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he units digit of t(n)? 0 Suppose 9*p - 2*p - 1043 = 0. What is the hundreds digit of p? 1 Let c(y) = y**3 + y**2 - 1. Let z be c(-2). Let a(x) = -3 - 7*x - x**2 + 0*x**2 + 0*x**2. What is the units digit of a(z)? 7 Let p be ((-1)/2)/(9/(-18)). Let b be 1*9/3 - p. Suppose 0 = -m - b*m + 51. What is the units digit of m? 7 Suppose 0*c - c + 5 = 0. Let n be 0 + 5*(-4)/(-10). Let i = c - n. What is the units digit of i? 3 Suppose -5*h - 25 = 0, -h + 0*h + 139 = 4*w. What is the tens digit of w? 3 Let u(n) = -n**3 + 2*n**2 + 2*n - 2. Let a be u(2). Suppose 5*b - 5 = -a*p, 3*p + 0*b - 5 = -5*b. Let v = 1 + p. What is the units digit of v? 1 Let r(b) = -b - 10. Let y be ((-18)/(-15) - 2)*10. Let o be r(y). What is the units digit of 3/o*12/(-9)? 2 Let v(h) = -2*h + 7*h**2 + 1 + h**2 - 2*h**3 + 4*h + 3*h**3. What is the tens digit of v(-7)? 3 Suppose -2*b + 0*b + 4 = 0. Suppose 23 = 2*v - 5*c, c - 44 = -b*v + 9. What is the units digit of v? 4 Suppose 3 + 13 = 2*z. What is the units digit of (-3)/(-2)*(-6 + z)? 3 Let j(q) = q**3 - 5*q**2 - 3*q + 5. Let c(o) = o**3 - 5*o**2 - 4*o + 6. Let r(k) = 3*c(k) - 4*j(k). What is the tens digit of r(4)? 1 Suppose -5*a + w - 3*w - 14 = 0, -5*w = 2*a + 14. Let f be a/(-3)*(-2 + 11). What is the units digit of ((-35)/(-15))/(2/f)? 7 What is the tens digit of (-24)/16*(-182)/3? 9 Suppose 2*w + 10 = 5*t, 0 = 3*w - 0*t + 2*t - 23. Suppose 2*q + w = -n, -10 = 5*n - q + 4. Let b(m) = -2*m - 4. What is the units digit of b(n)? 2 Suppose -k + 5 = 3. Suppose 20 = 3*s + k*s. What is the units digit of s? 4 Suppose 0 = 4*t + 6*t - 2270. What is the units digit of t? 7 Suppose -5*t - 2*y + 317 = 0, 203 = 3*t - y - y. Let h = t + -28. What is the units digit of h? 7 Suppose 5*q - q = 0. Let a = 4 + q. Suppose -a = j - 3*j. What is the units digit of j? 2 What is the tens digit of 4448/60 + 4/(-30)? 7 Let g(s) = -s**3 - 4*s**2 + s + 12. What is the units digit of g(-6)? 8 Let z = 2 + 2. Suppose 86 = 5*q + 4*r, -68 = -z*q - 2*r - r. What is the units digit of q? 4 Suppose -p + 102 = 2*p. What is the tens digit of (-2)/(1 + p/(-32))? 3 Let d = -16 - -23. What is the units digit of d? 7 Let f(l) = 2 + 2*l - 4*l**3 - l + 3*l**3 + 2*l. Let n be f(-2). What is the units digit of n/2 + (-1 - -8)? 9 Suppose 0*g - 783 = -3*g. What is the tens digit of g? 6 Let o(p) = p**3 - 6*p**2 + 3*p + 4. Suppose i - 8 + 2 = 0. Let t be o(i). Suppose 2*l + 3*d + 2*d + 16 = 0, -5*l = -3*d - t. What is the units digit of l? 2 Let g(j) = 259*j**2 + 119. Let m(v) = -5*v**2 - 8*v**2 - 6 + 0. Let r(z) = 6*g(z) + 119*m(z). What is the units digit of r(1)? 7 Let v be (1/2)/(3/6). Let r(j) = 0 + v - 3*j + 2*j + j**2. What is the units digit of r(2)? 3 Suppose 0 = 4*k - 20, -4*u = -5*k - 63 - 120. Let v = u - 20. What is the units digit of v? 2 Let m = 23 - -5. What is the units digit of m? 8 Let z be (-3)/1*31/(-3). Let y = 65 - z. Suppose -s = -m, -3*s - 5*m - 2 = -y. What is the units digit of s? 4 Suppose 25*k = 29*k - 16. What is the units digit of k? 4 Suppose 3*u - 8 - 1 = 0. Let c(j) = 0*j**u - j**3 + 4 + 9*j**2 + 1. What is the units digit of c(9)? 5 Let q be (-132)/(-9) + (-6)/9. Suppose -3*v + 41 = q. What is the units digit of v? 9 Let n = -13 - -8. Let t be 20 - n - 4/(-2). Let u = t - 15. What is the tens digit of u? 1 Let b = 15 - -4. Suppose -3*q + b = -17. What is the tens digit of q? 1 Let k be 1/2*2*2. Suppose -21 = -g + 5*s, -k*s = 3*g + 3*s - 103. What is the tens digit of g? 3 Suppose -2*i + 58 = 2*i + 2*s, -4*i = s - 63. What is the units digit of 0 + (-1)/((-1)/i)? 7 Let h = 33 - -3. What is the tens digit of h? 3 Let n(f) = 2*f**2 + 4. What is the units digit of n(2)? 2 Let b be (-6)/45 - (-501)/45. Let y(m) = -m + 21. What is the tens digit of y(b)? 1 What is the tens digit of (-8)/(12/(-3))*31? 6 What is the units digit of 112/18 + 2/(-9)? 6 Let y(a) = -a**2 + 7*a - 6. Let r be y(6). Let q be 5 - (-2 - (-2 + 3)). Suppose 4*i - q = -r*i, 4*p - 42 = -i. What is the units digit of p? 0 Suppose 0*r = -3*r + 15. Suppose 0 = 5*d + 25, -4*f + r*d = 2*d - 31. What is the units digit of (-90)/25*(-10)/f? 9 Let n(t) = t**2 - 3*t - 2. Let a(h) = -h**2 - 7*h + 7. Let y be a(-7). What is the tens digit of n(y)? 2 What is the tens digit of 3/1 + 23 - 2? 2 What is the units digit of (-2)/(-8) - (-334)/8? 2 Suppose 0 = -4*t + 5 + 7. Suppose t*u = 0, 0*u = s - 5*u - 22. What is the units digit of s? 2 Let a(s) = -7*s - 9. Suppose -5*k - 35 + 5 = 0. Let m be a(k). What is the units digit of (-6)/m - 158/(-22)? 7 Let k be 1*(-3)/(-6)*-10. Let s(d) = d**3 + 7*d**2 + 5*d - 1. What is the units digit of s(k)? 4 Let l(p) = -p**3 - 10*p**2 + 9. Let x be l(-10). Suppose 5*b = 1 + x. What is the units digit of b? 2 Suppose 20 = -y + 48. Suppose y - 4 = 3*r. Let s = r - 2. What is the units digit of s? 6 Suppose -4*q + 6*q = 580. Suppose -4*o = -5*h + q - 88, -4*o = -4*h + 160. What is the units digit of h? 2 Let u(j) be the third derivative of j**4/24 + j**3/3 + 2*j**2. Let g be u(0). Suppose -5*k - 5*x + 29 = 4, 0 = 4*k - 2*x - g. What is the units digit of k? 2 Let z = 1 + 2. Suppose 0 = 5*a - a. Let x = z - a. What is the units digit of x? 3 Let d(c) = -2*c - 6. Let s be d(7). Let l = 32 + s. What is the units digit of l? 2 Suppose 4 = 3*n + 1. Let k = -6 + 8. What is the units digit of 6*n + k/(-1)? 4 Let a(g) = g**2 + 5*g + 2. Let r be a(-3). Let u(b) = b**3 + 4*b**2 - 3*b - 2. What is the tens digit of u(r)? 1 Let s be 4*2*-1 + 1. What is the units digit of (s/(-4))/(2/8)? 7 Suppose 0 = 2*w - 175 + 29. What is the units digit of w? 3 Let y(u) = -u - 1. Let k be y(-3). Suppose -31 + 5 = -k*h. Let c = h - 2. What is the tens digit of c? 1 Let q(h) = -h**3 - 5*h**2 + 7*h + 7. Suppose -t + 4*m - 32 = 3*t, 22 = -4*t - m. Let w be q(t). Let c(f) = 6*f**3 + f**2 - 1. What is the units digit of c(w)? 6 Suppose 2*c + 776 = 4*j, -2*c + 16 = -6*c. What is the units digit of j? 2 Let h(r) = -2*r - 5. Let n be h(-5). Suppose -9 = 4*l + n*m + 51, -m = 4*l + 44. Let u = 15 + l. What is the units digit of u? 5 Suppose a - 3*a = -86. Suppose -4*q = 3*p - a, 3 = -p - 0*p. What is the tens digit of q? 1 Let u(p) = 8*p**3 + 2*p + 1. Let r be u(-1). Let x = 20 - 34. Let j = r - x. What is the units digit of j? 5 Let y(z) = -z**2 + z - 1. Let o be y(2). Let l = 18 + o. Suppose m - l = -3*r, m - 2*m = -r - 7. What is the units digit of m? 9 Suppose t + 4*v = 25, t + 2*t - 5*v = 92. What is the tens digit of t? 2 Suppose 5*y + 5 + 15 = 0. Let w = 3 - y. What is the units digit of w? 7 Let b(f) = 56*f**2 - 2*f + 9. Let m(l) = -28*l**2 + l - 4. Let u(w) = -3*b(w) - 7*m(w). What is the tens digit of u(1)? 2 Suppose -5*u + 4 + 11 = 0. Suppose u = r - 22. What is the units digit of r? 5 Let t(v) = 2*v**2 - 4*v + 3. Let o be t(2). Suppose -5*y - 2 = -o*w + 8, 10 = -5*w - 5*y. What is the units digit of 2 - (w - 2 - 1)? 5 Let p(o) = -3*o + 0*o + 2*o - 7. Let r = -16 + 8. What is the units digit of p(r)? 1 Let k(t) = -5*t**3 - 2*t**2 + 3*t - 4. What is the units digit of k(-3)? 4 Suppose 2*r + 3 = 7. Suppose 0 = r*b - b - 43. What is the tens digit of b? 4 Let f(x) = x**2 + 2*x - 1. Let t be f(-2). Let a = 3 + t. Suppose 0 = -a*l + l + 11. What is the tens digit of l? 1 Let t = 5 + -3. Suppose 0*o = -t*o + 12. What is the units digit of o? 6 Let z(t) = 132*t**2. What is the hundreds digit of z(1)? 1 Let b be (12/1)/(1/5). Let r = -6 + b. What is the tens digit of r? 5 Let p(t) be the third derivative of t**6/120 - 11*t**5/60 + t**4/12 - t**3/3 - 3*t**2. What is the units digit of p(11)? 0 Let n = -388 + 168. Let s be (24/16)/((-3)/n). Suppose b + s = 6*b. What is the tens digit of b? 2 Let c(s) = -s**2 + 16*s + 10. Let f be c(7). Suppose 15 = -2*k + f. What is the units digit of k? 9 Let h be (3/(-6))/((-1)/6). Let c = h + 0. Suppose r + c = 7. What is the units digit of r? 4 Suppose 2*c + 5*s - 9 = 0, -2*s + 1 = 2*c - 5. Suppose -3*r + c*r + 11 = 0. Suppose 3*l + r = 5*n, -n + 23 = l + 4*n. What is the units digit of l? 3 Let k = -179 - -368. What is the hundreds digit of k? 1 Suppose -o - 317 = -5*o + 5*u, 0 = -5*o - 3*u + 350. What is the tens digit of o? 7 Suppose 2*q + 8*q - 530 = 0. What is the units digit of q? 3 Suppose 0*c = 2*c + 12. Let f = c + 6. Let g(t) = -t**2 + 1
{ "pile_set_name": "DM Mathematics" }
implify 6*(1 + 2*sqrt(252) - -4*sqrt(252)*4)**2. 1296*sqrt(7) + 489894 Simplify (-2*sqrt(810)*1)/(2*sqrt(200)*1). -9*sqrt(5)/10 Simplify (((sqrt(13) + sqrt(13)*-1*-4)*3)**2 - (3 + sqrt(156)/sqrt(3))**2)*-4. -11456 + 48*sqrt(13) Simplify (sqrt(228)/(sqrt(12) + sqrt(48)/sqrt(4)) - (sqrt(76)/sqrt(4)*-2 + sqrt(19))**2 - (sqrt(19)*2 + 2 + (-1*sqrt(171))**2)) + 2 + -2. -192 - 3*sqrt(19)/2 Simplify sqrt(125) - (((sqrt(125) - (3*(-5 + sqrt(125)) - sqrt(125))) + sqrt(125))**2 + sqrt(125)) - sqrt(125) - (2*sqrt(500) + sqrt(35)/sqrt(28)). -225 - 51*sqrt(5)/2 Simplify -2 + (6*(-4*(-1*sqrt(20) - sqrt(20)))/(sqrt(4) + sqrt(576)*1 - sqrt(4)))**2. 78 Simplify ((sqrt(70) - sqrt(70)*-2*-4)/(sqrt(80)/sqrt(72))*-3)**2. 27783 Simplify 5 + -5 + (-1*(sqrt(176) + 2)*6)**2. 576*sqrt(11) + 6480 Simplify -1*(5*(-1 + -1*sqrt(1100) + sqrt(1100) + 4))**2. -225 Simplify (4*-2*sqrt(3024))/(-4*(sqrt(7) + sqrt(28)/sqrt(4)) + sqrt(7) - -2*sqrt(448)). -32*sqrt(3)/3 Simplify -4*(-2 + 1 + sqrt(343)*1 - ((sqrt(343) - (sqrt(343) - sqrt(343)*2*-6) - sqrt(343)) + (sqrt(343) - (sqrt(343) + sqrt(343)*1)*6)))**2. -857504 + 1400*sqrt(7) Simplify 1 + -3*sqrt(612) + ((4*(sqrt(153) + (sqrt(153) - sqrt(153)*3) - sqrt(153)))/sqrt(9))**2. -18*sqrt(17) + 1089 Simplify (sqrt(627)/(sqrt(880)/sqrt(5)))/(((sqrt(60)*-2)/sqrt(4))/sqrt(5)). -sqrt(19)/8 Simplify (-4*(sqrt(1728) + (sqrt(1728)*2 - sqrt(1728)) - sqrt(1728)))/(5*sqrt(900)*-1). 16*sqrt(3)/25 Simplify (sqrt(28)*-2 + 1 + 5)*-1. -6 + 4*sqrt(7) Simplify (sqrt(56)/(-4*sqrt(10)/sqrt(5)))/((sqrt(108)/sqrt(3))/sqrt(9) + (sqrt(4) + -4*(-1*sqrt(4) + sqrt(4)) - sqrt(4))). -sqrt(7)/4 Simplify (-1*(sqrt(153) + (sqrt(153) - -5*sqrt(153)*-2)))/(-4*-2*sqrt(1089)). sqrt(17)/11 Simplify ((sqrt(225)*4)/sqrt(3) + (-2*sqrt(735) - sqrt(15))/sqrt(5) + 3)**2. 30*sqrt(3) + 84 Simplify ((sqrt(1331) - (sqrt(1331) + sqrt(1331) + sqrt(1331)*-2)*5) + 5 + -2*sqrt(1331) + sqrt(1331) + -2)**2. 9 Simplify (-1*(sqrt(88)/(sqrt(12)/sqrt(3)) - sqrt(22)))/(sqrt(121)/(sqrt(11) + 1*sqrt(176))). 0 Simplify (6*-4*(2*sqrt(136)*2)/((sqrt(40)*1)/sqrt(5))*-2)**2. 626688 Simplify ((sqrt(6) + sqrt(6) + sqrt(18)/sqrt(3))/sqrt(2) + 5 + -2 + sqrt(12)/sqrt(4) + -2)**2. 8*sqrt(3) + 49 Simplify -3 + -5 + (sqrt(102)/sqrt(6) + 2 - sqrt(34)/(3*sqrt(2))). -6 + 2*sqrt(17)/3 Simplify (sqrt(117)/(sqrt(27)/sqrt(3)) - sqrt(39)/sqrt(27))**2 - ((4*(sqrt(13) + -2))**2 + 5). -2441/9 + 64*sqrt(13) Simplify 6*(3*((sqrt(1216) - sqrt(1216)*-1) + sqrt(1216)) + sqrt(228)/(sqrt(1728)*1) + -4)**2. -3460*sqrt(19) + 14218579/24 Simplify (sqrt(35)*-1)/sqrt(5) - sqrt(28)/(sqrt(4)*1) - (sqrt(7)*-2 + -2 - (sqrt(28) + -3)). -1 + 2*sqrt(7) Simplify ((sqrt(22) - (sqrt(22) + (sqrt(220)*5)/sqrt(10) + sqrt(22) + sqrt(22)))/(sqrt(33)/(sqrt(33)/sqrt(11))))**2. 98 Simplify (1 + sqrt(208) + sqrt(13) - ((sqrt(104) - sqrt(26))/sqrt(2))**2) + ((sqrt(39) + 1*sqrt(39))/sqrt(3)*-2)**2. 5*sqrt(13) + 196 Simplify (-3 + -5*(sqrt(637) - (sqrt(637) + 5)*1))**2. 484 Simplify (-3*sqrt(171)*1)/(4*sqrt(900)). -3*sqrt(19)/40 Simplify ((6*(sqrt(275)*1 + sqrt(275)))/sqrt(11))/(5*sqrt(245)*-1 - sqrt(245)). -2*sqrt(5)/7 Simplify (3 + sqrt(52) + 1)*-5 + -5. -10*sqrt(13) - 25 Simplify (((sqrt(450) - ((sqrt(450)*3 - sqrt(450)) + sqrt(450)) - sqrt(450))/sqrt(10))/(sqrt(72)/sqrt(8)*6))**2. 5/4 Simplify (sqrt(85)*3*2 + sqrt(85))/((-2*sqrt(60))/sqrt(12)). -7*sqrt(17)/2 Simplify (2*sqrt(132)/sqrt(27))/((sqrt(20)*-1)/sqrt(5) - (sqrt(4) + sqrt(64)*-6)). sqrt(11)/33 Simplify -1*5*(sqrt(34)*-3)/sqrt(2)*2. 30*sqrt(17) Simplify 0 + -1 + (-5*(sqrt(70) + sqrt(70) + sqrt(70)*3 + sqrt(70) + sqrt(70)))/sqrt(10) + -4. -35*sqrt(7) - 5 Simplify -1*(((sqrt(847) + -2)*-2)**2 + 3 + -2 + sqrt(847)). -3405 + 165*sqrt(7) Simplify ((sqrt(572)/sqrt(11))/sqrt(4) - (sqrt(13)*-6 + 2)) + 3. 1 + 7*sqrt(13) Simplify -5*(sqrt(1200) + sqrt(1200) + -1 + 3 - (sqrt(1200) + 2)*1)**2. -6000 Simplify (1*(5 + (sqrt(13)*-2 + sqrt(13))**2*-6) + -2)*5. -375 Simplify (-2 + 4*-5*sqrt(21)/sqrt(3) + sqrt(77)/(sqrt(704) + 2*sqrt(704) - sqrt(704)))*1. -319*sqrt(7)/16 - 2 Simplify ((sqrt(200) + (sqrt(200) - 6*2*sqrt(200)) + sqrt(200))**2 - (1*(0 + sqrt(200)))**2) + 5 + (sqrt(200) + -1*(sqrt(200) + 1))**2. 16006 Simplify -1*(4 + (-4*sqrt(20) - (sqrt(500) - (-1 + sqrt(500)))))**2*2. -658 + 96*sqrt(5) Simplify (((-1*sqrt(1053)*-3 - (-5 + sqrt(1053)*1 + sqrt(1053) + sqrt(1053) + sqrt(1053))) + 3)*-1)**2. -144*sqrt(13) + 1117 Simplify (-4*sqrt(121)*-1 - -4*(-2*sqrt(121) + sqrt(121)))/((sqrt(1584) - sqrt(1584)*-2)*-3). 0 Simplify 6*(sqrt(13) - sqrt(52)*-2 - (-4 + sqrt(52)))*3 + -4 + 2. 70 + 54*sqrt(13) Simplify (-6*(-2*sqrt(1584)*6 - (-3 + sqrt(1584) + 0))*-6)**2 + -3. -1213056*sqrt(11) + 346945677 Simplify ((sqrt(306)/(sqrt(72)/sqrt(8)))/(4*sqrt(128))*-5)**2. 425/1024 Simplify (-2*2*sqrt(153) + 4*sqrt(153)*-1)/(sqrt(99)/(-5*sqrt(11)*1)). 40*sqrt(17) Simplify sqrt(33)/((sqrt(11) - 2*sqrt(11) - sqrt(11))*6 - sqrt(11)) + (sqrt(27) - (-5 + sqrt(432))**2). -457 + 1598*sqrt(3)/13 Simplify -2 + -4*(sqrt(2) + -2*sqrt(2) + -5 - (-3 + sqrt(18)))**2*5. -722 - 320*sqrt(2) Simplify -2 + (sqrt(84) + -4*sqrt(84)*1)/(sqrt(300) + sqrt(300) + 2*sqrt(300)). -2 - 3*sqrt(7)/20 Simplify -5 + (sqrt(847) - (2 + (sqrt(847)*1)**2)) + 5. -849 + 11*sqrt(7) Simplify (1*sqrt(576)*-1 + sqrt(576))/(sqrt(3) - (sqrt(12)/sqrt(4)*-5 - sqrt(3)) - (sqrt(3) - (sqrt(108) - sqrt(3)))). 0 Simplify (3 + 3 + (sqrt(448) - (sqrt(448) + 0)) + 4)**2. 100 Simplify 5*(((sqrt(931) - (sqrt(931) + 0)) + 1 - (sqrt(931) + 0 + sqrt(931))*5)**2 - (sqrt(931) - (sqrt(931) + -4 + sqrt(931) + -1) - 2*sqrt(931)*6)). -245*sqrt(19) + 465480 Simplify 5*(4 + (2*sqrt(1008)*-1 - (-3 + (sqrt(1008) - (sqrt(1008) + 0)))))*-2. -70 + 240*sqrt(7) Simplify (2 + (sqrt(320)*-1)**2 + -4 - (4*(1 + sqrt(320)) - (sqrt(320) - (0 + sqrt(320) + 4))**2))*-5. -1650 + 160*sqrt(5) Simplify (-3 + -2*sqrt(228)/((sqrt(144)*-2)/sqrt(12) + sqrt(12)))**2. -12*sqrt(19) + 85 Simplify (2*sqrt(130)*1 - sqrt(130)*-2*-1)/(sqrt(10) + sqrt(90)*-1 - sqrt(10) - (sqrt(10)*-1 - sqrt(10))*-1). 0 Simplify (sqrt(14) - sqrt(98)/(sqrt(7) + sqrt(21)/sqrt(3)) - 3*sqrt(56)/sqrt(4))/(sqrt(98) + sqrt(98)*2*-6). 5*sqrt(7)/154 Simplify (-5*(sqrt(700) - (0 + sqrt(700))))**2 + (-1*sqrt(700) + sqrt(126)/sqrt(2))**2. 343 Simplify ((sqrt(68) - (sqrt(68) - -2*sqrt(68)*1) - sqrt(68))/(-3*3*sqrt(4)) + -1)**2. -2*sqrt(17)/3 + 26/9 Simplify -2*(-4 + -3*sqrt(720)*-4)*-5. -40 + 1440*sqrt(5) Simplify -4*sqrt(242)*-2 - (sqrt(8) - sqrt(32)/sqrt(4))/sqrt(4)*3. 88*sqrt(2) Simplify (2 + (sqrt(288) - -2*3*sqrt(288) - sqrt(288))*2)**2. 576*sqrt(2) + 41476 Simplify (-2 + -4*(-1 + sqrt(2057)))**2 + -2 + -4. -176*sqrt(17) + 32910 Simplify (sqrt(136) - -6*(-3*sqrt(136) + sqrt(136)))/(sqrt(24)/sqrt(108)). -66*sqrt(17) Simplify (-1*1*sqrt(152) - (sqrt(152) - 5*(sqrt(152)*-2 - sqrt(152) - sqrt(152) - sqrt(152)) - sqrt(152)))/(sqrt(968)*-2*-4). -13*sqrt(19)/44 Simplify ((sqrt(525)*-2)/(3*sqrt(6)/sqrt(2)) - ((sqrt(56)/(sqrt(48)/sqrt(6)) - sqrt(7)) + (sqrt(112) - sqrt(28)) + sqrt(28)))**2. 3388/9 Simplify 2 + (sqrt(320) + 2*sqrt(320) + -5 + sqrt(320) + (0 + sqrt(320) + 2 - sqrt(320)))**2*-5 + -4. -25647 + 960*sqrt(5) Simplify (-3*(sqrt(152) - (sqrt(152)*-1*6 + sqrt(152) - sqrt(152))))/(2*sqrt(512) - sqrt(56)/sqrt(112)). -4*sqrt(19)/3 Simplify (4*(sqrt(882) + (sqrt(882)*-1 - sqrt(882)))*-6*-4)**2. 8128512 Simplify (-1 + (sqrt(171) - sqrt(171)*1) + (sqrt(171) - (sqrt(171) - (sqrt(171) + 5 + -2))))**2*-1. -175 - 12*sqrt(19) Simplify 0 + (sqrt(15) - (sqrt(15) + sqrt(135)*-5))/(-1*(sqrt(20)/sqrt(4) + sqrt(5))). -15*sqrt(3)/2 Simplify (-6*(sqrt(143)*5 + sqrt(143)) + sqrt(143))/(5*sqrt(99)). -7*sqrt(13)/3 Simplify (sqrt(6050) - (sqrt(6050) - (sqrt(6050) - sqrt(6050)*-2)) - -2*sqrt(2450))/((sqrt(490) - -2*sqrt(490) - sqrt(10))*4). 47*sqrt(5)/80 Simplify (1 + 3*(sqrt(1900) + 2) + -3 + sqrt(1900) + -2)**2. 160*sqrt(19) + 30404 Simplify (-2 + 4 + (sqrt(931) + -2)*-4*4)**2. -7616*sqrt(19) + 239492 Simplify (sqrt(240)/sqrt(4)*-6)/(sqrt(96)/(1*sqrt(8))) + -5 + (-1*sqrt(720) - (4 + sqrt(5) + 1)). -19*sqrt(5) - 10 Simplify -2 + (3*sqrt(1200))/(sqrt(66)/(sqrt(22)/sqrt(2)) + sqrt(6)). -2 + 15*sqrt(2) Simplify (((sqrt(2057) - (sqrt(2057) + 3 + sqrt(2057))) + sqrt(2057) - (sqrt(119) - sqrt(119)*-4)/sqrt(7))*1*-5)**2. 750*sqrt(17) + 10850 Simplify (5*(sqrt(425) + sqrt(42
{ "pile_set_name": "DM Mathematics" }
3, 53088, 70691, 88208, 105615, 122888? 140003 What comes next: -6962, -13334, -19088, -24230, -28766, -32702? -36044 What is next in 97565858, 97565855, 97565852, 97565849, 97565846, 97565843? 97565840 What is the next term in -8076, -33575, -76118, -135705? -212336 What is the next term in -88260, -176481, -264702, -352923, -441144? -529365 What is the next term in 227147720, 227147721, 227147722, 227147723, 227147724? 227147725 What is the next term in -2372, -9437, -21244, -37817, -59180? -85357 What is next in 188610159, 377220311, 565830463, 754440615, 943050767? 1131660919 What is next in 201431, 201475, 201591, 201815, 202183, 202731? 203495 What is the next term in 1417, 271, -889, -2063? -3251 What is the next term in -69237, -139985, -210739, -281499? -352265 What comes next: -11727, -11260, -10793, -10326? -9859 What is the next term in -182107, -728283, -1638577, -2912989, -4551519? -6554167 What comes next: 865, 2123, 3833, 5995, 8609, 11675? 15193 What is the next term in 55304594, 55304618, 55304644, 55304672, 55304702? 55304734 What is next in -1117591, -1117607, -1117623, -1117639? -1117655 What is the next term in -379, -2249, -5609, -10459? -16799 What is next in -3010, -12017, -27018, -48013, -75002, -107985? -146962 What is next in -79995, -84802, -89609, -94416, -99223, -104030? -108837 What is the next term in -360, -390, -460, -570, -720, -910? -1140 What is next in -55753, -223049, -501885, -892261, -1394177, -2007633? -2732629 What is next in 9486, 9802, 10076, 10302, 10474? 10586 What is next in -50883, -50760, -50641, -50526, -50415? -50308 What comes next: 7887, 15799, 23755, 31767, 39847, 48007? 56259 What is the next term in -431032, -430967, -430902, -430837? -430772 What is next in -371763, -371766, -371765, -371760, -371751, -371738, -371721? -371700 What is next in -1115212, -2230421, -3345646, -4460893, -5576168, -6691477? -7806826 What is the next term in 1803049, 1803062, 1803073, 1803082, 1803089, 1803094? 1803097 What comes next: -2856, -4213, -5550, -6867, -8164, -9441? -10698 What is the next term in -11614, -11584, -11528, -11434, -11290, -11084? -10804 What is next in 13976, 60411, 137806, 246167, 385500, 555811, 757106, 989391? 1252672 What is the next term in -3565550, -7131101, -10696652, -14262203, -17827754, -21393305? -24958856 What is the next term in -80943, -162517, -244091, -325665? -407239 What is next in 682451, 682570, 682689, 682808, 682927, 683046? 683165 What is the next term in 31226, 30774, 29544, 27146, 23190? 17286 What comes next: 609, 1210, 2203, 3588? 5365 What comes next: 1422, 2914, 4482, 6126, 7846, 9642, 11514? 13462 What is the next term in -16430, -43335, -70240, -97145? -124050 What is the next term in -32736, -66248, -99760? -133272 What is next in 2664, 7279, 13842, 22353, 32812, 45219? 59574 What is the next term in 97409, 97345, 97279, 97211? 97141 What comes next: 13099, 25875, 38589, 51235, 63807, 76299? 88705 What is next in -21996, -23169, -24342? -25515 What is the next term in 180650, 361208, 541676, 722048, 902318, 1082480, 1262528, 1442456? 1622258 What comes next: 4688159, 9376325, 14064467, 18752573, 23440631, 28128629, 32816555, 37504397? 42192143 What is next in -702817, -1405757, -2108829, -2812033? -3515369 What comes next: 23768, 47523, 71290, 95075, 118884? 142723 What is next in 413, 534, 525, 386, 117, -282, -811? -1470 What is the next term in -5141, -4913, -4695, -4493, -4313, -4161? -4043 What comes next: -28459, -54098, -79737, -105376, -131015? -156654 What is the next term in 476773, 476594, 476415, 476236, 476057? 475878 What comes next: 185344, 370646, 555948, 741250, 926552? 1111854 What comes next: 762031, 1523149, 2284267, 3045385, 3806503? 4567621 What comes next: -14860, -15008, -15126, -15202, -15224, -15180? -15058 What is the next term in -84758, -83721, -82684, -81647, -80610, -79573? -78536 What is next in -29963452, -29963459, -29963470, -29963485? -29963504 What is the next term in 229, 304, 377, 442, 493? 524 What comes next: -203771, -203833, -203921, -204035, -204175, -204341, -204533? -204751 What is the next term in 505, 1774, 3827, 6664, 10285, 14690, 19879? 25852 What is the next term in -619724, -619719, -619724, -619745, -619788, -619859? -619964 What is the next term in -1126, -1545, -2266, -3289, -4614, -6241, -8170? -10401 What comes next: 292445173, 584890346, 877335519? 1169780692 What comes next: -26499, -53149, -79951, -106905, -134011, -161269? -188679 What is next in 570148, 570142, 570134, 570124, 570112, 570098? 570082 What is the next term in -44237009, -44237010, -44237011, -44237012? -44237013 What is the next term in 8756, 25777, 54144, 93857, 144916, 207321, 281072? 366169 What is the next term in -3507, -30527, -103855, -246645, -482051, -833227, -1323327, -1975505? -2812915 What is the next term in -5656, -13793, -27360, -46363, -70808, -100701? -136048 What is the next term in -5376, -5388, -5388, -5370, -5328, -5256, -5148? -4998 What is the next term in 1924473, 1924061, 1923649? 1923237 What is next in -2167, -16755, -56207, -132961, -259455? -448127 What is next in 168337, 168126, 167915, 167704, 167493, 167282? 167071 What is next in -3221, -13662, -31067, -55436, -86769, -125066, -170327? -222552 What comes next: 13195, 14555, 15915, 17275, 18635, 19995? 21355 What is next in 11853, 47605, 107273, 190863, 298381, 429833, 585225, 764563? 967853 What is next in -15041613, -30083225, -45124837, -60166449? -75208061 What is next in 13491, 24687, 35883, 47079, 58275? 69471 What comes next: 4459502, 4459507, 4459512, 4459517, 4459522, 4459527? 4459532 What comes next: 18744, 32842, 46938, 61032? 75124 What comes next: -23222, -23841, -24460, -25079, -25698? -26317 What is the next term in 1172, 2337, 4288, 7031, 10572, 14917, 20072, 26043? 32836 What is the next term in -78139, -312138, -702145, -1248166, -1950207, -2808274, -3822373, -4992510? -6318691 What comes next: -2926, -4371, -5830, -7303, -8790? -10291 What comes next: 59891444, 119782873, 179674302? 239565731 What comes next: 876102, 3504374, 7884824, 14017452, 21902258, 31539242, 42928404? 56069744 What is the next term in 28407, 28337, 28221, 28059, 27851, 27597, 27297? 26951 What comes next: 7919, 7501, 6361, 4133, 451, -5051? -12739 What is next in -289728, -289814, -289948, -290124, -290336, -290578, -290844, -291128? -291424 What is the next term in 1320210251, 1320210252, 1320210253, 1320210254? 1320210255 What comes next: -1070212, -2140425, -3210640, -4280857, -5351076? -6421297 What comes next: -740, -2641, -5580, -9563, -14596, -20685, -27836, -36055? -45348 What comes next: 4542, 1951, -640, -3231, -5822? -8413 What is next in 2265821, 2265830, 2265841, 2265854, 2265869, 2265886, 2265905? 2265926 What is next in -285053268, -570106538, -855159808, -1140213078? -1425266348 What is the next term in 1635, 13400, 45341, 107550, 210119, 363140, 576705? 860906 What comes next: -217874, -870351, -1957822, -3480293, -5437770, -7830259, -10657766, -13920297? -17617858 What is next in 7623, 15294, 23041, 30894, 38883, 47038? 55389 What is the next term in -110133, -220504, -330875? -441246 What is next in 11097, 19525, 27953, 36381? 44809 What is next in 1595247, 3190591, 4785935? 6381279 What is the next term in 10441, 41832, 94225, 167668, 262209, 377896, 514777? 672900 What comes next: 1906, 5391, 10452, 17089, 25302, 35091? 46456 What is next in 94049, 96512, 98975, 101438, 103901, 106364? 108827 What is next in -7826900, -15653798, -23480696, -31307594, -39134492? -46961390 What is the next term in -443327, -443280, -443233, -443186, -443139? -443092 What is the next term in 5107202, 10214417, 15321636, 20428859, 25536086? 30643317 What is next in -842, -701, -456, -107, 346, 903, 1564? 2329 What is the next term in 9142, 36068, 80924, 143704, 224402, 323012, 439528, 573944? 726254 What is the next term in -983978, -983854, -983648, -983360, -982990, -982538, -982004? -981388 What is the next term in 92866, 92964, 93074, 93196? 93330 What is next in 166242, 167728, 169214? 170700 What comes next: 2266182, 4532605, 6799028? 9065451 What comes next: 608896, 1217799, 1826702, 2435605, 3044508? 3653411 What is next in 1397399, 279469
{ "pile_set_name": "DM Mathematics" }
is the lowest common multiple of 336 and q? 1008 Calculate the least common multiple of (-7 + 330/45)/((-3368)/(-3366) - 1) and 99. 1683 Calculate the common denominator of 1438/(-60) - 55/275 and 46/1991. 11946 Suppose -3552 = 16*o - 448. Find the common denominator of -123/40 and o/8 + (5 - (-2 - -8)). 40 Suppose -131*y + 3840 = -8*y - 59*y. What is the smallest common multiple of 30 and y? 60 Let h be 5 + -4 - (-5 - -5). Find the common denominator of -7 + (-4024)/(-504) + (0 - h) and 65/21. 63 Let h = 301921797/30738902810 + 3/3727735. What is the common denominator of h and 22/133? 8246 Suppose 3*f = m - 10, -48*m + 51*m - 2*f - 72 = 0. Calculate the lowest common multiple of m and 1589. 6356 Suppose -i = 2*i - 54. Suppose 0 = -87*p - 857 + 3554. Suppose p*u - 372 = -0. What is the least common multiple of i and u? 36 Find the common denominator of -21/272 and ((-185)/30 + -2)*(-416)/(-7616). 816 Suppose 0 = 3*i + 4*y + 71, 0*i - 2*i - 5*y = 52. Find the common denominator of -62/63 and (-1 + (-22)/(-40))*36/i. 315 Let q(p) = 27*p**2 - 248*p - 22. Calculate the least common multiple of q(11) and 2. 1034 Let h = 2775 + -2712. What is the lowest common multiple of 147 and h? 441 Find the common denominator of 109/72 and 3599/312 + 77/(4004/(-624)). 936 What is the least common multiple of 8 - (-4)/((-4)/(-136 + 7 + -5)) and 822? 58362 Let d = 2829/56 - 365/7. What is the common denominator of -131/978 and d? 3912 Suppose -8*k + 1548 = 35*k. What is the lowest common multiple of 60 and k? 180 Let a = 2/71701 - -1362259/2151030. Calculate the common denominator of a and -47/570. 570 What is the smallest common multiple of 306 and (-1)/(5 + 81/18) - 3424/(-38)? 1530 Let a = -772324595813457 + 9104428015109979320447/11788344. Let d = 2/163727 + a. Calculate the common denominator of d and -121/36. 72 Suppose 4*t - 77 - 51 = 0. Calculate the least common multiple of t and (20/7)/((-7)/4*100/(-2450)). 160 Let z = -2945 + 2999. Calculate the lowest common multiple of ((-1)/(-3))/(12/72) and z. 54 Calculate the common denominator of (-66)/(-77) - (-6)/((-1260)/2105) and -139/54. 54 What is the common denominator of 151/12 and 19/696*(2983/(-209) - (-15)/55)? 348 Let u = -12 - -19. Suppose -2*x - 9*x = -22. Suppose -19*h + 119 = -x*h. Calculate the smallest common multiple of h and u. 7 Let o be 5/45*(-3 + 0)*18. Calculate the common denominator of 37/103 and o + (2 - (-510)/42). 721 Suppose -10*b + 45 = -7*b. Let x = b + -30. Let q = x + 31. Calculate the least common multiple of 18 and q. 144 Suppose 0 = 4*v - w - w + 80, -3*w = 5*v + 78. Let g be (-106)/(-13) + v/117. Suppose g*y = 18*y - 80. Calculate the smallest common multiple of 1 and y. 8 Let j = 27984629338846 - 30804360591026004077/1100760. Let n = j - -2/27519. Find the common denominator of n and 85/16. 80 Let o = -12/5 - -73/30. Let u = o - 173/15. Let q = -987/5 - -198. Find the common denominator of u and q. 10 Let t = 1981 - -5148. Calculate the smallest common multiple of 7 and t. 49903 Suppose -z + 5*k = -30 + 5, 5*k + 65 = 5*z. Suppose 3*j = -5*q + 331, 201 = 3*q - z*j + 13*j. Calculate the lowest common multiple of q and 78. 390 Let z = -4890/17 - -74234/255. What is the common denominator of -98/495 and z? 495 Suppose -2*t + r = -10, -4*t + 10 = r - 4. Let d(x) = 9*x**2 - 4*x + 12. Calculate the least common multiple of d(t) and 18. 1260 What is the least common multiple of ((-30)/4 + 4)*2472/(-7) and 30? 6180 Let r = -7082 - -7089. What is the smallest common multiple of r and -3 + 2 - (1 - 58)? 56 Let k be -3 - ((-2)/(-436380))/((-5)/4167379). Let d = k + 1/21819. What is the common denominator of 97/20 and d? 100 Calculate the common denominator of -103/246 and (6088/246)/(-4) - (125 + -131). 246 Suppose -24 + 3 = -2*t - 3*z, t + 3*z = 15. Suppose 5*s = -c - 112, -c + 3*s = 5*s + 124. Calculate the common denominator of 2 - 0 - 43*t/c and 23/38. 418 Let s = 895 - 944. What is the common denominator of (-1)/(-20)*-8 + s/(-460) and 62/(-6)*(-3)/8? 184 Let n(s) = 5*s - 23. Let r = 5 - 0. Let w be n(r). What is the common denominator of -4 + w + (-692)/(-144) and 121/20? 180 Find the common denominator of 15564/3096 - (10/(-6))/(9/(-27)) and -91/18. 774 What is the common denominator of -2/1849 and (14/63)/(30/2259) - (-3)/5? 5547 Let i be (-225)/2*1320/(-550). Suppose -133*d = -148*d + i. Suppose -2*y = b - 47, -7*b + 2*b = 3*y - 81. Calculate the smallest common multiple of d and y. 198 Let k be (-1 - 1)*6*2/(-8). Let r(i) = 10*i**2 + 2*i - 5. Let g be r(k). Suppose 31 = -5*z + g. What is the lowest common multiple of 4 and z? 12 Let y = 10511 + -168185/16. Find the common denominator of 107/200 and y. 400 Let u = 69 + -66. What is the common denominator of 9/9 + 3*u/(-30) and ((-31)/8)/((-1)/(-6))? 20 Let c = -558 - -543. Find the common denominator of 300/1296*42/c and -65/12. 108 Let q(r) = 620*r + 9934. What is the lowest common multiple of 2072 and q(-16)? 2072 Suppose z = -3*w + 349, 2*w - 551 = -2*z + 135. Calculate the least common multiple of 68 and z. 340 Let x = 488/1861109 - -164984526731/46114558802. Let p = x + -1/953. Find the common denominator of -61/2 and p. 26 Let g = -128 + 129. Suppose 47*d - 57*d = -20. Calculate the smallest common multiple of g and d. 2 Let s(p) = -6*p - 4. What is the common denominator of 533/702 - (12/18)/(2/(-6)) and s(6)? 54 Find the common denominator of (6 - 297/(-120))*2/3 and 29/480. 480 What is the common denominator of 8/96*4 + 339/(-570) and -35/18? 1710 Let u(k) = -k**2 + 31*k + 2492. What is the least common multiple of u(47) and 24? 3480 Suppose 33*b = -1757 + 6047. Calculate the smallest common multiple of b and 91. 910 Let d = -419/6 - -1595/24. Let b be 16/(-28) + (-798453)/(-34272). Let z = b + -372/17. What is the common denominator of d and z? 32 Let x = -4489/6 + 756. Let v = -35784 - -7121001/199. Calculate the common denominator of v and x. 1194 Let y be (-40529708)/(-3)*(-15)/(-85). Let t = 1902722375/816 - y. Let l = -52336 - t. What is the common denominator of l and 101/2? 48 Suppose 2*y = -t - 196, -2*t = -5*t - 3*y - 582. Calculate the common denominator of ((-159)/(-108))/(6/8) and (t/135 - 1)/((-6)/9). 270 Let d = 353771/24 - 14738. Let x = 9211/6 - 1520. Calculate the common denominator of x and d. 24 Let f be (-2 + 3)*(526 - 1)/(-5). Find the common denominator of -38/9 and ((-33)/f)/((-48)/200). 126 Find the common denominator of 53/4 and (-515)/(-42)*(-12)/(-40) + 6/(-14). 4 Let j = -34 - -40. Let v be (-2)/j - (-30)/9. Suppose v*u = -4*r + 73, 0 = r - u - u - 32. What is the smallest common multiple of r and 2? 22 Let l(w) = w**2 - 5*w - 108. Let g be l(-15). Let n be (-94)/(2/(1 - -1)). Let o = n + g. What is the smallest common multiple of o and 10? 490 Suppose d = -0*d + 4. Suppose x - 5 = p - 5*p, -d*p = -2*x - 14. Suppose 3*z - 5 = p*f - 0*z, -f + 5*z - 13 = 0. Calculate the least common multiple of f and 8. 8 What is the lowest common multiple of 456 and 46*(-9)/(-18) + (-2 - -7)? 3192 Let w be (-25682)/14 - (-2 - 55/(-35)). Let y = w - -3753/2. What is the common denominator of y and ((-26)/(-10) - 2)*(-177)/(-54)? 30 Let i be (-1 - (-13266)/(-4))*387371632/(-20). Let n = i - 1341264495017653/20874. Let a = n + -3/3479. Calculate the common denominator of a and 4/21. 42 Let u = -2/22383 - 96817/1969704. Calculate the common denominator of -113/30 and u. 1320 Let u(i) = -9*i - 9. Let d be u(2). Let m be (15 + -3)*d/(-6). Let l = m + -48. Calculate the lowest common multiple of l and 27. 54 Let x be -2*9/(-30) - (-199818)/45. Let o = -35463/8 + x. Calculate the common denominator of o and -57/80. 80 Let i = 103243/171 - 5440/19. Let s = 311 - i. Let f = 146275 + -2632883/18. Find the common denominator of f and s. 18 What is the common denominator of 55/48 and 15265/3195 - (-3)/(-4)? 144 Let p be (1 + (-4)/6)/(3/666). Suppose -p = -2*y - 18. Suppose y*a + 50 = 33*a. Calculate the lowest common multiple of 26 and a. 130 Let y = 24 - 49. Let r be 16/10 - 10/y. Suppose -54 = -r*l + 4*c, -5*l - c = -2*l - 53. Calculate the lowest common multiple of 11 and l. 209 Let q = -75470 - -48980053/649. Calculate the common denominator of -101/44 and q. 2596 Let b = -25 - -33. Calculate the common denomi
{ "pile_set_name": "DM Mathematics" }
Let g be q(-3). Let t = g - 23. Let m = 5 - 9. Which is the second biggest value? (a) -3 (b) t (c) m a Let w = 42 - 41.57. Let j = -2.57 - w. Which is the smallest value? (a) 2/3 (b) 1 (c) j (d) -1.7 c Let p = -485 + 484.76. What is the third smallest value in p, -2/15, 0.1? 0.1 Let i = 384 - 459.9. Let l = 76 + i. Which is the third biggest value? (a) -2 (b) l (c) -0.15 a Let u = 0.41 - -0.68. Let f = u - 8.09. What is the smallest value in f, 0.1, -0.7, 3? f Let n = 31449 - 31413.346. Let g = -0.446 - n. Let h = g + 36. Which is the third biggest value? (a) 0.1 (b) -4 (c) h b Let q = -101 + 101.1. Which is the third smallest value? (a) q (b) -1 (c) -25 a Let x = -0.2 - -0.1. Let v(i) be the first derivative of -i**2 + 2*i - 7. Let p be v(3). What is the second smallest value in x, 0.3, p? x Let x = 0.28 + 0.12. Let r = -18 - -51. Let b = r + -37. What is the third smallest value in 5, x, b? 5 Let r = -14.4 + 39.4. Which is the second smallest value? (a) r (b) -14 (c) 2 c Let y = 0 + 0. Let m = y + 2. Let o be -2 - (444/(-468) + -1). What is the second biggest value in -1, m, o? o Let c be ((-4)/16)/(4 - (-270)/(-48)). What is the third biggest value in 0.07, -6, c? -6 Let l be 8/10 + 1*780/25. Let r be (110/42 - 3)*24/l. Let s = -3 + 1. Which is the smallest value? (a) s (b) r (c) 2/9 a Let i = 2.82948 - -0.17052. Let j be (-1)/4 - (-21)/(-108). Let l = -1 + 2. Which is the smallest value? (a) i (b) l (c) j c Let l be 28/16 + (1 - 2). Let d = -0.0657 - -0.0657. Which is the biggest value? (a) -2/3 (b) d (c) l c Let w = 144.9 + -165.2. Which is the second smallest value? (a) w (b) -0.5 (c) 2/11 b Let w = -179 + 189. What is the fourth biggest value in 2/7, w, 1, 2/9? 2/9 Suppose -7*g + 2*g + 5 = 5*r, -2*r + g = 4. Let f be (4/(-36))/(4/12). Which is the second smallest value? (a) -4 (b) 2/7 (c) f (d) r d Let t = -1/130 - 251/1170. Which is the third biggest value? (a) t (b) -9/5 (c) 1 b Let u = -0.1 - -0.1. Let k(j) = j**3 + 6*j**2 - 4*j - 20. Let b be k(-6). Let i be b/(-18) + (-12)/(-27). What is the third smallest value in u, -3, i? i Let g = 0.08 - 0.08. Let s = -29 + 41. Let z = s + -17. Which is the third biggest value? (a) -1/7 (b) z (c) g b Let c = 1451/78 - 231/13. What is the biggest value in c, 1, 4/5? 1 Let k = 11/2 + -6. Let r = 3 + -3.4. Let m = 2.22 - 0.22. Which is the third biggest value? (a) k (b) r (c) m a Let w = -0.05 - 0.95. Let m = -3/251 + 565/5271. Which is the third biggest value? (a) m (b) -3 (c) -3/5 (d) w d Let r = 981 + -972. Which is the second smallest value? (a) 4 (b) -2 (c) r (d) 0 d Let t = -58.2 + -5.8. Let g = 64.3 + t. What is the second smallest value in g, -5, 2/15? 2/15 Suppose 18 = -136*r + 142*r. What is the third smallest value in -4/7, -4, r? r Let j be (2/(-15))/((-29)/1015) - 5. Which is the third biggest value? (a) j (b) 2 (c) -4 c Suppose -2*w - 22 - 2 = 4*b, -8 = 4*w - 2*b. What is the second biggest value in w, 0.3, 2/11, -0.1? 2/11 Let n = -2.5 + -3.9. Let z = n + 6.3. What is the biggest value in 0.3, 2/3, z, -5? 2/3 Let l = 0.11 + 39.89. Let o = -49 + l. Let t = 6 + o. Which is the smallest value? (a) -3/5 (b) t (c) -0.3 b Let r = -113 + 397. Suppose r = 4*i - 368. Let x = -1465/9 + i. Which is the smallest value? (a) x (b) 4 (c) 2 a Let f be (-2)/(-4)*-1 - (-3930)/(-84). Let h = 47 + f. Which is the second biggest value? (a) h (b) -1/11 (c) 4 (d) -3 b Let l = -557.357 - -557. Let c = l - -0.057. Let z = 0.6 + -1. What is the second smallest value in z, 4, c? c Let r = 1453 + -1444. Which is the smallest value? (a) -3 (b) 2/3 (c) r (d) -0.4 a Let o = -2/191 + 388/573. What is the second biggest value in o, -4/7, -0.067? -0.067 Let z = -23 - -22.86. Let r = -2.14 - z. What is the smallest value in -5, r, -0.1? -5 Let v = 10 - 4. Let h = v + -9. What is the second smallest value in h, 9, -5? h Let o be 234/39 + (2 - 53/7). Which is the fourth smallest value? (a) 0.5 (b) -5/2 (c) o (d) 0.31 a Let v = 223 + -227. Let z = -0.05 - 0.01. Which is the second smallest value? (a) v (b) -1/2 (c) z b Let u = -12 - -11.89. Let o = -0.6 - -0.5. Let p be 1/4 - 27/12. What is the second smallest value in u, o, p? u Let y be (4/(-6))/(3/(-54)). Let i be (-2)/4 + 66/y. Suppose -i*d + 4 = -1. What is the third smallest value in -4/3, -0.3, d? d Let t be -21*(-6)/90 + -1. What is the smallest value in 0.1, -130, t? -130 Let m = -0.01 + 0.41. Let q be ((-3)/2)/((-2)/(-4)). Which is the third biggest value? (a) q (b) 2/13 (c) m a Let n be 1 + (-5)/(-1 + 21). Which is the fourth smallest value? (a) 2/27 (b) -0.2 (c) n (d) 1 d Let t = 8.6 - 2.9. Let n = 5.2 - t. Which is the third biggest value? (a) 0.3 (b) n (c) 4 (d) -1 b Suppose 1 = -7*b + 8*b. Let l be 2*(2/b - (-33)/(-18)). Let m = 0.5 - 1. What is the second smallest value in m, 5, l? l Suppose -183 + 191 = -4*t. Let x be (4/(-6))/(1/3). Let u be ((-7)/(-70))/(x/8). Which is the smallest value? (a) t (b) u (c) 2/15 a Suppose 0 = 57*q - 58*q + 1. Let v = 0.03 - 5.03. What is the second smallest value in v, 1/3, q? 1/3 Let l = 469237/60 + -7821. Let d = l + 2/15. Let z = 5.5 - 1.5. Which is the third biggest value? (a) z (b) -2 (c) d b Suppose -96*h + 90*h = 0. Let w = 43/18 - 931/450. Let q = 26/75 + w. Which is the smallest value? (a) 0.3 (b) q (c) h c Let a be (0 - -9)*(-73)/73. What is the third smallest value in -4, a, -36? -4 Let s(r) = -r - 3. Let g be (2 + 0)*(36/8 - 5). Let k be s(g). Which is the second smallest value? (a) 5 (b) 0.1 (c) -0.4 (d) k c Let t = -0.97 + -0.03. Let i = 0.45 - 0.05. Let p(k) = -k**2 + 2*k + 11. Let s be p(4). Which is the second biggest value? (a) s (b) i (c) t b Let a = 640 - 639.96. What is the second smallest value in a, 117, -0.4? a Suppose -14*f + 17*f = 21. Suppose -13*h + f*h = -30. What is the second smallest value in 3/7, h, 1, 4/5? 4/5 Let m be (-2)/(-5) - (-196)/210. What is the second biggest value in m, 1/25, -4? 1/25 Let j = 0.18 + 1.72. Suppose 69*h = 66*h - 3. Which is the second biggest value? (a) h (b) 5 (c) j c Let u be (-1 + 170/165)/((-2)/12). Let y be (2/(-2))/((-14)/5). Let i = y + 8/7. Which is the third smallest value? (a) i (b) u (c) 2 c Let c = -42.93 + -0.07. Let q = -43.3 - c. What is the second biggest value in q, 3, -1? q Let q = 1.612 - 1.982. What is the third smallest value in 3, -5, q, -2/13? -2/13 Let w = 25.88 - 0.88. Let q = 26 - w. Which is the third smallest value? (a) 3 (b) 0.02 (c) q (d) 0 c Let t = -61.8 + 61.76. Which is the smallest value? (a) 11 (b) t (c) -1/2 (d) -1 d Suppose 4*l = z - 19, -2*l - l - 13 = -2*z. Let a = 1606 + -1606. What is the biggest value in a, 2/9, l? 2/9 Suppose -675 = -3*h - 0*h. Let f be ((-10)/(-7))/(15/h). Let n = f + -771/35. Which is the smallest value? (a) 3 (b) n (c) -1/3 b Let s(z) = -2*z**3 - 8*z**2 + 15*z + 23. Let m be s(-5). Let u be (-13)/4 + (-6 - -9). Which is the third biggest value? (a) m (b) u (c) -0.9 a Let n = -6.63 - -6.83. Which is the second smallest value? (a) -2 (b) -0.17 (c) n b Let j be 3/(-7) - 198/(-658). Let t = -124/235 - j. What is the second smallest value in t, -1, -1/9? t Let g = 3.9902 - -0.0098. Let y = 0 + -9. Which is the third biggest value? (a) 1/2 (b) 3 (c) y (d) g a Let o = -347/2 - -176. Which is the second smallest value? (a) 4 (b) -25 (c) o c Let w = 1004.5 + -1004. Let r = 20 + -59/3. Which is the third biggest value? (a) -5 (b) r (c) -1/4 (d) w c Let w be -1 + 4 + 2/1. Suppose -w*p = -d + 9, 4*p - d = 3*d - 4. Let b be p*2/4*-5. What is the biggest value in b, -1, -0.4? b Let i = -2.2 + -0.8. Let b = i - -3.05. Let y = -2.3 - -3.3. What is the third smallest value in 0.4, y, b? y Let r(k) = -2*k**2 + 8*k - 1. Let o be r(7). Let f = o - -305/7. Let g = -3.1 + 3. Which is the smallest value? (a) g (b) f (c) 1 a Let o = -338 - -337. Let z = 8.6 - 9. Which is the second biggest value? (a) 1 (b) z (c) o b Let u = -266 - -265.9. Which is the second biggest value? (a) u (b) 3/10 (c) -5 a Suppose 0 = 2*n - 6*n - 2*m + 10, -4 = 4*m. Let w be (n + 0)/(72/(-48)). Which is the smallest value? (a) -1 (b) -0.3 (c) w (d) 3/2 c Suppose 5 + 3 = -2*q. Let o be ((-48)/10)/
{ "pile_set_name": "DM Mathematics" }
1611, 1381946? 2*z**2 + 230313*z - 4 What is the q'th term of -9894, -12586, -17072, -23352, -31426, -41294? -897*q**2 - q - 8996 What is the g'th term of -1199, -2583, -3979, -5393, -6831? -g**3 - 1377*g + 179 What is the c'th term of -143852, -143891, -143956, -144047, -144164? -13*c**2 - 143839 What is the q'th term of 1363835068, 2727670137, 4091505206? 1363835069*q - 1 What is the w'th term of 76675, 306668, 689993, 1226650? 76666*w**2 - 5*w + 14 What is the j'th term of 1730421, 3460827, 5191233, 6921639, 8652045, 10382451? 1730406*j + 15 What is the d'th term of -13259408, -13259403, -13259394, -13259381, -13259364, -13259343? 2*d**2 - d - 13259409 What is the f'th term of 434785, 434791, 434797, 434803, 434809? 6*f + 434779 What is the n'th term of 2276200, 2276228, 2276256, 2276284, 2276312, 2276340? 28*n + 2276172 What is the p'th term of -1317280, -2634559, -3951838? -1317279*p - 1 What is the s'th term of 10716, 9668, 7936, 5520, 2420, -1364? -342*s**2 - 22*s + 11080 What is the o'th term of -112, -230, -470, -892, -1556, -2522, -3850? -10*o**3 - o**2 - 45*o - 56 What is the o'th term of -76187, -75628, -74701, -73406? 184*o**2 + 7*o - 76378 What is the y'th term of -1655, -6314, -14085, -24974, -38987, -56130, -76409? -y**3 - 1550*y**2 - 2*y - 102 What is the f'th term of -598935, -598939, -598945, -598953, -598963, -598975? -f**2 - f - 598933 What is the r'th term of -958, -8399, -28574, -67843, -132566, -229103? -1060*r**3 - 7*r**2 + 109 What is the k'th term of 567661932, 1135323865, 1702985798, 2270647731? 567661933*k - 1 What is the i'th term of 1785, 13922, 46895, 111126, 217037? 1737*i**3 - 4*i**2 - 10*i + 62 What is the m'th term of 1026884, 2053770, 3080656, 4107542? 1026886*m - 2 What is the y'th term of 8385, 33283, 74693, 132615, 207049? 8256*y**2 + 130*y - 1 What is the q'th term of 6199983, 12399955, 18599925, 24799893, 30999859, 37199823, 43399785? -q**2 + 6199975*q + 9 What is the x'th term of 11976, 14988, 18000, 21012, 24024? 3012*x + 8964 What is the j'th term of 312257, 624552, 936845, 1249136, 1561425? -j**2 + 312298*j - 40 What is the s'th term of 10305743, 10305745, 10305747? 2*s + 10305741 What is the y'th term of -112505, -449996, -1012477, -1799948, -2812409, -4049860? -112495*y**2 - 6*y - 4 What is the y'th term of -37612, -150157, -337636, -600049, -937396? -37467*y**2 - 144*y - 1 What is the z'th term of 5650339, 5650359, 5650379? 20*z + 5650319 What is the x'th term of 8022794, 8022798, 8022802, 8022806, 8022810, 8022814? 4*x + 8022790 What is the q'th term of 30580, 30532, 30458, 30352, 30208, 30020, 29782, 29488? -q**3 - 7*q**2 - 20*q + 30608 What is the d'th term of 107421, 92997, 78583, 64185, 49809, 35461? d**3 - d**2 - 14428*d + 121849 What is the d'th term of 1102, 2087, 2958, 3715, 4358, 4887? -57*d**2 + 1156*d + 3 What is the j'th term of 24978, 29101, 33224? 4123*j + 20855 What is the y'th term of -227, -375, -393, -287, -63, 273, 715, 1257? -y**3 + 71*y**2 - 354*y + 57 What is the v'th term of -928267, -1856528, -2784789, -3713050? -928261*v - 6 What is the t'th term of -971, -2158, -4141, -6926, -10519? -t**3 - 392*t**2 - 4*t - 574 What is the a'th term of 690782, 690703, 690482, 690047, 689326, 688247, 686738? -12*a**3 + a**2 + 2*a + 690791 What is the k'th term of 2219, 2029, 1719, 1295, 763, 129, -601, -1421? k**3 - 66*k**2 + k + 2283 What is the t'th term of -26496306, -26496283, -26496244, -26496189, -26496118, -26496031, -26495928? 8*t**2 - t - 26496313 What is the j'th term of -7750560, -7750556, -7750552, -7750548, -7750544? 4*j - 7750564 What is the k'th term of -2585, -10435, -23539, -41897, -65509, -94375? -2627*k**2 + 31*k + 11 What is the i'th term of 438, 776, 1202, 1758, 2486, 3428, 4626? 7*i**3 + 2*i**2 + 283*i + 146 What is the h'th term of 861686, 1723253, 2584820? 861567*h + 119 What is the j'th term of -6079143, -6079267, -6079391, -6079515, -6079639? -124*j - 6079019 What is the t'th term of -24244780, -24244749, -24244718, -24244687, -24244656? 31*t - 24244811 What is the j'th term of -1462, -1441, -1426, -1417, -1414, -1417, -1426? -3*j**2 + 30*j - 1489 What is the o'th term of -676441, -1352899, -2029357, -2705815? -676458*o + 17 What is the c'th term of -8388, -33443, -75172, -133569, -208628, -300343, -408708? c**3 - 8343*c**2 - 33*c - 13 What is the m'th term of 92746, 185446, 278120, 370756, 463342, 555866, 648316, 740680? -2*m**3 - m**2 + 92717*m + 32 What is the p'th term of 88373, 176849, 265367, 353921, 442505, 531113, 619739, 708377? -p**3 + 27*p**2 + 88402*p - 55 What is the k'th term of -251, -1083, -2775, -5573, -9723, -15471? -41*k**3 - 184*k**2 + 7*k - 33 What is the n'th term of -5867449, -5867454, -5867463, -5867476, -5867493, -5867514? -2*n**2 + n - 5867448 What is the r'th term of -9546, -38771, -87474, -155661, -243338, -350511, -477186? -r**3 - 9733*r**2 - 19*r + 207 What is the s'th term of 727817, 727854, 727921, 728018, 728145, 728302? 15*s**2 - 8*s + 727810 What is the g'th term of -1104024174, -1104024175, -1104024176, -1104024177? -g - 1104024173 What is the k'th term of -1609, -6546, -14807, -26392? -1662*k**2 + 49*k + 4 What is the a'th term of 922540, 922533, 922526, 922519, 922512? -7*a + 922547 What is the z'th term of -38165, -152523, -343113, -609929, -952965, -1372215, -1867673, -2439333? z**3 - 38122*z**2 + z - 45 What is the w'th term of 4771, 9754, 14949, 20356, 25975, 31806? 106*w**2 + 4665*w What is the r'th term of 2692, 23856, 81982, 195550, 383040, 662932? 3080*r**3 + r**2 - 399*r + 10 What is the u'th term of -4757, -9572, -14427, -19322, -24257, -29232, -34247? -20*u**2 - 4755*u + 18 What is the b'th term of 3967, 15708, 35271, 62650, 97839, 140832, 191623, 250206? -b**3 + 3917*b**2 - 3*b + 54 What is the x'th term of 300713607, 601427214, 902140821, 1202854428, 1503568035? 300713607*x What is the r'th term of -8623044, -8623047, -8623050, -8623053, -8623056? -3*r - 8623041 What is the a'th term of 52, 122, 286, 580, 1040, 1702, 2602? 6*a**3 + 11*a**2 - 5*a + 40 What is the m'th term of -1880, -6236, -13072, -22388, -34184, -48460? -1240*m**2 - 636*m - 4 What is the z'th term of -406, 365, 2430, 6437, 13034, 22869? 108*z**3 - z**2 + 18*z - 531 What is the s'th term of -1885185, -7540638, -16966357, -30162342, -47128593, -67865110, -92371893? -1885133*s**2 - 54*s + 2 What is the w'th term of -4735063, -9470125, -14205187? -4735062*w - 1 What is the o'th term of -26354, -53915, -81476, -109037, -136598? -27561*o + 1207 What is the x'th term of 8388, 16669, 24858, 32955, 40960, 48873? -46*x**2 + 8419*x + 15 What is the f'th term of 32047, 34225, 36405, 38587, 40771, 42957, 45145? f**2 + 2175*f + 29871 What is the o'th term of -117, -211, -495, -1071, -2041, -3507, -5571? -17*o**3 + 7*o**2 + 4*o - 111 What is the a'th term of 17958, 18432, 18906, 19380, 19854? 474*a + 17484 What is the v'th term of -10062, -10119, -10158, -10173, -10158, -10107, -10014, -9873? v**3 + 3*v**2 - 73*v - 9993 What is the z'th term of 1150, 659, 148, -389, -958? -z**3 - 4*z**2 - 472*z + 1627 What is the z'th term of -10287, -6037, 5497, 27957, 64985, 120223? 607*z**3 + z - 10895 What is the z'th term of 1198313477, 1198313476, 1198313475? -z + 1198313478 What is the h'th term of -42496, -42319, -42142, -41965, -41788? 177*h - 42673 What is the h'th term of -5603, -13933, -24991, -38783, -55315, -74593? -h**3 - 1358*h**2 - 4249*h + 5 What is the a'th term of 17, 207, 579, 1127, 1845? -a**3 + 97*a**2 - 94*a + 15 What is the d'th term of 26497, 53151, 79805, 106459, 133113, 159767? 26654*d - 157 What is the n'th term of -9310466, -37241863, -83794190, -148967447? -9310465*n**2 - 2*n + 1 What is the o'th term of 2164, 2491, 3048, 3847, 4900? 2*o**3 + 103*o**2 + 4*o + 2055 What is the b'th term of -44394, -86259, -128122, -169983? b**2 - 41868*b - 2527 What is the k'th term of 409, 916, 1687, 2854, 4549, 6904? 22*k**3 + 353*k + 34 What is the z'th term of -257886, -1031361, -2320422, -4125069, -6445302, -9281121, -12632526? -257793*z**2 - 96*z + 3 What is the d'th term of -107878, -107864, -107830, -107776, -107702, -107608, -107494? 10*d**2 - 16*d - 107872 What is the y'th term of -30069, -30061, -30049, -30033? 2*y**2 + 2*y - 30073 What is the n't
{ "pile_set_name": "DM Mathematics" }
2) to base 12. -96289 125233524 (base 7) to base 13 188772c Convert -a51d (base 15) to base 13. -12b6b Convert -da5dc (base 14) to base 7. -4326265 What is -1002211020 (base 3) in base 13? -9b85 What is -10100011000001110011 (base 2) in base 16? -a3073 What is -1963fe (base 16) in base 7? -20100210 Convert -544a46 (base 11) to base 16. -d4803 -112b625 (base 12) to base 9 -6173462 -220001201221 (base 3) to base 12 -1aa137 Convert 1111024 (base 6) to base 5. 3242320 Convert 7a661 (base 11) to base 13. 410b6 -5453132 (base 6) to base 3 -111210112002 79241 (base 11) to base 5 12133003 111330463 (base 7) to base 15 8d918d 160852 (base 12) to base 5 43440322 Convert -100011021110 (base 3) to base 8. -540050 What is -224323 (base 6) in base 2? -100101010111011 Convert 4643241 (base 8) to base 10. 1263265 Convert 221074 (base 10) to base 3. 102020020221 1100111100010001 (base 2) to base 9 80638 -1ac769 (base 16) to base 8 -6543551 52332322 (base 6) to base 7 15632465 Convert -3020105 (base 6) to base 16. -22d09 Convert 594611 (base 12) to base 9. 2632314 -1312021211 (base 4) to base 2 -1110110001001100101 561209 (base 10) to base 5 120424314 Convert -20045515 (base 7) to base 2. -110010100111100100110 Convert -10444255 (base 6) to base 5. -40122240 -144110 (base 11) to base 6 -4453555 What is 23375 (base 15) in base 13? 3c089 What is ba2a (base 14) in base 15? 9807 What is -26ed (base 16) in base 8? -23355 What is -3941513 (base 11) in base 13? -154c477 Convert 70377 (base 12) to base 5. 14130200 What is 247410 (base 8) in base 11? 59491 -2221112121222 (base 3) to base 13 -42a805 -1224423420 (base 5) to base 11 -1747470 What is -207016 (base 10) in base 8? -624250 Convert 3c46bb (base 13) to base 8. 5460307 What is -12260a (base 12) in base 11? -1913aa What is 46190 (base 10) in base 6? 553502 -2000122220020 (base 3) to base 15 -163bd9 -315173 (base 9) to base 8 -556154 Convert -303514312 (base 6) to base 7. -62240402 Convert -41b7c (base 14) to base 12. -779aa What is -32213263 (base 7) in base 5? -1200234424 What is -28024 (base 9) in base 13? -8839 What is -101210011221210 (base 3) in base 2? -10101110111010000100101 Convert -6275236 (base 8) to base 11. -a405a1 -2075660 (base 10) to base 12 -841238 What is -530a898 (base 12) in base 16? -ef7c74 -819900 (base 12) to base 9 -3731200 -37ce27 (base 16) to base 8 -15747047 What is -13212312221 (base 4) in base 10? -1994153 What is -210544552 (base 6) in base 13? -9bcc84 What is 672572 (base 8) in base 5? 24223212 -491625 (base 11) to base 16 -bdf49 Convert -2640b (base 15) to base 2. -11101111000101011 -20310200000 (base 4) to base 11 -133a203 What is 2201200100 (base 3) in base 15? 10dac Convert -12054410 (base 6) to base 9. -640246 What is -20001101000121 (base 3) in base 2? -1100010001000100010011 What is 315d0 (base 16) in base 3? 101021100121 Convert 210020102 (base 5) to base 3. 1121201121000 2d8077 (base 14) to base 5 402101423 What is -68165a (base 12) in base 5? -411132132 Convert 646645 (base 7) to base 11. 77854 17823c (base 13) to base 5 122323220 -9e4c9e (base 16) to base 12 -3583792 Convert -1dc4df (base 16) to base 11. -1112855 What is -546eb (base 15) in base 3? -111121220012 2323534 (base 6) to base 13 42871 Convert -1a0b0 (base 15) to base 6. -1451220 35054 (base 13) to base 15 1d9e2 What is -503270 (base 8) in base 14? -4449a What is 1936252 (base 11) in base 16? 31f20c What is -81412a (base 11) in base 9? -2413857 -32571 (base 8) to base 5 -414224 Convert 56e2 (base 16) to base 14. 816a Convert -211032222 (base 4) to base 8. -451652 What is 7dbf9a (base 16) in base 2? 11111011011111110011010 Convert -68917 (base 16) to base 4. -1220210113 What is 3125231 (base 6) in base 10? 151507 What is -15520 (base 10) in base 6? -155504 What is -a3744 (base 14) in base 3? -202000020002 1011101100110011101 (base 2) to base 10 383389 Convert -2610ba (base 13) to base 12. -382326 Convert -121200112020102 (base 3) to base 12. -2b77955 What is -1a1471 (base 12) in base 9? -768044 What is -33330 (base 4) in base 11? -848 Convert -73025 (base 13) to base 12. -9b645 What is -3403341 (base 6) in base 9? -281657 What is 14201456 (base 8) in base 7? 36205442 What is -20122031031 (base 4) in base 10? -2204493 -1212100211 (base 3) to base 13 -13933 Convert 4c047a (base 13) to base 15. 261c71 Convert -4f3ce (base 16) to base 3. -121111012200 What is 112430453 (base 6) in base 15? 2b3a23 What is -2113133 (base 5) in base 14? -cc9c What is 1101021020 (base 3) in base 13? c49b What is -101111100101111011011 (base 2) in base 14? -2c849d -1333130100 (base 4) to base 3 -222112001100 Convert 41244334 (base 5) to base 16. 5263d Convert -132311201100 (base 4) to base 10. -8083536 -31345202 (base 7) to base 5 -1134300433 What is -12275 (base 13) in base 15? -9d5e Convert f1b (base 16) to base 14. 15a3 -5011b (base 13) to base 8 -427226 -804cce (base 16) to base 4 -200010303032 -110320300 (base 4) to base 10 -85552 What is -20021000032 (base 4) in base 16? -20900e 131121211 (base 4) to base 2 11101011001100101 What is -264499 (base 10) in base 5? -31430444 What is -11911 (base 12) in base 4? -11303131 Convert -13012433 (base 5) to base 12. -60ab5 -1674014 (base 8) to base 5 -111130414 Convert 1b90 (base 13) to base 11. 3154 What is -202121011001 (base 3) in base 5? -100433213 Convert -100001010110011110010 (base 2) to base 13. -2c3575 What is 747093 (base 14) in base 16? 3c15e9 31240033 (base 6) to base 11 56a677 What is -6c15a (base 13) in base 9? -331511 What is -10001101111101000010011 (base 2) in base 8? -21575023 What is 140173 (base 10) in base 2? 100010001110001101 Convert 201102010 (base 4) to base 12. 66a84 Convert 116533010 (base 7) to base 8. 34132620 641763 (base 14) to base 3 20100222002101 14103410 (base 5) to base 7 1140332 Convert 11142304 (base 5) to base 12. 49848 Convert -1402621 (base 7) to base 13. -667ab What is -278910 (base 13) in base 10? -961623 Convert 4096395 (base 11) to base 9. 14533756 -231414234 (base 5) to base 10 -1044944 Convert -111022100101 (base 3) to base 15. -52944 -110526 (base 11) to base 2 -101011000011000101 What is 40905 (base 11) in base 12? 2a636 56860 (base 13) to base 3 21222221021 What is 612563 (base 7) in base 16? 1971b 2513214 (base 6) to base 9 224101 What is -2221200000122 (base 3) in base 16? -17ed60 -11004404 (base 5) to base 8 -270222 What is 1311402 (base 7) in base 13? 5caba What is -4a0591 (base 11) in base 2? -11000001001100010111 -14266654 (base 8) to base 3 -20002120112120 What is 222085 (base 9) in base 4? 200122103 Convert -2801b8 (base 16) to base 14. -4c36d2 Convert -4ac2 (base 13) to base 14. -3c3a Convert -3203011012 (base 4) to base 15. -1358cd What is 4356054 (base 7) in base 2? 10000010101001001111 What is -d12dac (base 14) in base 7? -113552605 -33761b (base 16) to base 2 -1100110111011000011011 Convert -728dd (base 14) to base 11. -179538 2130244132 (base 5) to base 10 4540542 What is 1123737 (base 8) in base 11? 199271 -34422303 (base 5) to base 10 -310953 121017 (base 8) to base 5 2311422 Convert -10440321 (base 6) to base 10. -316345 -73060 (base 15) to base 4 -1121000232 Convert -981036 (base 10) to base 3. -1211211201200 What is 110242 (base 10) in base 12? 5396a 11665 (base 11) to base 6 205345 Convert -311110220112 (base 4) to base 13. -2b854b1 -45206 (base 11) to base 8 -177673 Convert -1000000011001111100001 (base 2) to base 4. -20003033201 Convert -4700a (base 11) to base 15. -151b1 Convert 16adac (base 14) to base 6. 25040324 What is 1022213210 (base 5) in base 6? 114012042 What is 52050512 (base 6) in base 5? 340442120 What is -20141100243 (base 5) in base 4? -1031100220032 What is 350420323 (base 6) in base 2? 11000101100001010011011 -22000220200 (base 3) to base 2 -100110100110110010 Convert 3473295 (base 12) to base 13. 212a011 21101112001 (base 3) to base 11 9a308 What is -1465242 (base 11) in base 15? -348d04 -1514f (base 16) to base 6 -1503435 669856 (base 14) to base 16 352884 Convert -16600ba (base 12) to base 10. -4603534 What is -194ad (base 15) in base 13? -2b477 What is 1a2a71 (base 11) in base 5? 34431121 Convert 2de7 (base 15) to base 11. 7483 Convert 5670c0 (base 13) to base 2. 111110010110111100110 What is 212030
{ "pile_set_name": "DM Mathematics" }
nd (-69*r + 52*r - 1 + 36*r)*(2*r - 4*r + r). -19*r**2 + r Expand (-30 + 30 - 7*a)*((-3 - 1 + 6)*(0 + 2 + 0) + 1 - 2 + 6). -63*a Expand (0*x + 4*x - x)*(-8 - 4 - 3). -45*x Expand (o**3 + 0*o**3 + o**3)*(-4*o**2 + 3*o**2 + 6 + 8). -2*o**5 + 28*o**3 Expand (2*q + 2*q - 2*q)*(-q - 2 + 2)*(3 - 3 - q**2) - 2*q**4 + 3*q**4 - 2*q**4. q**4 Expand (-1 + 1 - 2*t)*(4 - 5 - 2)*(2*t - t + 3*t). 24*t**2 Expand (2 - 2 - l)*(l + 2*l - 2*l)*(-4 + 0 - 4). 8*l**2 Expand (-2 + 5 - 5)*(p**2 - p**2 + 2*p**3) + 13*p**3 + 22*p**3 - 7*p**3. 24*p**3 Expand (0 + 2*y + 0 + (-y + 2*y + y)*(-3 + 2 - 2))*(y**3 - y**3 - 2*y**4). 8*y**5 Expand (n + 4 - 4)*(-19*n - n - 26*n). -46*n**2 Expand (r + 2*r - 2*r)*(r + 2*r + 6 - 2*r). r**2 + 6*r Expand (8 - 8 + 5*x)*(1 - 4 + 1). -10*x Expand 3*m**4 - 3*m**4 - m**4 - 3*m**4 - m**4 + 3*m**4 + (-2*m**4 + 0*m**4 + 4*m**4)*(-1 + 0 - 1) - m**4 - 3*m**4 + 5*m**4 + 2*m**3 - 5*m**4 + 5*m**4 - 3*m**4. -8*m**4 + 2*m**3 Expand (24 - 26 + 19*g - 4*g - 2*g**2)*(2 - 4 + 4). -4*g**2 + 30*g - 4 Expand (-3 + 5 + 1)*(3*a + 4*a - 5*a). 6*a Expand (t - 3*t + 4*t)*(5 + 0 - 4)*(1 - 6 - 3). -16*t Expand (0 + 9 + 6 + 6)*(4 + p**2 - 4). 21*p**2 Expand (1 + 0 + 2)*(0*g + 0*g - g**2) + (0*g + 5*g - 4*g)*(23 - 7*g - 23) + (-1 + 1 + 2*g)*(1 - 2*g - 1). -14*g**2 Expand (2*l**3 - l + l + 3)*(-4*l + l + 0*l). -6*l**4 - 9*l Expand -3*b - 2*b + 3*b + (-7*b - b + 0*b)*(-1 - 2 + 1 + (-3 + 0 + 2)*(3 + 0 - 1) - 2 + 3 - 2). 38*b Expand (-2*b**3 + 10*b**3 - 5*b**3)*(0*b - 2*b**2 - 4*b + 2*b) - 2*b**5 - 2*b + 2*b. -8*b**5 - 6*b**4 Expand -6*r + 5*r + 3*r + (4 - 3 - 2)*(-1 - r + 1) + 2*r + 3*r - 3*r - 2*r + 13 + 3*r - 17. 6*r - 4 Expand (4 + 2 - 2)*(-n**3 + 5*n**5 - n**3 - n**5). 16*n**5 - 8*n**3 Expand (3 + 0 - 1)*(16*a - 24*a - 41*a) + (3 - 4 + 2)*(-a - a + a). -99*a Expand (-4*x**4 - 12*x**4 + 0*x**4)*(0 + 0 - 3) + 4*x**4 - 2*x**3 - x**4 - 5*x**4. 46*x**4 - 2*x**3 Expand (2 + 2*r - 2)*(-4*r**2 - 9*r + 9*r)*(6 - 3 - 4)*(-3*r + 3*r + 2*r). 16*r**4 Expand (4*i**4 + 0*i**4 - 2*i**4)*(0 + 0 + 2*i) + i - 2*i**5 - i - 3*i**5 + 5*i**3 - 5*i**3 - 2*i + 4*i**5 + 2*i. 3*i**5 Expand (0*k + 5*k + k)*(3 - 3 + 2*k) - 2*k**2 + 0*k**2 + 0*k**2 + 0 + k**2 + 0 - k**2 + 0*k**2 - k**2. 9*k**2 Expand (-2*l**4 - 4*l**4 + 4*l**4)*(-4 + 0 + 0). 8*l**4 Expand (-4*u + 4*u - u**2)*(8 - 5*u**3 - 8). 5*u**5 Expand -2*d**4 + d**2 - d**2 + 4*d**4 - 4*d**4 + d**4 + (-3 + 5 - 1)*(-6*d**4 + 3*d**4 + 2*d**4) + 1 - 2*d**4 - 1 + 3*d**4 + 0*d**4 + 0*d**4. -d**4 Expand (-3*k**3 - 6*k**3 + 0*k**3)*(-4 + 0 + 3) + 2*k**3 - 2*k**3 + 2*k**3. 11*k**3 Expand (9*k + 6*k + 3*k)*(0*k - 4*k + 3*k). -18*k**2 Expand (-4*x**2 - x**2 + 4*x**2)*(5*x**2 - 4*x**2 - 2*x**2) - 12 + x**4 + 47*x**3 - 47*x**3 - x. 2*x**4 - x - 12 Expand (3 + 5 - 4)*(5*d - 3 + 3)*(2 + 1 - 1). 40*d Expand (3*v**4 - 2*v**4 - 3*v**4)*(0 + 3 - 5*v + 4*v). 2*v**5 - 6*v**4 Expand (2 - 1 - 2*q + 0*q + 3*q**2)*(-4*q + 12*q + 4*q). 36*q**3 - 24*q**2 + 12*q Expand (0*x + 4*x - 5*x)*(4 + 1 - 4 - 1 + 1 - 1 - 1 + 4 - 1 - 3 - 1 + 2 + (1 + 2 - 1)*(-5 + 2 + 4) + 4 - 4 - 1). -x Expand (y - 8*y + y)*(-1 + y + 4*y - 3*y). -12*y**2 + 6*y Expand (96 + 62*f - 96)*(0*f + f + 2*f)*(2 + 1 - 1). 372*f**2 Expand -5*o**2 + 4*o**2 + 6*o**2 + 3*o**2 + 0*o**2 + o**2 + (-6*o + o + 3*o)*(-o + 3*o - 3*o). 11*o**2 Expand (2*p - 2 + 2)*(-p + 7*p - 1 - 7*p). -2*p**2 - 2*p Expand (x - x - x)*(-1 + 7 + 0)*(4*x + 0*x - 2*x). -12*x**2 Expand 0*d**3 - 3*d**3 + 0*d**3 + (1 - 3 + 1)*(-5*d**3 + 3*d**3 + d**3) + d**3 + 2*d - 2*d. -d**3 Expand (2*y**3 + 0*y**3 - 4*y**3)*(3 - y - 3) - 33*y**4 - 110*y**4 - 46*y**4. -187*y**4 Expand -2*z**5 - 4*z**5 + 5*z**5 + (-1 + 2 - 3)*(0*z**5 - 3*z**5 + 2*z**5) - 5*z**5 - 2*z**5 + 4*z**5. -2*z**5 Expand (-2*h - 10*h - 12*h)*(-2*h - 2*h + 2*h). 48*h**2 Expand -4*v**5 - v**5 + 3*v**5 + (-3*v + v + 4*v)*(0*v**4 - v**4 - v**4) - 3*v**2 - 4*v**5 + 3*v**2 + (-1 + 3 - 4)*(4*v**5 - 4*v**3 + 4*v**3). -18*v**5 Expand -2*w**3 - w**3 + 6*w**3 + (-2*w + 2 - 2)*(-w**2 - w**2 + 0*w**2) - w**3 - 3*w**3 + 2*w**3 + (-w - w + 3*w)*(-2*w**2 + 3 - 3). 3*w**3 Expand (7*z - 3*z - 6*z)*(-3*z**3 + 2 - 26*z + 26*z). 6*z**4 - 4*z Expand (-h**4 - 3*h**4 + 5*h**4)*(-2 + 2 - 2*h)*(9 - 8 - 6). 10*h**5 Expand (16 + 3 - 7)*(2*r**3 - r**3 + 0*r**3). 12*r**3 Expand (3 + 2 - 6)*(276*j**2 + 45*j**3 - 276*j**2). -45*j**3 Expand (2*r**3 - r**3 - 2*r**3)*(-15 + r - 2*r + 3*r). -2*r**4 + 15*r**3 Expand (2*d - 3*d + 2*d)*(2 - 2 - 1)*(-2*d + 4*d - d). -d**2 Expand (-g + 3*g + 0*g + (-g - 8*g + 4*g)*(4 - 2 - 5))*(5 - 5 - g). -17*g**2 Expand (-2 + 6 - 3)*(6*k - 3*k + 0*k) + 4*k + 7*k - 7*k. 7*k Expand (-3 + 2*f + 3)*(3*f - 3*f - 2*f**2) + 5*f**3 - 3*f**3 + 0*f**3 + 83*f - f**3 - 83*f. -3*f**3 Expand (-7*s + 0*s - 3*s)*(-5 + 3 - 2*s**4 + 1). 20*s**5 + 10*s Expand (k**2 + 0*k + 0*k)*(1 - 2*k - 1)*((3 + 0 - 5)*(-3 + 6 - 1) - 4 - 2 + 5 + 0 + 1 + 1). 6*k**3 Expand (-6*d - d - 3*d)*(-4 - 1 + 4) - 2*d + d + 0*d + (2*d + 0*d - d)*(-3 + 2 - 1). 7*d Expand ((-1 + 1 - 1)*(-5 - 2 + 5) + 1 + 1 + 0 - 9 + 28 - 15 + (-2 - 2 + 3)*(0 - 2 + 1))*(-2*g - 3*g + 3*g). -18*g Expand (2*o - o + 0*o)*(o - o - 2*o)*(-64 + 26*o**3 - 2*o + 64). -52*o**5 + 4*o**3 Expand ((-2*m**2 + m - m)*(-m - 1 + 1) - 4*m**2 + m**2 + 2*m**3 + m**2)*(-65*m**2 + 12*m**2 - 12*m**2). -260*m**5 + 130*m**4 Expand (-21*k - 10*k**3 + 21*k)*(0*k**2 + 2*k**2 - 3*k**2) - k**5 + 2*k**5 - 4*k**5. 7*k**5 Expand 1 - 1 - 6*b**3 + (0*b + 0*b - b)*(-b**2 - 2*b**2 + 4*b**2) - b - b**3 + b. -8*b**3 Expand 0*n**4 + 5*n**4 - 4*n**4 + (n**4 - n**4 + n**4)*(-4 + 0 + 6) - 4*n**4 + 0*n**4 + 5*n**4 + n - 2*n**4 - n + 42*n**4 - 17*n**4 - 16*n**4. 11*n**4 Expand (2 - 2 + k)*(3 + 0 + 1)*(2 - 2 - 2*k). -8*k**2 Expand 0*q - 20*q + 85*q + (-1 - 4 + 6)*(-3*q + 4*q - 3*q). 63*q Expand (-1 + 1 - 4*x)*(3 + 2 - 2) - 3 + 3 - x. -13*x Expand (56*y**4 + 10*y**5 - 56*y**4)*(0 + 0 + 2) + 22*y + y**5 - y**4 - 22*y. 21*y**5 - y**4 Expand (4*s - s - s)*(2*s**3 - 4*s + 4*s) - 25*s**3 - 7*s**4 + 25*s**3. -3*s**4 Expand (3*k + k - 6*k)*(-4*k + 2*k + 3*k) + (4*k - 4*k + 10*k)*(0 + 0 - k) - k**2 + 1 - 1. -13*k**2 Expand -v**4 - 4 + 0*v - 2*v + 3 + 3*v**4 - v**4 + 0*v**4 + (-v**2 + v**2 - v**3)*(-1 + v + 1) - v**4 + 2*v**4 + v**4. 2*v**4 - 2*v - 1 Expand (-3*y**2 + 7*y**2 - 3*y**2)*(y**3 - 1 + 1) + 3*y**4 - 3*y**4 + 9*y**5. 10*y**5 Expand (3*n**2 - 3*n**2 + n**2)*(6*n - 5*n - 23*n). -22*n**3 Expand (-a - 2*a + 2*a)*(a - 5 + 5) - 14*a + 14*a - 17*a**2. -18*a**2 Expand (2*g**3 - 3*g**3 + 2*g**3)*(-4*g**2 + g**2 + 0*g**2) - 5*g**3 + 2*g**5 - 2*g**3 + 3*g**3 - 3*g. -g**5 - 4*g**3 - 3*g Expand (-b + b + b)*(-b + 4*b + 2*b) + b**2 + 4*b**2 - 6*b**2. 4*b**2 Expand (-2*x**2 - 5*x - 1 + 2 + 4*x)*(2*x**2 - x**2 + 2*x**2). -6*x**4 - 3*x**3 + 3*x**2 Expand (-k + 2*k + 3*k)*((-k - 1 + 1)*(3 - 2 - 3) - 2*k - 2*k + 5*k + 0 + 0 + k - k + 4*k - 2*k + (-2*k + 0*k + k)*(3 - 7 + 2)). 28*k**2 Expand (3*t - 5*t + 0*t)*(3*t**2 - 5*t + t**2 - 5*t**2). 2*t**3 + 10*t**2 Expand 36 - 7*t**2 - 36 + 0*t**2 - 3*t**2 + 0*t**2 + (t + 0*t - 3*t)*(-t + 5 - 5) + t**2 - t**2 - t**2. -9*t**2 Expand (2*h**2 + 0*h**2 - 3*h**2)*(h**2 - h**2 + 3*h**2) - h**4 + 3*h**4 - h**4 + (2*h**3 + 4*h**2 - 4*h**2)*(4*h - h - 2*h) + 3*h**4 + h**4 - 6*h**4. -2*h**4 Expand (-49 + 97 - 45)*(3*w**3 - 6*w**3 + w**3). -6*w**3 Expand (-i**5 + i**5 - 2*i**5)*((2 - 6 + 5)*(0 + 3 + 0) - 2 + 1 + 6). -16*i**5 Expand -6*f**5 + 4*f**5 + 3*f**5 + (f**4 + 0*f**4 + 0*f**4)*(-2*f - 2 + 2) + 2*f**5 - 4*f**5 + f**5 - f**5 + 38*f**4 + 0*f**5 - 4*f - 39*f**4. -3*f**5 - f**4 - 4*f Expand -5*q + 9 - 9 + (0 + 0 - 4*q)*(2 + 2 - 5). -q Expand (-2*f**4 + 2*f**4 - f**4)*(0*f - 3*f + f) + 7*f**2 + 2*f**5 + 4*f**2 - f**5. 3*f**5 + 11*f**2 Expand (0*c + 0*c - 2*c**3)*(5*c - 9*c - 17*c)*(3 + 0 - 2) - 3*c**4 - c**4 + 2*c**4. 40*c**4 Expand (2949 - 2949 - 159*n)*(-4*n + 0*n + 2*n). 318*n**2 Expand (-2*o - 3 + 3)*(3*o - o - 3*o + (2*o + 4*o - 5*o)*(1 - 2 - 4)). 12*o**2 Expand ((0*a + a + 3*a)*(-2 + 2 - a) - a**2 + 3*a - 3*a)*(0*a + 3*a - 2*a). -5*a**3 Expand (-g**2 + g**3 + g**2)*(-4*g + 6*g + 0*g) + (5*g - 5*g + 4*g**2)*(-g**2 + 0*g + 0*g). -2*g**4 Expand (-2 + 2 + 3*b**2 - b)*(-11*b - 7*b + 16*b). -6*b**3 + 2*b**2 Expand -4*y**4 - 13*y**2 + 13*y**2 + (-2 + 2 - 2)*(2*y**4 - 3*y**4 - 2*y**4). 2*y**4 Expand (2*k**3 - 4*k**3 + 3*k**3)*(k**2 + 0*k**2 - 2*k**2) + (-3*k**4 + 5*k**5 - 2*k**4 +
{ "pile_set_name": "DM Mathematics" }
. Calculate the highest common factor of z and 24. 6 Suppose -6 = 5*q - 16. Calculate the greatest common divisor of 46 and q. 2 Suppose 2 = -3*q + 32. What is the highest common factor of 80 and q? 10 Let v = -112 - -132. Calculate the greatest common divisor of 5 and v. 5 Suppose -18 = -f - 2. Let q be (0 - -2 - -1) + 0. Suppose 0*s + q*s = 24. What is the highest common factor of s and f? 8 Let h = 193 - 130. Suppose 9 = 2*w + 4*t - 17, -t + 5 = 0. Suppose w*f - 2*r = 29, -5*r = 3*f - 0*r - 1. What is the greatest common factor of f and h? 7 Let u(v) = -172*v - 1. Let n be u(-1). What is the greatest common divisor of 9 and n? 9 Suppose -3*k = -29 + 8. Let a(t) = t - 7. Let h be a(8). Calculate the greatest common divisor of h and k. 1 Suppose 2*i - 110 = -4*m, 3*m + 2*i - i - 81 = 0. Let w = m + -44. Let r = -10 - w. What is the highest common divisor of 2 and r? 2 Let n(a) = -6*a - 2. Let v be n(-2). Suppose -1 = -4*u + 3*r, -2*u - 3*r - 2*r = -7. Suppose k = 1 + u. What is the highest common divisor of k and v? 2 Suppose q + 3*z = z + 33, 0 = -3*q + 4*z + 89. Let x = 47 - q. Calculate the greatest common factor of 112 and x. 16 Let c(r) = r + 3. Let x = -2 + 5. Let q be c(x). What is the highest common factor of 6 and q? 6 Let p(g) = g**2 + 2*g + 3. Let o be p(-5). Let m = o - -2. Calculate the greatest common divisor of 4 and m. 4 Let z = -116 - -118. What is the greatest common factor of 1 and z? 1 Let j(k) = -k**3 + 3*k**2 - 3. Let c be j(-2). Calculate the highest common factor of 51 and c. 17 Let q be 3 + 4 - 0 - -1. Let s be 0 + 16*4/q. What is the highest common factor of s and 8? 8 Let c(q) = q**2 - 5*q - 9. Let p be c(-7). Let n(m) = -10*m - 2. Let y be n(-5). Let w = -33 + y. What is the highest common factor of p and w? 15 Let p = -453 - -957. Suppose -n + 7*n = p. What is the greatest common factor of 12 and n? 12 Let y(f) = -f**3 + f + 33. Suppose 5 - 17 = -3*o. Suppose 6*x = o*x. Let m be y(x). What is the greatest common factor of 22 and m? 11 Suppose g = 3*c + 8, 2 - 4 = c. Suppose 3*j - 3*n - 75 = 0, g*j - 26 = -3*n + 9. What is the greatest common divisor of 242 and j? 22 Let n(u) be the first derivative of -u**3/3 + 7*u**2 + 7*u - 1. Let o be n(11). What is the greatest common divisor of o and 8? 8 Suppose 0 = -0*f + 2*f. Let c(w) = w**3 - 9*w**2 + 4*w + 5. Let m be c(9). Suppose f = o - m + 6. What is the greatest common factor of 5 and o? 5 Let c(p) = -p**2 + 10*p + 10. Let m be c(10). Calculate the greatest common factor of m and 10. 10 Let o = 49 - 44. What is the greatest common divisor of 45 and o? 5 Let x(d) = d - 4. Let r be x(-3). Let q = 4 - r. Let v be (-4)/((-1)/q + 0). What is the greatest common factor of 66 and v? 22 Let d be 6/(-15)*1*-15. Suppose -2*u = u - d. What is the greatest common divisor of 16 and u? 2 Suppose -5*l + 0 - 5 = 0. Let x(q) = -34*q. Let a be x(l). Let b be (a - 3) + -1*1. What is the highest common factor of 15 and b? 15 Suppose 5*k = 3*k + 8. Suppose 64 - 16 = k*g. Calculate the greatest common factor of 60 and g. 12 Let m = -32 - -44. Calculate the greatest common divisor of m and 60. 12 Let t = -20 + 38. Let o = 180 + 18. Calculate the greatest common divisor of t and o. 18 Let x = 108 + -56. Suppose 5*n - 13 = 157. Suppose 4*u + 4*b - n = 18, -13 = -u - 5*b. What is the greatest common factor of u and x? 13 Suppose 10*u + 23 = 323. Calculate the highest common divisor of u and 10. 10 Let a(v) = v**3 + 4*v**2 - 5*v + 3. Let l be a(-5). Let h be 1/l - (-2)/3. Calculate the greatest common divisor of h and 5. 1 Suppose -5*h - 5 = -25. Calculate the greatest common factor of h and 4. 4 Let r be 15 + (2 - 4)/(-2). Suppose 2*q - 4*q + 48 = 0. What is the greatest common factor of q and r? 8 Suppose 0 = -5*a + 7*a. Suppose a = 2*t - 23 + 5. What is the greatest common divisor of t and 81? 9 Let n(c) = c**2 + 5*c. Let o be n(-6). Let b be (4/1)/(4/2). Let u be b/(-4) - 170/(-4). Calculate the greatest common divisor of o and u. 6 Let u be (-4 - -3)/((-1)/10). What is the greatest common divisor of u and 4? 2 Suppose -x + 72 = 2*y, 5*x = 2*y + 475 - 67. What is the highest common divisor of 40 and x? 40 Let k be ((-4)/(-6))/((-2)/(-9)). Suppose -4*d + 8 = -3*f, -4*d + 17 = 3*f - k*d. Let v be 41/f + (-3)/12. What is the highest common factor of v and 100? 10 Let j(w) = 2*w - 1. Let t be j(2). Suppose -38 = -2*c + t*h + h, -4*h - 77 = -5*c. What is the highest common factor of c and 52? 13 Let g(v) = v**2 - 3*v - 6. Let w be g(5). Calculate the greatest common factor of w and 4. 4 Let g(u) = -2*u**2 + 3*u**2 + u**2 + 1. Let h be g(-1). What is the greatest common divisor of h and 15? 3 Suppose 132 = 5*r - 58. Suppose -16 = 4*s + 2*c, c = -3*s - c - 14. Let q = r + s. Calculate the highest common factor of 24 and q. 12 Suppose -2*i - 843 = i. Let t = i + 398. Calculate the greatest common factor of t and 13. 13 Suppose 5*b + 2*c = 20, -b - 7 = 3*b - 3*c. Let f be 13 + -12 + (b - 0). Calculate the greatest common divisor of 15 and f. 3 Let s = 127 + -79. Calculate the highest common factor of 32 and s. 16 Suppose -w + 6 = -39. Calculate the highest common divisor of 30 and w. 15 Let x be 295 - -1*(4 + -2). Suppose 2*i + i - x = 0. Calculate the greatest common divisor of i and 11. 11 Let j be 36/8*4/6. Suppose c - 5 = j. What is the greatest common divisor of 40 and c? 8 Let i = -32 + 47. Let r = 17 + -11. Calculate the greatest common factor of r and i. 3 Suppose 0*y - 12 = -4*y. Suppose -y*a - 8 = -7*a. What is the greatest common factor of 3 and a? 1 Let m be 10*1*2/5. Suppose -f - 315 = -m*f. Suppose -2*j - 3*g + 35 = -4*g, 0 = -5*g - 25. Calculate the highest common divisor of j and f. 15 Let d(h) be the third derivative of h**5/30 - 7*h**4/24 - 7*h**3/6 - h**2. Let c be d(6). Suppose 3*z - c = -5. What is the greatest common factor of z and 54? 6 Let z be -2 + 140/(-30)*9/(-2). Calculate the highest common factor of 152 and z. 19 Suppose 0*h - 132 = -3*h. What is the highest common divisor of 11 and h? 11 Let i(c) = -c + 2. Let f be i(-4). Suppose -35 = -t + 2*w + 27, 5*w + 188 = 3*t. Suppose 4*o - t = f. Calculate the highest common divisor of o and 6. 6 Let o be (-2)/(4 - 3) - -26. What is the greatest common factor of o and 48? 24 Let z(l) = 5 + 113*l**2 - 2 - 2*l - 2. Let m be z(1). What is the greatest common factor of m and 14? 14 Let u be ((-39)/(-9) - 2)*6. Let z(l) = 5*l**2 - 7*l - 6. Suppose 4*x - 2*x + 10 = 0. Let c be z(x). Calculate the highest common factor of u and c. 14 Let j = 9 - 5. Let w = 1 + j. Suppose 4*m - 198 = 3*q, -w*q - 194 = -5*m + m. What is the greatest common factor of 34 and m? 17 Let r = -65 + 71. What is the greatest common factor of r and 18? 6 Let c be (-6)/(-3) + (-10)/2. Let r = c + 63. Let x be 52 + -3 - (23 + -14). What is the greatest common factor of x and r? 20 Let t = -277 + 409. Calculate the highest common divisor of 44 and t. 44 Suppose -5*k + 2*f = 5*f - 428, 20 = -5*f. Suppose -4*m - 80 = -14*m. Calculate the highest common factor of m and k. 8 Suppose -h = -2*w + 8, 3*w - 2*w - 13 = -4*h. Calculate the highest common factor of 4 and h. 2 Let w be ((-1)/(-2))/(4/408). Let s(u) = -4*u + 6. Suppose 4*m + 9 = -19. Let z be s(m). Calculate the greatest common divisor of z and w. 17 Let b = -8 - -18. Let d = -4 + 6. Calculate the greatest common factor of d and b. 2 Let d = 6 - 4. Let n be (-22)/4*(-36)/d. Let w(p) = p**2 + 5*p + 5. Let h be w(-6). Calculate the highest common divisor of n and h. 11 Suppose -4*d - 14 = -4*u + 202, -3*u + 134 = 4*d. Calculate the greatest common divisor of u and 10. 10 Let w(u) = 21*u - 4. Let r be w(4). Let q = 30 + -8. Let s = -6 + q. What is the greatest common divisor of s and r? 16 Suppose 9*j = -j + 410. Calculate the greatest common factor of j and 82. 41 Let l = -11 + 18. Suppose -10 - l = -s. What is the highest common divisor of s and 34? 17 Let s be -2 + -2 + (2 - -3). Let a be 24/(-16)*(s - 13). What is the greatest common factor of 54 and a? 18 Let l(g) = 4*g**2 + 14*g - 2. Let h be l(-4). Calculate the greatest common divisor of 48 and h. 6 Let b = 31 - 8. What is the greatest common factor of 207 and b? 23 Let c(f) = -f**3 + f**2 + 4. Let a be c(0). Suppose 0 = a*r - 24 - 12. What is the
{ "pile_set_name": "DM Mathematics" }
. Does k = 62? False Let m = -729.7768 - 1.2232. Which is smaller: 1 or m? m Suppose -20*x = 3*z - 15*x + 112, 4*z + 131 = -3*x. Suppose 12 = -n + 6*n - 2*g, -n + 5*g + 7 = 0. Which is smaller: n or z? z Let u = 1474847621/325625776 + 27/415339. Let l = u - 7270955/1220688. Let n = 3/173 - l. Which is smaller: n or 2? n Suppose -h + 2*v = 3*v + 3, 5*h + 3*v = -13. Suppose -5*z + 19 + 20 = -4*u, 4*z - 12 = 0. Let t be (-2)/u + 2/(h - -4). Is t not equal to -0.2? True Let r be (-33)/((35/(-77))/(-5)). Which is smaller: r or -355? r Let t = -12 - -12. Let i = 395 - 378.5. Let l = 16.529 - i. Is t greater than l? False Let s(a) = -3*a + 28. Let m be s(8). Let n(x) = x**3 - 5*x**2 + x + 6. Let q be n(m). Let g be 9/q*(-52)/(-6). Which is smaller: -11 or g? g Let m = 1291 - 1523. Let b be 4/(-58) + 3928/m. Let a be ((-4)/6)/(2/47). Which is bigger: a or b? a Let a be (-30)/6 - -4 - (-10629)/(-63). Which is smaller: a or -169? a Let v = -0.91 + 7.18. Let m = v + -9.27. Do 27 and m have different values? True Let s = -9777/2 + 4923. Which is smaller: s or 36? s Suppose -2*x - 92 - 5 = 3*n, -102 = 2*x + 2*n. Let b be (14/x)/((-2)/438). Do 56 and b have the same value? False Let v be (-2)/(-12)*11/(231/12). Let u(t) = t**2 - 17*t + 29. Let x be u(15). Is v at most as big as x? False Let l(i) = 3*i + 8. Let t be 3 - (-7)/(21/6). Suppose 17 = t*v + 7. Let d be l(v). Which is smaller: d or 13? 13 Let f(y) = 2059*y + 4643. Let p be f(-2). Suppose 4*u + 2912 = 5*h + 270, 2107 = 4*h - u. Which is bigger: p or h? h Let q = 0 + -3. Let j(s) = 2*s + 10. Let l be j(q). Let c be (-3)/(-102)*(l/5 - 0). Do c and 0 have different values? True Let b = 712.2 - 315.2. Which is smaller: b or -0.2? -0.2 Let i = -3158 - -3045. Let h be (-1 + 58)/(2/(-4)). Is h greater than or equal to i? False Let o = -7.372 - -2.372. Is -2/243 equal to o? False Let i = 1908 + -1806. Is 108 equal to i? False Let s = -1950.64 - -2029. Let f = s + -0.36. Let i = 69 - f. Do -4 and i have the same value? False Suppose 6 = -3*x, -173*b + 169*b = -4*x + 272. Is -36 less than b? False Suppose 30 = 47*b - 17. Let d = -3084 - -385498/125. Is b at most as big as d? False Let c = 916/77 - 134/11. Is 12/995 bigger than c? True Let v = -9649 + 10289. Which is smaller: v or -0.4? -0.4 Let n(v) = -352*v. Let g be n(-1). Let k = g + -357. Is 22 equal to k? False Let u = 10.33 - -1.67. Does -0.53 = u? False Let w = 2 - 2. Let s = -4892 + 4888. Which is smaller: w or s? s Let w be (-53)/2 + (20/8 - 3). Let a(v) = v - 4*v + 35 - 28 - 3*v**2. Let y be a(3). Which is greater: y or w? w Let v be (527*-1)/(9 - 8). Let i = v - -507. Is -17 less than i? False Let p be (-4 - ((-35)/(-10))/(-7))*(6 + -8). Is -12 > p? False Let g = 1212 + -1353. Which is greater: g or -29? -29 Let c = -60 + 62. Let b = 325/6 - -63/2. Let p = b - 85. Which is smaller: c or p? p Let u(n) = 5*n - 490. Let x(d) = 2*d - 327. Let a(p) = -5*u(p) + 8*x(p). Let r be a(-18). Which is greater: -7/2 or r? -7/2 Let o = -1297 - -1296.8. Is o <= 3/14? True Let t be 48/408 + 3/(51/389). Let z = -201 + 2610/13. Is z less than or equal to t? True Let l = 18 - 18. Suppose l = -8*x - 0*x - 8. Is -28/13 less than x? True Suppose 34*n - 6*n + 87 + 25 = 0. Is -75.3 < n? True Let c be (3 - 1)*19/(-38). Let f be (c/(40/(-16)))/(19/(-25)). Which is smaller: -1 or f? -1 Let v = 5 - -2. Suppose 5*c - 4*k + 16 = 0, -15*c + 19*c = -k - 38. Let j = v + c. Is j at least as big as 2/5? False Suppose 3 = g - 4*u, -3*u + 3 = g + u. Let m be 0/11*(-1)/g. Which is smaller: 3/95 or m? m Let x = -11 + -85. Let g = 7014 + -7110. Is x bigger than g? False Let g(f) = -6*f + 23*f**2 - 12 - 22*f**2 + f. Let t be g(7). Let b = -3/2 + t. Which is bigger: 26 or b? 26 Let l = 15.8 - -231.2. Let g = l - 247.21. Let i = 2.8 - 3. Which is bigger: i or g? i Suppose 350 = 4*a - 2*r + 346, -2*r - 4 = -2*a. Are a and 6/619 equal? False Let j = -478 + 372. Suppose -1386 = -7*d + d. Let o = -337 + d. Is o at most as big as j? True Let m(z) = -7*z - 112. Let q be m(-15). Let p be (-12)/(-8)*q/((-105)/40). Which is smaller: -8 or p? -8 Let b = 1940.5 + -2732.5. Which is smaller: -1/2 or b? b Let n(o) = o**2 + 27*o + 43. Let i be n(-23). Let z = i - -53. Let a be (6/(-30))/(z/(-10)). Is -5 < a? True Let s be 2379/(-4) + (10 - 205/20). Let c be 28/((s/(-10))/7). Which is bigger: c or 4? 4 Let u(r) = -r - 5. Let l(m) = -m - 1. Let j(g) = -2*l(g) + u(g). Suppose -5187*w + 21 = -5194*w. Let o be j(w). Which is bigger: o or -7? o Let b(g) = -261*g**2 - 1. Let v be b(1). Let n be 0/(9 + 4 + -14) + -261. Is n <= v? False Let c be 15/5 - -5*(3 + -89 - -1). Is -419 at least as big as c? True Let p = -146 + -406. Suppose -5*j + j = 3*y + 8659, 8652 = -4*j + 4*y. Let k be (j/p - 4) + (-1)/(-6). Is k at most 0? False Let u = -29190 - -29190. Let f = 474 + -332. Which is smaller: f or u? u Suppose t = u - 17, -29 - 46 = -3*u - 3*t. Let f be 62/84 + 3 + (-75)/u. Which is greater: f or -32? f Let r = 7 - 3. Suppose -5*t + 24 = r. Suppose -t*u = 4*b - 3*u - 37, -3*u = b - 23. Which is smaller: b or 10? b Let f(u) be the third derivative of 203*u**5/60 + 2*u**3 - 26*u**2. Let r be f(3). Let g = r - 5447/3. Does g = 24? False Let a = -686.04626 - -0.04626. Which is smaller: 9 or a? a Let p be 50036/30*(592214/74032 - 8). Let h = -5/1322 + p. Is 0 less than h? False Suppose -z - 2*y = -7, 0 = -z - 4*y + 511 - 498. Which is bigger: 4/4165 or z? z Let b = -590/13 + 1757/39. Let o = -20.06 + 0.06. Let r = 20.11 + o. Is r < b? False Suppose -5*o = 2408 + 542. Let g be -9 + o/(-45) + -2*2. Which is smaller: -0.04 or g? -0.04 Let t(p) = 2*p**2 - 6. Let v be t(-2). Let f(x) = 8 - 9*x - 3*x - 2 - x**v. Let a be f(-6). Which is bigger: a or 44? 44 Suppose 949*z = 892*z - 57. Which is smaller: z or -1/2455? z Suppose -14*p + 26103 = 7*p. Is p at most as big as 1/3? False Let o = 1404.3 + -1404. Which is bigger: o or 59.4? 59.4 Suppose 22 = 5*i - 3*d + 2, -10 = 5*i + 3*d. Let p be -3 - i/4*4. Let l be (2 + -4)*(p - -14). Is l != -20? False Let m = -12 + 8. Let y = 290503/17 - 17093. Is m greater than y? True Let j = 0.086 + 1.914. Suppose -2*w - 3*w + 55 = -2*n, -3*w = n - 33. Is w at most j? False Let f = 7022 + -5726. Is f smaller than 1297? True Suppose 9*c - 58 = 11*c. Let d = 4 + -1. Suppose -8*y + d*y = 145. Are y and c nonequal? False Let j = -7563 - -9703. Which is smaller: j or 2139? 2139 Let x be (-72)/21 + (-4)/(-10 - -9). Is x equal to -4/35? False Let r(w) = 2*w**2 + 86*w + 537. Let o be r(-6). Which is smaller: 8/11 or o? 8/11 Suppose -5*o - v - 1491 = 0, o - 5*v + 108 + 211 = 0. Are -291 and o non-equal? True Let z be -6 + 4 + 2*(-69)/(-60). Let n be (0/4)/(-2 + -2). Is n at most as big as z? True Let b be -128 + (9 - (14 - 0)). Which is bigger: -130 or b? -130 Let r(v) = -2*v**3 + 109*v**2 - 29*v - 1008. Let i be r(54). Suppose 1364 = -3*l + 7*l. Is i >= l? True Let y be 6/14*77/(-11). Which is bigger: -2.9 or y? -2.9 Suppose 5*v - 71 = -51. Let r be (-2)/v - (71037/(-18))/9. Is r at most as big as 438? True Suppose 4*k + 2*d - 20 = -0*d, 18 = 5*k - d. Let r be k/(-1) + ((-9)/(-1))/3. Which is greater: -46/21 or r? r Suppose -860*g = 896*g - 1802*g - 3542. Let h be (-1)/(-1) - 1074/14. Which is smaller: h or g? g Let x(o) = -404*o**3 - o**2 + o - 1. Let j be x(1). Let k(n) = -2*n**3 + n**2 - 3*n - 3. Let a be k(0). Let i be j/(-550) - (-1)/5*a. Is 1 > i? True Let h be 4 + 14/(-4)*(1 + 1). Let p be (-3 - 2) + 9 + h. Is 0 less than p? True Suppose -686*i = -689*i + 5*z - 298, i + 2*z = -70. Let j be (-3)/12*(-8)/(-6). Is i bigger than j? False Suppose 2*r - 393 = 221. Let o = r - 357. Which is bigger: -53 or o? o Let v be (-7*((-29)/7 + 4))/(-1). Which is greater: 14/415 or v? 14/415 Let z = -24467.90486 - -24468. Is z at most 1? True Let w = 126 - 126.02. Let i = 0.078 + w. Is -1 equal to i? False Let x = 0.94 - -0.27. Let s = -67.21 + x. Let m be (8/(-20))/(3 + 16/(-10)). Which is greater: m or s? m Let v = 5/424 - 5441/452408. Which is bigger: v or 0? 0 Let o = -235 - -160. Let p = -74.8 - o. Let a(k) = -7*k**3. Let q be a(1). Which is smaller: q or p? q Let f = 8/51 + 3/17. Let h = 14274.64 - 14848. Let b = -573 - h. Is f at most b? True Let u = -6840 - -6839.911. Suppose 5*t = 5*n + 15, -5*t = 2*n
{ "pile_set_name": "DM Mathematics" }
- 235/(-6)? 9 What is the hundreds digit of (19166/(-8) - 47)/(-1 + 29/32)? 0 Let y(l) = -l**3 + 19*l**2 - 4*l - 48. Let u be y(19). Let p = u - -429. What is the units digit of p? 5 Let b(y) = -y**2 - y + 108. Let f(d) = -d**2 + 4*d + 5. Suppose 0 = 3*i - 3*j - 12, j = -3*i + 16. Let a be f(i). What is the tens digit of b(a)? 0 Let v be (-90)/((-6)/(-2))*1. Let l be (-40 - -36)*11/(-4). Let d = l - v. What is the units digit of d? 1 Let q(o) = 410*o - 13. Let h be q(-5). What is the tens digit of (-165)/35 - -5 - h/7? 9 Suppose 3*s = 7*s - 1152. Suppose 2*t - 11*t - s = 0. What is the units digit of (57/6)/((-2)/t)? 2 Let u(k) = 165*k**2 + 292*k - 39. What is the tens digit of u(-11)? 1 Let h(r) = -r**2 - 7*r + 20. Suppose 0*x + 5 = -x - n, 5*x = -4*n - 29. Let f be h(x). What is the units digit of (22 - f) + -12 + 11? 9 Suppose 136*g = 123*g + 315614. What is the tens digit of g? 7 Let p(a) = -31*a**3 + 29*a**2 + 40*a - 243. What is the thousands digit of p(-12)? 7 Suppose -3*z - z + 2*n = -550, 5*n = -15. Let k = -85 + z. Let f = 84 - k. What is the tens digit of f? 3 Let w(x) = 2*x**2 - 15*x - 7. Let a be w(9). Let n be (-4)/(-10) + 592/a. What is the tens digit of (4/14 - 2/7) + n? 3 Let m(j) = 100*j**2 - 511*j - 11. What is the tens digit of m(9)? 9 Let l = 207 - 230. Let x = l - -224. What is the units digit of x? 1 Suppose -20*r = -165 + 45. Let z(n) = -n**2 + 13*n - 19. What is the units digit of z(r)? 3 Let n = 26 + -30. Let h(p) = -p**3 - 4*p**2 + 2*p + 4. Let t be h(n). What is the units digit of 4/40*t*-225? 0 Let c = 111453 + -76321. What is the hundreds digit of c? 1 Suppose -361 = 5*k - 76. Let i = k - -60. What is the tens digit of 0 + (0 - -2) + 15*i? 4 Suppose -50*u = -43*u - 35. Suppose -u*j + 3277 = 4*q, -q + 821 = 3*j - 0*j. What is the units digit of q? 8 Suppose i - 3*o - 21 = -2*i, -2*i + 12 = -3*o. Suppose -t - i = 2*t. Let h = 12 - t. What is the units digit of h? 5 Let m be 9*(3/1 - (-40)/(-30)). Suppose -m*s + 26*s = 4554. What is the units digit of s? 4 Suppose 0 = -x + 5*m - 16, -5*x + 2*m + 2 - 13 = 0. What is the hundreds digit of 1904*(-3 + x/(6/(-21)))? 9 Suppose 5*w = -20 - 55. What is the tens digit of 838 + 5/(w/18)? 3 Suppose 0 = 5*x + u - 49676 - 5026, -10967 = -x - 4*u. What is the hundreds digit of x? 9 Let u(p) = p**3 - 7*p**2 + 6*p - 17. Let n be u(7). Suppose -n*m + 45 = -24*m. Suppose m = -75*g + 80*g. What is the units digit of g? 9 Let y(d) = 123*d + 16. Let j(a) = -a + 1. Let n(b) = -21*j(b) - 3*y(b). What is the hundreds digit of n(-4)? 3 Let g(i) = i**3 - 25*i**2 - i + 29. Let h be g(25). Suppose 0 = h*v - 8. Suppose 4*u + 364 = 3*y, v*u + 3*u - 96 = -y. What is the tens digit of y? 1 Let w(q) = -2*q**3 + 24*q**2 + 6*q - 1. Let o(t) = 3*t**3 - 23*t**2 - 5*t + 1. Let v(r) = 5*o(r) + 4*w(r). What is the tens digit of v(5)? 9 Let j(i) = 29*i**2 - 6*i - 2. Let t(z) = -30*z**2 + 7*z + 1. Let o(l) = 3*j(l) + 2*t(l). Let w be o(-1). Let f = w + 52. What is the units digit of f? 9 Suppose 5*r - 114525 = -5*t, 0 = -38*t + 43*t - 4*r - 114471. What is the hundreds digit of t? 8 Let u be (-688)/(-80) + 4/10. Suppose 6*l + u*l - 255 = 0. Let a = 21 + l. What is the units digit of a? 8 Let k = -25217 - -47011. What is the ten thousands digit of k? 2 Suppose 3*k + 2*u = 1, 0*k + k + 17 = -5*u. What is the hundreds digit of (1/(-3))/(k*2/(-10926))? 6 Let o = -9513 - -11133. What is the tens digit of o? 2 What is the tens digit of (-7160)/35*(-133)/38? 1 Let d be (-43)/215 - 8/10. What is the units digit of -9582*(-12)/72 + -1 + d? 5 What is the units digit of ((-95)/(-3))/((-1215)/(-1984338))? 8 Suppose 8 = -4*l - 5*g, -4*g + 0*g = 2*l + 10. Suppose 4*i - 3064 = 10*o - 14*o, -3*i + l*o = -2322. What is the units digit of i? 0 Let w(q) = q + 11. Let z be w(-7). Suppose 8*v - 10*v + z = 0. Suppose -107 = -v*t + 5*p + 39, -5*p = 2*t - 186. What is the tens digit of t? 8 Let q(w) = 3*w**3 + 5*w**2 - 7*w + 19. Let g(b) = b**3 - 2*b. Let k(x) = 4*g(x) - q(x). Suppose 0 = -2*m + 3*m - 6. What is the tens digit of k(m)? 1 Let r = 57 - 54. Suppose 3*v + 6 = -2*c, -r*v = -3*c + 7*c + 12. Suppose v = -2*f + 7*h - 2*h + 354, -3*h + 155 = f. What is the tens digit of f? 6 Let z(k) = -5*k**2 - 11*k + 132. Let c be z(-29). What is the thousands digit of (44/(-8))/11*c*1? 1 Let t(r) = 2*r**2 - 76*r - 248. What is the thousands digit of t(106)? 4 Let t = 382 + -170. Suppose 1152 = 80*j - 88*j. Let q = t + j. What is the units digit of q? 8 Let z(k) = -5*k**3 - 10*k**2 - 15*k + 23. Let g(h) = -h**3 - 2*h + 1. Let c(u) = 6*g(u) - z(u). Suppose 0*a - 40 = -4*a. What is the tens digit of c(a)? 1 Let m = -40 - -297. Let b = m - 52. What is the units digit of b? 5 Let k = -68 + 70. Suppose k*g - 2*x = x + 585, 0 = -5*g + 5*x + 1460. What is the tens digit of g? 9 Suppose x + g = 4, 7*x - 13 = 2*x + 2*g. Suppose 17 = 3*q + 5. Suppose 3*m + x*y - 132 = m, 4*y = -q*m + 272. What is the tens digit of m? 7 Suppose 0 = 47*c - 52*c - 70. What is the units digit of (-3722)/c + 13/91? 6 Let y(q) = 20*q - 7. Let r be y(37). Let o = r + -437. What is the hundreds digit of o? 2 Let c(f) = -f**3 - 5*f**2 + 2*f - 2. Suppose 4*n - 19 + 59 = 0. Let t be c(n). Let r = -341 + t. What is the tens digit of r? 3 Suppose 3*s - 150 = -j, 4*j + 168 = 3*s - j. Suppose 0 = -144*c + 156*c - 84. Suppose 0 = 3*p - c*p + 8, 0 = -m - 2*p + s. What is the tens digit of m? 4 Suppose -6859*k + 6849*k + 234640 = 0. What is the tens digit of k? 6 Suppose 5*g - 19*g = 4396. Let h = g - -721. What is the hundreds digit of h? 4 Let q(n) be the third derivative of -n**6/120 + n**5/5 - n**4/6 - 7*n**3/3 + 11*n**2. Let i be 5 - 2 - (-11 - -3). What is the tens digit of q(i)? 6 Suppose 200168 = -21*v - 1078564. What is the tens digit of (v/78)/((-2)/3)? 7 Suppose 0 = 12*d - 18*d - 372. Let o = d - -131. What is the tens digit of o? 6 Suppose -26 = -n - 0*n + 3*z, 5*z - 20 = 0. Let x be -35 + n + (1 - 4)*-2. Suppose 12*s = x*s + 141. What is the units digit of s? 7 Let g be ((-2975)/5)/(-7) - -1. Let s = 122 - g. What is the units digit of s? 6 Let k(u) = 2*u**3 + 100*u**2 + u - 206. What is the units digit of k(-48)? 2 Let u(x) = -x**3 + 15*x**2 + 22*x - 7. Let f be 12/(-18) - (-6)/9. Suppose 8*o - 145 + 17 = f. What is the tens digit of u(o)? 8 Let z be (-46 - -47)/(1/469). Suppose -2173 = -6*i - z. What is the tens digit of i? 8 Suppose 0 = 26*v - 20*v + 3414. Let z = 100 - v. What is the hundreds digit of z? 6 Let u be 6/3*4/2. Let c be ((-3 - -7) + -3)*(80 - u). What is the tens digit of c/1 + (-1 - (1 - 0))? 7 Let s(k) = 2*k**2 - 30*k + 72. What is the hundreds digit of s(-22)? 7 Let d = -264 + 269. Suppose -d*t - 4*q = -2941, 9*q = 2*t + 6*q - 1158. What is the tens digit of t? 8 Let y = 628 + 719. Suppose j = 3*n + 484, -2*j - 379 = n - y. What is the units digit of j? 4 Let j(v) = -7*v**2 + 6*v + 5. Let l be j(5). Suppose 14793 = 14*r - 12549. What is the tens digit of r/33 + l/44 + 3? 5 Suppose 6 = -x + 11. Suppose -x = 2*t + 9. Let f(y) = 2*y**2 + 8*y - 14. What is the tens digit of f(t)? 2 Suppose 3*q - h + 308 = -2*q, q = -h - 58. Let b = -27 + q. Let d = b + 142. What is the tens digit of d? 5 Suppose 5*a - w - 16676 = 0, 23*a - 10008 = 20*a + 3*w. What is the units digit of a? 5 Suppose 2*m + 2*m = 8. Suppose -m*n = -3*l - 658, 10 = -0*l + 5*l. Let t = -202 + n. What is the hundreds digit of t? 1 Suppose -48*a = -172*a + 748340. What is the thousands digit of a? 6 Let i(c) = 3*c + 51. Let l be i(-21). What is the tens digit of (-2*131/(-4))/(l/(-72))? 9 Let y be 37746/114 - 10/95. Let r = y + 1196. What is the hundreds digit of r? 5 Suppose -m - 43 - 5 = 0. Let b = m + 48. What is the tens digit of (b + -4 + -3)*-13? 9 Suppose -5*l + 4*t = -31867, l - 3*t = -0*l + 6369. What is the tens digit of l? 7 Suppose -4*a = 4*j - 84, 0 = -3*j + 6 - 0. Suppose -y + 15 = d, -9 - a = -2*y - 4*d. Suppose l = 3*l - y. What is the units digit of l? 8 Let p = -678 + 1243. Suppose 2*f + 5*m - 142 = 87, 5*f + 5*m = p. What is the units digit of f? 2 Suppose -4*z = -0*l + 3*l - 358, -z - l + 89 = 0. Let a(b) = -66*b + 1. Let y be a(1). Let u = y + z. What is the units digit of u? 6 Let g(p) = 16438*p**2 - 57*p + 58. What is the units digit of g(1)? 9 Let f(i) = -3*i**2 - 8
{ "pile_set_name": "DM Mathematics" }
What is s rounded to seven dps? 0.0000003 Let p = -11 - -9.57. Let s = 0.338 - -0.362. Let i = p + s. Round i to one decimal place. -0.7 Suppose -11*t + 7*t = -w - 129846787, 5*w + 97385069 = 3*t. Let m = -86661698 + t. What is m rounded to the nearest one million? -54000000 Let d(k) = 12*k - 1. Let l(o) = o**3 + 2*o**2 - 2*o - 3. Suppose 0 = -3*h - 7 - 2. Let v be l(h). Let s be d(v). Round s to the nearest 10. -70 Suppose -4*u = -3*t + 391, 0 = -6*u + 2*u - 3*t - 409. Let f be u/((-3)/9660*1). Round f to the nearest one hundred thousand. 300000 Let l = -0.081 + -42.919. Let o = 73 + l. Let u = -30.092 + o. Round u to 2 decimal places. -0.09 Let j = 31.1 + 100.9. Let z = j - 132.000054. Round z to 6 dps. -0.000054 Let a(s) = 226822*s + 246. Let j be a(7). Round j to the nearest 100000. 1600000 Let b = -90031 - -200031. What is b rounded to the nearest 100000? 100000 Let w = 1169.06 + -1174. Round w to zero decimal places. -5 Let y = -22740 + -46460. What is y rounded to the nearest 1000? -69000 Let j = 0.5886 - 0.588597593. What is j rounded to 7 dps? 0.0000024 Let z be (-8)/(-2)*(-6)/4. Let j = z + 7. Let a be 710 + (j + -1)/(-1). Round a to the nearest one hundred. 700 Let w = -143.7 + -247.4. Let u = w + 370. Let h = u + 21.0999873. Round h to 6 dps. -0.000013 Let j be -45*3*(-16890 + 4/4). Suppose 5*p = -3*z - j, z - 3*p - 1520009 = 3*z. What is z rounded to the nearest one hundred thousand? -800000 Let j(v) = -v**3 - 7*v**2 + 9*v + 4. Let p be j(-6). Suppose a = 2*r - 3*a - 350, 4*a - 545 = -3*r. Let q = p + r. What is q rounded to the nearest 10? 90 Let o = -1087.312 + 1105.3. Let h = o + -18. Let i = h - -0.011855. Round i to five dps. -0.00015 Let s = 0.0368 - -42.3632. What is s rounded to the nearest ten? 40 Let n = -62.3 - -62.3001264. What is n rounded to 5 dps? 0.00013 Let f = 4575.999988691 + -4576. What is f rounded to six dps? -0.000011 Let l be 4/10 + (-13948)/20. Let m = l - -7481. Suppose -5*h - 108216 = m. Round h to the nearest ten thousand. -20000 Let t be 52*(-4 - (-1421475)/10). Suppose 0 = 2*f + 5*p - 21200000, 2*f - 13808538 = -2*p + t. Round f to the nearest 1000000. 11000000 Let t = -11 + 16. Suppose -10*o = -t*o - 5950. What is o rounded to the nearest 100? 1200 Let f = -6372584.3 + 6372516.300014. Let m = f + 68. Round m to 5 decimal places. 0.00001 Suppose 45*p - 1877200 = 49*p. Round p to the nearest 10000. -470000 Let p = -1067 + 1069. Let o be ((-1775)/(-3))/(1/3). Suppose 0 = -5*k - 3*l + 4465, -p*k + 2*l = l - o. What is k rounded to the nearest 100? 900 Let p be (-1)/(-3) - (-1416784977)/27. Suppose -5*c = -p - 54026487. Let w be (-1)/3 - c/(-3). What is w rounded to the nearest one million? 7000000 Let b be 12/16 + 372/16. Let t be (-1428)/(-3) + b/6. What is t rounded to the nearest 100? 500 Let n = -673 + -475. Let p(k) = -k**3 - 16*k**2 - 12*k + 41. Let c be p(-15). Let w be n/(-12) - c/(-6). Round w to the nearest ten. 100 Let d = -23014.54817 + 23015. Let z = d + -0.455. What is z rounded to three dps? -0.003 Let n be -1 - 16/6*6/(-4). Suppose -3*q = 5*s + 1030, -n*s - 338 = q - 0*s. What is q rounded to the nearest 100? -400 Let t = 20 - 17.67. Let o = -2.32861 + t. What is o rounded to four dps? 0.0014 Suppose 0 = -17*i + i - 3584. Round i to the nearest 10. -220 Let k = -3474.785 - 143.865. Let c = k + 3311.519. Let z = c + 307. Round z to two decimal places. -0.13 Let v = 7810.640087 + -7810.8. Let b = v + 0.16. Round b to five decimal places. 0.00009 Let n = -120 + 66. Let w = -53.9999796 - n. Round w to six dps. 0.00002 Let i = -54.37 - -0.37. Let j = -84 - i. Let x = 29.9999962 + j. Round x to six decimal places. -0.000004 Let y = -5578125.0209 + 5577841. Let k = -993 - -709. Let w = k - y. Round w to 3 decimal places. 0.021 Let r = 13 - 1. Suppose -4*x + r + 0 = 0. Suppose x*f + 37048584 = -17551416. What is f rounded to the nearest 1000000? -18000000 Let m = 5.8 - -2.2. Let k = 7.9999781 - m. What is k rounded to five dps? -0.00002 Let m be (-72268536)/96 + 22/(-8). Round m to the nearest 10000. -750000 Let y = -1.863 - -27.888. Let q = -0.025 + y. Let n = 25.999932 - q. What is n rounded to 5 decimal places? -0.00007 Let v = 1492 - 1494.903. Round v to 1 decimal place. -2.9 Let i(p) = -586*p - 12. Let o be i(-12). Suppose 3*c + o = 5*c. Suppose 2*h + c = -h. What is h rounded to the nearest one hundred? -1200 Let p = 21610.951 + -21600. Let a = p - 11. Let r = a + 0.016. Round r to two decimal places. -0.03 Let w = 288 - 287.79. Let b = 2325 + -2324.78988. Let q = b - w. Round q to four dps. 0.0001 Let c = -3.4 - -3.43. Let a = 0.02999835 - c. Round a to seven decimal places. -0.0000017 Let t = -0.679945 + -0.43656. Let q = -2.31650475 - t. Let c = -1.2 - q. Round c to seven dps. -0.0000003 Let f = 0.17118 - 0.1125. Round f to 3 dps. 0.059 Let o = 0.583 + -3.337. Let a = 0.046 - o. What is a rounded to 0 decimal places? 3 Let n = -2.159849 + 2.16. Round n to 5 dps. 0.00015 Suppose 2*n + n + 5*k - 5764 = 0, -3*n + k + 5752 = 0. Round n to the nearest 10. 1920 Let z(a) = 30362*a + 116. Let c be z(32). Round c to the nearest 10000. 970000 Let l = -6.16 - -0.16. Let w = 5789.0650232 + -5795.065. Let i = l - w. Round i to six dps. -0.000023 Let j = -35 + -25. Let l = 59.9949 + j. Round l to 3 dps. -0.005 Suppose -237 = -4*o - r, -r + 12 = -5*r. Suppose -217500 = o*q - 55*q. Round q to the nearest 1000. -44000 Let h = -0.0378 + 0.03779374. Round h to six dps. -0.000006 Let b = 2.82 - 4.06. What is b rounded to one decimal place? -1.2 Let x = 0.2365 - 0.234. What is x rounded to two decimal places? 0 Let j = 14.006 + -7.93. Let n = -6 + j. What is n rounded to two decimal places? 0.08 Let u = 0.4400275 + -0.44. What is u rounded to five dps? 0.00003 Let b = -200 + 98. Round b to the nearest 10. -100 Let n = 1.028 + -1.028906. What is n rounded to four dps? -0.0009 Let f = 376478528 - 376478532.19999918. Let x = -6 + 10.2. Let d = x + f. Round d to 7 decimal places. 0.0000008 Let f = 527.3 - 556. Let v = -25 - f. Let c = 3.7000023 - v. What is c rounded to 6 dps? 0.000002 Let n = 71 - 36. Let v = n - 67. Let x be -2*4/(v/4). Round x to 0 dps. 1 Let k = 34 - 34.00046. Let o = k - -0.001. Round o to 4 decimal places. 0.0005 Let j be ((-20)/(-6))/(18/(-153522)). What is j rounded to the nearest 10000? -30000 Let h(t) be the first derivative of -21*t + 19/2*t**2 - 1/4*t**4 + 13/3*t**3 + 6. Let m be h(14). What is m rounded to the nearest ten? 50 Let x = 0.032 - -7.368. Let p = -0.08 + 3.08. Let y = x - p. What is y rounded to the nearest integer? 4 Suppose -1545260268 = -26*z - 4038660268. Round z to the nearest one million. -96000000 Let f = 150 - 224. Let t = -22 - f. Let k = t + -52.0087. What is k rounded to 3 decimal places? -0.009 Let u = -35.1 + 33.19. Let j = 0.69 - u. What is j rounded to zero decimal places? 3 Suppose a - 12 = -5*f, 4*a + 4 = 2*f + 52. Let y(p) = -p**3 + 17*p**2 - 19*p + 28. Let u be y(a). What is u rounded to the nearest one hundred? 500 Let x(h) = h**2 + 19*h + 52. Let t be x(-17). Let n be 14250/t*(-721 + 1)*-40. What is n rounded to the nearest 1000000? 23000000 Let w = 79.8 + -144.2. Let z = w + 94. What is z rounded to the nearest integer? 30 Let b = 1.073 + -2.37236. Let f = 25 + -23.7. Let i = f + b. Round i to four dps. 0.0006 Let o = -7557 + 15974. Suppose 3*n - 2*g = -o - 11943, 2*n = g - 13575. What is n rounded to the nearest one thousand? -7000 Let a = -181 - -183.865. What is a rounded to 1 dp? 2.9 Let g = -69.215 + 69. Let k = g - -0.214903. What is k rounded to 5 dps? -0.0001 Suppose -n - 4*n - 1450 = 0. Let o = n + 102. Let c = o - 1812. Round c to the nearest one thousand. -2000 Let s be (-2)/40*-5*-4. Let a be s/(3/(-3)) - -2. What is a rounded to the nearest integer? 3 Let d = -1052609.39903 - -1052621. Let o = 11.6 - d. Round o to 4 decimal places. -0.001 Let h be -2 + (-2 - -4) + -1. Let y(l) be the third derivative of 50*l**6 - 47*l**2. Let a be y(h). What is a rounded to the nearest one thousand? -6000 Let r = 65.1 + 233.5. What is r rounded to the nearest 10? 300 Let q = -0.945816 + -37.053624. Let l = -38 - q. What is l rounded to 4 decimal places? -0.0006 Let u = 1.0241 + 4685.9759. Let f = -4687.03003 + u. Let j = f + 0.03. What is j rounded
{ "pile_set_name": "DM Mathematics" }
2/11*k**4 + 12/11*k**3 + w*k. -2*(k - 2)**2*(k - 1)**2/11 Let o = 52 + -48. Let l be ((-2)/3)/((-12)/18). Let d(u) = 5*u**2 - 2*u + 5. Let b(t) = -t**2 + t - 1. Let w(v) = l*d(v) + o*b(v). Factor w(x). (x + 1)**2 Let j(h) be the first derivative of -6*h**5/5 - 9*h**4/4 + 2*h**3 + 9*h**2/2 + 159. Factor j(u). -3*u*(u - 1)*(u + 1)*(2*u + 3) Let l(b) be the third derivative of b**7/945 + 74*b**6/135 + 11099*b**5/135 + 3626*b**4/9 + 2401*b**3/3 + 82*b**2. Determine a, given that l(a) = 0. -147, -1 Let r(n) = 7*n**5 - n**4 + 2*n**3 + 6*n**2 + n. Let h(s) = -s**5 - s**4 - s. Let b(c) = 5*h(c) + r(c). Factor b(m). 2*m*(m - 2)*(m - 1)**2*(m + 1) Let j(o) be the second derivative of 1/15*o**6 + 2/3*o**2 + 0 - 1/2*o**4 - 1/30*o**5 - 1/3*o**3 - 41*o. Let j(z) = 0. Calculate z. -1, 1/3, 2 Let l(d) be the second derivative of 1/60*d**4 - 16*d + 0*d**2 + 0 + 1/30*d**3. Factor l(n). n*(n + 1)/5 Let k = 20 - -1. Factor -27*x + 8*x**3 - 14*x**3 - 63*x**2 - 21*x**3 - k*x - 12. -3*(x + 1)*(3*x + 2)**2 Let w = 347/1113 - 14/53. Let x(q) be the second derivative of w*q**7 + 0*q**2 + 1/3*q**4 - 1/10*q**5 + 3*q + 0*q**3 + 0 - 2/15*q**6. Factor x(u). 2*u**2*(u - 2)*(u - 1)*(u + 1) Let w = -9794 + 9796. Suppose 9/7*y**w - 12/7*y**3 + 0*y + 3/7*y**4 + 0 = 0. What is y? 0, 1, 3 Let g(n) be the first derivative of n**6/360 - n**5/30 + n**4/8 + 11*n**3/3 + 6. Let l(r) be the third derivative of g(r). Factor l(m). (m - 3)*(m - 1) Suppose -6925*d + 6893*d + 160 = 0. Find l, given that 17/4*l**2 - 1/2*l - 39/4*l**3 - 11/4*l**d + 0 + 35/4*l**4 = 0. 0, 2/11, 1 Let u be -7 + -10 + 3 - -3 - -13. Factor 3/8*x**u - x + 1/2. (x - 2)*(3*x - 2)/8 Suppose -4*y + 3*y + 3 = 0. Factor -4*n - n + 15*n - 10*n**y - 5*n**2 + 5*n**4. 5*n*(n - 2)*(n - 1)*(n + 1) Let f(m) be the first derivative of -m**8/1008 + m**6/180 - m**4/72 - 17*m**2/2 - 14. Let q(x) be the second derivative of f(x). Find v such that q(v) = 0. -1, 0, 1 Let i be (39/12 - 4)*-4. Factor 2*o**3 + 3*o**i - 4*o**3 - o + 0*o**3. o*(o - 1)*(o + 1) Let v(b) be the first derivative of b**3 - 87*b**2/2 + 84*b - 342. Find s, given that v(s) = 0. 1, 28 Let 6/13*v**2 + 0 + 0*v - 2/13*v**3 = 0. What is v? 0, 3 Let m(n) be the third derivative of -5/336*n**8 + 4/3*n**5 - 4*n**2 + 20/3*n**4 + 0 + 0*n + 40/3*n**3 - 1/6*n**6 - 5/42*n**7. Factor m(f). -5*(f - 2)*(f + 1)*(f + 2)**3 Suppose -y - 4*g = 5, -3*y - 2*g - 10 = -5*y. Determine k, given that -2*k**4 + 0*k**4 - 15*k**2 - y*k**4 + 20*k + 20 - 20*k**3 = 0. -2, -1, 1 Let z(s) be the second derivative of 0 - 12*s + 0*s**2 + 0*s**4 - 1/48*s**3 + 1/160*s**5. Factor z(u). u*(u - 1)*(u + 1)/8 Let p be ((-5)/15)/(1 - 2). Let w(x) be the first derivative of 0*x - 1/3*x**2 + p*x**3 - 1/12*x**4 + 5. Factor w(o). -o*(o - 2)*(o - 1)/3 Let f(g) be the third derivative of 0*g + 0 + 0*g**3 + g**2 + 0*g**6 - 1/24*g**4 + 1/30*g**5 + 1/336*g**8 - 1/105*g**7. Factor f(t). t*(t - 1)**3*(t + 1) Let m = 18862/7 + -2704. Let u = 734/63 + m. Find s such that -2*s - u*s**2 - 4/9 = 0. -1/2, -2/5 Let r be 11 + (-2 - 4/4). Suppose -f + r - 2 = 2*i, -f - 5*i + 12 = 0. Factor -6/7*a**f - 2/7*a**3 - 2/7 - 6/7*a. -2*(a + 1)**3/7 Suppose o - 3 = c, -4*o + 10 + 2 = 5*c. Factor 2*p**2 + p**4 + 27*p**o - 3*p**2 - 2*p - 25*p**3. p*(p - 1)*(p + 1)*(p + 2) Let z = -212 + 206. Let y be -1*(18/36)/(7/z). Determine t, given that 12/7 + y*t**2 - 15/7*t = 0. 1, 4 Suppose 0 = -0*x - x. Factor -t**2 + 0*t**2 + x*t**2 - 3*t**3 - 6*t - 8*t**2. -3*t*(t + 1)*(t + 2) Solve -103*w + 2*w**2 - 5*w**3 - 7*w**4 + 103*w = 0 for w. -1, 0, 2/7 Let b(j) be the second derivative of j**3/2 - 6*j**2 + 11*j. Let r be b(5). Factor 8*i**3 - r*i + 7*i**3 - 12*i**3. 3*i*(i - 1)*(i + 1) Suppose 34*f - 88*f - 3*f**3 - 20*f - 36 + 35*f**2 - 22*f = 0. What is f? -1/3, 6 Let q(c) be the first derivative of 4*c**3/3 - 30*c**2 + 56*c - 237. Find x, given that q(x) = 0. 1, 14 Let c(w) be the third derivative of -w**7/5880 + w**6/1680 + 11*w**4/24 + 17*w**2. Let z(l) be the second derivative of c(l). Factor z(d). -3*d*(d - 1)/7 Let y(u) be the third derivative of 1/15*u**4 + 6*u**2 - 1/75*u**5 + 0*u - 1/150*u**6 + 0*u**3 + 0. Factor y(b). -4*b*(b - 1)*(b + 2)/5 Let y(b) be the second derivative of -3*b + 0 + 5/6*b**4 + 1/4*b**5 - 5/6*b**3 - 5*b**2. Solve y(z) = 0 for z. -2, -1, 1 Suppose 1/8*d**3 + 11/4*d**2 - 47/8*d + 3 = 0. Calculate d. -24, 1 Let r be 8/((-2)/(8/(-4))*2). What is n in -7*n**3 + 5*n**3 - 12*n**2 - r*n**2 - 32*n = 0? -4, 0 Let 3/5*m**3 + 21/5*m - 9 + 21/5*m**2 = 0. Calculate m. -5, -3, 1 Let i be 24/6 - 33/9. Suppose -2*m = 5*j - 26 - 5, 0 = 3*m - 2*j + 1. Factor -5/3*c**2 - i*c**3 + m - c. -(c - 1)*(c + 3)**2/3 Let u = 31 + -32. Let z be 3/u + (-77)/(-21). Factor z*m - 1/3*m**2 - 1/3. -(m - 1)**2/3 Let m = 27 + -20. Let a be 8/30 - (74/(-10) + m). Suppose 1/6*r**2 + a + 2/3*r = 0. What is r? -2 Let b be 83/65 - 15/195. Let q(o) be the first derivative of -8/5*o - 3 + 8/15*o**3 - b*o**2. Factor q(m). 4*(m - 2)*(2*m + 1)/5 Let v = -2104 + 2106. Suppose -4/7 - 1/7*r**v + 4/7*r = 0. Calculate r. 2 Let f(u) = 13*u**3 - 87*u**2 + 245*u - 161. Let j(p) = 24*p**3 - 174*p**2 + 489*p - 321. Let k(z) = 9*f(z) - 5*j(z). Solve k(w) = 0. 1, 2, 26 Let m(q) be the third derivative of q**7/630 + q**6/90 + q**5/30 - 19*q**4/24 + 16*q**2. Let v(g) be the second derivative of m(g). Factor v(u). 4*(u + 1)**2 Let p be 20/((-3)/(-18)*2). Let f = 63 - p. Factor -2/5*n**f + 16/5 - 24/5*n + 12/5*n**2. -2*(n - 2)**3/5 Let g(l) = -108*l + 1193. Let t be g(11). Factor 1/2*p**t + 0 + 0*p + 0*p**2 + 3/2*p**4 + p**3. p**3*(p + 1)*(p + 2)/2 Let g(t) be the third derivative of t**8/1176 - 4*t**7/735 - t**6/420 + 2*t**5/105 - 2*t**2 + t. Determine j so that g(j) = 0. -1, 0, 1, 4 Let n(l) = 2*l**2 + 27*l + 28. Let z be n(-1). Factor -z*d**2 + 7/3*d**3 + 0 + 2/3*d. d*(d - 1)*(7*d - 2)/3 Let c(y) be the third derivative of -y**6/420 - 4*y**5/105 - 5*y**4/84 + 50*y**3/21 - 55*y**2. What is k in c(k) = 0? -5, 2 Let s(m) be the second derivative of 1/336*m**7 + 0*m**2 - 5/96*m**4 + 1/240*m**6 - 1/24*m**3 + 0 - 3/160*m**5 - 10*m. Factor s(x). x*(x - 2)*(x + 1)**3/8 Let l(b) be the third derivative of b**6/840 - 3*b**5/140 + 9*b**4/56 - b**3/3 - 19*b**2. Let z(h) be the first derivative of l(h). Solve z(j) = 0 for j. 3 Determine k so that -1/2*k**2 + 0*k + 2*k**3 + 0 = 0. 0, 1/4 Let o(l) be the second derivative of -8*l**7/21 + l**6/15 + 4*l**5/5 - l**4/6 + l + 16. Determine r so that o(r) = 0. -1, 0, 1/8, 1 Let p(v) be the first derivative of 9*v**3/4 - 141*v**2/8 + 15*v/2 - 82. Factor p(y). 3*(y - 5)*(9*y - 2)/4 Let d = -24077489/35541 + 7/3231. Let w = d + 678. Factor w*h + 2/11 + 6/11*h**2 + 2/11*h**3. 2*(h + 1)**3/11 Suppose 4*m + 5*f = -5, -3*f - 5 = -2*f. Factor -7*r**2 + 0 + 12*r**2 - 2 - m*r + 7*r**2. (3*r - 2)*(4*r + 1) Suppose -2/21*f**2 + 2/7*f + 0 = 0. Calculate f. 0, 3 Let t(i) be the third derivative of i**6/24 - 47*i**5/30 + 91*i**4/30 - 12*i**3/5 + i**2 + 74*i. Factor t(b). (b - 18)*(5*b - 2)**2/5 Let s(g) be the second derivative of -g**4/6 + 5*g**3/3 + 14*g**2 - 4*g + 4. Factor s(v). -2*(v - 7)*(v + 2) Let y = -1 + -6. Let q = 7 + y. Factor 9 + 7*k - 18*k - 3 + 3*k**2 + q. (k - 3)*(3*k - 2) Suppose d + s + 0 = 3, d - 3*s = -1. Factor -50/13*v**d - 40/13*v - 8/13. -2*(5*v + 2)**2/13 Let o(z) be the third derivative of z**8/40320 + z**7/2016 + z**6/360 - 9*z**5/20 + 4*z**2. Let y(v) be the third derivative of o(v). Find d such that y(d) = 0. -4, -1 Suppose -4*z = t - 125 - 206, -3*z - t = -249. Let p = z + -80. Let 0 - 6/5*w + 2/5*w**p = 0. What is w? 0, 3 Let i be ((-12)/15 - -2)/(33/110). Determine s so that -2*s**i - 3 - 3 - 8*s + 6*s**3 + 6 = 0. -1, 0, 2 Let k(u) be the third derivative of -5/3*u**3 - 1/24*u**6 + 0*u + 0 - 17*u**2 - 25/24*u**4 - 1/3*u**5. Factor k(d). -5*(d + 1)**2*(d + 2) Let l(t) be the third derivative of -9*t**8/112 - 17*t**7/35 - 19*t**6/40 + 21*t**5/10 + 7*t**4/2 - 4*t**3 + 3*t**2 - 125*t. Find z such that l(z) = 0. -2, -1, 2/9, 1 Let h(a) = 2*a**4 - a**3 + a**2 - a - 1. Let w(u) = 28*u**4 - 8*u**3 - 12*u**2 - 28*u + 20. Let d(v) = -12*h(v) + w(v). Suppose d(i) = 0. What is i? -2, 1, 2 Let i(y) = -17*y - 18. Let r be i(-11). Factor 8*k**2 - r*k + 86*k + 87*k + 5*k**3 + k**4. k*(k + 1)*(k + 2)**2 Let d be 6080/10450 + 2/(-11). Solve -16/
{ "pile_set_name": "DM Mathematics" }
-2646 - -6801. Suppose -i*f = -5*f + d. Is f composite? True Let u = -173 + 232. Suppose 0 = u*s - 27*s - 931936. Is s a composite number? False Let r(k) = k**3 + 8 + 3 - 5*k + k**2 - 5. Let s be r(-3). Suppose s*l - 2*l - 719 = 0. Is l a composite number? False Suppose -4*b + 7*b + 109 = 2*g, -253 = -4*g - b. Let l = g - 64. Let j(z) = -108*z**3 - 2*z + 1. Is j(l) prime? False Suppose -320 = 16*j - 56*j. Suppose 2*g - 33 = -4*c + 15, g - 5*c - 59 = 0. Suppose 2*u + 3*i - 36 + j = 0, -4*u + g = -5*i. Is u a composite number? False Suppose 399*f = 407*f - 411816. Is f composite? True Suppose -4 = -u - 19. Let c(j) = -j**3 + 32. Is c(u) composite? False Let g(v) = -v**3 - 18*v**2 + 18*v - 31. Let k be g(-21). Let o = k + 3413. Is o prime? True Let k = 1339 - 682. Suppose -4*h = -591 - k. Suppose -5 = p, 6*d = 2*d - 4*p + h. Is d a prime number? True Let p(l) = 60*l + 10. Let r = 37 + -29. Let h be p(r). Suppose -4*c - 186 = -q - q, -5*q + h = -5*c. Is q a composite number? False Let y = 94 - 214. Let d be 6/45 - 464/y. Suppose d*x + 7*x = 29513. Is x prime? True Suppose -15006958 = -351*a - 5916609 + 4035998. Is a composite? False Let h = -58044 - -110445. Is h a prime number? False Suppose 2*v = 4*w - 238, -w + 4*w + v = 166. Suppose w*y - 63*y - 408 = 0. Let u = 247 + y. Is u composite? False Suppose 97155 + 36375 = 9*h - 254829. Is h a composite number? False Let a(z) = -z**3 - 2*z**2 - z - 8. Let i be a(0). Let o = -29 - i. Is 48/o + 2 + 2767/7 a composite number? True Let t be (-6)/4*16/(-12). Suppose 0 = 35*h - 80 - 25. Suppose -t*v = h*v - 6805. Is v a composite number? False Let z be 4/6*(-102)/(-4). Suppose -z*q + 1530 = -16*q. Let a = q - 781. Is a prime? False Let x be (-4)/(4/6*24/(-8)). Suppose u = x*z + 6333, -11*u + 7*u + 25332 = -4*z. Is u composite? True Let v(w) = 2*w**2 - 33*w - 283. Let i be v(-7). Suppose -65*l + i*l + 406163 = 0. Is l composite? False Suppose 7*s - 10*s = -189. Let c be ((-10170)/s)/((-1)/(-28)). Let i = c + 6853. Is i composite? False Is (188/(-564) - (-8)/6)*19409636/4 a composite number? False Let p = -307749 - -582110. Is p a composite number? False Suppose 3*k = d - 136943, -4*k = 464*d - 465*d + 136937. Is d a composite number? True Let c = 49824 + -31747. Is c a prime number? True Let y = 596183 + -346254. Is y composite? True Suppose 0 = -2*c, 0*c - 2*c = 2*x + 40. Let p = 44 + x. Suppose p*w - 56686 = 10*w. Is w a composite number? False Suppose 12*n - 13*n + 3*t + 4809 = 0, t = -2*n + 9576. Is n prime? False Suppose 39*p - 39 = 156. Suppose 17795 = r - 4*y - y, r + p*y = 17775. Is r composite? True Let g be 2 + (76 - 0) - 2. Let j = 495 - g. Is j a composite number? False Let v be (-1)/2*(-7 + 1). Suppose 0 = 2*l - v*l + 1458. Suppose 2*k + 3*a = -0*a + 997, 3*a = 3*k - l. Is k a composite number? False Suppose -y = -3*f + 11, -13*f + 9*f + 6 = 3*y. Is (y/5)/((-2)/84190) prime? False Let v be 2 + 0/2 - 0. Suppose -24 = 3*b + 4*d - d, b + 12 = -3*d. Is (-8 - 6404/b)/(v/3) a prime number? False Suppose 20*v + 21810 = 25*v. Suppose -37*n + 34*n + v = 0. Suppose -5*j = -n + 159. Is j prime? False Let c = -3820 - -4661. Suppose 2*j = -p - 3*j + 1599, -4*j + 7974 = 5*p. Let n = p - c. Is n a composite number? True Suppose -5*w = -3*w + 4*g - 24, 0 = 5*w + 2*g - 92. Suppose 3453 = 23*j - w*j. Is j a prime number? True Suppose k + 85*u = 84*u + 93458, -k + 93468 = 3*u. Is k composite? True Let x be 5 - 39/(-6)*138. Suppose -x + 345 = -a. Is a composite? False Suppose 15 = 3*u, -3*k + 6577 = -2*u - 7162. Is k composite? False Let w be ((-13)/((-52)/(-120)))/(-1). Suppose w = -8*i + 118. Suppose -7*v = -i*v + 708. Is v a prime number? False Let k(w) be the first derivative of 4*w**3 + 10*w**2 + 2*w - 256. Is k(-6) prime? False Let f(m) = 138*m**2 - 62*m - 7. Is f(8) a prime number? True Suppose -61*u + 122*u - 78*u + 1970827 = 0. Is u a prime number? True Is 661273 + -30 - (-13 + 3) prime? True Suppose -4*f + 678474 = 2*w, 2*f - 95472 = w - 434717. Is w a composite number? True Let n be (-2)/(-11) - 790/(-11). Let f be -2*(0 - 17/(-2)). Let h = f + n. Is h a composite number? True Let s = -9 + 11. Suppose -4*i + 124 = 2*v + s*v, -4*i + 3*v = -131. Let j = i + 713. Is j prime? False Suppose -g - 2038 = -0*a - 2*a, -a + 8180 = -4*g. Let f = 3665 + g. Is f composite? False Let f(p) = -p**3 - 22*p**2 - 3*p - 106. Let v be f(-17). Let w = 9889 - v. Is w composite? True Let p(a) = 5274*a - 121. Let x be p(4). Suppose 32*n - x = 27*n. Is n composite? True Let w = 465710 - -63671. Is w composite? False Suppose 0 = -m - 1 + 797. Let l = -2443 - -1701. Let b = m - l. Is b a prime number? False Suppose 39 = t - 3*y + 4*y, -3*y = -12. Suppose 104621 + 28274 = t*u. Is u a composite number? False Let k(h) = 30*h - 6. Let v be k(-2). Let a = v - -66. Suppose -5*m + m + 1436 = a. Is m composite? False Suppose 19*w + 5012730 = 37*w. Is w a composite number? True Let h(n) = 5348 - 6*n + 1631 + 13*n - n**2. Is h(0) a prime number? False Let k(u) = 39*u**2 - 18*u - 979. Is k(58) a prime number? False Let n = -779672 - -1223173. Is n prime? True Let g = -14137 - -28160. Is g a composite number? True Let l(t) = 30391*t**2 - 22*t - 296. Is l(-5) composite? False Suppose 152*q = 87*q + 8814845. Is q prime? True Let p(s) be the third derivative of 3*s**6/16 - s**5/15 + s**4/2 - 12*s**2. Let n(i) be the second derivative of p(i). Is n(3) a prime number? True Let u = -77283 + 972176. Is u a prime number? True Let r = -8 + 10. Suppose 0 = -r*l + 8*l + 186. Let g = 294 + l. Is g prime? True Let q = 56 - 43. Suppose 0 = -o - 3 + q. Suppose 3*w + 7833 = o*w. Is w prime? False Suppose -3 = q, m + 6*q = q + 56964. Suppose -4541 = 4*t - 2*d - m, -d = -t + 13108. Is t a prime number? False Suppose 4*i - 8155 = -5*a, -a + 2*a + 3*i - 1620 = 0. Let v = a + 4691. Is v prime? False Let k(f) = -2*f + 3. Let d be k(2). Let p be -2 - (65/(-13) - -3548). Is p/((-1)/d*3/(-3)) composite? True Suppose v = -2*m + 17333, 34672 = 4*m + 5*v - v. Let j = m + -5076. Is j a composite number? True Let p(g) = 200700*g**2 - 215*g - 17. Is p(2) a composite number? True Let c be 28389*(3 - (-32)/(-12)). Let d = 2734 + c. Is d a composite number? False Let o(h) = -1555*h**3 - 6*h - 25. Is o(-6) prime? False Let r = -525 - -529. Suppose 2*g - r*a = 3298, -4*g + 310 = -4*a - 6266. Is g a composite number? True Suppose 2*u = -z + 322, -7*u - 1288 = -4*z - 8*u. Is (-6)/14 - (-1211180)/z a prime number? True Let r = 19106 + 6627. Is r prime? True Let p be 1/(-7) + 2065/49. Let t(o) = 27*o**2 + 2. Let q be t(3). Let l = p + q. Is l a prime number? False Let g = 37528 + -13467. Is g a prime number? True Suppose 40 = 10*p + 30. Is (935 - 12) + (1 - (p + 4)) prime? True Let m = 67686 - -253315. Is m prime? False Let h(s) = 115026*s**2 - 434*s - 1297. Is h(-3) prime? False Let x be (2/5)/((-35)/225)*-14. Let a(q) = 166*q - 137. Is a(x) a composite number? False Suppose -4*p = -3*i + i - 312, -4*i - 4*p = 624. Let h = 131 - i. Is h a composite number? True Let m(q) = -254*q**3 - 2*q**2 + 7*q - 15. Let d be 4/10*180/(-7 - 11). Is m(d) a prime number? False Suppose 21 = -16*f - 27. Is 263/6*-10*f a prime number? False Let u(r) = -r**3 + r**2 - r + 3. Let j be u(0). Let z(v) = -57*v**2 - 11*v + 12. Let h be z(j). Let l = h + 1685. Is l prime? True Let q be 70/(-15)*210 + -8. Let p = 5897 + q. Is p a composite number? False Let k(u) = u**3 - 8*u**2 + 15*u + 3. Suppose 121*j = 123*j - 50. Is k(j) composite? False Let h be (2/(-3))/(84/(-18) + 5). Let p = -2 - h. Let a(g) = 4*g + 679. Is a(p) a composite number? True Let i(t) = t + 1. Let k(r) = 160*r + 19. Let l(h) = h**3 - 15*h**2 + 14*h - 3. Let g be l(14). Let f(z) = g*i(z) + k(z). Is f(3) composite? False Let q = 30 + 29. Let h = -55 + q. Suppose h*w - 5*f - 8109 = 0, -5*w + 6108 + 4050 = f. Is w prime? False Let n(z) = z + 10. Let g be 46/(-4) - 15/(-10). Let b be n(g). Suppose t + b*t = 5*x - 789, -4 = -4*t. Is x a composite number? True Let a(q) = -184*q + 7. Is a(-4) a prime number? True Suppose -138898 = -8*j + 179778 + 57060. Is j a prime number? False Let c = 579290 - 344001. Is c a prime number? True Suppose 4*u + 5555 - 35683 = 0. Let g = -3021 + u. Is g prime? False Let t(v) = -8 + 17 + 8*v + 4*v**2 - 9*v + 4*v.
{ "pile_set_name": "DM Mathematics" }
o) be the first derivative of r(o). Factor a(v). 2*(v + 2)**2 Let w(o) = -11*o**3 - 8*o**2 + 23*o - 17. Let q(y) = 5*y**3 + 4*y**2 - 11*y + 8. Let h = 13 + -7. Let z(a) = h*w(a) + 13*q(a). Factor z(m). -(m - 2)*(m - 1)**2 Let v(w) be the third derivative of w**7/4200 - w**6/900 + 2*w**3/3 - w**2. Let x(c) be the first derivative of v(c). What is f in x(f) = 0? 0, 2 Factor 0*o + 0*o**2 - 2/7*o**5 + 0 + 0*o**3 + 4/7*o**4. -2*o**4*(o - 2)/7 Let y(l) be the second derivative of -2*l + 0*l**2 - 1/30*l**4 + 0*l**3 + 0*l**5 + 0 + 1/75*l**6. Factor y(c). 2*c**2*(c - 1)*(c + 1)/5 Let k be 44/(-24) + 1 - -1. Let g(i) be the first derivative of -2 - k*i**4 + 1/3*i**2 + 2/9*i**3 - 2/3*i. Let g(s) = 0. Calculate s. -1, 1 Let n(m) be the second derivative of 2*m**6/15 - m**5/5 - m**4/3 + 2*m**3/3 + 32*m. Factor n(r). 4*r*(r - 1)**2*(r + 1) Let w(h) be the second derivative of h**5/210 - h**2/2 + 3*h. Let g(i) be the first derivative of w(i). Factor g(x). 2*x**2/7 Let d(c) be the third derivative of 1/80*c**6 + 1/24*c**5 + 0*c + 0*c**3 - 1/420*c**7 - 4*c**2 - 1/672*c**8 + 1/24*c**4 + 0. Find k, given that d(k) = 0. -1, 0, 2 Let d be (-2)/5 - (-216)/15. Suppose -3*a = t - 6*a - d, 0 = 4*a + 12. Factor -t*x**3 - 4*x**2 - 2*x**4 + 0*x**3 + x**3 - 2*x**3. -2*x**2*(x + 1)*(x + 2) Let u = 148/85 - 12/85. Factor -2/5*r**2 - u - 8/5*r. -2*(r + 2)**2/5 Let i be (3/(-4))/(1/(-4)). Suppose i*k + 2*k = 25. Suppose k*z**2 + 3*z - 3*z**2 + z = 0. What is z? -2, 0 Let -6*m**3 + 4*m**4 + 3*m**2 - 2*m**3 + 2*m**2 - m**2 = 0. What is m? 0, 1 Let j(v) = 3*v**2 - 16*v - 7. Let w be j(6). Factor 0*y + 1/3*y**4 + 0 + 1/3*y**w - 1/3*y**2 - 1/3*y**3. y**2*(y - 1)*(y + 1)**2/3 Let m(h) = h**2 + 17*h + 11. Let p be m(-15). Let r = p + 19. Factor 4/3*t**2 + 4/3*t**3 - 5*t**4 + 0 + r*t. -t**2*(3*t - 2)*(5*t + 2)/3 Let z(i) = -i**3 - 8*i**2 + i + 11. Let t be z(-8). Let a(q) be the second derivative of -t*q - 1/42*q**4 + 0*q**3 + 1/7*q**2 + 0. Factor a(p). -2*(p - 1)*(p + 1)/7 Let x(v) be the second derivative of 0*v**2 + 0 + 2/33*v**3 - v - 1/66*v**4. Factor x(o). -2*o*(o - 2)/11 Let z(h) be the first derivative of 16*h**5/5 - 23*h**4 - 8*h**3 + 7. Solve z(p) = 0 for p. -1/4, 0, 6 Let h = 157/987 + -3/47. Let l(s) be the first derivative of 2/7*s + 0*s**2 - 2 - h*s**3. Factor l(d). -2*(d - 1)*(d + 1)/7 Let i(r) be the third derivative of r**8/9240 - r**7/4620 - 7*r**3/6 + r**2. Let h(u) be the first derivative of i(u). Factor h(l). 2*l**3*(l - 1)/11 Let m be (-2)/(-1) - (12 + -13). Factor 0 + 0*q**2 - 1/2*q**m + 0*q + 1/2*q**4. q**3*(q - 1)/2 Find p, given that p**5 - 6*p**2 + 7*p - 150 + 0*p**4 + 156 - 8*p**3 + 0*p**4 = 0. -2, -1, 1, 3 Let w(q) be the first derivative of 7*q**6/1440 + q**5/96 - q**4/48 + 5*q**3/3 - 2. Let j(b) be the third derivative of w(b). Find y such that j(y) = 0. -1, 2/7 Let d(n) = -2*n**4 + 14*n**3 + 4*n**2 + 8*n. Let p(h) = 3*h**4 - 15*h**3 - 3*h**2 - 9*h. Let l be 1/(8/(-6))*8. Let o(a) = l*d(a) - 5*p(a). Factor o(i). -3*i*(i + 1)**3 Factor 2/3*u + 2/9*u**2 + 0. 2*u*(u + 3)/9 Factor -3*l**3 - 9*l**5 - 6*l**4 - 7*l**5 + 13*l**5. -3*l**3*(l + 1)**2 Suppose -j = 2*j + 3. Let x = -1/2 - j. Factor 1/4*n**3 - 3/4*n + 0*n**2 + x. (n - 1)**2*(n + 2)/4 Let f(j) be the second derivative of 0*j**4 - j - 1/5*j**5 + 0 - 1/21*j**7 + 0*j**3 + 0*j**2 + 1/5*j**6. Let f(n) = 0. What is n? 0, 1, 2 Suppose 4*z = -5*z + 18. Solve -2/3 + 1/3*o**3 + 5/3*o - 4/3*o**z = 0 for o. 1, 2 Let m(n) = 10*n - 2. Let d be m(2). Factor -18*v - 2*v**2 - 2*v**3 + d*v. -2*v**2*(v + 1) Suppose 3 + 3 = 3*f. Let u be (-3)/f*32/(-12). Factor 3*n - u - n - 3*n**2 + 4*n + n**2. -2*(n - 2)*(n - 1) Let n(w) be the first derivative of -2*w**4/7 - 22*w**3/21 + 3*w**2/7 - 13. Suppose n(t) = 0. Calculate t. -3, 0, 1/4 Suppose -3*v + 5*x + 16 = 0, 0*v + 2 = 2*v + x. Factor 0*h - 3*h**v + h**3 + 1 - 2 + 3*h. (h - 1)**3 Factor 3*j - 30*j**5 - 6*j**3 + 62*j**5 - 29*j**5. 3*j*(j - 1)**2*(j + 1)**2 Let o(m) be the third derivative of -5*m**8/336 + m**7/42 + m**6/24 - m**5/12 - m**2. Factor o(j). -5*j**2*(j - 1)**2*(j + 1) Let s = 25 + -22. Determine c, given that 0 + 4/7*c**2 + 2/7*c**s + 2/7*c = 0. -1, 0 Suppose 18*u = 21*u. Let k(t) be the third derivative of 0 + 1/360*t**6 + 1/9*t**3 - 3*t**2 - 1/24*t**4 + 0*t + u*t**5. Determine q so that k(q) = 0. -2, 1 Let j(v) be the first derivative of -3*v - 1 + 3/2*v**2 + 2*v**3. Suppose j(l) = 0. Calculate l. -1, 1/2 Let p = 100 + -498/5. Let w be (-39)/(-30) - 2/(20/5). Factor 6/5*m**2 - p + w*m. 2*(m + 1)*(3*m - 1)/5 Let c(s) be the second derivative of -5*s + 1/60*s**5 + 0*s**2 - 1/126*s**7 + 0 + 0*s**3 - 1/36*s**4 + 1/90*s**6. Factor c(i). -i**2*(i - 1)**2*(i + 1)/3 Suppose -v - 2*v - 54 = -3*n, 5*n - 105 = 2*v. Let y = -205/9 + n. Suppose 0*z - 2/9 + y*z**2 = 0. What is z? -1, 1 Let a(z) be the first derivative of -z**6/3 - 6*z**5/5 + 2*z**4 + 32*z**3/3 - 32*z + 37. Factor a(t). -2*(t - 2)*(t - 1)*(t + 2)**3 Let v(y) = y**2 + 3*y - 3. Let x(q) be the first derivative of q**3/3 + q**2 - 2*q + 3. Let r(l) = 2*v(l) - 3*x(l). Suppose r(h) = 0. Calculate h. 0 Suppose 0 = -2*q - 1 - 1. Let c be (q - -1) + -5 + 8. Solve -3 + c + g - g**3 = 0 for g. -1, 0, 1 Let x(q) = q**2 + 5*q - 2. Let o be x(-5). Let t = 12 + o. Determine j so that 14*j**2 - 2*j**2 + 2*j + 6*j**3 - 6*j**5 - t*j**4 - 2 - 2*j**3 = 0. -1, 1/3, 1 Suppose -7/3*l**2 - 2/3*l - 2/3*l**3 + 1 = 0. Calculate l. -3, -1, 1/2 Let g = 4/67 + 642/469. Solve -8/7*m**4 + 0*m + 0 - 4/7*m**2 - g*m**3 - 2/7*m**5 = 0 for m. -2, -1, 0 Let k(r) be the third derivative of -r**8/336 - 2*r**7/105 - r**6/24 - r**5/30 + 11*r**2. Solve k(v) = 0. -2, -1, 0 Let q(k) = 3*k - 2*k - 5*k**3 - k**3 + 5*k**3. Let l(o) = -13*o**3 - 6*o**2 + 7*o. Let v(i) = l(i) - 5*q(i). Factor v(c). -2*c*(c + 1)*(4*c - 1) Let g be 2/(-4) + (-77)/(-66). What is j in 2/3*j**3 + g - 5/3*j + 1/3*j**2 = 0? -2, 1/2, 1 Let a be -62*(-1)/35 + 616/(-1078). Factor -9/5*m + 6/5*m**3 + 3/5*m**5 - a*m**2 + 9/5*m**4 - 3/5. 3*(m - 1)*(m + 1)**4/5 Let q be 4/(-22) + 57/132. Factor -q - 1/2*a - 1/4*a**2. -(a + 1)**2/4 Factor 1/4*i - 1/8*i**2 - 1/8. -(i - 1)**2/8 Let d(b) be the first derivative of -4*b**3/57 - b**2/19 - 3. Factor d(p). -2*p*(2*p + 1)/19 Let j(x) be the first derivative of 0*x + 4*x**4 + 2*x**2 - 6/5*x**5 - 14/3*x**3 - 2. Let j(b) = 0. What is b? 0, 2/3, 1 Let i(g) be the first derivative of g**5 + 5*g**4/2 - 5*g**3 - 56. Solve i(f) = 0 for f. -3, 0, 1 Let x(f) be the first derivative of -f**6/200 + f**4/40 + 2*f**2 - 2. Let q(h) be the second derivative of x(h). Factor q(p). -3*p*(p - 1)*(p + 1)/5 Let l(v) be the third derivative of 0 + v**2 - 1/4*v**4 + 0*v + 2/3*v**3 + 1/20*v**5 - 1/240*v**6. Suppose l(t) = 0. Calculate t. 2 Let c(a) be the second derivative of -a**4/3 - 4*a**3/3 - 2*a**2 - 2*a. Suppose c(q) = 0. Calculate q. -1 Let j(w) be the first derivative of -2/21*w**3 - 3/7*w**2 - 4/7*w + 3. Factor j(t). -2*(t + 1)*(t + 2)/7 Let s(w) be the first derivative of -2*w + 2/3*w**3 + 2 - w**2 + 1/2*w**4. Determine y so that s(y) = 0. -1, 1 Let c be (-3)/(-2) - 2/(-4). Let a = 6 - c. Let -x**2 + 3*x**5 + 5*x - a*x - 4*x**3 - x**2 + 2*x**4 = 0. Calculate x. -1, 0, 1/3, 1 Suppose 3*u + 3 = 21. Suppose -u*o + 9 = -3*o. Factor 4*z**2 + 0*z**3 - z + 0*z**2 - 3*z**o. -z*(z - 1)*(3*z - 1) Let w(r) = -3*r - 1. Let x be w(-1). Suppose x*v - 15 = -3*v. Solve 6*h**3 - 3*h**3 - 10*h**4 + 5*h**v - 4*h**3 - 14*h**5 = 0. -1, 0, 2/7 Let k = 27 + -27. Let z(s) be the first derivative of 1/2*s**4 - 4 + 0*s**2 - 1/5*s**5 + k*s - 1/3*s**3. What is w in z(w) = 0? 0, 1 Let x(v) = -4*v**2 + 12*v - 40. Let q(d) = d + 2. Let k(l) = -8*q(l) - x(l). Factor k(g). 4*(g - 3)*(g - 2) Let h be (-1)/(-3) - 35/(-21). Let q(m) be the third derivative of 1/6*m**3 + 0*m - m**h + 0 + 1/60*m**5 - 1/12*m**4. Suppose q(l) = 0. Calculate l. 1 Let k(p) = p**4 + 11*p**3 - 5*p**2 - 15*p + 12. Let c(g) = 2*g**4 + 10*g**3 - 4*g**2 - 15*g + 12. Let z(r) = 4*c(r) - 5*k(r). Find w such that z(w) = 0. -1, 1, 4 Let o(x) = -3*x**4 + 3*x**2 - 2*x - 2. Let k(q) = q**4 - q**2 + q + 1. Let j(h) = 6*k(h) + 3*o(h). Factor j(d). -3*d**2*(d - 1)*(d + 1) Let w(a) be the first derivative of 2/15*a**3 + 3/5*a**2 + 4/5*a - 3. Factor w(q). 2*(q + 1)*(q + 2)/5 Let h(n) = n**2 + 3*n + 2. Let i be h(-3). Let b = -13
{ "pile_set_name": "DM Mathematics" }
What is 0.003408 rounded to 4 decimal places? 0.0034 Round -63.25 to the nearest ten. -60 Round -8857 to the nearest one hundred. -8900 What is 0.0012131 rounded to four dps? 0.0012 Round 11.581 to 1 dp. 11.6 Round -50.48 to the nearest 10. -50 Round 2.05 to the nearest ten. 0 Round -970 to the nearest 100. -1000 Round -877.19 to the nearest ten. -880 What is -1207000 rounded to the nearest one hundred thousand? -1200000 What is 0.762 rounded to zero decimal places? 1 What is 0.003669 rounded to four decimal places? 0.0037 Round -53874 to the nearest 1000. -54000 What is 6304600 rounded to the nearest 10000? 6300000 What is -0.239 rounded to one dp? -0.2 What is -297470 rounded to the nearest one hundred thousand? -300000 Round -7.8575 to zero dps. -8 Round 54900 to the nearest 1000. 55000 Round -1.7984 to one dp. -1.8 Round -19660000 to the nearest 1000000. -20000000 What is 138000 rounded to the nearest ten thousand? 140000 What is -8603 rounded to the nearest one thousand? -9000 Round 0.0001051 to 5 dps. 0.00011 Round -0.0000441237 to 6 decimal places. -0.000044 Round 69.131 to 0 dps. 69 Round 0.000005487 to 7 dps. 0.0000055 Round 0.000065484 to six dps. 0.000065 What is 113230 rounded to the nearest 10000? 110000 Round 450.16 to the nearest ten. 450 Round -94240000 to the nearest one million. -94000000 Round -0.0032326 to 5 dps. -0.00323 What is -0.00088795 rounded to four dps? -0.0009 What is 0.00009956 rounded to 5 decimal places? 0.0001 Round -0.04379 to three decimal places. -0.044 What is 0.0164312 rounded to 4 decimal places? 0.0164 What is 223.92 rounded to zero dps? 224 What is -4.31 rounded to 1 decimal place? -4.3 What is -0.04597 rounded to 1 decimal place? 0 What is 17655 rounded to the nearest one thousand? 18000 What is 20341000 rounded to the nearest 1000000? 20000000 What is 1005300 rounded to the nearest one hundred thousand? 1000000 Round 1.111 to 0 dps. 1 What is 0.27492 rounded to 3 dps? 0.275 What is -25400 rounded to the nearest 1000? -25000 Round -0.000014596 to 6 dps. -0.000015 Round -413100 to the nearest 100000. -400000 Round 117390 to the nearest 100000. 100000 Round 14153.5 to the nearest 100. 14200 What is -0.03149 rounded to 3 dps? -0.031 Round -0.0026129 to 5 decimal places. -0.00261 Round -1.51585 to 2 dps. -1.52 What is 24550000 rounded to the nearest 1000000? 25000000 Round -6.184 to the nearest integer. -6 What is 0.00836 rounded to three decimal places? 0.008 What is -24380 rounded to the nearest ten thousand? -20000 What is 0.0000723 rounded to 5 decimal places? 0.00007 Round 0.003021 to four decimal places. 0.003 What is 0.00006881 rounded to 6 decimal places? 0.000069 What is -0.00000345 rounded to six decimal places? -0.000003 Round 0.000017118 to seven decimal places. 0.0000171 What is -2411500 rounded to the nearest one million? -2000000 What is -0.0000828 rounded to 4 decimal places? -0.0001 Round -28860 to the nearest one hundred. -28900 What is 0.00028233 rounded to five decimal places? 0.00028 What is -0.56339 rounded to 1 dp? -0.6 What is 630400 rounded to the nearest ten thousand? 630000 What is -996 rounded to the nearest one hundred? -1000 Round -40000 to the nearest one hundred thousand. 0 Round 3786000 to the nearest 100000. 3800000 What is 125400 rounded to the nearest 10000? 130000 Round 0.016196 to 4 decimal places. 0.0162 What is -1441000 rounded to the nearest one hundred thousand? -1400000 Round 1.4 to the nearest ten. 0 Round -0.22683 to 3 dps. -0.227 What is 0.000051332 rounded to 5 decimal places? 0.00005 Round -143400000 to the nearest 1000000. -143000000 What is -20.81 rounded to 0 dps? -21 Round 1364.88 to the nearest ten. 1360 What is 0.000241 rounded to 4 dps? 0.0002 What is -3496 rounded to the nearest one hundred? -3500 Round -55480000 to the nearest one million. -55000000 Round -0.00017621 to 6 dps. -0.000176 Round 512814000 to the nearest 1000000. 513000000 What is -0.80136 rounded to 2 dps? -0.8 Round 0.000016 to 6 dps. 0.000016 What is 751000 rounded to the nearest 100000? 800000 Round -16015 to the nearest one thousand. -16000 Round -3.7674 to 1 dp. -3.8 Round 1781 to the nearest 1000. 2000 Round 1431 to the nearest one hundred. 1400 Round -0.0002604 to 6 dps. -0.00026 Round 4577500 to the nearest one million. 5000000 Round -0.0005853 to 4 dps. -0.0006 Round -0.0026326 to 4 dps. -0.0026 Round 0.1065 to two dps. 0.11 What is -22.89 rounded to the nearest ten? -20 What is 0.06747 rounded to two decimal places? 0.07 Round 0.00000008602 to seven dps. 0.0000001 What is 0.0006448 rounded to four decimal places? 0.0006 Round -35.5122 to one decimal place. -35.5 Round 2427700 to the nearest one hundred thousand. 2400000 Round -6.7 to the nearest ten. -10 Round -0.0000525 to six dps. -0.000053 What is -2.6316 rounded to two decimal places? -2.63 What is 54.1 rounded to the nearest one hundred? 100 What is 0.07214 rounded to 2 decimal places? 0.07 Round -1.03505 to two dps. -1.04 Round 0.00022463 to five dps. 0.00022 Round -0.0000004655 to 7 dps. -0.0000005 Round 0.00005852 to five dps. 0.00006 Round 60.4 to the nearest one hundred. 100 What is -0.0002182 rounded to 6 decimal places? -0.000218 What is 5317000 rounded to the nearest 100000? 5300000 Round 0.000004223 to 6 decimal places. 0.000004 What is -2442.7 rounded to the nearest 100? -2400 What is -38.4 rounded to the nearest one hundred? 0 Round 49123 to the nearest 1000. 49000 What is -35357000 rounded to the nearest one hundred thousand? -35400000 Round 0.00000013403 to seven decimal places. 0.0000001 What is -86.37 rounded to the nearest integer? -86 What is 0.9751 rounded to 1 dp? 1 What is -1412400 rounded to the nearest 10000? -1410000 What is 58.75 rounded to the nearest integer? 59 What is 0.683 rounded to 0 decimal places? 1 What is 0.2235 rounded to 2 decimal places? 0.22 What is -0.000483 rounded to four dps? -0.0005 What is 9854 rounded to the nearest 100? 9900 Round 0.00001538 to five decimal places. 0.00002 Round 2.1962 to two decimal places. 2.2 What is -3010 rounded to the nearest 1000? -3000 What is 0.00533 rounded to four dps? 0.0053 What is 702 rounded to the nearest 10? 700 Round 304430000 to the nearest 1000000. 304000000 What is -547200 rounded to the nearest one hundred thousand? -500000 Round 20120 to the nearest one hundred thousand. 0 Round -0.000032286 to seven dps. -0.0000323 Round -0.000047 to five decimal places. -0.00005 What is -0.001407 rounded to 4 decimal places? -0.0014 What is 4.834 rounded to 1 decimal place? 4.8 Round -0.0000058826 to 7 decimal places. -0.0000059 Round 0.005421 to three decimal places. 0.005 What is 0.000032897 rounded to 7 dps? 0.0000329 What is 46.59 rounded to the nearest ten? 50 Round -0.100263 to two decimal places. -0.1 Round -0.000002555 to 6 dps. -0.000003 What is -274.89 rounded to the nearest 100? -300 Round -26466.9 to the nearest 1000. -26000 Round -44.1573 to the nearest integer. -44 What is -0.000000139 rounded to 7 dps? -0.0000001 Round -0.03717 to two dps. -0.04 Round 0.00133121 to 3 decimal places. 0.001 What is 1.182 rounded to 1 decimal place? 1.2 Round 8.391 to the nearest integer. 8 What is 31120 rounded to the nearest 1000? 31000 What is -3180000 rounded to the nearest 1000000? -3000000 What is 3.6469 rounded to one decimal place? 3.6 Round 242990000 to the nearest 1000000. 243000000 Round -2.3744 to two dps. -2.37 What is -110000 rounded to the nearest 10000? -110000 Round -0.0000056 to seven dps. -0.0000056 What is -0.001315 rounded to 4 dps? -0.0013 What is 778 rounded to the nearest 100? 800 What is -76300000 rounded to the nearest 1000000? -76000000 What is -62086 rounded to the nearest 10000? -60000 What is -17500000 rounded to the nearest 1000000? -18000000 What is 1.38325 rounded to 3 decimal places? 1.383 What is 289280000 rounded to the nearest 1000000? 289000000 What is -14.96 rounded to 0 dps? -15 What is 16.044 rounded to the nearest ten? 20 Round 1080 to the nearest 100. 1100 What is 1.507 rounded to one dp? 1.5 What is 0.929 rounded to two dps? 0.93 Round 0.00001024 to seven decimal places. 0.0000102 Round 0.2893 to one decimal place. 0.3 What is 263.5 rounded to the nearest ten? 260 What is 0.00133586 rounded to 4 decimal pla
{ "pile_set_name": "DM Mathematics" }
x. 30/323 Three letters picked without replacement from yqssyqqnq. What is prob of picking 1 q, 1 s, and 1 n? 2/21 Three letters picked without replacement from psssxpbppbxsxsspoop. What is prob of picking 1 o, 1 x, and 1 p? 12/323 Four letters picked without replacement from cgpzpppgzl. What is prob of picking 1 g and 3 p? 4/105 Four letters picked without replacement from ixxnsxhstsisttssttsx. What is prob of picking 2 s and 2 x? 42/1615 Calculate prob of picking 2 b when two letters picked without replacement from bbdb. 1/2 What is prob of picking 1 x and 1 k when two letters picked without replacement from {d: 1, y: 1, i: 1, k: 1, x: 2, r: 1}? 2/21 Calculate prob of picking 2 y and 2 d when four letters picked without replacement from dyyddodpdyoop. 6/143 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from vjvijiijjvjivjwjwf. 8/153 Two letters picked without replacement from {c: 4, o: 3, z: 1}. What is prob of picking 1 o and 1 c? 3/7 Three letters picked without replacement from {n: 1, j: 3, e: 1, v: 1, g: 1}. Give prob of picking 2 j and 1 g. 3/35 Four letters picked without replacement from llllzzl. Give prob of picking 1 z and 3 l. 4/7 What is prob of picking 2 c and 1 w when three letters picked without replacement from ccwccwwc? 15/28 What is prob of picking 2 l when two letters picked without replacement from lilljilllililljlllil? 39/95 Four letters picked without replacement from cjyyyfffffjcfff. Give prob of picking 1 y, 1 f, and 2 c. 8/455 What is prob of picking 1 l and 2 j when three letters picked without replacement from ljjjljjjjjjjlj? 165/364 What is prob of picking 1 s and 1 x when two letters picked without replacement from xsxxssxssxss? 35/66 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from kqbvqbbqvnq. 8/55 Two letters picked without replacement from zaasaasppp. What is prob of picking 2 s? 1/45 Two letters picked without replacement from oxmbbx. Give prob of picking 2 b. 1/15 Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, m: 1}. 1/2 Calculate prob of picking 4 f when four letters picked without replacement from fccfffffffffcfffffff. 28/57 Calculate prob of picking 3 r when three letters picked without replacement from {r: 15, x: 5}. 91/228 Two letters picked without replacement from {y: 3, v: 6, n: 1, b: 2}. What is prob of picking 2 n? 0 What is prob of picking 2 x when two letters picked without replacement from xnxnnnnnxnnnnxnnxn? 10/153 Calculate prob of picking 3 t when three letters picked without replacement from {t: 3, m: 1, l: 3}. 1/35 Calculate prob of picking 2 u and 1 o when three letters picked without replacement from ououuuoutooooottt. 2/17 Three letters picked without replacement from {d: 2, w: 5, r: 5}. What is prob of picking 2 r and 1 w? 5/22 Two letters picked without replacement from {j: 1, y: 2, p: 14, f: 2}. Give prob of picking 1 f and 1 j. 2/171 What is prob of picking 2 u when two letters picked without replacement from gugguggurgruu? 5/39 Calculate prob of picking 2 g when two letters picked without replacement from ggggjggj. 15/28 Four letters picked without replacement from rrrr. Give prob of picking 4 r. 1 Four letters picked without replacement from {o: 4, e: 2}. Give prob of picking 2 o and 2 e. 2/5 Calculate prob of picking 2 u and 2 f when four letters picked without replacement from uuuuffuuufuufu. 270/1001 Four letters picked without replacement from {a: 1, i: 6, z: 7}. Give prob of picking 4 i. 15/1001 Three letters picked without replacement from dnnndnnnnnnnndnnnn. What is prob of picking 3 n? 455/816 Calculate prob of picking 2 o when two letters picked without replacement from {i: 1, z: 1, o: 2, c: 1}. 1/10 Three letters picked without replacement from jjjjjsjjjjjjjjjjjjj. What is prob of picking 2 j and 1 s? 3/19 Two letters picked without replacement from ehehhcccleeec. What is prob of picking 1 l and 1 e? 5/78 Three letters picked without replacement from qdqedqqdeedqdeddqqqd. What is prob of picking 1 e and 2 d? 28/285 Four letters picked without replacement from jjqqjslsqljljjl. What is prob of picking 2 l, 1 s, and 1 j? 24/455 Two letters picked without replacement from fffhfhfhfhfh. Give prob of picking 2 f. 7/22 Four letters picked without replacement from {r: 4, c: 2}. What is prob of picking 1 c and 3 r? 8/15 Two letters picked without replacement from {g: 6, u: 11, t: 1, c: 1}. Give prob of picking 1 t and 1 u. 11/171 What is prob of picking 1 m and 3 e when four letters picked without replacement from eememeemmememeemeee? 385/969 Two letters picked without replacement from ssdsdssisisii. What is prob of picking 2 i? 1/13 Calculate prob of picking 1 a and 1 t when two letters picked without replacement from uuakete. 1/21 What is prob of picking 1 y and 1 t when two letters picked without replacement from wttyttw? 4/21 Four letters picked without replacement from {i: 2, r: 4, g: 8}. What is prob of picking 1 i and 3 r? 8/1001 What is prob of picking 1 h and 2 q when three letters picked without replacement from {t: 2, w: 1, q: 3, h: 1}? 3/35 What is prob of picking 2 k and 1 t when three letters picked without replacement from {p: 2, y: 4, t: 2, k: 4}? 3/55 Four letters picked without replacement from urubrubupuzbbzbz. Give prob of picking 1 z and 3 b. 3/182 Four letters picked without replacement from qqpqppqpqqqqqq. What is prob of picking 2 p and 2 q? 270/1001 Three letters picked without replacement from {u: 4, e: 1, n: 2, i: 2}. What is prob of picking 1 i, 1 u, and 1 e? 2/21 Calculate prob of picking 4 t when four letters picked without replacement from ototooooooootooootoo. 1/4845 Calculate prob of picking 4 v when four letters picked without replacement from {q: 10, v: 4}. 1/1001 Calculate prob of picking 1 w, 1 o, and 1 k when three letters picked without replacement from {c: 3, w: 5, o: 1, n: 5, k: 5}. 25/969 Four letters picked without replacement from {n: 6, w: 2}. Give prob of picking 4 n. 3/14 What is prob of picking 2 t when two letters picked without replacement from ppttpt? 1/5 Calculate prob of picking 1 i and 1 g when two letters picked without replacement from izig. 1/3 What is prob of picking 1 z and 3 r when four letters picked without replacement from {r: 10, i: 7, z: 1}? 2/51 Two letters picked without replacement from {m: 1, t: 1, y: 1, g: 1, c: 1}. What is prob of picking 1 t and 1 m? 1/10 Four letters picked without replacement from hass. Give prob of picking 4 h. 0 Two letters picked without replacement from hcccwchccccccc. Give prob of picking 2 h. 1/91 Calculate prob of picking 1 m and 1 g when two letters picked without replacement from uauaagaaamgaa. 1/39 Two letters picked without replacement from nulss. Give prob of picking 1 s and 1 u. 1/5 Two letters picked without replacement from ppnxxpxnxxp. Give prob of picking 1 x and 1 n. 2/11 Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {w: 1, k: 1, y: 1, r: 1, n: 1}. 1/10 Calculate prob of picking 3 e when three letters picked without replacement from zezzezzjjmjzjjzejz. 1/816 Calculate prob of picking 2 g and 1 a when three letters picked without replacement from {c: 7, a: 9, g: 2}. 3/272 Calculate prob of picking 1 b, 1 j, and 1 e when three letters picked without replacement from eeeejbnqnnxnxxebexnx. 1/95 Calculate prob of picking 2 e when two letters picked without replacement from aauuaeueuuaaauua. 1/120 What is prob of picking 1 n, 1 d, and 2 b when four letters picked without replacement from {z: 1, d: 14, b: 2, n: 2}? 7/969 Two letters picked without replacement from {z: 4, k: 4, n: 3}. Give prob of picking 1 k and 1 z. 16/55 Three letters picked without replacement from kzzctcctcs. Give prob of picking 1 t and 2 c. 1/10 Three letters picked without replacement from {d: 2, x: 2}. What is prob of picking 1 d and 2 x? 1/2 Two letters picked without replacement from {k: 7, u: 2, d: 1, r: 1, j: 6}. Give prob of picking 2 j. 15/136 What is prob of picking 2 z when two letters picked without replacement from zzzzzzfzzzzzzffzh? 39/68 Calculate prob of picking 2 z when two letters picked without replacement from zzzz. 1 Two letters pic
{ "pile_set_name": "DM Mathematics" }
9 = -k + s. Which is the fourth biggest value? (a) k (b) -0.5 (c) -2/9 (d) -0.2 b Let f = 408.9512 + -409. Let q = 3.0488 + f. What is the biggest value in q, 1.33, 4? 4 Let z be (-172)/(-217) - -4*54/(-252). Which is the fourth biggest value? (a) z (b) 0 (c) -1/2 (d) -4/3 (e) -1/6 c Let r = 247 + -56. Let w = 190 - r. Which is the second biggest value? (a) 8/3 (b) w (c) 0.3 c Suppose 3*t = -59*x + 64*x + 53, -5*x - 35 = 0. What is the biggest value in 0.5, -266, t, 1/3? t Let s be (-78)/(-52)*1264/(-63). Let g = 89/3 + s. Which is the fourth biggest value? (a) 1/2 (b) -4 (c) g (d) 3 b Let w = -901.6 + 678. Let m = 224 + w. What is the fourth smallest value in m, 10, -0.5, 0.5? 10 Let d = 453 + 219. Suppose 0 = -a + 5*a - d. Let z = -843/5 + a. What is the second biggest value in z, -2, -3? -2 Let n = 6994 + -6994. What is the biggest value in -12, -2/5, -16, n? n Let o = -850 + 240. Let m = o - -611. Let u = -0.07 + 5.07. What is the second smallest value in 19, m, u? u Suppose 0 = r + 5*k + 40, r = -k - 138 + 126. Which is the smallest value? (a) -3/11 (b) 0.46 (c) 3/2 (d) 5 (e) r e Let n = 5.232 - 0.432. Let k = -5.262 - -0.062. Let j = k + n. Which is the third smallest value? (a) -1 (b) j (c) -1/3 c Let q = 0.42 - 0.06. Let z = -0.06 + q. Let p = 1287 - 1286.8. Which is the biggest value? (a) z (b) p (c) -1 (d) 2 d Suppose -5*u = 15 - 40. Let g = -1.9195 - -1.6195. Which is the third biggest value? (a) g (b) u (c) 0.4 (d) 0.7 c Suppose 4*o + 232 = -4*i, 5*o + i = -143 - 135. Let l = o + 553/10. What is the fourth biggest value in 0.5, l, 0.2, 2? 0.2 Let f = 0.0231 - 0.0231. Let d(i) = -i**3 + 6*i**2 - 4*i - 1. Let z be d(5). What is the second smallest value in -14, f, -2/5, z? -2/5 Let k = 0.05 - 0.04. Let j = k - 0.03. Let h = 1040.2 + -1044.2. What is the smallest value in j, h, 2? h Let j be (-12)/((-60)/(-35)) - (-10)/2. Let r be (j/(-21))/((-10)/(-45)). Let n = -3.1 + 3. What is the smallest value in 3, r, n, -0.2? -0.2 Let x(w) = -3*w. Let m be x(-1). Let d = 27496 - 27495. What is the biggest value in m, -11, d? m Let d = -6.383 - -6.183. What is the third smallest value in d, 3.17, 0.1? 3.17 Suppose -425 - 925 = -3*o. Let r = -445 + o. What is the smallest value in 2/3, -3.5, r? -3.5 Let j be (-14)/(-49) + (3 - (-162)/(-28)). Suppose -4*p + 35 = -16*i + 11*i, 5*i - 5 = -4*p. Which is the second biggest value? (a) i (b) j (c) 10 (d) 1 d Let k be (-6)/(-8)*(-1260)/2835. Let h = 11 + -10. What is the biggest value in -0.18, k, h? h Let c = -88.6107 - -0.0107. Let w = c + 84.6. What is the biggest value in 60/13, 2/17, w? 60/13 Let z = -4981.3 - -4609. Let u = z - -373. Which is the second biggest value? (a) -3 (b) 1/4 (c) u b Let f be 16/(-3)*22515/(-96064). Let o = -101 - -53. Let c be 1/(-4) + (-44)/o. What is the biggest value in f, -16, c, -4? f Let f be (-336)/630*25/60. What is the third smallest value in -5, 1/2, f? 1/2 Let s = 18222 - 18227. Let v = -4 - -41. Which is the third biggest value? (a) 1/5 (b) v (c) s c Suppose 9*a = 26*a + 884. Let y = 0.14 + -0.24. What is the second smallest value in -2, y, 5, a? -2 Let l = 5473 + -5474. Let o = -0.3 + 0.4. Let r = -181/5 - -36. Which is the biggest value? (a) r (b) l (c) o c Let r = -24/13 + 131/78. Let k = -1.01694 - -0.01694. What is the biggest value in k, r, 3, 2? 3 Let s = -1332 - -863. Let x = 468 + s. Which is the third biggest value? (a) 1/8 (b) -0.2 (c) -0.012 (d) x b Suppose 5*j - 9 = 1, -4*j = -3*s + 1. Suppose -3*z + s = 4*c + 34, -3*c - 4*z - 32 = 0. Let l be -5 + 9 + c - 1. What is the third biggest value in l, -4, 5/2? -4 Let o = -2417.2 + 2417. Which is the second smallest value? (a) o (b) 5 (c) 2 (d) -5 (e) 10 a Let w = -171.9 + 169.9. Which is the second biggest value? (a) -3/5 (b) 4 (c) w (d) -0.5 d Let z = -780.5 + 779.496. Which is the second biggest value? (a) z (b) -3 (c) 0 (d) -5 a Let p = -94989 + 94990. Let g = -49 + 46.3. Let l = g - 0.3. What is the second smallest value in p, 0, l? 0 Let l = 788.51 - 782. Let k = l - 6.51. What is the biggest value in -0.2, 0.3, k, -5? 0.3 Let m = -13.78 - -4.34. Let d = -1.44 - m. What is the second smallest value in d, -3, 2? 2 Let j be -4 - (-310)/35 - 5. Let n be (-3)/6 + (-5 - ((-3159)/(-42))/(-13)). Which is the smallest value? (a) j (b) -0.1 (c) n (d) -20 d Let j = -769 - -767.7. Which is the third smallest value? (a) -0.3 (b) -1/6 (c) j (d) 33 b Let m = 17347.5 - 17347. Let h = 0 - -0.1. Which is the third biggest value? (a) h (b) m (c) 1/17 c Let j = -2.247 + 4.247. Let k be -2*15*3/18. Which is the second biggest value? (a) -0.12 (b) j (c) k a Let d = 23433 - 23436. What is the third smallest value in -1, d, 49? 49 Let o = -908.23 - -908.2. Which is the second biggest value? (a) 1/5 (b) 0.01 (c) o (d) 0.06 (e) 0.3 a Let v be 24/(-126) - 15/(106 - 1). Which is the fourth biggest value? (a) -4 (b) 4/415 (c) v (d) -0.2 a Let d = -1558 - -1081. Let y = 492 + d. What is the second smallest value in 1, -3, 0.3, y? 0.3 Let y(m) = 4*m - 5. Let r be y(3). Let h = 966 - 3867/4. Which is the second biggest value? (a) r (b) h (c) -0.2 c Let f = -117.96 - -118.66. Which is the biggest value? (a) f (b) 77 (c) -3 b Let h = 171.1 + -162. Let g = h + -6.1. Suppose -2*u - 14 = -4. Which is the smallest value? (a) u (b) g (c) 0 a Let v = -7568 + 22709/3. Suppose -3 = d - r, 12 = -2*d + 3*r + r. Which is the third biggest value? (a) v (b) 27/2 (c) d c Let m = -93748.0391 + 93744. Let g = m - -0.0391. What is the smallest value in 0.4, g, 2/11? g Let u = -4.5 + 4. Let z = -17 - -24. Suppose z*g + 13 + 8 = 0. What is the smallest value in g, u, 5? g Let x = 61.5 + -61. Let r = 22/7 - 81/28. Suppose -20*w = -31*w - 55. What is the fourth smallest value in 0.1, w, x, r? x Let p = 4629 - 4626. Which is the fifth smallest value? (a) -25/4 (b) 5/2 (c) -2/7 (d) -0.02 (e) p e Let n = 1289.6 - 1290. What is the biggest value in -3, n, -133? n Let m = 3.3 - 3.72. Let z = -5.05 + -0.37. Let u = m - z. Which is the third biggest value? (a) 0.4 (b) u (c) 1 (d) 3/4 d Let i = 0.9477 - -0.0523. Let x = -0.13 + 4.13. What is the second biggest value in x, i, 6? x Suppose -78 - 71 = 129*p - 20. Which is the second smallest value? (a) -0.5 (b) -0.4 (c) p (d) -2.7 c Let g(c) = -2*c + 94. Let p be g(23). Let z = 9 + -21/2. What is the biggest value in z, -1/4, p? p Let l = 20237 + -20237. Let s = -0.1 + 0.4. What is the second biggest value in s, 4/9, l, -0.4? s Let k = 92.9 - 93. Let i(r) = 3*r - 11*r**2 + 3 + 12*r**2 + 3. Let p be i(-2). What is the second biggest value in p, k, -19? k Let s = 462580 - 462580. Let a be 0 + 2*-1 + -16. What is the second smallest value in -2, s, a? -2 Let t = 49.7 - 86.7. Let p = t + 36.8. What is the third smallest value in p, 32, 0.2, 0? 0.2 Let h = -9139 + 9138. Which is the fourth smallest value? (a) 2 (b) -17/8 (c) h (d) -1/7 (e) -0.1 e Suppose -2430 = 297*o - 303*o. Let z = -809/2 + o. What is the third smallest value in 35, -2, z, -4/3? z Let g = 3722 + -4006. Which is the second biggest value? (a) -3 (b) -2 (c) g a Let v be (-5)/((-20)/128) + -2 - -3. Suppose 35*i = v*i - 14. Let g(a) = -a**2 - 8*a - 6. Let f be g(i). What is the third biggest value in 0.2, f, 0.11, -1? 0.11 Let t = -0.829 - -1.029. What is the third biggest value in t, 25, 3/8? t Let s = -0.04 - 2. Let z = 5.04 + s. What is the smallest value in -4/7, z, 4? -4/7 Suppose 9 = -5*j + 2*i + 32, -j = -4*i - 1. Which is the third biggest value? (a) 0.01 (b) -2 (c) j b Let g = 5.685 + -5.185. Let v = 159/215 - 6/43. Which is the second smallest value? (a) 1/7 (b) -2 (c) g (d) v a Let o = 706 - 690. Let i be -6*(5 + -19*4/o). What is the second biggest value in i, 1/5, 15/4? 1/5 Suppose 2*m + 14*v = 9*v - 69, -2*m = -4*v + 24. Let f be (-8)/m*(15 - 4). What is the smallest value in 7, -7/2, f? -7/2 Let u(j) = j**3 - 2*j**2 + 4*j + 5. Let s be u(-2). Let z = -4 - s. Let d be -6*(-10)/z - 93/21. Which is the biggest value? (a) -3/4 (b) -2/23 (c) d b Let q = -356.7 + 348. Let v = q - -8.89. Which is the second biggest value? (a) -4 (b) v (c) -3 c Let x = -0.127 + 12.327. Let z = -17.9 + 8.7. Let k = z + x. Which i
{ "pile_set_name": "DM Mathematics" }
*o**(1/8)) assuming o is positive. o**(-217/8) Simplify (s/(s**(5/2)/s)*s/s**4*s)/((s/((s/(s*s**(-5)/s))/s))/(s**(-3)*s))*(s*s**0/s)**(-6/11)/(s**(2/13)*s/((s**1/s)/s*s)) assuming s is positive. s**(-43/26) Simplify ((f/f**36)**(-28)*(f**(5/6))**24)**(-35) assuming f is positive. f**(-35000) Simplify ((((z*z**(8/5))/z)/z)**(-8)/(z**(-12)*z)**(-6/17))**(-22) assuming z is positive. z**(16236/85) Simplify (u/(u/(u/(u**(-3/11)/u)))*u*((u*u*u/(u**(-3)*u))/u)/u*u*u)/((u*u/((u/(u*(u**(-48)/u)/u))/u))/u**(-11)) assuming u is positive. u**(487/11) Simplify (((h**(-4)*h)/(h/h**(-2/3)*h))/(h**(-2/3)*h**(1/5)*h))/(h**(-3/5)/h**(1/2))**(-14/5) assuming h is positive. h**(-232/25) Simplify (((m*m*m/(m*m**(1/2))*m*m/(m/(m*m**(-26)*m)))**7)**(-39))**(6/17) assuming m is positive. m**(35217/17) Simplify (g**(-2))**(9/5)/(g**(-1/4))**(1/20)*(g/g**(-4)*g**(-1/8))/(((g*g**4)/g*g)/g*g/(g*(g*g*(g*g**(-1/3)*g)/g*g)/g*g*g)) assuming g is positive. g**(469/240) Simplify (n**(-7)/(n*n/n**(1/4)*n*n*n))**(6/19)*((n/n**6)/n)/(n/(n/n**(-1/7)))*n**(-1/3)*n**(-6)/n assuming n is positive. n**(-13487/798) Simplify ((r**18*r)/r*(r**(-1/13)*r)/r*(r*r/((r*r**(8/7)*r)/r*r))/(r/r**(2/27)))**(-2/11) assuming r is positive. r**(-77908/27027) Simplify (o**(-3/2)*o*o**(-1))**(-7)/((o*o/(o/((o**(2/11)*o)/o)))/o**(2/15)*o**(1/14)*o*o**(-1)) assuming o is positive. o**(10834/1155) Simplify (k**(2/13)/(k/k**(-5)*k)*(k**(-1))**(-16))/(((k**(1/4)/k)/k)**(-6))**(-13/4) assuming k is positive. k**(4501/104) Simplify ((j**(2/3))**(-1/4))**(17/2)*((j*j**(-2))**(-12/11))**(-4/5) assuming j is positive. j**(-1511/660) Simplify (i**(-10)/((i*i**11)/i*i))**40/(i**0/((i/i**(2/5))/i*i))**(6/13) assuming i is positive. i**(-57182/65) Simplify ((((u/(u/u**(1/3))*u)/u*u)/(u*u*u/(u*(u/(u*(u**(3/5)*u)/u))/u)))/(u**(2/21)*u**(-7)*u*u))**14 assuming u is positive. u**(554/15) Simplify (((h**6*((((h**(-1/12)/h)/h)/h)/h)/h)**20)**(-1/53))**(-9/2) assuming h is positive. h**(165/106) Simplify q**5*q*q/q**(-2/11)*(q**(-2/5)*q*q)**(-28)*(q**0*q*q/q**(-10))**(-25) assuming q is positive. q**(-18569/55) Simplify ((x**(-2))**(2/31))**(4/5)/(x**(2/5)/x**(-6))**39 assuming x is positive. x**(-38704/155) Simplify (u/(u**(-1)/u))**(-2/55)/(u**(-1))**(1/31)*(u/(u*u*u*u**0)*u)**(1/19)*u/u**(1/4)*u**(1/2) assuming u is positive. u**(145199/129580) Simplify ((y*y**3*y)**(-28))**21*((y**(2/37)/y)/(y/((y**(-5)/y)/y)))**27 assuming y is positive. y**(-117717/37) Simplify ((u**(1/6))**42)**(22/9)*u**(-1/2)/(u/(u/u**3))*(((u/(u*u**(-3)))/u)/u)/(u**(-6)/u) assuming u is positive. u**(389/18) Simplify (l**(-39))**26*(l**(-21))**(-1/2) assuming l is positive. l**(-2007/2) Simplify (c**(-1)*c/c**7)**(-1/49)/((c**(-2))**(-7/5))**(2/53) assuming c is positive. c**(69/1855) Simplify ((y*y/((y/(y*y**(-2)*y)*y*y)/y)*y*y)/y**7)**(-2/31)/((y**(-2/5))**(-1/33))**(-2/155) assuming y is positive. y**(8254/25575) Simplify (g**(4/9)*(g**(-1/2)*g)/g)**(-2/11)*((g/(g**(1/4)*g))**(-37))**29 assuming g is positive. g**(106231/396) Simplify (((l**(-1/3)/l)/l)/(l*l**(-2/7)))**(-5/11)*((l*l**(-5)*l)/l)/(l*l**1)*l**(-3/2)*l*l**2/l assuming l is positive. l**(-1901/462) Simplify ((((b*b*b*b*b**(-5/4)*b*b*b)/b*b)/b*b**(4/15))/(b*b*(b**(2/3)/b)/b*b*b*b**2*b))**25 assuming b is positive. b**(-65/4) Simplify (o/o**36)**(2/3)*(o/o**(-38))**(8/9) assuming o is positive. o**(34/3) Simplify ((a*a**(2/31)*a*a**(-3/13)*(a/a**(-7/3))/(a/(a/(((a/a**(-12)*a)/a)/a*a*a))))**(3/16))**(-20) assuming a is positive. a**(53395/1612) Simplify ((o/(o*o*o**(1/10)*o))/((o/(o*o*o**(-5)))/o*o))**(-2/123)*(o**(-1/3))**37*o/((o/(o**4*o*o))/o)*o**(-5/6) assuming o is positive. o**(-7463/1230) Simplify ((((((b/b**(-2/7))/b)/b)/b)**20)**41)**(-2/47) assuming b is positive. b**(19680/329) Simplify ((b/(b*b**(-5/4)/b*b)*b**(-4))/(b**(2/11)/(b**(-2/9)*b)))/((((b**2/b)/b)/((b*b**(-2/13))/b))/(b**(1/2))**(7/5)) assuming b is positive. b**(-41387/25740) Simplify (x*x*x*x*x**(-2/7)/x*x)**(2/9)*x**(-4)*x**(-9)*x*((x/(x/(x*x*x**(-3/5)*x)))**(2/5))**(-1/55) assuming x is positive. x**(-969512/86625) Simplify (((g**5/(g/g**(-1/2)))/(g**(2/5)*g)**14)**21)**(1/2) assuming g is positive. g**(-3381/20) Simplify (t**(-2/9)/(t/(t*((((t*t**(-6)*t*t)/t)/t)/t)/t)))**34*((t**(-2)*t*t)**(-32))**4 assuming t is positive. t**(-2210/9) Simplify ((s**(-1/5))**41*s*s/(s/s**(-1/27))*s**10*s)**(1/3) assuming s is positive. s**(508/405) Simplify (((w**(-9)*w)/w**0)/((w/(w*w**(-2)))/((w**5/w)/w)))**(-1/26) assuming w is positive. w**(7/26) Simplify ((((s**8/s)/s*(s**(-1)/s)/s)**(-1/45))**(-4/23))**(-24/11) assuming s is positive. s**(-32/1265) Simplify (((u*u*u*u/u**(-2)*u)/u)**(2/5)*u**(-7)/((u**(3/7)*u*u)/u))**(-49) assuming u is positive. u**(1477/5) Simplify (((s/((s**(-13)/s)/s))/s)**(-3/23)*(s/s**(-1))**44)**(-2/39) assuming s is positive. s**(-3958/897) Simplify (f*f**2)**(1/28)*(f**(-1))**(-29)*((((f/(f/((f**(-1/2)/f)/f)))/f)/f)/f**(-5))/(f**(-1/8)/(f**(-1)/f*f)) assuming f is positive. f**(1609/56) Simplify (((j*j*j**(-2/5)/j)/j)/j**(-2/11))**(-8)/(j**(-7)*j**(-7))**(-1/4) assuming j is positive. j**(-193/110) Simplify ((y*y**(-3/7))**40/(y*y**(-2/9))**15)**(-3/16) assuming y is positive. y**(-235/112) Simplify (h/(h/h**(-2)))**(-1)*h**2/((h**(1/11)*h)/h)*(h**(-8)/h**(-2/13))**(3/34) assuming h is positive. h**(460/143) Simplify y**(1/5)/(y*y**(-2/5))*(y**(-2/9)/y*y)/y**(2/7)*(y*y**4*y)/y**(-3)*y**2*y*y**7 assuming y is positive. y**(5699/315) Simplify x*x**(-1/7)*x*x/(x*x/x**(-3))*(x*x**(-2/3))**(-5/7)*(x**(2/9)*x*x*x/x**(-1)*x)/(x**(2/17)/x**(-4/9)) assuming x is positive. x**(2441/1071) Simplify j/(j*j*j/(j/j**(-3/7))*j)*j**27*(j**(1/23))**45 assuming j is positive. j**(4409/161) Simplify (((a**0)**(-20)*a**(1/3)/a**4)**49)**(3/7) assuming a is positive. a**(-77) Simplify ((w/w**(-1)*w)**(2/5)*(w**0*w)**(-1/61))/(w**(-5)/(w**(-2)/w))**(-11) assuming w is positive. w**(-6349/305) Simplify ((g**(-2))**(-25)/(g**(8/3)*(g**6/g*g*g*g)/g))**50 assuming g is positive. g**(6050/3) Simplify ((g**(-1/3)/g)**(-28)/(g**(2/7))**44)/((g*g*g/((g/(g/(g*(g*g**0)/g)))/g)*g)**41/(g**(3/2)/g*g*g*g*g/g**(-4))) assuming g is positive. g**(-5491/42) Simplify ((u**(-5)/u**23)/(u**(1/3)*u)**(-2/3))**(-1/22) assuming u is positive. u**(122/99) Simplify ((c*c**(3/2)/c*c**(1/23))/(c/(c**(-14)*c)*c/(c**26*c)*c))**(2/11) assuming c is positive. c**(577/253) Simplify ((y*y**(-2/11))**(-2/7))**7/((y**(4/5))**(-27))**36 assuming y is positive. y**(42678/55) Simplify ((x/x**(-3))**(36/11)*(x/x**(-3/7))/(x/(x/((x/(x/(((x**11*x)/x)/x)))/x))))**(6/13) assuming x is positive. x**(2550/1001) Simplify ((a/a**0*a)**(4/7))**(-13)*(a**(-9)*a**(5/2))**25 assuming a is positive. a**(-2483/14) Simplify (((z*z**(2/3))/((z**(2/5)*z)/z))/((z*z**0)/(z*z**(-3/8))))/((z**(1/4))**(-13/3)/(z**1/z*z/(z*z*z**(-6)))) assuming z is positive. z**(279/40) Simplify ((d**(-13)*d*d/d**(-3/2)*d)/(d/d**4*(d/(d**4/d))/d))**(2/63) assuming d is positive. d**(-5/63) Simplify ((k**(-1/12)*k)/((k*k**15)/k)*((k**(3/8)/k)/k)**(-2))**32 assuming k is positive. k**(-1040/3) Simplify (w**6*w**(2/33)*(w*w/w**(1/6)*w)**(2/21))**(-3/11) assuming w is positive. w**(-4387/2541) Simplify ((((j/(j/j**(-7/3)))/((j*j/j**(-3))/j))**(2/21))**(-6/13))**(-13) assuming j is positive. j**(-76/21) Simplify ((v**(-2/11)/v**(-30))**(-2/11))**(1/13) assuming v is positive. v**(-656/1573) Simplify ((((i*(i/(i**(-2/129)*i))/i)**(-2/13))**(-6/11))**(-48))**10 assuming i is positive. i**(-3840/6149) Simplify ((k**(-1/2))**29)**10/((k*k*k**(-1/4)*k*k)**(23/2)*((((k*k/k**(1/3))/k*k)/k*k)/k)**(2/91)) assuming k is positive. k**(-410897/2184) Simplify ((b*b/b**(-2/15))**(2/3)/((b**(-17)/b)/b*b**(1/14)))**(-12) assuming b is positive. b**(-25642/105) Simplify ((((l/((l*l**(-4/9))/l))/l)/l)/l**(1/10))**(-14)*(l**(-1/2))**32/(l/l**2)**(-12) assuming l is positive. l**(-847/45) Simplify (((t**(1/4))**(-42)*(t**(-1/5)/t)**(-14/5))**(-17/2))**12 assuming t is positive. t**(18207/25) Simplify (((s/(s/s**4))/s**(3/2))/(s**(-2)*s*s*s**(-2/5)))**(19/6) assuming s is positive. s**(551/60) Simplify (((b*b**(1/4))/b)/b*b*((b/b**(-4)*b)/b)/b)**5/((b/b**(1/3))/b*b**(-3/2))**(-3/8) assuming b is positive. b**(329/16) Simplify (((r*(r*(r/(r**7/r))/r*r)/r)/(r*r**4))/(r**0*r*r*r/((r*r**(2/17)/r)/r)))/((((r/(r*r**(
{ "pile_set_name": "DM Mathematics" }
nearest integer? 211 What is the fourth root of 16686251 to the nearest integer? 64 What is the tenth root of 674345 to the nearest integer? 4 What is the cube root of 221048 to the nearest integer? 60 What is the square root of 10772 to the nearest integer? 104 What is the fourth root of 1502082 to the nearest integer? 35 What is the fifth root of 4287866 to the nearest integer? 21 What is the third root of 552610 to the nearest integer? 82 What is the cube root of 2066927 to the nearest integer? 127 What is 255259 to the power of 1/7, to the nearest integer? 6 What is 2170170 to the power of 1/3, to the nearest integer? 129 What is 199454 to the power of 1/5, to the nearest integer? 11 What is 3166539 to the power of 1/4, to the nearest integer? 42 What is the square root of 1210675 to the nearest integer? 1100 What is the third root of 239105 to the nearest integer? 62 What is the square root of 48957 to the nearest integer? 221 What is 5063647 to the power of 1/2, to the nearest integer? 2250 What is 4156402 to the power of 1/2, to the nearest integer? 2039 What is 956041 to the power of 1/4, to the nearest integer? 31 What is the cube root of 4305326 to the nearest integer? 163 What is the cube root of 655035 to the nearest integer? 87 What is 3603815 to the power of 1/3, to the nearest integer? 153 What is the cube root of 18602 to the nearest integer? 26 What is the tenth root of 34822 to the nearest integer? 3 What is the square root of 1848685 to the nearest integer? 1360 What is the cube root of 458555 to the nearest integer? 77 What is the fifth root of 126816 to the nearest integer? 10 What is 1751286 to the power of 1/6, to the nearest integer? 11 What is the third root of 1518943 to the nearest integer? 115 What is the third root of 779029 to the nearest integer? 92 What is the cube root of 33800 to the nearest integer? 32 What is 1653588 to the power of 1/3, to the nearest integer? 118 What is 22070676 to the power of 1/8, to the nearest integer? 8 What is the square root of 758789 to the nearest integer? 871 What is 4696975 to the power of 1/10, to the nearest integer? 5 What is 59820 to the power of 1/8, to the nearest integer? 4 What is 2643194 to the power of 1/9, to the nearest integer? 5 What is the cube root of 43448542 to the nearest integer? 352 What is 1713548 to the power of 1/7, to the nearest integer? 8 What is the cube root of 774281 to the nearest integer? 92 What is the seventh root of 1352542 to the nearest integer? 8 What is the third root of 17762610 to the nearest integer? 261 What is the fifth root of 99552 to the nearest integer? 10 What is 226435 to the power of 1/2, to the nearest integer? 476 What is the third root of 10773761 to the nearest integer? 221 What is 5558636 to the power of 1/9, to the nearest integer? 6 What is the third root of 325282 to the nearest integer? 69 What is 4928510 to the power of 1/6, to the nearest integer? 13 What is 809197 to the power of 1/8, to the nearest integer? 5 What is 209076 to the power of 1/9, to the nearest integer? 4 What is 35786 to the power of 1/8, to the nearest integer? 4 What is the square root of 322586 to the nearest integer? 568 What is the seventh root of 4988824 to the nearest integer? 9 What is the cube root of 1744 to the nearest integer? 12 What is the square root of 136849 to the nearest integer? 370 What is the cube root of 3763292 to the nearest integer? 156 What is the third root of 5385944 to the nearest integer? 175 What is the square root of 799764 to the nearest integer? 894 What is 1465227 to the power of 1/2, to the nearest integer? 1210 What is 11173887 to the power of 1/2, to the nearest integer? 3343 What is the cube root of 2659994 to the nearest integer? 139 What is the third root of 965551 to the nearest integer? 99 What is the third root of 7283540 to the nearest integer? 194 What is 6990403 to the power of 1/2, to the nearest integer? 2644 What is 446064 to the power of 1/8, to the nearest integer? 5 What is the eighth root of 1633912 to the nearest integer? 6 What is 9496 to the power of 1/4, to the nearest integer? 10 What is 22806498 to the power of 1/2, to the nearest integer? 4776 What is 12956838 to the power of 1/3, to the nearest integer? 235 What is 18400651 to the power of 1/7, to the nearest integer? 11 What is 345644 to the power of 1/3, to the nearest integer? 70 What is the square root of 22944237 to the nearest integer? 4790 What is the ninth root of 16125448 to the nearest integer? 6 What is the square root of 1870151 to the nearest integer? 1368 What is the third root of 7245631 to the nearest integer? 194 What is 1310537 to the power of 1/5, to the nearest integer? 17 What is 7386912 to the power of 1/7, to the nearest integer? 10 What is the cube root of 2633848 to the nearest integer? 138 What is 7250363 to the power of 1/9, to the nearest integer? 6 What is 1012161 to the power of 1/3, to the nearest integer? 100 What is the cube root of 15327933 to the nearest integer? 248 What is the eighth root of 183483 to the nearest integer? 5 What is 865709 to the power of 1/4, to the nearest integer? 31 What is 674195 to the power of 1/2, to the nearest integer? 821 What is 5057382 to the power of 1/7, to the nearest integer? 9 What is the square root of 216280 to the nearest integer? 465 What is 612343 to the power of 1/4, to the nearest integer? 28 What is the square root of 550781 to the nearest integer? 742 What is 3119778 to the power of 1/2, to the nearest integer? 1766 What is the square root of 3306149 to the nearest integer? 1818 What is the third root of 10862941 to the nearest integer? 221 What is the cube root of 6694840 to the nearest integer? 188 What is 522257 to the power of 1/8, to the nearest integer? 5 What is the third root of 42381 to the nearest integer? 35 What is the seventh root of 155938 to the nearest integer? 6 What is 128817 to the power of 1/8, to the nearest integer? 4 What is 1645974 to the power of 1/7, to the nearest integer? 8 What is the square root of 97325 to the nearest integer? 312 What is the tenth root of 76089 to the nearest integer? 3 What is the third root of 4321419 to the nearest integer? 163 What is the cube root of 2019036 to the nearest integer? 126 What is 10542771 to the power of 1/4, to the nearest integer? 57 What is 204068 to the power of 1/7, to the nearest integer? 6 What is the ninth root of 512866 to the nearest integer? 4 What is 622850 to the power of 1/3, to the nearest integer? 85 What is 1918713 to the power of 1/2, to the nearest integer? 1385 What is 93104 to the power of 1/2, to the nearest integer? 305 What is 896406 to the power of 1/7, to the nearest integer? 7 What is the third root of 98977 to the nearest integer? 46 What is 997750 to the power of 1/2, to the nearest integer? 999 What is the square root of 73512 to the nearest integer? 271 What is 1970941 to the power of 1/8, to the nearest integer? 6 What is the tenth root of 398713 to the nearest integer? 4 What is the ninth root of 3486462 to the nearest integer? 5 What is the square root of 429114 to the nearest integer? 655 What is 19116068 to the power of 1/4, to the nearest integer? 66 What is the fifth root of 21945807 to the nearest integer? 29 What is the cube root of 1419042 to the nearest integer? 112 What is 7066954 to the power of 1/2, to the nearest integer? 2658 What is 12634 to the power of 1/3, to the nearest integer? 23 What is 573540 to the power of 1/8, to the nearest integer? 5 What is 1971728 to the power of 1/3, to the nearest integer? 125 What is the square root of 510554 to the nearest integer? 715 What is 2416624 to the power of 1/9, to the nearest integer? 5 What is 171084 to the power of 1/3, to the nearest integer? 56 What is 2622726 to the power of 1/4, to the nearest integer? 40 What is the square root of 267900 to the nearest integer? 518 What is 6905088 to the power of 1/3, to the nearest integer? 190 What is 250243 to the power of 1/3, to the nearest integer? 63 What is the cube root of 5544872 to the nearest integer? 177 What is 14393972 to the power of 1/2, to the nearest integer? 3794 What is 1768690 to the power of 1/3, to the nearest integer? 121 What is
{ "pile_set_name": "DM Mathematics" }
divided by 3602. 25 Calculate the remainder when 6677 is divided by 109. 28 Calculate the remainder when 49924 is divided by 70. 14 Calculate the remainder when 9166 is divided by 72. 22 Calculate the remainder when 68798 is divided by 99. 92 Calculate the remainder when 63107 is divided by 21034. 5 Calculate the remainder when 15551 is divided by 117. 107 What is the remainder when 1541 is divided by 212? 57 Calculate the remainder when 17747 is divided by 97. 93 Calculate the remainder when 1604555 is divided by 537. 536 Calculate the remainder when 883 is divided by 42. 1 Calculate the remainder when 6895 is divided by 87. 22 What is the remainder when 10036 is divided by 150? 136 Calculate the remainder when 73893 is divided by 118. 25 Calculate the remainder when 5392 is divided by 90. 82 Calculate the remainder when 4850 is divided by 1. 0 Calculate the remainder when 13812 is divided by 48. 36 Calculate the remainder when 5674 is divided by 405. 4 Calculate the remainder when 65623 is divided by 1193. 8 Calculate the remainder when 9843 is divided by 105. 78 Calculate the remainder when 1618533 is divided by 38. 37 What is the remainder when 5897 is divided by 455? 437 Calculate the remainder when 22683 is divided by 406. 353 What is the remainder when 257093 is divided by 5470? 3 Calculate the remainder when 12522 is divided by 3128. 10 Calculate the remainder when 16644 is divided by 2774. 0 What is the remainder when 354306 is divided by 1322? 10 Calculate the remainder when 381629 is divided by 134. 131 Calculate the remainder when 1197 is divided by 382. 51 Calculate the remainder when 53251 is divided by 17744. 19 What is the remainder when 2741 is divided by 15? 11 Calculate the remainder when 18951 is divided by 261. 159 Calculate the remainder when 210693 is divided by 490. 483 Calculate the remainder when 227498 is divided by 18. 14 What is the remainder when 5072 is divided by 1262? 24 What is the remainder when 2838429 is divided by 23? 22 Calculate the remainder when 6893743 is divided by 1012. 1011 Calculate the remainder when 63877 is divided by 378. 373 What is the remainder when 15671 is divided by 35? 26 Calculate the remainder when 1460228 is divided by 7936. 4 Calculate the remainder when 4365 is divided by 2173. 19 What is the remainder when 4976 is divided by 9? 8 What is the remainder when 10183 is divided by 1392? 439 Calculate the remainder when 5641 is divided by 167. 130 Calculate the remainder when 611120 is divided by 254. 250 What is the remainder when 62335 is divided by 1272? 7 What is the remainder when 11251 is divided by 777? 373 Calculate the remainder when 140490 is divided by 3512. 10 What is the remainder when 1904 is divided by 179? 114 What is the remainder when 28907 is divided by 8? 3 Calculate the remainder when 11699369 is divided by 270. 269 Calculate the remainder when 342415 is divided by 3. 1 What is the remainder when 20795 is divided by 104? 99 Calculate the remainder when 1557 is divided by 656. 245 What is the remainder when 5645 is divided by 2406? 833 What is the remainder when 9708 is divided by 1508? 660 Calculate the remainder when 6658 is divided by 220. 58 Calculate the remainder when 3804 is divided by 382. 366 Calculate the remainder when 8503 is divided by 8. 7 What is the remainder when 1614 is divided by 119? 67 What is the remainder when 118949 is divided by 351? 311 Calculate the remainder when 286898 is divided by 16876. 6 What is the remainder when 8178 is divided by 220? 38 Calculate the remainder when 1662865 is divided by 34. 27 Calculate the remainder when 181720 is divided by 2596. 0 What is the remainder when 6880 is divided by 6533? 347 Calculate the remainder when 4528 is divided by 371. 76 What is the remainder when 4011 is divided by 569? 28 What is the remainder when 2916 is divided by 266? 256 Calculate the remainder when 67229 is divided by 1372. 1 What is the remainder when 144494 is divided by 170? 164 What is the remainder when 9725 is divided by 930? 425 Calculate the remainder when 306329 is divided by 306317. 12 What is the remainder when 4712 is divided by 2320? 72 Calculate the remainder when 47633 is divided by 991. 65 What is the remainder when 1652 is divided by 542? 26 What is the remainder when 455 is divided by 154? 147 What is the remainder when 27578 is divided by 998? 632 Calculate the remainder when 17803 is divided by 524. 511 Calculate the remainder when 63050 is divided by 474. 8 Calculate the remainder when 33437 is divided by 304. 301 Calculate the remainder when 143801 is divided by 314. 303 What is the remainder when 29957 is divided by 11? 4 What is the remainder when 211766 is divided by 1103? 1093 Calculate the remainder when 14715 is divided by 80. 75 Calculate the remainder when 64555 is divided by 9. 7 Calculate the remainder when 18611 is divided by 133. 124 Calculate the remainder when 2230 is divided by 36. 34 What is the remainder when 12072 is divided by 208? 8 What is the remainder when 96998 is divided by 20? 18 Calculate the remainder when 1140826 is divided by 103. 101 What is the remainder when 2784 is divided by 311? 296 What is the remainder when 18231 is divided by 114? 105 Calculate the remainder when 515 is divided by 57. 2 What is the remainder when 13715 is divided by 19? 16 What is the remainder when 8541 is divided by 9? 0 Calculate the remainder when 39729 is divided by 2480. 49 What is the remainder when 38530 is divided by 247? 245 What is the remainder when 81477 is divided by 59? 57 Calculate the remainder when 1580 is divided by 62. 30 Calculate the remainder when 2581 is divided by 124. 101 What is the remainder when 352632 is divided by 22? 16 What is the remainder when 15745 is divided by 2830? 1595 Calculate the remainder when 26755 is divided by 3783. 274 What is the remainder when 46 is divided by 3? 1 Calculate the remainder when 9038 is divided by 1341. 992 Calculate the remainder when 34675 is divided by 170. 165 Calculate the remainder when 1975434 is divided by 309. 306 Calculate the remainder when 197172 is divided by 65698. 78 What is the remainder when 3738286 is divided by 228? 226 What is the remainder when 40180 is divided by 9955? 360 What is the remainder when 5065 is divided by 1206? 241 What is the remainder when 115 is divided by 14? 3 What is the remainder when 462531 is divided by 607? 604 What is the remainder when 120735 is divided by 176? 175 Calculate the remainder when 56921 is divided by 99. 95 Calculate the remainder when 18111 is divided by 3622. 1 Calculate the remainder when 1350 is divided by 297. 162 Calculate the remainder when 30974 is divided by 553. 6 What is the remainder when 1100 is divided by 494? 112 What is the remainder when 6499 is divided by 23? 13 Calculate the remainder when 422178 is divided by 22. 20 What is the remainder when 2088 is divided by 348? 0 What is the remainder when 44895 is divided by 184? 183 Calculate the remainder when 13580 is divided by 1. 0 Calculate the remainder when 834722 is divided by 5. 2 What is the remainder when 117037 is divided by 39009? 10 Calculate the remainder when 22228 is divided by 183. 85 What is the remainder when 6538 is divided by 104? 90 Calculate the remainder when 3206 is divided by 47. 10 What is the remainder when 947012 is divided by 82? 76 What is the remainder when 369 is divided by 70? 19 What is the remainder when 70985 is divided by 23650? 35 What is the remainder when 14908 is divided by 2479? 34 Calculate the remainder when 3016 is divided by 137. 2 Calculate the remainder when 18127 is divided by 863. 4 What is the remainder when 5047716 is divided by 106? 102 Calculate the remainder when 909 is divided by 199. 113 Calculate the remainder when 3845159 is divided by 34. 31 Calculate the remainder when 28834 is divided by 20. 14 What is the remainder when 2211 is divided by 9? 6 What is the remainder when 10023 is divided by 37? 33 Calculate the remainder when 4725 is divided by 382. 141 What is the remainder when 28368 is divided by 14169? 30 What is the remainder when 47178 is divided by 6722? 124 Calculate the remainder when 56571 is divided by 2693. 18 Calculate the remainder when 50037
{ "pile_set_name": "DM Mathematics" }
ng z is positive. z**(1448/455) Simplify (z/(z*z**0*z))**(-26/7)*z**(1/5)*z**(2/3) assuming z is positive. z**(481/105) Simplify (w/(w**9/w)*w*w*(w**(-1/3)/w)/w*w)**(-1/12) assuming w is positive. w**(19/36) Simplify j/(j**0/j)*j*j**16*j assuming j is positive. j**20 Simplify ((h**(3/7)/h)/h*h**6)**(-16) assuming h is positive. h**(-496/7) Simplify (c**(-1/14)*c/c**(-2/9))**(-1/15) assuming c is positive. c**(-29/378) Simplify (y/(y**(2/47)*y*y))/y*(y**(-3/11)/y)/y assuming y is positive. y**(-2231/517) Simplify ((l/(l**(2/3)*l))/l*((l*l**(1/5)*l)/l)/l)/((((l/(l*(l*l**(-1/3))/l))/l)/l*l)/(l/(l*l**(2/9))*l*l)) assuming l is positive. l**(44/45) Simplify (q/(q/q**(-13/5)))/q**5 assuming q is positive. q**(-38/5) Simplify (f*f**3)/(f**(-2/19)*f)*(f*f/(f*f/f**(-8))*f)/f**(-9) assuming f is positive. f**(97/19) Simplify (d/(d*d**(-8/3)/d))/d**5*(((d**(3/8)/d)/d)/d*d*d*d)/(d/d**(2/7)*d) assuming d is positive. d**(-449/168) Simplify m**(-4)*m**(1/5)*m/(m*m/m**6)*m/m**(-4/5) assuming m is positive. m**3 Simplify (s*s**0)**(8/9)*((s**0/s)/s)**(-35) assuming s is positive. s**(638/9) Simplify ((q**(2/3)/q)/(q*q**(-1/7)*q))/(q**(-10)*q**10) assuming q is positive. q**(-46/21) Simplify (v/(v**14/v))/v*v*v**22 assuming v is positive. v**10 Simplify (n**(-1/8))**(-26) assuming n is positive. n**(13/4) Simplify ((a*a**(-2/11)*a)/a)/(a/(a**(-5)*a)) assuming a is positive. a**(-46/11) Simplify (h*h*h*h*h/(h/(h*h**(1/14)/h)*h)*h*h)**(20/7) assuming h is positive. h**(710/49) Simplify ((i*i*i*i**1)/i)/(((((i**(-3)*i)/i)/i)/i*i)/i) assuming i is positive. i**8 Simplify ((w**1*w)/w)**(-1/42)*(w*w**(2/3))/(w**2/w) assuming w is positive. w**(9/14) Simplify (g*g*g**(-2/9)*g)/g**4*(g**(-6)*g)/(g/(g**5*g)) assuming g is positive. g**(-11/9) Simplify (d*d**6)/d**42 assuming d is positive. d**(-35) Simplify ((f*f*f/f**6)/f**(2/3))**26 assuming f is positive. f**(-286/3) Simplify (s**(2/27))**(-5/6) assuming s is positive. s**(-5/81) Simplify (z/((z*z/(z*z**(1/14)))/z*z*z))/z**(1/16) assuming z is positive. z**(-111/112) Simplify (m**1*m)**(-2/61)/(m/(m/(m*m**(-5)*m))*m**(-3/4)) assuming m is positive. m**(899/244) Simplify w**(1/5)*w*(w*w**(-2/15)/w)/w*w**(-4/3)*w/w**(3/4) assuming w is positive. w**(-61/60) Simplify a**(-3/23)*a**(-8) assuming a is positive. a**(-187/23) Simplify (k/(k*k**6))/(k/(k*k/(k*k**7*k)))*k/(k/(k**4*k))*(k*k**(-6)*k)/k assuming k is positive. k**(-14) Simplify (u/((u*(u*u**(1/4)/u)/u*u)/u))**(-1/11)/(u*u**(-2/9))**(11/2) assuming u is positive. u**(-1721/396) Simplify (v**(1/4))**(-7/12)/(v**(-5)*v**(2/5)) assuming v is positive. v**(1069/240) Simplify (s*s**12)/s*s/(s*(s*s**23*s)/s) assuming s is positive. s**(-12) Simplify z**(-1/9)/(z*z**(-5/14)) assuming z is positive. z**(-95/126) Simplify (k/((k*k**9)/k)*k**(-8))**(-2/3) assuming k is positive. k**(32/3) Simplify (a**(-2))**(22/5)*(a**(1/4)/a)**15 assuming a is positive. a**(-401/20) Simplify ((h**(-1))**41)**(-45) assuming h is positive. h**1845 Simplify (h/h**(4/7))/h**0*(h*h/(h/(h/h**(-1)*h)))**(2/7) assuming h is positive. h**(11/7) Simplify (z**(13/2)*z*z**(-1/14))**(2/29) assuming z is positive. z**(104/203) Simplify (z*z**(1/6))/((z/z**(6/5))/z) assuming z is positive. z**(71/30) Simplify (m**(2/9)/m*m*m*m/(m*m**(-1/3))*m)/(m**7/(m*m**0)) assuming m is positive. m**(-31/9) Simplify (c**(2/3)*c**(-6))/(c**(4/3)*c**(-4)) assuming c is positive. c**(-8/3) Simplify ((b/b**0)/b*b*b*b**(-7))**(7/6) assuming b is positive. b**(-35/6) Simplify s**(3/5)*s**(-11)*(s/((s/s**(1/2))/s))**(-4) assuming s is positive. s**(-82/5) Simplify (t/(t/t**(-5)*t))**(-8) assuming t is positive. t**48 Simplify ((c/(c**(-3)*c*c))**29)**(4/23) assuming c is positive. c**(232/23) Simplify ((i/(i*i*i/(i/(i*(i/i**(-4))/i)*i)*i))/i)/i**20 assuming i is positive. i**(-27) Simplify (l*l*l*l**(-11/4)*l)/((((l*l**(-35))/l)/l)/l) assuming l is positive. l**(153/4) Simplify (i**(-1/5))**(-46) assuming i is positive. i**(46/5) Simplify (k**7/(k**1*k))**30 assuming k is positive. k**150 Simplify k*k/((k**(-1/7)/k*k)/k)*k*k*k**(3/4)*((k**(-2)/k)/k)**(-4/13) assuming k is positive. k**(2593/364) Simplify (b*b**(-3))/b**(-2/29) assuming b is positive. b**(-56/29) Simplify (c/c**0*c/(c*c/c**(1/2)))/((c*(c/(c*((c/c**(-2/13)*c*c*c)/c)/c))/c)/c**(-3/4)) assuming c is positive. c**(99/52) Simplify ((o**(-3/13)*o)/o)**(-15) assuming o is positive. o**(45/13) Simplify (t*t**(-10))/(t/(t/t**(-3/5))*t)*(t/(t/t**(-2/5)*t))**(2/31) assuming t is positive. t**(-1471/155) Simplify ((a*(a/a**5)/a)/(a**(-5)*a))/(a*a*a**(2/3)*a)**(6/7) assuming a is positive. a**(-22/7) Simplify (q**(1/2)*q)**(22/5)/(q*q/(q*q/q**(-1/2)*q*q))**(-26/9) assuming q is positive. q**(-28/45) Simplify (l/(l/(l**(-1/16)/l)))/(l*l**(-17)/l) assuming l is positive. l**(255/16) Simplify (b**(1/18))**44 assuming b is positive. b**(22/9) Simplify ((c/(c**(2/11)*c*c*c))/c)**(2/65) assuming c is positive. c**(-14/143) Simplify (b**(-5))**(-25) assuming b is positive. b**125 Simplify (p**14)**23 assuming p is positive. p**322 Simplify (v**(-7)*v)/(v*v*v**36) assuming v is positive. v**(-44) Simplify (h/((h**16*h)/h))/h**9 assuming h is positive. h**(-24) Simplify ((j**0/j)**(2/13))**(-12/19) assuming j is positive. j**(24/247) Simplify (o**(-5)/(o*o**(3/4)))/(((o/(o*(o*(o*(o/(o**(-1/3)*o*o))/o)/o)/o))/o)/o)**(17/5) assuming o is positive. o**(-337/60) Simplify (b/(b/(b/(b**(-1)*b*b))))**41*b**2/b*b**(-5) assuming b is positive. b**(-4) Simplify (o*(o/o**1)/o)**(-37)/(o/(o**0/o))**43 assuming o is positive. o**(-86) Simplify (w**(-3/4)/(w/(w/(w/((w/w**(-1/10))/w)))*w))**(1/30) assuming w is positive. w**(-53/600) Simplify (r/r**(-9/8))/(r/(r*r**(1/80)/r*r)) assuming r is positive. r**(171/80) Simplify (x/(x/(x/(x*x/x**5*x))))**(-28) assuming x is positive. x**(-84) Simplify ((q/(q*(q*q*q**(-2/3)*q)/q))**(-8/11))**(-9) assuming q is positive. q**(-96/11) Simplify h**4/(h*h/(h*h**(1/3))*h) assuming h is positive. h**(7/3) Simplify (x*x**(2/9)/x)**(-8/11) assuming x is positive. x**(-16/99) Simplify ((j/((j**(-1)/j)/j))/j*j)**(-9/7)/(j/(((j/(j*j*j**(-2/3)/j*j*j))/j)/j)*j*j**(-1/4)/j) assuming j is positive. j**(-775/84) Simplify (((x/(x**(4/9)*x))/x)/x**(-2/3))/((((x*x*x*x/((x*x**(2/3))/x))/x)/x)/((x**(-5/2)*x)/x)) assuming x is positive. x**(-83/18) Simplify (h**(6/11)*h)/((h/(h*h**(-2/11)))/h)*h*h/(h/(h/((h*h**(-3/4)*h)/h)))*h**(-2/5) assuming h is positive. h**(817/220) Simplify (((w/((w/(w*((w*w*((w/((w*w/w**(3/4))/w))/w)/w)/w)/w*w))/w)*w)/w)/w*w*w/((w/((w*w**1)/w)*w)/w))**27 assuming w is positive. w**(297/4) Simplify (c/c**(-13)*(c*c*c**(2/5))/c*c)**(-1/24) assuming c is positive. c**(-41/60) Simplify (l*l**1)**(8/7)/(l/l**1*l**5) assuming l is positive. l**(-19/7) Simplify (u**(1/2)*u*u)**(-8) assuming u is positive. u**(-20) Simplify ((g**(-5/2)/g)/(g**(-4)*g))/((g/(g/(g/(g/(g*g*(g/((g/(g*g*g**1))/g))/g)))))/g)**(-41) assuming g is positive. g**(327/2) Simplify (s/(s/s**(-1/9)))**(6/7) assuming s is positive. s**(-2/21) Simplify (f/(f*f**(1/2)))**(-13)*(f**2)**(7/3) assuming f is positive. f**(67/6) Simplify (r/(r*r**(-30)))**12 assuming r is positive. r**360 Simplify (w/(w/w**1))**(4/11) assuming w is positive. w**(4/11) Simplify (i**2/i**(-5))/(i**(-2/13)*i*i*i/(i*((i*i**2)/i)/i)*i*i) assuming i is positive. i**(54/13) Simplify d/d**(1/2)*d*d*d*d**(1/18)*d assuming d is positive. d**(41/9) Simplify (q**0*q)**(8/5)/((q**4/q)/q**(1/9)) assuming q is positive. q**(-58/45) Simplify (x*x/x**9)/x*x*x**(16/7) assuming x is positive. x**(-33/7) Simplify m**(7/8)/(m/m**(-9)) assuming m is positive. m**(-73/8) Simplify v/v**(2/11)*((v/(v*v**(-1/53)/v)*v)/v)/v assuming v is positive. v**(488/583) Simplify y**(-2/9)/(y*y*y**12/y) assuming y is positive. y**(-119/9) Simplify k*k*k**(-8)*k*k*k**(1/9) assuming k is positive. k**(-35/9) Simplify (((f*(f*f*f*f**(-4/5))/f*f*f)/f)/((f/(f/f**7))/f))/((f**(-5)*f)/((f**(3/7)*f)/f)) assuming f is positive. f**(57/35) Simplify (y*y**7*y)**(-5/8) assuming y is positive. y**(-45/8) Simplify (n**(2/15)/(n/(n**(4/9)/n)))**(3/20) assuming n is positive. n**(-16/75) Simplify (r*r**(-6))/r**(-2/7)*r**6/(r**(1/5)*r) assuming r is positive. r**(3/35) Simplify q**(-4)/q**13 assuming q is positive. q**(-17) Simplify ((h**(-1/7))**(-3/26))**12 a
{ "pile_set_name": "DM Mathematics" }
*14/(-616)*-11 11 Calculate 6*((-49)/7)/(-105). 2/5 (1/(2/(-3)))/((-29016)/(-1248)) -2/31 What is ((-2)/(-4)*(-3)/(-3))/((-12)/(-192))? 8 What is the value of (1/296*37)/(3/(-36))? -3/2 What is the value of 4/(((-234)/65)/9)? -10 Calculate (28/90)/7*20/12. 2/27 Evaluate (((-2)/4)/((-37)/(-814)))/(1/(-1)). 11 Calculate (-26)/936*(-63)/7. 1/4 What is the value of (2/(-1)*(-1)/(-2))/((-385)/11)? 1/35 Evaluate ((9/(-8))/((-39)/52))/((-30)/(-52)). 13/5 What is the value of 70/70*(-2)/26? -1/13 Evaluate 151/151*8/22*(-1)/4. -1/11 (20/(-10))/(3/(-30)*-1*-8) 5/2 What is (-11)/2*22/11? -11 What is the value of 156/(-18)*(-72)/52? 12 What is the value of 8*(558/(-252))/(-31)? 4/7 What is (27/(-63))/((-6)/(-12))? -6/7 Calculate (((-30)/4)/3)/((-1565)/15024). 24 What is 27/(-126)*((-48)/9)/(-2)? -4/7 (4/165)/(1384/1730) 1/33 ((814/(-11))/37)/(2/48*3) -16 What is the value of (-3)/(-66)*(-55)/(-50)? 1/20 Calculate 3*((-1704)/(-2016))/(-71). -1/28 Evaluate (-684)/(-513)*9/(-4)*(-5)/1. 15 What is (-80)/16*154/(-55)? 14 Evaluate ((-26275)/4204)/(2/8). -25 36/45*((-125)/(-35))/(-5) -4/7 16/(32/(-14))*(-1)/(7/1) 1 (150/(-50))/((3/(-1))/3) 3 What is (-1)/(1/12)*(-57)/(-57)? -12 Calculate 56/(-6)*1521/(-676). 21 ((-3)/(-39))/(((-76)/19)/(16/(-4))) 1/13 What is the value of 4*(-1)/(5/(-6))*30/12? 12 Calculate (270/165)/(14/(-154)). -18 Calculate (0*(2/28)/((-104)/(-364)))/1. 0 What is (32/14)/((-180)/(-630))? 8 Evaluate ((-20)/245*(-14)/(-4))/(4/(-49)). 7/2 Calculate ((-24)/(-936))/(30/(-18)*1/2). -2/65 Evaluate -20*(-6)/(-144)*(-12)/20*0. 0 Calculate (4/(-3))/((-22)/(-99)). -6 Calculate (9/48)/(228/152). 1/8 Calculate (-40)/(-28)*(-3234)/330. -14 Calculate 8*((-64)/12)/8*(-9)/2. 24 Calculate (-9)/(-18)*9/(180/8). 1/5 Calculate ((-126)/(-140))/((9/(-2))/(-3)). 3/5 What is the value of 43/(1505/175)*2/((-4)/6)? -15 What is 2172/18824*(-26)/(-8)? 3/8 What is the value of 4/672*32*6? 8/7 (-42)/(-2562)*8/(-4) -2/61 Calculate (854/(-6832))/((-12)/2*(-2)/(-8)). 1/12 Evaluate (42/21)/(6/(-48)). -16 What is (-37*(-28)/4662)/((-28)/(-9))? 1/14 Evaluate (-68)/((-8976)/462)*(-4)/(-2). 7 What is -8*(-4)/96*13/((-52)/144)? -12 Evaluate ((-646)/17)/(-19)*1/1. 2 24/168*63/99 1/11 What is the value of (-195)/60*(-20)/(-5)? -13 What is ((-3)/(-15)*54)/(43/(6450/60))? 27 What is (-12)/195*45/(-18)? 2/13 Evaluate ((-144)/(-684))/(2/38). 4 Evaluate (-252)/567*(10/3)/(48/27). -5/6 (-13)/(-39)*27/(-39) -3/13 What is the value of 10/(-12)*2*-7*26/(-455)? -2/3 What is (16/184)/((-120)/(-345))? 1/4 What is the value of 12*((-6)/21)/(7*4/(-98))? 12 Evaluate ((966/(-36))/(-23))/((10/(-12))/(-5)). 7 Evaluate (7/77)/(6/30). 5/11 Evaluate (1/(-25))/((-8)/(1760/66)). 2/15 Evaluate (-21350)/(-305)*(2*-1)/(-10*1). 14 Evaluate ((-11)/(-88))/(4/6*(-81)/(-144)). 1/3 Evaluate (-2*2)/(2736/4788). -7 (-1188)/(-792)*(-1)/(6*1) -1/4 Calculate (-56)/(-6)*(-95)/((-29925)/540). 16 What is the value of 6/15*900/840? 3/7 What is -1*(-1)/(4/((-324)/(-9)))? 9 What is the value of (-136)/85*1100/176? -10 What is (-10)/4*(-11)/(4290/208)? 4/3 (-3)/8*(43792/414)/(-34) 7/6 Evaluate 2/(-11)*(-19)/((-5700)/(-275)). 1/6 What is the value of (-396)/(-165)*(1300/45)/13? 16/3 Evaluate ((29/(-174))/(2/12))/(-9). 1/9 ((-189)/84)/(24/(-128)) 12 Calculate 2940/420*((-6)/7)/(-1)*-1. -6 Calculate (-65)/(-18)*2355/(-3925). -13/6 (-6*4/(-24))/(13/(3978/(-17))) -18 What is the value of (2162/376)/((-6)/8*(-2)/(-6))? -23 Evaluate (((-96)/132)/8)/(-1). 1/11 6*((-193)/1158)/(-1*(-1)/4) -4 What is the value of 814/(-9768)*((-24)/(-45))/(-1)? 2/45 What is (2/(2*3))/((-309)/4635)? -5 What is the value of (-4*6/(-264))/(-18*10/(-25740))? 13 Calculate ((-313)/(-939))/(2/42). 7 What is the value of (416/(-192))/((-312)/(-96))? -2/3 Calculate ((-9)/6*(-4)/6)/(1258/(-74)). -1/17 What is (2/(-18)*3)/((182/(-13))/(-98))? -7/3 What is (2/1*15/(-60))/((-19)/418)? 11 Calculate (-84)/49*23/((-276)/(-112)). -16 Evaluate (1*-5)/(658/188)*-7. 10 What is the value of (((-105)/(-28))/15)/(-1)*(-4)/(-11)? -1/11 6*(-12)/180*(-425)/(-10) -17 Calculate ((-26)/(-15))/((-80)/(-100)). 13/6 What is (401/16040)/(2/(-12))? -3/20 What is (77/55)/((-2)/(-5)*1)*-2? -7 What is (0/1)/((7*26/(-91))/(-2))? 0 What is (-66)/(-21)*-1*1057/151? -22 What is 8/(-2)*81/81*1*7? -28 ((-1372)/784)/(21/(-24)) 2 What is ((-2)/(1*8))/(-4*(-6)/48)? -1/2 Calculate ((-5)/(-105))/((-30)/(-2205)). 7/2 What is the value of (-2)/((-32)/12)*(-88)/363? -2/11 What is the value of ((-15)/10)/(30/2380*7)? -17 (-2)/((18/54)/((-1)/(-1))) -6 What is the value of 14/((-224)/8)*(-5)/((-20)/(-18))? 9/4 Calculate 1/(-5)*(6600/10)/12. -11 Calculate 4/465*30/(-12). -2/93 ((-168)/(-18))/4*5/175 1/15 What is (8/(-102))/((-278)/(-834))? -4/17 Calculate ((-4)/(-76))/(144/1368). 1/2 What is (495/54)/11*24/(-510)? -2/51 What is (-36)/8*38/(-152)? 9/8 (2/1)/2*(-8)/(120/105) -7 Evaluate 1*8/(-26)*(-36504)/432. 26 Calculate (-2*(-1)/(-28))/(-4*6/28). 1/12 160/528*-3*99/(-72) 5/4 (-16072)/(-287)*1/56 1 What is 0/(-1*14/(56/4))? 0 (70/(-44))/(-5)*352/(-308) -4/11 Calculate (-14140)/1515*(-3)/154. 2/11 What is the value of (2*(-15)/10)/((-12)/200*5)? 10 What is 5*((392/(-105))/14)/(20/6)? -2/5 What is the value of 187/34*(-76)/(-5225)? 2/25 Evaluate (-2149)/(-4912)*2/(-42)*-9. 3/16 Evaluate 2*((-322)/28)/23. -1 What is -8*((-17)/(153/(-189)))/(-8)? 21 What is (108/8)/3*(-1670)/(-501)? 15 Evaluate (68/120)/17*3*(-52)/(-13). 2/5 What is the value of (18/(-90))/((-4)/(-30)*-12)? 1/8 What is (55/(33880/96))/(3/(-14))? -8/11 What is (11/(-1078))/((-3)/(-60))*280/(-100)? 4/7 Evaluate (7956/(-130))/(-17)*4/18*15. 12 What is (23/(828/24))/((-4)/(-1))? 1/6 What is ((-3384)/48)/(-47)*2? 3 Calculate ((1/17)/(4/4))/(148/592). 4/17 What is the value of ((-99)/(-2508)*19)/(3/68)? 17 What is the value of ((-8)/(-110))/(6/(-4)*(-208)/(-260))? -2/33 What is the value of (-1)/(-2)*(18/54)/(22/36)? 3/11 What is ((12/(-98))/(-1))/((-219)/(-2044))? 8/7 What is the value of ((-9)/414)/((55/10)/(-11))? 1/23 ((-8)/4)/((-12)/34*43/129) 17 Calculate (8/(-140)*-5)/((-2)/(-70)). 10 What is the value of 190/(-342)*11/(-55)? 1/9 What is the value of (-2)/28*406/232? -1/8 What is the value of (6/24)/(7/(-1008)*-7*-2)? -18/7 What is the value of 1/50*(78/13)/(24/(-4))? -1/50 What is ((-534)/(-356)*16/(-7))/(2/21)? -36 What is the value of (658/47)/((-6)/3)? -7 Evaluate (135/(-81))/(200/(-30)). 1/4 (19/(-19))/((-5)/3) 3/5 What is the value of 7/((-15)/450*-15)? 14 Calculate ((2436/(-196))/(-29))/(12/7). 1/4 7030/2109*3*3/(-285) -2/19 3*((-28)/21)/(20/100) -20 What is the value of 13/((-975)/255)*3*10/(-6)? 17 15*(-21)/(1134/36) -10 (1200/96*1)/(2/4) 25 Evaluate 144/(-126)*(-2)/(60/(-35)). -4/3 What is the value of (((-4)/(-20))/(4/(-10)))/(7/140)? -10 3*2*((-123)/246)/(6/4) -2 ((-8)/(-22))/(-1)*4*(-33)/176 3/11 What is 18/15*-30*40/90? -16 355/497*(-4)/6*3 -10/7 Evaluate (-76)/(-3)*((-91)/(-156))/((-28)/(-36)). 19 What is the value of (-16)/(-18)*1314/(-2044)? -4/7 What is ((-2)/18)/((-25)/(-150))? -2/3 Calculate 408/(-2720)*(-32)/9*(-18)/(-8). 6/5 What is the value of 1/(-1*(-2)/20)? 10 Evaluate (-34*(-54)/1377)/(20/15). 1 Evaluate ((-2)/(-34)*8/(-10))/(2850/21375). -6/17 (-6)/(-72)*-15*2*126/(-175) 9/5 What is ((-114)/(-532)*1)/((-24)/14)? -1/8 (-16)/1020*3*390/52 -6/17 Calculate ((-1944)/(-198))/9*11. 12 (-480)/100*(70/(-4))/7 12 What is the value of 1*((-36)/27)/((-8)/(-12))*-10? 20 (-56)/1155*209/(-114)*35*1 28/9 12/8*(48/504)/(22/14) 1/11 What is (-3)/(15/8)*8/16? -4/5 (-4)/2*(-1140)/570 4 ((-10)/(-6)*506/(-115))/((-4)/(-6)) -11 Calculate (1*12/(-6)*-13)/2. 13 -10*(-16)/12*15/25 8 Evaluate (11/2)/(((-52)/(-156))/(6/9)). 11 What is the value of ((-17)/(-680))/(3*(-10)/(-75))? 1/16 What is the value of 32/64*(-176)/8*(-2)/(-12)? -11/6 What is 2/(-4)*4/(-580)*-5*-4? 2/29 What is (-16*135/(-2880))/(2/((-8)/1))? -3 Calculate (10/(-15))/(-6*(-2)/(-162)). 9 What is ((-253)/69)/(1/(-3))? 11 What is the value of ((-4731)/(-3154))/((3/20)/(-1))? -10 Calculate ((-2010)/(-49245))/((-2)/(42/1)). -6/7 Calculate ((-306)/18)/(25/(-20)*-4). -17/5 Evaluate (1/2)/(((-3520)/(-64))/(-110)). -1 (2/(-5))/(12/180*(-30)/50) 10 ((-48)/28)/((-15)/(-21))*(-340)/51 16 What is ((84/49)/(-12))/(23/(-483))? 3 (12/(-10))/((-2)/25*6/4) 10 1/5*(-43)/(1720/75) -3/8 What
{ "pile_set_name": "DM Mathematics" }
ose -p + 11 = -3*a, p + a + 2 - 5 = 0. Calculate the remainder when 36 is divided by p. 1 Let v(l) = l - 9. Let a be v(-6). Let y = -7 - a. Calculate the remainder when 39 is divided by y. 7 Calculate the remainder when 2030/18 - 72/(-324) is divided by 59. 54 Let g be -1*(-3 + 6/1). Let z = -2 - g. Calculate the remainder when 47 is divided by (-2)/(4/(-30)) + z. 15 Suppose 5*h + 0*h + 8 = 2*q, -3*q = 3*h - 12. Suppose -103 + 3 = -q*p. Let s(y) = -2*y - 1. What is the remainder when p is divided by s(-5)? 7 Suppose 2*r = -2*r - 4*w + 32, w = 2*r - 10. What is the remainder when 18 is divided by r/4*(-32)/(-6)? 2 Suppose 3*k - 10 = k. Suppose -33 = -k*q + 92. Let b(h) = -h + 13. What is the remainder when q is divided by b(6)? 4 Let m be ((-126)/(-32))/(3/4)*20. Suppose -5*x + m = 2*x. Calculate the remainder when 58 is divided by x. 13 Suppose 3*f - 9 = o, -o - f = f - 11. Calculate the remainder when 48 is divided by (1 - 1) + o/((-12)/(-100)). 23 Suppose j - v + 2 = 0, v + 1 = 4*j - 3. Suppose j*d - 5*d + 6 = 0. Calculate the remainder when 4 is divided by d. 0 Let t = 93 - 193. Let v = t + 141. Calculate the remainder when v is divided by 16. 9 Let z(k) = k**2 + 4*k - 20. Let a(q) = 3 - 4 + 2*q - q**2 + 2*q**2. Calculate the remainder when a(-6) is divided by z(4). 11 Let m = 121 + -111. Suppose 7*h - 8*h + m = 0. Calculate the remainder when 37 is divided by h. 7 Suppose 3*c = 2*o + 167, -46 - 80 = -2*c + 5*o. What is the remainder when c is divided by 14? 11 Suppose -3*h + 69 = 2*y + y, 0 = -2*h + 4*y + 64. Suppose 0 = 3*w - 2*u - h, -3*w - 2*u - 2 = -2*w. What is the remainder when 29 is divided by w? 5 What is the remainder when 94 is divided by 1452/84 - (-4)/(-14)? 9 Let g(w) = 3*w + 5. Let q = 339 - 330. What is the remainder when g(4) is divided by q? 8 Suppose 59*n = 54*n + 575. What is the remainder when n is divided by 20? 15 Suppose 4*d = 2*z + 98, 174 = -3*z - 4*d + d. Let g be (6/(-10))/(11/z). Suppose 0*y + g*y - 225 = 0. What is the remainder when y is divided by 26? 23 Let r = -645 - -924. What is the remainder when r is divided by 94? 91 Let g = -7124 - -7154. What is the remainder when 2510/14 - 2/7 is divided by g? 29 Suppose -1028 = 3*a + 2*p, 0 = -4*a - 2*p - 5 - 1369. Let x = a + 600. Suppose -5*s + x = -131. What is the remainder when s is divided by 20? 17 Suppose 5*t - 2*t = -2*q + 286, 5*t = 2*q - 270. Suppose -4*x + q = x. Suppose -78*m + 668 + 502 = 0. Calculate the remainder when x is divided by m. 13 Let m(x) = 2*x + 0*x**2 - 3 + 2*x**2 + 0*x. What is the remainder when (400/(-8) - -8)/(-3) is divided by m(-3)? 5 Let s be -67 - (-6 - -3)/(1 - 0). What is the remainder when (-8)/s - (-231)/8 is divided by 8? 5 Let w(y) = -y**2 - 2*y + 63. Suppose 5*p = -0*p. What is the remainder when w(p) is divided by 8? 7 Calculate the remainder when 79 is divided by (-90)/120 + 366/8. 34 Suppose 0 = 4*k + 17 + 31. Let r be (0 - -3)*(-232)/k. Suppose 5*m - 12 = r. Calculate the remainder when 55 is divided by m. 13 Calculate the remainder when 8/12*(-126)/(-2) is divided by 33. 9 Let i = 51 - 28. Suppose 5*v + 10 = 3*v. Let g = 0 - v. Calculate the remainder when i is divided by g. 3 Let h(k) = 8*k - 46. Let m = 9 - 0. Calculate the remainder when 152 is divided by h(m). 22 Suppose -4*r + 5*i - 1 = 0, -2*i = -i + 3. Let s = r - -17. Suppose -o + s = -4. What is the remainder when o is divided by 10? 7 Suppose -3*f = 4*j - 313, -43 = -f - 4*j + 56. What is the remainder when f is divided by 38? 31 Suppose 6965 = 23*y - 303. What is the remainder when y is divided by 29? 26 Suppose v - 5*v = -8. Suppose -13 = -v*y - 7. Suppose -3*p = -4*m - 0*m + 55, -5*m - y*p + 35 = 0. What is the remainder when 29 is divided by m? 9 Let t = -133 - -196. What is the remainder when t is divided by 9? 0 Let v = 45 - 26. Let a = v - 7. Calculate the remainder when 23 is divided by a. 11 Let k(c) = 2*c**2 - 12*c + 90. What is the remainder when 179 is divided by k(6)? 89 Suppose 0*w - 4*w + 36 = 0. Suppose 3*i - w = 6. Let n(b) = -b - 6. Calculate the remainder when i is divided by n(-9). 2 Let i = -25 - -79. Calculate the remainder when 267 is divided by i. 51 Let n = 52 - 31. Suppose t + 75 = 5*m, 3*m - 67 = -3*t - 4. What is the remainder when n is divided by 26/39 + m/3? 3 Let q(p) = p**2 + 2*p - 10. What is the remainder when 188 is divided by q(6)? 36 Let j = -5 - -17. Let g = 38 + -35. What is the remainder when (-2)/((g/(-99))/(2/6)) is divided by j? 10 Let w(z) = -z**3 + 8*z**2 + 9. Let u = 82 + -43. Let j = 73 - u. Calculate the remainder when j is divided by w(8). 7 Let z(p) = 3*p**3 + 4*p**2 + 3*p - 3. Let a be z(4). Suppose l = 6*l - a. Suppose 32 = 5*u - l. Calculate the remainder when u is divided by 10. 7 Let y(i) = i**3 + 6*i**2 + 3*i + 7. Let z be y(-7). Let l = z + 89. Let x(r) = 4*r**2 - 3*r - 8. What is the remainder when x(5) is divided by l? 25 Let c(d) = -4*d - 47. What is the remainder when 54 is divided by c(-18)? 4 Suppose -c - 6*c + 42 = 0. Let x be 2079/49 + c/(-14). Suppose 5*a = -2*d + x, 5*d - 127 = 4*a + 44. What is the remainder when d is divided by 8? 7 Suppose -x + 4*x - 48 = 2*k, -3*x + 39 = k. Suppose 5*g + 2 = 4*f - 8, x = 2*f + 2*g. Calculate the remainder when 4/10 + (-88)/(-5) is divided by f. 3 Let b(p) = p**3 - 7*p**2 - 8*p + 7. Let z be b(8). Suppose -5*l - z = -6*t + 3*t, 4*t - 11 = 5*l. Calculate the remainder when 9 is divided by t. 1 Suppose 8 = -4*t, -5*k = 4*t - 66 - 26. Let b(a) = -a + 8. Calculate the remainder when k is divided by b(0). 4 Suppose -52 = -3*z + 5*z. Let q = 37 + z. What is the remainder when q is divided by 7? 4 Let o(r) = 8*r**2 + 58*r - 6. What is the remainder when o(-13) is divided by 33? 31 Suppose 6*w - 9*w = 0. Suppose -k + 3 + 2 = w. Suppose 10*n - 45 = k*n. What is the remainder when 25 is divided by n? 7 Suppose 0 = -54*z + 8517 + 5631. Calculate the remainder when z is divided by 18. 10 Let k = -43 - -56. Suppose -k + 364 = 13*z. Calculate the remainder when 214 is divided by z. 25 What is the remainder when 254 - (5 + -14 - -17) is divided by 64? 54 Let v(d) = -436*d - 1. Let p be v(-1). Suppose 0 = -5*y + 2*x + 242, -4 = y - 2*x - 46. What is the remainder when y is divided by p/33 + 4/(-22)? 11 Let v(u) = u**3 + 17*u**2 + 64*u + 17. What is the remainder when 63 is divided by v(-11)? 24 Suppose -2*i = 27 - 33. Let l = 22 - i. Calculate the remainder when l is divided by 11. 8 What is the remainder when 283 is divided by (-1 - -2)*(2 - 11 - -104)? 93 Suppose 2*n + 52 = 3*f, -2*f + 7 + 6 = 3*n. Let o be 1/2*(0 + 6). Calculate the remainder when 51 + -3 + o - -2 is divided by f. 11 Suppose 18*j = 49*j - 620. What is the remainder when 29 is divided by j? 9 Let g = 1000 + -902. What is the remainder when 367 is divided by g? 73 Suppose -5*x = -0*x - 6810. Suppose 0 = -12*q + x - 186. What is the remainder when q is divided by 25? 23 Let j = 3 - 13. Let z(i) = i**3 + 11*i**2 + 5*i - 5. Calculate the remainder when z(j) is divided by 8. 5 Suppose 4*l + 4*t = 9*l - 630, 0 = -l - 2*t + 112. What is the remainder when (0 - 12)*(-9)/2 is divided by l/(-18) - -7 - (-124)/9? 12 Suppose 200 = 3*k + k. Suppose -2*a = 2*a - z + k, 0 = -z + 2. What is the remainder when 27 is divided by 3 - (1 - a/(-1))? 13 Let p = -332 + 491. Calculate the remainder when p is divided by 41. 36 Let x(k) = 2*k**2 - 20*k - 102. Calculate the remainder when x(18) is divided by 48. 42 Let w = 286 - 131. Suppose 2*j = -3*q + w, 9*j - 153 = 7*j - 5*q. Calculate the remainder when j is divided by 20. 19 Suppose -y - 364 = -t, -17*y + 344 = t - 22*y. What is the remainder when t is divided by 53? 51 Let l be (-1193)/(-1) + 1 + (-6 - -2). Suppose 4*k - 717 = 2*u + 205, 0 = -5*k - 5*u + l. What is the remainder when k is divided by 47? 45 Let l = 11 + -9. Let k be (l/(-4))/((-7)/28). Suppose 0 = 5*d, -2*d = -k*z + 14 - 4. Calculate the remainder when z is divided by 3. 2 Suppose 8 = o - 9. Let l(t) = -t**3 + 6*t**2 + 12 - 5*t**2 + 9*t**2 - o*t. What is the remainder when 10 is divided by l(8)? 2 Suppose 200 = -19*w + 2024. Calculate the remainder when w is divided by 33. 30 Suppose 0 = 4*k - 5*z - 105, -5*k - 4*z + 141 + 21 = 0. Suppose 85*d + 400 = 110*d. What is the remainder when k is divided by d
{ "pile_set_name": "DM Mathematics" }
? 30113300 In base 3, what is 11 + 1102102211? 1102102222 In base 11, what is -71a - -3508? 2899 In base 14, what is 1b300 - 1? 1b2dd In base 2, what is 10 - -11001101001001001001? 11001101001001001011 In base 4, what is -22130300 - 3? -22130303 In base 11, what is 27 - 14889? -14862 In base 7, what is -244 + 4? -240 In base 12, what is 502b + 37? 5066 In base 15, what is 3 - -77c9? 77cc In base 10, what is -118 + -9104? -9222 In base 5, what is 220 + 21020? 21240 In base 12, what is 3 + 53984? 53987 In base 3, what is -1 - 22010020? -22010021 In base 5, what is 10003 + 43? 10101 In base 6, what is -14554 - -13? -14541 In base 5, what is 2 + -34122010? -34122003 In base 5, what is 121421 - 10? 121411 In base 4, what is -121 + -12300? -13021 In base 6, what is -200 + 1320251? 1320051 In base 12, what is 1 + 196771? 196772 In base 16, what is -8 + -5ab? -5b3 In base 10, what is 914 + -487? 427 In base 7, what is -11654 + 515? -11136 In base 4, what is -102032000 + -110? -102032110 In base 4, what is -11300 - -2221? -3013 In base 4, what is -10 - -101113? 101103 In base 16, what is -9f4e - 4? -9f52 In base 14, what is -28 - 68b5? -68dd In base 10, what is -16253 + 4? -16249 In base 10, what is 118 - -18423? 18541 In base 9, what is 4625 + -37? 4577 In base 10, what is -1 + 37212? 37211 In base 7, what is -15 + -310? -325 In base 3, what is -1101 + -12011? -20112 In base 16, what is 1 - 1faad? -1faac In base 16, what is -25 - 23ba? -23df In base 4, what is 32022 + -2001? 30021 In base 6, what is -133124 - 230? -133354 In base 10, what is 54 - 1486? -1432 In base 9, what is -5 - 88? -104 In base 7, what is 141120 + 4? 141124 In base 6, what is -10 - -10201411? 10201401 In base 5, what is -131 + -4014? -4200 In base 10, what is 240 - -973? 1213 In base 16, what is ca - b3? 17 In base 16, what is a20c + e? a21a In base 2, what is 10010 - 1011011111100? -1011011101010 In base 8, what is 321351 + -3? 321346 In base 8, what is -5722152 + 5? -5722145 In base 9, what is 52724 + 3? 52727 In base 3, what is 2101210 - 1? 2101202 In base 12, what is -2a41 + 1? -2a40 In base 5, what is 11113 - -441? 12104 In base 12, what is 74256 - 0? 74256 In base 5, what is -41223 - 3044? -44322 In base 12, what is -1 + -6452? -6453 In base 3, what is 2 - -222211112? 222211121 In base 14, what is 64b4 + -3? 64b1 In base 7, what is -4023 + -1200? -5223 In base 11, what is 0 - -38594? 38594 In base 10, what is 2579 - -11? 2590 In base 14, what is -1 - 2d214? -2d215 In base 6, what is -14 - -5431150? 5431132 In base 9, what is 33 + -2? 31 In base 8, what is 4 + 775300? 775304 In base 13, what is 5575 - 10c? 5466 In base 4, what is -13 + 330212? 330133 In base 7, what is 2566 + 654? 3553 In base 15, what is -11950 - 1? -11951 In base 10, what is 185 + 2555? 2740 In base 11, what is 9935a6 - 3? 9935a3 In base 15, what is 80 - -186? 216 In base 2, what is 11011010000 + 1110001? 11101000001 In base 13, what is 5 - -19cc1? 19cc6 In base 2, what is 100111011 + -10101000101? -10000001010 In base 6, what is 251132 - 1? 251131 In base 12, what is 2 + 1584a2? 1584a4 In base 4, what is 11231 + -12? 11213 In base 9, what is -11 + -732? -743 In base 10, what is 101118 + -5? 101113 In base 10, what is 3 + -46872? -46869 In base 3, what is 1122202210121 - 11? 1122202210110 In base 13, what is 5929 + -112? 5817 In base 2, what is -101 + -1001010110001101100? -1001010110001110001 In base 5, what is 0 + 33124240? 33124240 In base 5, what is 4414 + 133140? 143104 In base 4, what is 30303 + 2? 30311 In base 6, what is -1411 - -212? -1155 In base 4, what is -10 + -3110220? -3110230 In base 9, what is -545 - 3173? -3728 In base 6, what is 11435 - 205? 11230 In base 15, what is -5 + 1763be? 1763b9 In base 6, what is 2 + 1055213? 1055215 In base 6, what is 1340 - 453? 443 In base 5, what is 3 + 11004222? 11004230 In base 10, what is -18983 - -8? -18975 In base 5, what is -124122 - -301? -123321 In base 14, what is -5 + b185? b180 In base 12, what is 3 + 2b3? 2b6 In base 16, what is 17ce0 + -4? 17cdc In base 11, what is 636 - 3aa4? -3469 In base 12, what is -1700 + -4? -1704 In base 14, what is -31bd - -3b? -3182 In base 16, what is b660 + 0? b660 In base 11, what is -3051 + 92? -2a6a In base 12, what is -5 - -551a? 5515 In base 16, what is 8356 - 5? 8351 In base 8, what is 5 + -130003? -127776 In base 8, what is 4 - -150716? 150722 In base 15, what is -a8 - 99e? -a57 In base 5, what is 24 + -1010? -431 In base 9, what is 5178 - 17? 5161 In base 15, what is -c + -cc8b? -cc98 In base 9, what is -42264 + 0? -42264 In base 9, what is 136 + 8141? 8277 In base 15, what is -170 + -d2? -252 In base 5, what is 120 + -301243? -301123 In base 4, what is -1 - -113203130? 113203123 In base 12, what is -57 + -195b? -19b6 In base 8, what is -6711 - 3? -6714 In base 5, what is 310122013 - -3? 310122021 In base 2, what is 10010000100011001 + -1? 10010000100011000 In base 14, what is 40c5 - -6? 40cb In base 9, what is -625235 + 11? -625224 In base 6, what is 305 + -3532? -3223 In base 3, what is -1020 + -10022201? -10100221 In base 15, what is 377d + 10? 378d In base 4, what is 333 - 2031211? -2030212 In base 16, what is -5c9ef - -5? -5c9ea In base 12, what is 2b11 - -68? 2b79 In base 14, what is -8d5 - 0? -8d5 In base 11, what is a32995 - -5? a3299a In base 13, what is -5a09c6 - -1? -5a09c5 In base 4, what is -11211111 - -12? -11211033 In base 11, what is -280 - -49? -232 In base 14, what is 4 - 1091? -108b In base 3, what is 11 + -12211021? -12211010 In base 13, what is 6a8 - -35? 710 In base 8, what is 50 + -4664? -4614 In base 11, what is -4400 + 1a? -4391 In base 5, what is -22 - -12340? 12313 In base 3, what is -112221 + -100010? -220001 In base 12, what is -264 - -b0? -174 In base 15, what is -3 + -d213? -d216 In base 7, what is -123 - -636? 513 In base 8, what is 354425 - -4? 354431 In base 12, what is 118 + -616? -4ba In base 15, what is -145 - -be? -76 In base 12, what is -6 + -477? -481 In base 7, what is -124301 - 216? -124520 In base 9, what is 82 + -385? -303 In base 16, what is -179 - -39? -140 In base 13, what is 3 + 4c62? 4c65 In base 3, what is 20200022020 - -11? 20200022101 In base 15, what is -c6 - 2509? -25d0 In base 3, what is -201 + 11100010? 11022102 In base 11, what is 55 + 29? 83 In base 16, what is -a9 + -2? -ab In base 3, what is 1122 - 211122? -210000 In base 14, what is 22 - 88d? -86b In base 2, what is -100 - -11110001110? 11110001010 In base 13, what is -b50a3 - 0? -b50a3 In base 16, what is -48 - -108d3? 1088b In base 7, what is 1 - 11454553? -11454552 In base 10, what is -4947 - -87? -4860 In base 16, what is 4 - 11ddf? -11ddb In base 5, what is -322002 + 12? -321440 In base 10, what is -66522 - 0? -66522 In base 12, what is -27a3 - 28? -280b In base 4, what is -12032 - 11332? -30030 In base 6, what is 12 - 25544? -25532 In base 7, what is 5153203 + 4? 5153210 In base 15, what is -14cab + -6? -14cb2 In base 4, what is 101001123 - 0? 101001123 In base 16, what is 17 + -d66? -d4f In base 13, what is 184b6b - 5? 184b66 In base 14, what is 2 - -4c63? 4c65 In base 3, what is 1211100001 - 11? 1211022220 In base 16, what is -bd - 2c? -e9 In base 8, what is -34 + 267? 233 In base 5, what is -10 - -424023? 424013 In base 8, what is 17060 + -41? 17017 In base 3, what is 10022020012 - -22? 10022020111 In base 13, what is -20 - 3a37? -3a57 In base 12, what is 46 + 1787? 1811 In base 10, what is -64816 + -4? -64820 In base 11, what is -592 + -26? -608 In base 7, what is 5 + 121140? 121145 In base 5, what is 0 - 244020? -244020 In base 13, what is 1 + -2469? -2468 In base 7, what is -1016 + -230? -1246 In base 10, what is -1322909 + 0? -1322909 In base 14, what is 25 + 737d? 73a4 In base 12, what is -3 - -1a9b2? 1a9ab In base 5, what is 14131 - 203? 13423 In base 7, what is 221054 - 1? 221053 In base 4, what is -3233222 - -121? -3233101 In base 15, what is e62 - -10? e72 In base 15, what is -37 - 6ab1? -6ae8 In base 12, what is 3 - -b013? b016 In base 6, what is 4 - 2041? -2033 In base 8, what is -56431 + -3? -56434 In base 10, what is 21040 - -197? 21237 In base 14, what is -1 - -32ba7? 32ba6 In base 6, what is -42 + -145342? -145424 In base 15, what is 4 - -25bce? 25bd3 In base 5, what is -3
{ "pile_set_name": "DM Mathematics" }
is the closest to x? (a) f (b) 0.1 (c) g b Let y = 0.46 + -0.06. Let z = y - 0.4. Let x = 0.2 - z. What is the closest to 1 in 1, x, 5? 1 Let i be 1 + 1 - 10/5. Suppose -h + 2 = -i*h. Let z = 0.5 - 1. Which is the closest to 0.1? (a) -4/9 (b) h (c) z a Let l = 2 + -2.2. Which is the closest to 1/3? (a) -1/2 (b) -4/7 (c) l c Let k = 0.05 + -0.15. What is the nearest to k in -0.2, -2, 3/4? -0.2 Let m(p) = p**2 - 4*p + 4. Let n be m(4). Suppose -n*i - 4*h = -0*h + 4, -i + 4*h = -14. What is the closest to -2/9 in 4, -3, i? i Let a = 0.487 - 0.087. What is the nearest to -1 in -0.07, 0.5, a? -0.07 Let o = 3.4 - 5.4. What is the nearest to 12/5 in o, -0.5, 0? 0 Let q = -5.12 - -0.12. Let v = -4.8 - q. Let y be 15/7 - (-4)/(-2). What is the nearest to -1 in 1/3, y, v? y Let j = 0.3 - 0.3. Suppose -3*c = 2*c + 2*s - 23, 0 = 4*c + 3*s - 17. What is the closest to j in -3, 1, c? 1 Let w = 0.08 + 5.92. Let g = w - 3. Let u = -3.4 + g. Which is the closest to -1? (a) -3/2 (b) u (c) 3 a Let c = -2.2 - -2.1. Let z = -1253/1560 - -1/312. What is the nearest to c in -1, z, 2? z Let j(l) = -l**2 - l + 3. Let o be j(0). Let q = 30.8 + -31. What is the closest to q in -1/8, -1/3, o? -1/8 Suppose 0 = 3*t - 6, 5*r - 4*t + 4 = 1. Suppose -5*u = 2*n - 7 + 1, -n = 2. Let h be (-80)/(-102) - u/3. What is the closest to 1 in r, 4, h? r Let x = 21 - 16. Let g = -6 - -5.8. What is the closest to x in -1/3, 0.1, g? 0.1 Suppose 5*y = 2*p - 17, 3*p - 2*y = -y + 6. Let b be ((-72)/30)/(p/5). Let l be 14/b - (-2)/2. What is the closest to -1/2 in 3, l, 2/19? l Let u be 111/(-84) + (-9)/(-12). Which is the closest to -2/7? (a) u (b) 3/5 (c) 0.5 a Let j be 6/(-4)*4/(-14). Let o = 0.02 - 0.01. Let u = o - 0.01. What is the closest to u in 2, 0.5, j? j Let o = 25/2 + -329/26. Let w be 1 + 1 + -3 + 4. Suppose -z = -w*z - 4. Which is the closest to -1? (a) o (b) z (c) 4 a Let o = -0.9 - -1. What is the closest to -0.3 in o, -3/8, -3/4? -3/8 Let h = 2 + -5. Let z = 6 + h. Which is the closest to -2? (a) z (b) -0.5 (c) -0.2 b Let w = -8.8 + 9.3. Which is the closest to 3? (a) w (b) 4 (c) 5 b Let y be 2/(-8) - (-11)/12. Let v = 105 + -104. What is the closest to v in -7, y, -0.5? y Suppose 0*n = 3*n + 3. Let v be n + 0 + (-9)/(-11). Which is the nearest to 0? (a) v (b) -4 (c) -0.4 a Let f = -44.4 + 44. Suppose -4*p = q + 6, -5*q + 3*p + 1 = -15. What is the closest to q in 0.2, 3, f? 3 Let g = 3 - 1. Let v = 29 + -31. Which is the closest to -0.5? (a) g (b) v (c) -1 c Let l = 6 + -8.3. Let q = 2 + l. Let y = -1.1 + 1. Which is the nearest to y? (a) 3/2 (b) 1/2 (c) q c Let c = 3 - 2. Let a = -4 - -6. Suppose k - 6 = -a*k. What is the closest to c in -1, -0.3, k? k Let t = 68 - 269/4. Let f = -194 + 1356/7. Let v = -49 + 46. Which is the nearest to f? (a) t (b) -2 (c) v a Let r = -3 - -8. What is the nearest to 1/4 in -1, r, 1? 1 Let u = -559/8 - -70. Let l = -2/283 - -295/1698. Which is the nearest to -2/7? (a) 2/9 (b) u (c) l b Let l = 1.04 + 0.16. Let u = -0.2 + l. Suppose 0 = 4*d + 5*i - 2, d - 3*i = -d - 10. Which is the nearest to 2/3? (a) d (b) u (c) -0.1 b Let k = 13 - 8. Let d = 14 + -13.7. Which is the nearest to 0? (a) 4 (b) d (c) k b Let k = -0.04 + 4.04. Let u = k + -5. Let d = 3.9 - 4. Which is the closest to d? (a) -2/5 (b) u (c) -1/6 c Let v = -0.37 + -0.13. What is the nearest to 2 in v, 6, -5? v Let d = -558 - -7809/14. Which is the nearest to d? (a) 5 (b) -4 (c) -5 b Let n = 0.7 + 0.3. Which is the closest to 1/2? (a) -3/4 (b) 1/4 (c) n b Let z = 5.97 + -6. Let k = z - 0.47. What is the nearest to 2 in 3, -5, k? 3 Suppose -5*o - 14 = -29. Let t = -1.1 + 0.1. Which is the closest to -1? (a) t (b) o (c) 0.2 a Let x = -8.1 + 7. Let h = x + 9.1. Let r = h + -7. Which is the closest to 1/5? (a) r (b) -4 (c) -2 a Let m = -20.2 - -20. What is the nearest to m in 0, -5, -0.1? -0.1 Let s = -8 + 6.9. Let x = s - -0.1. Let u = -0.6 + 3.6. What is the nearest to x in u, 5, -0.5? -0.5 Let o = 11 - 7. Let x = -0.4 + 0.4. Which is the closest to 1/4? (a) x (b) 5 (c) o a Let z = 2.1 - 1.7. Which is the nearest to 0.2? (a) -1/5 (b) z (c) 4/5 b Let j = 0.04 + 0.06. Let q = 0.37 + -0.07. What is the nearest to 0 in j, -4, q? j Let z = -2/31 + 37/93. Let y be 1/6*(-4)/(-3). Which is the closest to -1? (a) z (b) y (c) 1/4 b Let j = -5.03 + 0.03. Let v be 126/(-62)*8/(-12). Let r = 608/403 - v. Which is the closest to 0? (a) 0 (b) j (c) r a Let h = -0.3 - 2.7. Let o = 92.4 - 82. Let y = o + -10. Which is the nearest to 3/7? (a) -2 (b) y (c) h b Let m = 68/3 + -23. Suppose 3*z = -0*l - l, 5*l + 2*z = -26. Let k be (-8)/6*l/14. Which is the nearest to 0? (a) -2/21 (b) m (c) k a Let p = -122 - -120. What is the nearest to 11 in 0.1, p, 1/4? 1/4 Let w = 0.1 - -0.1. Let s = w + -0.1. Which is the closest to -1? (a) 5 (b) -1 (c) s b Let v = 6 + -4. Let l = -2.3 + 2.2. Let d = 31/116 - 1/58. Which is the nearest to l? (a) v (b) -3 (c) d c Let n = 13 + -14. What is the closest to n in -3/7, -1, 2? -1 Let o(d) = d**3 - 3*d**2 - 4*d - 2. Let p be o(-2). Let w be (-13)/28 - p/(-49). Which is the nearest to 0.3? (a) 3 (b) w (c) 4 b Let v = -3/184 - -401/2024. Suppose -2*l - n - 3 = -4, -2 = 5*l + 4*n. Which is the closest to -1? (a) l (b) -5 (c) v c Let y = 0.05 + 0.05. Which is the closest to 0.2? (a) 2 (b) 4/5 (c) y c Let i = -3 + 5. Let j = 28 + -19. Let t be 7/12 + (-3)/j. What is the nearest to t in -4, i, 5? i Let h = -0.3 - -1.3. Let w = 385/1376 - 51307/53664. Let k = w - -1/104. Which is the closest to k? (a) -0.2 (b) h (c) -4/5 c Let p = -72 - -74. What is the nearest to -1/4 in 3, 2/5, p? 2/5 Let m(g) = 7*g - 3. Let t be m(1). Which is the nearest to 0.1? (a) 0.4 (b) 1 (c) t a Let h = -1 - -3. Let k = 0.07 + -0.57. Which is the nearest to -0.1? (a) h (b) -3/2 (c) k c Let h = -17/10 + 11/6. Which is the nearest to -1? (a) 4 (b) h (c) 2/7 b Let x be (-2)/(-2) + 18/(-3). What is the nearest to -3/2 in -1, 0, x? -1 Let p = -1153/15 - -77. Let d be (-68)/48 - 9/(-12). What is the nearest to 1 in d, p, 0? p Let u = -0.18 + 0.08. What is the nearest to 0.1 in u, 0, -0.4? 0 Let m = -8 - -3. What is the closest to -2 in -4, 2, m? -4 Let i = -634/5 - -127. What is the nearest to 2/29 in i, 3/5, -4/3? i Let z be (-28)/35 + (-21)/(-20). What is the closest to -1 in z, -0.5, -1/9? -0.5 Let s = 0 - 4. Let t = 9 - 14. Which is the nearest to 2/3? (a) 1/6 (b) s (c) t a Suppose 4*u - 262 + 54 = 0. Let o be (u/39)/(7/(-3)). What is the closest to -1/2 in o, -3, -1/7? o Let a = -2.3 - -0.3. Let g = a + 2. Let j = 0 + g. What is the nearest to j in -1, 3/4, -0.3? -0.3 Let h = 33 + -33.17. Let k = h - -3.17. What is the closest to k in 0.3, 0.4, -3? 0.4 Let p = 15 - 20. Let s = -0.5 + 1. Let n = -2 - -1.8. Which is the nearest to 1/3? (a) n (b) s (c) p b Let j = 43 + -40. What is the nearest to -1 in 0, j, 1? 0 Suppose 4*p - 2 = -6. Which is the nearest to p? (a) -0.2 (b) 2/13 (c) 0.4 a Let s be 2/(-8)*(-2 + 1). Let z = 153 + -153. What is the nearest to z in 1/3, s, -0.4? s Suppose 0 = -2*a + 8 - 4. Suppose -4*j - 12 = -3*v, a*j + 3 = j - 5*v. What is the nearest to -0.5 in -0.3, 3, j? -0.3 Let p = -215 + 213. Let j = 0 - 1. What is the nearest to j in 0.3, p, -0.4? -0.4 Suppose 10*v = 5*v - 5. Suppose 3*k + 1 = 7. Let h = v + k. What is the nearest to 0 in -0.4, 0.1, h? 0.1 Let r = 2 - 3. Let f = 2 + 0. What is the closest to r in -2/13, f, -0.2? -0.2 Let f = 11/35 + -3/5. Let h = 0.7 + 4.3. Let p = h - 8. What is the nearest to f in 1/2, p, -2? 1/2 Let k = 2 - 8. Let z = -4 - k. Let g = z + -2. Which is the nearest to -2/3? (a) g (b) -0.4 (c) -5 b Let b(s) = 2*s - 4. Let h be b(8). Suppose 3*y - 7*y - t - 10 = 0, 0 = 5*y + t + h. What is the closest to 1 in -5, y, -0.5? -0.5 Let f = 0.11 + -0.07. Let v = f - -0.26. Suppose -4*j + 4*n - 3 = 5*n, 2*j - 3*n + 19 = 0. Which is the closest to -2? (a) v (b) -0.1 (c) j c Let v = -0.4 + 0. Let h = 2.51 + -2.71. What is the nearest to -2 in v, -2/15, h? v Let m(d) = -8*d - 11. Let x be m(-2). Let j = 2 - 2.1. What is the closest to j in 0.1, x, 4? 0.1 Let o = -89/4 - -22. Let i be 4/2*(-170)/(-12). Let t = i - 29. Which is the nearest to o?
{ "pile_set_name": "DM Mathematics" }
re there between 10:59 PM and 1:16 AM? 137 How many minutes are there between 2:58 PM and 11:09 PM? 491 How many minutes are there between 6:36 PM and 6:03 AM? 687 How many minutes are there between 10:43 AM and 12:40 PM? 117 What is 655 minutes after 3:14 AM? 2:09 PM How many minutes are there between 4:30 PM and 1:54 AM? 564 What is 238 minutes after 11:46 AM? 3:44 PM What is 474 minutes after 6:30 AM? 2:24 PM What is 313 minutes before 9:59 PM? 4:46 PM What is 680 minutes after 1:45 PM? 1:05 AM What is 420 minutes before 11:27 AM? 4:27 AM How many minutes are there between 10:00 PM and 10:36 PM? 36 What is 366 minutes after 1:22 PM? 7:28 PM What is 572 minutes before 6:42 PM? 9:10 AM What is 235 minutes after 4:33 AM? 8:28 AM How many minutes are there between 1:55 AM and 4:34 AM? 159 What is 663 minutes after 3:38 PM? 2:41 AM What is 40 minutes after 1:29 PM? 2:09 PM What is 424 minutes after 11:21 AM? 6:25 PM What is 139 minutes after 1:55 AM? 4:14 AM How many minutes are there between 2:26 AM and 9:38 AM? 432 What is 25 minutes before 7:44 PM? 7:19 PM What is 459 minutes after 12:49 PM? 8:28 PM What is 689 minutes after 11:53 AM? 11:22 PM How many minutes are there between 5:31 PM and 12:17 AM? 406 What is 416 minutes after 8:18 PM? 3:14 AM How many minutes are there between 1:47 PM and 2:46 PM? 59 How many minutes are there between 1:36 PM and 8:21 PM? 405 What is 623 minutes after 1:18 PM? 11:41 PM What is 625 minutes before 8:48 PM? 10:23 AM How many minutes are there between 2:35 PM and 7:12 PM? 277 What is 186 minutes before 6:10 AM? 3:04 AM How many minutes are there between 2:06 AM and 8:52 AM? 406 How many minutes are there between 12:35 AM and 11:36 AM? 661 How many minutes are there between 4:10 PM and 9:12 PM? 302 How many minutes are there between 10:48 AM and 11:42 AM? 54 What is 48 minutes after 5:31 AM? 6:19 AM How many minutes are there between 2:58 AM and 5:22 AM? 144 What is 144 minutes after 7:55 AM? 10:19 AM What is 573 minutes after 11:26 PM? 8:59 AM How many minutes are there between 9:50 PM and 10:52 PM? 62 What is 102 minutes after 8:31 PM? 10:13 PM What is 254 minutes after 10:55 AM? 3:09 PM What is 634 minutes before 3:35 AM? 5:01 PM How many minutes are there between 2:47 AM and 3:12 AM? 25 What is 715 minutes after 5:09 PM? 5:04 AM What is 429 minutes after 3:51 AM? 11:00 AM What is 430 minutes after 10:37 PM? 5:47 AM What is 387 minutes before 8:14 PM? 1:47 PM What is 669 minutes before 4:34 PM? 5:25 AM What is 589 minutes before 5:16 PM? 7:27 AM How many minutes are there between 7:23 PM and 4:55 AM? 572 What is 657 minutes after 10:41 AM? 9:38 PM What is 421 minutes before 10:04 AM? 3:03 AM How many minutes are there between 10:31 PM and 8:20 AM? 589 What is 82 minutes after 2:43 AM? 4:05 AM What is 82 minutes before 5:09 AM? 3:47 AM How many minutes are there between 3:06 AM and 2:21 PM? 675 How many minutes are there between 12:36 AM and 7:02 AM? 386 What is 457 minutes before 2:19 AM? 6:42 PM What is 252 minutes before 1:27 AM? 9:15 PM How many minutes are there between 11:36 AM and 5:30 PM? 354 What is 217 minutes before 7:50 AM? 4:13 AM How many minutes are there between 11:05 PM and 8:33 AM? 568 How many minutes are there between 11:50 PM and 10:31 AM? 641 How many minutes are there between 7:07 AM and 5:23 PM? 616 How many minutes are there between 9:24 PM and 6:54 AM? 570 What is 185 minutes after 3:49 PM? 6:54 PM How many minutes are there between 1:01 PM and 9:14 PM? 493 How many minutes are there between 2:49 PM and 3:38 PM? 49 What is 488 minutes after 11:13 PM? 7:21 AM What is 429 minutes after 3:10 PM? 10:19 PM What is 173 minutes after 1:26 PM? 4:19 PM How many minutes are there between 8:14 PM and 11:18 PM? 184 How many minutes are there between 10:33 AM and 6:46 PM? 493 What is 286 minutes after 10:49 AM? 3:35 PM What is 292 minutes after 6:14 AM? 11:06 AM How many minutes are there between 3:18 PM and 10:52 PM? 454 How many minutes are there between 11:53 AM and 11:14 PM? 681 How many minutes are there between 9:28 AM and 3:09 PM? 341 How many minutes are there between 6:25 AM and 10:22 AM? 237 How many minutes are there between 9:41 AM and 3:05 PM? 324 How many minutes are there between 2:04 PM and 12:28 AM? 624 What is 481 minutes after 9:57 AM? 5:58 PM What is 405 minutes before 6:54 AM? 12:09 AM What is 400 minutes before 6:31 PM? 11:51 AM How many minutes are there between 2:27 PM and 10:38 PM? 491 How many minutes are there between 9:06 AM and 11:52 AM? 166 How many minutes are there between 7:15 PM and 3:28 AM? 493 What is 573 minutes after 2:59 PM? 12:32 AM What is 342 minutes after 2:45 AM? 8:27 AM How many minutes are there between 6:06 PM and 1:15 AM? 429 What is 586 minutes before 10:36 AM? 12:50 AM How many minutes are there between 2:46 AM and 10:25 AM? 459 What is 344 minutes before 7:04 AM? 1:20 AM What is 697 minutes before 2:33 AM? 2:56 PM How many minutes are there between 5:01 AM and 12:27 PM? 446 How many minutes are there between 10:20 PM and 1:34 AM? 194 How many minutes are there between 12:56 PM and 3:35 PM? 159 What is 546 minutes before 1:38 AM? 4:32 PM How many minutes are there between 1:05 PM and 8:58 PM? 473 What is 453 minutes before 9:16 PM? 1:43 PM What is 663 minutes after 12:35 PM? 11:38 PM What is 49 minutes after 2:15 PM? 3:04 PM What is 184 minutes before 12:00 AM? 8:56 PM What is 111 minutes after 4:42 AM? 6:33 AM What is 371 minutes after 3:35 AM? 9:46 AM How many minutes are there between 4:04 AM and 7:05 AM? 181 What is 625 minutes after 10:21 AM? 8:46 PM How many minutes are there between 11:02 AM and 7:02 PM? 480 What is 564 minutes after 8:03 PM? 5:27 AM What is 505 minutes after 10:57 AM? 7:22 PM What is 128 minutes before 1:22 PM? 11:14 AM What is 50 minutes before 1:43 PM? 12:53 PM What is 552 minutes before 12:58 PM? 3:46 AM What is 670 minutes before 8:10 AM? 9:00 PM What is 121 minutes after 7:12 AM? 9:13 AM What is 496 minutes after 10:57 AM? 7:13 PM What is 62 minutes after 7:02 PM? 8:04 PM What is 186 minutes before 10:26 PM? 7:20 PM What is 459 minutes before 6:34 PM? 10:55 AM What is 103 minutes before 7:29 AM? 5:46 AM How many minutes are there between 8:11 AM and 10:21 AM? 130 How many minutes are there between 1:03 PM and 5:16 PM? 253 How many minutes are there between 5:06 PM and 6:13 PM? 67 How many minutes are there between 10:24 PM and 4:40 AM? 376 How many minutes are there between 11:13 PM and 9:02 AM? 589 What is 41 minutes after 11:31 PM? 12:12 AM How many minutes are there between 12:29 AM and 4:32 AM? 243 How many minutes are there between 10:09 PM and 5:33 AM? 444 How many minutes are there between 4:34 PM and 11:59 PM? 445 What is 11 minutes after 6:27 AM? 6:38 AM How many minutes are there between 1:28 PM and 5:32 PM? 244 How many minutes are there between 8:09 PM and 1:01 AM? 292 How many minutes are there between 8:47 AM and 4:52 PM? 485 How many minutes are there between 4:49 PM and 10:07 PM? 318 What is 505 minutes after 8:22 AM? 4:47 PM What is 71 minutes after 11:24 PM? 12:35 AM How many minutes are there between 3:40 AM and 8:49 AM? 309 What is 605 minutes after 11:57 AM? 10:02 PM What is 623 minutes before 11:33 AM? 1:10 AM How many minutes are there between 9:51 AM and 11:59 AM? 128 How many minutes are there between 1:41 AM and 2:19 AM? 38 How many minutes are there between 5:35 AM and 3:08 PM? 573 How many minutes are there between 3:09 AM and 3:19 AM? 10 How many minutes are there between 8:19 AM and 6:39 PM? 620 What is 605 minutes after 8:35 AM? 6:40 PM What is 374 minutes before 3:39 AM? 9:25 PM What is 557 minutes after 6:42 AM? 3:59 PM What is 172 minutes after 5:37 PM? 8:29 PM How many minutes are there between 5:23 PM and 4:44 AM? 681 How many minutes are there between 4:25 PM and 10:50 PM? 385 What is 101 minutes before 6:23 PM? 4:42 PM How many minutes are there between 2:50 AM and 3:52 AM? 62 How many minutes are there between 3:09 AM and 6:31 AM? 202 What is 589 minutes before 1:02 AM? 3:13 PM What is 203 minutes before 10:51 AM? 7:28 AM What is 439 minutes after 12:05 PM? 7:24 PM What is 670 minutes after 2:35 PM? 1:45 AM How many minutes are there between 8:16 PM and 6:26 AM? 610 How many
{ "pile_set_name": "DM Mathematics" }
smallest value in -178.229, 10, -18? -178.229 Which is the second biggest value? (a) 34453 (b) 23 (c) -0.25 b Which is the third smallest value? (a) -2/11 (b) -24.74 (c) -1/7 (d) 0.3 (e) -15.6 a What is the seventh biggest value in 1/2, -0.5, 3, -2, 558, 5/32, -4? -4 What is the second biggest value in -2/19, -5/466, 0.17, 2/205? 2/205 What is the third biggest value in 113, -1, 1, -0.4, -87? -0.4 Which is the biggest value? (a) 2/1939 (b) 109/2 (c) -2/3 b What is the fourth biggest value in 565, 6/23, 1.18, -0.4? -0.4 What is the second biggest value in -3.6, 2, 3, -17, -0.3? 2 What is the fifth biggest value in 2.6, -82, 2, 122, 3, -4? -4 What is the third smallest value in 41, -10955, -1? 41 What is the third biggest value in -1.02, 37, -7, 0.2, 6/11, -5, -6? 0.2 What is the second biggest value in 0, -0.09, -1/5, -0.4, -0.17, -1/222? -1/222 What is the third biggest value in 0.5, 301, 3, -2/13, 1/4, 19? 3 Which is the third smallest value? (a) -5 (b) 1/6 (c) 45074/19 (d) 0.9 d What is the second biggest value in 0.54, 3/7, 5, 35, -0.3, -2/5, 6? 6 Which is the smallest value? (a) 2/171 (b) 2/5 (c) 13 (d) -5/4 d Which is the second smallest value? (a) -3/7 (b) 5 (c) 3 (d) 35 (e) 1/7 (f) -0.37494 f Which is the second biggest value? (a) -2/13 (b) 7 (c) -1 (d) 1 (e) 2/7 (f) 13/9 (g) 2 g Which is the sixth biggest value? (a) 1 (b) 4/3 (c) -4 (d) 1/3 (e) -3 (f) -45 (g) -38 g What is the second biggest value in 0.2, 4, 699698, 3? 4 Which is the third biggest value? (a) 6 (b) 0.3 (c) 1.9 (d) -5954 (e) -6 (f) 5 c What is the fourth biggest value in 10229, 0.6, 5, -4077? -4077 Which is the second biggest value? (a) 4 (b) -10 (c) 2.7 (d) 0 (e) 9776 a What is the fifth smallest value in -5443, -1/2, -1, -2.4, -82? -1/2 Which is the second biggest value? (a) 0.5 (b) 2539 (c) -0.2 (d) -9/2 a Which is the fourth biggest value? (a) 0.3 (b) 4/7 (c) -0.214 (d) -2 (e) -0.2 (f) 6.4 (g) -4 e What is the third biggest value in 1/2, -3/16, -4375/9? -4375/9 Which is the third smallest value? (a) 2 (b) 78225 (c) 7/3 b Which is the fourth smallest value? (a) 7 (b) -61 (c) 3 (d) 151/2 (e) 0.5 a Which is the biggest value? (a) -1/5 (b) -1/7 (c) -0.045 (d) 0.5 (e) 0.0335 d Which is the fourth biggest value? (a) 0.8 (b) 2/553 (c) -1/2 (d) -0.1 (e) 1/2 (f) -1 d What is the biggest value in -1, 415980, -0.02? 415980 Which is the fourth smallest value? (a) 47 (b) -1030 (c) 2.5 (d) 129 d What is the third smallest value in 110, -1/4, -14, 284, -3/7? -1/4 Which is the third biggest value? (a) 41/58 (b) 32 (c) -0.066 c Which is the fourth smallest value? (a) -4/5 (b) -0.046 (c) -2 (d) 3/2 (e) 15/802 e What is the sixth biggest value in -22, 2/11, 14, 0.05, -1, -2/7? -22 What is the second biggest value in 5, 20, -3, 2/5, 4, 1/7, -0.17? 5 Which is the second biggest value? (a) -4/7 (b) 0 (c) 14/9 (d) 2 (e) 1 (f) -827 c Which is the smallest value? (a) -5/4 (b) -14095 (c) -1/4 (d) 5 (e) -1/252 b Which is the second biggest value? (a) 13.8 (b) 3 (c) -2/1345 (d) -1 (e) 13/25 b What is the fifth smallest value in 1/4, 161593, -2/7, 2, -20? 161593 Which is the third biggest value? (a) 280295791 (b) -2 (c) -4 c What is the smallest value in -0.8, -8.93, 2/419? -8.93 Which is the second biggest value? (a) -2/45 (b) 2/15 (c) 3 (d) -1769 (e) -39 b What is the fifth smallest value in 16, 2/7, 6, -5, -49.89? 16 Which is the sixth biggest value? (a) 6 (b) 0.04 (c) 188/7 (d) 1/4 (e) -1 (f) 0.4 e Which is the fourth smallest value? (a) 499.6 (b) 1 (c) -2 (d) -1/3 (e) 7.2 e What is the smallest value in 4/5, 1, -35547, -2/3, 2, 2/17? -35547 What is the biggest value in 1/23, -0.2, 8/179, -2.6, 0.18? 0.18 Which is the smallest value? (a) 567 (b) 4 (c) 5 (d) -30 d What is the third smallest value in -0.7, 0.27, -3, 3/2, 127? 0.27 Which is the second biggest value? (a) 1/9 (b) -4/9 (c) 2 (d) -0.0779 (e) 161 (f) -0.5 c What is the fifth smallest value in -2, -8.8, -52, 2/7, 0.1? 2/7 Which is the smallest value? (a) -956406 (b) -2/305 (c) -1/4 a What is the biggest value in -7, -1887779, 0? 0 Which is the fifth biggest value? (a) -1/2 (b) -1/7 (c) -2 (d) 0.2 (e) -4375 (f) -0.08 c Which is the biggest value? (a) -1 (b) 46/3 (c) 1/234 (d) 9 b Which is the second biggest value? (a) -1/908 (b) 0.3 (c) -0.2 (d) -11293 a Which is the second smallest value? (a) -16 (b) 0.1 (c) 2835195 b What is the third biggest value in -4, 715, 2/3, -658? -4 What is the fifth smallest value in -1/4, 1749, 18.7, -2/5, 3/7? 1749 What is the biggest value in -2/9, -2, -1, -4, 0.3, 0.1, -1/6? 0.3 Which is the biggest value? (a) 0.16 (b) -7 (c) -2 (d) -1.3 (e) -1/4 (f) -2/5 a What is the smallest value in -63, -13.23, -3/10, 1/4, 0.4, 0? -63 What is the second smallest value in -0.4, 2, -160653, 18? -0.4 What is the third smallest value in -2222/67, 2/9, -23? 2/9 What is the third smallest value in 0.04, -318, -5, 812? 0.04 What is the biggest value in -1/4, -27727784, 0.1, -20? 0.1 What is the second biggest value in -0.4, -13, -5, 1/12, -1366, -0.03, -0.061? -0.03 What is the second smallest value in -7394, 2/3, 5, 1/50? 1/50 Which is the fifth smallest value? (a) 12 (b) -0.07 (c) 42 (d) 0.3 (e) -2/11 (f) 6/5 a What is the fourth smallest value in 29, -0.3, 1/2, -1/5, -0.6747, -7? -1/5 What is the second smallest value in 6695, 1/15, 1/17? 1/15 Which is the sixth smallest value? (a) -1.3 (b) -10 (c) -3/4 (d) 1 (e) -3 (f) -27/17 d Which is the third biggest value? (a) 453/5 (b) -3 (c) 4 (d) -0.1 (e) 12383 c What is the smallest value in 1/8, -0.5, 2.6653? -0.5 What is the third smallest value in -1/24, 3, -1/2, -13/2, 15? -1/24 What is the second biggest value in 5, -55.03, -23.3, 106? 5 Which is the fifth smallest value? (a) -0.5 (b) -1.12 (c) 2 (d) -12 (e) -2 c Which is the seventh smallest value? (a) 0.016 (b) 0.3 (c) 1 (d) -0.3 (e) 2/9 (f) -1.2 (g) 2/3 c Which is the fourth biggest value? (a) 1 (b) 3/4 (c) 6695 (d) -3.8 d Which is the second biggest value? (a) 0.01384 (b) -1/4 (c) 1 (d) 170 (e) -5 c What is the second biggest value in 5, -1273874, -5? -5 What is the smallest value in 5, -1/2, 193, -5, 46, -5/7? -5 What is the fourth smallest value in -0.07, 0.38, 40, -1747? 40 Which is the second biggest value? (a) 58 (b) -1/4 (c) 9 (d) -65/8 c Which is the sixth biggest value? (a) -0.3 (b) -0.2 (c) 3 (d) 2/11 (e) -49 (f) 0.07 (g) -0.01 a What is the second smallest value in -36, -0.1, -89/50? -89/50 What is the biggest value in -10239/35, 2/3, 1, -0.4? 1 Which is the third biggest value? (a) 578.2 (b) 5332 (c) 0.4 c What is the third biggest value in 0, 0.02, -0.5, 2, 3.06? 0.02 What is the smallest value in 1, -0.464561, 0? -0.464561 What is the fourth smallest value in -19/8, 3, 1236, -6? 1236 What is the fifth biggest value in 495, 2/5, -4, -5, 3, 10? -4 Which is the seventh biggest value? (a) 3/4 (b) 2/15 (c) 14.1 (d) -1 (e) 5 (f) -0.1179 (g) 1/2 d Which is the second biggest value? (a) -19556 (b) -1 (c) 0.4 (d) -1.3 (e) -0.4 e What is the second smallest value in -1, -799/4, 9/2, 3.01? -1 Which is the biggest value? (a) -800.45 (b) -2/5 (c) -3 (d) 3 (e) -4 (f) 2/5 (g) -0.09 d What is the biggest value in 1, 6, -3, 2, -2.39, -4/9, 7? 7 What is the smallest value in -1/9, 22021, -279, 0.5? -279 Which is the third smallest value? (a) 0 (b) -14/12233 (c) 17 (d) 1/2 d Which is the sixth smallest value? (a) 7/5 (b) -106.8 (c) -76/7 (d) 0.2 (e) 4 (f) 0.3 e Which is the smallest value? (a) -1/4 (b) 1/421 (c) -3597 (d) -0.1 c Which is the fourth biggest value? (a) -5/27 (b) 34 (c) 2 (d) -0.0924 (e) -0.5 (f) -0.3 a Which is the second biggest value? (a) 10 (b) -94 (c) 2640 (d) 1/3 a What is the biggest value in 1/10, -3, -570119, 18? 18 What is the third smallest value in 33/2, -6131, -4, -0.3? -0.3 What is the third biggest value in 0.0046, 2/5, -3/5, -278/7, 5, -0.5? 0.0046 Which is the third smallest value? (a) 260 (b) -0.1 (c) -30 (d) -0.07 d Which is the fifth smallest value? (a) 2/9 (b) -4 (c) -0.3 (d) 21 (e) 0.4 (f) 67 (g) 3 g Which is the thir
{ "pile_set_name": "DM Mathematics" }
962*k**3. -2898*k**3 Collect the terms in 2668*q**2 + 255*q**3 - 257*q**3 + 2298*q**2 - 4966*q**2. -2*q**3 Collect the terms in -3 + 7 + 551745*o - 4 - 537081*o. 14664*o Collect the terms in 10042*t + 54429*t + 5848*t. 70319*t Collect the terms in 89 - 89 - 6540*z**2 + 204994*z**2 - 12080*z**2. 186374*z**2 Collect the terms in -1823507 - 1823511 + 6*v**2 + 3647018. 6*v**2 Collect the terms in 3400 - 76*u - 3400 - 30*u + 11*u. -95*u Collect the terms in -2*s - 93969*s**2 + 33*s**3 + 21*s - 10*s - 9*s + 93971*s**2. 33*s**3 + 2*s**2 Collect the terms in 8*p**3 + 261*p - 126*p - 136*p. 8*p**3 - p Collect the terms in 9947 - 184823*y**3 - 9947 + 184817*y**3. -6*y**3 Collect the terms in 916*n**2 + 28179*n - 914*n**2 - 28179*n - 32. 2*n**2 - 32 Collect the terms in -1156 + 69*f**2 - 1161 + 45*f**2 + 2317. 114*f**2 Collect the terms in 3851*w**2 - 1937*w**2 - 1944*w**2. -30*w**2 Collect the terms in 1308*k - 570*k + 1940*k. 2678*k Collect the terms in -219*c + 550 - 536 + 218*c. -c + 14 Collect the terms in -58*y**2 + 2245138*y**3 - 2245135*y**3 + 58*y**2. 3*y**3 Collect the terms in -649627*s + 325021*s + 324554*s. -52*s Collect the terms in -14618*i**2 + 13888*i**2 - 119*i + 119*i - 2. -730*i**2 - 2 Collect the terms in -82*h**3 + 27945346*h**2 - 27945346*h**2. -82*h**3 Collect the terms in -19648 - 19242 + 38890 - 7*s. -7*s Collect the terms in 1302*b - 2*b**2 - 8611 + 4*b**2 - 1302*b. 2*b**2 - 8611 Collect the terms in 1984*l**2 + 1796*l**2 + 1905*l**2 - 6180*l**2 + 0*l + 0*l. -495*l**2 Collect the terms in 1215*y - 7536*y + 353*y - 4703*y - 2554*y. -13225*y Collect the terms in -143*k**2 - 88*k**2 - 212*k**2 - 149*k**2 + 835*k**2 - 62*k**2. 181*k**2 Collect the terms in -22*v**2 + 7*v**2 + 3*v**2 + 66 + 3*v**2. -9*v**2 + 66 Collect the terms in 265 - 128 - 129 + 7157*w**2. 7157*w**2 + 8 Collect the terms in 278*y - 88*y - 192*y - 2263. -2*y - 2263 Collect the terms in 5722*a**3 + 204198 - 204198. 5722*a**3 Collect the terms in 8885*p**2 - 4416*p**2 - 3*p + 0*p - 4431*p**2. 38*p**2 - 3*p Collect the terms in 1019697 - 339901 + 26*r - 339897 - 339899. 26*r Collect the terms in -5879*i**3 + 3*i + 2890*i**3 - 3*i + 2955*i**3 + 16. -34*i**3 + 16 Collect the terms in 20401*f + 614*f**2 - 804*f**2 - 20401*f. -190*f**2 Collect the terms in 1384425*w**2 - 692198*w**2 - 91 + 183 - 692153*w**2 - 92. 74*w**2 Collect the terms in -14595 - 24*l - 14625 - 14587 + 43807. -24*l Collect the terms in 2371 - 130*q - 156*q + 24*q**3 + 286*q - 2371. 24*q**3 Collect the terms in -1 - 171114760*g**2 + 171114745*g**2 + 1. -15*g**2 Collect the terms in -2221784 + 5*p**3 + 1110597 + 1111187. 5*p**3 Collect the terms in -1192 + 4716 + 4*n**3 + 2*n**3 - 1172 - 1176 - 1176. 6*n**3 Collect the terms in -90*a**3 - 389*a**3 - 516*a**3 - 232*a**3 - 1228*a**3. -2455*a**3 Collect the terms in 633 + 1051 + 12*o - 375 + 5*o. 17*o + 1309 Collect the terms in -617*b - 415*b - 482*b + 23*b + 175*b. -1316*b Collect the terms in 10 - 267840752823*f**3 - 10 + 267840752833*f**3. 10*f**3 Collect the terms in -437*c + 481*c + 6128*c. 6172*c Collect the terms in -1 + 66*h + 68*h + 63*h - 261*h + 59*h. -5*h - 1 Collect the terms in -8*j**2 - 29 - 152*j**3 + 12 + 201*j**3. 49*j**3 - 8*j**2 - 17 Collect the terms in 112 + 257*d - 338*d**2 - 257*d - 38. -338*d**2 + 74 Collect the terms in -850*r - 6*r**2 + 28*r**2 - 3 - 18*r**2 + 426*r + 424*r. 4*r**2 - 3 Collect the terms in 22 - 22 + 820115*q**2. 820115*q**2 Collect the terms in -8942*j**2 + 8926*j**2 - 4 - 5 + 5 + 4. -16*j**2 Collect the terms in -63269*i**3 - 63273*i**3 - 63278*i**3 - 63286*i**3 + 253122*i**3. 16*i**3 Collect the terms in -124*g**2 - 81*g**2 - 115*g**2 + 643*g**2 - 108*g**2 - 111*g**2 - 108*g**2. -4*g**2 Collect the terms in 59980*q**3 - 59955*q**3 + 3047*q - 3034*q. 25*q**3 + 13*q Collect the terms in -110156807*n**3 + 36718935*n**3 + 36718939*n**3 + 36718942*n**3. 9*n**3 Collect the terms in -1 - 34*a**2 + 418*a + 854*a - 38*a + 41*a**2. 7*a**2 + 1234*a - 1 Collect the terms in 3749*h + 3658*h - 11121*h + 3713*h. -h Collect the terms in 859307244*u**3 - 1718614482*u**3 + 859307240*u**3. 2*u**3 Collect the terms in -27*n + 177*n - 27*n - 52*n - 67*n. 4*n Collect the terms in -7*f + 28*f**3 - 1886*f**2 + 7*f + 1889*f**2. 28*f**3 + 3*f**2 Collect the terms in -44*c**2 - 27*c**2 - 25*c**2 - 455 - 356 - 357 + 1168. -96*c**2 Collect the terms in -3*a**2 - 30 + 53*a - 145 + 7*a**2 - 5*a**2 - 61. -a**2 + 53*a - 236 Collect the terms in -138*q**2 - 3 + 2 + 44*q**2 - 15 + 72*q**2. -22*q**2 - 16 Collect the terms in 103156234*d**2 + 2 - 2. 103156234*d**2 Collect the terms in 15024*x - 17385*x + 42397*x. 40036*x Collect the terms in -23424*c**2 + 7230*c**2 + 16240*c**2. 46*c**2 Collect the terms in 65327*t**3 - 31373*t**3 - 33950*t**3. 4*t**3 Collect the terms in -724 - 757 + 2688 - 4*q**2 - 488 - 719. -4*q**2 Collect the terms in -2*q - 484*q**2 + 2*q - 99*q**2 - 417*q**2. -1000*q**2 Collect the terms in 4179*m + 17 + 2029*m + 9 - 26. 6208*m Collect the terms in -3054*c + 3324*c + 3578*c + 4663*c + 474*c. 8985*c Collect the terms in -2351*d**2 + 1209*d**2 + 1144*d**2 - 10*d + 54*d. 2*d**2 + 44*d Collect the terms in -10291094 + 7*k - 21*k + 10291094. -14*k Collect the terms in 8189822029 - 8189822029 - 47*l. -47*l Collect the terms in 59 + 33 + 9*m - 7*m - 206 + 114 + 0*m. 2*m Collect the terms in 2570*i - 17 + 17 - 152*i**3 - 2570*i + 584*i**3. 432*i**3 Collect the terms in 90850*p**2 - 43817*p**2 - 43506*p**2. 3527*p**2 Collect the terms in 1658*c - 1 - 802*c - 800*c + 4. 56*c + 3 Collect the terms in 62*y**2 - 3 - 60*y**2 + 4 - 5822*y. 2*y**2 - 5822*y + 1 Collect the terms in -64*r + 6*r - 2*r + 4429*r**2 + 7*r + 53*r. 4429*r**2 Collect the terms in -147*s**2 + 2 + 0 - 45439281*s + 45439281*s. -147*s**2 + 2 Collect the terms in 40573*f**2 + 2 - 10116*f**2 - 10227*f**2 - 10111*f**2 - 2 - 10115*f**2. 4*f**2 Collect the terms in -2112852*z + 4225720*z + 2 - 2112860*z. 8*z + 2 Collect the terms in 1466*u**3 + 0*u - 5*u + 5*u + 1479*u**3 - 2937*u**3. 8*u**3 Collect the terms in -549 - 492 + 2197 - 525 - 534 + z. z + 97 Collect the terms in -2*p**3 + 188915 - 188915 - 9*p**3 - 64*p**3 - 62*p**3 + 6*p**3. -131*p**3 Collect the terms in -54*d + 339864307 - 339864307. -54*d Collect the terms in -421*k**3 - 434*k**3 + 1061*k**3 - 164*k**3. 42*k**3 Collect the terms in -149*q + 12*q + 20 - 21*q - 20. -158*q Collect the terms in 14*f - 8*f - 971 + 745. 6*f - 226 Collect the terms in -1104*i**2 + 5611*i**2 - 1110*i**2 - 1110*i**2 - 1124*i**2 - 1162*i**2. i**2 Collect the terms in 1959*j**2 - 3987*j**2 + j**3 + 2028*j**2. j**3 Collect the terms in 3434*s + 1456*s + 1305*s + 801*s. 6996*s Collect the terms in 1146*s**3 - 1417*s**3 + 684*s**3. 413*s**3 Collect the terms in 3*q + 17050 + 5741 - 2*q + 0*q + 5608. q + 28399 Collect the terms in -30*i**2 - 42*i**2 - 78*i**2 + 320. -150*i**2 + 320 Collect the terms in 40538*x + 321*x**2 - 48 + 48 - 40538*x. 321*x**2 Collect the terms in 6399*n + 6216*n - 1265*n. 11350*n Collect the terms in -44*m - 45*m + 295*m - 53*m - 102*m - 49*m. 2*m Collect the terms in -37*d**2 + 169*d**2 - 2 + 5*d**3 + 41*d - 4*d**3 + 30*d**2. d**3 + 162*d**2 + 41*d - 2 Collect the terms in -48712 + 8*k**2 + 3*k**3 + k**2 - k**3 - 8*k**2. 2*k**3 + k**2 - 48712 Collect the terms in -9830*x**3 + 108967*x**2 - 108967*x**2. -9830*x**3 Collect the terms in -18*t - 17*t - 1922*t**3 + 3680*t**3 + 35*t - 1756*t**3. 2*t**3 Collect the terms in -1093*f**3 + 88*f**2 - 159*f**2 + 28*f**2 + 25*f**2 + 18*f**2. -1093*f**3 Collect the terms in -1506115*o - 83 + 83. -1506115*o Collect the terms in 1403001 + 1442*i**2 - 1403001. 1442*i**2 Collect the terms in 15*w**2 + 0*w + 14*w**2 + w + 13*w**2 + 0*w - 161*w**2 + 117*w**2. -2*w**2 + w Collect the terms in 2*f**2 - 1198*f + 3214*f - 1006*f - 1010*f. 2*f**2 Collect the terms in 3*u**3 + 204872*u**2 + 202973*u**2 - 407845*u**2. 3*u**3 Collect the terms in -3586 + 3586 - 10844*h**2. -10844*h**2 Collect the terms in 68*j**2 + 6*j - 84*j**3 - 297*j**2 + 229*j**2. -84*j**3 + 6*j Collect the terms in 2 + 0 - 79*y - 5 + 34*y + 19*y + 28*y. 2*y - 3 Collect the terms in -33 - 44*p - 30 - 23 + 85 + 39*p - 155*p. -160*p - 1 Collect the terms in -74159496355 - p - p + 74159496357 - 3*p. -5*p + 2 Collect
{ "pile_set_name": "DM Mathematics" }
60 (base 9) to base 6. 343 What is 100111 (base 3) in base 15? 121 -810 (base 9) to base 16 -291 What is 1b0 (base 12) in base 15? 136 Convert 200101 (base 4) to base 5. 31230 Convert -52150 (base 7) to base 3. -122112011 -15c9 (base 16) to base 4 -1113021 What is 2432433 (base 5) in base 14? 12a93 -147 (base 15) to base 9 -354 What is -12214 (base 7) in base 15? -e31 171 (base 9) to base 4 2101 -243355 (base 7) to base 14 -1229c What is 1052540 (base 6) in base 10? 53772 2334 (base 12) to base 14 1608 What is 232 (base 12) in base 2? 101000110 What is -2422 (base 5) in base 13? -21b Convert 673 (base 8) to base 13. 281 Convert -118a (base 11) to base 4. -120032 -4770 (base 11) to base 8 -14150 Convert -148 (base 15) to base 16. -125 What is -21011020 (base 3) in base 13? -24b4 -1010101001110000 (base 2) to base 8 -125160 Convert -d15 (base 15) to base 11. -2238 What is 10158 (base 13) in base 14? a6d5 41354 (base 6) to base 3 21121021 2378 (base 9) to base 7 5111 Convert -164 (base 7) to base 14. -6b Convert -208 (base 14) to base 2. -110010000 What is -9b1 (base 14) in base 16? -77f Convert 12423 (base 7) to base 14. 12ba Convert -4012 (base 5) to base 2. -111111011 What is -12110 (base 6) in base 11? -136a 7363 (base 8) to base 4 323303 -44466 (base 7) to base 2 -10101111010100 Convert 43254 (base 6) to base 15. 1b5d -dd (base 16) to base 9 -265 Convert 130444 (base 7) to base 10. 24238 -2377 (base 10) to base 12 -1461 112233 (base 4) to base 7 4146 Convert 2233222 (base 5) to base 2. 1001101110000100 What is 15b4 (base 12) in base 5? 40314 Convert -26 (base 13) to base 12. -28 -11400 (base 5) to base 13 -505 Convert -65174 (base 9) to base 2. -1010100010010111 What is -1548 (base 10) in base 4? -120030 What is -111010010111001 (base 2) in base 14? -ac65 Convert 10202011 (base 3) to base 10. 2731 What is -596b (base 12) in base 14? -3919 Convert -2a87 (base 14) to base 2. -1110110001111 2189 (base 16) to base 8 20611 What is 1955 (base 11) in base 15? b05 -16136 (base 7) to base 14 -191d Convert 6585 (base 9) to base 6. 34252 28082 (base 9) to base 10 19028 What is -2130211 (base 5) in base 9? -54720 12100220 (base 3) to base 2 111101001000 Convert 220310 (base 4) to base 14. d48 What is -35d (base 16) in base 15? -3c6 Convert -2001000211 (base 3) to base 12. -1b271 Convert -3313 (base 4) to base 10. -247 What is -12011 (base 5) in base 8? -1561 What is 2a9 (base 13) in base 5? 3402 What is 133102 (base 5) in base 12? 3162 What is -f00 (base 16) in base 14? -1584 195a (base 16) to base 12 390a 11011101011101 (base 2) to base 5 423143 2346 (base 7) to base 15 3cc Convert -24 (base 13) to base 9. -33 1c79 (base 13) to base 14 180d What is 65b (base 12) in base 5? 12220 What is -5103 (base 13) in base 2? -10101110010101 Convert 21146 (base 8) to base 14. 32d0 What is -5b0 (base 12) in base 6? -3540 Convert -52 (base 10) to base 15. -37 Convert 1001100001110 (base 2) to base 7. 20136 1000100100001 (base 2) to base 12 2655 Convert -45971 (base 10) to base 2. -1011001110010011 What is 4250 (base 7) in base 16? 5e1 -a04 (base 11) to base 13 -725 What is -2104 (base 10) in base 16? -838 Convert 801 (base 9) to base 2. 1010001001 -20010 (base 4) to base 15 -246 Convert 6044 (base 9) to base 8. 10476 What is -13512 (base 6) in base 5? -32012 Convert -3c5c (base 16) to base 6. -155312 What is -233 (base 14) in base 11? -368 Convert 129c (base 13) to base 2. 101001101000 What is 1310 (base 9) in base 6? 4313 What is 1016 (base 7) in base 16? 164 Convert 11001100000 (base 2) to base 11. 1254 48701 (base 9) to base 11 22587 -ac1 (base 13) to base 15 -832 What is -100123 (base 4) in base 11? -876 Convert 695 (base 14) to base 12. 90b 1726 (base 12) to base 8 5316 What is 29a (base 11) in base 16? 15f Convert -7039 (base 13) to base 14. -589d What is 1062 (base 8) in base 6? 2334 10ec (base 15) to base 8 7015 Convert -4279 (base 14) to base 5. -331400 Convert 111000 (base 2) to base 11. 51 What is -131233 (base 5) in base 3? -21010100 Convert 101044 (base 5) to base 14. 129c 1010001011101 (base 2) to base 7 21125 What is 1535 (base 6) in base 15? 1ce 10002 (base 4) to base 15 123 Convert 1302131 (base 4) to base 11. 555a What is 100010101111100 (base 2) in base 6? 214204 What is -41011 (base 5) in base 8? -5107 What is 320232 (base 5) in base 12? 6230 bf9 (base 16) to base 15 d95 Convert b3a6 (base 12) to base 9. 28750 342035 (base 6) to base 16 7127 Convert 2492 (base 15) to base 7. 31463 What is -94a6 (base 15) in base 6? -401303 What is -1182 (base 10) in base 5? -14212 What is 19a2 (base 14) in base 5? 122100 Convert -2515 (base 7) to base 11. -788 What is -200533 (base 6) in base 7? -63633 What is -1022220 (base 3) in base 11? -801 Convert 6131 (base 9) to base 6. 32431 Convert a8 (base 14) to base 2. 10010100 Convert -433 (base 10) to base 13. -274 What is 1134 (base 14) in base 10? 2986 What is 104b (base 16) in base 2? 1000001001011 -33188 (base 9) to base 2 -101011000001111 Convert 4001 (base 15) to base 12. 7991 -86 (base 11) to base 14 -6a What is -1408 (base 11) in base 5? -24243 -1516 (base 7) to base 6 -2441 What is 464 (base 9) in base 7? 1054 Convert 52635 (base 8) to base 13. 9c8c Convert -2b8e (base 16) to base 5. -324100 Convert -d18 (base 16) to base 12. -1b34 What is 2022210002 (base 3) in base 7? 250301 Convert -d11 (base 14) to base 6. -15511 Convert -21330 (base 4) to base 12. -450 Convert -20a58 (base 12) to base 7. -236210 Convert -16862 (base 9) to base 13. -53b4 404 (base 9) to base 13 1c3 Convert 6016 (base 7) to base 11. 1613 What is 4424 (base 6) in base 13? 60a 490 (base 16) to base 13 6bb What is -22521 (base 6) in base 10? -3217 Convert 49e7 (base 15) to base 2. 11110101111110 -13235 (base 13) to base 8 -105316 -2173 (base 8) to base 9 -1514 Convert 12419 (base 11) to base 9. 26375 What is 11 (base 12) in base 5? 23 What is 1a85 (base 13) in base 6? 30300 -144 (base 16) to base 2 -101000100 Convert 422131 (base 6) to base 12. 17947 Convert -32366 (base 7) to base 2. -1111110010100 What is 13003211 (base 4) in base 13? 10202 Convert 145f (base 16) to base 6. 40051 -1206 (base 15) to base 14 -1579 Convert 121201 (base 3) to base 15. 201 -10100112 (base 3) to base 12 -14b8 -2210 (base 5) to base 6 -1225 Convert -b94 (base 16) to base 3. -11001210 Convert 3181 (base 9) to base 7. 6553 What is 13032300 (base 4) in base 10? 29616 Convert -111000110110 (base 2) to base 8. -7066 Convert 12302 (base 5) to base 8. 1670 -221130 (base 4) to base 9 -3566 What is -d59 (base 15) in base 12? -18a9 What is -8016 (base 12) in base 4? -3120102 -31427 (base 9) to base 5 -1131021 What is -1023 (base 9) in base 3? -1000210 a (base 16) to base 11 a What is 1131241 (base 5) in base 8? 50525 Convert -5766 (base 9) to base 16. -10b0 Convert 4248 (base 10) to base 9. 5740 -63376 (base 10) to base 14 -1914c Convert 381 (base 13) to base 11. 507 What is 2345 (base 6) in base 3? 210002 Convert 2020 (base 5) to base 4. 10010 What is -110111010001100 (base 2) in base 15? -85ba What is 3303313 (base 4) in base 8? 36367 1317 (base 8) to base 11 5a4 -14686 (base 15) to base 13 -23b23 What is 19942 (base 11) in base 13? c830 What is 1763 (base 12) in base 7? 11124 Convert 2375 (base 12) to base 6. 30225 What is 1242 (base 9) in base 12? 655 What is -3423 (base 6) in base 5? -11212 30103 (base 5) to base 6 12451 Convert -202111100 (base 3) to base 6. -153100 Convert 41 (base 13) to base 11. 49 What is 373 (base 11) in base 13? 281 What is -881 (base 9) in base 2? -1011010001 -53324 (base 6) to base 12 -4244 What is 100202 (base 3) in base 14? 14b -1258 (base 12) to base 10 -2084 3227 (base 9) to base 4 211012 What is 1584 (base 11) in base 8? 3754 23bb (base 12) to base 4 332333 What is 338 (base 15) in base 6? 3212 -220233 (base 5) to base 9 -11338 What is -1851 (base 11) in base 14? -c03 What is 791 (base 14) in base 5? 21444 Convert 203 (base 14) to base 5. 3040 Convert -10000100010 (base 2) to base 5. -13213 -8431 (base 13) to base 15 -5647 What is -41475 (base 8) in base 3? -212121112 What is 11010010010100 (base 2) in base 4? 3102110 42000 (base 5) to base 13 1337 What is 2554 (base 9) in base 5? 30122 What is -1906 (base 13) in base 12? -21a4 What
{ "pile_set_name": "DM Mathematics" }
mplify (t*t*t**14*t)/(t*t*t/t**(-21)*t*t*t)*(t/(t*t*t*t*t**6/t*t*t*t))/t**(2/17) assuming t is positive. t**(-359/17) Simplify (j**(-11)*j**30)**(-2/69) assuming j is positive. j**(-38/69) Simplify (v/(v**(-22)*v*v)*v**(3/13)*v)/(v**9/v*v)**(2/23) assuming v is positive. v**(6413/299) Simplify (w*((w/w**2)/w*w)/w)**41*(w*w**(1/3)/w)**(-19) assuming w is positive. w**(-142/3) Simplify (a/(a*a**(-2/13)))**(-5/8)*(a*a**2/a*a)**24 assuming a is positive. a**(3739/52) Simplify o*o**(-10)*o/(o*o*o/(o/o**(-6))*o)*(o*(o*o/(o/o**(-1/6)))/o)**(-47) assuming o is positive. o**(-265/6) Simplify ((y/((y**(-1/5)*y)/y))/y*y)**(-19/5)*(y**(-17)/y)/((y**(-1/13)/y)/y) assuming y is positive. y**(-6657/325) Simplify j/j**(5/3)*j*j**(-4)*(j/(j/(j/j**(-1/3))))**(-7) assuming j is positive. j**(-13) Simplify (((t**22*t*t)/t)/(t**(-30)/t))**(6/23) assuming t is positive. t**(324/23) Simplify (r*((((r*r**(-2/7))/r*r*r)/r)/r*r)/r)**(-13)/((r/r**(-10))/r**(-1/19)) assuming r is positive. r**(-2705/133) Simplify (g**(-12)/(g/((g/g**(1/14)*g)/g*g)))/(g/((g/(g*g/(g/g**(-6)*g))*g*g)/g)*(g*g/g**6)/g*g) assuming g is positive. g**(-1/14) Simplify (q**(-3/8)/q*q*q**(-5)*(q/q**4)/q*q/q**7)**6 assuming q is positive. q**(-369/4) Simplify ((i*i**(-2/7))**25*i*i*(i**(1/9)/i)/i*i*i/(i/(i/(i*i**(-1/9)))*i))**(-13) assuming i is positive. i**(-14807/63) Simplify ((j**(3/10)*j)/j**(-7))**6 assuming j is positive. j**(249/5) Simplify (q**(1/2)/q)/(q**20*q)*(q**(-7))**(3/7) assuming q is positive. q**(-49/2) Simplify (u*u*u*u/(u/(u/(u**7*u))))**30*u**9*u/(u*u**(2/9)) assuming u is positive. u**(-1001/9) Simplify ((v**(-5)/((v*v**(-7))/v))/(v/v**(-1/4))**40)**(-4/13) assuming v is positive. v**(192/13) Simplify m*m**(-1/31)*m*m**(-2/5)*m**4/(m/(m**(3/19)*m)) assuming m is positive. m**(16862/2945) Simplify ((c/c**(2/5))/c**(-1/19))/((c**(-2)/c)/c**(-11)) assuming c is positive. c**(-698/95) Simplify d**(-7)*(d*(d/((d/d**(-7))/d)*d*d*d)/d*d)/d*(d/(d/d**(2/41))*d)/d**(-7) assuming d is positive. d**(-80/41) Simplify (i**3)**(-2/21)/(i**(-11)*i*i/(i/(i/((i*i**(-12))/i))*i)) assuming i is positive. i**(-16/7) Simplify (x**(-6)*x)/x**(-4/13)*(x*(x**(2/23)*x)/x)/(x*x*x**14) assuming x is positive. x**(-5862/299) Simplify (m/m**(9/4))/m*m/(m/(m**(-5/3)*m))*m**(-5/4)/m**(-17) assuming m is positive. m**(77/6) Simplify ((k/(k/k**(-9)))/(k**(-13/2)/k))**(-1/21) assuming k is positive. k**(1/14) Simplify (((p*p**(-6))/p*p)/(p*p**(-9/5)/p*p))/(p**24*p*p/(p/(p**8*p*p))*p*p) assuming p is positive. p**(-206/5) Simplify ((c**(-2/13)/c)/((c*c*c/(c/(c**24/c*c)*c))/c))**34 assuming c is positive. c**(-11118/13) Simplify i*(i*i/(i/(i*i**13*i*i)))/i*i*i*i*i/((i*i*i**(-1)*i)/i)*i*i*(i/i**(-2/9))**(4/19) assuming i is positive. i**(3806/171) Simplify m*m**(-6/11)*m**(13/6)/m*(m**(-5/8))**(9/7) assuming m is positive. m**(1511/1848) Simplify (((s**(-1)*s)/s)**(4/11)/(s**(-9)/s*(s/s**(2/29))/s))**(-10) assuming s is positive. s**(-30960/319) Simplify ((d/d**(-3))/d*d)**(4/9)/(d**(-3/14)/(((d/d**(-13))/d)/d)) assuming d is positive. d**(1763/126) Simplify ((h*(h**(-13)/h)/h*h)/(h/h**13*h))/((h/(h*h**1*h))/h*h)**(-4/9) assuming h is positive. h**(-26/9) Simplify (a**(3/2)*a*a*a**(1/12))/((a/(a**(-4/5)/a))/(a/((a*a**(2/15))/a*a*a))) assuming a is positive. a**(-7/20) Simplify (d/d**(8/7))/d**(4/7)*(d/(d*d*d**(-2/3))*d)/d**0 assuming d is positive. d**(-1/21) Simplify (((d**(-2/5)/d)/d)**29*d**(-4/7)*d*d**1)**(4/5) assuming d is positive. d**(-9544/175) Simplify (r**28/r)/(r*r*(r/r**(2/13))/r*r*r*r*r)*(r**(-6/7))**(7/13) assuming r is positive. r**(269/13) Simplify (k**8)**(-23)*(k**(-10))**(-2/39) assuming k is positive. k**(-7156/39) Simplify ((v**(-1/3))**(2/107)*(v*v**(3/4))/(v**2*v))**(-1/8) assuming v is positive. v**(1613/10272) Simplify g**3/(g/g**(2/5))*(g/(g*g*g/(g**0/g)*g)*g)/g*g/g**(1/13) assuming g is positive. g**(-44/65) Simplify (((w*(w/(w*w*w**5)*w)/w*w)/(w/((w*w/w**(2/3)*w)/w)))/(w*w/w**(-1/2)*w)**(-47))**(-1/26) assuming w is positive. w**(-965/156) Simplify (((g/((g**(2/5)/g*g)/g*g)*g)/(g/(g*g**(-2/13))))/((g*g/(g**(-2/3)*g)*g)/((g/g**(-5))/g)))**(-2/23) assuming g is positive. g**(-1474/4485) Simplify (n**(-16)*n**(10/3))/(n/(n/(n*n**(1/8)*n*n)*n))**4 assuming n is positive. n**(-127/6) Simplify ((c/((c*c/c**(-34))/c))/c)/c**6*(c/c**17)/c**34 assuming c is positive. c**(-91) Simplify ((n/(n**(2/11)/n))/(n/((n*n**5)/n)*n))/(n/n**(-2/7))**(-3/16) assuming n is positive. n**(6233/1232) Simplify ((d**4*d)/(d**6*d))**14 assuming d is positive. d**(-28) Simplify i**12*((i*i/(i*i**(-6)))/i)/i*(i*i/(i/(i/(i*i**(1/7)*i*i))*i))**(1/28) assuming i is positive. i**(3317/196) Simplify (v*v*v**(-1/2)*v/(v*v**12*v))/(v*v**(-7)/v*v/v**(6/5)) assuming v is positive. v**(-43/10) Simplify g*g**(-1)*g*g**19*g*g**(-21/5)*g**(-3) assuming g is positive. g**(69/5) Simplify (j/(j*j**(-1/2)))**(-20)*j**10/(j/((((j**(5/4)/j)/j)/j)/j)) assuming j is positive. j**(-15/4) Simplify (a**7)**(-8)*a*a**(7/2)/a*(a/a**(-4/9))/a assuming a is positive. a**(-937/18) Simplify ((l**(-1/9)*l)/(l*l**(-7/3)))/(l**(-16)/((l/(l/(l**(3/8)/l)))/l)) assuming l is positive. l**(1195/72) Simplify (i**9/i*i*((i*i**4)/i)/i)/(i**(-1)*i)**(1/31) assuming i is positive. i**12 Simplify (c/(c**(-1/19)*c)*c*c*c/(c/(c/(c*(c*c/(c**(-18/5)*c))/c*c*c)*c))*c*c*c*c*c)**(-7) assuming c is positive. c**(-1631/95) Simplify ((q*q/q**(2/27))/(q*q*q**1*q*q))/(q*q/q**4*q**(1/16)) assuming q is positive. q**(-491/432) Simplify (((((t*t/(t*t**(-3/4)))/t)/t)/t*t*t)/t)**(-2/103)*(t**(-2/11))**28 assuming t is positive. t**(-11525/2266) Simplify g**(-1/2)/(g/(g/g**9))*(g/(g**1*g))**(-44) assuming g is positive. g**(69/2) Simplify (o/(o/(o/o**(8/3)))*o)**9/(o/o**(3/5))**23 assuming o is positive. o**(-76/5) Simplify (k**(-3/10)/k**(-11))/((k/(k*k**(-3/2)/k))/k**(-9)) assuming k is positive. k**(-4/5) Simplify m**1/(m/((m*m**6*m)/m))*(m*(m**10/m)/m)**(-17) assuming m is positive. m**(-146) Simplify (j**(1/3))**(-41)*(((j*((j*j*((j**9/j)/j)/j)/j)/j)/j)/j)/j*j*j*j**(-8/5) assuming j is positive. j**(-139/15) Simplify ((p**(1/3))**35*(p**(-1/2)*p)**(3/16))**36 assuming p is positive. p**(3387/8) Simplify (m*m*m**(1/2)/m*m*m)**(3/7)/(m**(-1/2)*(m**12/m)/m) assuming m is positive. m**(-8) Simplify (j*(j/j**2)/j)**(-8/11)*j**(-3/2)*j**13/j assuming j is positive. j**(247/22) Simplify (((k*k/(k/(k*k/(((k*k**0*k)/k)/k))))**(-21))**37)**(-6) assuming k is positive. k**13986 Simplify (h/(h/((h/(h/(h/(h*h*h**(-2/23)*h*h))*h*h)*h)/h))*h**(-3/5))/(h**5/h*(h/(h**(-2)*h))/h) assuming h is positive. h**(-1209/115) Simplify ((o*o*o*o/(o/((o**7*o)/o)))**(2/17))**(-30/13) assuming o is positive. o**(-600/221) Simplify t/t**4*t**(-9/5)*(t/(t**7*t))/(t/(t/(t/(t**(-2/31)/t*t)))) assuming t is positive. t**(-1994/155) Simplify g*g**(2/7)*(g*g/((g/(g/((g*g*g*g/g**(-17)*g)/g)))/g)*g)/g*g*g*(g**(-2/7))**(-41) assuming g is positive. g**(-3) Simplify p**(-1)/(p/p**(1/28)*p)*p**(-16/5)/((((p/(p**(-1/6)*p*p))/p)/p*p)/p) assuming p is positive. p**(-1399/420) Simplify (p*p/(p*p*p/p**21)*p**(2/3))**(1/10) assuming p is positive. p**(31/15) Simplify ((u/u**6)/u*u*u)**(-8)*u/((u**(2/7)/u)/u)*u/u**(-26) assuming u is positive. u**(432/7) Simplify ((l*l*l*(l*l*l/(((l**(1/4)*l)/l)/l*l))/l*l*l**5*l)**44)**(-24) assuming l is positive. l**(-12408) Simplify (((x/((x*x**1/x*x)/x)*x)**(9/7))**(-1/13))**(-46) assuming x is positive. x**(414/91) Simplify ((((z**(-4/5)*z)/z)/(z/z**(1/6)))**7)**11 assuming z is positive. z**(-3773/30) Simplify (k**(-3))**(2/93)/((k/k**6)/k**(5/3)) assuming k is positive. k**(614/93) Simplify (((l*l**(3/4))/(l/(l/((l/l**(-2/7))/l)*l)))/(l/(l*l**(2/3)*l))**(-2/19))**36 assuming l is positive. l**(10959/133) Simplify (((z/(z*z/(z*z**8/z*z*z*z)))/z**13)**(-17))**35 assuming z is positive. z**1785 Simplify ((t**(-1/7)*t**2)/(t**5/((t*t**(-3)/t*t)/t)))**9 assuming t is positive. t**(-387/7) Simplify ((q*q**(-8))/q)**(-14)*q/(q/q**16)*q**(-1/8)/q assuming q is positive. q**(1015/8) Simplify ((o/(o*o/o**(7/5)))/(o**(-21)/o))**(-36) assuming o is positive. o**(-4032/5) Simplify ((y*y*(y/(y/y**(-22)))/y*y)/y**8)/(y**(-5)*y)**(-1/7) assuming y is positive. y**(-200/7) Simplify (p*(p*p**3)/p)**0*(p/p**(-1))/(p**(-4/3)/p) assuming p is positive. p**(13/3) Simplify (t/t**(-2/3)*t*t)**(-3/
{ "pile_set_name": "DM Mathematics" }
1)) + -2. Suppose -2*p - t + 49 = 0, -4*p - r*t = -7*t - 63. Is p a composite number? True Suppose 5*h - 4*h - 55 = 0. Is h prime? False Suppose 27 = 6*i - 507. Is i composite? False Let r(a) = 2*a - 38*a**2 - 3*a + 4 - 3. Let c be r(1). Is c/((-5)/((-15)/(-6))) composite? False Let s(o) = -3*o - 8. Suppose 2*h - 5 - 5 = 0. Suppose -4*g = h*k + 11 + 18, 0 = -5*k - 2*g - 37. Is s(k) prime? True Let i = 25 - -7. Let n = 243 - i. Is n a prime number? True Let t(k) = -2*k - 7. Let i be t(-8). Let x(o) = o - 5. Let v be x(i). Suppose 0 = -v*l - 24 + 332. Is l composite? True Let c(x) = -94*x - 1. Is c(-1) prime? False Let m(u) = 63*u**2 + 2*u - 2. Is m(3) a composite number? False Is 6842/6 + (-24)/(-36) a composite number? True Let s(v) = -52*v + 5. Let m(l) = -5*l**2. Let i be m(1). Is s(i) composite? True Let k(i) = 2*i**3 + 2*i**2 + 5*i. Let u(q) = q**3 + q**2 - q - 1. Let z(d) = -k(d) - 3*u(d). Is z(-4) a composite number? False Suppose 2*d = -5*w - 17, -2*d + 5 + 18 = -3*w. Is 106/d*(5 - 3) a prime number? True Let n = 171 - 100. Is n a composite number? False Let b(g) = 3*g**2 - 2 + g**3 - 9*g**2 - g**2 + 5*g. Let m be b(4). Let o = m - -53. Is o composite? False Let o(w) = w + 12. Let i be o(-9). Suppose -11 - 13 = -i*l. Is 3*(l - 0) - 1 a composite number? False Suppose 0 = -0*b - 4*b + 8. Suppose 92 = 4*y - 2*t, -y + t - b*t + 17 = 0. Is y a prime number? False Let u(r) = r**3 + 3*r**2 + 2*r + 1. Let h be u(-6). Let n = h + 306. Is n a composite number? True Let s(k) = -k**3 + 7*k**2 + 2*k - 8. Let x be s(7). Suppose 2*r + 160 = x*r. Let a = -17 + r. Is a composite? False Suppose 3*z - 13 - 47 = -m, 4*m - 2*z = 198. Is m prime? False Let x = 114 + -37. Suppose -u + 4*a + 19 = 0, 2*u - 2*a + 7*a = x. Is u a prime number? True Suppose 2*u - 8 = 4*d, -4*d = 2*u - 13 - 3. Let h = 37 - u. Is h a prime number? True Suppose 0*j - 293 = -j. Is j composite? False Let k(l) be the third derivative of 299*l**4/24 - l**3/2 - 3*l**2. Let s be k(2). Suppose 4*a + a - s = 0. Is a a composite number? True Let y = -20 - -28. Is 29/2*y - 3 a composite number? False Suppose 2*g = -4*r + 5690, -2*g + r + 3174 = -2541. Is g prime? False Suppose 3*o = -4*q + 20, -5*q = -2*o - 4*q - 5. Suppose 5*d = -o*d + 115. Is d prime? True Let o(f) = -2*f + 59. Is o(0) composite? False Suppose -4*i = 1 - 21, 3*i - 30 = -3*q. Suppose q*f = f + 40. Suppose 4 = s + 4*z - f, s - 2*z - 8 = 0. Is s prime? False Let l = 847 + -554. Is l a prime number? True Let d(w) = 16*w**2 + 7*w - 1. Is d(8) prime? False Let g(x) = -6*x**3 - 7*x**2 - 5*x - 1. Is g(-4) prime? False Let f(y) = y. Let o(k) = -k**2 - 12*k - 2. Let j(w) = 6*f(w) + o(w). Let i be j(-5). Suppose 2 = -i*c + 4*r + 163, 277 = 5*c + 2*r. Is c prime? False Let q(d) be the first derivative of -d**2/2 + 10*d - 3. Let l be q(5). Suppose 4*u = -3*o + 373, -3*o - 2*u = -l*o + 230. Is o composite? True Suppose 9*f = 5*f + 16. Let o(i) = 6*i**3 - 7*i**2 + 5*i - 1. Is o(f) prime? False Let l = 240 + 13. Is l a prime number? False Suppose 1 = -i - a + 4*a, -i + 1 = -2*a. Suppose -1 = -4*n + 3*n, -o = -i*n - 30. Is o a prime number? False Let h(t) = 33*t**2 + 1. Let b be h(-1). Let u = -22 + b. Suppose -l = -u + 3. Is l prime? False Suppose -21 = i + 37. Let w = i + -84. Let c = 227 + w. Is c a composite number? True Let g(p) = -3*p**2 + 4*p + 3. Let b be g(-4). Let h = b + 116. Is h prime? False Is (22/4 + -3 - 3)*-1574 composite? False Is 1104/10 + 6/10 a composite number? True Suppose 5*o = 5*n - 6800, -3*n + 0*n - 4*o + 4101 = 0. Is n a prime number? False Let f(q) = 238*q**3 - 4*q + 5. Is f(2) composite? False Suppose -12*z + 9001 + 1931 = 0. Is z a composite number? False Let p be (-20)/(-15)*3/2. Suppose 0 = 2*u - n + 169, 8*u + p*n = 3*u - 445. Is ((-1)/(-1))/((-1)/u) prime? False Let l be -345*1 - 4/(-4). Let k = l + 142. Is 1/(-4) - k/8 a prime number? False Let s(v) = -10*v**3 + 7*v**2 + 20*v + 3. Is s(-8) prime? False Is (-595)/(-10)*(-6)/(-9)*3 a prime number? False Let n(i) = -3*i**3 + i**2 + i + 2. Let r be n(3). Let a(y) = -y**3 + 8*y**2 + 12*y - 1. Let s be a(9). Let z = s - r. Is z a prime number? False Let q(g) = g**2 - 6*g - 5. Let w be q(6). Let v be (8/(-10))/((-1)/w). Is 1/2 + (-218)/v composite? True Let a be (-1 - (1 + 11))/1. Let j(g) = -2*g**2 + 5*g + 2. Let w be j(3). Is 4*a/w - -1 prime? True Suppose 0 = 5*t - 2794 + 239. Let w = 208 + t. Suppose 0 = 5*a + 3*z - 949, w - 142 = 3*a - 2*z. Is a a composite number? False Let h(t) = -t**3 + 5*t**2 + 2*t + 1. Suppose 5*c = -3*r - 14, -4*r - 4*c = 17 - 1. Is h(r) composite? False Let i be 2/(0 - 1) - -46. Suppose 4*t = -5*x - 166 + 17, 0 = -5*x + 3*t - 142. Let z = x + i. Is z composite? True Suppose -5*f - 19 = -2*j + 9, 4*j + 4*f = 0. Suppose 3*c + 0*k - 3127 = k, -j*k + 5223 = 5*c. Is c prime? False Let s = 1253 + -586. Is s a composite number? True Let i(k) = 16*k + 9. Suppose 0*l - 5*c = -2*l + 3, -5*l - 4*c = -90. Suppose -p + l = p. Is i(p) a composite number? True Suppose -25 + 161 = 4*o. Suppose -3*y = -3*x - 48, -5*y - 1 + 51 = -3*x. Let i = o + x. Is i a composite number? False Suppose c - 34 = -3*c + 5*g, 4*c + 4*g - 52 = 0. Let x(v) = 21*v + 5. Let a(u) = 64*u + 14. Let q(h) = c*x(h) - 4*a(h). Is q(-6) a composite number? False Let i be (24/(-15))/(2/(-10)). Let n(j) = i*j + 3*j - 2*j. Is n(1) composite? True Suppose 31 = 2*n + 9. Suppose 2*i - 4*a - n = i, 2*i - 2*a = 34. Is i a composite number? False Suppose 4*t + 908 = 348. Let o = t + 259. Is o a composite number? True Is 9889/22 - 1/2 a composite number? False Suppose 14 = 4*z - 3*m + 6, 0 = -4*m. Let n = z + 1. Suppose -4*q + 219 = 5*d, -147 + 0 = -n*q + 2*d. Is q prime? False Suppose -5*j - 66 = -841. Suppose -3*f + j = 5*s - 125, -134 = -3*s + 5*f. Is s a prime number? True Suppose 0 = -4*y - 3*r + 23, -3*r + 2*r + 15 = 5*y. Let h(k) = 3 + 4*k**y - 5 + 2*k**2. Is h(2) a composite number? True Let r(k) = 4*k**3 + 8*k + 5. Is r(4) a prime number? True Suppose 283 = f + 46. Is f a prime number? False Let c(f) = 6*f + 17. Is c(7) a composite number? False Suppose 0 = 6*b + 2*b - 12968. Is b composite? False Let q(m) = -22*m**3 + m**2 + m - 1. Let f(x) = -x + 1. Let s be f(4). Is q(s) a composite number? False Let c(m) = 3*m**2 + 3*m - 3*m**2 + 2*m**2. Let f be c(-2). Suppose -f = -v + 5. Is v composite? False Let i = -149 - 28. Let x = 384 + i. Let w = -80 + x. Is w a composite number? False Suppose -k - k + 27 = -q, -3*k + 53 = -4*q. Let m be 7/(35/(-2))*-165. Let t = m + k. Is t prime? False Let z = 203 + 12. Suppose 0 = -5*t + 5*s + z, t - 2*s = -2*t + 125. Is t prime? False Suppose -u - 2*c - 1 = -3, 13 = 4*u + 3*c. Suppose -2*i + 8 = 0, u*i - 296 = -6*y + 2*y. Suppose -y - 23 = -3*r. Is r a prime number? True Let a(z) = -2*z. Let l be a(-2). Suppose -l*t = -3*j - 485, 3*t - 4*j - 250 = t. Is t a prime number? False Suppose -3*q + 2*v = -17, 2 = 3*q + v - 3. Is q a composite number? False Suppose -2*k + 80 = -w - 241, -5*k + 810 = 5*w. Suppose -k = -o + 2*a + 2*a, 4*o - 623 = -5*a. Is o composite? False Is 1740 + (5 + -3 - 7) a composite number? True Suppose 0 = b + 3*b - 612. Suppose -q = -4*q + b. Is q prime? False Suppose 0 = -0*c + 5*c. Suppose c*u + 341 = u. Is u composite? True Suppose -4*w + 7795 = -k, -3*w + 5*k = -2*w - 1944. Is w prime? True Let z be 52/16 - (-1)/(-4). Let d = -12 - z. Let h = d + 30. Is h prime? False Let z = 4 + 0. Suppose -2*p + 5*d - 25 = 0, 2 = 4*p + 3*d - 13. Suppose 124 = -p*t + z*t. Is t a prime number? True Suppose u + 22 - 213 = 0. Is u a prime number? True Let t(o) = -49*o**3 + 4*o**2 + 2*o - 2. Let j be t(-2). Suppose 5*c = 2*i - j, -c = -3*i + 4*c + 613. Is i composite? False Suppose -39 = -5*i - 2*b, i + 2*b - 5 - 6 = 0. Let a = i - 15. Is (-4)/a*22/1 a composite number? False Suppose 542 = 6*v - 436. Is v composite? False Suppose -3*z - 4*k - 3 = 0, 0*z + 2*k + 15 = 3*z. Suppose 64 = 4*c + z*f + f, c - 11 = 4*f. Is (-1)/(-2)*2*c a prime number? False Suppose 0 = -5*s - 130 - 35. Let f = 68 + s. Let y = f + -21. Is y a prime number? False Suppose 2*j + 23 = 3*m - 12, 3*j + 62 = -5*m. Let f = -8 - j. Suppose 4*a - 1 - f = 0. Is a a composite number? False Let g(b) = 8*b**2 + 3*b - 7. Let o(y) = -y**2 - y + 1. Let d(j) = g(j) + 5*o(j). Is d(9) a
{ "pile_set_name": "DM Mathematics" }
w) = -26*w + 1. Let v be x(-1). Let a(n) = 3*n**2 + 4*n + 6. Let f be a(-4). Let y = f - v. Calculate the remainder when 20 is divided by y. 9 Let k = -26 + 51. What is the remainder when k is divided by (1 - 2) + 28/2? 12 Let i = -103 + 145. What is the remainder when i is divided by 8/(-56) - (-1)/(21/318)? 12 Calculate the remainder when 492/5 - 32/80 is divided by 34. 30 Let l(m) = -17*m - 2. Let j(x) = x**3 + 7*x**2 - 4*x - 15. What is the remainder when l(-3) is divided by j(-7)? 10 Suppose -3*x + 72 = x. What is the remainder when x is divided by 5? 3 What is the remainder when (-1710)/(-36) + 2/(-4) is divided by 25? 22 Let x(w) = 8*w**2 - 2*w - 1. Let u be x(-1). Let q(r) = 3*r - 5. Calculate the remainder when (-98)/(u/3 + -5) is divided by q(6). 10 Calculate the remainder when 28 is divided by (-72)/(-7) + 4/(-14). 8 Let a = 4 + -5. Let d = a - -3. Suppose 3*m = -d*m + 10. What is the remainder when m is divided by 2? 0 Let r(b) = 4*b**2 + 2*b + 8. Let v be r(4). Let d = -39 + v. What is the remainder when d is divided by 11? 8 Suppose 0 = -z - h + 28, -z - 5*h - 180 = -6*z. What is the remainder when z is divided by 11? 10 Suppose -203 = -2*f + 43. Suppose 4*a = -23 + f. Suppose -11 = -w + 4*v + 14, -2*v - 19 = -w. What is the remainder when a is divided by w? 12 Suppose -23 = 4*f + 3*b - 71, 2*f = -5*b + 24. What is the remainder when 22 is divided by f? 10 Let d(s) = -s**2 - s + 40. Let o = 40 - 26. What is the remainder when d(0) is divided by o? 12 Let w be (-2 - 1 - -2)*-3. Suppose q - d - 5 = 0, 0*d = -4*q + w*d + 16. What is the remainder when 3 is divided by 2 + q + -4 + 2? 0 Calculate the remainder when 29 is divided by 12/(-6) + (-32)/(-4). 5 Let h = 5 + 14. Let z = 277 - 169. Suppose -6*n + 3*n + z = 0. What is the remainder when n is divided by h? 17 Let z = 25 - -23. Calculate the remainder when z is divided by 20. 8 Let y be 44*1 - (3 + -4). Suppose -4*o + y = o. What is the remainder when 16 is divided by o? 7 Let n = -137 + 194. Let c(i) = -i**3 + 12*i**2 + 31*i - 13. Calculate the remainder when n is divided by c(14). 28 Let z be 0*((-8)/6 + 1). Suppose 2*g - 110 = -2*k - z*g, 3*k = -2*g + 165. Calculate the remainder when k is divided by 29. 26 Suppose 5*m + 14 + 21 = 0. Suppose 2*p - 42 = -0*p + 4*w, 5*p - 3*w = 91. What is the remainder when p is divided by (-43)/m + (-2)/14? 5 Suppose -4*i = 6 - 2. Let v = 3 - i. Suppose 3*s - 2 = 25. Calculate the remainder when s is divided by v. 1 Suppose k + 6 + 4 = 0. Calculate the remainder when -5 + 6 + (-1 - k) is divided by 6. 4 Let m be 3/(9/12) + -2. Suppose m*z + 2 - 16 = 0. Suppose 2*x - 73 = z. What is the remainder when x is divided by 14? 12 Suppose -92 = -4*h - 5*f, h - f + 46 = 3*h. Suppose -2*a - 10 = -26. What is the remainder when h is divided by a? 7 Let f(r) = 3 - 5 + 4*r - 2. Let q be f(8). Suppose -2*u - d = -6*d - q, 0 = -4*u + 4*d + 44. Calculate the remainder when 25 is divided by u. 7 Suppose -32 - 45 = -f. What is the remainder when f is divided by 20? 17 Let j = -42 - -81. Calculate the remainder when 52 is divided by j. 13 Let m(b) = -4*b**3 - 1. Let r be m(-1). Suppose 0 = -0*x + r*x - 33. Calculate the remainder when x is divided by 3. 2 Suppose -3*p = 2*p. Suppose p = c + 2*l - 17, -c + l - 2 + 19 = 0. Let b(u) = 12*u**2 - 2*u - 2. Calculate the remainder when b(-2) is divided by c. 16 Suppose 0 = 4*i - 3*x - 3, 2*x + 1 = 3*i + x. Suppose -2*u - q - 2*q + 145 = 0, i = -2*u - 5*q + 139. What is the remainder when u is divided by 20? 17 Suppose 0 = 14*u - u - 416. Calculate the remainder when 89 is divided by u. 25 Let v = 5 - -4. What is the remainder when 19 + 0/(-5) - -5 is divided by v? 6 Let z(m) = m - 1. Let g = 0 - -10. Calculate the remainder when g is divided by z(5). 2 Let y(a) = -a + 5. Calculate the remainder when 14 is divided by y(-3). 6 Let a(f) = -f + 3. Let q be a(3). Suppose u - 4 = -q*u - m, -14 = -u + 4*m. Calculate the remainder when 22 is divided by u. 4 Let g be (-1)/(-4) + (-15)/(-4). Suppose g*s - 8 = 16. Suppose -4*u - s = -5*v - 6*u, 16 = 4*v - 4*u. What is the remainder when 2 is divided by v? 0 Let k(p) = 2*p + 80. Let s(f) = -2*f**2. Let x be s(-2). Let u = x + 13. Calculate the remainder when k(-36) is divided by u. 3 Suppose 4*b = -3*k - 59 + 286, -k - 3 = 0. Calculate the remainder when b is divided by 12. 11 Suppose -4*w - 3*r + 155 = 0, 7*r - 2*r + 15 = 0. Let t(v) = -v**2 + 10*v + 5. Calculate the remainder when w is divided by t(9). 13 Suppose -3 = n - 3*s, 3*s + 9 = 3*n - 12. Suppose -2*x = -0*x + y - n, 0 = -y - 4. Calculate the remainder when 22 is divided by x. 6 Suppose 0*k + 5*k = 25. Calculate the remainder when k is divided by (-3)/5*-5 + -5 + 5. 2 Suppose h = 6*h - 20. Calculate the remainder when 13 is divided by (h/6)/(4/30). 3 Calculate the remainder when 75 is divided by -1 - -1*(-3)/(3/(-14)). 10 What is the remainder when 21 is divided by (8/(-16))/((-1)/12)? 3 Suppose 0 = -3*g - 0*g - 12. Let u be (-2 - (2 - 5))/(-1). What is the remainder when 4 is divided by (g + 2 + 0)*u? 0 What is the remainder when (-5 - -2 - (-6 - -2))*75 is divided by 19? 18 Let r(q) = -2*q + 2. Let u be r(-4). Suppose -k - 3 = -0. Calculate the remainder when 38 is divided by (-10)/k*(u - 4). 18 Suppose 5*z = 5*l - 12 - 28, 24 = l + 3*z. Suppose 56 = 2*q - 3*q. Let d = q - -89. Calculate the remainder when d is divided by l. 9 Suppose 2*i - 10 = 28. What is the remainder when 75 is divided by i? 18 Let x(a) = a**3 - 4*a**2 + 3*a + 3. What is the remainder when 27 is divided by x(4)? 12 Let m(r) = r**3 + 6*r**2 + 7. Suppose 0 = d + 6 - 0. Calculate the remainder when m(d) is divided by 3. 1 Let l = -6 - -61. Let p = l + -38. Let d(w) = -w**3 - 14*w**2 + 15*w + 6. Calculate the remainder when p is divided by d(-15). 5 Let u(j) = 3*j - 2. What is the remainder when -2*(10/(-6))/(24/180) is divided by u(5)? 12 Let z(u) = 3*u**2 + 3*u - 1. Let k be z(4). Let y = 111 - k. What is the remainder when y is divided by 27? 25 Let p be 2 + -2 + 0 - -27. Suppose -4*r + r - p = 3*x, -4*x + 5*r - 63 = 0. Let u = -9 - x. Calculate the remainder when 9 is divided by u. 0 Suppose -4*i + i + 141 = 0. What is the remainder when i is divided by 8? 7 Suppose -3*w + 4*o + 285 = 2*w, -4*w + 228 = -2*o. Suppose 48 = 3*a + m, 2*m + 28 + 41 = 5*a. Calculate the remainder when w is divided by a. 12 Let r(n) = n**2 - n. Let u(x) = 2*x**2 - 10*x - 1. Let i(a) = -3*r(a) + u(a). Let q be i(-7). Calculate the remainder when 4 + 2/q - -21 is divided by 8. 7 Let k = -350 - -222. Calculate the remainder when 10/(-35) - k/7 is divided by 10. 8 Let n(p) = -p**3 - 12*p**2 - 13*p - 4. Let o be n(-11). Suppose -5*j = -3*k + 73, -3*k = -2*j - 76 + o. What is the remainder when 62 is divided by k? 14 Suppose 2*a - 28 = -3*q + 4*a, 5*q - a = 42. What is the remainder when 13 is divided by q? 5 Let c = 14 - 9. Suppose -5*f + 50 = -3*f - 4*p, p + c = 0. What is the remainder when 44 is divided by f? 14 Calculate the remainder when (-1)/(-3) - 120/(-18) is divided by 4/(-10) + 44/10. 3 What is the remainder when 3/2*(40 - 12) is divided by 15? 12 Let d(f) = 6*f**2 + 3*f. Suppose -t + 22 - 5 = 0. What is the remainder when d(2) is divided by t? 13 Let q = 33 + -26. Let o(z) = -z**3 - 2*z**2 - z + 1. What is the remainder when o(-3) is divided by q? 6 Let j(i) = i**2 - i + 2. Let a(v) = -5*v - 1. Let s be a(-6). Suppose -s = 2*f - 3*f + 5*g, -5*f - 4*g = -58. Calculate the remainder when f is divided by j(2). 2 Suppose 0 = 10*h - 266 - 114. What is the remainder when h is divided by 10? 8 Suppose -4 - 2 = -2*b, 4*f - b - 57 = 0. Suppose 3*p - 75 = -f. What is the remainder when 38 is divided by p? 18 Let g = 8 + -2. Let m be 884/7 + 22/(-77). What is the remainder when g is divided by m/33 + (-2)/(-11)? 2 Suppose -4*v + 0*b + 34 = b, -2*v = 2*b - 20. Let i = 11 + -7. Suppose -5*d = g - 5, -50 = -i*g - 11*d + 6*d. Calculate the remainder when g is divided by v. 7 Suppose -20 = 5*k, a - 11 = -2*k + 16. What is the remainder when a is divided by 19? 16 Let n(s) = -s**3 + 7*s**2 - 7*s + 7. Suppose h - 3*o = 9 + 2, 3*h = 2*o + 12. Calculate the remainder when h is divided by n(6). 0 Let c(z) = z**2 + 9*z - 9. What is the remainder when c(-11) is divided by 4? 1 Suppo
{ "pile_set_name": "DM Mathematics" }
2*l - 1. Calculate w(r). -10 Let c(u) = 24*u + 19*u - 60*u + 16*u. Suppose 0 = 4*l - a + 28, l - a = 4*a - 7. Give c(l). 7 Suppose -3 = h - 0, 11 = 4*m - 5*h. Let c(s) = 65*s**3 + 2*s**2 + 173*s - 8. Let t(r) = -22*r**3 - r**2 - 65*r + 3. Let a(l) = 3*c(l) + 8*t(l). Give a(m). -20 Suppose -9*n + 3*n + 3*n = 0, -3*l - 39 = 5*n. Let h(r) = 3*r + 20. Determine h(l). -19 Let g(c) be the first derivative of -43*c**2/2 + 216*c + 5353. Give g(5). 1 Let q(c) be the second derivative of c**5/20 - 5*c**4/12 - 4*c**3/3 + 7*c**2/2 - 2643*c. What is q(5)? -33 Let i(a) = a**3 + 8*a**2 + a - 7. Let t = 12864 + -12871. What is i(t)? 35 Suppose -299*k - 3875 = -144*k. Let q(i) = -i - 70. Determine q(k). -45 Suppose 3*v + 4 = -v. Let q(z) be the first derivative of -2*z**2 - 2*z - 13311. What is q(v)? 2 Let z(s) = s**2 + 8*s + 2. Let j be 8/(-10)*(7 - (8 + 429)). Let q = -350 + j. Calculate z(q). -10 Let x(w) = -50*w**2 + 133*w - 9. Let a(s) = -38*s**2 + 102*s - 7. Let c(p) = 13*a(p) - 10*x(p). Calculate c(5). 129 Let d(s) = s + 8. Let u(b) = -3*b**2 + 70*b + 28. Let y be u(14). Let f = y + -435. What is d(f)? -7 Let t(q) = -q**3 - 15*q**2 - 2*q - 27. Let l be (-1)/((-3)/(-48)) + 3*(-18)/(-54). Determine t(l). 3 Let a(k) be the first derivative of -7*k**2 - 79*k - 194. Determine a(-6). 5 Let a(y) = y**3 + 7*y**2 - 3. Let l(i) = i**3 - 67*i**2 - 356*i - 294. Let q be l(72). Give a(q). 33 Let l(i) = 22*i - 575. Let o be l(22). Suppose -5*d - 5*g = -425, 5 = 8*g - 3*g. Let y = d + o. Let z(p) = p + 2. Give z(y). -5 Let g(i) = -i**2 - 5*i + 6. Let c = -51 - -199. Let l = c + -153. Determine g(l). 6 Let a(b) = 12*b + 8. Let n = 10529 + -10528. What is a(n)? 20 Let l(o) = 8*o - 11. Let z(m) = -9*m + 9. Let v be 3/12 + (-133)/(-28). Let y(u) = v*z(u) + 6*l(u). Give y(9). 6 Let k(s) = 9*s - 25. Let a(n) = 23*n - 68. Let f(x) = -3*a(x) + 8*k(x). Let z = -5 - -8. Suppose 3*d = -5*b + 35, z*b = -b + 4*d - 4. Calculate f(b). 16 Let g(y) = -y**2 + 4*y + 2. Let m be 2/4*(3 + -5) + 4. Let k(p) = -p**3 + 4*p**2 - 5. Let z be k(m). Give g(z). 2 Let v(y) = 6*y**3 - 2*y**2 + 3*y - 1. Let l be v(1). Let j(q) = -596*q**2 - l*q + 296*q**2 - 3 + 299*q**2. Determine j(-8). -19 Suppose 5*u + 1595 = -115. Let r = u + 348. Let m(o) be the first derivative of -o**3/3 + 5*o**2/2 + 5*o - 1. Determine m(r). -1 Let j = -14 + 20. Suppose j*o - 9 = 21. Let a(c) = 2 - c + o*c - 2*c. Give a(-2). -2 Suppose 0 = -6*w + 8*w + 4*s - 12, 4*s = 4*w + 36. Let r(m) = -7*m**2 - 7*m - 18. What is r(w)? -102 Let m(b) = b**3 - 17*b**2 + 44*b - 22. Let p be 18/(-4)*3556/(-1143). What is m(p)? 6 Let c = -526 + 705. Let r(a) = a**2 - 8 - 369*a + 0*a**2 + c*a + 0*a**2 + 179*a. Give r(12). 4 Let h(b) = -b**3 + 8*b**2 - 1. Let w = -62 - -104. Suppose -5*k + w = 2*x, 3*x + 13 - 48 = -4*k. Calculate h(k). -1 Let x(v) = 5*v - 3*v - 1 + 0*v**2 + v**2. Suppose 30*c + 84 = 36*c. Let n = c - 16. Give x(n). -1 Let v(a) = a**3 + 26*a**2 + 130*a + 3. Let l be v(-7). Let b(o) be the second derivative of l*o - 2*o**2 + 2/3*o**3 + 0. What is b(3)? 8 Let k = -1734 + 1738. Let t(q) be the third derivative of 0 + 0*q**3 - 1/20*q**5 + 9*q**2 - 1/12*q**k + 0*q. What is t(-2)? -8 Let i = -10 - -3. Let q(o) = 7*o**2 + 14*o + 3. Let c(l) = l**2 + l. Suppose 7*p - 12 = -5. Let n(j) = p*q(j) - 6*c(j). Calculate n(i). -4 Let d(h) = h + 3. Let m(p) = -14*p - 37. Let v(y) = -4*d(y) - 2*m(y). What is v(-3)? -10 Let m(v) = v**2 + 7*v + 15. Let y(c) = 4*c**2 + 27*c + 65. Let l(s) = -9*m(s) + 2*y(s). Let h(g) = g**3 - 18*g**2 + 17*g - 9. Let u be h(17). Give l(u). -5 Let g(q) = 12*q - 76. Let o be g(7). Let c(d) = 11*d**2 - 4*d - 9. Let s(t) = -7*t**2 + 3*t + 5. Let v(x) = o*s(x) + 5*c(x). What is v(4)? -5 Let t be ((-1218)/812)/(3/(-4)). Let a(j) = -6*j + 10. What is a(t)? -2 Let s = 387 + -384. Let c(n) = -3*n - n + 1 + n + 0*n**s - n**3. Determine c(2). -13 Let d(n) = 11*n**3 + 3*n**2 - 20*n + 14. Let h(j) = 13*j**3 + 2*j**2 - 20*j + 16. Let v(c) = -6*d(c) + 5*h(c). What is v(-9)? -103 Let z(f) = 15*f - 47. Let d(x) = x**3 + 15*x**2 + 18*x + 275. Let g be d(-15). Determine z(g). 28 Let f be (4 + (3 - -2))*(-10 - -9). Let o be -4*6/(-36)*f. Let y(z) = z**3 + 7*z**2 + 8*z - 5. What is y(o)? -17 Let m(z) be the first derivative of z**3/3 + 4*z**2 - 10*z - 5. Let x(h) be the first derivative of m(h). Let v be x(-3). Let d(j) = 4*j - 2. Give d(v). 6 Let z(b) = -b**2 + 19*b + 90. Let w be z(-4). Let k(n) = -n**2 + 2 - 36*n + 0*n**2 + 65*n - 30*n. What is k(w)? 0 Let p = -157 - -176. Let f(g) = -8*g + 4*g - 18*g**3 - 7*g**2 + p*g**3. Give f(7). -28 Let i(d) = 6*d**2 - 6*d - 27. Let a(z) = 7*z**2 - 5*z - 29. Let r be 2/(-3 + -5)*(2 - 22). Let c(h) = r*a(h) - 6*i(h). Calculate c(12). 5 Let w(u) = 2*u**3 + 5*u**2 - 2. Let c(v) = 6*v**3 + 14*v**2 - 6. Let n(o) = 6*c(o) - 17*w(o). Let f be (8/(-50))/(124/(-1550)). Determine n(f). 10 Suppose x - 40 = -5*b - x, 5*b - 2*x = 20. Let k(j) be the second derivative of -j**3/3 + j**2/2 + 14974*j. What is k(b)? -11 Let w(z) = 8*z - 13. Let v(l) = -15*l + 24. Let k = -478 + 467. Let h(x) = k*w(x) - 6*v(x). What is h(-3)? -7 Let y(w) = 409 - 423 - 8*w + 8*w + w. Determine y(12). -2 Suppose 25*n - 19*n = -36. Let f = -16 + 18. Let q(s) = 101*s + f + 2 - 99*s. What is q(n)? -8 Let n = 126 - 120. Let x(z) = n - 5 + 4 - 1 + 2*z. What is x(-7)? -10 Let l(q) be the third derivative of 3*q**4/8 - q**3/2 - q**2 - 51. Let j be (-9)/(-2) - 17/34. Calculate l(j). 33 Let w(g) = g + 22. Suppose 1501*a - 448 = 1533*a. Determine w(a). 8 Suppose -3*z + 13*z = -369 + 479. Let q(t) = t**2 - 10*t - 5. Determine q(z). 6 Let i(r) be the third derivative of -r**7/840 - r**6/40 + r**5/12 + 5*r**4/12 - 53*r**3/2 + 75*r**2. Let c(z) be the first derivative of i(z). Calculate c(-10). 10 Let y(k) = k**3 + 6*k**2 + 3*k + 5. Let f be 2 + (-144)/(-45) - 1/5. Let h(l) = -l**3 + 6*l**2 - 8*l + 9. Let x be h(f). Give y(x). -13 Let i(o) be the third derivative of -o**5/60 + 2*o**4/3 - 47*o**3/6 - o**2 - 173*o. What is i(8)? 17 Let u(h) = h - 3*h**3 + 515*h**2 + 526*h**2 + 10 - 1044*h**2 + 0*h. Calculate u(3). -95 Let i(s) = 128*s - 36*s - 7 - 30*s - 35*s - 31*s. Determine i(-4). 9 Let b(n) = 11*n - 8 + 1 + n**2 + 31 - 14. What is b(-10)? 0 Let g(d) = 33*d + 227. Let m be g(-7). Let h(z) = z + 7 - 9 + 3 + 8. Determine h(m). 5 Let c(d) = -463*d**3 - 90*d**2 - 233*d + 936. Let f(n) = 25*n**3 + 5*n**2 + 13*n - 52. Let p(x) = -2*c(x) - 37*f(x). What is p(3)? -11 Let l(m) = 6*m**2 - 116*m + 129. Let y be l(18). Let i(d) = -d**2 - 13*d + 21. Give i(y). -9 Let i(p) = p**2 - 19*p + 39. Let s be ((-684)/(-19))/((-3)/(-32)). Suppose 0 = 15*m - 39*m + s. Calculate i(m). -9 Let o(g) = -5*g + 2. Suppose -6*a + 4*a = -5*c + 275, -2*a - 5*c - 245 = 0. Let k = a + 126. Give o(k). 22 Suppose -15 = -37*x + 34*x. Suppose x*g + 0 - 7 = -r, 4*r + 4*g - 12 = 0. Let v(n) = -n - 1 - 2 + r. Calculate v(4). -5 Let t = -43 - -41. Let q(v) = v + 2. Let w(u) = -3*u - 6. Let h(j) = -11*q(j) - 4*w(j). Determine h(t). 0 Let a(f) = -f**3 + 8*f**2 - 6*f + 2. Let s be a(7). Suppose -6*i = -s*i + 3. Let p(h) = 3*h. Give p(i). 3 Let q(p) = p**2 - 11*p + 22. Let k be (-3 - (-2)/(-2))*(-169)/26. Suppose -12 = 4*c, 0 = -4*w - 4*c - 2 + k. Give q(w). 4 Let r(g) = g**3 - 10*g**2 + 13*g + 21. Suppose -q + 29 = 4*a, -5*a + 9 = 5*q - 16. Let l be r(a). Let t(i) = -i**2 - 5*i - 2. Determine t(l). 4 Let o(r) be the first derivative of r**4/4 + 22*r**3/3 + 52*r**2 - 19*r - 5749. Give o(-15). -4 Let l(k) = -3*k. Suppose w + 6 = 27. Let b = -21 + w. Suppose b = -2*n - 4*n + 12. Give l(n). -6 Let a(y) be the first derivative of y**6/360 - y**5/24 - y**4/12 + 6*y**3 + 18. Let v(q) be the third derivative of a(q). Give v(7). 12 Let t(o) = -3*o - 15. Let n(m) = 4*m + 23. Let p be (1 - 3)/(2/(-5)). Let v(f) = p*n(f) + 7*t(f). Suppose 89 = 24*y - 127. Determine v(y). 1 Suppose 0 = -8*h + 10*z - 6*z - 76, -4*h - 5*z - 3 = 0. Let r(w) = w**3 + 6*w**2 - 6*w - 1. Determine r(h). -8 Let k(j) = -2*j - 22. Let a(l) = -l - 10. Let r(p) = 13*a(p) - 6*k(p). Let i(x) = -5*x + 7. Let n(f) = 3*i(f) - 12*r(f). Determine n(-7). 18 Let j(y) = y**3 - 4*y**2 - 6*y + 2. Let i(u) = u**3 - 2*u**2 + 2*u - 1. Let o be i(2). Suppose -n + 18 = -4*x, 4*x + 12 - 18 = -o*n. Give j(n). 38 Let x = 550 - 555. Let h be x + (-6)
{ "pile_set_name": "DM Mathematics" }
1391? y**3 - y**2 + 134*y - 129 What is the u'th term of 242, 484, 730, 980, 1234? 2*u**2 + 236*u + 4 What is the m'th term of 888, 889, 890, 891? m + 887 What is the j'th term of -24949, -24951, -24953, -24955, -24957, -24959? -2*j - 24947 What is the n'th term of 1294, 2586, 3878, 5170? 1292*n + 2 What is the i'th term of 5152, 5153, 5154, 5155, 5156? i + 5151 What is the p'th term of 4646, 4648, 4652, 4658, 4666, 4676? p**2 - p + 4646 What is the n'th term of 28, 24, 20, 16, 12? -4*n + 32 What is the g'th term of 326, 323, 312, 287, 242, 171, 68? -g**3 + 2*g**2 - 2*g + 327 What is the y'th term of -4, 0, 10, 26, 48, 76, 110? 3*y**2 - 5*y - 2 What is the w'th term of -43, -62, -79, -94, -107? w**2 - 22*w - 22 What is the d'th term of -181, -350, -529, -724, -941, -1186? -d**3 + d**2 - 165*d - 16 What is the z'th term of 12, 25, 56, 111, 196, 317? z**3 + 3*z**2 - 3*z + 11 What is the w'th term of -13, -37, -57, -73, -85? 2*w**2 - 30*w + 15 What is the i'th term of -64, -58, -52? 6*i - 70 What is the g'th term of -4, 23, 100, 251, 500? 4*g**3 + g**2 - 4*g - 5 What is the h'th term of 22, 44, 46, 22, -34? -h**3 - 4*h**2 + 41*h - 14 What is the t'th term of -61, -122, -197, -292, -413, -566? -t**3 - t**2 - 51*t - 8 What is the z'th term of -2910, -2907, -2894, -2865, -2814, -2735, -2622, -2469? z**3 - z**2 - z - 2909 What is the g'th term of 2026, 4049, 6072? 2023*g + 3 What is the d'th term of -613, -615, -617, -619, -621? -2*d - 611 What is the b'th term of 214, 219, 224? 5*b + 209 What is the r'th term of -1442, -1447, -1452, -1457, -1462, -1467? -5*r - 1437 What is the v'th term of -58, -137, -218, -301, -386? -v**2 - 76*v + 19 What is the h'th term of -315, -609, -903, -1197, -1491, -1785? -294*h - 21 What is the q'th term of -60, -111, -160, -213, -276, -355, -456? -q**3 + 7*q**2 - 65*q - 1 What is the y'th term of -214, -344, -474? -130*y - 84 What is the o'th term of 14, 25, 34, 35, 22? -o**3 + 5*o**2 + 3*o + 7 What is the j'th term of -250, -497, -744, -991, -1238, -1485? -247*j - 3 What is the k'th term of -7, 0, 17, 44, 81? 5*k**2 - 8*k - 4 What is the y'th term of -678, -700, -752, -846, -994, -1208? -2*y**3 - 3*y**2 + y - 674 What is the o'th term of 198, 409, 608, 789, 946, 1073? -o**3 + 218*o - 19 What is the f'th term of 1589, 3181, 4773, 6365? 1592*f - 3 What is the p'th term of -152, -146, -140, -134? 6*p - 158 What is the l'th term of -1580, -1554, -1510, -1448, -1368, -1270, -1154? 9*l**2 - l - 1588 What is the p'th term of -1020, -1016, -1002, -972, -920, -840, -726? p**3 - p**2 - 1020 What is the u'th term of -160, -326, -494, -664, -836, -1010, -1186? -u**2 - 163*u + 4 What is the g'th term of 621, 1239, 1865, 2505, 3165? g**3 - 2*g**2 + 617*g + 5 What is the b'th term of 90, 175, 260? 85*b + 5 What is the o'th term of 245, 249, 253, 257, 261? 4*o + 241 What is the t'th term of -106, -211, -340, -505, -718, -991, -1336, -1765? -2*t**3 - 91*t - 13 What is the o'th term of -12, -30, -48, -66? -18*o + 6 What is the x'th term of -45, -134, -275, -468, -713, -1010? -26*x**2 - 11*x - 8 What is the n'th term of 0, -1, -2? -n + 1 What is the n'th term of 20, 20, 8, -22, -76? -n**3 + 7*n + 14 What is the j'th term of -81, -174, -269, -366, -465, -566, -669? -j**2 - 90*j + 10 What is the f'th term of 107, 456, 1033, 1832, 2847, 4072, 5501, 7128? -f**3 + 120*f**2 - 4*f - 8 What is the v'th term of 19, 34, 45, 52, 55, 54? -2*v**2 + 21*v What is the k'th term of -140, -136, -130, -122, -112? k**2 + k - 142 What is the s'th term of 33, 128, 283, 498, 773? 30*s**2 + 5*s - 2 What is the j'th term of 20, 12, -26, -112, -264, -500, -838, -1296? -3*j**3 + 3*j**2 + 4*j + 16 What is the w'th term of -597, -590, -585, -582, -581, -582, -585? -w**2 + 10*w - 606 What is the t'th term of 43, 50, 61, 76? 2*t**2 + t + 40 What is the h'th term of -362, -366, -372, -380? -h**2 - h - 360 What is the p'th term of -36, -90, -168, -270, -396? -12*p**2 - 18*p - 6 What is the h'th term of -6, -12, -18, -24, -30, -36? -6*h What is the h'th term of -28, -170, -560, -1324, -2588, -4478, -7120? -21*h**3 + 2*h**2 - h - 8 What is the u'th term of -89, -173, -243, -293, -317, -309? u**3 + u**2 - 94*u + 3 What is the c'th term of -5522, -5521, -5520, -5519, -5518, -5517? c - 5523 What is the l'th term of 2, 99, 364, 881, 1734? 14*l**3 - l - 11 What is the v'th term of 57, 118, 183, 252? 2*v**2 + 55*v What is the u'th term of 10, 46, 92, 154, 238, 350, 496? u**3 - u**2 + 32*u - 22 What is the p'th term of 563, 1119, 1653, 2153, 2607, 3003, 3329? -2*p**3 + p**2 + 567*p - 3 What is the x'th term of -846, -3376, -7592, -13494, -21082, -30356? -843*x**2 - x - 2 What is the p'th term of -8, 59, 124, 187, 248, 307, 364? -p**2 + 70*p - 77 What is the g'th term of -749, -746, -741, -734, -725, -714, -701? g**2 - 750 What is the r'th term of -9, -27, -59, -105, -165, -239? -7*r**2 + 3*r - 5 What is the z'th term of -4102, -4103, -4104, -4105, -4106? -z - 4101 What is the d'th term of 23, 57, 91? 34*d - 11 What is the l'th term of -19, -40, -67, -100, -139, -184? -3*l**2 - 12*l - 4 What is the r'th term of 35, 132, 303, 554, 891? r**3 + 31*r**2 - 3*r + 6 What is the m'th term of 7, 29, 73, 145, 251, 397? m**3 + 5*m**2 + 1 What is the h'th term of -357, -408, -459, -510, -561? -51*h - 306 What is the j'th term of -1475, -2950, -4425, -5900, -7375? -1475*j What is the j'th term of -3335, -6673, -10013, -13355, -16699? -j**2 - 3335*j + 1 What is the v'th term of -15, -26, -41, -60, -83, -110? -2*v**2 - 5*v - 8 What is the b'th term of -785, -1571, -2357, -3143, -3929, -4715? -786*b + 1 What is the t'th term of -3, -4, -5, -6? -t - 2 What is the r'th term of 335, 325, 309, 287, 259, 225, 185? -3*r**2 - r + 339 What is the v'th term of -1076, -4280, -9618, -17090, -26696, -38436, -52310? -1067*v**2 - 3*v - 6 What is the i'th term of -197, -196, -195, -194, -193? i - 198 What is the s'th term of -3, 78, 205, 372, 573, 802, 1053? -s**3 + 29*s**2 + s - 32 What is the w'th term of 4, -5, -14, -23, -32, -41? -9*w + 13 What is the j'th term of -40, -46, -60, -88, -136, -210, -316, -460? -j**3 + 2*j**2 - 5*j - 36 What is the w'th term of -293, -536, -779, -1022? -243*w - 50 What is the n'th term of -57, -83, -125, -183? -8*n**2 - 2*n - 47 What is the s'th term of -81, -50, 3, 78, 175? 11*s**2 - 2*s - 90 What is the w'th term of -7898, -7901, -7906, -7913, -7922, -7933? -w**2 - 7897 What is the u'th term of -62, -116, -168, -218? u**2 - 57*u - 6 What is the v'th term of -229, -224, -219, -214, -209, -204? 5*v - 234 What is the w'th term of 449, 898, 1349, 1802? w**2 + 446*w + 2 What is the n'th term of -10, -12, -24, -52, -102? -n**3 + n**2 + 2*n - 12 What is the k'th term of 37, 51, 79, 127, 201, 307, 451, 639? k**3 + k**2 + 4*k + 31 What is the p'th term of -1193, -1194, -1195, -1196? -p - 1192 What is the i'th term of 53, 103, 153, 203, 253? 50*i + 3 What is the k'th term of 23, 110, 265, 494, 803, 1198, 1685? k**3 + 28*k**2 - 4*k - 2 What is the u'th term of 29, 46, 87, 164, 289, 474, 731? 2*u**3 + 3*u + 24 What is the k'th term of 2667, 2673, 2679? 6*k + 2661 What is the a'th term of -1095, -1096, -1097, -1098, -1099? -a - 1094 What is the i'th term of -4, -16, -36, -64, -100, -144? -4*i**2 What is the b'th term of -939, -938, -937, -936, -935, -934? b - 940 What is the d'th term of -49, -91, -133, -175? -42*d - 7 What is the w'th term of -35, -59, -85, -113, -143, -175, -209? -w**2 - 21*w - 13 What is the d'th term of 151, 304, 457, 610, 763? 153*d - 2 What is the z'th term of -9, -12, -15, -18? -3*z - 6 What is the k'th term of -7428, -7424, -7418, -7410? k**2 + k - 7430 What is the s'th term of -349, -347, -335, -307, -257, -179? s**3 - s**2 - 2*s - 347 What is the j'th term of 0, 8, 26, 54, 92? 5*j**2 - 7*j + 2 What is the m'th term of -12, -59, -142, -261, -416? -18*m**2 + 7*m - 1 What is the a'th term of 157, 169, 187, 211, 241, 277? 3*a**2 + 3*a + 151 What is the z'th term of 0, -10, -36, -84, -160, -270, -420, -616? -z**3 - 2*z**2 + 3*z What is the n'th term of 782, 779, 766, 737, 686? -n**3 + n**2 + n + 781 What is the k'th term of -42, -40, -40, -42, -46, -52? -k**2 + 5*k - 46 What is the a'th term of 52, 42, 32? -10*a + 62 What is the m'th term of 27, 32, 41, 54, 71,
{ "pile_set_name": "DM Mathematics" }
5)*(1 + 0 + 2)*(1 - 1 - 3*b**2) in the form v*b + l*b**2 + j and give l. -9 Rearrange 1 - 15*q + q**3 + 14*q - q**4 + 0*q**2 - q**2 to o + i*q + f*q**4 + w*q**3 + h*q**2 and give f. -1 Express (3 + 1 - 3)*(2*f - 5*f + 4*f)*(922 + 1046 - 2097) as u*f + k and give u. -129 Express (0*x**2 - 2*x**2 + 0*x**2)*(13 - 7 - x**2 - x**2) as b + t*x**2 + v*x**3 + n*x + z*x**4 and give t. -12 Express (90 - 2 + 0)*(2*g - 2*g + 3*g) + (5 - 4 + 0)*(-2 - g + 2) in the form r + w*g and give r. 0 Express -8*c + 4*c - 2*c + 0*c as h + p*c and give p. -6 Rearrange -4*o**4 + 4*o**4 - 623*o - 2*o**4 - 2*o**3 + 625*o to the form r*o**4 + k*o**3 + i*o**2 + p + h*o and give h. 2 Express (0*t + 2*t - 3*t)*(2 + 0 - 5) + (0 + 2 + 2)*(-t + 2*t - 2*t) as h + k*t and give k. -1 Express -3 - 19*i**3 + 31*i**3 - 15*i**3 + (-1 + 1 + i**3)*(-2 - 1 + 2) as d + f*i**3 + v*i + b*i**2 and give d. -3 Rearrange 1 + 10*q + 1 + 0 + 33*q to the form t*q + d and give d. 2 Rearrange 8 - 15 + 2*b**2 - 4*b - 15 + 5*b to the form w*b**2 + j + u*b and give j. -22 Express -16213 + 16213 + 131*g in the form z + n*g and give n. 131 Express 11*d**2 + 2*d - 13*d**2 + 4*d**3 + 3*d as l + c*d**3 + n*d**2 + v*d and give n. -2 Express -26*l - 3*l**3 + 16*l + 7*l in the form n*l + q + j*l**3 + x*l**2 and give j. -3 Express 0 + 2 + 2*l**3 - 9*l**3 + 0 - l**2 as b*l**3 + y*l**2 + o + n*l and give y. -1 Rearrange -y**2 + 2*y**3 + y**2 + 2 + y**3 - 2 + (4*y - 2*y - y)*(14*y**2 + 7*y - 7*y) to the form l*y**3 + s*y**2 + k*y + i and give l. 17 Express (3 + 2 + 8)*(-2*q + 0 + 0)*(-2*q - 2*q**2 + 2*q) in the form p*q**2 + s*q + o + l*q**3 and give o. 0 Express 3*l - l + 3*l - 3*l in the form n*l + x and give n. 2 Express -z + 4*z**2 - 1 + 1 + 2 + z**3 + 5*z**2 in the form m*z**2 + i*z**3 + a + b*z and give i. 1 Rearrange 1 + 1 + 2*p + 2 + (0 + 1 + 1)*(p + 0*p + p) + p - p + 2*p - 4*p + 2*p + p to w*p + t and give w. 7 Rearrange (0 + 0 + 2)*((2*g - 3*g - 7*g)*(-5*g + 3 - 3) - g**2 - 1 + 1) to k*g + o*g**2 + a and give o. 78 Express -21*j + 15*j + 18*j**2 + 6*j as w*j + r*j**2 + b and give r. 18 Express (25 - 16 - 12)*(1 + 5 - 3)*(0*p + 1 - 4*p + 2*p) in the form k + a*p and give k. -9 Express h - 3 + 3 + (h + 0*h - 2*h)*(-3 + 2 + 3) + (-4 + 2 + 0 + (3 - 1 - 4)*(-3 + 1 + 3) - 6 + 4 + 3 + 0 + 0 - 2)*(-2*h + 0 + 0) as r*h + y and give r. 9 Rearrange -n**4 + 4 + 4*n - 4*n**2 - 3*n - 4 to the form r + k*n + q*n**4 + m*n**3 + f*n**2 and give k. 1 Rearrange 2*o**3 + 13*o**4 - 5*o - o**4 + 2*o + 0*o**4 to s + j*o + m*o**2 + h*o**3 + g*o**4 and give h. 2 Express (5 - 4 - 3)*(5 + 2*s - 5) - 2*s - 2*s + 3*s + (-2*s + 3*s + 0*s - 2)*(0 - 3 - 2) as f*s + t and give t. 10 Express 2*d**3 - 12*d**3 - 7*d + 3*d**3 + 2*d**3 + 2*d**2 as h*d**3 + g*d**2 + v + b*d and give b. -7 Express -6*f + 6*f + 4*f**2 + (-2*f - f + f + 2)*(0*f + 4*f - 3*f) as l*f**2 + p*f + r and give l. 2 Express 1 + 2*b - 1 + b - 2*b - b + (4*b - b - b)*(1 + 0 - 2) - 2 + 2 - b - 5*b + 10*b + 12*b as t + f*b and give f. 14 Rearrange 2*u**3 - 5 + 5 + 1 - 4*u**2 + u**2 to k*u**3 + q*u + f + j*u**2 and give k. 2 Rearrange (5 - 5 - 6*a)*(-2*a + 2*a + 2*a) - 10 + 11*a**2 + 10 to the form i*a + g*a**2 + n and give n. 0 Express t + 2*t + 2*t in the form x + n*t and give n. 5 Express (2 - 5*t - 2)*(0 + 1 + 1) + (3 - 4 - 1)*(6*t + 0*t - 4*t) + 7 - 7 + 10*t + 3 + 2*t - 3 as v*t + x and give v. -2 Rearrange (2*s**3 - s**4 - 2*s**3)*(-1 - 1 + 3) + 0*s + 0*s + 2*s**4 - 3*s**4 - 5*s**4 - 2*s**4 to the form h*s**2 + c*s**3 + q*s + a + f*s**4 and give q. 0 Express 5*y**4 + 3*y - y**4 + 2*y**2 - 2*y**3 - 2*y**4 - y in the form k*y**2 + s*y + j*y**4 + h*y**3 + q and give j. 2 Rearrange 3*y**4 + 2*y + 2*y**2 + 2 + 4*y**4 - 3*y**2 to d*y**3 + h + q*y**2 + j*y**4 + o*y and give h. 2 Express (-3*t**3 + 4*t**3 - 2*t**3)*(3*t - 3*t - 2*t) - 2*t + 121*t**4 - t**2 + 115*t**4 - 243*t**4 as k*t + n*t**3 + v*t**4 + z*t**2 + b and give z. -1 Express (-3*h + 2*h - 2*h)*(4 - 16 - 2)*(-3*h + 2*h - h)*(-3 - 2*h + 3) in the form n + y*h + j*h**2 + r*h**3 and give r. 168 Express 3 + 4 - 7 + 37*w in the form o + l*w and give l. 37 Express -f**2 - 3 + 3*f**2 + 3 as w + x*f + r*f**2 and give r. 2 Rearrange 15*v - 2*v**2 + v**4 - v**3 - 15*v + 3*v**2 to x*v**3 + w + c*v**2 + u*v + z*v**4 and give x. -1 Rearrange (23*s + 7*s - 4*s)*(-2*s + 2*s + 0*s**2 - s**2) to b + a*s + q*s**3 + t*s**2 and give q. -26 Express -942 + 155*m + 942 as p*m + s and give p. 155 Rearrange -4*y + 4*y + 3*y + y - 2*y - y + (3*y + y - 2*y)*(0 - 6 + 4) - y + 0*y - y - 4 + 4 + y - 4*y + y + 5*y to v + d*y and give d. -2 Express (9*h - 9*h - 11*h**2)*(3*h + 0*h - 2*h)*(5 - 1 - 3)*(1 + 2 - 4) in the form g + u*h + z*h**2 + q*h**3 and give q. 11 Express 60*i**2 + 43 - 11*i**2 - 43 as d + b*i**2 + y*i and give b. 49 Rearrange -4*i**2 - 9*i**3 + 4*i**2 + (-4*i + i + 2*i)*(-i**2 + 5*i**2 + 3*i**2) to b*i**2 + c*i + x*i**3 + u and give x. -16 Rearrange w + 15*w**3 + 2 - 1 - 16*w**3 - 3*w**2 - 5*w to the form k*w**2 + r + u*w + g*w**3 and give r. 1 Rearrange 3*w + 2*w**4 - 5*w - 13 - 2*w**3 - 5*w**2 + 11 to m + v*w + u*w**3 + j*w**4 + r*w**2 and give v. -2 Rearrange 36*p - 33*p - 184*p to h + a*p and give a. -181 Express 35 - 457*q + 915*q - 455*q + q**2 + (0*q + 0*q + 2*q)*(1 - q - 1) as z*q + r*q**2 + h and give r. -1 Express -30 + 2*m**2 + 4*m**4 + 29 - 2*m**4 as o*m + n*m**2 + b + h*m**4 + s*m**3 and give b. -1 Express (n - 6*n + 2*n)*(4 - 4 - n) + (3*n + 0 - 1 - 2*n)*(18 + 21*n - 18) as y*n + z*n**2 + r and give z. 24 Rearrange 7*h**4 - 3*h**3 - 2 + 7*h**4 - 3*h - 12*h**4 to y*h**2 + q + t*h**3 + a*h + d*h**4 and give q. -2 Rearrange 3*k - 4*k + 96*k**2 + k to the form z*k + d*k**2 + r and give d. 96 Express 2*u - u + 11 - 31 in the form d*u + n and give n. -20 Express -3*s**3 - 19*s + 19*s + (3*s + s - 2*s)*(0*s**2 + 2*s**2 + s**2) as g*s**3 + z*s**2 + p + x*s and give g. 3 Express 14 - 36 - 26*g**2 + 22 as i + h*g + o*g**2 and give o. -26 Express 10*y**3 - 8*y**3 + 3*y**2 - 4*y**2 in the form u + v*y**3 + z*y + l*y**2 and give l. -1 Express (34 + 30 - 61 + 31*q)*(-5 + 5 + q) in the form w*q + b*q**2 + m and give b. 31 Rearrange 2*q - 6*q - 19 + q**2 + 21 to the form j*q**2 + y + g*q and give j. 1 Rearrange (-6 + 4 + 1)*(2 + 2 - 3*q**2 - 2) to z + c*q**2 + i*q and give z. -2 Rearrange t**2 - 6*t - 17*t - t**3 + t**3 - 2*t**3 to l*t + a*t**2 + n + r*t**3 and give r. -2 Express (n - 2*n - n)*(1 - 2 - 1)*(-1 + 0 - 3 + (-4 - 1 + 4)*(-2 - 3 + 4)) as h*n + j and give h. -12 Express 537*f**2 + 2*f - 537*f**2 - f**3 as j*f**3 + x + t*f**2 + q*f and give q. 2 Rearrange (-2*d - d + 2*d)*(-1 + 3*d**2 + 1)*(1 + 0 + 2) to the form m + l*d**2 + z*d + c*d**3 and give c. -9 Rearrange (t + 0*t + 0*t)*(3*t + 8*t**3 + 0*t + 2*t**2 - 5*t) to q*t + a + v*t**3 + w*t**2 + i*t**4 and give q. 0 Express -37 + 12*g + 8*g - 33*g + 11*g in the form y*g + i and give i. -37 Rearrange 3*z - 58*z**3 + 56*z**3 - z - 2*z**4 - 2*z**2 to the form p*z + v + x*z**3 + a*z**4 + t*z**2 and give p. 2 Express (-5 + 2 + 2)*(-a - 18 + 41 - 28) in the form j*a + l and give j. 1 Rearrange 6*t**2 + 5*t**4 - 6*t**2 - 2*t**4 - 6*t**4 - 5*t**4 + (2*t - 2*t - 2*t)*(0 + 0 + 2*t**3) to the form j + a*t**2 + n*t + v*t**3 + m*t**4 and give m. -12 Express 0*b**2 + 0 + 0 + b**2 as l + s*b**2 + r*b and give s. 1 Rearrange (8*y - 2*y - y)*(-4*y**2 + 4*y**2 - y**2) + 0 + 2*y**3 + 0 to the form a + c*y**2 + t*y**3 + g*y and give t. -3 Express -5*i + i - 2*i as d + l*i and give l. -6 Rearrange -2 + 2 + w - 49*w to g + h*w and give g. 0 Rearrange -44*g**2 - 3*g**2 + 17*g**2 to the form t + h*g**2 + a*g and give h. -30 Express -2*z - 4*z + 6*z - 16*z**2 in the form w*z**2 + n + g*z and give w. -16 Rearrange 2 - 2 - 2*c**2 - 11*c**2 + 33*c**2 - 3*c**2 - 5*c**2 + 2*c**2 + c**2 + (-3*c - c + 2*c)*(-c + 4*c - 2*c) to the form y + a*c + s*c**2 and give s. 13 Express -l**2 - 3*l**2 + 2*l**2 + (-1 + 1 + 2*l)*(0*l + 0*l - 2*l) + l**2 - 4*l + 4*l + 3*l**2 + 4*l**2 + l - 3*l**2 in the form c*l**2 + r + d*l and give c. -1 Rearrange (x**2 - 16*x - 6*x**2 + 15*x)*(-4*x + 3*x + 4*x) to the form j + q*x**3 + l*x + p*x**2 and give q. -15 Rearrange (-3*b + 6*b - b)*(1 + 0 + 0) - b - b + 4*b + 7*b - b + 3*b to y + d*b and give y. 0 Express -2 + 13*g**3 + g**2 - 14*g**3 - 6*g**2 as q*g + u*g**3 + r + p*g**
{ "pile_set_name": "DM Mathematics" }
the fifth root of 71609 to the nearest integer? 9 What is the cube root of 17468 to the nearest integer? 26 What is the cube root of 125332 to the nearest integer? 50 What is the cube root of 24352 to the nearest integer? 29 What is 752 to the power of 1/8, to the nearest integer? 2 What is the fourth root of 12107 to the nearest integer? 10 What is the cube root of 363 to the nearest integer? 7 What is 33173 to the power of 1/8, to the nearest integer? 4 What is 29325 to the power of 1/2, to the nearest integer? 171 What is the fourth root of 19637 to the nearest integer? 12 What is the seventh root of 1688 to the nearest integer? 3 What is 60681 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 2472 to the nearest integer? 3 What is the sixth root of 4921 to the nearest integer? 4 What is the square root of 6197 to the nearest integer? 79 What is the cube root of 521 to the nearest integer? 8 What is 373 to the power of 1/2, to the nearest integer? 19 What is the cube root of 2856 to the nearest integer? 14 What is the third root of 1484 to the nearest integer? 11 What is 2091 to the power of 1/2, to the nearest integer? 46 What is 5191 to the power of 1/10, to the nearest integer? 2 What is 1986 to the power of 1/2, to the nearest integer? 45 What is 84759 to the power of 1/4, to the nearest integer? 17 What is 24877 to the power of 1/8, to the nearest integer? 4 What is the cube root of 22524 to the nearest integer? 28 What is 8428 to the power of 1/3, to the nearest integer? 20 What is the seventh root of 1021 to the nearest integer? 3 What is the cube root of 16943 to the nearest integer? 26 What is the cube root of 39552 to the nearest integer? 34 What is 1028 to the power of 1/5, to the nearest integer? 4 What is 5472 to the power of 1/9, to the nearest integer? 3 What is 11921 to the power of 1/2, to the nearest integer? 109 What is the cube root of 11444 to the nearest integer? 23 What is 10672 to the power of 1/7, to the nearest integer? 4 What is the square root of 6984 to the nearest integer? 84 What is 1254 to the power of 1/7, to the nearest integer? 3 What is 16433 to the power of 1/2, to the nearest integer? 128 What is 5162 to the power of 1/2, to the nearest integer? 72 What is the square root of 3058 to the nearest integer? 55 What is 3218 to the power of 1/5, to the nearest integer? 5 What is 2435 to the power of 1/3, to the nearest integer? 13 What is the third root of 2650 to the nearest integer? 14 What is the seventh root of 688 to the nearest integer? 3 What is 4103 to the power of 1/2, to the nearest integer? 64 What is the cube root of 11356 to the nearest integer? 22 What is the seventh root of 3741 to the nearest integer? 3 What is the eighth root of 9456 to the nearest integer? 3 What is the ninth root of 11397 to the nearest integer? 3 What is 7694 to the power of 1/2, to the nearest integer? 88 What is the sixth root of 10172 to the nearest integer? 5 What is the cube root of 18461 to the nearest integer? 26 What is 8834 to the power of 1/2, to the nearest integer? 94 What is 22193 to the power of 1/7, to the nearest integer? 4 What is the cube root of 6218 to the nearest integer? 18 What is the ninth root of 6104 to the nearest integer? 3 What is 8036 to the power of 1/3, to the nearest integer? 20 What is the square root of 149 to the nearest integer? 12 What is the square root of 7206 to the nearest integer? 85 What is the third root of 4212 to the nearest integer? 16 What is 928 to the power of 1/8, to the nearest integer? 2 What is the square root of 4994 to the nearest integer? 71 What is 33579 to the power of 1/2, to the nearest integer? 183 What is 1413 to the power of 1/2, to the nearest integer? 38 What is the cube root of 66050 to the nearest integer? 40 What is the tenth root of 12198 to the nearest integer? 3 What is the third root of 330 to the nearest integer? 7 What is 5011 to the power of 1/2, to the nearest integer? 71 What is 819 to the power of 1/2, to the nearest integer? 29 What is 3964 to the power of 1/3, to the nearest integer? 16 What is 8452 to the power of 1/7, to the nearest integer? 4 What is 10363 to the power of 1/6, to the nearest integer? 5 What is the square root of 769 to the nearest integer? 28 What is the cube root of 29977 to the nearest integer? 31 What is the square root of 173752 to the nearest integer? 417 What is the square root of 333 to the nearest integer? 18 What is 447 to the power of 1/6, to the nearest integer? 3 What is 727 to the power of 1/5, to the nearest integer? 4 What is the square root of 10651 to the nearest integer? 103 What is the square root of 8587 to the nearest integer? 93 What is 601 to the power of 1/3, to the nearest integer? 8 What is the third root of 1089 to the nearest integer? 10 What is 1640 to the power of 1/5, to the nearest integer? 4 What is 1648 to the power of 1/2, to the nearest integer? 41 What is 91014 to the power of 1/2, to the nearest integer? 302 What is the third root of 1814 to the nearest integer? 12 What is 3222 to the power of 1/7, to the nearest integer? 3 What is the fourth root of 42587 to the nearest integer? 14 What is the fifth root of 334 to the nearest integer? 3 What is the square root of 2229 to the nearest integer? 47 What is 701 to the power of 1/3, to the nearest integer? 9 What is the third root of 53326 to the nearest integer? 38 What is the cube root of 8701 to the nearest integer? 21 What is the square root of 11671 to the nearest integer? 108 What is 13501 to the power of 1/2, to the nearest integer? 116 What is the square root of 96692 to the nearest integer? 311 What is 4599 to the power of 1/5, to the nearest integer? 5 What is 1725 to the power of 1/2, to the nearest integer? 42 What is 2276 to the power of 1/2, to the nearest integer? 48 What is the tenth root of 33973 to the nearest integer? 3 What is 1386 to the power of 1/3, to the nearest integer? 11 What is the tenth root of 3150 to the nearest integer? 2 What is the seventh root of 1515 to the nearest integer? 3 What is 14308 to the power of 1/2, to the nearest integer? 120 What is the cube root of 4139 to the nearest integer? 16 What is the square root of 47797 to the nearest integer? 219 What is the fifth root of 10754 to the nearest integer? 6 What is 1178 to the power of 1/10, to the nearest integer? 2 What is the cube root of 78618 to the nearest integer? 43 What is 16700 to the power of 1/3, to the nearest integer? 26 What is 35650 to the power of 1/3, to the nearest integer? 33 What is 25355 to the power of 1/2, to the nearest integer? 159 What is 15748 to the power of 1/7, to the nearest integer? 4 What is 13425 to the power of 1/9, to the nearest integer? 3 What is the square root of 206 to the nearest integer? 14 What is the square root of 48220 to the nearest integer? 220 What is the square root of 1364 to the nearest integer? 37 What is the seventh root of 1065 to the nearest integer? 3 What is the square root of 31702 to the nearest integer? 178 What is the cube root of 1902 to the nearest integer? 12 What is 136 to the power of 1/5, to the nearest integer? 3 What is the eighth root of 650 to the nearest integer? 2 What is the square root of 13659 to the nearest integer? 117 What is 2018 to the power of 1/2, to the nearest integer? 45 What is 964 to the power of 1/4, to the nearest integer? 6 What is the square root of 1348 to the nearest integer? 37 What is the fourth root of 2110 to the nearest integer? 7 What is the square root of 797 to the nearest integer? 28 What is 3411 to the power of 1/3, to the nearest integer? 15 What is 2051 to the power of 1/2, to the nearest integer? 45 What is the square root of 2351 to the nearest integer? 48 What is the ninth root of 49883 to the nearest integer? 3 What is the third root of 7709 to the nearest integer? 20 What is 43599 to the power of 1/3, to the nearest integer? 35 What is 16362 to the power of 1/2, to the nearest integer? 128 What is 97 to the power of 1/3, to the nearest integer? 5 What is the third root of 486 to the nearest integer? 8 What is the square root of 14276 to the nearest integer? 119 What is 3773 to the power of 1/3, to the nearest
{ "pile_set_name": "DM Mathematics" }
9)). 1/24 ((-2)/36*-3)/(969/342) 1/17 Calculate (-1)/((-6)/(-8))*3/(-96)*-4. -1/6 What is the value of ((-6)/150)/(-7*(-5)/350)? -2/5 What is ((-468)/(-180))/((-6)/(-30))? 13 Calculate (14/10)/(14/(-70)). -7 (-9)/(-16)*236/(-59) -9/4 What is the value of 12*20/(-495)*36/(-48)? 4/11 (-1125)/(-150)*(-7)/((-63)/12) 10 What is 5/(((-608)/38)/80)? -25 What is the value of 392/(-35)*(6/15)/(8/(-50))? 28 Calculate 375/75*-2*2/10. -2 Evaluate (-2)/88*1551/(-846). 1/24 (((-1209)/338)/31)/((-3)/2) 1/13 What is -14*(60/6)/(-10)? 14 23/(-46)*(10/20)/(3/228) -19 What is the value of -6*(17/(-10))/(-17)*30/(-2)? 9 (-140)/(-56)*(-5)/5 -5/2 Calculate ((-60)/150)/((-2)/(-5)). -1 Evaluate 522/(-1305)*(-10)/12. 1/3 What is (((-1640)/96)/41)/(25/10)? -1/6 (3766/10760)/((-231)/24) -2/55 Calculate (-4167)/(-926)*(-8)/(-6). 6 Calculate (-62)/31*(-5)/(50/(-8)). -8/5 What is ((-6)/(-20))/(681/1816)? 4/5 (-728)/(-14)*11/(396/9) 13 What is the value of (7/(-2)*-1)/(125/(-50))? -7/5 Calculate (-63)/(-6)*((-3)/(-18))/(108/(-144)). -7/3 Calculate (618/721)/((-3)/21). -6 Evaluate (2*24/(-320))/(3/(-6)). 3/10 What is (111/4070)/((264/(-40))/(-11))? 1/22 (-22)/440*15*3*(-8)/(-153) -2/17 What is the value of 3/(-3)*45/(-405)? 1/9 Evaluate (-7*130/70)/((-4)/(-4)). -13 Evaluate (30/(-135))/(3363/(-513)). 2/59 Evaluate 1/(10/((-1760)/(-8))). 22 (-48)/560*30*7 -18 Evaluate 2013/(-1281)*(-6)/11. 6/7 What is (-1)/((-20)/13020*21)? 31 Evaluate (1638/(-728))/(9/84). -21 What is the value of (-2*(-1)/4)/((1450/(-29))/(-500))? 5 Calculate ((-3)/2)/((29982/2052)/263). -27 What is the value of (-19)/(228/6)*-40? 20 Calculate 25/(4000/192)*5/(-32). -3/16 3/3*6*275/(-1650) -1 What is the value of (((-50)/(-3))/5)/(-10*8/(-32))? 4/3 1/((-8)/4)*((-56)/(-98))/1 -2/7 604/755*6/48 1/10 Calculate 9*(-26)/(-351)*(-5)/((-760)/(-12)). -1/19 What is (212/954)/((-3)/30*(-15)/9)? 4/3 Evaluate (69/(-322))/((-2)/((-12)/9)). -1/7 What is the value of ((-96)/144)/(10/4)*21/70? -2/25 What is the value of 160/24*(-4)/(40/(-15))? 10 Evaluate 6*(((-240)/162)/10)/(6/(-9)). 4/3 (3452/9493)/((-2)/6) -12/11 ((-1)/2*1)/((125/20)/25) -2 (-21)/441*2*3/12*4 -2/21 What is 56/(-119)*((-42)/(-8))/(-21)? 2/17 What is the value of ((-54)/78)/(1356/(-1469))? 3/4 Calculate (2/5)/(10/(-25)*3)*9. -3 What is the value of (600/(-375))/(91/(-65))? 8/7 What is the value of ((-6)/28)/((-60)/35)? 1/8 Calculate (90/(-50)*6/(-99))/((-27)/(-90)). 4/11 What is (7/((-35)/2))/(-57*16/(-31920))? -14 What is (-2)/(-8)*((-56898)/435)/109? -3/10 Calculate (-384)/(-16576)*37*(56/3)/1. 16 (12/3)/8*(12/9)/2 1/3 Evaluate (6/20)/(138/(-46)*8/112). -7/5 What is the value of (72/33)/(((-4)/(-8))/(275/100))? 12 What is ((2/10)/(-1))/((-20)/(-540)*3)? -9/5 (7*(-22)/77)/((-2)/(-9)) -9 Evaluate (36/1215*9)/((9/5)/(-3)). -4/9 What is the value of ((-1188)/27)/(64/(-40)*5/2)? 11 What is ((-13)/208)/(2/(-6))*-28? -21/4 138/(-2737)*-17*(-21)/(-2) 9 Evaluate (-2)/(((-12)/66)/1). 11 What is the value of (((-30)/(-140))/((-81)/72))/(6/9)? -2/7 What is the value of (-212)/1113*(14/10)/(4/(-10))? 2/3 What is ((600/(-16))/5)/((-5)/100*-15)? -10 What is ((-440)/30525)/((-2)/10)*6/8? 2/37 Calculate ((-8)/36)/((-25)/((-40500)/(-20))). 18 (12/(-63))/(710/(-2130)) 4/7 Evaluate (-315)/525*(-130)/6. 13 What is (6/1)/(102/(-221))? -13 Evaluate (-5)/(-10)*-14*12/(-7). 12 What is (693/(-385))/(36/120)? -6 What is ((3*(-32)/(-72))/(-2))/(50/345)? -23/5 What is the value of 75/125*12/(-4)? -9/5 What is (154/33)/(21/36)? 8 What is -22*(600/165)/(-4)? 20 Calculate ((-2)/(-12))/((688/(-64))/(-43)). 2/3 What is the value of (32/72*2/2)/(-2)? -2/9 What is (((-16)/(-44))/(-2))/(-2)*-12*1? -12/11 Evaluate ((-60)/(-45))/((-5)/(-300)*-4). -20 What is the value of 278/(-556)*(-4)/(-13)? -2/13 180/420*30/15 6/7 What is (1989/884)/((-78)/32)? -12/13 (7/(-28))/((-170)/(-32)*(-5)/(-25)) -4/17 What is (-48)/18*15/(-500)? 2/25 Calculate (3/5)/1*((-288)/(-81))/(-16). -2/15 What is the value of (-5)/175*42/(-9)? 2/15 ((-468)/(-21))/(-13)*196/21 -16 Calculate (-11)/(6/4*(-30)/405*-9). -11 What is the value of (-7)/140*-12*(150/(-2))/3? -15 Evaluate (((-114)/(-6))/399)/((-2)/12). -2/7 Calculate ((-570)/6)/(270/(-54)). 19 Evaluate (-870)/145*2/(-16). 3/4 What is the value of (((-15)/(-20))/((-12)/8))/(21/(-18))? 3/7 What is ((-550)/1375)/(-3*4/(-510))? -17 Calculate (1095/219)/(9/6*15). 2/9 Evaluate 21*(-17)/51*4/574. -2/41 What is the value of 441/(-1960)*145/87? -3/8 Evaluate (11/(-22))/((-55)/(-154)). -7/5 What is (198/(-165))/(22/385)? -21 What is -3*1/2*(-146)/(-2409)? -1/11 What is the value of ((-217)/(-5425))/((-3)/10)? -2/15 What is (-35)/3*(-13599)/(-10577)? -15 2*(1/24)/((77/14)/11) 1/6 What is the value of (10/(-4))/(30/((-1200)/70))? 10/7 Calculate (252/(-882)*(-7)/(-5))/(132/(-10)). 1/33 ((24/(-14))/(-2))/(168/588) 3 Calculate ((-17)/(204/36))/(5/(-5)). 3 (-10)/4*((-132)/77)/((-18)/(-63)) 15 What is (-4)/((-6)/33*(-286)/(-104))? 8 Calculate 24*115/1495*3/((-18)/(-13)). 4 Evaluate ((-93)/(-62))/(30/540). 27 (-5)/2*804/(-20100) 1/10 What is (0*10/(-150))/3? 0 Calculate 85/68*259/(-185). -7/4 ((-3)/(-18)*27)/(27/72) 12 What is ((-10857)/13959)/(1/36)? -28 Evaluate 187/561*(-2)/((-2)/(-7)). -7/3 Evaluate ((-36)/(-8)*-1)/((-123)/(-574)). -21 Calculate ((1/(-4))/(-1))/(((-957)/(-616))/87). 14 What is (3/6)/((-154)/77)? -1/4 (-27)/189*-14*1/(-23) -2/23 Calculate (-18)/(-2)*(-22)/(-99)*(-6)/4. -3 What is ((-1)/((-8)/36))/(-9*17/306)? -9 What is the value of ((-6286)/(-198009))/(((-2)/(-7))/(-2))? -2/9 What is ((-10)/6)/(968/2904)? -5 ((-3)/(-4))/(269/5380) 15 Calculate 11/((-5610)/(-221))*90/12. 13/4 What is (8/3)/(10*(-325)/375)? -4/13 ((-2907)/114)/(39/(-26)) 17 What is the value of (11/(-4))/((1023/(-31))/396)? 33 What is (((-456)/(-84))/19)/(-3)? -2/21 What is the value of (-1)/((-28)/(-36))*11/((-187)/17)? 9/7 Evaluate 68/(-32)*-4*18/(-9). -17 Evaluate (-5)/33*(-5)/(-2)*(-2730)/11375. 1/11 Evaluate (-40)/16*(-16)/(-6)*270/(-150). 12 What is the value of ((-37)/(2405/(-40)))/(-4)? -2/13 Calculate (((-7)/28)/(1/4))/((-159)/(-6)). -2/53 ((-15)/225)/(13/(-39)) 1/5 What is ((-1845)/861)/((-18)/(-210))? -25 Calculate 455/455*8/6. 4/3 What is the value of ((-2)/(-14))/((-18)/(-630))? 5 What is the value of ((-14)/49)/(-5*3/105)? 2 Calculate 162/216*24/3. 6 (2/(5/((-60)/(-12))))/((-2)/31) -31 What is the value of 18/(-24)*264/2871? -2/29 (621/(-966))/(120/(-56)) 3/10 Calculate ((-200)/35)/(-10)*(-3)/30. -2/35 -3*2/(-30)*(-37)/((-777)/84) 4/5 Evaluate (-22)/33*11/((-308)/(-315)). -15/2 Calculate (-11)/(66/(-312))*(-3)/((-6)/(-1)). -26 What is (((-33)/143)/1*-13)/(6/(-10))? -5 Calculate (44/((-572)/(-195)))/((-3)/(-2)). 10 What is the value of 14*(-64)/560*50/8? -10 What is the value of (-8*215/172)/(4/(-10))? 25 Evaluate 1/((-5)/(-240)*-8). -6 What is the value of ((-216)/168)/(72/32)? -4/7 What is the value of (462/22)/(-42)*(-10)/6? 5/6 What is the value of ((-1)/(-4))/(89/3916)? 11 What is (((-34)/595)/(45/(-105)))/((-3)/(-5))? 2/9 Calculate (-50652)/4020*10/6. -21 What is (-2)/(-10)*(-1)/(-27)*30? 2/9 What is (175/49*(-12)/(-15))/((-1)/7)? -20 (-28)/8*-7*(-2)/(-28) 7/4 Calculate -3*40/(-25)*40/32. 6 Calculate (5*(-6)/(-30))/(3*(-3)/36). -4 Calculate (-8)/(-3)*((-1)/6)/((-24)/(-1512)). -28 Evaluate ((-5)/(-30))/((27/2916)/(1/4)). 9/2 Calculate (23/1932)/((-3)/(-12))*3. 1/7 Evaluate (-632)/(-1817)*(-7)/(-28). 2/23 Calculate (-24)/320*-20*2/(-7). -3/7 What is the value of (7/3)/(6/48*28)? 2/3 Calculate ((-1)/(-7)*3/3)/(105/(-147)). -1/5 What is (-9)/(-39)*((-56)/21)/2? -4/13 What is (12/(-87))/((-190)/5510)? 4 Evaluate (-1720)/516*(-42)/(-10). -14 7/(42/(-20))*(-108)/(-7020) -2/39 ((-962)/(-185))/((-10)/25) -13 Evaluate 1*(156/51)/(-13). -4/17 ((27/(-252)*-16)/(2/(-14)))/(-2) 6 What is the value of ((-12)/1)/(2931/1954)? -8 Calculate ((-8)/(-4))/(28/112). 8 Evaluate (54/22275*15)/((12/(-10))/6). -2/11 Evaluate (-2)/24*(-27)/27. 1/12 What is (-2)/(256/(-32)*2/40)? 5 What is the value of (128/(-96))/2*75/(-2)? 25 What is the value of ((-3)/6)/(22/((-2464)/(-98)))? -4/7 What is the value of 1/(14/(-672)*8*1*-3)? 2 What is the value of ((714/(-136))/((-7)/24))/(15/5)? 6 What is the value of ((-1)/4)/(-112*48/3072)? 1/7 Calculate -18*18/(-810)*90/((-10)/5). -18 Calculate 31/(-5)*3/33*-55. 31
{ "pile_set_name": "DM Mathematics" }
lculate prob of picking 2 c when two letters picked without replacement from chzypch. 1/21 Two letters picked without replacement from fhyhhfl. What is prob of picking 1 y and 1 l? 1/21 Four letters picked without replacement from crccirriif. What is prob of picking 1 c, 2 r, and 1 i? 9/70 What is prob of picking 1 q, 2 y, and 1 e when four letters picked without replacement from {s: 1, q: 4, y: 2, e: 1}? 2/35 What is prob of picking 4 x when four letters picked without replacement from xxxbxxbxxxxx? 14/33 Three letters picked without replacement from {y: 1, x: 1, a: 2, e: 1, r: 1, i: 1}. What is prob of picking 2 e and 1 y? 0 Three letters picked without replacement from vqmmqdmvmqd. What is prob of picking 1 q, 1 m, and 1 d? 8/55 What is prob of picking 2 v when two letters picked without replacement from {h: 3, v: 4, g: 4}? 6/55 What is prob of picking 1 q and 1 u when two letters picked without replacement from aquqquau? 9/28 Four letters picked without replacement from mammggmmammaamamaa. What is prob of picking 4 a? 7/612 Four letters picked without replacement from riggrrgggriigy. What is prob of picking 1 g, 2 r, and 1 y? 36/1001 Calculate prob of picking 4 m when four letters picked without replacement from mmmmmm. 1 Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {h: 1, o: 7, q: 2}. 2/45 What is prob of picking 1 f and 1 c when two letters picked without replacement from {f: 3, w: 1, r: 1, g: 1, c: 1}? 1/7 Two letters picked without replacement from kkkqq. What is prob of picking 1 q and 1 k? 3/5 Three letters picked without replacement from {t: 9, o: 9}. What is prob of picking 2 o and 1 t? 27/68 Calculate prob of picking 3 v when three letters picked without replacement from {t: 1, g: 3, v: 11}. 33/91 Calculate prob of picking 1 v and 1 e when two letters picked without replacement from svsvvse. 1/7 What is prob of picking 2 u when two letters picked without replacement from ujjjxucujccujccux? 5/68 What is prob of picking 3 t when three letters picked without replacement from {e: 10, t: 4}? 1/91 Two letters picked without replacement from {m: 6, b: 4}. What is prob of picking 1 b and 1 m? 8/15 Two letters picked without replacement from jjbjbnbbjnnbb. What is prob of picking 1 n and 1 j? 2/13 Three letters picked without replacement from {u: 9, t: 10}. Give prob of picking 1 u and 2 t. 135/323 Calculate prob of picking 1 r and 2 f when three letters picked without replacement from rfrfrrr. 1/7 Two letters picked without replacement from {z: 3, p: 5, g: 6, m: 3}. What is prob of picking 2 g? 15/136 Two letters picked without replacement from {l: 2, f: 1, i: 2, h: 2, n: 5, r: 1}. Give prob of picking 1 l and 1 i. 2/39 Three letters picked without replacement from {y: 1, e: 2, w: 2, s: 4}. What is prob of picking 2 s and 1 w? 1/7 Calculate prob of picking 1 j, 1 q, and 2 x when four letters picked without replacement from xfqxjxkxkxjjx. 9/143 Four letters picked without replacement from {b: 1, y: 3, p: 5}. What is prob of picking 1 b, 1 y, and 2 p? 5/21 Four letters picked without replacement from {q: 4, w: 6, b: 5}. What is prob of picking 4 q? 1/1365 Four letters picked without replacement from cvcvlxtlttlttqvvcvvl. Give prob of picking 1 v, 2 t, and 1 x. 4/323 What is prob of picking 2 z and 1 w when three letters picked without replacement from {i: 1, m: 2, w: 3, z: 4}? 3/20 Calculate prob of picking 3 m when three letters picked without replacement from {b: 7, m: 7, e: 5}. 35/969 Three letters picked without replacement from dgroq. Give prob of picking 1 q, 1 r, and 1 o. 1/10 Four letters picked without replacement from {u: 2, q: 6, r: 1, e: 5, a: 1, x: 1}. What is prob of picking 1 x, 1 a, 1 e, and 1 u? 1/182 Three letters picked without replacement from {d: 18, m: 1}. Give prob of picking 1 m and 2 d. 3/19 Three letters picked without replacement from {e: 2, t: 4, i: 2, y: 4}. What is prob of picking 2 e and 1 t? 1/55 Two letters picked without replacement from qoocqzzqc. What is prob of picking 2 q? 1/12 What is prob of picking 1 j, 1 b, and 1 x when three letters picked without replacement from {j: 2, b: 1, l: 2, x: 1}? 1/10 Three letters picked without replacement from wwwyawwwywwawww. Give prob of picking 1 w, 1 y, and 1 a. 44/455 Four letters picked without replacement from abgabggbabasa. Give prob of picking 1 s and 3 a. 2/143 Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {a: 1, r: 2, k: 2}. 2/5 Calculate prob of picking 1 p and 1 l when two letters picked without replacement from qqkqqlcpqc. 1/45 What is prob of picking 2 a when two letters picked without replacement from {l: 1, a: 3, k: 1, c: 4, g: 4}? 1/26 Two letters picked without replacement from {w: 1, a: 3, v: 2, m: 13}. Give prob of picking 1 w and 1 m. 13/171 Two letters picked without replacement from fffbfffbf. What is prob of picking 2 b? 1/36 What is prob of picking 1 f and 2 w when three letters picked without replacement from fthtawtthhhwtat? 1/455 What is prob of picking 1 i and 1 d when two letters picked without replacement from yfizzfzdzqqfqzqfifq? 2/171 Calculate prob of picking 2 u and 1 t when three letters picked without replacement from uuut. 3/4 What is prob of picking 3 e and 1 y when four letters picked without replacement from oeyoyoyoyyeyeeoyy? 8/595 Calculate prob of picking 2 g when two letters picked without replacement from {g: 5}. 1 Calculate prob of picking 2 d and 2 g when four letters picked without replacement from pppgggggppddgppddg. 7/170 Two letters picked without replacement from vvkovoovvvovvko. What is prob of picking 2 o? 2/21 Two letters picked without replacement from {k: 13, e: 6}. Give prob of picking 2 e. 5/57 Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {r: 3, s: 4, z: 7, g: 1, x: 3}. 4/51 Calculate prob of picking 3 f and 1 s when four letters picked without replacement from {f: 12, s: 1, p: 6}. 55/969 Two letters picked without replacement from {v: 1, b: 7, q: 2, d: 9}. Give prob of picking 1 v and 1 b. 7/171 Calculate prob of picking 1 d, 1 t, and 1 x when three letters picked without replacement from {t: 1, a: 2, x: 1, d: 2, k: 10}. 1/280 Two letters picked without replacement from {q: 2, f: 3, r: 4, t: 1, d: 2}. What is prob of picking 1 r and 1 q? 4/33 Four letters picked without replacement from ccppqqccccqcccc. What is prob of picking 3 q and 1 c? 2/273 Three letters picked without replacement from {e: 1, s: 1, t: 1, m: 2, y: 1, o: 1}. What is prob of picking 1 e, 1 t, and 1 o? 1/35 Calculate prob of picking 2 s when two letters picked without replacement from {m: 1, s: 4, c: 3}. 3/14 Three letters picked without replacement from {k: 2, h: 2, b: 2}. What is prob of picking 2 h and 1 b? 1/10 What is prob of picking 1 z, 1 b, and 1 j when three letters picked without replacement from {d: 1, k: 2, z: 1, b: 2, j: 1}? 2/35 What is prob of picking 2 v and 2 m when four letters picked without replacement from mvvvvmvvvvvv? 1/11 What is prob of picking 1 a and 1 m when two letters picked without replacement from kiykkmyyypppiaa? 2/105 Four letters picked without replacement from lennvevvvvennv. What is prob of picking 2 v and 2 e? 45/1001 What is prob of picking 2 o when two letters picked without replacement from oooooooovvvoooo? 22/35 Two letters picked without replacement from qieiihhihihhzhhvehhh. What is prob of picking 1 h and 1 z? 1/19 Calculate prob of picking 2 f and 2 x when four letters picked without replacement from {f: 2, x: 4}. 2/5 Two letters picked without replacement from {c: 7, s: 3, m: 8}. Give prob of picking 2 s. 1/51 Calculate prob of picking 2 s when two letters picked without replacement from suusuuuuuiysuiysi. 3/68 Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {j: 3, s: 3, g: 3, n: 4}. 3/26 Three letters picked without replacement from qqqqqrqqqqqrqqrqrq. What is prob of picking 3 r? 1/204 Four letters picked without replacement from cbcc. Give prob of picking 4 c. 0 Four letters picked without replacement from iirriiirriiirrirrr. What is prob of picking 4 r? 7/170 Two letters picked without replacement from ltxl. What is prob of
{ "pile_set_name": "DM Mathematics" }
y**2 - 4/3*y**4. y**3*(y - 3)*(y - 1)/3 Let q(s) be the first derivative of -5*s**6/6 - 4*s**5 - 5*s**4 + 10*s**3/3 + 25*s**2/2 + 10*s + 53. Factor q(v). -5*(v - 1)*(v + 1)**3*(v + 2) Let k(z) = 11*z**3 + 19*z**2 - 42*z + 6. Let g(a) = a**3 - a**2 - 2*a + 1. Let v(j) = -6*g(j) + k(j). Solve v(o) = 0 for o. -6, 0, 1 Let z be 428/6 - (-6)/9. Let l = 362/5 - z. Factor 2/5*t**3 - l*t + 0*t**2 - 1/5 + 1/5*t**4. (t - 1)*(t + 1)**3/5 Let u(g) = -g**2 + 332*g + 308. Let q(m) = 2*m**2 - 498*m - 460. Let p(o) = -5*q(o) - 8*u(o). Factor p(y). -2*(y + 1)*(y + 82) Factor 3/7*r**4 + 0 + 24*r**3 + 0*r + 165/7*r**2. 3*r**2*(r + 1)*(r + 55)/7 Let c = 132936/41 + -3242. Let b = c + 394/287. Solve -b*y + 9/7 + 3/7*y**2 = 0. 1, 3 Let w(r) = 501*r**2 + 68*r - 40. Let p(a) = 3510*a**2 + 475*a - 280. Let d(i) = -2*p(i) + 15*w(i). Let d(y) = 0. Calculate y. -4/11, 2/9 Let a(l) be the first derivative of l**4/6 - 32*l**3/9 + 41*l**2/3 - 52*l/3 + 162. Determine o so that a(o) = 0. 1, 2, 13 Let o(x) be the first derivative of 4*x**3 + 33*x**2/2 - 9*x + 58. What is k in o(k) = 0? -3, 1/4 Determine z, given that -12 + 25/2*z + 11/2*z**2 = 0. -3, 8/11 Let r = -2/733 - -793/21990. Let c(b) be the third derivative of -4/15*b**5 + 0 + 0*b + b**2 + r*b**6 + 0*b**3 + 2/3*b**4. What is w in c(w) = 0? 0, 2 Solve -12/7*z + 2/7*z**2 + 18/7 = 0. 3 Factor -11 + 5 + 6 - o**2 - 8*o. -o*(o + 8) Let l(x) = x**2 + 2*x + 5. Let k be l(-3). Let -34*q**2 - k + 2 + 31*q**2 - 9*q = 0. Calculate q. -2, -1 Let k(d) be the first derivative of 0*d - 11 + 0*d**3 - 3/14*d**2 + 3/28*d**4. Factor k(b). 3*b*(b - 1)*(b + 1)/7 Let l(g) be the first derivative of -g**4/16 - 6*g**3 - 216*g**2 - 3456*g + 73. Factor l(v). -(v + 24)**3/4 Let a(s) be the first derivative of -s**4/16 - 7*s**3/4 + 11. Determine d, given that a(d) = 0. -21, 0 Factor 5*i**2 - 36902 + 521*i + 132122 - 420*i - 1481*i. 5*(i - 138)**2 Let b be (127/21)/(20/72). Let w = -106/5 + b. Find p such that -2/7 + 6/7*p**4 + 4/7*p**3 - w*p**2 - 6/7*p + 2/7*p**5 = 0. -1, 1 Let i(f) = 5*f**3 - 835*f**2 - 5*f + 5. Let v(a) = 3*a**3 - 417*a**2 - 2*a + 2. Let g(d) = 2*i(d) - 5*v(d). Factor g(n). -5*n**2*(n - 83) Let w = -292 - -548. Let y = -253 + w. Determine g so that 12/7*g - 4/7*g**5 - 8/7*g**2 - 8/7*g**y + 12/7*g**4 - 4/7 = 0. -1, 1 Let l(g) = 2*g - 8. Let q = -7 + 13. Let u be l(q). Solve -13 + 15 + a**3 - 3*a - u*a**2 + 4*a**2 = 0. -2, 1 Let m = -1152 - -1154. Determine v so that -1 - 2/5*v**3 + 9/5*v**m + 6/5*v = 0. -1, 1/2, 5 Let -62*b**2 + 113*b**2 + 65*b - 56*b**2 = 0. Calculate b. 0, 13 Suppose 3*r - 6*r = -15. Suppose 3*m = 12, r*t - 4 = 3*t + m. Factor -1 - d**2 + t*d - 6*d + 4*d. -(d - 1)**2 Let d(h) = -13*h**4 + 6*h**3 - h**2 - 13*h - 14. Let a(x) = 7*x**4 - 3*x**3 + x**2 + 7*x + 8. Let u(j) = 7*a(j) + 4*d(j). Factor u(q). -3*q*(q - 1)**2*(q + 1) Let r(n) be the first derivative of -2/21*n**3 - 2/7*n - 2/7*n**2 + 21. Factor r(d). -2*(d + 1)**2/7 Let n(w) be the third derivative of w**7/1050 + w**6/100 + w**5/300 - w**4/5 + 8*w**3/15 - 198*w**2 - 2. Factor n(t). (t - 1)**2*(t + 4)**2/5 Let -2/5 + 2/3*n - 2/15*n**3 - 2/15*n**2 = 0. Calculate n. -3, 1 Let n = 24187/5 + -4823. Determine m, given that 0 + 3/5*m + 66/5*m**3 + n*m**4 + 24/5*m**2 + 27/5*m**5 = 0. -1, -1/3, 0 Let y(f) be the first derivative of -5*f**4/72 - 5*f**3/4 - f - 26. Let k(i) be the first derivative of y(i). Factor k(j). -5*j*(j + 9)/6 Suppose -6*c - 24 = 2*c. Let f be (2/(-8))/((1 - c)/(-8)). Suppose -1/2*g**3 + 1/2*g - f + 1/2*g**2 = 0. Calculate g. -1, 1 Suppose 5*i + 0 + 3 = -s, -3*s = 9. Let k be 3 - 3/(-6)*i. Factor o**3 + 4*o**3 - 3*o**3 + 2*o**k - 12*o + 8. 4*(o - 1)**2*(o + 2) Suppose -s + 4 + 4 = 0. Factor 10*x**2 + 3*x - s*x + 0*x - 5*x**3. -5*x*(x - 1)**2 Determine f, given that f**4 - 3*f**3 - 5*f**2 + 34*f - 83*f + 47*f + f**5 = 0. -1, 0, 2 Factor 0 - 2/15*t**4 + 0*t + 4/3*t**3 - 10/3*t**2. -2*t**2*(t - 5)**2/15 Let c(z) = 12 + 8*z - 5*z + z**2 + 2*z + 3*z. Let u be c(-6). Determine k so that 2/7*k**2 - 2/7 + u*k = 0. -1, 1 Let a be (4/(-3))/((-10)/15). Suppose -2*r + 4*r - 16 = a*l, 2*l = r - 13. Suppose 3*k**r - 2*k**3 + k**4 + 33*k**5 - 32*k**5 - 3*k**4 = 0. What is k? 0, 1 Factor 0 + 2/7*o**3 - 10/7*o + 8/7*o**2. 2*o*(o - 1)*(o + 5)/7 Let s(g) be the third derivative of 0*g - 2/9*g**3 + 0 - 49/720*g**6 + 13/36*g**4 - 7/36*g**5 + 3*g**2. Let s(y) = 0. What is y? -2, 2/7 Let z(d) = d**4 + 9*d**3 + 5*d**2 + 5*d + 5. Let b(u) = -u**4 - 10*u**3 - 6*u**2 - 6*u - 6. Let t(n) = -5*b(n) - 6*z(n). Factor t(a). -a**3*(a + 4) Let 1/8*h**2 + 7/2 - 2*h = 0. Calculate h. 2, 14 Let c(n) be the third derivative of 1/45*n**5 - 11*n**2 + 0 + 1/36*n**4 + 1/180*n**6 + 0*n**3 + 0*n. Solve c(t) = 0. -1, 0 Factor -63/4*a - 3/4*a**3 - 27/2 - 6*a**2. -3*(a + 2)*(a + 3)**2/4 Let i(t) be the first derivative of 2*t**3/21 + 13*t**2/7 + 72*t/7 + 564. Find u such that i(u) = 0. -9, -4 Factor -4/5*p**2 + 8/5 + 31/5*p. -(p - 8)*(4*p + 1)/5 Let s(o) be the first derivative of -o**3/4 - 15*o**2/2 + 80. Suppose s(v) = 0. Calculate v. -20, 0 Let r(h) = -2. Let c(b) = -b**2. Let w(d) = 4*c(d) - 4*r(d). Let y(u) be the third derivative of u**4/24 + 5*u**2. Let s(f) = -w(f) - 4*y(f). Factor s(a). 4*(a - 2)*(a + 1) Let v(g) be the first derivative of 0*g - 12/5*g**5 + 11 - 2/3*g**6 - 3*g**4 + 0*g**2 - 4/3*g**3. Determine d, given that v(d) = 0. -1, 0 Let u(j) be the first derivative of -8 + 15*j**4 + 128/9*j**3 + 0*j + 8/3*j**2 - 108/5*j**5. Solve u(b) = 0. -2/9, 0, 1 Let b = 55596/5 - 11181. Let j = 63 + b. Factor 9/5*i**2 - 3/5*i**4 - 12/5*i + j*i**3 - 12/5. -3*(i - 2)**2*(i + 1)**2/5 Let b(t) be the first derivative of t**4/8 + 5*t**3/6 - t**2/4 - 5*t/2 + 117. Factor b(k). (k - 1)*(k + 1)*(k + 5)/2 Let d(t) be the third derivative of -t**7/42 - 7*t**6/30 - 4*t**5/5 - 2*t**4/3 + 8*t**3/3 - 9*t**2. Factor d(j). -(j + 2)**3*(5*j - 2) Let k(x) = -8*x**4 + 8*x**3 + 20*x**2 - 20*x. Let q(i) = 105*i**4 - 105*i**3 - 260*i**2 + 260*i. Let c(w) = -40*k(w) - 3*q(w). Factor c(d). 5*d*(d - 2)*(d - 1)*(d + 2) Let q = 1932 - 1932. Factor -242/5*d - 2/5*d**3 + 44/5*d**2 + q. -2*d*(d - 11)**2/5 Let n(x) be the second derivative of -x**4/3 + 2*x**3 + 20*x**2 + 345*x. Factor n(v). -4*(v - 5)*(v + 2) Let i(j) be the first derivative of 0*j**2 + 12/5*j - 7/5*j**3 - 1/10*j**6 + 3/20*j**4 + 9/25*j**5 + 32. Solve i(k) = 0. -1, 1, 2 Let r(v) = -v**2 + 21*v - 27. Let x be r(20). Let d(f) = 5*f**2 + 5*f + 7. Let t(n) = 2*n**2 + 2*n + 3. Let w(z) = x*t(z) + 3*d(z). Factor w(y). y*(y + 1) Let j(p) = -p**5 + p**4 + p**2 - p - 1. Let h(r) = 2*r + 2*r**5 - 7*r**4 - 10 - 12 + 9 - 10*r**3 + 23*r**2. Let o(z) = -h(z) + 3*j(z). What is y in o(y) = 0? -1, 1, 2 Let q(j) = -152*j**3 - 140*j**2 + 4*j + 8. Let k(z) = -51*z**3 - 47*z**2 + z + 3. Let p(d) = 8*k(d) - 3*q(d). Factor p(b). 4*b*(b + 1)*(12*b - 1) Let m(d) = 2*d**2 + 6*d - 6. Let p(t) = 3*t**2 + 7*t - 7. Let a be ((-3)/4)/((-17)/136). Let n(z) = a*p(z) - 7*m(z). Find k, given that n(k) = 0. 0 Suppose -4*v - 4*x = -12 - 0, -x = 3*v - 13. Factor 20*k + 15*k**2 - v*k**3 - 61 - 56 + 117. -5*k*(k - 4)*(k + 1) Let m(z) be the first derivative of z**8/560 + 3*z**7/140 - z**6/120 - 3*z**5/20 + 9*z**3 - 28. Let h(f) be the third derivative of m(f). Factor h(d). 3*d*(d - 1)*(d + 1)*(d + 6) Let i(y) be the first derivative of 25*y**6/27 + 38*y**5/9 + 19*y**4/3 + 104*y**3/27 + 8*y**2/9 - 93. Determine o so that i(o) = 0. -2, -1, -2/5, 0 Let j(u) = -u**2 + u. Suppose -b - b = 3*o - 24, -o + 3*b - 3 = 0. Let f(g) = -4*g**2 + 3*g + 1. Let i(q) = o*j(q) - 2*f(q). Factor i(x). 2*(x - 1)*(x + 1) Let x(j) be the first derivative of 1/8*j**4 + 1/2*j**3 + 17 + 0*j + 1/2*j**2. Find b such that x(b) = 0. -2, -1, 0 Let d(i) = -i + 10. Suppose 2*w + 2*h - h - 16 = 0, -41 = -5*w - 3*h. Let u be d(w). Determine g so that -10*g + 2 + 18*g - 11*g + g**u = 0. -2, 1 Let c(u) be the second derivative of u**4/144 + 11*u**3/36 + 19*u**2/8 + 546*u. Factor c(w). (w + 3)*(w + 19)/12 Let q(y) = 2*y**2 - 234*y - 35. Let l(u) = u**2 - 156*u - 25. Let n(b) = 7*l(b) - 5*q(b). Factor n(w). -3*w*(w - 26) Factor -24/5*i + 26/5 - 2/5*i**2. -2*(i - 1)*(i + 13)/5 Let p be (-960)/672 + 8/(-14) + 92/42. Solve p + 2/21*l**3 - 2/7*l + 0*l**2 = 0. -2, 1 Factor 5*c**3 - 5*c - 11*c + 30*c**2 - 4*c - 40 - 5*c**4. -5*
{ "pile_set_name": "DM Mathematics" }
) -59 (d) -1 (e) 1 (f) -1/3 (g) -3 c What is the fourth biggest value in -1, 2, 0.2, 29, -2/11, -3/7, -101? -2/11 What is the seventh biggest value in -5/6, 0.5, 0, 4, -0.3, 2/333, 227? -5/6 What is the third biggest value in 0.3, 82, 27, -170? 0.3 What is the third smallest value in 26, -74.4916, 3/4? 26 Which is the biggest value? (a) 1/5 (b) 1 (c) 269/10 (d) -0.4 (e) 1/4 (f) 0.96 c Which is the second biggest value? (a) 7713 (b) -478 (c) -3 c What is the second biggest value in -0.2, 5, 32.35431? 5 What is the third biggest value in -205, -1, -0.1, -3, -6, 1/209, 0.3? -0.1 What is the fifth smallest value in -1/4, -10304, -138, 8/5, -0.4? 8/5 Which is the biggest value? (a) 5 (b) -36 (c) -2 (d) -10 (e) 0.06 (f) -0.02 (g) 0.5 a Which is the biggest value? (a) -31/17 (b) -24 (c) -0.3 (d) 38/7 (e) -1 (f) -2/9 d What is the sixth biggest value in 2.6, 6/17, 5, 120, 0, 7? 0 Which is the third smallest value? (a) 2 (b) 2/5 (c) -1736.503 a Which is the third smallest value? (a) 2/7 (b) 0.3 (c) 2 (d) -2.92 (e) 13640 (f) -3/7 a What is the fourth smallest value in 0, 0.2, -1, -4, 4514/53? 0.2 Which is the biggest value? (a) -2/13 (b) 3.2 (c) -156198 (d) -1 b Which is the third smallest value? (a) 4/5 (b) 0.5 (c) 0.090864 (d) 17 a Which is the smallest value? (a) -0.041 (b) -3/2 (c) 4 (d) 2026 (e) 1 (f) -0.3 (g) 2 b What is the third biggest value in 1/4, 317/68, -191? -191 What is the third biggest value in -2, 3/28, -128552? -128552 What is the second biggest value in 0.3, 603, -14/3, -93, 1/3? 1/3 Which is the sixth smallest value? (a) -2 (b) 5.9 (c) 0.3 (d) 0.4 (e) -2/23 (f) -20 b Which is the fourth biggest value? (a) 0.1 (b) -10 (c) 2 (d) -3 (e) -3/10 (f) -3.31 d What is the smallest value in 324.1, 349, 5? 5 What is the third smallest value in 1/4, 0.18, 9, -1.3, 0.03, 2, 0.5? 0.18 Which is the fourth smallest value? (a) 8 (b) -13 (c) -4 (d) 29 (e) -1 (f) 183 a What is the second biggest value in 3, -0.1, -984, 1/2, 5/6, 5? 3 Which is the third biggest value? (a) 2/279 (b) 87 (c) 9 (d) -2/27 a Which is the fourth biggest value? (a) 2 (b) -2 (c) 4 (d) -566 (e) 3/61 b Which is the third biggest value? (a) -118 (b) -2/13 (c) 2/13 (d) -0.91 d Which is the fifth smallest value? (a) -0.5 (b) -3.4 (c) 2.29 (d) -374 (e) -0.1 c Which is the fifth biggest value? (a) -0.01 (b) -445 (c) -14 (d) 1/10 (e) -0.2 (f) 4/5 c Which is the fifth smallest value? (a) -1/9 (b) 6.6 (c) 1/6 (d) -33 (e) -2/9 (f) 2 f What is the second smallest value in -64520, -5, -15, -1/4? -15 Which is the third smallest value? (a) 9 (b) 0 (c) 2/53 (d) -0.071 (e) -10 (f) 2 (g) 5 b Which is the fifth biggest value? (a) -1.8 (b) 1 (c) -5 (d) -325/274 (e) -1 c What is the second biggest value in 2, 0.03, 148, -1.5, -138, -0.7? 2 Which is the sixth smallest value? (a) -2 (b) 7 (c) 1.1 (d) 0.4 (e) -0.2 (f) 0.03 (g) -4 c Which is the second biggest value? (a) -961 (b) 2 (c) -145 (d) -3/2 d Which is the second biggest value? (a) -0.098029 (b) -7.2 (c) 3 (d) 0.1 d What is the smallest value in -281/5, -5, -2/19, -1/8, 0.2, -185? -185 What is the biggest value in 109594, -5, 0.05, -3.5? 109594 What is the second biggest value in 1, -135190, 77? 1 What is the third smallest value in -2/5, -4, -2/13, 220, 4, 24? -2/13 What is the third smallest value in 2, 0.066619, 1, 1.52? 1.52 Which is the seventh biggest value? (a) -1/2 (b) 0.029 (c) -58 (d) 0.3 (e) -2 (f) 2/13 (g) 0 c Which is the third biggest value? (a) -1 (b) -2 (c) -0.2 (d) 4/3 (e) 2.1 (f) 8398.3 d What is the fifth biggest value in 4515, -0.2, -435, -1, 2/19, -0.3, 1? -0.3 Which is the third smallest value? (a) 3 (b) 78 (c) 0.1 (d) 0.5 (e) -20 (f) 2055 d What is the second biggest value in -3, -3/5, -218422, -2, 2? -3/5 Which is the third smallest value? (a) -1 (b) -1/2 (c) 2 (d) -34 (e) -0.02 b Which is the third biggest value? (a) -3 (b) 5 (c) 1 (d) -1 (e) -2/5 (f) -38366 e Which is the second smallest value? (a) -0.6 (b) -36 (c) -3 (d) 4 (e) 0.1 (f) -15 (g) 21/4 f What is the fourth smallest value in -0.3, -7, 22/19, -172? 22/19 What is the second biggest value in -0.01, -0.059, 8.5? -0.01 What is the third smallest value in 621487, 4, 1? 621487 What is the smallest value in -69, -0.5, 4/5, 52/131, -5? -69 What is the fifth biggest value in -1, -0.56, 0.03, -7, -9, -3? -7 Which is the third smallest value? (a) 7/2319 (b) 655 (c) 0.1 b What is the second smallest value in 486, 2/7, -1/2, -2/3, 2/23, 2? -1/2 Which is the sixth smallest value? (a) 0.472 (b) 4 (c) 20 (d) 91/2 (e) -3 (f) -2/11 d Which is the second biggest value? (a) 50 (b) -1/3 (c) -36 (d) -158/17 b What is the third smallest value in 10, -3/4, -140, 2/3, 0.12? 0.12 What is the second biggest value in -5, 4.4, -3, -11/173, -20? -11/173 What is the second smallest value in -1/2, 6, -36, -91, 0.5, -4? -36 Which is the third biggest value? (a) -8 (b) 1119 (c) -1/18 (d) 4 c Which is the sixth smallest value? (a) -3 (b) -1/4 (c) -17.1 (d) 5 (e) -11 (f) -6/35 d What is the second smallest value in -4, -0.5, -458, 1, 8, -1, 3/4? -4 What is the sixth smallest value in 11, -2, 0.20408, -9, -0.03, 5, 0? 5 What is the biggest value in 4, 1, -2/5, -618, -2, -0.03, 0? 4 Which is the second smallest value? (a) 13/113 (b) 0 (c) 29 a What is the smallest value in -6, 206/3, -2/13, 5? -6 What is the biggest value in 0.15, 2, -2, -1/10, -0.191, 1? 2 What is the third smallest value in -19, 0.1, 274/11, 1.1? 1.1 What is the second biggest value in 5, -1/4, -1.058, -0.1611? -0.1611 Which is the fourth biggest value? (a) 205 (b) -0.3 (c) 45 (d) 15 b Which is the third biggest value? (a) 0.5 (b) -16 (c) 2/16471 b Which is the fourth biggest value? (a) 0.5 (b) 14/31 (c) 2/3 (d) 2 (e) 3 (f) 4 (g) 52/5 d What is the fourth smallest value in -22, 0.07, -5, -0.5, -1, -19/25, 2? -19/25 What is the second biggest value in -2/7, 72462, 0, 11, 0.4, 5? 11 Which is the second biggest value? (a) -128.7 (b) 1/4 (c) -169/7 c What is the sixth smallest value in -3.7, 9, 1/4, 154, 0, -31, -4? 9 Which is the sixth smallest value? (a) 1 (b) -1/3 (c) 585 (d) 4 (e) -544 (f) 1/4 c What is the second biggest value in 2/9, 0.133, 75? 2/9 Which is the fifth biggest value? (a) -2 (b) 14 (c) 3/7 (d) 0.73 (e) -69 (f) -2/17 a What is the fifth biggest value in -89879, -5/7, 0, -0.1, 2? -89879 Which is the sixth biggest value? (a) 1/8 (b) 1.1222 (c) 4 (d) -95 (e) -37 (f) 0 d Which is the smallest value? (a) -76 (b) -1 (c) 0.1 (d) 10985 a Which is the second smallest value? (a) 1/6 (b) 175566 (c) -7/12 a Which is the fourth biggest value? (a) -2 (b) -0.18 (c) 0 (d) -187/3 (e) 1 a What is the second smallest value in -42349, 3, -0.1? -0.1 What is the second smallest value in -12/7, 1/32, -0.4, -19, 32? -12/7 Which is the smallest value? (a) 57 (b) 1 (c) -6290 (d) 5 c Which is the fourth biggest value? (a) -0.1 (b) -1 (c) 1.4 (d) 0.2 (e) -4 (f) 532/5 a What is the fourth biggest value in -173, 1/10, -2, 3968/11? -173 What is the biggest value in -1/54, -12358, -0.8? -1/54 Which is the fourth biggest value? (a) -507 (b) 2/3 (c) 4 (d) 5 (e) 0.03 (f) 6/5 b Which is the third smallest value? (a) 2/19 (b) -7591 (c) 1/3 (d) 1/44 (e) 209 (f) -1 d What is the third smallest value in -28/45, -5, 0, 0.007, -3, -2? -2 Which is the second smallest value? (a) 1/26 (b) 4 (c) 14230 b Which is the biggest value? (a) -4 (b) 6.3 (c) -1174337 b What is the smallest value in 1512.617, 0.1, 0? 0 Which is the third biggest value? (a) -619284 (b) 3 (c) 6/13 a Which is the sixth smallest value? (a) -1.2 (b) -2/5 (c) 1 (d) -17.5 (e) 1.6 (f) 52 f Which is the sixth biggest value? (a) 18 (b) -1/2 (c) -0.1 (d) 1/5 (e) -13 (f) 2/5 (g) -19 e What is the fifth biggest value in -0.667, 3, -2, -1, 2.4? -2 What is the smallest value in 1927, -0.26, 0.0624? -0.26 Which is the second smallest value? (a) -0.27654 (b) -1711 (c) -3 c What is the biggest value in 6, -1/6, 18, -2576, -2/3? 18 What is the sixth smallest value in 618/61, 6, -19, -1/2, -0.02, 3? 618/61 Which is the se
{ "pile_set_name": "DM Mathematics" }
d without replacement from xooqqoxoqoq. What is prob of picking 1 x and 1 o? 2/11 What is prob of picking 2 h when two letters picked without replacement from {j: 1, h: 8, d: 2, z: 2}? 14/39 Four letters picked without replacement from {r: 5, p: 3, x: 3, a: 1, h: 3}. Give prob of picking 1 r and 3 h. 1/273 What is prob of picking 2 s and 1 h when three letters picked without replacement from {s: 2, h: 11, z: 1, f: 1}? 11/455 Four letters picked without replacement from hnnihyt. Give prob of picking 1 t, 1 h, and 2 y. 0 What is prob of picking 1 k and 1 f when two letters picked without replacement from {k: 2, f: 2, u: 1}? 2/5 Calculate prob of picking 1 y and 1 o when two letters picked without replacement from yyyoyyyooyoyyy. 40/91 Calculate prob of picking 1 a and 1 o when two letters picked without replacement from ecoaa. 1/5 Four letters picked without replacement from ooooopoooopopooooo. Give prob of picking 2 p and 2 o. 7/68 Two letters picked without replacement from aaaaaaaaqaqq. Give prob of picking 2 a. 6/11 Three letters picked without replacement from {c: 2, e: 1, j: 1, p: 1}. What is prob of picking 1 p, 1 c, and 1 j? 1/5 What is prob of picking 1 e and 1 a when two letters picked without replacement from eazeeaeazzaeall? 5/21 What is prob of picking 3 b when three letters picked without replacement from {b: 4}? 1 What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 1, p: 2, x: 2, v: 2, l: 1, m: 1}? 1/36 Calculate prob of picking 3 b when three letters picked without replacement from hhhhbhbbhhhbhhhhbb. 5/204 Three letters picked without replacement from {t: 5, j: 8}. What is prob of picking 1 t and 2 j? 70/143 Two letters picked without replacement from {v: 1, q: 1, w: 1, m: 1, j: 1, f: 2}. What is prob of picking 1 m and 1 q? 1/21 Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {s: 6, a: 2, i: 7}. 4/35 What is prob of picking 2 t when two letters picked without replacement from ttttkktttttt? 15/22 Four letters picked without replacement from {o: 3, q: 4, c: 11}. What is prob of picking 3 c and 1 o? 11/68 What is prob of picking 2 p and 1 s when three letters picked without replacement from cpssssccspss? 7/220 Calculate prob of picking 2 f when two letters picked without replacement from {a: 3, v: 7, r: 1, c: 1, f: 4}. 1/20 Two letters picked without replacement from pfpxxpxppeeepxfxex. What is prob of picking 2 p? 5/51 Two letters picked without replacement from {t: 2, z: 1, m: 2, s: 4, r: 3}. What is prob of picking 1 t and 1 m? 2/33 Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 7, m: 5, g: 1, q: 1, l: 1}. 1/3 Four letters picked without replacement from pnzffpnpnf. Give prob of picking 2 f and 2 n. 3/70 Two letters picked without replacement from {d: 2, o: 8}. What is prob of picking 2 d? 1/45 Calculate prob of picking 2 y when two letters picked without replacement from yykyhyjyyyyyy. 15/26 What is prob of picking 2 f and 1 g when three letters picked without replacement from {g: 7, f: 7}? 21/52 Two letters picked without replacement from {o: 2, a: 2, b: 1, s: 1}. What is prob of picking 1 s and 1 b? 1/15 Calculate prob of picking 1 h and 1 q when two letters picked without replacement from hhhwbwwqqbssqqq. 1/7 What is prob of picking 2 g and 2 p when four letters picked without replacement from pgggpgggpggppgggpgp? 231/646 What is prob of picking 2 i and 2 l when four letters picked without replacement from {l: 1, a: 7, i: 2, k: 2}? 0 Three letters picked without replacement from {l: 3, x: 15}. Give prob of picking 3 l. 1/816 What is prob of picking 1 e and 1 d when two letters picked without replacement from {e: 3, q: 1, d: 5}? 5/12 What is prob of picking 1 s, 1 r, and 1 z when three letters picked without replacement from orrzs? 1/5 Three letters picked without replacement from {d: 1, t: 1, g: 3}. Give prob of picking 2 g and 1 d. 3/10 Two letters picked without replacement from nnfdfffiidifnifffnn. What is prob of picking 1 f and 1 n? 40/171 Three letters picked without replacement from sjjsjjjssjdsj. What is prob of picking 1 d and 2 s? 5/143 Four letters picked without replacement from {f: 7, a: 7}. Give prob of picking 3 a and 1 f. 35/143 Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {b: 2, l: 9, r: 2}. 1/143 Three letters picked without replacement from {p: 17, d: 2}. Give prob of picking 2 p and 1 d. 16/57 What is prob of picking 1 n and 1 r when two letters picked without replacement from nnninrnaraininaiiiii? 7/95 What is prob of picking 2 b when two letters picked without replacement from {b: 9}? 1 Calculate prob of picking 1 l and 2 i when three letters picked without replacement from llillillli. 7/40 Two letters picked without replacement from eueeeqeuueuqe. Give prob of picking 2 q. 1/78 Two letters picked without replacement from ffmmumfmmmmufunmmfn. Give prob of picking 1 u and 1 f. 5/57 Three letters picked without replacement from vyyvyyyytnny. Give prob of picking 1 n, 1 v, and 1 y. 7/55 Four letters picked without replacement from {a: 3, u: 1, x: 3, g: 3, s: 3, o: 1}. Give prob of picking 1 s, 1 u, and 2 a. 9/1001 Three letters picked without replacement from {l: 3, k: 2, y: 6, r: 2}. Give prob of picking 2 y and 1 r. 15/143 Three letters picked without replacement from {c: 2, b: 1, i: 2, u: 1, m: 1, q: 1}. What is prob of picking 1 c, 1 q, and 1 u? 1/28 Calculate prob of picking 1 c and 1 x when two letters picked without replacement from lttcwlxc. 1/14 Calculate prob of picking 2 d when two letters picked without replacement from dyyyyyyfdypyf. 1/78 What is prob of picking 2 d and 2 v when four letters picked without replacement from ppdpdpvidppv? 1/165 Four letters picked without replacement from bbcbcbbcca. What is prob of picking 4 b? 1/42 What is prob of picking 3 t when three letters picked without replacement from tttttt? 1 Calculate prob of picking 2 q when two letters picked without replacement from jjqqjqqqqqq. 28/55 Two letters picked without replacement from {c: 3, x: 2, g: 4}. What is prob of picking 1 c and 1 x? 1/6 Two letters picked without replacement from {g: 7, u: 6, d: 2}. What is prob of picking 1 u and 1 d? 4/35 Calculate prob of picking 2 d when two letters picked without replacement from sdsgsgddsdhddhh. 1/7 What is prob of picking 1 o and 1 w when two letters picked without replacement from {w: 3, o: 5, f: 1, n: 4, u: 5}? 5/51 Three letters picked without replacement from {g: 3, i: 4, o: 6}. Give prob of picking 2 i and 1 o. 18/143 What is prob of picking 2 o and 1 q when three letters picked without replacement from qqyoyooookqqosyoo? 14/85 Two letters picked without replacement from astdtgd. What is prob of picking 1 g and 1 d? 2/21 Two letters picked without replacement from {q: 1, g: 12, f: 7}. What is prob of picking 2 g? 33/95 Three letters picked without replacement from kvfdkdkbdbdkbdz. Give prob of picking 1 v, 1 k, and 1 z. 4/455 Three letters picked without replacement from {a: 2, r: 2, m: 1, z: 1, u: 1, h: 2}. What is prob of picking 1 m, 1 r, and 1 h? 1/21 What is prob of picking 2 j, 1 h, and 1 t when four letters picked without replacement from {h: 13, c: 1, t: 3, j: 3}? 39/1615 Two letters picked without replacement from {v: 17, n: 1}. What is prob of picking 2 v? 8/9 Two letters picked without replacement from yyqypqpypzf. Give prob of picking 1 p and 1 f. 3/55 What is prob of picking 2 e when two letters picked without replacement from {g: 1, q: 1, e: 13}? 26/35 Calculate prob of picking 1 b, 1 u, and 2 e when four letters picked without replacement from {e: 2, u: 2, s: 2, o: 1, b: 1}. 1/35 Calculate prob of picking 1 p and 1 d when two letters picked without replacement from {d: 1, p: 2, i: 2}. 1/5 Two letters picked without replacement from {z: 1, a: 3, t: 1, r: 2}. What is prob of picking 1 t and 1 z? 1/21 What is prob of picking 1 n, 1 d, and 1 t when three letters picked without replacement from ndwtwnwggnnwntwtwnd? 12/323 Two letters picked without replacement from {p: 3, o: 1}. Give prob of picking 1 o and 1 p. 1/2 What is prob of picking 3 n when three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
x**2 - 2*x + 4. Let u be o(1). Solve -5*v = z - 2, u = 4*z - 3*z + 4*v - 2 for z. 2 Let h(l) = l**3 - 5*l**2 + 4*l + 1. Suppose 2*v - 1 = -2*c + 5, 4 = -4*c. Let b be h(v). Let a = b - -1. Solve 3*s = 0, 3*s + 1 = -a*g - 1 for g. -1 Let t = 93 - 93. Suppose y = -z - 1 + 2, -y = 5*z - 17. Let f be ((-4)/(-3))/((-1)/y). Solve t*v + 4 = -c + v, -f*c + 2*v = 12 for c. -2 Let u be 2*-1 - (-7 - -6). Let c(z) = -3*z + 1. Let b be c(u). Suppose -4*r - 3*v = -9, 5*r - 2 = b*r - v. Solve t - 1 = 0, 2*h - 3*h - r*t + 3 = 0 for h. 0 Suppose 0 = -5*u + 2*u. Let d = 19 - -8. Suppose 0 = -h + 5*x + d, -4*x + x = 2*h + 11. Solve -3*q + 5*r + 4 = u, -r + 0 - h = -q for q. 3 Let y = 14 - 10. Solve -o = 5*b - y*b - 6, 0 = 3*o - 2*b + 2 for o. 2 Let l be 9/2 + (-1)/(-2). Solve -5*c = 4*v + 18, l*v = -0*v - 10 for c. -2 Suppose k = 1 + 14. Solve -10 = 2*l, -k = -s + 4*l - 2*l for s. 5 Let d = -25 + 30. Solve 3*b - 3 = -5*i + 2, -d*b = 25 for i. 4 Suppose -h - 1 = 5. Let z be 8/h*9/(-2). Suppose -y + 12 = 2*p, 2*y = 4*y - 2*p + z. Solve -y*w + 4*r + 6 = 0, -2*r + 0*r = 6 for w. -3 Let m = -7 + 7. Solve -q - 2*q - 6 = m, 8 = 2*l - 5*q for l. -1 Let x be (4/(-6))/(1/(-3)). Let b be (x + -3)*(-9)/3. Solve 2*r + 7 = -3*d, 5*d - b*r + 32 = d for d. -5 Let b = -1 - 0. Let s be (b + 22)*1 + 1. Let o(u) = u**2 - 4*u - 7. Let w be o(6). Solve w*p + v = -25, 0*v - s = 3*p + 2*v for p. -4 Let p(o) = -o - 6. Let j be p(6). Let c be (12/(-8))/(9/j). Solve -3*u - 3*a = 0, c*a = -u - 2*a + 3 for u. -1 Suppose -2*u = u + 9. Let a be (4 - 2)*u/(-2). Solve -3*q = -a*i - 27, 20 = -i + 3*q + 3 for i. -5 Suppose -6 = 2*x - 5*x. Let r be ((2 - 1)*x)/(-1). Let w be (0 + (r - -4))*1. Solve 4*y = -4*l - 8, -3*l = w*l + 3*y for l. 3 Suppose 2*s = 4*u - 32, -4 + 0 = 2*s. Let n = 0 + u. Solve 2*k + n*q = 3*q + 18, 3 = -2*k + 3*q for k. 3 Suppose -3*n = -4*h + 22, 2*n + 7 - 18 = -h. Let p be (-13)/2 - 2/(-4). Let v be (1/2)/((-1)/p). Solve v*j = 5*y - h, y = j + 4 - 3 for j. 1 Suppose -5*g + 5 = -5*u, -5*g - 3*u - 2 = -u. Let h = 2 + g. Solve -s + 5*n - 1 = -4*s, 0 = -5*s + h*n + 12 for s. 2 Let g = 14 - 12. Solve b - q - 1 = 0, g*q + 3*q = b - 17 for b. -3 Let l be (-10)/45 + (-38)/(-9). Let c be ((-6)/l)/(1/(-2)). Solve 4*y - c*v + 20 = 0, 2*v = 4*v - 8 for y. -2 Suppose -r + 3 = -0. Let m = -50 - -55. Solve -s - 4*o + 11 = -0*s, r*s + m*o - 19 = 0 for s. 3 Suppose 5*l - l = 4. Let b be (-161)/(-56) - l/(-8). Solve 5*d + 10 = 3*a, -b*a - 4 = -4*d - 15 for a. 5 Suppose c + 4*f - 18 = 0, -11 = -4*c - f + 1. Suppose y = c*y - 5. Solve -7*u + 3*u - y*m = -21, 0 = 4*m - 4 for u. 4 Let k be 46/2 + (1 - -1). Solve -c - 3*i - 6 = 1, 5*i + k = 5*c for c. 2 Let o(p) = -p**2 + 14*p + 21. Let z be o(15). Solve 3*n = 4*m + 2*n + 9, -2*n = -2*m - z for m. -2 Let x(j) = -j**3 - 4*j**2 + 3*j - 6. Let d = -16 - -11. Let t be x(d). Solve 17 - 3 = -3*w + a, 2*w = t*a - 26 for w. -3 Let i be ((4 - 8) + -3)*-1. Suppose -d = 3*d - 24. Suppose 0 = d*u - 3*u - 9. Solve -3*b - 7 = 2*r - i*r, -u*b = -3*r + 3 for b. 1 Let i = -7 - -12. Solve -3*o + 23 = o - i*f, 13 = 2*o - 3*f for o. 2 Let f(l) = l**3 - 5*l**2 + 3*l + 4. Let n be f(5). Let x(y) = y**3 - 13*y**2 + 4*y - 44. Let u be x(13). Solve -p = p - u, 0 = 3*z + 4*p - n for z. 1 Let i be 10/25 - 8/(-5). Suppose 0*z - i*z + 12 = 0. Let w(b) = 3*b**2 - 1. Let p be w(-1). Solve p*h + l - 3*l = -z, 4*h + 18 = l for h. -5 Let x be 0/2 - 0/(-2). Solve 3*c - 15 = -5*n, 4*c - 3*c + 5*n - 15 = x for c. 0 Let a be -3 + -4 + 1 + 12. Let r be a*(15/6 - 2). Solve -g + 3*s - 13 = 0, 2*g + r*s + 7 = -2*g for g. -4 Let l be (-1)/((-3 - -2)/10). Solve 2*y + 5*p - 5 = -2*y, 0 = -y + p - l for y. -5 Suppose -y - 2 + 4 = 0. Let c(p) = -p**2 + 7*p - 4. Let i be c(6). Let z be (-48)/(-30)*5/i. Solve -16 = z*a - 3*l + 7*l, 0 = 5*a - l + y for a. -1 Suppose 7 + 3 = 2*r. Suppose 0 = -2*y + r*y - 3. Suppose g + 1 - 6 = 0. Solve 2*a = 3*j + y, -4*a + g + 9 = -2*j for j. 3 Let h be (-3)/(-3 - 0 - -4). Let r(k) = k**3 + 2*k**2 - 3*k + 1. Let p be r(h). Let t = p - 1. Solve t = -m + 4*x + 13, -1 = 8*m - 3*m + 2*x for m. 1 Let g(i) = -2*i - 17. Let v be g(-11). Solve 5*a - y - 20 = 0, -v*a - 4*y + 35 = -2*a for a. 5 Suppose 44 = 5*d + 19. Solve 0 = -4*f - d*n - 16, n + 16 = -3*n for f. 1 Suppose 0*v - 4*v + 4 = 0. Let n(l) = 3*l**2 + l - 1. Let q be n(v). Solve -2*g - 4*i = 2*g - 20, q*g = i - 1 for g. 1 Let o be (-12)/6*(-2 + 1). Solve -4*l - 30 = o*z, 4*l - l + 10 = z for l. -5 Let g(x) = 2*x + 2. Let l = -5 + 8. Let m be g(l). Let v be (-12 - -15)/(6/10). Solve -m = -3*u + v*r - r, -3*r = u - 7 for u. 4 Suppose 41 = 3*x + 3*k - 2*k, 0 = k - 5. Suppose -f + 0*f = -x. Solve -12 = -4*q, 0 = 5*u - 3*q + 2*q - f for u. 3 Suppose 0 = 4*r - j + 3*j - 2, 0 = r + 3*j + 7. Suppose -4*x = -2*x - 3*l - 12, -20 = r*x + 5*l. Solve o + 2 = 0, -2*o + x*o - 7 = n for n. -3 Let y be (-322)/(-77) - ((-48)/(-22) + -2). Solve 0 = -y*o + 2*l + 4, -4*o + 6*o + 2*l = 2 for o. 1 Let y(p) = p**2 - p - 3. Let m be y(3). Suppose 13 = 4*t + 41. Let r = t + 9. Solve 9 = -w - 3*z - r, -7 = m*w - 4*z for w. -5 Let f = 8 - 6. Suppose 6 = y + y, f*s - 2*y + 12 = 0. Let g be (0 - (-2 - s))*-5. Solve -k + 7 = -o + 3*k, 0 = -4*o + g*k + 5 for o. 5 Suppose -1 = k - 4*o + 7, o = 5. Suppose 3*c = -c + k. Suppose -3*a + 9 - c = 0. Solve 3*i + d - a*d - 9 = 0, 2*i + 8 = -4*d for i. 2 Let g = -24 - -29. Solve 2*w - 7*w - 3*b = -3, -5*b = -w - g for w. 0 Let t(r) = 6*r**2 + 5*r + 9. Let j(l) = 5*l**2 + 5*l + 8. Let p(m) = -7*j(m) + 6*t(m). Let q be p(6). Solve d - 1 = 3*c, q - 1 = -5*c + 2*d for c. 1 Let m be (12 - 10)*(-16)/(-2). Solve -i + 3*r + 6 = 2*i, -5*r = -2*i + m for i. -2 Let k = -6 + -12. Let x = 21 + k. Solve 3*t - x = 3*s, -3*t = s + 2 + 3 for s. -2 Suppose -4*n + 3*w - 7 = -2*w, 2*w + 2 = 4*n. Solve 0*p - 23 = 2*l + 5*p, 0 = -5*l + n*p - 14 for l. -4 Let y(l) = -l**3 + 8*l**2 - 6*l + 2. Let o be y(7). Suppose -5*j = -2*j - o. Solve -s + 2*s + 9 = -j*m, -4*m = 3*s + 7 for m. -4 Let l be (-15)/(-10) - (0 - 6/4). Solve 5*b - l*r = -2*r - 13, 0 = -3*b + 5*r + 1 for b. -3 Let c(o) = -2*o + 10. Let t be c(5). Suppose 0 = -f + 4*q + 46, -6*q + q - 50 = -f. Solve -3*r - 5*w + f = t, 5*w - 3*w - 21 = -3*r for r. 5 Let f = -25 - -25. Solve 0 = -2*q + w - 5, 4*q + 45 = -f*w - 5*w for q. -5 Let q be (1 - 0)/((-2)/(-4)) + -2. Solve 12 = -r + 3*b - q*b, 5*r - 40 = -5*b for r. 3 Suppose 3*l = t - 17, -3*l + 2*l = 4*t - 3. Let j = 4 - t. Suppose 0*b = -4*o - 3*b + 2, -o = 2*b + 2. Solve -5*w = -o*d, d = j*w + 5*d for w. 0 Let p be (3 + 1)/(-4) + 3. Suppose 0 = -0*j + p*j - 26. Solve 3*y - k - j = 0, 5*k + 17 = 3*y - 0*k for y. 4 Let l(o) = -o**3 - 4*o**2 - 6*o - 4. Suppose 0 = -2*k - 3*h - 8, -3*k - 1 = -3*h + 11. Let u be l(k). Solve 0 = x + 5*i - u, -i + 6*i - 30 = -3*x for x. 5 Suppose z + 23 = 2*u, -u = -2*z - 0*z - 4. Suppose -k + 27 = -4*k. Let j = u + k. Solve 0 = -p - 0*p - 2*h - 3, 20 = -j*p - 5*h for p. -5 Let r = 2 + 0. Suppose 3*u = 2*u + 5. Solve 3 = d + b, r*d = -0*d - b + u for d. 2 Let h(x) be the second derivative of -x**5/20 + 7*x**4/12 + 11*x**3/6 - 9*x**2/2 - 9*x. Let y be h(8). Solve 0 = 3*b - i + 4*i - y, -5*b + i + 7 = 0 for b. 2 Let f(y) = 5*y + 7. Let t(o) = 10*o + 15. Let g(j) = -5*f(j) + 2*t(j). Let r be g(-2). Solve 5*n + r*v - 20 = 0, 4*n - n = 4*v + 19 for n. 5 Let z = 5 - -30. Suppose 5*r = -s - z, 3*r - s = -3 - 26. Let m = -5 - r. Solve -5*h = y + 15, 6 = 3*y - h + m for y. 0 Suppose 0 = q + 5 - 7. Solve -2*z + z = -2*l - 9, 0 = -2*l - q*z - 12 for l. -5 Suppose -j + 28 = -4*n, 3*j - 4*j - 4 = 4*n. Suppose 2*l + 6 = -10. Let g = j + l. Solve -4 - 14 = -5*y - 4*z, -2*y - g = -4*z for y. 2 Let k = 52 - 50. Solve -3*s - 22 = -4*y, -y - 3*y = -k*s - 20 for y. 4 Suppose 10*v - 13*v = 0. Solve 4*h - 2*b + 30 = v, 3*b = h + 4*h + 40 for h. -5 Let p be (13/2 - 5)/((-3)/(-4)). Solve 3*z + 3*l = -1 + 7, -p*l + 2 = 3*z for z. -2 Let i = 188 - 186. Solve 5*y = i*d - 5, 4*d - d + 27 = -4*y for y. -3 Let u(l) = -l**2 - 6*l + 5. Let m be u(-6). Solve 2*r = 4*q, m*r - 28 = q - 5*q for r. 4 Let c be (19 - -2)/3 + -3. Suppose 0 = 2*v + 3*v + d - 18, 4*d + c = -v. Solve -5*b + w = -4*w, -4*b = v*w + 32 for b. -4 Suppose 3*p - 4*m - 26 = 0, -3*p - 6 = -5*m - 37. Suppose 2*b + 10 = -p*k, -3*b + k + 2*k = 15. Let h = 9 +
{ "pile_set_name": "DM Mathematics" }
-3496*q**3 - 4842*q**3 - 2*q + 2*q - 2*q**2. -8338*q**3 - 2*q**2 Collect the terms in 31*v**3 + 828*v + 90*v**3 - 828*v. 121*v**3 Collect the terms in -70*n - 52*n + 179*n - 22*n**3 - 57*n. -22*n**3 Collect the terms in -31052171*i**3 + 0*i + 31052172*i**3 + 0*i + i - i. i**3 Collect the terms in -3308*b**2 + 1066*b**2 + 2246*b**2. 4*b**2 Collect the terms in -118*l - 122*l + 475*l - 119*l - 117*l. -l Collect the terms in 19 + 13*t - 5*t - 2*t + 4*t + 9*t. 19*t + 19 Collect the terms in -146 - 724*h + 246*h + 146. -478*h Collect the terms in -19 + 13 - 22 - 31*k**2 - 19. -31*k**2 - 47 Collect the terms in 5*u + 30454 - 30454 + 9*u. 14*u Collect the terms in 701*g**2 - 322*g**2 + 2*g**2 + 799*g**2. 1180*g**2 Collect the terms in -91507116 + 91507116 - u. -u Collect the terms in w + 21*w - w**2 - w**2 + 7*w - 21. -2*w**2 + 29*w - 21 Collect the terms in 7 - 2882*i**2 + 2884*i**2 - 7. 2*i**2 Collect the terms in -190*j**3 - 203*j**3 + 384*j**3 - 157. -9*j**3 - 157 Collect the terms in 10 + 10*m**3 - 12*m**3 + 15. -2*m**3 + 25 Collect the terms in -76 + 2*z**2 - z**2 + 76 + 34*z - 34*z. z**2 Collect the terms in -291*l + 71 + 134*l + 161*l. 4*l + 71 Collect the terms in -2*d**3 + 987*d + 998*d - 1985*d. -2*d**3 Collect the terms in 23*d**2 + 12*d**2 - 23*d**2 + 67 - 61. 12*d**2 + 6 Collect the terms in 9 + 5 - 4 - 19*s + 8 - 15. -19*s + 3 Collect the terms in 82*n + 9*n - 82*n - 1. 9*n - 1 Collect the terms in -14 + 125*j + 28 + 0 - 14. 125*j Collect the terms in -23*k**3 + 137*k - 23*k**3 + 48*k**3. 2*k**3 + 137*k Collect the terms in -456*l**3 - 1354*l**2 + 1354*l**2. -456*l**3 Collect the terms in 116704*a - 58269*a - 58439*a. -4*a Collect the terms in 33*h + 0 + 0 - 188*h + 36*h + 103*h. -16*h Collect the terms in -165775225 + 3*b + 165775225. 3*b Collect the terms in 32 + 317043*u**2 + 34 - 317048*u**2 - 66. -5*u**2 Collect the terms in 0 - 3 - o + 8*o - 6*o + 0*o. o - 3 Collect the terms in -1010*q + 3030*q - 1011*q - 1015*q. -6*q Collect the terms in -10 + 10337*m**3 - 10029*m**3 + 10. 308*m**3 Collect the terms in 105 + 63 - 225 + 57 + 25*c**2. 25*c**2 Collect the terms in 982*t - 48067 + 48067. 982*t Collect the terms in -2*y - 3445 + 2728 - 10095. -2*y - 10812 Collect the terms in -12*x**3 - 11*x**3 + 7 - 11*x**3 - 7. -34*x**3 Collect the terms in 6*s - 19*s + 13*s + 220*s**3 + 22*s**2. 220*s**3 + 22*s**2 Collect the terms in 27*s**3 - 373*s**3 + 29*s**3. -317*s**3 Collect the terms in -15373 + 15373 - 109*f**3. -109*f**3 Collect the terms in 4*u - 4*u - 360*u**3 + 12*u + 357*u**3. -3*u**3 + 12*u Collect the terms in -l**3 + 29013*l**2 + 29010*l**2 - 58006*l**2. -l**3 + 17*l**2 Collect the terms in 254360 - 254360 - 2*m. -2*m Collect the terms in -103 + x**2 - 981 + 154. x**2 - 930 Collect the terms in -235*g + 48*g - 93*g - 54*g. -334*g Collect the terms in -985 + 1978 - 17*w - 993 + 12*w. -5*w Collect the terms in 57*l**2 - 106*l**2 + 67*l**2 + 36*l**3 - 31*l**3. 5*l**3 + 18*l**2 Collect the terms in -2*d**2 - 863 + 285 + 287 - 22*d**2 + 291. -24*d**2 Collect the terms in 133*p + 7*p - 20*p - p + 2*p**3 - 3*p**3. -p**3 + 119*p Collect the terms in -190 + 61 - 15*v**2 + 66 + 65 + 4*v**2. -11*v**2 + 2 Collect the terms in 186913 + 4*i + 186920 - 373833. 4*i Collect the terms in 367*d**2 - 20 + 20 - 668*d**2 + 294*d**2. -7*d**2 Collect the terms in -7931*j + 15923*j - 7988*j. 4*j Collect the terms in -20*o + 15*o - o**2 - 5*o**2 + 9*o. -6*o**2 + 4*o Collect the terms in -235*a**2 - 227*a**2 - 155*a**3 - 234*a**2 + 696*a**2. -155*a**3 Collect the terms in -46*v**3 - 3*v + 138*v**3 - 40*v**3 - 25*v**3 + 3*v. 27*v**3 Collect the terms in -11 + 134*y**2 - 31*y**2 + 27*y**2 + 11. 130*y**2 Collect the terms in 833*w**2 + 493*w**2 + 774*w**2 + 680*w**2. 2780*w**2 Collect the terms in 15*f - 27 + 25 + 1 + 7*f. 22*f - 1 Collect the terms in 115*g**2 + 2*g - 30 - 82*g**2 + 23. 33*g**2 + 2*g - 7 Collect the terms in 526*t**3 - 215*t**3 - 319*t**3. -8*t**3 Collect the terms in -3838*f**3 + 1942*f**3 + 1921*f**3. 25*f**3 Collect the terms in -1206*g**2 + 1639*g**2 - 2 + 2. 433*g**2 Collect the terms in -263*m**2 - 259*m**2 - 257*m**2 + 780*m**2. m**2 Collect the terms in 0*w - 2*w + 0*w - 8*w + 3*w. -7*w Collect the terms in -507*o**2 + 0*o + 0*o. -507*o**2 Collect the terms in 40*g + 40*g + 52*g - 138*g - 2. -6*g - 2 Collect the terms in -38*m + 37*m + 60*m - 2 + 2. 59*m Collect the terms in 277*g + 253*g - 15*g**3 - 231*g + 1233*g. -15*g**3 + 1532*g Collect the terms in -63 - 1320*r + 1318*r - 35. -2*r - 98 Collect the terms in 5*n**3 - 45*n**3 + 4*n**3 + 31*n**3. -5*n**3 Collect the terms in 11*g**2 + 124*g**2 - 20*g**2. 115*g**2 Collect the terms in 38*r**2 - 609 - 611 - 610 + 1830. 38*r**2 Collect the terms in -t**2 - 6*t**2 + 2 + 3*t**2 - 440*t. -4*t**2 - 440*t + 2 Collect the terms in 39*s**2 - 154*s**2 + 71*s**2 + 49*s**2. 5*s**2 Collect the terms in 7103 + 229*d**3 - 3557 - 3546. 229*d**3 Collect the terms in 37*s**2 - 4599 + 4601 - 243*s**2. -206*s**2 + 2 Collect the terms in 731*x + 702*x - 1447*x. -14*x Collect the terms in -52375*h + 52375*h - 354*h**2. -354*h**2 Collect the terms in 111*w**2 - 768*w**2 - 2268*w**2. -2925*w**2 Collect the terms in -t**3 - 6*t**3 + 20*t**3 - 2*t**3 - 8*t**3 - 4*t**3. -t**3 Collect the terms in -72*o**3 - 34*o**3 - 8*o**3. -114*o**3 Collect the terms in -6 - 6*o + 19*o - 15*o - 7. -2*o - 13 Collect the terms in -60*j - 22*j - 3*j + 11*j. -74*j Collect the terms in -27*a**3 - 70 + 51*a**3 - 75*a**2 + 70 - 22*a**3 + 34*a**2. 2*a**3 - 41*a**2 Collect the terms in -42 + 17 + 21 - 9*y + 20*y**2. 20*y**2 - 9*y - 4 Collect the terms in -2055*k - 2291*k + 4357*k. 11*k Collect the terms in 24 - 69*b + 14 + 66*b + 9 - 47. -3*b Collect the terms in -5*k**2 - k**2 - 22*k**2 - 46*k**2. -74*k**2 Collect the terms in -3 - 92364*c - 1 + 4 + 92354*c. -10*c Collect the terms in -360*s - 370*s - 11*s**2 + 729*s. -11*s**2 - s Collect the terms in 115 - 115 - 22*r**3 - 447*r**3 - 490*r**3. -959*r**3 Collect the terms in 159871 + 499*d - 159871. 499*d Collect the terms in 21504*v**3 - 10742*v**3 - 10757*v**3. 5*v**3 Collect the terms in 13586 - 37*l + 10*l - 13584 + 19*l. -8*l + 2 Collect the terms in -24 + 6*k - 19*k + 29*k + 24 + k. 17*k Collect the terms in i**3 + 1013*i - 531*i - 474*i. i**3 + 8*i Collect the terms in 4*w - 5*w - 3460*w**3 + w. -3460*w**3 Collect the terms in 6*i + 34 - 5*i - 63 + 62. i + 33 Collect the terms in -691*u + 185*u + 310*u + 210*u. 14*u Collect the terms in 1387*q**2 + 5 - 1 - 4. 1387*q**2 Collect the terms in -12*h**3 + 7439*h**2 - 7439*h**2. -12*h**3 Collect the terms in 89 - 190 - 152 + 2*z - 131 - 183. 2*z - 567 Collect the terms in 0*h - 4*h + 5*h - 4*h - 14*h + 9*h. -8*h Collect the terms in -2*p**2 + 29185837*p - 29185837*p. -2*p**2 Collect the terms in 7*s - 21*s - 19*s - 7*s. -40*s Collect the terms in -22*u - 36*u**2 + 48*u - 8*u - 18*u. -36*u**2 Collect the terms in 3578*d - 3920*d + 339*d. -3*d Collect the terms in -30*q**2 + 23 + 7 + 10*q**2. -20*q**2 + 30 Collect the terms in -2*x**3 + 2*x**3 + 35937 - 35937 + 12*x**3. 12*x**3 Collect the terms in 2871*x - 2871*x - x**3 + 17*x**2. -x**3 + 17*x**2 Collect the terms in 166*p + 154*p - 304*p. 16*p Collect the terms in 303 + 311 + 300 - 914 - 4*h. -4*h Collect the terms in -10*f**3 - 2*f - 7 + 2*f**3 + 1 - 3*f**3 + 7. -11*f**3 - 2*f + 1 Collect the terms in 5 - 3109*t + 4293*t - 4. 1184*t + 1 Collect the terms in 2275*c**3 + 2259*c**3 - 6796*c**3 + 2259*c**3. -3*c**3 Collect the terms in 4 + 22*h - 92*h - h**2 + 70*h. -h**2 + 4 Collect the terms in -340*s**3 + 471*s**3 - 143*s**3. -12*s**3 Collect the terms in -43 - 40 - 256*o + 83. -256*o Collect the terms in 3089*l + 111 - 56 + 1043*l - 53. 4132*l + 2 Collect the terms in -143*c + 77*c - 168*c. -234*c Collect the terms in -n - 4 - n - 189*n**3 - 205*n**3 + 88*n**3 + 13*n**2. -306*n**3 + 13*n**2 - 2*n - 4 Collect the terms in -477*m - 1457*m - 1001*m. -2935*m Collect the terms in 22*j**2 - 10 - 50*j**2 + 29*j**2 + 29*j - 17. j**2 + 29*j - 27 Collect the terms in 52694 - 924*g - 52694. -924*g Collect the terms in -143*f + 268*f - 44*f. 81*f Collect the terms in 105*k**2 - 312*k**2 + 99*k**2. -108*k**2 Collect the terms in 20 - 12 + 148*r - 3 - 3. 148*r + 2 Collect the terms in -4*
{ "pile_set_name": "DM Mathematics" }
4*w + 8 for u. -4 Let t(b) = b**3 + 7*b**2 - b - 5. Let j be t(-7). Suppose 0 = 5*x + 2*p - 72, -x + 10 + 8 = 4*p. Solve -j*w - 2*a + x = -4*a, -5*a - 17 = 4*w for w. 2 Suppose h = -3*p + 2 - 5, -5*h = -3*p - 3. Solve j + h*y - 3*y = -2, j - 6 = -5*y for j. 1 Let k be (-27)/(-18)*(-8)/(-3). Solve -k*g + 2*r = -4, -g - 10 - 3 = 3*r for g. -1 Let z(o) = -o**3 - 3*o**2 - 4*o - 6. Let n be z(-3). Suppose l + 3*s - n = 0, 5*s = 5*l + s - 11. Solve 4*h = -12, 0 = -3*d + d - l*h - 19 for d. -5 Let g = -27 - -38. Suppose -g = -4*r - 3. Let b = r + 2. Solve -2*c + 3*h - 16 = -0*c, 2*h = -b*c for c. -2 Let k = 43 + -16. Suppose -i + 0*i = -21. Suppose -9 + i = 4*h + 2*u, -3*h = -3*u - k. Solve -2*x - h = 3*b + 20, 10 = -4*x + 2*b for x. -5 Let s(y) = 9*y**3 + y**2 - y + 1. Let v be s(1). Suppose 0*q = q - v. Suppose -q = -2*z + 2*f, 3*z + 9*f = 4*f - 25. Solve -4*b + 8 = z, l + 2*b = 1 + 2 for l. -1 Let p = 3 + 6. Let g(r) = 6*r - 7. Let u be g(5). Let d be (-16)/(-3) - (-2)/(-6). Solve a - 5 = -d*z, -p*a + 4*a - u = z for a. -5 Suppose 3*o + o = 3*h + 36, 4*h = 4*o - 52. Let c = -10 - h. Solve -2*b = 5*d + c + 2, b + 5*d + 4 = 0 for b. -4 Let i = -4 - -6. Solve -i*s + 6 = 2*m, -6*s - 25 = -3*m - s for m. 5 Let k = 119 - 71. Let s = -19 + k. Solve -3*p = -4*a - 7 + s, 4*a + 5*p = 6 for a. 4 Let q(o) = -o + 1 + 3 + 5*o. Let c be q(5). Suppose 3*z = 4*x - 8, -6*x = z - 2*x - c. Solve 3*a - 3*d = 18, 2*d + 3 = 3*a + z*d for a. 3 Let m = -19 + 34. Let s = 17 - m. Solve -2*b - s*k = k + 7, b + 2*k = -5 for b. 1 Suppose 0 = -c - 26*c + 108. Let r(w) = -4*w + 1. Let a(p) = -p - 6. Let f be a(-5). Let j be r(f). Solve 3*i - 20 = n, c*n + 0*n - j*i = -45 for n. -5 Suppose -5*j = -2*j - 9. Let n(y) = y + 6. Let g be n(-5). Let c = 4 + -4. Solve -b + 3*k + 15 = c, -j*k = 3*b - k - g for b. 3 Let r = 109 - 77. Solve -17 = -y + 3*p, 4*y + p - r = 4*p for y. 5 Let z = 64 - 53. Solve 4*d + z + 6 = 3*k, 5*d + 13 = k for d. -2 Let q = -14 + 11. Let f be -2 + (q - (-6 - -1)). Solve 0*r = -4*s + 5*r, f = -2*s - 5*r for s. 0 Let f(i) = i**3 + 9*i**2 - 8*i + 8. Let n be f(-10). Let r = 0 - n. Solve 2*k + r = -4*h, -5*h - 5 = 5*k - 0*h for k. 4 Let t(v) = v - 11. Let a be t(14). Solve 0 = 2*j + a*j + 5*i - 15, -j + 3 = -2*i for j. 3 Let b be (8/(-10))/((-1)/30). Solve 0*o + 9 = y + 2*o, 5*y = -3*o + b for y. 3 Let s = 4 + -4. Let g(v) = 3*v + 0*v - 2*v + 2. Let h be g(s). Solve h*o = j + 3, -5*o = -0*o - 4*j for o. 4 Suppose -21*z + 44 = -17*z. Solve 2*k + 2*v - 5 = -3*k, 2*k - v = z for k. 3 Let k be 5 - -15 - (0 - 0). Let l be 4/14 - 4/14. Solve -5*d + 32 = 3*s, l = 3*d + s + s - k for d. 4 Let x = 9 - 12. Let h be x/(-6) - (-21)/(-6). Let r be (-4)/(-12) + (-5)/h. Solve -4*d - 2*w + 12 = 0, -2*d - 3*w + 16 = r for d. 1 Let l(c) = c**2 - 8*c - 20. Let y be l(10). Solve 0 = -o + 4, 3*i + y*o - 5*o + 26 = 0 for i. -2 Suppose -h = -7*h. Solve 4*w = -u - 15, h = -4*w + 2*u + u - 3 for w. -3 Let n be (-12)/2*(-2)/4. Let i = 16 - -5. Let j = 46 - i. Solve 3*c + 0*c - 21 = n*h, -4*c + j = -3*h for h. -3 Let f = 14 + -30. Let l be f/(-8)*14/4. Solve 0 = 3*r - 2*s + 19, -4*s = 3*r - 0 + l for r. -5 Let t(c) = -2*c - 34. Let p be t(-19). Solve -6 + 0 = -p*w + o, -o - 2 = 0 for w. 1 Suppose 0*x - 8*x + 168 = 0. Solve 0*h - 3*t = 3*h + x, 5*h - 2*t = 0 for h. -2 Let k(x) = -x**3 + 8*x**2 - 5*x - 12. Let y be k(7). Solve 0 = -b - 4, 0 = 2*d + y*b - 3*b + 2 for d. -3 Let p(l) = 2*l + 18. Let m be p(-11). Let h be (m + 4)*(-3)/6. Solve h = -2*q - 5*r + 27, -2*r - r + 17 = 2*q for q. 1 Suppose -2 = -u + 5*u + 5*l, 2*u + 2*l = 0. Let r be 16/u + 9/(-3). Solve d = r*z - 3, 3*z + 4 + 2 = -2*d for z. 0 Suppose -2*f = 3*x - 28 - 1, -3*x = -5*f + 104. Suppose -3*g - 3*p = -5*g + f, 4*g - 5*p - 33 = 0. Solve -3*a = 4*q - 2*q - 8, -q + 5 = g*a for a. 2 Let g(h) = h**2 + 6*h + 4. Let k be g(-6). Suppose -4*t + b = -32 - 35, -2*b = -k*t + 70. Solve -3*r + 8 = n, -3*r = n - 2*n - t for n. -4 Let a be 1/3 + (-132)/(-9). Let i be 66/a + (-3)/(-5). Solve -2*f = -0*d - d - 3, 15 = -i*d + 5*f for d. -3 Suppose 0 = 4*h - 0 - 20. Let n = -5 + h. Suppose -22 = -4*o - n*z - z, -4*z - 17 = -5*o. Solve 3*m - 13 = 3*d + o, 0 = -4*m + 8 for d. -4 Let j be (-1)/((4/11)/(-4)). Suppose 0 = 2*z - 3 - j. Let p = -3 + z. Solve 5*x - 18 = 2*u, u = 5*x + p*u + 2 for x. 2 Suppose -15 + 3 = -3*s. Solve 0*o = l + 4*o - 24, 4*l + 4 = s*o for l. 4 Let t(c) = c**3 - 4*c**2 - 4*c + 5. Let h be t(5). Solve -5*m - 10 = -0*m - p, 0 = 5*m + 2*p + h for m. -2 Let i be ((-10)/(-8))/((-1)/(-4)). Solve -2*d + i*y = -6*d - 11, 2*d = 4*y + 14 for d. 1 Suppose 7*t = 4*t + 54. Let h = 22 - t. Solve -2*x - 12 = h*d - 42, 4*x + 3*d = 35 for x. 5 Let x(c) = c - 3. Let l be x(6). Suppose -l*h - 40 = -8*h. Let o = 14 - h. Solve -4*n + o*b - 16 = 2*b, -5*n = 2*b + 13 for n. -3 Let w(s) = 5*s**2 + 4. Let b be w(-2). Let y = b + -20. Solve 0*m - 24 = y*m + 3*d, 4*m - 3*d = 0 for m. -3 Let k(a) be the first derivative of -a**4/4 + a**2 + 5. Let j be k(-2). Suppose 9*p - 4*p - 10 = 0. Solve -5*f - 10 = -v, 0*f - j = p*f - 2*v for f. -2 Suppose 0 = -2*g - d - 63, -2*g = -0*g - 2*d + 54. Let y = -16 - g. Suppose -2*o - y = -b, -5*b - 5*o = -o - 70. Solve 2*m = -s - 1, -4*s = m - b - 3 for m. -3 Let w be 2 + 0 + (-1 - 4). Let a(r) = r**3 + 4 - 3*r + 2*r**3 + r**2 + r**2 - 2*r**3. Let d be a(w). Solve -5*x - 25 = 5*n, 0 = d*n + 2*x + 3*x + 25 for n. 0 Suppose -13 = -5*k - m + 10, 25 = 4*k + 3*m. Solve -15 = k*l - 3*c, -1 = 2*c - 3 for l. -3 Let q be (-105)/(-30) - (-1)/(-2). Solve q*t - 5 = -2*c, 5*t = -2*c - 0*c + 3 for c. 4 Let r(c) = 11*c - 3. Suppose -t + 5 = 10. Let b(x) = 34*x - 10. Let g(a) = t*b(a) + 16*r(a). Let f be g(2). Solve 2*k + 2*l - f = -k, 2*l - 6 = k for k. 2 Let d(y) = y**2 + 13*y + 15. Let a = -19 - -7. Let v be d(a). Solve -i - 3*i + 10 = -2*n, -v = -2*i + 3*n for i. 3 Let l = 2 - 16. Let j = l + 24. Solve 2*o = -j, -2*o = 5*u + 3*o + 45 for u. -4 Suppose -19 = 2*y - 49. Solve -d = -4*d - l + 8, 0 = -4*d + 3*l + y for d. 3 Let u(i) = i**2 - 2*i - 1. Let k be u(3). Solve 4*m + 3*n = 0, -k*m = -m + 3*n for m. 0 Let d(p) = -3*p**2 + 6*p - 4. Let u(z) = z**2. Let j(g) = -d(g) - 4*u(g). Let c be j(-4). Let f be 2/((-6)/(-9) - 0/7). Solve c = -3*q, f*x - 1 = 4*x - q for x. -5 Let j be (-1)/((1 - 3)/6). Solve u + 4*v - 5 = 0, -j*u = -4*v + 3 + 14 for u. -3 Let v be (0 - 1)/2*0. Let q(z) = z**2 + 9*z + 9. Let h be q(-7). Let u = h + 9. Solve 0 = j - v*g + 2*g - 5, -u*j - 1 = g for j. -1 Let g(m) = -m**3 + 8*m**2 + 9*m + 2. Let x be g(9). Solve -2*q - z - 7 = 0, 2*q + x*z + 9 = 3*z for q. -4 Suppose 0 = -0*o - 5*o + u + 58, -u + 50 = 4*o. Solve 2*x = -5*d + 11, -3*x - 2*d = -4*d + o for x. -2 Let l(c) = -c**3 + 6*c**2 + 5*c + 9. Let q be l(7). Let p = -5 - q. Suppose u - 5*u + 32 = p. Solve -5*w - 6 + 26 = 0, 4*x = 2*w - u for x. 0 Let d be 9/36 - 19/(-4). Let m(t) = -t**2 - t + 10. Let x be m(0). Solve 4*q + 12 = -2*i - 0, 5*i + d*q = -x for i. 2 Let q(n) = -n**2 - 6*n - 6. Let v be q(-5). Let u = 1 + v. Suppose 0 = 11*j - 4*j - 280. Solve -2*s = 3*i + 20, -5*s - 5*i + u*i = j for s. -4 Let y = 7 + -3. Suppose -6 = -2*t - 0*t + y*s, 2*t - 14 = 2*s. Solve 0*d - d - 2*v = 3, d - t = 5*v for d. 1 Suppose -2*d = -2 - 2. Solve -2*j - 25 = -5*r, 3*j = -d*r + 3*r - 18 for r. 3 Suppose 0 = 5*w - 10*w + 5. Solve -d + w = -4*j, -2*j + 4*d = 2*j + 16 for j. 1 Let w(v) = 20*v + 1. Let r be w(1). Let i = 0 + 12. Let m = r - i. Solve -m = 3*z - 0*z + 2*h, h = 2*z + 13 for z. -5 Let w = 8 - 2. Let n(z) = 5*z + 8 + 3 - 3 - z**2. Let i be n(w). Solve -5*y - 7*g - 5 = -i*g, 2*g + 8 = -4*y for y. -3 Let q(k) = 8*k**2 - k. Let g be q(1). Let i = g - 2. Solve 4*r = 4*u - 4, -16 = -4*u - i*r + 3*r for u. 3 Let z be (-70)/(-9) - (-22)/99. Let w be 1 - (-9 + 1 + -1). Solve 4*j + 4*n = j - w, 5*j + z = 2*n for j. -2 Let g(i) = -i**3 - 4*i**2 + i + 4. Let w be g(-4). Let p be (-4)/6 + (-11)/(-3). Solve -l - t + 4 = 0, w*l + p*t = 2*l + 2 for l. 2 Suppose 53 = 3*o + o - j, 5*j = 15. Let z = 7 + -2. Suppose 5*w = s + 20, 2*w - 12 - 23 = -z*s. Solve 0 = -r + 4*g + 7 + o, s*g = -3*r - 22 for r. 1 Let h = -10 - -14. Suppose h*r = 0, 0*r - 4*r - 10 = -2*f. Solve -q + 8 = -2*u, -f*u + 5*q = -u + 10 for u. -5 Let f(z) be the first derivative of -z**2/2 - 1. Let l be
{ "pile_set_name": "DM Mathematics" }
- 3, 4*u - 3*g - 72 = -136. Determine l(u). 8 Let u(b) be the second derivative of b**5/10 - b**4/4 - 19*b - 21. Give u(-1). -5 Let z be (-3 - 15/(-15))/(0 - 8/12). Let g(u) = 3*u**3 + 3*u**2 + 5*u + 3. Let w(n) = -7*n**3 - 6*n**2 - 11*n - 6. Let h(y) = 9*g(y) + 4*w(y). Calculate h(z). 6 Let c(m) be the first derivative of m**5/20 - m**4/3 - m**3/6 - 2*m**2 - 52*m + 3. Let l(n) be the first derivative of c(n). Give l(5). 16 Let h(g) = -9*g + 116. Let d(u) = -1. Let v(k) = -3*d(k) - h(k). Let t be v(13). Let b(m) = 5*m + 5. Calculate b(t). 25 Let y(k) = k**2 + 18*k + 81. Suppose 0 = 817*t - 821*t - 48. What is y(t)? 9 Let j(i) = 13*i**2 - 22*i + 93. Let g(x) = -16*x**2 + 21*x - 94. Let h(z) = 4*g(z) + 5*j(z). Give h(22). 1 Let m(j) = j**3 + j**2 - j + 27. Let x be (-12)/32 + 69/184. Determine m(x). 27 Let c be 8/(-36) - 0 - (-707)/63. Let u(l) = c + 3*l - 7*l + 2*l - 5. Calculate u(5). -4 Let f(z) = -3*z**2 - 12*z + 6. Let x(o) = 5*o**2 + 18*o - 9. Let t be 0*(-3 + ((-15)/(-6))/1). Let m = -8 + t. Let c(g) = m*f(g) - 5*x(g). Determine c(4). 5 Let i(a) = 3*a**2 - a - 2. Suppose -5*j + 4*o + 45 = 0, 5*j - 3*o = -2*o + 30. Suppose 42 = -4*h - j*y + 5, -h + 4*y = -17. Give i(h). 28 Let r(f) = -3*f + 2. Let w(x) = -x**2 + 17*x + 36. Suppose 66 = -10*n + 256. Let v be w(n). What is r(v)? 8 Let p(y) = -5*y**2 - 3*y - 1. Suppose z - 4*v = 4*z + 8, 0 = 3*z + v - 7. Let f be z/18 - (-440)/(-198). Give p(f). -15 Let t(c) be the third derivative of -29*c**4/12 - 173*c**3/6 + c**2 - 2204. Give t(-3). 1 Let z(o) = o**2 - 6*o - 4. Let j be z(7). Let u(s) = -s**3 - 5*s**2 - s + 6. Let x(m) = -m**3 - 8*m**2 + 8. Let t(w) = -4*u(w) + 3*x(w). Give t(j). 3 Let d(l) = -16*l - l**3 + 1019 - 1042 + 5*l - 11*l**2. What is d(-10)? -13 Let s(o) = -3*o**2 - 13*o - 3. Suppose 440*l - 399*l + 369 = 0. Determine s(l). -129 Let g(y) = -y**3 + 4*y**2 - 5*y + 3. Suppose -2*n + 2*m - 14 = -0*n, 0 = 2*n + 2*m + 22. Let w be -3*n/(-12)*80/(-12). Suppose -8*h + 17 = -w. Calculate g(h). -17 Let m(o) = 131*o + 2354. Let z be m(-18). Let u(s) = -2*s + 0*s + 3*s. Give u(z). -4 Let c(i) = -3*i + 14. Let o = -7685 - -7700. Determine c(o). -31 Let b = -28 - -31. Let l(w) be the second derivative of -w**5/60 + w**4/6 + 3*w**3/2 - 4*w. Let y(r) be the second derivative of l(r). Determine y(b). -2 Let g(p) = -p**2 - 15*p + 13. Suppose 134 + 155 = -31*a - 207. Calculate g(a). -3 Suppose 3*x + 53 = -0*d + 5*d, 3*d = -4*x + 26. Let m(r) = 4 + 6*r - 8*r - d. Let t(z) = z**3 - 56*z**2 + 622*z - 113. Let n be t(15). Give m(n). 10 Let o(f) be the second derivative of f**3/2 - 49*f. Let n = -44 + 45. Let i be (115/(-35))/n - 2/(-7). What is o(i)? -9 Suppose 2*y = 2*f + 3*y - 64, -5*f = 3*y - 162. Suppose -31*c = -f*c - 5. Suppose 0*d + 5*r - 8 = -d, -c*r = 5*d. Let b(z) = z + 1. Determine b(d). -1 Let j = -311 + 316. Suppose -17 = v + j*p, -v + 4*p = 3 - 22. Let c(u) = 2*u + 3. What is c(v)? 9 Let g(k) = -5*k**2 + 6*k - 7. Let p(t) = -t**3 + 10*t**2 + 12*t - 22. Let i be p(11). Let l(c) = 9*c**2 - 11*c + 13. Let v(u) = i*g(u) - 6*l(u). What is v(3)? 8 Let z = 44 + -14. Let j(t) = -t**3 + 30*t**2 + 2*t - 65. Let y be j(z). Let u(q) be the second derivative of q**4/12 + 7*q**3/6 + 3*q**2/2 - q. Calculate u(y). -7 Let c be 18/4*(-5772)/(-999). Let a(u) = u**2 - 19*u - 192. Determine a(c). -10 Let h(j) = 25*j + 194. Let s be h(-7). Suppose -10 = 5*c, 0*d + d - 24 = 3*c. Suppose -d*o = -s*o - 5. Let b(a) = 5*a + 2. What is b(o)? -23 Let n(f) = 7739*f - 3816*f + f**3 - 3930*f - 3 - 7*f**2 - 3. Suppose 3*g = -4*i + 47, 4*i - g = g + 22. Calculate n(i). 2 Let p(m) = -18*m**2 - 23*m + 90. Let a(j) = -10*j**2 - 12*j + 49. Let n(u) = 7*a(u) - 4*p(u). Calculate n(-6). 7 Let l = 0 - -4. Let a(f) be the first derivative of f**4/4 - 2*f**3/3 - 11*f**2/2 + 6*f - 4371. Give a(l). -6 Let v = -28 - -26. Let j(s) be the third derivative of s**7/420 + s**5/2 + 7*s**2 + 3. Let y(g) be the third derivative of j(g). Determine y(v). -24 Let r be (54/9 - 4)*1. Let m(h) = 5 + 33*h**r + 5*h + 41*h**2 - 72*h**2 + 2*h. Calculate m(-5). 20 Let x(t) be the second derivative of t**3/6 - 5*t**2/2 + 426*t. Let m = 17 + -10. Calculate x(m). 2 Let f(s) = 37*s + 45. Let m(x) = -21*x - 26. Let u(d) = -4*f(d) - 7*m(d). Let t(y) = -3*y - 1. Let o be t(-1). Determine u(o). 0 Let x be (-1 - (-3 - -4))*2. Let y be ((-2)/(16/(-12)))/(1/x). Let z(d) = -d**3 - 8*d**2 - 14*d - 13. Let s be z(y). Let f(g) = -5*g**2 - 1. Calculate f(s). -6 Let w = -28036 - -84110/3. Let a(n) be the second derivative of 5*n**2 - 33*n - w*n**3 + 0. What is a(4)? -6 Let m(v) be the second derivative of -v**4/6 + 16*v**3/3 - 19*v**2/2 - 8301*v. What is m(15)? 11 Let o = -47 - -52. Suppose -7*m = -5*s - 2*m + 70, 0 = -2*s - o*m + 21. Let x(t) = 2*t - 25. Let q be x(s). Let h(j) = -3*j + 1. Calculate h(q). -2 Let a(c) = -58*c**2 + 10*c + 8. Let v(x) = -9*x**2 + 2*x + 1. Let z(i) = a(i) - 6*v(i). Let r = 1 + 1. What is z(r)? -18 Let g(p) be the third derivative of p**7/1008 - p**6/720 - 7*p**5/12 - p**3/3 - 3*p**2 - 14*p. Let l(u) be the third derivative of g(u). Give l(-3). -16 Let w(k) = k**3 - k + 4. Let h(o) = -5*o**3 - 3*o**2 + 2*o - 23. Let x(l) = -h(l) - 6*w(l). Let z be (-2)/4*((-20)/(-5) + 2). Calculate x(z). 41 Let p(n) = -n - 10. Let w(b) = b**2 - b. Let y(t) = 2*t**2 + 6*t + 7. Let q(z) = -3*w(z) + y(z). Let g be q(10). Let a be (g/(-9))/(2/(-42)). What is p(a)? -3 Let d = -69 + 76. Let b(v) = -271*v + d - 274*v - 20 + 542*v. What is b(-9)? 14 Let j(o) = -15*o**3 + 1. Let w(y) = -86*y**3 + 3*y**2 + 2*y - 2. Let g be w(-1). Let d = g + -86. Calculate j(d). 16 Suppose -8*g + 5*s + 14 = -4*g, 4*g + s - 26 = 0. Let k(b) = b**3 - 5*b**2 - 9*b + 20. Determine k(g). 2 Suppose 39*t + 432 = 66*t. Let v(x) = -2*x + 15. What is v(t)? -17 Let s(g) be the first derivative of 2*g**3/3 + 8*g**2 + 8*g - 13. Determine s(-7). -6 Let g(y) be the second derivative of -y**5/20 - 2*y**4/3 + 11*y**3/6 - 19*y**2/2 - y - 1568. What is g(-9)? -37 Let f(x) = -x**3 + 6*x**2 - 6*x + 1. Suppose -3*m - 48 = -6*m. Suppose -4*r + m = -0. Suppose 0 = -5*i + 6*w - 2*w + 21, -24 = -r*i - 4*w. Give f(i). -4 Let c(z) = 46*z - 65. Let j(p) = -16*p + 23. Let m(t) = 4*c(t) + 11*j(t). Determine m(3). 17 Let i = 9 - 14. Let g(x) = -2*x**2 - 1. Let m(k) = -k**2 + 5*k. Let s(h) = 3*h**2 + 29*h + 4. Let b(d) = 6*m(d) - s(d). Let j(y) = i*g(y) + b(y). Give j(2). 7 Let x(y) = -5*y + 3. Let g = 41 - 29. Suppose -41*j = -35*j - g. Determine x(j). -7 Suppose -6*m + 5*m + 6 = 0. Suppose -7*q = -23 + 9. Let v(c) = 4 + 5*c**q + 7*c + 0*c**3 - 7 - c**3. What is v(m)? 3 Let k(q) = 3*q + 3. Suppose 0 = 8*z - 2389 + 2301. Calculate k(z). 36 Let k be (-3 + 1 - -6) + 34. Suppose 2*f + x = 93, f - 5*x + 235 = 6*f. Let m = k - f. Let j(q) = q**2 + 10*q + 6. What is j(m)? -10 Let d(f) = f - 4. Suppose 0 = -0*x + 2*x - 6. Let j = 2181 + -2177. Suppose 2*y - 8 = x*h - 20, -2*h = -j*y - 8. What is d(y)? -4 Let b(o) be the third derivative of -o**6/120 - o**5/20 + 11*o**4/24 + 7*o**3/2 + 5*o**2 - 87. What is b(-5)? 16 Let q = 51 + 582. Let s(m) = 1 - 3*m**3 + 4*m**3 - 213*m - 211*m + q*m - 215*m. Give s(-3). -8 Let d be 27/(-6)*2/(-3). Suppose -21*s + d*s = 54. Let j(y) be the second derivative of y**4/12 + y**3/6 + y**2 - 6*y. Give j(s). 8 Let x(n) = 7*n**3 + 3*n**2 - 6. Let l(t) = -5*t**3 - 4*t**2 + 7. Let s(f) = 4*l(f) + 3*x(f). Determine s(7). 10 Let s = -17 + -25. Let c = -44 - s. Let t be -4 - (c/(-12) + 475/(-114)). Let z(g) = -g - 4. Determine z(t). -4 Let g be 9 + -23 + -6 + 17. Let p(h) = 2*h**3 + 8*h**2 + 7*h + 5. Give p(g). 2 Let m(s) = 121 - 211 + 127 + 2*s + 7*s + 13*s. Calculate m(-2). -7 Suppose -3*o + 72 = 3*t, 0 = -2*t + 2*o + 18 + 10. Suppose -t*g + 14*g - 20 = 0. Let c(d) = -d**2 - 3*d + 2. What is c(g)? -2 Let x be (-2)/(-10) + (-42)/10. Let r(g) be the third derivative of -1/8*g**4 + 0 + 0*g**3 - 21*g**2 - 1/60*g**5 + 0*g. Calculate r(x). -4 Suppose 5*n = 4 + 16. Suppose 0 = -n*k - 20, -1 = 4*r + 2*k + 1. Let i be (6 - 9)/((-3)/r). Let y(w) = -w**3 + 4*w**2 - 4*w + 3. Determine y(i). 3 Let p(l) = -2*l**3 + 7*l**2 - 15*l + 30. Suppose -111 + 576 = 155*q. What is p(q)? -6 Let c(v) = -27*v + 14. Let d(l) = l**2 - 101*l + 57. Let i(n) = -9*c(n) + 2*d(n). Calculate i(-19). -69 Let n(s) = -s**2 + 8 - 15
{ "pile_set_name": "DM Mathematics" }
0470, -60580, -60688, -60794? -60898 What comes next: 4720397, 4720406, 4720415, 4720424? 4720433 What comes next: 8, -397, -1076, -2029, -3256? -4757 What is next in 4263, 8451, 12639, 16827, 21015, 25203? 29391 What comes next: 133985, 267945, 401905, 535865, 669825, 803785? 937745 What is the next term in 116, -20, -340, -844, -1532, -2404? -3460 What is next in -44296, -44338, -44412, -44524, -44680, -44886? -45148 What comes next: 17489, 18752, 20025, 21314, 22625? 23964 What comes next: -2033, -8262, -18645, -33164, -51801, -74538, -101357, -132240? -167169 What comes next: 21388, 24749, 28110, 31471, 34832? 38193 What comes next: -685, -4012, -12621, -29152, -56245, -96540, -152677, -227296? -323037 What is the next term in -17161326, -34322653, -51483980, -68645307, -85806634? -102967961 What comes next: -35692, -142611, -320802, -570259, -890976, -1282947? -1746166 What is the next term in -2425, -9339, -20813, -36847, -57441, -82595? -112309 What is next in 11167, 21846, 32525, 43204? 53883 What comes next: 9495, 18900, 28239, 37512, 46719, 55860, 64935? 73944 What is next in 2738220, 2738211, 2738192, 2738163, 2738124, 2738075? 2738016 What is the next term in 19865, 24247, 28629? 33011 What is the next term in -6157241, -6157254, -6157267, -6157280, -6157293, -6157306? -6157319 What comes next: -147243, -294379, -441515? -588651 What comes next: 38706, 77348, 115990, 154632, 193274, 231916? 270558 What comes next: -6042, -24004, -53944, -95862? -149758 What is next in 5484, 44719, 151744, 360621, 705412, 1220179? 1938984 What comes next: -6381, -26150, -59077, -105144, -164333, -236626? -322005 What is next in 169, 239, 465, 931, 1721, 2919? 4609 What is next in -4196, -5919, -7642? -9365 What is the next term in 19219, 146322, 489219, 1155808, 2253987, 3891654, 6176707, 9217044? 13120563 What comes next: -52268, -104833, -157398, -209963, -262528, -315093? -367658 What comes next: -16999505, -16999464, -16999423, -16999382, -16999341? -16999300 What comes next: -22662, -22866, -23066, -23262, -23454, -23642? -23826 What comes next: -15475791, -30951578, -46427365, -61903152, -77378939? -92854726 What is next in 3491725, 3491828, 3491931, 3492034? 3492137 What is the next term in 1056, 1049, 1052, 1071, 1112? 1181 What is the next term in -3119684, -12480206, -28081068, -49922264, -78003788? -112325634 What is the next term in 57372, 56574, 55776, 54978, 54180, 53382? 52584 What comes next: 652, 2924, 6978, 12964, 21032, 31332, 44014, 59228? 77124 What is the next term in -58709, -117417, -176101, -234755, -293373, -351949, -410477? -468951 What comes next: 1139, 2138, 2815, 3008, 2555, 1294, -937? -4300 What is the next term in -4442, -4704, -4972, -5246, -5526, -5812? -6104 What is next in 69238, 96689, 124140, 151591, 179042? 206493 What is the next term in 8505823, 17011649, 25517475, 34023301, 42529127, 51034953? 59540779 What comes next: 1138559, 2277118, 3415677, 4554236? 5692795 What comes next: -4988, -10033, -15078, -20123, -25168? -30213 What is the next term in -62309, -124784, -187261, -249740, -312221? -374704 What comes next: 999947, 999871, 999795, 999719, 999643, 999567? 999491 What comes next: -21661, -43531, -65401, -87271? -109141 What comes next: 10082, 29247, 81270, 182579, 349602, 598767, 946502, 1409235? 2003394 What comes next: -18057, -75175, -170385, -303693, -475105, -684627, -932265? -1218025 What comes next: -679, -2507, -5233, -8605, -12371, -16279, -20077, -23513? -26335 What is next in -332605, -332986, -333367, -333748? -334129 What is next in -176070, -176066, -176074, -176100, -176150, -176230, -176346, -176504? -176710 What comes next: -17159868, -137278855, -463316104, -1098230745, -2144981908, -3706528723, -5885830320, -8785845829? -12509534380 What comes next: 19236627, 19236659, 19236691, 19236723, 19236755, 19236787? 19236819 What is next in -1564, -3311, -5384, -7945, -11156, -15179, -20176? -26309 What is the next term in -1023158, -8185189, -27624976, -65481395, -127893322, -220999633? -350939204 What is the next term in 817, 1211, 1553, 1837, 2057, 2207, 2281? 2273 What is next in -3141359, -6282735, -9424111, -12565487? -15706863 What is the next term in 32653, 129394, 290665, 516472, 806821? 1161718 What comes next: -189276, -189345, -189414? -189483 What is the next term in 118127, 235924, 353721? 471518 What comes next: 108, 109, 30, -123, -344, -627, -966? -1355 What is next in -19756, -78321, -175928, -312577, -488268, -703001, -956776? -1249593 What comes next: 6161209, 6161204, 6161191, 6161164, 6161117, 6161044, 6160939? 6160796 What is next in -37327, -43563, -49799, -56035, -62271? -68507 What is next in -119961, -959714, -3239031, -7677690, -14995469? -25912146 What is next in 743902829, 1487805659, 2231708489? 2975611319 What is the next term in -226159, -225936, -225713? -225490 What comes next: -110060, -220091, -330122, -440153? -550184 What is next in -5618663, -11237319, -16855971, -22474619, -28093263, -33711903? -39330539 What comes next: 27631, 54390, 81145, 107896? 134643 What comes next: -4781013, -9562231, -14343451, -19124673? -23905897 What comes next: -18359860, -36719713, -55079566? -73439419 What is next in 161842, 163124, 165258, 168244? 172082 What comes next: -5518120, -5518163, -5518206? -5518249 What is next in 9008, 35494, 79530, 141116, 220252, 316938? 431174 What is next in -156, 66, 1020, 3072, 6588, 11934, 19476, 29580? 42612 What is the next term in -2817, -2897, -3171, -3735, -4685, -6117, -8127? -10811 What is the next term in 160, 281, 470, 739, 1100, 1565? 2146 What is the next term in 20093, 20024, 19967, 19922, 19889, 19868? 19859 What is next in 5175, 5094, 4987, 4854, 4695, 4510, 4299? 4062 What is the next term in 747, -705, -2157, -3609? -5061 What is next in 21484, 21305, 21126? 20947 What comes next: 361961, 723897, 1085833, 1447769, 1809705, 2171641? 2533577 What is the next term in -351, 291, 1151, 2337, 3957, 6119, 8931, 12501? 16937 What is the next term in -207604649, -207604648, -207604647? -207604646 What comes next: -20648, -22034, -23432, -24848, -26288, -27758? -29264 What comes next: -321331558, -321331559, -321331560, -321331561, -321331562? -321331563 What is the next term in 998368, 998382, 998386, 998374, 998340, 998278, 998182, 998046? 997864 What is the next term in 9170, 20018, 30878, 41756, 52658, 63590, 74558? 85568 What comes next: -17149, -17162, -17173, -17176, -17165? -17134 What is next in 342, 1177, 2556, 4467, 6898, 9837? 13272 What is next in -552861, -552861, -552867, -552879, -552897, -552921? -552951 What comes next: -11763, -11990, -12215, -12438, -12659, -12878, -13095? -13310 What is next in -827, -6525, -21983, -52079, -101691? -175697 What is next in -65833, -131965, -198397, -265129, -332161, -399493, -467125? -535057 What is next in 67942, 135911, 203878, 271843, 339806, 407767? 475726 What is the next term in 14805, 59164, 133095, 236598, 369673, 532320? 724539 What is next in -107347, -214674, -321983, -429274? -536547 What is next in 1534831, 1534828, 1534825, 1534822? 1534819 What is the next term in 35590, 142934, 321834, 572290, 894302, 1287870? 1752994 What comes next: -5014, -5698, -6380, -7048, -7690, -8294, -8848, -9340? -9758 What comes next: 51, 330, 987, 2178, 4059, 6786, 10515? 15402 What comes next: 204712, 408028, 611344, 814660? 1017976 What is the next term in -63606, -63570, -63514, -63438, -63342? -63226 What is the next term in -26124543, -104498158, -235120851, -417992622? -653113471 What comes next: -12713, -50915, -114617, -203813, -318497, -458663, -624305, -815417? -1031993 What comes next: 2991, 6123, 9405, 12837, 16419, 20151? 24033 What is next in 2880254, 2880269, 2880284, 2880299? 2880314 What is next in 93505, 187600, 281695, 375790, 469885? 563980 What is the next term in 11352, 39026, 85152, 149730, 232760, 334242? 454176 What is the next term in -152494112, -152494111, -152494110, -152494109, -152494108? -152494107 What is next in -6096, -12644, -19192, -25740? -32288 What is next in -1953230, -3906464, -5859698, -7812932, -9766166? -11719400 What is the next term in 528, 875, 1068, 1107, 992, 723? 300 What comes next: -1604, -565, 456, 1453, 2420, 3351, 4240
{ "pile_set_name": "DM Mathematics" }
841. Let d = 113 + -113.069. Let h = d + x. Round h to 0 decimal places. -7 Let m = -0.9019038 + 0.902. Round m to 6 decimal places. 0.000096 Let p = 21.69 + 0.31. Let q = -44.6 + p. Round q to zero dps. -23 Let u(y) = 16*y**2 + 18*y + 9. Let p be u(-26). What is p rounded to the nearest one hundred? 10400 Let k = 1635.237 - 1634. What is k rounded to 1 decimal place? 1.2 Let r = 39.6 + -2.74. Let g = 37 - r. Round g to one dp. 0.1 Let i = -4251716659 + 4251716679.23946917. Let h = i - 0.23947157. Let t = h - 20. What is t rounded to seven dps? -0.0000024 Suppose -4*v + 51 = 3*g, -v + g + 2 = -2. Suppose 5*h + 5*k = 0, v = 3*h - 3*k - 9. Let r be 21600/h*(-125)/(-10). Round r to the nearest one hundred thousand. 100000 Let c(y) = y + 4. Suppose -5*x + 5*d = 10, 4*x = 7*x + 3*d - 24. Let s be c(x). Let z be -6000*s/((-105)/1850). What is z rounded to the nearest 100000? 700000 Suppose -3*g = -0*g + 8670. Let t = -19190 - g. What is t rounded to the nearest 1000? -16000 Suppose -f - 2*i + 8 = -3*i, 3*i = 2*f - 14. Let p be 2 + (2 - f)*14. What is p rounded to the nearest ten? -110 Let c(d) = -16*d**2 - 10*d + 11. Let t be c(1). Suppose -n - 10 = -0*n. Let l = t - n. What is l rounded to the nearest integer? -5 Let s be (-211 + -1)*-1*(-22227)/(-6). Let k be 10190/2*(-102)/(-15). Let y = s + k. Round y to the nearest 100000. 800000 Suppose -2*t = -3*t + 2. Suppose -110 = -t*o + 1890. What is o rounded to the nearest 1000? 1000 Let z = -46.3 + -9.7. Let j = 119782.053 - 119726. Let m = z + j. What is m rounded to two dps? 0.05 Let k(j) = -307110*j**2 - 14*j - 40. Let p be k(15). Round p to the nearest one million. -69000000 Let b(r) = 322798*r**2 - 21*r - 19. Let v be b(-1). What is v rounded to the nearest 10000? 320000 Let r(q) = -342250*q**2 - 28*q - 56. Let j be r(-2). What is j rounded to the nearest ten thousand? -1370000 Let u(b) = -1857142*b + 6. Let v(j) = j**2 - 4*j - 9. Let s be v(7). Let m = s - 19. Let g be u(m). What is g rounded to the nearest 1000000? 13000000 Let i = -0.082 + 0.06. Let n = -17.672 - i. Let c = 17 + n. Round c to one decimal place. -0.7 Let v = -5 - -7. Suppose 5101 = -4*u + 2*p - 2519, v*p + 9507 = -5*u. Let x be u + 4*9/12. Round x to the nearest one thousand. -2000 Let s = -2305102 + 2305106.3000112. Let p = s - 4.3. Round p to five dps. 0.00001 Let g = 14.800001097 - 14.8. What is g rounded to 7 decimal places? 0.0000011 Let j = -14698 + 14731.524. Let t = j + 0.076. Round t to 0 dps. 34 Let f = 7 + -4. Let g be ((-18)/(-8))/(f/567176). Let c = 214618 + g. What is c rounded to the nearest one hundred thousand? 600000 Let u(j) = -2*j**2 - j + 2. Suppose r = -4*r. Let z be u(r). Suppose -h = -5*o + 72010, -z*o - 3*o = 2*h + 143990. Round h to the nearest ten thousand. -70000 Let n = -114 + 1. Let a = 72 + n. Round a to the nearest 10. -40 Let y = -1 - -49. Let o = y + -48.0000039. What is o rounded to six dps? -0.000004 Let b = -101.3 - -96. Let h = -5.29999456 - b. Round h to 7 decimal places. 0.0000054 Let d be (-22)/(-6) + (-4)/6. Suppose 0 = -6*v + d*v. Suppose -k + 4*k - 123000 = v. What is k rounded to the nearest 10000? 40000 Let v = -55.78740849 + 50.3174115. Let n = -5.47 - v. Round n to seven decimal places. -0.000003 Suppose -4*o - 2*j = -14284006, 0 = 4*o - 2*j + 1384533 - 15668527. What is o rounded to the nearest one million? 4000000 Let y = 8.16993644 + -8.17. Round y to 5 decimal places. -0.00006 Let o = 0.26 - 0.444. Let m = 158430.183907 - 158430. Let n = m + o. Round n to 5 dps. -0.00009 Let r = -0.2514 + 0.4996. What is r rounded to 2 decimal places? 0.25 Suppose -97*r + 100*r + 5535 = 0. What is r rounded to the nearest 100? -1800 Let f = -113.59343 - -113.6. What is f rounded to four dps? 0.0066 Suppose 41*r + 62183 = -60489. Round r to the nearest 100. -3000 Let x = -22 - -22. Let d = x + 2. Suppose -3 = d*l - 119. What is l rounded to the nearest ten? 60 Let h = -508.63 - -511. Let r = h + -2.3962. Round r to 3 dps. -0.026 Suppose 5*g - 5*f = 5, -17 = -3*f - 2. Suppose 0 = -5*d - 2*t + 612, t + 10 = g. What is d rounded to the nearest ten? 120 Let k be 22503/9 + 4/(-12)*1. Round k to the nearest one thousand. 3000 Let o = -42.598 + 0.098. Let p = -45.96 - o. What is p rounded to one decimal place? -3.5 Let a = -1987 - -1989.756. What is a rounded to two decimal places? 2.76 Let r(h) = h**3 - 4*h**2 + h - 1. Let o = -4 + 8. Let l be r(o). Suppose -465000 = -l*b - 0*b. What is b rounded to the nearest 10000? 160000 Let n(u) = 10494*u - 66. Let v be n(-1). Round v to the nearest one hundred. -10600 Let b = -57.08 - -57. Let f = b - -0.041. What is f rounded to 2 decimal places? -0.04 Let p = -0.01024 + 31.22024. Round p to 0 decimal places. 31 Suppose -2*o - 1731 = -5*o. Let d be (-1 + -22)/((-1)/1). Let w = o + d. What is w rounded to the nearest one hundred? 600 Let q = -101 + 101.388. Let c = q - 0.3879823. Round c to 5 decimal places. 0.00002 Let a = 0.894576518 - 44.994595418. Let i = -412.9 - -457. Let h = i + a. Round h to 6 dps. -0.000019 Let l be 18/99 + 3450/22. Let c = 432 - l. What is c rounded to the nearest 10? 280 Let j(g) = g**3 + 5*g**2 + 3*g - 1. Let z be j(-4). Suppose z*w = -w + 20. Suppose 2*k - w*k = 153. Round k to the nearest 10. -50 Let l be (-3)/2*(-5 + (-102)/(-18)). Let d be 8875/(l/160 - 0). What is d rounded to the nearest 100000? -1400000 Let x = -1293 + 1292.9407. Round x to three dps. -0.059 Let d = -1486 + -3124. Round d to the nearest 100. -4600 Let f = 0.0453 + -0.5283. What is f rounded to one decimal place? -0.5 Suppose -9*z = -14*z + 25. Suppose -z*f - 4215 = -0*s + s, -2*s + 2*f = 8466. Round s to the nearest 1000. -4000 Let o = 1614339175.99999871 + -1614339187. Let c = o + 11. Round c to 6 decimal places. -0.000001 Let b = 480 + -479.91805. What is b rounded to 3 decimal places? 0.082 Let o = -2 + 1.9. Let h = 48 - 43.5. Let u = o + h. Round u to the nearest integer. 4 Let n = -10.912 - -11.991724. Let f = 1.08 - n. What is f rounded to 5 dps? 0.00028 Suppose 5*w = -w + 640026. Suppose -4*t + 4*x = 142228, -x = -3*t - 0*x - w. Let i = -91443 + t. Round i to the nearest 10000. -130000 Let c = 433 - 432.9997288. Round c to five decimal places. 0.00027 Let l be (-6)/15 + (-13)/5. Let r be (l/4)/(1/60). Let s be (-320)/((-5)/(r/2)). Round s to the nearest one hundred. -1400 Let z(p) = -3*p + 2 + 16533*p**2 - 29*p + 15*p. Let t be z(7). Round t to the nearest 100000. 800000 Suppose 15*u - 6637 = 25508. Suppose -3*y - 5*m + 2137 = 0, 3*m + u = -5*y + 5678. What is y rounded to the nearest one hundred? 700 Let w be (196875/(-210))/((-1)/(-299904)). What is w rounded to the nearest one million? -281000000 Let k(c) = -2*c**2 - 10*c + 12. Let u be k(-6). Suppose 0 = -3*q - u*q + 72. Let g be (-290)/(-3*1/q). Round g to the nearest 100. 2300 Let t = -0.654 - -0.66214. Round t to 3 dps. 0.008 Let d = 1076 + -961.7. Let z = 114 - d. Round z to the nearest integer. 0 Let n = -1256 - -1256.00006356. Round n to five dps. 0.00006 Let x = 9 - 24. Let h = 31 + x. Let b = 15.92 - h. Round b to one dp. -0.1 Let i be 42/1*3/9. What is i rounded to the nearest 100? 0 Let x = 3259.35 - 3098. Let g = 158 - x. Let a = -3 - g. What is a rounded to one dp? 0.4 Let c(s) = -715*s. Let r(v) = -2144*v - 1. Let n(z) = -7*c(z) + 2*r(z). Let l be n(5). Let h = l + -5093. Round h to the nearest 100. -1500 Suppose 23313 = -d + 7313. Let n be (d/3)/(17409/(-5805) - -3). Round n to the nearest one million. -5000000 Let g = -10 + 8. Let m be g/(-8) - (-1)/(-4). Suppose m = 4*s - 2 + 22. Round s to zero decimal places. -5 Suppose 24*g - 25*g = -174300. Let h be (3/1 + (-114)/18)*g. Round h to the nearest 100000. -600000 Let z = -9 + 5. Let g = -37.86 + 41.863. Let x = z + g. What is x rounded to three dps? 0.003 Suppose 2*r + 20 = 4*l - r, 5*r = 0. Let o be (168/9)/(l/1312500). What is o rounded to the nearest 1000000? 5000000 Let c = -2.1 + 1.4. Let j = -0.63 - c. Let s = 0.07000008 - j. Round s to 7 decimal places. 0.0000001 Let r be 2/(4/3)*-2. Let h = 9 + r. Let d be (h + -4 + -2)/2. Round d to four decimal places. 0 Let v = -207 + 206.6212. What is v rounded to 2 dps? -0.38 Let o = 1.2 - -9.8. Let p = o - 11.2. Let k = p - -0.23. What is k rounded to two decimal places? 0.03 Let r
{ "pile_set_name": "DM Mathematics" }
*2 - 6*p**3 = 0. -3, -1, -1/3 Factor 311 - 56*v - 215 + 0*v**2 + 3*v**2 + v**2. 4*(v - 12)*(v - 2) Let l be (-19)/(-57) + (-10)/(-6). Let w = -131 - -394/3. Factor w*i - 1/3*i**3 + 1/3 - 1/3*i**l. -(i - 1)*(i + 1)**2/3 Suppose -2*x = -7*x + 10. Solve 0 - a**2 - 7*a**2 - 2 - 2*a**3 + x*a**2 - 6*a = 0 for a. -1 Let t(f) be the second derivative of -9*f + 4*f**2 - 1/2*f**4 + 0 + 0*f**3 + 1/10*f**5. Factor t(k). 2*(k - 2)**2*(k + 1) Suppose -5/2*s**3 + 2*s + 1/2*s**4 + 1/2*s**5 + 2 - 5/2*s**2 = 0. What is s? -2, -1, 1, 2 Let t(x) be the second derivative of -x**7/525 + x**6/300 + x**5/75 + 8*x**2 + 3*x. Let w(o) be the first derivative of t(o). Suppose w(c) = 0. Calculate c. -1, 0, 2 Let m(z) be the second derivative of -z**5/20 + z**4/2 + z**3 + 9*z**2/2 - 18*z. Let y be m(7). Determine w, given that -1/4*w**3 - w**y - 1/2 - 5/4*w = 0. -2, -1 Let m be 380/270 + (-2)/27. Solve -4/3 - m*s**2 - 10/3*s = 0. -2, -1/2 Let g(o) be the third derivative of 0 + 0*o**4 + 1/24*o**5 + 0*o**6 + 0*o + 0*o**3 - 9*o**2 - 1/84*o**7. Factor g(m). -5*m**2*(m - 1)*(m + 1)/2 Let w(n) be the second derivative of n**7/210 + n**6/75 - 3*n**5/100 - n**4/15 + 2*n**3/15 + 18*n + 1. Find x, given that w(x) = 0. -2, 0, 1 Let n(g) be the third derivative of 1/945*g**7 - 1/270*g**6 + 0*g + 4/27*g**3 + 0 - 1/90*g**5 + 26*g**2 + 1/27*g**4. Factor n(d). 2*(d - 2)**2*(d + 1)**2/9 Suppose -2*b + 5*p + 19 = 0, 0 = -5*p + 10 + 5. Let x = b - 14. Factor 1 - o**3 - 3*o**x + o + 7*o**3 - 5*o**2. (o - 1)**2*(3*o + 1) Let y(n) be the second derivative of n**4/6 - 3*n**3 + 3*n**2/2 + 2*n - 3. Let t be y(9). Let -1/3*u**2 + 1/3 + 1/3*u**t - 1/3*u = 0. Calculate u. -1, 1 Let z(o) = -14*o**3 - 2*o**2 - 8. Let h(p) = 2 + p**2 + 8*p**3 + 1 - 3*p**3. Let j(w) = -8*h(w) - 3*z(w). Factor j(b). 2*b**2*(b - 1) Suppose -50*v + 47*v - 9 = -5*j, -4*j - 5*v + 22 = 0. Solve -1/3*m**j + 1/6*m - 1/6*m**2 + 0 = 0. -1, 0, 1/2 Let l(x) be the second derivative of -x**6/90 + 2*x**5/15 - 2*x**4/3 - x**3/3 + 8*x. Let q(u) be the second derivative of l(u). Factor q(b). -4*(b - 2)**2 Let p(h) be the first derivative of 6/5*h**5 + 11/2*h**4 + 8*h**3 + 0*h - 19 + 4*h**2. Factor p(v). 2*v*(v + 1)*(v + 2)*(3*v + 2) Let p be -3*4/3*-1. Suppose -5*o = -2*d - p*o + 9, -d = o. Factor 18/7*b**d + 8/7*b**4 + 2/7*b + 12/7*b**2 + 0. 2*b*(b + 1)**2*(4*b + 1)/7 Let z(x) be the first derivative of 2*x**6/15 - 16*x**5/25 + x**4 - 8*x**3/15 + 216. Factor z(m). 4*m**2*(m - 2)*(m - 1)**2/5 Let n(m) = -4*m - 12. Let w be n(4). Let q = w - -32. Let 23*r + q - 31*r + 9*r**2 + 28*r = 0. What is r? -2, -2/9 Suppose 0 + 76/7*k**2 + 8/7*k + 128/7*k**3 + 60/7*k**4 = 0. What is k? -1, -2/15, 0 Let f be 16/(-154)*319/(-58). Solve -8/7 + f*x**2 + 4/7*x = 0 for x. -2, 1 Let q(k) be the first derivative of -k**8/5880 - k**7/588 - k**6/315 + 16*k**3/3 + 16. Let o(x) be the third derivative of q(x). Factor o(c). -2*c**2*(c + 1)*(c + 4)/7 Let v(g) be the first derivative of -g**5/5 + g**4/4 - g**2/2 + g + 8. Let t(u) = -8*u**2 - 4*u + 4. Let i(h) = -t(h) + 4*v(h). Let i(m) = 0. Calculate m. -1, 0, 2 Let j = 112/1089 + 1/121. Suppose j*x**2 + 5/9*x + 0 = 0. What is x? -5, 0 Let o be 517/55 - 9 - 1796/(-10). Let c = 1265/7 - o. Suppose c*h - 1/7*h**3 - 1/7*h**2 - 3/7 = 0. Calculate h. -3, 1 Let k(f) = -2*f - 7. Let a be k(-4). Let i be a - 2 - 3*-1. Factor -3*d**3 - 13*d + 8*d - 19*d - 15*d**i - 12. -3*(d + 1)*(d + 2)**2 Factor 6/11*l**3 - 6/11*l + 4/11 - 4/11*l**2. 2*(l - 1)*(l + 1)*(3*l - 2)/11 Let p be 0*((-28)/(-8))/7. Suppose -g - g + 3*d = -19, p = -g - 3*d - 13. Factor -m + 5*m**2 - g*m**3 - 13 + 11 + 0*m**3. -(m - 2)*(m - 1)*(2*m + 1) Factor -34*d + 39*d**2 - 59*d + 0*d**4 - 150 + 3*d**4 - 42*d - 454*d**3 + 481*d**3. 3*(d - 2)*(d + 1)*(d + 5)**2 Let c(a) be the first derivative of 4*a**2 - 4*a - 4/3*a**3 - 11. Let c(f) = 0. Calculate f. 1 Let w = 173 - 83. Let s = -87 + w. Determine o so that 0 + 0*o - 1/2*o**5 - 6*o**3 + s*o**4 + 4*o**2 = 0. 0, 2 Let o(j) be the first derivative of -j**9/18144 - j**8/2520 - j**7/1260 + 6*j**3 + 5. Let d(c) be the third derivative of o(c). Factor d(y). -y**3*(y + 2)**2/6 Let f(b) be the third derivative of 0*b**3 + 0 + 7/60*b**6 - 1/35*b**7 + 0*b + 1/12*b**4 - b**2 - 1/6*b**5. What is w in f(w) = 0? 0, 1/3, 1 Let l(m) be the first derivative of -7*m**4/9 + 152*m**3/27 - 22*m**2/9 - 80*m/9 + 162. Factor l(d). -4*(d - 5)*(d - 1)*(7*d + 4)/9 Suppose 9*u + u - 20 = 0. Let z(r) be the second derivative of -3*r**2 + 7/2*r**3 - 1/2*r**4 - 9/20*r**5 - u*r + 0. Factor z(i). -3*(i - 1)*(i + 2)*(3*i - 1) Let n(y) be the second derivative of y**9/98280 + y**8/43680 + 7*y**4/12 - 27*y. Let f(c) be the third derivative of n(c). What is x in f(x) = 0? -1, 0 Solve 2*z**5 + 4*z**4 - 16*z**2 - 15*z**3 + 256*z + 8*z**3 - 256 - 26*z**3 - 7*z**3 = 0 for z. -4, 2 Let y(f) = 3*f**3 - 17*f**2 + 6*f - 69. Let k be y(6). Let -16/15*a**2 - 2/15*a**4 + 6/5 + 4/5*a**k - 4/5*a = 0. What is a? -1, 1, 3 Let t(w) be the second derivative of -w**5/10 - 15*w**4 - 675*w**3 - 10*w - 1. Factor t(m). -2*m*(m + 45)**2 Suppose 0 = 4*s + 16, -4*v + 5*s + 30 = v. Suppose 0 = -2*i - 2*n, i - v*n = -0*n + 6. What is f in f**2 + 2*f**3 + 2*f**2 - f**i + 0*f**3 = 0? -1, 0 Let 2/5*g**3 + 0*g - 108/5*g**2 + 0 = 0. Calculate g. 0, 54 Let a be ((-3)/6)/(2/(-132) - 0). What is u in a*u**3 - 11*u**4 - 2*u - 18*u**4 - 17*u**4 + 9*u**4 + 13*u**5 - 7*u**2 = 0? -2/13, 0, 1 Factor -40 - 10*z**2 + 11*z**3 - 74*z - 4*z**4 - 3*z**3 + 14*z**2 + 5*z**4 - 31*z**2. (z - 4)*(z + 1)**2*(z + 10) Let c(p) = -10*p**2 + 140*p - 490. Let q(s) = 2*s**2 - 28*s + 98. Suppose 11*k = 8*k - 6. Let h(a) = k*c(a) - 11*q(a). Factor h(d). -2*(d - 7)**2 Suppose -6*r + 16 = -2*r. Let y = r + -1. Factor 2*b**2 + y*b**3 + 2*b**3 - 3*b**3. 2*b**2*(b + 1) Factor 106*n**2 - 3422*n**3 + 105*n + 96*n**4 - 3*n**5 + 84*n**2 + 3728*n**3 + 122*n**2. -3*n*(n - 35)*(n + 1)**3 Let m be 54/459 + (-38)/34. Let i be 7 - (6 - m - (-12)/(-4)). Let -2*b**4 - 2/3*b - 4/3 + 10/3*b**2 + 2/3*b**i = 0. What is b? -1, -2/3, 1 Let m(q) = -68*q - 1016. Let h be m(-15). Factor -162/7*d**5 + 0 + 40/7*d**2 - 236/7*d**3 - 2/7*d + 360/7*d**h. -2*d*(d - 1)**2*(9*d - 1)**2/7 Let d be (-3 - (1 - 3))*-8. Let z = 12 - d. Factor 3*y**z + 6*y**2 - 12*y**2 + 3*y**2. 3*y**2*(y - 1)*(y + 1) Let x(i) = i**3 - 10*i**2 - 41*i + 28. Let l be x(13). Let r(z) be the first derivative of -6 + 0*z**3 - 1/2*z**4 + 3*z**l + 4*z. Factor r(q). -2*(q - 2)*(q + 1)**2 Let 554*m**3 - 279*m**3 + 20*m - 278*m**3 - 8*m + 96 - 24*m**2 = 0. Calculate m. -8, -2, 2 Let s(h) be the first derivative of -2*h**6/9 - 4*h**5/15 + h**4 + 20*h**3/9 + 4*h**2/3 + 127. Find j, given that s(j) = 0. -1, 0, 2 Let k(y) be the third derivative of y**6/6 - 67*y**5/15 + 43*y**4/3 - 16*y**3 - 169*y**2. Factor k(n). 4*(n - 12)*(n - 1)*(5*n - 2) Let h(q) be the third derivative of q**6/180 + 17*q**5/360 + q**4/36 - 59*q**2. Factor h(j). j*(j + 4)*(4*j + 1)/6 Let i(r) be the third derivative of r**8/896 - r**6/160 + r**4/64 - 107*r**2. Factor i(t). 3*t*(t - 1)**2*(t + 1)**2/8 Let v(g) be the third derivative of 0 + 1/30*g**5 - 1/35*g**7 - 5/12*g**4 + 2/3*g**3 + 1/12*g**6 + 0*g - 7*g**2. Find j such that v(j) = 0. -1, 2/3, 1 Let c(v) = -v**3 - 5*v**2 + 23*v - 8. Let l be c(-8). Find r, given that 0 + 0*r**2 - 4/11*r**4 - 2/11*r**5 + l*r - 2/11*r**3 = 0. -1, 0 Factor 56/11 + 1/11*g**2 - 18/11*g. (g - 14)*(g - 4)/11 Let s = -84 - -86. Factor 48*p - 8 + 71*p**2 + 200 - 68*p**s. 3*(p + 8)**2 Suppose 5*s - 22 = 25*h - 22*h, -5 = 5*h - 2*s. Let u be 6/(-9)*(h + -7). Let -3/8*o**u - 3/4*o + 3/8*o**2 + 3/4*o**3 + 0 = 0. Calculate o. -1, 0, 1, 2 Let q = -5262/19 + 20723/114. Let j = 4189/42 + q. Factor -2*x - 2/7 - 16/7*x**2 + j*x**3. 2*(x - 1)*(4*x + 1)**2/7 Suppose 4*x**5 + 52/3*x - 8/3 - 64/3*x**4 - 40*x**2 + 128/3*x**3 = 0. Calculate x. 1/3, 1, 2 Let o(a) = -a**3 - a**2 - 5*a. Let x(s) = 16*s**3 + 44*s**2 + 88*s. Let g(d) = 12*o(d) + x(d). Solve g(f) = 0. -7, -1, 0 Let f(t) be the first derivative of t**4/28 + 11*t**3/21 + 10*t**2/7 - 32*t/7 + 25. Factor f(z). (z - 1)*(z + 4)*(z + 8)/7 Let r(w) be the first derivative of w**4/6 - 8*w**3/9 + w**2 + 200. Suppose r(s) = 0. What is s? 0, 1, 3 Suppose -39*m - 39*m = 6*m - 25*m. Factor m + 1/9*u**2 + 0*u. u**2/9 Let g(u) = -12*u**2 + 3*
{ "pile_set_name": "DM Mathematics" }
sqrt(300) + 2))**2. 180*sqrt(3) + 381 Simplify 0 + sqrt(1216) + (sqrt(95)*1)/sqrt(5) - (sqrt(76)/sqrt(4) + 4 - sqrt(133)/(sqrt(7)*-1))**2. -92 - 7*sqrt(19) Simplify (sqrt(143)*1*6 - sqrt(143))/(2*sqrt(396) + sqrt(396))*6 + 2. 2 + 5*sqrt(13)/3 Simplify (-3 + sqrt(65)/sqrt(5) + 0 + (sqrt(208) + 4)*-6 + sqrt(208))**2. 1026*sqrt(13) + 5422 Simplify (5*(0 + sqrt(153) + 2 + sqrt(153))*-6*4)**2. 345600*sqrt(17) + 8870400 Simplify (-6*(sqrt(168)/sqrt(8) - sqrt(21)))/(sqrt(3) + (sqrt(3) - (sqrt(108) + sqrt(108)*3))). 0 Simplify (4*-4*sqrt(1008))**2 - (-3*(-5 + sqrt(7)*-3))**2. -270*sqrt(7) + 257256 Simplify 5*(sqrt(684)*-1*-5 - (((sqrt(684) + 2)**2 - sqrt(684)) + -3)). -3425 + 60*sqrt(19) Simplify 0 + (sqrt(1575)*3)/(sqrt(9) + sqrt(441)*5). 5*sqrt(7)/12 Simplify ((sqrt(13) + 1)*3)**2 + (2 + sqrt(52))**2 + 2. 26*sqrt(13) + 184 Simplify (sqrt(60)/sqrt(3)*1 + sqrt(20) + sqrt(120)/(sqrt(6)*-2))/(-2*1*sqrt(484)). -3*sqrt(5)/44 Simplify 4 + (-1*sqrt(2) + 2 - (sqrt(2) - -2*sqrt(98)))**2 - (sqrt(72) + 3 + 5). -70*sqrt(2) + 512 Simplify sqrt(14)/(sqrt(242)*-4) + -2*(sqrt(1372)/sqrt(4))**2. -686 - sqrt(7)/44 Simplify (sqrt(35) + sqrt(70)/sqrt(2)*1)/sqrt(7)*-2 - (2 + (sqrt(1960)*-2 + sqrt(1960))/sqrt(8)). -2 + 3*sqrt(5) Simplify sqrt(13) - (sqrt(13) + sqrt(65)/(sqrt(5) + (sqrt(5) - sqrt(15)/sqrt(3)) + sqrt(5)) + sqrt(13)) - -1*sqrt(1872) - (sqrt(1053)*-1 + 5). -5 + 39*sqrt(13)/2 Simplify (5 + sqrt(99) + 5 - (sqrt(99) + -3 + sqrt(99) - sqrt(99))*-6)**2. -336*sqrt(11) + 4915 Simplify (-4 + sqrt(209)/sqrt(704) + sqrt(19)*-4 + sqrt(19) + 2)**2. 23*sqrt(19)/2 + 10307/64 Simplify (sqrt(252) + -2*(sqrt(252) + 0 + sqrt(252)) - sqrt(252))**2*6 - (-4*(0 + sqrt(252)) + sqrt(252)*-2 + 2). 36*sqrt(7) + 24190 Simplify (((sqrt(99) - sqrt(99)*1)*-4 + sqrt(99) - sqrt(99)) + (sqrt(99) + 1*sqrt(99))*1)/(sqrt(99)/(sqrt(11)*-1) - 2*sqrt(324)). -2*sqrt(11)/13 Simplify -5 + (sqrt(18) - (sqrt(144) + sqrt(144)*2)/sqrt(8))/(sqrt(72)/sqrt(192)). -8*sqrt(3) - 5 Simplify (3*(sqrt(288) + -1)*5)**2 - (-1 + sqrt(288)*1 + sqrt(288) - (sqrt(288) - (sqrt(288)*2 + 4)))**2. -5616*sqrt(2) + 62424 Simplify -3 + 1*(sqrt(171)*2*4)/((-2*sqrt(54))/sqrt(6)). -4*sqrt(19) - 3 Simplify (3*-2*sqrt(252))/(4*(sqrt(18)/sqrt(2) + sqrt(9))). -3*sqrt(7)/2 Simplify ((-3*sqrt(2448)*-6 - (sqrt(204) + -1*(sqrt(204)*-2 - sqrt(204) - sqrt(204) - sqrt(204)) + sqrt(204))/sqrt(12)) + 5)**2. 2090*sqrt(17) + 742602 Simplify ((sqrt(7) - (-2*sqrt(700) + sqrt(7) + sqrt(7)) - sqrt(14)/sqrt(18)) + (sqrt(77) + sqrt(77)*-1*3)/sqrt(11))**2. 17500/9 Simplify ((sqrt(125) + (sqrt(125) - 3*sqrt(125)) + -1 + sqrt(125))*4)**2 + (((sqrt(125) - sqrt(125)*2)*-3)**2 - (-5 + sqrt(125)*-2)). 10*sqrt(5) + 1146 Simplify -3*(3 + 0 + (3*sqrt(76) + -4)*-3)**2. -19143 + 1620*sqrt(19) Simplify 6*((-3*sqrt(11) + -4)*6*2 + 2)**2. 19872*sqrt(11) + 98232 Simplify -5 + 3 + ((-1 + sqrt(1008))*-5)**2 + (sqrt(1008) + -2*sqrt(1008) + -1 + sqrt(1008))**2 + sqrt(1008) + -2. -588*sqrt(7) + 25222 Simplify (((sqrt(28)*-1 + 2 - (0 + 2*sqrt(28))) + 1)*-6)**2. -1296*sqrt(7) + 9396 Simplify (sqrt(88) + (sqrt(88) + (2*sqrt(88) - sqrt(88)))*-6 + (sqrt(88) - -2*sqrt(88)*-4))/(1*sqrt(800)*1)*2. -18*sqrt(11)/5 Simplify 2*((-1*sqrt(1872)*6)**2 + 2*(0 + sqrt(1872)) + -2). 48*sqrt(13) + 134780 Simplify 4*((sqrt(500) + (sqrt(500) - (sqrt(500) + 1 + -2*sqrt(500))**2) - sqrt(500)) + ((2*sqrt(500))**2 + 0 - sqrt(500))) + -1. 80*sqrt(5) + 5995 Simplify ((sqrt(121) - (sqrt(121) + -6*sqrt(121)*-1 + sqrt(121) - sqrt(121)))/(2*sqrt(99) - sqrt(11)) + 3)**2*-1*-4. -144*sqrt(11)/5 + 2484/25 Simplify (-4*sqrt(77)*4)/(2*sqrt(252)). -4*sqrt(11)/3 Simplify (sqrt(52)/(sqrt(10)/(sqrt(5)*-3 - sqrt(5))))/(((-3*sqrt(64))/sqrt(8))/sqrt(4)). 4*sqrt(13)/3 Simplify ((-1*sqrt(539) - sqrt(539)) + -1 + 5*sqrt(539)*-3 + sqrt(539))**2. 224*sqrt(11) + 137985 Simplify (4 + (sqrt(350) + -4*(sqrt(350) - sqrt(350)*-2))/sqrt(7))**2*-6. -36396 + 2640*sqrt(2) Simplify ((-4*sqrt(119)*2)/sqrt(7) + -2*2*sqrt(51)/sqrt(3))**2. 2448 Simplify (4*3*sqrt(190)*1)/(sqrt(120)/(2*sqrt(1728) - sqrt(1728))). 144*sqrt(19) Simplify 5 + 0 + 1*1*-1*sqrt(612)*-6. 5 + 36*sqrt(17) Simplify (sqrt(396)*5 - (sqrt(11)*1 + 4)) + 2. -2 + 29*sqrt(11) Simplify (sqrt(160)/((sqrt(8) - 2*sqrt(8))*1))/(sqrt(10) - (sqrt(10) + (-1*sqrt(490) - sqrt(490))) - -1*sqrt(1210)). -sqrt(2)/25 Simplify sqrt(8)*-3*5*5 + 2. -150*sqrt(2) + 2 Simplify -2 + -5 + (sqrt(1053)*1)**2 - ((sqrt(156)/sqrt(3)*-6)/sqrt(4) + -1)**2. -12*sqrt(13) + 577 Simplify (-2*sqrt(2736)*6 - (sqrt(2299) - (5*(sqrt(2299) - sqrt(2299)*1) + sqrt(2299))**2))*1. -155*sqrt(19) + 2299 Simplify sqrt(55)/(2*sqrt(99)) + (2*sqrt(245))**2*-3. -2940 + sqrt(5)/6 Simplify 2 + (sqrt(66)/(-3*(sqrt(6) + sqrt(150))) - (3 + sqrt(11)*1 + 3))**2. 38*sqrt(11)/3 + 16283/324 Simplify -1*(-5*sqrt(20)*1 - (-3 + sqrt(20) + -5)**2). -22*sqrt(5) + 84 Simplify (0 + 2*sqrt(50)*4 - ((sqrt(200)*2 + sqrt(200))/sqrt(4) + 5))**2. -250*sqrt(2) + 1275 Simplify (-3 + sqrt(1008)/sqrt(4) + (sqrt(567) - (sqrt(567) + (-1 + -1 + sqrt(567) - sqrt(567)))) + 3)**2. 24*sqrt(7) + 256 Simplify ((-1 + sqrt(180))*-5*-3)**2 + -4. -2700*sqrt(5) + 40721 Simplify 3*((sqrt(1377) + -4)*1 + ((2 + sqrt(1377))*-2)**2). 459*sqrt(17) + 16560 Simplify ((-3*(sqrt(400) - sqrt(400)*2))/(-3*(sqrt(8)*3 - sqrt(8))))**2. 25/2 Simplify (1*sqrt(66)*-5 - (sqrt(66) + 1*sqrt(66))*3)/((sqrt(288)/(sqrt(24)/sqrt(4)))/sqrt(8)). -11*sqrt(11) Simplify ((sqrt(5324) - ((1 + sqrt(5324) - sqrt(5324)) + sqrt(5324) + sqrt(5324))) + 2*sqrt(11) + -4 + 1*sqrt(44))**2. 180*sqrt(11) + 3589 Simplify 5 + 1 + 1*(1*sqrt(13))**2*-2 + 0. -20 Simplify 2*-5*4*sqrt(175)*1. -200*sqrt(7) Simplify -1*(sqrt(252) + 2) + -3 + (-1 + sqrt(700))**2. -26*sqrt(7) + 696 Simplify ((2*sqrt(152)*-1 - 5*1*sqrt(152))/(sqrt(32)*-2 - sqrt(32) - sqrt(8)*2*-4))**2. 931/4 Simplify (-2*(-2*sqrt(425))**2 - (0 + sqrt(425)*2)**2) + 2 + -2. -5100 Simplify -2 + (-1*(sqrt(735) - (sqrt(735) + 3*sqrt(735)) - sqrt(15))/((sqrt(225)/sqrt(5))/sqrt(9)))**2. 1450 Simplify ((-5*(sqrt(405) + sqrt(405)*2))**2 + -2*(1 + sqrt(180))**2)*-3. -272289 + 72*sqrt(5) Simplify (4*2*-1*sqrt(128)*3)**2. 73728 Simplify (sqrt(308)/sqrt(28)*5)/((sqrt(4) + sqrt(4) + sqrt(36))*4 - (sqrt(12) - sqrt(12)*-2)/sqrt(3)). 5*sqrt(11)/34 Simplify (2*(sqrt(33) - sqrt(132)*5))/(sqrt(75)*-1 + (sqrt(300) - sqrt(300)*2))*3. 18*sqrt(11)/5 Simplify sqrt(567) + (sqrt(567) - (sqrt(567) + (-1 + sqrt(567))**2) - sqrt(567)) + sqrt(567) + 3 - (sqrt(84)/(sqrt(12) - (1*sqrt(24) - sqrt(24))/sqrt(2)))**2. -572 + 27*sqrt(7) Simplify (-3*sqrt(117)*-1)**2 + (sqrt(117) - (sqrt(117) + sqrt(117) + 6*(sqrt(117) + -1))**2) + ((0 + 1*sqrt(117))**2 - -2*sqrt(117)*1) + 1. -6353 + 297*sqrt(13) Simplify ((-1*sqrt(18) + sqrt(18))*-4)/(sqrt(9) - 4*sqrt(36))*-1. 0 Simplify (-1*sqrt(96)*-2)/((sqrt(198) - (sqrt(198) - -1*sqrt(198)))/sqrt(11)). -8*sqrt(3)/3 Simplify ((sqrt(625)/sqrt(5) - sqrt(405)) + -5*(sqrt(80) + sqrt(5)) + -4*sqrt(25)/sqrt(5))**2. 5445 Simplify (-1 + sqrt(448) + sqrt(448)*-2 - 5*sqrt(448)*-3)*-4*-6. -24 + 2688*sqrt(7) Simplify 5 + 3*((sqrt(68) + -1*(sqrt(68) + sqrt(68)*-3 + sqrt(68)))/(-2*(sqrt(4) + sqrt(144)) - sqrt(4)))**2. 443/75 Simplify (6*sqrt(84)*-2 - sqrt(84) - sqrt(84))/(sqrt(70)/((sqrt(120)*-2)/sqrt(12))). 56*sqrt(3) Simplify ((sqrt(70)*-2*-6 - sqrt(70) - -1*sqrt(70)*5)/(sqrt(60)/(sqrt(30)/(sqrt(5) - sqrt(5)*3))))**2. 448 Simplify 2*(sqrt(612) + 1 - sqrt(612))*6 + (3 + (sqrt(612) - (sqrt(612) + 1))*-3)**2. 48 Simplify 1*(sqrt(66)/sqrt(2))/sqrt(11) + 1*(2 + sqrt(3)*1). 2 + 2*sqrt(3) Simplify ((sqrt(133) - (sqrt(133) - 2*sqrt(133) - sqrt(133))*-5)*5)/(-2*-2*sqrt(7) - (-1*sqrt(175) - sqrt(175) - sqrt(175))). -45*sqrt(19)/19 Simplify (-2*sqrt(171))/sqrt(9) + (-2 + sqrt(171) - sqrt(171))**2 - sqrt(228)/(sqrt(432)*-4). -47*sqrt(19)/24 + 4 Simplify -1*((-3 + sqrt(95)/sqrt(5))*-5 - sqrt(209)/(sqrt(132)/sqrt(300))). -15 + 10*sqrt(19) Simplify -5 + (-5 + 1 + sqrt(1539) - (sqrt(1539) - (sqrt(1539) - 5*sqrt(1539))*-3))**2. -864*sqrt(19) + 221627 Simplify 5 + (3*-2*sqrt(66)*4)/(sqrt(24) - -5*sqrt(96)). -12*sqrt(11)/11 + 5 Simplify (-1 + sqrt(1053) + 3 - (0 + sqrt(1053))*-2)**2. 108*sqrt(13) + 9481 Simplify ((-1*sqrt(121) - sqrt(121) - sqrt(121) - sqrt(121))*2 - (sqrt(121) - 6*((sqrt(121) - 2*sqrt(121)) + sqrt(121))))/((-2*-1*sqrt(55))/sqrt(5)). -9*sqrt(11)/2 Simplify
{ "pile_set_name": "DM Mathematics" }
= -326676? False Do -618836 and -618836 have the same value? True Which is smaller: 9478/11 or 862? 9478/11 Is -3/38656 smaller than 1? True Which is smaller: -1 or 3/507793? -1 Which is smaller: 2483 or -0.001? -0.001 Which is greater: 1316/17 or -1/10? 1316/17 Is -78/5 smaller than -17? False Is -143.68 bigger than 0.15? False Is 4/7 < -14439? False Which is smaller: -60/3293 or 0? -60/3293 Which is bigger: 326 or -94? 326 Which is greater: -137816 or -2? -2 Is -1 at least as big as -10/3436431? False Is -91389 <= -91392? False Are -1 and -1341.9 equal? False Is 1/57 less than 505? True Which is smaller: -1 or 263/595? -1 Is 3/2 smaller than -1057.1? False Which is smaller: 3180505 or 3180506? 3180505 Is 0 less than or equal to 1/1055278? True Is -1/3914295 greater than -1? True Is 21 smaller than -12741? False Which is smaller: 5958 or 5207? 5207 Is 0.10483 equal to -0.2? False Which is greater: 19 or 352/19? 19 Is 33/61 at least as big as 92/15? False Which is smaller: -1572 or -932? -1572 Which is greater: -31026/335 or -92? -92 Are 513/530 and 0 nonequal? True Which is smaller: -47 or 77? -47 Is -2/11 not equal to -523? True Is 1701 bigger than 1818? False Is 638061 at least as big as 638057? True Which is greater: 1/134331 or -1? 1/134331 Which is bigger: 1 or 6/23879? 1 Is -123705 smaller than -123706? False Which is bigger: -64935 or -129869/2? -129869/2 Which is smaller: -1 or -1/201? -1 Is 5906 != 5921? True Which is smaller: 264/1327 or 0? 0 Is 497/159 greater than or equal to 3? True Is 334807 not equal to 334810? True Is -126022 < 0.9? True Is -587.2 > -47? False Which is bigger: 1232/6595 or -1? 1232/6595 Which is greater: 5262 or 5254? 5262 Which is smaller: -9585 or -9561? -9585 Is -282413 > -4801020/17? False Is -38131 at least as big as -38130? False Is 496474 at least 496473? True Is 287/3351 bigger than 1? False Is 342.735 less than or equal to -3? False Is 101 at least as big as 1234? False Which is smaller: 5087 or 5161? 5087 Which is smaller: -17977 or -17997? -17997 Which is bigger: 374 or 619? 619 Which is greater: -1 or 21/325561? 21/325561 Is -84077 > -84077? False Is 18663 >= 18665? False Which is bigger: -2750/303 or -8? -8 Which is smaller: -1822 or -1765? -1822 Which is bigger: 11900 or 0.1? 11900 Is 11163 at least 11078? True Is -1/2 at most as big as 3878/4633? True Which is bigger: -196/303 or 10? 10 Is 90 at least as big as -1763? True Is -7 less than or equal to -7430? False Is 15/7 at least -4/31? True Do 0 and 27/19304 have the same value? False Which is bigger: 2 or -0.1010615? 2 Which is smaller: -67184 or -67185? -67185 Which is smaller: 127015/2 or 63507? 63507 Is 77755 bigger than 77752? True Which is smaller: -2/7 or -24/737195? -2/7 Is -20 less than -4430? False Do -5417 and -10833/2 have the same value? False Is 684 smaller than 26644/39? False Are 77 and 6889/89 non-equal? True Which is greater: 3857 or 122? 3857 Which is greater: -9.732 or 8.7? 8.7 Which is bigger: -11/3950 or 0? 0 Is -1 at most 73/305? True Is -48409 at least -48409? True Are -396 and 429 equal? False Which is greater: -1 or 1/2038428? 1/2038428 Which is smaller: 1 or -38.012? -38.012 Is -8716 equal to -8678? False Which is bigger: -115235 or -115236? -115235 Are 77105 and 31 non-equal? True Is 0 less than -179757? False Is 0 less than or equal to 732/1409? True Which is bigger: -0.11 or -2/31849? -2/31849 Is -497/179 less than 1? True Which is smaller: -83 or -4506/55? -83 Which is smaller: -1 or 4/75121? -1 Is -2/1277451 greater than or equal to 0? False Which is greater: 135/7 or 769? 769 Are -1 and -2/433083 nonequal? True Are 0 and 73/160 equal? False Which is greater: 60 or -0.463? 60 Which is smaller: -0.3 or -114/325? -114/325 Which is bigger: 6/946913 or 1? 1 Which is bigger: 92/11985 or 0? 92/11985 Which is bigger: 1703/56 or 29? 1703/56 Is -12 < 240? True Which is smaller: 299651 or 299641? 299641 Which is smaller: -3/242 or -5/6? -5/6 Which is smaller: 0.4 or -59684? -59684 Is -1 less than 11/39987? True Is -365 not equal to 1313? True Which is smaller: -0.2 or 59322? -0.2 Is -64682 at least as big as -452766/7? False Is 0.1 not equal to -36596/5? True Which is smaller: -51 or 11523? -51 Is 45790 < 92? False Is 0 at most as big as 3/318059? True Which is bigger: 2/29 or -4051.7? 2/29 Which is smaller: 1 or 7140/3599? 1 Which is smaller: -430 or -435? -435 Is -1 >= -42/67247? False Which is bigger: 31 or 7229/242? 31 Is -408/95 less than 25? True Which is bigger: 27341 or -0.4? 27341 Is 5307 greater than 3114? True Which is bigger: 0 or -3/313352? 0 Which is greater: 239163 or 239170? 239170 Which is bigger: -4/688175 or 0? 0 Which is greater: 836 or 24? 836 Is -4 equal to 133? False Which is smaller: 2607 or 2069? 2069 Is 0 at least -540/503? True Which is greater: 3 or 14793? 14793 Which is bigger: -1 or 6/3341? 6/3341 Which is bigger: 26934 or 26933? 26934 Is 1 at least as big as -2/3770997? True Is -9284 equal to -9284? True Is 1 < 477/30280? False Which is smaller: 49351 or 49349? 49349 Which is bigger: 228 or 271? 271 Which is smaller: 0 or 0.4256? 0 Is 929 less than or equal to 854? False Is 1217251/2 equal to 1? False Are 1 and 1832722 non-equal? True Is -638/42083 <= 1? True Is -31/2800 <= 1? True Which is bigger: 72/24845 or 0? 72/24845 Which is smaller: -475794/47 or -10124? -10124 Is -40127 greater than or equal to 4/15? False Do 1/3 and -4/14399 have the same value? False Which is greater: 95088 or 95098? 95098 Are -62244 and -62242 unequal? True Is -41836 greater than or equal to -41839? True Which is smaller: 37285 or 37281? 37281 Which is bigger: -38 or -2/1605? -2/1605 Is 31532 < 315327/10? True Which is greater: 1 or 3/762266? 1 Which is greater: 15456 or -1/19? 15456 Is 280 > -174? True Is 2/597213 at most -1? False Which is smaller: 3699 or 3697? 3697 Which is smaller: -13556 or -338928/25? -338928/25 Which is smaller: -6236 or -6176? -6236 Is 41679/262 <= 160? True Are -1 and 19/23648 nonequal? True Is -565677/2 bigger than -282840? True Which is smaller: 3733 or 7/8? 7/8 Do -0.1 and 1198786 have different values? True Is -7960001/3 at least as big as -2653334? True Which is smaller: -106/3 or 193/5? -106/3 Which is smaller: -1 or -3/695548? -1 Which is bigger: 2209 or 2487? 2487 Which is greater: 0 or -2/175995? 0 Is 1094 less than 138894/127? False Which is smaller: 470 or 754? 470 Which is bigger: 8 or 32.5? 32.5 Is -150 smaller than -440? False Which is smaller: 16/15 or 5.6? 16/15 Which is bigger: 107303 or 107302? 107303 Which is smaller: -13.602 or 0? -13.602 Which is bigger: 30904 or 30905? 30905 Which is smaller: 3090 or -0.07? -0.07 Is 2028 < 2250? True Is 6/7 bigger than 2/213955? True Is -25/8439 smaller than -1? False Is -27562 less than or equal to 0? True Which is smaller: -29394 or -29395? -29395 Which is greater: -0.0333 or -232? -0.0333 Which is bigger: -100 or -3413? -100 Which is greater: 112.066 or 1/4? 112.066 Is -410/4113 >= 0? False Which is bigger: 7901 or 8224? 8224 Which is smaller: -14147 or 4/37? -14147 Which is smaller: -3 or -418291? -418291 Does 52 = 2431/47? False Is -1 < 10/104483? True Is -1 < 441/4234? True Which is smaller: 158690 or 2? 2 Which is smaller: 0 or -3/570239? -3/570239 Which is smaller: 0.27 or 4568? 0.27 Is -1966 > -60989/31? True Which is smaller: 353/39 or -0.02? -0.02 Is 1583 at least 1552? True Which is smaller: 61 or 2440/41? 2440/41 Which is bigger: 1419398 or 1419399? 1419399 Which is greater: 0 or 3.04847? 3.04847 Is -164 bigger than 317.3? False Is 0 != -2/187411? True Which is smaller: 0 or 24/4583? 0 Which is bigger: -78/140321 or -1? -78/140321 Is 1177/14 greater than 83? True Which is smaller: -2 or -28965? -28965 Do -6/3035 and 5 have the same value? False Which is greater: -536534/7 or -76649? -536534/7 Is -36.7 < 2.78? True Is -1036/753 > -1? False Which is smaller: -93 or -236? -236 Which is smaller: 2/43 or 1033.51? 2/43 Is -183 not equal to -373? True Does -0.1867 = -1? False Do -1516 and 0.66 have different values? True Is -85 smaller than -11.8? True Is -2/15 bigger than 0.99459? False Which is smaller: 7818 or 7824? 7818 Is -568864 greater than -568864? False Is 1 at least as big as -2/1216615? True Which is bigger: -2
{ "pile_set_name": "DM Mathematics" }
ing order. -1, -5/19, 0.2, 5/3, 5 Sort 5, -3, 4, -2203, -27, -5. -2203, -27, -5, -3, 4, 5 Put -1650, 2, 10, 5, 0 in increasing order. -1650, 0, 2, 5, 10 Sort 5, -17, 3, 59, -4, 4 in increasing order. -17, -4, 3, 4, 5, 59 Sort -35/13, -12, 0, 2/195, -0.1. -12, -35/13, -0.1, 0, 2/195 Sort -7, -13, -3, 4, -23. -23, -13, -7, -3, 4 Sort -311532, -0.5, 2, -1/3 in decreasing order. 2, -1/3, -0.5, -311532 Sort -13, 4, -2, -1, -4, -210 in descending order. 4, -1, -2, -4, -13, -210 Put 5, 16, -4, -39, 1 in decreasing order. 16, 5, 1, -4, -39 Put 5/14, 3/7, -3, 1/94, -4 in descending order. 3/7, 5/14, 1/94, -3, -4 Put -6798, -1, -8, 3, 8 in increasing order. -6798, -8, -1, 3, 8 Sort 0.4, -0.056, 3/14, 0 in descending order. 0.4, 3/14, 0, -0.056 Sort -11, 17, -235 in ascending order. -235, -11, 17 Sort -30, 2, -2, 411, -3. -30, -3, -2, 2, 411 Sort -2, -423, -3, 4 in descending order. 4, -2, -3, -423 Put -4, -797, 10 in decreasing order. 10, -4, -797 Put -4, 685, 1, 0 in decreasing order. 685, 1, 0, -4 Sort -1/46, 9, 1313 in increasing order. -1/46, 9, 1313 Sort 0.1, -5, 2/5, -0.06. -5, -0.06, 0.1, 2/5 Sort -21, 2, 8, 5. -21, 2, 5, 8 Put -1, -3/7, -0.08, 0, -16, 0.202 in descending order. 0.202, 0, -0.08, -3/7, -1, -16 Sort 2, 17, 586, -3/8, -4. -4, -3/8, 2, 17, 586 Sort -1, -12944, 6, -5 in increasing order. -12944, -5, -1, 6 Sort 4, -20, 6, 28. -20, 4, 6, 28 Sort -2, 0.426415, 7 in decreasing order. 7, 0.426415, -2 Put 68, 2, 13.33 in ascending order. 2, 13.33, 68 Sort 12825, -1, 3 in decreasing order. 12825, 3, -1 Sort -2/7, -2/11, -23.64, 0.4 in descending order. 0.4, -2/11, -2/7, -23.64 Put 4, -34, 97, -1, -3 in increasing order. -34, -3, -1, 4, 97 Sort 2, -27969, 4 in ascending order. -27969, 2, 4 Sort -20, 13713/4, 1, -1/2 in decreasing order. 13713/4, 1, -1/2, -20 Sort 0, 10295, 1, -1 in increasing order. -1, 0, 1, 10295 Sort -32, 569, -1 in increasing order. -32, -1, 569 Sort 3, -14, -323, 0, -5 in ascending order. -323, -14, -5, 0, 3 Put 8/7, -1/6, -8, -3, -5, 5 in ascending order. -8, -5, -3, -1/6, 8/7, 5 Sort -2/5, 0.2, 12426, -0.1 in decreasing order. 12426, 0.2, -0.1, -2/5 Put 128, 144, -1, 3, -3 in decreasing order. 144, 128, 3, -1, -3 Put -1, 1, 1889, 2 in increasing order. -1, 1, 2, 1889 Sort -745, -1, -15, -20, -5. -745, -20, -15, -5, -1 Put -0.5, -84320, -4/3 in descending order. -0.5, -4/3, -84320 Sort -0.3, -31, 1, 269, 3 in descending order. 269, 3, 1, -0.3, -31 Put 1095, -21, -5 in descending order. 1095, -5, -21 Sort 9, 0.1, 0.31, 11, 1, 3 in increasing order. 0.1, 0.31, 1, 3, 9, 11 Sort -3/298, 2, -4 in descending order. 2, -3/298, -4 Sort 0.021, -1, 2, 48. -1, 0.021, 2, 48 Sort -4, 4, 10, -91, 57 in ascending order. -91, -4, 4, 10, 57 Put -5, -9.1, -0.3, -3, -2/25 in descending order. -2/25, -0.3, -3, -5, -9.1 Put 529, -0.024, 2/5 in descending order. 529, 2/5, -0.024 Sort 0.4, -1.9, -6021. -6021, -1.9, 0.4 Sort 5, -1, -2543, 2, 0. -2543, -1, 0, 2, 5 Sort 39, -15, 28, -5. -15, -5, 28, 39 Put -2, -129, -102, 1, 2 in decreasing order. 2, 1, -2, -102, -129 Sort -23, 1/5, 1/10, -430 in descending order. 1/5, 1/10, -23, -430 Put 4, 63775, -1/6, -0.3 in ascending order. -0.3, -1/6, 4, 63775 Sort -3, 90, -4, 4, -5. -5, -4, -3, 4, 90 Put -23, -3, -1.21, 1, 2/51 in increasing order. -23, -3, -1.21, 2/51, 1 Sort 0.256, 4/5, 2, 0.3 in ascending order. 0.256, 0.3, 4/5, 2 Sort 130.9059, -4, -2/3, -2. -4, -2, -2/3, 130.9059 Sort -3, 23, 4, -610 in decreasing order. 23, 4, -3, -610 Sort -2, 13, 6, 4, 17, 7 in decreasing order. 17, 13, 7, 6, 4, -2 Sort -3/2, 3, -25895, 4 in increasing order. -25895, -3/2, 3, 4 Put 532, -5, 0, 3 in increasing order. -5, 0, 3, 532 Sort 0.3, 2/7, 2/3, 10.489, -2/9 in descending order. 10.489, 2/3, 0.3, 2/7, -2/9 Sort -25, -3, -1, -4, 56. -25, -4, -3, -1, 56 Sort -1584, -2/17, -3, -4/11 in decreasing order. -2/17, -4/11, -3, -1584 Put 5, -3, 64, 2 in decreasing order. 64, 5, 2, -3 Put -0.2, 4, -1, 3/4, -2, -0.21 in descending order. 4, 3/4, -0.2, -0.21, -1, -2 Sort -16/115, -5, -2, 2/219. -5, -2, -16/115, 2/219 Put 3, 1, 41, -3, 33, 2 in decreasing order. 41, 33, 3, 2, 1, -3 Sort -2/7, 2, -3, -0.2, 108. -3, -2/7, -0.2, 2, 108 Sort 2/35, -5, 2.9, 0.2 in increasing order. -5, 2/35, 0.2, 2.9 Sort 3/2, 2/3, -42/5, 8 in increasing order. -42/5, 2/3, 3/2, 8 Sort -70, 1, 4, 0, -4, 3 in increasing order. -70, -4, 0, 1, 3, 4 Put 0, 2, 114169 in increasing order. 0, 2, 114169 Put 2, -398, 5, 0 in descending order. 5, 2, 0, -398 Sort 3, 2/7, -72, 0.4, -2/47 in increasing order. -72, -2/47, 2/7, 0.4, 3 Put -24, 5, -35 in descending order. 5, -24, -35 Put 5/3, -553, 1/5, 25 in descending order. 25, 5/3, 1/5, -553 Sort 5, -1161, 246 in increasing order. -1161, 5, 246 Sort -3, -4, 68, 3, 4, 10 in descending order. 68, 10, 4, 3, -3, -4 Sort 2, -2/19, -0.5, -1958 in decreasing order. 2, -2/19, -0.5, -1958 Sort 1, 2, -2/23015, -0.5, -0.1. -0.5, -0.1, -2/23015, 1, 2 Sort 1/5, 0.5, 0, 0.9, -5, 11. -5, 0, 1/5, 0.5, 0.9, 11 Sort 2, -21, -103, -14 in ascending order. -103, -21, -14, 2 Sort -1, 5, -4, -5, 2, -1318 in increasing order. -1318, -5, -4, -1, 2, 5 Put 5, 46, 197 in increasing order. 5, 46, 197 Put 1, 3271, 129, -5, 0 in decreasing order. 3271, 129, 1, 0, -5 Sort -20, -12, 0.0269 in decreasing order. 0.0269, -12, -20 Sort -1577, -2, -13, 1 in increasing order. -1577, -13, -2, 1 Sort -1, -4, 31, 23, 1, 15 in ascending order. -4, -1, 1, 15, 23, 31 Sort -139.5, 5, -81 in ascending order. -139.5, -81, 5 Sort -1, -2, 5, -29, 1. -29, -2, -1, 1, 5 Put 2/69, -6, 2/7, 21, -2/5, -3/7 in ascending order. -6, -3/7, -2/5, 2/69, 2/7, 21 Sort 10, -24, 4, 2, 14, 3 in decreasing order. 14, 10, 4, 3, 2, -24 Sort -7, 5, 4, -4, 155, -3 in ascending order. -7, -4, -3, 4, 5, 155 Sort -2, -4, -628556 in decreasing order. -2, -4, -628556 Sort 1/2, 4, 1/6, 95. 1/6, 1/2, 4, 95 Put 4, 18, 53, -2 in increasing order. -2, 4, 18, 53 Sort -3/7, -2, -7.67, -1/2, 0 in descending order. 0, -3/7, -1/2, -2, -7.67 Sort -3, -0.6, 24488/23 in increasing order. -3, -0.6, 24488/23 Sort 1/7, 4/15, -5. -5, 1/7, 4/15 Put 23, 5, 3, -4, 261, -27 in decreasing order. 261, 23, 5, 3, -4, -27 Put 3, 1274, -1, -0.2, 4 in decreasing order. 1274, 4, 3, -0.2, -1 Sort 243, -14, 19, 4. -14, 4, 19, 243 Put 62, 0.1, -6, 2, -94, 3 in decreasing order. 62, 3, 2, 0.1, -6, -94 Put 1870, -34, -2 in ascending order. -34, -2, 1870 Put 3/4, -2, 15, 1, 9/4 in ascending order. -2, 3/4, 1, 9/4, 15 Sort -2798, 31, -5 in descending order. 31, -5, -2798 Sort 3, -17, 5, -1, -28 in increasing order. -28, -17, -1, 3, 5 Sort -6/11, 16, 4/439, -5 in increasing order. -5, -6/11, 4/439, 16 Sort 5, -5, -3, 23, 365 in increasing order. -5, -3, 5, 23, 365 Sort -3.61, -5, 0, 3 in decreasing order. 3, 0, -3.61, -5 Sort 1, -0.5, -2/29, -0.3, -149, 4 in descending order. 4, 1, -2/29, -0.3, -0.5, -149 Sort -0.3, 60, 48/79 in decreasing order. 60, 48/79, -0.3 Put -13/11, 0, -5, 2/21 in ascending order. -5, -13/11, 0, 2/21 Sort 16/7, 42, -5, -10 in descending order. 42, 16/7, -5, -10 Put 299, -2, 5, 0 in increasing order. -2, 0, 5, 299 Put -1/8, -59, 1, -9/146, 5, -2 in decreasing order. 5, 1, -9/146, -1/8, -2, -59 Put -4, 1/3, 0.0797, -1 in decreasing order. 1/3, 0.0797, -1, -4 Sort 33, 2, -2, 4, 147, -4 in descending order. 147, 33, 4, 2, -2, -4 Sort 19.1, 0, -1/18, 1/3, 5, 0.04. -1/18, 0, 0.04, 1/3, 5, 19.1 Sort -0.2, -52.35, 8/35. -52.35, -0.2, 8/35 Sort 9.3, 6, 0.5, 13/5, -5 in decreasing order. 9.3, 6, 13/5, 0.5, -5 Sort -0.07, 5, 2/11, 0.5, 0, -2/25 in descending order. 5, 0.5, 2/11, 0, -0.07, -2/25 Sort -4, 48, -3, -12, -15 in decreasing order. 48, -3, -4, -12, -15 Sort -3/2, -25, -3, 0.059, -1, 0.1 in decreasing order. 0.1, 0.059, -1, -3/2, -3, -25 Sort 4, 0.2, 13, -6/7, -2/19, -8/9 in increasing order. -8/9, -6/7, -2/19, 0.2, 4, 13 Sort -4, -519, -14, 4, -5. -519, -14, -5, -4, 4 Put -2, -13, 96, 2, -4, -5 in ascending order. -13, -5, -4, -2, 2, 96 Put -3, 1.26, 0.1, -1.18, 0, 3 in descending order. 3, 1.26, 0.1, 0, -1.18, -3 Put 1, 0, -2, -1490 in increasing order. -1490, -2, 0, 1 Sort -5, -4, -16, -0.09, 1. -16, -5, -4, -0.09, 1 Sort 5/307, 18, -2, 1, 5, -0.5 in increasing order. -2, -0.5, 5/307, 1, 5, 18 Sort -5/3, 2.9, 2, -16.4 in descending order. 2.9, 2, -5/3, -16.4 Put -2, 2, 238 in ascending orde
{ "pile_set_name": "DM Mathematics" }
Let q be (1 + -3)*15/(-6). Suppose 126 = 2*z - 3*l - l, 348 = q*z + l. Is 23 a factor of z? True Let b(z) = -z**3 + 15*z**2 - 5*z + 80. Is 2 a factor of b(15)? False Let p(v) be the second derivative of v**6/360 + v**5/20 - v**4/24 - v**3/3 + 2*v. Let x(c) be the second derivative of p(c). Is 6 a factor of x(-7)? True Let u = 206 + -138. Is 16 a factor of u? False Let t(u) = u**2 - u + 7. Is t(0) a multiple of 7? True Is 18 a factor of (-12)/4*50/(-6)? False Let u(g) = g**3 + 6*g**2 + g + 3. Let c be u(-5). Suppose 4*p + 31 = 3*o - c, 3*o - 3*p = 51. Does 5 divide o? False Let y(p) = 3*p. Let l be y(4). Let d be 4/l - (-95)/3. Suppose -d = -3*h + 70. Is 17 a factor of h? True Suppose -5*k + 0*k + 10 = 0. Suppose y + 9 = -2*y, 2*l - k*y = 240. Suppose -3*u = -0*u - l. Is u a multiple of 13? True Let j(i) = 3*i + 11. Let l = 21 - 12. Is 14 a factor of j(l)? False Let r = -29 + 61. Is r a multiple of 32? True Let y = -91 - -140. Let d = y + 70. Suppose -4*s = -0*v - 5*v - 89, 4*s + 5*v = d. Does 14 divide s? False Let b(h) = -h**2 + 4*h + 5. Let s be b(5). Suppose w - 3 - 33 = s. Is 18 a factor of w? True Let m be -2 + (-12)/(-3) - 3. Let y be (7 + -6)*(-5 + m). Does 11 divide -2*(-1 - (-75)/y)? False Suppose -3*d - 4*m = m - 6, 11 = 2*d + m. Let g = d - -1. Suppose 0 = -0*v + 2*v - g, 5*w + v = 94. Is w a multiple of 7? False Let p = 221 - 165. Is p a multiple of 3? False Suppose 0*z - 16 = -4*z. Suppose p - z*p = -243. Is 27 a factor of p? True Let w = -52 - -35. Let f = -12 - w. Does 3 divide f? False Let g(y) = y**3 - 5*y**2 + 4*y - 1. Let t be g(4). Let m = t + 3. Is (m/6)/((-2)/(-174)) a multiple of 10? False Let n be (-1)/5 - 18/10. Let j = -2 - n. Suppose 2*f - 2*x = 2*x + 18, j = 5*x - 20. Does 6 divide f? False Suppose 5*v + 6 = 2*v. Is 17 a factor of 65 + 4 + v + -3? False Let v = 4 + -2. Suppose -5 = 4*y - v*f + 1, -3*y = 3*f. Is 12 a factor of 29 - ((-2)/(-2) - y)? False Let o(m) = m - 1. Let y be o(5). Suppose -y*q + 104 = -72. Suppose -4*h + 36 = -q. Is 13 a factor of h? False Let d = -6 - 30. Does 20 divide (1*15)/(d/(-96))? True Suppose 0 = -2*z, z - 5*z = -2*y + 6. Suppose -90 = -5*h - 5*i, -5*h = -y*i - 82 - 24. Does 5 divide h? True Let l(v) = -19*v. Suppose -x - 2*x + 4*t - 21 = 0, 0 = 5*x + 3*t + 6. Is l(x) a multiple of 19? True Let w = 10 - 18. Let y = 4 - w. Is 4 a factor of y? True Suppose 5*g = 6*g - 2. Suppose 0 = g*n + n. Suppose n*y - 100 = -5*y - 5*h, 2*h = 4*y - 50. Is 15 a factor of y? True Let m = -24 + 193. Does 8 divide m? False Let d be 2*1 + (-28)/(-4). Let r be d/2 - 5/(-10). Suppose -5*b + 80 = r*g, -18 - 31 = -3*g - 2*b. Is 13 a factor of g? False Let k = 8 - 3. Suppose 3*d - k*d = 3*i - 48, 0 = -5*i - 10. Let r = d - 14. Is r a multiple of 7? False Let w be 2/(-4) - 8/(-16). Suppose w = 2*q + 24 - 74. Does 10 divide q? False Suppose 4*v = -13 - 15. Let m(q) = -5*q - 7. Does 7 divide m(v)? True Let t = -23 - -32. Suppose -4*k - t = -k. Let b(v) = -v**3 - 2*v**2 + 2*v + 3. Does 6 divide b(k)? True Suppose -s - 18 = 26. Suppose 0 = i - 2*f + 7, 4*i + 5*f - 2*f + 17 = 0. Is 9 a factor of s/6*(i - -2)? False Is (-2 - -1 - -14) + 0 a multiple of 7? False Suppose 3*o - 338 + 50 = 0. Is 17 a factor of o? False Let a be (8/(-10))/(6/(-75)). Suppose i + 0*i = a. Does 7 divide i? False Let t(d) = -12*d**2 + 21*d**2 + 4 - 8*d**2 + 3*d. Is t(-6) a multiple of 22? True Suppose -n = 2*n - 30. Let w(q) = q**2 - 8*q - 14. Does 4 divide w(n)? False Let a(w) = w**3 - 4*w**2 - 5*w + 1. Let u be a(5). Is 30 + -2 + u + -1 a multiple of 10? False Let a(n) be the third derivative of -n**4/12 + 2*n**3 + 4*n**2. Is 13 a factor of a(-4)? False Suppose 5*x + 8*p = 3*p + 290, -4*p + 116 = 2*x. Does 29 divide x? True Suppose 27*x - 20*x - 1302 = 0. Is x a multiple of 22? False Suppose -u - 2*o - 8 = -3*o, -3*u - 24 = 5*o. Suppose 0*a + a + 11 = 0. Let n = u - a. Does 2 divide n? False Suppose 2*g = 4*o + 166 - 10, 0 = 4*g - 3*o - 322. Is g a multiple of 23? False Suppose 86 = s - 16. Does 23 divide s? False Let h = -77 + 115. Let a(r) = -r + 26. Let o be a(0). Let c = h - o. Does 6 divide c? True Let h(p) = p**2 - 8*p + 3. Let v be h(8). Suppose -v*u = -45 - 33. Suppose -u = -2*b + 12. Does 19 divide b? True Is 5 a factor of (-2)/14 + (632/14 - 1)? False Let z = 253 + -110. Does 13 divide z? True Suppose 0 = -z + 6*z - 65. Is 13 a factor of z? True Suppose 8 = -p + 3*p. Suppose 0 = -p*u + 3*u + 31. Does 12 divide u? False Is (-162)/(-48)*-2*(-16)/6 a multiple of 6? True Suppose 6 = -6*s + 78. Is s a multiple of 2? True Suppose -4*p + 0*p - a = -287, -4*p + 275 = -3*a. Does 17 divide p? False Let f(o) = o + 4. Let a be f(-6). Let h = a + 13. Is 11 a factor of h? True Is 2 a factor of (3 - 2)/(((-5)/125)/(-1))? False Let t = 160 + -113. Let j = t - 29. Is j a multiple of 11? False Let v = 2 - 0. Suppose -5*r + 6*r + 4 = -v*s, r - 5*s = 31. Is r a multiple of 6? True Let r = 6 - 3. Suppose -5*m + q + 22 = -3*q, -4*q = -8. Suppose r*t + 15 = m*t. Is 3 a factor of t? False Let s(q) = q**2 + 16*q + 20. Is 12 a factor of s(-17)? False Suppose -2*o - 5 = 2*x + 3, 0 = -4*o + 3*x - 16. Let q = o - -8. Is 1/q + 47/4 a multiple of 6? True Let f be -1 + (0 - -1 - 20). Let b = 35 + f. Is 4 a factor of b? False Let i(h) = -h - 6. Let x be i(-6). Suppose -2*r + 243 - 83 = u, x = 3*u - 5*r - 425. Suppose b - u = -4*b. Does 15 divide b? True Let h(a) = -a**3 + 7*a**2 + 3. Suppose 0 = 2*q - m, 2*q - m = -3*q. Suppose q = 5*b - 49 + 19. Does 10 divide h(b)? False Suppose 36 = -2*o + 182. Is 14 a factor of o? False Let q be (1 - 0)/((-1)/(-54)). Is (-76)/(-18) - 12/q a multiple of 4? True Let g(f) = f**2 - f - 14. Let c be g(-5). Suppose -3*t - c = -5*t. Is t a multiple of 8? True Suppose 3*v - 41 = 49. Does 30 divide v? True Let c(t) = t**3 - 8*t**2 + 6*t + 3. Let x be c(5). Is 21 a factor of 1/2*-1*x? True Suppose -4*p + 37 = u, -4*u + 4*p - p = -186. Is 15 a factor of u? True Suppose -2 = w - 2*w. Suppose 85 = 5*l - 3*s, 45 = w*l + l - 3*s. Does 5 divide l? True Suppose 0 = -2*j + 9 + 19. Let h = j - -71. Let a = h - 56. Is 14 a factor of a? False Suppose 0*v + 2*i + 28 = v, -5*v + 2*i + 108 = 0. Suppose -2*b - 2*b = -v. Is 5 a factor of b? True Suppose 4*z - z - 1527 = 0. Suppose z = 5*u + 2*a, -4*a + 132 = 5*u - 381. Suppose -2*t = -u + 15. Is 12 a factor of t? False Let v = 38 - -22. Is v a multiple of 4? True Suppose -u + 1 + 44 = 0. Let l = u - 0. Is l a multiple of 15? True Suppose -3*t + 3*p + 5 = 2*t, 3*p = -t + 19. Suppose 0 = -t*k - k + 5, 2*h = -k + 11. Suppose 78 = -2*l + h*l. Is 16 a factor of l? False Suppose 3*z + 4 = 5*i, -4*i - 16 = z + 3*z. Let s(u) = 3*u - 3. Let k(c) = -5*c + 6. Let a(f) = -6*k(f) - 11*s(f). Is 6 a factor of a(z)? True Suppose -w + 8 = -5. Does 13 divide w? True Suppose -5*b - 7 = -4*z, 5*z + 7 + 18 = -5*b. Is 7 a factor of 10/1 - (b + 4)? False Let t be 0 + -1 + (-24)/(-2). Let q(y) = -y**2 - 10*y - 8. Let r be q(-6). Let c = r - t. Does 5 divide c? True Let a(t) = t**3 + 6*t**2 - 2*t + 7. Let n be a(-7). Is n/(-6)*(-9)/(-3) a multiple of 6? False Let o(g) = -5*g. Let i be o(-1). Suppose -5 - 25 = -3*d. Let b = d - i. Does 3 divide b? False Let n(p) = p - 2. Let z be n(5). Suppose -5 - z = -2*f. Suppose 24 = -f*l + 104. Is l a multiple of 7? False Let f(r) = 65*r**2 + 2*r + 1. Is 16 a factor of f(-1)? True Suppose -2*b + 56 = 2*j, 5*b = -0*j - 2*j + 131. Does 23 divide b? False Suppose -2*t + t + 2 = 0. Let c be -2*(3 - 1)/(-2). Suppose -t*i + 2 = c*k, -4*i + 5 = 3*k - 1. Is i even? False Suppose 0 = -3*u + 2*u + 4. Suppose u*t - 15 = -t. Is ((-52)/t)/((-6)/9) a multiple of 7? False Let p = 42 - 17. Does 5 divide p? True Suppose 0 = 4*k - 5*b - 219, 0*k - k = 4*b - 39. Does 17 divide k? True Suppose 5*w - 234 = -44. Is 12 a factor of w? False Suppose -3*a - 3*g + 30 = 0, 4*a - 54 = 3*g - 0*g. Suppose -a - 9 = -d. Is d a multiple of 7? True Suppose 5*b = b + 60. Is 15 a factor of b? True Suppose -5*a - 3*c = -6*c - 16, -5*a + 10 = -5*c. Does 2 divide a? False Suppose -4*j = 12, 4*h = 2*j - 4*j + 38. Does 11 divide h? True Suppose -75 = -5*s + 5*y, -5*s + 67 = -4*y + y. Does 11 divide s? True Suppose 0*n = -4*n + 160. Is 11 a factor of n? False Let k = 1 + 1. Suppose p - 32 = 2*i, 5*i + k*p + 2*p + 67 = 0. Let
{ "pile_set_name": "DM Mathematics" }
15*k. Let s(v) = -38*v**4 - 5*v**2 + 29*v. Let d(c) = 2*s(c) - 5*z(c). Find the second derivative of d(p) wrt p. 228*p**2 Let o(w) be the second derivative of 1/42*w**7 - 1/2*w**3 + 0*w**4 + 0 + 0*w**5 + 0*w**6 + 0*w**2 - w. What is the second derivative of o(q) wrt q? 20*q**3 Let y(f) = -4*f**2 + 7*f - 3. Let w(r) = -15*r**2 + 29*r - 11. Let v(c) = -6*w(c) + 22*y(c). Find the second derivative of v(h) wrt h. 4 What is the third derivative of 36*d**2 + 6*d**6 - 26*d**3 + 52*d**3 - 26*d**3 wrt d? 720*d**3 Let w(f) = 7*f - 4. Let y(u) = 8*u - 3. Let z(n) = -7*w(n) + 6*y(n). Let d be z(9). Differentiate -s**3 + 0*s**3 + 1 - 3 + d with respect to s. -3*s**2 Let w(x) = -x**3 - x**2 + 1. Let r(u) = 3*u**3 + 4*u**2 - 11. Let m(l) = -r(l) - 4*w(l). Differentiate m(k) with respect to k. 3*k**2 Let x(y) be the first derivative of -y**6/90 + 5*y**4/24 - 4*y**3/3 - 4. Let r(c) be the third derivative of x(c). Differentiate r(n) wrt n. -8*n Let y = 3 - 1. Find the third derivative of 6*g**2 + 0*g**2 + g**6 - 3*g**y wrt g. 120*g**3 Let z(b) be the third derivative of -7*b**5/12 + 22*b**3/3 - 30*b**2. What is the derivative of z(t) wrt t? -70*t Let m(k) = -k**3 - 3*k**2 - k + 2. Let i be m(-2). Differentiate 1 + i - 2*c**2 + 2 wrt c. -4*c Suppose -12 = -4*c + 3*c - u, 0 = 2*c - 3*u - 9. Let v be (c + -7)/(0 + 1). What is the third derivative of 3*b**4 - 2*b**2 - v*b**4 + 5*b**2 wrt b? 24*b Let l(n) = -n. Let x be l(-3). Find the third derivative of -q**4 + 2*q**4 + 5*q**4 + 5*q**2 - x*q**2 wrt q. 144*q Suppose -2*i = -4*i + 6. Suppose 3*n = -3*l - 0*l + i, 2 = -2*n - 3*l. What is the second derivative of n - 4*k - 2 + k**2 - 3 wrt k? 2 Let x(g) be the first derivative of g**8/840 + g**5/120 + g**3/3 - 2. Let k(v) be the third derivative of x(v). Find the second derivative of k(t) wrt t. 24*t**2 Let p(s) be the third derivative of s**5/60 + 7*s**4/24 + 7*s**3/6 - s**2. Let v be p(-6). Find the first derivative of -a - 3*a - v + 2*a wrt a. -2 Let d = -7 + 11. What is the third derivative of -f**d + 4*f**3 - 4*f**3 - 2*f**2 wrt f? -24*f Let r(m) = m**4 - 1. Let a(d) = 5*d**4. Let w(p) = a(p) + r(p). What is the derivative of w(l) wrt l? 24*l**3 Suppose 1 = 2*y - l + 6*l, 4*y - 17 = -5*l. What is the first derivative of 17*x**4 - y*x**4 + 6 - 19*x**4 wrt x? -40*x**3 Let p(a) = 8*a**4 - 6*a**3 + 6*a**2 + 6*a - 16. Let m(i) = 24*i**4 - 17*i**3 + 17*i**2 + 17*i - 47. Let w(d) = -6*m(d) + 17*p(d). Differentiate w(o) wrt o. -32*o**3 Let t be (-14)/(-4) + (-3)/6. Suppose -t*g = -g - 8. What is the second derivative of 2*h**4 - 2*h**g + 3*h**5 - 4*h**5 + 2*h wrt h? -20*h**3 Differentiate 6*u**3 - 5*u**4 - 6*u**3 + 11*u**4 + 3 with respect to u. 24*u**3 Let c be (10/(-2 + 0))/(-1). Let q(m) = m + 2. Let l(r) = 1. Let a(f) = c*l(f) - q(f). Differentiate a(h) wrt h. -1 What is the second derivative of 33*x - 2*x**2 - 38*x + x**2 + 0*x**2 wrt x? -2 Let b(a) be the first derivative of 21*a**4/4 + 5*a**2 - 26. Find the second derivative of b(w) wrt w. 126*w Suppose 0 = -2*c + 3*c. Let v(a) be the second derivative of -1/2*a**3 + 1/4*a**4 - a + 0*a**2 + c. Find the second derivative of v(n) wrt n. 6 Let z(s) be the second derivative of 7*s**3/2 + 9*s**2/2 - 27*s. Differentiate z(b) with respect to b. 21 Suppose 0 = -3*g - 0*g + 4*r - 7, 4*g + 3*r - 24 = 0. Let o(f) be the second derivative of -1/3*f**g - 3/2*f**2 - 2*f + 0. Differentiate o(x) with respect to x. -2 Let n(k) be the first derivative of -4*k**5/5 - k**2/2 - 3. What is the second derivative of n(r) wrt r? -48*r**2 Find the third derivative of u**4 - 3*u**2 + 7*u**4 - 3*u**2 + 2*u**4 wrt u. 240*u Let s(c) be the second derivative of c + 3/2*c**2 + 1/6*c**3 + 0. What is the derivative of s(w) wrt w? 1 Let a(q) be the second derivative of -15*q**7/14 + 11*q**4/12 + 35*q. Find the third derivative of a(i) wrt i. -2700*i**2 Find the third derivative of 4*r**5 + 5*r**2 + 2*r**5 - 2*r**2 + r**2 wrt r. 360*r**2 Let k(a) be the second derivative of 19*a**7/21 - 5*a**3/6 - 30*a. Find the second derivative of k(h) wrt h. 760*h**3 What is the first derivative of -18 - 6*h**4 + 2*h**4 + 9 - 4*h**4 wrt h? -32*h**3 Let i(q) be the first derivative of 0*q**5 - 5/6*q**6 + 0*q + 0*q**4 - 1 - q**2 + 0*q**3. Find the second derivative of i(l) wrt l. -100*l**3 Let z = 1 + -2. Let l(i) = i**3 + i. Let u(v) = v**4 - 1 + v + 1 - v**2 + v**3. Let t(f) = z*l(f) + u(f). Find the third derivative of t(m) wrt m. 24*m Suppose -z = -0*z + 4. Let o be (2 - 5)/(6/z). Find the second derivative of -5 - n**o + 5 - 2*n wrt n. -2 Let w(f) = 10*f**2 + 2*f**4 - 4*f**3 - 8*f**2 + 7 + 2*f**2. Let g(i) = -i**3 + i**2. Let h(o) = -4*g(o) + w(o). Differentiate h(q) with respect to q. 8*q**3 Let z(p) = 5*p**4 - 8*p + 3. Let o(j) = -4*j**4 + 7*j - 2. Let t(b) = -3*o(b) - 2*z(b). Find the second derivative of t(y) wrt y. 24*y**2 Let z = -4 + 1. Let n be 4*(1 + z/6). What is the second derivative of 3*x + 2*x**3 + x**3 + n*x**3 - 4*x**3 wrt x? 6*x Let f(v) be the second derivative of 7*v**6/30 + 19*v**4/12 - 7*v. What is the third derivative of f(n) wrt n? 168*n Let m(j) = -3*j - 4. Let u(z) = 6*z + 9. Let a(q) = 7*m(q) + 3*u(q). Let c be a(-1). What is the third derivative of -6*x + 6*x + x**5 - 2*x**c wrt x? 60*x**2 Let c = 1 - 1. Let p(g) be the first derivative of 0*g + 1 + c*g**5 + 0*g**2 + 0*g**4 - 1/6*g**6 - 1/3*g**3. Find the third derivative of p(v) wrt v. -60*v**2 Let o(z) be the first derivative of z**7/105 - 2*z**3/3 + z**2 - 1. Let t(b) be the second derivative of o(b). What is the derivative of t(s) wrt s? 8*s**3 Let q(p) be the second derivative of 8*p**6/15 + p**3/2 + 5*p**2 - 4*p - 3. Find the second derivative of q(m) wrt m. 192*m**2 Let r be 4/(-96)*-4 - 2/(-6). Let b(d) be the first derivative of 1 + d**3 + r*d**2 + 0*d. What is the second derivative of b(c) wrt c? 6 What is the first derivative of 8 - 16 + 4*f - 23*f + f wrt f? -18 Suppose 0 = -5*t - 12 + 2. Let d(q) = 3*q + q - 2 - 2*q - 4*q. Let g(v) = v**2 - 5*v - 4. Let n(z) = t*g(z) + 5*d(z). What is the derivative of n(i) wrt i? -4*i Let q(p) be the third derivative of -7*p**6/24 - p**5/60 - 29*p**2. Find the third derivative of q(r) wrt r. -210 Suppose -10 = -6*q + q. Suppose 4*w + 16 = -2*n - 2*n, 0 = -5*w - q*n - 5. Differentiate 2*y + w - 4 + 0 with respect to y. 2 Let m(z) = -20*z**2 + 23*z - 6. Let b(u) = u - 1. Let t(w) = 6*b(w) - m(w). Find the second derivative of t(s) wrt s. 40 Find the third derivative of -5*u**4 - 5*u**4 + 0*u**4 + 11*u**2 + 3*u**2 wrt u. -240*u Let w(a) = 5*a**4 + 8*a**3 + 8*a**2 - 8*a - 6. Let t(v) = 3*v**4 + 5*v**3 + 5*v**2 - 5*v - 4. Let b(c) = -8*t(c) + 5*w(c). What is the derivative of b(q) wrt q? 4*q**3 Let o(q) = 17*q**3 + 19. Let n(t) = 9*t**3 + 10. Let d(v) = 11*n(v) - 6*o(v). What is the first derivative of d(i) wrt i? -9*i**2 Let u(t) = t**4 + t - 1. Let m(s) = 22*s**4 + 33*s**2 - 4*s + 4. Let k(y) = -m(y) - 4*u(y). What is the third derivative of k(b) wrt b? -624*b Let f(q) be the second derivative of -q**5/120 + q**4/12 + q**3/2 + 6*q. Let r(n) be the second derivative of f(n). Differentiate r(g) wrt g. -1 Let p(a) be the third derivative of 0*a**6 + 0*a**3 + 0*a + 0 + 1/60*a**5 + 3/70*a**7 + 7*a**2 + 0*a**4. What is the third derivative of p(u) wrt u? 216*u Let j(y) = y**2 + 22*y + 40. Let u(r) = r**2 + 22*r + 39. Let h(z) = 2*j(z) - 3*u(z). What is the derivative of h(t) wrt t? -2*t - 22 What is the second derivative of 5*d**5 - 2*d + 2*d**4 - 40 + 38 + d wrt d? 100*d**3 + 24*d**2 Suppose n + 4 = 2*n. Suppose n*s + 12 = s, 4*k - 3*s = 20. What is the derivative of -2*h**2 + 4 - 3 - k - 1 wrt h? -4*h Let i(s) be the second derivative of 5*s**7/42 - s**3/3 - 4*s. What is the second derivative of i(a) wrt a? 100*a**3 Let b(d) be the third derivative of -2*d**7/105 + d**6/30 - 13*d**5/12 - 5*d**2 - 3*d. What is the third derivative of b(j) wrt j? -96*j + 24 Let n(l) be the second derivative of -l**7/2520 - l**6/240 - l**4/3 - 4*l. Let r(q) be the third derivative of n(q). Find the second derivative of r(b) wrt b. -2 Let j(y) = -18*y**2 - 21*y + 4. Let s(u) = -18*u**2 - 21*u + 5. Let g(x) = 5*j(x) - 4*s(x). What is the second derivative of g(m) wrt m? -36 Suppose -3 + 11 = 4*n. Suppose -3*f + 21 = g + 5, n*g = f + 4. Find the third derivati
{ "pile_set_name": "DM Mathematics" }
rrange 1083*s + 1577*s + 2 - 2 - 3783*s to the form v*s + x and give v. -1123 Rearrange -57 + 2*s**2 + 221 + 389 + 17*s + 61 - 16*s to q + f*s + d*s**2 and give q. 614 Express 5 - 390*b - 12*b**2 + 784*b - 393*b - b**3 in the form l*b + k + q*b**3 + r*b**2 and give k. 5 Rearrange (-4*i - i + 6*i)*(-5 - 7 + 3)*(4*i + 3 - 3)*(i + 8*i + 20*i) to the form m*i**2 + r*i + w*i**3 + l and give w. -1044 Express 4 - 3 + 62125*x - 1173*x**2 - 2 - 62125*x in the form o*x**2 + t*x + b and give o. -1173 Express -13*x**2 - 16396 + 17444 + 10*x**2 in the form l*x**2 + o + v*x and give o. 1048 Express (-15 + 7 - 7)*((-2 - i + 2)*(-1 + 0 + 0)*(0 + 3 - 6) + (-4*i + i + 2*i)*(2 - 1 + 5)*(4 - 3 + 1)) in the form s + f*i and give f. 225 Express (-2*h + 2*h + 2*h)*(-h**2 + 0*h**2 + 0*h**2) - 22093611*h**2 + 31505*h**3 + 22093611*h**2 in the form q + k*h + t*h**2 + y*h**3 and give y. 31503 Express -u - 311*u**2 - 872*u**4 - 869*u**4 - 511*u**2 - 4 + 1740*u**4 in the form n*u**2 + h*u + p*u**4 + f*u**3 + j and give h. -1 Express 53*v**2 + 12 - 326*v**2 - v + 184*v**2 as w*v + g + j*v**2 and give j. -89 Rearrange (-33*m + 1768*m - 46*m)*(-1 + 2 - 3) to the form s + d*m and give d. -3378 Express (-10103*u + 10963*u + 14111*u)*(3 - 5 + 0) as d*u + y and give d. -29942 Express 35 - 157 + 129 + d + 0*d + 144 in the form b + i*d and give b. 151 Express 18*f**4 + 85 - 2*f**2 - 27 - 17*f**4 - 11*f + 72 + 9*f as m*f**4 + p*f**2 + y*f + j*f**3 + l and give p. -2 Rearrange (2*k + 109 - 243 - 872)*(-1 - 3 + 2) to the form c + p*k and give c. 2012 Rearrange 574*v**2 - 4*v - 713*v**3 - 572*v**2 + 1 + 716*v**3 to c + q*v + y*v**2 + i*v**3 and give c. 1 Express -10 + 79 - 35 + 23*b**2 - 34 + 3*b as p*b**2 + l*b + v and give l. 3 Express 99*c + 21 + 37 - 12 - 5 + 21 in the form t + a*c and give t. 62 Express 253 + 66 - u**2 + 2*u**3 + 11 - 54 - 2*u as j*u**2 + h*u**3 + t + r*u and give r. -2 Express 9549 - 9550 - 10*z**2 - 13667*z + 11*z**2 as d + x*z + g*z**2 and give g. 1 Rearrange 19*g**2 - 23*g**2 + 5*g**3 + 6*g**2 - 3 - 2 + 6 + 139*g to the form j*g**2 + t*g**3 + l*g + b and give b. 1 Rearrange -99*d**3 - 14*d + 5*d**2 - 15*d - 4 + 15*d + 102*d**3 to the form f*d**2 + c*d + z*d**3 + u and give f. 5 Express (4*h**2 + h - 2*h**2 + 4*h**2)*(136*h**2 - 956 + 956) as f*h**4 + g*h**2 + i*h**3 + b + o*h and give i. 136 Express (-2 - l + 2)*(-8 - 11 + 18) + 23*l - 43*l + 4*l + 0 - l + 0 in the form y*l + x and give x. 0 Express (0 + 0 + 11*a**2)*(-24*a - 14*a - 11*a)*(3 - 4 + 0 + (1 + 3 - 2)*(0 - 2 - 1)) as s + w*a**3 + u*a**2 + p*a and give w. 3773 Rearrange 944 + 939 + k + 225*k**2 - 1881 - 46*k**2 to the form y*k**2 + w*k + v and give y. 179 Rearrange -254*p + 760*p - 257*p - 252*p - 331 to the form k + f*p and give k. -331 Express 0*z + 26 + 12*z**3 + z - 3*z - z**4 - 3*z**3 - 27*z**3 in the form g*z**4 + v*z + f*z**3 + t*z**2 + u and give t. 0 Express (-2 + 0 + 0)*(-60 - 111*b + 67 + 30*b)*(4 - 6 + 4) in the form g + i*b and give g. -28 Rearrange -37896 + 37896 - 529*a - 1832*a to i*a + h and give i. -2361 Express 10 - 4*a**2 - 747*a + 708*a - 2*a**2 + 4*a**2 as y*a + l*a**2 + u and give y. -39 Express -169 - r + 2*r + r - 159 - 63 in the form z*r + u and give u. -391 Express 77 - 957 + 501*h - 488*h in the form t*h + p and give p. -880 Rearrange (0 - 3 + 1)*(1 + m - 1) + (-990 + 988 + 6*m + 134*m)*(35 - 15 - 12) to z*m + v and give v. -16 Express -138*s - 301*s + 325*s - 874*s - 499*s + 2*s + s - s + (2 - 1 + 0)*(-4*s + 6*s - s) in the form d*s + m and give d. -1484 Express -2*w**4 - 32 - 37 - 15*w - 2*w**3 + 11*w**2 - 37 + 102 as d*w**2 + m*w**3 + z + x*w**4 + t*w and give d. 11 Rearrange -2 + 8979*q**3 + 649*q - 8977*q**3 - 5*q**4 + 4*q**4 to y*q**4 + g + m*q + h*q**2 + l*q**3 and give l. 2 Express 3 + 2271*c**2 - 3 - 787*c**2 - 661*c**2 as m + b*c**2 + g*c and give b. 823 Express -8 - 791*c - 3*c**4 + 1660*c - 829*c + 2*c**2 as o + k*c**2 + r*c**4 + j*c**3 + n*c and give o. -8 Rearrange ((5*k - k - 2*k)*(-90 + 90 - 8*k) - 36*k**2 + 0*k**2 - 32*k**2)*(1 + 1 + 1)*(3 - 3 - 2*k) to the form u*k**2 + c + t*k**3 + d*k and give t. 504 Express ((1 + 5 - 5)*(-3 + 4 - 3) + 0 + 2 - 8)*(6 - 1 - 3)*(-92 - 34*s + 92)*(13 - 2*s - 13) in the form v*s + g*s**2 + c and give g. -1088 Express (a + 2*a - 2*a + (-5 - 1 + 0)*(-4*a - 2*a + 2*a) + 0*a + 2*a + 2*a)*(10 - 10 - 11*a) in the form w*a**2 + n + p*a and give w. -319 Rearrange 82*t + 33*t**2 + 92*t - 11*t**2 - 18*t**2 - 171*t + 283 to the form m*t**2 + k*t + g and give m. 4 Express 1 + 849*h**3 + 0*h**2 - 1227*h**3 + 1 - 7922*h**3 - h**2 as k + x*h**3 + n*h + q*h**2 and give k. 2 Express 49479 + 3610*k**2 - 49479 in the form v*k + c*k**2 + u and give c. 3610 Rearrange 59*z**3 - 2*z + 583296 + 0*z - 583294 + z**2 to f + r*z**3 + v*z + a*z**2 and give v. -2 Express (0*k**2 + 0*k**2 - k**3)*(3363 + 488 + 6417 + 3914 + 5797) as a*k**3 + x*k + i*k**2 + z and give a. -19979 Rearrange 5*b - 2*b**3 - 116*b**2 - 110*b**2 + 324 + 347*b**2 - 120*b**2 + b to the form t*b**2 + h + g*b + q*b**3 and give t. 1 Express -13*z**2 - 431 - 286 - 430 + 313 in the form r*z**2 + k + t*z and give r. -13 Rearrange (-2*n - 2 + 2)*(2 + 3 - 6 - 1 - 2 + 1 + (-3 + 1 + 1)*(-3 + 0 + 1) + (-321 - 67 + 54)*(0 - 2 + 5)*(2 - 1 + 3)) to h*n + i and give h. 8018 Express 8473*y - 4330*y + 22797*y - 3372*y in the form u*y + o and give u. 23568 Express 89*w**2 + 106*w**2 + 93*w**2 - 41*w - 259*w**2 in the form z*w**2 + h + t*w and give t. -41 Express 33075*d**2 + 19*d**3 - 13 - d + 27 - 33076*d**2 as o*d**2 + a + n*d**3 + g*d and give o. -1 Rearrange -367*d + 2624*d + 3890*d + 5627*d to q*d + h and give q. 11774 Express 368 - 145*o - 340 + 2*o as n + b*o and give n. 28 Express (x**2 - 4 + 8*x - 8*x)*(-2513 + 2554 - 1767) as t + g*x**2 + b*x and give g. -1726 Rearrange -453*i**2 + 0*i**4 + 454*i**2 + 0*i**3 + i**3 - i**4 - 119*i + i**3 to w*i**4 + m*i**2 + n + p*i**3 + o*i and give w. -1 Rearrange -165*c**3 - 2*c**4 - 2*c + 26 + 2 + 25 + 158*c**3 to the form u*c**2 + x*c**3 + l*c + j*c**4 + a and give a. 53 Express (-2 + 5 - 4)*(-57*g + 266*g + 160*g) in the form q + f*g and give q. 0 Express f**2 + 0*f**2 + 0*f**2 + (-1 - 4 + 3)*(34 - 44*f - 34)*(7*f - 1193 + 1193) as b*f**2 + v*f + m and give b. 617 Rearrange 2 + 2*l**4 - l**3 + 2624*l - 2623*l + 2*l**4 + 14*l**2 + 17*l**2 to g*l**2 + x*l**4 + q*l**3 + k*l + p and give x. 4 Rearrange 283*i - 1070*i + 2511*i + 4441*i to n*i + k and give n. 6165 Rearrange 5*b - 5*b - 13*b + 2*b + b - 108*b**2 + 1 to the form c*b**2 + s + h*b and give s. 1 Express -28460 - 12457 + 3010 + 2*v**3 - 4*v**3 + (-2*v + 2*v - 2*v)*(0*v**2 - v**2 + 3*v**2) in the form w + n*v**3 + b*v**2 + d*v and give n. -6 Express (-418 + 23744*c - 1272 + 2*c**2 + 1690)*(-2*c - 3 + 3) as a + z*c + s*c**2 + r*c**3 and give a. 0 Rearrange 4680*p - 117*p + 1263*p - 584*p to m*p + y and give m. 5242 Express 3*r**2 + 22*r**2 - 1 + 2*r**2 + 2*r**3 + 6*r**3 - 2*r**3 as l*r**2 + o + v*r**3 + d*r and give d. 0 Rearrange -411591*l + 12060*l**2 + 411591*l to x*l + q + u*l**2 and give u. 12060 Rearrange 185*i + 116*i + 3*i**2 - 368*i + 280*i to l + r*i + x*i**2 and give x. 3 Express -2274 + 2719*z - 514*z - 2274 + 4548 in the form q*z + u and give q. 2205 Express (-k + 2*k - 2*k)*(-12*k - 61 - 827*k**3 + 27 + 828*k**3) - 15*k**4 - 12*k**4 + 4*k**4 in the form d*k**4 + r*k + c + z*k**3 + v*k**2 and give d. -24 Express -2*r - 11*r - 21*r**2 + 7*r - 5*r**3 + 334*r**2 + 4*r in the form k + d*r**2 + q*r**3 + h*r and give q. -5 Express (4*q + 0*q - 5*q)*(2141 + 2514 + 4104) as p*q + j and give p. -8759 Rearrange 235 - 81 - 76 - 78 - 4499*u to the form t*u + l and give t. -4499 Rearrange (3*o**4 + 0*o**4 - 2*o**4)*(-1 + 0 - 1) + 2770757*o - 12861*o**4 - 2770757*o to j + u*o + b*o**2 + d*o**3 + n*o**4 and give n. -12863 Rearrange (3 - 3*p - 3)*(-p - p + 0*p) + 3*p**2 - 4*p**2 - p**2 + (1 + 13 - 4)*(7*p - 11*p - 11*p)*(2 + 2*p - 2) to the form h*p**2 + v + f*p and give f. 0 Express -125*o**2 - 27 + 61*o**2 + 24*o - 27*o + 82*o**2 in the form j*o**2 + b*o + f and give j. 18 Rearrange -3 + 30 + 15*y + 35 - 140 to the form x*y + a and give x. 15 Rearrange -4 + 7685*f**2 - 7689*f**2 + 3 - 375*f + 1 to the form o + p*f**2 + n*f and give n. -375 Express 247 + 254 - 502 - 950*x - 187*x in the form w
{ "pile_set_name": "DM Mathematics" }
e third derivative of -4*p**3 + 7*p**2 - 2*p**3 + 10*p**2 + 0*p**3 wrt p. -36 Let j(t) be the first derivative of 3*t**5/10 - t**4/12 - 4*t + 2. Let b(c) be the first derivative of j(c). What is the third derivative of b(a) wrt a? 36 Suppose -4*l + 3 = 35. Let m be (l/(-6))/(-4)*-15. Find the second derivative of u**5 - 3*u - u**m + 3*u**5 wrt u. 60*u**3 Let b(c) = 6*c - 1. Let o(i) = i**2 + i. Let w(x) = b(x) - 6*o(x). Find the first derivative of w(q) wrt q. -12*q Let l(u) be the second derivative of 5*u**7/21 - u**4/3 - 16*u. What is the third derivative of l(a) wrt a? 600*a**2 Let t be 0 - (1 + 0)*-11. Let x = t - 9. What is the second derivative of -u**3 - u - x*u**5 + u**3 + 3*u wrt u? -40*u**3 Suppose 0 = 5*k + 25, -q - 5*k + 8 = 2*q. What is the derivative of -q + 5 + 7*s + 3 wrt s? 7 Let a = 0 - 0. Let g(b) be the third derivative of a*b + 0 - 1/12*b**4 + 1/6*b**3 - 2*b**2. Differentiate g(f) with respect to f. -2 Let h(c) be the first derivative of 32*c**3/3 - 35*c + 2. Find the first derivative of h(n) wrt n. 64*n Suppose 4*b - 3*g = 31, 2*g = 4*b + 6*g + 4. What is the second derivative of 0*x**3 + 2*x**b + 0*x**4 + 0*x**3 + 6*x wrt x? 24*x**2 Let z(u) be the third derivative of 0*u + 4*u**2 - 2/3*u**3 + 0*u**4 + 0 + 1/30*u**5. What is the first derivative of z(b) wrt b? 4*b Let n(q) be the second derivative of -q**9/5040 + q**7/504 + q**4/2 + 4*q. Let p(j) be the third derivative of n(j). Find the third derivative of p(l) wrt l. -72*l Find the second derivative of 6*k**5 + 21*k**4 - 42*k**4 + 4*k + 21*k**4 wrt k. 120*k**3 What is the second derivative of 41*d**3 - 18*d**3 - 20*d**3 + 13*d wrt d? 18*d Let y(u) = u - 2. Let l be y(2). What is the derivative of -3*k + 6*k + l - 5 wrt k? 3 What is the third derivative of -j + 2*j - j**3 + 5*j**2 - j wrt j? -6 Let v(d) be the first derivative of 8*d**5/5 - 3*d + 1. What is the derivative of v(a) wrt a? 32*a**3 Differentiate 4 - 4*l**2 + 3*l**2 - 6*l**2 with respect to l. -14*l Suppose 0 = -4*t + d + 29, -2*t + 6*t = 4*d + 44. Suppose 0 = 2*m + m - t. What is the first derivative of 4*l**3 + m - 5*l**3 - 2*l**3 wrt l? -9*l**2 Let p be (-21)/(-6)*4/7. What is the derivative of -7*m - 3 + p + 3*m wrt m? -4 Let v(i) = -16*i**4 - 4*i**2 - 9. Let q(u) = u**4 + u**2 + 1. Let h(j) = 4*q(j) + v(j). Differentiate h(l) with respect to l. -48*l**3 Let c(s) = -s - 12. Let j be c(-12). What is the second derivative of j*b**5 + 7*b**5 - 6*b - 12*b**5 wrt b? -100*b**3 Let o(s) = 13*s**3 - 16*s - 5. Let m(t) = -t**3 - t + 1. Let v(a) = 5*m(a) + o(a). What is the second derivative of v(y) wrt y? 48*y Let i(n) = -44*n**3 + 7*n**2 - 5*n. Let r(k) = 21*k**3 - 3*k**2 + 3*k. Let o(m) = 4*i(m) + 9*r(m). What is the third derivative of o(g) wrt g? 78 Let k(j) be the first derivative of 2*j**5 - 12*j**3 + 51. Find the third derivative of k(o) wrt o. 240*o Differentiate 3*g**2 - 5 - g**2 - 2*g**2 - 18*g**3 wrt g. -54*g**2 Let n(f) = 120*f**4 + 64. Let p(b) = 40*b**4 + 21. Let y(q) = -6*n(q) + 17*p(q). What is the first derivative of y(h) wrt h? -160*h**3 Let w(r) = 3*r**6 - 11*r**5 + 12*r**2 + 11. Let s(a) = -a**6 + 6*a**5 - 6*a**2 - 6. Let t(f) = 11*s(f) + 6*w(f). Find the third derivative of t(h) wrt h. 840*h**3 What is the second derivative of 16 - 4 - 12 + 18*q - 37*q**2 wrt q? -74 Let t(k) = k**3 + 2*k**2 - 4*k. Let f be t(-3). Let j be (-1)/f - 13/(-3). Find the second derivative of 0*g**j - 3*g**4 + g**4 + 3*g wrt g. -24*g**2 Let d(i) = -11*i - 5. Let c(h) = 10*h + 4. Suppose 4*o - 15 = 9. Let s(q) = o*c(q) + 5*d(q). Differentiate s(v) wrt v. 5 Let h(b) be the second derivative of 13*b**7/21 + 2*b**4 + 19*b. What is the third derivative of h(p) wrt p? 1560*p**2 Let m be 1/(9/6 - 1). What is the derivative of z**2 - 3 + 2*z**2 + m wrt z? 6*z Let p be 58/4 - (-6)/4. Let d = 11 - 7. Differentiate -d*s**4 - p*s + 4 + 16*s with respect to s. -16*s**3 Let k(a) be the first derivative of 0*a**3 - 4 + 0*a - 2*a**2 + 1/4*a**4. Find the second derivative of k(v) wrt v. 6*v What is the third derivative of 2*b + 4*b - 6*b - 34*b**3 + 28*b**2 wrt b? -204 Let k(m) = -m**3 + 4*m**2 + 2*m - 3. Let b be k(4). What is the third derivative of -6*f**6 + f**2 - 7*f**b + 7*f**5 + 0*f**2 wrt f? -720*f**3 Suppose 4 + 2 = 2*s. What is the first derivative of 2*u**3 - 3 - 2*u**3 - u**s - u**3 wrt u? -6*u**2 Let n(v) = 21*v**2 + v - 1. Let c be n(1). Let p be c + (-6)/(-3)*-1. Find the second derivative of -22*t**3 + p*t**3 + 2*t**2 - 2*t**2 - t wrt t. -18*t Let a(o) = 2*o**4 - 5*o**2 + 1. Let f(q) = q**4 - 2*q**2. Let d = -5 - 0. Let p(c) = d*f(c) + 2*a(c). Find the first derivative of p(t) wrt t. -4*t**3 Let q(x) = -x**5 + x**4 + x**2. Let g(y) = 7*y**6 - 2*y**5 + 2*y**4 + 7*y**2. Let b(a) = g(a) - 2*q(a). What is the third derivative of b(m) wrt m? 840*m**3 Let o(f) be the third derivative of -f**9/168 + 73*f**5/60 - 20*f**2 - 1. Find the third derivative of o(g) wrt g. -360*g**3 Let s be ((-2)/(-2))/(10/110). Find the third derivative of -2*k**2 - s*k**4 - k**2 + 11*k**4 - k**5 wrt k. -60*k**2 Let o(y) = 19*y**4 + 9*y**2 + 5*y - 9. Let z(c) = -5*c**4 - 2*c**2 - c + 2. Let k(g) = -2*o(g) - 9*z(g). What is the second derivative of k(u) wrt u? 84*u**2 Let i(x) = -34*x**3 + 2*x**2 - x. Let j be i(1). Let k be (2/(-6))/(1/j). Find the second derivative of -5*u + k*u - 5*u + 3*u**3 wrt u. 18*u Let y = 9 - 7. Suppose y - 7 = -s. What is the first derivative of -s + 3 - b**4 - 1 wrt b? -4*b**3 Let t(v) = 3*v**2 + 3. Let o(y) = 2*y**2 + 4 - y**2 - 4. Let h(k) = -2*o(k) + t(k). Differentiate h(m) wrt m. 2*m Let y(r) = r + 4. Let b be y(-6). Let q be 4 + b - (-2 - 0). Differentiate 1 + h**q + 5 - 5 with respect to h. 4*h**3 Let r = 12 - 10. Let i(a) be the first derivative of -1/5*a**5 + 0*a**3 - 2 - 2*a + 0*a**4 + 0*a**r. What is the derivative of i(k) wrt k? -4*k**3 Let t(p) = 1. Let k(f) = -2*f - 9. Let m(b) = k(b) + 4*t(b). What is the first derivative of m(v) wrt v? -2 Suppose -q - 3 = -5. What is the first derivative of -7 + p**2 + 3 + 3 + p**q wrt p? 4*p Let r be 4/(-18) + (-20)/(-9). What is the third derivative of 0*z**r + z**2 - 6*z**4 - 3*z**2 wrt z? -144*z Let r(u) be the third derivative of u**7/42 + u**3/3 - 3*u**2. Find the first derivative of r(t) wrt t. 20*t**3 Let c(h) = -h**3 + 4*h**2 - h + 1. Let p be c(2). Find the third derivative of -4*s**5 - p*s**2 + 6*s**5 + 3*s**2 wrt s. 120*s**2 What is the third derivative of 238*b**5 + 0 - 255*b**5 - 38*b**2 + 0 wrt b? -1020*b**2 Let g(r) = 8*r**2 - 2*r - 3*r + r - 4*r. Let j(h) = h**2 - h. Suppose 2*o = -2*o - 24. Let u(a) = o*j(a) + g(a). Find the second derivative of u(i) wrt i. 4 Let p(k) = -10*k**2 - 4*k + 6. Let s(b) = -b. Let j(t) = p(t) - 4*s(t). Find the first derivative of j(n) wrt n. -20*n Suppose 3*x + 12 = -s, -25 = -5*s - x + 3*x. Find the second derivative of 3*l - 3*l**3 + 6*l**3 + 0*l**s wrt l. 18*l Let f(s) be the first derivative of s**5/24 - s**4/6 - 5*s**3/3 - 2. Let i(q) be the third derivative of f(q). Find the first derivative of i(y) wrt y. 5 Differentiate -79*k**3 - 2 + 109*k**3 + 33 wrt k. 90*k**2 Let o(s) = -s**3 + 2*s**2 - 2*s. Let d(r) = -r**3 + r**2. Let g(z) = 2*d(z) - o(z). What is the second derivative of g(w) wrt w? -6*w Suppose 14 = 4*r - 6. Let a(p) = -p**3 + 7*p**2 + 9*p - 6. Let x be a(8). Find the first derivative of -r + 2 - x*b + 2 wrt b. -2 What is the second derivative of 35*u**3 + 9*u - 215 + 215 wrt u? 210*u Let k be ((-2 + -10)/3)/(-2). What is the second derivative of -v + k*v**4 - v**4 + v**5 - v**4 wrt v? 20*v**3 Let q(g) be the first derivative of -11*g**3 - 2*g + 9. What is the derivative of q(j) wrt j? -66*j Let u(s) be the first derivative of 0*s + 0*s**5 + 0*s**3 + 3 - 3/2*s**2 + 0*s**4 - 1/6*s**6. Find the second derivative of u(f) wrt f. -20*f**3 Let b(h) be the third derivative of -h**7/210 + 5*h**3/2 - 7*h**2. Find the first derivative of b(l) wrt l. -4*l**3 Let v(b) be the second derivative of b**8/1120 - b**5/30 - b**4/2 - 3*b. Let w(q) be the third derivative of v(q). Find the first derivative of w(d) wrt d. 18*d**2 Let o(k) = 15*k**2 + 50. Let y(q) = -3*q**2 - 10. Let i(j) = -2*o(j) - 11*y(j). Differentiate i(u) wrt u. 6*u Let f = -8 + 11. What is the third derivative of w**4 + 2*w**2 + 0*w**6 - w**4 + f*w**6
{ "pile_set_name": "DM Mathematics" }
0 + 1/6*n**5 + 1/2*n**4 + 0*n - 2/3*n**2. n**2*(n - 1)*(n + 2)**2/6 Let i(n) be the third derivative of -n**8/896 + n**7/560 + 3*n**6/320 - n**5/32 + n**4/32 + 6*n**2. Determine y so that i(y) = 0. -2, 0, 1 Let u(q) = 7*q - 2. Let n be u(1). Let -2*m**2 - 2*m**2 - n*m + 5*m = 0. What is m? 0 Suppose -344*d + 332*d + 48 = 0. Suppose 0*p - 2/11*p**2 - 32/11*p**5 - 16/11*p**3 + 0 - 40/11*p**d = 0. Calculate p. -1/2, -1/4, 0 Suppose 3*n - 506 = -x + 6*x, 0 = 3*n - x - 526. Let o = -881/5 + n. Factor 2/5*d**2 + 2/5 + o*d. 2*(d + 1)**2/5 Let f(s) = s**3 - s**2. Let y(u) = -9*u**2 - 3*u. Let t(w) = -3*f(w) + y(w). Factor t(o). -3*o*(o + 1)**2 Let l(v) be the second derivative of -v**6/1260 + v**5/210 - v**4/84 - 7*v**3/6 + 4*v. Let w(y) be the second derivative of l(y). Determine t so that w(t) = 0. 1 Suppose 0 = 2*y - 6 - 0. Suppose 0 = y*j - 6. Let 4*i**j - 4*i**2 + 5*i**2 - 3*i**2 = 0. What is i? 0 Let t(z) be the second derivative of z**4/3 + 2*z**3/3 - 22*z. Factor t(c). 4*c*(c + 1) Let b(z) be the first derivative of 5*z**4/16 - 5*z**3/12 - 5*z**2/2 + 5*z + 40. Factor b(n). 5*(n - 2)*(n - 1)*(n + 2)/4 Suppose -5*q + 2*x = -2, 3*q + 3*x = -x + 22. Factor -12*l - 4*l**5 - 32*l**3 - 15*l**4 + 0*l**5 - 3*l**4 - 28*l**2 - q + 0*l**4. -2*(l + 1)**4*(2*l + 1) Let b(m) be the second derivative of -m**6/3 + 23*m**5/20 - 31*m**4/20 + 16*m**3/15 - 2*m**2/5 - 5*m. What is k in b(k) = 0? 2/5, 1/2, 1 Factor -19*y - 2*y - 14*y**2 + 9 - 1 - 3*y. -2*(y + 2)*(7*y - 2) Let b(i) = 3*i - 5. Let j be b(3). What is f in 0 + 5 + 20*f**3 + 18*f**2 - 5 + 4*f + 6*f**j = 0? -2, -1, -1/3, 0 Let s = -2 - -26. Factor 22*q**2 + 2*q**4 - 4*q + 0*q**4 - s*q**2 + 4*q**3. 2*q*(q - 1)*(q + 1)*(q + 2) Determine g, given that 0 + 9/4*g**2 + 0*g + 3/4*g**3 - 9/4*g**4 - 3/4*g**5 = 0. -3, -1, 0, 1 Suppose -k - 5*m = 3 - 2, -4*m = 4. Let d(c) be the second derivative of -2/27*c**k - 1/27*c**3 + 0*c**2 + 0 - 1/30*c**5 + 3*c. Solve d(a) = 0 for a. -1, -1/3, 0 Let z(b) be the third derivative of b**6/660 + b**5/660 - b**4/264 + 19*b**2 + 3*b. Factor z(j). j*(j + 1)*(2*j - 1)/11 Let s(o) be the third derivative of -o**7/840 + o**6/120 - o**4/6 + 2*o**3/3 - 4*o**2. Let c(k) be the first derivative of s(k). Factor c(z). -(z - 2)**2*(z + 1) Let h be 10/(-260)*-13*16/3. Factor -5/3*x**2 + h*x + 1/3*x**3 - 4/3. (x - 2)**2*(x - 1)/3 Suppose 49 - 70 = -3*z. Let s(x) be the third derivative of -1/735*x**z + 1/210*x**6 - 1/42*x**4 + 0*x + 1/21*x**3 + 0*x**5 + 3*x**2 + 0. Factor s(u). -2*(u - 1)**3*(u + 1)/7 Let h(r) = -17*r**2 + 17*r. Let a be (-2)/3*-2*3. Let k(f) = -8 + 8 + a*f**2 - 4*f. Let g(j) = -2*h(j) - 9*k(j). Factor g(t). -2*t*(t - 1) Let j = 7 - 40. Let w = j + 233/7. Solve -4/7*y + 2/7*y**2 + w = 0 for y. 1 Let j = 2020/3039 - -2/1013. Let g = 236/3 - 78. Let j*t**2 - g*t**4 + 2/3*t + 0 - 2/3*t**3 = 0. What is t? -1, 0, 1 Let w be 35/25 - (-6)/10. Let g(h) be the second derivative of -2/21*h**4 + 0 + 3/7*h**w - 3*h + 1/21*h**3. What is j in g(j) = 0? -3/4, 1 Let s = -3 - -21. Find u, given that -47*u**2 + 3*u + 9*u + 49*u**2 + s = 0. -3 Suppose -a + 0*a + 2 = 0. Let o = a - 2. Factor 5*d + 4 + 5*d + o*d**2 - 14*d**2. -2*(d - 1)*(7*d + 2) Let x(v) = 2*v**5 - 18*v**4 + 56*v**3 - 72*v**2 + 31*v. Let r(p) = p. Let b(o) = -2*r(o) - 2*x(o). Find s such that b(s) = 0. 0, 1, 2, 4 Let x(n) be the second derivative of -3*n**5/100 - 3*n**4/4 - 27*n**3/10 - 39*n**2/10 - 25*n - 1. Let x(o) = 0. What is o? -13, -1 Let t = 53 - 129. Let u = 155/2 + t. Factor 3*j + 3/2*j**2 + u. 3*(j + 1)**2/2 Let c(s) be the first derivative of -2*s - 2*s**2 - 2/3*s**3 - 6. Factor c(x). -2*(x + 1)**2 Let i(d) be the first derivative of d**6/180 - d**5/150 - d**4/90 - d**2/2 + 1. Let y(z) be the second derivative of i(z). Factor y(l). 2*l*(l - 1)*(5*l + 2)/15 Let j = 881 + -879. Let t(p) = p**2 + 2. Let u be t(0). Factor -j*y - 1/2*y**u - 2. -(y + 2)**2/2 Let t = 167/2 + -81. Factor 0 - w - 7/2*w**2 - t*w**3. -w*(w + 1)*(5*w + 2)/2 Suppose 2*z + 20 + 10 = 0. Let y(a) = 3*a**2 - 27*a - 15. Let g(m) = -m**2 + 7*m + 4. Let r(t) = z*g(t) - 4*y(t). Factor r(v). 3*v*(v + 1) Let b(p) be the second derivative of -p**6/300 - p**5/150 + 11*p**2/2 - 7*p. Let g(r) be the first derivative of b(r). Solve g(j) = 0 for j. -1, 0 Let n(d) be the first derivative of -d**5/10 + d**4/6 + 3*d + 3. Let v(p) be the first derivative of n(p). Factor v(k). -2*k**2*(k - 1) Let t(z) = -2*z**3 + z**2 + z + 1. Let s be t(-1). Let k = 4 + -1. Solve -3*w**3 - 2*w**2 - 2*w**3 + s*w**k = 0. -1, 0 Let z(j) be the first derivative of -j**4/28 + j**3/3 - 11*j**2/14 + 5*j/7 + 58. Let z(g) = 0. What is g? 1, 5 Let f be (6 + -4)*5/2. Suppose 6*o - 2*o - f*n - 28 = 0, 4*o - n = 12. Solve -2*y**2 - y**2 + 2*y**o = 0 for y. 0 Let o(z) be the third derivative of z**8/336 - z**7/105 - z**6/60 + 2*z**5/15 - 7*z**4/24 + z**3/3 + 9*z**2. Factor o(u). (u - 1)**4*(u + 2) Let u(x) = -x. Let o(v) = -v**2 - 2*v. Let t be 1 + 1 - (2 + -2). Let p(s) = t*u(s) - o(s). Find j such that p(j) = 0. 0 Let s(f) be the second derivative of 2/147*f**7 + 4/105*f**6 + 0*f**2 + 0 + 1/35*f**5 - 4*f + 0*f**3 + 0*f**4. Suppose s(h) = 0. What is h? -1, 0 Factor -1/3*f - 1/3*f**3 + 2 - 4/3*f**2. -(f - 1)*(f + 2)*(f + 3)/3 Let m be (-21)/(-3) + (-1)/1. Suppose -5*c = -5*n, -n + m = c - 0*n. Factor 3*u**4 - 9*u**4 + 3*u**5 - u**5 + 6*u**c - 2*u**2. 2*u**2*(u - 1)**3 Let s be 6/15*(-20)/(-28). Let y be (-10 - -2)*1/(-2). Factor 4/7 - 10/7*u - s*u**y + 6/7*u**2 + 2/7*u**3. -2*(u - 1)**3*(u + 2)/7 Let b be 22/(30/(-7) + 4). Let d be b/(-21) - (-2)/(-3). Factor 1/2*u**4 - 1 + 5/2*u - 1/2*u**d - 3/2*u**2. (u - 1)**3*(u + 2)/2 Let i(d) be the second derivative of -3*d**5/20 + d**4/2 + d**3/2 - 3*d**2 - 7*d. Suppose i(h) = 0. What is h? -1, 1, 2 Let i(x) = -1. Let u(h) = -h**2 - 4. Let n(g) = 15*i(g) - 3*u(g). Factor n(j). 3*(j - 1)*(j + 1) Let t(j) be the third derivative of j**5/120 - j**3/3 - 21*j**2. Let t(n) = 0. Calculate n. -2, 2 Let p = -1987/6 - -330. Let o = -5/12 - p. Determine d, given that 3/2*d - o - 3/4*d**2 = 0. 1 Factor 4/5*h + 2/5*h**2 + 2/5. 2*(h + 1)**2/5 Let c(s) = -3*s**2 - 7*s - 4. Let z(n) = -30*n**2 - 69*n - 39. Let a(b) = -21*c(b) + 2*z(b). Determine v so that a(v) = 0. -2, -1 Suppose 22 - 1 = -3*v. Let s = v - -11. Factor 4*t**4 + t**2 - 4*t**4 - t**s. -t**2*(t - 1)*(t + 1) Solve -64 + 63 - y**4 - y**2 + 3*y**2 = 0. -1, 1 Let w = -36 - -36. Find m, given that 1/2*m**3 + 1/4*m**4 + 0*m + 1/4*m**2 + w = 0. -1, 0 Let r(c) = -7*c + 254. Let l be r(36). Suppose 0 + 1/2*t**l - 1/2*t**4 + 0*t**3 + 0*t = 0. What is t? -1, 0, 1 Solve -2/17*n - 8/17*n**2 + 0 - 2/17*n**5 - 12/17*n**3 - 8/17*n**4 = 0. -1, 0 Let k = -1 + 1. Suppose k = -8*h + 4*h + 8. Solve 2*f**2 + h - 1 + 4*f + 1 = 0 for f. -1 Let -5*r**2 + 7*r**2 - r**4 + 0*r**2 - 2*r**5 + 2*r**3 - r**4 = 0. What is r? -1, 0, 1 Let v = -47/6 - -8. Determine p so that -1/2*p**3 + 1/2*p**2 + 0 + v*p**4 - 1/6*p = 0. 0, 1 Suppose 12*w**3 + 2*w**5 + 3*w**3 - 25*w**4 + 45*w**2 + 3*w**5 = 0. Calculate w. -1, 0, 3 Suppose -2*b + 0*b = n - 7, -5*n - 4*b + 29 = 0. Find j such that -n*j - 3 + j + 5 + 2*j**2 = 0. 1 Find c such that -3/2*c**2 + 3/2*c - 3/2*c**3 + 3/2 = 0. -1, 1 Let p(l) be the third derivative of 1/210*l**5 + 0*l + 0 + 3*l**2 + 0*l**3 - 1/84*l**4. Factor p(c). 2*c*(c - 1)/7 Let l(i) be the first derivative of -i**6/180 + i**5/20 - 2*i**3/3 + 4. Let q(t) be the third derivative of l(t). Factor q(o). -2*o*(o - 3) Factor 3*k**2 - 3*k**3 - 3*k**4 + 2*k**4 + k**4 + 3*k - 3*k**4. -3*k*(k - 1)*(k + 1)**2 Factor -1/2*b**3 + 0 + 1/2*b + 1/2*b**4 - 1/2*b**2. b*(b - 1)**2*(b + 1)/2 Suppose -b = -5*x + 4, b - 8 = 3*x + 3*b. Suppose x = -0*v + 3*v. Solve -6*g**2 - 6*g**3 + 3*g**4 - 2*g - 5*g**4 + v*g**2 = 0. -1, 0 Let a(n) be the second derivative of n**4/20 - n**3/10 + 2*n. Factor a(p). 3*p*(p - 1)/5 Suppose -8/3 - 2*g**2 - 16/3*g = 0. What is g? -2, -2/3 Solve -13/4*p + 3/4 + p**2 = 0. 1/4, 3 Factor -2*q**2 - 9*q + 26 - q**2 - 14. -3*(q - 1)*(q + 4) Let k(q) = -q**2 + 7*q + 3. Let i be k(7). Suppose 7*z - i*z = 4. What is l in -z - 4*l + 4*l**2 - 3*l**2 + 5 = 0? 2 Suppose 4*y - 8*y = 0. Let d(i) be the third derivative of 1/6*i**4 + 2*i**2 + 1/30*i**5 + 0*i + y + 0*i**3 - 1/60*i**6. Factor d(l). -2*l*(l - 2)*(l + 1) Let v = -17 + 19. Fin
{ "pile_set_name": "DM Mathematics" }
) = 9*r + 1. Let i(s) = 5*s + 1. Calculate h*i(t) - 3*c(t). -2*t + 2 Let t = 4 + -4. Let q(b) = -5*b - b + 5*b - 2 + t*b. Let c(o) = 6*o + 11. What is 4*c(x) + 22*q(x)? 2*x Let z(k) = 3*k**3 + 7*k + 7. Let h(g) = 9*g**3 + 5*g**2 + 13*g + 8. Let m(u) = -8*u**3 - 4*u**2 - 12*u - 8. Let c(l) = -4*h(l) - 5*m(l). Give 5*c(i) - 6*z(i). 2*i**3 - 2*i - 2 Let l(d) be the second derivative of d**5/20 + d**4/12 - d**3/3 + d**2 + 9*d. Let n(k) = k**2 - k + 1. Calculate l(o) - 2*n(o). o**3 - o**2 Let w(m) be the third derivative of -11*m**6/120 + 3*m**5/20 + 3*m**4/8 + m**2. Let b = 6 - 2. Let f(t) = -5*t**3 + 4*t**2 + 4*t. Give b*w(c) - 9*f(c). c**3 Let n(j) = j - j + 3 + 4*j**2. Let s(h) = 5*h**2 + 4. Let b be (-14)/4 - 3/6. Suppose -3*v - 9 = -5*o, 0 = -0*o + 5*o - v - 13. Calculate b*n(x) + o*s(x). -x**2 Let q(o) = o**3 - o**2 + 3. Let v(x) = -x**3 - x**2 + 1. Determine -q(g) + 3*v(g). -4*g**3 - 2*g**2 Let u(p) = 2*p - 6. Suppose 3*t - 18 = -9. Let g(s) be the second derivative of 0 - t*s + 13/2*s**2 - 2/3*s**3. Determine -6*g(j) - 13*u(j). -2*j Let g(f) = 10*f**2 - 3*f + 8. Let s(p) = 9*p**2 - 2*p + 7. Determine -5*g(y) + 6*s(y). 4*y**2 + 3*y + 2 Let c(h) be the third derivative of -2*h**2 - 1/24*h**4 + 0*h + 0 + 1/2*h**3. Let d(v) = -6*v + 16. What is -11*c(o) + 2*d(o)? -o - 1 Let y(t) = -7*t**3 + 9*t**2 + 5*t - 1. Let u(p) = 3*p**3 - 4*p**2 - 2*p. Let o be -4 - -2*19/2. Let n = 20 - o. Give n*u(j) + 2*y(j). j**3 - 2*j**2 - 2 Let u(q) = 408*q + 48. Let h(l) = 43*l + 5. Determine -48*h(b) + 5*u(b). -24*b Let i be 6/(-51) + (-106)/(-34). Let t(s) = 4*s**2 + 5*s + 2. Let x(a) = 11*a**2 + 14*a + 5. Determine i*x(y) - 8*t(y). y**2 + 2*y - 1 Let t(l) = -2*l + 3 + 1 + 0 - 3. Let z(s) = 12*s - 1 + 3 - 16*s. Give -13*t(g) + 6*z(g). 2*g - 1 Let d(r) be the third derivative of r**6/30 - r**5/15 - 7*r**4/24 - 7*r**3/6 + 3*r**2. Let t(z) = z**3 - z**2 - 2*z - 2. Calculate -2*d(a) + 7*t(a). -a**3 + a**2 Suppose 0*b - 2*b = 4*f + 62, 0 = -f + 5*b - 43. Let u(v) = 21*v**2. Let h(q) = 4*q**2 - 9*q**2 + 4*q**2. Calculate f*h(t) - u(t). -3*t**2 Let k(z) = -z**2 - z. Let i(t) = -3*t**3 + 10*t**2 + 4*t - 17. Let b(j) = -i(j) - 4*k(j). Let n(c) = c**3 - 2*c**2 + 6. Determine 6*b(x) - 17*n(x). x**3 - 2*x**2 Let u(i) = -i**2 - 5*i - 7. Let w be u(-3). Let c(l) = l**3 - 3*l**2 - l + 4. Let y(x) = -x**2 + 1. What is w*c(t) + 4*y(t)? -t**3 - t**2 + t Let t(p) = -p**2 + p + 1. Let s(q) = 4*q + 1. Give s(h) - 2*t(h). 2*h**2 + 2*h - 1 Let j be (6/9)/(6/(-9)). Let a(g) = 9*g**3 - 6*g + 6. Let q(v) = -v**3 + v - 1. Calculate j*a(f) - 6*q(f). -3*f**3 Let l(f) = -f. Let q(h) = -3*h + 1. Let y(j) = -4*l(j) + q(j). Let x = 13 - 13. Let o be (-2 + x)*(3 + -4). Let b(z) = z**3 + 11*z + 11. Give o*b(d) - 22*y(d). 2*d**3 Suppose 2*y + 2*m - 4 = 3*y, -m + 29 = 4*y. Let c(w) = 7*w**2 - 5. Let d(a) = -3*a**2 + 2. Let o = -18 - -33. What is o*d(l) + y*c(l)? -3*l**2 Suppose -3*z = -3*l + 45, 3*z + 4*l + 28 = -z. Let s(r) = r**3 - 2*r**2. Let b(j) be the third derivative of j**6/20 - j**5/6 + j**2. Give z*s(i) + 2*b(i). i**3 + 2*i**2 Let h(n) = 3*n**2 + 5*n - 5. Let z(v) = v - 1. What is -h(r) + 5*z(r)? -3*r**2 Let x(m) = 2*m**3 - 3*m**2 + 4. Let u(l) = -13*l**3 + 17*l**2 - 25. Let c(i) = -6*u(i) - 34*x(i). Let v(h) = -2*h**3 - 3. Determine -3*c(p) - 14*v(p). -2*p**3 Let p(i) = -3*i**2 + 11*i + 4. Let g(s) = -2 - 5*s + 8*s**2 + 0*s**2 + s**2 - 8*s**2. What is 7*g(c) + 3*p(c)? -2*c**2 - 2*c - 2 Let y = -11 - -6. Let n = -10 - y. Let j(m) = -2*m**2 - 6*m + 1. Let z(b) be the first derivative of 2*b**3/3 + 7*b**2/2 - b + 1. What is n*j(d) - 4*z(d)? 2*d**2 + 2*d - 1 Let y(c) = -3*c**3 + 3*c**2 + 2*c. Let r(g) = 5*g**3 - 7*g**2 - 5*g. Determine -2*r(q) - 5*y(q). 5*q**3 - q**2 Let z = -6 - -5. Let j(t) = t + 1. Suppose -3 = -m - 0. Let o(a) = 1 + 3 + 2*a + 0. What is m*j(u) + z*o(u)? u - 1 Let r(i) = -8*i**2 + 6*i + 7. Suppose -4*p - 5 = 19. Let u(c) be the first derivative of -c + 1/3*c**3 - 3 - 1/2*c**2. What is p*u(d) - r(d)? 2*d**2 - 1 Let h(i) = -2*i**2 + 13*i - 3. Let z(y) = -2*y**2 + 13*y - 4. Calculate -6*h(o) + 5*z(o). 2*o**2 - 13*o - 2 Let q(f) = 19*f + 1. Let h(l) = -20*l - 1. What is 4*h(p) + 5*q(p)? 15*p + 1 Let i(z) = 9*z**2 - 4*z + 3. Let o(n) = -4*n**2 + 2*n - 1. Suppose 4*y = 12 - 48. Let x be (1 - y)/(-6 + 4). Give x*o(c) - 2*i(c). 2*c**2 - 2*c - 1 Let c be (-4)/((-4)/(-7))*-1. Let n(m) = -1. Let b(q) = 5*q + 1. Let h(y) = -b(y) + 5*n(y). Let f(p) = -6*p - 7. Give c*h(i) - 6*f(i). i Let w(f) = f**2 + f - 1. Let z(j) = -8*j**2 - 6*j + 6. Calculate -30*w(c) - 5*z(c). 10*c**2 Let r(d) = d. Let c(f) = 11*f - 1. Give c(t) - 5*r(t). 6*t - 1 Let b(g) = g**2 + g. Let c(a) = 8*a**2 + 9*a. Determine -6*b(z) + c(z). 2*z**2 + 3*z Let q(k) = 4*k - 4. Let x be 39/9 - (-2)/3. Let u(j) = 9*j - 9. Determine x*q(l) - 2*u(l). 2*l - 2 Let s(l) be the second derivative of l**3/2 - 7*l**2/2 - 5*l. Let c(t) be the first derivative of -t**2 + 4*t + 3. What is 5*c(w) + 3*s(w)? -w - 1 Let o(d) = -d**2 - 6*d - 7. Let a(w) = -w**2 - 5*w - 6. Let s(h) = -h**2 + 7*h - 7. Let f be s(4). Give f*o(t) - 6*a(t). t**2 + 1 Suppose 3*l - 4 = s + 3, -6 = -2*l. Let i(q) = -q - 5 - 2 + s*q. Let c(t) = t - 6. Determine -5*c(y) + 4*i(y). -y + 2 Let y(j) = -j**3 - j - 1. Let w(a) = 2*a**3 + a**2 + 6*a + 4. Calculate w(l) + 6*y(l). -4*l**3 + l**2 - 2 Let a(h) = -3*h**2 - 2*h + 2. Let p(u) = 7*u**2 + 5*u - 4. Determine -15*a(c) - 6*p(c). 3*c**2 - 6 Let h(w) = -w**2 - w. Let f = 6 - 7. Let j(t) = 10*t**2 - 6*t**2 + 3*t**2 + 9*t - 4*t. Give f*j(k) - 4*h(k). -3*k**2 - k Let z(v) = -12*v + 0*v**2 + 2 + v + 8*v**2 - 5*v**3. Let i(u) = 3*u**2 + 12*u**3 + 3*u + 1 - 7*u - 14*u**3. Give -8*i(j) + 3*z(j). j**3 - j - 2 Let m(h) = h + 1. Let o = 23 - 15. Let g = 1 + 6. Let z(v) = 0 - 10*v - 1 - g. Determine o*m(f) + z(f). -2*f Let n(m) = m. Let x(g) = 5*g. Let t(b) = 6*b. Let v(j) = -4*t(j) + 5*x(j). Suppose -2*y + 3*y - 6 = 0. What is y*v(q) - 4*n(q)? 2*q Let j(k) = 3*k - 14. Let x(r) = 2*r - 7. Give -4*j(d) + 9*x(d). 6*d - 7 Let m be 1 + (1 + -3 - -4). Suppose 0 = 4*y - 3*j + 12, 2*y + 5 - 13 = 5*j. Let z = y + m. Let c(w) = w - 1. Let b(a) = -4*a + 5. Calculate z*c(n) - b(n). n - 2 Let z(a) = -a - 1. Let r(g) = 3*g - 3. What is r(x) + 5*z(x)? -2*x - 8 Let q(a) = 6*a + 21. Let u = -13 + 15. Let x(y) = y + 4. Determine u*q(d) - 11*x(d). d - 2 Let m(x) = -1 + 5 + 1 - x. Let y(b) = b - 4. What is -5*m(f) - 6*y(f)? -f - 1 Let i(z) = z**3 + z**2 - 2*z - 4. Let q(l) = l**3 + 2*l**2 - 3*l - 5. Suppose 5*h + 2 = 4*d, -4 = 2*d + 5*h - 20. Give d*i(u) - 2*q(u). u**3 - u**2 - 2 Let l(p) be the second derivative of p**3/2 - 3*p**2/2 + 2*p - 11. Let b(w) = -2*w + 2. Let g = 13 + -21. Determine g*b(d) - 5*l(d). d - 1 Let a(i) = -i**3 + i + 1. Let z = -29 + 23. Let t(w) = w**2 - w - 4. Let x be t(3). Let q(l) = -3*l**3 - 2*l**3 - 2 + l**3 + 2*l + 4. What is x*q(p) + z*a(p)? -2*p**3 - 2*p - 2 Let u(a) = 2*a - 7. Let i be 6/4*(-4)/(-3). Let j(t) = i*t - 6 + 0 + 0. Calculate -5*j(y) + 4*u(y). -2*y + 2 Let i(v) = v + 1. Let c(o) = -3*o - 3. Let y be 39*((-12)/(-9))/4. Let a = y + -14. Give a*c(k) - 2*i(k). k + 1 Let i(o) = -4*o**3 + o - 4. Let c(x) = 4*x**3 - x + 5. Determine 4*c(y) + 5*i(y). -4*y**3 + y Let v(w) = -30*w - 21. Let q(i) be the first derivative of 3*i**2/2 + 2*i - 25. What is 21*q(p) + 2*v(p)? 3*p Let b(y) = -y**2 + 3*y - 3. Let z(n) = 12*n**2 - 34*n + 34. Determine -68*b(q) - 6*z(q). -4*q**2 Let z(l) = -1. Let f(j) = 6*j**2 + 6. Give -2*f(k) - 12*z(k). -12*k**2 Let a(x) = -5*x + 1. Suppose 0 = 5*p + 5. Let r(u) = -2 + 2 - u. Calculate p*a(d) + 6*r(d). -d - 1 Let s(w) = 4*w + 10. Let j(m) = -5*m - 11. Let h(b) = 5*j(b) + 6*s(b). Let u = -2 + 3. Let p be u/1 - (4 + 5). Let n(d) = -2*d + 8. Calculate p*h(r) + 5*n(r). -2*r Let j(b) = -b. Let c(d) = 4 + 1348*d - 4 - 1350*d. Determine -2*c(l) + 5*j(l). -l Let y(v) = -2*v - 10. Let j(u) = u + 7. Calculate -7*j(x) - 5*y(x). 3*x + 1 Let n(z) = z**3. Let p(u) = 3*u**3 + 2. Suppose 4*a = 4*l + 8, a - 1 = 2*l - 0. Suppose 2*j = -l + 3. Give j*p(g) - 2*n(g). g**3 + 2 Let d(j) = -j + 2. Let h(y) = -9*y + 21. Determine 63*d(a) - 6*h(a). -9*a Let u(r) = -2*r - 1. Let z(t) = -t**2 + t + 4. Let n be z(4). Let g(j) = -j - 7. Let c(o) = -8. Let h(l) = -4*c(l) + 5*g(l). Determine n*u(b) + 3*h(b). b - 1 Let
{ "pile_set_name": "DM Mathematics" }
7531.28 Calculate -45755*1568. -71743840 -4.4 times -2505746 11025282.4 -0.364*207.58 -75.55912 Multiply 180749563 and 0.2. 36149912.6 What is the product of 0.0425274 and -0.65? -0.02764281 Product of -5 and -3431888.6. 17159443 What is -7.472803 times 0.2? -1.4945606 Multiply 60171289 and 0.5. 30085644.5 0.07 times -14.600686 -1.02204802 What is 59 times -5.55487? -327.73733 Work out 67 * -0.20038. -13.42546 What is the product of 0.0656 and 1.11387? 0.073069872 -7122*13553 -96524466 -0.93 * 477360 -443944.8 -26197950 * 19 -497761050 Multiply -71315964 and 2. -142631928 1917*0.06347 121.67199 What is the product of -26624 and 61? -1624064 Product of -3820.9 and 0.565. -2158.8085 Calculate -0.4*-1424928.5. 569971.4 What is the product of 0.3 and -4588.034? -1376.4102 Work out -51 * 43.37096. -2211.91896 -68.1*-0.0231 1.57311 -49636 * 121.7 -6040701.2 What is the product of 8 and -5210016? -41680128 -2949 * -0.0203 59.8647 Product of 3.9 and 22.6079. 88.17081 0.348 * -780120 -271481.76 -0.410937 times 0.4 -0.1643748 Work out 63 * -4114952. -259241976 Multiply -0.3 and 29.93074. -8.979222 What is -0.2 times -175.140984? 35.0281968 -597695 * 1.2 -717234 What is the product of -4472379 and -4? 17889516 Calculate 59106945*-0.1. -5910694.5 What is the product of 4678.5 and 33.21? 155372.985 Calculate -0.5*-285447721. 142723860.5 What is 0.5 times -3855574? -1927787 -5 * -4041.82566 20209.1283 What is -33.969 times 7.381? -250.725189 What is 0.29 times 44.483? 12.90007 Product of 44 and 0.0419818. 1.8471992 -904639*135 -122126265 Work out 6.8860975 * -0.3. -2.06582925 Multiply 0.3 and 84671485. 25401445.5 0.206 times -314.6739 -64.8228234 Work out -14555260 * 0.3. -4366578 What is 2297 times 55978? 128581466 9.06 times -119919 -1086466.14 3328 * -1574 -5238272 Multiply -3.1 and 352158.9. -1091692.59 4 * 12178439 48713756 -14989629*11 -164885919 Product of -0.224 and 5837.8. -1307.6672 22 * 0.0257719 0.5669818 Product of 0.29963 and 0.6. 0.179778 Calculate -15842*-2771. 43898182 Work out 590169 * 0.031. 18295.239 -563707.8 * 0.191 -107668.1898 Work out 4.71858 * -217. -1023.93186 Product of 4 and -46.83886. -187.35544 Product of 0.039 and -241240. -9408.36 3.36 * -0.70238 -2.3599968 Product of 1110900 and 26. 28883400 What is 445658816 times 0.2? 89131763.2 What is -32.5 times 527797? -17153402.5 0.3 times 16692169 5007650.7 What is the product of -13858 and -3467? 48045686 Product of 154 and 0.547938. 84.382452 Product of 679 and 10.3. 6993.7 Calculate -688.27628*0.02. -13.7655256 What is the product of 0.4 and -1101878.6? -440751.44 What is 0.7984 times -0.0558? -0.04455072 -0.1799711*14 -2.5195954 What is 3.9 times -489830? -1910337 10*-11264 -112640 31 times 60932552 1888909112 0.5 * 1300.31461 650.157305 What is the product of 114.4487 and -0.181? -20.7152147 What is -107.6 times 1894? -203794.4 Multiply 0.0303298 and -18. -0.5459364 1.8*169123 304421.4 Product of -0.02 and 563956. -11279.12 64478*15.81 1019397.18 38750*13099 507586250 -0.705*0.13038 -0.0919179 Work out 3315496 * -0.2. -663099.2 0.144*0.111171 0.016008624 What is -355536 times -11? 3910896 Calculate 2*193.2037. 386.4074 0 * -0.56859463 0 What is the product of -6.9846 and 0.036? -0.2514456 What is 0.0439 times 11252? 493.9628 -195098 times 219 -42726462 Calculate 383*48102. 18423066 Work out -1 * -10281411. 10281411 -84 times 78955.7 -6632278.8 Work out -0.5 * -7933019. 3966509.5 19554095 times -1.7 -33241961.5 -9386625*-0.1 938662.5 Multiply -18268010 and -1. 18268010 14.2 * 115014 1633198.8 Work out -2394581 * -765. 1831854465 3 * -4840758 -14522274 What is the product of 2337 and 519.9? 1215006.3 Calculate -2*18544791. -37089582 What is -85647 times -390? 33402330 What is the product of 0.0825 and 168652? 13913.79 Calculate -1535656235*3. -4606968705 Calculate -0.5*-0.5681572. 0.2840786 Product of -0.32 and 36.1842. -11.578944 Work out -313 * 1603.8. -501989.4 What is -0.1 times -9575777? 957577.7 Product of 4 and 405663.061. 1622652.244 -1 * -378.159034 378.159034 Work out -3.2731 * -828. 2710.1268 -7302 times -36127 263799354 What is the product of -7.489428 and -0.3? 2.2468284 Calculate -16*-3593.496. 57495.936 -33.96555*-0.6 20.37933 -0.1 times 0.024343617 -0.0024343617 Multiply 61801012 and -2. -123602024 Calculate -1473.273*14. -20625.822 What is the product of 20784332 and 12? 249411984 What is the product of -0.2 and -65637666? 13127533.2 Calculate -0.04*393043. -15721.72 Product of 4037087 and 0.24. 968900.88 -26169 * 644 -16852836 Multiply -3537 and -3831. 13550247 124 * -24.344 -3018.656 Work out 732132 * 0.045. 32945.94 -1099144 * 0.17 -186854.48 -0.0368 * 765020 -28152.736 Calculate -1*-18242.4262. 18242.4262 What is the product of 444.3 and 0.563? 250.1409 0.1918405 * -0.015 -0.0028776075 What is the product of -34965 and 101? -3531465 What is the product of -336296761 and 3? -1008890283 11056037*0.3 3316811.1 What is the product of -0.31 and -4111093? 1274438.83 32*9675077 309602464 Multiply 915370.21 and 1. 915370.21 What is -7660.4326 times 2? -15320.8652 What is the product of 0.052385 and 0.03133? 0.00164122205 Work out 375 * -3.49497. -1310.61375 -10941*-5.3 57987.3 Product of 0.3229 and -0.7581. -0.24479049 Multiply 0.5511 and -1792. -987.5712 5307 * 387.4 2055931.8 Multiply 143 and -3790449. -542034207 -5.786 times -0.0551 0.3188086 Calculate 5078*1685. 8556430 Work out 103027.3 * 0.7. 72119.11 -0.82*-0.2002413 0.164197866 Work out 268.9 * -992.15. -266789.135 180098*0.005 900.49 Product of 0.3 and 964017. 289205.1 Product of -2.7 and 1287363. -3475880.1 -0.7 * -0.569682 0.3987774 523 times 3.7818 1977.8814 Multiply -4424.872 and -0.3. 1327.4616 Product of -250345353 and -2. 500690706 -26040 times 12 -312480 What is the product of -1.96532 and 101? -198.49732 What is the product of 0 and -4658.511? 0 What is the product of 36413 and -0.0552? -2009.9976 Calculate 59*-293616. -17323344 Multiply -1941435 and -5. 9707175 -4517*-550.5 2486608.5 What is the product of -12 and 3935914? -47230968 Work out -221285.5 * 19. -4204424.5 0.062086962 times -0.07 -0.00434608734 What is 132 times -0.061553? -8.124996 1322567*-11 -14548237 What is the product of 3032902.3 and -0.1? -303290.23 -1496795.51*-0.2 299359.102 What is 0.02037 times -10240? -208.5888 Calculate -0.3*7382452. -2214735.6 Multiply -27738 and -73.55. 2040129.9 -22.7*20655 -468868.5 What is the product of 0.325234785 and 5? 1.626173925 1 times 0.820224 0.820224 What is 11260763.55 times 1? 11260763.55 Calculate 2.53*-297379.5. -752370.135 Product of -3573.937 and -0.069. 246.601653 Multiply -2.828 and -2475. 6999.3 Work out 0.02 * -0.0347398. -0.000694796 What is -13 times 3913550? -50876150 4 * 1844447.7 7377790.8 -0.569154 times 155 -88.21887 What is 77988154 times 1? 77988154 156.9299 times 0 0 Multiply 22 and 57.5465. 1266.023 Work out 14.68217 * 43. 631.33331 What is -0.02 times 50373666? -1007473.32 30*1197452 35923560 Multiply 0.062 and -852.53. -52.85686 Calculate 0.0883*-101872. -8995.2976 0.0177*-161025 -2850.1425 What is the product of -0.2 and 2366.3332? -473.26664 Calculate -411.84298*-1. 411.84298 Calculate -0.05*23186050. -1159302.5 Multiply 32.15255 and 24. 771.6612 What is the product of -0.0086567 and -243? 2.1035781 -0.0281 times -23281 654.1961 Product of -14 and -3.4635233. 48.4893262 -3.96*8779 -34764.84 Multiply -0.6461271 and 0.3. -0.19383813 What is -0.37613845 times 2? -0.7522769 What is the product of -11959303 and -0.9? 10763372.7 Multiply 146624159 and 0.6. 87974495.4 -157221*1.3 -204387.3 What is the product of 5 and -36106899? -180534495 What is the product of -194.5384 and -0.0598? 11.63339632 Product of -1987459 and 0.4. -794983.6 Work out -115325557 * -2. 230651114 What is 0.091 times 215322? 19594.302 What is the product of 0 and 0.11716102? 0 Work out -346 * -112140. 38800440 Multiply -281465 and -51. 14354715 Multiply -0.10552 and 4.5. -0.47484 4 times 0.19120259 0.76481036 What is the product of -0.26452 and 789? -208.70628 Work out 1988.22 * 0.15. 298.233 Product of 4.849 and 1096. 5314.504 Product of 0.2859149 and -12.2. -3.48816178 What is -145.748 times -7? 1020.236 What is the product of -590 and -699660? 412799400 -24488 times -0.1484 3634.0192 Product o
{ "pile_set_name": "DM Mathematics" }
5*z + h - 6 = v, 5*x = -5*z - 10 for x. -3 Let g be (45/(-4) - -9)*(28/(-12) - -1). Solve -5*z - 9 = f, 0 = g*f - 7*f - 2*z for f. 1 Let b be -5*(4 - 1)/(-3). Suppose 9*r - b = 40. Let m(l) = l**3 + 4*l**2 - 4*l + 7. Let p be m(-5). Solve p = -n + s, -s - r = 2*n - 1 for n. -2 Let v(w) = w**2 + 23*w - 42. Let z be v(19). Suppose 6*q + z = -6*q. Let k be (-2)/20 + q/(-30). Solve 2*l + 10 = 3*t, -l = -4*t + k*t + 6 for t. 2 Suppose 2*m = -4*z + 154, 3*z = 5*m - m + 88. Suppose 2*q = -z + 42. Suppose 2*l = q*l - 8. Solve -4*t = -4*x - x + 7, 5*x + t + l = 0 for x. -1 Suppose -4*s + 110 = -5*z - 0, -4*s + 96 = 2*z. Solve -3*b + 2*a = 17 - 22, 2*a - s = -3*b for b. 5 Suppose 12*j = -2*j + 7*j + 28. Solve 0 = 149*u - 152*u, j*q - 4*u + 16 = 0 for q. -4 Let n = 3 + 17. Let x be (3 + -1 + -1)*-22. Let r(o) = -19*o - 418. Let z be r(x). Solve z = s + u + u + 10, -4*u = n for s. 0 Let g = 1340 + -1336. Solve 0 = g*h - 5*s + 2, 4*s = -2*h + 3*s - 8 for h. -3 Suppose -j - 24 = -4*k + 3*j, j + 4 = 0. Suppose -11*b = k - 35. Let v = 37 + -33. Solve -h - 2*l = -0*l - 9, 5*h = v*l + b for h. 3 Let t = 9801 + -9796. Solve 0 = s + 5*d - 20, 23*s - 21*s - 15 = -t*d for s. -5 Let p = 1805 - 1805. Solve 5 = -4*f - a - 7, p = -2*f - 4*a - 6 for f. -3 Let w = 47054 + -47054. Solve w = -93*s + 97*s + 3*a - 6, 0 = 4*s - 3*a + 6 for s. 0 Let n(y) be the second derivative of 13*y**3/6 + 147*y**2 + 47*y. Let h be n(-22). Solve -5*c - 4*w = 5 + 11, -c - 2*w = h for c. 0 Let f be 0/((-3)/((-21)/(-14))). Suppose 3*m + 4 = 2*w + 4*m, f = 4*w - 5*m - 36. Solve h - 3*y = -12, 5*y - w = -h + 4*y for h. 0 Suppose -3 = j + 4*r, 0 = 102*r - 99*r + 6. Solve -j*l = -3*y - 10 - 21, -4*y + l - 13 = 0 for y. -2 Let g(t) = -6*t**3 - 40*t**2 - 25*t + 7. Let r be g(-6). Solve -3*n + r = i, -2*n + 2*i + 3 = 5 for n. 3 Suppose 11*y = 16*y + 3*v - 330, -3*y - 2*v = -199. Suppose y = 11*n + 8. Solve 1 + 18 = -n*x + 2*j, -3*j + 15 = -3*x for x. -3 Suppose -12 = 119*k - 123*k + 2*c, -15 = k - 5*c. Solve -2*s + 3 - 7 = -3*d, 12 = k*s - 2*d for s. 4 Let x(h) = h**2 - 50*h - 332. Let p be x(-6). Solve -3*y + 6*m = 2*m + p, -10 = 5*m for y. -4 Let c(n) = -n**3 + 4*n**2 - 14*n - 13. Let a be c(-1). Solve 2*g - 9 - 21 = a*j, 10 = -2*j + 5*g for j. -5 Let b(a) = -a**3 - a - 5. Let f be b(-4). Let v = f + -51. Suppose -2*q = -7*q - 4*k + 12, 4*k = v. Solve -2*t - 3*o + 11 = q, -5*o + 0*o = -5*t - 10 for t. 1 Suppose -66 = -3*b - 2*f - 65, -f = -4*b + 27. Solve 2*s = -b*g + 17 - 13, 4 = -4*g + 2*s for g. 0 Let b(z) = -2*z - 14. Suppose -f - 24 = 3*w - 8*w, 2*f - 2 = 0. Suppose 24 = -w*q - 21. Let h be b(q). Solve -2*s - h*v + 14 = 0, 2*s - 10 = -3*v - 0 for s. -1 Suppose 30 = 2*i + 4*g, 1 - 21 = -5*g. Suppose -2*h - i*h + 27 = 0. Solve 2*d = -h + 11, 0 = -s + 2*d - 9 for s. -1 Let r(q) = -q**3 - 12*q**2 - 25*q + 21. Let d be r(-9). Solve -10 = -5*k, d*u + 4*k - 17 = 3*k for u. 5 Suppose 9*z - 3*g = 6*z - 48, -z - 18 = -3*g. Let s be 25/z*135/(-75). Solve 5*t - 35 = -3*h, -11*h + 27 = s*t - 8*h for t. 4 Let n = 2 - 1. Suppose 16 + 12 = x. Let b = 28 - x. Solve -2*h + 3*c + b = -n, 0 = 5*h + 3*c + 8 for h. -1 Let f be 10*(4/20 - (-12)/40). Solve 4*x + i + 21 = 0, -28*i + 27*i + 24 = -f*x for x. -5 Let h = 168 - 290. Let t = 126 + h. Solve -5*m + 4*p + 29 = 0, -4*p + 17 = t*m + 1 for m. 5 Let t be 5 + -2 + -18 + 1. Let a(o) = o + 10. Let x be a(t). Let u be 119/34 + 2*1/x. Solve v + 10 = u*p, 4*v + 8 = 4*p - 0 for v. 2 Let g be 128/24*(-72)/(-64) - -1. Solve g*s = -2*y + 8*s + 8, 0 = 5*s for y. 4 Suppose 0*o = -10*o + 927 - 377. Solve 2*c = 0, 5*x - o*c + 20 = -53*c for x. -4 Let z(d) = d**3 - 6*d**2 - 4*d - 8. Let q be z(6). Let h = q - -42. Suppose 1 = 3*m + 4, 0 = -3*a + m + h. Solve -a*l + 6 = 0, f + 4 = -0*f + l for f. -2 Let b be (24/(-30))/2*-10. Suppose -b*h - 12 + 32 = 0. Suppose -3*a + a + 10 = 0. Solve -3*s - 6 = -3*k, -a*s + h = 2*k + 29 for s. -4 Suppose -281*p + 15 - 15 = -1167*p. Suppose 2*w = 5*y + 56, -6*y = -w - 2*y + 31. Solve 4*b + w - 1 = 5*v, p = -3*b + 2*v - 13 for b. -3 Suppose -3*d - 268 + 85 = -3*h, h = -4*d + 76. Solve 2*u + 65*j - h*j - 8 = 0, 0 = -2*u - 2*j + 10 for u. 3 Suppose -2*n + 22 = 13*m - 9*m, -10 = -2*n - m. Suppose -16 = -2*r - 2. Solve 0 = n*w - r*w + 12, 3*t = -3*w + 3 for t. -2 Let w = -142 - -152. Suppose -w = -0*c - 5*c. Solve -2*p = -f - 4 - 0, -20 = c*p + 5*f for p. 0 Suppose 5 = -6*f + 17. Suppose 0 = f*a - 2 - 8. Solve 2*k = v - a - 0, -1 = v for k. -3 Let d = -11612 + 11673. Solve -n + 2*k = 2, -n = 64*k - d*k - 13 for n. 4 Suppose -5*o - 55 = 4*q, 5*q + 7*o = 9*o - 44. Let p(z) = z**3 + 10*z**2 + 4*z + 42. Let l be p(q). Solve -2*g + 10 = 2*y, -10 = -g + 4*g - l*y for g. 0 Let h(d) = -560*d - 2771. Let c be h(-5). Solve 2 = 4*i + 3*x - 1, -c = 3*i - 4*x for i. -3 Let b(h) = -2*h**3 - 3*h**2 - 38*h - 512. Let d be b(-7). Solve -3*f + 291*y - d*y = -1, 5*f - 2*y - 7 = 0 for f. 1 Let p = 535 - 578. Suppose a - 4*x + 51 = 16, 2*a - 4*x = -78. Let u = p - a. Solve 5*b - 25 = -d + 4*d, -4*b - d + 20 = u for b. 5 Suppose -4*q - 2*o = -0*q - 466, -4*q + 460 = 4*o. Let l = -7 + q. Let d be (-37)/l + ((-14)/(-6) - 0). Solve 4*p = -u - 25, d*p = -3*u + 8*u + 15 for p. -5 Suppose -130*r + 13 = -128*r + 3*g, -5*r + 20 = -5*g. Solve 0 = 14*p - 15*p + r*b + 22, 5*p + b - 6 = 0 for p. 2 Let x = -11146 - -11149. Solve 3*q = -x*v + 30, 28*v - 20 = 24*v for q. 5 Let s = 4899 - 4896. Solve 9*x = 5*x - s*v + 27, x = -v + 8 for x. 3 Let y(z) = -z**3 + 8*z**2 + 28*z + 13. Let i be y(12). Let f = i - -232. Solve 0*m = -4*m - 2*n + 8, -f*m - 4*n = -4 for m. 4 Suppose 5*t - 3*r = 281, 35*t + 5*r = 36*t - 43. Solve 56*q + 9 = t*q - i, -4*q - 3*i = -13 for q. 4 Let n(j) = j**3 - 9*j**2 + 4*j + 35. Let f be n(8). Suppose 7 = l + 2*z, -f*z + 3 = -0*z. Solve 4*a = -0*y - y - 19, l*y - a = 10 for y. 1 Suppose -21*m = -46*m + 1725. Solve -2*d = 4, 0 = m*p - 73*p + 4*d - 4 for p. -3 Let i be (3*10/3)/((-102)/(-36) + -2). Solve i = 4*t, 12 = 4*n - 2*t + 10 for n. 2 Let t(f) = f**3 + 17*f**2 + 29*f + 213. Let b be t(-16). Solve 4*k - 5*i + 15 = 0, -3*i + 15 = -b*k + 6 for k. 0 Let s = -23 + 33. Suppose 5*j = -3*v + s, -4*j + 0 = 2*v - 8. Solve 16 = 5*m - j*c, m + 7*c - 2*c - 14 = 0 for m. 4 Suppose 15*y - 5*y - 30 = 0. Let i be (-1 - -1)/4 - 3 - -5. Solve 4*q + 0*q = -y*o + i, -2 = q + 2*o for q. 2 Let z(m) be the first derivative of m**3/3 + m**2 - 17. Let d be z(-3). Let a be 4 - (d/(6/(-4)) - -1). Solve -2*o = 2*k - 0*k - 4, 0 = -a*o - 3*k + 16 for o. 5 Let h(r) = -3*r**2 + 50*r - 163. Let s be h(12). Solve -4*l - s*t + 8 = 0, -l - 2*t - t = -9 for l. -3 Suppose 12 = -6*y - 12. Let s be y/8*(0 - 1*4). Suppose 9 = 2*n - 6*n - 3*q, 6 = 5*n - s*q. Solve n*b - 5*b + 40 = 5*m, -16 = -5*b + m for b. 4 Suppose 0 = -9*d + 23*d - 112. Solve d*o + 2*f + 14 = 5*o, -4*o - 5*f = 28 for o. -2 Let s = -123 - -256. Suppose -134*c + 2 = -s*c. Solve g - 14 = 3*w, 7*g - c*g - 30 = 5*w for w. -4 Let s(c) = 3*c**3 + 112*c**2 + 37*c + 10. Let d be s(-37). Solve 2*m = 3*v + 11, 0 = 2*v - d + 12 for m. 4 Let y = 5552 - 5542. Solve -3*o + d = 15, -8*o + y = -10*o + 3*d for o. -5 Suppose 142*o - 220 = 64. Solve -8 + 0 = o*c, c = -n for n. 4 Let z be 3 - (46/(-115) - 4/(-10)). Suppose -s + 2*d - 4*d = 0, 0 = 2*s - 5*d. Solve -k + 4*h + 20 + 4 = s, -z*h + 1 = 4*k for k. 4 Let t(i) = -i**3 + 2*i - 3. Suppose -6*a + 7*a - 3*o = 6, 5*o = -5. Let j be t(a). Let f be (-1)/(((-52)/j)/(-13)). Solve f = -c - g, c - 2*g - 14 = 4*c for c. -2 Suppose 0 = -y - 3*g - 18, -2*y + 7*g - 2*g = -19. Let f be 0 + (-4)/12*y. Suppose -16*z - 12*z = 11*z. Solve -3*u - f = s - 6*u, z = -3*u for s. -1 Let y be 346/(-8) - (-10)/40. Let r = 18 + y. Let d = r - -33. Solve 0 = 4*t - d, -5*b - 2*t = -4*t + 19 for b. -3 Let c(h) = -3*h**2 - 109*h - 328. Let f be c(-33). Solve r + f*u + 4 = -3*r, -5*u - 10 = 0 for r. 0 Suppose -49*i + 172 = -6*i + 43*i. Solve -4*u = m - 9, 2*u + i*u = 16 for m. -7 Let s(f) = -3*f**3 + 120*f**2 + 254*f - 82. Let p be s(42). Solve -5*y - 12*a = -11*a - 16, 2*y - 8 = -p*a for y. 3 Let v(d) = -127*d**2 - 133*d + 1. Let z be v(-1). Solve 2*u - 3*m - z = 0, 0 = 77*u - 80*u - m - 6 for u. -1 Let l be ((-86)/(-2) + 0)*(-6 + 7). Let w = -20 + l. Solve 5*m + 21 = -4*v, 2*v = -m - 4*m - w for v. 1 Let a = 40 + -84. Le
{ "pile_set_name": "DM Mathematics" }
409? 12*j**2 - 3*j - 5 What is the g'th term of 14140, 14137, 14124, 14095, 14044, 13965, 13852? -g**3 + g**2 + g + 14139 What is the k'th term of -8, -4, 0, 4, 8? 4*k - 12 What is the t'th term of 14704, 14703, 14702? -t + 14705 What is the c'th term of 16, 33, 50, 67, 84? 17*c - 1 What is the w'th term of -139, -162, -187, -214? -w**2 - 20*w - 118 What is the g'th term of -1, 9, 55, 161, 351, 649? 4*g**3 - 6*g**2 + 1 What is the z'th term of 21, 32, 43? 11*z + 10 What is the d'th term of 231, 235, 239? 4*d + 227 What is the q'th term of 255, 252, 247, 240? -q**2 + 256 What is the p'th term of -1, -13, -29, -49, -73, -101, -133? -2*p**2 - 6*p + 7 What is the q'th term of -78, -141, -204? -63*q - 15 What is the u'th term of 16259, 16258, 16257, 16256? -u + 16260 What is the s'th term of 48, 96, 144, 192? 48*s What is the i'th term of 7, 19, 39, 67, 103? 4*i**2 + 3 What is the x'th term of -29, -35, -41? -6*x - 23 What is the v'th term of 919, 932, 945, 958, 971? 13*v + 906 What is the p'th term of 274, 278, 282, 286, 290, 294? 4*p + 270 What is the m'th term of 33, 137, 311, 555, 869, 1253? 35*m**2 - m - 1 What is the a'th term of -619, -1248, -1877? -629*a + 10 What is the u'th term of 177, 205, 247, 309, 397, 517, 675? u**3 + u**2 + 18*u + 157 What is the l'th term of 1753, 3505, 5257, 7009, 8761? 1752*l + 1 What is the s'th term of -468, -909, -1340, -1755, -2148, -2513? s**3 - s**2 - 445*s - 23 What is the d'th term of 37, 48, 67, 94? 4*d**2 - d + 34 What is the s'th term of -2333, -4670, -7007? -2337*s + 4 What is the s'th term of -62, -124, -186, -248, -310? -62*s What is the m'th term of -57, -97, -149, -219, -313, -437, -597, -799? -m**3 - 33*m - 23 What is the j'th term of -69, -66, -63, -60, -57, -54? 3*j - 72 What is the r'th term of -37, -68, -99, -130, -161, -192? -31*r - 6 What is the d'th term of 244, 274, 326, 406, 520, 674? d**3 + 5*d**2 + 8*d + 230 What is the c'th term of -139, -282, -425, -568? -143*c + 4 What is the b'th term of 1178, 1183, 1190, 1199, 1210, 1223, 1238? b**2 + 2*b + 1175 What is the v'th term of -266, -250, -234, -218, -202? 16*v - 282 What is the r'th term of 221, 227, 233, 239, 245? 6*r + 215 What is the o'th term of -66, -124, -182, -240? -58*o - 8 What is the t'th term of -3, 17, 63, 147, 281, 477? 2*t**3 + t**2 + 3*t - 9 What is the m'th term of 17, -7, -69, -187, -379, -663, -1057? -3*m**3 - m**2 + 21 What is the f'th term of 71, 138, 191, 224, 231? -f**3 - f**2 + 77*f - 4 What is the h'th term of -227, -324, -421, -518? -97*h - 130 What is the v'th term of -17, -40, -63, -86, -109, -132? -23*v + 6 What is the k'th term of 1, -6, -17, -32, -51, -74? -2*k**2 - k + 4 What is the m'th term of -7, -21, -45, -85, -147, -237? -m**3 + m**2 - 10*m + 3 What is the k'th term of -169, -171, -171, -169, -165, -159, -151? k**2 - 5*k - 165 What is the h'th term of 467, 935, 1403, 1871, 2339? 468*h - 1 What is the u'th term of -106, -104, -102, -100, -98? 2*u - 108 What is the g'th term of 61, 220, 477, 826, 1261, 1776, 2365? -g**3 + 55*g**2 + g + 6 What is the y'th term of -23, -30, -37, -44, -51? -7*y - 16 What is the u'th term of -2130, -4246, -6362? -2116*u - 14 What is the f'th term of -168, -251, -320, -369, -392, -383, -336, -245? f**3 + f**2 - 93*f - 77 What is the r'th term of -491, -956, -1421? -465*r - 26 What is the y'th term of 1645, 3290, 4935? 1645*y What is the t'th term of 42, 127, 276, 495, 790? t**3 + 26*t**2 + 15 What is the z'th term of 72, 295, 668, 1191? 75*z**2 - 2*z - 1 What is the g'th term of -1416, -2830, -4244, -5658, -7072? -1414*g - 2 What is the s'th term of -51, -173, -297, -423, -551, -681, -813? -s**2 - 119*s + 69 What is the g'th term of 193, 202, 225, 268, 337, 438, 577, 760? g**3 + g**2 - g + 192 What is the l'th term of 906, 908, 910, 912? 2*l + 904 What is the s'th term of 936, 1867, 2798, 3729? 931*s + 5 What is the o'th term of 51, 250, 583, 1050, 1651, 2386, 3255? 67*o**2 - 2*o - 14 What is the u'th term of -1, -14, -33, -58, -89, -126, -169? -3*u**2 - 4*u + 6 What is the u'th term of -15, -69, -175, -345, -591, -925, -1359? -2*u**3 - 14*u**2 + 2*u - 1 What is the v'th term of -44, -227, -542, -995, -1592, -2339? -v**3 - 60*v**2 + 4*v + 13 What is the x'th term of 967, 1941, 2917, 3895, 4875? x**2 + 971*x - 5 What is the f'th term of -11, 0, 13, 22, 21, 4, -35, -102? -f**3 + 7*f**2 - 3*f - 14 What is the s'th term of 1350, 1354, 1360, 1368, 1378, 1390? s**2 + s + 1348 What is the c'th term of 3114, 6233, 9352, 12471, 15590? 3119*c - 5 What is the y'th term of -103, -84, -39, 44, 177, 372, 641? 2*y**3 + y**2 + 2*y - 108 What is the x'th term of -56, -118, -180, -242? -62*x + 6 What is the f'th term of -42, -38, -32, -24, -14, -2, 12? f**2 + f - 44 What is the y'th term of 8, 41, 94, 167, 260, 373? 10*y**2 + 3*y - 5 What is the k'th term of 54, 207, 462, 819? 51*k**2 + 3 What is the f'th term of -70, -74, -92, -130, -194, -290? -f**3 - f**2 + 6*f - 74 What is the b'th term of -8, -37, -78, -125, -172? b**3 - 12*b**2 + 3 What is the c'th term of -147, -295, -443, -591, -739? -148*c + 1 What is the p'th term of 5074, 5077, 5080, 5083, 5086? 3*p + 5071 What is the n'th term of -11, -66, -121, -176, -231? -55*n + 44 What is the i'th term of -127, -120, -111, -100, -87? i**2 + 4*i - 132 What is the j'th term of 218, 252, 306, 380, 474, 588? 10*j**2 + 4*j + 204 What is the f'th term of -92, -181, -268, -353, -436? f**2 - 92*f - 1 What is the q'th term of 997, 1989, 2981? 992*q + 5 What is the o'th term of 7993, 15988, 23983, 31978? 7995*o - 2 What is the y'th term of -17, -54, -91, -128? -37*y + 20 What is the j'th term of 152, 184, 224, 272, 328? 4*j**2 + 20*j + 128 What is the o'th term of 27060, 27059, 27048, 27021, 26972, 26895, 26784? -o**3 + o**2 + 3*o + 27057 What is the h'th term of -4609, -9225, -13851, -18493, -23157, -27849, -32575? -h**3 + h**2 - 4612*h + 3 What is the w'th term of 15, 44, 99, 186, 311, 480? w**3 + 7*w**2 + w + 6 What is the n'th term of -1545, -3089, -4633, -6177? -1544*n - 1 What is the s'th term of -19, -29, -39, -55, -83, -129, -199, -299? -s**3 + 6*s**2 - 21*s - 3 What is the a'th term of -1250, -1250, -1252, -1256, -1262, -1270? -a**2 + 3*a - 1252 What is the j'th term of 14, 252, 900, 2162, 4242, 7344, 11672, 17430? 34*j**3 + j**2 - 3*j - 18 What is the r'th term of -8, 19, 64, 139, 256, 427, 664, 979? 2*r**3 - 3*r**2 + 22*r - 29 What is the f'th term of -108, -300, -606, -1032, -1584? -f**3 - 51*f**2 - 32*f - 24 What is the u'th term of -202, -205, -200, -181, -142? u**3 - 2*u**2 - 4*u - 197 What is the a'th term of -22, -56, -118, -214, -350, -532? -a**3 - 8*a**2 - 3*a - 10 What is the j'th term of -7, -18, -35, -58, -87, -122, -163? -3*j**2 - 2*j - 2 What is the o'th term of -163, -339, -525, -727, -951, -1203, -1489, -1815? -o**3 + o**2 - 172*o + 9 What is the a'th term of -16, 14, 98, 260, 524, 914, 1454, 2168? 4*a**3 + 3*a**2 - 7*a - 16 What is the o'th term of 91, 110, 117, 106, 71, 6, -95, -238? -o**3 + 26*o + 66 What is the w'th term of -11598, -23195, -34794, -46395? -w**2 - 11594*w - 3 What is the c'th term of 183, 191, 205, 225, 251? 3*c**2 - c + 181 What is the l'th term of 66, 129, 192, 255, 318? 63*l + 3 What is the x'th term of 1066, 1062, 1056, 1048, 1038, 1026? -x**2 - x + 1068 What is the m'th term of -11, -44, -127, -284, -539, -916? -4*m**3 - m**2 - 2*m - 4 What is the y'th term of 9, 29, 85, 195, 377, 649, 1029? 3*y**3 - y + 7 What is the s'th term of 15, 10, 15, 36, 79, 150, 255? s**3 - s**2 - 9*s + 24 What is the x'th term of -171, -694, -1571, -2808, -4411, -6386? -x**3 - 171*x**2 - 3*x + 4 What is the h'th term of -10, -39, -102, -205, -354, -555, -814? -h**3 - 11*h**2 + 11*h - 9 What is the g'th term of 4936, 4935, 4934, 4933, 4932, 4931? -g + 4937 What is the q'th term of 38, -67, -174, -283, -394, -507, -622? -q**2 - 102*q + 141 What is the z'th term of 2, -13, -44, -97, -178, -293, -448? -z**3 - 2*z**2 - 2*z + 7 What is the w'th term of -458, -461, -464, -467, -470? -3*w - 455 What is the f'th term of -2734, -2732, -2730, -2728, -2726, -2724? 2*f - 2736 What is the m'th term of -2214, -2216, -2220, -2226, -2234, -2244, -2256? -m**2 + m - 2214 What is the a'th term of -11, -23, -57, -125, -239? -2*a**3 + a**2 -
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {c: 4, l: 6, e: 9}. Give prob of sequence cl. 4/57 Three letters picked without replacement from ddddrddddddd. Give prob of sequence rdd. 1/12 Four letters picked without replacement from lnglnlnllnlnllnllnll. Give prob of sequence nlnn. 7/323 Four letters picked without replacement from {c: 9}. What is prob of sequence cccc? 1 Two letters picked without replacement from {m: 4, i: 1, u: 2, j: 1, f: 2}. Give prob of sequence uu. 1/45 Three letters picked without replacement from bphphhpbhprhrpzbhr. Give prob of sequence phh. 25/816 What is prob of sequence um when two letters picked without replacement from umuxlmdgxuuxxmluuxdu? 21/380 Calculate prob of sequence bb when two letters picked without replacement from pplmjmjzjjbjzbbbj. 3/68 What is prob of sequence fj when two letters picked without replacement from {l: 1, z: 2, f: 2, j: 1}? 1/15 Four letters picked without replacement from {j: 5, d: 8}. Give prob of sequence ddjd. 14/143 Four letters picked without replacement from wwwww. What is prob of sequence wwww? 1 What is prob of sequence va when two letters picked without replacement from {u: 2, v: 10, j: 4, a: 1}? 5/136 Four letters picked without replacement from {t: 1, i: 1, h: 2, p: 1, s: 2, z: 1}. What is prob of sequence hzti? 1/840 What is prob of sequence ppn when three letters picked without replacement from {p: 3, n: 1}? 1/4 Three letters picked without replacement from {g: 6, p: 2, k: 3, l: 1}. What is prob of sequence lgp? 1/110 Calculate prob of sequence ma when two letters picked without replacement from {a: 9, m: 5}. 45/182 Four letters picked without replacement from yeeyleejil. What is prob of sequence lyyj? 1/1260 Two letters picked without replacement from {z: 2, f: 9}. Give prob of sequence zz. 1/55 What is prob of sequence obbf when four letters picked without replacement from jfbobjjbjoo? 1/440 Three letters picked without replacement from edxdetddtewwrrxdd. Give prob of sequence rtx. 1/510 Calculate prob of sequence uu when two letters picked without replacement from uwwuw. 1/10 What is prob of sequence gwkc when four letters picked without replacement from {r: 1, w: 1, c: 1, k: 6, g: 3}? 1/660 Calculate prob of sequence hg when two letters picked without replacement from szzhygu. 1/42 Two letters picked without replacement from tmmtmmmt. What is prob of sequence tm? 15/56 Calculate prob of sequence qbbu when four letters picked without replacement from {b: 4, f: 1, u: 4, v: 1, a: 2, q: 2}. 4/1001 Two letters picked without replacement from {b: 3, v: 2}. Give prob of sequence bb. 3/10 Four letters picked without replacement from cgdddgcdddgk. Give prob of sequence gkdd. 1/132 Three letters picked without replacement from uuqcpup. Give prob of sequence uqc. 1/70 What is prob of sequence llzl when four letters picked without replacement from {l: 5, e: 1, i: 1, c: 7, z: 2, j: 4}? 1/969 Three letters picked without replacement from vbrkn. What is prob of sequence rnb? 1/60 Four letters picked without replacement from qkaqkkqkqqkqaqqkqq. What is prob of sequence akak? 1/1224 What is prob of sequence bo when two letters picked without replacement from {b: 3, o: 5}? 15/56 What is prob of sequence nlfn when four letters picked without replacement from {h: 1, n: 3, f: 1, l: 5, v: 2}? 1/396 Four letters picked without replacement from bbyby. Give prob of sequence bybb. 1/10 What is prob of sequence vd when two letters picked without replacement from {i: 5, d: 4, v: 5}? 10/91 Four letters picked without replacement from {m: 1, z: 3, w: 1}. Give prob of sequence wzzm. 1/20 Two letters picked without replacement from xfxxcfx. What is prob of sequence xf? 4/21 Four letters picked without replacement from {d: 1, g: 2, q: 3, t: 1}. What is prob of sequence qqtd? 1/140 Calculate prob of sequence cbzd when four letters picked without replacement from {d: 1, b: 3, c: 2, j: 2, t: 2, z: 2}. 1/990 Three letters picked without replacement from {z: 3, p: 2, n: 2, w: 3, l: 1, g: 3}. What is prob of sequence wgw? 3/364 Two letters picked without replacement from {q: 4, v: 3, h: 1, e: 3, n: 1, l: 3}. Give prob of sequence nv. 1/70 Four letters picked without replacement from ovjmojvjojoovzjvoj. Give prob of sequence vzjj. 1/612 Two letters picked without replacement from hgeggeyhglhlleyhghe. Give prob of sequence lh. 5/114 What is prob of sequence aoa when three letters picked without replacement from ouuuuaaeuacoaou? 6/455 Calculate prob of sequence cxw when three letters picked without replacement from {c: 2, a: 2, x: 2, w: 2}. 1/42 Two letters picked without replacement from {k: 2, g: 1, t: 1, i: 1, a: 1, w: 1}. What is prob of sequence gt? 1/42 Two letters picked without replacement from {m: 1, k: 1, z: 1}. Give prob of sequence kz. 1/6 What is prob of sequence rvv when three letters picked without replacement from {c: 1, r: 3, v: 5}? 5/42 Three letters picked without replacement from gbhpphpphghhh. Give prob of sequence ppp. 2/143 Calculate prob of sequence ggg when three letters picked without replacement from ggggggggg. 1 Calculate prob of sequence gy when two letters picked without replacement from {g: 7, y: 6}. 7/26 Four letters picked without replacement from {e: 1, x: 5, f: 4, p: 2, v: 4}. What is prob of sequence fvvv? 1/455 Three letters picked without replacement from kkkkkkkkkkkkikkkkkk. Give prob of sequence ikk. 1/19 Calculate prob of sequence ek when two letters picked without replacement from xieckiiexi. 1/45 Calculate prob of sequence hh when two letters picked without replacement from {s: 5, h: 14}. 91/171 What is prob of sequence ed when two letters picked without replacement from medee? 3/20 Calculate prob of sequence mem when three letters picked without replacement from {e: 4, t: 1, m: 6}. 4/33 Four letters picked without replacement from ehhhhhheehhehehehh. Give prob of sequence eehe. 1/51 Calculate prob of sequence vv when two letters picked without replacement from {c: 6, k: 1, v: 5, e: 3}. 2/21 What is prob of sequence qt when two letters picked without replacement from qqt? 1/3 What is prob of sequence vv when two letters picked without replacement from {v: 16, t: 2}? 40/51 What is prob of sequence fpp when three letters picked without replacement from {p: 2, f: 1}? 1/3 Calculate prob of sequence axez when four letters picked without replacement from zrexzea. 1/210 Calculate prob of sequence uuux when four letters picked without replacement from vuxuxnxxuxu. 1/66 Two letters picked without replacement from {k: 1, u: 1, q: 7}. What is prob of sequence kq? 7/72 Calculate prob of sequence wwpw when four letters picked without replacement from pwwwpwwwwwwwpw. 45/364 Two letters picked without replacement from {z: 1, o: 1, u: 1, x: 1, m: 5, f: 3}. Give prob of sequence zf. 1/44 What is prob of sequence qqb when three letters picked without replacement from qwwqwqb? 1/35 Four letters picked without replacement from wxwwxwwxxx. What is prob of sequence xxww? 5/63 Calculate prob of sequence ms when two letters picked without replacement from usuussmsmmmmuu. 10/91 Three letters picked without replacement from {y: 2, j: 16}. Give prob of sequence yjj. 5/51 What is prob of sequence gg when two letters picked without replacement from {g: 2, q: 1, f: 2, w: 2, d: 8, h: 2}? 1/136 Calculate prob of sequence zs when two letters picked without replacement from hdzns. 1/20 Four letters picked without replacement from tprtppttpppmxpp. Give prob of sequence tprp. 4/585 Three letters picked without replacement from {l: 1, c: 5, r: 5}. What is prob of sequence clr? 5/198 What is prob of sequence mhgv when four letters picked without replacement from {m: 1, t: 1, h: 1, g: 1, v: 1}? 1/120 Three letters picked without replacement from kbkkbbrybbbbkkbkk. Give prob of sequence rkk. 7/680 Two letters picked without replacement from {o: 2, n: 2, j: 8}. Give prob of sequence nj. 4/33 Two letters picked without replacement from {y: 2, o: 1}. Give prob of sequence yy. 1/3 Calculate prob of sequence sax when three letters picked without replacement from sasxhsxhhaahsaahxhx. 40/2907 Two letters picked without replacement from ujgujc. What is prob of sequence cj? 1/15 Three letters picked without replacem
{ "pile_set_name": "DM Mathematics" }
4/(3/(-3)))/((-2)/m)? False Suppose -4*b - m + 4259 = 0, 0 = 15*b - 10*b - 5*m - 5330. Let s = b + -493. Is s a multiple of 69? False Let m be 6/(-4 - -1)*8. Let z be -2*81*8/m. Suppose -5*j - 5*q + 89 + z = 0, -3*j + 4*q = -95. Does 33 divide j? True Is (-69453)/(-36) + (14/35)/(16/(-10)) a multiple of 2? False Suppose -80*c + 206*c - 1498770 = 0. Is 33 a factor of c? False Let j be (280 - (-2)/1)*1. Let b be (-11)/(6/(-8) - j/(-408)). Let k = b + -30. Does 15 divide k? False Let k(o) = 2*o + 6. Let s be k(2). Let w be (0 - (0 - 0) - -1)*s. Suppose w*i = 2*i + 1344. Is i a multiple of 24? True Suppose 0 = 2*m + 2*m - 16. Suppose 0 = -m*w - w. Is 2 + (-366)/(-3) - (w + 0) a multiple of 7? False Let d(m) = 553*m + 284. Is 14 a factor of d(15)? False Let d be (-14)/33*-9 + 14/77. Suppose o - 286 = -b + 298, d*o - 1751 = -3*b. Is 15 a factor of b? True Let m = 109 + -107. Suppose -m*i - 17*y + 1173 = -20*y, y = -5*i + 2907. Is i a multiple of 4? False Suppose 78*f + 50*f = 356096. Is 21 a factor of f? False Suppose -2*o - 6 - 4 = -k, 4*o - k = -22. Is 20 a factor of (2 - -34) + -6*4/o? True Let f = 1356 - 639. Suppose -4*j + 892 = 2*i, -4*j - 5*i + 169 + f = 0. Is 32 a factor of j? True Suppose 183*c - 2113797 = 1836373 - 338116. Is c a multiple of 71? True Let t(o) be the second derivative of -o**4/6 - 12*o**3 + 26*o**2 + 115*o. Is 18 a factor of t(-25)? False Suppose 148*y - 43297 = 204383 + 854328. Is 34 a factor of y? True Suppose -5*f = -i - 4664 - 8048, i + 2544 = f. Suppose 12006 - f = 14*z. Is 13 a factor of z? True Let i(h) = -27*h**2 + h - 1. Let d be i(1). Let q = 14 - -7. Is d/6*2/3 + q a multiple of 9? True Let j(n) = 221*n - 35. Let m(p) = -147*p + 22. Let v(r) = -5*j(r) - 7*m(r). Is 46 a factor of v(-3)? False Suppose 2160*k - 5*p - 1870 = 2159*k, 3*k = 3*p + 5610. Is k a multiple of 11? True Let h = 16 + -18. Let t be (-4 - 1)*((-70)/(-50) + h). Let g(x) = 4*x**3 - 3*x**2 - 3*x + 13. Does 17 divide g(t)? True Let t(p) = -5*p**3 + p**2 + 7*p + 12. Let o(v) = 5*v - 42. Let z be o(8). Does 14 divide t(z)? True Suppose -46*x + 42*x = 760. Is (96/(-160))/(6/x) a multiple of 9? False Let i(r) = 6*r**3 - 4*r**2 + 13*r - 48. Is i(3) a multiple of 6? False Is 21 a factor of 1908 + (1 - (9/(-3) - -6))? False Suppose -6*n + 18902 + 6688 = 0. Is 5 a factor of n? True Let t be 3 + 35/(-15 - -8). Let m(b) = -9*b**3 - 4*b**2 - 6*b - 9. Is m(t) even? False Suppose -107*t + 49*t = -42*t - 265632. Is t a multiple of 18? False Suppose -2*h + 3*p + 274 - 168 = 0, 4*h + 3*p = 194. Suppose 0*o + 3*o = -45. Let u = o + h. Is 7 a factor of u? True Let p(v) = 21*v - 69. Let z be p(-9). Let t = -207 - z. Does 4 divide t? False Suppose -20 = -q - 4*q. Suppose 2*t = q*i - 54, -3*t - 42 = -21*i + 18*i. Is i a multiple of 2? False Let d(x) = 11*x + 37 + 43 - 77. Is d(1) even? True Let s = 7265 - 3381. Is 15 a factor of s? False Suppose 4*u - 3*c + 32 = c, 3*c - 2 = u. Let l = 11 + u. Suppose -v - 4*v = -2*m - 640, 3*v - 4*m - 370 = l. Does 29 divide v? False Suppose -28*p = -256468 - 123184. Does 69 divide p? False Let t(y) be the third derivative of y**6/120 - y**5/12 + 4*y**3/3 - 16*y**2. Let p be t(7). Does 14 divide 3 + p - 2/((-6)/9)? True Suppose -r = -4*a - 1708, -13*a + 9*a = -4*r + 6856. Is 13 a factor of r? True Let t(o) = 11*o - 33. Let h be 2/(-4) - -1 - (-460)/40. Let a be t(h). Suppose 0 = 5*s - 2*s - a. Does 7 divide s? False Let m be 53/(-4*(-4)/16). Let y = -47 + m. Suppose -d + y = 3, -5*i - d = -48. Is i a multiple of 9? True Suppose 2*y - y = -4*f + 6, -2*y - 5*f + 24 = 0. Suppose -27*s = -y*s - 3*o - 503, -o = 1. Is s a multiple of 10? True Suppose -201477 = -185*h + 144843. Is h a multiple of 24? True Does 9 divide (-2)/16 + (-8929)/(-48)*6? True Let y(o) = -5*o**3 - 4*o**2 - 6*o - 8. Let t(h) = 6*h**3 + 3*h**2 + 7*h + 7. Let d(i) = -6*t(i) - 7*y(i). Is d(7) a multiple of 23? True Let v = 279 - 421. Let t = v + 28. Let d = t + 122. Is 2 a factor of d? True Let d(f) = 8*f**2 - 11*f - 192 - 2*f**3 + 214 - 16*f**2. Is 8 a factor of d(-5)? False Let d(o) = 2*o**3 - 9*o**2 + 5*o. Let a be d(7). Let f = a - 164. Is (-29)/f + 357/4 + 1 a multiple of 7? False Suppose -4*x = -s + 536, -x - x = -3*s + 1598. Does 5 divide s? False Suppose -2*w - 10 = -3*w. Suppose -3*i = w - 25. Is i a multiple of 3? False Suppose 0 = 7*l - 3*l + 48. Let z be (l/15 + (-26)/(-20))*2. Is 3 a factor of 6/(8/((-4)/z) - -4)? True Let f be (-2)/(4 - (-27)/(-6)). Let r be (12/(-4)*-2)/(f/350). Suppose -45*t = -42*t - r. Is t a multiple of 25? True Let o(y) = -3*y**3 - 2*y**2 - 3*y + 4. Let z be o(1). Let i(w) = -w**3 - 3*w**2 + 2*w + 3. Let p be i(z). Is 5 a factor of (p/3 - -2)*3? False Is ((-201)/(-9))/((-95)/(-75240)) a multiple of 12? True Suppose 0 = 2*m + 176*f - 180*f - 33250, -3*m - 4*f + 49875 = 0. Is m a multiple of 95? True Let d(r) = -r**3 - 4*r**2 + 2*r - 14. Let b be d(-5). Let v be (b - (-26)/(-6))*(-3)/2. Suppose v*i - 155 = -f, 4*f = 2*f - 2*i + 270. Is f a multiple of 26? True Let i(w) = 81*w**2 + 78*w + 1432. Does 28 divide i(-22)? True Let m = -1064 + 692. Let g = m - -572. Does 11 divide g? False Is (3 - (-174)/(-18))*(-234)/4 a multiple of 10? True Let c be (40 - 0)*-3*(-64)/(-60). Let k = c - -157. Suppose w - 148 = -k. Is w a multiple of 12? False Let q(n) = -n**2 + 12*n - 12. Let c be q(8). Suppose -c = 4*w - 8*w. Is 22 a factor of (0 - (-4)/(-5)) + 334/w? True Is ((-798)/(-280)*4)/((-2)/(-130)) a multiple of 8? False Let h(u) = -u**2 + 5*u + 4. Let c be h(5). Let f be 0/1 + 1 + 1. Suppose -f*o + 5*x = -220, -x - 592 + 116 = -c*o. Is o a multiple of 20? True Suppose 3*w - w + 1 = l, -3*l + 5 = -5*w. Suppose 3*g = -4*n + 32, -33 = 89*n - 94*n - 2*g. Suppose -2*u = -2*v - 20, -w*u + n*v = v - 10. Is u a multiple of 2? False Let i = -8 + 10. Let q = 24 + i. Suppose 3*r - q = r. Is 12 a factor of r? False Let m(r) = 109*r**2 + 8*r + 15. Let v be m(-2). Suppose -2*u + 5 = -7. Suppose v = u*x - 3*x. Is 36 a factor of x? False Let v be 4950/(-77) + 2/7. Let k = -13 + 1. Let a = k - v. Does 26 divide a? True Suppose -74345 = -s + 10*s - 317012. Is 67 a factor of s? False Does 93 divide -126*(186/8)/((-15)/70)? True Suppose 7*v + 22 = -20. Let i be v/3 + 9/(-2)*-50. Suppose -i = -2*k + 5*c, 2*c - 5 = -3. Does 19 divide k? True Suppose 0 = -2*v + 2*j + 4, 0*v - 4*j - 8 = 2*v. Suppose v = 11*u + 7*u - 4536. Is 63 a factor of u? True Let w(x) = -2018*x + 14894. Is w(-8) a multiple of 21? True Let x = -164 - -169. Suppose x*v = -2*b + 220, 3*b = 4*v - 2*v + 292. Is b a multiple of 12? False Let z be 3135/(-11) + (3 - 1). Let s = z + 484. Is s a multiple of 4? False Let c = 11904 + 1462. Does 15 divide c? False Suppose 13*y - 2*r = 12*y + 2510, -2*y + 5025 = -3*r. Does 70 divide y? True Let k = 47252 - 30664. Does 79 divide k? False Suppose 149*q = 68*q - 114*q + 3380910. Is q a multiple of 14? False Suppose 0 = -i + 5*y + 18360, -5*i + 66*y = 67*y - 91878. Is 27 a factor of i? False Let c = -5004 - -8480. Is 11 a factor of c? True Suppose -16*g + 932 = -1148. Suppose 5*u - 3*f = 673, u = -3*f - f + g. Does 21 divide u? False Suppose 0 = -3*i + 2*m + 5332, -20*i - 3*m + 1803 = -19*i. Is i a multiple of 11? True Suppose -289900 = 43972*a - 44022*a. Is 9 a factor of a? False Let q be (4/9)/((-4)/(-18)). Let o(c) = 5*c**q + 6 + 8 + 139*c - 135*c - 3. Is 25 a factor of o(-4)? True Let o = -6207 - -9678. Is o a multiple of 3? True Suppose -2*x + 55 = -4*g - 9, 0 = -x - 3*g + 52. Suppose 3*n + 15*b = 10*b + 120, -b - x = -n. Is 5 a factor of n? True Let i(n) = 51*n + 13. Let s(g) = 51*g + 12. Let v(z) = 2*i(z) - 3*s(z). Let p be v(-14). Suppose -j - 5*b + 196 = 0, -4*j - 5*b + b = -p. Does 19 divide j? True Let i = 33 - 31. Let s(d) = -d**3 + 2 + 3*d**i + 7*d**2 + 3 + 11*d - 2*d**2. Does 9 divide s(9)? False Suppose -237*r + 1142640 = -30*r - 23*r. Does 10 divide r? True Suppose 5*q - 82708 = -4*a, 5*a + 95*q = 92*q + 103398. Is a a multiple of 18? True Let c(z) = 9991*z - 71. Is c(1) a multiple of 124? True Let z(i) = -i**3 + 9*i**2 - 3*i + 4. Suppose -4 = -3*y + 5. Let x be -1 + 8 - (6 - y). Is 36 a factor of z(x)? True Suppose 2*j + 55 - 71 = 0, -2*u = 4*j - 33082. Is u a multiple of 25? True Let o = 6437 + -3916. Is o a multiple of 5? False Let p be 107 - 103
{ "pile_set_name": "DM Mathematics" }
/24 + 5*z**2 + 290*z. Let g(l) = -20*l**2 - 6*l. Give 25*g(v) + 6*w(v). -20*v**2 Let b(c) = 16*c**2 - 11. Let f = 286 - 283. Let s(g) = -7*g**2 + 4*g**2 + f - 1 + 0. Calculate -4*b(o) - 22*s(o). 2*o**2 Let n(w) = -6*w**3 + 136*w**2 + 8280. Let h(i) = -i**3 + 24*i**2 + 1380. Give 34*h(p) - 6*n(p). 2*p**3 - 2760 Let c(v) = 8*v**2 + 6*v - 3. Let a(k) be the first derivative of -k**3/3 - k**2/2 + k + 4036. Calculate -6*a(u) - c(u). -2*u**2 - 3 Let u(g) = g**3 - 6*g**2 - 107. Let h(d) = d**3 - 7*d**2 - 104. Determine 6*h(k) - 7*u(k). -k**3 + 125 Let t(c) = 25*c**3 + 21*c**2 - 108*c + 14. Let g(p) = 17*p**3 + 13*p**2 - 71*p + 10. Give 7*g(r) - 5*t(r). -6*r**3 - 14*r**2 + 43*r Let g = 148 - 153. Let b(j) = -3*j**3 + j**2 + 3*j. Let z(p) = 2*p + p**3 - 21*p + 18*p. Give g*z(i) - 2*b(i). i**3 - 2*i**2 - i Let l(g) = -6*g**2 - 4*g + 1. Let f(p) = -379*p**2 + 11*p - 3. Let k(v) = 142*v**2 - 4*v + 1. Let c(u) = 3*f(u) + 8*k(u). Give -3*c(w) - l(w). 9*w**2 + w + 2 Let a(l) = -7*l**2 + 3*l + 4. Let p(o) = 10 + 6*o - 7*o + 0*o. Let t be p(8). Let z(s) = 34*s**2 - 16*s**t - 19*s**2 + 1. Give -a(n) + 5*z(n). 2*n**2 - 3*n + 1 Suppose 4*q = 13 + 15. Suppose q*f - c = 2*f + 10, -2*f - 3 = c. Let g(r) = -31 - 22 + 15 + 37 + 9*r. Let p(a) = a. Determine f*g(t) - 6*p(t). 3*t - 1 Let v = 18 + -12. Let o(w) = -5 + 2 + 7*w**2 + 201457*w - 201451*w. Let y(k) = -k**2 - k + 1. Give v*y(q) + o(q). q**2 + 3 Let q(f) = -f - 15. Let j(m) = -317*m - 62. Give j(b) - 4*q(b). -313*b - 2 Let j(n) = 28*n + 67. Let f(h) = 3*h + 13. Let d(o) = 5*f(o) - j(o). Let t(c) = 25*c + 4. Give 7*d(y) + 3*t(y). -16*y - 2 Let r = 88 + -85. Suppose 0 = 5*o + 2*k - 21, 6*o - r*o + 3*k = 9. Let v(t) = -7*t - 11. Let n(z) = 0 - 2 - 3*z - 3. What is o*n(m) - 2*v(m)? -m - 3 Let q(w) = 52*w**2 - 18*w - 12. Let f(c) = -c**2 - 2*c - 2. Determine -6*f(r) + q(r). 58*r**2 - 6*r Let f(c) = 3*c + 2. Let a(o) = -4*o - 3. Let y be (-7 - 681)/8 - (-3 - -1). Let n = -82 - y. Give n*a(s) + 3*f(s). s Let z(b) = b**2. Let y(j) = -9*j**3 + 6*j**2. Suppose 2*f = -61 + 1095. Suppose -f + 527 = 10*k. Give k*y(i) - 6*z(i). -9*i**3 Let u(j) = -21*j**2 - 6*j + 49. Let i(c) = -40*c**2 - 14*c + 97. What is -3*i(y) + 7*u(y)? -27*y**2 + 52 Let m(d) be the third derivative of d**5/12 + 2*d**3 - 270*d**2. Let q(r) = -3*r**2 - 6. Give -2*m(u) - 5*q(u). 5*u**2 + 6 Let h(k) = -k. Let w(d) = -2*d + 1. Let t(y) = h(y) - w(y). Suppose -3*u + 120 = 2*u, -2*n - 68 - 62 = -6*u. Let m(v) = 2*v + 0 - 3*v + 1. Give n*m(r) + 6*t(r). -r + 1 Suppose 5*i - 17 = k, 4*k - 4 = -5*i + 28. Let v(u) = -2*u**2 + 2*u + 4. Let n(m) = m**3 + 2*m**2 - m - 3. What is i*n(a) + 3*v(a)? 4*a**3 + 2*a**2 + 2*a Let s(h) = 2*h + 1. Let g(p) be the second derivative of -56*p + p**2 + 1/3*p**3 + 0. Calculate -3*g(q) + 2*s(q). -2*q - 4 Let p(f) = f**3. Let o = -25 - -51. Let w(b) = 5*b**3. Let v be (-62)/4*(5 - (-4 + 11)). Let d = -37 + v. What is d*w(t) + o*p(t)? -4*t**3 Let r(l) = 88*l + 21. Let f(m) = -376*m - 83. Determine 2*f(w) + 9*r(w). 40*w + 23 Let b(n) = -5*n - 1. Let d(j) = 6*j + 2. Let z = 6353 - 6357. Give z*d(g) - 5*b(g). g - 3 Let u(v) = -11*v + 9196. Let r(n) = 2*n - 1534. Calculate -23*r(t) - 4*u(t). -2*t - 1502 Let b(h) = -13*h - 1. Let d(s) be the first derivative of -6*s**2 - 2*s + 3743. Determine 3*b(v) - 4*d(v). 9*v + 5 Let g(r) = -32*r - 14. Let q(j) = -11*j - 5. Let o(a) = a**2 + 19*a + 67. Let c be 1104/(-460)*1*5. Let p be o(c). Determine p*q(z) + 6*g(z). -5*z + 1 Let f(d) = 7*d**2 - 4*d - 594. Let n(m) = -15*m**2 + 9*m + 1188. What is 9*f(y) + 4*n(y)? 3*y**2 - 594 Let b be (9280/696)/(5/72). Let n(o) = 43*o**2 + 5*o - 5. Let s(q) = 1656*q**2 + 192*q - 192. Give b*n(f) - 5*s(f). -24*f**2 Suppose 87 - 123 = 4*h. Let g(d) = d**2 - 3*d + 2. Let b(m) = -5*m**2 + 11*m - 9. Let u be (12/9)/(132/18 + -8). What is h*g(q) + u*b(q)? q**2 + 5*q Let r = 6324 + -6313. Let c(o) = -2*o + 4. Let q(d) = d - 2. Let t = 38 + -32. Give r*q(j) + t*c(j). -j + 2 Let j(z) = -8*z + 66. Let i(c) = -c**2 + 17*c - 143. Determine 6*i(x) + 13*j(x). -6*x**2 - 2*x Let l(t) = 39*t**3 + 2*t**2 + 11*t - 18. Let i(m) = -78*m**3 - 4*m**2 - 20*m + 32. Determine 6*i(q) + 11*l(q). -39*q**3 - 2*q**2 + q - 6 Let n(p) = 25*p**3 - 14*p**2 + 2*p. Let u(q) = -23*q**3 + 13*q**2 - 3*q. Determine 3*n(d) + 2*u(d). 29*d**3 - 16*d**2 Let k(b) = 47*b**3 - 82*b**2 + 10. Let u(i) = 70*i**3 - 123*i**2 + 14. What is -7*k(w) + 5*u(w)? 21*w**3 - 41*w**2 Suppose 0 = 2*g - 2*a - 6, -20*g - 4*a = -16*g + 4. Let b(c) = c**3 - c**2 + c - 1. Let x(t) = -4*t**3 + 7*t**2 - 6*t - 4. What is g*x(z) + 6*b(z)? 2*z**3 + z**2 - 10 Let y(g) = 20*g + 602. Let c(q) = 24*q + 605. Calculate -4*c(v) + 5*y(v). 4*v + 590 Let u(i) = 2*i**2 - i + 4. Suppose 11*g + 6*g - 1020 = 0. Let q(c) = 2*c**2 - 126 - 3*c + 2*c + 69 + g. Give -4*q(j) + 3*u(j). -2*j**2 + j Let p(m) = 12*m**2 - 4*m - 3*m**3 - 6*m**2 - 7*m**2 + 4*m**3 - 4. Suppose 3*f + 1 + 11 = 0. Let d(s) = -4*s**3 + 3*s**2 + 11*s + 11. Determine f*d(b) - 11*p(b). 5*b**3 - b**2 Let j(r) = -r**3 - r**2 + r - 1. Let d(z) = -z**2 + z - 4. Let m be (-64)/(-416) - (-3*(-84)/(-52) - -3). Determine m*j(q) - d(q). -2*q**3 - q**2 + q + 2 Let s(q) = -q**3 - q**2 - q - 1. Let k = -4745 + 4744. Let o(f) = 3*f**3 + f**2 + 4. What is k*o(p) - 2*s(p)? -p**3 + p**2 + 2*p - 2 Let d(j) = -5951*j**2 - 1 - 5950*j**2 + 11902*j**2 + j - 2*j. Let a(t) = t**2 - 7*t - 7. Determine -4*a(x) + 28*d(x). 24*x**2 Let x(v) = -2*v**3 + 8*v**2 - 13*v - 13. Let z(r) = r**3 - 2*r**2 + 6*r + 7. Give 2*x(c) + 5*z(c). c**3 + 6*c**2 + 4*c + 9 Let n(g) = 2*g + 5. Let f(x) = -x + 23 - 76 + 16 + 16 + 20. What is 3*f(d) + n(d)? -d + 2 Let c(m) = 8*m**2 - 6*m + 9. Let y(s) be the first derivative of 17*s**3/3 - 13*s**2/2 + 17*s + 4563. Calculate 13*c(g) - 6*y(g). 2*g**2 + 15 Let o(s) = 50*s - 296. Let j be o(6). Let v(h) = 4*h. Let m(z) be the third derivative of -z**4/12 - 20*z**2. Calculate j*v(b) + 9*m(b). -2*b Let k(m) be the third derivative of 2*m**4/3 + 7*m**3/3 + 2*m**2. Let t(h) be the first derivative of -h**2/2 - h + 3156. Calculate -4*k(p) - 56*t(p). -8*p Let c(j) = 1. Let m(s) = -5*s - 10. Let g be 8/108*3 - (-12)/(-54). Suppose -11*i + 0 - 110 = g. Calculate i*c(t) - m(t). 5*t Let f(w) = 2*w - 3. Let y be f(2). Let j(l) = 2727 - 8177 + 2727 + 2724. Let g(i) = -5*i + 6. Determine y*g(x) - 6*j(x). -5*x Let l(d) = -49250*d**2 - 28*d - 4. Let c(j) = -32832*j**2 - 20*j - 3. What is 7*c(b) - 5*l(b)? 16426*b**2 - 1 Let i(p) be the second derivative of -3*p**3/2 - p**2 + 52*p + 2. Let y(u) = u**2 - 19*u - 5. What is 5*i(j) - 2*y(j)? -2*j**2 - 7*j Suppose -6*y - 60 = -24. Let o(a) = -a. Let m(h) = 20*h + 1. What is y*o(c) - m(c)? -14*c - 1 Let i(c) = 10*c + 1. Let g(k) be the third derivative of 5*k**4/6 + k**3/3 + k**2 - 63*k. What is 3*g(t) - 5*i(t)? 10*t + 1 Let y(k) = 425*k + 6. Let r(w) = 158946*w + 2245. Calculate -6*r(d) + 2245*y(d). 449*d Let w(p) = -194*p + 62*p + 3 + 129*p. Let k(o) = o**2 + 5*o - 5. Determine 3*k(l) + 5*w(l). 3*l**2 Let w(z) = 2052. Let l(b) = -137. Let c(o) = 15*l(o) + w(o). Let d(g) = -2*g**3 + 3*g**2 - 2*g + 3. Let h be d(2). Let a(n) = n + 5. Determine h*c(t) - 2*a(t). -2*t + 5 Let a(b) = 2*b**2 - b. Let p(s) = 20370*s**2 - 10670*s. Calculate 21340*a(k) - 2*p(k). 1940*k**2 Let p(m) = 4*m**3 - 7*m**2. Let f(h) = 5*h**3 - 8*h**2 + h. Suppose 14*n - 25 - 59 = 0. Suppose 68*o - n = 70*o. What is o*p(q) + 2*f(q)? -2*q**3 + 5*q**2 + 2*q Let y = 3 - 1. Let u(b) = 4*b + 1. Let p(s) be the second derivative of 3*s**3/2 + 3*s**2/2 - 1242*s. Calculate y*p(a) - 5*u(a). -2*a + 1 Let l(m) = 11552*m**2 - 54*m + 9. Let n(w) = -779760*w**2 + 3648*w - 608. Calculate -608*l(f) - 9*n(f). -5776*f**2 Let g(q) = 31*q - 122. Let o(v) = -10*v + 45. Give -3*g(h) - 8*o(h). -13*h + 6 Let f(n) = 3*n + 3. Let w = 2 - 7. Let i(t) = -2*t - 2. Suppose 55 = v - 4*q + 21, -v + 46 = 2*q. Suppose v = 3*r - 17*r. Give r*f(h) + w*i(h). h + 1 Let l(k) = -3*k**2 - 30*k - 2. Let i(c) = -2*c**2 - 15*c - 1. Let u = 1615 - 1612. Determine u*l(h) - 5*i(h). h**2 - 15*h - 1 Let d(w) = -1096*w**3 - 24*w - 81. Let s(v) = -2191*v**3 - 52*v - 161. Let f(k) = -13*d(k) + 6*s(k). Let o(y) = 63*y**3 + 5. Determine -5*f(z) + 87*o(z). -29*z**3 Let h(n) = -120*n - 2. Let f(z) = -3*z + 1. Calculate -4*f(y) - h(y). 132*y - 2 Let x(
{ "pile_set_name": "DM Mathematics" }
+ 18*s**4 to the form h*s + k*s**4 + p + j*s**2 + b*s**3 and give k. -5 Rearrange (-2*g + g + 3*g)*(-2*g**2 + 5*g**2 - g**2 + (-3*g - g - 2*g)*(3*g - 2*g - 3*g)) to q*g**2 + h*g**3 + r + p*g and give h. 28 Rearrange -6 + 3 + 50*s**2 + 3 to d*s**2 + v*s + h and give d. 50 Rearrange -f**4 + 4*f**4 - f + 0*f**4 - 1 + 2*f + f**3 to the form t*f**3 + w*f + n + u*f**4 + j*f**2 and give t. 1 Express -8 - 3*l**2 - 9*l + 5 + 9*l as h*l**2 + w*l + z and give z. -3 Rearrange -13*g**2 - 15*g**2 - 7*g**2 to the form k*g**2 + n + h*g and give k. -35 Express 8*s**4 - 8*s**4 - 4*s**3 - s**4 + 1 - s**3 - 2*s**2 in the form c*s**2 + p*s**4 + w*s + o*s**3 + g and give o. -5 Rearrange -2*o - 316*o**2 + 316*o**2 - 13*o**3 to k*o**3 + t*o + l + r*o**2 and give k. -13 Rearrange -3 + 3 - 22*p - 5*p to the form n + m*p and give m. -27 Express 0*t**2 - t**2 - t**2 + (-t + 5 - 5)*(25 + 4*t - 25) + 3*t - 3*t + 2*t**2 + (0*t + 4*t - 5*t)*(0*t - t + 0*t) as s*t + u + i*t**2 and give i. -3 Rearrange 14*c**3 + 2*c**3 - 9*c**3 + (2*c + c - 4*c)*(1 + c**2 - 1) - c**3 + 5*c**3 - 2*c**3 to m*c**3 + k*c + v + x*c**2 and give m. 8 Express (0*w + 3*w - 2*w)*(w**2 - w**2 + 2*w**2) + 7 + 7*w**3 - 5*w**3 + 3*w - 6 as o*w + t*w**2 + q + r*w**3 and give o. 3 Express (2*t - 2*t + 2*t**2)*(t - 2*t + 3*t)*(12 - 12 - 21*t) in the form q*t**4 + y*t**3 + p*t + w*t**2 + f and give f. 0 Express -11*u**2 - 2*u**3 + 4*u**3 + 36*u**2 + u as q*u**3 + r*u + k*u**2 + i and give q. 2 Express (6 + 0 - 2)*(-2*j + 0*j + 0*j)*(-j**2 - 4 + 4) in the form g + d*j**2 + r*j + o*j**3 and give o. 8 Rearrange 2*z**4 + 0*z**2 + 4*z**2 - 2*z**3 + 10*z**2 - 9*z**2 to the form j*z**2 + n + x*z**3 + f*z + u*z**4 and give u. 2 Express -8 + 5 + 3 - 6*b as u + f*b and give f. -6 Express -2*k + 25*k**3 + k**2 - 9*k**4 + 21*k**4 - 14*k**4 as u*k**3 + b + w*k**2 + a*k**4 + t*k and give u. 25 Rearrange (-1 + 4 - 4)*(i**2 - 2*i**2 + 0*i**2)*(-3 - 3 - 5) to h*i**2 + a + q*i and give h. -11 Express -u**4 - 10*u**4 + 5*u**4 - u**2 + 2 as h*u**2 + f*u + y*u**4 + s*u**3 + p and give y. -6 Rearrange (0*v + v + 2*v)*(6 + 0 - 3) to s + c*v and give c. 9 Rearrange -37 + q**2 + 40 + 2*q**3 + 0*q**2 to h + y*q**2 + d*q**3 + i*q and give d. 2 Rearrange 546 + 546 + 188*w - 1092 to b + q*w and give q. 188 Express (-m + 6*m - m)*(-1 + 2 - 2) + (1 - 3 + 4)*(2*m + 2*m - m) as r*m + g and give r. 2 Rearrange (3 - 3 - 2)*(-11*y**2 - 7*y**2 + 8*y**2 + (-2*y**2 + 3*y**2 + y**2)*(-2 - 1 + 7)) to j + r*y + x*y**2 and give x. 4 Rearrange 14 + 8 - 22 + 23*k to the form d*k + r and give d. 23 Rearrange (-4*m**2 + 8*m**3 + 4*m**2)*(-1 - 4 + 6) to t*m + q*m**3 + v*m**2 + y and give v. 0 Rearrange 3*i**2 + 1 - 20*i - 9*i**2 + 0 + 7*i**2 to z*i**2 + p*i + h and give z. 1 Rearrange -5*p**2 - 2*p**3 - 14339*p + 14339*p + 1 to the form x*p + s*p**3 + k + i*p**2 and give s. -2 Rearrange (2*h - 1 + 1)*(-5*h + 0*h + h) + 7 - 7 + h**2 to w*h + b + p*h**2 and give p. -7 Rearrange ((-3*s - 4*s + 6*s)*(-4 + 3 + 3) + s + 0*s - 3*s)*(0 - 1 + 2) to y + w*s and give w. -4 Rearrange (1 - 1 - 2*j)*(-4*j**3 + 3*j**3 - 4*j**3 - 3*j) to g*j**3 + f*j + n*j**2 + z*j**4 + o and give n. 6 Rearrange 7*d**2 - 29 + 29 to the form a + f*d**2 + j*d and give f. 7 Express -4*j + 12*j - 3*j**4 - 10*j - j**3 - 2 - 1 in the form v*j**4 + q*j + i*j**2 + n + b*j**3 and give b. -1 Rearrange 3 - 6*x + 2 - 7 + (-2*x - x + x)*(2 - 2 + 1) - x - 3 + 3 - 1 + 1 - 3*x to the form i + l*x and give i. -2 Express -3 - 3*y - 2*y**2 + 3 + (-20*y - 23*y - 16*y)*(5 - 5 + y) as m + g*y**2 + h*y and give g. -61 Express 0 + 2 - 1 + h + 2 as k*h + x and give x. 3 Express (3 - 3 + 4*v)*(0 - 2*v + 0 + (0 + 0 + 2*v)*(1 + 0 + 1) + 1 + 5*v - 1) as j*v**2 + y*v + r and give j. 28 Express 4*n**2 + 2*n**2 + n**3 - 35 - n + 3*n - 7*n**2 in the form j*n**2 + s*n + q + z*n**3 and give s. 2 Express (-155*t + 27*t - 2 + 1)*(0*t - 3*t + t)*(4*t - t - t) in the form y*t + g*t**3 + c*t**2 + j and give g. 512 Express (c + 3*c - 3*c)*(0 + 4 - 3) + (3 + 0 - 1)*(-11*c + 2*c + 2*c) as n + s*c and give s. -13 Express (0 + 1 - 2)*(22*m - 31*m + 7*m**2 + 10*m) as t*m + p*m**2 + c and give t. -1 Rearrange ((-h + 5*h - 2*h)*(1 + 3 - 8) - h + 3 - 3)*(-4 - 3 + 6)*(2 - 2 + 2*h) to m + i*h + b*h**2 and give b. 18 Express y + 2*y - 7*y + y as f + q*y and give q. -3 Express 19 + 4*v - 2*v**2 + 12 - 28 as w*v + o*v**2 + f and give o. -2 Express (-2 + 1 + 4)*(-245*h**2 - 9*h + 245*h**2 + 2*h**3) in the form r*h**3 + w*h + c*h**2 + l and give w. -27 Express (-5*h + 3*h + 4*h)*(3 + 4 - 2*h + 3) in the form x + d*h + g*h**2 and give d. 20 Express 2*o**4 - 24*o**2 - 11*o - 2*o**3 + 24*o**2 + (2 - o - 2)*(o**3 - 4 + 4) in the form r*o + y*o**2 + m + h*o**3 + i*o**4 and give r. -11 Express -10*h - 23*h - h + 3*h in the form x + w*h and give w. -31 Express -7*i**2 + 2*i**3 - i**2 + i**3 + 14*i**2 in the form y*i**2 + z*i**3 + q + s*i and give z. 3 Express (-4*n - 2*n - n)*((0 + 0 - 2*n)*(-4 + 1 + 2) + n - 2*n + 3*n) + (2*n**2 - 4*n**2 + n**2)*(1 - 1 - 2) as w + g*n**2 + k*n and give g. -26 Express (-u**3 + u**2 - u**2)*(24 + 2 + 12) as a*u + m*u**3 + w*u**2 + n and give m. -38 Rearrange -1 + 1 - p**3 + (0*p + p + p)*(4*p**2 - 3*p**2 - 3*p**2) + p**3 + 0*p**3 - 6*p**3 to j*p**3 + i*p**2 + l*p + w and give j. -10 Express (1 - 2 + 3)*(4 - 2 + 0)*(2*q + 3*q**2 - 2*q + (-4*q + 5*q + q)*(2 - q - 2)) in the form l*q**2 + d*q + u and give l. 4 Express (5 + 8 + 1)*((3 + s - 3)*(-5 - 2 + 4) - 4 - 2*s + 4) as y + j*s and give j. -70 Rearrange 15 - 14 - 9*z - 4*z + 2*z to x + v*z and give v. -11 Express -2 + 0*b**2 + 2*b**3 - 3*b**3 + 2*b**2 + 7*b**3 as o*b**3 + c + y*b**2 + t*b and give y. 2 Rearrange (y - 4*y + y)*(3*y + 2*y - 7*y) + 926 + 60*y**2 - 926 + 0 + 0 + y**2 - y - 2*y**2 + y + (2 - 2 - 2*y)*(y - 3*y + 0*y) to n + b*y + v*y**2 and give n. 0 Rearrange -4*n - n + n**3 - 6*n**3 + 4*n**3 to p*n**3 + x*n + t*n**2 + o and give p. -1 Rearrange -6*c**4 + 4*c**2 + 8*c**4 - 4*c**4 - 8*c to the form n*c**3 + g*c**2 + h + m*c**4 + y*c and give m. -2 Rearrange k**2 + 6*k**2 - 4*k**2 - k**2 + 65*k to s + u*k**2 + j*k and give j. 65 Express (-4 - 2 - 4)*(h + 1 - 1)*(h**3 + 4*h**3 - 7*h**3) as w + j*h**2 + o*h**4 + i*h + u*h**3 and give o. 20 Express -3*s**3 + 4*s**3 + 3*s**3 + (1 + s - 1)*(s**2 + 0*s**2 + s**2) + (s - s + s**2)*(28*s + 17 - 17) as v*s**2 + t + w*s**3 + k*s and give w. 34 Express (16*i - 58*i + 13*i)*(2*i**2 - 3*i + 3*i) as c*i**3 + l + t*i**2 + m*i and give l. 0 Express -6*o**3 + 1 + 5*o**3 - 2*o**3 - 2*o**4 - o**2 + 2*o**3 as k*o + s*o**3 + z*o**2 + t + g*o**4 and give t. 1 Rearrange k**3 + 2*k - 2*k**3 + 3*k + k**2 + 0*k**3 to the form b*k + o + r*k**3 + m*k**2 and give b. 5 Express -d**4 + 4*d**4 - 4*d**4 + (-3*d + d + 7*d)*(-13 + 13 + 7*d**3) in the form q + r*d**2 + g*d**3 + s*d**4 + j*d and give s. 34 Express 6 - 6*t - 7 - 1 + t - 4*t**3 as u*t**2 + h + q*t**3 + l*t and give q. -4 Express -10 - 4*k + 0*k + 4 in the form r*k + p and give p. -6 Express (5 - j + 1 - 8)*(-5 + 4 - 1) in the form h + u*j and give u. 2 Rearrange (-f - 4*f + 3*f)*((f + 4*f - f)*(-1 + 0 + 3) - 2 - 2*f + 2) to b*f + y + d*f**2 and give y. 0 Rearrange 4*s**2 + s**2 - 21*s**4 - 3*s**2 + 1 + 19*s**4 to the form q*s**4 + v*s + z + y*s**3 + u*s**2 and give q. -2 Express -2*k**2 + 12*k**3 - 9*k**3 - 2*k**3 in the form o + j*k + v*k**3 + p*k**2 and give p. -2 Rearrange -52*k**2 - 26*k - k**3 + 52*k**2 + 2*k**3 + 4*k**3 - 2*k**3 + (k - k + k)*(-2*k**2 + k**2 + 0*k**2) to the form f*k**3 + x*k**2 + w + n*k and give f. 2 Rearrange 3*r**2 - 1 - 5 + 0 + 5 to i*r + p + a*r**2 and give p. -1 Rearrange 2*i - 11*i**3 - 2*i**4 + 13*i**3 + 37 - 24 to r*i**4 + u*i + y*i**3 + h + p*i**2 and give r. -2 Express -25*g - 25 + 25 as a + k*g and give k. -25 Express -n**2 + 5*n**2 - 5*n**2 + (-2*n - n + 4*n)*(-32*n + 30*n + 10 - 2) in the form i + w*n + g*n**2 and give g. -3 Express (-3*k + 7*k + 2*k)*(-4 - 2*k + 4) + 0*k**2 - 3*k**2 - 5*k**2 as j*k + y + a*k**2 and give a. -20 Express 1 - 1 - 7*u - 3*u**2 + 2*u**2 as l*u**2 + k*u + g and give l. -1 Express -f**3 + f**4 - 4 - 3*f**2 + 0*f**3 - 8*f**2 + 9*f**2 in the form m*f**3 + q*f**2 + h + s*f + c*f**4 and give c. 1 Express -10*r**2 - 157 + 157 in the form p*r**2 + s*r + a and give p. -10 Express 3*i - 5*i + i + (0 + 0 - 1)*(0 - i + 0)
{ "pile_set_name": "DM Mathematics" }
n multiple of 6 and 1132. 3396 Calculate the common denominator of -19/110 and -161/30. 330 What is the lowest common multiple of 140 and 50? 700 What is the common denominator of -61/14 and 29/6? 42 Find the common denominator of 15/161 and 17/253. 1771 What is the common denominator of -41/6 and 9/436? 1308 Calculate the least common multiple of 3099 and 3. 3099 What is the smallest common multiple of 4 and 2090? 4180 Calculate the lowest common multiple of 40 and 90. 360 Calculate the common denominator of 73/412 and -99/8. 824 Calculate the common denominator of -111/22 and 73/468. 5148 What is the least common multiple of 22 and 64? 704 Calculate the smallest common multiple of 342 and 12. 684 Calculate the common denominator of 77/892 and -7/40. 8920 What is the smallest common multiple of 96 and 256? 768 Calculate the common denominator of -29/33 and -101/1848. 1848 What is the common denominator of 59/2 and 13/2? 2 What is the lowest common multiple of 160 and 880? 1760 What is the smallest common multiple of 420 and 200? 4200 Calculate the smallest common multiple of 416 and 44. 4576 What is the lowest common multiple of 12 and 858? 1716 What is the least common multiple of 810 and 30? 810 What is the common denominator of -89/1056 and -115/66? 1056 What is the least common multiple of 7464 and 9? 22392 Calculate the smallest common multiple of 40 and 5. 40 Find the common denominator of -77/108 and -83/560. 15120 Calculate the common denominator of -115/354 and -127/6. 354 Calculate the common denominator of -31/4011 and -31/3438. 24066 Calculate the least common multiple of 44 and 96. 1056 Calculate the common denominator of -38 and 7/186. 186 What is the common denominator of -31/8 and -117/40? 40 What is the smallest common multiple of 1963 and 151? 1963 Calculate the common denominator of -101/30 and -37/7695. 15390 What is the common denominator of 137/162 and -143/180? 1620 Calculate the common denominator of -95/144 and -29/126. 1008 What is the common denominator of -99/32 and -61/22? 352 What is the common denominator of 56/171 and 47/45? 855 Calculate the lowest common multiple of 200 and 48. 1200 Find the common denominator of -26 and -143/144. 144 Find the common denominator of -37/16 and -191/1320. 2640 Calculate the common denominator of -37/10 and -59/4804. 24020 What is the common denominator of 45/8 and 53/5266? 21064 Calculate the common denominator of -65/63 and 40/77. 693 Find the common denominator of -7/20 and 107/14. 140 Calculate the common denominator of -113/72 and 11/126. 504 What is the least common multiple of 8 and 44? 88 What is the lowest common multiple of 155 and 3720? 3720 What is the smallest common multiple of 6 and 114? 114 What is the common denominator of 41/225 and -2/303? 22725 Calculate the least common multiple of 104 and 24. 312 What is the least common multiple of 390 and 910? 2730 What is the common denominator of -155/2496 and -11/832? 2496 Calculate the common denominator of -191/1140 and 87/28. 7980 What is the lowest common multiple of 33 and 240? 2640 What is the least common multiple of 22 and 3422? 37642 What is the smallest common multiple of 591 and 591? 591 What is the smallest common multiple of 863 and 92? 79396 Calculate the smallest common multiple of 108 and 240. 2160 What is the common denominator of 43/3278 and -83/1192? 13112 Find the common denominator of 133/3520 and -167/2640. 10560 What is the lowest common multiple of 744 and 4092? 8184 Calculate the least common multiple of 220 and 6840. 75240 Calculate the least common multiple of 10 and 110. 110 Calculate the least common multiple of 32 and 784. 1568 What is the lowest common multiple of 36 and 18? 36 What is the common denominator of 91/318 and -54/265? 1590 Calculate the lowest common multiple of 57 and 24. 456 What is the common denominator of -35/1376 and 83/6? 4128 Calculate the least common multiple of 171 and 152. 1368 Calculate the common denominator of -67/22 and 91/22. 22 Calculate the smallest common multiple of 3 and 569. 1707 Calculate the lowest common multiple of 10 and 165. 330 What is the lowest common multiple of 32 and 96? 96 Calculate the common denominator of 57/364 and -83/1118. 15652 Calculate the common denominator of 13/36 and -127/180. 180 What is the smallest common multiple of 24 and 592? 1776 What is the common denominator of 11/72 and -79/54? 216 Find the common denominator of -77/208 and 17/3510. 28080 Calculate the common denominator of 155/84 and -53/44. 924 Calculate the lowest common multiple of 182 and 70. 910 What is the common denominator of -101/1038 and -34/9? 3114 Calculate the lowest common multiple of 70 and 30. 210 Calculate the common denominator of -93/40 and 35/69. 2760 What is the smallest common multiple of 3 and 165? 165 Find the common denominator of -16/9 and -38/27. 27 Find the common denominator of 103/6 and 7/93. 186 Find the common denominator of 23/56 and -3/22. 616 Find the common denominator of -25/84 and -39/56. 168 What is the least common multiple of 24 and 48? 48 What is the common denominator of 101/110 and -113/324? 17820 Calculate the common denominator of 27/418 and 95/4. 836 Find the common denominator of -57/175 and 64/385. 1925 What is the common denominator of 57/4 and 5/16? 16 Find the common denominator of -19/34 and 61/22. 374 What is the common denominator of 54/335 and 103/1474? 7370 What is the smallest common multiple of 520 and 15? 1560 Find the common denominator of 34/341 and 29/66. 2046 Calculate the common denominator of -34/189 and 8/399. 3591 Calculate the least common multiple of 390 and 104. 1560 What is the least common multiple of 297 and 708? 70092 What is the common denominator of -107/980 and -89/1260? 8820 What is the common denominator of 49/4808 and -50/6611? 52888 What is the least common multiple of 468 and 3874? 69732 What is the smallest common multiple of 165 and 55? 165 What is the common denominator of 133/72 and 109/560? 5040 What is the least common multiple of 32 and 117? 3744 What is the common denominator of -25/12 and 119/942? 1884 Calculate the least common multiple of 10 and 383. 3830 Calculate the lowest common multiple of 24 and 19842. 79368 Find the common denominator of -27/184 and 53/69. 552 What is the common denominator of -91/92 and 85/24? 552 Calculate the common denominator of 119/1480 and -13/1480. 1480 Calculate the common denominator of 79/32 and -133/24. 96 Calculate the least common multiple of 1119 and 15. 5595 What is the common denominator of -25/451 and 1/110? 4510 What is the smallest common multiple of 3164 and 8? 6328 Find the common denominator of -31/869 and 50/237. 2607 What is the least common multiple of 1370 and 13426? 67130 What is the common denominator of 91/18958 and 47/14? 132706 Calculate the least common multiple of 14 and 14. 14 Calculate the common denominator of 21/139 and -145/18. 2502 What is the smallest common multiple of 68 and 8? 136 Calculate the common denominator of -69/7030 and -129/190. 7030 Calculate the common denominator of 43/306 and 35/918. 918 Calculate the common denominator of -30/2117 and 13/730. 21170 What is the least common multiple of 14 and 62? 434 Calculate the common denominator of 43/2574 and -97/702. 7722 What is the smallest common multiple of 156 and 124? 4836 Calculate the lowest common multiple of 144 and 480. 1440 Calculate the lowest common multiple of 35 and 56. 280 What is the common denominator of -127/42 and -95/86? 1806 What is the lowest common multiple of 66 and 462? 462 What is the smallest common multiple of 56 and 35? 280 Calculate the common denominator of 52/1519 and -53/56. 12152 What is the least common multiple of 1443 and 624? 23088 Calculate the common denominator of 13/6 and 49/228. 228 Find the common denominator of -81/8 and -79/72. 72 Calculate the smallest common multiple of 24 and 201. 1608 What is the common denominator of -149/168 and 115/96? 672 Calculate the smallest common multiple of 304 and 36. 2736 Calculate the lowest common multiple of 50 and 25. 50 Calculate the common denominator of -145/252 and -37/140. 1260 What is the smallest common multiple of 2718 and 24? 10872 What is the smallest commo
{ "pile_set_name": "DM Mathematics" }
1/40 - 13/8. Let l = 1.9 + -2.4. Let q = 3.5 - 0.5. Which is the nearest to k? (a) q (b) l (c) -2/9 c Let h = -10.29 + -1.11. Let d = -11 - h. Which is the nearest to 2/5? (a) -3 (b) -2/11 (c) d c Let o = -3 + 6. Let r be (-14)/30 - (-7)/(-35). Which is the closest to r? (a) -2 (b) o (c) 0.3 c Let x = 3.94 + 0.06. Let p be (-84)/(-10) + (-4)/10. Let t be (-8)/(-6) - p/(-12). What is the nearest to t in 0.3, x, -2/15? 0.3 Let l = 0.018 + 34.982. Let d = 40.8 - l. Let y = -6 + d. What is the closest to 1 in y, -5, 0? 0 Suppose -n + 3 = 1. Let m be (-2)/6 + n/9. Let z = 131/3 - 44. Which is the nearest to z? (a) 5/2 (b) 0.4 (c) m c Suppose 4*z - 2*n = -8, 5*z = n - 2 - 8. Which is the closest to -6? (a) z (b) 1/4 (c) -0.1 a Let y = 3.6 + -4. Let p = y + 0.6. Which is the closest to p? (a) 0.1 (b) -0.1 (c) -0.3 a Let n be (-2 - 1/(-4)) + 2/(-8). What is the nearest to 10 in 0.2, 4, n? 4 Let d = 0 - 5. Let l = -43 - -39. Which is the nearest to 0.1? (a) l (b) d (c) -3 c Let o = 25 - 37. Let r = -11.9 - o. Which is the closest to 0? (a) r (b) 2/9 (c) -4 a Let n = -9.13 - -0.13. Let p = 9.5 + n. Which is the closest to -0.1? (a) 0.3 (b) 5 (c) p a Let j = -109/112 + 11/16. Let y = 0.4 + 0.6. Let o = -0.7 + y. What is the nearest to 0 in j, o, 2? j Let z = 3 + -2.8. Let g be (2/3)/((-4)/6). Let i be 2 - ((-22)/(-8) + g). What is the nearest to i in z, 4, 5? z Let v = 28 + -169/6. Let i = 0.1 + 0.1. Let o = 0 + i. Which is the nearest to o? (a) v (b) 5 (c) 2 a Let u = 15.3 - 15. Which is the nearest to 0.1? (a) 1 (b) u (c) -4 b Let k = -0.2 - 0.3. Let u = 1 - 0. What is the closest to u in 0.4, k, -2/7? 0.4 Suppose 6*j + 8 = 2*j, -3*j - 6 = -2*p. Suppose -4*l - 4 = p, u - 5*l + 2 = 3. Let v = u - -3. Which is the closest to v? (a) 0.2 (b) -3/5 (c) -1 c Let g = 1 + -1. What is the nearest to g in 0.4, -1, 0.3? 0.3 Let r = -2.5 + 2. Let d = -2 + 0. Which is the nearest to -0.1? (a) d (b) r (c) 0.1 c Let m = 13/60 - -1/30. Let x = 1 + -5. Let i be 18/x*(-3)/(-18). What is the nearest to 1/3 in m, -1/2, i? m Let a = 1.5 - 1.5. What is the nearest to a in 0.3, 3/8, -5? 0.3 Let d be (4 - 64/10) + 4 + -1. What is the nearest to 0 in d, 1/9, -2/13? 1/9 Let q = -15 + -2. Let k = q + 19. Which is the closest to -3? (a) k (b) -2/5 (c) 5 b Let m = -8 - -6.4. Let o = 4.6 + m. Which is the nearest to 0.1? (a) -4 (b) -2/3 (c) o b Let i = 3259 - 12925/4. Let c = i - 28. Let x be ((-3)/(-8))/((-3)/(-2)). What is the nearest to c in x, -1, -4? x Let p = -0.3 + 0.3. What is the nearest to p in -8, 0.4, -1/2? 0.4 Let n be ((-16)/(-24))/((-4)/6). Let j = -0.2 - 0.1. Let f = j - -0.4. Which is the closest to f? (a) 0.4 (b) n (c) 2 a Let b = -42 + 42.1. What is the closest to b in -5, 0, 1/3? 0 Let x = 1.3 - 0.3. Let r = -1.3 + x. Suppose -i + m + 5 = -0*m, -4*i + m = -8. Which is the nearest to i? (a) r (b) 4 (c) -4 a Let s = -1.3 + 4.5. Let j = s + -3. Which is the closest to -0.1? (a) j (b) -4 (c) 3 a Let w = -10 + 4. Let f be 1 + 1/(w/10). What is the closest to f in 3, -2/3, -1/2? -2/3 Suppose 9 = 3*r - 3*l, 0*l - l = 3*r - 9. Suppose 4*x - 5 = x - 2*h, -4*h = -4*x + 40. What is the closest to -1/2 in r, 3/7, x? 3/7 Let i = 20.5 - 21. What is the nearest to 1 in 0, i, -2? 0 Let x = 12 - 8. Let k = -0.19 - 0.21. Which is the closest to -0.2? (a) x (b) k (c) -0.2 c Let d be (7/((-63)/(-12)))/6. Which is the closest to 1? (a) 4 (b) -5.9 (c) d c Let f = -101.1 + 112. Let x = 11 - f. Which is the nearest to x? (a) 1/6 (b) -0.2 (c) -2/9 a Let s be 1 - (-2 + 1 + -1). Let m be (-1)/(-12) - (-2)/s. Which is the nearest to m? (a) 0.5 (b) 1/5 (c) 4 a Let y = 1.85 + 0.15. Which is the nearest to 3? (a) -1 (b) y (c) -5/2 b Let j = -5 + 2. Let o = -3 - -2.6. Which is the nearest to -1/3? (a) 4 (b) o (c) j b Let y be (6/(-10))/(39/(-26)). Which is the nearest to 0.1? (a) 0 (b) -3 (c) y a Let a = -187 - -1685/9. Let r = 27.1 - 27. What is the nearest to r in -0.5, 0.5, a? a Let j = 262 + -1049/4. Let g be (-2 + 3)*1 - -1. Suppose 0 = g*q - 5*l + 19, 3*q - 2*l + 16 = 3*l. What is the nearest to j in -1/7, q, 0.5? -1/7 Suppose -o - 5*n = 0, 32 = 2*o + 2*n - 0*n. Let l be o/6*6/5. Let v be (-4)/(-18) + 11/396. Which is the closest to -1? (a) -4/5 (b) l (c) v a Let z = 40 - 81/2. Which is the nearest to -1/6? (a) 0.5 (b) -4/3 (c) z c Let u = 377/8 - 47. Let w = 226 - 225.7. What is the closest to 0 in w, 3/7, u? u Let d = 13.3 + -7. Let r = d + -1.3. What is the closest to 0 in r, -0.1, -0.3? -0.1 Let u = 11.2 + -10.8. What is the closest to -2/3 in u, 5, -2/17? -2/17 Suppose -33 = 5*x + 102. Let q be 6/x - (-4)/18. Which is the nearest to q? (a) -0.3 (b) 1/3 (c) -3 a Let f = 14/33 + -1/11. Which is the closest to 0.1? (a) f (b) -4 (c) 0 c Let l be 3/(2 + 1) + 1. Let t = 35 - 19. Let p be l*6/t - 0. Which is the closest to 1? (a) p (b) 0.3 (c) 0.4 a Suppose v = -2*v + 4*u + 26, 0 = -4*v + 4*u + 28. Let q be (v/(-3))/(16/(-12)). Let f be (10/8)/(-5)*-3. What is the closest to q in f, -3/4, 2? f Let s = -5 - -9. Suppose 6 - 18 = 3*o. Let y = o - -9. Which is the nearest to 1/4? (a) 1/6 (b) y (c) s a Let q = -1.7 - -0.7. Let d be 20 + (2 - (-2 - -2)). Let h be d/(-14)*1 - -1. Which is the closest to 1? (a) 0.3 (b) q (c) h a Let n = 7.5 - 7.3. Which is the closest to n? (a) 0.4 (b) 1 (c) -3 a Let f = -87 - -87. Which is the nearest to 2? (a) -0.1 (b) -0.5 (c) f c Let z = 169/4 + -403/12. Let f = z + -55/6. Which is the nearest to 0? (a) -4 (b) f (c) -2 b Let x = 12 + -19. Let v = x + 11. What is the closest to -0.2 in 1, -3, v? 1 Suppose 0 = 2*n - 35 + 39. What is the closest to 2/5 in -4/5, 4, n? -4/5 Let d be 4 + (-2)/((-48)/(-100)). Let m be (-2)/(-8) + (-6)/(-8). Which is the nearest to m? (a) -2/17 (b) -4/3 (c) d a Let q(z) = z + 12. Let s be q(-10). Let f = -5 - -4.8. What is the nearest to s in f, 0, 1? 1 Let o = -26 + 26. Let c(q) = q**2 - 9*q + 10. Let a be c(7). Suppose x + 3*r + 12 = 0, 3*x = -r - 12 - 0. What is the nearest to o in 0.5, a, x? 0.5 Suppose f + 2 = 0, -3*f - 7 = -5*r + 9. Suppose r = 6*x - 8*x. Let q = 1 - 1.1. What is the nearest to -0.2 in -0.4, q, x? q Let o be 1 + 2/(3/(3/(-2))). Let m = -3 + 3.1. Which is the nearest to 2/7? (a) -1 (b) o (c) m c Let w(u) = u**3 + 22*u**2 + 40*u - 1. Let q be w(-20). What is the closest to 2 in 4/7, q, 2/11? 4/7 Suppose 0*u + 5*u = -3*m - 28, 5*u + 10 = 0. Let h be (-19)/15 - 4/m. Let l be -1 + (-1 - 8/(-3)). Which is the nearest to -1? (a) -5 (b) l (c) h c Let f = -58 - -64.2. Let k = -6 + f. Which is the closest to 1? (a) -5 (b) -1 (c) k c Let j = -9 - -14. Let l be 3*j/((-225)/6). Which is the nearest to l? (a) 0 (b) -2 (c) -4 a Let y be (149/(-13406))/((-207)/(-10934124)). Let d = y + -47/20109. Let s = d - -587. Which is the closest to 0.1? (a) s (b) 3 (c) -2/3 a Let h = 1.023 + -0.023. What is the nearest to 0.2 in h, 4, -5? h Let j = -98086 + 177927999/1814. Let o = -316984/4535 + j. Let i = -70 - o. Which is the closest to -0.1? (a) -2/5 (b) 4 (c) i c Let w = -1 + 6. Let v = -5.2 + w. Let m(t) = -t**2 - 2*t - 2. Let g be m(-2). Which is the nearest to -1? (a) g (b) 0.3 (c) v c Let y = -9 - -12. Let n = -12 - -7. Which is the nearest to 0.1? (a) y (b) -1 (c) n b Let h = 5.6 - 10.61. Let x = h + 0.01. What is the nearest to 2 in 0.1, x, 0.2? 0.2 Suppose c - 3*c - 2 = 0. What is the closest to 0.1 in 2/17, c, 4? 2/17 Let q be (-2)/(-7) - 95/(-35). Let g = 2 + q. Let u be 15/28 + 3/(-12). Which is the closest to -0.1? (a) g (b) u (c) 0.1 c Suppose -7*j + j = 18. Which is the closest to -2/5? (a) -0.1 (b) j (c) 5 a Let v = 16 - 12. Let l = -3.1 + 3. What is the nearest to l in -0.5, -3, v? -0.5 Let y = -0.07 - -0.12. Let r = -0.05 - y. Let z = -28 + 138/5. Which is the nearest to 2/3? (a) 0.4 (b) z (c) r a Let d = -0.7 - -0.7. Let z = 1.94 + 0.06. Let m = -3.3 + 3. What is the closest to z in -5, m, d? d Let p(r) = 3*r - 63. Let o be p(21). Let w be (-1 - 5)/(21/2). Let z = 1.97 - -0.03. Which is the nearest to 0? (a) o (b) w (c) z a Let x = 13 + -8. Let g = -1.3 + 1.3. Which is the closest to -1? (a) 3 (b) g (c) x b Let a = -12 - -17. Suppose a*s = 3 + 2. Let y be (2/24)/(s/2).
{ "pile_set_name": "DM Mathematics" }
True Does 56 divide 3976? True Is 4 a factor of 1052? True Is 120 a factor of 10599? False Is 2 a factor of 16308? True Is 2 a factor of 83? False Is 468 a multiple of 76? False Does 31 divide 2194? False Is 253 a multiple of 57? False Is 13 a factor of 442? True Does 254 divide 19050? True Is 50 a factor of 2270? False Is 6 a factor of 53778? True Is 1018 a multiple of 11? False Is 243 a multiple of 29? False Does 6 divide 15636? True Is 30 a factor of 39780? True Is 29165 a multiple of 307? True Is 826 a multiple of 3? False Does 54 divide 9936? True Is 9 a factor of 27783? True Is 9502 a multiple of 76? False Does 73 divide 1825? True Is 6011 a multiple of 58? False Does 4 divide 15259? False Is 9 a factor of 90? True Is 2 a factor of 981? False Is 17 a factor of 6962? False Is 4020 a multiple of 7? False Is 105 a factor of 3780? True Does 85 divide 1150? False Does 4 divide 364? True Does 11 divide 9821? False Does 252 divide 2520? True Is 22490 a multiple of 65? True Does 4 divide 3544? True Is 16764 a multiple of 27? False Is 10725 a multiple of 46? False Does 73 divide 16936? True Does 38 divide 2286? False Is 8883 a multiple of 9? True Is 223 a multiple of 11? False Does 20 divide 11040? True Is 13 a factor of 4110? False Is 26 a factor of 459? False Does 42 divide 5208? True Is 27 a factor of 604? False Is 10 a factor of 90? True Is 6651 a multiple of 89? False Is 3 a factor of 369? True Does 32 divide 5859? False Is 24 a factor of 216? True Does 5 divide 876? False Does 60 divide 1380? True Does 19 divide 323? True Does 9 divide 216? True Does 2 divide 651? False Is 21 a factor of 31122? True Is 391 a factor of 31280? True Is 11 a factor of 1177? True Does 4 divide 1027? False Is 5 a factor of 275? True Is 1504 a multiple of 47? True Does 51 divide 714? True Is 378 a multiple of 9? True Does 11 divide 13805? True Does 9 divide 8397? True Is 387 even? False Is 1125 a multiple of 5? True Does 15 divide 1718? False Is 36708 a multiple of 14? True Does 13 divide 24310? True Is 642 a multiple of 79? False Is 12761 a multiple of 106? False Is 1115 a multiple of 9? False Does 11 divide 906? False Is 6 a factor of 3420? True Is 338 a multiple of 13? True Is 3009 a multiple of 51? True Is 9 a factor of 616? False Is 37 a factor of 210? False Does 49 divide 1270? False Is 2060 a multiple of 10? True Is 13 a factor of 462? False Is 41060 a multiple of 14? False Is 13 a factor of 3185? True Is 33 a factor of 4885? False Does 133 divide 44504? False Is 19 a factor of 1803? False Is 14927 a multiple of 11? True Is 39 a factor of 345? False Does 36 divide 1534? False Is 4481 a multiple of 38? False Does 5 divide 789? False Is 1221 a multiple of 11? True Is 87 a factor of 5394? True Does 3 divide 2678? False Is 20 a factor of 17945? False Does 9 divide 369? True Is 3301 a multiple of 18? False Is 40548 a multiple of 85? False Is 29 a factor of 1323? False Does 6 divide 774? True Is 1167 a multiple of 40? False Is 162 a multiple of 3? True Is 2442 a multiple of 37? True Is 51 a factor of 204? True Does 23 divide 583? False Does 32 divide 23448? False Is 70 a factor of 223? False Does 17 divide 1496? True Is 759 a multiple of 23? True Is 5936 a multiple of 16? True Does 27 divide 1808? False Is 10674 a multiple of 49? False Is 90 a factor of 8864? False Is 106 a factor of 43248? True Does 21 divide 5982? False Is 38 a multiple of 6? False Is 34 a factor of 10880? True Is 171 a multiple of 9? True Does 85 divide 11645? True Does 44 divide 15004? True Is 186666 a multiple of 71? False Does 18 divide 10724? False Is 305 a multiple of 5? True Is 60 a factor of 1031? False Is 2340 a multiple of 10? True Does 21 divide 3663? False Is 4293 a multiple of 32? False Is 49 a factor of 1372? True Is 17 a factor of 16209? False Is 35 a factor of 4760? True Does 15 divide 45? True Is 228 a multiple of 57? True Is 10 a factor of 1778? False Is 85 a multiple of 12? False Does 2 divide 694? True Is 2690 a multiple of 3? False Is 2 a factor of 208? True Is 50 a factor of 984? False Is 1170 a multiple of 39? True Does 4 divide 1832? True Is 2867 a multiple of 77? False Does 70 divide 1960? True Is 2556 a multiple of 11? False Is 27 a factor of 52250? False Is 256 a multiple of 6? False Is 8 a factor of 98932? False Is 1110 a multiple of 48? False Is 12950 a multiple of 5? True Does 24 divide 4147? False Does 4 divide 516? True Is 10 a factor of 1976? False Is 3010 a multiple of 14? True Does 11 divide 137225? True Is 2248 a multiple of 9? False Is 24 a factor of 414? False Does 3 divide 23? False Is 11 a factor of 8565? False Is 128 a multiple of 16? True Is 14 a factor of 4774? True Is 82644 a multiple of 213? True Does 13 divide 20865? True Is 4584 a multiple of 6? True Is 2377 a multiple of 16? False Is 15 a factor of 1008? False Does 39 divide 78? True Does 9 divide 1503? True Is 15 a factor of 360? True Is 43 a factor of 13158? True Does 3 divide 7675? False Does 14 divide 4270? True Does 12 divide 2004? True Is 21142 a multiple of 22? True Does 17 divide 21983? False Is 4775 a multiple of 14? False Does 6 divide 150? True Is 1319 a multiple of 142? False Is 954 a multiple of 10? False Is 728 a multiple of 26? True Is 375 a multiple of 3? True Is 3559 a multiple of 18? False Is 212 a multiple of 11? False Does 56 divide 3505? False Does 20 divide 28875? False Does 62 divide 1662? False Does 182 divide 75083? False Is 1262 a multiple of 17? False Is 16 a factor of 256? True Is 3 a factor of 52? False Does 41 divide 611? False Is 9440 a multiple of 118? True Does 70 divide 611? False Is 12 a factor of 2675? False Is 3107 a multiple of 40? False Does 14 divide 274? False Is 120 a factor of 35128? False Is 56 a factor of 560? True Is 2 a factor of 92? True Is 300 a multiple of 25? True Does 10 divide 101? False Is 74080 a multiple of 43? False Is 4182 a multiple of 17? True Does 58 divide 2890? False Does 3 divide 8431? False Does 33 divide 2614? False Does 33 divide 6930? True Is 1827 a multiple of 21? True Does 5 divide 1005? True Does 25 divide 93? False Does 53 divide 1366? False Is 15 a factor of 1124? False Is 7 a factor of 732? False Does 6 divide 2322? True Does 59 divide 118? True Is 6 a factor of 369? False Is 25 a factor of 1186? False Does 117 divide 25623? True Is 9 a factor of 47? False Is 21 a factor of 7402? False Does 59 divide 15594? False Does 34 divide 1744? False Is 10758 a multiple of 4? False Does 11 divide 612? False Is 59 a multiple of 14? False Is 374 a multiple of 5? False Is 1073 a multiple of 37? True Is 116 a factor of 6380? True Is 49755 a multiple of 15? True Is 5 a factor of 33340? True Does 101 divide 7878? True Is 15136 a multiple of 22? True Is 489 a multiple of 12? False Is 17457 a multiple of 11? True Does 5 divide 30655? True Is 96 a multiple of 16? True Is 38 a factor of 2775? False Does 9 divide 11853? True Is 17524 a multiple of 25? False Is 36001 a multiple of 10? False Does 24 divide 607? False Does 88 divide 1144? True Is 12612 a multiple of 6? True Is 12 a factor of 936? True Does 5 divide 116? False Does 3 divide 8? False Does 15 divide 1425? True Is 1422 a multiple of 31? False Is 1332 a multiple of 101? False Is 29 a factor of 15805? True Does 9 divide 65693? False Does 13 divide 30160? True Is 188 a factor of 14444? False Does 9 divide 853? False Is 145 a factor of 4495? True Does 56 divide 810? False Does 114 divide 73889? False Is 208 a multiple of 35? False Is 18592 a multiple of 4? True Is 14 a factor of 2142? True Is 45 a factor of 5627? False Does 12 divide 44652? True Is 230 a factor of 20930? True Is 26 a factor of 437? False Is 63 a factor of 5264? False Is 54 a factor of 9544? False Does 96 divide 43872? True Is 71400 a multiple of 17? True Does 12 divide 9937? False Does 57 divide 5631? False Is 103 a multiple of 3? False Does 6 divide 180? True Is 5133 a multiple of 87? True Does 52 divide 116220? True Is 8037 a multiple of 47? True Does 11 divide 2574? True Is 576 a multiple of 17? False Does 66 divide 7062? True Is 4894 a multiple of 34? False Is 13 a factor of 124? False Is 936 a multiple of 13? True Is 24937 a multiple of 11? True Does 18 divide 2781? False Is 2353 a multiple of 13? True Is 4 a fac
{ "pile_set_name": "DM Mathematics" }
w(c) = c - 1. Suppose 4*n + 4 = -0. Let o(u) = -3*u + 4. Give n*o(j) - 2*w(j). j - 2 Let j(y) = 6*y + 17. Let k(w) be the second derivative of -w**3/2 - 4*w**2 - 69*w. Give 6*j(o) + 13*k(o). -3*o - 2 Suppose 0 = 3*q + 4*r + 5, -5*q - 16 + 2 = r. Let v(b) = -14*b**2 - 8. Let s(c) = 5*c**2 + 3. Give q*v(y) - 8*s(y). 2*y**2 Let h(i) be the first derivative of -2*i**2 - 1. Let t(k) = 5*k. Let z be 12/(-6)*13/(-2). Suppose 4*q + 11 + z = 0. Determine q*t(m) - 7*h(m). -2*m Let o(j) = -4*j**2 + j - 5. Let p(i) = 8*i**2 - 2*i + 10. Let y(w) = w**2 + 1. Let t = 19 + -21. Let n(s) = t*y(s) - p(s). Calculate -5*n(z) + 12*o(z). 2*z**2 + 2*z Let q(i) = -9*i - 1. Let c(h) = h. Let w(o) = -5*c(o) - q(o). Let n(u) = 2*u + 1. Calculate -5*n(x) + 3*w(x). 2*x - 2 Let a be 8/10*(-55)/11. Let k(y) = 0*y**2 - 4*y**2 + 0*y**2. Let b(x) = 3*x**2. What is a*k(h) - 5*b(h)? h**2 Let u(k) = -3*k + 4. Let m(j) = 4*j - 5. Suppose -19 = -10*i + 11. Calculate i*u(n) + 2*m(n). -n + 2 Let c(t) be the third derivative of t**4/24 - 2*t**3/3 + t**2. Let d(a) = -1. Let x(u) = -u**2 - 15*u + 33. Let v be x(-17). Calculate v*c(m) + 6*d(m). -m - 2 Let g(o) = 12*o + 5. Let u(b) = -6*b - 2. Calculate 3*g(z) + 7*u(z). -6*z + 1 Let c(z) = -3*z**2 + 3*z - 14. Let t be -3*(-2 + (3 - 0)). Suppose 0 = -p - 1 + 2. Let i(l) = -p - 4 - l**2 + 3*l - l - l. Give t*c(y) + 8*i(y). y**2 - y + 2 Let q(b) = 2*b - 2. Let d(h) = -h - 1. Let l(i) = -14*i + 3. Let s(u) = 6*d(u) - l(u). Determine -9*q(j) + 2*s(j). -2*j Let b(w) = 83*w + 5. Let t(g) = 208*g + 12. What is 12*b(k) - 5*t(k)? -44*k Let c(f) = -f**3 + f + 1. Let g(x) = -x**3 - 2*x**2 - 3*x - 2. Determine -2*c(n) - g(n). 3*n**3 + 2*n**2 + n Suppose -4*s - 11 = -3. Let k(u) = 2*u**3 + u**2 + 2. Suppose 0 = -m + 4 + 1. Suppose -20 = -5*c + m. Let d(r) = 4*r**3 + 2*r**2 - r + 5. Give c*k(x) + s*d(x). 2*x**3 + x**2 + 2*x Let p = -111 - -104. Let l(n) = 13*n + 3. Let b(m) = 7*m + 2. Give p*b(h) + 4*l(h). 3*h - 2 Let z(y) = 14*y**2 + 8*y - 13*y**2 + 6 - 2*y. Let i(r) = r**2 + 5*r + 5. Determine 6*i(p) - 5*z(p). p**2 Let d(r) = r - 4. Let q be d(3). Let f(t) be the first derivative of t + 2. Let o = -26 + 16. Let c(l) = 2*l - 10. Give o*f(g) + q*c(g). -2*g Let o(w) = 2*w. Let g = -174 + 160. Let f(b) = 4*b. Give g*o(s) + 6*f(s). -4*s Let j(p) = -4*p + 2. Let g be (6/(-8))/(2/8). Let q(f) = 2*f - 1. What is g*j(k) - 7*q(k)? -2*k + 1 Let t(n) = -4*n**3 + 4*n**2 - 3*n - 4. Suppose 0 = 2*s - 5*s + 9. Let o(j) = -7*j**s - 1 + 2 + 7*j**2 - 8 - 5*j. What is -3*o(m) + 5*t(m)? m**3 - m**2 + 1 Let y(o) = -o + 1. Let i(k) = -11*k + 14. Determine i(f) - 6*y(f). -5*f + 8 Suppose 7*j = 3*j + 16. Let v(i) = 0*i + j*i - i + 5. Let n(f) = -f - 2. What is -5*n(y) - 2*v(y)? -y Let i be ((-12)/(-10))/(2/10). Let m(p) = -1. Let b(v) = 2*v**3 + 2*v**2 + 4. Let d = 43 + -42. Give d*b(w) + i*m(w). 2*w**3 + 2*w**2 - 2 Suppose -2*o + 35 = -4*m - 1, -12 = -3*o. Let n(h) = -6*h + 10. Let w(t) = 4 + 1 - 2*t - 2. What is m*w(k) + 2*n(k)? 2*k - 1 Let v(b) = 2*b - 1. Let o(z) = 7*z - 31. Give -o(g) + 4*v(g). g + 27 Let g(v) be the first derivative of -v**4/4 + 7. Let z(l) be the second derivative of l**5/4 + l**3/6 + l. What is 11*g(j) + 2*z(j)? -j**3 + 2*j Let c(j) = 5*j**2 - 4. Let a(f) = f**3 + 4*f**2 - 3. What is -5*a(k) + 4*c(k)? -5*k**3 - 1 Let k(d) = d**2 - 1. Let r(m) = -11*m**2 + m + 6. Calculate 4*k(j) + r(j). -7*j**2 + j + 2 Let n(f) = 2*f + 2. Suppose 5*b - 4*l - 10 = 0, -2 - 6 = -4*b - 3*l. Suppose 3 - 5 = -b*q. Let x be (q/3)/(1/9). Let s(r) = 2*r + 2. Determine x*n(t) - 2*s(t). 2*t + 2 Let v(c) = -4*c + 8. Let x(z) be the third derivative of -z**4/8 + 7*z**3/6 + z**2. Let u(t) = t**2 - 17*t + 58. Let g be u(13). Calculate g*x(w) - 5*v(w). 2*w + 2 Let d be (-13)/52*8/2. Let b(m) = m - 1. Suppose 9 = p + 1. Suppose -y - 15 = 4*o, 4*o + p = 4*y - 12. Let n(f) = -2*f**3 - 4*f + 5. What is d*n(c) + o*b(c)? 2*c**3 - 1 Let l(c) = c. Let t(m) = -m + 1. Let u(v) = -3*l(v) - t(v). Let d(y) = 2*y + 1. Give 5*d(q) + 4*u(q). 2*q + 1 Let a(b) = -b**2 + 1. Let g(c) = 3*c**2 - c - 4. Let v be 115/25 + 2/5. Suppose -3*n - 3*d - d + 19 = 0, 20 = v*d. What is n*g(x) + 5*a(x)? -2*x**2 - x + 1 Let j(q) = -2*q**3 - 5*q**2 - q + 1. Let r(b) = -2*b**3 - 4*b**2 - 2*b. Give -4*j(y) + 5*r(y). -2*y**3 - 6*y - 4 Let o be 30/(-7) + (15/(-21) - -1). Let f(y) = -y**2 + 3*y + 4. Let u(s) = -2*s**2 + 8*s + 11. Calculate o*u(q) + 11*f(q). -3*q**2 + q Let a(h) be the third derivative of 3*h**6/40 - h**5/4 - 5*h**4/8 + 9*h**2. Let n(s) = -5*s**3 + 8*s**2 + 8*s. What is -6*a(t) - 11*n(t)? t**3 + 2*t**2 + 2*t Let f(b) = -32 + 3*b + 32. Let x be f(2). Let s(t) be the second derivative of 4*t**3/3 - t. Let i(v) = 9*v. Calculate x*i(n) - 7*s(n). -2*n Let j(q) = 7*q + 6. Let z(y) = -3*y + 5*y - 5 - 8*y + 0*y. Give -4*j(v) - 5*z(v). 2*v + 1 Let s(y) = -5*y**3 + 5*y**2 - 5*y + 5. Let v(u) = -u**3 + u**2 + u - 1. Let c(a) = 3*a**3 - 4*a**2 + 2*a - 2. Let x(o) = -c(o) - v(o). What is -3*s(g) + 5*x(g)? 5*g**3 Let b be (-3 - 0)/(2/(-2)). Let f(u) = -3*u + 2*u - 3*u + 16 + b*u. Let q(a) = 3. Give 2*f(o) - 11*q(o). -2*o - 1 Let w be -2*1/4*10. Let v = 4 - 8. Let u(b) = -b**2 + 2. Let t(k) = -k**2. Let o(c) = 6*t(c) - u(c). Let n(r) = 6*r**2 + 3. Determine v*n(f) + w*o(f). f**2 - 2 Let u(w) = 3*w**3 + 4*w + 2. Let z(l) = 4*l**3 - l**2 + 5*l + 3. Let b(y) = -2*y - 16. Let v be b(-7). Give v*z(a) + 3*u(a). a**3 + 2*a**2 + 2*a Let y(g) = g**3 + 4*g**2 - 4*g + 3. Let z(o) = 2*o**3 + 5*o**2 - 5*o + 4. Calculate -5*y(c) + 4*z(c). 3*c**3 + 1 Let u(c) = -2*c. Let o be u(-3). Suppose 5*h + 423 - 163 = 0. Let r be (h/8)/((-2)/4). Let b(x) = 2*x**3. Let l(g) = -g**3. Determine o*b(w) + r*l(w). -w**3 Let l(a) = -a + 1. Let y(t) = -3*t. Determine 4*l(s) - y(s). -s + 4 Suppose 2*f = 4*f + 4*q - 6, 0 = 2*f - 3*q + 8. Let l = 2 + f. Let k(y) = 0 - 4 + 4 - l. Let x(n) = 2*n - 8. Calculate 6*k(w) - x(w). -2*w + 2 Let u(n) = 4*n**3 - 7*n + 3. Let z(b) = 5*b**3 - 8*b + 3. What is -7*u(s) + 6*z(s)? 2*s**3 + s - 3 Let o(m) = -176*m + 17. Let z(j) = -59*j + 6. Determine 6*o(q) - 17*z(q). -53*q Let u(z) = 5*z**2 - 6*z + 6. Let s(o) = 4*o**2 - 5*o + 5. Let a = -43 - -24. Let j = a + 14. Determine j*u(m) + 6*s(m). -m**2 Let n(z) be the first derivative of 1/2*z**2 + z + 2. Let h(f) = -f**3 - 16*f**2 + 19*f + 31. Let w be h(-17). Let o(c) = -c - 1. Give w*o(u) - 4*n(u). -u - 1 Let j = -1 + 0. Suppose 0 = -3*r + 2*b, -r - 4*r - b = 0. Let h(m) = m + r*m**2 - m - m**2. Let d(l) = l + 1. Calculate j*h(i) + d(i). i**2 + i + 1 Let c(q) = 47*q**2 - 7*q. Let d(o) = -23*o**2 + 3*o. Calculate 3*c(x) + 7*d(x). -20*x**2 Let o be 1/(-1)*(6 - 7). Let b(h) = -1 - 4 + 4 - 2*h**3 - 2*h. Let j(k) = k**3 + k + 1. What is o*b(t) + j(t)? -t**3 - t Let s(u) = -u + 1. Let h(r) = 4*r**2 + 24*r - 24. What is h(a) + 24*s(a)? 4*a**2 Let s(d) = 8*d**2 - d - 4. Let t(u) = 9*u**2 - u - 5. Let l = 1 - -1. Suppose -4*m = -9*m, 0 = -l*f + m + 12. Determine f*t(w) - 7*s(w). -2*w**2 + w - 2 Let s(o) = -5*o + 3. Let z(l) = -29*l + 17. What is -34*s(h) + 6*z(h)? -4*h Let q(w) = -w**3 - w - 4*w**3 - 3*w**2 + 4*w. Let x(c) = 6*c**3 + 4*c**2 - 4*c. Let m be (12/8)/(3/8). Let z = -1 - -4. What is m*q(k) + z*x(k)? -2*k**3 Let s(t) = -5*t**3 - 2*t - 6. Let d(p) = -4*p**3 - 2*p - 5. Give -6*d(l) + 5*s(l). -l**3 + 2*l Let l(c) be the second derivative of -2*c**3/3 + c**2/2 + 11*c. Let u(i) = i - 1. Let f(d) = -7*d + 6. Let y(h) = f(h) + 6*u(h). What is l(w) - 6*y(w)? 2*w + 1 Let n(q) = -3*q**3 - 7*q**2 - 5*q - 5. Let m(p) = 3*p**3 + 6*p**2 + 4*p + 4. Determine 5*m(g) + 4*n(g). 3*g**3 + 2*g**2 Let s(y) = -4*y**2. Let j(z) = -6*z**3 + 1. Let d be j(-1). Let g = d + -12. Let p(q) = -2*q**2. Determine g*p(u) + 2*s(u). 2*u**2 Let t(c) = c. Suppose 0 = a + 5 - 4. Let j(s) = 5*s + 1. Let b(p) = 1. Let z be (-3 - -2)*1/(-1). Let o(v) = z*j(v) - 3*b(v). Calculate a*o(q) + 3*t(q). -2*q + 2 Let h(w) be the third derivative of -w**4/8 + w**3/6 - 4*w**2. Let x(f) = -4*f + 2. Let o(g) = 3*h(g) - 2*x(g). Let c(q) = 5*q + 2. Determine c(n) + 3*o(n). 2*n - 1 Let b(g) = 7*g**2. Let m(l) = -7*l**2. What is -6*b(c) - 7*m(c)? 7*c**2 Let p(j) = -5*j + 3. Let g(o) = 1. Let r be (-1)/8*-2 - 26/8. Determine r*g(z) + p(z). -5*z Let w(r) = 11*r**3 - 6*r - 3. Let f(y) = -7*y**3 + 4*y + 2. Calculate 8*f(x) + 5*w(
{ "pile_set_name": "DM Mathematics" }
Let b(d) = -3. Let a(s) = 3*b(s) + f(s). Let g(y) = -2*y - 3. Let u(m) = a(m) - 2*g(m). Calculate u(13). -6 Let o(s) = s**3 - 2*s**2 - 3*s - 3. Suppose 0 = 6*a + 5*a + 33. Let t(j) = j**3 - j**2 - 5*j - 4. Let z(y) = a*t(y) + 4*o(y). Give z(3). -9 Let w = 3581 + -3561. Let l(a) = -a**2 + 23*a - 101. What is l(w)? -41 Let t = 2616 - 2602. Let r(v) = v**3 - 15*v**2 + 10*v - 7. What is r(t)? -63 Suppose -s - 261 = -271. Let v(p) = -s - 2 + 0 - 3*p. Calculate v(-6). 6 Let u(d) = -96*d + d**3 + 190*d - 38*d**2 - 73 - 92*d. Calculate u(38). 3 Let d be ((-1)/1)/(2/(-8)). Let l(x) be the third derivative of 5*x**2 - 1/8*x**4 + 0*x + 0 + 0*x**3. What is l(d)? -12 Let f be (-12)/(3 - (-1 + 3)). Let d be (52/f - -2) + (-4)/6. Let l(m) = -2 - m**2 + 6 + m**2 + m**2 + 5*m. Give l(d). -2 Let i(j) = -j**2 + 3*j + 2. Let o = 116 + -174. Let y = 59 + o. Let x be (-1 + -2 - -4) + (y - -2). What is i(x)? -2 Let r(k) be the second derivative of 14*k**3/3 - 7*k**2/2 + 340*k + 2. Determine r(0). -7 Let s(w) = 7*w + 25*w - 73*w**2 - 45*w + 72*w**2 - 38. Calculate s(-5). 2 Let l(b) = 21*b**2 + 24*b - 15. Let d(i) = 5*i**2 + 6*i - 3. Let w(z) = -17*d(z) + 4*l(z). Determine w(-7). -16 Let u(c) = -c**3 - c**2 + 1. Let v(g) = -g**3 - 4*g**2 + 2*g. Let p(s) = 2*u(s) - v(s). Suppose -f - 268 + 284 = 3*l, 4*l + f = 19. Calculate p(l). -13 Let q be 4/96*6*(-1344)/56. Let h(k) = 11 - 5*k + 0*k**2 + 1 - k**2. Give h(q). 6 Let s be (-13 - -11) + 4 + 0 + 35. Let r(i) = -i**3 - 4*i**2 - 3*i - 5. Let z be r(-4). Suppose -z*h + 2 = s. Let m(j) = j + 3. Give m(h). -2 Let o = 92 - -117. Let i = o - 207. Let v(u) = 3*u + 1. Determine v(i). 7 Let o be 38/8 + (-3)/(-12). Let p(q) be the third derivative of -q**6/120 + q**5/10 - q**4/12 - 5*q**3/3 - 4204*q**2. Determine p(o). 5 Suppose 0 = 3*r - 80 - 85. Let i = r - 50. Let w(h) = i*h - 2*h - 5 - 2*h + 6. Give w(7). 8 Let d(o) be the first derivative of o**4/12 - o**3/6 + o**2/2 - 38*o + 175. Let s(i) be the first derivative of d(i). Give s(0). 1 Let y(u) = 275*u + 20. Let p(d) = 321*d + 22. Let m(h) = 6*p(h) - 7*y(h). Suppose 3 = -z, z - 9 = -3*c - 0*z. What is m(c)? -4 Let k be (25/(-20) - -2)*(-40)/(-15). Let d(f) = -10*f + 22. What is d(k)? 2 Let f(i) = 15*i**3 - 10*i**2 + i + 11. Let q(u) = 4*u**3 + u + 1. Let j(l) = f(l) - 4*q(l). Give j(-10). 37 Let x(t) = 2*t**3 + 2*t**2 - 15*t - 1. Let k be x(-5). Let b = -123 - k. Let y(c) = c**2 - c + 4. Give y(b). 10 Let o(i) = 5*i - 122. Let u be o(25). Let w(g) = 3 - 2*g**2 + 19*g**u - 2*g**2 - 4 - 18*g**3. What is w(3)? -10 Let h(t) = 6 - t + t**3 - 13*t**2 - 2 + 5. Suppose 0 = -115*q - 136 + 1606 + 25. Give h(q). -4 Let c(o) = o**2 + 20*o + 94. Let t be 2/18 - (-944)/576*-8. Give c(t). 3 Suppose 5*c + 8 = -h, -c = 2*h + c. Let w(q) = 180*q - 351*q - 3 + 169*q. Calculate w(h). -7 Let q be 66/(-176) + 11/8. Let c(j) = -1 + 7*j**2 - 3 + 2*j + 3. What is c(q)? 8 Let q(i) = i**3 - 5*i**2 + 5*i - 14. Let k be 11/((-308)/(-24))*4*(-91)/(-52). Give q(k). 52 Let l be (2 + (-356)/6)*36/24. Let d = -80 - l. Let w(k) = k - 5. What is w(d)? 1 Suppose 146*w = -6 - 140. Let r(y) = -y**2 + 6 - 5*y**2 + 9 - 16 - y. What is r(w)? -6 Let n(v) = 9*v**2 - v**2 - 3*v - 4 - 7*v**2 + 0*v**2 - 3*v. Let x(u) = -u**2 + 9*u + 7. Let q(b) = -5*n(b) - 3*x(b). What is q(2)? -3 Suppose -2*p - 2 - 6 = 0. Let s(z) = -z**3 + 6*z**2 + z - 8. Let y(c) = c**3 - 5*c**2 - c + 6. Let l(v) = p*y(v) - 3*s(v). Determine l(-2). 14 Suppose 72*j + 90 = 78*j. Let u(c) = 3*c - 17. Give u(j). 28 Let v(b) = 3*b - 26. Let m be v(10). Let a(w) = 6*w**3 - 4*w**2 - m*w**3 - 3*w**3 + 0*w**2. Calculate a(-3). -9 Let f(d) be the second derivative of -d**5/20 - d**4/6 - d**3/6 - d**2/2 + 10*d. Let r(s) = 11*s + 54. Let n be r(-5). Determine f(n). -1 Suppose 5*n + 152*v + 57 = 149*v, 54 = -3*n - 4*v. Let p(z) = 3*z - 4*z - 9 - z. Calculate p(n). 3 Let x(o) be the second derivative of o**4/4 + 17*o**3/3 + 17*o**2/2 - 18*o - 2. Calculate x(-11). 6 Let i(a) be the second derivative of -a**5/20 - 4*a**4/3 - 17*a**3/6 - 13*a**2/2 + 3658*a. Give i(-15). 17 Let v(m) = m**3 + 25*m**2 - 9*m - 16. Let f be v(0). Let b(d) = -d**3 - 17*d**2 - 19*d - 35. Calculate b(f). 13 Let f(x) = -17*x - 22*x - 15 + 56*x - 16*x. Determine f(5). -10 Let l(p) = 27*p - 79. Suppose 12 = -22*j + 78. Let h be l(j). Let z(u) = 3*u**3 - u**2 - u + 1. What is z(h)? 19 Let r(h) = 5*h - 15*h - 7 + 24 - 12*h - 7. Calculate r(1). -12 Let r(t) = 91*t + 4*t**3 - 23 - 10*t**2 - 154*t + 82*t - 3*t**3. Give r(8). 1 Let l = -111 + 126. Let s(f) = -40*f + 14*f + 9*f + l*f. Calculate s(6). -12 Let c(v) = v**2 - 2*v - 1. Suppose -3*b - 6*x + x - 16 = 0, b - 4*x - 23 = 0. Suppose -t = -3, -4*t + 66 = -0*s + b*s. Suppose -15*z + s*z - 9 = 0. Give c(z). 2 Suppose -5*i + 3*i + 288 = 0. Suppose -5*k = -4*t - 191, -3*k = -t - 2*t - i. Let x = -47 - t. Let h(r) = r**2 - 2*r. What is h(x)? 0 Let s(r) = 15*r + 173. Suppose 0 = 19*a - 19*a + 17*a + 187. Give s(a). 8 Let r(l) = l. Let b(v) = -13*v - 1. Let j = 1 - -1. Let s(t) = j*b(t) + 22*r(t). Suppose 0 = -3*d - 4*h + h - 6, 0 = -4*d - 2*h - 12. Calculate s(d). 14 Let k(o) = 7*o + 49. Let p be k(-6). Let m(v) = 2*v**3 + v - p + 4 - v**3 + 0*v**3 + 4*v**2. Suppose 0*f = -2*f + 4, -13 = y - 5*f. What is m(y)? 3 Let c(x) be the first derivative of -x**4/4 - 10*x**3/3 + 14*x**2 + 48*x + 6551. Determine c(-12). 0 Let c(d) be the first derivative of 9*d**3 + d**2/2 - 3*d + 2953. Calculate c(-2). 103 Let d(g) = -2*g**3 + g**3 - 3*g**2 - g + 2 + 2*g. Let t(x) be the first derivative of -5*x**2 + 117*x - 233. Let i be t(12). What is d(i)? -1 Let d(s) be the first derivative of s**4/4 - 19*s**3/3 + 10*s**2 - 33*s + 899. What is d(18)? 3 Let f(q) be the first derivative of -q**3/3 - q**2/2 + 4*q + 5. Suppose 4408*d - 4395*d + 10 = -68. Give f(d). -26 Let x(k) = -29*k**2 + 28*k - 51. Let d(y) = 18*y**2 - 18*y + 34. Let l(t) = -8*d(t) - 5*x(t). What is l(-7)? 4 Let j(a) = a**2 + a + 8. Let d(k) = -k**3 + 3*k**2 + 10*k - 1. Let p be d(5). Let y be p/2*4*-2. Suppose 0*m = -y*m - 3*c, -c = 2*m. What is j(m)? 8 Let f be -13 + 12/2 + 7. Let n be (2 + f)*(4 - 2). Let z(g) = -2*g**2 + 2*g - 2. Calculate z(n). -26 Let f(l) = -l**3 + 5*l**2 + 6*l - 7. Let z be f(6). Let j(i) = -48 - 20*i + 31*i + 30 - 18*i + 17 - 4*i**2 + 3*i**2. Calculate j(z). -1 Let k(g) = -g**3 + 55*g**2 - 66*g + 671. Let h be k(54). Let o(d) = -2*d + 64. Calculate o(h). 18 Suppose 711 = 131*y - 2517 + 739. Let t(l) be the second derivative of 0 + 1/2*l**2 + 1/2*l**3 + 1/12*l**4 - y*l. Calculate t(-2). -1 Let l(m) = -3*m**3 + 2*m. Let d(r) = -42*r**3 + 3*r**2 + 11*r - 3. Let p(n) = d(n) - 5*l(n). Give p(1). -26 Suppose 40*d + z = 35*d + 18, -5*z = -3*d - 34. Let j(m) be the first derivative of 0*m + 34 - 11/2*m**d. What is j(-1)? 11 Let t(d) = d**3 - 1 + 13*d**2 - 9 - 15*d + 1. Let z = 88046 + -88060. Calculate t(z). 5 Let f(s) = -35*s**3 + s**2 - 3*s + 1. Let g(u) = 104*u**3 - 3*u**2 + 8*u - 3. Let x(a) = -11*f(a) - 4*g(a). Calculate x(-1). 32 Let w be 98/2*(11 - 10). Suppose 4*o - w = -4*s - 17, -o = -s - 2. Let p(d) = 9*d - 2. Let b(m) = -46*m + 9. Let z(y) = 2*b(y) + 11*p(y). What is z(s)? 17 Let q(a) be the first derivative of -a**5/20 + a**4/3 + a**3 + 142*a + 81. Let l(p) be the first derivative of q(p). Give l(5). 5 Let j(x) be the third derivative of 1/12*x**4 + 0 + 13*x**2 - 1/60*x**5 - 1/6*x**3 + 0*x. Calculate j(2). -1 Let q(m) be the third derivative of m**6/12 + m**5/12 + m**4/24 + m**3/3 + 3095*m**2. What is q(-2)? -60 Let y(r) = r - 13. Let o(h) be the third derivative of -h**4/24 + 17*h**3/6 + 11*h**2 + h. Let q be o(10). What is y(q)? -6 Let h(m) = 5*m**3 - 15*m**2 + m - 22. Let j(o) = 2*o**3 - o**2 + 5*o + 1. Let y(w) = h(w) - 3*j(w). Determine y(-11). 8 Let i(t) = -t**2 - 53*t + 1547. Let f be i(-74). Let c(g) = 4*g + 3. Determine c(f). -25 Let d = 248 + -208. Let v(t) = -3*t + 76 - t**3 - d - t**2 - 37. Let h(j) = -j - 12. Let m be h(-10). Calculate v(m). 9 Let f(v) = 3*v**3 - 58870*v**2 + 58875*v**2 + 4 - 2*v**3 + 0*v**3 + 4*v. Determine f(-5). -16 Let q(p) = -p**3 - 5*p**2 - p - 3. Let d = 235 + -223. Let z be 6/(-3) + 0 - -19. Let r = d - z. Determine q(r). 2 Let n(z) be the second derivative of -z**5/20 - 37*z**4/12 - 65*z**3/3 + 77*z**2/2 + 26*z + 125. Determine n(-33). 1
{ "pile_set_name": "DM Mathematics" }
0 + 0)*(-3 + 3 + 1) - 156*i**2 - 3*i - 158*i**2 + 318*i**2 - 18*i**3 + 22*i**3. 10*i**3 + 4*i**2 - 3*i Expand (-4*k + 4*k + 2*k)*(2*k**3 + 5*k**3 - 4*k**3)*(46*k - 659 + 659). 276*k**5 Expand (-3 - 1 + 8)*(-4*r + 5*r - 3*r)*(-6815*r + 6815*r + 16*r**4 - 15 - 3*r**2). -128*r**5 + 24*r**3 + 120*r Expand -m**2 + 0*m**2 - 5*m**2 + (0*m + 2*m + 0*m)*(2*m - 1 + 1) + 2*m - 2*m**2 - 2*m + (m - m - m)*(3*m + 6*m + 2*m) - 4*m**2 - 2*m**2 + 4*m**2. -17*m**2 Expand (-179 - 21 - 95)*(-2*d**5 - 2*d**5 + 3*d**5). 295*d**5 Expand (35*g**2 + 46*g**2 - 25*g**2 + (5*g - 21*g - 7*g)*(3 - 3 + g))*(0 + 0 - 2)*(2*g + 0*g - 4*g). 132*g**3 Expand (9*u**3 + 4*u**3 - 3*u - 8*u**3)*(3*u - 2*u + 0*u + (-u + 5*u + 0*u)*(-1 + 1 + 1)). 25*u**4 - 15*u**2 Expand (-3*j**4 + 2*j**4 + 2*j**4)*(4*j - 9*j - 79*j) + 203*j**4 + 67*j**5 - 203*j**4. -17*j**5 Expand (-5*l**3 + 14*l**3 + 11*l**3)*(-182558 - 20*l + 13*l - 21*l + 182557)*(5*l - 4*l + 0*l). -560*l**5 - 20*l**4 Expand -4229*r + 4229*r + 10*r**3 + (-5*r + 2*r + 0*r)*(-r**2 - 3*r**2 + r**2). 19*r**3 Expand (-1 + 2 + 2)*(-551*j + 273*j - 35 + 255*j). -69*j - 105 Expand (-143788 + 143788 + 412*k**2)*(4*k**3 - 2*k**3 - 4*k**3)*(68 - 17 + 28). -65096*k**5 Expand (-14*p - 33 + 33)*(2*p - 2*p**3 - 2*p)*(4*p + 7*p + 4*p). 420*p**5 Expand (z**4 - 3*z**4 + 0*z**4)*(0*z - 2*z + 0*z)*(0 + 0 + 2) + (-2*z**3 - 3*z**3 + 4*z**3)*(1917*z**2 + 251*z**2 - 228*z**2). -1932*z**5 Expand -3*q**4 + 0*q**4 + 4*q**4 + (2 + 0 + 0)*(2*q - 1 + 1)*(5 - 5 + 3*q**3) + 0 + 0 + 2*q**4 + (2 - 1 + 0)*(23*q**4 - 18*q**4 + 56*q**4). 76*q**4 Expand -8*v**4 - v**4 + 8*v**4 + (-9*v + 3*v + 85*v**3 + 3*v)*(4*v + 0*v - 3*v). 84*v**4 - 3*v**2 Expand (-106 - 4080*f**2 + 284 - 176)*(-3 + 4 - 2). 4080*f**2 - 2 Expand (3 - 2*h**2 - 3 + (3*h - h + 0*h)*(-2*h + 2*h - 4*h))*(1582*h**2 - 798*h**2 - 791*h**2 + 9). 70*h**4 - 90*h**2 Expand (v**2 + 0*v + 0*v)*(-49715 - 31121*v**3 - 49709 + 99424). -31121*v**5 Expand -9*p**2 + 726*p - 12*p**4 - 727*p + 0*p**4 + (4*p**3 - 6*p**3 + p**3)*(0 + 0 + p). -13*p**4 - 9*p**2 - p Expand (0 + 0 - u)*(-5*u + 0 + 6*u - 2) + (186 - 71*u - 186)*(2*u - 4*u + u) - 3*u**2 + 5*u**2 - 4*u**2. 68*u**2 + 2*u Expand (-4 + 3 + 3)*((5*q - 3*q + 0*q)*(-1 + 0 - 1) - 46*q - 589 + 589 + (-q - 2*q + 2*q)*(3 - 2 + 1) - 2*q + 3*q - 2*q). -106*q Expand (-1 + 1 + 2*h**3)*(26512 - 206*h**2 - 26504 - 350*h**2)*(-1 - 1 + 0). 2224*h**5 - 32*h**3 Expand -3926*f**3 - 5718*f**4 + 7836*f**3 - 3910*f**3 + f**4 + 6*f**4 + 2*f**4 + (-4*f**2 + 2*f**2 + f**2)*(0*f**2 - f**2 + 0*f**2). -5708*f**4 Expand (581 + 67 - 111)*(3*y - y - y). 537*y Expand (2677*j**3 + 1359*j**2 - 1359*j**2 - 12449*j**3)*(-4*j - 2*j + 5*j) + 0*j**4 + 5*j**4 - 3*j**4. 9774*j**4 Expand (-24 - 31 - 18 - 10)*(27*c - 61*c - 29*c). 5229*c Expand (2*t - 7*t + t)*(3*t + 0*t - t)*(-45*t + 151*t**3 + 52*t - 152*t**3 + 16). 8*t**5 - 56*t**3 - 128*t**2 Expand (3 - 1 - 4)*(-2*l + 3*l + l) + (-65 + 66 + 39)*(-5*l + 5*l + 5*l) + 5*l - 2*l - l - l - 2 + 2. 197*l Expand (61621 - 61621 + 372*i**2)*(9 - 4*i**2 - 9)*(7 - 3 + 2). -8928*i**4 Expand (0*m**3 - 3*m**3 - 10*m**3)*(-8*m - 5*m - 40*m). 689*m**4 Expand (3*m + m - 5*m + (-7 + 2 + 3)*(m - 2*m + 3*m) + m + m - m - 3*m + 4*m + 3 - 2*m)*(-13 - 35 + 14)*(4 - 3 - 3). -340*m + 204 Expand (-c**5 + 0*c**4 + 0*c**4)*(-4 - 3 + 4) - 233*c**4 - 9*c**5 + 233*c**4 + 3*c**5 + 0*c**5 - 5*c**5 + 5*c**5 - 3*c**5 + c**5. -5*c**5 Expand (-4 + 0 + 3)*(5184513*y - 27*y**5 - 48*y**3 - 5184513*y). 27*y**5 + 48*y**3 Expand (-17 + 43 + 57)*(0 - 5 + 4)*(-3*n**2 + 0*n**2 + 4*n**2). -83*n**2 Expand (-3 - 15 + 8)*(1723 - 100*z**2 - 1723) - 3*z - 4*z + 2*z**2 + 2*z. 1002*z**2 - 5*z Expand (-3*b + 3*b + 7*b + (5 - 5 + 5)*(1 - 1 + b) - 6*b + 2*b + 3*b + b - 2*b + 2*b)*(1 - 8 - 2). -108*b Expand (-w**4 - 2*w**2 + 2*w**2)*((2 + 0 - 4)*(-3*w + 4*w - 2*w) + 12*w - 5*w - 4*w). -5*w**5 Expand (1 + 1 - 3)*(-22*v - 1 - 17*v - 46*v)*(64 + 67 - 34 + 30). 10795*v + 127 Expand (0 - 5 + 4)*(-227 + 702 - 241 - 235 + 5982*n). -5982*n + 1 Expand (-50*n + 3*n - 371 + 50*n)*((3 - 4 + 3)*(2 + 3 - 3) + 1 + 1 + 0 + 0 - 5 + 4 - 1 + 1 + 1). 18*n - 2226 Expand 3*w - 3*w + 2*w + (0*w + 2*w + 0*w)*(3 - 5 + 0) - 687*w - 565*w + 1345*w - 10*w - 4*w - 26*w. 51*w Expand (2*n + 3*n - 2*n)*(40*n - 70*n - 68 + 17*n + (-3 + 3 + 1)*(-2*n + 2*n - 2*n) + (2 + 3 - 3)*(5*n + 0 + 0)). -15*n**2 - 204*n Expand ((h**3 + 0*h**3 - 2*h**3)*(27 + 13*h - 27) + 0*h**2 + 0*h**2 - 4*h**4)*(-h - 2*h - 3*h). 102*h**5 Expand (-12 + 11 - 18)*(2 + 2*y - 2) + 95*y - 111*y - 139*y. -193*y Expand (2*x + x - 2*x)*(-772*x + 2465*x - 1319*x)*(3 - 3 + x**2). 374*x**4 Expand -457*d**2 + 2 + 36*d**2 - 193*d**3 + 188*d**3 + (-5*d + 2*d + 2*d)*(d**2 - d + d). -6*d**3 - 421*d**2 + 2 Expand -58*w + 58*w + 67*w**2 + (4*w - 5*w - w)*(2*w + w - w) + (-2*w + w - w)*(16 + 13*w - 16). 37*w**2 Expand 2*t**5 + 3*t**5 - 3*t**5 + (0*t**3 + t**3 - 2*t**3)*(7 - 7 - t**2) + (4*t**3 + 0*t**3 - 5*t**3)*(51 + 6*t**2 - 51) + t**5 + 0*t**5 + 0*t**5. -2*t**5 Expand (3*o**2 - 3*o**2 + o**2 + (2*o**2 - 2*o**2 + o**2)*(-6 + 2 + 1))*(-2206 - 85*o**2 + 2206). 170*o**4 Expand (-2*i - i + 2*i)*(2 - 17 - 36)*(0*i**4 + 6*i**4 + 2*i**4) + (-6*i**4 + 7 - 7)*(0 + 0 + 3*i). 390*i**5 Expand (-5 + 5 - 3)*(-222*q + 64*q + 26*q - 494*q). 1878*q Expand (2*u**2 + 3*u**2 - 3*u**2)*(7*u + 21*u + 12*u) + (3*u**2 + 3*u**2 + 0*u**2)*(-7*u - 2 + 2) - u**3 + u**2 - u**2. 37*u**3 Expand 3*m**2 - 3*m**2 + 8*m**2 + (0*m - m - m)*(-m + 1 - 1) - m**2 + 2*m - 2*m + (-15*m**2 + 3*m**2 - 3*m**2)*(3 + 2 - 4) - 3*m - m**2 + 3*m. -7*m**2 Expand (5*k**2 + 0*k**2 - 3*k**2)*(2839 - 746 + 3573). 11332*k**2 Expand (2 + 0 + 1)*(-1554*c - 376 - 374 + 750). -4662*c Expand (2 + 37*m - 71*m + 35*m)*(2 - 114*m + 62*m + 60*m). 8*m**2 + 18*m + 4 Expand (177*w + 44*w**2 - 177*w)*(-w + 0*w - w) + (-w**3 + 4*w**3 - 4*w**3)*(0 + 1 + 1) - 5*w**3 + 6*w**3 + 4*w**3 + (0*w**2 - 4*w**2 + 3*w**2)*(-1 - w + 1). -84*w**3 Expand k - k - k + (-4 + 11 - 59)*(4 - 8*k - 4). 415*k Expand (23 + 6889*g - 13766*g + 2*g**2 + 6892*g)*(-2*g**2 - 2 + 2). -4*g**4 - 30*g**3 - 46*g**2 Expand (7 - 1 + 12)*(-4*y + 0*y + 2*y) + (0*y + y + 0*y)*(6 + 5 + 7). -18*y Expand (f - f + 2*f**2)*(1 - 1 + 3) + f**2 + 4 - 4 + 235*f**2 + 82*f**2 - 120*f**2. 204*f**2 Expand ((-g**3 + 5*g**3 - 3*g**3)*(12*g**2 - 12*g**2 - 9*g**2) + (3 + 33*g - 3)*(4*g**2 + 2*g**4 - 4*g**2))*(-1 - 1 + 1). -57*g**5 Expand (m + 0*m + 2*m)*(50 + 520 + 265). 2505*m Expand (332*k - 601*k - 458*k)*(k - k - 3*k). 2181*k**2 Expand (28*l**3 + 916*l**2 - 545*l**2 - 371*l**2 + 542)*(0*l**2 + 5*l**2 - 3*l**2). 56*l**5 + 1084*l**2 Expand (-96 + 86 - 139)*(-2*w**2 - w + w) + (5*w + w - 5*w)*(-3*w + 4*w - 3*w). 296*w**2 Expand (-h**3 + 0 + 0)*(2*h**2 + 0*h**2 - 4*h**2) + 2*h**4 + 134677*h + h**5 + 20 - 134677*h + (2*h**4 - 4*h**2 + 4*h**2)*(-3*h + 4*h - 7*h). -9*h**5 + 2*h**4 + 20 Expand (l + 2*l + 2*l)*(-269 + 138 + 131 + 93*l)*(1 - 1 - l**2 + (2*l - 2*l + 2*l)*(0 + 5*l + 0)). 4185*l**4 Expand (-13*l**4 - 58*l**4 + 36*l**4)*(-3 + 6 - 4) + (-4*l + 9*l + 13*l)*(-4*l + 4*l - l**3). 17*l**4 Expand (-16 - 3*y + 15 - 8*y)*(-371 - 234 + 820). -2365*y - 215 Expand (2*i**2 - i**2 - 15*i**2)*(-747*i + 1276*i - 1032*i). 7042*i**3 Expand (681 + 14266*f - 1005 + 324)*(-3 + 1 + 3). 14266*f Expand x**3 + 2*x**3 - 4*x**3 + (-5 + 4*x**2 + 5)*(-1 - x + 1) + 3*x**2 - 3*x**2 - x**3 - 3*x**3 - 2*x**3 + 3*x**3 - x**3 - 4*x**2 + 4*x**2. -9*x**3 Expand (2 + 253*n + 531*n + 277*n)*(5 - 3 - 4). -2122*n - 4 Expand (-365 + 1021 + 880)*(-2*q**3 - q**4 + 2*q**3). -1536*q**4 Expand (29*z - 29*z + 5*z**3)*(-z - z + 5*z + (-4*z + 4*z + z)*(10 - 2 + 0)). 55*z**4 Expand 190*s + 511*s - 99*s + 0 - 2*s + 0 + (3 - 3 - 1)*(s - 2*s + 2*s). 599*s Expand (-30*d**2 + 40*d**2 + 11*d**2)*(57*d**2 + 115*d**3 - 57*d**2). 2415*d**5 Expand (-3 + 0 + 1)*(-b - 3*b + 5*b)*(-1 + 0 + 2) - 5 + b + 7 - 2*b - 6 + 6 + 8*b. 5*b + 2 Expand ((y + 0*y - 3*y)*(0 + 0 + 2*y) + 134 - 18*y**2 - 134)*(4 - 61*y**3 + 77*y**3 - 6). -352*y**5 + 44*y**2 Expand (-15 + 15 - 6*t**3)*(4*t - t**2 - 4*t) + 3*t**5 + 21*t**5 - 6*t**5. 24*t**5 Expand -4*y - 5*y + 6*y + (1 + 1 + 0)*(-5*y + 0*y + 3*y) + (1 + 0 - 3)*(-2 + 1 - 3)*(4 - 1 - 2*y - 5)*(22 + 14 - 68). 505*y + 512 Expand (-x - 20*x - 32*x)*((-1 + 2 + 1)*(-4 + 2 + 1) - 1 + 3 + 1 + 0 - 1 - 1)*(-3 - 3*x + 3). -159*x**2 Expand g**4
{ "pile_set_name": "DM Mathematics" }
1 + 219. Suppose 5*n - 4*h = p, n - 5*h - 4 = -1. What is the tens digit of n? 1 What is the units digit of (-53 + (-5 - -3))*-15 + 2? 7 Let v = 200 + 93. Suppose -4*r + v = -x, 0*r + 3*x + 295 = 4*r. What is the units digit of r? 3 What is the tens digit of (22/6 + -4)/((-3)/2133)? 3 Suppose s = 6*s - 280. Suppose -j = -32 - s. What is the units digit of j? 8 Let t(g) = 10*g**2 - g + 4. Let b(l) = -4*l**2 - l + 1. Let n be b(1). What is the tens digit of t(n)? 6 Suppose 58*l - 45*l = 38012. What is the tens digit of l? 2 Suppose -3*p + 1679 = -15592. What is the thousands digit of p? 5 Let a be 45 + (0 + 1)*(0 + 3). Let f = a + 72. What is the hundreds digit of f? 1 What is the hundreds digit of -12 - -17 - -1*743? 7 Let x(y) be the first derivative of y**4/4 + 19*y**3/3 - 13*y**2 - 9*y + 11. What is the hundreds digit of x(-20)? 1 Let t be 32/14 - 6/21. Suppose 102 = t*h + h. Suppose 46 + h = 2*g. What is the units digit of g? 0 Let o = 10 - 17. Let n(i) = 6*i - 6. Let z(l) = 9*l - 9. Let b(j) = o*n(j) + 5*z(j). What is the tens digit of b(6)? 1 Let u(c) = c**2 - 10*c - 10 + 5 + 16. Let f be 3*(-4)/(12/(-13)). What is the tens digit of u(f)? 5 Let x = -5 - 5. Let u = 28 + x. What is the units digit of ((-8)/10)/(u/(-45))? 2 Let i(v) = 194*v**3 - 4*v + 2. What is the thousands digit of i(2)? 1 Let h = -50 - -46. Let m = 25 - h. What is the tens digit of m? 2 Suppose c + 2*g - 3 = -2, g + 13 = 4*c. Suppose 0 = -c*z + 85 + 326. What is the hundreds digit of z? 1 Let k = -53 + 396. What is the hundreds digit of k? 3 Suppose -8*k + 195 + 157 = 0. What is the units digit of k? 4 Suppose f + 21*f - 6710 = 0. What is the hundreds digit of f? 3 Suppose 5*o - 2 = 2*a + 6, o + a - 3 = 0. Let v(l) = -5*l**2 + 3 + 3*l**2 + 2*l**o - 8*l**3 - 3*l**2. What is the units digit of v(-2)? 5 Let t(d) = d + 272*d**2 + 81*d**3 - 272*d**2 + 2. Let a be t(-1). Let s = -46 - a. What is the units digit of s? 4 Let m = -3 - -5. Suppose -142 = m*n - 4*n. Suppose -6*x + n = -43. What is the units digit of x? 9 Let y(l) = -7*l**2 - 27*l**3 + l**2 + 24*l**3 - 5*l**2 - 14. What is the hundreds digit of y(-6)? 2 Let d(b) = 3*b - 9. Let n be d(6). What is the tens digit of (-2)/n - 1967/(-63)? 3 Suppose -b = -2*f - 5*b + 18, -4*f + 9 = -b. Let v(u) = f + 6*u - 4 - 2*u - 3. What is the tens digit of v(7)? 2 Let h = -10 + 5. Let w be 6/h*110/(-33). Suppose 99 = w*u - 69. What is the units digit of u? 2 Let m = 3914 + -2681. What is the thousands digit of m? 1 What is the units digit of (-1 - -1076) + 5*(5 + -6)? 0 Suppose 550 = 13*y - 2*y. What is the units digit of y? 0 Suppose q + 3*f - 1 = 4*f, 0 = -q + 2*f - 1. Suppose q*u = -2*u + 70. What is the tens digit of u? 1 Suppose 3*c = w - c + 7740, 0 = -4*c. What is the tens digit of (-2)/(-8) + w/(-80)? 9 Let b(z) = 10*z - 12. Suppose -24 = -2*k + 6. Let f = k - 11. What is the units digit of b(f)? 8 Let d(p) = -31*p**2. Let h be d(1). Let b = 51 - h. What is the tens digit of b? 8 Let s = 90 - 85. Suppose y + y = 8. Suppose 0 = r + y - s. What is the units digit of r? 1 Let l be ((-6)/(-4))/(1/(-26)). What is the tens digit of -10 + 10 - (l + 0)? 3 Suppose -y = -k + 174, -4*y + 9 = -3. Suppose 0 = 3*f - o - 135 - k, 0 = -3*f - 2*o + 303. Let l = f - 73. What is the units digit of l? 0 Let s(w) = 6 - 21*w + 4 + 13*w. What is the units digit of s(-3)? 4 Let s be 22 + (2/3)/((-1)/3). Let n = s - 9. What is the units digit of n? 1 Let o(y) be the second derivative of -37*y**3/6 - 17*y**2 - 32*y. What is the hundreds digit of o(-5)? 1 What is the hundreds digit of -3*((-27680)/70 - 4/7)? 1 Let d(m) = -m**3 - 4*m**2 - 6*m - 7. Let j be d(-3). Suppose 4*n - j = 22. What is the units digit of n? 6 Let y(u) = 3*u - 1. Let l be y(1). Suppose -l*t = -3*q - 4, 5*t + 7*q = 2*q + 35. Suppose -h = 2*g - 132, -330 = -t*g - 0*g - 4*h. What is the tens digit of g? 6 Suppose 7*r - 140 = 2*r. Let d = -7 + r. Suppose 0 = -2*n - 5*m + d, -4*n + 4 = -5*m + 7. What is the units digit of n? 3 Let w(g) = 364*g**2 + 7*g + 6. What is the hundreds digit of w(-1)? 3 Suppose -4*x - 142 + 298 = 0. Let w = 156 + x. What is the tens digit of w? 9 Let d be (-2 + (1 - -12))/(3/(-45)). What is the tens digit of (-7)/28 - d/4? 4 Suppose -1006 - 14 = -12*x. What is the tens digit of ((-1768)/x)/(2/(-5))? 5 Suppose -3*d - 62 = 43. Let n = -29 - d. What is the tens digit of n/(-4) + 58/4? 1 Suppose 0 = n - 4*n + 12. Suppose d = 3*m + 9, -n = -3*m + 5*m. What is the units digit of (-5)/3*-1*d? 5 Let m be 21/((-1 - (-68)/80)*2). Let g = 120 + m. What is the tens digit of g? 5 Suppose 0 = -j + 4*o, -4*j + j + 22 = -o. Let f = j + -5. Suppose -z - 2 + 199 = 4*k, -k + f*z = -59. What is the units digit of k? 0 Let m be (-1 + (-681)/(-4))/((-4)/(-16)). Suppose -4*b + m = 5*k, 0*b = -b + 3. What is the units digit of k? 3 Let k be (10 - 4) + 1*-2. Suppose 3 = -k*h - f, 0 = 4*h + 2*f - 5*f + 7. Let r = 3 - h. What is the units digit of r? 4 Let t(s) be the first derivative of s**3/3 - 2*s**2 + 6*s + 1. Let w(d) = d**2 - 14*d + 18. Let z be w(13). What is the units digit of t(z)? 1 Let y(g) = -3*g - 4. Let b be y(-3). Suppose 24 = 3*f + 3*w - 96, 0 = b*f - 3*w - 192. Suppose f*x - 34*x = 360. What is the tens digit of x? 7 Suppose -28*s = -30*s + 2160. Suppose z + a = 4*z - 640, -5*z - a + s = 0. Suppose 0 = 3*k - 4*d - z, -216 = -2*k - k + 3*d. What is the tens digit of k? 7 Let k = -3 - -3. Let s(x) = -2*x + 47. What is the tens digit of s(k)? 4 Suppose -86800 = -50*l - 0*l. What is the units digit of l? 6 Suppose -1348 = -13*r + 4411. Suppose -71 = 3*m - r. What is the hundreds digit of m? 1 Let n = 32 - 30. Suppose -f = -n*f - 4, -t + 56 = -4*f. What is the units digit of t? 0 What is the hundreds digit of ((-2283)/4)/(0 - 3/8)? 5 Let m(a) = 2*a**2 - 2*a - 2. Let c be m(-2). Let x be (c/(-2) + -2)*4. Let l = -4 - x. What is the units digit of l? 4 Suppose -c + 2*a = -0*c + 75, -3*c - 216 = 3*a. Let m = c - -146. Let p = -43 + m. What is the tens digit of p? 3 Let i be (-138)/6*11/(-1) - -1. Suppose 3*z = -80 + i. What is the units digit of z? 8 Suppose -3*n + 1358 = -0*n - 2*o, 2*n = 2*o + 904. What is the tens digit of n? 5 Suppose -h + 2*h = 4*v + 245, 3*v + 780 = 3*h. What is the tens digit of h? 6 Let t be (-16 - -22)*(-4)/(16/(-30)). Suppose -2*v = -197 - t. What is the hundreds digit of v? 1 Suppose 4*t - 102 = -2. Let f be 222/10 + (-5)/t. Suppose -5 = a - f. What is the units digit of a? 7 Let d = 1 + 0. Suppose -5*i - 45 = -2*q - d, -3*q + 38 = -4*i. What is the units digit of 1/(i/3 - -3)? 3 Suppose 16*b - 9250 = 6*b. What is the tens digit of b? 2 Let v = 1045 + 347. What is the hundreds digit of v? 3 Let g = 4 + -4. Let n = 43 - 33. Suppose 5*k - n - 30 = g. What is the units digit of k? 8 Suppose j + 4*j - 1778 = -4*x, -3*j - 1762 = -4*x. What is the units digit of x? 2 Let n(t) = 2*t**2 - 126*t - 292. What is the units digit of n(72)? 4 Let m(g) = 8*g - 3*g + 5 - 4*g + g + 8*g**2. What is the tens digit of m(-3)? 7 Suppose -3*z - 8 = -0*i + i, -24 = -z + 5*i. Let l(t) be the second derivative of 31*t**4/12 - t**3/6 - t**2/2 + 2*t - 8. What is the tens digit of l(z)? 3 Suppose -2*i + 1888 = 604. What is the tens digit of i? 4 Let i = 325 + 1190. What is the thousands digit of i? 1 Suppose -228 = -4*t + 108. Suppose -144 = -5*x - 3*b, -3*x + t = -b + 4*b. Let p = x + -20. What is the tens digit of p? 1 Let j = 10 - 10. Suppose -5*y + 420 = -j*y. Suppose 3*c + 5*t - 45 - 16 = 0, -4*t + y = 4*c. What is the tens digit of c? 2 Suppose -3*o - 13 = -g, -3*g = -3*o + o - 18. Suppose -z + 4*z + 67 = 5*c, 0 = 3*c + g*z - 17. What is the units digit of c? 1 What is the tens digit of (-378)/(-12)*(3 - (-23)/3)? 3 Let b be ((-4)/2)/(6 + -4). Let s = b - -25. Suppose 2*a = 4*p - s - 18, -3*p + 28 = 2*a. What is the units digit of p? 0 Let v(w) = 129*w**2 + 24*w - 12. What is the tens digit of v(-3)? 7 Suppose -18 = -2*m - 4. Suppose 4*x + 78 = m*x. Let b = x - 18. What is the units digit of b? 8 Let q(n) be the third derivative of n**4/24 + 35*n**3/6 + 7*n**2. What is the units digit of q(-10)? 5 Suppose 0 = -b - 2*q - 2*q + 15, -5*q + 12 = b. Let s = b + -25. What is the units digit of s? 2 Let k(x) = 6. Let b(r) = r + 1. Let t(i) = -12*b(i) + k(i). What is the hund
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
(d) = d**2 - 1. What is b(x) - 3*s(x)? -x**2 - 3 Let u(p) = -11*p - 3. Let h(k) = 44*k + 11. Calculate -2*h(t) - 9*u(t). 11*t + 5 Let x(p) be the first derivative of -p**4/4 + p**2/2 - p - 140. Let b(n) = -2*n**3 + 4*n - 5. Give -b(c) + 4*x(c). -2*c**3 + 1 Let k(d) = 2*d + 383. Let p(u) = -3*u - 376. Give 5*k(w) + 4*p(w). -2*w + 411 Let k(u) = -5*u - 3. Let h = 167 + -164. Let p be (1/2)/(2/(-4)). Let w(c) be the third derivative of -c**4/24 - c**3/6 + c**2. Calculate h*w(t) + p*k(t). 2*t Let w(z) = 6*z**2 + 7*z + 11. Let b(v) = -10*v**2 - 10*v - 17. Let q(s) = -5*b(s) - 8*w(s). Let n(j) = -4*j**2 + 11*j + 6. Determine -6*n(o) - 11*q(o). 2*o**2 - 3 Let n(g) = -g**2 + 9*g + 1. Let l(m) = 4*m + 1. Let w(i) = -i**2 - 3*i + 38. Let s be w(-8). What is s*n(z) + 5*l(z)? 2*z**2 + 2*z + 3 Let z(s) = -s**2 + 18*s + 12. Let r be z(24). Let a = -64 - r. Let h(l) = 2*l - 3. Let t(v) = 22*v - 34. What is a*h(i) - 6*t(i)? 4*i Let k(c) = c - 7. Let p be k(8). Let i(f) = 3 + 0*f**2 + 4*f**2 + p - f**2. Let q(o) = -3*o**2 - 3. Calculate -3*i(s) - 4*q(s). 3*s**2 Let c(g) = -249*g - 6. Let r(a) = 2. Give -c(p) - 4*r(p). 249*p - 2 Let t(d) = -5*d**2 - 11*d + 7. Let z(b) = 4*b**2 + 2*b + 2. Let q(w) = -23*w**2 - 12*w - 11. Let a(j) = -6*q(j) - 34*z(j). Give 11*a(n) + 4*t(n). 2*n**2 + 6 Let s(a) = a**3 + 4*a**2 + 3*a + 3. Let d be (3/(-5)*-17)/(2/(-10)). Let m = -47 - d. Let w(k) = -k**3 - 3*k**2 - 2*k - 2. Determine m*w(y) + 3*s(y). -y**3 + y + 1 Let a(d) = -27*d + 383. Let m(z) = 5*z - 77. Give 2*a(t) + 11*m(t). t - 81 Let m(z) = 7*z**3 - 2*z**2 + 6*z + 1. Let c(r) = 8*r**3 - 3*r**2 + 7*r. Determine 3*c(k) - 4*m(k). -4*k**3 - k**2 - 3*k - 4 Let y(b) = -5*b - 6. Let s(c) = 15*c + 18. Let i(o) = -3*s(o) - 8*y(o). Let j(n) be the first derivative of 2*n**2 + 5*n - 908. Calculate 5*i(z) + 6*j(z). -z Let t(d) = -8*d**2 + 5*d. Suppose -4*u = -30 + 10. Let k(n) be the first derivative of -11*n**3 + 21*n**2/2 + 484. What is u*k(h) - 21*t(h)? 3*h**2 Let l(t) be the first derivative of t**2/2 - 131. Let o(n) = -2*n - 2. What is 5*l(k) - o(k)? 7*k + 2 Let h(m) = 4*m + 5. Let y(t) = -7*t - 9. Let r be 2/(-4) + 21/(-18)*-3. Suppose 5*o - 29 + 0 = -4*u, r*o - 5*u = 10. Give o*h(k) + 3*y(k). -k - 2 Let q(t) = 6*t**2 + 30*t + 34. Let a(v) = 3*v**2 + 14*v + 17. Give -13*a(d) + 6*q(d). -3*d**2 - 2*d - 17 Let b(x) = -151*x**2 + 18*x + 11. Let w(v) = -75*v**2 + 10*v + 6. Calculate 6*b(q) - 11*w(q). -81*q**2 - 2*q Let f(a) = 11*a**2 - 8*a - 23. Let g(k) = -5*k**2 + 4*k + 10. Calculate -2*f(z) - 5*g(z). 3*z**2 - 4*z - 4 Let w(q) = q**2 - q**2 - 7*q**2 - 6*q**2. Let c(g) = 20*g**2. Give -5*c(o) - 8*w(o). 4*o**2 Let d(u) = -10*u - 34. Let j(b) = 2*b. Calculate d(p) + 6*j(p). 2*p - 34 Let j(n) = 101*n - 2. Let g(i) = 5050*i - 101. What is -2*g(t) + 101*j(t)? 101*t Let t(k) = k**3 - k**2 + k + 1. Let r(u) be the second derivative of -3*u**5/5 + 2*u**4/3 - 4*u**3/3 - 4*u**2 + 230*u + 2. Give -r(x) - 8*t(x). 4*x**3 Let m(p) = 4*p**2 + 11*p - 6. Let o be -11 + ((-45)/9 - -3). Let t(j) = 2*j**2 + 5*j - 3. Calculate o*t(x) + 6*m(x). -2*x**2 + x + 3 Let u(s) = -s - 1. Let p(x) = -5. Let r(a) = 28. Let v(i) = -5*p(i) - r(i). Calculate -u(c) + v(c). c - 2 Let g(b) = -10*b**2 - 5*b + 21. Let d(c) = 3*c**2 - 6*c - 56. Let p be d(5). Let r(n) = 2*n**2 + n - 4. Let o be (0 + -2)*(0 - -1). Determine o*g(i) + p*r(i). -2*i**2 - i + 2 Let d(y) = -72*y + 9. Let r(a) = 72*a - 17. Calculate 3*d(h) + 2*r(h). -72*h - 7 Suppose 0 = 4*v - 2*o - 2*o + 28, -3 = v - 2*o. Let z(j) = -5*j**2 - 6*j - 3. Let a(s) = -14*s**2 - 17*s - 8. What is v*z(t) + 4*a(t)? -t**2 - 2*t + 1 Let b(r) be the first derivative of -3*r**2 + 5*r - 139. Let o = 4 + 1. Let m(q) = 7*q - 6. What is o*m(h) + 6*b(h)? -h Let w(r) = -2*r**2 - 9*r - 7. Let a(h) = 3 + 4*h + 16*h**2 + 15*h**2 + 14*h**2 - 44*h**2. Determine 7*a(l) + 3*w(l). l**2 + l Let a(s) be the first derivative of 0*s**3 + 5/4*s**4 + 5/2*s**2 + 3*s - 18. Let b(y) = 11*y**3 + 11*y + 7. What is -7*a(i) + 3*b(i)? -2*i**3 - 2*i Let k(j) = -11*j**2 - 14*j - 34. Let n(o) = -4*o**2 - 4*o - 12. Determine 6*k(r) - 17*n(r). 2*r**2 - 16*r Let y(s) = 11*s + 6. Let m(u) = 260*u + 310. Let f(o) = -46*o - 55. Let b(n) = -45*f(n) - 8*m(n). Determine 4*b(j) + 3*y(j). -7*j - 2 Let u be (69/(-9) - -7)/((-4)/6). Let q(j) = 4*j + 4. Let w(g) = g**3 + g + 1. Calculate u*q(s) - 4*w(s). -4*s**3 Let i = -14 + 3. Let r(j) = 2*j - 15. Let z(n) = -n + 8. Let a(b) = -b**3 + 14*b**2 + 2*b + 189. Let t be a(15). Calculate i*z(d) + t*r(d). -d + 2 Let y(d) = 8*d + 1. Let u(k) = 19*k + 2. Calculate -4*u(h) + 7*y(h). -20*h - 1 Let v(s) = -5*s + 8. Let z(j) = -2*j + 3. Let b = -24 - -37. Suppose -212 = 10*p + 808. Let y be (-22)/(-143) - p/b. What is y*z(l) - 3*v(l)? -l Let o(x) = -x - 1. Let d(s) be the second derivative of 5/2*s**2 + 2/3*s**3 + 25*s + 0. What is 3*d(z) + 15*o(z)? -3*z Let z(t) = -5. Let a(u) = -17. Let q(s) = -2*a(s) + 7*z(s). Let r(i) = 3*i - 6. Give -9*q(p) + r(p). 3*p + 3 Let z(t) = -2*t - 95. Let j(q) = 3*q + 98. Calculate 5*j(g) + 6*z(g). 3*g - 80 Let q(x) = 3*x**2 + 4*x - 5. Let h(i) = -6*i**2 - 7*i + 9. Suppose 4*d - 83 + 65 = -2*v, 0 = 2*d + 3*v - 11. Calculate d*h(p) + 7*q(p). -3*p**2 + 1 Let c(i) = i**3 - 25*i**2 + 82*i + 45. Let b be c(21). Let o(h) = 40*h. Let l(d) = -13*d. Give b*o(t) + 10*l(t). -10*t Let h(b) = -b**2 - 4. Let d(p) = p**3 - 2*p**2 - 2*p + 3. Let t be d(3). Suppose -11*x = -t*x - 10. Let q(u) = -u + 1. Give x*q(y) + h(y). -y**2 - 2*y - 2 Let x(c) = 689*c**3 - 10*c**2 + 10. Let j(q) = -q**3 - 2*q**2 + 2. Calculate 5*j(v) - x(v). -694*v**3 Let k(u) = -15*u - 142. Let t(d) = -2*d + 2. Give -k(w) + 6*t(w). 3*w + 154 Let a(l) = -3*l - 7. Let o(h) be the third derivative of h**4/12 + h**3 + 83*h**2. Determine -4*a(j) - 5*o(j). 2*j - 2 Let i(a) = -4*a. Let u = 28 - 35. Let t(l) be the first derivative of l**2/2 + 32. What is u*t(y) - 2*i(y)? y Let t(h) = h - 6. Let b(q) = -10*q + 41. Let m(g) = b(g) + 6*t(g). Let k(y) = -8*y + 9. Determine -3*k(d) + 5*m(d). 4*d - 2 Let h(v) = -978*v**2 + 489*v - 978. Let r(i) = -i**2 + i - 2. Give h(n) - 489*r(n). -489*n**2 Let n be (1*7/(-1))/1. Let s(o) = -4*o. Let m(h) = -16*h + h + 2*h + 0 - 5. Let g(v) = -1. Let t(p) = 5*g(p) - m(p). Determine n*s(r) - 2*t(r). 2*r Let z(c) = -2*c - 1. Let w(x) = x. Let p(y) = 10*w(y) + 2*z(y). Let h(o) = -5*o + 2. Give -3*h(g) - 2*p(g). 3*g - 2 Suppose 6 = -o + 5. Let f be (-5 + 6)/(o/3). Let x be (4 + 9/f)/1. Let j(y) = 8*y**3 - 6*y**2 + 6. Let u(r) = r**3 - r**2 + 1. Calculate x*j(q) - 6*u(q). 2*q**3 Let y be (1/3 + -1)*3. Let g = 170 + -176. Let u(t) be the first derivative of t**3/3 + t + 64. Let j(p) = -p**2 - 3. Give g*u(b) + y*j(b). -4*b**2 Let n(z) = 21*z**2 - 1. Let s(p) = 5*p**2 + 3 + 323449*p - 3 - 323449*p. Let k(q) = q**3 + 4*q**2 - 6*q - 3. Let g be k(-5). Calculate g*n(v) - 9*s(v). -3*v**2 - 2 Let i = 116 + -115. Let s(n) = n + i + 1 - n - 5*n. Let y(p) = 2*p - 1. Give -4*s(h) - 11*y(h). -2*h + 3 Let c(g) = g**2 - 6*g**2 + 2*g**2. Suppose -3*b + 91 = 4*b. Let m = -10 + b. Let x(l) = l**3 + 2*l**2. Determine m*x(z) + 2*c(z). 3*z**3 Let n(p) be the first derivative of 3*p**2/2 + 13*p + 3. Let t(z) = 18*z - 2. Let r(c) = 29*c - 2. Let m(i) = 5*r(i) - 8*t(i). Give -13*m(f) + 6*n(f). 5*f Let r(t) = 21*t**2 - 7*t + 3. Let c(o) = o**2 - o + 3. Calculate -c(a) + r(a). 20*a**2 - 6*a Let i(b) = 3*b**2 - 4 - b - b + 6*b. Suppose 4*r - 9*r + 15 = 0. Let k(w) = 3 + w - 2 - w**2 + w - r*w. What is -i(c) - 4*k(c)? c**2 Let n(p) = -10*p - 2. Let l(g) = 9*g + 3. What is -7*l(a) - 6*n(a)? -3*a - 9 Let d(x) = -59*x + 8. Let g(o) = 51*o - 9. Determine 4*d(b) + 3*g(b). -83*b + 5 Let o(s) = 2. Suppose 26*z + 4 = 28*z. Let b(l) = 69*l + z - 144*l + 4 + 74*l. Determine 3*b(q) - 8*o(q). -3*q + 2 Let z(u) = -u + 4. Let k(r) = -6*r + 27. Let d(a) = -3*a + 14. Let o(h) = -5*d(h) + 3*k(h). Let q = 5 - 4. Let t be 11/2*q*-2. Calculate t*z(g) + 4*o(g). -g Suppose 0 = 2*m - 5*a + 8 - 3, -30 = -4*m + 2*a. Let i(z) = -4*z + 5 + 2*z - 1 - 2. Let x(c) = -6*c + 6. Calculate m*i(u) - 3*x(u). -2*u + 2 Let n(b) = 6*b**2 - 6*b - 7. Let w(t) = -12*t**2 + 11*t + 13. Let d be (0 + -5)*((-1)/5 + -2). Give d*n(u) + 6*w(u). -6*u**2 + 1 Suppose h = 0, -h + 12 = -4*k - 6*h. Let r(m) = 4 - 2 + 0 + 3*m. Let v(y) = -3*y - 2. Determine
{ "pile_set_name": "DM Mathematics" }
is the second smallest value? (a) -10 (b) -5 (c) j b Let y be 2509/(-169) + (-1)/((-13)/(-2)). Which is the third smallest value? (a) y (b) 0.3 (c) 1/2 (d) 0.05 b Let f(u) = 15*u + 69. Let j(h) = -10*h - 46. Let r(i) = 5*f(i) + 7*j(i). Let o be r(-5). Which is the smallest value? (a) 0 (b) o (c) -1 b Let y = 22.1 - 22.3. Which is the third biggest value? (a) -14/9 (b) y (c) -1/6 (d) 3/5 b Let w be (-1)/((-70)/(-486)) - -7. What is the third biggest value in w, 4, -4/3? -4/3 Let r = -456 - -455.9. Which is the second biggest value? (a) -10 (b) 1/4 (c) -2 (d) r d Let h = 0.29 - -1.41. Let m = h + -1.7. Suppose 0 = 4*o - 1 - 11. What is the third smallest value in m, -5, o? o Let j(t) = t**2 + 20*t - 37. Let n be j(-22). Which is the second smallest value? (a) 5/26 (b) 0.3 (c) n b Let s = -33 - -33.4. Let v = s - 0.36. Which is the third smallest value? (a) -3 (b) -5 (c) v c Let l be (20 - 18)/(-2 + (-1)/2). Which is the fourth biggest value? (a) 2/7 (b) l (c) 5 (d) -2 d Let g = 507 - 503. What is the third smallest value in -15, g, 5? 5 Let y = -36.4 + 38. Let z = 2 - y. Let w = 8 - 7.7. What is the biggest value in -1, z, w? z Let c = 16.894 + 0.106. Let l = 13.53 - -3.53. Let i = c - l. What is the biggest value in i, -2/3, -1/5? i Let t = -0.39 + -49.61. Let o = -50.2 - t. Which is the second biggest value? (a) -1/7 (b) -3/5 (c) o c Let s = -86.5 - -86. Which is the second biggest value? (a) 4 (b) s (c) 0.2 (d) -8 c Let a be 1736/(-36) + 4/18. What is the smallest value in a, -0.2, -3, -0.5? a Let b = -5834/3 + 1944. What is the third smallest value in -3, b, -110/9? b Let u be (176/(-440))/(-6*2/(-10)). Which is the third biggest value? (a) 1/40 (b) -2 (c) u b Suppose -y - s + 1 = 0, 0*s = -4*y + s + 9. Which is the fourth biggest value? (a) 1/4 (b) 14 (c) 5 (d) y a Let t = 69 - 63.6. Let g = -5.3 + t. What is the third biggest value in 1/3, -2/11, g, -5? -2/11 Suppose -y - 4*j - 15 = -6, 4*y + 5*j = -3. Let c be 0 - -1 - (y/9)/1. What is the smallest value in 4, c, -5, 3? -5 Let k = 0.08 - 5.08. Let g = 4.5 + k. What is the second biggest value in 0.1, 2/9, g? 0.1 Suppose a + 4*a + 31 = 4*h, 2*a = -4*h + 66. Let q be (11 - h) + (60/27 - -1). What is the biggest value in q, -1, 4, -2? 4 Suppose 0 = 3*q - 2*q. Let t(x) = 17*x + 128. Let y be t(-7). Which is the fourth biggest value? (a) y (b) 2/11 (c) 1 (d) q d Let i be (-15)/180*(-3)/(-1). Which is the fourth smallest value? (a) -1/2 (b) i (c) -7 (d) -5/3 b Let w = 63.76 + -58.9. Let t = -0.14 - w. Which is the third biggest value? (a) -0.1 (b) -1 (c) t c Let y = -2 - 4. Let o = -5 + 0. What is the biggest value in o, y, 0.1? 0.1 Let a = -733 + 721. What is the second biggest value in 1/6, a, -19? a Suppose 44*h - 45 + 89 = 0. What is the third biggest value in -0.1, h, -25, 1/5? h Let q be 2/3 + 9736/66. Let t = 148 - q. Let w(r) = r**3 + 4*r**2 - 12*r - 2. Let k be w(-6). What is the third smallest value in k, t, -1? t Suppose o + 36 = -3*z + z, -o + 44 = -3*z. Let c be ((-2)/(-68))/(z/(-64)). What is the third biggest value in 1/2, -2/3, c? -2/3 Let h = -94 - -85.6. Let p = h + 2.4. Which is the third smallest value? (a) -2/15 (b) 5 (c) p b Let d = 3.2 - 0.2. Let x be -1 - 2 - (0/2 - 3). Let k be (12 - (x - 1)) + (11 - 14). Which is the smallest value? (a) d (b) k (c) 1 c Let j = -29 + 31.6. Let r = j - 2.5. Which is the biggest value? (a) -0.2 (b) r (c) 0.5 (d) -4 c Let d = -723.3 - -723. Which is the biggest value? (a) -0.07 (b) 4 (c) d b Let b = 2675.8 + -2677. What is the fourth biggest value in 1/4, b, 4, -3? -3 Let v = -2 + 7. Let s(l) = -21*l + 207. Let n be s(10). Which is the second smallest value? (a) v (b) -5 (c) n c Let l(x) = x**3 + 13*x**2 - 4*x - 48. Let q be l(-13). What is the second biggest value in 2/13, -2, q, -19? 2/13 Let f = 4557.95 + -4380. Let a = f + -174. Let r = -0.05 - a. What is the second biggest value in -3/5, 0, r? -3/5 Let g be (-12)/(-150)*60/(-12). Which is the biggest value? (a) 5 (b) -1 (c) -0.09 (d) g a Let f = 0.1114 + 171.5886. Let a = 193 - f. Let r = 21 - a. What is the third biggest value in r, -2/15, -2/11? r Suppose 0 = 3*g - 5*g - 6. Let l = 0.204 - 1.824. Let d = l - -1.69. Which is the third smallest value? (a) g (b) 5 (c) d b Let i = -0.62 - -0.22. Which is the biggest value? (a) i (b) 2/17 (c) -2 b Let y = -301/261 - -27/29. Which is the second biggest value? (a) 3 (b) 5/11 (c) y b Let q = 4.2 - 4. Let s be 6/(-26)*(-9)/27. Let p be 4*-4*6/(-32). What is the third smallest value in q, p, s? p Suppose 36*z - 2200 = -14*z. Which is the smallest value? (a) z (b) 0.3 (c) 0.2 (d) -4/7 d Let s = -33 + 32.89. Let j = 0.09 - s. What is the third biggest value in 0.3, 0, j? 0 Let t = 2.77 - -0.23. Let r = 1 + 4. Suppose 0 = 2*f + 4 + 12. Which is the biggest value? (a) t (b) r (c) f b Let c = 43.74 + -44. Let w = 0.04 - c. What is the second biggest value in 0.5, w, 2/19? w Let s be (9/12 + -3)/3. Suppose 43*k - 45*k - 8 = 0. Which is the third smallest value? (a) k (b) 2 (c) s b Let c = -55 + 61.6. Let x = c + -0.6. Let o be (-3)/102*72/18. What is the smallest value in x, o, -2/5? -2/5 Let g = -150.6 + 132. Let l = g + 11.6. Which is the third biggest value? (a) l (b) -5 (c) -1 a Let x(r) be the first derivative of r**2 + 3*r - 4. Let l be x(-5). What is the biggest value in l, -2/5, -0.2? -0.2 Let x = 0.4 - 0.35. Let h = -2 + 14. Let l = -11.7 + h. Which is the biggest value? (a) -1 (b) x (c) l c Suppose -5*b + 12 = -3. Suppose -5*j - 5 = 5*s, 6 = -4*s - 0*j - b*j. Let a = 1598 + -1592. What is the second biggest value in a, 0, s? 0 Let w be 3 + 402/(-30) - -10. What is the second smallest value in -2, w, 0.01? w Let c = 0.04 - 0.07. Let x(u) = 2*u**3 + 15*u**2 - 72*u + 55. Let n be x(-11). What is the second biggest value in n, c, 4? n Let n = 6 - 16. Let a = 5.2 - 4.2. What is the third smallest value in a, 3, n? 3 Let b = 4.8 - 4. Let m = 0.16 + 0.04. Let d = m + b. What is the biggest value in 0.5, -4, d? d Let h be (27/4)/(-3)*(-16)/12. What is the second smallest value in 1.06, 2, h? 2 Let i = 26.4 - 26.7. What is the second biggest value in -5, i, 2/11? i Let f be 1/(-2)*(-2)/5. Suppose 5*c + 4*l = 5*l - 10, 4*l = -5*c + 15. What is the second smallest value in c, -1/7, -2/3, f? -2/3 Let t be (2/4)/((-24)/108). What is the second smallest value in -3/5, -0.5, 0.4, t? -3/5 Let s be -3 - -4 - (-16)/32. What is the biggest value in 2, s, -1/4? 2 Suppose 5*j - 180 = 5*p, 176 = -5*p + 25*j - 21*j. What is the third smallest value in p, -1, 0.4? 0.4 Let b be (-56)/126*3/2. What is the third biggest value in -4, 4, 2, b? b Let m = -247.5 + 248. What is the third biggest value in -0.5, m, 5/2? -0.5 Let i = 88 - 262/3. Let q = 27.3 + -27.3. Which is the second biggest value? (a) q (b) i (c) 3/7 c Let w = -0.32 + 0.22. What is the second biggest value in 4/7, 2/21, w, -0.2? 2/21 Let x = -571 + 568. What is the third smallest value in 1/5, x, 0.6? 0.6 Let o(k) be the first derivative of 3/2*k**2 - 2/3*k**3 + 1/4*k**4 - 3 - 4*k. Let y be o(2). What is the smallest value in -6, -3, y? -6 Let h be 1656/1080 - (-1 + (-14)/(-6)). Let i = -2.97 - 0.03. What is the smallest value in h, 4, i? i Let p = -652/7 - -93. Let d be ((-10)/210)/((-3)/(-18)). Which is the second biggest value? (a) d (b) -0.1 (c) p c Let o = -1 - 7. Let j be ((-9)/12)/((-15)/o). Which is the fourth biggest value? (a) -0.2 (b) -3 (c) -0.09 (d) j b Let f = -6199 - -322329/52. Let o = f - -3/26. What is the fourth smallest value in -3, -4, o, 4? 4 Let i = 10.89 - 11. Let m = -0.09 + i. Let l = 4 - 5. Which is the biggest value? (a) l (b) m (c) 2 c Suppose 193*f = 180*f. What is the smallest value in f, 2/11, -7/11? -7/11 Let g be (-4)/6 + 10 + 1410/(-153). Which is the biggest value? (a) g (b) 21 (c) -0.3 b Let s = -405 + 402. Which is the third biggest value? (a) -1 (b) s (c) 7 b Let u be ((-2)/4)/(1/3). Let f = 5.1 + -1.1. Which is the third smallest value? (a) 4/5 (b) u (c) f c Let t = -151 + 148. What is the third smallest value in 4/7, t, 6, 11? 6 Let t = -4 - -6. Let o be -2 + (t - 12/(-21)). Let v = -15 - -10. Which is the third biggest value? (a) 0.5 (b
{ "pile_set_name": "DM Mathematics" }
-24)/(-84)*-2*1 -4/7 What is the value of ((-462)/1078)/(3/4)? -4/7 2*-1*(123 + -112) -22 Calculate 40/(-8) + 1 + (5 - 18/16). -1/8 What is (-18)/22*(7 + 1 - (-180)/(-27))? -12/11 What is ((-1)/104*-26)/(6/(-24))? -1 Evaluate (-133)/57*3 - (123/(-24) - 2). 1/8 Calculate (78/208 - (-1)/(-8))/(17/(-748)). -11 21456/(-1296) + ((-42)/(-27) - (6 + -4)) -17 Evaluate -13 + 1 + -2 + (42/(-14) - -13). -4 6/(-10) - 125216/5590 -23 What is -4 - (-175)/(-49) - -7 - (-2)/(-7)? -6/7 What is (609/588 + 18/(-14))/(1/(-88))? 22 Calculate 20/10 + (-16)/4 + -6. -8 Evaluate 12/(-45)*165/462. -2/21 What is 8 + 7/(-2)*(2 - 0)? 1 Evaluate 19 - (-5742)/(-162) - -16. -4/9 What is the value of (18/36)/(26/508) + (-470)/47? -3/13 What is (-132)/(-165) + ((-45)/25)/(-9)? 1 Evaluate 20/(-14) - (-29 - 21812/(-784)). -1/4 What is (-1)/1 - (1767/(-31) - -52)? 4 Evaluate (-35)/63*12/4*(-2223)/285. 13 What is the value of (-10 + 14 - 3)/(-7 + 0/1)? -1/7 What is the value of (((-13)/(-3) - 3) + -2)/(-180 + 182)? -1/3 Evaluate (-2)/8*(42 + 182/(-13)). -7 Calculate 31/(-62)*(-68 + 10). 29 What is the value of (-13 + 575/50)/((-6)/(-4))? -1 What is the value of (14 - 9) + -4 - (38/(-7) + 6)? 3/7 What is 2/11 - (45/(-3) + (-17342)/(-638))? -12 What is ((-36)/(-21))/(((-2436)/(-56))/29)? 8/7 What is (-53)/159 - (-34)/(-6)? -6 What is (-15)/(-10) + 0 - 28/(-8)? 5 Evaluate 208/36*(-891)/(-396). 13 10 + 37/(629/(-442)) -16 What is 0 + 30 - ((-63)/36)/(112/(-192))? 27 What is 1452/(-88) - (-22)/4? -11 Calculate 183/671 - 5/(-385). 2/7 What is ((-3)/9)/(-4 - 112/(-24))? -1/2 Calculate ((-6851)/682 - 24/(-44)) + (-2)/(-4). -9 What is the value of (-192)/(-231) - 125/(59125/258)? 2/7 Calculate 2*6/(-56)*(-14)/(-12). -1/4 ((-99)/18 + 6)*(-1)/((-35)/10) 1/7 Evaluate -25 - 227/(-16) - -11. 3/16 Evaluate 1*20/(-63) - 560/(-5880). -2/9 What is the value of (747/2241)/(1 - 1/12)? 4/11 What is (-1 + (-12)/(-9))/(-1*(-18)/1242)? 23 Evaluate ((-36)/32)/((-252)/1344). 6 Calculate (-392)/(-833)*51/6. 4 What is the value of 60/78 - (-9075)/(-1573)? -5 What is the value of 2/(-12) - (-5584)/14658? 3/14 What is (-424)/(-840) - ((-38)/(-42) - (0 - -1))? 3/5 Evaluate (-101)/7 + (-210)/(-147). -13 Evaluate (-8)/(-4)*1 - 144/99. 6/11 Evaluate (105/(-60))/((-6)/12). 7/2 What is the value of (54/21)/(36/(-42)*-15 - 13)? -18 Evaluate (17 + 1242/(-72))*-19. 19/4 What is (1/(-8))/((-9)/(-54)*363/22)? -1/22 Calculate ((-155)/186 - 2/12)*-9. 9 What is the value of (2/24)/(28/336)*(-27)/3? -9 What is the value of ((-25)/50)/(2/(-32)) + 1 + 1? 10 What is the value of (-9630)/(-1890) - (-2)/(-21)? 5 Evaluate (-17187)/1011 + -1 + (1 - -1 - -8). -8 Evaluate (-1229)/(-2458)*22/(-4). -11/4 Evaluate ((-1426)/774 - -1) + (-40)/860. -8/9 What is the value of 744/(-36) + 11 + (-1)/((-6)/(-8))? -11 Evaluate ((-63)/(231/11))/3. -1 Evaluate (-28 - -18) + 15 - -14. 19 Calculate (-66)/(-44)*(-8)/4. -3 What is (-124)/(-14) - (40/14 - 3)? 9 Calculate ((-19)/3 - (-67 + 62))*6. -8 What is (3/(-2))/(186/(-496)) - 0? 4 (-1)/(5/(-9))*(57/(-18))/(-19) 3/10 Evaluate 17/(-19 + 2)*17*(-5)/(-5). -17 -23 + (-725)/203*-7 2 Evaluate (-24)/(-48)*(1/(-8) + 297/968). 1/11 Calculate (-36)/192 + (-2355)/240. -10 (-2*7/12)/(19/(-38)) 7/3 Evaluate ((-9 - -1)*1)/(1045/1045). -8 (-19)/(-1995) - (-2)/(-14) - (-1484)/105 14 Evaluate 84/(-15)*(-605)/(-242). -14 Evaluate (-95)/1140 + (-10)/8. -4/3 What is -4 + (-1 - 0) + 6? 1 Calculate 19/((-3458)/1988) + 7/(-91). -11 What is the value of (-140)/1710*4 + 10/45? -2/19 What is ((-416)/(-112))/(4/14)? 13 Evaluate 50/8*(-13136)/4105. -20 Calculate (-58)/145*((-2)/(-2))/(13 - 16). 2/15 Calculate (1360/(-72) - -15)*44/77. -20/9 What is the value of -6 - (10/2 + -18) - (12 - 6)? 1 What is (-1)/(102/(-40)) - ((-8)/12 - -1)? 1/17 Evaluate (-192)/240*(-30)/(-4). -6 What is -10 + 12 + 0 - -11 - 15? -2 What is the value of 13/(31 + (-8175)/270)? 18 What is the value of (-176)/(7 + -23) - (-17 + 8)? 20 Evaluate ((2/1)/102)/((-70)/25200*-60). 2/17 (-56 - (-5550)/100)*2*26 -26 (9/((-324)/(-48)))/(24/(-378)*-1) 21 Calculate (-43016)/(-1698) - (24 - 1). 7/3 Evaluate 10/((-360)/(-1404)) - 11. 28 -38*(-22)/1463*42 24 What is the value of (8/(-166 + -2))/((-76)/14 - -5)? 1/9 Calculate -6 + 340/55 - (-992)/(-616). -10/7 What is the value of ((-1)/(-33))/(-28*29/2436)? -1/11 What is 2/(9/(-486)*3*3)? -12 Calculate 6/12 - ((-85)/(-10) + -10). 2 Evaluate ((-7)/21)/((-3)/(-72)). -8 Calculate 75/(-30)*(18/(-20))/((-3)/4). -3 Calculate (1 + (-9)/15)*3/(-2). -3/5 What is 10 - (-154)/(-14) - -11? 10 Calculate (6/(-9))/((-30)/9) + (-429)/(-330). 3/2 3 + (-18)/1584*354 - -1 -1/44 -2 + 3 + -96 + 103 8 15/((-5)/((-10)/(-3)) + (-80 - -83)) 10 Evaluate (-3)/6 - (129/6 - 22). 0 What is the value of (262/(-20043))/((-56)/72)? 2/119 Evaluate -14 + 13281/570 + (-3)/10. 9 What is 26 + (3 - 3)/(31/(-31))? 26 Evaluate ((-40)/(-30))/((-2)/7 - (-60)/63). 2 What is (-4984)/(-1068)*24/(-14)? -8 Evaluate 3*(21528/(-3276) + 4/(-42)). -20 What is (92*(-40)/(-352))/(-1) - (-3 + -7)? -5/11 Calculate -7 + (-1)/(-1) + 3 + (-3 - 5). -11 Evaluate (0 + 4/(-290))/(377/65 + -6). 2/29 Calculate ((-378)/630)/(3/60). -12 Evaluate (-52)/6*2/(-24*(-5)/90). -13 -1*(-2)/(-78)*(-918)/(-102) -3/13 Calculate (-2)/(24/10) + (-2444)/1128. -3 Evaluate ((44640/(-100))/(-93))/(1/(-5) - -1). 6 (56/100)/(-7) + 230/6000 -1/24 5/(100/(-16))*15/6 + -2 -4 Calculate ((-8)/6)/((-70)/(-21)). -2/5 What is (-44)/(-14) - 153/42? -1/2 What is the value of (231/44)/(-21)*(-37 + 1)? 9 What is ((-42)/24)/1 + 235/100? 3/5 Evaluate (5*3/(75/10))/((-9)/(-45)). 10 What is the value of (0 + 10)*(-5 - (-6)/(24/26))? 15 492/13 + 51338/(-1351) -2/13 Evaluate ((18/1)/1)/((-780)/24 + 25). -12/5 (-3)/(-27) - 50/45 - -5 4 Evaluate (37 + 22120/(-595))*-68. 12 Evaluate 18 + 2891/(-147) + (-38)/(-3). 11 What is the value of 112/840*(-7 - -7 - -3)? 2/5 What is the value of (-928)/(-174) + 33/9? 9 What is (-8)/3*2805/748 - -7? -3 What is the value of 8/1*22/(-484)? -4/11 (-1998)/555 - ((-85)/(-25) + -2) -5 What is ((-21)/((-11655)/(-296)))/((-1)/(-3)*2)? -4/5 Evaluate -1 + (-58)/(-80) + 1 - 18/30. 1/8 What is the value of ((-3)/(-14))/(((-25)/(-400))/(3/(-6)))? -12/7 What is 7 + 17/((-864)/60 + 12)? -1/12 Evaluate (-190)/(-15) + (-112)/42. 10 (14/(-4))/((-1015)/3190) 11 Evaluate ((-686)/20 + 34)*2/3. -1/5 What is (-1)/(12/(-32)*20/(-30))? -4 4554/(-1188) - 14/(-4) -1/3 ((-48)/(-14))/(60/210) 12 What is (5/10)/((-11)/((-462)/(-721)) + 16)? -3/7 Evaluate -7 - (648/156 - (-10)/(-65)). -11 Calculate (-3 - -1 - (-3 - -2))*(-1827)/(-63). -29 What is (0 - (-6)/4)/((-3267)/2541)? -7/6 131/(-330) + 2/10 + 16/(-96) -4/11 Calculate 102/30*(89 - 84). 17 What is -20 + 13 + -4 + 7 + -5 + 5? -4 What is the value of (-4 - 753/(-189))*8 - 40/(-70)? 4/9 -419 + 403 + 78/5 - (-31)/90 -1/18 Evaluate ((-24)/30)/((-434)/(-775)). -10/7 What is 2750/(-175) + 48/3? 2/7 Calculate -23 - 2588/(-120) - 6/(-4). 1/15 ((-10)/25)/((-14)/(-20))*(-147)/(-189) -4/9 70/(-3) + -686 + 714 14/3 What is the value of ((-450)/1500)/(3*-1) + 22/30? 5/6 Evaluate (18/54 - -1) + 2 + 146/(-42). -1/7 Evaluate (((-3936)/205)/(-8))/(3/(-20)). -16 (-24)/(-84) + -23*(-6)/(-336) -1/8 Calculate -30 + ((-996)/(-24) - 10). 3/2 What is the value of (-42)/(-390)*13 - (-84)/(-10)? -7 -1 + 14 - 0/237 13 ((-852)/48)/(117/156) - (-1)/(-3) -24 What is (-184)/(-36)*-3 + (-96)/(-288)? -15 What is ((-40)/(-10) + 14/(-3))/(22/(-627))? 19 What is the value of -10 - (-3 + (-45)/(-10) - (-6213)/(-570))? -3/5 What is the value of (-9)/(-27)*(8 + 28/(-14))? 2 Evaluate ((-16)/(-266))/(1420/2485). 2/19 What is -41 + (-3)/(-5)*(-3440)/(-129)? -25 ((-2)/(-14))/(72/(-588)) -7/6 What is -8 + 35/(-105)*108/2? -26 -5 + (-186)/((-496)/(-16)) -11 What is the value of (-6 - 658/(-112))*(-20)/(-20)? -1/8 Calculate (-627)/418 - (-111)/66. 2/11 What is the value of ((-19008)/(-1760))/(3/(-5))? -18 Calculate (-66)/(-22) - (-25)/(-10). 1/2 Calculate 66/1*(-1)/(-24)*-2*4. -22 What is the value of (-19*17/3553)/(2/(-638))? 29 Calculate 225/300 + (130/(-180) - 4/(-18)). 1/4 What is the value of (-6)/(112/12 + -9 + (-22)/12)? 4 Evaluate (-928)/(-812)*(-7)/(-2). 4 What is the value of (-164)/10332*(6/(-1))/1? 2/21 Calculate ((-5)/(-27))/(80/(-96)). -2/9 -15 + 7 + 16 - 7 1 What is (2 - 2/1) + (-72)/9
{ "pile_set_name": "DM Mathematics" }
nce between 4.7 and -106.66? 111.36 Total of 2030.8 and -6. 2024.8 What is -29664 take away 27? -29691 9+13.7 22.7 6.5+-26285 -26278.5 Sum 0.12 and -185. -184.88 What is 8168 - 0.25? 8167.75 What is 42.57 + -4? 38.57 Work out -0.088 + 9. 8.912 Work out -1.68129 - 7. -8.68129 What is -4 minus -135505? 135501 Add 0.5854 and 0.2. 0.7854 What is -4 + 558391? 558387 What is 0.168 + 132.47? 132.638 -0.3+-119.423 -119.723 Put together -1.56144 and -4. -5.56144 Add -151 and 7. -144 What is 8 plus 458420? 458428 What is 17.784 plus -0.9? 16.884 Work out -248 - -1. -247 -9759940 - 0.1 -9759940.1 What is 0.4 minus -36466? 36466.4 Put together 0 and -37957. -37957 Subtract 13644.84 from -7. -13651.84 Subtract -1 from -110.92. -109.92 What is -2 minus -0.88485? -1.11515 Calculate 66.7 - 3.43. 63.27 Subtract 0.077 from -354. -354.077 Work out 1283.8 + 3. 1286.8 106 - 0.25 105.75 What is -9.37 less than 14.92? 24.29 What is -162 take away -2? -160 0.4 - 280757 -280756.6 Calculate 3.65 - -2.3. 5.95 Sum 5916.6 and 0.4. 5917 -59+-39 -98 -4 + -1962 -1966 -2 + 0.18848 -1.81152 Total of 23.2 and 125. 148.2 Put together -0.36669 and -3. -3.36669 Subtract -942 from -124. 818 Calculate 0.6 - -9. 9.6 What is -1.373278 - -0.2? -1.173278 Calculate -7 + -10.62. -17.62 What is the difference between 0.4 and 16016? 16015.6 What is 1 minus -84.2? 85.2 Sum 2 and 6.6877. 8.6877 Subtract 0.09 from -57. -57.09 What is -14 - 13? -27 What is -1931 plus 19? -1912 Subtract -252549 from 0.2. 252549.2 What is -326 + -3508? -3834 What is -39.6 take away -0.11? -39.49 Total of -0.06 and 0.15193. 0.09193 Work out -285 + 0.091. -284.909 What is 0.192 plus 2? 2.192 What is 989986 take away -0.3? 989986.3 What is the difference between -1.7 and -39? 37.3 What is -1.039 + -0.0411? -1.0801 What is 63874 minus 2? 63872 What is -127.41 plus 0.2? -127.21 What is 37677 minus -2? 37679 What is -100 + -643? -743 What is the difference between -2066902 and 0.3? 2066902.3 Total of -2 and -245.9. -247.9 What is 3310 - -0.039? 3310.039 Put together -0.4 and -1421. -1421.4 Subtract 4994 from -5. -4999 What is the difference between 12396 and -5? 12401 What is the difference between -1220 and 0.5? 1220.5 Work out 40718.89 - -1. 40719.89 What is 0.03 plus -429? -428.97 What is 0.03 + 172122? 172122.03 What is -0.835 take away 34? -34.835 What is -2.426 minus -0.1? -2.326 -0.7 - -1887.7 1887 What is the difference between 0.14 and -9.9? 10.04 Work out -2 - 92387. -92389 What is -2.08 - 47? -49.08 Calculate -3.3719 - 103. -106.3719 Put together -3 and -2.315. -5.315 What is -5 take away -0.0191869? -4.9808131 What is the difference between -7.43 and -0.014? 7.416 -76921+0.014 -76920.986 Work out 632142 - 0.4. 632141.6 What is 5 + 259141? 259146 What is -169 - -176.3? 7.3 Work out 4 - -212. 216 What is the distance between -8011 and -0.006? 8010.994 Work out 160877 + 0.5. 160877.5 What is 633 take away 42? 591 Sum 0.3 and -1623. -1622.7 Work out -2506 - -0.12. -2505.88 What is the distance between 0.1 and -0.348031? 0.448031 Add 39.647 and -1.7. 37.947 -6.99 + -0.06 -7.05 Calculate -304 - 0.9. -304.9 What is -0.052 plus 2177? 2176.948 Calculate -600 - 26. -626 -0.5 - -844 843.5 What is 0.39709 - 1? -0.60291 What is 3270 plus -6? 3264 Work out 5 + -0.76. 4.24 What is -0.2 plus 12803? 12802.8 Subtract -0.2 from 0.13436. 0.33436 Add together -195 and 703. 508 Subtract 0.01 from -3.07. -3.08 Sum 5722.95 and 0.5. 5723.45 18 - 61 -43 0.081+11 11.081 What is -0.1 take away 0.72? -0.82 What is -24 minus -1.10993? -22.89007 Put together -0.9 and -4898. -4898.9 What is -0.1 plus 287.499? 287.399 What is the distance between 3 and -7.3749? 10.3749 What is 985 - 0.23? 984.77 Calculate 134 + 2825. 2959 What is 0.1 plus 3408? 3408.1 Work out 0.4 + -88821. -88820.6 What is 8 + 2841? 2849 What is 2.51 plus 1.89? 4.4 Add -94 and 36419. 36325 Add together -44776 and -4. -44780 Add 0.0569 and -13205. -13204.9431 Work out 397 + -3.7. 393.3 What is the difference between -115.2 and -0.2? 115 Add together -16.6 and -0.55. -17.15 What is -3 plus -1.39? -4.39 -0.106 - 0.027 -0.133 What is -1.51 minus -0.014? -1.496 Calculate 0.1 + -710.56. -710.46 Calculate 3 - 132990. -132987 What is the difference between 32 and 4? 28 Put together -4 and -56437. -56441 Add together -114 and 28.878. -85.122 Work out 512.99 - -2. 514.99 What is -352.5 take away -2? -350.5 What is 53 less than -0.026? -53.026 What is -10 plus 3221? 3211 What is -723.2 take away 5? -728.2 Work out -388 - 3.84. -391.84 Subtract 1.09 from 8. 6.91 Calculate -157159 - 1. -157160 What is -38626 - -14? -38612 What is the distance between 1 and 7.9? 6.9 What is 0.2 less than -0.0975? -0.2975 -101533 - 0.3 -101533.3 Subtract -210 from 1.9. 211.9 What is 0.10482 - -18? 18.10482 Total of 242 and -0.055. 241.945 What is 83.5 less than -685? -768.5 Subtract 0.032 from -57. -57.032 Add together -0.06 and -24.2. -24.26 Put together 758 and -0.3. 757.7 Subtract 3506 from -0.2. -3506.2 Put together 0.5 and -49894. -49893.5 What is the distance between 1 and -0.01908? 1.01908 Sum -160 and 4.61. -155.39 Calculate 5523 - -0.2. 5523.2 What is -94483 - -2? -94481 Add together 54130 and 0.1. 54130.1 Put together -4 and 183. 179 Calculate 234 + 543. 777 Add 76452 and 14. 76466 -1.508+-0.19 -1.698 What is 5 minus 1.341? 3.659 -0.1343 - -0.3 0.1657 Add together 0.001 and -238. -237.999 What is the distance between -1.4 and -0.0947? 1.3053 5 - 360.05 -355.05 Subtract -0.5 from 210253. 210253.5 Calculate 5 + -134. -129 Add together 2.9 and -190. -187.1 What is 2185278 + 0.1? 2185278.1 Subtract 0.0527155 from -0.6. -0.6527155 0.1 + -0.051911 0.048089 What is -3 less than 367.01? 370.01 Add together 0.4 and 1470. 1470.4 Calculate 0.02279 + 0.08. 0.10279 What is 2287 - 521? 1766 Add 0.03 and -12670. -12669.97 What is 3.50484 minus 7? -3.49516 Sum 6 and 3604. 3610 Calculate -6 - -2.31. -3.69 Subtract 22442 from -177. -22619 What is -13 minus 43? -56 Add -0.5 and 60.043. 59.543 What is 23.1 less than 2.7? -20.4 -0.127 - -1740 1739.873 What is -463 plus 3.9? -459.1 Add together -4062.61 and -2. -4064.61 Work out 132911 + -0.51. 132910.49 Put together -0.2 and -2048. -2048.2 Total of 74 and -36. 38 Put together 5 and 37.124. 42.124 Subtract 3 from 27.603. 24.603 Sum 57.06 and -163. -105.94 What is the difference between 65 and 198? 133 -0.6 + -202.4 -203 Total of 41 and 1.85. 42.85 What is -18.83 + 128? 109.17 Work out 3529 - -40. 3569 What is the difference between -0.5 and 1185.72? 1186.22 Add together -0.4 and 4462. 4461.6 Work out -38 + 16.059. -21.941 Sum 0.0177 and 0.005. 0.0227 What is 630 + -4? 626 Subtract 0.1 from -3439574. -3439574.1 Work out -0.025 - -0.65. 0.625 Work out 0.2 + -28.7. -28.5 -28 - 23215 -23243 What is the distance between -1364 and -7? 1357 Subtract -0.1 from -8579.4. -8579.3 Work out -695 + -233. -928 What is 0.01 minus -0.1934? 0.2034 What is 0.3 - 0.0432498? 0.2567502 Put together 3954 and 3. 3957 What is -27 - 0.221363? -27.221363 Put together -0.5 and 404170. 404169.5 Total of 0.05 and 0.319. 0.369 Subtract -0.2 from -1185. -1184.8 Sum 28.9774 and -1.4. 27.5774 Calculate 7 + 0.1729. 7.1729 What is -632052 minus -0.1? -632051.9 Add together 0.22 and 165. 165.22 Sum -269 and 385. 116 -2925+0.1 -2924.9 Add together 41 and -7.41. 33.59 What is 0.4 plus 375406? 375406.4 Add -636 and 0.916. -635.084 Calculate -4 - -0.1264. -3.8736 What is -0.6839 - 0.3? -0.9839 -6.195 - 0.3 -6.495 0.1 - -15605 15605.1 -4.353 - -0.4 -3.953 Subtract -1.5 from -276584. -276582.5 Add together -0.01 and -6.146. -6.156 What is 86 take away 399? -313 What is 37 - 4.0808? 32.9192 What is 0.2 minus 7182? -7181.8 0.3 + 17663 17663.3 What is 4053 take away 8? 4045 Calculate 2 + 14291. 14293 Calculate 7353 + 4. 7357 What is 10 + 519? 529 Work out -1140167 - 2. -1140169 Subtract 0.3 from 306421. 306420.7 Add together 43 and -0.9. 42.1 What is 0.03984 less than -2? -2.03984 161 + 662 823 Put together 3384 and 0.4. 3384.4 Calculate 41.264 + 5. 46.264 154.983+0.5 155.483 What is 0.13 + 5.57? 5.7 Calculate -2744 - 195. -2939 Add -0.3 and 1.476. 1.176 What is -130 - 0.0009? -130.0009 Add -874 and -3.1. -877.1 Subtract 0.13 from -3. -3.13 Calculate 2441 - 70. 2371 Add together -0.04317 and 12. 11.95683
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when 1196806 is divided by 47? 45 Calculate the remainder when 142987 is divided by 76. 31 Calculate the remainder when 311563 is divided by 493. 480 What is the remainder when 9701 is divided by 4810? 81 Calculate the remainder when 70866 is divided by 133. 110 Calculate the remainder when 1562 is divided by 1440. 122 What is the remainder when 42659 is divided by 45? 44 What is the remainder when 14244 is divided by 491? 5 Calculate the remainder when 31700 is divided by 117. 110 What is the remainder when 141955 is divided by 364? 359 Calculate the remainder when 18094 is divided by 6026. 16 What is the remainder when 3892 is divided by 1924? 44 Calculate the remainder when 87546 is divided by 119. 81 Calculate the remainder when 10385 is divided by 692. 5 Calculate the remainder when 3551 is divided by 584. 47 Calculate the remainder when 39262 is divided by 118. 86 What is the remainder when 331099 is divided by 228? 43 What is the remainder when 42341 is divided by 148? 13 What is the remainder when 401 is divided by 290? 111 What is the remainder when 4770 is divided by 944? 50 What is the remainder when 94338 is divided by 59? 56 What is the remainder when 354972 is divided by 177472? 28 What is the remainder when 35768 is divided by 35758? 10 What is the remainder when 60480 is divided by 335? 180 Calculate the remainder when 445 is divided by 306. 139 Calculate the remainder when 115207 is divided by 293. 58 Calculate the remainder when 11268 is divided by 10. 8 Calculate the remainder when 48721 is divided by 19. 5 What is the remainder when 120226 is divided by 24? 10 Calculate the remainder when 4967 is divided by 67. 9 What is the remainder when 895528 is divided by 10? 8 Calculate the remainder when 1436 is divided by 710. 16 Calculate the remainder when 2338 is divided by 1088. 162 Calculate the remainder when 29835 is divided by 29835. 0 What is the remainder when 150789 is divided by 401? 13 What is the remainder when 1171 is divided by 171? 145 Calculate the remainder when 231398 is divided by 146. 134 Calculate the remainder when 187915 is divided by 556. 543 What is the remainder when 22602 is divided by 38? 30 Calculate the remainder when 8448 is divided by 264. 0 Calculate the remainder when 1757 is divided by 223. 196 Calculate the remainder when 309108 is divided by 963. 948 Calculate the remainder when 4025 is divided by 92. 69 What is the remainder when 240853 is divided by 88? 85 What is the remainder when 19681 is divided by 59? 34 What is the remainder when 988 is divided by 198? 196 Calculate the remainder when 3141 is divided by 1421. 299 Calculate the remainder when 187164 is divided by 31194. 0 Calculate the remainder when 139727 is divided by 139. 32 Calculate the remainder when 502 is divided by 92. 42 Calculate the remainder when 53044 is divided by 44. 24 What is the remainder when 6178 is divided by 138? 106 Calculate the remainder when 111514 is divided by 18579. 40 Calculate the remainder when 6339 is divided by 333. 12 What is the remainder when 1380984 is divided by 895? 894 Calculate the remainder when 1063 is divided by 960. 103 What is the remainder when 9482 is divided by 4735? 12 Calculate the remainder when 2322 is divided by 49. 19 What is the remainder when 8381 is divided by 280? 261 What is the remainder when 699396 is divided by 349689? 18 Calculate the remainder when 54920 is divided by 27326. 268 Calculate the remainder when 99518 is divided by 429. 419 What is the remainder when 6461 is divided by 40? 21 Calculate the remainder when 24112 is divided by 24064. 48 Calculate the remainder when 439221 is divided by 8. 5 Calculate the remainder when 572 is divided by 125. 72 What is the remainder when 507586 is divided by 64? 2 What is the remainder when 4142 is divided by 822? 32 What is the remainder when 154937 is divided by 14? 13 What is the remainder when 13112 is divided by 3259? 76 What is the remainder when 667399 is divided by 50? 49 What is the remainder when 8254 is divided by 110? 4 What is the remainder when 248415 is divided by 34? 11 What is the remainder when 341260 is divided by 44? 40 What is the remainder when 24694 is divided by 7926? 916 Calculate the remainder when 30377 is divided by 155. 152 What is the remainder when 6185 is divided by 6170? 15 What is the remainder when 1921 is divided by 1881? 40 What is the remainder when 1761 is divided by 282? 69 Calculate the remainder when 21445 is divided by 714. 25 Calculate the remainder when 5681 is divided by 1781. 338 Calculate the remainder when 8876 is divided by 635. 621 What is the remainder when 6612 is divided by 6446? 166 Calculate the remainder when 5198 is divided by 70. 18 What is the remainder when 368230 is divided by 245? 240 Calculate the remainder when 42915 is divided by 296. 291 What is the remainder when 3136 is divided by 312? 16 Calculate the remainder when 3050 is divided by 160. 10 What is the remainder when 6693 is divided by 50? 43 What is the remainder when 6554623 is divided by 385? 383 Calculate the remainder when 1330 is divided by 676. 654 Calculate the remainder when 2365 is divided by 2356. 9 Calculate the remainder when 281790 is divided by 1917. 1908 What is the remainder when 4679 is divided by 22? 15 What is the remainder when 1427 is divided by 20? 7 What is the remainder when 3082 is divided by 228? 118 What is the remainder when 48368 is divided by 87? 83 Calculate the remainder when 14168 is divided by 6. 2 What is the remainder when 1031 is divided by 912? 119 Calculate the remainder when 12445 is divided by 498. 493 Calculate the remainder when 8372695 is divided by 31. 29 What is the remainder when 6347 is divided by 3150? 47 What is the remainder when 22777 is divided by 11340? 97 Calculate the remainder when 52390 is divided by 121. 118 What is the remainder when 13279 is divided by 358? 33 What is the remainder when 858373 is divided by 328? 325 Calculate the remainder when 1501962 is divided by 500652. 6 Calculate the remainder when 122051 is divided by 3051. 11 What is the remainder when 291078 is divided by 262? 258 What is the remainder when 1020 is divided by 398? 224 What is the remainder when 14146 is divided by 911? 481 What is the remainder when 2177 is divided by 1084? 9 What is the remainder when 274947 is divided by 45? 42 Calculate the remainder when 19636 is divided by 19617. 19 What is the remainder when 239885 is divided by 301? 289 What is the remainder when 711 is divided by 316? 79 What is the remainder when 3951300 is divided by 148? 144 Calculate the remainder when 177053 is divided by 69. 68 Calculate the remainder when 27955 is divided by 65. 5 Calculate the remainder when 28988 is divided by 63. 8 Calculate the remainder when 754967 is divided by 17. 14 What is the remainder when 1518 is divided by 755? 8 What is the remainder when 32827 is divided by 16407? 13 Calculate the remainder when 2264 is divided by 530. 144 What is the remainder when 22670 is divided by 719? 381 What is the remainder when 1560 is divided by 45? 30 What is the remainder when 7312 is divided by 5079? 2233 What is the remainder when 133365 is divided by 24? 21 What is the remainder when 381215 is divided by 722? 721 What is the remainder when 478201 is divided by 11? 9 What is the remainder when 2162 is divided by 215? 12 Calculate the remainder when 4166446 is divided by 66. 64 Calculate the remainder when 43560 is divided by 968. 0 Calculate the remainder when 83501 is divided by 86. 81 What is the remainder when 71769 is divided by 1259? 6 What is the remainder when 1718 is divided by 26? 2 Calculate the remainder when 319249 is divided by 1040. 1009 What is the remainder when 5507 is divided by 924? 887 What is the remainder when 20627 is divided by 142? 37 Calculate the remainder when 121 is divided by 96. 25 Calculate the remainder when 15055 is divided by 14992. 63 Calculate the remainder when 36037 is divided by 5133. 106 What is the remainder when 49179 is divided by 8? 3 Calculate the remainder when 2613763 is divided by 465. 463 Calculate the remainder when 5497 is divided by 905. 67 Calculate the remainder when 13753 is divided by 40. 33 What
{ "pile_set_name": "DM Mathematics" }
= -0*h - 3*h - 12*a + 3*a - 12, -5*a = -74*h + 158 for h. 2 Solve 0 = -4*q + 5*k - 1, -43*q + 3*k - 249 + 289 = 0 for q. 1 Solve n + 6 = 4*r - 42, -5*r - 697 - 671 = 3*n - 1428 for n. 0 Solve 2924 = -4*i + 2*k + 3066, 4*i - 117 = -3*k for i. 33 Solve 4*z = -4*m + 180, 4*m - 75 = -9*z + 329 + 1 for z. 45 Solve -4*n + 15 = 31*d - 36*d, d + 2*n = -7*d + 18 for d. 1 Solve -261092*n + 4*r - 5 = -261087*n, 0 = 3*n - 2*r + 1 for n. 3 Solve -2*f - 11 + 0 = -13*n, 5*n = 11*f - 13*f + 43 for n. 3 Solve 4*q - 38 = 3*k - 178, -7*k = -q - 10 for k. -4 Solve 4*w = -15*b - 28, 0 = -3*b + 160*w - 161*w - 7 for b. 0 Solve -6*a = -5*g + 422, -138*g = 2*a - 141*g + 138 for a. -72 Solve -r + z - 23 = 0, -14*r - 4*z + 15631 - 15881 = 0 for r. -19 Solve 4*f - 104 - 133 = -16*u + 208 - 65, -5*u = 3*f - 110 for u. 25 Solve -6*j - 3*h = -12, -725*j + 728*j = 4*h - 38 for j. -2 Solve z + 2*n - 6*n - 3 = -29, 2*z + 2*z - 78 = 49*n - 314 for z. -10 Solve 4*b - 4 = -3*x - 12 - 16, -3*b = 2*x + 16 for x. -8 Solve 5*n + 1518322*v = 1518326*v - 37, n - 6*v = -23 for n. -5 Solve 0 = -c - 8*k - 66, 5*c + k - 1531 = -1666 for c. -26 Solve 31 - 91 = -4*s, 2*s - 39 = 25*q - 21 + 87 for q. -3 Solve -8*i + 108 = 5*y, -316*y + 312*y + 14 = -2*i - 64 for y. 20 Solve -g = -4*u - 18, -2*g + 5*g + 2*u = -2*g + u - 15 for g. -2 Solve 5*p = -5*t, 27*t - 11*p - 7*p - 78 = -29*p + 10*p for t. 3 Solve -946*q + 945*q - 1 = -5*m - 18, 2*q = 3*m + 13 for q. 2 Solve 3*d + 2 = 4*b + d, -d + 174244 = b + 2*b + 174230 for b. 3 Solve 0 = -4*p + 2*f - 5 + 8 + 1, 9 = -p - 2*f for p. -1 Solve 5*r - 2110 + 2210 = 5*w, 98 = -4*r + 5*w for r. -2 Solve -4*w - 3*q = 109, 9*w + 9*q + 359 - 128 = -5*q + 12*q for w. -25 Solve -22*h = -3*p + 56, 5621*h + 4*p = 5620*h + 105 for h. 1 Solve 202*z - 203*z + 1 = 0, z = -2*w - 2 + 7 for w. 2 Solve -58924*g + 81 = 12*l - 58925*g, -40 = -4*l - 4*g for l. 7 Solve 3*f - 3*f = 2*f - 5*s - 57, s = 2*f - 5 for f. -4 Solve i + 7*w - 51*w = 6*i - 9*i - 352, 2*i + 5*w = 40 for i. 0 Solve 0*g + 9*g - 8*g - 16 = 4*k, -2*k - 4 = 0 for g. 8 Solve -34*t + 32*t - 22 = -2*d + 25 - 9, -28 = -d - 2*t for d. 22 Solve 0 = -4*t - 12*q + 316, -9868*t = -9867*t + 5*q - 133 for t. -2 Solve -3*t + 3 = 2*i - 0*i, -2*i + 16*t - 577 + 485 = 0 for i. -6 Solve 38 = 3*n - 163958*z + 163968*z, -18 = -4*n + 3*z for n. 6 Solve -5*p + 4*y = 266, -220*y - 161 = 2*p - 223*y - 56 for p. -54 Solve -d = v - 2*v - 23, 0 = -74262*v + 74259*v - 11*d + 253 for v. 0 Solve 0 = 2*c + 5*n + 13, 6*n - 6*n = -8*c - 3*n - 137 for c. -19 Solve 5*f + 2*l = -27, 1425*f + 9 = 1424*f - l for f. -3 Solve -117*s + 47*z + 621 = 43*z, 3 = -3*z - 24 for s. 5 Solve -5*j + 44*k - 61 = 40*k, 29 = -5*j - 4*k for j. -9 Solve -2*m + 7*q - 22 = 32, 657*q - 655*q = 2*m + 44 for m. -20 Solve 5*x - 368*q + 369*q = -22, -3*x + 5*q + 166 = 0 for x. 2 Solve -4*o - 7*s = 83, -3*o + 2692 = -4*s + 2671 for o. -5 Solve -141 = -3*a + 9*g - 366, -66 = -2*a - 3*g for a. -3 Solve 3*f - 25 - 34 = 4*q, 1099 = -5*f + 3*q + 1179 for f. 13 Solve 4 = -4*z + 66*o, 2845*z - 2840*z = 2*o - 5 for z. -1 Solve 91 = 5*t + 6*s, 1997*t + 2*s + 103 = 2022*t for t. 5 Solve 4*g - q - 2023 + 1983 = g - 0*q, 4*g - 50 = -2*q for g. 13 Solve 4*d + 6 + 42 = 3*h, 20*h + d + 47 + 48 = 0 for h. -4 Solve d - 3*i + 41*i = 5*i - 269, 3*d - 3*i + i = 1 for d. -5 Solve -3*x + 535 = h + 683, 4*h + h = 3*x + 160 for x. -50 Solve 3*u + 25 = 4*s, 1490*u - 851*u + 2001*u + 7916 = -s for u. -3 Solve -14*d = -5*s - 56, -875*s + 104 = -876*s + 26*d for s. 0 Solve 10*o - 111 = 8*o + 2*k - 3, -8*k - 2033 = 37*k + 622 for o. -5 Solve t - 4*s + 84 = -3*t, -60206*t - 55 = -60205*t - 3*s for t. -4 Solve v - 160429*g = -160426*g + 6, -4*v - 27 = g + 4*g for v. -3 Solve -11*d + 3*z + 86 = z, -603*z = 3*d - 606*z - 21 for d. 8 Solve 17988*k - 197 = -26*w + 17983*k, 3*w - 4*w + 4*k = 5 for w. 7 Solve -2*o + 1 = -3*c - 3*o, -1208*o = 72*c - 1206*o + 134 for c. -2 Solve -143*o + 66*o = 4*j - 2452, -o + 20 = 4*j for o. 32 Solve -3*k - 45*x = 177, -68 = -3*k + 74*x - 70*x for k. 16 Solve 9729*u + 37*k = 9732*u - 42, 56 = u + 3*u - k for u. 14 Solve 4*d - 18*t + 33*t = 11*t - 40, 0 = -22*d + 5*t + 77 for d. 1 Solve 6 - 27 = -n - z, n - 71*z + 120 - 95 = -74*z + 82 for n. 3 Solve 2*u - 4*t - 16 = 0, 5*u - 2165337*t - 44 = -2165323*t for u. 6 Solve -5*w - 3*m + 196 = 0, 60*w + 86*w + 2*m - 119 = 145*w - 0*m for w. 5 Solve 530*g + 535*g - 36 = 1063*g - 10*a, 4*a = 3*g + 22 for g. -2 Solve 792*c + 3*w = 1585*c - 795*c - 30, 4*c - 2*w = 4 for c. -3 Solve -114*l = -2*y - 118*l + 82, -5*y + 18*l - 19*l = -16 for y. -1 Solve -x - 10*x - 154*v + 685 = -157*v, 5*x - 290 = -20*v for x. 62 Solve -15*u + 41*u = 31*u - 12*x - 484, -8 = 4*x for u. 92 Solve -h - 1803*j + 31 = -1806*j, 4*j + 44 = 0 for h. -2 Solve 3*v - 69 = -15*h, 3981*h = 3977*h - 3*v + 14 for h. 5 Solve -l - 2*l - 137*z + 71*z = -0*l - 70*z + 1, 3*l + 2*z = 23 for l. 5 Solve -30*h + 31*h - n = 4*n - 6, h + 39*n + 6 = -25*n for h. -6 Solve 5*s = -4*n - 56, 15489*n - 15485*n + 2*s = -68 for n. -19 Solve 4*a + 407*v - 412*v + 44 = 0, -38*v + 464 = 2*a for a. 4 Solve 0*n + n = 35*c - 17*c - 19*c + 43, 4*n - 193 = 3*c for n. 46 Solve 5*i - 65 = 4*h, 44*i - 40*i - 3 = -4*h - 23 for h. -10 Solve 0 = 5*r - 6*r - 3*s + 8, -s + 2*s = 40*r - 3561 + 3120 for r. 11 Solve -9*h - 447 = 3*d, -6*h + 3*d = 1421 - 1118 for h. -50 Solve -14 = -5*p - 4*u, -p - 4*u + 4 - 14 = -0*u for p. 6 Solve 17 = -6*p + d, p + 2*d = -57 + 78 for p. -1 Solve 3611*k = 3603*k + 5*c - 93, 90 = -4*k + 46*c for k. -11 Solve l - 83 + 3 = -4*h, 4*l + 163 = -6*h - 4*h + 17*h for l. -4 Solve 30 = 2*a + 7 - 7, -5*b - a + 5 - 10 = 0 for b. -4 Solve 3*u + 2*w - 30 = -16*u + 7*u, 0 = 2*u - 13*u + 4*w - 25 for u. 1 Solve g - 3*b = -9*b - 48, -184*g - 4*b - 40 = -183*g for g. -24 Solve 3*a - 39 = 0, 31*x + 72283*a = 72280*a + 70 for x. 1 Solve 0 = 5*s + o + 31, -29 = 3*s + 4094*o - 4093*o for s. -1 Solve -26542*d - 12 = -s - 26546*d, -3*d = 16*s + 52 for s. -4 Solve 56 = 28*r - 4*n, r - 2*r + 18*n + 41 = 16*n for r. -1 Solve -2*m + 515 = 501, 0*x + 4*x - 9 = -0*m - 3*m for x. -3 Solve -276*a = -245*a - l + 75, 0 = 3*l - 39 for a. -2 Solve -2*j = 2*l + 26, -7490 = 8*j - 2*l - 7486 for j. -3 Solve -4*j + 192 = 4*d, 0 = -80*j + 68*j + 612 for d. -3 Solve -2*h - 98 = 2*b, -64*h - 18 - 7 = -63*h - 7*b for h. -46 Solve 0 = -2*b - 12448*q + 12447*q - 21, -3*q - 47 = 4*b for b. -8 Solve -176*z + 172*z + 6 = 12*k + 62, -48 = -k - 3*z + 6*z + 4 for k. 1 Solve -5*h - 923 = 15*d - 303, 3*h = 3*d + 144 for d. -43 Solve 4*j - 1197 - 1217 + 2342 = -5*s, -s + 16 = 0 for j. -2 Solve -4*p - 52*s + 21 = -102*s + 51*s, -5*p + 45 = 5*s for p. 4 Solve 10 = -g + 497*z - 490*z, 2*z + 28 = 8*g for g. 4 Solve -4*o + 32 = 4*m - 48, 29366*o - 29364*o + m - 36 = 0 for o. 16 Solve 138*r - l = 219*r + 397, 11 - 2 = -2*r + l - 9 for r. -5 Solve 1 = -0*q - 2*q - 5, -2*z + 35*q = 21*q - 46 for z. 2 Solve 31*f - 12*f + 5 = b - 13*f, 0 = -4*b + f + 20 for b. 5 Solve 287 = -2*m - 91*l, 43 = -4*m + 13591*l - 13596*l for m. -7 Solve -11*b + 6*u + 119 = 0, b + 86 = -4*u - 35 for b. -5 Solve -37*c - 26*c = x - 65*c + 15, -2*x = 17*c + 72 for x. -19 Solve -5*v - 300 = -7*b + 2*b, -v + 53 + 187 = 4*b for b. 60 Solve 5*x - 5*u - 2581 = -2631, -4*x - 4*u = -x + 30 for x. -10 Solve 2*k - 2*g + 0*g + 17328 = 17386, -2*k - 5*g - 117 = 0 for k. 4 Solve -3*h - 2*p + 55 = 66, -13*h + p - 13 + 33 = 0 for h. 1 Solve -5642*z - 5641*z - 2*f + 60 = -11279*z - f, -3*z + z + 48 = -4*f for z. 16 Solve 5*u = -5*y - 90, -3*y + 599*u - 656*u = 108 for y. -17 Solve -3*r + 93 = -3*w, -5*w + 17787 = r + 17756 for r. 31 Solve -17*h - 194 = -5*r, 189089*r = 189094*r + h + 22 for r. -2 Solve 12*d + a = -34, -95149*d = -95152*d + 4*a - 17 for d. -3 Solve 4*p + 15355 = 3*j + 15332, 4*j - 5*p = 31 for j. 9 Solve 0 = -n - 4*g - 35, -2*n + 10*g - 120 - 135 = 11*g - 241 for n. -3 Solve -x - 3 = -w, -602*w + 600*w = 13*x + 54 for w. -1 Solve 0 = -5*d + l + 16, -24*l + 5 - 4 = -4*d + 27 + 10 for d. 3 Solve 0 = -o + 175*v - 180*v - 6 + 58, -5*o - 3*v + 40 = 0 for o. 2 Solve 2308*i - 4*m = 1156*i + 1153*i - 30, -m = -4 for i. 14 Solve -7*s + 5*y - 34 = 0, -2*s + 90*y = 46*y + 47*y - 8 for s. -2 Solve 4*a - 3*w - 49 = 9*a, 37*w - 67*w + 35*w + 55 = -3*a for a. -5 Solve
{ "pile_set_name": "DM Mathematics" }
hat is -839226000 rounded to the nearest one million? -839000000 Round 43.387583 to zero decimal places. 43 What is -21902270 rounded to the nearest one hundred thousand? -21900000 Round -0.02429008 to 3 dps. -0.024 What is 48.613115 rounded to one dp? 48.6 What is 345140000 rounded to the nearest 1000000? 345000000 Round 12.976999 to the nearest integer. 13 What is 359.5066 rounded to zero dps? 360 What is 10.687105 rounded to the nearest integer? 11 Round -0.000001758979 to six decimal places. -0.000002 Round -0.00001233 to 3 dps. 0 What is 0.0000023274227 rounded to 7 decimal places? 0.0000023 Round 16.21073 to 2 decimal places. 16.21 What is -1.240063 rounded to 1 decimal place? -1.2 What is -0.026064852 rounded to 5 decimal places? -0.02606 Round -586.99 to the nearest one hundred. -600 What is 5823114 rounded to the nearest 100000? 5800000 Round -3196316 to the nearest one thousand. -3196000 What is 275.6261 rounded to the nearest 10? 280 What is -210.85973 rounded to the nearest 10? -210 What is -1093874 rounded to the nearest 100000? -1100000 What is -178379.3 rounded to the nearest one thousand? -178000 What is -16021.922 rounded to 0 decimal places? -16022 What is -5490310 rounded to the nearest 10000? -5490000 Round -6413.07 to the nearest 100. -6400 Round 15138200 to the nearest 10000. 15140000 What is 0.0010343 rounded to four dps? 0.001 What is -17945.8 rounded to the nearest ten? -17950 Round 104725.45 to the nearest 100. 104700 Round -6645100 to the nearest one hundred thousand. -6600000 What is 0.024754 rounded to three dps? 0.025 What is 0.00002012449 rounded to six decimal places? 0.00002 What is 0.00021022318 rounded to 5 dps? 0.00021 What is 0.0000153321 rounded to 5 dps? 0.00002 What is -7.82951 rounded to two dps? -7.83 What is -222003 rounded to the nearest 10000? -220000 Round 0.0000112772 to 6 decimal places. 0.000011 Round -0.2478771 to 1 decimal place. -0.2 What is 254927.9 rounded to the nearest ten thousand? 250000 Round 0.0024427 to six dps. 0.002443 What is -0.00002742362 rounded to 7 decimal places? -0.0000274 What is 430066 rounded to the nearest one hundred thousand? 400000 What is -0.0130348 rounded to three decimal places? -0.013 What is -259150 rounded to the nearest ten thousand? -260000 What is -0.0021355148 rounded to six decimal places? -0.002136 What is -0.002293863 rounded to 6 dps? -0.002294 What is 203183.7 rounded to the nearest one thousand? 203000 What is 780.7145 rounded to 0 dps? 781 Round -0.0000431473 to six decimal places. -0.000043 Round -44573100 to the nearest 100000. -44600000 What is -0.702804 rounded to two decimal places? -0.7 What is -97548 rounded to the nearest 1000? -98000 What is -46.83937 rounded to 2 dps? -46.84 Round -51602.169 to the nearest one hundred. -51600 Round 0.0231635 to three dps. 0.023 What is -0.0000042945144 rounded to 7 decimal places? -0.0000043 Round -110.6342 to zero decimal places. -111 Round 35.5931 to 0 dps. 36 What is -0.00002449743 rounded to six dps? -0.000024 Round 2880200 to the nearest 1000000. 3000000 What is 0.00000790274 rounded to 7 decimal places? 0.0000079 Round -3.069846 to 1 dp. -3.1 Round 1166.3332 to the nearest ten. 1170 What is -18.1055 rounded to the nearest integer? -18 What is 2173.8 rounded to the nearest 100? 2200 Round -0.014703665 to 5 decimal places. -0.0147 What is 160752.6 rounded to the nearest ten thousand? 160000 Round -9488640 to the nearest 100000. -9500000 What is 149557800 rounded to the nearest one hundred thousand? 149600000 What is -62998600 rounded to the nearest 100000? -63000000 Round 114.4184 to the nearest 10. 110 Round 10.776542 to one dp. 10.8 What is 7326.2167 rounded to the nearest integer? 7326 Round -0.00003798865 to 6 dps. -0.000038 What is -10101212 rounded to the nearest one million? -10000000 What is 0.000013033922 rounded to 5 decimal places? 0.00001 Round 8.29125 to one dp. 8.3 Round -0.000006802774 to six decimal places. -0.000007 What is -1510.013 rounded to the nearest one hundred? -1500 What is -0.00000614857 rounded to 7 dps? -0.0000061 What is -0.00975152 rounded to five dps? -0.00975 Round 0.0000018770811 to seven decimal places. 0.0000019 What is 1266513 rounded to the nearest one hundred thousand? 1300000 Round 241.588 to 1 decimal place. 241.6 What is 7415700 rounded to the nearest one hundred thousand? 7400000 Round -68.644 to the nearest 10. -70 What is 0.309535 rounded to 3 dps? 0.31 What is 1761769 rounded to the nearest 1000? 1762000 Round 339.88 to the nearest 100. 300 Round 0.559446 to 1 decimal place. 0.6 Round 0.0001588898 to 6 dps. 0.000159 Round 2.059219 to three decimal places. 2.059 Round -621.2572 to the nearest ten. -620 Round 25.0564 to zero decimal places. 25 Round -0.00883141 to 4 dps. -0.0088 Round -325992.9 to the nearest one hundred. -326000 Round -0.5179013 to four decimal places. -0.5179 What is 0.250519 rounded to two decimal places? 0.25 What is 2658440 rounded to the nearest one million? 3000000 Round -5.079496 to 0 dps. -5 What is -0.24028452 rounded to four decimal places? -0.2403 Round 14.99352 to zero dps. 15 What is -0.00658029 rounded to 5 decimal places? -0.00658 What is -1.2368618 rounded to 1 decimal place? -1.2 Round 86.415 to the nearest 10. 90 What is 0.5749488 rounded to one decimal place? 0.6 What is -27.24275 rounded to the nearest ten? -30 What is 371.1711 rounded to zero decimal places? 371 Round -0.03955997 to five dps. -0.03956 What is -0.00003601339 rounded to 6 decimal places? -0.000036 What is 171256000 rounded to the nearest 1000000? 171000000 Round -164586470 to the nearest 1000000. -165000000 What is 512913.3 rounded to the nearest 100000? 500000 What is 266.5067 rounded to the nearest ten? 270 What is -30881200 rounded to the nearest 100000? -30900000 Round -5.412442 to the nearest integer. -5 Round 22.846875 to two dps. 22.85 Round -26.9789 to zero dps. -27 Round -1.166033 to 3 decimal places. -1.166 Round -0.253268 to 2 dps. -0.25 What is -0.146502957 rounded to 2 decimal places? -0.15 Round -150650000 to the nearest one million. -151000000 Round -4.536919 to 2 dps. -4.54 What is -0.000869031 rounded to five decimal places? -0.00087 Round 240.84249 to zero decimal places. 241 What is 0.0000016933135 rounded to seven dps? 0.0000017 Round 4.4705847 to three decimal places. 4.471 Round -32.4221 to 1 decimal place. -32.4 Round -0.0020285 to 4 decimal places. -0.002 Round 0.98976 to two decimal places. 0.99 What is -54683.869 rounded to the nearest one thousand? -55000 What is 0.00003692819 rounded to five dps? 0.00004 Round 352.901 to the nearest 10. 350 Round 43143.8 to the nearest one thousand. 43000 Round -0.003522181 to 4 decimal places. -0.0035 What is -161382.1 rounded to the nearest 10000? -160000 Round -399.4452 to the nearest 10. -400 What is -45.72 rounded to 0 dps? -46 Round -583019 to the nearest 10000. -580000 What is -0.003659467 rounded to three dps? -0.004 What is -52029870 rounded to the nearest ten thousand? -52030000 What is -57183.93 rounded to the nearest 10000? -60000 Round 0.180722 to 2 dps. 0.18 Round -0.00060567359 to 5 decimal places. -0.00061 What is 3700154 rounded to the nearest one hundred thousand? 3700000 What is 0.0024715167 rounded to 4 decimal places? 0.0025 What is 0.7526556 rounded to the nearest integer? 1 What is 4541000.9 rounded to the nearest one hundred thousand? 4500000 What is 0.00144498 rounded to 5 decimal places? 0.00144 Round 241.925 to the nearest 10. 240 Round 0.0000176097 to 6 decimal places. 0.000018 What is -0.088097 rounded to 3 dps? -0.088 What is -137.433 rounded to one dp? -137.4 What is -12275.16 rounded to the nearest one hundred? -12300 What is -0.04078566 rounded to 5 dps? -0.04079 What is 0.000000574964 rounded to 7 dps? 0.0000006 What is -2675011 rounded to the nearest 100000? -2700000 Round 1.04904 to one decimal place. 1 Round -23396600 to the nearest 1000000. -23000000 Round 2.060343 to three decimal places. 2.06 What is 2984 rounded to the nearest 1000? 3000 Round 43502.5 to the nearest one hundred. 43500 Round -0.1923708 to four decimal places. -0.1924 What is 49.1059 rounded to one dp? 49.1 What is 1201340 rounded to the nearest ten thousand? 1200000 What is -0.7144719
{ "pile_set_name": "DM Mathematics" }
te (-30)/(-8)*(-1192)/(-8195). 6/11 What is the value of (13/(-26))/(3*2/(-4))? 1/3 (-175)/(-315)*3/(-10) -1/6 What is the value of (10/60*-9)/(3/(-8))? 4 What is (((-40)/12)/((-2)/3))/1? 5 (2/6)/((-3)/18*2) -1 (-14)/(224/16)*(-6)/2 3 25/15*24/10 4 Evaluate ((-2)/(-6))/(12/(504/(-2))). -7 Calculate ((-18)/72)/(11/(-8)). 2/11 Evaluate ((-5)/((-5)/3))/(6/(-8)). -4 Evaluate 0/9*2/(-4). 0 What is ((-16)/1)/(32/16)? -8 ((-4)/(-56))/((-48)/(-84)) 1/8 ((-18)/(-15))/(((-28)/(-10))/7) 3 116/(-145)*(-125)/10 10 (6/(-2))/(1/(-1)) 3 What is the value of (2/12)/(20/90)? 3/4 Calculate (-9*4/12)/(-1). 3 What is (6*-1)/(777/111)? -6/7 Evaluate (45/(-12))/((-36)/8). 5/6 Calculate 3*10/5*4/8. 3 What is ((-1)/(-4)*2)/((-22)/220)? -5 What is the value of (-12)/(-66)*((-5)/2)/(-5)? 1/11 What is the value of 870/348*(-4)/135? -2/27 What is ((-240)/(-150))/((-78)/15)? -4/13 Evaluate (-16)/4*(60/(-16))/3. 5 What is the value of ((-8)/(-6))/(72/(-162))? -3 What is the value of (6/(-60))/(-1*(-2)/(-2))? 1/10 Evaluate (-7)/(-31)*270/945. 2/31 Evaluate 1/42*9*7. 3/2 What is the value of 18/(-204)*4/12*-4? 2/17 ((-2)/4)/((-3)/(-18)*3) -1 Calculate ((0/(-5))/4)/(-3). 0 What is the value of (-60)/(-36)*12/70? 2/7 Calculate -1*(8/(-10))/(24/(-60)). -2 5*(-18)/(-675)*10/6 2/9 What is (33/22)/((-18)/(-24))? 2 ((-3)/(-9))/((-14)/12) -2/7 What is the value of (-1*(-15)/(-20))/3*-36? 9 ((-14)/84)/(10/(-24)) 2/5 Calculate (28/42)/(4/(-6)). -1 Calculate (2/1)/(((-6)/(-1))/(-6)). -2 273/(-728)*(-8)/18 1/6 (-4)/30*30/(-12)*-6 -2 Calculate (-1075)/129*6/10. -5 Evaluate ((-9)/(-84))/(12/192*12). 1/7 Calculate (6/36)/((-4)/(-18)). 3/4 9*7/504*-6 -3/4 What is the value of -7*1/(-6)*(-1)/7? -1/6 Calculate ((-7)/28)/(63/108). -3/7 (-16)/(-12)*(-117)/(-52) 3 Calculate (-335)/(-469)*1*7. 5 (-6)/(-2)*(-60)/315 -4/7 What is the value of 3/2*192/(-360)? -4/5 24/(-32)*12*(-2)/(-6) -3 (12/(-72))/((-2)/8) 2/3 Calculate 16/(-24)*-6*(-2)/(-2). 4 What is the value of (-12*-2*(-5)/(-20))/(-11)? -6/11 What is ((-1)/(-5))/(30*31/4650)? 1 (-2)/18*-3*(-6)/4 -1/2 What is ((243/42)/(-27))/((-1)/2)? 3/7 Calculate 1/(9/18*-25). -2/25 5/(-6)*(-6)/(-20) -1/4 What is the value of (2/(-3))/(4/(-6))? 1 What is the value of (-2)/(3*(-1)/((-3)/(-2)))? 1 ((-1)/2)/(((-9)/(-9))/(-4)) 2 Calculate 7/14*3/(-6)*1. -1/4 Evaluate (8/16)/(1*(-1)/4). -2 What is the value of (-128)/96*(42/(-20))/7? 2/5 What is the value of (-2)/(-2)*5/(-5)*-5? 5 Calculate (2/(-6))/((-2)/(-30)). -5 What is the value of ((-2)/4)/(5/(-300)*-5)? -6 111/(-1998)*(-6)/(-3) -1/9 1/(-2)*(-876)/219 2 What is the value of (5/(-2))/((13/2)/13)? -5 ((-6)/(-10))/(33/(-33)) -3/5 Evaluate ((-4)/3)/(7/(231/22)). -2 What is the value of 6/(-51)*(-1)/(-1)? -2/17 What is the value of (1*(-80)/8)/2*2? -10 Calculate (2/4)/((-4)/2). -1/4 Calculate ((-5)/(-30))/(20/(-30)). -1/4 What is (-35)/(-5)*(-9)/(252/8)? -2 Calculate 5/(-20)*10*(-2)/5. 1 Evaluate (1935/(-516))/(3/(-4)). 5 (16/(-32))/(2/(-4)) 1 What is 0*-4*(-4)/16? 0 What is ((-4)/(-2))/(17/34)? 4 What is the value of (-1)/(((-4)/(-8))/1)? -2 What is the value of ((-9)/((-99)/(-44)))/5? -4/5 What is (((-6)/(-7))/(-3))/((-78)/(-117))? -3/7 4/(-6)*1*(-36)/40 3/5 What is the value of (31/(-217))/((-4)/(-7))? -1/4 (54/(-81))/(22/6) -2/11 What is the value of (2/(-8))/(((-20)/(-10))/6)? -3/4 (-9)/(-15)*4/(-12) -1/5 32/8*15/(-12) -5 What is the value of ((-1)/2)/((-17)/(-85))? -5/2 Evaluate ((-14)/2)/(-7)*0. 0 Calculate (3/18)/((-4)/(-12)*-1). -1/2 Evaluate (5/100*-6)/(15/(-75)). 3/2 What is -1*(-3)/((-3)/2)? -2 Calculate 1/(9/15)*(-198)/440. -3/4 Calculate 80/40*(-6)/4. -3 ((-1)/(-6))/(4/8) 1/3 What is (4/(-18))/((-4)/6)? 1/3 Evaluate ((-5)/(30/8))/((-10)/15). 2 Calculate ((-24)/(-15))/(-8)*-5. 1 Evaluate (-2)/(-15)*((-1224)/(-16))/(-17). -3/5 Evaluate (-4)/(-22)*(-77)/(-28). 1/2 What is -2*7/21*6? -4 What is the value of 14/(-6)*(-54)/1071? 2/17 Calculate (-2)/12*(-2)/(-1). -1/3 Evaluate 3/1*(-9)/54*-2. 1 What is the value of ((-228)/95)/((-4)/(-10))? -6 108/(-36)*1/(12/16) -4 What is the value of 1/((-2)/2)*4? -4 Evaluate (-126)/882*(-7)/(-10). -1/10 What is 8/(144/81)*4/6? 3 Evaluate (-78)/975*10/(1*-2). 2/5 What is the value of (-4)/(48/20)*114/19? -10 2/(-10)*2*7/14 -1/5 Evaluate 11/(77/(-14))*1*-3. 6 What is the value of 1/(2/(8/48*-4))? -1/3 ((-14)/(-168)*2)/((-3)/(-18)) 1 What is (-18)/63*14/(-6)*-6? -4 What is the value of ((-9)/15)/((-9)/45)? 3 Calculate ((-72)/60)/((-12)/(-40)). -4 What is the value of 24/16*8/(-4)? -3 Evaluate (-1)/(-6)*(-60)/20*1. -1/2 What is 3/10*(-68)/(-102)? 1/5 What is the value of 2/(-3)*36/(-24)? 1 ((-9)/(-21))/((-63)/1323) -9 What is the value of (-8*1)/(6/(-3))? 4 Evaluate (3/(-4))/((-18)/4). 1/6 What is the value of ((-3)/(-15))/((-18)/(-36))? 2/5 Evaluate 38/(-133)*(-14)/6. 2/3 What is the value of (-1)/(2/4*1)? -2 Calculate 12/3*(-5)/5. -4 Evaluate (8/22)/(48/264). 2 What is 18/45*1/(-4)? -1/10 Calculate (-9)/(-27)*(-6)/(-4)*-1. -1/2 58/29*((-6)/(-21))/2 2/7 What is 4/10*(18/(-3))/(-24)? 1/10 (-2)/(48/20)*28/(-35) 2/3 Evaluate (9/(-297))/((1*-3)/(-9)). -1/11 Calculate 2*(-2)/6*(-648)/108. 4 Evaluate -10*((-156)/210)/(-13). -4/7 What is the value of (((-10)/(-6))/5)/((-385)/(-420))? 4/11 Evaluate (10*(-1)/(-65))/2. 1/13 What is (54/(-63))/(16/(-28))? 3/2 (-5)/(2/((-12)/6)) 5 What is the value of 4/((21/3)/14)? 8 What is the value of 3*(-1)/((-9)/12)? 4 What is the value of ((-6)/4)/((-27)/(-126))? -7 What is the value of 7/((-42)/(-20))*(-9)/6? -5 Evaluate 14/(-7)*(-24)/8. 6 What is (3/(-18))/((1/1)/8)? -4/3 Calculate -1*(-11)/(77/(-21)). -3 What is (11/((-66)/(-4)))/(11/(-3))? -2/11 (-3)/(-21)*49/42*8 4/3 15/(-24)*(-100)/375 1/6 Evaluate (4/5)/(-1)*(-60)/(-12). -4 What is the value of 80/12*21/28? 5 Calculate (14/((-168)/15))/1. -5/4 Evaluate (-564)/47*2/6. -4 (-48)/(-36)*(-54)/12 -6 What is the value of (-7)/(-84)*4*(-1)/3? -1/9 What is the value of 87/29*((-6)/(-2))/3? 3 Calculate ((-9)/((-54)/(-6)))/((-1)/(-3)). -3 What is ((-3)/(-5))/((24/(-20))/(-6))? 3 Calculate ((-78)/65)/((-16)/(-10)). -3/4 Calculate ((-2)/18)/(8/48). -2/3 Calculate 3/(4/(-40)*6). -5 Calculate ((-6)/4)/(-9*(-7)/(-21)). 1/2 Calculate 55/(-198)*(-9)/(-15). -1/6 2/(-4)*0*(-1)/1 0 Calculate (4/(-40)*-2)/(2/50). 5 Evaluate 468/52*(-1)/6. -3/2 (6/((-96)/8))/(12/4) -1/6 What is the value of ((-21)/(-7))/(3/28*4)? 7 (24/6)/4*2/(-8) -1/4 Calculate ((-11)/220*5)/(-1). 1/4 (((-171)/(-18))/(-19))/((-4)/(-2)) -1/4 30/(-2)*1*(-1)/(-3) -5 What is ((-3)/9*-15)/3*-3? -5 What is the value of -1*(-5)/(-6)*141/(-235)? 1/2 What is the value of (21/6)/((-19)/38)? -7 Calculate ((-104)/(-26))/(20/2). 2/5 Evaluate ((-2)/(-14))/((72/24)/(-3)). -1/7 What is (1/(-4))/(25/(-20))? 1/5 Evaluate (14/42)/((-4)/((-32)/12)). 2/9 Calculate 220/(-22)*-1*2/(-4). -5 What is 0/((-3)/6*2)? 0 What is (1/(-15))/((-4)/(-36))? -3/5 Calculate 2/6*(-48)/8. -2 What is ((-2)/60)/((-11)/33)? 1/10 What is 3/((-288)/8)*2? -1/6 What is the value of ((-12)/54*-9)/1? 2 Evaluate (-45)/(-120)*(-1)/(-3). 1/8 (3/(-15))/((-26)/(-910)) -7 What is the value of (6/(-21))/(10/(-28))? 4/5 What is (17/(306/(-30)))/(2/6)? -5 Calculate 1*-1*(-12)/12. 1 What is the value of 4/10*-5*(-2)/(-8)? -1/2 What is the value of (21/49)/((-4)/4)? -3/7 Calculate (0/1)/(62/(-62)). 0 Calculate 1/(((-2)/(-4))/(3/(-18))). -1/3 Calculate ((-40)/(-16))/((-1)/(-2)). 5 What is the value of (-36)/(-48)*2/3? 1/2 Evaluate ((-8)/(-6))/(12/18). 2 What is the value of ((-14)/126)/(3/6)? -2/9 Calculate (-30)/(-25)*(-5)/15. -2/5 What is (6/(6/2)*-2)/(-1)? 4 Evaluate (8/(-36))/((-3)/54). 4 ((-10)/6)/((-265)/1113) 7 (-27)/18*6/(-9) 1 What is (-4)/4*2*4? -8 Calculate (-10)/(-45)*((-1)/1)/(-1). 2/9 Calculate ((-35)/(-7))/(2/((-2)/(-1))). 5 (0/3)/(8/12*3) 0 What is the value of (-3)/(-3)*1*3/(-7)? -3/7 What is (24/(-21))/((-6)/(-3))? -4/7 What is (1/(-5)*6)/((-110)/275)? 3 0/(-8*7/(-56)) 0 Evaluate 204/(-34)*(-2)/16. 3/4 What is the value of 29/(-174)*-4*3? 2 What is the value of (6/(-28))/((-1)/((-16)/12))? -2/7 (12/105)/((16/(-20))/(-2)) 2/7 (20/8)/((-2)/(-4)) 5 What is 99/66*(-2)/5? -3/5 Evaluate (84/90)/14*(-6)/2. -1/5 Evaluate (4/8*2)/((-2)/6). -3 What is 1/46*((-572)/(-13))/(-11)? -2/23 What is (768/320)/(9/30)? 8 Calculate -5*6/3*1/4. -5/2 Calculate 30/45*(-3)/7*-1. 2/7 Evaluate (-5)/(-10)
{ "pile_set_name": "DM Mathematics" }
-35, -12, 9, 28, 45? -d**2 + 26*d - 60 What is the d'th term of 582, 570, 534, 462, 342, 162, -90? -2*d**3 + 2*d + 582 What is the m'th term of 47, 51, 43, 17, -33, -113? -m**3 + 11*m + 37 What is the z'th term of 58, 509, 1742, 4147, 8114, 14033? 65*z**3 + z**2 - 7*z - 1 What is the o'th term of 1687, 1683, 1661, 1609, 1515, 1367, 1153? -2*o**3 + 3*o**2 + o + 1685 What is the u'th term of -63, -127, -191, -255? -64*u + 1 What is the h'th term of 8, 11, 26, 59, 116, 203, 326, 491? h**3 - 4*h + 11 What is the p'th term of 115, 222, 329, 436? 107*p + 8 What is the o'th term of 1581, 1583, 1585, 1587, 1589? 2*o + 1579 What is the k'th term of -956, -960, -966, -974, -984? -k**2 - k - 954 What is the p'th term of -22, -19, -14, -7? p**2 - 23 What is the k'th term of 83, 56, 33, 20, 23, 48, 101, 188? k**3 - 4*k**2 - 22*k + 108 What is the t'th term of -638, -644, -650, -656, -662? -6*t - 632 What is the f'th term of 41, 27, 15, 5? f**2 - 17*f + 57 What is the x'th term of -29, -53, -83, -125, -185, -269, -383? -x**3 + 3*x**2 - 26*x - 5 What is the r'th term of 38, 73, 102, 119, 118? -r**3 + 3*r**2 + 33*r + 3 What is the r'th term of -10, -17, -34, -67, -122, -205, -322? -r**3 + r**2 - 3*r - 7 What is the o'th term of -65, -245, -727, -1661, -3197? -25*o**3 - o**2 - 2*o - 37 What is the v'th term of -74, -62, -48, -32, -14, 6, 28? v**2 + 9*v - 84 What is the q'th term of 20, 35, 48, 59, 68? -q**2 + 18*q + 3 What is the z'th term of -452, -464, -484, -512, -548, -592, -644? -4*z**2 - 448 What is the j'th term of 205, 206, 205, 202, 197, 190? -j**2 + 4*j + 202 What is the v'th term of -701, -1417, -2127, -2825, -3505, -4161? v**3 - 3*v**2 - 714*v + 15 What is the w'th term of 4, 7, 12, 19, 28, 39? w**2 + 3 What is the d'th term of -33, -23, 23, 123, 295? 3*d**3 - 11*d - 25 What is the v'th term of -254, -648, -1304, -2222, -3402? -131*v**2 - v - 122 What is the s'th term of -152, -171, -198, -233? -4*s**2 - 7*s - 141 What is the m'th term of -154, -303, -456, -613, -774, -939? -2*m**2 - 143*m - 9 What is the t'th term of -499, -501, -503, -505? -2*t - 497 What is the l'th term of 10, 2, -8, -20? -l**2 - 5*l + 16 What is the m'th term of -12, -19, -32, -51? -3*m**2 + 2*m - 11 What is the l'th term of -3, -18, -29, -36? 2*l**2 - 21*l + 16 What is the o'th term of -26, -60, -104, -164, -246? -o**3 + o**2 - 30*o + 4 What is the v'th term of -90, -89, -88, -87? v - 91 What is the m'th term of -914, -1830, -2746, -3662, -4578? -916*m + 2 What is the n'th term of -434, -861, -1288? -427*n - 7 What is the k'th term of -43, -68, -77, -64, -23, 52? k**3 + 2*k**2 - 38*k - 8 What is the j'th term of 115, 510, 1177, 2122, 3351, 4870, 6685? j**3 + 130*j**2 - 2*j - 14 What is the c'th term of 12, 95, 308, 711, 1364, 2327, 3660? 10*c**3 + 5*c**2 - 2*c - 1 What is the o'th term of 82, 165, 248, 331, 414, 497? 83*o - 1 What is the k'th term of -63, -123, -183, -243, -303, -363? -60*k - 3 What is the w'th term of -90, -88, -76, -48, 2? w**3 - w**2 - 2*w - 88 What is the b'th term of 1573, 1574, 1575, 1576, 1577? b + 1572 What is the w'th term of -110, -94, -54, 22, 146, 330, 586? 2*w**3 + 2*w - 114 What is the s'th term of 1156, 2311, 3468, 4627? s**2 + 1152*s + 3 What is the w'th term of -35, -78, -121, -164, -207? -43*w + 8 What is the t'th term of -99, -199, -315, -453, -619, -819, -1059? -t**3 - 2*t**2 - 87*t - 9 What is the h'th term of -813, -812, -811, -810? h - 814 What is the c'th term of -349, -324, -299? 25*c - 374 What is the t'th term of 393, 783, 1173, 1563? 390*t + 3 What is the t'th term of -37, -50, -97, -196, -365, -622, -985, -1472? -3*t**3 + t**2 + 5*t - 40 What is the u'th term of -202, -180, -158? 22*u - 224 What is the w'th term of 1, 39, 159, 403, 813? 7*w**3 - w**2 - 8*w + 3 What is the g'th term of 307, 292, 253, 178, 55? -2*g**3 - g + 310 What is the t'th term of -1736, -1737, -1738, -1739, -1740, -1741? -t - 1735 What is the s'th term of -6, -34, -72, -114, -154, -186? s**3 - 11*s**2 - 2*s + 6 What is the r'th term of 217, 208, 177, 112, 1, -168, -407, -728? -2*r**3 + r**2 + 2*r + 216 What is the p'th term of 3642, 3633, 3612, 3573, 3510? -p**3 - 2*p + 3645 What is the k'th term of 1074, 1073, 1072, 1071? -k + 1075 What is the n'th term of 169, 176, 179, 172, 149, 104, 31? -n**3 + 4*n**2 + 2*n + 164 What is the o'th term of 98, 103, 108? 5*o + 93 What is the q'th term of 41, 34, 19, -4, -35, -74, -121? -4*q**2 + 5*q + 40 What is the q'th term of -1258, -2516, -3774, -5032, -6290? -1258*q What is the z'th term of -192, -777, -1758, -3141, -4932, -7137, -9762? -z**3 - 192*z**2 - 2*z + 3 What is the n'th term of -299, -284, -253, -200, -119, -4, 151, 352? n**3 + 2*n**2 + 2*n - 304 What is the k'th term of 348, 347, 346, 345? -k + 349 What is the j'th term of -41, -148, -323, -566, -877, -1256, -1703? -34*j**2 - 5*j - 2 What is the n'th term of -42, -44, -46, -48, -50, -52? -2*n - 40 What is the p'th term of 20, -18, -58, -100, -144? -p**2 - 35*p + 56 What is the x'th term of 1502, 1511, 1526, 1547, 1574, 1607, 1646? 3*x**2 + 1499 What is the b'th term of -14, -73, -162, -275, -406, -549, -698, -847? b**3 - 21*b**2 - 3*b + 9 What is the g'th term of -5, -29, -83, -179, -329, -545, -839? -2*g**3 - 3*g**2 - g + 1 What is the i'th term of 19, 132, 447, 1066, 2091, 3624, 5767, 8622? 17*i**3 - i**2 - 3*i + 6 What is the l'th term of -64, -71, -76, -79, -80, -79? l**2 - 10*l - 55 What is the b'th term of -2423, -4855, -7289, -9725? -b**2 - 2429*b + 7 What is the m'th term of 12, 17, 16, 9? -3*m**2 + 14*m + 1 What is the j'th term of 85, 742, 2519, 5974, 11665, 20150, 31987? 93*j**3 + 2*j**2 - 10 What is the x'th term of -34, -79, -122, -163, -202, -239? x**2 - 48*x + 13 What is the h'th term of -29, -333, -1163, -2783, -5457, -9449, -15023? -44*h**3 + h**2 + h + 13 What is the x'th term of -96, -108, -134, -180, -252? -x**3 - x**2 - 2*x - 92 What is the z'th term of 180, 190, 216, 264, 340, 450, 600, 796? z**3 + 2*z**2 - 3*z + 180 What is the b'th term of -6199, -12396, -18593, -24790? -6197*b - 2 What is the v'th term of 6, 1, -2, 3, 22, 61, 126? v**3 - 5*v**2 + 3*v + 7 What is the c'th term of 585, 594, 625, 690, 801, 970, 1209? 2*c**3 - c**2 - 2*c + 586 What is the s'th term of -31, -51, -71, -91, -111, -131? -20*s - 11 What is the q'th term of 9733, 9737, 9741, 9745, 9749, 9753? 4*q + 9729 What is the m'th term of 39, 79, 117, 153, 187, 219, 249? -m**2 + 43*m - 3 What is the m'th term of 4, 7, 10, 13, 16? 3*m + 1 What is the w'th term of 270, 273, 276, 279? 3*w + 267 What is the n'th term of -41, -33, -11, 31, 99, 199, 337, 519? n**3 + n**2 - 2*n - 41 What is the w'th term of -167, -422, -667, -896, -1103, -1282, -1427, -1532? w**3 - w**2 - 259*w + 92 What is the l'th term of -114, -38, 38, 114, 190? 76*l - 190 What is the n'th term of -2603, -5204, -7803, -10400, -12995, -15588, -18179? n**2 - 2604*n What is the u'th term of -39, -71, -103? -32*u - 7 What is the f'th term of -3, 14, 31, 48, 65? 17*f - 20 What is the u'th term of 15, 34, 75, 150, 271? 2*u**3 - u**2 + 8*u + 6 What is the r'th term of -18, -49, -100, -171? -10*r**2 - r - 7 What is the c'th term of 2847, 2866, 2889, 2910, 2923, 2922, 2901? -c**3 + 8*c**2 + 2*c + 2838 What is the d'th term of -964, -1932, -2900, -3868? -968*d + 4 What is the y'th term of 20, 30, 44, 62, 84, 110? 2*y**2 + 4*y + 14 What is the l'th term of -17, -37, -55, -71, -85, -97, -107? l**2 - 23*l + 5 What is the j'th term of 380, 1510, 3394, 6032, 9424, 13570? 377*j**2 - j + 4 What is the n'th term of -20, -20, -10, 16, 64, 140, 250? n**3 - n**2 - 4*n - 16 What is the t'th term of 802, 804, 816, 844, 894? t**3 - t**2 - 2*t + 804 What is the q'th term of -427, -428, -429, -430? -q - 426 What is the x'th term of -23, -6, 15, 34, 45? -x**3 + 8*x**2 - 30 What is the y'th term of 460, 913, 1360, 1801? -3*y**2 + 462*y + 1 What is the m'th term of 77, 59, 25, -31, -115, -233, -391, -595? -m**3 - 2*m**2 - 5*m + 85 What is the g'th term of -20, -18, -16? 2*g - 22 What is the i'th term of -197, -191, -185, -179? 6*i - 203 What is the y'th term of 216, 439, 672, 915? 5*y**2 + 208*y + 3 What is the c'th term of 839, 1676, 2513, 3350, 4187, 5024? 837*c + 2 What is the a'th term of 69, 138, 207? 69*a What is the v'th term
{ "pile_set_name": "DM Mathematics" }
uence us when two letters picked without replacement from yyuyiiiykiyysugssu. 1/34 What is prob of sequence rf when two letters picked without replacement from {r: 12, x: 2, p: 3, f: 3}? 9/95 What is prob of sequence qadh when four letters picked without replacement from {h: 1, a: 1, q: 2, d: 1}? 1/60 Two letters picked without replacement from {y: 9}. Give prob of sequence yy. 1 Calculate prob of sequence ggll when four letters picked without replacement from {g: 2, l: 3, z: 4}. 1/252 Four letters picked without replacement from zmmzfvfyziiv. What is prob of sequence fimz? 1/495 Four letters picked without replacement from {k: 13, h: 3}. Give prob of sequence hkhk. 3/140 Three letters picked without replacement from nmnayyvvyn. What is prob of sequence yna? 1/80 Calculate prob of sequence iqii when four letters picked without replacement from iiiiqiiqiiq. 7/55 Calculate prob of sequence kgg when three letters picked without replacement from kgtyggtyyt. 1/120 Calculate prob of sequence hmhm when four letters picked without replacement from {m: 10, h: 10}. 45/646 What is prob of sequence cwd when three letters picked without replacement from wdcmu? 1/60 Two letters picked without replacement from cvckxavxvacklak. Give prob of sequence cc. 1/35 Calculate prob of sequence hf when two letters picked without replacement from {f: 4, a: 1, p: 2, y: 4, h: 4, m: 4}. 8/171 Calculate prob of sequence fu when two letters picked without replacement from {a: 1, u: 1, o: 1, h: 3, b: 3, f: 2}. 1/55 Three letters picked without replacement from {q: 2, g: 2, h: 2, r: 8, p: 2}. What is prob of sequence gqh? 1/420 Three letters picked without replacement from lyllrzlyrlrrlryyrl. Give prob of sequence lly. 7/204 Calculate prob of sequence zed when three letters picked without replacement from {z: 1, d: 1, v: 1, k: 1, e: 1}. 1/60 Two letters picked without replacement from {w: 2, a: 1, t: 1, c: 4, r: 7}. Give prob of sequence ct. 2/105 What is prob of sequence ygs when three letters picked without replacement from cyydyyyddyycgsdgs? 7/1020 What is prob of sequence qvvg when four letters picked without replacement from vqgvvvgdv? 5/378 Three letters picked without replacement from gggggxtgxyxxygxgl. Give prob of sequence ytx. 1/408 Calculate prob of sequence pjpj when four letters picked without replacement from {p: 12, j: 3, s: 2}. 33/2380 Two letters picked without replacement from uuuuvuuuuuvvuuuuuuuu. Give prob of sequence uu. 68/95 Four letters picked without replacement from {f: 10, x: 1, p: 1, n: 2}. Give prob of sequence pxff. 15/4004 What is prob of sequence xx when two letters picked without replacement from zxcxzxczzzxzcu? 6/91 Two letters picked without replacement from {p: 11, s: 1, x: 1, c: 3, j: 1, f: 2}. Give prob of sequence sp. 11/342 Two letters picked without replacement from {w: 2, k: 7}. What is prob of sequence wk? 7/36 What is prob of sequence lll when three letters picked without replacement from {l: 9}? 1 Four letters picked without replacement from {i: 12, t: 3}. What is prob of sequence ttit? 1/455 What is prob of sequence vvii when four letters picked without replacement from {i: 9, v: 10}? 45/646 Two letters picked without replacement from {v: 3, b: 2}. Give prob of sequence bb. 1/10 Calculate prob of sequence tsts when four letters picked without replacement from sststsststs. 7/110 Three letters picked without replacement from lslsliizllll. Give prob of sequence isl. 7/330 Calculate prob of sequence az when two letters picked without replacement from {l: 1, r: 2, z: 1, a: 2, t: 1}. 1/21 Two letters picked without replacement from naaan. What is prob of sequence na? 3/10 Calculate prob of sequence ak when two letters picked without replacement from {a: 2, w: 1, u: 1, n: 2, k: 1}. 1/21 Four letters picked without replacement from jhheyyeekhkkhkjkk. What is prob of sequence kkhj? 1/238 What is prob of sequence dyw when three letters picked without replacement from {k: 2, w: 1, d: 1, y: 1, s: 2}? 1/210 Three letters picked without replacement from mdvdumvmmuuuuduvd. Give prob of sequence dmu. 2/85 What is prob of sequence bfb when three letters picked without replacement from lbfzbbfbozfbb? 15/286 Calculate prob of sequence pu when two letters picked without replacement from {u: 1, l: 1, p: 2, j: 2}. 1/15 Calculate prob of sequence koxo when four letters picked without replacement from vokovkvkokokxvokkxx. 35/7752 What is prob of sequence tjjt when four letters picked without replacement from {j: 2, t: 3}? 1/10 Calculate prob of sequence kitt when four letters picked without replacement from kttwttwwkwwtwtttiw. 7/4590 Calculate prob of sequence gftt when four letters picked without replacement from {g: 2, t: 3, f: 5}. 1/84 Three letters picked without replacement from ofsqifsoiqiqssfizsff. What is prob of sequence fiq? 1/114 Calculate prob of sequence jwjf when four letters picked without replacement from {w: 5, h: 1, e: 1, b: 3, f: 1, j: 4}. 1/546 Two letters picked without replacement from {z: 2, k: 1, c: 1}. Give prob of sequence kc. 1/12 Two letters picked without replacement from {b: 1, v: 1, c: 2, f: 4, u: 4, x: 2}. Give prob of sequence uv. 2/91 Two letters picked without replacement from xsgsstzxaaszxsz. What is prob of sequence zs? 1/14 Two letters picked without replacement from mvrrvfrvajj. Give prob of sequence fm. 1/110 Two letters picked without replacement from {i: 2, y: 7}. Give prob of sequence ii. 1/36 What is prob of sequence pvvp when four letters picked without replacement from {v: 4, s: 2, p: 2, c: 2}? 1/210 Calculate prob of sequence nn when two letters picked without replacement from nnfnf. 3/10 What is prob of sequence xrx when three letters picked without replacement from {x: 13, r: 3}? 39/280 Calculate prob of sequence vv when two letters picked without replacement from tttvttvtttttttvtvt. 2/51 Four letters picked without replacement from kokkkakkaokkoook. What is prob of sequence aooo? 1/364 Three letters picked without replacement from zlzzczzll. Give prob of sequence zzl. 5/42 Calculate prob of sequence mb when two letters picked without replacement from tbmsr. 1/20 Four letters picked without replacement from {q: 7, x: 2, i: 2}. Give prob of sequence ixix. 1/1980 Three letters picked without replacement from {g: 2, c: 2, y: 1, d: 3, f: 4}. What is prob of sequence ggf? 1/165 Three letters picked without replacement from ldlddddlddddddd. What is prob of sequence lll? 1/455 Two letters picked without replacement from {s: 2, r: 4}. What is prob of sequence rr? 2/5 Three letters picked without replacement from eeeerrrererrerrrorr. Give prob of sequence roe. 77/5814 Calculate prob of sequence huh when three letters picked without replacement from hmtuth. 1/60 Two letters picked without replacement from {x: 4, t: 4, q: 11}. Give prob of sequence qq. 55/171 What is prob of sequence oooo when four letters picked without replacement from {o: 8, y: 4, h: 4}? 1/26 What is prob of sequence uuu when three letters picked without replacement from vuuuuvuuuu? 7/15 Two letters picked without replacement from {e: 4, x: 2, s: 4}. What is prob of sequence sx? 4/45 What is prob of sequence gc when two letters picked without replacement from {d: 1, g: 5, u: 4, j: 1, c: 9}? 9/76 Two letters picked without replacement from {b: 8, z: 2, m: 3, a: 4}. What is prob of sequence ab? 2/17 Two letters picked without replacement from rrrr. What is prob of sequence rr? 1 Two letters picked without replacement from {d: 1, c: 2, u: 1, z: 9, l: 2, n: 3}. Give prob of sequence cc. 1/153 Calculate prob of sequence bu when two letters picked without replacement from {u: 1, x: 2, n: 2, b: 9}. 9/182 Four letters picked without replacement from {p: 13, g: 3, x: 2}. What is prob of sequence xpxp? 13/3060 Four letters picked without replacement from lwlwwlw. Give prob of sequence wllw. 3/35 Two letters picked without replacement from {j: 7, l: 3, g: 1, a: 1}. What is prob of sequence gl? 1/44 What is prob of sequence hmm when three letters picked without replacement from {m: 9, h: 11}? 11/95 What is prob of sequence nae when three letters picked without replacement from eeeeeeaeenanneneeen? 20/969 Three letters picked without replacement from oicic
{ "pile_set_name": "DM Mathematics" }
b + 12. Suppose 0 = z + 28 - b. Which is bigger: z or -13? -13 Let o = -0.11 + 15.11. Let s = o + 15. Let n = s - 30. Which is greater: n or 6/13? 6/13 Let h(k) be the third derivative of -k**6/120 - k**5/5 - 13*k**4/24 - 7*k**3/2 - 146*k**2. Let o be h(-11). Which is smaller: o or 7? o Suppose 0 = 7*t - 11 - 10. Suppose 4*q + 4*m = 0, -5*m - 50 = -2*q - t*q. Let s be 204/585 + (-2)/q. Which is smaller: 1 or s? s Let c(k) = -k + 9. Let t(n) = -6*n - 4. Let w be t(-2). Let f be c(w). Suppose 0 = -6*o + f - 25. Which is greater: o or -9? o Let a = 66 + -62. Suppose -11*m = -10*m - 2*n + 10, n = a. Let g = -35 + 17. Which is smaller: m or g? g Suppose 5*x + 166 = q, 3*q - 372 = -369. Suppose -k = -5*k - 132. Is k <= x? True Suppose -43*t + 49*t - 1932 = 0. Suppose -29*b + t = -22*b. Which is bigger: 47 or b? 47 Suppose 6 = -c + 3*z, -5*c + 2*z - z + 26 = 0. Suppose x = c*x - 90. Let b be -7 + (-1688)/(-72) - (-8)/(-18). Which is bigger: b or x? x Let q be ((-411642)/(-55))/11*15/6. Is 1701 less than q? False Let z = -95829 - -2683501/28. Is z smaller than 10? False Let v = -5693 + 85394/15. Which is smaller: 1.84 or v? v Let k = 91 - 135. Let y = k + 43. Let h be (-45)/(-35) - 2/7. Which is greater: h or y? h Let y be (-96)/15 - ((-36)/15 + 2). Let u be (-3240)/88 + y/(-99)*-3. Let n = 1075/29 + u. Which is smaller: -1 or n? -1 Let x(b) = b**3 + 10*b**2 - 2*b + 40. Let o be x(5). Which is smaller: o or 403? 403 Let j be (2 + 30/(-9))*-3. Suppose j*u = 0, 2 = 2*c - 4*u - 0. Suppose 0 = -4*q + 8, 0*n + c = 5*n + 3*q. Which is smaller: 3/19 or n? n Let s(w) = 2*w**2 - 64*w + 173. Let o be s(19). Is o <= -322? False Let o = -13630.2 - -13630. Suppose -3*x = -2*x - 3. Let v be (-4)/14*(4 - x). Which is greater: v or o? o Let k(o) = o**3 + 29*o**2 + 221*o + 57. Let f be k(-32). Which is smaller: -10088 or f? -10088 Suppose -12*u - 1800 = 3*u. Let k = u + -1. Is k at most -361/3? True Let w(h) = -4*h**3 - 3*h**2 - 1. Let o be w(3). Let f = o - -95. Let x be (((-255)/15)/(-34))/((-2)/164). Is x < f? False Let d = 1464/25 - 20987879/358400. Which is smaller: d or 0? 0 Let h(v) = v**3 + v + 1. Let y be h(-1). Let s = 2/20601 + 617936/968247. Let b = 283/517 - s. Is b not equal to y? True Let s = -3789 - -3789.0303. Which is smaller: 0.4 or s? s Let s = -283 - -357. Let m = -71.2 - 1.8. Let c = m + s. Which is greater: c or -0.38? c Let c be (22/429)/(2763/(-2754) - -1). Let g = -45 - -30. Are c and g equal? False Suppose 5*o + 0 = 5*n + 25, -5*o = -n - 37. Let s be 10/o*(-10)/25*0. Let j be (-7)/252 + 2/8 - s. Is 1 smaller than j? False Let l = 0.0496 - -63.0504. Let v = l - 63. Let r = -0.13 - -2.63. Which is smaller: v or r? v Let g = -78 + 78.1. Let v = 1.5 - g. Let k = 0.83 - v. Which is smaller: k or -0.1? k Let z be (-21)/(-98)*8*28. Suppose -2*l = 2*g - 102, -6*l + 8*l + 5*g = 111. Is z <= l? True Let y = -14061 + 14039. Is y greater than -1.01? False Suppose 36859 = 3*n + 5*k, 0 = 542*n - 540*n + 2*k - 24578. Is 12293 < n? False Let v = 7.3 + -7. Suppose -283*f + 279*f + 2*z = -268, -f + 5*z = -76. Let w = 100 - f. Is v at most w? True Suppose -3*l = 4*h - 17, 16*h - 3*l + 26 = 11*h. Let q = 123 + -186. Which is bigger: h or q? h Suppose 5*m + 780 = 7*m - 6*m. Which is smaller: m or -189? m Let b = 0.05911 + 377.94089. Which is bigger: -2/5 or b? b Let r = 1 - 1.1. Suppose 0 = 3*k - 1161 + 249. Let w = -297 + k. Are r and w equal? False Let q be (1 - -5)*(-399)/(-42). Suppose 5*i - 47 = 3*u, -13*u + 8*u + 3*i = q. Do -4 and u have different values? True Suppose 0 = -3*g + 11 + 19. Suppose 0 = -g*l + 15*l. Let u = 4/727 + -1267/98145. Is u smaller than l? True Suppose 5*k + 78 = -72. Suppose 189*u - 172 = 194*u + 3*t, 3*t + 76 = -2*u. Is k greater than u? True Suppose 53*x + 0*x - 41 - 12 = 0. Let d = 3158/7 - 129576/287. Do x and d have the same value? False Let d(s) = -s**3 - 2*s**2 - s. Let p be d(0). Let n = 25 + -23. Suppose p = -4*v - n*v. Is v bigger than 1/3? False Let j = 20 + -21. Let i = -0.9 + j. Let t = -6.9 - i. Which is greater: -0.1 or t? -0.1 Let i = 71/19 + -906/95. Let t = -10 - -9.9. Which is greater: i or t? t Let m = 22.5883 - 22.6. Let w = 0.0083 - m. Which is smaller: -1.7 or w? -1.7 Let y = 10198156/12955 + 4/2591. Let s = -2708 - -1918. Let f = s + y. Is f > -4? True Suppose 440 + 640 = -12*c. Let y be 25/(-2)*36/c. Suppose 0 = -k + 1 + 6. Is y greater than k? False Let m = 194 + -177. Let l be 1*14 - (-1 - 3). Is m < l? True Let d = 5 - -4. Let v(f) = 2*f**2 - 17*f - 10. Let y be v(d). Suppose 0 = -t + 3 - 12. Which is smaller: y or t? t Suppose 0 = -2*j - 10, 27*c - 250 = 32*c + 3*j. Which is greater: -48 or c? c Let m = -3562.63 - -3575. Which is smaller: -2 or m? -2 Suppose 26*a - 24*a - 21*m = 1326, 5*m - 1326 = -2*a. Let x = 403 - -260. Do x and a have different values? False Suppose -3825559 = 246*b + 381779. Is -17101 greater than b? True Let f be (100/(-16))/(-25)*-4. Which is greater: f or -24/137? -24/137 Suppose -54*q - 82*q - 604 - 4836 = 0. Let i be -3*13 - (1 + 1). Is i <= q? True Let m be 0/(6/(-6)) + -6. Let y be (-9845)/(-61050) - ((-7)/m + -1). Which is greater: y or -1? y Let r be (-12176)/(-761)*2*3/(-2). Do r and -51 have the same value? False Let b be ((-30)/1400)/((-1)/4). Suppose -10*t = -9*t. Is b not equal to t? True Suppose -7*q - 2*i = -6*q, 0 = 2*q - 3*i - 7. Let l be 17/(-37) - (11/q)/(-11). Is l at least as big as 0? True Let o = 5326.9 + -5327. Which is smaller: -2504 or o? -2504 Suppose 0 = -3*s + 7*s. Suppose s = -2*k - 2*j - 18, -3*j - 13 = 3*k - 2*k. Let l = -1226.06 + 1226. Do k and l have different values? True Suppose 267 = 14*r + 85. Suppose -r*z - 3*k = -9*z + 384, -8 = 2*k. Are z and -93 non-equal? False Let i = 704 + -704. Let z be 32/692*-1*(2 - 1). Is z less than i? True Let o = -8941 - -8941. Suppose -14 = -0*d - d. Let k be 1 + (d/(-26) - 0). Is k >= o? True Let v = -3 - -10. Suppose -10*b = -46 + 6. Suppose 3*t - 3 = 0, z - 2 = 2*t - b. Which is bigger: z or v? v Let d(w) = w**2 + 8*w - 4. Let j be d(-8). Let g be 0 - 2/j*0. Let n = 88/4247 - -6/137. Which is smaller: g or n? g Let t(i) = -i**2 - 17*i + 31. Let w(p) = 2*p**2 + 35*p - 63. Let x(k) = -5*t(k) - 3*w(k). Let m = -8403 - -8384. Let s be x(m). Which is smaller: 54 or s? s Let g = -203 - -121. Let c = g - -27. Let x = -51 - c. Is 2 smaller than x? True Let z be (-4)/11 + (-38475)/(-8250). Which is bigger: 4 or z? z Let z be ((95/6)/19)/((-4)/32) - -7. Are -8/423 and z unequal? True Suppose -6*q = -9*q - 6, 7*s = 2*q + 1495. Are 224 and s equal? False Let y(c) = 102*c + 110. Let s be y(-5). Let i = s + 789/2. Which is smaller: i or -6? -6 Let u be -1 + (8/(-28) - 5603/(-7189)). Which is bigger: u or 0? 0 Let z = -7 - -9. Suppose -z*f = -52 - 198. Let j be (-35)/f - (-4)/10. Which is smaller: j or 1? j Suppose 4*r + r = y - 18259, 0 = 2*y + 3*r - 36583. Let k be (-1)/((y/8)/7). Are -1 and k nonequal? True Suppose -75*l = -88*l + 13. Is l at most as big as -3/3157? False Let n be (-1)/((-10)/(-6) - 2). Let y = 4.688 + -0.278. Let k = -4.5 + y. Is n bigger than k? True Let i be -4*((-2)/(-4))/(2/(-4)). Suppose -o - o + i = 0. Let j be ((-9)/o)/(24/32). Which is smaller: j or -3? j Let v = 94 - 74. Let k be 1120/196*(-21)/(-6). Is k not equal to v? False Let z = -70.7 + -63.4. Let v = -134 - z. Which is smaller: 69 or v? v Suppose -29*y + 30*y + x = -7, 3*y + 2*x + 20 = 0. Let w = y - -21/4. Is w >= -2/3? False Let q(h) = 4*h**2 - 3*h - 6. Let f be q(3). Suppose -f*s - 15 = -20*s. Let x be 0 - (s/(-5) + -7). Is x != 6? True Let k = -2514/5 + 2672362/5315. Is 1 at most as big as k? False Suppose -2*d - 3*d - 1105 = 0. Let g = d - -1093/5. Let w(b) = 95*b - 98. Let c be w(1). Is c smaller than g? True Let a(w) = 3*w - 20. Let x be a(7). Let r(y) = y**2 + y - 2. Let v be r(x). Suppose v*g + 11*g = -726. Which is bigger: g or -67? g Suppose 3*f - f = 22. Suppose -10 - f = -7*n. Suppose n*h = b + 21, h = 5*h - 16. Is -28/3 greater than or equal to b? False Let f = 163 + -241. Let x be 84/((-2)/(-13) - 66/f). Are x and 87 nonequal? True Let k be (-1)/2 - 55/(-22). Suppose a + 3*a + 16 = -k*l, -2*l = 4. Let i = -1.4 + 7.4. Which is smaller: a or i? a Let q(c) = c**3 - 8*c**2 + 13*c - 19. Let g be q(3). Which is greater: g o
{ "pile_set_name": "DM Mathematics" }
95/4. 28 Let g = -20 - -24. Suppose 0 = -4*i + 4*s + 52, 5*i + g*s + 13 - 33 = 0. Let w = 15 + -4. What is the lowest common multiple of i and w? 88 Let f = 94/7 - 278/21. Calculate the common denominator of f and -59/33. 231 Suppose a = -f + 20 - 3, 43 = 3*f + 5*a. Let n = f - -10. Suppose 3*l - n - 17 = 0. Calculate the smallest common multiple of l and 20. 80 Let t(x) = 2*x**3 + 10*x**2 - 11*x - 11. Let o(n) = n**3 + 5*n**2 - 6*n - 6. Let f(j) = -11*o(j) + 6*t(j). Calculate the common denominator of 56/3 and f(-5). 3 Let x(h) = 3*h + 14. Calculate the lowest common multiple of x(22) and 6. 240 Calculate the smallest common multiple of 33 and 4 - (-8)/(-12)*-3. 66 Suppose 3 + 27 = 5*x. What is the least common multiple of x and 20? 60 Let k be (-2)/(4*(-2)/60). Calculate the smallest common multiple of 8 and 20/k - (-2)/(-6). 8 Let m = 3 - -22. Suppose 0 = -u + 5 + m. Find the common denominator of -71/3 and u. 3 Calculate the common denominator of 19/8 and ((-1)/(-11))/((-4)/20). 88 Let c = -12556 - -175881/14. Calculate the common denominator of c and 2/13*43/(-4). 182 Suppose 2*w - k = 5*w + 16, 2*k - 4 = 3*w. Let n(x) = -x**3 - 3*x**2 + x + 2. Calculate the least common multiple of n(w) and 4. 28 What is the common denominator of (52/12)/(22/(-18)) and 6? 11 Let d = -525/38 - 13/19. Calculate the common denominator of (1 - 29/(-2)) + 1 and d. 2 Let h be (-1686)/6680 + (-12)/(-48). Let d = 30867/11690 - h. Calculate the common denominator of d and 21/16. 112 Let d(u) = -u**3 - 2*u**2 + 2*u - 2. Let v be d(-4). Let j = 51 + -13. Let x = j - v. What is the smallest common multiple of x and 12? 48 What is the common denominator of -41/4 and (-13 + 0)*((-340)/48 + 7)? 12 Let n be 0 - 2 - (-944)/22. Let l = n + -4183/88. Let i = -1883 + 11255/6. Calculate the common denominator of i and l. 24 Let h = 11 - 8. Suppose z + h*g = -3, -3*z = -0*g - 2*g + 9. Calculate the smallest common multiple of (4*-1)/(1 + z) and 5. 10 Suppose 0 = 5*r - 10 - 0. Calculate the lowest common multiple of r and 12. 12 Let i = 20 - 14. Calculate the least common multiple of 7 and i. 42 Suppose -5*s = -3*p - 46, 5*p - p - 1 = s. Suppose 3*w = 4 + s. What is the lowest common multiple of 9 and w? 45 Let p = -1144834/44363 + 610/1199. Let l = p - -13393/370. What is the common denominator of l and 1 + (312/(-10))/(-4)? 10 Let s = 332964812689354859/267210 - 1246079161289. Let x = s + 2/14845. Find the common denominator of x and 109/10. 90 Calculate the common denominator of 59/16 and ((-20)/760)/((-2)/(-98)). 304 Let m(r) be the third derivative of -r**5/60 - r**4/2 - 3*r**3/2 - r**2. What is the least common multiple of m(-10) and 1? 11 Suppose -4*z - z + 5 = 0. What is the least common multiple of z and 7? 7 Let a be ((-59)/8)/((-54)/57624). Let v = -7872 + a. Calculate the common denominator of -67/6 and v. 18 Let y = -427/473 - 12/43. Calculate the common denominator of -35/149 and y. 1639 Let u = 744 + -376. What is the smallest common multiple of 18 and u? 3312 Calculate the common denominator of -3/2 and (-316)/(-56) - (-2)/(-4). 14 What is the common denominator of (-27)/(-360)*-4*(-122)/(-6) and 0/3 - (-34)/(-52)? 130 Let a(f) = 2*f**2 - 2*f + 1. Let y be a(6). Suppose -j - 2*b - y = -17, -j = -b + 29. Find the common denominator of 101/4 and 3/(-12)*j/(-5). 20 Let v = 19 + -19. Suppose 1 = 5*a - 2*p, v*a = -2*a - 4*p + 10. What is the least common multiple of a and 5? 5 Suppose 4*p - 16 = 8. What is the lowest common multiple of p and 49? 294 What is the common denominator of (2/30)/(26/(-3783)) and 28/3? 30 Let h(p) = p**2 - 5*p - 1. Let y be h(6). Suppose 47 + 3 = y*n. Calculate the smallest common multiple of (6/9 - 1)/(3/(-90)) and n. 10 Suppose -14 = -2*o - 2*g, -4*o + 56 = -2*g - g. Let v = 80 + -74. Calculate the least common multiple of v and o. 66 Suppose -2*k - 4*x - 42 = 0, 20 = -2*x - 2*x. Let c = k - -31. Let m(d) = -d**3 - 7*d**2 + 7*d + 10. Calculate the lowest common multiple of m(-8) and c. 180 Suppose 0 = 3*y - f - 1 + 2, 5*y + 2*f = -20. Let j = 6 + y. Calculate the smallest common multiple of (-2)/3*(1 - j) and 9. 18 Let k(q) = 3*q**3 + 2*q**2 + 2*q + 1. Let r be k(-1). Let s(x) = x**3 - x**2 - 5*x - 3. Find the common denominator of r + 4 + (-106)/22 and s(4). 11 Find the common denominator of 27/4 and (-32)/(-16) + 56/18. 36 Suppose -4*z = 4 - 20. Suppose -2*r + z*r - 2*n = 70, 0 = 5*n. Suppose 63 = 5*y + 4*j, -r = -3*y - 5*j + 8. What is the least common multiple of y and 4? 44 Let m(p) = -3*p**2 + 4*p - 6. Let f(u) = 7*u**2 - 8*u + 11. Let v(x) = 4*f(x) + 9*m(x). What is the least common multiple of v(-7) and 10? 110 Let k(f) = -f**2 + 7*f - 5. Let o be k(5). Let d(l) = l**3 - 5*l**2 + 5. What is the lowest common multiple of d(o) and 11? 55 What is the common denominator of (-214)/(-40) - (-3 - -5) and 77/18? 180 What is the common denominator of 7/20 and (-1 + 207/12)/(-3)? 60 Calculate the common denominator of -44/21 and (-146)/36 - 7/(-21). 126 What is the common denominator of -39/5 and (-1 + 2)/((-7)/(-57))? 35 Let z = -32369/18 + 1805. Let x be 47529/(-6)*(-2)/(-12). Let l = -1300 - x. Calculate the common denominator of z and l. 36 Let b = -2701/5 - -543. Find the common denominator of b and -49/4. 20 Let x = -1006 + 11057/11. What is the common denominator of 69/2 and x? 22 Calculate the smallest common multiple of (-1 - 1)/((-1)/10) and 16. 80 Let t = 909/7 + -4733/42. Find the common denominator of t and 91/6. 6 Suppose -s + 7 = 5*h, -5*h + 0*s + 5*s = 5. Find the common denominator of (-1 + 2 + -37)/h and 49/8. 8 Find the common denominator of (3 + 49/(-12))/(1/(-22)) and -39/4. 12 Calculate the common denominator of 38/57*(1/(-4) + -1) and 29/13. 78 Calculate the common denominator of 52/(-13) - (-95)/12 and -55/18. 36 Calculate the smallest common multiple of (14/4 + -2)*2 and 139. 417 Let m = 73851/22 + -3352. Find the common denominator of m and 2/(-6) - 206/(-132). 22 Suppose 4*s = -s - 4*o + 10, -5*s + 2*o = -10. What is the smallest common multiple of 11 and -1*(1 + (-6)/s)? 22 Let y be (-4)/10 + 78366/9040. Let t = -1594/113 - -14. Let h = t - y. Find the common denominator of 30/11 and h. 88 Let p = 122/3087 + -11938039/15435. Let g = 779 + p. Let t = -135 - -1229/9. Calculate the common denominator of t and g. 45 Find the common denominator of 37/12 and ((-2)/3 - 0)*(-15)/4. 12 Let r(o) = o**3 - 18*o**2 + 17*o + 9. Calculate the smallest common multiple of r(17) and 1. 9 Suppose 8*z = 3*z + 5*i + 90, 4*z - i - 84 = 0. Let g = 4 - -14. Suppose -d + t + 2 = 0, -4*d - 3*t = -d - g. Calculate the smallest common multiple of d and z. 44 Suppose 37 = 3*t - 2*t. Let i = t - 23. Let c = i + -8. Calculate the lowest common multiple of c and 6. 6 Suppose v + 0*a = -2*a - 1, -7 = -3*v - a. Let q be (0 + 2 + 0)*v. Let c = 2 + q. Calculate the smallest common multiple of 3 and c. 24 Let l = 21 - 18. Calculate the smallest common multiple of 21 and l. 21 Suppose 0 = -2*v + 2*s + 36, 3*s = 7*s + 20. Suppose 3*f = v + 8. Let q = -3 + f. Calculate the least common multiple of 14 and q. 28 Suppose 4*n + 2*a = 15 + 13, -2*a + 34 = 5*n. Calculate the least common multiple of 9 and n. 18 Let y = 143 + -362. Calculate the common denominator of 249/(-24)*-1*-2 and ((-2)/8)/(15/y). 20 Suppose -2*r - 5 = -4*a + 3*a, 0 = 2*a - 2*r - 6. Suppose a = c - 7. What is the lowest common multiple of c and 22? 88 Let j be (-2396)/90 - 2/(-5). Let l = j + 2243/90. Find the common denominator of l and 0/5 + 106/16 - 0. 40 Let p = 3 + -1. Let q be (p/(-4))/(2/(-16)). Suppose l + 3*r = -0*l + 7, 0 = -q*l - 2*r + 78. What is the least common multiple of l and 14? 154 Let o(b) = 0*b - b**2 - b - 3*b + 2. Let m be o(-4). Suppose -4*w - m*y + 2 = 0, 2*w - y - 1 = 3*w. Calculate the lowest common multiple of 8 and w. 8 Let v = 285/14 - 367/28. Calculate the common denominator of 11/6 and v. 12 Let s be (-2)/(-3) - (-5662)/3. Let u = -116159989/61558 - 311/4397. Let j = s + u. What is the common denominator of j and 109/10? 70 Suppose -c + 120 = 4*c. What is the common denominator of -55/9 and c? 9 Suppose 10*g - 12*g + 8 = 0. What is the smallest common multiple of g and 9? 36 Let w(t) = 5 - 14*t - 2 + 12*t + 3*t**2 + t**3. What is the lowest common m
{ "pile_set_name": "DM Mathematics" }
t is the third derivative of 646*d**2*k**4 + 991*d**2 + 138*d*k - 118*k**4 + k**2 - 1 wrt k? 15504*d**2*k - 2832*k Find the second derivative of 4*f**4*g + 1550*f**2*g**2 + 2*f*g**2 - 3*f*g + 429 wrt f. 48*f**2*g + 3100*g**2 Find the first derivative of -1944299*m**3 + 51506. -5832897*m**2 What is the derivative of 81701*t**3 - 130657 wrt t? 245103*t**2 What is the third derivative of -2625*l**5 + 4*l**4 - l**2 + 68150*l wrt l? -157500*l**2 + 96*l What is the derivative of -2*v**3 + 11847*v**2 + 20*v + 623590? -6*v**2 + 23694*v + 20 Find the third derivative of 83802*g**3 + 1180*g**2 + g + 24 wrt g. 502812 Differentiate -l*q**2 - 1436568*l + 44478*q**2 with respect to q. -2*l*q + 88956*q Find the second derivative of -12735*h**3*q + 2*h*q + 4*h + 62*q + 5 wrt h. -76410*h*q Differentiate 2463*v**4 + 118*v + 679254. 9852*v**3 + 118 Find the first derivative of 21*j**3 + 501*j**2 - 658283. 63*j**2 + 1002*j Find the third derivative of 12*p*q**6 - 2851*p*q**3 - 2*p*q**2 + 2*p*q - 5*p - 3*q + 319 wrt q. 1440*p*q**3 - 17106*p Find the second derivative of -2*i*u*w**3 + 11*i*u*w**2 - i*u - 18248*i*w + 2*u*w - 32*w**5 wrt w. -12*i*u*w + 22*i*u - 640*w**3 What is the first derivative of -2*f**2*g*x - 6*f**2*x - 2*f**2 - 54733*f*g*x - 1154*x wrt g? -2*f**2*x - 54733*f*x Find the first derivative of 100*q**2*z**4 + 33136*q**2 + 152*q*z wrt z. 400*q**2*z**3 + 152*q Find the second derivative of -1134300*f**2 - 3*f + 369768 wrt f. -2268600 What is the first derivative of 222*g**3 + 3509*g - 627461 wrt g? 666*g**2 + 3509 What is the third derivative of -5679*f**3*l**3 - f**3*l**2 - 9*f**2*l**2 - 30*f**2*l + 6*f*l**4 - 3*l**2 wrt l? -34074*f**3 + 144*f*l Differentiate 397*b**2*c - 70384*b**2 - 337*b*c - 4*c - 2 wrt c. 397*b**2 - 337*b - 4 Find the third derivative of 63274*h**4 - 15*h**2 - 88*h. 1518576*h What is the derivative of -23*r*z**2 + 2*r*z - 66154*r + 19*z**2 - 2*z wrt z? -46*r*z + 2*r + 38*z - 2 What is the second derivative of 4380008*a**3 - 2308144*a? 26280048*a Find the second derivative of 53144*n**2 - 192*n - 25 wrt n. 106288 Find the second derivative of -13*w**4 - 3287*w**2 - 2*w - 69036 wrt w. -156*w**2 - 6574 What is the derivative of 24777*t + 26354? 24777 Find the first derivative of -2914347*f**4 - 1534898. -11657388*f**3 Find the third derivative of -11294*l**3 - 215*l**2 + 8*l wrt l. -67764 What is the second derivative of 451495*c**4 + 6702*c - 2? 5417940*c**2 What is the derivative of 31863*k**2 - 97333 wrt k? 63726*k What is the second derivative of 23*q**4 + 2*q**3 - 11474*q**2 + 3763493*q wrt q? 276*q**2 + 12*q - 22948 Find the first derivative of -130512*c**2*r**3 - 3839*r**3 - 10 wrt c. -261024*c*r**3 What is the third derivative of 4*k**2*l*n**3*s**2 + 97666*k**2*l*s**3 + 2*k**2*n**3*s**3 + 6*k**2*n**3*s**2 - k*l*n**2*s**2 + 249*k*n*s**2 + l*n**3 wrt s? 585996*k**2*l + 12*k**2*n**3 Differentiate -53*p*q**2*r - 51*p*q**2 - p*q*r + 3140*p*r - 713*q**2 with respect to r. -53*p*q**2 - p*q + 3140*p Find the second derivative of -2*a**2*g**3*x - 12*a**2*g**3 + 459*a**2*g*x - 2*a*g**3*x + a*g**3 + 10*a*g*x + 115*g**3*x wrt a. -4*g**3*x - 24*g**3 + 918*g*x Find the second derivative of -85*c**3*x**2 + 370*c**3*x + 3*c**3 + c**2*x - 120*c*x**2 + c - x**2 wrt x. -170*c**3 - 240*c - 2 What is the first derivative of -46970*f**2 + 18112? -93940*f Differentiate -20908*j + 44840 with respect to j. -20908 What is the third derivative of 50148*a**2*u**6 - 3*a**2 - 15*u**6 - 18865*u**2 wrt u? 6017760*a**2*u**3 - 1800*u**3 Find the third derivative of 399619*i**4 - 211720*i**2. 9590856*i What is the derivative of -244233*y**2 - 410793 wrt y? -488466*y Differentiate 209*j**2 - 74*j + 801235 with respect to j. 418*j - 74 What is the derivative of 583006*g + 694720? 583006 What is the second derivative of 109*m*y**5 + 24*m*y**2 - 1202*m*y - 27*y**5 + 39*y wrt y? 2180*m*y**3 + 48*m - 540*y**3 Find the third derivative of -27417*b**4*u - 5*b**4 - 4*b**2*u + 4551*b**2 + 2*b*u wrt b. -658008*b*u - 120*b What is the third derivative of -2*c**3*v**3 + 42*c**3*v**2 - c**3*v - 4*c**2 - 11261*c*v**5 + 6*v**2 wrt v? -12*c**3 - 675660*c*v**2 Find the third derivative of -9*k**2*x**6 + 773*k**2*x**4 - 9*k**2*x + 124*k**2 + k*x**2 wrt x. -1080*k**2*x**3 + 18552*k**2*x Find the first derivative of 2*h*n**3*u - 27*h*u - 440*h - 138*n**3 + n**2*u - 34*n*u wrt h. 2*n**3*u - 27*u - 440 What is the third derivative of -2*r**3*s**4 - r**3*s**2 - 4*r**3*s + 28*r**3 + 44*r**2 + 5776*s**4 wrt s? -48*r**3*s + 138624*s What is the second derivative of -1529*l**2*n**3 + 3*l**2*n*u + 4*l**2*n + 3*l**2 + 6*l*n**2 + 7*n**3*u + n**3 + n**2*u - 102*n*u wrt l? -3058*n**3 + 6*n*u + 8*n + 6 Find the first derivative of -145604*b*q**3*t + 3*b*q*t - 21*b*q - 362*q**3 + q*t - 2 wrt t. -145604*b*q**3 + 3*b*q + q What is the derivative of -5*i**2 - 71510*i + 2787806? -10*i - 71510 What is the third derivative of -13838*c**4*f**2 + 10*c**3*f - c**2*f**2 - 51*c**2*f + 2*c**2 - 1562*c*f - 2*f**2 wrt c? -332112*c*f**2 + 60*f What is the third derivative of -21*z**5 - 269*z**3 - 10*z**2 - 6950 wrt z? -1260*z**2 - 1614 What is the second derivative of 2*r**5 - 2*r**3 - 529*r**2 - 24*r + 21? 40*r**3 - 12*r - 1058 Find the second derivative of -865*n**2 - 628204*n wrt n. -1730 Differentiate 156082*j**3*v**3 + 2*j**2*v**3 + 2*v**3 - v - 131374 with respect to j. 468246*j**2*v**3 + 4*j*v**3 What is the third derivative of -457*v**5 - v**4 - 89*v**3 - 27938*v**2 + 1 wrt v? -27420*v**2 - 24*v - 534 Find the second derivative of 10*c**4*z + 10228*c**4 - 4837*c*z - 37 wrt c. 120*c**2*z + 122736*c**2 What is the first derivative of -r**2*y - 1016592*r**2 - 845844*y wrt r? -2*r*y - 2033184*r Differentiate 2*a**2*l**2 - 4*a**2*l*v + 27353*a**2*v + 4*a*l - l**2*v + 77*l**2 + 8 wrt v. -4*a**2*l + 27353*a**2 - l**2 What is the second derivative of -78*r**3 - 1503*r**2 - 2*r + 60113 wrt r? -468*r - 3006 Find the second derivative of 58091*k**3*l**2 + k**3 - 31*k**2*l - 12*k**2 + 2*k*l wrt l. 116182*k**3 Find the third derivative of 119298*g**3*s**3 - 20*g**2*s**3 - 28*g*s**2 - s**2 wrt g. 715788*s**3 Differentiate 301*f**3*t*v + 44*f**3*t + 2*f**3 - 2*f**2*v - f*t*v - 38362*f*v - 2*v with respect to t. 301*f**3*v + 44*f**3 - f*v Find the third derivative of -a**4*u - 8*a**4 + 2*a**3*u + 172*a**3 + 1866230*a**2*u + a**2 wrt a. -24*a*u - 192*a + 12*u + 1032 What is the second derivative of 19*s**4 + 198*s**2 + 34185*s wrt s? 228*s**2 + 396 Find the second derivative of -1504700*v**3*w**4 - 2*v**3 + 3*v*w + 83883*v wrt w. -18056400*v**3*w**2 What is the first derivative of -8*b**2 + 995*b + 90874 wrt b? -16*b + 995 What is the derivative of -3*a**4 + 188*a**3 - 47*a**2 + 191549 wrt a? -12*a**3 + 564*a**2 - 94*a What is the third derivative of -268*d*f**3*p + 3*d*f**2*p - 2*d*f*p + d*f + 1243*f**3*p + 131*f**2 - 3*f*p - 4*f wrt f? -1608*d*p + 7458*p Differentiate 43*c**2*l**2*n + 130*c**2*l*n - c**2*l + 326*c*l - 3*l**2 + 3 with respect to n. 43*c**2*l**2 + 130*c**2*l What is the first derivative of 16*h*n**2 + 105*h*n + 2*h - 323129 wrt n? 32*h*n + 105*h What is the second derivative of 452*b**3*j**4 - 12*b**3*j**3 + 5*b**3*j + 73*b**3 + b**2*j + 2*b*j wrt j? 5424*b**3*j**2 - 72*b**3*j What is the third derivative of -l**3*w**2 - 38377*l**3 + 5*l**2*w**2 - 83 wrt l? -6*w**2 - 230262 What is the third derivative of 27*c*j**3*x - 113*c*j**3 - 8868*c*j**2 + 38*c*j*x + 11*j**4 wrt j? 162*c*x - 678*c + 264*j Find the second derivative of 25*l**4 + 397*l**3 + 88688*l. 300*l**2 + 2382*l Find the second derivative of 4205*k**2 + 24129*k. 8410 Find the third derivative of 28*l**4 + 1474*l**3 - 121*l**2 + 63*l. 672*l + 8844 Differentiate 3*g**2*t - 657097*g**2 + 59273*t wrt t. 3*g**2 + 59273 What is the second derivative of -8*u**3*v**3 + 246*u**3 + 3*u**2 + 81*u*v**3 + v + 2 wrt v? -48*u**3*v + 486*u*v Find the second derivative of -5*c**5 - 4036*c**4 - 51859*c wrt c. -100*c**3 - 48432*c**2 Differentiate 85719*k + 500634 with respect to k. 85719 What is the second derivative of -699295*f**2*q**2 - 16156*f**2*q - f**2 + 5*f + 2*q - 1 wrt q? -1398590*f**2 Find the second derivative of -180917*h**4*u + 1221*h*u + 2*h + 11*u - 1 wrt h. -2171004*h**2*u Find the first derivative of -6*l**2*x**2 - 235682*l**2 + 113*l*x
{ "pile_set_name": "DM Mathematics" }
inder when y(w) is divided by 12. 9 Let m(i) = -i**2 + 15*i - 12. Calculate the remainder when 47 is divided by m(12). 23 Let k = -4 - -11. Calculate the remainder when 25 is divided by k. 4 Let k = -7 + 14. Let i be (-10)/(-3)*(-72)/(-30). Let j = i + -5. Calculate the remainder when k is divided by j. 1 Suppose 4*u + 361 = 9. Let r = -1 - u. Calculate the remainder when r is divided by 22. 21 Let w be 18 + (-2 - (1 - 1)). Suppose 4*x + 2*x = 60. Calculate the remainder when (3 - 2) + (w - -1) is divided by x. 8 Suppose j = p - 0*j - 19, -j = p - 15. Let a be (-1)/(-2) - (-11)/(-2). What is the remainder when p is divided by (-28)/a + (-4)/(-10)? 5 Let r(b) = -2*b - 2. Let g be r(-3). Suppose 4*y + 5*j - 2 = 0, -y = -3*y + 2*j + 10. Suppose -g = -p - y. What is the remainder when p is divided by 1? 0 Suppose -3*f + 24 = -0*f. Let p = 24 + -9. Calculate the remainder when p is divided by f. 7 Suppose 0*d + 4*d = 28. Calculate the remainder when 20 is divided by d. 6 Let p(q) = q**3 - 7*q**2 - 10*q - 5. Let u be p(8). Let d = u - -55. What is the remainder when d/9 + 8/36 is divided by 3? 1 Suppose -4*g = -51 - 9. Calculate the remainder when 26 is divided by g. 11 Let f = -2 - -9. Let o(h) = -f + 2 + 0*h + h. Calculate the remainder when o(12) is divided by 3. 1 Suppose 2*r - 6*c = -c + 78, -2*r + c = -62. Suppose -4*k = 5*z - 36, 5*k = -5*z + 21 + r. Let n = k - 2. What is the remainder when 35 is divided by n? 11 Suppose -2*x - 14 = -2*k, 0 = -2*k - 2*x + 20 + 14. Let p(h) = h**2 - 11*h - 1. Calculate the remainder when p(k) is divided by 1 + (0 - -7 - 2). 5 Let w(b) = -b**3 - 6*b**2 - 2*b + 2. Suppose j - 1 = 0, 5*m + 7 = j - 4*j. Let s = 7 + m. What is the remainder when w(-6) is divided by s? 4 Let r = 38 + -54. Let k = -133 + 152. Calculate the remainder when (-54)/(-4)*r/(-6) is divided by k. 17 Let t(d) = 4*d**3 - 3*d**2 + 4*d - 2. Let f be t(2). Let w(x) = x**2 + 6*x + 2. What is the remainder when 4/(-20) + f/5 is divided by w(-6)? 1 Let p(d) = -d**3 - 7*d**2 + 3*d - 14. Suppose 2*r - 290 + 88 = 0. What is the remainder when r is divided by p(-8)? 23 Let d(q) = -7*q**3 - 2*q**2 - 2*q - 1. Let k be d(-1). Suppose 2*l + k = 42. What is the remainder when 53 is divided by l? 17 What is the remainder when 57 is divided by (1 - (-36)/(-20))/((-1)/20)? 9 Let x(z) = z**2 - 2*z + 1. Let p be x(2). Let i be (1 - -2) + p/(-1). Let n = i - 1. What is the remainder when 1 is divided by n? 0 Suppose -2*m = -36 - 14. Let c(q) = -q**3 - 13*q**2 - 2*q - 13. Calculate the remainder when m is divided by c(-13). 12 Let f(w) = w**3 + 28*w**2 + 25*w - 7. Calculate the remainder when 140 is divided by f(-27). 46 Let l = 300 + -271. Suppose -18 = h - 0*h. Let b = h - -28. Calculate the remainder when l is divided by b. 9 Let w = 34 + -2. Suppose -3*h + 0*h = 3*k - 66, h + 2*k = 27. What is the remainder when w is divided by h? 15 Let t(b) = 20*b**2 + 2*b + 2. Calculate the remainder when 36 is divided by t(-1). 16 Suppose 9 = 2*v - 37. What is the remainder when 1*(2 - 1)*68 is divided by v? 22 Suppose 4*g + 3*u = 74, 2*u - 50 = -2*g + 7*u. What is the remainder when g is divided by 4? 0 Suppose 2*l - 6*l + 24 = 0. Calculate the remainder when 16 is divided by l. 4 Calculate the remainder when 3/(0 + 6/44) is divided by 6. 4 Let f(m) = -m**3 + 3*m**2 + m + 2. Suppose 3*x - 4 = 2. Calculate the remainder when f(x) is divided by 5. 3 Let c(k) = -k**3 - 8*k**2 + 7*k + 3. Let b be (-3)/(-1 - (-12)/9). Calculate the remainder when 82 is divided by c(b). 19 Let z(l) = 18*l - 1. Let k(w) = w. Let g(o) = 3*k(o) + z(o). What is the remainder when g(2) is divided by 21? 20 Let w(l) = 2*l + 4. Calculate the remainder when 5 is divided by w(0). 1 Suppose 4*l + 84 = h, -4*h = -2*l - 237 - 71. Calculate the remainder when h is divided by 13. 11 Let r(w) = w**2 + 14*w + 21. Calculate the remainder when 35 is divided by r(-14). 14 Suppose -6*r + r = -5*p - 295, 237 = 4*r - 3*p. Let l = r - 35. Calculate the remainder when l is divided by 9. 7 Let y be -1 + (-4)/(-2) + 9. Suppose -y = -5*h + 35. What is the remainder when 17 is divided by h? 8 Let d(t) = t**3 + 5*t**2 + 3*t - 1. Let o = -3 + -1. Let p = 11 + -4. What is the remainder when p is divided by d(o)? 1 Let s be (-27)/(-6) - 1/(-2). Suppose 29 = s*l - 36. Calculate the remainder when 37 is divided by l. 11 Let w = -4 - -24. What is the remainder when w*(30/(-4))/(-5) is divided by 16? 14 Suppose 0 = -4*x + 2 + 62. Suppose v + x = 2*v. What is the remainder when 45 is divided by v? 13 Suppose 2*n = -0*n + 5*k + 20, n - k - 13 = 0. Suppose 2*m = -5*u - 2, -5*m + u - 2*u = -18. Calculate the remainder when n is divided by m. 3 Let g(v) = 3*v**2 - 1. Let q be g(2). Suppose -l - 2 = -q. Calculate the remainder when 16 is divided by l. 7 Let h = -34 - -58. Let o = h + -13. Let x(n) = 22*n - 1. What is the remainder when x(1) is divided by o? 10 Let t = 12 - 39. Let g = t + 43. Calculate the remainder when 46 is divided by g. 14 Let l(z) = 11*z + 2. Let q be l(1). Suppose 8*o - q*o = -95. What is the remainder when 37 is divided by o? 18 Suppose 2*z - 2*t = 5 - 9, z + 4*t = 23. Calculate the remainder when -2*5*2/(-4) is divided by z. 2 Suppose -5*o + 10 = 0, 2*g + o = -0*o - 6. What is the remainder when 40 + -2*(-6)/g is divided by 19? 18 Suppose 11*d - 16*d + 70 = 0. What is the remainder when d is divided by 4? 2 Let c = 3 - 3. Suppose 0 = 4*x - c*x - 12. Let b = x - -5. Calculate the remainder when 15 is divided by b. 7 Suppose -d = 3*m - 28, 4*m + 3*d = 7*d + 64. What is the remainder when m is divided by 7? 4 Suppose -4*h - h - 5*g = -325, -5*h = 2*g - 331. Calculate the remainder when h is divided by 14. 11 Suppose d = 6*d - 30. Suppose -2*f + 5*v = -49, -2*f + 3*v - 137 = -d*f. What is the remainder when f is divided by 11? 10 Let g(c) = 4*c**2 - 3*c + 6. Let f be g(4). Let y = f + -30. What is the remainder when y is divided by (-10)/((2 - 6) + 3)? 8 Let p(d) = 2*d**2 - 5*d - 3. Let w = 29 - 25. What is the remainder when 33 is divided by p(w)? 6 Let b(n) = -2*n - 9. What is the remainder when 76 is divided by b(-11)? 11 Suppose 4*n = 4*h - 0*h + 132, 4*h - 42 = -2*n. What is the remainder when n is divided by ((-4)/(-3))/2*15? 9 Let s(o) = o**2 - 2*o - 9. Suppose -3*i + 2*b = -53, -3*i + 4*b + 43 = -0*b. What is the remainder when s(-4) is divided by (i/28)/((-2)/(-24))? 6 Let w = -1 + 2. Let o = 9 - 6. Calculate the remainder when w/o*0 + 13 is divided by 7. 6 Let k = 1 + -1. What is the remainder when 38 is divided by 0 - -12 - (k - 1)? 12 Let s = 73 - 56. What is the remainder when s is divided by 4? 1 Let q(g) = -g**3 - 7*g**2 - 4*g + 5. Let f be q(-6). Let l = f - -11. Calculate the remainder when (-4)/(-2*2/10) is divided by l. 2 Let k = -14 + 22. What is the remainder when 4/k + (-39)/(-2) is divided by 7? 6 Let t be (-20)/6*(1 - -2). What is the remainder when 9 is divided by (t/(-2 - 0))/1? 4 Let l(n) = -8*n + 54. Calculate the remainder when 106 is divided by l(5). 8 Suppose -2*w + 4*v + 4 = 0, 2*w + 0*w + v - 9 = 0. Suppose w*y = 134 - 34. Let x = y + -10. Calculate the remainder when x is divided by 6. 3 Suppose -5*g - 40 = -0*g. Let f = 17 + g. Calculate the remainder when 16 is divided by f. 7 Let f = -7 + 32. Suppose -4*j + f = j. What is the remainder when 9 is divided by j? 4 Suppose 6*c + 96 = 3*b + 2*c, -b + 32 = 3*c. Calculate the remainder when b is divided by 11. 10 Suppose 9*n - f = 4*n + 65, -3*n + 39 = -f. Calculate the remainder when 51 is divided by n. 12 Suppose -2*a = -6 - 52. What is the remainder when 55 is divided by a? 26 Suppose -4*t = 5*y - 47, 0*t + 5*y + 97 = 4*t. Let a = t - 13. What is the remainder when a is divided by 4? 1 Suppose -43 = 2*f + 3*j - 149, 4*j = 8. What is the remainder when 149 is divided by f? 49 Let x = -21 - -44. Let z = -19 + x. Let m(j) = 15*j**2 + j - 1. What is the remainder when m(1) is divided by z? 3 Suppose 14 - 1 = 4*x + 5*q, -q + 7 = 3*x. Let h(n) = n**2 - n - 5*n + 0*n + 2*n. What is the remainder when h(5) is divided by x? 1 Suppose -3*z + 3*m = -139 - 452, 5*m - 5 = 0. Suppose 3*c = c + z. Calculate the remainder when c is divided by 25. 24 Let n = 34 + -22. Suppose -4*g + 68 + 116 = 0. Calculate the remainder when g is divided by n.
{ "pile_set_name": "DM Mathematics" }
1552. 2*(r + 4)*(r + 194) Factor -2*t**4/3 - 5612*t**3/3 - 1316006*t**2 - 5234136*t. -2*t*(t + 4)*(t + 1401)**2/3 Factor -2*g**3/5 - 60463*g**2/5. -g**2*(2*g + 60463)/5 Determine x, given that 3*x**2/7 + 3201*x/7 + 6390/7 = 0. -1065, -2 Factor -129*n**2/4 + 104747*n/4 + 203. -(n - 812)*(129*n + 1)/4 Let -5*x**2 - 5355*x + 345260 = 0. What is x? -1132, 61 Find f such that -f**3 - 219*f**2 + 11617*f + 11835 = 0. -263, -1, 45 Factor q**5/7 - 186*q**4/7. q**4*(q - 186)/7 Factor l**3/2 - 4001*l**2 + 71927*l/2 + 39965. (l - 7993)*(l - 10)*(l + 1)/2 Factor j**4/5 + 14*j**3 + 1068*j**2/5 + 386*j + 931/5. (j + 1)**2*(j + 19)*(j + 49)/5 Solve 153*c**4 + 2001*c**3 + 156*c**2 = 0. -13, -4/51, 0 Determine x, given that 2*x**4 - 1792*x**3/3 + 1168*x**2/3 + 7168*x/3 - 4768/3 = 0. -2, 2/3, 2, 298 Determine g so that -4*g**4 + 6012*g**3 - 148152*g**2 + 520592*g - 496608 = 0. 2, 21, 1478 What is j in 3*j**5/2 - 915*j**4/2 + 30765*j**3 + 630435*j**2 + 4977315*j/2 - 6298803/2 = 0? -9, 1, 161 Suppose -2*b**3/3 + 106052*b**2/3 - 468590760*b - 937322928 = 0. What is b? -2, 26514 Suppose -x**2/3 + 519002*x/3 - 67340769001/3 = 0. What is x? 259501 Factor 3*y**4/4 + 11439*y**3/4 + 11427*y**2. 3*y**2*(y + 4)*(y + 3809)/4 What is n in -n**4 + 231*n**3 - 10814*n**2 + 133140*n + 311400 = 0? -2, 30, 173 Factor -2*k**2 - 33070*k + 66148. -2*(k - 2)*(k + 16537) Solve 2*x**4/13 + 1116*x**3/13 + 25582*x**2/13 - 26700*x/13 = 0. -534, -25, 0, 1 Solve 2*x**4 - 88*x**3 - 3786*x**2 + 162800*x + 166496 = 0 for x. -43, -1, 44 Solve 10*a**2 - 29354*a + 11740 = 0. 2/5, 2935 Let -u**5/2 - 21*u**4 - 351*u**3/2 + 729*u**2 = 0. Calculate u. -27, -18, 0, 3 Factor -2*h**2 - 64186*h - 705804. -2*(h + 11)*(h + 32082) Determine t, given that 4*t**2 + 5492*t + 54520 = 0. -1363, -10 Solve l**5/2 + 227*l**4/2 + 1418*l**3 + 5824*l**2 + 9872*l + 5992 = 0 for l. -214, -7, -2 Factor -z**3/5 - 319*z**2/5 - 3872*z + 1022208/5. -(z - 33)*(z + 176)**2/5 Factor o**4/8 - 173203*o**3/8 + 86601*o**2/4. o**2*(o - 173202)*(o - 1)/8 Determine g, given that 5*g**2 + 33785*g + 33780 = 0. -6756, -1 Factor m**3/5 + 162*m**2/5 - 11919*m/5 + 37004. (m - 29)**2*(m + 220)/5 Find h, given that -h**3/2 - 7*h**2/2 + 34496*h + 3569258 = 0. -154, 301 Factor 5*o**2 - 6199660*o + 6199655. 5*(o - 1239931)*(o - 1) Factor 2*z**2/5 + 30472*z/5 - 30474/5. 2*(z - 1)*(z + 15237)/5 Determine h, given that 2*h**3/17 - 294*h**2/17 + 3280*h/17 - 5400/17 = 0. 2, 10, 135 Suppose 3*o**2 + 152748*o + 1944329292 = 0. Calculate o. -25458 Determine b so that 134*b**3 + 36574*b**2/13 + 66028*b/13 - 304/13 = 0. -19, -2, 4/871 Factor -2*i**2 - 1674*i - 11620. -2*(i + 7)*(i + 830) Factor -2*l**4/9 + 449170*l**3/9. -2*l**3*(l - 224585)/9 Let 5*k**4 - 13270*k**3 + 8751280*k**2 + 70982230*k - 79720245 = 0. What is k? -9, 1, 1331 Determine w so that 3*w**2 - 3513*w - 10566 = 0. -3, 1174 Suppose 2*z**4 + 114236*z**3 + 1631347194*z**2 + 3262351688*z + 1631118728 = 0. What is z? -28558, -1 Factor 5*t**2 + 17410*t - 297415. 5*(t - 17)*(t + 3499) Factor -2*m**3/3 - 35866*m**2/3 - 35864*m/3. -2*m*(m + 1)*(m + 17932)/3 Factor -y**2/7 + 221*y/7 + 5346/7. -(y - 243)*(y + 22)/7 Find h such that 2*h**4/23 - 544*h**3/23 + 22300*h**2/23 - 11296*h + 10350 = 0. 1, 23, 225 Determine c, given that 36*c**3 + 47950*c**2 + 45252*c - 2662 = 0. -1331, -1, 1/18 Determine y, given that 4*y**5 + 148*y**4 + 1128*y**3 - 592*y**2 - 4576*y = 0. -26, -11, -2, 0, 2 Determine m so that 138750480233*m**4/4 + 1318089360220*m**3 - 1527660222*m**2 + 590176*m - 76 = 0. -38, 2/5177 Find c, given that c**3/7 + 789*c**2/7 - 3003*c + 137735/7 = 0. -815, 13 What is m in 3*m**3/8 + 74751*m**2/8 + 37371*m + 74739/2 = 0? -24913, -2 What is p in -p**4/7 - 7*p**3 - 843*p**2/7 - 5863*p/7 - 12844/7 = 0? -19, -13, -4 Find r such that 10*r**5 - 548*r**4 - 2312*r**3 - 2352*r**2 = 0. -2, 0, 294/5 Factor -2*a**2 - 1646336*a. -2*a*(a + 823168) Determine h, given that 1987*h**3 + 11920*h**2 + 17871*h - 18 = 0. -3, 2/1987 Let -55*w**3 + 1250910*w**2 + 227440*w = 0. What is w? -2/11, 0, 22744 Let 1083*f**5/2 + 6441*f**4/2 + 14037*f**3/2 + 13755*f**2/2 + 3024*f + 486 = 0. What is f? -2, -1, -9/19 Determine u, given that -u**2/2 + 2147*u - 12873/2 = 0. 3, 4291 Suppose 4*z**4 + 2076*z**3 + 78552*z**2 + 76480*z = 0. What is z? -478, -40, -1, 0 What is f in 93*f**3/8 + 1227*f**2/8 + 675*f/4 + 27 = 0? -12, -1, -6/31 Determine d so that -4*d**2 - 9068472*d - 5139824025924 = 0. -1133559 Factor -2*u**2/21 + 322394*u/21. -2*u*(u - 161197)/21 What is c in -3*c**5/5 - 42*c**4/5 - 102*c**3/5 - 24*c**2/5 + 21*c + 66/5 = 0? -11, -2, -1, 1 Factor d**5/4 - 8245*d**4/4 - 157738*d**3 - 3003881*d**2. d**2*(d - 8321)*(d + 38)**2/4 Factor 3*b**2 + 12609*b + 25206. 3*(b + 2)*(b + 4201) Solve 2*n**2 + 87190*n - 87192 = 0. -43596, 1 What is j in 3*j**4 - 12639*j**3 + 13505769*j**2 - 406622133*j = 0? 0, 31, 2091 Solve d**4/5 - 19817*d**3/5 + 79256*d**2/5 - 79252*d/5 = 0. 0, 2, 19813 Find z, given that 4*z**4/7 + 428*z**3/7 - 330356*z**2/7 - 661980*z/7 - 331200/7 = 0. -345, -1, 240 Suppose j**5/5 - 407*j**4/5 + 7858*j**3/5 - 45846*j**2/5 + 69741*j/5 - 31347/5 = 0. What is j? 1, 9, 387 Let -u**2/2 - 16921*u + 169235/2 = 0. Calculate u. -33847, 5 Suppose 5*b**5 + 13855*b**4 - 55495*b**3 + 13905*b**2 + 83250*b = 0. What is b? -2775, -1, 0, 2, 3 Factor -p**2/5 - 1081284*p/5 - 292293772164/5. -(p + 540642)**2/5 What is h in -14*h**4/11 + 11052*h**3/11 - 26770*h**2/11 + 9444*h/11 = 0? 0, 3/7, 2, 787 Find f such that 6*f**3 - 19220*f**2/3 + 1709512*f + 380208 = 0. -2/9, 534 Factor -3*b**3 + 678*b**2 + 15627*b - 16302. -3*(b - 247)*(b - 1)*(b + 22) Let 2*y**3 + 294674*y**2 + 10854243120*y + 10853948448 = 0. What is y? -73668, -1 Solve v**4/7 + 151*v**3/7 + 5822*v**2/7 + 16424*v/7 + 1536 = 0 for v. -84, -64, -2, -1 Factor 3*q**2/2 - 3306*q + 6606. 3*(q - 2202)*(q - 2)/2 Factor -171*c**3 - 2905*c**2/4 - 853*c - 169. -(c + 2)**2*(684*c + 169)/4 Suppose 3*k**3/4 + 3363*k**2/4 - 336003*k/4 + 8051805/4 = 0. What is k? -1215, 47 Let -g**2/5 + 1730684*g/5 - 748816776964/5 = 0. Calculate g. 865342 Factor 5*a**2 + 16815*a + 811930. 5*(a + 49)*(a + 3314) Factor -33*l**2 + 191418*l - 104400. -3*(l - 5800)*(11*l - 6) What is n in -3*n**4/4 + 675*n**3/4 + 1398*n**2 = 0? -8, 0, 233 Solve -n**4/7 - 10*n**3 + n**2 + 496*n/7 + 60 = 0. -70, -2, -1, 3 Let 2*q**5/5 + 29768*q**4/5 + 110766704*q**3/5 - 357248*q**2/5 - 1329677024*q/5 - 1772267648/5 = 0. Calculate q. -7442, -2, 4 Factor -4*o**4 + 209576*o**3 - 3660524208*o**2 + 21320109669528*o - 106509061436940. -4*(o - 17463)**3*(o - 5) Factor -5*m**2/2 - 57015*m - 114025/2. -5*(m + 1)*(m + 22805)/2 Determine s so that -148*s**2 - 952*s + 5280 = 0. -10, 132/37 Factor 5*d**2 + 7059*d - 8478. (d + 1413)*(5*d - 6) Solve -2*d**4/7 + 4636*d**3/7 - 2672610*d**2/7 - 2311384*d - 1928920 = 0 for d. -5, -1, 1162 Suppose -4*d**4 + 5340*d**3 - 1790217*d**2 + 5334660*d - 3992004 = 0. Calculate d. 3/2, 666 Find j, given that -2*j**5 + 118*j**4 + 1934*j**3 - 4438*j**2 - 1932*j + 4320 = 0. -15, -1, 1, 2, 72 Factor a**3 + 115*a**2 + 2463*a + 2349. (a + 1)*(a + 27)*(a + 87) Determine o so that 17*o**5 + 307*o**4 - 305*o**3 - 19*o**2 = 0. -19, -1/17, 0, 1 Factor x**3/2 + 821*x**2/2 - 4957*x/2 + 4135/2. (x - 5)*(x - 1)*(x + 827)/2 Factor 7*k**3/8 + 8945*k**2/4 + 12773*k/8 - 2555/4. (k + 1)*(k + 2555)*(7*k - 2)/8 Suppose 2*l**3 - 26*l + 24 = 0. Calculate l. -4, 1, 3 Solve 4*y**5/5 + 194*y**4/5 + 3274*y**3/5 + 21766*y**2/5 + 7930*y - 25688/5 = 0 for y. -19, -13, -4, 1/2 What is a in 3*a**3/4 + 3441*a**2/4 + 27357*a/4 + 23919/4 = 0? -1139, -7, -1 Factor -367*q**2/10 - 724*q/5 + 8. -(q + 4)*(367*q - 20)/10 Find v, given that 3*v**4 + 2259*v**3 + 6750*v**2 = 0. -750, -3, 0 Factor -8*q**3 - 4044*q**2 - 1996*q + 12120. -4*(q + 2)*(q + 505)*(2*q - 3) Factor -39601*s**3/7 + 84973*s**2 - 11944*s/7 + 60/7. -(s - 15)*(199*s - 2)**2/7 Factor -2*j**2/7 + 1062724*j/7 - 141172787522/7. -2*(j - 265681)**2/7 Factor 63802*w**2 + 127600*w - 8. 2*(w + 2)*(31901*w - 2) Let 35*l**5/2 + 2517*l**4/2 - 2773*l**3/2 + 75*l**2/2 + 73*l = 0. Calculate l. -73, -1/5, 0, 2/7, 1 Factor 4*f**3 + 68*f**2 + 284*f + 220. 4*(f + 1)*(f + 5)*(f + 11) Suppose -y**5 + 100*y**4 + 1930*y**3 + 6920*y**2 - 1929*y - 7020 = 0. Calculate y. -12, -5, -1, 1, 117 Factor 2*y**3/5 + 6*
{ "pile_set_name": "DM Mathematics" }
n + (1 - (5 + -823)). What is the derivative of v*f**3 - 25*f**4 - 40 - 814*f**3 wrt f? -100*f**3 Differentiate -2061*d**3 + 2895 - 16566*d**2 + 16567*d**2 - 1798*d**3 with respect to d. -11577*d**2 + 2*d Find the second derivative of 3098*b - 148680 - 3*b**3 - 52*b**5 + 148680 - 633*b**5 wrt b. -13700*b**3 - 18*b Differentiate 592 + 618 - 112920*z + 115443*z with respect to z. 2523 Let z(n) = 5*n**3 + 18*n. Let h(v) = v**3 + v. Let f = -50 + 32. Let m be 84/(-108) + 4/f. Let w(i) = m*h(i) + z(i). Find the second derivative of w(l) wrt l. 24*l What is the third derivative of -1380*d**3 + 411*d**2 + 1733*d**3 + 2456*d**2 + 1806*d**3 wrt d? 12954 Let a(q) = 13*q + 12*q**2 - 17 - 19*q**2 + 6*q**2. Let i be a(8). Find the second derivative of -i*s - 7*s**4 - 5*s**4 + s**4 - 2*s**4 wrt s. -156*s**2 Let v be (-10)/2*(1 + 0 + -2). Suppose 1 = -m + v*x - 3, -2*x + 10 = m. Find the third derivative of 6*d**3 + 20*d**2 + 12*d**5 - m*d**3 wrt d. 720*d**2 Let j(q) = q**4 - q**3 - q + 1. Let d = 76 + -73. Let y(n) = 6 + 4*n**d - 9 + 4*n + 17*n**4 + 6. Let x(r) = 4*j(r) + y(r). What is the derivative of x(l) wrt l? 84*l**3 Let w(c) = -4*c + 39. Let f be w(9). Find the second derivative of -f*d + 880 + 17*d - 17*d**5 - 39*d**5 - 878 wrt d. -1120*d**3 Let h(y) be the second derivative of -y**6/6 + y**5/20 - 9*y**4/2 - 79*y**3/6 - 13*y**2/2 + y + 1820. What is the second derivative of h(d) wrt d? -60*d**2 + 6*d - 108 Suppose -33*h = -30*h + 15. Let r be 4 + h/((-25)/(-10)). What is the second derivative of -5*s**2 + r*s - s + 36*s**2 - 7*s wrt s? 62 Let r(z) = -3*z**3 - 3*z**2 - 44*z - 3. Let c(g) = -g**3 - 2*g**2 - 51*g - 4. Let s(b) = 6*c(b) - 7*r(b). What is the second derivative of s(a) wrt a? 90*a + 18 Find the second derivative of -8*g**3 + 12*g**3 + 52*g**2 - 2*g**3 + 124*g - 59*g**2 wrt g. 12*g - 14 Let b be 759/45 + 6/45. What is the first derivative of -6*u + 12*u - b - 6*u - 151*u**2 wrt u? -302*u What is the derivative of -172*m**2 - 183*m**2 - 1077 - 113 - 231*m**2 - 365*m**2 wrt m? -1902*m Suppose 0 = -3*g + g + 4. Let k be 6/(-45)*5*-3. Find the second derivative of -g*x**k + 6*x - 4*x**2 - 5*x**2 wrt x. -22 Let f be 9 - 2 - (-9)/(36/(-16)). Suppose 0*v - 4*h = -f*v + 9, 0 = -4*h. Find the third derivative of 13 - 9 - 11*q**2 - 24*q**v - 4 wrt q. -144 Let z(k) be the first derivative of -55*k**4/24 - 17*k**3/6 + 107*k**2 + 224. Let f(y) be the second derivative of z(y). Differentiate f(x) with respect to x. -55 Let u(c) = -2902*c**4 + 5*c**2 + 10*c - 485. Let o(z) = 4355*z**4 - 7*z**2 - 14*z + 728. Let f(l) = 5*o(l) + 7*u(l). What is the first derivative of f(w) wrt w? 5844*w**3 Let y be 60/(-75)*10/(-4). Suppose y*x - 4*x = -10. What is the third derivative of -x*u**2 + 15*u**4 - 26*u**3 + 26*u**3 wrt u? 360*u Let p(f) be the third derivative of 176*f**4 - 7709*f**3/6 - 10593*f**2. What is the derivative of p(v) wrt v? 4224 Let a(q) be the first derivative of -14*q**5/5 + 3*q**4/4 - 39*q**3 - 10375*q**2/2 - 6279. What is the second derivative of a(c) wrt c? -168*c**2 + 18*c - 234 Let i(b) be the first derivative of 146 - 105/2*b**2 + 0*b**5 - 1/2*b**6 + 1/2*b**4 + 0*b + 0*b**3. Find the second derivative of i(v) wrt v. -60*v**3 + 12*v Let n(r) = -194*r**2 + 41*r - 5055. Let a(b) = -155*b**2 + 40*b - 5056. Let s(c) = 3*a(c) - 2*n(c). What is the derivative of s(y) wrt y? -154*y + 38 Let z(x) = -2295*x**2 - 24*x + 879. Let m(j) = 459*j**2 + 5*j - 175. Let g(l) = 24*m(l) + 5*z(l). Find the first derivative of g(s) wrt s. -918*s What is the second derivative of -2*n**3 + 14*n**5 - 29*n**3 + 18*n**3 + 7*n**3 + 5260*n + 39*n**4 + 7*n**3 wrt n? 280*n**3 + 468*n**2 + 6*n Let r(j) = -55*j**3 + 7*j**2 + 31*j - 6. Let f(p) = p**2 + 9*p - 1. Let l(n) = 30*f(n) - 5*r(n). What is the third derivative of l(b) wrt b? 1650 Let f(k) = k**3 + k**2 + 4. Let m(g) = -140*g**3 + 3*g**2 + 5*g + 2932. Let q(i) = -3*f(i) + m(i). What is the first derivative of q(s) wrt s? -429*s**2 + 5 Let t(w) be the second derivative of 183*w - 167/2*w**2 + 0*w**4 - 16/3*w**3 + 1/30*w**6 + 0 + 0*w**5. What is the first derivative of t(x) wrt x? 4*x**3 - 32 Let x(r) be the first derivative of 5/2*r**6 + 18*r + 0*r**3 - r**2 + 3 + 0*r**4 + 0*r**5. What is the second derivative of x(m) wrt m? 300*m**3 Let k(y) = 10158*y**2 + 12*y - 99. Let x(t) = 50800*t**2 + 63*t - 497. Let z(r) = -14*k(r) + 3*x(r). Find the second derivative of z(s) wrt s. 20376 Let z(f) be the first derivative of -548*f**4 - 2039*f**2/2 + 554. What is the second derivative of z(t) wrt t? -13152*t Suppose 48 = 12*t - 0. What is the second derivative of 1131 - 2*z**2 + 2*z**2 + 16*z - 1124 - 94*z**t wrt z? -1128*z**2 Suppose -21 = 11*n - 18*n. Suppose -m - n*w + 4 = -18, 136 = 4*m - 4*w. What is the first derivative of -39*k**2 - 47*k + 47*k - m wrt k? -78*k Suppose 8*c - 165 = 3*c. Suppose -5*v - c + 143 = 0. Find the second derivative of -3*a**5 + 4*a**5 - 12*a - v*a**5 + 38*a wrt a. -420*a**3 Let f(b) be the third derivative of 109*b**9/504 - b**7/210 - 133*b**5/20 - b**4/12 - 267*b**2. Find the third derivative of f(r) wrt r. 13080*r**3 - 24*r Let l(p) = -p**2 + 5*p + 24. Let q be l(-9). Let j = q + 106. What is the second derivative of 5*m**4 + 4*m + 6*m**j + 0*m**4 + 2*m wrt m? 132*m**2 Let p(a) = -a**3 - a**2 + 2*a - 4. Let r(q) = 1511*q**3 - 614*q**2 + 6*q - 10. Let t(n) = 3*p(n) - r(n). Find the third derivative of t(o) wrt o. -9084 Let d be (-96)/144 - (1804/(-6) + -1). What is the second derivative of 301*o**3 + 2*o + 3*o**4 + 30 - d*o**3 wrt o? 36*o**2 Let b(v) = v**2 - v. Let d(f) = 3198*f**2 + 6*f - 4239. Let u(z) = -7*b(z) - d(z). What is the first derivative of u(g) wrt g? -6410*g + 1 Let j(k) be the second derivative of -173*k**6/30 + 713*k**2 + 9*k. What is the derivative of j(h) wrt h? -692*h**3 Suppose -272 = -10*j + 268. Find the second derivative of -238*f + j*f**2 - 8*f**2 + 67*f**2 wrt f. 226 Let o = -479 - -512. Find the first derivative of -30653*p**3 - 79 + o*p**2 + 30655*p**3 - 8*p**2 wrt p. 6*p**2 + 50*p Let a(l) = -23135*l + 14730. Let u(r) = -15423*r + 9797. Let k(p) = -5*a(p) + 7*u(p). Differentiate k(j) wrt j. 7714 Let f(x) be the first derivative of 121 + 0*x + 1/2*x**4 + 0*x**5 + 119/2*x**2 + 1/3*x**6 + 0*x**3. What is the second derivative of f(t) wrt t? 40*t**3 + 12*t Let a(n) be the second derivative of -n**8/4 - n**6/15 - 5*n**4/12 - 19*n**3/6 - 890*n. Find the third derivative of a(z) wrt z. -1680*z**3 - 48*z Let c(k) be the first derivative of -462*k**4 + k**3/3 - 5631*k + 147. Differentiate c(r) with respect to r. -5544*r**2 + 2*r What is the derivative of -65*c**2 - 157 - 251 - 3*c - 28*c**2 - 2*c - 3*c wrt c? -186*c - 8 Suppose 16*z + 69 = 15*z. Let j = -63 - z. What is the second derivative of 2*h + j*h + 4*h + h**2 - 9*h wrt h? 2 Let o(g) be the first derivative of -773*g**5/5 + 3177*g + 1162. Differentiate o(n) with respect to n. -3092*n**3 What is the second derivative of 264 - 3*o + 5*o - 401*o**3 + 684 + 178 + o**4 wrt o? 12*o**2 - 2406*o Let v(m) be the second derivative of m**6/30 + 129*m**5/5 - m**3/2 + 36*m**2 + 4*m + 17. Find the second derivative of v(h) wrt h. 12*h**2 + 3096*h Let x(s) = 31*s**4 - 16*s**3 - 3*s**2 - 866*s + 3. Let q(d) = -d**2 - 2*d + 1. Let u(v) = 3*q(v) - x(v). What is the second derivative of u(t) wrt t? -372*t**2 + 96*t Let h(j) = -7*j**4 + 975*j**3 + 3*j - 4720. Let y(k) = -10*k**4 + 973*k**3 + 4*k - 4721. Let s(m) = 4*h(m) - 3*y(m). What is the first derivative of s(z) wrt z? 8*z**3 + 2943*z**2 Let c(f) = 580*f**2 - 11*f - 3311. Let g(m) = -193*m**2 + 4*m + 1115. Let b(t) = 4*c(t) + 11*g(t). Find the first derivative of b(h) wrt h. 394*h What is the second derivative of -101*z**2 + 109768*z**3 - 617*z + 1 - 219509*z**3 + 109765*z**3 wrt z? 144*z - 202 Let a be 6 + 0 + 4 + (1 - 9). Find the second derivative of -2 - 31*p**3 - 20*p**a + 38*p**3 + 36*p - 7*p + 23*p**2 wrt p. 42*p + 6 Let o(z) be the first derivative of 0*z - 58*z**2 - 64/3*z**3 + 115 + 1/4*z**4. What is the second derivative of o(u) wrt u? 6*u - 128 Suppose 16 = 285*k - 281*k. What is the derivative of 12*r**3 - 3*r - 11 + 18 + 0 + k*r wrt r? 36*r**2 + 1 Let c = -88 - -113. Find the second derivative of 6*z + 11*z + 2*z**2 + 13*z + c*z**2 wrt z. 54 Let t(j) = j**2 - 5*j -
{ "pile_set_name": "DM Mathematics" }
8? (a) 2/7 (b) 3 (c) 7064 b What is the nearest to -1/2 in 93, -2, 3, -123? -2 What is the closest to 0.1 in -6, -3/214, 2, 8/13? -3/214 Which is the nearest to -13? (a) -2/11 (b) 259 (c) 30 a Which is the nearest to -519? (a) -3/2 (b) 0.017 (c) -0.5 a Which is the nearest to 14? (a) -1/3 (b) 2 (c) -2/41 (d) -5 b Which is the closest to -3/4? (a) -1/231 (b) 1279 (c) -0.3 c What is the closest to 1884 in -0.4, -1, -0.3? -0.3 What is the nearest to 0 in 4, 1/5, 2/9, 437, 2/3? 1/5 Which is the closest to 0.1? (a) -3 (b) 84/47 (c) 578 b What is the nearest to 0.02 in 11, 1, -2? 1 Which is the nearest to -1? (a) 1/37 (b) 9 (c) -1.7 (d) 0.3 (e) -1/4 c Which is the nearest to 1? (a) -2/11 (b) -2/177 (c) 1 c What is the closest to -2 in 4/7, 1/7, 6, 5, 3/2? 1/7 Which is the closest to 0.1? (a) -17 (b) 4/67 (c) 3 (d) -5 (e) 0.3 b What is the nearest to 1 in 0.2, 2/5, 2/3, -2/3, 40? 2/3 What is the nearest to -2/65 in 105, -2, 0.4, 3/7? 0.4 What is the nearest to -6/13 in -1.518, -5, -3/5, 4, 21/4? -3/5 Which is the nearest to -5/14? (a) 7 (b) -54 (c) 0.3 (d) -0.5 d What is the nearest to 2/21 in 191, -4, -2? -2 Which is the nearest to 0? (a) 4254 (b) 2 (c) -1/4 c What is the nearest to 0.8 in -0.9, 5, -1/153? -1/153 What is the closest to -0.06 in 2/5, -0.7, 437? 2/5 What is the closest to 2.27 in 0.1, 11, -2/5, 0.5, -4/5? 0.5 What is the nearest to 3 in -4, 0.5, 69, -0.2? 0.5 What is the closest to 2/9 in 10, -439, -5? -5 What is the nearest to 4 in 2, -423, 2/13, -14? 2 Which is the nearest to 24? (a) 1/6 (b) -18 (c) -0.3 (d) -5 a What is the closest to -0.15 in -13, 5, -0.9, 4? -0.9 Which is the nearest to -76? (a) -3 (b) 15 (c) 1/27 (d) -1/17 (e) 1/2 a Which is the closest to -9? (a) 3/5 (b) -0.6 (c) 0 (d) -5 (e) -4/13 d What is the nearest to -693 in -0.03, -2, 0, -13/3? -13/3 Which is the nearest to -0.4? (a) 117 (b) -2/17 (c) 6 (d) 0.5 b What is the closest to -0.3 in -0.3, -2/21, -3/7, -2/25? -0.3 Which is the closest to 5? (a) -1/2 (b) -71 (c) -4 (d) 4 (e) -9 d What is the closest to -595 in 0.2, 0.5, 51, -0.2, 0.3? -0.2 What is the closest to -1 in 0, -1/2, 97.588? -1/2 What is the closest to -1 in -6/43, 0, 55/2, -1/2, -4? -1/2 Which is the nearest to -1? (a) -0.5 (b) 5 (c) 0.3 (d) 25 a Which is the closest to -1? (a) 0.1 (b) -4 (c) -27 (d) -1/7 (e) -8/7 e What is the nearest to -2 in 4, 187, -4, -1/7, 2/13? -1/7 What is the nearest to -1 in 1/3, -0.181, 121/5? -0.181 What is the nearest to 0 in 5, -0.4, 212.06? -0.4 What is the closest to -1 in 0.4, -1, 2, -13/2? -1 What is the nearest to -0.11 in -0.3, 80, -1, 3/2? -0.3 Which is the closest to 4039? (a) 2 (b) 6 (c) 5 b Which is the nearest to -3/4? (a) 3/5 (b) -2/49 (c) 4 (d) 40 b What is the nearest to -2/3 in 3/2, 3/55, 0? 0 Which is the nearest to -1? (a) -2 (b) 8 (c) 0.28 (d) -29/2 a Which is the nearest to -9? (a) 0.4 (b) -0.5 (c) -3/20 b Which is the nearest to 0.19? (a) -2 (b) 0.29 (c) 0 (d) -0.2 (e) -0.05 b What is the nearest to 1/3 in 2/255, 193, -3? 2/255 What is the nearest to -19 in 134, 4, 2? 2 What is the nearest to 0.2 in -4, 14, -1/18, 1.1? -1/18 What is the closest to 1/4 in 236, -2/19, -18? -2/19 Which is the closest to 1? (a) -74.1 (b) 8 (c) 2 c What is the closest to 3 in 1, -2/5, 16.2, 2? 2 What is the closest to 0 in 17.4, 0, -2/119, -0.3, 1? 0 Which is the nearest to -0.03? (a) 2/751 (b) 0.4 (c) -0.1 (d) 0 d What is the nearest to 1 in -888, -1/4, 1/6? 1/6 What is the nearest to 8 in -4.1, -3, -4, 2, 3/7? 2 Which is the closest to 13? (a) 1 (b) -5/7 (c) -0.022 a Which is the nearest to -2/265? (a) -4 (b) -1 (c) 68 b Which is the closest to -2/7? (a) 3/49 (b) 6 (c) -0.4 (d) 0.2 (e) -0.7 c Which is the closest to -0.2? (a) -0.2 (b) 0.01 (c) -335 a Which is the nearest to -0.1? (a) 0 (b) 1/923 (c) 4/3 a What is the closest to 0 in -0.014, 0.2, -118? -0.014 What is the closest to -0.1 in 1259, 2, -1, 0.04? 0.04 Which is the nearest to 1/4? (a) -2064 (b) 17 (c) -1/3 c What is the nearest to -2 in 4, -0.3, -33.6? -0.3 What is the nearest to 0 in -10, -4, 3, 4/1445, -1? 4/1445 What is the nearest to -0.5 in 1, -12.76, -1, -3/7? -3/7 Which is the nearest to 3? (a) -1/8 (b) -0.2 (c) 31.4 a Which is the closest to 0.1? (a) -2/11 (b) 2/13 (c) 84 (d) -2/3 (e) -0.2 b What is the closest to 1/4 in 0.2, -2, -4/349, -1/4, 4? 0.2 Which is the closest to 0? (a) -2/3 (b) -0.04 (c) 30 b What is the nearest to -375 in 1/11, 0.5, 29? 1/11 Which is the closest to -5? (a) 9 (b) 1/2 (c) -9 c Which is the nearest to 0.3? (a) 290 (b) -3 (c) 3/8 (d) -0.2 (e) -4 c What is the closest to 0 in -3, -6/569, 2/21? -6/569 Which is the nearest to -4/3? (a) 0.7 (b) -3/4 (c) 1/6 (d) -7 b What is the closest to 1/2 in 11921, 5, 0.1? 0.1 What is the closest to 2 in -0.52, -0.4, -27/2? -0.4 What is the nearest to -2 in -0.1, 0.1, 88, 2/13? -0.1 What is the nearest to 0 in 2/3, 5851, 0.3? 0.3 What is the nearest to -0.2 in 5, -27, -4/9, 3/2, -2/11? -2/11 Which is the closest to 0? (a) 102 (b) -5 (c) 3 (d) 35 c What is the nearest to -158 in 4, 25, 0.5? 0.5 Which is the nearest to -0.1? (a) -0.1 (b) -2/7 (c) 3.851 a What is the closest to 2/7 in 1, 0.4, -1/10, 0.5, -0.06? 0.4 Which is the nearest to 3/23? (a) 0.6 (b) -0.02 (c) 5 b What is the closest to 0 in 2/13, -5, 2/7, -3/43, 10? -3/43 What is the closest to 2/3 in -2/41, -4, 3/22, 0.1, -4/9? 3/22 Which is the nearest to -1? (a) -12 (b) -0.21 (c) 0.01 (d) -2/17 (e) 5 b Which is the closest to -18? (a) -1 (b) -0.5 (c) 0.018 (d) -0.1 a Which is the closest to -1? (a) 84 (b) -11 (c) -1/3 c What is the nearest to 63 in 0.5, -3, 12? 12 Which is the nearest to -2? (a) -13 (b) 4 (c) 1 (d) -715/7 c What is the nearest to 0.02 in 0.4, -61, 2/3? 0.4 Which is the nearest to 0.1? (a) 2/3 (b) -5/13 (c) 3/8 (d) -0.5 (e) 4 c What is the nearest to -0.58 in 1/9, -1/8, -4? -1/8 Which is the nearest to 1/4? (a) -1/3 (b) 0.3 (c) 0.015 (d) 0 (e) 0.29 e Which is the closest to -0.2? (a) 61 (b) 1/2 (c) -1/9 (d) -3 c What is the closest to -0.3 in -43, 0.4, 0.054, 2, -0.5? -0.5 Which is the nearest to -0.3? (a) 823 (b) -2/7 (c) -4 (d) 2 b Which is the nearest to -1? (a) -3/2 (b) -5/11 (c) -3/1112 a Which is the closest to -4.1? (a) 1/805 (b) -2/3 (c) 2 b What is the nearest to 2 in -0.9, -3, 0.4, 0.605? 0.605 Which is the nearest to -0.2? (a) -4/9 (b) 14 (c) 4 a Which is the closest to 125/6? (a) 5 (b) 5/4 (c) -4 (d) 18 d Which is the nearest to 335? (a) -1.4 (b) -2/13 (c) 0.4 (d) -2/7 c What is the nearest to -29/8 in -0.6, -1/7, 4? -0.6 What is the nearest to 1/14 in 2/3, 97/3, 1/2? 1/2 Which is the nearest to -7? (a) 59 (b) -2/9 (c) -65 (d) -3 d What is the closest to -2/5 in 0.4, 0.3, 1073377/2? 0.3 What is the closest to 5 in 5, -56, -11, -0.08? 5 Which is the nearest to -108? (a) 1/5 (b) -10 (c) -37 (d) 4 c Which is the closest to -6.1? (a) -0.06 (b) 4 (c) -12 c Which is the nearest to 19/4? (a) -0.1 (b) 3 (c) -13 (d) -2/23 b Which is the closest to 1? (a) 1/2 (b) -2.5 (c) 5 (d) -63 (e) 4 a Which is the nearest to -8/7? (a) 1 (b) 5 (c) 0.4 (d) 2/19 (e) 1/9 d What is the nearest to -0.04342 in 5, 3, 7? 3 Which is the nearest to 1/3? (a) -11 (b) -1.4 (c) -5 (d) 4 (e) -1/4 e What is the closest to -1 in 120/13, 0, -61? 0 What is the closest to -1/3 in 1, -2281.7, 0.1? 0.1 Which is the closest to -68? (a) 25/2 (b) -2 (c) 1 (d) 0.3 b Which is the closest to -43/6? (a) -0.3 (b) -2 (c) -129 b Which is the closest to 0? (a) -0.18 (b) 15/7 (c) 3 a Which is the nearest to -25? (a) 3 (b) 0.1 (c) -14/9 (d) -4 d Which is the nearest to 0.1? (a) -0.1 (b) 2 (c) -611 (d) -32 a Which is the closest to 4.5? (a) -5 (b) -69 (c) -1/2 (d) -0.1 d What is the nearest to 3/4 in 2300, -2/15, -2/5? -2/15 Which is the closest to 1/2? (a) 21 (b) 5 (c) -168/11 (d) -1 (e) -5 d What is the closest to 2/187 in 12, -29, -0.4? -0.4 Which is the nearest to -1/2? (a) 3 (b) 0.1 (c) 8 (d) 4 (e) -181 b What is the closest to -1/4 in 5/7, -0.4, 88.9? -0.4 Which is the closest to -0.5? (a) 0.4 (b) -2393 (c) -2/7 c Which is the closest to 0.06? (
{ "pile_set_name": "DM Mathematics" }
t is the square root of 7623 to the nearest integer? 87 What is 151930 to the power of 1/2, to the nearest integer? 390 What is the third root of 872 to the nearest integer? 10 What is the third root of 21534 to the nearest integer? 28 What is the cube root of 13552 to the nearest integer? 24 What is the cube root of 9773 to the nearest integer? 21 What is 21309 to the power of 1/2, to the nearest integer? 146 What is 1930 to the power of 1/5, to the nearest integer? 5 What is the third root of 802 to the nearest integer? 9 What is 5527 to the power of 1/3, to the nearest integer? 18 What is the cube root of 9438 to the nearest integer? 21 What is 1095 to the power of 1/3, to the nearest integer? 10 What is the third root of 6802 to the nearest integer? 19 What is 107619 to the power of 1/3, to the nearest integer? 48 What is the fifth root of 54166 to the nearest integer? 9 What is the cube root of 119310 to the nearest integer? 49 What is the third root of 32695 to the nearest integer? 32 What is the square root of 5201 to the nearest integer? 72 What is 1751 to the power of 1/6, to the nearest integer? 3 What is the eighth root of 12931 to the nearest integer? 3 What is the sixth root of 8803 to the nearest integer? 5 What is the eighth root of 335 to the nearest integer? 2 What is the third root of 95237 to the nearest integer? 46 What is 3925 to the power of 1/2, to the nearest integer? 63 What is 33694 to the power of 1/10, to the nearest integer? 3 What is 628 to the power of 1/3, to the nearest integer? 9 What is the square root of 1490 to the nearest integer? 39 What is 304 to the power of 1/5, to the nearest integer? 3 What is 144 to the power of 1/4, to the nearest integer? 3 What is 1338 to the power of 1/2, to the nearest integer? 37 What is the square root of 31447 to the nearest integer? 177 What is 8283 to the power of 1/9, to the nearest integer? 3 What is the square root of 11845 to the nearest integer? 109 What is 2784 to the power of 1/8, to the nearest integer? 3 What is the eighth root of 1115 to the nearest integer? 2 What is the square root of 9968 to the nearest integer? 100 What is 156 to the power of 1/6, to the nearest integer? 2 What is the cube root of 816 to the nearest integer? 9 What is the cube root of 8600 to the nearest integer? 20 What is 6009 to the power of 1/3, to the nearest integer? 18 What is the square root of 2422 to the nearest integer? 49 What is the third root of 2013 to the nearest integer? 13 What is the cube root of 338 to the nearest integer? 7 What is 76475 to the power of 1/3, to the nearest integer? 42 What is the cube root of 87279 to the nearest integer? 44 What is the tenth root of 6942 to the nearest integer? 2 What is 49768 to the power of 1/4, to the nearest integer? 15 What is the cube root of 1233 to the nearest integer? 11 What is 76033 to the power of 1/7, to the nearest integer? 5 What is 4877 to the power of 1/7, to the nearest integer? 3 What is the square root of 505 to the nearest integer? 22 What is 96 to the power of 1/7, to the nearest integer? 2 What is the third root of 14158 to the nearest integer? 24 What is 335 to the power of 1/10, to the nearest integer? 2 What is 28751 to the power of 1/2, to the nearest integer? 170 What is the third root of 830 to the nearest integer? 9 What is 7525 to the power of 1/2, to the nearest integer? 87 What is 19718 to the power of 1/7, to the nearest integer? 4 What is 8507 to the power of 1/3, to the nearest integer? 20 What is 97285 to the power of 1/2, to the nearest integer? 312 What is the ninth root of 54529 to the nearest integer? 3 What is the square root of 22054 to the nearest integer? 149 What is the cube root of 1469 to the nearest integer? 11 What is the third root of 519 to the nearest integer? 8 What is 30460 to the power of 1/2, to the nearest integer? 175 What is the square root of 2095 to the nearest integer? 46 What is the third root of 482 to the nearest integer? 8 What is 1959 to the power of 1/9, to the nearest integer? 2 What is 45049 to the power of 1/4, to the nearest integer? 15 What is the square root of 6884 to the nearest integer? 83 What is 4613 to the power of 1/2, to the nearest integer? 68 What is the square root of 229 to the nearest integer? 15 What is 3915 to the power of 1/3, to the nearest integer? 16 What is the sixth root of 987 to the nearest integer? 3 What is the third root of 1974 to the nearest integer? 13 What is 5458 to the power of 1/2, to the nearest integer? 74 What is the square root of 21562 to the nearest integer? 147 What is 30354 to the power of 1/5, to the nearest integer? 8 What is the fifth root of 1314 to the nearest integer? 4 What is 32892 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 38460 to the nearest integer? 3 What is the fourth root of 59084 to the nearest integer? 16 What is the cube root of 4649 to the nearest integer? 17 What is 7986 to the power of 1/3, to the nearest integer? 20 What is 4084 to the power of 1/2, to the nearest integer? 64 What is 2141 to the power of 1/2, to the nearest integer? 46 What is 12453 to the power of 1/7, to the nearest integer? 4 What is the square root of 4987 to the nearest integer? 71 What is the seventh root of 114595 to the nearest integer? 5 What is the cube root of 72386 to the nearest integer? 42 What is 7299 to the power of 1/2, to the nearest integer? 85 What is 792 to the power of 1/4, to the nearest integer? 5 What is the square root of 2204 to the nearest integer? 47 What is 791 to the power of 1/3, to the nearest integer? 9 What is 927 to the power of 1/6, to the nearest integer? 3 What is 23556 to the power of 1/2, to the nearest integer? 153 What is 28337 to the power of 1/2, to the nearest integer? 168 What is the third root of 36383 to the nearest integer? 33 What is 11241 to the power of 1/4, to the nearest integer? 10 What is 4662 to the power of 1/9, to the nearest integer? 3 What is 2032 to the power of 1/2, to the nearest integer? 45 What is 4548 to the power of 1/2, to the nearest integer? 67 What is 380 to the power of 1/3, to the nearest integer? 7 What is 9309 to the power of 1/2, to the nearest integer? 96 What is 830 to the power of 1/7, to the nearest integer? 3 What is the ninth root of 41972 to the nearest integer? 3 What is the square root of 7290 to the nearest integer? 85 What is 54954 to the power of 1/2, to the nearest integer? 234 What is the third root of 3442 to the nearest integer? 15 What is the square root of 119864 to the nearest integer? 346 What is the cube root of 134 to the nearest integer? 5 What is the tenth root of 19467 to the nearest integer? 3 What is the square root of 41132 to the nearest integer? 203 What is 3837 to the power of 1/2, to the nearest integer? 62 What is 3246 to the power of 1/3, to the nearest integer? 15 What is the seventh root of 1986 to the nearest integer? 3 What is 123110 to the power of 1/10, to the nearest integer? 3 What is 4714 to the power of 1/4, to the nearest integer? 8 What is the eighth root of 2965 to the nearest integer? 3 What is the cube root of 42798 to the nearest integer? 35 What is 648 to the power of 1/3, to the nearest integer? 9 What is the seventh root of 6986 to the nearest integer? 4 What is the square root of 258 to the nearest integer? 16 What is 69454 to the power of 1/2, to the nearest integer? 264 What is 8310 to the power of 1/3, to the nearest integer? 20 What is 1675 to the power of 1/4, to the nearest integer? 6 What is 6810 to the power of 1/6, to the nearest integer? 4 What is the square root of 541 to the nearest integer? 23 What is 2120 to the power of 1/2, to the nearest integer? 46 What is 821 to the power of 1/2, to the nearest integer? 29 What is the square root of 1067 to the nearest integer? 33 What is the square root of 1433 to the nearest integer? 38 What is 5122 to the power of 1/5, to the nearest integer? 6 What is the square root of 59302 to the nearest integer? 244 What is 64344 to the power of 1/3, to the nearest integer? 40 What is 2964 to the power of 1/2, to the nearest integer? 54 What is 4464 to the power of 1/4, to the nearest integer? 8 What is 23931 to the power of 1/
{ "pile_set_name": "DM Mathematics" }
cked without replacement from bttlttmltttltt. Give prob of sequence bl. 3/182 What is prob of sequence cfu when three letters picked without replacement from cuffukukuumuuuuu? 1/168 Three letters picked without replacement from ppllyyppluppyluullp. What is prob of sequence lly? 5/323 Calculate prob of sequence ooo when three letters picked without replacement from {a: 7, o: 6, g: 1}. 5/91 Two letters picked without replacement from {x: 4, c: 1, l: 6, u: 2, r: 7}. What is prob of sequence xx? 3/95 What is prob of sequence xxj when three letters picked without replacement from jjjjjxjx? 1/28 Calculate prob of sequence jtws when four letters picked without replacement from {s: 1, w: 2, h: 3, a: 1, j: 1, t: 3}. 1/1320 Three letters picked without replacement from {f: 3, c: 2, s: 7}. Give prob of sequence cff. 1/110 Two letters picked without replacement from {a: 1, r: 1, i: 2, p: 1}. What is prob of sequence pa? 1/20 What is prob of sequence nxxn when four letters picked without replacement from nxnxxnxxxnxnxx? 60/1001 What is prob of sequence ef when two letters picked without replacement from {e: 5, f: 2}? 5/21 Two letters picked without replacement from yljftfjlyyffyf. What is prob of sequence jl? 2/91 Three letters picked without replacement from gqliiwlc. What is prob of sequence igq? 1/168 Four letters picked without replacement from {k: 2, p: 3, g: 4}. What is prob of sequence pkgp? 1/63 Calculate prob of sequence ydas when four letters picked without replacement from ssadaayyd. 1/126 Calculate prob of sequence gn when two letters picked without replacement from {g: 12, n: 1, s: 1}. 6/91 Two letters picked without replacement from {n: 1, z: 2, o: 3, b: 4, w: 2}. What is prob of sequence wo? 1/22 What is prob of sequence rr when two letters picked without replacement from {f: 1, v: 1, r: 3, l: 9}? 3/91 Calculate prob of sequence qhiq when four letters picked without replacement from {s: 1, i: 4, q: 3, h: 3}. 1/110 Four letters picked without replacement from nhhjhqjhnnhqnjunqq. Give prob of sequence jhuh. 1/1224 Calculate prob of sequence wczi when four letters picked without replacement from wznwniwzwcgwcwwcwwwg. 1/1938 Four letters picked without replacement from uyuuuuuuyuyyuy. Give prob of sequence uuyu. 15/143 Calculate prob of sequence txt when three letters picked without replacement from {x: 3, t: 9}. 9/55 Three letters picked without replacement from {i: 2, q: 2, v: 1, j: 1, b: 4}. What is prob of sequence bjv? 1/180 Calculate prob of sequence hhhh when four letters picked without replacement from ddhdhhhhhhdhhhddhh. 11/68 Four letters picked without replacement from {c: 1, t: 3, d: 1, f: 1, m: 1}. Give prob of sequence tfmd. 1/280 Calculate prob of sequence wu when two letters picked without replacement from zhwuzwuzzjzz. 1/33 Calculate prob of sequence wdxm when four letters picked without replacement from {x: 2, w: 1, d: 1, m: 1}. 1/60 Four letters picked without replacement from {j: 4, y: 6, r: 4}. What is prob of sequence yjjr? 12/1001 What is prob of sequence pypy when four letters picked without replacement from pyyypyppppyypy? 21/286 What is prob of sequence hqqh when four letters picked without replacement from qqqqhqqhhqhh? 7/99 Calculate prob of sequence hm when two letters picked without replacement from xdxmxvdeheex. 1/132 Calculate prob of sequence ana when three letters picked without replacement from nlllwallnynnnla. 1/273 Three letters picked without replacement from iiaagbp. What is prob of sequence igp? 1/105 What is prob of sequence ir when two letters picked without replacement from rprrrrrrrhriip? 9/91 Three letters picked without replacement from zmxxzzmx. Give prob of sequence mxz. 3/56 What is prob of sequence dl when two letters picked without replacement from hhdhlllhhllhhdll? 7/120 Four letters picked without replacement from cccq. What is prob of sequence qqcq? 0 Calculate prob of sequence wnwn when four letters picked without replacement from {n: 2, w: 5}. 1/21 What is prob of sequence pppg when four letters picked without replacement from hhhgpphphghpgg? 4/1001 Three letters picked without replacement from {s: 5, o: 8}. Give prob of sequence oos. 70/429 Calculate prob of sequence ms when two letters picked without replacement from emlsmmbslsse. 1/11 Two letters picked without replacement from {c: 4, p: 1, u: 2, h: 3, e: 1}. Give prob of sequence ec. 2/55 Three letters picked without replacement from {f: 2, u: 3, h: 6, i: 4, w: 3}. What is prob of sequence uif? 1/204 Two letters picked without replacement from {n: 2, h: 1, f: 1, b: 1, u: 2}. What is prob of sequence un? 2/21 Three letters picked without replacement from jiiiiibii. Give prob of sequence jii. 1/12 What is prob of sequence km when two letters picked without replacement from kyyykllmyzzmm? 1/26 Two letters picked without replacement from {j: 2, i: 2, r: 1, h: 2, g: 1, n: 1}. Give prob of sequence jn. 1/36 Four letters picked without replacement from {t: 4, n: 6}. What is prob of sequence tttn? 1/35 Two letters picked without replacement from {m: 1, x: 3, b: 5, z: 1}. Give prob of sequence mx. 1/30 Four letters picked without replacement from {y: 6, f: 5, g: 6, t: 1}. What is prob of sequence ffft? 1/1224 Two letters picked without replacement from {x: 2, o: 1, h: 4}. Give prob of sequence hx. 4/21 What is prob of sequence oo when two letters picked without replacement from {o: 4, e: 1, a: 2, r: 1}? 3/14 Calculate prob of sequence xw when two letters picked without replacement from {l: 5, w: 12, x: 2}. 4/57 Two letters picked without replacement from azg. What is prob of sequence gz? 1/6 What is prob of sequence bto when three letters picked without replacement from ibittos? 1/105 Two letters picked without replacement from jvjvvvvcvvjjlj. Give prob of sequence vv. 3/13 Two letters picked without replacement from {s: 3, b: 1, f: 1, h: 3, n: 3, z: 3}. Give prob of sequence ns. 9/182 Calculate prob of sequence cpt when three letters picked without replacement from {c: 6, s: 1, t: 1, p: 1}. 1/84 Two letters picked without replacement from {f: 4, p: 3, l: 1}. What is prob of sequence fl? 1/14 Three letters picked without replacement from {e: 2, k: 14, a: 1}. What is prob of sequence aee? 1/2040 What is prob of sequence geg when three letters picked without replacement from {g: 2, e: 2, t: 1, k: 1, q: 1, r: 2}? 1/126 Four letters picked without replacement from xgzxdexdddg. What is prob of sequence gzxx? 1/660 Three letters picked without replacement from {s: 1, j: 1, z: 1, m: 1, b: 3, l: 5}. Give prob of sequence sbl. 1/88 Four letters picked without replacement from {y: 8, q: 3, h: 1, x: 4, v: 1}. What is prob of sequence qvyy? 1/340 Two letters picked without replacement from {s: 2, c: 9}. What is prob of sequence cs? 9/55 Two letters picked without replacement from {p: 9}. Give prob of sequence pp. 1 What is prob of sequence zjzj when four letters picked without replacement from zwzzwjzwwwjzz? 1/286 Four letters picked without replacement from {k: 2, l: 2, w: 2}. What is prob of sequence kllk? 1/90 Four letters picked without replacement from {i: 2, c: 2, g: 9, x: 3, d: 3}. What is prob of sequence cxdc? 1/5168 Two letters picked without replacement from tdfftxtddddddtd. What is prob of sequence xd? 4/105 Four letters picked without replacement from {n: 1, a: 1, f: 1, p: 1, x: 1, u: 2}. Give prob of sequence uxfn. 1/420 Calculate prob of sequence vt when two letters picked without replacement from mzbzvrt. 1/42 Two letters picked without replacement from {h: 2, k: 1, e: 4}. Give prob of sequence kh. 1/21 Two letters picked without replacement from {a: 1, g: 1, s: 2, e: 1, r: 5}. Give prob of sequence rs. 1/9 Calculate prob of sequence ll when two letters picked without replacement from klkkkklkll. 2/15 Calculate prob of sequence gg when two letters picked without replacement from {g: 8, x: 2}. 28/45 Calculate prob of sequence pvvo when four letters picked without replacement from baeepoevvopeeb. 1/3003 Four letters picked without replacement from ununununnuun. Give prob of sequence uunu. 2/33 Calculate prob of sequence nun when three letters picked without replacement from nnnnnunnnnnnnnnuun. 35/272 Two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
j. Let h(t) = o*k(t) + 11*s(t). Give h(5). 6 Let u(a) = a**2 + 5*a + 2. Let n be u(-5). Let y(i) = -3*i**2 + 5*i**n + i**2. What is y(-1)? 3 Let p be 3/(-2)*12/(-9). Let k(q) be the third derivative of 1/12*q**5 + 0 + q**p + 0*q + 1/6*q**3 + 0*q**4. Calculate k(1). 6 Let u(f) = -f**2 + f. Let p(v) = -5*v**2 + 11*v + 3. Let q(h) = -p(h) + 6*u(h). Calculate q(-3). 3 Let s(u) = u**3 + u**2 + 7. Let v be (-4)/6 + (-20)/(-3). Suppose 3 + v = 3*o. Suppose o*h = h. Give s(h). 7 Let b(c) = c - 1. Suppose 8 = -5*a + 18. What is b(a)? 1 Let q(d) = -6*d**3 + 5*d**2 + 2. Let j(l) = l**3 - l**2 - 1. Let g(b) = 5*j(b) + q(b). Suppose 0*z + 12 = 5*t - 3*z, -2*t - 20 = 5*z. Calculate g(t). -3 Let q(k) be the second derivative of 2*k + 0 + 1/6*k**3 - 3*k**2. Determine q(5). -1 Let a(m) = -m**3 - 6*m**2 - 3*m + 6. Suppose 0 = u + 1 + 4. Determine a(u). -4 Let o(r) = -4*r**2 + 11*r - 3. Let c(g) = -g**2 + 1. Let v(z) = -5*c(z) + o(z). Give v(-11). -8 Let k(j) = 2*j - 10. Let f(v) = -v**3 + 6*v**2 - 4*v + 3. Let h be f(5). Give k(h). 6 Let k(j) = 5*j - j - 7*j + 4. Determine k(3). -5 Let x = -15 - -17. Let i(y) = -y + y + x*y - 5*y. Give i(2). -6 Suppose -j + 7 = 3*h, -2*j + j + 5*h + 7 = 0. Let n(r) = 2 + 2 - 8 + r**3 - j*r**2 + 4*r + 3*r**2. Determine n(3). -1 Suppose -3 = 4*z - 2*i + 1, 3*z + 4 = 2*i. Suppose z*b - 3 = -b. Let n(u) = u**3 - 3*u**2 + 2*u - 4. Give n(b). 2 Let q = -5 + 9. Suppose -2*y = 12 - q. Let b(a) = -a**3 - a**2 + 1. Let i(o) = -4*o**3 - 2*o**2 - 2*o + 4. Let h(v) = 5*b(v) - i(v). Calculate h(y). 9 Let g be (-4 - -1)/6*-6. Let b(f) = f**2. What is b(g)? 9 Let c(b) = -b**3 - 5*b**2 - 5*b - 7. Let q = 29 - 34. Give c(q). 18 Suppose -2*f = 8, 10 = -2*y - 2*f + f. Let u(d) = -d**3 - 3*d**2 + d - 2. Give u(y). -5 Let o(g) be the first derivative of g**2/2 + 3*g - 3. Calculate o(5). 8 Let q(n) = n**2. Let z(y) be the third derivative of y**5/30 + 5*y**4/24 + 7*y**3/6 + y**2. Let a(c) = -q(c) + z(c). Calculate a(-5). 7 Let z(f) = -4 + 5 + 2*f + 2*f + f**2. Let p = 89 - 93. Determine z(p). 1 Let h(v) = 4*v**2 - 10*v + 2. Let n(w) = w**2 - w + 1. Let t(l) = h(l) - 3*n(l). Give t(6). -7 Let r be (-6)/(-8)*104/39. Let z(v) = 0*v - v**2 - 4*v + 1 + 0*v + r. Calculate z(-6). -9 Let x(s) = -s**2 - 23*s - 50. Let w be x(-21). Let y(h) = -h**2 - 8*h - 3. Determine y(w). -3 Let a(u) = -3*u - 8. Let p be (3/(-6))/((-2)/(-24)). Give a(p). 10 Suppose 28 = -5*k - 0*k - j, 3*j = 4*k + 11. Let f(s) = 5 + 0*s - 4*s**2 + 5*s - s**3 + 2*s + 0. Give f(k). -5 Let p(z) be the third derivative of -z**9/10080 - z**8/10080 + z**7/5040 + z**5/60 - 2*z**2. Let u(a) be the third derivative of p(a). Determine u(1). -7 Let m(f) = -f**2 - 3. Let b be (2/(-1))/(-2)*0. Suppose b = -h + 6*h. Determine m(h). -3 Let n(f) = -5*f - 4. Let i be -3*(-1 + (-4)/12) - 0. Calculate n(i). -24 Let f(y) be the second derivative of -y**4/12 + y**3/2 + y**2/2 - 2*y - 2. Let v be -10*((-6)/5)/3. Calculate f(v). -3 Let f = 0 - 6. Let a = -6 - f. Let x(r) = -r - 3. Let g(o) = -o - 4. Let n(j) = -3*g(j) + 2*x(j). Give n(a). 6 Let r(k) = -k. Let c(g) = 5*g. Let s(v) = -11*v**2 + 2*v. Let w be s(1). Let o(y) = w*r(y) - 2*c(y). Calculate o(-4). 4 Suppose -r = v + r + 4, 5*v = -4*r - 2. Let h(s) = -11*s + 9. Let t(l) = 16*l - 13. Let q(y) = -7*h(y) - 5*t(y). Give q(v). -4 Let d(y) be the third derivative of y**5/30 + y**4/24 - y**3/6 - 4*y**2. What is d(2)? 9 Let z(q) = q**3 + q**2 + 1. Let k be z(0). Let n be (k/2)/(1/(-2)). Let h(d) = d. Let a(f) = 8*f - 4. Let m(w) = n*a(w) + 5*h(w). Determine m(3). -5 Let r(y) = -3*y**2 + y - 1. Let h be r(1). Let x(b) = -2 - 3*b - 3*b + 4*b. Give x(h). 4 Let h(p) be the second derivative of -p**4/12 + p**3/2 + 3*p**2/2 - 20*p. Suppose 3*v = 2*j - 4*j + 13, 5*v = -j + 24. Determine h(v). -7 Let h(a) = a**2 - 10*a + 12. Suppose 43 = 5*p + 3. What is h(p)? -4 Let f(l) be the first derivative of -l**2 + 0*l + 1/6*l**3 + 1 - 1/3*l**4. Let p(w) be the second derivative of f(w). What is p(-1)? 9 Let r be 8 + -5 + -7 + 1. Let h(s) be the first derivative of -s**4/4 - 2*s**3/3 + 5*s**2/2 + 4*s + 1. Give h(r). -2 Let c(x) = -3*x - 1. Suppose o = -2*o. Suppose 4*k = -2*p + 14, o = 3*p - p - 3*k + 14. Let h = p - 1. What is c(h)? 5 Let r(q) = 11*q - 1. Let h(k) = 9*k - 1. Let m(g) = -3*h(g) + 2*r(g). Calculate m(1). -4 Let j(q) = q**2 + 7*q - 14. Let h be j(-9). Let v(x) = x + 1. Calculate v(h). 5 Let g(k) = 5*k**2 - 1. Let n(c) = 11*c**2 - 2. Let z(x) = -7*g(x) + 3*n(x). Let t(p) be the first derivative of z(p). Let o be (5/20)/(2/(-8) + 0). Give t(o). 4 Let o(s) be the third derivative of -s**4/12 + s**3/6 - 4*s**2. Give o(-4). 9 Suppose 2*t + 4 = 4*t. Let v = -5 - -5. Let n(f) = v*f**2 + 5*f - 4*f - f**2. Determine n(t). -2 Let c(u) = -u**3 + 4*u**2 + 7*u - 1. Suppose 8 = -4*v - 0. Let j(d) = d + 0*d + 5 - 6 - d**3. Let w be j(v). Give c(w). 9 Let l(c) = c**2 - 6*c - 8 - 2*c - 2*c**2. What is l(-6)? 4 Let a(b) = -b**3 + 8*b**2 + 2. Let k be a(8). Let p(z) be the first derivative of z + 1/3*z**3 - z**2 - k. Give p(1). 0 Let u(y) be the second derivative of 1/2*y**2 - 1/2*y**3 + y + 0. Determine u(1). -2 Let k(x) = x**2 - 7*x. Let d be k(7). Let s(c) be the second derivative of d + c**2 + 2*c - 1/12*c**4 - 1/2*c**3. Give s(-5). -8 Suppose -2*a + 15 = 3*a. Let y(s) = -a + 3 + 2*s - 3*s + 9. Suppose 5 = d, 8*t - 4*t - 41 = -5*d. Determine y(t). 5 Let l be (-2 - -4)/(3/6). Let r(j) = j**3 - 4*j**2 - 5*j + 11. Let i(d) = -d + 1. Let s(h) = 6*i(h) - r(h). Calculate s(l). -9 Let m(i) = 66*i + 62*i - i**3 - i**2 - 126*i. Give m(-2). 0 Suppose -3*i = -2 - 10. Let l(w) = -3*w**3 + 9*w**2 - 1. Let s(k) = -7*k**3 + 19*k**2 - 1. Let y(c) = i*s(c) - 9*l(c). Determine y(-5). 5 Let o(s) = 3*s**3 - 2*s**2 - s. Let f(q) = q**3 - 24*q**2 + 24*q - 25. Let j be f(23). Calculate o(j). -30 Let t(z) = 22*z + 11. Let o(s) = -14*s - 7. Let q(d) = -8*o(d) - 5*t(d). What is q(5)? 11 Let y(s) be the third derivative of s**5/60 + 7*s**4/24 + s**3/6 - 65*s**2. Calculate y(-6). -5 Let b(r) = -r**3 + 5*r**2 - r + 5. Let d be b(5). Let p be -4 - (-2 + (d - -1)). Let l(o) = -o. Give l(p). 3 Suppose 7 = 2*s + 1. Let u(j) = 5 - 7*j + 3 + 6*j**2 + 2*j + j**s. Calculate u(-7). -6 Let o(i) = 3*i - 1. Let x(a) be the first derivative of a**2/2 - a + 2. Let m(v) = o(v) - 2*x(v). Suppose 5*c = 4 + 11. What is m(c)? 4 Let d be 2 - -1*(7 + -3). Let v(q) = q**2 - q. Let h(k) = -k**3 + 9*k**2 - 5*k + 6. Let b(i) = -h(i) + 3*v(i). Calculate b(d). 6 Suppose 0 = -4*v + v - 3. Let j be -1 + -1 + 4 - -1. Let u(x) = -4*x - 2*x - x**j + 3*x**3 + 5*x. Determine u(v). -1 Suppose 0 = -3*g + 4*g. Suppose g*f - 20 = -4*f. Let q(m) = -4 - 11*m + 22*m - 10*m. Give q(f). 1 Let k(l) be the first derivative of -l**5/60 + l**4/4 - l**3/2 + l**2 - 2. Let g(x) be the second derivative of k(x). Calculate g(5). 2 Let k(v) = 8 - 7 + 1 + v + 0. Give k(8). 10 Let m(v) = 2*v**2 - 7*v + 4. Let x(q) = 2 + 2*q - 3*q + 2 + 0. Let w(g) = g**2 + 5*g. Let i be w(-5). Let s be x(i). Give m(s). 8 Suppose -m + 5 = -0. Let y(u) = 3*u**3 + 0*u**3 - 4*u**3 + u - m + 0*u**3. Calculate y(0). -5 Suppose -4*h - u + 11 = 0, -2*u + 5*u - 3 = -2*h. Let i be ((-3)/2)/(h/(-4)). Let x(p) = -3*p**2 + 2*p. Determine x(i). -8 Suppose 4*w - 10 - 2 = 0. Let o(r) be the first derivative of -3/4*r**4 + 0*r - 1/3*r**w - 1 + 0*r**2. What is o(-1)? 2 Suppose -46 + 1 = 5*z. Let l(c) = -c**3 - 8*c**2 + 10*c + 9. Calculate l(z). 0 Let q(b) = -b**3 - 5*b**2 - 3*b - 3. Let l = -95 - -91. What is q(l)? -7 Suppose 0*b = 2*b - 10. Suppose 0 = -b*t - 2*y + 29, -4*y - y = 5*t - 20. Suppose 4*n - 3 = -t. Let m(k) = -7*k**3 + k**2 + k. Calculate m(n). 7 Suppose -4*o + 10 = -g, o + 10 - 2 = -5*g. Let m be 0 + o - (-12)/(-2). Let p(s) = -s**2 - 5*s. Determine p(m). 4 Let u = 21 - 12. Suppose -i - 1 = -u. Suppose -i = -2*t, -3*c = -6*c + 3*t - 6. Let z(m) = -m**3 + 2*m**2 - m - 1. Determine z(c). -3 Let h be 3*(2 - 1) + -1. Let q(g) = -g - 2. Let n be q(-4). Let t(f) = f - f**2 + 2*f**n + 0*f**2. Give t(h). 6 Let w(q) = -15*q + 21. Let v(l) = -7*l + 10. Let g(j) = 13*v(j) - 6*w(j). Let i(n) = -n**3 + 4*n**2 - 3*n - 1. Let f be i(3). Let b = f - -7. Give g(b). -2 Let m be (-2)/(-3)*(-5 - -8). Let v(q) = q - 5 - m*q + q + q. What is v(6)? 1 Let r(b) = b**3 - 7*b**2 + b - 6. Let x be r(7).
{ "pile_set_name": "DM Mathematics" }
me factors of 3 - 11/(y/100). 53 Suppose t - 25 = 4*a, -4*a - a = -15. Suppose 0 = -2*k - 4*s - 34, -5*k + s = t + 103. What are the prime factors of (20/(-12))/(3/k)? 3, 5 Let c = -1405 + 2757. List the prime factors of c. 2, 13 Suppose 0*s - 2*s - 5*v + 4 = 0, 10 = -4*s - v. Let b = s + 9. Let x = b + 0. List the prime factors of x. 2, 3 Let x(w) = w + 11. Let z be x(-4). Let o be z + -8 + 19*-1. What are the prime factors of 2*5/(o/(-16))? 2 List the prime factors of (219/9)/(8/24). 73 Suppose -2*k - 2*w + 399 = -195, 313 = k - 3*w. Let n = k + -93. List the prime factors of n. 2, 13 Let s(t) = 22*t**2 + 10*t - 18. What are the prime factors of s(3)? 2, 3, 5, 7 Suppose -4*t + 72 = -4*q, 0*q - 2*q = -4*t + 34. Let b be 0*(-1 + 2) + -130 + 128. List the prime factors of (q/19)/(b/92). 2, 23 Let a(w) = -w**3 - 8*w**2 + 5*w + 3. Let g = -17 - -8. Let y be a(g). Let f = -7 + y. List the prime factors of f. 2 Suppose 0 = -2*y + 13*y. Suppose -3*q + 6*q - 81 = y. What are the prime factors of q? 3 Suppose 7*s - 412 = 3*s. Suppose -47 - s = 3*x. What are the prime factors of x/(-2) + (-1 - -3)? 3 Suppose -15*j = -12398 - 4522. What are the prime factors of j? 2, 3, 47 Let j(y) = y + 12. Let c be j(12). Suppose -97 + c = -t. What are the prime factors of t? 73 Suppose -2*h = 5*s + 5, -1 = s + 2*h + 3*h. Let t be 9/((-3)/s) - -7. Let j = t - 8. List the prime factors of j. 2 Let h(c) = -752*c**3 + 2*c + 5. What are the prime factors of h(-2)? 11, 547 Suppose 5*c = 2*f - 205 + 1636, -2*f = 6. Let q(y) = y - 13. Let r be q(15). Suppose -r*b + 7*b = c. What are the prime factors of b? 3, 19 Let p(n) = -3*n + 8. Suppose 2 = -2*b, 5*u - 3*b + 8 = 1. What are the prime factors of p(u)? 2, 7 Suppose -2 = -2*a + 4. Let t = -3 - a. Let j(r) = r**2 - 2*r - 7. List the prime factors of j(t). 41 Suppose -10 = -w + 4*r, -20 = -5*w + 4*r + r. Suppose -k + w = -1. What are the prime factors of -3 - -34 - (k + 0)? 2, 7 Let d(z) = 5*z**3 + 29*z + 47*z - 2 - 2*z**2 - 66*z. Let y(a) = a**3 + a. Let b(c) = -d(c) + 6*y(c). List the prime factors of b(2). 2, 5 List the prime factors of (166/(-4))/((4 + 1)/(-10)). 83 Let o = 6948 - 2769. What are the prime factors of o? 3, 7, 199 Let r = 1956 - 1377. What are the prime factors of r? 3, 193 Let n(c) = -63*c**3 - c**2 - 5*c - 5. List the prime factors of n(-2). 5, 101 What are the prime factors of -6 + 0 + (3487 - 1)? 2, 3, 5, 29 Let j = 704 - 71. What are the prime factors of j? 3, 211 Let n(q) = q**3 + 2*q - 1. Let z be 7/((-14)/6)*-1. List the prime factors of n(z). 2 Let q(f) = 2*f + 2. Let g be q(-2). List the prime factors of (11 - 10)*(-132)/g. 2, 3, 11 Let j be (132/(-36))/((-2)/12). Let s be (j - 9) + 1 + -4. Let l = 0 + s. What are the prime factors of l? 2, 5 Suppose 2*t + 2*t = 72. Let d = t - -11. What are the prime factors of d? 29 Let b(v) be the first derivative of -v**4/4 - 3*v**2/2 + 2*v + 17. List the prime factors of b(-4). 2, 3, 13 Suppose 5*p - 2*p + 3 = 0. Let c be p*1/2*-22. Let n = c + -8. What are the prime factors of n? 3 Let o(w) = 171*w + 596. What are the prime factors of o(15)? 29, 109 Let z = -2387 + 6214. What are the prime factors of z? 43, 89 Suppose -5*k + 10 = 0, 3*g + 4*k = 7*k + 1254. What are the prime factors of g? 2, 3, 5, 7 Let b = 702 - 311. List the prime factors of b. 17, 23 Let m(a) = -2*a**3 - 4*a**2 - 3*a + 2. Let p be m(-2). Suppose -z - z = -p. Suppose s - 36 = -o + 10, 20 = -z*s. What are the prime factors of o? 3, 17 Let d = 139 - 145. Let k(q) = 7*q + 2 + 2*q**2 - 6 + 1. List the prime factors of k(d). 3 Suppose 0 = 10*y - 14*y + 2744. What are the prime factors of y? 2, 7 Let f(l) = 21*l - 3. What are the prime factors of f(2)? 3, 13 Let j be (-30)/6*(-6)/5. Suppose 27 = 4*o + 3*h, -j*h + h + 19 = -2*o. Suppose 0*w + 29 = 3*w - 4*f, -o*w = 5*f - 11. List the prime factors of w. 7 Let q(p) = -p**2 + 16*p + 4. Let h be q(16). Suppose k + 2*j + 510 = 5*k, -h*k = 2*j - 498. List the prime factors of k. 2, 3, 7 Let f(y) = 69*y - 115. List the prime factors of f(15). 2, 5, 23 Let r(b) = -102*b - 2. Let l be r(2). Let u = -121 - l. List the prime factors of u. 5, 17 Let z(c) = -2*c - 7. Let n be z(-6). Let p(y) = y**2 + 25. Let j be p(5). Suppose n*b - 120 = -5*m, j = 4*b - 2*b + 4*m. What are the prime factors of b? 23 Suppose -4*n - n + 480 = 0. What are the prime factors of (4 + -5)/((-2)/n)? 2, 3 Let w = -3215 + 6060. What are the prime factors of w? 5, 569 Suppose -2*o = -d - 4*d + 193, 0 = 3*d + 2*o - 119. List the prime factors of d. 3, 13 Let y be ((-66)/12)/(-11)*4*2. What are the prime factors of 94 - (8/y - 5 - -3)? 2, 47 Let x(c) = -c**3 + 4*c**2 + 5*c + 3. Let v be x(5). Suppose -s - s = 4*s. Suppose v*y + g - 19 = 0, 5*y - 4*g + g - 27 = s. What are the prime factors of y? 2, 3 Let h = 972 + -688. List the prime factors of h. 2, 71 Suppose 60 + 68 = 4*s. Let d be 117/((6/s)/(-1)). List the prime factors of d/(-10) - (-6)/(-15). 2, 31 Let l(v) = 41*v**2 - 67*v + 3. What are the prime factors of l(-9)? 3, 7, 11, 17 Suppose 3*u = 3*b - 9, 5*u = -5*b + 24 + 1. Let d be 70/(-4)*168/(-105). What are the prime factors of (-9)/(-12)*d/u? 3, 7 Let w(t) = t**2 + 4*t. Let l be w(-4). Suppose i - 73 - 30 = l. List the prime factors of i. 103 Let q(g) = -17*g + 247. List the prime factors of q(-12). 11, 41 List the prime factors of (-302)/(-10)*(14 - (-11)/1). 5, 151 Suppose -4*x + 8*x = 3*p + 3273, 3*p = x - 816. What are the prime factors of x? 3, 7, 13 Let x = -152 - -433. What are the prime factors of x? 281 Suppose -o = -5*t + 15, 4*t + 0*o - 3*o = 1. Suppose 4*r = -4, -4 = 4*b - r - 1. What are the prime factors of (0 + b)/(t/(-92))? 23 Let b = -73 + 73. Suppose -5*v + 4*u - 3*u = -214, 4*u - 4 = b. List the prime factors of v. 43 Suppose 5*y - i - 1671 = 2*i, -4*i + 1657 = 5*y. List the prime factors of y. 3, 37 Let o(j) = j**2 - 5*j + 1. Let t be o(7). Suppose -3*s + 3*c + 9 = 0, -2*c - t = -4*s - 3. Suppose 3*p = n + 3 + s, 28 = 4*n + p. List the prime factors of n. 2, 3 Suppose -8*c = -5*c. Let m(v) = v**3 + 5*v**2 + 3*v + 20. Let s(i) = i**3 + 4*i**2 + 2*i + 21. Let q(t) = -3*m(t) + 4*s(t). List the prime factors of q(c). 2, 3 Let r be 3 - -1 - (-3 - 0). Let q = -5 + r. Suppose 3 = -d, q*x - 4*d - 44 = -0*d. List the prime factors of x. 2 Suppose -4*k = x - 202, 2*k - 245 = -3*k - 5*x. Let t = k + -13. Suppose -t = -4*z + 78. List the prime factors of z. 29 Suppose -4*m - 5*y - 13 - 7 = 0, 3*m + 4*y + 16 = 0. Suppose 3*h + h = m. Suppose -2*w = -h*w - 22. List the prime factors of w. 11 Let m(y) = 69*y - 38. List the prime factors of m(10). 2, 163 Suppose -4*r + 0 = -144. Let o be (2/(-5))/(7/(-35)). Let b = r - o. What are the prime factors of b? 2, 17 Let p(f) = -42*f - 8. Let g(z) = 43*z + 6. Let o(m) = -2*g(m) - 3*p(m). List the prime factors of o(2). 2, 23 Let y(x) = x**3 - x**2 + x. Let g(n) = -4*n**3 + 4*n**2 - 4*n + 2. Let b(f) = g(f) + 3*y(f). Let w be b(0). Suppose -w*k + 47 = 9. List the prime factors of k. 19 Suppose -3514*i + 3513*i + 3784 = 0. What are the prime factors of i? 2, 11, 43 What are the prime factors of -18 + 299 - (5 + -3)? 3, 31 Suppose 4*l = -5 - 3, 4*l + 8 = 5*m. Suppose -4*g - 4 = 2*c, 0 = -c + 4*g + 4 - m. Suppose c = d - 1 - 23. List the prime factors of d. 2, 3 Suppose 636*n = 626*n + 7050. List the prime factors of n. 3, 5, 47 Suppose 2*k = -1 + 405. Suppose 5*j = k + 373. List the prime factors of j. 5, 23 Suppose 16*a - 20*a + 896 = 0. Suppose -a = -5*g + 276. List the prime factors of g. 2, 5 Suppose 35*y = 40*y - 4675. Suppose 857 + y = 8*p. List the prime factors of p. 2, 7 Let a be ((-60)/(-16) + -3)/((-3)/(-12)). What are the prime factors of (a/9 + 1)/(12/2502)? 2, 139 Let k = -79 - -123. Suppose 0 = -y - 2*c + k, 0 = -y + 2*y - c - 56. Suppose 3*s - y = 59. What are the prime factors of s? 37 Let v = -12 - -18. Suppose -v*k + 3*d = -k - 16, -4*d - 16 = -4*k. What are the prime factors of (-8)/(-2) + k/1? 2, 3 Let l = 27 + -11. Let u be 1/(2/l) + 0. Suppose 6*t = 5*t + u. List the prime factors of t. 2 Suppose 6*y - y = 0. Let k = 469 - 291. Suppose y = -5*x + i + i + 216, 0 = -4*x - i + k. List the prime factors of x. 2, 11 Let x(t) = t**3 + 9*t**2 - 2*t + 7. Suppose y + 4*y + 45 = 0. List the prime factors of x(y). 5
{ "pile_set_name": "DM Mathematics" }
-7 - -30. What is the remainder when p is divided by 8? 7 Let n = -53 + 69. Calculate the remainder when 141 is divided by n. 13 Let w be -1*1*(-5 - -5). Suppose -2*x + 7 = -x. Calculate the remainder when (-60)/(-5) + w/1 is divided by x. 5 Calculate the remainder when 36 is divided by -4 + 16 + 3/3. 10 Let u = -2 - -4. Let v = 13 + u. Let x = 2 - -41. Calculate the remainder when x is divided by v. 13 Let g = 5 + -1. Calculate the remainder when (4 - 90/35)*(8 + -1) is divided by g. 2 Let j(i) = 2*i + 20. Let f = -54 - -26. Let r = f - -39. Calculate the remainder when j(0) is divided by r. 9 Suppose 3*w + 5 = 5*y + 16, w = -2*y. Let r = y - -18. Suppose -38 = -4*h - 2*c, 2*h + 3*c + c - 22 = 0. Calculate the remainder when r is divided by h. 8 Suppose 5*b - 30 = 2*b. Let n be 1/(-2) + 167/2. Let l = -55 + n. Calculate the remainder when l is divided by b. 8 Let k = -68 - -123. Let w(a) = 20*a**2 - 1. Let i(x) = x - 5. Let u be i(4). Calculate the remainder when k is divided by w(u). 17 Let y = 21 - 13. Suppose y + 13 = 3*z. What is the remainder when 19 is divided by z? 5 Let m(b) = 20*b**2 - 4*b + 5. Let y = 15 + -7. What is the remainder when m(1) is divided by y? 5 Let d(a) = -a**3 + 7*a**2 - 4*a - 8. Let l be d(6). Let h = 6 - l. What is the remainder when 5 is divided by h? 1 Let x(n) = n**3 + 8*n**2 - 25*n - 13. Let m(y) = y**2 - 4*y + 1. Calculate the remainder when x(-10) is divided by m(6). 11 Suppose -5*r - 13 - 8 = -k, 3*k - 4*r - 118 = 0. Let j = k - 30. Calculate the remainder when 46 is divided by j. 14 Suppose 0 = -5*a + 5*m + 23 + 42, 2 = -2*a - 5*m. Let l = a - 4. What is the remainder when l + -4 - 22*-1 is divided by 12? 11 Let g = 81 - 43. Let o = -4 - -14. What is the remainder when g is divided by o? 8 Suppose -68 = -5*t + 4*c, t = -t - 4*c + 16. Calculate the remainder when 31 is divided by t. 7 Suppose -13*n - 7 = -14*n. What is the remainder when n is divided by (-1)/(2/(-6)*1)? 1 Let v(r) = r**2 - 6*r - 8. Calculate the remainder when v(-7) is divided by 17. 15 Suppose l + 4*c - 36 = 0, -5*c - 85 = 2*l - 4*l. Suppose -a = -4*m - 5*a + l, -5*m + 40 = 3*a. What is the remainder when 13 is divided by m? 3 Let x be 1 + -1 + 122 - -2. Let z be (-1)/(-3) + x/(-12). What is the remainder when 205/7 + z/35 is divided by 10? 9 Suppose 3*k + 66 = -219. Let r = k + 177. Calculate the remainder when r is divided by 28. 26 What is the remainder when (-93 + -15)*(-16)/6 is divided by 29? 27 Let p = 13 + -5. Suppose r + r + 4 = 0. Calculate the remainder when ((-4)/(-6))/(r/(-42)) is divided by p. 6 Let g(l) = 6*l - 1. Let f be g(1). Let v = 5 + f. Calculate the remainder when v is divided by 6. 4 Let i(f) = 3*f - 10. Calculate the remainder when 50 is divided by i(9). 16 Suppose 4*c + 2*r + 304 = 6*r, -c - 4*r = 81. Let d = c + 109. Calculate the remainder when d is divided by 12. 8 Let k(d) = -d**3 + 7*d**2 + 8*d + 9. Suppose -3*u = -2*u - 2. Let r(o) = 3*o + 2. Let q be r(u). What is the remainder when k(q) is divided by 6? 3 Suppose 2*s - 15 = -v, -4*v - s = -2*s - 42. Let h = -1 + 1. Suppose 0 = -0*l - 2*l - j + 36, -l + 3*j + 32 = h. Calculate the remainder when l is divided by v. 9 Suppose 3*w + w - 16 = 0. Let z = 23 - w. Calculate the remainder when z is divided by (-38)/(-4) + 2/4. 9 Let n(a) = a**3 - 15*a**2 + 18*a - 23. What is the remainder when n(14) is divided by 10? 3 Suppose -26 = t - 5*g - 4, 5*g - 20 = 0. Calculate the remainder when 61 is divided by t/8 + (-130)/(-8). 13 Suppose 22*d - 24*d + 106 = 0. Calculate the remainder when d is divided by 14. 11 Let k(c) = c**2 + 5*c + 3. Let l be k(5). Let f = l + -38. What is the remainder when 13 is divided by 2/(-3)*f/(-2)? 3 Let t be (-2*1)/(1/(-10)). Suppose t = l + 3. What is the remainder when l is divided by 9? 8 Let l(y) = -5 + 7 + 7 + y - 3. What is the remainder when l(10) is divided by 9? 7 Calculate the remainder when (-5 - -49) + 5 + 1 is divided by 14. 8 Let s be (3 - 0) + -5 - -6. Suppose -2*c - 5*y - s = c, 2*c + 32 = 4*y. Let q = -7 - c. What is the remainder when 3 is divided by q? 0 Let n(p) = -5*p + 1. Suppose 2*r + 7 = 25. Calculate the remainder when n(-5) is divided by r. 8 Suppose -2*d - m = -0 - 62, 5*d + 5*m = 160. Calculate the remainder when 59 is divided by d. 29 Let j(t) = t - 5. Let x be j(5). Suppose 5*d + 2 - 77 = x. Calculate the remainder when (-1)/5 - (-138)/d is divided by 3. 0 Suppose 5 = r - 29. Calculate the remainder when r is divided by 18. 16 Calculate the remainder when 10 is divided by (-2 + -2 - -10)/2. 1 Let a = 31 - 12. What is the remainder when a is divided by 11? 8 Suppose -f + 5*f - 92 = 0. Suppose -f = -2*h + 15. Let w = -1 - -6. Calculate the remainder when h is divided by w. 4 Let x(o) = -69*o**3 - 2*o - 1. Calculate the remainder when x(-1) is divided by 8*15/((-5)/(-1)). 22 Suppose -22 = -4*l + 3*g, -2*l = -l + 2*g. Let y = l - 1. Suppose 2*z = 4*z - 4*a - 16, -y*z + 3*a = -24. What is the remainder when 15 is divided by z? 7 Suppose -2 - 13 = -3*u. What is the remainder when 0/8 + 11 + -2 is divided by u? 4 Let r = 153 - 87. What is the remainder when r is divided by ((-3)/((-6)/(-46)))/(-1)? 20 Suppose 0 = 4*f + 3*j - 22, 0*j - 12 = -5*f + 4*j. Suppose -4*x = -5*h - 8, 2*x + 2*h = f*x - 6. Calculate the remainder when 13 is divided by x. 6 Let d(k) = -3*k + 55. Suppose -2*c + 21 = c. What is the remainder when d(15) is divided by c? 3 Let w = 10 - -9. Suppose -5*r + 2*d = -29, r + 3*d - 13 = d. What is the remainder when w is divided by r? 5 Let p be (1/2)/(5/70). Suppose 6*a - p*a + 51 = 0. What is the remainder when a is divided by 13? 12 Let y(w) = w**2 - 12*w + 17. Let v(j) = -j**3 - 5*j**2 - j + 7. What is the remainder when v(-6) is divided by y(12)? 15 Let m = -2 + 30. Calculate the remainder when 139 is divided by m. 27 Let g(d) = 6*d - 1. Let y be g(3). Let z = y + -9. Suppose -x = -2*u + 88, 2*x + 2*x + z = 0. Calculate the remainder when u is divided by 22. 21 Let z(j) = j**2 - 9. Let f be z(0). Let v = f + 36. Calculate the remainder when v is divided by 10. 7 Let h(t) = -t**2 + 19*t - 6. Calculate the remainder when h(8) is divided by 21. 19 Let x(z) be the third derivative of -z**5/60 + z**4/3 + 3*z**2. Suppose 4*h = 2*h + 68. What is the remainder when h is divided by x(6)? 10 Let u = 7 - -1. Suppose -4*y + 116 = 96. What is the remainder when u is divided by y? 3 Suppose w = -2*t + 26, t + 4*w + 0 + 1 = 0. Calculate the remainder when t is divided by 7. 1 Let c be (15/(-2))/5*-8. Suppose 2*t - 17 = 2*m + t, m - 4*t + c = 0. Calculate the remainder when 20 is divided by (m + 10)/(2/11). 9 Let f = -29 + 38. Let g be ((-10)/(-3))/(4/6). Suppose -5*s = -g*l - 130, -s - 4*l = l - 20. What is the remainder when s is divided by f? 7 Let o(t) = -t**3 + 7*t**2 + 6*t - 16. What is the remainder when o(7) is divided by 7? 5 Suppose 7 = 2*u - 9. Suppose 0 = 5*m - 12 - u. Let v(j) = -2*j - 6. What is the remainder when m is divided by v(-4)? 0 Let d = -66 + 189. Calculate the remainder when d is divided by 18. 15 Suppose -2*n = m - 5*n - 65, -3*m + 4*n = -185. Let p = m + -33. Suppose 4*a - 3*a = -3*j + 29, 2*j = 2*a - p. Calculate the remainder when a is divided by 6. 5 Let y be 3*(0 - (-2 + 1)). Suppose f + y*f = -3*h + 31, -2*f - 16 = -2*h. What is the remainder when 15 is divided by h? 6 Let y(o) = o + 2. Let g be y(8). Let l(b) = b + 2*b - 2*b + g - 2*b. Calculate the remainder when l(8) is divided by 1. 0 Let c(d) be the first derivative of -d**4/4 + 7*d**3/3 - 3*d**2/2 + 8*d - 1. Let i(s) = 2*s + 2. Let b be i(2). What is the remainder when c(b) is divided by 9? 8 Suppose -w + 4 - 7 = 0, 2*a - 86 = 2*w. Suppose 0*c + a = 2*c. Calculate the remainder when c is divided by 7. 6 Suppose 3*h + 212 - 52 = 5*o, -2*h = -4*o + 128. Calculate the remainder when o is divided by 7. 4 What is the remainder when 18 is divided by (3/(-2) + -1)*-2? 3 Let j = 6 - 3. Suppose -44 = -4*a - 8. Calculate the remainder when a is divided by j. 0 What is the remainder when 50 is divided by (3/(-6))/(1/(-26))? 11 Suppose 32 = 4*s - 4. Suppose 3 = u, 277 - 91 = -4*d - 2*u. Let n = d - -74. Calculate the remainder when n is divided by s. 8 Suppose -760 = -5*h - 130. Calculate the remainder when h is divided by 26. 22 Let y
{ "pile_set_name": "DM Mathematics" }
Let d(t) = 4*p(t) + 33*y(t). Give d(x(b)). -27*b**2 Let b(i) = -4*i - 5*i + 8 + 3*i + 4*i. Let o(c) = c - 3. Let j(w) = 3*b(w) + 8*o(w). Let p(r) = 2*r**2 - r**2 - 3*r**2. What is p(j(u))? -8*u**2 Let o(b) = b**3 + 2*b**2 - 8*b + 2. Let j be o(-4). Let v(m) be the second derivative of 4*m + 0*m**j + 0 + 1/3*m**3. Let i(h) = 4*h**2. Determine i(v(t)). 16*t**2 Let y(r) = 3*r**2 - 8*r - 4. Let m(c) = 5*c**2 - 14*c - 7. Let g(f) = -4*m(f) + 7*y(f). Let h(s) = -s**2 + 6 - 6. What is g(h(o))? o**4 Let n(u) be the second derivative of -u**4/3 + 2*u. Let b(s) = -s + 7. Let c(q) = -1. Let l(r) = -2*b(r) - 14*c(r). Calculate l(n(z)). -8*z**2 Let a(i) = -4*i + i + i. Let p(h) = 2*h - 6. Let v be p(4). Let r(w) = -3*w**2 + w**v + 3*w**2. What is r(a(y))? 4*y**2 Let q(o) = -o. Let m(n) = 20*n. Let k(s) = -m(s) - 24*q(s). Let j(g) = 2*g. What is k(j(d))? 8*d Let g(y) = y. Let w(s) = -18*s. Let a(h) be the second derivative of -3*h**3/2 - 5*h. Let i(b) = -14*a(b) + 6*w(b). Give g(i(n)). 18*n Let n(f) = -73*f**2. Let p(x) = -3*x**2. Calculate n(p(c)). -657*c**4 Let m(k) = 36*k. Let s(t) be the second derivative of -t**4/12 + 31*t. Give m(s(f)). -36*f**2 Let g(v) = 13*v**2. Let q(d) = -13*d. Determine g(q(j)). 2197*j**2 Let l(o) be the third derivative of -o**5/5 - 10*o**2. Let k(x) = x. Give l(k(m)). -12*m**2 Let b(y) be the first derivative of -5*y**3 - 3. Let i(j) = -10*j**2 + 12*j - 12. Let g(d) = -4*d**2 + 5*d - 5. Let q(z) = -12*g(z) + 5*i(z). Give q(b(f)). -450*f**4 Let k(o) = -21*o**2 - 8*o. Let l(v) = -v. Calculate k(l(u)). -21*u**2 + 8*u Let p be -2*(-2)/(-2)*-1. Let o(x) = -2*x - 4*x + p*x + 3*x. Let b(f) = 5*f. What is b(o(n))? -5*n Let m(q) = -2*q**2. Let d(s) = -364*s**2. What is m(d(v))? -264992*v**4 Let j(w) = 6*w**2 + 4*w. Let q(p) = 76*p. Give j(q(y)). 34656*y**2 + 304*y Let v(f) = -4*f + 4*f + 4*f. Let t(r) = 2*r**2. Give v(t(g)). 8*g**2 Let f(k) = -2*k. Let x(r) = -2*r**2 - 2*r. Let p(s) = -2*s**2 - 3*s. Let t = -1 - 1. Let w(y) = t*p(y) + 3*x(y). Determine f(w(i)). 4*i**2 Let o(j) = 2208*j. Let n(p) = 4*p**2. Determine o(n(a)). 8832*a**2 Let w(i) be the second derivative of -5*i**4/12 + 33*i. Let x(s) = 11*s. What is w(x(y))? -605*y**2 Let i(l) = 3*l + 0*l + 2*l - 3*l. Let y(u) = 5*u**2. Give y(i(n)). 20*n**2 Let l be 20/(-40)*(0 - 1). Let h(w) be the first derivative of 0*w - 1 + l*w**2. Let t(r) = r**2. Give h(t(d)). d**2 Let v(z) be the second derivative of -z**4/2 - 7*z. Let x(u) = 0*u - u + 3*u. Calculate x(v(r)). -12*r**2 Let y(o) = -o**2. Let w(z) = z - 2. Let i(q) = -4*q + 9. Let c(p) = 2*i(p) + 9*w(p). Determine c(y(j)). -j**2 Let g(c) = -774*c**2. Let x(v) = 2*v**2. Calculate g(x(z)). -3096*z**4 Let o(z) be the second derivative of -5*z**3/6 - 11*z. Let b(m) be the second derivative of -m**4/12 - m. Determine b(o(v)). -25*v**2 Let t(l) = -l. Let y(d) = -49*d. Let k(p) = 244*p - 1. Let j(q) = 2*k(q) + 11*y(q). Give j(t(z)). 51*z - 2 Let n(v) = 3 + 3*v**2 - 3. Let b(p) be the first derivative of -3 + 0*p + 0*p**2 - 2/3*p**3. Give b(n(x)). -18*x**4 Let d(p) = 14*p. Let g(j) = 26*j. What is g(d(f))? 364*f Let l(z) = 6*z**2. Suppose 42 = 5*w + 2*h, 0 = -4*h + 3 + 1. Let t(f) = w*f + f - 7*f + 0*f. What is l(t(a))? 24*a**2 Let o(v) = 6*v**2 + 4*v. Let s(c) = -7*c**2 - 5*c. Let m(q) = 5*o(q) + 4*s(q). Let i(j) = 3*j**2 - 13*j**2 + 0*j**2 + 6*j**2. Calculate i(m(t)). -16*t**4 Let r(j) = 453*j. Let f(p) = 15*p**2. Determine r(f(c)). 6795*c**2 Let q(o) = 8*o**2. Let f(j) = 1625*j. What is f(q(b))? 13000*b**2 Let l(b) = 3*b - 8. Let m be l(4). Let r(i) be the third derivative of 0*i + 0*i**3 - 1/60*i**5 + i**2 + 0 + 0*i**m. Let p(a) = -2*a. What is p(r(n))? 2*n**2 Let r(v) be the third derivative of -v**5/30 + 4*v**2. Let f(z) = 8*z + 3*z - 6*z. What is r(f(m))? -50*m**2 Let w(h) = -3*h + 2. Let v(a) = -3*a + 3. Let x be (-3)/6 - 10/(-4). Let p(q) = x*v(q) - 3*w(q). Let g(j) = -2*j. Give g(p(u)). -6*u Let c(v) = 58*v. Let f(y) = 8*y. Calculate f(c(j)). 464*j Let u(s) = 2*s**2 - 2. Let t(l) = l**2 - l - 2*l + 3*l. Calculate t(u(n)). 4*n**4 - 8*n**2 + 4 Let m(r) = r**2 - 4*r. Let v(b) be the second derivative of b**4/6 - 32*b. Calculate m(v(p)). 4*p**4 - 8*p**2 Let v(n) = -3*n**2. Let l(o) = -2*o + 143. Determine l(v(y)). 6*y**2 + 143 Let j(n) = 12*n - 4*n - 7*n. Let v(c) = -2*c**2. Calculate v(j(s)). -2*s**2 Let l(o) = 12*o**2. Let z(v) = -v**2 - 3. Let h(u) be the third derivative of u**5/60 + 2*u**3/3 + u**2. Let a(n) = 3*h(n) + 4*z(n). What is l(a(f))? 12*f**4 Let l(t) = -3*t**2. Let i(s) = 174*s - 10. What is l(i(w))? -90828*w**2 + 10440*w - 300 Let m(p) = -2*p + 125. Let z(a) = a**2. Determine z(m(j)). 4*j**2 - 500*j + 15625 Let t(f) = -11*f + 4. Let o(a) = -3*a**2. What is o(t(l))? -363*l**2 + 264*l - 48 Let g(f) = -f. Let p(s) = 1133*s**2 + 1. Give p(g(r)). 1133*r**2 + 1 Let i(k) = -1 + 2*k - 7*k - 2 + 0*k. Let v(y) = 56*y + 32. Let u(t) = 32*i(t) + 3*v(t). Let o(w) = -w**2. Determine u(o(z)). -8*z**2 Let d(w) = -1. Let b(m) = -2. Let t(i) = b(i) - d(i). Let v = -1 - -2. Let z(h) = -h + 6. Let g(p) = v*z(p) + 6*t(p). Let u(j) = 2*j**2. What is g(u(s))? -2*s**2 Let o(d) be the second derivative of -d**4/12 + d**3/6 + d**2 - 2*d. Let j be o(0). Let k(v) = 4 - 2*v**j - 4. Let n(r) = -3*r. Calculate k(n(t)). -18*t**2 Let d(f) = -f**2. Let w(l) = -17237*l**2. Calculate w(d(h)). -17237*h**4 Let h(b) = 149*b. Let i(y) = 3*y**2. Determine i(h(p)). 66603*p**2 Let t(h) = -3*h. Let q(p) = 14*p**2 - 4*p**2 - 13*p**2. Give t(q(y)). 9*y**2 Let s(c) = -c**2. Suppose -k = 2*k. Let b(z) = -2*z + k*z - z. Determine s(b(l)). -9*l**2 Let g(v) = v + 9. Let p be g(-5). Let j(s) = -p*s + 6*s + s. Let b(z) = 2*z. Determine j(b(x)). 6*x Let n(d) = -2*d - 619. Let q(w) = 3*w**2. What is n(q(y))? -6*y**2 - 619 Let k(l) = -34*l. Let y(u) be the second derivative of u**4/6 - 6*u. Give y(k(i)). 2312*i**2 Let a(d) be the second derivative of -d**4/12 + 9*d. Let i(s) be the third derivative of -s**5/10 + s**2. What is i(a(y))? -6*y**4 Let u(v) = v. Let h(n) = -5*n. Let j(z) = h(z) + 4*u(z). Let m(b) = -8*b. Determine m(j(l)). 8*l Let t(f) be the first derivative of -f**4/12 - f - 2. Let j(s) be the first derivative of t(s). Let q(o) = -3*o**2. Determine j(q(g)). -9*g**4 Let l(z) = z. Let m(i) = -7155*i**2 + 2. Calculate l(m(h)). -7155*h**2 + 2 Let s(t) = 12*t**2. Let h(x) = 127*x**2. Calculate s(h(d)). 193548*d**4 Suppose 0 = 2*a - 5*a + 9. Let t(v) = -v**2 + 1. Let k(i) = i**2 + 3. Let s(m) = a*t(m) - k(m). Let j(c) = 2*c**2 - 3 + 3. Calculate s(j(b)). -16*b**4 Let r(h) = 2*h. Suppose -5*k + 3*i + 4 = 2*i, 0 = 5*k + 2*i - 7. Let q be (4 - -1)*(2 - k). Let z(b) = -b - 2*b + q*b. Determine r(z(g)). 4*g Let g(t) be the second derivative of t**4/12 + 22*t**3/3 + 17*t. Let q(h) = -2*h**2. Give g(q(l)). 4*l**4 - 88*l**2 Let y(m) be the first derivative of -m**3/3 - 32. Let d(p) = -21*p. What is d(y(r))? 21*r**2 Let v(z) = 3*z**2 - 3*z + 3. Let f(u) = u - 1. Let x(r) = -3*f(r) - v(r). Suppose -3*h + 9 = 3. Let l(d) = -d + d + h*d + 0*d. What is x(l(j))? -12*j**2 Let u be -2 + (-1 + 3 - 0). Let k(h) be the second derivative of -1/6*h**4 + u + 0*h**2 + 2*h + 0*h**3. Let p(s) = 4*s**2. Determine k(p(b)). -32*b**4 Let f(b) be the second derivative of 0*b**2 + 0 - 1/6*b**3 - 3*b. Let u(q) = -4*q**2. Give f(u(x)). 4*x**2 Let f(v) = 20*v. Let u(r) = 23*r. Give f(u(h)). 460*h Let d(t) = -3*t. Suppose -f + 3*f = 0. Suppose 2*r - r - 5 = f. Let i(v) = v - r*v + 2*v. Calculate d(i(q)). 6*q Let k(a) = -2*a**2. Let o(v) = -111*v + 52*v + 55*v. What is o(k(c))? 8*c**2 Let w(d) = 2*d. Let t(u) be the second derivative of 7*u**3/6 - 7*u. Calculate t(w(s)). 14*s Let y(o) = 2*o**2. Let m(g) be the third derivative of -g**5/6 + 12*g**2. Give m(y(r)). -40*r**4 Let a(t) = 4*t**2 + 5*t. Let u(w) = 2*w**2 + 2*w. Let r(f) = -2*a(f) + 5*u(f). Let x = -2 + 4. Let o(i) = 2*i - i - x*i. Give o(r(y)). -2*y**2 Let h(a) be the third derivative of -a**4/24 - a**2. Let q(n) = 10 - 2*n - 10. Calculate h(q(f)). 2*f Let z(q) = -q**3 - 6*q**2 - 7*q - 5. Let u be z(-5). Let h(l) = -l + 7. Let r be h(u). Let a(i) = 6 - 6 - r*i. Let y(w) = 2*w**2. Determine a(y(c)). -4*c**2 Let i(p) be the first derivative of p**3 - 1. Let c(l) be the first derivative of -3 - 1/2*l**2 + 0*l. Calculate c(i(j)). -3*j**2 Let
{ "pile_set_name": "DM Mathematics" }
961? 1970 What is the next term in -8, -59, -144, -263? -416 What is the next term in 97, 179, 249, 301, 329, 327? 289 What comes next: -7490, -14983, -22476? -29969 What is the next term in -735, -1478, -2223, -2970, -3719, -4470? -5223 What is the next term in -3, 7, 29, 63? 109 What comes next: 1754, 1745, 1736, 1727, 1718? 1709 What is the next term in -20, -93, -214, -383? -600 What is next in 306, 604, 900, 1194? 1486 What is next in 107, 109, 111? 113 What is next in 902, 1809, 2716, 3623? 4530 What is next in 82, 122, 164, 208, 254? 302 What is the next term in -73, -115, -169, -241, -337, -463, -625, -829? -1081 What is next in 521, 2097, 4723, 8399, 13125, 18901? 25727 What is the next term in 94, 91, 88, 85, 82, 79? 76 What is the next term in 7, -308, -841, -1598, -2585, -3808, -5273? -6986 What is the next term in -2001, -2003, -2005, -2007, -2009, -2011? -2013 What is the next term in 3, -15, -45, -87? -141 What is the next term in -194, -196, -190, -170, -130, -64, 34? 170 What comes next: -12, -4, 28, 96, 212? 388 What comes next: -287, -563, -841, -1121, -1403, -1687? -1973 What is next in -43, -92, -131, -154, -155? -128 What comes next: 137, 276, 415, 554, 693, 832? 971 What is next in 5, -11, -37, -73, -119? -175 What is the next term in -6747, -6746, -6745, -6744? -6743 What is the next term in 7, 16, 27, 40, 55, 72, 91? 112 What is the next term in -158, -275, -396, -521, -650, -783? -920 What is next in 97, 98, 99, 100? 101 What is next in -16, -34, -56, -76, -88? -86 What is the next term in 5, 7, 11, 17? 25 What comes next: -7174, -14350, -21528, -28708, -35890, -43074? -50260 What is the next term in 53, 80, 105, 128, 149, 168, 185? 200 What is next in -1530, -1534, -1540, -1548, -1558, -1570, -1584? -1600 What comes next: -30, -16, 2, 24? 50 What comes next: -111, -215, -317, -417, -515? -611 What is next in -854, -877, -946, -1085, -1318, -1669, -2162? -2821 What comes next: 108, 427, 964, 1725, 2716, 3943, 5412? 7129 What is the next term in 260, 217, 174, 131? 88 What is the next term in -52, -94, -178, -310, -496? -742 What is the next term in -1, -16, -47, -94, -157, -236, -331? -442 What comes next: -121, -468, -1047, -1858, -2901, -4176? -5683 What is next in 597, 1210, 1825, 2442, 3061, 3682, 4305? 4930 What is next in 654, 1310, 1966, 2622, 3278? 3934 What comes next: -2156, -2164, -2184, -2222, -2284, -2376, -2504, -2674? -2892 What comes next: -35093, -35091, -35087, -35081, -35073? -35063 What is the next term in 20, 54, 116, 206? 324 What comes next: 4, 16, 42, 88, 160? 264 What is next in 178, 176, 174, 172, 170? 168 What comes next: 27, 173, 425, 789, 1271, 1877, 2613? 3485 What is the next term in -21, -41, -87, -171, -305, -501, -771? -1127 What comes next: -32, -72, -116, -164? -216 What is the next term in 54, 52, 48, 42? 34 What is the next term in 67, 66, 65, 64, 63, 62? 61 What comes next: 8, 43, 94, 155, 220? 283 What comes next: 17, -9, -69, -175, -339, -573, -889? -1299 What is next in 135, 1114, 3773, 8952, 17491, 30230, 48009? 71668 What is next in -4687, -9370, -14053, -18736? -23419 What comes next: -2296, -2300, -2304? -2308 What comes next: -25, -40, -65, -106, -169, -260, -385, -550? -761 What is next in 454, 902, 1350, 1798? 2246 What is the next term in -20, -24, -30, -38? -48 What is the next term in 18, 31, 44, 57, 70, 83? 96 What comes next: -182, -361, -540, -719? -898 What comes next: 11, 36, 73, 128, 207? 316 What is next in -163, -161, -163, -169, -179? -193 What comes next: 2, -30, -104, -238, -450, -758, -1180, -1734? -2438 What comes next: -2217, -2219, -2221, -2223, -2225, -2227? -2229 What comes next: 2, 20, 66, 152, 290? 492 What is the next term in -9, 6, 31, 66, 111? 166 What is the next term in -681, -1372, -2063, -2754, -3445, -4136? -4827 What is next in -77, -48, -19, 10, 39? 68 What is the next term in 21, 23, 27, 33, 41? 51 What comes next: -117, -245, -373, -501, -629? -757 What is the next term in -287, -289, -291, -293, -295? -297 What is the next term in 2, 9, 4, -19, -66, -143, -256, -411? -614 What is next in 354, 332, 310, 288, 266, 244? 222 What is next in -153, -579, -1291, -2289, -3573, -5143, -6999? -9141 What is next in -70, -67, -64, -61? -58 What comes next: 7, 27, 51, 79? 111 What comes next: 26, 37, 64, 113, 190, 301? 452 What is next in -10, -30, -58, -94, -138, -190, -250? -318 What comes next: 150, 127, 116, 123, 154, 215, 312? 451 What comes next: 2, 11, 16, 11, -10, -53, -124? -229 What is next in 9, 45, 109, 207, 345? 529 What is the next term in 109, 87, 65, 43? 21 What is next in 2498, 2494, 2488, 2480, 2470, 2458? 2444 What is next in 11, 22, 33, 44, 55, 66? 77 What comes next: 29, 34, 43, 56, 73, 94, 119? 148 What is next in -30, -85, -180, -321, -514, -765? -1080 What is next in 2629, 5259, 7889? 10519 What is next in 33, 42, 59, 84? 117 What is the next term in 8, 10, 2, -22, -68, -142, -250? -398 What is the next term in -48, -55, -36, 21, 128, 297, 540, 869? 1296 What comes next: 300, 299, 298? 297 What is the next term in -5013, -10040, -15069, -20100? -25133 What is the next term in -333, -334, -335? -336 What is the next term in 1, -3, -1, 13, 45, 101? 187 What comes next: 259, 255, 241, 211, 159, 79, -35? -189 What is the next term in 251, 502, 753, 1004? 1255 What is next in -4, -10, -16, -22, -28? -34 What is the next term in -62, -125, -176, -209, -218? -197 What comes next: 13, 4, -11, -32? -59 What comes next: 160, 164, 168? 172 What is next in 4996, 4994, 4992, 4990, 4988, 4986? 4984 What comes next: 157, 289, 419, 547, 673, 797? 919 What comes next: -49, -64, -89, -130, -193? -284 What is the next term in -13981, -13980, -13979, -13978, -13977, -13976? -13975 What is the next term in -35, -174, -413, -758, -1215? -1790 What is next in 120, 264, 434, 636, 876, 1160, 1494? 1884 What is next in 547, 1093, 1639? 2185 What is the next term in 9, 15, 25, 39, 57, 79, 105? 135 What comes next: -2517, -2518, -2519, -2520, -2521? -2522 What comes next: 752, 1482, 2214, 2948, 3684? 4422 What is next in 42, 17, -10, -39? -70 What is next in -1019, -2037, -3055, -4073, -5091? -6109 What is the next term in -109, -450, -1027, -1846, -2913, -4234, -5815, -7662? -9781 What is next in -9, -18, -33, -54, -81, -114? -153 What is the next term in 53, 96, 121, 122, 93? 28 What is the next term in 133, 135, 137? 139 What is the next term in -35, -68, -115, -170, -227, -280, -323, -350? -355 What is the next term in -109, -134, -153, -160, -149, -114? -49 What comes next: 63, 124, 185, 246? 307 What is next in 25, 28, 31, 34, 37? 40 What comes next: 46, 98, 154, 214, 278? 346 What comes next: 4473, 4475, 4477, 4479? 4481 What is next in -910, -877, -816, -721, -586, -405, -172? 119 What comes next: -227, -247, -273, -299, -319, -327, -317? -283 What is the next term in 29, 5, -35, -97, -187, -311? -475 What is the next term in 13588, 13587, 13586, 13585, 13584? 13583 What is the next term in -38, -47, -44, -23, 22, 97, 208, 361? 562 What is the next term in 146, 150, 156, 164, 174? 186 What is next in 22, 52, 72, 76, 58, 12, -68, -188? -354 What is next in -60, -79, -124, -207, -340, -535? -804 What is next in 20, 41, 62, 83, 104, 125? 146 What is the next term in -43, -67, -91, -115, -139, -163? -187 What comes next: -1, 22, 45? 68 What is next in -131, -240, -335, -404, -435, -416? -335 What comes next: 79, 121, 151, 163, 151, 109? 31 What is the next term in 86, 204, 322, 440? 558 What comes next: 0, 12, 38, 84, 156, 260, 402? 588 What is next in -140, -135, -126, -113, -96? -75 What is the next term in 7, -26, -75, -140? -221 What comes next: -14407, -14408, -14409? -14410 What is next in 7475, 14951, 22427? 29903 What is the next term in -304, -598, -866, -1096, -1276, -1394, -1438, -1396? -1256 What is next in 2036, 2039, 2042, 2045? 2048 What is the next term in -1, 4, 11, 20, 31? 44 What is the next term in 18, 38, 64, 96, 134, 178? 228 What comes next: 601, 593, 585, 577, 569, 561? 553 What is next in 530, 526, 522? 518 What comes next: 1044, 1042, 1040, 1038? 1036 What is next in -19, -39, -59? -79 What is the next term in 80, 159, 238, 317, 396, 475? 554 What comes next: -889, -894, -899, -904, -909, -914? -919 What is the next t
{ "pile_set_name": "DM Mathematics" }
t + 200*r wrt c. -11570*r**3*t**2 + 98*t**2 What is the second derivative of -974*o**3 + 1626*o**2 - 5186109*o wrt o? -5844*o + 3252 What is the derivative of -9755440*s + 5450746 wrt s? -9755440 Differentiate -22*d*m**2*p - 23117909*d*m**2 + 2*m**2*p - 5*m**2 - 260*m + 7*p + 16 with respect to d. -22*m**2*p - 23117909*m**2 Find the third derivative of 5*h**6 - 13529*h**5 - 36*h**4 + 655*h**2 - 5*h - 499. 600*h**3 - 811740*h**2 - 864*h What is the third derivative of -9795*c**2*w**3 - 7585*c**2*w**2 - c*w**3 - c - 255*w**3 + 5*w**2 + 40 wrt w? -58770*c**2 - 6*c - 1530 What is the second derivative of -4884036*d**4 - 33*d**3 + 689635279*d wrt d? -58608432*d**2 - 198*d What is the second derivative of -577083330*y**2 - 354890745*y + 1? -1154166660 What is the second derivative of 741*x**4 + 11025*x**3 - 4840*x + 231 wrt x? 8892*x**2 + 66150*x Differentiate -i**3 + 570790805*i**2 + 127682197. -3*i**2 + 1141581610*i Find the third derivative of -2277805*f**4 + f**3 + f**2 + 39900*f - 2. -54667320*f + 6 What is the derivative of 15*i**4 - 23199*i**3 - 13879333 wrt i? 60*i**3 - 69597*i**2 What is the first derivative of 306275581*r**3 + 503332785? 918826743*r**2 Find the second derivative of -4717899*k**2 - 22807*k - 143 wrt k. -9435798 Find the third derivative of 20200*m**3*p**4 + 3391*m**3*p**3 - 1485*m**3*p**2 + 3401*m**3 wrt p. 484800*m**3*p + 20346*m**3 What is the second derivative of -5260908*k**3 - 32*k**2 + 187592128*k - 1 wrt k? -31565448*k - 64 Find the second derivative of -58541978*b**3 + 4146*b - 2831 wrt b. -351251868*b Differentiate 3820528*h*k*z**3 - 313*h*n*z**3 - 58*h*z**2 + 3*k*n*z - 5*n wrt k. 3820528*h*z**3 + 3*n*z Find the third derivative of -9101836*w*x**3 + 455374*w*x**2 - w*x - x**3 wrt x. -54611016*w - 6 Differentiate 153352548*l - 7935395. 153352548 What is the first derivative of -1033719*b**2 - 291417945? -2067438*b Find the third derivative of -8*a**4 - 29*a**3*z + 32142*a**3 + 22*a**2 + 3*a*z + 109*a + 2*z - 416 wrt a. -192*a - 174*z + 192852 What is the first derivative of 13264573*a**2 + 14499706? 26529146*a Find the second derivative of -128*l**3 - 438291*l**2 + 96741*l - 274. -768*l - 876582 Find the third derivative of -324954825*i*k**3 + 60711444*i*k + k**2 wrt k. -1949728950*i What is the first derivative of -8*q**2*s + 717*q**2 - 519*q + 29531*s + 56 wrt s? -8*q**2 + 29531 Find the third derivative of -151074*y**4 + y**3 - 3181*y**2 + 4*y + 23. -3625776*y + 6 What is the derivative of 100*k*s**2 - 287*k*s + 32*k - 29601*s**2 - 590*s wrt k? 100*s**2 - 287*s + 32 Find the second derivative of 4*r**4 - 230*r**3 + 2186*r**2 - 3736*r + 145. 48*r**2 - 1380*r + 4372 Differentiate 3*b**3 - 233911*b**2 + 7118545 wrt b. 9*b**2 - 467822*b Differentiate -462490*p**4 + 3*p**3 - 209*p + 333830231. -1849960*p**3 + 9*p**2 - 209 Find the second derivative of -117*p**5 + 279*p**4 - 4*p**3 + 3345005*p - 3. -2340*p**3 + 3348*p**2 - 24*p Differentiate 39*f*h*t - 155*f*h - 203040*f*t**2 - 6*f + 2*h*t**2 wrt h. 39*f*t - 155*f + 2*t**2 What is the derivative of -2614736*l**2 - 29529599 wrt l? -5229472*l What is the second derivative of -185277452*d**2 + 273052339*d wrt d? -370554904 Differentiate -1164161*r + 13683707 wrt r. -1164161 What is the derivative of -90766*y**2 + 375*y - 121145068? -181532*y + 375 Find the third derivative of 941769*d*f*w**3 - d*f*w - 2*d*w**3 + 2*d*w**2 - d + f*w**3 - 19*f + 4*w**3 + 37*w + 18 wrt w. 5650614*d*f - 12*d + 6*f + 24 What is the second derivative of -5*v**5 + 3354*v**4 + 13*v**2 - 24389*v + 1143? -100*v**3 + 40248*v**2 + 26 Find the third derivative of 38741*i**3*y**2 + 1001*i**3*y + i**2*y**2 - 46099*i**2*y + 8*i*y + 2*y**2 wrt i. 232446*y**2 + 6006*y What is the third derivative of -263790*a**3*p**3 - 9*a**3*p**2 - 21*a*p**3 + 764*a*p**2 + 1856 wrt p? -1582740*a**3 - 126*a What is the second derivative of -333*j**4 + 22*j**3 + 116*j**2 + 2861171*j - 1? -3996*j**2 + 132*j + 232 Find the second derivative of 15618853*q**4 - 36312323*q wrt q. 187426236*q**2 What is the derivative of 43446*l**3*x + 7523747*l**3 - l*x + 6*l + 57*x wrt x? 43446*l**3 - l + 57 What is the first derivative of 1608*c*v**3 - 196*c + 3*v**3 + v**2 + 5949813 wrt c? 1608*v**3 - 196 What is the third derivative of -41*o**2*t**3 - 8*o**2*t + 669708*o**2 - 324*o*t**3 - o*t**2 - 96*t**3 wrt t? -246*o**2 - 1944*o - 576 What is the second derivative of 32538445*b**2*q - 4457*b*q + 131*q - 1 wrt b? 65076890*q Find the second derivative of -1450*d**3 + 840*d**2 + 9226*d - 340 wrt d. -8700*d + 1680 Find the first derivative of -493396783*p**4*v + 28059*v + 4861 wrt p. -1973587132*p**3*v Find the third derivative of -11020069*f**3 + 781234*f**2 - 1. -66120414 Find the second derivative of 261*i**2*p**2*z**2 - i**2*p - 5*i**2*z - 308171*i*p**2*z**2 + 84*i*p**2 - 243*i*z - 42*p**2*z wrt z. 522*i**2*p**2 - 616342*i*p**2 What is the derivative of 190286*h**2 + 16*h*u**2 - 11898*u**2 + 80 wrt h? 380572*h + 16*u**2 Differentiate 2*c**3*t**3 - 370873295*c**3 + 94*t**3 + 70*t**2 - 14333*t with respect to c. 6*c**2*t**3 - 1112619885*c**2 Find the second derivative of -12121*r**5 + 2*r**4 - 383787*r - 17. -242420*r**3 + 24*r**2 What is the third derivative of -25805727*o**3 + 4367476*o**2? -154834362 Find the second derivative of 9880959*o**5*x**2 + 5*o*x**2 - 14*o - x**2 + 33*x - 327 wrt o. 197619180*o**3*x**2 Find the third derivative of -439865*b*p**3*t**2 + 2*b*p**3*t + 13*b*p**2*t**2 - 8*b*p**2*t - 11*b*p**2 - 7*b*p + 5*p**2 wrt p. -2639190*b*t**2 + 12*b*t Find the second derivative of -48194*t**3 + 2593*t**2 + 167*t + 1371095 wrt t. -289164*t + 5186 Find the first derivative of -633*s*t + 14958070*s - 1614*t wrt t. -633*s - 1614 What is the third derivative of 218*v**6 - 197720*v**4 - 5071380*v**2 + 4*v + 1 wrt v? 26160*v**3 - 4745280*v What is the third derivative of -h**2*w**3 - 13*h**2*w**2 + 5*h**2*w + 2*h*w**3 + 77081*h + 1010669*w**3 wrt w? -6*h**2 + 12*h + 6064014 Find the first derivative of 19883*k**2*s**3 + 10*k**2*s - k**2 + 226462*k - 4 wrt s. 59649*k**2*s**2 + 10*k**2 Differentiate -981359*z**2 + 4110263 wrt z. -1962718*z What is the second derivative of 121186*a**2*b*c + 2*a**2*b + a**2*c + 3*a**2 + 44*a*b*c - 5*a*b + a*c + 2*a + 771*b*c - 2 wrt a? 242372*b*c + 4*b + 2*c + 6 What is the derivative of 402600395*s - 322043288 wrt s? 402600395 Differentiate 312654*w**3 + 87*w**2 - 911501279 with respect to w. 937962*w**2 + 174*w What is the second derivative of -342498*m*y**2 + 20953*m*y - 101*m + 16*y**2 wrt y? -684996*m + 32 What is the second derivative of 102954883*a**5 - 117129882*a? 2059097660*a**3 What is the second derivative of -5317*s**4 + 13491*s**3 + 3058*s + 9433 wrt s? -63804*s**2 + 80946*s Find the first derivative of -303809*n**2 + 74*n - 212105051. -607618*n + 74 Differentiate -14120118*b**2 + 13990550 wrt b. -28240236*b What is the second derivative of -533891*n**2*v - 3*n**2 + 12344569*n*v wrt n? -1067782*v - 6 Find the second derivative of -m**3*w**2 + 219*m**3 + 3*m**2*w**2 - 785085*m*w**2 + 151411*w wrt w. -2*m**3 + 6*m**2 - 1570170*m Find the second derivative of -25664994*d**3 - 66218*d + 306. -153989964*d Find the first derivative of -3262617*z - 8003546. -3262617 Find the first derivative of -6*n**4 - 53*n**3 - 16050*n**2 - 5379693. -24*n**3 - 159*n**2 - 32100*n What is the first derivative of 26204*a*k + 44102381*a - 43*k**4 wrt k? 26204*a - 172*k**3 Find the third derivative of -540*t*v**3 + 153*t*v**2 - 2*t*v - 2*t + 171*v**4 - 181*v**2 - 2*v wrt v. -3240*t + 4104*v What is the third derivative of -54230*r**5*s**3 + 29*r**5 + 2453*r**2*s**3 + 14*r**2 + 4*r*s**3 - 3*r - s**3 + 2*s wrt r? -3253800*r**2*s**3 + 1740*r**2 Find the first derivative of -4*n**3*q - 195*n**3 + 32*n**2*q + 3*n**2 + 125473*n*q - n - 26545 wrt q. -4*n**3 + 32*n**2 + 125473*n What is the third derivative of 54*o**6 + 72510*o**4 + 2*o**3 + 2*o**2 - 4*o + 2087615? 6480*o**3 + 1740240*o + 12 What is the second derivative of 9290336*r**4 - r**2 - 34100717*r wrt r? 111484032*r**2 - 2 What is the second derivative of -397397*n**3 - 13*n**2 - 6765532*n? -2384382*n - 26 What is the third derivative of 4475023*d**4 - 5373502*d**2 wrt d? 107400552*d Find the second derivative of 19*d*l**2 + 430*d*l + 3*d + 38965*l**3 - 3*l + 38
{ "pile_set_name": "DM Mathematics" }
l**2 + (2*l - 1 + 1)*(-l - 2*l + 2*l) + 0*l**2 - 3*l**2 + 2*l**2 - 3*l**2 + 0*l**2 + 2*l**2 - 3*l + l**2 + 3*l. 1169*l**2 Expand (-13 - 13 - 4 + 9 - 25367*n + 21)*(-3 - 2*n**2 + 3). 50734*n**3 Expand (4 + 2*i**2 - 4)*((1137*i**2 - 432*i**2 + 826*i**2)*(2*i - 3*i + 3*i) - 3*i**3 - 3*i**3 + 2*i**3). 6116*i**5 Expand (o**3 + o**3 - o**3)*(10*o + 7*o - 7*o) + 71*o**4 - 490*o**4 - 411*o**4. -820*o**4 Expand (-2 - 1 + 2)*(0 - 1 + 2)*(9 + 1 + 11)*(2 - 6 + 2)*(-5*v + 6*v + 7*v + (3*v - 2*v + v)*(-2 + 7 - 2)). 588*v Expand (-7*q + 6 - 6)*(-2 + 6 + q - 3)*(-6*q**2 + 2*q**2 + 2*q**2 - q**2 - 3 + 3 + (-3*q + 0*q + 4*q)*(-4*q - 4*q + 3*q) + 1 + 2*q**2 - 1). 42*q**4 + 42*q**3 Expand (b - 1 + 1 + (-186 + 62 + 46)*(7*b - 10 + 10) + 0*b + 2*b + 0*b)*(-12*b + 12*b - 4*b**2). 2172*b**3 Expand ((-2*y - 2 + 2)*(-3 - 2 + 6) + 0*y - 2*y + 0*y - y - 4 + 4)*(13236*y - 108*y**2 - 13236*y). 540*y**3 Expand (-53*j + 28 - 28)*(17*j + 52 - 52). -901*j**2 Expand (8*i**4 - 8*i**4 - 21*i**4)*(-1 + 1 - 2*i) + 0*i**5 + 4*i**5 - i**5. 45*i**5 Expand ((9341*y**2 + 202*y**3 - 9341*y**2)*(2 - 2 - 1) + 5*y**3 + 0*y**3 - 4*y**3)*(5 - 1 - 5). 201*y**3 Expand (3 - 138130*s + 138110*s + 2)*((-2*s**4 - s**3 + s**3)*(-1 + 2 + 1) + 3*s**4 - 2*s**4 - 4*s**4). 140*s**5 - 35*s**4 Expand 4*h**2 + h**2 - 3*h**2 + (4*h**2 + 2*h**2 - 4*h**2)*(2 + 2 - 2) + (-12*h + 147*h + 92*h)*(-42 + 42 - 6*h) + (-1 - h + 1)*(3 - 2*h - 3). -1354*h**2 Expand (-w**2 + 3*w**2 + w**2)*(-3 - 2*w**2 + 3) - 3*w**4 + w**2 - w**2 - 3*w**4 - 9*w**4 - 5*w**4 + 27*w**3 - 2*w**4 - 27*w**3. -28*w**4 Expand (-1087*n**3 - 1893*n**3 + 808*n**3)*(-3*n + 0*n + n). 4344*n**4 Expand (i**3 - 2*i**3 + 3*i**3)*(4 - 4 + 2)*(-296 + 3667 - 1036). 9340*i**3 Expand (12 - 10 - 7)*(-3*a + 3*a - a**3) + (-8*a + 3*a**2 + 8*a)*(0*a + 2*a - 4*a)*(-2 + 6 + 1). -25*a**3 Expand -34*o + 4*o**2 + 34*o + (-4*o + 3*o**2 + 4*o)*(8 - 3 - 1) + o**2 - 3*o**2 + 5*o**2. 19*o**2 Expand (144*p + 1 - 87*p - 75*p)*(3*p**2 + 6*p - 188 - 188 + 378). -54*p**3 - 105*p**2 - 30*p + 2 Expand -s + s + s - s + 5*s - 5*s + (-3*s - 3*s + 5*s)*(4 - 2 - 1) + 8*s + 8*s - 8*s + 4 + 2341*s - 2498*s - 4 - 5020*s. -5170*s Expand 3*m**3 - m**3 - 3*m**3 + 5*m**4 + m**2 + 3*m**4 - m**2 + (3 - 3 - 4*m**2)*(-8 + 8 + m**2) + 2*m**4 - m**4 + m**4. 6*m**4 - m**3 Expand (-18 + 59 - 97*b - 24 - 17)*(-4*b + 4*b + 3*b). -291*b**2 Expand (2 + 1 - 2 + (4 + 0 + 0)*(-4 + 6 - 1))*(0 + 0 - 3*a)*(550 + 148*a - 148*a - 2*a**3). 30*a**4 - 8250*a Expand (-1 + 0 + 3)*(-2*q**2 + 4*q**2 - q**2) + 14*q**2 - 23 + 23 - 1 + q**2 + 1 + (0*q - 2*q - q)*(4 - 4 - 2*q) + 1 + q**2 - 1. 24*q**2 Expand (-44 - 20*i**3 + 4*i**3 - i**2 + 11*i**3)*(7*i - 2*i - 2*i). -15*i**4 - 3*i**3 - 132*i Expand 11*r**2 - 11*r**2 + 8*r**4 - 111 + 111 + 22*r**4 + (7*r**2 - r**2 - 4*r**2)*(-2*r**2 + 0 + 0). 26*r**4 Expand (2 - 2 - n - 2 - n + 2 + (3 - 2 - 2)*(2*n + 3*n - 3*n) + 0 + 0 - n + 10 - 11 + 6 - 6*n)*(-3 + 2 - 3)*(4*n - 7*n + 33*n). 1320*n**2 - 600*n Expand -9*k**2 - 5*k**2 + 30*k**2 - 3*k**2 + 31*k**2 + (5*k + 0*k - 3*k)*(-48 + 48 + 9*k). 62*k**2 Expand 0*q + 2*q**3 + q**3 - 2*q + (-5*q + 4*q - 3*q)*(-7*q - q**2 + 7*q). 7*q**3 - 2*q Expand (3*t - t - t)*(3652 + 1906 + 4129 + 1964 + 3416). 15067*t Expand (54 - 58 + 156)*(2 + 2 - 3)*(3*v + v + 0*v)*(2 - 2*v**3 - 2)*(-14 - 17 - 15). 55936*v**4 Expand -630 + 9*l - l - 12*l + (2 - 1 - 2)*(2*l + l - l). -6*l - 630 Expand (35578*l - 35578*l + 2201*l**2)*(-2*l**2 - 2*l + 2*l) - l**4 - 3*l**4 + 2*l**4. -4404*l**4 Expand (19 - 9 + 8)*(6*o - o + 10*o)*(-3 + 3 - 4). -1080*o Expand ((2 - 5 + 1)*(2*y - 2*y + y) - y + 1 - 1 - 3*y + 2*y + 0*y)*(-10 + 32 + 6)*(1 - 2 + 2) - y + 0*y + 0*y. -113*y Expand (-1812981 - 1805*p + 1812981)*(3*p - 4*p + 5*p)*(-4 - 4 + 7). 7220*p**2 Expand (15 - 15 + 6*g**4)*(1 - 3 + 4)*(6 + 28 + 242). 3312*g**4 Expand (15*p + 8*p + 8*p)*(-27 - 309*p**2 + 1 + 307*p**2). -62*p**3 - 806*p Expand (-4*a**2 + 3*a**2 + 5*a**2)*(50 - 50 - 110*a**2) + 6*a**4 - 2*a**4 + a**4. -435*a**4 Expand (1 - 3 + 4)*(2*p**2 + 2*p**2 - 2*p**2)*(10 + 30 + 30). 280*p**2 Expand 2*a + a - 5*a + (0 - 1 + 4)*(a + 3*a - a) + 2*a - 3*a - a + 0*a - 7 + 4 + 2*a. 7*a - 3 Expand 1 + 3*x**3 - 1 - 2 + 2 - x**3 + (5*x - 5*x - x)*(0 + 0 - 2*x**2) + (2*x**2 - 3 + 3)*(-3*x - 17 + 18 + 57*x). 112*x**3 + 2*x**2 Expand (-l + 6 - l - 3)*(7 - 3 - 3) + (-4*l - 4*l - l)*(7 - 1 - 1) + 3*l - 4 + 4. -44*l + 3 Expand (-17 + 35 + 91)*(96 - 96 + 12*h). 1308*h Expand (0 + 0 + 4)*(-o + 5*o - 13*o)*(-5 - 3 + 5). 108*o Expand (0 - a + 0)*(0 + 4 - 3) - 1 - 2*a + 1 - 2*a + 2*a - 2*a + 0*a + 0*a + a + (-6*a + 4*a + 6*a)*(-3 + 1 + 1) + (23 + 68 + 36)*(-a + 0 + 0). -135*a Expand (3 + 3*z - 3)*((-1 + 0 + 2)*(-2 - 4 + 5) + 3 + 1 - 3 + (1 + 0 + 0)*(3 + 1 - 5) + 7 - 3 - 2 + 52 + 120 + 524) - z - z + 3*z. 2092*z Expand (z - z + 3*z)*(-52*z**3 + 16*z**4 + 52*z**3) - 12*z - 3*z**5 + 12*z. 45*z**5 Expand (278*l - 135*l - 117*l - 9)*(3*l + l - 6*l)*(0 + 0 - 3*l). 156*l**3 - 54*l**2 Expand (-6 + 4*i + 6)*(-4 - 3*i + 4) + 0*i - 3*i**2 + 0*i + (42 + 31 + 6)*(4*i**2 - 3*i**2 - 4*i**2). -252*i**2 Expand (-a + 0*a + 0*a)*(0 - 2*a + 0)*(46 - 59 - 89)*(a**3 + 3*a**3 - 7*a**3 + (-1 + 1 - 2)*(-2*a + 2*a - a**3)). 204*a**5 Expand 0 - 3*v + 0 + (-6*v + 2 - 2)*(129 - 151 + 578)*(5 - 3 - 4). 6669*v Expand (-89*u**2 - 433*u + 433*u)*(-3*u**3 + u**3 + 3*u**3) + (-3*u + 0*u + u)*(-u**3 + u**3 + 2*u**4). -93*u**5 Expand 2*j**4 + 4*j**4 - 3*j**4 + j**4 - 2*j**4 + 3*j**4 + 0*j**4 + 0*j**4 - 2*j**4 + (-411*j**2 - 8322 + 8322)*(-3*j**2 + 7*j**2 - 2*j**2). -819*j**4 Expand (-10*o**2 - 1244*o + 1244*o)*(-33*o + 18*o - 30*o). 450*o**3 Expand -1391644*s**3 - 2667*s**4 + 1391644*s**3 + (3*s**2 + s**2 - 2*s**2)*(s**2 + 5 - 5). -2665*s**4 Expand (-42*l + 41*l + 3*l**3 + 10*l**3)*(105 - 304 + 26)*(1 + 0 - 2). 2249*l**3 - 173*l Expand (-76*o + 84*o - 233*o)*(-2*o + 3*o - 2*o + (3 + 0 - 2)*(-2*o - o + 2*o)). 450*o**2 Expand (-2*t**2 + 10*t**2 - 5*t**2)*(-2 + 2 + 2) + 4*t**2 - 4*t**2 + 12*t**2. 18*t**2 Expand (-2*a**2 - a**2 + a**2)*(a**2 + 4*a**2 - 3*a**2) + 811*a + 399*a**4 - 811*a + (4*a**3 + 0*a**3 - 2*a**3)*(-a - 2*a + 5*a). 399*a**4 Expand (3*t - 8*t - t)*(2 - 2 - 2) + 3 - 445*t + 382*t - 1. -51*t + 2 Expand (-281*n + 281*n + 36*n**2 - 10*n**2 + 17*n**2 - 18*n**2 + (3*n + 0*n - 2*n)*(-2*n - n + 5*n) + n - n + n**2)*(-3 + 0 + 4). 28*n**2 Expand ((4 - g - 4)*(3*g + 3*g - 5*g) + 44*g**2 - 24*g**2 - 30*g**2)*((2 - 4 + 1)*(8 + 4 - 7) + 8 + 3 + 4). -110*g**2 Expand (-2*f**2 + 3*f**2 + f**2)*(-22 + 193 + 185 + 92 + 211). 1318*f**2 Expand (2*n + n - n)*(-4 - 2 + 4) + (1 - 1 - 3*n)*(-2 - 5 + 4) - 5*n + 2*n - 17*n. -15*n Expand -2342*r**4 + 363*r**4 + 1035*r**4 + 2*r**4 - 5*r**4 + r**4 + (r + r**2 - r)*(0*r**2 - r**2 + 2*r**2) + 2*r**4 - 3*r**4 + 3*r**4. -943*r**4 Expand h**3 + 0 + 0 - h**3 + h**3 + h**3 + (-1 - 2*h**2 + 1)*(-4*h + 3*h + 0*h) - 7*h**3 + 3*h**3 - 16*h**3 + 90 - 89 + 7*h**3 - 48*h**3. -57*h**3 + 1 Expand 6*b + 6 - 6 - 1 - 94*b - 137*b + 167*b + (0 + 4 - 3)*(-2*b - 2 + 2) + 0*b + 3*b + b. -56*b - 1 Expand (8 - 12 + 11)*(6*h + 5*h + 2*h)*(h + h - 2*h + 33*h**2). 3003*h**3 Expand -6*h + 12*h + 2*h + (-2 - 13 + 29)*(-4*h + 2 - 2). -48*h Expand (-3 - 2*z + 3)*((-2 - 1 + 1)*(1 - 2 + 2) + 238 - 12 - 42). -364*z Expand (2 - 2 - g)*(0 - 1 + 0) + (10 + 11 - 19)*(-5*g + 2*g + g) + 262 - 262 + 7*g. 4*g Expand (-6*p + 3*p + 5*p)*(-p**2 + 2*p**3 + p**2)*(p - 2*p - p) + (-99*p - 31*p**3 + 99*p)*(63*p**2 - 136*p**2 + 69*p**2). 116*p**5 Expand (0 + 2*v**2 + 0)*(-4 - 2 + 3)*(v - v - v**2)*((-v - 1 + 1)*(-2 + 1 + 2) - 70 + 173*v + 70). 1032*v**5 Expand (2 + 3 + 2)*(71*w**3 + w - w + w**3 - 4*w + 4*w + (4*w**3 - w**3 - 4*w**3)*(-4 + 5 - 2) - 3*w**3 + 0*w**3 + w**3). 497*w**3 Expand (i - i + i)*(2 - 2 - 3) + 6974*i - 6568*i + 4782*i - i + 3*i - 3*i + (-5 + 5 + 2*i)*(0 + 0 - 1) - 2*i - 2*i + 2*i. 5180*i Expand (3*z**2 - 3*z**2 + z**2)*(-10*z + 88 - 3*z - 91) + z**3 + 3*z**3 + z**3 + (4*z**2 - 3*z**2 + 2*z**2)*(0*z - z + 2*z). -5*z**3 - 3*z**2 Expand (15*s - 331 + 164 + 165)*(-11 + 11 + 6). 90*s - 12 Expand (-239*q + 481*q - 97 - 215*q)*(3*q + 1 - 1) + 3 + 2*q**2 - 3. 83*q**2 - 291*q Expand (2*m**2 + m - m)*(1 + 0 - 3)*(5*m - 32*m + 2*m + 0 + 0 + 19*m + (-1 + 2 - 2)*(2*m + m - m)). 32*m**3 Expand (-2*h + 2*h - 2*h)*(3 - 3 + 3*h**2) - 2*h**3 + h**2 - h**2 + (-1 - 1 - 3)*(6*h**3 + 0
{ "pile_set_name": "DM Mathematics" }
18, -5, 21126. -18, -5, 21126 Sort -12, -4, 330517 in increasing order. -12, -4, 330517 Put 5, -60, 6, -175, 35 in descending order. 35, 6, 5, -60, -175 Put -2, -4, -1, 0.21, -16/147, 22 in increasing order. -4, -2, -1, -16/147, 0.21, 22 Sort -3, 2, 6, 5, 38, 7902 in decreasing order. 7902, 38, 6, 5, 2, -3 Sort 427, -1/7, -7, 5/3, 4/7, 2/3 in decreasing order. 427, 5/3, 2/3, 4/7, -1/7, -7 Put -2, -9, -2435, -3 in ascending order. -2435, -9, -3, -2 Sort -242.524, -675, -3/5 in descending order. -3/5, -242.524, -675 Put 3474, -4, -1, -16394 in increasing order. -16394, -4, -1, 3474 Put -11, 0, -5, -257, 2089 in increasing order. -257, -11, -5, 0, 2089 Put -50, 892176, 2 in increasing order. -50, 2, 892176 Sort -67.028, -0.04, 0.5 in increasing order. -67.028, -0.04, 0.5 Sort 1, -262, 45745. -262, 1, 45745 Sort -873, -1620, -4 in increasing order. -1620, -873, -4 Sort 16, 7187, -5, 0.4, -3, -1, 0 in ascending order. -5, -3, -1, 0, 0.4, 16, 7187 Put -0.04, 4, 1/8, -4, 7, 6, 7.9 in increasing order. -4, -0.04, 1/8, 4, 6, 7, 7.9 Sort 6/11, -63.59, -0.4 in ascending order. -63.59, -0.4, 6/11 Put -3, -2, 4, 1, 2, 12, 5 in descending order. 12, 5, 4, 2, 1, -2, -3 Put 4, 11, -179311, 1, 5 in descending order. 11, 5, 4, 1, -179311 Sort -1, 3, 7, 38, -481, 0 in increasing order. -481, -1, 0, 3, 7, 38 Sort -4, -2, -14, -515, 0, 6, -12 in ascending order. -515, -14, -12, -4, -2, 0, 6 Sort 54378, -5, 0, 3, -1. -5, -1, 0, 3, 54378 Sort 2, -27, -24, -5426 in ascending order. -5426, -27, -24, 2 Sort 0, -3, 3, 367, -12, 2, 4 in descending order. 367, 4, 3, 2, 0, -3, -12 Put -4, 111917, 41 in decreasing order. 111917, 41, -4 Put 0.1, 2.71, -2/7, 1/7, 17690 in decreasing order. 17690, 2.71, 1/7, 0.1, -2/7 Put -3, 66087, 3, -6, 1 in decreasing order. 66087, 3, 1, -3, -6 Sort 4, -4, -121, -1, -2568. -2568, -121, -4, -1, 4 Put 9, 3, 24, 0.1, 180, 0.3, 5 in decreasing order. 180, 24, 9, 5, 3, 0.3, 0.1 Put 0.01, 175, 129/8, 0.2, 2, -2/9 in increasing order. -2/9, 0.01, 0.2, 2, 129/8, 175 Put 6, -4175, 19 in ascending order. -4175, 6, 19 Put -904561, 10, -4, 2 in increasing order. -904561, -4, 2, 10 Sort 0, 7, -1115/6, 73, 4 in increasing order. -1115/6, 0, 4, 7, 73 Sort -7, -6788, 9, -4 in increasing order. -6788, -7, -4, 9 Sort 0, -25634, 3, 2, 1. -25634, 0, 1, 2, 3 Sort -5/2, 13, -1, 5493, -0.14, -2. -5/2, -2, -1, -0.14, 13, 5493 Sort -2, 5, 2, 4, 1011, 1950 in decreasing order. 1950, 1011, 5, 4, 2, -2 Sort -4, -16.128, 4/3, -285 in ascending order. -285, -16.128, -4, 4/3 Sort -152666, 2/345, 0.2 in ascending order. -152666, 2/345, 0.2 Sort 1/4, 18259162, 2/5. 1/4, 2/5, 18259162 Sort 224, 1, 0, -1407, -4 in decreasing order. 224, 1, 0, -4, -1407 Sort -5, -3, 1, -23, -1, -271, 3. -271, -23, -5, -3, -1, 1, 3 Sort 1, -6, 76, 47591, -5. -6, -5, 1, 76, 47591 Sort -3, -31911, -2, 0, 5 in descending order. 5, 0, -2, -3, -31911 Sort -7, -0.1, -910882, -4 in decreasing order. -0.1, -4, -7, -910882 Put 15, -1/29, -0.12, 3 in decreasing order. 15, 3, -1/29, -0.12 Put 5, 102.17, 1/3 in ascending order. 1/3, 5, 102.17 Put -528, -4, -3, 2, -1, 5 in descending order. 5, 2, -1, -3, -4, -528 Sort 1, 1592, -5, -93 in increasing order. -93, -5, 1, 1592 Sort 5, 12, 13, -3, 4, 2, -104 in decreasing order. 13, 12, 5, 4, 2, -3, -104 Put 39, 0, 4, 741642 in descending order. 741642, 39, 4, 0 Sort -2, 2/17, -285/7, -0.07, 9, 4. -285/7, -2, -0.07, 2/17, 4, 9 Sort 21, 1, -14, -3, 2, 4, -2 in decreasing order. 21, 4, 2, 1, -2, -3, -14 Put 0.031, 0.4392, 0.7 in descending order. 0.7, 0.4392, 0.031 Put 11, 115, -18, -11, 4 in ascending order. -18, -11, 4, 11, 115 Sort -14, 0, 6, 647, 5 in increasing order. -14, 0, 5, 6, 647 Put 5, -2, 7, -169, 703, -3 in descending order. 703, 7, 5, -2, -3, -169 Put -5, 3299139, 2 in descending order. 3299139, 2, -5 Sort -4078, 2514, -7 in decreasing order. 2514, -7, -4078 Put 0.1, -271, 3, -35, -0.1, 0.9 in increasing order. -271, -35, -0.1, 0.1, 0.9, 3 Put -1170221, 1, -97, 0 in decreasing order. 1, 0, -97, -1170221 Put -4, 1288, 5, 11.05 in increasing order. -4, 5, 11.05, 1288 Sort -7, 1030, 1, 22 in increasing order. -7, 1, 22, 1030 Sort 7, -2, 344, 4, -18, 26 in decreasing order. 344, 26, 7, 4, -2, -18 Sort 3, 2, 335, 4, -12, -5, -3 in decreasing order. 335, 4, 3, 2, -3, -5, -12 Sort 1680, 0.1, -18, -0.3, 1/3 in ascending order. -18, -0.3, 0.1, 1/3, 1680 Put -3, -643, 63, 4, 8, 6 in descending order. 63, 8, 6, 4, -3, -643 Sort -0.5, 20, 18, 9.1, -3/5 in decreasing order. 20, 18, 9.1, -0.5, -3/5 Sort 8123, -605, 2 in descending order. 8123, 2, -605 Sort -1, 0, -281675, 2, -16 in descending order. 2, 0, -1, -16, -281675 Sort 4.19, 0.3, -5, 0, -551. -551, -5, 0, 0.3, 4.19 Sort -24, -128468, -53 in decreasing order. -24, -53, -128468 Sort -4, 1293, -14, 2, 9, -17. -17, -14, -4, 2, 9, 1293 Sort 1, 1062, -4, -6, 0, -110, -2 in descending order. 1062, 1, 0, -2, -4, -6, -110 Put -1, -0.066, 6, -4415 in decreasing order. 6, -0.066, -1, -4415 Put -1, 450, 66, -7 in descending order. 450, 66, -1, -7 Put 779, 1, -3, 25, 79 in ascending order. -3, 1, 25, 79, 779 Sort 1/3, 6952/5, 1/2 in decreasing order. 6952/5, 1/2, 1/3 Sort -4, -11, -2, -3, 5/4, -16457 in decreasing order. 5/4, -2, -3, -4, -11, -16457 Sort 41220, 54, 3. 3, 54, 41220 Sort 3, 825, -4, -3, 4282, -5 in ascending order. -5, -4, -3, 3, 825, 4282 Sort -6, 5, -5312. -5312, -6, 5 Put 17, 20/17, 0.09, 2/57 in ascending order. 2/57, 0.09, 20/17, 17 Put 49, -61, 6, -158 in descending order. 49, 6, -61, -158 Sort -1009, 4, 2, 3, -1/5, -8.5 in decreasing order. 4, 3, 2, -1/5, -8.5, -1009 Put 0.0217, -2/9, -9/49, 36 in decreasing order. 36, 0.0217, -9/49, -2/9 Put 201, 8, 34, -31 in descending order. 201, 34, 8, -31 Sort 24.9, -1/28, -5 in increasing order. -5, -1/28, 24.9 Sort 4.031, -1, -2, -0.77, 4 in increasing order. -2, -1, -0.77, 4, 4.031 Put 3, -3, -12, 5, -62876 in descending order. 5, 3, -3, -12, -62876 Sort -0.7, 61, 26/95 in decreasing order. 61, 26/95, -0.7 Sort -3, -29, -43185, -4, 1 in ascending order. -43185, -29, -4, -3, 1 Sort -3, 5, 0, -314, 1/5, 0.37 in decreasing order. 5, 0.37, 1/5, 0, -3, -314 Sort 237, -884.32, -0.1 in ascending order. -884.32, -0.1, 237 Put 324, -71, -1/4 in ascending order. -71, -1/4, 324 Sort 3, -10, 0, -5, 4, 8027 in decreasing order. 8027, 4, 3, 0, -5, -10 Sort -5, -90, -5000 in descending order. -5, -90, -5000 Sort 3, -6, -1, -836, 6, -2, 5 in decreasing order. 6, 5, 3, -1, -2, -6, -836 Sort 2222, -8, -41, 2/17 in decreasing order. 2222, 2/17, -8, -41 Sort -46601, 1, -2/1089 in decreasing order. 1, -2/1089, -46601 Put -1/4, 128, -11/90, 1/7 in decreasing order. 128, 1/7, -11/90, -1/4 Put -2, 5, -5, 1, 15, 193 in increasing order. -5, -2, 1, 5, 15, 193 Put -5, -174, -408937 in descending order. -5, -174, -408937 Put -393, -29, 2, -59 in ascending order. -393, -59, -29, 2 Put 144, 5.7, 3, 24/29 in decreasing order. 144, 5.7, 3, 24/29 Sort -16, -969, 1, 4, 3, -1, -2 in ascending order. -969, -16, -2, -1, 1, 3, 4 Put 0, -5, -0.5, -6015, -0.38, 1/3 in decreasing order. 1/3, 0, -0.38, -0.5, -5, -6015 Put -0.4, -168.9, -91, 0.04 in decreasing order. 0.04, -0.4, -91, -168.9 Sort 34, -19, -13313. -13313, -19, 34 Sort -19, -281, 3, 4, 1/3, 5 in ascending order. -281, -19, 1/3, 3, 4, 5 Put 1, 136/7, -0.76, 2, -2, -1 in decreasing order. 136/7, 2, 1, -0.76, -1, -2 Sort 3, -4, 1, 0, -13148796 in ascending order. -13148796, -4, 0, 1, 3 Put -1016, 0, 23, -3, 2 in increasing order. -1016, -3, 0, 2, 23 Put -1/6, -0.2, 8.1, -3, -0.7069 in decreasing order. 8.1, -1/6, -0.2, -0.7069, -3 Put -4, 0.3, -26.8, 0.7, -2.3, -2 in descending order. 0.7, 0.3, -2, -2.3, -4, -26.8 Put -4, -7225861, -5, -1 in decreasing order. -1, -4, -5, -7225861 Sort -32, 613, 0, 4. -32, 0, 4, 613 Put -32419375, 22, -1 in descending order. 22, -1, -32419375 Put 5, -0.15, -0.5, 102/7, 123.7 in descending order. 123.7, 102/7, 5, -0.15, -0.5 Sort -1, 0.8, 73, -2, -133, 3 in ascending order. -133, -2, -1, 0.8, 3, 73 Sort 12, -19, -775150. -775150, -19, 12 Sort -3, -1, 5, -18, 2, 1, -67 in decreasing order. 5, 2, 1, -1, -3, -18, -67 Sort 0, -3189, -86, -5, -4 in descending order. 0, -4, -5, -86, -3189 Sort -16, -7, -309, -2, 4 in decreasing order. 4, -2, -7, -16, -309 Sort -0.4, 1, -5, 4, 3549289, -0.3 in increasing
{ "pile_set_name": "DM Mathematics" }