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202*u - 664. Determine s(16). 8 Let h(j) = -j**2 - 73*j + 10923. Give h(74). 45 Let l(b) = -2*b**3 - 124*b**2 - 1013*b + 1223. What is l(-11)? 24 Let j(w) = 4*w**2 + 1384*w - 9688. Determine j(7). 196 Let z(i) = -678910*i - 24440754. Give z(-36). 6 Let n(z) = -8*z**3 + 4*z**2 + 8*z - 2162. Determine n(0). -2162 Let q(a) = -28*a**2 - 2404*a - 112. Give q(-86). -456 Let o(t) = 13*t**2 - 822*t + 3139. Give o(59). -106 Let o(m) = 29*m**2 - 1316*m + 175. Determine o(45). -320 Let g(h) = 9*h**3 + 40*h**2 - 6604*h - 26480. What is g(-4)? 0 Let r(i) = -2*i**3 + 157*i**2 - 83*i + 359. Calculate r(78). -31 Let x(t) = -2*t**3 - 77*t**2 + 96*t + 462. Give x(3). 3 Let q(c) = -4447*c - 80430. Determine q(-18). -384 Let t(q) = -759*q + 155557. What is t(205)? -38 Let f(j) = -j**2 + 20277*j + 121651. Determine f(-6). -47 Let r(i) = -140*i**3 - i**2 - 9*i + 6. Calculate r(2). -1136 Let m(n) = 3856*n + 30586. Calculate m(-8). -262 Let y(q) = 2*q**2 - 8989*q - 592733. Give y(-65). 2 Let q(g) = -3*g**3 + 2111*g**2 - 34351*g + 671. Determine q(687). -16 Let m(p) = p**2 - 5073*p + 35541. What is m(7)? 79 Let r(t) = 8*t**2 + 1702*t - 8709. Give r(5). 1 Let n(g) = -14722*g - 117417. Give n(-8). 359 Let q(y) = -y**3 - 121*y**2 - 64*y - 7719. Calculate q(-121). 25 Let q(g) = -7*g**2 - 240*g - 87. Calculate q(-34). -19 Let p(l) = l**2 - 4733*l + 75398. Calculate p(16). -74 Let o(v) = 4*v**2 + 11139*v - 33434. Determine o(3). 19 Let v(y) = -134*y + 1933. Give v(16). -211 Let j(q) = -q**3 - 111*q**2 - 723*q + 545. Determine j(-104). 25 Let x(u) = -17*u**2 - 122*u - 1034. What is x(-14)? -2658 Let y(v) = 4*v**3 + 155*v**2 - 1819*v + 2581. Give y(8). -3 Let a(h) = 2*h**2 - 96*h - 2769. What is a(68)? -49 Let j(h) = 13278*h - 119513. What is j(9)? -11 Let y(h) = -h**3 - 533*h**2 + 3236*h + 1128. Calculate y(-539). 50 Let y(c) = -31*c**2 + 12077*c - 7198. Calculate y(389). -196 Let i(l) = -l**2 - 1756*l + 44164. What is i(25)? -361 Let f(m) = -40*m - 660. What is f(-25)? 340 Let i(h) = 4217*h + 25553. Determine i(-6). 251 Let n(p) = 2*p**3 - 25*p**2 - 129*p + 1421. Give n(7). -21 Let r(i) = 2*i**3 - 44*i**2 - 10*i - 836. Give r(23). -8 Let i(o) = -o**3 - 155*o**2 + 10222*o - 5719. Determine i(-205). 21 Let m(p) = 912*p**2 - 25*p - 2. Calculate m(1). 885 Let g(m) = 93*m**2 + 176260*m - 128921. Calculate g(-1896). 7 Let t(h) = -h**2 + 2530*h - 531153. Calculate t(231). -84 Let x(v) = 8*v**2 + 88*v - 31. What is x(-16)? 609 Let j(u) = -18888*u + 9236232. What is j(489)? 0 Let k(t) = -284804*t + 2563236. What is k(9)? 0 Let g(t) = 4725*t + 14146. What is g(-3)? -29 Let m(p) = -22*p**3 - 307*p**2 + 18*p + 91. Calculate m(-14). 35 Let p(y) = y**3 + 24*y**2 + 75*y + 1165. Determine p(-23). -31 Let f(j) = -2*j**3 - 99*j**2 - 68*j - 17087. Calculate f(-52). -31 Let l(o) = 180*o**2 + 1112*o + 227. Calculate l(-6). 35 Let s(r) = -r**3 + 6*r**2 + 49*r + 49. Calculate s(9). 247 Let u(f) = 28*f**3 - 8898*f**2 - 2049*f + 44839. Calculate u(318). 1 Let r(j) = -17*j**2 - 753*j - 2446. Give r(-37). 2142 Let p(t) = -19*t**3 + 13*t**2 + 17*t - 17. What is p(3)? -362 Let n(k) = -74150*k + 519047. Calculate n(7). -3 Let n(j) = j**3 - 269*j**2 + 1337*j - 3979. Determine n(264). 509 Let b(q) = 845*q - 3295. Calculate b(6). 1775 Let n(o) = 254*o + 57447. Calculate n(-196). 7663 Let l(m) = -272840*m - 3001237. Calculate l(-11). 3 Let v(h) = 145*h + 7776. Give v(-56). -344 Let r(o) = 2*o**2 + 187*o + 3909. Give r(-63). 66 Let b(o) = 9360*o + 439765. Give b(-47). -155 Let c(q) = 28*q**2 - 11125*q - 79235. Give c(-7). 12 Let s(f) = -917*f + 113622. Give s(124). -86 Let l(c) = -c**3 - 95*c**2 - 141*c + 6275. Calculate l(-93). 2090 Let n(q) = q**3 - 99*q**2 - 14849*q + 1263. Determine n(181). -4 Let u(y) = -2*y**2 - 788*y + 59601. Determine u(-459). -69 Let x(g) = -633*g + 4013. Determine x(7). -418 Let k(g) = 10147*g + 34749. Determine k(-3). 4308 Let c(b) = -b**3 - 5*b**2 + 507*b + 2926. Determine c(-22). 0 Let m(r) = 378*r**2 + 137*r - 286. Calculate m(2). 1500 Let v(p) = 19481*p + 155877. Calculate v(-8). 29 Let v(w) = -w**3 + 21*w**2 + 55*w - 1691. What is v(21)? -536 Let s(f) = -f**3 - 246*f**2 + 5319*f + 27. Give s(20). 7 Let j(o) = o**3 + 5560*o**2 + 297330*o + 337. Give j(-54). 13 Let x(t) = -t**3 - 3*t**2 + 2286*t + 15820. What is x(-7)? 14 Let f(k) = -1478*k - 1192. Calculate f(-1). 286 Let h(v) = -4*v**2 - 37*v + 1244. Calculate h(21). -1297 Let g(x) = -18*x + 4574. Determine g(255). -16 Let o(x) = x**3 - 193*x**2 - 919*x - 13935. Give o(198). 123 Let k(l) = -2334*l - 1206736. Determine k(-517). -58 Let d(i) = 396*i + 2792. What is d(-5)? 812 Let u(s) = 2*s**2 - 102412*s + 1433391. Give u(14). 15 Let f(m) = 16729*m + 16713. What is f(-1)? -16 Let b(g) = 2*g**2 + 127*g - 2874. Calculate b(-92). 2370 Let y(v) = -1747*v + 302182. Give y(173). -49 Let q(t) = 2014*t - 42042. Give q(21). 252 Let k(q) = -q**2 - 6766*q - 1217550. Give k(-185). -65 Let o(c) = -8*c**3 + 7*c**2 + 14*c - 19. Calculate o(-2). 45 Let k(j) = j**3 + 23*j**2 + 181*j + 521. What is k(-11)? -18 Let t(m) = -m**3 - 656*m**2 - 68*m - 44604. Determine t(-656). 4 Let y(k) = 464*k - 51501. Determine y(111). 3 Let r(s) = -s**2 - 245*s - 14731. Determine r(-106). 3 Let b(v) = 3*v**3 - 296*v**2 - 409*v + 761. What is b(100)? -139 Let p(d) = 6*d**2 - 1930*d + 117924. Determine p(82). 8 Let a(h) = 234*h**2 + 20*h - 30. Give a(1). 224 Let y(u) = -u**3 + 12*u**2 + 264004*u - 2904181. Determine y(11). -16 Let y(k) = 29003*k + 173946. Calculate y(-6). -72 Let x(d) = 21777*d + 43559. Give x(-2). 5 Let g(y) = -y**3 - 74*y**2 + 874*y - 1065. Determine g(9). 78 Let n(s) = 85516*s + 1966793. Give n(-23). -75 Let x(v) = 9*v**2 + 591*v - 1340. Calculate x(-68). 88 Let j(y) = y**3 - 235*y**2 + 4119*y - 3238. Determine j(216). 2 Let t(c) = -2*c**3 - 69*c**2 - 11*c - 1502. Determine t(-35). 108 Let j(y) = -y**3 + 16*y**2 + 41*y - 392. What is j(15)? 448 Let d(q) = -91*q**3 - 16*q**2 - 26*q + 6. What is d(-2)? 722 Let a(k) = -672*k + 16814. Calculate a(25). 14 Let x(s) = 296*s + 7254. Calculate x(-23). 446 Let r(g) = -63*g**2 + 13*g - 109. Give r(-5). -1749 Let z(l) = l**3 + 91*l**2 + 243*l + 13787. Determine z(-90). 17 Let l(g) = -g**3 - 46*g**2 - 41*g - 6439. What is l(-48)? 137 Let f(x) = -702*x - 6603. Determine f(-9). -285 Let l(s) = 3*s**2 + 683*s - 4781. Give l(7). 147 Let g(w) = 5*w**3 + 44*w**2 + 37*w + 193. What is g(-13)? -3837 Let o(x) = -x**3 - 67*x**2 - 107*x + 476. What is o(-65)? -1019 Let z(f) = -f**3 + f**2 + 3790*f + 18980. Calculate z(-5). 180 Let g(n) = -3625*n + 97929. Calculate g(27). 54 Let y(g) = 38*g**3 + 234*g**2 + 5*g + 6. Determine y(-6). 192 Let j(z) = -2237*z - 53879. Determine j(-24). -191 Let f(i) = i**2 - 4751*i - 1714564. Calculate f(-337). 92 Let j(u) = -18*u**2 - 740*u + 3204. Determine j(-45). 54 Let j(p) = -9352*p - 3404122. Give j(-364). 6 Let z(l) = 270*l + 5772. Determine z(-15). 1722 Let s(j) = -6*j**2 + 9*j + 397. Determine s(18). -1385 Let f(m) = -m**3 - 318*m**2 - 8903*m - 1719. Calculate f(-287). 3 Let f(g) = -10*g**2 + 5750*g + 437188. Determine f(-68). -52 Let l(q) = -3*q**3 - 18*q**2 - 27*q + 431. Calculate l(-5). 491 Let w(q) = -7832*q - 1300035. Calculate w(-166). 77 Let w(c) = 6*c**3 - 283*c - 2311. Determine w(-8). -3119 Let x(s) = -2*s**2 + 588*s + 71007. What is x(386)? -17 Let n(b) = 54*b - 3207. Calculate n(46). -723 Let y(f) = -2420*f + 141083. Give y(58). 723 Let a(k) = 1723591*k - 5170771. Determine a(3). 2 Let d(n) = -24*n**2 - 3454*n - 13480. Calculate d(-4). -48 Let w(d) = 52*d**3 - 13*d**2 + 37*d - 11. What is w(2)? 427 Let u(i) = 11*i**3 + 114*i**2 - 560*i - 5557. Calculate u(-10). 443 Let r(h) = -h**3 + 47*h**2 + 3573*h + 3071. Calculate r(88). -9 Let r(w) = -4142*w - 12423. Calculate r(-3). 3 Let d(r) = -r**3 + 29*r**2 + 18*r + 501. Determine d(29). 1023 Let i(r) = r**2 - 1199*r - 87471. What is i(1268)? 21 Let q(t) = -24*t**2 - 193*t + 149. What is q(-8)? 157 Let j(p) = -819*p - 54011. What is j(-65)? -776 Let u(d) = 3*d**2 - 7088*d - 1679360. Calculate u(-217). 3 Let z(t) = 57*t**3 - 3759*t**2 - 315*t + 7717. Determine z(66). -5 Let k(q) = -68378*q - 341899. Give k(-5). -9 Let q(y) = -7*y**2 - 83*y - 99. What is q(-21)? -1443 Let c(a) = -388*a**2 + 207*a + 2. Determine c(-3). -411
{ "pile_set_name": "DM Mathematics" }
10 = 0. What is the derivative of -2*y - g + 0 + 3*y wrt y? 1 Suppose h - 15 = -2*h. Suppose v + 18 = -h*z, -5*v + 4*z - 2*z = -18. Find the third derivative of s**3 + s**3 - v*s**2 + 0*s**2 + 4*s**2 wrt s. 12 Let h(g) be the first derivative of -2*g**5/5 + 12*g + 7. Differentiate h(v) with respect to v. -8*v**3 Let d(r) be the third derivative of -5*r**9/126 - r**5/30 - 2*r**4/3 + 11*r**2. What is the third derivative of d(u) wrt u? -2400*u**3 Let o be (-7)/2*(-4)/2. Suppose o + 23 = 5*i + 3*w, -3*i = 4*w - 29. Differentiate 2*r - 1 - i*r + 2*r wrt r. 1 Let w(z) be the first derivative of z**3 + 4*z**2 + 3. Let q(c) = 2*c**2 + 9*c. Let u(n) = -6*q(n) + 7*w(n). Find the second derivative of u(p) wrt p. 18 Let u be -1*(-3)/6*-6. Let j(z) = z + 5. Let a be j(u). Find the second derivative of 18 - 18 - a*g - 2*g**3 wrt g. -12*g Let f(d) be the third derivative of d**7/42 + 11*d**5/20 - 35*d**2. What is the third derivative of f(h) wrt h? 120*h Let u(v) = -34*v**4 + 6*v**3 - 19*v**2. Let t(z) = -69*z**4 + 13*z**3 - 38*z**2. Let k(c) = 6*t(c) - 13*u(c). Find the third derivative of k(n) wrt n. 672*n Let o(q) = -10*q**2 + 2*q + 3. Let i(m) = -31*m**2 + 7*m + 10. Let n(t) = -2*i(t) + 7*o(t). What is the derivative of n(g) wrt g? -16*g Let l be 2 + (0 - 6/3). Find the second derivative of 0*d + 4*d**2 + l*d - d**2 + 3*d wrt d. 6 Suppose 0 = l - 0*l - 1. What is the first derivative of -3*d**3 - d**2 + 6*d**3 + d**2 + l wrt d? 9*d**2 Let s(x) be the first derivative of x**6/40 + x**3/3 - x**2/2 - 6. Let w(y) be the second derivative of s(y). Find the first derivative of w(t) wrt t. 9*t**2 Let d = -3 + 6. Suppose -m + 8 = d*m. Find the second derivative of m*s - 2*s - 3*s**2 + 3*s wrt s. -6 Let f(j) be the first derivative of 0*j**4 + 0*j**3 + 0*j - 2*j**2 - 7/6*j**6 - 9 + 0*j**5. What is the second derivative of f(p) wrt p? -140*p**3 Let f(g) = -g**3 - 5*g**2 + 9. Let h(m) = -m**3 - 3*m**2 + 5. Let u(r) = 6*f(r) - 10*h(r). What is the first derivative of u(a) wrt a? 12*a**2 Suppose -b - 2*b = -9. Let y = -1 + b. What is the second derivative of -p**2 + 3*p**2 - 5*p**2 + 0*p**2 + y*p wrt p? -6 Suppose -3*d + 68 + 22 = 0. What is the third derivative of -3*o**2 + d - 30 + 2*o**6 wrt o? 240*o**3 Let a(o) be the second derivative of 11*o**5/20 - 21*o**2/2 - 9*o. Differentiate a(z) with respect to z. 33*z**2 Let s(u) = -540*u**4 + 55*u**2 + 540*u - 55. Let z(n) = -20*n**4 + 2*n**2 + 20*n - 2. Let j(q) = 2*s(q) - 55*z(q). What is the second derivative of j(x) wrt x? 240*x**2 Let m = 190 - 190. Let a(q) be the first derivative of m*q**3 + 1/4*q**4 + 0*q**2 + 3*q + 2. Find the first derivative of a(v) wrt v. 3*v**2 Let t(a) = -a**3 + 4*a**2 - 3*a. Let s be t(2). Let c(o) = o - 2. Let y be c(5). What is the third derivative of -4*b**6 + y*b**2 - b**s + 3*b**6 wrt b? -120*b**3 Let n = 21 - 19. Find the third derivative of 4*r**5 - r**n + 0*r**2 - 3*r**2 wrt r. 240*r**2 Let v(p) be the first derivative of 3*p**4/2 + 13*p**2/2 - 9. Find the second derivative of v(u) wrt u. 36*u Let z be 0/(-10)*2/(-2). Let y(s) be the first derivative of 0*s + 0*s**2 + z*s**4 - 2 - 2/3*s**3 - 2/5*s**5. What is the third derivative of y(v) wrt v? -48*v Differentiate -22 - 6*l**3 + 18*l**3 - 6*l**3 with respect to l. 18*l**2 Let n(t) be the second derivative of -t**10/1260 - t**6/90 - t**3/6 + 3*t. Let b(i) be the second derivative of n(i). Find the third derivative of b(d) wrt d. -480*d**3 Let x(c) = c**3 + 6*c**2 - c. Let s(i) = i**2 + 8*i + 1. Let t be s(-7). Let m be x(t). Find the third derivative of -3*q**m + 4*q**6 - 2*q**6 + 3*q**2 wrt q. -120*q**3 Let q(t) be the third derivative of t**7/840 + t**6/240 - t**4/8 + t**2. Let k(a) be the second derivative of q(a). What is the second derivative of k(x) wrt x? 6 Differentiate 4*w**4 + 32 + 4*w**4 - 29*w**4 - 19*w**4 with respect to w. -160*w**3 Let s(w) = w**3 + 7*w**2 + 4. Let c be s(-7). Find the second derivative of t + 10*t**c - 7*t**4 - 4*t wrt t. 36*t**2 Let c(a) be the second derivative of -a**9/7560 - a**5/30 - 5*a**4/12 - 6*a. Let m(p) be the third derivative of c(p). Differentiate m(d) wrt d. -8*d**3 Suppose 5*z - 20 = 2*q, -5*z = -6*q + 3*q - 25. What is the third derivative of 3*f**2 + 4*f**2 - z*f**2 - 2*f**4 wrt f? -48*f Let j(h) = 25*h - 9. Let u(v) = -25*v + 9. Let a(r) = -4*j(r) - 3*u(r). Let k(y) = 13*y - 4. Let z(m) = 3*a(m) + 5*k(m). Differentiate z(n) wrt n. -10 Let b(j) be the first derivative of j**7/70 + j**4/8 - j**2 + 3. Let t(k) be the second derivative of b(k). What is the second derivative of t(d) wrt d? 36*d**2 Let d(w) be the second derivative of 2*w**5/5 + w**4 - 11*w. What is the third derivative of d(j) wrt j? 48 Let p(o) be the second derivative of 0 + 0*o**7 + 0*o**2 + 0*o**6 - 1/6*o**4 + 3*o + 0*o**3 + 0*o**5 - 3/56*o**8. What is the third derivative of p(y) wrt y? -360*y**3 Let o(t) = -8*t**2 + 157*t + 218. Let s(w) = -3*w**2 + 53*w + 73. Let n(m) = -4*o(m) + 11*s(m). Differentiate n(b) with respect to b. -2*b - 45 Let k(r) = -13*r + 1. Let x(t) = 1. Let c(b) = -k(b) - x(b). Let o(z) = 19*z - 3. Let v(p) = -8*c(p) + 5*o(p). Differentiate v(f) with respect to f. -9 Let j(w) be the third derivative of -w**10/2520 - w**6/90 + w**3/6 + 2*w**2. Let s(n) be the first derivative of j(n). Find the third derivative of s(r) wrt r. -240*r**3 What is the third derivative of -4*n**2 - 14*n**2 - 41*n**3 + 31*n**3 wrt n? -60 Let y(t) be the first derivative of t**4/4 + t**3/3 + 10. Find the third derivative of y(d) wrt d. 6 Find the second derivative of -w + 5*w + 0*w + 3*w**5 - 2*w**5 wrt w. 20*w**3 Let b(l) be the first derivative of -l**2 + 26*l - 27. Differentiate b(c) with respect to c. -2 Suppose -1 - 5 = -3*a. Differentiate -3 + z**4 + a + 3 - 1 with respect to z. 4*z**3 Let g(k) be the second derivative of -k**5/60 + k**3/2 - 3*k**2/2 + k. Let a(n) be the first derivative of g(n). Differentiate a(j) wrt j. -2*j Find the second derivative of -12*s - 41*s - 2*s**4 - 7*s**5 - 6*s**4 + 9*s**5 wrt s. 40*s**3 - 96*s**2 Let i(c) be the first derivative of 0*c**5 + 0*c**6 + 0*c + 2/7*c**7 + 0*c**4 + 2 + 0*c**2 + 1/3*c**3. Find the third derivative of i(v) wrt v. 240*v**3 Let p(w) be the second derivative of 1/30*w**6 - 1/2*w**2 - 2*w + 0*w**3 + 0 + 0*w**5 + 0*w**4. Find the first derivative of p(y) wrt y. 4*y**3 Find the first derivative of -6*j - 2*j - j + 0*j + 2 wrt j. -9 Let o = 6 - 4. Find the third derivative of -a**2 - 2*a**o - 2*a**5 + a**5 wrt a. -60*a**2 Let u be 8/(-4)*(-6)/4. Suppose -5*z + 25 = -5*f, u*f + 11 = -5*z + 6*z. Find the first derivative of 0*k**3 + 0 - 2*k**3 + z wrt k. -6*k**2 Differentiate -2 - 1 - 2 - 2*z**4 - 14*z**4 wrt z. -64*z**3 Let c(w) be the third derivative of 5*w**9/126 - 29*w**5/60 - 6*w**2. What is the third derivative of c(v) wrt v? 2400*v**3 Let q(g) = 1. Let l = -2 + 6. Let r(t) = 3*t - 6. Let p(w) = w - 2. Let z(i) = 8*p(i) - 3*r(i). Let x(k) = l*q(k) - 3*z(k). Differentiate x(c) wrt c. 3 Let l(w) be the second derivative of -41*w**5/20 + w**4 - 17*w. Find the third derivative of l(g) wrt g. -246 Let p(b) be the first derivative of -3*b**5/20 + 3*b**2/2 + 3*b - 2. Let t(r) be the first derivative of p(r). What is the derivative of t(d) wrt d? -9*d**2 Suppose -2*u + 5*u - 9 = 0. What is the first derivative of -u + 4*w - 4*w + 3*w wrt w? 3 Let l(z) = 4*z**4 - 3*z**3 + 6*z + 3. Let m(f) = f**4 + f**3 - f - 1. Let k(w) = l(w) + 3*m(w). What is the second derivative of k(n) wrt n? 84*n**2 Let b(a) be the second derivative of 0 + 0*a**3 + 1/6*a**6 - 3/2*a**2 - 5*a + 0*a**5 + 0*a**4. What is the first derivative of b(x) wrt x? 20*x**3 Differentiate 4 - x**3 - 4*x**3 + 0*x**3 + 2 wrt x. -15*x**2 Let b(s) = s**3 - 2*s**2 + 3. Let p be b(3). Let j = p - 7. Find the second derivative of -2*h + 11*h**2 - 11*h**2 - 2*h**j wrt h. -40*h**3 Let y(d) be the third derivative of -4*d**7/35 - 17*d**3/3 - d**2. Differentiate y(x) wrt x. -96*x**3 Let v(m) be the third derivative of 2*m**5/5 - m**4/12 - 8*m**3 + 21*m**2 + m. Find the first derivative of v(t) wrt t. 48*t - 2 Differentiate 2 + 5*n + 19 + 11*n**4 - 7*n**4 wrt n. 16*n**3 + 5 Let y(r) = 2*r**2 - 5. Let g(j) = 1. Let t(q) = q + 5. Let m be t(-6). Let i be ((-2)/(-1) - 5) + m. Let o(v) = i*g(v) - y(v). Differentiate o(
{ "pile_set_name": "DM Mathematics" }
y) = y**3 + 9*y**2 + 10*y + 15. Determine s(-8). -1 Let j(i) = 34*i**2 - 202*i - 7. What is j(6)? 5 Let f(o) = -o**2 - 2*o + 15. Give f(6). -33 Let b(j) = -j**3 - 12*j**2 + 13. What is b(-12)? 13 Let k(v) = v**3 + 6*v**2 + 3*v + 9. Give k(-6). -9 Let u(b) = -17*b**3 - b**2 - 3*b + 5. Calculate u(2). -141 Let w(a) = -a**3 + 6*a**2 + a + 3. Calculate w(4). 39 Let w(v) = v**3 - 5*v**2 - 25*v + 14. Determine w(8). 6 Let m(u) = -2*u**2 - 7*u + 11. Give m(-10). -119 Let d(i) = -34*i**2 + 168*i + 5. What is d(5)? -5 Let c(g) = g**3 - 10*g**2 - 3*g - 3. Determine c(10). -33 Let s(g) = g**2 - 11*g + 10. Give s(8). -14 Let x(h) = -h**2 + 23*h + 71. Calculate x(26). -7 Let o(h) = -h**3 + 2*h**2 + 3*h + 1. What is o(-1)? 1 Let o(x) = -4*x - 222. Give o(-57). 6 Let a(w) = 2*w**3 + 4*w**2 - 5*w - 1. Give a(-3). -4 Let f(y) = -16*y + 13. What is f(1)? -3 Let t(y) = y**2 + 18*y + 2. Determine t(-16). -30 Let r(g) = -2*g - 44. Give r(-22). 0 Let j(r) = 5*r**3 - 41*r**2 + 11*r - 17. Give j(8). 7 Let y(x) = -x**3 - 11*x**2 - 3. Determine y(-11). -3 Let l(a) = -a**3 - 8*a**2 - 7*a + 5. Determine l(-6). -25 Let x(r) = -r**3 + 4*r**2 + r - 36. Determine x(4). -32 Let u(m) = m**2 + 4*m - 7. What is u(2)? 5 Let b(l) = -28*l + 8. Give b(-5). 148 Let x(n) = n**3 - 10*n**2 - 11*n + 4. What is x(11)? 4 Let x(y) = 37*y. Calculate x(1). 37 Let u(o) = 9*o - 92. What is u(10)? -2 Let x(l) = 2*l**2 - 2*l - 4. Calculate x(-3). 20 Let h(o) = -o**3 + 8*o**2 - 10*o + 9. Give h(7). -12 Let c(g) = 2*g + 15. Determine c(-4). 7 Let d(c) = 29*c**2 - 2*c - 1. Calculate d(-1). 30 Let o(d) = 3*d**3 + 5*d**2 + 4*d + 3. What is o(-3)? -45 Let d(a) = a**3 - 11*a**2 - 13*a + 9. What is d(12)? -3 Let z(g) = g**2 - 7*g + 5. Determine z(5). -5 Let k(d) = d**3 - 5*d**2 - d + 4. Determine k(4). -16 Let n(a) = -a**3 - 19*a**2 - 5. What is n(-19)? -5 Let v(p) = p**3 - 5*p**2 - 2*p - 3. Determine v(4). -27 Let b(a) = -41*a + 323. Calculate b(8). -5 Let i(t) = -t**2 - 4*t - 8. Give i(-4). -8 Let m(q) = 8*q - 12. Determine m(2). 4 Let x(d) = d**3 - 3*d**2 - 3*d. Calculate x(4). 4 Let o(f) = 6*f + 12. What is o(-14)? -72 Let y(a) = 2*a + 6. Calculate y(-10). -14 Let j(f) = f**3 + 7*f**2 + f + 4. Determine j(-7). -3 Let s(i) = -6*i - 5. Calculate s(1). -11 Let d(l) = -l**2 - 5*l - 6. Calculate d(-6). -12 Let q(c) = -c + 85. Give q(-12). 97 Let b(r) = r**3 + r**2 + 3*r + 8. Determine b(-2). -2 Let c(v) = 43*v + 171. Give c(-4). -1 Let c(k) = -k**3 - 5*k**2 + 5*k + 1. Determine c(-6). 7 Let c(m) = 2*m**2 + 6*m + 7. Determine c(-3). 7 Let j(r) = 4*r**3 + 2*r + 1. Give j(-1). -5 Let i(x) = -5*x - 3. What is i(-3)? 12 Let u(t) = t**3 - 6*t**2 + 2*t - 6. What is u(3)? -27 Let j(t) = -4*t**2 - 8*t - 7. Calculate j(-7). -147 Let b(w) = -83*w + 7. Calculate b(-2). 173 Let z(u) = u**2 + 9*u - 6. Determine z(-10). 4 Let h(k) = k**3 - 7*k**2 + 6*k - 5. Calculate h(3). -23 Let x(v) = 5*v - 54. Give x(10). -4 Let n(k) = 5*k**2 - 15*k + 7. Determine n(3). 7 Let o(j) = -2*j**2 + 53*j - 72. Calculate o(25). 3 Let s(j) = 7*j - 342. What is s(48)? -6 Let j(g) = -g**3 + 4*g**2 + 9*g + 8. Determine j(6). -10 Let n(w) = -75*w - 308. Calculate n(-4). -8 Let c(z) = 15*z - 54. What is c(3)? -9 Let j(i) = -2*i**3 - 2*i**2 - 5*i + 8. Calculate j(1). -1 Let c(f) = f**3 + f**2 - 8*f + 2. What is c(2)? -2 Let i(p) = -p**3 - 3*p**2 + 3*p. Calculate i(-5). 35 Let c(n) = n**2 - 19*n + 44. What is c(17)? 10 Let r(d) = -9*d + 4. Determine r(-5). 49 Let q(a) = -a**2 + 12*a + 7. Determine q(13). -6 Let p(u) = -u**3 - 2*u**2 + 3*u - 4. Calculate p(-3). -4 Let p(v) = -4*v + 117. Calculate p(33). -15 Let p(v) = 10*v + 9. What is p(-2)? -11 Let l(o) = 2*o**3 + 6*o**2 + o - 11. Calculate l(-2). -5 Let i(u) = 6*u**2 - 2. What is i(-1)? 4 Let w(u) = -3*u**2 - 6*u + 11. What is w(-5)? -34 Let u(c) = -c**3 - 4*c**2 - 3*c - 4. Determine u(-3). -4 Let b(q) = -q**3 + 4*q**2 - 2*q. Determine b(4). -8 Let i(o) = o**2 - 4*o - 3. Determine i(4). -3 Let a(d) = d**2 + 8*d - 15. Give a(-10). 5 Let k(m) = -m**3 - 5*m**2 + 9*m - 29. Give k(-7). 6 Let t(y) = -y**2 + 19*y - 2. Determine t(19). -2 Let y(o) = 4*o**2 - 32*o - 8. Give y(8). -8 Let j(i) = -52*i**3 + 1. What is j(1)? -51 Let d(p) = 6*p + 47. What is d(-6)? 11 Let k(o) = -o + 1. Calculate k(1). 0 Let t(k) = 5*k**2 - 3*k - 14. What is t(-2)? 12 Let x(h) = -2*h**3 - 16*h**2 - 3*h - 12. What is x(-8)? 12 Let k(d) = d**2 + 11*d + 7. What is k(-12)? 19 Let s(b) = -b**3 + b**2 + 2*b - 6. Determine s(4). -46 Let m(p) = -5*p - 17. What is m(-11)? 38 Let j(t) = -t - 5. What is j(2)? -7 Let a(d) = -d**2 - 9*d - 6. Determine a(-8). 2 Let j(u) = -5*u - 9. Give j(-10). 41 Let p(n) = -6*n + 7. Determine p(3). -11 Let j(n) = n**3 + 9*n**2 + 8*n - 4. What is j(-8)? -4 Let g(k) = k**3 + k**2 + k + 19. Determine g(0). 19 Let w(z) = 4*z**2 + 3*z - 2. What is w(2)? 20 Let p(q) = q**2 - 6*q + 1. Calculate p(4). -7 Let p(t) = -2*t**3 - 2*t**2 - t + 2. Give p(-3). 41 Let v(x) = 9*x + 4. Calculate v(-3). -23 Let n(t) = -16*t**2. Calculate n(1). -16 Let q(j) = j**3 - 11*j**2 - 18*j + 62. Determine q(12). -10 Let o(n) = -n**2 - 6*n - 7. Give o(-4). 1 Let c(s) = -7*s + 76. Calculate c(10). 6 Let a(k) = 6*k**3 + k**2 - 3*k + 1. Determine a(1). 5 Let t(x) = 24*x**2 - 2*x + 1. Give t(1). 23 Let u(a) = -137*a + 1367. Give u(10). -3 Let r(h) = h**3 + h**2 + h + 37. What is r(0)? 37 Let k(t) = t**3. Give k(1). 1 Let s(m) = -4*m**3 + 7*m**2 - 2*m. Give s(4). -152 Let u(x) = -2*x**2 + 15*x - 2. Give u(7). 5 Let n(y) = -y**2 + 9*y - 15. Give n(6). 3 Let p(t) = t**3 - 23*t**2 - 48*t - 57. Give p(25). -7 Let x(t) = -t**3 + 11*t**2 - 7*t - 8. Calculate x(10). 22 Let y(b) = b**3 + 11*b**2 - 1. Give y(-11). -1 Let d(z) = -27*z + 2. What is d(-1)? 29 Let x(p) = -p - 2. Calculate x(-8). 6 Let m(t) = -15*t**2 + 496*t - 32. Determine m(33). 1 Let y(r) = -r**2 - 3*r + 1. What is y(5)? -39 Let x(k) = 36*k + 61. Calculate x(-2). -11 Let b(u) = -u**3 + 6*u**2 + 5*u + 6. Give b(6). 36 Let l(t) = t**2 + 1. Give l(-2). 5 Let j(k) = k**3 + 4*k**2 - 2*k + 8. Give j(-4). 16 Let j(r) = 17*r - 134. What is j(8)? 2 Let s(p) = -p**2 + 5*p - 21. Give s(0). -21 Let h(y) = 2*y**2 - 26*y + 27. Calculate h(12). 3 Let c(l) = -l**2 - 32*l - 41. What is c(-31)? -10 Let j(w) = 2*w**2 + 14*w + 3. Determine j(-10). 63 Let m(l) = l**3 + 8*l**2 - 6*l + 3. Determine m(-9). -24 Let u(b) = 107*b**2 + 2*b + 2. Determine u(-1). 107 Let j(n) = -n**3 - 2*n**2 + 3*n + 1. Give j(-3). 1 Let y(h) = h**3 - 18*h**2 + 33*h - 23. Calculate y(16). -7 Let o(g) = -g**3 - 2*g**2 + 3*g. Calculate o(-3). 0 Let y(o) = -10*o**3 + o**2 - 3*o + 2. Calculate y(1). -10 Let v(p) = 2*p**2 + 28*p - 4. Give v(-14). -4 Let i(v) = 2*v - 69. Calculate i(0). -69 Let v(k) = -k**3 - 5*k**2 - k + 2. Determine v(-4). -10 Let b(s) = -s**3 - s + 29. Give b(0). 29 Let z(t) = t**3 - 11*t**2 - 28*t + 27. Determine z(13). 1 Let d(j) = -7*j**2 - 3*j + 1. Calculate d(3). -71 Let j(y) = -y + 15. Give j(16). -1 Let l(b) = b**2 + 4*b + 3. What is l(-2)? -1 Let o(p) = 2*p + 8. What is o(-7)? -6 Let l(v) = v + 3. Give l(2). 5 Let f(o) = o**2 - 9*o - 40. What is f(12)? -4 Let j(v) = -7*v**3 + 9*v - 1. What is j(3)? -163 Let i(u) = -3*u + 66. Give i(24). -6 Let s(c) = 40*c + 465. Calculate s(-11). 25 Let w(v) = -v**3 + 7*v**2 - 8*v + 6. Give w(6). -6 Let r(o) = -4*o. Give r(3). -12 Let a(j) = 11*j**3 + 2*j**2 + j + 1. Calculate a(-1). -9 Let i(r) = r**3 + 3*r**2 - 2*r + 3. Give i(2). 19 Let v(k) = -k**2 + 13*k + 12. What is v(14)? -2 Let f(i) = -i**3 + 20*i**2 + 21*i. What is f(21)? 0 Let u(d) = -d**3 - 4*d**2 + 9*d + 5. Give u(-6). 23 Let h(t) = -5*t - 164. Calculate h(-34). 6 Let l(y) = 28*y + 200. Determine l(-7). 4 Let z(v) = -6*v + 17. Calculate z(3). -1 Let f(r) = 2*r**2 + r + 2. Calculate f(0). 2 Let y(c) = 117*c**3 - 3*c + 2. What is y(1)? 116 Let i(m) = -3*m. Determine i(4). -12 Let x(m) = 2*m**2 + 111*m + 49. Determine x(-55). -6 Let s(i) = 5*i + 63. Calculate s(-9). 18 Let m(d) = d**2 - d + 1. What is m(0)? 1 Let o(a) = 24*a + 10. Determine o(-1). -14 Let n(j) = -j**2 - 7*j - 4. Give n(-5). 6 Let f(r) = -r**3 + 10*r**2 - 9*r + 1. Calculate f(9). 1 Let i(q) = 2*q**3 + 32*q**2 + 109*q - 10. Calculate i(-11). 1 Let l(c) = c**2 + c - 5. Determine l(-4). 7 Let m(x) = -x + 7. Give m(4). 3 Let d(s) = s**2 - 14*s - 14
{ "pile_set_name": "DM Mathematics" }
spect to t. 4*t**3 Let b(g) be the third derivative of g**5/60 - g**4/2 - 15*g**2. What is the second derivative of b(k) wrt k? 2 Let l(v) = 7*v**3 + 3*v**2 - 5*v. Let j(m) = 8*m**3 + 4*m**2 - 6*m. Let w(b) = -5*j(b) + 6*l(b). Find the third derivative of w(f) wrt f. 12 Let z(d) be the second derivative of d**6/30 + d**4/24 + 3*d**2/2 - 2*d. Let u(r) be the first derivative of z(r). Find the second derivative of u(f) wrt f. 24*f Let p(j) = -j**4 + j**2 - j - 1. Let s(h) = 26*h**5 + 2*h**4 - 2*h**2 - 23*h + 2. Let q(z) = 2*p(z) + s(z). Find the second derivative of q(i) wrt i. 520*i**3 Suppose -3*s + 3 = -6. Suppose -2 = -s*j + 7. Differentiate -1 + 3*r**3 - 1 + j - r**3 wrt r. 6*r**2 Suppose -h - 5*k - 8 - 14 = 0, -5*h = 3*k. What is the second derivative of -2*c - 3*c**5 - h*c + 0*c**5 + c wrt c? -60*c**3 Let c = -35 - -35. Let b(l) be the first derivative of -2/3*l**3 + 1 - 3/5*l**5 + 0*l**4 + c*l + 0*l**2. Find the third derivative of b(p) wrt p. -72*p Let s be (-20)/(-5)*2/4. Find the third derivative of 4*x**2 + 0*x**s - 11*x**3 + 7*x**3 wrt x. -24 Let q(a) = -23*a**3 + 3*a**2 + 11*a + 4. Let u(l) = -l**3 - l**2 - 1. Let t(m) = q(m) + 4*u(m). Find the third derivative of t(n) wrt n. -162 Let c(m) be the first derivative of 0*m**5 - 1/2*m**6 + 0*m**2 - 5/3*m**3 + 0*m**4 + 0*m + 4. Find the third derivative of c(v) wrt v. -180*v**2 Let s be (2/8)/((-2)/(-8)). Let v(d) = -1. Let a(b) = -3*b**2 + 4. Let c(i) = s*a(i) + 3*v(i). Differentiate c(x) wrt x. -6*x Let p(n) = 6*n**2 - 4*n**2 + 0*n**2 + 1 + 5*n. Let h be 456/(-88) + 4/22. Let b(j) = -j**2 - 2*j. Let l(t) = h*b(t) - 2*p(t). Differentiate l(a) wrt a. 2*a Suppose 0 = 2*w + 8, 2*y + 3*w + 9 = -y. Let s be -6*(6/9 - y). Find the third derivative of -8 + 8 + s*r**4 - 2*r**2 wrt r. 48*r Let c(s) = -4*s - 3 + 0 + 6*s - s. Let l be c(5). Find the second derivative of f**4 - l*f - f**4 + 3*f**4 wrt f. 36*f**2 Let f(a) be the first derivative of -4*a**6/3 - 4*a**3/3 + 3. What is the third derivative of f(d) wrt d? -480*d**2 Let d(x) be the first derivative of 9*x**5/5 - 8*x**2 - 12. Find the second derivative of d(v) wrt v. 108*v**2 Let v(t) = 5*t**3 + t - 1. Let h be v(1). Let k = 2 + 0. What is the third derivative of 2*a**2 - 2*a**h + 4*a**5 + 0*a**k wrt a? 120*a**2 Let y(i) be the third derivative of i**6/60 + i**3/6 - 2*i**2. Differentiate y(w) wrt w. 6*w**2 Let k(q) be the third derivative of 0*q + 0*q**3 + 3/40*q**6 - 9*q**2 + 1/12*q**5 + 0*q**4 + 0. Find the third derivative of k(n) wrt n. 54 Let d be 3/(-15) - 2/(-10). Find the second derivative of -40*v - 3*v**3 + d*v**3 + 45*v wrt v. -18*v Suppose 7 = 3*s - 4*s. Let a be (-12)/s + 2/7. Find the third derivative of a*f**2 - f**6 - 2*f**6 - 2*f**2 - 3*f**2 wrt f. -360*f**3 Let x(j) be the second derivative of -j**9/3024 + j**6/120 - j**3/6 + j. Let v(n) be the second derivative of x(n). Find the third derivative of v(f) wrt f. -60*f**2 Let b(w) = -3*w**2 + 2*w. Let a(f) be the first derivative of 4*f**3/3 - 3*f**2/2 + f + 4. Let d(n) = 2*a(n) + 3*b(n). Find the first derivative of d(g) wrt g. -2*g Let p(y) = 6*y**4 + 2*y**3 - 2*y - 6. Let q(i) = 6 - 2 + i**4 + i**3 - 5 - i. Let z(m) = p(m) - 2*q(m). Find the first derivative of z(o) wrt o. 16*o**3 Let o(a) be the second derivative of -47*a**4/12 - 9*a**2 + a. Find the first derivative of o(u) wrt u. -94*u Let v(d) = -61*d**5 - 11*d**3 - 45*d. Let y(p) = -31*p**5 - 6*p**3 - 23*p. Let z(r) = -6*v(r) + 11*y(r). What is the second derivative of z(l) wrt l? 500*l**3 Let x(l) = l**2 - 3*l + 4. Let s be x(3). Differentiate 0*c**3 + c**3 - 3 + 4 + s*c**3 with respect to c. 15*c**2 Let p(b) = -2*b**3 + 3*b**2 + 4. Let c = 13 + -16. Let z(w) = -2*w**3 + 3*w**2 + 3. Let d(k) = c*p(k) + 4*z(k). What is the third derivative of d(j) wrt j? -12 What is the third derivative of -17*a**5 - 2*a**2 + 2*a + 20*a**2 - 2*a wrt a? -1020*a**2 Let u(k) be the third derivative of -13*k**5/60 + 13*k**3/6 + 6*k**2. Differentiate u(x) wrt x. -26*x Let q(t) be the first derivative of t**4/24 + t**3/3 + t**2 - 3. Let k(s) be the second derivative of q(s). What is the derivative of k(x) wrt x? 1 Let p(b) = -2*b**3 + 2*b**2 - 1. Let h be p(-1). What is the third derivative of -u**2 + h*u**2 + 3*u**6 - u**2 wrt u? 360*u**3 Find the third derivative of 75*c**5 - 14*c**2 - 25*c**5 + 12*c**5 wrt c. 3720*c**2 Let u(h) = -59*h**2 - 83. Let m(r) = -29*r**2 - 42. Let s(f) = -11*m(f) + 6*u(f). What is the derivative of s(q) wrt q? -70*q Suppose o = 2*s - 4, 3*s - 5*o - 9 = -2*o. What is the first derivative of 8*a**3 - 5*a**3 + 0 - s wrt a? 9*a**2 Let b(h) = -h + 5. Let z be b(0). What is the second derivative of 5*s + 2*s**3 - z*s - 3*s wrt s? 12*s Let h(u) be the third derivative of -u**9/1008 + u**6/60 + u**3/2 - 4*u**2. Let x(g) be the first derivative of h(g). Find the third derivative of x(s) wrt s. -180*s**2 Let g(r) be the third derivative of 0 + 0*r**4 + 2*r**2 + 0*r + 1/30*r**5 - 1/2*r**3. What is the first derivative of g(j) wrt j? 4*j Let r(l) be the third derivative of 11*l**7/42 + l**4/8 - l**3/2 - 3*l**2 - 5. What is the second derivative of r(q) wrt q? 660*q**2 Let m = -2 + 6. Find the second derivative of 4*n + 0*n + 4*n**4 - 6*n**m wrt n. -24*n**2 Let t(f) = -f**4 - f**3 + f**2 + 1. Let p(c) = 18*c**4 + c**3 - c**2 + 13*c - 1. Let g(l) = -p(l) - t(l). Find the second derivative of g(r) wrt r. -204*r**2 Suppose -4*m = -22 - 6. What is the third derivative of -3*u**5 + m*u**5 - 4*u**2 - u**2 wrt u? 240*u**2 Let c(w) = w + 4 + 0 + 3. Let b be c(-4). Find the second derivative of -3 - k**b + 3 - k wrt k. -6*k Let j(p) = 6*p**2 - 5*p + 5. Let b(o) = -7*o**2 + 6*o - 4. Let t(s) = 5*b(s) + 6*j(s). Differentiate t(i) with respect to i. 2*i Let j be -18*(15/9 + -2). Differentiate j*l**4 - 9*l**4 + 4 - l**4 + 0 wrt l. -16*l**3 Suppose 3 = 2*s - s. Let h = s - 1. Find the third derivative of -3*a**h + a**6 - a**2 + 2*a**2 wrt a. 120*a**3 Let s(v) be the third derivative of 0*v**6 + 0*v + 2*v**2 + 1/105*v**7 + 0*v**4 + 0*v**5 + 0 + 1/3*v**3. What is the derivative of s(k) wrt k? 8*k**3 Suppose -3*p + 2*p + 8 = 0. Suppose 2*n - 6 = -2*u, 5*u = p*n - 3*n + 15. Find the third derivative of n*m**3 - m**2 + m**5 + 0*m**3 wrt m. 60*m**2 Suppose 0 = -3*w + 5*k + 49 - 11, -8 = 2*k. Find the first derivative of -b**4 + w + b**4 - 2*b**4 wrt b. -8*b**3 Let u(t) be the first derivative of 13*t**2/2 + 16*t + 5. What is the derivative of u(p) wrt p? 13 Let f(c) be the third derivative of 0*c + 0*c**3 + 1/60*c**6 + 0*c**5 - 9*c**2 - 1/3*c**4 + 0. Find the second derivative of f(i) wrt i. 12*i Let h be 10/20 + (-9)/(-2). What is the third derivative of -5*p**3 + h*p**3 + 3*p**6 + 2*p**2 wrt p? 360*p**3 Let l(w) be the second derivative of 5*w**3/3 - 7*w**2/2 + 16*w. Differentiate l(n) with respect to n. 10 Let b(y) be the first derivative of 4*y**5/5 + 2*y + 9. What is the derivative of b(o) wrt o? 16*o**3 What is the derivative of 2*d**2 + 4 + 15 + 7 - 3 wrt d? 4*d Let s(h) be the third derivative of -2*h**7/21 - 10*h**3/3 + 10*h**2. Differentiate s(i) with respect to i. -80*i**3 Let i be 2/(-3)*3*-1. Find the third derivative of 4*v**2 - i*v**2 - v**5 + 4*v**2 wrt v. -60*v**2 Let u(y) be the second derivative of 0 + 1/10*y**5 + 0*y**3 + 1/12*y**4 + 5*y + 0*y**2. Find the third derivative of u(g) wrt g. 12 Let a(u) = -u + 2. Let d(i) = -2*i + 2*i + 0*i - i. Let l(p) = -a(p) + 5*d(p). What is the derivative of l(q) wrt q? -4 Let k(j) = 4 + 1 - 24*j + 19*j + j**2. Let g be k(5). Find the third derivative of -3*z**6 - 4*z**g + z**6 + 2*z**2 + 4*z**5 wrt z. -240*z**3 Let m(c) = 6*c**4 - 3*c - 1. Let d(b) = -b**4 - b - 1. Let g be (-1)/(0 - -4)*4. Let a(l) = g*m(l) + d(l). What is the second derivative of a(h) wrt h? -84*h**2 What is the first derivative of -3 - 6*w**3 + 5*w**3 + 0*w**3 wrt w? -3*w**2 Let x be ((-21)/9 - -2)*-6. Suppose 2*b = x*y + 2, 2*b - 1 - 4 = -y. Find the third derivative of n**2 + n**2 + b*n**2 + 2*n**3 wrt n. 12 Let h be (-2)/((-4)/(-22))*-1. Suppose 0 = 4*x - 5 - 3. Differentiate 11*q**2 - h*q**x - 1 + 3*q**4 wrt q. 12*q**3 Find the second derivative of 12*n**3 - 28*n + 0*n**3 + 20*n**3 wrt n. 192*n Let c(k) be the second derivative of 9*k**5/20 + k**3/3 + 3*k. What is the second derivative of c(h) wrt h? 54*h
{ "pile_set_name": "DM Mathematics" }
+ 2*d + 1. Let l be u(-2). Calculate the greatest common factor of l and 3. 3 Let j be -28*(-1)/((-20)/(-55)). What is the greatest common factor of j and 7? 7 Let s(b) = b**3 + 8*b**2 + 5*b - 6. Let g be s(-7). Calculate the greatest common factor of g and 40. 8 Let p be -4 + 1 + 32/(4 + 4). Let f(t) = -t**3 - 10*t**2 - t - 1. Let r be f(-10). Calculate the highest common divisor of r and p. 1 Suppose 14*u = 4*u + 560. Let m = 5 + 2. Calculate the greatest common factor of u and m. 7 Let i(f) = -f**3 - 6*f**2 + 4*f + 3. Let v be i(-7). Let h = 7 + 5. Calculate the greatest common divisor of h and v. 12 Let j = 41 + -29. Calculate the greatest common factor of j and 60. 12 Suppose -g = 2*z, -g - 2*g + 15 = z. What is the highest common divisor of g and 6? 6 Let j = 3 - 18. Let b be (42/8)/(j/(-40)). What is the highest common factor of b and 42? 14 Let d(m) be the second derivative of -2*m**3/3 - 2*m**2 + 4*m. Let j be d(-4). What is the highest common factor of 48 and j? 12 Let b = -82 + 237. What is the highest common factor of 62 and b? 31 Let o = 217 - 151. What is the highest common divisor of o and 44? 22 Suppose 4*i - 104 = -8. Let l = -14 + i. Calculate the greatest common divisor of l and 90. 10 Let x(y) = -y**3 + 2*y**2 + 5*y - 3. Let q be x(3). Calculate the highest common divisor of q and 9. 3 Let w = -2 + 7. Suppose 3*c - 60 = w*c. Let t be (c/(-1) - 0) + 0. What is the highest common divisor of t and 12? 6 Let c = 3 - -1. Let h be (-3)/(-4)*(116 + c). Suppose 3*o - 2*d - 43 = 0, -o + 5*d - 3 = -13. Calculate the highest common divisor of o and h. 15 Let t be 3*3/1*2. Suppose -r - 18 = -z, -2*z + 1 = 8*r - 3*r. Let v = 22 - z. What is the highest common factor of t and v? 9 Let f(v) = -v**2 + 2*v + 2 + 4*v + 0. Let p be f(6). Suppose b - p*b + 18 = 0. What is the highest common divisor of b and 45? 9 Let c = 24 - 14. Calculate the greatest common divisor of 50 and c. 10 Let u = 24 - 13. Let t = u - 6. Suppose t*c - 41 = -1. Calculate the highest common divisor of 40 and c. 8 Suppose -m + 7 = 4*y, -23 = -0*m - 2*m - 5*y. Calculate the highest common factor of m and 209. 19 Let z = 10 - -5. What is the greatest common divisor of 15 and z? 15 Suppose 5*y + 15 = 150. Let z be (-9)/(-6) - 6/(-4). Let a be 8 - (-2 - (2 - z)). Calculate the greatest common divisor of a and y. 9 Suppose 0 = 2*f - u - 34 + 3, 3*f - 34 = -u. Suppose -9*c - 65 = -14*c. Calculate the greatest common divisor of f and c. 13 Let x(y) = y**3 + 3*y**2 + 2*y. Let w be x(-2). Suppose w*r - 9 = -3*r. Calculate the highest common factor of r and 24. 3 Let a be (-2)/(-3) - (-1)/3. Suppose i - a = -0. Let b = 0 + i. Calculate the greatest common divisor of 5 and b. 1 Let m be (-2)/2 - (-5 + 2). Suppose -m = -4*i + 74. Calculate the highest common divisor of 38 and i. 19 Let u be 4/(-14) - (-102)/14. Let h be u/(-2)*-4*1. Let n(q) = -18*q + 4. Let f be n(-6). What is the greatest common divisor of h and f? 14 Suppose 2*u = -0*u + 288. Calculate the highest common factor of 9 and u. 9 Suppose -2*h + 0*h = 2*d, 4*d + 4 = 0. Calculate the greatest common divisor of 5 and h. 1 Suppose 3*d - 224 = d. Calculate the greatest common divisor of 16 and d. 16 Suppose -34*k - 24 = -36*k. Let u = -9 + 17. What is the highest common factor of k and u? 4 Let i = 147 + -129. Suppose 140 = 3*o - 292. Calculate the greatest common factor of i and o. 18 Suppose -c = -4*w - 1, 4*c - 7 = -4*w - 3. Let j = 18 - 9. Calculate the greatest common divisor of c and j. 1 Let o be -1*(-3 + (0 - 6)). Calculate the highest common factor of o and 9. 9 Let b = -115 + 225. Calculate the greatest common divisor of 10 and b. 10 Let t(w) = 4 - 5*w - 6 + 0*w**2 + 0*w**2 + 3*w**2. Let o be t(4). Calculate the highest common factor of o and 26. 26 Suppose 48 = 3*b + 18. Suppose 58 = g - 50. Let l be g + 1 + 2/2. What is the greatest common factor of b and l? 10 Suppose -73 = -5*s - 13. Suppose 6*n - 3*n - s = 0. Let f(j) = j**3 - 2*j**2 + 5*j - 4. Let x be f(3). What is the highest common factor of x and n? 4 Let d = 35 + 119. Suppose d + 6 = 4*q. Suppose -q = -5*v - 5. Calculate the greatest common factor of 49 and v. 7 Suppose 0*v - 5*y - 45 = -5*v, 0 = -5*v - 4*y + 18. Let k = 0 + 0. Suppose r + k*r - 3 = 0. What is the highest common factor of r and v? 3 Let k(m) = -5*m - 15. Let j(n) = -n - 4. Let h(d) = -9*j(d) + 2*k(d). Let t be h(-8). Suppose 4 = 4*b - 24. Calculate the highest common divisor of b and t. 7 Suppose 8*r = -3*o + 4*r - 61, -3*o - 5*r = 56. Suppose -3*i = -i - 4. Let k be ((-4)/6)/(i/o). What is the highest common divisor of k and 18? 9 Suppose c - 4 = -c. Let z be (-3 + 1)/c - -18. Calculate the greatest common divisor of 17 and z. 17 Suppose -5*h - 9 + 29 = 5*r, 0 = -4*h + 4*r + 16. Let w be -4 + (-3 - -4) + 23. What is the greatest common factor of h and w? 4 Let q be (-2 - -43 - 1) + 3. Let s = -3 + 9. Suppose -2*n = s*y - y - q, 5*y - 49 = 4*n. What is the highest common divisor of y and 1? 1 Let h(z) = -z**2 - 3*z + 2. Let f be h(-3). Suppose f*m - 660 = -2*m. Let k = 30 - 15. Calculate the highest common divisor of m and k. 15 Let y be 1/2*(-204)/2. Let c be 0 - y - (-2 + -1). Calculate the greatest common factor of 18 and c. 18 Let f(h) = 2*h. Let x be f(5). Let d be 2/(-2 - x/(-4)). Suppose -3*y = -b + 6*b - 449, d*b - 302 = -2*y. Calculate the highest common divisor of 13 and y. 13 Suppose -4*u + 9*u = 30. Calculate the greatest common factor of 20 and u. 2 Let h(s) = 2*s**2 + 4*s + 3. Let f be h(-2). Let q = 24 - 19. Suppose f + q = t. Calculate the greatest common factor of 24 and t. 8 Suppose 5 = -2*j + 25. Suppose 4*d = -2*v + 124, -3*d + 96 = -12*v + 15*v. Calculate the greatest common factor of j and d. 10 Suppose 0 = 3*q + 4*z - 135, 0 = q - 2*q + z + 45. Calculate the greatest common divisor of 60 and q. 15 Let i be ((-1)/4)/(1/(-52)). Calculate the greatest common factor of i and 52. 13 Let d = -6 + 11. Suppose -i + 0 + 1 = -n, -n - 1 = -d*i. Let o = 6 + i. What is the greatest common divisor of o and 9? 3 Suppose 2*o - 78 = -u, -6 = -o - 2*o. Suppose 5*l - u = 196. Let c(g) = 3*g - 3. Let m be c(3). What is the highest common factor of m and l? 6 Suppose -2*h = 2, -3*a - h + 2 = -0*a. Let c be (3/9)/((-1)/(-12)). Suppose 5*l - 14 = -c. Calculate the greatest common factor of a and l. 1 Suppose -2*x + 8 = -8. Let u(y) = 56*y**3 - y**2 + 1. Let b be 2 - (3 - 2) - 0. Let g be u(b). Calculate the highest common factor of x and g. 8 Suppose -4*l + 78 = -2*l - 4*h, -3*l + 4*h = -113. Calculate the greatest common divisor of 5 and l. 5 Let p be (2 - 0) + -1 + 55. Let j be ((-36)/14)/((-2)/p). Suppose 3*o + 30 = 174. What is the highest common factor of o and j? 24 Let n be 10*1*1/(-2). Let f = -10 - n. Let a = f + 14. What is the highest common factor of 6 and a? 3 Let p(h) = -2*h + 25. Let x be p(-7). What is the highest common factor of 78 and x? 39 Let p(v) = 11*v**2 - v + 81. Let j be p(0). What is the highest common divisor of j and 54? 27 Let p(q) = -5*q**2 - 7*q + 4. Let v be p(5). Let t = v - -365. Let m = -9 + 28. Calculate the greatest common divisor of t and m. 19 Let k = -8 - -7. Let a be 63/6*(k - -3). What is the greatest common divisor of 189 and a? 21 Suppose -2*s = -2*r - 28, 3*r + 60 = 4*s + s. Calculate the highest common factor of 63 and s. 9 Let r(m) = -5*m - 1. Let f be r(4). Let i = f - -37. What is the highest common divisor of i and 4? 4 Suppose 14 = -3*o + 2. Let y be (2 + o)*(-38)/4. Suppose -5 = 2*l + 1, -3*p + 525 = -4*l. What is the greatest common divisor of p and y? 19 Let b be (1 + (-6)/10)*140. Let i be b/6 - 4/12. What is the greatest common factor of 6 and i? 3 Let k be -12 - -4*4/(-4). Let z = 58 + k. What is the greatest common divisor of 14 and z? 14 Suppose -4 = -3*m + 26. What is the highest common divisor of 1 and m? 1 Suppose 5*m - 15 = -5. Suppose m*y = -3*y + 30. Calculate the greatest common factor of y and 12. 6 Let a = 6 - 3. Suppose -x - l + 16 = 0, 4*l + 0*l = -a*x + 44. Calculate the highest common divisor of 5 and x. 5 Suppose -g = -l - 43, -g + l - 191 = -6*g. Let v be -1 - (-38)/3 - 28/(-21). Calculate the greatest common divisor of g and v. 13 Let h be 0 + 0/1 - 9. Let n = -7 - h. Suppose -5*j + 36 + 39 = 5*t, n*t = -
{ "pile_set_name": "DM Mathematics" }
is 667 minutes before 9:19 PM? 10:12 AM How many minutes are there between 11:08 AM and 6:27 PM? 439 How many minutes are there between 8:59 AM and 11:07 AM? 128 How many minutes are there between 1:21 PM and 6:53 PM? 332 How many minutes are there between 1:26 PM and 11:35 PM? 609 How many minutes are there between 12:52 PM and 3:02 PM? 130 What is 700 minutes after 4:21 AM? 4:01 PM What is 616 minutes after 11:39 AM? 9:55 PM How many minutes are there between 10:20 PM and 7:18 AM? 538 How many minutes are there between 12:42 PM and 3:07 PM? 145 How many minutes are there between 3:04 AM and 7:10 AM? 246 How many minutes are there between 11:00 PM and 1:39 AM? 159 What is 253 minutes after 2:58 AM? 7:11 AM What is 90 minutes before 10:20 PM? 8:50 PM How many minutes are there between 6:12 AM and 6:32 AM? 20 What is 473 minutes before 3:48 AM? 7:55 PM What is 617 minutes after 6:44 PM? 5:01 AM How many minutes are there between 12:40 PM and 5:35 PM? 295 What is 97 minutes after 1:43 PM? 3:20 PM How many minutes are there between 2:05 AM and 6:03 AM? 238 What is 543 minutes before 5:12 AM? 8:09 PM What is 96 minutes after 5:31 AM? 7:07 AM What is 607 minutes after 12:04 PM? 10:11 PM How many minutes are there between 7:45 AM and 10:19 AM? 154 What is 480 minutes after 3:52 AM? 11:52 AM How many minutes are there between 8:28 AM and 9:04 AM? 36 What is 63 minutes before 10:00 PM? 8:57 PM How many minutes are there between 5:38 PM and 5:50 PM? 12 How many minutes are there between 6:17 AM and 6:56 AM? 39 How many minutes are there between 3:13 PM and 12:16 AM? 543 What is 373 minutes before 5:01 AM? 10:48 PM What is 264 minutes before 4:43 PM? 12:19 PM What is 60 minutes before 2:04 PM? 1:04 PM How many minutes are there between 8:39 PM and 2:23 AM? 344 How many minutes are there between 10:46 PM and 5:24 AM? 398 How many minutes are there between 2:18 AM and 1:33 PM? 675 What is 675 minutes after 9:04 AM? 8:19 PM How many minutes are there between 3:48 AM and 8:18 AM? 270 How many minutes are there between 3:56 AM and 6:13 AM? 137 What is 398 minutes after 12:50 AM? 7:28 AM What is 283 minutes after 11:36 PM? 4:19 AM How many minutes are there between 2:01 AM and 10:12 AM? 491 How many minutes are there between 6:38 AM and 3:06 PM? 508 How many minutes are there between 8:18 AM and 10:26 AM? 128 How many minutes are there between 3:22 PM and 12:02 AM? 520 How many minutes are there between 9:54 AM and 12:30 PM? 156 How many minutes are there between 3:34 PM and 5:50 PM? 136 What is 88 minutes after 4:21 PM? 5:49 PM What is 238 minutes before 5:54 PM? 1:56 PM How many minutes are there between 3:20 AM and 5:53 AM? 153 What is 583 minutes after 5:37 PM? 3:20 AM How many minutes are there between 3:19 AM and 2:20 PM? 661 What is 525 minutes after 12:38 PM? 9:23 PM How many minutes are there between 11:08 AM and 7:45 PM? 517 What is 457 minutes after 2:44 AM? 10:21 AM How many minutes are there between 7:49 AM and 12:00 PM? 251 What is 446 minutes before 2:35 AM? 7:09 PM What is 36 minutes after 9:08 PM? 9:44 PM How many minutes are there between 11:57 AM and 12:39 PM? 42 What is 505 minutes after 5:13 PM? 1:38 AM What is 490 minutes after 8:06 PM? 4:16 AM How many minutes are there between 11:06 PM and 6:30 AM? 444 How many minutes are there between 5:00 AM and 2:57 PM? 597 What is 609 minutes after 12:27 PM? 10:36 PM How many minutes are there between 6:52 AM and 7:25 AM? 33 What is 636 minutes after 11:35 AM? 10:11 PM How many minutes are there between 9:59 AM and 11:43 AM? 104 How many minutes are there between 7:07 PM and 5:32 AM? 625 What is 253 minutes after 8:51 PM? 1:04 AM How many minutes are there between 3:09 PM and 11:14 PM? 485 What is 557 minutes after 2:32 AM? 11:49 AM How many minutes are there between 10:53 AM and 8:48 PM? 595 How many minutes are there between 11:48 AM and 11:03 PM? 675 What is 682 minutes after 1:44 PM? 1:06 AM How many minutes are there between 1:31 AM and 10:50 AM? 559 What is 103 minutes before 4:46 AM? 3:03 AM How many minutes are there between 11:03 PM and 2:14 AM? 191 How many minutes are there between 8:46 PM and 2:23 AM? 337 How many minutes are there between 2:54 PM and 7:18 PM? 264 What is 165 minutes after 4:17 AM? 7:02 AM What is 679 minutes before 7:25 PM? 8:06 AM How many minutes are there between 5:17 AM and 12:53 PM? 456 What is 149 minutes before 11:36 PM? 9:07 PM What is 142 minutes after 8:43 PM? 11:05 PM What is 300 minutes before 12:13 PM? 7:13 AM What is 419 minutes after 5:31 PM? 12:30 AM What is 564 minutes before 10:33 PM? 1:09 PM How many minutes are there between 4:39 PM and 10:03 PM? 324 How many minutes are there between 5:13 AM and 10:34 AM? 321 What is 240 minutes after 12:18 AM? 4:18 AM How many minutes are there between 2:46 PM and 3:49 PM? 63 How many minutes are there between 5:40 AM and 10:38 AM? 298 What is 538 minutes after 5:30 AM? 2:28 PM How many minutes are there between 4:11 PM and 9:06 PM? 295 How many minutes are there between 10:18 PM and 6:00 AM? 462 What is 36 minutes before 6:40 PM? 6:04 PM How many minutes are there between 10:33 AM and 1:20 PM? 167 What is 514 minutes after 4:48 PM? 1:22 AM What is 231 minutes after 4:34 AM? 8:25 AM How many minutes are there between 11:58 PM and 11:46 AM? 708 What is 399 minutes before 2:05 AM? 7:26 PM How many minutes are there between 6:47 PM and 10:24 PM? 217 What is 410 minutes after 11:02 PM? 5:52 AM How many minutes are there between 8:28 AM and 11:04 AM? 156 How many minutes are there between 3:03 AM and 4:25 AM? 82 How many minutes are there between 5:02 PM and 10:47 PM? 345 What is 421 minutes before 1:34 PM? 6:33 AM How many minutes are there between 10:43 PM and 8:42 AM? 599 How many minutes are there between 9:03 AM and 8:21 PM? 678 How many minutes are there between 6:28 AM and 6:23 PM? 715 How many minutes are there between 2:36 PM and 8:13 PM? 337 What is 573 minutes after 9:35 PM? 7:08 AM What is 126 minutes before 11:55 PM? 9:49 PM How many minutes are there between 9:53 AM and 6:43 PM? 530 What is 153 minutes after 7:38 AM? 10:11 AM How many minutes are there between 7:08 PM and 6:45 AM? 697 How many minutes are there between 11:38 PM and 7:14 AM? 456 How many minutes are there between 9:42 AM and 10:20 AM? 38 What is 40 minutes after 2:45 AM? 3:25 AM How many minutes are there between 2:25 AM and 11:15 AM? 530 What is 67 minutes after 9:51 PM? 10:58 PM What is 388 minutes after 3:13 AM? 9:41 AM How many minutes are there between 10:16 PM and 12:40 AM? 144 What is 404 minutes after 2:55 AM? 9:39 AM What is 359 minutes after 8:29 AM? 2:28 PM How many minutes are there between 4:31 AM and 3:28 PM? 657 How many minutes are there between 8:54 PM and 10:31 PM? 97 What is 399 minutes before 6:13 AM? 11:34 PM What is 576 minutes after 5:40 AM? 3:16 PM How many minutes are there between 8:31 AM and 2:38 PM? 367 What is 320 minutes after 6:46 AM? 12:06 PM What is 481 minutes before 11:38 AM? 3:37 AM How many minutes are there between 1:40 PM and 5:09 PM? 209 How many minutes are there between 8:54 PM and 1:49 AM? 295 What is 524 minutes after 3:39 AM? 12:23 PM How many minutes are there between 12:06 PM and 10:31 PM? 625 How many minutes are there between 10:14 AM and 4:48 PM? 394 How many minutes are there between 2:26 PM and 9:34 PM? 428 What is 127 minutes after 6:02 AM? 8:09 AM What is 90 minutes before 2:13 PM? 12:43 PM What is 611 minutes after 3:47 PM? 1:58 AM How many minutes are there between 7:44 AM and 12:40 PM? 296 What is 321 minutes after 9:22 PM? 2:43 AM How many minutes are there between 4:27 PM and 5:44 PM? 77 What is 705 minutes before 10:31 AM? 10:46 PM How many minutes are there between 1:26 PM and 2:06 PM? 40 What is 605 minutes after 1:53 PM? 11:58 PM How many minutes are there between 7:18 PM and 6:45 AM? 687 How many minutes are there between 3:46 AM and 11:38 AM? 472 How many minutes are there between 1:36 AM and 4:15 AM? 159 How many minutes are there between 8:23 PM and 7:26 AM? 663 What is 372 minutes after 7:19 PM? 1:31 AM How many minutes are there between 12:49 PM and 9:37 PM? 528 What is 6 minutes after 9:43 PM? 9:49 PM What is 597 minutes before 10:07 PM? 12:10 PM How many minutes
{ "pile_set_name": "DM Mathematics" }
t is the remainder when 374 is divided by 108? 50 Calculate the remainder when 44 is divided by 16. 12 What is the remainder when 1874 is divided by 196? 110 What is the remainder when 5983 is divided by 39? 16 Calculate the remainder when 387 is divided by 103. 78 Calculate the remainder when 479 is divided by 124. 107 Calculate the remainder when 2393 is divided by 1185. 23 What is the remainder when 1695 is divided by 242? 1 What is the remainder when 9580 is divided by 223? 214 What is the remainder when 684 is divided by 170? 4 Calculate the remainder when 146 is divided by 76. 70 What is the remainder when 536 is divided by 24? 8 Calculate the remainder when 6679 is divided by 163. 159 What is the remainder when 40 is divided by 26? 14 What is the remainder when 317 is divided by 65? 57 What is the remainder when 8924 is divided by 7? 6 What is the remainder when 1048 is divided by 264? 256 What is the remainder when 3895 is divided by 60? 55 Calculate the remainder when 96 is divided by 10. 6 What is the remainder when 4738 is divided by 12? 10 Calculate the remainder when 133 is divided by 44. 1 What is the remainder when 765 is divided by 24? 21 Calculate the remainder when 175 is divided by 44. 43 What is the remainder when 156 is divided by 42? 30 What is the remainder when 325 is divided by 20? 5 What is the remainder when 267 is divided by 82? 21 What is the remainder when 103 is divided by 29? 16 Calculate the remainder when 313 is divided by 8. 1 What is the remainder when 29 is divided by 19? 10 What is the remainder when 2241 is divided by 33? 30 What is the remainder when 496 is divided by 50? 46 What is the remainder when 15959 is divided by 57? 56 What is the remainder when 259 is divided by 70? 49 What is the remainder when 58 is divided by 30? 28 Calculate the remainder when 447 is divided by 14. 13 What is the remainder when 86 is divided by 27? 5 What is the remainder when 315 is divided by 67? 47 Calculate the remainder when 79 is divided by 17. 11 What is the remainder when 120 is divided by 111? 9 Calculate the remainder when 111 is divided by 65. 46 Calculate the remainder when 121 is divided by 48. 25 What is the remainder when 389 is divided by 53? 18 Calculate the remainder when 4171 is divided by 64. 11 Calculate the remainder when 109 is divided by 24. 13 Calculate the remainder when 467 is divided by 118. 113 What is the remainder when 125 is divided by 121? 4 Calculate the remainder when 375 is divided by 77. 67 What is the remainder when 123 is divided by 13? 6 What is the remainder when 3957 is divided by 564? 9 What is the remainder when 772 is divided by 255? 7 Calculate the remainder when 297 is divided by 14. 3 Calculate the remainder when 717 is divided by 122. 107 What is the remainder when 447 is divided by 56? 55 What is the remainder when 37 is divided by 10? 7 What is the remainder when 381 is divided by 237? 144 What is the remainder when 1129 is divided by 50? 29 What is the remainder when 1684 is divided by 840? 4 What is the remainder when 157 is divided by 16? 13 What is the remainder when 5379 is divided by 234? 231 Calculate the remainder when 550 is divided by 24. 22 What is the remainder when 885 is divided by 29? 15 Calculate the remainder when 1776 is divided by 10. 6 What is the remainder when 3896 is divided by 75? 71 What is the remainder when 1808 is divided by 67? 66 Calculate the remainder when 2747 is divided by 86. 81 Calculate the remainder when 91 is divided by 23. 22 Calculate the remainder when 30 is divided by 19. 11 Calculate the remainder when 687 is divided by 62. 5 What is the remainder when 145 is divided by 17? 9 What is the remainder when 1583 is divided by 14? 1 What is the remainder when 18146 is divided by 22? 18 What is the remainder when 29 is divided by 3? 2 Calculate the remainder when 2547 is divided by 75. 72 What is the remainder when 1115 is divided by 489? 137 What is the remainder when 6915 is divided by 7? 6 Calculate the remainder when 123 is divided by 115. 8 What is the remainder when 294 is divided by 79? 57 What is the remainder when 37 is divided by 9? 1 What is the remainder when 1246 is divided by 48? 46 Calculate the remainder when 169 is divided by 19. 17 Calculate the remainder when 1114 is divided by 36. 34 Calculate the remainder when 613 is divided by 204. 1 What is the remainder when 244 is divided by 124? 120 What is the remainder when 303 is divided by 25? 3 Calculate the remainder when 1044 is divided by 55. 54 Calculate the remainder when 1019 is divided by 51. 50 Calculate the remainder when 105 is divided by 36. 33 Calculate the remainder when 669 is divided by 61. 59 Calculate the remainder when 447 is divided by 32. 31 Calculate the remainder when 3920 is divided by 30. 20 What is the remainder when 979 is divided by 276? 151 Calculate the remainder when 166 is divided by 9. 4 Calculate the remainder when 733 is divided by 62. 51 Calculate the remainder when 118 is divided by 21. 13 What is the remainder when 191 is divided by 12? 11 What is the remainder when 439 is divided by 21? 19 What is the remainder when 223 is divided by 72? 7 What is the remainder when 2559 is divided by 151? 143 Calculate the remainder when 299 is divided by 20. 19 Calculate the remainder when 662 is divided by 18. 14 What is the remainder when 4735 is divided by 86? 5 What is the remainder when 1143 is divided by 568? 7 Calculate the remainder when 4 is divided by 1. 0 What is the remainder when 294 is divided by 99? 96 Calculate the remainder when 509 is divided by 51. 50 What is the remainder when 937 is divided by 20? 17 What is the remainder when 68 is divided by 35? 33 Calculate the remainder when 1253 is divided by 154. 21 What is the remainder when 4366 is divided by 141? 136 What is the remainder when 3204 is divided by 9? 0 Calculate the remainder when 129 is divided by 17. 10 What is the remainder when 56 is divided by 43? 13 Calculate the remainder when 6816 is divided by 55. 51 What is the remainder when 1949 is divided by 966? 17 What is the remainder when 573 is divided by 10? 3 What is the remainder when 1084 is divided by 74? 48 Calculate the remainder when 214 is divided by 33. 16 Calculate the remainder when 7466 is divided by 77. 74 What is the remainder when 121 is divided by 5? 1 What is the remainder when 55 is divided by 30? 25 Calculate the remainder when 39 is divided by 30. 9 What is the remainder when 2662 is divided by 7? 2 What is the remainder when 1869 is divided by 144? 141 Calculate the remainder when 4040 is divided by 119. 113 Calculate the remainder when 94 is divided by 6. 4 What is the remainder when 4213 is divided by 17? 14 What is the remainder when 4879 is divided by 52? 43 What is the remainder when 57 is divided by 34? 23 Calculate the remainder when 269 is divided by 39. 35 Calculate the remainder when 1050 is divided by 27. 24 What is the remainder when 966 is divided by 19? 16 What is the remainder when 4314 is divided by 29? 22 What is the remainder when 339 is divided by 70? 59 Calculate the remainder when 195 is divided by 90. 15 What is the remainder when 1834 is divided by 34? 32 Calculate the remainder when 2911 is divided by 13. 12 Calculate the remainder when 5364 is divided by 2675. 14 What is the remainder when 221 is divided by 76? 69 Calculate the remainder when 251 is divided by 20. 11 What is the remainder when 13103 is divided by 114? 107 What is the remainder when 446 is divided by 18? 14 Calculate the remainder when 70 is divided by 51. 19 Calculate the remainder when 3 is divided by 3. 0 Calculate the remainder when 2379 is divided by 5. 4 What is the remainder when 1233 is divided by 199? 39 Calculate the remainder when 1117 is divided by 278. 5 Calculate the remainder when 1411 is divided by 18. 7 Calculate the remainder when 219 is divided by 38. 29 What is the remainder when 28 is divided by 4? 0 Calculate the remainder when 42 is divided by 24. 18 Calculate the remainder when 179 is divided by 34. 9 Calculate the remainder when 401 is divided by 188. 25 Calculate the remainder when 2125 is divided by 304. 301 Calculate the remainder when 187 is divided by 47. 46 Calculate the rem
{ "pile_set_name": "DM Mathematics" }
is divided by (940/(-48) - (-2)/8)*(-3)/2. 27 Suppose -7*q - 63 = -8*q - 20. What is the remainder when 2063 is divided by q? 42 Suppose -4*n - n + 570 = 0. Suppose -86 = -3*q + 3*z - 32, -4*q + 61 = -5*z. What is the remainder when n is divided by q? 27 Let o be (4/(-8) + 0)*-1*4. Suppose -2*c + 854 = -2*a, 2*c + 0*c - 870 = -o*a. Let k = c - 289. What is the remainder when k is divided by 12? 10 Let g(c) = -4*c**2 + 27*c + 43. What is the remainder when 64 is divided by g(8)? 1 Let a(f) = f**3 + f**2 - 18*f - 26. Let q be a(-8). Let l = q - -504. Calculate the remainder when l is divided by 35. 34 Let i be -32 - -35 - (4 - 1). Suppose -322 = -2*x + 2*p, i*x - 2*x = -p - 324. Calculate the remainder when x is divided by 28. 23 Suppose 5*u - 166 - 214 = 0. Let m(i) = -i**3 + 23*i**2 - 22*i + 2. What is the remainder when u is divided by m(22)? 0 Suppose 2402*t - 2483*t = -47142. Calculate the remainder when t is divided by 21. 15 Suppose -381*r + 790*r + 881958 = 1993*r + 1958*r. Suppose -4*c - c + 140 = 0. Calculate the remainder when r is divided by c. 25 Calculate the remainder when 258 + ((-6)/9)/(10/75) is divided by 128. 125 What is the remainder when 1746 is divided by ((-98)/3)/(7 + (-1639)/231)? 31 Let v = 23 + 109. Suppose -2*b = b - 2*m - 89, 0 = -4*b - 4*m + v. Let u = 8 - 0. Calculate the remainder when b is divided by u. 7 Let u = 1004 + -996. Suppose 4*t - 3*a = 8, -4 = -t - t - a. What is the remainder when u is divided by t? 0 Let k(i) = 6*i**2 + 9*i + 9. Suppose 2*b - 4*b + x - 34 = 0, 0 = 3*b + 2*x + 44. Let l = -9 - b. What is the remainder when l is divided by k(-1)? 1 Let b(j) be the first derivative of j**4/4 - 5*j**3/3 + 2*j**2 - 9*j - 12. Let u be b(4). Calculate the remainder when ((-3)/u)/(2/150) is divided by 9. 7 Let j = 18 - 13. Suppose 5*s - m - 1492 = 0, s - 31*m = -33*m + 294. What is the remainder when s is divided by j? 3 Suppose 30*n - 29*n - 155 = -p, -2*n - 3*p + 305 = 0. Calculate the remainder when 2719 is divided by n. 159 Let o = 3945 - 3918. What is the remainder when 314 is divided by o? 17 Suppose -20*v - 6084 = 5676. Let a = v - -596. What is the remainder when 118 is divided by a? 6 Let m = -232 - -252. Suppose m*b - 30 = 10*b. Calculate the remainder when 37 is divided by b. 1 Let l(p) = 80*p + 4. Let x be l(2). Let r = 186 - x. Suppose -3*w + 283 - 46 = 0. What is the remainder when w is divided by r? 13 Suppose 64 + 128 = -6*u. Let f be (u/((-12)/(-3)))/1. Let h(d) = d**3 + 7*d**2 - 14*d - 5. Calculate the remainder when h(f) is divided by 17. 9 Suppose 0 = 2*l + 2*l + 5*v - 493, -3*l + v = -365. Let w(a) = 2381*a - 23778. What is the remainder when l is divided by w(10)? 26 Suppose -2143 = -5*z - 4*q, -2 = 37*q - 38*q. What is the remainder when 445 is divided by z? 18 Let b(n) = n**2 - 84. Let p be b(9). Let k(w) = -19*w - 26. What is the remainder when k(p) is divided by 11? 9 Let o(g) = -14*g - 4 + 137*g**3 - 136*g**3 - 8 - 8*g**2 - 9. Calculate the remainder when 265 is divided by o(10). 31 Let s = 62 - -377. Let z = s + -292. What is the remainder when z is divided by 46? 9 Let h be (1/(-3))/(19/(-57)). Let q(i) = 13*i + 4 - 12 - h - 8. Calculate the remainder when 172 is divided by q(4). 32 Let v(o) = 126*o + 3239. What is the remainder when v(17) is divided by 18? 17 Let i(z) = -6*z - 4. Let d be i(-5). Let l = 31 - d. Suppose 0 = l*x - x - 64. Calculate the remainder when 31 is divided by x. 15 Let m = 62 + -3. Suppose 0*n + 14*n - 70 = 0. Suppose g - 17 = -4*y, -16*y + 106 = n*g - 17*y. What is the remainder when m is divided by g? 17 Let t(i) = 15*i - 107. Let q(z) = -32*z + 214. Let a(d) = -2*q(d) - 5*t(d). What is the remainder when a(8) is divided by 13? 6 Suppose 762 = 3*n + 5*t - 7*t, -6*t = n - 254. Calculate the remainder when n is divided by 74. 32 Let c = -12442 - -12554. Suppose 353 = 4*s + 125. What is the remainder when c is divided by s? 55 Let l = -19346 + 19397. What is the remainder when l is divided by (-11)/(1 + -1 - 1)? 7 Let w = -4245 - -4452. Calculate the remainder when w is divided by 60. 27 Let r(n) = -n + 2*n**2 + 7 + 23*n + 12. Let d be r(-10). What is the remainder when 13 + 12 - (0 - 2)/d is divided by 8? 7 Let i = -85 - -88. Suppose -f - i*k + 0*k - 4 = 0, 5*f = -3*k - 56. Let j = 17 - f. What is the remainder when j is divided by 20? 10 Let h(k) be the second derivative of k**4/6 + 20*k**3/3 + 5*k**2/2 - 2*k + 19. Calculate the remainder when h(-25) is divided by 32. 31 Let s = 361 - 526. Let p be (3 - 580/8)*2. Let y = p - s. What is the remainder when 50 is divided by y? 24 Suppose 4*o + 3*q + 0*q = -12, 3*o = -q - 9. Let a be (((-32)/20)/4)/(o/15). Calculate the remainder when (-6912)/(-112) + a*(-2)/(-14) is divided by 32. 30 Suppose -540*s + 23875 = -349*s. Calculate the remainder when s is divided by 129/4 - 1/4. 29 Let l(p) = -p**2 + 30*p - 31. Suppose 109 + 29 = 6*f. Let u be l(f). Let n = u + -107. Calculate the remainder when 62 is divided by n. 16 Let p(c) = -44*c - 7. Let y = -25 - -24. Calculate the remainder when p(y) is divided by 10. 7 Let z(r) = r**3 + 11*r**2 + 20*r + 22. Let i be z(-9). Suppose -5*v = i*a - 375, 0 = -5*a - 2*v + 640 - 184. What is the remainder when a is divided by 28? 6 Suppose -t + 114 = 3*l, -4*t - 5*l = -9*t + 670. Suppose t*s - 132*s + 468 = 0. Calculate the remainder when s is divided by 56. 44 Let p(f) = 12*f**2 + f - 2. Let l(b) = -b**3 + 9*b**2 + b - 95. Let q = -8 + 14. What is the remainder when p(2) is divided by l(q)? 10 Let p(c) = 306*c + 2164. Calculate the remainder when 243 is divided by p(-7). 1 Let s = 9 - 7. Suppose 0*u - 5*u = 2*o - 50, 5*o = -s*u - 1. Let n(v) = -v**3 - 27*v**2 + 58*v + 56. Calculate the remainder when n(-29) is divided by u. 8 Let i = -9 + 60. Let x = -75 + i. What is the remainder when ((-16)/3 - -4)/(2/x) is divided by 6? 4 Suppose 2*l + 2 = -5*m, m - 5*m - 24 = -4*l. Suppose 54 = -2*n + 3*n + 2*f, 158 = 3*n + 2*f. Let j = n - 46. Calculate the remainder when j is divided by l. 2 Let q(m) = -m**2 - 960*m - 6649. Let v(p) = -p + 103. What is the remainder when v(0) is divided by q(-7)? 15 Suppose -b = -6*o + 3*o - 6, 3 = -3*o. Suppose 0 = -x - 5*g + 42, 0 = b*x + 2*g - 75 + 1. Calculate the remainder when 84 is divided by x. 18 Let m = 302 - 459. Let l = m + 222. Suppose 2*f - 140 = -3*f - z, -z + 5 = 0. Calculate the remainder when l is divided by f. 11 What is the remainder when 533 is divided by -1 + -7 - (468/36 + -86)? 13 Let a = -1158 - -1709. Calculate the remainder when a is divided by (3*-6)/((-33)/44). 23 Suppose 2*q = -2*q. Let n(p) = p**2 - p + 19. Let v(g) = g**2 - g + 18. Let b(o) = -3*n(o) + 4*v(o). What is the remainder when 73 is divided by b(q)? 13 Suppose -631 - 1157 = -4*b + 3*a, 4*a + 1792 = 4*b. What is the remainder when b is divided by 113? 105 Let y(a) = 33*a - 2771. What is the remainder when 1404 is divided by y(86)? 64 Suppose q = -176 + 199. Let d(p) = p**2 - 5*p - 2. Let o(m) = 2*m**2 - 16*m - 7. Let u(g) = 7*d(g) - 2*o(g). What is the remainder when u(-5) is divided by q? 21 Let p(h) = h + 159. What is the remainder when p(13) is divided by 5? 2 Let k(p) = 2*p**2 - 33*p - 49. Let b be k(18). Suppose m - b*m + 35 = 5*s, 4*s + m = 39. Calculate the remainder when 250 is divided by s. 8 Suppose 2*f - f + 91 = 0. Let t = f - -149. Suppose 4*w + 354 = -2*r + 376, 58 = 3*r + w. What is the remainder when t is divided by r? 16 Let b be (2/(-3))/(2/(-12)). Suppose 8 = b*s, -2*o = 3*s + 2*s + 22. What is the remainder when ((-60)/o)/(6/16) - -3 is divided by 4? 1 Let q be (-7 + -2)*-33*(-5)/15. Let m = q + 140. Calculate the remainder when (-2)/7 - (-4572)/28 is divided by m. 40 Let v be 0*(-1 - 1)*6/(-48). Suppose 2*t - 166 - 54 = v. What is the remainder when t is divided by (-1)/(0 + 2/(-112))? 54 Suppose 2*l = -5*m + 3426, 4*m = 36*l - 39*l + 2731. What is the remainder when m is divided by 356? 332 Let k be (-2 + -8)*11/((-550)/(-20)). Calculate the remainder when (k/(-6))/((-23)/((-93288)/16)) is divided by 17. 16 Let s be (5 - 77/21)*3. Let b(n) = -n + 4. Calculate the remainder when (1/s)/(13/884) is divided by b(0). 1 Let b be 137*((-6)/2 + 3 + 1). Suppose -3*z + 128 = 4*w, b = 14*z - 11*z - 5*w. Let t = 18 - 9. Calculate the remainder when z
{ "pile_set_name": "DM Mathematics" }
the remainder when y is divided by (6 + (-2)/3)*3? 15 Let f = -416 - -549. Calculate the remainder when f is divided by 2. 1 Suppose 0 = -2*a - 4, 0*a = 4*o + a + 118. Let r = o + 44. What is the remainder when r is divided by 2? 1 Let u(g) = -16*g**3 + 3*g**2 + 2*g - 1. Let m be u(-1). Calculate the remainder when -85*2/m*4*-2 is divided by 22. 19 Let g be (-4)/6 + 812/(-42). Let u = g + 83. Let q(f) = 5*f + 3. Calculate the remainder when u is divided by q(2). 11 What is the remainder when (-2 - (7 - 8))*-164 is divided by 21? 17 Let g(y) = 11*y + 3. Let d be g(-5). Calculate the remainder when (-6)/(-39) - 2696/d is divided by 37/2 - 1/2. 16 Let a be -2 - -3 - 388/(-2). Suppose 0 = 5*k - 4*k + 2*s - 105, 0 = -2*k - s + a. What is the remainder when k is divided by 32? 31 Let z = 231 + 53. What is the remainder when z is divided by 99? 86 Let b = 102 - 85. Let i(k) = 20*k**2 + 10*k - 9. Calculate the remainder when i(3) is divided by b. 14 Suppose 2*y = -u + 332, 19*y - 338 = 17*y + 2*u. Calculate the remainder when y is divided by 60. 47 Suppose 0 = 45*i - 4*i - 6355. What is the remainder when i is divided by 72? 11 Calculate the remainder when 57 is divided by -1 - (-22)/20 - 894/(-60). 12 Suppose 0 = -v + 3*v - 2. Suppose z = 4*j + 52, 5*z + 2*j = v + 281. Calculate the remainder when z is divided by 29. 27 Let i = -141 - -149. Let p(d) = -2*d**2 + 17*d + 2. What is the remainder when p(i) is divided by 7? 3 Suppose 25*z - 2444 + 144 = 0. Calculate the remainder when z is divided by 29. 5 Let c be (3 + -7)/(1/4)*-14. Let k = c - 20. What is the remainder when k is divided by 41? 40 Let f = 85 - 82. Suppose -2*y = v + 2*v - 10, -v - 34 = -4*y. Calculate the remainder when y is divided by f. 2 Let m = -12 + -2. Let c = -2 - m. Calculate the remainder when 34 is divided by c. 10 Let o(p) = p**3 + 24*p**2 - 10*p - 67. Calculate the remainder when o(-24) is divided by 170. 3 Suppose -o - 10 = -2*o. Suppose -5*y = 5*m - 92 - 83, 3*y = 5*m - 199. Calculate the remainder when m is divided by o. 8 Calculate the remainder when (-3 - 0)*5/(165/(-869)) is divided by 15. 4 Suppose -s = 5*p + 16, 32 = -s - 2*s + p. Let c(n) = n**2 + 11*n + 16. What is the remainder when 26 is divided by c(s)? 10 Let y(q) = -2*q**3 + 2*q**2 + 3*q - 2. Let j be y(2). Calculate the remainder when 33/3*(2 + -1) is divided by (24/15)/(j/(-10)). 3 Suppose -2*o - 310 = -3*h, 3*h + 2*o - 314 = -0*o. Let d = 123 - h. Calculate the remainder when d is divided by 4. 3 Suppose -24*p = -338 - 1294. What is the remainder when p is divided by 30? 8 Let h = 4 + 1. Suppose -c = 3*b - 0*c - 169, 0 = -2*c + 2. Let x = 80 - b. Calculate the remainder when x is divided by h. 4 Calculate the remainder when (2 + -2 + -1)/((-1)/277) is divided by 10. 7 What is the remainder when (33784/205)/(3 - 87/30) is divided by 55? 53 Let c = 1738 - 1695. Calculate the remainder when 379 is divided by c. 35 Let k(n) = n**3 - 3*n**2 + 12*n + 17. What is the remainder when 2117 is divided by k(3)? 50 Suppose 54 = -6*l + 7*l. What is the remainder when l is divided by 1*16 - (-55)/(-11)? 10 Suppose -4*p + 15 = 5*g, -6 = -g - g - p. Suppose 2*a = -g*a + 4*n + 16, -5*a + 5*n = -15. Let h = 9 - a. Calculate the remainder when 9 is divided by h. 4 Let h = 50 - 47. Suppose 3*y - 2 = -p, -h*p - 3 = y + p. What is the remainder when y is divided by 1? 0 Suppose 5*v + 0*v - 154 = -2*q, 0 = q + v - 77. Calculate the remainder when 137 is divided by q. 60 Suppose 0 = 4*p + 3*h - 88, 2*h = p - 12 + 1. What is the remainder when 150 is divided by p? 17 Let m(b) = 2*b - 11. Let t be m(4). Let o = 14 - -17. What is the remainder when o is divided by 16/t*7/((-14)/3)? 7 Let z = -63 - -45. Let m be 8/(-2)*(-3)/4. Calculate the remainder when 14 is divided by z*m/(-6) + 0. 5 Suppose 0 = 2*f + 5 + 35. Let z = f + 34. Calculate the remainder when (-1668)/(-30) - 6/10 is divided by z. 13 Let q(u) = -u - 10. Let z be q(-11). Let c be (z/(-1))/1 - -9. Let d = c - -5. What is the remainder when d is divided by 7? 6 Let i(f) = f**3 + 7*f**2 + 11*f. Calculate the remainder when (15 - 5) + 0 + 1 is divided by i(-4). 3 Suppose 0*m - 109 = 2*m + 5*s, s - 3 = 0. Let f = -41 - m. Let g(x) = -39*x. What is the remainder when g(-1) is divided by f? 18 Calculate the remainder when (-10)/75 + (-1937)/(-15) + 2 is divided by 1. 0 Let a(x) = 4*x**2 + 3*x. Suppose -11 + 2 = 5*p + z, z - 1 = 0. What is the remainder when 1/4 + 3*(-1340)/(-240) is divided by a(p)? 7 Let r = -103 + 110. Let y = r - -31. Suppose -2*d - 747 = -5*j, -2*d - 596 = -4*j - 0*d. Calculate the remainder when j is divided by y. 37 Suppose 169*u - 149*u - 240 = 0. What is the remainder when 165 is divided by u? 9 Suppose 339 = 4*b - 3*l - 171, -2*b + 5*l = -248. Suppose -52*j + 520 = -32*j. Calculate the remainder when b is divided by j. 25 Let a be 10/(-45) - (-796)/18. Suppose -t - 5*r - 4 = -0*t, -4*t = 5*r - a. What is the remainder when t is divided by 5? 1 Let o = 44 + -27. Let g(b) = 10*b - 5*b**2 + 1 + b + b**3 - 2*b**2. What is the remainder when g(6) is divided by o? 14 Let k(w) = 2*w**2 - 59*w - 329. Suppose -5*n - 56 - 259 = -5*z, 2*n = -4*z + 252. Calculate the remainder when z is divided by k(-5). 15 Let q = 52 + -35. Let v = q - -11. Calculate the remainder when v is divided by 11. 6 Let o(i) = -i**2 - 13*i - 12. Let t(a) = a - 2. Let n be t(5). Suppose 2*s + 82 = 3*w + n*s, 24 = w + s. What is the remainder when w is divided by o(-11)? 9 Let d be (-1)/(-1) - (-169 + 19). Suppose -d = -3*u + 4*q, q = 3*u + 2*u - 280. Calculate the remainder when u is divided by 30. 27 Suppose -3*r + 4*a = -274, 0*a - 355 = -4*r - 5*a. What is the remainder when r is divided by 2 - -29 - (-3 + 2)? 26 Let d(q) = -q**3 - 6*q**2 - 5*q. Let i be d(-5). Suppose 4*z - 33 - 23 = i. What is the remainder when 25 is divided by z? 11 Suppose 264*s + 42 = 270*s. Suppose 0 = -2*d + 10 + 38. Calculate the remainder when d is divided by s. 3 Suppose 607 + 257 = 54*t. What is the remainder when 285 is divided by t? 13 Let k(z) = -13*z + 48. Let i(h) = -168*h + 623. Let p(w) = 6*i(w) - 77*k(w). What is the remainder when 95 is divided by p(4)? 11 Suppose 0 = -u - 20 + 16. What is the remainder when 10 is divided by (u/3)/(10/(-15))? 0 Let c(s) = -2*s - 6. Let k be c(-9). Suppose 0 = -4*m + 2*w + 22, w = 3*m - k - 6. Calculate the remainder when 26 is divided by m. 5 Let h = 70 + -28. Suppose j = 3*b - 77 + 12, 48 = 2*b + 4*j. Calculate the remainder when h is divided by b. 20 Suppose 3*a = 3*p + 381, 0*p - 484 = -4*a - 2*p. Suppose 153 = 3*d + 3*f, 3*d - 8*f + 4*f = 139. What is the remainder when d is divided by 4/(-6) - a/(-9)? 10 Let n(g) = -11 + 2 - 11 + 5 + g**2. What is the remainder when 41 is divided by n(-6)? 20 Suppose 6*b + 3 = 9*b. Calculate the remainder when b + -6 + -9 + 24 is divided by 4. 2 Suppose -3*t = 2*t - 50. Let b(z) = -z**3 + 11*z**2 - 8*z - 5. Let o be b(t). Suppose 4*r - 7*r = -o. What is the remainder when 12 is divided by r? 2 Let k(f) = 224 + 65*f**2 - 444 - 5*f + 225. What is the remainder when k(1) is divided by 19? 8 Let d = 722 + -702. Calculate the remainder when 739 is divided by d. 19 Suppose r - 27 = 4*t, -5*r = 4*t - 44 - 19. Calculate the remainder when 53 is divided by r. 8 Let x(d) = 2*d - 5. Let f be x(4). Suppose 4*z = f*z. Suppose -3*h + 27 + 27 = z. Calculate the remainder when 53 is divided by h. 17 What is the remainder when ((-5337)/(-6))/((-18)/(-12)) is divided by 150? 143 Suppose 12 - 2 = y. Suppose 0 = 4*f - 5*v - 469, v = -4*f - f + 550. What is the remainder when 2/(-2)*f/(-3) is divided by y? 7 Let f(a) = 5*a - a - 6*a + 10 + 3*a. Let x be f(-5). Suppose x*p - 29 - 326 = 0. What is the remainder when p is divided by 18? 17 Let s = -583 + 682. What is the remainder when s is divided by 26? 21 Calculate the remainder when 79 is divided by 38/7 - (-7)/(294/(-18)). 4 Calculate the remainder when (471*(-14)/(-105))/((-1)/(-65)) is divided by 95. 92 Calculate the remainder when 251 is divided by (-28)/70 + (-1116)/(-15). 29 Suppose -26 = -2*s + 86. Let t be 2 + s - 6/6. Suppose 0 = 4*k + x - t, -5*k = -3*k - 2*x - 16. Calculate the remainder when k is divided by 4. 1 Let a(l) = 3*l + 64. Calculate the remainder when 439 is divided by a(
{ "pile_set_name": "DM Mathematics" }
q(o(k)). 2*k Let w(p) = -8*p**2 - p**2 + 7*p**2. Let f(h) = -99*h. Let u(g) = -14*g. Let q(k) = 5*f(k) - 36*u(k). Calculate q(w(s)). -18*s**2 Let h(x) = -1362*x**2. Let q(v) = 2*v**2. What is q(h(j))? 3710088*j**4 Let j(c) = -24*c - 214. Let g(t) = 2*t. Calculate g(j(b)). -48*b - 428 Let x(u) = -u. Let l(a) = -19*a**2 + 3*a + 3. Let t(c) = 550*c**2 - 88*c - 88. Let f(m) = 88*l(m) + 3*t(m). Give x(f(r)). 22*r**2 Let v(p) = 5*p**2. Let k(i) = -i + 7*i - 2*i - i. Determine k(v(g)). 15*g**2 Let p(z) = 2*z. Let q(d) = 6*d. Let a = -29 + 21. Let o(t) = a*p(t) + 3*q(t). Let r(u) = 3*u**2. Calculate r(o(c)). 12*c**2 Let v(l) = 63 - 127 + 64 - 2*l. Let g(i) = -3*i**2. Determine g(v(n)). -12*n**2 Let u(h) be the first derivative of h**3 - h + 27. Let p(i) = -i. Give p(u(g)). -3*g**2 + 1 Let t(r) = -r**2 + 2. Let c(w) = 5*w**2 - 9. Let q(a) = -2*c(a) - 9*t(a). Let h(i) = 2*i**2. Calculate q(h(v)). -4*v**4 Let w(o) = -2*o. Suppose 5*r - 110 = -0. Let g be (-12)/30 + r/5. Let l(y) = -5*y + 0*y + g*y. Give w(l(v)). 2*v Let j(i) = 2*i**2. Let d(w) be the first derivative of w**6/180 + 4*w**3/3 + 1. Let x(f) be the third derivative of d(f). Give j(x(n)). 8*n**4 Let q(o) = -2*o + 2. Let h be q(-2). Let k(w) = -h*w**2 + 2*w**2 + 2*w**2. Let m(i) = -2*i. What is k(m(g))? -8*g**2 Let f(b) = -5*b + 5*b - 6*b**2. Let d(n) = -7*n**2. Let z(v) = 3*d(v) - 4*f(v). Let k(m) = -2*m**2. What is k(z(j))? -18*j**4 Let j be 12/4*-1*-29. Let r(u) = 80*u**2 - u + u - j*u**2. Let q(w) = 2*w**2. What is q(r(s))? 98*s**4 Let j(s) = -4*s - 8. Let c(x) = -3*x - 5. Let v = 13 + -5. Let k(i) = v*c(i) - 5*j(i). Let o(h) = -h. Calculate o(k(f)). 4*f Let w(f) be the second derivative of f**3/6 + f. Let n(a) = 6*a**2. Determine w(n(c)). 6*c**2 Let g(a) = 5*a**2. Let d(y) be the third derivative of -y**5/60 - 5*y**2. Determine d(g(z)). -25*z**4 Let r(l) = -8*l**2. Let j(m) = 11*m**2 + 6*m + 6. Let c(t) = 10*t**2 + 5*t + 5. Let x(w) = 6*c(w) - 5*j(w). Give x(r(s)). 320*s**4 Let l(u) = 2*u. Let j(p) = p**2 + 2*p. Let y(c) = 2*c. Let z = -1 - -3. Let i(v) = z*y(v) - 2*j(v). What is l(i(s))? -4*s**2 Let w(u) be the second derivative of -17*u**3/6 - 33*u. Let n(i) = 4*i**2. Determine w(n(d)). -68*d**2 Let k(i) = i - i + 4*i. Let c(n) be the first derivative of -n**3/3 - 13. Give k(c(j)). -4*j**2 Let j(k) = 107*k + 3. Let q(d) = 29*d. Determine q(j(f)). 3103*f + 87 Let j(u) = -3*u - 2. Let x(q) = -q - 34*q + 5*q - 15 - 6. Let d(l) = -21*j(l) + 2*x(l). Let o(t) = -2*t**2. Calculate d(o(i)). -6*i**2 Let t(p) be the third derivative of p**4/6 + 14*p**2. Let l(o) = o**2. Calculate l(t(s)). 16*s**2 Let h(d) = d + 39. Let g(l) = 10*l. Give g(h(k)). 10*k + 390 Let w(a) = 3*a**2. Let d(i) = -133*i. Let c(j) = -7*j. Let l(o) = -77*c(o) + 4*d(o). Give l(w(h)). 21*h**2 Let x(f) = -1002*f - 1. Let s(i) = 2*i. What is s(x(p))? -2004*p - 2 Let j(o) = -11*o. Let x(z) = -8*z**2. What is j(x(f))? 88*f**2 Suppose -4*o = 9 - 21. Let p(c) = -8 + 11 - 3 + o*c. Let h(s) = 3*s + 5. Let n(a) = 4*a + 6. Let g(l) = -6*h(l) + 5*n(l). What is g(p(w))? 6*w Let k(j) = -15*j. Let v(r) = 2. Let z(n) = n + 7. Let o(d) = -7*v(d) + 2*z(d). Calculate k(o(m)). -30*m Let g(y) = 3*y**2 - 2*y + 2. Let n(f) = -10*f**2 + 7*f - 7. Let w(c) = 21*g(c) + 6*n(c). Let k(t) = -4*t. What is k(w(o))? -12*o**2 Let k(x) = 2*x. Let n(f) be the second derivative of f**3/6 - 2*f. Let v(g) = 7*g. Let l(u) = -4*n(u) + v(u). Calculate l(k(c)). 6*c Let t(f) be the second derivative of f**5/60 - f**3/6 + 3*f. Let n(h) be the second derivative of t(h). Let j(p) = 3*p + 0*p - 6*p. What is n(j(c))? -6*c Let p(y) = -y. Let u(t) = t**3 - 4*t**2 - 4*t - 3. Let n be u(5). Let m(w) = -w + 13. Let o be m(9). Let k(f) = 0*f**2 + 2*f**n - o*f**2. Calculate k(p(j)). -2*j**2 Let q(p) = -13*p**2 + 250 - 250. Let s(o) = 2*o. Calculate q(s(v)). -52*v**2 Let g(h) be the first derivative of -4*h**3/3 + 19. Let w(j) = 8*j + 5. Let n(v) = 7*v + 4. Let t(p) = -5*n(p) + 4*w(p). What is t(g(i))? 12*i**2 Let c(p) = p**2. Let n(g) = -7*g. Let t(q) = 34*q. Let h(b) = 33*n(b) + 6*t(b). What is h(c(i))? -27*i**2 Let r(u) = 9*u**2 - 5*u - 5. Let x(n) = 14*n**2 - 8*n - 8. Let t(b) = -8*r(b) + 5*x(b). Let g(l) = -2*l**2 - 9*l + 9*l. Calculate t(g(j)). -8*j**4 Let h(i) = 10*i**2. Let f(c) = -7*c + 6. Let g(q) = 15*q - 13. Let z(a) = -13*f(a) - 6*g(a). Give h(z(b)). 10*b**2 Let p(r) = -2. Let u(b) = -5*b - 6. Let z(w) = 3*p(w) - u(w). Let x(a) = -2*a**2. Give z(x(n)). -10*n**2 Let f(a) = 2*a**2. Let s(t) = -11*t**2 - 5*t + 5. Let g(n) = 16*n**2 + 8*n - 8. Let q(w) = -5*g(w) - 8*s(w). What is f(q(v))? 128*v**4 Let u(y) = 4*y**2. Let r(q) = 674*q**2. Give u(r(f)). 1817104*f**4 Let g(j) = -j. Let t(h) = -8996*h. Calculate g(t(c)). 8996*c Let c(x) = 2*x. Let k(d) be the third derivative of 5*d**2 + 0*d**3 + 0 + 0*d**4 + 0*d + 1/60*d**5. Calculate k(c(z)). 4*z**2 Let i(n) be the third derivative of -n**7/5040 + n**5/12 - n**2. Let x(r) be the third derivative of i(r). Let j(w) = 4*w. Give j(x(d)). -4*d Let g = -79 - -132. Let k(a) = -g + 2*a**2 + 53. Let i(m) be the second derivative of m**4/12 + m. What is k(i(p))? 2*p**4 Let b(n) = -12*n**2 - 15*n**2 + 26*n**2. Let k(g) be the first derivative of g**2 - 2 + g**2 + 3. Calculate b(k(q)). -16*q**2 Let t(c) = 3*c**2. Let m(y) be the third derivative of -y**5/30 - y**2 - 32. Give t(m(q)). 12*q**4 Let j(v) = 162*v**2. Let z(p) = 5*p. What is j(z(d))? 4050*d**2 Let m(g) = 6*g + 1. Let r(k) = k**2 + 94. Calculate r(m(w)). 36*w**2 + 12*w + 95 Let h(k) = -6*k**2 - 4*k - 4. Let q(d) = 7*d**2 + 5*d + 5. Let l(r) = -5*h(r) - 4*q(r). Let f(z) = 9*z**2. Determine l(f(v)). 162*v**4 Let t(i) = 75*i. Let q(y) = -5*y. Calculate t(q(g)). -375*g Let p(k) = 3*k**2 + 4. Let i(z) = 2*z**2 + 3. Let c(w) = 4*i(w) - 3*p(w). Let o(v) = -10*v + 1 + 0 - 1. Calculate c(o(f)). -100*f**2 Let p(l) = -7155*l**2. Let t(w) = -2*w**2. What is t(p(n))? -102388050*n**4 Let p(c) be the second derivative of 0 + 3*c + 0*c**3 - 1/2*c**2 - 1/12*c**4. Let l(d) be the first derivative of p(d). Let z(r) = 2*r**2. Give l(z(b)). -4*b**2 Let y(x) = -4327*x - 2. Let i(d) = -3*d**2. Determine i(y(q)). -56168787*q**2 - 51924*q - 12 Let p(b) = -5*b. Let z(g) = 474*g. What is z(p(x))? -2370*x Let m(n) = -n. Let o(v) = 165 - 165 - 2*v. Give m(o(r)). 2*r Let m(g) = -17*g. Let q(b) = -7*b. Give q(m(r)). 119*r Let i(x) = x**2 - x - 1. Let k(t) = -2*t - 2. Let a(l) = 2*i(l) - k(l). Let z(n) = -5*n. Let h(q) = -119*q. Let r(s) = 2*h(s) - 49*z(s). Give r(a(u)). 14*u**2 Let i(x) = 186*x. Let o(q) = -2*q. Determine i(o(b)). -372*b Let c(x) = -x**2 + 5482. Let p(a) = a. Give p(c(k)). -k**2 + 5482 Let j(d) = 2*d + 6*d + 2*d - 7*d. Let y(m) = 16*m**2. Give j(y(z)). 48*z**2 Let y(p) = p. Let g(u) be the third derivative of 3*u**5/20 + 6*u**2. Calculate y(g(m)). 9*m**2 Let u(i) = i + 3. Let b be u(-8). Let p = b - -7. Let q(x) = -3*x**p - 3*x**2 + 4*x**2. Let m(z) = 2*z**2. Give m(q(r)). 8*r**4 Let h(z) be the second derivative of -z**4/4 - 2*z. Let k(q) = 1. Let c(l) = -3*l**2 + 9. Let f(j) = -c(j) + 9*k(j). Calculate h(f(w)). -27*w**4 Let h(j) = 3*j**2 + 7*j + 7. Let y(s) = -3*s**2 - 6*s - 6. Let t(n) = -6*h(n) - 7*y(n). Let p(g) = 52 + 2*g**2 - 52. What is t(p(d))? 12*d**4 Let c(f) = -5*f**2 - 17*f - 17. Let t(n) = 2*n**2 + 6*n + 6. Let m(a) = 6*c(a) + 17*t(a). Let h(d) = -2*d**2. What is m(h(g))? 16*g**4 Let m(x) = -2*x - 40. Let n(g) = g. Determine m(n(w)). -2*w - 40 Let y(w) = -3*w. Let p(s) be the first derivative of s**5/60 - 2*s**3/3 + 1. Let d(u) be the third derivative of p(u). What is y(d(j))? -6*j Let l(h) = -10 + 6 + 4 - 2*h. Let u(b) = 3*b. Determine u(l(v)). -6*v Let f(v) = 2*v. Let o(b) = 1. Let u(n) = -7*n + 1. Let h(t) = o(t) - u(t). What is f(h(l))? 14*l Let r(b) = 4*b**2. Let c(i) = 63*i**2. Let j(a) = 4*c(a) - 66*r(a). Let g(p) be the first derivative of p**2/2 + 2. Calculate j(g(f)). -12*f**2 Let o(l) = -5*l**2. Let f(r) be the third derivative of r**5/20 + 11*r**2. Calculate f(o(a)). 75*a**4 Let j(m) = -2*m + 10. Let w(s) = -18*s. Determine j(w(x)). 36*x + 10 Let s(p) = 24*p**2. Let y(x) = -13*x. What is y(s(k))? -312*k**2 Let w(a) = 2*a. Let l(j) = j**3 + 3*j**2 - 2*j - 2. Let n be l(-3). Suppose 3*h - n = 2. Let k(r) = -6 + 2*r**2 + 6 + 2*r**h. Calculate w(k(f)). 8*f**2 Let j(v
{ "pile_set_name": "DM Mathematics" }
9*v + 50*v)*(-4*v**2 - 2*v**2 + 2*v**2) + 0*v**3 + 0*v**3 - 2*v**3 + (-3*v**2 + 3*v**2 - v**3)*(3 + 1 - 1) + 2*v**3 - 2*v**3 - 6*v**3. -63*v**3 Expand (2 + 2 - 3)*(2*b + 2*b**2 - 2*b)*(-2754*b**2 - 2001*b**2 + 3887*b**2). -1736*b**4 Expand (-15*f**4 + 13*f**4 - 41*f**4)*(-4*f - f + 2*f - 5*f + 4*f - f + f - 2*f - f + (-4 - f + 4)*(3 + 2 - 6) - 3*f - f + 3*f). 301*f**5 Expand (-5*b + 2*b + 0*b)*((-1 + 4 - 2)*(2*b - 2*b - b) + 465 - 465 + 71*b - 46 - 6*b + 46 + (b - 3 + 3)*(1 + 2 - 4)). -189*b**2 Expand (-10*i**4 + 5*i**4 + 11*i**4)*(-2*i + 1 - 1 + 2*i + 1 - 1 + (4*i - 3*i - 2*i)*(-3 + 1 + 1) + (0*i - 5*i + 2*i)*(45 - 149 - 19)). 2220*i**5 Expand (6*h - 2*h - 3*h)*(1 - 1 - 2) + 5 + 6*h - 2 - 2 - 17*h - 132*h - 481*h. -626*h + 1 Expand 2*m**3 + 2*m**2 + m**3 - 4*m**3 + (-233 + 233 - 18*m**2)*(10*m + m - m). -181*m**3 + 2*m**2 Expand (1 - 1 + 1)*(-3*o - 1 + 1)*(0*o + 2*o - o) + 0*o**2 - 4*o**2 + 3*o**2 + (3*o - 5*o - 2*o)*(o - 2*o + 5*o) - 4 + 4 + 2*o**2. -18*o**2 Expand -1 + 20*p + 0 - 13*p + (-354 - 33*p + 354)*(3 - 3 - 2) + 2 - 2 - 2*p. 71*p - 1 Expand (-c**2 - c + c)*(-2*c + 2*c**3 + 2*c) + 1183*c**5 - 1189*c**5 + 5*c + c. -8*c**5 + 6*c Expand (-16*f**2 + f**3 + 7*f**2 + 11*f**2 - 43 + 4*f**4)*(f + 2 - 2). 4*f**5 + f**4 + 2*f**3 - 43*f Expand (0*m - 4*m + 2*m)*(-3*m - 4*m + 2*m) + (-4 + 3 + 2)*(165*m - 165*m - 15*m**2). -5*m**2 Expand ((-2 + 0 + 1)*(-1 - 2 + 1) + 6 - 2 - 3 - 2 - 2 - 1 + 3 + 7 - 6 + 0 - 2 + 3 + 4 - 1 - 5 + (1 + 0 + 1)*(-3 - 3 + 5))*(-7*i + 2*i - 4*i). 9*i Expand (0*d + 2*d + 0*d)*(-23 - 34 + 690*d - 691*d). -2*d**2 - 114*d Expand (-2*n + 4*n + 3*n)*(12*n - 52*n - 258*n). -1490*n**2 Expand (3*f - f - 4*f + (3 - 5 + 0)*(-1 + 1 - 3*f) - 42*f + 193*f + 207*f)*(-8*f + 3*f - 5*f). -3620*f**2 Expand ((21*n - 8*n - 4*n)*(1 + 2 - 2 + (6 - 1 - 3)*(1 + 1 + 0) + (-2 + 0 - 3)*(1 - 1 - 1) + 3 - 1 + 0) - 19*n + 55*n + 58*n)*(-n**3 + n**3 + n**3). 202*n**4 Expand (2*w - 2*w + w)*(1736 + 2*w + 221 - 3*w + 365). -w**2 + 2322*w Expand ((-l + 2*l - 3*l)*(3 - 3 - 4) + l + 2*l + 0*l)*(-3 - 1114*l**2 - 5 + 1109*l**2). -55*l**3 - 88*l Expand (3*r**2 - 2*r**2 - 4*r**2)*(-3*r + 3*r + 8*r**2) + (112*r**2 - 112*r**2 - 92*r**3)*(-6*r + 4*r + 4*r) + 2*r**4 - 1 + 1. -206*r**4 Expand (-4*g**3 + 2*g**3 + 0*g**3)*(1 + 2 - 1)*(27 + 8 + 10)*(-1 + 3*g**2 + 1 + 5*g**2 - g**2 + 0*g**2 + (2*g - 2*g + 2*g)*(2*g - 3*g + 2*g)). -1620*g**5 Expand (-5 + 1 + 5)*((0*p**3 + 11*p**3 - p**3)*(-2*p**2 + p**2 - 3*p**2) + 33*p**5 + 119*p**2 - 119*p**2). -7*p**5 Expand (-2*m**3 - 2*m**3 + 2*m**3)*(1 + 5 - 5)*(1 + 4 - 2)*(13 - 16 - 6)*(-155 + 261 - 140). -1836*m**3 Expand (-1 + 2 - 3)*(s**3 - s**3 + s**3) - 98859*s**3 + 39 + 55582*s**3 + 40 - 79 - 70119*s**3. -113398*s**3 Expand (-3*w**2 - 29999*w + w**2 + 30361*w)*(3 - 4 + 4). -6*w**2 + 1086*w Expand (-4 - 5 + 5)*(-47*u + 36*u - 152*u)*(1 + 0 + 0). 652*u Expand (-11*b - 11*b**3 + 11*b)*(2*b + 94076 - 94076 - 23*b**2). 253*b**5 - 22*b**4 Expand (-51*t + 30 - 30)*(2 + 2*t**4 - 2 + 4*t + 2*t**4 - 4*t + (5*t**3 - t**3 - 5*t**3)*(0 + 0 - 2*t) + 2*t**4 + t**4 - 2*t**4 - 25*t**4 + 78*t**3 - 78*t**3). 918*t**5 Expand (-1 - i**2 + 1)*(-1184*i**2 - i - 1183*i**2 + 2376*i**2 + 232*i**3). -232*i**5 - 9*i**4 + i**3 Expand (13791*d**2 - 13804*d**2 - 3*d + 11*d)*(26*d - 26*d + 15*d**2). -195*d**4 + 120*d**3 Expand 304894 - 5704*d**2 - 304894 + (-2*d + 0*d + d)*(2*d - 2 + 2). -5706*d**2 Expand (-5 + 3 + 1 - 20 - 1 + 6 + (18 - 65 - 55)*(-3 + 2 + 3))*(5*o - 2*o - 2*o). -220*o Expand (41*u + 1226*u**4 - 41*u - 5420*u**4)*(-2 + 4 + 0). -8388*u**4 Expand (-b + 5*b + 3*b)*(36 - 74 + 10)*(3*b + 2*b - 3*b)*(-4 + 0 + 5). -392*b**2 Expand (10*a**2 - a**2 + 6*a**2)*((4 + 5*a - 4)*((-1 + 3 - 3)*(-a + 3*a - 3*a) + a - a - 2*a) - 22*a**2 + 23*a**2 + 48*a - 4*a). -60*a**4 + 660*a**3 Expand (-59 + 251 + 167*x**2 - 192 + 88*x)*(0 + 3 - 1). 334*x**2 + 176*x Expand (2932 - 504 + 133230*x - 133231*x)*(-3 + 3 - 1). x - 2428 Expand (1 - 7 + 2)*(-14*u**2 + 5*u - 5*u) - u**2 - 1 + 4 - 63*u + 59*u + (-5 + 4 + 3)*(-3 - 2*u**2 + 3). 51*u**2 - 4*u + 3 Expand (2*v - 2*v - 4*v**2)*(-v**2 + 3*v**2 + 4*v**2) + 113*v**4 + 129*v**4 - 160*v**4. 58*v**4 Expand (-18*t**2 + 78*t + 17*t**2 + 20*t)*(t**2 - 5*t**2 + 2*t**2). 2*t**4 - 196*t**3 Expand (-1 - 3*i + 1)*(2*i**3 + 2*i - 2*i) + 594*i**4 - 144*i**4 + 350*i**4 - 2*i**4 + 3*i**3 - 3*i**3 - 1. 792*i**4 - 1 Expand (3*p**2 + 0*p**2 - 2*p**2)*(-2*p**3 + p**3 + 3*p**3) + 850*p + 90*p**5 - 21*p**5 - 841*p. 71*p**5 + 9*p Expand (0 - 3 + 4)*(-3130 + 4444 - 3905)*(2*s - 5*s + 2*s). 2591*s Expand (-797*c**2 + 149*c**2 - 796*c**2)*(-c + 0*c + 2*c) - 4*c**3 + 4*c**2 + 4*c**3 + c**3. -1443*c**3 + 4*c**2 Expand 49*b**4 - 49*b**4 - 33*b**4 + (0*b**3 - 5*b**3 + b**3)*(4*b + 4*b - 5*b) + (-1 + 2*b**2 + 1)*(-b**2 + 0*b**2 + 0*b**2) + 4*b**4 - 5*b**4 - 4*b**4. -52*b**4 Expand -1 + 1 - i**2 + (3 - 3 + 2*i)*(3*i + 3*i - 4*i) + 0*i + 2*i**2 + 0*i + 2078846*i + 10334*i**2 - 2078846*i. 10339*i**2 Expand (30 + 25*x - 30)*(0 + 0 - 1)*(-3 - 3 + 5) + 1470*x - 2069*x + 2009*x. 1435*x Expand -179*b + 179*b + 6*b**2 + (b + 0*b + b)*(-42 + 18*b + 42) + 0*b**2 - 2*b - 4*b**2 + 3*b**2 + (b + 2*b - b)*(b + 0*b + b) + 1 - 1 + b**2. 46*b**2 - 2*b Expand (513 - o - 168*o**2 - 513)*(-o + o + 2*o)*(2*o**2 - 2*o + 2*o). -672*o**5 - 4*o**4 Expand (2*q - 2*q - 2*q)*(-146910 + 146910 + 285*q). -570*q**2 Expand (9*p**3 - p**3 - 3*p**3)*(10 - 36 - 63)*(-5 + 1 + 2)*(4 + 0 - 2). 1780*p**3 Expand -25*r**2 + 11*r**2 - 9*r**2 + (243 - 25*r - 243)*(1 + 2*r - 1). -73*r**2 Expand (-208*g**3 - 81*g**3 - 30*g**3)*(-g + 0*g - g)*(3 - 9 - 8). -8932*g**4 Expand (10*a**2 + 3*a**2 - 2*a**2)*(2*a - 2*a + a)*(-18 - 10 + 20 - a). -11*a**4 - 88*a**3 Expand (-r + 5*r - 2*r)*(4 - 4 + 2 + (3 - 2 - 2)*(2 - 6 + 2) + 1 + 6 - 5)*(7*r + 1 - 9*r - 5*r). -84*r**2 + 12*r Expand 2*b + 2*b + 2*b + (5*b + 5*b - 3*b)*(4 - 5 + 2) - 69*b - 57*b + 50*b. -63*b Expand -2626*c - 3375*c - 1348*c + (-1 + 3 + 0)*(-5 + 5 + 2*c) + 2*c + 5 - 5 + 0*c + 3*c - c. -7341*c Expand (4*q - 3*q + 8*q)*(-6 + 4 + 3)*(-776 - 14 - 395). -10665*q Expand (494*r + 2901*r + 206 - 206 + 2308*r)*(1 - 3 + 0). -11406*r Expand -a**5 - 3 + 3 + 0*a**5 - 19*a**3 + a**5 + 14*a**3 + 3 - a**5 - 3 + (-1293 - 137*a**2 + 1293)*(-3*a**2 + 3*a**2 + a**3). -138*a**5 - 5*a**3 Expand (-3*x - 3*x + 4*x)*(9174*x - 4188*x + 6859*x). -23690*x**2 Expand (6 - 5 - 16)*(2*l**2 - 4*l**2 + 0*l**2) + 2*l**2 - 5*l**2 - 2*l**2 - 3*l**2. 22*l**2 Expand -h**3 + 5*h**3 - 2*h**3 + (-h - 2*h + h)*(2*h**2 - 3*h**2 - h**2) - 2252*h**3 + 1129*h**3 - 49*h + h**2 + 1119*h**3. 2*h**3 + h**2 - 49*h Expand (-3224 + 3224 + 438*j)*(0*j**2 + 0*j**2 - 3*j**2). -1314*j**3 Expand (3*f - 3*f - 5*f)*(9*f - 9*f + 8*f)*(-2 - 1 + 1)*(-3 - 2 - 16)*(2 - 1 + 2). -5040*f**2 Expand ((y**2 + y**2 + 0*y**2)*(4 - 3 - 2) - 3*y**2 - y**2 + 5*y**2)*(20 - 27 - y**3 - 15). y**5 + 22*y**2 Expand (-i**4 + 3*i**3 - 3*i**3)*(-85 + 4*i + 25 - 16*i + 34). 12*i**5 + 26*i**4 Expand (-306 + 643 - n - 76)*(2*n + 2 - 2)*(5 - 4 - 3). 4*n**2 - 1044*n Expand (g - 2*g**2 - g)*(27350*g - 2 - 6512*g + 2). -41676*g**3 Expand (-6*m + m - 4*m)*(-2 - 1 + 5)*(22*m + 5*m - 17*m). -180*m**2 Expand (-3*z**3 + 3*z**3 + 4*z**4)*(-5 + 4 + 2)*(-2177*z - 2 + 2103*z + 0). -296*z**5 - 8*z**4 Expand (-3 + 5 + 0)*(17673*z + 7399481 - 7399481) - z + 2*z + 0*z + (-1 + 1 - z)*(-3 + 4 - 3) + 2*z - 2*z - z. 35348*z Expand (-64 + 12623*j - 65 - 67 + 196)*(-3*j**2 + 6*j**2 + 0*j**2). 37869*j**3 Expand s**5 + 0*s**5 - 3*s**5 + (s**4 - 11*s**4 - s**4)*(969 - 969 + 85*s). -937*s**5 Expand (2 + 1 - 1 + 5)*(2959*o**4 - 2249*o**4 - 2*o**2 - o**2). 4970*o**4 - 21*o**2 Expand (4 - 5 + 6)*(3 + 2 - 3)*(-o + 13*o + 24*o) + (-3 + 2 + 4)*(4*o - 4*o - o). 357*o Expand (8*a + 2*a + 17*a)*(-2*a - 2*a + 5*a)*(-1 - 3 + 3). -27*a**2 Expand (-53 - 3*c**3 + 53)*(-85*c + 0 + 248*c - 1) + 4*c**4 - 2*c**4 - 4*c**4. -491*c**4 + 3*c**3 Expand (37*d**3 - 83*d**3 - 51*d**3)*(-13*d**2 + 6*d**2 + 3*d**2) - d**5 - 4*d + 4*d. 387*d**5 Expand (1 + 0 + 1)*(-2172 - 10*r**2 + 2172 - 41*r). -20*r**2 - 82*r Expand (24110 + 142*s - 24110)*(s**2 + 2*s**2 - s**2 + (4*s**2 - 5*s**2 - 3*s**2)*(1 + 0 - 4) + s**2 - 2*s**2 + 0*s**2). 1846*s**3 Expand (u**4 - u**4 + 2*u**4)*(3*u + u - 2*u) + 123*u**5 + 195*u**5 - 395*u**5. -73*u**5 Expand 9*q**3 - 6*q**3 + 15*q**3 + (4 - q - 4)*(-3*q**2
{ "pile_set_name": "DM Mathematics" }
s - s - 10 = 0, -36 = -x + 2*s. Calculate the highest common divisor of 80 and x. 16 Let f = 36 - 3. Suppose -4*o - 3*a - 32 = 0, -3*a - 19 = 3*o + 2. Let g = f + o. What is the greatest common factor of 33 and g? 11 Let y(a) = -a**3 + 11*a**2 + a + 5. Let s be y(11). Calculate the highest common factor of 112 and s. 16 Let n(q) = q**3 + 2*q**2 - 2*q - 1. Let m be n(-2). Let t(i) = -i**2 + 5*i - 3. Let r be t(m). Let w = r + -1. Calculate the highest common factor of w and 16. 2 Let w(p) = -p**3 + 3*p**2 + p - 3. Let s be w(3). Suppose s = -q + 2 - 0. What is the greatest common factor of 4 and q? 2 Suppose -11 = -5*c + 9. Calculate the highest common divisor of 20 and c. 4 Suppose 3*z + 2*w - 59 - 9 = 0, 2*z - 4*w - 72 = 0. Calculate the highest common factor of 104 and z. 26 Let p(s) = -2*s - 5. Let t be p(-4). Let f(l) = l**3 - l**2 - 4*l + 3. Let n be f(t). Let b be 6/n - 100/(-3). Calculate the highest common divisor of 51 and b. 17 Suppose -13*i + 1666 = -1194. Calculate the greatest common divisor of i and 20. 20 Suppose -f - 4 = -0*f, 4*a + 2*f = 32. Calculate the highest common factor of 70 and a. 10 Let j be (-1 - (3 - 3)) + 3. Suppose -j*g + 7 = 1. What is the greatest common divisor of 9 and g? 3 Let j = -20 - -69. Suppose 66 + 49 = -5*k. Let i = -16 - k. Calculate the greatest common divisor of j and i. 7 Let t(a) = -a**2 - 4*a + 3. Let c be t(-4). Calculate the greatest common divisor of c and 9. 3 Let b be 2/(-10)*-5 + 23 + 1. Calculate the highest common divisor of b and 225. 25 Suppose 2*r - 409 = -133. Suppose 0 = 3*h - r + 48. Calculate the greatest common factor of h and 6. 6 Let h(x) = x**3 - 6*x**2 - 6*x + 6. Suppose 0*y + 14 = 2*y. Let d be h(y). Calculate the highest common factor of d and 104. 13 Suppose d + 1 = a - 0*a, -3*d = 3*a - 3. Suppose d = -2*x - 2*x + 3*u - 36, 0 = -2*x + 3*u - 12. Let f = 56 + x. What is the highest common factor of 11 and f? 11 Let s(a) = a**2 - a. Let x be s(3). Let k be -2*(4 - 69/6). Calculate the greatest common divisor of k and x. 3 Let c = -8 + 17. Let a = 14 - c. What is the highest common factor of a and 45? 5 Suppose 19 = 4*a + a + f, 0 = -3*a + 4*f + 16. Let q be (-4)/(-6) + 138/9. What is the highest common divisor of a and q? 4 Let p(s) = 24*s + 1. Suppose 8 + 4 = 3*q. Let y = 6 - q. Let c be p(y). What is the greatest common divisor of c and 7? 7 Let v(x) = -1 - 2 + 2*x - 3 + 4. Let q be v(4). Suppose 2*d - 16 = -5*c, -q*d = -d - 5*c - 40. Calculate the greatest common divisor of 12 and d. 4 Suppose 0*i - 7 = s - 4*i, -s + 2*i - 1 = 0. Suppose s*j - 25 = -4*m + 16, 4*j - 20 = 0. What is the greatest common factor of m and 6? 2 Let n(d) = 2*d + 2. Let y be n(3). Let u = 16 - y. Suppose 0*q = -3*w - 2*q + 40, 0 = -4*w - 4*q + 56. Calculate the highest common divisor of u and w. 4 Let g(z) = -2*z - 6. Let c be g(-6). Suppose 11*p - 145 - 581 = 0. What is the greatest common divisor of c and p? 6 Let f(c) = -c**2 - 16*c - 10. Let a be f(-15). Calculate the greatest common factor of a and 1. 1 Suppose -t + 3*h - 1 = 1, 2*h = -3*t + 16. Calculate the greatest common divisor of 28 and t. 4 Let l(j) = -20*j - 5. Let p(s) = 10*s + 2. Let i(b) = -2*l(b) - 5*p(b). Let h be i(-3). Calculate the highest common factor of 12 and h. 6 Let v(s) = -s**2 + 24. Let q be v(0). Calculate the highest common factor of 3 and q. 3 Suppose -3*t + 4*x + 756 = 0, -t = -3*x - 69 - 188. What is the highest common divisor of t and 8? 8 Let c = 21 - 13. Let w = 41 + 31. Calculate the highest common factor of w and c. 8 Let u(s) = -6 - 8*s + 2*s + 2*s. Let z be u(-4). Let o = 13 - z. Calculate the greatest common divisor of o and 24. 3 Let v(f) = f**2 - 3. Let z be v(4). Let g = z + -6. Calculate the greatest common factor of 7 and g. 7 Let p = -52 + 117. Suppose -4*o + 325 = -9*o. Let v = o + 91. Calculate the highest common factor of v and p. 13 Suppose b - 3*j = 2*j + 19, 4*j = 5*b - 53. What is the greatest common divisor of b and 72? 9 Suppose 0 = -v + 5*v. Let q be (20/3 - v)*3. Let k be -9*(0 + (-10)/3). Calculate the highest common divisor of k and q. 10 Suppose 2*z - 12 = -0*z. Suppose z*k - 315 = k. Suppose 4*o - 38 + 2 = 0. Calculate the greatest common factor of k and o. 9 Let w be (-4 + 22)*2/2. Calculate the greatest common factor of 12 and w. 6 Suppose -3*t = -0*z - z - 13, -5*t - 3*z = -45. What is the greatest common factor of 4 and t? 2 Let h be (-175)/(-63) + 4/18. Let x be 9*(3 + -2 + h). Calculate the highest common divisor of x and 4. 4 Let y = -13 - -28. Calculate the greatest common divisor of y and 3. 3 Let q = -18 + 33. Calculate the greatest common divisor of 105 and q. 15 Suppose 2*p + k + 3 = 0, -p = k + 7 - 3. Let q = 63 - 61. What is the greatest common divisor of q and p? 1 Suppose c + 20 - 100 = 0. What is the greatest common factor of c and 32? 16 Suppose -4*m - 2*o + 848 = 2*o, 0 = -3*m - 2*o + 634. What is the greatest common factor of m and 30? 30 Let d = 449 + -269. Let k be 1*(1 + 79) - 1. Suppose 0*v - 59 = -3*v + c, k = 4*v - c. Calculate the highest common factor of v and d. 20 Suppose -23 = -5*i - 2*z, -i + z + 7 = 2*z. Let a be ((-2)/i)/(1/(-75)). Calculate the highest common factor of a and 10. 10 Suppose -3*j = 42 - 156. Calculate the highest common factor of 19 and j. 19 Let h(a) be the third derivative of -a**5/60 + 5*a**4/24 - a**3/3 - 4*a**2. Let t be h(3). Let m = t - 2. Calculate the highest common factor of m and 10. 2 Let x(w) = -w**3 + 19. Let z be x(0). Suppose -3*h + 5 = -z. Let b = 73 - 57. Calculate the highest common factor of h and b. 8 Let w(z) = 4*z**2 + 3*z + 3. Let g be w(-2). Let t = 219 - -22. Suppose -4*i - 198 = -2*x, -t = -3*x - 2*i + 24. What is the greatest common factor of g and x? 13 Let j(m) = 2*m - 10. Let t be j(8). Suppose t*z - z = -260. Let l be 2/(-8) + z/(-16). What is the highest common divisor of l and 9? 3 Let s(x) = x**3 - 18*x**2 + 15*x + 42. Let t be s(17). What is the highest common factor of 4 and t? 4 Let k(f) = -f**3 + 5*f**2 - 3*f - 2. Suppose -4*x + 3*u = -1, 3*x - 37 + 10 = -3*u. Let o be k(x). What is the highest common divisor of 1 and o? 1 Suppose 3*y = 5*q + 45, -7*q = -2*y - 3*q + 32. Let f be 46/4 + 5/y. Calculate the greatest common factor of 84 and f. 12 Let y be (40/(-32))/(2/16). Let a(x) = x**2 + 10*x. Let h be a(y). Suppose 3*l - 320 = -2*z - 69, 4*z + 8 = h. Calculate the greatest common factor of 17 and l. 17 Let d be 8/(-28) + 5/(-7). Let j be (-7 + 2)/(1*d). Calculate the greatest common divisor of j and 10. 5 Suppose -9 = z - 51. What is the highest common divisor of 21 and z? 21 Let n be (-234)/195*20/(-2). What is the greatest common divisor of 6 and n? 6 Let g(a) = a**3 + 8*a**2 - 14. Let n be g(-7). What is the greatest common divisor of 385 and n? 35 Let q(r) = r + 1. Suppose 5*n - 16 = -6. Let s be q(n). Suppose -4 - 44 = -s*a. What is the greatest common divisor of 4 and a? 4 Suppose -3*j + 27 - 6 = 0. Calculate the greatest common divisor of 77 and j. 7 Suppose 7*p - 4*p + 4*a + 6 = 0, -3*p + 3 = a. What is the highest common factor of 22 and p? 2 Let w(k) = 25*k - 10. Let l be (-1)/((-1)/(10*-1)). Let c = -3 - l. Let s be w(c). What is the highest common factor of 15 and s? 15 Let d(m) = -m**3 + 8*m**2 + m - 2. Let j be d(8). Calculate the greatest common divisor of j and 2. 2 Let s = -17 - -22. Calculate the highest common factor of 5 and s. 5 Let r be 13/3 - (-2)/(-6). Suppose r*d = d + 90. What is the greatest common divisor of d and 210? 30 Suppose 0 = -3*s - s + 28. Let x = 13 - s. What is the greatest common factor of 6 and x? 6 Let o be -4*1/(-6)*3. Let v be 1 - (0/(-1) + 2). Let n be -1 - v - (-28)/2. What is the greatest common divisor of o and n? 2 Let y = -783 - -791. Let i be (-1 + 2 - -1) + -3. Let d be -1 - 1 - i - -17. Calculate the highest common divisor of y and d. 8 Let v = 122 - 77. Calculate the greatest common divisor of v and 5. 5 Let b be (-512)/(-20) + 2/5. What is the highest common factor of b and 13? 13 Suppose 4*o + 2*v = -3*v + 95, 3*o = 2*v + 100. Let x be -6*(-3)/(3/5). Suppose -r + x = r. What is the highest common divisor of r and o? 15 Suppose -32 = -3*x - x. Let n be 214/10 - x/20. Suppose -4*y + 56 = -0*y. Calculate the highest common factor of y and n
{ "pile_set_name": "DM Mathematics" }
How many minutes are there between 2:17 PM and 4:27 PM? 130 What is 42 minutes before 6:36 PM? 5:54 PM What is 680 minutes before 6:32 PM? 7:12 AM What is 528 minutes after 1:52 AM? 10:40 AM How many minutes are there between 4:49 AM and 2:05 PM? 556 How many minutes are there between 2:54 PM and 7:49 PM? 295 What is 485 minutes after 7:46 AM? 3:51 PM What is 481 minutes after 4:08 PM? 12:09 AM What is 402 minutes before 10:47 PM? 4:05 PM What is 264 minutes after 11:27 AM? 3:51 PM How many minutes are there between 7:47 PM and 9:37 PM? 110 How many minutes are there between 3:34 AM and 3:22 PM? 708 What is 636 minutes before 7:12 AM? 8:36 PM What is 573 minutes before 9:34 PM? 12:01 PM How many minutes are there between 8:15 PM and 10:40 PM? 145 What is 646 minutes after 9:12 PM? 7:58 AM What is 398 minutes before 11:01 AM? 4:23 AM What is 253 minutes after 11:33 PM? 3:46 AM What is 137 minutes before 2:15 PM? 11:58 AM How many minutes are there between 6:13 AM and 8:49 AM? 156 How many minutes are there between 7:22 AM and 5:52 PM? 630 What is 145 minutes after 12:27 AM? 2:52 AM How many minutes are there between 5:52 AM and 12:36 PM? 404 How many minutes are there between 5:19 PM and 12:53 AM? 454 What is 572 minutes before 5:12 PM? 7:40 AM What is 583 minutes after 12:07 AM? 9:50 AM How many minutes are there between 6:57 AM and 6:06 PM? 669 How many minutes are there between 12:06 PM and 11:33 PM? 687 How many minutes are there between 1:57 AM and 3:14 AM? 77 What is 60 minutes before 5:18 PM? 4:18 PM What is 490 minutes before 5:23 PM? 9:13 AM What is 104 minutes before 7:47 AM? 6:03 AM What is 482 minutes before 11:12 PM? 3:10 PM How many minutes are there between 12:47 PM and 4:10 PM? 203 What is 305 minutes before 2:31 AM? 9:26 PM What is 342 minutes before 2:54 PM? 9:12 AM How many minutes are there between 6:24 AM and 5:28 PM? 664 What is 63 minutes before 3:39 AM? 2:36 AM How many minutes are there between 10:45 PM and 12:26 AM? 101 What is 719 minutes after 3:06 AM? 3:05 PM What is 517 minutes before 3:44 AM? 7:07 PM What is 458 minutes after 10:19 PM? 5:57 AM How many minutes are there between 8:57 AM and 1:50 PM? 293 What is 406 minutes before 7:42 AM? 12:56 AM What is 664 minutes after 5:19 AM? 4:23 PM How many minutes are there between 3:41 PM and 6:56 PM? 195 What is 430 minutes after 8:06 AM? 3:16 PM What is 715 minutes before 4:07 PM? 4:12 AM How many minutes are there between 1:00 PM and 3:16 PM? 136 How many minutes are there between 6:31 PM and 9:46 PM? 195 How many minutes are there between 3:03 AM and 4:44 AM? 101 What is 265 minutes after 7:10 PM? 11:35 PM What is 88 minutes after 12:10 PM? 1:38 PM What is 270 minutes after 4:49 PM? 9:19 PM What is 156 minutes before 2:00 PM? 11:24 AM How many minutes are there between 8:02 AM and 2:27 PM? 385 What is 373 minutes before 7:18 PM? 1:05 PM What is 42 minutes before 11:34 PM? 10:52 PM How many minutes are there between 9:53 AM and 2:51 PM? 298 How many minutes are there between 11:02 AM and 12:19 PM? 77 How many minutes are there between 11:31 AM and 7:23 PM? 472 How many minutes are there between 5:26 AM and 5:28 AM? 2 What is 171 minutes after 9:01 AM? 11:52 AM What is 624 minutes before 3:24 AM? 5:00 PM What is 710 minutes after 3:48 PM? 3:38 AM How many minutes are there between 3:28 PM and 5:38 PM? 130 What is 404 minutes before 11:40 PM? 4:56 PM What is 630 minutes before 8:29 AM? 9:59 PM How many minutes are there between 7:15 PM and 11:49 PM? 274 How many minutes are there between 1:19 PM and 2:07 PM? 48 What is 149 minutes after 9:15 PM? 11:44 PM What is 207 minutes before 3:13 AM? 11:46 PM What is 250 minutes after 7:09 AM? 11:19 AM What is 305 minutes before 10:54 PM? 5:49 PM How many minutes are there between 8:33 PM and 4:56 AM? 503 What is 254 minutes before 5:00 AM? 12:46 AM How many minutes are there between 5:06 AM and 7:45 AM? 159 How many minutes are there between 1:20 AM and 5:17 AM? 237 How many minutes are there between 5:04 PM and 6:33 PM? 89 How many minutes are there between 6:34 PM and 6:28 AM? 714 What is 639 minutes before 1:29 PM? 2:50 AM How many minutes are there between 7:16 AM and 8:19 AM? 63 What is 462 minutes before 11:48 PM? 4:06 PM What is 592 minutes before 2:45 AM? 4:53 PM What is 328 minutes before 12:21 PM? 6:53 AM What is 194 minutes after 3:50 PM? 7:04 PM How many minutes are there between 1:33 AM and 1:12 PM? 699 How many minutes are there between 7:24 AM and 2:22 PM? 418 How many minutes are there between 10:29 PM and 5:37 AM? 428 What is 204 minutes after 11:27 AM? 2:51 PM What is 117 minutes before 7:26 PM? 5:29 PM What is 10 minutes before 12:48 AM? 12:38 AM What is 697 minutes before 9:57 PM? 10:20 AM What is 503 minutes after 10:56 AM? 7:19 PM How many minutes are there between 4:45 AM and 10:12 AM? 327 What is 556 minutes before 8:17 PM? 11:01 AM What is 82 minutes before 7:18 PM? 5:56 PM How many minutes are there between 2:17 AM and 1:57 PM? 700 How many minutes are there between 11:37 PM and 11:27 AM? 710 How many minutes are there between 8:41 PM and 8:09 AM? 688 What is 676 minutes after 11:37 AM? 10:53 PM How many minutes are there between 8:37 AM and 3:37 PM? 420 What is 12 minutes before 10:05 PM? 9:53 PM How many minutes are there between 2:57 AM and 12:14 PM? 557 How many minutes are there between 2:13 PM and 3:20 PM? 67 What is 97 minutes after 3:11 PM? 4:48 PM How many minutes are there between 8:11 PM and 2:39 AM? 388 How many minutes are there between 2:19 AM and 1:29 PM? 670 What is 111 minutes after 3:23 PM? 5:14 PM How many minutes are there between 9:26 PM and 9:03 AM? 697 What is 524 minutes before 1:14 AM? 4:30 PM What is 111 minutes before 2:56 AM? 1:05 AM What is 283 minutes before 11:18 PM? 6:35 PM What is 539 minutes after 8:41 PM? 5:40 AM How many minutes are there between 6:26 PM and 2:09 AM? 463 How many minutes are there between 3:13 PM and 5:16 PM? 123 What is 371 minutes before 3:03 AM? 8:52 PM What is 552 minutes before 9:36 AM? 12:24 AM What is 481 minutes after 2:57 PM? 10:58 PM How many minutes are there between 12:26 AM and 5:03 AM? 277 How many minutes are there between 8:45 PM and 2:26 AM? 341 What is 406 minutes after 5:30 AM? 12:16 PM What is 634 minutes before 10:33 PM? 11:59 AM What is 172 minutes before 9:03 PM? 6:11 PM How many minutes are there between 8:29 PM and 11:33 PM? 184 How many minutes are there between 7:54 AM and 6:04 PM? 610 What is 646 minutes after 12:53 AM? 11:39 AM How many minutes are there between 1:56 PM and 3:53 PM? 117 What is 676 minutes after 12:27 PM? 11:43 PM How many minutes are there between 7:25 PM and 3:13 AM? 468 What is 217 minutes before 12:10 AM? 8:33 PM What is 428 minutes after 3:21 AM? 10:29 AM What is 195 minutes before 5:38 PM? 2:23 PM How many minutes are there between 11:37 AM and 8:32 PM? 535 What is 76 minutes after 7:36 PM? 8:52 PM How many minutes are there between 2:25 AM and 12:45 PM? 620 How many minutes are there between 4:50 PM and 9:01 PM? 251 What is 136 minutes before 10:55 PM? 8:39 PM What is 67 minutes after 11:12 PM? 12:19 AM What is 320 minutes after 6:52 PM? 12:12 AM What is 647 minutes before 4:02 PM? 5:15 AM How many minutes are there between 7:15 PM and 10:29 PM? 194 How many minutes are there between 6:15 AM and 5:12 PM? 657 What is 424 minutes after 2:13 AM? 9:17 AM What is 98 minutes after 2:41 PM? 4:19 PM How many minutes are there between 4:45 AM and 4:59 AM? 14 What is 144 minutes after 7:30 AM? 9:54 AM What is 289 minutes after 7:09 PM? 11:58 PM How many minutes are there between 8:04 PM and 7:13 AM? 669 How many minutes are there between 1:40 AM and 11:58 AM? 618 What is 546 minutes before 10:46 PM? 1:40 PM How many minutes are there between 8:24 PM and 1:44 AM? 320 What is 321 minutes before 9:35 AM? 4:14 AM What is 175 minutes before 3:48 PM? 12:53 PM How many minutes are there between 8:35 PM and 8:24 AM? 709 How many minutes are there between 2:58 PM and 8:30 PM? 332 How many minutes are there between 9:38 PM and 6:00 AM? 502 What is 423 minutes after 5:24 PM? 12:27 AM What is 304 minutes before 10:29 AM? 5:25 AM How many minutes are there between 5:24 AM and 3:13 PM? 589 How many minutes are there be
{ "pile_set_name": "DM Mathematics" }
- 4 - 6. What is r(5)? 5 Suppose -v = 2*v + 2*b + 15, b = -3*v - 18. Let z = 10 + v. Let m(x) = -3 + x + 3 - 1 + 0*x. What is m(z)? 2 Let o be (-48)/(-27) + 6/27. Let y(x) = -x**3 - 3*x**2 - x. Let k be y(-3). Let l(m) = -m**3 + 0 + 0*m**o - k*m**2 + 3. Calculate l(-3). 3 Let a(l) = l**2 + 4*l - 4. Let v(y) = y**2 - 7*y + 1. Suppose -10 = 2*q - 4*q. Let i be (-2)/q - (-64)/10. Let r be v(i). What is a(r)? 1 Let z = -89 - -86. Let x(s) = -s**3 - 4*s**2 - 2*s + 1. Calculate x(z). -2 Let h(k) = -2*k**2 + 6 - 8 - k**2 - k + 2*k**2 + 2*k**3. Give h(2). 8 Suppose 0*i = 2*i - 5*h - 5, -2*h = -4*i + 2. Let b = 0 - i. Let c(m) = 0 + m - 1 + b. Give c(-2). -3 Let s(i) be the second derivative of i**4/12 - i**3/3 - i**2/2 - i. Suppose 4*m - 5*q - 12 - 14 = 0, -5*q - 2 = 2*m. Determine s(m). 7 Let c(b) = b - 7. Let f be c(9). Let o(y) = -y**2 + 2*y + 1. Calculate o(f). 1 Let j(c) be the second derivative of -c**3/6 - 3*c**2/2 - 2*c. Let q(n) = 4*n + 10. Let r(b) = 7*j(b) + 2*q(b). What is r(1)? 0 Let f be (3/(3/4))/2. Let z(w) be the first derivative of 4 - 2 - 4 + 2*w + w**f. What is z(-4)? -6 Let d(g) = g**2 - g + 4. Let c be d(0). Suppose c*k - 18 + 6 = 0. Let r(p) = -3 + k - 7*p. Calculate r(-1). 7 Let v(z) = z**3 + 3*z**2 - 4*z - 2. Let k(f) = f**3 - 9*f**2 - 4. Let p be k(9). What is v(p)? -2 Let k(u) = -2*u**3 - 5*u**2 - 2*u + 3. Suppose -4*v = -2*i - 6, 4*v - 27 + 12 = 5*i. Give k(i). 18 Let u(d) = d**2. Let b(r) = r**3 + r**2 + 11. Let i(w) = -b(w) + 2*u(w). What is i(0)? -11 Let p(v) = -7*v**3 + 4*v**2 - 2*v. Let f(y) = -y**3. Let h(c) = 6*f(c) - p(c). Let d = -51 - -54. Give h(d). -3 Suppose -4*a + 9 = -a, -2*p - 2*a + 4 = 0. Let i(g) = 5*g**2 - 11*g**2 + 0*g**2 + g**2. What is i(p)? -5 Let t(j) be the third derivative of -j**6/120 + j**5/6 - j**4/3 - 7*j**3/6 + 10*j**2. Calculate t(9). 2 Suppose 4*p - 2*c + 6 = -0*c, -p - 3*c = 5. Let n be -1 - (p - (-2 - -2)). Let y(g) = 14*g - 1. Calculate y(n). 13 Let k(m) = -m**2 - 6*m. Suppose 0*p = -2*p + 16. Let y = p - 18. Let q be (5/(y/(-6)))/(-1). Determine k(q). 9 Let h(s) = s**3 + s**2 + 4. Let m(c) = -c**3 - 2*c**2 + c - 5. Let k(i) = 3*h(i) + 2*m(i). Suppose 0 = -3*g - 3*w - 27 + 6, 12 = -g - 2*w. Calculate k(g). -14 Let x(s) = -6*s + 3. Let p(j) = -j - 1. Let h(z) = 5*p(z) - x(z). Let i = 14 - 14. Calculate h(i). -8 Suppose 0 = -b + 3. Suppose 4*l + b = 23. Let g(c) = 0 + 2 + 15*c - 16*c. Calculate g(l). -3 Suppose -4*c = -2*c - 12. Suppose c*y - 3*y = -12. Let u(o) be the third derivative of o**4/12 + o**3/3 + 5*o**2. Determine u(y). -6 Let a(c) = -4*c**2 + 5*c - 6. Let i(r) = -r**2 + 2*r. Let b(m) = -a(m) + 3*i(m). Calculate b(0). 6 Let o = -5 - -7. Let k(g) = 10 - o*g + 9*g + 5. Let n(i) = -20*i - 44. Let v(u) = -17*k(u) - 6*n(u). What is v(-4)? 5 Let z(f) be the second derivative of -5/2*f**2 - 5*f + 0 - 1/20*f**5 - 7/12*f**4 - f**3. Calculate z(-6). -5 Let g = -1 + 1. Suppose 17 = 5*j - k, -5*j - k - 9 = -22. Let t(s) = 5*s + 3*s**2 - 2*s**2 + s**j + 4 - 2*s**3 - 6*s. Calculate t(g). 4 Let y(x) = -x. Let a be y(-3). Let s(q) = 5*q**2 + 10*q + 6. Let c(o) = 4*o**2 + 9*o + 6. Let u(v) = a*s(v) - 4*c(v). Give u(-4). 2 Let v(o) = 6*o + 5. Let w(a) = -7*a - 6. Let k(q) = 4*v(q) + 3*w(q). Let b(u) = -u**2 + 1. Let y be b(-2). What is k(y)? -7 Let w(y) = -y**2 + 3*y. Let j be w(3). Let c(r) = -r**2 + r - 4. What is c(j)? -4 Let h(n) = n**2 + 5*n + 3. Let f be h(-6). Let a(s) = -3*s + f*s - s**2 + 1 - 6. Determine a(4). 3 Let a(c) = c**3 - 6*c**2 + 5*c + 6. Suppose -4*r + 6 = -r. Suppose b + 4*b = 4*w - 55, 5*w - 3*b - 85 = 0. Suppose r*g + 2*g = w. Determine a(g). 6 Let n = 6 - 0. Let s(p) = -7*p**3 - 5*p**2 - 2*p + 4. Let v(q) = 6*q**3 + 5*q**2 + 2*q - 3. Let a(f) = n*v(f) + 5*s(f). Give a(-4). 10 Let f be 1 + -2 - (4 + -7). Let k be (9/6)/((-1)/f). Let q(i) = i - 3. Calculate q(k). -6 Let b(j) be the third derivative of -j**6/120 - j**5/12 - j**4/12 + 2*j**3/3 - j**2. Suppose t - 2*t = -2*m - 9, -4*t = m. Calculate b(m). -4 Let y(l) = -3*l**2 - 14*l + 10. Let p(t) = -t**2 - 5*t + 3. Let a(c) = 7*p(c) - 2*y(c). Give a(-3). 13 Let l(r) = -5*r**3 + 3*r - 1 - 1 + 3*r + r**2. Let t(y) = y**3 - y. Let q(h) = -l(h) - 4*t(h). Determine q(2). 2 Let y(z) = 3*z**2 - z. Let h(m) = m**2 - 1. Let u(i) = 4*h(i) - y(i). Suppose 0 = -3*t - 2*w + 6*w + 29, 0 = 3*t + w - 4. Determine u(t). 8 Let a(q) = q - q**3 + 2 - 5 - 3*q**2 + 2*q**2 + 0. What is a(0)? -3 Let q(i) = -4*i - 16. Let d be q(-5). Let z(w) be the second derivative of w**5/20 - w**4/6 - 5*w**3/6 - w**2/2 + 2*w. What is z(d)? 11 Let z(w) = -w**2 - 8*w - 6. Let v(d) = -4*d**2 - 33*d - 25. Let x(f) = 2*v(f) - 9*z(f). Let y(h) = 4*h**2 + 24*h + 16. Let a(g) = 9*x(g) - 2*y(g). Give a(-4). -4 Let t be (1 + 1)*(-1)/(-2 - -4). Let z(d) = -18*d**2 + d. Calculate z(t). -19 Let c(m) = 4*m + 1. Let z(t) = -12*t - 3. Let a(g) = -11*c(g) - 4*z(g). What is a(5)? 21 Let i(y) = 2*y**2 + 5*y - 1. Let a(n) = 5*n + 1. Suppose 3*j - 20 - 10 = 0. Suppose 17 = -5*t - 3*w, -3*t + t = -3*w - j. Let f be a(t). Give i(f). 11 Let f(a) = -a**2 - 2*a + 1. Let g be f(-2). Let x(t) = 4*t**3 + 2*t - 3. Let b(s) = 4*s**3 + s - 2. Let q(w) = 3*b(w) - 2*x(w). Give q(g). 3 Let q(s) = s**2 - 2*s - 3. Let b(o) = 4*o**3 - o**2 + 2*o - 1. Let x be b(1). Let r be q(x). Let j(i) = i**2 - 4*i - 6. Calculate j(r). -1 Let t(j) = 3*j**2 + j + 1. Suppose 6*i = 3*i - 6. Calculate t(i). 11 Let f(w) = w**2 - 7*w + 6. Suppose -4*s + 28 = -o - 0*o, -34 = -3*s + 4*o. Calculate f(s). 0 Let q(z) = z**3 - 2*z**2 - z + 1. Suppose 4*o + d = 4 + 5, 4*o - 5*d = 3. What is q(o)? -1 Let q(o) = 2*o - 3. Let u(m) = 9*m - 15. Let n(r) = -11*q(r) + 2*u(r). Calculate n(2). -5 Let r(f) = 11*f**2 + 14*f**2 + f**3 + 3 + 0*f**3 - 22*f**2. Give r(-3). 3 Let u = -4 + 6. Let y(i) = 3*i**2 - 3*i + 1. Let s(a) = a**2 + a - 1. Let j(c) = u*s(c) - y(c). Calculate j(3). 3 Let h(b) = 0 + 2 + 4*b**2 - 6*b + b**2 - b**3. Let s(u) = -7*u + 5. Let v(t) = 13*t - 9. Let r(x) = -11*s(x) - 6*v(x). Let w be r(-5). Determine h(w). -6 Let i(n) = -4*n**3 - 10*n**2 + 9*n + 16. Let v(t) = -3*t**3 - 10*t**2 + 10*t + 15. Let g(o) = 2*i(o) - 3*v(o). Determine g(-11). -2 Let g be -1*1*(0 - 0). Suppose 0 = y - 4*y - 3. Let t(b) = b**2 - b. Let o(k) = k**2 - 3*k + 4. Let j(a) = y*o(a) + 2*t(a). What is j(g)? -4 Let r(i) = -i**3 - 8*i**2 + 8*i - 13. Suppose 2*q = -14 - 4. Give r(q). -4 Let m = -3/11 - -20/33. Let x(w) be the third derivative of -m*w**3 + 0*w - 3*w**2 - 1/24*w**4 + 0. Calculate x(-2). 0 Suppose 9*m + 11 = g + 6*m, 0 = -5*g - 3*m - 17. Let q(l) = -4*l**2 - l - 2. What is q(g)? -5 Let s(x) = -2*x - 6. Let z be s(0). Let m(t) = t**3 + 6*t**2 - t - 4. What is m(z)? 2 Let a(q) = 2*q**2 + 3*q - 5. Let v(m) = 5*m**2 + 9*m - 14. Let i(g) = 11*a(g) - 4*v(g). Calculate i(3). 10 Let l(i) be the first derivative of -1 - 1/3*i**3 + i + 1/4*i**4 + 1/20*i**5 + 1/2*i**2. Let h(y) be the first derivative of l(y). Calculate h(-4). -7 Let c(l) = -l**2 + 1. Let m(u) = -2*u + 13. Let d be m(7). Let r(t) = -4*t**2 - 4*t. Let w(b) = d*r(b) + 3*c(b). What is w(-2)? -1 Let m be 2/(-10) - (-153)/(-85). Let p(f) = f**3 + f. Give p(m). -10 Let l(q) = 2*q**2 - 4*q - 3. Let y(w) = -w**2 + 3*w + 2. Let d(o) = 2*l(o) + 3*y(o). Give d(1). 2 Let n(p) = p + 6 + 5*p**2 + 13*p**3 - 8*p**3 - 2*p - 6*p**3. Determine n(5). 1 Let q(x) = -x**2 + 7*x + 4. Let u(r) = 3*r - 5. Let v be u(4). What is q(v)? 4 Let h(j) = -3*j**2 - 3*j + 7. Let m(w) = -2*w**2 - 2*w + 4. Let a(b) = 3*h(b) - 5*m(b). Give a(2). 7 Let c(j) be the second derivative of -j**5/20 - j**4/3 - j**3/3 - j**2/2 + 13*j. Give c(-4). 7 Let k(z) = -z**2 - 10*z - 7. Suppose u - 9*l = -4*l - 15, 2*u = -l - 8. Give k(u). 18 Let w(z) = -z - 1. Let i = 12 + -13. Give w(i). 0 Let k = -2 - -2. Let f(r) = r + k*r + 3*r**3 - 2*r**3 + 4. Suppose 4*u = 3*u - 0*u. Give f(u). 4 Let f(j) = -j**2 + 3*j + 2. Let i(c) be the second derivative of -c**4/12 - 4*c**3/3 + 3*c**2/2 - c. Let k be i(-8). Let m = 8 - k. Determine f(m). -8 Let o(u) = -u - 4. Let i be o(-9). Let a(j) = -2 - 2 - 2 - 8*j + i. Give a(1). -9 Let b be (3/5)/(17/85). Let f(l) be the first derivative of l**2/2 - 1. Determine f(b). 3 Let u(z) = -2*z + 1. Suppose 3*p + 2*r + 12 = 7, 0 = 2*p + r + 2. Determine u(p). -1 Let u(s) = s**3 - 3*s**2 + 2. Suppose 32 = -
{ "pile_set_name": "DM Mathematics" }
3 a factor of p? False Let y(h) = -h**2 + 5*h - 4. Let d be y(4). Suppose 3*m - 170 + 35 = d. Does 15 divide m? True Let q(m) = 9*m - 3. Let b be q(-3). Let c = 23 + 48. Let o = c + b. Is 14 a factor of o? False Let z(i) = -i**2 + 8*i - 9. Let t be z(6). Suppose 13 = 2*p - 5*h, -p = 2*p - t*h - 33. Is p a multiple of 4? False Let u = 3 + 2. Suppose -u*c + v + 99 = -117, -4*v = -4*c + 176. Is c a multiple of 18? False Let k = 6 - 3. Suppose k*x + 4*o = o + 9, -4*x - 28 = -4*o. Is (-176)/4*1/x a multiple of 11? True Let u(f) = f**2 - f. Let j(c) = c**2 + 0*c + 0 - 5*c**2 + 3*c - 4. Let b(a) = j(a) + 5*u(a). Is b(4) a multiple of 2? True Suppose 12 = -f - 5*z, -5*z + 1 - 7 = -2*f. Let n be f/5 - (-68)/20. Suppose 0*l + 39 = n*l. Is l a multiple of 5? False Let j(x) = -x**3 - 8*x**2 - 9*x. Let l = -5 + -2. Does 14 divide j(l)? True Is (-5656)/(-63) + (16/18)/4 a multiple of 13? False Let q(k) = -33*k + 9. Let c be q(7). Let y be c/(-8) - (-1)/4. Let a = y + 0. Is 12 a factor of a? False Let u(a) = 3*a - 4. Let j be (5 - 0)*(-2 + -3). Let k be (-2)/(-4) + j/(-10). Is u(k) even? False Suppose 0 = -m + 9 + 27. Is 5 a factor of m? False Let u(b) = -8*b. Is 10 a factor of u(-5)? True Let c = 6 - 4. Let d = -4 + c. Let u(a) = a**3 + 3*a**2 - 2. Is u(d) a multiple of 2? True Suppose -3*r + 14 = g - 6, 3*g - 5*r = -10. Suppose -4*n = -3*j - 71, 4*n = -0*n + g*j + 81. Is n a multiple of 14? True Suppose -5*w + 30 = 5. Let b be (-3)/3 - -13*w. Suppose 7*c - b = 3*c. Does 7 divide c? False Let d be (-2)/8 - (-21)/4. Suppose -d*n + 3*n = -68. Does 18 divide n? False Let z(g) = -5*g + 10. Let h = 7 - 14. Is z(h) a multiple of 7? False Does 9 divide ((-11)/(-2) - 4)*30? True Let g be (2 - 11)/((-3)/(-2)). Is (-50)/(-4) - 3/g a multiple of 13? True Suppose 0 = -k + 2*w + 134, -3*k + 0*w - 4*w + 452 = 0. Is 12 a factor of k? True Suppose -3*z + 6*z = 24. Let u be 1 - 1 - z/(-2). Suppose -c - 4*k = -11, u = -c - 2*k + 25. Is 12 a factor of c? False Let q be (-2)/(-3 - -1)*15. Suppose 89 = 4*h - q. Does 26 divide h? True Let f be 1 - 0 - 0/(-5). Let l(p) = 65*p**3 + p**2 + p - 1. Does 25 divide l(f)? False Let x(v) be the second derivative of -v**5/60 - 3*v**4/8 + v**3 - v**2 - v. Let c(k) be the first derivative of x(k). Does 21 divide c(-5)? False Suppose -5*p = 2*l + 3*l - 25, 0 = -3*p + 6. Let c(z) be the first derivative of 4*z**3/3 - 3*z**2/2 - z + 2. Is 9 a factor of c(l)? False Is (-3)/4*(-118 + -10) a multiple of 6? True Suppose 5*t - 400 = 5*x, 0*t = -t + 5*x + 68. Let v = t + -58. Is v a multiple of 9? False Suppose 5*v + 15 = -10. Suppose 0*z + 3*z - 39 = 3*p, 0 = 2*p + 6. Let r = z - v. Is r a multiple of 15? True Let d(l) be the second derivative of -l**3/6 - 3*l**2/2 + l. Let g be d(-8). Suppose g*i - 4 = 3*i. Is i a multiple of 2? True Suppose 3*x + 4*p - 1 - 3 = 0, 3*p + 26 = 5*x. Suppose x*l - l = 84. Is 14 a factor of l? True Let f be (-4)/14 + 80/(-14). Does 9 divide (4 - f)/(1/2)? False Suppose 2*r - 3*u - 8 = 0, 0*r - 4*u + 4 = r. Suppose 0 = r*q + q - 30. Does 2 divide q? True Let g(x) = 5*x**2 - 1. Let o be g(1). Suppose 0 = -o*j + j + 15. Suppose 14 = n - j*p, -4*n + 142 - 38 = 4*p. Is n a multiple of 12? True Suppose 3*p + 11 + 14 = r, -5*r + 125 = 4*p. Let f = 33 - r. Does 4 divide f? True Suppose -5*q + w + 4*w + 80 = 0, 4*q = 5*w + 69. Is 4 a factor of q + -5 + 4/(-2)? True Let l = -111 - -426. Suppose 6*m = m + l. Does 21 divide m? True Let h = 43 - 23. Does 20 divide h? True Let o = 83 - 31. Let u be -1 - 0 - (-3 - 2). Suppose 3*s = 5*n - o, n + 3*s - 12 = u*s. Does 4 divide n? True Suppose -2*r + 3 - 5 = 0. Does 20 divide r/(2/4) - -23? False Let i = -132 - -84. Let x = i + 92. Is x a multiple of 11? True Suppose -4*o - 16 = 5*n - 3, 3*o - 5*n - 34 = 0. Suppose o*j + h = 2*h + 58, j - 4*h = 12. Is 20 a factor of j? True Is 20 a factor of (45 - 4) + -3 + 2? True Suppose 81 - 12 = 3*x - 3*g, 122 = 5*x + 2*g. Is x a multiple of 6? True Let d(z) = -z**2 + 15*z + 11. Let g(r) = -r**2 + 16*r + 12. Let f(l) = 3*d(l) - 2*g(l). Let j be f(10). Let t = 63 - j. Does 12 divide t? True Suppose j - 3*j + 48 = 0. Does 12 divide j? True Suppose 12*d = 7*d + 280. Is 16 a factor of d? False Suppose 13*p - 8*p = 3*a - 46, 5*a + 5*p - 10 = 0. Is 3 a factor of a? False Suppose -l + 0 - 3 = 0. Let n = 16 - l. Does 8 divide n? False Suppose 3 = -p + 17. Suppose 5*w - m - p = 6, -5*w = 2*m - 5. Is 2 a factor of w? False Let n(p) = -p**3 + p - p**2 + 21 - 2*p + 0*p. Is 7 a factor of n(0)? True Suppose 0 = 4*n - 7*n. Is (42/15 - n)*10 a multiple of 14? True Let u(t) be the first derivative of t**4/4 + 4*t**3/3 + t**2/2 + 4*t - 5. Let r = -6 + 3. Is 5 a factor of u(r)? True Let w = -11 + 22. Let l(h) = h - 1. Let f be l(-6). Let c = f + w. Is c a multiple of 4? True Suppose -2*f - 3 = -5*f. Let q(g) = 28*g**2 + g - 2. Is q(f) a multiple of 27? True Let s(g) = -5*g - 1. Let l = -14 - -8. Is s(l) a multiple of 29? True Let p = 1 + -1. Suppose -3*u - u + 3*x = -142, p = u - x - 36. Is u a multiple of 17? True Let x be (-1)/1 - (-5 - -2). Suppose -x*q = -7*q - 125. Let t = 73 + q. Is t a multiple of 20? False Suppose 3*r - 4*t = -2*t + 5, 0 = -3*r + 3*t. Suppose -4*g - 5*v = 25, 0 = -r*g - 2*v - 2*v - 29. Let q(w) = -8*w - 3. Is 15 a factor of q(g)? False Let j(g) = -g**2 + 11*g - 10. Let t be j(8). Suppose -5*i + 4 - t = 0, 0 = 3*y + 5*i - 113. Is y a multiple of 21? False Let k(f) = 65*f**2 + 1. Let l be k(-1). Suppose 5*a - 39 = l. Is 21 a factor of a? True Suppose -y + 34 = -72. Is 14 a factor of (y/(-8))/((-1)/4)? False Suppose 4*c = 7*c - 15. Suppose 4*w = 0, -5*w + 270 = c*x + 65. Is x a multiple of 11? False Let r(d) = 18*d**2 + 2*d - 1. Let a be r(1). Suppose 0 = -w + 2*w - a. Is w a multiple of 19? True Let k(b) be the third derivative of b**4/2 - b**3/6 + 3*b**2. Is 11 a factor of k(1)? True Let q(y) = 13*y - 2. Is q(3) a multiple of 23? False Suppose 2*c + t = 6*t - 9, -4*c - 33 = 5*t. Let h(u) = -u**3 - 6*u**2 - 5*u - 8. Does 20 divide h(c)? False Suppose 0 = 3*f - 3*p - 186, 17 = 4*p + 5. Does 14 divide 1*1/(-1) + f? False Let p(f) = -4*f**2 - 6 + 31 + 3*f**2 + f. Does 25 divide p(0)? True Let y(n) = n**2 - 5*n + 6. Let j be y(4). Suppose m = j + 3. Suppose r + 28 = 5*v - 7, -3*r + 15 = m*v. Does 3 divide v? True Is 4/6 + (-2535)/(-45) a multiple of 19? True Let l(y) = y**2 - 3*y + 2. Let t be l(5). Let i = t - 24. Let o = i + 32. Does 7 divide o? False Let l(x) = -x**2 - 10*x - 3. Is l(-7) a multiple of 5? False Suppose -h = -r - 7, -4*h - r + 4*r + 26 = 0. Let x(w) be the third derivative of w**4/8 - w**3 + w**2. Does 4 divide x(h)? False Suppose -5*t + 0*y + 804 = -3*y, -2*y - 482 = -3*t. Does 18 divide t? True Let g(h) = 21*h**2 - h - 2. Let t be g(2). Suppose 3*w - 7*w = -t. Is w a multiple of 10? True Let s(o) = 4*o**2. Let k be s(-1). Let z = k + 19. Is z a multiple of 23? True Let u(j) = -j - 15. Let d be u(-7). Let m(v) = -v - 5. Is 2 a factor of m(d)? False Let j = 18 + -8. Is 18 a factor of 194/10 + (-4)/j? False Suppose -3*n - 92 = t + 3*t, -n + 3*t - 48 = 0. Is (-6)/(-8) - 2493/n a multiple of 14? True Let q = -38 + 62. Suppose q = c + c. Is 7 a factor of c? False Suppose -7 - 8 = -3*v. Suppose v*c + 15 = 0, 8 = 4*d + 4*c - 12. Is d even? True Suppose -b + 3*b + 4*s = 14, 0 = -3*b - 4*s + 21. Let r(a) = 3 + a**2 + 0 - 3*a + 1. Is r(b) a multiple of 16? True Let w(m) = m**2 + 11*m - 2. Does 7 divide w(-13)? False Let c = -26 + 39. Is 6 a factor of c? False Suppose -3*l + 1 + 5 = 0. Is 4 a factor of l/1 - 12/(-2)? True Let m(p) = -p**2 - 5*p - 4. Let t be m(-5). Let n = 10 + t. Suppose y - n*y = -100. Is y a multiple of 8? False Let q = 85 - 49. Does 18 divide q? True Suppose 5*c - 85 = -0*c. Let b = c - -7. Is 12 a factor of b? True Suppose 29 = 3*k - 46. Does 25 divide k? True Let f be (-762)/(-10) + (-1)/5. Let u = 7 + 1. Suppose -3*p = 4*q - f, -2*p + 4*p - u = 0. Is 6 a factor of q? False Let m be (3/(-2))/(3/(-80)). Suppose -f = 5 - m. Does 13 divide f? False Suppose 48 = -2*u - 0*u. Let s be ((-104)/6)/((-2)/6). Let q = u + s. Does 14 divide q? True Suppose 4*a - 20 = -a. Let i(d) = -17*d + 1. Let c be i(-2). Suppose -3*u = -c - a. Does 7 divide u? False Suppose 4*w - 2*k - 152 = 0, 5*k = 4*k - 4. Is w a multiple of 18? True Le
{ "pile_set_name": "DM Mathematics" }
et y = -4235 - -4235.1. What is the nearest to -2 in 1, y, 4/5? y Let z be 162/(-810) + (-22)/140*-4. What is the nearest to -2/5 in 7, z, 2, -4? z Let h = -26.25 + 24.5. Let o = -6.75 - h. Let l(f) = -f**2 - 3*f - 1. Let x be l(-2). What is the closest to x in -1/8, 0.3, o? 0.3 Let g = -102.9 - -61.6. Let a = g - -77.5. Let v = 36 - a. What is the nearest to v in -3/13, 1/4, 0.1? -3/13 Let t = -0.232117 + 0.332117. Let f = -0.3 + -0.2. What is the nearest to t in 3/5, -3/5, f, -3? 3/5 Suppose -3*l + 4*o - 20 = 0, -69*l = -66*l + o - 5. Which is the closest to l? (a) 2 (b) -2/9 (c) -3/19 (d) -0.3 c Let y = 3536.3 - 3535.9. What is the closest to -5 in y, 2/7, 16, 8? 2/7 Let o = 24/215 - -167/430. Let i = -4/25 + 26/475. Let q be 32/(-24)*3/2. Which is the closest to o? (a) 2 (b) q (c) i c Let v be (-2)/7 + (-18)/(-14). Let k = -1000417/5 - -200083. Which is the nearest to -2/7? (a) 0.5 (b) v (c) k (d) -0.1 c Let i be ((-4)/(-12))/(5/(-135)) - -10. What is the nearest to i in 2/9, 34, -3? 2/9 Let g be (((-32)/(-108))/(-4))/(3/8595). Let p = 212 + g. Let y = -133.1 - -133. Which is the nearest to p? (a) 0.3 (b) -2/3 (c) y c Let w = 2515 + -2514.5. Which is the nearest to -0.25? (a) w (b) -2/7 (c) 1/4 (d) -5 b Let n be 296/24 + -11 + (-26)/6. Let d = -0.18 - 0.02. Which is the closest to -2? (a) 0.2 (b) d (c) n c Let f = 11/252 + 13/63. Which is the closest to -0.5? (a) 4 (b) -0.2 (c) f (d) -4/17 d Let g = 30253 + -30266. What is the nearest to 0 in 3, -15, -2/17, g? -2/17 Let v = -17.6 + -97.4. Let n = -116 - v. Which is the nearest to -1/2? (a) -0.1 (b) -0.3 (c) n b Let x = 0 - -0.1. Let k = -25 - -24. Let j = -8955 - -134323/15. What is the nearest to x in -13, k, j? j Let x = -5940 - -5940.1. What is the nearest to x in -5, 0, -12, 5? 0 Let h be (-57)/(-133)*((-210)/(-81))/5. Which is the closest to 0.1? (a) h (b) -0.283 (c) 1/5 (d) -4 c Let c = 439 + -444. Let f = -11.1 - 0.9. Let z = -12.07 - f. What is the closest to 0.2 in -1/3, z, c? z Let q = -3/2 - -5/6. Let s = -2368.3 + 2368. Which is the nearest to q? (a) s (b) 2/5 (c) 0.5 a Let m = 0.15 + -11.65. Let l = 11 + m. Let x be (-4)/(-66) - (-58)/132. What is the closest to 1/4 in l, x, -0.4? x Let j = 9 - 5. Suppose -3 = -j*m + 3*m. Suppose -2*d = 4*f + 8, f - 2*d + 6 = 9. Which is the nearest to f? (a) -0.7 (b) m (c) 0.3 a Let y(s) = 5*s**3 - 9*s**2 + 2*s - 10. Let r be y(2). Which is the closest to 7? (a) r (b) 0.5 (c) 143 b Let t be -1*4 - (-180)/50. Let w be 58/12 + (0 + 2 - 6). What is the nearest to t in -13, w, 2? w Let p = 3025 + -3028. Let q = -2609/18 - -145. Let v be 0/1 + (-4)/(-10). Which is the closest to q? (a) -0.4 (b) v (c) p b Let o = 4333.8 - 4334. Let x = -6.7 - -7. What is the closest to -1/3 in -0.03, o, x? o Let b = -406069.0847 - -406016. Let l = -0.0153 + b. Let v = -53 - l. What is the closest to -2/5 in v, -0.5, -5? -0.5 Suppose 9*j - 180 = -14*j - 13*j. What is the closest to 27 in -4, -2/3, j, 2/15? j Let j(r) = r**2 - 61*r + 280. Let c be j(56). What is the closest to -0.1 in 0.3, 1.4, c? c Suppose 2*k - 7*k = 2*g - 13, 0 = 2*g - 2*k - 6. Let q be -3 + 3 - (-1)/g. Let x = -12.5 - -12.7. Which is the closest to x? (a) -0.4 (b) q (c) -3 b Let f = 82/3 + -1552/57. Which is the closest to 0.25? (a) 1 (b) -2/7 (c) f (d) 0.3 d Let h = -66.9 - -67. Let w = -325 - -320. What is the nearest to h in w, -1, 3? -1 Suppose 3*z + 3*a - 17 = -5, 6 = 2*a. Let m = 325 + -324.6. Let l = -0.5755 - -0.0755. What is the closest to l in z, -0.3, m? -0.3 Let s be (-4)/(-14) + 8 + 257/7. Suppose 0 = -32*g + s*g. Let t = 0.1 + -0.8. Which is the nearest to 0? (a) t (b) 4 (c) g c Let f = 8254/7 + -41403/35. Which is the nearest to 1.2? (a) 2 (b) 5 (c) f a Let n = 10 - 5. Suppose 3*z - 2*f = 10, -3*z - 5*f - 25 = -7*z. What is the closest to -5/3 in z, 0.1, n? z Let h = 136 - 52. Suppose -269 = -5*y - h. Suppose 3*p + 22 = y. Which is the closest to -2? (a) -1 (b) -7 (c) p a Let g = 8258 + -8255. What is the closest to -0.1 in g, 0, -12? 0 Let p = -1448.67 - -1457. Let c = p + -6.43. What is the nearest to 2/15 in 2, c, 2/7? 2/7 Let o = 11 - 6. Let d = -14953.0383 + 14954. Let w = d - -0.0383. Which is the closest to w? (a) 0.03 (b) -4/3 (c) o a Let i = 137.2 - 137.3. Let m(k) = k**2 + k - 5. Let y be m(0). Which is the nearest to 21? (a) -0.2 (b) i (c) y b Let y = -8 - -5. Suppose 3*m + 43 = -5*r - 24, -4*r - 20 = -6*m. Which is the closest to 0? (a) 0.1 (b) m (c) y a Suppose -18 + 6 = 4*p. Let i = -2.1 + 2. Let x = 5.176248 + -0.176248. What is the nearest to i in x, p, -0.4? -0.4 Let s = 973.2 - 973. Suppose -3*w - 5*v = -12, 5*v + 6 = -w + 20. Let t = -25 - -25.1. What is the closest to -0.1 in w, t, s? t Let z = 0.2 + -0.3. Let v be (-685)/(-1370)*(-6)/9. What is the closest to z in -3, 0.1, v, -0.128? -0.128 Let i be (192/(-140))/(-2) + ((-612)/(-63) - 10). What is the nearest to 1 in 2, -0.2, -0.438, i? i Let d = 3/44 + -103/220. Let j = 1163.5 - 552.3. Let u = 611 - j. What is the nearest to 1/2 in d, 0, u? 0 Let n = -21380 - -21611. Which is the closest to -0.1? (a) n (b) 4 (c) 6 b Suppose -629 = -17*w - 2*w + 2*w. Which is the nearest to 0.4? (a) w (b) 0.3 (c) 2/19 b Let d = -130760/111 + 3533/3. Let o = d - 416/185. Which is the closest to -1/3? (a) -2/7 (b) o (c) 1 a Let u = -1707 - -1707.2. Let k = 4/25 - -72/175. What is the nearest to u in -6, k, -1? k Let v = 20288 + -20282. Which is the nearest to 1? (a) -0.4 (b) -14 (c) 2/13 (d) v c Let u = -14899 - -14905. Which is the closest to 0.1? (a) 137 (b) u (c) 2 c Let y be 2/(-16) + 69/360 + -1. Let a = -268/255 - y. What is the nearest to -0.2 in 0.5, a, 11? a Let z = -0.013 + -0.117. Let p = 0.07 - z. Which is the nearest to p? (a) -43 (b) 1 (c) 0 c Let m = 1548 - 1546.5. Which is the closest to -1? (a) 2 (b) -0.3 (c) m b Let f(g) = -g**3 - 10*g**2 + 58*g + 2. Let z be f(-14). Let k(s) = s**2 + 23*s - 72. Let o be k(z). What is the nearest to o in -2/9, -2, -0.2? -0.2 Let l = 117383/4 - 29346. Suppose 1 = -2*f + 23. Which is the closest to 0.1? (a) 2 (b) l (c) f b Let m = 2 - -2. Let r(j) = j**2 - 2*j + 6. Let v be r(m). Let g = -2.0682502 - -0.0682502. What is the closest to g in 3/5, -3, v? -3 Suppose 5*q = -11 - 4. Suppose -102 = 43*a - 41*a. Let n = -461/9 - a. What is the nearest to 1/4 in -2, n, q? n Let f = 7 + -52. Let j = f - -54. Let s = 9.3 - j. Which is the closest to 3/4? (a) -0.5 (b) s (c) 4 b Let p = -3703 - -3807. Which is the closest to p? (a) 0.1 (b) -4 (c) 2 (d) -0.4 c Let m = -96.775 - 0.225. Let j = 96 + m. Let u = 1.2 + -1.4. What is the nearest to u in -0.3, j, 0.4? -0.3 Let q be (3/(-8))/((-81)/(-108))*0. Which is the nearest to q? (a) 5 (b) 2 (c) -0.015 c Suppose 0 = 99*i + 382 + 14. What is the closest to 1 in 1, i, -1? 1 Let t be -6 - (2 + (-228)/30). What is the closest to t in 666, -3, 0? 0 Let w be 52/(-20) - (1/2 - 27/(-30)). Which is the nearest to 1? (a) 4 (b) -1/2 (c) 1/2 (d) w c Let g = 2896 - 2741.3. Let v = 155 - g. What is the nearest to -4 in -4, v, 2? -4 Let l = -16185 - -16181. What is the closest to -5 in l, 1/20, 0? l Suppose -12*w - 3*j + 114 = -15*w, w - 4*j + 59 = 0. Which is the nearest to -17? (a) w (b) -0.1 (c) 1 a Let i = 5294 - 5292. Which is the closest to -1? (a) 1 (b) 0.47 (c) i (d) -2/17 d Let j(d) = -8*d + 277. Let x be j(40). Suppose n + 6*i - 2*i + 22 = 0, -153 = 4*n + 3*i. Let w = n - x. Which is the nearest to w? (a) 6 (b) 3 (c) 5 b Let o be (-18)/(-72)*-1*3. Let q = -291 + 290. What is the nearest to -2 in -4, q, o? q Let n = -0.0892216 + -1.3107784. Let m = 0.6 - 2.6. What is the nearest to -0.1 in -0.1, -5, m, n? -0.1 Let h = -4460 + 4458. What is the closest to 3 in h, 124, 4? 4 Suppose 3*o + 2*q = 7*q, -5*q - 20 = -5*o. What is the closest to -19 in o, 0.5, 0, 2? 0 Let g = 3.1134 - 0.1134. Which is the nearest to 1/4? (a) g (b) 0 (c) 1/11 c Suppose 2*g = 7*g. Let i = -0.869 + -0.131. Let x = -67.6 + 67.1. Which is the closest to g? (a) x (b) 4 (c) i a Let o = -141/473 - -5/43. Suppose 0 = -4*j + r + 1564, 53*j = 48*j - 5*r + 1955. Let m = j + -389. What is the closest to m in o, -1/10, 0.4? 0.4 Let q = -956/195 - -62/13. Let f = 1.
{ "pile_set_name": "DM Mathematics" }
) = -11*f**3 - 5*f - 11. Let r(m) = q*i(m) + y*w(m). Determine r(2). -7 Let l be (-75)/(-50)*188/6. Suppose -8*b + l = -33. Let h(j) = -2*j - 4. Determine h(b). -24 Let n(u) = -25*u**2 + 36*u - 1. Let a(h) = -76*h**2 + 118*h - 2. Let y(i) = -4*a(i) + 13*n(i). Determine y(-1). -22 Suppose u = -3*i - 17, 4*i = 5*u - i - 15. Let t(a) be the first derivative of 0*a**2 - 7/3*a**3 - a + 413. Calculate t(u). -29 Let b(y) = -y - 3. Let c be (-579)/(-5) - (-4)/20. Suppose -2*t = -4*g + c, 4*g + t - 116 = -3*t. Let n = -32 + g. Calculate b(n). 0 Let d be (-1)/(2/6)*1. Let q(u) = 8*u + 4. Let t(n) be the first derivative of 9*n**2/2 + 5*n - 681. Let f(j) = d*t(j) + 4*q(j). What is f(-1)? -4 Let n(g) = -3*g**3 + g**2 + 2*g + 1. Suppose -54*r + 28 = -53*r. Let a = 27 - r. Determine n(a). 3 Let f(j) be the third derivative of 1/60*j**5 + 1/24*j**4 + 0*j + 0 - 35*j**2 - 2*j**3. Give f(0). -12 Let d(n) = 6*n**2 + 109*n + 110. Let k be d(-1). Let a(w) be the first derivative of -w**4/4 + 8*w**3/3 - 5*w**2 - 3*w + 3. Determine a(k). -24 Let y(d) = -3*d**2 - 4*d - 10. Let s(o) = -2*o**2 - 5*o - 9. Suppose 3*r + 14 = -2*h, -2*r + 3*h - 5 + 0 = 0. Let c(x) = r*s(x) + 3*y(x). Give c(11). -27 Suppose -j + 2*j = -4*n + 4, -60 = -2*j + 5*n. Suppose -j = -22*g + 2*g. Let q(r) = 7*r**3 + r**2 + r - 1. What is q(g)? 8 Let j(n) be the third derivative of -n**4/12 - 7*n**3/6 - 15*n**2. Let h be j(-5). Let c be h + (-4)/8*-4. Let s(f) = -f**3 + 4*f**2 + 7*f - 5. Give s(c). 5 Suppose -6 = 3*h, -3*m - 3*h - 19 = -h. Let j(r) be the second derivative of 1/3*r**4 + 1/2*r**2 + 0 - 29*r - 7/6*r**3 + 1/20*r**5. Give j(m). 11 Suppose 0*g = -2*g - 12. Let y(o) = -6. Let t(z) = z + 28. Let l(d) = -t(d) - 5*y(d). What is l(g)? 8 Suppose 0 = -5*b + 13 + 77. Suppose b + 30 = -6*l. Let w(x) = -5*x**2 + 13*x - 1. Let p(c) = -3*c**2 + 9*c - 1. Let n(o) = -8*p(o) + 5*w(o). Calculate n(l). -5 Let m(l) = -l**2 - 4*l + 4. Let k(q) = q**3 + 21*q**2 + 2*q + 39. Let u be k(-21). Let b be (2 + 1)/(-1 + u - -5). Let j be (-10)/(12/b - 2). Determine m(j). -1 Suppose 25*a + 162 - 62 = 0. Let c(t) = 50*t + 194. What is c(a)? -6 Let s(u) = -u**3 + 45*u**2 - 14*u + 7 - 36*u**2 + 5*u**2 - 1. Determine s(13). -7 Let h(c) = -27*c - 2. Suppose y - 2*l + 4 = 0, -l = -7*y - 0*y - 2. Determine h(y). -2 Let a(j) = 1 - 2 + 2*j + 3 - 1. Suppose 5*f + 2*o = 3*f + 10, 0 = -4*f + 5*o - 7. Suppose -11 = f*w - 15. Give a(w). 5 Let k(s) = 4*s + 4*s - 4*s. Let y = 60 + -55. Suppose y*g = -6 + 21. What is k(g)? 12 Let t(z) = z**2 - 4*z - 47. Let p be t(-7). Suppose 26*i = p*i. Let u(n) = -n**3 + n**2 - 1. Determine u(i). -1 Let j(q) = -q + 16. Let x(g) = -50 + 41 + 23 - 4*g + 34. Let n(y) = 10*j(y) - 3*x(y). Give n(-8). 0 Let k(g) = -g**2 + 5*g + 4. Suppose 0 = 3*u + 12, 0 = -6*w + 2*w + 4*u + 284. Let m = -36 + w. Suppose j - 2*j + 1 = 2*x, 0 = 5*j - 3*x - m. Calculate k(j). 4 Let p(t) = -t**2 + 8*t + 9. Let w(d) = 3*d**2 + 26*d + 1. Suppose 0 + 270 = -30*x. Let f be w(x). Determine p(f). -11 Let d be (3/(-7))/((-405)/3780). Let b(k) be the second derivative of -k**4/12 + 2*k**3/3 - k**2 - 3*k. What is b(d)? -2 Let b(k) = k**2 + 59*k + 447. Let x be b(-50). Let y(d) = 6*d**2 + 2*d + 1. Give y(x). 49 Let u(o) be the third derivative of -o**3 + 0 + 0*o + 1/24*o**4 + 47*o**2. Calculate u(-6). -12 Let a(f) = 8*f + 5. Let o(s) = -s**2 - 8*s - 6. Let c(u) = -3*a(u) - 2*o(u). What is c(-5)? 87 Let k(o) = 500*o - 115. Let x(t) = 57*t - 13. Let b(j) = -4*k(j) + 35*x(j). Calculate b(-3). 20 Let w = -460 + 453. Let m(p) be the third derivative of -p**5/60 - p**4/3 - p**3 + 5*p**2. Give m(w). 1 Let a(v) = v + 5. Let u(o) = -o**2 - 4*o - 6. Suppose -55 = -4*p - 23. Suppose -20 = -2*l + 6*l, 3*c = 4*l + p. Let y be u(c). What is a(y)? -1 Let s(q) be the third derivative of -q**5/60 + 5*q**4/12 - 8*q**3/3 + 38*q**2. Let c be s(7). Let y(m) = -7 - c*m - 3*m + 5*m + 4*m. Determine y(7). 0 Let f(c) = c - 10. Suppose -181*s = 3*k - 178*s - 75, 4*s = -5*k + 118. Give f(k). 8 Let t be ((-8)/6)/((-6)/(-621)*23). Let i(z) be the first derivative of 2*z**3/3 + 5*z**2 + 7*z + 3. Determine i(t). 19 Let k(c) = c**3 - 2*c**2 + c. Let q(v) = 2*v**3 + 16*v**2 + 71. Let l(a) = 3*k(a) - q(a). Calculate l(22). -5 Let f be 1932/70 + 3/(-5). Suppose 9*z = 10*z - f. Let n be ((-1)/(-3))/((-3)/z). Let b(d) = -d**3 - 2*d**2 + 3*d. Calculate b(n). 0 Let g(d) be the third derivative of 5*d**4/24 - 12*d**3 - 54*d**2 - 2. Give g(14). -2 Let t(b) = -b**3 + 12*b**2 - 13*b + 24. Let l be t(11). Let k(y) = 12*y - 33 + 4 + 28 + y**l. Give k(-11). -12 Let t = 222 - 215. Let x(j) = -20*j - 21*j + t + 38*j. Give x(6). -11 Let y(h) be the third derivative of 5*h**4/24 - 17*h**3/6 + 3*h**2 + 3*h + 120. What is y(5)? 8 Let u(o) be the first derivative of -o**5/60 - 7*o**4/24 + o**3/3 - 2*o**2 - 62. Let r(q) be the third derivative of u(q). Determine r(-3). -1 Let k(o) be the second derivative of o**3 + 0 - 98*o + 1/12*o**4 - 3/2*o**2. Determine k(-5). -8 Let c(h) = 24*h**2 - 34*h - 7. Let t(j) = -50*j**2 + 74*j + 15. Let r(v) = 13*c(v) + 6*t(v). Give r(1). 13 Let s = -14028 + 14023. Let b(a) = a**2 + 13*a + 5. Determine b(s). -35 Suppose 0 = 11*s - 7*s + 5*f - 100, 0 = 5*s + 2*f - 108. Let q(d) = 49*d**2 + 59*d**2 - d**3 - 88*d**2 - d + s. Give q(20). 0 Let w(f) = -f**2 + f + 15. Let h(b) = b**3 + 5*b**2 - 18. Let j(x) = -7*x + 46. Let c be j(7). Let l be h(c). Calculate w(l). 15 Let c(p) = -13 - 16 + p + 20 - 5. Let v = 557 + -546. Give c(v). -3 Let j(w) = -w**2 - 5*w. Let n(t) = 3*t**2 - 18*t + 2. Let l be n(6). Suppose -5*v = 3*h + 17, l*h = -3*h - 3*v - 23. What is j(h)? 4 Suppose 33 = 3*m - 2*m - 2*b, 2*m - 62 = 3*b. Suppose -5*l - m = -60. Suppose l*s = -2 + 2. Let g(a) = -a**3 - a**2 + a - 15. Determine g(s). -15 Suppose 5*v - 63 = -13. Suppose -2 - v = 3*m. Let g be m/((-16)/5)*4. Let p(z) = z**3 - 5*z**2 + 2*z. Calculate p(g). 10 Let t(i) be the third derivative of i**5/120 - i**4/12 + 61*i**3/6 + 7*i**2 + 8. Let f(a) be the first derivative of t(a). What is f(0)? -2 Let t = 259 + 75. Suppose -10 + t = -6*k. Let h = 53 + k. Let y(u) = 6*u**2 - u. Give y(h). 7 Let b(t) = 13*t**3 - 2*t**2 - 6*t + 8. Let k(n) = -19*n**3 - 18*n**2 + n + 1. Let s be k(-1). Calculate b(s). 13 Let y(d) be the third derivative of d**5/20 - 7*d**4/6 + 73*d**3/6 - 29*d**2 + 3*d - 1. What is y(4)? 9 Let t(l) = 3*l**3 - 156 + 1455*l + 1452*l + 1426*l - 2*l**3 + 50*l**2 - 4287*l. Calculate t(-49). -9 Suppose -3*j - 4*c + 39 = 0, 2*j - 3*j = 2*c - 13. Let f(p) = 2 - j*p + 25*p - 13*p. Determine f(-2). 4 Let m(a) be the third derivative of a**6/120 - a**5/20 - 3*a**4/8 - 7*a**3/6 - a**2 - 37*a. Give m(-3). -34 Let m(n) be the third derivative of -5*n**4/8 - 30*n**3 - 9839*n**2. Determine m(-10). -30 Let w = -5553 - -5548. Let v(h) = -h**3 - 3*h**2 + 11*h + 4. What is v(w)? -1 Let j be 2 - 2*(-3)/2. Suppose -j*x + 31 = -r - 20, r + 5*x = -51. Let o = -53 - r. Let c(t) = -4*t**2 + 2*t + 1. Give c(o). -19 Let w(z) be the first derivative of z**3/3 - z**2 + z + 6. Let n be w(0). Let i(v) = n + 19*v - 3*v**2 + 2*v**2 - 15*v. What is i(5)? -4 Suppose -6*u = 9*u - 45. Let f(v) = v - 2. Let m(q) = 1. Let z(n) = u*f(n) - 4*m(n). Calculate z(-7). -31 Let q(v) be the first derivative of -v**3/3 + 5*v**2 - 12*v + 2045. Give q(7). 9 Let c(i) = 2*i**2 + 4*i - 1. Suppose 35*y + 20328 + 4837 = 0. Let w = 714 + y. Calculate c(w). 29 Let x(k) = -k**3 + 15*k**2 - 13*k - 19. Suppose -4*a + n + 57 = 0, 12*a + 2*n = 13*a - 16. Determine x(a). -5 Let z be ((-11)/6)/(28/(-336)). Let m(p) = -5 + 11*p - z*p - 4*p**2 + 22 + 3*p**2. What is m(-12)? 5 Let y(f) = 12*f**2 - f - 2. Suppose -16 = 4*q + r, 4*q + 2*r + 39 = 15. Determine y(q). 48 Let k(c) = -7*c + 7. Suppose 15*x + 188 = -16*x + 219. Determine k(x). 0 Let m(n) = -n**3 + 8*n**2 - 6. Let v be 6/2 + -1 + -11 + 4 + 13. Determine m(v). -6 Let o(n) = n**3 + 7*n**2 + 6*n + 3. Let i be o(-6). Let q(r) = 2*r - 1646. Let w(b) = b - 898. Let z(y) = 6*q(y) - 11*w(y). Calculate z(i). 5 Suppose 4*x + 19*h = 24*h + 825, -4*x + 824 = -4*h. Let s(n) = -98 - 8*n - 107 + x - n**2. What is s(-8)? 0 Let n(y) = -6*y - 249. Let x be n(-42). Let p(j) = -j**3 + x - 645*j + 0*j**3 + 4*j**2 + 642*j. What is p(3)? 3 Suppose -10*b = 10 - 60. Suppose 1 = 4*q + 2*f - 3*f, 2*q + 5 = -b*f.
{ "pile_set_name": "DM Mathematics" }
hest common divisor of 2148 and 4770708. 2148 Calculate the greatest common factor of 21069705 and 915. 915 What is the greatest common factor of 1480 and 12599240? 1480 Calculate the highest common divisor of 102759951 and 100912. 6307 What is the greatest common factor of 136197 and 2294? 37 What is the greatest common factor of 578 and 18302642? 34 Calculate the highest common divisor of 13376195 and 10710. 595 Calculate the highest common factor of 2414 and 1904355113. 1207 Calculate the highest common divisor of 5056 and 13076080. 1264 Calculate the highest common divisor of 40472 and 17144. 8 Calculate the highest common divisor of 287978 and 172002. 218 Calculate the highest common divisor of 42092 and 2934060. 2476 Calculate the highest common divisor of 28753 and 1961. 1 Calculate the highest common divisor of 315 and 5151265. 35 What is the greatest common factor of 29343585 and 375? 15 Calculate the greatest common factor of 375 and 33141. 3 What is the greatest common factor of 6 and 29855022? 6 Calculate the highest common divisor of 93612 and 323292. 348 What is the highest common factor of 336589848 and 288? 72 Calculate the greatest common factor of 110490 and 354525. 435 What is the greatest common divisor of 637579 and 252996? 727 Calculate the highest common divisor of 154 and 139569815. 77 What is the highest common divisor of 27181 and 143066? 77 What is the greatest common divisor of 2061312 and 10614? 366 What is the greatest common divisor of 144 and 125640264? 24 What is the greatest common divisor of 15 and 85732035? 15 What is the greatest common divisor of 185 and 44847219? 37 What is the highest common factor of 53623550 and 150? 50 Calculate the highest common divisor of 152540 and 222840. 20 Calculate the greatest common divisor of 87639 and 101019. 669 Calculate the greatest common factor of 849 and 1640189892. 849 What is the greatest common divisor of 72312116 and 60? 4 What is the highest common divisor of 117 and 1623915? 9 Calculate the greatest common factor of 84 and 29033697. 21 What is the greatest common factor of 6 and 31284222? 6 What is the highest common factor of 1486658841 and 3057? 3057 What is the greatest common divisor of 307933 and 1444? 361 Calculate the highest common divisor of 6321 and 3364536. 147 Calculate the highest common factor of 245 and 441192080. 245 Calculate the highest common factor of 60 and 5763196. 4 Calculate the greatest common divisor of 14586 and 553384. 442 Calculate the highest common divisor of 16672778 and 4411. 401 What is the highest common divisor of 72740 and 1820? 20 What is the greatest common factor of 54 and 105199857? 27 What is the greatest common divisor of 616 and 12775728? 56 Calculate the highest common divisor of 6664 and 2620856. 952 What is the greatest common divisor of 6456 and 849264? 24 What is the greatest common divisor of 2005025 and 77165? 1265 What is the highest common divisor of 33001196 and 3396? 1132 What is the greatest common divisor of 651 and 19475610? 21 Calculate the greatest common divisor of 167213684 and 11. 11 What is the highest common factor of 39821304 and 39372? 2316 Calculate the highest common factor of 935923191 and 21. 21 Calculate the greatest common divisor of 3654 and 1082802. 1218 Calculate the greatest common factor of 5012 and 652. 4 What is the greatest common divisor of 56 and 678482? 14 Calculate the greatest common divisor of 2784 and 822904. 232 What is the highest common divisor of 2541 and 77589897? 231 What is the highest common divisor of 107134005 and 30855? 1815 Calculate the highest common factor of 683037 and 23751. 261 Calculate the greatest common factor of 74347 and 466507. 817 What is the highest common divisor of 814969981 and 4151? 4151 What is the highest common divisor of 10782457 and 3171? 1057 What is the highest common divisor of 39022 and 229478? 358 What is the highest common divisor of 716 and 257116? 4 What is the highest common divisor of 8 and 277540? 4 Calculate the greatest common divisor of 303388 and 16498. 146 What is the highest common divisor of 686 and 15782459? 343 Calculate the highest common factor of 72082 and 2441386. 3134 Calculate the highest common factor of 1990 and 54561820. 1990 Calculate the greatest common factor of 1887 and 242202. 111 What is the highest common factor of 556 and 279473956? 556 What is the highest common factor of 3630 and 880605? 165 Calculate the highest common factor of 1273 and 229619921. 1273 What is the greatest common divisor of 17326242 and 90? 18 What is the highest common factor of 5046773 and 41752? 5219 What is the greatest common divisor of 1306661412 and 153? 51 What is the highest common divisor of 14575664 and 16991? 1307 What is the highest common divisor of 948 and 219733365? 237 Calculate the greatest common factor of 697437598 and 57. 19 What is the highest common factor of 102111014 and 2? 2 Calculate the greatest common factor of 37439656 and 584. 584 Calculate the highest common factor of 150112 and 36128. 32 Calculate the greatest common divisor of 3 and 5045520. 3 Calculate the highest common divisor of 23220800 and 850. 50 What is the highest common factor of 43236730 and 25870? 1990 What is the highest common divisor of 4958 and 1273? 67 Calculate the greatest common factor of 162904050 and 200. 50 What is the highest common factor of 1112 and 486568? 8 Calculate the highest common divisor of 87 and 165747905. 29 Calculate the greatest common divisor of 111464718 and 1362. 1362 Calculate the highest common factor of 714595271 and 26. 13 What is the highest common factor of 28692 and 1030092? 12 Calculate the highest common factor of 1245 and 185654400. 1245 What is the greatest common factor of 15470 and 9053486? 442 Calculate the greatest common divisor of 4668599 and 5383. 769 What is the greatest common factor of 4340 and 186434? 62 What is the greatest common divisor of 3740 and 414871094? 374 Calculate the highest common divisor of 5149 and 85253. 19 Calculate the greatest common factor of 1181648 and 12363. 13 Calculate the highest common factor of 19380 and 16201. 17 What is the highest common divisor of 521118 and 3278144? 4454 Calculate the highest common factor of 581951 and 9671. 19 What is the greatest common factor of 77031 and 327461? 317 Calculate the greatest common divisor of 310112 and 1199. 11 Calculate the greatest common factor of 8388 and 1201716. 36 What is the greatest common factor of 7308 and 25317? 261 What is the highest common divisor of 988601 and 697? 17 What is the greatest common divisor of 13481 and 2107001? 793 What is the highest common factor of 223151841 and 44? 11 What is the highest common divisor of 37572750 and 6750? 2250 What is the highest common divisor of 2754 and 2136780? 162 What is the greatest common factor of 116410 and 14000? 70 Calculate the highest common factor of 10686037 and 3287. 3287 Calculate the greatest common divisor of 739 and 98899631. 739 What is the greatest common factor of 68673990 and 1395? 465 What is the greatest common factor of 207749 and 89972? 83 What is the greatest common factor of 32949 and 5124? 21 Calculate the greatest common divisor of 34010544 and 2330. 466 Calculate the highest common divisor of 227 and 57303426. 227 What is the greatest common factor of 403 and 5477855? 31 Calculate the greatest common divisor of 4100375 and 425. 25 Calculate the highest common divisor of 400625 and 30768. 641 Calculate the greatest common divisor of 82403800 and 1400. 200 What is the greatest common factor of 202393506 and 84? 42 Calculate the greatest common divisor of 357401359 and 14. 7 Calculate the greatest common divisor of 30 and 32995974. 6 Calculate the greatest common divisor of 13390 and 54535. 65 Calculate the highest common divisor of 63252 and 64602. 18 Calculate the highest common factor of 4 and 23274127. 1 Calculate the highest common divisor of 39579875 and 128003. 6737 Calculate the greatest common factor of 2290 and 43070. 10 Calculate the greatest common divisor of 199394227 and 38. 19 Calculate the highest common factor of 6123 and 496899. 39 Calculate the highest common factor of 890 and 258735. 5 What is the greatest com
{ "pile_set_name": "DM Mathematics" }
). Let d = 24 + -123/5. Which is smaller: m or d? m Let j = 10 + -8. Is j bigger than -2.4? True Let f = 34 - 34.1. Which is bigger: f or -64? f Let s(w) = w**2 - 7*w + 8. Let g be s(7). Let b(m) = -m**3 + 8*m**2 + 3. Let v be b(g). Which is smaller: 2 or v? 2 Suppose 4*n + 119 = 11. Let l = n - -134/5. Let p = -7.3 - -7.4. Is l < p? True Let j be -3 + 10 + (-3 - -6). Suppose 0 = 4*t + 38 + j. Which is greater: -13 or t? t Let n(m) = m**2 + 7*m - 18. Let d be n(-9). Is d < 3/34? True Let t = 13 - 5. Suppose t*g - 5 = 3*g + 5*p, g - 6 = -4*p. Let s be 2/((-9 + g)/(-1)). Which is smaller: s or -1? -1 Let c = 16 + -15. Which is smaller: 5/6 or c? 5/6 Let b = 23 + -117/5. Are b and 0 non-equal? True Let n = -68 - -66. Is n bigger than -6? True Let h be (-3)/4*20/(-6). Let i(l) = 5*l - 18. Let k be i(4). Is h < k? False Let r = 18 - 19. Which is smaller: r or -4/5? r Let z = -7 + 5. Let v be -3*(38/(-18) - z). Is -0.1 at least as big as v? False Let c be 1/(-10) + 1/(-2). Let b = 0 - 1. Is b equal to c? False Let q(x) = 2*x + 2. Let c be q(-3). Let o be (3/54)/(1/c). Suppose 3*g - g = -2. Is g less than o? True Let w be (3 + -11)*1/(-2). Suppose 2*o = -2*o - w. Let u = o + 0. Does 0 = u? False Let z = 9 - 7. Suppose g = -3*q + 7, 5*g - 4*q + 1 = -z. Do g and 3 have the same value? False Let t be ((-5)/10)/(-1) + 0. Is 1 less than or equal to t? False Let c = -31 + 61/2. Let k = -7/5 - -1. Is c equal to k? False Let c = 0.6 + -0.5. Let s = 6 - 6.1. Let f = c + s. Does -3/8 = f? False Let k = 218/189 + -8/27. Is k at most 1? True Suppose -4*s + 2*b + 49 = -3*b, -3*s - 2*b + 8 = 0. Let y(x) = -2*x - 6. Let r be y(-4). Let z be (-3)/r*(-30)/9. Which is smaller: z or s? z Let g be (2 + (-316)/(-70))*-15. Let z = g + 98. Which is smaller: -5 or z? -5 Let a be 16/130 - (-24)/30. Which is smaller: 2 or a? a Let w = 10.9 + -11. Let b = -19/2 + 10. Is b at most as big as w? False Let g be (1/(-3))/(2/(-12)). Suppose -3*d - 10 = g*d. Is -2 at least d? True Let g(h) = h**3 + 2*h**2 - 3*h - 1. Let b be 7/(-3) - (-12)/(-18). Let z be g(b). Which is smaller: z or 0? z Let h be 0 - (0 + (-1)/(-1)). Suppose 20 = 5*t - 30. Suppose -2*x = t, -o = 4*x + 10 + 10. Which is smaller: o or h? h Let u(p) = -p**3 - 2*p**2 - p + 1. Let q be (-4)/14 - (-24)/(-14). Let s be u(q). Suppose -2*o + 0*t = -4*t + 32, -s = 3*o + 3*t. Which is smaller: -5 or o? o Let i = 38/5 - 256/35. Is i > -1? True Suppose -6*z = -5*z. Suppose -6*y + 2*y + 8 = z. Let t = -7 - -10. Which is smaller: y or t? y Let f = -7 + 7.3. Let i = 0.4 - 0.2. Let v = i + -0.1. Is v greater than or equal to f? False Let w = 81 - 80.66. Is w < -1? False Let v(q) = -q - 3*q**2 + 1 + 8*q**2 + 0*q. Let a be v(1). Which is greater: a or 6? 6 Let g be (-49)/222 - 7/(-42). Is g greater than 1? False Let j = 7 - 6. Do j and -2/13 have the same value? False Let n be 28/(-42)*(-9)/10. Let w = 3 - 2. Which is smaller: w or n? n Let d = -0.18 - -7.18. Let m = 111/65 + -17/13. Is m less than d? True Let k = 0.7 + 0.3. Let f = 1 - k. Let o = 478 - 476. Which is smaller: f or o? f Let p be ((-34)/510)/((-10)/9 + 1). Let b = -1 + 1. Is b at least p? False Let a be 0 - 1 - (1 + -2). Let w be a + (-1 - 28/(-20)). Is 4 > w? True Let y = -12 - -36. Let f be 4/10*(-345)/y. Let k = -6 - f. Which is bigger: 0 or k? 0 Let l = 367/9 + -41. Is 1 bigger than l? True Let d(s) = s. Suppose -36 = -5*m - 1. Let k(z) = z**2 - 6*z - 7. Let p be k(m). Let o be d(p). Do 0.3 and o have different values? True Suppose 0 = -5*j + 8*j - 6. Suppose -2*q + 5*m + 9 = -0*m, -5*m - 1 = j*q. Let a be (q - 1) + (-1)/1. Do 1 and a have different values? True Suppose -4*l + 3*l = -1. Suppose -7*r + 9 = -3*r - t, 7 = 5*r + 3*t. Suppose 0*j + r*j = 2. Are l and j nonequal? False Let t(f) = -2*f**3 + f**2 + 2*f + 1. Let g be t(-1). Is g at most as big as 11/5? True Let k be (-20)/(-12) - (-2)/6. Let j = -2 + 2. Suppose -10 = 4*c - k*f, -f + 5 = -j*c + c. Which is greater: -2/5 or c? c Let g = 0.3 + -0.3. Let x = 1 + g. Let f = x - -2. Is f smaller than 1? False Let b be (-24)/(-60) - 72/230. Which is smaller: b or 0? 0 Let o = -9 - -3. Which is smaller: 0 or o? o Let c = 1153/6 - 193. Is -1 less than c? True Suppose -4*w - 1 - 15 = -4*t, -12 = -t + 5*w. Let k = 53 + -263/5. Is t greater than or equal to k? True Suppose -6 = x - 7. Which is smaller: -1 or x? -1 Let c be ((-2)/3)/((-5)/3). Let r = 6229/3 + -2058. Let d = r + -18. Which is smaller: d or c? d Let b(j) be the third derivative of j**7/2520 + 7*j**6/720 + j**5/24 - j**4/12 - j**2. Let m(l) be the second derivative of b(l). Let i be m(-6). Is i > -2? True Let m be (8/(-16))/((-1)/(-4)). Let g be (m + 2)/(2/(-1)). Is g >= -1? True Let l(s) = -s**3 - 13*s**2 - 10*s + 7. Let y be l(-12). Is -15 less than y? False Let w be (-2 - (-3 + 4))*4. Let q be ((-2)/(-12))/((-6)/w). Is 1 bigger than q? True Let c = 11 - 10. Is c less than -2/53? False Let u = -5 + 5. Let h = u - -1. Is 4 >= h? True Let w be (54/(-15))/((-6)/(-20)). Let m = 8 + -20. Is w bigger than m? False Let c = -105 - -101.95. Let o = 3 + c. Let g = -2.05 - o. Is g at most as big as -0.1? True Suppose -n - 40 = 4*n. Let t be (-2)/(-30)*(-6)/n. Which is bigger: -1 or t? t Let d(w) = -w - 7. Let u be d(-5). Which is bigger: -10/9 or u? -10/9 Let n = -0.139 - -0.059. Which is smaller: 1/2 or n? n Let o = -1.96 - -2. Let r = o + -0.04. Is 1 smaller than r? False Suppose 4*t - 5*t = 0. Let x be 8/28 - (-33)/7. Suppose -x*s - 1 = -6. Is s at most as big as t? False Let a(o) = -7*o**2 + 13*o + 6. Let z(k) = -3*k**2 + 6*k + 3. Let x(d) = -d + 1. Let r be x(3). Let y(v) = r*a(v) + 5*z(v). Let s be y(4). Is s bigger than 4? False Let h = 1/12 - -1/12. Let f = -1 - -2. Suppose 2*o + 1 = -f. Is h >= o? True Suppose 3*h - 2*v - 6 = 46, -2*h - 2*v = -18. Suppose 4*g + 7 - 3 = -4*d, -h = -g + 2*d. Let y be ((-6)/15)/(g/(-2)). Which is smaller: y or 1? y Let g be 1/((-2)/(-20)*-2). Which is smaller: -4 or g? g Let x be (1/(-23))/((-15)/(-30)). Which is smaller: x or 2? x Let z(i) = i - 4. Let l be z(-3). Let p = -4 - l. Suppose 2 - 8 = -p*o. Which is smaller: 1 or o? 1 Let n(j) = 2*j - 1. Let r be n(1). Suppose 4*u = -5*m + 2*u + 25, 0 = -2*m - 4*u + 26. Suppose 13 = m*d + r. Is 4 smaller than d? False Let w = 1 + 2. Suppose -4*d = -w*d. Which is bigger: d or 1/6? 1/6 Let y(k) = -2*k - 3. Let v be y(-3). Suppose -c - v*x - 15 = -3*c, -x = 4*c + 5. Let m be (-1)/(-4)*2 + -1. Which is greater: m or c? c Suppose 68 = -4*z + 8. Let n be (1/z)/(3/(-2)). Is -1 bigger than n? False Suppose 2*p + 5 = -u, 28 - 9 = -p + 5*u. Which is smaller: -14/5 or p? p Let i = -0.3 + 0.4. Suppose 0 = 3*l - 4*w - 0*w + 13, -2 = -l - 5*w. Let m be (-6)/l*(-2)/4. Which is smaller: i or m? m Let i = 1.9 + -1.8. Is i greater than or equal to -15? True Let s be -2 - (0 + 0 + -2). Let t = -105 - -1783/17. Which is greater: t or s? s Let y be 3/2 - (-71)/(-2). Is -33 greater than y? True Let w(j) = j**2 - j. Let h be w(2). Is h equal to 4? False Let c be (-4)/(-6)*33/(-1111). Is c != 0? True Let r(p) = p + 5. Let j be r(-4). Suppose -5*u + 18 = -y, 2*u - 1 - j = 3*y. Let n = 23/36 - -1/36. Which is bigger: y or n? y Let y be 2/(-10) - 196/20. Let p be (8/y)/((-9)/(-90)). Let c(i) = -i**3 - 8*i**2 + i + 8. Let l be c(p). Is 0.1 at most l? False Suppose 3*g + 15 = -3*f, 0 = 4*f - 2*f + 3*g + 9. Let i = -91 + 93. Which is greater: f or i? i Let u = 12 + -26. Is u > -15? True Let o(g) = -g**3 - 3*g**2 + 3*g - 5. Let n be o(-4). Let f be (-3)/1*(-2)/(-3). Let r = f - -2. Is n >= r? False Let p(t) = -t**2 - 5*t. Let b be p(-5). Suppose b = -2*u - 2*f, 4*u - 1 + 2 = -5*f. Is 3 at most u? False Let a = 0 - 0.1. Let q = -0.2 + a. Let o = q - -0.2. Which is smaller: o or 0.3? o Suppose -12*m = -14*m + 48. Do m and 24 have the same value? True Let c = -10.03 - -10. Let b = 0.27 - c. Which is bigger: b or -0.3? b Let d = -1 + 11. Let x be d/(-12) - (-2)/3. Let j be 2/(-7) - 6/(-21). Which is smaller: j or x? x Let r(v) = v**2 + 15*v + 45. Let s be r(-11). Which is greater: s or 5? 5 Let i = 16/5 - 18/5. Suppose 0*j + 14 = 4*j - 5*f, 5*f = -j - 9. Which is smaller: i or j? i Let j = -39/2380 + -1/140. Is j greater than -1? True Suppose -p = -4*c + 21, 0*c - 3*c - 4*p = -11. Suppose -2*v - 3*w - 3 = v, 0
{ "pile_set_name": "DM Mathematics" }
5. 31 Let v(j) = j**3 + 66*j**2 - 89*j - 5855. Let z be v(-66). Let n(m) = -m**3 + 12*m**2 - 7*m + 3. Let b be n(10). What is the greatest common divisor of z and b? 19 Suppose 1174 = 5*b + k, 0*b + 238 = b + k. Suppose 0 = 2*x - b + 36. Calculate the highest common factor of x and 9. 9 Let s(g) = 379*g**2 + 90*g + 336. Let p be s(-4). Calculate the greatest common factor of p and 453. 151 Let u(p) be the second derivative of -29*p**3/6 - 43*p**2/2 + 62*p. Let f be u(-3). What is the highest common divisor of f and 4? 4 Let n(w) = -w**3 + 10*w**2 + 4*w + 10. Let o be n(10). Suppose r - 5*h = 11 + 99, -238 = -2*r + h. What is the highest common factor of r and o? 10 Let a be 4031/(8 - 2 - 5) - -8. What is the highest common factor of 7 and a? 7 Let n be (-2 - 0)*145/(-58). Suppose 0 = -4*z - n*i + 166, 1 - 5 = -2*i. Calculate the greatest common divisor of z and 65. 13 Suppose 0 = -m + 5*c + 759, 6*c - 4*c - 1506 = -2*m. What is the highest common divisor of m and 870? 58 Suppose 104 = -8*k + 34*k. Suppose -b + 39 = -m - 14, 0 = -k*m + 16. Suppose -731 = -4*u + 1093. What is the greatest common divisor of u and b? 57 Suppose 0 = 3*l - x - 159 - 236, 0 = 5*l + 3*x - 649. Let g = 164 - l. Calculate the highest common factor of 132 and g. 33 Let a = -3863 - -7229. Calculate the highest common factor of a and 1089. 99 Suppose -4 = 5*i - 6*i. Suppose 4*d - 3*p - 40 = -12, 4*d = i*p + 32. Let a be 26 + (d + -5 - -5). What is the greatest common divisor of 60 and a? 30 Suppose b + b - 12 = 0. Let f be (58/87)/((-4)/522*-3). Suppose -10*w = -f*w + 1254. What is the highest common factor of b and w? 6 Let t be 18*-1*7/(42/(-129)). Suppose -23*f - t = -g - 21*f, -5*g = -f - 1971. What is the greatest common factor of 316 and g? 79 Let q be (-140)/40 + 2/4 + (-348)/(-2). Calculate the greatest common divisor of 3933 and q. 171 Let y be 12/(-294)*-483*7. Calculate the greatest common factor of 222 and y. 6 Let p(v) = -31*v**3 - 5*v**2 - 84*v - 162. Let d be p(-2). Calculate the highest common factor of 377 and d. 13 Let b = 169 - -13. Suppose 2*v - b = -170. Let r(j) = j**2 + 7*j + 8. Let x be r(-6). What is the highest common factor of v and x? 2 Let z = 1065 - 1579. Let s = z - -769. Suppose 25*b - 2789 + 1514 = 0. What is the greatest common divisor of b and s? 51 Suppose -y - 20 = -6*y. Let k be ((-150)/y + 0)*16/(-6). Let n = -34 + k. What is the highest common factor of 22 and n? 22 Let y(m) = m**3 + 12*m**2 + 16*m + 11. Let x be y(-10). Let z = -49 + x. Suppose -z*k - 16 = -3*k. Calculate the greatest common divisor of 32 and k. 16 Let j = 107 - 106. Let m be ((62 - j) + 2)*(-6)/(-9). Let i = 27 + -13. What is the highest common divisor of i and m? 14 Suppose -100*k + 8494 = 3394. What is the highest common divisor of k and 2278? 17 Let o = 21143 - 15226. Calculate the greatest common divisor of o and 61. 61 Let g = -575 + 1349. Let v be 4068/225 - (-8)/(-100). Calculate the greatest common factor of g and v. 18 Let g = -160 + 198. Calculate the greatest common factor of 21698 and g. 38 Suppose -58 = -2*b - s, 25*s = 21*s + 16. Let g(f) = 3*f - 26. Let k be g(b). Calculate the greatest common factor of k and 165. 55 Suppose -9 = -10*o + 11*o. Suppose 6 = -3*f + n - 1, -2*n - 30 = 5*f. Let m be 9/(o/f) + 20. Calculate the highest common divisor of m and 48. 24 Let g be ((-20)/(-6) + -4)*(-561)/2. Let l = g + -138. Calculate the greatest common divisor of l and 343. 49 Let o = 272 + -139. Suppose 52 + o = 5*y. What is the greatest common divisor of 37 and y? 37 Suppose 4*w - 100 = -2*y, w = -3*w - 4. Let i(x) = -314*x - 4842. Let l be i(-16). Calculate the highest common factor of l and y. 26 Let h(s) = -s**2 - 186*s - 2229. Let a be h(-13). Calculate the greatest common factor of 20 and a. 20 Let w(v) = 27*v - 109. Let y be w(7). Suppose 0*l = 2*l - f - 155, -l - 2*f + y = 0. What is the greatest common factor of l and 26? 26 Suppose 2*s + 5*g - 19 - 49 = 0, -4*s + 4*g + 192 = 0. Calculate the greatest common divisor of 24 and s. 4 Let q(l) = -3*l - 78. Let z(h) = 4*h**2 + 2*h - 31. Let j be z(0). Let i be q(j). Calculate the greatest common divisor of i and 120. 15 Suppose -5*s = 0, 2*s + 20 = 2*h - 34. Suppose -1250 = 22*p - h*p. What is the greatest common factor of 50 and p? 50 Suppose 0 = 5*p - y - 7640 + 1838, 2*y + 3477 = 3*p. Calculate the greatest common divisor of p and 27. 27 Suppose 3*p = 5*u - 1502, -3*u = p + 243 - 1133. Let x = u + -226. Calculate the greatest common factor of 126 and x. 18 Let q = 483 - 486. Let a be 4 + -2 + (-34)/q*6. Calculate the greatest common factor of 280 and a. 70 Let v(b) = 2*b - 41. Let m be v(16). Let p be (252/70)/(m/(-30)). What is the greatest common divisor of p and 288? 12 Suppose 0*w - 5*w + 2*a = -15, 4*a = -3*w + 35. Suppose -4*c = w*c - 126. Let f = -65 + 177. What is the highest common divisor of f and c? 14 Let a(c) = -3*c + 24. Let z be a(10). Let k = z - -44. Let h = 106 + k. Calculate the greatest common divisor of 18 and h. 18 Let w(g) = g + 210 - 82 + 2*g + 4*g. Let x be w(17). Calculate the greatest common divisor of x and 38. 19 Let k(z) = -z**3 - 16*z**2 + 11*z - 106. Let i be k(-19). Calculate the highest common factor of 4096 and i. 256 Suppose -5*i + 2*p + 4632 = 0, -5*p + p + 3728 = 4*i. What is the greatest common divisor of 80 and i? 16 Let f = -4210 + 4259. What is the highest common factor of f and 7693? 49 Let l be (36*(-3)/(-24))/((-4)/(-32)). What is the greatest common factor of 492 and l? 12 Let l be (5/2)/((-261)/(-24534)). Calculate the greatest common factor of l and 329. 47 Let r = 561 - -383. Calculate the highest common divisor of r and 80. 16 Suppose -5*f + 10*f + 2*o - 1793 = 0, 11*f - 4*o = 3911. Calculate the highest common divisor of 35 and f. 7 Let o(n) be the third derivative of 11*n**4/24 + 14*n**3/3 + 6*n**2. Let u be o(0). Calculate the highest common factor of 84 and u. 28 Let n(l) = -85*l - 664. Let v be n(-8). Calculate the greatest common divisor of v and 7296. 16 Let m(j) = -28*j - 14. Let p be m(-6). Let w(y) = 7*y**2 - 30*y - 6. Let i be w(6). What is the greatest common factor of i and p? 22 Suppose 4*k = -0*a + 4*a, 4*a + k - 10 = 0. Suppose 655 = 5*v - 2*b - a*b, 2*v - 3*b - 255 = 0. What is the highest common divisor of v and 45? 45 Let n be (-3)/(-2)*4/6. Let q be 60/(-24)*n/(3/(-6)). Suppose 3*m - 3 = 2*u, 5*u = 2*m + 3*m - 5. What is the highest common divisor of m and q? 1 Suppose -3*w - 1272 = -9*w. Suppose -2*k - 5*q - 124 = 0, q + w = -2*k - k. Let s = 78 + k. Calculate the highest common factor of s and 96. 6 Let p be ((-7)/(-3) - -1)*7788/295. Suppose 48*h - 52*h + p = 4*n, -4*h + n = -63. What is the highest common divisor of 3 and h? 1 Let m(t) = 37*t - 34. Let y be m(1). Suppose 27*q - 143 = 16*q. Calculate the greatest common divisor of q and y. 1 Let p be (-4)/6*(-342)/76. Let w = 0 - -4. Let b be (6/(-8))/(w/(-112)). Calculate the highest common divisor of b and p. 3 Let q(n) = n**3 - 7*n**2 + 4*n + 22. Let a be q(6). Suppose -6075 = a*f - 19*f. Suppose 0 = 6*x - x - f. What is the highest common factor of 15 and x? 15 Let b(q) = -6*q**2 + 365*q + 67. Let a be b(61). Calculate the greatest common divisor of a and 4803. 3 Let f be 155*((0 + -1)/((-3)/(-6)))/(-2). What is the greatest common factor of 5580 and f? 155 Let u = 3 + 9. Let c = -8 + u. Suppose 31 = -0*p + 2*p - 5*s, -2*p = c*s - 76. Calculate the highest common factor of 4 and p. 4 Suppose 6*t - 7 = 11. Suppose 3*f + z - 283 = 0, z + 279 = t*f + 4*z. Calculate the greatest common factor of 19 and f. 19 Suppose -11*l + 9450 = 16*l. Suppose 6*d - 2402 + l = 0. What is the highest common factor of 18 and d? 18 Suppose -5 - 103 = -3*t. Let f = 664 + -412. Calculate the greatest common divisor of f and t. 36 Let m(o) = o**2 - 23*o. Let g be m(23). Let q be 4 - -34 - 4 - g. Let t(w) = -25*w + 10. Let a be t(-3). Calculate the highest common divisor of q and a. 17 Let p be 8 + -5 - (-1 - 14). Let h be (378/210)/(3/190). What is the greatest common divisor of h and p? 6 Suppose -4*x + 4*c + 640 = 0, 4*x - 42*c = -46*c + 600. What is the greatest common divisor of 1271 and x? 31 Suppose -5*q + 152 = -2*c, -31*q + 4*c = -29*q - 64. Calculate the highest common factor of q and 80
{ "pile_set_name": "DM Mathematics" }
tccbcccbcccqqcqccq. Give prob of picking 1 q and 1 t. 4/95 What is prob of picking 2 e and 1 n when three letters picked without replacement from {j: 2, e: 4, x: 1, p: 1, n: 1}? 1/14 What is prob of picking 1 m and 1 u when two letters picked without replacement from umumuuuuumu? 24/55 Four letters picked without replacement from {p: 4}. What is prob of picking 4 p? 1 Four letters picked without replacement from nswnspwnnshssncss. Give prob of picking 3 w and 1 c. 0 Calculate prob of picking 1 o and 3 e when four letters picked without replacement from {e: 4, i: 2, k: 3, o: 1, j: 6}. 1/455 Calculate prob of picking 3 e and 1 y when four letters picked without replacement from yeyyyyyyeye. 4/165 What is prob of picking 1 a, 2 r, and 1 o when four letters picked without replacement from {a: 1, r: 2, s: 2, h: 1, o: 1}? 1/35 Calculate prob of picking 1 j, 1 w, and 2 k when four letters picked without replacement from {v: 5, w: 4, j: 1, k: 4, o: 2}. 6/455 Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {e: 12, d: 1}. 3/13 Calculate prob of picking 3 u when three letters picked without replacement from {u: 10}. 1 What is prob of picking 3 a when three letters picked without replacement from raarrar? 1/35 Calculate prob of picking 4 n when four letters picked without replacement from onnnnnoonnono. 14/143 What is prob of picking 2 j and 1 q when three letters picked without replacement from {y: 2, j: 7, h: 3, v: 4, q: 1}? 21/680 Calculate prob of picking 1 l, 1 m, 1 u, and 1 w when four letters picked without replacement from {l: 2, u: 4, m: 1, w: 3, h: 4, r: 1}. 8/455 Calculate prob of picking 2 k when two letters picked without replacement from kyk. 1/3 Two letters picked without replacement from ttrttr. Give prob of picking 2 r. 1/15 Two letters picked without replacement from kilikkiiikiei. What is prob of picking 1 e and 1 l? 1/78 Four letters picked without replacement from {d: 12, q: 3, c: 2}. Give prob of picking 1 c and 3 q. 1/1190 Four letters picked without replacement from {p: 2, u: 10}. Give prob of picking 2 u and 2 p. 1/11 Three letters picked without replacement from swtsskmsmuskk. What is prob of picking 1 t, 1 s, and 1 w? 5/286 Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {d: 2, l: 2, a: 5}. 5/18 Calculate prob of picking 2 a when two letters picked without replacement from saasaascssascs. 10/91 Two letters picked without replacement from {j: 2, a: 2}. Give prob of picking 2 a. 1/6 Four letters picked without replacement from ckopfvpk. Give prob of picking 1 v, 1 p, and 2 k. 1/35 Calculate prob of picking 2 l and 2 e when four letters picked without replacement from {s: 4, e: 2, l: 4, j: 2}. 2/165 Four letters picked without replacement from jlbdjjdvjlbbvbddj. Give prob of picking 1 v, 1 b, 1 l, and 1 d. 16/595 What is prob of picking 2 y and 2 l when four letters picked without replacement from {l: 3, y: 2}? 3/5 What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyy? 1 What is prob of picking 2 q when two letters picked without replacement from {h: 6, l: 1, j: 5, q: 4}? 1/20 Two letters picked without replacement from {m: 3, a: 11}. Give prob of picking 1 m and 1 a. 33/91 Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, v: 1, e: 5}. 1/30 Two letters picked without replacement from {l: 4, w: 4, j: 9, r: 1, p: 2}. What is prob of picking 1 j and 1 r? 9/190 Three letters picked without replacement from {l: 2, f: 2, c: 6, r: 1}. What is prob of picking 2 f and 1 l? 2/165 Two letters picked without replacement from dllfllod. Give prob of picking 1 l and 1 o. 1/7 What is prob of picking 2 n when two letters picked without replacement from nknknn? 2/5 What is prob of picking 2 u when two letters picked without replacement from {u: 5, p: 3}? 5/14 Four letters picked without replacement from kxkxjxjjkkxxxx. What is prob of picking 1 x and 3 j? 1/143 Three letters picked without replacement from {q: 8, p: 6, i: 2, g: 2}. Give prob of picking 1 p, 1 g, and 1 q. 2/17 What is prob of picking 1 u and 1 p when two letters picked without replacement from {p: 2, i: 1, u: 2, c: 1}? 4/15 Four letters picked without replacement from {s: 9}. Give prob of picking 4 s. 1 Calculate prob of picking 1 d and 1 g when two letters picked without replacement from sxaxdgadxddd. 5/66 Two letters picked without replacement from rlccccjccckc. Give prob of picking 1 l and 1 c. 4/33 What is prob of picking 3 f when three letters picked without replacement from ffff? 1 Calculate prob of picking 1 r, 2 t, and 1 u when four letters picked without replacement from trttrodurrtudrutr. 9/119 What is prob of picking 2 x and 1 j when three letters picked without replacement from jxouxxr? 3/35 Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {a: 2, i: 1, r: 1}. 1/6 Calculate prob of picking 2 o when two letters picked without replacement from uuuuooououuuuu. 6/91 What is prob of picking 2 g and 2 n when four letters picked without replacement from reenrggn? 1/70 What is prob of picking 1 a, 1 y, and 1 v when three letters picked without replacement from {y: 1, a: 6, v: 2, m: 4}? 6/143 Three letters picked without replacement from {h: 1, s: 7, z: 3, c: 7, r: 1, p: 1}. Give prob of picking 1 s, 1 h, and 1 c. 49/1140 What is prob of picking 2 c when two letters picked without replacement from {j: 4, c: 5, t: 1}? 2/9 Three letters picked without replacement from mvuauanmum. What is prob of picking 1 u and 2 a? 1/40 Two letters picked without replacement from {d: 7, r: 3}. What is prob of picking 2 r? 1/15 Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {p: 1, e: 1, d: 1, y: 1, b: 1}. 1/10 What is prob of picking 1 l and 2 z when three letters picked without replacement from {a: 2, p: 1, l: 6, j: 1, z: 2}? 3/110 Two letters picked without replacement from {q: 2, s: 2, b: 7, m: 1, p: 1, y: 1}. Give prob of picking 1 q and 1 s. 4/91 Calculate prob of picking 2 q and 1 x when three letters picked without replacement from xqxxxqxqxxxxxxxxxq. 7/68 Three letters picked without replacement from {v: 4, s: 7, y: 2}. Give prob of picking 1 y, 1 s, and 1 v. 28/143 Two letters picked without replacement from {d: 4, r: 3}. Give prob of picking 2 r. 1/7 Four letters picked without replacement from {z: 8, x: 5, i: 2, m: 1}. Give prob of picking 2 x and 2 z. 2/13 Two letters picked without replacement from rffrrrr. What is prob of picking 1 f and 1 r? 10/21 Calculate prob of picking 2 e and 2 g when four letters picked without replacement from segggsgsssegessgeee. 75/1292 Three letters picked without replacement from qsqcswwqosr. Give prob of picking 1 s, 1 r, and 1 o. 1/55 Calculate prob of picking 1 o and 3 m when four letters picked without replacement from mmfmmmpommoo. 7/33 Two letters picked without replacement from {d: 3, o: 12}. Give prob of picking 1 o and 1 d. 12/35 Two letters picked without replacement from {j: 9, r: 3, z: 7}. Give prob of picking 1 z and 1 j. 7/19 Two letters picked without replacement from xnjjjhxhdxj. Give prob of picking 2 d. 0 Three letters picked without replacement from anhaxhit. What is prob of picking 1 a, 1 t, and 1 i? 1/28 Four letters picked without replacement from {v: 3, x: 2}. What is prob of picking 4 v? 0 Four letters picked without replacement from {o: 10}. Give prob of picking 4 o. 1 Three letters picked without replacement from ynnygnbnnbybns. What is prob of picking 2 b and 1 y? 9/364 Calculate prob of picking 1 h and 2 q when three letters picked without replacement from {q: 3, h: 1}. 3/4 Calculate prob of picking 2 v when two letters picked without replacement from vvvvuuvvvv. 28/45 Two letters picked without replacement from {f: 1, x: 2, d: 1, h: 2, s: 1, j: 1}. Give prob of picking 2 d. 0 Calculate prob of picking 2 k, 1 e, and 1 y when four letters picked without replacement from bbgkeeeybfy. 0 Three letters picked without replacement from {h: 4, w: 2, l: 4, c: 2}. Give prob of picking 2 l and 1 w. 3/55 Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {w: 4, f: 3, v: 1, t:
{ "pile_set_name": "DM Mathematics" }
m of 9, 39, 127, 303, 597, 1039, 1659? 5*v**3 - v**2 - 2*v + 7 What is the x'th term of 118, 178, 238, 298, 358, 418? 60*x + 58 What is the g'th term of -74, -85, -92, -95, -94, -89? 2*g**2 - 17*g - 59 What is the y'th term of 232, 404, 588, 790, 1016, 1272, 1564, 1898? y**3 + 165*y + 66 What is the y'th term of -517, -2032, -4541, -8032, -12493, -17912, -24277? 2*y**3 - 509*y**2 - 2*y - 8 What is the d'th term of -2, 2, 16, 46, 98, 178, 292, 446? d**3 - d**2 - 2 What is the s'th term of -2382, -2384, -2386, -2388, -2390, -2392? -2*s - 2380 What is the h'th term of 62, 64, 66, 68, 70, 72? 2*h + 60 What is the m'th term of 48, 85, 118, 147, 172? -2*m**2 + 43*m + 7 What is the t'th term of -464, -484, -522, -584, -676? -t**3 - 3*t**2 - 4*t - 456 What is the f'th term of 883, 1741, 2599? 858*f + 25 What is the u'th term of -26, -31, -38, -47, -58? -u**2 - 2*u - 23 What is the w'th term of -1924, -1929, -1938, -1951, -1968, -1989, -2014? -2*w**2 + w - 1923 What is the q'th term of 26, 28, 40, 68, 118? q**3 - q**2 - 2*q + 28 What is the p'th term of 89, 182, 275, 368, 461? 93*p - 4 What is the d'th term of 2391, 4781, 7171, 9561, 11951? 2390*d + 1 What is the f'th term of 43, 32, 21, 10? -11*f + 54 What is the h'th term of -8, 3, 40, 115, 240, 427, 688? 2*h**3 + h**2 - 6*h - 5 What is the b'th term of -146, -131, -90, -11, 118, 309? 2*b**3 + b**2 - 2*b - 147 What is the t'th term of -23, -13, 11, 55, 125, 227? t**3 + t**2 - 25 What is the q'th term of 16, 3, -8, -17? q**2 - 16*q + 31 What is the l'th term of -11438, -11437, -11436, -11435, -11434, -11433? l - 11439 What is the w'th term of 1, 16, 31, 46? 15*w - 14 What is the w'th term of -411, -377, -341, -303, -263? w**2 + 31*w - 443 What is the v'th term of 66, 352, 1132, 2652, 5158, 8896? 41*v**3 + v**2 - 4*v + 28 What is the l'th term of 25, 55, 85? 30*l - 5 What is the z'th term of 16, 55, 142, 295, 532, 871, 1330, 1927? 3*z**3 + 6*z**2 + 7 What is the b'th term of 2, 6, 14, 32, 66, 122, 206, 324? b**3 - 4*b**2 + 9*b - 4 What is the z'th term of 304, 301, 290, 265, 220, 149, 46, -95? -z**3 + 2*z**2 - 2*z + 305 What is the o'th term of -19, -81, -185, -331, -519, -749, -1021? -21*o**2 + o + 1 What is the s'th term of 138, 139, 146, 165, 202? s**3 - 3*s**2 + 3*s + 137 What is the o'th term of -206, -392, -584, -788, -1010, -1256, -1532, -1844? -o**3 + 3*o**2 - 188*o - 20 What is the f'th term of -8382, -8383, -8384, -8385, -8386, -8387? -f - 8381 What is the u'th term of 2787, 2784, 2779, 2772? -u**2 + 2788 What is the d'th term of 35, 11, -35, -109, -217, -365, -559, -805? -d**3 - 5*d**2 - 2*d + 43 What is the s'th term of -128, -150, -200, -290, -432, -638, -920, -1290? -2*s**3 - 2*s**2 - 2*s - 122 What is the f'th term of -106, -108, -110, -112, -114? -2*f - 104 What is the j'th term of 55, 53, 51, 49? -2*j + 57 What is the n'th term of -72, -142, -210, -276? n**2 - 73*n What is the k'th term of 1112, 1115, 1120, 1127, 1136? k**2 + 1111 What is the p'th term of 427, 423, 419? -4*p + 431 What is the x'th term of 8, 22, 52, 104, 184? x**3 + 2*x**2 + x + 4 What is the m'th term of 99, 86, 71, 54, 35? -m**2 - 10*m + 110 What is the m'th term of 18, 90, 210, 378, 594, 858, 1170? 24*m**2 - 6 What is the j'th term of -146, -159, -186, -233, -306, -411, -554? -j**3 - j**2 - 3*j - 141 What is the v'th term of -3, -31, -59? -28*v + 25 What is the o'th term of 25, 12, 15, 40, 93, 180, 307? o**3 + 2*o**2 - 26*o + 48 What is the t'th term of -235, -471, -723, -997, -1299, -1635, -2011? -t**3 - 2*t**2 - 223*t - 9 What is the o'th term of -10, -4, 12, 44, 98, 180? o**3 - o**2 + 2*o - 12 What is the h'th term of 9, -2, -13, -24? -11*h + 20 What is the d'th term of -63, -225, -489, -849, -1299, -1833, -2445? d**3 - 57*d**2 + 2*d - 9 What is the n'th term of 16, 45, 94, 163? 10*n**2 - n + 7 What is the u'th term of 27, 58, 95, 138, 187, 242, 303? 3*u**2 + 22*u + 2 What is the k'th term of -2296, -4605, -6900, -9175, -11424? k**3 + k**2 - 2319*k + 21 What is the g'th term of 27, 26, 35, 60, 107, 182, 291? g**3 - g**2 - 5*g + 32 What is the j'th term of -2009, -2010, -2011? -j - 2008 What is the q'th term of -80, -86, -106, -146, -212, -310? -q**3 - q**2 + 4*q - 82 What is the h'th term of -617, -1234, -1851? -617*h What is the h'th term of 3159, 3162, 3167, 3174, 3183? h**2 + 3158 What is the j'th term of 17, 63, 145, 269, 441? j**3 + 12*j**2 + 3*j + 1 What is the w'th term of 155, 154, 161, 182, 223, 290? w**3 - 2*w**2 - 2*w + 158 What is the a'th term of -19, -17, -17, -19? -a**2 + 5*a - 23 What is the f'th term of 194, 156, 58, -130, -438? -5*f**3 - 3*f + 202 What is the z'th term of 391, 784, 1177, 1570, 1963, 2356? 393*z - 2 What is the h'th term of 7072, 14145, 21218, 28291? 7073*h - 1 What is the g'th term of -74, -103, -132, -161? -29*g - 45 What is the n'th term of -46, -46, -38, -16, 26, 94, 194? n**3 - 2*n**2 - n - 44 What is the y'th term of 30327, 30329, 30333, 30339, 30347, 30357, 30369? y**2 - y + 30327 What is the v'th term of 177, 253, 329? 76*v + 101 What is the k'th term of 114, 446, 998, 1770, 2762, 3974? 110*k**2 + 2*k + 2 What is the a'th term of -68, -133, -196, -257, -316? a**2 - 68*a - 1 What is the c'th term of -418, -415, -412, -409, -406? 3*c - 421 What is the m'th term of -27231, -27227, -27221, -27213, -27203? m**2 + m - 27233 What is the k'th term of -176, -349, -522, -695, -868? -173*k - 3 What is the q'th term of -66, -122, -168, -198, -206, -186? q**3 - q**2 - 60*q - 6 What is the k'th term of 24, 18, 8, -6, -24, -46, -72? -2*k**2 + 26 What is the c'th term of -104, -90, -76, -62, -48, -34? 14*c - 118 What is the t'th term of -75, -80, -85, -90, -95? -5*t - 70 What is the n'th term of -5, -5, -3, 1, 7, 15? n**2 - 3*n - 3 What is the p'th term of 1028, 2049, 3068, 4085, 5100? -p**2 + 1024*p + 5 What is the r'th term of 13, -229, -889, -2177, -4303, -7477, -11909? -35*r**3 + r**2 + 47 What is the q'th term of -233, -248, -279, -332, -413? -q**3 - 2*q**2 - 2*q - 228 What is the j'th term of -24, 0, 96, 294, 624, 1116, 1800? 5*j**3 + 6*j**2 - 29*j - 6 What is the d'th term of -136, -274, -420, -574? -4*d**2 - 126*d - 6 What is the m'th term of -10, -54, -128, -232? -15*m**2 + m + 4 What is the l'th term of 537, 1072, 1607, 2142, 2677, 3212? 535*l + 2 What is the a'th term of 22785, 22783, 22781, 22779? -2*a + 22787 What is the o'th term of 99, 146, 191, 234, 275? -o**2 + 50*o + 50 What is the c'th term of -309, -1277, -2891, -5151? -323*c**2 + c + 13 What is the p'th term of 85, 73, 47, 1, -71, -175, -317, -503? -p**3 - p**2 - 2*p + 89 What is the j'th term of 32, 38, 44, 50, 56? 6*j + 26 What is the h'th term of 641, 637, 631, 623, 613, 601, 587? -h**2 - h + 643 What is the v'th term of 18, 46, 84, 132, 190? 5*v**2 + 13*v What is the m'th term of -51, -209, -473, -843? -53*m**2 + m + 1 What is the q'th term of 138, 271, 406, 543, 682, 823? q**2 + 130*q + 7 What is the k'th term of 121, 119, 115, 109, 101, 91? -k**2 + k + 121 What is the l'th term of 28, 43, 58, 73, 88, 103? 15*l + 13 What is the y'th term of -357, -421, -485, -549, -613? -64*y - 293 What is the n'th term of -146, -310, -476, -644, -814, -986? -n**2 - 161*n + 16 What is the d'th term of -46106, -46107, -46108? -d - 46105 What is the b'th term of -28, -54, -70, -70, -48, 2, 86? b**3 - b**2 - 30*b + 2 What is the j'th term of 40, 155, 344, 607, 944, 1355, 1840? 37*j**2 + 4*j - 1 What is the c'th term of -5432, -5432, -5434, -5438, -5444? -c**2 + 3*c - 5434 What is the g'th term of -287, -571, -853, -1133, -1411, -1687, -1961? g**2 - 287*g - 1 What is the l'th term of 172, 262, 352, 442, 532, 622? 90*l + 82 What is the m'th term of 163, 322, 481? 159*m + 4 What is the l'th term of -844, -3380, -7608, -13528, -21140, -30444, -41440? -846*l**2 + 2*l What is the m'th term of 8, 21, 42, 71, 108, 153, 206? 4*m**2 + m + 3 What is the f'th term of 175, 164, 147, 124, 95, 60, 19? -3*f**2 - 2*f + 180 What is the w'th term of 5575, 5574, 5573, 5572, 5571, 5570? -w + 5576 What is the c'th term of 29, 50, 81, 128, 197, 294, 425? c**3 - c**2 + 17*c + 12 What is the h'th term of -130, -142, -176, -244, -358, -530? -2*h**3 + h**2 - h - 128 What is the n'th term of 1560, 1562, 1564, 1566? 2*n + 1558 What is the b'th term of 41,
{ "pile_set_name": "DM Mathematics" }
gether 538.12 and 14898. 15436.12 What is -70142 + 1.4? -70140.6 Add 68485 and -43878. 24607 Work out 16.99 - 2480.4. -2463.41 What is -0.5 take away -172199519? 172199518.5 What is -8634.9 plus -378? -9012.9 Calculate -30.1862664 + -1. -31.1862664 What is the distance between -1488799 and -0.02? 1488798.98 Subtract -0.14123 from -0.611. -0.46977 What is 425 - 1162164? -1161739 What is -0.15 less than 1211895165? 1211895165.15 -30+607695 607665 Total of 244631.5 and 0.3. 244631.8 What is -1.568 minus 4794715? -4794716.568 What is 0.034834 - -0.1861? 0.220934 Put together -6874883478 and -0.1. -6874883478.1 Work out -15.982 + -1139.8. -1155.782 What is 0.03756085671 minus 5? -4.96243914329 Work out 53814587 + 33.4. 53814620.4 What is -627 take away 5.32383? -632.32383 Subtract 20308843 from 0.5. -20308842.5 What is -49791860 minus -42.8? -49791817.2 Calculate 45132 - -6.26. 45138.26 Add together 148363.9063 and -4. 148359.9063 What is the distance between 5326 and -6431099? 6436425 Calculate 0.134 + 70973. 70973.134 Calculate 51.91428 - -1.5784. 53.49268 Work out 0.3 - -146693.8999. 146694.1999 What is 47662924 minus -5? 47662929 Calculate -0.90660461 - -83.1. 82.19339539 3272.21 + -1.02 3271.19 Add together -2 and 8.674454. 6.674454 Calculate -75286517 - 17. -75286534 Calculate -90 - 8626.4. -8716.4 What is -5 minus 1824891747? -1824891752 Put together 1.1026095 and 16. 17.1026095 What is -757 plus 38312.45? 37555.45 What is -1.8 - -490.47616? 488.67616 What is -787879651 - -0.6? -787879650.4 Total of 0.0658 and -5004. -5003.9342 What is 0.3 less than -0.610473218? -0.910473218 What is 259 plus -1283.55? -1024.55 Work out 1371249 + 10612. 1381861 What is 18268 take away -0.368? 18268.368 Put together -129357231 and -0.2. -129357231.2 Add together 27 and -114037005. -114036978 Sum -1 and 15534613.4. 15534612.4 -284+1152950 1152666 Work out -16455.01 + -80.2. -16535.21 What is 1 plus 44306957? 44306958 Sum 1580 and -2273. -693 Add together -367798 and 4739. -363059 Calculate 11221677 - 635. 11221042 Sum 0.0691 and -0.18038. -0.11128 What is -5011347 - 0.039? -5011347.039 -1142016 + 1693 -1140323 What is -351673 + 0.207? -351672.793 What is the difference between -0.1102733 and 7? 7.1102733 What is -600.17 - -65? -535.17 Work out -147704701 - 10. -147704711 What is 40526931 + 0.1? 40526931.1 What is 587 minus 0.05419? 586.94581 What is 33724 less than 133219.1? 99495.1 Calculate 0 + -4217629520. -4217629520 Put together 2730923.5 and -309. 2730614.5 What is -36772 plus -0.584? -36772.584 Work out 1492 + -1640.363. -148.363 Work out 6 - -119358. 119364 What is 21.8021 minus -278972? 278993.8021 Add together -205857 and -0.11. -205857.11 -514.305 - 1041 -1555.305 Calculate -0.09461 + -859. -859.09461 Work out 0.239 - -43781343. 43781343.239 Subtract 0.05995394 from 0.4. 0.34004606 What is 0.2 less than -3.770955342? -3.970955342 Put together -9538.7 and 1.277. -9537.423 What is -1746 less than -0.4748? 1745.5252 What is the difference between 1675434789 and 39? 1675434750 Sum 8125 and 14517. 22642 What is -0.2 plus 513858.9? 513858.7 What is 682 minus -20.9858? 702.9858 What is -220261 minus 80? -220341 Work out -0.4 - 33566655. -33566655.4 Work out -486802 + -510. -487312 What is -0.549787168 minus 155? -155.549787168 What is 95240.2148 plus 1? 95241.2148 5.2340705 + -0.12 5.1140705 0.1+-3728264 -3728263.9 What is the difference between 0.3 and 4403.856504? 4403.556504 What is -2 + -1003383? -1003385 What is -72929 + 1.829? -72927.171 What is the distance between -0.00775 and -5973? 5972.99225 Put together -148.3 and -49918. -50066.3 Total of -0.01977 and -1447.3282. -1447.34797 -0.04525 - 0.05425 -0.0995 Add -4113853.24 and 0.2. -4113853.04 What is 7354417 + 2? 7354419 Sum -3 and 27925.8063. 27922.8063 Calculate -1502.5144 + 54. -1448.5144 Calculate 24 + 6.21555318. 30.21555318 What is -0.3194655 + 1528? 1527.6805345 What is the difference between 475 and 8.571? 466.429 Calculate 0.05161 - 9.29911. -9.2475 Work out 13982.67 - -0.1109. 13982.7809 -6077.877+-0.04 -6077.917 Calculate 1004999 + 2. 1005001 Subtract 1 from 614.3330609. 613.3330609 Add 4555.891 and -3342. 1213.891 What is 194204.8 + 0.897? 194205.697 Calculate 26426929 - -22. 26426951 6082 - -120993 127075 -0.027 + 74.758 74.731 Add 7381 and -4986. 2395 3356173+54 3356227 What is 0.36046 less than -14863? -14863.36046 Put together 9121.099 and 0. 9121.099 What is -1.765 minus -3299? 3297.235 What is 434116 minus -714? 434830 Subtract 0.315 from 165804895. 165804894.685 Put together -0.726 and 158190. 158189.274 Calculate -17063 - 757526. -774589 Sum -902 and -7653. -8555 What is -274 less than 68851? 69125 -258116 - -0.1222 -258115.8778 What is 803652 take away -0.3002? 803652.3002 What is 73.579 - -243876? 243949.579 Subtract -906.9642 from -0.3. 906.6642 -18743 + -516.6 -19259.6 Work out 6 - 1.10472407. 4.89527593 Total of 6.6 and 2993. 2999.6 Subtract 202 from 207947501. 207947299 What is -4.2 less than 5682.1? 5686.3 Add together -3.888 and 61931. 61927.112 What is 5 - -9759.4674? 9764.4674 -2775044.9 - -0.09 -2775044.81 Work out 0 + -0.4995357. -0.4995357 309 + -515.34 -206.34 What is the distance between -847284073 and 12? 847284085 What is -2 + -29857093? -29857095 What is -580646269 - 0.08? -580646269.08 Total of 40747.27 and 157. 40904.27 What is the difference between 1.72 and -9052? 9053.72 66.51 + -431.7756 -365.2656 What is 3394257 take away -8761? 3403018 What is 28712 less than -120377? -149089 Total of -310 and -0.0880484. -310.0880484 Add together -14 and 754336087. 754336073 Work out 0 - 23531.27007. -23531.27007 Sum 301715223.5 and -5. 301715218.5 Calculate 0.06270118 + 14. 14.06270118 What is the distance between -956241 and 1.16? 956242.16 -33 - 38228917 -38228950 What is the difference between 0.4 and -33898.622? 33899.022 -14339539.7+-0.1 -14339539.8 Subtract 393998 from -77. -394075 What is the distance between 65.4 and -17796? 17861.4 What is -24882123952 - 0? -24882123952 Add together 2 and -504992899. -504992897 What is 1 less than -33.951872? -34.951872 Calculate -233.2693725 + 30. -203.2693725 What is the distance between 259140.9 and -4.5? 259145.4 Add 61 and 2920.166. 2981.166 Calculate 51 - 54472. -54421 Add together -5 and -16628401.953. -16628406.953 Add together 0.1 and -16615866. -16615865.9 Subtract 142.173828 from 0.3. -141.873828 Sum 48207831 and 0.1. 48207831.1 What is 414.9575578 minus -0.3? 415.2575578 Subtract -11817496.468 from 0.11. 11817496.578 Total of -4 and 1657348712. 1657348708 What is the difference between 0.2 and -21853889? 21853889.2 What is -1139 minus -1954.8? 815.8 Add 592610 and 386. 592996 What is the distance between 67 and 19292079? 19292012 -0.05 - 8628147 -8628147.05 Calculate -123012245.127 - -0.1. -123012245.027 Total of 9776380 and 0.051. 9776380.051 What is 3868 less than -0.03135? -3868.03135 What is -389.9 take away -3024779? 3024389.1 Total of 0.02 and 1889.569. 1889.589 Calculate -37774367 - 1.1. -37774368.1 Total of -117 and -5.185468. -122.185468 What is 14.136 + 660? 674.136 Put together 3.80229 and -20. -16.19771 What is -7 less than 844164838? 844164845 -56.547248+-12 -68.547248 Put together -199.791 and 383. 183.209 What is the difference between 0.0856227 and -0.05? 0.1356227 What is 0.1 take away -16722483? 16722483.1 Subtract 2.09364026 from -0.5. -2.59364026 What is -5 + -4375495? -4375500 -27202806325 - 4 -27202806329 What is 0.274438997 plus -10? -9.725561003 Add together -4 and 26801766. 26801762 Calculate -334.52 - 1728337. -1728671.52 Subtract 23.392 from -10.1. -33.492 Sum -183.64 and -1310135. -1310318.64 Add -0.447 and -747.7. -748.147 Put together -4 and -22.6206165. -26.6206165 Calculate 0.106383321 + 0.989. 1.095383321 What is 66.72 less than -3247? -3313.72 Calculate -3 - 4786901. -4786904 Total of -2072 and -59309. -61381 26 - 180516529 -180516503 Put together -0.1 and -3.94437947. -4.04437947 What is 0.39208216 + -0.12? 0.27208216 Subtract 6.9 from 0.08694887. -6.81305113 Work out 130.338 - -0.032. 130.37 What is 44.26 + 0.1634331? 44.4234331 Sum 1013 and 98.31. 1111.31 Total of 88727862 and -5. 88727857 Subtract 1 from 71519.62. 71518.62 Add together -8562 and -10473223. -10481785 What
{ "pile_set_name": "DM Mathematics" }
ound 60332851 to the nearest one million. 60000000 Round 4.997636362 to 2 dps. 5 Round -0.00326621578 to four dps. -0.0033 What is -3087683.021 rounded to the nearest 1000000? -3000000 What is -150853.13 rounded to the nearest 1000? -151000 What is -266864.937 rounded to the nearest 1000? -267000 What is -2.17767629 rounded to 4 decimal places? -2.1777 Round -129177.351 to the nearest 1000. -129000 What is 0.000000413496925 rounded to 7 decimal places? 0.0000004 What is -4210896.593 rounded to the nearest one thousand? -4211000 Round 19622.10321 to the nearest 1000. 20000 What is -0.556911397 rounded to 1 decimal place? -0.6 Round 0.0011977804798 to 4 decimal places. 0.0012 What is 0.019869797 rounded to five dps? 0.01987 What is 79768.0157 rounded to the nearest 1000? 80000 Round -15592850 to the nearest one thousand. -15593000 What is -0.0000052809133 rounded to six decimal places? -0.000005 What is -2178366.013 rounded to the nearest 100? -2178400 What is 399148.844 rounded to the nearest 100? 399100 Round 0.01914366682 to five dps. 0.01914 Round 0.000076525369 to seven decimal places. 0.0000765 What is -1032431.42 rounded to the nearest one hundred? -1032400 Round 8517.6626 to the nearest one hundred. 8500 What is 503505.003 rounded to the nearest 100? 503500 What is -5308156005 rounded to the nearest 1000000? -5308000000 Round 23576.463 to the nearest one thousand. 24000 What is 1.10911992 rounded to three decimal places? 1.109 What is -51416904.66 rounded to the nearest ten thousand? -51420000 What is -77320185 rounded to the nearest 1000000? -77000000 What is -138538.374 rounded to the nearest 10? -138540 What is -62.10080508 rounded to the nearest 10? -60 Round -538818.86 to the nearest one thousand. -539000 Round 448494.753 to the nearest ten thousand. 450000 Round 948756.5633 to the nearest one hundred thousand. 900000 What is -5213615.9 rounded to the nearest 100? -5213600 What is -440.087575 rounded to the nearest ten? -440 What is 0.093800846 rounded to 4 decimal places? 0.0938 What is 0.66461568 rounded to 2 decimal places? 0.66 What is 1482797723 rounded to the nearest 10000? 1482800000 What is 0.0000023535161 rounded to seven dps? 0.0000024 Round 0.00007253081353 to 5 dps. 0.00007 Round 42166417.08 to the nearest 1000. 42166000 Round 118085.737 to the nearest 100. 118100 What is 293.163891 rounded to one dp? 293.2 Round 1.12769758 to two decimal places. 1.13 What is -5066390800 rounded to the nearest one million? -5066000000 Round -7.5890123 to 2 decimal places. -7.59 What is 164.706519 rounded to 1 dp? 164.7 What is -574100.589 rounded to the nearest one million? -1000000 What is -0.0813218593 rounded to 5 dps? -0.08132 Round 788.0564329 to the nearest integer. 788 Round 0.000077618225 to 5 decimal places. 0.00008 What is 0.030132858 rounded to two decimal places? 0.03 Round -25.8626506 to two decimal places. -25.86 Round -1292.489381 to the nearest 100. -1300 What is -1.0968333701 rounded to 5 dps? -1.09683 What is -0.00000072141868 rounded to seven dps? -0.0000007 What is 94480300 rounded to the nearest 1000000? 94000000 What is 4.83901889 rounded to 3 decimal places? 4.839 What is -0.00415117693 rounded to 7 dps? -0.0041512 Round -60969.91442 to the nearest 1000. -61000 Round -0.0000013361027 to 7 decimal places. -0.0000013 Round 0.000000354921982 to 7 dps. 0.0000004 Round -12.6668995 to two decimal places. -12.67 Round 125084.95398 to the nearest 10000. 130000 What is 397.428453 rounded to one decimal place? 397.4 Round 146620724 to the nearest 100000. 146600000 What is -23.2501436 rounded to 0 decimal places? -23 Round 0.000009123526406 to seven decimal places. 0.0000091 Round -12852195.18 to the nearest 100000. -12900000 Round 4190666.1 to the nearest one million. 4000000 Round 2.3917912 to one decimal place. 2.4 What is -0.001077903 rounded to seven decimal places? -0.0010779 Round -0.000385633273 to five dps. -0.00039 Round -0.00000880240839 to 7 dps. -0.0000088 What is -3.31342086 rounded to 2 dps? -3.31 Round -906130.479 to the nearest 1000. -906000 What is 0.000000435578556 rounded to 7 decimal places? 0.0000004 What is 71.55049 rounded to 1 dp? 71.6 Round -39.71602841 to the nearest ten. -40 Round 0.00362645533 to 7 dps. 0.0036265 Round -0.0000621425325 to 6 decimal places. -0.000062 Round 20947594400 to the nearest 1000000. 20948000000 Round 328.6023835 to the nearest ten. 330 Round -12363.13 to the nearest 1000000. 0 Round -59262752.1 to the nearest one million. -59000000 Round -267781.61 to the nearest 100000. -300000 Round 14860.20919 to the nearest integer. 14860 What is -0.229852606 rounded to 5 decimal places? -0.22985 What is 19169.4417 rounded to the nearest ten? 19170 What is -0.000010876321357 rounded to seven decimal places? -0.0000109 What is 0.0084206354 rounded to six decimal places? 0.008421 Round -0.03183032597 to 3 dps. -0.032 What is -12920467.7 rounded to the nearest 1000000? -13000000 What is -123428107.3 rounded to the nearest one million? -123000000 What is 1221056.1 rounded to the nearest 1000? 1221000 Round 830.5977992 to the nearest ten. 830 Round 0.000124782146 to 6 dps. 0.000125 Round 0.00026583915 to five dps. 0.00027 What is 4557.179181 rounded to the nearest one hundred? 4600 Round 1552.4000083 to the nearest 10. 1550 What is 0.01760802067 rounded to six dps? 0.017608 Round -559969.5449 to the nearest 100000. -600000 What is 2239970.892 rounded to the nearest 100? 2240000 What is 0.1030683143 rounded to 2 dps? 0.1 What is 0.101777052 rounded to 2 dps? 0.1 Round 1.809990295 to 4 dps. 1.81 What is 4759079.38 rounded to the nearest one hundred thousand? 4800000 What is 112549.32244 rounded to the nearest 10000? 110000 What is -0.003244599761 rounded to seven decimal places? -0.0032446 Round 3633370.043 to the nearest one thousand. 3633000 What is 136446818 rounded to the nearest one hundred thousand? 136400000 What is 0.1078510394 rounded to three decimal places? 0.108 Round 127565.8163 to the nearest integer. 127566 What is -0.23574311 rounded to three decimal places? -0.236 Round -621164.753 to the nearest 10000. -620000 What is 0.05285324622 rounded to four decimal places? 0.0529 Round 3421.438164 to the nearest 10. 3420 What is -25254.315 rounded to the nearest ten thousand? -30000 What is 0.6686246 rounded to the nearest integer? 1 What is -0.0000361600485 rounded to 7 decimal places? -0.0000362 What is 0.00053082777 rounded to 7 dps? 0.0005308 What is 0.000214660254 rounded to 5 dps? 0.00021 Round 1.75438824 to two decimal places. 1.75 Round 0.001022058509 to 5 dps. 0.00102 Round 2.8131294 to one decimal place. 2.8 Round -3708.3373 to the nearest 100. -3700 Round 0.01719356651 to 6 dps. 0.017194 Round 39603.4826 to the nearest ten thousand. 40000 Round 3.719607272 to one decimal place. 3.7 Round 0.000002425595116 to seven dps. 0.0000024 What is -0.00037521171 rounded to four decimal places? -0.0004 What is 0.000079739517 rounded to 7 decimal places? 0.0000797 Round 503514033 to the nearest 100000. 503500000 Round 47.8324817 to three dps. 47.832 Round 2331.127629 to the nearest one hundred. 2300 Round 0.066233036 to four dps. 0.0662 Round 8.7273556 to 1 dp. 8.7 Round 2013.9912 to the nearest 10. 2010 Round -0.00002244075 to 6 decimal places. -0.000022 Round -0.0054783979 to five dps. -0.00548 What is 0.00667991067 rounded to three decimal places? 0.007 What is 2082.8359 rounded to the nearest ten? 2080 Round 195.212756 to the nearest 10. 200 Round -1207.081498 to 0 dps. -1207 Round -1410851625 to the nearest one million. -1411000000 What is -140420.64 rounded to the nearest 100? -140400 What is 915896357 rounded to the nearest 100000? 915900000 Round 1169122.63 to the nearest 100000. 1200000 What is 7497.746458 rounded to the nearest 1000? 7000 Round -866.580285 to the nearest one hundred. -900 Round 384385086.9 to the nearest one million. 384000000 Round 5535953.874 to the nearest 100000. 5500000 What is 1350086638 rounded to the nearest 10000? 1350090000 Round -28914.54631 to zero decimal places. -28915 What is -22.02242372 rounded to the nearest 10? -20 What is -4.03712979 rounded to one decimal place? -4 What is 74833287 rounded to the nearest 1000000? 75000000 Round 106.05
{ "pile_set_name": "DM Mathematics" }
/(-2)*(-1)/(-1). Let u be (-2 - o)/(-2)*-2. Let i be ((-60)/(-50))/(u/(-5)). What is the greatest common factor of 33 and i? 3 Suppose 7*a + 1 = 15. Suppose -6*j + 48 = -a*j - 4*i, -4*j + 3*i + 46 = 0. Suppose 2*m = -2*m + 160. What is the greatest common divisor of j and m? 10 Let d be (-1276)/6*(-111)/74. Calculate the highest common divisor of d and 116. 29 Let h be 15*1/(-2) - (-1)/2. Let v(f) = -5*f - 13. Let x be v(h). What is the greatest common factor of 176 and x? 22 Let h(b) = -7*b**2 + 6*b - 14. Let a(p) = -4*p**2 + 3*p - 7. Let n(k) = 5*a(k) - 3*h(k). Let c be n(4). Calculate the greatest common divisor of c and 33. 11 Let d(j) = -4*j + 108. Let o be d(20). Calculate the highest common factor of 7 and o. 7 Let q(t) = t**2 + 8*t + 4. Let l be 0/1 - (0 - -9). Let g be q(l). Let f be 39/2*(-4)/(-6). Calculate the highest common factor of f and g. 13 Let d(g) = -g - 102. Let u(f) = f + 51. Let o(i) = 3*d(i) + 5*u(i). Let a be o(31). What is the greatest common factor of a and 99? 11 Suppose -4*a - 4 = 0, -426 = -5*x - 17*a + 13*a. What is the greatest common divisor of x and 602? 86 Let i(f) = 1. Let p(w) = 10*w - 4. Let s(m) = 6*i(m) + 3*p(m). Let k be s(2). Calculate the highest common factor of 18 and k. 18 Suppose 0 = 4*i - 427 - 789. Let k be (-1)/(-3) - i/12. Let f = k - -52. What is the highest common factor of f and 9? 9 Let b be (-1 - (-88)/(-2))*(-34)/51. Calculate the highest common factor of b and 42. 6 Suppose 2*k + 18*p - 2272 = 20*p, -5*p + 4526 = 4*k. What is the greatest common factor of k and 54? 54 Let t be 5*(2 - (-1 - -2)). Suppose 5*f + 278 = -5*i + 328, -5*i = 2*f - 5. What is the highest common factor of f and t? 5 Suppose -a - 1 = -8. Let r be (-3)/a + 261/21. What is the highest common divisor of r and 108? 12 Suppose -6*i + 8 + 4 = 0. Let x(h) = -h**3 + 7*h**2 - h - 6. Let k be x(-6). Suppose i*f - k = -2*f. Calculate the highest common divisor of f and 13. 13 Suppose 2*p - 12 = -2*m, 0 = -5*p + 3*m - 0*m + 30. What is the highest common divisor of 96 and p? 6 Suppose -5*k = m - 2*m - 35, 20 = 5*k - 4*m. Suppose -11 = 4*p + 9. Let d = p + k. Calculate the highest common divisor of d and 27. 3 Let l(w) = -w**2 + 2*w - 12. Let p be l(5). Let q = -17 - p. Let b be (-1380)/q*2/(-4). Calculate the highest common divisor of 46 and b. 23 Let x = -413 + 553. What is the greatest common divisor of x and 224? 28 Let p(r) = -16*r + 560. Let d be p(27). Calculate the highest common divisor of d and 1216. 64 Suppose -5*k + 2*d = -729, 3*k - 24*d = -20*d + 429. Calculate the highest common factor of 245 and k. 49 Suppose -690 = -5*s - 18*s. Calculate the greatest common divisor of 1020 and s. 30 Suppose -2*b + 40 = a, 0 = -6*b + 8*b. Let p be 1 - (-318)/(-4)*-2. What is the highest common factor of a and p? 40 Suppose -2835 = 121*y - 142*y. Let c be ((-6)/(-4))/(1/10). Calculate the highest common factor of y and c. 15 Suppose 0*l = -j - 5*l + 109, -415 = -5*j + l. What is the highest common factor of 12 and j? 12 Suppose 6*v - 240 = -0*v. Let b = 11 - 3. Suppose -4*h + 56 = 2*c, 0*h - b = -h - 2*c. What is the highest common divisor of v and h? 8 Let y = 0 - -9. Suppose 13 = 4*w + y. Calculate the highest common divisor of w and 5. 1 Let d(f) = f**3 + 6*f**2 - 8*f + 8. Let p be d(-7). Suppose 5*z - 7 - 158 = 0. Let l = z + -18. Calculate the greatest common divisor of l and p. 15 Let w(f) = -2*f**2 - 2*f - 13. Let k(d) = -5*d**2 - 5*d - 25. Let j(p) = 3*k(p) - 7*w(p). Let t be j(0). What is the highest common factor of t and 16? 16 Let v = 60 - 42. Let b be (-6)/4*(-24)/6. Suppose 131 = b*q - 193. Calculate the greatest common divisor of v and q. 18 Let p = 32 + -70. Let h = p - -113. What is the greatest common factor of 15 and h? 15 Suppose -3*o + 48 = -4*v + 7*v, 12 = 4*v. Let h be 26*(0 - 3/(-2)) - 0. Calculate the greatest common factor of h and o. 13 Let w = -4 - -8. Suppose 4*x = -5*l + 289 - 77, l - 28 = w*x. What is the greatest common factor of l and 16? 8 Let i be 9 + 1*(1 - 1). Suppose -2*f = -o - 32, -1434*o = f - 1437*o - 6. Calculate the highest common divisor of i and f. 9 Let j = -17 - -33. Let d(t) be the third derivative of 11*t**5/6 + t**4/6 - t**3/3 + 12*t**2. Let b be d(1). What is the highest common factor of b and j? 16 Suppose 52 - 168 = 4*s. Let t(u) = u**2 + 24. Let h be t(-6). Let q = s + h. Calculate the greatest common divisor of 248 and q. 31 Let s = -62 + 100. Let v = -8 + s. Calculate the greatest common divisor of 120 and v. 30 Let j be (-1 + 653/2)*102/153. Calculate the greatest common factor of 186 and j. 31 Let z = 1298 - 1182. What is the highest common divisor of 87 and z? 29 Let d be 45/(-30) - (-3)/2. Let z(b) be the first derivative of -b**4/4 - b**3/3 + 8*b + 10. Let g be z(d). What is the highest common factor of g and 24? 8 Suppose -152 = -234*x + 226*x. Calculate the greatest common factor of x and 1. 1 Let b be ((-16)/12)/(-4)*51. Let i = b + -7. Suppose -p = 5*n - 20, -2*n = -p + 5*p + i. Calculate the greatest common factor of n and 45. 5 Let a(c) = 10*c + 2. Let i(m) = -1. Let p(q) = -a(q) + 4*i(q). Let j be (1 - 1)/8 + -6. Let f be p(j). What is the greatest common divisor of f and 135? 27 Suppose -5*p - 104 = -294. Calculate the greatest common factor of 19 and p. 19 Let w = 123 - -53. Calculate the highest common divisor of 22 and w. 22 Let y(z) = z + 14. Let c be ((-4)/6)/(11/(-429)). Let w be y(c). Calculate the greatest common factor of w and 32. 8 Suppose -5*d = 2*l + l - 21, -3*d - 69 = -5*l. Let h = 398 - -62. Suppose -5*f = -20 - h. What is the greatest common factor of f and l? 12 Let m be (-3)/2 - (-110)/4 - 3. Let h = 19 + m. What is the highest common factor of 462 and h? 42 Suppose -4*q = 3*c - 1012, -1047 = -5*q - 3*c + 221. Suppose -3*z - 2*i = -88, -3*i = -8*i - 20. Calculate the greatest common divisor of q and z. 32 Let p = -37 + 34. Let o = 2 - p. Calculate the highest common divisor of o and 15. 5 Let s = -6 - -11. Suppose 0 = -3*u + x + 262, s*u = 2*x + 412 + 26. Suppose -20 = 2*c - u. Calculate the greatest common factor of c and 3. 3 Suppose 5520 = 41*c - 33*c. Calculate the highest common factor of 60 and c. 30 Suppose -314 - 94 = -6*s. Calculate the greatest common factor of s and 544. 68 Let h(v) = 9*v**3 + 5*v**2 - 25*v. Let u be h(7). Calculate the highest common divisor of 41 and u. 41 Let y = -187 - -203. Calculate the greatest common factor of y and 280. 8 Let b = 536 + -504. Calculate the highest common divisor of 1 and b. 1 Suppose 0 = -2*z + 4*f - 4, f = -3*z - z + 1. Suppose 0 = x, z = -k + 5*k - 4*x - 32. Calculate the highest common factor of k and 8. 8 Suppose -4*a + 22 = -14. Let f(n) = -25*n - 2137. Let w be f(-88). Calculate the greatest common divisor of w and a. 9 Suppose -2*f - f + 210 = 0. Calculate the greatest common factor of f and 56. 14 Let t(o) = -o**3 - 6*o**2 - 4*o - 9. Let x be t(-6). Suppose -l - 4*l + x = 0. Suppose -3 + 6 = l*i. Calculate the greatest common divisor of 5 and i. 1 Suppose -y + 36 = 2*a, -19*y + 17*y + 84 = -2*a. Calculate the greatest common divisor of 680 and y. 40 Let u(t) = 3*t + 279. Let d be u(11). Calculate the greatest common factor of d and 39. 39 Let n = -318 + 321. Let d = -4 - -1. Let v be (d/4)/(5/(-140)). What is the greatest common divisor of n and v? 3 Suppose -3*i = -44 - 16. Suppose -i = -b - 3*t, 5*b + 4*t - 56 = b. What is the highest common divisor of 11 and b? 11 Suppose -2*x - 16*x = -252. What is the greatest common factor of 63 and x? 7 Suppose -4*o - 2997 = -r, -5*r + 16*o = 12*o - 14921. What is the highest common divisor of 11 and r? 11 Let y be (-124)/(-6)*(6 - 9). Let z = -26 - y. Calculate the highest common factor of z and 24. 12 Let g = -116 - -166. Suppose h - 3*h + g = 0. Let r be (-2 + 4)/(-6)*0 - -275. Calculate the highest common factor of r and h. 25 Let i(q) = 45*q**2 - 4*q - 4. Let f be i(-2). Suppose -t + 148 = t. Suppose s = f - t. Calculate the greatest common divisor of s and 10. 10 Let q = -243 - -249. Calculate the greatest common divisor of q and 33. 3 Suppose 3*p - 11 = 61. Let d = 2 + 6. Calculate the highest common factor of d and p. 8 Let p = 131 + 40. What is the highest common divisor of 19 and p? 19 Let w = -15 + 42. Suppose -w = -h - 2*h.
{ "pile_set_name": "DM Mathematics" }
515 (b) 14 (c) -81 a What is the third smallest value in 1/3, 4/3, -4/3, 19702? 4/3 Which is the second biggest value? (a) 3135.1087 (b) -1 (c) -2 b What is the second biggest value in -1/7, 2703.1, 10, 1? 10 Which is the fifth biggest value? (a) 3 (b) 1 (c) -5 (d) 6 (e) -0.22 (f) -21/68 f What is the biggest value in -1.539824, 5, 11/5? 5 Which is the fourth biggest value? (a) 1/6 (b) 81308 (c) 2 (d) 5 (e) 0.28 (f) -1/6 e Which is the biggest value? (a) -11/19 (b) -7551 (c) -4/5 a What is the smallest value in -0.6, 1/4, -7900/19? -7900/19 What is the second smallest value in -0.03, -7216878, 0.2? -0.03 What is the second biggest value in 3.426093, 1, 14? 3.426093 What is the third smallest value in 656/359853, 3, -3/8? 3 Which is the fourth biggest value? (a) 13/41 (b) 6 (c) 5 (d) -0.2 (e) -1 d Which is the fifth biggest value? (a) 5 (b) 2 (c) -1072 (d) -5 (e) 0.2 (f) 0.39 d What is the smallest value in -23, 2, 0.3, -2/9, 1/192, -4, -11? -23 What is the biggest value in -3, 1.83, 2, -2, 11/30? 2 Which is the second biggest value? (a) -10 (b) -0.1 (c) 267/119 b What is the fourth smallest value in 2/15, 6166, 4, -3, -27/49? 4 Which is the fourth biggest value? (a) -1/20 (b) 1/8 (c) -2/17 (d) 45 (e) 431 a Which is the third smallest value? (a) 0.6 (b) 0.1 (c) 2/57 (d) -0.9 (e) -2/41 c What is the second smallest value in -0.1, 543109/10, 25? 25 What is the seventh smallest value in -1/3, -1.2, -0.6, -1/4, 101, -0.1, -5/3? 101 Which is the biggest value? (a) -0.5 (b) 3 (c) -2 (d) 35889 d Which is the third smallest value? (a) -1 (b) -173 (c) 1 (d) -0.576 (e) -3/4 e Which is the smallest value? (a) 5/6 (b) 32 (c) 1/3 (d) -6788 (e) 1/4 d What is the third smallest value in -0.08, 3/150593, 1/4, 1? 1/4 Which is the third smallest value? (a) -986 (b) 0.5 (c) -0.5 (d) 89713 b Which is the second biggest value? (a) 5 (b) -4/7 (c) 0.06 (d) -0.01 (e) 1 (f) -4 (g) 882 a Which is the seventh smallest value? (a) -5 (b) -0.2 (c) -1 (d) -11 (e) 3 (f) 501 (g) 9 f Which is the fourth biggest value? (a) -3/5 (b) 0 (c) 4 (d) 0.06 (e) -63 (f) 1/19922 b Which is the fifth smallest value? (a) -2194 (b) -4 (c) 3 (d) -0.3 (e) 80 (f) -1/5 c What is the fifth smallest value in -2/11, -4, 2, -351, -84/25, 12, -2/15? -2/15 Which is the sixth smallest value? (a) -1 (b) 2 (c) -0.3 (d) -3 (e) -2/13 (f) -5147 (g) -2 e What is the second biggest value in -0.04, -5, -2/261, -1/150, -0.5, 1? -1/150 What is the fifth biggest value in -2/11, 0.2, -3, -1.7, 128? -3 Which is the fourth smallest value? (a) 1382 (b) 1/23 (c) 9 (d) -91 a Which is the biggest value? (a) -38 (b) 2.2 (c) 7 (d) 2/11 (e) 2/7 (f) -43 c Which is the third biggest value? (a) 0.2 (b) 2.5 (c) -13584 c Which is the fourth biggest value? (a) 0.1 (b) 428 (c) -7 (d) 0.11 (e) 2 a Which is the second smallest value? (a) 3 (b) -0.5 (c) -2/23 (d) 110755/4 c Which is the second smallest value? (a) 140358 (b) 1/3 (c) -5 (d) -2/55 d Which is the biggest value? (a) -6 (b) 88 (c) -4/4297 b Which is the second biggest value? (a) -2.6 (b) -0.1 (c) -162954 a Which is the second smallest value? (a) -1/12 (b) 0.03 (c) -705.143 a What is the fourth biggest value in 46865, 1/27, 15, -0.1? -0.1 What is the smallest value in -1/1731, -7418.3, -0.1? -7418.3 What is the second biggest value in 47, 3, -0.1, -0.2122, 30, 1, -4? 30 What is the second biggest value in -90180, -23, 4? -23 What is the fifth biggest value in 4, 1041, -3, -0.2, 2/11, 0.05, 1? 0.05 What is the second biggest value in 15, -3, 3, -2, 192, 3/10, 0.2? 15 What is the third biggest value in -0.3, -0.09, 10806, 1.6, 0? 0 What is the third smallest value in 5, 141870, -42? 141870 What is the third smallest value in 2, -2, 20.7575, 4, -1.04? 2 What is the fourth smallest value in -29, 81, 1, 100, -9? 81 Which is the third biggest value? (a) -0.2 (b) -8069/229 (c) 0.4 (d) 1 a Which is the fourth biggest value? (a) -42379 (b) -195 (c) -3 (d) -0.2 (e) 2/11 b What is the seventh biggest value in -2/179, 5, -2/9, -0.12, 16, 2/5, -5? -5 Which is the third smallest value? (a) 3/185 (b) -2 (c) 10 (d) 7 (e) 6 (f) 1 (g) -5 a Which is the third biggest value? (a) 5 (b) 0.81 (c) 5/3 (d) 4/9 (e) 0.01445 (f) -1 (g) -5 b What is the third smallest value in 8, 0.35, 168/145? 8 What is the third biggest value in -0.4, 623, -0.3, -0.146, 3? -0.146 What is the smallest value in 0, 0.416, -1/281, 0.2, 1/3? -1/281 Which is the third smallest value? (a) -0.2 (b) 5 (c) 0.309644 b What is the smallest value in -4, -202, -5, -3400? -3400 What is the third smallest value in -3, 10/15123, -5, -2/3? -2/3 Which is the third biggest value? (a) -6/268009 (b) -39 (c) 0.3 (d) 2/7 a What is the third smallest value in -0.03, 1/26, 0.033, 5/2, -1? 0.033 What is the third biggest value in -0.3, -0.4, 0, 0.4, -3/5, 2/1727? 0 What is the fourth biggest value in -2/5, -37, -41, 42, 4, 3/5? -2/5 Which is the second biggest value? (a) 88 (b) -3 (c) -72416 b Which is the third biggest value? (a) -2368.844 (b) -1 (c) -4 a Which is the fourth biggest value? (a) -3 (b) 1/5 (c) -14 (d) 0.4 (e) 4 (f) 11 b What is the third biggest value in 2442, 0.3, -38, 1? 0.3 What is the fourth smallest value in -2/5, 93, 74/15, -3, -2, -4/5? -2/5 What is the third biggest value in -1, -1/10, -25/2, 14/1537? -1 What is the second biggest value in -726, 78/5, -23? -23 Which is the second biggest value? (a) -3.2 (b) 3 (c) -130 (d) -136 (e) -5 (f) -3 (g) 2/3 g Which is the biggest value? (a) -1390.95 (b) -0.3 (c) -0.09 c Which is the smallest value? (a) -467/3 (b) 2 (c) -2/3 (d) -0.85 (e) -2/7 a What is the second smallest value in 3, -3, 2/9, -2/7, 1.85904? -2/7 Which is the fourth biggest value? (a) 15/2 (b) 2/3 (c) 2 (d) 23.1 (e) -53 b Which is the fourth smallest value? (a) 31 (b) -3/2 (c) 32/9 (d) 4 (e) -101 (f) 0 c What is the second smallest value in 0.1, -3036, -57? -57 What is the sixth biggest value in 2/7, -4, -1/13, -0.2, -2, -0.0744? -4 Which is the smallest value? (a) 54 (b) 42 (c) 2/7 (d) 3/5 (e) 1 (f) -0.3 f Which is the fourth smallest value? (a) -0.4 (b) -0.2 (c) 131 (d) 3 (e) 2 (f) 1 (g) -22 f Which is the second biggest value? (a) 1/7 (b) 0 (c) 3/5 (d) -5 (e) -175 (f) -1 (g) -2/23 a What is the biggest value in 4, 73, -0.1, 3, -28, 2/5? 73 What is the third smallest value in 9860542, -0.3, 1/6? 9860542 Which is the fourth biggest value? (a) 7 (b) 2 (c) 0 (d) 9.04 (e) -1/18 (f) 14 b What is the second biggest value in 0, 26, 318.576? 26 Which is the second smallest value? (a) -7767 (b) -22397 (c) -3 a What is the third smallest value in 10, 3075004, -1? 3075004 Which is the third smallest value? (a) 1095 (b) -2 (c) 102 (d) -14 (e) 0.02 e What is the second smallest value in -3, 11, -5, -1, 0.8, 8.85, 2/13? -3 Which is the smallest value? (a) -4/5 (b) 5806.018 (c) 3 a Which is the fifth smallest value? (a) -1/3 (b) -4 (c) 7/9 (d) -1/4 (e) 2/5 (f) -0.21 (g) -3/7 f Which is the fourth biggest value? (a) -71 (b) 1657 (c) -0.1 (d) 2/11 (e) 3/8 c What is the third biggest value in -2, -1, 25834, -0.08? -1 What is the sixth biggest value in -0.5, 213, -7, 1572, 0.4, 1, -1/5? -0.5 What is the fifth smallest value in -0.2, -3, -0.4, 500, 1/869? 500 What is the fourth biggest value in -29, -5, 20, -10/51? -29 What is the second biggest value in -2, -5, 1.92998723? -2 What is the second smallest value in 33357/34, -5, 8, -6? -5 What is the third biggest value in 13, 1/3, -16, 3/4, -0.05, 0? 1/3 What is the second biggest value in -2/9, -4289/530, 3? -2/9 Which is the smallest value? (a) 0.3 (b) -7/25 (c) 0.03 (d) 1/2 (e) -127 (f) 1 e Which is the smallest value? (a) 278 (b) -1/2 (c) 4 (d) -16 (e) 2/19 (f) -2/3 (g) -3 d What is the fifth biggest value in 5, 13/3, 0.1, -1/6, 0.01, 7/394, 1/5? 7/394 What is the fourth smallest value in -0.01, 13, 406, -0.2, 1/9, -5? 1/9 Which is the fifth biggest value? (a) -2/9 (b) 0.05 (c) 3.1 (d) -190/9 (e) 2 d What is the second biggest value in 7.9, -2, 10/7? 10/7 Which is the fifth biggest value? (a) -36 (b) 0.4 (c)
{ "pile_set_name": "DM Mathematics" }
3 - 3348*y**2 + 765267*y - 38530422. 3*(y - 826)*(y - 219)*(y - 71) Suppose -2*d**3/15 + 460197998*d**2/15 - 8824258300166666*d/5 + 8824258146767334/5 = 0. Calculate d. 1, 115049499 Find d such that -5*d**4 - 6155*d**3 + 6135090*d**2 - 30483720*d - 36624960 = 0. -1884, -1, 6, 648 Determine q so that 2*q**4 - 60674554*q**3/7 + 65739152200886*q**2/7 + 49639997773662*q + 93913532728020/7 = 0. -5, -2/7, 2166951 Let 5*p**2 - 45705*p + 1774890 = 0. What is p? 39, 9102 Solve i**4/8 + 63527*i**3/8 + 952743*i**2/8 + 4001305*i/8 + 389011 = 0 for i. -63512, -7, -1 Factor -23*n**2/2 + 12254973*n/2 + 532825. -(n - 532825)*(23*n + 2)/2 Factor o**2/5 + 842591*o/5 - 5898186/5. (o - 7)*(o + 842598)/5 Let g**2 + 773385*g + 15467300 = 0. Calculate g. -773365, -20 Let -9*c**4 - 3782175*c**3 - 2521437*c**2 + 3782175*c + 2521446 = 0. What is c? -420241, -1, -2/3, 1 Let 4*m**3 - 8080*m**2 - 707284*m + 715360 = 0. Calculate m. -85, 1, 2104 Suppose 63*d**4 + 2981694*d**3 + 4401411*d**2 = 0. What is d? -47327, -31/21, 0 Suppose -1058*m**3/9 - 8236714*m**2/9 - 1432448*m/9 - 6920 = 0. What is m? -7785, -2/23 Solve -t**2/3 - 1418*t/3 - 15235 = 0. -1385, -33 Suppose 5*n**3 - 160700*n**2 + 1335805625*n - 710123741250 = 0. What is n? 570, 15785 Determine k so that k**4/2 - 61*k**3 + 4341*k**2/2 - 10710*k - 390150 = 0. -10, 30, 51 Factor j**4/3 - 2608*j**3/3 + 444608*j**2 + 478035968*j/3 + 33597423616/3. (j - 1432)**2*(j + 128)**2/3 Factor 4*r**3 - 72*r**2 - 13120*r - 175104. 4*(r - 72)*(r + 16)*(r + 38) Factor v**3/2 - 75355*v**2/2 + 1423091527*v/2 - 131696570973/2. (v - 37631)**2*(v - 93)/2 Factor -3*r**2 - 8515072*r - 2838357. -(r + 2838357)*(3*r + 1) Find v, given that -5*v**5 - 1234745*v**4 - 76225438920*v**3 + 533648455180*v**2 + 609872659360*v = 0. -123478, -1, 0, 8 Suppose -b**3/7 - 19573*b**2/7 - 3107004*b/7 - 2562516 = 0. Calculate b. -19413, -154, -6 What is x in 4*x**5 - 8760*x**4 + 78600*x**3 - 183280*x**2 + 165780*x - 52344 = 0? 1, 6, 2181 Factor n**2/2 - 1489601*n - 32771343/2. (n - 2979213)*(n + 11)/2 Factor 4*r**4 - 60*r**3 - 3692*r**2 + 7548*r - 3800. 4*(r - 38)*(r - 1)**2*(r + 25) Determine x, given that -4*x**4 - 600*x**3 + 3469824*x**2 - 1092187368*x + 3245350212 = 0. -1131, 3, 489 Factor g**4 + 167*g**3 + 6390*g**2 - 166592*g - 9622816. (g - 34)*(g + 49)*(g + 76)**2 Factor 3*b**5 - 54186*b**4 + 244731060*b**3 - 489245400*b**2. 3*b**2*(b - 9030)**2*(b - 2) Solve 4*f**2 - 9076*f + 126280 = 0. 14, 2255 Factor 2*k**2 + 38708084*k + 187289470868882. 2*(k + 9677021)**2 Let -i**5/2 + 493*i**4/2 - 42209*i**3/2 - 176281*i**2/2 - 23589*i + 132588 = 0. What is i? -3, -2, 1, 116, 381 What is j in -j**3/4 - 6393*j**2/2 + 179187*j/4 - 41600 = 0? -12800, 1, 13 Find y such that 2*y**4/5 + 39972*y**3/5 - 6853382*y**2/5 - 6893352*y/5 = 0. -20156, -1, 0, 171 Factor 1197*i**3/8 + 3048*i**2 - 52359*i/8 + 13389/4. 3*(i - 1)**2*(399*i + 8926)/8 Solve 1439*l**2/4 + 3969*l/4 - 261 = 0 for l. -3, 348/1439 Determine i so that -2*i**4/7 + 137210*i**3/7 + 137212*i**2/7 = 0. -1, 0, 68606 Find u, given that -15*u**3 + 640993*u**2 - 769173*u + 128195 = 0. 1/5, 1, 128195/3 What is w in -5*w**5 + 2075*w**4 + 14830*w**3 - 25180*w**2 - 59240*w + 67520 = 0? -8, -2, 1, 2, 422 Let 2*o**2/9 - 253315556*o/9 + 8021096363948642/9 = 0. Calculate o. 63328889 Suppose g**3/3 - 2950*g**2 + 596367*g = 0. What is g? 0, 207, 8643 Let 129*i**3 - 10365270*i**2 - 723159*i = 0. Calculate i. -3/43, 0, 80351 Factor 11*w**2 + 12172082*w/3 - 368851/3. (w + 368851)*(33*w - 1)/3 Factor f**2 - 520399*f + 8326128. (f - 520383)*(f - 16) Factor 3*v**2 + 43048092*v + 154428185403372. 3*(v + 7174682)**2 Suppose 874723*m**3 + 5248336*m**2 + 6997772*m - 16 = 0. What is m? -4, -2, 2/874723 Factor -i**3/10 - 109*i**2/5 + 937*i/2 - 1785. -(i - 15)*(i - 5)*(i + 238)/10 Find i, given that 2*i**4/9 - 12974*i**3/9 + 1012444*i**2 - 2248898728*i/9 + 187631882800/9 = 0. 254, 5725 Find m, given that m**2/3 + 1841*m/3 + 108580/3 = 0. -1780, -61 Determine n so that -n**3 + 19901*n**2 + 3350181*n/4 + 4846149/4 = 0. -81/2, -3/2, 19943 Suppose -2*b**3 - 3534*b**2 - 1561140*b = 0. Calculate b. -885, -882, 0 What is l in l**4/2 - 5301*l**3/2 + 6759925*l**2/2 + 712382157*l/2 - 3897261535 = 0? -107, 10, 2699 Solve -z**5/6 + 2437*z**4/2 - 13366333*z**3/6 + 4448135*z**2/2 + 13359025*z/3 = 0. -1, 0, 2, 3655 Solve 2*s**3/15 - 1226708*s**2/5 - 2453424*s/5 + 29441024/15 = 0. -4, 2, 1840064 Determine j so that 2*j**2 - 1010162*j - 5050860 = 0. -5, 505086 Let -h**5/6 - 739*h**4/6 - 5867*h**3/6 - 13901*h**2/6 - 1462*h = 0. What is h? -731, -4, -3, -1, 0 Factor -p**2/3 - 209695*p/3 - 7338100/3. -(p + 35)*(p + 209660)/3 Let -46*k**3/5 + 16550*k**2 - 18340364*k/5 - 319088 = 0. Calculate k. -2/23, 259, 1540 Factor -h**3 - 656620*h**2 - 107781546277*h + 1940280583698. -(h - 18)*(h + 328319)**2 Suppose -3*r**4 - 2003751*r**3 + 2003757*r**2 + 2003751*r - 2003754 = 0. What is r? -667918, -1, 1 Suppose -w**4/4 - 192111*w**3/4 - 9227907661*w**2/4 - 119927645841*w/4 + 64577872807/2 = 0. What is w? -96049, -14, 1 Let 2*m**2/13 - 47860*m/13 - 1437600/13 = 0. What is m? -30, 23960 Determine v so that -5*v**4/3 + 15811*v**3 - 112508701*v**2/3 + 22489725*v + 14997366 = 0. -2/5, 1, 4743 Let 3*b**3 - 199977*b**2 - 37702275*b + 37902249 = 0. Calculate b. -189, 1, 66847 Suppose -5*r**3/4 - 88*r**2 + 30721*r/4 - 61083 = 0. Calculate r. -617/5, 9, 44 What is c in -4*c**2 + 38560*c - 961500 = 0? 25, 9615 Factor y**2/6 + 76213*y/6 - 38107/3. (y - 1)*(y + 76214)/6 Find c such that 2*c**2/5 - 74818*c/5 + 13995096/5 = 0. 188, 37221 Let -q**3/5 + 2276*q**2 + 68311*q/5 + 11386 = 0. Calculate q. -5, -1, 11386 Factor -3*k**2 + 14055*k + 72269928. -3*(k - 7781)*(k + 3096) Determine x so that 2*x**3/15 - 4068*x**2 + 156316342*x/5 - 53580123688/15 = 0. 116, 15197 Suppose -4*c**2/5 + 2866376*c/5 - 8025696 = 0. Calculate c. 14, 716580 Factor j**2/5 + 222700792*j/5 + 12398910689356816/5. (j + 111350396)**2/5 Factor -2*g**2/11 + 30957562*g/11 + 61915132/11. -2*(g - 15478783)*(g + 2)/11 Find l, given that l**5/4 - 321*l**4/4 + 32463*l**3/4 - 1041899*l**2/4 - 268671*l = 0. -1, 0, 83, 156 Solve 3*w**3/5 - 71247*w**2/5 + 56988*w = 0 for w. 0, 4, 23745 Factor -2*d**4/9 + 1306*d**3/9 - 218542*d**2/9 + 10904726*d/9. -2*d*(d - 427)*(d - 113)**2/9 Suppose 10*k**2/3 + 7587*k - 75438 = 0. Calculate k. -2286, 99/10 Solve s**5 - 5807*s**4/9 + 34339*s**3/3 - 118537*s**2/9 + 7106*s/3 = 0. 0, 2/9, 1, 17, 627 Determine y, given that 10*y**4/9 + 4*y**3 - 142*y**2/9 - 64*y - 32 = 0. -4, -3, -3/5, 4 Determine b so that 10*b**4/7 + 4136*b**3/7 - 10018*b**2/7 - 14144*b/7 = 0. -416, -1, 0, 17/5 Find m such that 4*m**3 - 3515*m**2 + 10517*m - 7006 = 0. 1, 2, 3503/4 Factor t**2/5 - 5971274*t/5 + 8914028295769/5. (t - 2985637)**2/5 Determine d so that 4*d**3 - 817760*d**2 - 11449552*d + 26170112 = 0. -16, 2, 204454 Factor -2*t**2/19 + 3182016*t/19 + 6364040/19. -2*(t - 1591010)*(t + 2)/19 Solve -108*v**5/7 + 444*v**4 - 19268*v**3/7 + 2908*v**2/7 + 9680*v - 54400/7 = 0. -17/9, 1, 5/3, 8, 20 Let 2*s**5/11 + 28950*s**4/11 - 23971620*s**3/11 + 284878960*s**2/11 - 1135807680*s/11 + 1511937792/11 = 0. What is s? -15261, 4, 774 Factor -45*b**2 - 4516689*b + 602226. -3*(b + 100371)*(15*b - 2) Factor 4*x**2 + 428960*x - 5148096. 4*(x - 12)*(x + 107252) What is n in -5*n**5/3 - 187250*n**4/3 - 5296715*n**3 - 374438900*n**2/3 - 1554416000*n/3 - 398560000 = 0? -37365, -40, -4, -1 Find x, given that x**4 + 6609605*x**3 + 39657603*x**2 + 59486395*x + 26438396 = 0. -6609599, -4, -1 Solve 2*t**5/13 + 862408*t**4/13 + 1724808*t**3/13 - 4*t**2/13 - 1724810*t/13 - 862404/13 = 0 for t. -431202, -1, 1 Find y, given that -y**2/2 - 596051*y - 1192100 = 0. -1192100, -2 Determine m so that m**2/2 + 9531*m/2 - 973100 = 0. -9731, 200 Find h, given that -4236*h**3/5 + 13359*h**2/5 - 9264*h/5 - 204 = 0. -34/353, 5/4, 2 Find f, given that -24*f**4/7 + 33048076*f**3/7 + 60588204*f**2/7 + 22032084*f/7 - 786860 = 0. -1, 1/6, 1377005 Solve -5*g**4 + 47665*g**3 - 4531615*g**2 + 17507015*g - 13023060 = 0 for g. 1, 3, 92, 9437 Solve -b**2/3 - 84530*b + 1268025 = 0 for b. -253605, 15 Determine i, given that -6*i**4 - 2888*i**3/3 - 153892*i**2/3 - 2694520*i/3 + 1544950/3 = 0. -55, -53, 5/9 Solve -t**4/5 + 7306*t**3/5 - 2182749*t**2/5 + 4343584*t/
{ "pile_set_name": "DM Mathematics" }
*s**2 + 0*s)*(66*s - 110*s + 93*s). 98*s**3 Expand (3*n - 5 + 0*n**2 + 6 + n**2)*(-6*n**3 + 0*n**3 + 0*n**3 + (-3*n**2 + 4*n**2 + 0*n**2)*(-4*n + 4*n + 4*n)). -2*n**5 - 6*n**4 - 2*n**3 Expand 561*a - 354*a + 1478*a + (2*a + 1 - 1)*(-5 - 2 + 5). 1681*a Expand 5*q**4 + 3*q**5 - 7*q**5 - 3*q**4 - q**5 + q**5 - 2*q**5 + (-8728*q**3 + 104*q**4 + 8728*q**3)*(6*q - 3*q - 2*q). 98*q**5 + 2*q**4 Expand (1 - 1 + 1)*(10 - 10*c - 10) - c + 2 - 2 + 3 - 2 - c + 2. -12*c + 3 Expand (-8*y + 18 - 18)*(y**3 - 2*y**3 + 2*y**3) + 61*y**2 - 12*y**4 - 61*y**2. -20*y**4 Expand (-2 - 2 + 2)*(-q**3 + q**3 - 2*q**4) + 0*q + 0*q - 2*q**4 + 4*q**4 - q**4 - 2*q**4 - 6*q**4 + 7*q**4 + 8*q**4 + (-2*q**3 + 2*q**3 - 2*q**4)*(0 - 2 + 3). 10*q**4 Expand (-7 + 7 - 2*s)*(1 + 2*s - 1)*(2 - s - 2) + 4*s**3 + 0*s**2 + 0*s**2. 8*s**3 Expand (2 - 2 - k)*(-1129*k**4 + 21440 - 21440). 1129*k**5 Expand (-6 + 2*h**2 + 6)*(-5*h + h + 2*h) + 2*h**2 - 4*h**3 - 2*h**2 + (3*h + 3*h + 0*h)*(-2 - h + 2)*(-h - 2*h + 4*h). -14*h**3 Expand 3*q - 5*q + q + (0 + 3 - 1)*(0 + 0 - q) + (3 + 1 - 2)*(55*q - 13*q + 90*q). 261*q Expand (-1 + 0 + 2)*(0*l + 3*l - 2*l)*(6*l - 21*l + 5 + 19*l). 4*l**2 + 5*l Expand (4 + 2 - 3)*(109*l**3 + 172*l**3 - 7*l**3 - 9*l**3). 795*l**3 Expand -6*c**4 - 13*c**4 + 9*c**4 + (4*c + 0 - 4 - 2*c)*(c**3 + 4*c**2 - 4*c**2). -8*c**4 - 4*c**3 Expand (-6 + 6 - 7*o)*(6 - 10 - 11). 105*o Expand (-218 - 14*b**2 + 218)*(b + b - 3*b) + (-b - b + b**2 + 0*b)*((2 - 6 + 5)*(0 + 0 + 3*b) + 2 - 2 + b + (-2 + 4 - 1)*(b + 3 - 3) + 2 - 2 + 2*b). 21*b**3 - 14*b**2 Expand (2*r**3 - 5*r**3 + 0*r**3)*(3*r - 3*r - 2*r)*(5*r + 10*r - 5*r). 60*r**5 Expand ((7*d**4 + 6*d**3 - 6*d**3)*(-2 + 5 - 5 + (2 - 5 + 5)*(0 - 1 + 3)) - 2*d**4 + 6*d**4 - 3*d**4 + (3*d**4 - 4*d**4 + 0*d**4)*(1 + 2 - 1))*(-2 + 2 - 2). -26*d**4 Expand -2*w**5 + 3*w**5 - 3*w**5 - 3*w**5 + 2*w**5 + 2*w**5 + (2*w**3 - w**4 - 2*w**3)*(-1 - 2*w + 1) + (-2 - 313*w**2 + 3 - 2*w**4 + 318*w**2)*(8*w + 7 - 7). -15*w**5 + 40*w**3 + 8*w Expand (9 + 6 - 12)*(2*a - 7*a + a)*(3 - 7 + 2). 24*a Expand -5*r**3 + r**3 + r**3 - 1 + 1 + r**3 + (2*r**2 + r**2 - 4*r**2)*(-1 + 1 - r) - r**2 + r**3 + r**2 + 2*r**3 - r**3 - 2*r**3. -r**3 Expand -2*q**3 - q**3 + q**3 - 5*q**3 + 3*q**3 + 3*q**3 + (2 + 1 - 2)*(-2*q**3 + 2*q**3 + 2*q**3) - 50*q**3 + 68*q**2 + 52*q**3 - 11*q**2. 3*q**3 + 57*q**2 Expand 17*z**3 + 10*z + 2*z**3 - 12*z + (-5*z**2 + 5*z**2 - z**2)*(-5*z + 6*z + 3*z) + 3*z**3 - 2*z**3 + 0*z**3. 16*z**3 - 2*z Expand (-4 + 0 + 2)*(-2*y + 0*y + y) - 1 + y - y + y. 3*y - 1 Expand -5 + 5 + 2*x**5 + (-x**2 + x**2 - 3*x**2)*(-31*x**3 + 51*x**3 - 31*x**3). 35*x**5 Expand (-1 + 4 - 9)*(-33 - 5 + 6)*(-2*w + 2*w + w**5). 192*w**5 Expand -t**3 - t**3 + t**3 + (9*t - 6*t + 5*t)*(-t**2 - 2*t**2 + 2*t**2) + (-2*t**3 - 5*t**3 + 4*t**3)*(6 - 3 - 5). -3*t**3 Expand ((-10*l + l - 2*l)*(3*l - 3*l + l) - 5*l**2 + 3*l**2 + l**2)*(-2*l + 6*l + 2*l). -72*l**3 Expand (-4*p - 5 + 5)*(3*p - 3*p - 3*p)*(-4 + 5 - 5). -48*p**2 Expand (-8*a**3 + 15*a**2 - 15*a**2)*(-2*a + 2*a + 2*a). -16*a**4 Expand -8*k**2 + 4*k**2 - 26 + 5*k**2 + (-3*k + 14*k**2 + 3*k)*(1 - 5 + 2) + (0*k + k - 3*k)*(3 - 3 - 2*k). -23*k**2 - 26 Expand (-2*i**4 + 3*i**2 - 3*i**2)*(-9 - 4*i + 9)*(45 + 6 - 4). 376*i**5 Expand (109 - 164 + 99)*(-h**2 + 4*h**2 - 2*h**2). 44*h**2 Expand (0 + 1 - 4)*(3 - 4 - 1)*(240 - 105 - 124 - 23*u). -138*u + 66 Expand (4*a - 3*a + a)*(37*a + 18*a**3 - 37*a) + 0*a**4 + 5*a**4 - 4*a**4 - 8*a**2 + 8*a**2 + 3*a**4 + (-3*a**3 + 4*a**3 - 2*a**3)*(-1 - a + 1). 41*a**4 Expand -32*b**2 + 16*b**2 + 14*b**2 + (-2*b - b + b)*(3*b + 2*b - 6*b) + 5*b**2 + 4*b**2 - 6*b**2. 3*b**2 Expand (-3 + 0 + 2)*(2 - 2 + 2*s) + 2*s + 2*s - 3*s + 4*s + 1 - 1 + (2*s + 0*s - 3*s)*(1 - 14 + 2). 14*s Expand 16*q**5 + 66*q**2 - 66*q**2 - 1 + 1 - q**5 + (4*q**2 + 2*q**3 - 4*q**2)*(3*q**2 - 2*q**2 + q**2) + 4*q**5 + q**5 - 2*q**5. 22*q**5 Expand (896*x**2 - 449*x**2 + 42*x**3 - 450*x**2)*(2*x**2 - 3 + 3). 84*x**5 - 6*x**4 Expand 4*a - 4*a - 3*a**4 + (0 + a + 0)*(6*a + a**3 + 8*a - 11*a). -2*a**4 + 3*a**2 Expand (2*z - z + z)*((-1 - 2 + 4)*(0 + 2 - 3) - 19 + 8 + 56). 88*z Expand 3*n**4 - 8*n**4 + 0*n**4 + 10*n**4 - 6*n + 6*n + (6*n - 3*n - n)*(-3*n**3 + 3*n**3 - n**3) - 3 - n**4 + 3. 2*n**4 Expand ((-4 + 6 - 1)*(-2 - 1 + 5) + 2 + 2 + 2)*(3 + 6*m - 3). 48*m Expand (n**2 - n**2 - n**2)*(185*n - 113*n - 124*n). 52*n**3 Expand (-1 - 2*u**2 + 1)*(0 - 2*u + 0) + 319*u**3 - 577*u**3 + 399*u**3. 145*u**3 Expand (3*g - 3*g**2 - 3*g)*(0 - 6*g + 0)*(-3 - 7 - 1). -198*g**3 Expand (4*h**3 - 2*h**3 - h**3)*(0 - 1 - 19) - 23*h**3 + 41*h**3 - 37*h**3. -39*h**3 Expand (2*j**2 + 0*j + 0*j)*(1 - 3 + 1) + 3*j**2 + j**2 + 5*j**2 + 7*j**2 - 203*j + 203*j. 14*j**2 Expand (2*d**2 - 2*d**5 - 2*d**2 - 2*d)*(-1 + 0 + 2) + 0*d**5 + 4*d**5 - d**5 + (-d**3 + 0*d**3 + 0*d**3)*(-52*d**2 - 45*d**2 + 27*d**2). 71*d**5 - 2*d Expand (-5*h**2 + h**2 + h**2)*(h - 2 + 2) + (0 + 0 + 2*h)*(-2*h**2 + 3*h**2 + 0*h**2) + (1 + 1 - 3)*(5*h**3 + 3*h**3 - 3*h**3). -6*h**3 Expand 68 - 68 + 20*m**3 + (0 + 1 + 1)*(-4*m**3 + 3*m**3 + 2*m**3). 22*m**3 Expand (-2*d + 2*d + 2*d)*(-1 - 2 + 1)*(55 - 10 - 116). 284*d Expand (-3 + h**2 + 3)*(-38*h - 11*h**3 + 38*h). -11*h**5 Expand (175*x - 44*x + 32*x)*(x**3 - 3*x**3 - x**3) + 1 - 1 + x**4. -488*x**4 Expand ((-t + 3*t - 3*t)*(-30*t + 30*t - 70*t**2) - 3*t**3 + 2*t - 2*t)*(4*t - 4*t + 2*t**2) - 4*t**4 - t**5 + 4*t**4 + 0*t**5 - 2*t**5 + 0*t**5. 131*t**5 Expand (3*j**2 + 0*j**2 - j**2)*(165*j**3 - 327*j**3 + 160*j**3 + 6*j**2). -4*j**5 + 12*j**4 Expand (-5 + 0 + 2)*(5 - 6 + 1 - 21*c). 63*c Expand (-4 - 5 + 3)*(2 - u - 2)*(3*u + 2*u - 6*u). -6*u**2 Expand 53*w**2 - 4*w**4 - 27*w**2 - 28*w**2 + (2*w**4 + 0*w + 0*w)*(2 + 3 - 6) + 0*w**4 - 3*w**4 + 0*w**4. -9*w**4 - 2*w**2 Expand (0 - 1 - 1)*(2*z + 0*z - z + (-2 + 2 - 2)*(-3*z + z + 5*z))*(-2*z + 2*z - z**3). -10*z**4 Expand (q**2 + q**3 - q**2)*(2*q**2 - 189 + q + 4*q**2 + 184). 6*q**5 + q**4 - 5*q**3 Expand (4*h - 2*h - 3*h)*(4*h - 2*h - 3*h) - 111*h**2 - 54*h**2 + 39*h**2. -125*h**2 Expand (-2 - 1 + 2)*((3 + 1 - 2)*(o + 2 - 2) - o + 10*o - 8*o). -3*o Expand (2 + 0 - 4)*(-123*q**2 - 99*q**2 + 56*q**2). 332*q**2 Expand 5 - s + 3 + 0 + (-1 - 3 + 7)*(7 - 11 - 8)*(-5*s + 2*s + s). 71*s + 8 Expand ((1 + t**2 - 1)*(3*t - t - 4*t) - 2*t**3 - 4*t**3 + 3*t**3 + 9*t**3 - 12*t**3 - 3*t**3)*(-14*t**2 + 13*t**2 - 26*t**2). 297*t**5 Expand (14*a + 12*a - 5*a)*(-a + 3*a - a) + (0 + 3 - 1)*(-3*a**2 - a**2 + 6*a**2) + 0*a**2 - a**2 + 2*a**2. 26*a**2 Expand -2 + 4 + j**2 + j**2 - 2*j + (-9*j - 23*j - 2*j)*(-j + 0*j + 4*j). -100*j**2 - 2*j + 2 Expand (-6*i**2 - 2*i**2 + 6*i**2)*(i - i + 3*i**2) + 3 + 8*i**4 - 3*i**4 - 1. -i**4 + 2 Expand (2*q - 6*q + 2*q)*(0*q**4 + 5*q**4 - q**4) + (q**3 + 0*q**3 + 0*q**3)*(q**2 + 0*q**2 - 3*q**2) + 8*q**5 - 3*q**3 + 3*q**3. -2*q**5 Expand (15*x + 236 - 76 - 79 - 81)*(-2*x - x + 0*x). -45*x**2 Expand (24*m**3 + 95*m**3 - 8*m**3)*(-4*m + 0*m + 2*m). -222*m**4 Expand (3*s + s - 2*s)*(-2*s + s + 3*s) + 48*s**2 + 18*s**2 + 35*s**2. 105*s**2 Expand (-4*h**4 + 0*h**4 + 3*h**4)*(2*h - 2*h + h) + 2*h**5 + 5*h**5 - 5*h**5 - 2350*h + 343*h**5 + 2350*h. 344*h**5 Expand -4*x + x + x - 5*x + 6*x + 10*x + (-3*x + 2*x + 2*x)*(-4 - 2 + 4) - 4*x + 3*x + 0*x + x + 4*x - 4*x. 7*x Expand (339 - 13*j - 339)*(3*j**2 + 0*j**2 - 5*j**2). 26*j**3 Expand (-136 + 70 + 165 + 302)*(-w - 2*w + 5*w). 802*w Expand -4*d**3 + 7*d**3 - 172*d**4 - 25 + 173*d**4 + (0 + 0 - d**3)*(3*d - 5*d + 5*d) + d - d - 2*d**4. -4*d**4 + 3*d**3 - 25 Expand -6 + 6 - 8*a**4 + ((2*a - 2*a - 3*a)*(-1 - 3 + 3) - 8*a - 7 + 7)*(3*a**3 - 2*a**3 + a**3). -18*a**4 Expand (0 + 0 - 2)*(r + r - 4*r)*(808 - 808 - 20*r). -80*r**2 Expand (1 - 1 - w)*(3*w + 13 - 13)*(-50 - 148 + 104). 282*w**2 Expand (-j + 2*j**2 + j)*(8 + 120 - 68). 120*j**2 Expand (-70*g**2 - 59*g**2 + 162*g**2)*(-6 + 7 + 4). 165*g**2 Expand -207*w**4 - 1356*w**2 + 410*w**4 - 205*w**4 + (3*w + 0*w - 2*w)*(-w**3 + 3*w**3 - w**3). -w**4 - 1356*w**2 Expand (-2*g - g**2 + 2*g - g**2 - g**2 + 0*g**2 + (0 + 0 + g)*(-3*g + 0*g + 2*g) + g**2 + 4*g**2 - 3*g**2)*(71*g + 84*g - 36*g). -238*g**3 Expand (-4*x + 3*x - 40*x)*(-6*x + 6*x + 6*x)*(0 - 2 + 1 + (2 - 4 + 4)*(1 - 1 - 2)). 1230*x**2 Expand -4*s**3 - s**3 + s**3 + 4*s - 4*s**3 - 4*s + ((3*s - s - s)*(4*s - s - s) + 9*s
{ "pile_set_name": "DM Mathematics" }
-37)/(6327/(-3)))? -19/3 Evaluate (6/(-15)*1)/(48/480). -4 What is (6/4)/((-177)/(-1298))? 11 What is the value of (175/(-1225))/((-3)/(-84))? -4 Evaluate (12/(-10))/(8*39/(-520)). 2 Calculate 1/(-14*(-6)/24). 2/7 Evaluate (-9)/6*620/(-160)*112/(-21). -31 Calculate -3*-1*9/(-81)*75. -25 ((-1)/3)/(140/(-1260)) 3 What is the value of ((-73)/((-1022)/44))/((-4)/14)? -11 ((-3080)/(-16))/35*1*(-2)/1 -11 (83/(-1826))/((3/(-4))/(12/(-8))) -1/11 What is the value of 3/(-48)*2*((-3360)/(-24))/35? -1/2 Calculate ((-6)/10)/((-207)/(-2070)). -6 What is the value of 3*15/(5265/18)? 2/13 (1080/(-600))/(2/(-10)*1) 9 (5/((-30)/16))/((-60)/(-5850)*13) -20 Evaluate (-5*4/110)/2. -1/11 Evaluate ((-60)/250*45/(-27))/(1/85). 34 Evaluate (30/(-4)*45/225)/(-4). 3/8 ((-24)/(-4074))/(((-24)/6)/(140/10)) -2/97 -1*15*(-3440)/(-2064) -25 What is the value of ((-1)/((-66)/9))/(12/24*3)? 1/11 Calculate (375/900)/((-15)/(-8)). 2/9 (36/135*-5)/(5/(855/(-12))) 19 4/(48/196)*47/(8883/81) 7 17/((-1870)/44)*100/(-2) 20 What is (32/40)/(6/(-10))*405/(-900)? 3/5 What is (5*(-30)/(-100))/(-4*27/(-2232))? 31 Calculate ((-24)/(-60))/(84/28). 2/15 -2*70/168*(-36)/585 2/39 Evaluate ((624/(-65))/6)/(((-1)/(-1))/(-5)). 8 ((81/84)/(-9))/(16/(640/(-180))) 1/42 Calculate (-2*(-1)/(-4))/(30*(-52)/3640). 7/6 (-5)/(-3)*((-24)/(-80))/((-9)/(-6)) 1/3 Evaluate ((-34)/34*1/5)/((-4)/260). 13 Evaluate (504/2688)/(2490/320). 2/83 What is (160/(-280))/(4/(-56))? 8 What is (((-240)/16)/75)/3? -1/15 ((39/5)/13)/((-6)/250) -25 Calculate (-60)/102*29/435. -2/51 Calculate ((-19)/(950/80))/((-1)/5). 8 What is ((-9)/36)/((-102)/32*(-14)/(-21))? 2/17 What is the value of (380/285)/(4/(-3))*9/1? -9 Calculate (27/4)/(-38*(-33)/3344). 18 Evaluate 11/(-352)*-8*4. 1 Evaluate ((-108)/(-72))/(7/(-2)). -3/7 Evaluate -2*99/924*-3*4/(-24). -3/28 Calculate 43/(13072/950)*-1*2/10. -5/8 Calculate (-29)/(1*((-16)/24)/(4/12)). 29/2 What is the value of ((-19)/(-95))/(1/(-120))? -24 Calculate (((-288)/60)/12)/((-4)/6). 3/5 What is (3*(-3)/9)/(-3)*-48? -16 Calculate (1/2)/(5/(-1520)*-19). 8 What is the value of ((-32)/(-18))/(36/(-486))? -24 What is 4/(-8)*-6*(-11)/(66/(-4))? 2 What is (-37)/(((-5)/(-90))/((369/(-162))/(-41)))? -37 What is the value of (20/(-220))/(((-2)/5)/((-6)/(-15)))? 1/11 Evaluate (-25)/(-60)*(-3)/1*1. -5/4 What is the value of (225/20)/(1/12*9)? 15 What is (-15)/(-75)*390/(-13)? -6 What is the value of (((-897)/858)/(-23))/((-3)/4)? -2/33 Calculate (18/(-171))/((-76)/(-361)). -1/2 Calculate -2*2/(-1)*(-68)/408. -2/3 (132/(-88))/((-3)/(-3)*-1) 3/2 What is the value of ((-7)/(-7)*-7)/(3/3)? -7 Evaluate 5/14*(-4)/((440/(-12))/(-11)). -3/7 What is the value of (8/(-14))/((48/(-40))/(28/(-20)))? -2/3 What is the value of 1/((-56)/(-16))*(-35)/(-65)? 2/13 Evaluate 3/36*9*1*(-2072)/2331. -2/3 Calculate ((-6)/22)/(29070/(-12540)). 2/17 Evaluate 42/33*(-88)/(-4)*(-36)/(-216). 14/3 What is (-5445)/21175*(-1)/(-3)*-5? 3/7 56/7*80/64 10 What is ((-5)/120*-12)/((3/(-2))/(-3))? 1 ((20/15)/4)/((6/(-1))/180) -10 (-201)/(-67)*13/(-6)*2 -13 (-8)/12*12/32*20 -5 What is the value of ((-126)/(-2))/(1914/638)? 21 Calculate 0*-9*5/(-135). 0 4/6*2580/86 20 Calculate (-714)/1428*14/4*1. -7/4 Calculate ((-119)/(-441))/(510/90). 1/21 Evaluate (3/15*-8)/((12/5)/6). -4 Evaluate ((-27)/(-3))/((-387)/(-516)). 12 What is (0/(-65))/(135/18*2/3)? 0 (2/657*-6)/((-21)/(-504)*-32) 1/73 Evaluate -6*(144/(-1620))/(2/(-10)). -8/3 What is the value of ((-12)/(-132))/(-3*10/15)? -1/22 Evaluate -2*12*14/(-9)*18/(-21). -32 What is the value of ((-33)/(-9))/((3/((-6)/4))/6)? -11 What is (((-20)/9)/1)/(160/896*-14)? 8/9 Calculate 10/6*(-26790)/2350. -19 (-15)/6*(-166)/(-415)*36/1 -36 What is ((-24)/(-10))/3*(-15)/3? -4 What is the value of 85/(-102)*(-6)/10? 1/2 What is (-13)/((-312)/(-3))*-6? 3/4 Calculate -1*(-12)/(-2)*85/(-102). 5 What is the value of ((-84)/(-22))/((-384)/2816)? -28 What is the value of (727/4362)/((-2)/(-24))? 2 Evaluate -25*(-7)/((-70)/8)*(-68)/68. 20 Calculate -6*5/(-2)*57/95. 9 What is the value of (13/(-1))/(-13)*1/(-7)? -1/7 Evaluate 15/(-40)*2*(-152)/(-399). -2/7 Calculate (7/((-70)/(-4)))/((-13)/65*4). -1/2 (-22)/(-121)*22*(-2)/(-8)*-14 -14 Calculate ((2/(-7))/((-288)/42))/(-1). -1/24 Evaluate 6/12*76/(-38)*-31. 31 What is the value of -9*(-22)/(-99)*4/(-1)*-1? -8 Evaluate (16/(-4))/(18/(-27))*13/2. 39 What is (-3)/((-3312)/24)*-2? -1/23 (((-14)/(-245))/((-1)/(-14)))/(2/(-3)) -6/5 Evaluate ((-3864)/2093)/((-9)/78). 16 What is the value of (11*6/(-528))/((-3)/6)? 1/4 What is (1/(10/12))/((-40)/(9200/(-138)))? 2 Evaluate (-2*3*((-154)/14)/(-44))/(-27). 1/18 Evaluate (164/(-410))/(1/(-25)). 10 Evaluate 6*(-75)/195*156/(-24). 15 Calculate (2356/3999)/38*3. 2/43 Evaluate ((-1)/42*-2)/(9/27). 1/7 What is (24/10)/(((-918)/(-300))/(-51))? -40 Evaluate 8*9/45*(-135)/(-1836). 2/17 Evaluate 180/(-48)*(-14)/(-875)*-20. 6/5 What is the value of (-1)/5*315/(-189)? 1/3 (-3*(-25)/40)/(-9*2/24) -5/2 What is the value of ((3/4*-2)/(3/(-16)))/(-1)? -8 (-2)/4*-25*26/(-975)*0 0 Calculate ((-384)/(-128))/(75/2). 2/25 What is (8*28/(-448))/((1/(-12))/1)? 6 Evaluate 5*(-84)/180*-3. 7 (120/(-10))/((-1)/6*9) 8 ((-5)/1)/((-8)/((-48)/(-435))) 2/29 ((-1)/(-40)*-10)/((-1)/1) 1/4 (22/(-63)*3)/((-382)/1337)*3 11 What is the value of (((-12)/(-72))/((-12)/(-40)))/(10/6)? 1/3 What is the value of 3/(-5)*-1*19/(-171)*3? -1/5 12/(-6)*4/(-72)*-18*14 -28 Evaluate ((-64)/(-208))/((-4770)/(-689)). 2/45 (-4)/(((-22)/33*3)/(1*-4)) -8 (622/(-1555))/(4/10) -1 What is (7*(-90)/(-63))/(-2)? -5 Evaluate (2610/(-6525))/((72/(-105))/(-3)). -7/4 Calculate (((-952)/34)/14)/((-2)/16). 16 What is the value of (((-6)/10)/((-24)/200))/1? 5 Evaluate (45/(-4))/(-5)*(-1096)/274. -9 Calculate (0/3)/((-10)/(-15)*(-12)/(-8)). 0 What is (-1)/(-104*12/(-192)*4/2)? -1/13 Calculate 1792/(-1120)*(-1)/(-2). -4/5 What is the value of 15/(450/(-12))*2? -4/5 Calculate (10/225)/(183/(-2196)). -8/15 Evaluate (44/11)/((-28)/(-77)). 11 (23/(-138))/(4/(-72)) 3 (-400)/1400*42/432 -1/36 ((-3)/(-12))/(1*(-11)/(-88)) 2 What is the value of 1*145/435*4/26? 2/39 (-3)/((-42)/(-595))*12*9/270 -17 Calculate 97/(-291)*3*(-1)/5. 1/5 What is the value of (-22)/(-4)*(-1)/770*-20? 1/7 Evaluate (-24)/(-16)*8*(-9)/((-162)/24). 16 What is (-319)/((-232)/(-8))*2? -22 Calculate (-15)/60*8*3/96. -1/16 4*9/72*26/(-247) -1/19 Calculate 20/336*536/(-335). -2/21 (0/1)/1*((-20)/6)/10 0 2101/382*(-8)/(-2) 22 Evaluate (2/(-24))/1*(-76224)/(-7146). -8/9 What is (-5*10/(-325))/((187/286)/17)? 4 What is the value of (-9)/(-27)*4*5/30? 2/9 Evaluate 13*(-12)/(-468)*(-3)/(-20). 1/20 What is ((-6)/4)/((-2565)/(-570))? -1/3 What is (-63)/(-35)*3*(-180)/(-2106)? 6/13 Calculate ((-39)/3)/(-13)*5/(-10)*6. -3 What is the value of (3/(-5))/(240/112*133/190)? -2/5 Calculate 20*(-10)/600*99/(-1). 33 What is ((-405)/1944)/(((-2)/8)/(1/(-1)))? -5/6 Calculate ((-16)/(-64))/((-4)/(-288)). 18 Calculate (-65)/20*50/(-325)*(-6)/4. -3/4 Calculate ((-1956)/1630)/(27/(-60)). 8/3 What is the value of (-38)/152*276/3? -23 28/4*-3*(140/(-30))/14 7 Evaluate (6/35)/3*(-210)/((-285)/(-19)). -4/5 Evaluate 12/20*(-166)/1245. -2/25 Evaluate (2/(-6))/((15/(-135))/(4/12)). 1 What is ((-4)/6*(-9)/(-12))/4? -1/8 Evaluate 2/((-3)/4*(-50)/(-75)). -4 Calculate 4/2*(1482/209)/13. 12/11 (-12)/7*(-2058)/196 18 What is the value of ((1281/63)/(-61))/3? -1/9 ((-3888)/(-40))/(-27)*(-20)/(-6) -12 Calculate (-6)/6*(-54)/(-9). -6 (-36)/(-88)*(13/(429/(-88)))/(-2) 6/11 Evaluate (75/120)/((-7)/(84/(-150))). 1/20 (-21)/(-42)*((-120)/(-25))/6 2/5 Evaluate (27/4)/((2691/92)/39). 9 What is (50/(-175))/(62/7)? -1/31 (-221*108/(-468))/3 17 What is 8/(3000/(-9))*120/(-36)? 2/25 (13/(364/16))/(182/(-49)) -2/13 (((-702)/(-8))/13)/((-51)/136) -18 ((-21)/7*(-374)/(-153))/(2/(-3)) 11 What is the value of -1*(-70)/28*((-6)/20)/1? -3/4 Evaluate (0/8)/((-3)/((-3)/(-1)))*1. 0 What is the value of (408/(-51)*1/(-6))/(24/(-234))? -13 What is the value of (((-8)/(-14))/(136/357))/3*42? 21 ((-7)/(-15)*(-144)/(-168))/(32/(-20)) -1/4 Evaluate (12/42)/(6*44/(-462)). -1/2 What is the value of ((-48)/(-144))/((-5)/75)? -5 Evaluate (-2)/((-32)/(-120))*-6*3/(-75). -9/5 What is the value of (213/(-3550))/((-12)/16)? 2/25 What is the value of ((-68)/238)/(4/28)? -2 What is the value of (36/20)/
{ "pile_set_name": "DM Mathematics" }
to o*x + k and give k. 0 Express 9*f + 3*f + f - 3*f in the form z + s*f and give s. 10 Express (0*t**2 - t**2 - 2*t**2)*(-t + t + t + (-1 - 2 + 2)*(2*t - 1 + 1) - 1 - 5*t + 1) as s*t**3 + l*t**2 + q*t + k and give l. 0 Express -1832*n - 2 + 1832*n + 7*n**2 as m + q*n**2 + t*n and give q. 7 Rearrange z + 7*z - 2*z**3 + 5*z**3 + z**4 - 2*z**3 - 2 to the form k*z**2 + q*z**4 + c*z**3 + v + i*z and give v. -2 Express 3*r**2 + 0*r**2 - 2*r**2 + (r + 0 + 0)*(3*r - 2*r + r) + (11 + 23 - 12)*(-2*r + 2*r - 2*r**2) in the form n*r + u + q*r**2 and give q. -41 Rearrange -q - 11*q**2 - 3*q + 12*q**2 to i*q**2 + h + l*q and give h. 0 Express -2 - 4*m**2 + m**3 + 6*m**2 + m**3 as v*m + r*m**3 + b + d*m**2 and give d. 2 Rearrange -3*t - 3 + 3 + 27*t to the form l + v*t and give v. 24 Rearrange -2*t + 15*t + 0*t + 3*t**2 to the form s*t + l + z*t**2 and give s. 13 Express -5*o**3 + 3*o**3 + 51 - 49 in the form r*o**2 + m*o + z*o**3 + a and give z. -2 Rearrange (7*i - 3*i + i + (1 + 2 - 5)*(2*i - 1 + 1))*(0 + 5 - 4) to p + g*i and give g. 1 Express 2*g - 13*g - 23*g + (0 - 4 + 2)*(3*g - 2*g - 2*g) - g + g + 2*g in the form s*g + q and give s. -30 Express 0 - 129*x + 103*x + 0 in the form d*x + j and give d. -26 Rearrange -8*a - 2*a - 2*a to q + r*a and give r. -12 Rearrange (2 + 2 - 3)*(-36*l - 29*l + 11*l) to the form u*l + z and give u. -54 Express -5*s - 5*s - s**3 - 19*s + (2*s - 4*s + s)*(3*s**2 + 2*s**2 - 3*s**2) in the form g*s**3 + i + l*s + z*s**2 and give l. -29 Express -13*b**3 - b**3 - b + 3*b**3 in the form x*b**2 + a + i*b + v*b**3 and give v. -11 Express (-2*u + 0*u + u)*(u**2 - u**2 + 2*u**2)*(19 + 0 + 0) in the form s*u**2 + t*u + i*u**3 + q and give i. -38 Rearrange -19*o - 14*o + 79*o to z + d*o and give d. 46 Express -57 - p**4 - p**2 + 55 - 4*p**2 in the form h*p**2 + s*p**4 + f*p**3 + i*p + b and give s. -1 Rearrange -11*d - 5 + 5 + 5*d to t*d + n and give t. -6 Express -2*r - 4*r - 9*r in the form l + y*r and give y. -15 Express (5 - 3 + 14)*(3*s**3 - 2*s**2 + 2*s**2) in the form b*s**3 + n*s**2 + v + j*s and give b. 48 Rearrange -50 - 41 + 101 + l**2 to n + y*l + i*l**2 and give n. 10 Rearrange -8*k**2 - 2*k**3 - k**3 + 2 + 5*k**3 - k**3 to j*k + t*k**3 + b + c*k**2 and give b. 2 Rearrange -7*l - 6*l - l**4 + 4*l**4 + 10*l + 2 to s*l**4 + j + t*l + u*l**3 + m*l**2 and give j. 2 Express 3 - f**3 - 3 + 3 in the form s*f**2 + d + q*f + h*f**3 and give d. 3 Express -69*l**2 + 4*l**2 + 19*l**2 - 66*l**2 as c*l + m*l**2 + h and give m. -112 Express -6 - 26*d + 1 + 5 as f*d + o and give f. -26 Express (0 - 1 + 3)*(0 - r + 0) - 3*r - 3*r + 3*r + (r - r + 2*r)*(-12 - 13 + 2) in the form d + x*r and give x. -51 Rearrange 2*s**2 - 5 - 3*s + 8 + 0 - 4*s**2 to q*s + a*s**2 + n and give n. 3 Express -22 - 19*y**3 - 2*y + 23 - y**2 + 16*y**3 - 3*y**4 as b*y**3 + m*y**2 + f + i*y + w*y**4 and give w. -3 Rearrange (-l**2 - 3*l**2 + 2*l**2)*(4*l**2 - 3*l**2 - 3*l**2) - 5*l**4 + l**4 - 4*l**4 to p*l**3 + c*l**4 + b*l + j + d*l**2 and give c. -4 Rearrange -4*b**2 + 6*b**2 + 1 + 0*b**2 - 5*b + 5*b + 8*b**2 + (-6*b + 2*b + 2*b)*(0*b - b + 3*b) to l*b**2 + v*b + q and give l. 6 Rearrange (20 - 8 + 19)*(2*z**3 - 4*z**3 - z**3 + (-2*z + 2*z - z)*(z**2 + 0*z**2 - 3*z**2)) - 4*z + 4*z - 2*z**3 to t + d*z**3 + p*z**2 + q*z and give d. -33 Express 5*f + 3*f**2 + 43 + 19*f - 24*f in the form h*f + j*f**2 + g and give g. 43 Rearrange -163 + 83 + 7*u - u**2 - u**3 - 7*u**4 + 79 to the form n*u**3 + y + z*u + d*u**2 + x*u**4 and give z. 7 Express (2*m**2 + 0*m**2 - 5*m**2)*(9 - m + 3*m - 6 - 2*m**2) as c + g*m**2 + a*m**4 + k*m + i*m**3 and give i. -6 Express (21*m - 7*m - 6*m)*(-1 - 3*m + 2 + 2*m)*(4*m + 0*m + 0*m) in the form d + f*m**2 + o*m**3 + j*m and give f. 32 Rearrange t - 2*t - 3*t + (0 + 1 - 3)*(-1 + 2*t + 1) + (-4*t + 4*t - t)*(0 + 0 + 3) to f*t + h and give f. -11 Rearrange q - 9*q**3 + 2*q**2 + 29 - 10 - 9 - 6 to h*q**3 + x*q**2 + n + g*q and give x. 2 Express (5 - 1 - 2)*(3*z - 8*z + 7*z)*(-2 - z + 2) in the form x*z**2 + s + b*z and give x. -4 Rearrange (-4*b + 3*b + 5*b)*(0 - 4 + 3) + 2*b - b - 3*b + (-3 + 0 + 4)*(-5*b + 3*b + 3*b) to the form i*b + y and give i. -5 Express (2*b**2 + 3*b**2 + b**2)*(-b + b + 2*b)*(3*b - 5*b + 0*b) in the form q + x*b**2 + a*b**3 + i*b**4 + n*b and give i. -24 Rearrange 5*v + v**2 - 5*v + (-5 + 3 + 1)*(v**2 - 2*v**2 - v**2) + 512 - v**2 - 79*v - 512 to the form d + k*v**2 + c*v and give k. 2 Express (-7*q + 2*q + 3*q)*(-3*q - 2*q**2 + 3*q) + q**3 + q**3 + 0*q**3 + 11 - 11 + 12*q**3 in the form p*q**3 + l + x*q**2 + t*q and give p. 18 Rearrange (-2*b + 3*b + b)*(0*b + 3*b - b)*(0*b + 10*b + b) to v*b**2 + o + y*b**3 + w*b and give y. 44 Express 2 + w**4 - 3 - w**2 + 0*w**2 + 12*w**3 - 8*w**3 - 2*w in the form u*w + a*w**3 + x*w**2 + h + i*w**4 and give a. 4 Express 41 - 29*y**2 - 41 as w + f*y**2 + p*y and give p. 0 Rearrange -10*g**2 - 2*g + 17*g + 8*g**2 + 3*g**2 to the form i*g**2 + c + q*g and give q. 15 Rearrange 2*o**4 - 6*o**4 - 3*o - o**3 + 2*o to the form f*o**4 + y*o**2 + h*o**3 + g*o + l and give g. -1 Express (n + 0 + 0)*(-75 + 577 + 168 + 7) as j + o*n and give o. 677 Express 21*y**2 + 5*y**3 - 8*y**3 + 2*y**2 + 2*y**3 as a*y**3 + k*y + v + i*y**2 and give a. -1 Express -1 - 6*v**2 + 0 - 2*v**2 - 2*v**2 in the form c + l*v + i*v**2 and give i. -10 Express 0*l**4 - 1 - 10*l**4 - l - l**2 + 2*l**2 + l**4 in the form o*l + f*l**3 + c + v*l**2 + s*l**4 and give s. -9 Rearrange (87*b + 2 + 35*b - 17*b)*(b**2 - b**3 + 3*b**3 - 3*b**2) to p*b**3 + k*b**2 + x*b + h*b**4 + d and give k. -4 Express -2*h**3 + h**2 - h**2 + h**3 + 0*h**3 + h**3 + (-2 + 1 + 2)*(-2 + 2 - h**3) + 2*h**3 + 6*h**3 - 3*h**3 in the form a + t*h + l*h**3 + m*h**2 and give l. 4 Express -331 + 165 + 2*b + 168 in the form t + p*b and give p. 2 Rearrange 2*t - 2*t**4 + 24 - 24 - 3*t**2 + 4*t**4 - 3*t**3 to the form j*t**4 + g*t**2 + d*t**3 + k + x*t and give x. 2 Express (-2*l + 0*l + 3*l)*(0 - 2*l + 0) + l**2 - l**2 + l**2 + 47*l**2 - 30*l**2 - 22*l**2 in the form x*l + h*l**2 + v and give h. -6 Rearrange (2*o + 2*o - 5*o)*(6 - 1 + 1)*(-2 - 3 + 3)*(5 - o - 5) to the form w*o + n + z*o**2 and give z. -12 Express -6*k**4 + 89*k**4 - 21*k**4 + 66*k**4 + (-1 + 1 + k**4)*(4 + 0 - 1) - k**4 - k**4 + k**4 as f*k**3 + l*k**4 + j + d*k + o*k**2 and give l. 130 Express (-9 - 4 - 1)*(0 - 5 + 4)*(-6*p + 0*p + 4*p) in the form m + d*p and give d. -28 Rearrange (0*s + 0*s - s)*(-6*s + 16*s + 2*s) to f*s**2 + p + g*s and give f. -12 Rearrange (-4*f + 0*f + 6*f - 2)*(6*f - 5*f - 7*f) to the form o*f**2 + c*f + u and give c. 12 Rearrange 0*z + 2*z + 2 + 11*z**2 + 0*z to c*z**2 + u + t*z and give c. 11 Rearrange 0*n**2 - 3*n**2 + 5*n**2 - 3*n + 4*n**3 to the form i*n + y + h*n**2 + q*n**3 and give i. -3 Express -27*o + 14*o - 17*o in the form w + d*o and give d. -30 Rearrange -563*h - 16*h**2 + 563*h + 3*h**3 to x*h**3 + f + k*h**2 + l*h and give x. 3 Express (0 + 2 - 1)*(9*r - 19 + 19) + (-5 + 0 + 3)*(-3*r + r + 0*r) - 1 - 3*r + 1 as l + g*r and give g. 10 Rearrange 5 - 2*l + 3*l + l - 2 to h*l + p and give p. 3 Rearrange 873*p**2 - 876*p**2 + 3 - 5 - 21*p**3 to t*p**2 + b*p**3 + u + f*p and give t. -3 Rearrange -y - 6*y**3 + 5*y**2 + 0*y**3 + 5*y**3 to the form p*y**2 + c*y**3 + w + g*y and give c. -1 Express 10*a - 7*a + 5*a in the form o + j*a and give j. 8 Rearrange (-7 + 1 + 1)*(2*f + 2*f**2 - 2*f)*(-4*f + 11*f + 0*f) to a*f**2 + m + b*f + n*f**3 and give n. -70 Rearrange (j + 3*j - 3*j)*(5*j**3 + 9 - 3 - 8) to the form p*j**4 + b*j**3 + a*j**2 + t + s*j and give p. 5 Rearrange (1 + 3 - 2)*((-4*b + 3*b + 0*b)*(3 - 3 + 2) + 1 + b - 1 + (-2 - 1 + 4)*(0*b - 2*b - 2*b)) to k + q*b and give q. -10 Rearrange -4 + 0 + 52*h + 3 - 68*h to the form j + v*h and give j. -1 Rearrange -2*i**4 - 3*i**3 + 12*i**3 - 3*i**2 - 8*i**3 + 0*i**2 - i to the form y*i**3 + p*i + q*i**4 + j + v*i**2 and give y. 1 Rearrange -117*p**2 - 124*p**2 - 116*p**2 + 305*p**2 to the form j*p + d*p**2 + l and give d. -52 Express (-5*i + 2*i + i)*(4 - 2*i - 4) + i**2 + 3 - 2*i**2 - 5 + (3*i - 2*i + 0*i)*(-21 + 21 - 42*i) in the form q*i + u*i**2 + z and give z. -2 Express 50 - 50 - 10*g + 35*g as m + u*g and give u. 25 Express 0*x + 0*x - 2*x**3 + (-2*x**2 - 3*x**2 + 3*x**2)*(-2*x + x - 2*x
{ "pile_set_name": "DM Mathematics" }
Simplify f**(-13/4)/f*((f/(f/(f*f**(-2/27))))/f)/f*(f**(-5/11))**(-5/2) assuming f is positive. f**(-4975/1188) Simplify ((x*x*x/x**(-1)*x)/(x*x**(-6/7)))**(-2/23)/((x*x*x**(-2/7)*x)**(1/82)/((x*x/(x*x/(x*x**(2/3)/x*x*x))*x)/x**(-8))) assuming x is positive. x**(63433/5658) Simplify ((r*r**26/r*r)**3*(r*r**(-12/11))/((r**(-21)/r)/r))**(3/7) assuming r is positive. r**(3429/77) Simplify ((q/((q/(q/q**(3/5)))/q))/((q*q**(-8)/q*q)/q*q))**(-12)/((q**(-3/4)*q*q)**(-25))**(3/17) assuming q is positive. q**(-32397/340) Simplify ((b/(b*(b**(2/3)/b)/b))**32/(b**(1/3)*b**(-5)))/(b**(-4)/b**(-2/9))**(-15) assuming b is positive. b**(-28/3) Simplify ((b**(-3)*b)/b*b**(-2/15)*b/(b*b**32)*b*(b/b**15)/b*b)**17 assuming b is positive. b**(-12274/15) Simplify ((c**0)**(-18)*((c/((c**(-4)/c*c)/c*c))/c)/c*c/(c*c/c**4)*c)/((c**(-1/3))**(-3/34)/((c*c**7)/(c**6*c))) assuming c is positive. c**(271/34) Simplify (((f**1*f*f)/f)**(-49)/(f/f**(-1/3)*f**(-7/4)))/(((f*f**(-7))/(f**(-4)/f))/(f/(f/f**1*f)*f)**(21/2)) assuming f is positive. f**(-1033/12) Simplify (((h*h**(1/5)/h)/h)**(-8)/(h**11/h**3))**(-47) assuming h is positive. h**(376/5) Simplify ((h*h*h*h*h**0)/(h/(h/h**5*h*h)))/(h**(2/11)*h/(h**1/h)*h*h)*(h/(h/((h**0*h)/h*h)))**(4/3)/(h*h/h**1)**40 assuming h is positive. h**(-1348/33) Simplify ((s/(s/(s*s**(-20))))/(s**40/s))/(s**(-30/7)/((s/s**(-1))/s)) assuming s is positive. s**(-369/7) Simplify (z**(-2)*z**(-7/4)/z)/(z**(-2/5)/z**(-1/10))*(z/(z/(z/(((z/(z*z**(-1/7)*z))/z)/z)))*(z*z/(z*z**7))/z)**(-2/21) assuming z is positive. z**(-12203/2940) Simplify ((o*o/(o**1*o))**25*(o/o**7)/o*o**(-8)/o*o*o)**(-18) assuming o is positive. o**252 Simplify (((k/(k**10/k))/k*k)/((k/k**(-6))/k))**(-14)*(k*k**1)**(-18/11)/(k**8*k**5) assuming k is positive. k**(1977/11) Simplify (g**(1/12)/(g**(2/13)/g))/(g**(-11/2)*g**(-8)*g) assuming g is positive. g**(2095/156) Simplify ((((w/(w/w**(-2/7))*w*w)/w*w*w*w**9)/(w*w**3/w*w*w**(-2)))**(2/13))**(2/37) assuming w is positive. w**(272/3367) Simplify (n/(n/(n*n**(-1/6)*n))*(n/(n/(n*n*n/((n*n*n*n**(-3/7)*n)/n)*n))*n)/n*n*n*n*n*n**(2/3)*n*n**(-1/4))/((n**(-1))**22)**(-5/3) assuming n is positive. n**(-2351/84) Simplify ((k**(-6/5)/(k*(k*k**(-9))/k))/((k*k/(k*k**(2/7)))/(k/k**(4/5)*k)))**(-3/29) assuming k is positive. k**(-153/203) Simplify (((b*b**6*b)/b**(-3/8)*(((b/((b*b**(-6/11)/b*b)/b))/b)/b)/(b/b**(-2/9)))**(-45))**10 assuming b is positive. b**(-132625/44) Simplify w**(2/27)*w**1*(w*w*w**1/w)**(-46)*w**(-7)*w**(-1/5)*w**(-1/4)/w*w*w/(w*w/w**(-3)*w*w) assuming w is positive. w**(-56363/540) Simplify ((x*x**(-13)/x*x)/x**(-12))/(x**(-14/9)*x**(-1/3)) assuming x is positive. x**(17/9) Simplify ((d*d/((d*d**1*d)/d)*d)**(2/9))**(-46/3)*d**8*(d/(d*d**(-6))*d)/d*d/d**9*d**(3/10) assuming d is positive. d**(781/270) Simplify ((n*(n**(2/7)*n)/n*n*n**3)/(n*n*n**(2/7))**(-1/43))/(((n/n**1)/n*(n**(-5/4)*n)/n)/(n**1/n)**(3/41)) assuming n is positive. n**(9137/1204) Simplify ((((s/(s*s**(-12)*s*s))/s)/s*s/(s*(s*(s/((s*s**4/s*s)/s*s))/s)/s))/((s**(-2/3)/s)/((s**(-1/13)*s)/s)))**(-24) assuming s is positive. s**(-4552/13) Simplify (f*(f*f*f**(-2))/f*f/(f**(-2/7)*f))**(-40)/(((f*f**8/f*f*f)/f)/(f*f**1))**41 assuming f is positive. f**(-2089/7) Simplify (c**(-2/15)/(c*c**(-5)))**33/(c**1*(c*c**(-1/3))/c*c**(4/3)*c/c**5*c) assuming c is positive. c**(643/5) Simplify (x/(x*x**1)*((x*x**2*x*x)/x)/x)**(-1/22)*(x**1/x**(3/2))/((x**6/x)/x*x/(x**(-1/8)*x)) assuming x is positive. x**(-415/88) Simplify (((g**46*g)/g**32)/((g**(1/23)/g)/((g/((g*g/((g/(g/(g*g**(-18/7))*g))/g*g*g))/g*g))/g)))**(24/11) assuming g is positive. g**(47856/1771) Simplify (w/((w**(-1/2)/w)/w))**(-3/28)*w**(-3/5)*w**(2/13)*w*((w**(-2/3)/w)**(-38))**(4/5) assuming w is positive. w**(79319/1560) Simplify (((t**12/(t/(t/((t/(((t*t**2*t)/t)/t*t))/t))))**(-40))**11)**21 assuming t is positive. t**(-138600) Simplify (((j*j/j**(-1))**(-45)*(j*j**(-2/7))**(-5/4))**35)**19 assuming j is positive. j**(-361475/4) Simplify (h**(2/5))**(29/2)*(h**1)**1*(h/(h**(-2)/h))**(-1/2)/(h**(-7)*h/(h*h/h**(-7)*h*h)) assuming h is positive. h**(109/5) Simplify ((f/f**(5/4))/(f*f**(-3)/f)*((f*f**(-1))/f)/(((f**(2/5)/f)/f)/f))/(((f*f**4)/(f/(f/(f**(-6)*f*f))))/((f*f**7)/f*f/f**(-6)*f)) assuming f is positive. f**(207/20) Simplify (f**(-35))**(-20/13)/(f**(-17/2))**(-4/3) assuming f is positive. f**(1658/39) Simplify (v**(-4/9)/(v**6*v))**(31/4)*((v**1/v*v)/v*v*((v*(v**(2/13)/v)/v)/v)/v)**(-5/12) assuming v is positive. v**(-26641/468) Simplify ((m/(m/(m*m**(-1/3)/m*m*m)*m))**(-48)/(m**(-8)/m*m**7*m))/((m*m*m/m**0)**(2/161)/(m**9*m**1)) assuming m is positive. m**(-3387/161) Simplify (((x**(2/5)/((x*x/(x*x/(x/x**(-3)))*x)/x))**(-48))**(-12))**48 assuming x is positive. x**(-497664/5) Simplify (d/d**(-3/4)*d/d**(-1/7))/((d**1*d)/d)**(4/7)*(d**0)**(-22)/(d**(2/5)*d*d**2) assuming d is positive. d**(-151/140) Simplify ((j**3)**(1/2))**(-1/9)*(j*j*j/(j**0*j*j)*j*j/(j**(2/3)*j))**(-48) assuming j is positive. j**(-385/6) Simplify (((x**(4/7)/(x**(-1)/x))**35)**(-15))**(-14) assuming x is positive. x**18900 Simplify ((((o/o**3)/o)/(o*o/(o**(2/13)*o)))/(o**(1/3)*o/(o/o**(-2/9)*o*o*o)))/(((o/(o/(o/o**(1/4))))/o)**(-32)/(o*o**(-1))**(-32)) assuming o is positive. o**(-1048/117) Simplify ((n**(3/5))**(-17))**(-2/45)/(n**(-1/5)/(n/n**(-2/9))*((n**6/n)/n*n)/((n/n**(-1))/n)) assuming n is positive. n**(-478/225) Simplify ((x**(-3)*x)/(x*(x*x*x**(1/3))/x*x))/(x**(2/7))**(-1/19)*(x*x**(-2/7))**45*((x*x*(x*x**(1/2)*x)/x)/x)**(-1/11) assuming x is positive. x**(33353/1254) Simplify (((s**0*s)/s)/s**1)**43/((((s*s**1)/s)/s*s)**46)**(-47) assuming s is positive. s**2119 Simplify (((o*o**15)/(o**16/o*o))/(o**(-5)*o)**(-2/25))**50 assuming o is positive. o**(-16) Simplify (j*j*j/j**(-2/15))/j**1*j**(-3)*j**(1/4)*(j**(2/5)/j**(4/9))/(j**(-2/5))**(-2/43) assuming j is positive. j**(-5261/7740) Simplify (u**(-4/7)/(u/u**3))**34*u**(-5)*u*u**(-2)*(u/(((u*u**(-2/7))/u)/u))**(-1/6) assuming u is positive. u**(886/21) Simplify (m**11/(m*m**2)*(m*m**3/m)**(3/31))**(-1) assuming m is positive. m**(-257/31) Simplify ((l**(-6/7)*l)/(l*l**(-1/6)/l*l))**(-7)*((l/l**(-2/3))**(-1/34))**(1/3) assuming l is positive. l**(737/153) Simplify ((m*m**(-2)*m*m)/(m/(m*m**(-3/8)/m)))**44*(m/(m*m/(m/(m**(2/3)/m))))/((m**6*m*m)/m)*(m/(m**(2/7)/m))**10 assuming m is positive. m**(-253/42) Simplify ((v*v*v**(-1/3))**(1/3))**(-48)*(v**(-1))**(5/9)/(v**6/v*v**(-1)/v) assuming v is positive. v**(-272/9) Simplify (((l/(l**(2/17)/l))/l)/l)/l**(2/21)*(l/(l/((l/(l**0/l))/l)))/(l/(l**(-1)*l))*(l**(-3)*l**(-1/2))**38 assuming l is positive. l**(-47557/357) Simplify ((w**(2/33)/(w/w**(-1/9)))/(w**11*w*w**(3/4)))**41 assuming w is positive. w**(-224065/396) Simplify (((t*t**10*t)/(t*t**(-9)))/(((t*t/(t**(2/11)/t))/t)/((t/((t*t*t**23*t)/t*t*t))/t)))**(-3/11) assuming t is positive. t**(291/121) Simplify ((t**(-2/23)/t**(-2/19))/(t*t**(-1/3)*t*t)**18)/(t/((t*t/t**(-3/5)*t*t)/t)*t**(-2/5)*t*t/t**(2/35)*t*t*t*t*t*t**(-7)*t) assuming t is positive. t**(-702416/15295) Simplify ((r*r**(-10)*r)**(-9)/(r/(r/(r*r/(r*r/(r/((r**(2/21)*r)/r)*r))))*r)**(-2/21))**15 assuming r is positive. r**(159370/147) Simplify ((c/(c**(-31)/c))/(c/((c**(34/7)*c*c)/c))*((c**(-10/11)/c*c)/c)**27)**(-4/27) assuming c is positive. c**(4216/2079) Simplify (i**(-41)*i*i/i**(-37))/((i**(23/2)*i)/i)**4 assuming i is positive. i**(-48) Simplify ((y*((y*y**(-2))/y)/y)**16)**(6/17)/((y**(-2))**37)**22 assuming y is positive. y**(27484/17) Simplify ((q**(-1/10)/(q**28/q))/(q*q**(-8/5)*(q/q**20*q*q)/q))**(3/8) assuming q is positive. q**(-51/16) Simplify (j*j/(j*(j**(2/7)*j)/j)*j**2*j)**(2/67)/((j/j**(-2/3))**(-8/11)*((j*j*j**(1/2))/j)**(-17)) assuming j is positive. j**(830279/30954) Simplify (d**(2/9)/(d**(-2)*d))**(-24)/(((d/d**(-5))/d**1)/(d**(1/4))**(21/5)) assuming d is positive. d**(-1997/60) Simplify (((y*((y**(-2)/y*y)/y)/y*y)/y)**(-35))**40*y**(-2/13)/(y**(1/5)*y)*((((y/(y*y**(-1)))/y)/y)/y)**(11/3) assuming y is positive. y**(817306/195) Simplify (((f*f/f**(-9))/f)/(f*f*f/f**(-5/3)*f)*f**19*f**(1/28))**(14/9) assuming f is positive. f**(1963/54) Simplify ((r**(-1/4)*r**(25/6))/(r**(-3/20)/((r/((r/(r**14*r))/r))/r*r)))**(-1) assuming r is positive. r**(-301/15) Simplify ((g**1)**(7/9))**(-47
{ "pile_set_name": "DM Mathematics" }
he greatest common factor of 56 and 287? 7 What is the highest common factor of 931 and 98? 49 What is the highest common factor of 77 and 21? 7 Calculate the greatest common divisor of 46 and 46. 46 Calculate the highest common factor of 148 and 37. 37 Calculate the highest common factor of 208 and 416. 208 What is the greatest common divisor of 1430 and 374? 22 Calculate the highest common factor of 3591 and 378. 189 What is the highest common divisor of 84 and 12? 12 What is the greatest common factor of 55 and 275? 55 What is the highest common divisor of 1426 and 92? 46 Calculate the highest common divisor of 12 and 696. 12 What is the greatest common divisor of 6777 and 27? 27 Calculate the highest common factor of 781 and 142. 71 Calculate the highest common divisor of 14 and 329. 7 What is the highest common divisor of 782 and 646? 34 What is the greatest common factor of 804 and 42? 6 What is the greatest common factor of 2250 and 270? 90 What is the greatest common divisor of 702 and 270? 54 What is the greatest common divisor of 19 and 2242? 19 What is the highest common factor of 455 and 35? 35 Calculate the highest common divisor of 60 and 19340. 20 What is the highest common divisor of 120 and 192? 24 What is the highest common divisor of 154 and 1232? 154 Calculate the greatest common factor of 754 and 58. 58 What is the highest common divisor of 2941 and 3287? 173 Calculate the greatest common factor of 49 and 1568. 49 What is the greatest common divisor of 1170 and 360? 90 Calculate the greatest common divisor of 377 and 22243. 377 What is the highest common divisor of 399 and 868? 7 Calculate the greatest common factor of 1 and 13. 1 What is the highest common factor of 118 and 10? 2 Calculate the greatest common factor of 72 and 234. 18 What is the greatest common divisor of 60 and 1458? 6 Calculate the highest common factor of 38 and 190. 38 Calculate the greatest common divisor of 72 and 128. 8 Calculate the greatest common factor of 22 and 3476. 22 Calculate the greatest common divisor of 752 and 235. 47 What is the greatest common factor of 2 and 8? 2 What is the highest common factor of 83 and 1411? 83 Calculate the greatest common divisor of 656 and 56. 8 Calculate the highest common factor of 36 and 48. 12 Calculate the highest common divisor of 805 and 455. 35 What is the greatest common factor of 85 and 2091? 17 What is the highest common divisor of 105 and 399? 21 What is the greatest common divisor of 72 and 29142? 18 Calculate the greatest common divisor of 420 and 30. 30 Calculate the greatest common factor of 144 and 171. 9 What is the greatest common factor of 22316 and 28? 28 Calculate the greatest common divisor of 1134 and 336. 42 What is the greatest common factor of 441 and 98? 49 Calculate the greatest common divisor of 1064 and 56. 56 Calculate the highest common factor of 1692 and 47. 47 What is the greatest common divisor of 6 and 102? 6 What is the greatest common divisor of 4347 and 28? 7 Calculate the greatest common divisor of 100 and 225. 25 Calculate the highest common divisor of 1802 and 34. 34 Calculate the greatest common factor of 1817 and 158. 79 Calculate the highest common divisor of 8094 and 1136. 142 What is the greatest common factor of 326 and 3749? 163 Calculate the highest common divisor of 10 and 150. 10 What is the highest common divisor of 1392 and 48? 48 What is the greatest common factor of 2232 and 72? 72 Calculate the greatest common factor of 60 and 2355. 15 Calculate the highest common divisor of 3107 and 104. 13 Calculate the highest common factor of 392 and 3626. 98 Calculate the highest common divisor of 646 and 272. 34 What is the greatest common factor of 425 and 68? 17 Calculate the highest common factor of 2 and 1318. 2 What is the highest common divisor of 508 and 5207? 127 Calculate the greatest common divisor of 13 and 12441. 13 What is the highest common factor of 522 and 725? 29 Calculate the highest common factor of 2120 and 80. 40 What is the highest common divisor of 7 and 553? 7 Calculate the highest common factor of 12 and 24. 12 Calculate the greatest common divisor of 77 and 19789. 77 Calculate the greatest common divisor of 200 and 225. 25 What is the greatest common factor of 4279 and 77? 11 Calculate the highest common divisor of 20 and 260. 20 What is the highest common factor of 270 and 486? 54 Calculate the highest common divisor of 18 and 5526. 18 Calculate the greatest common factor of 7 and 25. 1 Calculate the highest common factor of 342 and 456. 114 Calculate the highest common divisor of 4683 and 42. 21 What is the highest common factor of 1533 and 168? 21 Calculate the highest common factor of 908 and 8. 4 Calculate the greatest common divisor of 60 and 5900. 20 Calculate the highest common divisor of 37 and 925. 37 Calculate the greatest common divisor of 178 and 122. 2 Calculate the greatest common factor of 276 and 690. 138 Calculate the greatest common divisor of 20 and 30. 10 Calculate the greatest common divisor of 407 and 1739. 37 What is the highest common factor of 430 and 50? 10 Calculate the greatest common factor of 966 and 42. 42 Calculate the greatest common divisor of 273 and 1781. 13 Calculate the highest common divisor of 4 and 7508. 4 Calculate the greatest common factor of 329 and 63. 7 What is the highest common divisor of 1360 and 85? 85 What is the highest common divisor of 150 and 50? 50 What is the highest common factor of 8319 and 282? 141 Calculate the greatest common factor of 1793 and 297. 11 What is the greatest common factor of 3738 and 890? 178 Calculate the greatest common divisor of 225 and 180. 45 What is the greatest common factor of 6078 and 12? 6 What is the greatest common divisor of 120 and 150? 30 Calculate the highest common divisor of 36 and 828. 36 What is the highest common factor of 33 and 7? 1 Calculate the highest common factor of 56 and 525. 7 What is the greatest common divisor of 520 and 8450? 130 Calculate the highest common divisor of 595 and 175. 35 What is the greatest common divisor of 3514 and 28? 14 Calculate the greatest common factor of 4316 and 52. 52 What is the highest common factor of 40 and 140? 20 What is the highest common factor of 9675 and 45? 45 Calculate the highest common divisor of 490 and 28. 14 Calculate the highest common divisor of 255 and 27795. 255 Calculate the highest common divisor of 26 and 299. 13 Calculate the highest common factor of 145 and 29. 29 Calculate the greatest common factor of 14 and 5789. 7 What is the highest common divisor of 14 and 28? 14 What is the greatest common divisor of 648 and 117? 9 What is the highest common divisor of 40 and 350? 10 Calculate the highest common divisor of 219 and 11169. 219 Calculate the highest common divisor of 475 and 8740. 95 Calculate the greatest common factor of 13 and 1807. 13 Calculate the highest common factor of 100 and 350. 50 Calculate the greatest common factor of 132 and 2724. 12 What is the greatest common divisor of 8415 and 30? 15 What is the highest common factor of 1431 and 27? 27 What is the greatest common factor of 592 and 37? 37 Calculate the highest common divisor of 7 and 38353. 7 What is the greatest common divisor of 225 and 50? 25 Calculate the highest common factor of 253 and 4485. 23 Calculate the greatest common factor of 162 and 108. 54 Calculate the greatest common divisor of 6929 and 41. 41 What is the highest common divisor of 10471 and 74? 37 Calculate the greatest common divisor of 31 and 899. 31 Calculate the greatest common factor of 9 and 21. 3 Calculate the highest common factor of 297 and 81. 27 What is the greatest common factor of 168 and 816? 24 Calculate the greatest common factor of 168 and 588. 84 Calculate the greatest common divisor of 12 and 138. 6 Calculate the highest common divisor of 1463 and 133. 133 What is the greatest common factor of 60 and 720? 60 Calculate the highest common factor of 104 and 8. 8 What is the greatest common divisor of 306 and 72? 18 Calculate the greatest common factor of 155 and 186. 31 Calculate the highest common factor of 55 and 7645. 55 Calculate the greatest common factor of 45 and 120. 15 Calculate the greatest common factor
{ "pile_set_name": "DM Mathematics" }
-101 = -14*g + 51 + 198 for g. 25 Solve 0 = 11*n - 22*n - 11*n + 88 for n. 4 Solve 57*h - 46*h = 193*h + 182 for h. -1 Solve 88*g - 457 - 71 = 0 for g. 6 Solve -53 = 70*n - 403 for n. 5 Solve 135*l + 296 = 34*l - 195*l for l. -1 Solve 328*w - 8025 = 7*w for w. 25 Solve -226*r + 32*r + 4671 = -21*r for r. 27 Solve -4*y + 8*y + 110 = 14*y for y. 11 Solve 145*s = 157*s - 36 for s. 3 Solve -10*g = -4349 + 4409 for g. -6 Solve -53*x - 525 = -43*x - 45*x for x. 15 Solve 1340*z = 1711*z - 7791 for z. 21 Solve 394*o - 369*o + 50 = 0 for o. -2 Solve 0 = -417*f + 408*f - 162 for f. -18 Solve 90*d - 731 = 1069 for d. 20 Solve 50*j + 303 = -347 for j. -13 Solve -7136*t + 7129*t + 98 = 0 for t. 14 Solve 1776 = -916097*f + 916145*f for f. 37 Solve -1588*w - 1634*w + 3283*w = 0 for w. 0 Solve -190*o - 117 = -229*o for o. 3 Solve 16*g - 91*g = -900 for g. 12 Solve -8*j - 112 = 32 for j. -18 Solve 253*z = 229*z + 240 for z. 10 Solve 1975*l - 105 = 2010*l for l. -3 Solve -26*x + 9*x + 75 = 7 for x. 4 Solve -1144 = -80*h - 8*h for h. 13 Solve 0 = -136*d - 1477 - 1248 + 413 for d. -17 Solve 391*n - 382*n - 39 = 15 for n. 6 Solve -10438 = 129*x - 12760 for x. 18 Solve -266*d + 1 - 1 = -256*d for d. 0 Solve -78*x - 896 = -156*x - 146*x for x. 4 Solve 0 = -8845*s + 8846*s + 22 for s. -22 Solve 82*l - 219 = -180*l + 43 for l. 1 Solve -153*l - 2547 = -436*l for l. 9 Solve 152*b + 5*b - 2700 = -68*b for b. 12 Solve -31*x + 89*x + 412 = -110 for x. -9 Solve -497 = -13919*j + 13990*j for j. -7 Solve 1298 + 1194 = 17*d + 2713 for d. -13 Solve -236442*f + 154 = -236435*f for f. 22 Solve 0 = -16540*l + 16522*l + 288 for l. 16 Solve 0 = 42589*h - 42616*h + 297 for h. 11 Solve 443*k = 486*k + 688 for k. -16 Solve -5434*d = -5391*d - 172 for d. 4 Solve -354*m + 20*m = 668 for m. -2 Solve 106*k = 35*k - 426 for k. -6 Solve -3*q - 319 = -32*q for q. 11 Solve 672 = 29*n - 9*n + n for n. 32 Solve 0 = -61*r - 27473 + 26558 for r. -15 Solve -24*m - 21 - 3 = 0 for m. -1 Solve -196 - 44 = -39*y + 150 for y. 10 Solve 162*y - 83*y + 15 = 84*y for y. 3 Solve -292*l - 1774 = -222*l - 444 for l. -19 Solve 164*t = -1941 + 137 for t. -11 Solve -15*p = -6*p - 102 + 30 for p. 8 Solve 79*i - 225*i + 4480 = 134*i for i. 16 Solve -644 - 5908 = 192*t + 172*t for t. -18 Solve -19110*w - 35 = -19075*w for w. -1 Solve 0 = -3508*s + 3491*s + 136 for s. 8 Solve -92*r - 150 = -36*r + 186 for r. -6 Solve -4*c + 48 = -23*c + 7*c for c. -4 Solve -42321*w + 42299*w = 44 for w. -2 Solve 281*x + 312 = 305*x for x. 13 Solve -199*o = -178*o for o. 0 Solve -2625 = 205*k - 30*k for k. -15 Solve 6630 = -13*s + 6656 for s. 2 Solve 1900 = -576*f + 481*f for f. -20 Solve 0 = 280*p - 266*p + 532 for p. -38 Solve 0 = -48*x - 3935 + 4607 for x. 14 Solve -2524 = 467*h + 3294 + 5390 for h. -24 Solve -18*g + 86 - 95 = 369 for g. -21 Solve 0 = 30579*g - 30560*g + 133 for g. -7 Solve 0 = -79*i + 2137 - 1426 for i. 9 Solve 6053 = -239*w + 2707 for w. -14 Solve 45*f - 508 = -103 for f. 9 Solve 107*q - 1294 = -11*q - 4362 for q. -26 Solve -6215 = -30*b - 7205 for b. -33 Solve 136 = 6*q + 148 for q. -2 Solve -127*d + 88 - 1708 = 31 for d. -13 Solve 15*a = 125*a + 114 + 106 for a. -2 Solve 61*k + 314 = 995 + 417 for k. 18 Solve -61*h = 48*h - 80*h - 87 for h. 3 Solve -21637 = -2*f - 21613 for f. 12 Solve -3*y - 677 = -105*y + 751 for y. 14 Solve 1743 = -179*y + 279 - 326 for y. -10 Solve -9397 = -114*o - 202*o - 3077 for o. 20 Solve -19159*j = -19165*j + 54 for j. 9 Solve 31*f - 10*f - 369 = -20*f for f. 9 Solve 53623 = -107*v + 54051 for v. 4 Solve 1 = -17*p + 23 + 29 for p. 3 Solve 0 = 29*v + 3 - 37 + 5 for v. 1 Solve 6601*v = 6606*v + 70 for v. -14 Solve 227 = 13*h - 33*h - 33 for h. -13 Solve 314*h + 30*h - 3575 = 19*h for h. 11 Solve -156*y - 93*y - 1365 = -54*y for y. -7 Solve 0 = -84*y + 5*y - 102*y - 2172 for y. -12 Solve -8876*d + 8843*d - 693 = 0 for d. -21 Solve -11*j - 8 = -2*j + 82 for j. -10 Solve 15*f - 16 = 35*f - 19*f for f. -16 Solve 5*f + 10*f = -19*f + 272 for f. 8 Solve -136*p + 1810 = 45*p for p. 10 Solve 2870 = -292*c + 87*c for c. -14 Solve 13*z + 21 + 12 = -19 for z. -4 Solve 285*m = 1776 + 2214 for m. 14 Solve 22*f - 67 = 70 + 215 for f. 16 Solve 357*i + 11531 - 2249 = 0 for i. -26 Solve 23*u + 11*u - 18*u - 96 = 0 for u. 6 Solve 0 = -5*k + 32*k + 222 + 48 for k. -10 Solve 45*y - 43 = 16*y + 73 for y. 4 Solve 4*c = 48*c + 27*c + 497 for c. -7 Solve -27*h + 18 = -51*h - 342 for h. -15 Solve -51*u + 69 = 41*u - 23*u for u. 1 Solve -366 = -175*g - 1416 for g. -6 Solve -33*c - 12*c - 10*c = 660 for c. -12 Solve 1331 = 419*r + 4264 for r. -7 Solve -3170*l + 3222*l - 1040 = 0 for l. 20 Solve -496*d = -423*d + 949 for d. -13 Solve 19*j + 40 = -21*j - 0*j for j. -1 Solve 171*z + 313 = -1233 - 1532 for z. -18 Solve 57*w = -1 - 56 for w. -1 Solve 40*l - 7328 = -7528 for l. -5 Solve 70454*p - 70471*p = -119 for p. 7 Solve 4*b - 42*b - 182 - 198 = 0 for b. -10 Solve 21*t = -6090 + 6258 for t. 8 Solve -71*k - 180*k + 1144 = -303*k for k. -22 Solve -10873*b + 231 = -10894*b for b. -11 Solve 29*v = -726 + 871 for v. 5 Solve -24*t + 72*t - 96 = 0 for t. 2 Solve -1521 + 1337 = -8*m for m. 23 Solve 0 = -3905*s + 3788*s + 1638 for s. 14 Solve 46*s + 491 + 103 = 88 for s. -11 Solve 0 = -333*n - 3340 - 3320 for n. -20 Solve 77*t = -15*t - 276 for t. -3 Solve 36*r + 59*r - 435 = 124*r for r. -15 Solve -712*p - 879 - 615 = -629*p for p. -18 Solve -1877 = 23*u - 1992 for u. 5 Solve -508*m - 2638 + 8721 = -1377*m for m. -7 Solve 36*k - 134 = -62 for k. 2 Solve 35*z + 0 - 73 = 67 for z. 4 Solve -79 = 19*n + 90*n + 30 for n. -1 Solve 57*n - 16*n = 11*n - 390 for n. -13 Solve -4600 = 137*w - 367*w for w. 20 Solve -20*l + 95583 - 95803 = 0 for l. -11 Solve 201*g + 487*g + 612 = 4052 for g. 5 Solve -38*s + 135 = -15*s - 14*s for s. 15 Solve -4*m + 14*m - 1963 + 1953 = 0 for m. 1 Solve -28*l - 224 = -97 + 405 for l. -19 Solve -45*n - 16*n = 24*n - 510 for n. 6 Solve 0 = 242*n - 116*n + 1638 for n. -13 Solve -49*y - 1264 + 529 = 0 for y. -15 Solve -438*c = -24710 + 20768 for c. 9 Solve -1215 + 589 = 2*q - 606 for q. -10 Solve -61*l - 235 = 20*l + 1223 for l. -18 Solve 162*z - 3535 = 2135 for z. 35 Solve 40 = -6441*d + 6449*d for d. 5 Solve -136 = -18*z + 37*z - 174 for z. 2 Solve 19*o + 9*o = 5*o + 69 for o. 3 Solve -23 + 19 = -8*r - 12 for r. -1 Solve 21*k + 246 = -101 - 10 for k. -17 Solve 4*h + 26*h + 75 = 5*h for h. -3 Solve -27*q + 1499 = 1715 for q. -8 Solve 7139*p = 7123*p + 208 for p. 13 Solve -85*b - 129*b - 2040 = -299*b for b. 24 Solve 752*p - 399*p - 840 = 393*p for p. -21 Solve 47*r - 17*r + 3 = 333 for r. 11 Solve 0*i + 1774 = 187*i - 283 for i. 11 Solve 1386*g - 152 = 1424*g for g. -4 Solve 1122*w - 1038*w - 1260 = 0 for w. 15 Solve 4178 = -571*m + 15598 for m. 20 Solve 2*s + 7*s - 88 = 17*s for s. -11 Solve 32*i + 22*i = 50*i - 8 for i. -2 Solve -8*h - 651 = -53*h + 14*h for h. 21 Solve -17 = -904*g + 905*g for g. -17 Solve -64*r + 209 + 130 = 83 for r. 4 Solve -15*i = 20*i - 13*i + 330 for i. -15 Solve -42*d + 1925 = 1379 for d. 13 Solve -126 = -6*g - 0*g - 8*g for g. 9 Solve -2*p = -28*p - 6*p + 128 for p. 4 Solve -131*r = -928*r - 10361 for r. -13 Solve -511 + 34 = 53*g for g. -9 Solve -7*l - 9*l = 6*l + 66 for l. -3 Solve 0 = 171*l + 6868 - 1225 for l. -33 Solve -155*x = -159*x + 24 for x. 6 Solve -287 + 245 = 7*l for l. -6 Solve -1113*d + 1143*d - 600 = 0 for d. 20 Solve -829*m = 8363 + 8008 - 3107 for m. -16 Solve -42*l - 292 + 82 = 0 for l. -5 Solve 0 = -74*h - 565 - 101 for h. -9 Solve -1069*v = -1024*v - 180 for v. 4 Solve 0 = -158*n - 84*n + 3388 for n. 14 Solve 99*p = 1537 - 3616 for p. -21 Solve 862*z - 233*z + 1079 = -808 for z. -3 Solve 1312 = -224*w - 26*w - 78*w for w. -4 Solve -28*h + 113 = 51*h - 45 for h. 2 Solve -182*o = 190*o - 402*o + 450 for o. 15 Solve 158*b + 148*b - 6802 = 127*b for b. 38 Solve 98 = -1237*p + 2474*p - 1230*p for p. 14 Solve 174*z - 61*z = -678 for z. -6 Solve -40*x + 818 = 498 for x. 8 Solve 638 - 619 + 1926 = -389*p for p. -5 Solve 3839 + 140 = -575*p + 18929 for p. 26 Solve 522*f - 457*f - 756 = 609 for f. 21 Solve -456 = -9*v - 23*v - 6*v for v. 12 Solve -389 = -279*m + 2896 + 2853 for m. 22 Solve 179*r + 728 - 124 = -2439 for r. -17 Solve -76*x + 152*x = 760 for x. 10
{ "pile_set_name": "DM Mathematics" }
ollect the terms in -53*p - 18*p + 6*p - 57*p. -122*p Collect the terms in 62*f**2 + 40*f**2 - 48*f**2 + 73*f**2 + 2. 127*f**2 + 2 Collect the terms in -90*x - 63*x + 3*x**2 + 153*x. 3*x**2 Collect the terms in 42*b**2 - 90*b**2 + 52*b**2. 4*b**2 Collect the terms in -4127*v + 163*v**2 + 4127*v. 163*v**2 Collect the terms in 0*p + 0*p**3 - p**3 + 0*p + 44. -p**3 + 44 Collect the terms in -p + 2*p + 2*p + 4*p. 7*p Collect the terms in 111*c - 215*c + 118*c. 14*c Collect the terms in -5*n - n + 3*n + 0*n. -3*n Collect the terms in 2 - 4 + 2 + 319*p**2. 319*p**2 Collect the terms in 0*a + 8*a + 7*a - 19*a + 5*a. a Collect the terms in 4*y**2 + 7*y**2 - 55*y**3 + 4*y**2. -55*y**3 + 15*y**2 Collect the terms in 18 + 19 - 36 + b**3. b**3 + 1 Collect the terms in 1 + 5*n + 1 - 1 - 7. 5*n - 6 Collect the terms in 4*x**2 + 312*x - 312*x. 4*x**2 Collect the terms in k - 8*k + 8*k - 4*k + k. -2*k Collect the terms in -133*i - 13*i + 632*i. 486*i Collect the terms in -15*t**3 - 8*t**3 - 39*t**3. -62*t**3 Collect the terms in 36 + 37 + 31 - 104 + 6*g**3. 6*g**3 Collect the terms in 0*j**2 + 4*j**2 + 19*j**2. 23*j**2 Collect the terms in -173*l**2 - 192*l**2 + 313*l**2. -52*l**2 Collect the terms in -19*j**3 + 55*j**3 - 16*j**3 - 19*j**3. j**3 Collect the terms in 87*s**3 - 1509*s**2 + 1509*s**2. 87*s**3 Collect the terms in -3*d + 16*d**2 + 3*d - 15*d**2. d**2 Collect the terms in 4548*o + 4547*o - 9093*o. 2*o Collect the terms in 9 + 16*z**2 - 9 - 27*z**2 + 10*z**2. -z**2 Collect the terms in -26*x**3 - 86*x**2 - 6*x + 86*x**2. -26*x**3 - 6*x Collect the terms in 39*n**3 - 46*n**3 + 4*n**2 - 4*n**2. -7*n**3 Collect the terms in 6*n + 8*n - 3*n - 18*n + 0*n. -7*n Collect the terms in -c**3 - 124*c + 240*c - 116*c. -c**3 Collect the terms in -4 + 4 - 25*m**3 - 16*m**3. -41*m**3 Collect the terms in -9 - 14 - 4*f + 23. -4*f Collect the terms in -2 - 60*k + 1 - 45*k. -105*k - 1 Collect the terms in 1 - 1310*d + 1314*d - 1. 4*d Collect the terms in 113 - 53 - 151*a**2 - 60. -151*a**2 Collect the terms in 17*f**3 + 5 - 6 - 15*f**3 + 1. 2*f**3 Collect the terms in -i**2 - 2*i**2 - 7*i**2 + 3*i**2. -7*i**2 Collect the terms in 8*t + 28*t + 4*t. 40*t Collect the terms in -8*m**2 - 11 + m**2 + 11. -7*m**2 Collect the terms in -5*x**2 - 2577*x + 2*x**2 + 1295*x + 1282*x. -3*x**2 Collect the terms in 4987*g - g**2 - 4987*g. -g**2 Collect the terms in 2824 + 0*f**2 - 2*f**2 - 2824. -2*f**2 Collect the terms in 4 - 4 + 4*i. 4*i Collect the terms in -2*n - 86014 + 2*n + 2*n**3 + 86014. 2*n**3 Collect the terms in -7*l - 98 + 98. -7*l Collect the terms in -8 - 18*k**2 + 5 - 4 - 7. -18*k**2 - 14 Collect the terms in -5337*o - 5338*o + 10675*o + o**3. o**3 Collect the terms in 0*b + 1819*b**3 + 2*b - 1842*b**3. -23*b**3 + 2*b Collect the terms in -145529*j - 145528*j + 291055*j. -2*j Collect the terms in -s + 72 + s - 21*s**2. -21*s**2 + 72 Collect the terms in -1281*q**2 - 2 + 2 + 1282*q**2. q**2 Collect the terms in -5 - 12*m + 1 - 9*m. -21*m - 4 Collect the terms in 18*r - 5*r**3 + r**3 + 6*r**3 - 3*r**3. -r**3 + 18*r Collect the terms in -1674889*a + 1674889*a + a**3. a**3 Collect the terms in -3*a**3 + 18*a**3 - 10*a**3. 5*a**3 Collect the terms in -15*c - 3*c**2 - 14*c + 29*c. -3*c**2 Collect the terms in 25*i**3 - 63*i**3 + 17*i**3 + 20*i**3. -i**3 Collect the terms in -9*t**3 + 14*t**3 + 81*t**3. 86*t**3 Collect the terms in 9 + 6*d - 15 + 6. 6*d Collect the terms in 15122 - 5*g**2 - 15122. -5*g**2 Collect the terms in 1 - j**2 - 2 + 2 - 7*j**2. -8*j**2 + 1 Collect the terms in 4*p - 8*p**3 - 62*p**3 - 4*p. -70*p**3 Collect the terms in 13*z**3 + 3*z**3 + 88*z**3. 104*z**3 Collect the terms in 1297 - 1297 - d**3. -d**3 Collect the terms in 426 + o**2 + 438 - 864. o**2 Collect the terms in -12 - 6 + 724*x**2 - 725*x**2 + 18. -x**2 Collect the terms in -6*y**2 + 7*y**2 + 6*y**2. 7*y**2 Collect the terms in -7*s - 3*s - 13*s + 27*s. 4*s Collect the terms in -4*f + 4*f - 2*f. -2*f Collect the terms in m**2 - m**2 - 17*m**2 + 14*m**2. -3*m**2 Collect the terms in -13 + 2 + 4*o - o - 6. 3*o - 17 Collect the terms in -8*u + 2*u + 4*u. -2*u Collect the terms in -18*v + 34*v + 38*v. 54*v Collect the terms in -3409 + 1707 + 1702 + 2*a. 2*a Collect the terms in 76*t - 227*t + 77*t + 76*t. 2*t Collect the terms in 6*f - 3*f - 17 - 2*f + 283. f + 266 Collect the terms in -5*k - 3*k**3 + 10*k - 23*k - 10*k. -3*k**3 - 28*k Collect the terms in -8*s**3 - 16*s**2 + 16*s**2 + 2*s**3. -6*s**3 Collect the terms in 2*y**3 + 1220 - 1220. 2*y**3 Collect the terms in 4*j - 4*j - 482*j**2 + 966*j**2 - 483*j**2. j**2 Collect the terms in f - 11*f - 2*f. -12*f Collect the terms in -13*f**3 + 6*f**3 + 11*f**3. 4*f**3 Collect the terms in -7 - 32*w**3 + 30*w**3 + 7. -2*w**3 Collect the terms in -6*i + 10*i - 2*i. 2*i Collect the terms in -122 + 2*r + 122. 2*r Collect the terms in 38*x - 13*x - 7*x. 18*x Collect the terms in -18*r**3 - 24*r**3 + 67*r**3 + 60*r**3. 85*r**3 Collect the terms in 4*b**2 + 21 - 19 - b**2. 3*b**2 + 2 Collect the terms in -16083*i - 15556*i + 4351*i. -27288*i Collect the terms in -28*s**3 + 186*s**2 - 186*s**2. -28*s**3 Collect the terms in -90*x**3 - 92*x**3 - 89*x**3 + 274*x**3. 3*x**3 Collect the terms in 1344*p**2 - 670*p**2 - 672*p**2. 2*p**2 Collect the terms in -5*d**2 + d**2 - 2*d**2 - 2*d**2. -8*d**2 Collect the terms in 5*b + 4*b**3 - 5*b + 7*b**3. 11*b**3 Collect the terms in 99 - 99 + 48*j**3. 48*j**3 Collect the terms in -45*b + 27 - 27. -45*b Collect the terms in -40*l**3 + 25*l**3 + 21*l**3. 6*l**3 Collect the terms in 9*h**3 - 6*h**3 - 5*h**3. -2*h**3 Collect the terms in 17*w + 22*w - 33*w. 6*w Collect the terms in j - 4*j + 12*j + 6*j. 15*j Collect the terms in -78*m - 81*m + 160*m. m Collect the terms in -26 + 26 + 3*c - 2*c - 6*c. -5*c Collect the terms in -65*s + 230*s**3 + 65*s. 230*s**3 Collect the terms in 6*g**3 - 2*g**3 + 2*g**3 - 4*g**3. 2*g**3 Collect the terms in 4 - 44*q - 5 + 2. -44*q + 1 Collect the terms in -74*d + 2 - 2 - 9*d. -83*d Collect the terms in 15*i**3 - 11*i**3 - 7 + 6 + 1. 4*i**3 Collect the terms in 136*k**3 - 31*k**3 - 4*k + 4*k. 105*k**3 Collect the terms in -4*d**3 + 4 + 3 - 7. -4*d**3 Collect the terms in -67*k**2 - 79*k**2 + 143*k**2. -3*k**2 Collect the terms in 24*y - 53*y + 33*y. 4*y Collect the terms in 19 - 53 + 18 + 16 - 4*g**3. -4*g**3 Collect the terms in -13*x + 8*x + 5*x + 15*x**3. 15*x**3 Collect the terms in 30 - 30 - 22*j + 22*j - 15*j**2. -15*j**2 Collect the terms in 490*v**2 + 4 - 4 - 2461*v**2. -1971*v**2 Collect the terms in -6*t**3 - 20*t**3 + 5*t**3. -21*t**3 Collect the terms in 81*x + 79*x - 160*x + 5*x**3 + 5*x**3. 10*x**3 Collect the terms in 11368 + 2*n - 11368. 2*n Collect the terms in -8 + 8 - 48*k - 48*k. -96*k Collect the terms in 127*r**3 - r**2 + r**2 - 24*r**3. 103*r**3 Collect the terms in i - 20*i**3 + 26*i**3 - i. 6*i**3 Collect the terms in 21*j + 19*j + 2*j - 11*j. 31*j Collect the terms in -2*c**2 + 2*c**2 + 356*c**3 - 357*c**3. -c**3 Collect the terms in 7*r**2 - 9*r**2 + 0*r**2 - r**2. -3*r**2 Collect the terms in -206*h + 206*h + 2*h**2. 2*h**2 Collect the terms in 293*p**3 - 152*p**3 - 143*p**3. -2*p**3 Collect the terms in 3971 - 7*n**2 - 3971. -7*n**2 Collect the terms in -216*g**3 + 422*g**3 - 213*g**3. -7*g**3 Collect the terms in 39 - 16 - 4*j - 23. -4*j Collect the terms in -26 + 39*w + 26. 39*w Collect the terms in -1520*x + 3037*x - 1493*x. 24*x Collect the terms in 22*m + 2*m**3 - 8*m**3 - 23*m. -6*m**3 - m Collect the terms in -2 - v + 19 - 10 - 7. -v Collect the terms in 9*i + 4*i - 18*i. -5*i Collect the terms in 17759 - 14*j**3 - 5*j**3 - 17759. -19*j**3 Collect the terms in -89 - 4*o + 60 + 4*o + 2*o**2. 2*o**2 - 29 Collect the terms in 51 - 29 - 22 - x. -x Collect the terms in -9*q - q**2 - 2*q + 11*q. -q**2 Collect the terms in 2*w**2 - 2227*w + 2227*w. 2*w**2 Collect the terms in -9*m**3 - 235*m + 235*m. -9*m**3 Collect the terms in 59*d + 52*d + 3*d**2 - 111*d. 3*d**2 Collect the terms in -2*c + 8*c + c + 3*c. 10*c Collect the terms in 13*c - 11*c - c. c Collect the terms in 16779*h + 13*h**3 - 16779*h. 13*h**3 Collect the terms in 39867*a - 2*a**2 - 39867*a. -2*a**2 Collect the terms in -8*d**2 - 17*d**2 + 20*d**2 + 2*d**2. -3*d**2 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
2184us? 0.000000000930894 What is thirteen fifths of a milligram in micrograms? 2600 How many minutes are there in thirteen fifths of a week? 26208 What is one fifth of a kilometer in meters? 200 How many milligrams are there in 5/4 of a gram? 1250 How many centuries are there in 105175.5 months? 87.64625 How many millimeters are there in five quarters of a meter? 1250 What is 1/10 of a century in years? 10 What is 119.9213m in nanometers? 119921300000 What is fifty-four fifths of a century in months? 12960 Convert 606141.3mm to meters. 606.1413 Convert 5.250991 decades to millennia. 0.05250991 How many millennia are there in 81467.54 decades? 814.6754 What is 2/15 of a day in minutes? 192 What is 9.130535ng in milligrams? 0.000009130535 Convert 4509.973ml to litres. 4.509973 How many days are there in 538.77744ms? 0.00000623585 What is seventeen quarters of a microgram in nanograms? 4250 What is eleven quarters of a meter in centimeters? 275 What is 9274.137 tonnes in nanograms? 9274137000000000000 How many nanometers are there in 13.64181 kilometers? 13641810000000 What is 3.658027 litres in millilitres? 3658.027 What is 3/32 of a day in minutes? 135 How many years are there in 27/2 of a millennium? 13500 Convert 0.3203796 millilitres to litres. 0.0003203796 What is 0.5042327cm in kilometers? 0.000005042327 What is 63.13357ml in litres? 0.06313357 What is thirteen fifths of a litre in millilitres? 2600 What is 3/5 of a millimeter in micrometers? 600 Convert 9.62742ug to grams. 0.00000962742 What is 2/125 of a gram in milligrams? 16 Convert 3.295856 nanograms to micrograms. 0.003295856 How many centuries are there in 160.4511 millennia? 1604.511 What is 501.6678 litres in millilitres? 501667.8 How many meters are there in 3/10 of a kilometer? 300 How many years are there in 1/5 of a century? 20 What is eight thirds of a century in months? 3200 What is 856.0993 micrometers in nanometers? 856099.3 Convert 718833.8 millennia to years. 718833800 What is 1/5 of a century in decades? 2 What is 427059.9 minutes in nanoseconds? 25623594000000000 What is 0.7745687 hours in seconds? 2788.44732 How many months are there in 27.50951 decades? 3301.1412 Convert 3.95857 nanometers to kilometers. 0.00000000000395857 How many micrometers are there in 55/4 of a millimeter? 13750 What is 49950.48l in millilitres? 49950480 How many meters are there in 30.93752um? 0.00003093752 How many millilitres are there in seven eighths of a litre? 875 How many milliseconds are there in 7/8 of a minute? 52500 How many nanograms are there in 28511.11 milligrams? 28511110000 How many nanograms are there in 9353.17 micrograms? 9353170 How many meters are there in 1614.127cm? 16.14127 What is 639255.6nm in meters? 0.0006392556 Convert 289.6596cm to kilometers. 0.002896596 What is 90304.69 days in milliseconds? 7802325216000 What is one quarter of a tonne in kilograms? 250 What is 11/2 of a microgram in nanograms? 5500 How many litres are there in 377061.6ml? 377.0616 How many millilitres are there in thirty-seven halves of a litre? 18500 What is 5/6 of a millennium in months? 10000 What is 27/4 of a meter in millimeters? 6750 What is 2/15 of a minute in seconds? 8 What is 0.7773608 centuries in months? 932.83296 How many micrometers are there in thirty-two fifths of a millimeter? 6400 What is 0.1435685 micrograms in grams? 0.0000001435685 How many litres are there in 35.68773 millilitres? 0.03568773 How many seconds are there in 2/27 of a week? 44800 What is 3/40 of a millisecond in microseconds? 75 How many kilograms are there in 0.1529599 grams? 0.0001529599 How many micrograms are there in 3538.888ng? 3.538888 What is 7/6 of a week in hours? 196 How many micrometers are there in 55.09018m? 55090180 How many millilitres are there in 13/5 of a litre? 2600 What is 803856.7 nanograms in kilograms? 0.0000008038567 What is 8.584597mm in meters? 0.008584597 Convert 314502.6 litres to millilitres. 314502600 What is one fifteenth of a millennium in months? 800 How many millilitres are there in 34/5 of a litre? 6800 How many milligrams are there in 75.49489ug? 0.07549489 What is 17/4 of a week in minutes? 42840 What is 0.1870261nm in millimeters? 0.0000001870261 How many hours are there in 1/6 of a week? 28 Convert 52928.72l to millilitres. 52928720 How many grams are there in 704.8131 kilograms? 704813.1 What is 3.893883 milligrams in grams? 0.003893883 What is 51/4 of a litre in millilitres? 12750 How many millilitres are there in fifty-five halves of a litre? 27500 How many millennia are there in 68.33873 years? 0.06833873 How many litres are there in 46909.2ml? 46.9092 What is 1/20 of a millisecond in nanoseconds? 50000 Convert 75586.1 nanograms to micrograms. 75.5861 How many millilitres are there in 0.2382083l? 238.2083 How many nanoseconds are there in 15.55028 minutes? 933016800000 How many milligrams are there in 7.60909 grams? 7609.09 What is fifty-four fifths of a milligram in micrograms? 10800 What is 29/5 of a millennium in years? 5800 What is 5/8 of a kilometer in meters? 625 What is 1/30 of a decade in months? 4 What is three fifths of a meter in centimeters? 60 How many years are there in 2893.97 centuries? 289397 What is thirty-four fifths of a litre in millilitres? 6800 Convert 0.7979413km to millimeters. 797941.3 What is 2/15 of a week in seconds? 80640 What is five eighths of a millisecond in microseconds? 625 How many minutes are there in 1/18 of a week? 560 How many months are there in 0.1822739 decades? 21.872868 How many kilograms are there in five quarters of a tonne? 1250 How many millilitres are there in 332.6997l? 332699.7 How many nanometers are there in three eighths of a micrometer? 375 What is 3/32 of a millisecond in nanoseconds? 93750 What is 6089.35131s in weeks? 0.010068371875 What is one quarter of a year in months? 3 Convert 0.8428644kg to micrograms. 842864400 What is 0.96827ml in litres? 0.00096827 Convert 76751.39ms to seconds. 76.75139 What is one quarter of a kilogram in grams? 250 Convert 916.2027 centimeters to millimeters. 9162.027 How many millilitres are there in 7/2 of a litre? 3500 What is 750726.4 litres in millilitres? 750726400 What is six fifths of a decade in months? 144 How many years are there in 2222.2365 months? 185.186375 How many grams are there in 11/4 of a kilogram? 2750 What is 1.1813889 months in millennia? 0.000098449075 How many nanograms are there in one tenth of a milligram? 100000 How many millilitres are there in 26.94197l? 26941.97 Convert 3257.648 weeks to minutes. 32837091.84 What is 18466.82mm in centimeters? 1846.682 How many meters are there in 0.4237914nm? 0.0000000004237914 How many grams are there in fifteen quarters of a kilogram? 3750 What is 41/2 of a milligram in micrograms? 20500 How many micrometers are there in one tenth of a meter? 100000 What is 2221.7538 months in decades? 18.514615 What is 256.270473 seconds in days? 0.0029660934375 What is 50.60732s in milliseconds? 50607.32 What is one quarter of a gram in milligrams? 250 What is 3/10 of a litre in millilitres? 300 How many days are there in 2341338.75ms? 0.027098828125 What is twenty-seven quarters of a microsecond in nanoseconds? 6750 How many millilitres are there in 7/2 of a litre? 3500 Convert 0.9759332nm to centimeters. 0.00000009759332 What is 3/8 of a litre in millilitres? 375 What is seven halves of a micrometer in nanometers? 3500 Convert 9623.91l to millilitres. 9623910 What is 18995.36nm in micrometers? 18.99536 What is 1/4 of a microsecond in nanoseconds? 250 What is 10/7 of a week in days? 10 Convert 421.5279 litres to millilitres. 421527.9 What is 74.94476 weeks in days? 524.61332 What is 92278.33 weeks in microseconds? 55809933984000000 What is 40751.9 years in months? 489022.8 Convert 16368.465 months to centuries. 13.6403875 How many millennia are there in 667772.4 years? 667.7724 How many seconds are there in 37/5 of a hour? 26640 How many minutes are there in 42177.06 seconds? 702.951 How many centimeters are there in 3/32 of a kilometer? 9375 What is 3/8 of a century in months? 450 What is four thirds of a decade in months? 160 What is 115.9907 days in weeks? 16.5701 How many nanoseconds are there in 31.06918 minutes?
{ "pile_set_name": "DM Mathematics" }
et i(v) = v - 1. Let y be 5/2*(-4)/(-10). Let c(t) = 5*t - 1. Let n(d) = y*c(d) - 4*i(d). Differentiate n(u) wrt u. 1 Suppose -7*b = -6*b - 1. Differentiate -4*x**3 - 6*x**2 + 13*x**2 + b - 7*x**2 wrt x. -12*x**2 Let m(o) be the first derivative of 9*o**6/2 + 8*o**2 - 39. Find the second derivative of m(c) wrt c. 540*c**3 Let m = 4 + -4. Find the third derivative of 4*j**4 + m*j**2 + j**2 + 2*j**2 wrt j. 96*j Let g(y) = -1. Let z = 11 + -8. Let b(d) = 0 - 2*d**2 - 5*d + z + 7*d. Let h(r) = b(r) + 3*g(r). Find the second derivative of h(t) wrt t. -4 Let y(m) be the first derivative of 12*m**5/5 + 3*m**3 + 11. Find the third derivative of y(o) wrt o. 288*o Let d(z) be the first derivative of 5/3*z**3 - 2 - 2*z**4 + 0*z**2 + 0*z. Find the third derivative of d(b) wrt b. -48 Let y(s) be the third derivative of -3*s**5/20 - s**4/4 + 8*s**2. Find the second derivative of y(p) wrt p. -18 Let h = 3 - -3. Find the first derivative of -8 - 2*c**4 + c**4 + h wrt c. -4*c**3 Suppose 8 = 4*s + 2*z, 10 = 4*s - 2*s - 2*z. Suppose -6*f = -2*f. What is the second derivative of f*q**3 + 5*q**s + q - 3*q**3 wrt q? 12*q Suppose -1 - 14 = -5*x. Find the third derivative of y - y + y**x - 5*y**2 wrt y. 6 Let y be (3 + -2)*(1 + -1). Find the first derivative of -3 + v**3 - 2*v**3 + y*v**3 - v**3 wrt v. -6*v**2 Let i(d) be the second derivative of -d**6/144 - d**5/30 + d**4/2 - d. Let g(m) be the third derivative of i(m). What is the derivative of g(z) wrt z? -5 Let j(p) be the third derivative of p**4/4 + 5*p**3/6 + 2*p**2. Differentiate j(m) with respect to m. 6 Let t(i) = 24*i**3 - 4*i**2 - i + 7. Let v(u) = -72*u**3 + 11*u**2 + 3*u - 21. Let p(h) = 8*t(h) + 3*v(h). What is the second derivative of p(j) wrt j? -144*j + 2 Let d(u) = -9*u**3 + 3*u**2 - 3*u + 10. Let z(c) = 8*c**3 - 2*c**2 + 2*c - 10. Let k(s) = -2*d(s) - 3*z(s). Find the first derivative of k(q) wrt q. -18*q**2 Let i(j) = -j**3 + 4*j**2 - 2*j. Let r be i(3). Differentiate b**3 - 1 + 1 + 6 - r with respect to b. 3*b**2 What is the second derivative of -7*n**4 - 29*n - 36*n + 68*n wrt n? -84*n**2 Let f(h) be the first derivative of 2 - 1/3*h**3 + 0*h**2 + 0*h**5 + 0*h**4 - 1/3*h**6 + 0*h. Find the third derivative of f(r) wrt r. -120*r**2 Let r = 1 + 1. What is the second derivative of -6*k**r + 2*k**2 - 2*k**2 + k wrt k? -12 Suppose 0*v - 4*v = -4*a - 36, -5*a = v + 3. Find the first derivative of v - 3 + 5 + 22*s - 14*s wrt s. 8 Let f(v) be the first derivative of -v**5 + 4*v**3 + 12. Find the third derivative of f(h) wrt h. -120*h Let t(l) be the third derivative of 0*l + 0 - 1/12*l**5 + 0*l**4 + 1/3*l**3 + 3*l**2. Differentiate t(s) wrt s. -10*s Let q(p) = -p**5 + p**4 + p - 1. Let j(i) = 39*i**5 - 2*i**4 - 19*i**2 - 2*i + 2. Let k(h) = j(h) + 2*q(h). What is the third derivative of k(d) wrt d? 2220*d**2 Let t(a) = -26*a**2 - 3*a - 3. Let p(i) = 25*i**2 + 4*i + 3. Let n(d) = 5*p(d) + 6*t(d). Find the second derivative of n(h) wrt h. -62 Find the second derivative of -10*r - 685 + 685 - 9*r**3 wrt r. -54*r Let s(q) be the first derivative of q**7/840 - q**4/6 + q**3/3 + 1. Let j(m) be the third derivative of s(m). Differentiate j(a) with respect to a. 3*a**2 Let i(o) = 2*o**2 - 3*o. Let l be i(2). Let x = 14 - 12. Find the second derivative of 3*m - m**2 - m**x - m**l + 2*m**2 wrt m. -2 Let z be (-2 - 0)/(6/9). Let q be 0 + 4 + 1 + z. What is the second derivative of -3*r**4 + r**4 - q*r + r**4 wrt r? -12*r**2 Let u(n) be the third derivative of n**7/1680 - n**6/720 - n**5/30 - 3*n**2. Let a(j) be the third derivative of u(j). Differentiate a(i) with respect to i. 3 Let u(m) = -m**4 - m**3 - m + 1. Let j(q) = 3*q**4 + 2*q**3 + 4*q. Let p(y) = j(y) + 2*u(y). Let s(t) be the first derivative of p(t). Differentiate s(g) wrt g. 12*g**2 Suppose g + 4*g = 0. Let m(d) be the third derivative of 0*d**4 + 0*d - d**2 + g - 1/3*d**3 - 1/60*d**5. What is the first derivative of m(f) wrt f? -2*f Differentiate -58*w**3 + 11 + 58*w**3 - 15*w**4 with respect to w. -60*w**3 Find the second derivative of 16*i + 10*i**5 - 3*i**5 + 8*i**5 wrt i. 300*i**3 Let b(w) = -3*w**4 - 3*w**3 + 3*w**2 + 7*w. Let p(h) = -4*h**4 - 2*h**3 + 2*h**2 + 6*h. Let i(l) = 2*b(l) - 3*p(l). What is the second derivative of i(q) wrt q? 72*q**2 Let i(c) = 7*c**4 + 3*c**3 + 6*c - 3. Let a(h) = -34*h**4 - 16*h**3 - 30*h + 16. Let o(w) = 3*a(w) + 16*i(w). What is the second derivative of o(j) wrt j? 120*j**2 Let z(x) = x**3 - 5*x**2 + x + 5. Let a be z(4). Let v = 11 + a. What is the third derivative of -8*k**2 + k**v + 0*k**2 + 7*k**2 wrt k? 24*k Suppose 2*o = -3*o + 10. Suppose 2 = 3*w - 4. What is the first derivative of -1 + 2*t**3 - o*t**3 + w*t**3 wrt t? 6*t**2 Let g = -29 - -34. Let u(a) be the third derivative of -2*a**2 + 0 + 1/24*a**4 + 0*a + 0*a**g + 0*a**3 - 1/60*a**6. What is the second derivative of u(r) wrt r? -12*r Let o = 16 + -13. Find the second derivative of -6*r**o + r + 5*r + r**3 wrt r. -30*r Let u = 10 + -8. Find the third derivative of -3*y**2 + y**2 + 0*y**4 - 4*y**4 + y**u wrt y. -96*y Let s(i) be the third derivative of i**7/280 + i**5/40 - i**3/3 + i**2. Let r(d) be the first derivative of s(d). Find the second derivative of r(g) wrt g. 18*g Let l(z) = -2*z**2 - 6. Let g(d) = -d**2 - 6. Let r(x) = 6*g(x) - 5*l(x). Differentiate r(h) wrt h. 8*h Let r(c) = 26*c**6 - c**5 + 28*c**2 - 1. Let f(p) = p**6 - p**5 + p**2 - 1. Let z(b) = -f(b) + r(b). What is the third derivative of z(q) wrt q? 3000*q**3 Let h(l) be the first derivative of 3*l**4/4 + 5*l**3/3 - l - 1. Let f(m) = 4*m**3 + 6*m**2 - 1. Let u(c) = -5*f(c) + 6*h(c). Differentiate u(s) wrt s. -6*s**2 Let m(p) be the second derivative of 0*p**2 + 0 + 3/20*p**5 - 1/2*p**3 + 2*p + 0*p**4. Find the second derivative of m(a) wrt a. 18*a Let w(l) = -104*l**2 - 7*l - 113. Let g(s) = -35*s**2 - 2*s - 38. Let k(c) = -7*g(c) + 2*w(c). Differentiate k(q) wrt q. 74*q Suppose -3*w - 3*i - 6 + 0 = 0, 3*w - 4*i - 22 = 0. Let f be ((-4)/5)/((-4)/10). What is the third derivative of 4*v**5 + 0*v**f - v**w - v**5 wrt v? 180*v**2 What is the third derivative of -6*o**3 + 10 - 5*o**2 - 10 wrt o? -36 Let u(q) = 14*q**3 + 2*q + 7. Let g(a) = 13*a**3 + 3*a + 7. Let d(h) = 2*g(h) - 3*u(h). Differentiate d(k) with respect to k. -48*k**2 Let i(y) = y**2 + 6*y + 4. Let a be i(-6). Suppose a*r = -0*r + 8. What is the third derivative of 3*c**2 - c**4 - c**r + 0*c**4 wrt c? -24*c Find the third derivative of 4*w**6 - 2*w**6 + 2*w**2 + 4*w**2 - 3*w**2 wrt w. 240*w**3 Let h(l) = -7*l**4 - 5*l - 16. Let y(u) = 3*u**4 + 2*u + 8. Let d(p) = -2*h(p) - 5*y(p). Differentiate d(n) with respect to n. -4*n**3 Let s(q) be the first derivative of 4*q**5/5 - 2*q**3/3 + 8. What is the third derivative of s(v) wrt v? 96*v Let a(u) be the third derivative of 2*u**7/15 - 31*u**3/6 - 18*u**2. Find the first derivative of a(d) wrt d. 112*d**3 Differentiate -1 + 5*n**2 - 4*n**2 + 3*n**2 wrt n. 8*n Let b be (1 - (-1 - -2))/1. Let p = -3 - -7. What is the second derivative of b*s - p*s + 3*s + s**4 wrt s? 12*s**2 Find the first derivative of 19 - 3*o**2 + 8*o**2 - 3*o**2 wrt o. 4*o What is the third derivative of 5*x**2 - 6*x**5 - 17*x**6 - 8*x**5 + 14*x**5 wrt x? -2040*x**3 Let s(p) = 7*p - 10. Let i be s(4). Find the second derivative of 3*h - i*h + 9*h + 3*h**3 wrt h. 18*h Let w(o) = o**4 + o**3 - o + 1. Let l(j) = -4*j**4 + 5*j**3 - 5*j. Let r(x) = -l(x) + 5*w(x). What is the derivative of r(u) wrt u? 36*u**3 Find the second derivative of 5*o + 17*o**4 - 1723*o**3 + 1723*o**3 wrt o. 204*o**2 Let p(u) be the first derivative of 0*u**2 + 1/6*u**3 - 2 + 1/6*u**4 + u. Let q(b) be the first derivative of p(b). What is the second derivative of q(i) wrt i? 4 Let f(y) = 8*y**3 + 18*y**2 + 2*y - 2. Let s(c) = c**3 - c**2 - c + 1. Let a(o) = -f(o) - 2*s(o). Find the third derivative of a(k) wrt k. -60 Suppose -a = -11 + 7. Let q(w) be the second derivative of 0*w**5 + 3/2*w**2 + 0 - 2*w + 0*w**a + 0*w**3 + 1/15*w**6. Differentiate q(o) with respect to o. 8*o**3 Let z be 10/1 + -3 + 0. What is the second derivative of z - 7 - 4*f - f**5 wrt f? -20*f**3 Let w(t) = -11*t**3 - 11*t**2. Let l(j) = j**3 - j**2. Let m(d) = -4*l(d) - w(d). What is the third derivative of m(x) wrt x? 42 What is the third derivative of -415*v**
{ "pile_set_name": "DM Mathematics" }
- 347. What is the units digit of m? 9 What is the tens digit of (1/(-3))/(38/(-107274))? 4 Let o(c) = -c**3 + 6*c**2 + 11*c - 1. Let v be o(6). Let j = v - 53. What is the tens digit of j? 1 Let n = -2759 + 4157. What is the tens digit of n? 9 Let a = -352 - -786. What is the units digit of a? 4 Let l(s) = 20*s - 2. Let m = 37 + -35. What is the tens digit of l(m)? 3 Let c(a) be the second derivative of -2*a + 5/3*a**3 + 0 - 1/2*a**2. What is the tens digit of c(2)? 1 Suppose 5*u - 12 - 9 = 2*l, -4*u - 5*l - 3 = 0. Suppose u*r - 2*r = -y + 103, 3*r = -4*y + 411. What is the hundreds digit of y? 1 Suppose 872 = 12*o + 4112. Let n = o + 472. What is the tens digit of n? 0 Let z = -26 + 32. Suppose -z*q + q = -325. What is the units digit of q? 5 Suppose 0*k - k + 4*a = -6, 5*a + 11 = 3*k. Suppose -65 + 27 = -k*n. What is the tens digit of n? 1 Suppose 3*p + p = 0. Let h(k) = k**3 + k - 34. Let w be h(p). What is the units digit of (4 - -2)*w/(-6)? 4 Suppose -13840 = -9*z - 2374. What is the thousands digit of z? 1 Suppose 10*y + 3*h + 2466 = 13*y, 2*h = -6. What is the units digit of y? 9 Let r(d) = 285*d**2 - 10*d + 14. What is the hundreds digit of r(2)? 1 Suppose -b + 5 = -0. Suppose 19*v - 14*v = 10. Suppose -b*n - 3*c + 55 = 2*c, -v*c + 50 = 4*n. What is the units digit of n? 4 Suppose 3*z = 4*v - 6, 2*z + z - 6 = 0. What is the units digit of v? 3 Let g = 47 - 51. What is the units digit of 11/(-44) - 341/g? 5 Suppose -7*s + 4 = -31. Suppose -5*f = -f - s*o - 26, 4*f = -2*o + 12. Suppose h + 0*h + 63 = g, -4*h + 244 = f*g. What is the tens digit of g? 6 Suppose r - 589 = 3*o, -896 + 3873 = 5*r + o. What is the units digit of r? 5 Let u(d) = 297*d**2 + 3*d + 2. Let b be u(-2). Suppose -5*g + 2*v + b = 5*v, g + v = 238. Suppose -75 = 4*w - g. What is the tens digit of w? 4 Let k = 5935 - 3328. What is the hundreds digit of k? 6 Let w(j) = 138*j - 4. Let o(h) = -2*h**3 + 4*h**2 + h - 1. Let s be o(2). What is the units digit of w(s)? 4 Suppose 4*d + 418 = j, 12 = -3*j - 4*d + 1330. What is the units digit of j? 4 Let l(f) = 3*f**2 - 3*f**2 - 6 + 3*f**2 - 4*f. Let j = -234 + 231. What is the tens digit of l(j)? 3 Let f be (-1989)/(-34) + -1*(-1)/(-2). What is the tens digit of (78/15)/(f/(-20) + 3)? 5 Suppose 3*o = p - 220, 4*p - 5*o - 226 = 3*p. Suppose -2*a = 3*r + 2*a - p, -3*a - 15 = 0. Suppose r = 3*u - 58. What is the tens digit of u? 4 Suppose -2*v - 1 = -9. Suppose -v*a + 481 = 3*r, 3*r + 2 = 11. What is the hundreds digit of a? 1 Let m = 6 - 10. Let g(t) = -t**3 - 2*t**2 + 3*t - 2. Let b be g(m). What is the units digit of 3/4*4 + b? 1 Suppose 422 = 2*w - 4*k - 1102, -2301 = -3*w + 3*k. What is the units digit of w? 2 What is the tens digit of ((-16)/(-48))/((-2)/(-426))? 7 Suppose -32 = 5*c - 2*t + 6*t, -2*c - 20 = -2*t. Let g(b) = 3*b**2 + 8*b - 15. What is the tens digit of g(c)? 1 Suppose 68 + 419 = d. What is the units digit of d? 7 Let a(s) = s**2 + 7*s + 43. What is the hundreds digit of a(23)? 7 Suppose -5*h - 4*z + 1230 = 0, -14*h - 3*z = -11*h - 738. What is the units digit of h? 6 Let n = -387 - -830. Let m = n + -311. What is the units digit of m? 2 What is the units digit of 2/(-14) - (595116/(-126) - -12)? 1 Let f(r) = 171*r + 24. What is the units digit of f(27)? 1 Let j = -164 - -283. Suppose -45 = -4*u + j. What is the units digit of u? 1 What is the hundreds digit of (3 - (-4)/(-2))*343? 3 Suppose 1208 = 4*v - 2*v - 7*k, 0 = 4*k. What is the hundreds digit of v? 6 Let r(p) = -p + 16. Let g be r(-9). Let k = 37 - g. What is the units digit of k? 2 Let l(r) = r**3 + 7*r**2 - 8*r - 1. Let g = -22 - -15. Let j be l(g). What is the units digit of j/4 - (-6)/(-8)? 3 Suppose 2*s + 17 = 5*u, -3*s - 12 = -8*u + 5*u. Suppose -g = -6*g + 4*b + 1169, -u*b = g - 230. What is the units digit of g? 3 Suppose 0 = 2*m - 2*q - 2 - 14, -5*q = 4*m + 13. Suppose -2*z + 254 = -m*n, 2*z + 0*z + 3*n = 254. What is the hundreds digit of z? 1 Suppose 4*u - 3*g - 21 = 0, -4*u - 4*g = -3*u + 9. Let o = 82 + -29. Suppose o - 5 = u*y. What is the tens digit of y? 1 Let r be ((-8)/4)/(6/(-12)). Suppose -84 = r*h + 4. Let a = h + 73. What is the tens digit of a? 5 Let p(f) = f**2 + 15*f - 16. Let x be p(-11). Let n = x - -101. What is the units digit of n? 1 Suppose -c + 1422 = 2*i, -i + 1608 = 4*c - 4073. What is the hundreds digit of c? 4 Suppose -4*q = -31 + 7. Let b(a) = a**3 - 4*a**2 + 3*a - 2. What is the units digit of b(q)? 8 Let d(l) = 29*l**3 + l**2 - 22*l - 14. What is the thousands digit of d(4)? 1 What is the units digit of 4/(-3) - ((-33995)/15 - -2)? 3 Let s = 29 - 49. Let d be s/2*510/(-50). What is the tens digit of ((-2)/4)/((-1)/d)? 5 Let y(c) = 2*c**2 - c + 2. Suppose -m + 3 = -0*m. Let v be y(m). Suppose 2*r - 18 = -5*t + v, 2*r = -4*t + 32. What is the tens digit of r? 1 What is the tens digit of (-25746)/(-10) - (-24)/60? 7 Let f = -14 - -47. Let g = -21 + f. What is the tens digit of g? 1 Suppose 0 = -i - 5*a - 8, -2*i + 12*a + 32 = 10*a. Suppose -c - 2*c + 5*l + 140 = 0, 5*c + l = 252. Let m = c + i. What is the tens digit of m? 6 What is the thousands digit of 195*(-1960)/(-525)*(-9)/(-4)? 1 Suppose -a - 10 = a. Let u(h) = -9*h**3 - 7*h**2 + 6. Let l(p) = 13*p**3 + 11*p**2 - 9. Let g(n) = a*l(n) - 7*u(n). What is the units digit of g(-4)? 5 What is the units digit of 1*689 - 19/(171/(-27))? 2 Let t(j) = -4*j - 19. Let a be t(-5). Let z(l) be the third derivative of 7*l**4/24 + l**3/6 - 4*l**2. What is the units digit of z(a)? 8 Suppose 0 = -2*v + 2*o + 2808, -2*v + 5*o + 2595 = -198. What is the units digit of v? 9 Let q = 7 + -8. What is the tens digit of q + (0 - (-42 + 3))? 3 Let a = 523 - 187. What is the units digit of a? 6 Suppose -3*c + 1839 = 8*r, -3*c + 2319 = 3*r + 495. What is the units digit of c? 5 Let a be ((-67)/(-4))/((-3)/(-12)). What is the tens digit of (-2)/(-4)*(a - 9)? 2 Let v be (-4)/(-14) - 5/(-7). Let m = 1 + v. Suppose -5 = -5*p + 2*o, 2*p - 22 = -2*p - m*o. What is the units digit of p? 3 Let o(t) = t - 16. Let j be o(15). Let n(u) = -4*u - 1. Let l be n(j). Suppose -l*w + 2*w = -24. What is the tens digit of w? 2 Suppose 3*z - 68 = 4*h, -3*z + 3*h = 7*h - 76. Let y = z - -6. What is the tens digit of y? 3 Let n(b) = b**2 + 18*b - 7. Let s be n(-18). Let z(t) = t**3 + 9*t**2 + 10*t + 3. What is the units digit of z(s)? 1 Let c(p) be the third derivative of -11*p**4/24 + p**3/2 + 7*p**2. What is the tens digit of c(-6)? 6 Let m be ((-7)/(-14))/(2 + (-127)/64). Suppose -2*n + m = -n. What is the tens digit of n? 3 Let f(w) = 7*w - 8. Let q(p) = -p - 8 + 8. Let t(j) = -f(j) - 4*q(j). What is the units digit of t(-5)? 3 Let l = 3217 + -2127. What is the hundreds digit of l? 0 Suppose 0 = 8*h - 2413 - 707. What is the hundreds digit of h? 3 Let z(j) = -2*j - 3. Let g be z(-5). Let f = g + -26. What is the tens digit of 1 - (3 - 2) - f? 1 Let m = 18 + -26. What is the tens digit of m/(-28) + 1644/28? 5 Let o be 16/4 - -2 - 2. Suppose -o*r + 0*r = 332. Let h = r - -127. What is the units digit of h? 4 Suppose 9 = -2*i + 1. Let d(b) = b**2 - 4*b - 2. What is the units digit of d(i)? 0 Let f(w) be the third derivative of w**5/60 + w**4/6 + 11*w**3/2 - 7*w**2 - w. What is the units digit of f(-13)? 0 Let x(t) = 17*t**3 - 4*t**2 - t - 3. What is the units digit of x(3)? 7 What is the hundreds digit of 1643/3 + 2/(-3)? 5 Let c(j) = -12 - 3*j + 0*j - 14 + 10. Let u = 7 - 19. What is the tens digit of c(u)? 2 Let v = -11 - -14. Suppose w + 15 = v*o, 0 = 4*o - 3 - 13. Let j = w - -4. What is the units digit of j? 1 Suppose -5*j + v = -0*j - 10081, 0 = -2*j - v + 4031. Suppose -4*c = 5*c - j. What is the units digit of c? 4 Let d be 4/((-5)/(-114 + 4)). Suppose 4*m + 0*m = -a - d, m + 4*a = -7. Let z = 56 + m. What is the units digit of z? 3 Let z be 0/(-1) - (-3 + -41). Suppose 5*c - z = 16. What is the tens digit of 26*(2 - c/8)? 1 Let p(w) = w**3 - 2*w**2 - 3*w + 2. Let i be p(5). Let m = -229 + 206. Let a = m + i. What is the units digit of a? 9 What is the units digit of (-5)/(160/(-6424)) + 1/4? 1 Let f = -8 + 10. Let g = f + 0. Suppose -19 = -g*o - 3. What is the units digit of o? 8 Suppose -3*h + 4*c + 215 = 0, 3*h - 20 = -2*c + 165. What is the tens digit of h? 6 Suppose -4*r = -18 + 66. Let y = -
{ "pile_set_name": "DM Mathematics" }
33 Convert -540024 (base 6) to base 7. -242341 Convert -5a51 (base 14) to base 10. -15751 Convert -144 (base 13) to base 14. -121 Convert 57a (base 16) to base 3. 1220221 What is -1324 (base 11) in base 14? -8ac -6366 (base 15) to base 8 -51035 -335 (base 12) to base 11 -3a0 -100100110111 (base 2) to base 3 -10020101 What is -1a07 (base 15) in base 11? -4260 Convert d43 (base 15) to base 4. 232230 -314 (base 8) to base 4 -3030 What is -15582 (base 16) in base 6? -1512430 Convert -101101010011 (base 2) to base 11. -21a6 Convert 932 (base 13) to base 7. 4361 What is 2310 (base 6) in base 10? 546 What is -3235 (base 9) in base 10? -2381 Convert -116 (base 15) to base 12. -186 1a89 (base 11) to base 4 221032 Convert 165636 (base 7) to base 8. 100741 Convert -600 (base 16) to base 14. -7ba What is -14bd (base 15) in base 2? -1000101100101 What is -1241 (base 8) in base 5? -10143 Convert 178 (base 12) to base 2. 11101100 What is 2 (base 9) in base 2? 10 4137 (base 10) to base 16 1029 What is 7945 (base 13) in base 11? 11816 Convert 20416 (base 9) to base 2. 11010010010101 103103 (base 7) to base 6 214452 What is -b7 (base 13) in base 10? -150 e2 (base 15) to base 3 21212 What is 1010101011 (base 2) in base 8? 1253 Convert -401651 (base 7) to base 15. -151bb Convert -4360 (base 8) to base 11. -17a0 What is -8214 (base 10) in base 11? -6198 -210303 (base 4) to base 12 -1443 Convert 976 (base 12) to base 11. 1050 -212503 (base 7) to base 10 -36949 What is 5241 (base 7) in base 16? 732 What is -21223012 (base 4) in base 13? -1505b Convert 221 (base 10) to base 11. 191 Convert -210 (base 11) to base 14. -141 What is -33340 (base 5) in base 11? -1842 -64026 (base 9) to base 11 -29870 17a (base 12) to base 11 1a7 -3306 (base 7) to base 11 -985 Convert -23120 (base 7) to base 4. -1130012 bb1 (base 15) to base 9 3554 What is -123316 (base 7) in base 13? -a4b9 What is -231 (base 10) in base 11? -1a0 What is 102000 (base 3) in base 4? 10221 Convert 232251 (base 6) to base 8. 47007 Convert -16062 (base 7) to base 4. -1012113 Convert 2000022210 (base 3) to base 11. 27833 What is -152 (base 15) in base 11? -255 What is 1352454 (base 6) in base 12? 3872a Convert -30441 (base 5) to base 3. -2201221 What is 191c (base 13) in base 11? 28a3 Convert 30392 (base 11) to base 7. 243260 Convert 105 (base 7) to base 11. 4a Convert 94 (base 10) to base 16. 5e What is 11001110000 (base 2) in base 5? 23043 1102214 (base 5) to base 4 10221303 -41424 (base 5) to base 6 -20403 Convert -32411 (base 10) to base 8. -77233 9622 (base 10) to base 6 112314 Convert 2030 (base 6) to base 7. 1212 Convert 1b38 (base 14) to base 12. 2a46 Convert -23a (base 14) to base 11. -374 -2201 (base 4) to base 7 -320 -2244 (base 5) to base 3 -110000 Convert -21 (base 12) to base 11. -23 What is -11230302 (base 4) in base 10? -23346 Convert -8fd (base 16) to base 2. -100011111101 Convert -11231 (base 5) to base 8. -1460 Convert -111110 (base 3) to base 7. -1026 What is 12164 (base 8) in base 7? 21160 -69 (base 11) to base 7 -135 What is 7 (base 9) in base 10? 7 What is 312210 (base 5) in base 11? 7819 Convert -10424 (base 5) to base 7. -2104 44867 (base 11) to base 15 14389 What is -b6 (base 13) in base 5? -1044 Convert 6a (base 12) to base 8. 122 122510 (base 6) to base 13 5001 Convert 531 (base 13) to base 15. 3e0 -3656 (base 7) to base 16 -554 Convert -193 (base 10) to base 5. -1233 What is -299 (base 11) in base 14? -1b0 What is -8b02 (base 12) in base 13? -7025 Convert 121100112 (base 3) to base 6. 131105 -122120100 (base 3) to base 14 -494b -6110 (base 7) to base 15 -95e Convert 165 (base 7) to base 10. 96 -13a3 (base 12) to base 2 -100011101011 What is 521113 (base 6) in base 14? 112cd What is -147 (base 9) in base 11? -103 951 (base 15) to base 11 1640 101464 (base 8) to base 9 51060 What is -210123 (base 4) in base 11? -182a -1431 (base 14) to base 16 -df3 Convert -14443 (base 8) to base 4. -1210203 Convert -1031 (base 7) to base 10. -365 What is -3004443 (base 5) in base 11? -32760 Convert 7440 (base 9) to base 14. 1dc3 Convert -1cd (base 14) to base 15. -1a2 What is -35 (base 7) in base 9? -28 Convert -112430 (base 5) to base 9. -5572 What is -101010001 (base 2) in base 13? -1cc 11c5 (base 15) to base 14 1545 What is -5c2 (base 14) in base 3? -1120121 Convert -1150 (base 6) to base 2. -100011010 What is -244113 (base 7) in base 6? -542413 -3b (base 13) to base 14 -38 214 (base 6) to base 12 6a What is -553 (base 13) in base 9? -1224 What is 101101011 (base 2) in base 4? 11223 Convert -1420 (base 14) to base 15. -10c1 625 (base 7) to base 14 185 What is -21331032 (base 4) in base 7? -226620 What is 1010001001111 (base 2) in base 10? 5199 Convert -32220 (base 4) to base 2. -1110101000 What is -102230 (base 4) in base 11? -998 1011111111001110 (base 2) to base 8 137716 Convert 231 (base 5) to base 11. 60 Convert 4140 (base 5) to base 12. 395 110130 (base 7) to base 4 10231032 110011000 (base 2) to base 4 12120 Convert 2245 (base 6) to base 2. 1000010101 Convert -1525 (base 6) to base 7. -1130 Convert -7a (base 11) to base 8. -127 Convert -3d0 (base 15) to base 16. -366 Convert -84178 (base 9) to base 14. -16364 20032233 (base 4) to base 14 c3dd Convert 177 (base 15) to base 14. 1a1 What is -13725 (base 11) in base 7? -110606 -c60b (base 13) to base 9 -41512 -20132 (base 5) to base 15 -5b2 -2120333 (base 4) to base 6 -113155 -6031 (base 7) to base 13 -c40 What is 201144 (base 5) in base 16? 1918 Convert -3699 (base 11) to base 7. -20034 -43061 (base 7) to base 4 -2212310 What is 8a74 (base 12) in base 8? 35770 Convert -1321 (base 7) to base 8. -771 -1628 (base 16) to base 8 -13050 10056 (base 8) to base 5 113032 688d (base 14) to base 15 55a7 28111 (base 9) to base 13 8890 Convert 1648a (base 13) to base 6. 524525 Convert -2123322 (base 4) to base 13. -4707 What is -2102011 (base 3) in base 4? -123133 -1155 (base 10) to base 8 -2203 -1374 (base 8) to base 12 -538 -2250 (base 10) to base 9 -3070 -112010 (base 3) to base 11 -317 What is 111112 (base 6) in base 16? 2474 Convert -10001001110 (base 2) to base 14. -58a What is -9d9b (base 14) in base 8? -65365 What is 37b9 (base 14) in base 5? 303032 What is -323104 (base 7) in base 15? -11a3a What is -2406 (base 14) in base 11? -4798 Convert -e1b3 (base 15) to base 10. -47643 What is -2213300 (base 5) in base 9? -57821 586 (base 10) to base 5 4321 What is 23427 (base 8) in base 6? 114155 Convert -1d55 (base 15) to base 8. -14354 Convert 22c0 (base 13) to base 4. 1030120 300 (base 5) to base 11 69 Convert -54172 (base 8) to base 7. -123015 Convert 1001110001 (base 2) to base 13. 391 142634 (base 7) to base 8 65430 8e09 (base 15) to base 6 351343 What is -11f0 (base 16) in base 2? -1000111110000 Convert -1a580 (base 11) to base 13. -10065 What is -12872 (base 9) in base 5? -234412 What is -14126 (base 11) in base 9? -30528 What is -424 (base 10) in base 8? -650 Convert -20022 (base 8) to base 7. -32636 Convert -24041 (base 6) to base 2. -110110011001 What is -200112002 (base 3) in base 10? -13502 -1710 (base 8) to base 3 -1022212 What is 2b11 (base 15) in base 14? 3521 2237 (base 9) to base 3 2021021 What is -1751 (base 9) in base 13? -7c3 Convert 255410 (base 6) to base 8. 55336 -943 (base 10) to base 14 -4b5 What is 3333 (base 7) in base 5? 14300 What is -405 (base 15) in base 16? -389 Convert -156334 (base 7) to base 5. -1443132 Convert -6104 (base 8) to base 3. -11022022 What is 18777 (base 10) in base 15? 586c What is 4 (base 16) in base 15? 4 1010001011000 (base 2) to base 15 1823 What is -57696 (base 10) in base 13? -20352 -5117 (base 10) to base 14 -1c17 Convert -652 (base 9) to base 13. -320 What is -20098 (base 10) in base 16? -4e82 -1893 (base 11) to base 15 -aa1 What is 131221 (base 6) in base 16? 2ebd What is 17700 (base 9) in base 2? 10111111000111 6bcc (base 14) to base 3 221210022 -b (base 13) to base 2 -1011 -13882 (base 9) to base 8 -22376 Convert -315455 (base 7) to base 9. -83118 What is -3a47 (base 11) in base 14? -1cb4 -2bd (base 14) to base 8 -1057 3362 (base 16) to base 3 200001012 Convert 2 (base 9) to base 12. 2 Convert -1271 (base 16) to base 13. -21c2 What is a080 (base 14) in base 8? 65640 What is 426 (base 12) in base
{ "pile_set_name": "DM Mathematics" }
3))*(-2*d**2 - 3*d**2 + 4*d**2). -97*d**3 Expand (-3 - 1 + 2)*(-2*r**5 + 0 + 0) + (2*r**3 - r**3 + r**3 + 4*r**3 - 3*r**3 - 2*r**3 + (-2*r - 2*r + 3*r)*(-1 + 2*r**2 + 1))*(38*r**2 + 49*r**2 - 8*r**2). -75*r**5 Expand (302 - 158 - 148)*(3*s + 6*s - 14*s). 20*s Expand (2 - 2 - 2*c**2)*(-42*c - 26*c + 466 + 69*c). -2*c**3 - 932*c**2 Expand (143*a + 101 - 101)*(-5*a + 7 - 7 + (1 - 2 + 0)*(5*a - a - 3*a)). -858*a**2 Expand 37*h + 2 - 2 + (-3*h - 4*h + 6*h)*(0 - 4 + 3) + 2*h - 3 + 3. 40*h Expand (2*p + 4 - 4)*(1 - 2 + 2) + (0 - 3 + 1)*(p + 1 - 1 + (4*p + p - 2*p)*(0 + 0 + 2)). -12*p Expand (2*f + f**2 + 1 - 1)*(-4560*f + 4560*f + 21*f**2). 21*f**4 + 42*f**3 Expand (l**4 - 3*l**4 + 0*l**4)*(5 - 2 - 2) + 0*l**4 - l**4 - 3*l**4 - 2*l**4 + l**4 + 0*l**4 - l**4 + l - l + (0*l**2 + 2*l**2 - 4*l**2)*(0 + 0 - 2*l**2). -4*l**4 Expand (-1683 - 2284 + 333 - 395)*(-1 + 1 + 2*a**2). -8058*a**2 Expand (2*w**3 - 6*w**3 + 10*w**3)*(2 - 2 + 2*w**2) + (0*w + 0*w + 2*w**2)*(-2*w**2 - w**3 + 2*w**2). 10*w**5 Expand (9 + 4*g - 2*g - 4*g)*(-59 + 2*g + 59 - 3*g**2). 6*g**3 - 31*g**2 + 18*g Expand (1 - 5 + 5)*(-280*f + 0 + 0 - 122*f + 62*f). -340*f Expand (1 - 1 + w**2)*((-3 + 4 + 3)*(4 - 2 - 4) - 4 + 3 - 1 + (-3 + 1 + 0)*(1 + 1 - 3)). -8*w**2 Expand (0*u - 2*u + 3*u)*(6 + 11 - 29)*(1 - 1 - 1). 12*u Expand (t - 6*t + 1 + 4*t)*(-t**3 + 2*t**3 - 6*t**3)*(-3*t + 7*t + 0*t). 20*t**5 - 20*t**4 Expand (-n**2 + n**2 + n**2)*(-n**2 - n**2 + 0*n**2) + 6*n**2 - 9*n**4 - 6*n**2 + (4*n**2 - 3*n**2 + 0*n**2)*(n**2 + n**2 - n**2) - 14 + 2*n + 14 + 2*n**4. -8*n**4 + 2*n Expand (8*a + 2*a - 18*a + (-5*a + 2*a + 4*a)*(1 - 6 + 0) - 5*a + 5*a + 2*a)*(a - 4*a + a). 22*a**2 Expand -81*i + 388 - 388 + 4*i - 2*i - i + (1 - 4 + 4)*(0*i + i + 0*i) + i - 6*i + 3*i - 2*i - 1 + 1. -83*i Expand -5*l**3 + 4*l**3 + 3*l**3 + (44*l - 20*l + 25*l + (-4 - 2 + 4)*(2*l - 4*l + 0*l))*(-3 + 3 + 2*l**2). 108*l**3 Expand -o + 0*o - 3*o - o - 3*o + 3*o - 13*o + 3*o - 4*o + (-o - 2*o + o)*(2 + 2 - 2). -23*o Expand -3*p + 2*p - p + (-1 - 3 + 2)*(-p + 2*p - 4*p) - 1 + p + 1. 5*p Expand (-1 - 14*a - 296*a - 319*a)*(-2 - a + 2). 629*a**2 + a Expand (64*c + 353 - 710 + 357)*(4*c**2 - 4*c**2 + c**2). 64*c**3 Expand 1351*h**5 + 0*h**4 - 3*h**4 - 1408*h**5 + (2*h - 3*h - h)*(2*h**4 + 3 - 3). -61*h**5 - 3*h**4 Expand (0*c**3 + 4*c**3 - 2*c**3)*(2*c**2 + 3*c**2 - 3*c**2) + 3*c**5 - 3*c**5 + 2*c**5 + c**5 + c**3 - c**3. 7*c**5 Expand (9*j**3 - 13*j**3 + 8*j**3)*(0 + 0 + j)*(-13 + 3 + 1). -36*j**4 Expand (3 + 1 - 3)*(s**5 - s**5 + 2*s**5) + 308*s**5 + 0*s**4 + 13*s**4 - 309*s**5. s**5 + 13*s**4 Expand (-2 - 3 + 4)*(-22*c - 19*c**4 + 22*c) + 0*c**2 + 0*c**2 - c**4 + (-4*c - 5*c**2 + 4*c)*(-2 + 2 - 2*c**2). 28*c**4 Expand (-q + q - 2*q)*(1 + 0 + 47823*q**3 - 47801*q**3 + q**2). -44*q**4 - 2*q**3 - 2*q Expand (0*j + j - 2*j)*(-2*j + 0*j + j) + 4*j**2 + 0*j**2 - 3*j**2 + (-10*j - 11*j + 4*j)*(-j + j + 6*j). -100*j**2 Expand (-s**2 + s**2 - 2*s**3)*(-2*s + 5*s - 2*s) - 3367*s**4 - 10*s**2 + 66*s**2 + 3370*s**4. s**4 + 56*s**2 Expand (4*f**2 - 2*f**2 - 5*f**2)*(6 + 0 + 182*f - 181*f). -3*f**3 - 18*f**2 Expand -4*k**4 - 5*k**4 + 4*k**4 + (1 - 1 + 2*k)*(6*k**2 - 6*k**2 + 6*k**3) - 9 + 9 - k**4. 6*k**4 Expand -7*o**5 + 103*o**5 - 56*o**5 + (o**2 + 3*o**2 - 2*o**2)*(-3*o**3 - 2*o**3 + o**3) + (-5*o**4 + 3*o**4 + 4*o**4)*(1 - 1 + o). 34*o**5 Expand (-3 - 2 + 3)*(4 - 3 - 8)*(5*s - s + 0*s). 56*s Expand (0*y + 0*y - 2*y)*(-22*y**2 - 18*y**2 - 3*y**2)*(-y**2 + 3*y**2 + y**2) - y**4 + y**4 - y**5. 257*y**5 Expand (-167*g + 167*g - 41*g**2)*(4*g + 0*g - 5*g + (-3 + 4 + 0)*(g + 0*g - 3*g) + 4*g - g - 5*g + g + 0 + 0 + 0*g - 4*g + 2*g) + 0 - 2 + 0 + g**3. 247*g**3 - 2 Expand (5*k + 1 - 1)*(8*k**2 - 12*k**2 + 7*k**2)*((0 + 2 - 1)*(0 + 2*k + 0) + 0 + k + 0). 45*k**4 Expand (-87*g - 61*g**2 + 87*g)*((3 - 3 + 4)*(-5 + 5 + 1) + (-1 - 1 + 3)*(-2 + 4 - 4) + 1 + 2 - 2). -183*g**2 Expand (-2*z**2 + 0*z**2 + z**2 + (2 - 2 - 2*z)*(0*z + 0*z + z) + 3*z**2 - 4*z**2 + 0*z**2)*(-78*z + 91*z + 107*z). -480*z**3 Expand 5 - 3*z**4 - 5 - 2*z**2 + 2*z**2 + z**4 + (z - z + 2*z**3)*(2*z + 3*z - 3*z) + 0*z**4 - 8*z**4 + 17*z**4. 11*z**4 Expand (-1 - 1 + 1)*((-h + 2*h - 2*h)*(-2 + 1 + 0) + 6 - 7*h - 6 - 18*h - 25*h + 32*h + 2). 17*h - 2 Expand 4*r**2 - 4*r**2 + r**2 + (6 + 6 - 10)*(3*r - 4*r**2 - 3*r) + 2*r**2 - 2*r**2 - 5*r**2. -12*r**2 Expand 6*r**4 + 2*r**4 - 3*r**4 + 0*r**4 + 2*r**4 - 3*r**4 + 9 - 5*r**3 - 9 + 2*r**4 + (-4*r**3 - 2*r**3 - 4*r**3)*(-2*r - 3*r + 7*r). -14*r**4 - 5*r**3 Expand (2*j**3 - 3*j**3 + 0*j**3)*(-3*j**2 + 5*j**2 - 4*j**2) + 3810*j**5 - 6612*j**5 + 3756*j**5. 956*j**5 Expand (202*q + 1 + 93*q + 48*q)*(q + 0*q - 3*q). -686*q**2 - 2*q Expand 0*t - t + 2*t + 12 - 3*t - 12 + (2 + 0 + 2)*(3*t - 2*t - 2*t). -6*t Expand (3 - 3 - 2*n)*(-2*n + 2*n + n**4) - 12*n**5 + n**5 - 183 + 12*n**5. -n**5 - 183 Expand -t**4 + 0*t**4 + 3*t**4 + (0*t**2 - t**2 + 3*t**2)*(-2*t**2 + 2*t**2 + t**2) + (0*t + 0*t - t)*(-19*t**3 + 9*t**3 + 3*t**3). 11*t**4 Expand -2*h**4 - h**4 + 5*h**4 + (h + h - h)*(-3*h**3 + 0*h**3 + 4*h**3) + (2*h**3 + 0*h**3 - h**3)*(4*h + 2*h - 3*h). 6*h**4 Expand (110*z + 115*z - 68*z**2 - 225*z)*(6*z + 5*z - 19*z). 544*z**3 Expand 4*y**4 - 2*y**2 - 3*y**4 + 0*y**4 + (289*y - 289*y - 144*y**3)*(-4*y - 3*y + 5*y). 289*y**4 - 2*y**2 Expand (-2*b**2 + 0*b**2 + b**2)*(-1 - b + 1) - 93*b**3 - 23*b**2 + 21*b**2 + 58*b**3. -34*b**3 - 2*b**2 Expand -2*h + 2*h**4 + 2*h + (-4*h**4 - 2*h**4 + 4*h**4)*(-2 + 1 + 2) + h**2 - h**2 + h**4 + h - h + h**4 + h**2 - h**2 + 2*h**4 + 36*h**4 - 98*h**4 + 41*h**4. -17*h**4 Expand -d + d - 2*d + (5 - 1 - 2)*(-d + 2*d - 3*d) + 0*d - d + 3*d + 38*d - 19*d - 14*d. d Expand -3*a**3 - 397 + 11*a**3 + 393 + (3*a - 3*a - 2*a)*(1 - 1 + 2*a)*(-1 + 4 - 1)*(-a + 6*a - 3*a). -8*a**3 - 4 Expand (4 + u**2 - 4)*(-233 + 233 + 65*u) + (5*u**2 - 3*u**2 + 2*u**2)*(0*u + u + u). 73*u**3 Expand ((10*b - 4*b + b)*(3 - 2 - 2) - 2*b + 5*b - 2*b)*(b**3 - b**3 - b**3). 6*b**4 Expand (-5*v**4 - 17*v + 17*v + (2*v - 2 + 2)*(-2*v**3 + v**3 + 2*v**3) - 3*v**4 + 7*v**4 - 3*v**4 + v**4 - 4*v**4 - 2*v**4)*(0 - 4 + 1). 21*v**4 Expand (16*f**3 + 178*f - 178*f)*((0*f + 2*f - 4*f)*(3*f + 0*f + 0*f) + 3*f**2 - 2*f**2 + f**2). -64*f**5 Expand -2*o**5 + 0*o + 0*o + (2*o + o**4 - 2*o)*(3*o - 7 + 7) + ((1 - 2 - 1)*(-3 + 3 + 2*o) - 2*o + 0 + 0)*(o**4 - 1 + 1). -5*o**5 Expand (-4 + 4 - 2)*(-j**2 - j**2 + 4*j**2) - 1 - 4*j + 11*j + 253*j**2 - 248*j**2. j**2 + 7*j - 1 Expand (-a - a + 3*a)*(-2*a**2 + 0*a**2 + 3*a**2) + 58*a**3 + 216*a**2 - 216*a**2. 59*a**3 Expand (3*n**4 - 4*n**4 + 3*n**4 + (0*n**2 + 0*n**2 - n**2)*(0 + 0 - 2*n**2))*(121*n + 187*n - 72*n). 944*n**5 Expand (-4 + 3 - 1)*(-36 + 67 + 96*x - 34). -192*x + 6 Expand 3*y - 4*y + 3*y**3 - y**3 + y**3 + 2 - 2 + (24 - 19 + 48)*(y**3 + 2*y**3 - 6*y**3). -156*y**3 - y Expand (0 + 8 - 2)*(7*p - 2*p - p)*(5 - 5 + 6). 144*p Expand 2*y**2 + 4 - 3 + 2 + (3*y - y - y)*(46 - 46 + 14*y) + 4*y**2 - y + y. 20*y**2 + 3 Expand 0*m + 2*m**2 + 0*m + (m + m - m)*(0*m - 2*m + 3*m) + 40*m**2 - 67*m**2 + 34*m**2 + (-3*m + m + 3*m)*(-7 + 7 - 4*m). 6*m**2 Expand 0*v**2 + 3*v**2 - 6*v**2 - v**2 - 2*v**2 + 2*v**2 + (-5*v + v + 2*v)*(v + v - v) - 3*v**2 + v**2 + 3*v**2 - 151*v**2 - 39*v**2 - 57*v**2. -252*v**2 Expand (-6*x + 2*x + 9*x)*(-8*x + x + 9*x) - 3*x**2 + 4*x**2 - 3*x**2. 8*x**2 Expand (2 + 3 - 2)*(-3 - 5 - 4)*(-2*k - k - 2*k). 180*k Expand (4 + 12*y - 4)*(2*y**2 + y**3 - 2*y**2)*(-27 + 21 + 15 + 73). 984*y**4 Expand (-4*f**2 + 1 - 8 + 2)*(-6 + 1 + 4)*(2 - 3 - 6 + 0 - 4 + 2 + (1 + 1 - 1)*(0 - 2 + 3)). -32*f**2 - 40 Expand -1 - 15*w**2 + 13*w**2 + 7*w**2 + (-2 - 2*w**2 + 2)*(3 - 2 + 2) + (0*w + 5*w - 2*w)*(2*w + 3*w - 4*w) + 0 + w**2 + 0. 3*w**2 - 1 Expand -6*l**2 + 8*l**2 + 13*l**2 + (6*l - 3*l - 4*l)*(4*l - 5*l + 6*l) + l**2 + 2*l - 2*l + 0*l**2 + l**2 + 2*l**2. 14*l**2 Expand (198*l - 193*l - 4 + 2)*(-l**2 - 3*l**2 + 2*l**2 + (l + 0*l + 0*l)*(-7 + 4*l + 7)). 10*l**3 - 4*l**2 Expand 7 - 7 - 11*x**4 + (x**3 - 3*x**3 + 3*x**3)*(1 - 1 - 2*x). -13*x**4 Expand (5*c**3 - 2*c**3 - c**3)*(37 - 201 - 3)*(-2 - 4 + 5)*(-2*c - 2*c + 5*c). 334*c**4 Expand (y + 0*y - 1 - 1)*(-22*y - 11*y - 23*y). -56*y**2 + 112*y Expand ((1 - 2 + 3)*(7 - 7 - 6*q) + (-2*q + 0*q + 4*q)*(2 - 2 - 5))*(q + 3 - 3). -22*q**2 Expand (-4 + 4 + 4)*(-3*s + 1 -
{ "pile_set_name": "DM Mathematics" }
+ 3*q - 20. Is -16 <= a? True Let u(s) = -117*s + 698. Let x be u(6). Which is greater: 94 or x? 94 Suppose 0 = 15*y - 13*y. Let p be -1 - (-2 - (0 - 3)). Let s be p + 3 - 2/(-10). Which is smaller: y or s? y Let x = 22.4 + -15.4. Which is greater: 10 or x? 10 Let h be 37738/(-7) - 1*-2. Let c = h - -5370. Let r = 1488/77 + c. Which is smaller: r or 1? r Let a = 577 + -656. Is -233/3 at least a? True Let n(w) = w**2 + 8*w - 2. Let d be n(-8). Is -1.1 bigger than d? True Let l be (-6 + 4 - 32)/2. Let h = l + 40. Let n = h - 21. Which is smaller: 8/3 or n? n Let p be 340/16 + (-133)/(-76). Is p < 14? False Suppose 72 = -0*i + 9*i. Suppose -12*w = -i*w. Is 0 > w? False Let h = -254.6 - -251.5. Is -1/11 less than h? False Let q = 0.9 - -0.1. Let j(h) = -2*h**2 + 39*h - 15. Let r be j(19). Is q at least r? False Let h(m) = m**2 + 10*m - 7. Let g be h(8). Do g and 134 have the same value? False Suppose 56*d - 22 = 78*d. Which is greater: d or -39/2? d Suppose -2*p - 8 = 5*r, 4*p = 3*p - 2*r - 3. Suppose 0 = -10*u + 11*u + p. Let y = -11 - -11.7. Do u and y have the same value? False Let m be 5*(-12)/(-280)*544/72. Is 3 less than or equal to m? False Let q = -87.4 + 88. Is -10/7 equal to q? False Let i(o) = o**3 + 27*o**2 + 24*o - 55. Let z be i(-26). Do z and 7 have the same value? False Suppose -4*m + 32 = -8. Let i be (-4)/m - 4/(-10). Let d = 317/2 - 159. Does i = d? False Suppose -196*v - 19*v - 6410 - 470 = 0. Let j = -0.1 - -1.1. Is v greater than j? False Suppose -i - 684 = -7*i. Let u be (0 + -3)*(6 + -3). Let h be 12/(-9)*u/i. Is h < 1? True Let p(t) = -t**3 - 4*t**2 - t - 2. Let d be p(-4). Suppose -2*f + 3*f + d = 0. Let r = 0 - f. Which is smaller: r or -7/2? -7/2 Suppose o = -6*o + 70. Is o greater than or equal to 20? False Let q = 34 + -15. Let b = q - 17. Let v be (12/52)/(3/2). Which is bigger: b or v? b Let k be 1 + (-572)/(-517) + (-2)/1. Is -1 equal to k? False Suppose 20 = 5*o - 5*u, o + 522*u - 519*u = -8. Let s = 54800/53 - 1034. Which is smaller: s or o? s Let v = 27 - 22. Suppose 5 = v*h - 10*h. Which is smaller: h or -1/9? h Let j be 478 + 8 - -1*2. Let d be j/32 - (-1)/(-4). Let l be (-5)/d + (-28)/(-3). Which is greater: 23/3 or l? l Suppose -4*z + 16 = 0, -3*s + 22*z = 20*z + 317. Is s <= -98? True Let h be 83/(-5) + (-4)/10. Let m be (-32)/h - (-3 - -5). Suppose 0 = -5*x + 2*u - 5*u - 10, -20 = 4*u. Which is smaller: m or x? m Suppose 5*p - 6 = -4*n, n = -2*n + 3*p + 18. Let z be 2*(0 - 2/n). Let d be (((-70)/425)/(-7) - 0)*5. Are z and d nonequal? True Let f = -985 + 815. Is f at least as big as -170? True Let g(x) = x**2 - 3*x + 7. Let l be g(3). Suppose -60 = -2*v + l*v. Is -12 at most as big as v? True Let f = 111441/14 + -7954. Which is smaller: f or 5? 5 Suppose -2*o + s + 28 = -3*s, -4*s = 5*o. Suppose o*j = -19 - 53. Let n be j/63 - 33/7. Which is smaller: n or -4? n Suppose -2*g - r = 4*r + 5, -4*g - 4*r = -8. Suppose -g*x + x - 3*i = -17, -x - 1 = -i. Let a be x/5 + -3 + 3. Which is smaller: a or 3/10? 3/10 Let d(l) = -l**2 - 8*l - 5. Let a be d(-6). Suppose -5*i + 30 = 4*t, 4*i - 58 = -t - 67. Which is bigger: t or a? t Suppose 3*f + 230 = -2*f. Let l = -66 - f. Which is bigger: -37/2 or l? -37/2 Let p = -29.6 + 3.4. Let o = -26 - p. Is -2 less than o? True Suppose 2*q + 62 = z + 3*z, 50 = 3*z + 2*q. Suppose -4*c - z = 0, -2*c + 4 = 3*k - 48. Are 21 and k equal? False Let t = 832 - 804. Let r = -34 + 8. Let l = r + t. Which is bigger: l or -0.3? l Let j = 684 + -697. Suppose 41 = -6*w + 2*w + 5*r, 4*w + 5*r = -71. Do w and j have the same value? False Let v = 279.9202 + 0.0798. Which is bigger: v or 0? v Suppose 32*o - 14 = 18. Is -11/52 < o? True Let a be (-4)/10 - (-54)/(-15). Let m be (a/12)/((-4)/(-12)). Suppose 3*w + 2 = 2*w. Is m smaller than w? False Let n = -0.749 - -0.7358. Is n bigger than 1? False Let f(c) = 34*c + 161. Let o be f(-7). Is -82 at most as big as o? True Let s be 3/(-56)*4*(-20)/6. Is 0.06 > s? False Suppose -5*z = 6 - 1. Let q = 1115 - 44597/40. Let b = q + -79/520. Which is smaller: b or z? z Suppose 24*k - 1086 - 1338 = 0. Do 103 and k have the same value? False Let w be 1 - (1 + -2 + (-246)/(-138)). Which is greater: w or 0? w Let h be (8/6)/((64/30)/8). Suppose 3*n - 5*x = 1 - 6, 4*n = h*x - 15. Which is smaller: -11 or n? -11 Let r = 1393 + -1393.5. Do r and -0.016 have the same value? False Let z(n) be the third derivative of -n**6/120 + n**5/12 + n**4/4 + n**3/2 + 8*n**2. Suppose -2*u + 0 = -12. Let m be z(u). Do 3 and m have different values? False Let v = 47/95 + 2/19. Let c = 6.09 - 0.09. Let x = 7 - c. Is v >= x? False Suppose 5*j - 36 = -4*q, -3*q + j + 4 = -q. Suppose q*y + 26 = 2*g, -g + 12 = -0*y - 3*y. Which is smaller: 31/2 or g? g Suppose -4*c + 294 = -7*c. Are -98 and c non-equal? False Let g = -124 - -129. Suppose -24 - 6 = 2*i + g*p, 3*i + 2*p = -23. Is -21/5 greater than or equal to i? True Let w be (-18)/(-2) + (-1908)/106. Let n(t) = -t**2 - 5*t - 1. Let v be n(-6). Is v less than w? False Suppose 39 = -4*z + 15. Suppose 3*x - 2 = 4*r + 6, 8 = -4*r - 4*x. Let f be (-39)/65*r/(-3). Which is smaller: f or z? z Let r be (102/(-9))/(-2 + 20/9). Let m be (r/3)/(1 - (-4)/(-3)). Which is smaller: m or 52? m Suppose -4*v + 4*s - 11 + 59 = 0, v = -2*s + 12. Let l(g) = 2*g**2 - 2*g**2 - g**2 + 15*g - 10 - 8. Let d be l(v). Is d >= 18? True Let i be ((-3829)/(-126))/(3/(-9)). Let z = -271/3 - i. Which is smaller: 2 or z? z Suppose -3*q = 9, q = -c - 0*q - 9. Let i be -1 + -1 + (0 - c). Let a be i + 27/(-7) + 3. Which is bigger: 4 or a? 4 Let s = -51944 + 570448/11. Let d = 85 + s. Let a = 4 - 3. Is d smaller than a? True Let d(s) = -s**3 - 8*s**2 + 8*s. Let a be d(-9). Suppose -6*g - a = -3*g. Is g greater than -1? False Suppose -2034 = -20*w + 4106. Which is smaller: w or 1227/4? 1227/4 Suppose -31*v = -t - 25*v + 25, 3*v = 4*t + 5. Let u = 453373/93165 - -2/6211. Let n = -26/5 + u. Is n greater than t? True Let j = -1671 - -1742. Which is greater: 73 or j? 73 Let l = 8 + -13. Let r be (-4)/l - (-2760)/(-700). Is r > -3? False Let a = 9 + -13. Let c be (-274)/18 + a/(-18). Which is smaller: -16 or c? -16 Let w = -620 - -615. Are w and -4 unequal? True Let b be (8/((-8160)/115))/((-2)/8). Which is smaller: b or 1? b Let z be (2323/30)/((168/243)/(-7)). Let f = z + 784. Which is bigger: f or -1? f Let w be (-14)/(-21) + 11/(-12). Let k = 238 - 254. Which is greater: k or w? w Let m = 5949 - 35867/6. Let v = m + 29. Does v = -0.05? False Let l be (48/(-2))/(6/(-33)). Is 130 less than l? True Let h = -17 + 17.08. Let b = h - 0.18. Let q = 0.03 - -0.05. Are b and q non-equal? True Let y = 417 + -159. Which is smaller: 259 or y? y Let d = 7457/5880 - 51/40. Let b = 15 - 15. Which is smaller: b or d? d Let a be (50 - (-3 + 6))*4/(-132). Let z = 12/11 + a. Is -5.7 >= z? False Let b = -2.083 + 3.164. Let j = b - 0.081. Which is greater: j or 42? 42 Suppose c + 2*c = u + 32, -4*u + 4*c = 152. Let k be -187 + 139 - (33/(-3) + 2). Is k less than u? False Let m be (-1778)/24 - (1 + (-20)/16). Let b = -74 - m. Is b equal to -10? False Let s be 8/(-7)*(-52)/16. Let l be ((-2)/(-3))/((-28)/(-126)). Which is greater: s or l? s Let s be (12/(-1503))/(76/(-342)). Which is greater: 1 or s? 1 Let a be (-3)/(-5) - (-322)/(-70). Let r(o) = 5*o + 1. Let t(f) = 5*f + 1. Let y(c) = 5*r(c) - 4*t(c). Let w be y(-1). Is a < w? False Suppose -13*o + 858 = 2574. Is -130 less than or equal to o? False Let x = -389 - -390. Which is greater: 3/7 or x? x Let m = -398 - -471. Which is bigger: m or 77? 77 Suppose 2*n = -3*x, 0*n + n + 2*x = 0. Let y = n + 3. Let d(l) = -l**3 + 4*l**2 - 4*l - 1. Let f be d(y). Which is smaller: f or -6? -6 Let w = 0.023 - 0.073. Let h = -1.05 - w. Is 2/49 <= h? False Let q be (-2)/(-3)*54/18. Let y be (q + -7 - -4)/(-1). Is y greater than 2? False Suppose 0 = 4*b + 5 - 25, 0 = 2*z - b + 97. Let u be 2336/18 + z/(-207). Let w be (-20)/u*(-6)/4. Which is greater: 0 or w? w Let x(n) = -14*n + 9*n**2 - 2*n**2 + 3 - 5*n**2 + 4. Let c be x(8). Is 21 at least as big as c? False Suppose 765 = 4*n - 3*k, 2*n + 3*k = -k + 388. Suppose -2*q = 139 + 69. Let t be -3 + 1 - n/q. Which is greater: t or -1? t Let d be 1 + 10/78 + 2. Let s = -7/13 - d. Suppose 10 = 5*t, 0 = 3*v + t + 1
{ "pile_set_name": "DM Mathematics" }
0 for o. -22, 0 Find f such that 3*f**2/4 + 477*f/2 + 75843/4 = 0. -159 Determine g, given that 5*g**2 - 15*g - 440 = 0. -8, 11 Factor s**3 + 4*s**2 - 41*s + 36. (s - 4)*(s - 1)*(s + 9) Suppose 9*l**5 + 30*l**4 + 27*l**3 + 6*l**2 = 0. What is l? -2, -1, -1/3, 0 Factor -2*w**2/3 - 712*w/3. -2*w*(w + 356)/3 Factor 5*s**2 + 80*s + 140. 5*(s + 2)*(s + 14) Suppose -d**2 + 23*d - 22 = 0. Calculate d. 1, 22 Suppose -2*x**2/11 - 164*x/11 - 70 = 0. What is x? -77, -5 Determine h so that 2*h**2 - 32*h - 160 = 0. -4, 20 Determine y, given that y**5/11 - 24*y**4/11 + 2*y**3 + 24*y**2/11 - 23*y/11 = 0. -1, 0, 1, 23 Factor 2*u**4/13 + 2*u**3 + 112*u**2/13 + 160*u/13. 2*u*(u + 4)**2*(u + 5)/13 Determine n, given that -3*n**3 + 3*n**2 + 6*n = 0. -1, 0, 2 Solve -20*q**2/7 - 748*q/7 - 296/7 = 0. -37, -2/5 Determine o, given that 2*o**5/5 - 2*o**4 - 6*o**3/5 + 26*o**2/5 + 4*o = 0. -1, 0, 2, 5 Find g such that -2*g**2 - 452*g - 25538 = 0. -113 Determine u so that u**2/3 + 39*u + 230/3 = 0. -115, -2 Factor -3*o**4 - 24*o**3 + 57*o**2 - 30*o. -3*o*(o - 1)**2*(o + 10) Factor -4*h**4 + 36*h**3 + 40*h**2. -4*h**2*(h - 10)*(h + 1) Factor 25*u**2 + 1070*u - 2240. 5*(u - 2)*(5*u + 224) Suppose -2*x**2 + 242*x - 476 = 0. What is x? 2, 119 Factor -z**2/6 + 191*z/3 - 127/2. -(z - 381)*(z - 1)/6 Factor 2*d**2 - 62*d. 2*d*(d - 31) Factor -4*s**5 + 224*s**4 - 220*s**3. -4*s**3*(s - 55)*(s - 1) Factor u**3 + 63*u**2 - 268*u. u*(u - 4)*(u + 67) Determine o, given that -4394*o**5 - 49686*o**4 - 195520*o**3 - 262400*o**2 + 1536000*o/13 + 5120000/13 = 0. -40/13, 1 Solve -21*v**4 - 255*v**3/4 - 69*v**2 - 123*v/4 - 9/2 = 0. -1, -3/4, -2/7 Factor c**4/4 - 9*c**3 + 61*c**2 + 360*c + 400. (c - 20)**2*(c + 2)**2/4 Suppose 39366*b**5 + 227448*b**4 + 484704*b**3 + 453152*b**2 + 157216*b = 0. Calculate b. -2, -34/27, 0 Suppose 5*f**3 - 130*f**2 + 755*f - 630 = 0. Calculate f. 1, 7, 18 Factor -2*y**3/19 - 2*y**2 - 238*y/19 - 490/19. -2*(y + 5)*(y + 7)**2/19 Let -w**4/2 - 7*w**3/2 + 30*w**2 = 0. What is w? -12, 0, 5 Solve q**3/4 - 2565*q**2/4 + 1643523*q/4 + 1646089/4 = 0 for q. -1, 1283 Find k such that -2*k**2/7 - 254*k/7 - 36 = 0. -126, -1 Factor -i**4/2 + 51*i**3/2 - 673*i**2/2 + 525*i/2 + 625. -(i - 25)**2*(i - 2)*(i + 1)/2 Determine f so that 2*f**5 + 5*f**4 - f**3 - 7*f**2 - f + 2 = 0. -2, -1, 1/2, 1 Find m such that -50*m**5 - 460*m**4 - 1104*m**3 - 4576*m**2/5 - 1568*m/5 - 192/5 = 0. -6, -2, -2/5 Find p such that 3*p**2 - 618*p - 621 = 0. -1, 207 Factor 3*z**2/4 - 231*z/2 + 228. 3*(z - 152)*(z - 2)/4 Let 2*k**5 - 16*k**3 + 12*k**2 + 14*k - 12 = 0. What is k? -3, -1, 1, 2 Factor -2*b**3 + 224*b**2 - 442*b + 220. -2*(b - 110)*(b - 1)**2 Suppose w**2/3 + 4*w + 20/3 = 0. Calculate w. -10, -2 Determine t, given that -3*t**3/2 + 979*t**2/2 - 80033*t/2 + 26569/2 = 0. 1/3, 163 Determine z so that -4*z**5 + 340*z**4/3 + 592*z**3/3 + 80*z**2 = 0. -1, -2/3, 0, 30 Factor -b**5 + 2*b**4 + 3*b**3. -b**3*(b - 3)*(b + 1) Determine h so that -h**4/5 + 2*h**3/5 + h**2 - 6*h/5 = 0. -2, 0, 1, 3 Solve c**3/4 + 5*c**2/2 + 6*c = 0. -6, -4, 0 Solve -4*p**2/5 - 28*p/5 - 8 = 0. -5, -2 Factor -d**2/4 + 12*d + 52. -(d - 52)*(d + 4)/4 Solve -h**4 + 34*h**3 - 260*h**2 + 14*h + 3381 = 0 for h. -3, 7, 23 Factor -4*v**3 - 48*v**2 - 36*v + 88. -4*(v - 1)*(v + 2)*(v + 11) Let -3*p**3 + 111*p**2 + 234*p = 0. What is p? -2, 0, 39 Factor -4*k**4/7 - 128*k**3/7 - 1320*k**2/7 - 3872*k/7 + 5324/7. -4*(k - 1)*(k + 11)**3/7 Find x such that 4*x**2/7 - 80*x = 0. 0, 140 Determine r so that 4*r**4 + 16*r**3 + 16*r**2 = 0. -2, 0 What is t in t**3 - 166*t**2 + 5580*t + 113400 = 0? -14, 90 Factor 6*h**2/11 - 168*h/11 + 102. 6*(h - 17)*(h - 11)/11 Factor t**4 - 27*t**3 - 58*t**2. t**2*(t - 29)*(t + 2) Factor 2*q**2/9 + 68*q + 5202. 2*(q + 153)**2/9 What is i in -i**2 - 39*i + 82 = 0? -41, 2 Factor -2*b**2/3 - 310*b/3 + 316. -2*(b - 3)*(b + 158)/3 Factor 3*r**3/2 - 1677*r**2 + 470394*r - 934092. 3*(r - 558)**2*(r - 2)/2 Let -j**5/7 - 8*j**4/7 - 22*j**3/7 - 24*j**2/7 - 9*j/7 = 0. Calculate j. -3, -1, 0 Solve -3*c**3 + 105*c**2/4 + 23547*c/4 + 1470 = 0 for c. -40, -1/4, 49 Factor 18*c**4 + 213*c**3 + 612*c**2 - 108*c. 3*c*(c + 6)**2*(6*c - 1) Solve -2*g**2/7 - 16*g/7 = 0. -8, 0 Factor -o**3/2 - 3*o**2/2. -o**2*(o + 3)/2 Determine s, given that -s**5 + 5*s**4 - 7*s**3 - s**2 + 8*s - 4 = 0. -1, 1, 2 Suppose -2*l**2/7 - 80*l/7 = 0. Calculate l. -40, 0 Factor 2*i**3/3 + 44*i**2 + 250*i/3 - 128. 2*(i - 1)*(i + 3)*(i + 64)/3 What is l in 15*l**5 + 215*l**4 + 805*l**3 + 245*l**2 = 0? -7, -1/3, 0 What is w in -w**5/6 - w**4/6 + w**3 + 2*w**2/3 - 4*w/3 = 0? -2, 0, 1, 2 Solve -2*k**3/5 - 2*k**2 + 8*k/5 + 8 = 0 for k. -5, -2, 2 Find p such that -54*p**3/5 - 264*p**2/5 - 608*p/15 - 128/15 = 0. -4, -4/9 Solve 54*y**5/5 + 648*y**4/5 + 1584*y**3/5 - 2036*y**2/5 + 146*y - 84/5 = 0 for y. -7, -6, 1/3 Let -5*w**3 + 175*w**2 + 180*w = 0. What is w? -1, 0, 36 Factor -2*x**3 - 242*x**2 + 1506*x - 2286. -2*(x - 3)**2*(x + 127) Factor -8*z**3/7 + 2*z**2 + 48*z/7 - 54/7. -2*(z - 3)*(z - 1)*(4*z + 9)/7 Determine z, given that -2*z**5/3 - 106*z**4 + 1634*z**3/3 - 334*z**2 - 984*z = 0. -164, -1, 0, 3 Solve k**4/9 - 5*k**3/9 - 781*k**2/9 - 775*k/9 = 0. -25, -1, 0, 31 Suppose z**2/6 + 73*z/6 - 37/3 = 0. Calculate z. -74, 1 Find g such that -3*g**4/5 - 108*g**3/5 - 483*g**2/5 - 558*g/5 = 0. -31, -3, -2, 0 Factor 3*d**3/8 + 57*d**2/8 - 447*d/2 + 216. 3*(d - 16)*(d - 1)*(d + 36)/8 Factor 5*f**4 - 130*f**3 - 5*f**2 + 130*f. 5*f*(f - 26)*(f - 1)*(f + 1) Determine t, given that t**2/4 + 163*t/2 + 162 = 0. -324, -2 Factor r**3 - 16*r**2 + 13*r + 30. (r - 15)*(r - 2)*(r + 1) Factor -b**2/8 + 6*b. -b*(b - 48)/8 Factor 2*j**3/7 - 28*j**2 + 5336*j/7 - 25392/7. 2*(j - 46)**2*(j - 6)/7 Find j, given that j**5/4 + 3*j**4 + 21*j**3/2 + 13*j**2 + 21*j/4 = 0. -7, -3, -1, 0 Find t such that 361*t**3/10 + 418*t**2/5 + 242*t/5 = 0. -22/19, 0 Factor -3*q**2 + 78*q - 432. -3*(q - 18)*(q - 8) Solve 3*g**5/5 - 51*g**4/5 + 9*g**3 + 51*g**2/5 - 48*g/5 = 0. -1, 0, 1, 16 Suppose -2*w**4 + 464*w**3 - 1380*w**2 + 1376*w - 458 = 0. Calculate w. 1, 229 Factor 2*k**2 + 15*k/4 + 7/4. (k + 1)*(8*k + 7)/4 Solve -20*y**3 + 216*y**2 + 284*y + 48 = 0 for y. -1, -1/5, 12 Factor 5*u**2 - 165*u. 5*u*(u - 33) Let 2*c**4 + 86*c**3 + 660*c**2 = 0. What is c? -33, -10, 0 Solve 4*n**2/7 - 3356*n/7 + 3352/7 = 0 for n. 1, 838 Factor -4*t**3/3 - 764*t**2 - 760*t + 4576/3. -4*(t - 1)*(t + 2)*(t + 572)/3 Factor l**4/4 - 289*l**3/4 - 1463*l**2/4 - 2055*l/4 - 441/2. (l - 294)*(l + 1)**2*(l + 3)/4 Factor -4*r**5 + 14*r**4 - 8*r**3 - 8*r**2. -2*r**2*(r - 2)**2*(2*r + 1) Factor -5*t**5 + 5*t**4 + 55*t**3 - 145*t**2 + 130*t - 40. -5*(t - 2)*(t - 1)**3*(t + 4) Solve 2*x**2/9 + 14*x/3 - 44/9 = 0. -22, 1 Factor 16*j**3/5 - 52*j**2 - 512*j/5 + 144/5. 4*(j - 18)*(j + 2)*(4*j - 1)/5 Factor 3*v**2 + 15*v - 312. 3*(v - 8)*(v + 13) Factor -4*a**4 + 4976*a**3 - 9940*a**2 + 4968*a. -4*a*(a - 1242)*(a - 1)**2 Solve 3*y**2 + 22704*y + 42955968 = 0 for y. -3784 Let 14*p**4/5 - 174*p**3/5 + 366*p**2/5 - 266*p/5 + 12 = 0. What is p? 3/7, 1, 10 Let 2*v**4/3 - 52*v**3/3 + 280*v**2/3 + 784*v/3 = 0. Calculate v. -2, 0, 14 Let 12*t**5 + 28*t**4 - 156*t**3 + 52*t**2 + 144*t - 80 = 0. Calculate t. -5, -1, 2/3, 1, 2 Let -4*n**2 + 132*n + 136 = 0. Calculate n. -1, 34 Find n, given that 2*n**5/9 - 26*n**4/9 + 38*n**3/9 + 74*n**2/9 - 80*n/9 - 88/9 = 0. -1, 2, 11 Find z, given that -2*z**2 - 5524*z - 5522 = 0. -2761, -1 Factor -2*s**5/15 + 6*s**4/5 + 92*s**3/15 + 148*s**2/15 + 34*s/5 + 26/15. -2*(s - 13)*(s + 1)**4/15 Factor -5*l**2 - 360*l - 1980. -5*(l + 6)*(l + 66) Let -2*x**5/9 + 38*x**4/9 - 94*x**3/9 - 38*x**2/9 + 32*x/3 = 0. Calculate x. -1, 0, 1, 3, 16 Find m, given that m**2 + 51*m = 0. -51, 0 Let 4*q**3 - 144*q**2 + 276*q - 136 = 0. Calculate q. 1, 34 Factor -i**2 + 160*i - 316. -(i - 158)*(i - 2) Factor 4*l**2/3 - 316*l/3. 4*l*(l - 79)/3 Factor b**2/4 - 27*b/4 + 18. (b - 24)*(b - 3)/4 Solve -3*o**3/5 - 3*o**2 + 39*o/5 - 21/5 = 0 for o. -7, 1 Determine r, given that 2*r**2/13 + 5160*r/13 + 3328200/13 = 0. -1290 Find j, given that j**4/10 + 114*j**3/5 + 6611*j**2/5 + 12882*j/5 + 12769/10 = 0. -113, -1 Let 5*t**4 - 60*t**3 + 215*t**2 - 120*t - 400 = 0. Calculate t. -1, 4, 5 Find h, given that 10*h**4/17 + 86*h**3/17 + 44*h**2/17 - 32*h/
{ "pile_set_name": "DM Mathematics" }
-d + 5*c + 28, -3*d + 9 = -5*d - 3*c. Let g(v) = v**2 - d*v + 2*v**3 - 11 - v**3 + 24 + 2*v. What is g(0)? 13 Let c = 114 - 114. Let v(k) = -2*k + c - k - 1 - k. Give v(2). -9 Let t(h) be the third derivative of h**5/60 - h**4/6 - 7*h**3/6 + 4*h**2 + 1. Let d be 9 + 8/(-2) + 1. What is t(d)? 5 Suppose y = g + 1, -5*y + 3*y = 0. Let k(s) be the second derivative of -11*s**4/12 + s. Give k(g). -11 Let w(o) = o**2 - 11*o - 7. Let k(r) = -5*r + 230. Let a be k(44). What is w(a)? -17 Let o(u) = -u**2 - u - 9. Let j = 524 - 524. Give o(j). -9 Suppose -2*l + g + g = 0, -3*l = 4*g - 14. Let d(h) = -5*h + 10. Let r(p) = -6*p + 13. Let w(o) = -4*d(o) + 3*r(o). Calculate w(l). 3 Let i(c) = -c**2 - c + 4. Let y(g) = 3*g**2 - 6*g + 10. Let k(s) = 2*i(s) - y(s). What is k(2)? -14 Let g(f) be the second derivative of 4/3*f**3 - f - 1/20*f**5 + 0 + 9/2*f**2 - 5/12*f**4. Calculate g(-6). -3 Let l(m) be the third derivative of m**5/60 + 13*m**4/24 - 3*m**3/2 + 107*m**2. What is l(-14)? 5 Let o(k) = 7*k**2 + 6 - k**2 + 3*k + 1 + k**3. Suppose -3*a = 2 - 2. Suppose -5*c - 33 = 3*d, a*d = 5*d - 4*c + 18. Calculate o(d). -11 Let s(d) = -5*d - 16. Let p(x) = 15*x + 47. Let i(l) = -6*p(l) - 17*s(l). Let m(t) = t. Let k(q) = i(q) + 6*m(q). Calculate k(5). -5 Let b be (-2)/11 + (-8)/(-44). Let w(j) be the second derivative of j**3/6 - 3*j**2 - 131*j + 1. Determine w(b). -6 Let u(q) = -2*q**3 + 13*q**2 - 28*q + 7. Let v(g) = g**3 - 9*g**2 + 20*g - 5. Let l(n) = -5*u(n) - 7*v(n). Calculate l(-2). -32 Suppose -27*s = -23*s - 8. Let w(p) = -s + 2 - 2*p - p**2 + 2 + 3. Give w(-4). -3 Let h(g) = g**3 - 6*g**2 + 7*g - 14. Suppose 10*c + 10 = 12*c. Determine h(c). -4 Let h be -16 - -24 - 1*4. Suppose h*d = 2*d + 10. Let a(f) = f**3 - 4*f**2 - 6*f - 3. Give a(d). -8 Let d(j) = j**3 - 16*j**2 - 13. Suppose -22*m + 96 = -16*m. Calculate d(m). -13 Let g(s) = s**3 + 2*s**2 + s + 2. Let v(b) = b**2 + 18*b + 11. Let d be v(-18). Suppose -2*j + 14 = 3*c + c, -4*c = -2*j + 22. Suppose l - j = -d. What is g(l)? 0 Let u(o) = -1059 + 486 + 482 + 0*o - 6*o. Give u(-15). -1 Let f(i) = 1 + 2*i + 3 + 636*i**2 + 0*i - 3 - 623*i**2. Determine f(-1). 12 Let k(t) = -t + 45. Let h be k(43). Let b(q) = 2*q - 2. Calculate b(h). 2 Let s = 156 + -149. Suppose -a - 6 = -3*a. Let u(l) = -a + l + 4*l - 6*l + 10. Give u(s). 0 Let n be -6 - (-26 - -15) - 0. Let k(s) = 4 - 2*s**2 - 2*s**3 + 3*s**3 + 4*s + s - 4*s**2. What is k(n)? 4 Let a(m) = 7*m**3 + m**2 - 9*m - 1. Let y(u) = -11*u**3 - u**2 + 13*u + 2. Let v(h) = 8*a(h) + 5*y(h). What is v(-5)? -13 Let n(s) = 3*s**2 - 2*s - 7. Let z(l) = -4*l**2 + l + 8. Let y(a) = 3*n(a) + 2*z(a). Let p(x) = -x - 1. Let u(r) = -2*p(r) + y(r). Give u(5). 12 Let h(f) = 5*f**2 - f**2 - 4*f**2 + 2*f**3 - 3*f**2 + 5*f**2 + 2. Calculate h(-2). -6 Let o(p) be the third derivative of -p**6/120 - 7*p**5/30 - p**4/2 + 7*p**3/2 + 70*p**2 - 2*p. Determine o(-13). 8 Let t = 677 + -671. Let w(f) = -f**3 + 8*f**2 - 8*f - 6. Determine w(t). 18 Let q(a) = -a**2 - 4*a - 1. Let n(b) = -b**2 + 16*b - 6. Let r be n(15). Suppose 6*j = r - 33. Give q(j). -1 Let v = -503 - -501. Let r(j) = 2*j - 1. What is r(v)? -5 Let p(m) = -5*m - 11. Let n be 1/2*60/(-6). Let b = n - -2. Let t(o) = 2*o + 4. Let f(i) = b*p(i) - 8*t(i). Calculate f(5). -4 Let o(n) be the second derivative of 0 + 5*n + 0*n**2 + 1/6*n**3. Give o(0). 0 Let s be ((-6)/5)/(2/10). Let a(u) be the first derivative of 5*u - 15 + 7/2*u**2 + 1/3*u**3. Determine a(s). -1 Let i be (-4)/6 - 78/(-9). Let u be ((-20)/i - -2)*4. Let q be -1 + u - 0/(-6). Let z(n) = n + 4. What is z(q)? 1 Let g be ((-43)/2)/((-3)/(-6)*-1). Let m(q) = -g*q**2 - 12*q + 42*q**2 + q - 12. Calculate m(-9). 6 Let s(i) = 4 - 6 - 1 + 3*i. Let y(h) = h - 1. Let u(q) = 2*s(q) - 7*y(q). Suppose 3*f = -16 + 4. Calculate u(f). 5 Let t(r) = -14*r + r**2 + 17*r - 4*r. What is t(4)? 12 Let f = -67 - -49. Let b be ((-6)/(-9))/((-3)/f). Let n(a) = a**3 - 6*a**2 + 6*a - 2. What is n(b)? -10 Let m(j) = -j**2 - 7*j + 9. Suppose i = 4*c + 24 + 5, 2*c - 4*i = -18. What is m(c)? 9 Let f = 215 - 358. Let t = 136 + f. Let b(n) = -2*n - 7. Calculate b(t). 7 Let q(j) be the third derivative of j**7/840 + j**6/180 + j**4/6 + j**3/3 + 21*j**2. Let w(h) be the first derivative of q(h). Give w(-3). -5 Let l(m) = 13*m**2 - 21*m**2 - 2*m + 11*m**2 + 1. Let n be l(1). Let t(p) = 6 + p**2 - p**2 + 6*p - p**n. Calculate t(5). 11 Suppose -w - 17 = -3*p, -5*p + 4 = 3*w - 1. Let n be (2/4)/((10/4)/w). Let u(y) = -2*y**3 + y + 1. Calculate u(n). 2 Suppose 5*q + 61 = -5*j - 4, -j - 11 = 2*q. Let d(g) = g**3 + 17*g**2 + 32*g + 35. Calculate d(j). 5 Let n(h) = 2 - 4*h + 2*h - 6 + 0*h. Let q(c) = -5*c**2 - 32*c - 31. Let a be q(-1). Give n(a). 4 Let t(l) = -31*l**2 - 1 - 55*l + 30*l**2 + 61*l. Let n = 9 + -3. What is t(n)? -1 Let b be 6/(-5)*(-140)/(-21). Let h = b + 9. Let o(k) = 0*k + 2*k**2 + k**3 - 7*k**2 + k - h. Calculate o(5). 4 Suppose -w + 2*w = 14. Suppose -t + w = t. Suppose -g - q - t = 4*g, -2*q = -g - 8. Let k(s) = -s**3 - 4*s**2 - 3*s - 1. Determine k(g). -3 Let t(p) = 5*p**2 - 2*p + 1. Suppose -7*b = -11*b - 240. Let d = 62 + b. Calculate t(d). 17 Let g(x) be the third derivative of x**5/60 + 5*x**4/24 + 7*x**3/6 + 68*x**2 + 2. Give g(-3). 1 Suppose 12*g - 140 = -68. Let a(m) = m**3 - 8*m**2 + 10*m - 8. What is a(g)? -20 Let z(n) = 4*n**2 + 23*n + 15. Let c be z(-5). Let b(h) be the first derivative of 1/2*h**2 + c*h - 4/3*h**3 - 5. Calculate b(1). -3 Suppose -25 = 5*p, -62 = -3*a - p - 4*p. Suppose 2*y = -5*b - a, -5*b + 3*y - 33 = -14. Let c(h) = h**2 - 5. Calculate c(b). 20 Let y(c) = -3 + 1 + 4*c + c - c**2 + 1. Suppose -3*i - 7 = -4*i + j, 0 = -2*i - 2*j + 2. What is y(i)? 3 Let z(r) = r**2 + 2*r - 3. Let s(l) be the third derivative of l**5/60 - 3*l**4/8 + 2*l**3/3 - 11*l**2. Let k be s(8). Give z(k). 5 Let h be (3/4)/((-21)/(-56)). Suppose 3*g - p = 15, 0 = -2*g - p - h*p - 1. Let b(v) = -v**3 + 4*v**2 - 2*v + 5. Determine b(g). -3 Let j(d) = -d**3 + 4*d**2 + 6*d - 3. Let c be j(5). Suppose -c*g = 2*g + 20. Let n(w) be the first derivative of -w**2/2 - 4*w - 5. Give n(g). 1 Let p(r) be the third derivative of -r**5/60 - r**4/8 - r**3/2 + 30*r**2. Suppose -10 = 2*c - 0*c. Calculate p(c). -13 Let b(g) be the first derivative of -7*g**3/3 + g**2/2 - 220. Give b(1). -6 Let r(u) = -7*u**3 - 14*u**2 - 2*u - 9. Let t(a) = -13*a**3 - 27*a**2 - 5*a - 17. Let s(f) = -11*r(f) + 6*t(f). Determine s(-7). 4 Let i(f) = f**2 + 5*f - 11. Let u(y) = y**2 + 8*y - 17. Let a(c) = 8*i(c) - 5*u(c). Let d(p) = 10*p**2 - 8. Let l(n) = 11*a(n) - 4*d(n). What is l(-1)? -8 Let x(c) = 155*c**2 - c**3 + 0*c**3 + 0*c - 7*c - 1 - 163*c**2. Calculate x(-7). -1 Let r(y) = y**3 + 7*y**2 + 4*y - 12. Suppose 3*w - 33 = 4*n, -2*n + 227*w = 230*w + 3. Give r(n). 0 Let l(r) = 6*r - 2. Let h(d) = 6*d - 3. Let z(i) = -3*h(i) + 4*l(i). Let k be 1 - 3 - 6/(-3). Suppose k = -6*u + 11*u + 5. Determine z(u). -5 Let h(n) = -n**3 + 8*n**2 + 3*n + 2. Suppose 0 = -2*t + 2, t - 118 = 4*f - 149. Determine h(f). 26 Let j be (-90)/(-11) - 14/77. Suppose j*r + 20 = 13*r. Let p(h) = -h**2 + h + 4. What is p(r)? -8 Let c = 1 - 7. Let q(x) = -7*x**2 - 7*x. Let v(o) = -13*o**2 - 14*o. Let b be ((-27)/(-12))/(9/(-24)). Let y(i) = b*v(i) + 11*q(i). Give y(c). -6 Let o(t) = t + 1. Let a(m) be the second derivative of m**3/2 - 5*m**2/2 - 5*m. Let b(d) = -a(d) + 2*o(d). What is b(9)? -2 Let b(u) = 94*u - 281. Let l be b(3). Let p(i) = 2*i + 1. Let h(w) = w. Let n(d) = 4*h(d) - p(d). Calculate n(l). 1 Let f = -5 - 1. Let y(d) be the third derivative of 0 + 9*d**2 + 1/10*d**5 - 4/3*d**3 + 1/120*d**6 + 0*d + 0*d**4. Calculate y(f). -8 Let f(n) = -2*n - 12. Let s be f(-6). Let w(l) be the second derivative of -l**5/20 + l**4/12 - 11*l**2/2 - 5*l + 7. Calculate w(s). -11 Let j(p) be the third derivative of -p**7/840 + p**6/72 + 3*p**5/40 - p**4/3 + 10*p**3 - 7*p**2 - p. Let t(d) be the first derivative of j(d). Determine t(6). 10 Let d(k) = -2*k**2 + 21*k - 8. Let w be d(10). Suppose m = u - 6, -23 = w*u + 6*m - m. Let v(r) = 9*r - 1. Determine v(u). 8 Let o(a) = 7*a - 46. Let r be o(6). Let d(f) = -f**2 - 4*f. Give d(r). 0 Suppose -3*b - 11*b - 14 = 0. Let i(y) = -y + 1. Let t(w) = -w + 1. Let u(p) = 5*p - 8. Let v(q) = 3*t(q) + u(q). Let z(k
{ "pile_set_name": "DM Mathematics" }
second derivative of 7371654*k**4 + 93027*k wrt k? 88459848*k**2 What is the third derivative of -2*c*s**3 + c*s**2 - 223031*c - 9422252*s**3 + 1 wrt s? -12*c - 56533512 What is the derivative of 5542*f*j*v - 3517*f*j - 71980*j*v - 55*j - v + 1 wrt f? 5542*j*v - 3517*j Find the second derivative of -11639994*h**2 + 12381809*h. -23279988 What is the second derivative of -464570039*q**3 + 532215738*q wrt q? -2787420234*q Find the first derivative of -2112*h**3 + 351*h*o**2 - 3*h*o + 22449231*o**2 wrt h. -6336*h**2 + 351*o**2 - 3*o Differentiate -10900562*t**4 - 3*t**3 - t + 232938905. -43602248*t**3 - 9*t**2 - 1 Find the second derivative of 8900453*x**2 - 1352571*x. 17800906 What is the second derivative of 171*q**4*w + 89*q**3 + 93*q**2*w - 4*q*w - 2*q - 893*w - 351 wrt q? 2052*q**2*w + 534*q + 186*w What is the second derivative of -16361756*n**2 + 12830490*n wrt n? -32723512 Differentiate 102866067*p**2 + 990187224. 205732134*p What is the third derivative of 1327373348*z**3 - 209509805*z**2 + 3*z? 7964240088 What is the first derivative of 510477618*b**3*m - 3954*b**3 + 1275*b**2 wrt m? 510477618*b**3 Differentiate 6646465*i*o + 11096465*o with respect to i. 6646465*o Differentiate -3477*r**3 - 77*r**2 + 3227486 with respect to r. -10431*r**2 - 154*r Differentiate 9004851*r**4 - 12993151 wrt r. 36019404*r**3 What is the first derivative of 20*a*k*t**2 + 77138*a*k*t + 2*a*t**2 - k*t**2 - 5*k + 4053*t**2 + 11*t wrt a? 20*k*t**2 + 77138*k*t + 2*t**2 Find the first derivative of -3*o*t**3 - 2515460*o*t + 7*t**3 - 7870246*t**2 wrt o. -3*t**3 - 2515460*t Find the second derivative of -20268192*u**2*w - 2*u*w - 197*u - w + 16604 wrt u. -40536384*w What is the derivative of -460151553*j*o**2 - 397263*o**2 + 254*o wrt j? -460151553*o**2 What is the derivative of 10599430*b*x**2 + 1661*x**2 - 143 wrt b? 10599430*x**2 What is the derivative of -194647*a**3 + 3*a**2 - a + 7876633 wrt a? -583941*a**2 + 6*a - 1 Differentiate -796876*d - 1272908 with respect to d. -796876 Differentiate 136*l**3*v - 2051*l**3*w - l - 365287*v*w + 5*w + 42 wrt v. 136*l**3 - 365287*w What is the second derivative of 313207280*b**3 + 76*b - 2013318? 1879243680*b Find the third derivative of -361*p**2*w**3 - 2*p**2 - 4*p*w**3 + 8*p*w**2 - 203*w**3 - 2324*w**2 + 1 wrt w. -2166*p**2 - 24*p - 1218 What is the second derivative of -430042468*p**2 - 14*p - 652524 wrt p? -860084936 Differentiate -281204838*t**2 + 286094797 wrt t. -562409676*t Differentiate 43598706*i**2*r + 453475621*i**2 wrt r. 43598706*i**2 What is the second derivative of 71500662*u**5 + 516*u + 30552 wrt u? 1430013240*u**3 Find the second derivative of o**3*s*t - 185698*o**2*s**3 - 3*o**2*t - 24*o*s**3*t - 23*o*s**2 + 10*o + s**3 + 53*t wrt o. 6*o*s*t - 371396*s**3 - 6*t Find the first derivative of 3699833*f**2 - 5171876. 7399666*f Find the second derivative of 4*f**3*r*u + 2*f**2*r + 21127084*f**2*u**2 + 3*f*r*u**2 + 5*f*r - 11*f*u**2 + 3*r*u**2 - 891 wrt f. 24*f*r*u + 4*r + 42254168*u**2 Find the third derivative of 255168164*w**4 + 715210*w**2 + w + 11. 6124035936*w What is the derivative of -874857023*j**4 + 117254229? -3499428092*j**3 What is the third derivative of -124174141*y**6 + 7*y**2 + y - 785272 wrt y? -14900896920*y**3 Find the third derivative of 182117*l**5 + 314*l**4 + 250*l**2 - 393850. 10927020*l**2 + 7536*l Find the second derivative of 1498324*m**4 - 3*m**2 - 19860898*m wrt m. 17979888*m**2 - 6 What is the second derivative of 60511895*c**5 - 696972532*c? 1210237900*c**3 Find the third derivative of -13637298*d**3 + 8840*d**2 + 11*d + 6. -81823788 Differentiate -734*a**3*p*s - 9*a**3*s - 2*a**2 + a*c*s - 473*a*s + 180*c*p - 4*p*s - 5*s with respect to p. -734*a**3*s + 180*c - 4*s Find the second derivative of -28189468*d**5 + 7*d - 208814 wrt d. -563789360*d**3 What is the third derivative of -5749365*n**4 - 15970*n**2 - 594*n? -137984760*n Differentiate -51*q*x**2 - 334246*q*x + 137*q - 419164 with respect to x. -102*q*x - 334246*q Find the third derivative of -2795*r*t**3 - 47*r*t**2 + 3*r - 8048*t**3 - 1769*t**2 - 65 wrt t. -16770*r - 48288 Differentiate -345259075*f*j**2 - 4*j**2 + 677816 with respect to f. -345259075*j**2 What is the first derivative of 31*a**3*u + 2*a**3 - 2*a**2*u**2 - 762*a**2 - 189*a + 78268*u**2 - 6 wrt u? 31*a**3 - 4*a**2*u + 156536*u What is the second derivative of 14025821*p**2 + 29522060*p wrt p? 28051642 What is the first derivative of -232573313*m - 438984414? -232573313 Find the first derivative of 110*k**4 - 296988*k*p**3 - 17*p**3 + 9437*p**2 - 10 wrt k. 440*k**3 - 296988*p**3 What is the third derivative of -4667*h**5 - 5284*h**4 - 257763997*h**2? -280020*h**2 - 126816*h What is the derivative of 14*c*v**2 + 1790151*c*v + 158*v**2 + 27599 wrt c? 14*v**2 + 1790151*v What is the second derivative of -7472*t**3 - 1230*t**2 + 4505*t + 14625 wrt t? -44832*t - 2460 What is the second derivative of 3589621*b**3 - 3*b**2*k + b**2 - 109531*b - 8*k wrt b? 21537726*b - 6*k + 2 What is the second derivative of 3*z**4 + 227634*z**3 + 14*z**2 + 12031*z - 8226? 36*z**2 + 1365804*z + 28 What is the third derivative of 9453*r**6*s + 1230*r**4*s**3 + 5*r**2*s**3 + 17*r**2*s**2 + 2*r**2*s - 60*r*s - 38*s + 15 wrt r? 1134360*r**3*s + 29520*r*s**3 Find the second derivative of -11405325*c**2 - 10624828*c wrt c. -22810650 Find the third derivative of 1876*o**5 + 3079*o**4 - 7980*o**2 + 4773*o wrt o. 112560*o**2 + 73896*o What is the second derivative of 2*q**3 + 88198823*q**2 - 213251614*q wrt q? 12*q + 176397646 What is the second derivative of 1799540*k**3*s**2*x - 270*k**3*s + 3*k**3*x**2 + 38*k**3 + 6*k**2*s**2*x**2 - 18*k*x**2 - 2*s*x + 2*s wrt s? 3599080*k**3*x + 12*k**2*x**2 What is the third derivative of 25*w**6*x**2 + 6119693*w**3*x**3 - 59*w**2 + 7*w*x**3 + 325*w*x + 251*x**3 wrt w? 3000*w**3*x**2 + 36718158*x**3 What is the derivative of 7555614*s**2 - 9947639? 15111228*s Differentiate 5154102*u**2 + 54721756 wrt u. 10308204*u Find the first derivative of 58*x*y - 441675*x + 3523226*y**2 + 242 wrt y. 58*x + 7046452*y What is the third derivative of -695124225*a**3*w**3 + 4*a**3*w**2 - 6*a**3*w - 3*a**2*w - 2*a*w**2 - 1841*a*w + 9*a wrt w? -4170745350*a**3 Find the second derivative of 125*f**2*g**2 + 122*f**2*g - 63*f**2 + 160*f*g - 85*f - 10*g**2 + 11 wrt f. 250*g**2 + 244*g - 126 What is the third derivative of 10*d**4*s**3 + 85*d**3*s**3 + 2275*d**3 - 3*d**2*s**3 - 96*d**2*s**2 + 20*d**2 + 319 wrt d? 240*d*s**3 + 510*s**3 + 13650 Find the second derivative of 179590*k**5 - 6*k**4 - k - 29112. 3591800*k**3 - 72*k**2 Find the second derivative of -2*d**2*u*y + d**2*u + 483*d**2*y + 1047*d**2 + 53*d*u*y - 3140*d*y - 2*u - 8*y - 2 wrt d. -4*u*y + 2*u + 966*y + 2094 What is the second derivative of -1228*b**3*i - 1572*b**2*i - 4*b*i + b - 143373*i wrt b? -7368*b*i - 3144*i Differentiate 50*h**3 + 555*h**2 - 14*h + 6286474. 150*h**2 + 1110*h - 14 Find the first derivative of 19500*b**3*d*f**3 - 4*b**3*f**3 - 2*b**2*f**3 + 2*b**2*f + 805*b**2 - 27*b - 2301*d*f**3 wrt d. 19500*b**3*f**3 - 2301*f**3 What is the first derivative of 233118187*z + 140830099? 233118187 What is the third derivative of 9400*b**4*r + 2*b**4 - 2488*b**3*r - 11*b**2*r - 95*b**2 - 32*b*r + 2*b - r - 1 wrt b? 225600*b*r + 48*b - 14928*r Find the third derivative of -236*s**4*x**3 + 8874*s**4*x - 47*s**2*x**2 - 21651*s*x**3 wrt s. -5664*s*x**3 + 212976*s*x What is the first derivative of -11721059*q**4 - 4261047? -46884236*q**3 What is the second derivative of -5322624*u**2 + 2461576*u wrt u? -10645248 Find the third derivative of -17705681*h**4 - 1181*h**2 + 35*h - 2 wrt h. -424936344*h Find the third derivative of -1046579885*x**3 + 203494*x**2 + 4*x wrt x. -6279479310 What is the derivative of -7*x**4 - 13099237*x + 914855568? -28*x**3 - 13099237 What is the third derivative of p**3*t*w**2 + 5462990*p**3*t - 655903*p**2*t - 43*p**2*w - t*w**2 wrt p? 6*t*w**2 + 32777940*t Differentiate 43710899*r**4 + 43522020 with respect to r. 174843596*r**3 What is the second derivative of -156695*g**3*u**2 - 23*g**2*u + 16496215*g*u**2 + g*u wrt g? -940170*g*u**2 - 46*u What is the derivative of n**2*s - 79352696*n**2 + 309782457*s wrt n? 2*n*s - 158705392*n Differentiate 16*g**3*m - 77*g**3 - 266690*g
{ "pile_set_name": "DM Mathematics" }
7 Calculate the highest common divisor of 22 and 121. 11 What is the highest common divisor of 221 and 143? 13 Calculate the greatest common divisor of 783 and 54. 27 Calculate the highest common factor of 2088 and 8. 8 Calculate the highest common divisor of 405 and 18. 9 Calculate the greatest common divisor of 185 and 235. 5 Calculate the greatest common divisor of 390 and 1820. 130 Calculate the highest common factor of 89 and 5251. 89 Calculate the greatest common factor of 1782 and 22. 22 Calculate the highest common divisor of 312 and 24. 24 Calculate the greatest common divisor of 8 and 724. 4 Calculate the greatest common divisor of 29 and 464. 29 Calculate the highest common divisor of 4160 and 65. 65 What is the greatest common factor of 8 and 68440? 8 What is the highest common factor of 1 and 103? 1 What is the highest common factor of 2101 and 5921? 191 What is the highest common factor of 476 and 28? 28 Calculate the greatest common factor of 14 and 32. 2 What is the greatest common divisor of 154 and 56? 14 Calculate the highest common factor of 1303 and 1. 1 What is the highest common divisor of 4448 and 1? 1 Calculate the greatest common factor of 28 and 105476. 28 What is the highest common divisor of 238 and 112? 14 Calculate the highest common divisor of 4516 and 4. 4 Calculate the highest common factor of 1359 and 1963. 151 Calculate the highest common divisor of 8 and 192. 8 Calculate the highest common divisor of 8 and 32. 8 Calculate the highest common divisor of 2016 and 64. 32 Calculate the greatest common factor of 6407 and 86. 43 What is the greatest common divisor of 129 and 4171? 43 What is the greatest common factor of 272 and 17? 17 Calculate the greatest common divisor of 1072 and 16. 16 What is the greatest common factor of 108 and 1998? 54 Calculate the greatest common factor of 69 and 27. 3 What is the highest common factor of 47 and 47? 47 What is the greatest common divisor of 6370 and 30? 10 Calculate the greatest common divisor of 69 and 39. 3 What is the highest common divisor of 54 and 4? 2 What is the greatest common divisor of 9234 and 228? 114 What is the greatest common factor of 888 and 80? 8 What is the greatest common factor of 1 and 569? 1 Calculate the greatest common divisor of 444 and 1443. 111 What is the highest common factor of 4 and 236? 4 Calculate the greatest common factor of 187 and 22. 11 Calculate the greatest common divisor of 11 and 869. 11 What is the greatest common factor of 62 and 2? 2 Calculate the highest common factor of 646 and 34. 34 Calculate the highest common divisor of 1159 and 549. 61 Calculate the highest common factor of 10797 and 177. 177 What is the greatest common divisor of 116 and 2? 2 Calculate the greatest common divisor of 22313 and 53. 53 What is the greatest common divisor of 1 and 343? 1 Calculate the highest common divisor of 4 and 58. 2 What is the greatest common divisor of 711 and 9? 9 What is the highest common divisor of 1025 and 82? 41 Calculate the highest common factor of 599 and 1. 1 Calculate the highest common factor of 3 and 12549. 3 What is the highest common factor of 72 and 90? 18 What is the greatest common divisor of 30 and 795? 15 What is the greatest common divisor of 48 and 54? 6 What is the greatest common factor of 1593 and 236? 59 Calculate the highest common factor of 33 and 187. 11 Calculate the highest common divisor of 57 and 6593. 19 Calculate the greatest common divisor of 3567 and 492. 123 What is the highest common factor of 560 and 240? 80 What is the greatest common divisor of 6278 and 258? 86 What is the highest common divisor of 3 and 225? 3 Calculate the greatest common divisor of 876 and 60. 12 What is the greatest common factor of 5140 and 20? 20 Calculate the highest common factor of 750 and 285. 15 Calculate the highest common divisor of 330 and 270. 30 Calculate the greatest common factor of 3716 and 4. 4 Calculate the greatest common divisor of 1 and 1. 1 What is the greatest common divisor of 15 and 1920? 15 What is the greatest common factor of 2590 and 280? 70 Calculate the greatest common factor of 11 and 1221. 11 Calculate the highest common factor of 1755 and 45. 45 What is the highest common divisor of 48621 and 228? 57 What is the highest common factor of 8900 and 350? 50 Calculate the highest common divisor of 513 and 57. 57 Calculate the highest common divisor of 288 and 108. 36 Calculate the highest common factor of 25 and 1325. 25 What is the greatest common factor of 1633 and 23? 23 What is the highest common divisor of 1062 and 590? 118 What is the highest common factor of 16 and 646? 2 What is the greatest common factor of 104 and 1832? 8 Calculate the greatest common divisor of 21 and 2289. 21 What is the highest common factor of 75 and 1425? 75 Calculate the greatest common factor of 395 and 10. 5 Calculate the highest common divisor of 114 and 102. 6 Calculate the greatest common divisor of 96 and 1000. 8 Calculate the highest common factor of 2 and 192. 2 What is the greatest common factor of 94 and 4042? 94 Calculate the highest common divisor of 9 and 7389. 9 What is the greatest common factor of 105 and 300? 15 Calculate the highest common divisor of 90 and 1575. 45 Calculate the greatest common factor of 754 and 58. 58 What is the greatest common divisor of 315 and 21? 21 What is the highest common factor of 164 and 820? 164 What is the highest common factor of 14 and 2? 2 Calculate the highest common factor of 188 and 8. 4 Calculate the greatest common divisor of 100 and 350. 50 What is the highest common factor of 328 and 104? 8 What is the greatest common divisor of 20 and 25110? 10 Calculate the greatest common factor of 14 and 147. 7 Calculate the greatest common factor of 168 and 21336. 168 What is the highest common factor of 806 and 62? 62 What is the greatest common factor of 1308 and 228? 12 Calculate the highest common divisor of 228 and 57. 57 What is the greatest common divisor of 14 and 3542? 14 Calculate the highest common factor of 120 and 9384. 24 Calculate the greatest common divisor of 3244 and 12. 4 What is the greatest common factor of 290 and 174? 58 What is the greatest common divisor of 340 and 17? 17 What is the highest common factor of 77 and 1771? 77 Calculate the greatest common factor of 210 and 168. 42 Calculate the highest common factor of 59 and 16. 1 What is the highest common divisor of 105 and 609? 21 Calculate the greatest common divisor of 34304 and 67. 67 Calculate the highest common factor of 429 and 78. 39 Calculate the greatest common divisor of 844 and 4. 4 Calculate the greatest common divisor of 656 and 1394. 82 Calculate the highest common divisor of 116 and 87. 29 Calculate the highest common factor of 774 and 43. 43 Calculate the highest common divisor of 1378 and 26. 26 Calculate the greatest common divisor of 3060 and 720. 180 Calculate the highest common divisor of 642 and 749. 107 Calculate the highest common factor of 6561 and 63. 9 Calculate the greatest common factor of 888 and 111. 111 Calculate the highest common divisor of 8 and 3016. 8 What is the greatest common factor of 441 and 9? 9 What is the greatest common factor of 18 and 110? 2 What is the highest common divisor of 575 and 50? 25 Calculate the greatest common divisor of 30 and 28875. 15 Calculate the highest common divisor of 18 and 4509. 9 What is the greatest common divisor of 64 and 192? 64 What is the highest common factor of 106 and 1590? 106 What is the greatest common divisor of 1672 and 228? 76 What is the highest common factor of 316 and 79? 79 Calculate the highest common factor of 1386 and 220. 22 Calculate the greatest common divisor of 88 and 506. 22 Calculate the highest common divisor of 38 and 266. 38 Calculate the greatest common divisor of 795 and 15. 15 Calculate the highest common factor of 105 and 45. 15 What is the highest common factor of 40 and 61720? 40 Calculate the highest common factor of 780 and 16068. 156 What is the greatest common divisor of 15 and 1245? 15 What is the highest common divisor of 75 and 1605? 15 Calculate the greatest common factor of 680 and 85. 85 Calculate the greatest common factor of 75 and 555. 15 What is the high
{ "pile_set_name": "DM Mathematics" }
02. Give m(-9). 12 Let o(s) = -72*s - 906. Calculate o(-13). 30 Let u(r) = -19*r - 314. Calculate u(-21). 85 Let n(y) = y**3 + 5*y**2 - 16*y + 6. Give n(3). 30 Let p(s) = -s**3 + 3*s**2 + 421*s + 1570. Give p(-4). -2 Let z(b) = 2*b**2 - 43*b + 161. Calculate z(17). 8 Let i(h) = h**2 + 34*h - 246. Determine i(-40). -6 Let i(q) = q**2 + 65*q + 179. Give i(-62). -7 Let g(p) = p**3 - 68*p**2 - 14*p + 955. Calculate g(68). 3 Let q(r) = 18*r**2 - 340*r - 68. Determine q(19). -30 Let w(u) = -u**3 + 38*u**2 - 110*u + 46. Calculate w(35). -129 Let q(g) = -g**3 - 8*g**2 - 35*g - 345. Determine q(-9). 51 Let b(o) = -o**3 + 25*o**2 - 100*o + 15. Give b(20). 15 Let z(x) = -393*x + 778. Determine z(2). -8 Let y(w) = 3*w**2 - 20*w - 56. Give y(10). 44 Let g(w) = w**3 + 21*w**2 - 46*w - 6. What is g(-23)? -6 Let a(d) = -13*d**2 - 470*d - 70. Calculate a(-36). 2 Let g(r) = 11*r**2 + r + 6. Determine g(2). 52 Let n(x) = 5*x**2 - 106*x - 736. What is n(-7)? 251 Let b(i) = -i**3 - 16*i**2 + 51*i + 5. Calculate b(3). -13 Let f(c) = -c**3 - 27*c**2 - 16*c - 2146. Calculate f(-29). 0 Let h(l) = 104*l - 14776. What is h(142)? -8 Let x(d) = -d**2 - 333*d - 27375. What is x(-148)? 5 Let i(d) = -196*d + 410. Give i(2). 18 Let k(j) = -j**3 - 13*j**2 - 22*j - 12. What is k(-6)? -132 Let n(t) = t**2 - 33*t + 160. Calculate n(6). -2 Let f(p) = -39*p - 333. Calculate f(-9). 18 Let o(h) = h**3 + 4*h**2 - 5*h - 26. Give o(-6). -68 Let p(s) = -131*s**2 - 4*s + 18. Give p(1). -117 Let r(s) = -s**3 + 39*s**2 + 168*s + 158. Give r(43). -14 Let r(y) = -32*y + 696. Give r(21). 24 Let p(v) = -2*v**2 - 12*v - 33. Determine p(-8). -65 Let t(l) = -l**3 - 47*l**2 - 240*l - 16555. Give t(-49). 7 Let k(f) = f**2 + 41*f + 35. Give k(-40). -5 Let y(f) = -f**2 - 520*f + 1558. What is y(3)? -11 Let r(v) = -v**2 - 2*v + 47. What is r(11)? -96 Let m(r) = -275*r - 688. Give m(-3). 137 Let w(f) = -67*f + 5700. Calculate w(85). 5 Let h(z) = z**3 + 137*z**2 + 398*z + 6. What is h(-3)? 18 Let m(j) = -6*j**2 - 18*j - 15. What is m(-8)? -255 Let h(j) = 14*j**3 - 6*j**2 - j - 614. Calculate h(0). -614 Let o(h) = 5*h**2 - 92*h - 160. Give o(20). 0 Let y(z) = 145*z - 2364. What is y(10)? -914 Let l(k) = k**3 + 8*k**2 - 10*k + 55. What is l(-11)? -198 Let y(l) = -63*l**2 - 14*l + 7. Calculate y(2). -273 Let v(r) = r**3 - 45*r**2 + 461*r + 53. What is v(16)? 5 Let t(x) = 22*x - 22. What is t(-1)? -44 Let v(w) = 19*w - 2408. Calculate v(127). 5 Let i(c) = -c**2 - 50*c + 81. What is i(-15)? 606 Let l(y) = -7*y + 130. Give l(19). -3 Let z(y) = y**3 + 25*y**2 + 25*y - 3. What is z(-24)? -27 Let x(k) = -2*k**3 - 372*k**2 + 374*k + 3. Determine x(-187). 3 Let h(i) = i**3 + 7*i**2 - 231*i - 1967. Give h(-9). -50 Let g(o) = 19*o**2 + 440*o + 62. Determine g(-23). -7 Let g(o) = o**3 - 36*o**2 - 246*o - 253. Give g(42). -1 Let z(t) = -3*t**2 + 6*t + 48. Determine z(9). -141 Let w(b) = -115*b - 11195. What is w(-97)? -40 Let u(w) = w**3 - 14*w**2 + 23*w - 9. What is u(9)? -207 Let n(t) = -t**2 + 5*t + 667. Calculate n(-23). 23 Let a(y) = 4*y**3 - 7*y**2 - 33*y - 147. Determine a(-5). -657 Let c(q) = -7*q**2 - 93*q - 21. Give c(-9). 249 Let l(u) = u**3 + 3*u**2 - 23*u + 36. What is l(0)? 36 Let p(h) = 24*h + 36. What is p(-3)? -36 Let i(g) = -309*g - 24398. Calculate i(-79). 13 Let j(n) = 69*n - 1448. Determine j(21). 1 Let t(m) = -169*m - 16136. What is t(-95)? -81 Let o(a) = -a**3 - 31*a**2 + 4*a + 133. Give o(-31). 9 Let l(j) = 5*j**2 + 695*j - 1416. What is l(2)? -6 Let y(u) = 213*u - 2102. Determine y(10). 28 Let u(c) = -11*c - 170. Determine u(-9). -71 Let f(g) = g**3 - 3*g**2 - 16*g + 33. What is f(5)? 3 Let a(l) = 10*l**2 + 564*l - 338. Determine a(-57). 4 Let y(r) = -r**2 - 38*r - 263. Give y(-29). -2 Let m(u) = 2*u + 304. What is m(48)? 400 Let x(z) = -24*z**2 + 8*z - 8. Determine x(1). -24 Let c(b) = -3*b + 58. Determine c(22). -8 Let a(h) = 2*h**3 + h**2 - 6*h - 470. What is a(0)? -470 Let w(y) = -6*y**3 + 31*y**2 + 14*y - 117. Give w(4). 51 Let o(a) = -99*a + 7325. Give o(74). -1 Let k(o) = -6*o**2 - 115*o + 63. Determine k(-20). -37 Let h(x) = -6*x**3 - 26*x**2 - 4*x + 15. Determine h(-4). -1 Let u(a) = 2983*a + 71592. Give u(-24). 0 Let u(c) = c**2 + 138*c + 3726. Calculate u(-38). -74 Let f(u) = u**3 - 26*u**2 - 20*u - 186. What is f(27)? 3 Let m(a) = -11*a**3 - a**2 + 3*a + 1. Give m(-1). 8 Let k(t) = -668*t + 68816. Give k(103). 12 Let d(a) = a**3 + 18*a**2 + 8*a - 120. Determine d(-17). 33 Let b(z) = z**3 - 94*z**2 - 396*z + 9. Determine b(-4). 25 Let x(d) = d**3 + 8*d**2 - 25*d + 254. What is x(-12)? -22 Let b(t) = -35*t**3 + 387*t**2 - 25*t + 7. Give b(11). -26 Let l(a) = -11*a + 149. Calculate l(13). 6 Let t(p) = -3*p**2 + 18*p + 155. Give t(-6). -61 Let z(l) = 103*l - 772. Calculate z(8). 52 Let x(l) = l**2 + 76*l + 886. Give x(-15). -29 Let p(i) = -662*i + 23. Give p(1). -639 Let t(s) = -s**3 - 30*s**2 + 255*s - 156. Calculate t(-37). -8 Let k(r) = 2*r**2 - 40*r + 134. Give k(16). 6 Let g(y) = y**3 - 20*y**2 + 31*y - 49. Give g(19). 179 Let y(o) = -o**3 - 78*o**2 + 240*o - 217. Give y(-81). 26 Let k(c) = -6*c**3 - 3*c**2 - 3*c + 9. Determine k(4). -435 Let l(s) = -s**3 - 14*s**2 - 23*s + 37. Determine l(-12). 25 Let a(p) = 8*p**2 - 29*p - 17. Calculate a(4). -5 Let k(v) = 2*v**2 + 202*v + 1494. What is k(-93)? 6 Let i(w) = -2*w**3 + 14*w**2 + 14*w - 7. What is i(8)? -23 Let u(r) = 16*r + 113. Calculate u(-13). -95 Let k(n) = -n**2 - 16*n + 168. Give k(0). 168 Let i(x) = 6*x**3 - 2*x**2 - 18*x - 1. What is i(-3)? -127 Let r(p) = -3*p**2 - 75*p - 440. Give r(-8). -32 Let l(z) = -32*z + 6. Determine l(15). -474 Let h(i) = i**2 + 187*i - 368. Give h(2). 10 Let s(c) = -23*c - 331. Determine s(-18). 83 Let w(d) = d**2 + 58*d - 13540. What is w(-149)? 19 Let j(p) = -4*p**2 - 187*p - 539. Determine j(-3). -14 Let o(t) = 34*t**2 - 235*t - 29. What is o(7)? -8 Let j(n) = 13*n**3 + 3*n**2 - 6*n + 4. Give j(1). 14 Let v(q) = -195*q - 3896. What is v(-20)? 4 Let i(g) = 46*g**2 + 9*g + 21. Give i(-4). 721 Let z(t) = -15*t**2 - 1094*t + 121. Give z(-73). 48 Let q(z) = -4*z - 208. Determine q(-9). -172 Let j(i) = -49*i + 237. Determine j(4). 41 Let g(q) = 571*q - 1140. Calculate g(2). 2 Let t(b) = -1364*b - 9527. Calculate t(-7). 21 Let q(t) = -9*t**2 - 293*t + 31. Calculate q(-31). 465 Let y(x) = -x**2 - 35*x - 180. Determine y(-34). -146 Let o(y) = -y**3 - 11*y**2 + 20*y + 42. Give o(-12). -54 Let l(f) = -f**2 - 4*f - 6. Determine l(5). -51 Let j(r) = -2*r**2 - 24*r + 15. Give j(-13). -11 Let l(n) = 50*n**3 - 2*n**2 - 15*n + 16. What is l(1)? 49 Let g(t) = 6*t - 180. What is g(18)? -72 Let h(v) = 3*v**2 - 14*v + 74. Give h(6). 98 Let c(b) = -13*b**2 + 99*b - 297. Give c(3). -117 Let p(v) = 17722*v + 124052. What is p(-7)? -2 Let v(k) = 10*k**2 + 63*k + 31. Calculate v(-6). 13 Let m(d) = d**3 - 6*d**2 - 59*d + 199. Give m(11). 155 Let z(s) = s**3 + 49*s**2 + 90*s - 190. Determine z(-47). -2 Let c(m) = m**2 - 29*m + 173. Determine c(21). 5 Let y(r) = 3*r**3 + 41*r**2 + 126*r + 4. Give y(-9). 4 Let t(p) = 45*p + 1133. Determine t(-25). 8 Let j(d) = -3*d**2 + 337*d + 4335. Calculate j(124). -5 Let c(x) = -x**3 + 15*x**2 - 19*x - 8. Calculate c(11). 267 Let n(a) = a**2 + 13*a - 8. Determine n(-18). 82 Let u(x) = x**3 - 3*x**2 - 105*x + 66. What is u(-9)? 39 Let i(v) = 8*v - 14. Give i(-7). -70 Let f(y) = -27*y**3 - 4*y**2 + 5*y - 3. Give f(1). -29 Let t(n) = 2*n**3 + 29*n**2 - 11*n - 357. Give t(-14). -7 Let d(o) = o**3 - 195*o**2 - 903*o - 19409. Give d(200). -9 Let x(u) = 3123*u + 9370. Give x(-3). 1 Let n(o) = -o**2 - 505*o - 8290. Give n(-17). 6 Let y(c) = 6*c - 91. Give y(28). 77 Let r(f) = -77*f - 288. Give r(-5). 97 Let c(s) = -s**3 - 4*s**2 + 136*s - 63. What is c(10)? -103 Let q(a) = -a**2 - 32*a + 77. Determine q(-34). 9 Let w(y) = -24*y**2 - 549*y - 1. Determine w(-23). -70 Let x(m) = m**3 + 50*m**2 + 616*m + 8. Give x(-22). 8 Let f(x) = -3*x**2 - 7*x + 103. What is f(-7)? 5 Let y(p) = -4*p**3 + 11*p**2 + 124*p - 361. Calculate y(3). 2 Let h(n) = -2*n**2 - 401*n + 9841. Calculate h(22). 51 Let s(d) = 3*d**2 - 16*d + 10. What is s(-5)? 165 Let r(z) = -z**3 - 2*z**2 + 5*z + 3. What is r(5)? -147 Let n(k) = 11*k**2 - 310*k - 967. Calculate n(31). -6 Let v(j) = 11*j**3 + 5*j**2 - 5*j + 6. What is v(2)?
{ "pile_set_name": "DM Mathematics" }
ith respect to g. 30*g**2 Let r(c) be the first derivative of 13*c**3/3 + 26*c + 1. Let h(z) = 4*z**2 + 9. Let s(n) = 8*h(n) - 3*r(n). Differentiate s(d) with respect to d. -14*d Let k(d) = -d**2 + d - 1. Let q(o) = 5*o**4 - 45*o**2 + 40*o - 45. Let i(y) = 180*k(y) - 4*q(y). What is the second derivative of i(v) wrt v? -240*v**2 Suppose -w + 1 + 2 = 0. What is the third derivative of 5*x**w + 0*x**2 + 5*x**2 - 4*x**3 wrt x? 6 Let h(z) be the first derivative of 0*z**5 - 5 + 0*z**4 + z**2 + 0*z + 1/6*z**6 + 0*z**3. What is the second derivative of h(a) wrt a? 20*a**3 Differentiate 35 - 17*o**4 - 20*o + o**4 + 20*o with respect to o. -64*o**3 Let c(i) = -i**4 + 9*i**2 - 17*i. Let t(v) = -3*v**2 + 6*v. Let n(b) = 6*c(b) + 17*t(b). What is the third derivative of n(y) wrt y? -144*y Let t(p) = -3*p**2 + 4*p - 1. Let f(b) = -3*b**2 + 3*b. Suppose -k = -6*k + 15. Let r(w) = k*t(w) - 4*f(w). Differentiate r(v) wrt v. 6*v Let c(b) be the second derivative of -6*b**7/7 - b**4/6 - 25*b**3/6 - 38*b. What is the third derivative of c(l) wrt l? -2160*l**2 Let j = 9 + -7. What is the second derivative of 0*s - s**3 - 4*s + j*s wrt s? -6*s Let y(x) = 11*x**2 + 29*x - 4. Let d(l) = -34*l**2 - 87*l + 11. Let b(t) = -4*d(t) - 11*y(t). What is the second derivative of b(s) wrt s? 30 Let u(k) be the third derivative of -k**4/24 - k**3/2 - 3*k**2. Let r be u(-8). Differentiate y + y - 5 - 2 + r wrt y. 2 Let c be (-7)/2*4/(-2). Differentiate 5*a**2 + 8 + 5*a - 5*a - c with respect to a. 10*a Let q(y) = -y**2 - 5*y + 3. Let m be q(-6). Let w be 6/(m/(6/(-4))). What is the third derivative of -3*o**w - 2*o**2 + 0*o**3 + 0*o**2 wrt o? -18 Let x(z) = z**3 - 8*z**2 - 8*z - 7. Let r be x(9). What is the second derivative of -r*w - 20*w**4 + 0*w + 18*w**4 wrt w? -24*w**2 Let u(y) = -y**5 - y**4 + y**2. Let k(o) = -14*o**5 - 11*o**4 + 9*o**2. Let a(p) = -2*k(p) + 22*u(p). Find the third derivative of a(z) wrt z. 360*z**2 Suppose -2*l - 9 = 3*x, -4*x - 14 = l + l. Find the second derivative of 2*t - 2*t - l*t + t**4 + 2*t wrt t. 12*t**2 Let k be 3/(3 - (-6)/(-4)). What is the second derivative of -4*r**2 + 2*r**k - 12*r + 4*r - 7*r**2 wrt r? -18 Let y(n) be the first derivative of 1/2*n**2 + 2 + 4*n. Differentiate y(z) with respect to z. 1 Find the third derivative of -4*r**6 - 2*r - 17*r**2 - 4*r + 8*r + r wrt r. -480*r**3 Let l(d) = d**3 + 6*d**2 - 3. Let q be l(-6). Let s be ((-15)/(-9))/((-1)/q). What is the second derivative of 0*c**3 - c**3 - s*c + 3*c - 2*c**3 wrt c? -18*c Suppose 1 = 2*y - 3. Differentiate -3 - i**2 - 2*i**y + 2 wrt i. -6*i Let w(v) be the first derivative of -5*v**6/2 - 3*v**2/2 - 14. Find the second derivative of w(a) wrt a. -300*a**3 Let a(m) be the second derivative of m**8/840 + m**4/24 - 7*m**3/6 - 8*m. Let t(g) be the second derivative of a(g). What is the derivative of t(i) wrt i? 8*i**3 Let n = 10 - 6. Find the third derivative of 2*b**2 + 0*b**5 + n*b**4 - 4*b**4 + 2*b**5 wrt b. 120*b**2 Let w(s) = -s**2 - 6*s. Let z be w(-6). Suppose 2*x + 5*j + 7 = x, z = 5*x - j - 17. Differentiate -2*v**3 + 0*v**x + 2 + 0*v**3 wrt v. -6*v**2 Let s(i) be the second derivative of i**7/630 - i**6/180 - i**4/3 - 4*i. Let q(l) be the third derivative of s(l). Find the second derivative of q(d) wrt d. 8 Let v = -3 - -6. Suppose 5*l + 5*x - 10 - 15 = 0, l + v*x = 9. Find the second derivative of -3*h**3 + 2*h**l + 2*h + 2*h**3 wrt h. 6*h Suppose 5*x + 6 = 36. Let p(c) = -2*c - 1. Let r(g) = -g - 1. Let a(q) = p(q) - r(q). Let l(u) = -7*u + 3. Let m(o) = x*a(o) - l(o). Differentiate m(y) wrt y. 1 Let v(h) be the third derivative of -5*h**4/24 + h**3/6 + h**2 + 10. What is the derivative of v(a) wrt a? -5 Let g(b) = 0*b + 3*b - 2*b - 3. Let x be g(5). What is the second derivative of d**2 + 2*d**2 - 5*d**x + d wrt d? -4 Let j(b) = 2*b**3 + 15*b**2 - 8. Let y(w) = w**3 + 5*w**2 - 3. Let f(m) = -3*j(m) + 8*y(m). What is the third derivative of f(p) wrt p? 12 Let w = -4 + 8. What is the derivative of 2*u - 3 + 2 - w*u + 4*u wrt u? 2 Find the third derivative of -8*m**6 - 5*m**2 - 2*m**2 + m**6 + 0*m**6 wrt m. -840*m**3 Let j(y) be the first derivative of -72*y**5/5 - 29*y**2 - 58. Find the second derivative of j(u) wrt u. -864*u**2 Let u(b) = -b**4 - 8*b**2 + 2*b. Let c(z) = -9*z - 3*z**4 + 0*z**4 + 33*z**2 + 6*z**4. Let m(s) = -2*c(s) - 9*u(s). Find the third derivative of m(j) wrt j. 72*j Let n(x) = -3*x**2 + 9*x. Let b(g) = 5*g**2 - 17*g. Let c(i) = 2*b(i) + 5*n(i). What is the second derivative of c(m) wrt m? -10 Let o(s) = -4*s**2 - 22*s + 2. Let p(c) = 63*c**2 + 351*c - 33. Let h(g) = 33*o(g) + 2*p(g). Find the second derivative of h(n) wrt n. -12 Let o(y) = y**2 + y. Let n(l) = -7*l**2 - 9*l - 1. Let a(w) = -n(w) - 5*o(w). Let p(x) be the first derivative of a(x). What is the derivative of p(s) wrt s? 4 Let t = -8 + 10. What is the derivative of -2*w + t - 5*w + 3*w wrt w? -4 Find the third derivative of 2*k**4 + 5*k**4 - k**4 - 13*k**2 wrt k. 144*k Let r(v) = 19*v**3 + 8*v**2 - v + 1. Let m(f) = -f + 1. Let q(z) = m(z) - r(z). What is the third derivative of q(s) wrt s? -114 Suppose 4*i = -5*w - 1, -7*w + 8 = -3*w + i. Differentiate 5*v**3 - 4*v**3 - 2 + 4*v**w - 2*v**3 with respect to v. 9*v**2 Find the first derivative of 4*s**2 + 9 - s**3 - 1 + 28*s**3 - 3*s**2 wrt s. 81*s**2 + 2*s Let s(u) = -u**4 - 6*u**2 + u + 6. Let q(f) = -f + 0*f**2 + f**2 - f**4 - 2 + 1. Let o(t) = -6*q(t) - s(t). What is the second derivative of o(m) wrt m? 84*m**2 Let m(v) be the third derivative of v**7/210 - v**5/120 + v**3/2 + 2*v**2. Let f(i) be the first derivative of m(i). Find the second derivative of f(n) wrt n. 24*n Suppose -w - 20 = -6*w. Find the first derivative of w*m - 2*m - 3 + m wrt m. 3 Let l(o) be the first derivative of -2*o**3/3 + o**2/2 + 66*o + 60. What is the first derivative of l(t) wrt t? -4*t + 1 Let d = 4 + -2. Find the second derivative of 6*h**2 + 0*h - 7*h**d + 4*h wrt h. -2 Let w(g) be the third derivative of -11*g**5/20 + g**4/8 + g**3/3 + 2*g**2 - 12*g. Find the second derivative of w(c) wrt c. -66 Let q(m) = 14*m**3 - 30*m**2 + 7*m - 7. Let o(l) = -5*l**3 + 10*l**2 - 2*l + 2. Let h(t) = -7*o(t) - 2*q(t). What is the third derivative of h(w) wrt w? 42 Suppose -l - 2 + 5 = 0. Let y = 15 - 12. Find the third derivative of 5*z - l*z + z**2 - 2*z + y*z**3 wrt z. 18 Suppose 5*x + 4*k + 0 = 6, 5*x + 3*k = 7. What is the third derivative of -2*i**4 - i + i - 4*i**x + 5*i**2 wrt i? -48*i Let s(z) = -12*z**2 - 10*z + 2. Let j(b) = -84*b**2 - 69*b + 15. Let a(u) = -2*j(u) + 15*s(u). Find the second derivative of a(h) wrt h. -24 Let t(n) = -2*n**3 + 7*n**2 + 4*n + 4. Let h(q) = 2*q**3 - 6*q**2 - 5*q - 5. Let u(b) = 4*h(b) + 5*t(b). Find the third derivative of u(a) wrt a. -12 Suppose -6 = -3*y + 2*y. Suppose g = -g + y. What is the first derivative of -2*v**4 + g*v**4 + 1 - 2*v**4 wrt v? -4*v**3 Let i = -9 - -15. Suppose 2*n = -n + i. What is the third derivative of 6*w**6 - 2*w**n - 2*w**6 - 6*w**6 wrt w? -240*w**3 Let r(l) be the second derivative of -l**4 - 2*l**3/3 - 13*l. Find the second derivative of r(y) wrt y. -24 Let u(q) = 5*q**3 - 1. Let s(h) = -5*h**3 + 2. Let l(f) = -f**3 + 5*f**2 - 6*f + 5. Let g be l(4). Let z(m) = g*s(m) - 4*u(m). Differentiate z(n) wrt n. -15*n**2 Suppose -3*z = -5*x + 26, -3*x + 0*z + 10 = z. Suppose -2*r + 22 = r + x*j, -3*j = -12. What is the derivative of -25*h + 3*h**2 + 2 - r*h**2 + 25*h wrt h? 2*h Let s(y) be the second derivative of 5*y**7/42 + 3*y**3 + 8*y. Find the second derivative of s(h) wrt h. 100*h**3 Suppose 5*m = 16 + 14. Suppose 3*x - m = 6. What is the third derivative of l**6 - 2*l**2 + 4*l**4 - x*l**4 wrt l? 120*l**3 Let t(g) = -2*g**5 + 6*g**4 - 12*g**2 + 6. Let s(v) = 3*v**5 - 7*v**4 + 13*v**2 - 7. Let r(p) = 6*s(p) + 7*t(p). Find the third derivative of r(u) wrt u. 240*u**2 Let r(u) be the second derivative of -7*u**6/5 - 29*u**2 + u + 35. What is the derivative of r(o) wrt o? -168*o**3 Find the third derivative of -49 + 5*t**6 + 32 + 3*t**3 - 5*t**4 + t**2 + 5*t**4 wrt t. 600*t**3 + 18 Suppose -5*p + 5 = -h, p - 4*p + 5 = -h. Suppose -q - 4*q = p. What is the third derivative of 2*f**5 - f**2 + 0*f**5 + q*f**2 wrt f? 120*f**2 Let z(w) be the third derivative of w**5/10 - w**3/3 - 4*w**2. Find t
{ "pile_set_name": "DM Mathematics" }
13 + 0 + b*c. Let j be a(9). Round j to the nearest one hundred. 1000 Let n = 0.46167 + -0.464. What is n rounded to four decimal places? -0.0023 Let r = -142728538 + 142728361.999826. Let n = 0.335 - -175.665. Let q = r + n. What is q rounded to five decimal places? -0.00017 Let q = 423.91096 + -415.013. Let n = q + -8.9. What is n rounded to three decimal places? -0.002 Let q = -14 + 14.028. Let b = 2679620 + -2679620.02800138. Let u = q + b. Round u to 7 dps. -0.0000014 Let v = -7699.99993269 + 7700. Round v to 6 dps. 0.000067 Let d = 2143.254 - 2141. Round d to one dp. 2.3 Let k be 11170/4*4/5. Let f be 2 + -2 + -3 + k. Suppose 3*h + 16974 = 5*t - f, -5*t + 12805 = -2*h. What is h rounded to the nearest 1000? -6000 Let d = 24.5 + -26.47. Let f = 2.053 + d. Let r = f + -16.583. What is r rounded to zero dps? -17 Suppose -3*h + 5*j + 10858 = 0, -4*j = 3*h - 10363 - 531. Suppose -h = -4*d + 3294. Round d to the nearest 100. 1700 Suppose -2*x = 3*z + 2*z - 1124, -5*z = 20. Let w be 4/(-12) - (-1 + x/3). Round w to the nearest 10. -190 Let w = -0.0429 - -0.4479. What is w rounded to two dps? 0.41 Let v = -19.03 + 19.035502. What is v rounded to 3 decimal places? 0.006 Let m = 3076 + -3077.257. Round m to one decimal place. -1.3 Let q = -755.9 + 751.127. What is q rounded to 0 dps? -5 Let c = -37.7 + 30. Let q = 73.3 - c. Let l = 89.1 - q. What is l rounded to the nearest integer? 8 Let c = 10.4 - 10.443. Let o = c - 0.165. What is o rounded to two dps? -0.21 Let p = 0.03 + -5.13. Let q = 5.148 + p. Round q to two dps. 0.05 Let l = -346 - -346.000000186. Round l to 7 decimal places. 0.0000002 Let a = 0.067517 + 4.930383. Let f = -5 + a. What is f rounded to 3 decimal places? -0.002 Let d(t) = -t - 8. Let r be d(-4). Let w = r + 11. Let h be ((-40)/(-2))/(w/1365). What is h rounded to the nearest 1000? 4000 Let t = -52004 + 51930.857. Let m = -0.143 - t. Let f = m - 73.00063. What is f rounded to 4 decimal places? -0.0006 Let x(r) = -9. Let p be (-8)/3*36/16. Let b(m) = m. Let o(c) = p*b(c) - x(c). Let n be o(8). Round n to the nearest ten. -40 Let j be ((-300)/(-16))/(5/(-1142400)*-4). Round j to the nearest ten thousand. 1070000 Let x(f) = 3*f**2 + 2*f. Let w be x(1). Suppose -w*c + 3*d = 308056 + 111935, -2*d = 6. Round c to the nearest ten thousand. -80000 Let f = -594.8714 + 595. Round f to two decimal places. 0.13 Let k = 40.12 - 44. Let s = 4 + k. Let p = s + -0.119955. Round p to 5 decimal places. 0.00005 Let j(q) = 138751*q**3 + 2*q**2 - q - 2. Suppose -2*o + 19 - 43 = 0. Let l = -14 - o. Let p be j(l). What is p rounded to the nearest 100000? -1100000 Let p = -105101.9993 + 105086. Let k = p - -16. What is k rounded to 4 decimal places? 0.0007 Let b be (-1 + 93207)*(-514)/4. Suppose -12*i - 25107884 = -16*i. Let x = i + b. Round x to the nearest one million. -6000000 Let j = 299.14 + -302. Let b = 3 + j. Let s = b - 0.1399945. Round s to 6 decimal places. 0.000006 Let t = -0.576999157 - -0.577. Round t to 7 dps. 0.0000008 Suppose -7 = -164*j + 163*j. Suppose -3388570 - 1091430 = j*x. What is x rounded to the nearest one hundred thousand? -600000 Let s = 20.8044 + -20.8. Round s to 3 decimal places. 0.004 Let o = -14.9 + 7. Let r = 8 + o. Let q = -0.100024 + r. What is q rounded to five decimal places? -0.00002 Let i = -642.28 - -648. Round i to one decimal place. 5.7 Let c = 202 + -124. Let p = -78.000099 + c. Round p to 5 dps. -0.0001 Suppose 32672 = -12*j + 176672. Suppose 0 = 21*s - 20*s + j. What is s rounded to the nearest 100000? 0 Let n(l) = 78*l**2 - 11*l - 4. Let k be n(8). Let f be k/21*(1 + 10799). Suppose -f = 7*p - 4*p. What is p rounded to the nearest one hundred thousand? -800000 Let g = 30 - 44.8. Let b = g - -14.80000112. Round b to 6 dps. 0.000001 Let d = 0.16 - 0.33. Let q = -103545 - -103544.830044. Let o = d - q. Round o to 5 dps. -0.00004 Let y = -416 - -1079. Let z = -663.0291 + y. What is z rounded to 3 decimal places? -0.029 Let v = 1982.8 + -1982.7999984721. What is v rounded to seven dps? 0.0000015 Let r = -3.909 + 4.04. Round r to 1 dp. 0.1 Let h = 26.957 - -0.043. Let j = 29.3 - h. Let u = j + -2.299992. What is u rounded to 5 decimal places? 0.00001 Let w = -7737988131 - -7737982354.504999. Let f = w + 5780.495. Let v = 4 - f. What is v rounded to 7 dps? 0.000001 Let g = 3.15 + 4.112. Let x = 0.038 + g. What is x rounded to the nearest integer? 7 Let m = -39.0971 + -0.8929. Let x = m - -40. Round x to three decimal places. 0.01 Let g = 91892 - 91876.99712. Let l = g - 8.00326. Let z = -7 + l. What is z rounded to four decimal places? -0.0004 Let j be (-3 - -1) + 15666 - -2. Let c be (1 + j/9)*-12. Round c to the nearest 1000. -21000 Suppose -5*s + 9*s + 44831 = 3*q, 0 = -4*q + 3*s + 59777. Let o = -4289 + 13344. Let r = q + o. What is r rounded to the nearest 10000? 20000 Let s be (-1)/((-2)/2)*0. Suppose 11*k = 31*k. Suppose l + 2*o + 15298 = s, 3*l + 5*o + k*o + 45895 = 0. Round l to the nearest 1000. -15000 Let n(c) = -c**3 + 6*c**2 + 4. Let j be n(6). Suppose -j*f = 3*l - 72006, -7*l + 4*l + 36006 = 2*f. What is f rounded to the nearest ten thousand? 20000 Let c(l) = 4*l - 15. Let f = -17 + 23. Let d be c(f). Suppose -7*p = -d*p - 51800000. What is p rounded to the nearest one million? -26000000 Let a = -0.0763 - -0.0762995432. Round a to 7 dps. -0.0000005 Let i = -35 + 46. Suppose -i*w + 5*w + 4920000 = 0. What is w rounded to the nearest 100000? 800000 Let y = 1.0935 + -0.922. What is y rounded to 2 dps? 0.17 Let j(r) = 4375*r**3 + 2*r**2 - 10*r + 8. Let a be j(4). What is a rounded to the nearest ten thousand? 280000 Let z = 11963 - -39837. What is z rounded to the nearest one hundred thousand? 100000 Let g = -626.7 - -556. What is g rounded to the nearest 10? -70 Let w = -1.26 + 1.26701. Round w to three dps. 0.007 Let r = -407.09745503 + -0.90601497. Let j = 408 + r. What is j rounded to 3 dps? -0.003 Suppose 80*u - 141120000 = 89*u. What is u rounded to the nearest 1000000? -16000000 Let s(n) = 16*n**3 - 6*n**2 - 3*n - 21. Let m be s(11). Let h be (m/3)/(-2) + (-2)/3. Round h to the nearest 1000. -3000 Let v be 7/(10/(-4) - -2). Let p = v + 13. Let x be ((-76000)/48)/(p/(-960)). What is x rounded to the nearest 100000? -1500000 Let a(q) = 1275002*q + 12. Suppose z + 4*f = -22, 2*z + 0*f = 3*f. Let c be a(z). Round c to the nearest one million. -8000000 Let n = -1728.940075 + 1729. Let a = -0.06 + n. Round a to five decimal places. -0.00008 Let p be -1 + -4*6/(-8). Let h be (-1)/((p + -4)/10). Suppose h*z - z = -12. Round z to the nearest ten. 0 Let l = -494814 + 1062814. Suppose -46*m = -42*m - l. What is m rounded to the nearest ten thousand? 140000 Let v = -8 - -3. Let t = v - -1.2. Round t to the nearest integer. -4 Let m(k) = -37*k + 2. Let u be m(8). Let b = u - -169. Round b to the nearest 10. -130 Let i = -1646 - -3771. Round i to the nearest one hundred. 2100 Let v = -9.64 + 9.649. Round v to three dps. 0.009 Let m = -39.3 + 39.30001476. Round m to 6 decimal places. 0.000015 Let u = 364 - 363.99682. What is u rounded to three decimal places? 0.003 Let u be 0/4 - (1 - 13182). Suppose -u - 37729 = 3*b. Let c = b - -11270. Round c to the nearest 1000. -6000 Let f be (-7 - -9)/(4/74378). Suppose 7195 - f = 3*l. Let c be (l + -2)*(-94 - -2). Round c to the nearest one hundred thousand. 900000 Let g(h) = 5300*h**2 - 2*h + 4. Let t be g(2). Let p = -68200 + t. Round p to the nearest 10000. -50000 Let j = -29.318 - 8.644. Let x = 462 - 424. Let m = x + j. What is m rounded to two dps? 0.04 Let x = -0.037 + -0.463. Let i = -11 - x. What is i rounded to the nearest integer? -11 Let k = 30 - 30.00556. What is k rounded to 3 dps? -0.006 Let n = -19 - -19. Let h be -500684 - (n/2 - 0). Let d = 226684 + h. Round d to the nearest ten thousand. -270000 Let b = 1.1927 + 36.8149. Let n = b - 38. Round n to 3 dps. 0.008 Let p = -7770756 - 85512349. Let i = p - -93283146.00000062. Let h = 41 - i. Round h to 7 decimal places. -0.0000006 Let k = 1.0072 + -1.6671. Round k to 2 decimal places. -0.66 Let j = -162668 + 359668. What is j rounded to the nearest ten thousand? 200000 Let w = -8763170.0232 - -8768696. Let p = w + -5511. Let j = -15 + p. Round j to three dps. -0.023 Suppose 4*b = j - 2697786 - 97608
{ "pile_set_name": "DM Mathematics" }
term of 33879534, 67759072, 101638610? 33879538*p - 4 What is the a'th term of 426479, 852868, 1279257, 1705646? 426389*a + 90 What is the p'th term of -17755, -18513, -19271? -758*p - 16997 What is the i'th term of -1769, -162, 1437, 3022, 4587, 6126? -i**3 + 2*i**2 + 1608*i - 3378 What is the z'th term of -58130482, -116260964, -174391446, -232521928, -290652410? -58130482*z What is the m'th term of -130086, -520336, -1170752, -2081334? -130083*m**2 - m - 2 What is the f'th term of 1974535, 3949099, 5923663, 7898227, 9872791, 11847355? 1974564*f - 29 What is the h'th term of 34242, 34248, 34272, 34326, 34422, 34572, 34788? 2*h**3 - 3*h**2 + h + 34242 What is the b'th term of 20047, 20272, 20581, 20974, 21451, 22012? 42*b**2 + 99*b + 19906 What is the t'th term of 3838, 3800, 3738, 3640, 3494? -2*t**3 - 24*t + 3864 What is the k'th term of -5688, -5709, -5686, -5619, -5508, -5353? 22*k**2 - 87*k - 5623 What is the h'th term of -37182, -37237, -37296, -37359, -37426, -37497? -2*h**2 - 49*h - 37131 What is the a'th term of 1279, 6911, 19613, 42097, 77075, 127259? 452*a**3 + 823*a**2 - a + 5 What is the p'th term of -7481, -7221, -6961? 260*p - 7741 What is the b'th term of 32410, 129665, 291760, 518695, 810470, 1167085? 32420*b**2 - 5*b - 5 What is the o'th term of 5968816, 11937635, 17906454, 23875273, 29844092, 35812911? 5968819*o - 3 What is the z'th term of -54909, -219693, -494333, -878829, -1373181, -1977389, -2691453? -54928*z**2 + 19 What is the j'th term of -75745, -302983, -681725, -1211971, -1893721? -75752*j**2 + 18*j - 11 What is the p'th term of 937, 1715, 3011, 4825, 7157, 10007, 13375? 259*p**2 + p + 677 What is the r'th term of -108739053, -108739046, -108739037, -108739026, -108739013? r**2 + 4*r - 108739058 What is the f'th term of 2440, 11155, 26098, 47269? 3114*f**2 - 627*f - 47 What is the i'th term of 175, -526, -1211, -1880? 8*i**2 - 725*i + 892 What is the o'th term of 109594, 109617, 109640, 109663? 23*o + 109571 What is the p'th term of -16963, -35258, -53557, -71860, -90167, -108478, -126793? -2*p**2 - 18289*p + 1328 What is the y'th term of 5826, 31884, 75314, 136116, 214290, 309836? 8686*y**2 - 2860 What is the b'th term of 794906, 794903, 794900, 794897, 794894, 794891? -3*b + 794909 What is the t'th term of 2607, 1548, 451, -702, -1929, -3248, -4677? -3*t**3 - t**2 - 1035*t + 3646 What is the q'th term of 5701047, 5701057, 5701071, 5701089? 2*q**2 + 4*q + 5701041 What is the s'th term of -3213710, -3213657, -3213604? 53*s - 3213763 What is the v'th term of -1468731, -2937463, -4406195, -5874927, -7343659? -1468732*v + 1 What is the j'th term of 36539, 74484, 112405, 150290, 188127, 225904, 263609, 301230? -2*j**3 + 37959*j - 1418 What is the n'th term of -13391, -15419, -17445, -19469? n**2 - 2031*n - 11361 What is the o'th term of -688, -1303, -1814, -2203, -2452, -2543, -2458? 3*o**3 + 34*o**2 - 738*o + 13 What is the x'th term of 176212, 352407, 528584, 704743, 880884? -9*x**2 + 176222*x - 1 What is the n'th term of 264413, 530880, 797347, 1063814? 266467*n - 2054 What is the l'th term of 586, 2227, 4710, 7825, 11362, 15111, 18862, 22405? -35*l**3 + 631*l**2 - 7*l - 3 What is the w'th term of 2538, 6054, 9570? 3516*w - 978 What is the y'th term of -24358, -25327, -27952, -33061, -41482, -54043, -71572? -138*y**3 - 3*y - 24217 What is the a'th term of -202, 1395, 5758, 14279, 28350? 232*a**3 - 9*a**2 - 425 What is the q'th term of 3781841, 3781669, 3781497? -172*q + 3782013 What is the f'th term of -2260, -4368, -6460, -8542, -10620, -12700, -14788, -16890? -f**3 + 14*f**2 - 2143*f - 130 What is the s'th term of 4590, 9313, 14078, 18891, 23758? s**3 + 15*s**2 + 4671*s - 97 What is the n'th term of -71501, -132914, -194331, -255752, -317177, -378606? -2*n**2 - 61407*n - 10092 What is the y'th term of 24804766, 24804758, 24804750, 24804742, 24804734, 24804726? -8*y + 24804774 What is the l'th term of -20769, -166117, -560643, -1328937, -2595589, -4485189? -20765*l**3 + l**2 + 4*l - 9 What is the w'th term of 17037, 67115, 150569, 267399? 16688*w**2 + 14*w + 335 What is the h'th term of -13134, -13248, -13364, -13482? -h**2 - 111*h - 13022 What is the c'th term of -6278889, -12557779, -18836669, -25115559? -6278890*c + 1 What is the k'th term of -562, -1863, -4040, -7087, -10998, -15767? k**3 - 444*k**2 + 24*k - 143 What is the y'th term of -518347, -1036716, -1555089, -2073466, -2591847? -2*y**2 - 518363*y + 18 What is the p'th term of -154554, -618259, -1391096, -2473065, -3864166? -154566*p**2 - 7*p + 19 What is the n'th term of 474103, 948174, 1422209, 1896208, 2370171? -18*n**2 + 474125*n - 4 What is the n'th term of -32832, -262700, -886680, -2101848, -4105280, -7094052, -11265240, -16815920? -32846*n**3 + 20*n**2 - 6*n What is the i'th term of -346, -2706, -9048, -21346, -41574, -71706, -113716? -329*i**3 - 17*i**2 - 6*i + 6 What is the x'th term of -868, -717, -510, -241, 96, 507, 998? x**3 + 22*x**2 + 78*x - 969 What is the r'th term of 168427, 673697, 1515807, 2694757, 4210547, 6063177? 168420*r**2 + 10*r - 3 What is the m'th term of -6840, -13990, -21140? -7150*m + 310 What is the d'th term of -201330867, -201330869, -201330871, -201330873, -201330875? -2*d - 201330865 What is the t'th term of -8354887, -8354889, -8354891, -8354893? -2*t - 8354885 What is the s'th term of -561, 1393, 4629, 9153, 14971, 22089, 30513, 40249? s**3 + 635*s**2 + 42*s - 1239 What is the x'th term of 80074333, 80074328, 80074319, 80074306, 80074289, 80074268? -2*x**2 + x + 80074334 What is the a'th term of 153952683, 307905367, 461858051, 615810735, 769763419, 923716103? 153952684*a - 1 What is the w'th term of 661229, 2644913, 5951051, 10579643, 16530689, 23804189? 661227*w**2 + 3*w - 1 What is the y'th term of 4442204, 4442206, 4442208, 4442210, 4442212? 2*y + 4442202 What is the d'th term of -1482315, -5929261, -13340837, -23717043? -1482315*d**2 - d + 1 What is the m'th term of -36131, -144100, -324041, -575948, -899815? m**3 - 35992*m**2 - 140 What is the a'th term of 78893, 79731, 80583, 81455, 82353, 83283? a**3 + a**2 + 828*a + 78063 What is the n'th term of 211441, 211427, 211413, 211399, 211385? -14*n + 211455 What is the b'th term of 149897, 149878, 149835, 149756, 149629, 149442, 149183? -2*b**3 - 5*b + 149904 What is the z'th term of 37847, 75533, 113061, 150431? -79*z**2 + 37923*z + 3 What is the b'th term of 301, 1252, 2865, 5158, 8149? 3*b**3 + 313*b**2 - 9*b - 6 What is the x'th term of 298977, 299504, 300031? 527*x + 298450 What is the r'th term of -106926, -426427, -958928, -1704429, -2662930, -3834431, -5218932? -106500*r**2 - r - 425 What is the b'th term of 75224, 150548, 225872? 75324*b - 100 What is the g'th term of 42226, 43235, 44244? 1009*g + 41217 What is the d'th term of -76822, -76127, -75434, -74743? -d**2 + 698*d - 77519 What is the p'th term of -4938, -159, 4634, 9447, 14286, 19157, 24066, 29019? p**3 + p**2 + 4769*p - 9709 What is the d'th term of -148184, -147463, -146740, -146015, -145288? d**2 + 718*d - 148903 What is the z'th term of 8339, 14999, 21659, 28319, 34979? 6660*z + 1679 What is the d'th term of -201782, -403535, -605264, -806969? 12*d**2 - 201789*d - 5 What is the w'th term of -3444, -20496, -48914, -88698, -139848, -202364, -276246? -5683*w**2 - 3*w + 2242 What is the y'th term of -12871, -25234, -37597? -12363*y - 508 What is the s'th term of 282828, 1124137, 2526318, 4489371, 7013296, 10098093? 280436*s**2 + s + 2391 What is the x'th term of 558913, 558912, 558911? -x + 558914 What is the c'th term of 2640, 5138, 7480, 9666? -78*c**2 + 2732*c - 14 What is the c'th term of 26755, 26366, 25977, 25588? -389*c + 27144 What is the c'th term of -2207, -5496, -9871, -15332, -21879, -29512, -38231? -543*c**2 - 1660*c - 4 What is the u'th term of -45345, -90610, -135789, -180882, -225889, -270810, -315645? 43*u**2 - 45394*u + 6 What is the l'th term of -574639, -1149264, -1723889, -2298514? -574625*l - 14 What is the g'th term of -663729, -2654956, -5973683, -10619910, -16593637? -663750*g**2 + 23*g - 2 What is the r'th term of 163142, 163247, 163352, 163457? 105*r + 163037 What is the v'th term of 30203155, 60406312, 90609469, 120812626, 151015783? 30203157*v - 2 What is the b'
{ "pile_set_name": "DM Mathematics" }
q)? 2*q**3 Suppose 5*s - 31 = 4. Let v(l) = l**3 - 6*l**2 - 7*l + 2. Let b be v(s). Let i(h) = b - 3 + 0. Let a(o) = -o - 1. Give -a(c) + i(c). c Let t(p) = 4 - 5*p + 3 + 6*p. Let f(m) = -m - 6. Give -6*f(z) - 5*t(z). z + 1 Let s(b) be the first derivative of 8*b**3/3 + 9*b**2/2 - 8. Let u(r) = -7*r**2 - 8*r. Determine -5*s(d) - 6*u(d). 2*d**2 + 3*d Let a(d) = -3*d - 8. Let w(s) = 7*s + 15. What is -9*a(p) - 4*w(p)? -p + 12 Let o(q) = 4*q. Let m(r) = r. Let v(b) = b**3 - 9*b**2 + 8*b + 1. Let y be v(8). What is y*o(t) - 3*m(t)? t Let p(v) = v**3 - 4*v**2 - 5*v + 6. Let j be p(5). Let r(d) = d**2 - 3*d - 1. Let t(q) = -11*q - 2 + 16*q**2 - 2 - 12*q**2 + 0. What is j*t(s) - 22*r(s)? 2*s**2 - 2 Let z(m) = -8*m**2 - 3*m. Let v(c) = -120*c**2 - 44*c. Calculate 6*v(i) - 88*z(i). -16*i**2 Let h(g) = 3*g - 2. Let q(x) = 5*x - 2. Calculate 2*h(k) - 3*q(k). -9*k + 2 Suppose 0 = 7*d - 5*d - 6. Let w(p) be the first derivative of 1 - 2/3*p**d + p + 1/2*p**2. Let a(m) = m**2 - 1. What is 3*a(q) + 2*w(q)? -q**2 + 2*q - 1 Let g(t) = 25*t - 17. Let m(o) = 3*o - 2. Suppose -109 - 29 = 3*x. Let w = x - -97. Determine w*m(v) - 6*g(v). 3*v Let h(i) = -1. Let v(q) = -q**3 - 6*q**2 + 5. What is 5*h(w) + v(w)? -w**3 - 6*w**2 Let d(a) = a. Let y(x) = -127*x**2 + 635*x. What is 635*d(i) - y(i)? 127*i**2 Let f(v) = 3*v - 14. Let p(y) = y**2 + 16*y - 70. What is -11*f(q) + 2*p(q)? 2*q**2 - q + 14 Let i(l) = 13*l**3 - 9*l - 7. Let k(f) = 3*f - 1 - 5*f + 3*f + f. Let h be k(5). Let o(v) = 6*v**3 - 4*v - 3. What is h*o(c) - 4*i(c)? 2*c**3 + 1 Let h(t) = -2*t + 11. Let r(z) = 2*z - 12. What is -5*h(g) - 4*r(g)? 2*g - 7 Let i(y) = y**3 + y**2 - 1. Let x(c) = 6*c**2 - 8*c - 12. Let r(a) = -a - 1. Let p(g) = -8*r(g) + x(g). What is -3*i(b) + p(b)? -3*b**3 + 3*b**2 - 1 Let d(v) = 6*v**3 - 4*v**2 + 4*v - 4. Let j(m) = -m**2 + m - 1. Give -d(r) + 4*j(r). -6*r**3 Let v(g) = 4*g**3 - 3*g**2 + 3*g + 3. Let p(n) = n**2 + 5*n + 2. Let k be p(-4). Let j(c) = 3*c**3 - 2*c**2 + 2*c + 2. Give k*v(r) + 3*j(r). r**3 Let x(q) = -q**2 - q - 1. Suppose -6*v - 11 = -5*p - 2*v, 0 = -3*p + 3*v + 9. Let d(c) = -6*c**2 - 7*c - 5. Determine p*d(u) + 5*x(u). u**2 + 2*u Let z(c) = -c**2 - 3*c - 3. Let l be 0 + -1 - (-5 + 2). Suppose -4*h = -5 - 3. Let y(p) = -1 + 0 - h*p - 1. Calculate l*z(x) - 3*y(x). -2*x**2 Let k(v) = -41*v + 39*v + 3*v**2 - 5 - v**2. Let w(h) = h + h - 1 + 5 - 2*h**2. Give 2*k(p) + 3*w(p). -2*p**2 + 2*p + 2 Let c(u) = -22*u**3 + 12*u + 2. Let o(x) be the first derivative of 9*x**4/4 - 5*x**2/2 - x - 3. Let v = 9 + -14. Calculate v*c(b) - 12*o(b). 2*b**3 + 2 Let d(x) = -x. Let k(w) = -6*w + 4. Determine -3*d(z) + k(z). -3*z + 4 Let y(h) = -h**3 + 5*h**2 - 2*h + 3. Let s(w) = -2*w**3 + 6*w**2 - 3*w + 4. Determine 3*s(o) - 4*y(o). -2*o**3 - 2*o**2 - o Let g(j) = -2*j - 5. Suppose 5*o - 3*c = 47, 3*o - 34 = c - 5*c. Let d(y) = -1. What is o*d(m) - 2*g(m)? 4*m Let a(v) be the second derivative of -v**4/12 + v**3/6 + v**2/2 + v. Suppose -4*b = -0*b + 4. Let t(k) = 6*k**2 - 6*k - 4. Give b*t(l) - 4*a(l). -2*l**2 + 2*l Let x(b) = -3 + 1 + 0. Let u(j) = j - 4. Suppose 5*l + 13 = 3. Determine l*u(n) + 3*x(n). -2*n + 2 Let f(v) = -15*v**2 + v + 2. Let h(n) = 29*n**2 - 2*n - 5. Give -5*f(g) - 2*h(g). 17*g**2 - g Let h(j) = j - 1. Let w(c) be the third derivative of -c**4/12 + c**3/3 - 8*c**2. Let n = -17 + 14. Give n*h(r) - w(r). -r + 1 Let p(k) = -k**3 + 3*k**2 + 3*k + 1. Let d(w) = 2*w**3 - 10*w**2 - 9*w - 3. Give 2*d(a) + 7*p(a). -3*a**3 + a**2 + 3*a + 1 Let p(i) = -5*i**2 + 7*i. Let d(q) be the second derivative of -q**4/6 + q**3/2 - 3*q. Suppose -2*u = -0*c + 2*c + 34, -u + 2*c = 8. Determine u*d(n) + 6*p(n). -2*n**2 Let f(g) = -4*g + 6. Let o(p) = -1. Calculate -f(d) - 3*o(d). 4*d - 3 Let o(m) = -5*m**3 - 6*m**2 - 4*m + 4. Let l(f) = -6*f**3 - 7*f**2 - 5*f + 5. Determine -4*l(d) + 5*o(d). -d**3 - 2*d**2 Suppose 0 = -6*x + 10*x + 4. Let t(g) be the first derivative of g**2/2 + g - 1. Let n(k) = -k**3 + 4*k + 4. Determine x*n(u) + 4*t(u). u**3 Let v(n) = 51*n. Let j(b) = 17*b. Determine -7*j(a) + 2*v(a). -17*a Let m(x) = -9*x**2 + 10. Let a(q) = -4*q**2 + 5. Determine 7*a(l) - 3*m(l). -l**2 + 5 Let k(n) = 3*n + 9. Let x(u) = u + 3. Let b(r) = -2*k(r) + 7*x(r). Let g be (-22)/(-6) + 4/(-6). Let h(p) = -2*p - 4. Let w = -4 + 6. Determine g*b(t) + w*h(t). -t + 1 Let c = -35 - -66. Let x = c + -19. Let s(y) = -10*y**2 + 12. Let m(l) = -4*l**2 + 5. Determine x*m(d) - 5*s(d). 2*d**2 Let c(j) = 2*j + 2. Let x(y) = -8*y - 8. Calculate -9*c(p) - 2*x(p). -2*p - 2 Let t(k) = -4*k**2 + 3*k - 1. Let c(h) = -4*h**2 + 2*h - 2. Calculate 4*c(f) - 3*t(f). -4*f**2 - f - 5 Let g(n) = 2*n**2 - 15*n - 4. Let m(b) = -b**2 + 8*b + 2. Give -4*g(l) - 7*m(l). -l**2 + 4*l + 2 Let d(w) = w - 3. Suppose 8*n = 4*n - 12. Let c(r) = -1. Let a(t) = n*c(t) + d(t). Let z(x) = 2*x**3 - 2*x - 2. Give -2*a(b) - z(b). -2*b**3 + 2 Let l(k) be the first derivative of -3*k**2/2 - 2*k + 7. Let y(g) = 3*g + 2. Calculate -5*l(n) - 6*y(n). -3*n - 2 Let f(i) = -i**2 + i + 1. Let z = -11 + 16. Let d(g) = -g - 4*g**2 + 5*g + 0*g. Let q(s) = z*f(s) - d(s). Let t(l) = -1. Give -q(r) - 5*t(r). r**2 - r Let o(u) = u**3 + 5*u + 3. Let l(t) = -2*t**3 - 6*t - 4. Let y = 15 + -18. Give y*l(n) - 4*o(n). 2*n**3 - 2*n Let r(n) = 5*n**2 - 5*n - 2. Let w(z) be the first derivative of -z**3/3 + z**2/2 + z + 37. Determine r(s) + 4*w(s). s**2 - s + 2 Let h(z) = -4*z**3 + 5*z**2 - 11. Suppose -7*b - 5 - 72 = 0. Let t(c) = 2*c**3 - 3*c**2 + 6. Calculate b*t(f) - 6*h(f). 2*f**3 + 3*f**2 Let s(b) be the third derivative of -b**6/40 + b**5/20 - b**4/8 + b**3/2 + b**2 + 10. Let y(p) = 0 + 0 - p + p**2 + 1. Give -s(n) + 3*y(n). 3*n**3 Let k(n) = 5*n**3 - 4*n**2 + 7*n - 7. Let x(t) = -4*t**3 + 3*t**2 - 6*t + 6. Give 3*k(p) + 4*x(p). -p**3 - 3*p + 3 Let p(a) = -a - 1. Let n(t) = 2*t**2 + 23*t + 12. Let s be n(-11). Let b(w) = w + 2. Give s*b(h) + 3*p(h). -2*h - 1 Let k(u) = -7*u - 1. Let f(v) = -6*v - 2. Determine 4*f(z) - 3*k(z). -3*z - 5 Let g(k) = k - 3. Let u be g(5). Let w(j) = 4*j**2 - 3*j + 2. Let n(f) be the third derivative of f**5/60 - f**4/24 + f**3/6 - 10*f**2. Determine u*n(h) - w(h). -2*h**2 + h Let y(t) = -7*t**2. Let n(d) = -57*d**2. Suppose -17 = -4*g + i, -i = -5*g - 5 + 26. Give g*n(o) - 33*y(o). 3*o**2 Let z be (42/(-15) + 3)*5. Let s be 4 + -5 - (z - 5). Let p(r) = 2*r**2 - 3. Let c(w) = -4 + 5*w**2 - 3*w**2 + 0*w**2. Calculate s*c(l) - 4*p(l). -2*l**2 Let i(a) = 6*a + 9. Let u(t) = -14 + 33*t - 23*t - 19*t. Give -8*i(w) - 5*u(w). -3*w - 2 Let f(p) = -4*p**2 + 15*p - 9. Let k(g) = -2*g**2 + 8*g - 5. Give -6*f(y) + 11*k(y). 2*y**2 - 2*y - 1 Let a(b) = b - 1. Let u(g) = 5 + 1 - 35*g + 32*g. Determine -2*a(o) - u(o). o - 4 Let s(p) be the first derivative of -4*p**3/3 + 3*p**2 + 3*p + 23. Let f(a) = -3*a**2 + 5*a + 2. What is -5*f(k) + 4*s(k)? -k**2 - k + 2 Let z(h) = -h**2 - h + 1. Let x(d) = -d**3 - 2*d**2 - 2*d + 2. Let l(u) = u**2 - u - 21. Let t be l(5). Determine t*x(v) + 2*z(v). v**3 Let j(m) = -4*m**2 - 7*m - 7. Let g(l) = 3*l**2 + 6*l + 6. What is -3*g(s) - 2*j(s)? -s**2 - 4*s - 4 Let p(m) = -9*m**2 - 7*m + 5. Let g(s) = 5*s**2 + 4*s - 3. Determine -5*g(o) - 3*p(o). 2*o**2 + o Let l be 3 - (9/1)/3. Let z(x) = l*x + 3*x**2 - 2 - x - x + 1. Let n(f) = 10*f**2 - 6*f - 4. Suppose 4*t = -30 + 2. Determine t*z(p) + 2*n(p). -p**2 + 2*p - 1 Suppose 5*s - 4 = 3*w, -w - 40 = 2*w + 4*s. Let o(i) = 3*i + 3. Let b(a) = 2*a + 2. What is w*b(y) + 5*o(y)? -y - 1 Let k(l) = l**2 + 5*l + 1. Let c be k(-5). Let z(p) = -p**3 + p**2. Let q(g) be the second derivative of 3*g**5/10 - g**4/3 - g**2/2 + g. Give c*q(i) + 4*z(i). 2*i**3 - 1 Suppose -k = -2 + 1. Let i(v) = -5*v**2 + 2*v - 1. Let u be i(k). Let d(h) = -2*h - 3. Let a(s) = -s - 2. Give u*a(q) + 3*d(q). -2*q - 1 Let f(q) = q**3 - 5*q**2 - 5*q - 5. Let d(k) = k**3 - 4*k**2 - 4*k - 4. Suppose -38*c + 41*c - 12 = 0. Calculate c*f(r) - 5*d(r). -r**3 Let s(m) = 2*m**3 + 2*m - 3. Let a(x) be the third derivative of x**6/120 + x**4/24 - x**3/6 - x**2. Let f = 61 + -64. What is f*a(p) + s(p)? -p**3 - p Let l(d) = -6*d**3 + 5*d**2 - 3*d - 3. Let q(k) = k**3 + k + 1. What is l(b) + 3*q(b)? -3*b**3 + 5*b**2 Let i(l) = -3*l - 7. Let d(r) = -7*r - 13. Let w(y) = 2*d(y) - 5*i(y). Let q(f) = -3. Let m(x) = -
{ "pile_set_name": "DM Mathematics" }
-1.555. Let n = b - -801.17. What is n rounded to zero decimal places? -7 Let u = 12.3 + 45.05. Let t = 33 - u. Round t to zero decimal places. -24 Suppose 0 = 4*w - 4*a + 4721200, 2*w = -7*a + 10*a - 2360602. Let q = w + 1702498. What is q rounded to the nearest 100000? 500000 Let b = 380.8 - 380.4981. Let g = -0.297 + b. What is g rounded to 3 dps? 0.005 Let u = -406 - -286. Let k = u + 59. Let d = -60.99917 - k. What is d rounded to four dps? 0.0008 Let k = -20455.999977137 + 20456. Round k to six dps. 0.000023 Let u = 3.639056 + 150.353644. Let q = -151.01 - 2.99. Let c = q + u. What is c rounded to three dps? -0.007 Let z = 0.2859 + -0.0339. Let i = 10.018 + z. What is i rounded to 0 decimal places? 10 Suppose -2225 - 183 = -4*d. Let a be (d/(-21))/((-4)/(-42)). Let q = -185 - a. What is q rounded to the nearest 10? 120 Let g = 1234303 + -3500503. Round g to the nearest ten thousand. -2270000 Let m = -119.342 - -84.693. Let n = -34.3 - m. Round n to one decimal place. 0.3 Let b = -4377 + 4377.2701. Let v = b + -0.27008433. What is v rounded to 6 dps? 0.000016 Let d = 27429.7095 + -27386. Let z = d - 20.7076. Let j = -23 + z. What is j rounded to 3 dps? 0.002 Let l = -7.151 + 10.54. Round l to 0 decimal places. 3 Let m = 83.0472 - 83. Let s = m + -0.04361. What is s rounded to three decimal places? 0.004 Let v be (2/4)/((-8)/(-400)). Suppose 0 = -v*k - 6142 - 14058. Round k to the nearest 100. -800 Let t = -12857.968814 + 12858. What is t rounded to four dps? 0.0312 Let x = 82.4 - 74. Let b = x - -25.6. Let o = -34.9 + b. What is o rounded to zero decimal places? -1 Let w = 0.05153 + -1189.55153. Round w to the nearest 10. -1190 Let l = -8.994 + 8.994000278. Round l to seven decimal places. 0.0000003 Suppose -25 = -w + 2*j, 3*w = -8*j + 12*j + 77. Let a be 8/36 + 2051994/w. What is a rounded to the nearest 10000? 80000 Suppose 30*c - 35*c + 4*i + 371000000 = 0, 2*i - 148400000 = -2*c. What is c rounded to the nearest 1000000? 74000000 Let g = -792 - -855.08. What is g rounded to 0 dps? 63 Let z = -5808 - -22403. What is z rounded to the nearest 1000? 17000 Let p = -2.938 - -2.9406334. Round p to 4 decimal places. 0.0026 Let s = 31.62 + -30.6. Let t = s - 1.01275. Round t to three decimal places. 0.007 Let l = -41694 - -41693.18772. What is l rounded to 2 dps? -0.81 Let n = 7657 - 7673.082. Let h = -0.082 - n. Let u = h + -15.99999965. What is u rounded to seven dps? 0.0000004 Let r be (5 + -2)/(-3) - -3. Let b(c) = 64*c**3 + 4*c**2 - 3*c + 3. Let z be b(r). Round z to the nearest 10. 530 Let y = -4111 + -17454. Let s = -8765 - y. What is s rounded to the nearest ten thousand? 10000 Let v = 6464 + -6463.951552. What is v rounded to 3 dps? 0.048 Let u = -2.55 + 0.77. Let q = u + 1.7799933. Round q to 6 dps. -0.000007 Let j = -338832 + 197333. Let y = 141498.700019 + j. Let c = 0.3 + y. What is c rounded to six decimal places? 0.000019 Suppose 4*o + 254096 = -r - 468062, 2*o - 5*r = -361090. Round o to the nearest ten thousand. -180000 Let n = 4971 + -4962.6075. Let r = -8.13 + n. What is r rounded to one dp? 0.3 Let f = -106.1193523 - -106.12. What is f rounded to four decimal places? 0.0006 Let o = -11724 - -9706.6. What is o rounded to the nearest one hundred? -2000 Let d = 186.721 + 8.709. Let v = d + 16.11. Let z = v - 214. Round z to one dp. -2.5 Let s = 13.74 - 13.163. Let a = 0.57764 - s. What is a rounded to 4 decimal places? 0.0006 Suppose 19 = 2*p + 9. Let u be p/((-15)/(-12)) - -4996. Suppose 16*x - 18*x = u. What is x rounded to the nearest 1000? -3000 Let m = -0.363 - 178.637. Let b = m - -105. Let r = -74.0000066 - b. Round r to 6 decimal places. -0.000007 Let l = 0.43449 + -0.43370892. Round l to five decimal places. 0.00078 Let v = -149 + 96. Let a = -52.8 - v. Let q = a - -0.3. Round q to 1 decimal place. 0.5 Let m = -559146 - -5606201. Let k = -5047141.99902 + m. Let t = k + 87. What is t rounded to four dps? 0.001 Let q = 0.07175 + 9.44365. Round q to one dp. 9.5 Let x(b) = 180247*b**2 - b + 2. Suppose 5*m - 9*m = 72. Let u be (m/(-4))/((-15)/(-30)). Let h be x(u). Round h to the nearest one million. 15000000 Suppose -3*i + 4*b + 197 = 0, -8*i + 3*i + 320 = -5*b. Suppose 70080 = i*a - 47*a. What is a rounded to the nearest 1000? 6000 Let b = -117 + 114.4. Let s = b + 2.600081. Round s to 4 dps. 0.0001 Let q = -83041.035121 - -83041. What is q rounded to three decimal places? -0.035 Let d = -252.3 - 19.7. Let h = d - -272.000002256. What is h rounded to seven dps? 0.0000023 Let k = 350.9 + -870.6. Let l = k - -658. Round l to the nearest ten. 140 Let a = 799787 + -800706.338. Let g = a + 918. Let c = g - -1.4. What is c rounded to 2 dps? 0.06 Let t = -353.614 + -0.386. Let v = t - -358.44. What is v rounded to 1 decimal place? 4.4 Suppose 0 = k + 107 + 250. Let p = 217 + k. Let z = p - -99. What is z rounded to the nearest 10? -40 Let u = -63.11 + 1.11. Let i = 62.38 + u. Let o = -0.380000672 + i. Round o to seven dps. -0.0000007 Suppose -3*r - 3*m + 21 = 0, 0 = -2*r - 3*m - 0 + 15. Let b be (-192080056)/196 + r/21. Round b to the nearest one hundred thousand. -1000000 Let f = 12034 + -12034.0003749. Round f to five dps. -0.00037 Let b = 23.6415138 - -18.9585554. Let t = b + -42.6. What is t rounded to five dps? 0.00007 Let r = 23.29 - 24. Let h = -8636715 - -8636715.7099874. Let u = r + h. What is u rounded to five decimal places? -0.00001 Let b = 6082 - 6082.007708. What is b rounded to 3 dps? -0.008 Let z = 0.248706 - 0.2838. What is z rounded to three dps? -0.035 Let f = 5308 - 5308.0000006143. Round f to seven decimal places. -0.0000006 Let q(r) = -4*r + 2. Let c be q(-1). Suppose -c*w + 2*w = -8. Let z be (0 + w)/(-2) + -10 + -399989. Round z to the nearest 100000. -400000 Let k be 105299989/3 + (-12)/36. Suppose -5*a - 4*o + 58500008 = 0, 0*o = -3*a + 2*o + k. What is a rounded to the nearest 1000000? 12000000 Let j = 17868427 - 17868730.99678. Let h = j + 304. Round h to three decimal places. 0.003 Let w be (-9810 + -1)/(2/(-692)) + -1. Let k = 15858872 + -10804267. Let m = w - k. What is m rounded to the nearest 100000? -1700000 Let d = -172.6 + 173. Let h = 0.57575 - 0.17588. Let t = d - h. Round t to five dps. 0.00013 Let j = -8.6 - 1.1. Let k = j + 9.7008. What is k rounded to 5 dps? 0.0008 Let v = -54.588 - -55. Let t = -0.854 + v. What is t rounded to one decimal place? -0.4 Let i = 217034.072 + -83969.8061. Let r = 133087.26589908 - i. Let f = -23 + r. Round f to seven decimal places. -0.0000009 Let i = 241737 + -501317. What is i rounded to the nearest ten thousand? -260000 Let c(z) = -z. Let l be c(-10). Let k = l + -12. Let n be 2436000/(-9)*(k + 17). Round n to the nearest one million. -4000000 Let n = 2687 + -2712.092. Round n to one decimal place. -25.1 Suppose -40 = -x - 7*x. Suppose 2*y = -4*p + 3*y + 3, 5*p = x*y - 15. Suppose 4*s + 3*c + 1939 = -2*c, -3*c = p*s + 971. Round s to the nearest 100. -500 Let g(s) = -190801*s**2 - 19*s - 7. Let b be g(-9). Let y = b - -40054717. Round y to the nearest one million. 25000000 Let v = 19.127992059 - 19.128. What is v rounded to seven dps? -0.0000079 Let c = 8512 + -8512.00006918. What is c rounded to six decimal places? -0.000069 Let y(j) = -6*j + 26 + j**2 - 16 - 16. Let v(o) = 2*o**2 - 3*o - 5. Let x be v(4). Let z be y(x). What is z rounded to the nearest 10? 130 Let b(t) = 769*t**2 + 3*t + 80. Let m(z) = -770*z**2 - 3*z - 82. Let i(r) = -6*b(r) - 5*m(r). Let x be i(10). What is x rounded to the nearest ten thousand? -80000 Let r = 65446.1 + -65450.958985. Let c = 4.86 + r. What is c rounded to 4 decimal places? 0.001 Let w = 513916 - 513503.223. Let f = 409.8 - w. Round f to 1 decimal place. -3 Suppose 38*d = 26*d + 528. Suppose d*f = 22*f + 40480. Round f to the nearest one hundred. 1800 Let x = 1482.3663 - 1481.3. What is x rounded to two decimal places? 1.07 Let z be (-2 - 46)*21/((-756)/10929000). What is z rounded to the nearest 1000000? 15000000 Let v = -240 + 187. Let a = v - -22.8. Round a to the nearest integer. -30 Let x be (0 + -1)/((-1)/5). Suppose -2*t = -v - 17, v = 3*t - 123 + 96. Let d be 2/t + x/(50/(-4060002)). What is d rounded to the nearest one hundred thousand? -400000 Let f = 1920 - 1920.71. What is f rounded to 1 decimal pla
{ "pile_set_name": "DM Mathematics" }
at is the greatest common factor of 68900748 and 1722? 42 Calculate the highest common divisor of 41832162 and 846. 846 Calculate the greatest common factor of 2583 and 19824. 21 What is the highest common divisor of 96 and 17477052? 12 What is the highest common factor of 10193944 and 148? 148 Calculate the greatest common divisor of 7080 and 8531695. 295 Calculate the highest common divisor of 2355392 and 6156. 76 What is the greatest common divisor of 3778525 and 25? 25 Calculate the greatest common factor of 1521 and 3012763. 169 Calculate the greatest common divisor of 996646497 and 1302. 651 Calculate the highest common divisor of 27813 and 173448. 219 Calculate the highest common divisor of 2789380 and 660. 220 Calculate the greatest common divisor of 4172311 and 7007. 143 What is the highest common divisor of 65 and 713973? 13 What is the highest common factor of 6170 and 4920? 10 Calculate the highest common factor of 4829755 and 140. 35 What is the highest common factor of 3186 and 11898? 18 Calculate the greatest common factor of 726 and 32606761. 11 What is the greatest common factor of 9492 and 1902468? 1356 Calculate the greatest common factor of 3258253 and 75151. 223 Calculate the greatest common divisor of 4014108 and 15232. 476 What is the highest common divisor of 788 and 3227057? 197 What is the highest common factor of 12 and 128443998? 6 Calculate the highest common divisor of 52600090 and 70. 10 Calculate the highest common divisor of 10154928 and 231. 21 Calculate the highest common divisor of 5576179 and 427651. 1393 What is the highest common factor of 567 and 310740192? 189 What is the greatest common divisor of 18262546 and 137102? 2798 What is the greatest common factor of 936 and 14952834? 234 What is the highest common factor of 1035814800 and 1200? 1200 What is the greatest common divisor of 2511 and 5216319? 81 Calculate the greatest common divisor of 550 and 28169075. 275 Calculate the greatest common factor of 1533005415 and 45. 45 What is the highest common factor of 52287 and 768679? 601 Calculate the greatest common factor of 140 and 9881970. 70 What is the greatest common divisor of 28659 and 2762681? 233 What is the highest common divisor of 25524790 and 180? 10 What is the greatest common divisor of 186578292 and 2764? 2764 What is the greatest common factor of 4905 and 70761165? 1635 Calculate the greatest common factor of 60 and 52613400. 60 Calculate the highest common factor of 8984196 and 900. 36 What is the highest common factor of 166608 and 5627025? 801 What is the highest common divisor of 2522097666 and 33? 33 What is the greatest common factor of 2842 and 32268474? 406 Calculate the greatest common divisor of 18428 and 964580. 68 What is the highest common factor of 1921 and 950640? 17 Calculate the highest common divisor of 21 and 2153963. 7 Calculate the greatest common divisor of 1446303274 and 26. 26 Calculate the greatest common factor of 63250 and 1585375. 1375 What is the highest common factor of 2874713 and 4537? 349 What is the highest common divisor of 34875408 and 277? 277 What is the highest common factor of 667738 and 3014? 274 What is the greatest common divisor of 36418580 and 91784? 6556 What is the greatest common divisor of 173277670 and 2650? 530 What is the highest common factor of 12282277 and 142411? 2687 What is the greatest common factor of 467978 and 8456? 14 What is the greatest common divisor of 273 and 316533? 21 Calculate the highest common factor of 838355255 and 17085. 5695 What is the highest common factor of 597617 and 41907? 61 Calculate the highest common divisor of 23470 and 204370. 10 Calculate the highest common divisor of 10415625 and 125. 125 What is the greatest common factor of 389950 and 1098350? 550 What is the highest common factor of 624 and 13360880? 208 What is the highest common divisor of 88482060 and 1413? 1413 Calculate the greatest common factor of 53146522 and 15895. 3179 Calculate the highest common divisor of 981640 and 41710. 970 Calculate the greatest common factor of 294 and 117319377. 147 What is the highest common factor of 38310 and 27427406? 2554 Calculate the greatest common divisor of 232562 and 59334. 682 Calculate the greatest common factor of 30609620 and 4020. 1340 Calculate the highest common factor of 9420 and 30452976. 1884 What is the greatest common factor of 215286815 and 285? 95 What is the highest common divisor of 466 and 24873682? 466 What is the greatest common divisor of 80 and 27350320? 80 What is the greatest common divisor of 152 and 11686184? 8 What is the greatest common divisor of 14853502 and 148? 74 Calculate the greatest common divisor of 96 and 7266648. 24 Calculate the highest common factor of 198 and 10565082. 198 What is the greatest common divisor of 101171 and 195041? 1043 What is the greatest common divisor of 158432400 and 900? 900 Calculate the highest common divisor of 25837468 and 4544. 284 What is the highest common divisor of 8207181 and 1474674? 6891 Calculate the greatest common factor of 26487 and 22269899. 109 Calculate the highest common factor of 652995 and 81. 27 What is the highest common divisor of 2141516 and 22620? 52 Calculate the highest common divisor of 225590 and 2620. 10 What is the highest common factor of 741520 and 68848? 208 What is the highest common factor of 8421 and 47439? 21 What is the greatest common factor of 146781 and 2350? 47 Calculate the highest common divisor of 486 and 894078. 162 What is the greatest common divisor of 10262 and 661402? 14 Calculate the greatest common divisor of 19558449 and 306. 153 What is the highest common divisor of 2178 and 14025110? 242 Calculate the highest common divisor of 37340 and 450. 10 Calculate the highest common factor of 187708622 and 74. 74 What is the greatest common factor of 40 and 654607900? 20 Calculate the greatest common divisor of 255 and 19134792. 51 Calculate the greatest common factor of 168943096 and 3248. 1624 Calculate the greatest common factor of 99 and 196262484. 33 Calculate the highest common factor of 222774 and 5778. 642 Calculate the greatest common factor of 2414448 and 4104. 216 Calculate the highest common factor of 2202 and 79874247. 1101 What is the greatest common divisor of 537361 and 946? 11 What is the highest common factor of 7333376 and 24? 8 What is the greatest common factor of 228 and 31456989? 57 Calculate the greatest common factor of 342 and 15599484. 18 Calculate the greatest common factor of 1028056 and 1029257. 1201 Calculate the highest common factor of 29200 and 397200. 400 What is the greatest common divisor of 3002869 and 79? 79 What is the greatest common factor of 431028 and 321122? 614 Calculate the greatest common divisor of 7907060 and 30. 10 What is the highest common divisor of 360 and 2683536? 24 What is the highest common factor of 218 and 485706725? 109 What is the highest common divisor of 217 and 2609270? 31 What is the greatest common factor of 1323920 and 2178540? 4940 What is the greatest common divisor of 15066968 and 449288? 6328 Calculate the greatest common divisor of 2320605 and 58989. 1113 Calculate the greatest common divisor of 1040 and 8378890. 130 Calculate the highest common factor of 816846 and 1506. 6 Calculate the highest common divisor of 978635 and 35. 35 What is the greatest common factor of 574 and 229794914? 82 Calculate the highest common factor of 1362140 and 50220. 620 What is the highest common factor of 2102749 and 817? 19 Calculate the greatest common divisor of 29 and 2651426587. 29 Calculate the greatest common factor of 51 and 6131951. 17 What is the highest common factor of 864 and 1873341? 27 What is the highest common factor of 911 and 177359857? 911 Calculate the highest common factor of 221253671 and 287. 41 What is the greatest common divisor of 7375 and 6523925? 1475 Calculate the highest common divisor of 2512198 and 1495. 299 Calculate the highest common factor of 206775 and 1200. 75 What is the greatest common factor of 413940 and 2580? 60 What is the greatest common divisor of 63232 and 1344421? 247 What is the greatest common divisor of 3451 and 1004105? 17 What is the greatest common factor of 725472054 and 206? 20
{ "pile_set_name": "DM Mathematics" }
Let u(o) = o**3 - o**2 - o + 28. Let p be u(x). Suppose p = 2*v + 8. List the prime factors of v. 2, 5 Let t(h) = h**2 + 6*h - 2. List the prime factors of t(-10). 2, 19 Let v = 191 + 34. What are the prime factors of v? 3, 5 Let c = -20 - -71. List the prime factors of c. 3, 17 Let y = -4 - -13. Suppose 2*u = -y - 19. Let o = u + 20. What are the prime factors of o? 2, 3 Suppose -4*t = 3*t - 210. List the prime factors of t. 2, 3, 5 Let s(m) = -38*m - 2. What are the prime factors of s(-1)? 2, 3 Suppose -4*k = -84 - 76. Suppose -s = 3*s - k. What are the prime factors of s? 2, 5 Suppose -8*w - 2*w = -1870. List the prime factors of w. 11, 17 Let z be 0 - -2 - 6/6. What are the prime factors of 4 + 9 - (z - 1)? 13 Let n(p) = -p**2 + 6*p + 10. Let d be n(8). Let o(b) = -4*b + 4. Let q be o(d). Suppose c = -3*c + q. List the prime factors of c. 7 Let c(f) = -f**3 + f**2 - f - 4. Let s(w) = -w**3 + 6*w**2. Let v be s(6). Let d be c(v). Let z(a) = -2*a - 5. List the prime factors of z(d). 3 Let v(g) = 4*g**2 + 1. Let d be v(-1). Suppose 65 = -0*w + d*w. Let u = -5 + w. List the prime factors of u. 2 Suppose -i = 3*i - 8. Let a be 1/2 - 23/i. Let v = a - -30. What are the prime factors of v? 19 Let f(o) = 5*o**2 + 4*o - 3. What are the prime factors of f(-4)? 61 Suppose 3 = -4*w - 5*y, 11 - 2 = -2*w - 5*y. Suppose -46 = -2*k - 4*r, k + 48 = 3*k + 2*r. Suppose -w*n + 11 + k = 0. List the prime factors of n. 2, 3 Suppose 6*l - 104 = 2*l. Suppose -s = 9 - l. List the prime factors of s. 17 Let b(p) = 6*p - 5. What are the prime factors of b(4)? 19 Let p be (3 + 0 - 0)*5. Suppose 0 = -4*w + 20 + 88. Let f = w - p. What are the prime factors of f? 2, 3 Suppose 4*v + 4 = 16. Suppose -v*i = -0*i - 51. What are the prime factors of i? 17 Suppose -196 = -3*g - g. What are the prime factors of g? 7 Let l(f) = -f**3 + f**2 - 1. Let z be l(0). Let r(d) = 29*d**2 - d - 2. What are the prime factors of r(z)? 2, 7 Let a(m) = -m**2 + 8*m - 7. Let g be a(8). Let d = g + 17. List the prime factors of d. 2, 5 Suppose 22 + 206 = 4*i. List the prime factors of i. 3, 19 Let w be (225/(-4))/(1/4). List the prime factors of 4/6 + w/(-27). 3 Let o(p) = -17*p + 35. What are the prime factors of o(-5)? 2, 3, 5 Suppose -2*c + 174 + 88 = 0. List the prime factors of c. 131 Let o(a) = -a**3 + 7*a**2 - 2. Let z be o(7). Let v = -2 - z. Suppose -5*w + 11 + 39 = v. List the prime factors of w. 2, 5 What are the prime factors of (3078/(-30) - -3)/((-9)/30)? 2, 83 Suppose 2*o = -5*x + 354, -3*o + 54 = 3*x - 153. List the prime factors of x. 2, 3 Let t(f) = 2*f**2 - 4*f. What are the prime factors of t(6)? 2, 3 Suppose -17*n = -18*n + 268. What are the prime factors of n? 2, 67 Suppose d + 2*d + 4*l - 181 = 0, 3*d = -3*l + 177. Let w = -18 + d. What are the prime factors of w? 37 Suppose -5*z = 4*o - 1151, -2*z + 2*o = -445 - 1. What are the prime factors of z? 227 What are the prime factors of 3 - (0 - 328/4)? 5, 17 Suppose -2*o + 243 = 5*v, o - 123 = -v - 3. What are the prime factors of o? 7, 17 Suppose 0 = v - 4*v + 21. Suppose 5*r - 147 = -v. List the prime factors of r. 2, 7 Let w(o) = -o**3 + 3*o**2 + 5*o - 4. Let f(b) = -b**3 + 3*b**2 + 4*b - 3. Let u(y) = -6*f(y) + 5*w(y). List the prime factors of u(4). 2, 3 Suppose -n + 14 = -3*r, -2*n + 5*n - 4*r - 22 = 0. Suppose n*v - 52 = -0*v. List the prime factors of v. 2, 13 Suppose 0*u = u, -4 = -2*t + 2*u. Suppose 46 = t*m - 3*z - 5, -2*m + 57 = -z. List the prime factors of m. 2, 3, 5 Suppose 5*t = 2*d + 5, 4*d = -4*t - 1 + 5. Suppose -g = -d*g - 1. Suppose 2*y - 4*y - g = -a, 5*a - 35 = 4*y. What are the prime factors of a? 11 Let w(o) be the first derivative of -o**6/360 - 3*o**5/40 - o**4/12 + o**3/3 + 1. Let z(k) be the third derivative of w(k). List the prime factors of z(-7). 2, 3 Let c = -5 + 8. Let y(h) = 4*h. What are the prime factors of y(c)? 2, 3 Let s = 3 - 0. Let a = s + 8. List the prime factors of a. 11 Suppose 4*m + 132 = -3*q, 4*q - m + 154 = m. Suppose -6*l + l = 145. Let n = l - q. List the prime factors of n. 11 Suppose -2*g = s - 3*s + 732, -2*g + 10 = 0. What are the prime factors of s? 7, 53 Suppose l - 3*r - 36 = 0, -3*l + 2*r - 49 + 157 = 0. List the prime factors of l. 2, 3 List the prime factors of (-1)/((-5)/(-42))*-5. 2, 3, 7 Let g(i) = 33*i. List the prime factors of g(1). 3, 11 Let r = 4 + -2. Let s be 2 + (r - 0) + -30. List the prime factors of (-6)/(-21) + s/(-7). 2 Suppose 13*o = 18*o - 185. List the prime factors of o. 37 Suppose -9 + 81 = 3*k. Suppose 5*f = 2*f + k. List the prime factors of f. 2 Let n(i) be the third derivative of i**4/24 + i**3/3 - 5*i**2. Suppose l = -3*l. What are the prime factors of n(l)? 2 Let x = 5 + -1. Let n = 9 - x. What are the prime factors of n? 5 Let z = 58 - -342. List the prime factors of z. 2, 5 Suppose -4*l - 20 = -2*f, 0 = -f + 3*l + 11 + 1. What are the prime factors of f? 2, 3 Suppose 12 + 0 = 4*u. Let w be (2/u)/((-4)/(-30)). List the prime factors of 3 - w - (-18)/1. 2 List the prime factors of (5 - (-13 + -1)) + (0 - -2). 3, 7 Suppose -4*t + 42 - 6 = 0. Let a(y) = y**2 - 8*y - 7. What are the prime factors of a(t)? 2 Let s = 2 + 1. Suppose -62 = -2*j - 3*j - s*q, 0 = 4*j + 3*q - 49. What are the prime factors of j? 13 List the prime factors of (-1164)/(-15) - 2/(-5). 2, 3, 13 Let k = -446 + 694. List the prime factors of k. 2, 31 Let t = 17 + 11. What are the prime factors of t? 2, 7 Suppose 28 = 5*f - f. What are the prime factors of f/(-2)*8/(-4)? 7 What are the prime factors of (-473)/(-2) - (-23)/(-46)? 2, 59 Let h be 3 - (-3 + 2 + -1). Suppose h*t - 38 = -13. List the prime factors of t. 5 Let j = 33 - 15. Let v = j - 16. List the prime factors of v. 2 Suppose -4*j = -5*v + 50, -2*v = 3*j + 5 - 48. Let p be (-10)/15 - v/(-3). Suppose 5*f = 3*u - 31, -p*f - 4 = -2*f. List the prime factors of u. 7 Let y = -10 + 15. Suppose -y*h - 4*k = -51, 2*k = h - 19 + 6. List the prime factors of h. 11 Suppose 13 = d - 19. List the prime factors of d. 2 Suppose -4*k + r = 16, -r - 7 = -5*k - 26. Let d be k/(-3) - 0 - 1. Suppose y = -3*m + 21, 5*y + 39 = 3*m - d*y. What are the prime factors of m? 2 Suppose 8 = 3*s + s. Suppose 0 = 3*u + 2*u - 5*c - 45, u - s*c - 6 = 0. Suppose q + 3*h = 4*q - 36, -q = -3*h - u. List the prime factors of q. 2, 3 Let y(h) = -5*h - 2. Let p = 1 + -5. List the prime factors of y(p). 2, 3 Let s be 1/((-4)/(-8 - 4)). Suppose s*v - 34 = -10. What are the prime factors of v? 2 Suppose -3*l - 5*f + 516 = -l, 5*l - 1290 = -2*f. List the prime factors of l. 2, 3, 43 Let k = 46 - 41. Let s(c) = -5*c + 9. Let a(m) = -2*m + 4. Let p(f) = 7*a(f) - 3*s(f). List the prime factors of p(k). 2, 3 Let p = -16 - -72. What are the prime factors of p? 2, 7 Let y = 107 + -62. List the prime factors of y. 3, 5 Let t(x) = -x**2 + 8*x - 6*x + 7*x + 7. List the prime factors of t(9). 7 Let n be (-1 - (-16)/4)*1. Let x(h) = h**3 - h**2 - 2*h - 1. What are the prime factors of x(n)? 11 Let b be (-4)/6*-15*1. Let i be 1/1*(b - 4). Suppose -2*h - 3*o + i*o = -14, 5*h = -o + 52. What are the prime factors of h? 2, 5 Let z(m) = m**2 + 5*m + 4. Let a be z(-5). Let c be -2 - (2*-3 + -2). Suppose 0 = -4*g - a*t + 16, -3*t = 2*g + t - c. What are the prime factors of g? 5 Suppose 0*v - 4*v + 128 = 0. List the prime factors of v. 2 Let v = -100 - -44. What are the prime factors of (-1)/2*v/2? 2, 7 Let h(b) = -b**2 - 13*b - 5. List the prime factors of h(-12). 7 Let y be (-2)/(-7) - (-19)/7. Suppose w = -n + 7, 7*w - 25 = -y*n + 2*w. Suppose -n*f + 4*l + 28 = 0, 5*l + 12 = 2*f + 3*l. List the prime factors of f. 2 What are the prime factors of -2 + (5 - -2)*20? 2, 3, 23 Suppose -2*r + 6 = 0, -q - 84 = -6*q - 3*r. Suppose h - b = 4*b + 12, 5*b = q. List the prime factors of h. 3 Suppose 22 = 2*m - 4*t, -4*m + 28 + 22 = -2*t. What are the prime factors of m? 13 Let i be 1/2 + 82/4. Suppose -5*a = -109 - i. What are the prime factors of a? 2, 13 Let x(y) = 63*y + 1. Let k be x(1). Suppose 5*i = -t + k, -i - 22 = -3*i - 4*t. What are the prime factors of i? 13 Let i be (-4)/6 + (-32)/6. Let h = -13 - -15. What are the prime factors of 26/6 + h/i? 2 Let f(n) = 3*n. Let i be f(-2). What are the prime factors of ((-40)/i)/((-1)/(-3))? 2, 5 Let r be 66/12 + (-1)/2. Su
{ "pile_set_name": "DM Mathematics" }
349, -352, -355? -358 What is next in 7251, 7252, 7253, 7254? 7255 What is next in 118, 117, 112, 103, 90, 73, 52? 27 What is next in -24, -37, -50, -63? -76 What is next in -7729, -7727, -7725, -7723, -7721? -7719 What is next in 199, 365, 519, 655, 767, 849? 895 What is next in 0, -8, -28, -60, -104, -160? -228 What comes next: 228, 226, 224? 222 What comes next: -17, -34, -61, -98, -145, -202? -269 What comes next: 18, 30, 18, -30, -126, -282, -510, -822? -1230 What comes next: 39, 26, 13, 0, -13? -26 What is the next term in 3101, 3105, 3109, 3113? 3117 What is the next term in -78, -149, -204, -237, -242, -213? -144 What is the next term in 127, 119, 97, 55, -13, -113, -251? -433 What is next in 178, 351, 524, 697? 870 What is next in 42, 78, 114, 150, 186? 222 What is the next term in -1, 5, 17, 35? 59 What is next in -515, -527, -541, -557, -575, -595? -617 What is next in 432, 420, 394, 348, 276, 172? 30 What is the next term in 11, 25, 63, 137, 259, 441, 695, 1033? 1467 What comes next: 41, 55, 69, 83, 97, 111? 125 What comes next: -1165, -1158, -1147, -1132, -1113? -1090 What comes next: 74, 185, 298, 413, 530, 649, 770? 893 What is next in 20, -5, -48, -109? -188 What comes next: 61, 141, 223, 307, 393, 481? 571 What is the next term in 121, 120, 117, 112, 105, 96, 85? 72 What is the next term in 632, 644, 688, 782, 944, 1192? 1544 What is next in 3, -10, -35, -78, -145, -242, -375, -550? -773 What is the next term in 59, 89, 119, 149? 179 What comes next: -69, -114, -137, -132, -93, -14? 111 What comes next: -62, -166, -338, -578, -886, -1262, -1706? -2218 What is the next term in 48, 118, 264, 510, 880, 1398? 2088 What is next in 83, 85, 89, 95, 103, 113? 125 What comes next: -33, -32, -29, -24, -17? -8 What is next in 21, 38, 69, 120, 197, 306? 453 What is next in 540, 637, 732, 825, 916, 1005? 1092 What comes next: 151, 302, 453, 604, 755, 906? 1057 What comes next: 629, 644, 661, 680, 701, 724, 749? 776 What is next in 2, 4, -2, -22, -62, -128, -226, -362? -542 What is the next term in 282, 563, 844, 1125, 1406? 1687 What comes next: -33, -60, -117, -216, -369, -588, -885? -1272 What comes next: -40, -286, -696, -1270, -2008, -2910, -3976? -5206 What is next in 14, 16, 14, 8, -2, -16, -34? -56 What is the next term in -37, 3, 31, 41, 27, -17, -97? -219 What is the next term in 68, 246, 558, 1016, 1632, 2418? 3386 What comes next: -47, -94, -141, -188? -235 What is the next term in -17, 7, 47, 103, 175, 263, 367? 487 What is next in -9202, -9204, -9206, -9208, -9210, -9212? -9214 What is next in 150, 304, 460, 618, 778, 940, 1104? 1270 What is the next term in -115, -440, -975, -1714, -2651, -3780? -5095 What is next in -56, -55, -54, -53, -52, -51? -50 What is the next term in -785, -784, -783, -782? -781 What comes next: -15, -17, -19, -21, -23? -25 What comes next: -56, -99, -144, -191, -240, -291, -344? -399 What is the next term in -297, -598, -889, -1164, -1417, -1642, -1833? -1984 What comes next: 438, 439, 440, 441, 442, 443? 444 What is next in 41, 66, 73, 50, -15, -134? -319 What is next in 143, 171, 219, 293, 399, 543, 731? 969 What is the next term in 2, 8, 46, 140, 314, 592, 998? 1556 What is the next term in -45, -83, -121, -159, -197, -235? -273 What comes next: -5, 45, 167, 397, 771? 1325 What is the next term in 228, 453, 678, 903, 1128? 1353 What is next in -1178, -1186, -1206, -1244, -1306, -1398, -1526, -1696? -1914 What comes next: -328, -331, -336, -343, -352? -363 What is the next term in -2017, -2005, -1977, -1927, -1849? -1737 What comes next: -108, -198, -288? -378 What comes next: 16, 40, 86, 160, 268, 416, 610? 856 What comes next: 110, 221, 332, 443? 554 What is the next term in -57, -72, -85, -96, -105? -112 What is next in -298, -299, -298, -295? -290 What comes next: -62, -207, -440, -755, -1146, -1607? -2132 What is the next term in 1116, 2223, 3330, 4437, 5544? 6651 What comes next: 879, 892, 915, 954, 1015, 1104, 1227, 1390? 1599 What is next in -72, -68, -64, -60? -56 What is the next term in -32, -77, -122, -167, -212? -257 What is next in -39, -86, -153, -234, -323? -414 What comes next: 349, 694, 1039, 1384? 1729 What comes next: -158, -312, -452, -572, -666, -728, -752? -732 What is the next term in 1477, 2956, 4435, 5914? 7393 What is the next term in 93, 105, 125, 153, 189, 233, 285? 345 What comes next: 32, 33, 34, 35, 36, 37? 38 What is next in -11580, -11581, -11582, -11583, -11584? -11585 What comes next: -3, -23, -45, -69, -95, -123, -153? -185 What is the next term in 80, 86, 92, 98, 104, 110? 116 What comes next: -62, -73, -84, -95, -106? -117 What comes next: 136, 276, 416? 556 What comes next: 0, -7, -16, -27, -40? -55 What is the next term in 1419, 2848, 4291, 5754, 7243, 8764, 10323? 11926 What is the next term in -29, -57, -89, -125, -165, -209, -257? -309 What is the next term in 157, 323, 491, 661? 833 What is next in -1201, -1205, -1211, -1219, -1229, -1241? -1255 What is the next term in 82, 102, 120, 136? 150 What is next in 569, 574, 581, 590, 601, 614? 629 What comes next: -228, -227, -224, -219, -212? -203 What comes next: -9, -24, -49, -84, -129, -184? -249 What is next in 18, 28, 38, 48, 58? 68 What is the next term in -20, -15, -10, -5, 0, 5? 10 What comes next: 439, 443, 447, 451? 455 What is next in 5, -14, -69, -178, -359? -630 What comes next: 127, 136, 145, 154, 163? 172 What is next in 678, 670, 662? 654 What is next in -107, -100, -91, -80, -67, -52? -35 What comes next: 17, 28, 51, 92, 157, 252? 383 What is next in 50, 75, 98, 119? 138 What is the next term in -1439, -1445, -1451, -1457? -1463 What is next in 16, 18, 22, 28? 36 What is next in 33499, 66996, 100493, 133990, 167487? 200984 What is the next term in 2178, 4358, 6538, 8718, 10898? 13078 What is next in 6484, 6485, 6496, 6523, 6572? 6649 What is next in -70, -145, -220? -295 What comes next: 53, 122, 203, 296? 401 What is next in 2117, 2114, 2101, 2072, 2021? 1942 What comes next: -77, -82, -73, -44, 11? 98 What is the next term in 340, 336, 330, 322? 312 What is the next term in -58, -67, -76, -85? -94 What is next in 13, -6, -65, -176, -351? -602 What is the next term in 54, 110, 168, 228, 290? 354 What is the next term in 3330, 3328, 3326, 3324, 3322, 3320? 3318 What is next in -177, -178, -179, -180? -181 What is the next term in 54, 88, 98, 84, 46, -16, -102? -212 What comes next: -152, -253, -352, -449, -544, -637, -728? -817 What comes next: 26, 62, 124, 212, 326? 466 What is next in 4, 36, 68, 100, 132? 164 What comes next: 100, 24, -108, -302, -564? -900 What comes next: -42, -38, -32, -24? -14 What is next in 917, 1833, 2749, 3665? 4581 What is next in 95, 184, 273? 362 What is the next term in -2, 110, 222, 334, 446? 558 What is the next term in -452, -442, -432, -422, -412, -402? -392 What is the next term in -27, -45, -97, -201, -375? -637 What is the next term in -189, -430, -841, -1428, -2197? -3154 What is next in -52, -51, -50? -49 What is the next term in 54, 111, 186, 285, 414, 579, 786, 1041? 1350 What comes next: 8, -6, -44, -112, -216, -362, -556? -804 What is next in -159, -197, -221, -225, -203? -149 What comes next: 259, 519, 781, 1045? 1311 What comes next: -275, -304, -335, -368, -403, -440? -479 What is the next term in -64, -130, -196, -262? -328 What is next in -33, -35, -39, -45, -53, -63, -75? -89 What is next in -236, -477, -716, -953? -1188 What is the next term in -27, -39, -51, -63, -75, -87? -99 What comes next: -886, -3576, -8060, -14338, -22410? -32276 What comes next: 187, 183, 177, 169, 159, 147, 133? 117 What is the next term in -141, -140, -139, -138, -137, -136? -135 What is the next term in 6, -6, -56, -168, -366? -674 What comes next: 26, 38, 48, 56, 62, 66, 68? 68 What is the next term in -1753, -1752, -1751, -1750? -1749 What is the next term in 253, 262, 275, 292? 313 What comes next: -359, -728, -1087, -1430, -1751, -2044? -2303 What is next in 109, 218, 327, 436, 545? 654 What comes next: -16, -2, 56, 182, 400, 734, 1208, 1846? 2672 What comes next: -595, -585, -561, -517, -447? -345 What comes next: 103, 144, 213, 310, 435, 588, 769? 978 What is the next term in -49, -48, -49, -52? -57 What is the next term in -15, 54, 243, 612, 1221, 2130?
{ "pile_set_name": "DM Mathematics" }
of v(f). What is o(2)? -3 Suppose -3*x = -4*y - 14 - 26, 0 = -5*y - x - 31. Let r(n) = -2*n**2 - 13*n - 1. Determine r(y). -8 Let c(l) = -2*l**3 - 6*l**2 - 2*l + 2. Let o be c(-3). Let j be -3 - (3 - (o + -2)). Let b(u) = j*u + u**2 - 2*u - 2*u**2 - 1. Calculate b(-1). 0 Let n(m) = -5*m**3 + 9*m**2 + 9*m - 33. Let g(k) = -k**3 + 2*k**2 + 2*k - 8. Let u(l) = 9*g(l) - 2*n(l). Let p be 0/2*4/8. What is u(p)? -6 Let w(v) be the first derivative of v**2/2 - 2*v + 2. Suppose -11*x + 15*x = 52. Suppose -x*z = -14*z. Calculate w(z). -2 Let l(z) = 2*z + 3. Let b(u) = -u**3 - 6*u**2 + 7*u + 5. Let w be b(-7). Suppose -w*k = 11 + 4. Calculate l(k). -3 Let t be -58*(28/8 + -4). Let v(k) = -18 - 5*k + t + 4*k + 2*k. Determine v(0). 11 Let v be -1 + -1 + 1 + 6. Suppose v*g = 1 + 9. Let n(x) be the first derivative of -x**4/4 + 2*x**3/3 + x - 1045. What is n(g)? 1 Let r(u) = 15*u - 7*u - 28 + 20 - 45. Let o be r(6). Let l(k) = k**3 + 7*k**2 + 6*k - 1. What is l(o)? 19 Let m(l) = -57*l + 337. Let r be m(6). Let h(g) be the first derivative of g**4/4 + 2*g**3 + 5*g**2/2 + 2*g + 1. Give h(r). 2 Let n(x) = -2*x**2 - 31*x - 112. Let w be n(-10). Let g(q) = 5*q + 5. What is g(w)? -5 Let n(h) = 10*h**2 - h**3 + 3*h**3 - 13*h**2 + 4*h**3 - 3 - 5*h**3. Calculate n(3). -3 Let v(u) = 5 - 2 + 0 + u. Suppose -4*c - 4*a = 20, 3*c - 28*a = -26*a. Calculate v(c). 1 Let y be 6/(-4) - (-98)/(-196). Let r(k) be the second derivative of -2*k + k**2 + 0 + 2/3*k**3. Determine r(y). -6 Suppose t + 2 = z - 0*t, -5*z = 4*t + 26. Let q(k) = k + k + 7*k - 3*k**2 + 1 - 6*k - k**3 - 4*k. Calculate q(z). -1 Let t be ((-2)/(-4))/((-1)/2). Let k(y) = -y**3 - 2*y**2 + 7*y + 6. Let d be k(-4). Let g(s) = 9*s - d*s + 8*s + 2 - 3. Determine g(t). -8 Let p(r) = r**3 + 4*r**2 - 3*r + 6. Let k = 362 - 367. Determine p(k). -4 Suppose 0 = -2*c + x + 7 + 4, 4*c + x = 25. Let n(p) = -2*p**2 + 6*p + 2. Give n(c). -34 Let o(d) = d + 30. Suppose -33*w = -10*w + 529. Calculate o(w). 7 Suppose 2*b - 5*b = 3. Let f(v) be the third derivative of -14*v**2 + 0*v + 1/6*v**3 - 1/12*v**4 + 0. Determine f(b). 3 Let k(i) = -i + 2. Let s(x) = 2. Let v(z) = 3*k(z) - 2*s(z). Let p(f) = f**3 - 14*f**2 + 35*f - 19. Let a be p(11). Calculate v(a). -7 Let l(y) = 42. Let r(v) = -2*v + 40. Let u(w) = 4*l(w) - 3*r(w). Calculate u(-7). 6 Let a(s) = -2*s - 2. Let n = -239 - -242. Give a(n). -8 Suppose -68 = -4*d - 52. Let i(b) = -2 + d*b - 2 + 7. Calculate i(3). 15 Let z(l) = -4*l**2 - 4*l + 3. Let r(o) be the first derivative of -o**2/2 + o + 5. Let j(n) = 6*r(n) - z(n). Determine j(2). 15 Let j(y) be the first derivative of y**2/2 - 4*y - 100. Calculate j(-5). -9 Let q = 4 - 3. Suppose 0 = -3*u + 5*p - 10, 5*u + 4*p = -30 + q. Let v(a) = 2*a + 3. What is v(u)? -7 Let f(x) = 12*x - 478 - x**2 - 4*x + 470. Let z be (-58)/(-8) + (-2)/8. Give f(z). -1 Let x(j) = -j**3 - 9*j**2 - j + 11. Let g be 315/(-42) - 3/2. What is x(g)? 20 Let d(w) be the second derivative of w**6/180 - w**5/60 + w**4/24 + 5*w**3/6 - 23*w. Let s(j) be the second derivative of d(j). Let t = 0 + 1. What is s(t)? 1 Let d(v) be the third derivative of -v**6/120 - v**5/12 + v**3 - 2*v**2. Let s be (2 + 1)*8/12. Suppose s*y + 3*y + 25 = 0. Calculate d(y). 6 Let a = 48 + -45. Let m(w) = -11*w**a + w**2 + 6*w + 2 - 2*w - 2*w - 1. Give m(-1). 11 Let u(s) be the first derivative of -s**6/40 - s**5/60 + s**4/24 + s**2 + 1. Let w(r) be the second derivative of u(r). Let n = -8 + 9. What is w(n)? -3 Let z(b) be the second derivative of -b**4/12 - b**3/3 - b**2 - b - 57. Calculate z(-3). -5 Let s be -3*1 - (-8 - -5). Suppose s = -5*f - 3*h - 5, 2*f + 3*h - 1 = -12. Let u(a) = -10*a + 2. Calculate u(f). -18 Suppose 5*m - 9 = -d + 3*m, 4*d - 4*m = 24. Let b(i) = i**3 - 8*i**2 + 9*i + 1. Determine b(d). 15 Let m(l) = 48 + l**3 - 99 + 0*l + 49 + 3*l - 4*l**2. Suppose 3*x - 3*g = 27, 1 = x + g + 2. What is m(x)? 10 Let j(l) = -11*l**2 + 5*l - 7. Let g(r) = 5*r**2 - 2*r + 3. Let p(b) = 5*g(b) + 2*j(b). Let s = -129 + 131. Give p(s). 13 Let h(x) = -23*x**2 - x. Suppose -11*j - 1 - 10 = 0. Determine h(j). -22 Let b(w) = -16*w + 3*w**2 + 22 + 0*w**2 - 2*w**2 + 2*w. Determine b(12). -2 Let o(d) = 2*d - 3*d - 5*d**2 - 1 + 8*d**2 + 4*d**2 - 4*d**2. Suppose -4*n - 2*j - 7 - 3 = 0, -3*j - 1 = -n. Determine o(n). 13 Suppose 5*r + 5 = -35. Let w be (-3 + r/(-2))*0. Suppose 3*q + 5*v + 20 = 0, w*q - 4*q = 2*v + 22. Let o(n) = 3*n + 3. What is o(q)? -12 Let j(k) = -k**2 - 5*k - 7. Let g be j(-4). Let n(f) be the first derivative of -f**3/3 - 2*f**2 - 2*f - 7. What is n(g)? 1 Let c(l) = 0 - 3 - 2 + 5 + 4*l + 3. Let s(b) = -b - 8. Let g be s(-4). What is c(g)? -13 Suppose -2*n + 22 = 5*m, -3*m = -0*m - 4*n - 8. Let b(c) be the first derivative of -1/4*c**m - 2/3*c**3 + 9 - c + 2*c**2. Calculate b(-3). -4 Suppose -3*b = 3*i + 5 - 35, 3*i + 6 = 3*b. Let a(n) = n - 9. Give a(b). -3 Suppose -2*g = -4*i + 40, i = -4*g - 13 + 32. Suppose 2*p = i - 3. Let z(k) = -k**3 + 5*k**2 - 3*k - 5. Determine z(p). -1 Let i be 1*2 - (-12)/4. Let f(c) = -1 + i*c**3 + 3*c**3 + 2*c + 0*c. Suppose -8*k = 4*o - 6*k, 4*o = k + 6. Calculate f(o). 9 Let h(c) = -c**2 - 3*c - 1. Let p = -11 - -12. Suppose 2*f = -5 - p. What is h(f)? -1 Suppose -3*c + 1180 = -4*j, -c - 197 = -4*j - 593. Let o(p) = -c*p**2 + 387*p**2 - 5*p + 4 + p**3 - 5. Determine o(6). 5 Let o(b) = 2*b - 4. Suppose -7*v = -298 - 206. Let k = -69 + v. What is o(k)? 2 Let m(x) = x**2 + 12*x + 10. Let s be ((-38)/(-76))/((-1)/22). Determine m(s). -1 Let t(a) = -3 + 8*a**2 - 29*a**2 + 23*a**2 - 4*a + a**3. Determine t(-3). 0 Let b(a) = a**2 - 7*a - 2. Let d = 20 + -17. Suppose d*w - p = -0*p + 18, -w + 4*p = 5. Calculate b(w). -2 Let c(l) = -21*l**2 + 10*l**2 + 10*l**2 + 7 + 3*l. Give c(5). -3 Let u(c) = 9 + 3*c - 207*c**3 + c**2 - 6*c**2 + 0*c**2 + 206*c**3 - 2*c. Determine u(-4). -11 Let x(a) = a**2 - 11*a + 12. Suppose d - 4 = -4*t, -5*t = -2*d - 9 + 4. Suppose v + 2*j + t = 2, 2*v + 5*j = -2. Determine x(v). -6 Let r = 832 + -830. Let b(t) = 3*t**3 - 5*t**2 + 2*t - 1. Give b(r). 7 Let u be 4 + (2 - (-12)/(-3)) - -7. Let s(j) = -2*j + 8. Calculate s(u). -10 Let p(s) be the second derivative of -s - s**2 - 2/3*s**3 + 0. Suppose 6*d + 2 = 5*d. What is p(d)? 6 Let y(j) be the third derivative of 1/8*j**4 + 0*j - 13*j**2 + 1/2*j**3 + 0. Determine y(-3). -6 Let f(m) be the second derivative of -m**3/2 + 3*m**2 - 15*m. What is f(-5)? 21 Suppose -11*r + 5*r = -54. Let k(w) = 14 - 3*w + w - r. What is k(4)? -3 Let v be 780/108 + 4/(-18). Let q(t) = -5*t**3 + 4*t**2 - 12*t + 2. Let o(c) = -9*c**3 + 9*c**2 - 23*c + 3. Let b(x) = -4*o(x) + 7*q(x). Give b(v). 9 Let u = -2402 + 2393. Let b(s) = 9*s - 1. Give b(u). -82 Let h(o) = 3*o**3 - o. Let d(v) = -3*v + 34. Suppose -8*w = -58 - 30. Let t be d(w). What is h(t)? 2 Suppose -5*o = 3*r + 7 + 5, 5*o + 20 = 5*r. Let y(t) be the third derivative of -t**6/30 - t**5/30 + t**4/24 - 2*t**2 - 15. Give y(r). -5 Let j(f) = 9*f**2 + 26*f + 6 - 24*f - 8*f**2. Determine j(-6). 30 Let n = -34 - -36. Let a(k) = -5*k + 10*k**2 - 8*k**n - k**2 - 1 - 2. Determine a(4). -7 Let n(u) = -1 - 4 + 2 + 2. Let f(q) = 2*q + 1. Let o(b) = f(b) - 4*n(b). Calculate o(-4). -3 Let y(b) be the first derivative of -3*b**2 - 21 + 1/3*b**3 - 7*b. Calculate y(5). -12 Let f(z) = -2*z - 4. Let w(h) = -2*h**3 - h**2 + h - 9. Let u be w(-3). Let v = u + -27. Calculate f(v). -16 Suppose -4*b + 8 = -2*j - 2*j, j - 34 = -5*b. Let c be (-8)/20 - -4 - 2/(-5). Let x(w) = -c + 230*w**2 + 3*w - 231*w**2 + 3*w. Determine x(b). -4 Let x(p) be the third derivative of p**4/4 - p**3/6 + p**2. Let i(j) = 5*j. Let u(o) = 5*i(o) - 4*x(o). Let y(v) = v**2 + 17*v + 33. Let w be y(-15). Give u(w). 7 Suppose -14 = 2*l + n, 5*l + 28 = 4*n + 6. Let c(s) = -3*s**2 + 1 - 7*s - 3 + 2*s**2. Calculate c(l). 4 Let i(a) = -a**2 - 2*a. Let u be ((-8)/(-12))/(8/36). Suppose 0 = -4*n + u*z - 82, 2*z = -5*n - 50 - 41. Let r = n - -15. Determine i(r). -8 Let w(v) = -10*v**2 - v + 1. Suppose 0 = 4*z - 2*r - 6, 2*r = -2*z + r + 1. Determine w(z). -10 Let z(y) be the second derivative of y**4/12 - y**3/2 - y**2 - 49*y + 2. What is z(3)? -2 Let s(q) = -2*q**2 - 4*q + 20. Let m(j) = 5*j**2 + 9*j - 39. Let w(y) = -3*m(y) - 7*s(y). Let z(o) be the first derivative of w(o). Let l = 8 + -6.
{ "pile_set_name": "DM Mathematics" }
prob of sequence czqt when four letters picked without replacement from {c: 1, z: 1, w: 5, t: 6, s: 1, q: 2}? 1/3640 Four letters picked without replacement from xiiiiiiixiidxii. Give prob of sequence idxi. 11/1092 Four letters picked without replacement from {h: 4, l: 2, j: 1, g: 1, a: 3}. Give prob of sequence hgah. 1/220 Three letters picked without replacement from xmlenxnyxxxxxxx. What is prob of sequence xmx? 12/455 Calculate prob of sequence gxxg when four letters picked without replacement from {g: 2, p: 4, x: 2}. 1/420 What is prob of sequence qx when two letters picked without replacement from {x: 1, i: 1, q: 3}? 3/20 Three letters picked without replacement from yyyyjzyyyzzyjyyyy. What is prob of sequence jzj? 1/680 Two letters picked without replacement from qqqssqqsqqsqs. Give prob of sequence sq. 10/39 Three letters picked without replacement from {v: 1, d: 1, y: 2, z: 5}. What is prob of sequence ydz? 5/252 What is prob of sequence rc when two letters picked without replacement from {v: 4, n: 1, r: 3, c: 5, u: 1}? 15/182 What is prob of sequence giig when four letters picked without replacement from {z: 4, m: 3, h: 3, g: 2, i: 6}? 1/1224 Three letters picked without replacement from byjnq. Give prob of sequence jny. 1/60 Four letters picked without replacement from {m: 3, q: 5}. What is prob of sequence mqmq? 1/14 What is prob of sequence rmmt when four letters picked without replacement from {d: 3, m: 5, r: 1, f: 1, b: 2, t: 3}? 1/546 Two letters picked without replacement from fuwrh. What is prob of sequence hr? 1/20 Calculate prob of sequence cxuu when four letters picked without replacement from {t: 2, c: 3, e: 1, k: 7, u: 3, x: 2}. 1/2040 Three letters picked without replacement from zzhlhlzhllzll. Give prob of sequence lll. 10/143 Two letters picked without replacement from iciierr. What is prob of sequence ic? 1/14 What is prob of sequence xq when two letters picked without replacement from qqqxxxqxqqq? 14/55 Three letters picked without replacement from {p: 5, c: 2, n: 4}. What is prob of sequence nnp? 2/33 Calculate prob of sequence mecc when four letters picked without replacement from mmmmmmeeemcmcmeeeee. 1/646 Four letters picked without replacement from {o: 1, z: 3, k: 5}. Give prob of sequence okzo. 0 What is prob of sequence ccc when three letters picked without replacement from xxccc? 1/10 Calculate prob of sequence fff when three letters picked without replacement from {l: 2, y: 9, u: 1, f: 8}. 14/285 What is prob of sequence tdt when three letters picked without replacement from {d: 3, t: 5}? 5/28 Calculate prob of sequence fta when three letters picked without replacement from {k: 2, a: 1, f: 2, z: 1, q: 2, t: 5}. 5/858 What is prob of sequence rrt when three letters picked without replacement from {r: 3, t: 5}? 5/56 What is prob of sequence ffs when three letters picked without replacement from {t: 7, f: 2, s: 3, n: 3}? 1/455 What is prob of sequence mm when two letters picked without replacement from nmnmchycyccmncyyyhyy? 3/190 What is prob of sequence cec when three letters picked without replacement from cchqyeqhw? 1/252 Three letters picked without replacement from qdddedq. What is prob of sequence ddq? 4/35 Calculate prob of sequence edbe when four letters picked without replacement from dddjedddjedbeeebqj. 7/1836 What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjj? 1 Two letters picked without replacement from yyyyy. Give prob of sequence yy. 1 Four letters picked without replacement from {k: 1, x: 3}. Give prob of sequence xxkx. 1/4 Calculate prob of sequence mm when two letters picked without replacement from {f: 1, t: 3, y: 4, w: 2, x: 3, m: 2}. 1/105 Two letters picked without replacement from oyzbmozubzzo. What is prob of sequence mo? 1/44 Two letters picked without replacement from {g: 1, v: 4, p: 3, e: 4, c: 1, i: 5}. Give prob of sequence ip. 5/102 Three letters picked without replacement from ddqqddmqdm. What is prob of sequence dmq? 1/24 Three letters picked without replacement from zgifiiigzzgizzi. Give prob of sequence zfz. 2/273 Two letters picked without replacement from {a: 4, w: 3, k: 1}. What is prob of sequence kw? 3/56 What is prob of sequence lh when two letters picked without replacement from lhhllhlhlllhhllhlhhh? 5/19 What is prob of sequence qq when two letters picked without replacement from {q: 4, r: 7}? 6/55 Three letters picked without replacement from {o: 1, q: 2, d: 1, j: 1, r: 1, e: 2}. Give prob of sequence dqo. 1/168 Two letters picked without replacement from {e: 7, g: 1}. Give prob of sequence ge. 1/8 What is prob of sequence ddb when three letters picked without replacement from {b: 6, d: 4}? 1/10 Calculate prob of sequence jbh when three letters picked without replacement from {o: 1, h: 3, w: 2, b: 4, j: 2}. 1/55 What is prob of sequence hvh when three letters picked without replacement from hhhhhhvv? 5/28 Four letters picked without replacement from ezgggeegeegemeggge. Give prob of sequence gzee. 14/2295 Three letters picked without replacement from {u: 2, z: 1, t: 1, h: 2}. Give prob of sequence utz. 1/60 What is prob of sequence nxtv when four letters picked without replacement from {h: 3, x: 1, n: 6, v: 2, t: 5}? 1/952 Calculate prob of sequence fgf when three letters picked without replacement from {g: 5, i: 4, x: 1, f: 8}. 35/612 Calculate prob of sequence vd when two letters picked without replacement from {d: 9, v: 7}. 21/80 Four letters picked without replacement from vxnyvgy. What is prob of sequence xyny? 1/420 Two letters picked without replacement from aab. Give prob of sequence ba. 1/3 Four letters picked without replacement from vyeeevveeevceypevv. Give prob of sequence vyep. 1/765 Two letters picked without replacement from dbdel. What is prob of sequence le? 1/20 Two letters picked without replacement from {f: 2, g: 1, c: 1}. Give prob of sequence fc. 1/6 What is prob of sequence ohoo when four letters picked without replacement from hhhooohhooooo? 14/143 Four letters picked without replacement from mcccccccccmccccccc. What is prob of sequence cccm? 14/153 Calculate prob of sequence aqq when three letters picked without replacement from {q: 6, a: 1, i: 7}. 5/364 Calculate prob of sequence wt when two letters picked without replacement from {t: 7, w: 3, y: 2, a: 3, h: 5}. 21/380 What is prob of sequence mg when two letters picked without replacement from {g: 8, m: 3}? 12/55 Three letters picked without replacement from ccmccm. Give prob of sequence mcm. 1/15 Calculate prob of sequence cng when three letters picked without replacement from gcfcgccgcvfn. 1/88 Four letters picked without replacement from occoeoevoexocoxe. What is prob of sequence ocxv? 3/3640 Calculate prob of sequence wj when two letters picked without replacement from {m: 10, j: 4, w: 5}. 10/171 Two letters picked without replacement from xtggggggg. What is prob of sequence gx? 7/72 Two letters picked without replacement from {h: 1, j: 2, m: 1, x: 1, i: 1, t: 1}. What is prob of sequence xi? 1/42 Two letters picked without replacement from dddtdfddddtf. Give prob of sequence tt. 1/66 Two letters picked without replacement from {h: 2, s: 2, l: 1, a: 1, i: 1, g: 2}. What is prob of sequence gs? 1/18 Four letters picked without replacement from uedqu. Give prob of sequence dqqe. 0 What is prob of sequence ri when two letters picked without replacement from {h: 2, i: 2, w: 1, r: 2, t: 1}? 1/14 Three letters picked without replacement from zzzmzzggg. What is prob of sequence mgz? 5/168 Four letters picked without replacement from zqpqqzzqzchhzpippz. Give prob of sequence cipp. 1/6120 Four letters picked without replacement from {p: 8, a: 1, b: 8}. Give prob of sequence bpbp. 14/255 What is prob of sequence iir when three letters picked without replacement from {r: 1, e: 3, m: 1, z: 1, p: 4, i: 4}? 1/182 Calculate prob of sequence pppa when four letters picked without replacement from ppppppapppappppppppp. 8/95 Calculate prob of sequence ur when two letters picked without replacement from {s: 8, r: 1, g: 1, e: 4, u: 1, l: 1}. 1/240 Two letters picked without replacement from {p: 2, c: 1, j: 2, f: 2, d: 2, y: 5}. What is prob of sequence fc? 1/91 Thre
{ "pile_set_name": "DM Mathematics" }
of -5541090*s**5 + 10*s**4 - 35114149*s? -110821800*s**3 + 120*s**2 What is the second derivative of 27780754*j**5 + 2*j**3 - 101968810*j wrt j? 555615080*j**3 + 12*j Differentiate -4*c*s - 1670898*c + 21717264*s with respect to c. -4*s - 1670898 Find the second derivative of -a**2*i**2*m - 3997*a**2*i**2 + 3*a**2 - 14*a*i**2*m - 4*a*i - 2*i*m - 7*i - 473*m - 4 wrt i. -2*a**2*m - 7994*a**2 - 28*a*m Find the second derivative of 23*c**5 + 99*c**4 + c**3 + 4*c**2 + 24397774*c. 460*c**3 + 1188*c**2 + 6*c + 8 Find the second derivative of -8*b*k**2*o**2*w + 5967514*b*k**2*w**2 - 5*b*k*o*w + 2466*k*o**2 + 2*k*o*w - 2*o**2*w**2 - 56*o**2*w + 5*o*w**2 wrt k. -16*b*o**2*w + 11935028*b*w**2 What is the second derivative of -j*x**5 + 5082267*j*x**4 - j*x - 40*x - 33653 wrt x? -20*j*x**3 + 60987204*j*x**2 What is the second derivative of -d*y**3 + 2*d*y**2 - 2*d - 163416*y**3 - 4*y**2 - 115672046*y wrt y? -6*d*y + 4*d - 980496*y - 8 What is the third derivative of -4550012*m*v**3 - 155298*m - 10*v**2 wrt v? -27300072*m What is the first derivative of 986*g*u**2 + 237*g - 8238*u**2 + 17624 wrt u? 1972*g*u - 16476*u Find the third derivative of -76496*m**4*y + 186*m**3*y - 489*m**2*y + m**2 - 117*m - 45*y wrt m. -1835904*m*y + 1116*y What is the third derivative of 183038*f**4 - 538*f**3 - 55*f**2 + 126*f + 103 wrt f? 4392912*f - 3228 Find the third derivative of -3833555*w**3 + 3*w**2 - 233*w + 32541 wrt w. -23001330 What is the second derivative of -34385809*d**4*v**2 - 357*d*v**2 - 166*d*v - 34*v**2 - 4*v wrt d? -412629708*d**2*v**2 What is the derivative of 4*a*b*i + 11873*a*b - 25640791*b*i + 4313*b - 3 wrt i? 4*a*b - 25640791*b Differentiate -26*a*j**3 - a*j**2 - 522*a*j - 64*a - 1239*j**3 - 8*j + 2 wrt a. -26*j**3 - j**2 - 522*j - 64 What is the third derivative of -45924*f**6 - 1135*f**3*s**2 + 2*f**2*s**2 - f*s**2 - 16146255*f - s**2 wrt f? -5510880*f**3 - 6810*s**2 Find the first derivative of -11031952*y - 7102271. -11031952 What is the second derivative of -4509854*q**4 + 1107932*q wrt q? -54118248*q**2 Find the third derivative of 1805067*o**4 - o**3 + 29234872*o**2. 43321608*o - 6 Differentiate 3713662*z**3 - 4147753 wrt z. 11140986*z**2 What is the third derivative of -1194*d**4 + 476*d**3 + 30*d**2 + 8221*d wrt d? -28656*d + 2856 Find the third derivative of 87531*a**4 - 17*a**3 + 6257754*a**2. 2100744*a - 102 Find the third derivative of -9123*a**4 - 2576*a**3 - a**2 - 10*a - 959467 wrt a. -218952*a - 15456 Find the third derivative of -4*q**5 - q**4 - 25257*q**3 + 57016*q**2 - 51*q. -240*q**2 - 24*q - 151542 What is the second derivative of -124101360*j**3 - 93785026*j - 2 wrt j? -744608160*j What is the second derivative of -77701*m**5 + 2*m + 536815 wrt m? -1554020*m**3 Find the third derivative of -241543377*w**4 + 95278*w**2 + 11. -5797041048*w What is the third derivative of 2208*u**6 - 46*u**5 - 1601849*u**2 wrt u? 264960*u**3 - 2760*u**2 Differentiate 77523604*n + 42947692 with respect to n. 77523604 What is the derivative of -2*d**2 - 100021679*d - 941956671? -4*d - 100021679 Find the first derivative of -45987432*u - 46476 wrt u. -45987432 What is the third derivative of -26*n**6 - 122248*n**3 + n**2 - 11843433 wrt n? -3120*n**3 - 733488 Find the first derivative of 79*v**4 + 122*v**3 + 463*v + 10589425 wrt v. 316*v**3 + 366*v**2 + 463 What is the third derivative of h**6*t**2 + 22398767*h**3*t**3 - 6166735*h**2*t**3 + h**2 wrt h? 120*h**3*t**2 + 134392602*t**3 What is the third derivative of -269*a*f*w**3*z + 107*a*f*w**2 - 381936*a*w**3*z + 93*a*w**2*z - 2*a*z + 48*f*w**2 + 9*f*w*z wrt w? -1614*a*f*z - 2291616*a*z Find the first derivative of g*m + 14172912*g - 76653025*m wrt g. m + 14172912 Find the second derivative of 69042762*o**5 - 236742*o + 12 wrt o. 1380855240*o**3 Find the third derivative of -75*l**2*r**3 + 3*l**2*r**2 - 3*l**2*r + 3*l**2 + 7*l*r + 5496824*r**3 + 6*r**2 + 29887 wrt r. -450*l**2 + 32980944 Differentiate -15436906*w**2 + 11849801 with respect to w. -30873812*w Find the second derivative of -9588004*i**2*t - 6*i**2 + 12427553*i*t - i wrt i. -19176008*t - 12 Find the first derivative of -2045*n*o**2 - 8349*n*o*q + o**2 + 2349*o*q - 5321*o wrt n. -2045*o**2 - 8349*o*q What is the third derivative of 11708309*j**5 - 9*j**2 - 24776*j + 10? 702498540*j**2 Find the second derivative of -657143026*k**2 - 729774585*k wrt k. -1314286052 What is the third derivative of -4832*b**3*k*z + 164*b**3*k + 5*b**3*z - 6*b**2*z + 62*b**2 - 2*b*k + 40269*k*z wrt b? -28992*k*z + 984*k + 30*z What is the second derivative of -846279*b**4*m - b**3*m - 27247*b*m - 77*b wrt b? -10155348*b**2*m - 6*b*m Differentiate -572999*g**3*n*y**2 + g**3*y**2 - 490*g**3*y + 329*g**2*y**2 - g*y**2 with respect to n. -572999*g**3*y**2 Find the third derivative of 306*g**3*h*o + 587*g**3*o + 18*g**3 - 3*g**2*h*o + 43*g**2*o - 71*g*h*o + 4*h - 33*o wrt g. 1836*h*o + 3522*o + 108 What is the third derivative of -447473*h**3*z**3 + 86*h**3 - h**2*z**3 - 188545585*h**2 wrt h? -2684838*z**3 + 516 What is the first derivative of 2*p*z**2 - 22*p*z - 3*p + 148*z**2 + 20*z - 135489 wrt z? 4*p*z - 22*p + 296*z + 20 Find the second derivative of 2484241*s**3 - 16332269*s. 14905446*s What is the derivative of -176438397*a + 152486960? -176438397 What is the second derivative of -26730562*q**2 + 919675*q wrt q? -53461124 Find the second derivative of -6456896*f**2*t**2 - 2*f**2*t - 5*f*t + 10*f - 39*t - 5 wrt t. -12913792*f**2 Find the third derivative of -838830954*x**4 - x**2 + 37072673*x + 2. -20131942896*x Find the third derivative of 21*c**2*i**3 + 2*c**2*i**2 - c**2*i - 1133381*c*i**3 - 28*c*i + 2*i**3 + i**2 + 13772*i wrt i. 126*c**2 - 6800286*c + 12 What is the first derivative of 40618*k**4*n**2 + 62*k**4 + 18032674*n**2 wrt k? 162472*k**3*n**2 + 248*k**3 Find the third derivative of 16814283*f**3*k**6 - 11*f**3*k + 190132*f**3 - 12*f*k**2 wrt k. 2017713960*f**3*k**3 Find the third derivative of 26889968*p**3 - 504*p**2 - 9811*p wrt p. 161339808 What is the third derivative of 2152*b**2*s**6 - 1773*b**2*s**3 + 35446*b**2*s**2 + 3*b*s**2 + 3*b*s wrt s? 258240*b**2*s**3 - 10638*b**2 What is the second derivative of 17150367*q**3 - 9439547*q? 102902202*q Differentiate -283*d**3*g + 14*d**3 + d**2*g - 87*d*g + 4897*d + 14 wrt g. -283*d**3 + d**2 - 87*d What is the second derivative of 2*n**2*p**2 + 7*n**2*p + 788*n**2 - 1876*n*p**3 + 217*n*p - 38*p**4 wrt p? 4*n**2 - 11256*n*p - 456*p**2 Differentiate 3336938*k**3*x + 990916*x + 3 wrt k. 10010814*k**2*x What is the second derivative of 40012*o**2*x**4 + 755*o**2*x - 2423*o*x + 13*x**5 wrt x? 480144*o**2*x**2 + 260*x**3 What is the first derivative of 44942703*i + 55233647 wrt i? 44942703 Find the third derivative of -27474302*s**5 + 9838577*s**2. -1648458120*s**2 What is the second derivative of 138578013*w**2*z**2 + w**2*z - 2*w**2 - 15*w*z**2 + 3698149*w - 2 wrt w? 277156026*z**2 + 2*z - 4 Find the second derivative of 3*f**4 - 120928*f**2 + 139074*f - 5 wrt f. 36*f**2 - 241856 What is the third derivative of 2050609*r**6 + 3316885*r**2 + 1 wrt r? 246073080*r**3 What is the third derivative of -27973658*j**4 + 1132257*j**2 + 134*j? -671367792*j Differentiate -3*a**2*t - 1337496775*a**2 - 54038792*t with respect to t. -3*a**2 - 54038792 What is the third derivative of -138779167*n**3 - 6352123*n**2 - 2*n - 3 wrt n? -832675002 Find the second derivative of 24400*h**2*u**2 + 2166*h**2*u + 2217*h**2 + 13*h*u**2 wrt u. 48800*h**2 + 26*h Find the second derivative of 89620547*d**2 + 5*d - 1575925. 179241094 What is the third derivative of 74*l**6*o**2 + 361828*l**6 + 3*l**2*o**2 + l**2 + 2*l*o + 138892*l + 1 wrt l? 8880*l**3*o**2 + 43419360*l**3 What is the second derivative of 92314*s**3 - 308*s**2 - 61689747*s? 553884*s - 616 What is the third derivative of -15778747*q**3 + 49071366*q**2? -94672482 What is the derivative of -7*k**4 + 14*k**3 - 46*k**2 - 6091534? -28*k**3 + 42*k**2 - 92*k What is the first derivative of 4238369*u + 6679566? 4238369 What is the second derivative of 38*g**2*i*p + 4886749*g**2*p**3 + 16*g*i - 35*g*p**3 - 44285*i*p**3 - 2*i*p wrt g? 76*i*p + 9773498*p**3 What is the derivative of -2*p**4 + 113*p**3 + 378*p**2 - 5315274? -8*p**3 + 339*p**2 + 756*p Find the third derivativ
{ "pile_set_name": "DM Mathematics" }
units digit of g(-31)? 6 Let s(i) = 20*i + 12*i**2 + 5*i**2 - 24*i**2 + 23 + 8*i**2. What is the hundreds digit of s(11)? 3 Let b = -21182 + 38062. What is the thousands digit of b? 6 Let r = -72 - -76. Let z(d) = 288*d**2 + 8*d - 13. Let s(x) = 144*x**2 + 4*x - 7. Let j(g) = r*z(g) - 7*s(g). What is the hundreds digit of j(1)? 1 Let i(b) = 2*b - 280. Let f(s) = s - 186. Let g(m) = 7*f(m) - 5*i(m). What is the tens digit of g(-8)? 2 Suppose 5*m = -m + 1092. Let g = 720 - m. What is the hundreds digit of g? 5 Suppose -4*j + 6*j + 12 = 0. Let r(v) = -v**3 - v**2 + v - 168. Let b(h) = -h**3 - h**2 + h - 168. Let m(o) = j*b(o) + 5*r(o). What is the units digit of m(0)? 8 Suppose -9*m - 5*n + 4595 = -4*m, 5*n = m - 907. What is the tens digit of m? 1 Let m(i) = i**3 - 5*i**2 - i - 4. Let o be m(5). Let b(l) = -115*l - 12. What is the tens digit of b(o)? 2 Let u(t) = 189*t**2 + 48*t - 389. What is the thousands digit of u(6)? 6 Suppose -l - 3*n - 1449 = -4349, 2*l = -n + 5810. What is the tens digit of l? 0 Let l(n) = -2*n + 19. Suppose 11*a - 8*a - 24 = 0. Let b be l(a). Suppose -s - 286 = -5*t + s, -b*s - 9 = 0. What is the tens digit of t? 5 Suppose 24*q + 2*i = 25*q - 487, -2*i = 2*q - 980. What is the units digit of 0/(10/(-5)) + q? 9 Let q(z) = -7*z + 69. Let t be q(10). What is the tens digit of (-2 + t)*(-3712)/48? 3 Let k = -174 - 62. Let t = k - -308. What is the tens digit of t? 7 Let z be (0 + -7)/(1/6). Let u = 46 + z. Suppose 2*p = -p + u*x + 170, -4*x = -4*p + 224. What is the units digit of p? 4 What is the hundreds digit of (-8 - 1025/125)/(1/(149*-5))? 0 Let o(n) = -3*n**3 - 3*n**2 + 4*n + 56. Suppose 4*j = 5*i - 19, -2*i + 9 + 1 = -2*j. What is the units digit of o(j)? 2 Suppose 1 = -5*t + 5*i + 6, 5*t = 3*i - 5. Let m be t/8 - (-266)/4. Suppose 7*b - m - 263 = 0. What is the units digit of b? 7 Let y be (0 - -1)/(-3) + (-80828)/(-132). Suppose 4*w - y = -5*w. Suppose w*x - 65*x = 861. What is the hundreds digit of x? 2 Suppose 4*k + m = 6*m + 30925, 5*m + 5 = 0. What is the tens digit of k? 3 Let l be ((7 - 15) + 7)/((-2)/20). Suppose 6*h - l*h = 0. Suppose -v + 6 - 2 = h, -v = 3*m - 349. What is the tens digit of m? 1 Let q(s) = -s**3 + 39*s**2 + 42*s - 80. Let w be q(40). What is the units digit of (w - 2/(-3))*(-189081)/(-298)? 3 Let g(v) = 7*v + 1960. Let k be g(0). Suppose -k = -t - 565. What is the hundreds digit of t? 3 Let n = 113 - -10. Suppose 334 = q + u, q - n - 221 = u. What is the tens digit of q? 3 Suppose p - 2*p + 5 = -h, 0 = 3*p - h - 9. What is the units digit of p/(16/(-236))*(-7 + 5)? 9 Let h(b) = 3*b**2 - 9*b - 9. Let u be h(4). Suppose 0 = -u*g + 2*f + 3*f + 4607, 0 = g - 2*f - 1535. What is the thousands digit of g? 1 Let p = -32 + 29. Let z = p + 0. What is the tens digit of (-10 + -65)*1/z? 2 Let i be 802/(-14) + 7*(-2)/(-49). Let n be 3 + (-46)/16 + i/8. Let z(c) = -c**3 - 8*c**2 - 8*c - 3. What is the units digit of z(n)? 4 Let w(b) be the first derivative of 5*b**3/3 - 5*b**2/2 + 19*b + 7. Let t be w(-13). Suppose 166 = 15*o - t. What is the tens digit of o? 7 What is the hundreds digit of ((-5)/((-10)/54963))/((-11 - -14)/6)? 9 Suppose 4*y + 2*w - 1600 = 0, -5*y + 4*w - 7*w + 1999 = 0. What is the units digit of y? 1 Let q(s) = 25*s**2 - 23*s - 246. What is the hundreds digit of q(37)? 1 Suppose 4*t - 5*l = -20, -4*t = -3*l + 3 + 9. Suppose t = -5*s + 20, 4*n + 756 = 8*n - 5*s. What is the tens digit of n? 9 Suppose -7*d = -3*d - 8. Let o(s) = -3*s + 8. Let u be o(d). Suppose -u*l + 315 - 95 = 0. What is the tens digit of l? 1 Let l = -56428 + 107465. What is the hundreds digit of l? 0 Let k(b) = 4*b**2 + 3*b + 23. Let x be k(-4). Suppose x - 240 = r. Let n = 245 + r. What is the tens digit of n? 8 Suppose 9*n = n - 18*n + 215696. What is the units digit of n? 6 Let l be ((-4)/(-6))/(92/12 + -7). Let o(a) = 4944*a**3 + 5*a**2 - a - 2. Let v be o(l). What is the hundreds digit of v/18 - 14/(-63)? 2 What is the tens digit of (-749)/2*(-12 + (-832)/(-91))? 7 Suppose -3012 = 2*k - q, -3*k + 2*q + 0*q - 4518 = 0. Let s = k - -2260. What is the tens digit of s? 5 Let b(q) = 8*q + 49. Suppose h + 4 = 0, 7*y - 80 = 3*y + 3*h. What is the tens digit of b(y)? 8 Let n = 60801 - 26338. What is the tens digit of n? 6 Let j = 9514 - -4092. What is the units digit of j? 6 Let l = 157 - 145. Suppose -l*t - 2*t = -3416. What is the hundreds digit of t? 2 Suppose 300*g - 351*g = -385050. What is the hundreds digit of g? 5 Let z be 106/22 - 2/(-11). Suppose -23 = -5*k + j, 0 = -z*k - 2*j + 14 - 0. Suppose 4*t + k = -8, 5*x = 4*t + 542. What is the hundreds digit of x? 1 Let o(k) = -k**3 - 9*k**2 - 5*k - 6. Let g be o(-8). What is the tens digit of (-48)/20*(-138)/(-24)*g? 1 Let g = 105805 + -69841. What is the units digit of g? 4 Let o(r) = -r - 94. Let d be o(11). Let k = d - -403. What is the tens digit of k? 9 Suppose 2*p - 3*u + 0 + 10 = 0, 4*p = -5*u + 2. Let x be ((-1)/p*(2 - 0))/(-1). What is the units digit of -20*(17/(-5) + (2 - x))? 8 Let g(q) = -q**3 + 7*q**2 + 7*q + 8. Let w = -33 - -41. Let y be g(w). Suppose y = u + 5*z - 176, -2*u = -z + 24 - 409. What is the hundreds digit of u? 1 What is the tens digit of 10636093/473 + (-6)/(-99)*9? 8 Let z be 0*((-12)/56 - (-2)/(-7)). Let q be z/(-2) - (-2 + -4). Suppose 3*x - q*x = -345. What is the hundreds digit of x? 1 What is the tens digit of (-658870)/(-26) + 974/(-6331)? 4 Let o(c) = -2*c + 57. Let q be o(28). What is the hundreds digit of ((-1323)/378)/(q + (-357)/356)? 2 Let u = 18607 - 10447. What is the hundreds digit of u? 1 Suppose -8584 = -2*z + 2*y, -98*z - 3*y + 12906 = -95*z. What is the hundreds digit of z? 2 Suppose -52835 - 14935 = -19*b + 4867. What is the units digit of b? 3 Suppose -4*g + 5*g + 89 = l, -2*g = -8. Let m = l + 345. What is the hundreds digit of m? 4 Let i be -9*(3 - 60/18). Suppose -2*v - 2*v + 1217 = 3*x, -i*v - 2*x = -914. What is the tens digit of v? 0 Let a be ((-2)/8 - 2)/(2/80). Let k = 142 + a. What is the tens digit of k? 5 What is the units digit of (1 - (-180)/(-15)) + 25752? 1 What is the hundreds digit of (-26)/(-10) + (-14445639)/(-585)? 6 Let k(s) = 937*s - 5*s**2 + 29 - 2*s**3 - 951*s + 37*s**2. What is the units digit of k(15)? 9 Let b = 123905 + -86549. What is the tens digit of b? 5 Suppose -v = 3*j + 331, 2*v + 0*v + 440 = -4*j. Let p = j - -231. Let l = p - 42. What is the units digit of l? 8 Let p be (72512/(-56) - -6) + (-6)/(-7). Let i = p - -2296. What is the units digit of i? 8 Let w(c) = -233*c**3 + 2*c**2 - 16*c + 20. What is the ten thousands digit of w(-6)? 5 Suppose -3*s - 3*c = -88938, 179*c = 3*s + 180*c - 88928. What is the hundreds digit of s? 6 Let q(w) = -5*w + 106. Let x be q(26). Let y(v) = v**3 + 24*v**2 - 14*v - 69. What is the tens digit of y(x)? 6 Let s be (-98)/(-34) - 42/(-357). Suppose 0 = 4*m + 16, -2*m = -s*b + m + 2133. What is the units digit of b? 7 Let m(c) be the second derivative of 7*c**4/6 - c**3/6 - c**2/2 - 37*c. Let q be m(4). Let x = q - 122. What is the units digit of x? 7 Suppose 2*j = -j + k + 10, 4*j + 4*k + 8 = 0. Let d be j + 1/4 + 27/(-12). Suppose 188 = -d*r + 4*r. What is the units digit of r? 7 Suppose 0 = -137*q + 134*q - 12. Let w(d) = 9*d**2 - 2*d - 29. What is the units digit of w(q)? 3 What is the tens digit of (-6*(4/(-4))/(-2))/((-183)/910303)? 2 Let g(z) = z - 1. Let m(s) = -194*s + 15. Let y(a) = -3*g(a) - m(a). What is the units digit of y(1)? 9 What is the hundreds digit of -8 + 16 - (-1305 + 2)? 3 Let r = 2327 + -94. Suppose -6*g = -4175 - r. What is the units digit of g? 8 Let c = -12637 - -13731. What is the hundreds digit of c? 0 Let t = 34839 - 25030. What is the thousands digit of t? 9 Suppose 0 = -87*m - 55*m + 710. Let w = 9 - 4. Suppose -m*i - 44 = -f, 7 + w = -3*i. What is the units digit of f? 4 Let i = 94 + -52. What is the tens digit of (-12180)/(-66) - i/77? 8 Suppose -20 = -4*y + 8*y, y + 41 = -3*t. What is the units digit of 10/(-30) + (-5452)/t? 4 What is the tens digit of 23 - (6 + 23) - (-31332 - -1)? 2 Suppose 0 = 3*w - 5*g + 6 + 95, g + 187 = -5*w. Let f = w + 40. Suppose -7 = f*z - 46. What is the units digit of z? 3 Let u = -1 - -6. Let i(a) = -9 + 85*a - 1 + u + 6. What is the units digit of i(2)? 1 Suppose -7*q - 7*q +
{ "pile_set_name": "DM Mathematics" }
18. Suppose 3*i - m*l - 1288 = -10*l, i = -3*l + 440. List the prime factors of i. 2, 107 Let s(w) = 8*w**2 - 26*w**2 + 3*w**2 + 9*w**2 - 26*w + 9*w**2 + 76. List the prime factors of s(-14). 2, 257 Suppose -5*k = -9*k - 5*i + 20, 3*i - 12 = -3*k. Suppose 4*b - 2536 = 4*h, k*b - 2*b - 1922 = 3*h. Let j = -379 - h. List the prime factors of j. 7, 37 Let b = 24 - 30. Let q(g) = -g**2 - 6*g + 8. Let j be q(b). Suppose j = -4*i + 28. List the prime factors of i. 5 Let q = 9583 + -2907. What are the prime factors of q? 2, 1669 Suppose -7*w - 210392 = -63*w. Suppose 11*t - w = 71. List the prime factors of t. 2, 3, 29 Suppose -4 = r - 2*q, -4*r - q + 4*q = 1. Suppose 7*h - 2*h = -4*p + 2279, -r*p + 1146 = -4*h. List the prime factors of p. 571 Let g = -166 - -519. List the prime factors of (g/(-3))/(6/(6 + -24)). 353 Suppose -4 = 2*v - 8. Suppose -4*h - 4*l + 7 + 1 = 0, 2*h + 3*l - v = 0. Suppose -6 = -2*f, c + h*f = -c + 260. What are the prime factors of c? 2, 31 Let p be (0 - -1) + (-4)/(4/(-5)). Suppose 2*i - p = c, 5*i + c + 11 = 8*i. Suppose -k + 26 = -3*l, l = -i*k + 2*k + 108. List the prime factors of k. 5, 7 Let y(f) = -f**2 + 1. Let q(l) = 3*l**2 + l + 135. Let c(h) = q(h) + y(h). Suppose 4*u + 8*u = 0. List the prime factors of c(u). 2, 17 Let k = -18 - -24. List the prime factors of 424 - k - 20/(-4). 3, 47 Suppose -13*c + 89323 - 9633 = 0. List the prime factors of c. 2, 5, 613 Let b = 18408 - 15588. What are the prime factors of b? 2, 3, 5, 47 Let h(y) = -y**3 + 16*y**2 - 3*y + 32. Let g be h(16). Let z(q) = 2*q**2 + 17*q + 2. List the prime factors of z(g). 2, 11 Suppose -25*i - 22*i = -35*i - 143460. What are the prime factors of i? 3, 5, 797 Suppose -2*o = -5*m + 20, -4*m - o = -11 - 5. What are the prime factors of -2 - (-21 + m)*23? 389 Suppose -z - 16452 = -3*c + z, -21913 = -4*c - 5*z. List the prime factors of c. 2, 2741 Suppose -5*k = -494 + 469. What are the prime factors of 20/(-8)*(-58)/k? 29 Let x(f) = 2*f**3 - 9*f**2 - 112*f + 38. List the prime factors of x(18). 2, 5, 677 Let r = 16 + -11. Suppose r*a = -3*l - 250, 316 = -4*l + a + a. Let n = l - -166. What are the prime factors of n? 2, 43 Let r = 9881 + -6365. List the prime factors of r. 2, 3, 293 Let h(r) = r**3 + r**2 + r - 132. Let s be h(0). Let u be (s/(-55))/((-4)/(-30)). List the prime factors of ((-12)/u)/(4/(-18)) + 23. 2, 13 Let h(d) = 2*d**3 + d**2 - 101 + 205 - 97 - 5*d. What are the prime factors of h(5)? 257 Let n be (-1 - 2)/(6/(-20)*2). Suppose -966 = -4*l + 2*a - n*a, 0 = 5*l - 3*a - 1194. What are the prime factors of l? 2, 3, 5 Suppose 2*l + 4*w - 49702 = 0, -10*w + 5*w - 273280 = -11*l. What are the prime factors of l? 5, 4969 Suppose -o - 4*o + 25 = 0. Suppose -7*c + 811 = -3137. Suppose o*k - c = -k. What are the prime factors of k? 2, 47 Suppose -10*q + 67460 - 22093 + 90323 = 0. List the prime factors of q. 3, 4523 Let r = 97 - -15. Suppose -6 = 2*p, p = -4*c + r + 653. What are the prime factors of c? 2, 3 Suppose 8*c = -319 - 145. Let u = -43 - c. List the prime factors of 2158/u - (-2)/15. 2, 3 Let h(q) = q**3 - 41*q**2 + 314*q - 209. What are the prime factors of h(36)? 5, 13, 71 Suppose t = 5*m - 46146, -229*t = -3*m - 232*t + 27684. What are the prime factors of m? 11, 839 Suppose -2*o + 25 - 21 = 0. Suppose 2*y = 2*l - 3*l + 4, o*l - 9 = -5*y. Suppose -l*x + 84 + 188 = 4*r, -r + 62 = 2*x. What are the prime factors of r? 2, 5, 7 Suppose -15 = 5*o, w + 4*o = -0*w - 265. Let b be 4/(-14) + w/(-77). Suppose 5*f - 5*z - 180 = 0, 0*f - f + 30 = -b*z. List the prime factors of f. 3, 13 Let p(t) = -2*t**3 + 32*t**2 - 24*t + 1. What are the prime factors of p(11)? 947 Let f(a) = -5*a + 19. Let y(s) = -7*s - 26. Let i be y(-7). Let j be f(i). Let m = j - -223. List the prime factors of m. 127 List the prime factors of 1/((-14)/(-19060))*(17 + -2 + -8). 2, 5, 953 Let v(o) be the first derivative of -33*o**2/2 + 6*o + 1. Suppose 2*l = -3*x - 19, 15 = -x - 2*l - 3*l. List the prime factors of v(x). 3, 19 Suppose 13278 = 2*z - 4*t, 37*z + t - 26538 = 33*z. List the prime factors of z. 5, 1327 Suppose 5*p = -0*b + 2*b - 22, -5*b + p + 101 = 0. Let a(d) = -2*d + 44. Let h be a(b). Suppose 0 - 3 = 3*v, 69 = h*j - v. List the prime factors of j. 2, 17 Suppose -3*a - 7*s + 2*s = -107, 2*s + 10 = 0. Let b = -1 + a. Let n = -28 + b. List the prime factors of n. 3, 5 Let o be -4 + (-3)/(12/(-16)). Suppose 2*g + o*d = -2*d + 8, -3*g = -5*d - 4. What are the prime factors of (-3)/6*(-768)/(g + 1)? 2, 3 Let z(n) = n**2 - 9*n + 15. Let v be z(7). Let x = v + 5. Suppose -24 = -x*c + 3*c. What are the prime factors of c? 2 Let y be (0 - -2)*60/(-8). Let s(w) = 15 + 9 - 22 - w. What are the prime factors of s(y)? 17 Suppose -56*q + 30926 = -115962. What are the prime factors of q? 43, 61 Suppose 57*d - 62*d + 8361 = -24169. What are the prime factors of d? 2, 3253 Let m(r) be the third derivative of 17/6*r**3 + 0*r - 7/60*r**5 + 0 + 1/60*r**6 + 23*r**2 - 11/24*r**4. What are the prime factors of m(6)? 131 Suppose 0 = 8*r - 0*r - 8. Suppose 10 + 35 = 3*v + 3*z, -2*z = -4*v + 54. What are the prime factors of -1 - ((-156)/v - r/(-7))? 2, 5 Suppose 27*r - 7395 - 21576 = 0. Suppose 645 + r = 2*x. What are the prime factors of x? 859 Let p(h) = 2*h**3 - 10*h**2 - 17*h + 13. Let t be p(6). Let c(i) = 39 + 0*i**3 + 3*i**3 - 4*i**3 - 17*i**2. List the prime factors of c(t). 3, 13 Let z(k) = 7*k - 4. Let d(a) = -a. Let t(m) = 5*d(m) + z(m). Let w be t(4). Suppose -320 = -w*f - 4*c, -2*c = f - 0*c - 76. List the prime factors of f. 2, 3, 7 Suppose 0 = 4*b - o - 54217, 25*o = -2*b + 22*o + 27119. What are the prime factors of b? 5, 2711 What are the prime factors of (-11)/(55/(-35428)) - 39/65? 5, 13, 109 Let s = 9827 - -12888. What are the prime factors of s? 5, 7, 11, 59 Let y be -4*10/(-4) - 5. Let t be (-2 - y)*(-36)/63. List the prime factors of -168*1*t/(-12). 2, 7 Let g be (39 + -19)*78/(-4). Let i = -222 - g. Suppose 52*k + i = 54*k. What are the prime factors of k? 2, 3, 7 Let z(n) = 3632*n**2 + 39*n + 3. What are the prime factors of z(-2)? 97, 149 Let z(v) = -2*v**3 + v**2 + 1. Let g(r) = -735*r**3 + r - 2. Let i(j) = g(j) + 2*z(j). What are the prime factors of i(-1)? 2, 5, 37 Suppose 7*t - 12*t + 4*j + 215 = 0, 0 = t - 2*j - 37. Suppose 4 + 1 = n. Suppose 0*a = -3*a + 2*q + 98, -2*a + t = -n*q. List the prime factors of a. 2, 3 Suppose -156*k + 5362217 = 1500281. List the prime factors of k. 2, 3, 2063 Let b(n) = -n**3 - 7*n**2 - 5*n - 9. Let a be b(-7). Let x = 29 - a. Suppose -j = 3*y - 38, -x*j - j + 2*y = -82. List the prime factors of j. 23 Suppose -f + 102 + 338 = 4*r, -2*f + 905 = 3*r. Suppose 17*l + 8132 - 4392 = 0. Let k = f + l. What are the prime factors of k? 2, 3, 5 Let d = 900 + 2006. What are the prime factors of d? 2, 1453 Let k(t) = -t**3 + 5*t**2 - 5*t + 6. Let x be k(4). Suppose 3*y = -j - 12, 0*j = -3*j + x*y + 19. What are the prime factors of (-1)/j - (425/(-15) + 4)? 2, 3 Let t = -138 + 268. Suppose -31*l - 34 = 121. Let h = l + t. List the prime factors of h. 5 Let l be (-16 - (-1963)/39) + 1/(-3). Suppose 3*h = 2*m + l, -4*h + m + 49 = 2*m. What are the prime factors of h? 2, 3 Let v(l) = l**3 + 4*l**2 - 16*l - 8. Suppose -5*s - 4 = -2*z, 6 = -4*s + 7*s. List the prime factors of v(z). 419 Let a(k) = 108*k**3 - 16*k**2 + 44*k + 28. What are the prime factors of a(6)? 2, 7, 823 Let l be ((-2)/(-4))/((-4)/(-912)). Let o be (0 - (-3)/2)*l. Suppose z - 4*z + o = 0. List the prime factors of z. 3, 19 List the prime factors of ((-2)/5)/((13 + -27)/199430). 2, 7, 11, 37 Suppose -s = m + 3*s - 4, m + 2 = -s. Let p be 2*(10/(-4) - m). Suppose 4*h - p*u - 182 = 0, -3*h + 2*u = -3*u - 142. List the prime factors of h. 2, 11 Let l be ((-7)/(105/110) + 6)*-45. Suppose -2*x - 5*f + 2563 = 0, 61*x - l*x - 5*f = 1274. List the prime factors of x. 1279 Let z be 9 + -7 + (-2)/(4/(-6)). Suppose -k - 5 = s - 3, z*k - s - 20 = 0. Suppose 0 = q + 3*a - 0*a - 132, 402 = k*q + 3*a. List the prime factors of q. 3, 5 Let o(h) = 2*h**3 - 142*h**2 - 166*h - 1718. What are the prime factors of o(76)? 2, 21713 Let z(y) = 380*y**2 - 846*y - 5830. What are the prime factors of z(-7)? 2, 2339 Suppose 6*m - 2*m + 16 = 0, -m + 307 = p. Suppose h = 4*w - 0*w + p, 15 =
{ "pile_set_name": "DM Mathematics" }
, -2/9, v, l? v Let k be ((5/(-8))/(-1))/((-9)/18). Let b = -31/28 - k. What is the smallest value in -7, 3, b? -7 Let i = -1.212 + 94.562. Let w = 15.25 - i. Let u = -78 - w. Which is the fourth biggest value? (a) u (b) 3 (c) -0.2 (d) 0.3 c Let p = -51.71 - -51. Let s = p - -0.01. Which is the biggest value? (a) -3 (b) -0.2 (c) s (d) -1 b Let t be (-4)/(-60)*((-15)/(-24))/((-3)/(-60)). Which is the third smallest value? (a) -13 (b) 3 (c) t b Let i = -35199/88010 + -1/17602. Which is the third smallest value? (a) 0.5 (b) -2322 (c) -5 (d) i (e) -0.3 d Let j = 0.1635 + -0.2635. Let f = -0.382 - 0.018. Which is the second smallest value? (a) f (b) j (c) 2 b Let f = 884.6 + -876.6. Which is the biggest value? (a) 3/5 (b) 1 (c) -24 (d) f (e) 0 d Let t = 11 - 6. Let s = -223.5 + 223.1. Let w = 4.9 + -0.9. Which is the third smallest value? (a) s (b) -1/12 (c) t (d) w d Let p = 13006 + -13010. What is the fourth biggest value in -5, 24, p, 90, 0.3? p Let v = 962 + -966. Let p(m) = -m. Let s be p(-5). What is the second biggest value in s, v, -5? v Let z = 0.24 - 1.24. Suppose -2*r - 10 = 4*k + 10, -20 = 2*r - 5*k. What is the second smallest value in r, -2, z? -2 Let r = 2.47 - 2.17. Let k = 3925/11 + -356. Which is the second biggest value? (a) r (b) 5 (c) k c Let x = -3099 - -3100. Let n = 3138/35 - 448/5. What is the biggest value in n, x, 3/2? 3/2 Let k = -5556.3 + 5556. Which is the second smallest value? (a) 0 (b) -3 (c) k (d) 3 (e) 3/5 c Let l = -0.5132 + 0.3132. Which is the second biggest value? (a) 1 (b) -1 (c) l (d) -4 c Let t = -169 - -129. Which is the third biggest value? (a) t (b) 0.5 (c) 3 (d) -1 d Let u = -18310 + 18305. Which is the biggest value? (a) 1/5 (b) -2/17 (c) -2/13 (d) -3.3 (e) u a Let u be (-2)/6 - 6/(-45). Suppose g - 69 = -2*d, -d + 42 + 6 = -4*g. Let p be 138/d + -3 - (-1 + 2). Which is the third smallest value? (a) -1 (b) p (c) u b Let b(l) = -l**3 - 14*l**2 - 34*l - 6. Let d be b(-11). What is the fourth biggest value in d, -4, -0.36, -3, 3/5? -3 Let w be 1/10 + (-1342)/220 + 11. Which is the third biggest value? (a) 1/3 (b) w (c) -433.8 c Let v = 62 - 129. Let x = v + 105. Which is the smallest value? (a) x (b) -0.2 (c) -2/3 c Let y = -566.41 - -565.91. Let k be (-1)/(-5) - (-2)/10. What is the second biggest value in k, 1/5, y? 1/5 Let q = -5 - -5.3. Let p be ((-1552)/200 - -8)/((-6)/(-10)). Let i = 0.23 + -4.23. Which is the smallest value? (a) q (b) i (c) p b Let w = 103 + -320. Let h = w + 217. Which is the smallest value? (a) 0.4 (b) h (c) -0.03 c Let i = 1361 + -1355. Let b(z) = 4*z**2 - 1. Let h be b(1). Let t = -4 + 0. What is the biggest value in -0.5, t, i, h? i Let n be ((-50)/15)/(-5) - 37/((-10878)/(-280)). Let h(u) = u**3 - 2*u**2 + 3*u. Let i be h(2). What is the third smallest value in n, 2, i? i Let x(j) = -j**2 + 52*j - 647. Let h be x(21). What is the second smallest value in 4/5, h, 2? 2 Let y = -101.77 - 0.23. Let i = y - -112. What is the third biggest value in -0.05, 5, i? -0.05 Let m be ((-12)/32)/3*-4. Let q = -9544.2 + 9544. What is the second biggest value in 1/4, 1/12, q, m? 1/4 Let k = -4.369 - -4.369. Let u be -1 + -111 + 6/(-3). Which is the second biggest value? (a) u (b) 0.1 (c) k (d) 4/7 b Let p = 0.347 + 478.653. Let j = 483 - p. What is the smallest value in 339, j, -0.3? -0.3 Let r = -126.4 + 126. Let d = -120.4 - -121. What is the fourth smallest value in -5, -1, d, r? d Let m = 53.94928 + 0.05072. Which is the third smallest value? (a) m (b) -4 (c) -0.1 a Let k = 0.14 + -0.25. Let g = 2549.71 + -2550. Let s = g + k. Which is the smallest value? (a) s (b) -0.1 (c) 3 a Let w = 0.30039 - 0.07039. What is the third smallest value in 31, 3, w? 31 Let d = 33/49 - -15/196. Suppose 0 = 2*n + 15 - 3. What is the biggest value in d, n, 9/2? 9/2 Let v = -141 - -5. Let q = 136.4 + v. What is the third biggest value in -5, q, 3/2, -3? -3 Let d = 0.283 + 0.017. Let z be (-1)/(-15) - (84/(-15) - -5). Let g = 4.122 - 0.122. Which is the third smallest value? (a) g (b) z (c) d a Let j = -71642 + 286565/4. Let x = 37 + -26. Let v be (-1)/x*-2 + 0. What is the third biggest value in 1, j, v? j Let y = 2522.5 - 2523. What is the smallest value in 5, -10/17, y, 0? -10/17 Suppose -2*q - 31 = -155. Suppose -9*x + 46 = -q. Let a be 3/((-135)/55) - -1. What is the smallest value in a, x, -2? -2 Let n = 1042 - 2741. Which is the third biggest value? (a) -0.4 (b) n (c) -0.5 b Let h = 275.42 + -1.42. Let p = 270 - h. Let l be 4/10*20/(-68). What is the smallest value in 1/5, -2, p, l? p Let t = -476 - -486. Let x be 15/15 - 4/t. What is the second biggest value in -0.5, -167, x? -0.5 Let z be ((-6)/(-4))/(9/4). Let n = 343 - 343. Let w be (4 - (2 - -1)) + (n - -4). What is the smallest value in w, -1, z, 2/9? -1 Suppose 8 = f - z, -3*z - 46 = -f - 20. Let r = -31/70 + 3/10. Which is the fourth biggest value? (a) r (b) -4/3 (c) -0.14 (d) f b Suppose 130 = y + 4*y. Let n = y - -27. Let t = 52 - n. Which is the third smallest value? (a) -8 (b) t (c) -4 (d) 4 b Let j = 0.05 + 2.95. Let w = -493.01 - -491.01. Which is the fourth biggest value? (a) -2/3 (b) w (c) 4 (d) j b Let m be 12 - 10 - 114/4*35/(-105). Which is the second biggest value? (a) -0.44 (b) m (c) 0.2 c Let o = 334 - 674. Let r = 340.3 + o. Let f be (-2)/8 - 9/60. What is the biggest value in f, r, 17? 17 Let h = -30990/17 + 1823. What is the third smallest value in -2/7, h, 3/8? 3/8 Let a = 17/11 - 855/539. Let d = -9580 + 9582. What is the third smallest value in d, -0.3, a? d Suppose 2*d = 4*v - 2, 13*v - 9*v = -2*d - 18. What is the third smallest value in 3, v, -0.08? 3 Let r = -251 - -249.22. Let v = r - -1.58. What is the third smallest value in 2.8, -3/8, v? 2.8 Let i = -0.36 + 20.36. Let w = i + -29. Let v = 3934 + -3936. Which is the smallest value? (a) v (b) 5 (c) w c Let t be (920/(-120))/((-2)/6). Suppose -4*z = 2*f - 18, -t*z + 26*z = -2*f + 15. Which is the biggest value? (a) 1.5 (b) -2 (c) z c Let v = 32.3 - 32.77. Let u = v + 0.27. What is the third biggest value in 0.3, u, -1/9? u Let o = 0.7 + -4.7. Let w be (-7)/(28/24)*8/168. Let l = 0.5 + -0.1. Which is the fourth smallest value? (a) 4 (b) o (c) l (d) w a Let j = -5 - -9. Let n be (-3)/30*(24 + -23)*-3. Let l = -1.52 - -3.52. Which is the third smallest value? (a) n (b) j (c) l b Let r = 99 + -73. Let b = 25.6 - r. What is the biggest value in -5, -0.1, -2, b? -0.1 Let z = -33 - -33.7. Let b be -3*1*(15136/(-35217) + (-18)/(-39)). What is the second biggest value in 0.8, b, z? z Let p = 180 - 84. Let x = p + -91. Which is the third biggest value? (a) -3 (b) -0.03 (c) x a Suppose -5*l = -3*a - 1500, 5*l = -0*l - 2*a + 1475. Suppose -l = 5*h - 137. What is the biggest value in -1, 2, h? 2 Let n = -0.293 + 0.193. Suppose 0 = -5*v - 4 + 24. Let y be (-1)/v + 504/1248. Which is the biggest value? (a) 3 (b) n (c) -2/17 (d) y a Let v be (6/5)/(12/(-40)). Let f = -3.4 + 3.9. What is the fourth biggest value in -8, -1/9, f, v? -8 Suppose -739 = 21*v + 3797. Which is the third smallest value? (a) 2/13 (b) v (c) 1/5 (d) 2 c Let d = -124.5 - -126.4. Which is the biggest value? (a) 3 (b) -4 (c) d a Suppose -116*q + 1924 = -7124. Let z = 2 + -5. Let x be (-82)/q*-3 + z. Which is the third smallest value? (a) x (b) -0.3 (c) -0.4 a Let j = 2717 + -2715. Which is the third smallest value? (a) j (b) -0.19 (c) -0.5 (d) 0 (e) -1/4 b Let m = -6 - -5.7. Let n be ((-6)/42)/(2/(-14)). Let r be n/((-21)/(-140)) + -6. Which is the biggest value? (a) r (b) -4/7 (c) 4 (d) m c Let n be 7/21 + 22/(-102). Let u be 1*-3*(315/(-75))/(-21). What is the third smallest value in n, 5, u? 5 Let y = -8724 + 8719. Which is the third biggest value? (a) 0.18 (b) -1 (c) -3 (d) y c Let k = -6273 + 5894.025. Let z = -383 - k. Let v = -0.025 - z. Which is the smallest value? (a) v (b) 0.1 (c) 5 b Let w = 259 + -589. What is the fourth smallest value in w, -0.2, -0.1, 3/2, 2? 3/2 Let n = 32150 + -32147. Which is the third biggest value? (a) 3/2 (b) n (c) 0.5 (d) -201 c Let u = 13 + -9. Let f = -0.06713 - 1.93287. Which is the biggest value? (a) f (b) u (c) 0.4 (d) 0.5 b
{ "pile_set_name": "DM Mathematics" }
- 3*u, -14 = -p*b - 5*u. Suppose b*x = 19 + 45. What is the tens digit of x? 3 Let a(n) = -32*n + 11 + 19 + 1 + 51*n. Let b be a(-3). Let x = 75 + b. What is the units digit of x? 9 Let z(i) = 826*i**2 + 5*i - 5. Let n be z(1). Let t = -373 + n. What is the tens digit of t? 5 Suppose -4*p - 2*g + 316 = 0, -2*g - g = -6. Let q(o) = -53*o + p*o - 3 + 1. What is the units digit of q(1)? 3 Let v be (-100053)/54 - ((-2)/(-12))/1. Let c = v + 3429. What is the hundreds digit of c? 5 Let f = 16 + -7. Let t(c) be the first derivative of 5*c**2/2 + 8*c + 402. What is the tens digit of t(f)? 5 Suppose 16*u - y - 10926 = 15*u, 43695 = 4*u + 5*y. What is the tens digit of u? 2 Let k = 137 - 137. Suppose k = -2*n - 2*f + 34, 2*n - 4*f = 5*n - 52. What is the units digit of n? 6 Suppose -44 = 4*l - 4*s - 4, -5*s = -25. Let b(u) be the first derivative of u**3 + u**2/2 + 2*u + 40. What is the tens digit of b(l)? 7 Let z = 167 + -64. Suppose 4*b - 216 = 4*q, z = 2*b - 0*q - q. Let k = b - 34. What is the units digit of k? 5 Suppose -5 = 4*w - 5*w. Suppose w*m - 896 = m. Suppose 3*q + m = 4*q. What is the hundreds digit of q? 2 What is the hundreds digit of ((-64)/14)/8 + (-277960)/(-56)? 9 Let v = 1083 + -240. Suppose 0 = 9*z - 669 - v. What is the tens digit of z? 6 Let r(w) = -w**2 + w + 2. Let g(k) = k**2 + 18*k - 18. Let n(m) = -g(m) - 4*r(m). What is the tens digit of n(8)? 2 What is the thousands digit of 1408*(-9)/(-18)*6/3? 1 Let v(n) be the second derivative of 29*n**3/2 + 21*n**2/2 + n + 38. What is the units digit of v(4)? 9 Suppose 147*t - 168*t = -161679. What is the hundreds digit of t? 6 What is the units digit of -50 - -51 - -5*8? 1 Let d = 770 - 1337. Let b be (4/(-9))/(9/(d/14)). Suppose -163 - b = -h. What is the tens digit of h? 6 Let n be ((-54)/8)/(-2*(-6)/(-8496)). Suppose -3603 = -3*l - 4*c, 3*c + n = 22*l - 18*l. What is the tens digit of l? 9 Let r(a) be the first derivative of 2*a**3 + 9*a**2/2 + 37*a + 37. What is the units digit of r(8)? 3 Let z = 48 - 0. Suppose -4*h - 30 = -2*l, -4*l = -3*h - z + 3. Suppose 6*i - l*i + 321 = 0. What is the hundreds digit of i? 1 Let r(c) = -2*c**3 + 9*c**2 + 7*c - 3. Let f be r(5). What is the tens digit of (7/(f/(-74)))/(2/(-4))? 4 Suppose 5*l = -3*a + 1786, -a - 8*l = -7*l - 596. Let m = a + -112. What is the tens digit of m? 8 Let u(n) = -n**2 + n - 2. Let v be (-3)/1 + 7 + 3. Let o be u(v). What is the tens digit of o/(-6)*90/20? 3 Suppose 19 = -2*x - 4*l - 25, -2*x - 44 = -l. Let d = x - -26. Suppose -m = -3*h - 3*m + 485, d*h = 4*m + 640. What is the hundreds digit of h? 1 Let o = -658 - -2029. Suppose -3*z - 3*x = -o, -2*z + 884 = -0*z - 4*x. What is the hundreds digit of z? 4 Suppose 9*a + 407 = 20*a. Suppose -a*l + 32*l + 1820 = 0. What is the tens digit of l? 6 Suppose 6*b + 22 = -8. What is the hundreds digit of (69/(-46) - b/(-2)) + 715? 7 Let j = -238 - -379. Suppose 16*a - 18*a + g + 284 = 0, -a + j = -g. What is the tens digit of a? 4 Let w(z) be the third derivative of 1/30*z**5 - 1/4*z**4 + 2/3*z**3 + 0*z + 13*z**2 + 0. What is the units digit of w(6)? 0 Suppose 2*i + 44738 = 2*j, 3*j - 6669 = -i + 60434. Suppose 2*n = -30*n + j. What is the units digit of n? 9 Suppose 4*v = q + 497, -4*v + 4*q + 500 = -0*q. Suppose 5*a - 2*d + 6 = 0, 0*a + 2*a - 15 = -5*d. What is the units digit of ((-3)/(-4))/(a + 1/v)? 3 Suppose 4*t - 3*t - 1139 = 0. What is the tens digit of t? 3 Let x be 11/33 + (-11)/(-3). Suppose 0 = -4*s + x, 0 = 4*a + 5*s - 1290 - 4319. What is the tens digit of a? 0 Let m(o) = 2080*o + 45619. What is the tens digit of m(0)? 1 Let d = -496 - -322. Let g = 456 + d. What is the hundreds digit of g? 2 What is the thousands digit of ((-602260)/(-35))/(-2)*(-2)/4*7? 0 Let n(f) = -f**2 - 24*f - 38. Let s be n(-10). Let o be (-382)/(-4) + -5 + 36/8. Let u = s - o. What is the units digit of u? 7 Suppose -j + 11589 + 6120 = 5*r, -10628 = -3*r + 2*j. Suppose 615 = 4*u - 2*s - 2921, -5*s = -4*u + r. What is the tens digit of u? 8 Let v = -1967 + 2187. What is the hundreds digit of v? 2 What is the tens digit of (-7308174)/(-1455) + (1 - 8/10)? 2 Suppose -8*b + 3*b + 75 = 0. Suppose 21*j = b*j + 24. Suppose 0 = -q - 2*i + 35, -j*i = -q - 0*i + 47. What is the units digit of q? 9 Suppose 197329 - 35326708 = -419*c. What is the ten thousands digit of c? 8 Suppose 0 = 31*d - 47 - 77. Suppose 953 = 3*h + 5*p, -d*h - p + 1324 = -5*p. What is the units digit of h? 6 Let o(x) = 495*x - 5650. What is the units digit of o(122)? 0 Let u = 372 - 468. Let o = u - -1129. What is the thousands digit of o? 1 Let t = -127 - -458. Suppose -20 = g - t. What is the units digit of g? 1 Let t(d) = 8*d + 94. Let s(b) = 2*b - 8. Let l be s(7). What is the tens digit of t(l)? 4 Let l(f) = -43*f - 5. Let c be l(5). Let y be (4 - (3 + c)) + -2. Suppose -y = -4*q + 85. What is the units digit of q? 6 Let v(m) = 147*m**2 + 37*m + 168. What is the tens digit of v(-6)? 3 What is the tens digit of -9*(139304/6)/(-22)? 9 Suppose 55*p + 11*p = 264396. What is the hundreds digit of p? 0 Let k = 5 + -3. Suppose 25*m - 1408 = -19*m. Suppose k*v = v + m. What is the units digit of v? 2 Suppose 9 = 7*q - 103. Suppose 2*l - 2*x = 22, -5*l + 27 = -2*x - q. What is the units digit of l? 7 Suppose -77 = 2*q - 71, 5*q + 247807 = 4*d. What is the ten thousands digit of d? 6 Let u be ((-8498)/(-28) + -4)/(1/2). Suppose u = 5*r + 7*f - 5*f, 4*f - 365 = -3*r. What is the tens digit of r? 1 Let v be (-6)/(-18) - (-15)/9. Let i be (112/49 - 2/7)*v. Suppose -413 = -i*r + 659. What is the hundreds digit of r? 2 Suppose 12*w - 730 - 110 = 0. Let u be 156/(-1 + 0)*w/(-140). Let z = u - 44. What is the tens digit of z? 3 Let z(p) = p**3 - 6*p**2 - p + 5. Suppose 0 = m + 4*n - 14 - 12, 2*n = 10. Let a be z(m). What is the tens digit of (-1)/((-4)/8*a) + 16? 1 Let r(p) be the first derivative of 23*p**2/2 - 58*p - 87. What is the hundreds digit of r(13)? 2 What is the tens digit of (-1 - 0) + (-679325)/(-75)*3? 7 Suppose -10*x + 5*x + 18 = 2*q, -5*x = -5*q + 10. Suppose -4*t - 5*y = -1641, 28*y = q*t + 23*y - 1631. What is the hundreds digit of t? 4 Let u = -656 - -1192. Let p = -248 + u. What is the tens digit of p? 8 What is the thousands digit of (-8)/(-6)*-3*(-16749901)/1082? 1 Suppose -z + 154 - 196 = 2*p, p - 3*z = 0. Let j be -2*2/(-4)*-4. What is the units digit of 3 + 34/51*p/j? 6 Let d(f) = 22*f**2 - 62*f - 3156. What is the hundreds digit of d(-56)? 3 Suppose -59*j - 4*f = -62*j - 220, 3*j + f + 245 = 0. Let h = j - -125. What is the units digit of h? 5 Suppose 0 = g - 6*p - 13066 - 82, 0 = -5*g + 4*p + 65558. What is the thousands digit of g? 3 Let w = 36243 - -10468. What is the thousands digit of w? 6 Suppose l + 0*u = u + 6, -4*u - 14 = l. Suppose 3*d + d = -l*x + 1508, 5*d = -2*x + 1505. Suppose 3*i = 8*i - x. What is the tens digit of i? 5 What is the hundreds digit of (-6)/(-10) + (-27396)/(-27)*6/20? 3 Suppose -3*t = 3*z - 111, 3*t = -2*t + 3*z + 161. Let x = -34 + t. Suppose x = p + 6*p - 63. What is the units digit of p? 9 Let c(l) = -9*l + 8 + 7 + 4 + l**3 - 5*l**2 + l**3. What is the hundreds digit of c(6)? 2 Suppose 0 = 10*m + 10*m - 48000. What is the tens digit of m/14 + (-4)/(-7)? 7 Suppose -188*m - 153104 = -195*m. What is the ten thousands digit of m? 2 Let y(m) = m**3 - 10*m**2 - 10*m + 45. Let c(q) = q**3 - 5*q**2 - 20. Let x be c(6). What is the hundreds digit of y(x)? 4 Let a(j) = 566*j - 111. Let y be a(-3). What is the hundreds digit of (-692)/(-3)*y/(-268)? 5 Suppose -32*i + 53867 + 44906 = -121099. What is the tens digit of i? 7 Let m(w) = 221*w + 177. What is the hundreds digit of m(5)? 2 Let b be (3 + (-52)/(-12))*3. Suppose -16 = -6*f + 182. What is the tens digit of 4030/b - 6/f? 8 Let s be ((-16325)/(-4))/5 + (-9)/36. Let m = s + -381. What is the units digit of m? 5 Suppose 0 = -6*g + 3*g + 1074. Let o = g + 52. What is the units digit of o? 0 Let n(g) = 16*g**3 - 8*g**2 - 9*g - 25. Let b be n(-4). Let v = b - -1924. What is the tens digit of v? 8 Let v be -11 - -13 - (-108)/(-1) - 1. Let c = 155 + v. What is the units digit of c? 8 Suppose -5 = 5*r, -z + 5*r - 27 - 13 = 0. Let s = z + 48. Suppose 0 = -s*w + 599 + 10. What is the hundreds digit of w? 2 Let p(n) = 6*n**2 + 24*n - 12. Let
{ "pile_set_name": "DM Mathematics" }
346721891 composite? True Is 127094777 composite? False Is 117397097 composite? True Is 217772263 a prime number? False Is 554904511 composite? True Is 126144514889 a composite number? False Is 47685644894 prime? False Is 89133019 a composite number? False Is 2327665061 prime? True Is 20156449 composite? True Is 7966498363 prime? True Is 98344982287 prime? True Is 4321437583 a composite number? False Is 2095241497 composite? False Is 1881493043 composite? True Is 56243045761 composite? True Is 6339533797 prime? False Is 91092010717 a prime number? False Is 1190109787 composite? False Is 1956774541 a prime number? True Is 881825941 a composite number? False Is 834872867 a composite number? False Is 6839311301 a composite number? False Is 3459601729 a composite number? True Is 2345746933 a composite number? False Is 482613779081 a composite number? True Is 10254534139 a prime number? True Is 85984341517 prime? True Is 2774840209 a prime number? True Is 3469615483 a prime number? True Is 6073955599 prime? False Is 463195093 prime? True Is 1292879531 a composite number? False Is 84748406351 a composite number? True Is 1243789886897 prime? True Is 3684413567 prime? False Is 1292143537 a composite number? False Is 893788879 a composite number? True Is 6989500891 prime? True Is 579006317 a composite number? False Is 1699606099 a prime number? True Is 613982741 composite? False Is 696309379 composite? True Is 29991691 a prime number? True Is 284477267 prime? False Is 2505778039 composite? False Is 36513876419 prime? True Is 103334689 composite? False Is 23362975693 prime? False Is 723713159 a composite number? True Is 561947377 a prime number? False Is 2533374127 composite? True Is 618337189 a composite number? True Is 34508025611 composite? True Is 1840346537 a prime number? True Is 1683766537 composite? False Is 350890469 a prime number? True Is 10311391681 prime? False Is 140189669 a composite number? True Is 25958460439 a composite number? False Is 1047186227 composite? True Is 32117671 composite? False Is 85127519027 composite? False Is 26724873397 a composite number? False Is 402939692581 composite? False Is 1143444271 a composite number? True Is 283964587 a prime number? True Is 1283106587 a prime number? False Is 27654722047 composite? False Is 607323557 a prime number? False Is 50661094801 a prime number? True Is 10441936397 a composite number? True Is 3344937439 composite? False Is 1822364345 prime? False Is 1137193887 a composite number? True Is 47896637147 prime? True Is 2474213407 a composite number? False Is 389787929 a prime number? True Is 90666638221 a composite number? True Is 969227585 a composite number? True Is 199848233 a prime number? False Is 50247397427 a composite number? True Is 96201169 prime? False Is 144156217 prime? True Is 63799987 composite? False Is 661275763 composite? False Is 1187968827 composite? True Is 4600977047 prime? False Is 31321144109 a prime number? True Is 16478745377 prime? True Is 550352197 a composite number? False Is 89065853 a prime number? False Is 9985517977 a prime number? False Is 2743703357 composite? True Is 152349037157 prime? True Is 1274207867 a prime number? True Is 55414746085 prime? False Is 5025233219 composite? False Is 15122125597 a composite number? True Is 321721639463 a composite number? True Is 735313441 prime? False Is 460304423 composite? False Is 80979337 a composite number? True Is 5671234823 composite? False Is 5061682523 composite? False Is 7147529407 a prime number? True Is 5384147311 a prime number? True Is 1533229323 composite? True Is 682475257 prime? True Is 227553372901 a prime number? True Is 1765976857 a composite number? False Is 15798779947 prime? False Is 899252477 prime? False Is 3872459135 a prime number? False Is 4087885759 a composite number? True Is 80285327819 a composite number? False Is 2206646347 prime? True Is 284056932521 a prime number? True Is 4671111197 composite? False Is 291944041 a composite number? False Is 1631130869 a prime number? False Is 49510801979 prime? True Is 83243443 a prime number? False Is 3777501731 composite? False Is 35816312794 composite? True Is 9228300863 a composite number? True Is 16458773489 prime? False Is 14313615479 composite? False Is 22507035391 a composite number? True Is 40999247461 a prime number? True Is 2453490187 a composite number? False Is 100053691 a composite number? False Is 18241102183 composite? False Is 295738523 a composite number? True Is 203334149 prime? True Is 68304091073 composite? False Is 610447963 a composite number? True Is 144193453 a prime number? True Is 507679987 a composite number? False Is 86920937 a prime number? False Is 1437328279 a composite number? False Is 1837543711 a prime number? True Is 31976818201 a composite number? True Is 787543829 composite? False Is 7404102269 a composite number? True Is 121531850657 composite? True Is 12987935381 a composite number? False Is 1950932251 prime? True Is 252701893 a prime number? True Is 51805852873 prime? True Is 4945586693 a composite number? True Is 256710709 a composite number? False Is 2167987609 a composite number? True Is 816030491 composite? True Is 3862337737 a prime number? True Is 485467643 a prime number? True Is 124322531 prime? True Is 20650994123 a prime number? True Is 453053089 a prime number? True Is 44667775109 prime? True Is 221960647 composite? False Is 443533469 a composite number? False Is 1514402777 a composite number? True Is 68656922587 prime? False Is 8983443587 a composite number? True Is 283186294093 a composite number? True Is 131339197321 a prime number? True Is 221306317 composite? True Is 33704906047 a composite number? True Is 162120239 a prime number? True Is 3037172189 composite? False Is 33668371001 prime? False Is 15184692491 a prime number? False Is 55738488263 composite? False Is 48781971841 prime? True Is 174965353721 prime? False Is 694448999 prime? False Is 911233249 composite? True Is 81657253871 a composite number? False Is 692742511 a composite number? True Is 9211523801 a prime number? True Is 2640965137 a prime number? False Is 976099427 composite? True Is 9153820793 composite? True Is 124408435423 a prime number? True Is 5944143683 prime? False Is 1325172227 composite? False Is 702789722 composite? True Is 247701133 composite? True Is 322208827 a composite number? True Is 1894227107 a composite number? True Is 350458049 prime? True Is 792564683 composite? True Is 2705998187 a prime number? True Is 1096954069 a composite number? False Is 6483747971 a composite number? False Is 2723433071 composite? False Is 8048315237 composite? False Is 60231397 prime? True Is 24723516677 composite? False Is 1268053201 a prime number? True Is 50262314863 composite? True Is 777601894537 a prime number? False Is 21046980709 a composite number? True Is 68763563401 prime? False Is 49746157 composite? False Is 57894587 composite? True Is 5319086347 a prime number? False Is 25135574531 prime? True Is 4633816651 prime? False Is 323642749 a composite number? True Is 54701031107 a prime number? True Is 10851323471 a prime number? False Is 48189977687 composite? True Is 7035822581 composite? False Is 515516233 a composite number? False Is 570205957 composite? False Is 11908282073 a prime number? False Is 454299401 a prime number? True Is 9657403655 a composite number? True Is 4147515283 a composite number? False Is 13719350257 a composite number? False Is 882011257 composite? False Is 1555707113 a composite number? False Is 2911200431 a composite number? True Is 207169229 a prime number? False Is 10646187653 a composite number? False Is 336608999 composite? False Is 4036448371 a prime number? False Is 345936739 composite? True Is 1337623015 a prime number? False Is 760657091 a prime number? False Is 13100666753 a composite number? False Is 62180054429 a prime number? False Is 14483217101 composite? False Is 1146610589 a prime number? True Is 47581938709 a composite number? False Is 245402671 a prime number? False Is 5717235731 a composite number? False Is 19144681663 prime? True Is 6727628599 composite? True Is 1161928627 prime? False Is 984807347 a prime number? False Is 1608088189 prime? False Is 1685872781 a prime
{ "pile_set_name": "DM Mathematics" }
ed without replacement from jdladnjaddjjanja? 1/120 Calculate prob of picking 2 l, 1 f, and 1 q when four letters picked without replacement from qclfqcylyllccw. 12/1001 What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 1, l: 3}? 1/2 What is prob of picking 1 c and 1 q when two letters picked without replacement from {q: 1, e: 4, z: 2, c: 2}? 1/18 Three letters picked without replacement from {i: 1, x: 2, a: 4, d: 3, h: 1}. What is prob of picking 1 h and 2 x? 1/165 Calculate prob of picking 2 x and 1 d when three letters picked without replacement from xxxxdaaxppxp. 3/44 Two letters picked without replacement from {n: 6, j: 2}. What is prob of picking 2 j? 1/28 Calculate prob of picking 1 f, 2 i, and 1 g when four letters picked without replacement from {i: 3, q: 10, p: 1, f: 4, g: 1}. 1/323 Three letters picked without replacement from bbsjeesbsxo. What is prob of picking 1 b, 1 o, and 1 j? 1/55 Calculate prob of picking 1 c and 2 v when three letters picked without replacement from vccvcevcgvxccvv. 18/91 Three letters picked without replacement from kiwookookookok. What is prob of picking 2 o and 1 w? 3/52 Calculate prob of picking 1 d and 2 o when three letters picked without replacement from {d: 2, q: 3, z: 2, u: 2, h: 1, o: 2}. 1/110 Four letters picked without replacement from nnnnjnnnnjj. Give prob of picking 4 n. 7/33 Three letters picked without replacement from dydzodyzkdookyzk. What is prob of picking 1 z and 2 k? 9/560 What is prob of picking 1 v and 1 k when two letters picked without replacement from lkklkvkkxd? 1/9 What is prob of picking 2 z and 2 f when four letters picked without replacement from {y: 1, z: 4, f: 8}? 168/715 Calculate prob of picking 2 e when two letters picked without replacement from eeaab. 1/10 Three letters picked without replacement from vfpvvfppkvkkvppkpp. What is prob of picking 2 v and 1 f? 5/204 What is prob of picking 1 i and 1 s when two letters picked without replacement from {n: 1, c: 2, m: 1, s: 1, u: 1, i: 2}? 1/14 Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {m: 4, r: 15}. 140/323 Four letters picked without replacement from hnhnhcnchnnnnnnh. Give prob of picking 1 c and 3 h. 1/91 What is prob of picking 1 g, 1 v, and 1 o when three letters picked without replacement from gvogdggvgogdvodogv? 7/51 What is prob of picking 1 q, 2 n, and 1 j when four letters picked without replacement from qqjjqjjnnj? 1/14 Two letters picked without replacement from {z: 3, p: 11}. Give prob of picking 2 z. 3/91 What is prob of picking 2 y when two letters picked without replacement from {y: 4, j: 1, n: 2, u: 4}? 6/55 Calculate prob of picking 3 d when three letters picked without replacement from {l: 9, d: 10}. 40/323 What is prob of picking 1 j and 1 y when two letters picked without replacement from gjyjggjgg? 1/12 Three letters picked without replacement from {j: 11, z: 5}. What is prob of picking 3 j? 33/112 Three letters picked without replacement from dddddaddddddddjjd. What is prob of picking 1 j and 2 a? 0 Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {r: 3, w: 9}. 27/220 Two letters picked without replacement from sunnspungcsccngg. What is prob of picking 1 u and 1 g? 1/20 Two letters picked without replacement from {y: 7, m: 4}. What is prob of picking 2 y? 21/55 Four letters picked without replacement from jnjnnnxyn. What is prob of picking 3 n and 1 x? 5/63 Two letters picked without replacement from yffffyssffsyf. Give prob of picking 2 f. 7/26 What is prob of picking 3 h when three letters picked without replacement from hghhhhhgh? 5/12 Calculate prob of picking 2 p and 1 a when three letters picked without replacement from {p: 2, a: 2}. 1/2 Three letters picked without replacement from apcccccclplcclal. Give prob of picking 1 c, 1 a, and 1 p. 2/35 Three letters picked without replacement from {m: 3, p: 1, s: 1, o: 2, c: 3}. What is prob of picking 2 p and 1 s? 0 Calculate prob of picking 2 k, 1 c, and 1 o when four letters picked without replacement from {c: 6, k: 2, o: 5}. 6/143 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from ffuffittu. 1/18 What is prob of picking 2 w when two letters picked without replacement from wwwlwwwwl? 7/12 Two letters picked without replacement from rxrxxxvqqxxv. Give prob of picking 2 r. 1/66 Calculate prob of picking 1 d and 2 c when three letters picked without replacement from cccncccdccccc. 5/26 What is prob of picking 2 t when two letters picked without replacement from {u: 1, t: 3, w: 12}? 1/40 What is prob of picking 1 i and 2 g when three letters picked without replacement from {s: 3, z: 1, i: 1, d: 1, t: 3, g: 2}? 1/165 Calculate prob of picking 1 z and 3 j when four letters picked without replacement from {z: 1, a: 1, j: 4, e: 3, o: 7}. 1/455 Three letters picked without replacement from jjjjjjffjjjjjjjjjjjj. What is prob of picking 1 f and 2 j? 51/190 Four letters picked without replacement from {l: 2, a: 4, h: 7, d: 2, y: 2}. What is prob of picking 2 h, 1 a, and 1 l? 6/85 Four letters picked without replacement from ffzrzzzffrf. What is prob of picking 2 f and 2 z? 2/11 Two letters picked without replacement from {s: 11, a: 7, q: 1}. What is prob of picking 1 q and 1 a? 7/171 Two letters picked without replacement from uhuqthtiht. What is prob of picking 2 u? 1/45 What is prob of picking 2 a, 1 w, and 1 v when four letters picked without replacement from uawuurqvwuawvr? 6/1001 Three letters picked without replacement from ooqooqqoqooqqqoo. What is prob of picking 1 q and 2 o? 9/20 Three letters picked without replacement from {z: 9, m: 11}. What is prob of picking 1 m and 2 z? 33/95 Four letters picked without replacement from {x: 3, k: 4, p: 1, m: 3}. What is prob of picking 2 m, 1 x, and 1 p? 3/110 Calculate prob of picking 4 j when four letters picked without replacement from jjojoooooooojj. 5/1001 Three letters picked without replacement from {c: 5, u: 9}. Give prob of picking 2 u and 1 c. 45/91 Two letters picked without replacement from dnddddndnndddddndd. What is prob of picking 2 d? 26/51 Three letters picked without replacement from xvuufvuvhvfuvx. Give prob of picking 1 h and 2 f. 1/364 What is prob of picking 2 b when two letters picked without replacement from bjqgxxbqlxbxqbq? 2/35 Calculate prob of picking 2 d when two letters picked without replacement from xxcxdxcxxcxxpxdx. 1/120 Three letters picked without replacement from wipxw. What is prob of picking 1 p, 1 i, and 1 x? 1/10 Three letters picked without replacement from jnnjnjrjjnrjnnn. Give prob of picking 3 j. 4/91 What is prob of picking 2 i when two letters picked without replacement from {s: 3, i: 5}? 5/14 What is prob of picking 2 a and 2 x when four letters picked without replacement from xaxaaxxaxxaax? 63/143 Calculate prob of picking 2 z and 1 k when three letters picked without replacement from iikiizikzdzk. 9/220 Calculate prob of picking 1 e and 1 d when two letters picked without replacement from deeeeeeedeee. 10/33 What is prob of picking 4 j when four letters picked without replacement from {p: 6, j: 7}? 7/143 What is prob of picking 2 f and 1 p when three letters picked without replacement from {p: 4, f: 2, z: 1}? 4/35 What is prob of picking 2 n when two letters picked without replacement from {s: 10, n: 2}? 1/66 What is prob of picking 1 l, 1 t, and 1 w when three letters picked without replacement from ltltwllwktkwwll? 72/455 What is prob of picking 2 z when two letters picked without replacement from iiuunmzuziznniihz? 3/68 Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {j: 1, c: 6, b: 4}. 2/55 Calculate prob of picking 4 a when four letters picked without replacement from haaahahahhhah. 3/143 Calculate prob of picking 2 h when two letters picked without replacement from {w: 2, e: 1, p: 1, a: 2, h: 2, m: 1}. 1/36 Calculate prob of picking 1 q and 1 p when two letters picked without replacement from rqpqrqqrrpqqqq. 16/91 Four letters picked without replacement from {k: 3, y: 1, q: 2, u: 1, j: 7}. What is prob of picking 3 k and 1 q? 2/1001 Four letters picked wi
{ "pile_set_name": "DM Mathematics" }
s (0 - 2*i**2 + 0)*(-3*i**2 - 6*i**2 + 38*i**2)*(-4 + 2 + 0) in the form a + b*i + d*i**3 + x*i**4 + p*i**2 and give d. 0 Rearrange 49*z**2 - 107*z**2 + 1 + 56*z**2 - 15 to the form d*z + w*z**2 + n and give w. -2 Express -1 + 1 - 2*f**3 + 0*f**3 + 7*f**2 in the form k + t*f + w*f**2 + s*f**3 and give k. 0 Express 2 + g**4 + 9*g**3 + g**2 - 2*g**2 - 2*g**4 - 11*g**3 in the form j*g**4 + z*g**2 + x*g + c*g**3 + f and give c. -2 Express -p**4 - p**2 - 16 + 17 + 5*p**2 - 2*p**3 as b*p**3 + z*p + m*p**4 + r*p**2 + a and give a. 1 Rearrange 42*v**2 + 0*v - 309 - 2*v + 311 to the form i*v**2 + u + m*v and give m. -2 Rearrange 8*t**3 - t**2 + 7*t - 7*t**3 + 13 - 6*t to the form n + m*t**2 + b*t**3 + q*t and give n. 13 Express (-24 + 4 + 6)*(o**3 + 0*o**3 + 0*o**3) in the form l + p*o**3 + v*o**2 + s*o and give p. -14 Rearrange -3 + 1 - 5*t**3 + 3*t**3 - 6 to x + g*t**3 + v*t + w*t**2 and give x. -8 Express 455 - 103*y + 457 - 912 in the form u*y + j and give u. -103 Rearrange (-3 + 3 + 2*t)*(t**2 - t**2 + t**2)*(5*t + 0*t + 8*t) to the form y*t**3 + g*t**2 + u*t + i*t**4 + q and give i. 26 Rearrange (-1 - 3 + 1)*(4 - 3 - 2)*(1 + 0 + 1)*(0 + 0 - 1)*(13*c - 10*c + 10*c) to the form h + g*c and give g. -78 Rearrange 0*w - w + 2*w + (3 - 4 + 4)*(-3*w + 8*w - 7*w) to the form c + m*w and give m. -5 Express (5 + 4*l - 5)*(-l + 2*l - 2*l) - 2*l - 2*l**2 + 2*l + (-2*l + 4*l + 0*l)*(-5*l + 4*l + 2*l) as k*l**2 + m*l + a and give k. -4 Rearrange -2*x + 2*x**2 + 2*x + (0*x**2 + 3*x**2 - 5*x**2)*(-28 + 61 - 18) to the form d*x + u + w*x**2 and give w. -28 Rearrange -31*r + 8*r + 16*r - 38*r to j + x*r and give x. -45 Express m**2 + 1 + 390*m - 390*m - 2*m**3 - 2*m**4 as y*m + d + c*m**4 + z*m**2 + n*m**3 and give n. -2 Rearrange ((1 - 1 - 2*g)*(2 + 10 + 2) - 5*g + 0*g + 4*g - 2 + 2*g + 2)*(3*g - g + 0*g)*(0 + 0 + g) to a*g + p*g**2 + v*g**3 + x and give v. -54 Express 9*x - 13*x + 6*x as p + f*x and give f. 2 Rearrange o**2 - 47*o - 3*o**2 + o**2 to j*o + k*o**2 + v and give j. -47 Rearrange 4 - 1 - 51*o**3 + 55*o**3 to n*o + d*o**2 + i + t*o**3 and give t. 4 Rearrange 5*z**3 - 2*z**3 - 2*z**3 + (20 - 9 + 3)*(z - 2*z - z)*(5*z**2 - 5*z**2 + z**2) to t*z**3 + r + s*z + b*z**2 and give t. -27 Rearrange -37*h - 36*h + 27*h to g*h + s and give g. -46 Rearrange (3 - 3 + 6)*(0 + 0 - g)*(-2*g + g + 2*g) to the form o*g**2 + u + q*g and give o. -6 Rearrange (q**4 + 3*q**4 - 5*q**4)*(-3 - 7 + 49) to the form h*q**2 + f*q**3 + t*q**4 + w*q + l and give t. -39 Express (-3 + 2 + 2)*(-7*k + 72 - 72) + (-4 + 2 + 4)*(0*k + 3*k - k) as g*k + x and give g. -3 Express -6 - 21*a + 4 + 2 as g + z*a and give z. -21 Express (-1 - 3*r**2 + 1)*(2 + 7 + 5) as k*r + o*r**2 + n and give o. -42 Rearrange (2*o**2 + 2*o**2 - 5*o**2)*(-o + 2*o - 2*o) + 35*o**3 + 118*o**2 - 118*o**2 to the form h*o + y + s*o**2 + g*o**3 and give g. 36 Rearrange (-d**3 - 3*d**3 + 2*d**3)*(4*d + d - 4*d) + (-4*d**2 + 3*d**3 + 4*d**2)*(-4*d - 3*d + 0*d) to the form b*d**3 + l*d + h*d**4 + n + i*d**2 and give h. -23 Rearrange (-4*c**3 + c**3 + 2*c**3)*((-15 - 2 - 1)*(-3*c + 0*c + 5*c) + c + 0 + 0) to the form b + h*c + q*c**4 + j*c**3 + u*c**2 and give q. 35 Rearrange 0*o + 5 - 4*o + 2*o to z*o + h and give h. 5 Express 12*w**3 - 11*w**2 + 7*w**2 + w**2 + w**2 + 2 + 2*w as b*w**2 + d + i*w + j*w**3 and give b. -2 Express (-2*v + 2*v + 2*v)*(0 - 3 + 1) + (4*v + 14 - 14)*(1 + 3 - 3) - v + 6*v - v as n + c*v and give c. 4 Rearrange (-7*x**3 + 7*x**3 + x**2 + 5*x**3)*(-102 + 102 - 30*x) to the form p + u*x**2 + o*x**4 + m*x**3 + w*x and give m. -30 Express u + u - u + (-3 - 3 + 4)*(u + 2*u - 2*u) + 576 - 27*u - 576 in the form g + x*u and give x. -28 Express (-2*y + 2*y - 2*y - y + 3*y - 3*y + (0*y + 0*y - 2*y)*(-3 + 2 + 3))*(-4*y**2 + 7*y - 7*y) as r + x*y**3 + l*y**2 + m*y and give x. 28 Rearrange (5*o + 4*o - 4*o)*(-2*o**2 + o - o)*(-9 + 3 - 4) to the form q*o**3 + u*o + j*o**2 + i and give i. 0 Express (84*o + 85*o - 179*o)*(-4 + 4 - 3*o) in the form h*o**2 + y*o + v and give h. 30 Express -5*p + 0*p - 5*p**3 + 3*p as b*p**2 + l + a*p + f*p**3 and give f. -5 Rearrange 0 + c**2 + 0*c**2 - 4 to the form u*c**2 + y + r*c and give u. 1 Rearrange -3 + 3 - 17*y to the form g*y + h and give g. -17 Rearrange -l**2 - 8 - 2 + 3*l**2 + 2 to c*l**2 + g + r*l and give r. 0 Rearrange -k**3 - 2*k**4 - k**2 + 10*k**3 - 4*k**3 - 3 - 7*k**3 to g*k**3 + m + q*k**4 + s*k**2 + w*k and give g. -2 Rearrange -77*x - 3 + x**2 + 77*x to the form v + j*x**2 + k*x and give v. -3 Rearrange (-16*v**3 + 11*v**3 + 12*v**3)*((v - v - 3*v)*(3 + 2 - 7) - 2*v + 2 - 2) to the form i*v**3 + z*v + q*v**4 + k + o*v**2 and give q. 28 Express 2*y - y + 5109 - 5084 + 0*y in the form m*y + k and give k. 25 Rearrange 4*b**2 - 43*b + 43*b + 43*b**2 to j + a*b + z*b**2 and give z. 47 Express -9*b**3 - 9*b**2 + 4*b**2 + 5*b**2 + 1 as a*b**3 + s + d*b + q*b**2 and give a. -9 Rearrange (-3 + 5 - 4)*(4 + 12 - 8)*(1 - 1 + 2*a) to z*a + m and give z. -32 Rearrange (-2 - 3 + 3)*(p - p - p)*(-9 + 0 - 1) to g*p + b and give g. -20 Express 4*p**4 - 5*p**4 + 12*p**4 + (-3 + 3 - p)*(2 + p**3 - 2) in the form v*p**3 + u*p**2 + l*p**4 + y*p + t and give l. 10 Rearrange (0 - 2*m + 0 - 2)*(8*m**3 - 11*m**3 - 22*m**3) to the form p*m**3 + c*m**2 + y + w*m**4 + l*m and give w. 50 Express t + 84*t**2 + 1 + 2 - 83*t**2 as s*t**2 + u + q*t and give u. 3 Rearrange (0*a**4 + 3*a**4 - a**4)*(-1 - 3 - 3)*(17 - 5 + 7)*(-3 + 2 + 0) to the form o*a + l + z*a**3 + b*a**4 + u*a**2 and give b. 266 Express -4*b + 3*b + 3*b - b**3 - 2 as i*b + u*b**3 + z*b**2 + c and give c. -2 Express -5*t - 4*t**2 + 5*t + (6*t - 4*t - t)*(7 - 9 + 7 + 2*t) as u*t + h*t**2 + r and give u. 5 Express (4 - 4 - q)*(0 + 0 + 2*q**2) + 23*q + 33 - 2*q**3 - 33 + 1 + 2*q**2 in the form u*q**2 + s + p*q + f*q**3 and give s. 1 Rearrange 45*i**2 - 99*i**2 + 51*i**2 to the form x*i**2 + q + v*i and give x. -3 Express -4*j + 2*j - 3*j**3 - j**3 - j**4 - j**3 in the form x*j**2 + y*j + b + d*j**4 + n*j**3 and give y. -2 Rearrange (4*a**3 - 2*a**3 + 0*a**3)*(a - 3*a + 3*a) + 0*a + 2*a**4 + 0*a + 58*a**4 - 48*a**4 + 0 + 2 to t*a**2 + z*a**3 + b*a**4 + l + s*a and give l. 2 Rearrange 0 + 2*w**2 + 0 + (-3*w - 3*w + 3*w)*(-3*w + 6*w - 2*w) + 0*w**2 - 2*w**2 + 0*w**2 to z + c*w + l*w**2 and give l. -3 Rearrange -14*l**4 - l**2 - l + 0*l + 13*l**4 to s*l**3 + v*l + x*l**4 + n + f*l**2 and give f. -1 Express 11*k + 2507 + 10*k - 2507 as y + a*k and give a. 21 Rearrange d + d + 12*d + (1 - 1 + d)*(-4 + 8 + 9) to q*d + y and give q. 27 Rearrange -4*i**2 + 11 - 23 + 3 to the form n*i**2 + y*i + c and give c. -9 Express (-2 + 2 + 1)*(6*k - 126*k**2 - 126*k**2 - 2*k**3 + 253*k**2) in the form t*k + f + r*k**2 + b*k**3 and give b. -2 Rearrange -17*n + 18*n + 13*n + 22*n to the form b*n + q and give q. 0 Rearrange -2*r**2 + 2*r - 31*r**4 + 3 + 29*r**4 - 2*r + 4*r to the form m + p*r + f*r**3 + g*r**4 + j*r**2 and give g. -2 Express (-4 - 56*r + 16*r + 2)*(-r + 1 - 1) in the form f*r**2 + x*r + a and give x. 2 Express (0*t - t**3 + 0*t)*(2 - 2 - 1) - 2*t**3 + 7 - 7 + 3*t**3 - 4*t**3 + 3*t**3 as p*t + o*t**3 + i*t**2 + j and give o. 1 Rearrange 0*l**3 + 7*l**3 + 3 - 10*l**3 + 5*l**3 to the form i*l**3 + m*l**2 + p*l + s and give s. 3 Rearrange 3*p + 3*p + 37 - 7*p + (-1 + 2*p + 1)*(-3 + 1 + 3) to the form i + y*p and give i. 37 Rearrange (0*u + 2*u + 0*u)*(-7 + 3 + 2 - 1 - 6 + 4 + (0 + 0 - 1)*(-2 + 3 - 4)) to the form n + h*u and give h. -4 Express (1127 - 28*h - 1127)*(7 + 0 - 1 - 2) in the form w + x*h and give x. -112 Rearrange -5*l + l + 3*l to the form o*l + t and give o. -1 Express -c**4 + 27*c**2 - 56*c**2 - 2*c + 2*c**3 - 4 + 30*c**2 in the form a*c + i*c**4 + k + v*c**3 + p*c**2 and give v. 2 Express (25 - 13 + 3*z - 11)*(-5*z - 2*z + 2*z) as p*z + r*z**2 + y and give r. -15 Rearrange -t**2 - 5 + 6 - 4 + (-t + 5*t - 2*t)*(-t + t - 2*t) + 2*t**2 - 4*t**2 + 0*t**2 to c*t**2 + g*t + j and give g. 0 Express 3*n**3 + n**2 + 0*n**2 - 2*n**4 + 1 + 3*n**4 - 4*n**3 as k*n + a*n**3 + t + f*n**2 + s*n**4 and give t. 1 Rearrange 2*j**2 - 6*j**2 + 3*j**2 - 20*j to the form b + p*j + z*j**2 and give z. -1 Express (-2*l + 3*l + 5*l)*(2*l + l - l)*(-2 - 1 + 2) as q*l**2 + x + u*l and give q. -12 Express -63 + 63 - 11*p**2 - 3 + 3 + p**2 + (2*
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from aphxpvahapl? 1/1320 What is prob of sequence hy when two letters picked without replacement from sssyxynhybyhsss? 4/105 Calculate prob of sequence aa when two letters picked without replacement from aja. 1/3 Four letters picked without replacement from {d: 3, v: 6, x: 3, w: 4, j: 4}. What is prob of sequence jjvx? 3/1615 Four letters picked without replacement from hdygoggohhfdfh. Give prob of sequence hhgy. 3/2002 Calculate prob of sequence ds when two letters picked without replacement from kssssddskdsdsdssd. 27/136 Two letters picked without replacement from jhvhhvvvvhvhzzhvh. Give prob of sequence vv. 21/136 Two letters picked without replacement from prrpepppeeep. Give prob of sequence er. 2/33 What is prob of sequence yu when two letters picked without replacement from wwykuaj? 1/42 Calculate prob of sequence aaq when three letters picked without replacement from llelaaflqlqllbfb. 1/840 Calculate prob of sequence rw when two letters picked without replacement from rrrrrrrw. 1/8 Three letters picked without replacement from ggmggwggmwggmgwgmgwg. What is prob of sequence wmw? 2/285 What is prob of sequence bbj when three letters picked without replacement from {j: 6, b: 2}? 1/28 Three letters picked without replacement from nttnaftnhfhnacffh. What is prob of sequence nha? 1/170 Four letters picked without replacement from {n: 12, g: 3}. Give prob of sequence gngn. 11/455 What is prob of sequence uhuh when four letters picked without replacement from {h: 4, u: 3}? 3/35 Calculate prob of sequence ba when two letters picked without replacement from {z: 2, q: 3, b: 1, a: 1}. 1/42 Calculate prob of sequence hnzh when four letters picked without replacement from jnhjpzzjjlljhpllhjl. 1/7752 Three letters picked without replacement from {m: 1, a: 1, g: 2, y: 2}. What is prob of sequence mya? 1/60 Calculate prob of sequence lk when two letters picked without replacement from {l: 1, u: 3, k: 2, v: 1}. 1/21 Calculate prob of sequence zbjz when four letters picked without replacement from {b: 4, j: 3, z: 13}. 26/1615 Two letters picked without replacement from {r: 5, v: 1, b: 5, x: 4}. Give prob of sequence vx. 2/105 Two letters picked without replacement from {i: 3, z: 2, a: 7, x: 3, k: 5}. What is prob of sequence ak? 7/76 Four letters picked without replacement from {t: 3, o: 5, l: 7, s: 1}. Give prob of sequence osol. 1/312 Three letters picked without replacement from {i: 6, p: 6}. Give prob of sequence pii. 3/22 Two letters picked without replacement from nynnetntttnnypt. What is prob of sequence pt? 1/42 Four letters picked without replacement from {y: 13, c: 5, z: 2}. What is prob of sequence yyyz? 143/4845 Three letters picked without replacement from {u: 2, s: 2}. Give prob of sequence usu. 1/6 Three letters picked without replacement from {u: 1, z: 1, v: 1, g: 1, s: 1}. What is prob of sequence uzv? 1/60 Three letters picked without replacement from {o: 8, z: 2, p: 3, s: 6}. Give prob of sequence pzp. 2/969 Four letters picked without replacement from {o: 2, r: 2, p: 5}. What is prob of sequence poro? 5/756 Two letters picked without replacement from {u: 1, j: 2, p: 1, i: 3}. Give prob of sequence ui. 1/14 Calculate prob of sequence yd when two letters picked without replacement from hmdmmryryhrhmmdhhrr. 2/171 Calculate prob of sequence cbhr when four letters picked without replacement from {n: 1, c: 1, b: 5, r: 3, t: 2, h: 1}. 1/1144 Two letters picked without replacement from ccjq. What is prob of sequence cc? 1/6 Four letters picked without replacement from {v: 4, m: 2, j: 4, w: 10}. What is prob of sequence vmvj? 4/4845 Two letters picked without replacement from {b: 6, f: 3, l: 8, c: 2}. Give prob of sequence fl. 4/57 What is prob of sequence sso when three letters picked without replacement from {o: 1, s: 2, a: 1, r: 1, q: 1, c: 1}? 1/105 Four letters picked without replacement from ltvrrrlrttttttrrtvtt. What is prob of sequence tltl? 1/646 Four letters picked without replacement from {h: 4, a: 2, u: 2}. Give prob of sequence auua. 1/420 What is prob of sequence dt when two letters picked without replacement from {t: 2, g: 5, i: 1, d: 1, e: 3, h: 3}? 1/105 Three letters picked without replacement from doaoeeddddddd. Give prob of sequence oed. 8/429 What is prob of sequence yx when two letters picked without replacement from {y: 6, x: 4}? 4/15 Four letters picked without replacement from qqbbqqqbbqbbb. Give prob of sequence qqqb. 7/143 Four letters picked without replacement from {o: 4, z: 1, v: 11, t: 2, p: 1}. Give prob of sequence vpov. 55/11628 Four letters picked without replacement from {t: 6, e: 5, y: 1, f: 4, q: 4}. What is prob of sequence effy? 1/1938 Calculate prob of sequence fm when two letters picked without replacement from fmlllfnfllllfffbfb. 7/306 What is prob of sequence tcx when three letters picked without replacement from {u: 1, x: 2, t: 1, c: 1}? 1/30 Two letters picked without replacement from ccczzzzeze. What is prob of sequence ce? 1/15 Calculate prob of sequence oo when two letters picked without replacement from oeeooe. 1/5 What is prob of sequence ai when two letters picked without replacement from wqcacicc? 1/56 Four letters picked without replacement from {t: 1, n: 1, w: 1, g: 1, i: 4}. Give prob of sequence giit. 1/140 What is prob of sequence zrrr when four letters picked without replacement from rrrrrrzrzrrrrrrrrrrz? 2/19 Two letters picked without replacement from {n: 1, a: 1, z: 1}. What is prob of sequence zn? 1/6 What is prob of sequence exg when three letters picked without replacement from xexgxgxmx? 5/252 Calculate prob of sequence mm when two letters picked without replacement from nmnmmnmnnnmnnmmmmn. 4/17 Calculate prob of sequence yo when two letters picked without replacement from yyoyoyyyy. 7/36 What is prob of sequence gzzo when four letters picked without replacement from {e: 1, h: 1, o: 2, g: 1, z: 2}? 1/210 Four letters picked without replacement from hzeezzazhezeeyzzzaya. Give prob of sequence ehaz. 2/969 Two letters picked without replacement from fzezflb. What is prob of sequence ff? 1/21 Three letters picked without replacement from gouuuyygeeyueueeog. Give prob of sequence oyg. 1/272 Calculate prob of sequence hncn when four letters picked without replacement from hhhnhnnzccnzncc. 8/819 Two letters picked without replacement from {k: 17, p: 2}. What is prob of sequence kp? 17/171 Four letters picked without replacement from fpneppenpyn. Give prob of sequence feep. 1/990 Calculate prob of sequence ef when two letters picked without replacement from {f: 1, d: 2, y: 2, e: 2, x: 3, h: 2}. 1/66 Four letters picked without replacement from {p: 2, r: 2, e: 2}. Give prob of sequence eppe. 1/90 Calculate prob of sequence vxp when three letters picked without replacement from {w: 11, p: 1, v: 3, o: 1, x: 2, h: 1}. 1/969 Calculate prob of sequence aap when three letters picked without replacement from {a: 3, p: 11}. 11/364 Calculate prob of sequence qq when two letters picked without replacement from {a: 10, m: 6, q: 4}. 3/95 Calculate prob of sequence bp when two letters picked without replacement from {b: 1, p: 2, a: 5, e: 3, l: 1}. 1/66 Four letters picked without replacement from uxlllllxlxloxluxxx. Give prob of sequence oxux. 7/6120 What is prob of sequence bqzm when four letters picked without replacement from qmquyymmymzymqqzbmz? 1/1292 What is prob of sequence hx when two letters picked without replacement from {x: 4, i: 3, h: 4}? 8/55 Two letters picked without replacement from tjwjjawjt. Give prob of sequence ta. 1/36 Calculate prob of sequence rmm when three letters picked without replacement from {m: 6, d: 2, r: 2, u: 1}. 2/33 What is prob of sequence zbq when three letters picked without replacement from {q: 2, z: 1, b: 1}? 1/12 What is prob of sequence vddv when four letters picked without replacement from vvddvddddvdvvvdddvvd? 22/323 What is prob of sequence yxxx when four letters picked without replacement from {y: 7, x: 3}? 1/120 Four letters picked without replacement from vrrjk. Give prob of sequence jvvj. 0 What is prob of sequence qzf when three letters picked without replacement from {z: 2, q: 3, f: 2, o: 2}? 1/42 Two letters picked
{ "pile_set_name": "DM Mathematics" }
- 4. Let r(q) = -3*q**2 - 11*q + 8. Let n(g) = -9*o(g) - 4*r(g). What is the units digit of n(3)? 8 Let s(v) = v**2 - 8*v - 2. Let g be s(8). What is the units digit of 9/((-3)/g - 0)? 6 Let p(w) = w**3 - 8*w**2 + 9*w - 10. Let v be p(7). Suppose 0*o + o = v. What is the units digit of o? 4 Suppose 0 = 8*p - 17*p + 3123. What is the tens digit of p? 4 Let y = 225 - 133. Suppose 3*d - 4*w - w - y = 0, -83 = -2*d - w. What is the units digit of d? 9 Suppose 10 = -0*w + w. What is the units digit of (w/7)/(4/28)? 0 Let h(n) = -4*n - 5. Suppose -4*s + 8 = 4*b, -2 - 10 = -4*s - 3*b. Let i = -10 + s. What is the tens digit of h(i)? 1 Suppose 189 = 3*y + 5*v, 0 = -2*y + 5*v + 15 + 86. What is the tens digit of y? 5 Let s = -141 - -242. What is the tens digit of s? 0 Let v = -4 + 1. Let c be v*(-1 - (3 + -2)). Suppose -c = -x - 5. What is the units digit of x? 1 Let d be 171/(-13) - 4/(-26). Let b = d - -30. What is the tens digit of b? 1 Let j(c) = -c**3 + 5*c**2 - 4*c + 3. Let l be j(4). Suppose 16 = k + l*q, 3*k - 5*q - 8 = 26. What is the units digit of k? 3 Let k be 12/9*(-3)/(-2). Let o be (6 - 1)*k/(-5). What is the units digit of (o - (-3 + 2))*-8? 8 Let w be (-6)/3*1*-1. Suppose -56 = -4*x + w*k + 2*k, 3*k = 9. What is the units digit of x/3 - 1/(-3)? 6 Suppose 2*v = 3 + 1. What is the units digit of (-6 + v)*(-2)/4? 2 Suppose 1 = 4*q - 15. Suppose -5*u + u + q = 0. What is the units digit of u? 1 Let m(s) = -s**2 - 5*s - 2. Let w be m(-3). Let a = -1 + w. Suppose -i + 9 = -a*t, 0*i = 4*i + 3*t - 6. What is the units digit of i? 3 Let k = -21 + 21. What is the units digit of 30 - (-1 + -1) - k? 2 Let x(u) = 25*u**2 + u + 1. Let p(t) = -t**2 + t - 1. Let a be p(0). What is the tens digit of x(a)? 2 Let w(m) = 3 + 4*m - 4 - m**3 - 5 - 7*m**2 + 0*m**3. Let j be w(-7). Let v = -23 - j. What is the units digit of v? 1 What is the units digit of (-2)/(-11) + (-42693)/(-231)? 5 Suppose 5*m - 25 = -2*d, -d - 5*m = -15 - 5. Suppose d*o - 119 = 96. What is the units digit of o? 3 Let w(o) = o + 1. Let y be w(-1). Suppose -f - 4*f + 5 = y. What is the units digit of 57/6*f*2? 9 Suppose 2*r = -0*r + 8. Let m = r - -7. What is the tens digit of m? 1 Let f(r) = 2*r**2 + 16*r + 70. What is the tens digit of f(-14)? 3 Suppose -2*b - 6 = 0, -4*c + 4*b = 2*b - 74. What is the units digit of c? 7 Suppose -2*z + 4*z - 40 = 0. Suppose 0 = -h - 5 + z. What is the units digit of h? 5 Let x(a) = -2*a + 5. Let n be x(8). Let g = -6 - n. What is the units digit of g? 5 Suppose 0 = -2*i - 6 + 10. Suppose 0 = -3*h + o + 84, 2*h + o - 56 = i*o. What is the tens digit of h? 2 Let a(l) be the third derivative of -l**5/60 + l**4/3 - 5*l**3/6 + 4*l**2. What is the tens digit of a(5)? 1 Suppose -2*f - 5*b = -340, -7*f = -2*f - 2*b - 850. What is the units digit of f? 0 Let t(v) be the second derivative of v**5/20 - v**4/2 - v**3 + 3*v**2/2 + 3*v. Suppose -f - 29 = -6*f + 3*m, f + 4*m = 15. What is the tens digit of t(f)? 1 Suppose -6*f + 57 = 15. Suppose -f*a + 176 = -3*a. What is the tens digit of a? 4 Suppose 2*q + 2 = 0, -3*d + 4*q + 111 = q. Suppose 15 - d = n. What is the units digit of (14/n)/(1/(-9))? 6 Let s = 56 - 27. Suppose -37 = -2*l + 5. Let c = s - l. What is the units digit of c? 8 Suppose 4 = -p - 3*r + 5, -3*p - 32 = 2*r. Let f be (-4)/p - 6/21. Suppose f = -3*k - 4*q + 43, 3*q + 11 = k + q. What is the tens digit of k? 1 Suppose 242 + 160 = 6*c. What is the units digit of c? 7 Let h(k) = k**2 - 15*k + 14. Let b be h(15). Suppose -2*a - 12 = -4*a. Let z = a + b. What is the units digit of z? 0 What is the tens digit of 250/30*(-6)/(-2)? 2 Let n(b) = -b**2 + 5*b - 2. Suppose -5*m + 33 = 2*j, 3*j - 2 = -2*m + 5*j. Let w be n(m). Let r = 2 - w. What is the units digit of r? 4 Suppose -2*b = -k + 8, 3*b - 6 = -0*k - 3*k. Suppose 0 = 4*f + f + 4*s - 121, -k*s - 68 = -4*f. What is the tens digit of f? 2 What is the tens digit of 1/6 - 322/(-12)? 2 Suppose 2*c = -4*k + 90, c = -c + 4*k + 130. What is the tens digit of c? 5 Suppose p - 7*f - 7 = -4*f, -2 = -p - 2*f. Suppose 2*i = -2*z + p + 58, z = i + 33. What is the tens digit of z? 3 Let l(t) = t - 1. Let w(r) = -r + 3. Let n(b) = -5*l(b) - 2*w(b). Let u be n(-3). Let v = 14 - u. What is the units digit of v? 6 Suppose 0 = 6*z + 34 - 628. What is the units digit of z? 9 Let y = 1055 - 684. What is the units digit of 1/6 - y/(-42)? 9 Let o = -94 + 140. Suppose 2*y - 8 = 2*m - o, 5 = -m - 5*y. What is the tens digit of m? 1 Let q(k) = 3*k**2 - 6*k + 5. What is the units digit of q(4)? 9 Suppose h = 3*h - 48. What is the tens digit of h? 2 Suppose 3*k = 2*n + 6*k - 1, 4*n + 4*k = -4. Let l be (-2 - n)*(2 - 1). What is the units digit of (-2)/((l - -1)/(-15))? 0 Suppose -f - 84 = 2*f. Let g = 39 + f. What is the units digit of g? 1 Let d be 136 + -4*4/(-8). What is the units digit of ((-3)/(-9))/(2/d)? 3 Let r(y) = -2*y**3 + 4 + 4*y**3 + 2*y - 4*y**2 - y + 2*y. Let m be r(3). Suppose 0 = -2*c + 6*c + x - m, 2*x = 5*c - 55. What is the units digit of c? 9 Suppose -7*n + 189 = -1190. What is the units digit of n? 7 Let o be 51 - 3*2/6. Suppose 2*s - 5*a - 26 = 0, 6*a - a + o = 5*s. Suppose 0 = 3*f - 2*f - s. What is the units digit of f? 8 Suppose -2*o = -6*o. What is the units digit of o - (-5)/(-1 - -2)? 5 Let j(x) = -x**2 - 7*x + 9. Let i be j(-8). Let l = i + 3. Suppose 47 = l*y + 3. What is the tens digit of y? 1 Let b be -3*(10/6 + -2). Let k(o) = 9*o + 1. Let z be k(b). Let w = 16 - z. What is the units digit of w? 6 Let b(w) = -21*w**3 - w - 1. Suppose -6*l - 3 = -3*l. What is the units digit of b(l)? 1 Suppose 41 = 4*j - 43. What is the units digit of j? 1 Let s = -4 + -10. Let p = s + 35. What is the units digit of p? 1 Suppose -5*c + 6*r - 3*r + 147 = 0, 0 = 5*c + 3*r - 153. Suppose -2*j + 4*j = c. What is the tens digit of j? 1 Let s = 85 + -61. Let u = s + -7. What is the tens digit of u? 1 Let p = 15 + -7. Suppose -4*a + p = 5*i - i, 2*a + 24 = 5*i. What is the units digit of i? 4 Let m(g) = -g**3 + 6*g**2 + 8. What is the units digit of m(6)? 8 What is the tens digit of 4/(-4 - (-22)/5)? 1 Suppose d = -0*d + 5*p - 14, 5*d - 4*p = -7. Let u be d/((-12)/9)*-4. What is the units digit of (11 + u)/(0 - -2)? 7 Suppose -6*s = -s - 80. What is the tens digit of s? 1 Let k(t) = t**3 + 5*t**2 - 6*t - 5. Let m be k(-6). Let w = m + 6. What is the units digit of w? 1 Suppose 13*s - 2646 = 4*s. What is the tens digit of s? 9 What is the tens digit of (-855)/(-12) + (-12)/(-16)? 7 Suppose 4*m + 11 = s, -15 = -2*s + 5*m + 1. Let v = 2 + s. What is the units digit of v? 5 Suppose -n - 3*f = -2, -2*n + 2*f - 4*f = -8. Let j(z) = -z + 8. Let g be j(n). Suppose 0 = 4*k - g*k - 6. What is the units digit of k? 6 Let j = 5 + -6. Let l be 2/4*(-6)/j. Suppose -h = -l*h + 16. What is the units digit of h? 8 Let c(o) = -o - 1. Let g(b) = 3*b + 10. Let f(n) = 1. Let t(y) = -6*f(y) + g(y). Let v(k) = -5*c(k) - t(k). What is the units digit of v(2)? 5 Suppose 5*a - 6 = 4. Suppose a*l - 24 = -2*l. What is the units digit of (16/l)/(6/9)? 4 Suppose -3*w + c + 10 = -c, 5*w - c - 12 = 0. Suppose -w*v + 92 = -5*v + s, -4*v - 112 = 4*s. What is the units digit of v/(-7) + 10/(-35)? 4 Let g = 9 + -8. What is the units digit of g? 1 Suppose 0 = -4*d + 211 + 185. What is the units digit of d? 9 Suppose -12 = -3*y - 3*n, -4*n + 16 = -y + 4*y. Suppose 3*b - 4*b = y. Suppose -m - t + 6 = 0, -4*m + b*t + 36 = t. What is the tens digit of m? 1 Let p(l) = -l**2 + 12*l - 9. What is the tens digit of p(8)? 2 Let r(q) = q**2 + q + 1. Let h be r(-4). Suppose x + 0*x = h. What is the units digit of x? 3 Suppose 0 = 5*w - w - 224. What is the tens digit of w? 5 Suppose 2*l - 60 = -20. Let o = l + -50. What is the units digit of ((-4)/(-5))/((-6)/o)? 4 Let g = 42 - 18. Suppose -3*t + 60 = g. What is the tens digit of t? 1 Let v(y) = -8*y + 3. What is the units digit of v(-4)? 5 Let b = 85 - 13. Suppose 3*s = -0*s + b. Let k = 42 - s. What is the tens digit of k? 1 Let z = -8 + 8. Suppose -m + 0*m + 24 = z. What is the units digit of m? 4 Suppose -15 - 1 = -2*i. Suppose -2*o + c - 6*c = -i, o = 4*c + 17. Suppose 3*m - o = -0*b - 2*b, -3 = -b - 2*m. What is the units digit of b? 9 Suppose 5 = 3*c - 1. Let j be 11/c + (-3)/(-6). Suppose j*n - 3*n = 3
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
*m. Solve 2*f + h = 3*h + 6, 2*f - h - g = 0 for f. 5 Let u be 3/(36/160)*(-336)/35. Let v = u - -129. Solve 4*z + a = -v, a = -5*z - a + 1 for z. -1 Let d(q) = q**3 + 28*q**2 + 50*q - 48. Let v be d(-26). Let p = -223 - -223. Solve -10 = h - 0*h - 5*o, 3*h - v*o - 3 = p for h. 5 Let p = -60 + 93. Let r = -33 + p. Suppose 5*o = 4*t + 21 + 19, 5*o - 3*t - 35 = r. Solve -3*c + 4*u + 20 = -0*u, 0 = -c + o*u + 12 for c. 4 Suppose v = -3, 4*y - 5 = -121*v + 116*v. Solve -y*h + 5*n - 159 + 189 = 0, 2*h = -n + 6 for h. 4 Let h(l) = 4*l**2 - 16*l - 11. Let g be h(5). Let t(w) = 2*w**2 - 26*w + 72. Let o be t(g). Solve r + n - 4 = o, -4*r = n - 2*n + 4 for r. 0 Let d be (12/(-42) - (-2)/7)/(-2). Suppose d = 3*a + 35 - 41. Solve a*n + 10 = -n - c, n - 5*c = 2 for n. -3 Let l(y) = 9*y - 36. Let c be l(6). Suppose c = -s + 4*s. Suppose -4*j - 4 = -s*j. Solve -2*x + 3*k = 8, 14 = -3*x - k + j for x. -4 Let g(h) = 126*h + 1895. Let t be g(-15). Solve 14*o + 8 = -4*y + 18*o, t*y = -2*o + 18 for y. 2 Suppose 4*q + 15 = 9*q. Let v(n) = -n + 4. Let a = 54 - 54. Let o be v(a). Solve q*x + h - o*h - 15 = 0, 3*h = x - 11 for x. 2 Suppose -105 = -5*j + k, -4*k = -3*j + 45 + 1. Let a(q) = 7*q - 151. Let t be a(j). Solve 3*u + 19 = -5*h + 3, 0 = -3*h + t*u for h. -2 Let s(b) = -853*b - 7673. Let k be s(-9). Solve 2*z = -k*j - 4, 4*z = z - j - 6 for z. -2 Suppose -2*y - 7*c + 18 = -4*c, -5*c - 18 = -2*y. Solve 3*d = y, -5*r + 0*d - 7 = d for r. -2 Let s = 94 + -86. Let z(v) = -v**3 + 8*v**2 - 10*v + 83. Let f be z(s). Solve -4*p = 2*b + 4, 0*p - 3*p = 3*b - f for p. -3 Suppose 171 = 13*f - 89. Solve 2*l - 3*r = -f, 2*l - 2*r + 12 = -4 for l. -4 Let g(a) = 388*a + 2342. Let o be g(-6). Solve -w = -t - 2, -t - o + 9 = 0 for w. -3 Let r = 13 - 36. Let m(h) be the third derivative of h**4/24 + 7*h**3 - 10*h**2 - 10*h. Let j be m(r). Solve -5*q - 6*c + 3*c = 19, 3*q + j = 2*c for q. -5 Let x = 183 - 189. Let u(h) = -h**2 + 21*h + 170. Let w be u(x). Solve -2*p + w*d + 21 = 3*d, 2*p - d = 9 for p. 3 Let v(m) = m**3 - 4*m**2 + 38*m - 212. Let f be v(5). Solve -f*t - 2*y + 3*y - 2 = 0, -t = 5*y + 22 for t. -2 Let s(v) be the first derivative of 2*v**2 + 21*v - 2. Let u be s(5). Suppose -3 = -42*c + u*c. Solve -5*q + 19 = d, 3*q + 2*q - c*d = 3 for q. 3 Let x be (-1 - (-1)/3) + 3072/72. Suppose 16*v = -x + 122. Let c = 28 + -3. Solve 2*i - p = 2*p + c, -v = -5*i - 4*p for i. 5 Let l be 4 + ((-10)/8 - (-21)/(-28)). Suppose -4*z + 22*b - 24*b + 4 = 0, -z = l*b + 2. Solve -r = -4*d - 13, -z*r + 6*r = -5*d - 11 for d. -3 Let r(m) = 7*m + 2845*m**2 + 0 + 10 - 2844*m**2. Let v = 27 - 33. Let t be r(v). Solve -4*b - t = 5*k, 4*k + 9*b = 4*b - 5 for k. 0 Let f(i) = -i**3 - 4*i**2 + 6*i + 25. Let t be f(-4). Let u be ((-30)/(-105))/(t/14). Solve 0 = 5*a + 4*k + k - 5, -5*a - u*k = -5 for a. 1 Suppose -k + 80 = 7*k. Suppose -k*d + 118 + 452 = 0. Let q = 60 - d. Solve 0 = -2*n - h - 10, -n - 5 = -q*h + 2*h for n. -5 Let g(d) = d**2 - 4*d - 2. Let b be g(5). Let r = -1385984 + 1385988. Solve 2*i + r*u = 4 - 28, 5*u + 31 = -b*i for i. -2 Let f = 10207 - 10199. Solve -4*p - 20 = 5*v, -6*v - f = p - 4*v for p. 0 Suppose -5 = 4*k - i, -k + 4*i + 0*i - 20 = 0. Let q be k + 0 - 30/3*-1. Let p be ((-1)/2)/((-1)/q). Solve -p*f - n = 9, -2*f - 2*f + 8 = -3*n for f. -1 Suppose 4*u + 4*j + 15 = 5*u, -5*u + 75 = 4*j. Suppose 8*p + 14 = u*p. Solve 9 = k + 2*q, 4*k - p*q = 3*q - 16 for k. 1 Suppose -404 = -v + 2*h - 6*h, 1580 = 4*v - 2*h. Let i be ((-3)/(-2))/((135/v)/5). Solve -2*q = 3*g - i, -18 - 14 = -3*g - 4*q for g. 4 Suppose -3*u + u - 3*q = -83, 0 = -u - 3*q + 43. Suppose 0 = -y + 6*y - u. Suppose -6 = y*l - 6. Solve -5*s + 5*p + 15 = l, -2*s + 4*p = -7 - 9 for s. -2 Suppose 15*b - b = 166 + 128. Solve 5*p + 33 = 4*w, 5 = w - b*p + 23*p for w. 7 Let a(p) = 49*p - 22*p - 17 - 7*p. Let m be a(1). Solve 3*s - m = 5*s + 3*x, 0 = -2*s + 3*x - 9 for s. -3 Let g be 13/(195/(-75))*(-2 + 1). Solve -f + 0*f - 1 = a, -5*a = f + g for f. 0 Suppose 142*u + 22 = 147*u + 2*j, -4*u = -5*j - 11. Solve -t - 21 = -u*i, 51 = 11*i + 3*t + t for i. 5 Suppose 2*h = 7*h - 2*n - 7, -3*h - 4*n - 1 = 0. Suppose -13 + h = -3*o. Solve o = 2*y + 4*m - 2*m, -y + m = 2 for y. 0 Suppose 13*g - 4*u = 252, -74*g + 5*u = -75*g + 30. Solve 5*q + 5*p - g = 0, -2*q - 12 = -295*p + 292*p for q. 0 Let l(t) = 4*t - 16. Let v be l(4). Let o(s) = -38*s + 2. Let x be o(v). Solve 0 = u + w + 4*w + 25, 25 = -x*u - 5*w for u. 0 Let t be (-476)/(-63) - 4/18 - 66/(-99). Solve 4*h - t - 4 = 4*y, 4*h + 3*y + 2 = 0 for h. 1 Suppose 0 = -10*c + 25 + 45. Let h be c - (5 + 0 + -2). Solve h*p = i - 2*i - 7, 2*p = 3*i - 7 for i. 1 Suppose 4 = -5*t - 4*g + 21, 3*g - 14 = -4*t. Solve -5*s = -t*n - 3 - 17, 4*s + 16 = -4*n for n. -4 Let s = 15 + -10. Suppose -2*z - 3*t - 1 = 1, -2*t = -2*z + 8. Suppose 5*w - 10 = -v, w + z*w + 11 = -4*v. Solve 3*j - 3*g + w + 0 = 0, -s*j = -4*g + 7 for j. -3 Suppose -5*y = -y + 4*u + 4, 3*u + 35 = 5*y. Solve 2*g + 6 = -4*z, -y*g = -4*z - 40 + 4 for g. 5 Let q = 162 - 162. Suppose -47*z + 41*z + 18 = q. Solve -z*w - i + 1 = 3, 2*w + 2*i = -4 for w. 0 Let i be (-408)/(-816)*(1*-2 + 2). Solve -d = 17*p - 20*p - 15, 4*p + 2*d + 30 = i for p. -6 Suppose -5*b + 2*m = -19 - 268, -m + 181 = 3*b. Suppose -4*o + 67 - b = 0. Solve 0 = -h + 1, -o*x - h + 0*h = 1 for x. -1 Let g be (24/(-9))/(-1*2/3). Let n be (1 + -4 + 4)*g. Suppose 5*d - 4 = 3*s + 6, -d = -n*s - 2. Solve -5*p = -25, -d*p - 2*p = -2*f - 16 for f. 2 Let n(j) = -57*j + 3032. Let z be n(53). Solve 3 - 6 = -i, -2*b + 5*i - z = 0 for b. 2 Let b be ((-50)/4)/(7/(-28)*2). Suppose -2*v + 25 = -a, 4*a = 3*v - b - 10. Solve 3 = -3*c, -t - c = -5*t + v for t. 3 Suppose 7 = 407*x - 406*x, w = -5*x + 46. Solve -v - 19 = -18, 3*b + w = v for b. -4 Suppose 18 = 2*z + z. Let n = z - 3. Suppose 37*s + 62 + 15 = 48*s. Solve -n*p - 1 = -2*o, s*o + 23 = -p + 2*o for p. -3 Let d(l) = 2*l**2 + l - 101. Let h be d(7). Solve 5*u = h*a + 4, 2*a - 37*u - 4 = -36*u for a. 4 Let w(l) = 4*l**2 - 52*l - 52. Let i be w(-1). Solve 3*g - 6 = -4*h, 3*h - i*g - 2 = -5*g for h. 0 Let b = -382 - -384. Suppose h + 5*f = 26, -5*h + 104 = -h + b*f. Solve -3*t - t = 3*g - 25, -5*t - 2*g + h = 0 for t. 4 Suppose -15837*l = -15836*l - 5. Solve -35 = 3*i - l*y, -31*i + 5*y - 25 = -30*i for i. -5 Let i be 0*(-2 + 1/1). Solve 3*k = -r + 9, i = -k - 2*k + 2*r + 9 for k. 3 Let o = -5943 - -5948. Solve 4*v - 16 = 5*k, 3*v - o*v + 2*k + 8 = 0 for v. 4 Let i = -718 + 740. Suppose 2*a = -i*a. Solve 4*m + d + 7 = a, 0 = 2*m - 2*d - 6 + 2 for m. -1 Let b be 1*-3*2 + (8 - 0). Solve -3*m + 12 = 5*g - 20, -b*g = -8 for m. 4 Suppose 23 = -28*s + 163. Suppose a - s*b - 34 + 12 = 0, 0 = 4*a + b - 4. Solve -2*l = c, 2*l - 6*l = c - a for l. 1 Suppose 11*z + 1418 = -925. Let f = 216 + z. Solve f = -y, -i + 2*i - y - 5 = 0 for i. 2 Let x be (2 + 29)/(-1)*-1. Suppose 114*w - 122*w = -40. Suppose -2*p + 2 = -2*t, 4*p = -w*t - 0*t + x. Solve 7 = d + 4*z, -d - p*z + 13 = -6*d for d. -1 Let r be (-83)/(-17) - 568/(-4828). Solve -5*c + 2*a = -r + 12, 24 = -4*c - 3*a for c. -3 Let o be -4 - -9 - (-1)/(1/20). Suppose -o*i + 23*i + 8 = 0. Let a be (0 - -2)/((-2)/(-4)). Solve -2*s = 5*p - s + 1, 5*p + a*s + i = 0 for p. 0 Suppose -4*c + 17 = k, 87 = 3*k + 12*c - 9*c. Let h = k + -30. Solve 2*x + 5*p = -4 + 32, -h*p = x - 16 for x. 4 Let j(u) = 3*u**2 + 5*u - 94. Let t(z) = -2*z**2 - 2*z + 63. Let l(p) = -5*j(p) - 8*t(p). Let y be l(12). Solve 2*n + 5*f = -n, -5*n + y*f = 0 for n. 0 Let l be 56/7*(-2 + (-65)/(-4)). Suppose -28*z + 82 + l = 0. Solve -3*u - 8 = -z*u - 2*a, -4*a = 0 for u. 2 Suppose 0 = -3*w + 3*h + 24, 3*w + 5*h + 54 = 62. Solve 11*n + 3*l = w*n - 30, 7 = -4*n + l for n. -3 Suppose -27 = -2*c + 9. Suppose -c + 34 = -g. Let m be g/(-64) - (-14)/8. Solve 12 = 4*h - 4*b + m*b, -5*h + 18 = -b for h. 4 Let d be (81/(-9) + 4)/(5/(-3)). Solve 2*z = d*z + 1, -2*z - 6 = y for y. -4 Let l be 2*((-5)/(-10))/1. Let f(t) = 20*t**3 + t**2 + t - 1. Let h be f(l). Let c = -16 + h. Solve -5*w = 5*s - 15 + 45, -c*w - s - 14 = 0 for w. -2 Let t be ((-175)/35)/(10/(-8)). Let z(q) = q**3 - 17*q**2 + 1. Let m be z(17). Solve 0 = -3*w - 7 + m, -5*j - 2*w = t for j. 0 Let n(d) = 355*d + 6794. Let v be n(-19). Solve -47*s - 5 = 3*q - v*s, 2*q -
{ "pile_set_name": "DM Mathematics" }
59 Calculate -2899 divided by -2987. 2899/2987 -1136973 divided by 13 -1136973/13 Calculate -24 divided by 8366926. -12/4183463 -6081210 divided by -9 675690 What is -15797 divided by -2430? 15797/2430 Calculate 8779 divided by 395. 8779/395 29053816 divided by -4 -7263454 -1188 divided by -999 44/37 What is 55532533 divided by 49? 1133317 What is 27468378 divided by -63? -436006 1296765 divided by -6 -432255/2 What is 3313971 divided by 531? 6241 Divide 1062345273 by -2. -1062345273/2 Calculate -42916867 divided by 4. -42916867/4 275 divided by -1361980 -55/272396 42489177 divided by 14163059 3 What is -86939568 divided by -243? 357776 What is 12790410 divided by -691? -18510 Divide 1606944 by -2643. -608 Divide 1 by 65233199. 1/65233199 Divide -1051881 by 641. -1641 917757985 divided by -5 -183551597 Calculate -179782038 divided by -758574. 237 Divide -9918923 by -1416989. 7 Divide -250773024 by 6. -41795504 Calculate -393502305 divided by 4523015. -87 Divide 3874 by 39010. 1937/19505 Divide -466697343 by 4. -466697343/4 Divide -32054 by -39. 32054/39 What is -107185730 divided by 5? -21437146 Divide -954817451 by 3715243. -257 226884492 divided by -6 -37814082 Divide 3 by -129832505. -3/129832505 What is -19414493 divided by -2? 19414493/2 Divide -12 by 7180504. -3/1795126 -1006 divided by 146035 -1006/146035 10940427 divided by -1215603 -9 What is 6801 divided by -647? -6801/647 1769520 divided by 60 29492 What is -3527086 divided by -4? 1763543/2 Divide -12545 by -9744. 12545/9744 189916042 divided by 37 5132866 -128510395 divided by 1235 -104057 3 divided by 58904140 3/58904140 Calculate -1330 divided by -13970. 133/1397 1500176 divided by -6 -750088/3 Divide 5 by 18486518. 5/18486518 -26272128 divided by 1094672 -24 What is -5 divided by -1453474? 5/1453474 What is -1842 divided by 358469? -1842/358469 Divide -40197060 by 2. -20098530 14505416 divided by 3626354 4 Calculate 126472288 divided by 31618072. 4 Divide -496979 by 12. -496979/12 -722961875 divided by 625 -1156739 Calculate -15667920 divided by 60. -261132 Calculate -338 divided by 2955. -338/2955 Calculate -1 divided by 142084304. -1/142084304 Divide 31990260 by 1. 31990260 Calculate 26454 divided by 7. 26454/7 Divide -4 by -103075. 4/103075 616 divided by 581264 77/72658 What is -17176290 divided by -6? 2862715 -27 divided by 16519 -27/16519 Calculate 5235900 divided by 5630. 930 -3 divided by -153353644 3/153353644 Divide -6793216 by -16. 424576 Calculate 2754263604 divided by -2. -1377131802 -23 divided by 427663 -23/427663 Divide -1778320 by 355664. -5 -652713 divided by -7 652713/7 380423104 divided by -95105776 -4 Divide 2227565 by -3. -2227565/3 Divide -31275778 by -15637889. 2 -115003422 divided by -2129693 54 What is 39190 divided by -9577? -39190/9577 Divide 363135 by 2222. 363135/2222 What is 212080 divided by -54? -106040/27 Divide 26449 by -353. -26449/353 Calculate 23666970 divided by 570. 41521 What is 41203 divided by -10496? -41203/10496 What is 8278 divided by -68294? -4139/34147 Divide -8886560 by -12. 2221640/3 Divide 961285943 by 437. 2199739 -15 divided by -112219 15/112219 -81352530 divided by 90 -903917 -71048442 divided by -1354 52473 -112942029 divided by -3 37647343 Calculate -2312590 divided by -7. 330370 What is 17495313 divided by -115863? -151 Calculate -4 divided by 11713044. -1/2928261 Calculate 4099655 divided by 6. 4099655/6 Calculate -3 divided by 192550927. -3/192550927 1344585 divided by 3091 435 Calculate -4 divided by -10129588. 1/2532397 Calculate -6875538 divided by 1. -6875538 What is -10928884 divided by 1? -10928884 What is -1831425 divided by 610475? -3 What is 23591990 divided by -5? -4718398 -49609840 divided by 560 -88589 What is 1 divided by 13791442? 1/13791442 What is -3612864 divided by -744? 4856 Divide -70047509 by -10006787. 7 Calculate -168084720 divided by -1167255. 144 Calculate 124 divided by 61105. 124/61105 What is 12 divided by -659352? -1/54946 What is 9403752 divided by -12? -783646 What is 271585104 divided by -21? -12932624 What is 22456428 divided by -13? -22456428/13 Calculate 167905904 divided by 8. 20988238 38640 divided by -16 -2415 Divide 2189943 by -729981. -3 Calculate 214700 divided by 1900. 113 Divide -12638928 by -3159732. 4 25653 divided by 2 25653/2 -373582 divided by -22 16981 Calculate -24342250 divided by 50. -486845 Divide 4 by -8385863. -4/8385863 What is 1974544 divided by -179504? -11 What is 310 divided by 62504? 155/31252 0 divided by -15421414 0 What is 1 divided by -152312452? -1/152312452 What is 52 divided by 501545? 52/501545 Divide -15 by -29070635. 3/5814127 Calculate 50001 divided by 63. 2381/3 Calculate -118 divided by 114697. -118/114697 8629646 divided by 8629646 1 Calculate 6828129 divided by 16533. 413 241698814 divided by 5 241698814/5 What is -20179260 divided by 60? -336321 409 divided by -138272 -409/138272 Divide 121 by 410766. 121/410766 13907 divided by 37199 13907/37199 8741024 divided by 8 1092628 328225440 divided by 6 54704240 1639092897 divided by -126084069 -13 Divide -636849700 by 7757. -82100 Divide -9687049 by 1. -9687049 -5510990 divided by -3 5510990/3 Calculate -43723632 divided by -12. 3643636 Divide 27 by -96657. -9/32219 Divide -569943668 by -142485917. 4 Calculate -6919760 divided by -1. 6919760 Divide 6819435 by 454629. 15 Calculate -15914730 divided by -1290. 12337 Calculate 66668875 divided by 6. 66668875/6 What is -1302934 divided by 651467? -2 -96 divided by -3250555 96/3250555 What is -5476757 divided by -5476757? 1 What is 2263440 divided by 612? 188620/51 Divide 13356 by 1453. 13356/1453 Calculate -436530 divided by 289. -436530/289 Divide -29451571 by 3. -29451571/3 Calculate -112093960 divided by 5. -22418792 Divide -49485660 by -167748. 295 Divide -1 by 151026. -1/151026 What is -148775943 divided by 148775943? -1 Calculate 178049025 divided by 231. 770775 Calculate -387304 divided by -193652. 2 -3639504 divided by -6 606584 What is 0 divided by -53153636? 0 Calculate -114077000 divided by -8. 14259625 What is 4581893 divided by 4581893? 1 Divide 92869 by -689. -92869/689 -576 divided by -1095 192/365 6973533 divided by -343 -20331 Calculate -297 divided by -177169. 297/177169 -10362890 divided by -33 10362890/33 What is 50808125 divided by 10161625? 5 Calculate -15 divided by 1292447. -15/1292447 Calculate -29758014 divided by -2705274. 11 Calculate -11554 divided by 28822. -5777/14411 Calculate -271663488 divided by 2208. -123036 What is 14115986 divided by 118? 119627 Divide 196 by 5940. 49/1485 Divide -31097 by -1339. 31097/1339 Calculate -66312680 divided by -490. 135332 Calculate -115866 divided by 39. -38622/13 Calculate 441622206 divided by -38. -11621637 Calculate 0 divided by 460423. 0 11956802 divided by -5978401 -2 Calculate -4607278 divided by -1. 4607278 Divide -15 by 3937571. -15/3937571 Calculate -365588740 divided by 391004. -935 Calculate 14458 divided by 2444. 7229/1222 132282340 divided by -10 -13228234 Divide 220195 by -20. -44039/4 What is -7161 divided by -1358? 1023/194 What is -197148960 divided by 5? -39429792 Divide -1170969 by -3. 390323 Calculate -100116 divided by 27. -3708 67717611 divided by 17667 3833 What is 1186 divided by -169248? -593/84624 9655 divided by 104 9655/104 Calculate 34 divided by -12298574. -17/6149287 What is -304409900 divided by 353965? -860 Divide -7210800 by 30045. -240 What is 4789530 divided by -1? -4789530 Divide -1043706 by 2. -521853 What is -7 divided by -55181146? 7/55181146 -339103080 divided by 15 -22606872 What is -7671418 divided by 34? -3835709/17 What is 19549980 divided by -4695? -4164 What is 10907029 divided by -3? -10907029/3 Divide 57428966 by -14. -4102069 Divide -9376288 by 452. -20744 What is 44 divided by 269020? 11/67255 40283 divided by 78 40283/78 Calculate 13248548 divided by 4. 3312137 Calculate -98848525 divided by -5. 19769705 Divide 14381320 by -2. -7190660 302475781 divided by -2 -302475781/2 Calculate 9445522 divided by -2. -4722761 Calculate -124461108 divided by 6. -20743518 What is -9633685 divided by 43? -9633685/43 Calculate -1 divided by -7584161. 1/7584161 -7123584 divided by 2 -3561792 Calculate -81572984 divided by 556. -146714 Calculate -23 di
{ "pile_set_name": "DM Mathematics" }
d) 3 (e) 0 b Which is the smallest value? (a) -0.5 (b) -0.2 (c) 82899 a Which is the fourth biggest value? (a) 3/7 (b) -2 (c) -161 (d) 4/5 (e) 1 (f) 76 a What is the second smallest value in 16, 28, -5/4? 16 Which is the second biggest value? (a) 43 (b) 3103 (c) -1/5 a Which is the biggest value? (a) -5 (b) 0.04 (c) -2464 b What is the third biggest value in 3/5, 7, -0.4, 563? 3/5 What is the smallest value in 0.3, 3, 1/4, 0.39? 1/4 Which is the third smallest value? (a) -2/11 (b) 2/11 (c) 8.8 (d) 0.2 d What is the fifth smallest value in 489, -3/8, -5, 4, -0.2? 489 Which is the second smallest value? (a) -0.0217 (b) -0.1 (c) 10 a What is the fifth smallest value in 0.2, -0.2, -1/4, -5, 0.6, 0.3? 0.3 Which is the smallest value? (a) -3 (b) 196.74 (c) 1 (d) 0.5 a Which is the third smallest value? (a) -15 (b) 26 (c) 39 (d) 1 b What is the biggest value in -566, 1/6, -1070/7? 1/6 What is the fourth biggest value in 141, -5, 5, 6/181? -5 What is the third smallest value in 7, 1200, 0.1? 1200 What is the second biggest value in -165285, 3, 0.06? 0.06 Which is the fifth biggest value? (a) -2/5 (b) -309 (c) -0.3 (d) -0.2 (e) 4/5 b What is the fifth smallest value in 0.023, -0.05, 5, 4, -99? 5 What is the third smallest value in -3, -0.1, -0.3, -198, -5, -1/3? -3 Which is the smallest value? (a) 4 (b) -0.7 (c) -29/6 (d) -0.19 c What is the fourth smallest value in -5/2, -1, -0.3, 0.1108, 3/7? 0.1108 Which is the biggest value? (a) -255 (b) 0.02 (c) 8 c Which is the smallest value? (a) 34 (b) 2/15 (c) 166 (d) 0.3 (e) 0.1 (f) 1/5 e Which is the second biggest value? (a) 1 (b) -0.07 (c) -1/49 (d) 0.3 (e) 7.2 a What is the fourth smallest value in -0.062, 1, -3, -22, 5? 1 What is the smallest value in 5/3, -0.5, -2, 0, -86/3, -5? -86/3 Which is the second smallest value? (a) -1 (b) 1/6 (c) 18 (d) -5 (e) -170 d Which is the second biggest value? (a) -4 (b) -83/22 (c) 11 b Which is the smallest value? (a) -1 (b) -1/4 (c) 335 (d) 3/7 (e) -1/18 a What is the biggest value in 4, -102, -5, 10, 0, 2/3? 10 Which is the second smallest value? (a) 0.2 (b) 7 (c) -2/7 (d) -669 (e) 6 c What is the fourth smallest value in -1, 18371, -3, 0.4? 18371 What is the fourth biggest value in 3, -1, 2/9, -5, 20? -1 Which is the fifth smallest value? (a) 16 (b) -0.07 (c) -1 (d) 5 (e) -61 a What is the third biggest value in -5, 233/39, -3/2? -5 Which is the smallest value? (a) -2/549 (b) -4 (c) 0.02 (d) -0.4 (e) 2 b What is the second smallest value in -2, 63, 0.9, -4, -5, 2? -4 What is the fourth smallest value in 3, -6, -3/2903, -2/9, 1/2? 1/2 What is the fifth biggest value in 0.5, 4, 60, 5, 3/11? 3/11 What is the biggest value in 0.0185, -1, -5, -11? 0.0185 What is the third biggest value in -3, 0.158, -1/2, 7? -1/2 What is the second smallest value in 4, 0.3, -15, 0, -53, -6/11? -15 Which is the fourth biggest value? (a) 1 (b) -1028/9 (c) 4 (d) -1 (e) -2/9 d Which is the fourth smallest value? (a) -0.1 (b) -7 (c) -0.4 (d) -633 (e) 2/9 a Which is the second biggest value? (a) -443 (b) 4 (c) 0.058 (d) -1 c Which is the smallest value? (a) 370 (b) 0.5 (c) 2/161 c What is the biggest value in -8/7, -2/9, 0.962, -0.4? 0.962 What is the second biggest value in 309, 2/5, 7? 7 What is the fourth smallest value in 39, -2/51, -1.6, -0.2? 39 Which is the smallest value? (a) -3 (b) 0.1 (c) -3237 (d) 0 (e) -5/6 c Which is the fourth smallest value? (a) 3/4 (b) -2 (c) 40 (d) 0.5 (e) 17 e What is the fourth smallest value in -1, -1/7, -10, 3/7, -2/29? -2/29 Which is the second biggest value? (a) -7 (b) 37 (c) -8653 a What is the smallest value in 0.4, -19006, -17? -19006 Which is the fifth biggest value? (a) -2/3 (b) 0.5 (c) 6 (d) 297 (e) -5 (f) 0 a Which is the fifth smallest value? (a) 10 (b) 109 (c) -0.2 (d) 2 (e) 0 b Which is the biggest value? (a) -1.1 (b) -2/11 (c) 1 (d) 0.19 (e) 5/8 (f) -2/15 c What is the third smallest value in 155, 7, 2, -9? 7 What is the fourth smallest value in -443, -29, -9, -1/5? -1/5 What is the smallest value in 276, -0.1142, -1? -1 Which is the second biggest value? (a) 2 (b) 1/6 (c) 5 (d) -1.267 a Which is the second smallest value? (a) -13.27 (b) -1/6 (c) -4 (d) -10 d Which is the smallest value? (a) -2 (b) 105 (c) -3/5 (d) 1 (e) -2/75 a Which is the sixth biggest value? (a) -33 (b) -1/10 (c) 2 (d) -3/7 (e) -5/4 (f) 3 a Which is the biggest value? (a) -11752 (b) -0.07 (c) 0.1 c What is the biggest value in -2/11, -41, -1/245? -1/245 What is the second biggest value in 0.02, 0.01, -0.1, -0.41, 23, 4? 4 What is the biggest value in -2, -39/97, 13? 13 What is the third biggest value in -552/5, -44/5, 3? -552/5 What is the second smallest value in -36, -4/249, 3? -4/249 What is the biggest value in -160.9, 0.5, -1/7? 0.5 Which is the third smallest value? (a) -4.2 (b) -291 (c) 33 c Which is the third smallest value? (a) 0.4 (b) 85 (c) 0.2 (d) 19/3 (e) -2 a What is the second smallest value in -3, -29, 0.019, 0.2, 4? -3 What is the fourth biggest value in -0.1, 15, -7, -2, 0.1? -2 Which is the second biggest value? (a) -6 (b) -134 (c) -20 c Which is the second biggest value? (a) -0.2 (b) 7 (c) -1/7 (d) 3 d Which is the second biggest value? (a) 4 (b) -5 (c) 1/5 (d) 764 (e) 0.5 (f) -29 a What is the fourth biggest value in 3, -0.477, -5, 0.4? -5 What is the third smallest value in 2/63, -14, 17/15? 17/15 Which is the fourth biggest value? (a) 0 (b) -2.6 (c) -665 (d) -2/7 c What is the second smallest value in 0.2, -0.05, 11/125? 11/125 What is the sixth biggest value in -556, -43, -6, -1, -5, 3? -556 What is the biggest value in 5, -3, 148, 1/2, -2? 148 Which is the fourth smallest value? (a) 0.2 (b) -13 (c) -3.57 (d) 5 d What is the second smallest value in 1798, 4, 14? 14 Which is the third smallest value? (a) 18.1 (b) 83 (c) -10/7 b Which is the smallest value? (a) 7 (b) -3 (c) -285 c What is the biggest value in -2/5, -2/7, -5, 0.928? 0.928 What is the second smallest value in -2/11, 3, -234, 2/9, -3? -3 Which is the fourth biggest value? (a) 4.1 (b) -0.3 (c) 0.1 (d) 28 (e) -4 b What is the fourth biggest value in 5, 8, -0.095, 4? -0.095 What is the smallest value in 4, -0.28, 3/20, -18, 1/4, -1? -18 Which is the smallest value? (a) 7 (b) -0.4 (c) 0.4 (d) 4 (e) -2/3 (f) -2/9 e Which is the fourth biggest value? (a) -0.06 (b) -2/7 (c) -4717 (d) 0 (e) -5 e What is the biggest value in -2/19, 2/17, -0.3, -21/29, 4, -4/7? 4 Which is the third biggest value? (a) 0 (b) 24/41 (c) 2/13 (d) -1/2 (e) 0.3 c Which is the fourth smallest value? (a) -1/4 (b) -17 (c) 1/8 (d) -1/199 c What is the smallest value in -4.9, 2/9, 1/423? -4.9 Which is the biggest value? (a) -1/15 (b) 2.9 (c) 1 (d) 2/9 b Which is the fourth biggest value? (a) 2/59 (b) -6 (c) -0.3 (d) -3/1336 b What is the biggest value in 1/102, -67, 5? 5 Which is the second biggest value? (a) -1800 (b) 0.1 (c) 0.012 c Which is the smallest value? (a) -104 (b) 1 (c) 5 (d) 0.07 a What is the smallest value in -8, -14, -2/33, 5? -14 Which is the second smallest value? (a) -356 (b) 3/8 (c) -3/29 (d) -0.2 d What is the fifth biggest value in 2, -17, 9.4, 0.1, 10, -5? -5 What is the fourth biggest value in 75, -3/5, -0.3, 11/3? -3/5 Which is the sixth smallest value? (a) -1/8 (b) -0.04 (c) -3/4 (d) -5/2 (e) 14 (f) 4 e Which is the second smallest value? (a) -7 (b) -5 (c) -3 (d) 2/795 b What is the biggest value in -1/5, -0.09, 491, 4? 491 Which is the fourth biggest value? (a) -3 (b) 0.052 (c) 0 (d) -3/95 a Which is the third biggest value? (a) 4 (b) 0.02 (c) -0.033 (d) -6 (e) -2 c What is the third smallest value in -0.061, -0.65, 24? 24 Which is the fifth biggest value? (a) 2 (b) 0.1 (c) -4 (d) 10352 (e) -0.5 c What is the sixth biggest value in 0.3, 0.1, 2/17, -0.0696, 4, -1.8? -1.8 Which is the second biggest value? (a) 1 (b) -73/9 (c) 230 (d) -4/5 a Which is the second smallest value? (a) 0.104 (b) 0.03 (c) 0.023 b What is the biggest value in -2, -1436, -5? -2 Which is the second biggest value? (a) -3/7 (b) -13 (c) 2/21 (d) 5.6 (e) -0.88 c Wha
{ "pile_set_name": "DM Mathematics" }
256, -164528? -223940 What comes next: -32852, -65715, -98578, -131441? -164304 What is next in 397, 343, 291, 241, 193, 147, 103? 61 What comes next: -435, -268, -111, 30, 149, 240? 297 What comes next: -325, -315, 291, 1793, 4491, 8685, 14675? 22761 What is next in -672, -950, -1218, -1470, -1700? -1902 What comes next: -3303234, -3303233, -3303232, -3303231, -3303230? -3303229 What is the next term in 79, 116, 111, 64? -25 What comes next: 212, 419, 620, 815, 1004, 1187? 1364 What is next in -923, -1687, -2437, -3173? -3895 What is the next term in -5337687, -5337685, -5337683, -5337681, -5337679, -5337677? -5337675 What comes next: 4538, 18147, 40830, 72587, 113418? 163323 What is the next term in 2454, 4919, 7384? 9849 What comes next: 59426, 118863, 178300? 237737 What is the next term in 27314, 27301, 27290, 27281, 27274, 27269, 27266? 27265 What is the next term in 214, 147, -2, -275, -714, -1361? -2258 What comes next: -27, 11, 121, 303, 557, 883, 1281? 1751 What comes next: -212, -468, -724? -980 What is next in -5005, -5021, -5033, -5041, -5045? -5045 What is the next term in 3770, 7561, 11352, 15143, 18934? 22725 What is next in 36716, 36713, 36710, 36707, 36704, 36701? 36698 What is next in 67325, 67325, 67323, 67319, 67313, 67305, 67295? 67283 What comes next: 844, 2554, 4264, 5974, 7684, 9394? 11104 What is next in -114967, -114934, -114901, -114868, -114835? -114802 What is next in 6854, 6875, 6906, 6953, 7022? 7119 What is the next term in -35089, -35090, -35091, -35092? -35093 What comes next: -94, -183, -266, -349, -438, -539? -658 What is the next term in 289, 572, 861, 1162, 1481? 1824 What is the next term in 807, 825, 863, 927, 1023, 1157, 1335, 1563? 1847 What is the next term in -1226, -9740, -32836, -77804, -151934, -262516, -416840, -622196? -885874 What is the next term in 23, 109, 195, 281, 367, 453? 539 What is the next term in -4470, -17851, -40144, -71343, -111442? -160435 What comes next: 8059, 8043, 8001, 7921, 7791, 7599, 7333? 6981 What comes next: 16754, 16737, 16720, 16703? 16686 What comes next: -404, -764, -1364, -2204? -3284 What is next in 345, 353, 373, 411, 473, 565? 693 What is next in -68919, -137822, -206725, -275628, -344531? -413434 What is the next term in -1249, -4584, -10015, -17536, -27141, -38824, -52579, -68400? -86281 What is the next term in 316, 632, 958, 1294? 1640 What is next in -1933, -1971, -2009, -2047? -2085 What comes next: -3562, -3366, -3172, -2980, -2790, -2602, -2416? -2232 What comes next: 52600, 105190, 157766, 210322, 262852, 315350, 367810, 420226? 472592 What is next in 9780, 19575, 29370, 39165, 48960? 58755 What is the next term in 21387, 21385, 21383, 21381? 21379 What is the next term in 8197, 16610, 25023, 33436, 41849? 50262 What is next in 2703, 3291, 3879, 4467, 5055? 5643 What comes next: 122572, 122583, 122594, 122605? 122616 What comes next: 1353953, 1353952, 1353951, 1353950? 1353949 What is next in 16333, 16317, 16301, 16285, 16269? 16253 What is the next term in -451, 1, 1239, 3659, 7657, 13629, 21971, 33079? 47349 What is next in 6382, 12764, 19146, 25528? 31910 What is next in 1697, 1730, 1765, 1802, 1841, 1882? 1925 What comes next: -64, -80, -14, 176, 532, 1096? 1910 What is the next term in -250, -905, -2654, -6043, -11618, -19925, -31510, -46919? -66698 What is the next term in -12401, -24803, -37205, -49607, -62009, -74411? -86813 What is next in -2668, -2704, -2736, -2764, -2788, -2808, -2824? -2836 What is the next term in 105912, 105914, 105916, 105918, 105920? 105922 What is the next term in 4540, 18199, 40964, 72835? 113812 What is the next term in 406, 1641, 3706, 6601, 10326, 14881? 20266 What is next in -10556, -10473, -10378, -10265, -10128, -9961, -9758? -9513 What is next in -113638, -113634, -113628, -113620? -113610 What is the next term in 6, -78, -276, -606, -1086? -1734 What is next in 7563, 7560, 7557, 7554, 7551, 7548? 7545 What is next in 757, -738, -3231, -6722, -11211, -16698? -23183 What is next in 21, -18, -69, -120, -159? -174 What is the next term in 2904, 2888, 2870, 2856, 2852, 2864, 2898, 2960? 3056 What comes next: 1246, 2494, 3746, 5002, 6262, 7526, 8794? 10066 What is next in -726, -703, -680, -657, -634? -611 What is next in -3019, -3015, -3009, -3001, -2991? -2979 What is the next term in 9809, 78057, 263295, 624017, 1218717, 2105889, 3344027? 4991625 What comes next: -3280, -6687, -10092, -13495? -16896 What comes next: 985, 960, 909, 826, 705, 540, 325, 54? -279 What is the next term in -1327020, -1327019, -1327018, -1327017? -1327016 What is the next term in 232, 823, 1768, 3049, 4648, 6547, 8728? 11173 What is next in 243, 2010, 6787, 16074, 31371, 54178, 85995, 128322? 182659 What comes next: 1379, 5485, 12293, 21773, 33895, 48629, 65945, 85813? 108203 What is next in 38783, 38807, 38831? 38855 What comes next: 3199, 3554, 3921, 4306, 4715, 5154? 5629 What is next in -12939, -51756, -116451, -207024, -323475, -465804, -634011? -828096 What is the next term in -487, -1048, -1607, -2164, -2719? -3272 What comes next: -2213, -2162, -2105, -2042, -1973? -1898 What comes next: -11007, -22015, -33023, -44031? -55039 What is the next term in 8309, 16597, 24881, 33161, 41437, 49709, 57977? 66241 What comes next: 1343, 2710, 4077, 5444, 6811, 8178? 9545 What comes next: 136, 130, 116, 88, 40, -34, -140? -284 What comes next: -130, -225, -296, -349, -390? -425 What is the next term in 11769, 47334, 106609, 189594? 296289 What is the next term in -15679, -15640, -15601, -15562, -15523, -15484? -15445 What comes next: 110546, 221126, 331720, 442334, 552974, 663646? 774356 What is next in -141, -320, -669, -1230, -2045, -3156, -4605, -6434? -8685 What is next in -42382, -84902, -127408, -169894, -212354? -254782 What is the next term in -33, 12, 147, 384, 735, 1212, 1827? 2592 What is next in 65, 343, 831, 1529, 2437, 3555, 4883? 6421 What is next in -2599, -5195, -7791, -10387, -12983? -15579 What comes next: -327, -313, -301, -291, -283, -277? -273 What is the next term in 3441, 6917, 10451, 14073, 17813? 21701 What comes next: 2086, 2108, 2188, 2356, 2642, 3076, 3688? 4508 What is the next term in 34, 66, 92, 112, 126, 134? 136 What is the next term in 1725, 1735, 1747, 1761, 1777? 1795 What is next in -208, -285, -346, -391? -420 What is the next term in 4218, 8436, 12654, 16872? 21090 What is next in -187, -111, 19, 203, 441, 733? 1079 What comes next: -12599, -25223, -37847, -50471, -63095? -75719 What is next in 26836, 53689, 80544, 107401, 134260, 161121, 187984? 214849 What comes next: -1263941, -1263939, -1263937, -1263935, -1263933, -1263931? -1263929 What is next in 61660, 61659, 61650, 61627, 61584, 61515, 61414? 61275 What is next in 101189, 101188, 101187, 101186, 101185? 101184 What comes next: 1647, 2372, 3099, 3828? 4559 What is the next term in 6635, 6643, 6663, 6701, 6763, 6855, 6983, 7153? 7371 What comes next: -9093, -18192, -27291, -36390, -45489? -54588 What is the next term in -32420, -64838, -97256, -129674, -162092? -194510 What comes next: 2846, 2818, 2784, 2744, 2698, 2646? 2588 What comes next: 3074, 3082, 3090, 3098? 3106 What is the next term in -1458, -1702, -1956, -2226, -2518, -2838, -3192, -3586? -4026 What is next in 2218, 2246, 2274, 2302, 2330, 2358? 2386 What comes next: -431, -718, -1005, -1292, -1579? -1866 What is the next term in -8508, -9764, -11018, -12270, -13520? -14768 What is next in 3078, 12199, 27390, 48651, 75982, 109383? 148854 What is next in 463, 1355, 2843, 4927? 7607 What is the next term in 6244, 12471, 18698, 24925? 31152 What is the next term in -253, -514, -799, -1120, -1489? -1918 What is the next term in -372, -218, -64, 90? 244 What is the next term in -11070, -44249, -99548, -176967, -276506, -398165? -541944 What comes next: 105043, 210036, 315029, 420022, 525015? 630008 What comes next: -428, -154, 110, 364, 608, 842, 1066? 1280 What is the next term in -1379, -2823, -4335, -5915, -7563? -9279 What is the next term in 999, 4627, 10681, 19167, 30091, 43459, 59277, 77551? 98287 What is the next term in 62603, 125227, 187863, 250517, 313195, 375903, 438647? 501433 What is next in -6038, -6008, -5944, -5834, -5666, -5428, -5108? -4694 What comes next: -2670
{ "pile_set_name": "DM Mathematics" }
to the nearest 1000. 6000 Let n(u) = u**2 - 6*u + 3128. Let z be n(0). What is z rounded to the nearest 100? 3100 Let i(f) = -2*f - 14. Let w be i(-7). Suppose -4*m + 78612024 = -w*m. Let j = -38053006 + m. Round j to the nearest one million. -18000000 Let i = 228.0433 - 228. Let f = -0.033 + i. What is f rounded to 3 dps? 0.01 Suppose -15 = -6*l + l. Suppose c = l*c + 62. Let m = -31 - c. Round m to 1 dp. 0 Let n = 900303 + -900300.201014. Let d = -59.79887 + n. Let c = d + 57. Round c to five dps. 0.00012 Let d be (-1)/(63/(-15) - -4). Let x be 2/(3 - 1)*d. Suppose x*s - 45495 = 5*v, 5*s = 3*v + 39989 + 5508. Round s to the nearest one thousand. 9000 Let b = 318 + -253.2. Let g = -72 + b. Round g to 0 dps. -7 Let s be 19/(-38) - (-10)/4. Let i be (-4)/s + 0 + -1 - -800003. Round i to the nearest one million. 1000000 Suppose -160*a + 165*a = -2935. Round a to the nearest one hundred. -600 Suppose 0 = -0*c + 8*c - 5264. Suppose -4*r - c = 4*w - r, 4*w - 4*r + 644 = 0. What is w rounded to the nearest ten? -160 Let h = 21.979097 + -358.980907. Let y = h + 337. Round y to four dps. -0.0018 Let b = -1258.6828 + 1257.3428114. Let f = -1.34 - b. Round f to 6 dps. -0.000011 Let m = 20 - 20. Let r = m + 0.003. Round r to 4 decimal places. 0.003 Let w = -168307 - -598507. What is w rounded to the nearest one hundred thousand? 400000 Let u be 63*(4 + (5 - 8)). Round u to the nearest 100. 100 Let p be (-483)/5 + 6/10. Let u be 2/7 - p/56. Suppose 0*i = -u*i - 52000. Round i to the nearest ten thousand. -30000 Let o = 0.29 - 0.13. Let i = o - 0.31. What is i rounded to 1 dp? -0.2 Let q = -222.0000578 - -222. Round q to five decimal places. -0.00006 Let a be (-59)/(-236) - (66807/12 + 3). What is a rounded to the nearest one hundred? -5600 Let a = 0.114672 - 0.1201. Round a to 3 dps. -0.005 Let b(v) = 285*v + 67. Let r be b(-16). Round r to the nearest 100. -4500 Let z = -69 - -68. Let b be (0 + (-112)/z)*325. Round b to the nearest 1000. 36000 Suppose 5*r - 4 = 11. Suppose 5082 = 3*t + r*t. Let g = -427 + t. Round g to the nearest one hundred. 400 Let p = 0.03796 - -357.86204. Round p to the nearest 10. 360 Let x = 1.05 + -0.05. Let v = x + -1.1. Let z = -0.0965 - v. What is z rounded to three dps? 0.004 Let b = 49 + -49.031. Let l = b - -0.0310076. Round l to six decimal places. 0.000008 Suppose 2*r - 2 = -2*h - 8, -2*r = 10. Let t = h - 8. Let u(k) = 2*k**3 - 2*k**2 + 9*k + 8. Let q be u(t). What is q rounded to the nearest 100? -600 Let i = -187 - -121.5. What is i rounded to the nearest integer? -66 Let a = 0.143 + -0.15696. What is a rounded to 4 decimal places? -0.014 Let b = -25 + 22.6. Let w = 17.4 + b. Let z = -15.0000072 + w. What is z rounded to 6 decimal places? -0.000007 Let m = -7097 - -4417. What is m rounded to the nearest one hundred? -2700 Let f = 37.88 + -37.90323. Round f to two decimal places. -0.02 Let s = 55 + -54.912. Let t = 0.035 + s. What is t rounded to one dp? 0.1 Suppose 0*n = -w + 3*n - 12, -4*n + 22 = -2*w. Let b(p) be the second derivative of -p**3/6 - 2*p**2 - 26*p. Let x be b(w). Round x to the nearest ten. 10 Let m = -0.22 + 0.21999862. What is m rounded to seven dps? -0.0000014 Let c = -155 + 155.0000359. Round c to 6 dps. 0.000036 Let d = -2727451.30999905 - -2727444.31. Let n = 7 + d. What is n rounded to seven dps? 0.000001 Let i = -189.1 - -189.327. What is i rounded to 2 dps? 0.23 Let r = 74 - 107. Let l = r + 18. Let a be 0 + 709998 - (l + 13). Round a to the nearest 100000. 700000 Let g = 750128 + -750126.862439. Let a = g + -23.137577. Let q = a - -22. Round q to 5 dps. -0.00002 Let w = 35.30177 - 35.28. Let n = 0.07 + -0.048. Let x = n - w. What is x rounded to 4 dps? 0.0002 Let w be (-2)/4 + 105/(-10). Let i(u) = -613*u**2 - 15*u + 8. Let f be i(w). Round f to the nearest 10000. -70000 Let b = -1.144 - -1.1439771. Round b to six dps. -0.000023 Let b = 33632 - 19632. What is b rounded to the nearest 100000? 0 Suppose 2*i = -4*z + 2970, i + i + z - 2985 = 0. Suppose i = 6*s - 3725. What is s rounded to the nearest one hundred? 900 Let u(l) = -12*l**2 - 3*l + 3. Let k = 51 + -50. Let n be u(k). What is n rounded to the nearest ten? -10 Let s = 29 - 42. Let y(p) = -683*p**3 - 4*p**2 - 11*p - 18. Let m be y(s). What is m rounded to the nearest one hundred thousand? 1500000 Let g = -873 + 913.7. Let f = -0.9 + g. What is f rounded to the nearest ten? 40 Let l(o) = 4263*o - 82. Let m be l(14). What is m rounded to the nearest 10000? 60000 Suppose 0*b = -2*s - b + 407994, 3*b + 815978 = 4*s. Let a be 0 + s/(-2 - -6) - -1. What is a rounded to the nearest ten thousand? 50000 Let l = -125053 - -125061.1327. Let t = l + -8.1. Round t to 3 decimal places. 0.033 Let b = 11617964.9767802 + -29083245.276782. Let z = 17465278 + b. Let m = z + 2.3. What is m rounded to six decimal places? -0.000002 Let w = -549.138172 + 516.1381677. Let z = 33 + w. What is z rounded to 6 dps? -0.000004 Let s = 0 + 0. Let z(f) = 940011*f - 33. Let l be z(3). Suppose s = -26*p + 29*p - l. What is p rounded to the nearest one hundred thousand? 900000 Suppose -31 + 11 = -4*z. Suppose 5*f - 5*g = -270, -z*g - 148 = 3*f - g. What is f rounded to the nearest ten? -50 Let i = 37 - 29. Let t be i/(-44) + (-103400002)/(-11). Round t to the nearest 1000000. 9000000 Let p = -15.58 - -16. Let k = p - 10.62. What is k rounded to the nearest integer? -10 Let d = 1434.807 + -1435. Round d to 3 decimal places. -0.193 Let z = -10 - -8. Let n = -0.25 - z. Let x = 1.74921 - n. Round x to four dps. -0.0008 Let j = 36.8 + 2. Let z = j + -44. What is z rounded to the nearest integer? -5 Let i = 525.00000564 - 525. What is i rounded to six decimal places? 0.000006 Let l(p) = -26132*p - 56. Let a be l(-8). Round a to the nearest one hundred thousand. 200000 Let j = 4.8 - 4.800037. Round j to 4 dps. 0 Let c be 4/(-14) - 4/(-14). Let n(a) = 3712880 + 1797148 + a**2 + 687269 - 1297297. Let l be n(c). Round l to the nearest 1000000. 5000000 Let v = 87.961092 - 87.411. Let d = 0.55 - v. Round d to five dps. -0.00009 Let l = -0.029 - -0.071. Let y = l - 0.041993. Round y to 6 decimal places. 0.000007 Let i = 0.07597 + -0.075973367. Round i to seven dps. -0.0000034 Let g(z) = -20742*z**3 - 4*z**2 + 2. Let k = -2 - -7. Let n = k - 8. Let p be g(n). What is p rounded to the nearest one hundred thousand? 600000 Let q = -404.489 - -403. What is q rounded to 1 dp? -1.5 Let a = -64.999843 + 65. Round a to 4 decimal places. 0.0002 Let i be (4305 - 1)*(-1885 - -10). Round i to the nearest 1000000. -8000000 Let b = -0.03 + 0.21. Let r = b + -0.34. Let c = r - -0.159884. What is c rounded to five dps? -0.00012 Suppose 0 = -5*w - 22354441 - 7645559. Round w to the nearest 1000000. -6000000 Let o = -392.485 + 1.585. What is o rounded to the nearest one hundred? -400 Let g be ((-4)/10)/(3/15). Let a(t) = 160982*t**3 + 3*t**2 + 3*t + 1. Let s be a(g). Let y = -2587849 - s. Round y to the nearest 100000. -1300000 Let g = 4.4516 + 0.2334. What is g rounded to zero decimal places? 5 Let w = 289843691842426.0999967 - 289843673227818. Let c = w + -18614600.1. Let j = 8 - c. Round j to six dps. 0.000003 Suppose 12 = -5*v + 3*v. Let f be (75/v + -1)*(-14000)/(-3). What is f rounded to the nearest ten thousand? -60000 Let k = 221612667.000059 - 221612559. Let t = 83 + 25. Let v = k - t. Round v to 5 decimal places. 0.00006 Let u = 1153 + -1152.99997617. Round u to 6 decimal places. 0.000024 Let c = -0.073 + 0.08. Let l = 0.0136 + 0.0064. Let n = l - c. What is n rounded to 3 decimal places? 0.013 Suppose -18*x + 2*x - 213440000 = 0. Round x to the nearest 1000000. -13000000 Let v = -1013 - -1012.874. Round v to two decimal places. -0.13 Let p be (92370/(-1))/(-18 - -19). Round p to the nearest 10000. -90000 Suppose -2659885758 = -46*d + 616694242. What is d rounded to the nearest one million? 71000000 Suppose 2*g + 2*g = 5*p - 28, -p = 4*g + 4. Let h be 4/(-10) - (-160)/25. Let v be 6*p/h*-275. What is v rounded to the nearest one hundred? -1100 Suppose -5*b + 12 = -b. Suppose b*n - 1008000 = -n. What is n rounded to the nearest ten thousand? 250000 Let k = 32 + -23. Let l = 9.000058 - k. Round l to 5 dps. 0.00006 Let y = 1.07 - -1.09. Let s = y + -2.1252. What is s rounded to three decima
{ "pile_set_name": "DM Mathematics" }
s digit of y(h)? 8 Suppose -60 = -c - 3*c. Suppose 4*j - 2*a = 0, -j + 4 = 5*a - 18. Suppose 0*f + f - j*i = c, 0 = 3*i. What is the tens digit of f? 1 Suppose 4*n - 3*q + 6 = 0, -6*q = 2*n - 2*q + 14. Suppose -5*a + 10 = -15. Let c = a + n. What is the units digit of c? 2 Let w = 14 + 18. What is the tens digit of 239/4 - (-8)/w? 6 Let b be 6/(-3 - (-27)/6). Suppose 4*a - 528 = -b*a. What is the tens digit of a? 6 Let i(c) = c + 5. Let q(x) = x - 2. Let m(o) = i(o) + 4*q(o). What is the tens digit of m(6)? 2 Let u be 0/((1 - 3)/(-2)). Suppose u = 21*z - 22*z. Suppose v + 4*v - 10 = z. What is the units digit of v? 2 Suppose -540 = -3*m - y, -5*y - 40 + 220 = m. What is the tens digit of m? 8 What is the tens digit of (-63)/168 - (-13542)/16? 4 Let x(z) = -33*z**2 - 2*z + 7. Let t(m) = -32*m**2 - m + 7. Let u(g) = -3*t(g) + 2*x(g). Let f be u(3). Suppose 2*j + 3*j - f = 0. What is the units digit of j? 2 Suppose 3*i + t = 5771, 0*t - 7691 = -4*i - 5*t. What is the hundreds digit of i? 9 Let t = -46 + 88. Let u be (-12 - -12)/(4/2). Suppose t = -u*d + 2*d. What is the units digit of d? 1 Let p = -116 - 68. Let w = 17 - p. What is the units digit of w? 1 Suppose 0 = -4*m - 15 - 1, 0 = a + 3*m - 499. What is the hundreds digit of a? 5 Let l be (8/(-9))/(-4) - 5275/45. Let m = -49 - l. What is the units digit of m? 8 Let d = -436 - -1792. What is the thousands digit of d? 1 Let a(n) = 2*n + 9. Let b be (-15 + 3)/(-3) - 3. Let v = b - -17. What is the units digit of a(v)? 5 Suppose 14 = -3*o + 2*o. Let y be (7/(-14))/((-1)/o). What is the units digit of -1*5*(y - -6)? 5 Suppose 0 = -3*a + 2*v - 26, -5*a - 48 = -5*v - 8. Suppose 4*y = 83 + 77. Let n = y + a. What is the units digit of n? 0 Suppose 3716 = 5*k - 4809. What is the units digit of k? 5 Suppose -37*o + 11805 - 705 = 0. What is the units digit of o? 0 Suppose -3*k - 56 = 3*s - k, 4*k = s. Let c = 25 + s. What is the units digit of 1/1 + (c - 3)? 7 What is the units digit of 2*(2695/2 + 10)? 5 What is the thousands digit of 436414/332 + (-10)/4? 1 Let y(s) = 3*s**3 + 10*s**2 - 13*s + 15 - 4*s**3 + 5. Let z(h) = -2*h**3 + 12*h**2 + 14*h + 8. Let o be z(7). What is the tens digit of y(o)? 4 Let h be (1 - 27/(-15))*5. Let m be 1 + 0/(-2) + h. Suppose r = 4, -m = 2*g - 3*g - 2*r. What is the units digit of g? 7 Suppose -9*d + 121 = -1292. What is the hundreds digit of d? 1 Let q(b) be the second derivative of -b**5/20 - 13*b**4/12 + 13*b**3/6 + 21*b**2/2 - 5*b. What is the units digit of q(-14)? 5 What is the units digit of 17045/15 + 9/(-27)? 6 Suppose -7*k = -3*d - 9*k + 8725, 5*k = 5*d - 14575. What is the thousands digit of d? 2 Let l(f) = 2*f**2 - 2*f + 2. Let b be l(2). Suppose a + b = -n - 2*a, -a = 3*n - 6. What is the units digit of n? 3 Let j = 113 - 1802. What is the tens digit of 2/(-3) + j/(-9)? 8 Suppose 6*f - 2*f + q - 5 = 0, 0 = 5*f - 2*q - 3. Let o be -4*f/2 + 2. Suppose o*y - 5*y = -115. What is the units digit of y? 3 Let t(y) = -4*y + 3. Let u be t(-3). Let n(a) = 7 + 3 + 2*a - u. What is the units digit of n(6)? 7 Suppose -10*s + 12067 - 1977 = 0. What is the tens digit of s? 0 Suppose -5*q - 450 = 395. Let l = -84 - q. What is the tens digit of l? 8 Let p be 108 - -3*(-4)/(-6). Let l be 6*3017/420 + (-1)/10. Let j = p - l. What is the tens digit of j? 6 Suppose 0 = -20*k + 5*k + 5145. What is the tens digit of k? 4 What is the tens digit of (5225/(-30))/(-11)*6? 9 Let l = -7 - -12. Suppose 7 = -l*t - 23. What is the tens digit of (t + 2)*(-10 + 4)? 2 What is the hundreds digit of 793 + (-3)/((-15)/(-5))? 7 Let h = -370 - -622. Suppose 3*s - h = -0*m + 3*m, -90 = -s - 2*m. What is the tens digit of s? 8 Let m = -8 - -19. Suppose 2*i - 3 - m = 0. Suppose 3*n = -z + 11, -z = i*n - 5*n - 7. What is the units digit of n? 4 Let q be -6 + 561 + 4/4. Let o = q - 352. What is the units digit of o? 4 What is the units digit of (2 - -5)/7*105*3? 5 Suppose 0*j + 362 = j + 3*v, -v = 5*j - 1796. What is the tens digit of j? 5 Let m be (3/4)/(3/(-144)). Let s = -25 - m. What is the tens digit of s? 1 Let f be 9/(-2)*4/(-6). Suppose -4*t = f*r - 25, 3*r - t - 35 = r. What is the units digit of r? 5 Let j(p) = 12*p - 24. Let n(u) = 11*u - 24. Let t(x) = 5*j(x) - 4*n(x). What is the tens digit of t(6)? 7 Suppose -4*l + 998 = -f - 122, 2*f - 271 = -l. What is the tens digit of l? 7 Let d = 3 + -8. What is the units digit of d + 12/4 + 33? 1 Suppose -3*l = -4*y + 9, 2*l = 2*y + l - 5. Suppose -u + 4*u - 4*b - 297 = 0, 5*u - y*b = 495. Let a = -53 + u. What is the tens digit of a? 4 Let h(s) = -s**3 + 9*s**2 + s + 9. Let d(k) = -3*k - 33. Let b(g) = -g - 17. Let a(l) = -5*b(l) + 2*d(l). Let m be a(10). What is the units digit of h(m)? 8 Let o(w) = -w**3 - w**2 + w - 5. Let r be o(0). Let u = -16 + r. Let m = 42 + u. What is the tens digit of m? 2 Suppose 76*s - 32 = 68*s. Let m = 29 + 5. Suppose 31 = c + s*a, c = -c - a + m. What is the units digit of c? 5 Let l = 2536 - 775. What is the hundreds digit of l? 7 Let u(t) = 174*t**2 + 6*t - 3. What is the units digit of u(1)? 7 Suppose 0 = 2*m - 3*g + 3, 2*g - 3*g = 3*m - 12. Let y = m + 3. Suppose 4*h + s - 36 = 0, -42 = -3*h - 3*s + y*s. What is the tens digit of h? 1 Let x = 1 + -40. Let d = 12 - x. What is the units digit of d? 1 What is the hundreds digit of (-17*(2 - -88))/(3/(-2))? 0 Let f(d) = -d**2 - 18*d + 24. Let l be f(-19). Suppose 78 = 6*v - 5*v - 2*u, 2*v - 174 = -l*u. What is the units digit of v? 2 Let a(z) = -2*z - 3. Let b be a(-2). Let d be (8/b)/2 + -2. Suppose 4*c = -y - c + 12, -d*c = 2*y - 48. What is the units digit of y? 7 Suppose -3*c = -3*o + 2*c - 39, 2*o + c = -13. Let d(n) = -n**2 - 10*n - 16. Let u be d(o). Suppose u = -4*a + 68 + 180. What is the units digit of a? 2 Suppose 8*g = -16 - 184. Let v = g + 100. Suppose 3*q + 5*p - 161 = 0, 49 = 2*q - 5*p - v. What is the units digit of q? 7 Let m(s) = -958*s + 17 + 20 + 1020*s. What is the tens digit of m(4)? 8 Let q(g) = 5*g - 2. Let i be q(-1). Let m(w) = w**2 - 2*w - 10. What is the tens digit of m(i)? 5 What is the hundreds digit of (-81650)/(-322) - 4/7? 2 Suppose -8*l + 11*l - 75 = 0. Let y = 11 + l. What is the tens digit of y? 3 Suppose 2*k - 2*x = -0*k, k = 2*x + 2. Let w = -485 + 483. What is the units digit of k/w*(-11 + 13)? 2 Suppose 29*l - 30*l + 1779 = 0. What is the thousands digit of l? 1 Let c(x) = x**3 + 8*x**2 - 7*x - 10. Let a(s) = -s**3 - 8*s**2 + 6*s + 10. Let i(m) = 5*a(m) + 6*c(m). Let y = -28 + 19. What is the tens digit of i(y)? 1 Let j be 27/18*2/3. What is the tens digit of 14 - (1 - j/1)? 1 Let s(z) = 6*z + 5. Let m(d) = d - 6. Let g be m(0). Let x be s(g). Let o = x - -56. What is the tens digit of o? 2 Let f = 32 - 9. Let g = f - 5. What is the tens digit of ((-2)/(-6) - -1)*g? 2 Suppose 3*b = -2 + 8. Let v be (78/(-4))/((-1)/2). Suppose -o + v = -3*y, -o + b*y - 6*y + 4 = 0. What is the tens digit of o? 2 Let f be -102 + 0*(-1 + 2). Let k be (1/3)/((-1)/f). Let y = 47 - k. What is the units digit of y? 3 Suppose -w - 3*w - 309 = -5*x, 329 = 5*x + w. Let r = x + -45. Let g = 28 - r. What is the units digit of g? 8 Suppose 2*f - 38 = -8. Suppose -5*i = 5*s - 5, -f = 2*s + s. What is the units digit of i? 6 Let v = 1986 + -1205. Suppose 4*d + v = 4*h + 7*d, -975 = -5*h - 4*d. What is the tens digit of h? 9 Let k = -15 - -11. Let c be ((-30)/(-4))/((-3)/k). Let x(t) = t**2 - 10*t + 8. What is the units digit of x(c)? 8 Suppose -5*j = -89 - 56. Suppose g - 23 = 33. Let d = g - j. What is the tens digit of d? 2 Let q = 8 - 4. Suppose -2*b + q*i - 10 = 0, 3*i = -3*b + 2*i + 13. Let z = 3 + b. What is the units digit of z? 6 Let q(b) = 53*b - 1. Let i be ((-4)/(-6)*-3 - -3)*2. What is the tens digit of q(i)? 0 Suppose -5*f + 3*o = -2*o - 65, -f - 4*o - 12 = 0. Let j(z) = -1 + 10 - z + 0 + f. What is the tens digit of j(-13)? 3 Let n(c) be the second derivative of 5/2*c**3 - c**2 + 0 + 2*c. What is the units digit of n(2)? 8 Suppose 4*n - 100 = -k, 4*k - 125 = 4*n + 195. Let z = -38 + k. Suppose 3*d - z = 5*t, -42 = -3*d - d - 3*t. What is the units digit of d? 2 Let k = -94 + 260. What is the hundreds digit of k? 1 Let s be (-10 + 6)/(2/(-6)). Let v(i) = -2*i**3 + 25*i**2 - 13*i + 13. What is the units digit of v(s)? 1 Let w(c) = -c**2 -
{ "pile_set_name": "DM Mathematics" }
d 81/135716. 271432 What is the least common multiple of 11 and 1041441? 11455851 What is the smallest common multiple of 423 and 1833? 5499 Calculate the common denominator of 117/4312 and 31/4312. 4312 Calculate the least common multiple of 312 and 7144. 278616 What is the common denominator of -125/29376 and 89/16512? 2526336 Calculate the smallest common multiple of 16 and 140852. 563408 Calculate the smallest common multiple of 795 and 15105. 15105 What is the common denominator of -22/139959 and 139/466530? 1399590 Calculate the common denominator of -8/5 and 121/102. 510 What is the common denominator of 5/19208 and 7/596? 2861992 What is the smallest common multiple of 12690 and 180? 25380 What is the common denominator of 143/13356 and 85/224? 106848 Calculate the smallest common multiple of 3959 and 5069. 542383 Calculate the lowest common multiple of 25180 and 226620. 226620 Find the common denominator of -31/14 and 95/35634. 249438 Find the common denominator of -24/61 and 17/4. 244 Find the common denominator of 91/2 and 19/281060. 281060 Find the common denominator of -69/34112 and 47/11232. 921024 Find the common denominator of 97/16608 and 161/1584. 548064 What is the common denominator of 107/44282 and 103/695860? 4871020 What is the lowest common multiple of 4 and 14690? 29380 Find the common denominator of -17/18480 and 7/48. 18480 Calculate the smallest common multiple of 12006 and 162. 108054 What is the smallest common multiple of 6512 and 2849? 45584 Calculate the common denominator of 151/60 and -81/7730. 46380 Calculate the lowest common multiple of 110630 and 212750. 2765750 What is the least common multiple of 20 and 148290? 296580 What is the smallest common multiple of 2340800 and 18? 21067200 What is the common denominator of 109/64848 and 109/84? 64848 Calculate the least common multiple of 1045330 and 361845. 9407970 Calculate the least common multiple of 22 and 3614170. 39755870 Calculate the common denominator of -79/2310 and 1/4830. 53130 Calculate the smallest common multiple of 22 and 254054. 2794594 Calculate the common denominator of -37/5960 and 89/3080. 458920 What is the smallest common multiple of 112434 and 176682? 1236774 What is the smallest common multiple of 735208 and 58? 735208 What is the common denominator of 19/1711 and -99/18290? 530410 Find the common denominator of -79/54 and -83/270. 270 Find the common denominator of 61/18 and 79/230252. 2072268 Calculate the common denominator of -21/11 and -83/28958. 318538 What is the common denominator of 35/913 and 62/13363? 146993 Calculate the smallest common multiple of 1545 and 19610. 6059490 Calculate the lowest common multiple of 132759 and 96552. 1062072 Calculate the common denominator of 13/12420 and -61/900. 62100 Find the common denominator of 85/1232 and 113/2464. 2464 Calculate the lowest common multiple of 14388 and 33. 14388 What is the lowest common multiple of 37625 and 8729? 1091125 What is the smallest common multiple of 88 and 4600? 50600 What is the smallest common multiple of 6 and 91551? 183102 Calculate the lowest common multiple of 17480 and 224. 489440 What is the common denominator of 32/795 and -43/2103? 557295 Calculate the least common multiple of 3552 and 80. 17760 Calculate the lowest common multiple of 318 and 38. 6042 Calculate the common denominator of -1/302244 and -77/201496. 604488 What is the least common multiple of 105 and 90713? 1360695 Calculate the least common multiple of 522 and 50460. 151380 What is the common denominator of -85/42408 and 29/381672? 381672 Calculate the least common multiple of 10368 and 27648. 82944 What is the smallest common multiple of 14780 and 10? 14780 Find the common denominator of 169/31740 and -73/45. 95220 What is the smallest common multiple of 13648 and 8? 13648 Find the common denominator of 97/84576 and -109/78. 1099488 What is the least common multiple of 2310 and 1650? 11550 Find the common denominator of 87/77960 and -181/116940. 233880 Find the common denominator of 47/5475 and 113/1164. 2124300 What is the smallest common multiple of 12220 and 25? 61100 What is the smallest common multiple of 35538 and 15? 177690 Calculate the smallest common multiple of 20176 and 143. 221936 Calculate the common denominator of -53/83266 and -51/8. 333064 What is the lowest common multiple of 2860380 and 80? 11441520 What is the least common multiple of 2420 and 664? 401720 Calculate the lowest common multiple of 258 and 42327. 3640122 Find the common denominator of 57/68 and -30/13753. 55012 Calculate the least common multiple of 1256 and 2204. 692056 Calculate the lowest common multiple of 104715 and 75. 523575 Find the common denominator of 13/360 and -61/39300. 235800 What is the least common multiple of 2625 and 1385? 727125 Find the common denominator of -28/545 and 93/176144. 880720 Calculate the least common multiple of 182744 and 822348. 1644696 Calculate the lowest common multiple of 392 and 210. 5880 Calculate the common denominator of 41/16215 and 31/304842. 1524210 What is the least common multiple of 18632 and 52? 242216 Find the common denominator of 71/396 and -67/100485. 401940 Calculate the lowest common multiple of 1386 and 6446. 406098 Calculate the lowest common multiple of 342 and 3370. 576270 What is the smallest common multiple of 5708 and 37102? 74204 Calculate the common denominator of 34/1485 and 7/18. 2970 Calculate the common denominator of 28/21373 and -37/871. 277849 What is the lowest common multiple of 2156 and 638? 62524 Calculate the least common multiple of 4254 and 19852. 59556 Calculate the lowest common multiple of 26577 and 2953. 26577 Calculate the common denominator of 133/219708 and 83/238. 1537956 What is the smallest common multiple of 18432 and 18432? 18432 Calculate the smallest common multiple of 662806 and 96996. 3976836 What is the common denominator of -169/1554 and -41/85729? 514374 Calculate the least common multiple of 144 and 76920. 461520 What is the least common multiple of 9288 and 69660? 139320 Calculate the common denominator of 33/51910 and -71/174. 155730 Calculate the smallest common multiple of 294 and 76. 11172 Calculate the common denominator of 11/2040 and -97/3944. 59160 What is the least common multiple of 621 and 6510? 1347570 Calculate the common denominator of 13/42 and 25/46. 966 Calculate the common denominator of 47/4910 and -17/13748. 68740 Calculate the lowest common multiple of 1134508 and 44. 12479588 What is the lowest common multiple of 60 and 391548? 1957740 Find the common denominator of -163/39816 and 209/14700. 6967800 Calculate the common denominator of -77/138 and -71/5313. 10626 Calculate the least common multiple of 15568 and 4448. 31136 Find the common denominator of -97/17290 and -56/7345. 1953770 Calculate the common denominator of -8/1903 and -18/25777. 283547 Calculate the smallest common multiple of 182052 and 5446. 1274364 Find the common denominator of -22/10259 and 67/20518. 20518 What is the common denominator of -27/10 and 3/3571324? 17856620 What is the lowest common multiple of 257558 and 18397? 257558 Calculate the lowest common multiple of 441 and 2472. 363384 What is the smallest common multiple of 367698 and 12? 735396 What is the lowest common multiple of 11024 and 2379? 2017392 What is the common denominator of -115/3108 and -123/100? 77700 Find the common denominator of -127/2301950 and 52/7. 2301950 What is the least common multiple of 216930 and 35? 216930 Calculate the common denominator of 25/11 and 67/203634. 2239974 Calculate the smallest common multiple of 846 and 24111. 48222 What is the smallest common multiple of 150 and 240390? 1201950 What is the least common multiple of 126 and 141302? 1271718 What is the common denominator of -13/101568 and 31/46? 101568 Calculate the common denominator of 169/648900 and -11/38625. 3244500 Calculate the common denominator of 5/132 and 121/11362. 749892 What is the lowest common multiple of 192 and 17616? 70464 What is the lowest common multiple of 733796 and 4088? 1467592 Find the common denominator of -73/1652 and 91/5428. 37996 Calculate the least common multiple of 1816 and 9307. 74456 What is the lowest common multiple
{ "pile_set_name": "DM Mathematics" }
-30)/(-15))/1)/(3 + 4/(-1)). Which is the closest to 8? (a) -0.3 (b) w (c) 0.16 c Let q be ((-6)/(-27))/(7/63). Let r(h) = -2*h**2 + 30*h + 366. Let z be r(-8). What is the nearest to 1/4 in q, z, 133? q Let g = 400 - 522. Let b = g - -121. What is the nearest to b in 2/5, -1, -4, -25? -1 Let t = 0.0778 + -4.9898. Let o = t + -0.088. Let l be (2 - 1)*(5 - (-12)/(-3)). What is the nearest to l in -2, 1/5, o? 1/5 Let f = 98.4 + -98.3. Let y = -87 + 611/7. Which is the closest to 0.036? (a) y (b) -0.5 (c) f c Let l = 470 + -469.746. Let a = -1.854 + l. What is the nearest to 2/5 in -5, a, -5/3? a Let p be 102/(-8)*(-27)/(4860/4632). Let v = -328 + p. Suppose 4 = -l - l. Which is the closest to -1? (a) v (b) l (c) 2/3 b Let t = 3.2 - 27.2. Let i = 27.2 + t. What is the closest to i in 0.1, 0.3, -5/6? 0.3 Let u = 340 + -863. Let p = u + 517. Let l = 1.1 - 0.1. What is the nearest to l in 0.4, p, 1? 1 Let s = 23 - 22. Let y be 94/(-104) + s + (-22)/(-143). What is the nearest to -6 in -3/5, y, 1? -3/5 Suppose 22*i - 11270 = -11380. Let w(b) = b + 7. Let y be w(-8). What is the closest to -7 in -3, y, -2/5, i? i Suppose p + z = 1, -p - 3*z = 2 + 1. Let n(r) = -r**3 - 4*r**2 - r - 2. Let x be n(-4). Suppose t = p*t - x. What is the nearest to -2 in 0, t, -1? -1 Let f(d) = -d - 1. Let s be f(-6). Let u = -392.61 + 0.61. Let v = 391.9 + u. Which is the nearest to 0? (a) s (b) -0.3 (c) v c Suppose -15*u - u = -720. Let q be 26/195 + 1/u*-11. What is the nearest to -1/2 in 3, 2/11, q? q Suppose 10*h + 10 = 5*h. Let o be 1/(-6)*(h + 1). Suppose 0*p - 3*p = 5*l - 23, -2*p = -3*l + 10. Which is the closest to p? (a) -0.4 (b) o (c) 0 b Let i = -8.587 + 5.587. Which is the nearest to 6? (a) i (b) -0.23 (c) 2 c Let n = 0.081 + -5.081. Let w be 0*(5 + -8*(-4)/(-8)). Which is the nearest to 0.03? (a) n (b) -4 (c) w c Let n = 1041 - 2097/2. Which is the closest to n? (a) 0 (b) 2/9 (c) 3 a Let z be (4/8)/(29/(-58))*(-8)/(-12). Which is the closest to z? (a) -6/11 (b) 2 (c) 4 (d) 0 a Suppose 36*w - 37*w - q - 1 = 0, -5*w = -5*q - 45. Suppose w = -244*d + 246*d. Which is the closest to -0.2? (a) 4 (b) -9 (c) d c Let o = -5211 + 5215. Which is the closest to -1/4? (a) -51 (b) o (c) -0.3 c Let w = -48 + -161. Which is the nearest to w? (a) -5 (b) -1 (c) 1/3 (d) -0.2 a Let o = -18191 - -18188. What is the nearest to -1/4 in 0.5, o, 11/6? 0.5 Let q = -1.8 - -0.7. Let r(u) = 5*u**2 + 13*u - 104. Let n be r(-6). What is the nearest to q in n, 0.4, 2? n Let b = 116919 + -116919. Suppose z - 2 = -0*z. What is the nearest to 7 in z, 3, -0.3, b? 3 Let o = -56 - -86. Let f = -25 + o. Suppose 2*b - 2 + 6 = 0. What is the nearest to 4 in f, 0.3, b? f Let u = 2.26367 + -3.26367. Let y = 0.1 + 0. What is the nearest to y in u, -3/2, 45, -0.3? -0.3 Let q = -3 + 3.1. Let n = 20.4 - 23.4. Which is the nearest to q? (a) n (b) 1/2 (c) -2 b Let b = -88297/83828 + 3/4412. What is the closest to -0.2 in 4, -0.2, b, 1/8? -0.2 Let w = -42 + 41.5. Let d = -198585/53 - -3747. Let j = -292/1643 + d. Which is the closest to j? (a) 3 (b) 1/3 (c) w b Let i be 0 + (-92)/(-36) + -3. Let l be (0 - (-61)/2)/(3/6). Let v = 60 - l. Which is the closest to v? (a) -5 (b) -0.6 (c) i b Let z = -95.14 - -94.74. What is the closest to 2/7 in z, 0.5, -0.06? 0.5 Let c = -11046.353 - -11058. Let h = -0.353 - c. Let b = -13/12 - -1/3. What is the nearest to 1/4 in 0.5, h, b? 0.5 Suppose 136*v - c = 141*v - 43, 3*c = -3*v + 33. What is the nearest to 0.11 in -0.2, 3, v? -0.2 Let c = 2300.2 - 2307. What is the closest to c in -2, 0, 1, 4? -2 Let i = 17899 - 17898. Which is the nearest to 1? (a) 20 (b) 2/3 (c) i (d) -3/7 c Let g be (-34)/(-102)*(-2 + (3 - 1)). What is the nearest to g in 4, 12, 8/7? 8/7 Let l = -0.341 + 0.253. Let k = -0.288 - l. Let v = 1.1 - 1.2. Which is the nearest to v? (a) k (b) 3 (c) -0.5 a Let k = -399 + 398. Let w be (-2)/(4/(-5)) + -2. Which is the closest to w? (a) k (b) -4 (c) -4/7 c Let i = 8/1101 + 869/31929. What is the nearest to -1/3 in -0.5, -0.03, i, -5? -0.5 Let j be ((-14)/6 - -2)/(730/1095). Which is the closest to 2/7? (a) 0.1 (b) 0 (c) j (d) 0.2 d Let j(n) = n**2 + n - 3. Let w be j(2). Suppose 3*t - w*o = -0*t, o = -4*t + 10. Let p be t - (264/(-63))/(-2). Which is the closest to 0? (a) 5 (b) p (c) 0 c Let l = 6 + -4. Let i = -209 + 204. Let c = -1 - -0.7. What is the closest to c in 4, l, i? l Let n be (-12 - -15)/3 - -9. Which is the nearest to -1/5? (a) -0.6 (b) 1/3 (c) n (d) -3/2 a Let k = -0.362 + -2.118. Let x = 2.08 + k. What is the closest to 1/4 in -1/39, x, 1? -1/39 Let h(k) = k - 2. Let w be h(6). Let v be ((-35)/((-350)/(-12)))/((-1)/(-45)). Let i be 45/(-5)*12/v. Which is the nearest to w? (a) i (b) 5 (c) 0.4 b Let l = -24008 - -24019. Let q be 1/2 - (-2)/4. What is the nearest to -0.1 in 0.5, l, q? 0.5 Let y = 3 + -6. Let h be (-9)/(-45)*(63 + -58). Which is the closest to 0.2? (a) h (b) 2/7 (c) y b Let i = 48.3 + -73. Let u = -24.8 - i. Let p = 5.6 - 6. Which is the nearest to u? (a) p (b) 2 (c) 6 a Let s = 1 - 0. Let m be (-66)/385*((-52)/8 + 9). Which is the nearest to s? (a) m (b) -1 (c) -0.1 c Let z = -0.10588 - -2.10588. What is the nearest to 51 in z, 3, 0.1, 12? 12 Let a = -200.5 - -200.7. Let u = -332/35 - -46/5. What is the nearest to -0.1 in a, -14, u? u Let v = 6921.2 + -6921. Which is the closest to -0.6? (a) -1 (b) v (c) 0.5 (d) -1.6 a Let m = 2404 - 2401. What is the closest to -67 in 1/6, m, -1/4? -1/4 Let g = 39.26 + -46.26. What is the nearest to g in -0.5, -2/9, 7, -2/13? -0.5 Let y = 1609.9 - 1619.9. What is the nearest to y in 3, 1, -25.9? 1 Let y be 1 - 3 - (-7)/3. Let w = 1.7 + 0.3. Let f = -0.35 - -0.15. Which is the closest to f? (a) y (b) w (c) -1 a Let u be 5 - ((-173)/692 + 2/((-40)/(-97))). What is the nearest to u in 3/4, 3/7, 2? 3/7 Let o be (-8)/(-28) - (-32599)/(-67620). Let w = 1/276 - o. Which is the closest to w? (a) 1/5 (b) -0.1 (c) -1 a Let i be 4 + (1 - 4) - 10/14. Let h = 0 + 1. Let y = 135 + -135. Which is the nearest to h? (a) i (b) 0.4 (c) y b Let h = 40 - 44. Let l = -3614/3 + 1204. What is the closest to -1/2 in l, 0, h? l Let p be 258/602*14*2/(-24). Let n be 2/6*6/8. Which is the closest to n? (a) p (b) 4 (c) 1.1 a Let k = -5 - -4. Let h = -34624 - -34619. Which is the closest to 0.1? (a) k (b) 2 (c) h a Let f = 1275 + -1279. What is the closest to 2/7 in 0.2, -0.16, f? 0.2 Let b be ((-2076)/(-2768))/(21/(-8)). Let q = 552/1355 - 2/271. What is the nearest to q in 3, -2/5, b? b Let x = -13.6532 + -0.3468. Which is the closest to -11? (a) 1/4 (b) x (c) -4 b Suppose 173*y - 44 = 176*y + 5*k, -5*k + 20 = -5*y. What is the nearest to -140 in y, 1, -0.2? y Let l = 0.358 - 0.558. Which is the closest to 1? (a) 2 (b) 2/9 (c) l (d) -727 b Let f be (-3 - -1 - 1) + (-26526)/(-7749). Let y = f - -2/369. Which is the nearest to -1? (a) y (b) 1 (c) 3 a Let w = -6106 + 6109. Which is the closest to w? (a) 0.06 (b) -1/3 (c) 0.4 c Let x = 156.7 + -157.7. Which is the nearest to x? (a) -3 (b) 3.6 (c) 0 c Let y = -6639.8 - -6640. Which is the nearest to 1? (a) y (b) 0.111 (c) 11 a Let o = 2205.9 + -2205.9. Which is the closest to o? (a) -3/4 (b) 18 (c) -6 (d) -1 a Let f = 30.542 - 30.342. What is the closest to 7 in -0.2, 0, f, 0.68? 0.68 Let j = -57 + 33. Let h = 44 - 14. Let l = h + j. Which is the nearest to 0.1? (a) -0.2 (b) -2/15 (c) l b Suppose v + 6*z - 2*z + 121 = 0, z = -2*v - 242. Let f = 109 + v. Let d be 9/f + (-210)/(-216). What is the closest to 0.2 in 1/17, 3, d? d Let s(p) = 2*p**2 + 51*p - 49. Let l be s(1). Let h = -2 + 3. What is the closest to l in 0.04, -3/2, h? h Let o = -0.074 + -0.926. Let w = -188 + 176.3. Let z = -11.3 - w. Which is the closest to z? (a) -1/7 (b) o (c) -0.3 a Let k = -4.4 - -4.63. Let a = k - -0.07. Let j = -8108/5 + 1622. What is the nearest to j in -0.1, a, -1/6? a Let l be ((-248)/(-84) - 2) + 8/(-28). Let q = -297/316 + 15/79. What is the closest to l in q, -5, -4? q Let z = 12 + -14. Let w = 134.5 + -171. Let j = w - -36. Which is the closest to z? (a) 4 (b) j (c) 4/3 b Let g = 3.795 + -3.29. Let v = g - 9.505. Which is the nearest to v? (a) -1 (b) -
{ "pile_set_name": "DM Mathematics" }
oooommqo? 1/2380 Calculate prob of sequence uaj when three letters picked without replacement from xxaxaxuxuxdaxajdxaah. 1/570 Two letters picked without replacement from {c: 1, d: 8, l: 11}. Give prob of sequence cd. 2/95 What is prob of sequence tq when two letters picked without replacement from qkkqxqtqqukqtjt? 3/35 What is prob of sequence zf when two letters picked without replacement from {z: 7, f: 2, j: 7, t: 1}? 7/136 What is prob of sequence uua when three letters picked without replacement from {a: 2, u: 4, s: 3}? 1/21 Four letters picked without replacement from {k: 1, h: 3, t: 2, a: 3, s: 1}. What is prob of sequence khah? 1/280 What is prob of sequence gsg when three letters picked without replacement from gggggssgg? 1/6 Calculate prob of sequence tt when two letters picked without replacement from {b: 1, t: 3, n: 1, w: 1, p: 1}. 1/7 Calculate prob of sequence wih when three letters picked without replacement from {g: 1, h: 2, i: 1, w: 6, j: 3, o: 2}. 2/455 Three letters picked without replacement from imumuiumubui. What is prob of sequence ibu? 1/88 What is prob of sequence jj when two letters picked without replacement from yyjsjrrrrrrrwwrws? 1/136 Calculate prob of sequence tff when three letters picked without replacement from {f: 19, t: 1}. 1/20 Four letters picked without replacement from {h: 1, p: 3, g: 1}. What is prob of sequence pghp? 1/20 What is prob of sequence tott when four letters picked without replacement from {t: 15, o: 4}? 455/3876 What is prob of sequence psa when three letters picked without replacement from {s: 3, p: 2, t: 2, w: 1, a: 9}? 9/680 Two letters picked without replacement from oso. Give prob of sequence oo. 1/3 Four letters picked without replacement from {u: 11, a: 4, s: 4}. Give prob of sequence sssu. 11/3876 Calculate prob of sequence tcbp when four letters picked without replacement from {p: 9, t: 2, c: 1, b: 4, q: 1}. 3/2380 What is prob of sequence ffm when three letters picked without replacement from {d: 2, a: 4, m: 1, f: 1}? 0 Calculate prob of sequence bb when two letters picked without replacement from {b: 10}. 1 Calculate prob of sequence ztt when three letters picked without replacement from {z: 1, t: 2, q: 1}. 1/12 Calculate prob of sequence twtt when four letters picked without replacement from {x: 4, w: 3, t: 6}. 3/143 What is prob of sequence vj when two letters picked without replacement from zvzjzzzzzzgzzzzjz? 1/136 Calculate prob of sequence hoph when four letters picked without replacement from hhphhhrhhopwhpppphpp. 8/1615 Two letters picked without replacement from ddo. What is prob of sequence do? 1/3 Two letters picked without replacement from {n: 2, c: 3, b: 1, o: 2, p: 9}. What is prob of sequence nc? 3/136 Calculate prob of sequence nji when three letters picked without replacement from {i: 1, t: 2, o: 2, b: 1, j: 1, n: 2}. 1/252 Three letters picked without replacement from ymmiyiiiiiyim. What is prob of sequence ymi? 21/572 Four letters picked without replacement from jmrrmrrrjjrrjjrrrj. What is prob of sequence jrmj? 5/612 What is prob of sequence kl when two letters picked without replacement from lllklqqiqqq? 2/55 What is prob of sequence oo when two letters picked without replacement from uotpo? 1/10 Two letters picked without replacement from {x: 3, j: 4}. What is prob of sequence jx? 2/7 Two letters picked without replacement from yeyyp. What is prob of sequence yp? 3/20 Calculate prob of sequence qqz when three letters picked without replacement from {d: 2, z: 3, q: 12}. 33/340 Two letters picked without replacement from ectkeiktkkseekkt. Give prob of sequence et. 1/20 Two letters picked without replacement from {k: 5, o: 3, b: 3}. Give prob of sequence ko. 3/22 Four letters picked without replacement from {w: 1, t: 2, v: 2, x: 2, q: 1}. Give prob of sequence wvqx. 1/420 Four letters picked without replacement from {k: 2, y: 3, g: 2, h: 8, w: 2}. What is prob of sequence hhkh? 1/85 Four letters picked without replacement from {s: 4, g: 1, i: 2, a: 1}. What is prob of sequence gsai? 1/210 Four letters picked without replacement from {r: 8, k: 3, o: 7}. What is prob of sequence krok? 7/1530 Four letters picked without replacement from uaquu. What is prob of sequence uauu? 1/20 Four letters picked without replacement from {y: 5, i: 3, m: 2}. Give prob of sequence immy. 1/168 What is prob of sequence rr when two letters picked without replacement from rbbbbsbbbbbfrf? 1/91 Calculate prob of sequence cccc when four letters picked without replacement from {z: 8, c: 5}. 1/143 Three letters picked without replacement from hcnn. What is prob of sequence hnh? 0 What is prob of sequence anx when three letters picked without replacement from {x: 4, a: 2, z: 3, y: 2, n: 7}? 7/612 What is prob of sequence izs when three letters picked without replacement from {s: 4, c: 1, z: 1, n: 1, i: 2, o: 3}? 1/165 Three letters picked without replacement from qmqqqmfqqmbbqqbfbqb. What is prob of sequence bmb? 10/969 Calculate prob of sequence ma when two letters picked without replacement from {a: 2, w: 1, e: 1, n: 1, r: 1, m: 1}. 1/21 Two letters picked without replacement from stststsssssssss. What is prob of sequence ts? 6/35 Two letters picked without replacement from zkylzkkkklzll. What is prob of sequence ly? 1/39 Calculate prob of sequence vg when two letters picked without replacement from {n: 8, v: 1, g: 6}. 1/35 Three letters picked without replacement from wwiffilgwwgipp. Give prob of sequence iiw. 1/91 Two letters picked without replacement from {c: 1, g: 3, f: 3, a: 2, o: 3, v: 3}. Give prob of sequence fa. 1/35 Three letters picked without replacement from {h: 10, t: 5, j: 4}. Give prob of sequence ttt. 10/969 Two letters picked without replacement from {s: 2, r: 2, c: 1, e: 1, f: 2}. What is prob of sequence se? 1/28 Calculate prob of sequence ct when two letters picked without replacement from {t: 1, g: 11, k: 2, c: 2}. 1/120 What is prob of sequence wgmi when four letters picked without replacement from {w: 4, m: 2, i: 4, a: 2, g: 2, r: 1}? 8/4095 Three letters picked without replacement from dssddgs. Give prob of sequence ssd. 3/35 Two letters picked without replacement from ukcuggfgxkgfgfggf. What is prob of sequence xc? 1/272 Three letters picked without replacement from dzfddrdesffrdef. Give prob of sequence frr. 4/1365 What is prob of sequence kvxa when four letters picked without replacement from {x: 1, a: 1, n: 5, c: 1, k: 1, v: 3}? 1/3960 Calculate prob of sequence qqqq when four letters picked without replacement from {q: 5, t: 5}. 1/42 Calculate prob of sequence qn when two letters picked without replacement from qyhdqhndqnhhhdh. 1/35 Calculate prob of sequence ww when two letters picked without replacement from wwwzzqwwqjqz. 5/33 Calculate prob of sequence xxii when four letters picked without replacement from xixixxxioxixo. 21/715 Two letters picked without replacement from {z: 1, k: 1, b: 1, g: 1, s: 1, n: 2}. What is prob of sequence bg? 1/42 Three letters picked without replacement from oauuadzq. Give prob of sequence zad. 1/168 Three letters picked without replacement from ppppppppp. Give prob of sequence ppp. 1 Calculate prob of sequence hp when two letters picked without replacement from ppnpppplpnhlllhnp. 1/17 What is prob of sequence jb when two letters picked without replacement from xjjjxxkbxjkbxxjkx? 5/136 Calculate prob of sequence tgt when three letters picked without replacement from {n: 1, g: 7, t: 6, k: 4}. 35/816 Two letters picked without replacement from {b: 3, u: 3, o: 7, t: 2, a: 3}. What is prob of sequence au? 1/34 Four letters picked without replacement from wwllwljj. What is prob of sequence wwlj? 3/140 Calculate prob of sequence uk when two letters picked without replacement from skaukullul. 1/15 What is prob of sequence ph when two letters picked without replacement from {n: 1, p: 7, h: 5}? 35/156 Four letters picked without replacement from dydoyqqdqyhyqqq. What is prob of sequence dyyq? 3/455 What is prob of sequence ti when two letters picked without replacement from {d: 1, i: 1, t: 1}? 1/6 Two letters picked without replacement from {z: 7, m: 3}. What is prob of sequence zz? 7/15 Calculate prob of sequence iff when three le
{ "pile_set_name": "DM Mathematics" }
Let l = 0.1 - 0.3. Let r = l + -0.1. Which is bigger: 2 or r? 2 Suppose -2*b - 1 + 7 = 0. Which is smaller: b or 7? b Let j(n) = -n**3 + 11*n**2 - 8. Let g be j(10). Let k = 551/6 - g. Is -1 >= k? False Let k = -0.02 - -2.02. Is k bigger than -4? True Suppose -2*k + 15 = u, -2*u + 4*k = 3*u - 5. Suppose u*f = 3*f - 3*p + 159, -5*f - 2*p = -392. Let b be 1/4 + f/(-24). Is b > -3/2? False Let i be (-1)/(-3)*-3 + -2. Let p be i/7 + 104/14. Which is bigger: 5 or p? p Suppose 0 = -10*k + 5*k. Suppose k = u + 2 - 9. Suppose 4*l - 2*l = 14. Is l bigger than u? False Let j = -0.08 + 0.05. Let z = j - -0.03. Is z at most 0.1? True Let u = -6 - -9. Suppose -u*r = y + y - 3, -3*y - 18 = -3*r. Which is smaller: y or -2? y Let j be 7294/(-144) + 4/(-18). Let o = -51 - j. Which is greater: 1 or o? 1 Let m = -9 - -9.01. Let i = m + -9.01. Let k = 7 + i. Is k greater than 0? False Let u be (2/(-8))/((-6)/72). Let g be 1/15*-3*u. Let b be (6/4)/(3/(-4)). Is b < g? True Let u(j) = -j**2 + 7*j + 5. Let s be u(7). Suppose -10 = -0*k - s*k. Let h be 96/198 - k/3. Which is greater: -2/3 or h? h Let w = 0.7 + -0.6. Let l = w - 0.2. Are l and 0.2 unequal? True Let u(c) = -2*c**3 - 2*c**2 + c - 1. Let b be u(-2). Suppose 5*s + 9 + 6 = b*r, 2*s = 5*r - 9. Let h = 5 - 8. Is h greater than or equal to s? False Let t = 0.17 + -0.27. Let o = 1.3 - 1. Let q = 0.5 - o. Is q >= t? True Suppose -5 = -4*j - 1. Which is smaller: 7/3 or j? j Let h = 0.2 + -0.4. Let f = 0.3 + h. Is -0.2 smaller than f? True Let m be -7 + 12 + (-4)/2. Are m and 9 equal? False Let m = -37 - -25. Let c = -11 - m. Is 1 at most c? True Let v be 2/(1 - (-2 - -1)). Suppose 3 = -2*l + 1. Let c = v + l. Are 1 and c unequal? True Let v be (8/(-20))/((-1)/5). Is v less than or equal to 0? False Let y = 0.4 + -0.3. Let a be (8/66)/(2/3). Which is greater: a or y? a Let d be -1 - 8*(-1)/(-2). Suppose i + 5*b = 11, 0*i = -5*i + b - 23. Which is bigger: i or d? i Suppose 0*p = -2*p + 2. Let c = 0 + p. Let g be 8/10 + (-1)/5. Is g > c? False Let x = -36 - -28. Is x smaller than 0.3? True Suppose -l + 2*l + 24 = 0. Is l at most -24? True Let y(b) be the third derivative of -b**5/60 + b**4/8 + 5*b**3/6 - 4*b**2. Let o be y(4). Let a be 5/15 - (0 + o). Which is smaller: a or 3? a Let l = -0.134 - -2.424. Let w = -0.09 + l. Let z = w + -0.2. Do z and 0 have different values? True Let z = 1 - 0. Suppose -3*n + 10 = -8*n. Let l be (n/(-14))/(4 - 3). Do z and l have the same value? False Let c be 3 + -1 + 1 + -1. Let k = 4 - c. Is 0 at most k? True Let n be 24/16 - 7/4. Which is smaller: n or 2/3? n Let t = -31 - -29. Do 1/2 and t have the same value? False Suppose 2 = -4*v - 6. Suppose 3*y - 1 - 2 = 0. Let s = v + y. Which is greater: s or 2/5? 2/5 Let t(u) = u**3 - 4*u. Let y be t(3). Suppose 0*s + y = -5*s. Let v = s - -7. Is 1 at least v? False Let w be ((-8)/3)/(16 - 15). Is 0.1 equal to w? False Let k be (32/20)/((-2)/(-10)). Let g be (-6)/k*2*-4. Is g > 4? True Let b(a) be the third derivative of -1/8*a**4 - 1/15*a**5 + 1/120*a**6 + 0 - 2*a**2 - a**3 + 0*a. Let o be b(5). Is o < 2? False Let a be (0/(3/3))/(-2). Let y = 4 - a. Suppose -3*t - 2*h + 15 = 0, h + 10 - 1 = y*t. Which is greater: t or 4? 4 Let o = 5 - 6. Do o and -2 have different values? True Let m = 19 - 22. Which is greater: -26/5 or m? m Let d be (744/9)/(-4) + (-3)/9. Which is greater: d or -20? -20 Let g be (-6)/(-4)*20/(-6). Let j be g/(1 + 0/4). Which is bigger: j or -4? -4 Let w = 3 + -4. Let i = -6 - -5. Are i and w nonequal? False Let x be (4/12)/(19/(-63)). Let u = 277/285 + x. Let n = 3 + -4. Which is greater: u or n? u Let z = 3.3 + -1.3. Which is smaller: z or -4? -4 Let c = -100 - -108. Let v = 20 - 12. Do c and v have the same value? True Suppose -2*f + 13 = 3*r + 2*r, r = 4*f - 15. Suppose f*x + 2*g - 22 = 0, 3*g - 6 = 3. Suppose w + 16 = -x*c, 3*w - 9 - 8 = c. Which is smaller: w or 2? 2 Let q be (-113)/234 + (-6)/27. Let y = 20/9 + -529/234. Let a = q - y. Is -1 equal to a? False Suppose 0 = -6*a - 4 + 16. Suppose t = 6*t - 35. Let x = t - 4. Is x greater than or equal to a? True Let k = -1.1 - 3.9. Let a = k - -4.4. Let q = a + 0.4. Is -0.1 equal to q? False Let l be (-3)/(-9)*30/55. Which is greater: 1 or l? 1 Let w = -1.26 - -0.26. Which is smaller: w or -2/11? w Let s be (-28)/(-6)*(-24)/(-16). Is s < -3? False Suppose 6*c + 17 = 5. Is 30 not equal to c? True Suppose -5*r + 8*r + 39 = 0. Is r >= -15? True Let a = -22 - -64/3. Let s = 0 - 1. Is s at most as big as a? True Let s be 2 + -2 + 2/(-6). Which is greater: 6 or s? 6 Suppose 3*d + 17 = 5*f, 3*f + 1 + 0 = -d. Suppose 6*y - 18 = 9*y. Let j be (-10)/(-6) - 2/y. Are f and j equal? False Let b = -3/26 - -8/13. Which is smaller: -4 or b? -4 Let w = 0.19 + 2.41. Let r = w + -2.4. Which is smaller: r or 1/2? r Let l be (-1)/4*(-8)/(-3). Is -3 less than l? True Let c(p) = -3*p**3 + 2*p - 3. Let b be c(2). Let t be (-2)/7 + b/(-7). Let n(h) = h**3 - 4*h**2 - 6*h + 7. Let s be n(5). Is s less than or equal to t? True Let r = -102 + 101. Which is smaller: r or -7/17? r Let i be (-1664)/36 - (-4)/18. Let l be ((-1)/2)/(i/(-4)). Let p = 37/207 - l. Is 1 greater than or equal to p? True Suppose 2*c + 3*c - 25 = 0. Let m be ((-20)/30)/(2/(-18)). Is c equal to m? False Let t = -10.9 - -11. Let q = t + -0.1. Are q and 0.6 equal? False Suppose -2*x - 3*p = 8, 3*x + p = 2 - 7. Do x and -1 have the same value? True Let d = 6.3 + 1.7. Let l = 8.1 - d. Which is greater: l or 5? 5 Suppose -3*h - 19 = 4*i, 3*i = -2 - 1. Let q = h - 25. Let f be (q/(-20))/(2/(-4)). Is -2 < f? False Let m = 242/5 - 51. Is m greater than -2? False Let a(h) = 0*h + 0 + h - 3 - 1. Let n be a(0). Let u be (n/(-8))/((-21)/(-36)). Which is bigger: u or 0? u Suppose 3*s - 5*w + 5 = -7, 3*w = -2*s - 8. Let u = -40 + 37. Is s at least as big as u? False Let i be (2 + -1 - 5)/13. Let s = -1123 + 1122. Is s <= i? True Let q(v) = 19*v - 1. Let i be q(-1). Let a be i/28 + 8/(-28). Is a at least 2/15? False Let n be 13/52 - ((-51)/(-60) + -1). Which is smaller: -15 or n? -15 Let p = 8 - 8. Suppose p = -s + 6 + 2. Suppose w - 8 = -4*d, 2*w + s*d - 10 = 3*d. Is 3/7 > w? True Let z = 4.9 + -5. Which is smaller: -5 or z? -5 Let t be (2/36)/((-4)/(-8)). Let r be 3*(3 + -4)*-1. Suppose -r*g = -g. Which is smaller: g or t? g Let k = 6.6 + -6. Let w = -0.7 + k. Which is smaller: w or -3/4? -3/4 Let g be (-1)/3 + (-5)/12. Let a = 1 + -3. Let h = a + 1.9. Is h greater than or equal to g? True Let a = -44.95 + 45. Is a at most -1? False Let d = -7 + 8. Let z = 3 - d. Which is smaller: 0.1 or z? 0.1 Let c = -16 + 15. Which is bigger: 5 or c? 5 Suppose 0 = -3*f - 3*y + 1 - 13, 5*y + 20 = 2*f. Let c be 1 - -2*(-1)/(-2). Suppose -c*n + 5*v = -5*n - 22, -n - 5*v = 24. Which is smaller: n or f? f Let c = 0 - -2. Suppose -2 = -12*h + 11*h. Let i = h - c. Which is greater: i or -3? i Let w = 2 + 7. Is w != 0.1? True Let c = 184 + -184.08. Which is bigger: -1 or c? c Suppose -6*g + 3*g - 6 = 0. Let i = g - -3. Which is bigger: i or -1/16? i Let c be (0 - (1 - 34))/(9 - 7). Is c < 17? True Let o = 178 - 182.92. Let b = 0.08 - o. Is b > 1/2? True Let o(v) = -v**2 + 7*v + 6. Let b = -11 - -17. Let m be o(b). Let a be 3/m + (-33)/100. Which is greater: 0 or a? 0 Let v(p) = p + 7. Let w be v(-6). Let m be ((-8)/28)/(2*-1). Which is smaller: w or m? m Let f = 74 + -74. Which is greater: f or 6/11? 6/11 Let a = -5.5 - -4. Let n = a + 1.4. Which is bigger: -0.3 or n? n Suppose 0 = -4*c - c. Suppose c = -4*a + a. Let l = -2203/9 + 245. Is l less than or equal to a? False Suppose 11*o + 7*o = 5*o. Is o > -7/5? True Let w = 3.5 + -0.5. Let s = 179 - 178.7. Which is bigger: w or s? w Let b = 3 - 2.96. Let d = 11.6 + -13.56. Let g = d - b. Which is bigger: 2/7 or g? 2/7 Let h = -182649/44 + 16487/4. Let b = h + 29. Which is bigger: 1 or b? 1 Let q = -13 + 18. Let t = 1 - q. Let h be -2 + ((-56)/6)/t. Which is smaller: 3 or h? h Suppose 5*d = -5*w - 70, 3*w - 2 = 4*d - 9. Is -9 < w? False Let m = -6 + 8. Let n be 18/(-20)*(-10)/6. Is m bigger than n? True Let y = -0.01 - -5.01. Let t = -6 + y. Let q = -0.2 - 0. Which is greater: t or q? q Let v = 186 + -169. Which is greater: -1 or v? v Let u(j) = -j. Let h be u(-2). Let a be (-3)/(20/12 - h). Does 10 = a?
{ "pile_set_name": "DM Mathematics" }
mmon factor of 621390 and 189420. 2310 Calculate the highest common factor of 6200 and 358825. 775 Calculate the greatest common factor of 980 and 47369770. 490 Calculate the highest common divisor of 2709 and 5551371. 63 Calculate the highest common divisor of 37387 and 170471. 343 Calculate the greatest common factor of 356290 and 1727. 11 What is the highest common factor of 2245219 and 14043? 151 Calculate the greatest common divisor of 968 and 81992. 8 What is the highest common factor of 1883 and 33116052? 269 What is the highest common divisor of 78208 and 19328? 128 What is the highest common divisor of 12544375 and 1875? 625 Calculate the greatest common factor of 360 and 971160. 120 Calculate the greatest common factor of 1457 and 279227. 47 Calculate the greatest common divisor of 217090 and 7870. 10 What is the greatest common divisor of 10495002 and 420? 42 Calculate the highest common factor of 188285 and 85. 5 Calculate the greatest common divisor of 129672 and 249552. 72 Calculate the highest common divisor of 20 and 9278110. 10 Calculate the greatest common divisor of 12002 and 124950. 34 What is the greatest common factor of 26052 and 499876? 52 What is the highest common divisor of 152 and 25763772? 76 What is the highest common divisor of 66593957 and 398? 199 Calculate the highest common factor of 9477 and 612534. 39 Calculate the greatest common factor of 30864312 and 144. 72 What is the highest common divisor of 7 and 68693632? 7 What is the greatest common factor of 43596 and 10059? 21 Calculate the highest common factor of 56 and 9366232. 8 What is the greatest common divisor of 353 and 38929546? 353 Calculate the highest common factor of 607299 and 2667. 21 What is the highest common divisor of 4896 and 2306784? 96 Calculate the greatest common factor of 1287800 and 564. 188 Calculate the highest common factor of 664 and 18456. 8 Calculate the greatest common factor of 93666 and 137886. 402 Calculate the highest common factor of 31040 and 10427015. 485 What is the greatest common divisor of 108842054 and 310? 62 What is the greatest common divisor of 59389 and 1628? 11 What is the highest common divisor of 5472973 and 209? 11 What is the highest common divisor of 60928 and 955094? 238 What is the highest common factor of 86148534 and 24? 6 Calculate the greatest common factor of 32064 and 958464. 192 What is the greatest common divisor of 43266548 and 8? 4 Calculate the greatest common divisor of 11197095 and 18299. 631 What is the highest common divisor of 57 and 447347609? 19 What is the greatest common factor of 8850 and 564276? 354 Calculate the highest common factor of 21164 and 5019124. 1628 What is the greatest common factor of 454410 and 42415? 85 Calculate the greatest common divisor of 14500 and 485402. 58 What is the highest common factor of 158373553 and 13? 13 Calculate the highest common divisor of 12692691 and 1980. 99 Calculate the greatest common divisor of 5665292 and 46996. 1516 What is the highest common divisor of 3348 and 7490592? 1116 What is the highest common factor of 70 and 2259082? 14 Calculate the greatest common factor of 340522 and 3094. 182 Calculate the greatest common divisor of 1386641 and 188. 47 Calculate the highest common divisor of 128307 and 66975. 57 Calculate the highest common factor of 188039 and 6751. 43 What is the greatest common divisor of 5233659 and 430? 43 What is the greatest common factor of 20608 and 84224? 896 What is the highest common factor of 1624 and 14922472? 232 What is the greatest common factor of 12282 and 1761846? 138 What is the greatest common factor of 110842667 and 13? 13 What is the highest common divisor of 713 and 905855? 23 What is the highest common factor of 19542269 and 151? 151 Calculate the greatest common divisor of 11190797 and 180045. 4001 Calculate the greatest common factor of 699 and 61047. 3 What is the greatest common divisor of 72085 and 6175? 65 What is the greatest common divisor of 24 and 448624332? 12 What is the greatest common divisor of 15073924 and 3128? 92 What is the highest common factor of 71343 and 17325? 9 Calculate the greatest common divisor of 3000670 and 50. 10 Calculate the greatest common factor of 259300 and 585600. 100 What is the highest common factor of 72712991 and 26? 13 Calculate the greatest common factor of 8013752 and 1940. 388 What is the highest common divisor of 133896 and 154728? 168 What is the greatest common divisor of 22440 and 22223080? 7480 Calculate the highest common factor of 128322031 and 703. 37 Calculate the highest common divisor of 6876 and 1515012. 2292 What is the highest common divisor of 374459499 and 37? 37 What is the highest common divisor of 589118 and 7922? 34 What is the greatest common factor of 102920481 and 2623? 61 What is the highest common factor of 492701670 and 117315? 10665 Calculate the highest common factor of 1527228 and 5056. 316 Calculate the highest common divisor of 1682 and 344056. 58 What is the highest common divisor of 36360 and 89829? 9 What is the greatest common divisor of 12587991 and 6? 3 Calculate the highest common factor of 136 and 264564268. 68 What is the greatest common divisor of 1557 and 917073? 1557 What is the greatest common factor of 713200 and 1773600? 400 Calculate the highest common divisor of 21 and 8569644. 3 What is the greatest common factor of 129379940 and 220? 20 Calculate the greatest common factor of 120660684 and 24. 12 What is the greatest common divisor of 18 and 12743559? 9 Calculate the highest common divisor of 4573300 and 1748. 76 Calculate the greatest common divisor of 634889825 and 4150. 2075 What is the greatest common factor of 80556 and 64092? 588 What is the highest common divisor of 1750 and 88500125? 875 What is the greatest common factor of 103190 and 6592627? 607 What is the highest common divisor of 2376318 and 3654? 1218 What is the greatest common factor of 34 and 443242? 2 Calculate the highest common divisor of 13918200 and 15. 15 What is the greatest common factor of 3193 and 2636767? 31 Calculate the greatest common divisor of 50592 and 2494291. 527 What is the highest common divisor of 623224468 and 46? 46 Calculate the highest common factor of 106856 and 2793418. 722 What is the greatest common factor of 547 and 2801544191? 547 What is the highest common divisor of 231374666 and 38? 38 Calculate the greatest common factor of 3958162 and 5382. 598 Calculate the greatest common divisor of 37285001 and 3289. 299 What is the greatest common factor of 576 and 3838248? 72 What is the highest common divisor of 24192205 and 23? 23 What is the greatest common factor of 2910052 and 722108? 4324 Calculate the highest common divisor of 6 and 74642224. 2 Calculate the greatest common factor of 13413 and 267915733. 4471 What is the highest common divisor of 15235276 and 2744? 196 Calculate the greatest common factor of 81412842 and 2286. 762 What is the greatest common factor of 368 and 69055232? 16 Calculate the greatest common divisor of 6160504 and 124936. 1288 Calculate the greatest common factor of 2854830 and 872070. 1230 What is the highest common factor of 142378 and 1285? 257 What is the greatest common factor of 11501 and 2586241? 371 Calculate the greatest common divisor of 11999 and 34788819. 169 What is the greatest common divisor of 5541786 and 6519? 159 What is the greatest common divisor of 79223505 and 1740? 435 What is the highest common divisor of 84 and 62780628? 12 Calculate the highest common factor of 49495316 and 6260. 1252 Calculate the greatest common divisor of 142065 and 276870. 165 Calculate the highest common factor of 39 and 107016910. 13 What is the highest common divisor of 123 and 47897799? 123 Calculate the greatest common factor of 1098 and 253480437. 549 Calculate the greatest common factor of 4437 and 38607. 51 Calculate the greatest common factor of 8288 and 4601024. 1184 What is the highest common factor of 27901335 and 19380? 255 Calculate the highest common divisor of 1790 and 91924555. 895 Calculate the greatest common divisor of 318812755 and 2385. 265 Calculate the greatest common divisor of 227262 and 7644. 294 What is the greatest common factor of 1446212 and 54
{ "pile_set_name": "DM Mathematics" }
61. Let p(j) = j + 12. Let m(l) = 11*p(l) + 2*r(l). Let v(b) = b - 10. What is the least common multiple of m(11) and v(16)? 42 Suppose 0 = -4*z + b + 67, -2*b = 3*z - 2*z - 10. Suppose z*q - 90 = 6. What is the least common multiple of q and 11? 66 Let a be (-6 - -4 - -1) + (-5 - -59). What is the common denominator of 19/231 and a/(-265) - (-127)/105? 1155 Suppose -4*i + j = -23730, 2*i - 2*j - 8474 - 3394 = 0. Let l = i - 53462/9. Let r = -7300 + 73113/10. What is the common denominator of l and r? 90 Let q = -301/10 - -137/20. What is the common denominator of q and (-778)/(-92) + -13 + 3? 92 Let n be ((-310)/124)/((-2)/44). Suppose -5*r - 3*t = -23, -5*r + 2*t = -3*t - n. What is the least common multiple of r and 21? 21 Let t = 332079833/1798 + -184694. Calculate the common denominator of -53/11 and t. 19778 What is the smallest common multiple of ((48/(-5))/(51/(-170)))/((-2)/(-21)) and 1050? 8400 Let z = 5942 + -5815. Calculate the smallest common multiple of z and 10. 1270 Suppose 8*b - 13*b = 3*v - 19, 3*v = -4*b + 17. Suppose 268 = 2*m + 2*u, -5*u + 4*u = -v*m + 386. Calculate the lowest common multiple of m and 6. 390 Let j(c) = -2*c**2 - 18*c + 13. Let z be j(-9). Let b(d) = -2*d**3 + 28*d**2 - 24*d - 6. What is the least common multiple of b(z) and 8? 40 Let x = 134 - 134. What is the smallest common multiple of x + 53 - (49 + -44) and 33? 528 Find the common denominator of 2 + (-266)/44 - -1 and 22 + (-60)/(-1386)*14724/(-30). 154 Let k(r) = 17599*r**2 + 3*r + 4. Let n be k(-1). Let g = n + -2886409/164. What is the common denominator of g and 45/32? 1312 Let p = 7673/60 + -1303/10. Calculate the common denominator of p and 19/3866. 23196 Suppose 78 = 7*m - 90. Suppose 0*f - 7 = -f. Suppose 11*x = f*x + 16. Calculate the least common multiple of x and m. 24 Suppose 0 = -5*j - 10, r + 3*j + 9 = 2*r. Suppose -4*l - 289*m = -286*m - 44, -l + 2 = 3*m. Calculate the lowest common multiple of l and r. 42 Let t = -1 + 4. Suppose 3*b = -4*q - 45, -1 = -b - 4. What is the smallest common multiple of (-9)/(((-1)/(-4))/(q/54)) and t? 6 Let u(n) be the first derivative of -19*n**2/2 - 299*n - 312. What is the lowest common multiple of 50 and u(-21)? 100 Let q(d) = 141*d + 336. Let x be q(18). Let l = x + -114927/40. Find the common denominator of l and -44/25. 200 Let q be 1/(4 + -3 - 2). Let s be 3/(-2) - (q + 242 + -1). Let f = -231 - s. Find the common denominator of f and 127/60. 60 Let z(x) = -2*x**2 - 23*x - 32. Let w be z(-12). Find the common denominator of 53/3 and w/(-20)*(-8)/18. 45 Suppose 44*q = 67285 - 22933. Calculate the smallest common multiple of q and 40. 5040 Suppose 5*p - 3*n - 192 = 0, -9*p + 5*p + 148 = -n. Calculate the smallest common multiple of (p/(-108))/(2/(-90)) + -3 and 18. 36 Suppose -l + 4*l = -129. Let r = 2 - l. What is the least common multiple of 30 and r? 90 What is the common denominator of 3995/850 + (0 - 0) + -6 and -29/105? 210 Suppose 5*v + 387 = -3*l, 0 = -4*v - 3*l - 243 - 66. Let q = 70 + v. Calculate the common denominator of q/(-14) - (-975)/(-126) and 149/6. 6 Let k(x) be the first derivative of x**2/2 + 14*x - 1. Let i = 797 - 810. What is the smallest common multiple of k(i) and 6? 6 Suppose 0*x - x = -10. Suppose 3*r - 6*r = -108. Suppose -s + 28 = 2*b, -b = -s + b + r. What is the lowest common multiple of s and x? 160 Let m = -1950 + 714. Calculate the common denominator of 10119/m - (2 - 10) and -103/10. 2060 Let o be -3*((-60)/5 + (-1 - 2)). Suppose -2*z - t = -o - 32, -112 = -3*z + 2*t. Find the common denominator of z/120 - 9/36 and -53/21. 105 Let i be ((-7116)/18)/(1475/(-1485) + 1). Let w = -24187229/412 - i. Calculate the common denominator of -95/18 and w. 3708 Suppose 63*d = 82*d - 114. Calculate the lowest common multiple of 22 and 264/(-2 + 8)*d/12. 22 Let a = -6997/1220 - -87/305. Let w = 7703/1298 - 742/177. Let m = w + -87/11. Find the common denominator of m and a. 60 What is the common denominator of 4515/(-5304) - (-462)/1001 and 71/14? 952 Suppose 2*u = -5*m + 9, -4*m + 2*u + 18 = -0*u. Let j be ((-2)/m)/((-8)/60). Suppose 0 = -j*a - 6*a + 22. Calculate the lowest common multiple of a and 2. 2 Let z = 1096 - 1736. Calculate the smallest common multiple of 49 and ((-14)/(-8))/((-32)/z). 245 Let p = 379498720135703276689/85601543339998657290 + -4/48511276594297. Let l = 1/58819 + p. Calculate the common denominator of l and 123/40. 120 Let w = -89/4 + 253/12. Find the common denominator of w and -83/226. 678 Let t(p) = -p**3 + p**2 + 6*p + 5. Let n be t(-2). Suppose j - i - 177 = -2*i, -j + n*i = -183. What is the smallest common multiple of 7 and j? 1246 Find the common denominator of 296/(-13664)*38 - (-4 - (-189)/49) and ((-7)/(-16))/(2/(-36)). 488 Let x(o) = -2*o + 4 + 8*o + 18 + 18. Let j be x(-20). Let h = -68 - j. What is the lowest common multiple of h and 10? 60 Let w = 8623/1470 - -33/490. Let t = 4393/20 + -221. What is the common denominator of w and t? 60 Suppose -2*r = 3*u - 588, -r - 13*u = -6*u - 316. Calculate the least common multiple of 84 and r. 2016 Let h = -73777625/71724 - -44234/43. Calculate the common denominator of h and -63/1390. 8340 Suppose 2*v - 4525 = -5*j, 5*v = -2*j + 206 + 11117. What is the least common multiple of 10 and v? 4530 Suppose -4*q - 5 = 19. Let n(t) = 2*t**2 - 6*t - 11. Let r be n(q). Suppose 0 = 5*c - 177 + r. What is the smallest common multiple of 18 and c? 144 Let w(x) be the second derivative of x**4/6 - 10*x**3/3 - 7*x**2 - 60*x. What is the smallest common multiple of 32 and w(11)? 32 Suppose 0 = -3*c + 4*o + 320, 5*c - 19*o = -20*o + 495. What is the least common multiple of ((-416)/(-91))/(48/21 - 2) and c? 400 Suppose -3*v + 14 = -16. Let d = 281 + -278. Suppose -2*c + v = 0, -2*o - d*o = c - 90. Calculate the least common multiple of o and 1. 17 Calculate the common denominator of (-105)/28 + 3/(-5) and (-1777)/330 - (-2)/(-110)*10. 60 Let v(w) be the third derivative of w**6/120 + 2*w**5/15 + w**4/3 + w**3 - 50*w**2. What is the lowest common multiple of v(-6) and 60? 60 Let g(l) = -l**3 + 19*l**2 - 2*l - 192. Calculate the smallest common multiple of 112 and g(18). 672 Suppose -272 = -11*d - 6*d. Suppose i + 5*k - 3 = -2, 3*i - 57 = 3*k. What is the lowest common multiple of d and i? 16 What is the common denominator of -107/1408 and (-9 + -5 + 17)/((-8)/(-9))? 1408 Let q(a) = 2*a**2 + 6*a + 5. Let p be q(-5). Suppose -30*z + 80 = -p*z. What is the least common multiple of 44 and z? 176 Let r(k) be the first derivative of 2*k**2 - 141*k + 60. What is the smallest common multiple of r(39) and 5? 15 Suppose -470*x + 840 = -462*x. Suppose -102*d - x = -123*d. What is the least common multiple of d and 284? 1420 Let j(h) = -15482*h - 26. Let s be j(2). Let c = s - -5082381/164. Find the common denominator of -55/6 and c. 492 Suppose -3*a = 2*a + 15, 5*a + 25 = 5*b. Suppose -2*x - 2*z - 1 = -37, 5*x = 4*z + 126. What is the lowest common multiple of b and x? 22 Let a(z) = z**3 - 6*z**2 + 9*z - 12. Let l be a(6). Let u(o) = -o - 33. Let n be u(-15). Calculate the common denominator of ((-30)/n + -3)/(5/l) and 13/5. 5 Suppose -3 = -2*g + 49. Let m = g + -35. Let u(z) = -2*z**2 - 18*z + 3. What is the least common multiple of 1 and u(m)? 3 Let o = 11848 + -6611201/558. Calculate the common denominator of -121/372 and o. 1116 Let g = 400265/252 - 6357/4. Find the common denominator of g and 47/504. 504 Suppose j + 2*i - 716 + 441 = 0, 551 = 2*j + 5*i. Calculate the least common multiple of 462 and j. 6006 Let i = 47 - 26. Let k = 2068 + -2038. Calculate the smallest common multiple of i and k. 210 Let u = 146410 + -142017723/970. Calculate the common denominator of 83/1455 and u. 2910 Let g = -37 - -53. What is the least common multiple of 72 and ((276/g)/23)/((-2)/(-80))? 360 Suppose 13*l = 19*l + 56376. Let y = -5864 - l. Let k = y - 53014/15. Find the common denominator of -40/9 and k. 45 Let j be (13505714/(-498))/(16/16). Let g = j + 27120. What is the common denominator of g and -29/9? 747 Suppose 39*w - 7274 - 6766 = 0. Suppose w = -14*r + 20*r. Calculate the least common multiple of r and 18. 180 Let x = 17287/10 + -1735. Calculate the common denominator of x and 7/400. 400 Calculate the common denominator
{ "pile_set_name": "DM Mathematics" }
7904*z - 23575824 = 0. -2946978, 2 Determine u so that -2*u**2 - 1135505352*u - 161171550552580488 = 0. -283876338 Factor -q**4/4 + 23859*q**3/4 - 29408100*q**2 - 76564447952*q. -q*(q - 12856)**2*(q + 1853)/4 Factor -3*q**4 - 4922517*q**3 - 2692369032111*q**2 - 490875413975343831*q - 4908484907772714210. -3*(q + 10)*(q + 546943)**3 Factor -5*k**4/6 + 847585*k**3/6 - 48279855*k**2/2 + 2751334425*k/2 - 26134744815. -5*(k - 169346)*(k - 57)**3/6 Let -52*x**4 + 25004*x**3 + 916188*x**2 - 796940*x - 144200 = 0. What is x? -35, -2/13, 1, 515 Factor -f**3 + 136594*f**2 + 2458935*f + 11065572. -(f - 136612)*(f + 9)**2 Factor 5*y**3 - 1993425*y**2 - 7973760*y - 7973780. 5*(y - 398689)*(y + 2)**2 Factor -104729450559627*f**2 + 70901436*f - 12. -3*(5908453*f - 2)**2 Factor -41512249*y**3/9 + 509486668*y**2/9 - 136850560*y/9 + 3097600/3. -(y - 12)*(6443*y - 880)**2/9 Factor 3*q**4 - 7096035*q**3 + 5594866430373*q**2 - 1470433470377556993*q + 5881644364101487476. 3*(q - 788447)**3*(q - 4) Determine j, given that 128*j**4 + 8964*j**3 + 49816*j**2 - 1263348*j - 39528 = 0. -61, -18, -1/32, 9 What is a in a**3/8 - 21*a**2/4 - 24615*a/8 - 54351/2 = 0? -132, -9, 183 Factor 2*i**2 + 237502*i - 237504. 2*(i - 1)*(i + 118752) Let -45*y**4 + 5601660*y**3 - 248254415*y**2 + 323537060*y - 107015820 = 0. Calculate y. 2/3, 43, 124437 Suppose -2*p**4/17 - 150610*p**3/17 - 753008*p**2/17 - 602400*p/17 = 0. What is p? -75300, -4, -1, 0 Factor v**3/2 + 84441*v**2 + 16372145*v/2. v*(v + 97)*(v + 168785)/2 Find b such that -5*b**5 + 23650*b**4 - 23600*b**3 - 212850*b**2 + 212805*b = 0. -3, 0, 1, 3, 4729 Find a such that 180*a**2 + 2717992*a - 120800 = 0. -15100, 2/45 Find y, given that -5*y**2 + 32080620*y + 192483900 = 0. -6, 6416130 Determine i so that 2*i**2/5 + 2964624*i/5 - 80046306/5 = 0. -1482339, 27 Suppose -19617609*s**5 + 430957956*s**4 + 3996215619*s**3 + 127924806*s**2 + 1367124*s + 4872 = 0. Calculate s. -7, -2/187, 29 What is t in 2*t**2/11 + 1490*t/11 - 174688/11 = 0? -848, 103 Let 5*l**5 + 715*l**4 - 172760*l**3 + 7636940*l**2 - 47055360*l - 321647040 = 0. What is l? -284, -4, 13, 66 Determine u so that -u**5/5 - 938*u**4/5 - 51872*u**3 - 17555162*u**2/5 + 259361*u/5 + 3511220 = 0. -419, -100, -1, 1 Factor 27*z**3 + 11555955*z**2 - 123265824*z + 328710912. 3*(z + 428009)*(3*z - 16)**2 Factor 5*m**2/6 - 193460035*m/6 - 193460045/3. 5*(m - 38692009)*(m + 2)/6 Let d**5/6 + 20*d**4/3 - 3861*d**3/2 - 47303*d**2/3 - 29834*d/3 + 27636 = 0. What is d? -126, -7, -2, 1, 94 Determine u so that 2*u**2 + 4938104*u + 3048108889352 = 0. -1234526 Factor 25*j**4 - 3897215*j**3 - 1558890*j**2. 5*j**2*(j - 155889)*(5*j + 2) Suppose b**2 + 421406*b + 6320865 = 0. Calculate b. -421391, -15 Let -2*l**4/3 + 786692*l**3/3 - 5506766*l**2/3 + 2622260*l = 0. What is l? 0, 2, 5, 393339 Let 5*m**5 - 26790*m**4 + 80295*m**3 + 160790*m**2 - 749820*m + 642600 = 0. What is m? -3, 2, 5355 Determine h so that -2*h**2 - 21475360*h - 57648885891200 = 0. -5368840 Determine z, given that -2*z**2 + 437156*z - 1311450 = 0. 3, 218575 Find s, given that -s**4/7 + 38*s**3/7 + 835*s**2 - 75074*s/7 - 516120/7 = 0. -66, -5, 17, 92 What is i in 28*i**3/11 + 81006*i**2/11 + 3122816*i/11 + 1541160/11 = 0? -2854, -270/7, -1/2 Suppose 8*b**4/9 - 17350*b**3/9 + 4312*b**2/3 + 17350*b - 13008 = 0. What is b? -3, 3/4, 3, 2168 Factor -5*x**3 + 2985*x**2 + 82145*x - 719565. -5*(x - 623)*(x - 7)*(x + 33) Suppose 2*t**4/13 - 880*t**3/13 + 41932*t**2/13 - 354320*t/13 + 832050/13 = 0. Calculate t. 5, 43, 387 Let -44*g**2 - 269995124*g + 49090024 = 0. What is g? -6136253, 2/11 Find u, given that -3*u**3 + 136680*u**2 + 1367025*u + 3417750 = 0. -5, 45570 Factor 21*a**2 + 1950*a - 509751. 3*(a + 209)*(7*a - 813) Factor -2*h**3/3 + 2546*h**2/3 - 243634*h + 20249682. -2*(h - 907)*(h - 183)**2/3 Factor -3*h**3 - 1702713*h**2 + 3405438*h. -3*h*(h - 2)*(h + 567573) Suppose -3*t**3 + 1023*t**2 - 42468*t + 80868 = 0. Calculate t. 2, 46, 293 Factor -2*b**2/7 - 21556*b/7 + 5923344. -2*(b - 1666)*(b + 12444)/7 Find n, given that -5*n**5 + 15535*n**4 + 171615*n**3 - 389815*n**2 + 202670*n = 0. -13, 0, 1, 3118 Solve 4*p**3 - 58887948*p**2 + 216736871784192*p + 216736930672144 = 0. -1, 7360994 Determine v, given that 2*v**2/11 - 7954*v/11 - 2694748/11 = 0. -314, 4291 Solve -68*c**3/5 + 2134*c**2 - 31126*c/5 - 41864/5 = 0. -1, 4, 5233/34 Solve 2*c**5/9 - 116*c**4/9 - 752*c**3/9 + 30716*c**2/9 + 250*c/3 - 3400 = 0 for c. -17, -1, 1, 15, 60 Factor -4*f**2/5 - 9136*f - 2545536/5. -4*(f + 56)*(f + 11364)/5 Solve 2*u**2/13 - 502*u/13 - 2030940 = 0 for u. -3510, 3761 Factor -11027*i**3/7 - 22044*i**2/7 + 20*i/7. -i*(i + 2)*(11027*i - 10)/7 Solve -81*x**5/4 - 1853967*x**4 - 169730266689*x**3/4 + 176028266505*x**2/2 - 48723150519*x + 3143437926 = 0 for x. -45778, 2/27, 1 Find p, given that -p**4 - 857*p**3 - 24243*p**2 + 466753*p - 1783012 = 0. -827, -44, 7 Factor 2*i**2/15 - 3581884*i/5 + 4811209871046/5. 2*(i - 2686413)**2/15 Solve -5*b**5 + 5340*b**4 - 1129060*b**3 - 161423360*b**2 - 2673972480*b + 6002585600 = 0 for b. -80, -22, 2, 584 Solve -5*i**3 - 56435*i**2 - 17459000*i - 1369400220 = 0 for i. -10971, -158 Determine w, given that 111*w**3 - 2766894*w**2 - 8376471*w - 224370 = 0. -3, -1/37, 24930 Find h, given that -2*h**2/11 - 593166*h/11 - 1779480/11 = 0. -296580, -3 Suppose 5*y**3 - 4350*y**2 - 35540*y + 368760 = 0. What is y? -14, 6, 878 Factor 3*y**3 + 10623084*y**2 - 21246177*y + 10623090. 3*(y - 1)**2*(y + 3541030) Factor 4*u**3 + 336640304*u**2 - 673280620*u + 336640312. 4*(u - 1)**2*(u + 84160078) Factor -1372*b**4 + 16503690*b**3 + 17683575*b**2 + 12631375*b/2 + 751875. -(b - 12030)*(14*b + 5)**3/2 Solve a**5 + 4344*a**4 + 5038001*a**3 + 683350830*a**2 - 718673364*a - 4130515512 = 0. -2094, -157, -2, 3 What is q in -q**4 - 70006*q**3 - 1225210008*q**2 + 70006*q + 1225210009 = 0? -35003, -1, 1 Determine s, given that 2*s**5/7 - 724062*s**4/7 - 10137116*s**3/7 - 52134156*s**2/7 - 117302310*s/7 - 97752150/7 = 0. -5, -3, 362045 Find x such that 2*x**4 + 829064*x**3 - 70484890*x**2 = 0. -414617, 0, 85 Determine k so that -k**2 + 10616792*k - 42467152 = 0. 4, 10616788 Find f, given that f**4/6 + 1387*f**3/3 + 207740*f**2 = 0. -2210, -564, 0 Solve 5*s**4 - 390420*s**3 + 7724918070*s**2 - 4041988978500*s + 535915280278125 = 0 for s. 267, 38775 Factor 2*n**4 - 1677540*n**3 + 351794396066*n**2 - 11256132356160*n + 90045623378432. 2*(n - 419369)**2*(n - 16)**2 Factor 2*n**3 - 13656*n**2 + 12241152*n + 41555666944. 2*(n - 4048)**2*(n + 1268) Factor -5*w**3 + 21652530*w**2 - 86610060*w + 86610040. -5*(w - 4330502)*(w - 2)**2 Factor 68796450*s**2/13 + 258060*s/13 + 242/13. 2*(5865*s + 11)**2/13 What is o in 3*o**4 - 51423*o**3 - 1081218*o**2 + 205692*o + 4324824 = 0? -21, -2, 2, 17162 Factor -p**2 - 1345747*p - 1345746. -(p + 1)*(p + 1345746) Find y such that y**2/6 + 59820*y + 358918/3 = 0. -358918, -2 What is i in -35*i**3 - 478150*i**2 - 3072715*i - 4642700 = 0? -13655, -4, -17/7 Factor -5*y**2 + 471000*y + 471005. -5*(y - 94201)*(y + 1) Factor 2*q**3 + 1200*q**2 + 154216*q - 3994848. 2*(q - 22)*(q + 234)*(q + 388) Let -95*g**2 + 52955*g - 105530 = 0. What is g? 2, 10553/19 Factor 4*i**3 - 29676*i**2 - 3037680*i - 3008000. 4*(i - 7520)*(i + 1)*(i + 100) Solve 1173*h**5 - 165*h**4 - 12903*h**3 + 22929*h**2 - 12354*h + 1320 = 0. -4, 55/391, 1, 2 What is f in -857*f**4/3 - 10702220*f**3/3 - 11144587484*f**2 - 133719719392*f/3 - 623401024/3 = 0? -6242, -4, -4/857 Suppose -2*p**2/11 - 1440154*p/11 - 2880300/11 = 0. What is p? -720075, -2 Factor -p**3 + 619102*p**2 + p - 619102. -(p - 619102)*(p - 1)*(p + 1) What is k in -138*k**4 - 23732*k**3 - 1352402*k**2 - 25545152*k + 741576 = 0? -66, -53, 2/69 Solve 2*b**4/5 - 144*b**3 + 13924*b**2/5 + 106176*b/5 + 18306 = 0. -5, -1, 27, 339 Factor x**2 - 25132930*x + 157916042596225. (x - 12566465)**2 Let x**2/6 + 1538*x + 293248/3 = 0. Calculate x. -9164, -64 Solve -5*m**2 + 21481330*m + 21481335 = 0 for m. -1, 4296267 Find c such that 5*c**2 + 1054240*c - 5271325 = 0. -210853, 5 Suppose 443*z**4/6 - 1550*z**3 - 462745*z**2/3 + 154670*z + 2109/2 = 0. Calculate z. -37, -3/443, 1, 57 Let -2*i**3 + 12703682*i**2 - 25407358*i + 12703678 = 0. What is i? 1, 6351839 Let -2*g**4/9 - 2105686*g**3/9 - 554240
{ "pile_set_name": "DM Mathematics" }
) + 5*l(d). d**3 - 2 Let q(p) = -2*p**3 - 5*p**2. Let u(v) = 7*v**3 + 21*v**2. What is -21*q(y) - 5*u(y)? 7*y**3 Let v(b) = 6*b**2 - 8*b. Let s(o) = -2*o**2 + 3*o. Determine -8*s(p) - 3*v(p). -2*p**2 Suppose 0 = 5*l - 1 - 9. Let q(s) = 0*s**2 + 4 - l*s + 1 - 4*s**2. Let v(x) = -6*x**2 - 3*x + 8. What is -8*q(d) + 5*v(d)? 2*d**2 + d Let f(i) = -25*i + 1. Let s(m) = -5*m. Let h(v) = -2*f(v) + 11*s(v). Let a(r) = 6*r + 3. Determine -4*a(j) - 5*h(j). j - 2 Let m(s) = -3*s**3 + 11*s**2 - 3*s - 8. Let y(t) = -t**3 + 4*t**2 - t - 3. What is -3*m(p) + 8*y(p)? p**3 - p**2 + p Let y(a) = 7*a**2 + 6*a. Let n(u) = -2*u + 2. Let x be n(-3). Let v(s) = 2*s - 10. Let c be v(x). Let m(f) = f**2 + f. Determine c*m(b) - y(b). -b**2 Let n(b) = -546*b - 105. Let p(s) = -21*s - 4. What is 4*n(q) - 105*p(q)? 21*q Let y(l) = 5*l + 11. Let s = 27 + -19. Let n(i) = -6 + s - 2*i + 3*i. Let h be (33*1)/((-9)/6). Give h*n(j) + 4*y(j). -2*j Let f(l) = -4*l + 9. Let j(n) = 3*n - 8. What is -5*f(x) - 6*j(x)? 2*x + 3 Let z(n) = 3*n**3 + n. Let y be z(2). Let g(c) = -29*c + 13. Let i(j) = 7*j - 3. Let w(l) = y*i(l) + 6*g(l). Let v(m) = 3*m. What is -11*v(x) + 4*w(x)? -x Let g(l) = 0*l - 10 - 15 + 65*l. Let c(z) = -8*z + 3. Calculate 25*c(y) + 3*g(y). -5*y Let l(k) = 13*k - 2. Let p(w) = -w. Determine -l(r) - p(r). -12*r + 2 Let p(z) = -2*z. Let f be (6/(-9) - -1)*6. Let d(x) = 1. Let b(s) = 2. Let i(h) = -b(h) + 3*d(h). Calculate f*i(w) + p(w). -2*w + 2 Let x(r) = 13*r**3 - 48*r**2 + r + 3. Let d(p) = -9*p**3 + 32*p**2 - p - 2. Determine 7*d(l) + 5*x(l). 2*l**3 - 16*l**2 - 2*l + 1 Let q(x) = 1. Let z(v) = v + 7. What is 4*q(h) - z(h)? -h - 3 Let f(q) = 7*q**2 + 15*q - 11. Let h(v) = 2*v**2 + 4*v - 3. Let w = -2 - -24. Give w*h(b) - 6*f(b). 2*b**2 - 2*b Suppose -n - p = 5, 0*n - 4 = 2*n + 5*p. Let v(d) = -9*d**3 + d**2 + 9. Let m(c) = -13*c**3 + c**2 + 13. Calculate n*v(h) + 5*m(h). -2*h**3 - 2*h**2 + 2 Let g(v) be the third derivative of v**6/120 - v**4/24 + v**2. Let i(f) = -4*f**3 + 3*f + 2. Let r be (-1)/((-2)/10) - 4. Calculate r*i(y) + 3*g(y). -y**3 + 2 Let t(q) = 2*q**3 - 3*q**2 - 4*q + 1. Let u(i) = i**3 + i**2 + i - 1. Give -t(g) - 3*u(g). -5*g**3 + g + 2 Suppose -5*m = -2*m - 105. Let b = m - 24. Let f(x) = -5*x. Let j(t) = -26*t. What is b*f(z) - 2*j(z)? -3*z Let v(u) = u. Let z(i) = -4*i - 1. Suppose b + 3*l - 30 = 0, 0 = -5*b + 5*l + 104 + 6. Suppose -y + 5*y = b. Give y*v(t) + 2*z(t). -2*t - 2 Let d(z) = 8*z**3 + 6*z**2 - 6*z. Let b(r) = -2*r + r**3 + 2*r - r + r**2 + 0*r. Let g = 15 + -21. Give g*b(w) + d(w). 2*w**3 Let a(y) = -y - 1. Let x(l) = 5*l - 18. Give -6*a(m) - x(m). m + 24 Let i(u) = -3*u + 1. Let w(a) = -10*a + 3. Suppose 2*d = 2*c - 6, -d - 2*c = d + 22. What is d*i(f) + 2*w(f)? f - 1 Let v be (-3)/((-15)/(-2))*5. Let d(u) = -12*u + 33*u + 6*u**2 + 2 - 3*u**2 - 17*u. Let n(a) = -10*a**2 - 13*a - 7. Give v*n(y) - 7*d(y). -y**2 - 2*y Let d(w) = -5*w**2 - 36*w - 5. Let j(o) = -4*o**2 - 36*o - 4. Calculate 2*d(k) - 3*j(k). 2*k**2 + 36*k + 2 Let w(u) be the third derivative of -u**4/12 - u**3/2 + 27*u**2. Let p(x) = -2*x - 2. Let v(i) = -2*i**3 - i**2. Let f be v(1). Calculate f*p(h) + 2*w(h). 2*h Let c(n) = -3*n + 3. Let l(t) = -4*t + 4. Suppose -9 = 4*k + k - j, 2*k + 2*j + 6 = 0. What is k*l(u) + 3*c(u)? -u + 1 Let g(j) = 8*j**2 - 5. Let f(w) = 15*w**2 + w - 9. What is -3*f(o) + 5*g(o)? -5*o**2 - 3*o + 2 Let g(i) = -5*i**3 + 11*i**2 - 4*i - 2. Let p(x) = 11*x**3 - 22*x**2 + 9*x + 4. What is 9*g(d) + 4*p(d)? -d**3 + 11*d**2 - 2 Let x(s) = -s**3 + 2*s**2 - 3. Let h(p) = p**2 - 1. Suppose -2*i - 2*n = -14, -i + 5*n = 7*n - 12. Let d be (-4)/(-2)*1/(-2). Give d*x(r) + i*h(r). r**3 + 1 Let a(o) = -o - 1. Suppose -5*i - 33 = -8*i. Suppose i*n = 14*n - 3. Let t(c) = c**2 + c + 1. Give n*a(v) - t(v). -v**2 - 2*v - 2 Let d be 13/4 + (-4)/16. Let i be 0 + -8 + -1 + 1. Let x = 12 + i. Let g(a) = 6*a**2 + 4*a - 3. Let n(j) = -5*j**2 - 3*j + 2. Calculate d*g(u) + x*n(u). -2*u**2 - 1 Suppose 0 = -a - 4*y - 8 - 1, -2*a = 5*y + 9. Let l(t) = 0 + 4 - a*t**3 + 4*t + 3*t**2 + 5*t**3. Let j(w) = -6*w**3 - 8*w**2 - 11*w - 11. Give 3*j(u) + 8*l(u). -2*u**3 - u - 1 Let v(p) = -5*p**2 - 5*p + 1. Let k(w) = -11*w**2 - 11*w + 2. Let u = -16 + 7. What is u*v(r) + 4*k(r)? r**2 + r - 1 Let r(a) = 4*a**2 - 2. Suppose 0 = -x - 4*f - 15, 5*x - 4*x - 2*f + 3 = 0. Let b(y) = -6*y**2 + 3. Determine x*r(s) - 5*b(s). 2*s**2 - 1 Let q(g) = -g**2 + 4*g + 9. Let s be (-40)/75*-12 + (-4)/10. Let x(m) = m**2 - 5*m - 10. Determine s*x(z) + 7*q(z). -z**2 - 2*z + 3 Let m(s) = s + 1. Let v(o) = 12*o**2 + o + 2. Give -2*m(a) + 2*v(a). 24*a**2 + 2 Let l(a) = 5*a - 4. Let j(w) = -4*w + 3. Suppose -7*c = -5*n - 3*c - 26, 3*c = -3. Determine n*j(f) - 5*l(f). -f + 2 Let d(l) = 6*l**2 - 11*l + 5. Let m(q) be the first derivative of -2*q**3/3 + 2*q**2 - 2*q + 29. Calculate -3*d(y) - 8*m(y). -2*y**2 + y + 1 Let p(f) = -5*f**2 - f - 11. Let c(i) = -i**2. Calculate -4*c(q) + p(q). -q**2 - q - 11 Let r(m) be the first derivative of -23/3*m**3 - 17*m + 11 + 0*m**2. Let t(d) = -4*d**2 - 3. Let c(w) = -3*w - 3. Let b be c(-3). Give b*r(l) - 34*t(l). -2*l**2 Let w(j) = -28*j - 15. Let h(y) = 14*y + 8. Determine -11*h(n) - 6*w(n). 14*n + 2 Let r(s) = 4*s - 24. Let q = -11 - -8. Let l(g) = g - 5. Suppose 0 = 4*o - 28 - 28. Calculate o*l(n) + q*r(n). 2*n + 2 Let f(c) be the first derivative of 5*c**4/4 + 2*c**3/3 + c**2 - 2*c + 3. Let q(u) = 6*u**3 + 3*u**2 + 3*u - 3. Calculate -3*f(v) + 2*q(v). -3*v**3 Let z(v) = -10*v**2 - 10*v + 10. Let l(b) = -b**3 - b**2 - b + 1. Give 10*l(i) - z(i). -10*i**3 Let i(r) be the second derivative of 2*r**4/3 + r. Let z(b) be the first derivative of b**3/3 - 6. Suppose 0*n - 2*n - 2 = 0. What is n*i(t) + 6*z(t)? -2*t**2 Let m(q) = 1. Let y(f) = -8*f - 24. Calculate 24*m(d) + y(d). -8*d Let l(i) = 3*i**2 + 6*i - 1. Let s(y) = 10*y**2 + 35*y - 4. Let q(w) = -5*w**2 - 17*w + 2. Let k(f) = 13*q(f) + 6*s(f). Give 4*k(z) + 7*l(z). z**2 - 2*z + 1 Let q(u) = -u**2 + 10*u - 3. Let x(i) = 3*i**2 - 20*i + 7. Give 7*q(r) + 3*x(r). 2*r**2 + 10*r Let t(g) be the third derivative of g**4/12 - 5*g**2. Let s(f) = 4*f - 1. Determine 2*s(q) - 5*t(q). -2*q - 2 Let z(t) = t - 4. Let i(b) = 5*b - 23. What is 6*i(f) - 34*z(f)? -4*f - 2 Let c(d) = 7*d**3 - 5*d**2 + d. Let p = 52 + -47. Let n(h) = -3*h**3 + 2*h**2. Calculate p*n(f) + 2*c(f). -f**3 + 2*f Suppose -5*k + 15 + 9 = 4*t, -t + 6 = 4*k. Let p(h) = -7*h**3 - 6*h**2 + 6*h - 6. Let a(c) = -20*c**3 - 17*c**2 + 17*c - 17. Determine t*a(j) - 17*p(j). -j**3 Let r be 68/18 + (-8)/(-36). Let w(m) = r + 8 + 1 + 6*m + 5*m - 2*m**2. Let y(l) = l**2 - 5*l - 6. Calculate 6*w(i) + 13*y(i). i**2 + i Let u(z) = -5*z**2 + 4*z + 4. Let q(s) = 4*s**2 - 3*s - 3. Let y = 3 - 6. Determine y*u(k) - 4*q(k). -k**2 Suppose -2*o + 3*o + 8 = h, 0 = -3*h - 5*o - 16. Let q(w) = -4*w**3 + 3*w**2 + 4*w + 2. Let g(z) = 3*z**3 - 2*z**2 - 3*z - 1. Determine h*g(m) + 2*q(m). m**3 - m + 1 Let c(m) = m. Let w(g) be the second derivative of 4*g**3 + 17*g**2/2 - 3*g. Let f(o) = 8*o + 6. Let k(j) = 11*f(j) - 4*w(j). Calculate 6*c(p) + k(p). -2*p - 2 Let p(t) = 13*t - 2. Let w(k) = 4*k - 1. Let d(h) = -h**3 + 14*h**2 - 13*h - 2. Let x be d(13). Calculate x*p(g) + 7*w(g). 2*g - 3 Let a(b) = -4*b**3 + 7*b + 3. Let u(m) = -4*m**3 + 6*m + 3. What is -6*a(y) + 7*u(y)? -4*y**3 + 3 Let x(f) = 26*f**3 - 10*f**2 - 10. Let j(l) = 5*l**3 - 2*l**2 - 2. Suppose -3*o - 95 = 2*o - 3*q, 4*o - 4*q + 84 = 0. Give o*j(d) + 3*x(d). -2*d**3 + 2*d**2 + 2 Let o(v) = -v + 3. Let g(i) = 2*i - 6. Calculate -6*g(b) - 13*o(b). b - 3 Let v(r) = 13*r - 1. Let b(p) = 27*p - 2. Give -3*b(o) + 7*v(o). 10*o - 1 Suppose 4*u + 32 = -j, 12*j = -5*u + 7*j - 40. Let k = 4 + -7. Let h(t) = -2*t. Let r(w) = w. Calculate k*h(v) + u*r(v). -2*v Let b(y) = -y**2 - y + 1. Suppose 5*g = 2*m - 5, -3*g - 12 = -3*m - 0*m. Let k(o) = -6*o**2 - 5*o + 5. Determine g*k(f) - 5*b(f). -f**2 Let a(j) be the first derivative of -9*j**2/2 + 15*j + 12. Suppose 5*d - 17 = 3*v - v, -4 = v + 2*d. Let t(z) = 4*z - 7. Give v*a(k) - 13*t(k). 2*k + 1 Let f(b) = 11*b**2 + 4*b - 4. Let j(h) = -h + 1. What is -f(a) - 4*j(a)? -11*a**2 Let k(o) = 3*o**3 - 5*o**2 + 5*o - 7. Let c(v) = v**3 - 2*v**2 + 2*v - 3. What is -5*c(h) + 2*k(h)? h**3 + 1 Let b(o) be th
{ "pile_set_name": "DM Mathematics" }
Evaluate ((108/45)/(-6))/((-26)/(-10)). -2/13 What is the value of (775/(-62))/(-5*1/4)? 10 What is the value of 7/7*112/16? 7 Calculate (-10)/4*(-144)/120. 3 What is the value of (-2)/((-4)/1)*30/35? 3/7 Calculate (-18)/27*18/(-4). 3 What is 5*1*126/(-90)? -7 What is (6/(-8))/((-2)/(-8))? -3 Calculate (8/(-20))/(72/(-40)). 2/9 What is the value of 1*(2/16)/(33/(-132))? -1/2 What is the value of (3/(-15))/(2*(-3)/(-20))? -2/3 Calculate (-55)/22*12/(-5). 6 Calculate ((-6)/(3/(-3)))/7. 6/7 Evaluate ((-26)/130)/(14/(-10)). 1/7 Calculate (6/(-8))/((-35)/(-420)). -9 Evaluate 10*1*21/42. 5 Evaluate 2/(11/((-55)/(-10))). 1 What is the value of ((-2)/((36/8)/9))/(-1)? 4 What is -3*-4*56/(-96)? -7 Evaluate (-2)/1*270/60. -9 (4/2*(-5)/(-10))/1 1 What is ((-2)/2*2)/2? -1 ((-10)/(-55))/(-1)*(-6)/6 2/11 ((-30)/(-35))/(2*4/28) 3 What is ((-30)/45)/((-2)/15)? 5 What is the value of (8/14)/(22/77)? 2 What is the value of (6/(-150))/((-9)/(-30))? -2/15 What is the value of -4*(-12)/24*(-2)/(-7)? 4/7 What is the value of (-4*(-6)/16)/(90/(-24))? -2/5 What is the value of (4/5)/(2/(-200)*8)? -10 Calculate (-1)/(-2)*1/(-2)*4. -1 What is the value of 2*(-2)/14*42/(-21)? 4/7 What is ((-6)/5)/((-8)/(240/81))? 4/9 Calculate (1/(-5))/(101/3535). -7 What is (5/((-10)/(-6)))/(3/3)? 3 What is 9/81*-3*-15? 5 What is the value of ((-3)/3*1)/(3/(-12))? 4 5*2/15*(-12)/4 -2 What is 4/132*209/38? 1/6 What is 728/156*(-36)/(-21)? 8 What is ((-112)/224)/(2*1)? -1/4 What is the value of (-180)/15*(-1)/2? 6 What is the value of 2/(-12)*(-16)/(-2)? -4/3 What is (30/24)/((-15)/18)? -3/2 Evaluate -1*((-6)/(-6))/(2/(-8)). 4 Evaluate (-1)/((75/20)/15). -4 Calculate ((-112)/(-672))/((-10)/(-12)). 1/5 Calculate 3/(((-4)/16)/1*-6). 2 Calculate ((-2)/2)/((-7)/(-14)). -2 Calculate ((-7)/168*10)/(2/4). -5/6 What is -8*3*2/12? -4 What is (-15)/(-18)*220/(-275)? -2/3 Calculate (2/4)/(2/(-4)*2). -1/2 What is (-4)/(-6)*(-18)/(-4)? 3 Evaluate (-4)/(8/4)*9/6. -3 288/468*(-1)/(-4) 2/13 What is (-34)/(-51)*(-1)/((-1)/(-3))? -2 Evaluate 3/9*-3*3. -3 Calculate (-9)/12*(-15)/((-1350)/(-96)). 4/5 What is the value of (((-36)/(-15))/(-3))/((-462)/55)? 2/21 What is (-1)/(10/(-180)*6)? 3 Calculate (5/((-50)/8))/((-84)/70). 2/3 What is (0/(-2))/((-63)/9)? 0 What is (3/15)/(1/(20/(-32)))? -1/8 What is (1/21)/(6*11/(-198))? -1/7 What is (-21)/((-567)/36)*-1*3? -4 What is the value of (10/(-56))/((30/40)/3)? -5/7 Calculate (35/20)/7*10/5. 1/2 (-1)/(-5)*30/(-24) -1/4 Evaluate 10*6/(-120)*-10. 5 What is ((-4)/10)/(20/(-600)*66)? 2/11 Calculate 1/(-12)*(-272)/51. 4/9 Evaluate (-3)/(-72)*0*(-2)/4. 0 Calculate ((-14)/112)/(-1*(-20)/(-16)). 1/10 Evaluate 10*(-6)/(-15)*35/28. 5 Calculate (-40)/16*2/25. -1/5 What is (56/(-42))/((-2)/3*3)? 2/3 What is (-2)/18*((-24)/(-3))/(-4)? 2/9 Evaluate (-2*2/28)/((-5)/(-10)). -2/7 What is the value of ((-9)/(-12))/((-1)/4)? -3 Evaluate (((-3)/(-3))/3)/((-4)/(-36)). 3 Calculate (-45)/6*4/(-70). 3/7 What is the value of -1*2/(-4)*8? 4 What is the value of (-21)/30*1*(-8)/14? 2/5 Evaluate 36/(-9)*(-2)/(-12). -2/3 What is the value of (2/22*4)/(2/11)? 2 Evaluate 18/4*5/((-90)/(-24)). 6 What is 8/6*25/((-5200)/(-39))? 1/4 (((-15)/4)/(-5))/((-6)/24) -3 ((-7)/385*11)/((-2)/6) 3/5 Calculate 630/490*21/9. 3 Evaluate 3/(-6)*8/20. -1/5 Calculate 2/((-20)/(-6))*20/(-8). -3/2 Evaluate ((385/(-66))/35)/(2/(-2)). 1/6 Calculate ((-2)/(-3))/((-8)/((-288)/(-6))). -4 What is the value of (1/6)/((-25)/(-1050))? 7 Evaluate ((-192)/(-4))/8*4/6. 4 What is the value of (-6*(-1)/66)/((-1)/(-2))? 2/11 Calculate ((-28)/100)/(-12*(-1)/60). -7/5 What is (-3)/(-20)*(-1)/(2/(-4))? 3/10 (-90)/45*-3*1 6 Evaluate (-1*1/(-2))/(1/(-2)). -1 What is (1/(-10))/((-7)/(-84)*-6)? 1/5 Calculate ((-3)/(-6))/(6/(216/(-12))). -3/2 Evaluate (-5)/5*5/(30/(-8)). 4/3 What is 21/(-7)*(-2)/(-3)? -2 ((-50)/125)/((-1)/(-10)*-2) 2 ((-16)/(-20))/(-1*2/5) -2 Evaluate ((-200)/(-10))/(-2*8/(-4)). 5 What is the value of (-1)/(-6)*-1*(-132)/22? 1 What is ((-8)/(128/12))/(6/(-16))? 2 Calculate (((-891)/(-45))/(-11))/((-9)/(-30)). -6 What is the value of (-6)/5*(-30)/(-9)? -4 Calculate (((-30)/(-9))/(-5))/((-75)/(-45)). -2/5 (-1)/(-2)*-15*6/(-15) 3 What is ((-1)/1)/(15/3)? -1/5 Evaluate (-23)/46*(40/(-2))/(-2). -5 What is (-48)/(-4)*(-2)/(-4)? 6 Calculate (-10)/(-30)*3*-4. -4 What is the value of ((-2)/(-12))/((-7)/(-21))? 1/2 What is the value of (12/72)/(1/18)? 3 Evaluate ((-3)/54)/((-38)/228). 1/3 What is ((-15)/10)/((2/1)/2)? -3/2 What is the value of (((-12)/(-4))/((-9)/6))/4? -1/2 What is the value of ((-4)/(48/(-4)))/((-2)/1)? -1/6 What is the value of 84/42*((-9)/(-3))/(-9)? -2/3 What is (1/(-3))/(-1*(-8)/216)? -9 What is 2*(-6)/8*(-4)/3? 2 What is the value of 24/16*(-4)/(-3)? 2 What is the value of 1/(3/(-12)*1)? -4 What is the value of ((-6)/12)/(11/(-22))? 1 (4*2/20)/(44/(-660)) -6 (5/60*5)/(35/63) 3/4 (-8)/(-52)*13*10/(-4) -5 Evaluate ((40/(-12))/(-5))/(62/279). 3 (1/((-4)/(-3)))/(297/72) 2/11 What is the value of (120/25)/((-33)/(-55))? 8 176/(-242)*2/8 -2/11 What is (6/(-5))/(70/175)? -3 What is 45/9*1/(-4)? -5/4 (6/60*4)/((-7)/5) -2/7 Calculate (4/(-20))/(4/((-60)/3)). 1 What is (8/60*-3)/(6/60)? -4 Evaluate 1/(((-6)/3)/(-10)). 5 Calculate ((-2)/(-13))/(37/37). 2/13 -5*4/12*1/5 -1/3 What is the value of (1/3)/(-7*(-3)/42)? 2/3 Evaluate 14/(-35)*(-5)/(-13). -2/13 What is ((-7)/4)/(6/(120/5))? -7 What is the value of -6*(-3)/(-108)*2? -1/3 Calculate ((-4)/14)/(-2)*-1*-2. 2/7 What is the value of 9/(-6)*16/(-6)? 4 What is the value of (4/10)/((910/25)/14)? 2/13 Calculate (10/(-15))/(8/(-24)). 2 (-3)/(-5)*5/(75/10) 2/5 (-4)/2*-1*2 4 Calculate (4*12/32)/(3/4). 2 What is ((-15)/10)/(-3)*-2? -1 What is the value of (-8)/(-2)*(-12)/120? -2/5 Calculate (0/2)/(3/(-3)). 0 (((-1)/1)/12)/((-44)/66) 1/8 Calculate ((-24)/(-18))/((-28)/21). -1 (-10)/6*234/65 -6 Calculate (-8*9/36)/(3*1). -2/3 Calculate (3*3/(-3))/(1/2). -6 Calculate 138/(-230)*10/36. -1/6 Evaluate 1*(1/(-3))/((-13)/(-117)). -3 What is (-1)/(-2)*8/3? 4/3 ((-6)/56)/((-86)/(-344)) -3/7 Calculate ((-2)/(-3))/((-13)/((-143)/(-11))). -2/3 What is 16/(-30)*45/300? -2/25 ((-2)/8)/(19/19) -1/4 Calculate 19/380*(-3)/((-9)/6). 1/10 48/12*1/(-2) -2 Calculate 12/(-90)*-5*-3. -2 What is 16/(8/2)*2? 8 What is (-6)/(-9)*(-4)/16? -1/6 (6*(22/(-4))/11)/(-21) 1/7 What is the value of 12/14*(-1092)/(-1170)? 4/5 Calculate ((-42)/(-35))/(4/((-120)/9)). -4 Evaluate 5/(210/12)*-7. -2 (0/((-2)/2))/(45/45) 0 Calculate (1/20)/((-7)/(-56)). 2/5 (-21)/91*130/(-40) 3/4 Evaluate ((-2)/10*(-42)/(-14))/(-1). 3/5 Evaluate 1/5*(-4)/(64/20). -1/4 Evaluate (((-140)/175)/(2/(-20)))/2. 4 Calculate 2/(5/(5/(-4)))*2. -1 Evaluate 2/(-6*(-4)/(-8))*6. -4 4/(-6)*(-48)/(-8) -4 Calculate (-122)/(-2379)*(-3)/(-2)*2. 2/13 What is ((-8)/4)/(1*-1*5)? 2/5 What is the value of (-6)/68*10/(-105)*-14? -2/17 What is 24/30*(-15)/(-24)? 1/2 (1/3)/(-2*39/(-52)) 2/9 Calculate 9/6*(-6)/45. -1/5 Calculate -10*34/170*4/(-2). 4 What is ((-8)/(-24))/((-1)/3)? -1 What is the value of (-2)/(2/(-3)*12)*0? 0 Calculate (6/45)/(((-448)/40)/8). -2/21 Calculate ((-747)/(-415))/(((-6)/(-20))/(-1)). -6 ((-31)/124)/(5/(-20)*-3) -1/3 What is the value of 1/(6/(-15))*(-24)/15? 4 1080/270*2/2 4 What is (4/(-6))/((-12)/(-90))? -5 What is ((-20)/(-12)*(-10)/(-75))/2? 1/9 -2*(4/(-1))/2 4 What is the value of (51/102)/(-1*2/4)? -1 What is (6/(-98))/((-546)/637)? 1/14 What is the value of (-14)/(-21)*-3*5/2? -5 Calculate (-4)/(-352)*-4*4. -2/11 -5*4/(-24)*-3*-2 5 1/(-9)*(286/(-33))/13 2/27 -2*9/30*1 -3/5 What is the value of (3*(-6)/(-27))/(24/27)? 3/4 What is 9/15*4*5/2? 6 ((-4)/(-35))/(24/196*7) 2/15 Evaluate ((-28)/35)/(9/(135/2)). -6 What is ((15/(-9))/(-5))/((-5)/(-45))? 3 (-1)/3*-1*3*4 4 Calculate 2/(-6)*(-3)/(-2)*8. -4 Calculate 6/(-20)*6/15*-5. 3/5 1/(-1*(-5)/(-40)) -8 (-4)/((-16)/(-4))*-1 1 Evaluate ((-18)/(-9))/(2/2). 2 ((-52)/(-39))/((-4)/6) -2 Calculate (-45)/(15/5)*(-2)/(-6). -5 What is the value of ((-32)/(-16))/((5/(-2))/5)? -4 What is (((-585)/(-18))/(-13))/((-1)/2)? 5 (-15*10/(-180))/(2/12) 5 Evaluate ((-6)/4)/((-42)/112). 4 What is (-8)/(-48)*-3*-10? 5 (30/18)/(-2*(-1)/6) 5 What is ((-42)/(-49))/((-3)/(63/(-12)))? 3/2 ((-10)/20)/((-2)/(-16)*1) -4 (811/(-4055))/(-3*4/(-10)) -1/6 What is (-20)/(-20)*(-4)/114*3? -2/19 What is 200/30*2/(-
{ "pile_set_name": "DM Mathematics" }
010011 152303 (base 13) to base 8 1765532 What is 342450115 (base 6) in base 15? 843875 Convert -112c09 (base 13) to base 4. -1203030031 Convert -984a79 (base 13) to base 4. -31222030133 Convert 45958 (base 15) to base 7. 1611503 21542413 (base 7) to base 13 501376 What is ac6c64 (base 14) in base 2? 10110010110001101011000 Convert 1488504 (base 10) to base 5. 340113004 1aba602 (base 12) to base 10 5720546 -30322260 (base 7) to base 5 -1121323203 Convert 4047f (base 16) to base 9. 441150 Convert -4a458 (base 11) to base 9. -120307 Convert 11101000010111100 (base 2) to base 12. 58a24 -300411232 (base 5) to base 16 -1215a8 What is 141387 (base 10) in base 8? 424113 Convert -132102103 (base 4) to base 9. -208144 Convert -134112 (base 5) to base 11. -417a -74565 (base 14) to base 4 -1010211331 What is -111562 (base 11) in base 13? -62b5c -b42b9 (base 15) to base 7 -4565502 What is 54033522 (base 6) in base 12? 6488a2 What is -54494 (base 14) in base 16? -31cc2 What is -11214005 (base 6) in base 13? -c0944 -22c8d5 (base 14) to base 12 -493023 Convert -26539d (base 16) to base 11. -1466150 What is -22300101 (base 4) in base 7? -242265 What is 3004b9 (base 13) in base 15? 17043c 4a836 (base 16) to base 15 60671 Convert -12344432 (base 7) to base 9. -2086872 15410564 (base 7) to base 15 1e4058 -1473266 (base 8) to base 12 -185186 What is -74ed3 (base 15) in base 6? -11542343 Convert -328004 (base 9) to base 16. -2fe09 3333132123 (base 4) to base 14 1d34cb -4a601 (base 13) to base 4 -201200031 What is 653011 (base 9) in base 15? 7a531 27757456 (base 8) to base 16 5fdf2e Convert -744a8 (base 12) to base 16. -254c0 1ccad (base 16) to base 2 11100110010101101 -10313200221 (base 4) to base 3 -2101211021020 29228 (base 13) to base 5 4433032 Convert -312d29 (base 15) to base 13. -63b50b 1616150 (base 9) to base 14 194b6c Convert -8317 (base 14) to base 2. -101100000100001 Convert 1121110202 (base 3) to base 4. 13233023 Convert -191514 (base 12) to base 3. -211020201021 83019 (base 13) to base 7 1666266 What is 40510043 (base 6) in base 14? 222a15 Convert -6668a30 (base 11) to base 3. -211000012002022 What is 23131120120 (base 4) in base 15? 3e50bd Convert -15604413 (base 7) to base 12. -610340 28549a6 (base 11) to base 15 6702c9 Convert -3a28867 (base 12) to base 8. -53702317 What is -2637137 (base 8) in base 12? -2b6513 -2540330 (base 6) to base 2 -100001100100011110 What is 537313 (base 9) in base 7? 2502531 951432 (base 14) to base 8 23154044 Convert -254252 (base 6) to base 7. -124025 What is -11000110010010 (base 2) in base 7? -51666 What is -12121020101122 (base 3) in base 14? -576ba2 What is 147631 (base 12) in base 3? 122111221101 What is -40822 (base 12) in base 5? -10142442 423a40 (base 11) to base 10 678733 What is 102211121 (base 4) in base 7? 434633 2235100 (base 7) to base 16 43d77 What is 196512 (base 11) in base 5? 34121144 Convert 110000101110110011111 (base 2) to base 16. 185d9f Convert -30531423 (base 6) to base 4. -3113210013 What is -56382 (base 10) in base 16? -dc3e 5342052 (base 6) to base 4 1000001300 4121a (base 13) to base 7 664350 What is 2517746 (base 8) in base 3? 1022101010200 -123532 (base 6) to base 2 -10101111010000 b45415 (base 12) to base 16 2b2c11 1329379 (base 10) to base 2 101000100100011100011 1011011110101001110 (base 2) to base 14 9b114 What is 2311444 (base 5) in base 8? 121033 What is -1122002333 (base 4) in base 10? -368831 22e3c3 (base 16) to base 5 1041132111 What is -12e464 (base 16) in base 7? -13344445 260365 (base 11) to base 8 1441416 1873553 (base 10) to base 5 434423203 What is -45203011 (base 6) in base 14? -278dc3 -877084 (base 9) to base 2 -1111111110011101010 What is -32233201 (base 4) in base 13? -21640 What is -6634b (base 13) in base 14? -4b66a Convert 3352711 (base 9) to base 16. 1b8fe6 Convert b255b (base 13) to base 3. 121020020211 What is -12343024104 (base 5) in base 11? -8645740 Convert -17765527 (base 8) to base 16. -3feb57 Convert 9152e (base 16) to base 8. 2212456 245415221 (base 6) to base 15 63b281 -802545 (base 12) to base 15 -296125 Convert 10440000 (base 5) to base 9. 151662 -33893 (base 10) to base 13 -12572 What is 50025115 (base 7) in base 14? 795045 What is -60255106 (base 7) in base 12? -1806b47 67950 (base 12) to base 3 21000010020 Convert 3114411421 (base 5) to base 3. 110001100121200 Convert 169aa (base 12) to base 13. 11a64 Convert -863101 (base 9) to base 15. -a2487 -3784917 (base 10) to base 14 -7074b3 Convert cd4cc (base 14) to base 11. 30a96a -9c621 (base 13) to base 16 -45726 Convert 601210 (base 14) to base 12. 10b9326 Convert 146264 (base 9) to base 13. 31bb5 Convert -579780 (base 13) to base 14. -3c1136 Convert -333333113 (base 4) to base 9. -438475 What is 31033300212 (base 4) in base 6? 202232010 -35b63 (base 12) to base 7 -421251 111534 (base 7) to base 8 46555 What is -3086273 (base 9) in base 5? -410321123 What is 535007 (base 8) in base 4? 223220013 -3d6525 (base 14) to base 4 -20020012311 What is -7519042 (base 11) in base 10? -13232848 What is 200111033312 (base 4) in base 8? 40251766 What is 4051015 (base 6) in base 4? 233030303 Convert -2100057 (base 9) to base 2. -100010001111010111111 Convert 11120221201 (base 3) to base 14. 24d05 Convert -27abc0d (base 14) to base 3. -1100012112001221 What is -135145041 (base 6) in base 4? -22203132301 -2552a (base 11) to base 15 -ac84 Convert -358972 (base 16) to base 10. -3508594 1221211002100 (base 3) to base 8 3756401 Convert 130527 (base 12) to base 7. 2436004 What is -87857 (base 12) in base 10? -179203 What is 582ac (base 13) in base 15? 329e1 -101010100000000011 (base 2) to base 9 -284715 What is 177593 (base 12) in base 14? a8411 Convert -66486e (base 16) to base 9. -13546065 819439 (base 11) to base 16 1412e2 What is 3410155 (base 6) in base 15? 3615e 3c580 (base 13) to base 14 2d272 What is 35626 (base 16) in base 6? 4404154 Convert -91723 (base 13) to base 2. -111111100101101010 What is -10111101101110110 (base 2) in base 4? -113231312 What is -100001100101010001100 (base 2) in base 10? -1100428 -9c4a7 (base 14) to base 15 -7771d 7618059 (base 10) to base 6 431140443 -13355 (base 11) to base 16 -4a71 28dc5 (base 16) to base 4 220313011 71b06 (base 16) to base 7 3646432 What is 312220233 (base 4) in base 10? 223791 What is 11a738 (base 13) in base 9? 714280 -1706859 (base 10) to base 13 -479b9b Convert -33503005 (base 7) to base 12. -b832b1 Convert 3a907 (base 11) to base 6. 1130013 What is 262330b (base 12) in base 5? 3410341214 What is -3004a2 (base 12) in base 10? -747194 Convert -211120102000101 (base 3) to base 9. -24512011 63239 (base 12) to base 4 133232031 Convert 33db0 (base 15) to base 7. 1255212 16b287 (base 13) to base 12 23434b Convert -176236 (base 8) to base 6. -1215222 22252135 (base 8) to base 11 2792681 Convert -12211121220 (base 3) to base 4. -130003131 9b5c51 (base 13) to base 16 37fb97 -665563 (base 7) to base 11 -80104 What is -177214 (base 10) in base 14? -48822 1322212231 (base 4) to base 7 4161052 102416316 (base 7) to base 6 334050510 Convert 2aa38 (base 12) to base 11. 41290 What is 146016 (base 14) in base 10? 707972 Convert -3a514 (base 11) to base 8. -160775 -5410673 (base 9) to base 13 -7a72a6 132114132 (base 5) to base 3 1020120002112 What is 20013223032 (base 4) in base 5? 1021103330 Convert -79666 (base 11) to base 15. -24244 What is -8c3883 (base 14) in base 2? -10010001101011001111011 Convert 50435334 (base 6) to base 12. 592b4a What is -819aa (base 12) in base 16? -29452 Convert -103868 (base 15) to base 7. -6361655 What is -77a00c (base 13) in base 9? -5268560 396dc (base 14) to base 10 141314 -281111 (base 10) to base 8 -1045027 What is -127961 (base 12) in base 2? -1001010001010011001 What is -12134414 (base 6) in base 2? -1011110001110001010 2342200121 (base 5) to base 14 a1429b What is 277150 (base 8) in base 4? 113321220 12024634 (base 7) to base 16 104176 -204256 (base 14) to base 9 -2036180 What is 6744433 (base 8) in base 5? 431232310 -15873 (base 9) to base 16 -2aa8 What is -a21d (base 16) in base 4? -22020131 Convert 103236 (base 9) to base 10. 61431 Convert 1a34b (base 14) to base 15. 14a91 -203245 (base 7) to base 6 -424554 Convert -401643 (base 8) to base 1
{ "pile_set_name": "DM Mathematics" }
Suppose 0*p - 3*p = -21. Let i(u) = 2*u**2 - 6*u - 8. Let m be i(p). Calculate the greatest common factor of m and 32. 16 Suppose -2 = o + 5*r - 1, 0 = 5*r + 5. Suppose -l - 6 = o*w, 2*w + 5*l = -3*w. Let v be 2*(1 + w) - -5. What is the highest common factor of v and 12? 3 Let v(m) = m**2 - 15*m + 3. Let o(l) = -l**2 + 7*l - 1. Let h(s) = -9*o(s) - 4*v(s). Let x be h(3). What is the greatest common factor of x and 3? 3 Suppose -3*j + 233 = 2*u, 0 = 3*u - 4*u + j + 129. What is the highest common factor of u and 31? 31 Suppose 4*t = -t + 130. Calculate the greatest common divisor of 208 and t. 26 Let i be (-2 - -3)*(4 + -1). Let b be (-195)/12*(-12)/i. Calculate the highest common divisor of 26 and b. 13 Let i be ((-6)/(-8))/((-2)/(-1888)). Let b be 2/5 - i/(-30). Suppose 3*v = 5*s + 61, -2*s - 85 = -5*v + 3*s. What is the highest common divisor of v and b? 12 Let w be 37/7 + 6/(-21). Suppose u - 3 = 2*f + 3, -w*u - 4*f = 12. Let n be ((-9)/(-12) + u)*4. What is the highest common divisor of 24 and n? 3 Let k(t) = -3*t + 1. Let b be k(-6). Calculate the highest common factor of b and 171. 19 Let c(q) = q**2 + 8*q + 5. Let h = 23 + -32. Let k be 70/h - (-8)/(-36). Let a be c(k). Calculate the highest common divisor of 15 and a. 5 Let h = 36 - 21. What is the greatest common divisor of 60 and h? 15 Suppose -22 - 158 = -5*p. Let c be 6/15 + 108/5. Suppose -2*t + c = 3*v, -2*t + 6*t + p = 2*v. Calculate the greatest common divisor of v and 2. 2 Let w be (4 - 1)*165/9. Let x = 52 + -30. What is the highest common factor of x and w? 11 Suppose -p + 3 + 7 = 0. Suppose -310 = -4*k - 5*v, -9 + 7 = v. Calculate the greatest common divisor of k and p. 10 Suppose 0 = 3*t - 0*t - 60. Suppose 22*q + 46 - 156 = 0. What is the greatest common factor of q and t? 5 Let u be -1 - (-4 + 3)*15. Let n = u + -8. Suppose 4*h = 71 + 121. Calculate the greatest common divisor of h and n. 6 Let y = -3 + 8. Calculate the highest common factor of 10 and y. 5 Suppose t = -0*w + 3*w - 118, -t - 158 = -4*w. What is the highest common factor of w and 5? 5 Let y be -8*(1 + 20/(-8)). What is the highest common factor of y and 48? 12 Let o(s) = s**3 + 7*s**2 - 9*s - 5. Let n be o(-8). Suppose 13 = n*c - 23. Let a be (-4)/10 - 84/(-10). What is the greatest common divisor of c and a? 4 Let y(x) = x**3 - 14*x**2 - 15*x + 21. Let p be y(15). Calculate the highest common divisor of p and 14. 7 Let t be (1/3)/(4/36). Let m(x) = 3 - x**t - x**2 + x + 4*x**2 + x + 2*x. Let y be m(-2). Calculate the highest common factor of y and 5. 5 Suppose 2*t - 5 = 5. Suppose -9*v = -t*v - 704. Calculate the greatest common divisor of v and 16. 16 Let j(u) = u**2 - 6*u + 7. Let v = 1 + 5. Let r be j(v). Suppose -4*l - 63 = -r*l. What is the greatest common factor of l and 147? 21 Let w = -45 - -87. Suppose 0*n + n - 2 = 0. Suppose -4*v = -2*z - 14, -n*z + 49 - 9 = 5*v. What is the highest common factor of w and v? 6 Let d be (1 + 7)/(9 + -7). Suppose 0 = 2*f + 2 - d. Calculate the greatest common factor of 2 and f. 1 Let a = -12 - -18. Let v be (a/(-2))/(8 - 11). Calculate the greatest common divisor of v and 11. 1 Let y be ((-1 - -2) + 0)*11. Let j be (-44)/12*-1*15. What is the greatest common divisor of y and j? 11 Suppose 5*z - 177 = -2*u + 161, 5*u + 141 = 2*z. What is the highest common factor of 17 and z? 17 Let s = 21 - 15. Suppose 11*z - 35 = s*z. What is the highest common factor of z and 7? 7 Suppose -2*m + 3 + 15 = 0. What is the highest common divisor of m and 27? 9 Suppose -3 = n + 2. Let y be (-1 + 0)*(n - 3). Let p = 0 + 1. Calculate the highest common divisor of p and y. 1 Suppose 0 = -5*v + 44 + 11. Suppose 3*t - 58 - 74 = 0. What is the highest common factor of v and t? 11 Let y = -22 + 26. Calculate the highest common factor of y and 10. 2 Let d = -22 + -59. Let b = 23 - d. Suppose b = 5*a - 76. Calculate the highest common divisor of a and 12. 12 Let x(g) = 6*g + 2. Let c be x(5). What is the greatest common divisor of 288 and c? 32 Let u be 270/36 + (-3)/18*-3. Let v(f) = -f + 1. Let h be v(1). Let z be h + 2 - (-8 + 2). What is the greatest common factor of z and u? 8 Suppose -4*q + 576 = -2*i, 0 = 2*q - q + 2*i - 144. Calculate the highest common factor of 18 and q. 18 Let t be (-6)/(-9) - (-3)/9. Suppose 0 = -q + 1 + t. Let o be (-3)/q*56/(-6). Calculate the greatest common divisor of 7 and o. 7 Let q(h) = -h**3 - h**2 - 2. Let i be q(-3). Suppose 2 = -k + i. What is the greatest common factor of k and 126? 14 Let z = 77 + 99. Let k(q) = q + 3. Let m(h) = h**2 + 3*h + 10. Let d(u) = -8*k(u) + 3*m(u). Let y be d(-2). Calculate the greatest common divisor of y and z. 16 Let r be (3/2)/(6/8). Calculate the greatest common factor of r and 10. 2 Suppose 3*i = 8*i - 440. What is the highest common divisor of 11 and i? 11 Let t be 1/2*(-3 - -11). Suppose -2*g + t*f + 216 - 76 = 0, -2*g + 147 = 3*f. Calculate the greatest common factor of 48 and g. 24 Suppose 0 = -4*d - 27 - 1. Let z = d + 8. Calculate the greatest common factor of z and 5. 1 Suppose -i + 20 = 4*i. Suppose 2*l - 706 = i*l. Let g = -199 - l. What is the highest common divisor of g and 14? 14 Suppose -12 = -o + 2*v + 2*v, -4*o - 5*v = -111. Suppose 0 = -5*d + d + o. Let i(q) = -50*q - 2. Let n be i(-1). Calculate the highest common factor of n and d. 6 Let h(p) = p**2 + 5*p - 5. Let k be h(-7). Let c = 11 - 2. What is the highest common factor of c and k? 9 Let o be (-1 - 1)/(2/(-32)). Let v be (o/10)/(10/50). Calculate the greatest common divisor of v and 4. 4 Let a(z) = -z + 8. Let t be a(8). Suppose 2 = r - t*r. Calculate the greatest common factor of r and 5. 1 Let t(g) = 23*g - 32. Let m be t(21). Calculate the highest common factor of 41 and m. 41 Let u(h) = h + 12. Let l be u(14). Calculate the greatest common factor of 39 and l. 13 Suppose -q - 60 = -5*m, -4*m - m - 5*q = -30. Let d(o) = -o**3 + 8*o**2 - 7*o + 3. Let a be d(6). What is the greatest common factor of m and a? 11 Suppose 6*s = 4 + 8. Suppose 0 = s*c - 4*c + 12. Calculate the greatest common factor of c and 42. 6 Let z(i) = -i - 4. Let n be z(-4). Suppose p + 7 - 17 = n. Let h = 86 + -46. What is the greatest common divisor of p and h? 10 Let k = 9 + -6. Suppose -q - 2*q + 69 = -2*l, -l = 3. Calculate the greatest common factor of q and k. 3 Let s = -126 + 133. What is the highest common divisor of s and 21? 7 Let k be 1158/90 + (-5)/(150/(-4)). Calculate the highest common divisor of 65 and k. 13 Let o = 147 - -98. Suppose 4*n + n = o. What is the greatest common factor of n and 7? 7 Suppose -5*z - 5*c = -50, -z - 4*z = c - 58. Calculate the greatest common divisor of z and 288. 12 Suppose -3 = -2*j + 3. Calculate the greatest common factor of 24 and j. 3 Suppose -8*b + 3*b = -5*r + 40, -5*r + 46 = -3*b. Let s(h) = 2*h**2 - h + 1. Let c be s(-2). Calculate the greatest common divisor of r and c. 11 Let c be (-7)/(7/(-4)) + 86. What is the greatest common factor of c and 9? 9 Let s be 12/(-10)*(-1 - -6). Suppose 0 = 3*i + 2*i + 20. Let v = i - s. What is the highest common divisor of 14 and v? 2 Suppose 0 = 5*w + 25 - 85. What is the greatest common divisor of 24 and w? 12 Suppose 2*f + 5*q - 95 = 0, -2*q = -3*f + 3*q + 155. Let t be 5/((-5)/(-2))*10. What is the greatest common factor of f and t? 10 Suppose -2*a + 2*t = -6, 11 = a - 4*t - 4. Let c = a + 3. Let k be (c + (-18)/(-2))/1. Calculate the highest common divisor of k and 77. 11 Let b = 20 - -70. Calculate the highest common factor of 10 and b. 10 Let b(r) = 6*r**3 - 3*r**2 + 3*r - 1. Let c be b(1). Suppose 5*o - 20 = 3*o. Let d be (12/o)/3*25. What is the highest common factor of c and d? 5 Let o = 4 - 0. Suppose -5*m - 36 = -4*r, -3*m - 31 + 11 = -2*r. Suppose r*a + 0*c - o*c = 12, a - 28 = -4*c. What is the greatest common divisor of 40 and a? 8 Suppose 3*y = -2*q + 117, -3*q = -8*q. Suppose 0 = -3*b - 5*m + 103, -5*b - 2*m = m - 145. Calculate the highest common divisor of b and y. 13 Let a = 8 + 2. Calculate the highest common divisor of 5 and a. 5 Suppose 124 = 5*r - 3*r + f, -4*r + 2*f + 232 = 0. What is the greatest common divisor of 15 and r? 15 Let n be 2 + -3 - 67*1. Let z = -22 + n. Let l be (z/(-4))/(3/6). Calculate the greatest common divisor of 15 and l. 15 Let w(s) =
{ "pile_set_name": "DM Mathematics" }
6 -1.28 Product of 0.2 and -0.04. -0.008 -78 times 6.6 -514.8 -0.0005*-0.3 0.00015 Product of 0.4 and -1533. -613.2 304*-0.62 -188.48 Multiply -81 and 0.5. -40.5 -17 * 320 -5440 Product of -1 and -1561. 1561 Calculate 0.4*-75.2. -30.08 Product of 37.9 and -2. -75.8 -4 * -0.055 0.22 Product of 0.463 and -1. -0.463 0.4 * -2427 -970.8 What is -0.05 times -0.4? 0.02 Multiply -6 and 313. -1878 Work out 0.35 * 0.6. 0.21 -3 times 0.304 -0.912 What is -0.02 times -0.439? 0.00878 What is the product of 0.04 and 1? 0.04 -82.5*0.4 -33 -2 * -14 28 Calculate 0.067*0.4. 0.0268 What is 0.22 times -0.1? -0.022 -0.2 * 1388 -277.6 Work out -3 * 0.65. -1.95 What is 11 times 0.452? 4.972 -4 times 0.048 -0.192 Product of 0.0426 and 0. 0 0.04*0.34 0.0136 3 * 124 372 What is the product of 0.107 and -0.6? -0.0642 5 * -690 -3450 0 * 55 0 What is the product of -22 and -2? 44 What is 0.5 times 3499? 1749.5 548 * 0.3 164.4 What is -0.0766 times 2? -0.1532 What is the product of 0 and 6.5? 0 Product of 0.0526 and -5. -0.263 -4345 * 0.1 -434.5 Product of 1.5 and 19.8. 29.7 Calculate -4*0.083. -0.332 Multiply -4064 and -0.6. 2438.4 Calculate 3.01*-20. -60.2 Work out -3 * 0.144. -0.432 Multiply -0.084 and -4. 0.336 What is the product of 10.541 and 0.3? 3.1623 What is the product of -331 and 7? -2317 25.8 * 0.1 2.58 What is 3 times -35? -105 Calculate 3*-650. -1950 -1*-9 9 Product of -0.2 and 181. -36.2 -0.012 times -93 1.116 Work out -6 * 48.06. -288.36 Product of -799 and 0.5. -399.5 26.01 * 1 26.01 What is the product of 0.035 and -2.2? -0.077 21*-0.01 -0.21 83 times -3 -249 106.07 * 0.5 53.035 -3*-42 126 Work out -797 * -5. 3985 Work out -0.22 * -23. 5.06 What is the product of -17 and -7? 119 Multiply 0.79 and 0.13. 0.1027 What is 0.3 times 15.6? 4.68 -70 * 24 -1680 Product of -266.9 and -11. 2935.9 What is -0.6 times -0.3? 0.18 What is the product of 0.045 and -0.04? -0.0018 Multiply -3.33 and -14. 46.62 What is the product of 0 and -0.38? 0 3 * 16.71 50.13 Product of -20765 and 4. -83060 0 times -150 0 Product of -0.016 and -0.13. 0.00208 Work out 534 * 1. 534 Work out -5 * -0.08. 0.4 0.04 times -785 -31.4 Product of -19 and -6. 114 Work out 7569 * -0.5. -3784.5 Calculate -500*0.05. -25 Work out 1.11 * 0.5. 0.555 What is the product of -5.9 and 7? -41.3 -0.06 * -73 4.38 -5 * 120 -600 Work out -28.2 * -0.12. 3.384 -0.752*-0.2 0.1504 What is 235 times 31? 7285 Product of -0.021 and -112. 2.352 -651 times 0.3 -195.3 Product of -3 and 1304. -3912 What is the product of -0.3 and -5.2? 1.56 What is the product of 5 and 80? 400 What is the product of -0.04 and 28? -1.12 Multiply -7 and 367. -2569 5 times 8.3 41.5 -1.12 * 1 -1.12 0.3 * 4.4 1.32 7 times 0.2 1.4 -44 * -0.71 31.24 12 times -0.47 -5.64 Calculate 0.8*57. 45.6 -0.5 times -7.72 3.86 Multiply -0.26 and 0.017. -0.00442 Product of -2 and 8.3. -16.6 Calculate 1202*2. 2404 0.87*-14 -12.18 83*-18.6 -1543.8 -1.2 times -12 14.4 Calculate -88*47. -4136 -0.19 times 0.7 -0.133 What is the product of -8771 and 2? -17542 Product of -41.28 and -5. 206.4 -0.4 times 376 -150.4 Multiply -1464 and 0.3. -439.2 What is 141 times -0.03? -4.23 What is the product of 0.0548 and -2.8? -0.15344 1215 times -0.05 -60.75 What is the product of 209 and 0.7? 146.3 What is the product of -5.7 and 8? -45.6 Product of 32 and 204. 6528 Multiply -0.1 and 0.072. -0.0072 Product of 0.2 and -102. -20.4 Multiply 2 and 449. 898 Work out 4 * 190. 760 Work out 33 * -82. -2706 0.2*41 8.2 Multiply -7.39 and 3. -22.17 What is the product of 2.9 and 5? 14.5 57.7 times -0.3 -17.31 -0.4*5.7 -2.28 Work out -0.2 * 0.644. -0.1288 Multiply -5.16 and -0.4. 2.064 What is -3 times -677? 2031 Work out 5 * -920. -4600 -0.268 times -0.1 0.0268 What is the product of 1586 and 0.05? 79.3 Product of -7 and 73. -511 -280.9 * -0.4 112.36 319 * -0.2 -63.8 What is the product of -6 and 157.3? -943.8 Multiply 0.0539 and -2. -0.1078 Product of -1 and 0.11. -0.11 What is 1.4 times 478? 669.2 Calculate 34*13. 442 Work out -1829 * 0.1. -182.9 Calculate 0.5*-0.49. -0.245 Calculate 0.4221*4. 1.6884 Work out 4 * -2752. -11008 Product of -9 and 2.1. -18.9 Calculate 0.4*-134. -53.6 Calculate 0*0.056. 0 Multiply -6 and 25. -150 -3 times 30.9 -92.7 Work out 0.23 * 80. 18.4 Work out -0.01 * 309. -3.09 Multiply -4 and 1.349. -5.396 Work out -91.65 * -0.3. 27.495 -0.5 times 331 -165.5 Work out -763 * 0.2. -152.6 What is the product of -4 and -40? 160 Work out 0.15 * -5. -0.75 Multiply 89 and 231. 20559 -2647*-0.08 211.76 What is 52 times 0.06? 3.12 -0.113 times -0.4 0.0452 Multiply 0 and -0.028. 0 What is the product of -4 and -157.5? 630 Calculate -0.301*5. -1.505 270*-0.2 -54 What is 0.4 times -544? -217.6 Work out 20.031 * -2. -40.062 What is the product of -76 and -0.05? 3.8 -0.16 times 298 -47.68 What is the product of -10 and 0.3? -3 30*1 30 Work out -2.5 * 1.07. -2.675 -26 * 8 -208 -0.03 times -0.17 0.0051 -55*-3 165 What is the product of -1.9091 and 0? 0 What is the product of 0.5 and -3542? -1771 4.2*-3 -12.6 0.7 times 1284 898.8 Work out 49 * 0.13. 6.37 14697 times -0.3 -4409.1 Product of -0.002 and -3. 0.006 Work out 2.4 * 0.64. 1.536 6*6 36 1976*2 3952 -3274 * -0.6 1964.4 What is the product of -797 and -0.1? 79.7 Multiply 4.2 and -3.9. -16.38 What is -0.3 times -18? 5.4 Product of 9 and 1. 9 Work out -13.1 * 39. -510.9 4 times -0.25 -1 Product of 8 and 17. 136 Multiply 20 and -0.2. -4 Work out -0.5 * 121. -60.5 3*-0.0654 -0.1962 112 times -0.9 -100.8 4008 * 4 16032 What is the product of 7042 and -5? -35210 -3 * 80 -240 -252*-28 7056 Work out -21 * 0.3. -6.3 What is the product of -0.4 and 46? -18.4 What is the product of 2 and 7794? 15588 Work out 0.5 * 407. 203.5 What is the product of 5 and 0.0278? 0.139 14.3*0.4 5.72 75 * -5 -375 45*1.05 47.25 What is 0.1306 times -0.1? -0.01306 What is the product of 0.009 and 0.29? 0.00261 Work out -236 * -0.5. 118 -0.2 * -124 24.8 0.1 * 6.9 0.69 Calculate 1.5*0.01. 0.015 Work out -156 * 0.1. -15.6 What is the product of -3.1 and 0.2? -0.62 What is 1.01 times 0.82? 0.8282 Work out 1.1 * -0.99. -1.089 Multiply 0.3 and -2.389. -0.7167 -0.1 times 0.011 -0.0011 What is 0.0525 times 0.02? 0.00105 Product of 211 and -51. -10761 4 times 28 112 Calculate 0.2*1368. 273.6 Product of 28.7 and 2. 57.4 Calculate 0.01*-19. -0.19 98 * -0.6 -58.8 Multiply 7.944 and 0.5. 3.972 -2844*0.8 -2275.2 What is the product of 3 and 25.1? 75.3 Product of 0.6357 and 0.5. 0.31785 0.2*-264 -52.8 0.2 * -1607 -321.4 Product of 11722 and 0.5. 5861 Calculate 0.4*-386. -154.4 What is 5 times 56? 280 Work out 12.6 * -0.09. -1.134 Product of -0.09 and -0.0805. 0.007245 -0.12 times -49 5.88 Multiply 8 and 0. 0 Product of 0.22 and 0.3. 0.066 Calculate -3.1*1.76. -5.456 What is the product of 0.4 and 8? 3.2 What is -747 times 0.2? -149.4 -2 times 871 -1742 What is 5 times -0.05342? -0.2671 Work out 0.4 * -0.8055. -0.3222 -58.2*0.3 -17.46 What is 1.2 times -0.03? -0.036 What is the product of -1055 and 1? -1055 -0.5 times 0.0834 -0.0417 Multiply 1 and 0.123. 0.123 What is -861 times 0.2? -172.2 Multiply 0.04 and -0.8. -0.032 -1087*-0.2 217.4 Calculate 0.5*-0.685. -0.3425 Calculate -179*0.5. -89.5 Multiply -0.4 and -9. 3.6 0.78*26 20.28 -1.1 times -25 27.5 Calculate 0.24*45. 10.8 Product of -2.7 and 2. -5.4 Calculate -0.13*8. -1.04 What is the product of 2 and 0.0223? 0.0446 Multiply -0.02 and 0.22. -0.0044 150*-3 -450 What is the product of 0 and -298? 0 3.589 times 0.5 1.7945 10*-10 -100 What is the product of -8 and 8? -64 Calculate -3*466. -1398 Work out 0.2 * -0.0647. -0.01294 Multiply 22 and 1129. 24838 0.05*0.1 0.005 0.3 * 40 12 What is 4 times -974? -3896 Multiply -1 and -154. 154 Product of 4.9 and 6. 29.4 What is the product of 18.7 and 2? 37.4 Product of 11.3 and 0.5. 5.65 Work out -2 * -14. 28 What is the product of 0.99 and 0.15? 0.1485 What is -0.3 times -1078? 323.4 What is the product of 3.3 and 5? 16.5 Work out -5.92 * -0.4. 2.368 -349 times -10 3490 What is the product of 4 and -180? -720 Multiply 641.8 and 0.2. 128.36 What is the product of 391 and 14? 5474 1 * 675 675 Product of 19 and -7. -133 Calculate 0.4*-3453. -1381.2 -2*0.121 -0.242 What is the product of -0.5 and 0.19? -0.095 2.3*-0.086 -0.1978 Product of 0.02 and 0.029. 0.00058 What is the product
{ "pile_set_name": "DM Mathematics" }
00. -40000 Let f = -69.00041 - -69. What is f rounded to 4 dps? -0.0004 Let z be ((-3816)/(-27))/(4/6). Round z to the nearest ten. 210 Let j = -1179230.2349927 + 1179098.235. Let l = 0.28 - -131.72. Let k = j + l. Round k to six dps. 0.000007 Let t = 24 + -21.07. Let l = t - 2.8. Round l to one decimal place. 0.1 Let c = -1 + 1.8. Let m = c + 0.2. Let x = 1.044 - m. Round x to 2 dps. 0.04 Let p = -0.001 - 0.0854. What is p rounded to 2 decimal places? -0.09 Let t be -4 - -4 - (-33096)/(-2). Let s = -35452 + t. What is s rounded to the nearest ten thousand? -50000 Let n(o) = -25*o + 3. Let j be n(-8). Suppose 2*f = -g + 3*f - j, 5*f = 0. Round g to the nearest 10. -200 Let d = 57.099 - 57. Round d to 2 dps. 0.1 Let u = 51.99 - 54. Let c = u - -2. Let i = c - -0.0100051. What is i rounded to 6 decimal places? 0.000005 Let b = -80804243 + 80808040.3999. Let m = -3797 + b. Let p = m - 0.4. Round p to 3 dps. 0 Let q(y) = -y**3 - 3*y**2 + 6*y + 6. Let n = 3 - 10. Let v be q(n). What is v rounded to the nearest one hundred? 200 Let f = -44 - -20. Let y = -24.13 - f. What is y rounded to one decimal place? -0.1 Let s be 0 + (4 - 3) + 3. Suppose -s*k + 2*p - 8871 = 24329, 3*p = 0. Round k to the nearest one thousand. -8000 Let w(i) = -6301*i - 10. Suppose 3*c - 4 = -40. Let z be ((-6)/c)/(2/(-40)). Let u be w(z). Round u to the nearest ten thousand. 60000 Let q = -24 + 23.9515. Let m = 17.95 - 18. Let g = m - q. What is g rounded to three decimal places? -0.002 Suppose 5*k - 4*k = -33. Let j = -72 - k. Let m be j*10 + (2 - 2). What is m rounded to the nearest 100? -400 Let v = -54 + 52.26. Round v to one dp. -1.7 Let l be -2 + (-2 - -3) + 4. Suppose -l*d - 9 - 132 = 0. What is d rounded to the nearest ten? -50 Let b be (-4)/(-12)*-3*1 - -731. What is b rounded to the nearest 100? 700 Let m = 26 + -44. Let l = m - -11. Let u(n) = 497*n**3 + 11*n**2 + 11*n + 9. Let t be u(l). What is t rounded to the nearest 100000? -200000 Let t(j) = 2*j - 8. Let q be t(6). Let b be (-148499990)/45 + q/(-18). Round b to the nearest one million. -3000000 Let w = 1664649 - 2400649. What is w rounded to the nearest one hundred thousand? -700000 Let s = 9 + 46. Let t = -55.097 + s. Round t to two dps. -0.1 Suppose 6950 = 7*p - 8*p. What is p rounded to the nearest one thousand? -7000 Let l = 3.9 + -3.90178. Round l to 4 decimal places. -0.0018 Let m = -0.14400227 - -0.144. What is m rounded to 7 dps? -0.0000023 Let g = 9 + -9. Suppose g = -2*k - 6 - 2, -3*i - 27 = -3*k. Round i to the nearest 10. -10 Let l = 2.64 + -2.9. Let r = l - 0.45. What is r rounded to one decimal place? -0.7 Let y = -132.102 - -132.1219994. Let n = -0.02 + y. What is n rounded to six dps? -0.000001 Let o = 0.18 - -29.82. Let j = 9 + o. Let a = j - 50.7. Round a to the nearest integer. -12 Let q = -0.1904 + 0.2. What is q rounded to three decimal places? 0.01 Let o = -88.8 - -5.6. Let h = o - -77. Round h to 0 dps. -6 Let v = -56 - -55.99943. Round v to 4 dps. -0.0006 Let g = -9214948 - -9214937.9999999. Let i = 10 + g. What is i rounded to 6 dps? 0 Suppose 0 = 3*h - 9, 46 = a - 0*a + 3*h. Let m = 48 + a. Suppose -v - m = -3*u, v - u + 215 = -2*v. What is v rounded to the nearest one hundred? -100 Suppose f - 5*a + 17274213 = 2*f, -5*a - 69096927 = -4*f. Suppose 3*j - f = 4325772. What is j rounded to the nearest 1000000? 7000000 Let f = -223.2034741 - 0.0195259. Let m = f + 223. Let n = 0.22439 + m. What is n rounded to 4 dps? 0.0014 Suppose -1891104 = -3*n - 1104. Round n to the nearest 100000. 600000 Suppose 0 = 5*b - x - 32, 5*b - 28 = -x - 0. Let h(n) = 1166668*n - 8. Let j be h(b). Round j to the nearest 1000000. 7000000 Suppose 1129763 + 22670237 = -2*b. Round b to the nearest one million. -12000000 Suppose -2*p - 53 = -t - 794, -1859 = -5*p - 4*t. What is p rounded to the nearest 10? 370 Let d = 58.999931 + -59. Round d to 4 decimal places. -0.0001 Let f = 5 + -5.000158. Round f to five dps. -0.00016 Let r = 4046 - 4272.43. Let v = r - -224. Let i = v - -2.3. What is i rounded to 1 dp? -0.1 Let s(o) be the third derivative of 145001*o**4/24 - 4*o**3/3 - 2*o**2. Let v be s(8). Round v to the nearest one hundred thousand. 1200000 Let p = -16.35 + 1.55. Round p to the nearest integer. -15 Let g = 0.004 + -22.004. Let v = -22.23 - g. Let n = -0.07 + v. What is n rounded to 1 decimal place? -0.3 Let t = 239 - 105. Let z = 133.99917 - t. Round z to four dps. -0.0008 Let h be (-155)/(-6) + 6/36. Let q = h + -44. What is q rounded to the nearest integer? -18 Let y = -4.2402 + -0.6888. Let s = y - -4.9. Round s to 2 decimal places. -0.03 Let i = 49305 - 71305. What is i rounded to the nearest 100000? 0 Let w = -0.022 + 0.0197. What is w rounded to three decimal places? -0.002 Suppose -2*j = -4*x - 780004, 4*x + 735346 + 44662 = 4*j. What is x rounded to the nearest ten thousand? -200000 Let b be (3 - 0) + 1 + 3799996. Suppose 0 = -0*g - g + b. Round g to the nearest 1000000. 4000000 Let h = -41 + 40.965. Round h to 2 dps. -0.04 Suppose -3*n - 15 = -69. Let g = 32 + n. Suppose 4*t + g = -2*d, -3*d + 1 = t + 2*d. What is t rounded to the nearest ten? -10 Let f = 18 - 10. Suppose -t + 5*a = 7, -2*a = t + 4*t + f. Let b be -109000 + -3 + 5 + t. What is b rounded to the nearest ten thousand? -110000 Let o = -118 + 117.99768. Round o to 4 dps. -0.0023 Let r = -12.2 + 18.175. Let p = -6 + r. What is p rounded to 2 dps? -0.03 Let c = 1.7458 + -8349.7458. Let g = c - -8348.09699. Let r = 0.098 - g. Round r to four decimal places. 0.001 Let k(v) = 1142788*v**2 - 3*v + 2. Let q be k(-4). Let f = q - 38484622. What is f rounded to the nearest 1000000? -20000000 Let j = -0.05 + 2.05. Let w = 190.984 + -193. Let x = w + j. Round x to two dps. -0.02 Let l = 5 + -4.88. Let k = l - 0.120002. What is k rounded to seven decimal places? -0.000002 Suppose -4*n = -3*g - 9*n, 3*g + 3*n = 0. Suppose -4*u - d = -28170 + 6172, g = u - 4*d - 5508. Round u to the nearest 1000. 6000 Let q = -1100 - -6400. What is q rounded to the nearest one thousand? 5000 Let s = 6 - 3. Let o = -3.08 + s. Let d = o - -0.0803. What is d rounded to three dps? 0 Suppose -4*g + 2*t = -20 + 4, 2*g + t = 0. Suppose g*p + n = -758 - 167, -5*n = 2*p + 945. Round p to the nearest one hundred. -500 Let c(k) = -54*k + 7*k + 1 - 2. Let a be c(2). Let g be 1/(3/a)*-300. Round g to the nearest one thousand. 10000 Let p(y) = -y**2 + 12*y + 2. Let b be p(12). Suppose 0 = -w + t - 688 - 813, 3*t = b*w + 3003. Round w to the nearest one thousand. -2000 Let m = -9.76402 - 0.07298. Let l = m - -1.83648. Let i = l - -8. Round i to 4 dps. -0.0005 Let v = -1.01 + 0.9879. Round v to 3 decimal places. -0.022 Let h = 0.420999419 + -0.421. What is h rounded to seven decimal places? -0.0000006 Let n be (-24)/(-16)*(-16)/(-6). Suppose -14 = -n*i + 6. Suppose 1801 = i*t + 4501. Round t to the nearest one hundred. -500 Suppose -2*h = -8*h + 130200000. Round h to the nearest 1000000. 22000000 Let n = 102 + -101.9941. Round n to three decimal places. 0.006 Let i = 131 + -45. Let m = 85.9939 - i. What is m rounded to 3 dps? -0.006 Let w be 6/(-3) + 9096 - 4. What is w rounded to the nearest one thousand? 9000 Let u = 289.816906 - -0.019594. Let l = u + -274.84. Let j = l + -15. Round j to 3 decimal places. -0.004 Let u = 290 + -290.406. Let i = u + 0.4060181. What is i rounded to six decimal places? 0.000018 Let n = 0.052 + -0.0519888. Round n to 6 decimal places. 0.000011 Let r(v) = v**2 - v. Let c be r(4). Let k be (544/c)/((-1)/(-375)). Round k to the nearest 10000. 20000 Let x = -38.39968 - -37.7. Let u = 0.7 + x. Round u to four decimal places. 0.0003 Let n = -522 - -522.798. Round n to 1 decimal place. 0.8 Let y(a) = -50556*a**3 - 3*a**2 - 2*a - 6. Let u be y(-6). Let i be 4/(-14) - u/21. Round i to the nearest one hundred thousand. -500000 Let r = 0.0099938 + -0.01. What is r rounded to six dps? -0.000006 Suppose -i - 16245 = -151245. Round i to the nearest ten thousand. 140000 Let o = -184544 + 334542. Let y be 4/12 - o/(-6). What is y rounded to the nearest 10000? 30000 Let h = 5699894 + -5699894.06000062. Let c = -0.13 - -0.07. Let x = c - h. Round x to seven dps. 0.0000006 Let l = 12 + -7. Suppose -3*f = 6, -p = -l*f + 78 - 191. Round p to the nearest 10. 100 Le
{ "pile_set_name": "DM Mathematics" }
is 599 minutes before 4:17 AM? 6:18 PM What is 624 minutes before 10:27 PM? 12:03 PM What is 705 minutes before 6:26 AM? 6:41 PM How many minutes are there between 3:09 PM and 5:21 PM? 132 How many minutes are there between 3:11 PM and 7:11 PM? 240 What is 166 minutes before 12:46 PM? 10:00 AM How many minutes are there between 8:11 PM and 2:57 AM? 406 What is 491 minutes before 6:12 AM? 10:01 PM What is 456 minutes after 11:47 PM? 7:23 AM What is 144 minutes before 8:08 AM? 5:44 AM What is 616 minutes after 6:13 PM? 4:29 AM What is 159 minutes before 10:56 PM? 8:17 PM How many minutes are there between 1:53 AM and 11:37 AM? 584 How many minutes are there between 9:15 PM and 1:45 AM? 270 How many minutes are there between 4:26 AM and 9:26 AM? 300 How many minutes are there between 7:08 PM and 5:17 AM? 609 How many minutes are there between 5:50 AM and 12:03 PM? 373 What is 459 minutes before 1:24 AM? 5:45 PM What is 142 minutes after 1:26 PM? 3:48 PM How many minutes are there between 11:05 AM and 2:06 PM? 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5:23 PM How many minutes are there between 12:40 PM and 6:33 PM? 353 How many minutes are there between 4:08 AM and 6:03 AM? 115 What is 408 minutes before 10:51 PM? 4:03 PM How many minutes are there between 8:06 AM and 6:42 PM? 636 What is 144 minutes after 9:51 PM? 12:15 AM How many minutes are there between 6:59 AM and 3:22 PM? 503 How many minutes are there between 10:10 AM and 11:01 AM? 51 What is 14 minutes before 10:53 AM? 10:39 AM What is 49 minutes before 10:18 AM? 9:29 AM How many minutes are there between 3:32 AM and 5:38 AM? 126 What is 310 minutes before 4:49 AM? 11:39 PM What is 104 minutes after 2:42 PM? 4:26 PM How many minutes are there between 11:26 AM and 4:30 PM? 304 What is 690 minutes before 11:56 PM? 12:26 PM What is 175 minutes before 1:05 PM? 10:10 AM How many minutes are there between 2:57 PM and 5:14 PM? 137 What is 252 minutes after 5:35 PM? 9:47 PM How many minutes are there between 10:02 PM and 5:45 AM? 463 What is 149 minutes before 7:32 PM? 5:03 PM What is 445 minutes after 4:42 AM? 12:07 PM How many minutes are there between 4:13 PM and 3:59 AM? 706 How many minutes are there between 10:11 AM and 7:23 PM? 552 What is 558 minutes after 5:08 AM? 2:26 PM How many minutes are there between 4:16 PM and 5:25 PM? 69 What is 678 minutes before 12:03 PM? 12:45 AM How many minutes are there between 9:56 PM and 9:17 AM? 681 What is 419 minutes before 1:05 AM? 6:06 PM What is 135 minutes before 9:14 AM? 6:59 AM How many minutes are there between 3:48 AM and 1:43 PM? 595 How many minutes are there between 6:46 AM and 11:12 AM? 266 What is 481 minutes after 7:06 PM? 3:07 AM What is 706 minutes after 7:11 PM? 6:57 AM How many minutes are there between 12:38 PM and 10:11 PM? 573 What is 416 minutes before 4:12 PM? 9:16 AM What is 40 minutes before 9:30 AM? 8:50 AM What is 62 minutes before 1:07 PM? 12:05 PM What is 546 minutes before 4:19 PM? 7:13 AM How many minutes are there between 8:09 AM and 9:12 AM? 63 What is 525 minutes before 12:53 AM? 4:08 PM What is 508 minutes before 9:04 PM? 12:36 PM How many minutes are there between 10:18 AM and 6:58 PM? 520 What is 300 minutes before 6:51 AM? 1:51 AM What is 430 minutes before 9:00 PM? 1:50 PM What is 400 minutes before 3:18 PM? 8:38 AM What is 10 minutes after 11:04 PM? 11:14 PM What is 136 minutes before 7:58 AM? 5:42 AM What is 126 minutes after 10:37 AM? 12:43 PM How many minutes are there between 11:01 PM and 6:04 AM? 423 What is 298 minutes before 9:16 AM? 4:18 AM How many minutes are there between 5:39 AM and 6:18 AM? 39 How many minutes are there between 8:38 PM and 5:55 AM? 557 How many minutes are there between 3:49 PM and 9:48 PM? 359 What is 270 minutes before 2:24 PM? 9:54 AM How many minutes are there between 7:11 PM and 6:29 AM? 678 What is 480 minutes after 5:13 PM? 1:13 AM How many minutes are there between 2:00 PM and 4:47 PM? 167 How many minutes are there between 3:37 PM and 12:01 AM? 504 What is 443 minutes before 11:46 PM? 4:23 PM What is 12 minutes after 6:15 AM? 6:27 AM How many minutes are there between 8:08 AM and 11:19 AM? 191 How many minutes are there between 2:50 AM and 2:27 PM? 697 How many minutes are there between 6:40 PM and 5:00 AM? 620 How many minutes are there between 7:11 PM and 8:41 PM? 90 What is 156 minutes after 3:23 AM? 5:59 AM What is 374 minutes after 5:05 PM? 11:19 PM What is 286 minutes before 5:39 AM? 12:53 AM What is 493 minutes after 8:02 PM? 4:15 AM What is 298 minutes before 8:59 PM? 4:01 PM How many minutes are there between 12:16 AM and 3:33 AM? 197 What is 689 minutes after 7:55 PM? 7:24 AM How many minutes are there between 4:08 AM and 10:52 AM? 404 What is 152 minutes after 8:19 AM? 10:51 AM How many minutes are there between 11:58 AM and 12:54 PM? 56 What is 289 minutes before 9:12 AM? 4:23 AM How many minutes are there between 11:53 PM and 6:27 AM? 394 How many minutes are there between 4:53 PM and 1:18 AM? 505 What is 470 minutes after 11:33 PM? 7:23 AM How many minutes are there between 9:55 AM and 12:19 PM? 144 How many minutes are there between 6:16 AM and 4:27 PM? 611 How many minutes are there between 5:24 AM an
{ "pile_set_name": "DM Mathematics" }
1001010001011 In base 3, what is 200 - -20112221200? 20112222100 In base 12, what is 0 - 51428? -51428 In base 9, what is 13634 + -33? 13601 In base 7, what is 166025 - 31? 165664 In base 3, what is 222122002 + -121? 222121111 In base 11, what is 412 - 926? -514 In base 5, what is 2200 - 340? 1310 In base 11, what is -24 + -213? -237 In base 15, what is -20 + -77d9? -7809 In base 13, what is -28 - 60c8? -6123 In base 16, what is 99ce - 3? 99cb In base 16, what is -7 - -6a6d? 6a66 In base 7, what is 2433 - -2? 2435 In base 13, what is a - c3c? -c32 In base 8, what is 716 - -361? 1277 In base 9, what is 2735 - -3? 2738 In base 5, what is -102211 - -3? -102203 In base 8, what is -16 - -5362? 5344 In base 11, what is -3 - 34135? -34138 In base 8, what is 103123 + -2? 103121 In base 16, what is -f + -76e? -77d In base 15, what is -4 - 1022? -1026 In base 15, what is -6dc - 363? -a50 In base 7, what is -2614 + -13? -2630 In base 9, what is -200423 + 8? -200414 In base 10, what is -3 - -390681? 390678 In base 6, what is 241040 - 0? 241040 In base 16, what is -bb - 43? -fe In base 12, what is 0 - 12763? -12763 In base 11, what is 221 - -484? 6a5 In base 16, what is c4cea - -1? c4ceb In base 13, what is -458a - 4? -4591 In base 16, what is f + 103? 112 In base 16, what is 9 + -136d? -1364 In base 4, what is 23220103131 + -2? 23220103123 In base 6, what is -15045 - -111? -14534 In base 7, what is -13 + -622662? -623005 In base 5, what is 3133 - 11404? -3221 In base 4, what is 3031 - 1230? 1201 In base 9, what is 1 + -18682? -18681 In base 5, what is 434242 + 42? 434334 In base 15, what is -1e - 29e? -2bd In base 14, what is 4 + 16259? 1625d In base 7, what is -21 - 1553012? -1553033 In base 8, what is 60 - -6642? 6722 In base 4, what is -112 - 12100? -12212 In base 8, what is -21 + -61062? -61103 In base 13, what is 3aa - -190? 56a In base 14, what is 3 + -7148? -7145 In base 8, what is -14771210 - 5? -14771215 In base 5, what is -102 - -143321? 143214 In base 3, what is -1211 - 22121? -101102 In base 10, what is 0 - -140? 140 In base 16, what is -79 + -130f? -1388 In base 15, what is -2253c + 3? -22539 In base 15, what is 224b7 + 1? 224b8 In base 10, what is -1376 - 31? -1407 In base 4, what is 3 + -1310331? -1310322 In base 5, what is -2 + -4222020? -4222022 In base 10, what is -8 + 3541? 3533 In base 16, what is -3 - 31b9? -31bc In base 13, what is -1a5 + -19? -1c1 In base 9, what is -16 + 8223? 8206 In base 7, what is -5 - 15455? -15463 In base 10, what is 11328 + -344? 10984 In base 12, what is 972 + 66b? 1421 In base 15, what is 24d0 + 50? 2530 In base 15, what is -32800 - 1? -32801 In base 8, what is 6 - 327364? -327356 In base 10, what is 610 - -10? 620 In base 11, what is 31a1 + 1? 31a2 In base 2, what is 0 + 1000011111101101? 1000011111101101 In base 4, what is 11 + 322222323? 322223000 In base 7, what is 36 + 15021? 15060 In base 2, what is -1111110101101100111000 - -100? -1111110101101100110100 In base 16, what is -1 + -1423? -1424 In base 3, what is 2 - -1102210010? 1102210012 In base 14, what is -5689a - -4? -56896 In base 14, what is 3 + -5b930? -5b92b In base 14, what is -28a032 - 5? -28a037 In base 11, what is -25 - 10? -35 In base 9, what is 3 + 32106? 32110 In base 2, what is 101 + 10010111101101? 10010111110010 In base 14, what is 112d2 + 36? 11328 In base 14, what is -3db - ad9? -10d6 In base 7, what is 100 + 603? 1003 In base 11, what is 43a - 422? 18 In base 12, what is -92b - 17? -946 In base 11, what is 51994 - 0? 51994 In base 14, what is b0 - -110? 1c0 In base 13, what is -1478a2 + -1? -1478a3 In base 8, what is -1 + 26411? 26410 In base 6, what is 5 + -120353? -120344 In base 2, what is 111 - -10010101101000110001? 10010101101000111000 In base 12, what is 3a5358 + -3? 3a5355 In base 14, what is dad12 - -1? dad13 In base 10, what is 107918 + 2? 107920 In base 16, what is -e4 - 17f4? -18d8 In base 6, what is 4124151 + -3? 4124144 In base 6, what is -422 - 5123? -5545 In base 12, what is 36 + -191? -157 In base 15, what is -1697 - 1? -1698 In base 16, what is 1 + 920d? 920e In base 9, what is -7653 - -16? -7636 In base 5, what is 2 + 231113? 231120 In base 11, what is 20876 - -5? 20880 In base 13, what is -3b - -478? 43a In base 10, what is 0 - 7251? -7251 In base 8, what is -1502 + -344? -2046 In base 12, what is -318 + 80? -258 In base 15, what is -1264 - e? -1273 In base 9, what is -7 - -18482? 18474 In base 7, what is 343113 + 0? 343113 In base 11, what is -27 - -1700? 1684 In base 13, what is -1742a - -2? -17428 In base 12, what is -11240 + 31? -1120b In base 5, what is 11440 + 1200? 13140 In base 4, what is -331 + 33200? 32203 In base 14, what is -41c + -1c0? -5dc In base 13, what is -1c3 - c2? -2b5 In base 11, what is -6 - 81315? -81320 In base 16, what is d589 - -19? d5a2 In base 16, what is 38b - -6? 391 In base 11, what is -2 - -20074? 20072 In base 15, what is 1a417a + 3? 1a417d In base 7, what is -3363010 - 4? -3363014 In base 6, what is 1 + 10012434? 10012435 In base 6, what is 5315144 + -51? 5315053 In base 14, what is 2 + -7b31c? -7b31a In base 12, what is 166 + -b5? 71 In base 14, what is 357a9 + 3? 357ac In base 4, what is 20 + 23000303? 23000323 In base 7, what is 14 - 1054546? -1054532 In base 8, what is 16615 - 5? 16610 In base 11, what is 2513 + 336? 2849 In base 2, what is -11 - 10010111111011010? -10010111111011101 In base 4, what is -10 + 3133102? 3133032 In base 13, what is -69163 + 7? -69159 In base 12, what is 60a + 195? 7a3 In base 3, what is -1120211 + -122? -1121110 In base 12, what is -4350 + 3? -4349 In base 11, what is 6 - 6871? -6866 In base 5, what is 1021 - -12213? 13234 In base 5, what is 1224433 - 113? 1224320 In base 7, what is 5 + -1245323? -1245315 In base 8, what is -11 + 621500? 621467 In base 7, what is 4 + -14124? -14120 In base 9, what is 71 - -344? 425 In base 3, what is 110110210 - -201? 110111111 In base 4, what is -121 - 23130133? -23130320 In base 16, what is -97074f + -5? -970754 In base 16, what is -26d9 - -1b? -26be In base 14, what is 1417 - -5? 141c In base 16, what is 3 - 1e36f? -1e36c In base 14, what is 6691 - -c? 669d In base 13, what is -18 - -703a5? 7038a In base 6, what is 0 + 242124? 242124 In base 12, what is 2 - 5683b? -56839 In base 10, what is 15 + -2015? -2000 In base 9, what is -184 + -11074? -11268 In base 10, what is 0 - 2285? -2285 In base 5, what is -2031 - 3? -2034 In base 12, what is 6 - 46b0? -46a6 In base 3, what is 100120 + 10100000? 10200120 In base 4, what is 231 - 10302? -10011 In base 15, what is -17e22 - -d? -17e14 In base 13, what is 5 - 557b? -5576 In base 4, what is 211233 - -31? 211330 In base 8, what is 120257 + 0? 120257 In base 10, what is 619 + -662? -43 In base 14, what is -33a - 25b? -597 In base 9, what is 202 - -48? 251 In base 13, what is -1c + 451? 432 In base 13, what is -3b6ba + -1? -3b6bb In base 2, what is 101100 - 11011100111? -11010111011 In base 13, what is 6b5 - -50? 735 In base 11, what is 109 + -2? 107 In base 9, what is -827 - 44? -872 In base 2, what is -10110100 - -1011110001001? 1011011010101 In base 9, what is -3467 - 22? -3500 In base 5, what is 33310242 - 2? 33310240 In base 8, what is -10770 - 111? -11101 In base 10, what is -9120 - 8? -9128 In base 15, what is 9 + -de3b? -de32 In base 16, what is 36e - 3c? 332 In base 6, what is -321 - -14022? 13301 In base 16, what is -3d9d - 6? -3da3 In base 11, what is 1a93 + -a2? 19a1 In base 3, what is -121110200 + 111? -121110012 In base 2, what is -110000 - 1010000011101? -1010001001101 In base 4, what is -111302 - -102? -111200 In base 3, what is 10202222 + 1112? 10211111 In base 10, what is -1 + -124105? -124106 In base 10, what is 0 + -13668? -13668 In base 15, what is b + 5c1b? 5c27 In base 15, what is 97 - -219? 2b1 In base 13, what is 3a22c - 2? 3a22a In base 2, what is -100110001011011 + -110? -100110001100001 In base 6, what is -235 - 13153? -13432 In base 9, what is 46 - -4851? 5007 In base 13, what is -4347 - 0? -4347 In base 3, what is -102 - 10012222? -10020101 In base 13, what is 17c3 - -139? 192c In base 2, what is -11 + -1100010011011010101? -1100010011011011000 In base 16, what is 3b + -53c? -501 In base 4, what is 1 - 10123003? -10123002 In base 8, wh
{ "pile_set_name": "DM Mathematics" }
*4 + 52*u - 6*u**4 - 180*u**2 - 16 + 60*u - 35*u**h - 77*u**3. 4*(u - 1)*(u + 1)*(7*u - 2)**2 Let d(p) be the first derivative of 2/3*p**3 - p - 1/2*p**2 - 1/2*p**4 - 1/30*p**6 + 1/5*p**5 + 5. Let v(j) be the first derivative of d(j). Solve v(u) = 0. 1 Let k(i) be the first derivative of -2*i**6/15 - 8*i**5/5 - 6*i**4 - 32*i**3/3 - 10*i**2 - 24*i/5 + 16. Find f, given that k(f) = 0. -6, -1 Factor 5/2*m - 1/8*m**2 + 21/8. -(m - 21)*(m + 1)/8 Let h(t) be the first derivative of 19 + 0*t**3 + 0*t**2 - 1/30*t**6 + 0*t**5 + 0*t + 1/20*t**4. What is x in h(x) = 0? -1, 0, 1 Let m be 2*(-20)/8 - -10. Find a such that 8 + 10*a - 1 - m*a**2 - 7 - 5 = 0. 1 Let w be 24/616 - 2/(-14). Determine x, given that 0*x**2 + 0 + w*x**3 + 0*x + 2/11*x**4 = 0. -1, 0 Factor -2/13*b**3 + 48/13*b + 20/13*b**2 + 0. -2*b*(b - 12)*(b + 2)/13 Let c(q) be the first derivative of -2*q**6/15 + 3*q**5/5 - q**4 + 2*q**3/3 - 10*q + 11. Let x(u) be the first derivative of c(u). Let x(p) = 0. Calculate p. 0, 1 Let w(h) be the first derivative of h**3/3 + h**2/2 - 2. Let v(t) = -t**3 + 13*t**2 - 47*t + 64. Let k(s) = -3*v(s) + 3*w(s). What is q in k(q) = 0? 4 Suppose 79*u - 84*u = -10. Suppose 2*w + 8*w = u*w. Find r, given that -4/5*r**5 - 4/5*r + 0 + w*r**2 + 0*r**4 + 8/5*r**3 = 0. -1, 0, 1 Let a be (-3)/((-21)/(-4)) + 27864/4515. Factor -12/5*p**3 - a*p**2 - 6/5 + 2/5*p**5 + 2/5*p**4 - 22/5*p. 2*(p - 3)*(p + 1)**4/5 Let b = 99 - 87. Suppose 29*z - 33*z = -b. Let 0 + 4/3*h**2 + 0*h + 10/3*h**z = 0. Calculate h. -2/5, 0 Find w, given that -4*w**2 - w**2 + 20 + 20072*w - 20087*w = 0. -4, 1 Suppose -3*f = -j - 4*j + 66, -3*f = -3*j + 66. Let h = -18 - f. Find g such that -9*g**2 + 6*g**4 + g**2 + 4*g**5 + 20*g**3 - 22*g**h = 0. 0, 1, 2 Let r(j) be the third derivative of j**6/160 - j**5/20 + 5*j**4/32 - j**3/4 + j**2 - 83. Factor r(b). 3*(b - 2)*(b - 1)**2/4 Solve -16/13*h - 4/13*h**2 + 10/13*h**3 - 2/13*h**4 + 0 = 0 for h. -1, 0, 2, 4 Let w(r) be the third derivative of 0*r + 13*r**2 + 1/12*r**5 + 0 - 5/3*r**3 - 5/24*r**4. Let w(x) = 0. What is x? -1, 2 Factor -10/3*q**2 - 2/3*q**3 + 26/3*q - 14/3. -2*(q - 1)**2*(q + 7)/3 Let f(d) be the third derivative of -22*d**2 - 1/12*d**5 + 0*d + 0*d**4 + 0 + 10/3*d**3. Factor f(h). -5*(h - 2)*(h + 2) Let r(q) = 4*q**3 - 69*q**2 - 59*q - 7. Let n(f) = -2*f**3 + 33*f**2 + 29*f + 3. Let z(v) = 7*n(v) + 3*r(v). Solve z(w) = 0. -1, 0, 13 Let i = 46176/17 + -2716. What is h in -i*h**4 - 2/17*h**5 + 0 + 0*h + 0*h**2 + 0*h**3 = 0? -2, 0 Let c(z) = z**2 + z + 1. Let t(p) = -3*p**2 - 2*p + 14. Let u(h) = h**2 + h - 5. Let b(j) = 6*t(j) + 17*u(j). Let g(x) = 2*b(x) - 2*c(x). Factor g(o). -4*(o - 1)**2 Suppose 1/4*c**2 + 21/2 + 43/4*c = 0. Calculate c. -42, -1 Let p = 21/2 - 313/30. Let h(q) be the third derivative of -1/30*q**4 + 0 - 4*q**2 + 0*q + p*q**3 + 1/150*q**5. Factor h(u). 2*(u - 1)**2/5 Determine f so that -204*f**2 + 3*f**5 - 51*f**3 + 62*f + 13*f**4 + 74 - f**4 + 118 - 14*f = 0. -4, -1, 1, 4 Suppose -4*i - s = -5, 6*i - 3*s + 15 = -0*s. Let f(c) be the second derivative of -1/24*c**3 - 1/80*c**5 + 1/24*c**4 + i + 0*c**2 + 5*c. What is j in f(j) = 0? 0, 1 Factor -222*o**2 - 20 + 0*o**3 + 218*o**2 + 26*o - 2*o**3. -2*(o - 2)*(o - 1)*(o + 5) Suppose 1 = 5*h - 19. Suppose a - h*r - 7 = 4*a, 4*a - 28 = 4*r. Factor 3*g**2 + 218*g - 218*g - a*g**4. -3*g**2*(g - 1)*(g + 1) Let h(l) = 3*l**3 + 41*l**2 + 4*l - 132. Let i(a) = 2*a**3 + 27*a**2 + 2*a - 88. Let b(p) = 5*h(p) - 8*i(p). Determine o so that b(o) = 0. -11, -2, 2 Let s(t) = -3*t**2 + 3*t + 11. Suppose -4*p + 8 = -0*p. Let l(f) = 3*f + p*f**2 - 11*f**2 + 6 + 6 + 6*f**2. Let j(a) = 5*l(a) - 6*s(a). Factor j(d). 3*(d - 2)*(d + 1) Suppose -3*m - 6 + 30 = 0. Let y(v) = 5*v**3 + 18*v + v**4 + v**4 - 3*v**4 + 18*v**2 + m. Let d(h) = -h**4 - h**3 - h. Let l(k) = -2*d(k) + y(k). Factor l(u). (u + 1)*(u + 2)**3 Let x(u) = -4*u**3 + 4*u**2 - 8. Let m(c) = -c**3 - c - 2. Let q(l) = 20*m(l) - 4*x(l). Solve q(g) = 0 for g. -2, -1 Suppose -17*q - 3*q = 4480. Let n be q/(-98) - 2*(-2)/(-14). Determine m, given that -1/6*m**4 - 1/3*m + 1/3*m**3 + 0 + 1/6*m**n = 0. -1, 0, 1, 2 Let r(o) be the second derivative of 121*o**4/54 - 748*o**3/9 + 1156*o**2 + 142*o + 2. What is d in r(d) = 0? 102/11 Let b = 27 + -25. Let u(y) be the first derivative of 0*y**3 + 0*y + 5 + 1/14*y**4 - 1/7*y**b. Find g, given that u(g) = 0. -1, 0, 1 Suppose 3*m - 3 = m + w, -3*w = -3*m. Factor 15*d**m - 23*d**4 - 30*d**4 - 6 + 21*d - 27*d**2 + 50*d**4. -3*(d - 2)*(d - 1)**3 Let h be ((-1)/(5/(-4)))/((-118)/6195*-273). Factor -h*b**2 + 40/13*b - 200/13. -2*(b - 10)**2/13 Let g(b) be the first derivative of 2*b**3/27 - 182*b**2/9 + 16562*b/9 - 792. Solve g(f) = 0. 91 Let r be (-20)/8 - (-13)/2. Factor 3*b + 9*b + r*b**3 + 4 + 187*b**2 - 175*b**2. 4*(b + 1)**3 Let a(m) be the second derivative of 5*m**7/42 - 4*m**6/3 + 13*m**5/4 + 65*m**4/6 - 160*m**3/3 + 80*m**2 - 74*m + 1. Determine b so that a(b) = 0. -2, 1, 4 Let r(a) be the first derivative of -a**3/6 - 13*a**2/4 - 20*a + 58. Find j, given that r(j) = 0. -8, -5 Let q(p) = p**2 - 7*p + 7. Let u(w) = 3*w - 3. Let c(a) = 2*q(a) + 5*u(a). Let h(z) = z**2 + z. Let g(m) = 5*c(m) - 15*h(m). Factor g(i). -5*(i + 1)**2 Let c(x) be the second derivative of -x**6/6 + 3*x**5/4 - 5*x**4/12 - 5*x**3/2 + 5*x**2 + 2*x + 90. Let c(n) = 0. What is n? -1, 1, 2 Let d = -163 + 166. Let x be 2/d*(-6)/(-18). Find g, given that -2/9*g**4 + 0*g**3 + 0 + x*g**5 + 0*g + 0*g**2 = 0. 0, 1 Factor 25 + 19*l**2 - 225 + 23*l**2 - 39*l**2 + 599*l. (l + 200)*(3*l - 1) Let v be ((-8)/(-16))/(1/2). Let r be 16 + -9 - 1/v. What is h in 0*h - h + 4*h - r + 3*h**2 = 0? -2, 1 Let a(j) = -289*j - j**2 + 5 - 4 + 290*j. Let p(m) = 2*m**3 + 4*m**2 + 2*m + 2. Let z(u) = -4*a(u) + 2*p(u). Let z(b) = 0. What is b? -3, 0 Let o(t) = 12 + 12 - 3*t - 3 + 3*t**2. Let x(k) = k**2 - k + 10. Let w = -33 + 24. Let u(r) = w*x(r) + 4*o(r). Factor u(p). 3*(p - 2)*(p + 1) Factor -1/3 + 97/6*v**2 + 95/6*v. (v + 1)*(97*v - 2)/6 Let b(o) = -375*o**5 + 915*o**4 - 705*o**3 + 192*o**2 + 30*o + 15. Let d(m) = -m**4 - m**3 - 2*m - 1. Let j(k) = b(k) + 15*d(k). Solve j(h) = 0. 0, 4/5 Solve -14/13*o**4 + 2/13*o**5 - 66/13*o**3 + 1176/13 + 1232/13*o + 262/13*o**2 = 0. -3, -2, 7 Factor -94/11*o + 10/11*o**2 + 84/11. 2*(o - 1)*(5*o - 42)/11 Let j(n) be the second derivative of -23*n**4/16 + 21*n**3/8 + 3*n**2/4 + 271*n. Solve j(x) = 0. -2/23, 1 Let t(j) be the first derivative of 1/40*j**5 + 3*j - 5 - 1/8*j**4 - 1/4*j**2 + 1/4*j**3. Let f(l) be the first derivative of t(l). Factor f(a). (a - 1)**3/2 Let p(j) be the second derivative of j**7/126 + j**6/90 - j**5/30 - j**4/18 + j**3/18 + j**2/6 - 2*j + 39. Suppose p(n) = 0. What is n? -1, 1 Suppose -4*c + 16 = 3*d, -3*d + 8*c = 3*c - 7. Solve -80*v**2 + 96*v**2 - d*v**3 + 0*v**3 - 8*v - 4*v = 0 for v. 0, 1, 3 Let p(d) be the second derivative of 0 - 10*d + 1/12*d**4 - 1/6*d**3 + 0*d**2. Factor p(l). l*(l - 1) Factor 4/7*g**4 - 2/7*g**5 - 72/7*g + 22/7*g**3 + 0 - 24/7*g**2. -2*g*(g - 3)**2*(g + 2)**2/7 Let r(t) = 4*t**3 - 15 - 5 - 19*t - 5*t. Let n(s) = -s - s + 4*s - s + 1. Let x(b) = -20*n(b) - r(b). Factor x(p). -4*p*(p - 1)*(p + 1) Let n(k) be the second derivative of 4/15*k**2 - 26*k - 1/3*k**3 + 2/9*k**4 + 0*k**6 - 1/15*k**5 + 1/315*k**7 + 0. Factor n(a). 2*(a - 1)**4*(a + 4)/15 Let w(h) be the second derivative of -h**7/28 + 7*h**6/20 - 51*h**5/40 + 17*h**4/8 - 3*h**3/2 - h + 31. Suppose w(y) = 0. What is y? 0, 1, 2, 3 Let w = 14 - 10. Let i be 2 + 36/(-21) - (-520)/91. Factor 32*s**3 - w*s - 29*s**3 + 0*s**4 - 4*s**2 + i*s**4 + s**5 - 2*s**4. s*(s - 1)*(s + 1)*(s + 2)**2 Let u(p) be the third derivative of p**7/126 - p**6/12 - 3*p**5/4 - 5*p**4/18 + 10*p**3 + 327*p**2 - 2*p. Factor u(x). 5*(x - 9)*(x - 1)*(x + 2)**2/3 Suppose 5*k = 2*k. Let m be (-2 - k) + 17 + 3. Solve 6*a + 8 - m*a + 2 + 2 - 45*a**2 = 0. -2/3, 2/5 Suppose 43*j - 10 + 42 - 161 = 0. Find h such that 3/2 + 3/8*h**4 - 21/8*h**j + 45/8*h**2 - 39/8*h = 0. 1, 4 Let t(v) = -18*v**3 + 56*v**2 + 840*v + 2322. Let x(n) = 2*n**3 + 2*n**2 + n - 1. Let z(f) = -2*t(f) - 20*x(f). Factor z(w). -4*(w + 4)*(w + 17)**2 Let r(i) = 6*i**3 + 9*i**2. Suppose l + 3 = z, 3*l - l + 3 = -z. Let y(k) = -k**3. Let a(c) = z*r(c) + 9*y(c). Factor a(g). -3*g**2
{ "pile_set_name": "DM Mathematics" }
mes -0.5? -0.1931 216 * 0.75 162 Calculate -0.0182*3.3. -0.06006 -95.57*-0.04 3.8228 What is the product of 60.5 and 119? 7199.5 -404 * 475 -191900 2.31382 * 0.2 0.462764 Calculate 0.2*21957. 4391.4 Calculate 14916*0.03. 447.48 Calculate 0.1619*34. 5.5046 702.76 * 0.13 91.3588 Calculate 0.07*-11.621. -0.81347 -0.39 times -0.1291 0.050349 0.3*3.791 1.1373 -3 * -0.003813 0.011439 Calculate 0.16*0.931. 0.14896 Work out 0.1997 * 0.08. 0.015976 What is the product of -428 and 2790? -1194120 What is 4623 times 0.5? 2311.5 Work out -4.8889 * 0.067. -0.3275563 0.18 times -202659 -36478.62 Multiply -8 and 26.42. -211.36 Calculate 2*0.039742. 0.079484 0.0445*35 1.5575 -461.7*-0.2 92.34 Product of -28233.6 and 0.5. -14116.8 Multiply 3.22 and -0.1466. -0.472052 -136411 times 33 -4501563 Multiply -2455 and 40. -98200 What is 4 times -435? -1740 -119 times -12250 1457750 What is 0.131 times -19.1? -2.5021 Work out 274 * 433. 118642 -4 * 614665 -2458660 2265 times 1.37 3103.05 -121*0.06977 -8.44217 Multiply 5 and 501729. 2508645 Work out 0.3 * 54827. 16448.1 What is -0.06497 times 0.7? -0.045479 15.4 times 7.1 109.34 Calculate 24*9.29. 222.96 What is -158 times 927.6? -146560.8 Multiply 8394 and -55. -461670 Work out 39 * 0.28. 10.92 Calculate 3342*-0.0125. -41.775 810 times 0.0261 21.141 Multiply 158921 and 0.014. 2224.894 What is 0.38 times 2449? 930.62 Multiply 2.2 and 16083. 35382.6 What is the product of 34604 and -1? -34604 What is the product of -28 and 92585? -2592380 -1*12236 -12236 Product of -1 and -28031. 28031 What is the product of -4 and -27.802? 111.208 Work out -4 * -0.0530276. 0.2121104 -1946 * -1215 2364390 762.1 times 94 71637.4 320.3 times -18 -5765.4 Work out 5957 * -14. -83398 Calculate -1.2926*-132. 170.6232 0.05 times 11492 574.6 69906 times 3 209718 What is 19 times 3943? 74917 -1*-0.64931 0.64931 -3886 times 74 -287564 -77 times 684 -52668 What is 86388 times -2.1? -181414.8 Multiply 19.1541 and 4. 76.6164 Multiply -2.2327 and 46. -102.7042 Multiply 9 and -3369. -30321 Product of 0.5 and 22.4. 11.2 Work out -266 * -48. 12768 274 * -1.71 -468.54 Product of 25 and 0.4536. 11.34 What is -334 times -1? 334 Calculate -17.985*-0.4. 7.194 Product of -2373481 and 4. -9493924 -4.3983*1.8 -7.91694 1133685 * -0.3 -340105.5 Work out -94 * -14.81. 1392.14 Multiply 0.8 and 2.4557. 1.96456 2*-0.5146 -1.0292 What is the product of 1.1059 and 3? 3.3177 -418418 times 0.4 -167367.2 -0.0882*0.109 -0.0096138 What is -0.2 times 12.243? -2.4486 Product of -0.0771 and 1.25. -0.096375 What is the product of 3456.64 and -5? -17283.2 Multiply -4 and -1.3296. 5.3184 -11915 * -40 476600 Calculate 10*-20580. -205800 -0.4335 * 0 0 Calculate -1*5767.97. -5767.97 Multiply 449012 and -2. -898024 Multiply 3594 and 265. 952410 -11 times 8731 -96041 What is the product of -19.58 and 2.1? -41.118 Calculate 0*-0.18837. 0 Product of -0.5 and -5987.5. 2993.75 -7*181797 -1272579 What is 18 times -53726? -967068 Calculate -14.1*2477.1. -34927.11 What is the product of -870.3 and 0.118? -102.6954 Calculate 1.2*-1932. -2318.4 -0.0167937 * -2 0.0335874 What is the product of 999 and -83? -82917 What is the product of 75440 and -2? -150880 -29482 times 5 -147410 189 * -37 -6993 0.163473*-0.1 -0.0163473 -200*0.15 -30 Product of 21468 and -0.1. -2146.8 Work out 6.97 * -2.2. -15.334 Multiply -259 and 2211. -572649 -0.09895*-0.05 0.0049475 Calculate 0.17*-0.24051. -0.0408867 0.003 * 527 1.581 -1.4*1.94 -2.716 What is 2750 times 0.51? 1402.5 Work out -38 * -321. 12198 -464.31 times 9 -4178.79 Product of 0.15 and 290. 43.5 Product of -5 and -20530. 102650 0.3 times -13230 -3969 Multiply -1148 and -13.9. 15957.2 Work out -0.1961 * 0.816. -0.1600176 Product of 2380 and 11.5. 27370 -1315*-78 102570 Multiply 2327 and -0.54. -1256.58 Work out 1.86 * -5631. -10473.66 0.07 * -261251 -18287.57 Calculate 2*-0.043667. -0.087334 Calculate -0.6*-91.9. 55.14 Product of 0.5 and -323603. -161801.5 -5177*-5.4 27955.8 Calculate -357390*0.9. -321651 -267.6596 * 0.5 -133.8298 Product of 6545 and 31. 202895 -4 times -59805 239220 Work out 12326 * -0.3. -3697.8 What is the product of -691.715 and 2? -1383.43 5*0.37506 1.8753 What is 922 times 4901? 4518722 What is -0.429 times 1175? -504.075 -18.5 * 1329.6 -24597.6 What is the product of 4 and 14300.2? 57200.8 Calculate -0.3*-0.030226. 0.0090678 What is 162 times 11.163? 1808.406 -1072 * -1 1072 Calculate 0.57*10.9. 6.213 451843 * -3 -1355529 What is the product of 205.587 and 0.1? 20.5587 Multiply -31.7 and -0.259. 8.2103 Product of -1 and -229.29. 229.29 Work out -1 * -8718. 8718 Calculate -28*-5796. 162288 What is -4856 times -0.4? 1942.4 Product of 0.64 and 3.273. 2.09472 What is the product of -9 and 21098? -189882 Product of -0.4 and 97653.5. -39061.4 What is the product of 229 and 93? 21297 Work out -0.29014 * 78. -22.63092 Multiply -1.19 and 0.4873. -0.579887 4*-4692.39 -18769.56 -3 times -29552.3 88656.9 Product of -617144 and 0.6. -370286.4 0.316*169 53.404 Work out -3722 * 5. -18610 Product of 0.02 and -70235. -1404.7 0 * -290716 0 Work out -8 * 25.52. -204.16 -0.00593386*-3 0.01780158 Work out -3 * 4089. -12267 Calculate -191*-43. 8213 -0.72*-33.2 23.904 -0.2 times -0.07513 0.015026 Work out 5 * 41942. 209710 -1732 * -14 24248 What is the product of -2087 and 8? -16696 -2 * 0.067462 -0.134924 Multiply -0.3503 and -3. 1.0509 0.505 * 0.0347 0.0175235 -1.3205 * 0.01 -0.013205 Calculate -377*853. -321581 Work out 1.6 * -213. -340.8 Multiply -0.156 and 2.244. -0.350064 4*-4346 -17384 What is the product of -0.08061 and 3? -0.24183 What is the product of -0.033233 and 0.027? -0.000897291 Calculate 5238*-26. -136188 What is 0.845 times 14? 11.83 Work out 1.72325 * 0.01. 0.0172325 Product of -49500.9 and -3. 148502.7 What is 5 times 12.125? 60.625 262923*-0.2 -52584.6 What is the product of 0.1 and -15566? -1556.6 10*-296.97 -2969.7 -108.3*-0.47 50.901 Product of 0.103231 and -0.5. -0.0516155 Product of -1938 and 547. -1060086 Multiply -2 and 39405. -78810 Multiply 0.4 and -44775. -17910 1974799*-0.2 -394959.8 Work out 1.531 * -124. -189.844 Work out -6654.7 * -0.1. 665.47 Calculate 3*2.03359. 6.10077 Multiply 0.1 and -0.08784. -0.008784 What is the product of -968 and 127.4? -123323.2 Calculate 0.4*1.1556. 0.46224 Product of -47 and 13025. -612175 Product of -1.4 and -192.074. 268.9036 1.6 * 0.4164 0.66624 Multiply -13.6785 and 0.3. -4.10355 Calculate -2*0.10537. -0.21074 Work out -0.0025 * -245. 0.6125 Work out 1096 * 2.31. 2531.76 Product of 22.373 and 0.08. 1.78984 What is the product of 47930 and -0.6? -28758 0.3 times -60129 -18038.7 What is -8.2275 times -0.1? 0.82275 Calculate 14*-8569. -119966 0.81149*1 0.81149 What is the product of -0.5 and -77282? 38641 What is the product of 6 and 2616.8? 15700.8 Work out -2 * -0.503. 1.006 -5 times -24.339 121.695 0.069 * 8997 620.793 36.1017 * -2 -72.2034 Work out 0.8806 * 0.018. 0.0158508 What is -286 times -0.011? 3.146 Work out 24.3 * -0.1518. -3.68874 What is the product of 0.1 and 0.389709? 0.0389709 What is 3 times -51? -153 What is the product of 4 and -50998? -203992 Calculate 1435*-2.3. -3300.5 What is 0.488 times 953? 465.064 -18747 times 37 -693639 0.051 times 42.19 2.15169 Work out -0.6 * -0.15991. 0.095946 Multiply 32 and -0.0875. -2.8 Calculate -29368*1.08. -31717.44 What is 14.12 times 0.66? 9.3192 Work out 3.565616 * -1. -3.565616 -91482 times 3 -274446 Calculate 21645*0.08. 1731.6 What is 10759 times -6? -64554 -9*-0.56878 5.11902 Work out -1089533 * -5. 5447665 What is 0.06 times 24268? 1456.08 What is -182529 times 0.3? -54758.7 -1056 * 81 -85536 Product of 2.61 and -61. -159.21 -2*8114 -16228 2.91 * 2.6 7.566 What is the product of -6406.21 and -0.4? 2562.484 Multiply -120.32 and -12. 1443.84 3198 * 44 140712 Multiply 16664 and -0.104. -1733.056 Calculate -11863.8*-5. 59319 Calculate 98541*5. 492705 Multiply 88 and -8609. -757592 Multiply 93.83 and -5. -469.15 Calculate -2*163.18. -326.36 4 times 5737.4 22949.6 Multiply -102 and 5.2. -530.4 16 * 5291 84656 Multiply -11 and -0.805787. 8.863657 Product of -10 and -64.44. 644.4 Product of 0.492 and 0.057. 0.028044 -234.26 * -0.3 70.278 Multiply -0.10665 and 6. -0.6399 Calculate 595057*4. 2380228 Product of -0.4 and 8.27332. -3.309
{ "pile_set_name": "DM Mathematics" }
hat is prob of picking 1 s and 3 m? 4/495 What is prob of picking 3 a when three letters picked without replacement from aaavav? 1/5 Two letters picked without replacement from {c: 13, x: 3}. Give prob of picking 1 x and 1 c. 13/40 Two letters picked without replacement from {n: 4, h: 2, p: 1, c: 3}. What is prob of picking 1 n and 1 h? 8/45 Calculate prob of picking 2 i and 2 y when four letters picked without replacement from {e: 2, p: 1, y: 3, i: 1}. 0 What is prob of picking 1 a and 2 n when three letters picked without replacement from {n: 16, a: 2}? 5/17 Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {h: 3, a: 6, p: 9, d: 1}. 15/323 Four letters picked without replacement from {e: 13, y: 4, n: 3}. What is prob of picking 1 y, 2 e, and 1 n? 312/1615 What is prob of picking 2 p when two letters picked without replacement from kdzzdzzzkzzkzpzpd? 1/136 What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 5, j: 2}? 10/21 Three letters picked without replacement from ehuhhuheugeehueh. What is prob of picking 1 e, 1 g, and 1 h? 3/56 Two letters picked without replacement from fffznnmmzzzzafff. What is prob of picking 2 n? 1/120 What is prob of picking 1 m and 1 f when two letters picked without replacement from mrofy? 1/10 Four letters picked without replacement from {l: 4, g: 3}. What is prob of picking 4 g? 0 Two letters picked without replacement from {g: 2, x: 5}. What is prob of picking 1 x and 1 g? 10/21 Two letters picked without replacement from zzzwww. What is prob of picking 1 w and 1 z? 3/5 Two letters picked without replacement from emeyaml. Give prob of picking 1 l and 1 e. 2/21 Four letters picked without replacement from {u: 4, o: 2, a: 8, r: 1}. What is prob of picking 2 a and 2 u? 8/65 Two letters picked without replacement from {v: 7, r: 1, n: 3, f: 2, s: 3, y: 3}. Give prob of picking 1 n and 1 v. 7/57 Two letters picked without replacement from {t: 1, o: 1, k: 2, w: 2}. Give prob of picking 1 w and 1 k. 4/15 Two letters picked without replacement from rvjvrrrrrrtvvjr. Give prob of picking 1 r and 1 j. 16/105 Two letters picked without replacement from {j: 4, f: 1, e: 1, i: 3, d: 4, r: 2}. Give prob of picking 1 r and 1 f. 2/105 What is prob of picking 2 k and 1 o when three letters picked without replacement from kkqqqkkqkkkoqqkkqkqq? 3/76 Calculate prob of picking 3 f when three letters picked without replacement from {z: 15, f: 4}. 4/969 Two letters picked without replacement from vvyvyvyvvyvvvyvyvyv. Give prob of picking 2 v. 22/57 What is prob of picking 2 z, 1 y, and 1 a when four letters picked without replacement from zaaaayyaaaaayaaazayz? 52/1615 Three letters picked without replacement from {t: 4, k: 3}. What is prob of picking 3 k? 1/35 Calculate prob of picking 3 r when three letters picked without replacement from rfqqqrrzzqzzfzz. 1/455 What is prob of picking 2 d and 1 t when three letters picked without replacement from dutdrbrduurttrrutudd? 2/57 What is prob of picking 2 o and 1 p when three letters picked without replacement from oooooopooooooooooo? 1/6 What is prob of picking 1 d and 1 v when two letters picked without replacement from {u: 2, d: 2, o: 2, v: 3}? 1/6 Four letters picked without replacement from {h: 3, o: 4}. What is prob of picking 2 h and 2 o? 18/35 Three letters picked without replacement from {y: 1, a: 4, h: 1, t: 4, s: 3, e: 1}. Give prob of picking 1 a, 1 h, and 1 t. 4/91 What is prob of picking 1 e, 1 l, and 1 t when three letters picked without replacement from {n: 3, l: 1, q: 4, t: 7, e: 2}? 7/340 Four letters picked without replacement from {g: 3, l: 3, y: 1, i: 3}. Give prob of picking 2 g and 2 l. 3/70 Calculate prob of picking 2 m and 1 e when three letters picked without replacement from mmmssemsmsse. 1/11 What is prob of picking 3 p and 1 q when four letters picked without replacement from qppppqqqqqqpqppqpqpp? 80/323 Two letters picked without replacement from {r: 5, c: 2}. Give prob of picking 2 r. 10/21 What is prob of picking 1 m, 1 h, and 1 y when three letters picked without replacement from fjsjsssymshsj? 1/286 What is prob of picking 1 c, 2 z, and 1 p when four letters picked without replacement from ncjjpjpjzccncpnz? 3/455 Two letters picked without replacement from kjkeqqkkqqxkqk. Give prob of picking 1 j and 1 x. 1/91 Calculate prob of picking 1 c and 1 j when two letters picked without replacement from uqjrc. 1/10 Three letters picked without replacement from jjeeej. Give prob of picking 3 j. 1/20 Two letters picked without replacement from gwwwwggwgwgwwwwwwww. What is prob of picking 1 g and 1 w? 70/171 Three letters picked without replacement from eeeemmemeeeeeeeeemem. What is prob of picking 3 e? 91/228 What is prob of picking 1 f and 1 z when two letters picked without replacement from {z: 7, j: 8, f: 5}? 7/38 Two letters picked without replacement from hjhjqqqqjjhj. Give prob of picking 1 h and 1 j. 5/22 What is prob of picking 1 e, 1 m, and 1 b when three letters picked without replacement from bwmes? 1/10 Two letters picked without replacement from {u: 2, m: 5}. Give prob of picking 2 m. 10/21 Calculate prob of picking 3 f and 1 u when four letters picked without replacement from nnifjjnjanafaffnnuu. 2/969 What is prob of picking 1 y and 1 d when two letters picked without replacement from {r: 1, l: 2, d: 2, y: 4, s: 3, f: 3}? 8/105 Three letters picked without replacement from vvjvjjcjcvjv. What is prob of picking 1 v and 2 c? 1/44 Calculate prob of picking 2 y and 1 x when three letters picked without replacement from {g: 1, y: 1, x: 2, v: 1}. 0 What is prob of picking 2 k when two letters picked without replacement from mdgkkzhz? 1/28 Three letters picked without replacement from {w: 1, d: 4, c: 3, a: 2, i: 2}. What is prob of picking 1 d, 1 c, and 1 a? 6/55 Calculate prob of picking 1 s, 2 x, and 1 d when four letters picked without replacement from {s: 6, f: 3, x: 4, d: 1, r: 1}. 12/455 Four letters picked without replacement from {m: 8, k: 3}. What is prob of picking 1 m and 3 k? 4/165 Three letters picked without replacement from jkjjkkjvv. What is prob of picking 3 j? 1/21 Four letters picked without replacement from {v: 3, p: 8}. Give prob of picking 4 p. 7/33 Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {s: 2, w: 1, f: 1, j: 1, c: 1, i: 1}. 2/21 Calculate prob of picking 2 w when two letters picked without replacement from {v: 2, a: 6, w: 3, m: 2}. 1/26 Calculate prob of picking 1 t and 1 k when two letters picked without replacement from kptrz. 1/10 Three letters picked without replacement from xhhhphuhmqxhhh. What is prob of picking 1 q, 1 m, and 1 p? 1/364 What is prob of picking 4 k when four letters picked without replacement from tjhltttttvkkkjjkkkhl? 1/323 Two letters picked without replacement from {g: 13, i: 3, y: 4}. What is prob of picking 1 g and 1 i? 39/190 Three letters picked without replacement from {b: 6, u: 4}. What is prob of picking 3 u? 1/30 Three letters picked without replacement from ucccuccccc. What is prob of picking 2 u and 1 c? 1/15 Four letters picked without replacement from {d: 5, z: 7}. Give prob of picking 3 z and 1 d. 35/99 Three letters picked without replacement from {o: 1, x: 1, g: 12, z: 3, w: 1, i: 2}. Give prob of picking 1 o, 1 w, and 1 i. 1/570 What is prob of picking 2 u when two letters picked without replacement from iijdidijjdwuidijiui? 1/171 Two letters picked without replacement from wrrrwrrrrrwrrrwwrrrr. What is prob of picking 2 r? 21/38 Calculate prob of picking 2 f and 1 s when three letters picked without replacement from {f: 2, s: 2}. 1/2 Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {t: 1, a: 3, j: 3, q: 1, b: 5}. 5/26 What is prob of picking 3 d and 1 q when four letters picked without replacement from {d: 4, q: 3}? 12/35 Calculate prob of picking 4 j when four letters picked without replacement from {j: 6, g: 2}. 3/14 Three letters picked without replacement from {i: 4}. Give prob of picking 3 i. 1 What is prob of picking 3 i when three letters picked without replacement from {o: 1, k: 4, t: 3, a: 2, i: 7}? 7/136 Calculate prob of p
{ "pile_set_name": "DM Mathematics" }
18. What is -6*k(b) + o(b)? 3*b**2 + 2*b - 12 Let o(s) = -5 - 2*s - 2 - 7*s + 6*s + 4*s + 2*s**2. Let m(u) = -u**3 + u**2 - 1. Calculate -m(z) - o(z). z**3 - 3*z**2 - z + 8 Suppose -7*h = -5*h - 2*d + 14, -4*h - 4*d + 4 = 0. Let j(a) = -a**2 - a. Let m(s) = -15*s**2 - 5*s + 1. Determine h*j(l) + m(l). -12*l**2 - 2*l + 1 Let i(t) = t + 4 + 3 - 3. Let h(j) = j. Let a(d) = d**2 + 8*d - 147. Let y be a(10). Suppose -3*c - y + 36 = -3*o, 3*o + 9 = -3*c. What is c*i(p) + 3*h(p)? 2*p - 4 Let l(t) = -3*t + 1. Let g(c) = -3*c + 2. Suppose 43*o + 16 = 3*n + 45*o, -4*n - 5*o + 19 = 0. What is n*g(f) - 7*l(f)? 3*f + 5 Let z(o) = 8*o + 4. Let c(t) = -3*t - 1. Let l(w) = 3*c(w) + z(w). Let k(v) = -v + 1. Let p be 4 - 2 - 0/4. Suppose 0 = a - p + 4. What is a*k(n) + l(n)? n - 1 Let a(o) = 15*o**3 + 4*o**2 - 5*o + 5. Let y(x) = 14*x**3 + 5*x**2 - 6*x + 6. Let r be ((-10)/14)/((-13)/91). Calculate r*y(c) - 6*a(c). -20*c**3 + c**2 Let i = 54 + -52. Suppose -i*m - r = 0, 4*m + 6 - 34 = 5*r. Let y(v) = -2*v + 352*v**2 + 4 - 354*v**2 + v. Let u(n) = -1. Give m*u(j) + y(j). -2*j**2 - j + 2 Let p(l) be the second derivative of 0 - 18*l + 1/3*l**3 + 0*l**2. Let c(m) = -7*m + m**3 + 3*m + 2 - 1 + 2*m. Determine 2*c(t) + 3*p(t). 2*t**3 + 2*t + 2 Let u(n) = n + 1. Suppose 4*s + 12 = -3*b - 3, -4*b = 2*s + 10. Let g(d) = -8*d**2 + 3*d + 4. Determine b*g(c) + 4*u(c). 8*c**2 + c Let v = 89 + -49. Let p(i) = -19*i - 34. Let z be p(-6). Let r(o) = v*o - z*o + 39*o. Let g(x) = -6*x + 3. What is g(a) - 4*r(a)? -2*a + 3 Let r(c) = 2*c + 50. Let t(a) = 10*a + 251. Suppose 6*v = 51 + 7 + 8. Determine v*r(d) - 2*t(d). 2*d + 48 Let i = 1 - 5. Let m(b) = -10*b**3 - 4*b**2 + 4*b - 4. Let j(a) be the first derivative of 21*a**4/4 + 3*a**3 - 9*a**2/2 + 9*a + 493. What is i*j(v) - 9*m(v)? 6*v**3 Let m(u) = 2*u + 11. Let i(j) = 4*j - 12. Let k(z) = 3*i(z) + 4*m(z). Let g(d) be the first derivative of 5*d**2/2 + 2*d - 8. Determine -9*g(y) + 2*k(y). -5*y - 2 Let a(w) = -436*w + 149. Let z(k) = -3051*k + 1107. Determine -15*a(o) + 2*z(o). 438*o - 21 Let u(d) = 24*d + 23*d - 122*d + 1 + 52*d + 24*d. Let y(s) = 7*s - 8. Determine -5*u(o) + y(o). 2*o - 13 Let h(i) = 3*i**2 - 62*i + 1. Let y(j) = 7*j**2 - 62*j + 2. Calculate -3*h(p) + 2*y(p). 5*p**2 + 62*p + 1 Let j(l) = 5*l**3 - 2*l**2 + 1234*l. Let v(f) = -11*f**3 + 4*f**2 - 2473*f. What is -9*j(c) - 4*v(c)? -c**3 + 2*c**2 - 1214*c Let z(b) = 1. Let w(k) = 86*k + 8. Let m(s) = -2*s**3 - 112*s**2 + 119*s + 284. Let a be m(-57). Determine a*w(o) + 8*z(o). -86*o Let a(i) = -29*i + 58. Let m(k) = -301. Let y(c) = -251. Let t(l) = -5*m(l) + 6*y(l). Determine -a(d) - 58*t(d). 29*d Let u(s) = -1246*s**2 + 7476*s + 4984. Let h(p) = -p**2 + 3*p + 2. Calculate -2492*h(i) + u(i). 1246*i**2 Let p(y) = -y**2 - y. Let b(r) = 2*r - 352*r**2 - 7*r - r + 1 + 345*r**2 + r. Calculate -b(s) + 4*p(s). 3*s**2 + s - 1 Let g(o) = -246829960*o**3 - 115461*o + 115461. Let b(x) = -12827*x**3 - 6*x + 6. What is 38487*b(k) - 2*g(k)? -12829*k**3 Let i(d) = -27*d**3 - 4*d**2 - 4*d. Let m(o) = -54*o**3 - 9*o**2 - 9*o. Suppose 4*b + 30 = -9*h + 7*h, 5*h + 3*b + 54 = 0. Determine h*i(g) + 4*m(g). 27*g**3 Let r(l) = 55*l**3 + 4*l**2 - 5. Let w(a) = 302*a + 4230. Let n be w(-14). Let x(v) = -27*v**3 - 2*v**2 + 2. What is n*r(z) + 5*x(z)? -25*z**3 - 2*z**2 Let k(y) = -88*y**2 + 879*y. Let q(j) = 50*j**2 - 441*j. What is 3*k(a) + 5*q(a)? -14*a**2 + 432*a Let t(w) = -3*w**2 - 2*w. Let r(i) = -98*i**2 + 13*i + 1. Calculate -r(d) - 9*t(d). 125*d**2 + 5*d - 1 Let x(u) = 20*u. Let s(i) = -369*i + 22. Let t(a) = -75*a + 4. Let j(n) = -6*s(n) + 33*t(n). Give -2*j(w) - 27*x(w). -18*w Suppose 6*k - 5*s - 26 = 4*k - 3*s, 0 = -2*s. Let h(j) = -17*j**2 + 12*j + 6. Let q(v) = -8*v**2 + 6*v + 3. Calculate k*q(t) - 6*h(t). -2*t**2 + 6*t + 3 Let u(o) = 66*o**3 + 33*o**2 + 31. Let r(w) = -132*w**3 - 69*w**2 - 64. Let y(q) = 2*r(q) + 5*u(q). Let p(x) = 5*x**3 + 2*x**2 + 2. What is -27*p(d) + 2*y(d)? -3*d**3 Let z(w) = -2*w**3 + 5*w**2 - 5*w. Let n(h) = h**3 - h**2 + h. Let y(t) = -2*t**3 - 21*t**2 + 10*t + 199. Let c be y(-10). Determine c*z(k) - 5*n(k). -3*k**3 Let q(j) = -56*j**2 + 20*j + 40. Let b(c) = -37*c**2 + 13*c + 25. Give 8*b(z) - 5*q(z). -16*z**2 + 4*z Let n(f) = -37*f**2 - f. Suppose -21*r - 582 = -624. Let w(m) = 110*m**2 + 3*m. What is r*w(g) + 7*n(g)? -39*g**2 - g Let k(z) = 4*z + 3. Let l be ((-6)/(-3) + 4 + -14)/(-3 + 1). Let i(s) = -s**3 + s. Determine l*i(v) - k(v). -4*v**3 - 3 Let t(z) = -2*z**2 + 3*z + 23. Let v(f) = 2*f**2 - 3*f - 25. Give 4*t(g) + 5*v(g). 2*g**2 - 3*g - 33 Let y(n) = -n**3 - 4*n**2 + 2*n. Let g(c) = -10*c**2 + 3*c**2 - c**3 - c + 2*c + 3*c. Suppose 2*f + 9*k - 8*k = 2, 0 = 3*f + 4*k + 12. Give f*g(v) - 7*y(v). 3*v**3 + 2*v Let x(h) = -6*h**2 - 9*h. Let g(v) = 72*v - 7425. Let d be g(103). Let n = 1 - -2. Let u(o) = -o + n*o - o + o**2. Determine d*u(q) - x(q). -3*q**2 Let t(h) = 4 - 2*h**3 - 4*h**3 - 4*h + 5242*h**2 + 0*h**3 - 5274*h**2. Let u(m) = -7*m**3 - 31*m**2 - 5*m + 5. Give -5*t(q) + 4*u(q). 2*q**3 + 36*q**2 Let b(a) = 36*a**2 + 15*a. Suppose -10*n + 8*n = -2*w - 40, 0 = 5*w + 3*n + 84. Let u be w/4*640/(-192). Let c(p) = 5*p**2 + 2*p. Give u*c(y) - 2*b(y). 3*y**2 Let h(j) = 8*j**2 - 2*j. Let i(f) = -114*f**2 + 9*f + 3. What is 4*h(d) + i(d)? -82*d**2 + d + 3 Let x(r) be the second derivative of -r**4/12 + 6349*r. Let u(l) = -4*l**2 + 25*l. Give -u(w) + 6*x(w). -2*w**2 - 25*w Let a(b) be the first derivative of 11*b**3/3 + 7*b**2/2 - 9*b + 111. Let x(z) = 17*z**2 + 11*z - 14. Let k = -21 - -29. Determine k*a(h) - 5*x(h). 3*h**2 + h - 2 Let r(o) be the first derivative of -17*o**3/3 - 11*o + 15149. Let b(u) be the second derivative of 2*u**4/3 + 5*u**2/2 + u. Calculate -13*b(z) - 6*r(z). -2*z**2 + 1 Let v(q) = 7*q. Let d be 4/1*(-1)/2. Let z = 2 - d. Let m(o) = 391*o - 10193. Let x be m(26). Let c(b) = 48*b. Determine x*v(g) + z*c(g). 3*g Let d(g) = -4821*g + 14. Let w(a) = -2*a + 14. What is d(k) - w(k)? -4819*k Let t(y) = -15409*y**3 + 30815*y**3 + 5*y + 5 - 15392*y**3 - 9*y**2. Let j(k) = -7*k**3 + 5*k**2 - 3*k - 3. Determine 5*j(s) + 3*t(s). 7*s**3 - 2*s**2 Let f(i) = 11*i + 13. Let q(x) = 5*x + 6. Let t(r) = -6*f(r) + 13*q(r). Let g = 1167 + -1168. Let z(m) = -2 - 4 + 8. Give g*z(p) - t(p). p - 2 Let l(a) = -6*a - 2. Let u(z) be the second derivative of z**3/6 - z**2/2 + 454*z. Calculate l(h) + 5*u(h). -h - 7 Let l(h) = 26*h**2 + 4*h - 3. Let f(b) = -b**3 + 2*b**2 + 67*b + 35. Let j be f(-7). Let u(a) = 9*a**2 + a - 1. What is j*u(g) - 2*l(g)? 11*g**2 - g - 1 Let n(p) = 2*p - 1. Let i(d) = 3*d - 214950 + 214953 - 2*d. Let r(x) = 5*x - 3*x + 0 + 5. Let q(a) = -7*i(a) + 4*r(a). Calculate -5*n(o) + 8*q(o). -2*o - 3 Let x(p) be the second derivative of -3*p**3/2 + p**2 - 175*p + 1. Let a(r) = -5*r + 1. Give 11*a(f) - 6*x(f). -f - 1 Let m(n) = -78*n + 5. Let i(w) = 80*w - 4. What is 2*i(c) + 3*m(c)? -74*c + 7 Let r(t) = -30453672*t - 68416. Let f(y) = -21371*y - 48. What is -4276*f(u) + 3*r(u)? 21380*u Let o(n) = 18*n**2 + 6. Let t(a) = -18*a**2 - 22*a**2 - 20 - 20*a**2 + 15 + 42*a**2. Give 5*o(k) + 6*t(k). -18*k**2 Let l = -365 - -370. Suppose -4*b + l*n - 11 = 0, -4*b - 2*n - 21 = -31. Let x(a) = 11*a - 4. Let s(k) = 1. Calculate b*x(f) + 4*s(f). 11*f Let v(f) = f**2 + 1. Let h(a) = 0*a**2 + a + 2*a**2 - a**2. Let m(b) = 2*b**2 + 3*b - 1. Let q(z) = -3*h(z) + 2*m(z). Give q(s) + v(s). 2*s**2 + 3*s - 1 Let s(d) = -d**2 - 1. Suppose 104*h - 153 + 673 = 0. Let q(g) = -9*g**2 + 2*g - 3. Determine h*s(w) + q(w). -4*w**2 + 2*w + 2 Let d(r) = 2*r**3 + 19*r**2 - 75*r - 184. Let c be d(-12). Let w(b) = -b. Let m(i) = i**3 + i. Give c*m(k) - w(k). -4*k**3 - 3*k Let k(z) = z. Let u(t) be the second derivative of -t**3 + 672*t. Let g(m) = -m**2 - 8*m + 2. Let d be g(-8). Suppose -2*r + d = -r. Calculate r*u(i) + 11*k(i). -i Let x(q) = q + 3. Suppose 636*i - 640*i = -12. Let m(b) = -2*b - 3. Give i*m(g) + 2*x(g). -4*g - 3 Let u(y) = 4*y**3 - 4*y + 1. Let i(s) = -6*s**3 - 207*s**2 - 10*s. Determine -i(m) - u(m). 2*m**3 + 207*m**2 + 14*m - 1 Let s(u) = u**2 - u - 1. Let r(z) = -18*z**3 + 12*z**2 - 12*z - 12. Let d(f) = f**3 - 3*f**2 - 12*f - 12. Let m be d(0). Determine m*s(w) + r(w). -18*w**3 Let u(y) = 38*y**2 + 5*y + 1. Let t be 2/8*2 + (-12)/((-24)/(-17))
{ "pile_set_name": "DM Mathematics" }
In base 15, what is -123 - 6? -129 In base 16, what is 4c2 + 2? 4c4 In base 15, what is 57 + 33? 8a In base 15, what is 1 - -364? 365 In base 6, what is 41 + 145? 230 In base 12, what is -5 + 658? 653 In base 4, what is -1 - 31103? -31110 In base 5, what is 10 + 101321? 101331 In base 15, what is 68 - 5? 63 In base 6, what is -34 + 2? -32 In base 5, what is 1 - -100232? 100233 In base 2, what is 1010011 - -1? 1010100 In base 8, what is -173 + 44? -127 In base 10, what is -3 - -98? 95 In base 4, what is -11 - 132131? -132202 In base 13, what is 8a - 0? 8a In base 3, what is -2 - -120211? 120202 In base 10, what is 24 - -2? 26 In base 8, what is -2 - 25? -27 In base 13, what is -10 - -8c? 7c In base 16, what is -aa9 - 2? -aab In base 3, what is 0 - -1110? 1110 In base 4, what is 33 + 3? 102 In base 7, what is 24 + -42? -15 In base 9, what is 34 + 5? 40 In base 3, what is 22211 + -120? 22021 In base 9, what is -447 + 2? -445 In base 10, what is 5 - -296? 301 In base 3, what is 20012 + -10? 20002 In base 8, what is 1224 - -3? 1227 In base 3, what is 12 - -10221? 11010 In base 16, what is 21 - -3? 24 In base 14, what is 3 + -2ad? -2aa In base 13, what is 53 - -5? 58 In base 16, what is 2 + -9b? -99 In base 8, what is 5 - -3? 10 In base 3, what is -100222 + 20? -100202 In base 3, what is -102101 + 11? -102020 In base 15, what is -8e - 1? -90 In base 10, what is 16 - -7? 23 In base 6, what is 14 - -20? 34 In base 8, what is -536 + -4? -542 In base 2, what is 0 + 10000100? 10000100 In base 3, what is -102101100 - -2? -102101021 In base 15, what is 49 - -11? 5a In base 15, what is 5 + -a65? -a60 In base 5, what is -1101133 - -10? -1101123 In base 13, what is -3c + 14? -28 In base 16, what is -33 + 10? -23 In base 3, what is 110120 + -10? 110110 In base 3, what is -102 - 1? -110 In base 16, what is 4 + -99a? -996 In base 7, what is 66 + -16? 50 In base 2, what is 11111 - 0? 11111 In base 15, what is -514 - -3? -511 In base 4, what is 22311 + -313? 21332 In base 5, what is 2234 + -2? 2232 In base 9, what is 146 - 3? 143 In base 4, what is -212311 - 3? -212320 In base 8, what is -17 - 25? -44 In base 7, what is -26664 + -5? -30002 In base 16, what is -3 + -73? -76 In base 10, what is 527 + 3? 530 In base 3, what is 11102 + 2? 11111 In base 8, what is 226 + 141? 367 In base 7, what is -5 + -3544? -3552 In base 12, what is 0 - 40? -40 In base 9, what is -3 - 23? -26 In base 4, what is 122300 - -11? 122311 In base 7, what is 4 + -1664? -1660 In base 13, what is 15 - 260? -248 In base 5, what is 24 - 14? 10 In base 16, what is 1 + 2a? 2b In base 14, what is 2 + 1d2? 1d4 In base 8, what is 5 - -212? 217 In base 16, what is -81 - -7? -7a In base 11, what is 21a + 0? 21a In base 16, what is -6 + -21? -27 In base 7, what is -1231 - 4? -1235 In base 8, what is 0 + -36? -36 In base 3, what is 2 + -212021? -212012 In base 5, what is -233 - 2440? -3223 In base 12, what is -407 - 0? -407 In base 10, what is 11519 - -2? 11521 In base 15, what is 4 + 4? 8 In base 7, what is 120625 - -2? 120630 In base 14, what is 58 + -2? 56 In base 8, what is 1732 + 1? 1733 In base 9, what is 104 + -14? 80 In base 11, what is -1838 - 1? -1839 In base 5, what is -1 + 23? 22 In base 6, what is 4 + -5140? -5132 In base 14, what is -20 + 2? -1c In base 2, what is 101011 + 110? 110001 In base 3, what is 2222121 + -12? 2222102 In base 10, what is 5 - -173? 178 In base 15, what is -18 + 1? -17 In base 15, what is 4 - -3? 7 In base 16, what is 1b - 2f? -14 In base 13, what is 1c - -94? b3 In base 4, what is 230 - 0? 230 In base 16, what is 2 + -172? -170 In base 15, what is -137 - -1? -136 In base 11, what is -2 - -4a8? 4a6 In base 15, what is 19 + -1c? -3 In base 13, what is -3 + -4? -7 In base 3, what is 12222 - 11? 12211 In base 15, what is 26 + -5? 21 In base 8, what is -1 - -156? 155 In base 16, what is 1c90 - -2? 1c92 In base 10, what is 5 + -25? -20 In base 16, what is -7 - b? -12 In base 8, what is 2661 + 4? 2665 In base 11, what is 54 + -6? 49 In base 2, what is 1 - -11110001111? 11110010000 In base 9, what is -165 + -6? -172 In base 11, what is 9 + -1749? -1740 In base 14, what is -8a - b? -97 In base 2, what is 100011000110111 + -101? 100011000110010 In base 13, what is 89 - 0? 89 In base 8, what is 6526 - 0? 6526 In base 16, what is 17 + 3d3? 3ea In base 5, what is 4 - -1434? 1443 In base 15, what is -2 + 1542? 1540 In base 13, what is -12b - -4? -127 In base 3, what is 221 - -10? 1001 In base 4, what is -2 + 10? 2 In base 14, what is 2233 + 4? 2237 In base 3, what is -1120 + -12? -1202 In base 3, what is -111011 - 11? -111022 In base 15, what is 6 + b? 12 In base 4, what is -23011 + 10? -23001 In base 7, what is -16 - 31? -50 In base 2, what is 101111 - -110? 110101 In base 6, what is 450 + -14? 432 In base 2, what is -10001111001 - 101? -10001111110 In base 7, what is 1 - 123? -122 In base 10, what is 49 - -7? 56 In base 15, what is -8 + -14? -1c In base 11, what is -316a - 7? -3176 In base 6, what is -1 - -1535? 1534 In base 10, what is 1 - -3204? 3205 In base 15, what is -23a0 - 2? -23a2 In base 2, what is 1000111111000 + -100? 1000111110100 In base 2, what is 0 + 10001110100? 10001110100 In base 2, what is -1100010101 + 0? -1100010101 In base 14, what is -4 - 26? -2a In base 14, what is -7 + -12c? -135 In base 14, what is 1 - a? -9 In base 12, what is -8 - -157? 14b In base 9, what is -1760 - 1? -1761 In base 16, what is 144 - 1? 143 In base 7, what is -144 - -10? -134 In base 8, what is 20 + 55? 75 In base 14, what is 30d - -9? 318 In base 2, what is 11010 + -1000? 10010 In base 8, what is -4 - 2453? -2457 In base 15, what is 1 + 95? 96 In base 5, what is 434 + 2? 441 In base 11, what is 399 + -19? 380 In base 13, what is 1 - -98? 99 In base 14, what is -14 - -a? -8 In base 7, what is 10 - 2241? -2231 In base 6, what is -4 + 4000? 3552 In base 8, what is 250 + -2? 246 In base 4, what is -33 - 110? -203 In base 13, what is 233 + -1? 232 In base 4, what is 31 - -20100? 20131 In base 9, what is -1 - -131? 130 In base 15, what is 4 + 457? 45b In base 8, what is 10 + 342? 352 In base 4, what is 202 + -1? 201 In base 14, what is 3c36 + 5? 3c3b In base 11, what is 1 + -31? -30 In base 2, what is 101 + -1100101? -1100000 In base 12, what is 1b + -4? 17 In base 11, what is -1 - -177? 176 In base 11, what is 302 + 6? 308 In base 10, what is 1 - -5? 6 In base 2, what is -100010 - 1001? -101011 In base 11, what is 16 - 8? 9 In base 5, what is 122 + 4? 131 In base 3, what is 11 - -110222? 111010 In base 4, what is -103 + 20110? 20001 In base 4, what is -31 - 1000? -1031 In base 7, what is -5 - -440? 432 In base 9, what is 148 - -2? 151 In base 15, what is d4 - 1? d3 In base 6, what is -151 - 4? -155 In base 7, what is -13 + -412? -425 In base 16, what is -792 + 1? -791 In base 3, what is -212110 + 2? -212101 In base 3, what is -12212111 + 12? -12212022 In base 11, what is 3 + 21? 24 In base 7, what is -161 - -4? -154 In base 15, what is 1 + 22d? 22e In base 16, what is -7 + -1? -8 In base 3, what is -22 + 12210? 12111 In base 9, what is -1 + 268? 267 In base 12, what is 3899 - -5? 38a2 In base 4, what is -2101 + 3? -2032 In base 10, what is -81 + 5? -76 In base 8, what is -273 - -2? -271 In base 6, what is -315 + -2? -321 In base 8, what is 2420 + 0? 2420 In base 5, what is -20 + 1? -14 In base 8, what is 73 + 122? 215 In base 10, what is 495 + 33? 528 In base 14, what is 0 - 182? -182 In base 10, what is 196 + -35? 161 In base 10, what is 3 + -204? -201 In base 9, what is -208 - -11? -187 In base 15, what is 3 - -92? 95 In base 7, what is -15 + 0? -15 In base 3, what is 12 - -1012? 1101 In base 14, what is 2ac + 3? 2b1 In base 10, what is 294 + 0? 294 In base 12, what is -454 + 4? -450 In base 5, what is 1 - -33? 34 In base 9, what is -50 - -7? -42 In base 10, what is -31 - 7? -38 In base 11, what is 3 - -2351? 2354 In base 9, what is -8466 - -2? -8464 In base 12, what is a + -12? -4 In base 15, what is 9 - 17? -d In base 11, what is 299 - 0? 299 In base 7, what is -56 + 2? -54 In base 2, what is -10111110 - 1? -10111111 In base 8, what is -12 - 406? -420 In base 10, what is -35 - 39? -74 In base 5, what is 3230 - 1? 3224 In base 6, what is -10 - 533? -543 In base 15, what is 5 - -
{ "pile_set_name": "DM Mathematics" }
r**2 + 0*r**2 - 3*r**2 + 2 + 2*r**4 to the form j*r**3 + n*r**4 + m + a*r**2 + v*r and give a. -8 Rearrange (3*a**4 - 2*a**4 - 4*a**4)*(1 + 1 - 3) - 4 + 4 - 7*a**4 to v + j*a**3 + h*a**4 + s*a + g*a**2 and give h. -4 Express 5*h + 4*h - 8*h as l + n*h and give l. 0 Rearrange -2*z + z**2 + 4*z**3 - 3*z**3 + 2*z**4 + 5*z**3 - 3 - 4*z**3 to the form a*z + u*z**3 + f*z**4 + q*z**2 + c and give c. -3 Express ((3*i - 2*i + 4*i)*(i + 4*i - 4*i) + (0 + 2*i + 0)*(-i - 3*i + 5*i))*(0 + i**2 + 0) as f*i**4 + a*i**3 + t + c*i**2 + p*i and give a. 0 Rearrange (-t - 1 + 1)*(-5 + 5 + t + (-1 + 0 + 2)*(-2*t + 3*t + 0*t) + t + 2*t - t - 2*t - t + t) to the form m*t + w*t**2 + x and give w. -2 Express (4 + 3 - 5)*(-8*i + 7*i + 20 + 4) in the form r + w*i and give r. 48 Rearrange -1953 - 13*p + 49*p + 1951 to the form v + n*p and give v. -2 Express -6*n - 3 - 16*n**2 + 25*n**2 + 3 in the form k + x*n + u*n**2 and give x. -6 Express ((2*z - 2*z - 2*z**3)*(-1 + 3 + 1) + z**3 - 1 + 1)*(-3 + 0 - 7) in the form m + n*z**2 + a*z + b*z**3 and give b. 50 Express -2 + 0 - 3*v - 6 in the form l + k*v and give l. -8 Express 5*r**4 + 7*r**4 + r**2 + 1 - 2*r - 8*r**4 - r in the form q*r + f*r**4 + x + v*r**2 + a*r**3 and give v. 1 Rearrange (d**3 + 2 - 3 + d**3)*((6 - 4 - 3)*(1 + 3 - 3) + 99 - 34 - 43) to the form m + j*d + l*d**3 + k*d**2 and give m. -21 Rearrange 3 - 12 + q - 8 + 2 to the form f + j*q and give f. -15 Express (-4*b + 3*b - 2*b)*(2*b - 2 + 2)*(3 + 1 - 3) in the form m + t*b + v*b**2 and give v. -6 Rearrange k**3 + 3*k**4 + k - 2*k + 0*k to the form d*k + w*k**2 + v*k**4 + p + m*k**3 and give m. 1 Rearrange 2*a - 2*a**3 - a**3 + a**3 - 28*a to the form s*a**2 + h + m*a**3 + q*a and give m. -2 Rearrange -3*i + 17*i - 20*i + 5 to y + o*i and give y. 5 Rearrange (7*r + 0*r - 11*r)*(5 - 5 - 2) to the form h + a*r and give h. 0 Rearrange f - f - 2 + 0*f - 2*f**2 to the form d*f**2 + r + o*f and give r. -2 Rearrange 16*b - 14*b**3 + 5 - 18*b - 2*b**3 to the form g*b**3 + o*b + p + h*b**2 and give p. 5 Rearrange -6 - 15*r + 16*r - 4 + 3 to the form t + k*r and give k. 1 Rearrange (-4*n + n + 2*n)*(-2 + 3 + 1)*(8*n**3 - 2*n**3 - 2*n**3) to w + q*n**4 + g*n + z*n**3 + o*n**2 and give q. -8 Rearrange 0 + 3*n**4 + 0 + (21 + 6*n - 21)*(3*n**3 - 4*n**3 + 0*n**3) to the form z + g*n**3 + u*n + o*n**2 + y*n**4 and give y. -3 Rearrange (-6*i + i + 0*i)*(5*i**2 + 6*i - 6*i) - 2*i**3 + 4*i**3 + 0*i**3 to u*i**3 + j + m*i + w*i**2 and give u. -23 Rearrange 14 + 19 - 6*c**2 - 32 + c**3 to t*c**2 + z*c**3 + s*c + w and give z. 1 Rearrange -4*z**2 + 4*z**2 + z**2 + (-7*z + 0*z + z)*(-4*z - 7*z + 3*z) + (3 - 2 - 3)*(z**2 + 0*z + 0*z) to the form q*z**2 + w*z + l and give q. 47 Express 45 - 17 - 21 + i as o + w*i and give w. 1 Rearrange (3*v**2 - v**2 - 3*v**2)*(2*v + 2*v - 2*v) + (-7 - 6 - 3)*(-3*v**3 + 3*v**3 + v**3) to the form x*v**2 + s*v + y + r*v**3 and give r. -18 Express -5*v + 181*v**2 - 2*v**3 - 181*v**2 in the form w + r*v**3 + l*v**2 + m*v and give r. -2 Rearrange 6*y**2 + y - 5*y**2 - 3*y - y - 3*y**3 to the form i + m*y**3 + j*y**2 + p*y and give p. -3 Express -25 + 25*l + 25 as a + t*l and give t. 25 Express 3*y**2 - y**3 - 6*y**3 + y**2 + 8*y**3 in the form s*y**2 + b*y**3 + o*y + g and give s. 4 Rearrange (-31*u - 31*u - 6*u)*(-4*u + 3*u + 1 - 2) to q + b*u + h*u**2 and give b. 68 Rearrange -2*z**3 + 3*z - 29*z + 19*z to j*z**2 + y*z**3 + q + d*z and give d. -7 Express 2*k**4 - 4 - 2 + 5 - 2*k**3 - 4*k**4 - 2*k**2 as s*k**3 + x*k**4 + g + w*k + a*k**2 and give a. -2 Rearrange 3 + c**3 - 1 - 3*c - 3 to the form n + d*c**3 + q*c**2 + z*c and give z. -3 Express -5*s**2 + 0*s**2 - 5*s**2 - 2*s**2 in the form x + y*s**2 + f*s and give y. -12 Express (4*x**2 - 3*x**2 - 3*x**2)*(16 - 13 - 9) in the form n + p*x + m*x**2 and give m. 12 Rearrange 1 + 4*w**2 + 2 - w**2 - 1 to the form y + s*w**2 + x*w and give y. 2 Rearrange 2433 - 2433 + 39*k to the form z + q*k and give q. 39 Express ((-4 + 3 - 1)*(-3 - 2 + 4) + 1 - 3 + 1)*(-n + 2*n + 6*n) in the form s*n + o and give s. 7 Rearrange -8*b**2 + 0*b**2 + 0*b**2 to o*b**2 + g*b + p and give g. 0 Express (2*i**3 + i**2 - i**2)*(1 - 5 - 6)*((3*i - 3*i + 2*i)*(0 + 1 + 1) + 0 + 4*i + 0) in the form k*i + r*i**4 + c + a*i**3 + b*i**2 and give r. -160 Express -2 - 9*g + 3*g + 15*g as a*g + k and give k. -2 Express 2*z**2 - 2 + 2*z + 3 - 2 + 2*z**3 as l*z + n + w*z**3 + f*z**2 and give w. 2 Express 21*s + 6*s + s in the form j + y*s and give y. 28 Rearrange (2*i**3 - 2*i**3 - 3*i**3)*(-i - i + 4*i) + 2*i**4 + i - i to the form m*i**3 + f*i**4 + p + v*i + h*i**2 and give f. -4 Express -171 + 10*l + 171 in the form k + z*l and give z. 10 Express (2*u + 0*u - u)*(-2*u + 2*u - 3*u**3) + 9*u**4 - 19 + 11 + 6 as h*u**2 + j*u**4 + v*u + i + z*u**3 and give i. -2 Rearrange (-3*m + 5*m - m)*(-3*m + 3*m - 3*m)*(-m**2 + 3*m**2 - 3*m**2) to h*m**3 + k*m**2 + v*m + d + b*m**4 and give b. 3 Rearrange 5 + 5 - 2 + 0 + 3*d**2 to the form g + u*d**2 + z*d and give g. 8 Express (-1 + 1 + 17*s**2)*(-7 - 2 + 3) as m + a*s**2 + d*s and give a. -102 Rearrange -3*s**3 - 10*s**2 - 5*s + 3*s + 9*s**2 - 10*s**3 to h + u*s**3 + x*s + l*s**2 and give l. -1 Rearrange -8*c + 2 - 2 + 74*c to the form l*c + x and give l. 66 Rearrange -15*l**4 - 16*l**3 + 0*l**2 - l**2 + 17*l**4 + 13*l**3 - 2*l to the form b + y*l**4 + j*l**2 + m*l**3 + x*l and give x. -2 Express (0*p - 2*p + 0*p)*(-17*p - 9*p + 28*p + 12) in the form l*p**2 + r*p + s and give r. -24 Express -2*j - 8 + 6*j - 3*j - 5*j as q + i*j and give q. -8 Rearrange -i - 2*i + 5*i + (0 + 0 + 2 + (-3 - 1 + 3)*(6 - 1 - 3) + 4 - 4 - 1 + 26 - 6 - 2)*(0 + 0 + i) to y + r*i and give r. 19 Rearrange (3 - 26 - 17)*(2 + s - 2) to z*s + a and give z. -40 Rearrange 2*b**4 - 2 - 2*b**2 + 0*b**4 + 0*b**4 to o*b**4 + p*b + i + g*b**3 + h*b**2 and give o. 2 Rearrange 3 - 3*r**3 + r - 3 + 0*r to the form y + v*r**3 + x*r**2 + d*r and give d. 1 Express 3*p**4 - 9*p**2 - 2*p + 1 - p**4 - 3*p**2 + 9*p**2 - 2*p**3 as f*p + l*p**3 + j*p**2 + n*p**4 + k and give l. -2 Rearrange 0*r**2 - r**2 + 3*r**2 - 4*r**3 + 5*r**3 + 6*r**4 to l + f*r + v*r**4 + a*r**3 + o*r**2 and give v. 6 Express 13 - 14 - 3*d**3 - 13*d + 4*d**3 in the form s*d**2 + g*d**3 + u*d + w and give g. 1 Express 45*o + 2 - 46*o - 2 as t*o + i and give t. -1 Express -4*z + 2*z**3 - z**3 + 4*z**3 + 2 as j + t*z**2 + h*z + v*z**3 and give h. -4 Rearrange p + 44*p + 28*p to the form o + t*p and give t. 73 Rearrange -4*u - 3*u + 5*u + 0*u + u - 3*u + (-3 + 2 + 0)*(0*u - 3*u + u) + 3*u + 3*u - 5*u - u + u - 2*u to the form p + h*u and give p. 0 Express 4*j**4 + 0*j**4 - 3*j**4 + (j**4 - 2*j**4 - j**4)*(-3 + 3 - 4) - j**2 + j**2 + 2*j**4 as v + z*j**3 + s*j + c*j**4 + f*j**2 and give c. 11 Rearrange -2*t - 2*t**2 + 3*t + 0*t - 2*t + 4*t**3 to k*t**3 + f*t + u + p*t**2 and give p. -2 Rearrange -9*m**2 + 2*m**2 - 7*m**2 to the form d*m + a*m**2 + j and give j. 0 Rearrange 43 - 91 + 9*t + 50 to the form g + a*t and give a. 9 Express (b + 2 - 2)*(4*b**3 + 14*b**2 - 5*b**3 - b**3) in the form h*b + u*b**3 + y*b**4 + n + g*b**2 and give u. 14 Rearrange -11*q**2 - 12*q**2 + 25*q**2 + 3*q to f*q**2 + b*q + a and give f. 2 Rearrange (2 + 0 - 1)*(4*m + 2*m - 3*m) + m + 2*m + 3*m to the form d*m + u and give d. 9 Rearrange (7 + 1 - 1)*(-3*m**2 + 6*m**2 - m**2) - 3*m - 2*m**2 + 3*m + 0*m**2 + 5*m**2 - 3*m**2 to h*m + r*m**2 + p and give p. 0 Rearrange 8*b**2 + 38 - 38 to z + y*b + a*b**2 and give z. 0 Express w - 6*w**3 - 5*w**2 + 6*w**3 - 6*w**3 as j*w**2 + s + y*w**3 + u*w and give j. -5 Express 1 - 1 - 570*t + 641*t in the form n + k*t and give n. 0 Express 8*r**2 + 2*r**3 + 13*r**2 - 1 - 9*r**2 + 3*r + 3 in the form z + k*r + o*r**2 + i*r**3 and give k. 3 Express 1 - 2*x**2 - x**2 - 3*x**2 + 3*x**2 in the form b*x**2 + d*x + u and give b. -3 Express (-3 + 3 + r)*(-1 + 2 + 1) - 3*r - 5*r + 0*r + 2 + r - 3*r + r as c + k*r and give k. -7 Rearrange -2*m**3 - 7 + 17 + 14 - 5 to u*m + x + l*m**3 + s*m**2 and give u. 0 Rearrange -51 + 51 - 8*m to u*m + k and give u. -8 Express 2*z - z**2 + 3*z + 3*z in the form g*z + v*z**2 + p and give g. 8 Rearrange 41*k**3 + 39*k**3 + 6 + 2*k - 79*k**3 to c + l*k**3 + j*k + x*k**2 and give c. 6 Rearrange (-2 + 1 + 4)*(5 - 4 + 3)*(v**4 - v**4 - 2*v**
{ "pile_set_name": "DM Mathematics" }
*(3/2))**41/((j*j/(j*j**4*j*j))/j)**(-42) assuming j is positive. j**(-463/2) Simplify ((y*((y/y**(-15))/y)/y)**(-2/13))**6 assuming y is positive. y**(-180/13) Simplify ((u**(2/5)*u*u)**(-23)*(u*u**4)/u**(-1/5))**24 assuming u is positive. u**(-1200) Simplify (h*h*h**(-3/5)/h)**(-33)*(h**(-21)*h)**(-1/66) assuming h is positive. h**(-2128/165) Simplify t**7*t**6/t*t*(t/t**4)**(-31) assuming t is positive. t**106 Simplify (((v**0)**(1/11))**33)**(4/7) assuming v is positive. 1 Simplify (((p/(p**(2/3)*p)*p)/p)/(p**(-7)/p*p)*(p**8/p)/(p*p*p**0))**(-3/4) assuming p is positive. p**(-17/2) Simplify (i*(i/(i**(-5/3)/i))/i*i)/(i/i**(1/7))*i**(-2)/i**(1/4) assuming i is positive. i**(131/84) Simplify (((((t**2/t)/t*t)/t)/t)**39/(t/t**(-2/7)*t*t/(t*(t**2/t)/t)*t))**(-2/5) assuming t is positive. t**(592/35) Simplify (b**(-1/3)/(b*b/b**(-1/2)))/((b*(b/(b*b**(-1/6)*b))/b*b*b)/b)**6 assuming b is positive. b**(-23/6) Simplify (((r/(r**(-2/19)*r))/r)/r)**(-13)*(r**(-3)/r*r)**(-35) assuming r is positive. r**(2463/19) Simplify ((s**(2/3)/s)**(-22)*(s/s**(-1/2))/(s*s**(-7)*s))**(-41) assuming s is positive. s**(-3403/6) Simplify (l**(13/4)/l**(-6))/(l**6/l*l*l/(l*l*l/(l/(l**(-9)*l))*l)) assuming l is positive. l**(-11/4) Simplify s**(1/10)*s/(s/((s*s/(s*s**(-1/57)))/s))*(s/s**(-1/10))**(-2/27) assuming s is positive. s**(37/1026) Simplify ((z*z/(z*z**(-2/3)/z*z)*z)/z**(2/27))/(z/(z*z**(-2/21)))**(-2/17) assuming z is positive. z**(8366/3213) Simplify (((y**(-25)*y)/(y*y**(-18)/y))**(1/21))**34 assuming y is positive. y**(-68/7) Simplify (o*o/(o*o**(-2/5)/o))**(26/5)/((o*o/o**(2/11))/o)**34 assuming o is positive. o**(-4218/275) Simplify (q*(q**(-8/3)/q)/q*q*q)**(6/23)*(q**(9/8)/q)**(-9/13) assuming q is positive. q**(-1247/2392) Simplify c**(2/47)*c**(1/7)*c*(c**(-2/21))**(9/8) assuming c is positive. c**(1419/1316) Simplify ((((s**(-2/11)*s)/s)/s)/s)/s**2*((s/(s**34*s))/s)/s**(-28) assuming s is positive. s**(-123/11) Simplify (m/((m*m/m**(-3/2)*m)/m))**(-21)/(m**(1/7)*m/(m/(m/m**(2/9)*m)*m)) assuming m is positive. m**(6499/126) Simplify (d**8/d)/(d/(d/d**(-6)))*(d*d*(d/(d**10*d))/d)/d**4 assuming d is positive. 1 Simplify (u**4)**9*u/u**(2/11)*u**(-1/5) assuming u is positive. u**(2014/55) Simplify (v**0)**(-21/2)/(v**17*v**(-15)/v) assuming v is positive. 1/v Simplify (w**(-12)/(w/(w*w**(2/13))*w))/((w*w**(-1/5))/w**(-15)) assuming w is positive. w**(-1862/65) Simplify ((j**2*j*j**10)/(j**(-1/3)*j)**(16/3))**(-2/65) assuming j is positive. j**(-34/117) Simplify ((d*(d*d**(-1))/d)/d)**(-17)*(d/(d*d**4))**(4/19) assuming d is positive. d**(307/19) Simplify ((h/(h**(3/5)*h*h))/(h*h**(-4)))/((h*h**(-1/7))/h)**(3/16) assuming h is positive. h**(799/560) Simplify ((u*u**(-7))/(u/(u*u**9)))/((u*u**(-13))/(u*u/u**28)) assuming u is positive. u**(-11) Simplify (j**0*j/j**(-4/11))**(9/8) assuming j is positive. j**(135/88) Simplify i/(i/i**(-11))*i*i**(-2/73)*(i*i/(i/(i**(-20)*i*i))*i)**20 assuming i is positive. i**(-24092/73) Simplify ((a**(2/3))**(-5)/(a**(-1))**(-1/38))**(-5/4) assuming a is positive. a**(1915/456) Simplify w**(-2/21)/(w*(w**19*w)/w*w)*(w**(-6))**(1/26) assuming w is positive. w**(-5822/273) Simplify (u*u**5)**(-6/17)/((u/(u*(u**(1/18)/u)/u*u))/(u/u**14)) assuming u is positive. u**(-4915/306) Simplify (b**16*b*(b*b/(b/b**(4/5)))/b)/(b**(-9)*b*b/((b*((b*b/(b/(b/((b/(b*b/b**(-1/10)))/b)))*b*b)/b)/b*b)/b)) assuming b is positive. b**(299/10) Simplify (z/z**(13/4))/z*z**(-2/11)/z*(((z*z**(20/7))/z*z)/z)/(z*z**(-18)/z*z) assuming z is positive. z**(4751/308) Simplify ((f**7*f)/f)**(17/3)/(f/((f*f/(f*f*f**(2/21)*f))/f)*f*f**1*f*f) assuming f is positive. f**(228/7) Simplify y/y**31*y**(-2/7)*(y**(4/7)*y*y)/y*y/y**(-25) assuming y is positive. y**(-19/7) Simplify (l**22*l**(1/40)/l)**3 assuming l is positive. l**(2523/40) Simplify (d*d/d**(-1))**(2/51)/((d*d**(-8)*d*d)/(d/(d/(d/d**2)*d))) assuming d is positive. d**(53/17) Simplify (s/(s*s*s**(3/14)*s))/(s*s**(2/21)*s*s)*((s/(s/((s*s**7/s*s)/s)))/s)**(-14/3) assuming s is positive. s**(-1399/42) Simplify ((o*o**1*o*o)/o**(3/4))**(2/11) assuming o is positive. o**(13/22) Simplify (j/j**(-2/3))**33*j**(-6)/(j*(j**(2/25)/j)/j*j) assuming j is positive. j**(1223/25) Simplify (v**(12/13)*v*v**(3/5)*v)/(v*v/v**(2/15)*v**(2/3)) assuming v is positive. v**(193/195) Simplify (((u/((u/u**3)/u*u))**35)**(-1/51))**(1/30) assuming u is positive. u**(-7/102) Simplify (q/q**(2/29)*q)**(4/5)/(q**(-5))**(25/4) assuming q is positive. q**(19021/580) Simplify g*g/g**9*g*g**(1/7)*g**(-1/6)/(g*g/g**8*g) assuming g is positive. g**(-43/42) Simplify (x**5*x**(-3))/(x/(x**(1/2)*x*x)*x*x/((x**(-5/3)*x*x*x)/x)) assuming x is positive. x**(11/6) Simplify (u**(2/19))**32/((u/u**(1/5))/((u*u/(u*u**(-28)))/u)) assuming u is positive. u**(2904/95) Simplify (((a**(-2)/a)**14)**(-3/28))**30 assuming a is positive. a**135 Simplify (y**0*y**(-14))/(y*y**0)**34 assuming y is positive. y**(-48) Simplify (g**(-31)/g*g)/(g*g**31/g*g)*(g**(-1/10)/g)**(-48) assuming g is positive. g**(-51/5) Simplify (t**(-1))**(-1/4)*t**(-8)/t*t/t**(-6) assuming t is positive. t**(-7/4) Simplify (c**2)**(-31)*(c**(-1/4)*c)**(-8/15) assuming c is positive. c**(-312/5) Simplify (m/(m*m**(-4/5)*m*m))**0*m*m**18*m**16 assuming m is positive. m**35 Simplify (c**(-2/9))**(-8)*c**12/c**10 assuming c is positive. c**(34/9) Simplify (g*g*g/(((g/(g/(g**(2/11)*g)))/g)/g))**(-23)/(g**8*g**(2/7)*g) assuming g is positive. g**(-7477/77) Simplify (((k**(-1)/k)/k)**(-10/9)/((k*k**(1/6)*k*k)/k**(10/7)))**(-13) assuming k is positive. k**(-871/42) Simplify ((l**5*l)/l)**(-5/8)*(l**(5/2))**(-15/2) assuming l is positive. l**(-175/8) Simplify (h/(h/(h*((h/h**(-21))/h)/h))*h)/(((h/h**(-10))/h)/h)*(h/h**(2/5)*h)/h*h/(h/(h**(1/28)*h)) assuming h is positive. h**(2049/140) Simplify ((z/z**12)/z*z)/(z*z**(-4))*z/z**(2/5)*z**(-11) assuming z is positive. z**(-92/5) Simplify (f**(-4/9))**(-6/7)*f**(2/9)*f*(f**7/f*f)/f assuming f is positive. f**(479/63) Simplify x**(-18)*x*(x/(x/x**22))/x*(x/(x/x**(2/15)))/x**(-19) assuming x is positive. x**(347/15) Simplify (s*s**13)/((s*(s*(s*(s*s**2)/s)/s*s)/s)/s)*(s**4)**(-1/19) assuming s is positive. s**(205/19) Simplify (f*f**(8/5))**(7/9)/(f/(f*f*f*f**7*f*f))**(-1/31) assuming f is positive. f**(2326/1395) Simplify ((u**(-3)/u)/u)**(-3/10)/(u**(-3))**(-6/11) assuming u is positive. u**(-3/22) Simplify (t**(1/14)*(t*t*(t/(t*(t*t**(7/6))/t*t))/t*t)/t*t)/(t**(3/5)*t**13) assuming t is positive. t**(-1438/105) Simplify (l*l**(-4/3))**11*l*l**4/l*l**(4/11)/l assuming l is positive. l**(-10/33) Simplify ((n**(1/7)/n)/n**(-34))/(n**6*(n*n/(n**(13/4)*n))/n) assuming n is positive. n**(851/28) Simplify h**22*h/(h/(((h*((h**(2/9)/h)/h)/h*h*h)/h)/h*h))*(((h**(-2/11)*h)/h)/h)/(((h/(h**6*h))/h)/h) assuming h is positive. h**(2776/99) Simplify (k**(1/2)/k)**(4/7)/((k/k**24)/(k*k*k**(-2/13)*k*k)) assuming k is positive. k**(2417/91) Simplify (m**(1/4))**(-32/5)*m/(m/m**8)*(m*(m*m*m/(m*m/(m**(-5/2)*m))*m)/m)/m assuming m is positive. m**(59/10) Simplify j**7*j*j/(j**(-18/7)*j*j)*j*j*j*j**(-22)/((j**(-15)/j)/j) assuming j is positive. j**(53/7) Simplify (((n**(9/7))**(-4/9))**(-28))**(-28) assuming n is positive. n**(-448) Simplify ((l**(1/2)*l*l/(l/(l*l*l*l/(l/(l**(-2/5)/l)*l)*l*l))*l)/(l**1)**24)**(-17) assuming l is positive. l**(3213/10) Simplify (((r*r/(r/((r*r/(r**(-4)/r))/r)))/(r/(r**(-1)/r)))**(-21/4))**(6/29) assuming r is positive. r**(-126/29) Simplify (p**(-2/11))**(1/42)*(p**2)**(1/11) assuming p is positive. p**(41/231) Simplify (g*g**(-4)/g*g)**(-20)*(g*g**0)**(-2/17) assuming g is positive. g**(1018/17) Simplify (n/(n/n**(-3)*n))**(-2/3)/(n/((n/n**1)/n)*n**3*n) assuming n is positive. n**(-10/3) Simplify (o/o**(-16))**(-11/7)*(o/o**(-27))/o**(-14) assuming o is positive. o**(107/7) Simplify ((((j/((j/(j/(((j*j**(-6)*j*j*j)/j)/j)*j*j)*j)/j*j)*j)/j)/(j/(j*j*j*j/j**(-1/7)*j)))**(2/103))**(-13) assuming j is positive. j**(-1846/721) Simplify (d*d/(d/d**2)*d*((d*d**(-2/17)*d)/d*d*d)/d)/(d**(-6/5)*d*d*d*d*d**(-1/8)) assuming d is positive. d**(2181/680) Simplify u**3*u**7*(u**(-3/7)*u)**(-45) assuming u is positive. u**(-110/7) Simplify (((g**(1/4)/g)**(5/4))**(5/2))**(-10/11) assuming g is positive. g**(375/176) Simplify ((a*a**4)/(a/a**(3
{ "pile_set_name": "DM Mathematics" }
. What is the greatest common divisor of o and y? 31 Suppose -3*q = w - 405, 3*w - 239 - 166 = -3*q. Calculate the highest common divisor of 15 and q. 15 Let s be 30/50 - (-94)/10. Suppose 0 = -4*b - 28 + 388. What is the greatest common factor of s and b? 10 Suppose -2*z + 57 = 13. Let i be 2*z - 3/(-3). Suppose -2*q = -6*q + 60. What is the highest common divisor of q and i? 15 Suppose -d + 19 = -r + 3*r, 5*r - 9 = d. Suppose 0 = -4*p + 12, -v + d = p - 1. What is the greatest common divisor of 15 and v? 3 Suppose 113*m = 103*m + 170. What is the greatest common divisor of 731 and m? 17 Let t(d) = -d**2 - 42*d + 185. Let j be t(-45). Calculate the highest common divisor of 25 and j. 25 Let h be 532/(-6)*(-24276)/833. Calculate the greatest common divisor of h and 152. 152 Let r be (12/(-10))/(1/(-5)). Suppose -j + r*j = 40. Suppose -5 = -y + j. What is the greatest common factor of 13 and y? 13 Suppose -410*d - 417*d = -832*d + 90. Suppose -4*y = -68 - 16. Suppose 0 = l - 2*f - 20 - y, -3*l = f - 137. Calculate the highest common factor of l and d. 9 Suppose -4 = b + 3*b. Let n = 3 + b. Let s(f) = 11*f**2 - 1. Let z be s(1). What is the greatest common factor of z and n? 2 Let i(q) = -11*q + 4 - 5 + 12. Let d be i(-2). Calculate the greatest common factor of d and 3. 3 Suppose -3*l - 179 = -5*z, 3*z - 2*l = -0*l + 108. Let v = -5 + 8. Suppose v*n = -2*a - 0*n + z, 5*a + 5*n = 75. What is the highest common divisor of a and 77? 11 Let a(b) = b**3 + 13*b**2 + 16*b + 211. Let g be a(-10). What is the highest common divisor of g and 91? 13 Let s(m) = -m**3 + 4*m**2 + 5*m + 6. Let i be s(5). Let c be 4 - 1/((-1)/(-2)). Let u be c/(-4)*(0 - 48). What is the greatest common factor of u and i? 6 Let j(l) = 1 + 0 + 177*l - 2. Let b be j(1). Let r be 352/(-24)*(-15)/10. Calculate the greatest common divisor of b and r. 22 Let g = 20 + -18. Suppose -v = -g*v + 3. Let f be -2 - (v + -4 + -6). What is the highest common divisor of f and 45? 5 Suppose 0 = 2*v - 4 - 6. Suppose -v*r + 9 = -36. What is the highest common factor of r and 45? 9 Let n be ((-3290)/(-6))/(5*1/15). What is the greatest common factor of 35 and n? 35 Suppose -5*s - 13 + 18 = 0. Let v = -32 + 33. Calculate the highest common divisor of v and s. 1 Let z be (4/(-12))/(1/(-6)). Let x(c) = -c**3 + 6*c**2 + 10*c + 1. Let k be x(7). Suppose 5*a = 4*a + k. What is the greatest common divisor of z and a? 2 Let g be ((1 - -1) + -7)/((-5)/2). Suppose -100 = -4*z + 4*s, -40 = z - g*z - 2*s. What is the greatest common divisor of 45 and z? 15 Suppose 4*s + 20 = 0, 25*s = 3*r + 28*s - 51. Calculate the highest common divisor of 110 and r. 22 Suppose 2*u - 636 = 372. Suppose -y + 3*y + u = 4*l, -5*l = -4*y - 1002. Let z = y + 402. Calculate the greatest common divisor of z and 22. 22 Suppose n - 3 = 0, n = 4*m - 1049 + 216. Suppose -32*z + 849 = 241. Calculate the greatest common divisor of m and z. 19 Let h(t) = -4*t - 14. Let c be h(-4). Suppose 3*b = 5*m - 260, -156 = -5*m + c*m - 2*b. Calculate the greatest common factor of m and 468. 52 Let s(p) = p**2. Let q = 1 - 4. Let c be s(q). Suppose -4*d + 0*r = 3*r - 21, -5*r = -4*d - 3. Calculate the greatest common divisor of c and d. 3 Suppose 17*k - 182 - 73 = 0. What is the greatest common divisor of 1065 and k? 15 Let m(r) = 5*r**3 + r**2 + 6*r - 8. Let a be m(5). Suppose -23*q = -30*q + a. What is the greatest common divisor of 6 and q? 6 Let g be (-8)/((-56)/21) + 186. Calculate the greatest common divisor of g and 27. 27 Let t(r) = r**2 + 11*r + 19. Let h be t(-8). Let s(d) = 4*d**2 - d - 1. Let x be s(h). What is the greatest common factor of 13 and x? 13 Let t be -4 + -8 + (35 - -11). What is the highest common divisor of t and 2176? 34 Suppose y = 4*y - 408. What is the greatest common factor of y and 8? 8 Let x = 100 + 25. Suppose 2*o - x = -3*o. What is the highest common factor of o and 100? 25 Suppose -3*r + 144 = 4*j, -4*r + 206 - 14 = 3*j. What is the greatest common divisor of r and 3? 3 Let b(o) = -o**3 - 8*o**2 - 38*o - 359. Let w be b(-9). Suppose 3*r - n - 36 = -5*n, 0 = -5*r + 4*n + 92. What is the greatest common divisor of r and w? 16 Suppose 0*o = -2*o + 8. Suppose 43 = 9*u + 7. Calculate the highest common factor of u and o. 4 Suppose 650 = o - 5*z, 4*o = 3*z - 473 + 3107. What is the greatest common divisor of 6 and o? 6 Let s(j) = 12*j - 9. Let v(k) = k**2 + 48*k - 37. Let i(p) = -9*s(p) + 2*v(p). Let n be i(8). Calculate the greatest common factor of n and 13. 13 Let h be 67 + (-6 - 9)/3. What is the greatest common divisor of h and 899? 31 Let k(x) = -x**2 + 3*x - 3. Let w be k(4). Let y = -3 - w. Let h = 54 + -26. Calculate the greatest common factor of h and y. 4 Suppose -2*s + 51 + 113 = 0. Calculate the highest common factor of 328 and s. 82 Suppose 4*h = -h + 20. Let t be 47 - (-3 + h + -2). Calculate the highest common divisor of t and 8. 8 Suppose 4*f - 80 = -f. Calculate the highest common factor of 848 and f. 16 Suppose 4*s - 5*c + 2*c = 73, -2*s + 5*c = -19. Let g be ((-1474)/134)/(2/(-10) + 0). Calculate the greatest common divisor of g and s. 11 Suppose d = 6*d. Let p be (1 - 0/(-4))*(9 + d). Let f(z) = z + 9. Let a be f(-6). What is the greatest common divisor of p and a? 3 Let z be 4/(-14) - 2*(-8133)/42. What is the greatest common divisor of 9 and z? 9 Let k = 53 - 29. What is the highest common factor of 156 and k? 12 Let i = -1 + 10. Let h(g) = g**2 - 4*g - 6. Let b be h(6). What is the highest common factor of b and i? 3 Let c(a) = -a**3 + 3*a**2 - a + 7. Let i be c(3). Suppose 0*g - i*v - 40 = -g, 5*v = -5*g + 175. Calculate the greatest common factor of 18 and g. 18 Suppose 87 = 4*l + 15. Let g = -10647 + 10845. What is the greatest common divisor of l and g? 18 Suppose -2*z + 3*q + 201 - 72 = 0, -3*q + 135 = 2*z. Calculate the highest common divisor of z and 858. 66 Let s be (23/2)/(3*2/12). Calculate the highest common divisor of 92 and s. 23 Suppose 10 = 5*f + 2*n - 66, 0 = -f - 4*n + 8. What is the highest common factor of 40 and f? 8 Let n(h) = -2*h**3 + 2*h**2 - h + 2. Let w be n(-3). Let k = w + -35. Calculate the highest common divisor of 63 and k. 21 Suppose -1 + 5 = 2*t - 5*a, -t + 4*a = 4. Suppose -5*b - t = -4*l - 5, -b + 4*l = 11. Calculate the greatest common divisor of b and 4. 1 Suppose -2*l + 7 = 2*r - 21, -2*l + 37 = 3*r. Let o = 681 - 672. What is the highest common factor of o and r? 9 Let h = 855 + -594. Calculate the greatest common factor of h and 58. 29 Suppose t - 62 - 640 = 5*m, -5*m = 2*t - 1389. What is the highest common divisor of t and 205? 41 Let t be 34/10 + 2/(-5). Let c(n) = 2 + 144*n - 5 - 133*n. Let f be c(t). Calculate the highest common divisor of 12 and f. 6 Suppose -10*y + 49 = 29. Calculate the greatest common divisor of y and 9. 1 Suppose -3*j - 5*h - 2152 + 6035 = 0, -5 = 5*h. Calculate the highest common factor of 81 and j. 81 Let c(l) = 2*l**2 - l. Suppose 39 = 4*r + 3*x, -3*r + 26 = -2*r + 4*x. Let h be c(r). What is the greatest common divisor of 99 and h? 33 Let g be (27 + -117)*3/(-6). Calculate the highest common factor of 342 and g. 9 Let g be (-748)/(-51) + 2/6. Let i = -13 + 19. Calculate the greatest common factor of i and g. 3 Let x(s) = 90*s. Let o be x(2). Let u be (-2 + 0 + 1)/((-21)/399). Let y be u + -1 - -1*4/2. What is the greatest common factor of y and o? 20 Suppose -3*s = -u - 2310, -s + 0*s = 2*u - 763. Suppose -5*d - 139 = -s. What is the greatest common divisor of d and 14? 14 Suppose 2 = 3*p + 4*x, 7 = -p + 4*p - x. What is the highest common divisor of 58 and p? 2 Let x(b) = -5*b**2 - 23*b - 9. Let f be x(-6). Let q = 3 - f. Calculate the highest common factor of q and 72. 18 Let p(m) = -m**2 + m - 2. Let z be p(0). Let q(n) = -5*n. Let v be q(z). What is the highest common factor of 25 and v? 5 Suppose 2*b - 5*c - 39 = b, 0 = -3*b + 5*c + 67. What is the greatest common factor of b and 35? 7 Suppose -78*g + 80*g - 20 = -5*v, -4*g - 4*v + 40 = 0. Calculate the highest common factor of g and 995. 5 Let n = 11 - -11. Let a = -1773 - -1806. Calculate the highest common divisor of a and n. 11 Let w = -1723 + 1898. What is the greatest common divisor of w and 105? 35 Suppose -3*v + 0*t = 4*t - 56, 5*t = 3*v - 38. Suppose 0 = 64*
{ "pile_set_name": "DM Mathematics" }
= b - -56. Is r a multiple of 5? False Let a(d) = d**3 + 10*d**2 - 3*d - 11. Is 5 a factor of a(-10)? False Let c = -1 + -38. Let k = c - -74. Let d = k - 18. Is d a multiple of 17? True Suppose 48 = y - 0*y. Is 16 a factor of y? True Let v(h) = 4*h**2 + 2. Suppose 3*k = -4*q + 28, -3*k = 2*q + k - 24. Let s be (-1)/(-2)*q*-1. Is v(s) a multiple of 6? True Let p(f) = -f + 1. Let d be p(-3). Suppose d + 4 = 2*v. Does 3 divide v? False Let c(j) = -j. Let l be c(2). Let m = -3 - l. Is 6 a factor of (-178)/(-10) + m/(-5)? True Suppose 0 = 2*s + 31 - 247. Does 18 divide s? True Let r be (0 - 0)*1/(-1). Suppose r = n - 5 + 1. Suppose -n*v - 18 = -7*v. Is 3 a factor of v? True Suppose -4*d + 6 = 3*v - 25, -2*v + 3*d + 49 = 0. Let y = v + 19. Is 10 a factor of y? False Suppose -19 = -2*q + 4*f + 27, q = 4*f + 13. Suppose 2*y - 2*h + 11 = y, h + q = -5*y. Let k(g) = g**2 + 3*g - 2. Does 11 divide k(y)? False Is 15 a factor of ((-984)/(-20))/((-16)/(-40))? False Is 9 a factor of 17 + (2 - 4 - 1)? False Let b = -25 - -144. Is b a multiple of 7? True Suppose 3*v - f - 224 = 0, 5*v = f + f + 374. Does 8 divide v? False Let f = -75 + 130. Suppose -5*j = x - f, 2*x + 3*x = 25. Does 5 divide j? True Let z be 3/(-2) + 7/14. Does 22 divide (z/(-1))/((-3)/(-129))? False Let r(a) = -10*a + 1. Let z be r(4). Let w be (-1)/((-75)/z - 2). Suppose -88 = -5*v - w. Does 5 divide v? True Suppose -6 = -a + 2*h, 3*a - 3*h + 0 = 12. Suppose 10 = 2*d - 2*y, y - a*y = 2. Is d even? False Suppose -t - 2*o + 2 = 0, t - 3 + 1 = o. Let z(h) = 2*h**t + 2 - 3 - h - h**2. Is 13 a factor of z(-5)? False Suppose 2*j = -3 + 1, -4*j - 24 = -4*h. Suppose 3*z - 92 = -5*q, -h*z - 28 = -2*q - 233. Is z a multiple of 13? True Suppose -3*y = -3*n - 627, -y + 101 + 124 = -5*n. Is 41 a factor of y? True Let r(d) = 6*d + 5. Let v be r(5). Does 5 divide (1*10)/(14/v)? True Suppose -26 = -q - 4*n + 34, 0 = 4*q - 2*n - 312. Does 20 divide q? False Let b = -16 + 34. Suppose -2*z + b = -2*h, z = -3*z + 3*h + 38. Does 4 divide z? False Suppose -5*f - 19 = 3*h, 3*f = -0*f + 5*h + 9. Is 5 a factor of 3*(f - 44/(-12))? True Let f(y) = 4*y**2 + y - 7. Let z be f(3). Let p = z + -23. Is 3 a factor of p? True Suppose -h + 2 = 0, 4*p + 2*h + 3*h = 550. Does 10 divide p? False Let b(f) = 2*f**2 + 3*f + 1. Does 6 divide b(-3)? False Let c = 15 - 30. Is 24/10*(-200)/c a multiple of 16? True Suppose z - 267 = -2*z - 4*j, 158 = 2*z - 4*j. Is z a multiple of 8? False Suppose 2 = n - 104. Does 5 divide n? False Let g be (-1 - -21)*(-4)/(-8). Let b = 11 + g. Does 8 divide b? False Let h = -23 - -29. Is h even? True Let h be ((-24)/(-9))/((-4)/(-6)). Suppose 3*i - h*i = -8. Suppose -2*t - i = -3*t. Is 7 a factor of t? False Let d(y) = 10*y**2 - y. Let j be d(1). Suppose -2*g + 1 + j = 0. Suppose 0 = 2*i - g - 43. Is i a multiple of 12? True Let z(l) = -2*l - 11. Let u be z(-8). Suppose 2*a + 6 = u*a. Suppose a*v - 12 = v. Is 12 a factor of v? True Let j = -1 - -3. Suppose 0 = a + 2*a + 9, 81 = j*p + 5*a. Does 16 divide p? True Let i(b) = 2*b**2 - 1. Let f be i(-2). Suppose -f*n + 295 = -2*n. Is 22 a factor of n? False Let j(b) = -b**2 + 11*b - 1. Let p = 11 + -3. Is j(p) a multiple of 8? False Suppose -2*h - h - 3*k = -69, 5*k + 77 = 3*h. Let p = h + -16. Is 3 a factor of p? False Suppose -6 + 2 = -z. Suppose g + z*l = 24, -2*g + 5*l = 3 + 1. Is 3 a factor of g? False Let w(p) = p + 25. Let g be w(0). Let d be ((-18)/(-8))/((-3)/(-12)). Suppose -d = -c + g. Does 17 divide c? True Let y(c) = 33*c - 1. Let n be y(2). Suppose -3*h = 4*r - n + 11, -4*h = -r - 53. Is 14 a factor of h? True Let p(u) be the second derivative of u**3 + 20*u**2 + u. Let n(v) = 7*v + 40. Let s(d) = -5*n(d) + 6*p(d). Is s(0) a multiple of 17? False Let l be (-3)/(6/(-8))*2. Suppose -5*r + l = -2. Suppose -r*a = -3*f - 0*a + 113, -3*f + 106 = 5*a. Is 13 a factor of f? False Let h(r) = -5*r - 11. Is h(-10) a multiple of 13? True Suppose 4*l - 56 = 5*l. Let y = l - -100. Suppose -5*u + 38 = 5*q - 2*u, u = 4*q - y. Is 6 a factor of q? False Let n(j) = -j**3 - 3*j**2 - 3*j - 1. Suppose -3*w + 105 = -75. Let k be 6/(-5)*w/18. Is n(k) a multiple of 10? False Suppose 4*b + y - 3*y + 6 = 0, 15 = 4*b + 5*y. Let w be (-1 + (-78)/12)*4/(-6). Is 3*7 - b/w a multiple of 14? False Does 2 divide (-1)/((-1)/((-18)/(-2)))? False Let v be 1/((-1)/2) - -94. Let s(m) = 14*m**3 + 2*m - 3. Let w be s(2). Suppose -w - v = -5*l. Does 11 divide l? False Let o(r) = -r**2 + 5*r - 1. Let m be o(4). Let q be 1/(2 - m)*0. Suppose 2*c - 3*c + 18 = q. Is 13 a factor of c? False Suppose 5*j + 3*t - 105 = 0, 3*t + 82 = 2*j + 19. Is j a multiple of 8? True Let d(n) = n**2 - 6*n - 8. Let k be d(7). Is (-765)/(-35) + k/(-7) a multiple of 22? True Let b = -322 + 455. Is b a multiple of 19? True Suppose -z - 51 - 109 = -3*h, 4*h = 3*z + 215. Suppose 2*x + 3*w - h = 50, 0 = 4*x - 5*w - 195. Is 15 a factor of x? False Suppose -7*q - 5*t = -2*q - 20, 5*t - 13 = -4*q. Let u = q + 61. Is u a multiple of 24? False Is 10 a factor of 9/(-6) + (-321)/(-6)? False Let t(p) = -30*p**3 + p**2 + 3*p + 2. Is 10 a factor of t(-1)? True Let f(o) = o**3 + 2*o**2 - 3*o. Let s be (-6)/1*2/4. Let u be f(s). Let n = u + 8. Is 4 a factor of n? True Suppose 5*l = -5*d - 720, 2*l - 582 = 4*d - 0*l. Is d/(-7) + (-6)/(-21) a multiple of 6? False Let n(w) = 4*w. Does 8 divide n(6)? True Suppose -5*r - 1 = 3*v - 3, -2*v + 5*r = -43. Is 4*v - (2 - 3) a multiple of 11? False Let b = 57 - 13. Is b a multiple of 7? False Let d = 0 - -2. Suppose d*z = -z. Is 4 a factor of z + 2 + -3 - -5? True Suppose p + 3*p = -40. Let q = -27 + 11. Is 5 a factor of p/8*q/2? True Let f = -38 - -58. Is f a multiple of 8? False Let y(t) be the second derivative of -t**5/20 + 5*t**4/6 + t**3/3 - 7*t**2 + t. Is y(10) a multiple of 6? True Let a = -20 - -42. Let k = 39 - a. Let p = 1 + k. Is 9 a factor of p? True Suppose 61 + 28 = n. Let z = n + -51. Is 13 a factor of z? False Suppose 4*q = -0*q - 4*w + 400, -2*w = -3*q + 275. Is q/10 - (-1)/(-2) a multiple of 2? False Suppose 1241 = 4*h - 3*k, -4*h - 4*k + 3*k = -1229. Is h a multiple of 14? True Let x = 20 + -35. Let j be -4*x/(-6) - -2. Does 13 divide j/6*(-21)/2? False Let t(z) = 2*z**3 - 4*z + 3. Let f be t(2). Let k(a) = 5*a - 11. Is 13 a factor of k(f)? False Suppose -5*r - 97 = -4*t, 4*t = 3*r + r + 92. Suppose -t = -4*j - 2. Is j a multiple of 2? True Let q be ((-6)/4)/(3/(-8)). Suppose -4*x + 94 = 5*p, -q*p + 2*x = -p - 52. Is p a multiple of 6? True Suppose -3*w + 23 = y + w, 5*y = -5*w + 40. Suppose -l + 18 = -y*i - 4*l, -5*i - 12 = -4*l. Does 4 divide i/(-1*2/5)? False Let z(s) = s**2 + 13*s - 30. Does 12 divide z(-22)? True Suppose 2*j - 62 - 106 = 0. Does 50 divide j? False Suppose 4*v + 0*v - 8 = 0. Is -11*v*5/(-5) a multiple of 9? False Let c(a) = -a**2 - 1. Let k(t) = -13*t**2 - 3*t - 4. Let q(o) = 5*c(o) - k(o). Let v be q(-3). Suppose -3*u - 2*b = -v, 4*u + 2*b - 85 = -3*b. Does 20 divide u? True Suppose 2 + 2 = 2*o. Suppose -k - 2 = -2*k, -3*m + o*k = -116. Does 11 divide m? False Suppose 5*t + 145 = v, -2*v + 6*v - 3*t = 631. Suppose -2*o - 2*o = -v. Does 18 divide o? False Let o(d) = 10*d**2 + 2*d + 1. Let j be o(-2). Let p = -13 + j. Is 11 a factor of p? False Let p(x) = -x**3 - 6*x**2 + 6*x + 3. Suppose 6*i + 21 = 3*i. Is 5 a factor of p(i)? True Let w be (-1)/((2/5)/(-2)). Suppose 0*h = -4*h - w*b + 111, 2*b - 24 = -h. Is 17 a factor of h? True Let a(t) = 17*t**2 + t. Suppose 5*s - 15 = 5*x, -2*x - s = -0*s - 6. Is a(x) a multiple of 18? True Let i be 2/(3 + (-1 - 1)). Suppose -i*c - 3 = -3*c. Suppose -c*u = 10 - 43. Is 8 a factor of u? False Is 3*(5/((-30)/(-152)) + -1) a multiple of 18? False Suppose 4*q + 54 = 10*q. Does 2 divide q? False Let j(i) = 5*i**2 + 2*i - 2. Let f be j(-3). Suppose -168 - f = -5*b. Is b a multiple of 23? False Let x(n) = -n**3 + 17*n**2 + 21*n + 11. Is 5 a factor of x(18)? True Let c = 68 - -203. Let g = c + -174. Does 21 divide g? False Suppose 0*k = -4*k. Suppose k*c = 5*c - 250. Is c a multiple of 19? False Let q = 5 - 5. Suppose 0 = -2*g - q*g + 16. Is g a multiple of 2? True Let q(o) = 6*o**3 - 7*o**2 + o + 10. Let r(i) = -5*i**3 + 7*i**2 - i - 9. Let g = 8 + -13. Let l(j) = g*r(j) - 4*q(j). Is l(7) a multiple of 6? True L
{ "pile_set_name": "DM Mathematics" }
3/14*i**4 + 0*i**2 + 2*i - 1/49*i**7. What is p in w(p) = 0? -3, -1, 0, 2/3, 3 Let r(n) be the first derivative of -n**3/8 + 153*n**2/16 + 105*n - 2953. Factor r(o). -3*(o - 56)*(o + 5)/8 Let l(o) = 5*o**2 + 11*o - 12. Let m be l(1). Let f(r) = -4*r**3 + 14*r**2 + r - 31. Let u(b) = -b**3 + b**2 + b + 1. Let i(x) = m*f(x) - 20*u(x). Factor i(k). 4*(k - 2)*(k + 2)*(k + 9) Let p(k) = k**2 - 1300*k + 24341. Let d be p(19). Find q such that 2/13*q**4 - 8/13*q**3 + 0*q + 0*q**d + 0 = 0. 0, 4 Let g(m) be the third derivative of -m**8/420 + 2*m**7/25 + 169*m**6/150 - 63*m**5/25 - 4*m**2 - 1163. Suppose g(r) = 0. What is r? -7, 0, 1, 27 Determine g, given that 2/5*g**2 + 1036/5*g + 134162/5 = 0. -259 Let r(f) be the first derivative of -32*f**3/3 - 79*f**2 + 10*f - 2536. Factor r(c). -2*(c + 5)*(16*c - 1) Factor 4/7*a**3 + 18/7*a**2 - 20/7*a**4 + 2/7 - 13/7*a + 9/7*a**5. (a - 1)**3*(a + 1)*(9*a - 2)/7 Let w = 1/320978 + 458539/320978. Suppose w*g - 8/7*g**2 + 0 - 2/7*g**3 = 0. What is g? -5, 0, 1 Suppose 30*d - 27*d = -q - 15, 4*d + 19 = -q. Let m(o) = -40*o**2 - 452*o - 88. Let l(f) = 41*f**2 + 451*f + 86. Let u(y) = d*l(y) - 3*m(y). Factor u(h). -4*(h + 10)*(11*h + 2) Let r(v) be the second derivative of -2/15*v**3 + 2 + 1/30*v**4 + 1/50*v**5 + 0*v**2 + 22*v. Solve r(x) = 0. -2, 0, 1 Let b(v) be the third derivative of -v**6/960 + 107*v**5/240 - 635*v**4/192 + 211*v**3/24 + 5*v**2 - 59*v. What is o in b(o) = 0? 1, 2, 211 Let l(a) = 3*a**3 - 44*a**2 + 29*a + 3. Let r be l(14). Suppose 0*p + r*p = 9*p. Find s, given that -2*s**2 + 16/3*s**3 + 0*s + p = 0. 0, 3/8 Solve -97/3*z + 1/3*z**2 - 66 = 0. -2, 99 Find x, given that 0 - 411019*x**2 - 2 - 357965*x**2 - 7137*x - 91765424*x**3 + 4989*x = 0. -1/358 Let a be 76*1/18 - (-4)/(-18). Factor -5*k**2 + 0*k + 0*k**2 + k**2 - a*k. -4*k*(k + 1) Let k(i) be the second derivative of 5/42*i**4 + 3/7*i**2 + 1/3*i**3 + 1/70*i**5 + 0 - 98*i. Solve k(n) = 0 for n. -3, -1 Let p = 14/1693 - -4099/118510. Let r(q) be the third derivative of q**3 + 0*q + p*q**7 - 47/120*q**6 + 0 + 73/60*q**5 - 41/24*q**4 + 29*q**2. Factor r(g). (g - 3)*(g - 1)**2*(9*g - 2) Factor 1002/5*h + 251001/5 + 1/5*h**2. (h + 501)**2/5 Let g be 2/(-3) - 1 - (-1173)/153. Let a be 210/180*g/28. Factor 0*l**2 - a*l**3 + 0 + 1/4*l. -l*(l - 1)*(l + 1)/4 Factor 14759 - 185884 - 35*w**3 - 495*w**2 - 45*w**3 - 18742*w + 2647*w + 75*w**3. -5*(w + 25)*(w + 37)**2 Let z be 56/(-70) - (-10216)/(-180). Let w = 718/9 + z. Factor 2/9*p**2 + w + 40/9*p. 2*(p + 10)**2/9 Let w(b) be the third derivative of 0*b**7 - 1/336*b**8 + 0 - 5/2*b**4 - 2*b - 12*b**3 + 16*b**2 + 1/6*b**5 + 1/8*b**6. Factor w(q). -(q - 3)**2*(q + 2)**3 Factor -2/3*b**2 - 176/3 + 52/3*b. -2*(b - 22)*(b - 4)/3 Let p(j) = -18*j**2 - 2359*j + 2338. Let t(d) = -8*d**2 - 1178*d + 1168. Let u(a) = 6*p(a) - 13*t(a). Suppose u(n) = 0. Calculate n. 1, 289 Let a(k) be the second derivative of -k**7/189 - 2*k**6/135 + 8*k**5/45 + k**4/27 - 5*k**3/9 + k - 118. Determine c, given that a(c) = 0. -5, -1, 0, 1, 3 Let m(d) be the second derivative of 4*d**4/3 + 2354*d**3/3 - 1770*d**2 + 7874*d. Factor m(c). 4*(c + 295)*(4*c - 3) Suppose -u + 19 = l + 1, -21 = -2*l - 5*u. Suppose 7*n - l - 26 = 0. Factor 8 - 40*v + n*v**2 - 5*v**4 + 7 + 23*v**2. -5*(v - 1)**3*(v + 3) Let c = -40 + 40. Let q(y) be the third derivative of 1/1050*y**7 + 0*y**3 - 1/300*y**6 + 0*y**4 + 20*y**2 + 0*y + c + 1/300*y**5. What is a in q(a) = 0? 0, 1 Suppose -q + o - 32 = -6*q, -4*q - o = -26. Let v = q + 3. Factor v*r**2 - 4*r**2 - 4*r**2. r**2 Let t(k) be the first derivative of 4*k**5/25 - 3*k**4/5 + 4*k**3/5 - 2*k**2/5 - 9178. What is a in t(a) = 0? 0, 1 Let z(n) be the first derivative of 2*n**3/27 - 19*n**2/9 - 28*n/3 + 50. Factor z(w). 2*(w - 21)*(w + 2)/9 Let s be ((4823/(-477))/(-13))/(21/36). Suppose s*c + 8/3 + 1/6*c**2 = 0. Calculate c. -4 Factor 0 + 0*p**2 + 0*p - 1/4*p**4 - 14*p**3. -p**3*(p + 56)/4 Let 31*c**4 - 74*c**3 + 31 - 13 + 11*c**4 - 114*c**2 + 118*c**3 + 49*c**3 - 39*c = 0. What is c? -3, -1/2, 2/7, 1 Let z(p) be the second derivative of 0*p**5 - 16*p + 0*p**3 + 1/3*p**4 - 1/15*p**6 + 0 - p**2. Factor z(b). -2*(b - 1)**2*(b + 1)**2 Suppose -3088854*c = -3088842*c - 24. Factor -2/5*t**c + 0*t - 6/5*t**4 - 2/5*t**5 - 6/5*t**3 + 0. -2*t**2*(t + 1)**3/5 Let t(x) be the first derivative of -x**7/126 + x**6/90 + x**5/60 - x**4/36 - 107*x + 157. Let r(y) be the first derivative of t(y). Factor r(w). -w**2*(w - 1)**2*(w + 1)/3 Let z = -41/7248 + 4/151. Let w(p) be the second derivative of -3*p + 5/24*p**3 + 0 + z*p**4 + 1/2*p**2. Let w(o) = 0. What is o? -4, -1 Let a be -3 - -2 - (-663)/612. Let f(p) be the second derivative of 0 + 1/3*p**3 + a*p**4 + 0*p**2 - 11*p - 1/20*p**5. Factor f(d). -d*(d - 2)*(d + 1) Let q(i) = -i + 21. Let n(h) = 2*h - 47. Let t(f) = -2*n(f) - 5*q(f). Let j be t(13). Solve -6/5*b - 2/5*b**j - 4/5 = 0 for b. -2, -1 Let r(n) = 3*n**2 + 790*n - 1632. Let b(z) = -z**2 - 398*z + 816. Let d(o) = -5*b(o) - 2*r(o). Suppose d(s) = 0. Calculate s. 2, 408 Let c(x) be the second derivative of x**7/168 - x**6/10 + 23*x**5/80 + 7*x**4/2 - 51*x**3/2 + 54*x**2 - 75*x - 1. Find h such that c(h) = 0. -4, 1, 3, 6 Let o(r) be the first derivative of 28/3*r**3 - 100 - 31/2*r**2 + r**4 + 8*r. Find q such that o(q) = 0. -8, 1/2 Suppose 2*q - 116 = -112. Determine b so that 54*b + q*b**2 - 90*b + 60*b - 26 = 0. -13, 1 Let w(i) be the first derivative of 49*i**5/12 + 35*i**4/12 + 5*i**3/6 + 33*i**2 - 2*i - 96. Let k(m) be the second derivative of w(m). Factor k(q). 5*(7*q + 1)**2 Let y = 747 - 744. Find x, given that -35*x**3 + 40 + 80*x**2 + 108*x - 24*x**4 - 4*x**5 + 56*x**3 - 12*x**3 - 17*x**y = 0. -5, -1, 2 Let 1/6*d**5 + 97/6*d**2 - 11/2*d**4 - 5*d - 32/3 + 29/6*d**3 = 0. What is d? -1, 1, 2, 32 Suppose 2*w - 1529 + 65 = 0. Let a = w + -732. Suppose 3/2*l**2 - 1/4*l**4 + 2*l + 3/4 + a*l**3 = 0. Calculate l. -1, 3 Let b = -68289 - -68292. Determine h so that 7/4 + 15/4*h + 1/4*h**b + 9/4*h**2 = 0. -7, -1 Let w(k) = k**3 + 20*k**2 + 148*k + 117. Let n(t) = -2*t**3 - t + 1. Let v(s) = 3*n(s) + w(s). Find a, given that v(a) = 0. -3, -1, 8 Suppose -x = 5*g - 18695, 3*g + 2*x + 3750 = 4*g. Let k be (-10)/(g/(-77))*(-8)/(-14). Factor 6/17*w**2 + 2/17*w**3 + k + 6/17*w. 2*(w + 1)**3/17 Let f(q) be the first derivative of -q**6/7 + 92*q**5/35 + 16*q**4/7 + 997. Let f(d) = 0. What is d? -2/3, 0, 16 Let s = 9243/15380 + -3/3076. Let g(f) be the first derivative of -40 + 3/5*f**2 - 3/10*f**4 + 3/25*f**5 + 0*f**3 - s*f. Factor g(m). 3*(m - 1)**3*(m + 1)/5 Let y(l) = 6*l**2 + 512*l - 761. Let p(t) = 5*t**2 + 458*t - 762. Let i(z) = 7*p(z) - 6*y(z). Factor i(d). -(d - 128)*(d - 6) Let a(j) be the first derivative of 1/9*j**3 - 126 + 2/3*j**2 + j. Solve a(r) = 0 for r. -3, -1 Let c(h) be the first derivative of -2*h**7/945 - h**6/135 + 7*h**5/135 - 2*h**4/27 + 5*h**2 - 76. Let d(i) be the second derivative of c(i). Factor d(m). -4*m*(m - 1)**2*(m + 4)/9 Let a(b) = b**2 + 9*b - 11. Let q be a(-11). Suppose -q*c**2 + 5*c**2 + 39*c**2 - 13*c**2 + 4*c + 16*c**3 = 0. What is c? -1, -1/4, 0 Let k be ((-1413)/(-5024))/(3/8). Factor 363 - 33*o + k*o**2. 3*(o - 22)**2/4 Let z = -67 + 61. Let f be 4/z + 143/39. Factor f*p**2 + 3*p + 372 - 3*p - 384. 3*(p - 2)*(p + 2) Let z(i) = 3*i**2 - 651*i - 12. Let f(g) = -g**2 + 266*g + 5. Let v(b) = 12*f(b) + 5*z(b). What is r in v(r) = 0? 0, 21 Find q, given that 16*q**3 + 42 - 16*q - 2/3*q**4 - 124/3*q**2 = 0. -1, 1, 3, 21 Let q(s) be the first derivative of 4*s**3/3 + 128*s**2 + 1180*s + 2542. Solve q(z) = 0 for z. -59, -5 Suppose -4*w + 23 = 2*v - v, 5*v = 4*w - 5. Factor -4*t + 26*t**3 - 16*t**2 - 92*t**5 + 96*t**w + 8*t - 16*t**4 - 2*t**3. 4*t*(t - 1)**4 Let 9*x**3 + 42*x**4 - 85*x + 95*x**3 - 8*x**5 - 20*x**2 - 70 - 59*x = 0. What is x? -1, 5/4, 7 Let w = 10/33 - -16/165. Let i be 16/(-21)*(-3066)/1460. Find v such that 8/5 + w*v**2 + i*v = 0. -2 Let c(r) be the first derivative of -r**5/40 - 7*r**4/16 + 29*r**2/2 + 2*r - 34. Let t(x) be the second derivative of c(x). Factor t(p). -3*p*(p + 7)/2 Let d = -105756/5 + 21152. Factor d*j**5 + 0*j + 0 + 4/5*j**2 - 4/5*j**4 - 4/5*j**3. 4*j**2*(j - 1)**2*(j + 1)/5 Let -3*r**3 - r**3 - 9823*r**2 + 19486*r**2 - 136*r - 9739*r**2 = 0. What is r? -17,
{ "pile_set_name": "DM Mathematics" }
h/1*(-1 + 2)? 5 Let q be (6 + 84)*12/10. What is the units digit of q/20 + 2/(-5)? 5 Let o be (-88)/14 - 10/(-35). Let y(d) be the first derivative of d**3/3 + 3*d**2 + 3*d + 1. What is the units digit of y(o)? 3 Let t(y) = 4*y**3 + 1. Let v be t(1). Suppose -2*g - g = -3*n + 81, v*n = 3*g + 125. What is the units digit of n? 2 Suppose -3*y + y + 4 = 0. Suppose -8 = -2*c + y. Suppose -15 = -5*u - 5*r, -2*u + 4*r = -c - 7. What is the units digit of u? 4 Suppose 0*p = -p. Suppose p = -4*k - f + 35, -f = 4*k - 5*f - 40. What is the units digit of k? 9 Let f = -92 - -155. What is the tens digit of f? 6 Let y(n) = 53*n**2 - n. Let m be y(1). Let w = 80 - m. What is the units digit of w? 8 Let k = -32 - -55. What is the tens digit of k? 2 Let z(x) = -x**3 - 5*x**2 + 6*x + 1. Let t = 12 - 18. What is the units digit of z(t)? 1 Let g(d) = 2*d**3 - 2*d**2 - 2*d - 1. Let l be g(-1). What is the units digit of l + (-42)/(-1 + -2)? 1 Suppose -696 = -16*i + 10*i. What is the units digit of i? 6 Suppose 4*p - 7*w - 32 = -3*w, -4*p + 3*w + 27 = 0. Suppose -2*s + 5 = p*s. Suppose o = 4 - s. What is the units digit of o? 3 Suppose 4*i + 3*i = 378. What is the tens digit of i? 5 What is the units digit of (3/6)/((-2)/(-236))? 9 Suppose -d = -57 - 60. What is the tens digit of 2*(d/6 + -2)? 3 What is the tens digit of (-60)/48*-14*2? 3 Let i = 13 + -8. Let y = 6 - i. What is the units digit of y? 1 Let s(w) be the second derivative of w**5/20 + w**4/3 - 5*w**3/6 + 3*w**2/2 + w. Let y be s(-5). Suppose 5*f + y - 63 = 0. What is the units digit of f? 2 Suppose 2*y + 3*y - 70 = 0. What is the tens digit of y? 1 Let w be -6*((-12)/9 - -1). Suppose 0 = -2*m + 3*b + 59, -m - w*b - 3*b + 49 = 0. What is the tens digit of m? 3 Let j be ((-18)/(-12))/((-3)/(-8)). Suppose -j*l = -l - 9. What is the units digit of l? 3 Suppose 5*g = 3*g - 5*r + 6, -9 = -3*g + r. Suppose u + 6 = g*u. What is the units digit of u? 3 Let x = -65 + 114. What is the tens digit of x? 4 Let r = -131 - -286. Suppose -3*v = -8*v + r. What is the units digit of v? 1 Suppose 0 = -5*o + 3 + 7. Suppose -g + 39 = 3*h, -4*g = o*h - 3*g - 26. What is the units digit of h? 3 Let l(k) = -7*k + 1. Let o be l(1). Let z = o + 10. Suppose -24 = -3*j - 3*c, z*j = 2*j + c + 31. What is the tens digit of j? 1 Let f = 78 + -54. What is the tens digit of f? 2 Let a = 24 - 19. Let v be 36/(((-18)/4)/(-3)). Suppose 3*h - 11 = o + a, o + v = 5*h. What is the units digit of h? 4 Let i(z) be the third derivative of -z**5/30 - 13*z**4/24 - 7*z**3/6 - 5*z**2. What is the units digit of i(-5)? 8 Suppose -196 = -10*d + 734. What is the units digit of d? 3 Let j = 45 - 33. What is the tens digit of j? 1 What is the tens digit of (-2)/6 + (-110)/(-6)? 1 Let p(j) = 4*j + 2. Suppose 5*i - 2*i + 37 = -5*r, -2*r - 14 = i. Let v = 7 + i. What is the tens digit of p(v)? 1 Suppose 38 = 3*b + 5. Let y = b - 5. Suppose -3*a + y*a - 24 = 0. What is the units digit of a? 8 What is the units digit of -4 + 36 + 0 - 3? 9 Let b be ((-66)/(-4))/((-15)/(-100)). Suppose -7*g + 2*g + b = 0. What is the units digit of g? 2 Suppose -1011 = -5*r - 4*n, -r + 3*n + 206 = -0*n. What is the units digit of r? 3 Let w(g) = g**2 - 4*g - 10. Let j be w(-4). Let u = -11 - -7. Let c = j + u. What is the tens digit of c? 1 Let l(q) = -q**3 + 10*q**2 - 9*q + 3. Let n be l(9). Let s(t) = -4 - 2*t**3 + t**3 + 4*t + 0*t**3 + 3*t**2. What is the units digit of s(n)? 8 Let p = 24 + -9. Suppose 0 = -t + p - 3. What is the units digit of t? 2 Suppose 0 = 3*v - 2*v - 34. Let d = v + -21. What is the units digit of d? 3 Let l = 39 + -22. Suppose 0 = -5*f + 5, 4 = -r - f + l. What is the tens digit of r? 1 Suppose -t = -3 - 0. Let p be ((-16)/3)/(3/(-9)). Suppose 4 = -t*g + p. What is the units digit of g? 4 What is the units digit of 2/9 - (-14)/18? 1 Let k = 121 - 72. What is the tens digit of k? 4 Suppose 3*g = 4*s - 75, 4*s = 4*g + g + 69. Suppose -2*w + 5*w - s = 0. Suppose -3*l + 23 = -w. What is the units digit of l? 0 Let l(u) = -u**3 + 17*u**2 + 19*u + 20. What is the units digit of l(18)? 8 Suppose -s + 3*q + 195 - 1 = 0, 0 = 5*s - 2*q - 918. What is the units digit of s? 2 Let z = 46 - -48. What is the tens digit of z? 9 Suppose m = 3*m - 12. Suppose 0 = s - m*s + 45. Let k = -5 + s. What is the units digit of k? 4 Let u be (-149)/(-4) + 5 - (-6)/8. Suppose -4*k - 4*p + 3*p + 113 = 0, 3*p = 3*k - 81. Let j = u - k. What is the units digit of j? 5 Let a be ((-8)/3)/((-2)/3). Suppose a*u + 31 = 75. What is the tens digit of u? 1 Let j be 10/5 + (-9)/(-1). Suppose 0 = -2*d - 1 - j. What is the units digit of (-16)/(-3)*(-9)/d? 8 Suppose -2*i + 4*l + 54 = 0, -52 - 17 = -3*i + 2*l. What is the units digit of i? 1 Suppose -5*o - 8 = -38. Let s be (-2)/o + (-26)/(-6). Suppose -3*w - 5*n = -60, s*w - 4*n - 31 = 17. What is the units digit of w? 5 Suppose -2*q = -2*t - t + 33, -3*q = -4*t + 43. Suppose b = -0*b + 2. Suppose b*c - t = 17. What is the tens digit of c? 1 What is the tens digit of (-6)/15 - ((-2588)/(-10))/(-2)? 2 Suppose -3*b = -b - 56. Suppose 0 = -w + 2*z - 27, -w = -z - 3*z + 35. Let j = b + w. What is the units digit of j? 9 Let q = -29 - -72. What is the units digit of q? 3 Suppose -y + 3*z - 3 - 7 = 0, y + 4*z = 18. Suppose 38 = 3*f - y*x, 2*f - 4*x = -f + 40. What is the tens digit of f? 1 Let c(t) = -13*t + 19. What is the units digit of c(-3)? 8 Let x(a) = -22*a**2 + a - 1. Let k be x(1). Let i be (-592)/11 - (-4)/k. What is the units digit of 2/9 - 420/i? 8 Let p be (1/2)/(4/32). Suppose 2*s - 8 = -p*t, -t - 6 = -4*t - 5*s. Let y = 0 + t. What is the units digit of y? 2 Suppose -3*f - 4*k = -145, 9*f = 4*f + 4*k + 295. What is the tens digit of f? 5 Let b(z) = -22*z - 44. What is the tens digit of b(-9)? 5 What is the tens digit of -45*(-2 - ((-16)/3 - -4))? 3 Let l(d) = -d + 11. Let a be l(9). What is the tens digit of ((-40)/(-28))/(a/14)? 1 What is the units digit of ((-10)/6)/((-14)/210)? 5 Let c = 88 + 215. What is the hundreds digit of c? 3 Suppose 10*a + 115 = 15*a. What is the tens digit of a? 2 Let h = -79 - -175. Suppose -4*x + 4*y + h = 0, -3*y + 49 = x + y. What is the units digit of x? 9 Let b(x) be the second derivative of x**5/20 + x**4/2 - x**3/6 + 7*x**2/2 + x. What is the tens digit of b(-6)? 1 Let u(n) = 314*n - 6. What is the units digit of u(1)? 8 Let g be (-3)/4 - (-118)/8. Let f = 8 + g. Suppose -2*y - 4*l + f = 4, 3*y - 21 = -4*l. What is the units digit of y? 3 Let z = -4 - -6. What is the units digit of (6/(-10))/(z/(-10))? 3 Let h = -14 - -22. Let o(t) = -t**2 + 8*t - 12. Let r be o(h). Let b = -6 - r. What is the units digit of b? 6 Let y(w) = w**3 + 10*w**2 - 12*w + 4. Suppose 0 = k - 9 + 20. What is the tens digit of y(k)? 1 Suppose -2*i + 4 = -r - 2, 4*i = -4*r + 24. What is the units digit of i? 4 Let w = 7 + -2. Let v = -3 + w. Suppose s = v*s - 17. What is the tens digit of s? 1 Let p(s) be the first derivative of s**3/3 - 4*s**2 + 10*s + 2. Let y be p(7). Suppose 0 = y*q - 16 + 1. What is the units digit of q? 5 Suppose -3*a = 3*x - 2*x + 4, 5*x - 10 = -5*a. Let z(b) = -4*b. Let u be z(x). What is the units digit of 2*-2*u/8? 0 Let k(t) = 35*t**2 - t. Let n be k(1). Let a = n + -13. What is the units digit of ((-36)/a)/(1/(-7))? 2 Let c(h) = 3*h + 1. Let a = 6 + -10. Let s(n) = -n**2 - 5*n - 2. Let j be s(a). What is the units digit of c(j)? 7 Let j = 101 - 0. What is the tens digit of j? 0 What is the tens digit of ((-1)/(-2))/(1/170)? 8 Suppose -4*s + 202 = -s + l, -5*s + 334 = -l. What is the units digit of s? 7 Suppose -3*j + 611 = -5*p, 191 + 31 = j + 2*p. What is the units digit of j? 2 Suppose 3*a - 226 = -3*z - 2*z, -a - z = -72. What is the units digit of a? 7 Let b(l) = -l**2 - 7*l - 3. Let z(c) = -c**3 - 3*c**2 + 4*c. Let w be z(-4). Let v be -12*2/(4 + w). What is the units digit of b(v)? 3 What is the units digit of 0 - 1 - -1 - (-39 - 1)? 0 Let s = -20 + 50. Suppose -4*b + b - s = 0. What is the units digit of 88/20 + 4/b? 4 Let s(n) = -n**2 - 8*n - 8. Let v be s(-7). What is the units digit of -3*((-10)/6 - v)? 2 What is the units digit of (42 + 2/(-2))*1? 1 Let g = 45 - 25. What is the tens digit of g? 2 Let p = 6 - -8. What is the tens digit of p? 1 Suppose -2*z - 22 = -n + 3*z, 0 = -4*
{ "pile_set_name": "DM Mathematics" }
-2.8 (d) 1 a Which is the fourth biggest value? (a) 69 (b) -5 (c) -130 (d) 1/2 c What is the smallest value in -3/5, -6/41, -4, -3, 1/5? -4 What is the second smallest value in -18, 0, -242/7, 0.2, -1/2, -10? -18 Which is the third biggest value? (a) -0.9 (b) 10 (c) 2/193 (d) 6/13 (e) 2/3 d Which is the biggest value? (a) -0.076 (b) -219 (c) -952 a What is the third biggest value in -2/9, -0.1, 63, 0.2, -0.01? -0.01 Which is the sixth smallest value? (a) 9 (b) 5 (c) 2 (d) -0.04 (e) 50 (f) -1 (g) -19 a Which is the third biggest value? (a) -5 (b) 75 (c) 0.03427 a Which is the smallest value? (a) -2 (b) -14 (c) 1/3 (d) -47678 d Which is the second biggest value? (a) -3 (b) -3/122 (c) -1/18 (d) -1412 c What is the fifth biggest value in -4/5, 160, 17, 1/3, 0.065, -5/2, 0? 0 What is the third biggest value in 1228700, -0.2, 0, 0.06? 0 What is the second biggest value in -521, 4, 38462/13? 4 Which is the fourth smallest value? (a) 6 (b) -2/5 (c) 417 (d) 2/39 (e) -0.02 a What is the second smallest value in 70, -5222, -0.75? -0.75 Which is the fifth biggest value? (a) -0.5 (b) -0.4 (c) -0.2 (d) 0.1 (e) 66 (f) -2/3 (g) 1042 b Which is the sixth biggest value? (a) -3334 (b) 1 (c) 8 (d) 26 (e) 2 (f) -4/5 a Which is the second biggest value? (a) 5/48 (b) 0.4 (c) -0.6 (d) -2/401 (e) 2/7 e What is the second smallest value in 3, -4524, -0.2, -4.38, -3? -4.38 What is the fourth biggest value in -0.06078, -1/6, 24, -2.58? -2.58 Which is the third smallest value? (a) -709 (b) 2/7 (c) 940/13 c Which is the fifth smallest value? (a) -1/3955 (b) 0.3 (c) -3/8 (d) 2 (e) 3 (f) -34 d Which is the third biggest value? (a) -15129 (b) 1 (c) -240 (d) 5/6 c What is the sixth biggest value in 1, -4, -18295, 5, 37/4, -4/9? -18295 What is the fourth biggest value in 3, 58.3, -3491, 4? -3491 What is the second biggest value in -64, 0.0976, -1/2? -1/2 What is the fourth biggest value in -2/3, -0.03, 0.2, -3, 27, -1? -2/3 Which is the second smallest value? (a) 24138 (b) 17 (c) 0.4 b What is the second biggest value in -0.2, 318/25, -0.4? -0.2 What is the biggest value in -1120/3, 3, 0.7, 5/2, 0? 3 What is the second smallest value in 6, -376, 842? 6 Which is the second smallest value? (a) -1/51 (b) 3/70 (c) -2 (d) 3 (e) -51 (f) -4 (g) -0.4 f Which is the fifth smallest value? (a) -5 (b) -1.5 (c) 2 (d) -2 (e) -2/17 (f) -7.4 e Which is the second biggest value? (a) 78/19 (b) 0 (c) -0.3 (d) 17389 a Which is the sixth biggest value? (a) -36 (b) 1/5 (c) -631 (d) -3/4 (e) 3 (f) -12/11 c What is the second smallest value in 0.1, -0.2, -15, -0.1, -2/17, 125? -0.2 What is the smallest value in -41, 8, -2/5, -11/85, -3? -41 Which is the smallest value? (a) -1/3 (b) 8 (c) 1/142 (d) -415 (e) 1/2 (f) -0.4 d Which is the smallest value? (a) -549 (b) 23 (c) 15 a Which is the biggest value? (a) -3/2 (b) -2.38 (c) 7/5 (d) -1 (e) 4/17 c What is the third smallest value in -1, -18.2, -1631? -1 What is the fourth smallest value in -24, -1/3, -0.4, 0.5, -66006? -1/3 Which is the second biggest value? (a) -0.4 (b) -38 (c) 2738121 a Which is the biggest value? (a) 12 (b) -731297/10 (c) -0.5 a Which is the sixth biggest value? (a) 2/9 (b) 0 (c) 3 (d) -2/9 (e) -1 (f) -7/100 e Which is the smallest value? (a) 1 (b) -214 (c) -3 (d) -9 (e) 1/3 b What is the fourth biggest value in 2/53, -8.4, -289, -2? -289 Which is the biggest value? (a) -5 (b) 4 (c) -4 (d) 0.3 (e) -0.02 (f) -25/1056 (g) -0.5 b Which is the second biggest value? (a) 11 (b) 14 (c) 4/5741 a What is the sixth smallest value in 3, -472/279, -3/5, 5, -3, 1, -0.1? 3 Which is the biggest value? (a) -3764 (b) -2 (c) 2/5 (d) -1 (e) 3 (f) -72 e What is the second biggest value in -3, 2, -13.5, 41, -6.4, -4, 1/3? 2 What is the second biggest value in -1.7, -1, 12.82863, -4? -1 What is the third smallest value in -236, 0.2, -2.951, 2/7? 0.2 What is the fourth biggest value in -2627, -7, 5, -0.07, -0.2, 1/18? -0.2 Which is the second biggest value? (a) -15 (b) 87 (c) -27356 a What is the fourth smallest value in 37, 75/8, 3/2, -2/5, 1/2245? 75/8 Which is the sixth smallest value? (a) -0.1 (b) -5 (c) 2/5 (d) -5/11 (e) -1 (f) 1435 f Which is the fourth biggest value? (a) 231 (b) -3 (c) -660/17 (d) 0.3 (e) 5 (f) -2 f What is the fourth biggest value in 2, -0.5, 4515, 1.7, -2/7, -88? -2/7 Which is the third biggest value? (a) 1/21 (b) -74 (c) -0.218 b Which is the sixth biggest value? (a) -79 (b) -5 (c) -2/7 (d) 3 (e) 0.09353 (f) 0.3 a What is the third smallest value in 296, -2/19, -2/7, -3/5, 1/3, 3, 372? -2/19 What is the fifth biggest value in -1, 9/4, 0.2, -6, 1/2, 0.596? -1 Which is the smallest value? (a) 1/92 (b) -14 (c) -2 (d) 0.2 (e) 2.16 (f) -2/3 (g) -1/8 b What is the smallest value in 4, -34/15, 3/8, -0.01, 0.099? -34/15 What is the second biggest value in 50, -3283/6, 7? 7 Which is the second biggest value? (a) -7/3 (b) 36 (c) -12 (d) 125 (e) 4/3 b What is the fifth biggest value in 1, 0.2, -0.5385, 3, -0.1, -265? -0.5385 Which is the sixth smallest value? (a) 0.5 (b) 1.59 (c) -2.2 (d) 9 (e) 0 (f) -0.4 (g) -0.3 b Which is the smallest value? (a) 0.4 (b) 154777 (c) 0 (d) 0.1 (e) -8/3 (f) 1 e What is the smallest value in -45, -4/5, 0.1, 4/79, 0.6, -4? -45 What is the third biggest value in 3/128, -1/119, -3, 0.4, 9? 3/128 Which is the second smallest value? (a) -1.16 (b) -428 (c) 4/5 (d) 9/5 a What is the second biggest value in 2, -30879, 0.44? 0.44 What is the smallest value in 3/978890, 4, -2/15? -2/15 Which is the smallest value? (a) 92 (b) -204 (c) 5 (d) 216 (e) -0.1 b What is the smallest value in 0.1, 440, 0.4, 236.4? 0.1 Which is the fourth biggest value? (a) 30/181 (b) 4 (c) 0.2 (d) -1 (e) -26 d What is the second smallest value in -3, 104, -84/13, 0.4, 101, -2/7, -5? -5 Which is the third smallest value? (a) -0.16 (b) -4 (c) 0.2 (d) -154/13 (e) -0.2 e Which is the second biggest value? (a) -82 (b) 131/5 (c) -8 (d) 1/10 d Which is the second biggest value? (a) -2 (b) -2473 (c) 14.23 (d) 0.4 d Which is the fourth smallest value? (a) 35 (b) 6/5 (c) -5 (d) -8/1361 a Which is the second biggest value? (a) -0.4 (b) -1/286201 (c) -1 (d) 0.001 (e) -3/8 b Which is the second smallest value? (a) 4 (b) -4 (c) 1.134 (d) -1/25 (e) 0.1 d Which is the second smallest value? (a) 182 (b) 5 (c) -7 (d) 4 (e) -3/4 (f) 0.8 e Which is the biggest value? (a) -5 (b) 808 (c) 3/7 (d) 0.5 (e) -31 (f) 0.013 (g) -2 b Which is the second smallest value? (a) 1/14 (b) 0.4427 (c) -1 (d) 0 (e) -2/5 (f) -1/3 e What is the second smallest value in 6/1393, -5, 0.1, -2, 5? -2 What is the second biggest value in -3/101, -3/2, -23, 0.4, -5? -3/101 What is the fifth biggest value in -0.3, 0.056, -530, -2/5, 5/2? -530 What is the second smallest value in 0.1, -2/105, -15/11, -2/187, 0.3? -2/105 Which is the second smallest value? (a) 8 (b) 2.5 (c) -21.5 (d) -2 (e) -2/5 (f) -4 f Which is the fifth smallest value? (a) 5/9 (b) -0.0367 (c) -4 (d) -0.1 (e) 7 (f) -4/7 a Which is the second smallest value? (a) 1/5 (b) -170 (c) -0.1 (d) -31.77 (e) 0.5 d What is the fourth biggest value in -4/7, 24/13, 3, -1165, 0.3, 2/25? 2/25 Which is the fourth smallest value? (a) -0.61 (b) 5 (c) 0.02 (d) -438 (e) -12 (f) -4 (g) -1/3 a Which is the biggest value? (a) -1777 (b) 4 (c) -0.23638 b Which is the fifth smallest value? (a) 8 (b) 1 (c) -5 (d) 203 (e) 4 (f) -2/35 (g) -0.4 e What is the third biggest value in -1/4, -19/21, 1/5, -5/16, -3/5, 3? -1/4 Which is the second biggest value? (a) -2/3 (b) 48.3 (c) -10 (d) 2 (e) -1/5 d What is the sixth biggest value in 1/4, -14, 3/4, -2, -0.4, -3/8? -14 What is the second smallest value in 0, -116, -45217? -116 Which is the third biggest value? (a) 2/7 (b) 0.25 (c) 2/11 (d) 221 b Which is the third smallest value? (a) -80 (b) 3.7 (c) -2/3 (d) -1 (e) -0.04 c What is the biggest value in 1/4, 44, -61, 0.2, 2/7, -64? 44 Which is the smallest value? (a) 1 (b) -60867 (c) 0 (d) 4 (e) 0.4 (f) -0.7 (g) -2/11 b Which is the third smallest value? (a)
{ "pile_set_name": "DM Mathematics" }
4*q - 3*b. Solve -10 = -0*z + q*z for z. -5 Suppose 11*r - 24 = 5*r. Solve r*a = a for a. 0 Let b(k) = -k**2 + 7*k - 6. Let g be 1*(-1)/1 + 1. Suppose g*l + 5 = l. Let p be b(l). Solve -15 = a + p*a for a. -3 Let c be (-1)/((-3)/(-9)) + 4. Solve 7 = -2*u - c for u. -4 Suppose -5*p + 5*k - 5 = 0, 3*k = p - 5*p + 17. Solve p*y + 12 = 5*y for y. 4 Let k be -5*(4/5 - 0). Suppose -5*d = -5*x + 55 + 5, 5*x - 3*d = 50. Let w = x + k. Solve -5*u + w*u - 10 = 0 for u. -5 Suppose 3*x = -x. Suppose x = 4*g - 0*g - 8. Suppose 4*f + 5 = o + 4*o, 0 = g*f - 4*o + 4. Solve f*v = 4*v + 12 for v. -3 Let q = -20 + 25. Suppose y - q*j + 11 = 0, 2*y + j + 23 = 5*y. Solve -4*r - y = -1 for r. -2 Let f be (3/3 - -2) + -9. Let j be 9/f*(-10)/3. Let t be j/3 - 2/3. Solve v - 3 + t = 0 for v. 2 Suppose 0 = -5*s + 3*i + 1, -19 = 2*s - 5*i - 8. Let m be s/(-4)*2 + 3. Solve -2*d - m = -d for d. -2 Let d(q) = q**3 - 7*q**2 + 4. Let z be d(7). Let i = -1 + 1. Solve i = -a - z + 1 for a. -3 Suppose 5*v + 0*u - 36 = -2*u, 4*v = -u + 30. Suppose -4*k + 6*k - 28 = 4*c, 4*c + 44 = 3*k. Solve -k = v*h - 4*h for h. -4 Suppose -5*f + 3*p + 3 = -2, -2*p = 5*f - 5. Solve -z + 0*z + f = 0 for z. 1 Suppose 3 = 5*o + 28, 3*m = 2*o + 22. Let k be (-20)/(-50) + (-206)/(-10). Solve 5*a = -m - k for a. -5 Suppose 0 = -2*a - 2*a. Solve 2*g - g = a for g. 0 Suppose -4*v + v + 12 = -2*j, -2*j - 16 = -4*v. Suppose -2*t = -8, 2*y + t - 12 = 4. Suppose -p = s - v, p = s + y*p. Solve -s*k = -k + 4 for k. -1 Let s(o) = -2*o + 4*o**2 + 5*o + 2*o**3 - o**3. Let h be s(-2). Suppose -48 = v - 6*v + f, 9 = h*v + 3*f. Solve -r + 4 - v = 0 for r. -5 Let k be 5 - -1 - (-2)/2. Solve 20 = -3*f + k*f for f. 5 Let g be 4*(-6 - -2)/8. Let w be g/(-3) - (-4)/3. Solve -w*p + 5 = 3*p for p. 1 Let z = -35 - -37. Solve -z = -0*r - r for r. 2 Let t(v) = -5 - v - v**3 + 3*v + 7*v**2 - v. Let b be t(7). Solve b*q = 4*q for q. 0 Let i(j) = j**2 + 5*j - 1. Let o be i(-6). Suppose 0 = 3*p + y - 5, -3*p + 8*p - o = -y. Suppose -h - 2*h = p. Solve -5*k + h*k - 10 = 0 for k. -2 Let x(s) = -s**3 - s**2 + 3*s + 3. Let d be x(-2). Let b = d + 4. Suppose -5 = 4*q - 109. Solve b*t - 1 = -q for t. -5 Let q(x) be the third derivative of -x**4/12 - 5*x**3/6 + 3*x**2. Let f be q(-4). Solve -2*m = -m + f for m. -3 Suppose 0 = 4*v + 5*o - 45, -v + 2*v + 3*o = 20. Let y = v - 3. Suppose y*t = -0*t. Solve t = -u - 0*u for u. 0 Let k be (-10*(-1)/2)/1. Let m be (2/(-3))/((-1)/18). Let o be (0 - -1) + -3 + m. Solve 0*c + o = k*c for c. 2 Let o be (-2)/(-7) + 36/21. Let j be o/(-2) - (-1 + 0). Solve j*k + k = 1 for k. 1 Let s be (-6)/(-9)*(0 - -6). Suppose -d = -s*d. Solve -2*i = -d*i for i. 0 Let p = 13 - 6. Suppose 4 = 4*u - 2*u. Suppose -5*v + 5 = -u*g, 0 = 2*v + g + 3*g - 26. Solve -v*b - 4 = -p*b for b. 1 Let l(r) = -r**2 + 3*r + 2. Let y be l(5). Let s = 13 + y. Suppose -s*x + 20 = 5*f, -2*f - 3 = -5*x + 3. Solve x*p - 7 = -1 for p. 3 Let t(z) = z - 8. Let v be t(8). Suppose -3*g = -2*g + 2, m + g = 0. Let y = m + v. Solve -y*d = -0*d + 10 for d. -5 Let l(p) = p**2 + 7*p + 8. Let g be l(-7). Let m be 4/12 - 1/3. Solve 3*n - n - g = m for n. 4 Suppose 0 = 3*w + 2*k - 5, -15 = -k + 4*k. Solve c = w*c + 4 for c. -1 Let i(u) = u**2 + 6*u + 8. Let q be i(-2). Solve q*a - 2*a = 6 for a. -3 Let f be (-11 - -7)*3/(-4). Let t be f - 3/3 - 2. Suppose 5*z - 59 = -3*j, t*z + 2*z = 2*j - 50. Solve 3*c = -8 + j for c. 5 Let l = 4 + -1. Solve -l*m + 2*m = 0 for m. 0 Let z(p) = 20*p**2 + p. Let v be (-1)/(-3)*3 - 0. Let f be z(v). Solve 4*h + 5 = f for h. 4 Let h(z) = z**3 + 17*z**2 + 16*z + 2. Suppose 80 = -3*g - 2*g. Let w be h(g). Solve w*v = 3*v for v. 0 Let j = -9 + 1. Let s = j + 19. Solve 2*f = 1 - s for f. -5 Suppose 3*x - 6 - 12 = 0. Solve k = x*k + 25 for k. -5 Let t(k) = 5*k + 1 - 1 + 2 + 4 - k**2. Let m be t(6). Let d = m + 2. Solve -3*c - d = 1 for c. -1 Suppose 0 = -2*k + k - 5. Let z be (-4)/10 - 17/k. Suppose 4*m - 15 = -z. Solve -b = m*b for b. 0 Suppose 2*x + x + 3*t = -6, 4*t + 16 = 0. Solve x*a - 7*a = 0 for a. 0 Suppose 8*w = 7*w + 2. Solve -2*t - w*t + 16 = 0 for t. 4 Let f = 16 + -12. Solve 4*g + 8 = -f for g. -3 Let k(i) = i**2 - 2*i. Suppose 0 = -0*x - x - 2*n + 2, 3*x - 6 = 5*n. Let u be k(x). Solve j + u*j = 2 for j. 2 Let o be (-5)/(-2) - 2/4. Solve 3*j = 1 + o for j. 1 Let x be 222/11 - (-12)/(-66). Let q be x/6*48/40. Solve -q*g = -0*g for g. 0 Let t be 26/(-117) + 20/9. Suppose -k - t*k + 18 = 0. Solve 3*a - a - k = 0 for a. 3 Suppose 7*c = 2*c + 100. Suppose -6*x + 2*x - c = 0. Let u be -4 - x - -2*1. Solve -u*q + 14 = -1 for q. 5 Let a(p) = -p**3 + 6*p**2 - 6*p + 6. Let j be a(4). Solve -4*v = -j + 2 for v. 3 Suppose 4*u - 46 = 2*j - 4*j, -56 = -4*u - 4*j. Let y be 1 + 1 + (u - 6). Solve -y = 4*l + 7 for l. -3 Let b = 5 - 0. Solve -1 - b = 2*t for t. -3 Let g be 422/8 - 2/(-8). Suppose 7 = -4*c - w + 71, -g = -3*c - 2*w. Suppose -21 = -2*q + c. Solve q = 4*h - 2 for h. 5 Suppose -3*i + 0*i = 0. Solve i*a = -a - 3 for a. -3 Let m(w) = w + 6. Let d be m(-6). Suppose d*x - 20 = -2*x. Let q be (2 + -2)/(-1 - 0). Solve q*j + 5*j = -x for j. -2 Let y(q) = q**2 - 2*q - 3. Let p be y(3). Suppose 4*s - 20 = -p*s. Suppose 2*v - s = v. Solve v*r + 12 = 2 for r. -2 Let l(b) = -b**3 + 0*b - 2*b**3 + b + 2*b**2. Let u be l(-1). Solve u = -r + 7 for r. 3 Let d(c) = -2*c - 4. Let q be d(-4). Suppose 3*i = -4*t + q, 0 = 5*t - t + 8. Solve 2 - 10 = -i*f for f. 2 Let g be (-1)/(-5) + (-99)/(-55). Solve g = 5*a - 3 for a. 1 Suppose -d = d - 4. Suppose 2 = d*f + 3*c - 3, 2*c = -f + 1. Suppose 5*k = z + 5, 0 = 2*z + 2*z + k - 22. Solve -z*o + f = 2 for o. 1 Suppose -3*t + 21 + 4 = 5*y, -3*y - 5*t + 15 = 0. Suppose 0 = -0*f - y*f + 20. Solve -f*g + g = 0 for g. 0 Suppose 0 = -y + 6*y - 5. Solve -5*t + y = 6 for t. -1 Let t be 39/(-4) + (-1)/4. Let n be 3*1*t/(-6). Let g = -3 - -3. Solve n*y + 10 = -g*y for y. -2 Let u(x) = x - 16. Let y be u(18). Solve -25 = -y*h + 7*h for h. -5 Let p(g) = g**3 + 2*g**2 - 4*g. Suppose -3*i - 4*a - 5 = -3*a, 3*i = 5*a - 29. Let o be p(i). Solve -r = o*r + 16 for r. -4 Suppose j + 10 = 5*x - 3*j, -5*j = -2*x - 13. Solve 2*l = -l - x for l. -2 Let l = 1 - 0. Let j = 75 + -72. Solve -j = q - l for q. -2 Suppose -2*t = -6, z + 4*t = -0*t + 19. Let n = z - 4. Solve -b + n = 5 for b. -2 Let m be 5*-3*1/(-3). Suppose -6*t = -7 - m. Solve -6*l + t*l = 0 for l. 0 Let m be -9*(1 + -2)/1. Solve -1 = 2*f + m for f. -5 Let l(r) be the first derivative of -r**3/3 - 3*r**2 - 10. Let p be l(-6). Solve p = -4*y + 7 + 5 for y. 3 Suppose 15 = 5*l - 5. Suppose -l = -2*x - 0*x. Suppose 0 = x*t - 4*t + 4. Solve -t = s + s for s. -1 Let u = -26 - -30. Solve -u*x + 11 = -1 for x. 3 Let n(z) = -z**3 + 5*z**2 - z + 7. Let b be ((-2)/(-3))/(4/150). Suppose g + b = 6*g. Let p be n(g). Solve 0 = 3*d + p*d for d. 0 Suppose 5*v + 2*v - 42 = 0. Solve 5*k + v + 19 = 0 for k. -5 Suppose 0 = -5*h - 3*o + 23, 0*o - 1 = -o. Suppose -6 = g - 3*g. Solve -5*s + h = -g*s for s. 2 Let k(g) = 3*g**2 - 2*g - 6. Let q(t) = -t**2 - t. Let j(n) = k(n) + 4*q(n). Let m be j(-4). Solve h - 5 = -m for h. 3 Suppose -2*i + 2*r - 5 = -19, -4*r = -3*i + 17. Suppose 4*m - i = 1. Solve 4*h = -m - 1 for h. -1 Suppose -5 = -3*s + 2*s. Suppose -2*r = -6*r + 16. Solve -u + r = -s*u for u. -1 Let d be 1 - (2 - (-1 + 4)). Suppose k - 4 = -d. Solve k = -3*q - 1 for q. -1 Let c be 48/(-18)*(-2 - -5). Let m = c - -8. Solve m = 3*t - 0*t + 15 for t. -5 Suppose -8 = 4*q - 4*l - 4, 4*q + l - 16 = 0. Solve a + q = -1 for a. -4 Let i = -20 - -22. Solve -i - 2 = 2*n for n. -2 Suppose 0 = -i + 1 + 3. Let u(j) = j**3 - 4*j**2 + 5. Let w be u(i). Solve w*b - 5 = 4*b for b. 5 Let w = 69 + -64. Solve w = -5*b + 15 for b. 2 Let f be ((-12)/(-5))/((-2)/(-10)). Suppose 44 = -3*b + g + 18, 4*b = -4*g - 24. Let i be (6/b)/((-3)/8). Solve -2 + f = i*x for x. 5 Suppose 6 - 1 = j. Suppose -z + 10 = a, -j*a - 3*z - z + 45 = 0. Solve -a*b - 3 = 2 for b. -1 Suppose -3*u - 25 = 2*u. Let j be ((-2)/(-4))/(u/(-20)). Solve -2*i + i - j = 0 for i. -2 Suppose 9*t - 12*t + 6 = 0. Solve t*h + 3*h = 0 for h. 0 Suppose -q + 1 + 2 = 0. Let r be -1 + 5 - (-4 - -2). Let f be (0 - -6)/3 - 2. Solve f*l = q*l - r for l. 2 Suppose -3*t + 22 = 7. Solve -5*c + t = -5 for c. 2 Let h(c) = -c**2 + 6*c - 1. Let
{ "pile_set_name": "DM Mathematics" }