -77*a**2 + 66*a. Let d(t) = -6*t**2 + 5*t. Give 66*d(v) - 5*y(v). -11*v**2 Let t(o) = -o + 24. Let f(u) = u - 25. Give -6*f(q) - 7*t(q). q - 18 Let l(m) = -3*m + 4. Let s = -2 + 2. Suppose u + 0*u + 5 = s. Let v(r) = -r + 1. Give u*v(q) + l(q). 2*q - 1 Let a(b) = -b**3 - b**2 + b + 1. Let m(p) = -10*p**3 - 9*p**2 + 9*p + 5. Determine 18*a(s) - 2*m(s). 2*s**3 + 8 Let g(a) = -2*a**2 - 3. Let j(q) = 2*q**2 + 2. Let b(l) = l**2 + 4*l - 4. Let w be b(-4). Let k be w/(-10) - (-34)/(-10). Give k*g(m) - 4*j(m). -2*m**2 + 1 Let h(a) = 3*a + 3*a - a + 284 - 288. Let m(v) = -30*v + 25. What is 25*h(p) + 4*m(p)? 5*p Let y(q) be the third derivative of -q**4/24 - 2*q**3/3 + 12*q**2. Let o(v) = v + 1. Let i = 1 - 0. Calculate i*y(x
{ "pile_set_name": "DM Mathematics" }
l*m = 6 + t for m. 2 Suppose 3*f = f + 8, 4*s = 3*f - 88. Let y(j) = -30 + 2*j**2 + 22*j - 5*j - 6 - j**2. Let w be y(s). Solve w = 3*p - 1 for p. 1 Suppose 3*u - 4*u = -37. Let d be (979/(-33) - 1) + (-3)/9. Let q = u + d. Solve -2*h + q*h + 8 = 0 for h. -2 Suppose 178*w - 156*w = 704. Solve -12*j = -w*j - 9*j for j. 0 Let w(j) = 7*j**3 - 2*j**2 + j. Suppose -3*u + 40 - 37 = 0. Let o be w(u). Solve o*m - 4*m = -8 for m. -4 Let q(u) = u**2 + 17*u - 14. Let a be q(-18). Let v(y) = -y**3 - 33*y**2 - 60*y + 64. Let p be v(-31). Solve -p*z = 2*z - a for z. 1 Suppose 89 + 99 = -4*s. Let g = 49 + s. Solve g*z + 10 = 4*z for z. 5 Let i be 140/77 - (-4)/22. Suppose i*c = -0*c + 2. Suppose -q - c = 0, a = -6*q + 3*q - 3. Solve a*k = k for k. 0 Let p(h) = -6*h - 2. Let q = -15 + 13. Let x be p(q). Suppose 5*z - x*z = -45. Solve 4*n - 7 = z for n. 4 Let h = -138 - -140. Suppose -2*f + 3 = -d + 4, 0 = h*f - 4*d + 10. Solve -4*l - f = -5 for l. 1 Let h(q) = -q**3 - 9*q**2 - q - 12. Let x be h(-9). Let i be -3 - (22/(-33) - (-277)/x). Let w = 90 - i. Solve -3*o - o + 20 = w for o. 5 Let l = 13 + 59. Let o(t) = -5*t - 23. Let f be o(-9). Suppose 0 = 10*b - l + f. Solve b*k - 3*k - 10 = 0 for k. 5 Let c be 1 + -4 + 2 + (1 - 162). Let h = 165 + c. Solve j - h + 8 = 0 for j. -5 Suppose 201*x - 20002 + 6133 = 0. Solve -x*c + 116*c = -423 for c. -9 Suppose 0 = 5*q - 6 - 4. Let h be (141/27 - -3) + 6/(-27). Suppose -2*m = -3*s - 6*m - h, 5*s + 3*m = -6. Solve w + q = -s for w. -2 Let d(p) = 35*p**2 - 103*p + 2. Let k be d(-3). Solve -t = -k + 625 for t. 1 Let y be (-4)/(-14)*(-16653)/(-366). Solve -y*i + 13 + 65 = 0 for i. 6 Let p(v) = 4*v**2 + 4*v + 5. Let t be p(-2). Suppose t + 17 = -5*g. Let k = 8 + g. Solve 6 + 0 = -k*a for a. -3 Suppose 0 = -4*u - 3*z + 840, -26*u - 844 = -30*u - 4*z. Let p = u + -203. Solve -5 = -p*a + 7 for a. 3 Suppose -3*a = -m + 18, 7*a - 9*a - 90 = -5*m. Let q be 8/(-24)*(-5)/5*m. Solve -3*v - q = -5*v for v. 3 Suppose -2*w = 5*i - 296, 5*w - 29*i = -34*i + 755. Solve w*o - 18 = 144*o for o. 2 Suppose 0 = -4*q + 11*q - 14. Suppose -3*s + 0*s + 4 = q*w, -2*w = -2*s + 6. Suppose -23 = -s*r - 3. Solve -f - r = f for f. -5 Let b be ((-10)/(-15))/(1 + 292/(-288)). Suppose -4*a - 18 = 62. Let q be a/(-6)*b/(-40). Solve x - q*x = 6 for x. -2 Suppose 65*b - 61*b = 16. Suppose -a = 4*l - 4, -b*a + 5 = 4*l + 13. Solve 2 = -l*m + m for m. -2 Let n(t) = -t**3 + 161*t**2 - 1226*t + 348. Let b be n(153). Solve -110 - 58 = b*l for l. -4 Let a(t) = 14*t - 66. Let j be a(5). Solve j*u = -2*u + 24 for u. 4 Let s = 0 + 1. Let y be -2*33/(-44)*35/(-14)*48/(-30). Solve -y*d = -5*d + s for d. -1 Let m be 1/5*-1*(-1 - 4). Suppose 18*z = m + 71. Suppose -4*n = -5 + 1. Solve -z = v - n for v. -3 Let o be 4899/46 + (-10)/((-120)/18). Solve -7*s + o = 129 for s. -3 Suppose -120 = -5*w + 5*f - 10*f, -3*f - 24 = -w. Solve w*c - 48 = 16*c for c. 6 Suppose 5*i - 18 = -4*i. Let r be (-144)/15 - i/10*2. Let k = -3 - r. Solve -2*y - 15 = -k*y for y. 3 Let c(k) = -7*k**2 - 6*k + 1. Let s be c(3). Suppose -r - 3*w = 80 + 5, -2*r - 172 = 4*w. Let n = s - r. Solve 0 = j + n - 3 for j. -5 Let w(a) = 21*a - 21. Let h be w(13). Let y = h - 241. Solve -q + 6 - y = 0 for q. -5 Suppose 62*z - 2096 = -200*z. Solve -280 + 328 = -z*l for l. -6 Suppose 6 = -0*l + 2*l. Let m(y) = -2*y**2 - 23*y + 44. Let z be m(-13). Suppose 10*c - 15*c = z*w - 40, 2*w = -c + 12. Solve c*p + l = -1 for p. -1 Let l(z) = -z**2 - 25*z - 37. Let u be l(-23). Suppose n - 37 = -u. Suppose -2*v = n - 34. Solve v*b = -0*b for b. 0 Suppose 43*z - 405 = 21*z + 7*z. Solve z*x - 30 - 78 = 0 for x. 4 Suppose 5*w - 54 = 2*b, -2*w + 36 + 24 = 4*b. Solve 0 = w*m - 5*m for m. 0 Let b(x) = -34*x + 125. Let s be b(4). Let h be 7 + -22 + 8 - s. Solve -m = 1 - h for m. 3 Suppose 2*f - 16 = -62*s + 59*s, 2*s = 4*f - 16. Solve 308*z - 309*z = f for z. -5 Let s be (16/1)/((-4)/(4 - 8)). Solve s = -93*i + 77*i for i. -1 Suppose 3*y - 12 = -3*w + 3, 0 = 3*y - w - 3. Suppose 2*o = 4 - 0. Suppose -2*r - 2*c = y - 20, o*r = -3*c + 17. Solve 2*d - r = -0 for d. 5 Let g be (-1)/1*(-4 - -4). Suppose -3*t - 2*h + 22 = g, 4*t + 2*h = -2*h + 36. Let x be 10/(-20) - (-2)/4. Solve -8 = -t*l - x for l. 2 Suppose -12 = -3*m + 6. Let d(k) = -262*k + 11794. Let x be d(45). Solve n - m = -x for n. 2 Let y(s) = -2*s**2 + 13*s - 4. Suppose 4*p + 48 = 12*p. Let a be y(p). Solve -a*k = -3*k + 4 for k. 4 Let a = 55 + 3. Let b = -56 + a. Suppose -b*g = -0*g - 4. Solve 20 = -g*h - 2*h for h. -5 Suppose -45 = -9*j + x, 4*j + 0 = 5*x + 20. Solve -15*d = -j*d - 10 for d. 1 Let y(m) = 670*m + 7376. Let h be y(-11). Solve -h*u + 30 - 12 = 0 for u. 3 Let v be (-2)/(-10) + (-2 - (-1924)/5). Suppose -2*q + 397 = v. Solve -4*r + 3 = -q*r for r. -1 Let s = -84056 + 84056. Let b = 2 + 0. Solve s = 4*v - b + 22 for v. -5 Suppose -3*g + 20 = -0*g + 5*l, -2*g = -l - 9. Suppose 3*o - 42 = -2*n, -5*o - 105 = -5*n - 2*o. Let m be 0 + (0 - (-2 - -1)). Solve -g*d - m = -n for d. 4 Let t = -1004 - -618. Let z = -363 - t. Solve -3 + z = 5*l for l. 4 Suppose 2 + 4 = 3*p. Let f be 0/(-9 + 5 - 0). Suppose f*i - 36 = -18*i. Solve p*d = -i*d + 8 for d. 2 Let f(o) = o**3 - 21*o**2 + 20*o + 3. Let p be f(20). Let w = 18 + -13. Suppose -2*v + 30 = s + 4*s, 3*v = -w*s + 35. Solve s*n = p*n for n. 0 Let d be 75 + -5 + 10 - -17. Solve -d*n = -891 + 115 for n. 8 Let m = -3603 + 3640. Solve -5 = -7*x + m for x. 6 Let z = 40989 + -40910. Solve 121*n = z*n + 336 for n. 8 Suppose -l - 2*a = -81, -5*l = 2*a - 7*a - 405. Solve l = -5*z + 51 for z. -6 Suppose 9*t + 24 = 177. Suppose t = f + 4*n, 0 = f + 2*n + 3*n - 20. Solve -f*l + l - 4 = 0 for l. -1 Let l = 24130 - 23608. Solve 527*w - l*w - 25 = 0 for w. 5 Suppose 0 = -0*z - 7*z + 92 + 3205. Solve 0 = -5*p + 491 - z for p. 4 Suppose 0 = 17*a - 73*a + 9296. Solve a*s - 30 = 181*s for s. -2 Let a(m) = -6*m + 72 + 7 + 25. Let u be a(17). Solve w - u*w = 2 for w. -2 Let v(c) = 410*c - 11442. Let j be v(28). Solve 27*h - 55 = j*h for h. -5 Let h = 646 + -619. Solve 0 = 8*w - 17*w - h for w. -3 Suppose -5*l = 4*m - 192, m - 3*l = -0*l + 65. Let r = -51 + m. Let c(f) = f**3 + 3*f**2 - f - 1. Let q be c(-3). Solve 10 = r*d + q for d. 4 Let c = 800 + -798. Let g be (-24)/(-12) + -2 + -2 + c. Solve 25 = 5*y - g for y. 5 Suppose 2*g = -a + 7*g + 25, 3*g - 1 = -a. Solve a*r = 30 + 30 for r. 6 Suppose 0 = 78*n - 115*n + 1258. Let u be (-5)/((-15)/39) - -3. Solve m = -u*m - n for m. -2 Let y be (-1*26/8)/(25/(-127 + 27)). Solve y*j - 86 = -8 for j. 6 Let y(j) = 1 - 3 - 4 + 4*j + 4*j. Let z be y(2). Let a(p) = -p + 12. Let l be a(z). Solve -2 = -l*g - 0*g for g. 1 Let c be (5 - 1)/(1/3). Let x = 56376 + -56372. Solve -x*y + c = -y for y. 4 Let q(i) = -2*i**2 - 5*i + 106. Let y be q(-15). Let n = -263 - y. Solve n = -v + 10 for v. 4 Suppose -2*v - v - t + 48 = 0, 0 = 5*t - 45. Solve 0 = 2*y - 15*y + v for y. 1 Let w be ((-154)/385)/((-303)/150 + 2). Solve -71*k = -81*k + w for k. 2 Let l(t) = -t**3 + 4*t**2 + t - 2. Let h be (-1)/(-3)*(-126)/(-21). Let d be l(h). Suppose 53 = d*c - 19. Solve -5*u + 4 = c for u. -1 Let v = -553 + 527. Let n(w) = -5*w - 122. Let x be n(v). Solve 9*b = x*b for b. 0 Let l = -49 - -53. Let x be ((-15)/10)/((-2)/4). Solve x*w - l = -7 for w. -1 Let i(w) = -w**3 - 4*w**2 - 5*w + 5. Let z(a) = 2*a**2 + 2*a - 2. Let s(h) = -3*i(h) - 7*z(h). Let b be s(1). Solve -2*o + b = -7 for o. 4 Let y = -8 - -8. Let l be (1/2)/((-6)/(-60)). Suppose y = -i, -l*q + 25 = -0*i - 3*i. Solve 0 = -4*k + 5*k - q for k. 5 Let t be -164 - (-1 + 3 + 3 - 1). Let r = -130 - t. Solve -47 = 3*b - r for b. -3 Let q = -210 - -237. Suppose 9*b + 0 = q. Solve b*m = -2*m for m. 0 Suppose 5*i = 5*o + 1 - 11, 0 = 5*o. Let f be (2*-15)/(-5) + i. Solve -6*u = -f*u for u. 0 Suppose 263 = 4*j - 0*j + 5*u, 5*j - 385 = 5*u. Solve -j = 8*x - 24 for x. -6 Let y be 190/7 + 17/(-119). Suppose 37*s - 20 = y*s. Solve -5 = i - s for i. -3 Suppose 76*f - 942 - 99 - 5571 = 0. Solve -17*y + f - 2 = 0 for y. 5 Suppose 238*i - 3468 - 22712 = 0. Solve 19*g - i = 74*g for g. -2 Let j = -195 + 221. Suppose -j*k + 22*k = -48. Solve -2*u = -k + 14 for u. -1 Suppose -5*o = -3*k + 8*k - 115, -4*o + 3*k = -99. Let b = -19 + o. Suppose 4 = n - 0*j - j, n - 2*j = b. Solve 0 = -n*g
{ "pile_set_name": "DM Mathematics" }
+ 208 = 7*x. What is the remainder when x is divided by h? 16 Suppose 4*i + 21*v - 18*v - 4859 = 0, -3*v = i - 1208. What is the remainder when i is divided by 23? 21 Let f be 1/2*-5*(16 - 10). What is the remainder when 95 is divided by (72/f)/(3 + 31/(-10))? 47 Suppose 21*c + 561 = 5769. What is the remainder when c is divided by 85? 78 Suppose -477 + 67 = -5*n. Suppose -5*v = 5*b - n - 53, -b + 17 = -v. Calculate the remainder when 196 is divided by b. 20 Calculate the remainder when 1/(((-20)/(-40))/((-543)/(-6))) is divided by 23. 20 Let j(p) = -2 + 2 + 1 + 25*p. Let k = -16189 + 16290. What is the remainder when k is divided by j(1)? 23 Let x = -2 - -7. Let l(s) = 48*s**2 + 3*s. What is the remainder when l(1) is divided by 335/25 + (-2)/x? 12 Let x = 657 - 244. What is the remainder when x is divided by 32? 29 Let o = -89 - -98. Calculate the remainder when 133 is divided by o. 7 Let c = -112 - -129. Calculate the remainder when c is divided by 4. 1 Calculate the remainder when 441 is divided by ((-185)/(-15))/(1/3 + 0). 34 Let c(f) = 152*f + 481. Calculate the remainder when 248 is divided by c(-3). 23 Suppose -44 = 9*l + 10. Let o(r) = r**2 + 6*r + 5. Calculate the remainder when 9 is divided by o(l). 4 Let t = -1296 + 1308. Calculate the remainder when 21 is divided by t. 9 Let x = -497 - -934. Calculate the remainder when x is divided by 88. 85 Let i = 356 - 280. Calculate the remainder when i is divided by 27. 22 Suppose 0 = 4*d + d - 440. Let n(h) = -3*h**2 + 52*h - 82. Calculate the remainder when d is divided by n(15). 19 Let r(i) = -3*i - 9. Let k be r(-7). Suppose 3*j - 57 = -k. Let n(p) = 54*p**2 + 3. Calculate the remainder when n(1) is divided by j. 12 Let w = -50 + 65. Suppose -w = -m - 1. What is the remainder when m is divided by 4? 2 Let v(s) = 9*s**2 - s. Let h be v(-1). Let j(b) = b**2 - 8*b - 6. Let u be j(h). Suppose o - u = 13. Calculate the remainder when o is divided by 7. 6 Let n(y) = 5 + 7*y**2 + 2 - y**3 - 7*y + 1. Let d(a) = a**2 + 18*a + 6. Let i be d(-18). Calculate the remainder when 6 is divided by n(i). 0 Suppose 79 - 15 = 4*d. Suppose -5*p = -5*g - 300, -69 = 4*p + 3*g - 323. Calculate the remainder when p is divided by d. 14 What is the remainder when ((-110)/8)/(2/(-16)) is divided by ((-12)/36)/(-1 + (-220)/(-222))? 36 Let k = 17 + 5. Let l be k/12 + 1/6. Suppose 0*f = l*f - 6, -4*f + 77 = 5*s. What is the remainder when s is divided by 7? 6 Suppose -18*k + 1754 + 298 = 0. Calculate the remainder when k is divided by 31. 21 Suppose -3*m - 2*w = 75, -5*w - 125 = 4*m - 25. Let v = 48 + m. Calculate the remainder when v is divided by 6. 5 Suppose 2*u + 570 = -0*u. Calculate the remainder when 44/(-12)*-6 - 1 is divided by u/(-25) + 2/(-5). 10 Let x be 9/3 + (-10)/(-15)*-12. Let v(s) = -s**2 - 8*s - 12. Calculate the remainder when 8 is divided by v(x). 2 Let c = 20 - 4. Suppose -k + 5*u = -21, -2*u = 5*k - c - 143. What is the remainder when 61 is divided by k? 30 Let k = -2329 + 2334. Calculate the remainder when 223 is divided by k. 3 Suppose 5*m + 19 = 44. Suppose -4*i - m*j = -0*j - 63, 2*i = -j + 39. Suppose 7*n - 6 = 6*n. What is the remainder when i is divided by n? 4 Let s = 1002 - 860. What is the remainder when 1133 is divided by s? 139 Let v be 0*((-9)/2 - -4). Suppose -3*l - l = v. Suppose l = -0*j + 4*j - 216. Calculate the remainder when j is divided by 15. 9 Suppose 0 = -14*n + 13*n + 9. Let v(o) be the first derivative of o**3/3 + o**2/2 - 5*o + 2. Calculate the remainder when v(n) is divided by 22. 19 Let j(g) = 28*g + 19. Let p be j(5). What is the remainder when 2 + p/7 - (-2)/7 is divided by 7? 4 Let f be (((-15)/(-6))/5)/(2/(-36)). Let n(b) = 6 - 13*b - b**2 - 3 + 2. Calculate the remainder when n(f) is divided by 22. 19 Let a = 71 + -9. Let o(b) = b**3 - 2*b**2 + 2*b + 1. Let p be o(0). Let d = a + p. What is the remainder when d is divided by 16? 15 Let z be (1/(-3))/((-5)/30). Suppose z - 20 = -2*w. Suppose 2*i - w - 27 = 0. Calculate the remainder when 53 is divided by i. 17 Let o(h) = -5*h + 7. Let v = -30 - -27. What is the remainder when 61 is divided by o(v)? 17 What is the remainder when 30 is divided by (7 + -8)*-4 + 16? 10 Let n(m) = 11*m + 261. What is the remainder when n(-14) is divided by 52? 3 Calculate the remainder when 191 is divided by (-128)/(-6)*(-1155)/(-308). 31 Let l = -3 + 11. Let q = 948 - 345. Suppose 17*p - q = -76. Calculate the remainder when p is divided by l. 7 Suppose -78 - 75 = -z + o, 2*z - 312 = -4*o. Calculate the remainder when z is divided by 49. 7 What is the remainder when 6 - (-6 + 5/((-20)/204)) is divided by 12? 3 Let v(o) = -2*o + 10*o + 0*o + 1. Let s = 46 - 28. Calculate the remainder when v(4) is divided by s. 15 What is the remainder when 246 is divided by (2*-1)/(40/(-620))? 29 Suppose 0 = 3*x - 24 - 72. What is the remainder when x is divided by (-3)/(15/2) - 2784/(-160)? 15 Suppose 0 = 10*z - 0 - 30. Let j(a) = 7*a**2 + 2*a + 12. Calculate the remainder when j(z) is divided by 12. 9 Calculate the remainder when 523 is divided by 77*(-19)/((-1330)/20). 17 Let j = -49 + 48. Calculate the remainder when (-430)/20*(-1 + j) is divided by 16. 11 What is the remainder when (42 - -54) + -3 + 0 is divided by 24? 21 Let a = -207 + 297. What is the remainder when a is divided by 39? 12 Let t = 0 - -3. Suppose -t*i - 126 = -6*i. Calculate the remainder when i is divided by 30*(3 - (-10)/(-4)). 12 Let r(t) = t**3 - 4*t**2 + 3*t - 5. Let s be r(3). Calculate the remainder when (1/4)/(s/(-380)) is divided by (-2*5)/((-6)/3). 4 Suppose 0 = -3*u + 5*a + 221, a + 313 = 4*u - 2*a. What is the remainder when u is divided by ((-51)/(-15))/(3/15)? 14 Let p = -4 - -6. Calculate the remainder when 6 - (-5 - -3)/p is divided by (-2)/5 - 36/(-15). 1 Suppose -4*l = -5*l + 9. Let v be (-1100)/5 + (-2 - 1). Calculate the remainder when 38/(-247) - v/13 is divided by l. 8 Let r(q) = -q**3 + 10*q**2 + 16*q - 19. Let f be r(11). Let p = f + -26. Suppose 0 = -5*a - 8 + 143. What is the remainder when a is divided by p? 7 Let f(g) = -g**2 - g + 3. Let b be f(0). Suppose -4*z - b*d = -2*z, 30 = 3*z - 3*d. Calculate the remainder when 20 is divided by z. 2 Suppose 2*k = 3*k - 34. Let m be k*1 - (6 - 5). Suppose m*c = 28*c + 60. Calculate the remainder when 58 is divided by c. 10 Suppose -5*o + 8 = -7. Suppose -o*u = u - 8. Calculate the remainder when (-4)/(-14) - (-48)/28 is divided by u. 0 Let k(c) = c**2 + 5*c + 10. Let y be k(-3). Suppose 0 = 3*l - j - 4*j - 20, j = -l - y. Let b = l + 11. Calculate the remainder when b is divided by 4. 3 Let d be (-267)/(-6) + (5/(-10) - 0). Suppose -3*o + 11 = x - 6*o, -4*x = o - d. What is the remainder when 21 - 0/(-2 + 0) is divided by x? 10 Let w(r) = -5*r - 3. Let b = 12 - 7. Suppose -b - 35 = -4*u. What is the remainder when w(-6) is divided by u? 7 Suppose 2*x = 10*x - 240. What is the remainder when 12/x - (-146)/10 is divided by 6? 3 Let h = 394 - 265. Calculate the remainder when h is divided by 6. 3 Let q = 171 + -167. Calculate the remainder when 77 is divided by q. 1 Let m(j) = j**3 + 18*j**2 - 19*j + 4. Let r be m(-19). Suppose -r - 1 = -b - 2*d, -47 = -5*b + d. Calculate the remainder when b is divided by 2. 1 Suppose -7*g - 5790 = -22*g. What is the remainder when g is divided by 43? 42 Suppose -189 = -u + 5*y + 34, 873 = 4*u - y. Suppose p = -4*x + 305, -2*x + u = 2*p + 64. What is the remainder when x is divided by 13? 11 Let x(l) = l**2 - 3*l - 2. Let o be x(-1). Suppose 35 = o*b - 9. Calculate the remainder when 63 is divided by b. 19 Let y(i) = -9*i - 16. Calculate the remainder when 59 is divided by y(-4). 19 Suppose 3*p + 6*m - m - 198 = 0, -3*p + 225 = -4*m. Calculate the remainder when p is divided by 12. 11 Let d(n) = -n**2 + 28*n + 65. Calculate the remainder when 15 is divided by d(30). 0 Let d(l) = -l - 2. Let q be d(-11). Suppose q = 4*h - 3. Suppose -3*c = -8*c + 15. Calculate the remainder when c is divided by h. 0 Let v(a) = 36*a**3 + 9*a**2 + 10*a - 49. What is the remainder when v(3) is divided by 148? 146 Let p(c) = -3*c**3 + 3*c**2 + 9*c + 1. What is the remainder when p(-2) is divided by 13? 6 Let g(j) = -j**2 + 8*j - 11. What is the remainder when 94 is divided by g(5)? 2 Suppose -3*
{ "pile_set_name": "DM Mathematics" }
+ 1 Suppose -4*x + 16 = x + 2*s, 2*x = 3*s - 5. Let u(r) = 13*r - 8*r - 3 - 14*r. Let q(v) = -4*v - 1. Calculate x*u(c) - 5*q(c). 2*c - 1 Let g(t) = 9*t**3 + 4*t**2 + 5*t - 23. Let i(p) = -8*p**3 - 3*p**2 - 4*p + 23. Give -4*g(x) - 5*i(x). 4*x**3 - x**2 - 23 Let h(a) = -a + 1. Suppose 3*n - 1 = -2*w, -8*w + 3*w = 3*n - 16. Let r(z) = 4*z - 4. Determine n*r(v) - 10*h(v). -2*v + 2 Let j(o) = 17*o**2 - 85*o. Let g(v) = v. Let t(h) = 147*h + 440. Let w be t(-3). What is w*j(s) - 85*g(s)? -17*s**2 Let f(n) = 2*n**3 - 4*n**3 - 2 + 4*n**3 + 2*n**2. Let z(k) = -15*k + 117. Let x be z(8). Let a(g) = -g**3 - 3*g**2 - g + 3. Calculate x*f(d) - 2*a(d). -4*d**3 + 2*d Let d(k) = -k**2 - k + 1. Let w(n) = -6*n**3 - 2*n**2 - 3*n + 4. Determine -3*d(a) + w(a). -6*a**3 + a**2 + 1 Let v(c) = -11*c + 83. Let y(o) = -40*o + 250. What is 7*v(r) - 2*y(r)? 3*r + 81 Let w(f) = 7*f - 2. Suppose -21 = -4*z - 1. Let u(r) = -6*r - 10*r - 1 + 12*r + 2. Give z*u(h) + 3*w(h). h - 1 Let v(z) = 21*z**3 + 3*z**2 + 3*z + 3. Let d(b) = -2*b**2 - 129*b + 479. Let s be d(-68). Let o(l) = l**2 + l + 1. Determine s*o(m) - v(m). -21*m**3 Let z be ((-2 - -6) + -3)*(13 + -9). Let h(m) = -3*m**3 + 3*m**2 + 3. Let u(d) = -2*d**3 + 3*d**2 + 2. Determine z*h(g) - 5*u(g). -2*g**3 - 3*g**2 + 2 Let c = -58 + 45. Let t(s) = 2*s + 3. Let j(v) = v + 2. Give c*j(l) + 6*t(l). -l - 8 Let i(p) = -11*p**2 + 24*p + 5. Let b(s) = -16*s**2 + 36*s + 8. Give 5*b(r) - 8*i(r). 8*r**2 - 12*r Let i(k) = k - 10. Let b(r) = 4*r - 29. Determine 2*b(v) - 7*i(v). v + 12 Let o(l) = -2*l - 1. Let x(i) = -5*i - 16. Let a(k) = -k - 3. Let j(f) = -11*a(f) + 2*x(f). What is 3*j(v) + 2*o(v)? -v + 1 Let y(u) = -11*u - 4. Let h = 14 + -2. Let k = -18 + h. Let i(f) = 5*f + 2. Let r = -11 + -2. What is k*y(j) + r*i(j)? j - 2 Let j(c) = -2*c**3 - 5*c**2 + 322*c. Let z(h) = -h**3 - 2*h**2 + 161*h. Determine -2*j(s) + 5*z(s). -s**3 + 161*s Let w(c) = 14*c + 13. Let g(u) = -180*u - 171. Calculate 2*g(r) + 27*w(r). 18*r + 9 Let h = -46 - -54. Let f be 4/2 + 8/h. Let c(s) = -s**3 - 3*s**2 - s + 3. Let y(p) = p**3 + p**2 - 1. What is f*y(l) + c(l)? 2*l**3 - l Let t(i) = i**3 + i - 1. Let k(p) = -p**3 - 67*p**2 + 68*p - 6. Let j be k(-68). Let b(u) = 4*u**3 + 4*u. Calculate j*t(d) + b(d). -2*d**3 - 2*d + 6 Let a(s) = s**3. Let t(r) = -14*r - 281. Let l be t(-20). Let o(g) = -6*g**3 + g**2. Give l*o(x) - 3*a(x). 3*x**3 - x**2 Suppose 3*c = -0 + 12. Let p(w) be the first derivative of -7*w**3/3 - w**2 - 4*w + 594. Let o(y) = 6*y**2 + y + 3. What is c*o(v) + 3*p(v)? 3*v**2 - 2*v Let k(h) = -27 + 7*h + 27 - 9*h. Let d(s) = -2*s + 1. Suppose -4*b + 20 = 24. Let v(w) = w**3 - 5*w**2 - 6*w + 2. Let y be v(6). Give b*k(g) + y*d(g). -2*g + 2 Let y(x) = -60*x - 1. Let c(w) = w. What is 6*c(i) + 2*y(i)? -114*i - 2 Let h(k) = -140*k**2 - 18*k - 6. Let u(n) = 140*n**2 + 15*n + 5. Determine -5*h(z) - 6*u(z). -140*z**2 Let q(a) = a**3 + a - 1. Let b(j) = -3*j**3 - 6*j + 11. Determine b(w) + 4*q(w). w**3 - 2*w + 7 Let c(n) = 1214*n**2 + 3*n - 3. Let k(s) = -492885*s**2 - 1217*s + 1217. Calculate -1217*c(v) - 3*k(v). 1217*v**2 Let o(v) = -6*v**3 - 8*v**2 - 9. Let p(m) = 25*m**3 + 34*m**2 + 36. Calculate -9*o(k) - 2*p(k). 4*k**3 + 4*k**2 + 9 Let g(t) = 6*t + 4. Let w(u) = -37*u - 9 + 100*u - 37*u - 38*u. Give -9*g(c) - 4*w(c). -6*c Let b(v) = 2*v**3 - 6*v**2 - v - 1. Let c(i) = 4*i**3 - 11*i**2 - 2*i - 2. Determine 7*b(h) - 4*c(h). -2*h**3 + 2*h**2 + h + 1 Let g(d) = 5*d**3 - 3*d. Suppose -3*j = 8*j - 33. Let x(l) = 71*l - 135*l + 68*l - 5*l**j. Calculate 4*g(v) + 3*x(v). 5*v**3 Let q(s) = s**2 + 2*s + 7. Let x(i) be the second derivative of -i**4/12 - i**3/6 - 2*i**2 - 122*i - 1. Let f be (-6 + 1)*(-1 - -2). Determine f*x(z) - 3*q(z). 2*z**2 - z - 1 Let p(m) be the third derivative of 2*m**5/15 + m**4/2 + 2*m**3 - 6*m**2 - 13. Let l(u) = u + 1. Give -12*l(y) + p(y). 8*y**2 Let t = -7 - -5. Let o(j) = 4*j - 2. Let v(q) be the first derivative of -q**3/3 - q**2/2 - 2. Give t*v(h) - o(h). 2*h**2 - 2*h + 2 Let q(u) = -46*u**2 - 17*u - 2. Let m(c) = 11*c**2 + 4*c + 1. Let p(l) = 9*m(l) + 2*q(l). Let s(g) = -6*g**2 - g - 4. What is -5*p(h) - 6*s(h)? h**2 - 4*h - 1 Let w(g) = -2. Let j(o) = 24*o**2 - 14*o**2 - 6 - 15*o**2 + 7 + 8*o. Let v(b) = -4*b**2 + 6*b. Let a(f) = -3*j(f) + 4*v(f). What is 2*a(u) - 3*w(u)? -2*u**2 Let j(t) = 18*t - 4. Let r(a) = 14*a - 4. Calculate 3*j(c) - 4*r(c). -2*c + 4 Let d(w) = 2*w**2 + 16*w - 1. Let y(p) = 2*p**2 + 15*p - 1. Give -4*d(z) + 5*y(z). 2*z**2 + 11*z - 1 Let w(n) = 4*n**3 - 4*n**2 + n - 5. Let v(g) = -96*g - 289. Let p be v(-3). Let c(m) = -m**3 + m**2 + 1. What is p*w(x) - 5*c(x)? x**3 - x**2 - x Let z(r) = 96*r**3 + 5*r - 5. Let u(f) = -1729*f**3 - 91*f + 91. What is -5*u(i) - 91*z(i)? -91*i**3 Let a(t) = -15*t**3 - 13*t**2 + 11*t - 13. Let x(b) = 6 - 90*b + 7*b**3 + b**2 + 85*b + 5*b**2. Give 6*a(s) + 13*x(s). s**3 + s Let d(k) = -k + 10. Let y(n) = 2*n - 11. Let o = 1579 + -1577. Determine o*y(c) + 3*d(c). c + 8 Let d(j) = -17*j**2 - 113*j - 1. Let g(n) = 28*n**2 + 227*n + 1. What is 5*d(c) + 3*g(c)? -c**2 + 116*c - 2 Let x(o) = -5*o**2 + 2*o. Let i = -729 + 725. Let c(s) = 36*s**2 - 15*s. Calculate i*c(j) - 30*x(j). 6*j**2 Let o(t) = -8*t + 7. Let h(z) = 4*z - 3. Let g be -2 - (-2 + (-2 - -6) + -7). Give g*o(d) + 7*h(d). 4*d Let a = 2700 + -2605. Let t(d) = -988*d**3 - 95*d + 95. Let y(s) = -21*s**3 - 2*s + 2. Give a*y(n) - 2*t(n). -19*n**3 Let r(y) = -2*y - 14. Suppose 2*t - 4*t + 8 = 0. Let n(j) = 1 + 5 - t + 3 + j. Let i(p) = p**2 + 5*p + 2. Let h be i(-6). What is h*n(c) + 3*r(c)? 2*c - 2 Let h(x) = -101*x - 1. Let t(m) = -m - 1. Determine h(l) - 2*t(l). -99*l + 1 Let f(j) = -4*j - 2. Let b(u) = -2. What is -2*b(z) - 2*f(z)? 8*z + 8 Let t(f) = -f**3 + f**2. Let u(p) = -p**3 + 6*p**2. What is -4*t(z) + u(z)? 3*z**3 + 2*z**2 Let t(l) = 135138*l - 7070. Let b(c) = -401*c + 21. Determine 1010*b(d) + 3*t(d). 404*d Let t(i) = -i + 14*i**2 - 4*i**3 - 11*i**2 + 4*i. Let n(y) be the second derivative of 11*y**5/20 - 2*y**4/3 - 4*y**3/3 - y - 41. Determine -3*n(r) - 8*t(r). -r**3 Let c(b) = -17*b**2 - 8*b - 8. Suppose 5*j - 2 = 8. Let t be (15/(-3) - -1)*j. Let g(v) = 5*v + 0 - 1 + 0 + 6 + 11*v**2. Give t*g(f) - 5*c(f). -3*f**2 Let a(o) = 5*o**2 + 7*o + 4. Let v = -18 + 20. Suppose -2*l = -l - 2. Let f(g) = 6 - 4 + 20*g + v + 7 + 14*g**l. Give -17*a(i) + 6*f(i). -i**2 + i - 2 Let y(x) = 11*x**3 - 12*x**2 + 8*x + 5. Let v(j) = -10*j**3 + 10*j**2 - 7*j - 4. Give -6*v(b) - 5*y(b). 5*b**3 + 2*b - 1 Let d(f) = -f**2 + 73*f. Let w(y) = y**2 - 71*y. Give -6*d(i) - 7*w(i). -i**2 + 59*i Let i(u) = -1. Let w(a) = -2. Let p(x) = 3*i(x) - w(x). Let t = -403 - -397. Let s(b) = b - 11. Determine t*p(h) + s(h). h - 5 Let m(p) = 9*p + 0 - 5 + 0*p + 4*p + 0*p. Let w(h) = 6*h - 3. What is 3*m(x) - 5*w(x)? 9*x Let w be (-1)/(-2)*2/1. Suppose 0 = 3*q + o - 15, 5*q - 21 = -3*o + 8. Let h(f) = -3*f - 4. Let k(p) = -213*p + 1 + 79*p + 135*p. Calculate q*k(n) + w*h(n). n Let f = -453 + 470. Let n(z) = 12*z**2 - 20*z + 17. Let s(d) = -4*d**2 + 7*d - 6. Give f*s(j) + 6*n(j). 4*j**2 - j Let p(s) = -s**2 + 1. Let x(z) = -171*z**2 - 3. Give 3*p(c) + x(c). -174*c**2 Let j(q) = -10*q + 7. Suppose -1291*t + 200 = -1251*t. Suppose 4*a - 6 = 14. Let n(r) = 2*r - a + 4*r + r. Calculate t*j(s) + 7*n(s). -s Let y(k) = 190*k**2 - 19. Let l(m) = 21*m**2 - 2. Calculate -38*l(r) + 4*y(r). -38*r**2 Let n(z) = 34*z - 172. Let v be n(5). Let q(k) = k + 1 - 3 + 1. Let d(f) = f**2 - 4*f + 4. Let a be 2/6*3 + -2. Calculate a*d(u) + v*q(u). -u**2 + 2*u - 2 Let s(v) = -5*v - 32. Let x(j) = 4*j + 32. Calculate 3*s(q) + 4*x(q). q + 32 Let b(n) = -3*n + 58. Let w be b(21). Let l(k) = k**2 - 11*k + 5. Let q(c) = -5*c + 2. Give w*q(h) + 2*l(h). 2*h**2 + 3*h Let g(r) = -16*r + 15. Let l(s) = 11*s - 11. Give -5*g(x) - 7*l(x). 3*x + 2 Let w(f) be the first derivative of -4*f**2 - 4*f + 2. Let d(t) = -75*t + 889. Let h be d(12). Let g(n) = -15*n - 7. Determine h*w(p) + 6*g(p). -2*p + 2 Let h(p) = 12*p**2 - 138 - 5*p + 153 + 5*p + 3*p**2. Let r(n) = 1. Determine h(d) - 15*r(d). 15*d**2 Let u(g) be the second derivative of g**3/6 + g**2/2 - g. Let d(x) = 4*x + 3. Let z(c) = c**3 + 9*c**2 + 18*c + 29. Let r be z(-7). Determine r*d(n) - 3*u(n). n Let g(p) be the first deri
{ "pile_set_name": "DM Mathematics" }
s of 453940594. 2, 43, 122753 List the prime factors of 45667778. 2, 13, 73, 24061 What are the prime factors of 52352874? 2, 3, 7, 59357 What are the prime factors of 27835338? 2, 3, 73, 103, 617 List the prime factors of 25623445. 5, 1109, 4621 What are the prime factors of 119046922? 2, 59523461 What are the prime factors of 480870294? 2, 3, 83, 965603 What are the prime factors of 1240912596? 2, 3, 7, 11, 1009 List the prime factors of 10558905. 3, 5, 7, 227, 443 List the prime factors of 56572584. 2, 3, 47, 50153 What are the prime factors of 82684790? 2, 5, 2719, 3041 List the prime factors of 102930427. 17, 883, 6857 List the prime factors of 133841834. 2, 7, 1365733 List the prime factors of 21253830. 2, 3, 5, 13, 54497 What are the prime factors of 212654093? 3137, 67789 List the prime factors of 9478300. 2, 5, 13, 23, 317 List the prime factors of 418296174. 2, 3, 29, 37, 43, 1511 What are the prime factors of 43877377? 29, 1513013 What are the prime factors of 267375140? 2, 5, 1723, 7759 What are the prime factors of 23419537? 23419537 What are the prime factors of 120521376? 2, 3, 107, 3911 List the prime factors of 52176507. 3, 113, 153913 What are the prime factors of 484366743? 3, 7, 41, 62507 What are the prime factors of 164251852? 2, 139, 295417 What are the prime factors of 6151234662? 2, 3, 113911753 What are the prime factors of 210519778? 2, 7, 1009, 2129 List the prime factors of 59177093. 59177093 What are the prime factors of 28790107? 37, 778111 List the prime factors of 104046921. 3, 11, 139, 7561 List the prime factors of 7468179967. 7793, 958319 What are the prime factors of 151376810? 2, 5, 13, 29, 40153 What are the prime factors of 40475930? 2, 5, 11, 47, 7829 What are the prime factors of 20102114? 2, 19, 529003 List the prime factors of 1157705430. 2, 3, 5, 7, 101, 54583 What are the prime factors of 470045456? 2, 29, 1013029 What are the prime factors of 1024542? 2, 3, 18973 List the prime factors of 460703711. 13, 2549, 13903 List the prime factors of 585579587. 585579587 List the prime factors of 932686833. 3, 13, 67, 27457 What are the prime factors of 108310712? 2, 13538839 List the prime factors of 579739892. 2, 144934973 List the prime factors of 28779722. 2, 1871, 7691 What are the prime factors of 230288278? 2, 11, 2671, 3919 List the prime factors of 294242632. 2, 4931, 7459 What are the prime factors of 311371890? 2, 3, 5, 101, 102763 List the prime factors of 6889591176. 2, 3, 13, 367, 60169 List the prime factors of 4450616991. 3, 494512999 List the prime factors of 73409144. 2, 839, 10937 List the prime factors of 84450100. 2, 5, 7, 223, 541 List the prime factors of 42660791. 23, 227, 8171 List the prime factors of 479453427. 3, 859, 62017 List the prime factors of 5404591188. 2, 3, 5560279 What are the prime factors of 123391889? 123391889 What are the prime factors of 2888973231? 3, 15031, 64067 List the prime factors of 327787204. 2, 81946801 List the prime factors of 34362004. 2, 8590501 List the prime factors of 166115862. 2, 3, 11, 838969 List the prime factors of 56280547. 56280547 List the prime factors of 690876903. 3, 230292301 List the prime factors of 1081735536. 2, 3, 7, 223, 14437 What are the prime factors of 850683795? 3, 5, 13, 4362481 What are the prime factors of 4290726928? 2, 268170433 List the prime factors of 126411807. 3, 19, 59, 37589 List the prime factors of 3555122045. 5, 711024409 What are the prime factors of 5118440629? 43, 59, 46919 List the prime factors of 143930044. 2, 23, 1564457 What are the prime factors of 7979196? 2, 3, 664933 List the prime factors of 1936322622. 2, 3, 13, 8274883 What are the prime factors of 1059185217? 3, 353061739 What are the prime factors of 6667569535? 5, 11, 121228537 List the prime factors of 5392402099. 7, 491, 1568927 List the prime factors of 2114076093. 3, 31, 22732001 What are the prime factors of 114482324? 2, 11, 271, 9601 What are the prime factors of 29542873? 401, 73673 What are the prime factors of 78304610? 2, 5, 2153, 3637 What are the prime factors of 934820813? 337, 2773949 List the prime factors of 331110668. 2, 7, 23, 514147 What are the prime factors of 264055509? 3, 17, 67, 25759 List the prime factors of 1320196540. 2, 5, 13, 17, 298687 List the prime factors of 1988796227. 11, 31, 188137 List the prime factors of 951073232. 2, 59442077 List the prime factors of 1786536039. 3, 29, 67, 306491 List the prime factors of 1727316521. 7, 4943, 49921 What are the prime factors of 3402229858? 2, 293, 5805853 List the prime factors of 269692431. 3, 29, 43, 72091 List the prime factors of 173715738. 2, 3, 7, 167, 24767 What are the prime factors of 599269460? 2, 5, 29963473 List the prime factors of 3557446622. 2, 17, 37, 71, 39829 What are the prime factors of 4412258475? 3, 5, 23, 1277, 2003 What are the prime factors of 84522315? 3, 5, 103, 227, 241 What are the prime factors of 674291494? 2, 19, 41, 432793 What are the prime factors of 3288630? 2, 3, 5, 109621 What are the prime factors of 3414627825? 3, 5, 7, 6504053 List the prime factors of 184527541. 11, 1525021 What are the prime factors of 201394822? 2, 127, 792893 What are the prime factors of 511677026? 2, 7, 149, 245291 What are the prime factors of 2445849065? 5, 11, 44469983 What are the prime factors of 41626534? 2, 643, 32369 List the prime factors of 3322489999. 37, 8753, 10259 List the prime factors of 1016771003. 17, 59810059 What are the prime factors of 153973498? 2, 7, 73, 150659 What are the prime factors of 28074697? 7, 23, 29, 859 What are the prime factors of 7513219274? 2, 11, 283, 1206749 What are the prime factors of 171599398? 2, 6373, 13463 What are the prime factors of 26565373? 17, 337, 4637 What are the prime factors of 50400450? 2, 3, 5, 47, 2383 List the prime factors of 28783309. 19, 1514911 List the prime factors of 123354004. 2, 19, 37, 43867 List the prime factors of 24301854. 2, 3, 317, 4259 What are the prime factors of 5785424? 2, 19, 19031 List the prime factors of 1294066654. 2, 137, 4722871 List the prime factors of 213060424. 2, 53, 502501 List the prime factors of 96617741. 11, 8783431 What are the prime factors of 16693548? 2, 3, 1391129 What are the prime factors of 478424952? 2, 3, 61, 97, 1123 List the prime factors of 414312374. 2, 7, 4943, 5987 List the prime factors of 121127200. 2, 5, 23, 29, 227 List the prime factors of 135216903. 3, 3491, 12911 What are the prime factors of 228254405? 5, 2677, 17053 What are the prime factors of 504293917? 504293917 List the prime factors of 131336277. 3, 131, 334189 List the prime factors of 211593585. 3, 5, 7, 2015177 What are the prime factors of 3353752282? 2, 17, 19, 83, 62549 What are the prime factors of 3993206553? 3, 7, 59, 358103 List the prime factors of 36972369. 3, 7, 197, 331 What are the prime factors of 2774777? 2774777 What are the prime factors of 4786500644? 2, 271, 4415591 List the prime factors of 4051613077. 17, 73, 467, 6991 What are the prime factors of 1318159080? 2, 3, 5, 7, 101, 5179 List the prime factors of 7123096161. 3, 3517, 225037 List the prime factors of 696349249. 31, 724609 List the prime factors of 664578320. 2, 5, 7, 491, 2417 What are the prime factors of 604171636? 2, 17, 23, 386299 List the prime factors of 1334250353. 89, 509, 29453 What are the prime factors of 668001281? 17, 659, 59627 List the prime factors of 105552754. 2, 89, 592993 What are the prime factors of 867552414? 2, 3, 47, 3076427 What are the prime factors of 505361799? 3, 37, 1517603 What are the prime factors of 74146731? 3, 24715577 What are the prime factors of 42172653? 3, 14057551 List the prime factors of 67594817. 67594817 List the prime factors of 948208020. 2, 3, 5, 15803467 List the prime factors of 73242117. 3, 13, 208667 What are the prime factors of 166201557? 3, 71, 751, 1039 List the prime factors of 800025635. 5, 3889, 41143 What are the prime factors of 393670190? 2, 5, 17, 2315707 What are the prime factors of 78741526? 2, 1327, 29669 List the prime factors of 3135211895. 5, 29, 21622151 What are the prime factors of 133337003? 19, 23, 305119 What are the prime factors of 107987694? 2, 3, 31, 659, 881 List the prime factors of 1329117896. 2, 5927
{ "pile_set_name": "DM Mathematics" }
107*b**2 - 7*b + 65. Give -5*c(n) - 3*u(n). -51*n**2 + n - 10 Let r(y) = -12*y**3 + 2*y. Let u(p) = -151*p**3 + 291*p - 29. Let k(c) = 30*c**3 - 60*c + 6. Let f(w) = -29*k(w) - 6*u(w). What is -3*f(m) - 10*r(m)? 12*m**3 - 2*m Let j(i) = -2*i**3 + 4*i**2 + i - 2. Let u(y) = -6*y**3 + 13*y**2 + 4*y - 6. Let d(b) = b**3 - 91*b**2 + 83*b + 632. Let n be d(90). What is n*u(o) - 7*j(o)? 2*o**3 - 2*o**2 + o + 2 Let i(w) = 234*w**3 + 1239*w**2 - 15*w - 15. Let f(a) = 33*a**3 + 177*a**2 - 2*a - 2. Calculate 15*f(d) - 2*i(d). 27*d**3 + 177*d**2 Suppose 46*g + 90 = 22*g - 6*g. Let p(r) = -5*r + 105. Let w(c) = 2*c - 52. What is g*p(m) - 7*w(m)? m + 49 Suppose 4*z = -z - 4*w - 26, 5*w = -4*z - 28. Let x(v) = 39*v - 900. Let f be x(23). Let n(j) = 4. Let p(d) = -d - 3. Determine f*p(g) + z*n(g). 3*g + 1 Let i(r) = 5*r**3 - r - 6. Let m(c) = 4*c**3 - c - 7. Let b be ((-9)/(-7))/(-6 - (-129)/21). Let h be -1 + -1 + 9 + b + -14. Determine h*i(t) - 3*m(t). -2*t**3 + t + 9 Let x(f) = -56*f**2 - 27*f - 6. Let j(s) = 124*s**2 + 54*s + 10. Determine -3*j(n) - 5*x(n). -92*n**2 - 27*n Let i(o) = -o + 2 - 3 + o**2 + 0. Let p(s) be the first derivative of s**4/4 + s**3/3 - s**2/2 - 2*s - 2. Let u be -4*((-1)/4*12/(-4))/3. Give u*p(q) + 2*i(q). -q**3 + q**2 - q Let w(s) = -s**2 - s + 1. Let h(r) = 10*r**2 + 23002*r - 19*r**2 - 23005*r. What is h(j) - 3*w(j)? -6*j**2 - 3 Let k(i) = -4*i**3 + 10*i**2 - 690*i + 7. Let n(c) = 7*c**3 - 14*c**2 + 1035*c - 10. Give 7*k(g) + 5*n(g). 7*g**3 + 345*g - 1 Let n(l) = -145*l + 19. Let a(x) = -131*x + 18. Determine 7*a(w) - 6*n(w). -47*w + 12 Let g be (-4)/12 + (26/39)/(-5 - -4). Let c(f) = f**2 + f + 1. Let b(l) = l**2 + 2*l + 4. Give g*b(z) + 3*c(z). 2*z**2 + z - 1 Let o(s) = 340*s**2 - s - 17. Let f(l) = -68*l**2 + 3. Calculate -11*f(u) - 2*o(u). 68*u**2 + 2*u + 1 Let t(j) = -2*j**2 - 381*j + 5. Let o(n) = -8*n**2 - 1136*n + 17. Calculate -3*o(c) + 10*t(c). 4*c**2 - 402*c - 1 Let r(j) = 1250*j - 9. Let c(a) = -17*a - 2. Give 6*c(m) - r(m). -1352*m - 3 Let m(k) = -4*k**2 - 7*k - 7. Let n(t) = 10*t**2 + 4*t + 4. Let s = 113 - 109. Let d(v) = 12*v**2 + 4*v + 4. Let p(i) = s*d(i) - 5*n(i). Give -3*m(f) + 5*p(f). 2*f**2 + f + 1 Let z(q) = -11*q**2 - 5*q + 11. Let g(v) = 4*v**2 + 3*v - 7. Give 5*g(b) + 3*z(b). -13*b**2 - 2 Let c(g) = -51*g**2 - 13*g + 5. Let l(m) = 152*m**2 + 37*m - 18. Determine -17*c(r) - 6*l(r). -45*r**2 - r + 23 Let y(k) = 21*k + 13. Let l be (2 + -5)/(456/144 + -3). Let b(f) = -9*f + 1. Let a(u) = -10*u + 2. Let t(g) = -4*a(g) + 5*b(g). Calculate l*t(c) - 4*y(c). 6*c + 2 Let u(r) = 1. Let m(y) = -y + 7. Suppose 4*p - 307 = -10*p - 335. Give p*u(b) - 2*m(b). 2*b - 16 Let h(i) = 4*i + 11. Suppose 3*q + 8*w + 8 = 10*w, -w - 17 = 2*q. Let c(y) be the first derivative of -1/2*y**2 - 3*y + 2. What is q*h(l) - 22*c(l)? -2*l Suppose 0 = -6*q + 76*q - 280. Let i(m) = 17*m**3 + m**2 - 4*m + 4. Let n(w) = -16*w**3 - w**2 + 3*w - 3. What is q*n(o) + 3*i(o)? -13*o**3 - o**2 Let b(a) = 2*a**2 - 6*a - 2. Let h(l) = -3*l**2 + 7*l + 3. Let n(u) = u**2 + 49*u + 321. Let r be n(-41). Give r*b(y) - 6*h(y). 4*y**2 - 4 Let j(k) be the first derivative of 1 - 1/3*k**3 - k - 1/2*k**2. Let r(g) be the first derivative of g**3/3 - g**2/2 + 9. What is j(d) - r(d)? -2*d**2 - 1 Let h(a) = a**3 - 23*a**2 + 105*a - 15. Let w be h(6). Let c(y) = 28*y**2. Let l(m) = -195*m**2. Give w*l(v) + 20*c(v). -25*v**2 Let l(n) = -3*n + 4. Let s(z) be the first derivative of -19*z**2/2 + 23*z - 513. Give 34*l(i) - 6*s(i). 12*i - 2 Let u(y) = 2*y - 3. Let h(k) = -2*k + 3. Let n(x) be the first derivative of x**3/3 - 4*x**2 - 13*x - 136. Let b be n(9). Determine b*h(o) - 3*u(o). 2*o - 3 Let d(k) = -2*k**3 - 12*k + 19. Let c(o) = -o**3 - o**2 - 5*o + 1. Give c(i) - d(i). i**3 - i**2 + 7*i - 18 Let u(f) = -f**2 + 4*f + 5. Let y(s) = -s - 1. Let z = 22 - 32. Suppose 57*q + 152 = -125 + 163. What is q*u(o) + z*y(o)? 2*o**2 + 2*o Let l(n) = -92*n**3 + 3*n**2 + 7*n - 3. Let r(s) = 91*s**3 - 2*s**2 - 6*s + 2. What is 2*l(m) + 3*r(m)? 89*m**3 - 4*m Let r(c) = -7*c**2 + 2*c. Let q(m) = -151*m**2 + 12*m. Determine q(y) - 6*r(y). -109*y**2 Let k = 4 - 5. Let m be (-1)/2*16/k. Let u(y) = 4*y + 8. Let d(o) = -6*o - 11. Let x(t) = -5*t - 9. Let r(j) = 2*d(j) - 3*x(j). Determine m*r(b) - 5*u(b). 4*b Let o(u) = -8*u**2 + 20*u + 10. Let y(z) = 3*z**2 - 8*z - 4. What is 4*o(b) + 10*y(b)? -2*b**2 Let w(f) = -20*f - 3. Let u be 294/(-56) - -7 - (27/(-12) + 2). Let s(k) be the first derivative of k + 7 + 7/2*k**u. Give 11*s(i) + 4*w(i). -3*i - 1 Let j(s) = 16*s**3 + 23*s**2 - 192*s + 4253. Let p(o) = 4*o**3 + 6*o**2 - 50*o + 1064. Give 6*j(q) - 23*p(q). 4*q**3 - 2*q + 1046 Suppose 11*n + 4 = x + 16*n, 2*n = -4*x + 16. Let y(g) = 37 - 102 - x*g + 31 + 34. Let s(a) = 5*a - 1. Calculate -2*s(z) - 3*y(z). 2*z + 2 Let n = 979 + -980. Let a(d) = -d**3 - 5*d**2 + 5. Let m(z) = -2*z**3 + 31*z**2 - 15*z - 4. Let v be m(15). Let w(j) = j**2 - 1. What is n*a(f) + v*w(f)? f**3 + f**2 - 1 Let z(w) = -w - 1. Let y be (-6)/(3 + -9) - -6*2. Let i(v) = 7*v + y - 8 - 2*v - 2*v. Give -3*i(d) - 15*z(d). 6*d Let v(q) = -q + 2. Let c(m) = -m + 1. Let o(d) = 202 + 33*d - 201 + 0*d. Let h be o(-1). Let g be 1/(-3) + h/48. Calculate g*v(p) + 3*c(p). -2*p + 1 Let v(r) = 6*r**2 - 3*r - 3. Let j(u) = 37*u**2 - 17*u - 17. Suppose 2*l - 52*t = -56*t + 8, 2*t = 4*l - 26. What is l*j(k) - 34*v(k)? 18*k**2 Let a(h) = 242*h + 11. Let g(c) = 2*c + 5. Calculate -a(j) + 2*g(j). -238*j - 1 Let c(o) = -12*o**3 + 1036*o**2 - 5*o + 2. Let m(t) = -14*t**3 + 1027*t**2 - 6*t + 3. Determine -6*c(n) + 5*m(n). 2*n**3 - 1081*n**2 + 3 Let j = 130 + -133. Let d(q) = -25 - 25 + 2*q - 19 - 2*q**2 + 60. Let p(m) = m**2 - m + 4. Calculate j*d(w) - 7*p(w). -w**2 + w - 1 Let s(c) = 43*c - 21*c + 7*c - 21*c - 23. Let i(f) = -2*f + 6. What is 9*i(b) + 2*s(b)? -2*b + 8 Let w(r) = 34*r**2 - 7*r + 90. Let g(k) = -k**3 - 9*k**2 - k. Calculate 4*g(m) + w(m). -4*m**3 - 2*m**2 - 11*m + 90 Let k(g) = -202*g**3 - 33*g**2 + 115*g - 39. Let o(f) = -67*f**3 - 10*f**2 + 38*f - 12. What is -4*k(l) + 13*o(l)? -63*l**3 + 2*l**2 + 34*l Let p(l) = -12*l**3 + 16*l**2 + 16. Let t(h) be the first derivative of -h + 1/4*h**4 + 62 - 1/3*h**3 + 0*h**2. Calculate -p(u) - 16*t(u). -4*u**3 Let q(a) be the third derivative of a**6/60 + a**5/15 + a**4/8 + a**3/2 + a**2 + 340. Let j(d) = d**3 + d + 1. Give -6*j(x) + 2*q(x). -2*x**3 + 8*x**2 Let j(r) = 17*r**3 - 5*r**2 + 5*r + 5. Let p(a) = 52*a**3 + 86392463 + 8*a**3 - 18*a**2 - 86392445 + 18*a. Let u = 13 - 18. What is u*p(h) + 18*j(h)? 6*h**3 Let b(n) = -6*n**2 - 3. Let v(y) = -10 - 71*y - 82*y - 19*y**2 - 79*y + 232*y. Calculate 14*b(x) - 4*v(x). -8*x**2 - 2 Let h(s) = s**2 - 15*s. Suppose 263*g - 242*g = 147. Let c(t) = 2*t**2 - 31*t. Calculate g*h(v) - 3*c(v). v**2 - 12*v Let f(m) = -m**3 + m**2 + m. Let c(p) = 2*p**3 + 6*p**2 + p + 1. Let v(b) = -5*b**3 - 22*b**2 - 5*b - 3. Let u(x) = -3*c(x) - v(x). What is 4*f(t) - u(t)? -3*t**3 + 2*t Let i(x) = -x**2 - 102*x - 2570. Let k be i(-52). Let n(v) = -5*v**3 + 30*v**2. Let d(m) = -5 - m**2 + 9 - 4. What is k*d(z) + n(z)? -5*z**3 Suppose 957*c + 679*c + 22 = -6522. Let z(w) = 5*w**3 + 4*w + 4. Let m be (0 - -1)*3 - 2. Let x(k) = k**3 + k + 1. Calculate c*x(o) + m*z(o). o**3 Let p(j) = -11*j**2 - 4*j - 6. Let q(f) = -f - 7. Let l be q(0). Suppose 24*c + 21*c - 136 = 11*c. Let h(v) = -6*v**2 - 2*v - 3. Determine c*p(i) + l*h(i). -2*i**2 - 2*i - 3 Let y(u) = 17*u - 222. Let z(b) = -50*b + 625. Let h(n) = 17*y(n) + 6*z(n). Let q(w) = 4*w + 8. Give 3*h(k) + 8*q(k). -k - 8 Let h(q) = 7*q + 7. Let y(n) be the second derivative of 2*n**2 + 2*n + 21 + 1/2*n**3. What is -4*h(i) + 7*y(i)? -7*i Let f = -2995 + 2996. Let h(n) = -2*n**2 - 2*n + 9. Let l(a) = -a. What is f*h(t) - 2*l(t)? -2*t**2 + 9 Let w(n) = -2*n**2 + 2*n - 1. Let j(v) = -3*v - 9. Let g be j(-2). Let k(a) be the first derivative of -a**3 + 2*a**2 - 2*a + 1070. Calculate g*k(b) + 5*w(b). -b**2 - 2*b + 1 Suppose -11*a + 766 = 689. Let m(d) = -15*d**2 - 7*d. Let f(t) = 7*t**2 + 4*t. Determine a*f(h) + 4*m(h). -11*h**2 Let b(k) = -4*k**3 + 2*k**2 - k - 6. Let z(o) = -o**2 + 103*o - 1658. Let r be z(20). Let i(x) = 16*x**3 - 9*x**2 + 4*x + 24. Calculate r*i(d) + 9*b(d). -4*d**3 - d - 6 Let q(c) = 3 - 7 - 3*c +
{ "pile_set_name": "DM Mathematics" }
between 1:13 AM and 5:28 AM? 255 What is 4 minutes after 12:16 AM? 12:20 AM What is 127 minutes before 4:13 AM? 2:06 AM How many minutes are there between 10:11 AM and 6:48 PM? 517 How many minutes are there between 12:28 AM and 2:35 AM? 127 What is 669 minutes before 1:53 AM? 2:44 PM What is 423 minutes after 2:46 PM? 9:49 PM What is 33 minutes before 12:55 PM? 12:22 PM What is 454 minutes after 1:55 AM? 9:29 AM How many minutes are there between 11:31 AM and 2:16 PM? 165 What is 535 minutes after 1:32 PM? 10:27 PM How many minutes are there between 4:54 AM and 6:35 AM? 101 How many minutes are there between 2:48 AM and 5:16 AM? 148 How many minutes are there between 10:52 AM and 5:53 PM? 421 How many minutes are there between 7:14 AM and 2:18 PM? 424 How many minutes are there between 5:37 PM and 10:11 PM? 274 What is 532 minutes after 6:59 AM? 3:51 PM What is 238 minutes before 3:56 PM? 11:58 AM How many minutes are there between 9:12 AM and 2:40 PM? 328 What is 154 minutes after 5:07 PM? 7:41 PM What is 538 minutes after 4:05 AM? 1:03 PM How many minutes are there between 6:38 AM and 2:04 PM? 446 How many minutes are there between 3:10 PM and 5:17 PM? 127 What is 388 minutes after 8:15 AM? 2:43 PM How many minutes are there between 9:50 AM and 8:01 PM? 611 How many minutes are there between 12:59 PM and 8:59 PM? 480 What is 388 minutes after 6:16 AM? 12:44 PM What is 354 minutes after 3:20 PM? 9:14 PM What is 488 minutes after 6:50 AM? 2:58 PM What is 11 minutes before 6:05 PM? 5:54 PM How many minutes are there between 5:01 PM and 7:54 PM? 173 What is 679 minutes after 9:04 PM? 8:23 AM How many minutes are there between 6:13 AM and 9:37 AM? 204 How many minutes are there between 2:33 PM and 10:20 PM? 467 What is 539 minutes before 4:10 PM? 7:11 AM What is 535 minutes before 1:11 PM? 4:16 AM How many minutes are there between 2:47 PM and 3:06 PM? 19 What is 643 minutes after 10:52 PM? 9:35 AM What is 145 minutes after 8:29 AM? 10:54 AM How many minutes are there between 11:29 PM and 9:53 AM? 624 How many minutes are there between 6:49 AM and 10:49 AM? 240 How many minutes are there between 9:41 AM and 12:03 PM? 142 How many minutes are there between 10:08 PM and 9:36 AM? 688 How many minutes are there between 9:26 AM and 2:49 PM? 323 What is 557 minutes before 2:50 AM? 5:33 PM What is 82 minutes before 5:43 AM? 4:21 AM What is 702 minutes after 1:52 PM? 1:34 AM How many minutes are there between 6:45 AM and 5:12 PM? 627 How many minutes are there between 9:18 PM and 10:06 PM? 48 How many minutes are there between 9:46 PM and 8:02 AM? 616 How many minutes are there between 10:17 PM and 3:03 AM? 286 What is 386 minutes before 8:31 PM? 2:05 PM How many minutes are there between 6:12 PM and 10:22 PM? 250 What is 123 minutes before 7:09 PM? 5:06 PM How many minutes are there between 1:59 PM and 5:36 PM? 217 How many minutes are there between 6:55 AM and 5:38 PM? 643 What is 371 minutes before 1:03 AM? 6:52 PM How many minutes are there between 8:50 AM and 2:50 PM? 360 How many minutes are there between 3:39 AM and 1:20 PM? 581 How many minutes are there between 6:23 AM and 8:52 AM? 149 How many minutes are there between 1:30 PM and 3:17 PM? 107 What is 687 minutes after 6:43 PM? 6:10 AM How many minutes are there between 4:27 AM and 9:10 AM? 283 How many minutes are there between 9:38 PM and 3:01 AM? 323 How many minutes are there between 6:10 PM and 8:18 PM? 128 What is 52 minutes before 3:36 AM? 2:44 AM How many minutes are there between 11:54 PM and 2:13 AM? 139 What is 260 minutes before 7:37 PM? 3:17 PM What is 207 minutes before 12:12 AM? 8:45 PM How many minutes are there between 10:12 AM and 11:23 AM? 71 What is 485 minutes after 1:16 AM? 9:21 AM What is 324 minutes after 12:51 AM? 6:15 AM How many minutes are there between 1:16 PM and 11:23 PM? 607 What is 41 minutes before 10:56 PM? 10:15 PM What is 631 minutes before 8:56 AM? 10:25 PM What is 142 minutes before 4:23 PM? 2:01 PM What is 430 minutes before 8:24 PM? 1:14 PM How many minutes are there between 9:04 AM and 5:59 PM? 535 What is 572 minutes before 6:04 PM? 8:32 AM How many minutes are there between 7:49 PM and 1:56 AM? 367 What is 557 minutes after 11:47 AM? 9:04 PM What is 644 minutes before 11:16 AM? 12:32 AM How many minutes are there between 9:16 AM and 12:09 PM? 173 How many minutes are there between 5:37 AM and 6:33 AM? 56 What is 662 minutes before 8:52 PM? 9:50 AM How many minutes are there between 9:15 AM and 5:01 PM? 466 What is 623 minutes before 9:37 PM? 11:14 AM How many minutes are there between 6:15 AM and 8:10 AM? 115 What is 195 minutes before 1:20 AM? 10:05 PM What is 439 minutes after 7:03 AM? 2:22 PM What is 132 minutes after 5:22 AM? 7:34 AM What is 547 minutes after 6:09 AM? 3:16 PM How many minutes are there between 4:11 PM and 12:59 AM? 528 How many minutes are there between 1:57 PM and 11:42 PM? 585 How many minutes are there between 9:56 AM and 8:13 PM? 617 What is 77 minutes after 5:52 PM? 7:09 PM What is 76 minutes before 6:16 PM? 5:00 PM How many minutes are there between 7:50 PM and 2:17 AM? 387 What is 252 minutes before 10:56 PM? 6:44 PM What is 493 minutes after 10:05 AM? 6:18 PM What is 669 minutes before 5:02 PM? 5:53 AM How many minutes are there between 4:29 PM and 7:24 PM? 175 What is 492 minutes before 6:56 PM? 10:44 AM What is 207 minutes after 11:55 AM? 3:22 PM What is 103 minutes before 11:38 PM? 9:55 PM How many minutes are there between 5:25 PM and 1:02 AM? 457 What is 184 minutes before 9:46 PM? 6:42 PM How many minutes are there between 2:51 AM and 6:02 AM? 191 What is 623 minutes after 3:12 AM? 1:35 PM How many minutes are there between 4:16 AM and 11:50 AM? 454 How many minutes are there between 2:19 AM and 7:41 AM? 322 How many minutes are there between 8:17 AM and 5:03 PM? 526 How many minutes are there between 7:14 AM and 4:13 PM? 539 How many minutes are there between 4:18 PM and 6:24 PM? 126 How many minutes are there between 6:37 AM and 7:27 AM? 50 How many minutes are there between 4:52 PM and 10:17 PM? 325 What is 481 minutes before 4:15 PM? 8:14 AM How many minutes are there between 10:20 PM and 3:30 AM? 310 What is 167 minutes after 6:26 PM? 9:13 PM What is 341 minutes after 8:29 AM? 2:10 PM How many minutes are there between 8:11 PM and 5:58 AM? 587 How many minutes are there between 1:15 PM and 4:06 PM? 171 What is 320 minutes before 5:07 AM? 11:47 PM What is 560 minutes after 2:22 AM? 11:42 AM What is 254 minutes after 11:14 AM? 3:28 PM How many minutes are there between 11:04 AM and 7:41 PM? 517 How many minutes are there between 12:45 PM and 3:14 PM? 149 What is 2 minutes after 5:55 AM? 5:57 AM How many minutes are there between 6:54 PM and 12:39 AM? 345 How many minutes are there between 8:48 PM and 1:44 AM? 296 What is 175 minutes after 11:27 PM? 2:22 AM What is 525 minutes before 8:20 AM? 11:35 PM What is 97 minutes before 10:48 PM? 9:11 PM How many minutes are there between 12:27 PM and 11:08 PM? 641 How many minutes are there between 1:27 AM and 8:55 AM? 448 How many minutes are there between 11:17 AM and 12:01 PM? 44 What is 4 minutes before 4:16 PM? 4:12 PM How many minutes are there between 8:45 PM and 10:23 PM? 98 What is 482 minutes after 1:19 PM? 9:21 PM What is 399 minutes after 5:17 AM? 11:56 AM What is 166 minutes after 2:20 PM? 5:06 PM How many minutes are there between 2:59 PM and 8:01 PM? 302 How many minutes are there between 6:15 AM and 10:28 AM? 253 What is 19 minutes after 2:36 PM? 2:55 PM What is 474 minutes after 10:28 AM? 6:22 PM How many minutes are there between 9:31 PM and 12:53 AM? 202 What is 107 minutes before 8:44 PM? 6:57 PM What is 250 minutes after 10:44 PM? 2:54 AM How many minutes are there between 10:59 PM and 9:23 AM? 624 How many minutes are there between 10:14 PM and 9:31 AM? 677 What is 318 minutes after 7:16 PM? 12:34 AM What is 249 minutes before 5:53 PM? 1:44 PM How many minutes are there between 11:43 PM and 2:21 AM? 158 How many minutes are there between 12:46 PM and 7:02 PM? 376 What is 236 minutes before 12:38 PM? 8:42 AM What is 400 minutes before 7:40 PM? 1:00 PM What is 605 minutes before 6:55 PM? 8:50 AM How many minutes are there between 11:39 PM and 11:1
{ "pile_set_name": "DM Mathematics" }
4*q**2 - q - 1. Give o(4). -5 Let d(i) = -12*i - 105. What is d(-10)? 15 Let u(t) = t**3 + 3*t**2 - 5*t + 4. Determine u(3). 43 Let d(c) = c**3 - 29*c**2 + 27*c + 29. Give d(28). 1 Let u(b) = -b**3 - 8*b**2 - 4*b. What is u(-7)? -21 Let a(v) = -2*v**3 - 8*v**2 + 2*v - 4. What is a(-4)? -12 Let r(t) = 55*t**2 - 879*t - 19. Calculate r(16). -3 Let m(i) = i**3 + i**2 - i. Calculate m(-3). -15 Let k(t) = t**3 - 21*t**2 + 20*t - 2. Determine k(20). -2 Let b(p) = 27*p**3 - 3*p**2 - p + 1. Determine b(-1). -28 Let m(f) = f**3 - 21*f**2 - 4. Determine m(21). -4 Let c(j) = -j**3 - 15*j**2 + 15*j - 15. Determine c(-16). 1 Let x(t) = t**2 + 12*t + 8. Calculate x(-11). -3 Let v(l) = l**2 + 34*l + 302. Give v(-16). 14 Let f(z) = -z**3 - 2*z**2 + 7*z - 6. Determine f(-4). -2 Let d(v) = v**2 - 27*v + 80. What is d(3)? 8 Let h(v) = -v**3 + 23*v**2 + 28*v - 102. What is h(24)? -6 Let h(t) = -t**2 + 5*t + 4. Give h(6). -2 Let a(m) = -m**3 + 5*m**2 + 2*m - 2. Give a(5). 8 Let t(f) = -84*f - 1098. Calculate t(-13). -6 Let t(s) = -s**3 - 8*s**2 - 4*s - 3. Give t(-6). -51 Let b(n) = -n**2 - 2*n + 50. What is b(-8)? 2 Let l(m) = m + 30. Calculate l(-26). 4 Let v(l) = -l**3 + 3*l**2 + 4*l + 17. What is v(5)? -13 Let d(q) = 140*q + 8. Calculate d(1). 148 Let g(q) = 23*q**2 - q + 1. Calculate g(1). 23 Let u(g) = -6*g**2 - 2*g + 2. Calculate u(1). -6 Let r(a) = 20*a - 21. Calculate r(5). 79 Let a(c) = c**2 - 9*c - 1. Calculate a(9). -1 Let u(l) = l**2 + 28*l + 89. What is u(-24)? -7 Let t(m) = -m**3 + 3*m**2 + 2*m + 3. Calculate t(4). -5 Let i(t) = t**3 - 18*t**2 - 20*t + 24. Determine i(19). 5 Let x(r) = -r**3 - 30*r**2 + 2*r + 45. Give x(-30). -15 Let v(s) = -3*s + 86. Determine v(30). -4 Let f(n) = -n**3 + 4*n**2 + 2*n - 5. Determine f(5). -20 Let l(d) = -d**3 + 6*d**2 - 3*d + 5. Give l(4). 25 Let q(f) = 18*f + 23. Give q(-4). -49 Let v(x) = -x**2 - 15*x - 41. Calculate v(-13). -15 Let f(j) = j**2 + 4*j - 5. Determine f(2). 7 Let z(t) = 4*t + 7. Determine z(-5). -13 Let z(p) = p**3 - 11*p**2 + 11*p - 7. Determine z(10). 3 Let r(h) = h**3 + 7*h**2 - 8*h + 6. What is r(-8)? 6 Let v(o) = 2*o**2 - 4*o - 103. What is v(-6)? -7 Let x(t) = -44*t - 21. What is x(-1)? 23 Let l(o) = o - 10. Give l(13). 3 Let m(n) = -2*n - 13. What is m(-16)? 19 Let q(r) = r**3 - 8*r - 12. Determine q(3). -9 Let a(w) = 4*w**2 + 2*w - 5. Give a(4). 67 Let s(z) = z**3 + 9*z**2 - 13*z - 14. What is s(-10)? 16 Let d(s) = 2*s - 13. Determine d(3). -7 Let a(d) = d**3 + 7*d**2 + 17*d + 39. What is a(-5)? 4 Let z(c) = 4*c**2 - 15*c - 10. Determine z(5). 15 Let l(d) = -d. Calculate l(-3). 3 Let l(b) = 4*b + 21. Determine l(6). 45 Let u(p) = 3*p + 3. Determine u(-2). -3 Let w(j) = -3*j**3 - 4*j**2 - j - 4. Give w(-3). 44 Let f(l) = l**3 - 5*l**2 - 5*l + 13. Give f(5). -12 Let o(n) = -20*n + 2. What is o(1)? -18 Let w(j) = j**2 + 6*j - 11. Calculate w(-8). 5 Let q(l) = 5*l - 7. Calculate q(4). 13 Let n(m) = -m**3 - 13*m**2 + 13*m - 7. Calculate n(-14). 7 Let l(d) = 2*d**2 + 5*d - 4. Calculate l(-4). 8 Let m(k) = -k**2 + 3*k + 7. What is m(-3)? -11 Let a(p) = -2*p**2 - p - 3. Determine a(4). -39 Let y(t) = -2*t**2 + 32*t + 58. Give y(18). -14 Let l(q) = 83*q - 260. Determine l(3). -11 Let w(f) = 5*f + 4. Calculate w(-3). -11 Let i(z) = z**2 - z - 56. Determine i(0). -56 Let o(j) = j**3 + 5*j**2 + 5*j + 24. Give o(-6). -42 Let r(n) = -n**2 + 9*n - 4. Give r(4). 16 Let o(m) = 4*m + 53. Calculate o(-14). -3 Let l(g) = 7*g**2 - 8*g - 1. Calculate l(2). 11 Let a(b) = -3*b + 1. Give a(9). -26 Let r(m) = 8*m**2 - 2*m - 9. Determine r(-3). 69 Let c(s) = 8*s + 10. Calculate c(-6). -38 Let v(h) = -3*h**2 + 35*h + 1. Determine v(11). 23 Let u(c) = c + 19. Determine u(-10). 9 Let w(l) = 3*l + 3. Give w(-3). -6 Let o(s) = 22*s + 169. Give o(-8). -7 Let b(y) = y**3 - y**2 - 9*y - 3. What is b(-4)? -47 Let x(m) = -15*m - 887. Calculate x(-58). -17 Let t(d) = 10*d + 30. Determine t(-3). 0 Let s(a) = -a**2 - 2*a - 86. Calculate s(0). -86 Let m(p) = 5*p + 35. What is m(-6)? 5 Let g(z) = -z**3 - 5*z**2 + 7. Calculate g(-5). 7 Let j(c) = -11*c - 6. Determine j(5). -61 Let a(y) = y**3 + 9*y**2 + 10*y + 6. What is a(-8)? -10 Let k(y) = -y**2 + 9*y - 47. Calculate k(7). -33 Let k(h) = 4*h + 22. Give k(-7). -6 Let z(k) = 4*k**2 - 2*k - 8. Give z(-2). 12 Let v(o) = -o**3 - 8*o**2 + 5*o + 12. Calculate v(-9). 48 Let j(h) = -h + 23. What is j(10)? 13 Let g(n) = n**3 + 14*n**2 + 14*n + 21. Determine g(-13). 8 Let s(a) = -28*a. Calculate s(-1). 28 Let m(v) = -v**3 + 8*v**2 + v - 11. Give m(8). -3 Let x(q) = -2*q + 25. Determine x(7). 11 Let f(c) = -c**3 - 12*c**2 - 28*c - 12. Give f(-9). -3 Let r(f) = f**3 - 12*f**2 + 11*f - 11. What is r(11)? -11 Let x(w) = -2*w - 14. Calculate x(-13). 12 Let q(p) = -2*p**2 + 10*p + 11. Determine q(5). 11 Let k(a) = -12*a + 155. What is k(14)? -13 Let o(u) = 2*u**2 + 15*u - 7. What is o(-8)? 1 Let n(r) = r**3 - 5*r**2 + 3*r + 4. What is n(4)? 0 Let a(f) = -f**3 - 6*f**2 - 7*f - 7. Give a(-5). 3 Let s(y) = -2*y + 8. Give s(-3). 14 Let g(v) = 2*v**3 - 9*v**2 - 5*v - 2. Give g(5). -2 Let o(x) = -x**3 - 12*x**2 - 7*x + 53. Calculate o(-11). 9 Let g(m) = m**3 + 7*m**2 - 6*m + 12. What is g(-9)? -96 Let p(u) = -12*u + 2. Calculate p(-2). 26 Let t(f) = -5*f - 91. Determine t(-21). 14 Let n(x) = -x**3 + 6*x**2 - 3*x. What is n(5)? 10 Let f(z) = z**3 - 31*z**2 + 3*z - 27. Give f(31). 66 Let v(m) = -14*m**2 + 3*m - 2. Calculate v(2). -52 Let q(w) = w**3 + 7*w**2 - 5. Give q(-7). -5 Let k(c) = 20*c**2 + 43*c - 4. Give k(-2). -10 Let n(a) = -a**2 + 6*a - 5. Calculate n(4). 3 Let i(h) = -h**3 - 8*h**2 - 8*h - 8. Give i(-7). -1 Let g(p) = 49*p - 3. Determine g(1). 46 Let t(i) = i - 33. Calculate t(19). -14 Let o(y) = -y**3 + 10*y**2 + 14*y + 18. Calculate o(11). 51 Let k(p) = -p**2 - 11*p - 9. Give k(-10). 1 Let c(d) = -d - 5. Give c(-11). 6 Let c(d) = -29*d + 35. Give c(1). 6 Let l(n) = -n**3 - 2*n**2 + 26*n - 43. Determine l(2). -7 Let n(r) = -r**3 + 8*r**2 - 5*r - 2. Calculate n(7). 12 Let h(t) = -t**3 - 7*t**2 - 8*t + 7. Calculate h(-4). -9 Let t(s) = -2*s + 70. Calculate t(32). 6 Let x(h) = -6*h + 10. Determine x(4). -14 Let f(t) = -t**3 - t**2 - t + 3. Calculate f(0). 3 Let p(b) = -b**3 + 6*b**2 + 16*b - 6. Determine p(8). -6 Let p(u) = 10*u + 131. Calculate p(-13). 1 Let r(s) = s**2 + 4*s - 15. Determine r(-5). -10 Let n(v) = -2*v**2 - 41*v + 44. Give n(-21). 23 Let q(t) = 12*t**3 - t**2 - 2*t + 2. Determine q(1). 11 Let l(u) = -2*u + 25. Calculate l(9). 7 Let u(y) = -y**2 + y - 15. Give u(0). -15 Let h(l) = 11*l**2 - 6*l + 12. Determine h(2). 44 Let z(p) = 24*p - 8. What is z(-3)? -80 Let l(k) = k**3 + 14*k**2 - 14*k + 22. What is l(-15)? 7 Let c(w) = w**3 - 8*w**2 - 8*w + 5. Calculate c(9). 14 Let m(q) = q**2 + 16*q + 29. Determine m(-12). -19 Let x(w) = w**3 + 2*w**2 - 9*w - 10. Determine x(-5). -40 Let g(d) = 20*d + 111. What is g(-5)? 11 Let z(t) = t**2 - 8*t + 14. Determine z(4). -2 Let a(t) = -t**2 - 33*t + 144. Calculate a(-37). -4 Let j(p) = -p**2 + 14*p - 27. Calculate j(10). 13 Let k(q) = -q - 7. What is k(-7)? 0 Let i(p) = -5*p + 1. What is i(6)? -29 Let z(f) = 4*f + 1. Determine z(-1). -3 Let o(h) = h**3 - 4*h**2 - 3*h + 9. Calculate o(4). -3 Let u(w) = -w**2 - 8*w + 3. Calculate u(-5). 18 Let o(m) = -m**3 + 8*m**2 + m - 7. Determine o(8). 1 Let r(h) = -19*h + 1. Give r(2). -37 Let k(t) = t**3 - 10*t**2 + 13*t - 19. Determine k(10). 111 Let m(g) = -3*g - 1. What is m(-4)? 11 Let u(z) = -6*z - 3. Determine u(-2). 9 Let u(t) = 4*t + 16. Determine u(7). 44 Let d(j) = j**3 + 14*j**2 - 3. Determine d(-14). -3 Let i(s) = -s**2 - 11*s - 9. Calculate i(-4). 19 Let k(n) = n - 7. What is k(11)? 4 Let h(i) = -4*i + 16. Calculate h(-7). 44 Let y(n) = 2*n - 6. Calculate y(9). 12 Let n(g) = 2*g + 4. Determine n(4). 12 Let j(v) = -3*v**2 - 43*v + 29. Calculate j(-15). -1 Let l(g) = -83*g + 154. Give l(2). -12 Let c(m) = -11*m**3 - 2*m**2 + 1. Calculate c(1). -12 Let v(q) = 3*q - 1. Give v(4). 11 Let b(a) = -a**3 - 2*a**2 + 7*a - 6. Determine b(-4). -2 Let m(v) = -v**2 - 56*v - 775. Calculate m(-23). -16 Let u(g) = -26*g - 485. Give u(-19). 9 Let i(h) = -13*h - 191. What is i(-15)? 4 Let a(j) = -j**3 + 11*j**2 + 8*j + 5. Calculate a(12). -43 Let b(q) = q - 18. Calculate b(16). -2 Let g(o) = -o**3 - 5*o**2
{ "pile_set_name": "DM Mathematics" }
2)/(-3). Let y(u) = 1 + 9 - 2 - 43*u - g. Determine z(y(n)). -43*n + 1 Let p(w) = -185*w. Let h(g) = 2*g - 140116. Give h(p(m)). -370*m - 140116 Let s(t) = 247*t**2 - 3*t + 2. Let j(w) = -476*w. Let o(n) = -106*n. Let q(l) = 2*j(l) - 9*o(l). What is q(s(y))? 494*y**2 - 6*y + 4 Let t(b) be the second derivative of 0 + 0*b**3 - 1/2*b**4 + 0*b**2 - 205*b. Let g(i) = 6*i**2 + 3. Determine t(g(h)). -216*h**4 - 216*h**2 - 54 Let j(m) = -6*m - 16610. Let o(l) = l + 373. What is j(o(x))? -6*x - 18848 Let x(b) = 1371*b - 15623. Let p(t) = -5*t. Give p(x(h)). -6855*h + 78115 Let b(d) = -11*d. Let p(n) be the first derivative of 11*n**3/3 - 3*n + 918. Give b(p(g)). -121*g**2 + 33 Let r(m) = 421*m**2. Let l(j) = -597*j - 7. Let v(x) = 256*x + 3. Let a(f) = 3*l(f) + 7*v(f). Give a(r(p)). 421*p**2 Let f(j) = 362*j**2 + 361*j**2 + 366*j**2 + 361*j**2 - 1448*j**2. Let r(l) = -34*l + 10. What is f(r(o))? 2312*o**2 - 1360*o + 200 Let a(s) = -17*s. Let w be 0/(-1)*(-2 + 1). Let j be 195/39 + 1/((-1)/2). Let u(z) = w*z - z + j*z - z. What is a(u(r))? -17*r Let g(n) be the first derivative of n**4/6 + 21*n**2/2 - 12*n - 37. Let x(u) be the first derivative of g(u). Let a(r) = -2*r**2. What is x(a(z))? 8*z**4 + 21 Let w(y) = 9*y**2. Let f(a) = 401225*a**2. Determine f(w(x)). 32499225*x**4 Let i(z) = -12*z. Suppose -76*u = -69*u - 14. Let a(o) = -2 + o + 2. Let p(s) = u*i(s) + 22*a(s). Let r(f) = 50*f**2. Give p(r(b)). -100*b**2 Let h(j) = -17*j + 979. Let d(y) = 6*y - 356. Let t(f) = -11*d(f) - 4*h(f). Let z(r) = -6360*r. Give z(t(a)). -12720*a Let d(g) = -g. Suppose 4*a - 8 = 3*u, -233*a + 8 = -229*a - 4*u. Let w(n) be the second derivative of 0 + 0*n**a + 34*n + 4/3*n**3. Determine d(w(z)). -8*z Let g(j) = 245*j - 5098. Let i(a) = -39*a. Determine g(i(t)). -9555*t - 5098 Let c(f) = 2*f. Let v(s) = 60*s - 245. Let p(z) = 5*z - 21. Let q(h) = 35*p(h) - 3*v(h). Determine q(c(o)). -10*o Suppose 2*r + 199 = -109. Let q(u) = 70*u**2 - 77*u - 77. Let n(i) = i**2 - i - 1. Let b(w) = r*n(w) + 2*q(w). Let s(x) = -5*x**2. Give b(s(h)). -350*h**4 Let c(i) be the third derivative of 0*i**4 + 1/30*i**5 + 0 + 0*i**3 + 116*i**2 + 0*i. Let w(y) = -106*y**2. Give c(w(l)). 22472*l**4 Let i(v) = -131*v - 49. Let k(y) = -3*y**2 + 109*y. What is i(k(s))? 393*s**2 - 14279*s - 49 Let i(c) = 23*c - 56. Let f(x) = -2*x**2 - 3105*x. Give i(f(v)). -46*v**2 - 71415*v - 56 Let m(g) = -690708923*g**2. Let t(f) = -f. Determine m(t(j)). -690708923*j**2 Let k(m) be the third derivative of 0 + 8*m + 1/2*m**4 + 0*m**3 - 2*m**2. Let o(q) = 2*q**2 - q**2 - 5*q**2. Calculate o(k(z)). -576*z**2 Let t(q) = -2*q. Let f(w) = 52879*w. What is t(f(b))? -105758*b Let i(l) = 6358*l. Let g(u) = -28*u + 34. Determine i(g(x)). -178024*x + 216172 Let r(h) = 15*h**2. Let t(k) = 100*k + 132. Let a(q) = -401*q - 572. Let s(g) = -3*a(g) - 13*t(g). Calculate r(s(z)). 141135*z**2 Let w(m) = 2*m**2. Let s = 114 - 108. Let c(h) = -6264*h + 145. Let v(q) = 261*q - 6. Let o(d) = s*c(d) + 145*v(d). What is w(o(l))? 136242*l**2 Let f(d) = -d - 8284. Let c(s) = -9*s**2. Determine c(f(j)). -9*j**2 - 149112*j - 617621904 Let t(l) = 8*l. Let c(d) = 0*d + 10*d**2 + 0*d + 7565 - 7566. What is t(c(v))? 80*v**2 - 8 Let i(p) = -29639*p. Let b(o) = 2*o - 1637. Determine i(b(v)). -59278*v + 48519043 Let w(d) = -d**2. Suppose -265*o = -262*o - 198. Let h be (10/6 - 3)*-3. Let y(a) = -h*a - 66 + a + o. Give y(w(k)). 3*k**2 Let p(o) = 105*o. Let m(n) = -290*n**2 + 87*n + 522. Let d(t) = 13*t**2 - 4*t - 24. Let l(u) = 87*d(u) + 4*m(u). Calculate l(p(j)). -319725*j**2 Let h be 7/(-2)*((-84)/98 + -2). Let w(p) = 10 - 303*p - h + 52*p. Let x(u) = 2*u. Give x(w(q)). -502*q Let x(k) = -207310 + k**2 + 414625 - 97*k - 207315 - 34*k. Let z(d) = -6*d. Give z(x(q)). -6*q**2 + 786*q Let t(c) = -9*c**2 - 7*c**2 + 24*c**2 + c**2. Let v(a) be the third derivative of 0*a + 0 + 0*a**4 + 0*a**3 + a**2 - 1/30*a**5. Give v(t(o)). -162*o**4 Let k(t) = -5*t**2 + 60*t - 55. Let s be k(11). Let w(f) be the first derivative of s*f + 17/3*f**3 - 38 + 0*f**2. Let i(q) = -4*q**2. Determine i(w(z)). -1156*z**4 Let l(r) = -26581*r - 2. Let z(s) = -598391255*s - 45025. Let k(n) = -45025*l(n) + 2*z(n). Let i(x) = 2*x. Calculate i(k(m)). 54030*m Let d(k) = 42*k + 4. Let t(p) = -537519*p**2. What is d(t(n))? -22575798*n**2 + 4 Let s(f) be the first derivative of -2*f**3/3 + 1. Let j(a) = 34*a**2 + 6*a. Let r(k) = 448*k**2 + 80*k. Let g(t) = 80*j(t) - 6*r(t). What is g(s(z))? 128*z**4 Let o(q) be the second derivative of -33*q - 17/6*q**3 + 0*q**2 - 4. Let g(k) = -6*k. What is g(o(m))? 102*m Let d(c) = -2*c - 21. Let b be d(-12). Let t be (1*b)/(45/6 + -6). Let m(k) = -k**t - 9*k**2 + 13*k**2. Let z(v) = -20*v**2. What is m(z(l))? 1200*l**4 Let t(a) = 14*a + 66. Let q(o) = 12*o + 55. Let i(f) = 6*q(f) - 5*t(f). Let y(z) = 129*z + 7. What is i(y(m))? 258*m + 14 Let x(p) be the second derivative of p**4/12 - 5*p**3/3 + 93*p - 17. Let s be -4 - 12/(-4) - -3. Let t(a) = s*a + a - a. Calculate x(t(d)). 4*d**2 - 20*d Let d(b) = -43 + b - 27 - 4 + 4 - 3. Let t(n) = -n. Determine d(t(q)). -q - 73 Let q(a) = -a. Let l(y) be the third derivative of 0*y + 0*y**3 - 34/15*y**5 + 0*y**4 + 0 - 158*y**2. Give q(l(r)). 136*r**2 Let c(l) = -2 + 5 + 0 - 4 - 1 + 18*l. Let x(q) be the first derivative of q**3/6 - 10*q + 9. Let a(i) be the first derivative of x(i). Determine c(a(w)). 18*w - 2 Let j(n) = n. Let r(g) = -68595413*g. Determine j(r(f)). -68595413*f Let y(r) = 484*r + 18. Let k(o) = 18392*o + 693. Let v(n) = 2*k(n) - 77*y(n). Let c(g) = -g**2. Determine c(v(q)). -234256*q**2 Let z(w) be the second derivative of -13*w**3 + 159*w. Let t(y) = -39*y**2. Give z(t(s)). 3042*s**2 Let d(y) = 9706*y + 9. Let b(s) = 30*s**2 + 7*s. Calculate d(b(a)). 291180*a**2 + 67942*a + 9 Let o(m) be the third derivative of m**5/60 + 21*m**3/2 - 1449*m**2. Let a(n) = 14*n**2. What is a(o(t))? 14*t**4 + 1764*t**2 + 55566 Let w(l) = l**2 + 47*l. Let j(n) = 7076*n + 7. Calculate j(w(d)). 7076*d**2 + 332572*d + 7 Let h(j) = 69*j**2. Let f(y) = -3*y**2 + 1532743*y. What is f(h(c))? -14283*c**4 + 105759267*c**2 Let t(f) = 5*f**2 - 5*f - 2. Let x(w) = -8*w**2 + 7*w + 3. Let d(u) = 7*t(u) + 5*x(u). Let v(l) = 15*l**2 - 21*l**2 + 9*l**2 - 4*l**2. What is v(d(o))? -25*o**4 + 10*o**2 - 1 Let w(k) = -167*k**2. Let h(p) be the second derivative of p**5/60 - 89*p**2/2 - 4*p. Let r(f) be the first derivative of h(f). Give w(r(y)). -167*y**4 Let g(p) = -4*p**2. Let d(b) = 3*b**3 - 4*b**2 + 3*b. Let q be d(2). Let i = -2852 - -2856. Let l(z) = -q*z - i*z - 12*z + 17*z. What is g(l(a))? -676*a**2 Let y(v) = v**2 - 5*v. Let d(i) = -68579*i**2. Determine y(d(h)). 4703079241*h**4 + 342895*h**2 Let d(o) be the first derivative of 94*o**3/3 + 112*o + 116. Let t(k) be the first derivative of d(k). Let z(i) = -2*i**2. Give z(t(m)). -70688*m**2 Let w be (-2 - (-6)/4)*0*1. Suppose w*s = -3*s - b + 340, 3*b - 455 = -4*s. Let q(t) = 13*t + s - 52 - 61. Let k(f) = -2*f**2. Determine q(k(i)). -26*i**2 Let v(s) = 81656*s + 1224*s**2 - 40828*s - 40828*s. Let u(w) = 3*w**2. Give v(u(r)). 11016*r**4 Let i(f) = 22*f - 6*f - 7*f - 12*f. Let r(n) = -2*n**2 - 159. Calculate i(r(v)). 6*v**2 + 477 Let a(g) = 268436381*g. Let n(t) = -t. Determine n(a(v)). -268436381*v Let r(c) = -c**2 + 22. Let q(d) = 3*d + 6090 + 6052 - 12184. What is r(q(s))? -9*s**2 + 252*s - 1742 Let g(d) = -8*d**2. Let z(u) = -225*u**2. Suppose 3*h = 3*f - 6, -3*f + 26 = -h - 8*f. Let t(x) = h*z(x) + 170*g(x). Let l(m) = 6*m. Give l(t(p)). -60*p**2 Let b(v) = 457*v. Let d(q) = 80*q - 21*q - 62*q. What is b(d(m))? -1371*m Let d(i) = 1. Let q(r) = -r**2 - 3. Let n(v) = 3*d(v) + q(v). Let b(u) be the third derivative of 0 + 5*u**2 + 0*u**4 + 0*u**3 + 1/3*u**5 + 0*u. Give b(n(k)). 20*k**4 Let l(b) = -39*b**2 - 152*b + 765. Let a(t) = 2*t**2. What is l(a(k))? -156*k**4 - 304*k**2 + 765 Let c(d) = 66*d**2 + 2. Let g(a) = 2*a**2 - 199*a. What is g(c(q))? 8712*q**4 - 12606*q**2 - 390 Let y(b) = -3*b**2. Let g(m) = -120*m + 216. Let i(z) = -z**3 + z**2 + 3*z + 11. Let d be i(3). Let q(l) = l - 2. Let u(o) = d*g(o) + 216*q(o). Give y(u(p)). -1728*p**2 Let c(t) be the second derivative of -t**3/3 - 5679*t. Let m(l) = 2*l**2 - 11478*l. Give c(m(h)). -4*h**2 + 22956*h Let y(i) = 40*i
{ "pile_set_name": "DM Mathematics" }
/71 + 139. Let z = v - -77/426. Which is the biggest value? (a) z (b) -0.5 (c) 1 c Let k = 2 + -2. Suppose x = 27*j - 28*j + 5, j - 1 = x. Which is the third biggest value? (a) 2/21 (b) j (c) k c Let u = -23 - -22.6. Which is the second biggest value? (a) 1 (b) u (c) 0.1 c Let n(b) = -2*b + 13. Let d be n(5). Suppose -5*j - 2 = -3*r, -r - 9 = d*r + 5*j. What is the third biggest value in 3, r, 4? r Let g(t) = t**3 + 8*t**2 - 10*t - 8. Let n be g(-9). Let z = -4 + n. Let s = 2.5 - 0.5. Which is the smallest value? (a) z (b) s (c) 0.1 a Suppose -2*o = -46 - 10. Let l be o/(-15) - (-2)/1. Let m = -100/9 + 88/9. What is the third biggest value in m, -5, l? -5 Let n = -2/335 - -676/1005. What is the biggest value in -8, 2/5, n? n Let d = 12 - 25/2. Let n = -0.6 - -7.6. Let q = n + -3. Which is the third smallest value? (a) d (b) 0 (c) q c Suppose -4*c + 3*c = -4. Suppose 2*j - 12 = -c. Suppose x = 3*r - 12, 2*r + 2*x - 11 = r. What is the third biggest value in 0.1, j, r? 0.1 Let d = -6.02 + 6. Let h = d + 0.52. Let a = 0.35 + -0.05. What is the third smallest value in h, a, -2/3? h Let f = 5 + -3. Suppose 53 = 4*n - 8*k + 3*k, 2*n - 29 = 3*k. Which is the third biggest value? (a) -3 (b) f (c) n a Let z = 87 - 92. What is the third biggest value in z, 1/2, 0.1? z Let x = -33 - -32.5. Which is the third smallest value? (a) 0 (b) 1/6 (c) x b Let j = 15 + -15. What is the second biggest value in 0.3, j, 3/5? 0.3 Let l be (-9)/(-15)*(2 - (-16)/(-18)). What is the third biggest value in l, -0.1, 2? -0.1 Let g be (-6)/4*(-3)/9. Let x be 3*(3 - 78/27). What is the biggest value in g, x, 3? 3 Let t = -2 - -1.2. Let n = -0.3 - t. Let y = -0.08 + -2.92. What is the second biggest value in 5, n, y? n Let z be (-1)/3*(-7)/14. What is the smallest value in z, -3/4, -6/5? -6/5 Suppose -3*q = -9, -5*y + 0*y - 2*q = -96. Let k be (30/20)/(y/(-16)). What is the smallest value in k, 4/9, -4? -4 Let g = 53 - 53.2. What is the biggest value in 2/11, g, -5? 2/11 Let s = 0.5 + -1. Let u = 4 + -3. What is the smallest value in s, 2/3, u? s Let h = -7 + 6. What is the biggest value in 4, -2, h? 4 Let i be ((-1)/(-9))/((-1)/(-6)). Which is the biggest value? (a) 0.7 (b) i (c) -3 a Let s = 5 + -14. Let w = 8.5 + s. Which is the third smallest value? (a) 0.5 (b) 1 (c) w b Let m = -5 - -2. Let t = 3.9812 + 0.0188. What is the second biggest value in t, 1, m? 1 Let p be 2 + 1 - (-56)/(-24). Let q = -0.97 - -0.9. Let v = -0.37 - q. What is the smallest value in 5, v, p? v Let c = -4.5 + 6. Let z = 1 - c. Let v = z - -0.3. What is the third smallest value in 0, -2, v? 0 Let r = 2 - 1.4. Let w = r - 0.4. Let s = -0.2 + 0. Which is the third biggest value? (a) 5 (b) s (c) w b Let t = 3/3856 + -983301/26992. Let m = -36 - t. Which is the smallest value? (a) 3 (b) m (c) -0.4 c Let l = -12 + 13. Let v = 4 - 3.7. What is the biggest value in l, -0.2, v? l Let s(i) = -i**3 + 5*i**2 - 3*i - 2. Let c be s(3). Suppose -1 + c = t. What is the third smallest value in t, -4, 1/3? t Let q = -0.28 - 0.02. Which is the biggest value? (a) -1 (b) 3 (c) q (d) -3 b Let t = 1/4 + -7/4. Let k be 0 + (0 - 3/1). Which is the biggest value? (a) 0 (b) t (c) k a Suppose 6*l - 32 = -20. What is the third smallest value in -2/5, -2, l? l Let h = -11 - -8. Let x = -6 - h. What is the biggest value in -4, -5, x? x Let j = -263/712 - 1/178. Suppose 2*u = i, i + 1 + 1 = 0. Let z(k) = 4*k**3 - k. Let t be z(u). What is the second smallest value in -1, j, t? -1 Let o = -0.2 + 10.2. Let h = 10.3 - o. What is the third biggest value in h, 1, -5? -5 Let z be 2/(-5) + (-3)/(90/258). Which is the second biggest value? (a) -4 (b) -0.1 (c) 2 (d) z b Let r be (14/10 - 1) + 0. Which is the second biggest value? (a) -3/2 (b) r (c) 4 b Let l = -4/5 + -7/10. Which is the third biggest value? (a) 13 (b) 3 (c) l c Let j = -0.04 + 0.13. Which is the biggest value? (a) -2/9 (b) 2/11 (c) 5 (d) j c Suppose -4*f + 2*r - 126 = 0, r = -3*f - 41 - 56. Let m be (8/f)/(7/(-4)). Which is the third biggest value? (a) m (b) -0.3 (c) 2/7 b Let f = 4 + -3.8. Which is the smallest value? (a) -2 (b) -19 (c) f b Let s = 0.02 + -0.22. Suppose -7 = 2*f - 3*y - 2, f - 11 = -3*y. Let o be 3/27 - f/6. What is the third biggest value in o, -3, s? -3 Let n = 4 + -1. Which is the second biggest value? (a) 0.02 (b) n (c) 0.3 c Let f = -1228 - -1222.97. Let x = -0.01 - -0.04. Let u = f + x. Which is the second smallest value? (a) -1 (b) 5 (c) u a Let g = -0.15 - 0.15. Let x = 11 + -7. What is the biggest value in x, 1/4, g? x Let v = 0.04 + -0.03. Let o be (-4 - 1) + (-2 - -5). Which is the smallest value? (a) v (b) -0.4 (c) o c Let y = -11 + 10.7. Which is the second biggest value? (a) 1/3 (b) y (c) 2 (d) 0 a Let o = 12 - 14. What is the smallest value in 8, o, 4, -5? -5 Let k = 19 + -20. Let n = -2.2 - -0.2. What is the third biggest value in k, n, 2? n Let j(i) = i**2 - 17*i + 14. Let q be j(11). Let s be (-22)/8 - (-13)/q. What is the smallest value in -1/8, 1/4, s? s Let k = 0.33 - 0.23. Let n = k + 0.2. Which is the second smallest value? (a) n (b) -0.5 (c) 3/8 a Let c = -15 - -7. Let s = c + 7. What is the second smallest value in 3/4, 0, s? 0 Suppose -2*v + 4 = -0*v. Let a = 0.4 - 0.5. Let x = 2/269 - 552/1883. What is the second smallest value in a, v, x? a Let i = 0.1 - -0.1. Let c = 17 + -21. What is the second biggest value in 4, i, c? i Let m = -3 + 6. Let y be m/(-3) + 26 + -1. Suppose -5*x = -8*w + 4*w - y, 4*x = 2*w + 18. What is the biggest value in -4, 0.4, w? 0.4 Let u = 17 + 167. Suppose 5*w - 3*o = o - u, 5*o = 4*w + 140. Let r be (1/2)/(5/w). What is the smallest value in 1, 3, r? r Let j = -2.8 - -3. Let r = -0.5 + -0.5. Let k = 1 + r. Which is the third biggest value? (a) k (b) 0.4 (c) j a Let f = -8/9 - -5/9. Let z = 673/104 - 53/8. Which is the second smallest value? (a) -5 (b) z (c) f c Let n be 9*4/(-12)*-1. Suppose 3 + 3 = -2*i. Which is the smallest value? (a) i (b) -4 (c) n b Let n be 1 + (1/2 - 0). Let r = 6 + 8. Suppose -7*d + r + 7 = 0. Which is the third biggest value? (a) 0.4 (b) n (c) d a Let z = -6.2 + 5.6. What is the fourth biggest value in 4, z, 3/5, 1/4? z Let q = 0.09 + -0.09. Which is the second smallest value? (a) q (b) -4 (c) -0.1 c Let i = 1.2 - -2.8. Let a = 5 - 8. Let c = a + i. What is the smallest value in c, 0.3, 3/4? 0.3 Let a = 0.033 - 2.033. What is the third biggest value in 7, -0.5, a? a Let q = -0.4 + -0.1. Let u = -0.86 + -0.14. Let s = q - u. Which is the second biggest value? (a) -5 (b) -2 (c) s b Let v(n) = 3*n**3 - n**2 - n + 1. Let f be v(1). Let o = -4 + f. Let j = -5 + 4. Which is the third biggest value? (a) -1/2 (b) o (c) j b Let j = 0.06 - -1.94. Let d = -1.1 - -0.1. Which is the biggest value? (a) d (b) j (c) 1 b Let d = 7.6 - -0.4. Let n = -8 + d. Which is the third smallest value? (a) 0.7 (b) -4 (c) n a Let j = 1.95 - -0.05. Suppose -2*i + 51 = 11. Let m be (i/8)/(-5)*6. Which is the second biggest value? (a) j (b) -0.6 (c) m b Suppose u - 2 = -u. Let j be (u - -1) + 72/(-34). What is the second biggest value in -1/3, 1, j? j Let k(v) = -3*v**2 - v + 2. Let x be k(-4). Let g = -23 + 38. Let w be x/40 - 3/g. Which is the third biggest value? (a) -1 (b) w (c) -0.2 b Let m be 3/6 + (-42)/160. Let a = 7/16 - m. What is the smallest value in 1, -3, a? -3 Let r = -1/27 - 77/108. Let b = 44 - 44. What is the second biggest value in b, r, -0.01? -0.01 Let w(t) = -t**3 - 3*t**2 + 3*t - 4. Let g be w(-4). Let x = 10 + -7. Let i be (1 + (x - 6))/(-8). Which is the biggest value? (a) 1 (b) i (c) g a Let z = -22 + 14. Let m = z + 7.64. Let i = 0.06 + m. What is the smallest value in i, -1, 5? -1 Let s = 1.6 + -2.1. Let x = -0.5 + s. Let l = 0.02 + 0.38. Which is the second biggest value? (a) l (b) x (c) -1/4 c Suppose k - 3*k - 4*w - 22 = 0, -2*k - 7 = -w. Suppose 13*m + 8 = 17*m. What is the third smallest value in k, -3, m? m Suppose 0 = -2*n - j + 14, -j = -4*n + j + 20. Let o = -41 - -38. Let p = n + o. Which is the biggest value? (a) p (b) -3 (c) -4 a Suppose -14 = 2*b - m + 2*m, -3*m - 12 = 0. Let h = -2.3 + -0.7. What is the second smallest value in b, h, -6? b Let n =
{ "pile_set_name": "DM Mathematics" }
Suppose -2*k - 2*p - 6 = 0, 83*p - 81*p = -k - 9. Solve -x - 178 = -5*c - 202, 8 = c + k*x for c. -4 Suppose -4 = -o - 4*w, 2*o + 2*w + w = 8. Let t(i) = 2*i**2 - 76*i + 386. Let g be t(6). Solve -13 = -5*u - c, o*c - g = 3*u - 19 for u. 3 Let k be 368/207 - 2/(-9). Let i be k*-1*12/48*-6. Solve 0 = 3*q + i*s - 3, 2*q - 3*s - 18 = -s for q. 5 Suppose 4*r + 70 = u, 14 + 16 = -2*r + 3*u. Let q(y) = -8*y + 1. Let h be q(3). Let b = r - h. Solve -3*d = -b*o + 13, 2*o - 10 = -0*o for d. 4 Suppose -115 - 104 = -22*z - 43. Solve -3*c + c = 2*n - z, 5*n + 2*c = 5 for n. -1 Let h be -6 - 16*(-7)/14. Solve -2*v = 4*w + 2, -h*w + 3*v = 15 - 34 for w. 2 Let i(t) = t**3 + 10*t**2 - 11*t + 2. Let f be i(-11). Suppose -42*w = -138 + 12. Solve -u + 4 = -3*y - 6, 0 = -w*y + f*u - 11 for y. -3 Suppose 2*p - 2 = p. Let x(t) = 21*t - 6. Let m be x(-2). Let w = m - -52. Solve w*y - p = -k - y, -3*y = -4*k - 15 for k. -3 Suppose -74*s = -75*s - 3. Suppose 40 = -3*r + 25. Let w be (r/(-3))/((-1)/s). Solve -w*n - 14 = -3*v, 3*v - n - 4 = 6 for v. 3 Let x be (5/2 + -1)/(27/360). Let v be ((-48)/(-20))/(16/x). Solve 0 = -v*g + 2*l - 19, -5*g + 0*g - 33 = -4*l for g. -5 Suppose 64 = u + 7*u. Suppose u*v + 2 = 26. Let y = -33 + 36. Solve -y*l - 9 = 0, v*j + 2*l + 2*l + 15 = 0 for j. -1 Suppose 2*f - 12 = -4*x, -5*f - 2*x - 4 = -9*f. Let w be 11/f - 4/(-8)*-1. Solve 4*j = 3*y - 8, -1 + 11 = -5*j + w*y for j. -2 Let g = 556 + -553. Solve -4*w + 8 = -g*j - 24, 4*w - 8 = -3*j for j. -4 Let l = -2682 + 2684. Solve 3*u = -15, 0 = -l*t - 0*t + 2*u for t. -5 Let x = 8167 - 8162. Solve 0*u + 27 = x*p - u, 2*p - 3*u = 16 for p. 5 Let z be -14*(-11)/((-11)/(-6)). Suppose z = 9*k - 6*k. Let u be (210/(-49))/((-6)/k). Solve 0 = -5*q - 3*g + u, 6*g - 4*g = -3*q + 13 for q. 1 Let z(n) = -n**3 + 7*n**2 - 4*n - 9. Let d be z(6). Let g(o) = -8*o + 1 - o**d + 3 + 12*o - 3*o**2. Let k be g(-4). Solve 5*j + 5 = 0, 0*q + k = q + j for q. 5 Let b = -19 + 0. Let u = -19 - b. Suppose -n + u*n + 20 = -4*a, 5*a + 25 = 3*n. Solve -w + 4*i - 2*i = n, -2*i = -4*w for w. 0 Let a = -9068 + 9073. Let d be 4 - (4/(-2))/(-1). Solve a*t - 4*w - w = -25, 13 = -5*t + d*w for t. -1 Suppose 30 + 10 = 2*k. Let r = k + 23. Suppose r = -n + 46. Solve -u = 2*x - n*u - 2, x = 2*u for x. 2 Suppose -3 = 3*l - 6*l. Suppose 3*c + l = c - n, -5*n - 5 = c. Suppose -2*q = 3*q + 3*f, c = 5*q + 4*f + 5. Solve 4*i - 4*u = -6*u - 4, -3*i = 4*u + q for i. -1 Suppose -2*u = z - 625, -2*u = 4*z - 311 - 299. Let t = -314 + u. Solve -3*d = h - 0*h + t, 0 = -5*d + 2*h - 20 for d. -2 Let g(o) = 16 + 60*o - 32*o - 53*o - 2*o**2. Let w be g(-13). Solve -w*k - 12 = -5*q, 0*k + 13 = 5*q - 2*k for q. 3 Let x be 2812/18 + 8/(-36). Suppose 4*d + 0*d - x = 0. Let c = d - 20. Solve 7*b - 2*b - 15 = -4*g, 4*g = -b + c for b. -1 Suppose -3*f - 2914 = 5*o, -2*f - 1168 = -0*o + 2*o. Let n = o - -585. Solve -d - 2*b + 6 = 0, -2*b + n = 4*d + 10 for d. -4 Let d = -4281 - -4285. Solve 0 = i + w + 6, -w = -i + 3*w + d for i. -4 Suppose -62 = -2*x + q, 4*x = -18*q + 10 + 34. Solve x = -4*m + 3*l, m + 189*l = 193*l - 17 for m. -5 Let t = -85 + 171. Let g(r) = -r**2 + 25*r - 24. Let v be g(19). Let i = v - t. Solve -3*d - 2*w - i = 4, d + w = -2 for d. -4 Suppose -10*g + 29 = -21. Let a(c) = -7*c**2 - 80*c - 8. Let f be a(-11). Solve 3*q - g*h = -q + f, 2*h = -4*q + 18 for q. 5 Let m be (0 - -22) + 2280/(-120). Solve 5*h - f = 23, 16*h - 14*h + m*f = -1 for h. 4 Let k = -5010 + 5025. Solve -3*r + 3*h = -3, k = -r - 5*h - 14 for r. -4 Let r = -55 + 83. Suppose 9*l + 129 = -87. Let i = l + r. Solve -4*a = 3*w + 26, i*w + 4*a = 3*a - 13 for w. -2 Suppose -3*i + s = -11, -6*s + s = 4*i - 40. Solve 4*x - i = -4*n - 13, 2*n = -8 for x. 2 Let y(k) = -k**3 + 80*k**2 - 296*k - 587. Let v be y(76). Let a = 5 + -3. Solve -w = a*w - 15, 2*u - 5*w = -v for u. 2 Let u = 63 - 58. Let f(z) = 5 - 9 - 2*z - 24*z**3 - 2*z**2 + z + 5. Let x be f(-1). Solve 0 = 4*y - u*s + s + x, 0 = -2*y + s - 8 for y. -2 Suppose -2*g + b = -6, 0 = -46*g + 49*g + 4*b - 31. Solve 4*j + 3*z + 1 = 0, 5*z - g = -0*z for j. -1 Let f = 34 + -29. Let a(d) = 38 - 19 - f*d - 26. Let x be a(-2). Solve 12 = 2*z - 4*v, -x*v = 1 + 11 for z. -2 Suppose 4*m + 154 = 2*y, -123 = 4*y - 4*m - 439. Let f = y - 79. Solve -2*a + 40 = -4*u + f*a, -u - 5*a + 20 = 0 for u. -5 Let z(c) = c**3 - 2*c**2 - 4*c + 8. Let n be z(3). Suppose 3*l - 2*a - 10 = 0, -5*a = -n*l + l + 25. Solve -5*g + 15 = -l*g - 5*p, p = 4*g for g. -1 Let p be -3*(-28)/12 + -3 + 2 + -1. Solve 3 = -3*a - 3*u, -30*a - p*u - 17 = -31*a for a. 2 Let b = -16 - -18. Suppose -b*p = 3*p + 20. Let o be (-4)/(-6) - p/(-6). Solve -s + 4*f - 8 = o, 4*s + 0*s + 2 = f for s. 0 Let j = -10904 + 10907. Solve 47*l - 45*l + j*q = -4, -6 = 3*l + 3*q for l. -2 Let g(i) = i**3 - i**2 - 7*i + 9. Let s be g(3). Suppose -s*m + 134 - 110 = 0. Let f be 352/77 - m/7. Solve 3*v + f*a = 10, 4*v - 8 = -a + 1 for v. 2 Let i be (0 + 0)/1 - (-2)/(-2). Let w be -82*i*(-4)/16*-2. Let l = w - 37. Solve -4*c - 4 = l*k, -4*k - 3 = -5*c + 10 for k. -2 Suppose u - 367 = -360. Solve 4*s - 3*x = 31, -2*s - x + u = 4 for s. 4 Let n(j) = -2*j**3 - 36*j**2 + 10*j + 185. Let r be n(-18). Suppose -4*y - 6 = -30. Solve 5*k + s + 7 = -y, -k - 4*s + r = 0 for k. -3 Let g be -4 - (-5 + ((-18)/6 - 0)). Suppose g = -n - 4*h, -h - 1 = -3*n + 8*n. Solve -2*t = 6*k - 2*k - 18, 3*k - 9 = n for t. 3 Suppose 0 = -4*b + 3*b - 5*v + 10, -3*b - 5*v = 20. Let t be 4 + ((-13)/b - 14/(-105)). Solve -5*i + 5*x - 6*x - 14 = 0, x - 16 = t*i for i. -3 Let u be (26 - 1007/38)*0. Let g be ((-6)/(-4))/(3/4). Suppose 3*x = g*x. Solve -4*y - 4*q - 16 = x, u*q - 16 = 5*y + 4*q for y. 0 Let w = -3841 - -3841. Let z be (-4)/(-10) + (-133)/(-5). Solve 5*f = -4*t - 0*t + z, w = -t + f for t. 3 Let v = -3147 - -3149. Solve 4*b = -i - i - 22, b - 2 = v*i for i. -3 Suppose 0 = 3*x + 6*x - 18. Suppose x*c + 2*a - 56 = a, 2*c - 3*a - 40 = 0. Solve -4*y = -5*g - 6, 0 = -4*g - 4*y + c - 2 for g. 2 Let x = 196 + -193. Solve 0 = -2*d - 2*v + 14, 20 = 5*d + 2*v - x for d. 3 Suppose -36*l + 18 = -30*l. Let b = -300 - -303. Let w be 9 + -4 + 3 + -3. Solve b*d + 1 = o, 11 = -w*o + l*d - 8 for o. -5 Let w be 6 + -9 + ((-120)/(-50))/(4/10). Solve -17*l - 9 = -w*y - 15*l, -2*l = -6 for y. 5 Let w be 14 + 2400/(-175) + (-11)/(385/10). Suppose -s = -2*s + 25. Solve 5*z + 5*i - s = w, -4*i = -3*z + 4*z - 17 for z. 1 Suppose -3*h = -4*k + 123, k + 6*h - 2 = h. Suppose 11*r - k = 17. Suppose 3*l + r*q - 3 = 11, -l + 4 = q. Solve -l*s + 2 = u - 5*u, -2*s + 2*u + 6 = 0 for s. 5 Suppose 8*q = 4*q + 96. Let p be q*(15/18)/(10/6). Solve -4*l + 4*f + 4 = 0, p = 4*f - 0*f for l. 4 Let t = 48 + -46. Suppose t*g + 6 = -0. Let p be (-6)/9*(6/(-2) + g). Solve 4*d - 2*d - p*z - 4 = 0, 0 = -5*d - 2*z - 14 for d. -2 Suppose -4*k - 3*t + 5*t = -20, -t + 20 = 3*k. Let a be 0/(((-2)/(-6))/(k/36)). Let h = 4 + -1. Solve a = -j + 2*g - 4*g - 4, -h*j + 2 = -g for j. 0 Let k be -4*(-6)/9*87/58. Solve -k*s - 20 = 0, -7*h + 5 = -3*h + 3*s for h. 5 Let m be (-14 - -1)*6*(-3)/(-6). Let l be (52/m)/(1/(-12)). Solve -3*c = 2*f + l, 7*c - 3*c + 16 = 0 for f. -2 Suppose -3*h + k - 10 - 38 = 0, h + 2*k = -9. Let n be ((-3)/h)/((-2)/(-70)). Suppose -n*g = -12*g + 15. Solve 2*a + 7 = g*i, 3*i + a - 3 = 4*a for i. 5 Suppose -4*s + 8 = -2*s. Let a be 17/(391/(-138)) - 20/(-2). Solve a*k + 0*k = s, -5*k - 15 = -5*w for w. 4 Let c(x) = -21*x + 420. Let q be c(20). Solve 2*v - 6 = q, -5*t + 14 = -t + 2*v for t. 2 Let w = -19 + -2. Let l(d) be the third derivative of d**5/30 + 41*d**4/24 - 8*d**3/3 - 31*d**2. Let b be l(w). Solve b*g = q, -g + 0*g + 4*q = 19 for g. 1 Suppose 195 = -5*m - 8*m. Let l be 1 + (-6 - (7 + m)). Solve 2*y + l*w = -14, -2*w + 15 = -3*y - 5*w for y. -1 Let w(v) = v**2 + 46*v + 227. Let u be w(-42). Suppose -31 = 7*g - u. Solve 0*i + 2*y + 20 = 2*i, 2*i + g*y + 10 = 0 for i. 5 Let r be -7*4/4*-1. Suppose -23 = -r*t + 54. Let k = 534 + -534. Solve -i + 7 = -5*d - t, k = 3*i + 5*d + 6 for i. 3 Let l = 103 - 101. Suppose -3*a - 6 = -l*z - 3, -9 = z - 5*a. Let f be z/((-30)/(-25)) - 3. Solve 3*y + 2 = 4*y, -c + f*y = 4 for c. 0 Let r(g) = g**3 - 9*g**2 - 21*g + 215. Let d be r(9). Solve -3 = 2*f - d*t + 27*t, 2*t - 3 = 5*f for f. -1 Suppose -1247 - 2 = -
{ "pile_set_name": "DM Mathematics" }
**7/210 - y**6/18 - 5*y**3/2 - 13*y. Let v(p) be the second derivative of z(p). Find the third derivative of v(d) wrt d. -24 Let y = 148 - 136. What is the second derivative of -5*b - y*b + 42*b**5 - b**2 + b**2 wrt b? 840*b**3 Let g = 15 + -13. Suppose -2*y + 2*b + 3 = 9, -2*y = -b + g. What is the derivative of 3*k**2 - 4 + 7*k**4 - 3*k**2 - y wrt k? 28*k**3 Let i(r) = 875*r**2 + 635*r + 11. Let n(x) = -175*x**2 - 127*x - 2. Let y(o) = 2*i(o) + 11*n(o). Find the second derivative of y(q) wrt q. -350 Let t = -11 + 4. Let n = t + 9. Find the third derivative of 5*b**2 + 5*b**4 - 5*b**2 + 4*b**n wrt b. 120*b Let t = -16 - -28. Suppose -1 = 2*x - x + q, 0 = -4*q - t. What is the third derivative of 3*s**3 + 3*s**x + 3*s**3 + 0*s**2 + 0*s**2 wrt s? 36 Let r(g) be the second derivative of 82*g**6/5 + g**5/20 - 307*g**2 - 2*g + 617. Find the first derivative of r(s) wrt s. 1968*s**3 + 3*s**2 Let h(j) be the second derivative of 0 - 1/3*j**3 + 0*j**5 - 4/15*j**6 + 0*j**4 + 0*j**2 - 4*j. What is the second derivative of h(s) wrt s? -96*s**2 Find the third derivative of -55*b**6 + 36*b + 194*b**6 + 17803*b**2 - 17807*b**2 wrt b. 16680*b**3 What is the second derivative of -827 + 827 + 346*h**3 - 117*h wrt h? 2076*h Let d(u) = -u**2 + 12*u - 1. Let l be d(10). Suppose -4*o + 12 = -h, 0 = -5*h + l + 1. Differentiate o*t**2 - 6 - 1 + 3*t**2 with respect to t. 14*t Let q be ((-8)/6)/((-10)/45). Find the second derivative of -q*r - 11*r**3 - r**3 + 11*r wrt r. -72*r Let d(p) be the second derivative of 23*p**4 + 143*p**2/2 - p + 5. Differentiate d(k) with respect to k. 552*k Suppose 143 = s + 2*h, 3*h - 155 = -4*s + 407. What is the third derivative of -59*x**4 - 14*x**2 + s*x**4 - 62*x**4 wrt x? 432*x What is the first derivative of 61*a**2 - 139 - 116*a**2 + 55*a**2 + 29*a**4 wrt a? 116*a**3 Let c(g) be the second derivative of -2*g**7/7 + g**6/10 + 113*g**4/12 - 2*g - 14. What is the third derivative of c(v) wrt v? -720*v**2 + 72*v Let g(q) = q + 5. Let v be g(-5). Suppose 0 = -2*y - v*y + 424. What is the first derivative of -2 + y*z**2 - 217*z**2 + 10 wrt z? -10*z Let g(h) be the third derivative of h**7/140 - h**4/12 + 2*h**3/3 - 7*h**2. Let n(o) be the first derivative of g(o). Differentiate n(w) with respect to w. 18*w**2 Find the second derivative of 16*y + 272*y**4 + 10*y - 100*y**4 - 10*y wrt y. 2064*y**2 Let m(f) = -14*f**3 + 3*f**2 + 3*f + 1. Let u be m(-1). What is the third derivative of -u*y**2 - 202*y**3 + 98*y**3 + 101*y**3 wrt y? -18 Let u(d) be the third derivative of -d**8/84 + 11*d**7/35 - 91*d**5/30 + d**2 + 299*d. Find the third derivative of u(w) wrt w. -240*w**2 + 1584*w Suppose 0 = -0*b + 5*b - 5*w - 110, 0 = -5*b + 3*w + 110. Find the second derivative of 16*v**5 + 88 + b*v - 88 wrt v. 320*v**3 Differentiate 2*b**4 + 36*b**4 + 28 + 10*b**4 + 2*b**4 wrt b. 200*b**3 Let t(u) = u. Let h = 242 + -241. Let w(x) = 3*x**2 - 4 + 4 + 5*x. Let d(l) = h*w(l) - 4*t(l). Find the second derivative of d(i) wrt i. 6 What is the first derivative of 19*j - 8 + 38*j - 99 + 174*j - j wrt j? 230 Let s(r) be the first derivative of -4*r**4 - 3 - 3 - 14*r + 17. Differentiate s(n) with respect to n. -48*n**2 Let a(w) = 6*w**3 + 3*w**2 + 94*w + 3. Let g(s) = -6*s**3 - 4*s**2 - 95*s - 4. Let y(r) = 4*a(r) + 3*g(r). Find the second derivative of y(q) wrt q. 36*q Let c be 4/(112/412) + (-4)/(-14). Find the second derivative of -d**2 - c*d + 6 - 5 - 1 wrt d. -2 Suppose -2*k = -65 + 61. What is the second derivative of -11*l + 6*l**2 + 8*l**2 + 6*l**2 - 17*l**k wrt l? 6 Let y(v) be the first derivative of 147*v**4/4 + 149*v**3/3 - 1. Find the third derivative of y(n) wrt n. 882 Let v(k) be the third derivative of 59*k**8/336 + 17*k**4/6 - 29*k**2 + 2*k. Find the second derivative of v(f) wrt f. 1180*f**3 Suppose 0 = -b - 0*b - 2*r + 10, 16 = 4*r. Suppose -b*x = 5*i + 3 - 13, -5*i + 10 = -4*x. What is the derivative of a**i + 10*a**2 + 111 - 106 wrt a? 22*a Let s(p) be the third derivative of p**8/56 + 49*p**4/24 + 128*p**2. Find the second derivative of s(t) wrt t. 120*t**3 Let p(n) = 2*n**2 - 8*n + 4. Let g(r) = -7 + 4 - 5*r**2 - 6 - 10*r + 26*r. Let y(d) = -4*g(d) - 9*p(d). Find the second derivative of y(x) wrt x. 4 Let u(a) be the third derivative of -71*a**5/60 - 19*a**4/24 + 32*a**2. Find the second derivative of u(x) wrt x. -142 Suppose -b - 3*b = -20. Suppose 0 = 26*r - 1 - 155. Differentiate -b*z + z - 6 - r*z + 3 with respect to z. -10 What is the third derivative of 61*u**2 + 44*u**2 + 14*u**2 - 31*u**6 wrt u? -3720*u**3 Let j(i) = -i**3 - 4*i**2 + 11*i - 2. Let g be j(-6). What is the derivative of 19*p**4 - 14 - 10*p**g - 18*p**4 wrt p? -36*p**3 Find the second derivative of 8 + 9563*h**3 - 9099*h**3 + 8*h + 10 wrt h. 2784*h What is the second derivative of 290*t + 12*t**4 + 1 - 1 + 0*t**3 + t**3 + 21*t**4 wrt t? 396*t**2 + 6*t Let d(x) = -56 + 25*x**3 + 3*x - 24 + 103. Let t(r) = -26*r**3 - 4*r - 22. Let y(v) = -4*d(v) - 3*t(v). Differentiate y(k) wrt k. -66*k**2 Let k(t) = -19*t**2 + 7*t + 196. Let n(i) = -7*i**2 + 2*i + 66. Let p(u) = -4*k(u) + 11*n(u). Find the first derivative of p(y) wrt y. -2*y - 6 Let b(w) be the first derivative of -32*w**3/3 - 6*w + 8. Let s(m) = -21*m**2 - 4. Let x(u) = 5*b(u) - 8*s(u). Find the first derivative of x(o) wrt o. 16*o Let m be (5/(-4))/(6/(-24)). Find the second derivative of 20*z - 6*z**2 + 25*z**2 + m*z**2 wrt z. 48 What is the second derivative of -145*p**2 + 180*p**2 - 20 + 247*p**2 - p wrt p? 564 Let f(t) = 21*t + 216. Let s be f(-10). Let c(q) be the second derivative of 0*q**3 + s*q + 7/2*q**2 + 0 - 1/12*q**4. Differentiate c(k) with respect to k. -2*k Let u(p) be the second derivative of -11*p**8/56 - p**4/6 + 45*p**2 - 102*p + 5. What is the third derivative of u(k) wrt k? -1320*k**3 Suppose 5*h = 2*w - 49 - 2, 6 = 2*w + 4*h. What is the second derivative of 12*n**4 + 11*n**4 - 23*n**4 - w*n**5 - 7*n wrt n? -260*n**3 Let w(s) be the first derivative of 55*s**4/4 - s**3/3 + 98*s + 108. Differentiate w(b) wrt b. 165*b**2 - 2*b Suppose 0*a + 0*a + 2*a = 0. Let j(u) be the third derivative of a*u**3 - u**2 + 1/6*u**4 + 1/60*u**5 + 0 + 0*u. What is the second derivative of j(d) wrt d? 2 Let n(a) = -2*a**4 + 489*a**3 + 444. Let z(y) = -y**4 + 245*y**3 + 221. Let p(j) = -2*n(j) + 5*z(j). What is the first derivative of p(g) wrt g? -4*g**3 + 741*g**2 Let g be (3/(-1))/((-3)/(-6)*-3). What is the third derivative of -2*u**4 - 4*u**4 - 23*u**g + 9*u**2 - 8*u**4 wrt u? -336*u Find the second derivative of 776*r - 5*r**4 + 3*r**2 - 382*r - 439*r + 0*r**4 wrt r. -60*r**2 + 6 Let r(f) = -74*f**3 - 54. Let v(h) = -15*h**3 - 11. Let x be (2 + -1)*33*(-1)/3. Let d(k) = x*v(k) + 2*r(k). Find the first derivative of d(g) wrt g. 51*g**2 Let z(t) be the first derivative of -32*t**3 + 3*t**2/2 + 696*t + 141. Differentiate z(q) wrt q. -192*q + 3 Let r(z) = -3*z + 8. Let v be r(5). Let u be (72/14)/((-2)/v). Find the second derivative of 2*y + 7*y**3 + y + 4*y - u*y**3 wrt y. -66*y Let q = 36 + -29. Find the first derivative of -3*n**4 + 3*n**4 - 2*n**4 + q*n**4 - 6 wrt n. 20*n**3 Let t(l) = l**2 - 5*l + 7. Let c be t(6). Find the third derivative of 10*y**6 + 9*y**2 - 22*y**6 + 26*y**6 - c*y**2 wrt y. 1680*y**3 Let z(p) be the third derivative of -313*p**7/210 + p**5/30 + 153*p**3/2 + 369*p**2. Find the first derivative of z(g) wrt g. -1252*g**3 + 4*g Let x = 36 - 31. What is the third derivative of 10*f**5 - 6*f**x - 17*f**2 - 11*f**5 wrt f? -420*f**2 Let n(u) be the first derivative of -2*u**5/5 + 15*u**4/2 - 49*u**2 + 194. Find the second derivative of n(g) wrt g. -24*g**2 + 180*g Let q(t) = t**3 + 2*t**2 - 2*t + 6. Let u(i) = i**2 - 4*i. Let d be u(3). Let o be q(d). Find the third derivative of 58*m**2 - 3*m**3 - 3*m**o - 53*m**2 wrt m. -36 What is the third derivative of -123*t**4 - t**3 - 673*t**2 + 82*t**2 - 28*t**2 wrt t? -2952*t - 6 Let s(h) = h**3 - 12*h**2 + 12*h - 9. Let d be s(11). What is the third derivative of 8*y**d - y**5 - 10*y**5 + 2*y**5 wrt y? -540*y**2 Let x(z) be the first derivative of 15 + 21/2*z**2 + 0*z - 20/3*z**3. Find the second derivative of x(p) wrt p. -40 Let t(m) = -5*m**3 - 25*m**2 - 2*m + 2. Let z(r) = 5*r**3 + 24*r**2 + 3*r - 3. Let i(k) = -6*t(k) - 4*z(k). What is the third
{ "pile_set_name": "DM Mathematics" }
when k(-36) is divided by 33. 30 Let a(k) = -k**3 - 73*k**2 + 140*k + 88. Calculate the remainder when a(-75) is divided by 215. 193 Let o(i) = -9*i + 1. Suppose 162 = 5*n + 57. Let h(k) = 4*k**2 - 71*k + 21. What is the remainder when h(n) is divided by o(-4)? 35 Suppose 54*g = 227 + 43. Suppose -1 = 5*h - 16. Suppose 20 - g = h*p. What is the remainder when 7 is divided by p? 2 Let i(n) = -45*n - 82. Let u be (-27)/((-1080)/(-224)) + (-6)/(-10). Calculate the remainder when i(u) is divided by (3/4)/(2/48). 17 Let f = -658 - -660. Let g(i) = 19*i**2 - 3*i + 9. What is the remainder when g(f) is divided by 28? 23 Let i = 344 + -283. Suppose i = 2*f + g, 5*f + 2*g - 122 = 31. What is the remainder when 56 is divided by f? 25 Suppose 3 = -4*r - 4*f + 95, -r + 5*f = -23. Let m(j) = -j**2 - 98*j - 16. Calculate the remainder when m(-11) is divided by r. 21 Let n be (-17 - -14)*((-12)/(-9) - 2). Calculate the remainder when 5 - 2/n - (-9 + -11) is divided by -3 + 3 - 14*-1. 10 Suppose 0 = -5*m - 5, -5*m + 563 = 4*q - 512. Suppose 0 = -5*z + 2*p - 7*p + q, 258 = 5*z + p. What is the remainder when z is divided by 4? 3 Let n = 1649 + -1630. Calculate the remainder when 1157 is divided by n. 17 Let l(f) = 7*f - 314. Let w be l(46). Suppose -4*p + 2*i = -12 - w, 2*p + 5*i = 10. What is the remainder when p is divided by 3? 2 Let c(q) = -6*q**2 - 2*q + 2. Let p be c(-2). Let z(j) = -47*j + 146. Calculate the remainder when (49/14)/((-1)/p) is divided by z(3). 3 Let g(w) = 55 - 13 - 30 - 19 - 39*w - 22. Calculate the remainder when g(-5) is divided by 12. 10 Calculate the remainder when 95 is divided by 2520/80*(5 + -3). 32 Let k(y) = -44*y - 19. Let s be k(18). Let p = -482 - s. Let h = p - 78. Calculate the remainder when h is divided by 42. 41 Let m(g) = -g**2 + 3*g + 2. Let y be m(3). Let f(o) be the second derivative of 19*o**3/6 - 2*o**2 + 559*o. What is the remainder when f(y) is divided by 12? 10 What is the remainder when 320 - 940/282*(-18)/(-5) is divided by 27? 11 Suppose 47*v + 3*v = -135*v + 438265. What is the remainder when v is divided by 787? 8 Let l(u) = u**2 - 7*u - 31. Let j be l(13). Let y = j + 201. What is the remainder when y is divided by 21? 17 Suppose 789 = 3*l - 0*l. Suppose -4*t + 534 = 5*b - 327, -5*b + t + 866 = 0. What is the remainder when b is divided by l/6 - (8 + 294/(-36))? 41 Let c(a) = 4*a**2 + 2*a - 2. Let v(b) = 4*b - 18. Let i be v(5). Calculate the remainder when ((-2)/12*i)/(7/(-357)) is divided by c(-2). 7 Let x(z) = z**2 - 75*z - 1204. Calculate the remainder when 411 is divided by x(89). 33 Suppose 7*x + 376 = 9077. Suppose 192*k - 181*k = x. Calculate the remainder when k is divided by 17. 11 Suppose -72 = r + 137. Let h = r - -235. Calculate the remainder when 49 is divided by h. 23 Calculate the remainder when 308 is divided by (-9888)/(-64) + (-3)/((-18)/(-21)). 6 Let q(y) = 22*y**2 + 38*y - 188. What is the remainder when q(6) is divided by 60? 52 Let v(z) = z**3 - 3*z**2 - 15*z - 10. Let b be v(6). Suppose -4*s = -0*s - p - 57, -s = p - b. Calculate the remainder when 17 is divided by s. 4 Let a(u) = 5*u**2 - 155*u + 366. Suppose 5*h - 58 + 8 = 0. What is the remainder when a(29) is divided by h? 6 Calculate the remainder when 1722 is divided by (-20)/((-400)/30)*12. 12 Let l = 18529 - 18156. Calculate the remainder when 1120 is divided by l. 1 Let z = -4 - -6. Let l(q) = 33*q**2 + 340*q - 1077. What is the remainder when l(-13) is divided by z? 0 Calculate the remainder when 574 is divided by 318/16 - 3/28*406/(-348). 14 Suppose -3*r - 5*l + 2956 = 0, -r + 11*l + 982 = 12*l. What is the remainder when r is divided by 38? 27 Suppose 3*y - 2*y - 17 = 0. Suppose 3606 - 39 + 1988 + 3166 = 153*n. Calculate the remainder when n is divided by y. 6 Suppose -12*y + 1737 = 1665. Calculate the remainder when 1948 is divided by y. 4 Let i = 759 - 598. What is the remainder when 1634 is divided by i/(-28)*-10*2 - 6? 108 Suppose -2*g + 0*g = -3*z - 369, -g = 4*z - 223. Calculate the remainder when 795 is divided by g. 15 Let m(o) = -11*o - 8. Let d be m(-3). Suppose 3*b - 71 = 5*f, -2*f = -4*b - 0*f + 76. Calculate the remainder when b is divided by 3/((d/(-5))/(-15)). 8 Suppose 3*r + 6038 = 6059. What is the remainder when 977 is divided by r? 4 Suppose 35 - 293 = -c + 3*z, -276 = -c - 3*z. Calculate the remainder when c is divided by 12. 3 Let v(g) = 15*g**2 - 143*g + 1117. Calculate the remainder when v(7) is divided by 107. 102 Suppose 0 = 2*k + 6*r - 98, -12*k - 3*r = -14*k + 125. What is the remainder when 330 is divided by k? 40 Suppose 0 = -2*v - 6*y + 5*y + 380, v = y + 187. What is the remainder when v is divided by ((-4131)/(-204))/(-81) - (1 - (-197)/(-4))? 45 Let l = -204 + 208. Let x(b) = -5*b**2 + 15*b. Let a(o) = 3*o**2 - 8*o. Let u(k) = 7*a(k) + 4*x(k). What is the remainder when u(3) is divided by l? 1 Let v(j) = 43*j + 164. Let s be v(-4). Let q(h) = -16*h + 11 + 6*h + 22. Calculate the remainder when q(s) is divided by 29. 26 Let q be (4 + 4 - 21)*(9 + 2). Let k = 96 - q. What is the remainder when k is divided by 10? 9 Let a = 10 - 11. Let i(c) = -75*c**3 + c**2 + 2*c + 1. Calculate the remainder when i(a) is divided by (-218)/(-8) - ((-25)/4)/(-5). 23 Suppose 3*v = 96632 - 96212. What is the remainder when 199 is divided by v? 59 Let c(i) = -i**3 - 26*i**2 - 44*i - 19. Let h be c(-24). Calculate the remainder when h/2*18/(-15) is divided by 24. 21 Suppose -48 + 32 = -4*c. Let m be -14 + (4 - 4)/c. What is the remainder when 206 is divided by m/21 - (-118)/6? 16 Suppose 7*k - 3*q = -6*q + 19224, q = -4. Calculate the remainder when k is divided by 915. 3 Suppose 6 = 2*x + 4, x = -5*s + 216. What is the remainder when 1074 is divided by s? 42 Let h = 358 - 356. Suppose -40 = -k + 4*b, -h*k + b + 94 = -7. What is the remainder when 311 is divided by k? 51 Let p(m) = 2*m**2 + 4*m + 1. Let l be -2*1*(9 - 52/8). Calculate the remainder when p(-4) is divided by 15*l/150*-6. 2 Let x = -297 + 557. Suppose -2*j = -5*w - 125, 5*j - x = -21*w + 16*w. Calculate the remainder when 211 is divided by j. 46 Let x be (-2634)/54 - ((-21)/27 + 1). Let q = x + 94. Calculate the remainder when q is divided by 12. 9 Let k = -3790 + 4245. Calculate the remainder when k is divided by 25 - 10 - (-2)/1. 13 Let p = 6 + -5. Suppose -t - 2*t + 2*i = -31, -5*i = t - 16. Calculate the remainder when t is divided by p. 0 Suppose -m = 14*m + 750. Let a = m + -5. Let i = a - -72. Calculate the remainder when 63 is divided by i. 12 Let j(c) = -2*c**3 - 45*c**2 + 68*c + 237. Calculate the remainder when j(-25) is divided by 154. 122 Suppose -335 = -3*j - 2*j. Let o = 105 - j. Suppose -28 + 20 = 8*s - 88. Calculate the remainder when o is divided by s. 8 Suppose -q = -9 - 1. Suppose -q = -2*j + 5*d + 301, -3*j = -5*d - 479. What is the remainder when j is divided by 86? 82 Suppose 4*d = 5*d - k - 38, 0 = 2*d + 3*k - 86. Calculate the remainder when ((-1)/3)/(3 + (-5368)/1788) is divided by ((-45)/12)/((-5)/d). 29 Let x(g) = -g**3 - 33*g**2 + g + 57. Let z be x(-33). Suppose 2*r + z*c - 62 = 26*c, 5*c + 87 = 3*r. Calculate the remainder when 132 is divided by r. 30 Let p(s) be the third derivative of -s**6/120 - 11*s**5/60 - 17*s**4/24 + 9*s**3/2 + 78*s**2 - 3. Calculate the remainder when p(-10) is divided by 27. 16 Suppose 0 = 2*m - 10, 3*r - 5*m - 4 = -4*m. Suppose 18*c + r*c - 6258 = 0. What is the remainder when c is divided by 43? 40 Let g(j) = j**3 + 27*j**2 - 194*j + 14. What is the remainder when 514 is divided by g(6)? 20 Let d(r) = 2*r**3 + 18*r**2 - 25*r - 281. What is the remainder when 87 is divided by d(-8)? 40 Suppose -208 = 1568*v - 1576*v. Suppose 0 = -4*q - 5 + 17. Suppose -292 = -4*u + 2*g, -3*u - q*g + 0*g = -237. What is the remainder when u is divided by v? 23 Let m(h) = -3*h**2 - 161*h + 439. What is the remainder when m(-53) is divided by 186? 173 Let h(n) be the first derivative of 32*n**3/3 + 8*n**2 + 6*n + 3. Calculate the remainder when h(-4) is divided by 13. 12 Let o(t) = -t**2 - 4*t + 7. Let b be o(-5). Suppose -4*j - q = -b*q - 314, -2*q = -4*j + 312. Calculate the remainder when j is divided by (246/(-18))/((-1)/3). 38 What is the remainder when ((-19)/9)/(22/(-8118)) is divided by 15? 14 Let
{ "pile_set_name": "DM Mathematics" }
omes next: 11045, 10598, 10151? 9704 What is the next term in 144728, 289088, 433448, 577808, 722168, 866528? 1010888 What comes next: 27250, 27059, 26868, 26677, 26486? 26295 What comes next: -46, 1, 100, 251, 454? 709 What is next in -17668, -64830, -143434, -253486, -394992, -567958, -772390, -1008294? -1275676 What is the next term in 105749, 211707, 317663, 423617? 529569 What is the next term in 5899553, 11799037, 17698521, 23598005, 29497489? 35396973 What comes next: -56, -500, -1632, -3746, -7136, -12096, -18920? -27902 What is next in 873, 6751, 22679, 53679, 104773? 180983 What is the next term in -69358, -69503, -69744, -70081, -70514, -71043, -71668? -72389 What comes next: 14039, 26297, 36775, 45473, 52391, 57529, 60887? 62465 What is next in -2166316, -2166374, -2166432, -2166490? -2166548 What comes next: 1449, 9433, 30505, 71211, 138097, 237709, 376593, 561295? 798361 What comes next: 1528550, 1528551, 1528550, 1528547, 1528542, 1528535? 1528526 What is the next term in 1226, 2591, 4118, 5855, 7850, 10151, 12806, 15863? 19370 What is next in -997841, -1995676, -2993501, -3991316, -4989121, -5986916, -6984701? -7982476 What is next in 243165, 486333, 729501, 972669? 1215837 What comes next: -2052, -4002, -5968, -7950, -9948, -11962, -13992? -16038 What comes next: 6556, 23709, 52296, 92317? 143772 What is the next term in 13867, 56006, 126225, 224512, 350855? 505242 What comes next: -16770001, -16769996, -16769989, -16769980, -16769969, -16769956? -16769941 What is next in -80575, -644616, -2175561, -5156854, -10071939, -17404260, -27637261? -41254386 What is the next term in -917, -6207, -15015, -27335, -43161, -62487, -85307? -111615 What is next in -1123337604, -2246675206, -3370012808, -4493350410, -5616688012, -6740025614? -7863363216 What is the next term in -21381, -7392, 6597, 20586? 34575 What comes next: 32479, 32373, 32233, 32053, 31827, 31549, 31213, 30813? 30343 What comes next: 10354, 10075, 9796, 9517, 9238, 8959? 8680 What comes next: 2561, 3069, 3917, 5105? 6633 What is next in 1666362, 1666357, 1666350, 1666341? 1666330 What comes next: -3965, -3488, -2697, -1586, -149, 1620? 3727 What is the next term in 6686, 46420, 154264, 364274, 710506? 1227016 What is next in -42547, -84751, -126955, -169159? -211363 What is next in -1724388, -3448761, -5173134, -6897507, -8621880? -10346253 What comes next: 508617, 1017226, 1525829, 2034426, 2543017, 3051602? 3560181 What comes next: 31833, 68114, 104391, 140664, 176933, 213198, 249459? 285716 What is next in 21249438, 42498869, 63748300, 84997731? 106247162 What comes next: -20384187, -40768373, -61152559, -81536745, -101920931, -122305117? -142689303 What comes next: -84, 92, 400, 840, 1412? 2116 What is the next term in 5207, 41394, 139619, 330902, 646263, 1116722, 1773299, 2647014? 3768887 What comes next: 1149, 3060, 5613, 8808, 12645, 17124, 22245? 28008 What comes next: -11839, -17472, -23117, -28780, -34467? -40184 What comes next: -37958364, -151833455, -341625276, -607333827, -948959108, -1366501119? -1859959860 What is the next term in -4788, -4627, -4168, -3261, -1756, 497, 3648? 7847 What comes next: 26808147, 53616297, 80424449, 107232603, 134040759, 160848917, 187657077? 214465239 What is next in 838495, 838500, 838505, 838510, 838515? 838520 What is next in 1348727, 1348819, 1348911, 1349003, 1349095? 1349187 What comes next: -47686403, -47686400, -47686397, -47686394, -47686391, -47686388? -47686385 What comes next: 45381, 45320, 45241, 45144, 45029? 44896 What comes next: 217, 336, 1371, 4006, 8925? 16812 What is next in -136749, -273525, -410301? -547077 What comes next: 95853688, 191707372, 287561056, 383414740, 479268424? 575122108 What comes next: -11819, -94516, -318971, -756062, -1476667, -2551664, -4051931, -6048346? -8611787 What is the next term in -28854003, -57708006, -86562009, -115416012, -144270015, -173124018? -201978021 What comes next: -5157974, -5158162, -5158360, -5158574, -5158810? -5159074 What is next in -448713, -448684, -448605, -448452, -448201, -447828, -447309, -446620? -445737 What comes next: -82778, -165400, -248022, -330644, -413266, -495888? -578510 What comes next: 5779, -6725, -19231, -31739, -44249, -56761, -69275? -81791 What is the next term in -755516, -1511034, -2266550, -3022064? -3777576 What is the next term in -59425, -118763, -178055, -237301? -296501 What is the next term in -203170, -405093, -607016? -808939 What is the next term in 261299, 523128, 784957, 1046786, 1308615? 1570444 What is the next term in -5777, -5911, -6157, -6515, -6985, -7567? -8261 What is the next term in 3508, 15266, 34868, 62320, 97628, 140798, 191836, 250748? 317540 What is next in 245707, 491196, 736685, 982174, 1227663? 1473152 What is next in 608, -2757, -6122, -9487, -12852? -16217 What comes next: -15057, -60843, -137153, -243987? -381345 What is the next term in 8725, 16676, 23843, 30226? 35825 What is next in 13483, 26921, 40355, 53785, 67211, 80633, 94051? 107465 What comes next: -46, -179, -340, -529? -746 What is the next term in -2268, -3286, -4304? -5322 What is next in -8050, -16992, -25892, -34750, -43566, -52340, -61072? -69762 What is next in 35550, 35397, 35242, 35085, 34926? 34765 What is the next term in 403016, 402982, 402878, 402668, 402316? 401786 What comes next: -5942, -7599, -9256, -10913, -12570? -14227 What is the next term in -71681, -71681, -71691, -71717, -71765, -71841, -71951? -72101 What comes next: -1150422, -2300848, -3451274, -4601700, -5752126? -6902552 What is the next term in 3205900, 6411806, 9617704, 12823594? 16029476 What is the next term in 1570791, 3141573, 4712353, 6283131, 7853907, 9424681, 10995453? 12566223 What is next in -8314838, -8314834, -8314830, -8314826, -8314822, -8314818? -8314814 What is next in -1844581, -1844583, -1844585, -1844587, -1844589, -1844591? -1844593 What is the next term in -129736, -518843, -1167338, -2075239, -3242564, -4669331, -6355558? -8301263 What comes next: -1744725, -1744786, -1744847? -1744908 What is the next term in 13410635, 26821281, 40231927? 53642573 What is next in 7563662, 15127312, 22690962, 30254612? 37818262 What is the next term in 114671, 917386, 3096187, 7339118, 14334223, 24769546, 39333131, 58713022? 83597263 What comes next: -6600, -26745, -60352, -107421, -167952? -241945 What is the next term in -520, -4143, -13880, -32737, -63720, -109835? -174088 What comes next: 3640749, 7281500, 10922251? 14563002 What comes next: -15215, -27884, -40553, -53222, -65891? -78560 What is the next term in 82629, 165181, 247659, 330063, 412393? 494649 What is the next term in -2217264, -2217241, -2217204, -2217147, -2217064, -2216949? -2216796 What is next in -282, -1273, -3204, -6303, -10798, -16917, -24888? -34939 What is the next term in -8429, -16727, -24955, -33077, -41057? -48859 What is the next term in -21450104, -42900205, -64350306, -85800407? -107250508 What is next in -25651, -25765, -26003, -26431, -27115, -28121, -29515? -31363 What is next in -358009, -716063, -1074113, -1432159? -1790201 What is next in -58447, -106321, -154195, -202069, -249943? -297817 What comes next: 36, -595, -1904, -3891, -6556, -9899, -13920? -18619 What comes next: -1219689, -2439250, -3658811? -4878372 What is next in 5488, 9813, 12978, 14977, 15804? 15453 What comes next: -18410929, -36821858, -55232787? -73643716 What comes next: 472865, 945721, 1418577, 1891433, 2364289, 2837145? 3310001 What comes next: 109862, 440459, 991448, 1762823, 2754578? 3966707 What is the next term in -2754, -2168, -1192, 174, 1930, 4076, 6612? 9538 What is next in 9968, 19563, 29134, 38669, 48156? 57583 What is next in -5837091, -5837254, -5837417, -5837580, -5837743? -5837906 What comes next: 255163, 255083, 255003, 254923, 254843? 254763 What comes next: -1267, -1109, -853, -499, -47? 503 What is the next term in 561763, 561776, 561797, 561826, 561863, 561908? 561961 What is next in -8901, -17748, -26571, -35364, -44121? -52836 What is the next term in 55355, 221317, 497915, 885149, 1383019, 1991525, 2710667? 3540445 What is the next term in -262991, -525960, -788929? -1051898 What is next in 5102, 11612, 18122, 24632, 31142? 37652 What is next in 1096, 6718, 16090, 29
{ "pile_set_name": "DM Mathematics" }
eters? 79606710000 What is 81/4 of a year in months? 243 What is 0.4550025l in millilitres? 455.0025 How many meters are there in nineteen quarters of a kilometer? 4750 What is 985524.9km in nanometers? 985524900000000000 What is 3/50 of a litre in millilitres? 60 How many microseconds are there in five eighths of a millisecond? 625 What is 1431.286ml in litres? 1.431286 What is seven thirds of a millennium in months? 28000 What is 57/2 of a hour in minutes? 1710 What is 7/2 of a millennium in months? 42000 What is 27613.58 millennia in years? 27613580 What is 11/4 of a minute in seconds? 165 Convert 205322.2 weeks to minutes. 2069647776 What is fourty-two fifths of a centimeter in micrometers? 84000 How many microseconds are there in three fifths of a millisecond? 600 How many micrometers are there in seven halves of a centimeter? 35000 Convert 76.25398um to nanometers. 76253.98 What is 32/5 of a centimeter in millimeters? 64 What is eighteen fifths of a kilometer in meters? 3600 What is 1/4 of a tonne in kilograms? 250 What is 17/2 of a year in months? 102 How many litres are there in 397.9817 millilitres? 0.3979817 How many kilometers are there in 0.5417094mm? 0.0000005417094 Convert 2.763242ns to microseconds. 0.002763242 How many meters are there in 26348.9cm? 263.489 How many kilograms are there in seven quarters of a tonne? 1750 What is 433157.1 millilitres in litres? 433.1571 What is 156.9053nm in millimeters? 0.0001569053 How many millilitres are there in 815399.2 litres? 815399200 What is 98369.6t in milligrams? 98369600000000 What is four fifteenths of a decade in months? 32 Convert 7976.27nm to meters. 0.00000797627 How many grams are there in 0.2984042t? 298404.2 How many micrometers are there in 31/5 of a millimeter? 6200 How many minutes are there in twenty-eight thirds of a hour? 560 What is 284816.3mm in micrometers? 284816300 What is 784.7633ml in litres? 0.7847633 How many nanometers are there in one fifth of a micrometer? 200 How many litres are there in 1.011919ml? 0.001011919 What is 3/25 of a kilometer in centimeters? 12000 Convert 0.0894207 millilitres to litres. 0.0000894207 How many meters are there in fourty-eight fifths of a kilometer? 9600 Convert 40722.1 millimeters to nanometers. 40722100000 How many weeks are there in 4156790.4 milliseconds? 0.006873 What is nineteen quarters of a meter in millimeters? 4750 Convert 88.50341 kilograms to nanograms. 88503410000000 What is 1.202599 grams in nanograms? 1202599000 Convert 73047.94ug to tonnes. 0.00000007304794 What is 45/4 of a litre in millilitres? 11250 How many micrograms are there in 6.486891g? 6486891 Convert 0.561753 millennia to months. 6741.036 How many milliseconds are there in one sixth of a minute? 10000 What is three eighths of a kilometer in centimeters? 37500 What is 73/4 of a week in hours? 3066 What is 93.95163t in grams? 93951630 How many hours are there in five eighths of a week? 105 Convert 9.445864 days to nanoseconds. 816122649600000 How many centuries are there in 24664.87 decades? 2466.487 How many grams are there in 2/125 of a kilogram? 16 What is 2/63 of a week in minutes? 320 What is five quarters of a century in years? 125 What is twenty-five sevenths of a week in minutes? 36000 What is 906692.6 micrograms in grams? 0.9066926 What is seven thirds of a hour in minutes? 140 What is one tenth of a litre in millilitres? 100 What is 23.17235 grams in micrograms? 23172350 What is 22/9 of a week in minutes? 24640 What is 688543.9l in millilitres? 688543900 What is six fifths of a decade in years? 12 Convert 93.09511l to millilitres. 93095.11 Convert 3912.17g to micrograms. 3912170000 How many decades are there in 2.3513013 months? 0.0195941775 What is 9/10 of a kilometer in meters? 900 How many years are there in 0.2723152 decades? 2.723152 Convert 82.1595 seconds to nanoseconds. 82159500000 What is 3/5 of a micrometer in nanometers? 600 What is 0.0066339 millennia in years? 6.6339 How many millilitres are there in 48/5 of a litre? 9600 How many seconds are there in 21/2 of a minute? 630 How many millilitres are there in 4.292108 litres? 4292.108 What is 1463.875 millennia in decades? 146387.5 How many micrograms are there in 3/25 of a milligram? 120 What is 3/8 of a gram in milligrams? 375 What is one sixth of a decade in months? 20 Convert 0.0589402 litres to millilitres. 58.9402 How many millennia are there in 4.747019 decades? 0.04747019 How many centuries are there in 737.6532 decades? 73.76532 How many kilograms are there in 753.6379 grams? 0.7536379 How many grams are there in one fifth of a kilogram? 200 What is 390.1548 millimeters in kilometers? 0.0003901548 How many nanograms are there in 24.73942g? 24739420000 What is three eighths of a centimeter in micrometers? 3750 How many millilitres are there in 49/4 of a litre? 12250 How many months are there in seventy-four fifths of a century? 17760 How many years are there in 32/5 of a millennium? 6400 How many millilitres are there in 5/4 of a litre? 1250 How many months are there in three tenths of a century? 360 Convert 0.4232442 millilitres to litres. 0.0004232442 How many micrograms are there in 5.176403g? 5176403 What is 3/25 of a microgram in nanograms? 120 Convert 58749.78 weeks to minutes. 592197782.4 What is nineteen quarters of a meter in millimeters? 4750 How many minutes are there in 21/2 of a hour? 630 Convert 38571.84um to meters. 0.03857184 How many seconds are there in nine sixteenths of a day? 48600 What is 485.9291g in tonnes? 0.0004859291 What is 7/4 of a litre in millilitres? 1750 What is 11/2 of a centimeter in micrometers? 55000 What is 73.4893 decades in months? 8818.716 Convert 2965.357l to millilitres. 2965357 What is twenty-one eighths of a day in minutes? 3780 Convert 19.52694 grams to nanograms. 19526940000 How many millennia are there in 4950.214 decades? 49.50214 How many millilitres are there in 43/4 of a litre? 10750 How many seconds are there in two ninths of a hour? 800 How many seconds are there in 11/4 of a hour? 9900 Convert 43451.45 kilometers to micrometers. 43451450000000 How many microseconds are there in seven halves of a millisecond? 3500 Convert 8829.459 nanometers to millimeters. 0.008829459 What is 48/5 of a litre in millilitres? 9600 Convert 581671.1 millennia to centuries. 5816711 How many kilograms are there in 248.5397ug? 0.0000002485397 How many microseconds are there in 26.38317 seconds? 26383170 What is 3/5 of a litre in millilitres? 600 What is 20109988.8 microseconds in days? 0.0002327545 How many millilitres are there in 1/5 of a litre? 200 How many months are there in 7/8 of a millennium? 10500 Convert 5.663002g to tonnes. 0.000005663002 What is nine sixteenths of a millennium in months? 6750 What is fourty-three quarters of a litre in millilitres? 10750 How many millimeters are there in 5/4 of a meter? 1250 What is thirty-one fifths of a centimeter in micrometers? 62000 How many micrometers are there in 2.643897mm? 2643.897 How many litres are there in 806197.8 millilitres? 806.1978 What is 3106.602ns in seconds? 0.000003106602 How many micrometers are there in 0.687136mm? 687.136 How many micrograms are there in 6/5 of a milligram? 1200 What is 4/21 of a week in hours? 32 How many tonnes are there in 9.92941 micrograms? 0.00000000000992941 How many days are there in twenty-six sevenths of a week? 26 What is 3/5 of a litre in millilitres? 600 What is 8/25 of a centimeter in micrometers? 3200 How many micrometers are there in 74747.13cm? 747471300 What is twenty-one halves of a microsecond in nanoseconds? 10500 What is 3/10 of a centimeter in millimeters? 3 How many millilitres are there in one quarter of a litre? 250 What is 7/2 of a milligram in micrograms? 3500 Convert 6838.805kg to nanograms. 6838805000000000 How many grams are there in eighty-one quarters of a kilogram? 20250 How many litres are there in 0.0751175ml? 0.0000751175 How many milligrams are there in 6/5 of a gram? 1200 How many millilitres are there in seven quarters of a litre? 1750 What is 4.09881ml in litres? 0.00409881 What is 538.2911 millennia in decades? 53829.11 How many milligrams are there in 11/8 of a gram? 1375 Convert 0.968746ms to seconds. 0.0009687
{ "pile_set_name": "DM Mathematics" }
(q/q**0*q)/(q*q**4))/(q**6/q**3)) assuming q is positive. q**(-11/14) Simplify ((b**(-2/11))**(5/8)/(b/(b*b**15)*b**(-8)*b))**27 assuming b is positive. b**(26001/44) Simplify ((s**(7/2)*(s*s**(4/5))/s)/((s*s**6*s)/(s**(1/8)/s*s)))/((s/s**(-1/5)*s)**(4/7))**(8/3) assuming s is positive. s**(-5819/840) Simplify (y*y**(-4)*y**(-2/3)/y*y**(-5)*y**(-1/6))/(((y*y**(1/3))/((y/((y*(y**(-7)*y)/y*y)/y))/y))/(y**(8/5)*y/(y/(y/y**0)))) assuming y is positive. y**(-77/30) Simplify (n*n**(3/7))/n**2*n**(-7)*n*n/(n*n**(-2/7))*((n*(n/(n/((n/n**(1/10))/n))*n*n*n*n)/n)/n*n**11*n)**(-3) assuming n is positive. n**(-3569/70) Simplify (j**7/j*j)/(j*j/j**3)*j**(-2/7)/(j/j**(-6))*(j**1*j/j**(-1/2))/(((j/(j/(j*(j**(-1)*j*j)/j*j*j*j)))/j)/j)**(-21) assuming j is positive. j**(633/14) Simplify (l**(-9/8)/l**(-38))/(l**(-3/11)/l**28) assuming l is positive. l**(5733/88) Simplify ((g**6/g**(-2/13)*(g*g/((g**(1/4)/g*g)/g))/g**(2/15))**21)**(1/17) assuming g is positive. g**(47887/4420) Simplify ((z**(2/3))**(-1/15)/(z/(z**(-5)*z)*(z*(z/((z/(z/z**(-3)))/z*z))/z*z)/z))/((z**(1/4)*z**(-2/3)/z)/(z**(-1/4)/z)**46) assuming z is positive. z**(-11723/180) Simplify (z**(-1/3))**(-1/29)*z**0*z**(-2)*z**(1/8)/(z*z*z/z**(-6))*(z/z**(-2/5))/(z**(-5)*z) assuming z is positive. z**(-19013/3480) Simplify (((w**1*w*w)**(-11/2)*(w**(2/5))**15)**9)**(2/53) assuming w is positive. w**(-189/53) Simplify ((o**(-1/18)/o*(o*o/(o*(o/o**(-9/8))/o*o*o*o*o)*o)/o)**(-26))**(-21) assuming o is positive. o**(-33943/12) Simplify (z/(z/(z/(z*((z/(z/(z*z/z**35)))/z)/z))))**(-43)*((z*z**26)/z)**45 assuming z is positive. z**(-335) Simplify (((m/(m**16*m))/m**(17/2))/((m*m/(m*m/(m/(m/m**12))))/m*m**(-29)))**(4/17) assuming m is positive. m**(-26/17) Simplify (i**20/i**(1/3)*i*i**19/i*i**(-3/8))**(-8/7) assuming i is positive. i**(-919/21) Simplify (((w**(3/7)*(w*w**(-10))/w)**(-2/27))**(5/12))**(-43) assuming w is positive. w**(-14405/1134) Simplify (n**(-2/7)*n*n**(2/19))/(n*n*n/n**(-1))**(-25)*(n*n**(1/4)/n)**(-37)*(n**2)**(1/67) assuming n is positive. n**(3264969/35644) Simplify (q*q**(-6)*q)/q**(1/5)*((q/q**(2/7)*q)/q)**(2/9)*(q/(q/q**(-1/4)))**(-26)/(q*q*q/q**(-1))**(2/27) assuming q is positive. q**(4087/1890) Simplify (((p*(p/(p*p**(1/2)/p))/p)**(1/3)*(p**(-1))**(3/35))**(-1/5))**(-14) assuming p is positive. p**(17/75) Simplify (m/((m**12/m)/m)*m*m*m**(-4/13)*m)**(-6)/((m/(m/m**(2/3)))**(-6/11)*m/m**(-5)*m*(m/(m*m**(5/4)))/m) assuming m is positive. m**(19139/572) Simplify (((b**(1/13)/b)**47)**3)**(-5/7) assuming b is positive. b**(8460/91) Simplify (((r*r**(3/4)/r)/r)/r**37*(r*r**11*r)/(r**(-40)*r*r))**(1/9) assuming r is positive. r**(55/36) Simplify ((f**(20/9)/f)/(f*f**(-2)/f))/(f**(-19/6)/f*f**(-27)) assuming f is positive. f**(619/18) Simplify (n/((n**1/n)/n))**(-2/63)/(n/n**(1/3))**17*((n**(-1/2))**(-2/15))**(-48) assuming n is positive. n**(-4598/315) Simplify (((w*w*w**22)/(w**11/w))/(w**(2/43)/(w*(w/((w/w**(-3/2))/w)*w)/w*w*w)))**(-2/7) assuming w is positive. w**(-1415/301) Simplify (z*z*z/(z*z**(2/33)*z)*z*z*z**(-20)*z*(z*z**(-1/18)*z)/(z/(z*z/(z*(z**(2/37)/z)/z*z)*z)))**(5/2) assuming z is positive. z**(-445795/14652) Simplify (((i**(-1))**(-20)*(i**4/i)/(i/(i/(i**4/i))*i))**47)**9 assuming i is positive. i**8037 Simplify ((j**(-11)/j)**37/((j/(j*j*j**17*j*j))/(j**(9/10)*j*j)))**(2/105) assuming j is positive. j**(-4211/525) Simplify ((p*((p*p**1*p*p)/p)/p)**(-1/4))**(-15/8)*(p/p**(-5))/p*p**(-1/5)*p*(p**(1/4))**(-41) assuming p is positive. p**(-487/160) Simplify (a*a*((a*a**(-1/5))/a*a)/a*a*a*(a*a**(-2/17)/a*a)/a*a)**(-48)*((a/(a*a**(-2)*a))**(-17/4))**(-4) assuming a is positive. a**(-17659/85) Simplify b/(b*b/(b*b**(2/9)/b))*b**(1/8)*(b**(2/5))**(6/11)*(b/b**(-1/3)*b**(-6)*b)/(b**(-5)*b/(b**(-2)/b*b)) assuming b is positive. b**(-8321/3960) Simplify (f**(2/7)/(f*f**(2/3)*f))**(-39)*(f**(-3/4)/(f/((f/f**(4/5))/f)))/(f**(-6)/(f*f**(1/2))) assuming f is positive. f**(13693/140) Simplify ((((r/r**(10/3))/r)/(r*r**(2/9)))/(r**(10/11)*r*r/((r**(-1/17)/r)/r)))**(1/29) assuming r is positive. r**(-16028/48807) Simplify (d*((d/(((d*d/(d**(1/28)/d)*d*d)/d)/d))/d)/d*d**(-1/7))/((d*d**(1/23)*d)/d*d)**(30/13) assuming d is positive. d**(-65493/8372) Simplify (((((d*d**(-16)*d)/d)**(-22/7))**(-1/52))**(-3/23))**(-13) assuming d is positive. d**(-495/322) Simplify (z*z**(-1))**(-16)*(z*z**(-3)/z)/z**(-2)*z/z**(2/5)*z*z*z**0/z*(z/(z/z**(-2/9)*z))/z*z*z**(-1/2) assuming z is positive. z**(-101/90) Simplify ((m**(-7))**9/((m**(9/4)/m)/m)**23)**(-1/3) assuming m is positive. m**(275/12) Simplify (a**(1/7)*a*a*a**2*a**3*((a*(a**2/a)/a)/a)/a)/((a**3/a**1)/(a**(-4)*((a/((a/(a/(a/a**(2/13))))/a*a))/a)/a*a*a)) assuming a is positive. a**(27/91) Simplify ((z**(-9/2)*z)/(z/(z*z/z**13*z)))**(-1/10)/(z**(-1/4)*z**(-7)*z**3/z*z*z**5) assuming z is positive. z**(7/10) Simplify (z/(z/(z*z*z**(2/11)*z))*(z**(-1)*z)/z*(z*z**(-1/2)*z)/z*z**(1/9)/z*z)/((z*(z**(-2)/z)/z)**(-2/21))**30 assuming z is positive. z**(-8009/1386) Simplify ((o**1/o)**(-2/73)*((o*o*o**0)/o)**47)/((o**1)**(2/7))**(-13/7) assuming o is positive. o**(2329/49) Simplify (((m/(m*m**(-7)*m*m)*m)/m**(4/3))/((m**(2/15)*m)/m*m**(2/13)))/((m*m*m**0)**(-4/5)/(m**(-5)*(m*m/(m*m/(m*m/m**2))*m*m)/m)) assuming m is positive. m**(386/195) Simplify (((t/((t*t/(t*t*(t*t**0*t)/t*t))/t*t)*t)/t)/t**(-3)*(t/(t**(-2/9)/t))/(t/(t**3/t*t)))/((t**(-1))**(7/4)/(t**3*t*t**8)) assuming t is positive. t**(863/36) Simplify ((m/(m*m**1))**40)**24/((m**(-2/7))**(-13/4)*(m**(-1)*m*m)**(-4/5)) assuming m is positive. m**(-67209/70) Simplify (((z/(z/(z*z**0/z*z)*z))/z)**(-1/10))**(2/3)*(z*z**(-2/3))**(-3/29)*(z*z**(2/3))**(7/4) assuming z is positive. z**(5131/1740) Simplify (z**1*z*z**30*(z**(5/4))**(-9))**(-39) assuming z is positive. z**(-3237/4) Simplify (((w/w**12)/(w/(w**(-6)/w)))/(w**11/w**(2/13)))**25 assuming w is positive. w**(-9700/13) Simplify (((d**(-7/4)*d*d)/d*d*(d**35*d)/d)/(d**(-23/3)/(d/d**(-45))))**(12/5) assuming d is positive. d**(1067/5) Simplify (((x**(2/17)*x**(-15))**(1/3))**(-5))**(-10/3) assuming x is positive. x**(-12650/153) Simplify ((l**(3/5)*l*l**2)/((l/l**3)/l**(-6/13)))**(3/31) assuming l is positive. l**(1002/2015) Simplify (((m/(m/(m*(m*m*m*(m/(m**(-36)*m))/m)/m)))/m**15)/(m**(-2/11))**(-47))**(-2/85) assuming m is positive. m**(-318/935) Simplify (m/m**(1/4))/m**(2/15)*m**3/m**(-1/2)*((m/(m/m**0))**42)**(-33) assuming m is positive. m**(247/60) Simplify (n**(-3/2)*n**(-4/7))**(-28)/((n*n**(-2/11))**(-8/13)/(n**(-4)/n**(-2/5))) assuming n is positive. n**(39256/715) Simplify (g**1/g)**(5/4)/(g**(-1/2)*g)**(-34)*g/(g/g**(-2/5)*g)*(g**(-2/3)*g)/g*(g**(2/3))**11 assuming g is positive. g**(334/15) Simplify (((d**(6/5)*d)/d)**(-44)/((d**(-14)/d)/d*d/d**16*d))**(29/5) assuming d is positive. d**(-3306/25) Simplify (((s/(s/((s*s/(s*s*s**(-4)*s*s*s)*s*s)/s))*s)/(s*(s*s**(11/5)/s*s)/s))/(s/(s*s**(-1/6)))**(-4/21))**(5/7) assuming s is positive. s**(-53/441) Simplify (j/(((j**(-2)*j)/j)/j*j)*j**(-1/3)/j*j)**(2/97)*(j/(j*j**(-1/2)))**32*((j**4/j*j)/j)/j*j/((j/(j/(j*j**(-1))))/j)*j assuming j is positive. j**(6127/291) Simplify ((x**(3/5)/x*x*x)/x*x**7*x*x**(-1/8)*x**(-2/9))/(x**(3/5)*(x*x**(-1/9))/x)**(2/5) assuming x is positive. x**(14503/1800) Simplify (((w**2)**(-6/17)*((w*w**(-3))/w)**40)**17)**(-44) assuming w is positive. w**90288 Simplify (b/(b*b/(b*b/b**(-2/59))))/(b**(-2/71)/b)*(b**(3/2))**(14/5) assuming b is positive. b**(131159/20945) Simplify (((h**(-6/7)*h)/h**(-4)*(h/(h/(h*h**(1/4))*h)*h*h*h)/(h/h**(7/2)))**(-8/13))**(-2) assuming h is positive. h**(1108/91) Simplify ((n*n**(-9)*n)/(n*n**4))**(2/37)*((n/n**0)**(1/8))**(4/35) assuming n is positive. n**(-1643/2590) Simplify (q**(24/11)*q*(q/(q**(-28)*q))/q*q**(-4/3)*q*q**19)**25 assuming q is positive. q**(40300/33) Simplify ((i**(-4/7)/i)/i*i**(-6))/(i**(-1)*i**0)*(i/(((i/(i**(-3/7)*i))/i*i)/i)*i)/i*i*i**(-2)*i*(i/(i*i**(-1)*i))**(-1/73) assuming i is positive. i**(-6) Simplify ((x/(x/(x*x**28))*x/(x**8/x*x))/(x*x**(-32)*x*x*x**(3/8)))**36 assuming x is positive. x**(3645/2) Simplify ((p**(-5))**23*p**(1/6)/(p*p/p**18))**23 assuming p is positive. p**(-13639/6) Simplify ((c*c**(1/3))**19*((c/(c*c**(-1/5)*c*c))/c)/((c/(c*c**(-5)*c))/c))/(((((c/(c/c**(1/3)))/c)/c)/c)**40)**(-15) a
{ "pile_set_name": "DM Mathematics" }
actor 4*i**2 - 648*i - 2656. 4*(i - 166)*(i + 4) Factor -6*y**4/5 + 1404*y**3/5 - 4176*y**2/5 + 4164*y/5 - 1386/5. -6*(y - 231)*(y - 1)**3/5 Find b, given that -15*b**5/2 + 3*b**4 + 45*b**3/2 - 24*b**2 + 6*b = 0. -2, 0, 2/5, 1 Factor -o**2/2 + 47*o/4 - 33/2. -(o - 22)*(2*o - 3)/4 Factor v**3/6 + 4*v**2/3 - 43*v/6 - 55/3. (v - 5)*(v + 2)*(v + 11)/6 Solve 3*n**3 + 165*n**2 - 339*n + 171 = 0. -57, 1 Factor 2*w**3/7 - 92*w**2/7 - 56*w - 400/7. 2*(w - 50)*(w + 2)**2/7 What is g in 910*g**2/11 + 354*g/11 - 4/11 = 0? -2/5, 1/91 Solve -o**3/2 + 60*o**2 + o/2 - 60 = 0. -1, 1, 120 Let 4*o**5 + 4*o**4 - 208*o**3 + 176*o**2 + 384*o = 0. Calculate o. -8, -1, 0, 2, 6 Factor x**3/3 - 19*x/3 - 10. (x - 5)*(x + 2)*(x + 3)/3 Factor -2*z**4 - 2*z**3 + 30*z**2 + 18*z - 108. -2*(z - 3)*(z - 2)*(z + 3)**2 Solve -4*t**5 + 48*t**4 - 176*t**3 + 152*t**2 + 180*t - 200 = 0. -1, 1, 2, 5 Factor -32*t**3 + 16016*t**2 - 8002*t + 1000. -2*(t - 500)*(4*t - 1)**2 What is d in d**3 - 39*d**2 + 207*d - 297 = 0? 3, 33 Factor 2*x**3/11 + 722*x**2/11 + 1438*x/11 + 718/11. 2*(x + 1)**2*(x + 359)/11 Solve w**3 - 7*w**2 - 44*w = 0. -4, 0, 11 Find p, given that -4*p**4 - 16*p**3 + 20*p**2 = 0. -5, 0, 1 Factor 3*d**3/8 - 21*d/8 - 9/4. 3*(d - 3)*(d + 1)*(d + 2)/8 What is u in 2*u**4/5 - 357*u**3/5 + 529*u**2/5 + 354*u/5 = 0? -1/2, 0, 2, 177 Factor -4*o**2/5 + 72*o/5 + 32. -4*(o - 20)*(o + 2)/5 Find c, given that 2*c**2 + 840*c + 88200 = 0. -210 Solve -2*m**2/7 - 72*m/7 + 920/7 = 0. -46, 10 Factor 4*a**2 - 26*a/5 + 6/5. 2*(a - 1)*(10*a - 3)/5 Factor 2*b**5/7 + 10*b**4/7 + 18*b**3/7 + 2*b**2 + 4*b/7. 2*b*(b + 1)**3*(b + 2)/7 Let -i**4/2 - 7*i**3/4 + i**2 = 0. Calculate i. -4, 0, 1/2 Find t, given that -3*t**2 + 12 = 0. -2, 2 Factor 44*q**3/3 + 31*q**2 + 18*q + 5/3. (q + 1)**2*(44*q + 5)/3 Let 4*h**4 - 4*h**3 - 100*h**2 + 100*h = 0. Calculate h. -5, 0, 1, 5 Let 2*g**4 - 6*g**3 - 6*g**2 + 22*g - 12 = 0. Calculate g. -2, 1, 3 Factor -s**3/2 - 57*s**2/2 - 975*s/2 - 4375/2. -(s + 7)*(s + 25)**2/2 Determine m, given that -2*m**5/3 - 4*m**4/3 - 2*m**3/3 = 0. -1, 0 What is p in -3*p**4 - 636*p**3 - 34338*p**2 - 66780*p - 33075 = 0? -105, -1 Solve 15*x**5 - 51*x**4 + 18*x**3 = 0. 0, 2/5, 3 Suppose 5*r**2 + 10*r - 40 = 0. What is r? -4, 2 Factor -g**2 + 1477*g/3 - 164. -(g - 492)*(3*g - 1)/3 Suppose -2*z**4 - 10*z**3 + 22*z**2 + 66*z + 36 = 0. Calculate z. -6, -1, 3 What is b in -2*b**2 - 22*b - 36 = 0? -9, -2 Factor -4*f**4 - 16*f**3 + 112*f**2 - 128*f. -4*f*(f - 2)**2*(f + 8) Factor 3*u**5/5 - 69*u**4/5 - 486*u**3/5 - 204*u**2 - 696*u/5. 3*u*(u - 29)*(u + 2)**3/5 Factor -2*k**4 + 16*k**3 + 18*k**2. -2*k**2*(k - 9)*(k + 1) Let 3*f**3/7 + 177*f**2/7 - 366*f/7 = 0. What is f? -61, 0, 2 What is w in 2*w**2/13 + 30*w/13 - 308/13 = 0? -22, 7 Suppose -y**2/5 + 3*y/5 + 4/5 = 0. What is y? -1, 4 Factor -4*c**3 - 100*c**2 + 744*c. -4*c*(c - 6)*(c + 31) Factor -d**5/9 + 16*d**3/9 + 16*d**2/9 - 16*d/3 - 64/9. -(d - 4)*(d - 2)*(d + 2)**3/9 Find v, given that -v**2/2 - 33*v/2 - 31 = 0. -31, -2 Factor -4*f**3/7 + 19*f**2/7 - 11*f/7 - 4/7. -(f - 4)*(f - 1)*(4*f + 1)/7 What is u in 2*u**3/13 - 90*u**2/13 + 336*u/13 - 328/13 = 0? 2, 41 Suppose 15*i**5 - 48*i**4 - 24*i**3 + 102*i**2 + 9*i - 54 = 0. What is i? -1, 1, 6/5, 3 Solve h**2/2 - 15*h/2 - 8 = 0. -1, 16 Determine p so that -23*p**3/2 - 47*p**2 - 4*p = 0. -4, -2/23, 0 Suppose -12*x**3 + 756*x**2 - 747*x + 186 = 0. What is x? 1/2, 62 What is l in 2*l**4 - 34*l**3 + 132*l**2 - 144*l = 0? 0, 2, 3, 12 Suppose 5*v**2 + 2650*v + 351125 = 0. What is v? -265 Find r, given that -2*r**2 - 40*r + 42 = 0. -21, 1 Solve -i**3/9 - 58*i**2 + 349*i/3 - 524/9 = 0 for i. -524, 1 Find l, given that -l**3/3 + 121*l**2/3 - 239*l/3 + 119/3 = 0. 1, 119 Factor -5*k**4 + 20*k**3 + 55*k**2 + 30*k. -5*k*(k - 6)*(k + 1)**2 Find y such that -y**3 - 19*y**2 + 64*y - 44 = 0. -22, 1, 2 Suppose 3*s**3/8 - 93*s**2/4 - 381*s/8 - 24 = 0. What is s? -1, 64 Factor -w**5/3 - 102*w**4 - 305*w**3/3. -w**3*(w + 1)*(w + 305)/3 Determine i so that -i**2 + 638*i - 101761 = 0. 319 Factor -3*f**3 + 96*f**2 - 768*f. -3*f*(f - 16)**2 Factor -2*u**2 + 144*u + 146. -2*(u - 73)*(u + 1) Factor -3*t**2 - 8112*t - 5483712. -3*(t + 1352)**2 Find y such that -4*y**5 + 60*y**4 - 252*y**3 + 196*y**2 = 0. 0, 1, 7 Suppose 21*r**4 + 90*r**3 + 1011*r**2/7 + 720*r/7 + 192/7 = 0. Calculate r. -8/7, -1 Factor 2*j**2/5 + 442*j/5. 2*j*(j + 221)/5 Suppose -5*t**4 + 1040*t**3 + 1045*t**2 = 0. Calculate t. -1, 0, 209 Factor -2*m**3/7 + 86*m**2/7 + 180*m/7. -2*m*(m - 45)*(m + 2)/7 Let 27*w**5/4 - 81*w**4 - 615*w**3/4 + 915*w**2 - 753*w + 156 = 0. Calculate w. -4, 1/3, 2/3, 2, 13 Factor -d**3/4 + 17*d**2/4 + 20*d + 21. -(d - 21)*(d + 2)**2/4 Factor -c**3/4 - 339*c**2/4 - 38307*c/4 - 1442897/4. -(c + 113)**3/4 Suppose 3*r**5 + 166*r**4 + 50*r**3 - 276*r**2 - 53*r + 110 = 0. Calculate r. -55, -1, 2/3, 1 Factor 2*r**2 + 6*r. 2*r*(r + 3) Factor 3*k**5 + 654*k**4 - 1980*k**3 + 1986*k**2 - 663*k. 3*k*(k - 1)**3*(k + 221) Find t such that -3*t**3 - 66*t**2 - 420*t - 600 = 0. -10, -2 Factor -x**4 + 34*x**3 - 373*x**2 + 1428*x - 1764. -(x - 14)**2*(x - 3)**2 Determine d so that -2*d**3 - 46*d**2 - 124*d - 80 = 0. -20, -2, -1 Determine t, given that -3*t**3/2 - 3*t**2 + 15*t/2 + 9 = 0. -3, -1, 2 Determine v so that 3*v**2 + 3231*v + 3228 = 0. -1076, -1 Suppose h**2/6 + 79*h/6 = 0. What is h? -79, 0 Factor x**2/4 - 3*x - 7. (x - 14)*(x + 2)/4 Factor -57*t**4/7 + 225*t**3/7 - 216*t**2/7 - 12*t/7. -3*t*(t - 2)**2*(19*t + 1)/7 Let 2*a**3/21 - 8*a**2/7 + 24*a/7 = 0. What is a? 0, 6 Solve -4*y**5 + 252*y**4 - 240*y**3 - 496*y**2 = 0 for y. -1, 0, 2, 62 Determine n, given that 10*n**3 - 142*n**2 - 2042*n + 414 = 0. -9, 1/5, 23 Determine l so that -l**4/2 + 19*l**3 - 214*l**2 + 629*l - 867/2 = 0. 1, 3, 17 What is s in 12*s**5 + 165*s**4 + 690*s**3 + 825*s**2 + 180*s - 108 = 0? -6, -1, 1/4 Factor -2187*l**3/4 + 112266*l**2 - 7683984*l + 175308672. -3*(9*l - 616)**3/4 Determine t, given that 3*t**5 - 3*t**4 - 54*t**3 - 42*t**2 + 51*t + 45 = 0. -3, -1, 1, 5 Let j**3/2 + 1043*j**2/2 + 135720*j - 136242 = 0. What is j? -522, 1 Factor 3*d**2 + 1962*d - 3936. 3*(d - 2)*(d + 656) Find r such that -2*r**2/13 - 7448*r/13 - 7446/13 = 0. -3723, -1 Factor -2*a**4/7 + 2*a**3 + 2*a**2/7 - 2*a. -2*a*(a - 7)*(a - 1)*(a + 1)/7 Find l, given that 2*l**4/9 - 8*l**3/3 + 28*l**2/3 - 104*l/9 + 14/3 = 0. 1, 3, 7 Let -99458*s**2 - 1784*s - 8 = 0. What is s? -2/223 Find b, given that -3*b**4/2 + 9*b**3 + 6*b**2 - 36*b = 0. -2, 0, 2, 6 Factor 6*d**4/7 + 39*d**3 + 135*d**2/7. 3*d**2*(d + 45)*(2*d + 1)/7 Factor -5*z**3 + 235*z**2 - 2875*z + 2645. -5*(z - 23)**2*(z - 1) Solve -5*d**4 - 2490*d**3 + 2505*d**2 + 4990*d = 0 for d. -499, -1, 0, 2 Factor -2*j**3 + 12*j**2 + 62*j - 72. -2*(j - 9)*(j - 1)*(j + 4) Solve -3*h**3 - 417*h**2 - 825*h - 411 = 0 for h. -137, -1 Determine z so that 9*z**3 - 33*z**2 - 12*z = 0. -1/3, 0, 4 Let v**4/2 + 287*v**3/2 - v**2/2 - 287*v/2 = 0. Calculate v. -287, -1, 0, 1 Determine w, given that 5*w**4 + 59*w**3 - 12*w**2 = 0. -12, 0, 1/5 Factor 2*k**5/5 - 7*k**4/5 + 9*k**3/5 - k**2 + k/5. k*(k - 1)**3*(2*k - 1)/5 Solve -2*a**2 + 1184*a - 175232 = 0 for a. 296 Determine q, given that 5*q**5 - 190*q**4 - 210*q**3 + 560*q**2 + 965*q + 390 = 0. -1, 2, 39 What is n in -n**5/4 + 5*n**4/4 + 9*n**3/4 - 53*n**2/4 - 2*n + 12 = 0? -3, -1, 1, 4 What is c in -2*c**2/9 - 40*c/9 - 38/9 = 0? -19, -1 Solve 3*s**3 - 21*s**2 + 42*s - 24 = 0. 1, 2, 4 Suppose 2*j**2/7 - 18*j/7 + 4 = 0. What is j? 2, 7 Let -2*h**4/11 + 106*h**3/11 - 104*h**2/11 = 0. What is h? 0, 1, 52 Factor 5*y**3 + 55*y**2 - 80*y - 1600. 5*(y - 5)*(y + 8)**2 Suppose 2*v**2/11 + 2*v/11 - 40/11 = 0. Calculate v. -5, 4 Factor -5*h**3 - 3540*h**2 + 5*h + 3540. -5*(h - 1)*(h + 1)*(h + 708) Determine t, given that -4*t**2/3 - 1404*t + 4216/3 = 0. -1054, 1 Let 3*i**2/2 - 57*i + 111/2 = 0. What is i? 1, 37 Find h, given that -h**5/2 + 27*h**4/2 - 69*h**3 - 293*h**2 - 645*h/2 - 225/2 = 0. -1, 15 Solve -3*q**4 - 943*q**3 - 73314*q**2 + 124188*q - 49928 = 0. -158, 2/3, 1 Factor 1395*y**3 + 6387*y**2 - 2928*y + 60. 3*(y + 5)*(5*y - 2)*(93*y - 2) Let 4*t**4 - 8*t**3 - 44*t**2 + 48*t + 144 = 0. Calculate t. -2, 3 Let 6*l**5/17 - 146*l**4/17 - 418*l**3/17 - 22*l**2 - 108*l/17 = 0. Calculate l. -1, -2/3, 0, 27 Factor
{ "pile_set_name": "DM Mathematics" }
? True Let t = 24 - 14. Suppose 4*o - 161 = -3*o. Suppose 0 = j - h - 9, 2*j + 3 = h + o. Are j and t equal? False Let i = 0 + 3. Suppose 5*z - 25 = i*m - 5*m, -3*m - 2*z = -10. Suppose -2*c + 8 - 22 = m. Is c at least -6? False Suppose -4*n - 29 = -3*r, r + 3*r = 3*n + 20. Let h = n + 10. Which is bigger: h or -3/5? h Suppose 1 = 4*h - 3. Suppose -5*p + 241 + 1724 = 0. Let q = 6679/17 - p. Which is greater: h or q? h Let s = 858.68 - 859. Are 0 and s nonequal? True Let v(h) = 3*h**2 - 22*h + 2. Let l be v(6). Let z = l + 44. Which is bigger: z or 21? z Let t = 0.0765 + -3.0765. Is t not equal to -47? True Let a = 407 - 405. Which is greater: a or -0.129? a Let o = 0 + 17. Suppose -2*z - 15 = o. Which is greater: -13 or z? -13 Let r(a) = a**3 - 10*a**2 + 11*a - 2. Let l be r(9). Suppose 2*q = -72 - l. Which is smaller: q or -2? q Let f = 5 + -4. Suppose 2*u + 0*u - 5*m + 24 = 0, 12 = 4*u + 5*m. Let q = 13 - u. Which is bigger: q or f? q Let y = 24.6 - 25. Let t = -0.18 - y. Let m = t - 0.12. Do m and 6 have different values? True Let h(c) = -c**2 - 20*c + 18. Let v be h(-8). Is v >= 114? True Let m be ((-69)/27 - -3)*75/(-280). Suppose -d + 2 = -2*j - 4*d, 4*j + 2*d + 4 = 0. Which is greater: j or m? m Suppose -2*t - 24 = t. Let x be (-6)/t - (-2509)/260. Which is smaller: x or 10? 10 Let j = 32.7 - 35. Let y = 0.082 - 2.082. Let i = j - y. Is i at least as big as -1? True Let k be (2/(-2))/(2/2). Let u be (11 + (k - 2))*(-10)/(-25). Which is smaller: 4 or u? u Let x be -2 + -1*(-36)/16. Let c = 159 - 158. Which is bigger: c or x? c Let y = -2.1 + 2.9. Let b = y + -2.6. Let o = b + -0.2. Is o not equal to 12? True Suppose 96 = 6*r - 2*r. Suppose 0 = -3*y - y + r. Are y and 10 non-equal? True Let b be (-12 + 0/3)*-1. Let a = b - 9. Suppose w = a*w. Which is greater: 4/3 or w? 4/3 Let q = -23770 + 903207/38. Let g = q - 2/19. Let v(x) = x - 1. Let j be v(-2). Which is smaller: g or j? j Let l = -191 - -211. Is l < 360/17? True Let j(s) = -s**3 - 66*s**2 + 136*s + 1. Let b be j(-68). Let p = 5 + -5.15. Which is greater: p or b? b Let n = -1093 + 1092.64. Is 1/4 less than n? False Let v(k) = -6*k + 5. Let l be v(1). Is l != -3/158? True Suppose 301 + 141 = -17*l. Which is greater: -27 or l? l Let g(k) = -k**2 - 4*k + 1. Let n be g(-4). Let p be -10*(657/(-162) + 4). Which is bigger: n or p? n Suppose 15*t + 1998 - 438 = 0. Which is bigger: t or -105? t Suppose -3*t - 4*d + 16 = 0, -5*t + 4*d - 5 = 11. Let v = t + 1. Suppose 3*k - 3 = 3*f - 4*f, 3*f - 9 = 3*k. Which is bigger: k or v? v Let b = -186 - -160. Which is smaller: b or -31? -31 Let x = 759 - 621. Do 140 and x have different values? True Let d = 38.076 + -38. Let c = -0.024 - d. Does 32 = c? False Let z = -231.03 + 231. Is z at most as big as 2/15? True Suppose 31 - 27 = 4*r. Which is greater: 8.9 or r? 8.9 Let i(m) = -6*m - 200. Let k be i(-24). Is k bigger than -54? False Let b = -14.2 - -14.3. Let f be 24/(-5)*3/(-6). Do f and b have the same value? False Suppose -5*c + q + 10 = 0, 2*q = -3*q. Let d be c - 2 - (-1 - 2). Suppose -5*k + 0*s + 1 = -s, 0 = -3*k - d*s + 15. Which is greater: 1/2 or k? k Let g = 942.7 - 943. Are 0.01 and g non-equal? True Suppose 2*n = 143 + 129. Is n bigger than 136? False Let a = 414 - 214. Suppose 9*x + a = -x. Which is greater: x or -21? x Let y = -65 - -32. Let t = y - -32.9. Is t less than or equal to 9? True Let i = -2 + 3. Is i greater than 11/5? False Let w = 0.3 - 0.33. Let z = w - -0.03. Let f = z + -3. Are -3 and f equal? True Let b = 68 - 68. Suppose 5 = 3*p - b*p + 4*g, 5*p + 4*g = 3. Which is smaller: -8 or p? -8 Let a = 2210.9 + -2211.9. Let t be ((-3)/26)/(3/(-6)). Let m = 14/117 - t. Is a less than or equal to m? True Let b be 39 + -47 - (4/(-2) + 2971). Is b greater than -2977? False Let d = -13 - -2. Let r = d + 11. Is r smaller than 9? True Let x be 169*((-12)/(-18) + 4/3). Let l = x - 5743/17. Which is bigger: -1 or l? l Let m be 2/7 + (-24)/(-14). Let h = 183 + -182.71. Which is bigger: m or h? m Let r(p) = -p**2 + 20*p - 5. Let q(g) = 21*g - 4. Let w(s) = -3*q(s) + 2*r(s). Let y be w(-10). Are y and -1/3 nonequal? True Let n = -1 + 5. Let l be (16*-2)/n - 0. Is l <= -9? False Let j = 0.93 - 0.66. Let x = 0.23 + j. Is 1/4 <= x? True Suppose 2*m = -3*b - m + 210, b + 3*m - 70 = 0. Suppose 0 = -3*d - 2*d - b. Let v be (-1)/(-10)*35/d. Do -14 and v have the same value? False Let q(z) = -71*z - 143. Let h be q(-2). Are h and 2/6153 unequal? True Let d be (-32)/(-6) - 10/30. Let k = -1 + 18. Suppose d*i + k = 72. Is 11 not equal to i? False Let j(i) be the third derivative of -i**5/60 + 2*i**4/3 - 7*i**3/2 - 2*i**2. Let f be j(15). Let y be f/(-4) + (-136)/96. Is 0 greater than y? False Let g = -307.8 - -18.8. Is 0 bigger than g? True Suppose 4*n + 30 - 247 = -l, -n = l - 220. Is l > -1? True Let d(m) = 6*m + 19. Let g(v) = -5*v - 18. Suppose 0 = i + 4*c - 1 - 1, -c + 8 = -i. Let j(l) = i*d(l) - 7*g(l). Let u be j(11). Is u <= 1/24? False Let v = -163/620 + 2/155. Let s = 38 - 35.01. Let c = s + 0.01. Which is bigger: c or v? c Let d = -15 + 78/5. Let f be -8 + 4 - 458/(-114). Let v = f + -61/228. Is v less than d? True Let m = 507 + -506. Which is greater: m or -13/47? m Let p be (3/9)/((-21)/(-18)). Let q = 0.11 + -0.4. Let c = q - 0.11. Is c bigger than p? False Suppose 6*v = 4*v + 204. Which is smaller: 1 or v? 1 Let v be ((-1035)/(-216))/(-23)*52. Which is greater: -11 or v? v Let i(q) = -q**2 + 21*q + 496. Let r be i(-20). Is -1 <= r? False Let i(r) = -r**3 - r - 5. Let q be i(-3). Let s = q - 25. Are 6/47 and s unequal? True Let f = 213 - 194. Do f and 20 have the same value? False Let w = 4 - -43. Let q = 50 - w. Do q and 1 have the same value? False Let y = -7644 - -53518/7. Let s(j) = j**3 + j**2 + j + 1. Suppose 0 = -5*p - 5 - 0. Let a be s(p). Which is bigger: a or y? y Suppose 3*z - 2*z = -4*q + 37, 90 = 3*z + 5*q. Let x be 20/z*6/4. Suppose 2 + 1 = 3*i. Which is greater: x or i? x Let l = -3.1 - 0. Let f = 4.1 + l. Is f at least as big as -5? True Let t(y) = 4*y - 3. Let j be t(2). Let v = 10 - j. Is v < 0? False Let k = 0.4 - -0.2. Let s = 3.2 - 3.2. Are s and k unequal? True Suppose 4*w + 6 = -45*g + 47*g, 2*w + 15 = 5*g. Let m be 2 - (2 - (-14)/(-8)). Does m = g? False Let p(f) = -f**3 - 17*f**2 - 16*f + 57. Let k be p(-16). Is 59 != k? True Let h = 3.9 - 6. Let k = -12.1 - h. Let y = 9 + k. Do 2/7 and y have different values? True Let o = 54 + -44. Let z be (-18)/60 + (6/o)/3. Are z and -1 nonequal? True Suppose 3*s + 2*q = -s - 8, -s = q. Which is smaller: s or 0.8? s Let s = 134 - 131. Is s not equal to -16? True Suppose -a = -5*x + 195, -9*a - 117 = -3*x - 10*a. Which is greater: 41 or x? 41 Let y = -1961 - -1962. Is y at least as big as -4/739? True Suppose -174 = -5*w - 169. Which is smaller: 2/185 or w? 2/185 Let m be (142/69)/(-1) - -2. Suppose -28*c + 12*c = 0. Which is greater: c or m? c Let z be 1262/(-234) + 96/(-432). Is -5 at most as big as z? False Let c be 14/(-35) + 272/230. Which is smaller: 2 or c? c Let f = 20.48 + -21. Let s = 0.48 - f. Is s at least 6? False Let w(q) = 2*q + 15. Let n be w(-20). Let s be (20/n + 0)*5. Let z be 3/(-78)*(0 - s). Is z smaller than -2? False Let s(m) = -m**3 - 5*m**2 - 11*m - 17. Let b be s(-4). Is 3 not equal to b? True Let i(y) = 30*y + 8. Let u be i(-6). Let s be 66/u + (-3)/(-6). Let j = 203/473 + s. Which is bigger: j or 0? j Let p = -20.767 + 0.767. Which is smaller: -15 or p? p Let p = -49 + 50. Let q be ((-29)/(-3))/(1/(-3)) - p. Does 1/4 = q? False Let i = 12.65 - 12.65. Is i greater than or equal to -317? True Let v(b) = -b**3 - b. Let q be 6/(-15) + (-3)/5. Let y be v(q). Let h = y + -4. Which is greater: h or -2/3? -2/3 Let w = 0.08 + -6.48. Let l = -5.4 - w. Let p = 4.3 + -3. Which is greater: p or l? p Let m(d) = -d**3 - 3*d**2 - d - 5. Let x be m(-3). Let j be (2/(-3))/(x/6). Is j < -11? False Let x = -1.269 + -1.731. Which is greater: -223 or x? x Let y = -383 + 380. Which is smaller: y or -34/21? y Suppose 3*j + 4*c = -5, j - 2*j + c - 4 = 0. Let p be (-2)/j + (-34)/54. Are p and -1 nonequal? True Let d = -637601/1292 - 1/1292. Which is bigger: d or -494? d Let d = -4 - -5. Suppose 3*k - 37 = 4*n, n - k = 2*k - 16. Which is greater: n or d? d Suppose
{ "pile_set_name": "DM Mathematics" }
st to 0.2? (a) 3 (b) -1 (c) 3/7 (d) p d Let i = 0.315 + 0.356. Let o = i + -0.071. What is the closest to -2/5 in o, -3, 0? 0 Let f = 10 + -12. Let v = -4120/9 - -458. Suppose -w = -3*w. Which is the closest to w? (a) v (b) 0.5 (c) f a Let h = 161.9 - 171. Let t = h + 9. What is the nearest to t in -2, -4, 0.3? 0.3 Let f be ((-1)/2)/((-16)/192). Suppose s + f = 5. Let a = 2 - s. What is the nearest to 0.1 in 4, 2, a? 2 Let r = -1144 + 1143.6. What is the closest to 0 in r, -1, 4? r Let d = -99 + -55.6. Let i = 155 + d. What is the nearest to -2/3 in 1, -3, i? i Let w = 0.04 + 0.06. Let h = 56 + -56. What is the closest to w in 3, 2, h? h Let s be 10/15 + 5/(-3). Suppose 41 + 9 = 2*r - 3*q, -3*r + 88 = 2*q. Let w be ((-2)/(8/r))/1. What is the closest to -0.1 in s, w, 2/21? 2/21 Let r be 6 + -1 + 24/(-6). What is the closest to 5 in r, 0.1, -0.2? r Let z = -10.83 - -10.83. Let i = -0.2 + -0.3. Let x = 0.2 - -1.8. Which is the nearest to z? (a) -5 (b) x (c) i c Let i be -2*(-5)/(-20)*3*-18. Let p = -55/2 + i. Which is the nearest to -2/3? (a) p (b) -1 (c) 0.3 a Let k = 0.2 + -0.2. Let p = 5 + k. Let u be (-10 - -17 - 4)*1/3. What is the nearest to 1 in -0.5, p, u? u Let l be (1 - -1) + (-13)/((-546)/(-72)). Which is the closest to l? (a) -1/11 (b) 2.2 (c) 1 a Let s = -0.75 + 32.75. Let w = s + -33. Which is the closest to 0.1? (a) 4 (b) w (c) 1 c Let i = -0.3 + 0.1. Let d = -0.697 - 1.303. What is the nearest to d in 2, i, 0? i Let v = 1.5 + -1.45. Let j = v - 3.05. What is the closest to -1 in j, 2/11, -1? -1 Let j = 18 - 16.5. Let n = j - -3.5. What is the closest to 2 in -3/4, -4/7, n? -4/7 Let w = 46 + -91/2. Let h = 9/13 + -75/52. What is the nearest to 0 in w, h, 0.13? 0.13 Let f be 1*3*4*5/(-60). Which is the nearest to -1? (a) -2 (b) f (c) 1 (d) 0.5 b Let w = 145 + -144.8. What is the nearest to w in -2/19, 3, 1? -2/19 Let p be (3/(-4))/((-2)/8). Let u = 7 - p. Let s = 0.0159 + -3.0159. Which is the nearest to 0.1? (a) s (b) 2 (c) u b Let g = 20.27 - 20.1. Which is the nearest to -1? (a) -4 (b) g (c) -2/9 c Suppose 362*m + 1 = 363*m. Let b = -0.02 - -0.12. What is the nearest to b in -2/7, 0, m? 0 Let h = 121 - 121. Let t be (1 - -9)/(-4 + 6). Which is the closest to h? (a) -0.1 (b) -2/15 (c) t a Let r be (22/(-165))/((-6)/(-9)). Which is the nearest to -2? (a) r (b) 7 (c) 0.4 a Let x = -4 + 4. Let i = 8 + -8. Let n be ((-4)/14)/((-4)/6). Which is the closest to x? (a) 2/5 (b) i (c) n b Let f = -507.3 - -553. Let d = -46 + f. Which is the nearest to 1/2? (a) 4 (b) d (c) 4/3 b Let o = -631 - -627. Which is the closest to -130? (a) 3 (b) 0 (c) o c Let r = 1.1638 + -0.1638. What is the nearest to -2/13 in 3/5, -1/16, r? -1/16 Let z = 36 - 4. Let d = 30 - z. Which is the nearest to 2/3? (a) 0.5 (b) -0.3 (c) d a Let j = -6.9 + 7.29. Let l = -0.29 + j. Which is the nearest to 1? (a) -0.2 (b) l (c) 0 b Let o = -7/3 + 8/3. Let i(h) = h**3 - 3*h - 1. Let g be i(-2). Let w = 336 + -7054/21. Which is the closest to w? (a) g (b) o (c) 2 b Let r = 178/5 + -36. Let z = 2.9 - 3. What is the nearest to z in -0.1, r, 0.3? -0.1 Suppose 11*l - 4*l = -35. Which is the closest to -0.2? (a) -0.5 (b) 13/2 (c) l a Let p = -364 - -365.98. Which is the closest to -0.1? (a) -3 (b) 1/2 (c) p (d) 0 d Suppose -3*w + 5*w - 5*l + 29 = 0, 4*w + 3 = -l. Which is the nearest to w? (a) 4 (b) -4 (c) -22 b Let w(a) = a**2 + 12*a + 34. Let o be w(-7). Let d(v) = -v**2 + v + 1. Let p be d(3). What is the nearest to o in 0.2, p, -4? 0.2 Let r = -2.1 + 2. Let h = -10 - -10.3. Let b = -1360 + 9522/7. What is the nearest to b in h, 1/7, r? h Let f be 6/4*(-19)/(627/176). Which is the closest to -2/9? (a) f (b) 1/5 (c) 0.5 b Let p = -154 - -464/3. Let t be 12/(-9) - 1*-1. What is the closest to p in -0.5, 4/9, t? 4/9 Let f = -403 + 594. Let t = f - 2481/13. What is the nearest to -0.2 in -1, 0.5, t? t Let s = 4 + 0. Suppose 3*k + 10 = 5*k. Let g(m) = m**2 - 6*m + 6. Let d be g(k). Which is the nearest to d? (a) 0 (b) s (c) -0.4 a Let f be (-3)/(-6)*0/6. Suppose 7*x + f*x = 98. Let n be 7/(-28) - x/40. Which is the nearest to 1? (a) n (b) -4 (c) 5 a Let m = -0.7 - -0.8. Let f = -248 - -1244/5. Which is the nearest to m? (a) -0.3 (b) f (c) -0.4 a Let j be 687/(-1095) + (5 - 20/5). Let x = j - -2/73. Which is the nearest to 0.1? (a) x (b) -4 (c) -2 a Let t = -149 - -147. Suppose -3*k + 30 = 5*l, -2*k + 10 + 9 = 3*l. Suppose 2*r = -l*r. Which is the closest to 1? (a) r (b) t (c) 1/7 c Let g = -5.2 + 5.6. What is the nearest to g in -2/5, 2, 5? -2/5 Let v = -224 - -224.1. Which is the nearest to 0.2? (a) 3 (b) -2 (c) v c Let b(c) = -167*c - 1. Let j be b(-3). Let t be 3 - ((-1)/2)/((-70)/j). Let y = 162/35 - 26/5. What is the closest to t in y, -2/21, 5? y Let g = 11 - 16. Let w = 38/11 + -163/44. Let n be (-2)/(-6 - (2 - 2)). Which is the nearest to 0.1? (a) w (b) g (c) n c Let o = -285.8 - -285. Which is the nearest to o? (a) -1/5 (b) 5/3 (c) -2/5 c Let l = 0.6 - -2.4. Let n = 71 + -70.927. Let g = -0.327 - n. Which is the closest to -1/3? (a) l (b) -5/3 (c) g c Let r be (-2)/7 - (-6)/14. Let h = -7003/7 + 1001. Let k be 2 - 3/(81/60). What is the nearest to -0.1 in r, h, k? k Let r be -178 + -2*(-3 + 4). Let x be (0 + (-20092)/r)*3. Let q = x + -335. What is the closest to 0.1 in q, -1, 3? q Let g = -6207/17 - -365. Let m = 1.9 - 0.8. Let w = 1 - m. What is the closest to w in g, 0.3, -1? g Let t = 281.3 - 280.9. What is the nearest to 0.1 in 0.17, t, -3/11? 0.17 Let r = -0.14 - 1.86. Let p = -95/72 + 13/9. Let k = 3/64 - -101/576. What is the closest to r in k, 1/2, p? p Let o be 4/(-2) - (-2 + 0). Suppose -3*f = -4*p - 3, o = p - 2*f - 3 - 0. Let z = -8 - p. Which is the nearest to 3? (a) -0.1 (b) 2/9 (c) z b Let q = -2.3 - 3.7. Let x = 6 + q. Which is the nearest to -1/2? (a) -1/3 (b) x (c) 0.1 a Let y(r) = -2*r**3 + 41*r**2 - 21*r + 19. Let f be y(20). What is the nearest to 0.2 in -0.6, f, 0.3? 0.3 Let x = -1 + 3. Let t = -517.9 + 518. Which is the closest to t? (a) 0.3 (b) x (c) -12 a Let b = -3 - 0. Let t = 1/4 + 65/12. Let i = 19/3 - t. What is the closest to i in b, 0.4, -4? 0.4 Let w = 7.7 - 0.7. Let o = -8 + w. Suppose 0 = -3*s + 3*v - 4*v - 6, -3*v = -4*s - 8. Which is the nearest to 1? (a) -0.2 (b) s (c) o a Let w = 93.363 + 1.637. Which is the closest to w? (a) -1 (b) -1/6 (c) -2/15 c Let t = -40 - -35.6. Let y = t - -4.1. Which is the nearest to -2/13? (a) y (b) 4 (c) 3/4 a Let f = -37.8 - -37.4. Which is the nearest to 1? (a) -6/5 (b) f (c) -14 b Let u = -0.78 + -4.92. Let d = u + 5.72. Which is the closest to 1/3? (a) 3/5 (b) -2/7 (c) d a Let y = -2107 - -2104. Which is the closest to y? (a) 1 (b) -0.5 (c) 3/5 (d) 0.09 b Let w = 42.5 - 40.5. Which is the nearest to 1? (a) w (b) 5 (c) -0.3 a Let r = -40.2 - -40.4. Let f be (-9)/12 + 33/28. Which is the nearest to 2/3? (a) f (b) r (c) -2/9 a Let t = -22.2 + 21.7. Which is the nearest to -5/2? (a) t (b) -0.2 (c) 5 a Let q = -223 + 893/4. What is the nearest to 0.1 in 4, -4, q, -0.07? q Let q = 2.29 - 0.29. Which is the nearest to -1/3? (a) q (b) -1/7 (c) 0.2 b Let d = -135/2 + 66. Let k be 1 + 7 - (-13824)/(-1792). What is the closest to k in d, 5, -0.04? -0.04 Let d = -2 - -2.1. Let u(j) = 3*j**2 + 8*j - 5. Let h(l) = -l**2. Let i(w) = -2*h(w) - u(w). Let y be i(-9). Which is the closest to -3? (a) 0.3 (b) y (c) d b Let r = -1.083 + 0.783. Which is the closest to 0? (a) 2/11 (b) r (c) 4/7 (d) 0.4 a Let z = -113.5 - -114. What is the closest to 0.2 in 29, z, 0.2? 0.2 Let y = 0.71 - 0.71. Which is the nearest to 0? (a) 14 (b) -0.3 (c) y c Let h = 0.5 + -4.5. Let g = 145 - 145.1. What is the nearest to -2/3 in h, 4, g? g Let w be 615/1265 + 4/(-12). Let y = 2/69 + w. Let v = 32/9 + -242/63. Which is the nearest to y? (a) v (b) 2/11 (c) -2 b Suppose 0 = 8*y + 12*y - 60. Let w = 7 - 6.94. Which is the nearest to w? (a) y (b) -4 (c) 2/9 c Let b = -9.278 - -0.078. Let m = -30 + 21. Let l = m - b. What is the closest to 0.1 in 2/21, 0.5, l? 2/21 Let j = 25.2 + -25. Let d = -11.002 - -0.002. Which is the closest to -1? (a) j (b) d (c) 2 a Let w = 483.2 - 483. Which is the c
{ "pile_set_name": "DM Mathematics" }
rs of a meter in millimeters? 11750 What is 3/25 of a centimeter in micrometers? 1200 What is 1.686505 nanoseconds in seconds? 0.000000001686505 What is 135.5349l in millilitres? 135534.9 What is one fifth of a centimeter in millimeters? 2 How many minutes are there in 20.065011 seconds? 0.33441685 How many microseconds are there in seventeen halves of a millisecond? 8500 What is seven halves of a millimeter in micrometers? 3500 What is 9/10 of a micrometer in nanometers? 900 What is 0.1761474um in kilometers? 0.0000000001761474 What is 2.3043708 months in decades? 0.01920309 What is sixty-nine halves of a microsecond in nanoseconds? 34500 What is sixteen fifteenths of a minute in seconds? 64 How many nanograms are there in 2.93008 tonnes? 2930080000000000 Convert 0.5616224 litres to millilitres. 561.6224 How many micrometers are there in 0.4375793m? 437579.3 How many centuries are there in 2.537838 months? 0.002114865 Convert 2.060212 years to millennia. 0.002060212 How many micrograms are there in 25.87152 tonnes? 25871520000000 How many nanometers are there in 0.4414081 centimeters? 4414081 What is 5/8 of a day in hours? 15 What is 55/6 of a century in months? 11000 What is 175.882 centuries in years? 17588.2 How many millilitres are there in 352025.6 litres? 352025600 What is 11/2 of a litre in millilitres? 5500 What is 0.7510676 centimeters in kilometers? 0.000007510676 What is 4256.499 years in centuries? 42.56499 How many kilometers are there in 86.19182m? 0.08619182 What is three tenths of a litre in millilitres? 300 How many millennia are there in 9.977682 months? 0.0008314735 What is 63.063km in nanometers? 63063000000000 How many litres are there in 0.5079229 millilitres? 0.0005079229 Convert 530256.6t to nanograms. 530256600000000000000 What is one tenth of a tonne in kilograms? 100 What is one eighteenth of a day in minutes? 80 What is 1/10 of a millennium in decades? 10 How many centimeters are there in 5.358421 micrometers? 0.0005358421 How many millilitres are there in 736312.3l? 736312300 How many kilograms are there in 252951.5t? 252951500 What is twenty-seven halves of a millennium in years? 13500 What is twenty-five halves of a decade in months? 1500 How many weeks are there in 46030.005 minutes? 4.56646875 Convert 437.741262 minutes to weeks. 0.0434267125 What is 3/8 of a litre in millilitres? 375 How many seconds are there in two ninths of a hour? 800 How many micrograms are there in 11/10 of a milligram? 1100 How many millilitres are there in 32/5 of a litre? 6400 How many centuries are there in 50577.36 millennia? 505773.6 What is 6.498846 decades in years? 64.98846 Convert 92950.69l to millilitres. 92950690 How many centimeters are there in 9.038661 meters? 903.8661 What is 45/2 of a microgram in nanograms? 22500 What is 12/25 of a millimeter in micrometers? 480 Convert 0.2025566 grams to milligrams. 202.5566 How many tonnes are there in 3.164962 nanograms? 0.000000000000003164962 What is one quarter of a millennium in months? 3000 How many millilitres are there in 18/5 of a litre? 3600 What is 1/16 of a hour in seconds? 225 What is 2/7 of a week in hours? 48 What is fourty-four fifths of a tonne in kilograms? 8800 Convert 740.8808 litres to millilitres. 740880.8 How many micrograms are there in 3/40 of a milligram? 75 How many centuries are there in 0.0759671 years? 0.000759671 What is 19.644264 months in centuries? 0.01637022 How many millilitres are there in 8/25 of a litre? 320 What is 7.5253806 seconds in hours? 0.0020903835 What is seven quarters of a litre in millilitres? 1750 How many milliseconds are there in 0.8948634us? 0.0008948634 What is 1525.719 millilitres in litres? 1.525719 What is 7330.718 litres in millilitres? 7330718 What is fourty-eight fifths of a kilometer in meters? 9600 What is 3/5 of a litre in millilitres? 600 What is 0.2414308l in millilitres? 241.4308 What is three fifths of a micrometer in nanometers? 600 What is twenty-one fifths of a millennium in decades? 420 What is 5536.363ml in litres? 5.536363 What is 1/36 of a week in seconds? 16800 How many kilograms are there in 41/2 of a tonne? 20500 How many tonnes are there in 3431.657ug? 0.000000003431657 What is 31/2 of a microgram in nanograms? 15500 What is 12/25 of a litre in millilitres? 480 Convert 450.7215 millilitres to litres. 0.4507215 How many litres are there in 961.3476 millilitres? 0.9613476 What is thirteen fifths of a century in years? 260 What is 29/5 of a litre in millilitres? 5800 What is 21/4 of a litre in millilitres? 5250 What is 0.4890257nm in micrometers? 0.0004890257 How many seconds are there in seven thirds of a hour? 8400 Convert 4.90612 litres to millilitres. 4906.12 Convert 1930.395t to grams. 1930395000 What is 31/5 of a centimeter in micrometers? 62000 What is nineteen quarters of a day in hours? 114 How many grams are there in 7/4 of a kilogram? 1750 What is six fifths of a kilogram in grams? 1200 How many micrograms are there in 3/32 of a gram? 93750 How many decades are there in three tenths of a millennium? 30 How many micrograms are there in 85.03994 tonnes? 85039940000000 What is three fifths of a litre in millilitres? 600 What is 23457.61 kilograms in milligrams? 23457610000 How many milligrams are there in twenty-one eighths of a gram? 2625 What is 36070.39 years in decades? 3607.039 What is 3/28 of a week in minutes? 1080 How many millimeters are there in 89496.75nm? 0.08949675 What is six fifths of a centimeter in micrometers? 12000 How many micrometers are there in thirteen quarters of a centimeter? 32500 How many millilitres are there in five quarters of a litre? 1250 What is 6112.723 years in months? 73352.676 How many nanograms are there in 1/16 of a milligram? 62500 What is 45/4 of a micrometer in nanometers? 11250 Convert 8.243749 litres to millilitres. 8243.749 How many years are there in 51/5 of a decade? 102 How many millilitres are there in one fifth of a litre? 200 How many decades are there in 27/4 of a millennium? 675 How many kilograms are there in 9/25 of a tonne? 360 What is 3/25 of a kilometer in meters? 120 What is eleven halves of a micrometer in nanometers? 5500 What is 5914.684mm in micrometers? 5914684 What is three eighths of a litre in millilitres? 375 What is five eighths of a minute in milliseconds? 37500 What is one tenth of a centimeter in micrometers? 1000 How many millilitres are there in 42/5 of a litre? 8400 How many nanograms are there in 37.00008 grams? 37000080000 How many nanograms are there in thirteen fifths of a microgram? 2600 What is 72705.31 nanometers in micrometers? 72.70531 How many years are there in 13/4 of a century? 325 How many months are there in one tenth of a century? 120 How many years are there in eleven halves of a century? 550 What is 1/5 of a litre in millilitres? 200 How many millilitres are there in 1/4 of a litre? 250 What is one tenth of a kilogram in milligrams? 100000 Convert 57289.76 years to months. 687477.12 Convert 0.912937 decades to years. 9.12937 How many millilitres are there in 53.34929l? 53349.29 How many milligrams are there in 17/2 of a gram? 8500 Convert 70605.54 litres to millilitres. 70605540 Convert 62298.84 centimeters to meters. 622.9884 What is 13/4 of a kilogram in grams? 3250 What is fifteen quarters of a tonne in kilograms? 3750 How many nanometers are there in 13/4 of a micrometer? 3250 What is thirty-three fifths of a centimeter in micrometers? 66000 How many millilitres are there in 7/2 of a litre? 3500 What is 0.284439 litres in millilitres? 284.439 What is 1/4 of a tonne in kilograms? 250 How many micrograms are there in 27/4 of a milligram? 6750 How many grams are there in 3/25 of a kilogram? 120 What is sixty-one quarters of a gram in milligrams? 15250 Convert 2657.497 days to hours. 63779.928 What is 34/5 of a hour in minutes? 408 How many nanoseconds are there in 0.859198 days? 74234707200000 Convert 642870.4kg to nanograms. 642870400000000000 What is 0.398213 micrograms in milligrams? 0.000398213 Convert 6.659223 kilometers to meters. 6659.223 What is 16875.77 millennia in centuries? 168757.7 Convert 72.03953 micrometers to millimeters. 0.07203953 How many millilitres are there in fourty-three quarte
{ "pile_set_name": "DM Mathematics" }
38832 Multiply 30.47 and 117. 3564.99 What is the product of 11 and -9.409? -103.499 What is the product of 0.1632 and 0.0187? 0.00305184 25061*-3 -75183 Product of -0.5 and -5.987. 2.9935 What is the product of -0.39 and 6165? -2404.35 Work out -2156 * 6.5. -14014 What is the product of 0.66 and 2120? 1399.2 0.17 times -1.3836 -0.235212 What is -345 times 0.0409? -14.1105 Product of 129145 and -0.5. -64572.5 Work out 1249 * 21. 26229 What is the product of 239760 and -2? -479520 Product of -0.926 and -0.267. 0.247242 What is the product of 4.7517 and 0.11? 0.522687 Product of -0.36 and 7807. -2810.52 82.8 times -809 -66985.2 0.53 * 6455 3421.15 -71.7*-59 4230.3 What is 0.4 times 84382? 33752.8 What is 510.7 times 27? 13788.9 What is -39773 times 0.4? -15909.2 -2116416 * -0.1 211641.6 What is the product of -0.2 and 0.060714? -0.0121428 -1.569454*-0.5 0.784727 -5272 * 16 -84352 33 * 174604 5761932 3103 times 23 71369 -999835.9*1 -999835.9 Calculate 2*-21960. -43920 0.38917 * -14 -5.44838 What is -144 times 13897? -2001168 0.2*-356.9 -71.38 -0.3*-971.2 291.36 -2 * -102.88 205.76 Multiply 1784 and 58. 103472 What is the product of 91 and -4.4695? -406.7245 Work out -20520 * 0.12. -2462.4 30.74 times -20 -614.8 0*-153.62 0 29 * -0.0525 -1.5225 1 * 3496.7 3496.7 What is 72.32 times 2? 144.64 What is the product of -1714 and 37.5? -64275 Calculate -7.376*-0.3. 2.2128 Calculate 8.7*-243.81. -2121.147 -0.12 times 201737 -24208.44 Work out -1 * -52.11. 52.11 Work out 188 * -923. -173524 Product of 150 and -744. -111600 What is the product of -9.47 and 0.0645? -0.610815 250*0.166 41.5 9091 * 41 372731 Multiply -66336 and -2. 132672 Calculate -0.4*-1184997. 473998.8 Multiply 2 and 4.49531. 8.99062 Work out 0.007 * -401. -2.807 Calculate 0.055*-1.7742. -0.097581 Product of -1 and -17.441. 17.441 6.4 * -1.36 -8.704 -1019 * -9.8 9986.2 -0.5*10933 -5466.5 Multiply 11.5787 and -0.5. -5.78935 Work out -20 * 116.11. -2322.2 85*2.9 246.5 Multiply -11046 and -0.4. 4418.4 What is the product of 0.2 and 0.68237? 0.136474 Product of 0.4041 and 2214. 894.6774 Multiply -3812 and -0.14. 533.68 What is -0.013 times 6.1? -0.0793 What is -8 times 54486? -435888 Calculate 0.4*25775. 10310 What is -0.0907 times -10.4? 0.94328 1425 * -129 -183825 0.5 * -1.0583 -0.52915 Product of -140 and -15476. 2166640 What is the product of -3838 and 0.3? -1151.4 Calculate -146.802*-5. 734.01 Multiply 198185 and 1. 198185 12 times 17413 208956 0.3 times -4.13794 -1.241382 Product of 4738 and 1.5. 7107 Product of -1 and 10.343. -10.343 Work out -6542 * 31.9. -208689.8 0.48 * 259.2 124.416 Work out -2023 * 0.06. -121.38 428.09 times 33 14126.97 What is the product of -0.1 and 330814? -33081.4 What is 19 times -0.037619? -0.714761 What is the product of 1.5 and 0.0891? 0.13365 What is the product of -2.1 and -221059? 464223.9 Product of 32750 and -49. -1604750 What is -3 times -0.159807? 0.479421 Work out 13 * 6.5244. 84.8172 -0.23*-5561.2 1279.076 Multiply 185 and 0.254. 46.99 What is the product of 2 and -129491? -258982 Multiply -23167 and 10.7. -247886.9 Multiply -2441.5 and -28. 68362 0.4 times 15.5107 6.20428 -1*-16.2914 16.2914 What is the product of -6463 and 0.9? -5816.7 Multiply 74576 and -2. -149152 Multiply -0.5 and -1609.2. 804.6 Calculate 0.0666*8.4. 0.55944 What is -0.23 times -38081? 8758.63 What is the product of -22213 and -12? 266556 0.3 * -32929 -9878.7 -3635.1 times -0.3 1090.53 What is the product of -3309 and 0.95? -3143.55 What is the product of -0.08757 and -1? 0.08757 213 * -3352 -713976 What is the product of 0.098085 and 0? 0 Work out 90923 * 3. 272769 -609 * 420 -255780 Multiply 0.1 and -836. -83.6 -3*7075 -21225 Multiply -0.5 and 0.052178. -0.026089 Multiply -17236.8 and -1. 17236.8 0.04 * 45.392 1.81568 What is -3971 times -2.6? 10324.6 2611.72 times -0.2 -522.344 What is -51 times 2236? -114036 78520*-1 -78520 0.0116 * 544 6.3104 What is the product of -0.15 and 15735? -2360.25 Multiply -0.11 and 7336. -806.96 -0.21 times -2.488 0.52248 2.3*-0.052715 -0.1212445 What is 0.5 times -0.0598423? -0.02992115 -0.2 times -0.109558 0.0219116 -0.035 * 109 -3.815 0.17751 * -0.06 -0.0106506 1 * 2.3124 2.3124 What is -72 times -3077? 221544 Calculate -1381*-0.6. 828.6 Multiply 7 and -0.356644. -2.496508 Calculate -762721*11. -8389931 Work out 0.17 * -55.5. -9.435 Product of 303.9 and -62. -18841.8 953*3.08 2935.24 -4*-230497 921988 What is 85646 times -0.4? -34258.4 What is the product of 0.04 and -500653? -20026.12 What is the product of 16.1 and 2196.8? 35368.48 Product of 9153 and 0.5. 4576.5 1334.2 * 4 5336.8 1*58107.8 58107.8 3534 times 0.61 2155.74 Work out 5341 * 1.52. 8118.32 What is the product of -0.11 and 0.72431? -0.0796741 Calculate -0.1*-1.1087. 0.11087 6976 times -1.13 -7882.88 -371 times 56 -20776 What is -0.2973 times -13.3? 3.95409 Work out 7 * -203. -1421 Multiply -467 and -4.43. 2068.81 13 times 0.3736 4.8568 -3*93293 -279879 -19 times -1.1841 22.4979 49 times -1755 -85995 Multiply 106.881 and -1. -106.881 0.05 * 1.5 0.075 -5.19593 * 0.2 -1.039186 Calculate 7.56*1762. 13320.72 Product of 38643 and -2. -77286 8 * -0.067675 -0.5414 5.3 times 22866 121189.8 0.972 times 0.136 0.132192 Product of -412345 and 1. -412345 204 * -10892 -2221968 What is the product of 549.6 and 6? 3297.6 11884 times -0.1 -1188.4 Work out -1.267 * 0.82. -1.03894 -5.79 * 0.2504 -1.449816 0.02*-2883.25 -57.665 What is the product of -946.97 and 0? 0 Work out 4.6765 * 6. 28.059 -0.02 * 124069 -2481.38 Multiply -24 and -56.7. 1360.8 Work out -27656 * 10. -276560 Work out 0.81 * 2247. 1820.07 Calculate -0.5*-238.985. 119.4925 What is the product of -0.36826 and 2? -0.73652 What is -3 times 222.06? -666.18 Calculate -0.06*-0.00616. 0.0003696 Work out 206 * 1.318. 271.508 -0.4 * 9899 -3959.6 Multiply -1957.5 and 22. -43065 -4 times 28538 -114152 Multiply -0.12 and -4778. 573.36 -2 * -3.6811 7.3622 What is the product of 0.2 and 7.2741? 1.45482 Multiply -32.4 and -0.3. 9.72 Work out -0.07 * -0.38263. 0.0267841 Multiply -0.07 and 636173. -44532.11 1376 times -0.071 -97.696 1 * 48652 48652 Calculate -0.316442*-0.8. 0.2531536 Calculate 36.8*238. 8758.4 Work out 318 * 290. 92220 35*-2.04 -71.4 -9.1*-16.83 153.153 Work out -309.9 * -20. 6198 Product of 5 and -27909. -139545 What is the product of -58.0497 and -4? 232.1988 Calculate 866*-250. -216500 1.52 * -3576 -5435.52 Product of -6647 and -0.8. 5317.6 Work out 0.05 * 0.7931. 0.039655 1.7 * -56842 -96631.4 Calculate -11*-462920. 5092120 Calculate -0.153*0.04927. -0.00753831 What is 4486503 times 3? 13459509 Work out 110.872 * 0.6. 66.5232 -48*-1740 83520 What is the product of 5 and 0.0301539? 0.1507695 -0.4*6918 -2767.2 -1.716696 * 5 -8.58348 What is the product of -3004 and 37? -111148 Calculate 10*7463.1. 74631 Multiply 0.0603 and 0.14. 0.008442 Product of 6 and 5675. 34050 Product of 2148.2 and 0.1. 214.82 What is the product of -0.005 and -0.025? 0.000125 Product of -0.8 and 5362. -4289.6 Calculate -1.3*371. -482.3 26.11 times 168 4386.48 Calculate 1058*4751. 5026558 33.6 * 0.5 16.8 Multiply -260 and 3376. -877760 Product of -22310 and -15. 334650 0.27 * -74 -19.98 -4 times 393 -1572 What is the product of 45 and 389? 17505 -3.5741 * -0.4 1.42964 -0.0414*-33.21 1.374894 What is the product of 8341 and -5.8? -48377.8 Calculate 0.2*-721.53. -144.306 Product of -0.29 and 336. -97.44 What is -0.5 times -50867? 25433.5 Product of -5 and 266.44. -1332.2 -8.41*-0.005 0.04205 What is 0.020337 times -83? -1.687971 Work out -0.001 * -567.7. 0.5677 Multiply 10907 and 1.6. 17451.2 What is 4906 times 1.02? 5004.12 1.105*-11.4 -12.597 Product of 0.1 and -155.882. -15.5882 What is -1214.5 times 12.5? -15181.25 -71*84 -5964 5.38*0.0863 0.464294 -1051.37 times 5 -5256.85 Multiply -547.5 and 0.1. -54.75 Calculate 173170*0. 0 8455*0.6 5073 Calculate -65505*-2. 131010 Calculate 308373*-0.09. -27753.57 Product of -16970.2 and -2. 33940.4 What is 2.8 times 1738? 4866.4 What is the product of -497 and -0.16? 79.52 -5 times 103769 -518845 Work out -2439 * 20. -48780 Product of 15 and -8461. -126915 0.3 times 29182 8754.6 What is -9 times -154? 1386 Multiply 18 and 1032. 18576 Multiply 690039 and 3. 2070117 Product of 0.3 and 578. 173.4 Work out 147765 *
{ "pile_set_name": "DM Mathematics" }
- 4*w**2 + 13*w + 19. Let u be g(7). Let x = u - 20624. Round x to the nearest one thousand. -31000 Let n(m) = -m**2 + 2*m + 11. Let a be n(-3). Let w be 1324/30 + a/30. Let q be -335*11/(w/16). What is q rounded to the nearest one hundred? -1300 Let t = 213710.68 - 230804.6884. Let b = -17130.00839975 - t. Let y = b - -36. Round y to seven decimal places. 0.0000003 Let z = 3883.744 + -3894. Round z to zero decimal places. -10 Suppose -131636232 + 68958577 = -31*z + 89408345. What is z rounded to the nearest one hundred thousand? 4900000 Let r = -104 + 106.9. Let u = 2.90088 - r. What is u rounded to 3 decimal places? 0.001 Let s = -3492.34579 + 3490.86. Let r = -1.5227882 - s. Let l = -0.037 - r. What is l rounded to 7 decimal places? -0.0000018 Suppose -6*h + 12 = -3*h. Suppose 4*z + h*b = z + 24, 4*b + 24 = 3*z. Suppose -44 = -4*i + z*i. What is i rounded to the nearest 10? -10 Let f = -1727643620.33000128 + 1727113073.77. Let x = f - -530608.56. Let r = x + -62. Round r to 7 dps. -0.0000013 Let c = 87 - 225. Let t = -240 - c. Let m = t + 102.71. Round m to one decimal place. 0.7 Suppose -5*o + 192 = 3*u - 4*o, -3*o = -4*u + 243. Let a = -61 + u. Suppose 2400000 = a*q - 8*q. Round q to the nearest one million. 0 Let x = -3189 + 3188.9999996401. Round x to seven dps. -0.0000004 Let a(o) = -11*o**3 + o - 2. Let y be a(1). Let h be (-1 - 24/(-3)) + y/4. Suppose 0 = -4*v + h, -4*z + 703996 = -4*v. What is z rounded to the nearest 10000? 180000 Let a = 0.311 + 0.025. Let i = a + -0.33601112. What is i rounded to 6 decimal places? -0.000011 Let m = -68.4 + 66. Let s = m + 2.4656. Round s to three dps. 0.066 Suppose -53*k = -177477 + 5704. What is k rounded to the nearest 100? 3200 Let j = -168497245.9006076 - -168497099. Let w = j - -146.9. Round w to four decimal places. -0.0006 Let u = -4247.235 + 4162.2. What is u rounded to the nearest integer? -85 Let i = -1832381 - -1833508.489. Let u = i - 1124. Let f = u - 3.5. What is f rounded to two decimal places? -0.01 Let t = 4.130739 + -4.12. What is t rounded to four decimal places? 0.0107 Let g = 18.959 - 97.031. Let w = -0.072 - g. Let d = 78.00016 - w. Round d to four decimal places. 0.0002 Let y(o) = -5*o + 47. Let v be y(10). Let g be ((-760000)/v)/(8/1800). What is g rounded to the nearest one million? 57000000 Let c = 8214.3 + -7511. Round c to the nearest one hundred. 700 Suppose 0 = -36*h + 46*h - 846090. Suppose h = -3*j - 3*a, -5*j + 2*a - 140988 = -2*a. Round j to the nearest 10000. -30000 Suppose 2*c - 2716600 = -8*s, -4074900 = -3*c - 30*s + 33*s. What is c rounded to the nearest 10000? 1360000 Let z = 26558 - 26557.78969. What is z rounded to one decimal place? 0.2 Let g(s) be the third derivative of 35*s**4/6 - 29*s**3/6 - 6*s**2 - 2. Let z be g(6). What is z rounded to the nearest ten? 810 Let v = -5768.8 + 6734. Round v to the nearest one hundred. 1000 Let i = -2406.4 - -2406.400072718. Round i to 5 decimal places. 0.00007 Let m = -16.302 - 221.118. Let f = 101.83 + m. Let o = f + 140. Round o to 1 dp. 4.4 Let o = -123.4867 + 0.6467. Let t = 0.16 - o. Let l = -122.906 + t. What is l rounded to 2 dps? 0.09 Let j = 28328.153365 - 28328. Let u = j - 83.188165. Let s = u - -83. Round s to 3 dps. -0.035 Let r = -593362 - -593482.9445. Let a = 121 - r. Let y = -0.05 + a. Round y to three decimal places. 0.006 Let h = -19.6 - -158.6. Let i = h + -161.9. Let j = 4.2 + i. What is j rounded to the nearest 10? -20 Let v = -286.7 - 86.3. Let h = v - -335.9. Round h to the nearest 10. -40 Let l = 20915074.56 - 20914974.13369535. Let p = 0.57390135 + l. Let f = p - 101. Round f to 5 dps. 0.00021 Suppose -48*y + 16375564000 = -232*y + 60*y. Round y to the nearest 1000000. -132000000 Let q = -306.5283896 + 306.54. Round q to five decimal places. 0.01161 Let g be (50/(-2))/((1/(-3462))/(15/(-45))). What is g rounded to the nearest one thousand? -29000 Let z = -53974.302 + 53931. Round z to the nearest integer. -43 Let j be (-334 + 1)/((-2)/(-15434)). Let w = 1070115 - 689876. Let r = w - j. Round r to the nearest one million. 3000000 Let n = -3.4357 + 1.9706. Round n to 1 dp. -1.5 Let u = 365.001509 - 346.8233479. Let z = u + 0.8218129. Let c = 19 - z. Round c to 5 decimal places. 0.00003 Let q = -0.15488766 + 0.15501. What is q rounded to 5 decimal places? 0.00012 Let d = -4052.9997228 - -4053. Round d to 5 decimal places. 0.00028 Let u = 57 + 11. Let y = u - -432. Let i = -499.9999679 + y. What is i rounded to six dps? 0.000032 Let x = -15645 - -15708.39. Let b = -22.5 + 86.5. Let m = x - b. What is m rounded to one decimal place? -0.6 Let k = 9612.9 - 9612.90048681. What is k rounded to five decimal places? -0.00049 Suppose 8795961 = 9*n - 932526. Let b = n - 2090943. Round b to the nearest one hundred thousand. -1000000 Let n be 144/28*81522/12. Round n to the nearest one thousand. 35000 Let j = 0.8936 - 0.0416. Let q = j + -0.8047. Round q to 2 decimal places. 0.05 Let l = 156.87 - -4.13. Let i = l - 160.999268. What is i rounded to 5 decimal places? 0.00073 Let j(t) = 12*t**2 + 355*t + 143. Let k be j(84). What is k rounded to the nearest one hundred? 114600 Let a = 4223710.00299 - 4223689. Let s = 50 - 71. Let i = a + s. What is i rounded to four decimal places? 0.003 Let v = 32.658 + -0.718. Round v to the nearest integer. 32 Let x(j) = 1 - j - 1 - 6 - 9. Let k be x(-15). Suppose k*u = u + 2*w - 259996, 0 = -2*u + 4*w + 520008. What is u rounded to the nearest one hundred thousand? 300000 Let p = 13 + -10. Suppose -243 = s + 3*a, p*a + 112 = 2*s + 634. Let c be s + (-2 - -3 - 4). Round c to the nearest 10. -260 Let z = -0.728 + 0.008. Let f = 0.720917 + z. What is f rounded to five dps? 0.00092 Let m = -1781119 + 3167519. Round m to the nearest 10000. 1390000 Let y = 135 + -134.524. Let x = 247933.476403 - 247933. Let j = y - x. Round j to 5 dps. -0.0004 Let s = 6480235 - 6479895.0267. Let c = s - 340. Let x = -0.027 - c. Round x to 3 dps. 0 Suppose 37*x = 35*x - 1988036. Let t = 793982 - x. What is t rounded to the nearest one hundred thousand? 1800000 Let o = 471 - 327. Let p = -70 + o. Let q = p + -73.999999534. What is q rounded to 7 decimal places? 0.0000005 Let d = -0.221 - 1303.779. Let w = d - -1303.99311. What is w rounded to 4 dps? -0.0069 Let d = 3.7893 - 5351.6893. Let p = d - -4967. What is p rounded to the nearest 10? -380 Let o = 540.9486 + -373.75737. Let a = o + -167.2. What is a rounded to 4 decimal places? -0.0088 Let m = 50637.201 - 7280.871. Let j = m + -43535. Let l = 185 + j. What is l rounded to zero dps? 6 Suppose -4*l - 7 = 4*z + 5, -2 = 3*z - 4*l. Let x be ((-12916)/8 - z)/(12/(-32)). Round x to the nearest 1000. 4000 Let g = 0.02215 - -28.32985. Round g to 1 dp. 28.4 Let a = 376 - -394. Let o = a - 766.39. Let q = o + -0.71. What is q rounded to 1 decimal place? 2.9 Let y = 0.29614 + -0.2938615. Round y to 4 decimal places. 0.0023 Let s = 44.0044 - -8.2786. Let b = s + -0.483. What is b rounded to the nearest integer? 52 Let f = -3.51 - 0.19. Let v = f + 44.5. Round v to the nearest integer. 41 Let g = 95849019484268 + -95849092654717.000093. Let j = g + 73170399. Let k = j + 50. What is k rounded to 5 decimal places? -0.00009 Let s = -1.558287 + 274.551247. Let d = s + -273. What is d rounded to 4 decimal places? -0.007 Let a = -3.2035 - -5.4436. Round a to 2 decimal places. 2.24 Let d = -271 + 274. Suppose -2*o - 38800 = -d*o. Round o to the nearest 1000. 39000 Let f = -36184.0496 - -36231. Let t = -37.7 - 9.3. Let w = t + f. What is w rounded to two decimal places? -0.05 Suppose -h - 29 = -3*l + 3*h, -2 = -4*l - 2*h. Suppose -2*u = -5 - l. Let z be 6/8 + ((-57203)/u)/1. Round z to the nearest 1000. -14000 Let x = 255833 + -447130. Let t = -85045 - x. Let d = t + 2133748. Round d to the nearest 100000. 2200000 Let x = -22024.960973 + 22025. Let v = -0.012 - 0.027. Let i = x + v. What is i rounded to 5 decimal places? 0.00003 Let w = 451.0758 + -451. Let x = 0.07581542 - w. What is x rounded to 6 decimal places? 0.000015 Let p be 8/(-32) + (-744873)/8*-10. Let g = p + 1488909. Round g to the nearest 1000000. 2000000 Let j = 2861 - 2954.82. Let y = j + 93. Let d = y - -0.819999. Round d to five decimal places. 0 Let f = -0.59341 + 525.70341. Let d = 529 -
{ "pile_set_name": "DM Mathematics" }
6*p**2/5 - 52*p/5 - 48/5 = 0. Calculate p. -4, -3, -1, 2 Factor 4*y**3 + 308*y**2 + 5772*y - 6084. 4*(y - 1)*(y + 39)**2 What is s in 4*s**2 - 4752*s + 1411344 = 0? 594 Let 4*x**3 - 68*x**2 + 300*x - 396 = 0. Calculate x. 3, 11 Factor -p**2 + 17*p/4 - 15/4. -(p - 3)*(4*p - 5)/4 Solve -3*s**4/8 + 4*s**3 - 17*s**2/8 - 4*s + 5/2 = 0. -1, 2/3, 1, 10 Factor y**4/2 + 15*y**3/2 + 61*y**2/2 - 15*y/2 - 175. (y - 2)*(y + 5)**2*(y + 7)/2 Solve -2*t**4/21 + 2*t**3/21 + 10*t**2/21 + 2*t/7 = 0 for t. -1, 0, 3 Determine a so that 2*a**3/3 + 32*a**2/3 = 0. -16, 0 Factor 3*i**3 + 24*i**2 - 60*i. 3*i*(i - 2)*(i + 10) Factor -m**3/2 - 5*m**2/2 + 25*m/2 + 125/2. -(m - 5)*(m + 5)**2/2 Factor -2*u**4 - 1992*u**3 - 492008*u**2 + 1992000*u - 2000000. -2*(u - 2)**2*(u + 500)**2 Determine d so that -5*d**2 - 95*d - 300 = 0. -15, -4 Suppose 29*j**5 - 85*j**4/3 - 89*j**3/3 + 85*j**2/3 + 2*j/3 = 0. Calculate j. -1, -2/87, 0, 1 Find a, given that 2*a**2/9 - 128*a/9 - 146 = 0. -9, 73 Find j such that 3*j**2 + 51*j + 48 = 0. -16, -1 Solve 10*o**4/19 + 16*o**3/19 - 78*o**2/19 + 68*o/19 - 16/19 = 0 for o. -4, 2/5, 1 Factor 2*v**4 - 20*v**3 - 600*v**2 + 10000*v - 40000. 2*(v - 10)**3*(v + 20) Factor 4*j**2 - 144*j - 148. 4*(j - 37)*(j + 1) Let -27*d**4/10 + 540*d**3 - 5364*d**2/5 + 3568*d/5 - 792/5 = 0. Calculate d. 2/3, 198 Factor -h**4 - 17*h**3 + h**2 + 17*h. -h*(h - 1)*(h + 1)*(h + 17) Factor 5*x**3 - 10*x**2 - 160*x + 480. 5*(x - 4)**2*(x + 6) Factor 2*h**4/9 - 2*h**3/3 - 2*h**2 + 6*h. 2*h*(h - 3)**2*(h + 3)/9 Factor -n**3/5 + 6*n**2/5 + 36*n/5 - 216/5. -(n - 6)**2*(n + 6)/5 Find b, given that -2*b**2/15 + 2*b/3 - 4/5 = 0. 2, 3 Factor 3*m**3 + 3*m**2 - 30*m + 24. 3*(m - 2)*(m - 1)*(m + 4) Factor -125*y**5 - 325*y**4 - 165*y**3 - 31*y**2 - 2*y. -y*(y + 2)*(5*y + 1)**3 Factor n**4/2 + 19*n**3 + 70*n**2 + 68*n. n*(n + 2)**2*(n + 34)/2 Suppose -2*z**4/13 - 20*z**3/13 - 34*z**2/13 - 16*z/13 = 0. Calculate z. -8, -1, 0 Solve 2*x**5/5 - 12*x**3/5 + 16*x**2/5 - 6*x/5 = 0 for x. -3, 0, 1 Determine u so that -100*u**5 + 3480*u**4 - 37656*u**3 + 131072*u**2 - 181860*u + 88200 = 0. 7/5, 2, 15 Determine c, given that -c**2/10 - 34*c/5 - 66/5 = 0. -66, -2 Solve -2*c**4/11 - 30*c**3/11 - 150*c**2/11 - 290*c/11 - 168/11 = 0. -7, -4, -3, -1 Factor -2*m**3 + 174*m**2 - 3870*m + 3698. -2*(m - 43)**2*(m - 1) Factor 4*h**3/5 + 256*h**2/5 + 100*h + 248/5. 4*(h + 1)**2*(h + 62)/5 Suppose 3*t**4/4 + 15*t**3 + 177*t**2/2 + 135*t + 243/4 = 0. Calculate t. -9, -1 Factor -458882*v**2/7 + 1916*v/7 - 2/7. -2*(479*v - 1)**2/7 Suppose -49*b**4/3 - 280*b**3 - 1704*b**2 - 4320*b - 3888 = 0. Calculate b. -6, -18/7 Find i, given that 2*i**4 + 26*i**3 + 90*i**2 - 50*i - 500 = 0. -5, 2 Suppose g**4/10 + 17*g**3/10 + 57*g**2/10 + 67*g/10 + 13/5 = 0. Calculate g. -13, -2, -1 Factor 4*k**5 - 20*k**4 - 56*k**3 + 496*k**2 - 992*k + 640. 4*(k - 4)*(k - 2)**3*(k + 5) Suppose -c**2/3 + 14*c - 152/3 = 0. Calculate c. 4, 38 Solve 5*r**5 - 190*r**4 + 2140*r**3 - 6290*r**2 + 4335*r = 0 for r. 0, 1, 3, 17 Factor -5*x**2 + 115*x + 700. -5*(x - 28)*(x + 5) Determine h so that 21*h**2 - 120*h - 36 = 0. -2/7, 6 Suppose -4*p**3 - 572*p**2 - 1116*p + 1692 = 0. What is p? -141, -3, 1 What is s in -7*s**4/8 - 157*s**3/2 + 1461*s**2/8 - 505*s/4 + 23 = 0? -92, 2/7, 1 Factor u**5 + 388*u**4 + 37246*u**3 - 75660*u**2 + 38025*u. u*(u - 1)**2*(u + 195)**2 Factor -5*f**4 - 25*f**3 + 280*f**2 + 300*f. -5*f*(f - 6)*(f + 1)*(f + 10) Let 2*p**3/13 + 38*p**2/13 - 2240*p/13 + 18424/13 = 0. What is p? -47, 14 Determine y, given that -296*y**2 - 580*y + 24 = 0. -2, 3/74 Find v such that v**2/5 + 2*v/5 - 143/5 = 0. -13, 11 Let -45*u**2 - 115*u - 70 = 0. What is u? -14/9, -1 What is l in 2*l**5 - 34*l**4/5 - 118*l**3/5 + 202*l**2/5 - 12*l = 0? -3, 0, 2/5, 1, 5 Factor -x**3/2 - 2*x**2 - x/2 + 3. -(x - 1)*(x + 2)*(x + 3)/2 Let 4*h**3 - 12*h**2 + 16 = 0. Calculate h. -1, 2 Factor -5*h**2/6 + 920*h/3 - 84640/3. -5*(h - 184)**2/6 Determine x, given that 2*x**2/5 + 24*x/5 - 216/5 = 0. -18, 6 What is d in -d**4 + 38*d**3 - 352*d**2 = 0? 0, 16, 22 Find j, given that -300*j**2 - 880*j - 112 = 0. -14/5, -2/15 Find q, given that 2*q**2/9 + 32*q/3 = 0. -48, 0 Factor -3*d**2 + 156*d - 1260. -3*(d - 42)*(d - 10) Let 3*r**2/2 - 321*r/2 + 1188 = 0. Calculate r. 8, 99 Factor b**3/2 + 21*b**2 - 44*b. b*(b - 2)*(b + 44)/2 Find i such that 4*i**5 - 530*i**4 + 248*i**3 + 2120*i**2 - 1056*i = 0. -2, 0, 1/2, 2, 132 Find y, given that -y**2/7 - 13*y/7 - 22/7 = 0. -11, -2 Let -12*f**3 + 2164*f**2 - 97920*f + 32400 = 0. What is f? 1/3, 90 Suppose -4*v**3/3 - 72*v**2 + 700*v/3 + 304 = 0. Calculate v. -57, -1, 4 Factor -5*i**4/4 + 3*i**3/2 + 5*i**2/4 - 3*i/2. -i*(i - 1)*(i + 1)*(5*i - 6)/4 Suppose -13*c**5/2 + 27*c**4 - 43*c**3 + 32*c**2 - 21*c/2 + 1 = 0. What is c? 2/13, 1 Factor 12*v**5 + 44*v**4 + 32*v**3 - 16*v**2. 4*v**2*(v + 2)**2*(3*v - 1) Solve 4*b**2 + 212*b = 0 for b. -53, 0 Suppose 90*p**5 + 22*p**4 - 1228*p**3/5 - 264*p**2 - 496*p/5 - 64/5 = 0. Calculate p. -1, -4/9, -2/5, 2 Factor 3*d**2/4 - 69*d/4 - 18. 3*(d - 24)*(d + 1)/4 Find v such that 9*v**3 - 96*v**2 + 141*v - 54 = 0. 2/3, 1, 9 Suppose 3*k**2 - 834*k - 837 = 0. Calculate k. -1, 279 Factor 6889*q**3/3 - 2241*q**2 - 55*q - 1/3. (q - 1)*(83*q + 1)**2/3 Let 2*f**3 - 402*f**2 - 2*f + 402 = 0. What is f? -1, 1, 201 Solve -2*l**2 + 370*l - 1800 = 0 for l. 5, 180 Factor -2*v**3/9 - 50*v**2/3 + 986*v/9 + 126. -2*(v - 7)*(v + 1)*(v + 81)/9 Factor z**4/2 - 51*z**3 + 2701*z**2/2 - 2550*z + 1250. (z - 50)**2*(z - 1)**2/2 Find s, given that 3*s**5 - 18*s**4 + 9*s**3 + 30*s**2 = 0. -1, 0, 2, 5 Suppose -3*s**4 + 57*s**3 - 312*s**2 + 528*s = 0. What is s? 0, 4, 11 Find a, given that 2*a**2/11 - 50*a/11 = 0. 0, 25 What is t in 5*t**2 + 1180*t - 7260 = 0? -242, 6 What is v in -v**3/4 - 3*v**2/4 + 3*v/2 + 2 = 0? -4, -1, 2 Factor w**2/2 - 26*w - 53/2. (w - 53)*(w + 1)/2 Factor -a**3 - 7*a**2 + 8*a. -a*(a - 1)*(a + 8) What is x in -x**4/2 + 71*x**3 + 143*x**2/2 = 0? -1, 0, 143 Find q such that q**5/5 - 10*q**4 - 381*q**3/5 - 1006*q**2/5 - 1132*q/5 - 456/5 = 0. -2, -1, 57 Factor l**2 + 12716*l + 40424164. (l + 6358)**2 Let -v**5/4 - 4*v**4 - 53*v**3/4 - 31*v**2/2 - 6*v = 0. Calculate v. -12, -2, -1, 0 Suppose 20*u**5 - 14992*u**4 + 38820*u**3 + 18008*u**2 - 59728*u - 23904 = 0. Calculate u. -1, -2/5, 2, 747 Factor -2*l**2 + 252*l - 250. -2*(l - 125)*(l - 1) Factor c**3/2 - 37*c**2/2 + 67*c/2 + 105/2. (c - 35)*(c - 3)*(c + 1)/2 Factor 12*b**5/5 - 28*b**4/5 - 24*b**3/5. 4*b**3*(b - 3)*(3*b + 2)/5 Factor 2*j**5/11 + 32*j**4/11 + 108*j**3/11 + 152*j**2/11 + 98*j/11 + 24/11. 2*(j + 1)**4*(j + 12)/11 Suppose 3*z**4 + 15*z**3 - 3*z**2 - 15*z = 0. Calculate z. -5, -1, 0, 1 Factor -k**2/3 - 942*k + 2827/3. -(k - 1)*(k + 2827)/3 Factor -2*v**5 - 52*v**4 - 264*v**3 - 496*v**2 - 320*v. -2*v*(v + 2)**3*(v + 20) Factor -47*b**3 + 370*b**2 - 281*b - 42. -(b - 7)*(b - 1)*(47*b + 6) Determine d, given that -80*d**3 - 7800*d**2 - 19125*d - 11875 = 0. -95, -5/4 Factor -33*b**2 + 34*b - 1. -(b - 1)*(33*b - 1) Solve 3*l**4/4 + 15*l**3/4 - 21*l**2/4 - 15*l/4 + 9/2 = 0. -6, -1, 1 Determine a, given that -a**5/3 + 4*a**4 + 28*a**3/3 = 0. -2, 0, 14 Determine r so that 15210*r**4 - 30732*r**3 + 79178*r**2/5 - 1576*r/5 + 8/5 = 0. 2/195, 1 Suppose 2*w**2/9 + 5536*w/3 + 3830912 = 0. Calculate w. -4152 Factor -2*y**5 - 26*y**4 - 84*y**3 - 116*y**2 - 74*y - 18. -2*(y + 1)**4*(y + 9) Factor 2*t**3/17 + 112*t**2/17. 2*t**2*(t + 56)/17 Factor -2048383*o**3/9 - 32258*o**2/3 - 508*o/3 - 8/9. -(127*o + 2)**3/9 Factor -z**5/4 - 27*z**4/4 - 68*z**3 - 328*z**2 - 768*z - 704. -(z + 4)**4*(z + 11)/4 Factor -36992*i**3 + 36448*i**2 + 542*i + 2. -2*(i - 1)*(136*i + 1)**2 Suppose v**5/4 - v**4/2 - 7*v**3/4 - v**2 = 0. What is v? -1, 0, 4 Factor 3*f**2 + 6*f + 3. 3*(f + 1)**2 Factor -2*g**2 - 788*g. -2*g*(g + 394) Factor 4*j**2 - 24*j + 20. 4*(j - 5)*(j - 1) Factor 5*q**3 + 240*q**2 + 175*q - 2820. 5*(q - 3)*(q + 4)*(q + 47) Find p such that 3*p**5/7 - 9*p**4/7 + 9*p**3/7 - 3*p**2/7 = 0. 0, 1 Determine k, given that -3*k**4 + 24*k**3 - 63*k**2 + 66*k - 24 = 0. 1, 2, 4 What is p in -2*p**4/9 - 26*p**3/9 - 34*p**2/3 - 70*p/9 + 200/9 = 0? -5, -4, 1 Solve -k**5/4 + 5*k**4 + 11*k**3 + k**2/2 - 43*k/4 - 11/2 = 0. -1, 1, 22 Find j, given that -3*j**3/8 + 15*j**2/4 + 69*j/8
{ "pile_set_name": "DM Mathematics" }
e 4*b = -30*f + o*f + 35, f - 28 = -5*b for b. 5 Suppose -7*n - 1 = -76*n - 1. Solve n = -5*w + 4*w + h + 7, 2*w - h = 11 for w. 4 Let q be ((-3)/6*0)/(-3). Let d be (0 - q) + (-5)/((-10)/8). Solve -5*m - 2*i = 3, 3*i - i + 12 = d*m for m. 1 Let d(w) = w**2 + 45*w + 119. Let z be d(-42). Let q(x) = -19*x - 120. Let g be q(z). Let h = -11 - -13. Solve 0 = 5*a + v - 9 + 35, h*a = -3*v - g for a. -5 Suppose 3*t + 3*g - 110 + 68 = 0, t + 3*g = 28. Solve -4*a + 5*x = t, 12 = -2*a - 4*x + 2 for a. -3 Let x(v) = 4*v**2 + 5*v**2 - 3*v - v + 14*v + 7 - 146 - v**3. Let b be x(8). Solve u - 4 = w + 2, 0 = -2*w - b*u + 23 for w. -1 Let j(c) = -c**3 + 8*c**2 - 14*c - 10. Let q be j(9). Let w = q - -220. Solve 4 = -2*n - 2*p, w*n + 9 = -p - 3 for n. -5 Let v = -84 - -81. Let s be (-10 - 29/v)/(1/(-15)). Solve -2 = s*i - f - 3*f, 8 = -i - 3*f for i. -2 Let s = -16530 + 16535. Solve -5 = 163*y - 165*y - s*q, y - q + 1 = 0 for y. 0 Let s = -12 - -8. Let n be (-3*(-15)/(-12))/(1/s). Let d be 3*(-25)/n*(-1 + 0). Solve -15 = -d*w - 2*o, o = -0*w - 2*w + 6 for w. 3 Let b = -1081 - -1063. Let o be 2 - (-5)/((-10)/16). Let j = o - b. Solve u - 6 = -f, 3*u = f - 2*f + j for f. 3 Let v(t) = 2*t**3 + 17*t**2 + 26*t - 22. Let d be v(-6). Solve -10 = n - 3*p, 4*p - 14 = d for n. 2 Let i(s) = 2*s**2 - s - 1. Let m be i(2). Suppose -9 = -5*v + m*f - 4, 1 = -v + 2*f. Solve -v*b - 2*b = -5*a, -2*b + 5*a = 6 for b. 2 Let b = -34 - -37. Suppose -4*c - n = -14 + 2, -2*c - b*n + 16 = 0. Let d be 2*((-1)/2 - c)/(-1). Solve -s + 15 + 3 = d*m, 14 = 3*m - s for m. 4 Suppose -47*r = 372 - 607. Solve 3*f = i - 7, r*i - 3 = 2*f + 4*i for f. -4 Suppose -11*v - 528 = -23*v. Let u be (v/(-55))/(2/(-5)). Solve -3*s = -m + 6, 1 = s + 4*s + u*m for s. -1 Suppose d = 421*q - 417*q + 7, 2*d + 2*q - 4 = 0. Solve 4 = y + 3*c - 8, -5*y = -d*c - 6 for y. 3 Suppose 0 = -3*m - 2*m - 4*m. Suppose 5*j - 240 = 2*j. Suppose -4*o = o - j. Solve 0*p + p - 8 = -4*w, m = -4*p + o for w. 1 Let s be (-5)/15*-6*1. Suppose -4*v = 2*z + z - 123, s*z - 102 = 4*v. Let r = z - 41. Solve -2*y - 2 - r = -4*t, -5*t + 12 = -y for t. 3 Suppose 23*b - 18*b = 2*s - 1826, s = -4*b + 913. Let h = s - 911. Solve -a + 5*j - 17 = 0, h*a - 13 = 7*a - j for a. -2 Let k be ((-705)/(-2256))/((-3)/(-48)). Solve k*p + v + 4 = 3, -p = -4*v + 17 for p. -1 Let q(u) = u**2 + 43*u - 13. Let o be q(-10). Let z = 349 + o. Solve 4*r - 3*w = 17, 2*w - z = r - 14 for r. 2 Let i(j) = 7*j - 69. Let t be i(7). Let y be (-275)/(-15)*-9*4/t. Let p(u) = u + 1. Let q be p(4). Solve -5*o - 21 = 2*h, q*o + y = h + 3*h for h. 2 Suppose -4*f + 2*p + 2 = 0, -4*f - 13 = 5*p - 50. Solve 0 = -5*c + 4*c - 1, -5*o = f*c + 28 for o. -5 Suppose -2*l + 10 = 2*y, -69 = 41*y - 45*y + 3*l. Solve 2*s + y = 0, 0 = 2*m - 16*s + 19*s + 28 for m. -5 Suppose -3*d - 1 = -7. Let m(a) = -a**3 - 73*a**2 + 37*a + 2705. Let r be m(-73). Solve -4*z + 16 = 0, d*z = -4*i + r*z - 16 for i. -2 Suppose 3*c - y = -4*y + 15, 0 = 2*y. Solve 5*h + 30 = -2*m, -2*h + 0*h + 17 = -c*m for m. -5 Let v be 3 + (-32)/6*(-6)/8. Suppose 8 = 27*u - 100. Solve 0 = u*t + p + 1, -2*t = 4*p - p - v for t. -1 Let p(d) = d**3 - 7*d**2 + 5*d + 12. Let g be p(6). Suppose 34 = -4*c - g. Let y be -1*2*25/c. Solve -s + y*r = -24, 0 = 3*s - 0*r - 4*r - 28 for s. 4 Let z = 158 + 56. Let w = 218 - z. Solve i = 5*a + 3, -a - i = 1 - w for a. 0 Let l be 8/16 - 25/(-10). Let o be 46/8 - (9/12 - 0). Solve z + 24 = -5*i, -i - z - o - l = 0 for i. -4 Suppose 6 = 5*t + k + 1, 0 = 5*t + 4*k + 10. Suppose -t*u + 6 = 3*g, -9*g = -4*g - 3*u - 29. Solve d - 16 = -5*b - 0*b, b + g*d + 12 = 0 for b. 4 Let w = -551 - -511. Let g(s) = s**3 + 6*s**2 - 4*s - 2. Let y be g(-5). Let l = w + y. Solve -15 = -4*d + 2*u - 3*u, 3 = -l*u for d. 4 Suppose 5*i + 5*l - 275 = 0, 166 = 3*i - 2*l - 24. Let m be (12/24)/(3/i). Suppose m*k + 18 = 16*k. Solve 0 = -k*x + 4*j - 1, 2 + 9 = -3*x - j for x. -3 Let j(v) = 22*v**3 - v + 1. Let b be j(1). Let x = -217 - -240. Suppose 24*w = x*w + 2. Solve -5*t + 19 = -3*g - t, -4*g = -w*t + b for g. -5 Let f be (0 - 6/(-4))*-2 - -17. Suppose -f*a + 8 + 6 = 0. Solve -2*i - 5*x = a, 3*i + 3*x = -1 - 5 for i. -3 Suppose 10*r + r - 99 = 0. Suppose -r*g = -12*g + 12. Suppose 0 = g*p - p. Solve p*j = j + 4*c + 3, -2*c = 0 for j. -3 Let z(t) = t**3 - 16*t**2 + 50*t - 305. Let v be z(14). Suppose 0 = -4*b + 100 + 76. Suppose 4*m - 4 = b. Solve -2*u = f + m, -32 = 3*u + v*f - 8 for u. -4 Let v = 6468 + -6459. Solve v*x = 5*x - 3*s - 11, -5*s - 20 = 5*x for x. 1 Let a(u) = u**3 + u - 55. Let f be a(0). Let w = -51 - f. Suppose 4*r - w*o = 16, -2*o + 5 = 4*r - 11. Solve 3*t - r = 2*i, 5 = -t - i - 2 for t. -2 Let v(c) = -c**3 + 17*c**2 - 61*c + 17. Let y be v(12). Solve -2*n = 5*m - 9*m + 12, -3*n = -y*m + 16 for n. -2 Suppose 3*v - 24 = -10*j, 4*v + 1 = 3*j + 33. Solve 2*x + d = 4, -4*d + v = 5*x - d for x. 4 Let v = 105 - 67. Let i = v - 34. Let z be (-6)/i + 1 - 266/(-76). Solve -5*m - 40 = 5*n, 9 = -0*n + 2*n - z*m for n. -3 Let h(a) = -a**2 - 46*a - 75. Let m be h(-44). Solve 14*t - m = 9*t - c, 0 = -2*c + 6 for t. 2 Let x be 4/14 - 7950/(-105). Let d = x + -84. Let q be 5 - (d/(-10) - 5/(-25)). Solve 12 = q*o, -6*o = -5*l - 4*o + 14 for l. 4 Suppose 110 = -14*o + 4*o. Let w(h) = 36 - 3*h + 2*h + h + 3*h. Let m be w(o). Solve -2*y + 0*y + 19 = -5*t, m*y - 9 = t for y. 2 Let z be ((30/(-70))/((-2)/14))/1. Let q(u) = -u**2 + 6*u + 2. Let x be q(6). Suppose x*o - 7 = 7. Solve 4*v + 5*k + 7 = 0, -z*v + k - o = -8*v for v. 2 Let g(x) = 196*x - 363. Let n be g(2). Solve 2*r - 24 = -4*d, n*d - 31*d = 4*r - 24 for r. 4 Let h(q) = 365*q - 5445. Let n be h(15). Solve -5*p - 40 = 3*y, -6*p + n = -7*p - 5*y for p. -5 Let d be (-6)/(-24) - (-11)/4. Suppose -d*g = 2*g - 15, -2*g = -5*v + 44. Suppose c = -c + v. Solve 0 = -4*i + 4*o - 3*o + 3, c*i - 7 = -2*o for i. 1 Suppose 259 - 281 = -11*u. Solve 4*t - u*z = -0*t - 18, 5*t + 19 = -z for t. -4 Let t = 27908 - 27904. Solve 3*j + r - t = -3*r, 4*j = 4*r - 32 for j. -4 Suppose -6*t + 36 = 4*z - 10*t, -2*z - 17 = 5*t. Suppose -2*b + 11 = 3, -3*b = -z*v. Solve -6 = 2*s, 6*u + 9 = 5*u - v*s for u. 0 Let i(x) be the second derivative of x**4/12 + 23*x**3/6 + 27*x**2/2 + 2*x + 4. Let w be i(-22). Solve 10 - 27 = 4*d + c, -w*d = -c + 28 for d. -5 Suppose 0 = -352*z - 114*z - 19*z + 2425. Let q = -7 - -10. Suppose -3*a + 7 = v - 2, q*a + 3*v = 9. Solve -a*n = -3, -4*n = -z*l - 3*n + 14 for l. 3 Let r = -263 + 266. Suppose 2*s = 8*i - r*i + 3, 5*i = -3*s + 17. Solve -3*p - 17 = -0*g - 4*g, s*p - 2*g = -6 for p. 1 Let p be -20 - (-22 + (-10)/(-1)) - -32. Solve -3*b - p = 675*d - 680*d, 0 = -3*d + b + 12 for d. 3 Suppose 4*s - s = 3. Let x = -1 + s. Suppose 0*d - 6*d = x. Solve -3*w + 0*w - 2*c + 12 = d, 4*c = 0 for w. 4 Let c = 2043 - 2040. Solve 4*d - 1 = -2*f + c*d, -5 = -4*f - 3*d for f. -1 Suppose d + 4*n = -17, -5*d - 60 = -n + 46. Suppose -9*r + 8*r + 5*t = 0, -t + 55 = 2*r. Let p = r + d. Solve -3*x + 4*x - p*h + 15 = 0, x - 3*h = -10 for x. 5 Let b = -3 + 9. Let s(o) = -2*o + 34. Let f be s(9). Suppose -68 - f = -12*n. Solve 0 = 2*q - b, d = -3*q + 6 + n for d. 4 Let p = 17958 + -17953. Solve -5*i - p*y + 50 = 0, 0 = 42*i - 37*i - 3*y - 10 for i. 5 Let v = 6902 - 6900. Solve 0 = -2*s - v*s - 5*g + 23, -3*s + 21 = 5*g for s. 2 Let o = -1839 + 1844. Solve -v = -4*x - 9, 0*v = 5*x + o*v + 5 for x. -2 Suppose 4*q - 3*r = 16, 0*r + 4 = q + 3*r. Let w(n) = -n**3 - n**2 + 5*n + 2. Let b be w(2). Solve 4*y - 5 = -y + 5*k, 5*y - q*k = b for y. -4 Let v(g) = g**3 + 6*g**2 + 2*g - 8. Let w be v(-5). Suppose 0 = 2*u - 5*o + w, 0 = 2*u - 2*o + 1 - 3. Solve s + 1 = -5*i, u*s + 2*i + 4 = 7*i for s. -1 Let k be (-362)/12 - 1/(-6). Let p be ((-10)/(-15) + -1)/(1/k). Let l be p/6*(-3)/(-5). Solve 0 = -v + 2*u - l, 8 = 2*v + u - 0*u for v. 3 Suppose 29*y = 5*y + 672. Suppose y = 10*d - 32. Solve 3*r + 0 + d = 0, 3*r - 3 = -3*h for h. 3 Let j(k) = -301*k + 1208. Let i be j(4). Solve z - 2*z + 5*x = -20, x = z - i for z. 0 Suppose -115*b + 380 = 6*b + 138. Solve -3*z - b*o = -6*o - 27, -2*z = -4*o - 22 for z. 5 Let r(u) = 3*u + 2. Let c be r(1). Suppose c*v = -2*i + 31, -5*i - 1 = -2*v - 6. Solve 4*s + 12 = -5*n, s + v*n + 0 = -3 for s. -3 Let x(w) = 178*w + 360. Let b be x(-2). Solve -2*l -
{ "pile_set_name": "DM Mathematics" }
5) Simplify (n**(-2/15)*n)**49*n**(1/7)*n/(n**(2/91)/n) assuming n is positive. n**(60862/1365) Simplify (((((c*c/(c/c**(-1))*c*c)/c)/c)/(c*c**(-4)))/(c/(c*c**(2/7))*c/(c*c*c**7)))**(-40) assuming c is positive. c**(-3160/7) Simplify (((n*n/(n**(-5)*n)*n)/n**(1/7))**33)**(-45) assuming n is positive. n**(-71280/7) Simplify ((k*k**(3/20)*k*k)/(k**8*k*k))/(k/k**(-30))**(2/3) assuming k is positive. k**(-1651/60) Simplify (d**(3/20)*d*d*d**39*d)**(-33) assuming d is positive. d**(-27819/20) Simplify (s**1)**(-14/3)*s**26/((s/s**(-24/5))/s) assuming s is positive. s**(248/15) Simplify (v/(v*v**(-7/3))*v**(-21)*v)/(v**5)**(-50) assuming v is positive. v**(697/3) Simplify (t*t*(t**(2/5)/t)/t*t*t*t)**(-49)*t**(-12)/(t**2/t) assuming t is positive. t**(-898/5) Simplify v/(v/v**(-17)*v*v)*v**22*(v*v**(-2/47))/(v*v/(v/((v**(-10/11)*v*v*v)/v))*v) assuming v is positive. v**(448/517) Simplify ((x**14/x*x**(-3/11)/x)**(-21))**7 assuming x is positive. x**(-18963/11) Simplify ((q*q**(1/30))/q)**(-2/23)*(((q/(q/(q*q/(q*q**(-1/10)))))/q)/q)**41 assuming q is positive. q**(-25463/690) Simplify (z*z/(z/(z*z/z**6)*z)*(z/(z*z*z**(2/53)/z)*z)/z)**(1/36) assuming z is positive. z**(-107/954) Simplify ((h*h**1)**40/(h**(2/17)/(h*h**1/h)))**(-15) assuming h is positive. h**(-20625/17) Simplify p**9*p/p**(-13)*p*p*p**13*p/(p*(p/p**13)/p) assuming p is positive. p**51 Simplify ((d**(-1/2)*d)/d**(-15))/(d/(d/(d*d**(1/3))))**(-3/13) assuming d is positive. d**(411/26) Simplify (y*y**(-2/23)*y*y**(-2/3))**(-7/11) assuming y is positive. y**(-602/759) Simplify (h**2)**(13/6)/(h**3*h)**(24/5) assuming h is positive. h**(-223/15) Simplify ((x/(x/(x**(2/5)*x)))**48/(x/((x/(x*x**(1/4)*x*x))/x))**30)**22 assuming x is positive. x**(-6633/5) Simplify ((((k**3*k)/k)/k)/k*k*k/k**(1/11))/((k**(-4)/k)/k*k)**(-1/10) assuming k is positive. k**(53/22) Simplify ((y*y**(-34)*y)/y)/(y*y*(y*y*y*y/(y**(6/7)/y)*y)/y*y)*(y*y**(-1/29))/y*y**(-20) assuming y is positive. y**(-12216/203) Simplify (h**38*h**(-2/75))**11 assuming h is positive. h**(31328/75) Simplify n/(n/(n**(-13)/n))*n*n**(-10)*(n**12/n)/n**(4/5) assuming n is positive. n**(-64/5) Simplify s/((s/(s*(s/s**(-11))/s))/s)*s*s**6*(s*s**13)/(s**(-5)/s) assuming s is positive. s**40 Simplify (a/(a/(a*a**(4/9))))/(a*a**(-11))*a**(2/15)*a*a*a/(a*a**(-4)*a*a) assuming a is positive. a**(701/45) Simplify ((z*z/(z*z**1))/(z**(-5)/z))**32 assuming z is positive. z**192 Simplify o**30/(o**(-34)/o)*((o**1/o)/o)**(-9) assuming o is positive. o**74 Simplify ((u/u**(-1))/u*u/u**(-36))/(u/(u*u/u**(-16/7))*u**(-16)) assuming u is positive. u**(401/7) Simplify (((y**(-1/2))**(-14))**(-12/5))**(-2) assuming y is positive. y**(168/5) Simplify (c**(-4))**(-25/6)*(c*c**3/c)**(-3/13) assuming c is positive. c**(623/39) Simplify (p**12)**28/(p**(-2/5))**(8/13) assuming p is positive. p**(21856/65) Simplify (n/((n/n**0*n)/n)*n**(1/8))/(n*n**(2/3)/n*n/(n/n**(-7/3))) assuming n is positive. n**(43/24) Simplify ((b**14/b*b)/(b/(b**(-3/13)/b*b)))/(b*b*b/(b**9/b)*b*b)**(-47) assuming b is positive. b**(-1667/13) Simplify (((n/(n**(-8)*n*n))**(1/10))**7)**(3/10) assuming n is positive. n**(147/100) Simplify (t*t**(-8/5)*t*t)/(t*t**(16/7))*(t*(t*t*t**(-9))/t)/t**(-15/2) assuming t is positive. t**(-97/70) Simplify s*s**(-2/9)*s**8*s**(-7)*s*s*s*s*(s**(-7/2)/s)/s assuming s is positive. s**(5/18) Simplify u**(-1/21)*u**(3/5)*(u*(u/(u**5*u))/u*u)**(-45) assuming u is positive. u**(18958/105) Simplify ((o**(-1)*o*o*o)/o*o)**(-2/25)/(o*o**6*o*o/(o*o*o/(o**(-14)*o))) assuming o is positive. o**(171/25) Simplify (a/((a/a**0*a)/a))**(-16/7)/(a**(-2))**(-20) assuming a is positive. a**(-40) Simplify (u/(u**(-2/13)*u)*(u/(u*u*u*u/(u/(u**(-5)/u))*u))/u)/(u**(-5))**(1/3) assuming u is positive. u**(149/39) Simplify i*((i*i**(2/13))/i)/i*i**8/i*i**(-1/10)*i*i**(4/3) assuming i is positive. i**(3661/390) Simplify (y*y**(-1))**7*(y**(3/4))**13 assuming y is positive. y**(39/4) Simplify ((v**21/v)/v**(2/51))/(v**(8/3)*v**(-2/13)) assuming v is positive. v**(3856/221) Simplify (o**3)**(-29)*o**(-7)/o*(o/o**(-1/4))/o assuming o is positive. o**(-379/4) Simplify (v**(-1/8))**(-40)*v**(1/5)/(v*v*v**(4/3)) assuming v is positive. v**(28/15) Simplify ((((b**(-2/11)/b)/b)/b*b)/b)**(-2/31)/(b**6*b*b**(-4/9)) assuming b is positive. b**(-19489/3069) Simplify ((t**(1/2))**(1/11)/((t*t**1/t)/(t**5*t)))**(-1) assuming t is positive. t**(-111/22) Simplify ((j**3)**49)**(5/14) assuming j is positive. j**(105/2) Simplify ((z/(z/((z*(z/((z/(z/z**20*z*z))/z*z)*z*z)/z)/z)*z*z)*z)/z**(-10))**(-12) assuming z is positive. z**84 Simplify (h*h*h**(-2/21)*h**(-3/28)/h*h)/(h**(-3/13)*h*h*h)**(-14) assuming h is positive. h**(44299/1092) Simplify (y**(-10)*y**(-4)*y)/(y**(-1/3)/y*y*y**4) assuming y is positive. y**(-50/3) Simplify (y/y**(-3)*y)**12/(y**0*y)**(-22) assuming y is positive. y**82 Simplify (((p**(-7)/p)/p**(-3))**(-45))**(-31) assuming p is positive. p**(-6975) Simplify g**5/g**(2/7)*g**(-5/4)*g/((g**11/g)/g) assuming g is positive. g**(-127/28) Simplify ((u/((u**(1/13)*u*u*u*u)/u))/(u/(u**13*u)*u))/(u/(u*u**(6/7)/u))**(1/17) assuming u is positive. u**(15338/1547) Simplify ((x**(1/7)/x)/x*x**(3/5))/(x**(11/7)*x/x**(3/8)) assuming x is positive. x**(-967/280) Simplify b**8*b*(b/b**(-2/23))/b*b*(b/(b/(b**21*b))*b*b)**(-13/3) assuming b is positive. b**(-2160/23) Simplify (q**(-18)*q*(q*q**(-15)/q)/q*q)/(q**8)**3 assuming q is positive. q**(-56) Simplify (((g**3/g)/g**(-1/4))/(((g/((g/(g**(1/4)/g))/g))/g)/g**(3/5)))**(-41) assuming g is positive. g**(-738/5) Simplify h**(-11)*h**(-9/5)*(h/((h*h**(-3)/h*h)/h))**(11/4) assuming h is positive. h**(-9/5) Simplify ((d**(-2/13)/d**(-4/7))/(d/(d/(d/(d*d*d**0*d)))*d**(-4)/d))**24 assuming d is positive. d**(16200/91) Simplify (p**(-14)/p)**(2/7)*(p/(p**(-1/20)/p*p))**(-1/3) assuming p is positive. p**(-649/140) Simplify ((r/((r/r**1)/r))**36/(r**(-6)*r/r**2))**(2/27) assuming r is positive. r**(158/27) Simplify (m**17*m*m**(-9))/(m**(-1/6))**(-18) assuming m is positive. m**6 Simplify (((i/(i/i**(-3)))/i**(1/2))/(i**(-8)*i*i*i**(5/2)))**(1/25) assuming i is positive. 1 Simplify (y**18/y**24)**(1/3) assuming y is positive. y**(-2) Simplify ((a*a*a*a*a**(2/37)*a*a)/(a**(-4)/a*a))/((a**(-2/3)/a)/a)**45 assuming a is positive. a**(4812/37) Simplify k**(-6/11)/k**19*k**(-7)*(k/(k/(k/(k/(k/(k**6*k))))))/k assuming k is positive. k**(-369/11) Simplify ((w/(w*w**(-11)))/w*w*w**(1/12))/(w**(-12)*w**(1/2)/w) assuming w is positive. w**(283/12) Simplify w**(-3)*w*((w/(w**2*w)*w)/w)/w*w**(-3)*w*w*w**(-7)*w assuming w is positive. w**(-12) Simplify (u*u**(-2/37)/u)/u*u**21*u*u/(u*(u**(2/35)*u)/u)*u**(-4/13) assuming u is positive. u**(346483/16835) Simplify y/(y*(y**19/y)/y)*y/y**(2/7)*y*y**10*y**35*y assuming y is positive. y**(215/7) Simplify (l**(11/4)/(l/l**(-30)))**(3/14) assuming l is positive. l**(-339/56) Simplify r/(r/r**14)*r**(-10)*r**(-1)*r**(-5/8) assuming r is positive. r**(19/8) Simplify (v/(v*v**(-20)*v*v)*((v**(-17/3)/v)/v)/v)**22 assuming v is positive. v**(616/3) Simplify (((d/(d*(d*d**(2/3)*d)/d))/d)/d)/(d/(d/(d/(d/d**(2/23)))))*(d/(d*d**(1/3)))**(9/2) assuming d is positive. d**(-725/138) Simplify (h/(h*h**(-6/7))*h*h**12)/(h/h**13*h/h**(-1/7)) assuming h is positive. h**(173/7) Simplify ((x**(2/15)*x*x**(-1))/(x**2/x**(-2/15)))**(-8) assuming x is positive. x**16 Simplify (i/(i/(i/((i/(i*i**(16/9)))/i)))*i**34/i)**20 assuming i is positive. i**(6620/9) Simplify (a*a/(a**(-2/11)*a))**(-1/9)/(a**7/(a/(a**(7/5)*a))) assuming a is positive. a**(-4223/495) Simplify (d**(-6)*d**(-5))/(d*d**(-2/7))**(1/22) assuming d is positive. d**(-1699/154) Simplify (((p*p**(-9/4))/p*p)**(13/5))**(-5/4) assuming p is positive. p**(65/16) Simplify (h**(-2))**(-6)/(h**(2/41)*h/(h*h*h**6*h)) assuming h is positive. h**(818/41) Simplify n**(-5/3)*n**(1/2)*n**(-1/8)/n**(2/39) assuming n is positive. n**(-419/312) Simplify (u**(2/29)*u*u*u**(-2/23))/(u**5*(u/u**4*u)/u) assuming u is positive. u**(-12/667) Simplify (((u*u/((u/(u*(u*u*u*u**(-3/7))/u))/u))/(u*u/(u*u*u**6/u*u)))/((u*u**10)/(u/u**(-2/19)*u)))**(7/2) assuming u is positive. u**(223/38) Simplify (r/r**(-30)*r)**(-3/29)*r**(-33)/(r/(r/r**3)) assuming r is positive. r**(-1140/29) Simplify ((j/j**1*j)**
{ "pile_set_name": "DM Mathematics" }
n 6343 is divided by 6272? 71 Calculate the remainder when 884 is divided by 227. 203 What is the remainder when 11434 is divided by 1611? 157 Calculate the remainder when 44513 is divided by 20. 13 What is the remainder when 347578 is divided by 180? 178 What is the remainder when 32703 is divided by 31? 29 What is the remainder when 1141 is divided by 564? 13 Calculate the remainder when 3569 is divided by 1298. 973 What is the remainder when 138657 is divided by 233? 22 What is the remainder when 96174 is divided by 31? 12 What is the remainder when 21833 is divided by 7272? 17 What is the remainder when 396260 is divided by 4? 0 What is the remainder when 99574 is divided by 18? 16 What is the remainder when 74674 is divided by 37? 8 Calculate the remainder when 5629 is divided by 1110. 79 Calculate the remainder when 22893 is divided by 587. 0 What is the remainder when 68823 is divided by 695? 18 Calculate the remainder when 1686 is divided by 763. 160 Calculate the remainder when 1573345 is divided by 29. 8 Calculate the remainder when 4710 is divided by 61. 13 What is the remainder when 101537 is divided by 17? 13 What is the remainder when 167724 is divided by 83813? 98 Calculate the remainder when 273223 is divided by 119. 118 Calculate the remainder when 9501 is divided by 639. 555 Calculate the remainder when 14592 is divided by 251. 34 What is the remainder when 4642 is divided by 1157? 14 Calculate the remainder when 25277 is divided by 6. 5 What is the remainder when 14982 is divided by 15? 12 Calculate the remainder when 3175430 is divided by 104. 102 Calculate the remainder when 38799 is divided by 7753. 34 What is the remainder when 12981 is divided by 60? 21 Calculate the remainder when 1746 is divided by 180. 126 Calculate the remainder when 23655 is divided by 54. 3 What is the remainder when 32027 is divided by 32022? 5 What is the remainder when 2372 is divided by 471? 17 What is the remainder when 29939 is divided by 12? 11 Calculate the remainder when 12681 is divided by 6335. 11 Calculate the remainder when 16448 is divided by 10. 8 What is the remainder when 4038 is divided by 126? 6 What is the remainder when 10231 is divided by 3400? 31 What is the remainder when 31603 is divided by 15649? 305 What is the remainder when 13054 is divided by 4349? 7 Calculate the remainder when 125707 is divided by 152. 3 What is the remainder when 20492 is divided by 4090? 42 What is the remainder when 2861 is divided by 1456? 1405 Calculate the remainder when 5407 is divided by 2587. 233 What is the remainder when 2905 is divided by 22? 1 Calculate the remainder when 85649 is divided by 28530. 59 Calculate the remainder when 2624009 is divided by 347. 342 Calculate the remainder when 3634 is divided by 21. 1 What is the remainder when 14469 is divided by 1204? 21 What is the remainder when 14710 is divided by 315? 220 What is the remainder when 1666 is divided by 172? 118 What is the remainder when 666 is divided by 85? 71 Calculate the remainder when 433 is divided by 290. 143 What is the remainder when 851795 is divided by 12? 11 What is the remainder when 937 is divided by 19? 6 Calculate the remainder when 129006 is divided by 18423. 45 Calculate the remainder when 5216 is divided by 61. 31 Calculate the remainder when 99867 is divided by 799. 791 What is the remainder when 93639 is divided by 10? 9 What is the remainder when 12365 is divided by 4101? 62 What is the remainder when 859 is divided by 3? 1 Calculate the remainder when 31201 is divided by 33. 16 Calculate the remainder when 36980 is divided by 14. 6 Calculate the remainder when 21997 is divided by 414. 55 Calculate the remainder when 5563 is divided by 372. 355 What is the remainder when 122319 is divided by 149? 139 What is the remainder when 33376 is divided by 377? 200 What is the remainder when 1242 is divided by 46? 0 Calculate the remainder when 43673 is divided by 59. 13 Calculate the remainder when 6387 is divided by 10. 7 Calculate the remainder when 12870 is divided by 21. 18 Calculate the remainder when 7569 is divided by 113. 111 Calculate the remainder when 698 is divided by 57. 14 Calculate the remainder when 7876 is divided by 35. 1 What is the remainder when 123835 is divided by 5384? 3 Calculate the remainder when 7289 is divided by 208. 9 Calculate the remainder when 1147894 is divided by 5. 4 Calculate the remainder when 612 is divided by 212. 188 Calculate the remainder when 77146 is divided by 9. 7 What is the remainder when 3095 is divided by 73? 29 What is the remainder when 1595340 is divided by 223? 221 What is the remainder when 97417 is divided by 161? 12 Calculate the remainder when 32038 is divided by 199. 198 Calculate the remainder when 3608 is divided by 157. 154 What is the remainder when 3353 is divided by 7? 0 Calculate the remainder when 3375 is divided by 1968. 1407 What is the remainder when 219260 is divided by 27? 20 Calculate the remainder when 8588 is divided by 1221. 41 Calculate the remainder when 11018 is divided by 367. 8 Calculate the remainder when 11102 is divided by 433. 277 Calculate the remainder when 227499 is divided by 32. 11 Calculate the remainder when 13123 is divided by 28. 19 Calculate the remainder when 1256 is divided by 400. 56 What is the remainder when 45648 is divided by 1984? 16 What is the remainder when 42702 is divided by 65? 62 Calculate the remainder when 53375 is divided by 953. 7 What is the remainder when 2203 is divided by 148? 131 What is the remainder when 23450 is divided by 50? 0 What is the remainder when 1664 is divided by 423? 395 Calculate the remainder when 2487 is divided by 91. 30 Calculate the remainder when 5452 is divided by 1750. 202 Calculate the remainder when 12278 is divided by 205. 183 What is the remainder when 339600 is divided by 67918? 10 Calculate the remainder when 192 is divided by 159. 33 What is the remainder when 9787 is divided by 28? 15 Calculate the remainder when 23601 is divided by 3367. 32 Calculate the remainder when 124741 is divided by 368. 357 What is the remainder when 1796 is divided by 9? 5 Calculate the remainder when 33663 is divided by 236. 151 What is the remainder when 76080 is divided by 23? 19 Calculate the remainder when 2469 is divided by 601. 65 What is the remainder when 10659 is divided by 511? 439 What is the remainder when 304479 is divided by 54? 27 Calculate the remainder when 41546 is divided by 51. 32 Calculate the remainder when 18450 is divided by 17. 5 Calculate the remainder when 6906 is divided by 6472. 434 Calculate the remainder when 8476 is divided by 181. 150 What is the remainder when 5625839 is divided by 220? 219 What is the remainder when 825547 is divided by 26? 21 Calculate the remainder when 337785 is divided by 112585. 30 Calculate the remainder when 142121 is divided by 112. 105 What is the remainder when 3954388 is divided by 167? 162 What is the remainder when 17518 is divided by 64? 46 Calculate the remainder when 2911 is divided by 658. 279 What is the remainder when 130165 is divided by 527? 523 What is the remainder when 2666873 is divided by 329? 328 What is the remainder when 2750 is divided by 1373? 4 Calculate the remainder when 4303 is divided by 251. 36 Calculate the remainder when 6877 is divided by 27. 19 Calculate the remainder when 630264 is divided by 182. 180 What is the remainder when 6600 is divided by 599? 11 What is the remainder when 124167 is divided by 278? 179 What is the remainder when 24620 is divided by 56? 36 Calculate the remainder when 2293968 is divided by 1847. 1841 What is the remainder when 680234 is divided by 442? 438 What is the remainder when 7424863 is divided by 74? 73 Calculate the remainder when 42009 is divided by 86. 41 Calculate the remainder when 2927 is divided by 376. 295 Calculate the remainder when 6991 is divided by 66. 61 What is the remainder when 3172 is divided by 675? 472 What is the remainder when 51754 is divided by 12739? 798 Calculate the remainder when 1268 is divided by 1174. 94 What is the remainder when 50875 is divided by 320? 315 What is the remainder when 1251 is divided by 733? 518 Calculate the remainder when 38457 is divided by 26. 3 Cal
{ "pile_set_name": "DM Mathematics" }
3) + 3 - 1 + 0 + 6 + 15 + 9). -1122*z**2 Expand t**5 + 0*t**5 - 2*t**5 + t**5 - 1 + 1 + (11*t + 4*t - 18*t)*(2*t**2 + t**4 - 2*t**2) + (-3 + 3 + t)*(-2*t**4 - 3*t**2 + 3*t**2). -5*t**5 Expand (3*p - 4*p - p + (6 - 1 - 3)*(0*p - 2*p + 4*p) - p - 3 + 3 + p + 0*p + p + 3*p - 5 + 5 + p + p + 0*p)*(2*p + 1 - 1)*(-90*p - 2 + 35 - 36). -1440*p**3 - 48*p**2 Expand (-3 + 5 - 1)*(-23*t - 29*t + 129*t) + (5 + 0 - 3)*(t - 5*t + 2*t + (-t + t + 3*t)*(-1 - 3 - 5)). 19*t Expand (u**3 + 4 - 4)*(1141 + 1073 + 496 + 1438 + 572). 4720*u**3 Expand (75*g - 75*g - g**3)*(119 + 139 - 39). -219*g**3 Expand (2*c + 3*c - 4*c)*(-3*c + 3*c + 2*c) + 1007*c - 27256*c**2 - 7303*c**2 - 520*c - 487*c - 1 + c**2 + 1. -34556*c**2 Expand (-46*k + 46*k - 16*k**2)*(-1 + 1 - 2*k) - 69*k**3 + k**2 + 3 - 80*k**3 - 81*k**3. -198*k**3 + k**2 + 3 Expand (69 - 199 - 523)*(-4*b**2 + 3*b**2 - b**2) - 5*b**2 + 13 + 2*b**2 - 11. 1303*b**2 + 2 Expand (-15 - 2*h + 32223*h**2 - 32221*h**2 + 0)*(-4*h + 15*h - h + (5*h - 3*h + 0*h)*(-2 + 3 - 3)). 12*h**3 - 12*h**2 - 90*h Expand (w - 5*w + 2*w)*(2487 - 3553 + 2208) - w - 2*w + 5*w. -2282*w Expand (3 + 2 + 22)*(-48*i**2 - 405 + 405). -1296*i**2 Expand (-9 - 1 + 2)*(2*h**3 - h**3 - 2*h**3) - 23*h**3 - 7*h**3 - 18*h**3. -40*h**3 Expand (-3 + 4 + 0 + (2 - 2 + 2)*(3 - 1 - 1))*(1348*c**2 - 2354*c**2 + 1156*c**2) + 3*c**2 + 2*c**2 - 4*c**2 + (3*c + 0*c - 5*c)*(-c + 0*c - c). 455*c**2 Expand (0*k + 0*k - 2*k)*(3 + 9 + 405*k - 13 + (2 + 2 - 5)*(-2*k - 3*k + 4*k) - 2*k + 6*k - 3*k)*(-1 + 8 + 0). -5698*k**2 + 14*k Expand -75*u + 193 - 26*u**3 - 188 + 71*u + 9*u**4 + (-u + 2 - 2)*(u**3 - 3*u**3 + u**3). 10*u**4 - 26*u**3 - 4*u + 5 Expand (-8 - 1 + 4)*(23 - 23 + 7*o - 6*o + o + 4*o + (4 + 2*o - 4)*(-2 + 3 - 2))*(-2 + 3 + 6*o - 5*o). -20*o**2 - 20*o Expand (4*v**3 - 2*v**3 - v**3)*(-45 - 93 + 14) + (0 - 7 + 2)*(5*v**3 - 2*v**3 - v**3 - 2*v). -134*v**3 + 10*v Expand (-7*k - 4*k + 3*k)*(-127*k - 14*k**2 + 36*k**2 + 114*k - 3). -176*k**3 + 104*k**2 + 24*k Expand (2 - 6 + 2 + (-1 - 4 + 6)*(2 - 3 + 0))*(15703 - 31398 - 11590*i + 15695). 34770*i Expand (-81 - 82 + 156)*(-9*t + 9*t + 8*t**2)*(-32*t + 22*t + 30*t + 2*t). -1232*t**3 Expand 5*z**3 + 3*z**2 - 3*z**2 + (-z - 2*z**2 + z)*(1 + 3*z - 1) + 2*z**3 - 169*z**2 + 169*z**2 + z**3 - 4*z + 0*z**3 + 2*z. 2*z**3 - 2*z Expand (-208261*v**2 + 208261*v**2 + 4978*v**3)*(6 - 6 + 2*v). 9956*v**4 Expand (4 - 6 - 67*s + 119*s)*(-17 + 6 + 2). -468*s + 18 Expand (b + b**2 - 3*b**2 + 22 - 21)*(-80*b**2 + 189*b**2 - 90*b**2). -38*b**4 + 19*b**3 + 19*b**2 Expand -7*o + 3*o + 3*o + 4 - 11*o + 3*o - 5*o + (-10 - 3*o + 10)*(-6 + 2 + 2). -8*o + 4 Expand (-5*z**5 - z**4 + z**4)*(252 - 120 + 309 + 519). -4800*z**5 Expand (h - 4*h - 4*h)*(1 + 0 - 2)*(-35*h - 195 + 195) + (0*h - 3*h + h)*(0 + h + 0) + h**2 - 2 + 2 - h**2 + 3*h**2 - 3*h**2. -247*h**2 Expand (-6*t**4 + 0*t**4 - t**4 + 977*t**4 - 314*t**4 - 311*t**4 + (-4 + 3 + 0)*(-3*t**4 + 4*t**4 - 2*t**4))*(3*t - t - 3*t). -346*t**5 Expand -19847*x**2 + 19847*x**2 - 8054*x**3 + (x + x - x)*(3*x**2 - x + 2*x**2 + 1 - 6*x**2). -8055*x**3 - x**2 + x Expand (-4*d - 3*d - 2*d)*(d - 3*d + 3*d)*(-5 - 7 - 7)*(-2 + 2 + 2). 342*d**2 Expand (1 + 6 - 12)*(-2 + 1 - 267*v + 369*v). -510*v + 5 Expand (54*u + 41*u - 24*u)*(-u + 2*u - 5*u)*(-3*u**2 + 4 - 4) + u**4 - u**4 + u**4. 853*u**4 Expand (-323 - 25*i + 323)*(0*i - i + 0*i) - 9*i**2 + 25 - 25 + (5*i - 3*i - i)*(-i - 2 + 2). 15*i**2 Expand (-4 + d**2 + 4)*(-d - 2*d**3 + d) - d**5 - 6*d**5 + 2*d**5 + 45*d**2 + 50*d**2 - 95*d**2 - 588*d**5 + (d**2 - d**2 - 2*d**2)*(-d**2 + d**2 - 2*d**3). -591*d**5 Expand (0 - 3*g + 0 + (2*g - 5*g - 6*g)*(-1 + 2 - 4) + (2 - 1 + 1)*(-20 + 2*g + 20))*(2*g + 2*g + 0*g). 112*g**2 Expand (5 - 3 + 0)*(-2*b - 3*b + 3*b) + 351 - 353 + 588*b - 91*b. 493*b - 2 Expand -5797*k**3 + 5797*k**3 - 6*k**5 + 0*k**5 - 3*k**5 - 3*k**5 + (-2*k**2 - k**2 + 5*k**2)*(k**3 + 3 - 3) + 4*k**5 - 4*k**5 + 2*k**5. -8*k**5 Expand -161*s - 555*s - 592*s + (-1 + 1 + 2*s)*(-4 + 4 + 1). -1306*s Expand (4*o**2 + 0*o**2 + 8*o**2)*(12 + 14 + 9 + (-2 + 7 - 3)*(0 + 2 - 1) - 2 - 1 + 1). 420*o**2 Expand (-3*c + 4*c + c)*(-c - 2*c + c) + (-3*c**2 - 7*c**2 + 7*c**2)*(7 + 0 - 3 + 0). -16*c**2 Expand (0 + 3 - 2)*(-4*r + 4*r - 2*r**2) - 7*r**2 - 2*r**2 + 0*r**2 + (3*r - r + 2*r)*(2*r + r + 6*r) - 2*r**2 - 3*r**2 + 2*r**2 - r**2 + 4*r**2 - r**2. 24*r**2 Expand (2*k + 2 - 2*k**2 - 2)*(-3*k + 6*k + 3*k) + (-3*k + 5*k - 3*k)*(k**2 - k**2 + k**2) + (4*k**2 - k**2 + 0*k**2)*(3*k - 5*k + 4*k). -7*k**3 + 12*k**2 Expand (3*b**3 + b**3 + 13*b**3 + (2 + 0 - 4)*(-b**3 + 4*b - 4*b))*(-8*b + 0*b - 17*b). -475*b**4 Expand (1 + 0 + 1)*(2*i**2 + 4*i - 4*i + 3*i**2 - 4*i**2 - 2*i**2 + (4*i + 3*i - 3*i)*(1 - 1 + i) + 17*i**2 + 2*i**2 - 3*i**2)*(0*i - i + 0*i)*(5*i**2 - 5 + 5). -190*i**5 Expand y + 6*y - 20*y + (-1 + 1 - 2*y)*(-3 - 1 + 5) - y - 2*y + 2*y + (-2*y + 0*y + 4*y)*(-6 + 11 + 14). 22*y Expand (-t - 2*t + 2*t)*(-2*t**3 + 0 + 0) + 7*t - 7*t + 16*t**4 + 2759*t**3 - 2759*t**3 + 4*t**4 - t + t**2. 22*t**4 + t**2 - t Expand 0 - 2*c**3 + 0 + (1 + 1 - 4)*(0*c**3 - 2*c**3 + 3*c**3) + (1 - 3 - 3)*(-2 + 3 - 6)*(18*c**3 - 2*c**3 - 54*c**3). -954*c**3 Expand (-17 + 5 + 6)*(1 - 1 + 3*w)*(33 - 33 - 2*w**3). 36*w**4 Expand (-49152187*v + 49152185*v - 23*v**2 - 2 + 5*v**2 + 4*v**3)*(1 + 1 + 2). 16*v**3 - 72*v**2 - 8*v - 8 Expand (-h + 11*h + 18*h)*(281 + 40 + 64) + h + 2 - 2. 10781*h Expand 2*r**5 - 4*r**5 + 6*r**5 + (-2*r**3 - r**3 + 4*r**3)*(-4*r**2 + 0*r**2 - 3*r**2) - 11*r**5 + 5*r**5 - 10*r**5 + 3 - 3 - r**5. -20*r**5 Expand (-6*c + 36 - 28 - 4)*(2 + 5 + 1)*(c + 2*c + c). -192*c**2 + 128*c Expand ((-3 - 3 - 1)*(3 + 2 - 4) + 8 - 7 - 6)*(0 + 8*r**2 + 0). -96*r**2 Expand (-6*u**4 + 12*u**4 + 15*u**4)*(-u + 0*u + 2*u) + 34*u**5 + 3429*u - 3429*u. 55*u**5 Expand ((-260*z - 33422 + 33422)*(2*z - z + 0*z) + 2*z**2 + 2 - 2)*(4 - 1 - 1)*(-z - 4*z + 3*z). 1032*z**3 Expand (-66*u**2 + 16*u**3 + 66*u**2)*(-6 + 10 + 5 + 3 - 2 - 2 - 2 - 2 + 1 + (3 - 4 - 1)*(-1 - 3 + 2)). 144*u**3 Expand (2 - 2 + 1)*(0 + 0 - f**2) - 16*f**2 - 28*f**2 - 34*f**2 + 0*f**2 + f**2 + 0*f**2 - 2*f - 1 + 5*f + 2*f**2 - 2*f. -76*f**2 + f - 1 Expand -6*f + 4*f**5 - 5638*f**3 + 11 - 5*f**5 + 5640*f**3 + (4 - 3 + 1)*(0*f**4 - 2*f**5 + 0*f**4). -5*f**5 + 2*f**3 - 6*f + 11 Expand (2*g**2 + 0*g**2 - 4*g**2)*(-2 + 1 - 1) + 78*g - 48*g**2 - 78*g + 4 - 4 - 2*g**2. -46*g**2 Expand (-60*a**2 - 1956*a + 1956*a)*(-20 - 21 + 36) - 4*a**2 + 2*a**2 + 3*a**2. 301*a**2 Expand (3*x - 2 + 1 + 0*x)*((x - 2*x + 2*x)*(5*x - 4*x + x) + 0 + 0 + 3*x**2 + (-16 + 16*x + 16)*(-4*x - x + x)). -177*x**3 + 59*x**2 Expand (-4*c - 4*c - 4*c)*(-2 - 1 + 2)*(3*c - 4*c - c)*(-4*c + 0*c + 3*c)*(-36 - 12 - 69*c + 67*c). -48*c**4 - 1152*c**3 Expand ((0 + 4 - 3)*(-7 + 3 + 2) - 5 + 0 + 3)*(3613*k**2 + 25*k - 49*k + 24*k). -14452*k**2 Expand (-5*y + 0*y + 4*y)*(-3 - 1 + 6)*(-28986*y - 3179*y**2 + 28986*y). 6358*y**3 Expand (0 + 0 + 1)*(b**2 - 2*b**2 + 0*b**2) + 163*b**2 - 2*b - 57 + 161*b**2 - 326*b**2. -3*b**2 - 2*b - 57 Expand l**4 + 5*l**4 - 4*l**4 + (0*l + 0*l - 2*l)*(6874 - 62*l - 6874)*(-91 + 3*l**2 + 91). 374*l**4 Expand (-37789 + 37789 - 364*r)*(r - 3*r + r). 364*r**2 Expand (-9240 + 9240 + 141*z)*((0 + 3 - 5)*(-z**2 + z**2 - 2*z**2) - z**2 - z**2 - z**2). 141*z**3 Expand (-1 + 63769*z**2 - 31903*z**2 - 32037*z**2)*(-2*z + z + 0*z). 171*z**3 + z Expand (6 + 73 - 1)*(-w**2 + 4*w**2 - 2*w**2) + (-46 + 3*w + 46)*(w - 2*w - 2*w). 69*w**2 Expand 3*z**5 + 0 + 0 - 21*z**5 + z**5 + z**5 + (-4*z**2 + 3*z**2 + 0*z**2)*(2*z**3 + 0*z**2 + 0*z**2) - 11771*z**3 + 11771*z**3 - 66*z**5. -84*z**5 Expand (361 - 2806 + 876)*(-2*t**3 + 4*t - 4*t - 2*t**3 - 2*t**3 + 2*t**3 + (-t + t - 2*t)*(0*t**2 + 2*t**2 + 0*t**2) + (-6 + 5 + 2)*(t**3 - t**3 + 2*t**3)). 9414*t**3 Expand (3*r**3 - 2*r**3 + 0*r**3)*((-1 + 2 + 1)*(3 + 0 - 1) + (1 + 3 - 2)*(-59 + 4 - 14))*(r - 3*r + r) + 3*r**4 - 4*r**3 + 4*r**3. 137*r**4 Expand (-292 - 329 + 680)*(-h + h - 2*h)*(-h - h - h). 354*h**2 Expand ((-2 - 1 + 2)*(-k + 4 - 4) - 4*k + 3*k + 3*k + 5*k + 2*k - 3*k)*(2 - 4 + 66). 448*k Expand (8 - 13*n**2 - 176025*n + 176025*n + (0*n + n + 0*n)*(0*n + n - 2*n) + 0*n**2 - 6*n**2 + 3*n**2)*(0*n**2 - 2*n**2 - 2*n**2). 68*n**4 - 32*n**2 Expand (-10047*p + 2 + 9428*p + 0)*(-4 + 4 - 3*p)*(-3 + 3 + 2). 3714*p**2 - 1
{ "pile_set_name": "DM Mathematics" }
s, -4*a = -3*l - 4. Does 12 divide (9/l)/(3/16)? True Let w(m) = -m**2 + 5*m + 8. Let u = 16 - 9. Let a be w(u). Does 11 divide (-3)/a*1*44? True Let u(l) = l**3 - l**2 - 4*l - 4. Is u(4) a multiple of 14? True Is 16 a factor of ((-133)/(-14))/((-1)/(-2))? False Suppose -t = t - 6. Suppose -5*g - 4*f = -126, -t*g + 2*f + 78 + 2 = 0. Suppose -1 = -n + g. Does 8 divide n? False Let o = 4 + -2. Suppose o*u + 1 = 7. Does 2 divide u? False Suppose -4*z + 4*w - 20 = 0, 2*z = -2*w + 8 - 2. Let k(i) = -5*i. Is k(z) a multiple of 3? False Let c(l) = l + 15. Is c(9) a multiple of 8? True Does 21 divide 82 + (4/(-1))/(-2)? True Suppose 3*u - 10 = -2*k, -u - u = -4*k + 36. Is k a multiple of 4? True Suppose -3*o + 4*o - 36 = 0. Let g = 106 - o. Suppose -g = -2*r - 3*r. Is r a multiple of 5? False Suppose 0 = 3*h + 2*y - 374, 4*h - h - 5*y = 409. Does 32 divide h? True Let g(t) = -4*t + 1. Suppose -b + 3*b - 3*c = 3, -2*c = -3*b - 8. Does 19 divide g(b)? False Suppose -7*f = 16 - 93. Does 5 divide f? False Does 16 divide -2 + 101 - 4*1? False Let p(i) = i**2 + 2*i - 3. Let w be p(2). Suppose -3*l - 2*v = -5*l + 116, w*l - 2*v = 287. Is l a multiple of 19? True Let k(s) = s**3 - 5*s**2 + s - 3. Let y be k(5). Suppose -y*d - 4 = -3*d. Suppose -2*z + 14 = -4*j - 12, -d*j - 65 = -5*z. Does 13 divide z? True Suppose 4*j = -8, 3*j = -4*m - 0*j + 6. Let g(s) = 3*s - 4. Let n be g(m). Suppose 2*v + 3*v + 25 = 0, -n*v = -4*x + 61. Does 6 divide x? False Suppose -2*t - 58 = -2*y, 0 = 2*y + 2*t - 6 - 72. Does 17 divide ((-1)/2)/((-1)/y)? True Let c(x) = x**2 - 3*x + 2. Let f be c(2). Suppose -2*y + 3*y - 22 = f. Does 7 divide y? False Let u = -7 - -5. Let d be (u + 1)*-1*104. Suppose -2*y - 5*l + 100 = 0, 3*y = 2*l + 2*l + d. Does 20 divide y? True Let d(i) = -7*i - 4. Is d(-3) a multiple of 2? False Let h(a) = -a**3 + 4*a**2 + 6*a - 7. Let k be h(5). Let t be (-1)/4 - k/8. Suppose t = -2*q + 4 + 16. Is 9 a factor of q? False Let i(q) = 39*q**2 - 2*q + 1. Suppose 0 = -4*y + 3 + 1. Suppose -4*k = -r - 7, -y = -3*k - 3*r - 7. Does 19 divide i(k)? True Is 5 a factor of 27/(-6)*10/(-5)? False Let u = -13 - -13. Is 3 a factor of u + (-1 - -2 - -12)? False Let s = 45 - 20. Suppose 0*i - 5*i = s. Let y(h) = -4*h + 6. Is y(i) a multiple of 17? False Suppose -1 = w + x + 12, -5*w = 3*x + 71. Is -4*1/w*52 a multiple of 3? False Let w(t) = -3*t + 7. Let s be w(3). Does 21 divide ((-7)/2)/(s/36)? True Let j(m) = -65*m**3 - 2*m**2 - 3*m - 2. Let g = -22 + 21. Is 16 a factor of j(g)? True Suppose -2*s - 297 = -65. Suppose -5*p + 830 = 5*f, 3*f - 2*p - 530 = 3*p. Let g = f + s. Is 18 a factor of g? True Let o(j) = 22*j - 10. Is o(5) a multiple of 25? True Let c = -5 + 4. Let u be (c/(-2))/(2/12). Suppose -q - 28 = -u*q. Is 4 a factor of q? False Let a be 2/(-12) + (-25)/30. Is (-234)/(-24) - a/4 a multiple of 5? True Let t be (-6)/(-1 - (-332)/344). Suppose 56 = 4*s - t. Is 16 a factor of s? False Let s(z) = z**2 + 6*z - 2. Is 13 a factor of s(5)? False Let i(w) = 3*w. Let m(o) = 4*o. Let p(c) = 6*i(c) - 4*m(c). Let n be p(-3). Let d = 3 - n. Does 6 divide d? False Suppose -2*x = -3*x + 7. Suppose -h + x = 5*f - 5, -4*f = -2*h + 80. Is 12 a factor of h? False Let a = -6 + 11. Suppose 3*p = -5*c - p + 45, -p = -2*c + a. Suppose m = 12 - c. Is 7 a factor of m? True Let a = -11 + 16. Suppose -f + 8 = a. Does 3 divide f? True Let k = 79 + 121. Is k a multiple of 50? True Let o(l) = l**3 + 5*l**2 - 10*l + 4. Let r be o(-8). Let k be 0/1 + r/3. Let a = k - -50. Does 7 divide a? True Suppose -2*s = w - 46, -w + 4*s + 168 = 2*w. Does 17 divide w? False Let d(p) = -p**2 + 5*p - 1. Let s be d(5). Let g = s + 3. Is g + -1*(2 - 29) a multiple of 12? False Suppose 3*h = 2*h + 10. Is h a multiple of 10? True Suppose 2*h - 24 = -3*r, -h - 3*r + 48 = 3*h. Is 6 a factor of 1/((-22)/h - -2)? True Let y(k) = -k**3 - 8*k**2 - 10*k + 3. Let m be y(-7). Is 5 a factor of (-8)/(-2 + m/15)? True Let v = 11 - 8. Does 3 divide (v*1)/(4/12)? True Suppose 4*a - 1 = 27. Suppose u + 4 = a*b - 3*b, b + 5*u = 22. Suppose -19 = -3*c - b*k + 45, c - 28 = -2*k. Is 8 a factor of c? False Let y be -2*(3 - -78)/(-3). Let q = y + -36. Does 16 divide 12*3/q*16? True Suppose q = 3*t + 4, -2*q - 4*t = -1 - 7. Suppose q*o - 26 = -4*b + 2, 2*b = -o + 12. Is 10 a factor of b/(-1) + 2 - -15? False Let i(h) = h**3 + 8*h**2 - 3*h - 2. Suppose -u = 2*u + 24. Does 11 divide i(u)? True Let l(z) = z + 5. Let v be l(-5). Suppose 4*k + a + 0*a - 34 = v, 3*k - 4*a = 16. Is 4 a factor of k? True Let g = 0 - -4. Suppose -5*l + 414 = -g*b, -3*l - 2*b + 242 = -6*b. Is l a multiple of 28? False Suppose -4*i + z + 16 = 0, 5*i + 2*z = -z + 37. Suppose -4*f = -2*l - 14 + 4, 25 = -f - i*l. Let h = 19 + f. Is h a multiple of 19? True Let o(i) be the second derivative of 3*i**5/10 - i**4/4 + i**2/2 - i. Is 15 a factor of o(2)? False Let z = -8 + -1. Let c be 3/(z/6) - -19. Suppose c = n - 7. Is n a multiple of 9? False Let a be (44/(-55))/(2/(-10)). Is 27 a factor of (27*-2)/(-5 + a)? True Let n = 57 - 26. Is 3 a factor of n? False Let u = 214 + -88. Is u a multiple of 27? False Suppose 3*t - 28 - 11 = 0. Let d = 35 - t. Is 14 a factor of d? False Let r be -8 + 10 - (-8)/2. Suppose -9 = -5*p + r. Does 2 divide p? False Let j = 129 + -64. Is j a multiple of 13? True Suppose -4*a = 3*w - 106, -w - 5*a + a + 30 = 0. Does 11 divide w? False Let s = 145 + -79. Is 33 a factor of s? True Suppose 4 = 2*k + 2*k. Suppose 3*u - 22 = -k. Is u a multiple of 6? False Let b(j) = -2*j**3 - 1. Let d be b(-1). Let k = d - -3. Is 2 a factor of k? True Suppose 5*w = w + 8. Let l = 193 + -103. Suppose 2*u + 5*p - 105 = -2*u, 4*u + w*p - l = 0. Is u a multiple of 20? True Is 13 a factor of 14 + -2 + (-1 - -3)? False Let g(q) be the first derivative of q**4/4 + 8*q**3/3 - 3*q**2/2 + 7*q + 2. Is 19 a factor of g(-8)? False Let r(u) = 98*u**3 + 2*u - 2. Does 14 divide r(1)? True Let n(y) = 2*y - 6. Let l = 67 + -27. Suppose 0 = 4*h - 4*q - 24, 4*h = -h - 5*q + l. Does 4 divide n(h)? True Suppose x = -4*u + 25, x - 15 = 3*x - 5*u. Suppose v - g - 5 = 0, g - x = -3*v - 2. Suppose -r + 3*b = r - 62, 2*r + v*b = 52. Does 14 divide r? True Let u = 3 - 11. Let a = -5 - u. Suppose -n + 28 = a*n - 4*i, -2*i - 8 = 0. Is n a multiple of 2? False Suppose -18 = -2*w - 2*z, -3*w - 2*z + 32 = w. Suppose -2*u = -w + 19. Is u/(-15) - (-226)/10 a multiple of 8? False Suppose -2*g + 53 - 201 = 2*k, 2*k - 4*g = -166. Is 7 a factor of 22/k + 184/7? False Let w(l) be the first derivative of l**4/4 - l**3/3 - l**2/2 + 2*l - 3. Let i be w(2). Suppose i*k - 4 = 0, -3 = 2*o + 2*k - 49. Is o a multiple of 12? False Is 9 a factor of (2/((6/(-219))/1))/(-1)? False Suppose -a + 13 = v - 26, a + 5*v = 39. Let c = -22 + a. Is 14 a factor of c? False Let f = 8 - 5. Let d = f + 7. Is d a multiple of 9? False Suppose 242 = f - 33. Is f a multiple of 25? True Is (-37)/(-7) + 10/(-35) a multiple of 2? False Let p = 2 - 3. Let u(r) = -56*r**3 + r**2 - 1. Is u(p) a multiple of 14? True Let k = -19 - -37. Is 6 a factor of k? True Let h(t) = -t + 4. Let c be h(4). Suppose c = 3*m - 4 - 2. Suppose -2*x = -4*l + 4, -3*l = m*l - 2*x - 7. Is l even? False Is (-10)/(-3)*(-6)/(-2) a multiple of 10? True Suppose 0 = -4*h + 12. Suppose 0 - 6 = -h*r. Suppose -30 = q - 4*q + 4*v, r*q - 3*v = 21. Is q a multiple of 6? True Let d(k) = 8*k + 10. Let c be d(-7). Let g be (6 - 2) + -2 - 28. Let a = g - c. Is 10 a factor of a? True Let w = 5 + 114. Let z = -71 + w. Does 13 divide z? False Suppose 2*r - 19 = r. Suppose 4*h + z = -43, -z + 5*z - 38 = 5*h. Let a = h + r. Does 4 divide a? False Let y = -36 + -36. Let o = 125 + y. Is o a multiple of 32? False Suppose -51 - 234 = -5*k. Let z be (-1)/(-2 - k/(-30)). Let i = z - 2. Is i a multiple of 8? True Suppose 213 = -2*p + 5*p. Suppose 2*k - 38 = -0*k + 2*n, 0 = -4*k + 3*n + p. Is 14 a factor of k? True Let l = -3 + -1. Does 15 divide ((-40)/6)/(l/18)? True Let a = 678 - 483. Is 15 a factor of a? True Suppose 2*b = 4*i + 126, -4*i - 114 = b + b. Let u = -18 - i. Is u a multiple of 6? True Let s = 191 - 74. Is 39 a factor of s? True Let q be 1984/14 + 6/21. Suppose 3*w - q = m, -25 = -w - m + 17. Suppose -4*c + w = -l - 94, 0 = c + 5*l - 56. Is c a multiple of 15? False Sup
{ "pile_set_name": "DM Mathematics" }
) Simplify ((s**(-2/7)/s)/s**4)/(s**9*s**(-1/3)) assuming s is positive. s**(-293/21) Simplify p**(-6)/p*p*p**(-3)/p*(((p/((p**(4/11)/p*p)/p))/p)/p)/(p**(-1/4)/p) assuming p is positive. p**(-401/44) Simplify ((k*k**(-5)/k)/(k/(k/(k/(k/((k**(2/3)/k)/k*k)))))*(k**(1/3)/k)**21)**(11/6) assuming k is positive. k**(-308/9) Simplify (((c**(-36)/c)/c)/((c**(-1)/c)/c))**(1/3) assuming c is positive. c**(-35/3) Simplify (o**3)**(-19/2)/(o**(-5))**(4/5) assuming o is positive. o**(-49/2) Simplify (x/x**(-2))**(21/2)*(x/(x**3/x))**(-16) assuming x is positive. x**(95/2) Simplify (u**(2/15)*u/(u/((u*(u/((u**(-1/8)/u)/u))/u)/u*u))*u)/((u/(u/(u*(u**(-7)/u*u)/u)))/(u**(-2)/u)) assuming u is positive. u**(991/120) Simplify (i**(2/21)*i*i)/(i*i*i/(i/(i**(-4)*i)))*(i*i**(-2)/i*i*i*i)**(-2/95) assuming i is positive. i**(6133/1995) Simplify (s/s**2)**8*(s*s**(14/5)*s*s)/s*s**3/s assuming s is positive. s**(-6/5) Simplify ((j**(12/11)*(j/(j*j**(-1)*j))/j)**(-2/45))**(-45) assuming j is positive. j**(2/11) Simplify ((s*s**(-14)*s)/s)/s**(3/2)*(s**(-1))**(-1/13) assuming s is positive. s**(-375/26) Simplify (((a*a/((a**(2/15)/a*a)/a)*a*a)/a)/a**(2/7))/(a**(-2/39)/a*a*a/a**(-15)*a) assuming a is positive. a**(-18247/1365) Simplify z*z**0*z**(-9)*z**(-3)*z/(z**(-5/2)/z)*z assuming z is positive. z**(-11/2) Simplify (l*l/(l**(2/15)/l)*l*l*l/(((l*l**12*l)/l)/l))/(l*l/(l**(3/8)/l)*l**(-1/21)) assuming l is positive. l**(-2439/280) Simplify ((r*(r**(2/17)/r)/r)**(-2/91))**(-3/5) assuming r is positive. r**(-18/1547) Simplify (q**4)**6/(q/((q*q*(q/(q*q*q*(q*q**(-12)*q)/q))/q*q*q*q*q)/q*q*q)*q*q**9*q*q) assuming q is positive. q**26 Simplify j**(-8)/j**(1/15)*(j*j**(2/7)*j)**(2/97) assuming j is positive. j**(-81679/10185) Simplify (y**(-25)/((y*y**(-9)*y)/y))/((y*(y/(y*y**25*y*y))/y*y)/(y**6*y)) assuming y is positive. y**16 Simplify (u/(u/(u/(u/((u/u**(2/5))/u*u)))))/u*u*u**(-8)*(u**(-8)*u*u)/u**10 assuming u is positive. u**(-117/5) Simplify (d**6*d)/(d*d**(4/9))*(d**(-9)/d)/d**10 assuming d is positive. d**(-130/9) Simplify (h/((h/(h*h/((h*h*h*h**1/h*h)/h)))/h))**19/(h**(-12)*h/(h/(h/h**5))*h) assuming h is positive. h**15 Simplify (t**(1/6)*t**(-1/24))**(2/53) assuming t is positive. t**(1/212) Simplify (h**(-3/4)*h**3*h/(h*h/h**1)*h*h**5)**(-20) assuming h is positive. h**(-165) Simplify (((o**(2/9)/o*o)/o)/o)**(-3/10)/(o/(o*o**12*o))**47 assuming o is positive. o**(9173/15) Simplify (p*p**(-6))**(4/9)*p**(-16)*p*p**27/p*p assuming p is positive. p**(88/9) Simplify ((y/(y*y*y**(1/14)*y)*y)**1)**(-35/6) assuming y is positive. y**(25/4) Simplify ((l**(-7)*l)/l**(3/5)*(l/l**(-2/5)*l)/(l*l**7*l))**46 assuming l is positive. l**(-3036/5) Simplify x**16/(x**10*x)*(x*x*x*x*(x**(9/7)/x)/x)/x**(4/9) assuming x is positive. x**(494/63) Simplify (b*b*b*b/(b*(b*b**5)/b)*b*b)**(-15)/(b*b**(1/12))**36 assuming b is positive. b**(-39) Simplify (d**(-6/7)/d*d)**(-17/6)*d**26/(((d**(-11)/d)/d)/d) assuming d is positive. d**(297/7) Simplify n**(-2/15)/(n**(5/6)*n)*(n/(n**(-14/9)*n))**(1/50) assuming n is positive. n**(-871/450) Simplify (((j**7/j)/j*j)/((j*j**(-6)*j)/j)*(j/j**2)/(j**(3/7)*j))**23 assuming j is positive. j**(1380/7) Simplify (h**(2/23)/(h/(h/(h/h**2)*h))*(h/h**(-3))/h*(h**(-1/7)/h)/h)**14 assuming h is positive. h**(948/23) Simplify ((d*d**(-2/7)*d)/((d**(-25)*d)/d))/(d**(-2/57)*d)**(-23) assuming d is positive. d**(19514/399) Simplify w**(-4)*w/w**(4/17)*(w/(w*(w**(2/5)/w)/w*w*w))/(w*(w*w**4*w)/w) assuming w is positive. w**(-819/85) Simplify ((b/b**2)/b)**13/(b/b**(-1))**(-20/11) assuming b is positive. b**(-246/11) Simplify (((h*h/((h/(h/h**(-6))*h)/h)*h)/h)/h*h*h/(h/(h*h**(2/7))))/((h*h**(-12)/h*h*h)/((h*h*h*h**25*h*h)/h)) assuming h is positive. h**(338/7) Simplify ((p**5/(p/p**6))/(p**(-6)/p*p**5))**(-5) assuming p is positive. p**(-60) Simplify p*p**41*p*p*p*(p*p/p**(-9)*p)/p*p**(-28)*p/(p*(p/p**(3/20))/p) assuming p is positive. p**(563/20) Simplify (y*y**(3/2))**50/(y**(-2/13)*y**12*y) assuming y is positive. y**(1458/13) Simplify ((l/(l*(l*l**(2/43))/l)*l)/l)/(l*l*l/(((l*l**(-6)*l)/l)/l)*l)*l/(l*l**(1/6)*l)*l/l**(-8)*l assuming l is positive. l**(-313/258) Simplify ((j**(-23/2))**(-2/7))**38 assuming j is positive. j**(874/7) Simplify (f**5)**(-5/3)/(f*f*f**(-15)/f*f/(f/(((f/(f*f**3))/f)/f)*f*f)) assuming f is positive. f**(38/3) Simplify (r/r**(-3))**(8/5)*((r*r**(-2/13))/r)/((r*(r/((r/(r/(r**17/r)))/r))/r*r)/r) assuming r is positive. r**(1316/65) Simplify (((z**(3/10)/z*z)/z**(-1))/(z*z/(z/((z**(-1/3)/z)/z)*z)*z*z*z*z*(z/(z/((z*z**(1/18))/z)*z*z))/z*z))**(2/7) assuming z is positive. z**(142/315) Simplify (z**(2/31)/z**(3/20))**(-45) assuming z is positive. z**(477/124) Simplify (r**(-3/5))**(-27)*r**2*r*r/r**0 assuming r is positive. r**(101/5) Simplify (v**5/v)**(-32)/(v**(-8)*v**(-2/3)/v) assuming v is positive. v**(-355/3) Simplify ((f*f**(3/4))/f**(-3/10))/((f**(-4/17)*f)/f**(-10/7)) assuming f is positive. f**(-341/2380) Simplify ((o/o**(-2/7)*o)/(o**(2/9)/o)*(o*o**(-1/7))/o**(-3))**(-15/8) assuming o is positive. o**(-545/42) Simplify (k/k**(2/21))**(1/23)/(k**(-2/7))**(-2/27) assuming k is positive. k**(79/4347) Simplify m**3/(m/(m**(1/19)*m))*(m/((m/(m**(-5)*m))/m))/(m*m/((m/(m/(m**(2/15)*m)))/m*m*m)*m) assuming m is positive. m**(-232/285) Simplify ((j**28*j**9)**(-11/5))**(-3) assuming j is positive. j**(1221/5) Simplify ((v**(-3/8)*v)/v**(6/11)*v**(-2)*v/(v/(v*v/(v**3*v)*v)*v*v))**12 assuming v is positive. v**(-1299/22) Simplify (v/(v/(v*(v**(-1/2)/v)/v)))**(-3/5)*v**(-21)/v*(v*v**(-1/12))/v assuming v is positive. v**(-1271/60) Simplify (g/g**7)/((g**14/g)/g)*g/(g/g**(-2/55))*g/(g*g/g**(1/4)) assuming g is positive. g**(-4133/220) Simplify (t**9)**(-5/7)/(t**(1/14)*t)**(-6/25) assuming t is positive. t**(-216/35) Simplify ((g*g**(-1/4))/(g*g**(-2/3)))/(g**(-3)*g**(1/2)) assuming g is positive. g**(35/12) Simplify (c*c/((c*c**3*c)/c)*c)**(-44)/(((c/(c**3*c*c*c))/c*c)/c)**37 assuming c is positive. c**266 Simplify ((d*d**0*d*d)/((d**(5/3)/d*d)/d))/((d/((d/(d*d**(-6)/d*d*d))/d))/d**(-2/41)) assuming d is positive. d**(650/123) Simplify ((m/(m*m**(-3/8))*m)/(m*m**(-2)*m))/(((m/(m*m**(-14)))/m)/m*m**(-27)) assuming m is positive. m**(131/8) Simplify (m**1)**28*(m/(m/((m/((m/(m**(-15)*m))/m)*m)/m)))/m**(-1/28) assuming m is positive. m**(421/28) Simplify ((f*f**(2/3)/f*f)/f**(-2/33))/((f/f**(-6))/f**(-1/5)) assuming f is positive. f**(-301/55) Simplify ((z**(-2)*z**(-9)/z)/(z**(1/13)/z*z**11))**25 assuming z is positive. z**(-7175/13) Simplify ((h*h**(1/16)/h*h)/h**(2/19))/(h**2)**11 assuming h is positive. h**(-6397/304) Simplify ((y**(-22/7)/y)**(-7/3))**(4/37) assuming y is positive. y**(116/111) Simplify ((x**(-2/47))**(-5))**(8/11) assuming x is positive. x**(80/517) Simplify ((n**(-22)/n)/(n/(n*n**1)))/(n**(-9)*n)**(3/13) assuming n is positive. n**(-262/13) Simplify (((j*j*j**(-5/6)*j*j*j)/j)**(2/195))**15 assuming j is positive. j**(19/39) Simplify ((r**0/r)**(-8)/((((r/((r*r**(1/3)/r)/r))/r)/r)/r**(-2/31)))**(-1/17) assuming r is positive. r**(-769/1581) Simplify ((g**(1/7)*g)/g**(4/11))**(-47) assuming g is positive. g**(-2820/77) Simplify n**(1/44)/(n*n*n**28/n)*(n**(3/7))**(12/7) assuming n is positive. n**(-60891/2156) Simplify ((j**(-1/4)*j*j**(3/2)*j)**(-29))**(-2/71) assuming j is positive. j**(377/142) Simplify ((a/a**(-18))/(a/(a/(a/a**(-4/3)))))/(a/a**(2/5)*a*a**17) assuming a is positive. a**(-29/15) Simplify (y**(-22)*(y/y**(-20))/y*y)/((y*y*y**(-15/8)*y*y)/(y/y**(-3/4)*y)) assuming y is positive. y**(-3/8) Simplify (w/(w/(w**17/w)))/((w**(-5)/w)/w)*w**(-1/4)*w**(-2/41) assuming w is positive. w**(3723/164) Simplify (w**(2/37))**30*(w**(-29)*w)/(w/((w*w/(w**(-18)*w))/w)) assuming w is positive. w**(-347/37) Simplify (g*g**20)/(g*g/g**(2/11))*g**(-21)*(g**(2/29)/g)/g assuming g is positive. g**(-1196/319) Simplify (v**(-8))**(3/8)*v**(3/8)*v*v**21 assuming v is positive. v**(155/8) Simplify ((((n/n**(-2/5))/n*n)/(n*n**(-1)))/(n**(-3)*n**(-1/2)))**(-4/7) assuming n is positive. n**(-14/5) Simplify ((d/(d**(-3)*d))/(d*d/d**(-3/23)))/(((d/d**(2/17)*d*d)/d)/d*d*(d**11/d)/d) assuming d is positive. d**(-3915/391) Simplify (p*p/(p**2/p))**(-19)*((p/((p/((p*p/(p*(p/(p*p*p**1*p*p*p*p)*p)/p)*p*p)/p*p))/p)*p*p*p)/p)**(-39) assuming
{ "pile_set_name": "DM Mathematics" }
in descending order. 8, u, -0.2, -3/5 Let d be (-12)/10 - (-496)/80. Sort 0, -12, 4, d. -12, 0, 4, d Let k = -69 - -69.0056. Let u = k - -0.0944. Sort -3, 3/7, u in descending order. 3/7, u, -3 Let v = 20.3 + -171.3. Let x = v + 143. Sort 3/5, x, 2 in decreasing order. 2, 3/5, x Let c = 35 - 32. Let a be (-3)/4*(-8)/c. Let q be ((-27)/(-6))/3*a. Put q, 0, 5 in decreasing order. 5, q, 0 Let r = -552 + 561. Let a be (-112)/35 + (4 + 2)/2. Put r, a, 3 in increasing order. a, 3, r Let a be ((-33)/22)/((-255)/(-136)). Put -60, 3, 1, a in increasing order. -60, a, 1, 3 Let k = -5596 + 5608. Sort -1, k, -5, -3. -5, -3, -1, k Let y = -1088/55 - -211/11. Sort y, -2/15, -16/9, -1. -16/9, -1, y, -2/15 Let o = -0.389 + 0.189. Let b = 10.45 + -10.05. Sort -5, b, -0.06, o. -5, o, -0.06, b Suppose -2*n + 3*n - 11 = 0. Let y = 12 - n. Let c = 0.018 + 0.082. Put c, -8/7, y in ascending order. -8/7, c, y Let n(h) = 3*h**3 + 9*h**2 + 3*h + 1. Let z be n(-3). Let d be 502/z + (5 + -6 - -1). Let f = -63 - d. Put f, -30, 5 in increasing order. -30, f, 5 Let r = -1315.4 - -1332.4. Sort -4, r, -4/7, 3/7, 2 in decreasing order. r, 2, 3/7, -4/7, -4 Let z = -14759/66456 + -1/7384. Sort z, -0.067, 5, -5, -2/7. -5, -2/7, z, -0.067, 5 Let i = -18930 - -18932. Sort 3, -7/123, i in ascending order. -7/123, i, 3 Suppose 477 = 736*w - 259*w. Sort 3/4, 14/3, -7, w in decreasing order. 14/3, w, 3/4, -7 Let n = -29660 - -29660.4. Put -2, n, -392 in increasing order. -392, -2, n Suppose -2*c + 3*k + 17 = 0, -5*k = -3*c - 582 + 611. Sort -1, 5, -4, c, 71 in decreasing order. 71, 5, -1, c, -4 Let u = -28.1 + 38. Let j = 0.1 + u. Let f be (29/(-16) - -2)*(-3092)/2319. Sort j, f, -2 in ascending order. -2, f, j Let g be (-50)/75*9/(-2). Let d be (-6)/(-21) - 1952/(-28). Suppose 4*x = -2*b + 2, 5*b + d = x + 4*x. Put b, -1, g in descending order. g, -1, b Suppose -6 - 22 = 4*i. Let a(c) = -6*c + 1. Let z be a(1). Suppose 456 = -218*w - 10*w. Put i, w, 0, z in increasing order. i, z, w, 0 Let l = -187.62 - -192. Let a = l - 2.38. Sort -2/9, a, -3, 24 in increasing order. -3, -2/9, a, 24 Let a(q) = 2*q**3 - q**2 - q - 1. Let l be a(-1). Let b = -2120 - -2143. Put b, l, 2 in descending order. b, 2, l Let k = -63.83 + 62.73. Sort k, 2, 1/2, 0.1, 4. k, 0.1, 1/2, 2, 4 Let u = -18022.9 - -18821. Let q = u + -798. Sort -4, q, -0.03. -4, -0.03, q Let j = 9.8694 + 0.1306. Let b = 226 + -227. Let r = -0.1 - 4.9. Sort j, b, 4, r. r, b, 4, j Let g be (-12 - -2)*(-28)/35. Let j = g + -6. Let i = -5 - -5. Sort 4, 11, i, j in decreasing order. 11, 4, j, i Let n = -3 + 9. Let v be 1/n + (36/(-8) - -5). Sort v, -3/7, -22, 3/4 in increasing order. -22, -3/7, v, 3/4 Let l be (2/7 + (-439)/(-7))*(-199)/597. Sort l, -6, 1, -5. l, -6, -5, 1 Let j = -30 - -34. Suppose -46 - 6 = -j*w. Let i = 89 + -622/7. Put -5, w, i in ascending order. -5, i, w Let p(n) = 88*n + 1204. Let u be p(-14). Sort u, 1, 3/62 in descending order. 1, 3/62, u Let p = 83 + -79. Let i = 0 - p. Put -0.2, i, -7/4, -0.5 in decreasing order. -0.2, -0.5, -7/4, i Let c = -116/3 - -38. Let u = 43/204 + 2/51. Let i = -1817 - -1812. Put i, c, -2/9, u in descending order. u, -2/9, c, i Let f = 0.4 - 0.4. Let h = -5 - f. Put -0.2, h, -36 in decreasing order. -0.2, h, -36 Let c be 12/(-9)*45/6. Let f = 14 + c. Let u(w) = 3*w**3 - 9*w**2 + 11*w - 3. Let b be u(2). Put 2, b, f in ascending order. 2, f, b Let n = 176600 - 176595. Let g(m) = 4*m**2 + m. Let v be g(1). Suppose -3*a = v*c - 2, -c = -6*c + a - 14. Sort c, n, -1 in descending order. n, -1, c Let f = 54 + -58. Let s be 3 - (-6)/f - 14/12. Let i = 4.6 + -0.6. Put s, -2/15, i in decreasing order. i, s, -2/15 Let y = 6099 - 6102. Sort 30, -3/5, y, 3, 5. y, -3/5, 3, 5, 30 Let w = 2285 + -2120. Sort w, 5, -1 in decreasing order. w, 5, -1 Let c = -0.3852 + 0.5852. Put 5, -2, 1/9, 15, c in increasing order. -2, 1/9, c, 5, 15 Let i be ((-6)/2)/3 - 0. Let f(y) = 5*y**2 - y - 1. Let l be f(i). Let s = 160 - 174. Put s, -5, l in descending order. l, -5, s Suppose 242*j - 241*j + y = -6, 0 = -2*j + 2*y. Put -12, -6, j, -1 in descending order. -1, j, -6, -12 Let r = 0 + 1. Let x be (-1078)/(-21) - 2/(-3). Let b = x + -52. Put r, b, -5 in ascending order. -5, b, r Let r = 0.02615 + 3.97385. Let l be (-1 - 4) + (1 - 0). Sort 2/15, 5, r, l in decreasing order. 5, r, 2/15, l Let t be 0/(8 + -12 - -1) + (-6)/(-4). Let q = 0.6 + -5.6. Put t, 43, q in ascending order. q, t, 43 Let v be (-33216)/40 + -6 + 2*-2. Let u = v - -839. Put u, 4, -1/4, 2 in descending order. 4, 2, -1/4, u Let f = 39 + -34. Suppose 2*g + 6 = 0, -f*g + 1 = 3*k - 5. Let h = -7 + 5. Sort k, h, 0 in decreasing order. k, 0, h Suppose -4*m + 10 = -l, 4*l - 7*m - 2 = -12*m. Let j(s) = -6*s + 1. Let v be j(1). Put v, 5, 4, l in ascending order. v, l, 4, 5 Let t be 66/(-99)*(-2)/8. Let x = 6.5 + -8. Let q = -1 - x. Put 0, q, 1, t in descending order. 1, q, t, 0 Let b(u) = 30*u + 5. Let m be b(1). Suppose 0 = y - 31 - m. Let r be 5/2*y/55. Put -1, r, 0, 7 in descending order. 7, r, 0, -1 Let j be 18/((-432)/(-156)) - 9/(-6). Put 2, -18, j, 0, 4 in descending order. j, 4, 2, 0, -18 Let y be (-4251)/(-12) + 35/(-140). Sort y, -10, 4/5, 0.4 in decreasing order. y, 4/5, 0.4, -10 Let n = -417 + 1382. Let b = n - 904. Sort -3, 3, b in increasing order. -3, 3, b Let u = -46 - -156. Let n = u + -109. Sort -5, n, -2, 4 in decreasing order. 4, n, -2, -5 Let i = -0.7 + -0.3. Let v = -33943.5 + 33944. Suppose -b + 9 = -0*b - 2*n, 4*b + 3*n - 3 = 0. Put b, i, v, 1/9 in descending order. b, v, 1/9, i Let t(o) = o**2 + 682*o - 2060. Let a be t(3). Let b(x) = x**2 - 6*x + 6. Let m be b(6). Sort m, -3, a, 0 in increasing order. a, -3, 0, m Let d(o) = o**3 + o**2 - o - 7. Let v be d(0). Let n = -138462 - -138458. Sort v, 5, n, -1 in decreasing order. 5, -1, n, v Let r = 13.9 + -14.53. Let a = r + 9.63. Let y = a - 8. Sort y, -2/17, 0.5, 0.4. -2/17, 0.4, 0.5, y Suppose -10*f = -5*k - 15*f - 310, 5*f = -30. Put -1, 2, k, 0, -3 in descending order. 2, 0, -1, -3, k Suppose 35*r + 30 = 4*r + 154. Suppose -3*d + 6*d = 0, -d = 2*v - 26. Let b = v + -8. Sort b, r, 8. r, b, 8 Let n(k) = -2*k**3 - 26*k**2 - 1. Let f be n(-13). Let q be (-2)/8 + (186/(-24) - f). Sort q, 0, 1, -3 in increasing order. q, -3, 0, 1 Let y be (17 - 1)/2 - 2. Suppose 0*u = -4*u - 3*j - 63, 5*j = 5*u + 35. Let b be (4 - (-28)/u)*3. Put b, y, 4 in decreasing order. y, b, 4 Let o = -128 - -290. Let u = o - 162.079. Let d = 42.921 - u. Sort 1, 3, d in decreasing order. d, 3, 1 Let p = -357 + 454. Let y = -71 + -22. Let a = y + p. Put -5/4, a, -1.1 in descending order. a, -1.1, -5/4 Suppose f = -5*z + 8, 3*z = -2*f - 0 + 2. Suppose -11*k + 18 = -z*k. Let s be (-3)/(-18) + (k - 103/42). Put -15, 1, s in decreasing order. 1, s, -15 Let n be (2 - 1)*((-20)/(-1))/(-10). Let m = -32 - -52. Suppose -4*j - 2*q - m = 0, 2*j + 3*q = 3*j - 9. Put j, -27, n, 1 in ascending order. -27, j, n, 1 Let v = 55.98 + 1.52. Let b = v - 7.5. Let a = 47 - b. Sort a, 3, -4/3, -2 in descending order. 3, -4/3, -2, a Let l = -61/12 - -16/3. Suppose -z + 2*v = -3, 3*v + 63 - 72 = -3*z. Put 2/7, -4, z, l in decreasing order. z, 2/7, l, -4 Let k(a) = 10*a + 40. Let w be k(5). Let z = -92 + w. Let c = -4 + 1. Put -0.1, z, c in increasing order. c, z, -0.1 Let w = -30202 + 30200.1. Sort w, 2/5, -1, 0.02, 5. w, -1, 0.02, 2/5, 5 Let d = 14 + -9. Let m(o) = o**3 + o**2 - 10*o - 3. Let w be m(3). Let u be -6 + 6/6 + w. Put -3, u, d in increasing order. -3, u, d Let j be (-1045)/1330 + 9/(-42). Sort 0, 94, j in ascending order. j, 0, 94 Let r = -0.205 + 528.205. Let d = r + -524. Sort -2, d, -6. -6, -2, d Let o = -162.76 - -163. Let a = 47 - 49. Put o, a, 0, 0.2 in descending order. o, 0.2, 0, a Let n be (-96)/6*((-31)/4 + 8). Let u = 17 - 7. Let d = u - 8. Put -0.1, n, d, 3/5 in descending order. d, 3/5, -0.1, n Let m be 0 + 62 + (-11 - -5). Let v be (7/(m/12))/(6/8). Sort -5, 4, v. -5, v, 4 Suppose 5*r = -4*r + 72. Suppose d - 2*d = j, -4*d = 5*j. Suppose -5*g - 4*o + 36 = 0, 0 = 4*g - o - j - 12. Put 0, g, r in ascending order. 0, g, r Let u = 0.00625 - -0.03975. Let b = -4011 + 4016.046. Let s = u - b. Sort s, 0.3, 1, 1/2 in descending order. 1, 1/2, 0.3, s Let a = -2060.02 + 2060. Let w = 0.009 + 0.011. Put 5, w, a, -2 in decreasi
{ "pile_set_name": "DM Mathematics" }
) = s**2 - 59*s + 169. Let d be n(56). Suppose 15 = 3*h - 0. Put h, d, 2 in descending order. h, 2, d Let y = 112 + -116. Sort y, 8, 3 in descending order. 8, 3, y Let c(t) = 41*t + 2. Let l be c(2). Let k be 3/(-12) + (-9)/l. Let x = -67/70 - k. Sort x, -1, -0.3 in decreasing order. -0.3, x, -1 Let z = -87 - -43. Let m be (-1)/(3/(24/z)). Sort m, 0, -2 in descending order. m, 0, -2 Let k be (-26)/(-7) + 6/21. Let t be 4/(-16) + 2/8. Suppose 2*l - 5 + 11 = t. Sort -1, l, k. l, -1, k Suppose -4*f = -6*f - 10. Sort 2/9, f, -1. f, -1, 2/9 Let q = 16/25 - -2/75. Let m = 1/8 - -5/24. Put 4, m, q in ascending order. m, q, 4 Suppose 2*l + 3 = 4*s + 11, -8 = -2*l - 4*s. Let n be (0 + -1)/(l/64). Let g be n/88 + (-3)/44. Sort 2/5, -0.1, g. g, -0.1, 2/5 Let a(t) = t + 1. Let l be a(5). Suppose 0 = 4*v - v - l. Sort 3, v, -4. -4, v, 3 Let r = 0.04 - 0.07. Put -1, -2/5, r in descending order. r, -2/5, -1 Let f = 461 + -8757/19. Put f, -0.14, 0.3 in decreasing order. 0.3, f, -0.14 Let n = -10 - -17. Let c be n/(-7) - (-3 + 0). Let p be (0/(-1))/((-2)/1). Put 4, c, p in descending order. 4, c, p Let r = 4 + -4. Suppose 6 = 2*g - f, 5*g + f - 29 = -r*g. Let j be -1 + -1 + -1 + g. Sort -1, j, 3. -1, j, 3 Let h = 25 + -22. Let l be -2 + h + (-4)/10. Put l, 2, -1 in descending order. 2, l, -1 Suppose 10 = 5*y + 3*s, -23 = -5*y + 3*y - 5*s. Put -0.1, -4/5, y, 1 in increasing order. y, -4/5, -0.1, 1 Let f = -12 + 20. Let u be -8 + f + 1 + 2. Let b be 2/(-2*2/6). Sort u, -4, b in descending order. u, b, -4 Let l = -1 + -2. Let x = -1 + 2. Let a = 0 - x. Sort a, l, 3 in increasing order. l, a, 3 Let y = -30 - -34. Put 0, 1, y in increasing order. 0, 1, y Let x be (-43)/28 + 4/14. Suppose 3*g - 5*b = 14 - 6, -7 = -2*g + 3*b. Let o = g - 8. Put -4, x, o in increasing order. -4, x, o Let x = -2.4 - -0.4. Let g = -18 + 25. Let y = 12 - g. Sort 0.5, x, y. x, 0.5, y Let x = -25/4 - -6. Put -0.1, x, 9, -1 in descending order. 9, -0.1, x, -1 Let r = -3 - -4. Let g(j) = -1 - 8*j + 2 - 4*j**2 - 3 + 4*j - j**3. Let i be g(-2). Put r, -1, i in ascending order. i, -1, r Let s(g) = 0*g + 0*g - 5 - 6*g - g**2. Let p be s(-5). Suppose 3*n + 3 = -p*n. Sort n, 3, -2. -2, n, 3 Let a(y) = -y - 7. Let b be a(-6). Suppose 2*q = -q. Let x = q - b. Put x, 0.3, -5 in increasing order. -5, 0.3, x Let j(q) = q**2 + 12*q - 1. Let w be j(-12). Suppose 2*c + 2*c = 0. Put -4, c, w in decreasing order. c, w, -4 Let a = 2 + -5. Let p = -2.6 - a. Sort p, -4, -1 in decreasing order. p, -1, -4 Let y = -36 - -40. Sort 0, y, 2, -3. -3, 0, 2, y Suppose 5*d - 3*h + 20 = 2*h, -17 = 4*d - 5*h. Let o(t) = t**3 + 3*t**2 + 1. Let n be o(-3). Let f be (n + 1)/(d/6). Sort -1, f, 1 in decreasing order. 1, -1, f Let z be 377/(-117) - 2/(-9). Let m = 2 + z. Put -2/9, m, 1 in decreasing order. 1, -2/9, m Let u = -16 - -19. Sort u, -5, 2 in decreasing order. u, 2, -5 Let c = -0.27 - 0.13. Let s = -3 + 2. Sort c, 5, s in decreasing order. 5, c, s Suppose 15 = 9*g - 4*g. Suppose 0 = 4*m - 7 + g. Let k(p) = -p**2 - 6*p - 4. Let r be k(-6). Put r, 2, m in descending order. 2, m, r Let g = -2.5 - -0.5. Let t be (-30)/(-4)*(-6)/(-9). Sort g, t, 0.1. g, 0.1, t Let s = 0 + 0. Let x be (s - 0 - -2)/(-1). Let r be (8/10)/(x/(-10)). Sort r, 2/5, 0. 0, 2/5, r Let d(q) = 2*q + 7. Let f be d(-5). Put 4, 1, 3, f in increasing order. f, 1, 3, 4 Let s(f) be the second derivative of -f**3/6 + 2*f. Let q(y) = y**2 + 3*y - 1. Let x(c) = -q(c) - 4*s(c). Let u be x(-1). Sort u, -4, 2 in ascending order. -4, u, 2 Let i = -56 - -17. Let h be (4/i)/((-16)/24). Let l be 1/9*15/(-2). Put h, l, 4 in increasing order. l, h, 4 Let l = -0.13 + 2.13. Put 1/2, l, 8/13, -4 in increasing order. -4, 1/2, 8/13, l Let m(o) = -o**3 + 6*o**2 - 3*o - 7. Let z be m(5). Suppose -3*l + 4*d = l - 52, -4*l + 24 = z*d. Sort l, 5, -5 in ascending order. -5, 5, l Let y be ((-12)/14)/(6/1348). Let z be (-2)/(2 - (-573)/(-288)). Let i = y - z. Put 1, -2, i in decreasing order. 1, i, -2 Suppose 0 = -6*n + 3*n + 9. Let y be (1/n)/((-9)/(-27)). Put -9, y, 2 in descending order. 2, y, -9 Suppose 5*n = 11*n. Sort n, -1, 3, -4. -4, -1, n, 3 Suppose 0 = 3*i - 4*j + 21, 5*j = 4*i + 31 - 4. Let v be (-10)/8 + (-7)/(-28). Sort i, 1, v in decreasing order. 1, v, i Suppose -6*d = -3*d + 2*d. Put -0.5, 0.3, d, -2 in ascending order. -2, -0.5, d, 0.3 Suppose -4*y + 295 = y. Let x = 296/5 - y. Let l = 0.7 - 0.4. Put x, l, 4 in ascending order. x, l, 4 Suppose -2 + 0 = n. Let g = n + 3. Let s be (-2)/(-1) - (-1 + 0). Sort s, g, -5 in descending order. s, g, -5 Let o(g) = 2*g - 26. Let w be o(12). Sort -5, -4, w, 5 in ascending order. -5, -4, w, 5 Let s be (-30)/(-7) + 6/(-21). Put s, 2, -3 in descending order. s, 2, -3 Let a(n) = -n. Suppose -1 = -2*p - 9. Let l = p + 5. Let u be a(l). Sort u, -5, -2 in descending order. u, -2, -5 Suppose -4*h + 10 = -3*f - 14, -4*f = -3*h + 25. Put 4/3, h, -5/4 in ascending order. -5/4, 4/3, h Let h = -0.074 + 6.474. Let b = h - 6. Let p = 61 - 185/3. Sort b, p, -5. -5, p, b Let p = -5/24 - -37/24. Put p, 0.2, -0.2, -0.5 in decreasing order. p, 0.2, -0.2, -0.5 Let l be 3*(-2 + (-10)/(-6)). Put l, 2, 1 in ascending order. l, 1, 2 Let w be 2/(-9) + 2/9. Let q = -2 - w. Suppose 2*n = -n - l + 1, -n + 5*l + 27 = 0. Put 3, n, q in increasing order. q, n, 3 Suppose q + 3*c = 5, -3*q - 5*c = -2*q - 11. Sort 4, -1, 2, q in decreasing order. 4, 2, -1, q Let v = 8.3 - 3.3. Sort -0.4, 4, -8, v. -8, -0.4, 4, v Let l = 2.6 + -2.2. Put 2, 0.06, l in decreasing order. 2, l, 0.06 Let g(f) = -6*f - 1. Let o be g(-1). Sort o, -3, 0 in ascending order. -3, 0, o Let g(b) be the first derivative of -b**3/6 + 2*b**2 - 2*b + 3. Let f(y) be the first derivative of g(y). Let r be f(7). Sort r, -0.4, 0 in increasing order. r, -0.4, 0 Let q = -3.5 + 12.3. Let p = -9 + q. Put 1, 0.6, p in decreasing order. 1, 0.6, p Let l = -49 + 54. Sort -1, l, -7. -7, -1, l Suppose 12 = -3*j + 3. Sort 3, j, 0.2 in descending order. 3, 0.2, j Let v be (1/4)/((-116)/412). Let b be 92/(-174) - (-6)/9. Let a = v + b. Put -1, -5/4, a in descending order. a, -1, -5/4 Let b = 0.47 + 0.03. Let g = -0.38 - 0.02. Put b, 3/5, g in decreasing order. 3/5, b, g Let l be 0 + 3*(24/63)/4. Sort l, 3, 1, -1/7 in increasing order. -1/7, l, 1, 3 Let w = 22 + -22. Sort -5, 2, w in descending order. 2, w, -5 Let j = -22 + 48. Let r = 26 - j. Put 3, 4, r in descending order. 4, 3, r Let f = 14 + -14. Let v = f + 0. Sort 6/7, v, -0.1. -0.1, v, 6/7 Let a = -47/6 - -8. Let s be (-4)/14 + (-1)/(-28). Put s, a, 1/4 in ascending order. s, a, 1/4 Let j be (2 + 15/(-9))*3. Sort j, -0.3, -2/9, 0 in ascending order. -0.3, -2/9, 0, j Let q(a) = a**2 + 10*a - 19. Let c be q(-12). Sort -2/15, 0.2, c, -1/3 in descending order. c, 0.2, -2/15, -1/3 Let j = -0.1 - 2.9. Let i = 0 + 1. Put 2, j, i in descending order. 2, i, j Suppose -2*d - 10 = -4*g - 68, -5*g = 3*d - 98. Suppose -1 = 5*f - d. Put 4, 1, f in descending order. f, 4, 1 Let v be (14 + -14)/((-2)/(-1)). Put -4, v, -1 in increasing order. -4, -1, v Let s be (-14)/3 - 14/(-21). Put -1, -2, s, -5 in increasing order. -5, s, -2, -1 Suppose 0 = 2*u - 2. Sort 2, u, -3 in decreasing order. 2, u, -3 Let w = 61 - 59. Sort w, -0.25, 0 in ascending order. -0.25, 0, w Let t(s) = -2*s + 3. Let v be t(4). Sort 0, v, 2, -1. v, -1, 0, 2 Let z(r) = -r**2 + 7*r - 3. Let q be z(5). Let g = -7 + q. Sort -1, g, 1 in increasing order. -1, g, 1 Suppose 6*i = 2*i - 16. Let o(b) = -b + 8. Let k be o(5). Sort i, k, 4 in increasing order. i, k, 4 Let u = -22 - -24. Let m be (-16)/72 + u/9. Sort m, 1, 5 in descending order. 5, 1, m Let x = -0.17 - -6.77. Let i = x + -3.7. Let c = -3 + i. Put -2/3, c, -3 in increasing order. -3, -2/3, c Let p be (6/4)/(2/4). Suppose -f = 4*d - 15, -4*d = -p*d - 3*f - 7. Sort d, 1, 3. 1, 3, d Let r = -101 + 105. Let m = 2 - -2. Suppose -m*t - 3 = -t. Put t, r, -3 in increasing order. -3, t, r Let b be 4/7*63/90. Sort b, -4, -1/7 in decreasing order. b, -1/7, -4 Let c = 7 - 4. Let w = c - 7. Let r = 0 - 0. Sort w, r, 5 in decreasing order. 5, r, w Suppose 0 = 2*a + 1 + 7. Put -5, a, 2 in decreasing order. 2, a, -5 Let w = 1.1 - 1. Let v = 0.18 - w. Let i = v + 0.22. Sort 1/4, -5, i. -5, 1/4, i Let k(v) = -v**3 + 6*v**2 - 4*v - 5. Let a be k(5). Sort a, 2, 1 i
{ "pile_set_name": "DM Mathematics" }
ich is the closest to -0.2? (a) t (b) -2 (c) 0.2 (d) 0.5 c Let a = -1.69 - 1.31. What is the nearest to 0.03 in 5, -0.5, a? -0.5 Suppose 2*j - 121 = -2*j + 5*h, -4*j - h + 91 = 0. Let m = -27 + j. Let o = -0.5 - -0.1. Which is the closest to 2/7? (a) 2/5 (b) o (c) m a Let z = -8.8 + 9. Let l = 0.9 + -1.9. Which is the nearest to l? (a) -2 (b) 0.5 (c) z a Let n = 1/3607 + -46918/97389. Let q = n - -4/27. What is the nearest to q in 0.3, 1, -3/2? 0.3 Let w = 824 - 825. Which is the nearest to w? (a) -2/13 (b) 4 (c) -11 (d) -0.2 d Let o be (-2 - (-3 + -1))*24. Let w be (10/o)/((-9)/(-156)). Let r = w - 34/9. Which is the closest to -1? (a) -5 (b) -3/4 (c) r b Let h = -2869/7185 - 1/1437. What is the closest to -0.1 in -2, 0, h? 0 Let t be -15 + 5 + 10 + 0. Let q be (4/(-18))/((-4)/6). Which is the nearest to t? (a) q (b) -0.03 (c) 0.2 b Let o = -3895/51 + 229/3. Let t = -80/561 + o. What is the closest to -1/3 in t, 3, 0.5? t Let t = 17 + -35/2. Let l = -7482 - -7483. What is the nearest to -0.1 in l, 3, t? t Let s = -33.1 - -33. Let n be 4/14 - 10/14. Let q = -4/9 - -37/63. What is the nearest to s in 1/4, q, n? q Let f = 204 + -200. Which is the closest to -12/11? (a) f (b) 1 (c) 5 (d) 2/5 d Let s be (-9)/9*(-67 + 0). Let i = -271/4 + s. Which is the closest to 0? (a) i (b) -0.3 (c) 0.5 b Let z = -0.63 + 0.13. Which is the nearest to -0.1? (a) -2/5 (b) z (c) -0.1 c Let p(m) = m - 8. Let y be p(5). Let r be y/18 - (1 + -2). Which is the nearest to 1? (a) 2 (b) r (c) 4 b Let p be ((-4)/6)/((-416)/24). Let x = 6/13 + p. What is the closest to x in 5, 3, -0.1? -0.1 Let m = -2 - -7. Suppose -m*s = -5*d + 32 + 23, 4 = s. Suppose -5*k = -5*y + 20, k - 5*k - d = -5*y. What is the nearest to y in 0.2, -0.1, -0.3? -0.3 Let u = -0.126 - 0.934. Let t = u + 1. Let z be -2 - -1 - 5/(-7). Which is the nearest to t? (a) -3/4 (b) -2/3 (c) z c Suppose -5*a + c + 2*c - 22 = 0, -a - 2*c + 6 = 0. Let w be a/(-39)*(-13 - -16). Let m = -0.3 + 0.4. What is the nearest to m in -0.1, w, -0.5? w Let m be 1 - 1*(-123)/(-33). Let s = -255 - -254. Which is the closest to s? (a) m (b) 2 (c) 2/7 c Let s = 191 - 135. Let k = -278/5 + s. What is the nearest to k in 1/8, -1/7, 4? 1/8 Let l = 585 - 8777/15. What is the nearest to 1/2 in l, 0, -6, -3? 0 Let q = -0.1477 - -0.5477. Which is the closest to 1? (a) -4/103 (b) -3 (c) q c Let k be 8/30*3/(-2). Let q be 10/12 + (-6)/9. Suppose 0 = h + h - 6. Which is the closest to k? (a) h (b) 3/4 (c) q c Let w = -5/38 + -107/342. Which is the closest to -4? (a) 0 (b) 0.1 (c) w c Let n(k) = k - 9. Let z be n(9). Let v be z + -7 + (3 - 0). Which is the closest to -2? (a) 0.07 (b) -0.1 (c) v b Let h = -141.2 - -141.4. Which is the nearest to h? (a) -3 (b) -5 (c) 0.2 (d) 23 c Let t be (-81)/105 + (-2)/(-10). What is the closest to 1/54 in 3, t, 1? t Let h = 0.432 + 2.568. What is the closest to 210 in 5, h, 0? 5 Let h = -7.3 + 74.3. Let o = h + -64. What is the nearest to -0.1 in 5, 0.1, o? 0.1 Let w(o) = -o**2 + 6*o - 6. Let p be w(0). Which is the closest to -1? (a) p (b) -2 (c) -0.07 c Let u = 1 + -5. Let o = -1804 - -1803. What is the closest to o in u, -0.4, 0? -0.4 Suppose -4*i - 3 = -7*i. Let h = -2 + 5. Let u be 2/(-10)*(1 - 2). What is the nearest to 0 in h, i, u? u Let a be -1 - (1932/351 + -5). Let c = a - -21/13. Let n = -0.3 + 0.8. What is the nearest to 1 in -0.1, c, n? n Let f = 4328/7 - 617. Let z = f + -57/28. Let t = -1.75 - 0.25. Which is the nearest to t? (a) -5 (b) z (c) 2/5 b Let v = 1556 + -1552. Which is the closest to 3? (a) -2 (b) -1.4 (c) v (d) -4 c Let n = 2.14 + 0.86. Which is the closest to 0.2? (a) -4 (b) n (c) 0.3 (d) -3/4 c Let v(z) = 3*z + 29. Let o be v(-7). Suppose -7*y + 1 - o = 0. Let q = -0.04 + 4.04. Which is the nearest to -0.1? (a) q (b) 1/2 (c) y b Let k = -31 + 32. Let d(m) = m - 2. Let n be d(2). Which is the nearest to k? (a) -4 (b) 5 (c) n c Suppose 5*u - 42 = -f, -8*f = 5*u - 4*f - 48. Suppose -p = 3*p + u. Let i = 5 - 6. What is the nearest to -2 in 0.4, p, i? p Let v = 1418/15 - 284/3. What is the closest to v in 0.4, 1/4, 0.1? 0.1 Suppose n - 3 = 2*k, -2*k + 5*n + 1 + 0 = 0. Let a(p) = -2*p**3 + 44*p**2 + p - 27. Let t be a(22). What is the closest to 2 in k, t, -1? -1 Let o = -151 - -155. Let u = 11 - 9. What is the closest to 1/2 in -5, u, o? u Let g = -1.58 - 3.48. Let x = g + 0.06. Let s = 0.066 - -0.934. Which is the nearest to s? (a) -2/3 (b) -1/3 (c) x b Let q be 12/(-8)*(-2)/(-6). Let u = 8 - 7. Which is the nearest to 1? (a) q (b) u (c) 5 b Let z = -0.148 + -8.852. What is the nearest to z in -3/2, -1/7, -1? -3/2 Let x(l) = -l**2 - 3*l + 5. Suppose 16 = 5*d - 2*g, -3*d + d - 2 = 2*g. Let s be x(d). Which is the nearest to -1/4? (a) 3 (b) 0.5 (c) s b Let g = 15.3 + -16. Let h = 0.6 + g. Let d = 28 + -28. Which is the closest to 2/5? (a) 5 (b) d (c) h b Let d = -18.3 + 18.1. What is the nearest to d in 0.5, -0.11, 3? -0.11 Let l = 0.204 + 4.796. Let i = -12 + 7. What is the nearest to -1 in 4, l, i? i Let p = 2.977 - -0.023. Let j(k) = -k**3 - 5*k**2 + 6*k + 5. Let n be (-9)/(-2)*20/(-15). Let x be j(n). Which is the nearest to 1/4? (a) x (b) p (c) -5 b Let j = -0.0717 - -0.1717. What is the closest to 6 in 3/4, 1/2, j? 3/4 Let f = -0.13 - -0.09. Let r = f + -0.96. Let j = 77/3 - 26. Which is the nearest to j? (a) -2/19 (b) r (c) -0.3 c Let v = 186.3 - 186. What is the closest to 2 in v, 2, -3? 2 Suppose 3*q - 8 - 1 = 0. Let f be (-3 - (-3)/2) + (-1)/2. Let k be (-13)/(-26)*(-1)/f. What is the closest to 0.1 in k, -2, q? k Let t = 12 - 16. Let x = 102 + -103. What is the nearest to -0.1 in -0.1, t, x? -0.1 Let l = 0.109 + -3.109. What is the closest to 2/9 in 0.1, -0.2, 0, l? 0.1 Let n = 2 + -1.5. Suppose -3*r - 4*g = 2*r + 196, -2*r - 84 = 3*g. Let h = r - -37. Which is the nearest to -1/2? (a) h (b) n (c) -4 b Suppose 2*k + k = 21. Let x = -2.54 + 1.54. Which is the nearest to -2/3? (a) x (b) -0.2 (c) k a Let a = 380 - 381. Let o be 14/(-10) + 36/(-10) + 4. Let h(j) = -3*j - 2. Let w be h(3). What is the closest to a in o, 1/5, w? o Let j = -0.593 - 2.407. Which is the nearest to 5? (a) -1 (b) 4/7 (c) j (d) -4 b Let k = 3 - 8. Let q = k + 0. Let t = -0.49 + 0.99. What is the nearest to -1 in q, t, -3? t Suppose -5*c = 63*v - 67*v - 24, 4*v + 24 = -2*c. Let o(d) = -d**3 + d**2 - 1. Let k be o(-1). What is the closest to k in -4/3, 2/13, c? 2/13 Let h be (-17)/42 - 44/(-88). Let g be ((-42)/35)/((-6)/(-140)). Let z be 4/(-2) + (-40)/g. Which is the nearest to -1? (a) 0.3 (b) h (c) z c Let r = 0.03 + -0.05. Suppose -2*s - 2*d = -0*s - 16, 4*d = -2*s + 16. Let j be 3*7/((-420)/s). What is the closest to r in -3, -1, j? j Let w be (-2)/(-2)*(0 - -1). Let t = 21 + -21.1. Which is the nearest to 0.1? (a) 3 (b) t (c) w b Let r be (-22)/80 + (-16)/(-40). Let f(m) = -m**2 - 7*m - 1. Let d be f(-6). Which is the closest to -1/3? (a) r (b) -0.3 (c) d b Suppose u - 6*u - 4*m = 6, -3*m - 20 = -4*u. What is the closest to u in 0.051, -1/2, -1/4? 0.051 Let l be 1 + -5 - -3*(-5 - -6). Which is the nearest to l? (a) -1/5 (b) -2/11 (c) 0.5 a Let l = -2424 - -2423.6. Let s = 7 + -10. What is the nearest to l in s, 4, 4/9? 4/9 Let q be 78/12*3/39. Let k be (-3)/2*16/36. Which is the closest to q? (a) -4 (b) k (c) -3 b Let d = -1 + 3. Let u = 0.44 + -0.33. Let q = u - 4.11. What is the closest to 2 in q, d, 4/3? d Let w = 10 - 9.6. Let y = 0.9 + 1.1. Let c = y + -3. What is the nearest to -0.1 in c, 1/3, w? 1/3 Let r(o) = -5*o**2 - 12*o**3 + 11*o**3 - 1 + 0. Let z be r(-5). Which is the nearest to 1? (a) -1/9 (b) 2 (c) z b Let l = -578 - -2313/4. What is the closest to l in -0.2, -126, -1? -0.2 Let p = -0.111 + 139.111. Let k = -139 + p. What is the closest to k in 3/4, 2/5, 4/5? 2/5 Let y(d) = -d**2 + 5*d + 13. Let h be y(6). Suppose 7*r - 14 = h. Let u = -5 - 1. What is the nearest to u in -3, r, -5? -5 Suppose -10*d + 11*d = h - 8, -5*d - 22 = 4*h. Let l = -8 + 8.3. Which is the nearest to h? (a) 2 (b) 3 (c) l a Let j = -0.24 - -1.74. Let u = -2 + j. Which is the nearest to -3? (a) 0 (b) u (c) 0.1 b Let x be (-880)/16 - (1 + 0). Let l = x - -52. What is the nearest to 2/
{ "pile_set_name": "DM Mathematics" }
3 Let w = -31 - -74. What is the tens digit of w? 4 Let b(f) = -2*f**2 - 3*f - 1. Let h be b(-3). What is the tens digit of (15/2)/((-5)/h)? 1 Let w(x) be the first derivative of -x**2/2 + 3*x + 11. Let a(z) = -z**2 - z + 5. Let h be a(-4). What is the units digit of w(h)? 0 Suppose 3*x = 5*u + 246, 2*u = -x - u + 82. What is the tens digit of x? 8 Let i(g) = g**3 - 3*g**2 - 2*g + 2. Suppose -3*o - 7 + 19 = 0. Let j be i(o). Let q = 14 - j. What is the units digit of q? 4 Let c = 1 - -1. Suppose -c*n + 3*n = -4*m + 70, -5*m + 86 = 2*n. What is the units digit of m? 8 What is the hundreds digit of (-4)/(-8) - (-253)/2? 1 Suppose -4*d = -4*o - 0*o, 0 = -3*d + o + 2. What is the units digit of d*(3 + -1) + 4? 6 What is the tens digit of 12/(-8)*(-1192)/12? 4 Let n(w) = w**2 + 2*w. Let t be n(-3). Let c be (15/9 - -1)*(-15)/(-10). Suppose -c*x + t*j = -23, 4*x - 29 = -0*j + j. What is the units digit of x? 8 Let r = 35 + -16. What is the units digit of r? 9 Suppose 32*l + 128 = 36*l. Suppose m + 4*m = -85. Let t = l + m. What is the units digit of t? 5 Suppose 2*c - 3*t = 13, 4*t = -1 - 11. Let d(a) = 5*a**2 - a - 2. What is the tens digit of d(c)? 1 Let u(g) = -g**2 + 9*g + 8. Let k be u(8). Let j = k - 0. What is the units digit of j? 6 Suppose 5*o + 146 + 39 = 0. Let y = o + 69. What is the units digit of y? 2 Let a(j) = -j**2 - 2*j. Let o be a(-3). Let y(v) = -3*v + 0 + 3 - 2*v + v. What is the tens digit of y(o)? 1 Suppose 5*k = k + 360. Suppose 3*p = -2*p - k. What is the units digit of (-4)/p + (-122)/(-18)? 7 Suppose -j + 4*v = 5*v + 20, -75 = 3*j - 2*v. What is the units digit of 0 + (0 + j)/(-1)? 3 Let z be ((-7)/(-2))/(2/28). Suppose 3*x = -2*o + 118, -x - o - 8 = -z. What is the units digit of x? 6 Let a(k) = -k**2 - 11*k - 3. What is the units digit of a(-8)? 1 Suppose 0 = 5*n + 2*f + 23, 0*f = -5*n + 4*f - 29. What is the units digit of (8/10)/((-1)/n)? 4 Suppose 4*l + 125 = 401. What is the tens digit of l? 6 What is the units digit of 3 - 202/(0 + -3 + 1)? 4 Suppose -j - 21 = 3*f - 5*f, -f + 2*j = -12. Let w be 26/f + (-4)/(-10). Suppose 5*h = w*g + 11, -31 = -5*g - 2*h - 2*h. What is the units digit of g? 3 Let m(i) = 7*i - 12. What is the units digit of m(6)? 0 Suppose s = -3*r - 2*r - 19, s - 5*r = -59. Let c = -18 - s. What is the units digit of c? 1 What is the tens digit of (-58597)/(-275) + 4/(-50)? 1 Suppose k = -y + 29 + 33, 3*k + 326 = 5*y. What is the units digit of y? 4 What is the units digit of (49/(-3))/((-1)/3)? 9 What is the tens digit of (-2)/(-5) + 1512/20? 7 Let n be 0/(-1) - (1 + -3). Suppose n*r - 48 = -5*a, -5*a + 3*r + 53 = -0*a. What is the tens digit of a? 1 Suppose -5*c = -5*b - 1240, 3*c + 5*b - 82 = 670. What is the tens digit of c? 4 Suppose -2*v = -k + 4*k - 291, 0 = v - 5*k - 139. What is the tens digit of v? 4 Suppose 3*d + 15 = 2*y - 0*d, -4*y = -2*d - 34. Suppose -19 = -2*f + y. What is the units digit of f? 4 Let b = 21 + -12. Let f be 12/(-2)*b/6. What is the units digit of (-43)/f + (-2)/(-9)? 5 Let v be 6*(8/6)/2. Suppose -1 = -v*b + 23. What is the units digit of b? 6 Suppose 0 = -4*x - 4*a + 3*a + 202, -98 = -2*x + a. Let b = -18 + x. What is the units digit of b? 2 Let d(j) = j**2 - 12*j + 34. What is the tens digit of d(15)? 7 Let t(f) = -f**2 + 2*f + 31. What is the units digit of t(0)? 1 Suppose -5*q - 25 = z + 2*z, 0 = 3*z + 3*q + 15. Let g(n) = n**2 - 5*n + 5. Let m be g(4). Let u = m - z. What is the units digit of u? 1 Let q be 3/(2/((-8)/(-6))). Suppose -g - 8 = -q*g. What is the units digit of g? 8 Suppose -20 - 40 = -3*m. What is the units digit of m? 0 Let p(z) = 4*z**2 - 5*z + 3. Let h be p(3). Suppose -h = -3*m + m. What is the units digit of m? 2 Suppose 0 = 3*k + k + 4*s - 92, 0 = -2*s - 8. What is the tens digit of k? 2 Let t(l) = l - 12. Let b be t(0). What is the tens digit of 3/14*b*-7? 1 Suppose 4*z = 4*y + 44, 0*y - 91 = -5*z - 4*y. Let p = -11 + z. What is the units digit of 9/(-3)*-1 + p? 7 Let v(c) = c**2. Let p(s) = -2*s - 7. Let r be p(-5). What is the units digit of v(r)? 9 Let k = -4 + 7. Suppose -7*w + 2*w - k*a = -55, -22 = -2*w + 3*a. What is the tens digit of w? 1 Let o(x) = -x**3 - 7*x**2 - 2*x + 1. Let q be o(-7). Suppose 6*c = c - q. What is the units digit of (1 - -1)*c/(-6)? 1 Let h(q) = -3*q + 2. Let u be h(2). What is the units digit of u/(-10) + 196/35? 6 Let t = -12 - -14. Suppose -6*r = -t*r - 36. What is the units digit of r? 9 Suppose -2*w = -6*w - 16. Let h = w + 2. Let u = h - -10. What is the units digit of u? 8 Let p(y) = -5*y - 2. Let l(c) = -c. Let h(x) = 2*l(x) - p(x). Let r be h(-2). Let m = 2 - r. What is the units digit of m? 6 Suppose 0 = 4*v + 47 - 119. Suppose 30 = 3*g + 5*h, -5*g + h - 3*h + 31 = 0. Suppose o = 2*w + 7, 4*o - g*w - v = 13. What is the units digit of o? 9 Let k be 2/(-5) - (-44)/10. Suppose 2*z = -3*j - 3, k*z - 5*j - 65 = -16. Suppose 15 = -t + z*t. What is the units digit of t? 3 Let p = -14 - -8. What is the units digit of (-3)/((-3)/(-192)*p)? 2 Suppose -3*f + 147 = 3*j, j + j - 91 = 5*f. What is the units digit of j? 8 Let x(j) = -7*j**3 + j**2 + 3*j + 2. Let z be x(-2). Let i be (-45)/10*z/(-3). Suppose 5*t - 1 = i. What is the tens digit of t? 1 What is the units digit of (-79)/(-2) + -1 + (-3)/(-2)? 0 Let r = -94 - -158. What is the tens digit of r? 6 Suppose 4*o - 6 - 2 = 0. Let n be (8/(-10))/(o/(-5)). Suppose -2*q + 4 = n*q. What is the units digit of q? 1 Let m be 25/(-3)*(4 - 7). Suppose -5*j = 5*n - 0*n - 90, 5*n = -m. What is the units digit of j? 3 Let k be (0 - -1)*(4 - 0). Suppose 5*q = -5*b + 2*q + 12, 4*b - 4*q - 16 = 0. Let d = k - b. What is the units digit of d? 1 Suppose -6 = 4*x - 3*x. What is the tens digit of (-80)/x - (-6)/9? 1 Suppose r = 1 + 4. Suppose -r*v - 24 = -64. Suppose -4*q + 44 = v. What is the units digit of q? 9 Let l(w) = 12*w - 1. Let y be l(-1). Let q = 19 + y. What is the units digit of q? 6 Suppose 2*i + 5*d = 95, 5*d + 209 = 5*i - 11. What is the tens digit of i? 4 Let i = 63 - 21. What is the tens digit of (i/(-4))/((-2)/8)? 4 Suppose -4*i = -2*i. Suppose 3 = -3*w - i*w. What is the units digit of (3 - 0/w) + -1? 2 Let j = -8 - -14. Suppose 4*l = 3*k - 23, 0 = -j*k + 3*k - 3*l - 12. What is the units digit of 2*(2 - k) - -4? 6 Let a(d) be the third derivative of d**6/120 + d**5/10 + d**4/12 + d**3/6 - 5*d**2. What is the tens digit of a(-4)? 2 Let p = 210 + -123. What is the units digit of p? 7 Let r be 1 - -2*1*1. Suppose -5*p + a - r*a + 28 = 0, p - 11 = 5*a. What is the units digit of p? 6 Suppose 2*s - 3*s + 3*u = -31, -s = 5*u - 39. Let g = 47 - s. Let q = -8 + g. What is the units digit of q? 5 Let p(g) = -4*g + 28. Let d(n) = -n + 9. Let r(s) = 7*d(s) - 2*p(s). Let j = -6 + 11. What is the tens digit of r(j)? 1 Suppose 3*h - 7*h = -20. What is the units digit of h? 5 Let j = 108 + 82. What is the units digit of j? 0 Let n be (3/(-2))/((-2)/4). Suppose -g + 19 = n*u, 2*g - 2*u = u + 47. What is the units digit of g? 2 Let h(o) = o**2 + 9*o - 13. Let l be h(-9). Suppose 44 = 3*c - 5*z, -2*c + 4*z + 27 + 1 = 0. Let x = c + l. What is the units digit of x? 5 Let l = 4 + -5. Let w(y) = 4*y**2 - 1. What is the units digit of w(l)? 3 Suppose -14 = -5*z - 5*y + 26, -3*y + 28 = 4*z. Let w be ((-6)/z)/(8/(-288)). Suppose -3*o - 2*m + 45 = 0, -5*m = -o + 4*o - w. What is the tens digit of o? 1 Suppose -2*g - 100 = -7*g. Suppose 0 = -c - 2, -2*c - g = -4*a - 0*a. Suppose 3*j + 5*b = 3*b + 17, 21 = a*j + b. What is the units digit of j? 5 What is the units digit of (-477)/6*(-2)/3? 3 What is the units digit of ((-5)/(-3))/(-5)*-3? 1 Suppose -6 = -2*j, 24 = 5*u - 5*j - 26. What is the units digit of u? 3 Suppose -2*o - 12 = -o. Let s = o - -22. What is the units digit of (-4)/s + (-84)/(-10)? 8 Let t = -7 - -9. Suppose 0 = -r - 2*f + f + 43, t*f = 2*r - 70. What is the tens digit of r? 3 Let g = 60 + -24. What is the units digit of g? 6 Let v be 3/(1*9/12). Let a be (1 + 0)/(2/v). Suppose -a*g = -3*g + 5. What is the units digit of g? 5 Suppose 20 = 6*c - c. Suppose -3*k + c = -38. What is the tens digit of k? 1 Let i(l) = -12*l + 4. What is the units digit of i(-6)? 6 Let c(d) = d**3 - 7*d**2 - 7*d + 5. Let k(n) be the second derivative of n**3/6 + 4*n**2 - n. Let a be k(
{ "pile_set_name": "DM Mathematics" }
+ y. Suppose 613 = i*g + 88. What is the highest common divisor of g and 15? 15 Suppose -3596*q + 3592*q + 96 = 0. What is the greatest common factor of q and 68? 4 Let h be (-2 - 2/(-3))/((-44)/396). Calculate the highest common divisor of 9 and h. 3 Let s(w) = -5*w**2 + w + 1. Let f be s(-1). Let v = f - -8. Let j be 3/(315/95) - 6/(-63). What is the highest common factor of j and v? 1 Suppose -5*g = -0*g + i + 3, -6 = 5*g + 2*i. Let n(w) = 7 + 18*w - 9*w - 10*w. Let y be n(g). What is the highest common factor of 1 and y? 1 Suppose 23*m + 24*m = 3666. What is the greatest common divisor of 143 and m? 13 Suppose 17*q = 25 + 77. Let l be 1123/q - (-1)/(-6). What is the greatest common factor of 17 and l? 17 Suppose 3*i + 4 = 52. Suppose -12*q + 1610 = 530. Suppose 2*a - q = 3*j, -4*j = -7*j + 6. What is the greatest common divisor of a and i? 16 Suppose -3*n + 0 - 9 = 0. Let s(q) = q**2 + 3*q + 3. Let m be s(n). Suppose 0 = -c + 7*l - m*l + 8, 4 = -4*l. What is the highest common divisor of c and 4? 4 Let c be 308*(-9)/(63/(-2)). What is the greatest common divisor of 16 and c? 8 Let u(y) = 58*y + 10. Let z be u(4). What is the highest common factor of 44 and z? 22 Let v(s) be the first derivative of s**2/2 + s - 15. Let i be v(18). Calculate the highest common divisor of 152 and i. 19 Let a be 1/(-3) - 56/21 - -27. Calculate the greatest common divisor of a and 96. 24 Suppose 4*c - 10 = -c. Suppose -c*i = 3*i. Suppose 8*f - 11*f + 33 = i. Calculate the highest common factor of 121 and f. 11 Let v = -5 + 7. Suppose 0 = 5*g - 2*c - 94, -2*g + 86 = 2*g + v*c. Let y = 12 + 38. What is the highest common factor of g and y? 10 Let l be (-4)/6 + 532/(-84) + 130/10. Let c(i) = 3*i. Let w be c(1). What is the highest common factor of w and l? 3 Let t = -23 - -22. Let g = 11 - t. What is the highest common factor of g and 4? 4 Suppose 0 = -391*u + 399*u - 248. Let x(k) = -55*k + 4. Let t be x(-5). What is the highest common divisor of u and t? 31 Suppose -5*w = -2*w - 168. Let k be (-28)/w - 146/(-4). Calculate the highest common divisor of k and 4. 4 Suppose -2*v + 315 = 4*a - 899, -4*v = 3*a - 923. What is the greatest common factor of a and 14? 7 Let l(x) = -x**3 - 7*x**2 + 13*x - 2. Suppose -2*y + 1 - 13 = -2*h, 0 = 4*h + 16. Let p be l(y). What is the greatest common factor of p and 21? 21 Suppose 27*x - 3430 = -8*x. What is the greatest common divisor of 21 and x? 7 Let j(v) = v**2 - 4*v - 4. Let l be j(6). Let s = l + -6. Suppose -s*z = 3*z - 450. What is the greatest common factor of 10 and z? 10 Let t = -12 + 22. Let i be (-348)/(-20) + (-4)/t. Let a = i + 130. What is the greatest common divisor of a and 21? 21 Let l(u) = -162*u + 8. Let s be l(-3). Calculate the greatest common factor of 208 and s. 26 Let j = -72 - -42. Let o be ((-72)/(-15))/((-3)/j). Calculate the greatest common factor of 72 and o. 24 Let k(a) = a**3 + 9*a**2 - 14*a - 8. Let p be k(-10). What is the greatest common divisor of 112 and p? 16 Let y = 15 + -6. Let z = -299 + 308. What is the greatest common divisor of z and y? 9 Let v be (-495)/(-105) - 4/(-14). Suppose -1060 = -v*r - 6*o + o, r = 3*o + 204. Calculate the highest common divisor of 21 and r. 21 Let k be (-270)/(-150)*(-80)/(-6). Suppose 0 = 3*i - 11 - 25. What is the highest common factor of k and i? 12 Let o be (-60)/(10/75 - (-292)/(-1740)). What is the greatest common factor of 20 and o? 20 Let f = 316 + -295. Calculate the greatest common factor of 77 and f. 7 Suppose -10*r + 11*r = 35. Let a be (11 - 13) + -3 + -1. Let o be a/(-2)*5/3. What is the highest common factor of o and r? 5 Suppose 88*d - 853 = 907. Let k(g) = 2*g**3 - 8*g**2 - 2*g + 8. Let w be k(6). Calculate the greatest common divisor of d and w. 20 Suppose 11*u + 490 = 13*u. Calculate the greatest common divisor of u and 49. 49 Suppose -3*y = 4*a - 1165 - 735, y + 2375 = 5*a. What is the highest common factor of a and 38? 19 Suppose 0 = -2*h + 4*i + 112, 5*h - 295 = 2*i - 7*i. Calculate the greatest common factor of h and 87. 29 Let j be (192/30)/(-8)*5*-1. Suppose 5*b = 56 - 1. Suppose r - 1 = 2*w - b, -32 = -j*w + 5*r. Calculate the highest common divisor of 24 and w. 3 Let q(t) = -t + 50. Let f be q(2). Calculate the greatest common factor of 78 and f. 6 Suppose 0*f - 2*l - 54 = -3*f, 2*l - 72 = -4*f. Calculate the greatest common divisor of 9 and f. 9 Suppose -3*f - 2*d + d + 9 = 0, 3*f = 3*d + 21. Let g be 15 - f/(-4) - 2. Calculate the highest common divisor of g and 56. 14 Let k(n) = 8*n + 30. Let t be k(12). What is the greatest common factor of t and 7? 7 Let d = 0 - -18. Let o = 32 - d. Calculate the greatest common divisor of 21 and o. 7 Suppose -6840 = -15*w + 17805. What is the highest common divisor of 31 and w? 31 Suppose 3 = -n + 8. Suppose 67 = 2*o + 3*o + 4*p, 70 = n*o + 5*p. Calculate the greatest common divisor of o and 22. 11 Let t = 107 - 46. Let g = 69 - t. Calculate the greatest common factor of 1 and g. 1 Let y be 5/((-20)/8)*-1. Suppose -y*q + 32 = -38. Suppose s + s = 560. What is the highest common divisor of q and s? 35 Let n(v) = -v**3 + 13*v**2 + 4. Let z be n(13). Suppose -z*i + 2 = -3*i, 89 = 3*o + i. What is the greatest common factor of o and 203? 29 Let b(u) = 5 + 18*u - 28*u - 3 + u**2. Let y be b(10). Suppose -5*j + 0*j = y*m - 171, j - 48 = -5*m. What is the greatest common divisor of 11 and j? 11 Let s = 75 + -76. Let w be s + 1 + (-1 - -8). Calculate the highest common factor of 77 and w. 7 Let g = 4 + 6. Let c(l) = -l**3 + 52*l**2 + 111*l - 122. Let v be c(54). Calculate the highest common factor of v and g. 10 Let g be (6 - (-570)/(-24))*-116. Calculate the greatest common divisor of 29 and g. 29 Let d(y) = 5*y**2 + 11*y - 37. Let b be d(3). Calculate the greatest common divisor of 41 and b. 41 Suppose 0 = 3*r - 2*k - 12, -5*k = r - 6*r + 25. Let z(v) = v**3 + 23*v**2 - 2*v - 38. Let s be z(-23). What is the highest common factor of r and s? 2 Let k = 34 + -34. Let o be -6 - (k - 5) - -309. What is the highest common factor of o and 28? 28 Let f(y) = -1011*y**3 - y**2 - 15*y - 13. Let z be f(-1). What is the highest common factor of 44 and z? 44 Let x(b) = -b**3 - 19*b**2 - 27*b - 51. Let o be x(-18). Calculate the highest common divisor of o and 148. 37 Suppose 5*t - 47 = 2*c + 31, 5*t - 4*c - 76 = 0. Let v be 2 + 9/(36/8). Let g be (1 + 7)*(v - -1). Calculate the greatest common factor of t and g. 8 Let l be (-1)/(3 - 14/4). Suppose 6 = 2*t + 3*g - l, 2*t - 5*g = -8. Suppose 3*f - t = 5. Calculate the greatest common divisor of 10 and f. 2 Suppose -4*i + g - 25 = -5*i, 5*i = -g + 109. What is the highest common divisor of i and 21? 21 Suppose -4*m + 12 - 87 = -3*b, -2*b + 36 = 2*m. Let c be 20/(-24)*-21*4/10. Calculate the greatest common factor of c and b. 7 Let p be 7 + (-135)/18 + 362/4. What is the highest common divisor of p and 10? 10 Suppose -38 = 6*i - 32. Let o(z) = -z**2 - 6*z + 4. Let m be o(-6). Let a be i/(m/(-12)) + 3. What is the greatest common divisor of 48 and a? 6 Suppose 2*k = i + 2 + 139, -2*i - 6 = 0. Let b = -70 + 116. Calculate the greatest common factor of k and b. 23 Let o be 3 + (1 - (-3 - -3)). Suppose -o*h + 2 + 10 = 0. Suppose 0 = 2*c + h*c - 60. What is the greatest common divisor of c and 48? 12 Let l = 2267 + -1849. Calculate the highest common divisor of l and 110. 22 Let u be ((-24)/(-2))/((-2)/(-5)). Suppose -48*b + 43*b + 15 = 0. What is the highest common factor of u and b? 3 Let k = -163 - -174. Let d = 7 + -6. Calculate the greatest common divisor of k and d. 1 Let s be (-6)/2 + (31 - 18). Let h = s - -2. Calculate the highest common divisor of h and 132. 12 Suppose -11*t = 7*t - 2322. What is the greatest common factor of 43 and t? 43 Let q = 30 - -5. What is the greatest common factor of q and 35? 35 Let l be (2 - -2)*4/(-8). Let s be ((-2)/l)/(6 + -5). Let b be 21/14 + s/(-2). Calculate the highest common factor of b and 5. 1 Suppose 0 = 15*v - 44 - 1. What is the highest common factor of v and 237? 3 Let m be (-2)/10 - (-63)/15. Suppose m*p - h = 70, p - 5*h - 16 = 11. What is the greatest common factor of p and 17? 17 Let m = -54 - -59. Suppose 4 = i - 0. Suppose -45 = -5*a - i*r, 4*a + 0*a = 3*r + 5. What is the highest common divisor of m and a
{ "pile_set_name": "DM Mathematics" }
-1 + 3 - 3)*(-1 - 2 - 1 + 2*n) to p*n + o*n**2 + g*n**4 + i + u*n**3 and give g. -112 Express -17*f**3 - 21 - 19 + 56*f**3 + 39 in the form r*f**3 + c*f**2 + t + i*f and give r. 39 Express -1 + 3 - 8*a - 83*a in the form l*a + y and give l. -91 Rearrange -25*v + 193 + 189 - 383 - 5*v**2 + 6*v**2 to s*v + q*v**2 + c and give s. -25 Rearrange -24*d**3 - d**2 + 386*d - 388*d + d**2 + 725 + 23*d**3 to the form n*d + x + u*d**2 + c*d**3 and give n. -2 Rearrange -78*m + 63*m + 191*m + 212*m to the form o + c*m and give c. 388 Express 171*f - 3 + 177*f - 338*f in the form i*f + m and give i. 10 Express 5 + 5*x**2 + 286*x + 16 - 290*x as a*x**2 + d*x + h and give h. 21 Express 0*b**2 + 0*b**2 + b**3 + (b - 2*b - b)*(2*b + b**2 - 2*b) + 6 - 16 + 130*b**3 + 9 as f + q*b**3 + j*b**2 + w*b and give q. 129 Express 10*m**2 - 9*m**2 - 831 + 57 in the form b*m**2 + y + h*m and give b. 1 Rearrange (2*m + m - 5*m)*(-3*m**3 - 341 + 26*m - 2*m**2 - m + 342) to n*m + p*m**4 + o*m**3 + a*m**2 + d and give p. 6 Rearrange ((4*n + 2*n - 4*n)*(-n + 1 - 1) - 5*n**2 - 79*n + 79*n - 75 + 75 - 17*n**2)*(-2*n - 1 + 3 - 3) to g + l*n**3 + w*n + q*n**2 and give l. 48 Express -146*i + 187*i + 294*i as k + v*i and give v. 335 Rearrange (2*g - 3*g + 3*g)*(-2 + 1 - 2) + 6*g - g - 19*g - g + g - g + (-2*g + 2 - 2)*(-1 + 2 + 0) - g + 0*g + 6*g to the form h + n*g and give n. -18 Express -575 - 471*q + 297 + 276 in the form r*q + t and give t. -2 Express -56*a - 10*a - 26*a as f*a + j and give j. 0 Express (8*h**2 + 4*h - 4*h)*(h + 5*h + 2*h) + h**3 + 2*h**3 - h**3 + (3*h - 1 + 1)*(-4 + 4 - 2*h**2) in the form w*h**2 + c + l*h + x*h**3 and give x. 60 Express -n**3 - 2*n + 256 - 461 + 236 - n**2 in the form f*n**2 + q + h*n**3 + l*n and give f. -1 Express 762*g - 798*g + 5*g**2 - 2*g**3 - 1 - 2*g**2 - g**2 in the form d*g**3 + m + j*g + o*g**2 and give m. -1 Express -4*s**4 + 3*s**4 + 2611*s**2 - 2615*s**2 + 2 + 2*s**3 - 4 as l + c*s**2 + p*s + k*s**3 + g*s**4 and give k. 2 Rearrange -9*k**3 + 22*k**3 + 4*k**2 + 1 - 18*k**3 - 2*k**2 to the form r + o*k + n*k**2 + s*k**3 and give n. 2 Rearrange 4 - 140*i**2 - 2 + 139*i**2 - 8*i to the form o*i**2 + t + u*i and give t. 2 Express (34 - 17 + 25*d - 16)*(-4 - 2*d + 3*d + d) as t*d + b + l*d**2 and give t. -98 Rearrange (1152*w**2 - 142587 + 142587)*(-4 - w + 4) to r*w + q*w**2 + a + t*w**3 and give t. -1152 Express -48*i + 14*i - 3*i**2 - 1 + 11*i + i**3 + 27*i + 2*i**4 as m + j*i + t*i**2 + w*i**4 + o*i**3 and give m. -1 Rearrange 32 + 19*g - 32 + (1 - 3 + 4)*(3*g + 3*g - 4*g) + 2*g + 2 - 2 - g - g + 3*g - g - g + g to f + j*g and give f. 0 Express (-m - 6*m - 3*m)*(0 - 2 + 0) + (-m + 6*m + 11*m)*(-3 - 2 + 2)*(-5 + 3 + 4) in the form i + j*m and give j. -76 Rearrange 525*q - 54 - 263*q - 256*q to y + l*q and give l. 6 Express (16*u + 2*u + 73*u)*(3 - 2 - 2) + 0*u - 3*u - u in the form f*u + v and give f. -95 Express 81*x**4 - 60*x + 0*x**4 + 64*x + 0*x**4 + 3*x**4 - x**4 + (-x + 2*x + x)*(-2*x**3 + 0*x**3 - x**3) as g*x**2 + y*x**3 + d*x**4 + h + f*x and give f. 4 Rearrange (1 + 0 - 3)*(6*k**3 + 4*k**3 - 4*k**3) + (-4*k - 3*k - 9*k)*(-4*k**2 - 13 + 13) to t*k**2 + w*k**3 + p*k + y and give w. 52 Express 1 + 423*y**3 + 4*y - 3*y**2 - 422*y**3 + 4*y**2 in the form z*y**2 + k + x*y**3 + v*y and give z. 1 Rearrange (0 - 2 + 4)*(0 + 3 + 5)*(2*m + 0*m - 15*m) to the form z*m + b and give z. -208 Express (-26 + 2*t - 3*t + 18)*(7*t**2 - 24*t**2 - 2*t**2) in the form c*t + h*t**3 + s*t**2 + y and give s. 152 Express -421*o - 7*o**2 - 684 + 8*o**2 + 686 in the form w*o + s*o**2 + y and give w. -421 Express 11*q - 92*q - 135*q - 98*q - 111*q as g + y*q and give y. -425 Rearrange (0 + 0 + w)*(3*w - 2*w + 0*w) + 0*w**2 + 0*w**2 + 2*w**2 + 16*w**2 - 8*w**2 + 9*w**2 - 50 + 50 + 4*w**2 to the form p + a*w + v*w**2 and give a. 0 Express (-1 + 0 - 3)*(5 + 1 + 8)*(0*o**2 + o**2 + 0*o**2) as i + u*o**2 + g*o and give u. -56 Rearrange -2584*a**2 - 13*a**3 + 5161*a**2 - 2577*a**2 + 44*a to the form h*a**2 + x*a**3 + z*a + q and give z. 44 Express 4*o**4 - 1 + 5*o + 0 + 23*o - 2*o**4 + 2*o**3 in the form z*o**4 + n*o**3 + v*o**2 + h + t*o and give v. 0 Rearrange -7 + 1750*c**2 - 1707*c**2 + 2 to the form i + j*c + n*c**2 and give i. -5 Rearrange 3620849 - 2177*z**2 - 3620849 to r + u*z**2 + j*z and give u. -2177 Rearrange -15 - 9*f + 15 + (-3*f + 6*f - f)*(0 + 0 - 2) + (1 + 1 - 1)*(4*f - 3*f + 13*f) to the form m*f + c and give m. 1 Express (-k**2 + 2*k**2 + 0*k**2)*(-227 - 20 + 20) - 3*k**2 - 2*k**2 + 3*k**2 in the form v*k**2 + c*k + g and give v. -229 Rearrange (7 + 0 - 8)*(-20*z**2 + 30*z**2 + 28*z**2) to the form l + j*z**2 + x*z and give j. -38 Express -5*d + 5*d - 3*d**3 - d + (3*d + 2*d + 0*d)*(-4*d**2 - 3*d + 3*d) as n*d**3 + u + v*d + q*d**2 and give v. -1 Express -j**2 - 698*j**3 + 74*j - 2 + 697*j**3 + 2 as g*j + i + z*j**2 + r*j**3 and give z. -1 Express -28*f - 143*f + 6*f - 143*f as y + t*f and give t. -308 Rearrange 8 + 12 + 329*s**4 - 17 + 1 - 68*s**4 - 2*s to x*s + m*s**3 + d*s**4 + b + r*s**2 and give d. 261 Rearrange -23*a + 206 - 222 + 31*a to g*a + q and give g. 8 Rearrange -1332*o + 11 + 1312*o - 7 to the form u*o + p and give u. -20 Express -174*d + 8 + 2 + 97*d + 101*d as l*d + v and give l. 24 Rearrange (v - v + v + (5 - 3 + 0)*(-3*v - 3*v + 5*v) - 4*v + 4*v - 2*v - 3*v + 0*v + 4*v)*(-4 + 4 - 2 + (4 - 4 + 2)*(3 - 4 - 2)) to w*v + y and give w. 16 Express (4 - 3 - 3)*(25*k**3 - 25*k**3 - 255*k**4) in the form r*k**3 + s + c*k + t*k**4 + o*k**2 and give t. 510 Express -7*l**3 - 17*l**2 + 24 + 22*l**2 - 23 + (-2 - 3 + 4)*(0*l**2 - l**2 + 4*l**2)*(-l + 4*l - 5*l) as r*l + x*l**2 + v*l**3 + g and give g. 1 Rearrange 139*u + 217*u - 127*u to v*u + j and give j. 0 Rearrange -h**3 + 53*h**3 - 426*h**3 + (1 + 0 + 1)*(2*h - 4*h**3 - 2*h) to y*h**2 + b + a*h**3 + f*h and give a. -382 Rearrange -146*x**2 + 74*x**2 + 69*x**2 - 42*x to l + u*x**2 + r*x and give r. -42 Rearrange -2*z**2 + 0*z**3 + 0*z**3 + 2*z**3 + 4307*z - 4331*z to x*z + u + p*z**3 + i*z**2 and give i. -2 Express (-1 + 0 + 0)*(54 + 6 + 22)*(2 + 5*u**2 - 2) in the form m*u + g + t*u**2 and give t. -410 Express 0*z**3 + z**3 + z**3 + (-z + 3*z**2 + z)*(-8 - 5 - 17)*(z + 2*z - 5*z) in the form j*z**3 + q*z + f + a*z**2 and give j. 182 Rearrange 2*i - 2 - 28*i**3 + 2*i**4 - 3*i**4 - 21*i**3 + 9*i**3 - i**2 to u + g*i**3 + h*i**4 + v*i**2 + q*i and give q. 2 Rearrange -2*x**2 + 0*x**2 - 15 + 26 - 232*x - 9 to the form d + h*x**2 + j*x and give j. -232 Express -b**2 + 1 + 6*b**2 - 27*b**4 + 8 + 28*b**4 + 2*b + 2*b**3 + 0*b**2 as d*b**3 + k*b**4 + o*b + u*b**2 + w and give w. 9 Express -1962 + 3*c**2 + 8*c**3 + 4*c**3 + 1963 as b*c**2 + r*c + y + u*c**3 and give y. 1 Rearrange -12*b**2 + 1 - 1 + 0 - 30*b**2 to r + k*b + u*b**2 and give u. -42 Express -406*c - 549*c - 810*c + 266*c in the form w*c + z and give w. -1499 Rearrange 2*n**4 - 4*n**4 + 2 - 1 + (-632*n + 508*n + 336*n)*(2*n**3 + 0*n**3 - n**3) to the form q*n**4 + d*n + v*n**2 + r*n**3 + t and give v. 0 Express (102*a**3 - 9230 + 9230)*(-3*a + 3*a + a) + (3*a - 3*a - 2*a**2)*(3*a**2 + 0*a**2 - 5*a**2) in the form x*a**3 + q*a**2 + k*a**4 + n + f*a and give k. 106 Express (4 + p - 4)*((3 + 2*p - 3)*(2*p + 0*p - 4*p) + (8*p - 3*p - p)*(3*p - 40*p + 7*p) - 2*p**2 + p - p) as a*p**2 + i + c*p + z*p**3 and give z. -126 Rearrange -2*v**3 + 2 + 3*v**3 - 3*v**3 + (-v**2 + 5*v**2 + v**2)*(1 + 1 - 5)*(-4*v - 21*v - 6*v) to f*v**3 + a*v**2 + p + x*v and give p. 2 Rearrange 161*a**2 + 2*a**3 + 7*a**3 - 14*a**3 + 7*a**3 to the form n + v*a + m*a**3 + t*a**2 and give m. 2 Rearrange (3 + 0 - 4)*(53*o + 45*o - 94*o)*(-7 + 2 + 0) - 2*o + 2*o + 2*o to the form y*o + i and give y. 22 Express 154*l**3 - 2*l**2 + 146*l**3 + 153*l**3 + 1 + 4*l - 455*l**3 in the form a*l**2 + d + f*l**3 + m*l and give m. 4 Express 2*o**2 + 4*o**3 + o**3 - 6*o**3 + 15 in the form g + j*o**3 + q*o + z*o**2 and give g. 15 Rearrange (1 + 2 - 2)*(2*q**3 - 4*q**3 + 0*q**3) + 177*q - q**3 - 499 + 499 - 2*q**3 - 2*q**2 + 2*q**2 to d + c*q**2 + y*q**3 + l*q and give y. -5 Express (25 + 15 - 13)*(-23*l - 21*l + 2*l)*(-1 - 2*l**2 + 1) as y*l**2 + r + j*l**3 + s*l and give j. 2268 Rearrange -93*p + 31*p - 101*p - 8*p - 4*p to l + x*p and give x. -175 Express 3 + 425*b - 526
{ "pile_set_name": "DM Mathematics" }
(-14) prime? True Let r = -28 + -12. Let z = r - -42. Suppose i + 1003 = z*x - 432, 2148 = 3*x - 3*i. Is x prime? True Let h(v) = -2678*v**2 + 3*v. Let s be h(-1). Let w = s - -8436. Is w composite? True Let h(r) = -r**2 + 6*r - 1. Let v be h(3). Suppose -2*i - 2*i = -v. Suppose -6*t - i*t + 6328 = 0. Is t prime? False Suppose -l - 1795 = -5*l + d, -l - 4*d + 453 = 0. Suppose -2024 = -5*m + 1876. Let u = m - l. Is u prime? True Let s(w) = w**3 - 5*w**2 - w + 2. Let z be s(5). Let y(u) = 165*u**2 - 52*u - 47. Let f be y(-11). Is (-1 - f/18)*z/2 a prime number? True Let w = 300253 - 187190. Is w a composite number? False Let v(j) = 5*j**3 - 5*j**2 - 112*j + 1629. Is v(16) a composite number? False Suppose -5 - 9 = -7*x. Suppose l = x*l - 3846. Suppose -l = -6*a - 0*a. Is a composite? False Let o(g) = 8*g + 19. Let a = 21 + -29. Let z be o(a). Is (z/(-10) - 5)/(1/(-134)) composite? False Suppose 5*a - 602174 = 2*d, -2*a - 33*d + 240862 = -30*d. Is a a prime number? False Let x(d) = 12943*d**3 + 8*d**2 - 19*d - 5. Is x(3) prime? True Let w be 3/(18/21) - (-6)/4. Suppose -17864 = -3*g + w*c, -3*g + 23*c + 17858 = 24*c. Is g composite? False Let q(l) be the second derivative of -l**7/280 + l**6/360 - l**5/30 - l**4/24 + 16*l**3/3 - 2*l. Let o(c) be the second derivative of q(c). Is o(-4) prime? True Let i(d) = 2*d**3 + 18*d**2 + 13*d + 10. Let y be i(-13). Let n = y + 5332. Is n prime? True Suppose 3*a + 103846 = 5*y, 7*y - 6*y - 20777 = -2*a. Is y a prime number? True Suppose -2*v = -3*z - 88132, -36*v + 32*v - 6*z + 176240 = 0. Is v composite? True Let h be ((-48840)/48)/(1/2). Let w = 2888 + h. Is w a prime number? True Suppose -150*n = 306*n - 72074904. Is n composite? True Let t(r) = -r**3 - 7*r**2 + 15*r - 13. Let m be t(-9). Suppose 16 = m*v - 26. Suppose 2*j = -q + 1489, v*q - 3967 - 545 = 3*j. Is q composite? False Let l = 1933222 + -883211. Is l a prime number? True Suppose 0 = 7*b - 12*b - 110. Let g = b - -28. Is 12/16*g/9*236 prime? False Let u(d) = -586*d**3 + d**2 + 62*d + 380. Is u(-7) prime? False Suppose 5*t = -2*m + 4052759, 5*t = t + 2*m + 3242200. Is t composite? True Let x = 32280 + 9555. Suppose 0 = 19*l - x + 6913. Is l a prime number? False Suppose x - 12817 = 5*p, 6*x - 3*x = 3*p + 7683. Let f = -1765 - p. Is f composite? True Let k = -15671 - -28308. Is k composite? False Suppose -2*t + 5*t + 5 = 5*r, -r = -4. Suppose -5*s + 1601 = 486. Is (-8 - (-25)/t)*s/(-3) composite? False Suppose 14*a = 342540 + 96682. Is a composite? True Suppose 5*m = -5*n + 75, 4*n - 60 = -0*m - 2*m. Suppose 8*w + n = 5*w + 5*b, -5*b = -w - 15. Suppose -5*z + 3585 = 3*v + 916, w = -v - 5*z + 883. Is v prime? False Let p(w) = 49*w**2 + 46*w - 8. Let l(c) = -16*c**2 - 16*c + 3. Let k(j) = 17*l(j) + 6*p(j). Let a = 4 - 5. Is k(a) a prime number? False Let n(d) = -d**3 + 8*d**2 - 11*d - 2. Let x be n(6). Suppose 0 = -2*a - 3*g - 609, -x*a - 1463 = 3*g - 254. Let o = a + 521. Is o prime? False Suppose 2*z = -2*w + 2573569 - 836897, 1736682 = 2*z + 4*w. Is z a composite number? False Let j = -89 - -93. Suppose 0 = -j*g - q + 19910, 5*g - 3*q - 6813 - 18083 = 0. Suppose -2*w - 1988 = -2*f, -5*f = -5*w + 2*w - g. Is f a prime number? False Let t(s) be the third derivative of 19*s**5/60 + s**4/3 + 103*s**3/6 + 5*s**2 + 3*s. Is t(-26) composite? False Let l(c) = -8 + 37 - 10 - 9*c - 12 + 13*c**2. Let r be l(12). Suppose 0 = -13*m + 2*m + r. Is m a prime number? False Suppose k - 5039 = -3*w, 15*k - 10*k = 10. Let u = 2872 - w. Is u a composite number? False Let y(t) = 6 - 11 + 8 + 1 - 209*t. Is y(-3) a prime number? True Let d(a) = -204*a + 57. Let t be d(-7). Let n = t + -4. Is n a prime number? True Let m(w) = -2 - w - 8*w + 14*w**2 - 3*w - 3*w. Let g(v) = 9*v**2 + 30*v + 30. Let d be g(-1). Is m(d) a composite number? False Let v(s) = s**2 - 23*s + 59. Let o be v(20). Is -13557*o/9 + 2/3 prime? False Suppose -10*n = -124035 - 26975. Is n a prime number? True Suppose -5*y = -18 + 88. Is (-186)/434 + (-378832)/y a prime number? True Let a be 28/(-10) - -3 - 627/(-15). Is 8891 - (19/(-95) + a/10) a composite number? False Suppose -1230309 - 730913 = -34*m. Is m a composite number? True Suppose -12*a - 18*a = 13*a. Suppose 4*x - 19 = l, 1 = 4*x - 2*l + 7*l. Suppose x*m + 1352 = -5*t + 4249, a = -5*t - 3*m + 2899. Is t a composite number? True Let b be (2 + 1 + 0)*(3763 - 40). Suppose -22*y = -1085 - b. Is y composite? False Let v(q) = 3*q**2 - 2*q + 19445. Suppose 3*f = 2*c - 9, 4*c + 3 + 3 = -2*f. Is v(c) composite? True Suppose -6 = -3*l + 5*z, -3*l - 5*z - 13 = 11. Let j be -10*(5 + l)*(-8)/(-5). Let i = 11 - j. Is i a prime number? True Let f(l) = 962*l**2 - 91*l + 8000. Is f(63) composite? True Let m(n) = 117*n - 85. Let a be m(12). Suppose -a = -c + 3*b, -5*c - 8*b + 6595 = -4*b. Is c composite? False Suppose 3*b + l = 4*l - 48, 5*b + 88 = l. Is 3/(b/4) - 29984/(-12) prime? False Let t = 5434 - -6355. Is t prime? True Suppose -4*n - 105571 + 603673 = 2*v, 3*v = -2*n + 747121. Is v a prime number? False Let p(t) = t**3 + 2*t**2 - 3*t + 538. Let z = 222 + -222. Is p(z) composite? True Let f = -4951 + 7855. Let r = 1367 + f. Is r a composite number? False Let z = -9951 + 21829. Is z a composite number? True Suppose 2*m - 2709 = f, f + 2173 + 546 = 4*m. Let h = 5808 + f. Is h prime? True Suppose 0 = c + c + 12. Let a be 863 + (-2 - (c + 2)). Suppose -5*k = -405 - a. Is k prime? False Let w(y) = y**3 - 3*y**2 - 33*y + 29. Let t be w(7). Is -4 - 82649/(-9) - t/(-27) prime? False Suppose 7*p - 29 = 41. Suppose 4*w - 2*b = p, -5*b + 3 = -2*b. Suppose q + 945 = 4*t, w = -q + 2*q. Is t a composite number? True Suppose 0 = 2*f + 51 - 55. Suppose -1971 = -q - 3*l + 944, l = -f*q + 5850. Is q a prime number? True Is (-310)/(-25) + -13 + (165192/(-10))/(-2) a composite number? True Let p = 77 + -54. Suppose -25 - p = -12*s. Is (6 - 770/(-4))/(2/s) a prime number? True Let a(m) = 20*m - 22. Let i be a(-3). Let u be 20330/13 - (-2)/13. Is i/8*u/(-17) prime? False Let u be 1 - 2 - (6 - (-9)/(-3)). Let m = u - -9. Suppose -m*s - s = -1338. Is s a composite number? False Let l(v) = -1029*v**3 - 3*v**2 - 178*v - 731. Is l(-4) composite? False Suppose 0 = 3*a + 5*s - 50, 2*a - 2*s - 30 = -6*s. Let k = a - 19. Let b(j) = 2*j**3 - 6*j**2 + 5. Is b(k) composite? True Suppose -155*s + 20195112 = -4777125 + 6559322. Is s composite? True Let w(t) = 162*t + 1561. Is w(61) a composite number? False Let v(m) = 30*m**2 + 5*m + 5. Suppose f - 4*a = 4, -3*f + 4 = -5*a - 8. Let w be f/(-4 - (-5 - -3)). Is v(w) a composite number? True Let b(m) be the second derivative of -m**5/20 - 13*m**4/12 + 5*m**3/6 + 4*m**2 - 50*m. Is b(-27) a prime number? True Let x(w) = 3*w**3 + 55*w**2 + 15*w - 49. Let n be x(-18). Suppose 0 = -n*m + i + 7948, m + 76*i - 1577 = 72*i. Is m a prime number? False Let r = -125 + 392. Let j = 686 - r. Is j a composite number? False Let m be (5 + (-87)/12)*-4. Suppose -4*z - 41 = g, 0 = -2*z + 4*g - 7 - m. Is 2/z - 4536/(-5) a prime number? True Suppose 0 = -43*k + 47*k - 1632. Let i = k - 281. Is i a composite number? False Let m(c) = -2*c**2 - 41*c - 32. Suppose 0 = 6*t + 337 - 235. Is m(t) prime? False Let p be -7*2*(-4)/(-4). Let t(l) = -102*l - 21 + 14 - 266*l - 18. Is t(p) prime? False Let g(r) = r**3 - 14*r**2 - r + 14. Let u be g(14). Let o be u + 212/3 - 5/(-15). Let d = 156 - o. Is d prime? False Let n(l) = -4383*l - 1922. Is n(-21) composite? False Let d = -35026 + 73221. Is d prime? False Let d(z) = z**3 - 8*z - 16*z + 14*z - 5*z**2 - 18. Let u be d(8). Let n = 181 - u. Is n composite? True Let d be -1 + -5 + 42/7. Suppose 5*t + r - 3*r = 17405, d = -3*r. Is t composite? True Let f(q) = 216*q**2 + 18*q + 103. Is f(15) composite? False Let m(j) = 7102*j**3 + 11*j**2 - 38*j + 7. Is m(4) a composite number? True Let n be (-2365588)/174*(3/(-2))/1. Suppose -n = -2*h - 5*b - 4550, -b = -h + 7918. Is h a prime number? True Let i be ((-15)/4)/(-6 - (-477)/80). Suppose -107*c = -i*c - 38899. Is c composite? False Suppose -347*q + 352*q = 70160. Suppose -8*t + q = -0*t. Is t prime? False Let o(t) = -135*t + 23. Let w be (2 + -17)*1 + -1. Let z = -20 - w. Is o(z) composite? False Is ((-186)/(-18) + -10)/(3/(-1650582)*-2) a composite number? True Suppose 160*i
{ "pile_set_name": "DM Mathematics" }
35. 35 Evaluate -228052 + 228136 - (1 + -10 - (0 - (-1 + -1))). 95 What is 19 - -5 - (-18 - -43)? -1 Evaluate 15 + -5 + 4 - 35. -21 What is the value of (-5 - -14) + -46 - -20? -17 Evaluate 1 - -51 - 0 - (1 - (206 - 208)). 49 What is the value of -8 - (0 + -9 + (-186 - -184) + -3)? 6 Evaluate (2 - (-31 + 25 + 19)) + -7. -18 Evaluate 278 + -291 + (9 - -6). 2 Calculate -85 - (-6 - (7 + 1 + -42 + (3 - -36))). -74 Calculate (-20 - -3 - -29) + 0 + (-22 - 8). -18 (0 + -43 - (-265 - -236)) + -52 -66 Evaluate 2 + 2 + 91 + 17738 + -17711. 122 18 - (-82 + 64 + 98 + -5) -57 Calculate -19 + (16 - 7) - -18 - (31 + -18). -5 Calculate (4 + -10 + 4 - 8) + 82 + (-36 - -19). 55 (-18 - -14) + (-15 - (-56 + (14 - 12))) 35 ((-6 - -8) + -125 - (10 + (20 - 40))) + 10 -103 -150 - (-61 - (-4 + -10 - 11)) -114 What is 2 - (-7 + 2) - (72 + -74) - (-99 - -47)? 61 Evaluate (5 + 91 - 19) + 1 - (10 + 6). 62 What is the value of 20 + (8 - 8) + -2 + (-6 - -6 - -8)? 26 What is (-15 + 6 + -38 - -13) + 0 + -4? -38 What is the value of -6 + -8 + 14 + -16 - -23? 7 What is the value of 97 + -13 + 16 + -18 + (-4 - -1) + -7? 72 What is 29 + (21 - 27) + -59? -36 Calculate (2 + -18 - 1) + -1 + (5924 - 5817). 89 What is -94 + 54 - -2 - 6? -44 What is 2 + -41 + -1 + 1 - (1066 + -1074)? -31 -148 + (19 - (21 - (9 + -27 - -42))) -126 -6 - (24 + -42 + -13 - (2 - -4)) 31 (64 - 8 - 6) + -11 39 Calculate -1 + 29 + 11 + (1 - 8) + -10. 22 3 + 3 + -1 + -3 + 539 + -525 - -17 33 Calculate (-54 + 175 - 69) + -121. -69 What is -1 + 13 + 361 + -327 - -34? 80 Evaluate 60 + 29 + -42 - (54 + 93). -100 What is the value of -39 - (-2424 + 2417 + (18 - (1 - 2)) + 1)? -52 73 - (41 + 40 + -32) 24 What is the value of (-4 - -19 - 8 - (4 - 10)) + -36? -23 Calculate 12 - ((-81 - 48 - -63) + (3 - 1)). 76 145 + (-50 + -70 - -15) 40 What is -1 - -2 - (-94 + -23 + -22 + 70)? 70 What is (-43947 - -44065) + 12 + (0 - (4 - 2))? 128 Evaluate 9 + 74 + -26 - 47. 10 Evaluate -52 - (-106 - -18 - -87). -51 Calculate -58 + 93 + 6 - ((-1 - -1) + -6). 47 Evaluate 1532 - 1532 - (103 + 5). -108 Evaluate -22 - (-56 + 32) - -4 - (-59 + -3 + 2). 66 What is -30 + 11 + 22 + (12 + -5 - -33)? 43 Evaluate -46 + 70 + 1 + -64. -39 What is -49 + (-2 - (-40 + 16)) + -16? -43 (17 - (0 + (2 - 4))) + 19 + -19 19 What is the value of (8 - (7 - (-4 + 5))) + 7 + -28 - -4? -15 What is the value of (-23 + 11 - -71) + 9 + -4 + 5 + -10? 59 (-101 - (25 + 48)) + 47 -127 What is (-4 + 3 - (22 + -36 + -1)) + -40? -26 What is the value of 1 + -5 - (-17 + 6 - -6)? 1 (-7 - (-4 - -6)) + (11 - (-17 - -4)) + 1 16 11 + (-19 - (3 + -5)) + (-635 - -656) 15 What is 30 - 81 - (-10 - (-4 - -2) - -22)? -65 Evaluate (105 - 79) + (-3 - 2) + -1. 20 -6 + -1 - (5 - 4) - (27 - (-291 + 418)) 92 Evaluate -5 + -15 + 15 + -8 + (6 - 1 - -87). 79 Evaluate -28 + (-6 - -65) + -75 + 34. -10 -7 + -47 + 58 - (-1 - (0 + -1)) 4 Calculate (21 - 2 - (10 - 1)) + 92 + 5 - 14. 93 Calculate (36 - (-1 - (4 + -32))) + 18. 27 -2 + (-31 + 54 + -26 - (-4 + 33 + -4)) -30 Evaluate -66 + -4 - -40 - 40. -70 (3 - -4) + -754 + 760 - (0 - 0) 13 Evaluate (-108 - -129) + (1 + (0 - -5 - 2) - 1). 24 What is 36 + (26 + -8 - (111 - -7))? -64 Evaluate -17 + (92 - 94) + (5 - 21) + -4. -39 Evaluate (-5 + 1 - 91) + (-19 + -8 - -41) - -6. -75 Calculate -91 + 51 - (-42 - 30). 32 What is (49 - (18 + 25 + -48) - 12) + 14? 56 55 - (25 + -39 + -5) - (0 + 15) 59 (17 + -6 + -6 - 22) + -72 + 81 -8 What is 0 + 1 + 1 + 8 - (138 - (34 - -92))? -2 (2 + -8 - ((-32 - 8) + 36)) + 12 + -74 -64 What is 1 + (2 - 1) - (-30 - -46 - -11)? -25 What is -9 + ((-3 - 2 - 21) + -1 - (-8 - 1))? -27 What is the value of (-7 - 11) + -111 - -9 - (7 - (4 + 1))? -122 Evaluate (-3278 - -3248) + (29 - -2). 1 Evaluate 45 + 9 - -2 - (-20 - 0) - (1 + -3). 78 -10 - -1 - (-17 + 15 + (12 - 14)) -5 2 - -81 - ((-32 - 30) + 89) 56 Evaluate -129 + 132 - 121 - -150. 32 What is -31 + (8 - -18) - (0 - (-1 - 6 - -51))? 39 What is -413 + 497 - (3 - 0)? 81 Calculate -1 - -85 - (1170 + -1099). 13 Evaluate 5 + 12 + -11 + -19 + 6 - -17. 10 What is 74 + 0 + (-10 + (-10 - -12) - (-8 - -3))? 71 What is -37 - ((-15 - -21) + -11 - ((-1 - 3) + -4))? -40 Calculate -33 + (34 - 12 - 29 - (3 + -6 + -4)). -33 Calculate (67 - 45) + 5 + -70 + -7. -50 Calculate -5 + -76 + 3 + -14 + 2 + 18. -72 What is the value of (3093 - 2946) + (-5 - 195)? -53 -14 - (12 - 15) - (5 + -3 + -14) 1 What is the value of -148474 - -148565 - (2 + -1 + (0 - 0) - -2)? 88 Calculate 24 - (0 + -14 - (-259 - -266)). 45 Evaluate (-53 - -20) + -7 - -63. 23 -12 + 10 + 111 + -103 + -6 0 Evaluate -37 - -85 - 61 - -26. 13 What is (-1 - 4) + (10 - (-30 - -19)) + -6? 10 Calculate -19 + (-17 + (2 - -29) - 0). -5 1 - 12 - (17 - 49) - 11 10 Evaluate ((2 - -2) + 4 + 3 - (-14 - -17)) + -31. -23 Evaluate (8 - (8 - 21)) + (332 - 346). 7 Evaluate -8 + 7 + 34 + (38 + -40 - (-8 + -1)). 40 Calculate 37 + -117 - -140 - (3 - (-10 + 1) - 2). 50 Calculate (0 + 21 - -22 - 57) + -28. -42 Evaluate -1 + 19 + -22 - -49. 45 Evaluate (20 - 6) + -26 - (-51 - -100). -61 What is -1 + 10 + 2 + -1 + (-69 - (71 - 113))? -17 What is the value of (1 - -10) + ((91 - 67) + -4 + -41 - -24)? 14 What is the value of 12 + -32 + -23 + 12? -31 What is 9 + 40 - (44 + -16)? 21 Calculate -22 + -136 + 140 + (38 - 0) + 7 + 1. 28 -53 + 73 + 22 + -67 -25 (-91 - (-57 + 50)) + 61 -23 What is the value of -429 + 673 + (-141 - -21)? 124 Calculate -7 + -5 + -7 + (-2 - -19) + (27 - 25). 0 -14 + (20 - -16) + -7 + -37 -22 Calculate -15 + (74 - 14) + (-39 - -30). 36 Evaluate 93 - ((191 - 217) + 0 + 51). 68 What is the value of -3 - (-18 + -2 - (-21 - 1))? -5 Calculate 38 + -42 + -62 + 28. -38 What is -65 - ((2 - -15) + -29)? -53 What is -72 + (22 + -27 - (-3 + -26))? -48 44 + 113 + -38 + -133 -14 Evaluate (9 - 8) + -12 - (19 - -2 - -8). -40 (12 - (42 + -44 + 32 + -3) - -20) + -58 -53 Calculate (6 - 1 - 7) + (935 - 845). 88 What is 18 + -31 - (-7 - -10 - -2)? -18 What is the value of -9 - -3 - (-16 + 15) - (2 + 3 + -4)? -6 What is the value of 6 + -3 - 16 - (-843 + 837)? -7 What is the value of -113 + 4 - (6 + 43 + -44) - -20? -94 Calculate -9 - (-15 - ((7 - -11) + -40)). -16 -6 + 2 + 2 - (159 + -142 + (1 - 0)) -20 What is the value of 5 - (36 + (45 - 122))? 46 What is (20 - 131 - -59) + 23? -29 What is (1 + 0 - 2) + 76 + (76 - 30)? 121 Evaluate -17 + 35 + 5 + (0 - 38) - 72. -87 Evaluate -342 + (104 - -28) + 101. -109 Calculate -16 + 2 + -2 - (-87 + (49 - -243 - 86)). -135 What is the value of -41 + (65 - 136) - -108? -4 What is the value of 5 - (32 - -5) - 3 - (100 + -109)? -26 What is -21 + 4 + -3 + (31 - 12) + (29 - -1)? 29 Evaluate 27 + (-75 - -94) - 46. 0 Calculate 11 - (15 - (-1 + 3 + 13 + -23)). -12 (-54 - -61) + (9 - (-6 - -26)) + -98 -102 What is the value of -57 + 76 + -13 + (1 - -24)? 31 What is (57 - 143) + 44 - -21? -21 What is -6 - (14 - 4 - 32) - 15? 1 -3 + 18 + 1 + -10 - (59 + -7) -46 Evaluate 14 - (-364 + 394 + -66 + 1). 49 Calculate (1 + 5 - 6) + 33 + -54 + -29. -50 What is -88 - -9 - (-13 + 3 + 0 + -7)? -62 16 + 8 - (307 - 211) -72 Calculate -7 + (53 - 33) + (0 - -13). 26 (-44 - -55 - (2 + 9 + -8)) + -2 + 51 57 What is -44009 - -44016 - ((3 - 1) + 53)? -48 Calculate (-6 - -4 - 1) + (-24 - 26) + (-14 - -11). -56 Evaluate (-2 - 0 - 0 - 12) + 35 + -113 + -20. -112 Calculate (-2 + 14 - (18 - 2)) + 8 + -24. -20 What is -43 + 102 + -67 + -32 + 0 + -2? -42 Evaluate 16 + 16 + -33 - (5 + -13 - 80). 87 -3 - 71 - (-3 - 28) - -28 -15 Evaluate 20 + (-135 - -142) + -20 + -1. 6 What is -81 - -2 - (1160 + -1164)? -75 Evaluate 22 + -56 - (51 - 45). -40 What is (3 - (20 + (-56 - -27))) + -104? -92 What is the value of (-172 + 77 - -66) + 90? 61 -152 - (-121 - (87 - 72)) -16 Evaluate -8 + -9 + 49 + (-9 - 3). 20 Calculate (72 - (-16 - -35)) + -75. -22 Calculate -8 + 0 + 11 - -11 - 6. 8 What is 32 + 14 - 61 - -33? 18 -1 + -48 + (-759 - -783) - 27 -52 -399 - -350 - (1 + -5) -45 What is 40 + 41 + -13 + -51? 17 Calculate 69 - (22 + (126 - 101)). 22 Evaluate (-11 - -29) + 10 - -9. 37 Calculate -4 + -8 - 0 - (0 + -1) - 0. -11 Evaluate 25 + -6 + (16 - -8) + -4. 39 -3 + (-1 - (-5 + 5)) - (-166 + 164) -2 Evaluate 55 + -92 - -16 - -45. 24 What is the value of 4 + (17 - -98 - 200)? -81 Calculate -18 + -6 + (25 + 16 - 4). 13 Calculate 88 + -47 + 0 + 11 + (-17 - 7) + 3. 31 -91 + 9
{ "pile_set_name": "DM Mathematics" }
k + 20, -5*k - 1 = -11 for o. 1 Solve -2*v = -206*l + 207*l - 21, 30*v = -3*l + 63 for l. 21 Solve 63*t - 4*o - 240 = 0, -2*t - 2*t + 5*o + 126 = 125 for t. 4 Solve -11*z = 3*l - 13*z + 17 - 58 - 148, 2*l - 2*z = 188 for l. 1 Solve 20 = -4*u, -21*q + 4*u - 115 = 10*q - 3*u - u for q. -5 Solve -5*f - 3832 = -3*l - 3666, -4*l = -89*f - 386 for f. -2 Solve 0 = 4*o + 3*f + 103 - 4 - 133, -13*f = -5*o + 9 for o. 7 Solve -t - 27 = -2*v, 4*t = -v + 4160 - 4142 for v. 14 Solve -4*y + 5*j - 56 = 0, 0 = -y + 1764*j - 1760*j - 47 for y. 1 Solve 6*r = 3*h - 144, 59 = 699058*r - 699062*r + 5*h - 37 for r. -24 Solve 0 = -10*m + 7*m + 15, -8*m + 44 = -h for h. -4 Solve 86*x + 5*b + 31 = 25*x, -4*x - 3*b = -14 for x. -1 Solve 0 = 15*t + v - 146, 28 = 160*t - 158*t - 2*v for t. 10 Solve 6542 - 6571 = -4*d - 3*p, 0 = -d - 5*p - 14 for d. 11 Solve -4*m = 10*t - 70, -673*m + 15 = -339*m - 333*m + 5*t for m. 20 Solve -2045*a + 2046*a = -4, 0 = 28*y + a + 4*a + 384 for y. -13 Solve -r + 605*c + 1 = 608*c, -r - 5*c = -c - 5 for r. -11 Solve 2*n + 892981*q - 36 = 892976*q, 2*q = -15*n - 14 for n. -2 Solve -4*z = -3*c - 27, 21*z = 2*c - 26358 + 26541 for c. 3 Solve -7*c - 64*c = 12*c - 183 - 66, 2*u - 6 + 20 = -5*c - 1 for u. -15 Solve 3*k = 5*f - 10*f + 16, 4298*k - 14 = 4296*k - 4*f for k. -3 Solve -31*p - 79*p = -116*c - 106*p - 376, 4*p - 150 = 3*c for c. -2 Solve -45689*a - 34 = -4*w - 45687*a, -14 = -2*w + 4*a for w. 9 Solve 0*x + x - 14*x + 494 = 45*o - 12*x, -4 = 3*x + x for o. 11 Solve 3*o + 30 = 108618*x - 108621*x, -x + 50 = -5*o for x. 0 Solve 0*s - 4*t - 4 + 0 = -0*s, 15 = -5*s + 2*t + 37 for s. 4 Solve -9*s - 5*a = 12, -6*a + 2*a + 246 = -74*s + 418 for s. 2 Solve p + 7*f + 15 = 0, 5*p - 39 = -559*f + 562*f for p. 6 Solve -4*g = 24*b - 156, 4311*g - 4315*g = -2*b + 26 for g. -3 Solve 115*y = 2*c + 2072, y - 368 = -c - 712 + 361 for y. 18 Solve -4*y = 51831*w - 51834*w + 7, 4*y - 2*w + 6 = 0 for y. -1 Solve -6210*m + 6205*m - 10 = 5*j, -4*j + 4 = -2*m for j. 0 Solve 110 = n + 8*v + 150, -5*n = 2*v + 10 for n. 0 Solve 5*a = -4*q + 8666 - 8704, -a - 18*q - 128 = 0 for a. -2 Solve 8*q - 4*g = 136, -2*q - 6645*g + 6644*g = -30 for q. 16 Solve 4*q + 30*r = -758, -3*q - 5*r = 1783 - 1652 for q. -2 Solve -1663*a + 485*a = 5*s + 5840, 3*s - 49 = a - 14 for a. -5 Solve -7*h + 52 = u, 60*h + 77*h = -2*u + 135*h + 20 for u. 3 Solve 0 = -59985*j + 59994*j + 5*n - 83, -2*j + 2*n = 22 for j. 2 Solve q = 316 - 312, 2*z - 28 = -2*q for z. 10 Solve -29*c + 29 = -14*c + 2*t + 2*t, 5*t = -410*c + 413*c - 29 for c. 3 Solve -62 = 457*l - 454*l - p + 6*p, -11*p - 148 = -5*l for l. 1 Solve 2*k - 2*k = 3*n - 6, -k + 228*n - 75 = 185*n for k. 11 Solve -3*c = 11*o - 3, c - 2999*o + 3001*o = -1 - 3 for c. -10 Solve 0 = 2*x + 3*n + 13, -n = -2*x + 128226 - 128227 for x. -2 Solve -64 = -72412*t + 72408*t - 2*q, 3*q = t + 61 for t. 5 Solve -37*i = -39*i - 3*b - 11, i - 2*b + 23 = 0 for i. -13 Solve -10*y + 10*y = y + 33*a + 48, -5*y - 5*a - 80 = 0 for y. -15 Solve -7 = -f - 3*a + 18, 3*f + 8*a - 5 = 13*a for f. 10 Solve 3*p + 6*s = -45, -6746*s = -6741*s + 45 for p. 3 Solve 226 = f - 76*d, -d = 43*f - 48*f - 7 for f. -2 Solve j - 11*j + 32*l = 37*l - 550, 0 = 146*j + 2*l - 7746 for j. 53 Solve 437845*y - 2*r - 2 = 437848*y, y + 3*r = -3 for y. 0 Solve 2*j + 5*m = -2 - 24 + 9, m = 8*m + 35 for j. 4 Solve 0 = 210*v - 197*v - w - 39, 0 = 20*v - 22*v + 5*w - 57 for v. 4 Solve -13*f + 7 = -18*x + 19*x, -x + 3*x - 70 = 2*f for f. -2 Solve 18*r + 9*r - 24*r + 0*h - 11*h - 11*h + 254 = 0, 5*r - 13 = -3*h for r. -4 Solve 4*r - 8*j + 16 = 0, 128*r - 3 = 128*r + 3*j for r. -6 Solve -2*t + 28*q + 9773 - 9767 = 23*q, 5*t = -6*q + 89 for t. 13 Solve 3*i + 4*w - 2505 = -2558, 0 = -5*i + 5*w + 75 for i. 1 Solve 4*c = 2*z + 30, z + 8*z - 46*c + 42*c + 72 = 5*z for z. -21 Solve 5 = -5*m + 8*w - 130, -137*w + 142*w = 2*m + 63 for m. -19 Solve -3960 + 3984 = -o - 2*w, -6*o - 100 = w for o. -16 Solve 447029*o - 447028*o + 5*p = -67, 0 = -8*o + 4*p - 404 for o. -52 Solve 537097*v - 537093*v + k - 27 = 0, -k + 42 = 7*v for v. 5 Solve -5*m - g = 28, 8*g + 32*g + 79 = -2*m + 17*g for m. -5 Solve -3*b = -4*j - 12, -4*j = -19*j + 2*j + 9*j + 4*b - 12 for j. -3 Solve 0 = 4*m + 20, -244 = -13*k - 172*m + 197*m + 141 for k. 20 Solve 4*f + k = 165, 3*f = -8*k + 3*k + 315 - 170 for f. 40 Solve -77 = 4*z + 4*s - 137, z = 3*s - 108 + 71 for z. 2 Solve 9*y = -17*w + 197, 4*y + 7 + 21 = 4*w for w. 10 Solve -65*y - 3*w + w = -w + 334, 167*w = -5*y + 162*w - 70 for y. -5 Solve -11*u - l = -7*u - 27, -2*u - 4*u - 2*l + 44 = 0 for u. 5 Solve -q + 23*j - 24*j + 57 = 4*q, 0 = -2*q + j + 20 for q. 11 Solve -4*s - 8 = -2*n, 3*s + 11458*n + 6 = 11453*n for s. -2 Solve t - 2*x = -7*x - 26, 3*x + 1 = 3*t - 8 - 3 for t. -1 Solve -23 = -3*l - 2*y + 5*y - 32, 4*l - 12 = 12*y for l. -6 Solve -s = 116*h + 241, -363*h = 3*s - 366*h + 21 for s. -9 Solve 2*g - 49 - 47 = -6*v, 19*g - 15*g = 0 for v. 16 Solve 3*s + 20*f = 4*s - 0*f + 2*f - 87, 23*s + 43 = 12*s - 2*f for s. -3 Solve -3*v = -2*s - 10, 10615*v - 10610*v - 2*s + 15 = -5*s for v. 0 Solve -4*v + 141 - 8 = -9*p, -4*v - 33 - 3 = 4*p for v. 4 Solve 2*x + 3*b = -51, 5*x + 115 - 30 = 10*b - 15*b for x. 0 Solve b = -57 + 30, -12*a + 15*a - 102 = 4*b for a. -2 Solve 361*d - 722*d + 2 = -362*d - 5*c, 0 = d + 3*c + 2 for d. -2 Solve -25*u + 3*j - 2 = -9*u + 1, -5*u + j = 6*j - 5 for u. 0 Solve -5*f - 5*p - 111 = -16, f + 66 + 70 = p + 109 for f. -23 Solve i = 7*q - 248, -7*q + 12*q + 34 - 1 = -6*i + 190 for q. 35 Solve -w + 45159*z - 30 = 45162*z, -12*w - 208 = -2*z for w. -18 Solve 2*y - 18*l = -19*l - 4, -19728*y + 19729*y + 65*l = -14*l - 473 for y. 1 Solve -2888*z + 2893*z = 6*r + 28, z - 2 = 0 for r. -3 Solve 7*m + 27 = 4*m, 4*l - 2*m - 7 = 7*m - 6*m for l. -5 Solve 5*y - 14*t + 202434 = 202823, 2*t + 62 = 2*y for y. 5 Solve -r - 5*b = 36, 608*b = 2*r + 609*b + 45 for r. -21 Solve -11*g - 33 = -5*j - 16*g - 58, 2*g = -481*j + 469 for j. 1 Solve -298409*s - 8 = f - 298411*s, 15*s = -3*f + 102 for f. 4 Solve u + 13 = 2*v, 7*v = 97*u - 92*u + 53 for v. 4 Solve 0 = 5*n - 4*j - 61 + 50, 0 = 4*j + 16 for n. -1 Solve -24 = -2*v + 6*q, -28096*v + 28097*v + 5*q + 4 = 0 for v. 6 Solve -13*s - 1165 = -1256, -5*s + 27 = -4*i for i. 2 Solve 4*g - 10*k - 27 = -6*k - 67, -13*k = 3*g - 12*k - 6 for g. -1 Solve 0 = 3*y + 2*i - 134, 5*i - 127777 = 3*y - 127946 for y. 48 Solve -34*y - 6*g - 228 = 0, -4*g - 79 + 8 = -4*y + 161 for y. 3 Solve -v = -6*a - 34, -11*a + 4*v - v = 2*v + 49 for a. -3 Solve -4*a = p - 42, 14*a - a - 110 = 3*a for p. -2 Solve 32*a - 63*a - 22 = -2*p - 28*a, -4*p - 23*a = 246 for p. -4 Solve -84 = -64779*o + 64776*o + 2*c, 2*o = c + 43 for o. 2 Solve -582*t - 45 = -577*t + 5*h, 6*t - 4*t + 52 = 15*h for t. -11 Solve m - 6 = 5*f - 7*m - 1, 4*m = -6*f + 5*f - 0*m - 29 for f. -9 Solve -22 = -2*q - 2*z, -3*z = -1958*q + 2002*q - 484 for q. 11 Solve -42*h + 4*l + 456 = -186, -3*h + 153 = 4*l + 120 for h. 15 Solve 72*k + 467 = -163*k + 3*u, 2*k + 6 = -2*u for k. -2 Solve 19 = -3*y - 216616*a + 216620*a, -3*y - a = 14 for y. -5 Solve -4*r + 5*v - 86 = 0, -144*r + 4 = -152*r - 2*v for r. -4 Solve -90 = 5*r + 4*s, 27*s - 12 + 82 = 5*r + 23*s for r. -2 Solve -4*b + 3 = -5*k, -11*k - 36 = 60138*b - 60137*b for k. -3 Solve 24*c = -46*w - 18*c + 46*c + 1778, 3*c = 4*w - 144 for w. 39 Solve -5*c - 30 = 5*g, -938*c = -953*c + 5*g - 10 for c. -2 Solve -44*l + 88*l + 448 = 26*w + 46*l, -19 = -3*w - l + 35 for w. 17 Solve -52 = -22754*i + 22755*i + 14*p, -i - 13 = p for i. -10 Solve x + 21 = -9*o, -x = -9*o + 185 - 200 for o. -2 Solve 11360*p = 8*h + 11362*p + 168, 63 = -3*h - 5*p for h. -21 Solve 67 = -5*g - 51*k, k + 3*k - k + 3 + 0 = -g + 4 for g. 7 Solve 3*d - 79 + 88 = 2*w, -5*w - 44*d + 74 = 0 for w. 6 Solve 3*p + 174 = -14*r, -2*p + 2*r = r - 6 - 2 for p. -2 Solve 0 = -x + 4*k + 11 + 2, k = -1674*x - 519 + 2190 for x. 1 Solve -5*n + 531*b + 27096 = 0, 2*n - 2*b + 135 = 243 for n. 3 Solve c + 168 = -5*v + c + 4*c, -218 = 2*v - 3*v - 6*c for v. -4 Solve 5*j + 27*a = 218*a - 382, 72 = j + 4*a + 134 - 70 for j. 0 Solve p = 3*g - 14, 3*g - 4687*p + 4688*p - 22 = 0 for g. 6 Solve 51 = -3*y + 15*k + 2*k, 7*k - 5*k = -4*y + 2*y + 3*y + 6 for y. 0 Solve 401*a - 14*a - 156 = -0*h + 4*h + 155, -2
{ "pile_set_name": "DM Mathematics" }
a Differentiate 1926*l**2 - 10*l - 59863. 3852*l - 10 What is the second derivative of -673150*x**2 + 380004*x? -1346300 What is the derivative of 7*r**3 - 7*r**2 - 5*r - 61336 wrt r? 21*r**2 - 14*r - 5 What is the second derivative of -72308*b**3 - 3*b + 337 wrt b? -433848*b Find the third derivative of -1812512*o**2*v**5 - 694*o**2*v**2 + 2*v**2 - 34*v + 3 wrt v. -108750720*o**2*v**2 Differentiate 1502615*n + 819490 with respect to n. 1502615 Find the third derivative of 2*v**4*x**2 - 21*v**4 - 139*v**3*x - 4*v**2 - v*x**2 - 235*x**2 wrt v. 48*v*x**2 - 504*v - 834*x Find the third derivative of -374520*g**3 - 1075985*g**2. -2247120 Find the second derivative of -11*a**3*d**2 - 13653*a**3 + 1386*a*d**5 - d wrt d. -22*a**3 + 27720*a*d**3 Find the third derivative of -29*a**3*o**3 - 1623*a**3*o**2 + 9*a**3*o - 106*a**2 - 127*o**3 + 2*o**2 wrt a. -174*o**3 - 9738*o**2 + 54*o What is the second derivative of 380925*b**3 - 82793*b wrt b? 2285550*b Differentiate 2*r**3 - 1674*r**2 - 63*r - 759071. 6*r**2 - 3348*r - 63 Differentiate -850370*y - 2713141 with respect to y. -850370 What is the first derivative of -545924*w**2 - 77503? -1091848*w What is the third derivative of 322349*g**6 - 108*g**2 + 19*g? 38681880*g**3 Find the second derivative of 80659*b**2 - 102064*b wrt b. 161318 Differentiate 35*k**3*z - 13*k**3 - 174*k**2 + k*z - 24*z wrt z. 35*k**3 + k - 24 What is the second derivative of 282*d**2*l**3 - 29*d**2*l - 7*d**2 - 3*d*l**2 + 9074*d + 10*l**3 + 1 wrt d? 564*l**3 - 58*l - 14 Find the first derivative of -32533*h**2*x**3 - 144*h**2 + 16*h*x**3 + 5*h + 1 wrt x. -97599*h**2*x**2 + 48*h*x**2 Find the third derivative of -81364*r**5 + 2*r**2 + 469*r - 22. -4881840*r**2 Differentiate -3295*m**2*u**2 - m**2 - 3*m*u**2 + 5853*u**2 + 2*u - 2 with respect to m. -6590*m*u**2 - 2*m - 3*u**2 Find the second derivative of -3694292*w**4 - 192*w + 4274 wrt w. -44331504*w**2 What is the derivative of 171700*q*z**3 + 2*q - 11*z**3 + 2*z**2 + 10*z - 8 wrt q? 171700*z**3 + 2 Find the third derivative of -3*o**2*r**3 + 106894*o**2*r**2 - 8*o*r**3 + o*r**2 - 2360*r**3 wrt r. -18*o**2 - 48*o - 14160 What is the second derivative of 873993*d**5 + 398690*d wrt d? 17479860*d**3 What is the first derivative of 1396454*b**2*x**3 - 2*b*x**3 - 1842496*x**3 wrt b? 2792908*b*x**3 - 2*x**3 What is the third derivative of -406084*v**3 + 79384*v**2 + 2*v + 2 wrt v? -2436504 What is the derivative of 296745*o**2*t**2 + t**2 + 1862*t - 4 wrt o? 593490*o*t**2 Find the third derivative of -345185*g**3 + 6*g**2 + 9419 wrt g. -2071110 Differentiate -1336450*z + 2091. -1336450 Find the third derivative of -292096*g**3 + 7*g**2 - 5484. -1752576 Find the second derivative of -50*t**4 - 7876*t**2 + 364*t - 1096. -600*t**2 - 15752 Find the second derivative of -4*k**2*n**5 + 2*k**2*n**2 - 308*k**2*n + 2*k**2 - k + 2343*n**2 - 56 wrt n. -80*k**2*n**3 + 4*k**2 + 4686 Find the third derivative of -13*k**3*s**3 - 4*k**3*s**2 + 20*k**3*s + 3*k**2*s**2 - k**2 + 393*k*s**3 wrt s. -78*k**3 + 2358*k What is the third derivative of x**6 - 6*x**5 - 1223*x**3 - 10344*x**2? 120*x**3 - 360*x**2 - 7338 Find the second derivative of -7111581*r**2*s**2 - r**2*s - 20*r**2 - 332*r*s wrt s. -14223162*r**2 Find the second derivative of -801429*s**3*z**2 + 2*s**3*z + 75984*s**2*z - 2 wrt z. -1602858*s**3 Find the third derivative of 6*t**4 + 135*t**3 - 20626*t**2 wrt t. 144*t + 810 What is the third derivative of 29198*v**4 + 32*v**2 - 191*v + 1? 700752*v What is the third derivative of 11*g**3*s**2 + 34*g**3*s - 8*g**3 - 4*g**2*s**2 - 40*g*s**2 - s**2 - 7 wrt g? 66*s**2 + 204*s - 48 Find the third derivative of -131483*o**2*r**3 - 1898*o**2*r**2 - o**2*r + 3*r**2 wrt r. -788898*o**2 Differentiate 9894*y**4 - 37533 with respect to y. 39576*y**3 Find the second derivative of -18554*o**4 + 2*o + 10330. -222648*o**2 Find the third derivative of -h*u**6*v + 3*h*u**2*v + h*u**2 + 3827*h*u*v - 24*u**5*v wrt u. -120*h*u**3*v - 1440*u**2*v Find the third derivative of -2337621*j**3*x**3 - 7490*j**3*x - 8*j**2*x - 2*j*x**2 + 8*j wrt x. -14025726*j**3 What is the second derivative of -o**4*w**3 + 19*o**4 - 245*o**2 - o*w**3 - 1258*o*w**2 + o*w - 2*w**3 wrt o? -12*o**2*w**3 + 228*o**2 - 490 What is the second derivative of -1208*n**3 - 38*n**2 - 349926*n? -7248*n - 76 Find the third derivative of -m**6 - 485714*m**5 + 5686*m**2 - 2*m + 12 wrt m. -120*m**3 - 29142840*m**2 What is the derivative of 4443*t**2 + 59*t + 1334522 wrt t? 8886*t + 59 Find the third derivative of -64532*j**6 - 90*j**2 + 472*j. -7743840*j**3 Differentiate -d*w**4 - 356061*d - 856228*w**2 wrt w. -4*d*w**3 - 1712456*w What is the third derivative of -39*j**5*v**2 - 4800*j**3*v**2 - 2*j**2 - 118838*j*v**2 - 2*v**2 wrt j? -2340*j**2*v**2 - 28800*v**2 Find the first derivative of 2549*l**4 + 121*l**3*o - 2*l + 236*o - 691 wrt l. 10196*l**3 + 363*l**2*o - 2 Find the third derivative of -567726*n**3 - 683480*n**2 wrt n. -3406356 Find the third derivative of -1349623*g**3*k**3 - 31794*g**3 - g**2*k**3 - 2*g*k**2 - 2*k wrt k. -8097738*g**3 - 6*g**2 Find the third derivative of 82437*i**3 - 77*i**2 - 174*i wrt i. 494622 What is the third derivative of 26*w**4 - 2508*w**3 - 20369*w**2 wrt w? 624*w - 15048 What is the derivative of 12*a**3 + 4486*a**2 - 3262994? 36*a**2 + 8972*a What is the first derivative of -1895370*r + 394002 wrt r? -1895370 Find the third derivative of 248812*q**6 + 99583*q**2 - 5 wrt q. 29857440*q**3 What is the second derivative of 173369*i**2*v - 32*i*v - 293*v wrt i? 346738*v Find the second derivative of d**3*s**2 + 4*d**3*s + 14*d**3 + 16*d**2 - d*s**2 + 33*d*s - 208*s**2 wrt d. 6*d*s**2 + 24*d*s + 84*d + 32 What is the second derivative of 6*f**4 + 2*f**3 + 37193*f**2 + 107*f + 142? 72*f**2 + 12*f + 74386 What is the second derivative of -6708*u*z**2 - 3*u*z - 2*u - 7*z - 5594 wrt z? -13416*u What is the derivative of 225*b**3 + 45*b + 20632? 675*b**2 + 45 What is the third derivative of -500245*l**5 - 5*l**2 - 61*l + 110 wrt l? -30014700*l**2 Find the third derivative of 4048*n**5 - n**4*y - n**3*y - 10*n**2 - 8*n*y + 31 wrt n. 242880*n**2 - 24*n*y - 6*y Differentiate 201268*r**4 - 80878. 805072*r**3 What is the second derivative of -18*i**3*o**3*y**2 - 53*i**3*o**3 + 6*o**3*y**2 + 291*o**3*y - 4*y**2 wrt y? -36*i**3*o**3 + 12*o**3 - 8 Differentiate 36*x**3*y**4 + x**3 - 2*x**2*y + 1577*x**2 - 29*y**2 + 2 with respect to y. 144*x**3*y**3 - 2*x**2 - 58*y Find the second derivative of 152152*i**3 - i**2 + 324219*i. 912912*i - 2 Find the second derivative of -138573*x**5 + 181707*x wrt x. -2771460*x**3 What is the second derivative of -4*i*z**2 + 11*i*z - 2*i + 89928*z**2 + 33*z + 26 wrt z? -8*i + 179856 What is the third derivative of 911184*a*n**3 + 107*a*n**2 + 2*n**3 - 24*n**2 + 2*n wrt n? 5467104*a + 12 What is the third derivative of 549*u**2*w**3 - 646*u**2*w**2 - 2*u*w**2 - 3*u*w + 2*u + 92*w**6 + 3*w wrt w? 3294*u**2 + 11040*w**3 What is the third derivative of 2*a**3*b**3*o + 152*a**3*b**3 - 189*a**3 + 20*a**2*b**2*o + 1289*a**2*b*o - 2*a**2 - 3*a*b**3*o wrt a? 12*b**3*o + 912*b**3 - 1134 What is the first derivative of 64008*v**2 + 29797 wrt v? 128016*v Find the first derivative of 328*h**3 + 11*h**2 - h + 52633 wrt h. 984*h**2 + 22*h - 1 Differentiate -1838*m**2 + 22*m - 5037934 wrt m. -3676*m + 22 What is the first derivative of -233179*n**4 - 2206470 wrt n? -932716*n**3 Find the third derivative of 217436*g**4 - 22289*g**2 + g. 5218464*g What is the second derivative of -982487*d**3 - 4008110*d? -5894922*d What is the second derivative of -22329*a**3 - 137861*a wrt a? -133974*a What is the third derivative of -501*t**5*z - 62*t**5 + 4*t**2*z - t**2 + 3*t - 393*z wrt t? -30060*t**2*z - 3720*t**2 Find the third derivative of 1118*b*i**3*w**2 - b*i**2*w**2 - b*i**2 + 2*i**4*w**2 - 15*i**2*w**2 - 6*i**2 wrt i. 6708*b*w**2 + 48*i*w**2 What is the third derivative of 283*c**5 - 6*c**4 - 2*c**3 + 42*c**2 + 53*c wrt c? 16980*c**2 - 144*c - 12 Find the third derivative of 183308*b**6 - 5*b**2 + 1631. 21996960*b**3 What is the third derivative of 466*m**5 + 83*m**4 - 2*m**3 + 211*m**2 + 293 wrt m? 27960*m**2 + 1992*m - 12 What is the second derivative of -355*a**3*y**4 - a**3*y - 4*a**3 + 24134*a*y - 5100*y**4 - 2*
{ "pile_set_name": "DM Mathematics" }
e -4*u + 3 - 7 = -4*c, w*u = c + 7 for c. 3 Let k(g) = g**2 + 8*g + 9. Let r be k(-7). Suppose 6*c + r = 7*c. Solve 4*z + q = 3*z - 6, -4*q = -c*z - 6 for z. -5 Let x(p) = 0*p + 4 + 5*p - 6*p + 5. Let g be x(5). Solve -2*f - 5*b + 25 = 3*f, g*f - 5 = b for f. 2 Let r = 66 + -5. Let g = -61 + r. Solve g = 3*h - 7*w + 3*w - 11, h - 3*w = 12 for h. -3 Suppose 0 = 5*w + 4*t - 22, 3*t + 0 - 1 = 4*w. Solve 5*g - w*g + 5*y - 10 = 0, 6 = -4*g + 3*y for g. 0 Suppose h + 7 = 2*a, 15 = 4*h - 5*a + 28. Solve -4*z + 4 = -2*g - 4, h*g - 4*z + 10 = 0 for g. -2 Suppose 6*u - 64 + 46 = 0. Solve 0 = 3*k + u*x - 24, 5*k - 5*x + 6 = -4 for k. 3 Suppose -3*l = 3*h, 2*h - 8 = -0*h. Let k be (-6 - l - -3)*(-12)/(-1). Solve -a + 4 = 0, -o - 4*a + k = -0*a for o. -4 Suppose 0 = -14*z - 34 - 64. Let d = -12 - -31. Let r = z + d. Solve 2*b + 0*b - l = -r, -4*b = 2*l + 8 for b. -4 Let y be 6/4*-1*530/(-159). Solve 0 - 7 = -2*d - 3*o, y*d = 2*o + 27 for d. 5 Let s be (-2 + 4)/(4/(-8)). Let u be (-2)/((0 - -3) + s). Solve 0 = -u*c + 3*d, 3*c = -c + 4*d + 4 for c. 3 Let s = -11 + 19. Let w = 28 - s. Solve 0 = -2*o - 2*d - 16, d - w = 5*d for o. -3 Let h(t) = t**3 + 50*t**2 + 51*t + 102. Let a be h(-49). Solve 5 = -5*n + a*s, n = -0*n + s - 1 for n. -1 Suppose -255*v = -257*v + 10. Solve 4*l - v*r = 9, -4*l - 4*r - 9 = -9*l for l. 1 Let u(r) be the third derivative of -15*r**4/8 - r**3/3 + 9*r**2. Let j be u(-1). Suppose 13 = 4*v - j. Solve 6*l - t - v = l, -2*l + 2*t = -4 for l. 3 Suppose -3*q - 8 = -4*t, -1 = q + 2*t - 3*t. Let d = 60 - 24. Let a be (-2 - 40/(-18)) + 352/d. Solve -u = 4*i + a, q*u + 2*i + i + 14 = 0 for u. -2 Suppose 2*l = -2*l + l. Solve l = 2*v - b - b + 4, 2*v + 10 = 4*b for v. 1 Suppose 2*r - 2*s = 48, -30*s + 25*s = -4*r + 101. Solve 5*a - 4*j + 10 = 3*a, 4*j - r = 5*a for a. -3 Let z(i) be the second derivative of i**5/20 - i**4/4 - i**3/2 + i**2/2 - 11*i. Let u be z(4). Solve u*y = -5*c + 35, 0 = -4*y + c - 3*c + 22 for y. 4 Suppose -3*l + h = 1 - 3, 8 = 5*l - 4*h. Let c be (-3)/(-2)*28/(-42). Let n be (-1 + 2)*c*l. Solve 2*g = -4*z + 14, n = 3*g - 3*z - 6 - 6 for g. 5 Let g be 6*4/6*-2. Let f be (-42)/g + 2/(-8). Let r = 12 + -8. Solve -w - 8 = -r*s - 32, 0 = -f*w - 5*s - 5 for w. 4 Let u be ((20/(-4))/5)/((-1)/3). Solve 3*k = u + 3, 6 = -a + k for a. -4 Suppose -2*a + 72 = a. Suppose 0 = 4*t - 4*n - a, -2*t - n = n - 4. Solve r - 3 = 4*m + 8, -2*r - t = 5*m for m. -2 Suppose -b = -0 - 5. Suppose -5 = 12*v - 13*v. Solve -3*y = 2*y + 5*h + b, v*h + 15 = 5*y for y. 1 Let a(b) = -140*b**3 + b**2. Let d be a(-1). Suppose 137*l = d*l - 72. Solve -4*z - 4*h = -16, -5*h + l = z + 6 for z. 2 Let q(i) = 4*i**2 + 24*i. Let c be q(-6). Solve c*s + 2*g + 30 = -4*s, 3*s + 2*g + 25 = 0 for s. -5 Let s(z) = -z**2 + 5. Let c be s(0). Let d = -28 - -92. Let k = d + -62. Solve 4*w - c*b + 29 = 0, -k*w + 5*b - 26 = -w for w. -1 Suppose 2*u - 6*u = 3*y - 14, 0 = -y - 2. Let q = 1957 - 1955. Solve q = 2*o + m, 4*o - 16 = -4*m + u*m for o. 3 Let m be 4/(-18) + 11/9. Solve -n = -a - 0*n + m, a - 5*n = 5 for a. 0 Suppose -24 + 9 = -3*u, 0 = -4*o - 5*u + 77. Suppose -5*b - o = -c, -5*b = -3*c + 7*c - 2. Solve 4*z = 0, -3*k - 5*z + 2*z - c = 0 for k. -1 Let u be 5/((-45)/(-2)) + 2/(-9). Solve 5*d - 20 = 0, u = -5*s - 3*d + 27 for s. 3 Let t(k) = -2 - 69*k + 32*k + 38*k. Let o(b) = -2*b - 8. Let s be o(-6). Let d be t(s). Solve -q + d*q - 2*p - 6 = 0, -5*q + 9 = -3*p for q. 0 Let h(k) = -5*k**3 - 3*k**2 - k + 1. Let c be h(-2). Let g = 52 - c. Let m = -19 + g. Solve 0 = -m*t - 2*q - q + 17, 3*q - 5 = t for t. 4 Let z = 1223 - 1218. Solve -z*v = -2*c - 42 + 11, c - 2 = -v for c. -3 Let o be (40/160)/((-2)/(-16)). Solve 0 = v + o*m - 6 - 6, 0 = -5*v - m + 24 for v. 4 Let u = 28 - -48. Let b = u + -36. Let a = b + -36. Solve a*i + 4 = -4*f, -5*f + i - 7 = 16 for f. -4 Let k be ((-21)/42)/(1/76). Let y = -13 - k. Solve -o + 3*o + 11 = -s, 0 = -5*o - y for s. -1 Let n(d) = d**2 + 6*d - 14. Let c be n(2). Solve -18 = 4*u - r - 4, r = u + c for u. -4 Let t = -20 + 11. Let m be 6/t + (-141)/(-9). Let z = -13 + m. Solve 4 = -3*h + z*l, 3*h + 2*h - 15 = -l for h. 2 Let b = -447 + 450. Let d = -5 + 8. Suppose 1 - 3 = -3*i - 2*n, -3*n = -i + 19. Solve 16 = -i*y, -3*y = 3*v + b + d for v. 2 Let j(q) = -q**3 - 4*q**2 + 5*q. Let h = -6 - -8. Let i be (-1)/(h + -1) + -4. Let o be j(i). Solve -3*g = 4*y + 2, o*g = -5*g + y - 11 for g. -2 Suppose 17*x - 21 = 12*x - a, -2*x + 5*a + 3 = 0. Solve 2*d = j - 10, -6*d - 31 = -d - x*j for d. -3 Suppose -128*c + 124*c - 5*p + 60 = 0, -4*c + p + 60 = 0. Solve 0 = -5*l - d + c + 2, -5*d - 15 = 0 for l. 4 Let z(x) = 2*x**3 - 19*x**2 - 10*x + 2. Let u be z(10). Solve 0 = -u*t + g + 8, 5*g + 1 + 4 = 3*t for t. 5 Let x be -1 - (-5)/(5/2). Let f be x + (0 - -4) + -1. Solve -3*t = 2*t, 3*s - f*t = 6 for s. 2 Let u(w) = -w**2 + 3*w + 42. Let j be u(-5). Solve 4*m - 10 = -5*f, j*f - 4 = m - 0 for f. 2 Let w = 228 + -220. Solve 0 = 6*u - 2*u + 2*h + 8, -4*h = -w for u. -3 Let o be ((-1)/(-1 - 0))/(13/104). Solve u + 20*y = 22*y - o, -5*u + 4*y = 28 for u. -4 Suppose -3*h + 0*o - 3*o = -9, 5*h = -o + 7. Suppose h = -d + 1. Solve d = r + 4*y - 3 + 2, 3*r = 4*y + 3 for r. 1 Let b be (-1)/6 - -13*(-3)/(-18). Let j be -6*b*-1*3/9. Solve 2*f - 22 = -4*s, -j*f = 3*s - 28 + 4 for f. 3 Let p(x) = -x + 1. Let t be p(-4). Let q(d) = 24*d - 1030. Let c be q(43). Solve 4*j - 4*f - 3 + 19 = 0, t*j = -c*f - 20 for j. -4 Let m(t) = t**3 - 15*t**2 + 27*t - 12. Let f be m(13). Solve 5*r = -2*q + 7, -q - 2*q = -4*r + f for r. 1 Let o be (-2)/3*(-48)/16. Solve -u + o*z = -0*z + 8, z = -u - 2 for u. -4 Suppose 0 = 2*b - 50 + 20. Let i(m) = 2*m**2 + 3*m - 4. Let x be i(-3). Suppose 7 + 3 = x*s. Solve -s*p - 7 = -5*v + 8, -b = 5*p - 5*v for p. 0 Let q(h) = h - 6. Let l be q(5). Let y be (-2)/(-4)*(l - -11). Suppose -59*t + 4*t + 275 = 0. Solve 2*d + 1 = -2*o - 1, -t*d = o + y for o. 0 Suppose -8 = -z - 5*y, y - 4 = -3*z + 2*z. Let d(w) = -w**2 + 10*w - 10. Let q be d(9). Let l = z + q. Solve 0*f = -l*p - 4*f - 16, 4*p + 4*f = -20 for p. -2 Let b(l) = 27*l - 188. Let n be b(7). Solve 2*p - 4*c = p - n, -p - 2*c = -5 for p. 3 Suppose 5*o = -6*k + 9*k - 29, -4*o = -2*k + 20. Solve -4*c + 0*c = 3*n - k, -4*c = -2*n - 8 for c. 2 Suppose 0 = -17*m + 14*m + 12. Suppose -4*a = 4*y + m, 3*a + 2*a + 2*y - 4 = 0. Solve 5*j = -a*x - 17, -2*x + 2 = j - 1 for j. -5 Let a = 34 + -24. Let i(f) = 5*f - 3. Let p be i(3). Suppose p = 3*q + 3*q. Solve 0 = o + 4*r - 12 + 1, -4*o + q*r = a for o. -1 Let m = -3 + 7. Suppose 23 = i + 4*i + m*w, -5*w = i - 13. Let z be (-128)/(-24) + 2/i. Solve -z = -2*g - f, 4*g = -g + f + 8 for g. 2 Suppose 0 = -8*o + 4*o. Let n(h) = 8*h - 9*h + 4*h**2 - 2*h**2 + o*h**2 + 1. Let v be n(1). Solve -t - 5*b - 5 = 3*t, v*b = t + 11 for t. -5 Let p = -56 + 58. Suppose 8 = 2*l - 2*v, -2*v + 16 = 5*l - 5*v. Solve 3*d = -4*n + 4, -p*d - l*d - 3*n = -3 for d. 0 Suppose -5*s - 81 = -4*t, 3*s + 111 = 4*t + t. Solve h = 5*a - t, 0 = -a - 4*h - h + 10 for a. 5 Let b(m) be the first derivative of -8/3*m**3 + 1/4*m**4 - 12*m - 6 + m**2. Let y be b(8). Solve 5*u + 19 = 2*h, 0 = -h - y*u - 31 + 8 for h. -3 Suppose 0 = 35*t - 40*t + 10. Let a(p) = p**3 - 6*p**2 + 7*p - 6. Let m be a(5). Suppose -b = m*b - 20. Solve 4*s = 8, q + t*s = -b*q - 21 for q. -5 Suppose 7*v = 69 - 55. Solve 0 = -k - 2, v*z - 8 = z + 3*k for z. 2 Let b = 16 + 6. Suppose 6*a = -4 + b. Solve 5*o = 2*m - 25, -10 = a*m - 5*m for o. -3 Suppose -134*d + 896 = -78*d. Let h be 2/2 - 3 - -4. Suppose h*y + y = 0. Solve -4*a = 3*c - 6*a - 20, y = -4*a - d for c. 4 Let j(v) = -3*v**2 + 14*v + 15. Let z be j(7). Let d be 8/(-20) - z/10. Solve -n + 3*n = -4*w - 2, -4*n = d*w - 11 for n. 5 Let n(x) = -2*x**3 - 4*x**2 - 6*x - 7. Let y be n(-2). Solve 3*k + 0*k + 9 = -4*b, y*b - 6 = 2*k for b. 0 Let u = -7 - -7. Suppose -4*a - d - 1 = 0, u*d + 2 = -4*a - 2*d. Suppose -4 = -2*y - a. Solve -3*n + 9 = -y*c + 28, -2*n - 12 = -c for c. 2 Suppose -n = 2*k - k - 7, 2*k + 6 = 3*n. Solve 4 = -n*g, -h + 17 = 3*h + 3*g for h. 5 Let w(h) = 6*h**2 - 3*h**2 + 2*h**2 - 2*h + 1. Let q(k) = 2*k**2 + 21*k - 10. Let t be q(-11). Let d be w(t). Solve 3*m + v = -3 + d, 2*v = 4*m - 8 for m. 1 Suppose 317 = -3*c - 5*q, 5*c = 5*q - 246 - 349. Let b = -
{ "pile_set_name": "DM Mathematics" }
6000 Let t be 132209990/45 - (-10)/45. What is t rounded to the nearest one hundred thousand? 2900000 Let m = -107.8423446 - -107.5873. Let j = 0.255 + m. Round j to 5 decimal places. -0.00004 Let g = 47970 - 27370. What is g rounded to the nearest one hundred? 20600 Let y = 266.8539 - 267. Round y to two dps. -0.15 Let k be ((-51)/((-459)/(-70800)))/(1/(-375)). Round k to the nearest one million. 3000000 Suppose 2*t + t - 18 = 0. Let d be (t/9)/((-2)/120). Let r be (2700/(-9))/(2/d). Round r to the nearest 10000. 10000 Let y = -2533.29 + 2471.2838. Let r = -62 - y. What is r rounded to 3 decimal places? 0.006 Let w = -24507417 - -15367417. What is w rounded to the nearest 1000000? -9000000 Suppose 2*g + g = 3*t - 323088, 3*g = 4*t - 430788. Round t to the nearest 100000. 100000 Let g = 36 + 35. Let b = 71.000015 - g. Round b to four dps. 0 Let i = -0.801 + 0.801738. Round i to four decimal places. 0.0007 Let x(r) be the second derivative of -4*r + 0 + 49999/3*r**3 + 2*r**2. Let n be x(2). Round n to the nearest 100000. 200000 Suppose 2*z + 5*j = 4, 2*z - 6 = -z - 4*j. Let b be 15/z*(5505/(-9) + -3). Round b to the nearest 100. -4600 Let c(u) = 15*u**3 + 22*u**2 - 21*u - 28. Let o be c(19). What is o rounded to the nearest ten thousand? 110000 Let g(t) = -t**3 + 6*t**2 - 5*t + 5. Let d be g(5). Let c = d - -1. Let b(k) = k**3 - 8*k**2 + 4*k + 5. Let h be b(c). Round h to the nearest 10. -40 Let v = -1397562.7999991 - -1397563. Let f = -0.2 + v. What is f rounded to 6 decimal places? 0.000001 Let s = -1999395835136 - -1999394585887.999991. Let r = s + 1249245. Let v = 3 + r. What is v rounded to 5 decimal places? -0.00001 Let l = 2982911 + -2982910.6400014. Let z = -0.36 + l. Round z to 6 dps. -0.000001 Let a = 11 + -7. Suppose 2*o - 30800 = -t - 6801, a*o - 48018 = 2*t. Suppose 0 = -3*b + b + 2, 5*v - 2*b + o = 0. Round v to the nearest 1000. -2000 Let q = 5145.791 + -5141. Round q to 0 decimal places. 5 Let a = 2.172 - -25.838. Round a to zero decimal places. 28 Let q = 34.953 - 35. Let f = 2333152.95299845 + -2333153. Let h = f - q. What is h rounded to 7 decimal places? -0.0000016 Let c = -20.6 - 4.4. Let u = c - -24.9999997. What is u rounded to seven decimal places? -0.0000003 Let j = -0.1128 - 0.0473. Round j to 2 dps. -0.16 Suppose 2*g + 6 = 4*w + 2, -w = -3*g + 9. Suppose -8*k = -g*k - 720. What is k rounded to the nearest 100? 200 Let h = -522.999999519 - -523. What is h rounded to 7 decimal places? 0.0000005 Let z be (0 - (-16615)/10)/((-2)/4). Let l = z - 6677. Round l to the nearest 1000. -10000 Let i = 0.1039 - 0.106257. What is i rounded to 4 dps? -0.0024 Let t = 52 - 46. Let u be t/14 + (-308703)/7. Round u to the nearest 1000. -44000 Let f(y) = 681*y**2 - 5*y. Let b be (-24)/(-5) + 7/35. Let z be f(b). What is z rounded to the nearest one thousand? 17000 Let b = -12 - -11.58. Let w = 0.41999916 + b. Round w to 7 dps. -0.0000008 Suppose 3*u - 2 = -5*z + 3*z, -4*u + z = -21. Let o be (11/11)/((-2)/u). Let x be 2 + (-156 - -2) - o. Round x to the nearest one hundred. -200 Let w = 431.54 - 431. Round w to the nearest integer. 1 Let l = -203.0421 - -0.2421. What is l rounded to the nearest ten? -200 Let c(d) = 42300*d**2 + 46*d - 184. Let f be c(4). What is f rounded to the nearest ten thousand? 680000 Let b = 899 - 1158.2. What is b rounded to the nearest one hundred? -300 Let f = 2555 - -13095. Round f to the nearest 1000. 16000 Let k = -25 - -4. Let m = k - -26. Suppose -500006 = -a - 4*a + 2*r, -a + m*r = -100015. What is a rounded to the nearest one hundred thousand? 100000 Let k = 20634582 + -39174582. What is k rounded to the nearest 1000000? -19000000 Let t = -255.1 + 256. Let x = -13676240 - -13676240.8999983. Let g = t - x. What is g rounded to 6 decimal places? 0.000002 Let z = -0.78 + 1.0065. Round z to two dps. 0.23 Let k = -359 + 302.9. Round k to the nearest ten. -60 Let l = -5 + 11. Suppose -3*u - 339000 = -l*u - 3*x, 3*u + 5*x - 339000 = 0. Round u to the nearest ten thousand. 110000 Let w = 10597.114 + -11067. Let v = -469 - w. Round v to 1 dp. 0.9 Let t = 17.9377344 - -0.0623056. Let j = 0.3 - 18.3. Let b = j + t. What is b rounded to five dps? 0.00004 Let d = -2.3 + 1.3. Let c = 1.075 + d. Let s = 0 + c. What is s rounded to 2 decimal places? 0.08 Let m be (-2)/8 + 173485/4. Let k = m + -15571. What is k rounded to the nearest one thousand? 28000 Let p = -509.9826 + 510. What is p rounded to three dps? 0.017 Let w = 366792 + -367990.944. Let x = 1198.74400175 + w. Let r = 0.2 + x. What is r rounded to seven decimal places? 0.0000018 Let g = -2038482 + 2037526.993. Let r = g + 954. Let u = -1 - r. Round u to three dps. 0.007 Let p = 62 - 44. Let n = p - 16.2. Let a = n + -8.6. What is a rounded to zero dps? -7 Let w = 74636.25 + -74657.249924. Let j = -21 - w. What is j rounded to five decimal places? -0.00008 Let s = -474 - -574.1. Round s to the nearest ten. 100 Let r = 23925 - 40228. Let p = r + 16226.933. Let o = p + 76. Round o to two dps. -0.07 Let i = 0.074 + -0.064288. What is i rounded to three decimal places? 0.01 Let v = 204.82 + 5.18. Let t = v - 214.02. Let w = t + 0.42. Round w to zero decimal places. -4 Let m = 19.7 + -7. Let k = m - 12.69999603. What is k rounded to seven decimal places? 0.000004 Let y = -2292 + 2270.63. Let c = y - 0.03. What is c rounded to the nearest integer? -21 Suppose 19*p + 10 = 24*p. Let f(r) = 200001*r - 3 - 2 + 3. Let w be f(p). Round w to the nearest one million. 0 Suppose -224904 - 250076 = 5*o. Let x be (-4 + 2)*2 + o. What is x rounded to the nearest ten thousand? -100000 Let f = -19.857 - -0.457. Round f to zero decimal places. -19 Let k = 978.0394 - 978. Round k to 2 dps. 0.04 Let d = 0.58 + -0.675. Let v = 0.095101 + d. What is v rounded to 5 decimal places? 0.0001 Let x = 198 - 228.5. Round x to the nearest integer. -31 Let s = 11572.3 - 12166. Round s to the nearest ten. -590 Let v(p) = -5010*p**2 + 9*p - 4. Let g be v(19). Let z = -8348443 - g. Round z to the nearest one hundred thousand. -6500000 Suppose 4*c - z = 10, 14 + 2 = 2*c + 5*z. Suppose -1207185 + 116840 = -5*q. Suppose -c*k + 141925 = o - q, 4*o - 5*k = 1440010. Round o to the nearest 100000. 400000 Let a = -1.407 - -1.26. Let n = a + 17.747. Let u = 17.600161 - n. What is u rounded to five dps? 0.00016 Let l = -55.16361 + 633.27101. Let b = 578 - l. Round b to two dps. -0.11 Let z = 1.66 + -1.734. What is z rounded to one dp? -0.1 Let z = 1.216 + -45.496. Round z to zero dps. -44 Let y = -70.5 + 30.3. What is y rounded to the nearest integer? -40 Let t = -1152 - -1099.96. Round t to the nearest 10. -50 Let p = 16 + 24. Let l = 33.71969169 - -6.28031541. Let w = l - p. Round w to 6 dps. 0.000007 Let i = 566691049.9999937 - 566690899. Let x = 147.43 + 3.57. Let y = x - i. What is y rounded to six dps? 0.000006 Let f = -985 - -985.00000825. What is f rounded to seven dps? 0.0000083 Let r = -4 - -4. Suppose 0 = 5*k - r*k - 20. Suppose -k*c - c = -6700000. What is c rounded to the nearest one hundred thousand? 1300000 Let g = 209619 + -209583.0033. Let p = g - 36. What is p rounded to 3 dps? -0.003 Let m = -213.296 - -0.296. Let y = m + 213.0000595. Round y to six dps. 0.00006 Let j = -40 + 42. Suppose a = -j*a - 195. What is a rounded to the nearest 10? -70 Let g = -17 + 5.9. Let t = g + 11. Let a = t - -0.25. What is a rounded to two decimal places? 0.15 Suppose 3*x - 24635 = 5*o, -719 = 5*o - 5*x + 23906. What is o rounded to the nearest 1000? -5000 Let i = -626441 - -626425.00038. Let u = 0.081 + -16.081. Let o = u - i. Round o to four decimal places. -0.0004 Let k = 86.0000103 - 86. What is k rounded to 6 decimal places? 0.00001 Suppose 5*z - 27 = 4*o, 5*z - 3*o - 24 = -0*o. Suppose -7*t + z*t = 896000. What is t rounded to the nearest 10000? -220000 Let r(y) = 3*y - 61. Let k be r(9). Let h be (-4 + 2)*(-17)/(k/806000). What is h rounded to the nearest one hundred thousand? -800000 Let k = -541 - -539.814. Round k to one dp. -1.2 Let j be (-2 - (-1)/2)*-2. Suppose -z + j = -0*z. Let n(f) = 2898*f + 6. Let k be n(z). What is k rounded to the nearest 1000? 9000 Suppose 0 = z - 6*z + 285. Let q = 34 + -32. Suppose 3*h = 4*b - 0*b + z, -q*b - 25 = -5*h. Round b to the nearest ten. -20 Let i = -32
{ "pile_set_name": "DM Mathematics" }
and -l**3 + 16*l**3 - l**3 + (2*l + 0*l - l)*(l - l - l**2) + 2*l**3 + 0*l**3 + 3*l**3. 18*l**3 Expand (3*d - d - d)*(380*d - 331*d + 374*d + 235*d). 658*d**2 Expand 4*m**5 + 7*m**5 - 2*m**5 + m + m**5 - m + (-7*m**2 - 6*m**4 + 7*m**2)*(3*m + 0*m + 2*m). -20*m**5 Expand (-34*w**2 + 19*w**2 + 8 + 16*w**2)*(2*w - 3*w**2 - 2*w)*(-14 - 7 + 9). 36*w**4 + 288*w**2 Expand 95*f**3 - 11*f**3 - 6*f**3 + (3*f - 2*f + f)*(-2*f**2 + 6*f**2 - 2*f**2) - f**3 + 1 - 1 + 3*f**3 - 5*f**3 + 0*f**3. 79*f**3 Expand (-3 + 5 + 1)*(0 + 2 - 1)*(218 - 218 + 38*x) + x + 0*x + 0*x. 115*x Expand (2*o + 0*o - 3*o)*(5*o**2 + o**2 + 2*o**2 + (2 + 3 - 7)*(2*o**2 + 2*o**2 - 3*o**2)). -6*o**3 Expand -o - 2*o + 5*o + (-4 + 1 + 1)*(-o + 3*o + 0*o) + 2*o + 2*o - 3*o + 632*o - 11 - 629*o + 46. 2*o + 35 Expand -110*i**2 + 65*i**2 + 103*i**2 + (-i + 0*i + 0*i)*(-2*i + 4*i - 4*i) - 3*i**2 - 1 + 1 + i - i + 2*i**2. 59*i**2 Expand (-7 - 15 + 5)*(-6*y - 2*y + 2*y)*(5*y + 4 - 4). 510*y**2 Expand (-2*q - 2*q + 5*q)*(15*q**3 - 31*q**2 + 31*q**2 + (0 + 0 - q)*(-q**2 - q**2 + 0*q**2)). 17*q**4 Expand (5 - 34 + 2)*(-3 + a + 3)*(3*a + 3*a - 7*a). 27*a**2 Expand (l**2 + 3*l**2 - 3*l**2)*(198*l - 152 - 397*l + 198*l). -l**3 - 152*l**2 Expand (-a**2 + 4*a**2 - 5*a**2)*(4*a + 0*a - 6*a)*(-241 + 108 - 233). -1464*a**3 Expand 3 - 3 - 2*u**3 + (1 + u - 1)*(16*u**2 + 21 - 21) + u**3 + 4*u**3 - 4*u**3 + (-u + 3*u + u)*(-2*u**2 + 0*u**2 + u**2) - 3 - 2*u**3 + 3. 10*u**3 Expand (2*a**2 - a**2 - 9*a**2)*(1 + 1 + 1)*(-1 - 1 + 3). -24*a**2 Expand (-14*a + 9 - 10*a + 23*a)*(-27*a**2 + 27*a**2 - 38*a**3). 38*a**4 - 342*a**3 Expand (-1843 + 27 + 218 + 29*i**2 - 30*i**2)*(0*i**2 + 4*i**2 - 2*i**2). -2*i**4 - 3196*i**2 Expand (8*l**4 + 10*l**4 + 3*l**4)*(1 + 1 - 1)*(5 + 1 - 2)*(1 - 3 + 3). 84*l**4 Expand (0 - 1 - 2)*(1 + 5*d + 0 + 1) + d + d + d. -12*d - 6 Expand (2*c - 7*c - 4*c)*(-3*c**2 + 0*c**2 + 0*c**2)*(c**2 + 3*c**2 - 3*c**2). 27*c**5 Expand (1 - 3 - 4)*(-32 + 50 - 51*f - 18). 306*f Expand -6*i - 2996 + 2996 + (-1 + 2 + 1)*(13*i + 29 - 29). 20*i Expand -51*z**4 - 61*z**4 - 8*z**4 - 2*z**4 - 3*z**3 + 3*z**3 + z**4 + (z**3 - z**3 - z**3)*(-z + 0*z - z). -119*z**4 Expand (3 - j - 3 - 2)*((2 + 0 + 1)*(-3 + 2 - 1) - 230 - 327 + 464). 99*j + 198 Expand (-4*x**3 + 4*x**3 - 3*x**4)*(1 - 2 - 8) + 3*x**3 - x**4 - 3*x**3 - 8*x**4 + 2*x**4 + 2*x**4. 22*x**4 Expand (-4*b + 3*b - 3*b)*(5*b**2 - 8*b**2 + 5*b**2 - 11 + 11 - 6*b**2 + 3*b**2 - b**2 + 0*b**2 + (3*b + 0*b - b)*(-1 + 1 + 2*b) + 2*b**2 + 3*b - 3*b). -16*b**3 Expand (-32 + 17 - 2*o + 16)*(0*o**4 + 5*o**4 + 0*o**4). -10*o**5 + 5*o**4 Expand (s + 4 + 3*s - s)*(9*s - 31 + 31). 27*s**2 + 36*s Expand (-22 + 22 + 2*j**4)*(-1 + 2 + 3) - 2*j + 2*j - j**4 + j**3 - 2*j**4 - j**3 + (j + 3*j - j)*(-2*j**3 - 3*j**2 + 3*j**2). -j**4 Expand (-3*v + 0*v + 4*v)*(-13*v**3 - 8*v**3 + 9*v**3) + 0*v**2 - v**4 + 0*v**2 + 0*v**2 + v**4 + 0*v**2 + (2*v**2 + v - v)*(2*v**2 + 4*v**2 - 4*v**2). -8*v**4 Expand -3*k**4 + 4*k**3 - 4*k**3 - 2*k**4 + 5*k - 5*k - 3 - 2*k**4 + 3 + (1 - 1 - k**2)*(-2*k**2 + 0*k**2 + k**2) + (0*k**3 - k**3 - 3*k**3)*(-k - 2*k + 0*k). 6*k**4 Expand (29*v**3 + 6 + 1 - 9)*(2*v + 7*v**2 - 2*v). 203*v**5 - 14*v**2 Expand m + 6*m - 205 + 203 + 2*m**2 + (-3 + 1 + 3)*(-m**2 + 3*m**2 + 0*m**2). 4*m**2 + 7*m - 2 Expand (5*y - y - y)*(71 - 8 + 45). 324*y Expand (-80*g - 1670 + 1670)*(-g + 0*g - g) + 1 - 2*g**2 - 1. 158*g**2 Expand (22 + 13 + 3)*(2 + 1 - 5)*(3*g**3 - 3*g**3 + 2*g**3). -152*g**3 Expand (2*k - 2*k - 2*k)*(34*k**2 + 48*k**2 - 131*k**2). 98*k**3 Expand (5*o - 10*o - 12*o)*(3 + 1 + 1)*(-2*o + 4 - 4). 170*o**2 Expand (-18*y**3 - 4*y**3 - 26*y**3)*(0 + 1 + 0) + (-3*y**2 + 0*y**2 + y**2)*(-1 + 1 - 2*y) - 3 - 2*y**3 + 3. -46*y**3 Expand r**4 + r**2 - r**2 + (0 + 0 + 2*r)*(-2*r + 4*r - 491*r**3 + 530*r**3). 79*r**4 + 4*r**2 Expand (-7*k - 15*k - k)*(-4*k + 7*k**3 + 4*k - k). -161*k**4 + 23*k**2 Expand (-4*k**3 + 6*k + 5*k**3 - 3*k**3)*(4 + 5 + 8). -34*k**3 + 102*k Expand (-526*j - 14*j + 66*j)*(-4 + 0 + 2). 948*j Expand 13*w**4 - 4*w**3 + 4*w**3 + (2*w**2 - 2*w**2 - w**3)*(-3*w + w + 3*w) + (-6 + 6 + w)*(-3*w - 2*w + w**3 + 4*w). 13*w**4 - w**2 Expand (15*z - 3*z - 2*z)*(10*z**2 + 26*z - 26*z) + (-z + z - z)*(-2*z**2 - 2*z + 2*z). 102*z**3 Expand (0*w + 5*w - 3*w)*(7*w**3 - 8*w**3 + 13*w**3) - 14*w**4 + 5*w**4 - 6*w**4. 9*w**4 Expand (6 + 4 - 4)*(-2 + 2 + 1)*(-43*w - 46*w + 60*w) + 0*w + w + w + 0*w + 0*w - 2*w + (1 + 3 - 2)*(-1 + 1 - 2*w) + 0*w - w + 0*w. -179*w Expand (-x - 5 + 5)*(0*x**4 + 18*x**4 - 8*x**4 - 4*x**4 - 2*x**4 + 3*x**4 + (2*x**3 - 3*x**3 + 0*x**3)*(x + x - 3*x) - 2*x**4 + 1 - 1). -6*x**5 Expand (-1 + 3 - 3 + (-4 - 2 + 0)*(1 - 1 + 2))*(0*a + 2*a - 4*a). 26*a Expand (-14 - 5 + 27)*(-190 - 70*o**2 + 190). -560*o**2 Expand (-3 + 3 + q)*(-q - 12*q + 4*q) - 4*q + 4*q + 7*q**2 + 3*q + q**2 - 3*q. -q**2 Expand (-2*g + 8*g**2 - 36 - 36 + 74)*(3*g - 4*g - g). -16*g**3 + 4*g**2 - 4*g Expand (-3*x + 4*x + 0*x)*(-2*x**2 + 3 - 3) - 71*x**2 + 71*x**2 + 55*x**3 - x + x + 2*x**3 + (x**2 - 3*x**2 + 0*x**2)*(4 - 4 - 2*x). 59*x**3 Expand (-1 + 4 - 1)*(-1186*r + 196*r - 150*r). -2280*r Expand (-753*i**2 + 57*i**2 - 485*i**2 - 276*i**2)*(-2*i**2 - i + i). 2914*i**4 Expand (3*k - 3*k - k)*(-4*k + 3*k + 3*k) + 10 - 10 - 4*k**2 + (0 + 0 + 2*k)*(-k - 16*k + 2*k) + k - k + 2*k**2. -34*k**2 Expand (9 + 12 + 11)*(-1 + 2*c + 1). 64*c Expand -3*z**3 + 2*z**5 + 3*z**3 + (-2 + 6 - 2)*(3*z**5 - 3*z**5 - 2*z**5) - 51*z**5 - 224*z**2 + 224*z**2 - 37*z + 37*z + 2*z**5. -51*z**5 Expand (-2*c - 3 + 3)*(2 - 2 + 7)*(-6 + 10 + 5). -126*c Expand (-4*g + 4*g - 4*g)*(-3*g + 5*g - g) - 1 - g**2 + 1 + (-2*g + 0*g + 3*g)*(-1 + 1 - g) + 21*g**2 + 6*g**2 + 0*g**2. 21*g**2 Expand 1911*v - 2*v**2 - 1986*v + 4*v**2 + (-2*v + 4 - 4)*(-2*v - 2 + 2). 6*v**2 - 75*v Expand (-k + k + 2*k + k + 3*k - 2*k + (k - 5*k + 3*k)*(0 - 1 - 2))*(2*k - k + 2*k). 21*k**2 Expand ((-4 - 3 + 6)*(2*d - 5*d + d) - 409*d - 438*d + 911*d)*(-1 + 3 + 0 + 0 + 3 - 1 + (-2 - 4 + 5)*(2 + 1 - 1) - 3 + 0 + 1 + 2 + 1 - 1 - 2 + 0 + 6). 396*d Expand (-1 + 1 - 3*o)*(0*o + 5*o - 2*o + 4*o - 4*o + 2*o + (-2 + 1 + 0)*(-2*o - 2*o + 2*o) - 4*o + 3*o + 0*o + 11 - 11 - o)*(5 - 5 - 2*o). 30*o**3 Expand (2 + 0 - 1)*(-u**2 + u**2 - 8*u**3) - 61*u**2 + u**3 + 61*u**2 + 5 - u. -7*u**3 - u + 5 Expand (-2*k + 0 + 0)*(3*k - k - 4*k) + k**2 + 6*k**2 + k**2 + (4 - 4 + k)*(-k + 0*k - 2*k) + 177 + 8*k**2 - 177. 17*k**2 Expand (18*c**4 + 38*c**4 + 57*c**4)*(1 - 4 + 1)*(-c + 2*c + 2*c). -678*c**5 Expand (-8*r - 3*r + 3*r)*(-2 + 23 + 8). -232*r Expand (7*s - 7*s - 7*s**4)*(6 - 14 - 8) - s**4 + 0*s**4 + 3*s**4 + 2*s**4 + s**3 - s**3 + (6 - 2 - 3)*(-4*s**4 + s**4 + 2*s**4). 115*s**4 Expand (3*h**2 + 0*h**2 - 5*h**2 + (-5*h + h + 2*h)*(h - 3*h + 4*h) - 2*h + 2*h - 2*h**2)*(53*h + 125*h - 51*h). -1016*h**3 Expand (-1624*v**2 + 2*v - 11*v - 1 + 1621*v**2)*(-v**3 + 3*v**3 + 0*v**3). -6*v**5 - 18*v**4 - 2*v**3 Expand 5*s - s**4 - 3*s + 2*s**4 + (-158*s**2 + 45*s**2 - 49*s**2)*(1 - 1 - 2*s)*(-s + 0*s + 3*s). 649*s**4 + 2*s Expand (49 - 13 - 3)*(0*y - y + 0*y)*(1 + 1 - 3 + (1 - 2 + 2)*(-2 - 1 + 5)). -33*y Expand (2*h - h + h)*(11 - 86 - 137). -424*h Expand (-534199 + 534199 + 519*m)*(2*m**4 + 0*m**4 - 4*m**4). -1038*m**5 Expand 148 + 136*s**3 - 148 - 2*s**3 - 4*s**3 + 5*s**3 + (2*s**2 - 2*s**2 + s**2)*(0 + s + 0) + 2*s**3 + 0*s**3 - s**3. 137*s**3 Expand (-4*q**3 - q**3 + q**3)*(6*q - 8*q - 8*q) + (4*q**3 - q**3 - 4*q**3)*(q + 5*q - 3*q). 37*q**4 Expand (0 - 5 + 2 + 5 - 2 - 5 + (2 - 2 - 1)*(3 - 2 + 0))*(-2*c**2 - 4*c**2 + 10*c**2 + (-1 - c + 1)*(-c + c + c)). -18*c**2 Expand -h + h + 2*h**2 + (h**2 - h**2 + 2*h**2)*(1 - 3 + 3) + (-2*h + 1 - 1)*(h - 3 + 3) - 2 + 3231*h - 1607*h + 6*h**2 - 1615*h. 8*h**2 + 9*h - 2 Expand (-2574 + 2574 + 2281*q)*(-q**2 + 3*q**2 - 4*q**2). -4562*q**3 Expand (-13*w**2 + 13*w**2 + 5*w**2)*(-4 + 0*w - 2*w + w). -5*w**3 - 20*w**2 Expand ((-3 + 2 + 2)*(2*s - 2*s + s) - s + 4*s - s)*(-16 + 28*s + 68 - 25*s). 9*s**2 + 156*s Expand (-2*f + f + 0*f + (-3 + 3*f + 3)*(19 + 10 + 6) + (1 - 5 + 5)*(-2*f + 2 - 2))*(2*f**2 + 4*f - 4*f). 204*f**3 Expand (-3 - 1 + 3)*(2*m**2 - 2*m**4 - 2*m**2 + 4*m**4 - m**4 - m**4 + (-5 - 3*m**2 + 5)*(2*m**2 + 2*m**2 - m**2)). 9*m**4 Expand (-2*y + 2*y + y)*(-4*y + 0*y + 6*y)*((9 - 7 + 5)*(-2 + 4 - 3) + 1 - 1 + 1 + 1 + 1
{ "pile_set_name": "DM Mathematics" }
0. -50 What is -69.996517 rounded to one decimal place? -70 Round -1.133311 to one decimal place. -1.1 Round 2433320 to the nearest 10000. 2430000 What is -0.00416832 rounded to 5 decimal places? -0.00417 What is -0.0001450205 rounded to 5 dps? -0.00015 Round -58762.74 to the nearest 1000. -59000 Round -1225390 to the nearest one million. -1000000 Round -6.60295 to 1 dp. -6.6 What is -3381.882 rounded to the nearest 100? -3400 What is -0.016092 rounded to 4 decimal places? -0.0161 Round 1980900 to the nearest one hundred thousand. 2000000 Round 95792000 to the nearest 1000000. 96000000 What is 0.04636998 rounded to 3 dps? 0.046 Round -0.00002111 to seven decimal places. -0.0000211 What is -2.0870754 rounded to three dps? -2.087 What is -272352 rounded to the nearest one hundred? -272400 Round 14.842466 to one dp. 14.8 Round 141430 to the nearest one thousand. 141000 What is 19.83965 rounded to two decimal places? 19.84 Round 364559.7 to the nearest 100. 364600 Round 6539.9 to the nearest one thousand. 7000 What is -9593.15 rounded to the nearest one hundred? -9600 Round 0.00000214655 to seven decimal places. 0.0000021 What is 0.00041183 rounded to five dps? 0.00041 Round 0.00117412 to five decimal places. 0.00117 Round -426.963 to the nearest ten. -430 Round -447.0359 to the nearest 100. -400 Round -86.92987 to the nearest 10. -90 What is -0.323157 rounded to 3 dps? -0.323 What is 7142480 rounded to the nearest 10000? 7140000 What is -3.07125 rounded to 2 dps? -3.07 What is -519180 rounded to the nearest 1000? -519000 Round -70605710 to the nearest 100000. -70600000 What is 4.06232 rounded to the nearest integer? 4 Round 8363 to the nearest 100000. 0 Round -61428.46 to the nearest ten. -61430 What is 5723.94 rounded to the nearest ten? 5720 What is 0.0000071349638 rounded to 6 decimal places? 0.000007 What is 153.915 rounded to the nearest integer? 154 Round -1.7966698 to 2 dps. -1.8 What is 3586156300 rounded to the nearest one million? 3586000000 Round 0.00010495773 to 6 dps. 0.000105 Round -4057.005 to the nearest 10. -4060 Round 0.0032737726 to 4 decimal places. 0.0033 Round 126975.6 to the nearest 100. 127000 Round 6878724 to the nearest one thousand. 6879000 What is -1.265289 rounded to two dps? -1.27 What is 3847.31 rounded to the nearest ten? 3850 What is -0.0032247 rounded to 3 decimal places? -0.003 Round 11.5237 to the nearest ten. 10 Round -0.000000609513 to seven decimal places. -0.0000006 Round -0.00001608 to six dps. -0.000016 Round 2248358 to the nearest one hundred thousand. 2200000 Round 673.2882 to the nearest 100. 700 Round 13.32632 to 2 dps. 13.33 What is -2039149 rounded to the nearest one hundred thousand? -2000000 What is 0.01352235 rounded to four decimal places? 0.0135 Round -58253100 to the nearest one hundred thousand. -58300000 Round -4.551714 to two dps. -4.55 Round -19.1416 to one decimal place. -19.1 Round -647005 to the nearest one hundred thousand. -600000 Round -564050300 to the nearest 1000000. -564000000 What is -0.0258613 rounded to two dps? -0.03 What is 0.00008448495 rounded to six decimal places? 0.000084 Round 0.012196308 to 4 decimal places. 0.0122 Round -0.00021995519 to five decimal places. -0.00022 What is 0.14170462 rounded to three decimal places? 0.142 Round 0.028963963 to 3 dps. 0.029 Round 179392300 to the nearest 1000000. 179000000 What is 1474988 rounded to the nearest one hundred thousand? 1500000 Round -52929.6 to the nearest one thousand. -53000 Round -54984.5 to the nearest one thousand. -55000 What is 158.6421 rounded to the nearest integer? 159 What is -70.09747 rounded to one dp? -70.1 Round -0.0000010309709 to 7 decimal places. -0.000001 What is 148623000 rounded to the nearest 1000000? 149000000 Round 1.357879 to two dps. 1.36 Round 558878000 to the nearest one million. 559000000 What is 93.483282 rounded to 1 dp? 93.5 Round 21097.3 to the nearest one hundred. 21100 What is -13281.067 rounded to the nearest 100? -13300 Round -0.000008699091 to six dps. -0.000009 What is 0.00040856953 rounded to 7 decimal places? 0.0004086 What is -0.00004298635 rounded to seven decimal places? -0.000043 What is 0.0009687076 rounded to seven decimal places? 0.0009687 What is -0.00013602088 rounded to 6 decimal places? -0.000136 Round 1.7673 to two dps. 1.77 Round -0.00004387565 to 5 decimal places. -0.00004 What is 0.2101044 rounded to 4 decimal places? 0.2101 What is -0.040947 rounded to 4 dps? -0.0409 Round 0.0001882642 to 7 decimal places. 0.0001883 Round 0.00663508 to 3 decimal places. 0.007 Round -11232.108 to the nearest 1000. -11000 What is 0.0341218 rounded to four dps? 0.0341 What is 16790.3 rounded to the nearest one hundred? 16800 What is 32818.9 rounded to the nearest one hundred? 32800 What is 0.00016393107 rounded to seven decimal places? 0.0001639 What is 0.0020277374 rounded to five dps? 0.00203 Round -19590080 to the nearest one hundred thousand. -19600000 What is 0.000006093 rounded to six dps? 0.000006 Round 0.049393 to 2 dps. 0.05 Round -1.201085 to two dps. -1.2 What is -87.09034 rounded to one dp? -87.1 Round -0.0000012762472 to six decimal places. -0.000001 Round 0.000012746176 to six decimal places. 0.000013 Round 23482.222 to the nearest ten. 23480 Round 1661922.6 to the nearest 1000. 1662000 What is 0.00000649618 rounded to 6 decimal places? 0.000006 Round 0.6045404 to two dps. 0.6 What is -40554.4 rounded to the nearest 10000? -40000 What is 0.4364812 rounded to two decimal places? 0.44 Round -3.0859915 to 1 decimal place. -3.1 What is -0.01403738 rounded to 3 decimal places? -0.014 What is 6053940400 rounded to the nearest 1000000? 6054000000 What is -0.0002500106 rounded to four dps? -0.0003 What is -0.00001218121 rounded to seven decimal places? -0.0000122 Round -0.00010811487 to five decimal places. -0.00011 Round 24070 to the nearest ten thousand. 20000 Round -99204000 to the nearest 1000000. -99000000 What is -0.0028167686 rounded to five decimal places? -0.00282 What is 2.379804 rounded to 2 decimal places? 2.38 What is -19061700 rounded to the nearest one hundred thousand? -19100000 Round 0.001048376 to 4 decimal places. 0.001 Round -231738340 to the nearest one million. -232000000 Round -2587150 to the nearest ten thousand. -2590000 What is -20.0997 rounded to one decimal place? -20.1 What is -6121819 rounded to the nearest 100000? -6100000 Round 13547.2 to the nearest 10000. 10000 Round 0.010240582 to four decimal places. 0.0102 What is 0.00011813369 rounded to four dps? 0.0001 What is -231.415 rounded to 0 dps? -231 Round -0.00009457107 to 7 dps. -0.0000946 What is -71.781 rounded to the nearest ten? -70 What is 27743.271 rounded to the nearest ten? 27740 Round 11914 to the nearest ten thousand. 10000 Round 0.0000300139 to six decimal places. 0.00003 What is 0.028169051 rounded to four dps? 0.0282 Round 6.53175 to one decimal place. 6.5 What is -0.24524472 rounded to 1 dp? -0.2 What is 75084400 rounded to the nearest 100000? 75100000 What is 574241700 rounded to the nearest 1000000? 574000000 Round -8.2589 to 0 dps. -8 What is 18437.1 rounded to the nearest 10000? 20000 What is -1.3365158 rounded to the nearest integer? -1 Round -836300180 to the nearest 1000000. -836000000 Round 28510.99 to the nearest 100. 28500 What is 0.05165044 rounded to three decimal places? 0.052 Round 16603680 to the nearest 1000000. 17000000 What is 0.0002217653 rounded to 7 decimal places? 0.0002218 Round 0.000010158922 to six dps. 0.00001 Round 5.1679099 to two decimal places. 5.17 What is -2026.758 rounded to the nearest 10? -2030 What is -95710.2 rounded to the nearest one thousand? -96000 What is -1939420 rounded to the nearest 100000? -1900000 What is -352.074 rounded to the nearest integer? -352 What is -0.01646881 rounded to 3 decimal places? -0.016 Round -6491699 to the nearest one thousand. -6492000 What is -6888.9 rounded to the nearest 1000? -7000 Round -0.00000188886 to 7 decimal places. -0.0000019 What is -1820729400 rounded to the nearest one million? -1821000000 Round -0.000010877221 to six decimal places. -0.000011 What is -7742 rounded to the nearest ten thousand? -10000 Round 0.00023662 to five decimal places. 0.00024 Round 39212.8 to the nearest one hundred. 392
{ "pile_set_name": "DM Mathematics" }
-2*x**2 + 7*x. Let y be g(6). Let b be (24/(-9))/(4/y). Suppose -5*o = -3*w - 122, 2*o - o = 5*w + b. Does 12 divide o? False Let a be (254/2)/(-1 - -2). Suppose 7*w - 2*w = -25, 5*w = -3*j - a. Does 8 divide 3/((-6)/j) - 1? True Let b(v) = -v**3 + 10*v**2 + 10*v + 16. Is b(11) a multiple of 5? True Suppose 5 = -p - 2*z, -2*p - 13 = -p + 4*z. Is 16 a factor of (-5 + p)/(2/(-16))? True Let i(d) = d - 20 + d + 0*d + 7. Is 4 a factor of i(10)? False Let t(f) = f**3 + 7*f**2 - 12*f - 7. Let g be t(-8). Suppose 5*s + 70 - g = 0. Does 6 divide 44/(-6)*s/6? False Let r(a) = 135*a**2 + a. Let w be r(1). Suppose 5*j - w = j. Is j a multiple of 12? False Suppose 2*y + 3*q - 23 = 0, 0 = -5*y + 6*y - 2*q + 6. Suppose -11 = -y*z + 1. Suppose -r = -z*r + 50. Is 12 a factor of r? False Suppose -4*j = -j + 267. Let k = -55 - j. Is k a multiple of 17? True Suppose 3*u + 2*u - 360 = 0. Suppose 3*q + 0*q = -5*j + 172, 2*j - 2*q - u = 0. Suppose -4*b = 5*m - 37, -2*m = -2*b + m + j. Is 13 a factor of b? True Let j(r) = r**3 - 7*r**2 - 2. Let b be j(7). Is 22 a factor of b/(-4) - (-43)/2? True Let h(c) = -3*c**3 - c**2 + c - 1. Let r be h(1). Suppose -4*k - z + 3 = -3*k, -3 = 5*k - 4*z. Is r + 10 - (-1 + k) a multiple of 2? True Let v(n) = 2*n**2 - 3*n - 1. Let a be v(-1). Suppose -4*s - 84 = -a*f - 0*s, f = 2*s + 16. Does 20 divide f? False Let n = -5 - -9. Is 4 a factor of n? True Suppose 4*h + 2 = 4*l - 2, -2*l - 14 = 2*h. Let c(j) = j + 5. Let r be c(h). Is 11 a factor of 1 + -15*(-2 + r)? False Suppose -3*h + 252 = 4*z, -4*h - 3*z - 44 = -373. Does 10 divide h? True Suppose 18*k - 5*k = 2067. Is k a multiple of 17? False Suppose -5*b + 11 = 1. Does 8 divide (62/(-5))/(b/(-5))? False Suppose -156 = 4*w - 668. Does 16 divide w? True Suppose -r - 54 = 5*f - 2*f, -4*r - 209 = 5*f. Let p = 90 + r. Is 19 a factor of p? False Suppose 4*f + 2*k = 5*f - 11, 3*k + 27 = 5*f. Is 11 a factor of 3/((-3)/(-57)*f)? False Let h(i) = -21*i - 4. Is h(-2) a multiple of 19? True Let w = -2 - -5. Suppose -4*a = 3*v - 0*v - 179, -118 = -w*a + v. Is 11 a factor of a? False Suppose -4*n + n = 0. Does 13 divide 63 - (-2)/(-4)*n? False Let p(f) = -f**3 + 5*f**2 - 3*f + 1. Let m be p(5). Let b be (-8)/5*(7 - 2). Does 7 divide (-228)/m - b/(-28)? False Suppose 0*n = -5*m + n + 302, 0 = m - 3*n - 66. Is 20 a factor of m? True Suppose -d = -5*d + 720. Is 15 a factor of d? True Suppose 4*q = 5*a + 17, -4*q + a = 5*a - 44. Let f(i) be the first derivative of -i**4/4 + 7*i**3/3 + 13*i**2/2 - 12*i - 1. Is f(q) a multiple of 14? True Let v = -2 - -6. Suppose -2*t - 8 = 2*s - v*s, t + 4 = 0. Suppose -72 = -s*k - 2*k. Is 13 a factor of k? False Let b(k) = -k + 3. Let p be b(8). Let v = p + 39. Does 17 divide v? True Let f = -114 + 145. Is f a multiple of 15? False Let g(q) = q**2 + 2*q. Let o be g(-2). Let b(s) be the third derivative of s**5/60 + s**4/24 + 5*s**3/6 - 4*s**2. Is b(o) a multiple of 5? True Suppose -2*n = -4, 0*o - 4*n = -3*o - 8. Suppose 2 + o = x. Suppose x*w = 4*f + 7*w - 87, -2*f - 5*w = -41. Is f a multiple of 16? False Suppose 0 = -4*s - 20, -4*s - 5 = 2*r + 15. Suppose 0 = -r*l + 5*l + 10. Does 9 divide l + (-3)/(-1) - -21? False Suppose -24 = -5*p - 9. Suppose k + 2*k = -p, v + k = 107. Is v a multiple of 36? True Suppose 0 = -3*t + 9, 3*v + 2*v - 5*t = 55. Let o = -10 + v. Suppose -g - o*g + 70 = 0. Is 7 a factor of g? True Suppose -2*u + 20 = 5*l + 3*u, -5*l - 3*u = -16. Let c be ((-6)/(-15))/(l/270). Suppose -q + 22 = s + 5, -c = -2*q + 3*s. Is q a multiple of 16? False Let a be ((1 - -2) + 1)*1. Suppose a*b - 12 = b. Is b a multiple of 4? True Let i = 815 - 415. Does 40 divide i? True Let d(b) = -b**2 + 11*b + 4. Let l be d(10). Suppose 4*f + l = -2*j - 4, -63 = 5*j + f. Let q = 9 - j. Does 11 divide q? True Suppose -2*w = f - 24, -2*f - 7*w + 2*w = -52. Does 26 divide (-2)/1 - (-448)/f? True Let k = -2 + 7. Let d(o) = 1 - 5*o**2 + k*o + 1 + o**3 - 9*o. Is d(6) a multiple of 14? True Let k(l) = -l**2 - 1 + 2*l**2 - 9*l**3 + 0*l**2. Does 9 divide k(-1)? True Is 10 a factor of (-3 - -26) + (0 - -1)? False Is 44 + (1 + -1)/(-4) a multiple of 11? True Let z be ((-63)/4)/((-6)/16). Suppose a + z = -2*a. Does 7 divide (-192)/a - 2/(-7)? True Is (-392)/70*10/(-4) a multiple of 14? True Suppose -3*f = g - 5*g + 1287, -3*g + 929 = 5*f. Is 13 a factor of g? False Suppose 3*c + 20 - 8 = 0. Let y be -4*(-2 + (-34)/(-8)). Let n = c - y. Is 5 a factor of n? True Let w(i) be the first derivative of -5*i**2 + 2*i - 3. Let q = -4 - -1. Is 16 a factor of w(q)? True Suppose -3*h - 5 = -x, 0 = x + 4*x + 2*h - 8. Suppose x = -c + 8. Let n(t) = t**2 + t - 8. Is 12 a factor of n(c)? False Let w(j) = -j**3 + 5*j + 4. Let k be w(-3). Is 12 a factor of 2*k + 2 - -2? True Let n be ((-45)/(-3) - 0) + -1. Suppose -5*s - 4*x + 5*x + n = 0, -3*s - 3*x - 6 = 0. Does 10 divide 1*(0/s - -20)? True Let f be (-16)/(-9) - 4/(-18). Let z(b) = -f*b**2 + 2*b - 1 + 5*b**2 + 0*b. Is z(-3) a multiple of 10? True Let z(g) = -g + 7. Let c be z(7). Suppose c = -r - r - 2*s + 52, -4*s = -5*r + 103. Suppose u + r = 2*u. Is u a multiple of 15? False Let f(z) = 6*z**2 - 3*z. Let g be f(3). Suppose 3 + g = 4*p. Is p a multiple of 9? False Let g = -196 + 336. Is g a multiple of 14? True Let p be 2 + (-5 - 1)/3. Suppose p*q - 2*q = -18. Let y = q - 5. Is y a multiple of 4? True Suppose -4 = 2*w + 38. Let d = 27 + w. Does 4 divide d? False Suppose -2*l + 224 = -0*l. Suppose 6*o - 2*o - l = 0. Is (-4)/(-14) - (-300)/o a multiple of 9? False Suppose 4*i - r = 20, i - r = -2*r. Suppose -i = 4*b - 60. Is b a multiple of 14? True Suppose 0 = 2*f - 664 + 126. Is 29 a factor of f? False Suppose w - 5*r = -2*w - 126, -4*w - 163 = -5*r. Let i = w + 76. Is 8 a factor of i? False Let k = 18 - 6. Is k a multiple of 12? True Let m = 16 - 10. Is 3 a factor of m? True Let u(a) = a - 5. Let b be u(8). Suppose -x - 5*q + 50 = -3*q, -278 = -5*x - b*q. Does 29 divide x? True Suppose 2*b - 4 = 4*b. Let z be (3 - 12)*b/(-6). Is 1*(-3)/(z/26) a multiple of 13? True Suppose -7*k + 3*k - d + 697 = 0, 5*d = k - 169. Does 29 divide k? True Let m(i) = i + 3. Let k be m(7). Let c(y) = 2*y**2 - 14*y - 9. Let p be c(k). Suppose 0 = -5*n + 3*s + 87, -2*s - s = -3*n + p. Does 9 divide n? True Let q(i) = 9*i**2 - i. Does 5 divide q(-1)? True Suppose 0 = -3*s - 3*d + 22 + 2, -s + 2 = -d. Suppose 24 = s*n - 26. Does 5 divide n? True Let y = 95 - 42. Suppose -t - y = -2*t. Is t a multiple of 19? False Suppose 15 = c - 4*u, 10 = -4*c + 2*u - 0. Let p = -2 - c. Is 13 a factor of p/(-2 + -1)*-39? True Suppose 15 = 5*n - 5*z, -3*n = 2*n + z - 9. Let h(y) = 2 + 4*y**3 + 2*y**3 + 0*y**n - y**2 - y. Is 22 a factor of h(2)? True Let m(k) = -k**3 - 8*k**2 - k - 6. Let f be m(-8). Suppose -f*d + 128 = 4*y + 2*d, -4*y - 3*d = -131. Does 16 divide y? False Let i be (21/(-9))/((-1)/(-30)). Does 15 divide (i/42)/((-2)/36)? True Let p(b) be the second derivative of 0 + 3*b**2 + b - 2/3*b**3. Is 17 a factor of p(-9)? False Is 6 a factor of (-6)/27 + (-872)/(-36)? True Suppose 16*m = 15*m + 182. Is 12 a factor of m? False Is 24 a factor of ((-108)/(-15))/((-3)/(-10))? True Let r = 54 - 25. Let u = r + -9. Is 10 a factor of u? True Suppose 3*w - 5*o - 347 = 0, o = 5*w - 521 - 72. Does 47 divide w? False Let d be (3 + 1)*(-7)/(-4). Suppose 0 = -2*g + d + 7. Does 7 divide g? True Let p = 0 - 0. Suppose -3*a = -p*a - 15. Is a a multiple of 2? False Let s = 145 - -36. Suppose 4*n + 41 = s. Does 15 divide n? False Let m = 3 - 6. Let d = -4 - m. Does 17 divide 0 + -2 + (32 - d)? False Let f(d) = -d**2 - 13*d + 21. Is 33 a factor of f(-12)? True Let s(o) = -o**2 + o. Let l be s(-3). Let h be l/(-15)*10/4. Suppose 48 = 4*v - y, h*v - 38 = -0*v + 4*y. Does 11 divide v? True Suppose 4*p - 5*l + 3*l - 18 = 0, 0 = -5*p + 3*l + 25. Is 12 a factor of 3 + 48/(p - 1)? False Is (-3)/(-4) - (-5 - 498/8) a multiple of 17? True Let z(x) = -x**3 - 6*x**2 + 6*x. Let c be z(-7). Let n = 34 - c. Does 9 divide n? True Let m(t) = 6*t + 6*t**2 - 2*t**2 - 4*t + 2. Let b be m(3). Is 11 a factor of b/(-12)*-2*3? True Suppose -375 = -5*y + 5*g, 5*y - 6*g + 2*g = 380. Is y a multiple of 15? False Let m(w) = -8*w + 1. Let z be m(-1). Suppose z = 3*r - 12. Is 4 a factor of r? False Suppose 3*g + 9 - 3 =
{ "pile_set_name": "DM Mathematics" }
0 - 4) + 17 + -1. Suppose -3*h + m + 3 = 0. Suppose -h*u + u + 1156 = 0. Is u prime? False Suppose 8*u + 8 - 8 = 0. Let k be u/(2/(-7) + 38/(-14)). Suppose k = -4*g + 4444 - 888. Is g a prime number? False Let n = 2214587 - 421924. Is n prime? True Let h = 20 - 65. Let r = 57 + h. Suppose 0 = 3*d - r*d + 17541. Is d a composite number? False Let m(c) be the first derivative of c**3/3 - 7*c**2/2 + 7*c - 12. Let l be m(10). Suppose -l = -z + 198. Is z a composite number? True Suppose -56 = -2*s - 5*s. Suppose 17 = s*i - 15. Suppose 5*r - 4*x = 1245, 248 = r - i*x + 3*x. Is r a composite number? True Suppose -12*s + 2*s - 100 = 0. Let c be 3/15 - 2068/s. Suppose 0 = 3*f - 2*z - c - 12, 207 = 3*f + 2*z. Is f composite? False Let a(f) = -10*f - 27. Let c be a(-3). Suppose t = 5*d + 901, 5*d + 3261 - 518 = c*t. Is t composite? True Let h(t) = 785*t**2 - 2*t + 49. Is h(6) a composite number? False Let t(b) = -2*b**3 - 172*b**2 - 228*b - 411. Is t(-94) a prime number? False Let h = 94378 + 438. Suppose -h = -5*q + 3*m, -4*q + 3*m - 18429 + 94280 = 0. Is q composite? True Let v(x) = -x**2 - 2*x + 5. Let z be v(-2). Suppose -z*b = 19*t - 23*t - 6827, 4*t = b - 1375. Is b a prime number? False Let v = -718 + 1749. Let s = v - -248. Is s prime? True Suppose -200 - 52 = t. Is 3/(-2)*(t - 46) prime? False Let n be (-1 + 3)/(4/1194). Suppose -4*h - 12 = 0, 6*c + 2*h - 38 = -14. Suppose -2309 = -3*v - 2*i, n = c*v + i - 3249. Is v a composite number? False Let g(i) = -76 + 75*i + 156*i + 61. Is g(6) a prime number? False Suppose 0 = -3*d + 4281 + 1767. Suppose 82*w = 77*w - 2*x - 6163, 3*x = -2*w - 2452. Let y = d + w. Is y prime? False Let v(w) = 191 - 15 - 37 + 78 - 37*w. Is v(3) a composite number? True Let n(t) = 31*t**3 + 5*t**2 + 6*t - 183. Is n(10) prime? False Suppose 254866 + 117005 = 81*x. Is x composite? False Suppose -5*w + 4*u = -118400, -2*w + 2*u + 3*u = -47343. Suppose -3*c + 4*v = -17765, 4*c - w = -16*v + 20*v. Is c prime? False Let n be (63504/(-32))/((-2)/20). Suppose 0 = 10*x - 19085 - n. Is x prime? False Let i = -196 + 196. Suppose i*y = 2*y + 3*b - 2317, 0 = -y + b + 1146. Is y prime? True Suppose 255*h = 268*h - 217178. Is h prime? False Suppose a + 4*q - 25085 = 0, 41*a - 50179 = 39*a - 5*q. Is a a composite number? False Let h = -160140 - -271285. Is h a composite number? True Let g(j) = -j**2 + 2*j - 2. Let l be g(0). Is (1 - -1)/(l/(-1913) - 0) composite? False Let g be (-20)/(-6) + 4/6. Let o(x) = -2*x - 9. Let l be o(-7). Suppose -l*z = 5*h - 2395, g*h = -3*z + z + 1916. Is h a composite number? False Is (58/319)/((-10)/(-7796855)) composite? False Let h(j) = -7*j - 256. Let u be h(-37). Suppose -2534 - 2434 = -5*l - u*m, 2 = 2*m. Is l a composite number? True Let z = -338773 + 540786. Is z a composite number? True Let n = 57794 - 37894. Suppose t - n = -9*t. Suppose f - t = -405. Is f a prime number? False Let j = 194612 - 95549. Suppose -10*o + 112547 + j = 0. Is o a composite number? True Suppose -10707 = -l + 16616. Is l a composite number? True Let p = -689 - -395. Suppose -2*l + l = -527. Let h = l - p. Is h a prime number? True Let d(j) = 2*j**2 + 12*j - 45. Let p be d(3). Suppose -2*n + 66106 = -2*k, 2*n - 10*k - 66102 = -p*k. Is n a prime number? True Let z be (-806225)/(-250) - 2/(-20). Suppose 5*n - 621 = -k, -3*k = -8*k + 5*n + z. Is k a prime number? True Let n(l) be the first derivative of 17*l**3/3 - 43*l**2/2 + 19*l + 40. Is n(17) a prime number? True Let f = -98047 - -173156. Is f composite? False Let b be ((-6)/8)/((-2)/8). Suppose 7*s - 6*s = b. Let l(r) = 7*r**3 - 3*r**2 - 3. Is l(s) a composite number? True Let i = 9063 + -6107. Is 80/320*(i + 0) composite? False Let b(y) = -7*y + 31. Let u be b(3). Is ((-5)/u)/((3 - -1)/(-100072)) a composite number? True Suppose -5*h = -3*t + 568214, 5*t + 24*h - 22*h - 947013 = 0. Is t a prime number? False Is (285/(-475))/((-15)/6529475) a composite number? True Let x(n) = 5875*n + 3859. Is x(18) a composite number? False Let o = 15 - 30. Let b be 5/(-25) - (-792)/o. Let f = -39 - b. Is f prime? False Let k = 43794 - 20987. Is k a composite number? False Let k(b) = -64*b**3 - 10*b**2 - 10*b - 4. Let j be k(8). Let v = 66811 + j. Suppose v = 7*u - 18124. Is u prime? True Suppose 15 = -7*y + 10*y. Suppose 0 = 3*t - k + 4*k + 24, y*k = 15. Let f(j) = -2*j**3 - 13*j**2 + 23*j - 15. Is f(t) prime? True Let n = 16 - 14. Suppose -4*w = n*w + 12. Is 1803 + (-3 - w - 1) prime? True Let z(x) = 9 + 4 - 17 - 24 + 6975*x. Is z(1) a composite number? False Suppose -2559423 = -33*s + 393549. Suppose -6*f + 320610 - s = 0. Is f composite? True Let n(c) = -4*c - 7. Let m be n(-16). Let t = 68 - m. Suppose t*o = 13*o - 326. Is o prime? True Let r(a) = a**3 - 10*a**2 + 8*a + 15. Let i be r(9). Suppose -3*m = b + 4 + i, 4*m + 4*b + 8 = 0. Is (-2876)/(0 - m)*-1 composite? False Suppose 17*q + 1 - 1 = 0. Suppose 5*l - 293 = -2*w, 3*w - 447 = -q*w - 5*l. Let p = w - -3. Is p composite? False Suppose -2*d + 313421 = 22*m - 23*m, -2*m + 783557 = 5*d. Is d a composite number? True Suppose -115*b + 10759540 = -71*b. Is b prime? False Suppose 6776 + 4193 = 7*o. Is o composite? False Suppose 0 = -191*m + 188*m - 12, 131298 = 2*o - 5*m. Is o a prime number? False Is (-10)/25 - (-35851675)/125 prime? True Let o be (-4 - -3 - -2)*(-2 - -7). Suppose 0 = h - o, 0*h = a + 2*h - 911. Is a a composite number? True Let t(n) = 35*n**2 - 4*n + 6. Let c be t(6). Suppose 5*y + c = 7057. Is y a composite number? False Is -132 + 133 - 950148/(-1) a composite number? False Let l(i) = -i**3 + 7*i**2 + 8*i. Let r be l(8). Suppose m - 5556 = -r*m + 2*x, -m + x = -5555. Suppose 0 = -6*v + m - 232. Is v a prime number? True Let a = -38116 + 67815. Is a a prime number? False Let g = 215761 - 48690. Is g prime? True Suppose -5*d = -0*d - 7685. Suppose -8*x = 2*i + 1612, 4*i + 5*x = 8*i + 3287. Let b = i + d. Is b a composite number? False Let c = -1131999 - -2379500. Is c a composite number? False Let p(y) be the second derivative of -611*y**3/3 - 103*y**2/2 - y - 3. Is p(-26) prime? False Suppose -9*o + 4494 = -726. Let c be (-27)/6*o/15. Let n = c - -653. Is n composite? False Suppose 0 = 7*m - 3*m - 80. Let l(a) = 34*a + 3. Is l(m) composite? False Suppose 0 = 14*y - 54 + 26. Is y/((-22200)/(-11095) + -2) composite? True Let j(s) = 1732*s - 479. Is j(27) prime? False Suppose -5*a + 48*a = 1233541. Is a prime? True Suppose -3*t = 2*m - 248647, -3*m - 331535 = 67*t - 71*t. Is t a prime number? True Suppose -4*b + 3*w = -10551 - 10836, -4*b + 5*w + 21381 = 0. Is b a composite number? True Let z = 3778 - 2664. Let w = z - 533. Let s = -162 + w. Is s a composite number? False Let v = 159 + -132. Suppose -v*m = -4*g - 28*m + 29285, -5*g - 4*m + 36609 = 0. Is g a composite number? False Let a(p) be the third derivative of -17*p**6/60 + p**5/15 - p**4/8 - 11*p**3/3 - 58*p**2 - 2. Is a(-9) composite? True Suppose 17*f = 19*f + 5*k - 52208, -2 = -k. Is f a composite number? False Let u be (0 - (-2 - -2))/3. Suppose b + 0*a = -2*a + 1522, u = -4*b + 2*a + 6098. Let k = b - 845. Is k a composite number? True Let n(q) = -q**3 + 10*q**2 + 9*q + 2. Let i be n(11). Let b(f) = 52 - 9*f - 71 - 9*f - 30*f. Is b(i) prime? True Let d(h) = 17*h - 8. Let k be d(2). Let j = 29 - k. Suppose -9145 = -2*l - j*l. Is l a composite number? True Suppose 10*s + 27 = s. Let q = s - -3. Is -4 + 4 - (q - 633) a prime number? False Let a(v) = -335*v + 58. Let k(l) = -223*l + 39. Let h be (26/39)/((-4)/30). Let f(b) = h*a(b) + 8*k(b). Is f(-13) a prime number? True Let a(i) be the third derivative of 17*i**5/60 - 7*i**4/8 - 37*i**3/6 + 94*i**2. Is a(-13) composite? False Suppose 4*b - 2*s - 8 = 0, -5*b = -b + 2*s - 8. Suppose -2*c + b*l - 3 = 1, l = 0. Is c + 0 + 0 + (157 - -6) prime? False Is (-13 - -62255)*((-22)/(-28) - (-2)/(-7)) a composite number? False Let y(u) = -5804*u**3 + 7*u**2 + 10*u - 1. Is y(-2) a prime number? True Let a(b) = 11*b + 6 - 307*b**2 + 308*b**2 + 12. Let r be a(-9). Suppose r = -5*y + 3*t + 227, -4*y + 2*t = 3*t - 168. Is y a prime number? True Suppose 6 = -38*t + 37*t. Let d(x) be the second derivative of 5*x**4/3 - 7*x**3/3 - 15*x**2/2 - x. Is d(t) composite? True Let p(s) = s**3 - 10*s**2 + 24*s + 5. Let a be p(4). Supp
{ "pile_set_name": "DM Mathematics" }
= -12, 5*v = -m*j + 28. Let i(f) = f**2 - 3*f - 5. What are the prime factors of i(v)? 5, 7 Let s(n) = 14*n. Let r(t) = -5*t. Let p = 14 - 31. Let a(o) = p*r(o) - 6*s(o). List the prime factors of a(12). 2, 3 Let p be 39/65 + ((-3)/5 - -1). Suppose 5*c - c - 8 = 0. What are the prime factors of p*c - 414/(-9)? 2, 3 Suppose 2*u - 3*u - 2*p = -12, -2*p = 3*u - 28. Let x(c) = c**2 + 14. What are the prime factors of x(u)? 2, 3, 13 Let r = 31 + -24. Suppose -r*o + 424 = -66. List the prime factors of o. 2, 5, 7 Let b(f) = -25*f + 3947. List the prime factors of b(0). 3947 Let v(r) = -6*r**3 + 5*r + 17. List the prime factors of v(-5). 2, 7, 53 Let u = 46 + -18. Suppose 0*j + u = 2*j. Suppose j + 40 = 2*x. List the prime factors of x. 3 Suppose -4*i = -4*q - 532, -4*q - 222 = -3*i + 179. List the prime factors of i. 131 Let d be 5/2*60/50. Suppose -4*c - 12 = 0, 3*q + d*c = 2*q - 6. What are the prime factors of q? 3 Let c(n) = 12*n - 11 - 23*n - 9*n. List the prime factors of c(-4). 3, 23 Suppose -2 - 3 = -5*y, 0 = i + 3*y + 8. Let p(q) = q + 12. Let o be p(i). What are the prime factors of 26 - (2 + 0 - o)? 5 Suppose 3*o - 1 - 11 = 0. Suppose r = o*r - 192. Let x = 89 - r. List the prime factors of x. 5 Suppose 2*p = -175 - 35. Let a = p - -153. List the prime factors of a. 2, 3 Let n = -160 - -873. What are the prime factors of n? 23, 31 Let g(n) = n**3 + 5*n**2 + 5*n + 5. Let l be g(-6). Let m = 122 + l. List the prime factors of m. 61 Suppose 10*b = 5*b + 660. Suppose 6*z + 5*c = 5*z + b, -5*c - 249 = -2*z. What are the prime factors of z? 127 Suppose -1109 = -15*g - 74. Let s = g - -20. What are the prime factors of s? 89 Suppose 2*b - 2*t = 10, 0 = 6*t - 3*t. Let g be ((-24)/20)/((-6)/20). What are the prime factors of ((-2)/b)/(g/(-20))? 2 Let u be ((-4)/6)/(8/(-36)). Suppose -u*g + 5*o = -526, 142 = g - 0*g + 5*o. List the prime factors of g. 167 Let q = -421 + 638. List the prime factors of q. 7, 31 Suppose -u = 5*d - 1180, -2376 = -2*u - 2*d - 0*d. What are the prime factors of u? 2, 5, 7, 17 Suppose 6812 = 4*c + 3*r + 1455, -5*c - 5*r = -6695. List the prime factors of c. 2, 5, 67 Let x(i) = -6*i**3 - 8*i**2 - 14*i + 16. What are the prime factors of x(-7)? 2, 5, 89 Let z(v) = -v**2 - 12*v + 68. What are the prime factors of z(-12)? 2, 17 Let v(y) = 4*y + 8. Let m(l) = 5*l + 8. Let o(i) = -3*m(i) + 4*v(i). Let z be o(-11). What are the prime factors of 22/((-8)/z - 2)? 3, 11 Let v be (-3)/(-1)*8/3. Suppose 70 = 5*r + 4*z + 9, 0 = z - 4. Suppose -b + r = -v. List the prime factors of b. 17 Let d = -1146 - -1225. List the prime factors of d. 79 Suppose -2 = 3*n - 3*f + 7, 9 = 2*n + f. Suppose -n*x = -0*x - 220. What are the prime factors of x? 2, 5, 11 Let s(a) = a**2 + 2*a + 68. List the prime factors of s(0). 2, 17 Suppose 0 = -x - 2 - 5. Let n(w) = w**2 + 11*w + 9. Let a be n(x). Let c = a - -35. What are the prime factors of c? 2 What are the prime factors of (-1 + (-974)/(-4))/(17/34)? 5, 97 Let g be 0 - 18/(2 + 1). Let k be -2*(1 - g/(-4)). Let n = k - -11. What are the prime factors of n? 2, 3 Let f(i) = i**3 - 3*i**2 - 3*i - 5. Let v be f(4). Let s = -2 + v. What are the prime factors of (11/(-2))/(s/12)? 2, 11 Suppose -u - 56 = -5*y + 2*y, -2*y - 5*u + 9 = 0. List the prime factors of (-7)/(28/(-36))*y. 3, 17 Let i(r) = 2*r**3 + 37*r**2 - 10*r - 86. List the prime factors of i(-18). 2, 11, 19 Let z = -37 - -39. Suppose s = 6*p - p - 145, 3*p - 100 = -z*s. List the prime factors of p. 2, 3, 5 Suppose 3*c - 53 = -62. List the prime factors of 67 + (c + 5 - 2). 67 Let w(r) = 2*r**2 + 25*r + 21. What are the prime factors of w(18)? 3, 373 Suppose f + 2*f = -t + 585, 2*f + 1138 = 2*t. List the prime factors of t. 3, 191 Let a = 18 - 12. Let w(m) = -3*m + 4. Let v be w(0). Suppose -a*b = -v*b - 22. What are the prime factors of b? 11 Suppose 2*h + 237 = 5*x, 0*h + 5*x + 610 = -5*h. Let r = h + 183. List the prime factors of r. 2, 31 Let a = -621 - -1290. What are the prime factors of a? 3, 223 Let j = 29 + -69. Let y be (-8 + 132/16)/((-3)/348). Let k = y - j. What are the prime factors of k? 11 Let o(n) = -n**2 - 8*n + 8. Let q be o(-12). Let d be 6/10 + (-56)/q. Suppose 27 = d*c - 35. List the prime factors of c. 31 Suppose -o + 14 = -57. Suppose -2*m + 55 = -o. What are the prime factors of m? 3, 7 Let q = -1564 + 2812. List the prime factors of q. 2, 3, 13 Let t = 32 + -20. Suppose 2*q = 5*z - 28 - t, -24 = -3*z - 3*q. Suppose -4*o + 43 = 5*x, -x = 2*o - z - 3. List the prime factors of x. 7 Suppose -28*r + 27*r = 3*w + 11, -w + 7 = 3*r. Let t = -13 - 5. List the prime factors of (-1254)/t + r/(-6). 3, 23 Suppose 2*a - a = 72. List the prime factors of a. 2, 3 Let i(t) = -t**3 - 3*t**2 - t + 3. Let m be i(-4). Suppose -70 = 3*p + 2*p. Let j = m + p. What are the prime factors of j? 3 Let k(j) = 13*j**2 + 31*j - 19. What are the prime factors of k(-14)? 5, 419 Let j(r) = r**3 - 5*r**2 - 6*r - 2. Suppose -4*c - 18 = -2*g, 9 = 4*g + 4*c - 15. What are the prime factors of j(g)? 2, 3 Let y(k) be the third derivative of -k**4/24 - 4*k**3/3 - 6*k**2. Let f be y(-8). What are the prime factors of f + (-1 + 25)/1? 2, 3 Let m be (-134)/(-10) + (-2)/5. Suppose -2*q - m = -63. What are the prime factors of q? 5 Let l be 38/(9/((-18)/4)). Let s = 2 - l. What are the prime factors of s? 3, 7 Let c = 354 + 81. List the prime factors of c. 3, 5, 29 Suppose 2*g + 3*j = 6*j + 954, 4*g - 3*j - 1896 = 0. List the prime factors of g. 3, 157 Let z(i) = 5*i**2 + 6*i + 16. Let o be z(-11). Suppose 5*k - o = 170. List the prime factors of k. 5, 29 Let b(n) be the second derivative of -n**4/12 - 19*n**3/6 - 27*n**2/2 - 16*n. List the prime factors of b(-16). 3, 7 Suppose 5*h = 4*h. Let v be 0/(7 + -6) + (-3 - -5). Suppose h = d - w + v*w - 61, -4 = 4*w. What are the prime factors of d? 2, 31 Let m(i) = -i + 457. What are the prime factors of m(0)? 457 Let a(r) = -170*r**3 - r**2 - 7*r - 6. Let o be a(-2). List the prime factors of (-32)/(-12) + -3 - o/(-6). 227 Let b be (132/(-15))/(2/(-35)). Let v(w) = -9*w**2 - 3*w + 3. Let u be v(3). Let k = b + u. List the prime factors of k. 67 Let u(y) = 9*y**3 - 3*y**2 + 6*y - 16. Let m(l) = -4*l**3 + l**2 - 3*l + 8. Let o = -12 - -25. Let d(f) = o*m(f) + 6*u(f). List the prime factors of d(4). 2, 11 Let d(h) be the second derivative of -h**4/12 - h**3 - h**2/2 - h. Let f be d(-5). Suppose -90 = z - f*z. List the prime factors of z. 2, 3, 5 Let m(w) = -w**2 + 8*w - 13. Let i be m(5). Suppose i = -n - 7. Let y = 5 - n. What are the prime factors of y? 2, 7 Let q(i) = 9*i**2 + 9*i - 15. Let w be q(6). Suppose 0 = 6*g - 9 - w. List the prime factors of g. 2, 31 Let j(b) = -1370*b - 1. What are the prime factors of j(-2)? 3, 11, 83 Let o = -65 + 62. Let u = o - -53. What are the prime factors of u? 2, 5 Let c be (1 - 0)*30/10. Suppose 0 = 5*g - 6 - 4. Suppose 0 = -m + c + g. List the prime factors of m. 5 Let j be 50/(3 + -2) - 4. Let k(h) = 44*h**2 + 3*h + 0*h + 44 - j. List the prime factors of k(1). 3, 5 Suppose 5*c = 5*y - 35, -3*c = 3*y - 5*y + 16. Let n be ((-92)/(-20) - 4)*y. Suppose n*t - 31 = -13. What are the prime factors of t? 2, 3 Let r = 142 + -104. Suppose -2*y + r = -178. List the prime factors of y. 2, 3 Suppose 26*n - 1288 = 25*n. Suppose 13*t = 584 + n. List the prime factors of t. 2, 3 Let r = 1616 - 972. List the prime factors of r. 2, 7, 23 Let p(h) be the second derivative of 11*h**3/6 - 15*h**2/2 - 26*h. List the prime factors of p(8). 73 Let z = 1653 - 836. What are the prime factors of z? 19, 43 Suppose -c + 3*q = 18 - 6, c - q + 2 = 0. Let s(x) = -3*x + c*x**2 + 2*x**2 + 5 - x**2 + 0*x. List the prime factors of s(2). 3, 5 Let c = 22 + 10. Suppose 3*n - 2*m - c = 5, n - 12 = m. List the prime factors of n. 13 What are the prime factors of 2 - ((-1825)/3 + 44/(-66))? 13, 47 Suppose 5*a - 5*s = a + 6, 14 = 2*a + 3*s. Let p(n) = -21*n - 6. Let b be p(a). List the prime factors of (-1*6)/(27/b). 2, 5 Let d(t) = 5*t**2 - 1. Suppose 0 = -5*a - g - 5, 0*a - 2*a - g = 2. Let w be d(a). Suppose 0*y - 194 = -w*l + y, 3*l - 154 = 5*y. List the prime factors of l. 2, 3 Let l(q) = q**2 + 1. Let u be 78/(-65)*10/(-3). Let k be l(u). Suppose 3*w - 1 = k. What are the prime factors of w? 2, 3 Let k(g) =
{ "pile_set_name": "DM Mathematics" }
-15. 26019127 Divide 1050515 by -83. -1050515/83 What is -4879034 divided by 2? -2439517 Calculate 15691440 divided by 240. 65381 299860 divided by 2585 116 Calculate -2023 divided by -3807. 2023/3807 -2043522 divided by -18 113529 -21025805 divided by -6385 3293 Calculate 162181 divided by 5. 162181/5 What is 3 divided by -298384? -3/298384 Calculate -4468596 divided by -1489532. 3 562854 divided by -2227 -562854/2227 -1214 divided by 54588 -607/27294 -12581919 divided by -3 4193973 Divide -2 by 877202. -1/438601 Calculate -197238 divided by -759. 65746/253 Calculate -2633105 divided by 331. -7955 -1963055 divided by 41 -1963055/41 Divide 170825088 by -21. -8134528 Divide 3364722 by -1121574. -3 Calculate -5510 divided by 34529. -5510/34529 Calculate -47717065 divided by 4. -47717065/4 What is -24605400 divided by -46? 534900 Divide 737 by 145433. 737/145433 Divide -42533076 by -906. 46946 Divide 2 by -13865248. -1/6932624 Calculate -116 divided by -714013. 116/714013 Calculate 61201377 divided by 400009. 153 Divide 210343 by 210343. 1 What is 568285600 divided by 32? 17758925 What is -39015 divided by 2982? -13005/994 Divide 3662600 by 2. 1831300 171290112 divided by 192 892136 Divide -7974612 by -2934. 2718 What is -3061782 divided by -1? 3061782 Divide 8936723 by 32. 8936723/32 What is -183813684 divided by -6? 30635614 Calculate 597860109 divided by 199286703. 3 Divide -84895164 by 147132. -577 -71908292 divided by -1 71908292 Divide -514468738 by 94346. -5453 -119085330 divided by 65793 -1810 Calculate -1026 divided by -494099. 1026/494099 -636 divided by 367970 -318/183985 -2223649 divided by 81 -2223649/81 Divide 562 by 31418. 281/15709 Divide -122751657 by -330867. 371 Calculate -205 divided by -1325202. 5/32322 Calculate 5199 divided by 636. 1733/212 -7504 divided by -52 1876/13 Calculate -35379 divided by -157. 35379/157 Calculate 13573 divided by 1101. 13573/1101 Calculate -243823 divided by 1. -243823 Calculate -6423 divided by 25973. -6423/25973 -243558090 divided by -18 13531005 Divide -537600 by 34. -268800/17 Calculate -101194315 divided by -2. 101194315/2 What is -213938328 divided by -274632? 779 Divide -12230208 by 22482. -544 Divide 10474802 by -14. -5237401/7 -4 divided by 6944093 -4/6944093 Divide -15454828 by 38. -406706 What is 66500833 divided by -220933? -301 What is 33 divided by 313954? 33/313954 What is 148 divided by -93535? -148/93535 Calculate 21 divided by 1614421. 21/1614421 Divide 22190 by -771. -22190/771 -436 divided by 502723 -436/502723 Divide 352571814 by 100134. 3521 Divide 1049999976 by 6. 174999996 Divide 8164098 by 302374. 27 Divide -6041781 by -12. 2013927/4 What is 1504617 divided by -1504617? -1 999100770 divided by 333033590 3 What is -130176144 divided by -1033144? 126 Calculate 149240 divided by -949. -11480/73 Calculate 11331 divided by -2330. -11331/2330 Calculate 289518210 divided by -563265. -514 -787261 divided by 23 -787261/23 Calculate 1642 divided by -3067. -1642/3067 -5409416 divided by -4 1352354 What is -156234268 divided by -39058567? 4 5197512 divided by 2598756 2 Calculate 6753 divided by -33362. -6753/33362 What is 17346048 divided by 491? 35328 What is 14407752 divided by -55844? -258 Calculate -5821396 divided by 1455349. -4 Divide 0 by -1254405. 0 Calculate -3114336 divided by -5. 3114336/5 What is -158 divided by -1652810? 79/826405 399858660 divided by -3660 -109251 3894 divided by -41459 -354/3769 Divide -113409 by -29. 113409/29 60912 divided by 609 20304/203 Calculate -73118 divided by 304. -36559/152 -7292405 divided by 428965 -17 What is -78368318 divided by -7? 11195474 Calculate -72710 divided by 26. -36355/13 754596004 divided by -5102 -147902 Divide -1772796 by -241. 7356 752356368 divided by -6 -125392728 -168685 divided by -2 168685/2 -1 divided by 3015425 -1/3015425 16106112 divided by -72 -223696 What is 10 divided by 5301436? 5/2650718 Divide -3892353 by -3892353. 1 Calculate -4375329 divided by -49161. 89 Calculate 235 divided by 2013921. 235/2013921 Calculate 15865272 divided by 72. 220351 What is -1593171 divided by -3? 531057 Calculate -11970 divided by -307. 11970/307 Calculate 2583 divided by -383175. -287/42575 19232925 divided by -6410975 -3 238727 divided by 20 238727/20 Divide 979 by -15540. -979/15540 Divide 5928206 by 1921. 3086 What is 48948032 divided by -3496288? -14 What is 357639226 divided by 1? 357639226 -13706 divided by 2760 -6853/1380 Divide -3797684 by -11. 345244 Divide 3 by -26820093. -1/8940031 -80131 divided by -96 80131/96 What is 4756 divided by -706? -2378/353 What is 585983 divided by 35? 585983/35 Divide 3251158 by -2. -1625579 What is 1421 divided by 9252? 1421/9252 What is -70888 divided by 193? -70888/193 350680500 divided by -20 -17534025 75642 divided by -75642 -1 -252 divided by -4422 42/737 What is 3212139 divided by -1? -3212139 Divide 891040 by -7. -891040/7 What is -325544850 divided by 6637? -49050 What is -495067188 divided by -12? 41255599 Calculate 1 divided by -66753903. -1/66753903 Divide -241507 by 134. -241507/134 -1602643 divided by -51 1602643/51 -12929796 divided by 718322 -18 Calculate -4120854 divided by 2060427. -2 Calculate -275270 divided by 1940. -27527/194 -14738 divided by 66272 -7369/33136 Calculate 186525336 divided by -3. -62175112 Divide -1 by -4744726. 1/4744726 -156153666 divided by -1369769 114 Divide 9246818 by 249914. 37 8892405 divided by 2964135 3 What is -2010338 divided by 4? -1005169/2 5 divided by -6424716 -5/6424716 Calculate 163 divided by -6300. -163/6300 Calculate -3 divided by -582157. 3/582157 What is 5 divided by 9512003? 5/9512003 Calculate -31762312 divided by 8. -3970289 Divide -7292 by -1464. 1823/366 Divide 0 by 322606521. 0 Divide -4 by -1709206. 2/854603 170201 divided by 234 170201/234 Calculate 233442600 divided by -46688520. -5 Calculate 62465585 divided by -41783. -1495 -36263260 divided by -191 189860 Divide 59604450 by 3225. 18482 70 divided by 38552 35/19276 Calculate 4 divided by 2132373. 4/2132373 -4 divided by 42940120 -1/10735030 Calculate -9413170 divided by 1235. -7622 Divide 4345158 by 3. 1448386 What is -10994508 divided by -28? 392661 Divide -1876942 by 1876942. -1 Divide -8971750 by -170. 52775 Calculate 51112064 divided by 64. 798626 Divide 48825079 by 6. 48825079/6 What is -1267530 divided by -330? 3841 Calculate 15392832 divided by 2912. 5286 16456960 divided by 65 253184 Calculate 22 divided by 19713676. 11/9856838 What is -1589 divided by 69715? -1589/69715 Calculate 64304280 divided by -108. -595410 What is -7418188 divided by 4? -1854547 Calculate 2273 divided by -29824. -2273/29824 What is 11 divided by 4292808? 11/4292808 -143887044 divided by -12 11990587 -1260725796 divided by 6 -210120966 What is -401463201 divided by -133821067? 3 What is 2582 divided by 1011? 2582/1011 Divide 1127 by -51873. -1127/51873 What is 1042426 divided by -98? -10637 Divide -9 by -2211986. 9/2211986 3 divided by -8600889 -1/2866963 Calculate -3978 divided by 398. -1989/199 Divide -162042042 by 438. -369959 Divide 49698942 by -8283157. -6 What is 2805 divided by -4684? -2805/4684 Calculate -128960 divided by 155. -832 Divide -32155236 by -6. 5359206 112568224 divided by 6431 17504 Calculate -525204800 divided by -5440. 96545 Calculate -649546 divided by -1. 649546 Calculate -65245 divided by 51. -65245/51 Calculate -57737 divided by 297. -57737/297 What is 33291 divided by -327? -11097/109 Calculate 15316800 divided by 6382. 2400 Divide 7 by -2353212. -7/2353212 1687868 divided by -24 -421967/6 What is -16019304 divided by -1428? 11218 Calculate 209601840 divided by -3485. -60144 What is -3 divided by 4877059? -3/4877059 4009927 divided by 39 4009927/39 Divide -319308570 by -31930857. 10 559 divided by -41557 -559/41557 Calculate 26096688 divided by 483272. 54 What is 356223820 divided by 35622382? 10 What is -128109 divided by -16? 128109/16 What is 462 divided by 255765? 154/85255 -5 divided by 25090059 -5/25090059 What is -27469872 divided by -6? 4578312 Divide 4 by -70272745. -4/70272745 -12989835 divided by -9 1443315 Calculate 60712810 divided by 16543. 3670 -166226 divided by 3057 -166226/3057 129503412 divided by 3636 35617 Calculate 15570540 divided by
{ "pile_set_name": "DM Mathematics" }
s the g'th term of -27, -11, 27, 99, 217, 393, 639? 2*g**3 - g**2 + 5*g - 33 What is the q'th term of 278, 287, 300, 317, 338? 2*q**2 + 3*q + 273 What is the a'th term of 2, -13, -30, -43, -46, -33, 2, 65? a**3 - 7*a**2 - a + 9 What is the t'th term of 15, -3, -39, -99, -189, -315? -t**3 - 3*t**2 - 2*t + 21 What is the b'th term of 102, 206, 310, 414, 518, 622? 104*b - 2 What is the w'th term of -2358, -4714, -7070? -2356*w - 2 What is the s'th term of 21, 81, 177, 309, 477, 681, 921? 18*s**2 + 6*s - 3 What is the d'th term of -11, -51, -119, -215, -339, -491? -14*d**2 + 2*d + 1 What is the u'th term of -15, 91, 267, 513, 829? 35*u**2 + u - 51 What is the c'th term of 4, 13, 22, 31, 40? 9*c - 5 What is the a'th term of -61, -123, -171, -199, -201? a**3 + a**2 - 72*a + 9 What is the x'th term of -1632, -1630, -1628? 2*x - 1634 What is the o'th term of 7, 27, 59, 103, 159? 6*o**2 + 2*o - 1 What is the q'th term of -223, -224, -225, -226? -q - 222 What is the t'th term of 11, 58, 143, 284, 499, 806, 1223? 3*t**3 + t**2 + 23*t - 16 What is the f'th term of 97, 340, 735, 1276, 1957, 2772, 3715? -f**3 + 82*f**2 + 4*f + 12 What is the j'th term of -102, -99, -96? 3*j - 105 What is the o'th term of -378, -371, -364? 7*o - 385 What is the w'th term of -528, -2134, -4814, -8568, -13396, -19298? -537*w**2 + 5*w + 4 What is the g'th term of -1, -10, -19, -28, -37, -46? -9*g + 8 What is the r'th term of 3309, 6619, 9929? 3310*r - 1 What is the m'th term of -58, -232, -528, -952, -1510, -2208, -3052? -m**3 - 55*m**2 - 2*m What is the d'th term of 6448, 6450, 6452, 6454, 6456, 6458? 2*d + 6446 What is the u'th term of -234, -442, -650, -858? -208*u - 26 What is the m'th term of -14, -24, -32, -38, -42, -44? m**2 - 13*m - 2 What is the u'th term of 2503, 2505, 2507? 2*u + 2501 What is the t'th term of -51, -122, -193, -264? -71*t + 20 What is the l'th term of 254, 246, 224, 182, 114, 14? -l**3 - l**2 + 2*l + 254 What is the q'th term of 10, 20, 30, 40, 50, 60? 10*q What is the t'th term of -156, -629, -1426, -2553, -4016? -t**3 - 156*t**2 + 2*t - 1 What is the p'th term of -1777, -3558, -5337, -7114, -8889, -10662, -12433? p**2 - 1784*p + 6 What is the a'th term of -7, -30, -91, -208, -399, -682, -1075, -1596? -3*a**3 - a**2 + a - 4 What is the s'th term of -27, -59, -95, -135, -179, -227? -2*s**2 - 26*s + 1 What is the z'th term of 91, 97, 103, 109, 115? 6*z + 85 What is the c'th term of 10, 36, 108, 250, 486, 840? 4*c**3 - c**2 + c + 6 What is the s'th term of 221, 372, 523, 674, 825, 976? 151*s + 70 What is the h'th term of -8, -62, -116, -170, -224? -54*h + 46 What is the d'th term of -6, 8, 48, 126, 254, 444, 708, 1058? 2*d**3 + d**2 - 3*d - 6 What is the g'th term of 48, 58, 82, 126, 196? g**3 + g**2 + 46 What is the b'th term of -40, -30, -6, 38, 108, 210? b**3 + b**2 - 42 What is the k'th term of 5, 9, 25, 59, 117, 205, 329, 495? k**3 - 3*k + 7 What is the m'th term of -14, -30, -46? -16*m + 2 What is the z'th term of 83, 76, 59, 26, -29? -z**3 + z**2 - 3*z + 86 What is the z'th term of 2242, 2232, 2222, 2212, 2202? -10*z + 2252 What is the v'th term of 45, 73, 119, 183? 9*v**2 + v + 35 What is the i'th term of -11, -39, -67, -89, -99? i**3 - 6*i**2 - 17*i + 11 What is the r'th term of 1038, 2078, 3118, 4158, 5198? 1040*r - 2 What is the u'th term of 120, 218, 388, 636, 968, 1390? u**3 + 30*u**2 + u + 88 What is the n'th term of -97, -107, -133, -181, -257, -367, -517, -713? -n**3 - 2*n**2 + 3*n - 97 What is the i'th term of -118, -124, -130, -136, -142? -6*i - 112 What is the h'th term of 864, 861, 858, 855, 852? -3*h + 867 What is the w'th term of -208, -417, -626, -835, -1044, -1253? -209*w + 1 What is the x'th term of 33, 148, 333, 582, 889, 1248, 1653? -x**3 + 41*x**2 - x - 6 What is the l'th term of 127, 121, 111, 97, 79, 57, 31? -2*l**2 + 129 What is the m'th term of -590, -602, -650, -752, -926? -3*m**3 + 9*m - 596 What is the s'th term of -230, -913, -2052, -3647, -5698, -8205, -11168? -228*s**2 + s - 3 What is the d'th term of 108, 111, 114, 117? 3*d + 105 What is the f'th term of -505, -1015, -1523, -2029, -2533, -3035, -3535? f**2 - 513*f + 7 What is the d'th term of 41, 36, 31, 26, 21? -5*d + 46 What is the s'th term of 83, 189, 299, 413? 2*s**2 + 100*s - 19 What is the r'th term of -58, -55, -42, -13, 38, 117, 230, 383? r**3 - r**2 - r - 57 What is the q'th term of -3, -40, -103, -192, -307, -448? -13*q**2 + 2*q + 8 What is the h'th term of 107, 209, 309, 407, 503, 597? -h**2 + 105*h + 3 What is the q'th term of 1592, 3185, 4778? 1593*q - 1 What is the x'th term of 56, 58, 60, 62, 64? 2*x + 54 What is the s'th term of 17, 7, -9, -31, -59, -93? -3*s**2 - s + 21 What is the h'th term of -10, -34, -58, -82, -106? -24*h + 14 What is the t'th term of 168, 332, 494, 654? -t**2 + 167*t + 2 What is the h'th term of 15969, 15970, 15971, 15972, 15973, 15974? h + 15968 What is the n'th term of -19, -39, -73, -121, -183, -259, -349? -7*n**2 + n - 13 What is the m'th term of -1, -3, -7, -13, -21, -31, -43? -m**2 + m - 1 What is the t'th term of 82, 161, 236, 307, 374, 437? -2*t**2 + 85*t - 1 What is the o'th term of -665, -675, -695, -731, -789, -875, -995? -o**3 + o**2 - 6*o - 659 What is the u'th term of -4, 24, 52, 80, 108, 136? 28*u - 32 What is the g'th term of -4473, -4472, -4471, -4470? g - 4474 What is the r'th term of -502, -1993, -4478, -7957, -12430, -17897, -24358? -497*r**2 - 5 What is the q'th term of 116, 213, 308, 401? -q**2 + 100*q + 17 What is the m'th term of -10, -23, -58, -127, -242, -415? -2*m**3 + m**2 - 2*m - 7 What is the v'th term of -4, -1, 6, 17, 32, 51? 2*v**2 - 3*v - 3 What is the o'th term of 725, 1452, 2177, 2900, 3621, 4340? -o**2 + 730*o - 4 What is the x'th term of -127, -133, -135, -127, -103, -57, 17? x**3 - 4*x**2 - x - 123 What is the z'th term of -1009, -1008, -1007, -1006, -1005? z - 1010 What is the l'th term of -125, -121, -115, -107? l**2 + l - 127 What is the q'th term of -253, -247, -239, -229, -217, -203, -187? q**2 + 3*q - 257 What is the h'th term of 22, 54, 90, 130, 174, 222? 2*h**2 + 26*h - 6 What is the w'th term of 164, 166, 168, 170, 172, 174? 2*w + 162 What is the l'th term of 20, 33, 40, 41? -3*l**2 + 22*l + 1 What is the h'th term of -10109, -10108, -10107? h - 10110 What is the y'th term of 1832, 3668, 5504, 7340? 1836*y - 4 What is the t'th term of 20, 41, 76, 131, 212, 325? t**3 + t**2 + 11*t + 7 What is the g'th term of -134, -271, -408, -545, -682, -819? -137*g + 3 What is the c'th term of -18, -36, -66, -108, -162? -6*c**2 - 12 What is the o'th term of -70, -122, -178, -238, -302, -370? -2*o**2 - 46*o - 22 What is the c'th term of -1166, -2327, -3490, -4655, -5822, -6991, -8162? -c**2 - 1158*c - 7 What is the f'th term of -13437, -13438, -13439, -13440, -13441? -f - 13436 What is the z'th term of -424, -840, -1244, -1630, -1992, -2324, -2620? z**3 - 423*z - 2 What is the i'th term of -233, -238, -245, -254, -265, -278, -293? -i**2 - 2*i - 230 What is the a'th term of -113, -200, -283, -362? 2*a**2 - 93*a - 22 What is the w'th term of 287, 293, 299, 305? 6*w + 281 What is the o'th term of -438, -437, -434, -429, -422, -413? o**2 - 2*o - 437 What is the r'th term of 130, 129, 128, 127, 126? -r + 131 What is the j'th term of -1080, -1081, -1082? -j - 1079 What is the s'th term of 25, 100, 231, 424, 685? s**3 + 22*s**2 + 2*s What is the q'th term of 36, 85, 152, 243, 364, 521, 720? q**3 + 3*q**2 + 33*q - 1 What is the k'th term of 1403, 1405, 1407, 1409, 1411? 2*k + 1401 What is the f'th term of 21, 23, 25? 2*f + 19 What is the p'th term of -1446, -1436, -1404, -1338, -1226, -1056, -816, -494? 2*p**3 - p**2 - p - 1446 What is the c'th term of 87, 168, 247, 324, 399, 472, 543? -c**2 + 84*c + 4 What is the l'th term of 1202, 1201, 1198, 1193? -l**2 + 2*l + 1201 What is the b'th term of 30, 159, 372, 663, 1026, 1455, 1944? -b**3 + 48*b**2 - 8*b - 9 What is the b'th term of 177, 343, 509, 675, 841, 1007? 166*b + 11 What is the u'th term of 19, 28, 37, 46? 9*u + 10 What is the y'th term of 135, 94, 59, 36, 31, 50, 99, 184? y**3 - 3*y**2 - 39*y + 176 What is the z'th term of -185, -186, -187, -188? -z - 184 What is the q'th term of -120, -121, -124, -129, -136? -q**2 + 2*q - 121 What is the k'
{ "pile_set_name": "DM Mathematics" }
*g - 3*g + 2 - 3*g)*(7*g**2 + 14*g**2 + 21*g**2). -168*g**3 + 84*g**2 Expand (0 + 5 + 0)*((1 - 3 + 3)*(6 - 15 + 2) + (-1 - 4 + 4)*(-1 - 3 + 6))*(-3*w + 2*w + 5*w**5 - 4*w**5). -45*w**5 + 45*w Expand (-1 - 2 + 7)*(-3*c + 9*c - 2*c)*(-c**3 + 4*c**2 - 4*c**2). -16*c**4 Expand (0*l**3 - 2*l**3 + 0*l**3)*(-127*l - 3 - 128*l + 250*l)*(0 + 3 - 1). 20*l**4 + 12*l**3 Expand (114*c**3 + 624 - 624)*(2*c + 2 - 2 + (-1 - 1 + 5)*(0*c + 2*c - 4*c)). -456*c**4 Expand (4*c - c + 2*c)*(-4*c + 0*c - 4*c) - 4*c**2 + 5*c**2 + 2*c**2. -37*c**2 Expand -18*o + 129*o + 34*o + 4*o - o - o + (-2*o + o - o)*(0 - 5 + 3) - 4*o - 2*o + 5*o. 150*o Expand (-h**4 - h**4 + h**4)*(2*h - 1 + 1) - 2*h**5 + 4*h**5 - 3*h**5 - 2*h**4 - h**5 + 2*h**4 + 39*h**5 - 14*h**2 + 48*h**2 - 42*h**5. -7*h**5 + 34*h**2 Expand (1076 - 2149 - 13*v + 1067)*(-2*v + 3 - 3). 26*v**2 + 12*v Expand (3*h - 12*h**2 - 4*h**2 - 22*h**2)*(-5 + 6 - 3 + (-1 + 7 - 2)*(-2 - 1 + 1)). 380*h**2 - 30*h Expand 5*z + 6*z**3 - 5*z + (25*z - 33*z - 61*z)*(0*z + z**2 + 0*z). -63*z**3 Expand (5 + z - 5)*(z**2 + 4 - 4) + 2*z**3 + 2*z**3 - 6*z**3 - 1065 - 45*z**3 + 1065. -46*z**3 Expand (2*k - 1 + 1)*(-k - k - k) + (-76*k**2 - 84*k + 84*k)*(0 - 1 + 2). -82*k**2 Expand (-7 + 7 - 5*f)*((0*f + 4*f - 3*f)*(1 + 1 - 3) + 2*f - 4*f + 6*f). -15*f**2 Expand 7*a + a**3 + a**2 - 7*a + (0*a + 2*a + 0*a)*(6*a - 5*a**2 - 6*a) - 4*a**3 + a**3 + 4*a**3. -8*a**3 + a**2 Expand (2 - 3 - 3)*(-2*l**3 + l**3 + 2*l**3) + 4*l**3 - 2*l**3 - 4*l**3 - 41 + 41 - 15*l**3 + l - l + l**3 + (0*l**3 - 2*l**3 + 4*l**3)*(1 + 1 - 3). -22*l**3 Expand (-2 + 3 - 5)*(-2 - 2 + 7)*(-3*x - 6*x**3 + 3*x - 1 - x). 72*x**3 + 12*x + 12 Expand (-4*p**3 - 4*p**3 + 3*p**3)*(3*p - 2*p + 2*p) + (-4*p**3 - 15*p + 15*p)*(p + 3 - 3). -19*p**4 Expand (2207 - 22*d**3 - 2207)*(0 - 2 - d + 0*d). 22*d**4 + 44*d**3 Expand (4 - 2*h - 4)*(253 + 111 - 9). -710*h Expand (1 - 2 + 3)*(12*i - i + 5*i) - 2*i + i - i - 2*i - i + 2*i + (0 + 0 + i)*(3 - 1 + 0). 31*i Expand (-576 + 158 - 271)*(1 - f**2 - 1). 689*f**2 Expand -l + 2*l - 3*l + (-1 + 3 + 0)*(-5 + 3*l + 0*l + 0*l). 4*l - 10 Expand (-32 + 32 - 4*r)*(295 + 33*r - 3*r - 292). -120*r**2 - 12*r Expand (3*j - 22 - 4*j + 14)*(-3*j - j + 6*j) + 0*j**2 - 2*j**2 + j**2. -3*j**2 - 16*j Expand (0*f + 0*f - f)*(-441 - f + 12*f**2 + 441) + (6*f + f - 2*f)*(-2*f**2 + 2*f**2 + 2*f**2). -2*f**3 + f**2 Expand (3*a - 3*a - a)*(1 + 0 - 2)*(-13 + 8 + a - 4). a**2 - 9*a Expand (8*n - 7*n + 6*n)*(-2 + 0 - 1)*(-2 + 2 - 3). 63*n Expand (x**4 - 5*x**4 + 7*x**4)*((2*x - 3*x - x)*(2 - 3 + 0) + 2*x + 0*x - 5*x) + (-x + x - x**5)*(-1 - 2 + 4). -4*x**5 Expand (0*d - 2*d + 0*d)*(-3*d + 33*d - 515 + 514). -60*d**2 + 2*d Expand (-1 - 4*d + 6 + 6*d)*(14 - 15 - 25). -52*d - 130 Expand -3*r + 3*r + 2*r**5 + (-3*r**4 + 2*r - 2*r + 3)*(-35 + 9*r + 35). -25*r**5 + 27*r Expand (-69*g - 20*g + 223*g)*(g**4 + g - g). 134*g**5 Expand (-1 - 3*n + 1)*((-3 + 3 - 2)*(-15 + 38 + 16) + 1 + 0 + 0)*(-n - 1 + 0*n + 3). -231*n**2 + 462*n Expand ((3 - 3 - 1)*(2 - 2*f - 2) - 3 + 2*f + 3 - 438 + 438 - 25*f)*(1 + 7 - 5). -63*f Expand (-3 + 3 - 2)*(-5867*f**2 + 2324*f**2 + 2888*f**2)*(4*f**2 - f**2 - 5*f**2). -2620*f**4 Expand (12*z**2 + 40*z + 5*z - 2 - 36*z)*(-4 + 2*z**3 + 4). 24*z**5 + 18*z**4 - 4*z**3 Expand (10*f - 2*f - 6*f)*(3*f + 2 - 3*f - 2*f**2 + f**4) + 2*f**2 - 2*f**2 - 10*f**5. -8*f**5 - 4*f**3 + 4*f Expand (-o - 18 - 25 + 13)*(-2*o + o - o + (-4 + 4 + o)*(0 + 0 - 1) + o + 0 + 0). 2*o**2 + 60*o Expand (3 - 3 - 6*f)*(2 - 2 - 2) + 3*f + 10*f - 2 - 18*f. 7*f - 2 Expand -3*p**3 - p**3 + p**3 + (-2*p + 0*p + 0*p)*(-2*p - p**2 + 2*p) + (p + 9 - 9)*(p - 2 + 2)*(-2*p - 1 + 1). -3*p**3 Expand ((-2*g**2 - 3*g + 3*g)*(1 - 1 - 1) + 11 - 11 - g**2)*(-3*g**2 - 260*g**3 - 2*g**2 - 26*g + 258*g**3). -2*g**5 - 5*g**4 - 26*g**3 Expand (3 - 3 - 1)*(0 + 1 - 5)*(5*w + 10*w + 8*w). 92*w Expand (d**2 + d**2 + 0*d**2)*(-3*d**2 + 0*d + 0*d) - 2*d + 2*d + d**4 + 3*d**4 - 2*d**4 + 0*d**4 + (-2*d**4 - d + d)*(-4 + 3 + 0). -2*d**4 Expand (-2 + 5 - 4)*(-2*g + 1 - 1) + 0 + 0 - g - 3*g + g + 9*g + (1 - 2 + 3)*(2*g - 6*g + 2*g) - 2*g + 5*g + 18*g - 4*g + 0*g + 3*g. 24*g Expand -2*m**5 + 14*m**3 + 111*m**4 - 111*m**4 + (3*m**4 - 8*m**4 - 2*m**4)*(m - 4*m + 4*m). -9*m**5 + 14*m**3 Expand 3*a + 4*a - 3*a + (0 + 0 - 2*a)*(-4 + 0 + 2) - 3 + 3 + a - 2*a + 5*a - 9*a - 14*a. -11*a Expand w - w - 2*w**2 + (0 + 1 + 0)*(2*w**2 - 7*w**2 + 3*w**2) + 2*w + 21 - 8 - 12 + 7*w**2. 3*w**2 + 2*w + 1 Expand (-3*k**2 + 4*k**2 - 2*k**2 - 2*k**2 + 0*k**2 + k**2 + (-1 + 2 - 3)*(k**2 - k**2 - 2*k**2))*(2*k**2 + 4*k + 5*k - 4*k)*(20 - 20 + 10*k). 40*k**5 + 100*k**4 Expand (n - 2*n - n)*(11*n**2 - 1 - 30*n**2 - 34*n**2). 106*n**3 + 2*n Expand 0*g + 0*g + 2*g**2 + (7 + 3 - 3)*(0*g**2 + 0*g**2 + g**2) + g**2 + 0*g**2 + 5*g**2. 15*g**2 Expand 24*z**3 - 10*z**3 + 26*z**3 + (0*z**2 - 2*z**2 + 0*z**2)*((-4 + 6 - 1)*(0*z + 5*z - 3*z) + 1 + z - 1). 34*z**3 Expand (-3 + 3 + j**3)*(1 + 2 + 1) + 0*j**3 + 0*j**3 + 5*j**3 + (j**2 + 2*j - 2*j)*(0 - 3*j + 0). 6*j**3 Expand (4*s - 5*s - s)*(4 - 8 + 5)*(-3 - 4 + 5). 4*s Expand (146 - 2*o**2 - 294 + 143 + 9*o)*(o + 3 - 3). -2*o**3 + 9*o**2 - 5*o Expand (126*d - 111 + 111)*(-3 - 2 + 6)*(3 - 3 + d**3). 126*d**4 Expand ((-4*t + 3*t + 3*t)*(1 + 2 - 2) + t + 2 - 2)*(18*t + 17*t - 10*t). 75*t**2 Expand 2*b**2 + b**2 - 4*b**2 + (-4 + 4 + b)*(b + 2*b - 4*b) + 9*b - 9*b - 5*b**2 + 5*b - 5*b + b**2. -6*b**2 Expand (-3*a**2 - 6*a**2 + 0*a**2)*(-5 + 17 - 1)*(2*a - 4*a - a). 297*a**3 Expand (3 + 2 - 3)*(1536*x - 423*x + 1204*x). 4634*x Expand (4070 - 8135 + 4065 - 662*d)*(-3 + 3 + 1). -662*d Expand 4*v - 5*v + 2*v + (-3*v + 7*v - 2*v)*(-17 - 36 - 2) + (-3*v + 3*v - v)*(-1 + 1 + 1). -110*v Expand (53 - 53*h**3 + 9*h**3 - 55)*(3*h - h + 0*h)*(5 - 5 - 6*h). 528*h**5 + 24*h**2 Expand -39 + 39 + 0 - 963*g + (2 - 6 + 3)*(-5 + 2*g + 5). -965*g Expand -4 - 15 - 58*r + 314*r + 8 + (1 - 5 + 3)*(-2*r - 4*r + 4*r). 258*r - 11 Expand (-224*s + 13*s + 119*s)*(-2*s - 2*s + 3*s)*(-2*s - 2*s + 3*s). -92*s**3 Expand (-6*o**2 + 8*o**2 + 3*o**2)*(-1 + 5 - 1)*(39 - 39 - 7*o)*(-5*o + 3*o + o). 105*o**4 Expand (10 + 16 - 4*t - 5)*(-3*t**3 + 3*t**3 + 2*t**3). -8*t**4 + 42*t**3 Expand -r**3 - 2*r**4 + r**3 - 12 + 14 - 11*r**4 - 14*r**4 + (r + r - 5*r)*(-4*r**2 + 4*r**2 - r**3). -24*r**4 + 2 Expand (-186*o + 107*o - 157*o)*(5 - 4 - 2). 236*o Expand (-t**2 + 4*t**2 - 2*t**2)*(-3 + 3 + t) + 2*t**3 + 4*t**3 - 4*t**3 + 75*t**3 + 446*t**3 - 89*t**3 - 2 + 2 - 2*t**3 + (-t + t - t**3)*(-5 + 3 + 1). 434*t**3 Expand (-c - c + 0*c)*(-c**2 - 2*c + 2*c) + 2*c**3 + 4 - 4 - 8*c**3 + 674677*c**2 - 95 - 674677*c**2. -4*c**3 - 95 Expand -5*x**3 - 5*x**3 + 3*x**3 + (3*x**2 - 2*x**2 + 0*x**2)*(2*x + 1 - 1) - 2*x**3 + 2*x**3 - 3*x**3. -8*x**3 Expand (-3*u + u**2 + 3*u)*(-2*u - u + u)*(-19 + 23 + 7). -22*u**3 Expand (-4*c - c + 3*c)*(0 + 0 + c) + 4*c**2 - c**2 - 2*c**2 - 12*c - 11*c**2 + 12*c - 3 - 14*c**2 - 5 + 15*c**2. -11*c**2 - 8 Expand (3*x**2 - 4*x**2 + 0*x**2)*((-2 + 2 - 2)*(-1 - 5 + 4) + 10 + 8 + 6). -28*x**2 Expand -5*j**2 + 141 - 141 + (-1 + j + 1)*(3*j - 3*j + 2*j). -3*j**2 Expand (-d + 0*d + 2*d + d + 0*d + d - d + 0*d - d + (-1 + 1 + 1)*(-3*d + 3*d - 2*d))*(-37*d**3 - 16*d**3 - 24*d**3). 77*d**4 Expand (0*a + 3*a - a)*(10 - 3 - 31)*(a**2 - 5*a + 5*a). -48*a**3 Expand (107*m**4 + 90*m**4 - 176*m**4 + (m**3 + m**3 - 4*m**3)*(3*m - 2*m - 2*m))*(3 - 1 + 0) - 3*m + 3*m + 2*m**4. 48*m**4 Expand -29*z - 66*z - 2*z + (1 - 3 + 0)*(-3*z + 0*z + 4*z). -99*z Expand (-48*u + 0*u - 30*u)*(-3*u**3 + 2*u**3 + 2*u**3). -78*u**4 Expand -2*a**2 + 4*a**2 + 4*a**2 + (2*a - 5 + 5)*(1 + 3 - 5)*(-8*a - 7*a + 9*a). 18*a**2 Expand 9*b + 87*b - 146*b - 366*b + (2 - 1 + 0)*(-2*b + 5*b - 2*b). -415*b Expand (-60*l + 590 - 590)*(l**2 + 2*l**3 + 2 - 5*l**3 + l**2). 180*l**4 - 120*l**3 - 120*l Expand (-23*w + 4*w + 27*w - 8)*(2*w**4 + 3*w**4 - 4*w**4). 8*w**5 - 8*w**4 Expand (-3*a**3 + 12 - 12)*(0*a + 5*a - 3*a) + 18*a**4 + 33*a**4 + 32*a**4. 77*a**4 Expand (739*k - 634*k - 556*k)*(0*k**2 + 2*k**2 - k**2). -451*k**3 Expand (-5 + 2 + 5)*((0*q + 2*q + 0*q)*(2 + 2 - 6) + 38*q - 6*q - 4*q). 48*q Expand (-12*h - 7*h + 6*h + 0*h)*(-10*h + 15*h + 11 - 6*h). 13*h**2 - 143*h Expand 0*d + 2*d**2 + 0*d + 5*d**2 - 2*d**2 + 0*d**2 + (-d - d + 0*d)*(-d - 1 + 1) - 5*d**2 + d - 5*d**2 + 0*d. -
{ "pile_set_name": "DM Mathematics" }
- 3*d - 2*d - 11 = 0. Let p = -2 + g. Solve -3*u - 16 = -p for u. -4 Let d = -19 - -19. Suppose 2*g - 15 - 17 = d. Solve 4*b = -0*b - g for b. -4 Let j(w) = w - 3. Let q be j(6). Solve 0 = -0*k + q*k - 9 for k. 3 Let h be 10/((-1 - 3)/(-8)). Solve -2*o - 2*o + h = 0 for o. 5 Suppose -2 = j - 7. Solve -8 = -j*l + 7 for l. 3 Let t = -2 - -8. Solve -5*w + 2*w = t for w. -2 Suppose -4 = 2*x, -5*b + 9 = -0*x - 2*x. Suppose -l + 3 = b. Solve l*q - 4 = 6 for q. 5 Suppose 20 = 4*m, 0*i = 5*i - 5*m + 25. Solve i = 2*v - 3*v for v. 0 Let u = -53 - -55. Solve 0 = -2*j - u for j. -1 Suppose 0 = -2*c - 5*b + 1, -c + 0*b + 1 = 2*b. Suppose -c*z = 5*p + 13, -3*p = -p - 4*z. Let q be p/6 - (-20)/6. Solve 0*u = -u - q for u. -3 Let a = 56 + -54. Let l(q) = q**3 - 4*q**2 - q + 4. Let h be l(4). Suppose 6 = -h*t + a*t. Solve 2*s + t*s = -20 for s. -4 Suppose 5*h + 19 - 47 = -4*j, 0 = -3*j - 3*h + 18. Solve 0 = y + j*y - 9 for y. 3 Suppose 6*b - 48 = 2*b. Suppose -6*l + 2*l = 5*n + b, -4*n - 4*l - 12 = 0. Let o = 3 + n. Solve -o*h = -0*h - 15 for h. 5 Let z(q) = -q - 3*q + 0*q + q**2 + 4. Let g be z(2). Solve g*m = -m for m. 0 Suppose -20 = -2*z + 6*z. Let i be (z - (-9)/3)/(-1). Solve -i = -4*o + 2 for o. 1 Suppose -2*g = 2*g + 16. Let a be (3 + g)/(2/(-8)). Let z be 50/6 + 8/12. Solve a*p + z = -11 for p. -5 Suppose 0 = 2*b - 4. Suppose -4*s - 4*k + 4 = -28, -3*s = 2*k - 26. Let y(h) = -h**3 - 2*h**2 - h - 2. Let g be y(-2). Solve -b*w + g = s for w. -5 Let i(b) = -b**3 - 17*b**2 + b + 18. Let n be i(-17). Let o(d) = d**2 - 1. Let g be o(2). Solve -l + n = g for l. -2 Let o = 2 - 1. Let l be (o/(-2))/((-5)/30). Solve 3*j = -0*j + l for j. 1 Suppose 3 = 8*n - 13. Solve -n*f = 2*f - 4 for f. 1 Suppose 31 = 12*n - 29. Solve 15 = -5*v + n for v. -2 Let d(l) = -2*l**3 - l**2 - 4*l + 2. Let q(o) = o**3 + 3*o - 2. Let g(v) = 2*d(v) + 3*q(v). Let a be g(-3). Solve 4 + 0 = -a*y for y. -1 Let w be ((-30)/(-2))/((-2)/4*-2). Solve -2*t + 5*t = -w for t. -5 Let v(o) = -o**2 - 3*o + 3. Let n(q) = -q**2 - 2*q + 3. Let y(p) = -2*n(p) + 3*v(p). Let i be y(-5). Suppose -2*h - i*h + 20 = 0. Solve -h*c = -9*c for c. 0 Let v = -3 + 16. Solve 0 = -5*j + 12 + v for j. 5 Let u be ((-16)/6)/(12/(-54) - 0). Solve -u = 5*q - 2 for q. -2 Let h(s) = -s**3 - 3*s**2 + 3*s + 5. Let m be h(-4). Let y be (4 - 18/5)*30. Let x be y/(-30) + (-12)/(-5). Solve 0 = -x*f + m - 3 for f. 3 Let g = -3 + 15. Suppose 3*m - 7*m = g. Let u = 3 + m. Solve 5*w + 10 = -u for w. -2 Suppose 0 = -4*g - g + 15. Solve -g*p - 20 = p for p. -5 Let x(y) = 2*y**2 - 2*y + 1. Let r be x(2). Suppose 5*m - 10 = r. Suppose 0 = 3*w - 15 + m. Solve -w = -n - 2 for n. 2 Let x(h) = -3*h**3 - 22*h**2 - 9*h - 10. Let m be x(-7). Solve 10*j + m = 8*j for j. -2 Let n be (0/(4 + -9))/(3 - 1). Solve n = x + 4 - 8 for x. 4 Suppose 5*f = 4*d - 37, -d - 2*f - 8 = -1. Solve -d = -4*x - 15 for x. -3 Suppose -4*c + 9 = -3. Let u = c - 3. Solve u*a = 3*a + 12 for a. -4 Suppose 4*b - 34 = -2*d, 2*d = -3*b + 5 + 20. Solve -11*m = -b*m + 8 for m. -4 Suppose -4*u = 3 + 5. Let i be 24/8 - (u - -3). Solve -y = i*y for y. 0 Suppose 14 + 1 = -5*z. Let n be 0/(-1) - (-2 + z). Let c be 2/2 - (0 + 1). Solve 4*a - 5*a - n = c for a. -5 Let o be -1*((-3)/(-3))/(-1). Suppose -x + o = -2*x - 3*g, -5*g - 1 = 2*x. Solve x + 0 = -2*b for b. -1 Let k(m) be the second derivative of -m**4/12 - 2*m**3/3 + 7*m**2/2 + 3*m. Let h be k(-5). Solve -h = d - 1 for d. -1 Suppose -2*u + 3 = 13, -50 = -3*c + u. Solve -j + 4*j = c for j. 5 Let l be -15 + 2 - (-2 + 2). Let t = l - -16. Solve -25 = 2*m + t*m for m. -5 Let z(m) = -4*m + 6. Let u be z(0). Solve -2 = -w - u for w. -4 Let q be 3 + -3 + (-5)/(-1). Solve 0 = -y + q - 3 for y. 2 Suppose 3*u - o - 13 = 0, u = 3*o - 13 + 28. Solve -d = u + 1 for d. -4 Suppose -5*t - h = -8, -t - 2*t - 4*h - 2 = 0. Suppose -t = -5*r + 3*p + 10, 0 = -r - 3*p - 12. Solve r*x - x = 5 for x. -5 Let a(v) be the third derivative of v**4/12 - v**3/2 + 2*v**2. Let y(h) = 5*h**3 - h**2. Let r be y(1). Let k be a(r). Solve 0 = -z + k*z + 16 for z. -4 Let s be (1 + -1)*(4 + -5). Suppose -3*v + 5*v - k = 0, -3*v - 5*k + 26 = s. Solve 0 = -5*o + v*o + 6 for o. 2 Let w(n) = n**2 + 5*n. Let x be w(-5). Solve 0 = 3*v - x*v + 9 for v. -3 Suppose 0 = -3*h + 4*h + 2*t - 12, -4*h - t + 13 = 0. Suppose 3*g + 2 = -7. Let n be (-1 - -2) + g + 2. Solve n*p + 8 = -h*p for p. -4 Let o be 8 + 0 - 3*1. Suppose 2*f - 10 = o*q, -3*f - 4*q = -90 + 29. Solve 2*s - 7*s = f for s. -3 Suppose 5*t - 4*t = -2*f + 7, -5*f + 11 = -4*t. Suppose 0 = -g + t - 4. Let j be (2 + g)/(3/(-6)). Solve -2*p + 2 = -j for p. 2 Suppose 2*o = 1 + 13. Let l(z) = z**2 - z + 5. Let t be -4*(-3)/4 + -3. Let f be l(t). Solve -f*a + 3 = -o for a. 2 Let l = 0 - 2. Let o be (-1)/(-1) - (l - -3). Solve o = i - 5*i - 12 for i. -3 Suppose z - 3*m - 6 = -3*z, 0 = 5*z - 4*m - 8. Suppose -2*b + 20 = 3*b. Solve b = r - z for r. 4 Let g(j) = j**2 - 12*j + 24. Let z be g(10). Solve 0 = f + f + z for f. -2 Let v be (72/(-126) + 20/(-14))*-1. Solve 3*g = 7 + v for g. 3 Let y(v) = -v**2 + 7*v + 5. Let o be y(7). Suppose o*q - q = 0. Solve q = 4*s - s - 9 for s. 3 Suppose 0 = -5*j + k + 194, 10*j - 5*j - 4*k = 206. Suppose -q - j = -3*q. Solve -q = 4*t - 7 for t. -3 Let r(w) be the second derivative of -5/2*w**2 + 3*w + 1/3*w**3 + 0. Let p be r(5). Solve -3 = 2*k + p for k. -4 Suppose -3*r = 6, -5*u + r = -r - 4. Solve 2*f - f - 5 = u for f. 5 Let k be 0/(-2) - 8/(-1). Let m be (21/7)/1 - 3. Solve -3*u + k*u - 25 = m for u. 5 Let j be ((-2)/6)/((-1)/3). Solve s = 2*s + j for s. -1 Suppose 16 = 11*f - 3*f. Solve -b + 3 = f*b for b. 1 Let y(f) = f**2 + f. Suppose -4 = 2*l - l. Let t be y(l). Solve t - 4 = -2*j for j. -4 Suppose -4*i + 14 = 2*g, -i = -5*i + 3*g - 11. Let v be -1*(3 + -4) - i. Suppose 3*q - 4*q + 8 = -3*a, -5*q - 4*a + 21 = v. Solve q*c = c - 12 for c. -3 Let l be (136/(-12))/(2/(-3)). Let v = 4 + -1. Let n = v + l. Solve 2*a = -3*a + n for a. 4 Suppose -5*g - 2 = -3*g. Suppose -11 = 2*s - 3. Let i = g - s. Solve i*w = -2 + 17 for w. 5 Suppose 0*f - 12 = -3*f. Suppose -2*q + 10 = 4*n, -5*n - 3*q = -4 - 8. Solve n*l = 5 + f for l. 3 Let w(l) = 3*l + 12. Let x be w(-4). Solve x = -4*r + 5*r for r. 0 Suppose 0 = 6*l - 7*l + 2. Let m = -2 - 0. Let a = m + l. Solve a = -f + 2*f + 3 for f. -3 Suppose w - 5 = -2*c, 0 = -w - 4*c - c + 8. Solve g + w*g = 4 for g. 1 Suppose 10 = 3*l - 2*f + 4*f, -l + 26 = -5*f. Solve -q - l = -2 for q. -4 Let o = -4 + 6. Suppose -3*k + 2*v = k - o, 0 = -4*k + 3*v + 3. Solve k*g - 2*g + 6 = 0 for g. 3 Let r = -7 - -4. Let q = 8 + r. Solve -2*o + o - q = 0 for o. -5 Let i(t) = t + 1. Let h be i(4). Let x = -2 + h. Suppose 5*o - 3 = 3*a - 9, x*o - 2 = -a. Solve 0*m + m - a = 0 for m. 2 Suppose 6*x = -0 + 36. Solve x*b - b = 25 for b. 5 Let c = -5 + 2. Let u(j) = -4*j. Let f be u(c). Solve 0 = l + 2*l - f for l. 4 Suppose 2*m + 0*m - 4 = 2*t, 4*t = -m + 22. Suppose j = m*j + v - 18, -3*v - 10 = -j. Let n = -20 + 23. Solve -o - j = n*o for o. -1 Suppose 4*c - m = 6 + 1, 0 = 3*c - 5*m + 16. Let k(t) = t - 5. Let b be k(10). Let g = 8 - b. Solve -g = 2*z - c*z for z. 3 Suppose -w = -2*y - 6 - 3, 24 = 3*w - 5*y. Let b = w + 0. Let q(s) = -s. Let p be q(-6). Solve -5*n = -b*n - p for n. 3 Suppose 5*q - 4*q + 7*q = 0. Solve q = -4*t + 9*t for t. 0 Suppose 2*p = 7*p. Let u(y) = 3*y. Let w be u(0). Solve p = -2*t - 4 - w for t. -2 Suppose -5*o = 5*z - 35, -2*o + 5*o = 3*z + 9. Let r = 9 - o. Suppose k + r*k - 40 = 0. Solve k - 4 = -4*x for x. -1 Let b(l) = -l**3 - 3*l**2 + 3*l - 4. Let x be b(-4). Suppose -3*t = -x*t - 18. Suppose c + 3*r - 15 = 0, 3*c = -5*r + 31 - t. Solve c = 5*a - 3*a for a. 0 Suppose 3*i = 5*i. Solve -p - 5 = -i for p. -5 Let o(l) be the second derivative of 4*l**4/3 - l**3/3 + l**2/2 - l. Let r be o(1). Solve 0 = -5*d + r for d. 3 Suppose -3*v + 2*s + 8 = 0, 0*v + 12 = 3*v - 3*s. Let o(u) = -u + 4. Let w be o(v). Let t = -11 - -17. Solve -y = -w*y - t for y. -2 Let i be 195/26 + (-1)/2. Solve 5 = 4*n - i for n. 3 Suppose 5*k - 8 = 2. Solve -15 = -j - k*j for j. 5 Let l(a) = -a**2 - 5*a + 4. Let y be l(-5). Solve y*u = 3*u for u. 0 Let g(t) = t - 2. Let n be (20/(-15))/(4/6). Let v(f) = -f + 1. Let o(y) = n*g(y) - 3*v(y). Let p be o(7). Solve 3*z = p - 2 for
{ "pile_set_name": "DM Mathematics" }
p**3 + 2*p**3 - p**3). -45*p**4 Expand -l**3 - 8*l**5 + l**3 + 4*l**5 - l**5 - 2*l**5 + (-l**4 - l**4 + 3*l**4)*(4*l - 2*l - l) + (-2*l**4 - 5*l**3 + 5*l**3)*(0 + 0 + 3*l). -12*l**5 Expand (-3*b + 2*b + 4*b)*(-3 + 0 + 1 + (4 + 2 - 2)*(-3 - 1 + 5)). 6*b Expand (-1 + 2*w + 1)*(2*w - 6*w + 2*w) - w**2 + 3*w**2 - w**2 + (w + w + 0*w)*(4*w + w + w). 9*w**2 Expand (0*z + 5*z + 0*z)*(-2 + 2 + 2*z) - z**2 - 3*z**2 + 6*z**2. 12*z**2 Expand (3 + 1 - 3)*(-o**5 + 0*o**5 - o**5) + 17*o**3 - 17*o**3 + 7*o**5 + (3*o**2 - 4*o**2 + 0*o**2)*(2*o**3 - o + o). 3*o**5 Expand (2*n**2 + n**2 - n**2)*(-4*n - 2*n + 4*n)*(-4*n + 9*n + 4*n). -36*n**4 Expand (0*i - 11*i + 0*i)*(2*i + 0*i - 4*i). 22*i**2 Expand (3*z - 3*z - 2*z)*(0*z**2 - 5*z**2 + 3*z**2) - z**2 + z**2 + 2*z**3 + (3 - 2*z - 3)*(2*z**2 - 2*z**2 + 2*z**2) + 0*z**3 - z**3 + 2*z**3. 3*z**3 Expand -2*m + m - m - 1 + (6 - m - 6)*(2 - 3 + 4) - 2*m + 3*m + 0*m. -4*m - 1 Expand (2*h**2 + 4*h**2 - 18*h**2 - 3*h**2 - 3*h**2 + 5*h**2 + (h - 4*h + h)*(-2*h - 5*h + 5*h))*(1 - 1 - 2)*(-4 - 2*h + 4). -36*h**3 Expand (-10*c - 19*c + 9*c)*(0*c - 6*c + 2*c). 80*c**2 Expand y**3 - y**3 - 2*y**3 + (5*y**3 - y**3 - 2*y**3)*(-4 + 2 + 0) + 4*y**2 - 2*y**3 - 4*y**2 + 3*y - 2*y**3 - 3*y - y**3 + 13*y**3 + 16*y**3. 18*y**3 Expand (14*u**3 - u**4 - 1 + 2*u - 14*u**3)*(-1 + 1 - 1). u**4 - 2*u + 1 Expand (4*j**3 + j - j)*(0*j - 12*j + 5*j)*(-j - 3*j + 2*j). 56*j**5 Expand (61*g**2 + 169*g**2 - 3*g**2)*(3*g + 3*g - 4*g). 454*g**3 Expand -5*q**2 - q**2 + 2*q**2 + (2 - 2 + 2)*(3*q**2 + 0*q**2 - 2*q**2). -2*q**2 Expand (-2 - 4 + 4 + 0 + 0 + 1 + (2 - 1 - 3)*(-2 + 0 + 1) + 1 - 1 + 1 + 2 + 2 - 3 + 0 + 2 + 2)*(l**4 + 2*l - 2*l). 7*l**4 Expand (-f**4 + 0*f**4 - 9*f**4)*(-2*f + 4*f - 6*f)*(-1 + 3 - 4). -80*f**5 Expand ((-4 + 1 + 2)*(-4 + 1 + 5) - 1 + 5 - 2 + 2 - 5 + 1)*(1 + 0 - 2)*(-22*k - 19*k + 15*k). -52*k Expand ((-5 + 3 - 1)*(6*g - g - 4*g) - 3*g - 3 + 3)*(3*g**3 + 1 + 3 - 3). -18*g**4 - 6*g Expand 3 - 3 + j + (2 - 2 + 2*j)*(3 + 4 - 5) + 0*j + 0*j - 2*j - 2*j + 0*j + 0*j + (-3 + 3 + 2*j)*(2 - 4 + 0) - j + 0 + 0 - 2 + 3*j + 2. -j Expand (-2*r**3 + r - r)*(-4*r - r + 3*r - 6*r**2). 12*r**5 + 4*r**4 Expand (12 - f - 12)*(1 + 3 + 0). -4*f Expand (9 - 1 - 6)*(-p**2 - 1 + 0*p + 0*p). -2*p**2 - 2 Expand (u**2 + 0*u**2 - 2*u**2)*(-5*u**2 - 2*u + 2*u + (-5 + 5 - u)*(-u - 2 + 2)). 4*u**4 Expand (-3*f**3 + 4*f - 4*f)*(-3*f + 0*f + 0*f). 9*f**4 Expand (12*f - 7*f + 15*f + 0*f + 3*f - 4*f + (0 + 3 - 5)*(3*f + 0*f - f))*(-2*f + 2 - 2). -30*f**2 Expand (0*a - 3*a + 5*a)*(8*a + 6*a - 19*a - a + 1 - 1 + (0*a + 4*a - 5*a)*(-5 + 4 + 3)). -16*a**2 Expand (-5*s - 2*s - 3*s)*(0*s - s + 0*s) - 2*s**2 + 1 - 1. 8*s**2 Expand (-11 - r + 11)*(-4 + 2 + 4 - r)*(1 - r - 1). -r**3 + 2*r**2 Expand (-20*f**3 - 2 + 29*f**3 - 12*f**3)*(-2*f**2 + 2*f**2 + 2*f**2). -6*f**5 - 4*f**2 Expand 3*j - j**2 - 3*j + 0*j**2 + 4*j**2 + 3*j**2 + (3 - 3 - 2*j)*(0*j + 4*j - 2*j). 2*j**2 Expand (-3*f**3 + 3*f**3 - f**3)*(-2 + 0 + 4) - 5*f**3 + 5*f**3 + 4*f**3 - 2*f**3 + f**3 - 2*f**3 + (0*f + 0*f + 2*f**3)*(0 + 2 - 1). f**3 Expand (-3*i + 0*i - i)*((-1 - 3 + 3)*(-i - i + 3*i) - 5*i + 5*i - i - 3*i + 0*i + 2*i). 12*i**2 Expand (0*j**2 + 0*j**2 - 3*j**4)*(15 + 3 - 10). -24*j**4 Expand (2*d**3 - 4*d**3 + 4*d**3)*(4*d**2 - 3*d**2 - 3*d**2) - 5*d**5 + 0*d**5 + 3*d**5 + (1 - 1 - d**2)*(6*d - 3*d**3 - 6*d) + d + 2*d**5 - d. -d**5 Expand (5*d**3 - 8*d**3 + 8*d**3)*(4 - 4 + 2*d). 10*d**4 Expand (-4*h - 7*h + 2*h)*(0 - 2 + 3)*(1 + 0 + 0). -9*h Expand (-2*a**2 + 0*a**2 + a**2)*(-2*a - 2 + 2) + 4*a**3 + 0*a**3 - 3*a**3. 3*a**3 Expand (-46*g - 35*g**2 + 46*g)*(2*g - 2*g + g**3). -35*g**5 Expand (-2*p + 4*p - p)*(1 + 0 + 10) + p - 5*p + 3*p. 10*p Expand (-3*v**2 + 5*v**2 - v**2)*(-v - 3*v + 6*v) + 3*v - 3*v**3 - v**3 + 3*v**3. v**3 + 3*v Expand (-f + 2*f + 3*f)*(f - 6*f + f). -16*f**2 Expand (-2*i + 5*i - i)*(4*i**2 + 2*i**2 - 5*i**2) + (5 - 5 - 2*i**2)*(-i - 2*i + 2*i) - 3*i**3 + 5*i**3 + 7*i**3. 13*i**3 Expand (19 + 5*o - 19)*(4*o**4 - 3*o**4 + o**4). 10*o**5 Expand (1 + 6 - 3 + (1 - 2 + 3)*(1 - 2 + 3) + 0 + 5 - 3)*(3*j**2 - 2*j**2 + j**2). 20*j**2 Expand (-2*g + g**3 + 2*g)*(g - 4*g + 2*g) + g**4 - 2*g**4 + 0*g**4 + (3*g**3 + 2*g**3 - 4*g**3)*(-4*g + g + g) + g**4 - 2*g**4 + 2*g**4. -3*g**4 Expand (-5 + 5 - 6)*(2*y**2 + y**2 + 2*y**2). -30*y**2 Expand (-64 + 64 - 4*s)*(0*s + 0*s + s). -4*s**2 Expand 1 + 8 - c**3 - 17 + (2*c**2 - 2*c**2 + c**2)*(2*c - 2 + 2) + 3*c**3 + c**3 - 3*c**3. 2*c**3 - 8 Expand (-2*r + 4*r - 3*r)*(-5 + 3 + 3) + 2*r + 2*r - 2*r + (-2 + 3 + 1)*(0*r - 2*r + r) - 2*r - r + 2*r - 2 + 2 - 2*r. -4*r Expand (5*n + n - 4*n)*(0 - 3 + 2) - 2*n - 2*n - 4*n + n - n + n. -9*n Expand (-2 - w**4 + 2)*(1 - 2*w - 1) + 3*w**5 + w**5 - 3*w**5. 3*w**5 Expand (4*o - 2*o**2 - 2*o + 2*o)*(1 - 3 + 4) - 6 + 6 - 3*o**2. -7*o**2 + 8*o Expand (-i + 0*i - i)*(-2 - 1 + 2) + 2*i + 3*i - 3*i + 3*i + 0*i - 2*i. 5*i Expand -4*a**3 + 4*a**3 - 2*a**3 + (a + 2*a**3 - a)*(0 - 2 + 1) - a**2 + a**3 + a**2 + 6*a**3 - 7*a**3 - a**3 - 2*a**2. -5*a**3 - 2*a**2 Expand (a**4 - 4*a**4 + 5*a**4)*(0 + 1 - 2) + a**4 + 0*a**4 + 0*a**4 + (-664 + 664 + 27*a**2)*(-a + a - 2*a**2). -55*a**4 Expand (4 - 3 + 1 + (1 - 2 + 2)*(1 + 3 - 3) + 3 - 4 - 1 + (-4 + 7 + 5)*(1 + 1 + 0))*(4*f**3 - 4*f**3 - 2*f**4). -34*f**4 Expand (3 + 5 - 5 + (1 - 4 + 5)*(-1 - 2 + 4) - 1 + 4 - 1 + 0 - 1 + 2)*(-u**3 - 2*u**3 + 2*u**3)*(0*u + 0*u - u**2). 8*u**5 Expand (2*t**2 + 0 + 0)*(0*t - 2*t + 0*t) + (t**3 + 3*t**3 - 3*t**3)*(1 - 2 + 0) + 2*t**3 + 0*t + 0*t. -3*t**3 Expand -9*f**4 + 812 - 812 + (-1 + 1 - 2)*(1 - f**4 - 1) + 3*f**4 - f**4 - f**4. -6*f**4 Expand -o**5 + 5*o**5 - 2*o**5 + (4*o**2 - 4*o**2 + o**2)*(-2*o**3 + 1 - 1) - o**5 + 4*o**5 - 4*o**5 + (-2*o + 2*o - o)*(-13*o**2 + 13*o**2 - 15*o**4). 14*o**5 Expand (-3 + 3 + 2*l + (4 - 3 + 2)*(-l + 0*l + 2*l))*(-2*l + 2*l - l). -5*l**2 Expand -v**5 + v**5 + 3*v**5 + v**3 - 2*v**4 + 2*v**4 + 2*v**5 + (3 - 2*v**2 - 3)*(3*v**3 - 4*v**3 + 3*v**3). v**5 + v**3 Expand (4*v**2 + 0*v**2 + v**2 + (-4 + 2*v + 4)*(-4*v - v + 4*v))*(-2*v**2 - 3*v**2 + 2*v**2). -9*v**4 Expand 4*w**4 - 2*w**4 + 0*w**4 + (-11*w - 9 + 9)*(2*w**3 + 0*w**3 - 4*w**3) + 0*w + 0*w + w**4. 25*w**4 Expand (-3 + 3 + 2*x + (3 - x - 3)*(0 + 0 + 1) - x - 2 + 2 + 9*x - 5*x + 8*x)*(-3 + 6 - 2). 12*x Expand (-b - 2*b + b)*(11 + 2*b**4 - 11) - b**5 - b**5 + 4*b**5 - 1. -2*b**5 - 1 Expand (-1 + 5 - 6 + 14*o**3)*(o**2 - 3 + 3). 14*o**5 - 2*o**2 Expand (-3*h + h**2 + 3*h)*(-2*h**2 + 0*h**2 + 0*h**2) + 0*h**4 - h**4 + 2*h**4 + 4*h - 2*h + 71*h**4 - 73*h**4 + 7. -3*h**4 + 2*h + 7 Expand (-10*r + 10*r - r**2)*(-r + 8*r - 5*r). -2*r**3 Expand (-1 + 0 + 2 + 2*r)*(300 + 58*r**2 - 300). 116*r**3 + 58*r**2 Expand (0 + 0 + 2*m**2)*(-1 + 3 + 5)*(2 + 0 - 4). -28*m**2 Expand (0 - 2*h + 0)*(3 - 7 - 1)*(4 - 2 + 0). 20*h Expand (-3*w**3 + 7*w**3 - w**3)*(-2*w + w + 2*w)*(-1 - 2*w + 1). -6*w**5 Expand (46*x + 47*x**2 - 46*x)*(3*x + 3*x - 5*x)*(-3*x + 0*x + 2*x). -47*x**4 Expand (16 + 2 - 3 + (2 - 2 + 2)*(0 + 0 + 1) - 5 + 2 + 1 + 0 - 4 + 3 + 0 - 2 + 4)*(-4*w + w + 2*w). -16*w Expand 3*b - 8*b + 4*b + 2*b**2 - 2*b**2 + b**2 + 0*b**2 + (-4 + 2 + 0)*(-b**2 + 0*b**2 + 0*b**2). 3*b**2 - b Expand 0 + 2*j**2 + 0 + 4*j**2 - 3*j**2 + 0*j**2 + (2*j - 3*j - j)*(2*j - 4*j + 3*j) - 2*j**2 + 0*j**2 + j**2 + 16*j - 6*j**2 - 16*j. -6*j**2 Expand -230*i + 230*i + 20*i**2 + (3 + 0 - 4)*(2*i**2 + 2*i - 2*i) + 3*i - 3*i - i**2. 17*i**2 Expand (-y**4 - 7*y**4 + 3*y**4)*(2 - 3 - 3)*(6*y - 2*y - 3*y). 20*y**5 Expand -t**5 - 7*t**5 + t**5 + (0*t + 0*t + t**2)*(-2 + 4*t**3 - 5*t**3 + 2*t**3). -6*t**5 - 2*t**2 Expand (9 - 6 + 4)*(0 - 4 + 3)*(0*b - 2*b + 3*b). -7*b Expand (3*d**2 + 9*d**2 + 2*d**2)*(3 + 0 - 1 + (7 - 2 - 3)*(-3 + 2 - 1)) - 4 + 4 - d**2. -29*d**2 Expand (4*r - r - 5*r + (6 - 3 - 2)*(-r + r - r))*(0 - 1 + 3). -6*r Expand (-3*a + a + 5*a)*(-1 - 2 + 4)*(-5 + 1 + 0). -12*a Expand (2 + 4 - 1)*(-2*g + 2*g - g) - 3*g + 4*g - 2*g. -6*g Expand 0*d**5 - d**5 + 0*d**5 + (6*d - 6*d + 3*d**3)*(-2 + 7*d**2 + 2). 20*d**5 Expand (0 + 0 - 2*c)*(5 + 0 + 1)*(-2*c + 0*c - c). 36*c**2 Expand (0*l + 0*l - 2*l**2)*(0 - 1 + 4)*(-2*l**2 - l**2 + 4*l**2). -6*l**4 Expand (-39 + 31*f + 39 + (2 - 1 + 0)*(0*f + 3*f - f) - f + 1 - 1)*(4*f**4 - 2*f**4 - 4*f**4). -64*f**5 Expand (-3*l + 4*l + 2*l)*(-2*l + 0*l + l
{ "pile_set_name": "DM Mathematics" }
0011101 In base 7, what is -2115531555 - 3? -2115531561 In base 14, what is -412b - 91? -41bc In base 12, what is 12666 - -6385? 18a2b In base 2, what is -111 - -1011110010010111000? 1011110010010110001 In base 11, what is -566020 - 4? -566024 In base 4, what is -10 + 2021030323030? 2021030323020 In base 12, what is 6b03788 + 10? 6b03798 In base 11, what is aaa70 + 893? 100853 In base 7, what is -5301056 + 333? -5300423 In base 9, what is 335 - -1051707? 1052143 In base 9, what is -2067626688 + 0? -2067626688 In base 14, what is 1 + -3bc5813? -3bc5812 In base 3, what is 1021210000201 + 1221? 1021210002122 In base 5, what is 1003442114 - 312? 1003441302 In base 14, what is 178d7c + 100? 17907c In base 16, what is -67690 + -a7d? -6810d In base 4, what is -2 - -312222222022? 312222222020 In base 4, what is -10120310333232 - -10? -10120310333222 In base 15, what is -b5 - -18454? 1838e In base 5, what is -44 + -32132123103? -32132123202 In base 13, what is -3 + -2947a4? -2947a7 In base 11, what is 2 - 4107283? -4107281 In base 10, what is -277127 + -423? -277550 In base 3, what is 1020122021 + -201120? 1012220201 In base 3, what is -12 - 11211111111221200? -11211111111221212 In base 7, what is 364326405 + -6? 364326366 In base 16, what is 5 - 815de9? -815de4 In base 5, what is -331 - -430440231? 430434400 In base 15, what is -201e + 1662? -8ac In base 11, what is 3623 - 21339? -18816 In base 16, what is -2e + -2c14f? -2c17d In base 4, what is 3030202 - -1001030? 10031232 In base 15, what is -3 - 1e0e23a? -1e0e23d In base 7, what is 163531612 + -12? 163531600 In base 11, what is -33a2 + -175a2? -1a994 In base 13, what is 955 + -687? 29b In base 11, what is -8093429 + -3? -8093431 In base 15, what is -8b05 - 456? -905b In base 5, what is 210124 + -21322? 133302 In base 2, what is -111111110110100101 - -1001011? -111111110101011010 In base 3, what is -12111212101220 - -22? -12111212101121 In base 5, what is -10 + -41104430043? -41104430103 In base 6, what is -4 + -2305555? -2310003 In base 4, what is -103031 - 3012212? -3121303 In base 13, what is 746a8 - -16? 746c1 In base 7, what is -2110623 - -1? -2110622 In base 11, what is 1614 - 6660? -5047 In base 4, what is 3020102023213 + 3? 3020102023222 In base 5, what is 1 - -234030024? 234030030 In base 4, what is 10 - 21103033021032? -21103033021022 In base 11, what is -2 + 2406274? 2406272 In base 16, what is -f4 - -1f1b? 1e27 In base 11, what is 429802 + -74? 429739 In base 5, what is 3244114434 + 122? 3244120111 In base 5, what is 1110 + -101400001? -101343341 In base 11, what is -76a9 + -32? -7730 In base 9, what is 2383 - -35812? 38305 In base 9, what is -3116173 - -10? -3116163 In base 9, what is 0 - -10576531? 10576531 In base 13, what is 7abc48a + 2? 7abc48c In base 15, what is -7bd504b - -1? -7bd504a In base 13, what is cb - 2221a? -2211c In base 9, what is -250 - 4717? -5067 In base 9, what is 823231238 - -4? 823231243 In base 12, what is b393 - -1a57? 1122a In base 6, what is -13 + -5000135? -5000152 In base 10, what is 5205 - 36284? -31079 In base 16, what is -5 - 172b113? -172b118 In base 9, what is 318741 - 7077? 311653 In base 6, what is 20522000 + 21? 20522021 In base 16, what is -5658ab + -5? -5658b0 In base 9, what is -3 + -13650567? -13650571 In base 2, what is -1001001100000111110001 - 10101100? -1001001100001010011101 In base 5, what is -1022401413 + -2113? -1022404031 In base 10, what is -27 + 24663? 24636 In base 11, what is 28733aa - -7? 2873406 In base 16, what is -149be + 288? -14736 In base 13, what is -1109 - 281a? -3926 In base 7, what is -1 + -503340140? -503340141 In base 11, what is 8 - -6615371? 6615379 In base 12, what is 577 - 183? 3b4 In base 10, what is -31584 - -622? -30962 In base 3, what is 10 - -12012100201210211? 12012100201210221 In base 3, what is 220122 - 10001202021? -10000211122 In base 5, what is -1 - -2231242420? 2231242414 In base 9, what is 0 - -1256810? 1256810 In base 11, what is -1 + aa45a1? aa45a0 In base 7, what is 3015651 - 1224? 3014424 In base 15, what is 4b + 4e370d? 4e3759 In base 2, what is -11111000110001110001 - 10011? -11111000110010000100 In base 7, what is -4 + -50224120? -50224124 In base 5, what is -1144410 - 3132? -1203042 In base 16, what is -ff5afe + 1? -ff5afd In base 9, what is -5 - 108608445? -108608451 In base 12, what is 53 + 11b5? 1248 In base 14, what is -207b91b + -5? -207b922 In base 11, what is 11 - -645024? 645035 In base 4, what is -23113033022 + -120? -23113033202 In base 12, what is 1a71 + -8368? -64b7 In base 7, what is 2551162 - 21? 2551141 In base 9, what is -506 + 1084351? 1083744 In base 6, what is -244343 + 230? -244113 In base 15, what is -4d + -26e9d? -26eeb In base 3, what is 10010220212202 + -22? 10010220212110 In base 13, what is -162231 + 236? -161cc8 In base 15, what is c5ddb0 - -d? c5ddbd In base 3, what is 211102221000100 - -2? 211102221000102 In base 14, what is -1 - -15452a5? 15452a4 In base 13, what is -51092 + -8c? -51151 In base 2, what is 10011011011000100110010 + -1? 10011011011000100110001 In base 11, what is -15a05 - -298? -15718 In base 10, what is 167 + 148523? 148690 In base 6, what is 14211213020 + -12? 14211213004 In base 6, what is -3 - 513055312? -513055315 In base 5, what is 204300 - -42324? 302124 In base 12, what is 93ba95b - 2? 93ba959 In base 3, what is 121012 + 122000022221? 122000221010 In base 16, what is 45e49 + -2eb? 45b5e In base 9, what is 3170 - 25158? -21878 In base 9, what is -527 + -216706? -217334 In base 16, what is -f + -394e0? -394ef In base 14, what is 81431807 + -5? 81431802 In base 5, what is 40104410002 + 0? 40104410002 In base 3, what is 210 + -1210000100020? -1210000022110 In base 11, what is -56 + -3738? -3793 In base 7, what is 42 - -2132314? 2132356 In base 10, what is -14 + 783800? 783786 In base 12, what is -299 - -21438? 2115b In base 12, what is -1058b8 - -37? -105881 In base 10, what is -3363817 + -11? -3363828 In base 11, what is -990 - -253a2? 24512 In base 16, what is fb2 - -148f? 2441 In base 4, what is -1 - 22211111022? -22211111023 In base 3, what is 1201 + 120112100102? 120112102010 In base 14, what is -3 + d7924d? d7924a In base 9, what is -5620 + -18354? -25074 In base 3, what is 10 - 2121122110011221? -2121122110011211 In base 13, what is -36 + -871236? -87126c In base 5, what is 222 + 11202142? 11202414 In base 16, what is 1253d591 + 3? 1253d594 In base 10, what is -13890019 + 4? -13890015 In base 13, what is -7c13 - -171a? -64c6 In base 10, what is 20517617 + -1? 20517616 In base 14, what is 2364 + 3716? 5a7a In base 3, what is -1011201211022022 + -20? -1011201211022112 In base 4, what is -2 - 230033311012? -230033311020 In base 8, what is 13050 - 2701? 10147 In base 7, what is 4 + -26654305? -26654301 In base 10, what is -791695 + -19? -791714 In base 9, what is 58886232 - 17? 58886214 In base 6, what is 34432141 + 2400? 34434541 In base 12, what is 6 - 745008? -745002 In base 11, what is -226 + -294460? -294686 In base 10, what is -8206 - -2082? -6124 In base 4, what is -3033 - -10332031? 10322332 In base 13, what is -127b0 + 61c8? -95b5 In base 5, what is 322301121401 - -2? 322301121403 In base 12, what is a70a - 6426? 42a4 In base 15, what is -19b21 - a0d? -1a62e In base 11, what is 905 + 342? 1147 In base 2, what is 101 + -10011100100001100111? -10011100100001100010 In base 13, what is 326 - 589b? -5575 In base 10, what is 9 + -4399159? -4399150 In base 13, what is 2424b51a + 4? 2424b521 In base 10, what is -11 - 982741? -982752 In base 4, what is -20122 + -2022020? -2102202 In base 7, what is -126306 + -4202? -133511 In base 7, what is 54 + -56043422? -56043335 In base 3, what is -12220 + 1011101220022? 1011101200102 In base 4, what is -211 + 1021300210133? 1021300203322 In base 6, what is 41 + 10014022? 10014103 In base 16, what is 2 - 10b7a? -10b78 In base 4, what is -121331003212 - 3? -121331003221 In base 2, what is 1011110011111000001011110 - -10111? 1011110011111000001110101 In base 7, what is 20134560 + -263? 20134264 In base 11, what is 188 + -141804? -141627 In base 2, what is 110100100110100101011 + -11000? 110100100110100010011 In base 2, what is 101 - 1111101111100111110100? -1111101111100111101111 In base 5, what is -2 -
{ "pile_set_name": "DM Mathematics" }