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-w**2 + 2*w - 1 Let x(d) = 6*d + 8. Let s(t) = -4*t - 24. Let z(h) = -h - 8. Let l(j) = -6*s(j) + 17*z(j). What is -4*l(g) + 5*x(g)? 2*g + 8 Let v(n) = 2*n - 1. Let p(d) = d - 3. Determine -4*p(r) + 7*v(r). 10*r + 5 Let o(f) = 2744*f + 2. Let h(w) = 1372*w + 1. Determine 9*h(l) - 4*o(l). 1372*l + 1 Let q(v) = 9*v**2 + 3*v + 6. Let l(o) = 55*o**2 + 15*o + 31. What is -2*l(u) + 11*q(u)? -11*u**2 + 3*u + 4 Let x(z) = z**3 + z**2 - z + 1. Let n(g) = -59*g + 1297. Let c be n(22). Let a(k) = 6*k**3 + 9*k**2 - 5*k + 7. Calculate c*a(o) + 5*x(o). -o**3 - 4*o**2 - 2 Let a(u) = -2*u - 1. Let t(z) = 474*z + 79. Give -79*a(s) - t(s). -316*s Let x(k) be the first derivative of -2*k - 27 + k**2 + 0*k**3 + 7/4*k**4. Let r(i) = 29*i**3 + 9*i - 9. Give 2*r(o) - 9*x(o). -5*o**3 Let f(u) = 2*u - 10. Let p(m) = 5*m - 19. Determine -7*f(g) + 3*p(g). g + 13 Suppose -f + a = -a - 26, 10 = -2*a. Let y = -14 + f. Let g(o) = 2*o**2 + o**2 - 4*o**y + 0*o**2. Let v(j) = -j - 2. What is 2*g(p) - v(p)? -2*p**2 + p + 2 Let d(p) be the second derivative of p**2/2 + 2*p - 1. Let g(y) = -3*y. Give 2*d(c) - g(c). 3*c + 2 Suppose 4*n - z = n + 16, -3*n + 3*z = -18. Let d(j) = -10*j**2 - 5*j - 5. Let q(u) = -10*u**2 - 6*u - 6. Give n*q(g) - 6*d(g). 10*g**2 Let g(x) = 76*x + 482. Let o(f) = 165*f + 963. Determine -13*g(y) + 6*o(y). 2*y - 488 Let k(h) = -2*h**2 + h - 1. Let t(v) = 13*v**2 - 5*v + 5. Let j(r) = 16*k(r) + 3*t(r). Let g = -16 + 10. Let b(l) = -l**2. What is g*b(m) - j(m)? -m**2 - m + 1 Let v(u) = -1. Let p(h) = -9*h**2 - 5. Give -p(w) + 3*v(w). 9*w**2 + 2 Let c(t) = -22*t**2 + 14*t + 14. Let v(y) be the third derivative of 7*y**5/60 - 5*y**4/24 - 5*y**3/6 + 236*y**2. What is 5*c(o) + 14*v(o)? -12*o**2 Let f(m) = -43*m + 48*m - 5 + 0 + 0. Let n = 19 + -22. Let r(b) = 14*b - 14. Determine n*r(k) + 8*f(k). -2*k + 2 Let w(b) = -4*b - 3. Let c(v) = 1. Let t be 2/((-3)/(12/(-8))). Let i(n) = -3*n - 6. Let u(l) = t*i(l) + 4*c(l). Calculate -5*u(s) + 4*w(s). -s - 2 Let q(g) be the first derivative of g**2/2 + 3*g - 25. Let h(s) = s**2 + 8*s - 6. Let y be h(-8). Let u(i) = -i - 2. Determine y*u(x) - 4*q(x). 2*x Let h(u) = 3*u + 125. Let v(s) = 7*s + 251. Calculate 5*h(z) - 2*v(z). z + 123 Let w be 2*1/4*4. Let t(l) be the second derivative of -l**4/12 + l**2/2 + 4030*l. Let d(o) = -o**3 + 9*o**2 - 9. What is w*d(q) + 18*t(q)? -2*q**3 Let i be (-47)/(-9) + (-14)/63. Let h be (1 + 0)/(i/10). Suppose 2*x = -11 + 5, d = -h*x - 7. Let u(w) = w. Let p(o) = -4*o + 1. Give d*p(f) - 2*u(f). 2*f - 1 Let s be (-88)/22*((-1)/2 - 0). Let b(v) = v**2 - v + 3. Let i(q) = 5*q**2 - 6*q + 15. What is s*i(u) - 11*b(u)? -u**2 - u - 3 Let l(r) = -31*r - 70*r**2 + 104*r - 18*r. Let f(j) = -5*j**2 + 4*j. Let w be (-2)/6 - (-20)/15 - 5. What is w*l(g) + 55*f(g)? 5*g**2 Let a(k) = -k**2 + 2*k. Let q be a(1). Let o(p) be the first derivative of -p**3/3 - p**2/2 - p - 87. Let g(c) = -10*c**2 - 6*c - 6. Give q*g(f) - 6*o(f). -4*f**2 Let h(b) = 2*b**2 + 8*b. Let o be 27/15 - (8 + 328/(-40)). Let k(w) = -4*w**2 - 17*w. What is o*k(f) + 5*h(f)? 2*f**2 + 6*f Let s(o) = 2*o**2 + o + 3. Let c(a) be the first derivative of -1 + 1/3*a**3 + 2*a + 1/2*a**2. Suppose -16 = -3*k - k. Determine k*c(r) - 3*s(r). -2*r**2 + r - 1 Let r(b) = -13*b**3 + 8*b**2 - 22*b + 6. Let l(u) = -11*u**3 + 7*u**2 - 22*u + 5. Calculate -6*l(z) + 5*r(z). z**3 - 2*z**2 + 22*z Let x(t) = -7*t - 8. Let w(i) = -3*i - 4. Let p(d) = 5*w(d) - 2*x(d). Suppose -2*l - 8*l = -30. Let k(y) = l + 33*y - 17*y - 15*y. Give 3*k(a) + 2*p(a). a + 1 Let k(j) = -6*j**2 - 3*j + 1. Let m(i) be the first derivative of -5*i**3/3 - i**2 + i - 122. Give -3*k(x) + 4*m(x). -2*x**2 + x + 1 Let h be -3 + 3 + -1 + 8 + -2. Let k(i) = -1 + 5*i**3 - h - 455*i + 461*i. Let b(m) = 14*m**3 + 17*m - 17. Calculate 6*b(w) - 17*k(w). -w**3 Let a(h) = h**2 - h. Let c(r) = -57 - 69 + 125. Calculate -2*a(l) - 2*c(l). -2*l**2 + 2*l + 2 Let o(b) = -17 + 4*b**2 - 12 + 67 - 16 - 4*b + b**3 - 18. Suppose 4*x + 1 = -19. Let c(r) = -r**3 - 5*r**2 + 5*r - 5. Give x*o(j) - 4*c(j). -j**3 Let y(h) = -1406*h**3 + 152*h + 152. Let p(x) = 2*x**3 - x - 1. What is -152*p(r) - y(r)? 1102*r**3 Let z(s) = 11*s**2 + 8*s - 12. Let o(f) = 2*f**2 + 2*f - 2. Determine 6*o(v) - z(v). v**2 + 4*v Let f(n) = -9*n - 176*n + 48*n**2 - 5 + 180*n. Let j(o) = 120*o**2 - 12*o - 12. What is -12*f(y) + 5*j(y)? 24*y**2 Let j(d) = 1 + 151*d - 135*d + 3 + 0. Let g(b) = 5*b + 1. What is 7*g(w) - 2*j(w)? 3*w - 1 Let q(x) = 2*x**3 + 3*x**2 + x + 4. Let u = 4 - -3. Let y(w) = 4*w**3 + 5*w**2 + 2*w + 7. What is u*q(z) - 4*y(z)? -2*z**3 + z**2 - z Let u(b) = b**3 + b**2 - 1. Let v(o) = -6*o**3 - 11*o**2 + 8. What is 24*u(n) + 3*v(n)? 6*n**3 - 9*n**2 Let w(k) = -81*k - 3. Let l(n) = n + 1. Give 4*l(p) + w(p). -77*p + 1 Let n(w) = -5*w**2 - 4*w. Let d(l) = -l**2 - l. Let p = 291 + -295. What is p*d(o) + n(o)? -o**2 Let q(n) = 11*n**3 - 4*n**2 + 4*n - 4. Let w = 176 + -180. Let t(l) = -12*l**3 + 5*l**2 - 5*l + 5. Calculate w*t(z) - 5*q(z). -7*z**3 Let g(d) = 19*d - 8. Let r(c) = 40*c - 17. Calculate 9*g(k) - 4*r(k). 11*k - 4 Let p(c) be the third derivative of c**6/60 + c**5/15 - 5*c**3/3 + 19*c**2. Let w(i) = -i**3 - 2*i**2 + 5. Calculate 2*p(s) + 5*w(s). -s**3 - 2*s**2 + 5 Let d(i) = 69*i + 1. Let m(l) = -136*l - 2. Give -7*d(y) - 4*m(y). 61*y + 1 Let f(g) = -2*g**3 - g**2 - g - 7. Let w(m) = -2*m**3 - 2*m**2 - m - 8. What is -6*f(s) + 5*w(s)? 2*s**3 - 4*s**2 + s + 2 Let n(t) = -3*t**2 + 7*t - 4. Let f(a) = -10*a**2 + 24*a - 13. Give -2*f(s) + 7*n(s). -s**2 + s - 2 Suppose -5*q = -6*q - 25. Let s = -47 - q. Let t(o) = -o**2 + 3*o - 3. Let u(d) = 4*d**2 - 11*d + 11. Determine s*t(b) - 6*u(b). -2*b**2 Let l(x) = 6*x - 11*x + 4*x + 2*x**2 - 6. Let n(j) = -1. Let m be (1/5)/((-8)/(-80)). Suppose -m*d + 2 = 6, -2*t + 3*d - 6 = 0. Calculate t*n(r) + l(r). 2*r**2 - r Let z(m) = m - 1. Let x(u) = -10*u + 9. Let y(k) = -46*k - 8. Let h be y(1). Let r = 18 + h. What is r*z(f) - 4*x(f)? 4*f Let j(y) = -15*y + 13 + 16*y - 13 - 2*y**3 - 3*y**2. Let w(x) = -x**2. Give -j(f) + 4*w(f). 2*f**3 - f**2 - f Suppose -3 = -2*n - 5*o + 10, o = -n - 1. Let k = n + 11. Let s(q) = 13*q - 10. Let u(z) = 9*z - 7. What is k*s(y) - 7*u(y)? 2*y - 1 Let s(z) = 23*z**2 + 6*z + 32. Let p(b) = 15*b**2 + 4*b + 21. Give -8*p(n) + 5*s(n). -5*n**2 - 2*n - 8 Let f be -10*(1/(-3))/((-2)/(-3)). Suppose 12 = -3*r, -7*a + 4*a - f*r = 35. Let j(h) = -7*h + 13. Let t(p) = -3*p + 6. What is a*t(s) + 2*j(s)? s - 4 Let c = 701 - 623. Let s(n) = -n**3 - n**2 - 1. Let i(k) = -91*k**3 - 78*k**2 - 78. What is c*s(x) - i(x)? 13*x**3 Let u(d) = -12*d + 1. Let q(k) = -10*k. What is 4*q(n) - 3*u(n)? -4*n - 3 Let c(v) = 1230*v**2 + 165. Let m(i) = -89 + 33 + 28 + 15*i**2 + 30. Give 2*c(n) - 165*m(n). -15*n**2 Let j(g) be the third derivative of -g**4/4 + g**3/6 + 3*g**2. Let s(d) = 11*d - 1. Suppose -3*m + 6 = -0, 0 = 5*n + m + 13. Determine n*s(h) - 5*j(h). -3*h - 2 Let g be -3 + (-2)/(3 - 1). Let p(y) = 2*y**2. Let i(c) be the first derivative of c**3/3 - 73. Determine g*p(q) + 5*i(q). -3*q**2 Let j(v) be the third derivative of v**5/60 - 5*v**4/24 + v**3 + 398*v**2. Let t(f) = -4*f**2 + 14*f - 17. Give 17*j(s) + 6*t(s). -7*s**2 - s Let h(f) = 4*f - 3. Suppose 3*b + 8 + 7 = 0. Let d(q) be the third derivative of 7*q**4/24 - 5*q**3/6 + 5*q**2. What is b*h(r) + 3*d(r)? r Let h = -1106 + 1100. Let i(k) = 6*k**2 - 15*k. Let r(x) = 3*x**2 - 8*x. Calculate h*i(w) + 11*r(w). -3*w**2 + 2*w Let m(c) = 11*c**3 + 3*c + 4. Let d(o) = -32*o**3 - 9*o - 11. Let l(h) = 6*d(h) + 17*m(h). Let b(u) = 14*u**3 + 8*u - 5. Determine 3*b(a) + 8*l(a). 2*a**3 + 1 Let c(r) = -15*r**3 - 15*r**2 + 22*r + 9. Let u(s) = -8*s**3 - 8*s**2 + 11*s + 5. Give 6*c(x) - 11*u(x). -2*x**3 - 2*x**2 + 11*x - 1 Let d(b) = b**3 + b**2 - 6*b + 6. Suppose -5*w = -7*w + 6, -f - 5*w = -9. Let t(y) = -y**3 - 2*y**2 + 13*y - 13. What is f*t(i) - 13*d(i)? -7*i**3 - i**2 Let a(k) = 5*k**2 + 4*k. Let q(w) = 4*w**2 + 4*w. Let s = -226 - -229. What is s*a(o) - 4*q(o)? -o**2 - 4*o Let n(p) = -3*p**2 - 13*p + 2*p**2 - 1 + 0*p**2. Let a = -5 + 8. Let r(q) = -153 + 153 - a*q. Calculate -2*n(z) + 9*r(z). 2*z**2 - z + 2 Let r = 2 + 1. Let h(w) = -6*w**2 - 3*w + 3. Let a(g) = -858*g - 7*g**2 - 3 + 7 + 854*g. Give r*a(t) - 4*h(t). 3*t**2
{ "pile_set_name": "DM Mathematics" }
o base 2. -1000111101 What is 12100 (base 4) in base 15? 1ba Convert 34683 (base 9) to base 12. 114a0 c (base 14) to base 2 1100 What is -12cc6 (base 13) in base 2? -1000100101001001 Convert -27368 (base 9) to base 12. -a882 -100011211 (base 3) to base 13 -3079 -40 (base 9) to base 6 -100 Convert 10100010110011 (base 2) to base 16. 28b3 What is -22020221 (base 3) in base 7? -23356 -17541 (base 11) to base 14 -8d7a -90 (base 16) to base 4 -2100 Convert 2132 (base 5) to base 15. 147 Convert 214 (base 10) to base 15. e4 -33824 (base 10) to base 12 -176a8 Convert 245a (base 11) to base 4. 302023 Convert -111221022 (base 3) to base 9. -14838 Convert -101203 (base 7) to base 14. -6403 Convert -20111 (base 6) to base 15. -baa Convert 34222 (base 6) to base 12. 2972 Convert 403 (base 9) to base 2. 101000111 Convert 388 (base 14) to base 16. 2c4 Convert 3490 (base 10) to base 5. 102430 -1562 (base 10) to base 4 -120122 Convert 280 (base 9) to base 6. 1030 What is 3b3c (base 14) in base 4? 2203022 Convert -415303 (base 7) to base 8. -213506 2041 (base 6) to base 2 111001001 Convert -42453 (base 7) to base 13. -4a37 -1110111000 (base 2) to base 11 -796 What is 1c98 (base 15) in base 6? 44442 -33301 (base 6) to base 3 -20101001 What is -1011011101101110 (base 2) in base 10? -46958 What is 5bb4 (base 14) in base 6? 202122 What is -614 (base 12) in base 13? -529 94b (base 13) to base 15 709 Convert 10011221 (base 3) to base 5. 33240 47554 (base 8) to base 10 20332 Convert -110 (base 2) to base 3. -20 Convert -542 (base 16) to base 11. -1014 Convert 321 (base 13) to base 8. 1026 Convert -1248b (base 12) to base 15. -7585 Convert -2276 (base 10) to base 9. -3108 Convert 8b6 (base 13) to base 10. 1501 Convert 52045 (base 6) to base 10. 6941 11111122 (base 3) to base 13 1658 3c34 (base 16) to base 10 15412 What is 1 (base 2) in base 12? 1 -3652 (base 8) to base 7 -5502 -768 (base 13) to base 7 -3462 24315 (base 6) to base 3 11220102 What is 2001100121 (base 3) in base 5? 2242404 What is 47910 (base 10) in base 4? 23230212 What is -110012 (base 3) in base 13? -1c4 What is -589 (base 13) in base 4? -32332 What is 22ae (base 15) in base 16? 1cc4 Convert 1111000101100 (base 2) to base 16. 1e2c -11110110001 (base 2) to base 12 -1181 15627 (base 8) to base 12 4107 What is 4210 (base 5) in base 12? 3a3 Convert -1000111010010 (base 2) to base 15. -1542 Convert 231c (base 13) to base 6. 34450 What is 231 (base 14) in base 13? 276 -699 (base 10) to base 8 -1273 Convert -14514 (base 7) to base 9. -5466 -974 (base 14) to base 4 -131022 Convert 60256 (base 10) to base 3. 10001122201 What is -129 (base 12) in base 7? -342 -40235 (base 6) to base 14 -1cd1 -58a (base 14) to base 5 -13402 What is 1048 (base 14) in base 4? 223320 Convert 20122 (base 4) to base 11. 44a Convert -101 (base 9) to base 11. -75 Convert -22b74 (base 12) to base 2. -1011011000001000 Convert -50e (base 15) to base 10. -1139 What is -122440 (base 8) in base 4? -22110200 What is 323240 (base 5) in base 11? 8354 Convert 21232120 (base 4) to base 15. bc07 Convert -3c9a (base 15) to base 13. -5b99 What is 1113230 (base 4) in base 9? 7625 -2361 (base 8) to base 12 -895 234001 (base 5) to base 14 3202 What is -210012 (base 3) in base 7? -1445 Convert -b62 (base 14) to base 3. -10002001 Convert -75a6 (base 12) to base 10. -12942 Convert 1045 (base 11) to base 8. 2544 What is -18d (base 15) in base 3? -111021 Convert -2 (base 13) to base 8. -2 What is 1f9 (base 16) in base 5? 4010 What is -11101101101 (base 2) in base 7? -5354 -212010 (base 3) to base 15 -2b9 Convert -612 (base 7) to base 4. -10233 -1343001 (base 5) to base 9 -42213 1598a (base 14) to base 9 82084 Convert 951 (base 15) to base 7. 6061 Convert -101100111000110 (base 2) to base 13. -a5cb Convert -d36 (base 16) to base 15. -1007 a2b (base 16) to base 9 3512 -1010001100011 (base 2) to base 4 -1101203 1909 (base 12) to base 8 5731 Convert 1ba (base 15) to base 16. 190 What is 268 (base 12) in base 15? 198 -56502 (base 7) to base 2 -11011111100110 What is -2012333 (base 4) in base 9? -12758 Convert 1c1 (base 14) to base 12. 265 What is 13012001 (base 4) in base 16? 7181 Convert 2e1b (base 16) to base 14. 4431 What is -3675 (base 10) in base 5? -104200 What is -33000 (base 4) in base 6? -4240 5115 (base 8) to base 7 10455 Convert 773 (base 9) to base 16. 279 -1032200 (base 4) to base 13 -2396 What is -967a (base 11) in base 3? -122112210 What is 33135 (base 7) in base 11? 6272 -1066 (base 9) to base 2 -1100010101 Convert 324430 (base 6) to base 16. 6942 What is -123242 (base 5) in base 9? -6547 What is -314 (base 7) in base 16? -9e 20201 (base 10) to base 15 5ebb What is -1002003 (base 4) in base 7? -15216 Convert 110111011011 (base 2) to base 7. 13225 Convert 1011101010 (base 2) to base 15. 34b 111100001101 (base 2) to base 14 1593 Convert 200223 (base 4) to base 15. 946 Convert -10222202 (base 3) to base 7. -11324 Convert 211101200 (base 3) to base 9. 24350 What is -110012121 (base 3) in base 2? -10001011000011 22703 (base 10) to base 7 123122 What is 10110111 (base 2) in base 12? 133 What is 111010101101 (base 2) in base 16? ead Convert 1015 (base 9) to base 2. 1011100111 Convert -4021 (base 5) to base 9. -627 Convert 518 (base 16) to base 7. 3542 What is -53252 (base 11) in base 2? -10010111010111001 2d25 (base 16) to base 11 8757 13452 (base 8) to base 13 2912 676 (base 11) to base 14 41b What is -401d (base 16) in base 12? -95b9 Convert -5b (base 14) to base 13. -63 What is 679 (base 13) in base 11? 923 25242 (base 6) to base 16 eba What is -184 (base 14) in base 5? -2222 What is a80a (base 14) in base 11? 1a890 78428 (base 9) to base 15 1068e What is 807 (base 16) in base 14? a6b Convert 34013 (base 6) to base 7. 16611 Convert -100111111010 (base 2) to base 3. -10111121 -f91 (base 16) to base 7 -14422 Convert -300012 (base 4) to base 3. -11020000 Convert 10111003 (base 4) to base 16. 4543 Convert 5349 (base 12) to base 14. 3481 Convert 903 (base 11) to base 3. 1111110 What is -16267 (base 8) in base 5? -213401 What is -10000100111 (base 2) in base 15? -4ad What is 16020 (base 7) in base 4? 1011321 -3d5 (base 14) to base 6 -3331 Convert 1675 (base 9) to base 14. 679 Convert -2104 (base 5) to base 12. -1b3 10310 (base 4) to base 6 1232 23ca (base 13) to base 3 20221200 2222000 (base 3) to base 8 4160 -14a6 (base 11) to base 2 -11110001011 Convert 2326 (base 10) to base 14. bc2 Convert -6e2 (base 15) to base 13. -932 -313 (base 12) to base 2 -110111111 Convert 23c03 (base 13) to base 3. 10100011222 What is -d59a (base 15) in base 16? -b059 Convert 1504 (base 7) to base 14. 304 -736 (base 8) to base 6 -2114 110100111110000 (base 2) to base 11 19415 What is -4705 (base 10) in base 5? -122310 -2ff (base 16) to base 2 -1011111111 5503 (base 8) to base 5 43013 What is -13201 (base 5) in base 11? -876 Convert -331102 (base 5) to base 14. -4226 What is 43002 (base 5) in base 2? 101100111101 321112 (base 4) to base 7 13462 -4100114 (base 5) to base 3 -10100001211 Convert -12201010 (base 3) to base 11. -3143 What is 1926 (base 10) in base 5? 30201 What is -4b7 (base 14) in base 10? -945 -172 (base 11) to base 3 -21102 What is -1674 (base 9) in base 14? -678 -12302 (base 4) to base 14 -230 36e4 (base 15) to base 7 46036 -92a3 (base 13) to base 9 -30683 Convert -22310 (base 4) to base 8. -1264 Convert 1011010011 (base 2) to base 5. 10343 -150535 (base 7) to base 5 -1412313 What is -1065 (base 12) in base 14? -92d What is 54056 (base 8) in base 11? 15a62 Convert 1076 (base 10) to base 14. 56c What is -225 (base 14) in base 10? -425 What is -22330 (base 4) in base 5? -10300 What is a67 (base 11) in base 13? 779 What is -2141 (base 11) in base 6? -21032 What is -1b1 (base 16) in base 4? -12301 -1041 (base 6) to base 3 -22221 -7c (base 16) to base 3 -11121 What is -1195 (base 11) in base 5? -22211 Convert 43062 (base 7) to base 4. 2212311 Convert -37274 (base 8) to base 14. -5bd2 Convert -211120 (base 3) to base 11. -504 What is -23c (base 16) in base 15? -282 Convert 2ba5 (base 12) to base 14. 1c4d Convert -131527 (base 9) to base 16. -13813 What is 2320 (base 7) in base 14? 447 What is 30424 (base 6) in base 13? 1ac5 10247 (base 10) to base 12 5b1b -341103
{ "pile_set_name": "DM Mathematics" }
l*v + z and give z. 4529 Express (-1330 - 17*n**2 + 1330)*(-3*n + n - n)*(51 + 14 + 15) as c*n**3 + t*n**2 + x*n + g and give c. 4080 Express (-10 + 21*t**2 + 10)*(2*t - 26 + 337 + 716 + 2*t) as y*t + j + k*t**2 + n*t**3 and give k. 21567 Rearrange ((-f + 2*f - 3*f)*(2 + 1 - 1) + 3*f - f - f - 2*f + f - f - 4581 - 45 - 49*f + 48*f)*(-3 + 4 + 0) to n*f + g and give n. -6 Rearrange (6*i + 0*i - 2*i)*(7*i**2 - 3*i**2 - 12 - 3*i**2) - 16*i**3 + 39*i**3 - 9*i**3 to x*i**2 + z*i**3 + c*i + g and give c. -48 Express 2*d - 1 - 3*d - d**3 - 174*d**2 - 918*d**4 + 3 + 919*d**4 in the form i*d**2 + s*d**3 + h*d + m + y*d**4 and give s. -1 Express (7*j**2 - 10*j**2 + 5*j**2)*(48 - 9 - 344) in the form r + x*j + y*j**2 and give y. -610 Express (-5 + 4 + 0)*(-6062*z + 7836 - 7836) as n*z + v and give n. 6062 Rearrange 252*j**3 + 2*j + 145 - 47 - 52 - 44 to q*j**2 + x + n*j + c*j**3 and give n. 2 Express -18*a - 7*a**4 + 3*a**4 + 16*a + 2*a**4 + 10*a - 10*a + (2*a**3 + 4*a**3 + 0*a + a)*(4*a - 5*a - 5*a) as r*a + j*a**4 + n*a**2 + z + m*a**3 and give n. -6 Express -14*k - 50*k - 12*k - k**2 + 7 + 3*k - 30*k - 3*k**4 in the form n*k + l*k**3 + x*k**2 + s + h*k**4 and give x. -1 Express 12 + 3*f + 154*f**2 - 146*f**2 + 7 + 2*f**3 as n + y*f**3 + k*f**2 + g*f and give g. 3 Rearrange (-286*n + 111 - 111)*(-114 + 265 - 29) to b*n + m and give b. -34892 Express -63*y**3 - 6*y**4 + 50*y - 5*y**2 + 3*y**2 + 5 + 62*y**3 + 7*y**4 in the form u*y**4 + w*y**3 + n*y + d*y**2 + c and give u. 1 Rearrange -3247*s - 6322 + 6322 to the form j*s + h and give j. -3247 Rearrange (n - 1 + 1)*(33*n - 24*n - 23*n + 2*n - 4*n + 4*n - 3*n + n + 3*n + (-2 + 0 + 0)*(-4*n + n + n)) to the form g + p*n + m*n**2 and give m. -7 Express (-9*h + 41*h + 4*h)*(-5007 + 5007 + 15*h) as z*h**2 + f*h + d and give z. 540 Rearrange 2*a - 43*a**2 - 7*a**4 + a**4 + 1783*a**3 - 1783*a**3 + 9*a**2 to t*a + s*a**4 + p*a**2 + n*a**3 + q and give t. 2 Rearrange -130 + 177 + 5*t + 9*t - 2*t to the form g*t + a and give g. 12 Express -4*b - 2*b + 46 + b - b in the form l + m*b and give l. 46 Rearrange (43 + 52 - 117 + (-3 - 1 + 2)*(-6 + 4 + 3) - 1 - 4 - 3)*(o - 5 + 5) to t + c*o and give c. -32 Express -15*i + 38086*i**2 + 26*i + 49 - 38116*i**2 - 13*i as c*i**2 + f*i + r and give c. -30 Rearrange 528812 - 2332*a**2 - 528812 to the form r*a**2 + c + s*a and give r. -2332 Rearrange -410 + 24*i - 61*i + 30*i + 1633 to z*i + p and give p. 1223 Express (14*w**2 - 97 + 97)*(73*w**2 + 14*w**2 + 83*w**2) in the form y + u*w**4 + c*w**3 + v*w + t*w**2 and give u. 2380 Express 95 - 561 + 25372*w - 25386*w in the form q + r*w and give q. -466 Express (56 + 27 + 17 - 26)*(j - 55669*j**3 + 5*j**4 + 21*j**4 + 55670*j**3) as i*j**4 + f*j + w*j**3 + y*j**2 + x and give f. 74 Express (0 - 1 - 4)*(b**3 + 3*b**3 - 2*b**3) + (-b**2 + 3*b**2 - 4*b**2)*(1682*b - 794*b - 1288*b) as d*b + z*b**2 + m*b**3 + o and give m. 790 Rearrange -70 - 14*u + 103 + 18*u to h*u + d and give h. 4 Express -57*p - 183 + 73*p - 54 + 20 as g + h*p and give h. 16 Express 10*g**3 + 111451*g**2 - 111482*g**2 + 29*g - 28*g in the form y*g**3 + l*g + r + o*g**2 and give o. -31 Express 225 + 67*i + 73*i - 205*i + 65*i - i**2 in the form x*i**2 + m + a*i and give x. -1 Express 6*x**3 - 5*x**2 + 58*x**2 + 4*x + 118 - 102 - 51*x**2 as d*x**3 + n*x**2 + f + t*x and give d. 6 Rearrange (3 - 1 + 0 - 21 + 10 - 4 + 0 + 0 + 2 + (4 - 4 + 2)*(-2 + 1 + 5))*(g - 3*g + 6*g) to t + r*g and give r. -12 Express -18103*i**2 + 9102*i**2 + 1 + 9102*i**2 in the form d + n*i**2 + z*i and give z. 0 Express -8*c**2 - 539*c**3 + 1081*c**3 - 113*c**2 - 544*c**3 in the form z*c + y + d*c**3 + l*c**2 and give l. -121 Express 3*x**3 + 9*x**3 - 3*x**3 + x**4 + 4 - 2*x + 4*x as n*x + h*x**2 + c*x**3 + l + i*x**4 and give l. 4 Express -98306*w**3 - 34*w + 98297*w**3 + 31*w + 1 + w**2 in the form t*w + x*w**3 + j + n*w**2 and give j. 1 Rearrange 1325*o + 1608*o + 2045*o to t*o + r and give t. 4978 Express 19*r - 97*r + 784*r**2 - 1573*r**2 + 784*r**2 in the form l + x*r + a*r**2 and give a. -5 Rearrange (4*l - 2*l + l)*(0 - 1 - 1)*(-1 + 3 - 5) + (-2 - 1 - 1)*(11 - 11 + l) + 17*l + 0*l + 64*l to the form r + i*l and give i. 95 Express 14756*g**2 - 595*g + 14751*g**2 - 29505*g**2 in the form t*g**2 + c*g + f and give t. 2 Express -k**2 - 2 + 88*k + 147*k**3 + 139*k**3 - 288*k**3 in the form q*k**3 + n + v*k + u*k**2 and give n. -2 Express 148*a**3 + 0*a**2 - 52*a**3 - 20 - 2*a + 33*a**3 - a**2 + 87*a**3 as t*a**3 + b*a**2 + q + z*a and give t. 216 Express 6 + 107 - 59 + 885*s**3 - s**2 - 61 + 2*s**2 in the form b + n*s**2 + f*s + c*s**3 and give b. -7 Express -14251*u - 509 - 10542*u - 1274*u + 509 in the form w*u + m and give w. -26067 Express (-3*w + w + w)*((2 + 0 + 2)*(5 - 2 - 4) - 4 + 9 + 14 - 4 - 1 + 3)*(-26 + 43 - 21 + w) as b*w + f*w**2 + p and give b. 52 Rearrange (9 - 7*g + 5*g + 2)*(-5 - 4 + 1 + 112 - 306 + 131 - 2 + 2 + 1 + (4 - 2 - 1)*(3 - 8 + 3)) to o*g + c and give c. -792 Rearrange 2*s**2 - 18688*s**3 + 5*s**4 + 0*s**2 + 18674*s**3 + 2*s to y*s**3 + f*s**4 + w*s + b*s**2 + m and give f. 5 Express -19*l - 15*l - 29*l + 81*l + 232 - 17*l in the form m*l + c and give c. 232 Rearrange 3098*h - 5889*h**2 - 3098*h to v + k*h + o*h**2 and give o. -5889 Express (1767*b**2 + 2212*b**2 + 2220*b**2 + 962*b**2)*(-4 + 2 + 3) as i*b + z*b**2 + d and give i. 0 Rearrange 37*x**2 - 44 + 42*x**2 - 176*x**2 + 94*x**2 to d + u*x + c*x**2 and give c. -3 Express 4*t**2 - 2*t**2 - 4*t**2 + (-3*t - 2*t + 3*t)*(t + 2*t - 5*t) - 161*t - 57378*t**2 + 513*t - 164*t - 188*t in the form f*t**2 + j + m*t and give f. -57376 Express 110 + 81 - 77 + 5*g + 232 as j*g + q and give q. 346 Express 4*i**3 - 212*i**4 - 4*i**3 - 4*i + 36*i**2 + 4 - 34*i**2 + 211*i**4 - i**3 as d*i**4 + s*i + t*i**2 + m*i**3 + x and give m. -1 Rearrange -85*d + 2*d**2 - 934 - 5*d**2 - 49*d - d**2 + 132*d to f*d + o + h*d**2 and give o. -934 Rearrange -3799*x + 25*x**2 + 3*x**3 + 3 - 10*x**4 - 23*x**2 + 3797*x to c*x**2 + g*x**4 + r*x**3 + w*x + o and give w. -2 Rearrange 0*i + 21 - 3 - 29*i - 35*i to the form l + w*i and give l. 18 Rearrange -712*v + 16 - 16 - 5783*v to the form o + h*v and give h. -6495 Express 4302*h - 202 - 194 + 585 - 189 in the form j + l*h and give l. 4302 Express 1 + 347272*z**2 - 3*z + 0*z - 8 + 0*z - 347274*z**2 in the form c + g*z**2 + k*z and give k. -3 Rearrange (-f - 10*f - 2*f)*(-4 - 3 + 3) + (5 - 3 - 4)*(2*f + 0*f + f) - 14*f - 137 + 137 to a + d*f and give d. 32 Rearrange -14 - 514*s**3 + 48 - 19 - 15 - s to n*s + d*s**2 + c + o*s**3 and give o. -514 Express (17*h**3 + 17*h**3 - 4*h**3)*(-2 - 3*h + 2*h + 0) - 179*h**3 + 179*h**3 + h**4 - 19*h**2 in the form d + f*h**3 + q*h + k*h**4 + u*h**2 and give k. -29 Express -697 + 2899*k - 847 + 1543 in the form a*k + d and give a. 2899 Express -9 - 63*x**2 + 7*x**3 - 12 + 17*x**2 + 10*x**2 + 44*x**2 in the form i*x + f + v*x**2 + s*x**3 and give s. 7 Rearrange (0 + 7 - 2)*(-43 + 55 - 319)*(-2 + 2 - 2*b)*(3*b - 5*b + b) to the form t*b + g + u*b**2 and give u. -3070 Rearrange (2*i - 1 + 1 + (102*i - 129*i - 72*i)*(-3 - 3 + 5))*(3 - 2*i - 3) to y*i**2 + o + a*i and give y. -202 Express (7*n + 13*n - 6*n)*(-1552*n - 1084*n**2 + 1552*n) in the form z*n**2 + d*n**3 + m*n + a and give d. -15176 Rearrange 4*p**2 - 16*p**2 + 4*p**2 + 5*p**2 - 157*p**3 - 648*p**3 to s*p + h*p**2 + d + r*p**3 and give r. -805 Express (-3*n**2 - 5*n**3 + 3*n**2)*(-28031606 - 3010*n + 28031606) as w + o*n**4 + d*n**3 + q*n + y*n**2 and give o. 15050 Rearrange 3*y**2 - 13*y**3 + 64*y + 3*y**2 + 12*y**3 - 62*y - 23 - 17 + 2*y**4 to o*y**3 + w*y + z*y**2 + a*y**4 + c and give z. 6 Rearrange (0*v**3 + 4*v**3 - 5*v**3)*(0 + 0 - 1)*(-1 + 4 + 2)*(-4 - 2 + 4)*(0 + 3 - 1)*(-1022 + 1598 - 840) to n*v**2 + t*v**3 + x + z*v and give t. 5280 Rearrange -470*a - 800*a - 2144*a - 8726*a - 10685*a to b*a + o and give b. -22825 Express 25*w**4 - 20*w**4 - 17*w**2 + 1 + 15*w**2 + 35*w - 34*w - 36*w**3 - 59*w**3 in the form a*w**3 + z*w**2 + d*w**4 + b + p*w and give d. 5 Rearrange -16*f**2 + 1143 - 1145 + 4*f**2 - 5*f**2 + 0*f**2 + 3*f**2 + f**2 + f**2 - 3*f**2 + (f - 2*f + 2*f)*(-3*f + 5*f - 3*f) to n + r*f**2 + g*f and give r. -16 Express 3*y**2 - 373 - 4*y**4 + 0*y**2 + 378 + 20*y**3 - 8*y**3 as m
{ "pile_set_name": "DM Mathematics" }
by -8. 5/4 Divide 5 by 42. 5/42 -416 divided by -4 104 Divide 1132 by -6. -566/3 4992 divided by -1664 -3 What is -355 divided by -2? 355/2 Divide 154 by -14. -11 Divide 3130 by 626. 5 Divide -37 by -44. 37/44 Calculate 63 divided by 152. 63/152 -1 divided by 404 -1/404 -50 divided by -83 50/83 What is 24 divided by -6? -4 Divide -796 by 4. -199 Divide -1 by -220. 1/220 1644 divided by -548 -3 Calculate 0 divided by -91. 0 Divide 138 by 23. 6 Divide -10 by 156. -5/78 What is -2604 divided by -7? 372 Calculate -468 divided by 36. -13 -29 divided by -145 1/5 What is 1900 divided by 190? 10 -2 divided by 810 -1/405 -2632 divided by -5 2632/5 What is -99 divided by -94? 99/94 Divide 3 by 10. 3/10 What is 10 divided by -2? -5 Calculate 24 divided by -429. -8/143 What is -77 divided by -57? 77/57 -4 divided by 641 -4/641 What is -1332 divided by -444? 3 Divide 2 by 285. 2/285 4303 divided by -331 -13 Divide 1691 by 1. 1691 What is 14750 divided by 10? 1475 Divide 6 by 2. 3 Calculate 66 divided by -3. -22 Calculate 1572 divided by -1. -1572 Calculate 270 divided by -9. -30 Calculate 337 divided by 4. 337/4 What is 61 divided by -5? -61/5 Calculate 293 divided by -4. -293/4 What is 4 divided by -3? -4/3 -668 divided by -1 668 Divide 160122 by -6. -26687 What is 6376 divided by -1594? -4 Divide 551 by 1. 551 Calculate 20 divided by 5. 4 Calculate 1664 divided by -32. -52 -47 divided by -1 47 What is 1032 divided by 6? 172 What is -1408 divided by 16? -88 Calculate 83 divided by -5. -83/5 67 divided by -1 -67 What is -29 divided by -39? 29/39 Divide 3230 by -646. -5 1065 divided by 3 355 5 divided by -456 -5/456 Divide 97 by -5. -97/5 What is -114 divided by -38? 3 What is 3 divided by -658? -3/658 What is -1205 divided by -5? 241 Divide 11085 by 3. 3695 Divide 2 by 6176. 1/3088 9 divided by -36 -1/4 Calculate -6 divided by -2. 3 What is 4 divided by -1463? -4/1463 -3 divided by 2359 -3/2359 Divide -237 by 10. -237/10 5148 divided by -26 -198 What is -97011 divided by -3? 32337 Calculate 43 divided by 43. 1 Calculate -570 divided by 2. -285 Divide -1672 by 8. -209 -24 divided by 32 -3/4 Calculate 357 divided by 7. 51 What is 810 divided by -6? -135 Calculate 2610 divided by -6. -435 What is -910 divided by -5? 182 Calculate -16 divided by 115. -16/115 What is 69 divided by 69? 1 What is -1008 divided by 4? -252 -3 divided by -2516 3/2516 -92 divided by -4 23 What is 38 divided by -1? -38 What is -115 divided by -60? 23/12 What is 6 divided by 25? 6/25 Divide 38 by -202. -19/101 Divide -336 by 4. -84 -325 divided by -25 13 What is 15549 divided by -3? -5183 What is -3835 divided by 5? -767 Divide 20 by 3. 20/3 What is 9932 divided by 2483? 4 Divide -399 by 6. -133/2 Calculate 253 divided by -1. -253 Calculate -1 divided by -67. 1/67 Divide 1132 by -1. -1132 Divide -2402 by 5. -2402/5 What is 186 divided by 31? 6 Calculate -125 divided by 2. -125/2 Divide -6043 by -1. 6043 Calculate 5728 divided by -2864. -2 5 divided by -18 -5/18 -204 divided by -4 51 1 divided by 93 1/93 0 divided by 135 0 What is -5082 divided by 3? -1694 What is 76 divided by 38? 2 What is 4 divided by -205? -4/205 What is 0 divided by 941? 0 What is 1680 divided by -3? -560 Divide -960 by -40. 24 -1791 divided by -3 597 171 divided by -37 -171/37 Divide 0 by -78. 0 -126 divided by 42 -3 What is 1 divided by -96? -1/96 Calculate -14752 divided by -4. 3688 What is -28 divided by 7? -4 What is 852 divided by 2? 426 -9740 divided by 1948 -5 -14 divided by -30 7/15 Divide -43 by -9. 43/9 672 divided by -5 -672/5 What is -12 divided by 45? -4/15 902 divided by 22 41 Calculate -2482 divided by -5. 2482/5 What is 114 divided by 4? 57/2 920 divided by 2 460 36 divided by 9 4 2618 divided by -2 -1309 Calculate -2 divided by -357. 2/357 Divide -60 by 2. -30 What is 0 divided by 152? 0 Calculate 14 divided by -14. -1 What is -2337 divided by 3? -779 Divide -369 by -41. 9 What is -185 divided by 5? -37 What is 14 divided by -14? -1 Divide 728 by 24. 91/3 What is 3990 divided by -3? -1330 Calculate -2 divided by -901. 2/901 What is -149736 divided by -4? 37434 -7 divided by 8 -7/8 What is -114 divided by -1? 114 Divide -2 by -43. 2/43 523 divided by 8 523/8 Calculate 9603 divided by 291. 33 Divide -7436 by -2. 3718 Divide 216 by -54. -4 Divide -53 by -1. 53 Calculate 2895 divided by -5. -579 What is 4321 divided by -3? -4321/3 What is 25 divided by 5? 5 Divide 0 by -86. 0 3 divided by 1087 3/1087 -719 divided by -3 719/3 What is 7434 divided by -3? -2478 What is 362 divided by 3? 362/3 21504 divided by 2688 8 What is 150 divided by -1? -150 What is 12 divided by 2? 6 What is 75 divided by -25? -3 -60 divided by 9 -20/3 What is -1 divided by -42? 1/42 Calculate 4710 divided by -157. -30 Divide -85 by -42. 85/42 Calculate 102 divided by 4. 51/2 Divide 603 by -9. -67 156 divided by -3 -52 What is -4500 divided by -25? 180 Divide -5 by 105. -1/21 Calculate 9 divided by -75. -3/25 What is 217 divided by 9? 217/9 What is -972 divided by 6? -162 -232 divided by -3 232/3 Calculate 2915 divided by 583. 5 Divide 1125 by -3. -375 Calculate 48 divided by 27. 16/9 162 divided by -8 -81/4 Calculate 85 divided by -17. -5 Calculate 13530 divided by 2. 6765 Divide 4 by 79. 4/79 122 divided by 61 2 Divide -1916 by 2. -958 38 divided by 38 1 Divide 1 by 92. 1/92 What is -387 divided by 129? -3 Calculate -360 divided by 360. -1 What is 4506 divided by -3? -1502 Divide -20 by -4. 5 -1992 divided by -3 664 What is -68 divided by -1? 68 Divide -3316 by 1. -3316 Calculate -90 divided by 1. -90 Calculate 0 divided by -3628. 0 Calculate 152 divided by -12. -38/3 0 divided by -20 0 What is 4 divided by -101? -4/101 Calculate -1638 divided by -2. 819 What is 2245 divided by 1? 2245 Calculate 2224 divided by 1112. 2 Divide 4905 by -6. -1635/2 What is -33 divided by 596? -33/596 What is 3102 divided by 6? 517 Calculate 0 divided by 692. 0 Calculate -840 divided by 168. -5 -13 divided by -199 13/199 Calculate 2 divided by 1925. 2/1925 Divide 3 by 5. 3/5 583 divided by 53 11 What is 449 divided by 7? 449/7 -4 divided by -58 2/29 Calculate -8754 divided by 1459. -6 Calculate -3218 divided by 1. -3218 Divide 17 by 8. 17/8 1164 divided by -12 -97 What is 1084 divided by -4? -271 Calculate -58 divided by -1. 58 Calculate -378 divided by -42. 9 What is 32 divided by 64? 1/2 -73 divided by -1 73 Divide 3 by 26. 3/26 What is -4 divided by -19? 4/19 67698 divided by -3 -22566 Divide -68 by -6. 34/3 -9 divided by 411 -3/137 Calculate 285 divided by -1. -285 Divide 6054 by 6. 1009 What is -570 divided by 57? -10 What is -2 divided by 678? -1/339 -2 divided by 118 -1/59 Calculate -5017 divided by 5017. -1 Divide 8982 by 3. 2994 Divide -4 by 17. -4/17 What is 0 divided by 3? 0 Calculate 3 divided by -118. -3/118 1 divided by -429 -1/429 11 divided by 11 1 Divide 8921 by -5. -8921/5 Calculate 204 divided by -12. -17 Divide -1860 by 5. -372 5 divided by -82 -5/82 What is 169 divided by 13? 13 Divide -101 by 1. -101 Calculate -5 divided by -776. 5/776 Divide 2322 by -43. -54 Divide 0 by -163. 0 What is -31 divided by -22? 31/22 Divide -367 by -44. 367/44 Divide 3690 by 738. 5 Divide 9 by 4. 9/4 -90 divided by -15 6 Calculate 699 divided by 3. 233 Calculate 5 divided by 62. 5/62 What is 5 divided by -1505? -1/301 Divide -531 by 59. -9 Divide 7700 by 11. 700 -2 divided by 334 -1/167 Divide 1 by -4182. -1/4182 What is -711 divided by 13? -711/13 Divide 265 by -53. -5 What is -12810 divided by -5? 2562 Divide -69 by 3. -23 Divide 490 by -98. -5 -3400 divided by 4 -850 28572 divided by -6 -4762 -210 divided by 21 -10 Divide -4 by -4829. 4/4829 Divide -4 by 2822. -2/1411 Calculate -10440 divided by -2088. 5 Calculate 10 divided by -83. -10/83 Divide -17 by 19. -17/19 What is 1 divided by -248? -1/248 1215 divided by 405 3 1948 divided by -487 -4 Calculate -880 divided by 5. -176 What is -4386 divided by -4? 2193/2 -596 divided by 1 -596 -6 divided by -401 6/401 -1195 divided by 1195 -1 Divide 536 by 4. 134 Divide 37206 by -2. -18603 Divide 2600 by -5. -520 Divide -1719 by -1. 1719 -4 divided by 4715 -4/4715 Divide 560 by 7. 80 What is -270 divided by 4? -135/2 -44 divided by -1 44 What is 1381 divided by 1? 1381 -2758 divided by 7 -394 Calcula
{ "pile_set_name": "DM Mathematics" }
at -2*u**2/7 + 446472*u/7 - 1785856/7 = 0. 4, 223232 Find d such that -d**3 - 417*d**2 - 4484*d - 7308 = 0. -406, -9, -2 Suppose 3*w**2/4 + 4305*w/4 - 1077 = 0. Calculate w. -1436, 1 What is q in -2*q**4/7 - 4*q**3/7 + 624*q**2/7 + 4672*q/7 + 1280 = 0? -14, -4, 20 Factor 4*m**3 + 305176*m**2 - 1525980*m. 4*m*(m - 5)*(m + 76299) Solve -2*l**2/5 + 704720*l - 310393924000 = 0. 880900 Determine q so that -5*q**5 - 830*q**4 + 4230*q**3 - 7660*q**2 + 5975*q - 1710 = 0. -171, 1, 2 Factor -v**2/5 - 48244*v/5 - 581870884/5. -(v + 24122)**2/5 Solve 5*b**3/4 - 1071*b**2/4 + 22179*b/4 - 4393/4 = 0. 1/5, 23, 191 Determine l, given that -l**2 + 652250*l - 106357515625 = 0. 326125 Factor -5*c**4 + 45*c**3 + 230*c**2 - 1320*c. -5*c*(c - 11)*(c - 4)*(c + 6) Let 22*x**3 + 7914*x**2 - 2188*x - 10080 = 0. Calculate x. -360, -1, 14/11 What is q in 2*q**3 - 6268*q**2 - 6270*q = 0? -1, 0, 3135 Factor w**4/4 + 709*w**3/2 + 499833*w**2/4 - 505521*w. w*(w - 4)*(w + 711)**2/4 Factor 2*l**2/17 + 91084*l/17 - 5358. 2*(l - 1)*(l + 45543)/17 Determine t, given that -5*t**4/6 - 13875*t**3 + 1463000*t**2 - 153829375*t/3 + 1197284375/2 = 0. -16755, 35 Factor -3*t**3/4 - 657*t**2/4 + 21735*t/4 - 168075/4. -3*(t - 15)**2*(t + 249)/4 Determine w so that w**2/6 + 13723*w + 564962187/2 = 0. -41169 Determine o, given that 3*o**3/7 - 1233*o**2/7 + 162360*o/7 - 6697104/7 = 0. 83, 164 Let 3*a**2/7 - 56580*a/7 + 266774700/7 = 0. What is a? 9430 Suppose -h**5 + 53*h**4 + 229*h**3 - 41*h**2 - 900*h - 684 = 0. Calculate h. -3, -2, -1, 2, 57 What is n in n**3/4 - 189*n**2/4 + 6623*n/4 - 6435/4 = 0? 1, 45, 143 Factor -75*u**2 + 67190*u + 8960. -5*(u - 896)*(15*u + 2) Factor -4*a**2 - 800*a + 17600. -4*(a - 20)*(a + 220) Factor -k**3 + 28*k**2 + 581*k - 1968. -(k - 41)*(k - 3)*(k + 16) Let d**2 - 961 = 0. What is d? -31, 31 Determine k so that -4*k**5/7 + 3480*k**4/7 + 24536*k**3/7 + 17664*k**2/7 - 108628*k/7 - 105240/7 = 0. -5, -3, -1, 2, 877 Factor -2*f**4/3 - 6*f**3 - 4*f**2 + 32*f/3. -2*f*(f - 1)*(f + 2)*(f + 8)/3 Solve 5*z**3 - 4660*z**2 - 470585*z - 465920 = 0. -91, -1, 1024 Let 2*g**4/9 + 22*g**3/3 - 5054*g**2/9 + 2654*g - 3124 = 0. Calculate g. -71, 2, 3, 33 Factor -2*n**4/9 + 2474*n**3/9 + 4954*n**2/9 + 826*n/3. -2*n*(n - 1239)*(n + 1)**2/9 Suppose a**4/2 + 81*a**3/2 - 534*a**2 + 2200*a - 2976 = 0. Calculate a. -93, 4 What is n in n**2 - 23200*n = 0? 0, 23200 Determine y, given that 34*y**3/3 - 22544*y**2/9 + 22882*y/9 - 440/9 = 0. 1/51, 1, 220 Let 4*n**5/5 - 12*n**4/5 - 72*n**3/5 + 344*n**2/5 - 444*n/5 + 36 = 0. Calculate n. -5, 1, 3 Suppose 2*l**4/13 + 1726*l**3/13 - 30036*l**2/13 - 102160*l/13 - 70400/13 = 0. Calculate l. -880, -2, -1, 20 Determine f so that 2*f**3/7 - 7244*f**2/7 + 144080*f/7 = 0. 0, 20, 3602 Factor -a**4/10 + 39*a**3/5 - 126*a**2 + 580*a. -a*(a - 58)*(a - 10)**2/10 Suppose -2*w**3/15 - 2670*w**2 - 26698*w/5 - 40046/15 = 0. Calculate w. -20023, -1 Factor 2*g**4 + 13508*g**3 + 21843098*g**2 - 3259345320*g + 116441728200. 2*(g - 70)**2*(g + 3447)**2 Factor -r**4/8 - 2281*r**3/8 - 1252719*r**2/8 + 55264761*r/8. -r*(r - 41)*(r + 1161)**2/8 Factor 2*d**2 - 1402*d - 84784. 2*(d - 757)*(d + 56) Factor -2*q**2/5 + 6*q + 4028/5. -2*(q - 53)*(q + 38)/5 Factor -2*j**4 - 120*j**3 - 832*j**2. -2*j**2*(j + 8)*(j + 52) Find z such that -z**5/7 + 296*z**4/7 - 563*z**3/7 - 7400*z**2/7 + 2100*z = 0. -5, 0, 2, 5, 294 Factor 305*d**2/2 + 86011*d + 564. (d + 564)*(305*d + 2)/2 Suppose 4*t**5 + 96*t**4 - 320*t**3 + 120*t**2 + 316*t - 216 = 0. What is t? -27, -1, 1, 2 Let 12*s**2 - 2759840*s + 1839888 = 0. What is s? 2/3, 229986 Factor -9*m**3 - 1957*m**2 + 7088*m + 3536. -(m - 4)*(m + 221)*(9*m + 4) Find p such that p**4/2 - 17*p**3/2 - 632*p**2 - 5504*p + 6144 = 0. -16, 1, 48 Factor -2*l**4 - 52*l**3 - 218*l**2 + 1848*l + 10584. -2*(l - 6)*(l + 7)**2*(l + 18) Suppose p**3 + 2925*p**2 - 4*p - 11700 = 0. What is p? -2925, -2, 2 Determine b so that 18*b**3 + 9357*b**2 + 108168*b - 18288 = 0. -508, -12, 1/6 Find z, given that -4*z**5/5 - 1648*z**4/5 + 78156*z**3/5 - 954072*z**2/5 + 1608768*z/5 = 0. -456, 0, 2, 21 Factor -2*m**3/9 + 9844*m**2/9 - 12132706*m/9 + 48373448/9. -2*(m - 2459)**2*(m - 4)/9 Factor 3*w**3/7 + 141264*w**2/7 + 237545505*w - 3326202150/7. 3*(w - 2)*(w + 23545)**2/7 Factor -67*m**3/3 - 649*m**2 - 664*m - 112/3. -(m + 1)*(m + 28)*(67*m + 4)/3 Determine o so that o**3 - 225*o**2 + 218*o + 1344 = 0. -2, 3, 224 Factor -350*c**2 + 1011*c + 117. -(c - 3)*(350*c + 39) Determine o so that -343*o**5/3 - 128870*o**4/3 - 30541*o**3 + 94772*o**2/3 + 102064*o/3 + 8000 = 0. -375, -4/7, 1 Find f such that -f**5/4 - f**4/2 + 377*f**3/4 - 865*f**2/2 - 1957*f - 1430 = 0. -22, -2, -1, 10, 13 Determine p, given that 5*p**5 + 295*p**4 + 3735*p**3 - 23095*p**2 - 134540*p = 0. -31, -4, 0, 7 Factor 55*a**3 - 3985*a**2 - 2190*a. 5*a*(a - 73)*(11*a + 6) Factor 5*q**4 - 115*q**3 - 5*q**2 + 115*q. 5*q*(q - 23)*(q - 1)*(q + 1) Find o such that 4*o**4/9 + 88*o**3/9 + 640*o**2/9 + 512*o/3 = 0. -8, -6, 0 Solve 2*i**2/7 + 16*i - 114/7 = 0 for i. -57, 1 Determine h so that -36*h**2 - 812*h/3 - 328 = 0. -6, -41/27 Solve i**2/2 + 112*i - 225/2 = 0 for i. -225, 1 Determine t, given that -9*t**5 - 9192*t**4 - 39702*t**3 - 39672*t**2 - 9153*t = 0. -1017, -3, -1, -1/3, 0 Let -a**2/3 - 104903*a/3 - 69934 = 0. What is a? -104901, -2 Let -8*y**4/3 + 451*y**3 + 407*y**2 - 5240*y/3 - 1700 = 0. What is y? -15/8, -1, 2, 170 Determine u so that -3*u**4 - 3831*u**3 + 50274*u**2 - 46440*u = 0. -1290, 0, 1, 12 Determine l, given that -69*l**2/5 + 1011*l/5 + 4158/5 = 0. -77/23, 18 Let -5330*j**5 + 122605*j**4 - 762535*j**3 + 647075*j**2 - 1815*j = 0. Calculate j. 0, 3/1066, 1, 11 Find z such that -2*z**3/11 - 4318*z**2/11 + 17296*z/11 - 17304/11 = 0. -2163, 2 Find g such that -4*g**3 + 176*g**2 - 756*g - 29160 = 0. -10, 27 Solve -y**2/5 - 14104*y/5 - 98679/5 = 0 for y. -14097, -7 Determine m, given that -6*m**3/7 + 2152*m**2/7 + 53576*m/7 - 36672/7 = 0. -24, 2/3, 382 Let -4*t**5/5 - 21*t**4/5 + 11*t**3 + 39*t**2 - 171*t/5 - 54/5 = 0. What is t? -6, -3, -1/4, 1, 3 Determine u, given that 2*u**3/3 - 74186*u**2/3 + 741710*u/3 - 618050 = 0. 5, 37083 What is a in 3*a**5 + 16021*a**4 + 53371*a**3 + 5331*a**2 - 32022*a = 0? -5337, -3, -1, 0, 2/3 Determine c so that 3*c**5 + 1971*c**4 + 5886*c**3 - 12*c**2 - 7848*c = 0. -654, -2, 0, 1 Find d such that d**5/6 + 71*d**4/2 + 4856*d**3/3 - 1726*d**2 - 9928*d/3 = 0. -146, -68, -1, 0, 2 Determine z, given that -60*z**5 - 3176*z**4 + 27076*z**3 + 99376*z**2 + 73200*z + 14400 = 0. -60, -2, -3/5, -1/3, 10 Suppose -2*c**3/5 + 298*c**2/5 - 4856*c/5 - 2184 = 0. Calculate c. -2, 21, 130 What is f in f**4 - 1447*f**3 + 292146*f**2 - 16119828*f + 15829128 = 0? 1, 114, 1218 Determine t so that -t**3 + 2884*t**2 - 2076477*t - 4164498 = 0. -2, 1443 Let 2*w**4/3 + 196*w**3/3 - 202*w**2 + 8*w/3 + 808/3 = 0. Calculate w. -101, -1, 2 Let -2*y**2/17 + 207104*y/17 - 5361508352/17 = 0. Calculate y. 51776 Factor -2*u**3 - 124*u**2 + 254*u - 128. -2*(u - 1)**2*(u + 64) Suppose 3*p**2/2 + 10956*p - 175680 = 0. Calculate p. -7320, 16 Factor -4*q**5 + 48*q**4 + 168*q**3 - 3920*q**2 + 12348*q. -4*q*(q - 7)**3*(q + 9) Factor 3*w**3 + 351*w**2 + 8106*w - 61920. 3*(w - 6)*(w + 43)*(w + 80) Find w, given that 3*w**5/5 + 721*w**4/5 + 30021*w**3/5 - 263649*w**2/5 + 479768*w/5 + 38064 = 0. -183, -65, -1/3, 4 Suppose -4*w**5/7 + 3260*w**4/7 - 82252*w**3/7 + 154740*w**2/7 - 75744*w/7 = 0. Calculate w. 0, 1, 24, 789 Factor -2*p**2 + 35924*p + 35926. -2*(p - 17963)*(p + 1) Factor -v**2/8 + 2669*v/4 - 227685/8. -(v - 5295)*(v - 43)/8 What is r in 5*r**5 - 310*r**4 + 3790*r**3 - 12260*r**2 - 10515*r + 63450 = 0? -2, 3, 5, 9, 47 Let 2*x**4 - 52*x**3 - 294*x**2 - 488*x - 248 = 0. Calculate x. -2, -1, 31 Find r, given that r**2/5 - 278*r/5 - 1192 = 0. -20, 298 Let -4*o**3 + 24896*o**2 + 950380*o + 9042328 = 0. What is o? -19, 6262 Solve 5*z**2 - 2966800*z + 440095112000 = 0. 296680 Find m, given that 4*m**2 + 199300*m + 199296 = 0. -49824, -1 Let 3*a**3 - 102*a**2 - 1872*a - 6912 = 0. What is a? -8, -6, 48 Factor -m**3 - 246*m**2 - 968*m. -m*(m + 4)*(m + 242) Determine l, given that 2*l**4 - 4234*l**3 + 2234480*l**2 + 6741600*l = 0. -3, 0, 1060 Let 4*t**2 - 18028*t + 376824 = 0. What is t? 21, 4486 Factor -3*u**3 - 12
{ "pile_set_name": "DM Mathematics" }
1? 61 Calculate the remainder when 15278 is divided by 54. 50 Calculate the remainder when 10488 is divided by 49. 2 Calculate the remainder when 26191 is divided by 8719. 34 Calculate the remainder when 24746 is divided by 55. 51 Calculate the remainder when 11158 is divided by 607. 232 What is the remainder when 1105873 is divided by 125? 123 What is the remainder when 13678 is divided by 1951? 21 What is the remainder when 2791 is divided by 40? 31 Calculate the remainder when 2661 is divided by 7. 1 Calculate the remainder when 1040 is divided by 437. 166 Calculate the remainder when 20829 is divided by 274. 5 Calculate the remainder when 2016 is divided by 498. 24 What is the remainder when 49847 is divided by 6229? 15 What is the remainder when 4399 is divided by 407? 329 What is the remainder when 209637 is divided by 68? 61 What is the remainder when 947 is divided by 622? 325 What is the remainder when 4885 is divided by 384? 277 Calculate the remainder when 73117 is divided by 94. 79 What is the remainder when 307680 is divided by 9? 6 What is the remainder when 8192 is divided by 122? 18 What is the remainder when 2955 is divided by 76? 67 What is the remainder when 54877 is divided by 343? 340 What is the remainder when 13798 is divided by 29? 23 Calculate the remainder when 64590 is divided by 85. 75 Calculate the remainder when 273080 is divided by 401. 400 What is the remainder when 1300 is divided by 21? 19 What is the remainder when 137374 is divided by 318? 316 Calculate the remainder when 15292 is divided by 31. 9 What is the remainder when 175939 is divided by 312? 283 What is the remainder when 1409 is divided by 77? 23 What is the remainder when 4318 is divided by 126? 34 Calculate the remainder when 46792 is divided by 37. 24 What is the remainder when 363817 is divided by 27? 19 What is the remainder when 245750 is divided by 40? 30 What is the remainder when 2133 is divided by 770? 593 Calculate the remainder when 2517 is divided by 464. 197 What is the remainder when 426014 is divided by 45? 44 Calculate the remainder when 14482 is divided by 2042. 188 Calculate the remainder when 3137 is divided by 713. 285 What is the remainder when 11098 is divided by 60? 58 What is the remainder when 287631 is divided by 549? 504 What is the remainder when 477 is divided by 185? 107 Calculate the remainder when 9800 is divided by 27. 26 Calculate the remainder when 13524 is divided by 195. 69 What is the remainder when 1516 is divided by 442? 190 What is the remainder when 20457 is divided by 852? 9 Calculate the remainder when 6567 is divided by 1491. 603 What is the remainder when 106810 is divided by 92? 90 Calculate the remainder when 27195 is divided by 400. 395 What is the remainder when 820 is divided by 768? 52 Calculate the remainder when 7041 is divided by 281. 16 Calculate the remainder when 857624 is divided by 162. 158 Calculate the remainder when 426 is divided by 334. 92 Calculate the remainder when 15000 is divided by 1363. 7 Calculate the remainder when 1013 is divided by 301. 110 Calculate the remainder when 712 is divided by 52. 36 What is the remainder when 2518 is divided by 109? 11 What is the remainder when 18559 is divided by 2811? 1693 Calculate the remainder when 68088 is divided by 987. 972 Calculate the remainder when 62012 is divided by 64. 60 Calculate the remainder when 4449 is divided by 1286. 591 Calculate the remainder when 2783727 is divided by 28. 23 What is the remainder when 113511 is divided by 74? 69 Calculate the remainder when 25375 is divided by 8454. 13 What is the remainder when 1240 is divided by 547? 146 What is the remainder when 324241 is divided by 1297? 1288 Calculate the remainder when 972879 is divided by 168. 159 What is the remainder when 16983 is divided by 20? 3 What is the remainder when 1443 is divided by 179? 11 What is the remainder when 48864 is divided by 698? 4 What is the remainder when 499349 is divided by 15? 14 Calculate the remainder when 4327 is divided by 28. 15 Calculate the remainder when 802277 is divided by 124. 121 Calculate the remainder when 66883 is divided by 16718. 11 Calculate the remainder when 28151 is divided by 132. 35 What is the remainder when 2967 is divided by 377? 328 Calculate the remainder when 20962 is divided by 159. 133 What is the remainder when 4915 is divided by 2436? 43 What is the remainder when 58409 is divided by 508? 497 Calculate the remainder when 85373 is divided by 23. 20 What is the remainder when 34274 is divided by 418? 416 What is the remainder when 591916 is divided by 140? 136 What is the remainder when 46441 is divided by 6628? 45 What is the remainder when 5647 is divided by 281? 27 What is the remainder when 15180 is divided by 3791? 16 What is the remainder when 504 is divided by 30? 24 What is the remainder when 103055 is divided by 14705? 120 What is the remainder when 11911 is divided by 70? 11 What is the remainder when 97734 is divided by 1303? 9 What is the remainder when 14062 is divided by 270? 22 Calculate the remainder when 222450 is divided by 103. 73 What is the remainder when 203 is divided by 68? 67 What is the remainder when 67666 is divided by 22537? 55 What is the remainder when 4137 is divided by 62? 45 What is the remainder when 668863 is divided by 26754? 13 Calculate the remainder when 568155 is divided by 189381. 12 What is the remainder when 18903 is divided by 9? 3 Calculate the remainder when 110460 is divided by 3682. 0 Calculate the remainder when 219322 is divided by 105. 82 Calculate the remainder when 1414 is divided by 159. 142 Calculate the remainder when 88485 is divided by 3403. 7 What is the remainder when 32032 is divided by 83? 77 What is the remainder when 11705 is divided by 404? 393 What is the remainder when 684699 is divided by 684697? 2 Calculate the remainder when 196037 is divided by 3564. 17 Calculate the remainder when 8682 is divided by 2125. 182 What is the remainder when 8599 is divided by 36? 31 Calculate the remainder when 858296 is divided by 101. 99 Calculate the remainder when 808 is divided by 522. 286 Calculate the remainder when 7505 is divided by 509. 379 What is the remainder when 198089 is divided by 639? 638 What is the remainder when 256318 is divided by 20? 18 Calculate the remainder when 5581 is divided by 126. 37 Calculate the remainder when 219864 is divided by 54962. 16 What is the remainder when 116469 is divided by 5? 4 What is the remainder when 8322 is divided by 832? 2 Calculate the remainder when 1147081 is divided by 5. 1 What is the remainder when 249847 is divided by 249831? 16 Calculate the remainder when 10620 is divided by 125. 120 Calculate the remainder when 1875 is divided by 1852. 23 What is the remainder when 104258 is divided by 37? 29 What is the remainder when 195422 is divided by 99? 95 What is the remainder when 454693 is divided by 322? 29 Calculate the remainder when 5534 is divided by 216. 134 What is the remainder when 600303 is divided by 71? 69 Calculate the remainder when 13914 is divided by 13. 4 Calculate the remainder when 8411 is divided by 156. 143 What is the remainder when 52577 is divided by 344? 289 Calculate the remainder when 706 is divided by 73. 49 What is the remainder when 4469 is divided by 156? 101 What is the remainder when 111838 is divided by 160? 158 What is the remainder when 7826 is divided by 54? 50 Calculate the remainder when 3147 is divided by 10. 7 What is the remainder when 42303 is divided by 32? 31 What is the remainder when 9856 is divided by 32? 0 Calculate the remainder when 5885 is divided by 734. 13 Calculate the remainder when 221494 is divided by 31. 30 What is the remainder when 2664463 is divided by 22? 21 Calculate the remainder when 15026 is divided by 64. 50 What is the remainder when 100187 is divided by 58? 21 Calculate the remainder when 28126 is divided by 2005. 56 Calculate the remainder when 85 is divided by 31. 23 What is the remainder when 348 is divided by 51? 42 Calculate the remainder when 40905 is divided by 54. 27 Calculate the remainder when 125633 is divided by 40. 33 Calculate the remainder when 2055 is divided by 8. 7 Calculate the remainder when 913172 is
{ "pile_set_name": "DM Mathematics" }
j = n - -107. Round j to 4 dps. 0.006 Let b = -6.79962368 - -6.229623419. Let n = 0.57 + b. Round n to seven decimal places. -0.0000003 Let q = 114493355 + -114488339.7761. Let n = -5015 + q. Round n to two dps. 0.22 Let z = 0.696 - 0.63. Let t = 155.48 - 157.506. Let m = z + t. What is m rounded to 1 decimal place? -2 Let c = 305 - 80. Let i = -44 + c. Let n = -169.1 + i. Round n to the nearest integer. 12 Let b = 2.12 - -133.88. Let z = 1.354267 - 137.353517. Let s = b + z. Round s to four decimal places. 0.0008 Let m = -2388 + 3485. Let n = 1096.999996972 - m. Round n to seven dps. -0.000003 Let s = -627.7 + 672. Let q = 44.2005 - s. Let u = 0.1 + q. Round u to 3 dps. 0.001 Let v = -602 - -605. Suppose b - 2*q + 3*q = -578, -v*q - 2894 = 5*b. Round b to the nearest one hundred. -600 Let t = 14.802 - 14.2067. What is t rounded to 1 dp? 0.6 Let l(x) = -12157*x**2 - 11*x - 36. Let j(d) = 24314*d**2 + 22*d + 71. Let k(v) = -4*j(v) - 9*l(v). Let b be k(-8). Round b to the nearest ten thousand. 780000 Let x = 49.5 - 0.5. Let f = x - 49.008. Let n = 0.00800058 + f. What is n rounded to 7 dps? 0.0000006 Let u = 327982 - 231552. Round u to the nearest 10000. 100000 Let p = -69 - -39. Let i = p + 29.967. Let z = i + 0.03. Round z to three dps. -0.003 Let q = -0.3666 - -0.36651088. Round q to four decimal places. -0.0001 Let d = 2.3 - 144.3. Let q = 141.9932 + d. What is q rounded to three dps? -0.007 Let f = -24.02023 + -0.35257. Let a = f - -46.37283. Let z = 22 - a. What is z rounded to 5 decimal places? -0.00003 Let n(m) = 585*m**3 - 5850*m**3 - 41*m - 2608*m**3 + 44*m - 6 + 8*m**2. Let s be n(-6). Suppose s = 3*y - 849168. Round y to the nearest one hundred thousand. 900000 Let i = 1018.9758 + -1019. Let m = -0.0241691 - i. What is m rounded to 6 dps? 0.000031 Let x(m) be the third derivative of -11/3*m**3 + 0 + 1/24*m**4 - 62037/5*m**5 + 0*m - 20*m**2. Let w be x(6). Round w to the nearest one million. -27000000 Let u = -1.62 - -130.62. Let i = 129.207 - u. What is i rounded to two decimal places? 0.21 Let x(s) be the third derivative of -s**6/120 - s**4/24 - 5000*s**3/3 - s**2. Let t = 525 - 525. Let w be x(t). What is w rounded to the nearest ten thousand? -10000 Let q = 33.001 - 33.001024375. Round q to five dps. -0.00002 Let n(v) = v**2 + 16*v + 99. Let b be n(-9). Let d be (-18 + -160)*b/8. Round d to the nearest ten. -800 Let o = 146.549625 - 0.028625. What is o rounded to the nearest integer? 147 Let f = 308.07 + -30.87. Let c = f - 276. What is c rounded to 0 decimal places? 1 Let p = -0.491 + 282.491. Let u = -163.6 + p. Round u to the nearest 10. 120 Let q = -1460.915 + 1466. Let b = q - 5.6. What is b rounded to one dp? -0.5 Let m(g) = 15*g + 111. Let s be m(-7). Suppose 7*w = s*w - 20000. What is w rounded to the nearest 1000000? 0 Suppose -2*p - 190 = 3*v, -5*p + 3*v + v = 452. Let q be (p - (0 + -3))*395883. Let r = q - -69833587. What is r rounded to the nearest one million? 35000000 Let v = 5.15 - 5.7. Let w = v - -0.458. Let n = w - -0.0842. What is n rounded to three decimal places? -0.008 Let o = -1546.999635 + 1547. Round o to four decimal places. 0.0004 Let w = -358 - -358.1108. Let h = w + -0.110153. What is h rounded to 4 decimal places? 0.0006 Let f = 7058.3 - 7058.300125308. Round f to five dps. -0.00013 Let b = -94257.1 - -89668. Round b to the nearest one hundred. -4600 Let h = 39981.9902 - 39986. What is h rounded to two dps? -4.01 Let d(m) = -11*m**2 - 27*m - 70. Let i(k) = -2*k**2 - 3*k + 1. Let v(g) = -d(g) - 2*i(g). Let r be v(-11). What is r rounded to the nearest 1000? 2000 Let f(g) = 24975*g**2 - 65*g - 690. Let n be f(-11). Round n to the nearest 1000000. 3000000 Let j be 12/(-6)*19/(76/(-482920)). Round j to the nearest ten thousand. 240000 Let g = 1954113 + -3897213. Round g to the nearest ten thousand. -1940000 Let p = 460 - 182. Let k = -278.231 + p. Let s = k - -0.2310147. What is s rounded to six dps? 0.000015 Let n = 9843151 + -4085151. Round n to the nearest 1000000. 6000000 Suppose 8*t + 14*t = 10*t - 10832400. Round t to the nearest 100000. -900000 Let v(h) = -1. Let a(u) = 1642858*u - 4. Let y(c) = 2*c + 6. Let k be y(2). Let p(n) = k*v(n) - a(n). Let d be p(-7). Round d to the nearest one million. 12000000 Let j = 143116.0135151 - 143116. What is j rounded to four dps? 0.0135 Let a be (-825)/1100 - ((356787/12 - 1) + -2). What is a rounded to the nearest 10000? -30000 Let q = 17 + -19.4. Let s = 1038.65 + -1041. Let z = q - s. What is z rounded to one dp? -0.1 Let o = 126841.51397 - 126841. What is o rounded to 3 dps? 0.514 Let n = 126 + -171. Let h = -45.000732 - n. What is h rounded to five dps? -0.00073 Let k(w) = w**2 + 9*w + 12. Let t be k(-8). Suppose -6*v + 20 = -t. Let i be v*(-669)/(-6)*5. What is i rounded to the nearest one hundred? 2200 Let q = -235506 + 254455.3. What is q rounded to the nearest one thousand? 19000 Let y = 436 - 438.23. Let d = 2.23000186 + y. What is d rounded to 7 dps? 0.0000019 Let i be 16810*((-4)/8)/((-7)/322). Round i to the nearest one hundred thousand. 400000 Let f = -0.155954 + 0.12857. What is f rounded to four decimal places? -0.0274 Let g = -32343 - -32343.0014263. Round g to five decimal places. 0.00143 Let a(y) = 2*y**3 - y**2 - 5*y + 5. Let m be a(2). Suppose 2*p = m - 3. Suppose -i + 5*i + 126 = -3*l, p*i - 4*l = -52. What is i rounded to the nearest 100? 0 Let x be 3/(-8) + (-98061324621)/4744. What is x rounded to the nearest one hundred thousand? -20700000 Let z = -3.63 - 1.02. Let a = 38.75 + z. Let i = 33.901 - a. Round i to 2 decimal places. -0.2 Let z(g) = -g**3 - 10*g**2 - 6*g - 22. Let u be z(-10). Suppose 6088316 = -u*v + 2977688316. What is v rounded to the nearest one million? 78000000 Let y = -0.0642504 - -285.7932504. Let p = y + -286. Round p to one decimal place. -0.3 Let j be (64/(-12))/(71132/23712 - 3). Suppose 3*c + j = -174130. Let p = 23482 + c. Round p to the nearest 10000. -50000 Let z = -14 - -17. Let p be z - 4*4/(-32)*-2. Suppose w - 1 = 0, -f = -p*w - 3*w + 68. What is f rounded to the nearest ten? -60 Let j = -2021534 - -3063731. Suppose 14257783 + j = 5*m - 5*o, 5*m - o - 15299996 = 0. Round m to the nearest 100000. 3100000 Let j(x) = -x**3 + 7*x**2 + 16*x + 21. Let n be j(9). Suppose 4*z - 68 = n*c - 14, -13 = c - 3*z. Let d = 60 - c. Round d to the nearest one hundred. 100 Let j(h) be the second derivative of -77*h**4/3 - 3*h**3/2 + 29*h**2/2 + 36*h - 2. Let k be j(4). What is k rounded to the nearest 100? -4900 Let c = 1.95899 + -0.07259. Round c to the nearest integer. 2 Let r = -148 - -211. Let h = -75 + r. Let t be (h/3)/1 + 10900004. Round t to the nearest 1000000. 11000000 Let j(q) = 3 + 14526*q**2 - q + 4733*q**2 + 9. Suppose -16*b - 2*i = -14*b + 28, -b = 3*i + 24. Let a be j(b). What is a rounded to the nearest 100000? 1600000 Let b = 85 + -83. Let o be b/(-3)*(-187401)/(-2). Let s = o + 41367. What is s rounded to the nearest ten thousand? -20000 Suppose -78711859 - 4590836 = -7*h. Let t = 8399615 + h. What is t rounded to the nearest one million? 20000000 Let q = 6371 - 6370.9952729. Round q to four decimal places. 0.0047 Let s = 8761.77 - 8618. Let d = 143 - s. Round d to one decimal place. -0.8 Let x = 1.174333 - -18.829607. Let w = 19.84 - -0.16. Let z = x - w. What is z rounded to 3 dps? 0.004 Let r = 30133 - 15827. Let q = -14306.43265 + r. Let m = 0.44 + q. What is m rounded to 3 dps? 0.007 Let z = 10733.0022285 + -10733. Round z to five decimal places. 0.00223 Let b = -105285 + 37571. Let w be (-12)/8 - (-3)/(12/b). What is w rounded to the nearest 1000? -17000 Let s(z) = 544*z**2 + 6*z + 61. Let k be s(-5). Let u = -4081 + k. What is u rounded to the nearest one thousand? 10000 Let w be (0 - 0)/6 + -18. Let r be 2/9 + 118620004/w. What is r rounded to the nearest 1000000? -7000000 Let k = 6024.4 + 150.8. What is k rounded to the nearest ten? 6180 Let u(b) = -17*b - 24. Let m be u(-3). Suppose 0 = -7*v + 43 + m. Suppose v*w = 8*w - 3640000. Round w to the nearest 100000. -1800000 Suppose -11*u + 136 = -29. Suppose 4*v - u = -3*r - 49, 0 = -v - 5*r - 17. Let i be 5 - v/((-35)/3300025). What is i rounded to the nearest 100000? -700000 Let o = 116455358 - 7973023. Suppose 0 = 21*c + o + 24447665. What
{ "pile_set_name": "DM Mathematics" }
+ 3 wrt m. 18*d**2*m + 76*d**2 - 40*d What is the third derivative of 4169*t**3 - 1617*t**2 + t? 25014 What is the second derivative of 8*w**3*x**2 + 5*w**3 + 23*x wrt x? 16*w**3 What is the derivative of x**3 - 175*x - 540 wrt x? 3*x**2 - 175 Find the second derivative of 243*u**4 - 640*u + 2. 2916*u**2 What is the third derivative of 278*g*p**3 + 2*g*p**2 - 258*p**2 + 2 wrt p? 1668*g What is the second derivative of 64*j**5 + j - 2? 1280*j**3 Find the second derivative of j**4 - 1668*j**2 - 23*j - 163 wrt j. 12*j**2 - 3336 What is the third derivative of -3*f**6 + 396*f**3 - 11*f**2 + 5*f + 9? -360*f**3 + 2376 What is the second derivative of -43*f**2 + 6*f? -86 What is the first derivative of 646*d**2*s + 521*d**2 wrt s? 646*d**2 What is the third derivative of 11594*w**4 - 237*w**2 + 3*w wrt w? 278256*w What is the first derivative of j**2*q**2 + 166*j**2 + 24*q**2 + 13*q wrt q? 2*j**2*q + 48*q + 13 Find the second derivative of 39*j**4*m**2 - 2*j**3*m**2 + 5*j*m**2 + 2*j - 23*m**2 wrt j. 468*j**2*m**2 - 12*j*m**2 Find the second derivative of 10372*b**2*n - 88*b*n - 2*b - 3*n wrt b. 20744*n Differentiate 5*a**2*f*h**2 + 34*a**2*f*h + a**2*h**2 + 135*a**2*h + 2*h**2 with respect to f. 5*a**2*h**2 + 34*a**2*h Differentiate -2*k**4*w - 44*k**4 - 5*w + 2 wrt k. -8*k**3*w - 176*k**3 What is the second derivative of 2896*k**5 + k + 4568? 57920*k**3 What is the third derivative of -5702*c**3*o**2 - c**3 - 6*c**2*o**2 - 2*c**2*o - 32*c - 7*o**2 wrt c? -34212*o**2 - 6 What is the second derivative of 100*h**5 - 2*h**4 - h - 8? 2000*h**3 - 24*h**2 Find the third derivative of -q**3*y**3 - 6*q**3*y**2 + q**3 + 1012*q**2*y**4 - 39*y wrt y. -6*q**3 + 24288*q**2*y Find the first derivative of 4090*q - 3002. 4090 Find the third derivative of -98*r**6 - r**3*s**2 + r**3*s + 7*r**2*s**2 + 2*r*s**2 - 6 wrt r. -11760*r**3 - 6*s**2 + 6*s Differentiate -4679*d**2 + 2*d - 4260 with respect to d. -9358*d + 2 Find the second derivative of -65*h**2 - 7*h - 8. -130 Find the third derivative of -818*w**3 - 14*w**2 + 46. -4908 What is the third derivative of -d*x**3 + 41*d + 4*x**4 - 76*x**3 - 10*x**2 wrt x? -6*d + 96*x - 456 What is the third derivative of 201*g**4 + 180*g**2 wrt g? 4824*g Find the first derivative of 3775*w - 5327. 3775 What is the second derivative of -6*a**4*d**3 - 16*a**4*d**2 + a*d**3 - 4*a*d**2 + 9*a*d wrt a? -72*a**2*d**3 - 192*a**2*d**2 Find the second derivative of -8*j**3*v**2*y + j**3*y + 49*j**3 + 10*j**2*v**2*y + j*v*y + 7*j*v + v**2 wrt v. -16*j**3*y + 20*j**2*y + 2 Find the first derivative of -3040*k**3 + 7546. -9120*k**2 What is the second derivative of -87*i**4*k + 3*i**2*k**2 + i*k**2 - 34*i - 5 wrt i? -1044*i**2*k + 6*k**2 Find the third derivative of -21*g**6*x*z**2 - 3*g**6*x - 4*g**2*x*z**2 - x + 4*z**2 wrt g. -2520*g**3*x*z**2 - 360*g**3*x Find the second derivative of 2*d**5*m - 8*d**3*m**2 + d + 9*m**2 + 8 wrt d. 40*d**3*m - 48*d*m**2 Find the second derivative of -2352*g**4 + 4248*g. -28224*g**2 Find the second derivative of -2*a**3*j**2 + 302*a**2*j**3 - 6354*a*j**2 + j**3 wrt a. -12*a*j**2 + 604*j**3 Differentiate -179*b - 172 wrt b. -179 Find the first derivative of -170*k*n*p + 3*k*p - 29*n*p - 3*p - 54 wrt n. -170*k*p - 29*p Differentiate -8788*z**4 - 8041. -35152*z**3 Find the third derivative of -107*y**3 + 98*y**2 wrt y. -642 Differentiate -290*m*v - 15*m - 2*v - 1 wrt v. -290*m - 2 What is the derivative of -2*l**3*r + l**3 - 2134*l**2 - 392*l*r**4 - r**3 - 2 wrt r? -2*l**3 - 1568*l*r**3 - 3*r**2 What is the third derivative of -470*d**3*l**2 + d**2*l**2 + 2*d*l**2 wrt d? -2820*l**2 What is the first derivative of 173*m*y - 5811*m + 3*y wrt y? 173*m + 3 Find the third derivative of 6*i**3*z**3 + 5*i**3*z - i**2*z**2 + i*z**4 + 8*i*z**2 - 2*z**4 wrt z. 36*i**3 + 24*i*z - 48*z What is the first derivative of -m**2*x + m**2 + 500*m*x + 3*m + 265*x wrt m? -2*m*x + 2*m + 500*x + 3 What is the second derivative of -5*d**5 - 46*d**3 + 4*d + 161 wrt d? -100*d**3 - 276*d Find the second derivative of -10*r*s*u**2 - r*u**3 + 8*r + 2*s**2*u**3 + 4*s**2 + 3*u wrt u. -20*r*s - 6*r*u + 12*s**2*u What is the third derivative of -2*i**6 - 20*i**4 - 3322*i**2? -240*i**3 - 480*i Differentiate -10*k*o*v*z - 3*k*o*v - 2*k*o - 127*k*z - k + 9*o + 3*v wrt z. -10*k*o*v - 127*k What is the second derivative of -27*c**5 - 5*c**2 - 263*c? -540*c**3 - 10 Find the third derivative of 20*k**3*m*w**3 - 9*k**3*m*w + 2*k**2*m*w**2 - 3*k**2*w**3 - 3*k**2 + 4*k*m*w**3 - 2*k*m*w**2 wrt w. 120*k**3*m - 18*k**2 + 24*k*m What is the third derivative of 120*i**3*s**4 + 1970*i**3*s**2 wrt s? 2880*i**3*s Find the second derivative of 2110*f**3 + 76*f - 16 wrt f. 12660*f Find the second derivative of -204*k**2 - 3346*k wrt k. -408 Find the third derivative of 2563*z**6 + z**2 - 217*z - 1 wrt z. 307560*z**3 Find the third derivative of 3759*t**2*v**3 + 18*t**2*v**2 + 2*t**2*v + 27*v wrt v. 22554*t**2 Differentiate -3*k**2 + 679*k - 802 with respect to k. -6*k + 679 What is the third derivative of -64*u**3*y**3 + 2*u**3*y**2 - u*y**4 + 13*u*y**3 + 397*u*y**2 wrt y? -384*u**3 - 24*u*y + 78*u Find the third derivative of 100*g**3*z**3 - 3*g**3 - 9*g**2*z**3 + 2*g**2 wrt g. 600*z**3 - 18 Find the second derivative of -5624*g**2 + 13420*g. -11248 What is the derivative of 14*c**2*t**2 - 4*c**2*w - 3*c**2 - 78*t**2*w wrt w? -4*c**2 - 78*t**2 Find the third derivative of -353*k**3*q - 3*k**2*q + 4*k**2 + 3*q wrt k. -2118*q What is the second derivative of -15*c**4 - 11*c**3 - 154*c? -180*c**2 - 66*c Find the first derivative of 770*q*u - 4*q + 7132*u wrt q. 770*u - 4 What is the second derivative of 1071*b**3 + b**2*l + 17*b*l - 22*b - 3*l wrt b? 6426*b + 2*l Differentiate 2*c*d*j*n**2 - 34*c*d*j - 2*c*d*n**2 + 2*c*d*n - 3*c*j*n**2 + 77*d*n**2 wrt j. 2*c*d*n**2 - 34*c*d - 3*c*n**2 Find the second derivative of -c**3*s*x**2 + c**3*s - 5*c**2*x - 3*c*s*x + 2*c*x**2 - 30*s*x**2 wrt x. -2*c**3*s + 4*c - 60*s What is the third derivative of -121*w**4 - 12*w**3 + 1138*w**2 - 2*w? -2904*w - 72 What is the third derivative of -12189*i**3*x**3 - 4*i**3*x - 2*i**3 + 3*i**2*p**2*x**2 + 2*i*p**2*x**3 - 4*p*x**2 wrt x? -73134*i**3 + 12*i*p**2 What is the second derivative of 183*n**5 + 77*n? 3660*n**3 Find the third derivative of -l**3*t**4 - 3*l**3*t**2 + l**3*t + 21*l**2*t**4 + 13*t**2 wrt t. -24*l**3*t + 504*l**2*t Find the second derivative of 17864*u**4 - 2*u + 8203. 214368*u**2 What is the second derivative of -105*b*w**2 + b*w*z**3 - 8*b*w*z + 3*b + 3*w**2*z**3 + 2*w**2*z**2 + w*z**2 wrt w? -210*b + 6*z**3 + 4*z**2 Find the third derivative of -31*b*k**4*o - 2*b*k**3 + 8*b*k**2*o**2 + 2*k**4*o**2 + 13*k**2*o - 2*k*o**2 - 2 wrt k. -744*b*k*o - 12*b + 48*k*o**2 What is the third derivative of 2*m**4 - 415*m**3 + 8*m**2 + 152? 48*m - 2490 Differentiate -2626*i - 2334 with respect to i. -2626 Differentiate -28958*o**4 - 26310. -115832*o**3 Find the first derivative of 117*g**2*m**2 - g**2*m*o - 2*g*m**2 - 2*m**2 + 9*m*o + 17*o wrt g. 234*g*m**2 - 2*g*m*o - 2*m**2 Find the second derivative of s**5 + 45*s**2 + 2*s - 229 wrt s. 20*s**3 + 90 Find the first derivative of 28*j*r**2 - 11*j*r - 2*j - 12*r**2 + 104 wrt j. 28*r**2 - 11*r - 2 What is the third derivative of -72*h**3*j*o**2 - 7*h**3*j - 2*h**2*j*o - 16*h**2*o**2 + 4*o**2 wrt h? -432*j*o**2 - 42*j What is the first derivative of -100*a*i**2 - 4*a - 49 wrt i? -200*a*i Find the third derivative of -2509*o**5 - 3*o**4 - 72*o**2 + 54. -150540*o**2 - 72*o What is the first derivative of 707*v**2 - 311? 1414*v Differentiate -20*n**4 - 15*n**3 - 4983 wrt n. -80*n**3 - 45*n**2 Find the second derivative of -3651*d**3 + 3003*d wrt d. -21906*d What is the second derivative of -639*r**3 - 2*r - 147 wrt r? -3834*r Find the third derivative of 4*d**6 - 40*d**3 + 6*d**2 - 39*d. 480*d**3 - 240 Find the first derivative of 358*n + 246 wrt n. 358 Find the third derivative of -5016*k**4 + 1062*k**2 - 1 wrt k. -120384*k Differentiate -6*c**2 - 2*c*j - j - 5 with respect to c. -12*c - 2*j Find the third derivative of -b**2*j**4 - b**2*j**2 + 10*b**2*j - 2533*j**4 - 2*j**2 - 278 wrt j. -24*b**2*j - 60792*j What is the first derivative of -108*a*i*r*z - 5*a*i*z + 5*a*r*z**2 - 86*a*z**2 + a*z + i*r wrt r? -108*a*i*z + 5*a*z**2 + i Fin
{ "pile_set_name": "DM Mathematics" }
)? 1 Let j = -3 + 0. Let c(x) = 5*x + 4. Let d(a) = 5*a + 4. Let s(z) = 5*c(z) - 4*d(z). Determine s(j). -11 Let r(g) = -3*g**3 - g**2 - g. Suppose -4 + 24 = 5*x. Let f(q) = q**3 - 5*q**2 + 5*q - 2. Let o be f(x). Suppose -k = -0*a + o*a, -a = -4*k + 9. What is r(a)? 3 Let t(k) = k - 8. Let p be t(7). Let i(w) = 6*w**2 - w. Give i(p). 7 Let q(n) = -4*n**2 - 6*n - 2. Let l be q(-2). Let v(f) = f**3 + 6*f**2 + 1. What is v(l)? 1 Let q(u) be the second derivative of -u**5/20 + 7*u**4/12 - 5*u**3/6 - 5*u**2/2 - 6*u. Determine q(6). 1 Suppose -4*k = -3*k + 5. Let i(a) = a**3 + 5*a**2 - a + 1. Calculate i(k). 6 Suppose 5*y + 32 = 42. Let i(k) = -4*k**2 + 4*k - 2. Determine i(y). -10 Let y(g) = -18*g**3 + 2*g**2 - 5*g + 4*g - 38 + 38. Calculate y(1). -17 Let u(j) be the second derivative of -j**5/2 + j**3/6 + j. Let o be (-2)/3*6/4. Let y be (1/(1/1))/o. Determine u(y). 9 Let h be (-2)/6 + 41/(-3). Let i be 2 + (-2)/((-4)/h). Let n(s) be the second derivative of -s**5/20 - s**4/3 + 5*s**3/6 - 7*s**2/2 - 2*s. Determine n(i). -7 Let n(j) = j**2 + 4*j - 6. Let x = 26 - 20. Let h be x*4/(16/(-4)). Determine n(h). 6 Let s(z) = -2*z**2 - 4*z + 3. Let u be -2*5/3*6/4. Determine s(u). -27 Let k = -65 + 61. Let w(s) = 3*s**2 + 7*s + 4. What is w(k)? 24 Let f(w) be the second derivative of w**4/12 + w**3/6 - 2*w**2 + 34*w + 2. Let b = 0 - -3. Determine f(b). 8 Let s(g) = g**3 - 14*g**2 + 22*g + 17. Let p be s(12). Let n(i) = -i**2 - 6*i + 1. Calculate n(p). -6 Let l = -13 - -17. Let w(o) = o**2 - 3*o - 2. What is w(l)? 2 Let u(w) = -1. Let v(m) = -m**3 - 4*m**2 + m + 6. Let r(j) = -2*u(j) - v(j). Suppose 5*z - 20 = 5*s, -4*s - 5*z - 16 = -0*z. Determine r(s). 0 Let k(j) = j**3 + j. Let i(y) = -3*y**3 + y**2 - 2*y - 1. Let u(b) = 2*i(b) + 5*k(b). Determine u(2). 0 Let n(y) be the first derivative of 2*y**2 - 2*y - 31. What is n(2)? 6 Let n(q) be the first derivative of q**3/3 - q**2/2 - 2*q - 1. Suppose 5*m - 7 = -22. What is n(m)? 10 Let z be (-6)/9 + (-4 - 33/(-9)). Let x(p) = -22*p**2 - 2*p - 1. What is x(z)? -21 Let g be -1 + (0 - (2 - -1)). Let c(v) = -v**2 - 3*v - 2. What is c(g)? -6 Let s(z) = 8*z + 3*z + 4*z**3 + 0*z + 12*z**2 - 9 - 9. Let a(n) = 3*n**3 + 8*n**2 + 7*n - 12. Let c be (1/3)/(4/60). Let x(k) = c*s(k) - 7*a(k). What is x(5)? -1 Let i = 2 - 0. Suppose 4 = -i*q + 2. Let z(o) = 2*o**3 + o**2 - 1. Determine z(q). -2 Suppose x + 18 = -2*x. Let n(h) = h**2 + 8*h + 2. Calculate n(x). -10 Let b = 56 - 86. Let v be 45/b*4/(-3). Let t(k) = 2*k**3 - 4*k**2 + k + 2. Determine t(v). 4 Let l(k) be the second derivative of -k**5/20 - k**3/6 + k**2 - k. Suppose y + 0*z - 10 = 4*z, -3*z - 6 = 0. Determine l(y). -8 Let u(z) = -z + 1. Suppose 41 = -4*n + 57. Give u(n). -3 Let k(b) = 6*b - 7. Let y(w) = -32*w + 35. Let i(z) = -11*k(z) - 2*y(z). Give i(-8). 23 Let h be ((-2)/3)/((-2)/3). Let b = 28 + -15. Let m(q) = 3*q - 19*q**2 + b*q**2 - 3*q. Determine m(h). -6 Let r(f) = f**3 - 7*f**2 + 7*f - 5. Let v be (-5 + -3)*(-6)/(-4). Let u = -6 - v. Calculate r(u). 1 Let k(x) = x**2 + 2*x**3 + 3 - 5*x**3 + 2*x**3. Let z be k(0). Suppose z*n = 4*n. Let r(m) = m + 3. Determine r(n). 3 Suppose -b + 2 = -z - 4, -z = b - 6. Suppose -2*q - 4*c + 48 = -b*q, 0 = -3*q + 2*c - 33. Let f = -4 - q. Let x(i) = i**3 - 6*i**2 + 4*i - 1. Calculate x(f). -6 Let u(p) = -9*p + 9 + 7*p + 3*p. Calculate u(-8). 1 Suppose -1 = -z + 4*v, -5*z + 5 = 3*v - v. Suppose -3*f - 4 = -4*t + z, -3*f - 3*t + 9 = 0. Let u(h) = 9*h**2 + h - 1. What is u(f)? 9 Let y(a) be the second derivative of a**8/6720 - a**7/2520 - a**6/720 - a**5/20 + a**4/3 - 2*a. Let v(q) be the third derivative of y(q). Give v(0). -6 Suppose -3*t + 3 + 3 = 0. Let f(y) = -y + 0*y**3 + 0*y**3 - 1 + 7*y**t - 4*y**2 - y**3. Let l be 2 - (-1)/1*1. What is f(l)? -4 Suppose 2*m + 3*m - 5 = 0. Let s(n) = n**3 - n**2 - n - 1. Let a(d) = 3*d**2 + 3*d + 2. Let p(i) = m*a(i) + s(i). Determine p(-1). 0 Let w(l) = -l**2 + 7*l + 11. Let g be w(9). Let n(p) = p**3 + 8*p**2 + 7*p + 5. Let v be n(g). Let j(h) = -h + 10. Calculate j(v). 5 Let i(d) = -d - 5. Let o be i(-8). Suppose 8 = o*y + 2. Let s(a) = a**3 - 5*a**3 + 3*a**y + 3*a + 3*a**3 - 3. Determine s(3). 6 Let q = -9 - -14. Let t(h) = h**2 - q + 9*h**2 + 5*h + 5*h**2 + h**3 - 8*h**2. What is t(-6)? 1 Let x(z) = -9*z**3 + 3*z**2 + z. Let m(k) = 4*k**3 - 2*k**2. Let l(d) = -7*m(d) - 3*x(d). What is l(4)? 4 Let z(u) = 3. Let n(w) = w + 4. Let x = -9 - -6. Let j(k) = x*z(k) + 2*n(k). Determine j(2). 3 Let i(j) = j**2 - 3*j + 2. Let u be i(4). Let f(d) = -d**3 + 7*d**2 - 9*d + 9. Calculate f(u). -9 Let s(n) = -n**2 - 4*n - 3. Let h be s(-2). Let j(g) = -2*g**2 + g. Let i be j(h). Let d(c) = 5*c**2 + c. Calculate d(i). 4 Let y(f) = -5*f**2 - 4*f - 6. Let s(t) = -3*t**2 - 3*t - 4. Let b(v) = 8*s(v) - 5*y(v). Give b(4). -2 Let a(x) = 2*x**3 + 2*x**2 - 2*x + 1. Suppose 5*b - 5*y = -20, 3*b + 5*y = 4*y + 8. What is a(b)? 3 Let k(t) = -t**3 + t - 3. Suppose 7*j = 5*j. Give k(j). -3 Let d(r) = 4*r. Let h(y) = y**2 + 6*y - 6. Suppose 7 = -n - 0*n. Let i be h(n). Give d(i). 4 Let y(g) = -g**2 - g + 2. Suppose -4*r = 4*p + 32, 0*p = -2*r - 4*p - 14. Let u = 6 + r. Calculate y(u). -4 Let t(f) = 4*f. Suppose -10 = 4*x + x. Let m be (3/1)/((-3)/x). Determine t(m). 8 Let g(k) = 20*k - 11. Let y(j) = -10*j + 5. Let m(q) = -6*g(q) - 13*y(q). Let f = -3 + -1. Let t = f + 3. Give m(t). -9 Let m be (4 - -2)*-2 + 2. Let k = m - -6. Let v(x) = -2*x - 6. Determine v(k). 2 Let t(i) = 28*i - 44*i + 17*i. Let n(w) = -w + 6. Let f be n(5). Give t(f). 1 Let f(m) = m - 6. Let u be f(-9). Let z = 9 + u. Let h(i) = -i**2 - 5*i + 4. Calculate h(z). -2 Let t = -16 - -13. Let i be -3 - t/(12/28). Let n(l) = l**2 - 2*l - 3. What is n(i)? 5 Suppose 4*u - 7 - 5 = 0. Let g(m) = 4*m - 3 + 0*m - u*m - 2. Determine g(6). 1 Let t(q) = 2*q**3 - q**2 + 9*q + 8. Let l(u) = -u**3 + 2*u**2 - 8*u - 7. Let b(v) = -3*l(v) - 2*t(v). What is b(-5)? 0 Let f(s) = -5*s - 1. Let c(h) = -h**2 - 9*h - 16. Let y be c(-7). Give f(y). 9 Let i(j) = -j**3 + 3*j**2 + 0*j - 4 - 9*j - 8*j**2 + 3*j. Determine i(-4). 4 Let w(z) = 1 + 0 + 6 + 4*z - 6 - z**2. Suppose 4*x - 1 = 3*s, x - 3*s + 3 = -8. Determine w(x). 1 Let v(b) be the first derivative of -2*b**3/3 - 7*b**2/2 - 4*b + 18. What is v(-4)? -8 Suppose 8*d - 4*d + p + 21 = 0, -5*d = 2*p + 24. Let g(k) = k**3 + 6*k**2 + 6. Give g(d). 6 Let i(v) = -v**2 - 11*v + 5. Let w be i(-11). Let b(u) = 2*u + 2*u - 5*u + w*u. Let q = 5 - 3. Give b(q). 8 Let b(r) = r**3 + 4*r**2 - 4*r + 4. Let i(w) = 2*w - 6. Let y be i(7). Suppose 4*q = 4*m + 12, -y*m + 4*m = 2*q + 24. Determine b(m). -1 Let q = 2 + 0. Let x(r) = r**q - r - 5*r**2 + 6 + 5*r**2. Suppose 5*h = h. What is x(h)? 6 Suppose 8*n - 4*n + a = -4, n + 1 = -4*a. Let l(v) = -6*v + 1 - 8*v + v. Determine l(n). 14 Suppose -4*w - 4 = -3*w. Let a(i) = -i**2 - 6*i + 5. Let v(l) = l**2 + 5*l - 5. Let g(h) = 2*a(h) + 3*v(h). Give g(w). -1 Let k(t) = t**3 - 5*t**2 + 2*t. Let b(f) = -3*f + 22. Let h be b(6). What is k(h)? -8 Let q(y) = y**2 - y. Suppose -2*b = b. Calculate q(b). 0 Let u(l) = -l - 3. Let c be u(-4). Let s(j) = -6*j**2 + j + 1. Let d be s(c). Let p(x) = -3*x**2 + 3 - 7 + 2*x**2 - 4*x. Give p(d). -4 Let p(n) be the first derivative of n**3/3 - n**2 - 2*n - 5. Determine p(5). 13 Let c be 4/(-8) + 1/2. Let j(w) = 8*w - w + c - 3*w**2 - w**3 + 3 - 3*w. Calculate j(-3). -9 Let o = -55 + 49. Let l(x) = x**3 + 6*x**2 + 8. Determine l(o). 8 Let l(r) = r**3 + 7*r**2 + 6*r - 8. Let b = -15 - -9. Give l(b). -8 Let u = -2 + -3. Let f(r) = 5*r**2 - 3*r - 2. Let t be f(u). Let k be t/(-42) + (-4)/(-14). Let m(w) = w**2 + 2*w - 4. What is m(k)? -1 Let s(g) = 4*g**2 + 11*g - 5. Let x(z) = -z**2 - 3*z + 1. Let v(p) = 2*s(p) + 9*x(p). Determine v(-4). 3 Let r(b) = 4*b + 4. Suppose -3*k = -5*k + 20. Let w be -3 + (-5)/(k/(-8)). Let p = w - 5. What is r(p)? -12 Let p(q) = -q**3 - 2*q**2 - 4*q - 2. Let k(x) = x**3 + 3*x**2 + 4*x + 2. Let i(l) = 3*k(l) + 2*p(l). Determine i(-4). 2 Let d(p) be the third derivative of -11*p**5/60 + 32*p**2. Calculate d(1). -11 Let w(c) = c. Let q(n) = -n**3 + 5*n**2 - 9*n - 1. Let u(i) = -i**3 + i**2 + 5*i - 3. Let m be u(3). Let t(l) = m*w(l) - q(l). Determine t(4). -3 Let b(k) be the first derivative of -3 + 1/3*k**3 + 5*k + 0*k**2. What
{ "pile_set_name": "DM Mathematics" }
- 3 wrt v. -159024 Find the third derivative of 2*d**2*m**3 + 3*d**2*m**2 + 2*d**2*m - d*m**2 - 50*d + 204*m**5 + 268*m**3 + 4*m wrt m. 12*d**2 + 12240*m**2 + 1608 What is the derivative of -130417*j - 121164? -130417 What is the second derivative of 2772*u*x**3 + 118*u*x + 689*u - 38*x**3 - 2*x wrt x? 16632*u*x - 228*x What is the second derivative of 243535*q**5 + 353549*q wrt q? 4870700*q**3 Find the third derivative of -23*p**5 + 19699*p**3 - 2247883*p**2 wrt p. -1380*p**2 + 118194 What is the second derivative of -2*a*i**2*t - 6*a*i**2 - a*i - a*t + 107*i**2*t + 10*i**2 + 247*i*t + 302*t wrt i? -4*a*t - 12*a + 214*t + 20 Find the third derivative of 28772*g**6 - 74*g**2 + g - 3. 3452640*g**3 Find the second derivative of 17*a*g**2*x + 2*a*g**2 + a*x + 529*g**2*x + 3651*g*x + g wrt g. 34*a*x + 4*a + 1058*x What is the second derivative of -98*c**5 + 2939*c**4 - c**2 + 1128521*c wrt c? -1960*c**3 + 35268*c**2 - 2 Find the second derivative of -1225016*v**3 + 2938040*v. -7350096*v Find the second derivative of -71*l**3*y**2 - l**3*y + 6*l**3 - 47*l**2*y - l**2 + 11614*l*y**3 + 56*y wrt y. -142*l**3 + 69684*l*y What is the derivative of -1671*h*o - 61826*h - 28*o wrt o? -1671*h - 28 Find the third derivative of 38418*g*x**5 - 15*g*x**3 + 2*g*x + 45*g - 157*x**2 wrt x. 2305080*g*x**2 - 90*g What is the third derivative of 2173791*j**4 - 3353239*j**2? 52170984*j Find the third derivative of -11*f*j*z**3 - 237*f*j*z - f*j + 26*f*z**3 - 3*f - 6*j*z**3 + j*z**2 - 2*z**3 wrt z. -66*f*j + 156*f - 36*j - 12 What is the third derivative of -2128026*s**5 + 2*s**2 - 2*s - 137278? -127681560*s**2 Find the third derivative of -202*i**6 + 222*i**3 + 610*i**2 + 374. -24240*i**3 + 1332 What is the second derivative of -i**4 - 49*i**3 - 463*i**2 + i + 38136? -12*i**2 - 294*i - 926 What is the second derivative of -43147*b**2*g**4 + 4*b**2 - b*g**2 + 7*b*g - 1254*b wrt g? -517764*b**2*g**2 - 2*b What is the derivative of 10*m**2*p**3 - 342*m**2 + 6*m*p**3 + 2*p**3 - 16*p**2 - 392*p - 2 wrt m? 20*m*p**3 - 684*m + 6*p**3 Differentiate 36737*y**2 - 12239 with respect to y. 73474*y Find the first derivative of -161*o**2 + 8*o - 4450 wrt o. -322*o + 8 Find the first derivative of -309124*a*s**2 + a - 685*s**2 - 377 wrt a. -309124*s**2 + 1 What is the third derivative of 2004447*j**3 - 3505819*j**2? 12026682 Differentiate -3964*n*u**3 + 3*n*u + 4*n + 69869*u**3 - 3*u**2 with respect to n. -3964*u**3 + 3*u + 4 Find the second derivative of 5*g**3*k - 6726*g**2*k + 9*g*k + 4*g + 14*k - 12 wrt g. 30*g*k - 13452*k Find the third derivative of 441*r**6 - 25*r**4 - 3241*r**2 wrt r. 52920*r**3 - 600*r Find the second derivative of 42967*l**3 + 19358*l + 6. 257802*l Differentiate 1820*g**2 - 35*g + 456334. 3640*g - 35 Find the second derivative of -m**3*q**2 - m**3*q + 13060*m**3 + 2*m*q**2 - 10932*q**2 - 3*q wrt q. -2*m**3 + 4*m - 21864 What is the third derivative of 674*n*r*w**3 - 7*n*r*w**2 + n*r + 22*n*w**3 - 2*r*w**3 - 366*r*w**2 + 2*w**3 wrt w? 4044*n*r + 132*n - 12*r + 12 What is the third derivative of -2*i**2*p + 75*i**2*q**3 + i**2*q**2 - 9*i*p*q**3 + 311*i*p*q + i*q**3 - 14*i*q**2 - 2*p*q wrt q? 450*i**2 - 54*i*p + 6*i What is the second derivative of -a**3 - 29553*a**2 + 1187*a + 12 wrt a? -6*a - 59106 What is the derivative of 8834*d**2 + 2*d + 27148 wrt d? 17668*d + 2 Find the first derivative of -2*i**2*v + i**2*y**2 - 5070*i**2*y + i*v*y**2 - 15*i*y**2 + 1843*v**2 + 2*v wrt v. -2*i**2 + i*y**2 + 3686*v + 2 What is the derivative of -495*k**3*p**2*q**3 + k**3*q**3 + 41*k**3*q**2*y - 4*k**2*q**3*y - 7*k + 21*p**2*q**2*y - 2*q**2*y wrt p? -990*k**3*p*q**3 + 42*p*q**2*y What is the third derivative of -1821*l**3*o**4 + 2*l**3*o**2 - l**3*o - 36*l**2*o**4 + 66*l**2*o**2 - 74*l**2*o wrt o? -43704*l**3*o - 864*l**2*o What is the derivative of 3442506*k**2*o**2*u - 2*k**2*o*u + 7138*o**2*u - 203*o*u wrt k? 6885012*k*o**2*u - 4*k*o*u Find the third derivative of 1643*i**3 + 16*i**2 + 3*i + 289. 9858 What is the second derivative of -39171*o**3 + 33710*o? -235026*o What is the derivative of 15724*l**4*t**2 + 2*l**2*t**2 + 40134*t**2 wrt l? 62896*l**3*t**2 + 4*l*t**2 What is the derivative of 18696*h**4 + 1604 wrt h? 74784*h**3 Find the second derivative of -156*h**3*w**3 - 259*h**3 - 15*h**2*w - 22*w**4 wrt w. -936*h**3*w - 264*w**2 Find the third derivative of -418*j**6 - 101*j**3 - 138029*j**2. -50160*j**3 - 606 Differentiate 11525*l + 32038. 11525 Differentiate 285*a*i**2 - a*i - 224*a - 5*i**2 - 207*i + 79 wrt a. 285*i**2 - i - 224 What is the first derivative of 2498077*h*w + 2350*h - 172 wrt w? 2498077*h Find the second derivative of -159335*l**4 - 6*l**2 + 371535*l + 4. -1912020*l**2 - 12 What is the second derivative of 361*m**3 + m**2*z**2 + 40*m**2*z + m*z - 2*m - 1156*z**2 - z - 1 wrt m? 2166*m + 2*z**2 + 80*z Find the third derivative of 415*f*p**3*y*z - 2*f*p**2*y*z - 4*f*p**2*z + 196*f*p*y*z - 8*p**3*y + 3*p**3 + p*y wrt p. 2490*f*y*z - 48*y + 18 What is the derivative of 2*j**4*o - 13560*j**2*o - 10*o - 4671 wrt j? 8*j**3*o - 27120*j*o Find the second derivative of -519806*r**3 + 1097969*r wrt r. -3118836*r What is the third derivative of -2*s**6 - 15114*s**4 + 492108*s**2? -240*s**3 - 362736*s Find the third derivative of 11625*d**6 - 1364*d**2 - 10. 1395000*d**3 Find the second derivative of -8749*k*o**3 + 2*k*o**2 + 40*k*o - 65*k - 2*o**3 - o wrt o. -52494*k*o + 4*k - 12*o What is the second derivative of 638498*m**2 - 25426*m - 2? 1276996 Find the third derivative of 189*j**4*u + 23*j**3*u**3 - j**3*u + 61*j**2*u**3 + 7*u**3 wrt j. 4536*j*u + 138*u**3 - 6*u What is the second derivative of b*t**2 - b*t + 9*b - 26776*t**4 - 24*t + 24 wrt t? 2*b - 321312*t**2 What is the third derivative of -351551*k**3*p + 2*k**3 - 69770*k**2*p - p wrt k? -2109306*p + 12 Find the third derivative of 4*c**6*i + 188*c**4*i - 34*c**3 + 370*c**2 + 37*c - 2*i wrt c. 480*c**3*i + 4512*c*i - 204 Find the third derivative of 333951*q**5 - 4*q**2 + q + 1853 wrt q. 20037060*q**2 Find the second derivative of -332308*r**2 - 41884*r wrt r. -664616 What is the second derivative of -70857*i**2 - 1650037*i? -141714 What is the third derivative of -3*h**3*y + 36066*h**3 + 543*h**2*y - 142*y wrt h? -18*y + 216396 What is the first derivative of -34*a*g**2*l + 432*a*g*l + a*l + 1769*g**2*l - 2*g*l + 21*l wrt a? -34*g**2*l + 432*g*l + l Find the third derivative of a**6 - 290*a**4 + a**3 - 246*a**2 + 39*a wrt a. 120*a**3 - 6960*a + 6 Find the second derivative of 1790*u**2 - 48605*u. 3580 Find the third derivative of -24*s*w**4 + 10*s*w**2 - 21337*w**3 - 32*w**2 + 156 wrt w. -576*s*w - 128022 Find the first derivative of -37560*g + 50480 wrt g. -37560 Find the third derivative of -76237*l*z**3 - 13637*l*z**2 + 3*l + z wrt z. -457422*l What is the third derivative of -33524*n**4 + 2*n**2 + 1258*n - 1? -804576*n What is the third derivative of 94*v**4 + 1025*v**2 - 2*v + 41? 2256*v What is the third derivative of -45616*m**5 - 76*m**2 + 2*m? -2736960*m**2 Find the third derivative of -47*w**6 + 2309*w**4 - 36057*w**2. -5640*w**3 + 55416*w What is the first derivative of -45856*l - 38101? -45856 What is the third derivative of 562478*c**3 - 8537*c**2 wrt c? 3374868 Find the second derivative of -a**2*n**3 + 13270*a**2*n**2 - 208*a*n**3 + 305*a*n**2 wrt a. -2*n**3 + 26540*n**2 Find the third derivative of 1013*p**6 + 2*p**3*w + 2*p**3 + 158*p**2*w - 79 wrt p. 121560*p**3 + 12*w + 12 What is the third derivative of -58244*f**5 - 5*f**4 - 10862*f**2 + 2*f + 15 wrt f? -3494640*f**2 - 120*f Differentiate 5*l**4 + 861*l - 11896. 20*l**3 + 861 What is the first derivative of 208482*b**3 - 138392? 625446*b**2 What is the third derivative of 13*c**4*w - 1012*c**4 - 2*c**2 + 1051785*w wrt c? 312*c*w - 24288*c What is the third derivative of j**4*u - j**4 + 2098*j**3*u + 180*j**3 - j**2*u - 4*j**2 - 107*j*u + 3*u - 6 wrt j? 24*j*u - 24*j + 12588*u + 1080 What is the first derivative of -2566380*j**2 + 1863222 wrt j? -5132760*j What is the third derivative of 30852*m*s**6 + 7*m*s**5 + 156*m*s**2 - 4*m*s - 1 wrt s? 3702240*m*s**3 + 420*m*s**2 What is the second derivative of 74991*u**2 - 265766*u wrt u? 149982 Find the third derivative of -o**3*x - 326118*o**3 - 4*o**2 - 97*o*x - x wrt o. -6*x
{ "pile_set_name": "DM Mathematics" }
-40. Suppose 0 = -3*t + 2*a + 20, 0*t - 2*t + y*a = -24. What is the second derivative of -14*z**5 + 0*z - 14*z - 4 + t wrt z? -280*z**3 Let k(v) be the first derivative of -v**6/2 - v**4/2 - 281*v**2 + 436. What is the second derivative of k(d) wrt d? -60*d**3 - 12*d Let r(x) be the third derivative of x**6/15 + 59*x**5/12 + 31*x**4/24 + 4*x**3/3 + 4215*x**2. What is the second derivative of r(s) wrt s? 48*s + 590 Let y(p) be the second derivative of 0*p**2 + 41/6*p**3 - 3 + 13*p - 7/6*p**4. What is the second derivative of y(d) wrt d? -28 Suppose 2*m - 25 = m - 5*u, -4*m + 4*u = 20. Suppose 20 = -m*f + 4*f, 4*f = -3*s + 32. What is the second derivative of -a + s*a + 12*a + 6*a**4 wrt a? 72*a**2 Let f(v) be the first derivative of 0*v - 161 - 2/3*v**3 + 77/2*v**2 + 59/4*v**4. Find the second derivative of f(g) wrt g. 354*g - 4 Suppose 22*z = 21*z + 5. Let i = z - 2. What is the third derivative of -12*n**i + 29*n**2 - 64*n**2 + 22*n**2 wrt n? -72 Let y(z) be the third derivative of 1009*z**6/20 + 2069*z**4/8 + 3*z**2 - 383*z. Find the second derivative of y(w) wrt w. 36324*w What is the second derivative of -1447*i**2 + 1583*i - 1009*i**2 + 2360*i**3 + 2456*i**2 wrt i? 14160*i Let g be (2/3)/(4/18). Let y(x) = 2*x**2 - 5*x - 1. Let t be y(g). Differentiate 9 - 4*b**t + 12 - 8 - 2*b**2 wrt b. -12*b Let w = 2130 + -628. What is the derivative of 154*l**2 + 780 + 779 - w wrt l? 308*l Let d(g) be the first derivative of -247*g**6/6 + 2*g**3/3 - 617*g**2 - 1789. What is the second derivative of d(y) wrt y? -4940*y**3 + 4 Let x(y) = -3*y**4 + 12*y**3 - 6*y**2 - 827. Let f(g) = -2*g**3 + 1. Let q(h) = 6*f(h) + x(h). Differentiate q(r) with respect to r. -12*r**3 - 12*r Let x(k) = 3378*k**2 + 81*k - 9. Let t(g) = -3*g**2 - g + 1. Let o(r) = -4*t(r) - x(r). Find the second derivative of o(u) wrt u. -6732 Let d(v) = -2703*v**3 - 420*v**2 + 10. Let b(c) = -5403*c**3 - 839*c**2 + 17. Let s(r) = 3*b(r) - 5*d(r). Find the third derivative of s(g) wrt g. -16164 Find the second derivative of 1642*c + 641*c - 876*c**3 - 383*c**3 wrt c. -7554*c Let x be 1/(-2)*-1*-2*30. Let k = 37 + x. What is the second derivative of 0*z + 13*z + 46*z**4 + k*z wrt z? 552*z**2 Let z be 1*1/(2 - 1). Let m be 0 + ((-30)/(-5) - z). Find the second derivative of -11*g**4 - 46*g - m*g**4 + 0*g**4 + 15*g wrt g. -192*g**2 Let u(y) = 2*y + 2*y - 32*y**2 + 13*y**2 - 38 - y**3 + 14*y. Let k be u(-20). Find the second derivative of -n + 582*n**2 - 15*n**5 - 582*n**k wrt n. -300*n**3 What is the derivative of 286*i - 1159*i + 276*i - 7*i**2 + 263*i + 270*i - 605 wrt i? -14*i - 64 Find the third derivative of 6*c - 96*c**3 - 3655*c**2 + 1822*c**2 + 28*c**5 + 1823*c**2 - 7 wrt c. 1680*c**2 - 576 Let q(z) = 904*z**3 - 6*z**2 - 348*z - 2. Let o(x) = -905*x**3 + 9*x**2 + 345*x + 3. Let t(c) = -2*o(c) - 3*q(c). Find the second derivative of t(k) wrt k. -5412*k Let i(a) be the second derivative of -221/12*a**4 - 13*a - 1/10*a**5 + 3 + 0*a**2 + 0*a**3 - 1/10*a**6. Find the third derivative of i(r) wrt r. -72*r - 12 Let a = -47 - -53. Let v(q) = q - 3. Let u be v(a). Find the first derivative of -4 + 28 - 7 + 3*s + u wrt s. 3 Let y(d) = -1 - 2*d - 4 - 2*d + 3*d. Let m be y(-10). What is the third derivative of 6*c**2 + 5*c**m - 3*c**2 - 31*c**5 wrt c? -1560*c**2 Let f = -92 + 96. What is the second derivative of -1623*b**3 + 44*b + 157*b**f - 35*b**4 + 1623*b**3 wrt b? 1464*b**2 Let j(h) = 119459*h**2 + 258808*h - 595. Let r(i) = 3982*i**2 + 8627*i - 20. Let a(o) = 4*j(o) - 119*r(o). What is the second derivative of a(v) wrt v? 7956 Suppose -279*o = -276*o + 6. Let z(l) = -2*l**3 - 3*l + 2. Let x be z(o). What is the derivative of -x + 10004*v - 10004*v - 2*v**2 + 4*v**4 wrt v? 16*v**3 - 4*v Let j(f) be the second derivative of 22*f**3 + 9 - 44*f**2 - 13*f - 10 + 17*f**3 + 0*f + 5. Differentiate j(r) wrt r. 234 What is the third derivative of -181303*w + 9*w**4 - 26*w**3 - 102*w**3 + 181303*w + 105*w**2 wrt w? 216*w - 768 Let f(u) = -8*u**4 - 105*u**2 + 5*u - 6913. Let j(q) = 15*q**4 + 208*q**2 - 9*q + 13829. Let b(v) = -9*f(v) - 5*j(v). Differentiate b(n) wrt n. -12*n**3 - 190*n Let k(c) be the first derivative of -c**7/7 + 2007*c**4/4 + 2*c**3/3 - 33*c**2/2 + 5*c - 3736. What is the third derivative of k(i) wrt i? -120*i**3 + 12042 Let s(i) = 483*i**4 - 7*i**3 + 17*i - 8723. Let z(p) = 241*p**4 - 4*p**3 + 10*p - 4361. Let c(m) = -4*s(m) + 7*z(m). What is the derivative of c(y) wrt y? -980*y**3 + 2 Suppose 2*l - 21 = -13. What is the derivative of -102 - 13*x**4 + 3*x**l + 78 wrt x? -40*x**3 Let l(y) be the third derivative of 137*y**6/40 - y**4/3 - 866*y**3 + 2*y**2 - y - 409. What is the derivative of l(w) wrt w? 1233*w**2 - 8 Suppose -5*s + 4 = -6. Find the third derivative of 6 - s - 4 + 59*t**2 + 27*t**3 wrt t. 162 Let k(i) be the first derivative of -12985*i**4/4 + 3303*i**2 - 295. What is the second derivative of k(s) wrt s? -77910*s Let k(z) be the first derivative of -1489*z**3/3 + 732*z + 1536. Differentiate k(h) with respect to h. -2978*h Let l(t) be the third derivative of -158*t**6/5 + 1137*t**3/2 - 59*t**2 - 3*t. Differentiate l(h) with respect to h. -11376*h**2 Suppose -19*l = -3*l - 48. What is the third derivative of -27*d - 16*d**l + 15*d**2 + 27*d - 44*d**2 wrt d? -96 Let s(i) be the first derivative of 7097*i**4/4 + 4757*i - 5848. Find the first derivative of s(r) wrt r. 21291*r**2 Let c(y) be the third derivative of 167*y**6/40 - 137*y**4/4 + 877*y**2. Find the second derivative of c(l) wrt l. 3006*l Let w(v) = -133*v - 153. Suppose -4*u + 24 = -4*p, 4*p + 14 = -5*u + 35. Let f(a) = -2*a + 1. Let k(x) = p*w(x) - 2*f(x). Differentiate k(z) with respect to z. 137 Let n(r) be the second derivative of 3*r - 11/6*r**3 + 0*r**6 + 3 + 1/42*r**7 - 7/10*r**5 + 0*r**2 + 0*r**4. What is the second derivative of n(d) wrt d? 20*d**3 - 84*d What is the third derivative of 1032803*j**2 + 2*j**3 - 2*j**3 - 1522*j**5 - 1033286*j**2 wrt j? -91320*j**2 Let d(f) be the first derivative of -f**4/2 + 31*f**3/3 + 2068*f - 2467. Differentiate d(t) wrt t. -6*t**2 + 62*t Let o(b) be the second derivative of -55/12*b**4 + 1 + 113*b + 0*b**5 + 0*b**2 - 16/3*b**3 + 1/21*b**7 + 0*b**6. What is the second derivative of o(m) wrt m? 40*m**3 - 110 Suppose 0 = -5*w + 436 - 16. Suppose -4*v + w = -116. Find the first derivative of 44 + 1698*y - 1698*y + v*y**2 wrt y. 100*y What is the third derivative of 5296*k**2 - 685*k**2 + 14*k**4 + 915*k**2 + 6*k**3 - 71*k**4 wrt k? -1368*k + 36 What is the third derivative of w**2 - 1144*w**3 - w**4 - 1591*w**3 + 315*w - 1369*w**3 wrt w? -24*w - 24624 Find the first derivative of 8893 - 22494*q**2 + 52*q + 45135*q**2 - 22561*q**2 wrt q. 160*q + 52 Let v = -525 - -532. What is the derivative of -3*a**3 - a**3 + 100 + 8*a**3 + 31*a**3 + v*a**3 wrt a? 126*a**2 Let f(y) be the second derivative of 0*y**2 + 0*y**6 + 0*y**3 + 2*y + 1/3*y**4 + 4 + 2/7*y**7 + 0*y**5. Find the third derivative of f(n) wrt n. 720*n**2 Let x(d) = -22050*d**2 + 14913*d + 8. Let o(s) = -7350*s**2 + 4974*s + 3. Let j(q) = -8*o(q) + 3*x(q). What is the second derivative of j(c) wrt c? -14700 Let o be (-46)/(-414) - 53/(-9). What is the third derivative of -g**2 + 7 - 4*g**o + 3*g**2 - g**6 - 15*g**3 + 4*g**2 + 0 wrt g? -600*g**3 - 90 Let j(h) be the third derivative of 231*h**6/10 - 3*h**4/8 + 29*h**3/6 - 3991*h**2. What is the second derivative of j(u) wrt u? 16632*u Find the third derivative of 9103 - 1784*k**2 - 9103 + 868*k**3 wrt k. 5208 Let q(a) = 11*a**2 + 5*a - 1. Let h be q(-1). What is the third derivative of -19*g - 66*g**6 - h*g**2 + g**2 + 6*g**2 wrt g? -7920*g**3 Suppose -5*x - 4*a - a + 30 = 0, 2*x = -4*a + 20. Differentiate -45*m**2 + 191 + 109*m**x + 161*m**2 + 26*m**2 with respect to m. 502*m Let h(n) be the second derivative of 5686*n**3/3 + 4941*n**2 - 3068*n. Differentiate h(p) with respect to p. 11372 Let t be (-4 + (-54)/(-12))*6. Find the first derivative of 1406*z**2 - 39*z + 27 + 4*z**3 - 1406*z**2 - 5*z**t - 160 wrt z. -3*z**2 - 39 Suppose -s - 5 = 2*o + o, 5*s - 9 = 2*o. Let y be (-16)/8 - 16/o. Find the third derivative of -41*u**4 - y*u**2 - 7*u**2 + 38*u**4 wrt u. -72*u Let p(c) = -7940*c**2 + 5*c - 52. Let u(r) = 7944*r**2 - 2*r + 50. Let a(y) = 3*p(y) + 2*u(y). Wha
{ "pile_set_name": "DM Mathematics" }
y n(1). 13 Let u = -410 + 421. What is the remainder when 105 is divided by u? 6 Let x = 24 + -46. Let i = 32 + x. Calculate the remainder when (-1)/(2/4) - -40 is divided by i. 8 Let h = -2549 + 2572. What is the remainder when 129 is divided by h? 14 Suppose 8*b - 3*b - 10 = 0. Suppose 6*f - 58 = 164. What is the remainder when f is divided by (-15)/b*(-4)/3? 7 What is the remainder when 307 is divided by 120/11 - (42/22 + -2)? 10 Let b = -2 - -4. Suppose a = 15 + 8. Suppose -3*j = -a + 5. What is the remainder when j is divided by b? 0 Let v be (-3)/(-2)*16/3. Let f be (-10)/15*(-36)/v. Suppose 0 = -k - 5*b + 18, -b - 17 = -f*k + 5. What is the remainder when k is divided by 3? 2 Suppose z + 392 = 5*z. Suppose -5*f - 4*a + 278 = 0, -f - f + 5*a = -z. What is the remainder when f is divided by 16 - (2 + 0/2)? 12 Suppose 10*a - 35 = -155. What is the remainder when (-938)/(-8) - 1/4 is divided by (a/(-10)*-2)/(4/(-50))? 27 Suppose 3*i - 27 = -2*a, 3*i + i + 5*a = 29. Suppose 3*z = 5*z - 7*z. Suppose -14*h + 513 - 65 = z. What is the remainder when h is divided by i? 10 Let y(d) = -d + 1. Calculate the remainder when 12/16 + 63/12 is divided by y(-4). 1 Let v = 96 - 86. Calculate the remainder when 56/v + (-4)/(-10) is divided by 3. 0 Let u = 1068 + -1050. Calculate the remainder when 78 is divided by u. 6 Suppose -35 = 2*u + 7. Calculate the remainder when 11 is divided by u/(-3) + -2 + (-2)/(-2). 5 Suppose 0 = -4*j - 30 + 6. Let o be 12/9*j/4. Calculate the remainder when 26 is divided by ((-3)/o)/((-1)/(-10)). 11 What is the remainder when -1*(-8)/(-6)*-807 is divided by 18? 14 Let f(n) = -24*n - 74. What is the remainder when f(-11) is divided by 67? 56 Let d(q) = 20*q + 29. Calculate the remainder when 101 is divided by d(0). 14 Calculate the remainder when 166/(-4 - (3 + -8)) is divided by 24. 22 Suppose 0 = 2*h, h = 4*t - 0*h - 32. What is the remainder when (4 + 0 + -3)/(18/378) is divided by t? 5 Let w = 332 - 71. What is the remainder when w is divided by 33/((-11781)/(-34)) + (-1844)/(-42)? 41 Let g(w) = 2*w**3 - 2*w**2 - 18*w + 5. What is the remainder when g(6) is divided by 29? 25 Suppose 40*r = 7189 + 3051. Calculate the remainder when r is divided by 9. 4 Let j = 102 + -108. Calculate the remainder when 18/((-3 - j)/3) is divided by 5. 3 Suppose 0 = t + 5*j - 3, 3*t + 8*j - 7*j = 51. Suppose -4*p + 0*p + 4 = 0. What is the remainder when t is divided by 0/1 + (p - -6)? 4 Calculate the remainder when 6 + 5 + 157 - (4 + 0) is divided by 11. 10 Suppose 104*y - 28 = 103*y. Suppose 0*t + 28 = 2*t. Let a = 24 - t. What is the remainder when y is divided by a? 8 Let z(b) = 2*b + 41. Calculate the remainder when 104 is divided by z(-19). 2 Let n(w) = -w**2 - 9*w - 10. Let q be n(-5). Let f be (5/q)/(1/20). Calculate the remainder when 19 is divided by 48/f - 5/(-25). 4 Suppose -15 + 0 = -5*v. Suppose 0 = -3*j - 3*z, j = 2*j + 2*z + 5. Calculate the remainder when j is divided by v. 2 Let s be (1 + -2)*(15 - 15). Suppose -4*r = 5*m - 28, 5*r + s*m = 3*m - 2. Calculate the remainder when (-4 + r)/((-3)/147) is divided by 20. 18 What is the remainder when 0 + 610/4*70/175 is divided by 32? 29 Suppose -4*v = -v - d - 46, -d - 76 = -5*v. Suppose h + 2*p - v = -p, -h - 5*p = -17. Calculate the remainder when h is divided by 7. 5 Suppose -7 = -4*n - 4*s + 5, -15 = -5*n + 2*s. Suppose -2*l + z = -n - 6, 3*z + 13 = -l. What is the remainder when 7 is divided by l? 1 Suppose -4*i + 5*j = -8, 11 = -7*i + 2*i + j. Let s = 5 + i. Suppose 0 = 4*l - s*l - 6. Calculate the remainder when 7 is divided by l. 1 Suppose 5*f + 77 = 2. Let a = 1 - f. Calculate the remainder when 31 is divided by a. 15 Suppose -3*m + 6 + 3 = 0. Suppose -70 = -m*k - 7. Calculate the remainder when 60 is divided by k. 18 Suppose 2*q - 102 = -q. What is the remainder when (-16)/(-20) + 2888/40 is divided by (-2)/(-4)*q - -2? 16 Let r(m) be the third derivative of -m**4/6 - 3*m**3/2 + 4*m**2. What is the remainder when 23 is divided by r(-4)? 2 Let z be 5*7/(70/6). Suppose z*f + 41 = -4*q, 8*q - 3*q = 4*f - 28. Calculate the remainder when ((-4)/q)/(1/74) is divided by 14. 9 Suppose -5*j - 3*v + 72 = -0*v, j + 5*v = 10. What is the remainder when 132/11 + (-1 - 5 - -15) is divided by j? 6 Suppose -6*v + 2*v + 52 = 0. Calculate the remainder when (12 - 9)*v*14/6 is divided by 23. 22 Suppose 12*l = 7*l + 25. Let q = 42 - l. Suppose s - 5 = -0*r - 5*r, -2*s = 3*r - 31. Calculate the remainder when q is divided by s. 17 Let y = 2389 + -2369. What is the remainder when 34 is divided by y? 14 Let u = 40 + -17. Let n(f) = -10*f**2 + 5*f. Let v be n(-4). Let m = -90 - v. What is the remainder when m is divided by u? 21 Suppose -2*j = -5*j + 9. Suppose j*t = 4*t + 8. Calculate the remainder when 9 is divided by 10/4*(t - -10). 4 Suppose 4*k + 5*n - 34 = 0, -k - 2*n = 2*n - 14. Let m = -101 + 104. What is the remainder when k is divided by m? 0 Suppose 3*y + 50 = -5*k - 51, 5*y + 225 = 3*k. Calculate the remainder when 74 is divided by ((-19)/3)/(14/y). 17 Let n = 68 + -60. Suppose -2*z + 5*j = z - 32, -4*j = -n. Calculate the remainder when 97 is divided by z. 13 Suppose 0 = -5*i + 5*x + 25, 0 = 5*i + x - 10 - 45. Suppose i = -5*z + 40. Suppose z*g = 4*g + 10. What is the remainder when 13 is divided by g? 3 Let z = 14 - 7. Let x(r) = 21*r - 13. Let a(w) = 11*w - 7. Let i(b) = z*a(b) - 4*x(b). Calculate the remainder when i(-4) is divided by 17. 14 Let u be 1/(1/(-34)) + -1. Let c = -4 - u. Calculate the remainder when c is divided by -2 + 15*(-5)/((-75)/10). 7 Let p(w) = -w**3 - 18*w**2 - 33*w + 5. Let d be (-333)/21 + (-3 - 100/(-35)). Calculate the remainder when 78 is divided by p(d). 15 Let v(w) be the third derivative of -w**6/120 + 7*w**5/60 + w**4/12 - w**3/6 + 3*w**2. Calculate the remainder when 36 is divided by v(7). 10 Suppose -230 = 11*o - 57*o. Calculate the remainder when 2/(-3) + 136/6 is divided by o. 2 Let w be (-482)/(-8) - 3/12. Let y be 5*(w/(-25))/(-2). What is the remainder when 20 + (-4 - y/(-3)) is divided by 5? 3 What is the remainder when 118 is divided by (-4)/(-8)*70*(7 - 6)? 13 Let o = 103 + -53. Let z = o - 29. What is the remainder when ((-108)/8)/((-1)/6) is divided by z? 18 Suppose 2*h + 17 = 105. What is the remainder when 288 is divided by h? 24 Calculate the remainder when 81 is divided by (14/(-4) + 3)*-52. 3 Suppose 70 = 3*l + 2*l. Let v = l - -30. Calculate the remainder when v is divided by 15. 14 Suppose -7*u = -12*u + 30. Calculate the remainder when 122 is divided by 1/u - 2/(72/(-1470)). 40 Let j(u) = 3*u**3 - u**2 + u - 2. What is the remainder when j(4) is divided by 19? 7 Suppose 0 = -138*z + 128*z + 9850. What is the remainder when z is divided by 26? 23 Let y = 41 + -6. Calculate the remainder when ((-5)/5 - y)/(2/(-10)) is divided by 46. 42 Let c be (-2)/(-1) - (1 + 1). Suppose 7 = -c*b + b + 4*m, 2*m = -2*b + 44. Let g = b + -8. What is the remainder when 56 is divided by g? 18 Suppose 0 = -4*n - 3*j - 0*j + 13, n = -5*j + 16. Calculate the remainder when 10 is divided by n - ((-6 - -4) + 1). 0 Let b(q) = -3*q + 12. Let m be b(3). Suppose -36 = -6*a + m*a. What is the remainder when 68 is divided by a? 8 Let r = 27 - 12. Suppose -c - 5*g = -r, 2*c - g - 25 = -6*g. What is the remainder when 49 is divided by c? 9 Let u(j) = j**2 - 9*j - 14. Let t(m) = 0 + 14*m + 0 + 2. Calculate the remainder when t(2) is divided by u(11). 6 Suppose -3*f = 12, -4*f = 2*y - 177 - 63. Calculate the remainder when y is divided by (14/4 + -4)*-66. 29 Let r(o) = -o**3 + 2*o**2 + 17*o + 2. Calculate the remainder when 65 is divided by r(5). 5 Let u(j) = 2*j - 6*j - 3*j + 0*j - 18. What is the remainder when 26 is divided by u(-4)? 6 Let b = 111 - 2. Calculate the remainder when b is divided by 37. 35 Calculate the remainder when 211 is divided by 31 - 14/((-126)/81). 11 Let z(b) = -7*b**3 + 2*b**2 - 1. Let y be z(-1). Suppose -36 = -12*i + y*i. What is the remainder when 34 is divided by i? 7 Let o(r) = 3*r + 12. Suppose -2*g = x - 5, x = -2*g + 4*x + 17. Let a = 13 - 0. What is the remainder when o(g) is divided by a? 11 Let o = -86 - -97. Calculate the remainder when 505 is divided by o. 10 Suppose 3*d - 28 + 13 = 0. Suppose -54 - 31 = -d*a. Calculate t
{ "pile_set_name": "DM Mathematics" }
e (-74)/14 - (-1)/((-21)/(-6)). Sort 4, l, c in ascending order. c, l, 4 Let w(j) = -j**2 + 15*j + 4. Let z be w(15). Put z, 6, -5 in descending order. 6, z, -5 Let n = 11 - 10. Put n, 0, -0.2 in decreasing order. n, 0, -0.2 Suppose 4*f = 2*m - 16, -5*m - 5*f = -3 + 8. Suppose s + m*s + 12 = 0. Suppose 5*y = -i + 2, 2*y = 7*y + 4*i - 8. Sort s, 1, y in descending order. 1, y, s Let k = -31 + 30. Put k, 4, -3, 5 in increasing order. -3, k, 4, 5 Suppose -7*x = -2*x. Suppose x*v - 2*v + 8 = 0, -4*v = 2*i - 24. Let u(d) = d**3 - 4*d**2 - 6*d. Let l be u(5). Put i, -1, l in increasing order. l, -1, i Let k(j) = -j**3 - 5*j**2 - 4*j. Let p(l) = l + 5. Let w be p(-9). Let x be k(w). Sort -0.5, x, 0.07 in increasing order. -0.5, x, 0.07 Let u = 10 + -13. Let o be (-3)/(-1 + u/6). Put -1, o, 5/7 in decreasing order. o, 5/7, -1 Let d be (-4)/7 + (-2)/(-28). Put d, 2/19, 0.2 in increasing order. d, 2/19, 0.2 Let b be (0 + (-2)/4)/(-3). Suppose -2*m - 4*n = -0 - 6, -4 = -4*n. Let v be (0 - m)*(-12)/(-8). Sort b, v, -4. -4, v, b Let c = 112 - 116. Put 2, -3, c, 5 in decreasing order. 5, 2, -3, c Let n = 18 - 52/3. Let s be -3*(1 + 2/(-3)). Let b = 65 + -67. Sort n, s, b in decreasing order. n, s, b Let y = -22 + 25. Let q be y + 16/(-7) + -1. Let c = 0 + 1. Sort 2, q, c in increasing order. q, c, 2 Let g = -6 - -7. Let h be 164/3 + 1 - g. Let z = -56 + h. Sort 1/3, z, -1/2. z, -1/2, 1/3 Let r = -9 + 9. Let v be 0/2 + r - 0. Put v, 2/15, 2 in decreasing order. 2, 2/15, v Suppose -3*y = 3*r - 45, -4*r + 5*r = -2*y + 16. Let n = r - 17. Sort n, 5, -8 in increasing order. -8, n, 5 Let x = -411/5 - -84. Sort -0.2, -3, x in decreasing order. x, -0.2, -3 Let q = -4 - -2. Let b be 18/(-12)*q/(-1). Let w = 3 + b. Sort 1, -3, w. -3, w, 1 Let t be 0 + (-1 - (4 - 1)). Let d be (-2)/1 - (-8 - -1). Suppose -6*w = d*h - 2*w, 4*h - 4*w = 36. Put h, t, -5 in decreasing order. h, t, -5 Let c = 0.37 + -0.07. Let r be (-8)/(-42)*(-6)/4. Let y = -0.4 - -0.1. Sort r, y, c in increasing order. y, r, c Let w = 5 - 2. Suppose -2*m = 4*v + 18, -2 = v - w*m + 6. Let c be 3/(-9) - 32/(-6). Sort c, 4, v in decreasing order. c, 4, v Let r(i) = i**2 + 2*i + 2. Let b be r(-1). Put -4, b, 2, -5 in ascending order. -5, -4, b, 2 Let g = 0.04 - 19.04. Put -1, g, -5 in ascending order. g, -5, -1 Let j(k) = k**2 - 3*k - 6. Let d be j(4). Sort d, 0, 5 in decreasing order. 5, 0, d Let s = 5.069 - 0.069. Sort -8, s, -2 in decreasing order. s, -2, -8 Let g be (-1 + (-1)/(-2))*0. Sort 4, g, -4 in descending order. 4, g, -4 Let x be (-6)/12 - 5/(-2). Let s = -15 + 14. Sort -2, x, s in increasing order. -2, s, x Let i(l) = 2*l + 12. Let z be i(-9). Let a be (-5)/20*(-4)/z. Sort 0.3, a, 4 in descending order. 4, 0.3, a Let u = 2 + -8. Let o = u + 5.6. Put o, -4, 5/4 in increasing order. -4, o, 5/4 Suppose 7*y - 11*y = 0. Suppose -2*s - 6 = -4*s. Sort y, 2, s in increasing order. y, 2, s Let y = 0.064 + 2.936. Let q be (1 - -1)*3/12. Sort y, q, 0.3 in increasing order. 0.3, q, y Suppose -5*y + 2*y - 3 = 0. Sort -0.2, y, -2/7. y, -2/7, -0.2 Suppose y + 23 = 5*p, -5*y + 0*p = 4*p - 1. Sort 4, 1, y in ascending order. y, 1, 4 Let u be (-3)/(((-1)/3)/(-1)). Let y = u + 4. Let p be (-3)/(6/(-8)) + -2. Put p, -3, y in ascending order. y, -3, p Suppose 20 = 5*j - 9*j. Put -3, j, 3, -1 in decreasing order. 3, -1, -3, j Suppose 9*x - 5*x + 2*g = -16, -5*x = 3*g + 20. Put x, 5, -1 in increasing order. x, -1, 5 Let t(b) = -b**3 - 3*b**2 + 5*b - 1. Let y be t(-4). Put y, 1, 4 in descending order. 4, 1, y Suppose -b = -3*v + 3*b + 7, 4*v + 4*b - 28 = 0. Let s be -5*2/v*2. Sort 4, -3, s. s, -3, 4 Let h = -25 + 28. Sort 6, h, -5, 2. -5, 2, h, 6 Suppose -15 = -3*n, 4*q - 4*n - 4 = 2*q. Suppose -5*k + 13 = -q. Let g = k - 2. Put 1, g, 5 in decreasing order. 5, g, 1 Let f = 0.016 + -0.016. Let z = 2.2 - -0.8. Let g = z + f. Put 0.3, g, -4 in ascending order. -4, 0.3, g Let p = 66 - 62. Sort -2, p, -0.4, 1. -2, -0.4, 1, p Let o = 17 + -13. Put 0.3, 0, o, -3/2 in increasing order. -3/2, 0, 0.3, o Let l(t) = 6*t - 4. Let a be l(1). Sort a, -2/13, 0.2 in ascending order. -2/13, 0.2, a Let g(x) = x**2 + 8*x - 7. Let o be g(-8). Let k(t) = -t**3 - 7*t**2 - t - 4. Let a be k(o). Put a, -4, -5 in ascending order. -5, -4, a Let p be 1 + 4 + -4 + -4. Sort 6, 1, p. p, 1, 6 Let v(i) = 2*i + 9. Let h be v(-3). Put -0.4, -5, -0.3, h in descending order. h, -0.3, -0.4, -5 Let i(z) = z**2 - 6*z + 4. Let o be i(3). Let k = -3 - o. Suppose -3 = 4*u + y, -3*u - 2*y + 1 = 2*y. Put -2, k, u in increasing order. -2, u, k Let v = 24 + -22. Let o = -0.34 + -0.06. Sort 5, v, o in decreasing order. 5, v, o Let j(c) = -9*c + 1. Let g be j(-1). Let l = g - 10. Suppose -2 - 6 = -4*u. Sort u, 5, l. l, u, 5 Let f = -8 + 13. Suppose 0*x = 5*x - 15. Let m be 0/1 + (-20)/(-16). Sort x, f, m in ascending order. m, x, f Let d = -1 + -9. Let a be (-14)/35*d/8. Sort -1, -4, a in increasing order. -4, -1, a Let b be (3 - -1)/(3/12). Suppose 4*h - 5 = 5*a + 1, 2*a - b = -3*h. Let t = 1 + 2. Sort -1, t, a in ascending order. -1, a, t Let w(h) = 3*h**2 - 7*h - 9. Let u(z) = 7*z**2 - 13*z - 17. Let j(g) = 4*u(g) - 9*w(g). Let b be j(-9). Put 0, b, -1 in descending order. 0, -1, b Let w = -7 + 7.4. Sort 3, -3, w, 2/3 in descending order. 3, 2/3, w, -3 Suppose 0 = 3*r - 2*i - 2, -2*r + 5*i = 23 - 6. Suppose -25 = -2*g - 2*w - 3, 5*g - 3*w = 47. Suppose p = -r*p + g. Sort 1, 4, p in descending order. 4, p, 1 Suppose 0 = 6*w - 4 + 16. Sort 5, 1/9, -1, w in descending order. 5, 1/9, -1, w Let u(l) = -l + 2. Let a be u(-3). Sort -8, a, 3 in increasing order. -8, 3, a Let n = -3 - -5/2. Put 0.4, n, -3 in decreasing order. 0.4, n, -3 Let a(s) = -s**3 + 0*s**3 - 6*s - 8 - 6*s**2 + 4 + s**2. Let x be a(-4). Put 1, -0.1, x in decreasing order. x, 1, -0.1 Let t = 0.3 - -0.2. Let o = t - 0.15. Let f = o + -0.05. Sort -5, 0, f in increasing order. -5, 0, f Let o(v) = 5*v**2 + v - 1. Let g be o(1). Let t(z) = z**2 - 5*z - 1. Let l be t(g). Let p be -2 + (-3 + 5)/(-1). Put p, l, 1 in descending order. 1, l, p Let s be 17/(-15) - 6/(-45). Put -3, s, 5, 2 in ascending order. -3, s, 2, 5 Suppose -5*l + 668 = -3*b, 3*b - 4*b - 1 = 0. Let c be ((-2658)/(-40))/(2/(-4)). Let w = l + c. Sort 0.2, w, 1 in descending order. 1, 0.2, w Let a = -1386 - -6863/5. Let g = a - -727/55. Let x = -2.9 + -0.1. Sort -0.2, x, g in ascending order. x, -0.2, g Let q be (-4 - -3)*-4 - -11. Let f = q - 3. Put 5/4, f, 0 in ascending order. 0, 5/4, f Let k = -12 + 9. Sort 5, 0, k in decreasing order. 5, 0, k Let i = 1.53 + -1.83. Sort 5, 0.5, -4/5, i in descending order. 5, 0.5, i, -4/5 Suppose 14 = -3*z - 16. Let w be (36/30)/((-4)/z). Sort 1, w, 4 in descending order. 4, w, 1 Let y = -331 + 341. Let f be (2*-1)/((-1)/(-1)). Put y, f, 1/4 in ascending order. f, 1/4, y Let u(t) = t**2 + 13*t - 18. Let n = 36 + -50. Let m be u(n). Sort 3, m, -3. m, -3, 3 Let c(x) = -x**2 - 10*x - 18. Let h be c(-8). Put 1, 4, -1, h in descending order. 4, 1, -1, h Let m = 8 + -13. Let d = -5 + 8. Suppose -a = -0*a - 2. Sort m, d, a. m, a, d Suppose 5*a + 5 = 0, 5*j + 5*a = -19 - 6. Put -11, j, 2 in decreasing order. 2, j, -11 Suppose -i + z = 2*i - 20, 30 = 4*i - 2*z. Sort -6, i, 2. -6, 2, i Let x be 2/(-20)*(-20)/(-8). Let j = -1 - -1. Let d(i) = -i**2 - i + 2. Let h be d(j). Sort x, -1/2, h in decreasing order. h, x, -1/2 Suppose -27 = -4*o + 3*w, -2*w + 4*w = -5*o + 5. Let y(u) = -3*u + 4. Let v be y(o). Sort 4, v, -3. v, -3, 4 Suppose -36 = -5*t - 41. Put -4, t, 3 in descending order. 3, t, -4 Let d = 3/10 + -1/2. Sort 0.1, d, -9 in descending order. 0.1, d, -9 Let a be 0 + 7/((-63)/6). Sort -2/5, -4, a in descending order. -2/5, a, -4 Let y = 2 + -4. Sort 0, -5/2, y. -5/2, y, 0 Let k = -130 + 127. Put 4, -0.3, k, 7 in decreasing order. 7, 4, -0.3, k Let m(p) = -p**2 + 8*p - 11. Let k be m(7). Let o be (2 - 3)/((-1)/5). Sort k, o, -2 in ascending order. k, -2, o Let i = -0.044 - 0.246. Sort i, -3, 2 in decreasing order. 2, i, -3 Let z = 334/285 - 16/15. Let l = -4.7 + 4.8. Put l, z, -1 in descending order. z, l, -1 Let v = 22 - 13. Suppose -m = 2*m - v. Sort m, -5, 0 in increasing order. -5, 0, m Let k be (-2)/(-3) + (-3)/(-9). Sort -4, k, 5 in ascending order. -4, k, 5 Let u = -120 + 119.8. Let k = -5 - -7. Let q
{ "pile_set_name": "DM Mathematics" }
k be (-1 + 2)*((-2 - -6) + 9). Suppose 3*m - 40 = -5*u, -8*m = -k*m + u + 20. Sort -3, m, -4, 4. -4, -3, 4, m Let y = -0.24 - -0.77. Let v = -0.83 + y. Sort v, -1/11, 1, 3/4 in ascending order. v, -1/11, 3/4, 1 Let l be -13*(12/78)/(-1). Let b be 16/20*(-10)/(-6). Put l, b, -37 in ascending order. -37, b, l Let x(o) = -5*o - 20. Let b be x(-4). Suppose -4*h = 5*p + 29, -p + 3*p - 3*h + 7 = b. Put 7, p, 1, 0 in increasing order. p, 0, 1, 7 Let q(i) = -i**2 + 5*i - 2. Let b be q(4). Suppose -n + 45*j = 49*j + 4, n - 3 = 3*j. Put b, 82, n in increasing order. n, b, 82 Let i = 6125.2 - 6126. Put 2/25, -0.22, i in decreasing order. 2/25, -0.22, i Let i = -58 + 173.9. Let s = i + -116. Sort 2, s, 0.38 in ascending order. s, 0.38, 2 Let t = -2 + 1. Let x = 3.302 - 3.33. Let k = x - -0.028. Put k, t, -5 in decreasing order. k, t, -5 Let y(k) be the second derivative of k**3/2 - 9*k**2/2 - k. Suppose 6*u - 14 = 2*q + 2*u, 0 = 5*q + 2*u - 25. Let l be y(q). Sort 2, -2/3, l. -2/3, l, 2 Let s be ((-112)/(-6) - 0)*(-525)/100. Sort 5, -1/5, -2/19, s, 0.6 in ascending order. s, -1/5, -2/19, 0.6, 5 Let w = 625 - 614. Let d(k) be the first derivative of -k**3 + 2. Let q be d(1). Sort -1, w, q in decreasing order. w, -1, q Let p = 0.42702 + 2.57298. Let u = 7 - 27. Sort p, 1, -0.01, u in increasing order. u, -0.01, 1, p Let w = 11027 - 165407/15. Let h = -116 + 45. Sort 2, w, -2/5, h. h, -2/5, w, 2 Let h = -5.29 + -0.11. Let v = h - -4.9. Let j = -59 + 63. Sort j, -3, 0.3, v. -3, v, 0.3, j Let k be 264/66 + 1 + -10. Let j be (-33)/55*5 - (0 - k). Put -4, j, 3, 2 in ascending order. j, -4, 2, 3 Let c = 0.18852 + 0.21148. Put 349, c, -3 in ascending order. -3, c, 349 Let n be (5 - (-114)/(-12))*-2. Suppose -a - 2*a = -n. Put 1, a, 4, -3 in increasing order. -3, 1, a, 4 Suppose 23 = 5*x - 2*a, 2173*a + 7 = x + 2172*a. Sort x, -10, -2, -16, 1 in ascending order. -16, -10, -2, 1, x Let x(s) = 5*s**2 + 8*s - 8. Let u be x(-2). Suppose -2*k + 7*k = 2*k. Put k, u, 7 in descending order. 7, k, u Let i be 2*3*(-48)/9. Let b = i - -29. Put 5, b, 0.3 in increasing order. b, 0.3, 5 Let p = 3040 + -3035. Let g = -10.8 + 5.8. Sort -11, g, 2/17, p in decreasing order. p, 2/17, g, -11 Suppose 0 = 26*x + 26 - 0. Sort -9, -2, -3, x. -9, -3, -2, x Suppose -n + 20 = 3*n. Suppose -4*a - 5*h = -28, -a + n*h - h = 14. Suppose -9 = -3*x + 5*p + a, 3 = 3*x - 3*p. Sort x, 0, 2, 1 in decreasing order. 2, 1, 0, x Suppose 0 = -o - 5*x + 25, 0 = 5*o + 6*x - x - 245. Put o, 13, 0 in ascending order. 0, 13, o Let q = -16.8 - -17. Let b = 65.3 - 463.2. Let u = 398 + b. Put u, 0, q, -37 in decreasing order. q, u, 0, -37 Let w(j) = -2*j**3 - 22*j**2 + j + 12. Let z be w(-11). Let c be 48/12*(-2 + z). Sort -5, 2, 3, c in decreasing order. 3, 2, c, -5 Let q = 1336 + -1332. Suppose 3*z + x + 16 = 0, -6*x + 2*x - 4 = 0. Sort 0, q, z, -1 in ascending order. z, -1, 0, q Suppose 757*j = 763*j - 24. Suppose j*p + 5*h = -2, 5*p + 9*h = 11*h + 14. Put p, -5, 5, -4 in descending order. 5, p, -4, -5 Let b = -66 + 65.5. Let s be 3 + (-18)/5 + 140/25. Put s, 2/9, b, 0 in descending order. s, 2/9, 0, b Let k be 2/(6/(-10) - -1). Let a(m) = -m**2 + 2*m + 7. Let v be a(3). Suppose 932*t + 538 = 850 + 620. Sort v, t, -3, k in descending order. k, v, t, -3 Suppose -5*i - 372 = -4*g, -528 = -g + 2*i - 435. Sort g, 0, -2 in ascending order. -2, 0, g Let b = 7181 - 7183. Put b, -3, -2/17, -115/2 in descending order. -2/17, b, -3, -115/2 Let o = 0.0425 + -188.0425. Let u = -190 - o. Sort 0.3, 42, u in descending order. 42, 0.3, u Let u = -3535 + 3555. Put u, -15, -5, 1/5 in decreasing order. u, 1/5, -5, -15 Let z be (3 - 13)*(-44583)/965. Sort -3, z, 5, 2 in descending order. z, 5, 2, -3 Let t = 7.265 + 0.755. Let n = 8 - t. Let p = 378 + -380. Sort n, p, 1/3 in descending order. 1/3, n, p Let d be -16 + 12 + (0 - 1). Suppose 4*h - 5*l + 28 = 0, -12 = -h - 5*l + 6. Let y be ((-1)/2)/((-1)/(-12)). Sort 3, y, h, d in descending order. 3, h, d, y Let u = -3855 + 3852. Sort -1, u, 1274. u, -1, 1274 Let r be ((-6188)/(-13923))/(20/18). Let c(n) = -n**3 + 2*n - 1. Let y be c(-2). Sort -2, r, 2/69, y in descending order. y, r, 2/69, -2 Suppose 3*d + 5 = 3*u - 1, 2 = d. Suppose 2*g + 16 = -u*b, 16 = -11*b + 7*b + 5*g. Put 0, 5, b in decreasing order. 5, 0, b Let t(a) = 431*a**2 - 38*a - 36. Let h be t(-1). Put -3, h, -2 in decreasing order. h, -2, -3 Suppose 0*m = -10*m + 20. Suppose -4*w + 28 = m*i, -4*w + w = -3*i + 15. Let j be (7 - 44/i) + 91/(-2). Sort j, 5, -2. j, -2, 5 Suppose -10*k + 2800 = -6*k. Suppose -9*f + k = -37*f. Let c = -206/45 + 24/5. Put f, 1, 3, c in increasing order. f, c, 1, 3 Let d be 20*(-21 + 18)/(3/1). Put -25, 0, d in decreasing order. 0, d, -25 Let o be (6/(-15))/((-1)/(-5)). Let y = -723 + 723. Suppose y = i - 5*j - 3 - 0, 5*j + 17 = -i. Put 2, 4, o, i in increasing order. i, o, 2, 4 Let m be 7/(189/(-2)) + 0. Let t be (11 - 600/54)/((-8)/(-12)). Sort -2, m, 0.5, t. -2, t, m, 0.5 Let m = 16429 + -16404. Put m, 5, 9 in increasing order. 5, 9, m Let b = 15 - 7. Suppose -9*o + 37 - 73 = 0. Sort o, -2, -1, b in decreasing order. b, -1, -2, o Suppose 2*i = 5*m + 3, -4*m + 5 = m. Suppose -5*c - 5 = -g - 18, -28 = -i*g + 4*c. Let x be (-18)/g*4/(-6). Sort -5, x, -1, 2 in increasing order. -5, -1, x, 2 Let o = 1 + 0. Let r = 397 + -398.82. Let c = -0.18 + r. Sort -1, o, 4, c in descending order. 4, o, -1, c Let l = -33225127/462 - -71916. Let h = 2/77 + l. Let v = -0.2 + 0.1. Sort h, v, 0.3 in descending order. 0.3, h, v Let m = -0.04 - 0.03. Let y = 2385.07 + -2385. Let b = y + m. Sort b, 1, 1/5 in decreasing order. 1, 1/5, b Suppose -o = 0, -y - 3*o + 40 = 4*y. Suppose 0 = 2*t - 4*x - y, -2*t - 3*x - 2*x = 28. Suppose -4*f + 8 = 16. Sort 2, t, 0, f in descending order. 2, 0, f, t Let l = -231.6 - -436. Let m = l - 204. Let b = 0.4 - -4.6. Sort m, b, -2, 1 in descending order. b, 1, m, -2 Suppose -8 = 3*f + f. Let u be 8/(-20)*(30 + -175). Sort u, -5, f in ascending order. -5, f, u Let k(h) = 4*h**2 + 155*h - 37. Let p be k(-39). Suppose 27*d - 11*d = 176. Sort -2, d, p in descending order. d, p, -2 Let c = 0.2 - 0.3. Suppose 5*y - 15 = 4*r, 2*r - 48 = -4*y - 36. Let i be (y/(-1))/((-21)/28). Sort 0.2, -1, i, c in decreasing order. i, 0.2, c, -1 Suppose 11*k - 3*b = 15*k - 29, 5*b = 5*k - 10. Sort 2, k, -3, -2. -3, -2, 2, k Suppose 3*b + y = 58, 3*y + 39 = 2*b - 7. Suppose 0 = 5*j + b, -6*g = -7*g + 2*j + 2. Put g, -4, -1, 3 in decreasing order. 3, -1, -4, g Let h = -1/267 - -551/4539. Let k = h - -24/85. Let c = -1410 - -1410.2. Sort k, c, 6 in increasing order. c, k, 6 Suppose 1 - 5 = -4*k, -5*r + 5*k = 0. Let a = -188 + 129. Let d = a - -59. Sort -10, r, d, 2 in ascending order. -10, d, r, 2 Let d be (-1 - 0)/(2/(-4)). Let j be 0 + d/16*6. Let n = 65.9 + -66.4. Put -2, j, n in decreasing order. j, n, -2 Let h be (-2)/3 + (-19)/(-42). Let n = 27423/14 + -5878/3. Let c = h - n. Sort -0.4, c, -1/7 in decreasing order. c, -1/7, -0.4 Let d = -3/347860 + -1540671877/7305060. Let j = -211 - d. Let p = 33998 - 33989. Sort p, 2/5, j, -0.5. -0.5, j, 2/5, p Let w = 12 + -20. Let g be -4 + (0 + 24/46)*(-124729)/(-10846). Put -5, w, -1, g in decreasing order. g, -1, -5, w Let n = 25 + 10. Let s = -45.6 + n. Let d = -5.6 - s. Sort -2, -5/3, d in descending order. d, -5/3, -2 Let u be (-25)/(-50) - (3/6 + 2). Suppose -5*o + 3*o - 6 = 0. Let g be o/(-6) - (-54)/(-12). Put 3, g, u in descending order. 3, u, g Let p = 203 - 200.7. Let l = p - -1.7. Sort l, -1/3, 11. -1/3, l, 11 Let f = -108 - -121. Let s be 1*f/((-91)/(-14)). Suppose -6*r - 20 = -r. Sort 20, r, s in descending order. 20, s, r Let h = -1405 - -1401. Suppose 0 = 3*j - j + 6. Let t be (9 - 2 - 2) + (-1 - 6). Sort h, t, j, 4 in increasing order. h, j, t, 4 Let q = 71171 + -71171.5. Let t = -2.4 - -2. Sort t, 6/13, q, 5. q, t, 6/13, 5 Suppose 18 = 4*c + 3*v, -2*v + 12 = 8*c - 9*c. Put 322, -8, c in descending order. 322, c, -8 Suppose -5*n = 9 + 6. Let b be (-6)/22 - 267/(-979). Sort -4, b, -1, n in decreasing order. b, -1, n, -4 Let h = 0.1289 + -5.1289. Put h, 2, -0.02, -0.3, -1/77 in descending order. 2, -1/77, -0.02, -0.3, h Let j be 355*(-5 + -1)*(-3)/30. Let g = j - 211. Suppose -q - q + 1 = -5*c, 11 = 4*q - c. Sort 5, g, q, -4. -4, g, q, 5 Let
{ "pile_set_name": "DM Mathematics" }
0 What is the value of ((-136)/22)/(34*63/(-11781))? 34 (-3)/(-6)*3*(-126)/(-1323) 1/7 What is (209/(-88))/(2/(-8))*(-8)/2? -38 Evaluate 9/(-198)*-22*(-10)/6. -5/3 What is (120/(-39))/(-40)*(-1)/((-2)/6)? 3/13 What is (-90)/(-15)*-2*-1*2? 24 (15*28*(-10)/(-3150))/(8/114) 19 Calculate ((60/(-117))/10)/(6/18). -2/13 Evaluate 630/5250*(-3)/((-24)/20). 3/10 What is ((-2)/(-54))/((-199)/398)? -2/27 72/342*(-63)/98*(-28)/(-24) -3/19 (1/(-7))/(1434/6692) -2/3 What is -7*(-150)/(-25)*4/84? -2 Evaluate ((3/3)/(39/(-78)))/((-16)/(-40)). -5 What is the value of (((-2790)/(-36))/31)/((-10)/48)? -12 15/18*-4*((-60)/(-5))/(-4) 10 What is the value of (4*-9)/(-9)*(-14)/70? -4/5 Calculate -1*((-2)/(22/(-1)))/(18/66). -1/3 Evaluate 582/(-3104)*(-1)/(-3). -1/16 What is the value of (-2)/(24/42)*-2? 7 What is the value of 18/(-4)*1188/(-2673)? 2 Calculate ((-63)/4)/7*(-48)/(192/16). 9 What is the value of (4/(-56)*1)/(8/32)? -2/7 (6/(-92))/1*(-31096)/11661 4/23 Evaluate 6/7*13/(130/140). 12 ((-141)/(-1974))/(((-6)/2)/18) -3/7 What is 2280/285*(-1)/((-6)/9)? 12 112/(-320)*-5*6/(-42)*-92 23 What is 32/56*560/(-360)? -8/9 What is 7/28*(4/6)/(4/(-6))? -1/4 (((-9)/(-30))/(-3))/(192/2400) -5/4 Calculate (2/(-26))/((-35)/(-70)). -2/13 What is (12/3834)/(120/(-1080))? -2/71 What is 25/(-150)*156/6*3*1? -13 Calculate (6/(-36))/((26/(-4))/(-13)). -1/3 8*3/(108/(-4))*8/(-16) 4/9 Calculate ((-36)/21*7/28)/((-5)/5). 3/7 Calculate ((-10)/24)/(730/292). -1/6 What is (((-319)/(-55))/29)/7? 1/35 What is (297/(-330))/((-6)/10)? 3/2 What is the value of (-6)/(-1*(-200)/60)? -9/5 What is the value of -6*64/42*105/(-30)? 32 Calculate 4*((-567)/72)/21*(-190)/(-15). -19 What is the value of ((-1330)/20)/19*36/18? -7 What is the value of (114/9)/(494/156)? 4 Evaluate (-1854)/(-927)*(1/4)/((-8)/6). -3/8 Calculate 5*5/(-10)*(-19)/((-114)/24). -10 What is ((10/6)/(48/512*40))/(-4)? -1/9 ((-250)/20)/((629/(-34))/(-37)) -25 (-1056)/(-880)*(12/(-16))/((-9)/(-6)) -3/5 Calculate ((-1)/(-8))/(((-1)/5)/((-106)/265)). 1/4 What is the value of 366/305*20/8? 3 Evaluate (-17)/(3*((-224)/(-42))/(-16)). 17 Evaluate (-58)/145*85/2. -17 Calculate 1*((-48)/80)/(9/75). -5 ((192/(-40))/(-12))/(2*4/(-280)) -14 Calculate ((-2)/40)/1*3616/(-1356). 2/15 12*6/81*-1*(-48)/64 2/3 What is the value of (((-85)/(-15))/(-17))/((-2)/(-18))? -3 What is (72/(-180)*(-6)/(-4))/(8/(-10))? 3/4 Calculate 12/(-16)*4*(-30)/(-9). -10 Calculate 140/150*(-4)/28*6*-40. 32 What is the value of (-2)/14*(-28)/22*55/(-20)? -1/2 Evaluate (754/(-87))/(280/(-60)). 13/7 Evaluate (((-104)/1)/8)/((-27)/(-9)). -13/3 What is the value of (-6)/(-216)*40*(-33)/11? -10/3 What is (16/28)/(460/161)? 1/5 (70/1036)/((((-35)/4)/(-7))/1) 2/37 ((-348)/2030)/(2/10*1) -6/7 3/(1*(-10)/2) -3/5 Calculate ((-10)/(-3))/(1008/(-7560)). -25 What is the value of 44*(((-45)/54)/1)/(5/(-3))? 22 Calculate (480/(-280))/(60/(-21)). 3/5 (-42)/24*(1960/42)/(-35) 7/3 Evaluate ((-8)/150)/2*(-4)/48*-36. -2/25 Evaluate (((-51)/357)/(1/14*-2))/(-2). -1/2 Evaluate (44/(-24))/(55/(-110)). 11/3 Calculate (-1104)/(-1288)*4/((-12)/21). -6 Calculate ((-2)/2)/(2*(-20)/(-40))*27. -27 Calculate (-1145)/458*4/10*-8. 8 What is (-24794)/644*(-2)/7? 11 ((-128)/224)/1*(-7)/(-22) -2/11 ((-65)/((-216125)/(-600)))/((-8)/(-28)) -12/19 Calculate (4*(-8)/70*-7)/(2/5). 8 ((-4855)/11652)/(-2*95/16) 2/57 Evaluate ((-20)/27)/(((-10094)/441)/103). 10/3 What is ((-11)/(-11))/((-450)/1530)? -17/5 What is the value of 10/8*(-2120)/(-265)? 10 Evaluate ((-185)/6)/(5/(-6)). 37 What is the value of (-10)/(-12)*32*(-24)/(-512)? 5/4 Calculate (128/448)/((-30)/14). -2/15 (495/33)/(-45)*1 -1/3 Evaluate ((-4)/(-14)*(-35)/15)/((-194)/291). 1 320/(-160)*-7*(-2)/(-4) 7 Calculate (175/385)/((-33)/121). -5/3 What is ((-6)/(-20))/((-5103)/324)*14/(-10)? 2/75 What is the value of (24/((-36)/6))/(8/20)? -10 ((-15)/5)/((-108)/(-972)) -27 Evaluate 5/(((-448)/24)/8)*-7*1. 15 Evaluate 26/(-273)*63/(-144). 1/24 Calculate ((-35)/(-77))/(124/(-682)). -5/2 Evaluate ((-6)/(66/(-11)))/((-93)/(-6)). 2/31 What is the value of ((-140)/(-8))/(-1)*20/(-25)? 14 Calculate 69/69*20/(-6). -10/3 What is (14/(15680/(-96)))/(((-3)/(-3))/25)? -15/7 45/(-20)*(16/30)/(6/60) -12 Calculate 12*45/(-360)*40/4. -15 What is the value of ((-36)/130)/(1947/(-3245))? 6/13 What is the value of (-430)/1075*50/14? -10/7 What is the value of (198/88*-2)/(((-20)/(-4))/(-20))? 18 Evaluate (((-1664)/(-468))/8)/(6/(-1)). -2/27 95*31/21204*3 5/12 Evaluate ((-12975)/1038)/(5/(-14)). 35 What is (-144)/(-36)*6/(-4)*(-16)/(-96)? -1 What is ((147/(-7))/(-42))/((-1)/(10/4))? -5/4 What is the value of (40/(-6))/5*41/((-2952)/54)? 1 What is the value of 15/6*13*(-264)/(-2145)? 4 ((-230)/(-5175)*18/2)/((-6)/5) -1/3 ((-2)/(-4*(-2)/39))/((-7998)/(-2666)) -13/4 What is the value of 570/40*(-132)/(-99)? 19 Evaluate 3*120/(-9)*382/(-1528). 10 What is the value of (-33)/(-9)*1862/30723? 2/9 Calculate ((-5148)/42)/(-11)*11*84/264. 39 Evaluate (17*24/(-408))/(1/((-11)/(-1))). -11 Evaluate (-12)/80*1245/1494. -1/8 Calculate ((-514)/7710)/((-102)/45). 1/34 What is ((-492)/(-205)*-65)/4? -39 What is ((-14)/(-10))/((-64)/(-40))*(-20)/10? -7/4 Calculate ((-9)/3*15)/(75/(-25)). 15 What is -6*((-612)/(-1785))/(12/10)? -12/7 (4/(80/(-30)))/((-5)/((-100)/5)) -6 What is the value of (5/(-8))/(-20*(-17)/(-136))*12? 3 What is (180/20)/(4/(192/6)*8)? 9 What is ((-1710)/(-12))/(-19)*-2*4/20? 3 What is the value of 171/((-38988)/(-760))*1*3? 10 What is -10*(650/(-25))/(-52)? -5 What is the value of 2/(-65)*(-1840)/736? 1/13 -13*120/(-156)*((-3)/(-72))/(-1) -5/12 What is ((-11)/(99/14))/(8/(-72))? 14 Calculate (-25)/(-4)*(-16232)/10145. -10 What is 1*(0/(-2))/((36/4)/3)? 0 What is 1/(2/1*-376*(-11)/176)? 1/47 Calculate (-54)/420*((-2)/14)/(45/(-525)). -3/14 What is (5166/16359)/(4/(-2))? -3/19 What is the value of ((-15)/(-10))/(216/3024)? 21 Calculate (-316)/474*39/2. -13 Calculate -14*4/112*15/(-9). 5/6 Evaluate ((-12)/21)/(54*(-22)/(-462)). -2/9 Evaluate (((-12)/32)/((-9)/12))/((-1030)/(-3296)). 8/5 What is 2/(-3)*((-558)/(-248))/(6/(-20))? 5 11/(((-6)/(-9))/(36/54))*-1 -11 Evaluate 1/8*3*-98*(-16)/(-504). -7/6 What is the value of (-309)/(-309)*9/(-2)? -9/2 Evaluate (1275/((-25)/(-1)))/(9/3). 17 What is the value of 3/(-2)*(-3264)/(-288)? -17 Evaluate (31/(9765/(-450)))/(((-15)/(-63))/5). -30 What is -19*(-49)/266*(-2)/(-2)*-2? -7 Evaluate (9/(-12))/((-33)/4)*(-22)/(-8). 1/4 Calculate (2247/(-1605)*16/7)/((-2)/10). 16 Evaluate (-30)/(-30)*((-5)/(-2))/(-5). -1/2 What is ((-270)/(-105)*3)/(6/21)? 27 Evaluate ((-14)/(-504))/(42/(-189)). -1/8 What is (-10)/5*(-27)/(-54)*1/4? -1/4 What is the value of (-7)/((-5)/(5/12)*44/(-528))? -7 Calculate ((-60)/(-24))/(15/72). 12 Calculate 1*3/(-54)*(-7)/((-21)/(-4)). 2/27 What is the value of ((-4911)/(-65480))/(6/8*(-2)/(-6))? 3/10 ((-2)/56)/((-11576)/10129) 1/32 Calculate ((-1056)/10164)/((-16)/168). 12/11 (-12)/(-10)*-15*(-30)/180 3 Calculate (-25)/(900/(-198))*2/1*-3. -33 Evaluate (4/(-12))/(110/(-4)*50/(-375)). -1/11 Evaluate ((-84)/10)/((-74)/185). 21 What is (-50)/(-80)*(-48)/(-40)*3/9? 1/4 Evaluate 6/(72/12)*1/(-8). -1/8 Evaluate ((3*36/(-81))/174)/(2/(-18)). 2/29 Calculate ((-7)/((-98)/2))/((-48)/48). -1/7 (200/(-160))/(-10*6/(-1440)) -30 What is ((-476)/(-70))/(46/(-115))? -17 Calculate (3484/2144)/(((-1)/2)/1). -13/4 7/(-175)*4/(-4)*-5 -1/5 What is (500/(-900))/(5/(-2))? 2/9 (-3336)/139*98/(-84) 28 Calculate 10*((-25)/(-110))/(-5)*16/(-40). 2/11 What is the value of ((-24)/(-28)*(-69)/(-207))/((-36)/(-14))? 1/9 What is the value of (-2)/(-20)*3*(-5)/48*4? -1/8 What is the value of ((-18)/195)/((-14)/(-637)*-7)? 3/5 Calculate ((-6)/30)/((-12)/(-580))*72/24. -29 1*(4/(-12))/(2/(36/2)) -3 (-144)/(-32)*1*2/(-1)*-1 9 Evaluate ((-14)/12)/(-7)*141/94. 1/4 Calculate 10*(-37)/((-2442)/33). 5 What is the value of ((-12051)/(-130))/103*(-2)/3? -3/5 Calculate 46/(-299)*(-416)/(-768). -1/12 What is the value of (1/(-2))/((-8)/(-10)*(-605)/(-88))? -1/11 ((-179)/(-179))/(3*-83)*6 -2/83 What is (-8)/45*26/52*(-12)/8? 2/15 ((-20)/920*-23)/((4/(-18))/(-2)) 9/2 Calculate (26/((-16016)/330))/(3/24*6). -5/7 Calculate (((-1456)/14)/(-26))/((-114)/(6/2)). -2/19 What is the value of (-76)/(-19)*7/(-70)? -2/5 (7/(-10))/(399/(-95)) 1/6 What is the value of 3/((-3
{ "pile_set_name": "DM Mathematics" }
lculate -462462969*3. -1387388907 What is 4 times -517.0115? -2068.046 6.693*0.043957 0.294204201 -349 * 14564 -5082836 Work out 0.1248 * 27950. 3488.16 Product of -82941252 and -0.2. 16588250.4 Product of 27.6 and 0.05457. 1.506132 Calculate 6.3*8.3563. 52.64469 59798 times -1885 -112719230 2.8196487 times -7 -19.7375409 2 * -192772.06 -385544.12 0.08875*0.0509 0.004517375 What is -347.015 times 22? -7634.33 Product of 0.3 and 24329791. 7298937.3 0.96 * 697963 670044.48 Multiply 1259274.5 and -2. -2518549 Multiply -14645344 and -5. 73226720 -3 times -158984179 476952537 -4 times -5082880.1 20331520.4 -3776954 times -0.3 1133086.2 3*21.45926 64.37778 Multiply -320991073 and -0.4. 128396429.2 What is 0.12 times 11091715? 1331005.8 Calculate -527*-0.99453. 524.11731 Calculate 188433*-0.048. -9044.784 Work out 4 * -0.019124327. -0.076497308 What is the product of 177914 and -2221? -395146994 Multiply -0.08 and -47.82612. 3.8260896 Multiply -123574 and -0.21. 25950.54 Calculate -19914644*-2. 39829288 -377388.93 times 0.5 -188694.465 Calculate 0.6*62486.06. 37491.636 Calculate 0.436*-0.702. -0.306072 Product of -6 and 138293. -829758 -0.02 times 8114914 -162298.28 Product of 2784 and 1640. 4565760 -108783*-10 1087830 What is the product of 391.1226 and -1.2? -469.34712 Multiply -9114.07 and 2. -18228.14 What is 38864 times -190? -7384160 -1.195457*-55 65.750135 Product of 4250 and 440. 1870000 45047*18013 811431611 Calculate 3.5497*-91. -323.0227 What is the product of 5 and -2010.545? -10052.725 Multiply -6 and -0.0744949. 0.4469694 Calculate 14241075*-1. -14241075 Product of -27523 and 2967. -81660741 55 * 605875 33323125 What is 103.092 times 48? 4948.416 -389456.45 * -0.4 155782.58 Work out 166911.832 * -0.3. -50073.5496 0.5 times -2537952.66 -1268976.33 0.12 * -3.821596 -0.45859152 -11.87 times 176294 -2092609.78 What is the product of 65.9764 and 0? 0 What is -53429986 times -1? 53429986 27973825 times 11 307712075 Work out -5 * 80460.6. -402303 What is 41779.2449 times 5? 208896.2245 Work out -146 * 5.648598. -824.695308 Work out -1018.3 * -30.27. 30823.941 Work out 0.3 * -8194737. -2458421.1 What is -227.6 times 43361? -9868963.6 Calculate -0.00433*16.09. -0.0696697 -77.883 * -2635 205221.705 246517.2 * 0.2 49303.44 Calculate 3151*-21.683. -68323.133 What is -19976.92 times 859? -17160174.28 Work out 6.3643076 * -0.3. -1.90929228 What is 3549147 times 28? 99376116 1.3849*-96 -132.9504 407 * -18727 -7621889 Work out -0.058861653 * 0. 0 What is the product of -1 and -3269847? 3269847 -1583216*53.4 -84543734.4 What is the product of 664.3 and 67041? 44535336.3 Multiply 0.77 and -571234. -439850.18 Work out -348.153 * -7. 2437.071 6*25018.5 150111 66708.5 times 631 42093063.5 What is 4 times -50423565? -201694260 5339168.7*1 5339168.7 What is the product of 17.814 and 0.829? 14.767806 Multiply -9998882 and 1. -9998882 Product of 5.7 and -0.4147747. -2.36421579 Work out -0.2 * 719.41267. -143.882534 9128334 times -23 -209951682 Multiply 31394 and -2957. -92832058 0.25927 times 4897 1269.64519 -1486.54695*0.2 -297.30939 Work out 11666079 * -1. -11666079 Multiply -0.4 and 214319. -85727.6 -183 * 821427 -150321141 277.529 times -49 -13598.921 -2 times 9649982 -19299964 -719197 times -1.59 1143523.23 Multiply -0.3 and -3729791. 1118937.3 What is -9536935 times 0.2? -1907387 1695.666 * 0.05 84.7833 -15047 times -224 3370528 Work out -6657 * 0.0153. -101.8521 Work out -47804 * -10.102. 482916.008 Calculate 0.4*-4.0675013. -1.62700052 Calculate 14312.997*4. 57251.988 What is 0.177426 times 1995? 353.96487 Calculate 4081*948. 3868788 Work out 66.472723 * -0.2. -13.2945446 31.4191 times -2805 -88130.5755 -28.978 times 3.59 -104.03102 -906.26 times 141 -127782.66 Product of 3 and 180.49515. 541.48545 -14413*836 -12049268 Calculate 0.7418*-3.07. -2.277326 2476727 * -4 -9906908 Product of 2.15 and 3154437. 6782039.55 What is the product of 10573 and -0.0798? -843.7254 Multiply -127432 and -7.2. 917510.4 -344.5371*5 -1722.6855 What is 0.14329 times -803? -115.06187 Work out 0.7687 * -1996. -1534.3252 -0.045535 * -1.09 0.04963315 -1204.7 * 95.6 -115169.32 Product of -0.2 and -8250.8575. 1650.1715 -1.7 * 159838 -271724.6 Calculate 0.05924*0.2744. 0.016255456 1.538 * 6952 10692.176 Work out 0.67 * -3047.16. -2041.5972 Calculate 0*3952433. 0 51.712 times 0.0281 1.4531072 What is the product of 6 and 154892898? 929357388 20.88*-3316 -69238.08 Calculate -2*6272110. -12544220 Calculate 0.0027729*0.5. 0.00138645 Product of 0.5 and 223085. 111542.5 What is -10120 times 132.7? -1342924 Work out -0.31 * -366058.8. 113478.228 Work out -1970216 * -106. 208842896 -2*-556161 1112322 Work out 910634.53 * -5. -4553172.65 505*14591 7368455 What is the product of 0.72 and -1014357? -730337.04 -348566*-0.285 99341.31 Product of 50237756 and 0.4. 20095102.4 Work out 0.168 * -82025. -13780.2 Work out 4169197 * 5. 20845985 8 * 0.102553 0.820424 What is -1.07494 times 0.023? -0.02472362 What is the product of -643.4 and -1021.8? 657426.12 What is the product of -109941 and -5? 549705 What is the product of -552 and 7071? -3903192 -0.5*-16.6835 8.34175 Calculate -0.033*-4101.1. 135.3363 Calculate -4.738*-1929. 9139.602 -120825 * -0.235 28393.875 8837 times 0.00786 69.45882 -26.5057 times 14 -371.0798 Work out 10.6997225 * 0.2. 2.1399445 What is the product of -10682 and -74? 790468 Product of 45.912 and 8.96. 411.37152 -345*4.6932 -1619.154 Work out -67 * 210548.9. -14106776.3 What is -86577 times 198.2? -17159561.4 7272*-10568 -76850496 -812585 * -9 7313265 What is the product of 44154.6 and -0.532? -23490.2472 What is 26239758 times 0.1? 2623975.8 Calculate -9937*-2.509. 24931.933 -55.92*-4223 236150.16 What is 768 times -0.104101? -79.949568 Multiply 16.8 and 225982. 3796497.6 Product of -500.76 and 825. -413127 What is 0.17 times -10273398? -1746477.66 What is the product of 598 and -426322? -254940556 What is -189743731 times 2? -379487462 Multiply 0.1 and -2.875471. -0.2875471 Product of 64.227724 and 0.04. 2.56910896 Product of 8950552 and -5. -44752760 Calculate 6.25*5618.5. 35115.625 Product of 469 and 1.18178. 554.25482 What is -943 times -20373? 19211739 -5 * -7463134 37315670 What is -6.005257 times 40? -240.21028 Calculate -0.4*-6223785. 2489514 Work out -540293 * 0.087. -47005.491 Multiply 0.04 and 53.355. 2.1342 Calculate 1611408*-14. -22559712 -115 times 1529512 -175893880 Multiply 83.86 and -2.19. -183.6534 What is -925.88315 times -7? 6481.18205 Calculate -133.9*-3635. 486726.5 Multiply 0.2 and -10698255. -2139651 1.7635493 times 0.4 0.70541972 Calculate 2405*-1.654. -3977.87 Work out -6 * -789427. 4736562 Calculate 4.35*57636. 250716.6 What is -1.895294 times -0.1? 0.1895294 65 * 5471726 355662190 386*34345 13257170 What is -5 times 60973871? -304869355 What is the product of 4 and 411280? 1645120 -217.4069 * -3 652.2207 -194 times -3414537 662420178 Multiply -3 and 1138192. -3414576 -0.5*3579606 -1789803 What is -0.404 times 57.462? -23.214648 Multiply 0.02 and 3687955. 73759.1 Product of -17.125 and -0.030477. 0.521918625 Calculate 0.05*14613780. 730689 What is 23 times 1908.556? 43896.788 30702.37 * 2.4 73685.688 Calculate -1167247*-0.91. 1062194.77 Work out -0.2 * -112.7911. 22.55822 Product of -62.60915 and 0.5. -31.304575 Multiply -10.4 and 46478. -483371.2 Product of 0.1 and -0.4884356. -0.04884356 What is 18 times 263.3728? 4740.7104 Calculate -549*-430970. 236602530 Multiply -0.2 and -744051. 148810.2 Multiply -5.7 and -2603920. 14842344 -35044.3553 times 0.4 -14017.74212 Product of -0.09048 and 139. -12.57672 What is -140 times -702.87? 98401.8 -1439*7655 -11015545 0.00203 times 0.124 0.00025172 Product of 0.2 and -1547580.8. -309516.16 7*-39575.77 -277030.39 Product of -274101 and -944. 258751344 Multiply -0.5 and 10.853581. -5.4267905 Work out -3604 * -8.53. 30742.12 Product of 0.2 and 3208991. 641798.2 Work out -11860 * 3.1429. -37274.794 -37*-3415.343 126367.691 Product of 117.578598 and -0.1. -11.7578598 Work out -25.344 * 583.8. -14795.8272 What is 19 times -61709? -1172471 Calculate 31455*-0.0027. -84.9285 -1.5366 times 848 -1303.0368 -1097.35 times -0.01068 11.719698 0.2 * -2906369 -581273.8 Work out -16.93046 * 0.15. -2.539569 What is the p
{ "pile_set_name": "DM Mathematics" }
Let y(k) = 292*k**2. Let m(c) be the second derivative of c**3/3 - 4*c - 34. Give m(y(x)). 584*x**2 Let d(w) = 7239*w**2. Let r(c) = -2*c**2 + 424*c. Calculate r(d(k)). -104806242*k**4 + 3069336*k**2 Let t(a) = -5*a**2. Let y(v) = -128 + 143*v - 65*v - 74*v + 50. What is t(y(n))? -80*n**2 + 3120*n - 30420 Let n(b) = -10*b. Let h(x) = -146598 + 146598 - 64*x**2. What is n(h(m))? 640*m**2 Let z(r) = 3*r + 271. Let f(w) = -920*w**2 - 2*w + 2. Give z(f(u)). -2760*u**2 - 6*u + 277 Let m(t) = 2*t + 4. Let v(h) = -h + 2422544. Give m(v(n)). -2*n + 4845092 Suppose -s + 30 = 2*v, 3*s - 40 = -2*v - 2. Let c(p) = 3*p + p + 39*p - 6*p - v*p. Let q(a) = -3*a**2. Determine q(c(k)). -1728*k**2 Let g(r) = -19*r**2. Let i(h) = h**2. Let k be (3 - 4) + 1 + 2177. Let l(w) = k*w - 2177*w - w**2 + 0*w**2. Let d(c) = -3*i(c) - 4*l(c). Calculate d(g(y)). 361*y**4 Let h(n) = -1232*n**2 + 5*n + 1. Let x(c) = c**2 - 5*c - 1. Let z(v) = h(v) + x(v). Let l(a) = 7*a**2. Give l(z(s)). 10607527*s**4 Let l be 2/(-4)*1138*(-9 + 4). Let a(o) = -2845*o + 20*o**2 + l*o. Let d(j) = 3*j - 5*j + 2*j - j. Give d(a(u)). -20*u**2 Let r be (33/(-5))/((-9672)/(-880) + -11). Let n(v) = -726 - 6*v**2 + r. Let k(i) = -4*i**2. Calculate k(n(l)). -144*l**4 Let d(g) = 67*g**2 - 129*g**2 + 64*g**2. Suppose 4*t = -6*t + 2*t. Let q(i) = 23*i + 0 + t - 17*i. Calculate q(d(f)). 12*f**2 Let p(o) = 8*o + 19. Let f(y) be the second derivative of 3*y**3/2 + 4744*y. Calculate p(f(i)). 72*i + 19 Let f(l) be the first derivative of -l**3/3 - 398. Let c(j) = -308*j. Give c(f(w)). 308*w**2 Let p(c) = -529*c - 16 - 36 + 50. Let j(r) = r**2. Determine j(p(d)). 279841*d**2 + 2116*d + 4 Let w(d) = -51*d**2 + 26. Let f(h) = h**2 - 24. Determine f(w(a)). 2601*a**4 - 2652*a**2 + 652 Let y(t) = -t**2 - 15*t - 4. Let b be y(-13). Let i(u) = 2*u + 22 - b. Let n(f) = 44*f - 58*f - 17*f**2 + 5*f + 9*f. What is n(i(q))? -68*q**2 Let w(q) = 5*q**2. Let m = 202 - 138. Let u(s) = 72*s - 144*s + m*s. What is u(w(v))? -40*v**2 Suppose 9*k - 12*k = 21. Let q be (k - (-34)/4)*(-8)/(-6). Let z(g) = 2*g + q*g - 2*g + 6*g. Let x(b) = -2*b. What is x(z(j))? -16*j Let k(d) be the third derivative of -19/4*d**4 + 1/6*d**3 + 2*d + 2*d**2 + 0. Let y(t) = -2*t**2. What is k(y(f))? 228*f**2 + 1 Let m(p) = -8*p + 233. Let r(o) be the third derivative of o**4/8 - 196*o**2 - 2*o. What is m(r(l))? -24*l + 233 Let k(y) = -264717825*y**2. Let j(r) = r**2. Calculate k(j(a)). -264717825*a**4 Let r(k) = 8*k. Let s(z) = -810*z + 1514. Give s(r(f)). -6480*f + 1514 Suppose 0 = 2*q - 2*k - 14, 3*k + 2 = -q - 3. Let m(s) = 2*s - 7*s + q*s. Let f(y) = -2*y**2. Let z(u) = 5*u**2. Let l(r) = -7*f(r) - 2*z(r). Calculate m(l(w)). -4*w**2 Let j(b) = 181*b**2 + 21. Let x(p) = 1690*p**2 + 195. Let m(k) = 65*j(k) - 7*x(k). Let h(d) = 12*d**2. What is h(m(s))? 50700*s**4 Let d be ((-14)/(-21))/((-1)/(-6)). Let l(c) = 0*c + d*c + 4*c - 6*c - 3*c. Let o(t) = -5*t - 6. Determine l(o(z)). 5*z + 6 Let c(m) be the third derivative of -11*m**4/8 + m**3/3 - 979*m**2. Let d(x) = -38*x. What is c(d(h))? 1254*h + 2 Let c(u) = -3*u**2. Let t be (-1)/((-3)/(-12)) - (1 + -3). Let j = 0 - t. Let i(g) = 3 - 3 - 4*g**2 + j*g**2. Calculate c(i(n)). -12*n**4 Let z(n) = 6187762*n**2. Let h(d) = 32*d**2. Determine h(z(w)). 1225228754196608*w**4 Let b(d) = 4*d. Let s(o) = -65805*o**2. What is b(s(h))? -263220*h**2 Let j(u) be the second derivative of -u**3/6 + 624*u. Let p(t) = -6*t - 1. Let s(m) = -m + 1. Let d(k) = -p(k) - s(k). Determine d(j(z)). -7*z Let n(t) = -2*t. Let u(o) be the third derivative of -4*o**5/15 - 8*o**3/3 + 1678*o**2. What is n(u(k))? 32*k**2 + 32 Let b(c) = 3*c**2 + 363. Let r(x) = 5*x**2 - 23*x. Give r(b(g)). 45*g**4 + 10821*g**2 + 650496 Suppose 19*f - 3085 = -3218. Let m(k) = 3*k + 4. Let c(r) = -7 - 7*r + 0 + 0*r. Let x(a) = f*m(a) - 4*c(a). Let w(d) = 5*d**2. Calculate x(w(i)). 35*i**2 Let i(p) = 4697*p**2 + 4026. Let h(q) = 4*q**2 + 3. Let s(d) = 4026*h(d) - 3*i(d). Let t(x) = -2*x**2. Determine t(s(n)). -8104338*n**4 Let v(x) = -21*x. Let o(u) = -89533*u**2 + 142*u + 89535*u**2 + 50*u. Determine o(v(j)). 882*j**2 - 4032*j Let s(x) = -351680*x + 63. Let r(k) = 2*k. Determine r(s(o)). -703360*o + 126 Let d be 12/(-2) + ((-18)/15)/((-12)/280). Let g(j) be the first derivative of 0*j**2 + d + 0*j - 2/3*j**3. Let v(k) = 9*k**2 - 3*k. Give v(g(f)). 36*f**4 + 6*f**2 Let n(i) = 11*i - 10556. Let z(v) = -42*v. Calculate z(n(q)). -462*q + 443352 Let a(v) = 3*v - 225. Let b(q) be the first derivative of -3*q**2 + 282. What is a(b(z))? -18*z - 225 Let n(t) = -14 - 24*t - 27*t + 91*t - 15*t. Let a(h) = -h. What is n(a(d))? -25*d - 14 Let s(d) = -3. Suppose 0 = 23*y - 54*y - 93. Let n(w) = w**2 - w + 5 + w. Let o(b) = y*n(b) - 5*s(b). Let k(u) = 4*u**2. Determine k(o(t)). 36*t**4 Let f(u) = -60992124*u. Let o(g) = -4*g. What is o(f(l))? 243968496*l Let o(y) = 460340292*y. Let j(q) = q**2. What is j(o(z))? 211913184438645264*z**2 Let l(w) = -2*w**2. Let p(m) = -m - 2604992. What is p(l(j))? 2*j**2 - 2604992 Let m(c) = -110*c. Let g(o) be the second derivative of -o**3/3 - 30*o + 16. What is g(m(v))? 220*v Let i(l) be the first derivative of -5*l**2/2 + 62*l - 1002. Let x(r) = 5*r**2. Calculate i(x(a)). -25*a**2 + 62 Suppose 407 = 7*p + 78. Let q(v) = p*v - 19*v - 15*v. Let t(x) = x - 2*x - 3*x + 3*x. Give t(q(o)). -13*o Let g(w) = 319*w**2 - 115*w - 22. Let t(p) = 106*p**2 - 42*p - 8. Let u(s) = -4*g(s) + 11*t(s). Let x(r) = 32*r**2. Calculate u(x(y)). -112640*y**4 - 64*y**2 Let h(l) = 12529*l. Let x(p) = -4899*p. Determine x(h(i)). -61379571*i Let l(w) be the third derivative of -w**4/24 - 21*w**2 + 214*w - 2. Let s(b) = 174*b + 5. Let q(j) = -j - 1. Let y(u) = 5*q(u) + s(u). Calculate y(l(z)). -169*z Let a(s) = -5973*s**2. Let b(l) be the third derivative of -l**4/24 - 41*l**2 + 25*l. Calculate b(a(z)). 5973*z**2 Let y(h) = -3*h. Let j = 256 - -179. Suppose -4*f + 20 = 2*v, -4*f - 4*v = -22 - 6. Let n(c) = -f*c - j + 435. Determine y(n(t)). 9*t Let m(s) = 2*s. Let r be 1*(182 + -1) + (21 - 20). Let b(w) = -r*w - 181*w + 358*w**2 + 363*w. What is m(b(d))? 716*d**2 Let b be 1/24*6*1132. Let m(y) = -b*y + 597*y - 295*y. Let j(l) = -l. Calculate m(j(v)). -19*v Let d(q) = -4988842*q**2 - 4. Let f(o) = 2*o**2. Calculate d(f(g)). -19955368*g**4 - 4 Let a(m) be the third derivative of 31*m**5/60 - 947*m**2. Let t(h) = 2*h + 6. Determine t(a(b)). 62*b**2 + 6 Let g(s) = 19*s. Let u(f) be the second derivative of f**4/12 + f**3 - 13*f + 30. Calculate g(u(w)). 19*w**2 + 114*w Let d(r) = 5*r. Let y(g) = 3573706*g. Give y(d(m)). 17868530*m Let b(y) = 3*y. Let c(p) = 6264786*p. Determine c(b(m)). 18794358*m Let d(n) = 0*n + 2*n - 6*n + 3*n. Let h(t) = -6*t. Suppose -208 + 200 = -4*o. Let u(y) = o*h(y) - 11*d(y). Let v(w) = 4*w**2. Give u(v(a)). -4*a**2 Let j(l) be the third derivative of -13*l**5/30 - l**3/2 + 4*l**2 + 443*l. Let t(q) = -2*q**2 + 4. Let z(r) = 1. Let m(b) = t(b) - 4*z(b). What is j(m(h))? -104*h**4 - 3 Let w(o) = -13*o**2. Let g(p) = 2*p + 7. Let y(i) be the third derivative of i**4/24 + 5*i**3/6 + 75*i**2. Let x(u) = 5*g(u) - 7*y(u). Give x(w(k)). -39*k**2 Let m(v) = 438*v. Let p(a) = -1293*a**2 - 2. Determine p(m(c)). -248054292*c**2 - 2 Let n(s) = 3*s**2. Let t = 228 + -228. Let d(x) be the second derivative of -12*x - 1/6*x**3 + 0*x**2 + t. What is n(d(c))? 3*c**2 Let u(x) = 13*x + 2*x - 10*x - 9*x. Let d(r) = 64*r**2. Determine d(u(g)). 1024*g**2 Let p(j) be the first derivative of 8 + 1/3*j**3 + 0*j + 0*j**2. Let w(k) = -2*k + 83. Give p(w(m)). 4*m**2 - 332*m + 6889 Suppose -2*c = 3*c + 10, 0 = 3*o + 4*c - 55. Let s(a) = 13 + 22 + o + 2*a - 57. Let h(z) = 4*z. What is s(h(d))? 8*d - 1 Let x(o) = 9*o + 0*o - 8*o + 0*o + o. Let t(l) = -3*l - 3*l + 6*l - 107*l**2. Determine t(x(y)). -428*y**2 Let i(g) = 1977*g. Let r(o) be the second derivative of o**4/12 - 766*o - 1. What is r(i(n))? 3908529*n**2 Let r(j) = -130*j. Let w(f) = -f**3 - 6*f**2 + 18*f + 18. Let b be w(-8). Let g(h) = 45372 - 45372 + b*h. Determine r(g(s)). -260*s Let h(t) = 934*t**2 - 42*t. Let o(v) = v**2 - 21*v. Let g(q) = -h(q) + 2*o(q). Let m(j) = 6*j. Determine g(m(k)). -33552*k**2 Let r(q) = 2*q. Let l be 1*-1*(-2 + 3). Let v(b) = -1. Let n(z) be the first derivative of 2*z**2 + 4*z
{ "pile_set_name": "DM Mathematics" }
prime factors of 1306879. 7, 149, 179 What are the prime factors of 108186? 2, 3, 13, 19, 73 List the prime factors of 7141727. 131, 54517 What are the prime factors of 1040336? 2, 11, 23, 257 What are the prime factors of 272106? 2, 3, 5039 What are the prime factors of 1106775? 3, 5, 4919 List the prime factors of 23738428. 2, 7, 499, 1699 List the prime factors of 7472. 2, 467 List the prime factors of 860831. 157, 5483 List the prime factors of 1089889. 67, 16267 What are the prime factors of 5143307? 13, 383, 1033 What are the prime factors of 2164410? 2, 3, 5, 24049 List the prime factors of 435587. 103, 4229 List the prime factors of 214902. 2, 3, 11939 What are the prime factors of 556080? 2, 3, 5, 7, 331 List the prime factors of 25449. 3, 17, 499 What are the prime factors of 17826901? 17826901 List the prime factors of 227497. 227497 What are the prime factors of 16506606? 2, 3, 2751101 What are the prime factors of 414664? 2, 17, 3049 What are the prime factors of 19564455? 3, 5, 47, 27751 List the prime factors of 260134. 2, 7, 17, 1093 What are the prime factors of 136269? 3, 7, 103 List the prime factors of 351363. 3, 173, 677 What are the prime factors of 2388933? 3, 29, 113 What are the prime factors of 663367? 67, 9901 What are the prime factors of 6407708? 2, 17, 23, 241 List the prime factors of 204340. 2, 5, 17, 601 List the prime factors of 3317883. 3, 1105961 List the prime factors of 150145. 5, 30029 What are the prime factors of 25379677? 409, 62053 What are the prime factors of 4690603? 67, 70009 List the prime factors of 294910. 2, 5, 7, 11, 383 What are the prime factors of 1304754? 2, 3, 11, 53, 373 List the prime factors of 2519381. 19, 97, 1367 List the prime factors of 387743. 387743 List the prime factors of 1137538. 2, 17, 33457 List the prime factors of 2241618. 2, 3, 47, 7949 What are the prime factors of 2323430? 2, 5, 283, 821 List the prime factors of 888964. 2, 17, 769 What are the prime factors of 274182? 2, 3, 45697 What are the prime factors of 241914? 2, 3, 23, 1753 List the prime factors of 685906. 2, 13, 23, 31, 37 What are the prime factors of 961844? 2, 13, 53, 349 What are the prime factors of 321496? 2, 7, 5741 What are the prime factors of 476617? 73, 6529 What are the prime factors of 920884? 2, 230221 What are the prime factors of 8669217? 3, 2889739 What are the prime factors of 5331634? 2, 7, 11, 89, 389 List the prime factors of 1084362. 2, 3, 17, 10631 List the prime factors of 1378143. 3, 13, 11779 List the prime factors of 26309945. 5, 5261989 List the prime factors of 361691. 11, 131, 251 List the prime factors of 8040682. 2, 13, 23789 List the prime factors of 337395. 3, 5, 83, 271 What are the prime factors of 184519? 37, 4987 List the prime factors of 1305319. 19, 23, 29, 103 List the prime factors of 1140355. 5, 131, 1741 What are the prime factors of 16724812? 2, 13, 321631 List the prime factors of 10379426. 2, 43, 120691 List the prime factors of 1571431. 337, 4663 List the prime factors of 312752. 2, 11, 1777 List the prime factors of 230649. 3, 76883 What are the prime factors of 233499? 3, 7, 11119 List the prime factors of 3405335. 5, 681067 What are the prime factors of 116524? 2, 29131 What are the prime factors of 31196914? 2, 7, 2228351 List the prime factors of 214088. 2, 7, 3823 What are the prime factors of 3072320? 2, 5, 9601 What are the prime factors of 40717? 19, 2143 What are the prime factors of 440050? 2, 5, 13, 677 What are the prime factors of 1179445? 5, 235889 What are the prime factors of 2200186? 2, 1100093 List the prime factors of 3337. 47, 71 What are the prime factors of 13264204? 2, 19, 37, 53, 89 What are the prime factors of 162098? 2, 81049 List the prime factors of 104442. 2, 3, 13, 103 What are the prime factors of 271967? 271967 What are the prime factors of 826389? 3, 127, 241 What are the prime factors of 222784? 2, 59 What are the prime factors of 517243? 517243 What are the prime factors of 21842790? 2, 3, 5, 17, 42829 What are the prime factors of 8930869? 29, 547, 563 What are the prime factors of 243750? 2, 3, 5, 13 List the prime factors of 160419. 3, 7, 7639 What are the prime factors of 2963157? 3, 59, 16741 List the prime factors of 2556954. 2, 3, 47351 List the prime factors of 4804486. 2, 593, 4051 List the prime factors of 28382103. 3, 97, 10837 What are the prime factors of 3583939? 3583939 List the prime factors of 372083. 271, 1373 List the prime factors of 1780304. 2, 111269 List the prime factors of 242062. 2, 127, 953 List the prime factors of 3849283. 61, 63103 List the prime factors of 245394. 2, 3, 13633 What are the prime factors of 11244017? 877, 12821 What are the prime factors of 1757589? 3, 585863 What are the prime factors of 856991? 337, 2543 List the prime factors of 4657171. 4657171 List the prime factors of 255331. 311, 821 List the prime factors of 4090977. 3, 11, 31, 43 What are the prime factors of 7263305? 5, 7, 207523 What are the prime factors of 139023? 3, 19, 271 What are the prime factors of 16893833? 11, 1535803 List the prime factors of 10002358. 2, 17, 37, 7951 List the prime factors of 1221543. 3, 135727 List the prime factors of 2406281. 1193, 2017 What are the prime factors of 272740? 2, 5, 13, 1049 What are the prime factors of 1860114? 2, 3, 310019 What are the prime factors of 230636? 2, 7, 8237 List the prime factors of 94975. 5, 29, 131 List the prime factors of 6520675. 5, 7, 5323 What are the prime factors of 4693197? 3, 1564399 List the prime factors of 4232978. 2, 73, 79, 367 What are the prime factors of 9778556? 2, 2444639 What are the prime factors of 969198? 2, 3, 163, 991 List the prime factors of 373279. 53, 7043 What are the prime factors of 275055? 3, 5, 11, 1667 List the prime factors of 8378656. 2, 11, 13, 1831 What are the prime factors of 260258? 2, 37, 3517 List the prime factors of 2253847. 2253847 What are the prime factors of 456163? 317, 1439 List the prime factors of 11605156. 2, 23, 126143 What are the prime factors of 1213360? 2, 5, 29, 523 List the prime factors of 149555. 5, 7, 4273 What are the prime factors of 1651296? 2, 3, 103, 167 What are the prime factors of 2192509? 11, 37, 5387 What are the prime factors of 5293382? 2, 269, 9839 List the prime factors of 4007748. 2, 3, 331, 1009 What are the prime factors of 8589737? 13, 223, 2963 What are the prime factors of 56643? 3, 79, 239 What are the prime factors of 182364? 2, 3, 7, 13, 167 What are the prime factors of 263695? 5, 23, 2293 List the prime factors of 1123560. 2, 3, 5, 3121 List the prime factors of 1402330. 2, 5, 17, 73, 113 List the prime factors of 1624432. 2, 101527 What are the prime factors of 129729? 3, 83, 521 List the prime factors of 2511782. 2, 7, 13, 37, 373 List the prime factors of 65357. 65357 List the prime factors of 5633383. 7, 114967 List the prime factors of 614794. 2, 307397 What are the prime factors of 3641177? 181, 20117 List the prime factors of 554531. 554531 List the prime factors of 405696. 2, 3, 2113 What are the prime factors of 950597? 283, 3359 List the prime factors of 939273. 3, 67, 4673 List the prime factors of 11469288. 2, 3, 17, 28111 List the prime factors of 24887701. 19, 71, 971 List the prime factors of 1796320. 2, 5, 103, 109 List the prime factors of 3202224. 2, 3, 66713 What are the prime factors of 136932? 2, 3, 11411 List the prime factors of 458842. 2, 61, 3761 List the prime factors of 138969. 3, 5147 What are the prime factors of 18135590? 2, 5, 11, 173, 953 What are the prime factors of 2001815? 5, 149, 2687 List the prime factors of 10128569. 11, 29, 31751 List the prime factors of 3429394. 2, 73, 83, 283 List the prime factors of 1502497. 53, 28349 List the prime factors of 35526330. 2, 3, 5, 7, 18797 What are the prime factors of 993146? 2, 7, 11, 6449 What are the prime factors of 32254755? 3, 5, 13, 251, 659 What are the prime factors of 6009422? 2, 43, 69877 List the prime factors of 193867. 23, 8429 List the prime factors of 7080941. 7, 23, 61, 103 What are the prime factors of 4152030? 2, 3, 5, 138401 List the prime factors of 132679. 132679 What are the prime factors of 177846? 2, 3, 29641 List the prime factors of 86992. 2, 5437 What ar
{ "pile_set_name": "DM Mathematics" }
. 1730000 What is -36.02763019 rounded to 2 dps? -36.03 What is 8776.00834 rounded to one dp? 8776 What is 0.0060305932 rounded to five decimal places? 0.00603 What is -123.227794 rounded to the nearest one hundred? -100 Round -369058.874 to the nearest ten thousand. -370000 What is -0.0000013256318 rounded to six dps? -0.000001 Round 14.63452457 to two decimal places. 14.63 What is -0.0004458168182 rounded to 6 decimal places? -0.000446 Round -1.34749001 to 1 decimal place. -1.3 What is -0.014126139 rounded to three decimal places? -0.014 Round 1.2409791 to one decimal place. 1.2 What is 0.0001491806188 rounded to seven decimal places? 0.0001492 What is -42294913.1 rounded to the nearest one hundred thousand? -42300000 Round 0.0958666333 to three dps. 0.096 Round 16631104.7 to the nearest 1000. 16631000 Round -93.66988253 to 0 dps. -94 Round 0.0000027890364135 to 7 decimal places. 0.0000028 Round 73675.3883 to the nearest one hundred. 73700 What is 31.42132749 rounded to the nearest integer? 31 What is 171093.7944 rounded to the nearest 1000? 171000 Round 506.693215 to the nearest 10. 510 What is -0.00824812058 rounded to 5 decimal places? -0.00825 What is 13676.018733 rounded to the nearest one thousand? 14000 What is 0.00000024941907 rounded to seven dps? 0.0000002 Round 0.0000461850767 to five decimal places. 0.00005 What is -0.71001243 rounded to four decimal places? -0.71 Round 0.0331729854 to 6 decimal places. 0.033173 Round -5501898040 to the nearest one hundred thousand. -5501900000 What is 31347630920 rounded to the nearest one million? 31348000000 What is 3989.599083 rounded to the nearest 100? 4000 Round -0.0009009724 to six decimal places. -0.000901 Round -0.000013738107 to six decimal places. -0.000014 Round -423118.27 to the nearest 10000. -420000 Round 0.00000240135449 to seven dps. 0.0000024 Round -32354010388 to the nearest 100000. -32354000000 Round 663611.309 to the nearest ten. 663610 Round -395.6749 to 1 dp. -395.7 Round 170.09881 to the nearest ten. 170 Round -1.602704483 to 1 dp. -1.6 Round 0.004166265177 to 7 decimal places. 0.0041663 Round 95147770 to the nearest one hundred thousand. 95100000 What is 810315.9 rounded to the nearest 1000000? 1000000 What is 14.2645643 rounded to 3 decimal places? 14.265 Round 0.00002740275807 to 7 decimal places. 0.0000274 Round 0.3265869119 to 4 decimal places. 0.3266 What is -0.00741301999 rounded to 4 decimal places? -0.0074 Round 4291.1041 to the nearest one hundred. 4300 What is -1329.49259 rounded to the nearest one hundred? -1300 Round -0.0004071153153 to 5 decimal places. -0.00041 What is -6221.774869 rounded to the nearest 10? -6220 What is 13228.0041 rounded to the nearest 100? 13200 Round 1018.85674 to the nearest 10. 1020 Round -0.071019099 to two decimal places. -0.07 What is 7.8412039 rounded to three decimal places? 7.841 Round 9086577.104 to the nearest one million. 9000000 Round -37.733235 to 2 decimal places. -37.73 What is 498827.8272 rounded to the nearest 100? 498800 What is -0.35459229 rounded to 3 decimal places? -0.355 Round 2554.575898 to zero decimal places. 2555 What is -0.00001225700702 rounded to 7 dps? -0.0000123 What is -32123769660 rounded to the nearest one million? -32124000000 What is 0.013598324 rounded to 4 dps? 0.0136 Round 165.2676486 to 3 dps. 165.268 Round 0.221818014 to 5 dps. 0.22182 Round -317.4567 to the nearest one hundred. -300 Round 31.987519 to zero dps. 32 What is -93244.01338 rounded to the nearest 100? -93200 What is 136.5235552 rounded to one dp? 136.5 Round 7.3773644 to 3 decimal places. 7.377 Round 93457390 to the nearest 100000. 93500000 Round -3861092210 to the nearest 100000. -3861100000 What is 63808479 rounded to the nearest 1000000? 64000000 Round 46241028 to the nearest one hundred thousand. 46200000 What is -246910.3946 rounded to the nearest one thousand? -247000 Round 0.001250682671 to four decimal places. 0.0013 Round -10.30774926 to 1 decimal place. -10.3 What is 295333889 rounded to the nearest ten thousand? 295330000 What is 5938631.6 rounded to the nearest 10000? 5940000 Round -191224.342 to the nearest one thousand. -191000 What is -2.33835317 rounded to one dp? -2.3 Round 0.000000383100588 to 7 dps. 0.0000004 What is 0.123873498 rounded to three dps? 0.124 What is 660.429452 rounded to one decimal place? 660.4 What is -83.515504 rounded to two decimal places? -83.52 Round 0.69294978 to two dps. 0.69 Round -0.000101194026 to 5 decimal places. -0.0001 Round -215.4788371 to 1 decimal place. -215.5 Round -385624.247 to the nearest 100. -385600 Round 5484.59628 to the nearest ten. 5480 Round 1.4243677519 to 5 dps. 1.42437 What is -4.33421213 rounded to 3 dps? -4.334 Round 0.1103331856 to four decimal places. 0.1103 Round 607.67807 to the nearest 100. 600 Round -836490.07 to the nearest 100. -836500 What is 12.7019016 rounded to 2 dps? 12.7 Round 0.00000073820428 to 5 dps. 0 What is 3966934835 rounded to the nearest 100000? 3966900000 Round 112.9786455 to two dps. 112.98 What is -0.00031853688 rounded to 7 decimal places? -0.0003185 Round 0.00850363495 to 3 dps. 0.009 Round -113099290.6 to the nearest 100000. -113100000 What is 0.732440163 rounded to three dps? 0.732 What is 1.174959212 rounded to 3 dps? 1.175 What is 9437604.5 rounded to the nearest 1000000? 9000000 Round -0.34561358 to three decimal places. -0.346 What is 0.012233879 rounded to two dps? 0.01 What is -231800988.3 rounded to the nearest ten thousand? -231800000 Round 0.00000854749285 to six decimal places. 0.000009 Round -2126283257 to the nearest one million. -2126000000 Round 0.5931563848 to 1 decimal place. 0.6 What is -60268.532 rounded to the nearest 10000? -60000 What is 0.02825562353 rounded to four dps? 0.0283 What is 0.01385674352 rounded to 4 dps? 0.0139 Round -1.67945039 to 1 dp. -1.7 Round -33060.3378 to the nearest ten. -33060 Round -66.2151369 to one dp. -66.2 What is -0.0000712622507 rounded to 7 decimal places? -0.0000713 What is -0.0001301786677 rounded to six dps? -0.00013 Round -107.725831 to zero dps. -108 What is -0.01035833735 rounded to 6 decimal places? -0.010358 Round 2120.49785 to the nearest 100. 2100 Round 5.77371623 to 3 decimal places. 5.774 What is -1626.16222 rounded to zero dps? -1626 Round -0.0000179554448 to five decimal places. -0.00002 What is -5571.30977 rounded to the nearest ten? -5570 What is -175210859 rounded to the nearest one million? -175000000 What is 1317826.397 rounded to the nearest one hundred thousand? 1300000 What is -5208174100 rounded to the nearest 100000? -5208200000 Round 0.00476086133 to 2 decimal places. 0 Round 0.000263068044 to four dps. 0.0003 Round 8.16246513 to the nearest 10. 10 What is 18868.432 rounded to the nearest one hundred? 18900 What is -820551.26 rounded to the nearest one thousand? -821000 Round -139732.9415 to the nearest 100. -139700 What is 52624.22579 rounded to the nearest 1000? 53000 What is 2140.800707 rounded to the nearest 100? 2100 What is 522.5471 rounded to the nearest ten? 520 What is -0.000004669260317 rounded to 7 decimal places? -0.0000047 Round 0.010074049 to two dps. 0.01 What is -1989.76852 rounded to 0 decimal places? -1990 What is 0.0003709306483 rounded to six decimal places? 0.000371 What is 0.000477103839 rounded to six decimal places? 0.000477 What is -0.00042913251 rounded to 4 decimal places? -0.0004 Round 0.086372384 to one decimal place. 0.1 Round -0.0000006157522 to seven dps. -0.0000006 Round 0.0000154292762 to 4 dps. 0 What is 44817.1738 rounded to the nearest integer? 44817 What is 10741192.91 rounded to the nearest 100? 10741200 Round -0.00000618543121 to seven decimal places. -0.0000062 What is 0.0000569629936 rounded to seven decimal places? 0.000057 Round -26946813 to the nearest one million. -27000000 What is -494.565965 rounded to the nearest one hundred? -500 Round 4958.7228 to one decimal place. 4958.7 Round -0.2471428257 to 2 decimal places. -0.25 Round 808.645254 to the nearest 10. 810 Round -10949236.503 to the nearest 100. -10949200 What is 5079.0076 rounded to the nearest one thousand? 5000 Round 12.577566 to the nearest 10. 10 What is 0.61009321 rounded to three dps? 0.61 What is 81617663.1 rounded to the nearest 1000000? 8200
{ "pile_set_name": "DM Mathematics" }
- 25 = s*r - 10. Put r, -1, 3 in descending order. 3, -1, r Suppose 14*w = 15*w, -4*h + 3*w = -12. Suppose 0 = -0*j + 4*j. Sort -2, j, h in descending order. h, j, -2 Let g(p) = 4*p - 33. Let x be g(8). Put 4, 11, x, -2 in increasing order. -2, x, 4, 11 Suppose -6*m = -0*m - 24. Let o be ((-6)/5)/(6/20). Let h be (-2)/(-4) - 6/o. Put -5, m, h in descending order. m, h, -5 Suppose 3*c + 1 = 7. Let a be (-3 - 1/(-1))/c. Let f = 0.2 - 0.3. Put a, 1/5, f in decreasing order. 1/5, f, a Let h(u) = 2*u + 19. Let r be h(-9). Put r, -3, -4 in decreasing order. r, -3, -4 Let z(c) = c**2 - 16*c - 16. Let p be z(17). Put p, 3, -1 in decreasing order. 3, p, -1 Let v = 133/3 - 44. Let s = v - -1/6. Let r = 6 + -2. Sort -0.5, r, s in decreasing order. r, s, -0.5 Let x(u) = 2*u + 2. Let h be x(2). Suppose -h*n + 2*n = 20. Let z be (-28)/(-42)*(-6)/4. Sort n, z, 3. n, z, 3 Let h(f) = f**3 - 13*f**2 - f + 14. Let r be h(13). Put 5, r, -5, -3 in decreasing order. 5, r, -3, -5 Let x = -5770/9 + 640. Sort 4, -4, x. -4, x, 4 Let u = 6 - 7. Let v = -24 + 214/9. Sort u, v, 3. u, v, 3 Let g = -0.526 - -0.026. Let z = -2 + 0. Let j = z - 1. Put j, g, 2/23 in increasing order. j, g, 2/23 Let r be (-40)/12*24/(-10). Let h be (-1 - -7) + r + -10. Put 1/4, h, 2 in decreasing order. h, 2, 1/4 Let f = -4 - -8. Suppose -2*n = -f*v + 22, -3*v - v + 4*n + 24 = 0. Suppose l + 0 = -5. Sort 1, l, v in increasing order. l, 1, v Let d(v) = -v - 3. Let j be d(-8). Sort j, -2, 2 in ascending order. -2, 2, j Suppose -1 = -l + 4*a, -4*l + 4*a - 11 = -3. Let h be 0 + 94/(-30) - l. Sort -0.5, h, -0.4. -0.5, -0.4, h Suppose -y = x + 5, 3*y + y - 3*x + 6 = 0. Put -4, y, -14 in decreasing order. y, -4, -14 Let c(t) = t**3 - 4*t**2 - 4*t - 3. Let b be c(5). Let y = 8 - 5. Suppose 0 = -5*g + y*g. Put 1, b, g in decreasing order. b, 1, g Let x = 22 + -22.9. Let d = 0.01 - 0.11. Let l = x + d. Put l, -2/5, -0.5 in decreasing order. -2/5, -0.5, l Let b = -0.7 - 2.3. Let l = -0.23 + -6.17. Let o = -6 - l. Put o, -4, b in increasing order. -4, b, o Let x(v) = -v - 5. Let d be x(-9). Suppose 21 = -5*s - d. Let n = s - -2. Put -1, 4, n in increasing order. n, -1, 4 Let t(q) = q**2 + 12*q + 11. Let a be t(-11). Let o be (-1 - 1) + 2 - -3. Suppose -7*l + o*l = a. Sort l, 4, 3 in ascending order. l, 3, 4 Let f = 19 - -2. Let n = -19 + f. Put n, 5, -2/11 in ascending order. -2/11, n, 5 Let t = 9.3 - 1.3. Let c = t + -3. Sort -1/3, c, 1. -1/3, 1, c Let t = 0.4 - 0.4. Let l be -4 + (4 + -1 - 2). Sort -1, t, l in descending order. t, -1, l Let n = -127 + 887/7. Let l = -0.7 + 0.7. Put l, n, -0.5 in increasing order. -0.5, n, l Let f = 29 - 31. Put -15, f, 1/11 in descending order. 1/11, f, -15 Let a = -81 - -85. Sort 72, -2, a, 0 in increasing order. -2, 0, a, 72 Let o be 4/2 + -5 + 1. Let g = 1 + o. Put -4, g, 3 in increasing order. -4, g, 3 Let y be (-3)/108 + (-2)/(-8). Let p = 0.025 + 0.375. Sort p, y, -2/21 in increasing order. -2/21, y, p Suppose -3*w + 6*w + 1 = i, -w - 11 = 5*i. Let z be 3/(-3) - i*3. Put -1, z, 0 in descending order. z, 0, -1 Let l be 5/2*(-1)/(-15). Let v be ((-1)/(-2))/((-2)/8). Let c = 116 - 116.5. Sort c, v, l. v, c, l Let j be ((-8)/3)/(6/1). Sort -1/10, -0.2, j. j, -0.2, -1/10 Let q be 3/(-9)*(4 - 7). Let f(r) = r**3 + 3*r**2 - 5*r + 1. Let a be f(-4). Sort q, a, -4. -4, q, a Let i(f) = -f**2 - f + 1. Let y be i(-3). Let q = -3 + 3. Sort q, y, 2 in increasing order. y, q, 2 Let t = -6 - -3. Let z be (-11)/55*(-1 + -1*4). Put z, t, 5 in increasing order. t, z, 5 Let p = -21.2 - -21. Let i be 2/(-3)*9/(-15). Put p, i, 2/7 in decreasing order. i, 2/7, p Suppose 0 = -5*v + 3 + 12. Suppose 4*o - 1 - 3 = 0. Let t(f) = -2*f**2 - 1. Let n be t(1). Sort n, o, v in descending order. v, o, n Let o(p) be the first derivative of p**4/4 + p**3 + p**2 + p - 2. Let w be o(-2). Let c be (-2)/3*(-2 + 5). Put w, 3, c in decreasing order. 3, w, c Let c = 47/2 + -24. Let x = 6.4 - 6. Let d = x + -0.8. Sort c, 1/9, d in descending order. 1/9, d, c Let g be ((-3)/(-63))/(6/54). Sort 6, -1/2, g. -1/2, g, 6 Let f = 0.087 + -0.087. Sort f, -0.2, -3, -9/5 in increasing order. -3, -9/5, -0.2, f Let m(b) = -b**2 + 3*b + 4. Suppose 5*w + k - 23 = 0, 2*k + 3 = 3*k. Let g be m(w). Suppose 4*z = 2*o + 2, 2*z + 3*o = 6 + 15. Put -3, g, z in ascending order. -3, g, z Let b be -1 - 2/(-6) - 48/(-96). Sort b, -9, 0.4 in increasing order. -9, b, 0.4 Let n be 2*(-3)/6*2. Let y be 1 - 1 - (n + 5). Sort 1, -4, y in descending order. 1, y, -4 Suppose 6*t + 45 = t. Let r be ((-8)/5)/(t/(-45)). Sort r, 2, -5. r, -5, 2 Let c be (-1 - -3)*2/6. Let q = 24.2 - 24. Sort c, 1, q in descending order. 1, c, q Suppose -b + 2*i + 7 = 0, b - 5 - 3 = 3*i. Suppose 3*d - 4*d = -4, -3*n - b*d + 32 = 0. Let a(h) = -h**2 + 4*h. Let f be a(3). Put n, f, -3 in decreasing order. n, f, -3 Suppose 6 = 3*v - 5*v. Put -5, v, 5 in descending order. 5, v, -5 Let u(q) = q - 9. Let c be u(9). Let x = c - 3. Put -2, 0.4, x in descending order. 0.4, -2, x Let a = -0.3 + 0.5. Let h be (-4)/(-2)*3*4/(-8). Let k(o) = -4*o**3 - 2*o**2 + 1. Let r be k(1). Sort a, h, r in decreasing order. a, h, r Let j(o) = 3*o**2 - o. Let s be j(1). Suppose 90 = 3*i - s*v, -2*v - 60 = -5*i + 3*i. Let l = -388/13 + i. Sort -5, 3, l in decreasing order. 3, l, -5 Let x = -19.8 + 20. Put -4, -1/2, x in increasing order. -4, -1/2, x Let l = 0.13 + 13.87. Let g = -13.7 + l. Sort g, -5, 2 in descending order. 2, g, -5 Let u = -3 - -3.8. Let w = 1 - u. Let l = 0.1 - w. Sort l, -4, 0 in decreasing order. 0, l, -4 Let t(d) = d**3 + 6*d**2 - 6*d + 10. Let w be t(-7). Suppose g + 0*g = -2*y, w*g = -12. Put 3, y, -20 in decreasing order. 3, y, -20 Let y = -60 + 188/3. Let m = 2197/12 - 741/4. Let c = m + y. Sort -2/11, 0, c in decreasing order. c, 0, -2/11 Let u = -27 + 22. Sort -0.4, u, -3/5. u, -3/5, -0.4 Let z = -35 - -36. Put -0.08, z, 0.1 in decreasing order. z, 0.1, -0.08 Let h = -14/95 + -1/19. Let m = 6.9 + -7. Put h, 1/2, m in descending order. 1/2, m, h Let p be 9/(-6)*(-5 - -3). Sort -1/3, 2/3, -14, p in ascending order. -14, -1/3, 2/3, p Let s = 39 - 44. Put 5, s, 4, 0 in descending order. 5, 4, 0, s Let b = 1.8 + -2.8. Sort b, 7/4, -4 in ascending order. -4, b, 7/4 Let r be 12/(-8)*4/6. Let a be (-1 - -1 - r) + 14. Suppose 0*h + a = 3*h. Sort 1, h, -2 in increasing order. -2, 1, h Let p = 6 + -3. Suppose -4*g - 33 = 5*j, 4*g + 4 = 7*g - 2*j. Put p, g, 4 in decreasing order. 4, p, g Let z be (-4)/(-6) + 616/(-33). Let k be (2/(-6))/(2/z). Put k, -4, -1 in increasing order. -4, -1, k Let o be 3*8/(-84)*-7. Sort 7, o, 3, 4 in ascending order. o, 3, 4, 7 Let a be (-3)/30*(-3272)/(-9). Let r = 109/3 + a. Let v = r + 17/90. Sort -5, v, -1. -5, -1, v Suppose 5*n = 2*m + 2, 5*m + 0*n - 5*n - 10 = 0. Sort m, -8, 1 in decreasing order. m, 1, -8 Suppose 5*r = -d + 10, -5*d + 12 = -4*r - 9. Let i be 4 + (4/2)/(-1). Put i, 3, d in descending order. d, 3, i Let y = -19 - -16. Put 4, y, -4 in descending order. 4, y, -4 Let b = -0.1 + 0.1. Let d be (2 + (-12)/8)/(-1)*-2. Sort -3, b, d in ascending order. -3, b, d Let j be 6/9 + 17/(-3). Let g = -21 + 21. Suppose 1 + 4 = y. Sort j, y, g. j, g, y Let c = -18 + 22. Put -2, c, -1 in descending order. c, -1, -2 Let i = 2 + 7. Sort i, 2, -4/5 in descending order. i, 2, -4/5 Suppose 24 = q + 5*t, q - 23 = -4*t - 3. Let v be ((-1 - 0) + 1)*-1. Let w be (6 + v/2)/2. Sort 2, q, w in increasing order. 2, w, q Let b = 22 + -21.89. Let t = -2.11 + b. Sort t, 2/15, 0.4 in ascending order. t, 2/15, 0.4 Suppose -t - 2 = -3. Suppose 20 = -2*m - 2*m. Let g = -2 + -2. Put g, m, t in ascending order. m, g, t Suppose 2*z - 20 = 6*z. Sort z, 0, -4. z, -4, 0 Suppose 10 + 2 = 3*k. Suppose 0 = k*i + 2 + 14. Sort -2, 4, i in decreasing order. 4, -2, i Let v be (-19)/5 + (9/5 - 2). Put 31, v, -1 in increasing order. v, -1, 31 Let j be ((-36)/(-15))/((-2)/(-5)). Let m(g) be the second derivative of g**3/3 - 4*g**2 + g. Let k be m(j). Put 1, k, 0 in increasing order. 0, 1, k Suppose -4*h + 0*h + 132 = 0. Suppose -3 + h = 3*m. Let d be (4 - m)*(-1)/2. Sort -3, d, 1. -3, 1, d Let s = 11 + -7. Suppose 5*t = 4*f + 3*t - 24, 3*f = -4*t + 7. Suppose 5*k - 4*k = f. Sort 3, k, s in descending order. k, s, 3 Let i = -3.01 + 0.01. Let y be 1 + 1/((-21)/30). Sort -1,
{ "pile_set_name": "DM Mathematics" }
**2/7 Suppose -3*p**3/2 - 153*p**2/2 + 12411*p/2 - 12255/2 = 0. Calculate p. -95, 1, 43 Determine f, given that -2*f**5 - 2386*f**4 - 710414*f**3 + 731898*f**2 + 5673888*f - 8553816 = 0. -597, -3, 2 Find g such that -4*g**3 - 856*g**2 - 17572*g = 0. -191, -23, 0 Solve -2*r**3/15 - 7096*r**2/15 - 63718*r/15 - 56624/15 = 0 for r. -3539, -8, -1 Solve -5*u**4 - 83705*u**3 - 467129700*u**2 - 869172606000*u - 868705560000 = 0. -5580, -1 What is w in 11*w**2/2 - 61*w/4 - 83/4 = 0? -1, 83/22 Solve 2*t**2/3 - 10960*t/3 = 0 for t. 0, 5480 Factor 335*q**3 - 955*q**2 - 150*q. 5*q*(q - 3)*(67*q + 10) Factor -q**4 - 513*q**3 - 3553*q**2 - 5571*q - 2530. -(q + 1)**2*(q + 5)*(q + 506) Find l such that l**4/3 + 31*l**3/3 + 50*l**2/3 - 232*l/3 = 0. -29, -4, 0, 2 Factor 3*z**2 - 42915*z - 128772. 3*(z - 14308)*(z + 3) Factor -505*a**3 - 3040*a**2 - 2585*a - 50. -5*(a + 1)*(a + 5)*(101*a + 2) Factor -2*n**3/3 + 4*n**2/3 + 586*n/3 + 380. -2*(n - 19)*(n + 2)*(n + 15)/3 Factor -k**4/5 - 88001*k**3/5 - 1935911992*k**2/5 + 5808528012*k/5. -k*(k - 3)*(k + 44002)**2/5 Suppose -5*a**3 - 36945*a**2 - 73875*a - 36935 = 0. Calculate a. -7387, -1 Factor 676*n**3 - 37440*n**2 + 186900*n - 245000. 4*(n - 50)*(13*n - 35)**2 Factor -w**4/2 + 42997*w**3/2 - 461905895*w**2/2 - 6012045325*w/2. -w*(w - 21505)**2*(w + 13)/2 Suppose 2*t**4 - 192842*t**3 = 0. Calculate t. 0, 96421 Factor -443682*m**3/5 - 1508142*m**2 + 32026*m/5 - 34/5. -2*(m + 17)*(471*m - 1)**2/5 Solve n**3 + 26023*n**2 + 182112*n = 0. -26016, -7, 0 Determine o, given that -3*o**2 + 40162*o - 13387 = 0. 1/3, 13387 Solve 2*n**4/3 - 116*n**3/3 + 1726*n**2/3 - 7996*n/3 + 2128 = 0 for n. 1, 7, 12, 38 What is k in -5*k**3 - 3695*k**2 - 152675*k + 156375 = 0? -695, -45, 1 Let 5*r**3 + 44830*r**2 + 358400*r + 716640 = 0. Calculate r. -8958, -4 Factor a**2 - 1413*a. a*(a - 1413) Factor 3*s**3/2 + 351*s**2/2 - 5256*s + 9798. 3*(s - 23)*(s - 2)*(s + 142)/2 Factor 5*r**4 + 111870*r**3 + 223720*r**2. 5*r**2*(r + 2)*(r + 22372) Suppose c**2 + 48662*c - 340683 = 0. Calculate c. -48669, 7 Let 102625*q**4/3 + 40675*q**3/3 + 3955*q**2/3 - 5*q = 0. Calculate q. -1/5, 0, 3/821 Find d such that -2*d**2 - 248970*d - 248968 = 0. -124484, -1 Suppose -12*n**4 - 29642*n**3 - 64168*n**2 = 0. What is n? -2468, -13/6, 0 Let 35*f**5 - 99*f**4 + f**3 + 99*f**2 - 36*f = 0. Calculate f. -1, 0, 3/7, 1, 12/5 Let 3*z**4/2 - 9*z**3/4 - 219*z**2/4 - 99*z/4 + 105/4 = 0. Calculate z. -5, -1, 1/2, 7 Suppose -58*d**4/3 - 248*d**3/3 + 12*d**2 + 216*d - 126 = 0. What is d? -3, 21/29, 1 Factor 2*o**3 - 396*o**2 - 8720*o. 2*o*(o - 218)*(o + 20) Determine i, given that 3*i**2/2 + 3336*i + 19962 = 0. -2218, -6 Find n, given that n**3 - 32*n**2 + 99*n + 972 = 0. -4, 9, 27 Factor -3*q**3/4 - 4071*q**2/4 + 4077*q/2. -3*q*(q - 2)*(q + 1359)/4 Factor 4*b**4 - 1712*b**3 + 186476*b**2 - 683488*b - 3775296. 4*(b - 212)**2*(b - 7)*(b + 3) Factor 2*j**4/7 - 4140*j**3/7 + 2163050*j**2/7 - 21321000*j/7 + 53045000/7. 2*(j - 1030)**2*(j - 5)**2/7 Factor -d**4 - 5*d**3 - 9*d**2 - 7*d - 2. -(d + 1)**3*(d + 2) Let -38*u**4/9 - 1031*u**3/9 - 2515*u**2/3 - 7397*u/9 - 845/9 = 0. What is u? -13, -1, -5/38 Find t, given that -2*t**4 - 128012*t**3 - 2049919586*t**2 - 49142782704*t - 294746135328 = 0. -31991, -12 Find m, given that -4*m**5 - 416*m**4 - 11580*m**3 - 92000*m**2 + 104000*m = 0. -65, -20, 0, 1 Let -54*z**3 + 9620*z**2 + 54*z - 9620 = 0. Calculate z. -1, 1, 4810/27 Let -j**2/3 - 1694*j/3 + 3400 = 0. Calculate j. -1700, 6 What is r in 3*r**2/7 - 801030*r/7 + 53470755075/7 = 0? 133505 Factor 134*o**2 - 3520*o + 936. 2*(o - 26)*(67*o - 18) Factor 2*m**3/5 - 48*m**2/5 - 504*m + 12960. 2*(m - 30)**2*(m + 36)/5 Find w, given that 3*w**2/5 + 3534*w + 5203815 = 0. -2945 What is l in -4*l**5 - 32*l**4 + 504*l**3 - 1712*l**2 + 2060*l - 816 = 0? -17, 1, 3, 4 What is v in v**3 + 802*v**2 + 5575*v + 7950 = 0? -795, -5, -2 Find v such that -2*v**4 - 504*v**3 - 10942*v**2 + 504*v + 10944 = 0. -228, -24, -1, 1 Solve -r**4/2 - 124*r**3 - 2861*r**2/2 - 3431*r - 2124 = 0. -236, -9, -2, -1 Factor b**2/3 - 257*b + 12818/3. (b - 754)*(b - 17)/3 Suppose 4*q**3 + 23172*q**2 - 1401120*q + 21070800 = 0. What is q? -5853, 30 Determine i so that -i**5/2 - 8053*i**4/2 + 16109*i**3/2 - 8055*i**2/2 = 0. -8055, 0, 1 Suppose b**3/4 + 2595*b**2/2 + 396000*b + 31168000 = 0. What is b? -4870, -160 Suppose 3*c**2 - 1170*c + 56943 = 0. What is c? 57, 333 Factor k**2/5 - 20082*k/5 + 100821681/5. (k - 10041)**2/5 Solve -27*g**4 - 801*g**3 + 7467*g**2 + 5241*g + 888 = 0. -37, -1/3, 8 Suppose 2*v**5 - 28106*v**4 + 98729350*v**3 + 98757458*v**2 = 0. What is v? -1, 0, 7027 Factor -3*l**3 + 3903669*l**2 - 1269887923629*l + 1269884019963. -3*(l - 650611)**2*(l - 1) Determine q so that -3*q**5/5 - 183*q**4/5 - 2337*q**3/5 - 8097*q**2/5 - 1188*q = 0. -45, -11, -4, -1, 0 Determine o so that -o**5/2 - 543*o**4 + 1632*o**3 - 1633*o**2 + 1089*o/2 = 0. -1089, 0, 1 Factor 5*q**2 - 18975*q - 114030. 5*(q - 3801)*(q + 6) Solve 3*j**5 - 18*j**4 - 348*j**3 + 72*j**2 + 1344*j = 0 for j. -8, -2, 0, 2, 14 Suppose k**4/3 - 50*k**3/3 - 71*k**2 - 54*k = 0. Calculate k. -3, -1, 0, 54 Factor 3*n**2 - 678*n + 4599. 3*(n - 219)*(n - 7) Factor u**4/3 - 144*u**3 - 433*u**2/3. u**2*(u - 433)*(u + 1)/3 Find f, given that -2*f**4/5 + 12586*f**3/5 - 3958926*f**2 - 19807218*f/5 = 0. -1, 0, 3147 Let 2*f**3/3 - 818*f**2/3 + 272*f = 0. What is f? 0, 1, 408 Factor -88472048*c**4/11 + 28600712*c**3/11 - 2995860*c**2/11 + 129350*c/11 - 2000/11. -2*(47*c - 8)*(98*c - 5)**3/11 Determine o so that 5043*o**4 - 34809*o**3 - 497646*o**2 - 48300*o - 1176 = 0. -7, -2/41, 14 Let 2*i**2 - 180*i + 2002 = 0. What is i? 13, 77 Let 2*h**2/5 + 88502*h/5 = 0. What is h? -44251, 0 Factor -3*q**4 + 471*q**2 + 468*q. -3*q*(q - 13)*(q + 1)*(q + 12) Suppose 2*t**3 - 1614*t**2 + 331200*t - 2240000 = 0. What is t? 7, 400 Factor k**3/7 + 5*k**2/7 + 6*k/7. k*(k + 2)*(k + 3)/7 Find m such that m**2/7 + 17400*m/7 + 75690000/7 = 0. -8700 Determine i so that 3*i**5 - 57*i**4 + 381*i**3 - 1179*i**2 + 1728*i - 972 = 0. 2, 3, 9 Find q such that -q**2 - 379*q - 6154 = 0. -362, -17 Solve -1580642*j**4/5 - 23702518*j**3/5 - 85247996*j**2/5 + 383928*j/5 - 432/5 = 0 for j. -9, -6, 2/889 Factor -f**2 - 857*f - 6792. -(f + 8)*(f + 849) Factor 3*z**2 + 55350*z + 255301875. 3*(z + 9225)**2 Factor 2*s**3/7 - 10680*s**2/7 + 2035302*s + 28536964/7. 2*(s - 2671)**2*(s + 2)/7 Factor -2*n**2/9 + 250*n - 4492/9. -2*(n - 1123)*(n - 2)/9 Factor 3*p**4 + 90*p**3 - 108*p**2 - 474*p - 279. 3*(p - 3)*(p + 1)**2*(p + 31) Factor -h**2/2 - 1229*h + 22203/2. -(h - 9)*(h + 2467)/2 Let f**4/6 + 47*f**3/2 - 2*f**2 - 838*f/3 + 376 = 0. What is f? -141, -4, 2 Determine n so that 16*n**5 - 2580*n**4 - 4568*n**3 + 624*n**2 + 4552*n + 1956 = 0. -1, -3/4, 1, 163 Suppose -2*z**3/7 + 88*z**2/7 - 474*z/7 + 684/7 = 0. What is z? 3, 38 Factor -2*q**2/17 + 834*q/17 + 287168/17. -2*(q - 641)*(q + 224)/17 Suppose 338*q**4/9 + 7100*q**3/9 - 5056*q**2/3 + 7684*q/9 + 46/9 = 0. Calculate q. -23, -1/169, 1 Factor f**2/5 - 9306*f/5 + 21650409/5. (f - 4653)**2/5 Let 27*w**3/7 - 2874*w**2/7 - 26823*w/7 + 29670/7 = 0. What is w? -86/9, 1, 115 Solve x**2/2 + 8*x + 24 = 0. -12, -4 Let m**3/8 + 323*m**2/4 - 1965*m/2 + 2961 = 0. What is m? -658, 6 Determine x so that -2*x**3 + 5712*x**2/5 + 4578*x/5 - 1144/5 = 0. -1, 1/5, 572 Suppose 2*a**3/13 - 329470*a**2/13 + 658934*a/13 - 329466/13 = 0. Calculate a. 1, 164733 Factor -2*x**2/3 - 250*x/3 + 3996. -2*(x - 37)*(x + 162)/3 Determine u so that 2*u**4 - 708*u**3 - 13176*u**2 - 79920*u - 160704 = 0. -6, 372 Factor -4*w**3/5 + 182492*w**2/5 + 547512*w/5. -4*w*(w - 45626)*(w + 3)/5 Factor -o**3/6 + 4195*o**2/6 - 2096*o/3 - 1398. -(o - 4194)*(o - 2)*(o + 1)/6 Factor 4*m**2/7 + 436*m/7 - 440/7. 4*(m - 1)*(m + 110)/7 Determine q, given that 3*q**5/7 - 39*q**4/7 - 423*q**3/7 + 891*q**2/7 + 1620*q + 18468/7 = 0. -6, -3, 6, 19 Factor -407044*p**4 - 5289020*p**3 + 33172*p**2 - 52*p. -4*p*(p + 13)*(319*p - 1)**2 What is p in p**3/6 - 1626*p**2 + 9750*p = 0? 0, 6, 9750 Suppose -8*d**5 + 1526*d**4 - 9866*d**3 - 12934*d**2 + 9874*d + 11408 = 0. What is d? -1, 1, 31/4, 184 Solve 3*c**5/4 - 29*c**4/4 - 499*c**3/4 - 619*c**2/4 - 38*c = 0. -8, -1, -1/3, 0, 19 Solve 3*w**3/4 + 1989*w**2/4 + 81162*w - 418335
{ "pile_set_name": "DM Mathematics" }
t x = a - -12. Calculate the remainder when x is divided by 18. 15 Let c be (-15 + 1)/(3 + -1). Calculate the remainder when (-1 + c)*(-9)/6 is divided by 5. 2 Let h(l) = -l - 2. Let b be h(-4). Calculate the remainder when 21 is divided by (-4 - -2) + b - -11. 10 Suppose -4*r + 2 + 6 = 0. Calculate the remainder when (-26)/(-1) + (1 - -1) is divided by (0 + 1)/(r/20). 8 Let h = 11 - -17. Suppose 98 = 5*r - 57. Let l = r - 21. What is the remainder when h is divided by l? 8 Let s(n) = -3*n + 4. Suppose g + 4 = 6. Let d = -7 + g. Calculate the remainder when 37 is divided by s(d). 18 Let a be -2 - 5*(1 - 2). Let r = 25 + a. Let v(n) = -n**3 + 10*n**2 + 11*n + 10. What is the remainder when r is divided by v(11)? 8 Let a(w) = w**2 - 2*w - 3. Let b be a(-2). Suppose 5*j + b*z - 139 = 4*z, 3*z - 81 = -3*j. What is the remainder when j is divided by 2/1 + 1*13? 13 Suppose -5*y + 3*f - 53 + 16 = 0, y + 3*f + 11 = 0. Let c = y + 35. Calculate the remainder when c is divided by -5 - 2 - (-21 - (-2)/(-2)). 12 Let x = -30 + 53. Let v = 969 - 926. Calculate the remainder when v is divided by x. 20 Let b(q) = 6*q - 1. Let d(y) = -y. Let j be d(-2). Calculate the remainder when 31 is divided by b(j). 9 Let a be 1620/4 - (-2 - 1). Calculate the remainder when 49 is divided by a/(-16)*(-2)/3. 15 Let m(o) = -o + 3. Let x be m(-4). Suppose -f + 6*f = -2*t + 25, 0 = -t + 3*f + x. What is the remainder when 37 is divided by t? 7 Suppose -3*s + 2*s + 18 = 0. Let v(y) = 7*y + 4 + 0*y**3 - 3 + 7*y**2 - y**3 + 3. Calculate the remainder when v(7) is divided by s. 17 Let b = 16 + -36. What is the remainder when 5/b + (-117)/(-4) is divided by 8? 5 Let k = 6 - -6. Suppose -6*s = -3*s + 4*f - 122, 0 = 5*s + f - 175. Suppose s = i - 0*i. What is the remainder when i is divided by k? 10 Let j = 4 + -1. Suppose j = 4*k - 25. Let y(g) = -3*g - 2. What is the remainder when y(-5) is divided by k? 6 Suppose 0 = 2*n - 6*n, -3*v - 4*n + 39 = 0. Calculate the remainder when 35 is divided by v. 9 Suppose -92 = 2*c + c + 4*b, c + 26 = b. Suppose 7*t = 6*t - 5. Let f = t - c. What is the remainder when f is divided by 8? 7 Let c(m) = m**2 + 10*m + 2. Calculate the remainder when 8/2 - (-1 - -2) is divided by c(-10). 1 Suppose 2*u - 5 = 5*v, 3*u + 2 = -3*v + v. Let o be (-1)/3 - v/3. Suppose -m - 4*j - 1 + 25 = o, 2*m = -2*j + 36. What is the remainder when m is divided by 6? 4 Let q = -7 + 10. Suppose q*f = 4*m - 32 + 3, -3*m = 5*f - 58. What is the remainder when 19 is divided by m? 8 Let x = 11 + -6. What is the remainder when 23 is divided by x? 3 Let z be (-4)/10 - 32/(-5). Let d = z + -1. Suppose d*h = 16 + 39. Calculate the remainder when 32 is divided by h. 10 Suppose -3*x + 7 + 13 = 2*g, -g + x = 0. Let w be 130/g + (-2)/4. What is the remainder when ((-3)/(-6))/(1/w) is divided by 9? 7 Let y = 41 - 6. Suppose -5*t - 2 = 2*p, 2*t + 0*t = -4. Suppose -3 = -3*a, 0 = p*x + 4*a - 8*a - 68. What is the remainder when y is divided by x? 17 Let w be 464/12 - (-1)/3. Suppose 0*u = 3*u - w. What is the remainder when 24 is divided by u? 11 Let p(s) = s**3 - 7*s**2 - 2*s + 9. Let b be p(7). Let h(j) = -5*j - 3. What is the remainder when h(b) is divided by -1 + 13 - (-2 - -2)? 10 Let g(q) = -q**2 - 11*q + 12. Let v be g(-9). Let f be (-6)/(-21) - 128/7. Let h = f + v. What is the remainder when h is divided by 7? 5 Let a = -5 + 5. Suppose -3*q - 2*q + 90 = a. What is the remainder when 4*9 + 0 + -1 is divided by q? 17 Let j(i) = 4 + 2 + 9*i + 0*i + 2*i. Calculate the remainder when j(5) is divided by 16. 13 Suppose -26 = -4*q + 3*q - 5*n, 4*n = -4*q + 40. Calculate the remainder when 10 is divided by q. 4 Suppose -a = 5 - 6. Calculate the remainder when -2 - 1/a*-59 is divided by 20. 17 What is the remainder when 93 is divided by (-11 - -14)/((-3)/(-32))? 29 Let x = -1 + 4. Suppose x*l - l + 148 = 3*o, 194 = 4*o - 2*l. What is the remainder when o is divided by 12? 10 Let u be ((-8)/6)/((-3)/(-36)). Let c = 47 + u. Suppose -4*r + 11 = -3*r. What is the remainder when c is divided by r? 9 Let n(f) = -f**2 + 8*f - 3. Let g be n(7). Suppose 10 + 2 = g*t. What is the remainder when 6 is divided by t? 0 Let n(y) = -y + 8. Let s be n(6). Let o(d) = -52*d**2 - 4*d - 3. Let z be o(-1). What is the remainder when 13 is divided by s/(-3) - z/9? 3 Let i = -8 - -1. Let d(b) = b**3 + 6*b**2 - 9*b + 5. Calculate the remainder when (-2)/(-2)*-37*(-2 - -1) is divided by d(i). 18 Let s be (0 + 0 - -34) + 1. Suppose 2*v - s = -3*v. Suppose -n + v = 5*a, -a - 10 = -n + 15. Calculate the remainder when n is divided by 8. 6 Let b(t) = 0 + 3*t + 1 - 3. What is the remainder when 47 is divided by b(6)? 15 Suppose 0 = x + 3*o - 8*o - 32, 3*x + 4*o = 96. Suppose 0 = 4*n + 5 + 3. Let u(f) = -f**3 + f**2 + f + 1. Calculate the remainder when x is divided by u(n). 10 Let c(w) = -w**3 + 12*w**2 + 13. What is the remainder when c(12) is divided by 7? 6 Suppose 0 = -3*c - 12, -4*x + 12 + 32 = -c. Let y = -69 - -97. What is the remainder when y is divided by x? 8 Let i = 24 + -20. Calculate the remainder when i is divided by 3. 1 Let i = -1 - 4. Let b = -1 - i. Suppose 4*j + l - 83 = 0, -16 = 4*l + b. Calculate the remainder when j is divided by 8. 6 Let y(v) = v. Calculate the remainder when y(2) is divided by 2. 0 Let v(t) = t**3 - 4*t**2 + 3*t. Calculate the remainder when 23 is divided by v(4). 11 Let p(k) be the second derivative of k**4/12 - 2*k**3/3 + 5*k**2/2 + k. What is the remainder when 31 is divided by p(6)? 14 Suppose 5*w - 3*f - 79 = 0, 0 = 4*w - 3*f - 47 - 15. Calculate the remainder when 32 is divided by w. 15 Let m(r) = -5*r - 13. Calculate the remainder when m(-15) is divided by 16. 14 Let c = -20 - -39. What is the remainder when 37 is divided by c? 18 Suppose -2*n + 33 = u, 71 = 2*u - 3*n + 2*n. What is the remainder when u is divided by 3? 2 Let m = -5 + 8. Let g = 53 - 32. Suppose 5*o = 4*h + 80, 0 = m*o + 3*h - 0*h - g. Calculate the remainder when 22 is divided by o. 10 Suppose -j - 3*d = -7 - 4, j = -5*d + 11. Calculate the remainder when j is divided by 1/4 - (-23)/4. 5 Suppose 2 = x - 3*j, -3*x + 3*j - 1 = -25. What is the remainder when 41 is divided by x? 8 Let c = -142 + 222. Let s = c - 23. Calculate the remainder when s is divided by 15. 12 Let n = 90 - 49. Suppose k + 2*d = 6*k - n, -k + 2*d = -5. What is the remainder when 16 + (2 - 4) + 2 is divided by k? 7 Let q(z) = 10*z + 1. Let m be q(-1). Let f(d) = -6*d + 5. Suppose -l + 80 = 3*l. Calculate the remainder when f(m) is divided by l. 19 What is the remainder when 144 + 4 + 4 - 4 is divided by 38? 34 Suppose 29 = 4*l - 3*t - 0*t, 0 = -3*l - 5*t + 58. Calculate the remainder when (-2)/6*-93*1 is divided by l. 9 Suppose 3*x - 5*y - 31 - 48 = 0, 4*x - 112 = 5*y. Calculate the remainder when 64 is divided by x. 31 Suppose 0 = -2*l + 4. Suppose -92 = -2*q - l*q. What is the remainder when q is divided by 8? 7 Suppose -10 = -2*y + 20. Suppose 0 = -q - 2, 5*m - 29*q = -26*q + 221. Calculate the remainder when m is divided by y. 13 Suppose j + 4*j = -10. Let v(a) = 7*a - 1. Calculate the remainder when v(4) is divided by j/3 - 92/(-12). 6 Let o(r) = -2*r + 3. Let x = 5 - 8. Calculate the remainder when 17 is divided by o(x). 8 Let l = -1 - -4. Suppose 0 = z + l*z + 8, -5*f = z - 118. Calculate the remainder when 95 is divided by f. 23 Suppose -20 + 68 = 2*w. Calculate the remainder when w is divided by 5. 4 Let t = -58 - -83. What is the remainder when 98 is divided by t? 23 Let y(u) = -8*u - 6. Let c be y(-4). Suppose -60 = -5*g - 4*b, 3*g - 2*b = c + 10. What is the remainder when 46 is divided by g? 10 Let d = -81 - -97. Calculate the remainder when d is divided by 5. 1 Suppose 0 = 5*a - 15, -3*w - w + 18 = -2*a. Let p = 3 + w. What is the remainder when 1/4 + 131/4 is divided by p? 6 Let i be (4/(-2))/(2 - 1). Let o = i + 4. What is the remainder when 25 is divided by 89/7 + o/7? 12 Let l = 26 + -11. What is the remainder when l is divided by 8? 7 Let j = 11 + 7. Suppose 3*x = -x + 24. Let k = x + 4. Calculate the remainder when j is divided by k. 8 What is the remainder when 30 is divided by (-4)/(-2*(-3)/(-24))? 14 Let d be 12/16 - (-18)/8. Suppose -51 = -d*k - 0*k. Calculate the remainder when 33 is divided by k. 16 Suppos
{ "pile_set_name": "DM Mathematics" }
s) - v(s). Calculate -16*a(d) + 5*m(d). 2*d**3 Let q(o) = 1532*o**2 - o + 8. Let c(f) = -2296*f**2 + f - 13. Calculate 5*c(p) + 8*q(p). 776*p**2 - 3*p - 1 Let p(i) = -i**2 + i - 1. Let w(v) be the second derivative of 3*v**5/20 - v**4/4 + v**3 - 7*v**2/2 - 1283*v. What is -6*p(f) + w(f)? 3*f**3 + 3*f**2 - 1 Let l(a) = -28*a - 8. Let j(u) = 14*u + 4. Suppose 180*m - 111*m = 88*m - 95. Give m*j(h) + 2*l(h). 14*h + 4 Let a(c) = -c - 1. Let f(o) = -o - 1. Let h(t) = -5*a(t) + 6*f(t). Let l = -17 - 4. Let w be 6/l - (58/(-7) + 2). Let d(v) = 2*v + 5. Calculate w*h(s) + d(s). -4*s - 1 Let o(r) = -153*r**2 + 25*r - 45. Let d(g) = -19*g**2 - 2. Determine -8*d(q) + o(q). -q**2 + 25*q - 29 Let r(q) = -70*q - 1178. Let h(u) = 93*u + 1178. Calculate -3*h(f) - 4*r(f). f + 1178 Let x(j) = -85698*j**3 + 1728*j**2 + 432. Let y(s) = -1993*s**3 + 40*s**2 + 10. Calculate -5*x(k) + 216*y(k). -1998*k**3 Let k(x) = 2*x**2 - 4. Suppose -5*b + 116 = 4*g + 127, 0 = 5*g - 4*b + 24. Let y(l) = 3*l**2 - 9. Determine g*y(u) + 9*k(u). 6*u**2 Let f(l) = l**3 - l**2 + 3*l - 1. Let n(u) = -7*u**3 + u**2 - 64*u + 5. What is 4*f(r) + n(r)? -3*r**3 - 3*r**2 - 52*r + 1 Let y(q) = q**3. Let p(t) = 148*t - 591. Let k be p(4). Let a(g) = -25*g**3 + 2. Determine k*a(s) - 6*y(s). -31*s**3 + 2 Suppose -1331*r + 237 = -1094*r. Let o(l) = l - 1. Let a(p) be the third derivative of p**4/4 + p**3/6 - 6*p**2. What is r*a(j) - 5*o(j)? j + 6 Let b(j) = -541*j**3 - 12*j**2 + 5*j - 1. Let z(u) = 2*u**3 + 4*u**2 + 1. Calculate b(a) + 3*z(a). -535*a**3 + 5*a + 2 Let r(z) = 7*z + 43. Let l be r(-7). Let w(o) = -3*o + 7. Let d(m) = -7112*m - 7107*m + 14221*m - 6. Give l*d(k) - 5*w(k). 3*k + 1 Let b(y) = -y**2 - y - 1. Let f = -33 + 73. Let i = 122 + 12. Let a = -129 + i. Let q(k) = 9*k**2 + 8*k + 8. Give a*q(n) + f*b(n). 5*n**2 Let z(n) be the first derivative of n**3/3 + n**2/2 - 2134. Let p(h) = -2*h**2 - h. Give p(c) - 2*z(c). -4*c**2 - 3*c Let r be (10 - -2)/(-12 + (-4 - -14)) + 17. Let v(d) = 2*d**2 - 3*d + 2. Let n(a) = -a**3 + 11*a**2 - 15*a + 10. Determine r*v(y) - 2*n(y). 2*y**3 - 3*y + 2 Let a(v) = v**2 - 6*v - 15. Let f(h) = 2*h**2 - 7*h - 15. Let b = -18660 - -18655. Give b*a(g) + 4*f(g). 3*g**2 + 2*g + 15 Let o(q) = 13*q - 9. Let u(v) = 29*v - 19. Give -5*o(b) + 2*u(b). -7*b + 7 Let x(r) = 4*r**2 - 5*r + 662. Let o(c) = 11*c**2 - 13*c + 1655. Give 5*o(i) - 13*x(i). 3*i**2 - 331 Let a be 1/3*-5*87/(-145). Let q(o) = o**2 - o - 1. Let t(v) = -2*v**2 - 4*v - 4. Calculate a*t(c) - 6*q(c). -8*c**2 + 2*c + 2 Let g = 12 + -17. Let d(a) = -5*a**3 - 4*a**2 + 6*a - 4. Let i(y) = -14*y + 312. Let k be i(22). Let f(n) = -6*n**3 - 5*n**2 + 7*n - 5. Give g*d(s) + k*f(s). s**3 - 2*s Let d = -3 - -6. Let l(t) = d*t + 0*t - t - 8. Let k(s) = 406*s + 1. Let n(h) = 880*h + 1. Let g(p) = 13*k(p) - 6*n(p). Give -6*g(r) - 5*l(r). 2*r - 2 Let b(q) = 4*q + 4. Suppose 0 = 8*u - 106 + 98. Let l be (-1)/(-4) - 2/(32/84). Let x(m) = m + 1. Determine l*x(t) + u*b(t). -t - 1 Let k(w) = -39*w + 32. Let c(j) = 32*j - 31. Calculate -3*c(y) - 2*k(y). -18*y + 29 Let v(d) = 39*d**2 - 7*d + 9415. Let r(k) = -22*k**2 + 4*k - 4707. Determine 7*r(f) + 4*v(f). 2*f**2 + 4711 Let x(k) = 24*k - 2. Suppose 908*m - 905*m + 3*u + 30 = 0, 3*m - 5 = 4*u. Let o(h) = 48*h - 3. Calculate m*x(y) + 3*o(y). 24*y + 1 Let c(k) = 23*k**2 - 9*k - 87. Let m(w) = 12*w**2 - 5*w - 47. Calculate -6*c(b) + 11*m(b). -6*b**2 - b + 5 Let y(f) = -3*f**2 - 6*f - 1. Let x(w) = -2*w**2 - 5*w - 1. Let l = 1361 + -1355. Give l*x(c) - 5*y(c). 3*c**2 - 1 Let x(r) be the first derivative of 3*r**4/4 + 2*r**3 + 5*r**2/2 + 5*r + 1. Let o(l) = -4*l**3 - 7*l**2 - 6*l - 6. Let d = 35016 + -35011. Give d*o(k) + 6*x(k). -2*k**3 + k**2 Let b(d) = -24685*d**2 - 11. Let q(v) = -4940*v**2 - 2. Determine 2*b(g) - 11*q(g). 4970*g**2 Let r(v) = -3*v + 2*v + 1 + 0. Let g(d) = 5*d - 6. Let a(s) = s - 1. Let o(w) = 6*a(w) - g(w). Let c be (7/(175/30) - 156/30) + 2. Determine c*r(z) + o(z). 3*z - 2 Let h(s) = s**3 + s**2 + 1. Let o(v) be the first derivative of 3*v**4/4 + 4*v**3/3 - 2*v**2 + 5*v - 842. Calculate -4*h(u) + o(u). -u**3 - 4*u + 1 Let n(j) = -8*j**3 - 1. Let a(q) = 96*q**3 - 4. What is a(d) + 10*n(d)? 16*d**3 - 14 Let p(o) = 7*o + 7. Let q(v) = 20. Let k(u) = 7*u - 254. Let c(l) = -k(l) - 13*q(l). Determine 4*c(a) + 3*p(a). -7*a - 3 Let t = -9212 - -9218. Let k(l) = -l**2 + l + 1. Let q(m) = 9*m**2 - 6*m - 6. Calculate t*k(g) + q(g). 3*g**2 Let g(i) = 18*i + 640. Let b(o) = -7*o - 319. Give 15*b(y) + 6*g(y). 3*y - 945 Let h(b) be the second derivative of -b**3/6 - b**2 - 2*b. Let c(x) be the second derivative of -x**3/3 - 3*x**2/2 - 4*x + 26. Give 2*c(v) - 3*h(v). -v Let n(s) = -s. Let a(b) = -b. Suppose 5*x - 40 = -k, 0 = 3*k - 3*x - 30. Let w = 14 - k. Give w*n(y) - 5*a(y). 6*y Let r(w) = 120*w + 3. Let o(y) = 60*y + 1. Give 7*o(z) - 4*r(z). -60*z - 5 Let j(o) = -3*o**2 + 11*o + 21 + o**2 - 21 - 13*o. Let n(f) = -f**3 + f**2 + f. Determine 3*j(t) + 6*n(t). -6*t**3 Let f(x) = 8554*x**3 - 14*x**2 - 14*x + 28. Let g(z) = 1711*z**3 - 3*z**2 - 3*z + 6. What is 3*f(n) - 14*g(n)? 1708*n**3 Let a(c) be the second derivative of -13*c**3/6 - 9*c**2/2 - 3*c. Let u(q) = q**2 - 27*q - 2799. Let b be u(-41). Let n(l) = -7*l - 5. What is b*n(o) + 6*a(o)? -o + 1 Let t(y) = -16*y**2 + 4*y + 130. Let w(x) = -2*x**3 + 14*x**2 - 3*x - 133. Give 3*t(m) + 4*w(m). -8*m**3 + 8*m**2 - 142 Let t(r) = -r**3 - r**2 + 4*r. Let k(c) be the first derivative of -c**4/4 + c**2/2 - 7320. Calculate -3*k(p) + t(p). 2*p**3 - p**2 + p Let f(z) = -4*z**2 + 3*z + 3. Let v(s) = 5*s**2 + 11*s + 13. Let k be v(-1). Let j(r) = 9*r**2 - 7*r - 7. Calculate k*f(h) + 3*j(h). -h**2 Let a(z) = -8*z + 3. Let x = 6446 - 6440. Let m(l) = -8*l + 2. What is x*m(u) - 4*a(u)? -16*u Let m(f) = 19*f + 7. Suppose 4*x + 4*y = -32, 0*y + y - 22 = 5*x. Let r(p) = -10*p - 245 + 116 + p + 126. Give x*r(k) - 2*m(k). 7*k + 1 Let n(t) = 2*t - 17. Let f(m) = -6 + 2*m - 13*m + 15*m - 28. What is 3*f(d) - 5*n(d)? 2*d - 17 Let g(i) = i. Let l(b) = -4*b - 4. Let p = 1814 - 1812. Determine p*g(k) + l(k). -2*k - 4 Let k(c) = 51*c**3 - c - 14. Let w(s) = -58*s**3 - s**2 + s + 11. Determine -3*k(d) - 4*w(d). 79*d**3 + 4*d**2 - d - 2 Let r(z) = -18*z**3 + 13064*z**2 - 14*z - 8. Let t(f) = 11*f**3 - 8709*f**2 + 9*f + 5. Determine 5*r(m) + 8*t(m). -2*m**3 - 4352*m**2 + 2*m Let r(c) = 102*c + 5. Let s(z) = -201*z - 8. Give 5*r(u) + 2*s(u). 108*u + 9 Let w(v) = v**3 - 4*v**2 + v - 3. Let f(s) = 9*s**3 - 20*s**2 - 2257*s - 15. Calculate f(b) - 5*w(b). 4*b**3 - 2262*b Let x(q) be the third derivative of q**4/24 + q**3/6 - 4*q**2 - q - 255. Let m(k) = 7*k - 1. Give m(h) - 6*x(h). h - 7 Let p(i) = 10*i**3 - 465*i**2 - 3*i - 3. Let f(z) = -17*z**3 + 929*z**2 + 5*z + 5. Give -3*f(h) - 5*p(h). h**3 - 462*h**2 Let s(c) = c**3 - c**2 + c + 1. Let f(d) be the third derivative of -d**6/40 + d**5/30 - 5*d**4/24 - 7*d**3/6 + 6776*d**2. Give f(m) + 5*s(m). 2*m**3 - 3*m**2 - 2 Suppose -30 = -5*m + 2*w, -4*m + 24 = -9*w + 14*w. Let h(r) = -17*r**2 - 6*r. Let c(z) = 52*z**2 + 17*z. Calculate m*c(s) + 17*h(s). 23*s**2 Let o(w) = 9*w + 31. Let x(m) be the second derivative of 2*m**3/3 + 8*m**2 + 697*m. Give 2*o(i) - 5*x(i). -2*i - 18 Let f(a) = 5*a**2 - 11*a + 11. Suppose 252 = 2*b + 4*s, -3*s = 2*b - 4*s - 272. Let r = 147 - b. Let i(y) = 2*y**2 - 5*y + 5. What is r*i(l) - 6*f(l)? -4*l**2 + l - 1 Let t(a) be the first derivative of -3*a**2/2 - a - 360. Let d(g) = -g. Calculate 4*d(x) - t(x). -x + 1 Let a = -4 - -6. Suppose -a*f + f = -4. Let c(t) = 9*t + 5. Let k(g) = -5*g - 7. Let l(b) = -10*b - 16. Let z(x) = -5*k(x) + 2*l(x). Calculate f*c(y) - 7*z(y). y - 1 Let q(r) = 706*r**3 + 5*r**2 - 5*r + 1. Let b(i) = -1059*i**3 - 7*i**2 + 7*i - 2. Calculate -5*b(f) - 7*q(f). 353*f**3 + 3 Let v(f) = -3*f**2 + 5*f**2 - 3*f**2. Let y(u) = 5*u**2 + 2. Let s = 96138 + -96137. Calculate s*y(d) + 4*v(d). d**2 + 2 Let y(i) = 24*i**2 - 16*i - 2. Let v(d) = -25*d**2 + 6*d + 3. Determine 2*v(g) + 3*y(g). 22*g**2 - 36*g Let c(q) = 18*q - 5. Let g(u) = -32*u + 2. Let l(w) = 15*w. Let i(j) = -3*g(j) - 5*l(j). Let x(k) = 4*k - 1. Let m(r) = -i(r) + 3*x(r). Give 3*c(b) + 5*m(b). 9*b Let g(c) = -c - 38. Let z(x) = -482*x + 680. Calculate -36*g(u) - 2*z(u). 1000*u + 8 Let z(f) be
{ "pile_set_name": "DM Mathematics" }
ator of 59/9 and c/7 - 10175/462. 18 Let a be ((-4)/(-10))/(3/105). Suppose 0 = -4*w + 22 + a. What is the least common multiple of w and 8? 72 Let r(x) = x**2 - 8*x - 4. Suppose 24*j - 78 = 66. What is the lowest common multiple of r(10) and j? 48 Suppose 4*k = 2*a + 68, -37 - 3 = -2*k - 2*a. Calculate the common denominator of (-9)/(-12)*484/k and -25/454. 1362 Let r be (-2)/(-5) + (-15222)/38040. Let o = r + 415279/57060. Let s = 5581 - 33623/6. Calculate the common denominator of o and s. 18 Let v = 1280473/202 + -6339. Let y = v - 6247/606. Find the common denominator of 25/7 and y. 21 Let g be (-3 - -2 - 5/(-10))*-36. Calculate the common denominator of (-4)/g + 2172/(-756) and 30/11. 231 Calculate the common denominator of -29/10 and (-1608)/(-720)*-3*(-1 + 0). 10 Let f(r) = r**2 - 6*r - 8. Calculate the lowest common multiple of 36 and f(10). 288 Let m = 1910 + -1070. What is the lowest common multiple of 54 and m? 7560 Let z(u) = -30*u**3 - u**2 + 2*u - 2. Let j be z(1). Let d = j - -38. Calculate the lowest common multiple of d and 4. 28 Let n = -5 + 8. Let b(d) = d**2. Let s = 21 - 20. What is the smallest common multiple of n and b(s)? 3 Let x(s) = s**3 + 10*s**2 - 6*s - 52. Calculate the lowest common multiple of x(-10) and (10/(-4))/((-7)/84). 120 Suppose 6*y = 6 + 6. Calculate the least common multiple of (-69 + 0)/(-3) - (-1 + y) and 6. 66 Let k = -3161 - -37961/12. What is the common denominator of 273/99 - (-4 - (-16 - -11)) and k? 132 Let q be (-3)/(-2)*(13 + -1). Suppose 18 = 2*o - 3*r + 4*r, 2*o - q = 5*r. Let v(u) = 19*u - 11. What is the smallest common multiple of o and v(1)? 72 Let s be 53/(-28)*118/56. Let a be (-31)/(-196)*(-9 - (-11 + -4)). Let n = s - a. What is the common denominator of n and 21/40? 80 Let x(z) = -4*z**3 - 21*z**2 - 9*z - 10. What is the least common multiple of 335 and x(-5)? 670 Let u = 2/631 - -3149/1893. What is the common denominator of (-5)/(-9)*234/60 and u? 6 Suppose -5*f = -0*f - 30. Let b(l) = l - 8. Let s be b(f). Calculate the common denominator of 56/11 and 3/11*s/3. 11 Find the common denominator of 37/8 and (-4)/7*(-10619)/246. 24 Let q(c) = -99*c + 7. Let p = 66 + -67. What is the least common multiple of 22 and q(p)? 1166 Let n = 1826 - 146083/80. Find the common denominator of n and 81/80. 80 Let v = 2009 + -22071/11. Find the common denominator of 3/29 and v. 319 Suppose k = 4*p + 153, -4*p = -2*p - 2*k + 72. Suppose 3*v - 2*v + 126 = 0. Find the common denominator of (-1090)/v + 4/(-18) and p. 7 Let x = -107359/57252 - -5/1468. Find the common denominator of x and 149/48. 624 Suppose 5*c + 2 = -2*b + 6, 10 = 5*b + 2*c. Suppose -x - b = 3. Let s(m) = -4*m. What is the lowest common multiple of s(x) and 2? 20 Calculate the common denominator of -43/184 and (7923/(-152))/(6*69/(-8)). 552 Suppose -3481 = -15*k + 14*k. Let a = 125303/36 - k. Calculate the common denominator of 37/8 and a. 72 Suppose 24*a - 26*a = -30. Calculate the least common multiple of 0 + (-2)/4*-6 and a. 15 What is the common denominator of 6489/(-1242) - 0 - -6 and 59/184? 552 What is the common denominator of -57/7 and 36/(-48)*310/15? 14 Calculate the lowest common multiple of 75 and ((-145)/(-87))/((-10)/(-6)) + 2. 75 Suppose 5*f + 45 = l, -99 = 2*l - 5*l + 3*f. What is the common denominator of 151/(-10) + l/6 and -44/3? 30 Let b = 556 - 516. Calculate the least common multiple of b and 4. 40 Find the common denominator of 119/20 and 1869/1008*(-4)/(-6). 360 Calculate the common denominator of -13 + 2298/144 + 5/(-4) and -41/116. 696 Suppose -h = -2*j + 11, -3*j - 5*h = -4*h - 24. What is the smallest common multiple of j and 11? 77 Let x = 281822/33 - 8539. Let q = 1968/13 - 14769/104. Find the common denominator of q and x. 264 Suppose 3*j = 3*c + 147, -2*j = 4*c - 5*j + 194. Let x = -36 - c. Calculate the least common multiple of x and 9. 99 Let a = -2630/6669 - -21/494. Find the common denominator of -25/9 and a. 54 Suppose 140 = 2*u + 3*u + 5*t, 0 = -3*u + 3*t + 84. Suppose -u = -3*v - 1. Calculate the lowest common multiple of 2 and v. 18 Suppose -4*q - 9 = 39. Find the common denominator of 97/6 and 3*q/9 - 102/4. 6 What is the common denominator of 33/4 and (-165)/(-4)*(-12)/1098? 244 Suppose -1065 = -3*h + 5*p, -3*h = -18*p + 22*p - 1092. What is the lowest common multiple of 16 and h? 720 Let s = 390 + -366. Calculate the lowest common multiple of s and 32. 96 What is the common denominator of (392/16 + 3)*(-4)/6 and 155/66? 66 Let m(s) = -s + 11. Let r be m(9). Suppose 76 = -13*z + 17*z. Suppose y + 5*t - z = 0, -r*t = -5*y + 19 - 5. What is the smallest common multiple of 18 and y? 36 Let h = 431/348 - 5/4. Let u = h - 5117/1392. Calculate the common denominator of (0 + 39)*1/4 and u. 16 Suppose -5*d - 10 = 0, i + i + d + 18 = 0. Let r be (i/(-6))/((-2)/(-72)). What is the common denominator of (-3)/(-12) - (-1204)/r and 27/7? 21 Suppose 26*t = 23*t - 2*l + 16, 5*t + 5*l - 35 = 0. Calculate the lowest common multiple of t and 74. 74 Suppose 0 = 5*b - 4*a - 47, 4*b + 9*a = 6*a + 50. Suppose 0 = -5*z + 59 + 11. What is the least common multiple of (-15)/(z/(-4) - -2) and b? 110 Suppose 75 + 51 = 3*z. Suppose -y + z = 12. Calculate the least common multiple of y and 27. 270 Let j(q) = -q**3 + 26*q**2 + 2*q + 111. What is the smallest common multiple of j(25) and 4? 1572 Let g = 20 - 12. Suppose -5*h = -2*j + 15, -5*j + 4*h = -32 - 14. What is the lowest common multiple of g and j? 40 Let g = 4311 - -15102. Suppose 0 = 2*o - g + 1951. Let w = 52273/6 - o. Find the common denominator of w and 69/10. 30 Let g be 0 + -5 + -8 + -1 + 2. What is the lowest common multiple of 7 and (-2 - -11)*(-3)/g*4? 63 Suppose -3*s - 45 + 243 = 0. Calculate the smallest common multiple of s and 9. 198 Find the common denominator of -93 - -93 - 94/30 and ((-5)/15)/(3/58). 45 Let v = 21 + -5. Let u(a) = -1 - 3 - 1 - 2*a + 3*a. Calculate the lowest common multiple of v and u(9). 16 Find the common denominator of (-477)/36 + -1*4/(-8) and 93/16. 16 Let x = 493/24 - 7/8. Find the common denominator of x and (149/5)/(48/(-5)). 48 What is the common denominator of -28/45 and (1/2)/((-55)/(-134) - 0)? 495 Calculate the common denominator of 53/42 and (-30 - -32) + 2/(-96). 336 Let g(f) = 3*f - 34. Let i = 39409/37 + -1065. Let h = 1435/74 + i. What is the common denominator of g(18) and h? 2 Let t(c) = c**3 - 2*c**2 - 3*c - 4. Let j be t(3). Let f = 279417/29032 - -2/3629. Calculate the common denominator of (-2018)/(-252) - j/(-14) and f. 72 Let o be (-8)/(-48) + (-21)/1584*1438. Let g = o - -102/11. What is the common denominator of 41/22 and g? 88 Suppose -5*g = -3*f - 11, -2*f - g - 2*g + 18 = 0. Suppose 0 = 9*t + 102 - 210. What is the lowest common multiple of f and t? 12 Let r = -54/13 + 677/260. Let n = 349/140 + -29/7. Find the common denominator of r and n. 20 Let c = 62 + -1847/30. Let j = c - 139/15. Find the common denominator of j and 24/(-18) + 347/60. 60 Let q = 98447/3373 - 508301735/14126124. Let m = -42/349 + q. Find the common denominator of m and 91/20. 60 Let p(j) = -j**2 + 17*j + 15. Let b be p(18). Calculate the lowest common multiple of 0 - -25 - (1 + -1 + b) and 7. 28 Let z be (8/6)/(12/(-918)). Suppose 5*h + 14 = -2*f - 2, -4*f = 4*h + 20. What is the common denominator of (2/14)/(h/z) and 21/5? 35 Suppose 0 = 27*w - 736 + 169. What is the least common multiple of w and 21? 21 Let j be (-22874)/(-30) + 2/(-15). Let x = -785 + j. Calculate the common denominator of x and 23/18. 18 Let c be (-1)/88*12/(-9). Let y be ((-3295)/66)/(-5) - 20/120. Let i = c + y. Calculate the common denominator of -25/6 and i. 6 Let v = 20307/3970 + -6/397. Let o = -712555/41308 - 2/10327. Calculate the common denominator of v and o. 20 Let y = 109/22 + 50/11. Let w be (2 + (-3 - -1))*-1. What is the common denominator of (-61)/(w + 1 - -2) and y? 6 Find the common denominator of -13/9 and (-194)/772 + 1/5. 17370 Find the common denominator of 145/(-20)*((-39)/(-6) + -6) and 52/5. 40 Suppose -3*r = -5*b + 2*b + 69, 0 = -5*b - 3*r + 123. Let t = -630 + 638. What is the smallest common multiple of b and t? 24 Suppose 16*i = 38*i - 484. Let m(j) = -j**2 - 8*j + 6. What is the lowest common multiple of m(-8) and i? 66 Le
{ "pile_set_name": "DM Mathematics" }
0)/(0 - 1) - 0. What is g(a)? -2 Let n(r) = -56*r + 399. Let t be -9 + 273/13 + -5 + 0. What is n(t)? 7 Let g(b) be the third derivative of b**4/24 + 23*b**2. Let d = -27 - -23. Let j be 2/d*-10 - -1. Calculate g(j). 6 Suppose -3*c + u - 20 = 0, -43 - 2 = 5*c - 4*u. Let i = 85 - 79. Let o(p) = i + 4*p + 0*p**2 + p**2 + 0 + 0*p. Determine o(c). 11 Let h(d) be the first derivative of -d**3/3 - 3*d**2 + 5*d - 1. Let g(m) = 4*m**3 + 98*m**2 - 142*m - 4566. Let l be g(-24). What is h(l)? 5 Let f(c) = 4*c**3 - 2*c**2 - 2*c + 2. Suppose 3*h + 3*n = 3, -11*h + 7 = -7*h + 3*n. Suppose -b - 18 = -5*r, r + 8 = -2*b + h*r. Calculate f(b). 22 Let c be (-4)/((-8)/10) - 2. Let w(r) = 134 - 5*r**2 - c*r + 0*r - 137 - r**3. What is w(-2)? -9 Let g(s) be the first derivative of 20 - 1/2*s**2 + 3*s - 1/6*s**3. Let x(n) be the first derivative of g(n). Calculate x(2). -3 Let u(p) = 801*p + 1601. Let v be u(-2). Let d(n) = 12*n**2 - 4*n - 5. What is d(v)? 11 Suppose -f = -6*f - 5. Let m(n) = 7*n**2 + 3*n + 2. Let t be m(f). Let i(g) = 5*g**2 - 8*g**2 + 219*g + 2 + 4*g**2 - 225*g. Determine i(t). 2 Let f(o) be the second derivative of 3/2*o**3 - 1/12*o**4 + 0 + 3*o**2 - 107*o. Give f(9). 6 Let s(w) = -3*w + 7. Let q be (7/((-833)/68))/(2/(-21)). What is s(q)? -11 Let w(l) = l**2 + l + 11. Suppose 45*c = 11*c. Give w(c). 11 Let z(g) = 5*g**2 + 0 - 7*g**2 + 12*g - 6 + 0*g**2 + 8*g. What is z(11)? -28 Suppose 3*g - a + 44 = 0, 4*g + 60 = 3*a - a. Let b(j) = -j**3 - 16*j**2 - 30*j - 18. Calculate b(g). 10 Let a be 2/(-13) - (24 - 186/26). Let j(l) = 4*l + 61. Give j(a). -7 Let h(b) = b**2 + 4*b - 25. Suppose 7*r = 18*i - 19*i - 47, -4*r - 26 = i. Calculate h(r). -4 Let n(i) be the first derivative of -i - 99 - 3/2*i**2. Determine n(-2). 5 Let c(k) = 76*k + 35. Let u(d) = 20*d + 9. Let n(t) = -3*c(t) + 11*u(t). Give n(-2). 10 Let h = 1 - -2. Suppose 4*v = -3*p - 18, h*v - 7 = 5*p - 6. Let k(x) = 2*x**3 - 3*x**2 - 2*x - 1. Give k(p). -25 Let z = -530 - -750. Let h(b) = -71*b - 80*b - 67*b + 4 + z*b. Determine h(-3). -2 Suppose -2*c + 10 = -b, -48*c + 52*c = 24. Let y(s) be the third derivative of -2*s**5/15 - s**4/24 + s**3/3 - 5*s**2. Give y(b). -32 Let x(f) = 1. Let b be (-15)/10 - -5*(-3)/(-6). Let p(k) = 10*k + 2*k**2 - 4*k - 1 - 3*k. Let m(l) = b*p(l) - 3*x(l). Give m(-3). 5 Suppose 72*f - 50*f + 14 = 36*f. Let b(l) be the first derivative of -16*l**3/3 - l**2/2 + l - 1. Give b(f). -16 Let m be 8/60 + (-107)/15. Let n(y) be the third derivative of 4*y + 0 - 5/12*y**4 - 5/6*y**3 - 1/60*y**5 + 3*y**2. What is n(m)? 16 Let s(f) be the third derivative of -f**6/120 - 2*f**5/15 - 7*f**4/24 - 2*f**3/3 - 64*f**2 + 117*f - 2. Let u be 1/4 - (-17)/(-4). Give s(u). -40 Let j be (12/(-16)*8)/(6/4). Let a(v) = 13*v + 22. Give a(j). -30 Let o(t) = t**3 + 14*t**2 - 13. Suppose 3*x + 2*f + 29 = -9, 5*f - 38 = 2*x. What is o(x)? -13 Suppose 2*z + z - 5*f - 21 = 0, -4*z + 57 = 3*f. Let r(v) = v**2 - 12*v + 3. Let q be r(z). Let w(y) = 21 + 5*y + q*y - 4*y - 5*y. Give w(0). 21 Suppose -49*g = -75 + 104 + 412. Let k(n) = -2*n**2 - 18*n + 2. Give k(g). 2 Let m be ((-15)/5 - -4)*0. Let o(l) = -6*l + 8 - l**2 + 7*l + m*l - 9. Calculate o(1). -1 Let z(n) be the second derivative of -1/12*n**4 + 0 - 3*n - 11/2*n**2 + 1/6*n**3. Suppose -4*r - 6 = 2*s, 532*s - 3 = -r + 533*s. Calculate z(r). -11 Let h be (-3)/(-3) + (-6 - -1). Let a be 3 - (h + 2 + 9). Let p(d) be the third derivative of -d**6/120 - d**5/15 - d**4/24 - d**3/3 - 24*d**2. Give p(a). 2 Let u(k) = k**3 + 6*k**2 - 3*k - 41. Let p be u(-4). Suppose f = 5*m, 5*m - p*f + 27 = 17. Let g(d) = -5*d**3 - 2*d + 1. Give g(m). -6 Let l = -82 - -82. Suppose -10 + l = 5*y. Let s(t) = 5*t**2 - t + 1. What is s(y)? 23 Let t be (-4)/18 + (-15)/((-675)/370). Let b(n) = -15*n + 49. Let k(l) = 8*l - 25. Let d(v) = 6*b(v) + 11*k(v). What is d(t)? 3 Let t(p) be the third derivative of -p**5/60 + 19*p**4/12 - 29*p**3 + 35*p**2 + p - 12. Determine t(33). -9 Let n be 0*12/288*4. Let t(y) = -y + 2. Give t(n). 2 Let v(d) = 46 - 3 + 130*d**3 + 41*d**2 - 181*d - 131*d**3 - 2. What is v(36)? 5 Suppose -50190 + 50547 = 9*k - 26*k. Let t(r) = -r - 3. What is t(k)? 18 Let k(x) be the first derivative of x**2/2 + 24*x + 105. Let y(u) = 2*u + 46. Let q(w) = -5*k(w) + 2*y(w). Give q(0). -28 Let w(g) = g**3 - 12*g**2 + 11*g + 3. Let p be ((-2420)/(-80))/(2 - 7/4). Let x = 132 - p. Determine w(x). 3 Let d be 7 - (-10 + 1 - -9). Let x(c) = -46*c**2 + 4*c - 3*c - 4*c + 49*c**2 + 2 + d*c. What is x(-2)? 6 Let q(o) be the third derivative of o**6/144 - o**5/15 - 253*o**4/24 + 7*o**2 - 4. Let r(m) be the second derivative of q(m). Calculate r(5). 17 Let b(p) = 3*p**2 + 21*p - 13. Let y = -6409 - -6401. What is b(y)? 11 Let d(s) = s**3 + 17*s**2 - 5. Let y be d(-17). Let p(r) = -21*r - 6. What is p(y)? 99 Let r(w) be the first derivative of w**4/12 + 2*w**3/3 + w**2 - 22*w + 21. Let j(q) be the first derivative of r(q). Determine j(-4). 2 Let p(r) = 74480 - 37234 - 16*r - 37230. Give p(4). -48 Suppose 0 = 3*c - 2*d - 16 - 44, -2*c + 40 = 2*d. Let b(o) be the first derivative of o**3/3 - 19*o**2/2 - 14*o - 8. Give b(c). 6 Let l(c) = 11*c + 1. Let o(p) = -67*p - 4. Let h(t) = 6*l(t) + o(t). Give h(23). -21 Let a(i) = 2*i**2 + 9*i + 15. Let g(l) = l**2 + 4*l + 8. Suppose -11*o + 8 = -9*o. Let n be (o - 0) + -8 + 0. Let m(x) = n*a(x) + 9*g(x). Give m(0). 12 Let v be (0 - -5)/(0 + -1). Let x(t) = 3*t - 20. Let w(o) = -2. Let s(a) = v*w(a) + x(a). Determine s(7). 11 Let x(p) = -9*p - 68. Let w be (6 - (-54)/(-12))*-4. Let d be x(w). Let j(z) = z**2 + 13*z - 2. Give j(d). 12 Let z(x) = 3*x + 65. Suppose 3*l - 122 = -l - 3*j, -4*j = -2*l + 28. Give z(l). 143 Let b(a) be the second derivative of -a**4/12 - 2*a**3/3 + 58*a**2 - 4650*a. Calculate b(10). -24 Suppose 246*i + 917 = 3377. Let x(a) = a**3 - 12*a**2 + 21*a - 10. Calculate x(i). 0 Let y(a) be the second derivative of a**4/12 + 8*a**3/3 + 19*a**2/2 - 7282*a. Suppose -2*l - 4 = 26. What is y(l)? 4 Let q(w) = -13*w**2 + 155*w + 17. Let a(i) = -2*i**2 + 190*i - 2388. Let o be a(15). Determine q(o). 5 Let y(t) = -122*t**2 - 26*t - 27. Let p be y(-1). Let k be p/12 + 21/(-28). Let w(g) = -g**3 - 10*g**2 + 11*g. Calculate w(k). 0 Let n(a) = -a**2 - 12*a - 4. Let l = 417 + -232. Suppose 0 = 4*c - 3*o - 145, -4*c - 6*o + o + l = 0. Suppose 5*x + 20 = -c. Determine n(x). -4 Let a(s) = -s - 21. Suppose 0 = -11*m - 600 + 61. Let g be m/(-21) + 111/(-9). Calculate a(g). -11 Let t be ((-80)/(-36))/1 - (-2)/(-9). Let h(y) = 7*y - 6 + 5 - y + 0 + y**t. What is h(-7)? 6 Let d(o) be the first derivative of -o**4/4 - 4*o**3/3 + 3*o**2 + 9*o + 2. Let w = -24207 - -24201. Calculate d(w). 45 Let u(z) = z**2 - 5*z + 6. Let p be u(5). Let l(n) = 4*n**2 - 6 - 4*n + 7*n**2 + 8*n**2 + 15*n**2 - 33*n**2. Calculate l(p). 6 Let d(c) = -c**2 - 13*c + 3. Let s(q) = 185*q - 14. Let y be s(0). Calculate d(y). -11 Let y(b) be the second derivative of 4*b - 25 + 1/2*b**2 + 1/6*b**4 - 1/3*b**3. Let s(u) = -u**3 + 4*u**2 + 2*u - 5. Let c be s(4). Give y(c). 13 Let g = 2 + -2. Let h(r) = r + 3721*r**2 - 11141*r**2 + 3700*r**2 + 30 + 3721*r**2. Determine h(g). 30 Let y(t) = -t**2 - 3*t - 32. Let z = -16333 + 16333. Give y(z). -32 Suppose -2 = t, o + 47*t - 44*t + 28 = 0. Let y(l) = -3*l - 63. Give y(o). 3 Let a(i) = 1. Let x(h) = h**3 - 6*h**2 + 2*h + 6. Suppose j + 6 = -j. Let p(v) = j*a(v) + x(v). Suppose 207*m = 190*m + 85. Give p(m). -12 Let v be (-6)/(-3) + 31 - -3. Suppose 0*w + 9*w = v. Let p(o) = -1 - 4*o**3 + 4*o + 3*o**3 + 3*o**2 + 1. What is p(w)? 0 Let x(n) = 0 + 3 - 13*n - 581710*n**2 + 581711*n**2. What is x(18)? 93 Let j(f) = -f - 2. Let l(k) = -16*k**2 + 9*k - 23. Let w(h) = -7*h**2 + 4*h - 11. Let b(p) = -4*l(p) + 9*w(p). Let m be b(-3). Give j(m). -4 Let b(f) = -f**3 + 5*f**2 + 4*f - 11. Let t be b(5). Suppose -t*d + 3*d + 12 = 0. Let y(u) = 3 - 7*u - d*u**2 + 0*u - 8*u + 21*u. Determine y(5). -17 Let k = -16730 - -16727. Let l(n) = -35*n - 110. Calculate l(k). -5 Suppose 3*q + 45 = 12*q. Let g(x) = q - x - 12 + 6 - 2*x. Let r(o) = o**2 + 9*o + 6. Let w be r(-8). Calculate g(w). 5 Suppose 16*k = -4*f + 11*k + 298, 5*f + k = 383. Let i = f - 74. Let t(r) be the third derivative of r**5/60 + r**4/8 + r**3/3 - r**2. Determine t(i). 20 Let h(
{ "pile_set_name": "DM Mathematics" }
+ 52*g + 10*g. -5*g**2 Collect the terms in 558*n + 202*n - 1319*n + 564*n. 5*n Collect the terms in 14*g**2 + 7947*g**3 + 10849*g**3 - 14*g**2. 18796*g**3 Collect the terms in -w**2 + 2193 + w**2 + 6538*w**3 + 0*w**2 - 2192. 6538*w**3 + 1 Collect the terms in -8010*n**3 + 3992*n**3 + 4087*n**3. 69*n**3 Collect the terms in 7634*m**2 - 7634*m**2 - 1419*m**3. -1419*m**3 Collect the terms in -25555*z**2 + 12782*z**2 + 12791*z**2 + 41*z + 35*z - 76*z. 18*z**2 Collect the terms in 46*b**2 + 44*b**2 - 47 - 165*b**2 + 88 + 37*b**2 + 39*b**2. b**2 + 41 Collect the terms in 86410*d**2 + 86895*d**2 - 174674*d**2. -1369*d**2 Collect the terms in 1381*d + 1327*d + 2 - 5576*d + 1353*d + 1391*d. -124*d + 2 Collect the terms in -4*g - g - 4936827163 - 3*g + 4936827163. -8*g Collect the terms in 15*n - 7*n - 170*n**2 + 527*n**2 - 181*n**2 - 8*n - 178*n**2. -2*n**2 Collect the terms in 601*t**2 + 590*t**2 - 1810*t**2 + 624*t**2. 5*t**2 Collect the terms in 2*i**2 - 22*i**2 + 4133 - 4203. -20*i**2 - 70 Collect the terms in -18294 + 5*f - 18038 + 36334. 5*f + 2 Collect the terms in 18029*v**2 + 30888*v**2 - 9012*v**2. 39905*v**2 Collect the terms in -2423*s**3 + 384*s**2 - 2 - 384*s**2. -2423*s**3 - 2 Collect the terms in -4017 - 4646 + 7*q**2 - 6*q**2 + 8663. q**2 Collect the terms in 536*i + 522*i - 126*i - 44*i - 126*i. 762*i Collect the terms in -1613*s + 111 + 1535*s + 203. -78*s + 314 Collect the terms in 1057*q - 7 - 1959*q + 1064*q + 17*q**2. 17*q**2 + 162*q - 7 Collect the terms in -1294 - 144*y - 44433 + 135*y. -9*y - 45727 Collect the terms in -511*c - 1 + 50*c + 2 + 988*c - 4 + 844*c. 1371*c - 3 Collect the terms in 3*o**2 + 68*o + 97*o - o**2 + 203*o. 2*o**2 + 368*o Collect the terms in 2159*q**2 - 3795*q**2 + 1714*q**2. 78*q**2 Collect the terms in 94 + 3242*o**3 - 94 + 497*o**3. 3739*o**3 Collect the terms in -15297*m + 7906*m + 7970*m. 579*m Collect the terms in 71*l**3 + 3503*l**2 - 3503*l**2 + 23*l**3. 94*l**3 Collect the terms in 4561 + 3*h - 7*h - 13698 + 3*h + 4553 + 4572. -h - 12 Collect the terms in -12*r - 4104 - 5565*r**3 + 8207 - 4103. -5565*r**3 - 12*r Collect the terms in 0 - 40799*d**2 + 163180*d**2 - 40794*d**2 - 40796*d**2 - 1 - 40796*d**2. -5*d**2 - 1 Collect the terms in 2217*l - 80*l - 11024*l - 9658*l - 4274*l. -22819*l Collect the terms in -83*z - 11*z - 3*z - 7*z + 136*z. 32*z Collect the terms in -156*w + 29*w + 41*w + 46*w + 46*w - 3*w. 3*w Collect the terms in 0*y - 29*y + 78*y - 198*y**2 - 49*y. -198*y**2 Collect the terms in 189522824*d - 31*d**3 - 189522824*d. -31*d**3 Collect the terms in 11*w**3 + 35*w**2 - 32*w**2 - 6*w**3 + 20*w**3 - 25*w**2. 25*w**3 - 22*w**2 Collect the terms in -127806*n**3 + 63857*n**3 + 63947*n**3. -2*n**3 Collect the terms in 719398*l**2 - 719400*l**2 + 7*l - l - 6*l. -2*l**2 Collect the terms in 4731*q**2 - 14292*q**2 + 57*q - 4*q**3 + 9561*q**2. -4*q**3 + 57*q Collect the terms in 56218 - 7484*k**2 + 7485*k**2 - 56218. k**2 Collect the terms in 27540*l**3 - 27516*l**3 - 120*l + 120*l. 24*l**3 Collect the terms in -865*q**3 - 893*q**3 + 1363*q**3. -395*q**3 Collect the terms in 73*n**2 + 64*n**2 - 768*n + 73*n**2 - 208*n**2 + 768*n. 2*n**2 Collect the terms in -160 + 3*l + 583 - 91 + 86. 3*l + 418 Collect the terms in 217*i**3 + 253 + 148*i**3 - 58*i**3 - 526 + 264. 307*i**3 - 9 Collect the terms in -8801*s**2 + 4429*s**2 - 11298*s**2. -15670*s**2 Collect the terms in -493*j + 493*j - 4277*j**2 - 17516*j**2 - 2370*j**2. -24163*j**2 Collect the terms in 55629099*o - 55629099*o + 1311*o**2 + 728*o**2. 2039*o**2 Collect the terms in -6294*j - j**3 - 7*j**3 - 6*j**2 - 3957*j + 7*j**3 + 3. -j**3 - 6*j**2 - 10251*j + 3 Collect the terms in 3*r + 254934*r**3 - 256760*r**3 - 3*r. -1826*r**3 Collect the terms in 35 + 150*p - 75 + 40 - 69*p - 84*p + 11*p. 8*p Collect the terms in 14499*j**3 + 764*j**2 - 764*j**2 - 14589*j**3. -90*j**3 Collect the terms in -475*g + 41*g - 238*g + 90*g. -582*g Collect the terms in 5080*n**2 - 9037*n**2 + 16217*n**2. 12260*n**2 Collect the terms in 1647*b - 3 - 1 - 8090*b + 3 - 4444*b. -10887*b - 1 Collect the terms in 5731 - 15894 + 5726 + 4*l + 4437. 4*l Collect the terms in -1538738*w + 3*w**3 + 3076438*w - 16*w**2 - 1537700*w. 3*w**3 - 16*w**2 Collect the terms in -12828*l + 24565*l - 11754*l. -17*l Collect the terms in -4867*x**3 - 5 + 3 + 1 + 365*x**3. -4502*x**3 - 1 Collect the terms in 81*h + 87*h - 167*h - 9880 - 5*h**2 + 9880. -5*h**2 + h Collect the terms in -102*h**3 + 2*h**2 - 69 - 2*h**2 + 69 + 50*h**3. -52*h**3 Collect the terms in -112*z + 510*z - 105*z + 11 - 102*z - 116*z - 102*z. -27*z + 11 Collect the terms in -11*d + 4*d**3 - 3*d + 73082*d**2 + d**3. 5*d**3 + 73082*d**2 - 14*d Collect the terms in -18*t**3 + 20*t**3 + 83 + 5 + 8. 2*t**3 + 96 Collect the terms in 2549144 - 1274536 - 1274608 - 14*a**2. -14*a**2 Collect the terms in 1208876*v**3 - 281717*v**3 + 569546*v**3 + 18049*v**3. 1514754*v**3 Collect the terms in 1 - 112*o + 308*o - 113*o - 102*o. -19*o + 1 Collect the terms in 791 + 155*c + 299*c + 436 + 220. 454*c + 1447 Collect the terms in -146578*d**2 + 48079*d**2 + 48347*d**2 + 50151*d**2. -d**2 Collect the terms in -2877*s**3 + 1229*s**3 + 1659*s**3. 11*s**3 Collect the terms in 3 - 3 - 42*i - 7 - 338*i - 109*i. -489*i - 7 Collect the terms in -28146 + 13667*y**2 + 56292 - 28146. 13667*y**2 Collect the terms in 755*n**3 + 754*n**3 - 7 + 7 - 3036*n**3 + 760*n**3 + 765*n**3. -2*n**3 Collect the terms in 616984 + 616993 + 3*v + 3*v + 616999 + 616989 - 2467965. 6*v Collect the terms in -1503*q - 1247*q - 7 - 2103*q - 131*q. -4984*q - 7 Collect the terms in 2740*w**2 + 2744*w**2 - 5484*w**2 + 61523*w**3 - 61524*w**3. -w**3 Collect the terms in -217564*s - 217765*s - 217574*s + 652902*s. -s Collect the terms in -323216581344 + 323216581344 - 16*y**3. -16*y**3 Collect the terms in 9112 - 3041 - 189*g**3 - 3039 - 3032 - 83*g**3. -272*g**3 Collect the terms in -19 + 14 + 1 - 26 + 405*r**2 + 1681*r**2. 2086*r**2 - 30 Collect the terms in -34663 + 1137*s - 570*s + 3*s**2 + 2*s**2 - 567*s. 5*s**2 - 34663 Collect the terms in 6*c**2 + 20*c + 915 + 28*c - 176. 6*c**2 + 48*c + 739 Collect the terms in 287*l**2 + 59 - 4*l - 9*l + 14*l + 475*l**2. 762*l**2 + l + 59 Collect the terms in -1004*s**3 + 243*s**3 + 249*s**3 + 244*s**3 + 271*s**3. 3*s**3 Collect the terms in 137*u**3 - 11*u**3 + 167*u - 174*u + 7*u. 126*u**3 Collect the terms in 5*n**2 + 142260*n**3 - 5*n**2. 142260*n**3 Collect the terms in 22*x**2 - 120712*x - 39516*x - 42*x**2. -20*x**2 - 160228*x Collect the terms in -1318*k - 1315*k - 1317*k - 187 - 1317*k + 5262*k. -5*k - 187 Collect the terms in 119*t + 167*t - 301*t + 191*t. 176*t Collect the terms in -43*c - 249525*c**3 + 958117*c**3 + 43*c. 708592*c**3 Collect the terms in 3356*u + 32*u**2 - 9968*u + 3300*u + 3311*u. 32*u**2 - u Collect the terms in 2253390667 - 2253390667 + 3*k**3. 3*k**3 Collect the terms in -462*y**2 + 182*y**2 + 180*y**2 - 2*y + 149*y**2 + 2*y. 49*y**2 Collect the terms in -272*c**3 + 570*c**3 + 25 - 29 - 306*c**3. -8*c**3 - 4 Collect the terms in 929*c**2 + 5*c - 4*c + 17*c - 18*c + 0*c. 929*c**2 Collect the terms in -1041261199*f + 1041261199*f + 9*f**2. 9*f**2 Collect the terms in 4*b**2 + 23289 - 162*b - 11641 - 11648 - 2*b**2. 2*b**2 - 162*b Collect the terms in 207 + 174*z - 65*z + 307*z. 416*z + 207 Collect the terms in -56*z**2 - 4354 + 156*z**2 - 101*z**2. -z**2 - 4354 Collect the terms in -439 + 1767 - 446 + 170*a**3 - 436 - 446. 170*a**3 Collect the terms in -176*u - 26*u - 161*u + 815*u - 85*u. 367*u Collect the terms in 3043 + 3043 + 3039 + 5*k - 9133. 5*k - 8 Collect the terms in -5 - 15 + 12 + 29*g**2 + 1 + 5. 29*g**2 - 2 Collect the terms in -69077*g**2 - 102405*g**2 + 3340*g**2 - 95792*g**2. -263934*g**2 Collect the terms in 468575*m + 15*m**2 - 9*m**2 - 8*m**2. -2*m**2 + 468575*m Collect the terms in -2035931 + 2035931 + 904*m**3. 904*m**3 Collect the terms in 732018*g**2 + 596729*g**2 - 447842*g**2. 880905*g**2 Collect the terms in 29435*z**2 - 16464*z**2 - 12972*z**2. -z**2 Collect the terms in 43*f - 104*f - 39*f + 105*f. 5*f Collect the terms in 311225*m - 640760*m + 329539*m. 4*m Collect the terms in 26*p**2 - 160 + 344 - 84 - 100. 26*p**2 Collect the terms in -1 + 13710313*r**2 + 1 - 27
{ "pile_set_name": "DM Mathematics" }
prime? True Is 101672340037 a composite number? True Is 219444371 a composite number? True Is 10237018853 composite? True Is 10348918247 composite? True Is 87166873 a composite number? False Is 558680933 a prime number? True Is 8113810102 a prime number? False Is 367292369953 a prime number? False Is 60133234223 a prime number? True Is 289095659443 composite? True Is 703921729 a composite number? True Is 2190154597 a prime number? True Is 3649442977 a composite number? True Is 7550865797 a composite number? True Is 8766772187 a prime number? True Is 20663892427 composite? True Is 9449550769 composite? True Is 2335451603 composite? False Is 55994427607 prime? True Is 920166757 prime? False Is 233681671 a prime number? True Is 37804258697 a composite number? False Is 5074874131 a prime number? True Is 9156835343 a composite number? False Is 277185481 composite? True Is 1124359867 composite? False Is 278209717 a prime number? False Is 46611101 a composite number? False Is 9200096333 a composite number? True Is 28919868581 a composite number? False Is 1139046809 prime? True Is 31611189221 a composite number? False Is 43065954541 a composite number? False Is 11365787339 a prime number? False Is 2980494469 a composite number? False Is 1268266577 a composite number? True Is 3109806811 composite? False Is 95509443011 a prime number? True Is 54029644913 a composite number? False Is 57701074927 composite? True Is 36995347591 prime? False Is 69929009341 composite? False Is 169372639 a composite number? False Is 304289 prime? False Is 2737039127 prime? False Is 4528723867 a prime number? True Is 5119058911 a composite number? True Is 39455182307 composite? True Is 37891109 a composite number? False Is 386802851 composite? True Is 363531923 prime? True Is 485614189 a prime number? True Is 15091169441 a prime number? True Is 1023869669 a composite number? True Is 1306465703 composite? True Is 17026773121 a prime number? True Is 11604327391 a composite number? False Is 187727513465 composite? True Is 130318763 a composite number? True Is 1532031889 a composite number? True Is 270564494227 a composite number? True Is 159766917 a prime number? False Is 4457526631 a prime number? False Is 739997593 a composite number? False Is 2025147409 a prime number? True Is 1116761531 a prime number? False Is 92102077 a prime number? True Is 135484093 a prime number? False Is 40712845219 a composite number? False Is 18401210351 composite? False Is 300281881 a composite number? False Is 2683087535 composite? True Is 5741448235 prime? False Is 28579930301 prime? False Is 14955912941 composite? True Is 149073523 composite? True Is 6054216149 a prime number? False Is 25228446611 a prime number? False Is 8526394579 a composite number? True Is 435244483 a prime number? False Is 4310609213 a prime number? False Is 995892991 prime? True Is 3316468781 a composite number? True Is 6430170181 prime? True Is 7058855833 prime? False Is 1769626483 prime? False Is 5150394877 a composite number? False Is 6570520067 a composite number? True Is 13801442119 composite? False Is 6495583897 prime? False Is 4185233827 prime? True Is 133711964567 composite? False Is 2309411269 a composite number? True Is 8908581083 a composite number? True Is 362750977 a composite number? True Is 8625976481 prime? False Is 837520107 composite? True Is 493782455093 a composite number? False Is 1948968271 composite? False Is 10888790413 a composite number? False Is 19500102631 a composite number? False Is 932348314 a prime number? False Is 2793782167 composite? True Is 1874564047 prime? False Is 478005049 a composite number? False Is 4714611821 a prime number? True Is 23796197 composite? True Is 3862960342 a composite number? True Is 22428564911 a prime number? True Is 2207572799 a composite number? True Is 9938311649 prime? False Is 1465451327 prime? True Is 18055712867 prime? True Is 9336201821 a prime number? True Is 16208279 a composite number? True Is 1260534017 a composite number? False Is 3745694779 a prime number? False Is 860804666 composite? True Is 550946867 composite? False Is 8896361359 a prime number? True Is 104172153055 prime? False Is 3990571573 a composite number? True Is 233177689 prime? True Is 68461626397 a prime number? True Is 6129397613 a prime number? True Is 4337173507 a composite number? True Is 1525510141 composite? True Is 306614827 prime? True Is 8831538563 a prime number? False Is 3365082857 a composite number? False Is 27411962869 composite? True Is 291826571203 a composite number? False Is 11822275957 composite? True Is 40532486783 prime? False Is 223588329 a prime number? False Is 107750478193 composite? False Is 1745247617 composite? False Is 238095853 a composite number? True Is 2465872691 a composite number? True Is 4206414659 a prime number? True Is 304502579 prime? True Is 125998079 composite? True Is 44023335313 prime? False Is 34105823 a composite number? True Is 5096668939 prime? False Is 6395010703 prime? True Is 67121473 composite? False Is 1356715049 a prime number? True Is 10546916059 composite? True Is 4414931 prime? False Is 3134777839 a composite number? True Is 148957583 a composite number? True Is 6425010827 a composite number? True Is 23003889053 composite? False Is 25750588151 a composite number? False Is 15609465481 prime? True Is 31181959 composite? False Is 41492456513 a composite number? False Is 21704046317 composite? False Is 725163419 a composite number? True Is 10528878658 composite? True Is 102792707 a prime number? True Is 6227034349 prime? True Is 67173567349 composite? True Is 6484256993 a prime number? False Is 4503990077 a prime number? False Is 5476599587 composite? False Is 3457688749 a composite number? True Is 7715280791 a prime number? True Is 6684781673 composite? True Is 48127199509 composite? False Is 77172384073 a composite number? False Is 9660217774 prime? False Is 25100647391 a prime number? False Is 49415642817 prime? False Is 2288339033 a composite number? True Is 25271260967 a composite number? True Is 884227217 prime? True Is 440524603 composite? False Is 50026159 a prime number? False Is 239772940343 prime? False Is 2220787329 a prime number? False Is 2502772199 a composite number? False Is 1475844023 composite? False Is 465139223 composite? False Is 2934289129 composite? True Is 228781417 prime? False Is 264113099 a prime number? True Is 977060759 a prime number? False Is 497372143 composite? True Is 132530803 prime? True Is 37677226243 composite? False Is 79754194463 a composite number? False Is 747074249 a composite number? True Is 693146737 prime? True Is 333982477 composite? False Is 123158309 prime? False Is 60021436243 prime? True Is 14567002654 a composite number? True Is 124721715587 prime? False Is 38576098423 composite? False Is 54423554651 prime? True Is 2358675893 prime? False Is 61400867 a prime number? False Is 500738437 prime? True Is 491715119 a composite number? True Is 1229748101 prime? False Is 13523389589 a prime number? False Is 1701116023 a composite number? True Is 3273295457 prime? True Is 212220313 composite? False Is 506911501 a composite number? False Is 1543314061 a prime number? True Is 1479597529 a prime number? True Is 915317089 prime? False Is 23611401413 a composite number? False Is 838660769 a composite number? True Is 142022252003 a composite number? False Is 393778237 a prime number? True Is 171703771 a prime number? False Is 29835231197 a prime number? False Is 948377 composite? False Is 194112680999 prime? True Is 3131189513 prime? True Is 26734558157 a prime number? False Is 4335785007 prime? False Is 5260753957 a prime number? True Is 1377952873 composite? True Is 4226687189 a composite number? False Is 107154816837 composite? True Is 5623370009 composite? True Is 41132636213 composite? False Is 1159840943 composite? False Is 818997211 prime? True Is 36956252453 a composite number? True Is 8748621857 composite? True Is 2519745499 composite? False Is 571159261 a prime number? True Is 54663396517 a prime number? False Is 7160650273 a prime number? False Is 298790529 a prime number? False Is 939278863 composite? False Is 64159439 composite? False Is 1413630017 a composite number? False Is 135
{ "pile_set_name": "DM Mathematics" }
erms in -69*j - 1 + 0 + 76*j + 1. 7*j Collect the terms in -11*q - 14*q - 22*q. -47*q Collect the terms in 44*h + 22*h - 76*h. -10*h Collect the terms in -7*g**3 + 22*g**2 - 22*g**2 + 12*g**3. 5*g**3 Collect the terms in 75*c**2 - 44*c**2 - 39*c**2. -8*c**2 Collect the terms in 677 + 2*u - 9*u - 674. -7*u + 3 Collect the terms in -5574*n + 1 - 1. -5574*n Collect the terms in 8*p**3 - 19*p**3 + 4*p**3 + 6*p**3. -p**3 Collect the terms in 6354*z**3 + 6311*z**3 - 12668*z**3. -3*z**3 Collect the terms in -553*t - 10*t**3 - t**3 + 553*t. -11*t**3 Collect the terms in 4*b + 266 - 3*b + 3*b - 2*b. 2*b + 266 Collect the terms in 592*s + 573*s - 1147*s. 18*s Collect the terms in -13*k**2 + 2*k**2 + 6*k**2 - 11*k**2. -16*k**2 Collect the terms in 24 - 3*v**3 - 7 + 2*v**3 + 18. -v**3 + 35 Collect the terms in -9*l**3 + 17*l**3 + 19*l**3. 27*l**3 Collect the terms in -7 + 18*f - 6 + 17 - 4. 18*f Collect the terms in 2 - 12 + 4*t - 4 + 14. 4*t Collect the terms in 366*p - 6*p**2 - 366*p. -6*p**2 Collect the terms in 67*r - 15*r + 65*r - 36*r. 81*r Collect the terms in 7*n + 7*n - 16*n + 0*n. -2*n Collect the terms in 6*n + 11*n - 14*n. 3*n Collect the terms in -24 + 42 - 2*i - 18. -2*i Collect the terms in 4 + 12*z - 8 + 12*z. 24*z - 4 Collect the terms in 3*g + 4*g + 3*g - 12*g. -2*g Collect the terms in -23*o - 26*o + 82*o. 33*o Collect the terms in 8 - 8 + 7*i. 7*i Collect the terms in -566 + 566 + 5*y. 5*y Collect the terms in 1255*q - 2487*q + 1246*q. 14*q Collect the terms in 270*v**2 - 787*v**2 + 260*v**2 + 259*v**2. 2*v**2 Collect the terms in 96*l - 32*l - 33*l - 32*l. -l Collect the terms in -21 - 24 - 28 - 2*j + 73. -2*j Collect the terms in 3155 - 3155 + 15*r. 15*r Collect the terms in -33*v - 2*v**2 + 33*v. -2*v**2 Collect the terms in -178*g - 1 + 3 - 2 + 162*g. -16*g Collect the terms in 9*n**2 + 3*n**2 - 2*n**2. 10*n**2 Collect the terms in 6*a + 18 - 7*a + 9. -a + 27 Collect the terms in -23*b - 25*b + 38*b. -10*b Collect the terms in -120*d + 64*d + 42*d. -14*d Collect the terms in 3 + 6*l - 5 + 0. 6*l - 2 Collect the terms in 3*l**3 + 9*l**3 - 4*l**3 + 0*l**3. 8*l**3 Collect the terms in 7*s**3 + 2*s**3 - 3*s**3. 6*s**3 Collect the terms in -118*b**2 - 46*b**2 + 13*b**2. -151*b**2 Collect the terms in -36*k - 26*k**2 + 36*k. -26*k**2 Collect the terms in -5*w + 4 - 5 + 1. -5*w Collect the terms in -g**2 - 36*g**3 - g**2 + 2*g**2. -36*g**3 Collect the terms in 2 - s + 8*s**3 - 2 - s. 8*s**3 - 2*s Collect the terms in -20 + 20 + 7*w. 7*w Collect the terms in -3*g**2 - 6*g**2 - 2*g**2 - 10*g**2. -21*g**2 Collect the terms in -2623*q**2 + 0*q + 0*q + 2613*q**2. -10*q**2 Collect the terms in 16 + 3*a + 2*a + 5*a - 18. 10*a - 2 Collect the terms in -c**2 - 29*c + 0*c + 29*c. -c**2 Collect the terms in -13*z**2 - 11*z**2 + 87*z**2 + 83*z**2. 146*z**2 Collect the terms in 68 + 3*b + 181 - 13. 3*b + 236 Collect the terms in -1883 + 24*w + 1883. 24*w Collect the terms in 14*b + 2 - 19*b + 7*b. 2*b + 2 Collect the terms in -20*l**2 - 2 + 2. -20*l**2 Collect the terms in -635*s - 6*s**2 + 635*s. -6*s**2 Collect the terms in -1 + 244*g**2 + 1 - 242*g**2. 2*g**2 Collect the terms in -21103*d**3 + 10550*d**3 + 10554*d**3. d**3 Collect the terms in 295*w**3 + 200*w**3 + 3*w**3. 498*w**3 Collect the terms in 2136*r + 2160*r - 4294*r. 2*r Collect the terms in 333 - 670 + 3*o + 337. 3*o Collect the terms in -2*d**3 + 12*d**3 + 2*d - 30*d**3. -20*d**3 + 2*d Collect the terms in 17*q**3 - 9*q**3 - 6*q**3 - 9*q**3. -7*q**3 Collect the terms in -13*o**3 + 51*o**3 - 7*o**3 - 10*o**3. 21*o**3 Collect the terms in -20*z**2 + 2*z**2 + 38*z**2. 20*z**2 Collect the terms in 5*l**2 - l**2 - 8*l**2 - 2*l**2. -6*l**2 Collect the terms in 23*f + 809 - 809. 23*f Collect the terms in 85*x + 326*x - 44*x. 367*x Collect the terms in 3*c**3 + 4*c**3 - 3*c**3 - c**2. 4*c**3 - c**2 Collect the terms in 0*p**2 + 18*p**2 - 9*p**2 + 9 - 9. 9*p**2 Collect the terms in 18*n**3 - 2*n**3 + 25*n**3 + 4*n**3. 45*n**3 Collect the terms in -531968 + 10*d + 531968. 10*d Collect the terms in -y + 0*y + y - y. -y Collect the terms in 32*q**2 + 38*q**2 + 37*q**2 - 103*q**2. 4*q**2 Collect the terms in 263 - n**3 - 90 - 90 - 83. -n**3 Collect the terms in 6 - 8*s + 6*s - 2. -2*s + 4 Collect the terms in -82*x**2 + 172*x**2 - 92*x**2. -2*x**2 Collect the terms in -19*k**3 + 1148*k**2 - k**3 - 1148*k**2. -20*k**3 Collect the terms in -1 + 1 + 15471*z**2. 15471*z**2 Collect the terms in 11*o**3 + 6*o**3 - 4*o**3 + 15*o**3. 28*o**3 Collect the terms in -6545*p**2 + 6545*p**2 - 6*p**3. -6*p**3 Collect the terms in 28*y**2 - 36*y**2 + 36*y**2. 28*y**2 Collect the terms in -14*y**3 + y**3 - 36*y**2 + 36*y**2. -13*y**3 Collect the terms in -15 + 1183*g + 15. 1183*g Collect the terms in 6*o + 9*o - 8*o - 4*o. 3*o Collect the terms in -16*l + 71*l - 20*l - 18*l - 15*l. 2*l Collect the terms in 132 - 132 - 6*h**3. -6*h**3 Collect the terms in 12*n - 5*n**2 + 4*n**2 - 4*n**2. -5*n**2 + 12*n Collect the terms in 13*f**2 + 18*f**2 - 51*f**2 + 19*f**2. -f**2 Collect the terms in -149*r - 139*r + 420*r - 135*r. -3*r Collect the terms in 5*n**3 + 339*n**2 - 339*n**2. 5*n**3 Collect the terms in -46 + 43 + 2*h**2 + 5*h - 5*h. 2*h**2 - 3 Collect the terms in 9*a**3 - 103*a**2 + 41*a**2 + 17*a**2 + 45*a**2. 9*a**3 Collect the terms in -197*r**3 + r - r + 2*r. -197*r**3 + 2*r Collect the terms in 32*p**2 + 19*p**2 - 94*p**2. -43*p**2 Collect the terms in 39*p**3 - 8*p**3 - 11*p**3 - 13*p**3 - 8*p**3. -p**3 Collect the terms in 28*k**3 + 6 - 245*k**3 - 6. -217*k**3 Collect the terms in -s - 10*s**3 - 3*s + s. -10*s**3 - 3*s Collect the terms in 58*m + 1 - 27*m + 52*m. 83*m + 1 Collect the terms in 7*z**2 - 44*z**2 + 0 + 0. -37*z**2 Collect the terms in -6*q - 16*q - 4*q + 10*q. -16*q Collect the terms in 19*u**3 + 2 - 1 + 51*u**3. 70*u**3 + 1 Collect the terms in r**2 - 2*r**2 + r**2 - 3*r**2. -3*r**2 Collect the terms in -2*o**2 + 0*o**2 - 55*o**2 + 1 - 16*o**2. -73*o**2 + 1 Collect the terms in -765 + 765 - 4*a. -4*a Collect the terms in 38*q + 47*q - 27*q. 58*q Collect the terms in 89*d + 88*d - 272*d + 96*d. d Collect the terms in -12*i - 9*i + 51*i - 17*i - 12*i. i Collect the terms in 50*s**3 + 50*s**3 + 48*s**3 - 152*s**3. -4*s**3 Collect the terms in 30 - 3*u**2 - 33 + 0*u**2. -3*u**2 - 3 Collect the terms in -3*v**2 + 4 + 4*v**2 - 7 - 8. v**2 - 11 Collect the terms in -1 + 21*q - 3 - 38*q + 2. -17*q - 2 Collect the terms in -869*s + 76*s + 3738*s. 2945*s Collect the terms in 7 - 10 + 4 + 6*o**2 + 29*o**2. 35*o**2 + 1 Collect the terms in -42*j - 6*j - 12*j - 63*j. -123*j Collect the terms in -3*g**3 - 7*g**3 - 4*g**3. -14*g**3 Collect the terms in 3*r**2 - 3*r + 3*r + 0*r**2 - 6*r**2. -3*r**2 Collect the terms in 45*f + 40*f + 4 - 1. 85*f + 3 Collect the terms in 7 + x + 4 - 11. x Collect the terms in 111*f + 2 - 2 - 291*f + 133*f. -47*f Collect the terms in 1558 - 760 - 798 + x**3. x**3 Collect the terms in -4*g**3 + 7*g**3 + 383*g**2 - 383*g**2. 3*g**3 Collect the terms in 10 + 0*f**3 - 4*f**3 + f**3. -3*f**3 + 10 Collect the terms in -54*i**3 - 53*i**3 + 116*i**3. 9*i**3 Collect the terms in -2*n**3 + 3*n**3 + 4*n**3. 5*n**3 Collect the terms in 25*a + a**3 + 2 - 11 + 9. a**3 + 25*a Collect the terms in 176*n**2 - 86*n**2 - 88*n**2. 2*n**2 Collect the terms in -347 + 347 - 2*g. -2*g Collect the terms in 30*r - 10*r + 2*r. 22*r Collect the terms in 4*i**2 - 16 - 9 + 20 + 8*i**2. 12*i**2 - 5 Collect the terms in -2*r**2 + 2*r**2 + r**3. r**3 Collect the terms in -9*i**2 - 12*i**2 + 4*i**2. -17*i**2 Collect the terms in -95*x - 20*x - 50*x + 11*x. -154*x Collect the terms in -b + 32 - 40 + 43. -b + 35 Collect the terms in 24*k**2 - 7*k**2 - 5*k**2 - 7*k**2. 5*k**2 Collect the terms in -31*f + 5*f - 88*f. -114*f Collect the terms in 2*c - 12*c**2 + 13 - 13 - 3*c**2. -15*c**2 + 2*c Collect the terms in -29 - 8*o**2 - 11*o**2 + 29 + 16*o**2. -3*o**2 Collect the terms in -k**2 - 4*k**2 - 44 + k**2 + 3*k**2. -k**2 - 44 Collect the terms in -12*j + 18*j - 18*j**2 - 8*j. -18*j**2 - 2*j Collect the terms in -39 + 9*u - 8*u + u - 4*u. -2*u - 39 Collect the terms in -5 + 9 + 44 + 4*k. 4*k + 48 Collect the terms in 15*s**3 + 3*s**3 + 23*s**3. 41*s**3 Collect the terms in 13*a**3 - 732*a + 732*a - 2*a**3. 11*a**
{ "pile_set_name": "DM Mathematics" }
**2 - 16*h + 23. Let i be f(15). Let q(t) = 8*t - 17. Let c be q(i). Suppose -39 + c = 2*w. Is w composite? True Let r be ((-100)/15)/(-20) + 35306/(-6). Let i = 9270 + r. Is i a composite number? True Is (1934/(-4))/(57/(-25422)) a composite number? True Let v(m) = -46*m**3 + m. Let c be v(1). Let q = 296 + c. Is q a prime number? True Let p be 15 + 264945 + 0 + 3. Suppose 20173 = 16*f - p. Is f composite? True Let s = -558175 + 975042. Is s a composite number? True Let t(y) = -179*y - 285. Let d(c) = 178*c + 283. Let x(u) = 7*d(u) + 6*t(u). Is x(9) a prime number? False Let g(w) = 56*w**3 + w**2 + 2*w - 17. Let b(q) = q**3 - q**2. Let d(i) = 2*b(i) - g(i). Is d(-4) prime? True Let o(l) = 201*l**2 + 365*l + 11. Is o(43) a prime number? False Suppose 0 = -3*f - 0*f + 9. Suppose -8238 = -3*o - f*o. Is o a composite number? False Suppose 0*d = 3*d + 2*z - 40, 2*z + 40 = 2*d. Suppose -11*i - 11790 = -d*i. Suppose 0 = 5*b - 3*k + 291 - 6151, -2*b = -4*k - i. Is b composite? True Let q = 1600 - 11130. Let s = -4029 - q. Is s a prime number? True Suppose 3012*g = 3061*g - 13529929. Is g prime? False Let y be 232/6 + (-69)/9 + 7. Suppose y*h - 2157 = 35*h. Is h prime? True Suppose 13*d + 13965 + 9058 = 0. Let u = 3984 + d. Is u composite? False Let o = 32 - 28. Let z(m) = 87*m - 55. Is z(o) composite? False Let m be (40/(-30))/(2/(-15)). Suppose 7*b = m*b + 6. Is (-3945)/b - 16/(-32) a composite number? False Let h(a) = 169573*a - 1413. Is h(4) prime? False Suppose 47*g = 42*g, 5*g = m - 8927. Is m prime? False Let r(f) = f + 28. Let v be r(-31). Let j(i) = -189*i - 7. Let s(l) = l. Let p(h) = j(h) + s(h). Is p(v) composite? False Let y(o) = 153*o**2 + 3*o - 9. Let r be y(-5). Let b = r - -4989. Suppose -4*f - b = -2*u, -u + 4375 = -6*f + 8*f. Is u a prime number? False Suppose -o + 902 = -c, o - 6*c - 906 = -3*c. Suppose 3*r + 7*y - 2*y = 4468, -y + 4472 = 3*r. Suppose -3*t + r = -o. Is t prime? True Let h be -2 - 6/3 - 0/10. Is ((-38888)/(-20) - 0)*(-10)/h prime? True Suppose 3*c - r - 2801590 = -1154593, 5*c = r + 2744991. Is c a prime number? False Let w be (0 - -4 - 4)/1. Is w - (14 + -15)*(1061 - 0) a prime number? True Let u be (-2 - -1)/((-9)/(-188865)). Is 7/((-140)/u)*12/9 composite? False Let k(f) = 23*f**3 + 7*f**2 + 7*f + 11. Let b = -52 - -58. Is k(b) a composite number? False Suppose -21 = 3*h - 6*h + 3*u, -h - 2*u = 5. Suppose 4*q - h*m - 3269 = 0, 5*m + 796 = 6*q - 5*q. Is q composite? False Let x(o) = -2*o**3 + 12*o**2 + o - 9. Let r be x(6). Is (-2 - -261*2) + r prime? False Let d(x) = x**2 + 3*x. Let p be d(-3). Suppose p*s = 2*s - 4270. Suppose 6*j - j = s. Is j prime? False Let p(x) = 151*x + 33. Let j(q) = -755*q - 164. Let v(r) = 2*j(r) + 11*p(r). Suppose -3*t + 3*w + 27 = 0, -5*w + 20 = t + 29. Is v(t) composite? False Let h(c) be the first derivative of 200*c**2 - c - 29. Is h(2) a composite number? True Let f = 43 - 38. Suppose 3715 - 335 = -f*a. Let x = a + 1827. Is x a prime number? True Let c(s) = -s**3 - 4*s**2 + 4*s - 7. Let i be c(-5). Is (-1)/i*2488 + 5 a prime number? True Let a(k) = k - 4. Let x be a(9). Suppose x*z - 608 = 727. Suppose 3*t - z = 1122. Is t a composite number? False Suppose q = 5*p + 27309, 109190 = 4*q - 201*p + 204*p. Is q composite? False Let c(b) = 522*b - 85 - 39 - 130 + 49. Is c(6) prime? True Let n(d) = 2*d + 22. Let g be n(-9). Suppose t + 2*x + 396 = -t, 0 = -5*t - g*x - 986. Let y = -117 - t. Is y a prime number? False Suppose -17*y + 7 = 7. Suppose 5*r + 5*o - 6545 = y, -o = 2*r - 0*o - 2622. Is r prime? False Is 716160 - (-3 + -4)/(3 + -10 - -6) prime? False Let k(o) be the third derivative of -5*o**4/24 - 19*o**3/6 - 5*o**2. Let h be k(-5). Suppose -h*c = 5*c - 5269. Is c prime? True Suppose 28*i - 16*i + 744 = 0. Is i - -1524 - (-3 - 0) a prime number? False Let y be (5 - -7)/((-24)/(-9) - 2). Suppose -96102 = -0*f - y*f. Is f a composite number? True Suppose -4*a = 2*j - 2602, a + 4*j - 2612 = -3*a. Let x = 69 + a. Is x composite? True Suppose -3 = -30*l + 29*l. Is 898 + -3 + l + 1 a composite number? True Suppose -4*b + 54348 = 4*f, -5*f - 4*b = -91149 + 23219. Is f a prime number? False Let k(v) = 723*v**2 + 21*v + 227. Is k(-13) composite? True Suppose -2*o + 306 = -4*b + 3*b, 0 = -5*b. Let r = o - 94. Is r composite? False Let p(u) = -31029*u - 3385. Is p(-12) composite? True Let w be (-144)/60*(-5)/(-2). Is (-33)/(-9) - 5 - 16574/w a composite number? True Let l be (5 - 6 - 76/(-20))*930. Let q = 2230 + l. Is q composite? True Let f = -12546 + 70949. Is f composite? False Let i(m) = 9*m**3 - 8*m**2 + 24*m - 67. Let l be i(-14). Let c = 71194 + l. Is c a prime number? False Is 1/8 + (-203955)/(-40) composite? False Let a = -145 + 151. Suppose -a*h = -11*h - 100. Is (-22184)/(-20) + 4/h prime? True Let a(s) = -3*s**2 + s + 25*s**3 - 6*s**3 + 5394 - 9*s**3 - 9*s**3. Let h be a(0). Suppose -3*q = -3*w + h, -w - q + 1786 = -6*q. Is w prime? True Suppose -2*m = 5*b - 9981667 + 1809636, 0 = -4*b + 2*m + 6537632. Is b a composite number? False Let s(u) = -22*u**2 - 38*u + 8. Let a be s(-7). Is (-1 + 0)/(4/a) prime? False Let z = 115905 + -58216. Is z a composite number? False Let t(j) = 906*j**3 + 4*j**2 - 5*j - 11. Let p(c) = 302*c**3 + c**2 - 2*c - 4. Let y(q) = -8*p(q) + 3*t(q). Let s be y(-1). Let r = s + 509. Is r composite? True Suppose -367 = 14*p - 115. Is 7101/p*(-2)/3 prime? True Suppose 0 = 42*z - 38*z. Is -6*7/21 - (-1363 - z) prime? True Suppose 3*p + 38*p = -4*p + 28385865. Is p a composite number? False Let i = 408855 + -266558. Is i prime? True Let j be -9 + 959/105 - 139504/30. Let z = 10529 + j. Is z prime? True Let o be ((-30)/(-25))/(6/(-30)). Is (958/o)/((-22)/66) composite? False Let s(d) be the second derivative of -3*d**3 + d**2 - 31*d + 16. Let a = 7 + -11. Is s(a) a composite number? True Let k(g) = 9304*g**2 - 25*g - 128. Is k(-3) composite? True Let y(o) = 39*o**2 + 10*o - 2778. Is y(61) a composite number? True Suppose -10*h = -2*p - 7*h - 24, -p - 22 = h. Let x(a) = -78*a + 19. Is x(p) prime? True Let s(u) be the first derivative of 7*u**2 + 12 - 8*u**2 + 49*u - 29*u**2. Is s(-8) composite? True Suppose 5*f + 3*c + 60 = 0, 10 = 10*c - 12*c. Let x(z) = -424*z - 69. Is x(f) composite? True Is -3*-2*(-4)/(-42) - (-244920060)/294 a prime number? False Suppose -9*q + 16437 = -83184. Is q a composite number? False Suppose 1 - 16 = -5*k + 3*s, -3*k = -s - 9. Suppose 2*m - 14 = k*m. Is (-133190)/(-70) + (-4)/m composite? True Let s = -67676 - -138305. Let c = -46388 + s. Is c a prime number? False Let g(b) = 240*b**2 - 18*b - 11. Let o be 2/4*(-258)/43. Is g(o) prime? True Let j be (-4)/(-16) + 17*2/(-8). Let w(z) = z + 7. Let u be w(j). Suppose -3*q = u*b + b - 1160, -2*b - 2*q + 578 = 0. Is b prime? True Let m be (-72)/(-15)*30/24. Suppose m*a = 16317 + 27729. Is a prime? False Suppose -3*x + 4*x - 12 = 0. Suppose -22*h = -x*h - 44390. Is h prime? False Let n(k) = -k**3 + 15*k**2 - 141*k - 275. Is n(-112) composite? True Let c(k) = 31*k + 12. Let o(q) = -32*q - 11. Let b be 2/(-2) - 11/(33/15). Let y(u) = b*c(u) - 5*o(u). Is y(-6) prime? True Let c be (-3 - (-1 - 1))*2. Let u be (3 - 104) + -1 + c. Let t = 9 - u. Is t prime? True Let p(g) = g**3 + 3*g**2 - 5*g - 5. Let a be p(-4). Let m be a/2 + (-8910)/(-20). Let q = m - -358. Is q a composite number? True Suppose -427 = -71*a + 10*a. Suppose -4*c = -3*f + 10, 1 + 2 = 4*f + 5*c. Suppose -f*s - 21 = -n, -4*s - 15 = -a*s. Is n a composite number? False Let u = -1030 - -1054. Let y be 353 - (-1)/1*2. Let r = y + u. Is r prime? True Suppose -4*v = -13*v + 2439. Suppose 3*q = -5*y + 424, 2*q = 4*q + y - v. Is q prime? False Suppose 7949 = 4*q - 3*c, -3967 = -2*q + 4*c - 5*c. Suppose -q = -2*j + 3179. Suppose -5*t = 757 - j. Is t composite? True Suppose -307*m + 295*m + 248412 = 0. Is m composite? True Let o(f) = 361*f**2 + 20*f - 106. Is o(7) composite? True Is (3912567/102)/(((-12)/32)/(60/(-16))) a composite number? True Let c(m) = m**3 - 3*m**2 - 2*m + 3. Let x be c(7). Let t be (55/10 + -6)/((-1)/14). Suppose -x = 2*f - t*f. Is f a composite number? False Let l(w) = 8144*w**2 - 1253*w + 3764. Is l(3) prime? False Suppose 4*b - 2*k - 162414 = 0, -5*b - 8*k = -10*k - 203021. Is b composite? True Let c(z) = z**
{ "pile_set_name": "DM Mathematics" }
t v(h) be the third derivative of -h**5/20 + h**4/8 - 5*h**2. Find r such that v(r) = 0. 0, 1 Let t = -14 - -18. Suppose 2*j = 3*j + 2*u - 13, -5*u = -t*j - 13. Determine q, given that 2/3*q**j + 0 - 2/3*q + 0*q**2 = 0. -1, 0, 1 Let v(s) be the second derivative of -s**6/6 + 2*s**5 - 35*s**4/12 + 27*s. Let v(i) = 0. Calculate i. 0, 1, 7 Suppose v + 2*v + 4*a + 6 = 0, 0 = 4*v - 3*a - 17. Determine f, given that -12/7 + 8/7*f + 4/7*f**v = 0. -3, 1 Let q(t) = -t**3 - t**2 + t. Let p(m) = -17*m**3 + 7*m + 5*m + 5*m**3 + 2 - 18*m**2 + 1. Let k(y) = -p(y) + 15*q(y). Determine i so that k(i) = 0. -1, 1 Let a(b) be the second derivative of b**7/42 + 2*b**6/15 + 3*b**5/20 - b**4/3 - 2*b**3/3 - 4*b. Factor a(u). u*(u - 1)*(u + 1)*(u + 2)**2 Let n(l) = l**2 - l + 2. Let g(x) = 5*x**2 - 5*x + 11. Let y(t) = t - 11. Let j be y(0). Suppose r + 2 = 2*r. Let v(s) = j*n(s) + r*g(s). Factor v(w). -w*(w - 1) Let y be 4*(56/(-144) - 16/(-36)). What is c in 2/9*c**5 + y*c**3 + 0*c**2 + 4/9*c**4 + 0*c + 0 = 0? -1, 0 Let h(j) be the first derivative of -j**3 + 0*j**2 - 3/4*j**4 + 0*j - 6. What is v in h(v) = 0? -1, 0 Factor 3*c + 3*c + 13*c - 15*c**2 - 7*c + 3*c**3. 3*c*(c - 4)*(c - 1) Let o(a) be the second derivative of 1/6*a**4 - 1/45*a**6 + 0 + 2/3*a**2 - 1/30*a**5 + 9*a + 5/9*a**3. Factor o(q). -2*(q - 2)*(q + 1)**3/3 Let v(a) = a**3 - 13*a**2 - 6*a + 4. Let j(h) = -2*h**3 + 14*h**2 + 6*h - 5. Let t(g) = 4*j(g) + 5*v(g). Find p such that t(p) = 0. -2, -1, 0 Let c(k) be the first derivative of k**4/16 + k**3/4 + 3*k**2/8 + 10*k + 2. Let w(g) be the first derivative of c(g). Factor w(y). 3*(y + 1)**2/4 Suppose 5*s = 2*f - 4*f, 3*s = -3*f. Let r(y) be the first derivative of -1/3*y**2 - 2/3*y**3 + f*y - 1/2*y**4 - 2/15*y**5 + 1. Factor r(a). -2*a*(a + 1)**3/3 Let h(u) = 5*u**2 + 32*u + 45. Let o(g) = 15*g**2 + 97*g + 135. Let d(f) = 7*h(f) - 2*o(f). Determine b, given that d(b) = 0. -3 Let p(c) be the first derivative of -98/33*c**3 - 14/11*c**2 - 2 - 2/11*c. Factor p(y). -2*(7*y + 1)**2/11 Let v = 5 - 3. Let c = v + 3. Solve -5*l**4 - 2*l**3 - 6*l**5 + 2*l**c + l**5 = 0. -1, -2/3, 0 Let l(o) = -14*o**2 + 26*o - 10. Let j(t) = 2*t**2 - t + 1. Let v(r) = -15*j(r) - 3*l(r). Factor v(z). 3*(z - 5)*(4*z - 1) Let m(g) be the third derivative of -1/60*g**5 + 1/24*g**4 + 0*g**3 + 0 + 0*g - g**2 - 1/120*g**6 + 1/210*g**7. Suppose m(u) = 0. Calculate u. -1, 0, 1 Let n = 856/3 - 278. Let q = n - 7. Factor 2/3*h - q*h**2 - 1/3. -(h - 1)**2/3 Let t(k) be the first derivative of 2*k**5/5 - k**4 + 2*k**2 - 2*k + 4. Factor t(o). 2*(o - 1)**3*(o + 1) Let b(g) be the first derivative of 7*g**6/2 - 69*g**5/5 + 81*g**4/4 - 13*g**3 + 3*g**2 - 1. Let b(h) = 0. Calculate h. 0, 2/7, 1 Suppose 4*m - 6 = -2*b + 32, -2*b + 23 = m. What is u in 8 + 3*u**2 + 0*u - 2 - b*u = 0? 1, 2 Let h be 12/206*(-2)/88. Let w = h - -10303/2266. Factor -48/11*i - 90/11*i**2 - 8/11 - w*i**3. -2*(i + 1)*(5*i + 2)**2/11 Factor 2*q**3 - 162*q + 159*q - 3*q**5 + 4*q**3. -3*q*(q - 1)**2*(q + 1)**2 Suppose 0 = 2*d + 7 + 1. Let r(o) = 4*o**4 + o**2 + 2*o**2 + 2*o + 0*o**4 - 5*o**4. Let i(x) = -x**4 + 3*x**2 + 2*x. Let a(w) = d*i(w) + 5*r(w). Factor a(b). -b*(b - 2)*(b + 1)**2 Let n(f) be the third derivative of -f**7/240 + f**6/80 - f**5/160 - f**4/96 + 2*f**2 + 10*f. Factor n(s). -s*(s - 1)**2*(7*s + 2)/8 Suppose 6 + 3 = 3*v. Let d(k) = k**3 - 6*k**2 - 7*k. Let h be d(7). Factor 4/7*w**v + h*w + 0 - 2/7*w**2 - 2/7*w**4. -2*w**2*(w - 1)**2/7 Let l(k) be the first derivative of -k**5/20 - k**4/16 + k**3/12 + k**2/8 + 8. Factor l(d). -d*(d - 1)*(d + 1)**2/4 Factor 0*t**3 + 0 + 0*t - 8/23*t**2 + 2/23*t**4. 2*t**2*(t - 2)*(t + 2)/23 Let a be (1 + 5)/(-1*2). Let b be 34/8 + a - 1. Factor 1/2*u**2 - b*u + 0 - 1/4*u**3. -u*(u - 1)**2/4 Let n = -1 - -4. Let -j**4 - 8*j**3 - 8 - 2*j**2 + 8*j**2 + n*j**4 + 8*j = 0. What is j? -1, 1, 2 Let a be (-1 + 2)/(5/10). Let y = a + 0. Determine s so that -1/2*s + 1 - 1/2*s**y = 0. -2, 1 Let k(l) be the third derivative of -l**7/840 + l**6/160 - l**5/80 + l**4/96 + 3*l**2. Suppose k(s) = 0. What is s? 0, 1 Let w(l) be the third derivative of -l**8/672 + l**6/80 - l**5/60 + 7*l**2. Factor w(d). -d**2*(d - 1)**2*(d + 2)/2 Suppose 3*f - 22 = -4. Suppose 2*n = 5*n - f. Determine c, given that -1/4*c**3 + 0 - 1/4*c + 1/2*c**n = 0. 0, 1 Suppose -3*h + 17 = -r, 4*h - 41 = 7*r - 2*r. Let d = 6 - h. Factor 1/4*s**d + 0*s - 1/4. (s - 1)*(s + 1)/4 Suppose -3*r = -2*v - 3, -4*r + 4 = -5*v + 8*v. Factor 0*t - 1/6*t**2 + v*t**3 + 1/6*t**4 + 0. t**2*(t - 1)*(t + 1)/6 Suppose -7*v + 25*v = 36. Let y(p) be the first derivative of -1/3*p**3 + p + v + 0*p**2. Factor y(h). -(h - 1)*(h + 1) Let h(m) be the second derivative of 1/60*m**6 + 1/40*m**5 - 1/12*m**3 - 1/24*m**4 + 0 - 5*m + 0*m**2. Factor h(c). c*(c - 1)*(c + 1)**2/2 Factor -y - 20*y**3 + 16*y**2 - 10*y**5 + 35*y**4 + y - 36*y**2. -5*y**2*(y - 2)**2*(2*y + 1) Factor -1 + 9*t + 3*t**2 + 4 - 3*t. 3*(t + 1)**2 Let h(b) be the second derivative of b**4/6 - b**3/3 - 8*b. Factor h(t). 2*t*(t - 1) Let v = 27941/4140 + 1/1035. Suppose 0 = -m + 3*b - 15, 0 = 2*b - 2 - 8. Factor -3/2*y + v*y**2 + m - 21/4*y**3. -3*y*(y - 1)*(7*y - 2)/4 Let a be (-14 + 15)*3*1. Factor -5 - a - m + 5*m + m**2 + 11. (m + 1)*(m + 3) Suppose -2*b + 24 = 3*m, 3*m - 2*m - 3*b = -3. Let a be (m - 0)*2/3. Factor -a*u - 14*u**2 - 3*u**3 - 5*u**3 + 2 + 0*u**3. -2*(u + 1)**2*(4*u - 1) Let g(n) be the third derivative of n**7/630 + n**6/360 - n**5/60 - n**4/72 + n**3/9 - 5*n**2. Factor g(s). (s - 1)**2*(s + 1)*(s + 2)/3 Let g = -143099/206028 - -2/17169. Let j = 1/18 - g. Let -j*z + 3/2 - 9/4*z**2 = 0. Calculate z. -1, 2/3 Let t(x) be the third derivative of x**5/30 - x**4/4 + 2*x**3/3 - 16*x**2. Factor t(z). 2*(z - 2)*(z - 1) Let k be (-6)/15 - 27/(-30). Factor 1/2*i - k*i**2 + 1. -(i - 2)*(i + 1)/2 Let r(q) be the third derivative of 0*q - 1/336*q**8 + 0*q**5 + 0 + 0*q**4 + 0*q**3 + q**2 + 0*q**7 + 1/120*q**6. Factor r(i). -i**3*(i - 1)*(i + 1) Let c(u) = u**2 - 27*u + 126. Let v be c(6). Suppose -3/5*x - 3/5*x**3 + 6/5*x**2 + v = 0. Calculate x. 0, 1 Suppose 0 = -2*o + 5 - 1. Let -2*d**2 + d**3 + 0*d**2 - 2*d**o + d + 6*d**2 = 0. What is d? -1, 0 Let l(w) be the second derivative of w**7/189 - 2*w**6/135 + w**4/27 - w**3/27 - 36*w. Factor l(o). 2*o*(o - 1)**3*(o + 1)/9 Let b(s) = -s**2 + 6*s + 9. Let x be b(7). Suppose -x*j = -2*n + 2, 1 + 2 = 3*n. Let -2/7*a - 8/7*a**2 + j = 0. Calculate a. -1/4, 0 What is t in 0 + 8/11*t**2 - 8/11*t + 6/11*t**3 = 0? -2, 0, 2/3 Let d(v) be the first derivative of -3*v**5/5 + 3*v**3/2 + 3*v**2/2 - 2*v - 1. Let b(o) be the first derivative of d(o). Factor b(i). -3*(i - 1)*(2*i + 1)**2 Let v(a) be the third derivative of a**9/17280 + a**8/4480 + a**7/5040 - a**5/30 - a**2. Let m(x) be the third derivative of v(x). Solve m(l) = 0. -1, -2/7, 0 Suppose -2*n = 2*u - 14, 13 = -u - 0*n + 3*n. Let -11*y**u - y**5 - 6*y**3 - y + 7*y**2 - y**4 - 3*y**4 = 0. Calculate y. -1, 0 Let n(j) be the second derivative of -1/55*j**5 + 5/66*j**4 + 0 + 0*j**2 + 2/33*j**3 - 1/33*j**6 - j. Suppose n(u) = 0. Calculate u. -1, -2/5, 0, 1 Let c(o) be the third derivative of -o**6/300 + o**5/150 + o**2. What is h in c(h) = 0? 0, 1 Let m**4 + 66*m**3 + 3*m**4 + 4*m**2 - 58*m**3 = 0. What is m? -1, 0 Let x(d) = d + 5. Let s be x(-5). Suppose s = 5*q - 10 - 0. Factor -2*o**q + 2*o**4 + o - 3*o**3 + 3*o**3 - o**5. -o*(o - 1)**3*(o + 1) Factor -4 + 7*l**5 - 7*l**3 + 4 + 0*l**3 - 2*l**2 + 2*l**4. l**2*(l - 1)*(l + 1)*(7*l + 2) Let l(u) be the first derivative of 2/9*u**3 + u + 2 - 5/6*u**2. Determine z so that l(z) = 0. 1, 3/2 Let l be 3/(9/6) - 0. Suppose -i + 5*a + 8 = i, -a - 8 = -l*i. Factor -6*h**4 + 2*h + 0*h**2 - 8*h**3 + h**i - h**2. -h*(h + 1)**2*(5*h - 2) Factor 3*y**2 - 5*y**3 - 5*y**4 + 5*y + y**4 + 0*y**2 + 1. -(y - 1)*(y + 1)**2*(4*y + 1) Suppose -4*l - 32 = -3*z, -5*z + 2*l = -l - 35. Suppose 0 = -3*w - 3*r + 6, -z*w + 5*r + 13 = 5. Let 0*i + 0*i**3 - 1/3*i**w + 1/3*i**4 + 0 = 0. Calculate i. -1, 0, 1 Let c(d) = d**2 + d - 1. Suppose -2*r + 6 = 4*y - 14, y - 32 = -5*r. Let b(x) = 17 - 20*x**2 - r*x - x - 3 + x. Let k(w) = -b(w) - 12*c(w). Factor k(i). 2*(i - 1)*(4*i + 1) Let r(l) = -3*l + 26. Let n be r(8). Let c(g) be the second derivative of 1/12*g**3 + 1/24*g**
{ "pile_set_name": "DM Mathematics" }
4. Let j(f) = 3*m(f) - 4*x(f). Calculate j(g(c)). -c**2 Suppose -41*n + 49*n - 16 = 0. Let i(c) = -7*c**n - 12 + 12. Let p(z) = -6*z. Calculate i(p(l)). -252*l**2 Let g(i) = 39490*i - 19600*i - 19889*i. Let h(k) = 181*k - 42*k + 73*k. Calculate g(h(z)). 212*z Suppose 0 = -8*k + 369 + 119. Let w(l) = -69*l**2 - 2 + 2 + k*l**2. Let q(b) be the second derivative of b**3/3 + 4*b. Determine q(w(x)). -16*x**2 Let s(f) = 6. Let v(p) = p - 4. Let j(i) = 2*s(i) + 3*v(i). Let x(y) = 351 - 176 - 182 - 2*y. What is j(x(k))? -6*k - 21 Let g(f) = -2*f - 1599950. Let j(z) = -104*z**2. Calculate g(j(k)). 208*k**2 - 1599950 Let m(s) = -369882*s**2. Let q(k) = 175*k. Determine q(m(d)). -64729350*d**2 Let w(f) = 1143*f. Let d(y) = 15*y**2 - 8*y + 8. Let t(q) = -34*q**2 + 18*q - 18. Let g(z) = 9*d(z) + 4*t(z). What is g(w(r))? -1306449*r**2 Let o(v) = -21*v. Let c(z) = 20*z. Let u(p) = 6*c(p) + 4*o(p). Let l(i) be the second derivative of i**3/6 - 3138*i. Give u(l(g)). 36*g Let o(x) = x. Let m(u) be the first derivative of -115/2*u**2 + 74 + 0*u. Calculate o(m(r)). -115*r Let b(p) = -2*p**2. Let u(a) = 127512707*a**2. What is b(u(j))? -32518980892935698*j**4 Let z(p) = 5*p**2 - 25*p + 5. Let i(t) = -2*t**2 + 5*t - 1. Let c(q) = -5*i(q) - z(q). Let l(r) = 839*r. Determine l(c(h)). 4195*h**2 Let z(l) = -15*l. Let u(r) = -47*r - 9. Let k(o) = 1540*o + 294. Let i(g) = -3*k(g) - 98*u(g). Give i(z(p)). 210*p Let m(a) = 38*a. Let r(y) = -13*y - 6. Let b(l) = 51*l + 23. Let c(s) = -6*b(s) - 23*r(s). What is c(m(d))? -266*d Let q(w) = 280*w - 338. Let p(n) = 78*n - 1. Give p(q(a)). 21840*a - 26365 Let n(h) = 71*h - 10. Let m(d) = -13*d - 1. Let b(f) = 6*m(f) + n(f). Let p(i) = 37*i. Give b(p(x)). -259*x - 16 Let v(t) = -44*t - 1. Let m(s) = 1250207*s. What is m(v(h))? -55009108*h - 1250207 Let o(d) = 6966*d**2 - 20*d + 1. Let b(x) = -752*x. Calculate b(o(c)). -5238432*c**2 + 15040*c - 752 Let d(q) = 4*q. Suppose -5*p - 3*m = 182, 2*p - 2*m = -52 - 8. Let b = p - -36. Let u(l) = -4*l**b - 2*l - 2*l**2 + 2*l. Determine d(u(x)). -24*x**2 Let k(o) = 13*o. Let f = -932 - -928. Let s(g) = 2*g. Let y(m) = f*s(m) + k(m). Let z(n) = -7*n. Calculate z(y(l)). -35*l Let f(t) be the third derivative of -t**4/3 + t**3/2 + t**2. Let v(s) = 1471753913 - 2*s - 1471753913. Give f(v(n)). 16*n + 3 Let v(y) = -2*y - 2098894. Let g(t) = 20*t - 6. Give g(v(l)). -40*l - 41977886 Let o(l) = -2*l + 26. Let t be o(-16). Let q(u) = 119*u - t*u - 57*u. Let p(f) = -f - 4*f - 4*f. Calculate p(q(x)). -36*x Let u(t) = -7*t + 55. Let m(s) be the second derivative of s**3/3 + 2077*s. Calculate m(u(b)). -14*b + 110 Let v(b) be the first derivative of 26*b**2 + 304. Let o(k) = -3*k - 5. Let l(t) = 3*t + 4. Let f(i) = 5*l(i) + 4*o(i). What is f(v(a))? 156*a Let q(j) = -3*j. Let g(s) = -1520*s**2 + 58878939*s - 58878939*s. Determine g(q(d)). -13680*d**2 Let m(l) = 234*l + 26. Let i(s) = -103*s - 12. Let r(c) = -9*i(c) - 4*m(c). Let y(f) = -3*f**2 + 7*f. Determine r(y(o)). 27*o**2 - 63*o + 4 Let x(h) = -2*h**2. Let p = -13155 + 13155. Let a(v) be the third derivative of 0*v - 1/24*v**4 - 37*v**2 + p*v**3 + 0. Calculate a(x(o)). 2*o**2 Let k(t) = -182*t**2 - 4*t + 370*t**2 + 4*t - 187*t**2. Let d(x) = -8*x**2 + 133. What is d(k(m))? -8*m**4 + 133 Let x(u) = 3*u - 22. Let y(m) = m**2 - 118*m - 40. Calculate y(x(d)). 9*d**2 - 486*d + 3040 Let d(z) = -97*z**2 - 28576. Let w(t) = 2*t. Calculate d(w(n)). -388*n**2 - 28576 Suppose c - 1 - 4 = 0. Let d(r) = c*r - 4*r + 4*r + 5*r. Let z(f) be the first derivative of -f**2 + 167. Determine d(z(a)). -20*a Let a(y) = 8*y**2. Let h = -40 + 9. Let u = 31 + h. Let f(m) = 5*m**2 + u*m**2 - 7*m**2. Give f(a(n)). -128*n**4 Let l(x) = 30*x**2. Let j(r) = 23*r**2 + 2*r + 27. What is j(l(u))? 20700*u**4 + 60*u**2 + 27 Let z(s) = -35*s + 28. Let g(c) = -c + 1. Suppose -f - 28 = -2*f. Let v be (-2*f)/(-1 - 1). Let w(b) = v*g(b) - z(b). Let o(i) = i. Give o(w(x)). 7*x Let f(a) = 110*a**2. Let c(t) = -6*t**2 + 7*t**2 + 0*t**2. Let p(o) = 88*c(o) - f(o). Let z(g) = -16*g**2 + 44*g**2 - 16*g**2 - 15*g**2. What is z(p(q))? -1452*q**4 Let t(s) = 23*s**2 - 50*s**2 + 13*s**2 + 19*s**2. Let c(u) = 397*u**2. Calculate t(c(p)). 788045*p**4 Let b(j) = j. Let h(g) = -2*g**2 + 41*g + 53. Let z be h(18). Let a(m) = 3*m - 143 + z. What is a(b(q))? 3*q Let c(p) = -16*p + 5. Let k(h) = 2*h + 1146. Calculate k(c(r)). -32*r + 1156 Let x(u) be the second derivative of u**4/3 - 28*u. Let q(i) = 11*i**2 + 14*i - 21. Let k(n) = -6*n**2 - 6*n + 9. Let b(o) = 7*k(o) + 3*q(o). Determine x(b(l)). 324*l**4 Suppose -5*k - 2*n + 3*n + 27 = 0, 4*k - 22 = n. Suppose -k*d + 13 - 3 = 0. Let g(b) = 24*b**2 - 35*b**d + 18*b**2. Let m(y) = -y. Give m(g(a)). -7*a**2 Let a(s) = 3*s. Let y be ((-12)/(-10))/(3/5). Let f(m) = 14 - 3*m**y - 14 + 5*m**2 + 6*m**2. Give f(a(h)). 72*h**2 Let d(q) = 9*q**2. Suppose -2*v + 79*v = 0. Let l(u) be the third derivative of v*u**4 + 0 - 1/30*u**5 - 22*u**2 + 0*u**3 + 0*u. Determine d(l(x)). 36*x**4 Let y(b) = -2*b**2. Let f(l) = -20*l + 15593. Let m(k) = -6*k + 5199. Let d(u) = 2*f(u) - 7*m(u). Give d(y(q)). -4*q**2 - 5207 Let y(x) be the first derivative of -91*x**3 + x + 3509. Let q(g) = g**2. Determine q(y(r)). 74529*r**4 - 546*r**2 + 1 Let v(w) = -2*w. Let u be (-92)/(-1)*(-30)/(-40). Suppose 0*g = 3*g - u. Let m(f) = -3*f + f - g*f**2 + f. Give v(m(o)). 46*o**2 + 2*o Let v(t) = -t - 6*t - t + 5*t. Let d(y) be the third derivative of 0*y**4 + 0*y**3 + 0 - 4*y**2 + 1/15*y**5 + 0*y. Determine v(d(k)). -12*k**2 Let k(a) = 32*a - 7 + 1 - 1 + 7 - 42*a. Let t(u) = 10*u**2 - 3*u - 3. Let g(j) = 39*j**2 - 13*j - 13. Let w(p) = 3*g(p) - 13*t(p). Determine w(k(s)). -1300*s**2 Let j(r) = 529*r**2. Let v(p) = -3803*p**2. Determine v(j(x)). -1064235323*x**4 Let w(z) = 2*z**2 - 17*z. Let l(n) = -32*n**2 + 20*n - 1. Let g(d) = 32*d**2 - 30*d + 2. Let r(f) = -2*g(f) - 3*l(f). Determine w(r(a)). 2048*a**4 - 672*a**2 + 19 Let a(l) = -3*l**2 - 770*l - 5. Let d(k) = 7*k + 1. Let f(b) = -a(b) - 7*d(b). Let v(p) = -p. Give f(v(h)). 3*h**2 - 721*h - 2 Let x(u) = 2*u + 763. Let z(p) = 6*p - 378. Give z(x(f)). 12*f + 4200 Let k(c) = 2*c. Let u be (-4)/(-8) + (-231)/22. Let j(d) = 295*d**2 - 20*d + 20. Let y(h) = 98*h**2 - 6*h + 6. Let o(i) = u*y(i) + 3*j(i). Calculate o(k(v)). -380*v**2 Let f(g) = -2*g. Let c(i) = -2*i - 3*i + 17*i**2 + 16 - 17*i**2 + 38*i**2. Let y(b) = -25*b**2 + 3*b - 10. Let d(l) = 5*c(l) + 8*y(l). Calculate d(f(q)). -40*q**2 + 2*q Let m(c) be the first derivative of 8*c**3 + 27. Let f = -28 - -31. Let o(y) = 3*y - f*y + 0*y + y. What is m(o(v))? 24*v**2 Let k(f) = 1894421*f. Let g(s) = s. Determine k(g(w)). 1894421*w Let a(z) = 3*z**2. Let b = 12546 - 12545. Let j(t) = -5*t + 2. Let p(r) be the second derivative of r**2/2 + r. Let c(u) = b*j(u) - 2*p(u). Determine c(a(i)). -15*i**2 Let s(c) = 2*c**2 - 2. Let g(n) be the second derivative of 9*n**3/2 - 3865*n. Calculate g(s(i)). 54*i**2 - 54 Let k(a) = 36*a + 5. Let o(w) = -4*w**2 + 2*w - 36. Calculate k(o(v)). -144*v**2 + 72*v - 1291 Let k(i) be the second derivative of 47*i**3 + 23*i - 19. Let w(c) = 22*c**2. Give w(k(y)). 1749528*y**2 Let y = 40 - 34. Suppose 0 = y*q - 10 - 44. Let z(c) = q - 6 - c - 3. Let h(s) = 5*s. Calculate z(h(w)). -5*w Let z(x) = -164*x + 18. Let c(j) = 17182*j. Determine c(z(w)). -2817848*w + 309276 Let s(x) = -17802498*x. Let c(h) = -7*h. What is s(c(z))? 124617486*z Let u(a) = 2773514 - 2773514 - 5*a. Let o(f) = -3*f**2 - 3*f. Determine u(o(q)). 15*q**2 + 15*q Let c be ((-2)/(-1 - 1))/(3 - 4). Let h(a) = 16*a + 6. Let x(z) = 3*z + 1. Let i(m) = c*h(m) + 6*x(m). Let d(w) = -3*w**2 + 7. Give i(d(q)). -6*q**2 + 14 Let c(j) = 13*j. Let b(q) = -18698*q**2 - 17. Calculate c(b(m)). -243074*m**2 - 221 Let c(x) = 16*x**2. Let j(l) = -9*l**2. Let g(f) = 4*c(f) + 7*j(f). Let u(t) be the first derivative of 0*t**2 + 3 + 64/3*t**3 + 0*t. Calculate u(g(a)). 64*a**4 Let m(t) be the second derivative of -2*t**3/3 + 6*t + 229. Let p(a) = -102*a - 1. Calculate m(p(w)). 408*w + 4 Let u(s) = -s. Let o be (-1*736/20)/((-6)/30). Let t(n) = 85*n + 78*n - o*n. What is u(t(p))? 21*p Let u(s) = 2 - 2 + 3*s**2. Let l(x) = -355 - 4*x + 4*x + 734 + x - 382. Determine l(u(r)). 3*r**2 - 3 Let g(b) = -2*b**2. Let a(x) = -1599*x - 1557*
{ "pile_set_name": "DM Mathematics" }
0 at least 62/7? True Which is smaller: 5285 or 5286? 5285 Which is greater: 45 or -246? 45 Which is bigger: -20/19 or -1? -1 Which is greater: -43/31 or 0? 0 Is 3/176 equal to 0? False Which is smaller: 2181/2 or 1092? 2181/2 Is 361 greater than or equal to 360? True Which is bigger: 0 or -3237? 0 Is -27821/3 greater than or equal to -9273? False Which is smaller: 0 or -2/1085? -2/1085 Which is greater: 37/5 or 8? 8 Which is bigger: 0 or -5/291? 0 Which is bigger: 5 or 1823? 1823 Is -30 at most 2/25? True Which is smaller: 196/57 or 4? 196/57 Is -4 less than or equal to -5? False Is 1 >= 14/29? True Is -4/5011 equal to 0? False Is 14428 not equal to 14427? True Which is greater: 9 or -0.6? 9 Is -382 > -381? False Is -1 <= 20/171? True Which is greater: -1366 or -1367? -1366 Is -3/2101 smaller than 1? True Is 31 greater than or equal to 95/3? False Which is greater: 2017 or 1? 2017 Which is bigger: 5869 or 5870? 5870 Which is smaller: 7 or 25/3? 7 Which is smaller: -1 or -820? -820 Which is bigger: 0 or -2/31? 0 Which is greater: 1 or -4534? 1 Is -2/3437 less than or equal to -1? False Which is bigger: 373 or 371? 373 Which is smaller: -262/33 or -7? -262/33 Which is smaller: -90 or -89? -90 Which is greater: 5 or 467? 467 Is 0 less than or equal to 2/56315? True Which is greater: 11/123 or 0? 11/123 Which is smaller: 575 or 574? 574 Are -143 and -143 unequal? False Which is greater: -547 or -1/3? -1/3 Which is smaller: 17 or 1/4? 1/4 Is -3/2 less than -6? False Is -141 not equal to -142? True Are -45 and -31 equal? False Which is greater: 0.1 or 150? 150 Is 125/7 less than or equal to -1? False Is 3 greater than or equal to -374? True Are 1 and 5/67 nonequal? True Is 8 > 16? False Is 0 less than 756? True Which is smaller: -15/254 or -1? -1 Is 36 != -12? True Is 22/491 not equal to 0? True Is 48457 > 48458? False Which is smaller: 8 or -92? -92 Is 1112 <= 3340/3? True Which is smaller: 106 or 2/3? 2/3 Which is bigger: 0 or -3? 0 Is 11 != -113? True Is 2/8357 equal to 0? False Which is smaller: -39 or -40? -40 Which is smaller: 6 or -251? -251 Which is greater: 0 or -1/576? 0 Which is smaller: 3250 or 3252? 3250 Is -46 at most as big as -61? False Is -26 at least as big as -24? False Is -360/23 less than -16? False Which is bigger: -36 or -54? -36 Is -412 >= -415? True Is -10109/7 < -1443? True Do 34/7 and 5 have the same value? False Do -212 and -212 have the same value? True Which is smaller: -3 or -112/39? -3 Which is greater: -10 or 0.122? 0.122 Which is bigger: -10/1591 or -1? -10/1591 Which is bigger: -730 or -731? -730 Which is bigger: 44 or -1? 44 Is 1 at most as big as -2/3799? False Is 25 < 78? True Is -70/1291 bigger than 1? False Which is bigger: -5 or -854/145? -5 Is -1002 at most as big as -1003? False Which is smaller: 0 or -1/6713? -1/6713 Is -15 less than or equal to -19? False Is 17 at most 2? False Which is smaller: 977 or 4881/5? 4881/5 Are 3671 and 3670 equal? False Is -0.3 <= -12.8? False Is -284 smaller than -273? True Is 995 at most 994? False Is 1323 less than or equal to 1320? False Is 10 equal to 22? False Is -301 less than -289? True Is -3 < -13/4? False Is -362 > -7? False Is 15499 at least as big as 15498? True Is -2/3 at least as big as -0.00379? False Are 3/7 and 432 equal? False Which is greater: -9636 or -9637? -9636 Is -2.927 less than or equal to 1? True Which is smaller: 91 or 97? 91 Is -1 at most -8/51? True Is -11 smaller than -14/5? True Is 5 != 660/161? True Is 1319 != 1318? True Which is greater: 1/7138 or 0.1? 0.1 Is -1253 greater than or equal to -1252? False Do 0.4 and 19 have the same value? False Is 1385 less than 1391? True Is -1.5 bigger than 86? False Which is smaller: -1 or -2/733? -1 Which is smaller: -12.4 or 6/11? -12.4 Which is smaller: 561 or 593? 561 Which is smaller: 0.27 or 2/5? 0.27 Which is smaller: 676 or 8778/13? 8778/13 Which is smaller: -344 or -343? -344 Which is smaller: -1 or 1/359? -1 Is -2 > -12/5? True Which is greater: -504 or -503? -503 Which is smaller: -1/46 or -1/15? -1/15 Is -52 <= -50? True Which is greater: 44/29 or 3? 3 Is -1/6058 < -1? False Is 1 >= -2/769? True Which is smaller: -1 or -11/1096? -1 Is -105 smaller than -107? False Is 1661/4 at least 414? True Is 8/9 less than 2? True Which is greater: 2/1095 or -1? 2/1095 Which is greater: 11/811 or 1? 1 Is -2 at most -1/2? True Which is smaller: 0 or -1/615? -1/615 Are -21 and -15 equal? False Is 198 less than 2? False Is -69 >= -0.1? False Which is smaller: 1 or 16429? 1 Is -0.2 greater than -1027? True Which is smaller: 0 or 1/39231? 0 Which is smaller: -3026 or -3025? -3026 Which is smaller: 485/44 or 10? 10 Is 9083 <= 9081? False Is -276 not equal to -12? True Is -3/580 not equal to -1? True Do -39 and 7 have different values? True Is 498/37 smaller than 12? False Is -450 bigger than -14? False Which is greater: -0.053 or 2/71? 2/71 Which is smaller: 98 or 105? 98 Which is bigger: 360/11 or 32? 360/11 Which is greater: 3/10 or 37? 37 Is -4520/7 <= -645? True Which is smaller: -1 or -22/39? -1 Which is smaller: 1038 or 1039? 1038 Is 25/16 > 3? False Is -185 at most as big as -184? True Is 158/33 greater than 5? False Which is bigger: 2 or 58/27? 58/27 Is 1720 at most 1713? False Is -1862 > -1863? True Which is greater: 17/2 or 57? 57 Is -2486 at least -2488? True Do 1 and 6/629 have different values? True Is 94 at least 89? True Are -6 and -1/14 unequal? True Which is smaller: -3 or -13/4? -13/4 Which is bigger: -846/13 or -65? -65 Which is bigger: 4 or -27? 4 Is -20/17 <= -0.2? True Which is smaller: 425 or 427? 425 Is -34158 bigger than -34158? False Is 3513 greater than or equal to 3514? False Are -13 and 195/2 non-equal? True Is -0.2 bigger than -2526? True Is -871 not equal to -869? True Is -6 <= 171? True Is 9824 >= 9826? False Are 94 and 98 unequal? True Is -0.1516 >= 0.1? False Is 43 greater than 46? False Which is greater: -90 or -83? -83 Is -71 at least as big as -68? False Which is greater: 0 or 108? 108 Which is smaller: -1 or -20/27? -1 Is -13594 bigger than -13594? False Is -3218 greater than or equal to -0.1? False Is -5566 less than -5566? False Which is smaller: 42/1247 or 1? 42/1247 Is 172 less than 170? False Which is bigger: 349 or 348? 349 Which is smaller: 1/7166 or -1? -1 Which is greater: 197 or 219? 219 Do 0 and 1/49 have the same value? False Is 1/4162 at least 1? False Is -383 at least as big as -37? False Is -254 greater than -255? True Which is bigger: 8191/4 or 2047? 8191/4 Which is bigger: 0 or 32/31? 32/31 Which is smaller: 0.468 or 0? 0 Which is bigger: 0.3 or -0.0825? 0.3 Which is bigger: -2/5 or 0.892? 0.892 Is -1130 at most as big as -1130? True Is -4696 not equal to -4696? False Which is bigger: -3/4781 or 0? 0 Which is smaller: -10 or -835/73? -835/73 Is -134 equal to -134? True Which is smaller: 170 or 157? 157 Is 88 less than or equal to 104? True Are -5858 and -1 unequal? True Which is smaller: 37 or 36? 36 Which is smaller: -601/24 or -25? -601/24 Which is bigger: 2 or 73? 73 Does 2219 = 2220? False Is -67 > -55? False Is 12606 bigger than 12606? False Which is bigger: 2/53 or 0.41? 0.41 Which is greater: -4/25505 or 0? 0 Is 8/5 not equal to -0.2? True Which is bigger: -1566 or -1565? -1565 Is -10 smaller than 579/2? True Which is bigger: 616 or 615? 616 Is 1 < 4/9915? False Which is smaller: 3/2 or 0.3? 0.3 Which is bigger: -2299 or -4/3? -4/3 Which is bigger: -6 or -20/3? -6 Which is smaller: -50/9 or -7? -7 Are 2/7489 and 0 nonequal? True Is -1691 at least as big as -1690? False Is -2004/23 >= -86? False Which is bigger: -1570 or -1569? -1569 Which is smaller: 1.3 or 5/6? 5/6 Which is smaller: 18/43 or 0? 0 Is -2 at least as big as -24/17? False Which is smaller: -110 or -113? -113 Which is greater: -108 or -106? -106 Is 1 != -3/2068? True Are 1/43084 and 0 non-equal? True Is 1 bigger than 2/155? True Which is smaller: -1/537 or 0? -1/537 Which is bigger: 1 or -7106? 1 Are 1 and 1/600 nonequal? True Is -29 smaller than -19? True Are -6 and 5 equal? False Are -2/9 and -0.1 non-equal? True Which is greater: -7/2 or 10? 10 Is 2/11511 less than -1? False Which is smaller: 3/88 or 0? 0 Is -1574 != -1572? True Is -0.178 not equal to -26/7? True Is 104 not equal to 10
{ "pile_set_name": "DM Mathematics" }
10) - sqrt(110)*-1))/(5*3*sqrt(10)). -2*sqrt(11)/5 Simplify (1*sqrt(119))/sqrt(7) + sqrt(102)/sqrt(216). 7*sqrt(17)/6 Simplify (4 + -1 + (2 + sqrt(13) - sqrt(13)) + sqrt(13))**2*-5. -190 - 50*sqrt(13) Simplify (sqrt(5)*1 + -1 - (sqrt(5) + -2*sqrt(20) + sqrt(20)) - (sqrt(480)/sqrt(6) - (1 + sqrt(5)*-1)))**2. 45 Simplify (sqrt(42)/sqrt(54))**2 + sqrt(700) + 0. 7/9 + 10*sqrt(7) Simplify ((sqrt(1008) + sqrt(1008) + sqrt(1008)*-3)/(2*sqrt(324)))**2. 7/9 Simplify ((0 + sqrt(832))*-4)**2. 13312 Simplify ((1*sqrt(150))/sqrt(6))/((-1*sqrt(55))/sqrt(11)). -sqrt(5) Simplify (5*(sqrt(304) - (sqrt(304)*2 - sqrt(304))))**2 - (sqrt(190)/(1*sqrt(10)) + (-1*sqrt(57))/sqrt(3)). 0 Simplify sqrt(99) + (-5*(-1 + sqrt(99)))**2. -147*sqrt(11) + 2500 Simplify 4*(3*(sqrt(70) - (sqrt(70) + -1*sqrt(70))))/sqrt(10). 12*sqrt(7) Simplify ((-4*sqrt(91)*-4 - sqrt(91))/((sqrt(42)*4)/sqrt(6)))**2. 2925/16 Simplify (-3*(sqrt(200) + (-1*sqrt(200) - sqrt(200))*-1 - sqrt(200)))**2. 7200 Simplify (-2*sqrt(2736) - sqrt(19)) + (sqrt(19) - ((sqrt(19) - sqrt(95)/sqrt(5)) + 2))**2. -29*sqrt(19) + 23 Simplify -5 + -2*sqrt(425). -10*sqrt(17) - 5 Simplify (sqrt(1296)*-1 + sqrt(1296))/sqrt(8). 0 Simplify -3 + (sqrt(1573) + -3)**2 + 4. -66*sqrt(13) + 1583 Simplify -3*((sqrt(130)*1 - sqrt(130))*4)/(-2*sqrt(1440) + sqrt(1440)). 0 Simplify (sqrt(63)*-3)**2 + -5. 562 Simplify -2*(4 + (sqrt(40)/sqrt(5) + sqrt(8))**2). -72 Simplify sqrt(17) + (sqrt(17) - (-3 + sqrt(2448))) - (-1*sqrt(2057) + sqrt(2057)). -10*sqrt(17) + 3 Simplify (sqrt(90)/(-2*sqrt(5)))/(sqrt(9) - ((sqrt(81) - (sqrt(81) - (sqrt(81) + 1*sqrt(81) - sqrt(81)) - sqrt(81))) + sqrt(81) - sqrt(81))). sqrt(2)/10 Simplify (sqrt(720) - (sqrt(720) + 2*sqrt(720)))/(sqrt(18)/sqrt(32)). -32*sqrt(5) Simplify (-1*(sqrt(11) + sqrt(11) + (sqrt(55) - sqrt(220)/sqrt(4))/sqrt(5)))**2. 44 Simplify (-5*(1*sqrt(209) - sqrt(209) - sqrt(209)) + sqrt(209) - sqrt(209) - sqrt(209) - sqrt(209))/(-1*sqrt(891)). -sqrt(19)/3 Simplify -5*-2*sqrt(30)/sqrt(6). 10*sqrt(5) Simplify 1 + (1*(0 + sqrt(63)) + sqrt(63))**2. 253 Simplify -2 + (0 + sqrt(3))**2 - sqrt(21)/(-1*sqrt(7)). 1 + sqrt(3) Simplify -3*(sqrt(36)/sqrt(3))/sqrt(4). -3*sqrt(3) Simplify (5 + sqrt(102)/(sqrt(6) + 2*sqrt(6)))*-5. -25 - 5*sqrt(17)/3 Simplify (-2 + 2 + sqrt(192))**2. 192 Simplify sqrt(30)/(6*(sqrt(10) + sqrt(10)*2)). sqrt(3)/18 Simplify (0 + sqrt(20) + 1 - sqrt(20))**2 - (sqrt(40)/sqrt(2)*1)**2. -19 Simplify (sqrt(17) + sqrt(34)/sqrt(18))**2 - (5 + (sqrt(17) - sqrt(17)*2) - sqrt(17)). 2*sqrt(17) + 227/9 Simplify 4 + sqrt(20)/(sqrt(40)/sqrt(4)). sqrt(2) + 4 Simplify (sqrt(17) - -1*sqrt(17)) + 1 - (sqrt(272)*-1 + sqrt(17)). 1 + 5*sqrt(17) Simplify 4*(1 + sqrt(2299) + sqrt(2299))*-5. -440*sqrt(19) - 20 Simplify (sqrt(112) + -1*(sqrt(112) - 1*sqrt(112))**2)*2*5. 40*sqrt(7) Simplify ((-2 + sqrt(98))*-6 - sqrt(98))**2 + 2. -1176*sqrt(2) + 4948 Simplify sqrt(18)/sqrt(9)*-3 - (sqrt(8) - sqrt(24)/sqrt(3)). -3*sqrt(2) Simplify ((sqrt(27) + 4)*6)**2. 864*sqrt(3) + 1548 Simplify (sqrt(52)/(sqrt(64)*-1) + -3)**2. 3*sqrt(13)/2 + 157/16 Simplify -1 + (-1*sqrt(320))/sqrt(10). -4*sqrt(2) - 1 Simplify -3 + 1*sqrt(1539). -3 + 9*sqrt(19) Simplify -5 + sqrt(187)/(-1*sqrt(11)). -5 - sqrt(17) Simplify (-1 + sqrt(448) + -3 + 4)**2. 448 Simplify sqrt(18)/(-1*sqrt(1089)). -sqrt(2)/11 Simplify (-1*4*sqrt(2) - (0 + sqrt(4)/sqrt(2)))**2. 50 Simplify ((sqrt(30) - (sqrt(1920) - (sqrt(1920) + 2*sqrt(1920) - sqrt(1920))))/(sqrt(726)*2 + sqrt(726) + sqrt(726)))**2. 405/1936 Simplify (sqrt(605) + (sqrt(605) - (sqrt(605) + sqrt(605) + 1 + 0)) + sqrt(605) - (sqrt(605) + (-1*(0 + sqrt(605)) - sqrt(605))))**2. -44*sqrt(5) + 2421 Simplify -6*((sqrt(19)*1)**2 + -5 + 0). -84 Simplify 6*sqrt(66)/(sqrt(72)/sqrt(1452)). 66*sqrt(11) Simplify (sqrt(133) + -5*sqrt(133)*-2)/(-1*(sqrt(35)/sqrt(5) + sqrt(7))). -11*sqrt(19)/2 Simplify (-6*sqrt(480))/(sqrt(216) - sqrt(54)). -8*sqrt(5) Simplify sqrt(9)/(sqrt(75)*-2). -sqrt(3)/10 Simplify (-2*sqrt(1300) + sqrt(1300))**2*6. 7800 Simplify (2 + -2 + (sqrt(189)/sqrt(3) - sqrt(63)))**2. 0 Simplify -1 + sqrt(252) - (0 + sqrt(7))*2. -1 + 4*sqrt(7) Simplify (5 + sqrt(81)/sqrt(3) + -2)**2 + -5. 31 + 18*sqrt(3) Simplify -4 + (sqrt(45)/sqrt(36) + 2)**2. 5/4 + 2*sqrt(5) Simplify ((sqrt(42)/sqrt(2))/sqrt(7))**2 + -3 + (sqrt(3) + 1 - sqrt(3)). 1 Simplify -2*((-1 + sqrt(38)/sqrt(2))**2 + 6*sqrt(57)/sqrt(3)). -40 - 8*sqrt(19) Simplify (-4 + -3*-2*(-1 + sqrt(17)))**2. -120*sqrt(17) + 712 Simplify -2*(sqrt(432) - (sqrt(432) + 1)) - (4 + -3*sqrt(432)). -2 + 36*sqrt(3) Simplify 6*(0 + (-6*(-1 + sqrt(108)))**2). -2592*sqrt(3) + 23544 Simplify ((sqrt(33)*2)/sqrt(3))**2 + (sqrt(198)/sqrt(6))/sqrt(3). sqrt(11) + 44 Simplify (5*1*sqrt(156) - sqrt(156))/(sqrt(972)*-1). -4*sqrt(13)/9 Simplify (sqrt(320)*2*-4 + 1*sqrt(320)*-1)**2 + -4. 25916 Simplify ((sqrt(7) - (sqrt(567) + 1*sqrt(567))) + -2*(sqrt(7) - (sqrt(112))**2) + 5)*3. -57*sqrt(7) + 687 Simplify ((sqrt(11) + sqrt(44)/sqrt(4))*-5)**2*-1. -1100 Simplify sqrt(20) + 2 + sqrt(5)*1 + sqrt(5) + -3. -1 + 4*sqrt(5) Simplify -6*(sqrt(7) + sqrt(448) + 0). -54*sqrt(7) Simplify (-1*(sqrt(112)/sqrt(8) - sqrt(14)) + sqrt(14))/sqrt(7)*-4. -4*sqrt(2) Simplify ((sqrt(612) + -2 + sqrt(612) - sqrt(612)) + -4 - -1*sqrt(612)*-1)**2. 36 Simplify (sqrt(2) - (sqrt(8)/sqrt(4) - sqrt(2))) + 4 + sqrt(108)/sqrt(6). 4 + 4*sqrt(2) Simplify ((sqrt(112) + -2)*6)**2. -576*sqrt(7) + 4176 Simplify sqrt(16)/((sqrt(24)/sqrt(3) - sqrt(8)) + sqrt(8))*-2. -2*sqrt(2) Simplify (5*(sqrt(72) - (4 + 0 + sqrt(72)))*-4)**2. 6400 Simplify 0 + (sqrt(99)*-3)/sqrt(9). -3*sqrt(11) Simplify ((2*sqrt(80) + -1 - sqrt(80))**2 - sqrt(80)) + 4. -12*sqrt(5) + 85 Simplify ((sqrt(325) + (-5*1*sqrt(325) + sqrt(325) - sqrt(325)) + sqrt(325))*4)**2. 46800 Simplify (sqrt(153) + sqrt(153) + 3*-1*sqrt(153) - sqrt(153))/(sqrt(576) - sqrt(9)). -2*sqrt(17)/7 Simplify 1 + sqrt(833) + sqrt(153)/(-2*sqrt(9)). 1 + 13*sqrt(17)/2 Simplify sqrt(30)/sqrt(24) + 1*(sqrt(5) + 0)**2 - sqrt(80)*-5*5. 5 + 201*sqrt(5)/2 Simplify -5*(4*sqrt(12)/(-1*sqrt(4)))**2. -240 Simplify (0 + sqrt(108) - sqrt(108))*5 + sqrt(108) - sqrt(27)/(sqrt(1296) - (sqrt(1296) + sqrt(1296)*-2 + sqrt(1296) - sqrt(1296))). 143*sqrt(3)/24 Simplify (4*sqrt(475))**2 + 4. 7604 Simplify ((sqrt(468))**2 + -1 - (-4 + sqrt(13) + -2)) + 3. -sqrt(13) + 476 Simplify 4*sqrt(19)*-2 + sqrt(19)*-2*-1. -6*sqrt(19) Simplify (4*sqrt(200) - (sqrt(2) + -1 + -5))**2. 468*sqrt(2) + 3078 Simplify (1 + sqrt(396) + sqrt(396))**2*1*-3. -4755 - 72*sqrt(11) Simplify (sqrt(896)*-2)/(sqrt(800) + (sqrt(800) - (sqrt(800) + sqrt(800)*-2)) + sqrt(800)). -sqrt(7)/5 Simplify (2*-2*sqrt(153) - sqrt(153))**2. 3825 Simplify (sqrt(33) + sqrt(33) + -2*sqrt(1617))/((sqrt(6) + sqrt(54) + sqrt(6))/sqrt(2)). -12*sqrt(11)/5 Simplify 1 + sqrt(684) - (2 + sqrt(19) + -1) - (sqrt(57)/sqrt(3))**2*-1*-4. -76 + 5*sqrt(19) Simplify 5 + (sqrt(17) - (2 + 1 + sqrt(17)) - sqrt(17) - (sqrt(170)/(sqrt(60)/sqrt(6)) - sqrt(17))). -sqrt(17) + 2 Simplify (-3 + (2*sqrt(800))**2)*-1. -3197 Simplify ((3 + sqrt(180))**2 - sqrt(180))*-6. -1134 - 180*sqrt(5) Simplify (1 + (sqrt(192) + -1)*5)**2. -320*sqrt(3) + 4816 Simplify ((sqrt(7) - (sqrt(112) + 5))**2 + 4)*4. 120*sqrt(7) + 368 Simplify (sqrt(132)*-2)/(sqrt(3) + (sqrt(18)/sqrt(3) - sqrt(6))/sqrt(2)) + 0. -4*sqrt(11) Simplify (5 + 2 + sqrt(38)/sqrt(2))*2. 2*sqrt(19) + 14 Simplify (sqrt(70)*-1*-4 + sqrt(70))/(-1*sqrt(1210)). -5*sqrt(7)/11 Simplify (sqrt(19)*1 + 2)**2 + (sqrt(76))**2*-6. -433 + 4*sqrt(19) Simplify sqrt(7) + (sqrt(35)*-1)/sqrt(5) + -2 + sqrt(28). -2 + 2*sqrt(7) Simplify (-5 + (sqrt(320) - (-2*sqrt(320) - sqrt(320))))**2 + (-4*(sqrt(320) - (sqrt(320)*-2 + sqrt(320))))**2. -320*sqrt(5) + 25625 Simplify -6*(-1 + (sqrt(325) - sqrt(13))**2 + (-2 + sqrt(13))*-5). -1302 + 30*sqrt(13) Simplify (sqrt(85) - 1*sqrt(85)*1)/sqrt(180). 0 Simplify (sqrt(72)/sqrt(18) + sqrt(36))/(sqrt(48)/(sqrt(8)/sqrt(2))). 4*sqrt(3)/3 Simplify -4*(3*2*sqrt(539))**2 + 1. -77615 Simplify ((sqrt(99) + -2)*-4 + 1)**2. -216*sqrt(11) + 1665 Simplify -4*(sqrt(7) + sqrt(28)) + (sqrt(112))**2*-2. -224 - 12*sqrt(7) Simplify (1 + sqrt(252)*-2*6)**2. -144*sqrt(7) + 36289 Simplify 1 + sqrt(363) + (-3 + sqrt(192))**2. -37*sqrt(3) + 202 Simplify (sqrt(44)*-3 - sqrt(11))*-3. 21*sqrt(11) Simplify sqrt(14)/(5*sqrt(50) + sq
{ "pile_set_name": "DM Mathematics" }
the common denominator of -23/24 and -137/12150? 48600 What is the smallest common multiple of 99 and 27951? 83853 What is the least common multiple of 342067 and 186582? 2052402 What is the least common multiple of 27048 and 294? 27048 What is the lowest common multiple of 63 and 1494? 10458 What is the common denominator of 149/29262 and -39/24385? 146310 What is the lowest common multiple of 105 and 1740? 12180 Find the common denominator of -125/17952 and -19/15180. 2064480 What is the common denominator of 31/276960 and -68/165? 3046560 What is the common denominator of 145/156 and -15/69352? 2704728 Calculate the lowest common multiple of 4 and 13457. 53828 Calculate the common denominator of -5/1073 and -19/19129. 554741 Calculate the least common multiple of 3324 and 8864. 26592 Find the common denominator of -54/119 and -125/841568. 841568 Calculate the least common multiple of 8 and 716484. 1432968 What is the lowest common multiple of 27 and 228114? 684342 Calculate the common denominator of 46/171 and 93/608. 5472 What is the common denominator of -38/7705 and 50/69? 23115 Calculate the least common multiple of 15 and 67284. 336420 What is the common denominator of 59/966 and 5/221214? 221214 Calculate the smallest common multiple of 18685 and 5180. 523180 Calculate the smallest common multiple of 32 and 5296. 10592 Calculate the smallest common multiple of 540 and 42. 3780 Calculate the least common multiple of 1811664 and 12. 1811664 Calculate the smallest common multiple of 6 and 3671470. 11014410 What is the common denominator of 41/5760 and -16/185? 213120 Calculate the smallest common multiple of 106272 and 15744. 425088 Calculate the smallest common multiple of 533370 and 40. 2133480 Calculate the common denominator of -83/3648 and -15/209. 40128 What is the common denominator of -58/67165 and -97/14? 134330 Find the common denominator of 43/3384 and -79/47470. 1708920 What is the common denominator of 77/154620 and 33/85900? 773100 Calculate the common denominator of 93/5000 and -83/1300. 65000 What is the common denominator of -22/144027 and 53/390? 1440270 Calculate the smallest common multiple of 1038 and 12802. 38406 Calculate the lowest common multiple of 14756 and 60. 221340 Calculate the least common multiple of 668240 and 200472. 2004720 Calculate the common denominator of 3/65 and 67/109252. 546260 Calculate the smallest common multiple of 24428 and 1773. 219852 What is the smallest common multiple of 20 and 13244? 66220 What is the common denominator of -167/420 and 89/494214? 4942140 What is the common denominator of -53/4680 and 181/260910? 1043640 Find the common denominator of 109/80 and -73/8488. 84880 What is the common denominator of -77/175024 and -89/8? 175024 What is the least common multiple of 6 and 100299? 200598 Calculate the least common multiple of 2868 and 7. 20076 What is the common denominator of -79/100422 and -31/8767? 1104642 What is the smallest common multiple of 32346 and 162? 97038 What is the lowest common multiple of 7000 and 2660? 133000 Calculate the common denominator of 29/145629 and 39/7355. 728145 Calculate the lowest common multiple of 48 and 27096. 54192 What is the common denominator of 39/282472 and 49/51? 847416 Calculate the lowest common multiple of 11530 and 11530. 11530 What is the common denominator of 63/892 and -59/4683? 18732 What is the smallest common multiple of 1876 and 8? 3752 Calculate the common denominator of -19/8 and -17/7740. 15480 Calculate the common denominator of -19/21868 and -49/22. 21868 What is the common denominator of 133/36 and 167/184500? 184500 What is the common denominator of 23/636 and 7/318? 636 Find the common denominator of 121/1674 and -95/95604. 860436 What is the common denominator of -59/962400 and -187/2160? 8661600 What is the common denominator of 47/26768 and 12/122129? 1954064 Calculate the common denominator of 9/62410 and -31/436870. 436870 What is the smallest common multiple of 440303 and 9? 3962727 Find the common denominator of 151/276 and 149/22218. 44436 Calculate the least common multiple of 27 and 13257. 13257 Calculate the smallest common multiple of 44 and 77076. 847836 Find the common denominator of 22/27 and 46/89301. 803709 Calculate the common denominator of 17/511 and 49/10074. 70518 Calculate the lowest common multiple of 125892 and 440622. 881244 Calculate the lowest common multiple of 3840 and 17280. 34560 Calculate the least common multiple of 35230 and 6. 105690 What is the smallest common multiple of 276 and 80155? 961860 What is the common denominator of -1/3696 and 19/11088? 11088 What is the common denominator of 28/905 and -71/3620? 3620 Calculate the smallest common multiple of 672 and 17304. 69216 What is the common denominator of -61/1855295 and 43/10166? 3710590 What is the least common multiple of 60080 and 18? 540720 What is the smallest common multiple of 309 and 2391? 246273 What is the least common multiple of 18 and 15912? 15912 What is the smallest common multiple of 6468 and 640332? 640332 Find the common denominator of -141/70 and -53/184828. 924140 What is the smallest common multiple of 14 and 463304? 3243128 Calculate the lowest common multiple of 4 and 21783. 87132 What is the lowest common multiple of 324000 and 560? 2268000 What is the common denominator of 107/1562 and -67/1136? 12496 Calculate the least common multiple of 612300 and 5200. 2449200 Calculate the lowest common multiple of 4120 and 5150. 20600 What is the smallest common multiple of 75 and 137223? 3430575 Calculate the least common multiple of 12960 and 15120. 90720 Calculate the common denominator of -61/13425 and 51/1790. 26850 Calculate the common denominator of 76/206925 and 67/413850. 413850 Find the common denominator of 91/270 and 163/2070. 6210 What is the smallest common multiple of 300 and 528? 13200 Calculate the common denominator of 11/19656 and -37/280. 98280 Calculate the least common multiple of 99 and 265155. 795465 What is the smallest common multiple of 953 and 1389? 1323717 Calculate the least common multiple of 56 and 6720. 6720 What is the common denominator of 28/5 and 67/448120? 448120 Find the common denominator of -35/28372 and 79/12. 85116 What is the lowest common multiple of 618 and 8755? 52530 Calculate the common denominator of 82/17895 and 181/1200. 1431600 Calculate the least common multiple of 80 and 81620. 326480 Find the common denominator of 10/27 and 73/25542. 25542 Find the common denominator of 7/15 and 133/28086. 140430 What is the lowest common multiple of 22692 and 2196? 68076 Calculate the lowest common multiple of 104160 and 19840. 416640 Find the common denominator of 49/53526 and -61/8110. 267630 What is the smallest common multiple of 96 and 32448? 32448 What is the common denominator of -67/1981130 and -13/3? 5943390 What is the smallest common multiple of 12 and 18555? 74220 Find the common denominator of 17/18000 and -95/32. 36000 Calculate the least common multiple of 630 and 225. 3150 What is the smallest common multiple of 3 and 123030? 123030 Find the common denominator of -127/15680 and 143/7840. 15680 Calculate the common denominator of 95/8168 and -107/100058. 400232 What is the smallest common multiple of 16 and 2472? 4944 Find the common denominator of -25/7616 and 48/133. 144704 Calculate the smallest common multiple of 13938 and 78. 181194 What is the common denominator of -32/14247 and 5/3166? 28494 Find the common denominator of -193/1021350 and 111/247600. 8170800 Calculate the lowest common multiple of 57 and 2174436. 2174436 Find the common denominator of -107/56588 and 113/202100. 1414700 Calculate the least common multiple of 5 and 17130. 17130 What is the least common multiple of 430 and 4? 860 What is the smallest common multiple of 23 and 434? 9982 Calculate the common denominator of -37/230 and -97/1840. 1840 What is the common denominator of -49/34 and -77/27058? 459986 What is the smallest common multiple of 39972 and 24? 79944 Calculate the least common multiple of 25066 and 10. 125330 Calculate the least common multiple of 2244 and 1964622. 3929244 What is the least common multiple of 14955 and 30? 29910 Find the common denominator of -9/
{ "pile_set_name": "DM Mathematics" }
e) 136 e What is the second biggest value in 36, -2/21, 10, 1, -0.2? 10 Which is the third smallest value? (a) 0.1 (b) -10 (c) 15/7 (d) 1 (e) -5 a Which is the fifth biggest value? (a) -2 (b) -13 (c) -0.1 (d) 67 (e) -1/2 b What is the second biggest value in 0.04, 0.2, 22, -78, 3/5? 3/5 What is the fourth smallest value in -5, -25/4, 825/7, -1? 825/7 Which is the fifth smallest value? (a) 0.3 (b) 0.2 (c) -0.1 (d) -3 (e) -4744 (f) -1/8 b What is the second biggest value in -14561, -3, 3, -0.4? -0.4 Which is the third smallest value? (a) 3 (b) 0.0624 (c) -0.29 a Which is the fourth smallest value? (a) 2/3 (b) -5 (c) 5 (d) -97/3 (e) -28 (f) -0.1 f What is the fourth biggest value in -1/5, -2/9, 1, -0.1, 18? -1/5 Which is the second smallest value? (a) 13/27 (b) 85.5 (c) -4/5 a What is the biggest value in 2/7, 14533.9, 4, 0.4, -1, -2/5? 14533.9 What is the second smallest value in -127, -803, 3/7? -127 What is the fourth smallest value in -0.2, -1416/5, -1, -3? -0.2 Which is the third biggest value? (a) 1273 (b) -4 (c) 17 (d) -1 (e) 2 (f) 1/8 e Which is the biggest value? (a) -7 (b) 17/3 (c) -0.03 (d) -2/7 b What is the third smallest value in 0.01, 2, -3.359? 2 Which is the smallest value? (a) -6 (b) -2/9 (c) 28/13 a Which is the second smallest value? (a) 3/8 (b) 2/7 (c) 1 (d) -9 (e) 0.034 (f) 4 e What is the fourth smallest value in -87, -29, 1, -3/5? 1 What is the second biggest value in -122, 1/3, -1, -4.7, 1? 1/3 Which is the second biggest value? (a) -0.54 (b) 0.3 (c) 0.5 b What is the smallest value in 2, 4, -5373.93? -5373.93 What is the third biggest value in 0.2, -1, -4, 2, -1/115? -1/115 What is the fifth biggest value in -0.2, 2/11, 10, -3/7, -1? -1 What is the second smallest value in 38, 0.279, 2? 2 What is the third smallest value in -0.15, -3, -0.1? -0.1 What is the second smallest value in -3, -52, 11, -73.8, 0.4? -52 Which is the third biggest value? (a) -0.0562 (b) -1 (c) 1 (d) -3/19 d What is the second smallest value in -4, 24/2863, -5? -4 What is the third smallest value in -10/3, -5, -2/17, -0.15, -1/22? -0.15 What is the fourth biggest value in 2/3, 0.32, 12/181, -8/5? -8/5 Which is the second biggest value? (a) -1/3 (b) -0.2 (c) -51119 a Which is the fifth biggest value? (a) 2 (b) 6 (c) 1/4 (d) -2/3 (e) -0.4 (f) -22 d What is the fourth smallest value in 0.2, 116, 2, -14, -1, 3? 2 Which is the third smallest value? (a) 0.5 (b) 9 (c) 11/3 (d) -6 c Which is the second biggest value? (a) -823 (b) 5 (c) 0 c What is the second biggest value in 2124, 37, -3? 37 What is the fifth smallest value in 4, -9/8, 0.5, -3/7, -0.4? 4 What is the biggest value in 56/19, -2.7, -0.17, 0.1, -2/9? 56/19 Which is the second smallest value? (a) 1.373 (b) 0.277 (c) -0.2 b What is the second biggest value in 4/23, -0.05, -12, -1, -2, 0.4? 4/23 What is the smallest value in 0.179, -27.01, -0.2, -0.5? -27.01 Which is the fourth smallest value? (a) 20 (b) 17 (c) -3/8 (d) 0 a What is the biggest value in 0.1551, 0.08, -4, 2? 2 Which is the fourth smallest value? (a) 45 (b) 3 (c) -0.4 (d) -4/3 (e) 18.1 e Which is the smallest value? (a) 1/4 (b) 7 (c) 0 (d) -5 (e) -1 (f) 195 d Which is the third smallest value? (a) 1 (b) -5405 (c) -4 a What is the third smallest value in -0.4, -6, 2/3? 2/3 What is the third biggest value in 0.5, -2/9, 344418? -2/9 Which is the third biggest value? (a) 72 (b) 28 (c) -4 (d) -0.2 (e) 6 e Which is the second smallest value? (a) 0.119 (b) -4/3 (c) 10 a What is the third smallest value in 2/9, 0.4, -5/4, -375? 2/9 What is the third biggest value in -3/2, 64282, -2, -0.1? -3/2 Which is the second smallest value? (a) -2/7 (b) -10 (c) 0.3 (d) 34691 a What is the third smallest value in -1, -14, -4, -2472? -4 Which is the third smallest value? (a) -4.37 (b) 142 (c) 0 (d) -2/11 c Which is the third smallest value? (a) 4 (b) 2/11 (c) -2 (d) 11.7 (e) -7 b What is the smallest value in -17, 1/11, -1, 4, 0? -17 Which is the smallest value? (a) -10686 (b) -0.05 (c) 0.1 a Which is the smallest value? (a) -0.091 (b) 2 (c) -7/18 (d) 3 c What is the second smallest value in 86, 11, 156? 86 What is the fourth smallest value in -4, 0.8, -2.6, 5.1? 5.1 What is the second biggest value in -1/7, -1526, 1? -1/7 What is the second smallest value in -3/11, -0.2, -0.3, 4, 3/205? -3/11 Which is the biggest value? (a) -2 (b) 4/7 (c) -2/2255 (d) 0.11 b Which is the third smallest value? (a) 5 (b) -0.4 (c) -117 (d) 2/7 (e) -4/11 e What is the second smallest value in -0.3, -137, 5/8? -0.3 Which is the second biggest value? (a) 2/7 (b) -3 (c) 0.13 (d) -75 (e) 3 a What is the smallest value in -18.3, -1/3, -0.091? -18.3 What is the fifth biggest value in 188, 3, -0.14, -0.5, -4? -4 What is the smallest value in -2/7, -17, 337? -17 Which is the third smallest value? (a) -1/11 (b) -0.02 (c) -0.1 (d) -3/143 (e) -0.242 a Which is the smallest value? (a) -52848 (b) -1/8 (c) 3 (d) -2/3 a What is the fourth biggest value in 1/2, -3/7, -11, 294, 3, 24? 1/2 What is the second biggest value in 5, 2, -964.5? 2 Which is the third smallest value? (a) 3/5 (b) 1/3 (c) -9 (d) -32 (e) -3 e Which is the second smallest value? (a) -3/137 (b) -4 (c) 4602 a What is the third smallest value in 1/2, -0.1, 2, 0.103, -1/3? 0.103 Which is the second biggest value? (a) -2/3 (b) -65 (c) 230 (d) -3 a Which is the fourth biggest value? (a) -16 (b) 0.3 (c) 5 (d) -15 (e) -19 a What is the sixth biggest value in 0.4, 1/2, -1/137, 40, 1/4, 0? -1/137 Which is the fourth smallest value? (a) 3/7 (b) -0.2 (c) 2/19 (d) 96 d Which is the fourth biggest value? (a) 0.1 (b) 3 (c) -34 (d) -1/5 c Which is the sixth biggest value? (a) 1/7 (b) -76 (c) 0.4 (d) 32 (e) -3 (f) 1/6 b What is the fifth smallest value in -1/2, 2, 42, -14, 20? 42 Which is the smallest value? (a) 2/5 (b) -40992 (c) -1 b What is the fourth biggest value in 0, 47, 40, 4? 0 Which is the smallest value? (a) -36 (b) 11 (c) -18 a Which is the second smallest value? (a) 0 (b) 12/35 (c) 6.3 b What is the sixth smallest value in 25, 2/7, 2/3, -1/9, 4, -9.7? 25 What is the third biggest value in 305, 306, -1, 2? 2 Which is the second smallest value? (a) 0.4 (b) 19 (c) -4 (d) -1 d What is the second biggest value in -11/4, -6, -12/59? -11/4 Which is the third smallest value? (a) -52407 (b) 4 (c) 0 (d) -4 c What is the fourth biggest value in -8/11, 2, -6, -12/11? -6 What is the smallest value in 5, 0, 2, -9.44, -2? -9.44 Which is the smallest value? (a) 133 (b) -0.4 (c) -2/3 (d) -403 d Which is the biggest value? (a) 144 (b) -0.5 (c) 16 (d) 1/5 a Which is the biggest value? (a) -5 (b) -2/9 (c) -0.2 (d) 0.4 (e) -2.5 (f) 3 f Which is the fifth biggest value? (a) 279 (b) 36 (c) 3/8 (d) -0.2 (e) 0.3 d What is the fifth biggest value in -1, -0.3, 3, -2/17, -0.4, -0.277? -0.4 Which is the fifth biggest value? (a) -1/4 (b) 81.9 (c) -0.3 (d) -5 (e) -0.5 d Which is the smallest value? (a) 0 (b) -1 (c) -169927 (d) -4 c Which is the smallest value? (a) -1/12 (b) 2.3 (c) 5.75 a Which is the fourth biggest value? (a) 0.2 (b) 5 (c) -0.2 (d) -2/7 (e) -3 (f) -0.0662 c What is the second smallest value in 4, 2/3, 0.5, 139.92, 0.4? 0.5 What is the smallest value in 23/135, -3, -0.1? -3 What is the fourth smallest value in 0.1, 165/83, -5, -0.4, -2/11? 0.1 Which is the biggest value? (a) 49 (b) 986/3 (c) 54 b Which is the fourth smallest value? (a) 0.1 (b) 1 (c) -25/4 (d) -15 (e) -5 a What is the fourth smallest value in -5, -0.5, 981, -3, -6? -0.5 What is the sixth biggest value in -0.2, 2.8, -0.16, 0, 2, 0.09? -0.2 Which is the smallest value? (a) -2/9 (b) -13 (c) 7/2 (d) 1 (e) 0.4 (f) 5 b What is the third biggest value in -4/3, -0.05, -2, 0.07, -1, -0.02? -0.05 What is the smallest value in -36/409, 1/3, -3, 1? -3 What is the third smallest value in -5, 0, -2/11, 0.03, 2/11, 9? 0 Which is the fifth smallest value? (a) 0.7 (b) -0.03 (c) 3 (d) -1/4 (e) 3005 e What is the third smallest value in 641, -5, -0.1, 1, 3? 1 Which is the third smallest value? (a) -394/5 (b) -2/11 (c) -52 b What is the fifth sm
{ "pile_set_name": "DM Mathematics" }
1 l and 1 w? 1/10 Two letters picked without replacement from zjddnjzzjzw. What is prob of picking 2 d? 1/55 Three letters picked without replacement from {x: 1, i: 3}. What is prob of picking 3 i? 1/4 What is prob of picking 1 k and 1 d when two letters picked without replacement from kmdkese? 2/21 Two letters picked without replacement from {h: 2, p: 5, t: 2, i: 1, g: 2, c: 1}. Give prob of picking 1 g and 1 h. 2/39 Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {y: 4, t: 3, g: 3, d: 1, v: 2, l: 3}. 1/10 What is prob of picking 1 l, 1 s, and 1 r when three letters picked without replacement from sswrwlrlswvwwsw? 16/455 Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {w: 1, v: 6, g: 2, h: 3, e: 2}. 9/182 Two letters picked without replacement from ffnfnfff. What is prob of picking 2 f? 15/28 Four letters picked without replacement from apkkukukhhtaktpkh. What is prob of picking 1 a, 1 h, 1 p, and 1 u? 6/595 Four letters picked without replacement from brciijb. Give prob of picking 1 c, 1 b, 1 r, and 1 i. 4/35 Calculate prob of picking 1 b, 1 d, and 1 f when three letters picked without replacement from {f: 1, w: 2, d: 3, o: 3, k: 2, b: 1}. 3/220 Calculate prob of picking 1 y, 1 u, and 1 x when three letters picked without replacement from {y: 5, p: 1, b: 6, u: 3, x: 5}. 5/76 Two letters picked without replacement from eebbbeeeeebbbeeb. Give prob of picking 2 e. 3/10 Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {e: 5, y: 7, q: 4}. 7/30 Three letters picked without replacement from lllllxlllxlll. What is prob of picking 3 l? 15/26 What is prob of picking 1 u and 1 l when two letters picked without replacement from tluufsfutkkulu? 10/91 Two letters picked without replacement from {x: 1, d: 5, m: 2, s: 2, h: 5, o: 2}. What is prob of picking 2 m? 1/136 Calculate prob of picking 1 o and 1 p when two letters picked without replacement from dpoxxd. 1/15 Two letters picked without replacement from cqcq. What is prob of picking 1 c and 1 q? 2/3 Three letters picked without replacement from mmvjgcm. Give prob of picking 1 v and 2 m. 3/35 Calculate prob of picking 2 t when two letters picked without replacement from irtitttrit. 2/9 Calculate prob of picking 3 u when three letters picked without replacement from {h: 3, u: 9}. 21/55 Four letters picked without replacement from idiiicgyyg. Give prob of picking 1 i, 1 y, 1 c, and 1 d. 4/105 Calculate prob of picking 2 w when two letters picked without replacement from dwlldddldwldl. 1/78 Calculate prob of picking 1 m, 1 w, and 2 r when four letters picked without replacement from rrrprookkpowrrmrko. 7/1020 What is prob of picking 1 o and 1 p when two letters picked without replacement from {p: 6, o: 2, f: 2, l: 1, x: 3}? 12/91 Three letters picked without replacement from ixccxxgcxc. Give prob of picking 1 c, 1 i, and 1 x. 2/15 What is prob of picking 1 d and 1 h when two letters picked without replacement from {h: 2, f: 5, d: 7}? 2/13 Calculate prob of picking 3 f when three letters picked without replacement from yefowffeyyuff. 5/143 Two letters picked without replacement from usvsvuvusuv. What is prob of picking 1 s and 1 u? 12/55 Three letters picked without replacement from vuiuiv. Give prob of picking 1 u and 2 v. 1/10 What is prob of picking 3 k and 1 u when four letters picked without replacement from kuzukukuzc? 2/105 Two letters picked without replacement from crhtrhuhht. Give prob of picking 1 r and 1 t. 4/45 Calculate prob of picking 2 c when two letters picked without replacement from mmccmmmcmcm. 6/55 Three letters picked without replacement from fewffewfffffffe. Give prob of picking 1 f and 2 e. 6/91 Two letters picked without replacement from mimm. Give prob of picking 2 m. 1/2 Two letters picked without replacement from {d: 8, q: 5}. What is prob of picking 1 d and 1 q? 20/39 What is prob of picking 1 t, 1 j, and 1 f when three letters picked without replacement from {j: 2, t: 1, f: 1}? 1/2 Two letters picked without replacement from {y: 3, m: 1, a: 3}. Give prob of picking 1 m and 1 a. 1/7 Two letters picked without replacement from {a: 2, t: 6, g: 4, u: 3}. What is prob of picking 2 a? 1/105 Calculate prob of picking 4 u when four letters picked without replacement from {s: 13, u: 6}. 5/1292 Calculate prob of picking 3 x and 1 z when four letters picked without replacement from zxxxxxxxnxzxxnnxxxz. 143/646 What is prob of picking 2 c when two letters picked without replacement from {e: 2, c: 6}? 15/28 Two letters picked without replacement from qssssqss. Give prob of picking 1 s and 1 q. 3/7 Calculate prob of picking 1 o and 2 h when three letters picked without replacement from {h: 3, o: 1}. 3/4 Two letters picked without replacement from pjykunk. Give prob of picking 1 j and 1 y. 1/21 What is prob of picking 1 w and 1 a when two letters picked without replacement from {t: 1, e: 1, w: 2, a: 3, v: 3, h: 2}? 1/11 Three letters picked without replacement from zchcczcczhzhczhzhzcc. What is prob of picking 3 z? 7/228 Three letters picked without replacement from egggeggfefpeg. What is prob of picking 3 g? 10/143 What is prob of picking 3 d and 1 p when four letters picked without replacement from wdwwpwwwdppdp? 4/715 What is prob of picking 1 w and 2 v when three letters picked without replacement from {w: 4, v: 3}? 12/35 Two letters picked without replacement from kkkkhhkk. What is prob of picking 1 k and 1 h? 3/7 Three letters picked without replacement from {i: 1, s: 4, t: 1, a: 2, d: 6, j: 1}. What is prob of picking 2 s and 1 j? 6/455 What is prob of picking 2 o when two letters picked without replacement from {v: 1, n: 2, w: 3, y: 6, o: 2}? 1/91 Calculate prob of picking 1 j and 2 w when three letters picked without replacement from ywjywrwzrw. 1/20 Calculate prob of picking 2 q when two letters picked without replacement from {j: 1, q: 4, o: 2}. 2/7 Three letters picked without replacement from xhxhxxxhxxxxhxhxxxx. Give prob of picking 1 h and 2 x. 455/969 What is prob of picking 1 x, 1 e, and 1 p when three letters picked without replacement from eoxxffp? 2/35 Calculate prob of picking 3 v when three letters picked without replacement from vvvvv. 1 Two letters picked without replacement from {b: 2, g: 5, c: 3, d: 3, a: 3}. Give prob of picking 1 g and 1 c. 1/8 What is prob of picking 2 m when two letters picked without replacement from mrmciimmmmmmc? 14/39 Two letters picked without replacement from {y: 1, p: 1, z: 1, h: 1, a: 2, i: 2}. What is prob of picking 2 a? 1/28 Calculate prob of picking 1 g and 1 f when two letters picked without replacement from ggff. 2/3 Two letters picked without replacement from {r: 1, z: 5, v: 2, a: 2, d: 8}. Give prob of picking 1 z and 1 a. 10/153 What is prob of picking 3 m and 1 s when four letters picked without replacement from {m: 13, s: 6}? 143/323 Three letters picked without replacement from xppggx. What is prob of picking 2 g and 1 x? 1/10 Two letters picked without replacement from {i: 4, o: 3, d: 1}. Give prob of picking 1 d and 1 i. 1/7 Calculate prob of picking 2 x and 2 l when four letters picked without replacement from xxlxxlxxxxx. 6/55 Three letters picked without replacement from mmxxmxxxxxmxmmxxxxm. What is prob of picking 1 x and 2 m? 84/323 Calculate prob of picking 2 o and 2 w when four letters picked without replacement from {y: 4, w: 3, o: 1}. 0 Two letters picked without replacement from ogoyogygygogg. Give prob of picking 1 g and 1 o. 4/13 Two letters picked without replacement from {e: 2, m: 1}. What is prob of picking 2 e? 1/3 What is prob of picking 1 u, 1 n, and 1 q when three letters picked without replacement from ncmuumuununccucq? 9/280 Calculate prob of picking 2 w when two letters picked without replacement from fkjalww. 1/21 Three letters picked without replacement from jeygt. Give prob of picking 1 y, 1 j, and 1 g. 1/10 Calculate prob of picking 2 v when two letters picked without replacement from {t: 8, a: 2, v: 4}. 6/91 What is prob of picking 1 w, 1 a, and 1 g when three letters picked without replacement from {w: 1, g: 3, y: 4, f: 4, c: 2, a: 3}? 9/680 What is prob of picking 1 p and 1
{ "pile_set_name": "DM Mathematics" }
- 6238/892) and -107/40. 8920 Suppose -2*a = 2*o - 84, 4*a + o - 176 = 5*o. Let i(m) = -m + 13. What is the lowest common multiple of i(9) and a? 172 Suppose -111*j + 91*j = -8040. Calculate the least common multiple of 24 and j. 1608 Calculate the common denominator of (505/(-90))/(31/6*-4) and 41/6. 372 Let v be (386/520)/((-8)/(-20)). Let a = v + -3/13. Let y = 76/9 - 127/9. Calculate the common denominator of y and a. 24 What is the common denominator of (-6)/16*295*(-7)/(-105) and -7/4? 8 Let x(r) = -9*r - 2. Let t(z) = -z + 9. Let v be 1/((3/(-1))/(-30)). Let b be t(v). What is the smallest common multiple of x(b) and 1? 7 Suppose -4*z + 4*o - 172 = 0, z - 5*o = -0*o - 35. Calculate the common denominator of -2 - (1 - (-186)/z) and -7/24. 120 Let a = -23193/10 - -2323. Calculate the common denominator of -43/40 and a. 40 Let k = 79/74 + -1631/3330. Calculate the common denominator of 41/99 and k. 495 Suppose 8*z - 25 = 71. What is the smallest common multiple of z and 1? 12 Let k be 1/2 - 1094/(-4). What is the common denominator of k/77 - (-4)/(-14) and (-675)/525*(1 - 0)? 77 Let h = -186 - -330. Calculate the lowest common multiple of h and 528. 1584 Let y = 2451 - 122563/50. Find the common denominator of y and 73/660. 3300 Let a = 39077006855/1092 + -35784802. Let m = -7/156 - a. Let d = 12759/524 + -13/131. What is the common denominator of m and d? 28 Suppose 2*t + 4*j - 856 = 0, -1324 = -3*t + 5*j - j. What is the lowest common multiple of t and 22? 4796 Let h = -103416 - -11168797/108. What is the common denominator of h and 3/14? 756 Suppose 97*c = 83*c + 140. Let v = 13 - 9. Calculate the smallest common multiple of c and v. 20 Let c(x) = -3*x - 4. Let s be c(-3). Suppose -3*y = -0*y - 21. Suppose -3*f - y - s = -3*q, -6 = -q - f. Calculate the lowest common multiple of 3 and q. 15 Let v = -593991/3586 + -6897/163. Let u = -2248/11 - v. What is the common denominator of (-12)/34 - (-1134678)/210188 and u? 22 Let l = 1039680373/28746 - -82/14373. Let i = l + -30436. Let r = 5745 - i. Calculate the common denominator of 49/6 and r. 6 Let t = 748 + -23191/31. Calculate the common denominator of 103/6 and t. 186 Let t be (4946/24 - 0)*(-15)/(-233). Let a = t - 4/233. What is the common denominator of a and 58/3? 12 Suppose -3*p - 2*b + 91 = 0, -3*p + 2*b = -4 - 67. Calculate the lowest common multiple of 57 and p. 513 Suppose 0 = 4*s - 7 - 9. Suppose 9*v = s*v - 130. Let p = -20443/1446 + -7/241. Find the common denominator of p and v. 6 Let g = 699 - 2833/4. What is the common denominator of g and 356/(-8)*((-204)/(-202) - 1)? 404 Suppose 2*l + 6*l = 600. Calculate the common denominator of 3/4 and 5/(l/(-21))*45/(-2). 4 Let g = 63/265 - -8387/57240. What is the common denominator of 69/8 and g? 216 Find the common denominator of 111/80 and 428/30*(-4 - (-52)/16). 80 Let k = -2071 + 101499/49. Calculate the common denominator of k and 17/42. 294 Let y = 562 - 553. What is the least common multiple of 21 and y? 63 Calculate the common denominator of 17/(-20)*-7 + (-69)/345 and (98/10)/((-60)/(-25)). 12 Suppose -2*n = -2*j + 28, 3*j + 9*n - 26 = 4*n. What is the least common multiple of j and 94? 564 Suppose p + x - 43 = 0, -2*p = p + 2*x - 126. Calculate the smallest common multiple of p and 20. 40 Find the common denominator of -71/51 and (7/105)/((-284)/260 + 1). 306 Let j = -14 - -16. Let s(m) be the first derivative of m**2/2 + 22*m + 3. What is the least common multiple of s(-11) and j? 22 Let j = -1367/10 - -43509/320. Calculate the common denominator of 17/10 and j. 320 Suppose 5*x + 15 = 5*k, x = -0*k - k + 13. Find the common denominator of -20/9 and (k/50)/((-32)/240). 45 Let r = -4 + 18. Let f = 33 - -3. Calculate the lowest common multiple of r and f. 252 Let f(a) = -2*a**2 - 15*a - 6. Let z be f(-7). Calculate the smallest common multiple of (0 - z)*(-15 - 0) and 7. 105 Let r = -489 - -1033. Calculate the least common multiple of r and 36. 4896 Let l = -445/4 - -108. Let c = 77/4 - l. Find the common denominator of c and (((-224)/(-2))/(-2))/(-9). 18 Let z = 186/17 + -1811/136. Find the common denominator of z and -93/656. 656 Calculate the least common multiple of 66 and ((-415)/(-85) - (-2)/17) + 31. 396 Suppose 3*f + 13290 = f. Let v = f - -79889/12. Find the common denominator of v and ((36/(-32)*2)/(3/(-36)))/(-16). 48 Suppose -4*o - 5*i + 63 = -0*i, -21 = -o + 4*i. Calculate the least common multiple of o and 10. 170 What is the common denominator of -109/24 and 38272/(-49140) - 4/(-7)? 1080 Let v = 1744489253301133/9622901 - 181285171. Let r = 7279407048039/423407644 + v. Let d = r + -17190. What is the common denominator of -137/6 and d? 132 Let w be ((-7776)/(-52))/3 - (-6)/39. Suppose 0*z - 5*z + w = 0. Calculate the least common multiple of 6 and z. 30 Suppose -6*u = -u - 11505. Let h = u - 1529. Let x = -4645/6 + h. Find the common denominator of x and -28/11. 66 Let u(b) = -b**3 + 11*b**2 - 28*b + 9. Let w be u(7). Suppose 2*i - w*i + 49 = 0. Calculate the lowest common multiple of 105 and i. 105 Suppose 4*g - 7 = -43. Let l be ((-28)/(-17))/(g/(-54)). Let h = l + -1291/153. Calculate the common denominator of h and 5/2. 18 Let g = 13501017021/4841330 + -5/484133. Let b = -2784 + g. Calculate the common denominator of -22/5 and b. 10 Suppose 3*s + 21 = 5*w + 306, 0 = -2*w - 2*s - 114. Let a = -51 - w. What is the least common multiple of a and 9? 18 Calculate the common denominator of -5 + 217/21 + -4 and 79/18. 18 Let n = -20177/7777 + 5/1414. What is the common denominator of 37/2 and n? 22 Let z(i) = -i**2 + 10*i - 7. Let y be z(7). Suppose -3*u + 4 + y = 0. What is the smallest common multiple of 6 and u? 6 Suppose -h - 4*v = 244, 4*v - 452 = 2*h - 0*v. Let s = 1845/8 + h. Find the common denominator of 7/25 and s. 200 Let z(c) = -c**3 - 6*c**2 - 11*c - 7. Let g be z(-4). Suppose g*u - 159 + 39 = 0. Calculate the smallest common multiple of 12 and u. 24 Let a = -10163/121 + 923/11. Calculate the common denominator of 57/44 and a. 484 Calculate the common denominator of 235/(-80) - 33/(-11) and 69/16. 16 Suppose 15 = -j - 4*j. Calculate the common denominator of (54/(-8))/((-5 + 4)*-2) and j*(-2)/(132/34). 88 Calculate the common denominator of (-2)/((-11)/(748/48)) and -87/272. 816 Find the common denominator of 11/48 and (((-9849)/266)/21)/(-2). 912 Let d = -41281/7032 - 4/879. Let j = -7941/4 + 1961. What is the common denominator of j and d? 8 Suppose 123 = 3*l - 3*o, 5*l - o - 209 = -0*l. Let k = l + -30. Find the common denominator of 107/14 and (5/(-25))/(k/(-385)). 84 What is the common denominator of (686/189 + 1)*18/(-48) and 113/56? 504 Let n = 7 + -1. Suppose -12*a + 14*a = n. Calculate the lowest common multiple of 1 and a. 3 Suppose 2*r - 6*w = -2*w + 32, 3*r + 3*w = 12. Calculate the smallest common multiple of 57 and r. 456 Let j = -372551/20 - -18622. Find the common denominator of j and (-41)/(166460/(-9657)) - (-6)/20. 140 Let q(u) be the third derivative of u**4/12 + 15*u**3/2 - 51*u**2. Calculate the least common multiple of q(0) and 30. 90 Suppose 198*g = 1169 + 7345. Calculate the least common multiple of g and 0/1 - -7*1. 301 Suppose -2*x = 439 + 81. What is the common denominator of (-1)/(-7) - (-474)/112 and -2 - (-2 + x/56)? 56 Calculate the common denominator of (-19)/(399/6) + (-954)/(-56) and 58/15*9/(-12). 20 What is the common denominator of -4*(24/(-18) - 61/(-54)) and 11/33 - 34/(-18)? 27 Let p(i) = -i**3 + 6*i**2 + 8*i - 4. Let s be p(7). Suppose -y - 2*y + s*h = -33, -2*y = -h - 17. Calculate the common denominator of 53/16 and (-15)/y*32/14. 112 Let b(u) = 4*u - 25. Suppose -3*j + 18 = 2*w - 10, 4 = 2*w. Calculate the lowest common multiple of 5 and b(j). 35 Suppose 0 = c + 5*l - 180 - 599, 4*l = -5*c + 3790. What is the smallest common multiple of 11 and c? 8294 Let c = -69372229/306 + 226707. Find the common denominator of c and 57/4. 612 Suppose 4*c = -4*i + 102 + 14, -4*c = 3*i - 113. Suppose 5*a - 3*a - 28 = 4*p, 0 = -5*a - p + c. Calculate the lowest common multiple of 4 and a. 12 Let m(k) = -2*k**2 + 25*k + 10. Calculate the least common multiple of 82 and m(12). 902 Let z be 4 - (-4)/((2 + -6)/(-2)). Suppose w - z*w + 4*y + 110 = 0, w = -4*y - 2. Calcul
{ "pile_set_name": "DM Mathematics" }
+ f**4/4 + 5*f**3/6 - 3*f**2. Let r be g(-5). Suppose r = -m + 4*s + 5, -2*s + 5 = m - s. Is 2 a factor of m? False Is (3/5)/((-12)/(-60)) a multiple of 2? False Let i(h) = 18*h**2 - 2*h - 4. Does 14 divide i(-2)? False Suppose -5*g + 60 = 3*h, -9 = 4*g + 3*h - 57. Is g a multiple of 3? True Suppose -2*k + l = 2*k - 832, 2*k = 3*l + 426. Is k a multiple of 23? True Let u(o) = 6*o**2 - 2*o + 1. Suppose 0 = -k + 3*k + 4. Is 10 a factor of u(k)? False Suppose -4*m = -20 + 4. Suppose m*p - 55 = 3*a - 8, -p = 2*a + 2. Is p a multiple of 8? True Suppose -4*k + 5*k = -2*i + 47, -88 = -2*k + 2*i. Does 22 divide k? False Let b = 41 - 21. Is b a multiple of 6? False Suppose 0*a + 3 = a. Suppose -2*c - 25 = a*c. Let n = 27 + c. Is 11 a factor of n? True Let r = 452 - 270. Is r a multiple of 14? True Let u be 2/((-6)/(-9)) + 0. Does 20 divide -1*u/(-3) - -29? False Let u = 89 + -62. Is 6 a factor of u? False Let q(n) = 18*n - 1. Let w be q(-5). Let i = -28 - w. Is i a multiple of 21? True Let y = 93 + -52. Let a = 59 - y. Suppose 3*g = g + a. Does 9 divide g? True Let n = 5 + -5. Suppose 4*a - 104 = -n*a. Is 9 a factor of a? False Suppose 29*q + 49 = 30*q. Is q a multiple of 49? True Suppose -12 = -u - 5*y, -2*y + 0*y + 2 = -u. Suppose 15 = -u*n + 5*n, 4*k = -3*n + 315. Is k a multiple of 15? True Let f be 4 + (1 + 0 - 2). Suppose p + f*l + 12 = 0, p + l + 2 = -0*l. Suppose p*h = 7*h - 36. Does 5 divide h? False Suppose -121 = -5*d - 3*z, -2*z + 6*z + 90 = 3*d. Let b = d + -16. Is 5 a factor of b? True Let q = 25 + -9. Suppose -q = -4*v, 4*v = -2*l + 2*v + 16. Is l a multiple of 2? True Let j(y) be the second derivative of -y**4/12 - 3*y**3/2 - 4*y**2 + 2*y. Does 6 divide j(-7)? True Let w = 26 - 20. Is 9 a factor of (-1 + w/9)*-27? True Suppose 0 = l + 28 - 84. Is l a multiple of 28? True Suppose 0 = -5*y + 3*b - 9 + 94, 2*y - 8 = -4*b. Let x be 32/y + (-8)/28. Is 1 + (x - 1) + 2 a multiple of 4? True Let f(x) be the second derivative of -x**8/6720 - x**7/1260 + x**6/240 + x**5/30 - x**4/4 + x. Let j(r) be the third derivative of f(r). Is 9 a factor of j(-4)? False Let b be (4 - 7)*(-4)/6. Let h(y) = b + 3 - y + 5. Is h(0) a multiple of 5? True Let k(w) = -w**2 + 6*w - 3. Let q be k(5). Suppose 0*p + 2*u = p - 83, q*u = -3*p + 257. Is 18 a factor of p? False Let x(j) = -9*j - 1. Let v be x(-1). Let m be (1 - 1)/(v/(-4)). Suppose m = -3*n + 67 - 10. Is 5 a factor of n? False Let x(w) be the second derivative of w**5/20 - w**4 + 5*w**3/3 + 8*w**2 - 6*w. Is x(11) a multiple of 5? True Is (224/21)/(6/9) a multiple of 6? False Suppose -8*r = -3*r + 5. Let y(c) = c**2 - 2*c + 1. Let z be y(-2). Does 9 divide (-2 - r) + (z - -1)? True Let z(g) = 0*g + 7*g + 2 - 1. Does 18 divide z(5)? True Let k = -29 + 42. Does 3 divide k? False Let b be (-2)/(-4) + 94/4. Let s = 71 + 13. Does 12 divide b/(-7)*s/(-8)? True Suppose 3*y - 3*p = 0, p - 25 = -3*y - 9. Is 3 a factor of y? False Suppose 9*k + 519 = 2085. Is 6 a factor of k? True Let y(f) = -f + 10. Let h be y(7). Suppose 2*z + 25 = -h*z, 2*b - 5*z = -9. Let n = b - -42. Is n a multiple of 9? False Suppose 3*f + 6 + 9 = 0, -2*f = -3*d + 82. Is 9 a factor of 49/4 - 6/d? False Let q(h) = h**3 + 2*h**2 - 3*h + 2. Let p be q(-3). Let u = 16 - p. Is u a multiple of 4? False Let j = -5 - -4. Let r(u) = 4*u**2 - u. Let v be r(j). Suppose -v*p + 109 = -p + 3*m, 4*m + 32 = p. Does 14 divide p? True Suppose -2*w - 3 = -4*z - 7, w + 3*z + 13 = 0. Let l(s) = -s**3 - 2*s**2 + 5*s - 2. Is 5 a factor of l(w)? True Suppose -13*f = -7*f - 1104. Does 23 divide f? True Let j(v) be the second derivative of -2*v**3 + 3*v**2/2 - 3*v. Is 27 a factor of j(-2)? True Suppose 5*i - 5 = 10. Suppose -i*d + 36 = f, 4*d = 2*f + 3*f - 142. Is 21 a factor of f? False Suppose -3*t = 3*t - 198. Does 16 divide t? False Let g(u) be the third derivative of u**5/30 - u**4/8 - u**3 + 3*u**2. Does 12 divide g(6)? True Let m = 4 + 0. Suppose m*z - 21 = z. Is 7 a factor of z? True Suppose -3*f - 3 = -n + 4*n, -n - 11 = 3*f. Suppose -n*h + 96 = -44. Does 7 divide h? True Suppose -14*f + 1092 = -8*f. Does 14 divide f? True Let y(d) = -31*d**3 - 2*d**2 + 1. Let g = 10 - 11. Is y(g) a multiple of 15? True Suppose 0 = q - 0*q - 6. Suppose -5*k - 38 = -148. Is 11 a factor of (k/4)/(3/q)? True Suppose -5*z = 2*o - 2, 2*o + 19 = 4*z + 3. Suppose -z*u + 0*u = -24. Suppose -w + 4 + u = 0. Does 8 divide w? True Let h be 3/(-15) + 11/5. Suppose h*s - 3*s = -16. Does 13 divide s? False Let c = 14 - 9. Suppose -5*b - 5*s = -145, 0 - 5 = -c*s. Is 20 a factor of b? False Let r = -1 + 1. Suppose 0 = -2*k - r*k + 14. Let f(b) = b + 1. Does 3 divide f(k)? False Let f be (-3)/(2 + 1) - -1. Suppose f = 5*t - 3*t. Suppose 9 = z - t*z - o, 3*o = -3*z + 39. Is 7 a factor of z? False Suppose 2*i + 1 = 5. Is (i - 5) + 1 + 10 a multiple of 8? True Suppose -4*d = 0, -2*d = 2*u + 3*d - 54. Does 6 divide u? False Suppose -w = 4*y - 217, -3*w = -0*w + 9. Is 11 a factor of y? True Let y be 58/(-6) - 2/(-3). Let a = -8 - y. Let l(v) = 18*v**3 + v - 1. Does 18 divide l(a)? True Let r = -4 + 5. Let a(u) = 3*u. Let o be a(r). Suppose 104 = o*d + d. Does 13 divide d? True Is (499/12 + 2/(-8))*3 a multiple of 31? True Suppose -237 = -5*b - 3*j, j + 0*j = -1. Does 11 divide b? False Is 3/(-12) - (-1940)/16 a multiple of 31? False Let d = 24 - -8. Let g = d + -13. Is 19 a factor of g? True Let x(b) = b**3 - 5*b**2 - 5*b - 2. Let k be x(6). Let i be (-95)/(-3) - 2/(-6). Suppose k*u = -3*o + i, 0 = 3*u - 6 - 0. Does 4 divide o? True Let g(z) = z**3 - z**2 + z + 5. Let s(d) = -d**3 - d**2 + 2*d. Let j be s(-2). Let l be g(j). Suppose -l*u + 36 = -2*u. Does 12 divide u? True Let d = 176 + -128. Does 8 divide d? True Suppose 59 = p + 17. Suppose 3*l + 2*w = 128, -4*l + 204 = -5*w + w. Suppose -4*b = 3*i - 5*b - l, -2*i - 5*b = -p. Is 16 a factor of i? True Let z(d) be the third derivative of -d**5/60 + 5*d**4/24 + 3*d**3/2 + d**2. Let x be z(7). Does 3 divide (14/4)/(x/(-10))? False Suppose 4*j = j - 3*h + 144, -2*j = -3*h - 76. Is j a multiple of 11? True Let t = 20 - 18. Suppose 0 = 3*o + 5*c - 95 - 17, t*c - 126 = -4*o. Is o a multiple of 13? False Suppose -5*z + 0*q + 20 = -q, 4*z = -3*q + 16. Let m be 18/4*(z + 0). Suppose -5*w = 5*t - 5, -2*t = -3*w - 45 + m. Is t a multiple of 6? True Let c = -116 + 166. Does 10 divide c? True Suppose 2*v = -3*d + 87 + 15, -4*v = d - 194. Suppose -6*b + 2*b = -v. Is b a multiple of 6? True Let l(z) = 2*z + 2. Let y(m) = -8*m**2 + 2 - 2 - 3*m - m**3 - 5*m. Let a be y(-7). Is l(a) a multiple of 8? True Let y = 12 - 8. Is 4 a factor of y*(2 + -3 + 3)? True Suppose 3*w - 2*n = -6*n - 4, 0 = 2*w - 4*n + 16. Is 15 a factor of 680/28 - w/(-14)? False Let z(m) = 7*m - 27. Is 13 a factor of z(15)? True Suppose -4*n = -10 - 14. Is n a multiple of 6? True Let x(v) = 4*v**2 - 3*v + 7. Let k be x(-6). Let o = k + -115. Does 11 divide o? False Suppose 2*o + 2*o - 2*s - 38 = 0, 3*s + 21 = 3*o. Suppose -2*d - 4*q - o = -124, -4*d + 214 = -2*q. Is d/8 - (-1)/4 a multiple of 7? True Let g = 89 - 55. Let w(d) = -d**3 + 5*d**2 + 3*d. Let i be w(6). Let p = g + i. Does 7 divide p? False Let f be 1/2 - 27/(-6). Suppose f*j - 5 = 0, -8 - 55 = -4*d + j. Does 13 divide (-4)/d + (-210)/(-8)? True Let b(y) = 9*y**2 - 6*y - 8. Is 25 a factor of b(-4)? False Suppose -5*o + o + 16 = 0. Suppose 0 = -3*a - 3*i + 18, 31 = 5*a - 0*a + o*i. Is a a multiple of 3? False Suppose 4*l + 0*l + 16 = 0. Is 2 + l - -4 - -11 a multiple of 3? False Suppose 133 + 112 = i. Is 49 a factor of i? True Suppose -5*c = -10*c - 240. Let w = 87 + c. Is w a multiple of 13? True Suppose 0 = -0*h + 2*h - 3*i - 404, -3*h + 605 = -5*i. Suppose 11 + h = 4*f. Let m = f + -31. Is 8 a factor of m? False Let i = 5 + -2. Suppose -i = s, 3*s = 4*g - s - 32. Suppose g*j - 130 = -4*o, 0 = 2*o + 4*j - 44 - 24. Does 15 divide o? True Let r(q) = 2*q**2 + 10*q + 2. Suppose 4*a - 5*d + 13 = 0, -5*d - 31 = 3*a + 5. Does 13 divide r(a)? False Let x = -18 + 78. Suppose -4*t + x = -0*t. Is t a multiple of 4? False Suppose 0 = -d - 4*d + 4*p + 158, -99 = -3*d + p. Suppose s - 2*b - d = 0, 0*s + 3*s - 5*b = 103. Does 18 divide s? True Suppose 5*d - 48 = 2*g, -5*d + 28 = -2*g + 5*g. Let l be (18/d)/(6/16). Suppose -2*q - 20 = -l*q. Is q
{ "pile_set_name": "DM Mathematics" }
? 2 Suppose -20*y = -19*y - 73. What is the remainder when y is divided by 25? 23 Suppose 0 = -5*t + 32 + 23. What is the remainder when 76 is divided by t? 10 Let r(x) = 3*x**2 - 5*x + 4. What is the remainder when r(2) is divided by 4? 2 Let q(u) = -21*u - 2. Let v(h) = h - 1. Let x be v(-1). What is the remainder when q(x) is divided by 2/8 - (-110)/8? 12 Let c = 133 + -58. Let z(b) = b**3 + b**2 - b - 47. Let u be z(0). Let t = u + c. Calculate the remainder when t is divided by 10. 8 Suppose 3 = 2*g - 5, -5*g - 43 = -3*u. What is the remainder when 52 is divided by u? 10 Let k(n) = -14*n - 1. Suppose -3*z + 51 = -33. Suppose 0 = -4*i + 2*i + z. What is the remainder when k(-3) is divided by i? 13 Suppose 0*n = -3*n + 4*q + 8, -q - 4 = -n. What is the remainder when 61 is divided by -32*-2*2/n? 13 Let k = -59 - -89. What is the remainder when k is divided by (-34)/(-4) + 15/6 + -3? 6 Let b(q) be the third derivative of -q**4/8 + 7*q**3/6 - q**2. What is the remainder when b(-8) is divided by 8? 7 Let u be 0 + 4 - 6/3. Suppose u*r - 115 = -3*r. Suppose -5*a = -6*m + 3*m + 145, 5*m + a - 223 = 0. What is the remainder when m is divided by r? 22 Let g = -29 - -32. Calculate the remainder when g is divided by 3. 0 Suppose -5 = 4*i - 1. Suppose -3*m + 69 = 3*o, m = -3*o - 0*m + 75. What is the remainder when o is divided by ((-9)/(-2))/(i/(-2))? 8 Let y(i) = 3 - i + 0*i - 2. Suppose -1 - 15 = 2*l. Calculate the remainder when y(l) is divided by 4. 1 Let r be 2/(-1) + 0 - -1. What is the remainder when (2 - 9)/(5/(-25)) is divided by (-1)/(r/9) - 0? 8 Let j(o) = 1 + 3*o**2 + 2*o**2 + 1 - o. Let v be j(2). What is the remainder when (3 - 5)*v/(-2) is divided by 11? 9 Suppose -18 = -5*g + 117. Calculate the remainder when 53 is divided by g. 26 Let w = -5 - -23. What is the remainder when 70 is divided by w? 16 Let g = 5 + -1. Let x(h) = 11*h**2 - 3*h + 5*h + h**3 - 5*h**2. What is the remainder when x(-5) is divided by g? 3 Suppose 0 = -2*d - h - 1, -2*d + 0*d + 2*h - 16 = 0. Let x(w) = -2*w - 3. What is the remainder when 7 is divided by x(d)? 1 Suppose 4*r + r = 115. Suppose -u + 10 + 12 = 4*d, 3*d = -3*u + 12. Calculate the remainder when r is divided by d. 5 Let b = 47 - 14. Let g(r) = r**3 + 6*r**2 + 2*r - 1. Let x be g(-6). Let k = 22 + x. Calculate the remainder when b is divided by k. 6 Let t(p) = -p + 9. Let u be t(8). Let z(y) be the first derivative of 2*y**2 + y + 3. Calculate the remainder when 13 is divided by z(u). 3 Let d = 26 - 22. Suppose -5 = -l - 2. Suppose 2*z = 3*z - l. Calculate the remainder when d is divided by z. 1 Suppose -2*i - 44 = -122. What is the remainder when i is divided by 10? 9 Calculate the remainder when (2/(4/(-19)))/((-1)/2) is divided by 8. 3 Let a = 78 - 62. Calculate the remainder when 24 is divided by a. 8 Suppose q + 2*g = 13, -14 = 3*g - 2. Suppose -4*v + 8*v = -i + 4, -i + 11 = -3*v. What is the remainder when q is divided by i? 5 Let t be ((-1)/(-3) - 0)*60. What is the remainder when 23 is divided by (3 - 1)/(t/90)? 5 Let y(w) = w**2 + 6*w + 6. Calculate the remainder when 16 is divided by y(-6). 4 Suppose 20 = 2*s - 0*s. Let m(c) = -c**2 + 5*c + 8. Let t be m(6). Suppose -2*q = -3*a - 27, t + 13 = 5*a. What is the remainder when q is divided by s? 8 Let w be (0/2)/((-3)/(-3)). Let s(a) = a**2 + 3. Calculate the remainder when 6 is divided by s(w). 0 Let n(z) = z - 3. Let r be ((-1)/(-3))/(2/30). What is the remainder when 5 is divided by n(r)? 1 Let o(h) be the first derivative of -4*h**2 + 3. What is the remainder when o(-2) is divided by 9? 7 Let t = -171 + 175. What is the remainder when 51 is divided by t? 3 Let g(x) = -x**3 - 6*x**2 - 9*x - 2. Let z be g(-6). Suppose 83 = 5*y - z. Calculate the remainder when y is divided by (-1 - (-15 - 0)) + 0. 13 Let n(g) = -3*g - 3. What is the remainder when n(-13) is divided by 19? 17 Suppose 0 = 17*k - 14*k - 264. What is the remainder when k is divided by 18? 16 Suppose x + 6 = -0*x - 4*y, x + 2*y = 0. Suppose n - x*n = -3*d - 4, -2*d = n + 20. Let s(b) = -2*b - 3. Calculate the remainder when 38 is divided by s(d). 12 Suppose -o + 5 = 3. What is the remainder when 4 is divided by o? 0 Let z(k) = -k + 10. Calculate the remainder when 52 is divided by z(-8). 16 Suppose -16 = -s - 3*q, -s + q - 1 + 21 = 0. Suppose -f + 2*p + 4 = -2, -4*f + p + 38 = 0. What is the remainder when s is divided by f? 9 Let m(l) = -2*l + 3. Suppose r = 5*r - 32. What is the remainder when m(-5) is divided by r? 5 Suppose f + 9 = j, 5*j - f = -3*f + 80. Calculate the remainder when 39 is divided by j. 11 Let u = 12 + 22. Suppose -4*w + 185 = w. Suppose -5*g + 24 + w = s, -g + 5*s + 7 = 0. Calculate the remainder when u is divided by g. 10 Suppose -2*a + 12 = -a. Calculate the remainder when 21 is divided by a. 9 Suppose -2*t - 3*x - 33 = 0, -29 = 5*t - 4*x + 19. Suppose -5*g = -3*k + 12, -3*g - 4 = -0*k - k. Calculate the remainder when (-8)/t + 62/6 is divided by k. 3 Suppose 4*o = 5*b - 296, 3*o - o - 272 = -5*b. Suppose -2 = 3*f - b. Calculate the remainder when f is divided by 7. 4 Suppose 43 = 5*t - 32. What is the remainder when t is divided by 6? 3 Let x = 4 - 2. Suppose -4*d + 9 = d - 4*j, d - 5*j - 6 = 0. Let i = d + x. Calculate the remainder when 4 is divided by i. 1 Let o(m) = -m**3 - 3*m**2 + m + 4. Suppose -2*l - 3*r = -14, -16 - 8 = -2*l + 2*r. What is the remainder when l is divided by o(0)? 2 Let o be -1 - (-6*2 + 1). Let j = 55 + -54. What is the remainder when 19 is divided by o*j + 0 + -3? 5 Let k(t) = -3*t - 67. What is the remainder when 67 is divided by k(-27)? 11 Suppose 448 = -2*k - 2*k. Calculate the remainder when k/(-5) - 12/30 is divided by ((-12)/10)/(1/(-10)). 10 Calculate the remainder when 67 is divided by (-4)/(-8 + 4) - -16. 16 Suppose -4*a + 2*i = -14, 0 = -3*a - i + 3*i + 9. Suppose -3*r + a*q = -30 - 75, 3*r - 84 = -2*q. Calculate the remainder when r is divided by 11. 8 Suppose -4 = -4*b - 16. Let p = 30 - 13. What is the remainder when p is divided by ((-3)/(-5))/(b/(-45))? 8 Let m = -15 - -46. What is the remainder when 58 is divided by m? 27 Let k(i) = i**3 + 4*i**2 - 5*i + 3. Let b = 3 + 1. Suppose -j = j - b. Calculate the remainder when k(-5) is divided by j. 1 Suppose 2*c = -5*y + 46, -c + y = -3*y - 23. What is the remainder when 67 + (4/(-26) - (-55)/(-65)) is divided by c? 20 Let s = 13 - -9. Let n be (4/(-2))/((-4)/10). Let g(v) = -v**2 + 8*v - 3. What is the remainder when s is divided by g(n)? 10 Let c = -42 + 61. Let s(r) = 2*r**2 + 4*r + 4. What is the remainder when c is divided by s(-3)? 9 Suppose 2*o = 6*o. Let u be o - (-1)/3*0. Suppose -5*b + 28 + 87 = u. What is the remainder when b is divided by 12? 11 Let w(k) = 2*k - 4. Let m be w(3). Suppose -272 = -5*h - 3*n, 3*h - 2*n - 44 = m*h. What is the remainder when h is divided by 18? 16 Let g(x) = x**3 - 10*x**2 - 11*x + 16. Let z be g(11). Suppose 3*r + r = z. What is the remainder when r is divided by 3? 1 Let u = 912 + -807. Calculate the remainder when u is divided by (2 + -9)*72/(-14). 33 Let a = 23 - 16. Calculate the remainder when 13 is divided by a. 6 Suppose 5*z - 2*l = 79 + 127, -z - 3*l = -48. Let g = z + -27. What is the remainder when ((-3)/(-6))/(2/112) is divided by g? 13 Suppose -4*m - 4 = 5*g, -m - 5*g + 1 = -2*m. Calculate the remainder when 34 - m - (-2 + 3) is divided by 12. 10 Let t(f) = 25*f - 89. Let p(d) = -11*d - 3. What is the remainder when p(-4) is divided by t(4)? 8 Suppose 2*y = 4*l - 176, -20 = -l + y + 24. What is the remainder when l is divided by 24? 20 Let z = -30 - -46. Suppose -5*c + 11 = -149. Suppose 29 = o - c. What is the remainder when o is divided by z? 13 Suppose 0*i - 4*i + 184 = -t, 2*i = -5*t + 70. What is the remainder when i is divided by 6? 3 Let w(u) = 2*u - 1. Let m be w(6). Let c(o) = o**3 - 11*o**2 + 2*o - 16. Let q be c(m). What is the remainder when 3/2 + 69/q is divided by 7? 6 Let w = 52 + -22. Suppose -3 = -4*m + 61. Calculate the remainder when w is divided by m. 14 Let h = -7 - -26. Let s(q) = 2*q + 4*q**2 + 0 - q**3 + 0 - 2. Calculate the remainder when s(-3) is divided by h. 17 What is the remainder when (-244)/10*20/(-8) is divided by 16? 13 Let g(r) = 1 + 3*r - 7 + 0. Calculate the remainder when 1
{ "pile_set_name": "DM Mathematics" }
+ 128189971569600 = 0. -5, 17244 Solve 2*x**4/15 + 382*x**3/15 - 6542*x**2/15 + 16922*x/15 - 3588/5 = 0 for x. -207, 1, 2, 13 Suppose w**2 - 920*w + 12684 = 0. What is w? 14, 906 Find t, given that -4*t**4 + 260*t**3 - 2744*t**2 + 1984*t + 4992 = 0. -1, 2, 12, 52 Suppose 2*z**4 + 826*z**3 - 28480*z**2 = 0. What is z? -445, 0, 32 Factor 3*d**3/4 + 75*d**2/2 - 2271*d/4 - 1209/2. 3*(d - 13)*(d + 1)*(d + 62)/4 Suppose -t**3/6 + 112*t**2/3 + 3571*t/6 + 1673/3 = 0. Calculate t. -14, -1, 239 Let y**2/4 - 145655*y/4 = 0. What is y? 0, 145655 Factor -q**2 + 688*q - 12060. -(q - 670)*(q - 18) Find o, given that 4*o**2 - 764172*o + 764168 = 0. 1, 191042 Determine s so that 2*s**4/3 + 5420*s**3/3 + 1222208*s**2 - 2451648*s = 0. -1356, 0, 2 Let 3*l**3 - 7041*l**2 + 3997968*l + 157715904 = 0. What is l? -37, 1192 What is a in 2*a**3 - 110*a**2 - 38994*a - 115938 = 0? -113, -3, 171 What is g in 31*g**4 + 233*g**3/4 - 201*g**2/2 + 45*g/4 = 0? -3, 0, 15/124, 1 Suppose -2*t**5/11 - 48*t**4/11 - 8*t**3/11 + 852*t**2/11 - 566*t/11 - 1380/11 = 0. Calculate t. -23, -5, -1, 2, 3 Factor -3*k**3 + 20541*k**2 - 35130225*k - 105575625. -3*(k - 3425)**2*(k + 3) Let 5*l**4 - 590*l**3 + 5025*l**2 - 13160*l + 8720 = 0. Calculate l. 1, 4, 109 Determine x so that -2*x**4/19 + 292*x**3/19 + 1826*x**2/19 - 292*x/19 - 96 = 0. -6, -1, 1, 152 Determine y, given that 3*y**4 + 153*y**3 - 115686*y**2 + 6971916*y + 7087752 = 0. -246, -1, 98 Find y such that 3*y**2 + 2712*y + 186525 = 0. -829, -75 Suppose -2*t**2/3 - 52036*t/9 - 86710/9 = 0. What is t? -8671, -5/3 Factor 3*u**4 + 1908*u**3 + 13227*u**2 + 11322*u. 3*u*(u + 1)*(u + 6)*(u + 629) Factor 2*i**3/13 - 3774*i**2/13 + 22590*i/13 - 33858/13. 2*(i - 1881)*(i - 3)**2/13 Suppose -3*v**4/2 + 753*v**3 - 193467*v**2/2 + 560232*v - 830304 = 0. Calculate v. 3, 248 Determine m, given that 76*m**5/7 + 72*m**4/7 - 80*m**3/7 - 72*m**2/7 + 4*m/7 = 0. -1, 0, 1/19, 1 Find p, given that -18108*p**3/13 + 12162*p**2/13 - 2072*p/13 + 10/13 = 0. 5/1006, 1/3 Factor 2*j**3/3 + 596*j**2/3 + 4094*j/3 + 1940. 2*(j + 2)*(j + 5)*(j + 291)/3 Find w such that 54*w**3 - 2316*w**2 - 11786*w - 9416 = 0. -11/3, -1, 428/9 Find n, given that 92*n**4 - 1772*n**3 + 7680*n**2 + 10000*n - 16000 = 0. -40/23, 1, 10 Determine u so that 3*u**2 - 760671*u + 760668 = 0. 1, 253556 Let 9*d**5/2 - 192*d**4 + 2533*d**3/2 + 2017*d**2 + 214*d - 340 = 0. Calculate d. -1, -2/3, 1/3, 10, 34 Let -2*x**5/5 + 22*x**4/5 + 32*x**3/5 - 88*x**2/5 - 96*x/5 = 0. Calculate x. -2, -1, 0, 2, 12 Solve -192*g**4 - 15216*g**3 - 87699*g**2 - 693*g + 476982 = 0 for g. -73, -33/8, 2 Suppose 5*s**2 - 3209190*s + 514945022805 = 0. What is s? 320919 Factor -v**3/5 - 8546*v**2/5 + 11973*v - 51318/5. -(v - 6)*(v - 1)*(v + 8553)/5 Factor -2*r**2/19 + 9050*r/19 + 9052/19. -2*(r - 4526)*(r + 1)/19 Let 90*k**5 + 3425*k**4 + 15040*k**3 + 825*k**2 = 0. What is k? -33, -5, -1/18, 0 Factor 36*g**2 - 6016*g + 29180. 4*(g - 5)*(9*g - 1459) Solve 2*g**5 - 112*g**4 - 1286*g**3 - 2228*g**2 - 1056*g = 0 for g. -8, -1, 0, 66 Suppose -3*n**5/5 - 51*n**4/5 + 279*n**3/5 + 459*n**2/5 - 2268*n/5 = 0. Calculate n. -21, -3, 0, 3, 4 Solve -2539*k**2 + 30467*k/6 + 1/3 = 0. -1/15234, 2 Solve 700*j**3 + 321995*j**2/2 - 575*j = 0. -230, 0, 1/280 Factor 5*s**5 + 1630*s**4 - 4935*s**3. 5*s**3*(s - 3)*(s + 329) Determine u, given that -u**5/2 + 251*u**4/2 + 2252*u**3 + 7058*u**2 - 24120*u = 0. -10, -9, 0, 2, 268 Find j, given that -2*j**3/13 - 3616*j**2/13 + 21848*j/13 + 145120/13 = 0. -1814, -4, 10 Factor k**3/3 - 85*k**2/3 + 522*k. k*(k - 58)*(k - 27)/3 Factor -q**3/2 + 1497*q**2/2 - 14031*q - 14780. -(q - 1478)*(q - 20)*(q + 1)/2 Solve 2*r**5/5 - 24*r**4/5 - 242*r**3/5 - 464*r**2/5 + 24*r + 608/5 = 0. -4, -2, 1, 19 Factor 4*o**2 + 12420*o + 74376. 4*(o + 6)*(o + 3099) Find h such that h**3/4 + 38187*h**2/2 - 152751*h/4 + 19094 = 0. -76376, 1 Factor 2*k**3 + 604*k**2 + 602*k. 2*k*(k + 1)*(k + 301) Factor -5*d**3 + 1235*d**2 + 18345*d - 19575. -5*(d - 261)*(d - 1)*(d + 15) Solve 20*x**2 - 1024*x + 12992 = 0. 116/5, 28 Suppose 2*z**2 + 77726*z = 0. Calculate z. -38863, 0 Factor 2*x**2/3 - 88*x - 13320. 2*(x - 222)*(x + 90)/3 Factor -5*h**3 - 765*h**2 - 29640*h - 28880. -5*(h + 1)*(h + 76)**2 Solve -5*h**2 - 2990*h - 215880 = 0 for h. -514, -84 Factor -2*c**2 + 944308*c - 111464699858. -2*(c - 236077)**2 Factor -p**3/11 - 6426*p**2/11 + 19297*p/11 + 64290/11. -(p - 5)*(p + 2)*(p + 6429)/11 Factor 2*o**4/9 + 248*o**3/9 + 160*o**2 + 2848*o/9 + 1888/9. 2*(o + 2)**3*(o + 118)/9 Factor -4*l**3/5 + 77808*l**2/5 - 622272*l/5 + 1244416/5. -4*(l - 19444)*(l - 4)**2/5 Determine m, given that 2*m**3/3 + 1702*m**2/3 + 11816*m/3 = 0. -844, -7, 0 Factor 4*u**3 - 2512*u**2 + 63788*u + 673120. 4*(u - 601)*(u - 35)*(u + 8) Factor -4*f**4 + 276*f**3 - 1548*f**2 + 2284*f - 1008. -4*(f - 63)*(f - 4)*(f - 1)**2 What is o in -5*o**2 + 4460*o - 17760 = 0? 4, 888 Determine s, given that -2*s**2 - 494012*s - 30505982018 = 0. -123503 Suppose h**2 + 350*h + 349 = 0. What is h? -349, -1 Suppose w**2/5 + 806*w + 261624/5 = 0. What is w? -3964, -66 Factor -4*k**5 + 3408*k**4 + 13672*k**3 + 20528*k**2 + 13692*k + 3424. -4*(k - 856)*(k + 1)**4 Factor 8409*k**3 - 16815*k**2 + 8403*k + 3. 3*(k - 1)**2*(2803*k + 1) What is w in w**5/2 + 27*w**4/2 - 393*w**3/2 - 863*w**2/2 - 222*w = 0? -37, -1, 0, 12 Factor m**3 + 2763*m**2 - 83565*m + 628425. (m - 15)**2*(m + 2793) Factor -5*d**5 - 285*d**4 - 1590*d**3 - 3110*d**2 - 2565*d - 765. -5*(d + 1)**3*(d + 3)*(d + 51) Factor l**4/6 - 3047*l**3/3 + 2050132*l**2 - 4031708240*l/3 - 162254322496/3. (l - 2044)**3*(l + 38)/6 Determine o so that -o**4/7 + 11351*o**3/7 + 603737*o**2/7 + 7698429*o/7 - 8313516/7 = 0. -27, 1, 11404 Factor 2*l**3/9 - 22522*l**2/9 + 45038*l/9 - 2502. 2*(l - 11259)*(l - 1)**2/9 Find y, given that -y**4/11 + 452*y**3/11 - 1797*y**2/11 + 2242*y/11 - 896/11 = 0. 1, 2, 448 Factor -5*y**3 + 3635*y**2 - 25200*y. -5*y*(y - 720)*(y - 7) Factor -4*j**4 + 76*j**3 - 312*j**2. -4*j**2*(j - 13)*(j - 6) Determine s, given that -2*s**5 - 644*s**4 + 1296*s**3 = 0. -324, 0, 2 Factor 5*n**4 - 195*n**3 + 2500*n**2 - 10560*n. 5*n*(n - 16)*(n - 12)*(n - 11) Factor -4*c**5 + 4728*c**4 - 1429828*c**3 + 19328064*c**2 - 66846976*c. -4*c*(c - 584)**2*(c - 7)**2 Factor 4*c**2 + 2688*c + 8028. 4*(c + 3)*(c + 669) Let 3*y**5 + 34266*y**4 + 97571904*y**3 - 1569419418*y**2 + 1471813245*y = 0. What is y? -5719, 0, 1, 15 Find i, given that -3*i**5 - 735*i**4 - 40149*i**3 + 684327*i**2 + 9496320*i + 25804800 = 0. -128, -5, 21 Factor 13*b**3/2 + b**2 - 283*b/2 + 134. (b - 4)*(b - 1)*(13*b + 67)/2 Determine h so that 4*h**3 + 149*h**2 - 1258*h - 3080 = 0. -44, -2, 35/4 Let 2*z**3/3 + 290054*z**2/9 + 171866*z + 483370/9 = 0. What is z? -48337, -5, -1/3 Find x, given that -26*x**3/9 - 8822*x**2/9 + 15020*x/9 + 5456/9 = 0. -341, -4/13, 2 Factor 35*t**2 + 1450*t - 534360. 5*(t + 146)*(7*t - 732) Determine d, given that 5*d**2 - 1270*d - 25935 = 0. -19, 273 Solve 2*l**3/15 - 4582*l**2/5 - 82532*l/15 - 36688/5 = 0 for l. -4, -2, 6879 Solve 36*h**5 + 2816*h**4 - 11580*h**3 - 34104*h**2 + 81584*h + 19680 = 0 for h. -82, -3, -2/9, 2, 5 Factor l**3/9 + 439*l**2/9 - 51457*l/9 - 51895/9. (l - 97)*(l + 1)*(l + 535)/9 Determine r, given that -33*r**4 + 2718*r**3 - 3657*r**2 + 972*r = 0. 0, 4/11, 1, 81 Factor -3*u**3 + 45*u**2 + 27*u - 1365. -3*(u - 13)*(u - 7)*(u + 5) Determine y so that 3*y**3 + 22548*y**2 - 3*y - 22548 = 0. -7516, -1, 1 What is f in -3*f**2/5 - 354*f + 1773/5 = 0? -591, 1 Factor -q**5/5 - 8746*q**4 - 637423056*q**3/5 - 3096813651246*q**2/5 + 3097451118033*q/5. -q*(q - 1)*(q + 14577)**3/5 Factor -5*g**2 + 840*g - 30160. -5*(g - 116)*(g - 52) Factor -2*d**3 - 1086*d**2 - 136566*d + 3000518. -2*(d - 19)*(d + 281)**2 Factor -d**5/3 - 569*d**4/3 - 77720*d**3/3 + 925100*d**2/3. -d**2*(d - 11)*(d + 290)**2/3 Factor 3*t**3/2 + 39*t**2 + 435*t/2 + 342. 3*(t + 3)*(t + 4)*(t + 19)/2 Determine n so that -2*n**5/9 - 404*n**4/9 - 1190*n**3/9 + 820*n**2/9 + 4792*n/9 + 3184/9 = 0. -199, -2, -1, 2 Factor q**3/6 + 64*q**2 - 782*q/3 - 776. (q - 6)*(q + 2)*(q + 388)/6 Factor -2*u**2 - 9034*u + 63336. -2*(u - 7)*(u + 4524) Find i, given that -46*i**3/7 + 1096*i**2/7 + 192*i/7 = 0. -4/23, 0, 24 What is m in -m**5 - 18*m**4 - 89*m**3 - 72*m**2 = 0? -9, -
{ "pile_set_name": "DM Mathematics" }
z - 5. Is b(t) a multiple of 6? True Let h = 531 - -28. Is 58 a factor of h? False Let a(r) = 4*r**2 - 60*r + 296. Is a(29) a multiple of 19? False Let z = 110 + 307. Is 8 a factor of z? False Let c(h) = 47*h**2 - 13*h + 20. Is 12 a factor of c(4)? True Suppose 2*w = w + 176. Suppose -5*p + 981 - w = 0. Does 36 divide p? False Let f = -2585 + 2739. Does 7 divide f? True Let a = -67 - -86. Suppose 224 = a*l - 11*l. Is 14 a factor of l? True Let z = -1611 - -3110. Does 24 divide z? False Suppose 3*g - 10*p = -5*p + 1004, 0 = -4*g - 3*p + 1300. Is g a multiple of 38? False Let s = 303 - 206. Let u = s + -68. Is 10 a factor of u? False Let m(n) = -n + 80. Let k be m(0). Suppose 3*c - 57 = 57. Suppose u + c = 5*p - k, p - u = 22. Does 6 divide p? True Suppose 5*d - 8*d = -18. Suppose 43 = 7*s - d. Suppose -34 = -3*i + 3*p - s, 5*p = -2*i + 53. Is i a multiple of 7? True Let m(z) = 21 - 22*z + 2*z + 0*z - 5. Is m(-7) a multiple of 21? False Let j(f) = f - 21. Let d be j(19). Let o be d/6*(-7 + 4). Is o/(2 - (-39)/(-21)) a multiple of 5? False Suppose -o + 3*d + 462 = o, 2*d - 940 = -4*o. Is 36 a factor of o? False Suppose -2*h + 0*h + 334 = 0. Suppose 3*y = 4 + h. Does 29 divide y? False Let j(w) = 3*w - 7. Suppose -7*d + 8*d + 3 = 0. Let p(m) = m**2 + 2*m + 1. Let x be p(d). Is 5 a factor of j(x)? True Suppose 5*z - 2 = 4*z. Suppose 42 + 38 = z*m. Does 7 divide m? False Does 36 divide 656/2 - (25 - 21)? True Let o(q) = 84*q**2 + q. Suppose 6*i - i + 3*u = -20, u = -5. Let x be o(i). Suppose -x - 147 = -5*k. Is 11 a factor of k? False Suppose -19 = -4*q + 433. Suppose -2*s - 5*t = -81, 3*s + 4*t - q + 9 = 0. Is s a multiple of 14? True Let x = -93 + 100. Suppose -2*u = -3*v - 7 - x, 3*u = 4*v + 23. Is u a multiple of 6? False Is 224/((32/104)/2) a multiple of 13? True Let b be (-11)/3*18/(-6). Let m(r) = -3*r - 3*r**3 + b - 10 + 15 + 12*r**2 + 4*r**3. Is m(-12) a multiple of 13? True Is 25 a factor of 1634*(7 - 16)/(-9)? False Is 6 a factor of (-2)/(-5) - (-14 - 13256/10)? False Suppose 4*y = -19*y + 6187. Does 5 divide y? False Let y be -2 + -2 + (0 - -9). Let v(r) = 6*r + 70. Let f be v(-7). Suppose -y*l = -f - 27. Is l a multiple of 3? False Suppose 0 = -3*b - 13 + 253. Suppose 2*f - b = 56. Is 7 a factor of f? False Let v be (-5)/(25/(-255)) + 3. Suppose -4*o = -t + 207, o + v + 332 = 2*t. Is t a multiple of 32? False Let k be 12*((-2)/12 + 5/12). Suppose -k*r + 13 = -26. Does 13 divide r? True Let y(s) = 52*s. Let o be y(2). Let a be -1*(6 - 3) - o. Let k = a + 180. Is 14 a factor of k? False Suppose 28 = 3*c + 7. Suppose 4*k - c = 9. Suppose k*b = 132 + 16. Does 27 divide b? False Let s(j) = 2*j**2 - 9*j + 11. Let v be s(5). Suppose -12*d + v*d - 352 = 0. Suppose 0 = -4*q + 4*w + d, -w - 14 = -q - 4*w. Is q a multiple of 5? True Suppose 3*x + 0 = -z + 1, 2*z + 12 = x. Suppose 2*i = -x*i + 16, 0 = -5*h - 5*i + 400. Does 12 divide h? False Let c(u) = -18*u - 3. Let m(a) = -a. Let o(r) = -c(r) + 6*m(r). Let z = -15 + 19. Does 10 divide o(z)? False Let f(y) = -139*y - 112. Does 13 divide f(-7)? False Let m be ((-8)/(-20))/((-1)/(-5)). Let r(k) = 11*k**3 + 4*k**2 - 2*k - 2. Let n be r(m). Suppose n = 5*y - 2. Is y a multiple of 19? False Does 19 divide (-29184)/144*(-36)/3? True Suppose 0 = -3*b + 2*b + 5*c + 155, 2*c = b - 155. Does 19 divide b? False Suppose 4*f - 4800 = -3*o, 3*o + 73 = f + 4873. Does 114 divide o? False Suppose 116 = 3*u - 37. Does 17 divide u? True Let z(m) = m**3 + 7*m**2 - m - 6. Let n be z(-7). Let t(w) = 6*w - 2. Let v be t(n). Suppose -46 = -v*s + 14. Does 11 divide s? False Suppose 786 = -u - 2*u. Let q = u + 181. Let k = 138 + q. Does 24 divide k? False Let l = -75 - -86. Suppose -4*b - 8 = -80. Is 15 a factor of b*(l/3 - 2)? True Let c be (-2 + 1)/((-15)/(-135)). Does 4 divide (-70)/(-6) + (24/c - -3)? True Is (-3)/(((-42)/72)/7) even? True Suppose 3*r - 25 = -2*r. Suppose r*o + 4*v = 31, -5*o - 5 = 3*v - 32. Is 3 a factor of o? True Let g(k) = 12*k**3 - 4*k**2 + k + 1. Suppose 0 = h - 4*h + 4*r + 26, 5 = -r. Is 11 a factor of g(h)? False Let u(r) = 88*r**2 - 3*r + 1. Suppose -3*f + 6 = c, -4*f + 5*c - 10 - 1 = 0. Does 8 divide u(f)? False Let z = -46 + -12. Let k = z - -94. Is k a multiple of 2? True Let j = -2237 - -3240. Is 17 a factor of j? True Let w be 9/12 - (-14)/(-8). Let h be (-2 + 1)/(1 - 2). Does 4 divide 2 + 20/(h - w)? True Let g be (-2)/(-4)*(-6 - -6). Suppose g = 4*z, 3*n = z - 41 + 695. Is n a multiple of 38? False Suppose -v + 3 = -s, 8*s + 9 = 3*v + 4*s. Suppose -v*r = -r - 312. Suppose 0*g + r = 3*g. Does 16 divide g? False Let m(v) = -209*v + 152. Is 57 a factor of m(-5)? True Suppose 6*j - j = -2*l + 17, 0 = -5*l - 5*j + 35. Suppose -5*g + i = -5, 10 = -l*g + 3*g - 2*i. Suppose 235 = -g*r + 5*r. Does 14 divide r? False Let x(u) = u**2 - 3*u - 4. Let h be x(4). Suppose h = -3*a - a. Suppose a = -5*z - 0*z + 70. Is 6 a factor of z? False Suppose 3*s + 33 + 207 = 0. Let b be s/(-28)*14/4. Does 24 divide ((-48)/b)/(2/(-10))? True Suppose 15*f = 22*f - 15491. Is f a multiple of 43? False Let a be 5/2*(-5 - 49/(-5)). Suppose a*f - 8*f - 224 = 0. Is f a multiple of 8? True Is (8 - 108/18)/(2/364) a multiple of 26? True Let a be 1 - 1/(4/(-12)). Suppose -5*z + 239 = 4*o, -30 = -z - a*o + 5. Suppose -z = -x + 3*s, -3*s = -4*x - 2*s + 237. Does 20 divide x? True Suppose 2*c - 728 = -4*z, -6*z = 4*c - 11*z - 1495. Is c a multiple of 37? True Suppose -10*j = -751 - 2049. Is j a multiple of 28? True Suppose 4*v - v - 250 = -2*d, -2*v + 3*d = -158. Does 14 divide 18/27 + v/3? True Let z(l) = -2*l**2 - 4*l + 5. Let m be z(0). Suppose -p + 2*y = -137 - 187, 0 = 2*p + m*y - 648. Does 18 divide p? True Let j(y) be the first derivative of -y**2/2 + 2*y - 13. Let l be j(2). Suppose l*b = 3*b - 135. Does 9 divide b? True Suppose l + 1 - 22 = 0. Does 3 divide l? True Suppose -621 = -s + a, -3*s + 1884 = -2*a + 6*a. Is s a multiple of 26? True Let i(r) = 3*r**3 - 17*r**2 - 21*r + 8. Is i(7) a multiple of 9? False Let k be ((-35)/168)/(1/(-4))*6. Suppose -73 = -k*j + 167. Is j a multiple of 5? False Suppose -6*x = -11*x + 470. Suppose 5*q = 161 + x. Suppose 3*w = 5*r - q, -r - 5*w + 4 = 5. Is r a multiple of 9? True Let t(h) = -2*h - 1. Let x be t(-4). Suppose 12*v - 880 = x*v. Suppose 5*u = u + v. Is 12 a factor of u? False Suppose -28*u = -30*u + 54. Suppose -28*a + u*a + 56 = 0. Is 28 a factor of a? True Let r(d) = -d**3 - 9*d**2 - 10*d - 21. Let k be r(-9). Let c = 10 + k. Is 14 a factor of c? False Let x(h) = 20*h**2 + 68*h - 17. Does 14 divide x(-7)? False Let c be (15/2)/(2/4). Let m = c + -8. Is 17 a factor of 34/(-4)*(-28)/m? True Let p(f) = 23*f**2 + 7*f + 13. Is 30 a factor of p(-4)? False Let s be ((-1552)/(-20))/(27/(-15) - -2). Suppose -s = -8*f - 4. Does 23 divide f? False Suppose -c - 8 = 2*c - 4*y, 5*y = 2*c + 17. Suppose -c*r = -1 + 5. Is (r - -2)/((-2)/(-28)) a multiple of 7? True Suppose 0*k - 4*k + 1652 = -4*x, 5*k - 2*x = 2056. Is k a multiple of 26? False Does 47 divide (-8319)/(-59)*(40/(-6))/(-2)? True Let o(r) = 162*r**2 + 66*r + 134. Is 65 a factor of o(-2)? True Let d = -7 - -11. Suppose 2*g + 76 = -3*g + d*i, 3*i = 12. Is (-97)/(-4) + 3/g a multiple of 9? False Suppose -201 = -a - 5*i + 526, 4*i - 732 = -a. Is 16 a factor of a? True Is 458*(-3)/(-2) + (-16 - -9) a multiple of 3? False Let c = -226 - -586. Does 12 divide c? True Suppose s = -4*s - 0*s. Suppose s = -k + 126 + 36. Is k a multiple of 15? False Let z(i) = -i - 1. Let r be (-3 + 1)*15/6. Let t be z(r). Is 392/16 + (-6)/t a multiple of 3? False Let b = 95 - -1592. Is b a multiple of 17? False Suppose 0 = -2*w + 4*w + 30. Let z = w - -20. Suppose 8 = u - 0*u - z*j, 0 = -4*u + 4*j + 32. Is u a multiple of 3? False Let r(x) = 5*x**2 + 3*x - 21. Is r(4) a multiple of 2? False Let r = -27 - 21. Let j be (-536)/r + 2/(-12). Does 20 divide j/(22/84) + -2? True Let o(u) = 2*u**2 + 12*u + 3. Let m be o(-6). Does 9 divide (-262)/(-6) + 4/m? True Let n(f) = -14*f - 22. Let j(m) = -13*m - 22. Let v(h) = -5*j(h) + 4*n(h). Does 17 divide v(7)? True Let y = -1 + 4. Does 11 divide (2/y)/(30/1215)? False Suppose 5*d - 4*h - 69 = 0, -4*d - h + 0*h = -72. Let g = d - 17. Suppose 76 = 2*q - g*q. Is 8 a factor of q? False Suppose -53 + 1241 = 6*j.
{ "pile_set_name": "DM Mathematics" }
r a composite number? True Let q = 90 + -164. Let f = -148 - q. Is f/4*(-3 + 1) prime? True Is 327 - (4 + -4 - 4) a prime number? True Suppose 2*f = -2*n + 40, 0 = 3*n + 5*f - 19 - 37. Is n prime? False Suppose -t - 9 = -o, -o + 4*t + 11 = -2*o. Suppose 0 = -5*p - o*b + 121 + 109, 144 = 3*p - 3*b. Is p a prime number? True Let z = 9238 - 4535. Is z a composite number? False Let m(x) = -x**3 + x**2 + x + 129. Let a be m(0). Let n = a + -82. Is n a prime number? True Let q = -59 - -133. Suppose 2*n + 2*t - 36 = 0, 0*n - 3*n = -t - q. Is n a prime number? True Suppose -o + 2 = l + 9, -4*l = -4*o - 12. Let j = l - -4. Let z(q) = 35*q - 3. Is z(j) composite? False Suppose 634 = 3*x - x. Suppose 0 = -4*v - 2*u + 7*u + 667, 2*v + 3*u - x = 0. Is v a composite number? False Suppose 5*d - 5 = -5*o, 2*d - 7*d - 4 = 2*o. Suppose 3*g = -2*c, g = 5*c - o*c. Suppose c*h - 422 = -2*h. Is h composite? False Let m be 3 - (2 + 0)*-8. Suppose c = 2*c - m. Is c composite? False Is ((-5845)/(-10))/(1 - 2/4) a composite number? True Is 636 + ((-8)/(-2))/(-4) composite? True Suppose -5*m + 3*m = 4*c - 2446, c = 2*m + 604. Suppose -c = -h - h. Suppose 3*b + 18 - h = k, k = 4*b - 384. Is b a composite number? False Suppose 4*j = 3547 - 399. Is j a composite number? False Suppose -4*h + 248 = -296. Suppose -h = -4*k + 84. Is k composite? True Let c = 270 - 155. Let w = c - 69. Is w composite? True Let t be ((-366)/7)/(7/(-49)). Suppose q = -2*q + t. Is q a composite number? True Let z = -2 - -4. Suppose -i - i - z*w = 6, 13 = i - 3*w. Is (i*66)/2 - 0 a prime number? False Is (-1)/3 + (-1482)/(-18) a composite number? True Let q(o) = -o**3 + 15*o**2 - 5*o + 5. Is q(8) composite? True Let w be (-4)/(-10)*(3 + 2). Suppose 3*k = -a + 64, k + 122 = w*a + 5*k. Is a prime? False Suppose -4*k + 535 = -k - m, 0 = 3*k + 2*m - 523. Is k prime? False Suppose w - 47 = -w - p, -2*p + 70 = 3*w. Let z = 61 - w. Is z prime? True Suppose -5*z + 3*q + 7 = 7*q, 4*q = -8. Let c = z + 179. Suppose -k - k + c = 0. Is k composite? True Let i(g) = -g**2 + 8*g. Let k be i(8). Suppose 2*u - 4*w = 510, u = -k*u + 4*w + 245. Suppose 4*c = -0*c + 4*z + 372, -3*c = 4*z - u. Is c prime? False Let g be 5/(-3)*(-9)/3. Suppose 5*b - 27 - 33 = -g*r, 5*r + 36 = 3*b. Is (2 - 0)*186/b prime? True Suppose 10*v = 15*v - 1585. Is v a composite number? False Let l be -4*((-50)/8)/5. Let i be (2 + 3)*4/l. Suppose -i*u + 95 = -201. Is u a composite number? True Suppose -v = -5, 0 = 4*x - v - 3. Is 162 + (-3)/(-1) - x composite? False Suppose j + 4*j - 2*f = 6299, -j - 4*f = -1251. Is j a composite number? False Is (-446)/3*(-6)/4 composite? False Is 447 + (1 - 1 - -2)*-1 composite? True Let j = -6 + 10. Suppose -2*b + j*q - 10 = 0, -3*q = 4*b - 29 + 5. Suppose -2*v + c = -322, -5*c - 701 + 218 = -b*v. Is v composite? True Let b = 91 - 38. Is b a prime number? True Let w = 462 - 313. Is w a prime number? True Let y = 22 + -15. Suppose 8*l - y*l - 161 = 0. Is l composite? True Suppose -6*d + 615 = -3*d. Is d a composite number? True Suppose 3*c + 16 = 7*c. Suppose -2*d + 162 = -2*p, d + 18 - 109 = -c*p. Is d composite? False Let m(s) = -86*s + 17. Is m(-10) a composite number? False Let j(h) be the second derivative of -1/10*h**5 + 0 + 5/2*h**2 - h**3 - 2/3*h**4 - 2*h. Is j(-6) a composite number? True Suppose 3*z - 11 + 32 = v, 5*z + 4*v = -18. Let b = 10 + z. Suppose -b*i = -u - 55, -2*u + 0*u = -4*i + 50. Is i composite? True Let q(w) = 255*w**2 - 13*w - 1. Is q(-3) prime? True Let g(q) = -4*q - 2. Let k be (-6)/(-5)*10/4. Let p be (k/4)/((-2)/8). Is g(p) a composite number? True Let z = -1 + 3. Suppose z = -t, -3*t - 2*t = 2*s - 144. Is s prime? False Is 36/(-54)*3318/(-4) a composite number? True Suppose -5*b = x + x + 17, -13 = x + 4*b. Let d be x/(-1) + (6 - 4). Suppose -d*n + 284 = n. Is n prime? True Let c = -1 - -3. Suppose 0*q = -c*q + 10. Suppose -q*l + 6*z + 386 = 3*z, 0 = l + 2*z - 85. Is l composite? False Suppose -9*s + 4*s = 0. Suppose -2*o - 3*o + 3660 = s. Suppose -o - 171 = -3*a. Is a a prime number? False Let h(j) = -j**3 + 3*j**2 - 8*j - 7. Is h(-5) a composite number? False Let l(z) be the second derivative of -4*z**3 + z**2 - 4*z. Let r be l(-2). Let o = r - -27. Is o a prime number? False Let k = 80 + 123. Is k a composite number? True Let w(u) = -u**3 + 4*u**2 - 4*u - 1. Let v be w(3). Let x(c) = c. Let s be x(v). Is -1*2 + (45 - s) a prime number? True Suppose 0 = -p + 2*p + 5*s + 127, -4*p = 4*s + 460. Let u be (-1)/(-1)*(-2 + 199). Let j = u + p. Is j a composite number? True Let a = 107 - 63. Suppose -4*x + 92 = -0*x. Let r = a - x. Is r a composite number? True Suppose 13 = 2*c + l - 0*l, 26 = 5*c - 4*l. Suppose -3*b + 3 = -c. Suppose 0 = -5*n + b*q + 47, -q = 3*n - 31. Is n a prime number? False Suppose 3*w + 6 = 2*y - y, 3*w + 6 = 5*y. Let t(d) = -d**3 - 2*d**2 - 2*d - 2. Let s be t(-2). Suppose -z + s*z - 7 = y. Is z a composite number? False Let y be -3*8/2 + 2. Is (-206)/(-3) - y/30 composite? True Suppose -14 + 5 = -3*i. Suppose -10 = x - i*x. Suppose x*y - 23 = 47. Is y composite? True Let k(m) = 3*m**2 - 6*m + 2. Is k(9) a composite number? False Suppose -2*i + 37 + 81 = 0. Is i composite? False Let q(w) be the first derivative of -3*w**4/4 + w**3/3 - w**2/2 - w + 3. Let o be q(-1). Suppose 168 = o*g - 0*l + 5*l, 128 = 4*g - 5*l. Is g composite? False Suppose 3*s + 3*w = -18, 0 = 4*s + 3*w + 8 + 11. Is -3 - s - (-20 - 1) a prime number? True Let p(o) be the third derivative of o**5/60 + o**4/8 + 19*o**3/6 - 4*o**2. Is p(-13) composite? False Suppose m - 1255 = -3*d, 4*d - 1899 + 221 = m. Is d prime? True Let w = 2 - 4. Is 195/9 - w/(-3) prime? False Let p(q) = -459*q + 31. Is p(-6) a prime number? False Let k = 614 + -396. Is k prime? False Let b(l) = 5*l**2 - 13*l - 1. Let m(v) = -4*v**2 + 12*v + 2. Let i(z) = 5*b(z) + 6*m(z). Let k = -27 + 20. Is i(k) a composite number? False Let b be (21/3)/((-2)/(-2)). Suppose -42 = -w - b. Is w a composite number? True Let f = 6 + -2. Suppose -91 = -2*i + 11. Suppose f*m = -11 + i. Is m a composite number? True Let b(m) = 6 - 5 - 2*m + 4. Let p be b(5). Is -1 - (1 + 11*p) composite? False Suppose 3*o = o - 4*w + 486, -5*o + 3*w = -1267. Is o composite? False Let d = 11 - 8. Suppose 2*m - 79 = -h - d*m, h - 3*m = 95. Is h a composite number? False Let p(n) = n**2 + n + 1. Suppose 3*j + 4*m = -19, j + 4*m + 2 = -7. Is p(j) a prime number? False Let z be (-3 - -2)/1 - 2. Let v(u) = 12*u**2 - 10*u**2 - u + 5*u. Is v(z) prime? False Let d = 6063 - 4077. Let i be d/(-8) + (-4)/(-16). Let r = i + 471. Is r composite? False Suppose -3*y + 3141 = 2*p, y - 1048 = -0*y - p. Suppose 5*f = -0*f + 2*m + y, 2*m + 834 = 4*f. Is f composite? False Suppose -3*z + 0*z = 0. Is (-4)/12*-1257 - z composite? False Suppose -6*w + 15 = -3*w + 3*r, -w - 5*r + 5 = 0. Suppose -29 = -k - w*s, s = -2*k + 4*k - 36. Is 3*1/3*k a prime number? True Is 89/(-2)*(-1 - 1) prime? True Let o(v) = 3*v**2 - 4*v - 6. Let l(i) = -7*i**2 + 9*i + 12. Let r(f) = -4*l(f) - 9*o(f). Is r(5) a composite number? False Let g be (-5)/(3/24*-2). Suppose 5*r = -g, -5*s - 3*r + 8 = -0*r. Suppose 0*x - 221 = -s*a - x, 2*x = a - 53. Is a a composite number? True Suppose -27220 = -28*f + 8*f. Is f a prime number? True Suppose 0 = 2*q + 3*s - 213, -q + s = -2*q + 104. Suppose -5*c + b + 377 = 0, 5*b = 3*c - q - 114. Suppose 5*i - c = i. Is i composite? False Is (5877/12)/((-15)/(-100)) a prime number? False Let p be (0 - 2) + (4 - 1). Suppose -5*k = -4 - p. Suppose k = y - 18. Is y prime? True Let h be (-6)/12 + (-54)/4. Let d be (h + 4)*5/(-2). Suppose 4*w - 5*o - d = 0, -5*w - 2*o = -o - 53. Is w prime? False Suppose -103 = -5*o + 2. Is o prime? False Let z = 174 + -52. Suppose 0 = 4*n - z - 10. Suppose 5*s - n - 77 = 0. Is s a composite number? True Let u be (-2577)/(-21) - 2/(-7). Suppose -761 = -4*m + u. Is m a prime number? False Is -29*10*(4 + 36/(-8)) a composite number? True Let a be (-223)/2 - 1/2. Is (-6)/(-9) + a/(-12) composite? True Suppose 734 + 921 = 5*o. Is o composite? False Suppose 4*i - 3*l = 1531, 5*i + 5*l - 1870 = -0*i. Suppose -6*q + 1089 = -3*q - 3*h, i = q + 3*h. Is q composite? False Let y(q) = -7 + q**2 + 2 - 5*q + 2. Let g be y(6). Is (-1)/3 + 208/g a prime numbe
{ "pile_set_name": "DM Mathematics" }
5 of a century in years? 120 What is 7/4 of a hour in seconds? 6300 What is 0.4787389ml in litres? 0.0004787389 What is 0.3340754 millilitres in litres? 0.0003340754 Convert 0.7678385 decades to centuries. 0.07678385 How many milligrams are there in 11/10 of a gram? 1100 Convert 12.69751l to millilitres. 12697.51 What is 620.4116 kilometers in centimeters? 62041160 How many years are there in 32/5 of a decade? 64 Convert 9.968467 weeks to nanoseconds. 6028928841600000 What is 1/10 of a litre in millilitres? 100 What is 0.6889634 seconds in microseconds? 688963.4 What is three tenths of a millisecond in microseconds? 300 What is fifty-nine quarters of a day in minutes? 21240 How many millilitres are there in seven quarters of a litre? 1750 How many grams are there in fourty-four fifths of a kilogram? 8800 How many minutes are there in seventy-six fifths of a day? 21888 Convert 5173.326ug to kilograms. 0.000005173326 What is twenty-seven fifths of a century in decades? 54 How many micrometers are there in 5/4 of a centimeter? 12500 Convert 44.13956 meters to kilometers. 0.04413956 Convert 303.1932 millennia to centuries. 3031.932 How many years are there in one quarter of a millennium? 250 What is 3/25 of a tonne in kilograms? 120 How many grams are there in 5/8 of a kilogram? 625 How many centimeters are there in 1.53307mm? 0.153307 How many millilitres are there in 13/8 of a litre? 1625 What is 9.965932 millilitres in litres? 0.009965932 How many millilitres are there in nineteen quarters of a litre? 4750 How many millilitres are there in twenty-seven halves of a litre? 13500 What is 722218.5 litres in millilitres? 722218500 How many milliseconds are there in eighty-nine halves of a second? 44500 How many grams are there in 49/5 of a kilogram? 9800 What is one quarter of a millennium in years? 250 How many millimeters are there in fifty-nine fifths of a centimeter? 118 How many decades are there in 5.704062 millennia? 570.4062 How many centimeters are there in fifteen quarters of a meter? 375 What is 13/8 of a millennium in years? 1625 How many milligrams are there in seven quarters of a gram? 1750 What is 3.77986m in kilometers? 0.00377986 How many millilitres are there in three eighths of a litre? 375 Convert 1.158888 weeks to nanoseconds. 700895462400000 How many months are there in eleven quarters of a year? 33 How many days are there in 524.0595 hours? 21.8358125 What is 7/2 of a millennium in centuries? 35 What is 11/2 of a meter in millimeters? 5500 What is 825387.5 kilometers in meters? 825387500 What is 247205.3m in kilometers? 247.2053 What is fifty-one quarters of a millimeter in micrometers? 12750 Convert 1510.3137 seconds to minutes. 25.171895 What is twenty-five quarters of a tonne in kilograms? 6250 What is 1/4 of a micrometer in nanometers? 250 How many nanometers are there in seven halves of a micrometer? 3500 How many millilitres are there in 797.1991l? 797199.1 How many nanoseconds are there in one quarter of a microsecond? 250 How many grams are there in one quarter of a kilogram? 250 What is 6179.721 months in millennia? 0.51497675 What is 87/5 of a litre in millilitres? 17400 Convert 11.9415 decades to months. 1432.98 What is 66727.6 millimeters in kilometers? 0.0667276 Convert 66367.71 microseconds to milliseconds. 66.36771 How many seconds are there in 0.6990134ms? 0.0006990134 How many millilitres are there in 24.21821 litres? 24218.21 What is 0.439287 centuries in millennia? 0.0439287 What is 2.181095mg in grams? 0.002181095 How many nanoseconds are there in 37386.84 days? 3230222976000000000 What is 8141.817 months in years? 678.48475 What is thirty-two fifths of a century in years? 640 What is 211.93761 months in years? 17.6614675 How many millilitres are there in seven quarters of a litre? 1750 What is 1.21865 years in decades? 0.121865 How many milliseconds are there in 59/4 of a second? 14750 How many months are there in seven halves of a millennium? 42000 What is 3/5 of a hour in minutes? 36 What is 26/5 of a decade in months? 624 How many seconds are there in one ninth of a day? 9600 How many millilitres are there in 2718.36l? 2718360 How many nanograms are there in 0.1508193mg? 150819.3 How many millimeters are there in 990426.8 centimeters? 9904268 How many millilitres are there in thirty-seven halves of a litre? 18500 How many years are there in seventeen tenths of a decade? 17 What is thirteen quarters of a century in months? 3900 What is 500854.4ml in litres? 500.8544 How many years are there in 1/5 of a decade? 2 Convert 18.8434404s to days. 0.000218095375 Convert 791.5167 litres to millilitres. 791516.7 How many kilograms are there in 89/2 of a tonne? 44500 What is three eighths of a kilogram in grams? 375 Convert 4.226828 millimeters to micrometers. 4226.828 How many millilitres are there in 3/10 of a litre? 300 What is 77946.33km in micrometers? 77946330000000 What is 33.9143ml in litres? 0.0339143 Convert 95581.9 millilitres to litres. 95.5819 What is seventy-one thirds of a week in hours? 3976 What is three fifths of a day in seconds? 51840 How many tonnes are there in 11.90497kg? 0.01190497 What is thirty-one halves of a gram in milligrams? 15500 How many centimeters are there in one quarter of a kilometer? 25000 Convert 1320.903 years to centuries. 13.20903 Convert 9.654836 tonnes to grams. 9654836 What is 9155.227 grams in micrograms? 9155227000 What is 7.48633 millilitres in litres? 0.00748633 Convert 8132.38 millilitres to litres. 8.13238 What is 18/5 of a litre in millilitres? 3600 How many years are there in 6/25 of a century? 24 Convert 0.7139671 days to nanoseconds. 61686757440000 What is one tenth of a litre in millilitres? 100 What is 0.2890914 nanometers in meters? 0.0000000002890914 How many micrograms are there in 2830.89kg? 2830890000000 Convert 2281.161m to micrometers. 2281161000 How many millennia are there in 0.6726737 years? 0.0006726737 How many nanoseconds are there in 7.547151 hours? 27169743600000 What is 48/5 of a litre in millilitres? 9600 What is 0.8726659 micrometers in nanometers? 872.6659 How many months are there in 13/8 of a century? 1950 Convert 910968.1 nanometers to kilometers. 0.0000009109681 How many micrograms are there in 87/2 of a milligram? 43500 How many months are there in 37/2 of a decade? 2220 What is 12/25 of a milligram in micrograms? 480 What is thirty sevenths of a week in hours? 720 How many litres are there in 400873.7 millilitres? 400.8737 What is 48/5 of a centimeter in micrometers? 96000 How many kilograms are there in 3/50 of a tonne? 60 How many months are there in 7/3 of a year? 28 How many nanograms are there in 1/80 of a milligram? 12500 How many millimeters are there in 90.12078 micrometers? 0.09012078 How many nanograms are there in 9/10 of a microgram? 900 What is 44176.8 millennia in decades? 4417680 What is 216.98577us in hours? 0.000000060273825 What is 1/4 of a millennium in months? 3000 How many centimeters are there in 628828.4 micrometers? 62.88284 Convert 0.62143 micrometers to nanometers. 621.43 What is seventy-five halves of a kilogram in grams? 37500 What is fourty-nine quarters of a gram in milligrams? 12250 Convert 0.7663154 millilitres to litres. 0.0007663154 What is 0.1200423 weeks in nanoseconds? 72601583040000 What is one quarter of a week in hours? 42 Convert 0.312039 centuries to years. 31.2039 Convert 9296.949 milligrams to tonnes. 0.000009296949 What is 2/125 of a gram in milligrams? 16 What is 4.847849 centuries in months? 5817.4188 How many micrometers are there in 3.612135mm? 3612.135 Convert 4.398884l to millilitres. 4398.884 What is twenty-nine halves of a meter in centimeters? 1450 What is 0.7256379 micrometers in kilometers? 0.0000000007256379 What is 11/4 of a second in milliseconds? 2750 What is 4.861756ml in litres? 0.004861756 Convert 0.930036ml to litres. 0.000930036 Convert 36464.175 minutes to days. 25.32234375 What is 511.6868 milligrams in micrograms? 511686.8 How many millilitres are there in 61/2 of a litre? 30500 Convert 547.3666 grams to micrograms. 547366600 How many micrograms are there in 3/8 of a milligram? 375 What is 5/24 of a week in minutes? 2100 Convert 4.775574 hours to milliseconds.
{ "pile_set_name": "DM Mathematics" }
-4 (c) 4101 a Which is the third smallest value? (a) -0.0469 (b) 1/4 (c) 1 (d) -0.36 b What is the fourth biggest value in 7/3, -0.5, -3/44, -1/5, 0.19? -1/5 Which is the fourth biggest value? (a) 4/5 (b) -1/8 (c) -479 (d) 7 c Which is the biggest value? (a) -4/3 (b) 0.4 (c) -4142 (d) 0.3 (e) -1/8 b Which is the biggest value? (a) 2 (b) -249 (c) 70 (d) 1 (e) 0 c Which is the fifth smallest value? (a) 3 (b) -2.7 (c) -610 (d) -0.3 (e) -4 a Which is the fourth smallest value? (a) -2 (b) 0.263 (c) -1/6 (d) 0.2 b Which is the fifth smallest value? (a) -0.03 (b) 28 (c) -2/19 (d) -3 (e) 0.3 (f) -4 e What is the fifth smallest value in 43, -3/2, 2/3, -62, -5, -3? 2/3 What is the biggest value in -319, 2/7, 6, 5? 6 Which is the fifth smallest value? (a) -1 (b) 53 (c) -0.4 (d) -1/5 (e) -1/11 (f) 55 b Which is the second biggest value? (a) -12 (b) 2/5 (c) -3/8 (d) -103 c What is the biggest value in -33/13, 85, -3? 85 Which is the smallest value? (a) 2 (b) -5 (c) -2 (d) -3 (e) 10/1467 b What is the third smallest value in 25, 2, -8/9, -0.01, -5? -0.01 What is the second biggest value in 1/184, 3, -5, 9? 3 Which is the second biggest value? (a) 180 (b) 0 (c) -2/85 b Which is the third biggest value? (a) -5 (b) 0.1 (c) -6 (d) -115 (e) 6 a What is the third smallest value in -0.5, 0.05, 2/27, 0.2, -0.04? 0.05 Which is the biggest value? (a) -5/3 (b) -0.4 (c) -305.3 (d) 0.37 d What is the biggest value in 4/5, -2/2093, 1/46, 3, -2/5, -3/4? 3 What is the sixth smallest value in -2, -153, -4, 38/11, 0, -3? 38/11 What is the second biggest value in 1.4923, -1, 0.07? 0.07 What is the second biggest value in 1/4, 5/2, -16, 5, -1, 41? 5 Which is the smallest value? (a) 7685 (b) 1.8 (c) 0.5 c Which is the fourth biggest value? (a) 2/11 (b) -0.3 (c) 3 (d) -12.676 (e) 7/5 b Which is the biggest value? (a) -0.0846009 (b) -0.3 (c) -1/2 a Which is the third biggest value? (a) -3/4 (b) 14 (c) -0.16 a What is the third smallest value in 12, -45, -1/322? 12 What is the second biggest value in -0.2, -6, 18, 4, 0.07, 0? 4 What is the biggest value in 3, -105/26, 41? 41 What is the second smallest value in 4, -4, -783, 0.08, 0.3? -4 Which is the smallest value? (a) 17 (b) -0.5 (c) 2 (d) 4 (e) 36 b Which is the second biggest value? (a) -283 (b) -71 (c) -2 (d) -15 d What is the smallest value in 0.2, 1, 3, 50, 106? 0.2 Which is the fourth smallest value? (a) 4 (b) 0.2 (c) 5/2 (d) -0.2 (e) 12595 a Which is the third smallest value? (a) 4959.6 (b) 0.5 (c) 2/17 a Which is the third smallest value? (a) -2 (b) -68 (c) 4 (d) 13 (e) -2/13 e Which is the smallest value? (a) 0.7 (b) -5.5 (c) -4 (d) -40 (e) 0.2 d What is the fourth biggest value in 0.4, -41, 3.5, 1/5? -41 Which is the fourth smallest value? (a) -3/8 (b) 2/99 (c) 3 (d) -1.4 c What is the fourth biggest value in -46, 42, -2, 0.4, 0.08? -2 What is the smallest value in 3977/26, 1/3, -0.2? -0.2 Which is the third smallest value? (a) -18059 (b) -1 (c) -1/3 c Which is the third smallest value? (a) 299 (b) -17 (c) -1 a Which is the biggest value? (a) 229 (b) -12 (c) 1/7 a Which is the second smallest value? (a) -903 (b) -2/77 (c) 2/7 (d) -3 d Which is the second smallest value? (a) 0.5 (b) -1777526 (c) -4/7 c Which is the second biggest value? (a) 121 (b) 151.1 (c) -0.04 a Which is the fifth smallest value? (a) -2 (b) 2 (c) -32.2 (d) -6 (e) 47 e Which is the third smallest value? (a) 0.4 (b) 34 (c) -132 (d) 1/5 a Which is the second smallest value? (a) 1996 (b) 18 (c) -0.3 b What is the biggest value in 5, -7784, 2? 5 Which is the third biggest value? (a) 210 (b) -0.3 (c) -228 (d) -5 (e) -2/7 (f) 2/9 e Which is the biggest value? (a) -3/4 (b) 2/5 (c) 3 (d) 12/5 c What is the biggest value in 1343, 5, 0.3, 2/13? 1343 Which is the second smallest value? (a) 1/10 (b) 2/7191 (c) -5/4 b Which is the second smallest value? (a) 0.5 (b) 0.12 (c) 58 a What is the second smallest value in 1/5, -0.18, -61, 1, -5, -1? -5 Which is the third smallest value? (a) 0.7 (b) -17 (c) -26/7 a What is the third smallest value in -7, 189, 5/13? 189 Which is the fifth biggest value? (a) 0.079 (b) -0.3 (c) 5 (d) -1/5 (e) -0.64 e Which is the fourth smallest value? (a) -5 (b) 0.3 (c) 2/5 (d) 200 (e) -1/6 c What is the second smallest value in -104.565, -0.1, 5/3? -0.1 What is the fifth biggest value in -1, -5, 0.069, 425, -2? -5 What is the sixth biggest value in -9, 6, -1/4, -5, 1, -3? -9 What is the fifth biggest value in -1, 1/140, -0.4, -3, 2, -1.6? -1.6 Which is the second biggest value? (a) -5/6 (b) -0.08 (c) -17 a Which is the biggest value? (a) -15/52 (b) -301 (c) -3/4 a Which is the smallest value? (a) -643 (b) 0.2 (c) -1 (d) -1/2 a Which is the fourth smallest value? (a) -82 (b) -4/3 (c) 0.1 (d) -22 c Which is the fifth smallest value? (a) 0 (b) -3 (c) 0.2 (d) -147 (e) 2/7 (f) 65 e What is the third smallest value in 1, -3, -4, -2/931? -2/931 What is the fifth biggest value in 3, -0.2, -2, 6, 33? -2 Which is the second smallest value? (a) 3/17 (b) -10/41 (c) -0.004 c Which is the smallest value? (a) -0.6 (b) 1/3 (c) -161874 c What is the third smallest value in 0.98, -15, 6? 6 What is the third smallest value in 5, 4, 4068? 4068 What is the smallest value in -2/23, -23371, -0.2, -0.5, 3, -0.1? -23371 Which is the smallest value? (a) 73.3 (b) 4 (c) 0 (d) 5 c What is the biggest value in 4, 3/2279, 1/6, -0.03, -5? 4 Which is the smallest value? (a) -0.4 (b) 1 (c) -2/825 a Which is the biggest value? (a) 4 (b) 1 (c) 1/2 (d) -0.3 (e) 15 (f) -2174 e What is the third biggest value in -1/6, 0.26, 3354? -1/6 Which is the smallest value? (a) -1/7 (b) 1 (c) -1 (d) 52 (e) -204 e Which is the biggest value? (a) 3/4 (b) -250/7 (c) -0.5 (d) 4 (e) -1 (f) -0.3 d What is the fifth smallest value in 91, -2/9, -0.4, -4/5, -35, 0? 0 What is the second biggest value in 5, 0.336, 93, -3? 5 Which is the second biggest value? (a) -3 (b) -2 (c) 4.59 (d) 2/45 d Which is the fifth biggest value? (a) -3 (b) -0.054 (c) 0.5 (d) -2 (e) 4/9 a Which is the smallest value? (a) -3 (b) 327 (c) -2/5 (d) 1.11 (e) -4 e What is the biggest value in 2/7, -1/3, 129/8? 129/8 What is the fourth biggest value in 4, 2/3, 0, 2, -5, -89/5? 0 What is the third biggest value in -2, 4/7, 1/59, -1/4, -4, -5.17? -1/4 What is the second biggest value in -0.21951, -0.3, 3/7? -0.21951 What is the second smallest value in 0, -0.07, 5755? 0 Which is the second smallest value? (a) 4/5 (b) -5 (c) -194 (d) -0.05 b What is the fourth smallest value in 2.7, -0.4, 34, -2/13, 0.2? 2.7 Which is the fifth biggest value? (a) 39 (b) 0 (c) 0.5 (d) -3 (e) -0.36 d Which is the biggest value? (a) 3 (b) 444 (c) -2/7 (d) 2/225 b Which is the fourth smallest value? (a) -3/17 (b) 2 (c) 33 (d) -9/7 (e) -0.4 b What is the third biggest value in -5, -5.3, -29, 1.9? -5.3 Which is the fourth smallest value? (a) -2/19 (b) -0.05 (c) -4 (d) 264 (e) 2 (f) -16 b What is the second smallest value in -0.129, 4, 10, -2, 8, -1? -1 Which is the third smallest value? (a) 4/3 (b) 0.172 (c) 3/266 a Which is the second smallest value? (a) -2 (b) -3 (c) -0.1 (d) -7/8 (e) -30 b What is the biggest value in -1.4, 22/19, 1/3, -1, -5? 22/19 What is the third biggest value in 0.2, -0.04, 639? -0.04 Which is the second biggest value? (a) 5 (b) 6/53 (c) -56.9 b What is the third biggest value in 2/7, 4/11, -10.54? -10.54 Which is the second smallest value? (a) 0.1 (b) 3356 (c) 2/11 c Which is the biggest value? (a) 2 (b) -5 (c) -4 (d) -2 (e) -190 a What is the smallest value in -0.4, -2, -0.3, -362, 0.2? -362 Which is the sixth biggest value? (a) -0.07 (b) 0.3 (c) -4 (d) -2 (e) -0.2 (f) 2703 c Which is the second biggest value? (a) 909088 (b) 0 (c) -1/2 b What is the third biggest value in -3, 2/63, -2, 0.09, -0.3, 16? 2/63 Which is the third smallest value? (a) 0.1 (b) -0.566 (c) -2 (d) 5 a What is the third biggest value in -7, -2/5, 3, -1, -54? -1 Which is the third smallest value? (a) -30 (b) 0.3 (c) 0.061 b What is the fourth smallest value in 1.6, 0.
{ "pile_set_name": "DM Mathematics" }
1 - sqrt(243)))**2 - 5*sqrt(15)/(-4*sqrt(12)). 5/81 + 5*sqrt(5)/8 Simplify (1*(1 + (4 + sqrt(72) + 2 - (0 + sqrt(72) + -1 + sqrt(72))) + 4))**2. -144*sqrt(2) + 216 Simplify -1*(-2*((sqrt(153) + 2*sqrt(153))*-1 + -5))**2*-1*-5. -28040 - 1800*sqrt(17) Simplify ((4*(sqrt(7) + -2 + sqrt(7)))**2 - 5*(-3 + sqrt(7))) + 5*5*sqrt(448)*1. 67*sqrt(7) + 527 Simplify (5*(-2 + sqrt(1539) + 3 + sqrt(1539)) + 6*4*sqrt(1539) + -3)**2 + -5. 1224*sqrt(19) + 1779083 Simplify (6*(3 + -4*(sqrt(363)*-5 + -2 + sqrt(363) + sqrt(363) + -2 + sqrt(363) + 0))*-5)**2. 3009600*sqrt(3) + 21233700 Simplify ((-5*sqrt(468)*-1 + sqrt(468))*-1 + 4 - (3*-4*(sqrt(468) + 2) + 3))**2. 1800*sqrt(13) + 17473 Simplify ((sqrt(539) + sqrt(539)*2 + sqrt(539) + 4 - sqrt(539)) + 2*1*sqrt(539) + -2*(-2 + sqrt(539)*1) + 3 + 2)**2. 546*sqrt(11) + 5020 Simplify (5*((sqrt(1584) + 2)*-5 + sqrt(1584) - (sqrt(1584) - (sqrt(1584) + sqrt(1584) + -1*(2 + sqrt(1584)) - sqrt(1584))))*2)**2*1. 144000*sqrt(11) + 3974400 Simplify ((sqrt(143) - (sqrt(143) + sqrt(143)*-3)*-1) + 5*(sqrt(143) + sqrt(143)*1))/(-5*5*sqrt(704)*5). -9*sqrt(13)/1000 Simplify -4*((-5*(sqrt(136) - -3*sqrt(136)) - sqrt(136)) + (-3*sqrt(136) + sqrt(136) - sqrt(136))*1)/((-2*sqrt(88)*-1)/(sqrt(11) - (-2*sqrt(121))/sqrt(11))). 144*sqrt(17) Simplify 4 + 0 + 1 + 5*(2 + sqrt(612))**2*-3*-4. 1440*sqrt(17) + 36965 Simplify 6*sqrt(24)/(sqrt(108)/(-2*sqrt(9)) - sqrt(12)) - sqrt(500)/(sqrt(100)/(sqrt(20)/sqrt(2)) + sqrt(10)). -13*sqrt(2)/2 Simplify ((sqrt(2) - sqrt(18)*5 - sqrt(18)/(sqrt(9) - ((sqrt(9) + sqrt(324) - sqrt(9)) + sqrt(9))))**2 - (-4*(-1 + sqrt(72) - sqrt(72))*1)**2)*6. 6601/3 Simplify -6*(4 + (4 + sqrt(448) + -4*sqrt(448)*2 - -2*(-4 + (sqrt(448) - sqrt(448)*2))))**2. -217728 Simplify -5 + ((sqrt(304) - (sqrt(304) + 2))**2 + -2 - sqrt(304)) + (2*(sqrt(76) - sqrt(76)*-2 - sqrt(76)))/sqrt(4) + 2. -1 Simplify (((sqrt(459) - sqrt(51))*4 - (-2*sqrt(510))/sqrt(10))*-2)/(sqrt(3) + 2*sqrt(243) + sqrt(3) - (sqrt(15)/sqrt(5)*4 - sqrt(3))). -20*sqrt(17)/17 Simplify 2*3*(sqrt(2) - (2 + sqrt(2) + 2))*-2 - -1*(sqrt(4)/(sqrt(14)/sqrt(7)) + sqrt(10)/(sqrt(5)*2)). 3*sqrt(2)/2 + 48 Simplify 5*(((sqrt(220) + (sqrt(220) - (sqrt(220) - sqrt(220)*-2)*5 - sqrt(220)))/(sqrt(396)*1))/(sqrt(12)/sqrt(3)*2*2*3))**2. 1225/1296 Simplify (sqrt(2299) + 4 + sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 2)) - 1*sqrt(2299)*-2)**2 - (5*-1*sqrt(152) - sqrt(152))/(sqrt(72)*-4). 351*sqrt(19)/2 + 36788 Simplify 3*-3*(sqrt(17) + 1 + 4 + (-1*sqrt(204))/sqrt(12) + (sqrt(17) - ((-2*sqrt(612))**2 - sqrt(612))) + -2). -63*sqrt(17) + 22005 Simplify (6*(sqrt(192)*-4*-5*2 + (sqrt(192) + sqrt(192)*-4 + sqrt(192) + 0 + sqrt(192))*-2))**2. 12192768 Simplify -2 + ((-2 + 2 + sqrt(1331))*-5)**2 + ((-3*sqrt(1331)*2)**2 - (sqrt(1331) - (sqrt(1331) + -2 + -5))**2). 81140 Simplify -6*-4*(sqrt(3168) + -2*sqrt(3168))/(sqrt(24)/sqrt(1452) + sqrt(2)). -264*sqrt(11) Simplify -6*(sqrt(364)/sqrt(7)*1 + 1 + sqrt(2548) - (sqrt(416)/(sqrt(56)/sqrt(7)) + sqrt(52) + sqrt(156)/(sqrt(18)/sqrt(6)))). -60*sqrt(13) - 6 Simplify (sqrt(114) - (-6*-2*sqrt(114) + sqrt(114)))/(5*-1*sqrt(6)) + (0 + (sqrt(76) + -1)**2)*3. -48*sqrt(19)/5 + 231 Simplify (-5*sqrt(800)/sqrt(2)*-3)/((1*(sqrt(405) - sqrt(45)))/((sqrt(252)/sqrt(4) + sqrt(63))/sqrt(7))). 60*sqrt(5) Simplify sqrt(288)/sqrt(324)*-4 - (sqrt(10) - (2*sqrt(90) + sqrt(90)))/((sqrt(20) + sqrt(40)/sqrt(2))/sqrt(4)). 4*sqrt(2)/3 Simplify (-4*((5*-1*sqrt(2057) - sqrt(2057)) + ((sqrt(2057) - (sqrt(2057) + -1)) + -3 - sqrt(2057))) + 1 + (-1*sqrt(2057) + -3 - (-5 + sqrt(2057)*2)))**2*-2. -2571492 - 12100*sqrt(17) Simplify (sqrt(275)*2*-4*-3*-6)**2 + ((sqrt(88) - (-3*sqrt(88)*2 - sqrt(88) - sqrt(88))) + sqrt(88))/(sqrt(96)/sqrt(3)). 5*sqrt(11) + 5702400 Simplify -3*(5 + ((-2*-2*sqrt(1872) + sqrt(1872))*3 + -5*(sqrt(1872) - (sqrt(1872)*-1 + sqrt(1872)))*6)**2)*2. -2527230 Simplify ((sqrt(100) - sqrt(100)*2)/sqrt(10) - (sqrt(1000)*3 - sqrt(1000)))/(6*(sqrt(2) - sqrt(4)/sqrt(2)*3 - 1*1*sqrt(2))). 7*sqrt(5)/6 Simplify (sqrt(380)/(sqrt(80)/sqrt(512)))/(2*(sqrt(98) + sqrt(98)*3))*2 + -1. -1 + 2*sqrt(19)/7 Simplify -4*(-1 + -4*((sqrt(700) + 2)*4)**2 + 1*sqrt(700)*2 + ((sqrt(700) + -2 + sqrt(700))*-5 - sqrt(700) - sqrt(700) - sqrt(700))**2). -293372 + 20560*sqrt(7) Simplify (4*(-2 + sqrt(68))*-3 - ((1*sqrt(68)*-6 - sqrt(68)) + sqrt(68) + 1))**2. -552*sqrt(17) + 2977 Simplify (((sqrt(5) + -1 + 0 - (-3 + sqrt(5))*4) + (sqrt(495) - 2*sqrt(495))/(sqrt(88)/(sqrt(8) - 2*sqrt(8))))*4)**2. 1936 Simplify (-4 + sqrt(8)/(2*sqrt(16)) + 5 + 2*sqrt(4608) + 0 + 2)**2. 1155*sqrt(2)/2 + 148297/8 Simplify sqrt(11) + (4 + sqrt(11))*1 - (sqrt(99) + 1*sqrt(99))**2 - (sqrt(704) + 4 + -2 + sqrt(704) - sqrt(704)*-1*-4)**2. -3212 + 66*sqrt(11) Simplify ((sqrt(720)*-3 + 2)**2 + -1 - (5 + (sqrt(720) - (4 + sqrt(720) + 2)))**2)*-2. -12964 + 288*sqrt(5) Simplify 6*((5*(sqrt(162) - (sqrt(162) + -1 + 5)) + -2)**2 - (-1*(1 + sqrt(162) - sqrt(162)) + sqrt(162))**2*5*-2). -1080*sqrt(2) + 12684 Simplify (4*(sqrt(209) + -1*sqrt(209)*-5 + 2*sqrt(209)*1))/(sqrt(11) + sqrt(891) + 3*sqrt(891) - ((sqrt(66) - -2*sqrt(66)) + sqrt(66) - sqrt(66))/sqrt(6)). 16*sqrt(19)/17 Simplify ((3*1*sqrt(96) - sqrt(96))/((sqrt(96) + sqrt(24))/sqrt(6)))/((sqrt(108) + (sqrt(108) - 1*sqrt(108)*-2))/sqrt(9)*-5). -sqrt(2)/30 Simplify ((1*6*(sqrt(972)*2 + sqrt(972))*-2)/(sqrt(44)/(sqrt(11) - -1*sqrt(11))*-5 + (sqrt(196) + -1*sqrt(196) - sqrt(196))*-4))**2. 139968/289 Simplify 2*(-5*sqrt(171)/sqrt(9)*1 + -2*(-3 + sqrt(133)/sqrt(7)))*4. -56*sqrt(19) + 48 Simplify ((2 + sqrt(539)*-3 + -4 + 2 + (-2 + sqrt(539) - sqrt(539) - sqrt(539)) + -1)*5)**2. 4200*sqrt(11) + 215825 Simplify (2 + (sqrt(448) + 1)*5 + -1*sqrt(448)*-6)**2*5*-5. -1356425 - 30800*sqrt(7) Simplify 3 + ((sqrt(120)*-1*-4)/(sqrt(96)/(sqrt(8)*-2)))/(-2*5*(sqrt(8)*1 - sqrt(2))). 4*sqrt(5)/5 + 3 Simplify -6*(1 + 5*sqrt(1584)*1*-5 + 0)**2. -5940006 + 3600*sqrt(11) Simplify (-4*(sqrt(80)/sqrt(2)*1 - sqrt(160)*4)/((sqrt(8) - sqrt(24)/sqrt(3)*-5)*1))**2. 980/9 Simplify 2*(((sqrt(19)*2*-5 - sqrt(19)) + 3*(sqrt(19) + sqrt(19) + sqrt(95)/sqrt(5)))**2 - ((1 + sqrt(684))*-6)**2) + 0. -49168 - 864*sqrt(19) Simplify (5*(-4 + 1 + (sqrt(931) - (sqrt(931)*1 + 2) - ((-4 + (1 + sqrt(931) - sqrt(931)) - sqrt(931)) + sqrt(931))) + 3))**2. 25 Simplify -3*(sqrt(6300) + -4 + (sqrt(7) + (2*sqrt(77))/sqrt(11) + sqrt(7) + sqrt(7))*-3 + 1)**2. -4752 + 270*sqrt(7) Simplify -6*((2*3*(sqrt(847) + 1) + 3)**2 + 3 + -6*sqrt(847)*-2 + -1). -183450 - 7920*sqrt(7) Simplify ((3 + -3*sqrt(1900))*-2)**2 + (sqrt(76)*-1 + 5 + sqrt(76) + 2 + sqrt(76) + 5)**2 + -1. -672*sqrt(19) + 68655 Simplify ((5*sqrt(65)*-1 + -5*(sqrt(65) - -2*sqrt(65)))*6)/(sqrt(605) + 2*sqrt(605)*-6 - (sqrt(605) - -2*sqrt(605))*4). 120*sqrt(13)/253 Simplify (3 + 2*(1*-3*sqrt(2) - sqrt(2)))**2 + 5*6*((3*sqrt(2))**2 - sqrt(2))*6. -228*sqrt(2) + 3377 Simplify ((6*(1*sqrt(228)*6 - (sqrt(228) - (sqrt(228) - sqrt(228)*-2))*2))/(sqrt(12) + sqrt(48)*3 + sqrt(48) - sqrt(60)/sqrt(5)*1))**2. 4275/4 Simplify (6*sqrt(176)*-4 + sqrt(176) + (-1 + sqrt(176) + -5 - sqrt(176)) + (sqrt(176) - (-2 + sqrt(176) + 0)) + 2 + 2)**2. 93104 Simplify -6*(-3*sqrt(56) - sqrt(14))/(sqrt(2) + sqrt(22)/(sqrt(22)/sqrt(2))) + (sqrt(84)/(-4*sqrt(4)) + sqrt(21))/(sqrt(3) + sqrt(12)/sqrt(4)*-4). 83*sqrt(7)/4 Simplify (-2 + sqrt(1584)*-2 + -2)**2 - -5*(-6*sqrt(110)*-5)/sqrt(10). 342*sqrt(11) + 6352 Simplify (2*(-3 + sqrt(208) + 3) + (0 + 0 + sqrt(208) + sqrt(208) - (-2 + -1 + sqrt(208))))**2 + 5. 72*sqrt(13) + 1886 Simplify ((4 + (sqrt(704) + -1*sqrt(704)*1 + sqrt(704))*2 + ((sqrt(704) - sqrt(704)*-2)*6 - sqrt(704)) + 5)*1 + 4)**2. 3952*sqrt(11) + 254313 Simplify (3*(sqrt(1872)*-2)**2 - (-1*(sqrt(1872) + 1 + sqrt(1872)) + sqrt(1872))**2)*-6 + (-2*(1 + sqrt(1872) + sqrt(1872) + 2))**2*-1. -153534 - 432*sqrt(13) Simplify (1 + sqrt(684) - sqrt(684))**2*-5 + 5 + 1*(-6*-1*sqrt(133))/sqrt(7). 6*sqrt(19) Simplify ((1 + (sqrt(1300) - (sqrt(1300) - sqrt(1300)*1)) + sqrt(1300) + 1)*-3)**2 + (0 + ((sqrt(1300)*-3)**2 - sqrt(1300)) - (sqrt(1300)*1 + -3)**2). 770*sqrt(13) + 57227 Simplify ((1*sqrt(190)*-1 - (sqrt(190) - -2*sqrt(190))*-6)*5)/(6*sqrt(1000)*1*6). 17*sqrt(19)/72 Simplify 5*(((sqrt(1053) + 1 + 5 - 2*sqrt(1053)*3)*-2)**2 + 1 + -2). -10800*sqrt(13) + 527215 Simplify (((sqrt(2200)*-2 + sqrt(2200)
{ "pile_set_name": "DM Mathematics" }
461828, -692744, -923658, -1154570? x**2 - 230921*x + 10 What is the a'th term of -946539981, -946539983, -946539985, -946539987, -946539989? -2*a - 946539979 What is the y'th term of 352477, 704951, 1057425, 1409899, 1762373? 352474*y + 3 What is the q'th term of 773331, 773843, 774705, 775923, 777503, 779451, 781773? q**3 + 169*q**2 - 2*q + 773163 What is the w'th term of 10184, -1674, -13522, -25354, -37164, -48946, -60694? w**3 - w**2 - 11862*w + 22046 What is the b'th term of 376, 9074, 32794, 79048, 155348, 269206, 428134, 639644? 1252*b**3 - b**2 - 63*b - 812 What is the n'th term of -991989, -991982, -991971, -991956? 2*n**2 + n - 991992 What is the q'th term of 8190, 7853, 7504, 7137, 6746, 6325, 5868, 5369? -q**3 - 330*q + 8521 What is the k'th term of -1165, -2846, -7045, -15022, -28037? -210*k**3 + k**2 - 214*k - 742 What is the c'th term of 7765, 15465, 23065, 30535, 37845? -5*c**3 - 20*c**2 + 7795*c - 5 What is the z'th term of 12337277, 12337255, 12337233, 12337211? -22*z + 12337299 What is the s'th term of 1365807, 1365773, 1365739, 1365705, 1365671? -34*s + 1365841 What is the f'th term of -35421342, -70842661, -106263980? -35421319*f - 23 What is the f'th term of 30108, 56038, 81968, 107898? 25930*f + 4178 What is the q'th term of -25660, -24520, -23380, -22240, -21100? 1140*q - 26800 What is the t'th term of -603762, -603731, -603678, -603603? 11*t**2 - 2*t - 603771 What is the z'th term of -410935, -410947, -410959, -410971? -12*z - 410923 What is the v'th term of -228, -192, -80, 108? 38*v**2 - 78*v - 188 What is the s'th term of -5209453, -10418932, -15628411, -20837890, -26047369? -5209479*s + 26 What is the v'th term of 1744616, 3489247, 5233878, 6978509, 8723140? 1744631*v - 15 What is the i'th term of -2189943, -4379832, -6569721? -2189889*i - 54 What is the i'th term of 2813245, 5626445, 8439645, 11252845, 14066045, 16879245? 2813200*i + 45 What is the u'th term of 964516, 964509, 964498, 964483, 964464? -2*u**2 - u + 964519 What is the w'th term of -151690, -303406, -455126, -606850, -758578, -910310, -1062046? -2*w**2 - 151710*w + 22 What is the b'th term of 2193, 2754, 3311, 3864, 4413, 4958, 5499? -2*b**2 + 567*b + 1628 What is the z'th term of -1008500, -2016993, -3025478, -4033955, -5042424? 4*z**2 - 1008505*z + 1 What is the a'th term of 167, 407, 719, 1109, 1583, 2147? a**3 + 30*a**2 + 143*a - 7 What is the a'th term of -2641, -10310, -23089, -40978, -63977, -92086, -125305? -2555*a**2 - 4*a - 82 What is the g'th term of -1770, -3800, -6118, -8718, -11594, -14740? g**3 - 150*g**2 - 1587*g - 34 What is the x'th term of 13631, 54409, 122369, 217511, 339835, 489341, 666029? 13591*x**2 + 5*x + 35 What is the b'th term of -12915, -12934, -12939, -12930? 7*b**2 - 40*b - 12882 What is the u'th term of -66253, -132300, -198347, -264394? -66047*u - 206 What is the x'th term of -360159150, -360159145, -360159138, -360159129, -360159118, -360159105, -360159090? x**2 + 2*x - 360159153 What is the p'th term of 7272210, 7272231, 7272252? 21*p + 7272189 What is the f'th term of 100530, 97940, 95350, 92760, 90170? -2590*f + 103120 What is the m'th term of 42856, 85786, 128722, 171664, 214612? 3*m**2 + 42921*m - 68 What is the m'th term of -3528150, -7056297, -10584444, -14112591, -17640738, -21168885? -3528147*m - 3 What is the d'th term of 150620, 301381, 452142? 150761*d - 141 What is the x'th term of 1665019, 3330039, 4995067, 6660103, 8325147? 4*x**2 + 1665008*x + 7 What is the k'th term of -259260, -259612, -259964, -260316? -352*k - 258908 What is the a'th term of -185631, -185668, -185705? -37*a - 185594 What is the l'th term of 2772, 1170, -1550, -5394, -10368, -16478, -23730? -l**3 - 553*l**2 + 64*l + 3262 What is the p'th term of 2445, 4954, 7463? 2509*p - 64 What is the a'th term of 17866, 14109, 10354, 6601, 2850, -899? a**2 - 3760*a + 21625 What is the c'th term of 4346, 8740, 16054, 26282, 39418, 55456? -c**3 + 1466*c**2 + 3*c + 2878 What is the s'th term of -316, 5819, 11954, 18089? 6135*s - 6451 What is the p'th term of -15, -523, -1443, -2769, -4495, -6615, -9123? p**3 - 212*p**2 + 121*p + 75 What is the i'th term of -45841, -91714, -137527, -183280, -228973, -274606? 30*i**2 - 45963*i + 92 What is the z'th term of 63566534, 63566536, 63566538, 63566540, 63566542? 2*z + 63566532 What is the g'th term of -371092, -742014, -1112764, -1483342, -1853748, -2223982? 86*g**2 - 371180*g + 2 What is the l'th term of 100629, 201248, 301867, 402486, 503105, 603724? 100619*l + 10 What is the j'th term of 22, -434, -1194, -2258, -3626? -152*j**2 + 174 What is the a'th term of 1904812, 3809612, 5714390, 7619134, 9523832? -2*a**3 + a**2 + 1904811*a + 2 What is the m'th term of 54305, 106150, 157995, 209840, 261685, 313530? 51845*m + 2460 What is the x'th term of 274767118, 549534232, 824301348, 1099068466, 1373835586, 1648602708? x**2 + 274767111*x + 6 What is the r'th term of -30931281, -30931269, -30931257, -30931245? 12*r - 30931293 What is the o'th term of 7720, 15530, 23338, 31138, 38924, 46690, 54430, 62138? -o**3 + 5*o**2 + 7802*o - 86 What is the x'th term of -721, -714, -703, -682, -645? x**3 - 4*x**2 + 12*x - 730 What is the g'th term of 2073633, 8294476, 18662533, 33177804, 51840289, 74649988? 2073607*g**2 + 22*g + 4 What is the u'th term of 120233, 120242, 120251? 9*u + 120224 What is the h'th term of 6047563, 12095077, 18142589, 24190099, 30237607, 36285113, 42332617? -h**2 + 6047517*h + 47 What is the x'th term of 1319455, 1319380, 1319257, 1319086, 1318867, 1318600? -24*x**2 - 3*x + 1319482 What is the u'th term of 365, 104, -439, -1258, -2347? u**3 - 147*u**2 + 173*u + 338 What is the y'th term of 425417, 425249, 425081, 424913, 424745, 424577? -168*y + 425585 What is the a'th term of 2115417, 2115407, 2115407, 2115417, 2115437? 5*a**2 - 25*a + 2115437 What is the u'th term of 1714, 1714, 1736, 1780, 1846, 1934, 2044? 11*u**2 - 33*u + 1736 What is the h'th term of 37785440, 75570898, 113356356, 151141814? 37785458*h - 18 What is the t'th term of 46915, 93742, 140483, 187138? -43*t**2 + 46956*t + 2 What is the f'th term of -308, 60, 918, 2266? 245*f**2 - 367*f - 186 What is the m'th term of 541243, 1082251, 1623277, 2164327, 2705407, 3246523, 3787681? m**3 + 3*m**2 + 540992*m + 247 What is the q'th term of -61790, -58087, -51906, -43241, -32086, -18435, -2282? q**3 + 1233*q**2 - 3*q - 63021 What is the t'th term of -759, -1414, -1997, -2520, -2995, -3434, -3849? -2*t**3 + 48*t**2 - 785*t - 20 What is the w'th term of -276724, -553467, -830222, -1106989, -1383768, -1660559, -1937362? -6*w**2 - 276725*w + 7 What is the m'th term of -18319, -41140, -63963, -86788? -m**2 - 22818*m + 4500 What is the o'th term of 29384, 28773, 28162, 27551? -611*o + 29995 What is the n'th term of 19942, 21055, 22204, 23407, 24682, 26047, 27520? 3*n**3 + 1092*n + 18847 What is the f'th term of 2135079, 2135073, 2135067, 2135061, 2135055? -6*f + 2135085 What is the q'th term of 1807, 14480, 48827, 115660, 225791, 390032, 619195? 1802*q**3 + 25*q**2 - 16*q - 4 What is the s'th term of -1646, -13229, -44650, -105821, -206654, -357061, -566954, -846245? -1652*s**3 - 7*s**2 + 2*s + 11 What is the f'th term of 21628, 40319, 59010, 77701, 96392, 115083? 18691*f + 2937 What is the h'th term of -50775212, -50775211, -50775210, -50775209, -50775208? h - 50775213 What is the b'th term of 7589, 13719, 30351, 62735, 116121, 195759, 306899? 875*b**3 + b**2 + 2*b + 6711 What is the n'th term of -351, -3983, -10057, -18579, -29555, -42991, -58893? -n**3 - 1215*n**2 + 20*n + 845 What is the n'th term of 8176, 8150, 8124, 8098, 8072? -26*n + 8202 What is the x'th term of -1021268, -1021274, -1021284, -1021298, -1021316? -2*x**2 - 1021266 What is the g'th term of -24219, -96962, -218195, -387918, -606131? -24245*g**2 - 8*g + 34 What is the w'th term of 52367, 52388, 52413, 52442, 52475, 52512? 2*w**2 + 15*w + 52350 What is the y'th term of 315, 64, -597, -1866, -3941? -33*y**3 - 7*y**2 + y + 354 What is the k'th term of -8502073, -34008290, -76518653, -136033162, -212551817, -306074618, -416601565? -8502073*k**2 + 2*k - 2 What is the z'th term of 7433, 7356, 7281, 7208? z**2 - 80*z + 7512 What is the k'th term of -442142, -884281, -1326420, -17
{ "pile_set_name": "DM Mathematics" }
- 66*t. What is the remainder when 88 is divided by t? 0 Let r(g) = 6*g - 6. Let x(h) = h**3 - 9*h**2 + 9*h + 2. Let a be -8*(0 - -4)/(-4). Calculate the remainder when r(4) is divided by x(a). 8 Let n = -19 + 18. Let i(h) = -74*h**3 - h - 2. Calculate the remainder when i(n) is divided by 38. 35 Let d = -45 + 42. Let b = d - -35. Calculate the remainder when 60 is divided by b. 28 Calculate the remainder when (1080/15)/(12/30) is divided by 61. 58 Let p(m) = -m**3 - 8*m**2 + 22*m + 66. What is the remainder when p(-13) is divided by 19? 17 Let p = 5 + -4. Let k(j) = 35*j**3 - 2*j**2 + j. Calculate the remainder when k(p) is divided by 6*(-2)/3 + 13. 7 Suppose -3*v - 13 - 5 = 0. Let k = -2 - v. Let a(y) = 12*y - 5. What is the remainder when a(k) is divided by 11? 10 Suppose -3*d - d - 5*b = -75, 0 = -d + 5*b + 50. Suppose -2*z + 20 = o, o + 2*z = -z + d. Calculate the remainder when 18 is divided by o. 8 Let u(t) = 2*t**2 + 6*t - 6. What is the remainder when 65 - 8*(34/(-8) + 4) is divided by u(-5)? 11 Let g = -190 - -198. What is the remainder when 103 is divided by g? 7 Let x be 122/(-3) - (-3)/(-9). Let z(y) = y**2 - y - 21. Let d be z(0). Let o = d - x. Calculate the remainder when 37 is divided by o. 17 Suppose -3*r = w + 5, 3*r + 14 - 2 = 0. Calculate the remainder when 47 is divided by w. 5 Let k = 102 + -53. Let o(y) = -2*y**3 - 14*y**2 - 15*y - 5. Suppose 15 = 5*p + 45. What is the remainder when k is divided by o(p)? 10 Let i = -15 - -57. Suppose -8*y + 2*y = -i. Calculate the remainder when 19 is divided by y. 5 Suppose -5*y - 6 = -101. What is the remainder when 146 is divided by y? 13 Let n(g) = -g. Let j(r) = r**2 + 11*r + 13. Let i be j(-9). Let k be n(i). Let a(q) = q + 3. What is the remainder when 30 is divided by a(k)? 6 Suppose 3*w - 2 = b, 3*w = -b - 2*b + 6. Suppose 2*d - 36 = -2*h, -d - b = -2*h - 28. Calculate the remainder when d is divided by 6. 3 Suppose 0 = -2*s + t - 4, 0*t - 4 = -2*s - 3*t. What is the remainder when s/(3 + -6 + 2)*13 is divided by 5? 3 Suppose -97 = 5*b + 3*q - 702, 2*b - 5*q = 242. Calculate the remainder when b is divided by 19. 7 Suppose 3*p = 4*v - 164, 5*v + 5*p - 2*p - 232 = 0. Calculate the remainder when v is divided by 3. 2 Suppose -4*k = -0 + 28. Let a(v) = v**3 + 10*v**2 + 18*v + 14. Calculate the remainder when a(k) is divided by 4. 3 Let r = 51 - 35. Suppose 5*c - 97 + 154 = h, c - 311 = -5*h. What is the remainder when h is divided by r? 14 Let b(r) be the second derivative of r**3/6 - 5*r. Let v be b(4). Suppose -2*q + 4*z = -14, 3*q - v*z - 26 = -5. Calculate the remainder when q is divided by 4. 3 Suppose 28 = o + 199. Calculate the remainder when ((o/(-3))/(-3))/(1 - 2) is divided by 5. 4 Suppose 3*v + 3*t = -2*v - 24, -3*v + 2*t - 22 = 0. Let u(j) = 6*j + 41. Calculate the remainder when 37 is divided by u(v). 2 Let g(j) = 42*j**2 + 2*j + 1. Let o(m) = -m. Let b be o(-5). Suppose b*n = 81 - 26. What is the remainder when g(-1) is divided by n? 8 Suppose -2*z - c = 53, -5*c - 95 = 5*z + 50. Calculate the remainder when 97 is divided by 28/(6/(-15) + z/(-10)). 13 Let m(k) = -k + 6. Let v be m(6). Suppose -i + 3 - 2 = v. What is the remainder when 48 is divided by i + (-4 + 0 - -20)? 14 Let w = 881 - 869. Let q = 3 - -17. Suppose -q = -k - 3*k. What is the remainder when w is divided by k? 2 Let n(g) = 29*g**2 - 3*g - 5. Let f be n(-2). Suppose 58 = -f*l + 119*l. Calculate the remainder when l is divided by 8. 5 Let c = 297 - 286. What is the remainder when 19 is divided by c? 8 Let v(k) = -k**2 - k + 3. Let g be v(-3). Let w = -8 - -11. What is the remainder when 6/(5/((-20)/g)) is divided by w? 2 Suppose -r - 528 = -12*r. Calculate the remainder when r is divided by 7. 6 Suppose -2*g + g + 5*z + 147 = 0, 3*z = 5*g - 757. Calculate the remainder when g is divided by 14. 12 Let v = 291 + -288. What is the remainder when 10 is divided by v? 1 Let x(b) = -50*b. Let i be x(-2). Let s be i/15 + (-3)/(-9). Let f = 22 + s. What is the remainder when f is divided by 10? 9 Let u(z) = -5*z**2. Let h be u(1). Let n = 1 + h. What is the remainder when 5 is divided by (n/8)/(2/(-16))? 1 Let s = 72 + -28. Let u = 397 - 374. What is the remainder when s is divided by u? 21 Let w = 2668 + -2076. What is the remainder when w is divided by 9? 7 Let m(t) = -t + 23. Suppose 3*j + 30 = -3*z, z + 4*z - 85 = 4*j. Let l = -22 - -32. What is the remainder when m(j) is divided by l? 8 Suppose 0 = -b - 0*f + 2*f + 23, 0 = -5*f. Let w = -302 + 312. Calculate the remainder when b is divided by w. 3 Suppose -5*d + 1 = -14, -5*m + 104 = 3*d. Suppose m*j + 145 = 24*j. What is the remainder when j is divided by 16? 13 Let i = -16 - -12. Let y be ((-5)/2)/((-2)/i). Let w(t) = -2*t. What is the remainder when 19 is divided by w(y)? 9 Let q = 49 + -49. Suppose -r = t + 3*r - 167, -t + 3*r + 188 = q. What is the remainder when t is divided by 36? 35 Suppose -k = t + 3*k + 4, -t + k = -6. Suppose -2*c + 83*c = -72*c + 10710. What is the remainder when c is divided by t? 2 Let o(j) = 16*j + 11. Let s(f) = f**2 + f. Let k(v) = -o(v) + 2*s(v). What is the remainder when 12 is divided by k(8)? 2 Suppose -4*s + 336 = 4*v, 0 = -v - 2*s - 2*s + 87. What is the remainder when 912 is divided by v? 82 Suppose 2*r = 5*p + 77, -r + p - 12 = -55. Let q be 6/(-8) - (-154)/(-8). Let y = 4 - q. Calculate the remainder when r is divided by y. 22 Suppose 7*v + 79 = -117. Let i = v - -37. Suppose 5*x - 4 = 3*x. What is the remainder when i is divided by x? 1 Let h(d) = -d + 0 - 1 + 5*d**2 + 3. Suppose -v - 2*s - 6 + 0 = 0, 29 = v - 5*s. Calculate the remainder when h(v) is divided by 27. 24 Calculate the remainder when 1640/24 - (-10)/6 is divided by 13. 5 Let q = 14 + -6. Let x = 2 - -2. Suppose x*m + 34 = 118. Calculate the remainder when m is divided by q. 5 Let h be (-68)/(-18) + 6/27 - -226. Suppose 0 = -8*o + h + 274. Calculate the remainder when o is divided by 11. 8 Let m = 39 + 16. Let z(v) = -2*v**3 - 5*v**2 - 3*v - 4. What is the remainder when m is divided by z(-3)? 13 Suppose -12*s + 1910 = -2542. What is the remainder when s is divided by 22? 19 What is the remainder when 285 is divided by (-29141)/(-905) - ((-9)/5 + 2)? 29 Suppose 103 = 2*o + a, -2*a + 53 = o - a. Calculate the remainder when o is divided by 26. 24 Let m = 266 + -235. What is the remainder when 835 is divided by m? 29 Let a = 2363 - 1276. What is the remainder when a is divided by 10? 7 Suppose -5*r + 0*u = 4*u - 76, -3*u = r - 24. What is the remainder when 45 is divided by r? 9 Suppose 671 = 20*l - 129. Calculate the remainder when 278 is divided by l. 38 Let y = 10 + 4. Suppose -y*n = -12*n - 70. Calculate the remainder when n is divided by 12. 11 Let o(r) = -r**3 + 6*r**2 + 4*r + 8. Calculate the remainder when 356 is divided by o(0). 4 What is the remainder when (-6)/8 + (-2230)/(-40) is divided by 21? 13 Let v = 48 + -21. Calculate the remainder when 18 is divided by (-12)/30 - v/(-5). 3 Suppose 0 = -3*s + 2*s + 18. Let h = s - 14. Suppose m = 26 - h. What is the remainder when 43 is divided by m? 21 Let s = -19 - -7. Let t(b) = -b + 2. What is the remainder when (135/s)/((-18)/48) is divided by t(-6)? 6 Let h(o) = -o**3 + 7*o**2 + 22*o - 37. Calculate the remainder when h(7) is divided by 15. 12 Let x = 64 + -50. What is the remainder when 83 is divided by x? 13 Suppose m = -2*y + 150, -2*y - 11*m + 15*m + 140 = 0. What is the remainder when 1922 is divided by y? 72 Let i(p) = -p**3 + p**2 - 2*p + 18. What is the remainder when i(0) is divided by 7? 4 Calculate the remainder when (-47304)/(-81) + (0 - -10) is divided by 60. 54 Let k(m) = -m**3 - 5*m**2 + 27*m + 134. Suppose -o + 5*a = -65, 0*o - 2*a = o - 51. Calculate the remainder when o is divided by k(-6). 7 Suppose -3*a + 0*a = -21. Let t(b) = b**2 - 7*b - 3. Let n be t(8). Suppose p = -n*p + 66. What is the remainder when p is divided by a? 4 Let s = -27 - -63. Calculate the remainder when 143 is divided by s. 35 Let h be 1 + 0/(4 - 0) + 56. Suppose -h = 21*q - 24*q. What is the remainder when 89 is divided by q? 13 Suppose -g + 5*q + 167 + 69 = 0, 0 = 2*g + 2*q - 484. Calculate the remainder when g is divided by 27. 25 Let r(q) = q**2 + 29*q - 144. Let s = 32 + -22. Calculate the re
{ "pile_set_name": "DM Mathematics" }
2 - 1960*x**2 + 6*x. -20*x**2 + x Collect the terms in 2 - 4276*d**3 + 2061*d**3 + 2165*d**3. -50*d**3 + 2 Collect the terms in -2*s + 2*s - 16330953596*s**3 + 16330953562*s**3. -34*s**3 Collect the terms in -258*g + 514 + 916 - 1430. -258*g Collect the terms in 38*f + 44*f - 214 + 214 + 52*f - 133*f. f Collect the terms in 15*n + 30*n + 29776 - 29762. 45*n + 14 Collect the terms in 173516*w**2 - 308155*w**2 - 409837*w**2 - 11089*w**2 + 2*w. -555565*w**2 + 2*w Collect the terms in -2 + j**2 + 2*j**2 - 2*j**3 - 4*j**2 + 31343*j. -2*j**3 - j**2 + 31343*j - 2 Collect the terms in 43*r**2 - r**3 + r - 1280 + r - 43*r**2. -r**3 + 2*r - 1280 Collect the terms in -1164*y - 740899 + 1481791 - 740892. -1164*y Collect the terms in -1562*a + 1558*a - 29073*a**3 + 29164*a**3. 91*a**3 - 4*a Collect the terms in 2*j - 16542 - 16403 + 32908. 2*j - 37 Collect the terms in -269*w + 2*w**2 - 355 + 174 + 649*w + 185. 2*w**2 + 380*w + 4 Collect the terms in -4470*z**3 - 14889*z**3 - 5559*z**3. -24918*z**3 Collect the terms in 3 + 2*n**2 + 928917*n - 930610*n - 3. 2*n**2 - 1693*n Collect the terms in -3197 + 2501*r**2 + 1081*r**2 + 3198 - 693*r**2 + 32*r. 2889*r**2 + 32*r + 1 Collect the terms in 58699*z**2 - 6962*z**2 + 49427*z**2 + 458*z**2. 101622*z**2 Collect the terms in 102*c**2 + 1291 - 2270 + 979 + 46*c**2. 148*c**2 Collect the terms in 141779 - 70897 - 70883 - 2*c**3 + 5*c**3. 3*c**3 - 1 Collect the terms in 52288*m + 24511*m + 34082*m. 110881*m Collect the terms in -3*z**2 - 169*z - 6*z**2 + 123*z + 74*z. -9*z**2 + 28*z Collect the terms in -9*u - 196*u**3 + 122*u**3 + 5*u**3 + 51*u**3. -18*u**3 - 9*u Collect the terms in 17879691 - 17879691 - 243*x**3. -243*x**3 Collect the terms in 7051*o - 3 + 2204*o + 267*o. 9522*o - 3 Collect the terms in 9 - 2 + 34 + 15445*i**2 - 15358*i**2. 87*i**2 + 41 Collect the terms in -11*y**3 + 959523320096 - 959523320096. -11*y**3 Collect the terms in -45 + 13 + 17 + 3*x**2 + 21 - 6. 3*x**2 Collect the terms in -5776309*s**3 - 5776162*s**3 + 11552524*s**3. 53*s**3 Collect the terms in -2795 + 695 + 705 + 20*b + 693 + 702. 20*b Collect the terms in 31192*f**2 + 12650*f**2 - 13688*f**2 + 32375*f**2. 62529*f**2 Collect the terms in -2 - 20813*l + 41581*l - 20798*l. -30*l - 2 Collect the terms in -281*f**2 + 66*f**2 + 82*f**2 - 1 + 9 + 70*f**2 + 68*f**2. 5*f**2 + 8 Collect the terms in -593 + 1186 - 595 + 8407*y. 8407*y - 2 Collect the terms in 950337*v**2 - 316793*v**2 - 316803*v**2 - 316754*v**2. -13*v**2 Collect the terms in -407*i**2 - 402*i**2 + 647*i**2 + 161*i**2. -i**2 Collect the terms in -8198528*q**2 + 0*q - 4*q + 4*q. -8198528*q**2 Collect the terms in 17203408*v**3 + 3*v - 8601838*v**3 - 3*v - 8601550*v**3. 20*v**3 Collect the terms in -5 + 11 - 6 - 242*k + 55*k + 163*k. -24*k Collect the terms in -4161*r**2 - 11154*r**2 + 94623*r**2. 79308*r**2 Collect the terms in 21*l + 34*l - 5 + 6 + 17*l - 2. 72*l - 1 Collect the terms in -8953*i**3 + 75*i + 4482*i**3 + 4587*i**3. 116*i**3 + 75*i Collect the terms in 6162*x**2 - 3081*x**2 - 3083*x**2 + 908. -2*x**2 + 908 Collect the terms in -596*m**3 - 550*m**3 + 2693*m**3. 1547*m**3 Collect the terms in -38 + 8*c**2 + 5*c**2 - 16*c**2 + 110 - 116. -3*c**2 - 44 Collect the terms in -7425 - 3585 + 3212 - 2*v**2. -2*v**2 - 7798 Collect the terms in -73*n + 33*n + 10*n**3 + 31*n - 3*n + 7*n. 10*n**3 - 5*n Collect the terms in -150 + 15670*f + 23639*f + 74 + 78. 39309*f + 2 Collect the terms in 1822*q**3 - 2032*q**3 + 202*q**3 + 0*q + 0*q + 0*q. -8*q**3 Collect the terms in m**3 - 2*m**2 - 6*m**3 - 4210*m + 4210*m + 5*m**2 - 228. -5*m**3 + 3*m**2 - 228 Collect the terms in 28*v**2 + 19240 - 19230 - 27*v**2. v**2 + 10 Collect the terms in -329*r + 43*r + 95*r + 193*r. 2*r Collect the terms in 4038544016*v + 4038544036*v - 8077088082*v. -30*v Collect the terms in h**2 - 3*h**2 + 5*h**2 - 1 + 115331627*h - 115331627*h. 3*h**2 - 1 Collect the terms in -4 + 13*j + 4 + 60*j + 42*j - 15*j. 100*j Collect the terms in -1797*u + 3564*u - 35 - 1769*u. -2*u - 35 Collect the terms in 639*q + 26849 - 13440 - 13409. 639*q Collect the terms in -27942*g - 27945*g + 55826*g. -61*g Collect the terms in -3517*y + 1761*y + 519*y**2 + 1756*y. 519*y**2 Collect the terms in -2*p - 19 - 13*p - 37 + 137 - 41 - 38. -15*p + 2 Collect the terms in 11920*b**3 + 4201*b**3 + 1774*b**3 + 4445*b**3. 22340*b**3 Collect the terms in -96*o**3 - 73*o**3 + 349*o**3 - 100*o**3 - 63*o**3. 17*o**3 Collect the terms in 1433*b - 179 - 2939*b - 2110*b + 179. -3616*b Collect the terms in 956 - 161*h - 956 + 649*h. 488*h Collect the terms in -25*n - 26*n - 35*n - 409 + 78*n + 153. -8*n - 256 Collect the terms in 633*j**2 - 5*j**3 - 331*j**2 - 349*j**2. -5*j**3 - 47*j**2 Collect the terms in 54*a**3 + 1 - 1 + 862008*a**2 - 862004*a**2. 54*a**3 + 4*a**2 Collect the terms in 401092 - 6*u + 401093 - 802185 + 7*u**3. 7*u**3 - 6*u Collect the terms in -222*t**2 - 220*t**2 - 6 + 0 - 76*t**3 + 444*t**2 + 6. -76*t**3 + 2*t**2 Collect the terms in -2069*u**2 + 4669*u**2 + 4798*u**2 + 4965*u**2. 12363*u**2 Collect the terms in 5*a**2 - 1004577225 + 1004577225. 5*a**2 Collect the terms in -45117*i - 82166*i - 1710016*i - 1213886*i. -3051185*i Collect the terms in 334*p - 323*p + p**3 - 103*p**2 - 163*p**2 - 3*p**3 + 3*p**3. p**3 - 266*p**2 + 11*p Collect the terms in -q + 1171536 + 1171542 - 6*q - 3514609 + 1171531. -7*q Collect the terms in -6483 + 4903*q**2 + 6483. 4903*q**2 Collect the terms in -4 + 6*h**3 - 159751*h**2 + 6 - 2 + 159749*h**2. 6*h**3 - 2*h**2 Collect the terms in 305*g**2 - 1237*g**2 + 337*g**2 + 336*g**2 + 267*g**2. 8*g**2 Collect the terms in -q + 3*q - 4 - 5*q + 14 - 5 - 3*q. -6*q + 5 Collect the terms in 0*i - i - 40 + 94 + 4 - 57. -i + 1 Collect the terms in -11*g + 15*g - 402 + 167 + 162. 4*g - 73 Collect the terms in 4055493*u**3 - 2027582*u**3 - 2027886*u**3. 25*u**3 Collect the terms in -3*x**2 - 12*x - 770573 + 770573. -3*x**2 - 12*x Collect the terms in 60*g - 5 + 56*g - 119*g - 11 - 7. -3*g - 23 Collect the terms in -5169690*u**2 + 38 - 38 + 5169950*u**2. 260*u**2 Collect the terms in -65498*y**2 - 19 + 5 + 63686*y**2 + 14. -1812*y**2 Collect the terms in -37 - 11*y + 345 + y. -10*y + 308 Collect the terms in 191854*u**3 + 210425*u**3 - 402280*u**3. -u**3 Collect the terms in -79*v**3 + 597*v**3 + 3136*v**3. 3654*v**3 Collect the terms in -2564*z + 5423*z - 8813*z - 8023*z. -13977*z Collect the terms in -82554740*z**3 - 82552041*z**3 + 165106783*z**3. 2*z**3 Collect the terms in 185*m**3 + 2*m**2 + 158*m**3 + 137*m**3 + 284*m**3. 764*m**3 + 2*m**2 Collect the terms in -3 + 3 + 156*z**3 + 1114*z**2 - 158*z**3 - 1117*z**2 + 0. -2*z**3 - 3*z**2 Collect the terms in 45 - 387*a + 1268*a - 392*a - 490*a. -a + 45 Collect the terms in m**2 - 199600 + 404506 - 204906. m**2 Collect the terms in -46131 + 46131 + 2409*t. 2409*t Collect the terms in 2700498*l + 2009694*l + 3339786*l + 3703406*l. 11753384*l Collect the terms in -72 - 1148 - 1736 - 2717 - s**2. -s**2 - 5673 Collect the terms in 6680*w**3 - 2132*w**3 - 4582*w**3. -34*w**3 Collect the terms in 28172 + 7*s**3 + 32*s - 28172 - 19*s - 13*s. 7*s**3 Collect the terms in 841844 - 841844 + 123*r**2. 123*r**2 Collect the terms in -5*c**2 - 9*c**2 + 69 - 25 - 4*c**2 + 15*c**2. -3*c**2 + 44 Collect the terms in -84200*m**2 - 40834*m**2 - 52849*m**2 + 2065*m**2. -175818*m**2 Collect the terms in -127569*g - 127506*g + 255170*g. 95*g Collect the terms in -34*f - 10*f + 33*f - 21*f - 38*f - 41*f. -111*f Collect the terms in -92*s - 69*s + 5 - 5 + 125*s. -36*s Collect the terms in -z**3 - 21*z**2 + 104*z**2 - 77572224*z + 77572224*z. -z**3 + 83*z**2 Collect the terms in -601*a**2 - 602*a**2 + 7 - 588*a**2 - 590*a**2 + 2415*a**2. 34*a**2 + 7 Collect the terms in 65 - 37 + 56*b + 47*b + 57*b. 160*b + 28 Collect the terms in 12944130310724*a - 12944130310724*a + 3*a**2. 3*a**2 Collect the terms in 46 + 13 - 27*b + 17 + 18 + 19 - 112. -27*b + 1 Collect the terms in -121 + 20*r + 46*r + 65 + 22*r. 88*r - 56 Collect the terms in 6*r + 1142*r**2 - 499*r**2 - 643*r**2 + 24*r**3 + 3*r - 9*r - 26*r**3. -2*r**3 Collect the terms in 377541*a - 377541*a + 3447*a**3. 3447*a**3 Collect the terms in 183*x - 78 + 21 - 257*x. -74*x - 57 Collect the terms in -45*j - 77*j - 69*j + 274
{ "pile_set_name": "DM Mathematics" }
alculate k(-6). 4 Let x(p) = p**2 - p - 168. Give x(11). -58 Let w(n) = -n**2 - 36*n - 333. Give w(-22). -25 Let l(h) = -5*h**3 + 4*h**2 - 16*h - 51. Determine l(-3). 168 Let y(i) = 2*i**2 - 88*i + 203. Give y(39). -187 Let w(d) = -209*d + 1051. What is w(5)? 6 Let v(w) = 2*w**3 - 2*w**2 + 98*w - 181. Give v(2). 23 Let p(x) = -x**2 + 61*x - 472. Determine p(9). -4 Let r(b) = -b**3 - 10*b**2 - 13*b + 10. Calculate r(-6). -56 Let s(v) = 3*v**2 + 263*v - 3920. What is s(13)? 6 Let k(u) = 5*u**2 + 18*u - 47. Determine k(-6). 25 Let z(x) = 92*x + 1244. Determine z(-18). -412 Let w(d) = 17*d**3 + 288*d**2 - 26*d - 164. Calculate w(-17). -11 Let b(p) = 11*p**2 + 1247*p + 448. Calculate b(-113). -4 Let j(s) = s**2 + 134*s - 4297. Determine j(27). 50 Let w(s) = 232*s - 2778. Determine w(12). 6 Let f(p) = -p**3 + 8*p**2 + 34*p - 194. Determine f(9). 31 Let w(i) = 5*i**2 + 147*i + 837. What is w(-6)? 135 Let x(b) = -57*b + 154. Give x(3). -17 Let p(h) = 2*h - 12. Determine p(7). 2 Let g(f) = 3*f**3 - 22*f**2 + 38*f + 15. What is g(4)? 7 Let b(n) = 3*n**3 - 16*n**2 - 40*n - 6. What is b(-2)? -14 Let a(l) = 2*l**3 + 267*l**2 - 1240*l + 275. Calculate a(-138). -1 Let a(d) = d**3 + 24*d**2 + 106*d - 32. Determine a(-18). 4 Let x(l) = -2*l**2 - 33*l + 202. What is x(-21)? 13 Let m(p) = -360*p - 730. What is m(-2)? -10 Let y(g) = -g**3 - 55*g**2 + 59*g + 119. Calculate y(-56). -49 Let x(p) = -2440*p + 14659. Give x(6). 19 Let t(h) = -h**2 - 54*h + 422. What is t(7)? -5 Let w(v) = -v**3 - 24*v**2 + 67*v + 387. What is w(-26)? -3 Let z(l) = -6*l**3 + 5*l**2 - 23*l - 58. Give z(-2). 56 Let z(h) = 4*h - 11. What is z(-13)? -63 Let b(r) = 3*r**2 + 4*r - 102. Give b(-7). 17 Let r(b) = 155*b - 6637. Give r(43). 28 Let l(n) = 17*n + 1598. What is l(-94)? 0 Let t(l) = 6*l**2 + 108*l - 107. Give t(-21). 271 Let p(t) = -2*t**3 - 7*t**2 + 7*t - 3. Calculate p(3). -99 Let n(x) = x**3 + 6*x**2 + 23*x + 103. Determine n(-5). 13 Let t(n) = -193*n**2 + 1352*n - 2. Calculate t(7). 5 Let z(q) = -q**3 - 10*q**2 - 186*q - 1594. Calculate z(-9). -1 Let k(j) = 2745*j - 10997. Determine k(4). -17 Let m(g) = -113*g - 222. Give m(-4). 230 Let v(i) = -84*i - 7558. Give v(-90). 2 Let g(a) = -a**2 - 75*a + 1136. Calculate g(13). -8 Let y(j) = -3*j**3 - 3*j**2 - 2*j - 62. Determine y(0). -62 Let v(l) = -92*l - 191. Determine v(-7). 453 Let x(s) = s**2 - 44*s + 59. What is x(42)? -25 Let h(c) = c**3 + 2*c**2 + c + 4. Calculate h(-3). -8 Let x(v) = 3*v**3 - 24*v**2 - 47*v + 369. Calculate x(8). -7 Let x(t) = -t**3 + 80*t + 2. Calculate x(9). -7 Let a(u) = -7*u**3 - 9*u**2 - 23*u - 3. Calculate a(-2). 63 Let m(x) = x**3 + 3*x**2 + 2*x + 66. Determine m(-5). 6 Let h(i) = i**2 - 12*i - 75. Give h(-6). 33 Let h(n) = -n**3 - 8*n**2 + 7*n + 111. Give h(-5). 1 Let d(u) = 182*u**3 + 3*u**2 + 6*u - 7. Calculate d(1). 184 Let b(z) = 1005*z + 48254. Determine b(-48). 14 Let i(a) = -a**2 + 22*a - 23. Give i(11). 98 Let d(l) = 45*l - 88. Determine d(-2). -178 Let c(a) = -3*a**2 + 7*a + 158. Give c(-6). 8 Let v(u) = -25*u**2 - 2*u + 8. Give v(-2). -88 Let p(a) = -179*a**3 + 4*a**2 + 6*a + 2. What is p(-1)? 179 Let a(o) = -13*o - 1964. Calculate a(-156). 64 Let o(h) = 229*h + 772. Calculate o(-4). -144 Let w(y) = -12*y**2 + 168*y - 267. Calculate w(12). 21 Let z(g) = 2*g**3 - 2*g**2 - 17*g + 21. Calculate z(2). -5 Let p(k) = -k**3 - 8*k**2 - 13*k - 27. Calculate p(-8). 77 Let k(h) = 156*h - 21368. Determine k(137). 4 Let u(k) = 35*k - 56. Calculate u(-14). -546 Let a(d) = -d**3 + 29*d**2 + 91*d. What is a(-3)? 15 Let m(q) = -19*q**3 + 2*q**2 - 25*q - 26. Give m(-1). 20 Let i(t) = -t**3 - 15*t**2 - 9*t + 31. Determine i(-14). -39 Let f(w) = w**2 - 28*w + 211. Determine f(16). 19 Let l(w) = -4*w**2 - 760*w + 3096. What is l(-194)? -8 Let i(u) = -u**2 + 95*u + 818. Give i(-8). -6 Let z(p) = p**2 - 376*p - 6. Give z(0). -6 Let v(c) = -6893*c + 48293. What is v(7)? 42 Let g(p) = 7947*p - 174832. Give g(22). 2 Let l(d) = 486*d + 235. What is l(1)? 721 Let w(y) = -107*y**2 - 1931*y - 13. Determine w(-18). 77 Let n(d) = 16*d - 854. What is n(52)? -22 Let w(l) = 4*l**2 - 235*l + 173. Calculate w(58). -1 Let j(t) = -132*t + 200. Determine j(2). -64 Let y(d) = 2*d**2 + 313*d - 47408. What is y(-251)? 31 Let u(n) = -2*n**3 - 23*n**2 + 12*n + 33. Determine u(-12). 33 Let s(t) = -t**2 - 32*t + 9948. Determine s(85). 3 Let m(u) = 1339*u + 46845. Give m(-35). -20 Let q(r) = -158*r. What is q(0)? 0 Let b(k) = -4*k**3 + 8*k**2 - 34*k + 65. Determine b(2). -3 Let n(g) = -19*g**2 - 6*g - 1. Give n(-4). -281 Let p(x) = -x - 122. Calculate p(-2). -120 Let h(n) = n**3 + 8*n**2 + 15*n + 34. Determine h(-7). -22 Let m(v) = -375*v - 1501. Determine m(-4). -1 Let v(j) = -j**3 - 11*j**2 - 2*j - 6. What is v(-11)? 16 Let f(b) = -11*b**2 - 266*b - 52. What is f(-24)? -4 Let i(c) = -6*c**2 - 159*c + 160. What is i(1)? -5 Let o(u) = 4*u - 3. Give o(23). 89 Let m(h) = h**2 + 18*h - 109. What is m(-17)? -126 Let z(b) = b**3 + 9*b**2 - 26*b - 42. Give z(-11). 2 Let v(w) = w**3 - 43*w**2 + 124*w - 3. What is v(3)? 9 Let c(n) = n**3 - 5*n**2 - 32*n - 224. Give c(11). 150 Let c(z) = -3*z**2 + 66*z - 123. Give c(20). -3 Let w(b) = -2*b**2 + 134*b + 13781. What is w(123)? 5 Let n(i) = -159*i - 2001. What is n(-14)? 225 Let q(z) = 3*z**3 + 2*z**2 + 2*z + 9. What is q(0)? 9 Let m(j) = j**2 - 50*j + 34. Give m(48). -62 Let u(o) = -3435*o + 13737. What is u(4)? -3 Let m(r) = -2*r**3 - 582*r**2 - 574*r + 1738. Give m(-290). -2 Let h(x) = -8*x**3 - 36*x**2 + 9*x + 8. Calculate h(-5). 63 Let w(b) = 24*b - 190. Determine w(8). 2 Let s(c) = 3*c**2 - 13*c - 54. Give s(13). 284 Let d(r) = -242*r + 3403. Give d(14). 15 Let d(r) = r**3 - 17*r**2 + 685*r - 4900. Calculate d(8). 4 Let z(q) = -q**3 + 45*q**2 - 391*q + 38. Give z(12). 98 Let g(y) = -2*y + 444. Give g(23). 398 Let z(v) = 97*v - 1079. Determine z(11). -12 Let y(l) = -l**3 - 128*l**2 - 842*l + 490. Give y(-121). -115 Let d(o) = -o**2 + 9*o + 67. Give d(-13). -219 Let y(u) = -u**2 + 32*u - 5. Give y(18). 247 Let x(r) = -65*r + 404. Determine x(6). 14 Let s(n) = n**2 + 32*n + 83. Give s(-29). -4 Let i(y) = -y**3 - 15*y**2 - 47*y - 184. Calculate i(-9). -247 Let b(i) = -157*i - 370. What is b(-4)? 258 Let l(g) = g**3 + 27*g**2 + 47*g - 58. What is l(-25)? 17 Let p(h) = h**2 - 37*h - 259. Calculate p(-6). -1 Let d(m) = -40*m - 331. Calculate d(-23). 589 Let d(o) = -522*o - 5246. Calculate d(-10). -26 Let t(u) = 85*u + 2568. Calculate t(-30). 18 Let g(f) = -102*f - 3278. Determine g(-32). -14 Let w(z) = 175*z - 1608. Determine w(9). -33 Let d(m) = -41*m + 3672. What is d(93)? -141 Let l(h) = -34*h**3 + 14*h**2 - 6*h + 4. What is l(2)? -224 Let k(q) = -q**3 - 49*q**2 - 219*q - 11. What is k(-44)? -55 Let m(h) = -2*h**2 - 1035*h - 38200. Determine m(-40). 0 Let w(g) = -4*g**2 + 39*g - 12. Determine w(8). 44 Let n(d) = -d**2 - 378*d + 22843. Give n(53). 0 Let b(i) = 9079*i + 54458. Calculate b(-6). -16 Let f(y) = -41*y - 1122. Determine f(-34). 272 Let h(c) = 33*c - 73. Calculate h(4). 59 Let c(x) = 178*x + 706. Calculate c(-4). -6 Let w(c) = -c**3 + 7*c**2 + 122*c + 38. What is w(15)? 68 Let a(w) = -15*w + 1596. Give a(106). 6 Let y(u) = 105*u**2 + 139*u + 415. Determine y(-3). 943 Let w(m) = m**2 - 13*m - 16. Calculate w(16). 32 Let q(l) = l**3 - 3*l**2 - 15*l + 66. Give q(7). 157 Let s(t) = t**3 - 30*t**2 + 214*t - 26. Determine s(11). 29 Let m(h) = -h**2 - 41*h - 191. What is m(-5)? -11 Let w(y) = 6*y + 320. What is w(-55)? -10 Let f(c) = -22*c**2 - 16*c - 65. What is f(-4)? -353 Let y(u) = 2683*u + 8050. Calculate y(-3). 1 Let w(z) = -4*z**3 - 14*z**2 + 13*z + 18. Give w(-6). 300 Let y(g) = g**3 + 13*g**2 - 28*g + 14. Calculate y(-15). -16 Let m(p) = p**3 - 35*p**2 - 136*p - 70. Calculate m(-3). -4 Let c(j) = -84*j - 11. Give c(0). -11 Let u(n) = n**3 + 12*n**2 + n - 29. Determine u(-10). 161 Let x(v) = 530*v + 34979. Calculate x(-66). -1 Let k(s) = -2*s**3 + 9*s**2 - 26*s + 129. What is k(6)? -135 Let x(c) = 2*c**3 - 25*c**2 + 10*c - 45. Give x(12). -69 Let p(q) = 226*q + 661. Determine p(-6). -695 Let h(c) = -2*c**3 - 32*c**2 - 17*c + 218. Give h(-15). 23 Let z(k) = -316*k + 1563. Give z(5). -17 Let d(f) = f**3 + f**2 + 751*f + 30. What is d(0)? 30 Let p(h) = h**3 - 15*h**2 - 14*h + 15. Calcula
{ "pile_set_name": "DM Mathematics" }
0000 Let f = 528.667 - 529. Let x = 15.367 - f. Round x to the nearest integer. 16 Let l(p) = -6*p + 3*p - 2*p**2 + 0 + 2*p + 2001*p**3 + 2. Let o be (-8)/6*3/(-2). Let n be l(o). What is n rounded to the nearest 10000? 20000 Suppose 3376 = 26*q - 18*q. Round q to the nearest ten. 420 Let j = 806062081 + -806048808.92009. Let p = j - 13272. Let y = p + -0.08. What is y rounded to four dps? -0.0001 Let d = 3184.1 - 3152.041. Let v = d + -32.2. Round v to 2 decimal places. -0.14 Let t(r) = -16*r**3 - 6*r**2 - 4*r - 14. Let c be t(-11). Round c to the nearest 1000. 21000 Let d = 0 - 0. Let w = d - 0.0003. What is w rounded to three decimal places? 0 Let k = 2821 - 2822.2062. Let w = k - -1.2. What is w rounded to 3 dps? -0.006 Let y(k) = -k**3 - 6*k**2 - 5*k + 1. Let f be y(-5). Let g(v) = 521565*v**3 + v. Let m be g(f). Let l = -181566 + m. Round l to the nearest 100000. 300000 Let d(r) = -1100000*r. Let x be d(-2). Suppose 4*k - 2*o = -k + x, -4*k + 1760000 = -2*o. What is k rounded to the nearest 100000? 400000 Let u = 27310182.2 + -30248368.97. Let l = -2938181.76999931 - u. Let f = -5 + l. What is f rounded to 7 decimal places? 0.0000007 Let c = -571 - -879. What is c rounded to the nearest 10? 310 Let d = 0 + -0.036. Let q = -0.0360135 - d. What is q rounded to six decimal places? -0.000014 Let u = 0.179988 + -0.18. What is u rounded to 6 decimal places? -0.000012 Let u = -25979 + 25980.30001. Let v = u - 1.3. Round v to six dps. 0.00001 Let v = -25.4 + 144.4. Let x = 120.02 - v. What is x rounded to 1 dp? 1 Let j = -0.41 + -24.79. Let y = 3.2 + j. Let m = 22.00000022 + y. What is m rounded to seven dps? 0.0000002 Let n be 2 - 4/(-2) - -189996. What is n rounded to the nearest one hundred thousand? 200000 Let b = 1314 + -7814. Round b to the nearest 1000. -7000 Let l = 0.35 - 0.264. Let q = 0.1 - l. Round q to two decimal places. 0.01 Let a(n) = n**3 - n - 2400. Let t be (16/(-4))/(-12)*0. Let y be a(t). Round y to the nearest one thousand. -2000 Let a = 11 - 11.51. Round a to one decimal place. -0.5 Let k = 0.3 + -0.3035. What is k rounded to 3 decimal places? -0.004 Let s = -219 + 218.9999386. What is s rounded to five dps? -0.00006 Let s = -9.4 - -1.7. Let a = -8 - s. Let w = a - -0.286. Round w to 2 dps. -0.01 Suppose -3*p - 3*h = 9, 2*p + 8 = -4*h - 8. Suppose 4*v - 10 = p*v. Let u be 387/15 + 1/v. Round u to the nearest 10. 30 Let f be 4/(-2) - (-8 - -4). Suppose f*s - 3210 = -s. What is s rounded to the nearest one hundred? 1100 Let m = -171718829.9999954 + 171718773. Let i = -57 - m. Round i to six decimal places. -0.000005 Suppose 4*f - 4*a = -15588, f - 4*f - 3*a = 11709. What is f rounded to the nearest 1000? -4000 Let d be (0 + 0)/(-2 - -1). Let g(c) = -c**3 - c - 15400000. Let j be g(d). What is j rounded to the nearest one million? -15000000 Let x = 10 + -17. Let u = -3 - x. Let w = u - 3.9999934. What is w rounded to 6 dps? 0.000007 Let s(q) = 8*q**3 - 5*q**2 - 5*q - 5. Let k be s(-11). Let i = -25203 - k. Round i to the nearest ten thousand. -10000 Suppose 0 = 10*t - 6*t + 64000. What is t rounded to the nearest 1000? -16000 Let r = -44.054 - -0.054. Let j = r + 43.99999934. Round j to 7 decimal places. -0.0000007 Let n(k) = -1289*k**2 - 4*k. Let q be n(8). Let h = q - -56528. Round h to the nearest 10000. -30000 Let x = -7884 + 7892.026. Let a = -8 + x. Round a to two decimal places. 0.03 Let s = -63875319375707.97099922 + 63875321461821. Let w = s + -2086113. Let r = -0.029 + w. What is r rounded to seven dps? 0.0000008 Let v = 47 + -96. Let x = -47.9 - -102. Let u = v + x. What is u rounded to the nearest integer? 5 Let d(q) = -344444*q**3 + 3*q**2 + 8*q + 9. Let v be d(-3). What is v rounded to the nearest one million? 9000000 Let f = -0.0438 + 0.044551. Round f to four dps. 0.0008 Let l be 6/(-4) - -11018*(-167)/(-4). What is l rounded to the nearest 10000? 460000 Let i = 52 + -54.1. Let v = i + 2.10058. Round v to 4 decimal places. 0.0006 Suppose -27*f + 36*f = 2430. Round f to the nearest ten. 270 Let i = 78 - 80.8. What is i rounded to one dp? -2.8 Let u(j) = 17*j + 8. Let a be u(21). Round a to the nearest ten. 370 Let k = -198.86 + 197. What is k rounded to 1 decimal place? -1.9 Let s = -0.02 - -4.82. What is s rounded to 0 dps? 5 Let d(w) = -21786*w + 4. Let o be d(8). Let h = 422018 + o. Let r = h + -677734. Round r to the nearest one hundred thousand. -400000 Let f(y) = -496*y**2 + 12*y - 9 - 616*y**2 - 3*y. Let m be f(9). Round m to the nearest one hundred thousand. -100000 Let h = -0.008 + 30.008. Let k = -42715.439905 - -42745.44. Let y = h - k. What is y rounded to 5 decimal places? -0.0001 Let b = 1.447 + -14.117. Let r = b + -0.23. Let q = r + 5. What is q rounded to the nearest integer? -8 Let n = 4.4999977 - 4.5. Round n to six dps. -0.000002 Let y = -0.675 - -0.228. Let w = 0.023 - y. Round w to 1 dp. 0.5 Let i = -7 + 7.6. Let m = 0.465 - -0.16. Let l = m - i. What is l rounded to 2 dps? 0.03 Let w = -12.62692 - -12.5169243. Let i = -5.89 - -6. Let a = w + i. Round a to six decimal places. 0.000004 Let b = 1678 + -3750. Let v = 3062 + b. What is v rounded to the nearest 100? 1000 Suppose i + 6 = 3*i. Let g be 2/6 - (-8)/i. Suppose 0 = s + g*s + 12. What is s rounded to the nearest 10? 0 Let z = -41364.8953 + 41363. Let o = 1.9 + z. What is o rounded to 3 decimal places? 0.005 Let y = 5629445 + -5629442.000003. Let b = y + -3. What is b rounded to five dps? 0 Let l = 22.27345 + -22.5734498. Let x = -8 + 7.7. Let t = l - x. Round t to six decimal places. 0 Let h = 10.799818 + -10.8. Round h to 4 dps. -0.0002 Let y(c) = 79*c + 3. Let z be y(-1). What is z rounded to the nearest 10? -80 Suppose -3*t = -f + 4, 4*f + 4 = 8. Let p be 0 + 1 + (-4 - t). Let v be 7400002 + -2 - 2 - p. What is v rounded to the nearest one million? 7000000 Let h = 10.3 - 10. Let v = -1.8 + 1.62. Let w = h - v. What is w rounded to 1 decimal place? 0.5 Suppose 0 = -3*n + 12, 0 = 2*g - n + 2*n + 3159996. What is g rounded to the nearest 100000? -1600000 Let l be (-120)/(-4*1/(-8)). Round l to the nearest ten. -240 Let a = 8 - 8. Suppose -p + 6 - 13 = a. What is p rounded to the nearest integer? -7 Let j be 4/(-6) - (-2)/3. Suppose j = -5*y + 68377 + 26623. Let b be (y/12)/(2/(-960)). Round b to the nearest 100000. -800000 Let j = 9 + -4. Let l = 189.085 - 194.1. Let o = j + l. Round o to two decimal places. -0.02 Let h = -86 - -92.5. Let o = 0 + 8. Let a = h - o. What is a rounded to 1 decimal place? -1.5 Let y = -100915311 - -183799382. Let s = y + -82884308.000097. Let z = s + 237. Round z to 5 dps. -0.0001 Let v = 184 - 184.0000101. Round v to six dps. -0.00001 Let k(g) = 3901*g**2 - 9*g - 10. Suppose -51 + 11 = -4*d. Let q be k(d). What is q rounded to the nearest one hundred thousand? 400000 Let g = -133 + 105. Let k = 34270.1 + -34242.10078. Let s = k + g. Round s to 4 decimal places. -0.0008 Let g = -18314837 + 2514837. Round g to the nearest 1000000. -16000000 Let s(l) be the second derivative of 232*l**3/3 + l**2 - 2*l. Let c be s(2). What is c rounded to the nearest 100? 900 Suppose c - 2*c + 1000000 = 0. What is c rounded to the nearest one million? 1000000 Let w = -0.191 + 1.971. Round w to one dp. 1.8 Let g = 9 + 29. What is g rounded to the nearest 10? 40 Let x = 97.5 - -32.5. Let z = x + -129.943. Let o = -0.05700118 + z. Round o to 7 decimal places. -0.0000012 Let o(z) = 32594*z**2 + 10*z - 29. Let w(v) = -16297*v**2 - 5*v + 15. Let x(j) = 3*o(j) + 5*w(j). Let h = 55 - 64. Let a be x(h). Round a to the nearest 100000. 1300000 Let w = -18 - -18. Suppose w = -6*d + 54835 + 10565. Round d to the nearest 1000. 11000 Let s = 1288 - 2790. Let j be -1*(-1)/4*-4. Let o be (2/(-1))/j + s. Round o to the nearest one thousand. -2000 Let f = -704 + 1518. Suppose -f = -5*i + 1236. What is i rounded to the nearest one hundred? 400 Let q = -16626053 - -9826053. What is q rounded to the nearest one million? -7000000 Suppose -m = 53235 + 42765. Round m to the nearest ten thousand. -100000 Let n = -0.03 - 0.07. Let y = 0.044 + n. Round y to two dps. -0.06 Let t = 0.045 + -0.375. Let b = t - -0.329938. Round b to five dps. -0.00006 Let q = -52.92 + -0.08. Let p = q + 97. Let n = 38.3 - p. What is n rounded to zero decimal places? -
{ "pile_set_name": "DM Mathematics" }
PM How many minutes are there between 11:20 PM and 11:05 AM? 705 How many minutes are there between 10:42 PM and 10:26 AM? 704 What is 592 minutes before 6:06 AM? 8:14 PM How many minutes are there between 3:44 AM and 12:12 PM? 508 What is 528 minutes after 10:39 AM? 7:27 PM What is 485 minutes after 8:54 AM? 4:59 PM How many minutes are there between 5:40 PM and 8:02 PM? 142 What is 707 minutes before 4:18 AM? 4:31 PM What is 467 minutes after 9:10 AM? 4:57 PM How many minutes are there between 12:37 AM and 2:52 AM? 135 What is 702 minutes after 4:42 PM? 4:24 AM How many minutes are there between 11:38 AM and 10:50 PM? 672 How many minutes are there between 12:51 PM and 11:27 PM? 636 How many minutes are there between 2:28 AM and 7:30 AM? 302 What is 418 minutes after 10:39 PM? 5:37 AM What is 530 minutes before 10:08 AM? 1:18 AM What is 251 minutes after 10:43 PM? 2:54 AM How many minutes are there between 9:35 PM and 5:48 AM? 493 How many minutes are there between 9:07 PM and 11:57 PM? 170 What is 628 minutes after 5:43 PM? 4:11 AM What is 463 minutes after 11:52 AM? 7:35 PM How many minutes are there between 6:15 PM and 7:37 PM? 82 How many minutes are there between 12:23 PM and 10:50 PM? 627 How many minutes are there between 12:05 AM and 11:14 AM? 669 How many minutes are there between 9:15 AM and 8:10 PM? 655 What is 643 minutes before 11:39 PM? 12:56 PM What is 376 minutes after 2:21 PM? 8:37 PM What is 250 minutes before 9:58 PM? 5:48 PM What is 623 minutes after 12:02 AM? 10:25 AM How many minutes are there between 2:19 AM and 12:35 PM? 616 How many minutes are there between 5:53 AM and 4:56 PM? 663 How many minutes are there between 10:14 AM and 9:11 PM? 657 What is 172 minutes after 9:48 PM? 12:40 AM What is 52 minutes after 10:45 AM? 11:37 AM How many minutes are there between 1:48 AM and 4:41 AM? 173 What is 173 minutes after 10:17 PM? 1:10 AM How many minutes are there between 8:50 AM and 12:07 PM? 197 How many minutes are there between 6:17 AM and 9:07 AM? 170 What is 309 minutes before 12:16 PM? 7:07 AM How many minutes are there between 12:31 AM and 1:06 AM? 35 What is 625 minutes after 11:49 PM? 10:14 AM How many minutes are there between 4:35 AM and 12:29 PM? 474 What is 128 minutes after 3:08 AM? 5:16 AM How many minutes are there between 7:36 AM and 9:43 AM? 127 What is 480 minutes after 9:09 AM? 5:09 PM How many minutes are there between 4:12 AM and 3:45 PM? 693 How many minutes are there between 3:40 PM and 11:05 PM? 445 How many minutes are there between 5:42 AM and 5:09 PM? 687 What is 576 minutes after 1:33 PM? 11:09 PM What is 211 minutes after 9:59 AM? 1:30 PM How many minutes are there between 11:25 AM and 4:40 PM? 315 How many minutes are there between 6:42 AM and 3:04 PM? 502 How many minutes are there between 6:56 AM and 5:08 PM? 612 What is 539 minutes after 5:45 PM? 2:44 AM How many minutes are there between 2:08 AM and 5:30 AM? 202 How many minutes are there between 11:08 PM and 11:17 PM? 9 How many minutes are there between 12:06 PM and 3:17 PM? 191 What is 655 minutes after 7:38 AM? 6:33 PM What is 353 minutes before 2:53 AM? 9:00 PM What is 251 minutes before 6:14 AM? 2:03 AM What is 39 minutes after 7:32 AM? 8:11 AM What is 501 minutes before 9:19 PM? 12:58 PM How many minutes are there between 5:19 PM and 8:48 PM? 209 How many minutes are there between 5:15 AM and 4:55 PM? 700 What is 166 minutes before 8:02 AM? 5:16 AM What is 366 minutes after 8:29 PM? 2:35 AM How many minutes are there between 6:38 PM and 6:07 AM? 689 What is 402 minutes after 6:58 PM? 1:40 AM What is 148 minutes before 11:40 AM? 9:12 AM What is 320 minutes before 3:46 AM? 10:26 PM What is 507 minutes before 11:43 AM? 3:16 AM How many minutes are there between 3:25 PM and 7:35 PM? 250 How many minutes are there between 11:20 AM and 11:14 PM? 714 How many minutes are there between 6:04 AM and 11:24 AM? 320 What is 120 minutes after 7:44 AM? 9:44 AM How many minutes are there between 8:43 PM and 10:38 PM? 115 How many minutes are there between 12:23 AM and 2:59 AM? 156 What is 538 minutes before 2:15 AM? 5:17 PM How many minutes are there between 7:58 AM and 6:59 PM? 661 What is 40 minutes before 10:08 AM? 9:28 AM What is 532 minutes after 5:33 PM? 2:25 AM What is 546 minutes before 4:32 PM? 7:26 AM What is 244 minutes before 4:50 PM? 12:46 PM How many minutes are there between 9:23 AM and 7:22 PM? 599 What is 428 minutes before 6:54 AM? 11:46 PM What is 173 minutes after 1:25 PM? 4:18 PM How many minutes are there between 4:43 AM and 8:49 AM? 246 What is 492 minutes before 2:03 AM? 5:51 PM How many minutes are there between 8:27 PM and 5:47 AM? 560 How many minutes are there between 5:24 AM and 10:33 AM? 309 What is 623 minutes before 3:15 AM? 4:52 PM How many minutes are there between 9:48 AM and 4:34 PM? 406 How many minutes are there between 5:58 AM and 1:51 PM? 473 What is 676 minutes after 9:47 PM? 9:03 AM How many minutes are there between 4:50 AM and 8:46 AM? 236 What is 457 minutes after 1:00 AM? 8:37 AM What is 556 minutes before 3:58 AM? 6:42 PM What is 481 minutes before 2:26 PM? 6:25 AM What is 251 minutes before 2:08 PM? 9:57 AM How many minutes are there between 5:51 AM and 4:56 PM? 665 How many minutes are there between 9:41 AM and 6:03 PM? 502 What is 243 minutes after 10:19 PM? 2:22 AM How many minutes are there between 12:47 AM and 4:58 AM? 251 How many minutes are there between 12:07 PM and 2:53 PM? 166 What is 101 minutes after 4:12 AM? 5:53 AM What is 526 minutes before 5:16 AM? 8:30 PM What is 553 minutes after 8:02 AM? 5:15 PM How many minutes are there between 8:05 AM and 12:02 PM? 237 How many minutes are there between 3:38 PM and 10:26 PM? 408 How many minutes are there between 6:49 AM and 10:03 AM? 194 How many minutes are there between 7:19 PM and 10:41 PM? 202 How many minutes are there between 8:50 AM and 8:52 AM? 2 How many minutes are there between 3:56 PM and 1:13 AM? 557 What is 9 minutes before 2:17 AM? 2:08 AM How many minutes are there between 12:21 PM and 11:58 PM? 697 What is 624 minutes after 12:57 PM? 11:21 PM How many minutes are there between 4:52 PM and 5:59 PM? 67 What is 388 minutes after 9:25 PM? 3:53 AM How many minutes are there between 7:02 AM and 2:36 PM? 454 How many minutes are there between 3:42 AM and 4:07 AM? 25 What is 501 minutes before 5:58 PM? 9:37 AM What is 310 minutes before 12:31 PM? 7:21 AM How many minutes are there between 12:34 AM and 10:58 AM? 624 How many minutes are there between 10:36 PM and 9:40 AM? 664 How many minutes are there between 4:40 AM and 1:57 PM? 557 How many minutes are there between 7:00 PM and 4:03 AM? 543 What is 252 minutes after 12:04 AM? 4:16 AM What is 160 minutes before 11:24 AM? 8:44 AM How many minutes are there between 1:36 PM and 12:23 AM? 647 What is 535 minutes after 7:21 PM? 4:16 AM How many minutes are there between 6:53 PM and 1:09 AM? 376 What is 117 minutes after 6:14 AM? 8:11 AM How many minutes are there between 11:04 PM and 6:12 AM? 428 What is 298 minutes before 9:07 AM? 4:09 AM How many minutes are there between 9:00 PM and 9:33 PM? 33 How many minutes are there between 12:07 PM and 8:20 PM? 493 How many minutes are there between 12:25 AM and 10:50 AM? 625 How many minutes are there between 9:50 AM and 12:55 PM? 185 How many minutes are there between 6:05 AM and 5:27 PM? 682 What is 428 minutes after 4:55 AM? 12:03 PM How many minutes are there between 3:30 AM and 1:54 PM? 624 What is 137 minutes before 9:54 AM? 7:37 AM How many minutes are there between 10:07 AM and 5:57 PM? 470 How many minutes are there between 5:03 AM and 3:20 PM? 617 How many minutes are there between 12:44 AM and 12:00 PM? 676 How many minutes are there between 6:56 PM and 7:06 PM? 10 How many minutes are there between 2:48 PM and 4:04 PM? 76 What is 599 minutes after 4:27 PM? 2:26 AM What is 145 minutes after 3:03 PM? 5:28 PM How many minutes are there between 4:32 AM and 3:15 PM? 643 How many minutes are there between 1:37 AM and 8:49 AM? 432 How many minutes are there between 8:15 PM and 1:01 AM? 286 What is 491 minutes before 8:41 PM? 12:30 PM What is 611 minutes before 1:30 PM? 3:19 AM What is 596 minutes after 9:32 AM? 7:28 PM What is 249 minu
{ "pile_set_name": "DM Mathematics" }
667/5 + -134. Find the common denominator of ((-3)/12)/(q/(-220)) and z. 15 Let h(n) = n**2 - 3*n - 20. Let j be h(6). What is the smallest common multiple of 22 and (-1 - -2)*(1 - -3 - j)? 66 Let y be 4*(-10)/(-8) - 3. Calculate the common denominator of ((-441)/(-144))/(y/4) and 67/10. 40 What is the common denominator of (-56)/(-56)*134/424 and 45/28? 1484 Suppose 4 = y + 2. Let b(l) = 6*l**2 - 3*l + 4. What is the smallest common multiple of b(2) and y? 22 Let r = -480 - -258. Calculate the common denominator of 23/14 and (r/(-3 + 5))/(-22). 154 Let u be (4/(-6))/(10/(-90)). Find the common denominator of (71/48)/((-2)/6)*-4 and ((-5)/u)/((-2)/30). 4 Let u = 4723 + -8840. Let f be 8/6 + u/(-60). Let r = -287/4 + f. Find the common denominator of -30/7 and r. 35 Let i be 5599/18*(-138)/(-4). Let v = i - 10743. Find the common denominator of v and (-499)/(-70) - 4*(-2)/(-40). 84 Let o be (-10 + (-25)/5)*14/(-2). Calculate the least common multiple of (-14)/3*(-450)/o and 106. 1060 What is the common denominator of ((-207)/(-60))/(6/(-15)) and 7/50? 200 Suppose 26*c - 99 = 1773. Calculate the smallest common multiple of c and 14. 504 Let h(v) = -v**2 - 26*v - 28. Let o be h(-12). Let r be -2 + 1 - (-2 + 3). What is the common denominator of ((-170)/o)/(r/(-8)) and -27/2? 14 Let g(t) = -t**3 + 34*t**2 - 29*t - 17. What is the smallest common multiple of 65 and g(33)? 1495 Suppose 2*y - 120 = 4. Suppose 0 = z + 3*u + 13, 2*z - 2*u = -6*u - 8. What is the smallest common multiple of y and z? 434 Let u(a) = -5*a**3 + a**2 - 36*a - 36. Calculate the lowest common multiple of 215 and u(-1). 1290 Suppose 4 = -5*r - 56. Find the common denominator of -11*(30/(-9) - -3) and 2 + -3 + 242/r. 6 Suppose -3*k = y - 3, 5*k - 20 - 5 = 5*y. Let o(f) = -6*f - 4. Calculate the lowest common multiple of 12 and o(y). 84 Let w = 2/41761 + -5053141/1252830. Calculate the common denominator of -11/27 and w. 270 What is the common denominator of 27/16 and 298/24 + (-4)/(-7 + 11)? 48 Let l = 451 - 365. Suppose 0 = i + i - 6. What is the least common multiple of l and i? 258 Let y(b) = b**2 - 3*b. Let t be (-330)/(-77) + 2/(-7). Suppose -t*u + 39 = -5*g, -5*u + 33 = -u - 3*g. Calculate the lowest common multiple of u and y(4). 12 Let b = 399561/138635 + 2/8155. Find the common denominator of b and -4. 17 Let k = -227 + -543. Let h = -2378/3 - k. What is the common denominator of h and -50/17? 51 Suppose -660 = 642*u - 647*u. Calculate the lowest common multiple of 44 and u. 132 Let v be 2/(-2232)*(-2)/16. Let a = 23993/8928 + v. Let c = -107543/42 + 7696/3. Calculate the common denominator of a and c. 112 Let q be (-4 - -13 - 0) + -4. Suppose -w - w + 38 = 5*x, 0 = -3*w + q*x + 32. Calculate the least common multiple of w and 18. 126 Let r = 13391/35442 - -13/358. Find the common denominator of -10/51 and r. 1683 What is the smallest common multiple of 80 and (30/(-25))/((-4)/320)? 480 Let p = -21524/57 + -383/57. Let d = -396 - p. Let a = 19276/7 - 2747. Calculate the common denominator of d and a. 21 Let t = -41 + 34. Let w be (-1 + 1)*t/14. Suppose w = 5*x - x - 36. Calculate the smallest common multiple of 9 and x. 9 Suppose -20*z = -12*z + 48. Calculate the common denominator of 597/360 - ((-8)/z)/4 and 9/28. 280 What is the least common multiple of 8 and (3/(-4))/((-63)/1344)? 16 Suppose 2*y + 2 = y. Let k = 2 - y. Suppose -5*n = k*f - 49, 3*f = -2*f + 5. What is the lowest common multiple of 11 and n? 99 Let u be 761/4 + (-9)/36. Let p = u - 324. What is the common denominator of p/(-18) + 22/(-99) and 25/6? 18 Suppose 4*u = -u + 5. What is the common denominator of ((-6)/(-99))/(u + (-83)/84) and -49/4? 44 Let v = -23 + 27. Suppose v*i - 12319 = -1123. Let d = -33647/12 + i. Calculate the common denominator of d and 31/18. 36 Suppose 3*d + 26 = 4*d. Let h = -22 + d. Suppose h*k - 40 = 2*k. Calculate the smallest common multiple of 2 and k. 20 Let c = 3 + 3. Calculate the smallest common multiple of 1 and c. 6 Let n = -89 + 107. Calculate the lowest common multiple of n and 6. 18 Let c = -31663/26 - -1217. What is the common denominator of -31/143 and c? 286 Let d(q) = -11*q - 29. Calculate the lowest common multiple of 18 and d(-3). 36 Suppose -2*f - 2*f = 0. Let x(v) = 5*v + 9. Let h(z) = 11*z + 18. Let l(y) = -6*h(y) + 13*x(y). What is the lowest common multiple of l(f) and 9? 9 Let u = -2/1359 - 33967/5436. Calculate the common denominator of 61/44 and u. 44 What is the least common multiple of (14 + -15)/(1/(-28)) and 190? 2660 Suppose 5*v + 8 = v. What is the common denominator of (5/5)/(-5)*(-37)/v and -49/16? 80 Let t = -70901/379824 + -1/3088. Calculate the common denominator of 83/15 and t. 615 Suppose -2*w + 6*w - 44 = 0. Suppose -p - 36 = -3*p. Let x = p - w. Calculate the smallest common multiple of 1 and x. 7 Let d = -91349029/4400928 + 768/37. Let l = 303019/594720 - d. Calculate the common denominator of -29/14 and l. 210 Suppose -14 + 42 = -4*f. Calculate the common denominator of 5/12 and (-222)/(-336) - (-2)/f. 24 Let u be ((-72)/60)/(6/(-20)). Let m = -2256 + 36051/16. Find the common denominator of u/(-32)*94 - (3 - 2) and m. 16 Suppose 5*u - 3*u - 78 = -3*i, 4*u - 158 = -5*i. What is the lowest common multiple of u and 1? 42 Let y(n) = -2*n**3 + n - 2. Let x be y(1). Find the common denominator of (x - -1)/(72/(-258)) and -73/30. 30 Let f = 1517 + -66673/44. What is the common denominator of -25/4 and f? 44 Let a = 1966 + -3843/2. What is the common denominator of ((-9)/(-30))/(72/1005) and a? 16 Suppose -y = m - 5*m + 6, -10 = -y - 4*m. Calculate the smallest common multiple of 30 - (10 + -8) - 8 and y. 20 Let m(z) = -2*z - 5*z + 7*z + 1 + z + z**3. Let a be m(-1). What is the lowest common multiple of 660/72 - a/(-6) and 23? 207 Let f be 22/55 + 38668618/1180. Let p = f - 32770. What is the common denominator of p and 21/22? 1298 Let g(q) = 3*q + 16. Let i(u) = u - 24 + 7 + 2*u - 5*u. Let f(d) = -3*g(d) - 2*i(d). What is the lowest common multiple of 8 and f(-6)? 16 Calculate the common denominator of 151/354 and 292/56 - 24/16. 2478 Calculate the common denominator of (5*(-1070)/6000)/((-2)/6) and (-2)/3 - (-406)/24. 40 Let h be -3 + 6 - ((-267490)/(-28))/(-5). Let q = -1912 + h. Let i = 2/3305 - 56201/26440. Find the common denominator of q and i. 56 Suppose 2*o - 7*o = 5*j - 195, -2*j + o + 87 = 0. Calculate the smallest common multiple of j and 35. 210 Let h be 2/(-6*(-3 - (-40)/12)). Let k(i) = i + i**2 + 0 + 4 - 2. What is the least common multiple of 2 and k(h)? 2 Suppose -4*c + 307 = 47. Calculate the least common multiple of c and 52. 260 What is the common denominator of 13/10 and (-20712)/1248 - 4/26? 20 Let n = 366741/50 - 7334. What is the common denominator of 59/10 and n? 50 Let m(r) = r - 55. Let c be m(20). Find the common denominator of 2/2 - 295/30 and (-93)/(-4)*(-14)/c - 1. 30 Let b be 4/(-6)*(-29 - 7). Suppose 8*n - b = 5*n. Calculate the smallest common multiple of n and 14. 56 Let x = -6/5323 - -197959/894264. Let k = x + -4441/840. What is the common denominator of k and (-66)/4*9/(-378)*16? 105 Suppose -5*g - 15 = -a, -4*a - 5*g = -g + 60. Let o = a - -12. Let p(d) = -d + 16. What is the least common multiple of o and p(8)? 8 Suppose 0 = -i + 3*q + 305, -6*i + 306 = -5*i - 2*q. Calculate the lowest common multiple of i and 264. 1848 Suppose 4*y + 5*k - 10 = -y, -5*k - 26 = -y. Calculate the least common multiple of y and 4. 12 Let h(w) = -24*w - 19*w**2 + 4*w**2 + 23*w + 1. Let x be h(1). What is the common denominator of (425/x)/((-8)/6) and 6/11? 44 What is the common denominator of (-342)/100*(-75)/90 and 127/108? 540 Let d = 7 - -137. Calculate the smallest common multiple of d and 96. 288 Suppose -2*o = 7 - 19. What is the smallest common multiple of (-180)/(-22) + o/(-33) and 4? 8 Let u = 5/14311 + 2074255/2404248. Calculate the common denominator of 93/20 and u. 840 Let k(u) = 496*u - 4. Let a be k(4). Let v = -1809 - -987. Find the common denominator of v/a + (-2)/(-11) and 65/22. 330 Let s = 1630 - 1622. Calculate the least common multiple of 1026 and s. 4104 Find the common denominator of ((322 - 1)/3)/100 and -101/10. 100 Let d be 26/((-2)/(-3) + -1). Suppose 3*v - 84 = 6*v. Find the common denomi
{ "pile_set_name": "DM Mathematics" }
rt -664 (base 7) to base 6. -1324 7c3 (base 14) to base 16 607 -1000100000001011 (base 2) to base 4 -20200023 Convert -1251 (base 6) to base 14. -18b Convert -1ac (base 16) to base 5. -3203 Convert 1304 (base 5) to base 10. 204 Convert -130310 (base 4) to base 12. -1098 What is 1110111110 (base 2) in base 13? 589 Convert -aac1 (base 15) to base 7. -210325 Convert -1101022 (base 4) to base 2. -1010001001010 7077 (base 8) to base 5 104042 Convert -517 (base 13) to base 14. -45b 4413 (base 9) to base 12 1a70 -2031 (base 5) to base 11 -222 Convert a91 (base 16) to base 5. 41310 34111 (base 6) to base 10 4795 What is -26c1 (base 16) in base 8? -23301 -311e (base 16) to base 7 -51442 Convert 20 (base 16) to base 3. 1012 -115055 (base 6) to base 5 -311222 665 (base 9) to base 5 4140 Convert 32534 (base 7) to base 8. 17737 Convert 221230 (base 4) to base 14. d88 -45106 (base 8) to base 16 -4a46 11020221 (base 4) to base 2 101001000101001 352 (base 12) to base 2 111101110 What is 3516 (base 10) in base 2? 110110111100 What is -3333 (base 5) in base 9? -570 1112120 (base 5) to base 11 13853 28036 (base 10) to base 14 a308 Convert 101211 (base 3) to base 7. 565 23584 (base 10) to base 5 1223314 -15a (base 15) to base 7 -622 What is 22201 (base 3) in base 9? 281 24 (base 7) to base 8 22 4642 (base 9) to base 7 13013 What is -704 (base 8) in base 2? -111000100 103a0 (base 14) to base 3 1222200210 18377 (base 13) to base 4 23122112 -1040 (base 8) to base 7 -1405 13617 (base 10) to base 11 a25a What is 98 (base 14) in base 4? 2012 845 (base 14) to base 4 121131 Convert 800 (base 13) to base 8. 2510 Convert 42066 (base 9) to base 11. 19949 102555 (base 6) to base 13 3aac Convert 7e71 (base 16) to base 10. 32369 Convert -ae1 (base 16) to base 13. -1363 Convert 329 (base 11) to base 5. 3034 -111000011000 (base 2) to base 5 -103413 What is -13772 (base 8) in base 6? -44230 What is -437 (base 15) in base 3? -1022021 Convert 40552 (base 7) to base 8. 23236 -210440 (base 6) to base 8 -41170 What is 4641 (base 11) in base 12? 363b -300021 (base 4) to base 2 -110000001001 What is -30230 (base 4) in base 16? -32c Convert -1017 (base 14) to base 10. -2765 Convert 433 (base 5) to base 15. 7d -111004 (base 5) to base 9 -5280 Convert -23044 (base 5) to base 6. -11345 -1001101100000 (base 2) to base 16 -1360 Convert 55252 (base 9) to base 7. 211610 Convert -1011012 (base 3) to base 2. -1101001010 What is 12986 (base 10) in base 13? 5bac Convert -c31b (base 15) to base 2. -1010000011110001 Convert -6455 (base 15) to base 12. -10352 Convert -1365 (base 8) to base 5. -11012 What is -280 (base 13) in base 2? -110111010 Convert 1057 (base 9) to base 8. 1415 What is -163 (base 14) in base 15? -13d -1aa (base 15) to base 5 -3020 Convert 10000000000 (base 2) to base 6. 4424 -81 (base 14) to base 12 -95 -421322 (base 5) to base 10 -13962 Convert -14 (base 7) to base 15. -b Convert -245 (base 9) to base 11. -175 What is 5515 (base 7) in base 14? a0c What is a9d8 (base 14) in base 2? 111001011010010 What is -1adc (base 15) in base 10? -5832 What is -4035 (base 7) in base 2? -10101110110 233031 (base 4) to base 16 bcd What is 2013224 (base 5) in base 7? 163132 16656 (base 11) to base 4 11231312 Convert 4e7b (base 15) to base 12. 9852 10826 (base 10) to base 5 321301 122120 (base 3) to base 5 3344 37a (base 14) to base 9 853 What is 638 (base 10) in base 5? 10023 Convert 3c3 (base 16) to base 5. 12323 What is 16560 (base 8) in base 9? 11303 34fa (base 16) to base 3 200121022 What is -3234 (base 7) in base 12? -800 Convert -132c (base 13) to base 8. -5266 Convert 35b5 (base 14) to base 3. 110212002 Convert -1141 (base 5) to base 9. -210 What is 214 (base 12) in base 8? 460 What is -21024 (base 5) in base 16? -56d -12121 (base 4) to base 10 -409 10975 (base 13) to base 12 1556a What is 1041324 (base 5) in base 11? 12862 Convert 173 (base 15) to base 5. 2313 Convert -2e2 (base 16) to base 4. -23202 1201 (base 7) to base 9 541 What is -25023 (base 12) in base 10? -50139 -13424 (base 6) to base 3 -2212221 What is 134 (base 16) in base 5? 2213 -61552 (base 7) to base 16 -3ab7 -421 (base 14) to base 3 -1010010 Convert 133220 (base 5) to base 6. 41055 What is -20317 (base 11) in base 8? -71737 -43411 (base 8) to base 2 -100011100001001 Convert -347 (base 14) to base 2. -1010001011 3237 (base 8) to base 3 2022210 Convert -3333 (base 5) to base 14. -256 Convert -556 (base 9) to base 8. -710 -41032 (base 5) to base 7 -10463 Convert 721 (base 8) to base 14. 253 Convert 2416 (base 7) to base 11. 744 What is 5615 (base 16) in base 11? 15614 Convert -30222 (base 7) to base 16. -1c95 1604 (base 8) to base 6 4100 Convert -222212211 (base 3) to base 9. -28784 Convert -546 (base 8) to base 16. -166 -cc7 (base 16) to base 14 -1299 Convert -42b8 (base 12) to base 2. -1110010101100 Convert 9a0 (base 12) to base 14. 732 Convert 2165 (base 8) to base 6. 5141 Convert ec4c (base 16) to base 2. 1110110001001100 Convert -8b6 (base 16) to base 12. -135a Convert -960 (base 12) to base 15. -613 2140 (base 6) to base 16 1ec 33031 (base 4) to base 11 805 Convert -14442 (base 8) to base 10. -6434 a0a (base 14) to base 3 2200222 Convert 100011 (base 2) to base 14. 27 Convert -1434 (base 13) to base 16. -b64 -382 (base 11) to base 15 -203 What is 795 (base 14) in base 4? 113133 What is -1204 (base 12) in base 10? -2020 Convert 8354 (base 10) to base 2. 10000010100010 Convert 7632 (base 11) to base 13. 4783 4b8 (base 16) to base 7 3344 b665 (base 12) to base 16 4ded Convert 310022 (base 4) to base 10. 3338 What is -101201202 (base 3) in base 16? -1e8f Convert -1142001 (base 5) to base 4. -11033331 Convert 100010101110 (base 2) to base 8. 4256 Convert 557 (base 8) to base 16. 16f What is -2521 (base 8) in base 11? -1028 What is -4506 (base 8) in base 2? -100101000110 Convert -baa (base 12) to base 4. -122302 What is 10331 (base 5) in base 7? 2042 Convert -9443 (base 11) to base 13. -5904 Convert -230321 (base 4) to base 16. -b39 -e1a (base 16) to base 2 -111000011010 Convert -8460 (base 9) to base 12. -3716 22012 (base 3) to base 6 1005 What is -13652 (base 8) in base 7? -23443 What is -372 (base 9) in base 2? -100110100 Convert -12122 (base 4) to base 10. -410 -426 (base 9) to base 13 -20a Convert 132500 (base 6) to base 8. 27764 Convert -1111011010110 (base 2) to base 15. -2514 Convert -23020 (base 5) to base 15. -740 -2231 (base 6) to base 16 -20b What is 110111100011000 (base 2) in base 15? 8660 What is -3540 (base 7) in base 6? -10010 What is -f23f (base 16) in base 15? -13595 What is -35b9 (base 13) in base 3? -101102001 12110101 (base 3) to base 7 14413 232677 (base 8) to base 12 39a7b What is -6576 (base 9) in base 7? -20064 What is 13797 (base 10) in base 6? 143513 What is 5007 (base 8) in base 3? 10112002 -1a1 (base 16) to base 15 -1cc -848 (base 9) to base 13 -413 What is -11001010011 (base 2) in base 13? -977 What is -1001010210 (base 3) in base 5? -1124024 What is -633 (base 9) in base 2? -1000000100 Convert -1010100 (base 2) to base 12. -70 What is -3570 (base 12) in base 16? -1764 1201112 (base 3) to base 12 888 What is -2c5 (base 14) in base 11? -474 -173 (base 13) to base 16 -107 What is 10012212 (base 3) in base 6? 14505 What is 2020 (base 5) in base 12? 198 -24199 (base 10) to base 7 -130360 What is 2c73 (base 13) in base 3? 22221100 -2044 (base 13) to base 11 -3386 10122 (base 3) to base 4 1202 Convert -41420 (base 5) to base 4. -222233 Convert -121403 (base 5) to base 7. -16264 Convert 37 (base 11) to base 9. 44 What is 754b (base 15) in base 7? 132236 6a4 (base 16) to base 15 785 What is -3eb (base 16) in base 12? -6b7 Convert 3483 (base 13) to base 8. 16316 238 (base 15) to base 3 200122 6b8 (base 14) to base 16 53a What is -1111430 (base 5) in base 2? -100110010011111 What is 20 (base 10) in base 2? 10100 a1a4 (base 13) to base 9 33487 What is 10031 (base 5) in base 6? 2545 -3822 (base 14) to base 4 -2121212 What is -62 (base 13) in base 9? -88 Convert -4141 (base 15) to base 12. -7b8a Convert -13031 (base 4) to base 7. -1226 What is 24320 (base 5) in base 8? 3453 136 (base 16) to base 4 10312 166 (base 10) to base 6 434 Convert -5825 (base 9) to base 6. -31552 Convert 42c8 (base 15) to base 7.
{ "pile_set_name": "DM Mathematics" }
). Suppose -z = 2*z + 3, -4*f - 4*z = -8. Determine x so that -2*x**4 + u*x - 7 + x**4 - 6*x**2 + 6 + 4*x**f = 0. 1 Let u(c) be the third derivative of 0*c**3 + 0 + 1/600*c**5 + c**2 + 1/240*c**4 + 0*c. Find t, given that u(t) = 0. -1, 0 Let l(r) be the first derivative of r**5/690 + r**4/138 + r**3/69 - 21*r**2 - 13. Let u(j) be the second derivative of l(j). Suppose u(q) = 0. What is q? -1 Let g = 39 - 52. Let d be 4/(-14)*(g + 6). Factor -2/7 + 2/7*f**d - 2/7*f**3 + 2/7*f. -2*(f - 1)**2*(f + 1)/7 Factor -92/3 + 88/3*v - 19/3*v**2 - 1/3*v**3. -(v - 2)**2*(v + 23)/3 Suppose -42/5*m + 2/5*m**2 - 92/5 = 0. Calculate m. -2, 23 Let a be (8/180)/((-8)/(-10)). Let f(l) be the second derivative of 2*l + 0 + 3*l**2 + a*l**4 - 2/3*l**3. Let f(o) = 0. Calculate o. 3 Let o(d) be the second derivative of -27*d**7/35 + 42*d**6/25 + 34*d**5/25 + 4*d**4/15 + 2*d - 1. Factor o(r). -2*r**2*(r - 2)*(9*r + 2)**2/5 Let p(a) be the third derivative of 0 + 0*a - 10*a**2 + 1/300*a**5 - 1/30*a**3 + 0*a**4. Factor p(d). (d - 1)*(d + 1)/5 Let d = -401 + 406. Let z(m) be the third derivative of m**2 + 0 - 9/2*m**4 + 2*m**3 + 81/20*m**d + 0*m. Factor z(x). 3*(9*x - 2)**2 Let y(z) be the second derivative of -z**7/840 + z**6/480 + 3*z**2 + 15*z. Let r(j) be the first derivative of y(j). Suppose r(u) = 0. Calculate u. 0, 1 Let c(d) be the third derivative of d**5/90 - d**4/12 - 36*d**2. Let c(w) = 0. What is w? 0, 3 Let u = -191 - -196. Suppose 0 = u*o + 2*o - 14. Suppose 2/9*n - 2/9*n**o + 0 = 0. What is n? 0, 1 Let p be ((-200)/(-350))/((-12)/(-14)). Determine q, given that -2/15*q**2 - 10/3*q**5 + p*q**4 - 32/15*q - 8/15 + 82/15*q**3 = 0. -1, -2/5, 1 Suppose 7*w + 13 - 27 = 0. Let -13*c**w - 2 + 3*c**2 + 2 + 15*c - 5*c**3 = 0. What is c? -3, 0, 1 Suppose 3 = -3*h + 3*c, -2*h + 0*c + 18 = 3*c. Factor 4*i + 3*i**4 - i**3 - 8*i**h + 8*i + 0*i**4. 3*i*(i - 2)**2*(i + 1) Let x be 5*((-7)/(-5) + 1). Suppose x = 12*q - 8*q. Let 45*v**5 + 6*v**4 + 28*v**3 + 2*v**2 - 8*v**2 - 73*v**q = 0. Calculate v. -1, -2/15, 0, 1 Let s(t) be the second derivative of t**6/15 + 2*t**5/5 + 2*t**4/3 + 13*t - 1. Factor s(m). 2*m**2*(m + 2)**2 Let k be 2 + 3 + 18/(-6). Suppose -2*i - 3*p + 18 = -4, 0 = k*i + 5*p - 30. Factor 0*a**3 + a**i + a + a**3 - 3*a**3. a*(a - 1)**2*(a + 1)**2 Let u(m) be the second derivative of 2/11*m**2 + m + 1/66*m**4 - 1/11*m**3 + 0. Determine v, given that u(v) = 0. 1, 2 Let h(l) be the second derivative of -l**6/2700 + l**5/900 + 5*l**3/6 - 2*l. Let p(t) be the second derivative of h(t). Factor p(z). -2*z*(z - 1)/15 Let q(s) be the first derivative of -2*s**2 - 3 + 0*s**3 - 1/36*s**4 - 2/135*s**5 + 0*s. Let g(v) be the second derivative of q(v). Suppose g(j) = 0. What is j? -3/4, 0 Let j(l) be the third derivative of l**6/330 + 19*l**5/110 + 35*l**4/11 + 196*l**3/33 + 2*l**2 - 8*l. Factor j(w). 2*(w + 14)**2*(2*w + 1)/11 Suppose -2*h + 22 = -0*h. Let 4*w + 2*w**3 - 2 + 5*w**2 + 4*w - 2*w - h*w**2 = 0. Calculate w. 1 Let m(b) be the third derivative of -b**8/2520 + b**7/630 + 11*b**3/3 - 9*b**2. Let f(j) be the first derivative of m(j). Let f(l) = 0. Calculate l. 0, 2 Let m(o) be the first derivative of -5*o**6/18 - o**5/3 + 5*o**4/12 + 5*o**3/9 - 2. Solve m(v) = 0 for v. -1, 0, 1 Let w be (-12*(-16)/(-1664))/((-6)/13). Factor 0 + 1/4*m**3 + w*m**5 + 3/4*m**4 - 3/4*m**2 - 1/2*m. m*(m - 1)*(m + 1)**2*(m + 2)/4 Factor -1/2*h**3 - 2*h + 0 + 2*h**2. -h*(h - 2)**2/2 Suppose 3*d = k + 17, -2*k - 16 + 2 = -d. Let z(x) be the second derivative of 0*x**2 - 1/12*x**3 - x + 1/40*x**5 + 1/24*x**d - 1/60*x**6 + 0. Factor z(l). -l*(l - 1)**2*(l + 1)/2 Suppose 8 = 4*k - 0. Suppose 3*f + s - 2 = 0, 2*f - 10 = 2*s + k. What is u in 6 + 0*u**f - u**2 + 0*u**2 - 22 - 8*u = 0? -4 Let x be 53 + 58330/(-1102) - 251/(-145). Determine f, given that 3/5*f**5 - 9/5*f**2 + x*f**4 - 6/5*f + 3/5*f**3 + 0 = 0. -2, -1, 0, 1 Let z(a) be the second derivative of a**7/17640 - a**6/1260 + a**5/210 + 41*a**4/12 - 19*a. Let m(c) be the third derivative of z(c). Factor m(u). (u - 2)**2/7 Let s(p) = -p**3 - 3*p**2 + 34*p + 76. Let b be s(-2). Factor -9*c**2 - 3/2*c**b + 6*c**3 + 6*c - 3/2. -3*(c - 1)**4/2 Let v = -6 - -1. Let r(w) = -40*w**5 - 18*w**4 + 22*w**3 - 12*w + 12. Let f(z) = -16*z**5 - 7*z**4 + 9*z**3 - 5*z + 5. Let c(u) = v*r(u) + 12*f(u). Factor c(d). 2*d**3*(d + 1)*(4*d - 1) Let n = -56 + 36. Let i be (-1)/(-6)*16*(-1)/n. Find h, given that 2/15*h**2 - 2/15*h**3 + 0*h - i*h**4 + 2/15*h**5 + 0 = 0. -1, 0, 1 Let q(b) be the second derivative of -5*b**7/42 - 2*b**6/3 - b**5/2 + 5*b**4/3 + 5*b**3/2 - 58*b. Determine u, given that q(u) = 0. -3, -1, 0, 1 Suppose 14/3 - 2*k**3 + 3*k - 11/3*k**2 = 0. What is k? -2, -1, 7/6 Let l(n) be the second derivative of 0 + n**3 - 3/2*n**2 - 4*n - 1/4*n**4. Suppose l(u) = 0. Calculate u. 1 Let m(b) = -15*b + 648. Let u be m(43). What is f in 27/7*f + 18/7*f**2 + 12/7 + 3/7*f**u = 0? -4, -1 Let m(p) be the first derivative of p**3/9 - 5*p**2/6 + 4*p/3 - 27. Find u such that m(u) = 0. 1, 4 Suppose -32/15*w + 24/5 - 2/15*w**2 = 0. Calculate w. -18, 2 Let s = -4901 + 4904. Factor 18/5*a - 2*a**s + 6/5*a**2 + 0 + 2/5*a**4. 2*a*(a - 3)**2*(a + 1)/5 Let o(v) be the second derivative of -1/80*v**5 + 1/56*v**7 + 0*v**2 + 0*v**4 - 21*v + 0*v**3 + 0 + 1/60*v**6. Factor o(s). s**3*(s + 1)*(3*s - 1)/4 Let c(u) be the first derivative of -u**5/5 - 15*u**4/4 + 27. Let c(m) = 0. What is m? -15, 0 Let o(n) be the third derivative of -n**8/2520 - 4*n**7/525 - 29*n**6/900 - n**5/25 - 120*n**2. Solve o(v) = 0. -9, -2, -1, 0 Let a(y) be the third derivative of y**8/280 + y**7/30 + 17*y**6/180 + y**5/10 - 10*y**3/3 - 22*y**2. Let s(k) be the first derivative of a(k). Factor s(r). 2*r*(r + 1)*(r + 3)*(3*r + 2) Find l such that 5*l**3 + 597 + 85*l + 725 - 1182 - 50*l**2 = 0. -1, 4, 7 Let k be 2*(-2)/(-4)*-1. Let y(m) = m**2 - m. Let c(z) be the first derivative of -7*z**3 + 9*z**2 - 3. Let p(h) = k*c(h) - 18*y(h). Factor p(d). 3*d**2 Let g(x) = -x**3 - 14*x**2 + 13*x - 28. Let h be g(-15). Let v(o) be the second derivative of 4*o + 0 + 3/20*o**5 + 0*o**h - 1/2*o**4 + 0*o**3. Factor v(l). 3*l**2*(l - 2) Let c(h) be the first derivative of -4/21*h**4 + 1/14*h**5 + 4/21*h**3 + 1 + 0*h**2 - 1/105*h**6 + 2*h. Let g(s) be the first derivative of c(s). Factor g(k). -2*k*(k - 2)**2*(k - 1)/7 Let o(b) be the first derivative of -25*b**6/6 + 6*b**5 + 35*b**4/2 - 140*b**3/3 + 75*b**2/2 - 10*b - 6. Solve o(v) = 0. -2, 1/5, 1 Let s(w) = -7*w - 15. Let n be s(-4). Suppose -45*z**3 - 10*z - 30*z**4 - 5*z**5 + n*z**4 - 8*z**4 - 35*z**2 = 0. What is z? -2, -1, 0 Solve 183 + 10*t**2 - 2*t**5 - 175 - 24*t**2 + 6*t**4 + 2*t**3 = 0 for t. -1, 1, 2 Let u be (-5)/10 - (-74)/40. Let g = u + 1/4. Solve -4/5*a + 2/5*a**4 + 0 - g*a**3 + 2*a**2 = 0 for a. 0, 1, 2 Let p = 313/12 + -99/4. Let c(j) be the first derivative of j**2 + 1/24*j**4 + p*j + 4 + 1/3*j**3. Factor c(z). (z + 2)**3/6 Let q(u) = 10*u**3 + 5*u**2 + 20*u - 30. Let j(r) = -7*r**3 - 6*r**2 - 21*r + 30. Let x(o) = -5*j(o) - 4*q(o). Factor x(y). -5*(y - 3)*(y - 1)*(y + 2) Find v such that 1/4*v**3 + 9/2*v - 21/4*v**2 + 10 = 0. -1, 2, 20 Suppose -32*y = -33*y + 12. Factor -13 - 5*q**3 + 2*q**3 - 9*q**3 + 2*q**4 - 3*q**4 + y*q + 14*q**2. -(q - 1)**2*(q + 1)*(q + 13) Let i be ((-3)/84 - 2/(-7))*44. Suppose 6*z = i*z. Suppose -3/2*u**3 - 3*u**4 + z + 0*u + 0*u**2 - 3/2*u**5 = 0. Calculate u. -1, 0 Let r(u) be the first derivative of -u**3/2 - 3*u**2/2 + 9*u/2 - 59. Factor r(q). -3*(q - 1)*(q + 3)/2 Let f(m) be the second derivative of m**7/21420 - m**6/6120 - 7*m**4/12 + 3*m. Let v(r) be the third derivative of f(r). Let v(t) = 0. Calculate t. 0, 1 Let k = -75 - -83. Determine w so that -6*w**2 + 0*w**2 + 12*w**4 + 9 - 15 - k*w - 19*w + 27*w**3 = 0. -2, -1, -1/4, 1 Factor -110/17*d**3 - 436/17*d**2 - 424/17*d + 16/17. -2*(d + 2)**2*(55*d - 2)/17 Let x(u) = -2*u**3 - 10*u**2 + 4*u + 10. Let q(w) = -w**3 + w**2 - 1. Let n(g) = -2*q(g) - x(g). Factor n(v). 4*(v - 1)*(v + 1)*(v + 2) Let g = 1/82 + 20/41. Factor -3/2*x**2 + g*x + 1. -(x - 1)*(3*x + 2)/2 Factor -4/9*g**3 + 16/3*g**2 + 4/9*g - 16/3. -4*(g - 12)*(g - 1)*(g + 1)/9 Let y(h) = -h**3 - 9*h**2 - 9*h - 5. Let u be y(-8). Let c = 762 - 760. Solve -8/5 - 28/5*k**u - 12/5*k**c + 28/5*k + 4*k**4 = 0 f
{ "pile_set_name": "DM Mathematics" }
*(-3*y - 9*y - 2*y) - 4*y + 0*y + 2*y to the form l*y + k and give l. -464 Rearrange (-104*f + 70*f - 107*f)*(-f - 3*f + 2*f) + 0*f**2 + 3*f**2 - f**2 + (2 + 0 - 1)*(f**2 + f - f) to the form i*f**2 + q*f + r and give i. 285 Express 3*d - 3*d - 2*d**3 + (-d**2 - d + d)*(0 + 0 - d) - 7*d**3 - 5*d**3 + 4*d**3 - 8*d**3 + d**3 - 5*d**3 as p + n*d + q*d**3 + g*d**2 and give q. -21 Rearrange (-566 + d**2 + 0*d + 558 - d)*(-d + 3*d + 0*d)*(-8 + 3 + 3) to q*d + z + p*d**2 + f*d**3 and give f. -4 Express (4 - 1 - 2)*(-16 - 39*b + 34 - 19) + b + b - b + (0 + 1 - 2)*(-2 + 2 - b) + 0*b - b + 3*b as f + p*b and give p. -35 Rearrange -4742 + 4745 + h**2 - 41*h**2 + 2*h**2 - h**4 to g*h**2 + s*h + l*h**4 + x*h**3 + k and give k. 3 Express (1 - 4 + 2)*(-3*m + m - m)*(-1 - 17 + 5)*(-3 - 4 + 5) as d + t*m and give d. 0 Rearrange 276 - 137 - 6*r**3 - 139 + 7*r**2 to v*r + s + q*r**2 + y*r**3 and give q. 7 Express -4*c + c + 5*c - 491*c**2 + 122*c**2 in the form f + i*c**2 + k*c and give k. 2 Express 17*p**2 + 22*p**4 + 213 + 3*p - 211 - 16*p**2 in the form a*p**2 + f + u*p + n*p**4 + r*p**3 and give n. 22 Rearrange -29*j**2 - 46066*j + 4*j**3 + 46066*j to the form v*j + y + p*j**2 + t*j**3 and give t. 4 Rearrange -852*h**2 - 7*h + 1655*h**2 - 837*h**2 to the form n + a*h**2 + z*h and give a. -34 Express -39*t + 107*t + 382*t in the form j + l*t and give j. 0 Rearrange 169*n**2 - 21 + 23 - n**3 - 67*n**2 - 71*n**2 + 4*n to u*n**2 + o + c*n**3 + t*n and give c. -1 Rearrange -14*z + 82*z + 30*z + 153*z to h + c*z and give c. 251 Rearrange 1 - 1 + 3*v**4 + (-3*v + 3*v + 2*v**2)*(7691*v**2 - 7695*v**2 + 18 + 42) to the form l*v + f + b*v**3 + y*v**4 + d*v**2 and give d. 120 Express (727*z - 727*z - 95*z**3)*((2*z + z - 2*z)*(-6 + 4 + 4) + 3*z + 1 - 1 + 4*z + z - 4*z) in the form n*z**4 + m*z + h + q*z**2 + r*z**3 and give n. -570 Express (-4 - 3 + 5)*(697*r + 78 + 15 - 695*r) as h + v*r and give v. -4 Express -119*y + 171*y - 7*y**2 + 235*y + 20*y + 4*y**3 + 8*y**2 in the form i*y**2 + v*y**3 + r + a*y and give a. 307 Rearrange (-11 - 51 - 14 - 46)*(-3*v - 3*v**4 + 3*v) to the form w + j*v + t*v**2 + m*v**3 + y*v**4 and give y. 366 Express 54 - m**4 - 2*m - 2*m**2 - 55 + 10*m**3 + 2*m as u*m + b*m**2 + i + g*m**4 + c*m**3 and give g. -1 Rearrange -4529*q - 3936*q + 9714*q to d + y*q and give y. 1249 Rearrange (-54*v**4 + 52*v**4 - 3*v + v)*(-97 + 134 + 392) to q*v**4 + p*v**3 + o + t*v + y*v**2 and give t. -858 Rearrange (5*t + 0*t + 7*t)*(-8*t + 57*t + 29*t) to the form l*t + g + o*t**2 and give o. 936 Rearrange -k**3 + 362*k**2 + 2*k**3 - 319*k**2 to n*k**3 + z + o*k**2 + q*k and give n. 1 Rearrange -26*k - 38*k + 73*k - k**2 to the form q + f*k + w*k**2 and give f. 9 Express 79*f**4 - 163*f**4 - 9 - 5*f**2 + 82*f**4 - f**3 as j*f**2 + m*f**3 + q*f**4 + o + n*f and give j. -5 Express 3*c**2 - 2*c**2 + 29*c - 17*c - c**3 - 17*c in the form z*c**3 + j + d*c + g*c**2 and give d. -5 Rearrange -805 + 2*y**2 - 799 - 2*y + 1618 to the form o*y + m + h*y**2 and give o. -2 Rearrange (0 - 4 + 3)*(-107*b**2 - 393*b**2 - 104*b**2) to a + j*b + c*b**2 and give c. 604 Rearrange (-2 + 0 - 1)*(186*c - 57*c - 8*c)*(15 - 3*c - 15)*(-3*c + 3*c + 2*c**2) to the form z + r*c**3 + i*c**4 + s*c + g*c**2 and give r. 0 Express 4*n**2 + 128*n - 3*n**2 + 14*n as c + h*n**2 + m*n and give h. 1 Rearrange 2*h - 2 - 3*h**3 + 2 + 367*h**2 - 394*h**2 to the form j*h + a*h**2 + i + m*h**3 and give m. -3 Express -276*s + 292*s - 974*s as h + f*s and give f. -958 Rearrange 3*q**2 - 4*q**2 + 7 - 3*q + 6*q**4 - 5*q**4 to the form a*q**3 + g*q**4 + j + v*q + h*q**2 and give g. 1 Express (4*q - q + 8*q)*(3 + 0 - 5) - 2*q - 10*q - 5*q in the form k + t*q and give t. -39 Rearrange (2*z - 3*z - z)*(-7*z + 4*z + 8*z) + (z**2 + z**2 - 3*z**2)*(3 + 3 - 2 + (-2 + 3 - 3)*(4 + 1 - 3) + 5 - 1 - 2) to f*z + p + m*z**2 and give m. -12 Express -1 - 8*k + 3 - 21*k + 5*k - 4 as h + a*k and give h. -2 Express -2*i**4 - 324*i + 326*i + 0*i**3 - 2*i**3 + 12 as l*i**2 + z + s*i + y*i**4 + m*i**3 and give y. -2 Express -3*a**4 + a + 2*a**2 - 3 + 8*a**4 - 4*a**4 - 4*a**3 as v*a + i*a**3 + t*a**4 + n + q*a**2 and give q. 2 Rearrange -2*a**4 - 3*a**4 + a**4 + 0*a**4 + a**4 + 20*a**4 - 2*a**4 + 2 - 2 + (3 + 2 - 6)*(2*a**4 - 4 + 4) to u*a + j*a**4 + h + t*a**2 + m*a**3 and give j. 13 Express (-6 - 2 - 1)*(-t + 5*t - t) in the form g*t + d and give g. -27 Rearrange -4*b - 1 - 5*b**2 - 26*b + 32*b + b**4 - 3*b**3 to n*b**3 + r + v*b**4 + m*b + k*b**2 and give r. -1 Rearrange -1282 + 963*b + 534*b + 1282 to u*b + n and give u. 1497 Rearrange (-2*y**2 - 3 + 3)*(0*y + y - 3*y) + (3*y + y + 0*y)*(26*y**2 + 4*y**2 + 2*y**2) to the form q*y + n*y**2 + g*y**3 + v and give g. 132 Rearrange -5 + q**3 + 62*q - 2*q**3 - 2*q**2 - 71*q to the form i*q + c*q**3 + s + o*q**2 and give i. -9 Rearrange (-26*i + 2 - 4*i**3 + 26*i)*(5 - 44 - 21) to a + h*i + x*i**2 + f*i**3 and give a. -120 Express 2 + 115*z**2 + 0 - 4 - 24*z**2 + 0 in the form x + m*z + g*z**2 and give x. -2 Rearrange 6*q**4 + 5*q**4 - 9 - q**3 + 2*q + 9*q**4 - 26*q**4 + 7*q**4 to c*q**2 + o*q**3 + y + n*q + i*q**4 and give n. 2 Rearrange 2*b**3 + 118*b**2 - 12*b**2 + 5*b**2 + b**3 to h*b**3 + c*b**2 + g*b + n and give c. 111 Rearrange 7*s - s - 258*s**2 + 289*s**2 to the form u + v*s + d*s**2 and give d. 31 Rearrange -77*x**2 - 1 + 145*x**2 + x - 73*x**2 to the form g*x**2 + y*x + w and give g. -5 Rearrange -19*a**3 - 2*a**2 + 18*a**3 + 0*a**2 + 11*a**3 - 5*a to the form g*a**2 + r*a + k*a**3 + z and give k. 10 Rearrange -105 - 241 - 20 + 0*x + 2*x - 786 to the form o + h*x and give o. -1152 Express -u**2 + 37*u**4 - u**3 - 3 + 26*u - 36*u**4 - 23*u as g*u**4 + n*u**3 + q + i*u**2 + k*u and give n. -1 Express (182*a + 176*a + 18 - 353*a)*((-a + 3*a - 4*a)*(3*a - a - 3*a) + a**2 + a - a) in the form o*a**2 + x + w*a + l*a**3 and give o. 54 Rearrange (41*o**2 - 17*o**3 - 41*o**2)*(-2 + 6*o + 2) to n*o + a*o**2 + v*o**4 + f*o**3 + c and give v. -102 Rearrange -6*s**2 + 47 - 2*s**3 - 12 - 20 - 14 to y*s**3 + a*s + c + x*s**2 and give x. -6 Express 84*w**4 - 11 + 3*w**2 + 56*w**4 + w - 142*w**4 as n*w + y*w**3 + u*w**2 + x*w**4 + d and give u. 3 Rearrange (17*g + 3*g - 4*g)*(-1 - 4 + 7)*(-1 + 2 - 4) to b*g + c and give b. -96 Rearrange 4*s**2 - 24*s**3 + 15*s**3 - 3*s**2 + 4 + 4*s**4 + 7*s**3 to the form g*s**4 + h*s**3 + k + f*s**2 + l*s and give g. 4 Rearrange (-34 - 18 - 3)*(-3 + 3 - 3)*(-4 - 9*z**4 + 4) to the form k*z**4 + o*z**2 + w*z + v + c*z**3 and give k. -1485 Rearrange 184*p + 559*p + 344*p to c*p + y and give c. 1087 Rearrange 158 - 115 - 8*l - 80 to the form i*l + g and give i. -8 Rearrange 2*g**3 - 3*g**3 + 0*g**3 + (-3*g - 2*g + 6*g)*(369*g**2 - 540*g**2 - 754*g**2) to the form j*g**2 + d + z*g**3 + c*g and give z. -926 Rearrange (-2 - 1 + 2)*(p + 55*p**3 - 1 + 62*p**3 - 82*p**2 - 119*p**3) to f*p**2 + b + g*p**3 + o*p and give b. 1 Express -14*c**2 - 37*c**2 - 3*c**2 as q + y*c**2 + m*c and give q. 0 Rearrange -166*c - 69*c + 13*c to v*c + i and give v. -222 Express (-56 + 101 - 63)*(2*i - 3*i + 4*i)*(i**3 - i + i) as f*i**3 + y*i**4 + w + p*i**2 + d*i and give y. -54 Express 57*c + 294*c + 5 - 5 as y + g*c and give g. 351 Rearrange (53*m + 48*m - 55*m)*(-2 + 1 - 1 - m) to f*m**2 + v*m + w and give v. -92 Rearrange -y - 18 + 3*y**2 + 2*y**3 + 28 - 6 + 4*y**4 - 7 to f*y + p*y**4 + s*y**3 + r*y**2 + j and give s. 2 Express ((0 + 2 - 1)*(2 - 7 - 2) + (-1 - 1 + 6 + (3 - 2 + 0)*(0 + 2 - 3))*(-2 - 2 + 8))*(2*o - 2*o + 2*o) in the form v*o + k and give v. 10 Express -1 - 133*o + 140*o - 2 in the form g + k*o and give g. -3 Rearrange (-170*t**2 - 345*t**2 + 2*t**2)*(-4*t**2 + 3*t**2 + 0*t**2) to the form g*t**3 + b*t**2 + z*t + w*t**4 + j and give w. 513 Express -217 + 110 + 31*l + 106 + 6*l in the form r + m*l and give m. 37 Express (-479 + 5*d + 6*d + 527)*((-1 - 3 + 3)*(-4 + 2 + 1) - 3 + 3 - 2) as u*d + s and give u. -11 Rearrange -z**3 - 214*z**2 - 455*z**2 - 2*z - 188*z**2 - 8*z**2 - z**3 - z**4 to l + r*z**2 + y*z + x*z**4 + t*z**3 and give x. -1 Express 337*i**2 - 18*i - i**3 - 337*i**2 + (-3*i + 11 - 11)*(-i**2 + 2*i**2 + 2*i**2) in the form x*i**3 + p*i + m*i**2 + u and give p. -18 Express (-3 - 2*b + 3)*(-b + 0*b - b)*(-44 - 63 + 4) as h*b + z*b**2 + j and give z
{ "pile_set_name": "DM Mathematics" }
r - 5*p - q for r. -5 Suppose 5*d + 7 = -7*h, -21*h + 13 = -16*h + d. Solve 13*k - 28 = 5*q + 9*k, h*k = -4*q - 8 for q. -4 Let u be (-192)/(-46) - 1020/5865. Solve u*g + w = -21, 2*g + 13 = -3*w - 0*w for g. -5 Let o be ((7/(-14)*0)/(-1))/(4 + 0). Solve 5*d + b + o*b + 5 = 0, 4*b - 3 = 3*d for d. -1 Let w(z) = 2*z**2 - 39*z - 841. Let r be w(-13). Solve 4*h - 2*a = -14, 0 = h + 3*h - r*a + 8 for h. -5 Let x(y) = y**2 + 124*y - 246. Let k be x(2). Let b be (1 - 0)*(-10)/(-2). Suppose -3*l + 36 = l. Solve -s = b*q - l - k, -4*s - 9 = -3*q for s. 0 Let t be -8 + 10 - (2 + (-3)/(-3)). Let r be t/(-1)*-5*(-1 + -4). Suppose r*p = 30*p - 20. Solve 5*x - p*j = -2, -6*j = -3*x - 2*j - 6 for x. 2 Let v be (2 + 10 - -7) + 3. Let q be 8/(-16)*v + 20. Let t(l) = -2*l - 4. Let s be t(-4). Solve 6 = -x - 4*b - q, 4*x + 12 = -s*b for x. 1 Let r(p) = -2*p + 29. Let c be r(-10). Suppose c = 3*u + 4*u. Let m be (-2 - -1)/(27/u - 4). Solve -5*j = -h + 1 - 0, 5*j - 3*h = m for j. -1 Suppose 4*q + i - 5*i = 104, -3*q - 2*i + 73 = 0. Let u = 28 - q. Suppose 8 = u*h + 2*t, 3 = 2*h - 3*h + 5*t. Solve 5*o + 4 = 4*g, 0*o + 8 = -h*o for g. -4 Suppose -h - o = 0, -3*h - 5*o = -6*o - 40. Let t be (1 - 0)/((-1)/(-4)). Solve -10 = 5*m + 2*p + p, -h = t*m + 2*p for m. -5 Let y = -8219 + 8239. Solve -16*w + 4 = 3*s - y*w, 4*w = s - 4 for s. 0 Let g = 10423 - 10397. Solve -o = -2*b + 4*o + g, -4*b = -5*o - 32 for b. 3 Let k(f) = -43*f + 243. Let o be k(15). Let j = o + 406. Solve 4*i + q - j*q + 26 = 0, -4*i = 3*q + 14 for i. -5 Let u(d) = -7*d + 106. Let g be u(14). Suppose 2*z - 10 = 0, g*x + 20 = 9*x + z. Solve 25 = -5*b, -2*b - 3*b = -2*q + x for q. -5 Suppose 0 = 6*c - 27 - 15. Suppose -c*z + 44 + 5 = 0. Let q be 238/22 - z - 4/(-22). Solve 0 = 3*s + q - 1, -4*v + 2*s = -18 for v. 4 Let z be 1/(-4) + 339/12. Let j be (-6)/((-30)/z - (-12)/(-28)). Solve -j*s - 3*r + 14 = 0, 3*s + 2*r - 6 = 5 for s. 5 Suppose -4*m = 20, -4*h + 3*m + 658 - 83 = 0. Let q = -136 + h. Solve -q*c + 3*i + 12 = -i, -4*i - 24 = 2*c for c. -2 Let y be ((-114)/(-33))/(-19) - -1*(-35)/(-11). Solve -5 = 4*u - n + 3, 7 = 5*u + y*n for u. -1 Let u(b) = -4*b**3 + 183*b**2 + 46*b + 3. Let d be u(46). Solve 5*t = 2*i + 1, 0 = -d*t + 4*i - 32 + 13 for t. 3 Let j = 9519 - 9514. Solve -4*q + 4 = 4*s, -3*s + 4*q + 5 = j*q for s. 2 Suppose -4*m + 4*u + 130 = 14, 0 = 4*m - 3*u - 115. Suppose b = 3*q + 5*b + 4, -5*q + m = -2*b. Solve -13 = -3*w + o, -w - q*w - 4*o + 16 = 0 for w. 4 Suppose -4 = d - 5*b, 34 = 5*d - 0*b + 2*b. Suppose -l - u + 3 = 0, -u + 4 = -l + 5. Solve 0 = 4*n + 5*i - l - d, 2*n - 4 = i for n. 2 Let u(x) = x**3 + x**2 - x - 1. Let g(n) = -7*n**3 - n**2 + 5*n + 16. Let y(o) = g(o) + 6*u(o). Let b be y(5). Solve 0 = b*p + 2*s - 12, -10 + 30 = -5*s for p. 4 Let o(l) = -3*l**2 + 49*l - 6. Let d be o(16). Suppose -2 = -d*t + 18. Solve -8 = t*q - 3*u, 2*q - 4*q + 16 = 3*u for q. 2 Suppose 115 - 83 = -5*n + 21*n. Solve -n*u - 10 = 5*q - 6*u, -u = 4*q + 29 for q. -6 Let g be (2/30 - (-51)/85)/(1/3). Solve 0 = g*j - 3*p - 1 - 24, -4*p = j + 15 for j. 5 Suppose -12*s - 2 = -26. Let f(j) = 2*j**3 - 4*j**2 + 3*j - 2. Let t be f(3). Suppose 3*v - 31 = -t. Solve 8 = 2*d, -v*x - s*x = d + 4 for x. -2 Let j(w) = -w**3 - 32*w**2 - 68*w - 236. Let i be j(-30). Solve 5*r + i*h - 2*h = -24, 4*r + 22 = -3*h for r. -4 Suppose -4*i = 3*y + 581, 5*y - 5*i + 590 = 2*y. Let l = 136 + y. Let c = l - -59. Solve 0 = 3*b - 4*a, 3*a + 2*a + 15 = c for b. -4 Let u = -737 + 770. Suppose 68 = u*b + 2. Solve t - m - 3*m = -10, b*t - m = -6 for t. -2 Let d(a) = 2*a**3 - 52*a**2 + 31*a + 495. Let m be d(25). Solve -5*i + 5*w - m = 0, 0 = 5*i + w + 4*w - 10 for i. -1 Suppose 6*p = 38 + 28. Let h be p/6 + 1/6. Solve -5*o - 3*z = -0*z + 6, -2*z = h*o + 4 for o. 0 Let l(d) = d**3 + 3*d**2 - 10*d - 20. Let r be l(3). Solve r*a + 2 = -2*q + 22, 4*a - 20 = -q for a. 5 Let d = -31 - -55. Suppose 4*p + 4*q - 32 = 0, 2*q = -2*p - 2*p + 24. Solve 5*h - p*r - 28 = 3*h, d = h - 4*r for h. 4 Suppose 0 = -8*k + 3 + 13. Solve 5*n = 5*a - 40, -3*n + 5*n = -k*a for a. 4 Suppose 22 = k + 20. Suppose -22 = -5*d - k. Let f be (0 - 2)*(-39)/78. Solve 4*p - f = 5*q, -p + 0*q = -d*q - 3 for p. -1 Let q be (2*1/(-8))/((-433)/3464). Solve -4*b + 4*r = 36, -2*r + 2 = q*b + 8 for b. -6 Let x be (-425)/(-17) - 6 - -254. Solve 0 = -v - 2*g - 1, g = -x*v + 270*v + 12 for v. 5 Let k = 782 - 781. Solve 0 = 3*o + 4*u - k + 6, -4*o = -2*u - 8 for o. 1 Let y be (10 - -4)*(2*30)/(-1). Let o be (-10)/6 + y/(-126). Solve o*t - 15 = 4*s + 12, 0 = -3*s - 3*t for s. -3 Let u = -12 - -18. Let w = -180 + 201. Suppose -22*c = -w*c - 6. Solve 3*o + 3 + c = d, -2*o - u = 2*d for o. -3 Let d = 305 - 304. Let u(z) = z**3 - 5*z**2 + 3*z - 6. Let q be u(5). Let k be 4/18 + 133/q. Solve h = -3*i - k, -2*h - 5 = d for i. -4 Let p(r) = -2*r**2 + 13*r + 15. Let n be p(7). Suppose 0 = n*m - 11 - 61. Solve -y - 6 = -c, m + 11 = -5*y + 3*c for y. -1 Suppose -13*j = -4 - 61. Suppose -7 = -3*w + 5*v, j*v - 9*v + 20 = 4*w. Solve 0*a = -3*a - 4*o, -w*o = -3*a for a. 0 Let g be -1 + ((-322)/12 - (-4)/(-24)). Let z = 0 - g. Suppose 4*s = -3*s + z. Solve 4*l - 1 = h, 2*l + 10 = -0*l + s*h for l. 1 Let w = -315 + 504. Suppose 0 = 2*u + 195 - w. Let j be 15/(u/(1 + -4)). Solve -3*s + 21 = 3*z, -4*s - 3*z + 8 = -j for s. 2 Suppose 0 = 245*g - 253*g + 16. Solve 0 = 3*o + 2*f - g, -2*f = o + f - 10 for o. -2 Let c be ((-18)/(-18))/(-3 + (-1380)/(-459)). Suppose 35 = 160*m - c*m. Solve -5*y = 4*g - 17, -m*y + 2 = -g - 0 for g. 3 Let a be 4*-1*(35 + -16). Let p = -43 - a. Solve -30 = -5*i - 5*b + b, 4*i - p = -5*b for i. 2 Let l be (-4)/(-6) - ((-100)/(-15))/(-5). Suppose 5*u - 22 = -l. Solve -u*g + 4*i = -4, 1 = 2*g - 4*g + 5*i for g. 2 Suppose -319*b - 95 = -166*b - 172*b. Solve -v + b = f + 3, 0 = -3*v + 4*f - 1 for v. 1 Suppose 81 = 13*z - 16*z. Let a = -9 - z. Let c = a + -12. Solve 5*i + 3*s = 5, -c*i + 2*i = 2*s - 6 for i. 4 Suppose 2002 = 8*w + 6*w. Let o = w - 138. Let i = 6 + -1. Solve 3*j - 10 = y, 35 = o*y + i*j + 5 for y. 2 Suppose -4*r + 12 = -r. Suppose 3*s + r*t + 6 = -1, 2 = -2*t. Let n be (-5 + 7)/(s/(-2)). Solve -6*a = n*u - 11*a - 17, a + 15 = -5*u for u. -2 Suppose -c - 2*c = -39. Suppose -32 = -10*t + 168. Let a = t - c. Solve -3*x - 4*l = -23, x = 2*x + l - a for x. 5 Let u be (-10108)/(-16) - 11 - (-2)/8. Let v = -606 + u. Solve 5*a + q = 6*q + 15, -5*a = q - v for a. 3 Let s(w) = 4*w - 10. Suppose 11*d = -76 + 131. Let h be s(d). Solve -5*l + 18 = -2*y + 1, h = 3*l - y for l. 3 Let a(r) = r**3 - 4*r**2 - 4*r + 7. Let s be a(5). Suppose 39*v - 144 = -27. Let q = v + 2. Solve y - 2*y + 20 = q*o, -3*o = y - s for y. 0 Let v(q) = 16*q**2 + 42*q - 476. Let g(l) = 3*l**2 + 8*l - 95. Let c(j) = 11*g(j) - 2*v(j). Let o be c(-12). Solve -5*k - 2 = -o*x, -x + 5 = 4*k - 7 for k. 2 Let d(b) = 9168 + 2*b**2 - 3*b - 9168 + 6*b**3. Let s be d(1). Solve -o + 0*o - s = 5*q, o + 5 = -4*q for o. -5 Let j(n) be the first derivative of -n**2/2 - 10*n - 20. Let x be j(-7). Let p be -2 - (-1 + 2) - (x - 2). Solve c = -4*i - c - 4, -p*c + 4 = 0 for i. -2 Let g(d) = d**3 + 112*d**2 + 839*d + 731. Let i be g(-104). Let o = 14 + -9. Solve -3*w + 12 = i*m, o*m + 2*w = 8 + 9 for m. 3 Let q = -819 + 825. Let w(i) = -i**2 - 2*i + 3. Let d be w(-3). Suppose 6*v - 10*v = d. Solve 4*b - a = 10, 4*b + a + 0*a - q = v for b. 2 Let q = 268 + 21. Let h = q - 284. Solve -8*a + 3*a = -15, -h*k + 11 = 2*a for k. 1 Suppose -3*k + 3*u = 9, 5*u - 4 - 11 = -2*k. Suppose -2*j - 16 = 7*m - 9*m, -4*m - 4*j = -8. Solve -5*i + 20 = -m*x, 5*i - i + 5*x + 2 = k for i. 2 Let n = -528 + -162. Let y = n + 695. Solve 8 = 4*o - x, -10 = -y*o - 2*x - x for o. 2 Let o(r) = -29 + 7 - 3*r + 6*r - 18. Let c be o(20). Let y = c - 18. Solve 2*u = 3*n - 2, y*n + 2*u + 1 + 1 = 0 for n. 0 Let p(n) = -2*n**3 + 46*n**2 - 40*n - 51. Let g(x) = -x + 5. Let v(r) = 2*g(r) + p(r). Let y be v(22). Solve -3*f + 5 = 2*k, -y*k - 8 = -f + 12 for f. 5 Suppose -7 = -5*y + 8. Let c(k) = 2109*k**y - 2108*k**3 - 5*k**2 - 17*k + 3*k + 5. Let w be c(7). Solve 4*g - 5 = -z + 7, -3*z - 32 = -w*g for g. 4 Let z = -60 + 62. Let c be (3 - (z + -1))*(-25)/(-10). Solve 0 = -x - 3*x - b - c, x - 10 = 2*b for x. 0 Suppose 4*p - 97*i + 101*i = 0, -5*p + 2 = 4*i. Sol
{ "pile_set_name": "DM Mathematics" }
ided by m. 12 Let s(f) = f**3 + 6*f**2 + 7*f - 1. Let g be s(-4). Let m be (24/4 - g) + (-57 - 1). Let x = -39 - m. Calculate the remainder when 76 is divided by x. 12 Let d(x) = 3*x - 7. Let o be (3 + -3)/(2/(-1)). Let k be 0 - (1 + (-6 - 2)) - o. Calculate the remainder when 41 is divided by d(k). 13 Let n(b) = b**2 - 42*b - 110. Let s be n(45). Suppose c = -c - 5*h + 45, -c = 2*h - s. Calculate the remainder when 278 is divided by c. 33 What is the remainder when 18347 is divided by ((-143)/52)/((-6)/24)? 10 Suppose -220*t + 6793 = -3767. What is the remainder when 548 is divided by t? 20 Suppose 53927 = 189*s + 5087 - 20712. Let x(l) = l**3 + 7*l**2 + 3*l + 2. What is the remainder when s is divided by x(-5)? 35 Let l(q) = 2*q**2 + 31*q - 5. Let d(p) = -p**2 + 9*p + 5. Let n be d(11). Let m be l(n). Let c = -36 + m. What is the remainder when 17 is divided by c? 7 Let z = -82 + 82. Suppose 2*f - 40 = -3*f - 3*k, -4*f - 3*k + 35 = z. Suppose 0 = -f*n - 2*n + 63. What is the remainder when 52 is divided by n? 7 Let l be -14*(-5 + 22/4). Let w(f) = -4*f + 125. What is the remainder when w(l) is divided by 14? 13 Let i(y) = 16*y - 94. Let u(w) = 14*w**3 - w**2 - 4*w + 3. Let d be u(1). Calculate the remainder when i(d) is divided by 11. 10 Let k = -117 + 120. Let r be k/(-12)*3 - (-15)/4. Suppose r*v + 5*t = 53, 3*t + 17 - 95 = -4*v. Calculate the remainder when 167 is divided by v. 20 Suppose 7*n + 675 = -2*n. Let r = n - -220. Calculate the remainder when r is divided by 37. 34 Calculate the remainder when 829 is divided by 3*275 + 180/(-20) + 6. 7 Suppose 5*m + 2*o + 3*o = 100, -m = -2*o - 20. Suppose 5*p = -3*w + 44 - 2, 5*p + 5*w - 50 = 0. Calculate the remainder when m is divided by p. 2 Suppose -29*n = -12181 + 2321. Suppose -14*i + n = 6*i. What is the remainder when 150 is divided by i? 14 Let b = 2166 + -1144. Let r = 1453 - b. Calculate the remainder when r is divided by 48. 47 Suppose 0 = 4*r - 3*r + 3*y - 17, -5*y = -r + 41. Let o = -12 + r. Calculate the remainder when 53 is divided by o. 11 Suppose -4*g = g + 10, 2*b = 2*g + 222. Let n = 193 - b. Suppose 5*c - 3*c + 4*u = n, -18 = -c + 4*u. Calculate the remainder when 101 is divided by c. 33 Let y = 5745 - 5632. What is the remainder when y is divided by 103? 10 What is the remainder when (-46 + 9)/(10/(-1670)) is divided by 103? 102 Suppose -47*i - 78*i - 960 = -19960. What is the remainder when 277 is divided by i? 125 Suppose 0 = -8*c + 2*c + 474. Let h = c - 223. Let t = 243 + h. What is the remainder when t is divided by 10? 9 Suppose 12 = 3*w, -11*w + 13*w = 2*p - 160. What is the remainder when 924 is divided by p? 0 Calculate the remainder when 698 is divided by (-7968)/(-30) - 9/((-675)/30). 166 Let z = 0 - -50. Calculate the remainder when z is divided by (11952/351 + (-6)/117)*(-2)/(-2). 16 Suppose -2*y + 10*y - 136 = 0. Let c(a) = a**2 - 17*a + 9. Let u be c(y). Suppose -50 = -u*z + 22. Calculate the remainder when 31 is divided by z. 7 Let s be 3/(-4)*56/(-21). Suppose -s*h + 5*u = 3*u - 166, 0 = -h - 5*u + 107. Let f(i) = 12*i - 102. Calculate the remainder when h is divided by f(10). 15 Suppose -1889 = -5*t + 4*r, -r + 5*r + 1512 = 4*t. Let g = 10095 + -10032. Calculate the remainder when t is divided by g. 62 Let f(g) = -10*g**3 - 3*g**2 + 4*g. Let x be f(1). Calculate the remainder when 261 is divided by x/2*-4 + -6. 9 Suppose -25*u + 30*u - 23*u = -234. Let p(c) = c**2 - 5*c + 2. Let i be p(5). Suppose i*q + 19 = 95. What is the remainder when q is divided by u? 12 Suppose -147*c + 3314 = -13528 - 16821. Calculate the remainder when 4578 is divided by c. 227 Let n(v) = -v**3 + 34*v + 253. What is the remainder when n(8) is divided by 4? 1 Suppose 0 = 4*a + x - 70, 51*a + 4*x - 33 = 54*a. Let h(d) = -d - 4. Let v be h(0). Let f = 12 + v. Calculate the remainder when a is divided by f. 5 Let l(j) = -j**3 + 3*j**2 + 71*j + 297. What is the remainder when l(-5) is divided by 10? 2 What is the remainder when 293 is divided by (-14)/(-2) - (-17)/(-153)*-531? 29 Let u(k) = 21*k + 545. Calculate the remainder when u(-23) is divided by 26. 10 Let x(b) = 1106*b - 8785. What is the remainder when x(8) is divided by 1/2*68/1? 29 Let m(o) = 167*o**2 - 1324*o - 8. Calculate the remainder when 468 is divided by m(8). 28 Let i(d) = -d**3 - 2*d**2 + 8*d + 18. Let v be i(-2). Suppose -v*u + 508 = 4*n + 3*u, 0 = 5*n - 2*u - 602. What is the remainder when n is divided by 32? 26 Suppose 0 = 20*q - 109 - 11. Let o(v) = 7*v + 3. Calculate the remainder when 89 is divided by o(q). 44 Let d = -42918 - -43273. What is the remainder when 1412 is divided by d? 347 Let q(w) = -3*w. Let u be q(-2). Suppose 3*c = u*m - 8*m + 201, -5*c - 4*m + 335 = 0. What is the remainder when c is divided by 22? 1 Suppose 0 = -5*q + 3*u + 8, 5*q + 5*u + 6 = 46. Let l = 173 + -168. What is the remainder when l is divided by q? 1 Suppose 0 = p - 947 + 940. Suppose -c + 4*c - 4536 = 0. Calculate the remainder when c/33 - 4/(-22) is divided by p. 4 Let u be (0 + -22)/2 - (-246)/123. What is the remainder when (-4500)/(-55) - u/(99/2) is divided by 28? 26 Suppose -3*b + j + 45 = 0, -50 = -0*b - 4*b - 2*j. Suppose 0 = b*w - 235 - 941. What is the remainder when w is divided by 15? 9 Suppose d - 4*d + 3*k + 105 = 0, 2*k = 5*d - 163. Let v(u) = -28*u + 13*u - 59 + 4*u + u**2. Calculate the remainder when v(20) is divided by d. 28 Suppose 6*f - f = 55. Let b be (-19 + 17)*22/4. Calculate the remainder when f is divided by -2 + 0 - 88/b. 5 Let f(v) = 196*v - 359. What is the remainder when 86 is divided by f(2)? 20 Let g(n) = -n**2 - 8*n + 10. Suppose -87*y + 78*y + 6849 = 0. Suppose 731 - y = -2*j. Calculate the remainder when j is divided by g(-8). 5 Let k be 2/(-13) - ((-3294)/117 - 5). Suppose 0 = 26*f - 25*f - k. What is the remainder when 130 is divided by f? 31 Let u be 14/(-21) + 16/6. Let r(c) = -c + 1. Let z(y) = -18*y - 3. Let f(l) = u*r(l) - z(l). Calculate the remainder when 39 is divided by f(1). 18 Suppose 4*o - 1852 = -4*p, 3*p = 4*p - 4*o - 468. Suppose -24*w + p = -8*w. What is the remainder when w is divided by 3*(-1 + 26/6)? 9 Let q(g) = -3*g - 1. Let k(j) = 5*j + 76. Let i(a) = k(a) + 3*q(a). Let x(s) = 20*s - 7. Calculate the remainder when x(6) is divided by i(11). 26 Let i = 603 + -599. Suppose -4*s - 23 = -a, 2*s - i*s = 4*a - 56. What is the remainder when a is divided by 34/8 + (-2)/8? 3 Suppose -152 = 9*d - 755. Let b = 16 - 43. What is the remainder when d is divided by (0 - 1)*(b + 3)? 19 Let r = 61 + -43. What is the remainder when 3 + 56/(-4) + 222 is divided by r? 13 Suppose c = -787 + 1634. Calculate the remainder when c is divided by 122. 115 Suppose 5*w + 16*w - 6*w = 480. Calculate the remainder when w is divided by 31. 1 Let s be 5238/14 - (-10)/(-70). Let q = 390 - s. Calculate the remainder when 62 is divided by q. 14 Let s be 15/3 + 0/(-7). Let v(l) = 2*l**2 - 5*l + 32. What is the remainder when v(s) is divided by 15? 12 Let r = 618 + -566. Calculate the remainder when 185 is divided by r. 29 Let t = 18118 + -17970. What is the remainder when t is divided by 83? 65 Let c = -38 - -65. Let z(s) = s**3 + 10*s**2 - 1984*s - 19747. What is the remainder when z(-10) is divided by c? 12 Let t = 72 + 4. Suppose -3301 = -t*x + 1867. Suppose -3*z = 3*j - 2*j - 67, z = j + 25. Calculate the remainder when x is divided by z. 22 Let f = -12794 + 12920. Calculate the remainder when f is divided by 76. 50 Let k(g) = 3*g**2 + 16*g + 81. Let h be k(-7). Suppose -x = 3*x - 4*m - h, 4*x - 104 = m. Calculate the remainder when 647 is divided by x. 22 Let j = -185 + 173. Suppose 2*a = -3*a + 45. Calculate the remainder when 17 - -28*3/j is divided by a. 1 Let g = 43 - 28. Suppose 6*a + p - 107 = 4*a, 3*p - 156 = -3*a. Calculate the remainder when a is divided by g. 10 Suppose 5*w - w + 8 = 0. Suppose 11*l + 0*l + 715 = 0. Calculate the remainder when l/w + (-3)/(-6) is divided by 7. 5 Suppose 0 = 4*m - 0 - 8. Suppose m*p + 6*p = 824. Let b(z) = 6*z - 34. Calculate the remainder when p is divided by b(7). 7 Suppose 396 = 11*u + 99. Calculate the remainder when 7936 is divided by u. 25 Let c be (-4 + 444/9)*3. Suppose -7*y + 60 = -c. Calculate the remainder when 79 is divided by y. 23 Suppo
{ "pile_set_name": "DM Mathematics" }
de k(-14)? True Does 54 divide (-1 + 0)*2/(-3)*(-48447)/(-14)? False Let w = -1823 + 2634. Let k = 1396 - w. Suppose 4*h + k = 9*h. Does 13 divide h? True Let x be -33 + 0 - (-2)/(-1). Let k = -570 + 541. Let f = k - x. Is 6 a factor of f? True Let x be (5 + (-3)/2)/(2/8). Let h = 416 + x. Is h a multiple of 25? False Let f(p) = -4826*p + 3161. Is 258 a factor of f(-6)? False Let b(y) = -661*y**3 + y**2 - y. Let n be b(-1). Let l = 93 + n. Is 20 a factor of l? False Suppose 0 = -j + 7*j + 276. Let k = j - -51. Let a(w) = w**3 - 3*w**2 - 9*w + 8. Is 3 a factor of a(k)? False Let p(d) = d - 8. Let v be p(-2). Does 8 divide 2/(-4) + (-305)/v? False Let o(q) = -7*q - 13. Let z(j) = j + 18. Let v(f) = -3*f - 35. Let w(c) = 6*v(c) + 11*z(c). Let t(r) = -5*o(r) + 4*w(r). Does 22 divide t(12)? False Let w(t) = 61*t**2 - 27*t + 385. Is 13 a factor of w(9)? True Suppose 0 = -14*w + 45276 + 81448 + 14998. Does 8 divide w? False Let r = 25599 - 9226. Does 32 divide r? False Let q(x) = 16*x**2 + 6*x + 48. Is 54 a factor of q(-15)? False Let n(a) = -a**2 + 6*a - 1. Let q(u) = -u**2 + 7*u + 4. Let t be q(7). Let v be n(t). Suppose -390 = -v*w - 12. Is 9 a factor of w? True Let i(b) = -2*b - 3. Let x be i(-2). Suppose -o + 27 = -x. Let l = o + 4. Does 16 divide l? True Suppose 0 = 200*g - 199*g - 16777. Is g a multiple of 18? False Let o(l) be the third derivative of -l**4/12 + 11*l**3/3 + 7*l**2. Let g be o(10). Suppose 192 + 66 = g*i. Is 15 a factor of i? False Let o be 33154/44 - (-4)/8. Is (8 + 0 + o)*(-3)/(-3) a multiple of 70? False Is 9 a factor of 3/(7 + -8 + 43919/21958 + -1)? False Suppose 4*w + 322 = 2. Let i = -61 - w. Does 10 divide i - (2 - 0) - (1 - 3)? False Suppose -20 = -x + 32. Suppose 2 = f, 4*g + 178 = -0*g - f. Let p = x + g. Is p a multiple of 3? False Let l(a) = a**3 + 2*a**2 + 8*a + 9. Let b be l(-4). Let w = b + 56. Does 14 divide w/(3*(-1)/(-42))? True Let a(r) = 2*r - 10. Let c be a(4). Let u be 3/1*(1 + c) + 5. Suppose -4*i + 1008 = -0*i + 3*j, -5*i + 1267 = u*j. Is i a multiple of 49? False Let s(z) = -10*z**3 - 3*z**2 - 60*z - 364. Is s(-6) a multiple of 93? False Suppose -19849 = -3*f + n, 12*f - 2*n + 6614 = 13*f. Does 36 divide f? False Suppose -2*l + 2*z = -l - 10, 3*l - 30 = 4*z. Let j = -177 - l. Let i = 302 + j. Does 23 divide i? True Let r be (-3)/2 - 35/(-10). Suppose -41*g = -53*g + 36. Suppose 4*y + 61 = k, -4*k + 79 = -g*k + r*y. Is k a multiple of 6? False Let j = 227 + -226. Is 51 a factor of (-504)/(-63) - -655*j? True Let g(s) = s**3 + 9*s**2 - 26*s - 20. Let t be g(-12). Let x = t + 254. Is 6 a factor of x? True Let y = 271 - 61. Let d = -94 + y. Is d a multiple of 16? False Suppose -5*x = -4*l + 27094, 5*x - 46855 = -9*l + 14139. Is 14 a factor of l? True Let g(m) = -m**3 - 34*m**2 + 32*m - 105. Let d be g(-35). Let p(v) = 23*v + 704. Does 91 divide p(d)? False Let k = 113 - 396. Let a be k/7 + (-15)/(-35). Let n = 56 + a. Is n a multiple of 8? True Let g(m) = 2*m - 7*m**2 - 10*m**3 - 7 + 3*m**3 + 6*m**3 - 3*m. Let w be g(-6). Does 4 divide 6/(-18) + w/(-3)? True Let f(q) = 64*q**2 + 161*q - 2699. Is f(16) a multiple of 9? False Let w(b) = 3*b - 1. Let x be w(1). Let p(y) = 18*y - 269. Let o be p(15). Is ((-707)/(-56) + o/(-8))*x a multiple of 9? False Is (5 - -41)*214 - -14 a multiple of 57? False Let m = 2 + -5. Let b be (m + 1)/(3 - 4). Let r(i) = 2*i**3 + i**2 - i. Does 18 divide r(b)? True Suppose a - 920 = -3*l, -4*l + 1233 = -10*a + 5*a. Suppose -13*h = -l - 577. Does 17 divide h? True Suppose -128 = -26*c + 22*c. Let y = 34 - c. Suppose 5*s = 3*i + 318, -2*s + y*i - 4*i = -140. Is s a multiple of 6? True Suppose 0 = -5*l - 15. Let b = l - -4. Is 4 a factor of (20/(-5) - -24)*b/1? True Let q(a) = 4*a**2 + 15*a + 221. Does 15 divide q(-16)? True Suppose 17355 = 3*c - 5*b, -90*c + 5*b = -89*c - 5755. Is c a multiple of 50? True Let m be -3 + 5 + -1 - 1. Suppose -k + w + 35 = 0, m = -3*k + 4*w - 35 + 135. Suppose y + 3*d - k = 1, -y = -5*d - 73. Does 9 divide y? False Suppose 13*t - 10517 = 31161. Is 14 a factor of t? True Let m be 2/6 + (-5 - 310/(-15)). Is -6 - m*10/(-1) a multiple of 17? False Let v be (-40230)/(-70) + (-2)/(-7). Let k = 767 - v. Does 6 divide k? True Let v = -85 - -75. Let i be ((-24)/v)/((-9)/(-585)). Suppose -i = -2*u - u. Is 12 a factor of u? False Suppose 24760 = -52*r + 12*r. Let f = r - -817. Is 6 a factor of f? True Let c be (-17)/(204/(-2012)) - 4/6. Suppose -16*u + 105 = -c. Is u a multiple of 17? True Is 278 a factor of (-497168)/(-552)*9*1? False Suppose 10*k = -10*k + 300. Is 11 a factor of (3/(-2))/((45/(-2442))/k)? True Suppose 0 = -8*o - 1168 + 9128. Suppose 13*v = 97 + o. Suppose 4*r + 3*k - 19 - v = 0, -120 = -5*r - 2*k. Does 3 divide r? False Let z = -9292 + 13452. Is z a multiple of 16? True Suppose -59*c - 48036 = -236541. Is c a multiple of 9? True Let z be 7 + -4*(-2)/(-4). Suppose -3*y + 2*y + 16 = z*f, -5*y = -2*f + 28. Is f*(-3)/(-24)*146 a multiple of 20? False Let q(y) = 36*y + 49. Let c be q(10). Let d = c - 218. Is d a multiple of 17? False Suppose -k + 4 = 4. Suppose 12*m - 10*m + 3*l - 1388 = k, -668 = -m + 5*l. Is 43 a factor of m? True Suppose -11*q = -2*q. Suppose 44 = 2*b + 4*t, 5*t - 20 = -q*t. Let i(f) = f**3 - 13*f**2 - 4*f + 15. Is i(b) a multiple of 22? False Let o = 27 + -17. Let u be (-3 - (-54)/o)/(4/10). Suppose -u*r = -56 + 2. Is 8 a factor of r? False Suppose -7*p + 9*p = -106. Let v = -114 - -209. Let u = p + v. Is u a multiple of 26? False Suppose 2*t - 2409 = -5*v, -3*t - t + v = -4851. Suppose 2*i - 597 = o, -4*o + t = 9*i - 5*i. Does 15 divide i? True Suppose -3*o - 2 = -2*t, -5*o + 5*t - 4 = 6. Suppose 5*z + 0 = -20, o*z = -3*r + 1351. Is 25 a factor of r? False Let d(h) be the first derivative of h**3/6 + 9*h**2 - 3*h - 7. Let f(y) be the first derivative of d(y). Is f(0) a multiple of 3? True Let h = -308 - -236. Is 6/2 - (h - (-9)/(-3)) a multiple of 13? True Let g be (9 - -396)*2/(1 + 1). Suppose g = 19*c - 16*c. Let b = -70 + c. Is b a multiple of 11? False Let x = 21 - 48. Let h = x - -78. Let s = h + -19. Is s a multiple of 11? False Suppose -33*c + 12 = -30*c. Suppose 0 = k + 4*r - 6*r - 133, c*k + 4*r = 520. Is k a multiple of 67? False Let l(j) = 113*j**2 - 3*j - 2. Let u be l(-1). Let v be 0*3/(-6)*-1. Suppose -3*y + 7 + 2 = v, 0 = -5*k + 2*y + u. Does 4 divide k? True Suppose 0 = 31*f - 249282 - 365262. Does 7 divide f? True Suppose -2*h - 3084 + 56 = -3*r, -5*h = -r + 1018. Suppose 185*n - r = 181*n. Is 13 a factor of n? False Let h(p) = -628*p + 446. Is h(-2) a multiple of 9? False Suppose 0*u = -5*u - 2*z + 246, -u + 5*z = -33. Suppose -43*a + 2*g - 469 = -u*a, 3*g = 3*a - 273. Is 5 a factor of a? False Let b(a) be the third derivative of -a**6/120 - 7*a**5/12 + 4*a**4/3 + a**3/2 - 6*a**2 + 3*a. Does 36 divide b(-36)? False Let l(q) = -q**3 + 34*q**2 + 13*q - 82. Let a be l(34). Suppose 2*z + a = 3*z. Does 8 divide z? True Suppose 5*v = 3*u + 6*v - 18, 23 = 2*u - 3*v. Suppose -u*z - 218 = -729. Is z a multiple of 7? False Suppose -20*d + 368600 + 101137 = 47*d. Is d a multiple of 44? False Suppose 4*a + 2989 = 2*x + 3*x, 4*a - 2384 = -4*x. Suppose -x*i + 595*i + 408 = 0. Is 6 a factor of i? True Let p(b) = -424*b**2 + 3*b. Let d(f) = -288*f**2 + 2*f - 5. Let o(i) = -i**2 - 1. Let c(l) = d(l) - 5*o(l). Let n(r) = 7*c(r) - 5*p(r). Does 28 divide n(-1)? True Let j(l) = -19*l**3 + 10*l**2 + 11*l - 10. Let a be j(5). Is 13 a factor of ((-85)/25 + 1)*a/12? True Let i(u) = u**3 + 8*u**2 + 3*u + 8. Let g be i(-7). Let w(o) = o**3 + 4*o**2 - 5*o - 6. Let q be w(-4). Let p = g - q. Is 12 a factor of p? False Let a(l) = -5498*l + 88. Is 38 a factor of a(-1)? True Let c = -12181 - -14578. Is c a multiple of 17? True Let m be 5128/9 + (52/(-18))/(-13). Let z = 8 + m. Does 29 divide z? False Suppose 0 = 5*h, 4*h - 3 = 3*v + 3. Let q be v + 72/39 + 41/13. Suppose 3*g + 1040 = 7*g - 2*w, q*g - 787 = -2*w. Is 44 a factor of g? False Let m(l) = 18*l**2 + 91*l + 694. Does 26 divide m(-8)? True Let n be 1/(-3) - 1744/(-3). Let y = 73 + n. Does 26 divide y? False Let m = -650 - -1397. Suppose 727 = 3*a - a - 3*x, -2*a + m = x. Is a a multiple of 14? False Let z = 36703 + -32959. Is z a multiple of 104? True Suppose 0 = 3*y + 3*k - 1893,
{ "pile_set_name": "DM Mathematics" }
Let r be 3 - ((-12)/3 - 1). Suppose -8*d = -8 - r. Let s(j) = 4*j**2 - j - 3. Let f be s(d). Solve -9 = -4*i + f for i. 5 Suppose 0 = 19*p - 23*p + 8. Suppose -p*o - 2*o = 4, 2*o - 4 = -3*t. Solve -5 = t*k - 13 for k. 4 Let v be ((-8)/(-20))/((-1)/(-10)). Suppose -2*b - 8 = -u, -v*u - 4*b + 2 = -6. Let o be 48/72*(3 + 3). Solve -u = o*i - 12 for i. 2 Suppose -4*h + 67 = 5*f - 2*f, -63 = -3*h + 2*f. Solve o - h = -15 for o. 4 Let a = -6 - -15. Suppose 0 = -2*l + 3*s - 5*s + 12, -6 = l + 4*s. Let c be l/3*a/2. Solve -5*m + c = -0 for m. 3 Suppose -4*t - 3103 = -3115. Let b be -2 - -1 - 2/(-2). Solve -t*a + a - 4 = b for a. -2 Let l(i) = -i**3 + 4*i**2 - 5*i + 4. Let q be l(3). Let z be (q + 16/4)*-2. Let u = z - -9. Solve 5*w - 30 = -u for w. 5 Let l = 112 + -203. Let n = -71 - l. Solve -9*p + 5*p + n = 0 for p. 5 Let s(c) = -c**2 - 49*c + 158. Let z be s(-52). Solve 0 = 3*a - z + 11 for a. -3 Let n(p) = p. Let q be n(1). Let t(i) = 4*i - 8. Let f(j) = -j - 1. Let c(s) = q*t(s) + 3*f(s). Let l be c(12). Solve 0*g = -g + l for g. 1 Let w(q) be the third derivative of -q**6/120 - 3*q**5/10 - 17*q**4/24 + q**3/3 + 8*q**2. Let u be w(-17). Solve 0*i = i + u for i. -2 Let k = 260 + -249. Solve 0 = -k*a + 33 + 22 for a. 5 Let w be 0*((-7)/(-35))/(18/45). Solve w = 4*i - 3*i + 3 for i. -3 Let v(m) = m**3 + 16*m**2 + 14*m - 10. Let i be v(-15). Let s be 3/i + 442/130. Solve -l - 6 = -s*l for l. 2 Suppose -2*s + 28 = -4*i, -s + 23 = -4*i + 13. Solve -25*h + s = -19*h for h. 3 Suppose -373*x + 376*x = 24. Solve -3*z - x = 1 for z. -3 Suppose 0*k + 10 = 5*k. Suppose 0*r - 8 = -k*r. Suppose -r*a - 3*c - 8 = 0, 3*c + 5 = -7. Solve l = a - 5 for l. -4 Let l be 46/14 - 6/21. Suppose c = l*c. Suppose 2*g - 12 = 2*q, -3*g + 56 - 14 = 3*q. Solve c = 3*k - k + g for k. -5 Let j = 48 + -31. Suppose -4*d - 5*g + j = -0*g, -d + 5 = g. Solve 0*p = 2*p + d for p. -4 Let n be 0/(-2) - (-3 + -2). Suppose 0 = -3*w + n*w. Solve -3*s = -w + 3 for s. -1 Suppose -3*j = 5*v - 24, -10 = -2*v - 3*j + 2*j. Solve -v*c = -7*c - 4 for c. -4 Let p = 20 - 10. Suppose 11*g - 6*g - p = 0. Let j be (-2 + g)*9/18. Solve 2*l - 9 + 1 = j for l. 4 Let d = 0 + -2. Let p = 17 + d. Suppose -2*u + 2*n + 2 = 0, u - 8*n = -3*n - p. Solve 0 = -u*z + 3 - 13 for z. -2 Let p = 441 - 431. Solve p*w + 15 = 13*w for w. 5 Let h be (0 - 3)*28/(-42). Suppose -5*o + 6*o = h. Solve 4 = -2*z + o for z. -1 Let w be -2 - 1/(2/(-4)). Solve w = 4*d + d - 25 for d. 5 Let p be ((-36)/20 + 1)/(2/(-65)). Let b = -20 + p. Solve -w - w = -b for w. 3 Suppose 12*l - 15*l = -5*n - 44, 48 = 5*l - 2*n. Solve -3*a - l = -7*a for a. 2 Let r be (-16)/1*4/(-8). Suppose -13*b + r*b = -25. Solve 4*u - b = 3 for u. 2 Let a(l) = l**2 - 24*l + 112. Let k be a(8). Let s(y) = 10*y. Let c be s(2). Let f = c + k. Solve -f*p - 3 = 13 for p. -4 Let m = -381 - -395. Solve -12*b = 2*b - m for b. 1 Let v be 0*(-7 - (-10 + 2)). Solve v = -3*m - 17 + 5 for m. -4 Let j(t) = -t**2 + 2*t + 4. Let f be j(3). Solve q - f = -4 for q. -3 Let s = 5 + 22. Let u be 22/(-33)*s/(-2). Solve -3*y = -u + 3 for y. 2 Suppose 0 = 4*h + 19 - 143. Let u = h - 20. Solve -4*q + u = -5 for q. 4 Let t be (12/(-9)*-4)/(1/3). Suppose 0 = -6*l + 10*l - t. Solve 0*i = l*i + 12 for i. -3 Let n be (3/(-2))/((-2)/(-12)). Let p be ((-2 + -2)/1)/2. Let s = p - n. Solve -s*h = -3*h + 20 for h. -5 Suppose -3 = 2*v - 17. Suppose 2 - 5 = 4*n - 3*c, 0 = -n + 2*c - v. Suppose -3*k + 11 = w, -n*w = -k + 3*k - 5. Solve -15 = -k*y + y for y. 5 Suppose 2*j = -3*t - 214, t - 212 = 4*t + 4*j. Let d be 9/t - (-25)/16*2. Solve 0 = -d*h - 5 - 1 for h. -2 Let x be (70/(-28))/(2/(-4)). Suppose -4*y - 8 = 4*f, 1 + 12 = -4*y - x*f. Solve -y*b - 12 = 3 for b. -5 Let d(r) = r**2 + 9*r - 4. Let z be d(-9). Let j be (-1 + 15/(-3))*2/z. Solve c = -j - 1 for c. -4 Let k = 16 - 28. Let y = k - -15. Suppose 3 = 2*d - 2*o - y, 4*d + 3*o = 26. Solve 3*h = d*h - 4 for h. 2 Let k = -46 - 28. Let t = -73 - k. Solve t = 5*s - 14 for s. 3 Let d be 430/43 - -2*3/(-2). Solve 11*z - d*z = -8 for z. -2 Suppose -24 = -j - 2*j. Let v = 60 - 106. Let y = 50 + v. Solve j*g - y*g + 12 = 0 for g. -3 Let r be 6 - (-160)/(-24) - (-76)/(-3). Let g = -15 - r. Solve -g*y - 4 = -7*y for y. -1 Suppose -4*i = -i - 18. Let d = i - 4. Solve l = -d*l + 3 for l. 1 Let n(o) = -o**2 - 9 + o - 5*o**2 + 7*o**2. Let j be n(-5). Suppose -q - 2*y + 4 = 0, -2*y = 3*q + 3*y - j. Solve -p = -q*p - 5 for p. -5 Let x(z) = z**2 - 4*z + 3. Let l be x(3). Let g(m) = m**3 + 7*m**2 + 4. Let a be g(-7). Suppose -5*f = -4*p - l*f + 7, 3*p = -a*f + 13. Solve -j = p + 2 for j. -5 Let t = 597 - 597. Solve o + 1 - 4 = t for o. 3 Let d(a) = 7*a**2 - 12*a + 1. Let y be d(2). Suppose -4*n - v + 121 = 0, n + v - 152 = -4*n. Let t = n - 9. Solve 2 = y*g + t for g. -4 Let d(u) be the third derivative of u**4/6 - 7*u**3/3 + 14*u**2. Let p be d(4). Solve 6*r = p*r for r. 0 Let s be -1 + -1 - (0 - (-15)/(-5)). Let h be (8/6)/(2/(-9)). Let x(a) = a**3 + 7*a**2 + 6*a. Let b be x(h). Solve s = -b*m + m for m. 1 Let f be -2*1/2*-5. Let k be (1 - 0) + 100/f. Suppose 3*w - k = 12. Solve 0 = -4*r - 3 + w for r. 2 Suppose -537*a + 539*a - 14 = 0. Solve a + 4 = -11*l for l. -1 Let u(h) = h**3 + 8*h**2 + 15*h + 20. Let a be u(-6). Solve 30 = 4*y + a*y for y. 5 Let g = 35 + -21. Let p be 4/1 - 56/g. Suppose p = -v + 5*v. Solve -s = -v*s + 2 for s. -2 Suppose -5*m + 14 = -2*l + 12, l = 3*m - 1. Solve 2*z + 7*z + 36 = m for z. -4 Let k(n) = -6*n - 2. Suppose -4*l + 26 = -2. Let v be (-12)/21 + (-3)/l. Let d be k(v). Solve d*t + 20 = 4 for t. -4 Suppose 18 = -w + 3*w. Suppose 2*d - d = -w. Let j = -5 - d. Solve -j*q = q for q. 0 Suppose 13 = h + 3. Let a(y) = -y**3 + 9*y**2 + 9*y. Let d be a(h). Let q = 12 + d. Solve 0 = q*k - 2 for k. 1 Suppose 14*t = 6*t + 40. Suppose -t*v = 11 - 36. Solve p = v*p - 4 for p. 1 Let a(r) = -9*r - 5*r**2 - 15 - 2*r**3 + r**3 - r**2 + r. Let x be a(-5). Solve 6*v - 3*v - 9 = x for v. 3 Let w be ((-44)/(-10))/(24/480). Let j = -88 + w. Solve 0*h - h + 2 = j for h. 2 Let k be 579/24 - (-23)/(-184). Solve -4*w - 4*w = k for w. -3 Suppose -4*f + 37 = k, -2*f + 3*k + 49 = 2*f. Suppose f = -9*c + 28. Solve -5*b + c*b + 9 = 0 for b. 3 Suppose 14*j + 4*j = 36. Solve 3*s = j + 10 for s. 4 Suppose 0*t - 2*t = 3*d - 9, t = 5*d - 28. Suppose 0 = d*r + 5*r - 30. Solve r*j + 8 + 1 = 0 for j. -3 Suppose 10 = 2*b - 6. Solve b*z = 6*z - 4 for z. -2 Suppose 6*i = -12*i + 324. Solve 5*c + 33 = i for c. -3 Let h(j) = 2*j**3 + 18*j**2 + 3*j - 1. Let t(w) = 3*w**3 + 18*w**2 + 4*w - 2. Let q(s) = 4*h(s) - 3*t(s). Let a be q(18). Solve -4*b + 3*b = a for b. -2 Let x(i) = -i**2 - 4*i + 14. Suppose -2*b = 3*g + 8, 2*g + b = -b - 6. Let u be (g/4)/(1/12). Let m be x(u). Solve -3*q + 4 = -m for q. 2 Let c(t) = t**3 - 4*t**2 - 8*t - 19. Let h be c(6). Solve -11*f = h*f - 64 for f. 4 Let h(k) = 9*k**2 + 58 + 10*k - 57 + k**3 + 4*k. Let s be h(-7). Solve f = s - 3 for f. -2 Suppose 11*k - 1663 = 141. Let p = -164 + k. Solve 5*n - 15 = -p for n. 3 Let v = 1081 + -1071. Solve 25 = 5*d - v*d for d. -5 Suppose -10*d = -15*d + 3*q + 78, -4*d = -3*q - 63. Solve 15 + d = 6*v for v. 5 Suppose 0*b - 3*b - 2*u = 2, 3*u + 3 = 0. Solve q + b*q - 2 = 0 for q. 2 Let w be -7 - (12/(-4) + 3) - -10. Solve n + w*n = -n for n. 0 Let f = 787 - 782. Solve -1 - 14 = -f*a for a. 3 Let b(u) = -11*u**3 - 3*u**2 - 3*u - 1. Let x be b(-1). Suppose -36 = a - x*a. Solve 2*z = a*z - 10 for z. 5 Suppose 4*v + 51 = 15. Let g = 12 + v. Solve u = -g*u + 20 for u. 5 Let o be 2*(-9)/(-6)*50/6. Solve -o = 2*c + 3*c for c. -5 Let u(i) = -3*i + 86. Let z be u(28). Let m(g) = 2*g**2 + 5*g + 3. Let o be m(-3). Let y be 4/o*3 + 1. Solve f - y = z*f for f. -3 Suppose 6 = -3*b - h + 24, 15 = 5*h. Suppose -3*f + 59 = 23. Suppose 0 = -4*m - d + 50, -2*d = d + 6. Solve -b*v + m = -f for v. 5 Let o(w) = -w**2 - 12*w + 6. Let t be o(-12). Let c be (-2)/(-1 + -1) - -3. Suppose -c*k + 0 = -8. Solve -t = k*i + 2 for i. -4 Let k be (-1016)/28 - 0 - 4/(-14). Let a be k/(-30)*(0 + 20/6). Solve -2*w = 2*w + a for w. -1 Let t(c) = c**3 - c**2 + 2. Let x(y) = -y**2 + 4. Let j(z) = -z. Let w be j(2). Let l be x(w). Let v be t(l). Solve -1 = u - v for u. 1 Let o = -89 + 89. Solve o*a = 3*a + 9 for a. -3 Let j = 568 - 130. Let v b
{ "pile_set_name": "DM Mathematics" }
d 2 w when four letters picked without replacement from {w: 1, b: 1, d: 2}? 0 Calculate prob of picking 1 x, 2 h, and 1 f when four letters picked without replacement from ahxqfqqhpqqqqxqhfqaq. 4/1615 What is prob of picking 4 f when four letters picked without replacement from ffofffff? 1/2 Two letters picked without replacement from pusbulhs. Give prob of picking 1 s and 1 l. 1/14 Calculate prob of picking 2 r when two letters picked without replacement from rrrfrrrrrrrrr. 11/13 Three letters picked without replacement from {n: 7, i: 6, k: 3, x: 3}. What is prob of picking 3 n? 35/969 Two letters picked without replacement from pbabrrraabprrrrrp. Give prob of picking 1 a and 1 b. 9/136 What is prob of picking 1 g, 1 k, and 1 n when three letters picked without replacement from {j: 4, k: 4, n: 3, g: 1, s: 1}? 6/143 Four letters picked without replacement from {f: 2, z: 1, n: 1, w: 2, b: 1, c: 2}. What is prob of picking 1 n, 1 w, 1 z, and 1 f? 2/63 What is prob of picking 2 c and 1 e when three letters picked without replacement from cajeaeajjcaaxae? 3/455 Three letters picked without replacement from {v: 3, q: 2}. What is prob of picking 2 v and 1 q? 3/5 Calculate prob of picking 1 r and 2 v when three letters picked without replacement from {v: 18, r: 2}. 51/190 Three letters picked without replacement from {y: 4, f: 1, t: 2}. Give prob of picking 3 y. 4/35 What is prob of picking 1 f, 2 e, and 1 l when four letters picked without replacement from {c: 5, f: 7, e: 2, l: 4}? 7/765 Calculate prob of picking 4 j when four letters picked without replacement from {c: 9, j: 10}. 35/646 What is prob of picking 1 q and 3 y when four letters picked without replacement from {q: 12, y: 7}? 35/323 Two letters picked without replacement from dbvvevhedvthhhd. Give prob of picking 1 d and 1 b. 1/35 Four letters picked without replacement from {s: 4, t: 5, k: 1, h: 4, j: 1}. What is prob of picking 2 h and 2 j? 0 Four letters picked without replacement from vxvvvcvvuvvvuc. What is prob of picking 2 u, 1 c, and 1 x? 2/1001 What is prob of picking 1 g and 1 r when two letters picked without replacement from {d: 5, r: 3, g: 3}? 9/55 What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 6, c: 7, m: 1}? 6/13 Three letters picked without replacement from ssggaa. What is prob of picking 1 g and 2 s? 1/10 What is prob of picking 3 m when three letters picked without replacement from msmmmnmmwnmn? 7/44 Two letters picked without replacement from {n: 2, d: 6, u: 2, f: 1}. What is prob of picking 1 n and 1 f? 2/55 Three letters picked without replacement from qckcchhkhch. Give prob of picking 1 k, 1 q, and 1 c. 8/165 What is prob of picking 2 d, 1 y, and 1 m when four letters picked without replacement from ddyddddydudmml? 16/143 Calculate prob of picking 2 y when two letters picked without replacement from {n: 5, y: 7, w: 1, e: 6}. 7/57 Two letters picked without replacement from {g: 2, u: 3, q: 1, p: 5, b: 7}. Give prob of picking 1 b and 1 g. 14/153 Four letters picked without replacement from nmbcwmwmcnbmbnm. What is prob of picking 1 b, 1 n, and 2 w? 3/455 Calculate prob of picking 2 c and 2 g when four letters picked without replacement from wqqccqwpgqwccg. 6/1001 Three letters picked without replacement from dgggddgggdggdgdd. What is prob of picking 3 d? 1/16 What is prob of picking 3 z and 1 e when four letters picked without replacement from {z: 9, e: 2}? 28/55 Two letters picked without replacement from {t: 5, z: 1, l: 4}. Give prob of picking 1 l and 1 z. 4/45 What is prob of picking 1 w and 3 y when four letters picked without replacement from yywyywsyyywwywywsy? 4/17 Two letters picked without replacement from xwxwewtw. What is prob of picking 1 x and 1 w? 2/7 Four letters picked without replacement from {x: 2, s: 14, z: 2, v: 1}. What is prob of picking 1 s and 3 z? 0 Two letters picked without replacement from yvryvoqc. Give prob of picking 1 r and 1 y. 1/14 Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {t: 2, w: 5, y: 1, e: 7, g: 3}. 1/51 What is prob of picking 1 m and 1 v when two letters picked without replacement from vvvmvmvddddvdvvdvd? 2/17 Calculate prob of picking 2 d when two letters picked without replacement from {l: 2, d: 3, g: 4, q: 8}. 3/136 Three letters picked without replacement from {q: 8, a: 2, x: 1, w: 2}. Give prob of picking 3 a. 0 Four letters picked without replacement from vbvvvvbsvvvvvv. What is prob of picking 1 b, 2 v, and 1 s? 10/91 What is prob of picking 2 p when two letters picked without replacement from {k: 2, b: 1, i: 5, w: 1, p: 3, j: 3}? 1/35 What is prob of picking 2 i when two letters picked without replacement from {f: 5, i: 2, t: 13}? 1/190 Calculate prob of picking 2 y when two letters picked without replacement from {q: 3, z: 5, y: 4}. 1/11 Four letters picked without replacement from {v: 3, e: 13, p: 1}. What is prob of picking 3 v and 1 e? 13/2380 Calculate prob of picking 2 u and 2 x when four letters picked without replacement from {m: 3, j: 1, x: 5, d: 1, u: 2}. 2/99 Four letters picked without replacement from {b: 2, m: 2, p: 2, s: 4, t: 2}. What is prob of picking 1 b, 1 p, and 2 s? 8/165 Two letters picked without replacement from {b: 2, t: 1, r: 9, h: 7, y: 1}. Give prob of picking 1 t and 1 r. 9/190 What is prob of picking 1 x and 2 v when three letters picked without replacement from {c: 2, l: 5, j: 9, x: 2, v: 2}? 1/570 What is prob of picking 2 t and 1 a when three letters picked without replacement from {a: 4, t: 3, c: 2}? 1/7 Three letters picked without replacement from {r: 1, f: 5, d: 5}. What is prob of picking 3 f? 2/33 Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bxxhxxxxxxxbxhx. 22/105 Two letters picked without replacement from lwjwhhjy. Give prob of picking 1 j and 1 l. 1/14 Calculate prob of picking 2 c when two letters picked without replacement from {w: 1, c: 3, x: 3}. 1/7 Two letters picked without replacement from {d: 4, w: 2, m: 6}. Give prob of picking 2 m. 5/22 Three letters picked without replacement from vcmmm. Give prob of picking 3 m. 1/10 What is prob of picking 3 e when three letters picked without replacement from eeeoeeo? 2/7 Three letters picked without replacement from {o: 1, b: 1, q: 1, p: 1, l: 2, z: 2}. What is prob of picking 1 o and 2 z? 1/56 Four letters picked without replacement from rzdkszrdzmmsrsr. What is prob of picking 1 s, 2 z, and 1 d? 6/455 What is prob of picking 1 p and 1 b when two letters picked without replacement from hvpbcvcvcvcvbdc? 2/105 Calculate prob of picking 1 l and 1 n when two letters picked without replacement from njnnjjfzzjl. 3/55 What is prob of picking 1 y and 1 x when two letters picked without replacement from yxzz? 1/6 Three letters picked without replacement from sasa. Give prob of picking 2 s and 1 a. 1/2 Calculate prob of picking 1 g, 1 t, and 2 u when four letters picked without replacement from truuuuutg. 10/63 Calculate prob of picking 3 j when three letters picked without replacement from {s: 8, v: 2, j: 8}. 7/102 Two letters picked without replacement from {m: 1, e: 1, v: 12}. What is prob of picking 1 m and 1 e? 1/91 Two letters picked without replacement from lpyoepl. What is prob of picking 1 e and 1 l? 2/21 What is prob of picking 3 x and 1 r when four letters picked without replacement from xrrbbbbbrxx? 1/110 Three letters picked without replacement from swjwctust. What is prob of picking 1 j, 1 t, and 1 u? 1/42 Three letters picked without replacement from {x: 1, t: 3}. Give prob of picking 3 t. 1/4 Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, h: 3}. 1/10 What is prob of picking 1 b, 1 w, and 1 c when three letters picked without replacement from ttwjsbc? 1/35 Four letters picked without replacement from {o: 1, b: 2, a: 1, f: 1, l: 1, g: 2}. What is prob of picking 1 b, 1 g, 1 o, and 1 l? 2/35 What is prob of picking 1 e, 1 d, and 1 l when three letters picked without replacement from {r: 1, j: 1, b: 3, l: 3, d: 2, e: 2}? 3/55 Calculate prob of picking 3 p and 1 b when four letters picked without replacement from {b: 10, p: 9, u: 1}. 56/323 Four letters pi
{ "pile_set_name": "DM Mathematics" }
What is next in 10607329, 10607325, 10607309, 10607275, 10607217, 10607129, 10607005, 10606839? 10606625 What is next in 2655, 5701, 8745, 11787, 14827, 17865, 20901? 23935 What is next in -867, -826, -797, -786, -799? -842 What is next in 21378, 21385, 21392, 21399, 21406, 21413? 21420 What is the next term in 813, 3270, 7365, 13098, 20469, 29478, 40125? 52410 What comes next: -1706, -3122, -4538, -5954? -7370 What is next in 25, 74, 55, -32, -187, -410, -701? -1060 What is the next term in -32323, -32322, -32321, -32320, -32319, -32318? -32317 What is next in -2661, -5327, -7987, -10641? -13289 What is next in -752, -745, -710, -641, -532? -377 What is the next term in 2421, 9626, 21637, 38454, 60077, 86506? 117741 What comes next: 666464, 1332925, 1999386? 2665847 What is next in -25101, -50203, -75305? -100407 What is next in 503, 969, 1401, 1799, 2163? 2493 What comes next: 574, 549, 516, 469, 402, 309, 184, 21? -186 What is next in 406, 805, 1210, 1627, 2062? 2521 What is next in 1392, 1856, 3112, 5556, 9584? 15592 What is the next term in -31641, -63282, -94923, -126564? -158205 What is next in 306, 554, 968, 1548, 2294, 3206? 4284 What is the next term in -1500, -6011, -13532, -24063, -37604, -54155, -73716? -96287 What comes next: 6505, 6510, 6531, 6574, 6645? 6750 What is next in -4828, -9725, -14620, -19513, -24404? -29293 What is next in 11632, 11622, 11606, 11584, 11556, 11522, 11482? 11436 What comes next: 399, 528, 747, 1062, 1479? 2004 What is next in -811, -1153, -1493, -1831? -2167 What is the next term in -523, -1041, -1569, -2107? -2655 What is next in -485151, -485152, -485153, -485154, -485155, -485156? -485157 What is next in 318, 1835, 4364, 7905, 12458, 18023? 24600 What is the next term in -9676, -19342, -29008? -38674 What comes next: -2326, -2445, -2564, -2683, -2802? -2921 What is next in 5035, 5004, 4949, 4870, 4767, 4640? 4489 What is the next term in -27, -135, -327, -603, -963, -1407, -1935? -2547 What is the next term in 52583, 52584, 52585, 52586, 52587, 52588? 52589 What is the next term in 7, -60, -181, -374, -657, -1048, -1565? -2226 What is the next term in 122618, 122617, 122616, 122615? 122614 What is the next term in -56528, -56517, -56492, -56447, -56376? -56273 What comes next: 231, 1857, 6273, 14871, 29043, 50181, 79677, 118923? 169311 What comes next: -22655, -90637, -203939, -362561, -566503? -815765 What is next in -8083, -8135, -8187, -8239? -8291 What is the next term in -453, -350, -243, -132, -17, 102, 225? 352 What is next in 5573, 5547, 5507, 5453? 5385 What is next in 1112, 1131, 1142, 1139, 1116, 1067, 986? 867 What comes next: 167, 343, 537, 749, 979, 1227? 1493 What is the next term in -733, -1469, -2205, -2941, -3677, -4413? -5149 What is the next term in 284827, 569654, 854481? 1139308 What is the next term in -405, -1523, -3353, -5895, -9149, -13115, -17793? -23183 What comes next: 466, 375, 278, 175? 66 What comes next: 2764, 5539, 8316, 11095, 13876, 16659, 19444? 22231 What is the next term in -250, -1483, -4696, -10879, -21022, -36115, -57148? -85111 What is the next term in -12, 57, 128, 201, 276, 353? 432 What comes next: -478, -1683, -3618, -6283? -9678 What is next in 458, -466, -2006, -4162, -6934? -10322 What is next in -108158, -216320, -324482, -432644? -540806 What is next in 2035, 4118, 6201, 8284, 10367, 12450? 14533 What is next in 216, 426, 626, 810, 972, 1106, 1206? 1266 What comes next: 278475, 556950, 835425, 1113900, 1392375? 1670850 What is the next term in -292, -1294, -2964, -5302, -8308, -11982? -16324 What is the next term in -3963, -7928, -11891, -15852, -19811, -23768, -27723? -31676 What is the next term in 235, 806, 1717, 2968, 4559, 6490? 8761 What comes next: -4743711, -4743710, -4743709, -4743708, -4743707, -4743706? -4743705 What comes next: -12103, -12109, -12113, -12109, -12091, -12053, -11989? -11893 What comes next: 41, 316, 1057, 2498, 4873, 8416, 13361? 19942 What is the next term in -20695, -41387, -62079, -82771, -103463, -124155? -144847 What is the next term in 780, 743, 684, 603? 500 What is next in 7570, 15154, 22740, 30328? 37918 What is next in 2081, 4166, 6257, 8360, 10481, 12626, 14801? 17012 What comes next: 15823, 15821, 15819, 15817, 15815? 15813 What is next in -1323, -2646, -3963, -5274, -6579, -7878? -9171 What comes next: 449, 1031, 1613? 2195 What is next in -1232, -5150, -11680, -20822? -32576 What comes next: 101, 364, 799, 1406, 2185, 3136? 4259 What is the next term in 1151, 1321, 1491? 1661 What is next in -331, -1109, -2405, -4219, -6551, -9401, -12769? -16655 What is the next term in -362243, -724486, -1086729, -1448972, -1811215? -2173458 What is the next term in 1549, 1561, 1593, 1657, 1765? 1929 What comes next: -6708, -6719, -6730, -6741, -6752, -6763? -6774 What is next in 8692, 8406, 7930, 7264, 6408, 5362? 4126 What is next in -475, -975, -1479, -1987? -2499 What is next in -29, -31, -45, -77, -133, -219? -341 What is next in 5416, 5479, 5532, 5569, 5584, 5571? 5524 What is the next term in 885, 3490, 7833, 13914? 21733 What is next in 208, 511, 1020, 1735? 2656 What is next in -705, -698, -705, -732, -785, -870, -993, -1160? -1377 What comes next: -831, -1901, -2971, -4041, -5111? -6181 What comes next: -617, -409, -177, 91, 407, 783? 1231 What is next in -48, -117, -216, -333, -456, -573, -672? -741 What comes next: -411, -856, -1301, -1746, -2191, -2636? -3081 What is next in -100, -386, -862, -1528, -2384, -3430? -4666 What comes next: 33739, 67472, 101205, 134938, 168671? 202404 What is the next term in -158650, -158648, -158646, -158644? -158642 What is the next term in 1606, 3315, 5020, 6721, 8418, 10111? 11800 What is the next term in 1104, 1130, 1214, 1386, 1676, 2114, 2730, 3554? 4616 What is next in 47080, 47081, 47082, 47083? 47084 What comes next: -112751, -225502, -338253, -451004? -563755 What is the next term in -607920, -1215835, -1823750, -2431665? -3039580 What comes next: 657, 1021, 1385, 1749? 2113 What is next in -122, -121, -104, -65, 2, 103, 244, 431? 670 What is the next term in -328002, -656003, -984004, -1312005, -1640006? -1968007 What comes next: -58962, -58951, -58940? -58929 What comes next: 59, 392, 949, 1730, 2735? 3964 What comes next: 17987, 17982, 17977, 17972, 17967, 17962? 17957 What is the next term in -381, -305, -215, -105, 31, 199? 405 What comes next: -4086, -16297, -36636, -65097, -101674? -146361 What is next in 899, 1778, 2641, 3488? 4319 What is next in -71575, -143151, -214727, -286303? -357879 What is the next term in -2843, -2759, -2613, -2405? -2135 What comes next: -813, -818, -823, -828, -833, -838? -843 What is next in 338, 352, 370, 392, 418, 448, 482? 520 What comes next: 143, 107, 71? 35 What is next in -167, 108, 559, 1186, 1989? 2968 What is next in -2119, -2064, -2005, -1936, -1851, -1744, -1609, -1440? -1231 What comes next: -5156, -5155, -5154, -5153? -5152 What comes next: -302, -597, -892, -1187, -1482? -1777 What is the next term in 2114, 8468, 19054, 33866, 52898, 76144? 103598 What comes next: 53074, 106147, 159220, 212293, 265366? 318439 What is next in -1102, -2126, -3150? -4174 What is next in 2822, 5664, 8506, 11348, 14190, 17032? 19874 What is next in 240, 321, 242, 3, -396, -955? -1674 What comes next: 72045, 72044, 72043, 72042, 72041? 72040 What is next in -8418, -16708, -24998, -33288, -41578? -49868 What is the next term in -1826178, -7304710, -16435596, -29218836, -45654430, -65742378, -89482680? -116875336 What is next in -598422, -598417, -598410, -598401, -598390, -598377? -598362 What comes next: 4015, 3963, 3911? 3859 What comes next: -23216, -92979, -209250, -372029, -581316? -837111 What is the next term in 47654, 95335, 143074, 190901, 238846, 286939? 335210 What comes next: 399, 501, 605, 711, 819? 929 What is next in -863, -7011, -23731, -56315, -110055, -190243, -302171? -451131 What is the next term in 1540, 5997, 13380, 23683, 36900, 53025, 72052, 93975? 118788 What is next in 6439, 12896, 19367, 25852, 32351, 38864? 45391 What is next in -586565, -1173138, -1759721, -2346320, -2932941, -3519590, -4106273? -4692996 What is next in 222, 821, 1782, 3105? 4790 What is next in -203, -1974, -6781, -16142, -31575? -54598 Wha
{ "pile_set_name": "DM Mathematics" }
f 267398157? 3, 13, 31, 221173 List the prime factors of 50625251. 47, 193, 5581 What are the prime factors of 36933820? 2, 5, 7, 11, 29, 827 List the prime factors of 76228405. 5, 11, 107, 12953 What are the prime factors of 3126072092? 2, 11, 13, 420397 List the prime factors of 715411239. 3, 2011, 118583 List the prime factors of 103377243. 3, 149, 231269 What are the prime factors of 1744822911? 3, 13, 43, 53, 67, 293 List the prime factors of 1217746. 2, 608873 What are the prime factors of 207588028? 2, 31, 443, 3779 What are the prime factors of 3692365600? 2, 5, 7, 11, 8563 What are the prime factors of 731175488? 2, 109, 281, 373 List the prime factors of 3340131951. 3, 13, 85644409 List the prime factors of 326003224. 2, 331, 123113 What are the prime factors of 73720442? 2, 36860221 What are the prime factors of 542231951? 542231951 List the prime factors of 90340633. 90340633 What are the prime factors of 5515527490? 2, 5, 11, 3271, 15329 List the prime factors of 2799231878. 2, 1399615939 What are the prime factors of 2515163915? 5, 11, 283, 161591 What are the prime factors of 686471930? 2, 5, 68647193 What are the prime factors of 33798309? 3, 41, 274783 What are the prime factors of 97379571? 3, 32459857 List the prime factors of 4685396698. 2, 67, 34965647 List the prime factors of 9279887270. 2, 5, 47, 487, 40543 List the prime factors of 235053183. 3, 89, 880349 List the prime factors of 17801362. 2, 59, 257, 587 List the prime factors of 3029810. 2, 5, 7, 43283 List the prime factors of 148561483. 7, 3031867 List the prime factors of 5341999647. 3, 337, 5283877 List the prime factors of 182559813. 3, 37, 619, 2657 What are the prime factors of 570079246? 2, 11, 157, 165049 List the prime factors of 180173011. 181, 995431 What are the prime factors of 3480267597? 3, 1160089199 What are the prime factors of 4243414? 2, 7, 101, 3001 List the prime factors of 1131095250. 2, 3, 5, 281, 1789 List the prime factors of 1236842790. 2, 3, 5, 89, 463237 List the prime factors of 42946670. 2, 5, 13, 330359 List the prime factors of 567885916. 2, 13, 23, 37, 41, 313 List the prime factors of 383359979. 17, 19, 62467 What are the prime factors of 283120661? 283120661 What are the prime factors of 2759091231? 3, 13, 2293, 30853 What are the prime factors of 1340250002? 2, 7, 13, 101, 72911 List the prime factors of 759193917. 3, 253064639 What are the prime factors of 884343726? 2, 3, 7, 509, 13789 What are the prime factors of 1198196683? 29, 661, 62507 What are the prime factors of 3240528217? 103, 587, 53597 What are the prime factors of 1083014069? 61, 17754329 List the prime factors of 55130590. 2, 5, 19, 290161 List the prime factors of 382609594. 2, 2903, 65899 What are the prime factors of 231177224? 2, 3733, 7741 What are the prime factors of 57172389? 3, 19057463 What are the prime factors of 417012784? 2, 193, 135043 What are the prime factors of 12647810? 2, 5, 7, 281, 643 List the prime factors of 4082454554. 2, 12503, 163259 List the prime factors of 1421895024. 2, 3, 11, 53, 16937 List the prime factors of 25218898. 2, 43, 127, 2309 List the prime factors of 3600201729. 3, 18749, 64007 What are the prime factors of 72864526? 2, 7, 773, 6733 What are the prime factors of 2601031634? 2, 29, 44845373 List the prime factors of 1570528942. 2, 19, 457, 90437 List the prime factors of 681417395. 5, 1753, 77743 List the prime factors of 2433921022. 2, 13, 191, 490117 What are the prime factors of 66231719? 66231719 What are the prime factors of 970537763? 13, 607, 9461 What are the prime factors of 174946931? 174946931 What are the prime factors of 924745183? 811, 1140253 What are the prime factors of 1133010665? 5, 167, 1356899 What are the prime factors of 3990123782? 2, 1995061891 What are the prime factors of 880495994? 2, 7, 17, 528509 List the prime factors of 134397042. 2, 3, 13, 67, 25717 What are the prime factors of 476238163? 61, 733, 10651 What are the prime factors of 612822236? 2, 13, 11785043 What are the prime factors of 858164768? 2, 41, 654089 List the prime factors of 19970309. 1123, 17783 What are the prime factors of 55208298? 2, 3, 53, 139, 1249 What are the prime factors of 102563791? 11, 139, 67079 What are the prime factors of 48142760? 2, 5, 167, 7207 List the prime factors of 246294002. 2, 109, 1129789 List the prime factors of 293814878. 2, 7, 2998111 List the prime factors of 159794191. 159794191 List the prime factors of 28233258. 2, 3, 4705543 List the prime factors of 25663429. 11, 271, 8609 What are the prime factors of 93896271? 3, 7, 19, 47, 1669 List the prime factors of 474456096. 2, 3, 549139 List the prime factors of 320394796. 2, 19, 31, 239, 569 List the prime factors of 173101979. 23, 547, 13759 What are the prime factors of 12120737? 12120737 List the prime factors of 3781309295. 5, 409, 1849051 List the prime factors of 80986227. 3, 7, 19, 202973 List the prime factors of 2764844550. 2, 3, 5, 13, 257, 613 List the prime factors of 320482021. 379, 845599 List the prime factors of 39405874. 2, 19702937 List the prime factors of 1717638. 2, 3, 13, 19, 61 List the prime factors of 93780986. 2, 13, 3606961 List the prime factors of 68084713. 68084713 What are the prime factors of 95478729? 3, 31, 509, 2017 List the prime factors of 5658962691. 3, 173, 10903589 What are the prime factors of 177030744? 2, 3, 11, 60961 What are the prime factors of 399638336? 2, 6244349 List the prime factors of 2205763092. 2, 3, 13, 4713169 What are the prime factors of 90624477? 3, 3121, 9679 List the prime factors of 23794505. 5, 7, 679843 List the prime factors of 63389880. 2, 3, 5, 37, 4759 List the prime factors of 58172171. 59, 985969 List the prime factors of 526018071. 3, 73, 317, 7577 What are the prime factors of 2281035694? 2, 7, 162931121 What are the prime factors of 1292526929? 23, 56196823 What are the prime factors of 139375161? 3, 139, 12379 List the prime factors of 226343528. 2, 829, 34129 List the prime factors of 1982255136. 2, 3, 83, 193, 1289 What are the prime factors of 19218381? 3, 7, 13, 17, 41, 101 List the prime factors of 2122864314. 2, 3, 31, 67, 170347 What are the prime factors of 7176693545? 5, 7, 2557, 80191 What are the prime factors of 469015573? 13, 2693, 13397 List the prime factors of 1707511103. 181, 9433763 List the prime factors of 4346233648. 2, 701, 387503 What are the prime factors of 48648665? 5, 13, 748441 What are the prime factors of 121878204? 2, 3, 7, 1450931 What are the prime factors of 1640503619? 1640503619 List the prime factors of 9117114. 2, 3, 1519519 What are the prime factors of 99004921? 99004921 What are the prime factors of 100198047? 3, 127, 409, 643 List the prime factors of 612602787. 3, 73, 2797273 What are the prime factors of 648827600? 2, 5, 83, 19543 List the prime factors of 1870643099. 13, 47, 3061609 List the prime factors of 70633932. 2, 3, 347, 16963 List the prime factors of 158169534. 2, 3, 79, 333691 What are the prime factors of 6484449510? 2, 3, 5, 7, 11, 935707 List the prime factors of 186296320. 2, 5, 7, 23, 113 List the prime factors of 381377888. 2, 59, 202001 List the prime factors of 10603560. 2, 3, 5, 11, 29, 277 List the prime factors of 416570041. 19, 691, 31729 What are the prime factors of 3638410787? 11, 157, 2106781 What are the prime factors of 78972755? 5, 15794551 What are the prime factors of 690513343? 13, 227, 233993 What are the prime factors of 12637207? 11, 1148837 List the prime factors of 1709787220. 2, 5, 29, 541, 5449 List the prime factors of 1177115919. 3, 7, 23, 137, 17789 List the prime factors of 2879321411. 2879321411 List the prime factors of 415510358. 2, 207755179 What are the prime factors of 518295041? 11, 23, 1031, 1987 What are the prime factors of 1680863913? 3, 557, 111767 What are the prime factors of 48928863? 3, 16309621 What are the prime factors of 2301947876? 2, 179, 3215011 List the prime factors of 18030024. 2, 3, 71, 3527 What are the prime factors of 8442363? 3, 883, 3187 What are the prime factors of 121357381? 103, 1178227 List the prime factors of 3472564175. 5, 89, 127, 12289 What are the prime factors of 61630071? 3, 197, 104281 What are the prime factors of 135756525?
{ "pile_set_name": "DM Mathematics" }
5 Divide 18 by -5. -18/5 Divide -567 by -21. 27 Calculate 4 divided by 556. 1/139 5 divided by -92 -5/92 Calculate 0 divided by 66. 0 Calculate 1200 divided by -3. -400 What is -1232 divided by -308? 4 Calculate 5828 divided by -6. -2914/3 -4 divided by 42 -2/21 Divide -8196 by 2049. -4 What is -871 divided by 3? -871/3 What is -3 divided by -179? 3/179 Calculate 4641 divided by 221. 21 Divide 10 by 95. 2/19 0 divided by 266 0 Divide 138 by -4. -69/2 -582 divided by 194 -3 Calculate 8880 divided by -6. -1480 Divide 5 by 76. 5/76 What is 237 divided by -79? -3 106 divided by -1 -106 Calculate 1036 divided by 2. 518 -5628 divided by -1876 3 Divide -352 by -4. 88 Divide 145 by -5. -29 Divide 19 by -194. -19/194 Divide -14424 by -6. 2404 Calculate 80 divided by -40. -2 Calculate 20 divided by 23. 20/23 Calculate 20 divided by -9. -20/9 89 divided by 10 89/10 What is -1158 divided by -6? 193 171 divided by 19 9 Calculate -19 divided by -1. 19 Divide 0 by 149. 0 5 divided by 810 1/162 Calculate -1260 divided by 3. -420 What is 41 divided by 22? 41/22 Calculate 6396 divided by 26. 246 Divide 600 by -150. -4 Divide -3580 by 895. -4 What is 25 divided by -5? -5 Divide -13 by 4. -13/4 -556 divided by -139 4 Divide 7912 by 989. 8 Calculate -1200 divided by -48. 25 0 divided by -163 0 -3108 divided by 3 -1036 15 divided by -34 -15/34 20456 divided by -1 -20456 -2292 divided by 5 -2292/5 Divide 56240 by -5. -11248 245 divided by -7 -35 -164 divided by -2 82 Calculate 33354 divided by -3. -11118 -114 divided by 57 -2 Divide -13 by -1. 13 What is -8 divided by -35? 8/35 What is 8804 divided by -6? -4402/3 3582 divided by -4 -1791/2 Calculate 234 divided by -9. -26 Calculate 0 divided by -180. 0 What is -233 divided by 4? -233/4 -3338 divided by 4 -1669/2 What is -771 divided by -771? 1 -1620 divided by -20 81 Divide 2095 by -1. -2095 Calculate -420 divided by -5. 84 -785 divided by -157 5 Divide -328 by -8. 41 Calculate 6357 divided by -5. -6357/5 What is -1035 divided by -17? 1035/17 Calculate 0 divided by -366. 0 Divide -3 by -132. 1/44 What is 14175 divided by 5? 2835 What is 2 divided by 519? 2/519 What is -3 divided by 4948? -3/4948 What is 177 divided by -1? -177 Calculate 0 divided by -121. 0 Divide -682 by -22. 31 Calculate -3825 divided by -5. 765 3348 divided by 18 186 -181 divided by 9 -181/9 -9 divided by -1 9 Divide 145 by -2. -145/2 6186 divided by 3093 2 What is 41 divided by 4? 41/4 -486 divided by -162 3 Calculate -484 divided by -3. 484/3 What is 10 divided by -32? -5/16 What is 14 divided by 118? 7/59 Calculate -819 divided by 5. -819/5 What is 2052 divided by -1? -2052 Calculate -24 divided by -7. 24/7 What is 1117 divided by 6? 1117/6 Calculate 5676 divided by -132. -43 Divide 140 by -7. -20 Calculate 190 divided by -7. -190/7 Divide 248 by -4. -62 What is 0 divided by 2? 0 Calculate -17034 divided by -6. 2839 Divide -9 by -112. 9/112 Calculate 441 divided by 3. 147 What is -1008 divided by 72? -14 Divide -732 by 6. -122 What is -1 divided by 36? -1/36 Calculate -330 divided by 11. -30 What is 21297 divided by -7099? -3 What is -329 divided by 45? -329/45 What is 101 divided by 3? 101/3 Divide -12 by 10. -6/5 What is -7 divided by -118? 7/118 What is 499 divided by 6? 499/6 -9 divided by -2 9/2 39 divided by 15 13/5 Calculate -49 divided by -49. 1 -62 divided by -1 62 What is -575 divided by -5? 115 Divide 14 by 717. 14/717 Calculate -182 divided by 26. -7 Divide -104 by 4. -26 Calculate 4645 divided by 5. 929 Calculate -916 divided by 25. -916/25 Divide -2380 by -5. 476 Calculate -2 divided by -446. 1/223 Divide 1 by 1652. 1/1652 What is 288 divided by -72? -4 Divide -636 by 4. -159 Divide -568 by -142. 4 -2 divided by 233 -2/233 Divide 1692 by -6. -282 Calculate -14014 divided by 7. -2002 0 divided by 275 0 Divide -1 by 615. -1/615 Divide -408 by -4. 102 Divide 181 by -5. -181/5 Divide -314 by 5. -314/5 Calculate 5 divided by 3. 5/3 Divide -13148 by -346. 38 What is -657 divided by 3? -219 Divide 3546 by 9. 394 Divide 344 by -344. -1 Calculate -264 divided by -66. 4 What is 12122 divided by 638? 19 4 divided by -1254 -2/627 Calculate -90 divided by -9. 10 Divide -60 by -2. 30 -31218 divided by -6 5203 0 divided by -791 0 What is -4212 divided by -1053? 4 Divide 1764 by -126. -14 Calculate -16776 divided by -12. 1398 -19 divided by -37 19/37 Divide -329 by -47. 7 What is -13364 divided by 4? -3341 5764 divided by 44 131 Divide 3816 by 4. 954 What is -224 divided by -32? 7 Calculate 4 divided by -13. -4/13 What is 20720 divided by -14? -1480 What is 378 divided by 14? 27 What is 5 divided by -583? -5/583 Calculate 26037 divided by -33. -789 Calculate 1348 divided by 674. 2 Divide -7 by -13. 7/13 Calculate -24162 divided by -6. 4027 Divide 37 by 9. 37/9 Divide 248 by -124. -2 445 divided by -89 -5 Divide -12 by -211. 12/211 Divide 1980 by 198. 10 Calculate -184 divided by 2. -92 Divide -55 by 11. -5 Calculate -1590 divided by 5. -318 -1995 divided by -133 15 Calculate -15 divided by 6. -5/2 What is 0 divided by 2? 0 582 divided by -6 -97 What is 2 divided by 270? 1/135 Divide 78 by 3. 26 What is 3 divided by -1988? -3/1988 -1 divided by 63 -1/63 What is 160 divided by 5? 32 -2054 divided by -3 2054/3 Calculate -195 divided by -15. 13 Calculate -16 divided by 4. -4 -1685 divided by 1685 -1 Divide -32 by -49. 32/49 0 divided by -108 0 -21 divided by -21 1 538 divided by 11 538/11 94 divided by 6 47/3 5 divided by -29 -5/29 Divide -90 by 30. -3 -15438 divided by 249 -62 Divide 23300 by -5. -4660 Calculate 147 divided by 13. 147/13 Divide 4600 by 8. 575 Divide 3 by -1232. -3/1232 -24 divided by -26 12/13 Calculate -6 divided by 3. -2 Calculate -50 divided by 25. -2 Calculate 18 divided by -52. -9/26 What is 22 divided by -24? -11/12 Divide 17 by 268. 17/268 What is -6 divided by 12? -1/2 Divide -5490 by -10. 549 Divide 99 by 3. 33 Calculate -185 divided by 5. -37 -5 divided by 1790 -1/358 Divide -28 by 7. -4 Calculate -27 divided by -19. 27/19 -504 divided by 84 -6 Calculate 768 divided by -16. -48 What is 12814 divided by -5? -12814/5 What is -91 divided by -184? 91/184 Calculate 2919 divided by 973. 3 148 divided by -9 -148/9 -120 divided by 5 -24 Calculate -24 divided by 76. -6/19 -66 divided by 2 -33 Divide 1157 by 13. 89 16 divided by -44 -4/11 Divide -60 by -30. 2 9 divided by 1224 1/136 2 divided by -1 -2 Divide 92 by 4. 23 -3795 divided by -5 759 Calculate -12 divided by -22. 6/11 0 divided by 46 0 Divide -4 by -82. 2/41 Divide -480 by 16. -30 -527 divided by 17 -31 Calculate -20370 divided by -4074. 5 Divide 327 by -4. -327/4 Divide 1320 by -5. -264 Calculate 840 divided by -24. -35 Divide -164 by 4. -41 Calculate -10 divided by 10. -1 -5195 divided by -2 5195/2 Calculate 0 divided by 391. 0 What is 20 divided by 27? 20/27 What is -145 divided by 7? -145/7 -21 divided by -1 21 Calculate -448 divided by 5. -448/5 Calculate -1373 divided by -5. 1373/5 Calculate -48 divided by -4. 12 Calculate -6 divided by -83. 6/83 Divide -7 by -8. 7/8 Calculate -4 divided by -9. 4/9 What is 4810 divided by -185? -26 What is 13475 divided by 1? 13475 Calculate 2075 divided by -5. -415 Divide 1885 by 5. 377 Divide 62 by 2. 31 Divide -3 by 1335. -1/445 Calculate 5 divided by -1183. -5/1183 What is -5 divided by -224? 5/224 Divide -809 by 6. -809/6 Divide 15 by 88. 15/88 What is 3336 divided by 3? 1112 What is 837 divided by 7? 837/7 What is -564 divided by -4? 141 Calculate 1 divided by -1129. -1/1129 Divide 63 by -1. -63 294 divided by -147 -2 What is -905 divided by -5? 181 Calculate 15132 divided by -3. -5044 What is -30 divided by 6? -5 Calculate 106 divided by -16. -53/8 Divide 317 by -8. -317/8 Calculate 3654 divided by 21. 174 Calculate -33 divided by 1. -33 Divide -20 by 10. -2 -36 divided by 18 -2 132 divided by -3 -44 What is -12 divided by 8? -3/2 What is -21 divided by -154? 3/22 2 divided by -5 -2/5 Calculate -2169 divided by -723. 3 -1 divided by 110 -1/110 88 divided by 21 88/21 Divide 3 by 1379. 3/1379 Divide 5 by 3064. 5/3064 -2754 divided by -51 54 -257 divided by 14 -257/14 Calculate -1664 divided by 8. -208 What is -1972 divided by -17? 116 What is -295 divided by -5? 59 Divide 8124 by 12. 677 5 divided by 222 5/222 6480 divided
{ "pile_set_name": "DM Mathematics" }
*m. Let d(k) be the second derivative of -5*k**4/12 - 7*k**2/2 + 77*k. Give d(j(b)). -80*b**2 - 7 Let f(h) = -h - 38. Let a(j) = 206*j**2. Give a(f(s)). 206*s**2 + 15656*s + 297464 Let p(j) = 2*j**2 + 1030*j - 2. Let m(b) = -3*b + 4. Determine p(m(y)). 18*y**2 - 3138*y + 4150 Let c(o) be the third derivative of 4*o**2 + 0 + 0*o + 0*o**3 + 0*o**4 - 1/30*o**5. Let s(z) = -4*z**2. Calculate s(c(i)). -16*i**4 Let c(h) = -27*h**2 + 31*h**2 - 6*h**2. Let s(u) = 165*u**2. Give c(s(a)). -54450*a**4 Let f(d) = 23*d**2. Let q(w) = -27*w**2 + 29*w + 11. Determine q(f(c)). -14283*c**4 + 667*c**2 + 11 Let y be (-210)/(-27) - 5 - (-10)/45. Let g(p) be the second derivative of 0 + 1/6*p**y + 0*p**2 + 6*p. Let f(b) = -b. What is g(f(r))? -r Let g(b) = 1146*b. Let k(j) = 47*j. Calculate k(g(l)). 53862*l Let o(u) = -u. Let z(y) = 411 + 18*y - 821 + 410. Determine o(z(d)). -18*d Let r(p) = -5*p. Let v(m) be the third derivative of -61*m**4/24 + m**3/2 + 4*m**2 - 74. What is r(v(x))? 305*x - 15 Let q(p) = -12*p + 202. Let y(z) = -z. What is y(q(i))? 12*i - 202 Let z(q) = -14*q. Let x(v) = 74*v**2 - 1397. What is x(z(n))? 14504*n**2 - 1397 Let i(o) be the first derivative of -o**2 + 3. Let x(g) = -49*g**2 + 7*g - 14. Let j(z) = 16*z**2 - 2*z + 4. Let d(q) = 7*j(q) + 2*x(q). Determine i(d(m)). -28*m**2 Let b(s) = -9*s**2. Let w(y) = 5*y. Let p(i) = 2*i + 2. Let t(u) = -6*u - 7. Let a(r) = -7*p(r) - 2*t(r). Let g(z) = 14*a(z) + 6*w(z). What is g(b(x))? -18*x**2 Let l(x) = 7*x**2 + 42*x. Let s(o) = -o. Let k(r) = -l(r) - 42*s(r). Let m(h) be the third derivative of h**5/60 + 38*h**2. Determine k(m(i)). -7*i**4 Let o(q) = 4*q - 6. Let m(u) = -5*u + 7. Let f(p) = 6*m(p) + 7*o(p). Let v(c) = -6*c + 7. Let n(b) = b - 1. Let h(i) = -28*n(i) - 4*v(i). Determine h(f(r)). 8*r Let b(w) be the second derivative of 4*w**3/3 + 3*w**2/2 + 18*w. Let k(x) = -16*x - 7. Let i(z) = 7*b(z) + 3*k(z). Let s(y) = -2*y**2. Give i(s(r)). -16*r**2 Let g(t) = -t**2. Let c(d) be the third derivative of -685*d**4/24 + 13*d**2 - 7. What is c(g(v))? 685*v**2 Let c(m) = -m**2. Suppose -1 = -3*f + 4*i - 4, 0 = -2*f + 4*i - 6. Let z(w) = -3*w + 12*w**2 + f*w. Calculate z(c(v)). 12*v**4 Let c(s) = -2*s**2. Let f(y) = 555*y**2 - 3. Calculate f(c(n)). 2220*n**4 - 3 Let q(k) = 193*k - 54. Let w(b) = 7*b**2. Give w(q(i)). 260743*i**2 - 145908*i + 20412 Let w(t) = t**2 - 3*t + 7. Let f be w(3). Let q(m) = 1 + f*m**2 - 11*m**2 - 1. Let x(u) = 2*u. Determine q(x(h)). -16*h**2 Let k(c) = c**2 + 15*c. Let s(l) = 732*l**2. Determine k(s(d)). 535824*d**4 + 10980*d**2 Let t(n) = 332255*n**2. Let h(v) = -v**2. Calculate t(h(z)). 332255*z**4 Let h(s) = 5*s. Let f(w) = -2*w + 5111. What is f(h(j))? -10*j + 5111 Let o(u) = 11*u**2 + u - 26388. Let l(z) = 2*z**2. What is o(l(s))? 44*s**4 + 2*s**2 - 26388 Let n(k) be the second derivative of -k**4/12 - 10*k. Let u(s) be the second derivative of 1/6*s**3 + 0 + 0*s**2 + s. Give n(u(m)). -m**2 Let p(x) = -4*x**2 - 10*x + 5. Let t(q) = 7*q - 8. Let f be t(2). Let z(j) = 4*j**2 + 12*j - 6. Let h(n) = f*p(n) + 5*z(n). Let b(y) = 10*y**2. What is b(h(r))? 160*r**4 Let y(d) = 726*d - 5. Let a(o) = -11*o**2. Calculate a(y(n)). -5797836*n**2 + 79860*n - 275 Let m(w) = -5*w. Let y(i) be the first derivative of -i**6/180 - 10*i**3 - 37. Let z(k) be the third derivative of y(k). Determine m(z(p)). 10*p**2 Let k(z) = -2*z**2 + 13020*z. Let w(l) = 7*l**2. What is k(w(h))? -98*h**4 + 91140*h**2 Let p(n) = -31825*n**2. Let g(z) = z. Give p(g(u)). -31825*u**2 Let c(g) = 2*g**2. Let s(b) = 5*b**2 - b + 2. Let z be s(1). Let p(v) = z*v**2 - v**2 + 2*v**2. What is p(c(r))? 28*r**4 Let x(y) = 55*y**2 - 57*y. Let k(a) = -12*a. What is x(k(g))? 7920*g**2 + 684*g Let u(d) = -1463*d. Let z(w) = 86*w + 1. Give z(u(y)). -125818*y + 1 Let r(m) = -m. Let i(d) = -d + 1. Let y(z) = -10*z - 20. Let x(l) = 5*i(l) - y(l). Let g(h) = -1. Let c(q) = -50*g(q) - 2*x(q). Calculate r(c(p)). 10*p Let s(i) = -170*i**2. Let y(t) = -450*t + 3. What is y(s(w))? 76500*w**2 + 3 Let d(n) = 32*n - 1. Let b(h) be the third derivative of h**4/4 + 9*h**2 + 12*h. What is b(d(s))? 192*s - 6 Let q(v) be the first derivative of -9*v**2/2 - 214. Let b(f) = 7*f**2. What is b(q(s))? 567*s**2 Let b(i) = 20*i - 2 - 26*i + 2 + 17*i. Let y(v) be the second derivative of v**3/6 + v. Calculate y(b(w)). 11*w Let h(c) = 2*c**2. Let u(l) be the second derivative of l**6/72 + 4*l**3/3 - l**2/2 - 10*l + 2. Let t(r) be the second derivative of u(r). Determine h(t(d)). 50*d**4 Let w(v) be the third derivative of 0 + 0*v + 0*v**4 - v**2 + 3/20*v**5 + 0*v**3. Let c(z) = 8*z. What is w(c(a))? 576*a**2 Let u(n) be the first derivative of 6*n**2 + 53. Let r(g) = -7*g**2 + 4. Let f(x) = 20*x**2 - 11. Let w(c) = -4*f(c) - 11*r(c). Give w(u(y)). -432*y**2 Let x(o) = -23*o**2 + 1. Let d(c) = 269*c. Determine x(d(v)). -1664303*v**2 + 1 Let a(k) be the second derivative of 17*k**6/720 + 2*k**4/3 + 6*k. Let v(x) be the third derivative of a(x). Let m(j) = j. Calculate m(v(r)). 17*r Let f(a) = 113*a - 1. Let h(i) = 124*i. Give h(f(y)). 14012*y - 124 Let z(i) = 396*i - 9. Let u(c) = 3*c. Give z(u(r)). 1188*r - 9 Let t(c) = 5*c. Let j(n) = -4*n + 1375 + 6*n - 1375. What is j(t(o))? 10*o Let r(i) = 8*i + 3*i - 2*i**2 - 9 - 2*i. Let p be 12/30 + 47/(-5). Let v(j) = j**2 - 4*j + 4. Let l(g) = p*v(g) - 4*r(g). Let t(w) = 8*w**2. Determine t(l(o)). 8*o**4 Let w(f) = 2*f**2. Let m(d) = 285*d**2 + 174*d**2 - 151*d**2. Determine w(m(h)). 189728*h**4 Let i(h) = 2*h**2. Let o(m) be the second derivative of 7*m + 7/2*m**3 + 0*m**2 + 0. Determine o(i(q)). 42*q**2 Let m(k) be the third derivative of k**5/30 + 119*k**4/6 - 204*k**2. Let f(r) = -2*r**2. Calculate m(f(j)). 8*j**4 - 952*j**2 Let y(n) = -3*n + 10. Let i(x) = -64764*x. Give y(i(h)). 194292*h + 10 Let d(a) be the third derivative of -a**5/12 - 2*a**2. Let o = 94 + -53. Let q(g) = 87*g - 49*g - o*g. What is d(q(m))? -45*m**2 Let k(v) = -3*v + 4. Let n(f) = 2*f - 3. Let j(r) = 3*k(r) + 4*n(r). Let a(w) = -29*w**2 + 1. Calculate a(j(z)). -29*z**2 + 1 Let z(x) = -14242*x. Let n(b) = -323*b. Calculate n(z(v)). 4600166*v Let c(o) = -o**2 - 30*o + 10. Let u(s) = 38*s. Determine u(c(h)). -38*h**2 - 1140*h + 380 Let m(n) be the second derivative of 41*n**3/6 - 11*n. Let f(u) = 3*u**2 - 5. Let o(s) = -2*s**2 + 4. Let h(p) = -4*f(p) - 5*o(p). What is m(h(x))? -82*x**2 Let b(q) = 11*q**2. Let a(u) be the second derivative of 0 + 1/3*u**3 + 0*u**2 - 27*u. Calculate b(a(o)). 44*o**2 Let b(f) be the second derivative of -f**5/60 + 7*f**2/2 + 29*f. Let n(x) be the first derivative of b(x). Let g(l) = -1 + 1 - 12*l. Calculate g(n(t)). 12*t**2 Let h(s) = 5*s**2. Let f(m) = 59*m**2 - 578*m. Give f(h(b)). 1475*b**4 - 2890*b**2 Let z(s) = 28*s**2. Let v(m) be the third derivative of m**6/720 - 23*m**4/24 + 12*m**2 + m. Let g(i) be the second derivative of v(i). Determine z(g(b)). 28*b**2 Let k(h) be the second derivative of h**7/1260 + 5*h**4/12 - 4*h. Let x(m) be the third derivative of k(m). Let i(r) = -14*r. What is x(i(f))? 392*f**2 Let j(c) = -c + 5*c + c. Let m(g) = -g + 8 - g - 1 + 3*g. Let q(d) = -d - 6. Let b(x) = -6*m(x) - 7*q(x). Calculate j(b(n)). 5*n Let y(a) = -29*a**2 - 23*a. Let k(g) = -4*g**2 - 2*g. Let p(x) = 14*k(x) - 2*y(x). Let d(m) = 10*m**2. Calculate d(p(s)). 40*s**4 + 720*s**3 + 3240*s**2 Let d(l) = -108*l. Let i(x) = -5*x - 16. Calculate d(i(f)). 540*f + 1728 Let a(l) be the first derivative of 29*l**2 - 297. Let c(w) = 10*w**2. Determine a(c(p)). 580*p**2 Let t(j) = 7*j. Let x(v) = -4825*v - 2. Give x(t(y)). -33775*y - 2 Let c(v) = 80*v. Let m(n) = -n. Let o(h) = 2*c(h) + 180*m(h). Let s(d) be the first derivative of -2*d**3/3 + 63. Determine s(o(z)). -800*z**2 Suppose t = -5*s + 68, s - 2*s + t = -16. Let x = s - 8. Let a(d) = -x*d - d + 5*d. Let j(f) = -4*f**2. Give j(a(n)). -16*n**2 Let l(x) = -x**2. Let r be 55/25 - (-3)/(-15). Suppose 0 = 4*t + 2*o - r, -4*t + 2*o + 22 = -0*t. Let z(v) = -5*v - t*v + 3*v + 3*v. Determine l(z(n)). -4*n**2 Let u(d) = d + 0*d**2 + 4*d + d**2 + d. Let h(i) = 10*i**2 + 55*i. Let j(t) = -6*h(t) + 55*u(t). Let b(x) = 3*x**2. What is b(j(w))? 75*w**4 Let u(n) = 21*n. Let q(o) = 46601*o. Determine q(u(i)). 978621*i Let s(j) = 1172*j**2 - 584*j**2 - 589*j**2. Let r(n)
{ "pile_set_name": "DM Mathematics" }
pose 3*b = 3 + 15. Let l(z) = -z + 0*z - 3*z + 1. Let v(o) = -5*o + 1. Let r = -9931 - -9926. Determine b*l(h) + r*v(h). h + 1 Let w(t) = -3*t. Let r(z) = 3*z - 3*z - z. Let q(m) = -4*m. Let p be -4*(-3)/(-36)*-3. Let y be q(p). Calculate y*w(h) + 11*r(h). h Let v(p) = p**2 + 6*p + 7. Let d(j) = -j**2 - 8*j - 7. Determine 5*d(c) + 6*v(c). c**2 - 4*c + 7 Let l(v) = 9*v + 9. Let a(w) = 4*w + 4. Let r be (2*14)/(-2*(7 + -6)). Determine r*a(b) + 6*l(b). -2*b - 2 Let q(i) = -2*i**2 - 2*i + 484. Let d(r) = -r**3 - 3*r**2 - 2*r + 484. Calculate -2*d(w) + 3*q(w). 2*w**3 - 2*w + 484 Let h(c) = 13*c + 23. Let o(v) = -15*v - 24. Give 7*h(f) + 6*o(f). f + 17 Let j(s) = 54*s**3 - 3*s**2 - 2*s. Let h(w) = -216*w**3 + 13*w**2 + 9*w. Calculate -4*h(x) - 18*j(x). -108*x**3 + 2*x**2 Let n(u) = -2*u**3 + u**2 + 2. Let w(b) = 1. Suppose -2*i + 3*k + 26 = 0, 2*i + 24 = 5*i + 3*k. Let d be (5/i + 2/(-6))*6. Calculate d*n(r) - 2*w(r). -2*r**3 + r**2 Let t(z) = z**3 - z**2 - z - 1. Let r(i) = 3*i**3 + 3*i**2 - 7*i - 9. Let f(l) = -r(l) + 4*t(l). Let y(o) = -3*o**2 + o + 2. Give 2*f(x) - 5*y(x). 2*x**3 + x**2 + x Let l(y) = -5*y + 7. Let x = 218 - 217. Let q(j) = j - 1. Determine x*l(n) + 6*q(n). n + 1 Let k(r) = -6*r**2 + 3*r + 1. Let n(w) = 13*w**2 - 6*w - 4. Determine -5*k(z) - 2*n(z). 4*z**2 - 3*z + 3 Let v(u) be the second derivative of u**4/4 + 2*u**3 - 15*u**2/2 - 99*u. Let i(w) = w**2 + 5*w - 6. Calculate 12*i(r) - 5*v(r). -3*r**2 + 3 Suppose 4*w + 78 = 54. Let s(p) = 3*p - 9. Let i(q) = -q + 3. Determine w*s(b) - 17*i(b). -b + 3 Let v(x) = -2*x**3 - 4*x**2 + 7*x - 2. Let u be 5 - (7 + 3/3*2). Let m(f) = -3*f**3 - 7*f**2 + 13*f - 4. Calculate u*m(w) + 7*v(w). -2*w**3 - 3*w + 2 Let j(i) = 5*i - 5. Let l(c) = 2*c - 1. Let m(t) = 3*t + 3. Let v(w) = -6*l(w) + m(w). Suppose 3*n - 10 = -25. What is n*j(y) - 3*v(y)? 2*y - 2 Let u(c) = 7*c + 39. Let p(x) = 5*x + 40. What is 4*p(h) - 3*u(h)? -h + 43 Let d(w) = -w + 2. Let f(c) = c - 3. Calculate 2*d(i) + 3*f(i). i - 5 Let t(l) = -3*l**3 + 6*l**2 - 9*l - 1. Let s(u) = -u**3 + u**2. Calculate 5*s(h) - t(h). -2*h**3 - h**2 + 9*h + 1 Let g(i) = 3*i**3 - 2*i**2 - 2. Let y = -4827 + 4829. Let a(o) = 7*o**3 - 5*o**2 - 3. Let k(t) = 3*t + 1. Let f be k(-2). What is f*g(h) + y*a(h)? -h**3 + 4 Let s be 2*(20/(-8))/5. Let f(j) = 6*j - 1. Let c(k) be the first derivative of -k**2/2 - k + 115. Determine s*f(r) - 4*c(r). -2*r + 5 Let a(c) = -2*c**3 - 3*c**2 + c + 10. Let x(b) = -b**3 - 2*b**2 + b + 9. Determine 2*a(l) - 3*x(l). -l**3 - l - 7 Let u(h) = 3*h + 5. Let a(c) = 4*c + 7. Determine -2*a(d) + 3*u(d). d + 1 Let y(p) = 5*p + 5*p - 90 + 92 - 8. Let i(a) = a. Calculate -12*i(g) + y(g). -2*g - 6 Let s(y) = -y - 1. Let j(v) = -4*v - 12. Give 2*j(n) - 4*s(n). -4*n - 20 Let u(g) = 120 - g**2 - 120. Let n(x) = 2*x**3 - 8*x**2 + 7*x - 6. Let l(r) = n(r) - 4*u(r). Let c(i) = -2*i**3 + 3*i**2 - 6*i + 5. Determine -6*c(a) - 5*l(a). 2*a**3 + 2*a**2 + a Let g(x) = -3*x**3 - 3 - 8*x**3 - 4*x**2 - 4*x + 4*x**3 - x**3 + 5*x**3. Let i(f) = -4 - 5*f - 5*f**2 - 2*f**3 + 2*f**3 - 4*f**3. Determine 5*g(q) - 4*i(q). q**3 + 1 Let f(c) = -18*c**3 - 181*c**2 - 10*c - 5. Let s(i) = -8*i**3 - 91*i**2 - 4*i - 2. Give 2*f(m) - 5*s(m). 4*m**3 + 93*m**2 Let y(f) = 5*f + 2. Let v(h) be the first derivative of -3*h**2 - 2*h - 22. What is -4*v(l) - 5*y(l)? -l - 2 Let c(y) = 16*y**2 + 13*y + 7. Suppose 8*d + 14 = 6*d. Let b(x) = -5*x**2 - 4*x - 2. Determine d*b(k) - 2*c(k). 3*k**2 + 2*k Let u(z) = -1085*z**2 - 6*z + 4. Let g(n) = 1085*n**2 + 5*n - 3. Give -4*g(j) - 3*u(j). -1085*j**2 - 2*j Let q(m) = -8*m**2 + 5*m - 5. Let c = -27 - 9. Let x = -31 - c. Let u(t) = 44*t**2 - 28*t + 28. Give x*u(p) + 28*q(p). -4*p**2 Let r(i) = -11*i**3 + 9*i + 4. Let x(o) = 6*o**3 - 5*o - 2. Determine 3*r(s) + 7*x(s). 9*s**3 - 8*s - 2 Let p(k) = -141*k + 22. Let r(s) = -48*s + 8. Determine -3*p(h) + 8*r(h). 39*h - 2 Let g(x) = 39*x - 5 - 87*x + 59*x. Let c = -6 + 15. Let n(s) = 14*s - 3 + 2*s - c*s. What is -5*g(u) + 8*n(u)? u + 1 Let c(a) = -9*a**3 + 5*a**2. Let v(y) = -8*y**3 + 4*y**2 - 1. Calculate 4*c(j) - 5*v(j). 4*j**3 + 5 Let d(i) = 81812*i**3 + 905*i**2 + 905*i - 1810. Let y(a) = 181*a**3 + 2*a**2 + 2*a - 4. What is 2*d(w) - 905*y(w)? -181*w**3 Let p(o) = o**2 + 3*o. Let x(d) = 2*d**2. Determine p(v) + 2*x(v). 5*v**2 + 3*v Let b be (90/6)/1 + (-4)/1. Let w(v) = 11*v**2 + 2. Let z(t) = 56*t**2 + 10. Give b*w(m) - 2*z(m). 9*m**2 + 2 Let r(a) = 150*a + 4. Let q(u) = 150*u + 5. What is -4*q(f) + 5*r(f)? 150*f Let k(v) = v**2 - v + 1. Let r(i) = -6*i**2 + 3*i - 6. Let j = -2230 - -2234. What is j*k(c) + r(c)? -2*c**2 - c - 2 Let j(k) = k - 23*k**2 - 16*k**2 - 1 + 40*k**2. Let q(o) = 2*o**3 - 8*o**2 - 5*o + 3. What is 5*j(s) + q(s)? 2*s**3 - 3*s**2 - 2 Let h(z) = -22310*z - 1610. Let x(i) = 111*i + 8. Calculate -4*h(j) - 805*x(j). -115*j Let i be ((-9)/(-4))/(9*(-5)/120). Let s(j) = -3*j**3 + 2*j**2 + 11. Let w(m) = 2*m**3 - m**2 - 6. Give i*s(t) - 11*w(t). -4*t**3 - t**2 Let h = 84 - 94. Let b(a) = -2*a**3 - 20*a**2 + a + 9. Let y be b(h). Let c(l) = -l + 1. Let m(p) = -3*p + 2. Calculate y*m(x) + 5*c(x). -2*x + 3 Let x(b) be the first derivative of 7*b**2/2 - b + 423. Let r(t) = -20*t + 4. Determine -3*r(q) - 8*x(q). 4*q - 4 Let d(u) = 2*u + 1. Let h(v) = -8*v + 14. Let r = -53 + -87. Let a be 4/6 - r/(-12). Let p(s) = -3*s + 5. Let l(m) = a*p(m) + 4*h(m). Calculate d(i) - 3*l(i). -i - 2 Let r(u) = -5*u**3 + 4*u**2 + 2. Let s(b) = 26*b**3 - 21*b**2 - 12. What is 11*r(l) + 2*s(l)? -3*l**3 + 2*l**2 - 2 Let x(q) = 16*q**2 - q - 11. Suppose 267 = -4*l + 3*i, -3*l + 0*l - 195 = 3*i. Let o be ((14/4)/(-7))/(3/l). Let u(f) = 3*f**2 - 2. Calculate o*u(y) - 2*x(y). y**2 + 2*y Let s(w) = -3*w**2 + w - 7. Let l(m) = -m + 1. Give -5*l(n) - s(n). 3*n**2 + 4*n + 2 Let w(x) = 8*x - 6. Suppose -6*y + 7*y - 5 = 0. Suppose 2*m + c - 21 = -3, -y*m + 42 = 4*c. Suppose -4*k + m = -14. Let q(t) = -7*t + 5. Give k*w(l) + 7*q(l). -l - 1 Let q(u) = 2*u**2 + 51*u + 157. Let n be q(-22). Let s(b) = 5*b**3 + 2*b**2 + 4*b + 3. Let l(a) = 4*a**3 + a**2 + 3*a + 2. What is n*s(h) - 4*l(h)? -h**3 + 2*h**2 + 1 Let d(v) = -3*v**3 + 2*v**2 + 100. Let l(r) = 2*r**3 - 2*r**2 - 101. Determine 3*d(n) + 4*l(n). -n**3 - 2*n**2 - 104 Let i(b) = -b**2 - 1. Let d(c) = -c**3 - 10*c**2 + 3*c - 6. Suppose -358*q + 36 = -364*q. Calculate q*i(p) + d(p). -p**3 - 4*p**2 + 3*p Let o = 8 - 6. Let r be -3*o*4/(-8). Let u(c) = c**3 - 2*c**2 + 2*c + 1. Let n(w) = -3*w**2 + 3*w + 1. Determine r*u(g) - 2*n(g). 3*g**3 + 1 Let y(d) = -101*d - 1. Let g(m) = -302*m - 3. What is 3*g(f) - 8*y(f)? -98*f - 1 Let h(q) = 11*q**3 - 5*q**2 - 3*q + 10. Let p(b) = 2*b**3 - b**2 - b. What is -h(a) + 5*p(a)? -a**3 - 2*a - 10 Let x(z) = 10*z**3 - 6*z**2 - 6*z - 17. Let v(h) = 9*h**3 - 5*h**2 - 5*h - 16. Give -6*v(p) + 5*x(p). -4*p**3 + 11 Let z(n) = -177*n - 1. Let s(y) = 10*y. What is -6*s(u) + z(u)? -237*u - 1 Let l(y) = -8*y**2 + 5*y - 25. Let i(o) = -8*o**2 + 4*o - 23. Determine 5*i(d) - 4*l(d). -8*d**2 - 15 Let p(f) = -315*f**2 + 6*f - 8. Let n(u) = 314*u**2 - 5*u + 7. Calculate 6*n(d) + 5*p(d). 309*d**2 + 2 Let y(p) = -4 + 5 + 2 + p. Let l(c) = 19. Let x(j) = 230. Let g(u) = 12*l(u) - x(u). What is -4*g(r) - 3*y(r)? -3*r - 1 Let i(k) = -k**3 + k**2 - 62 - 56 + 118. Let f(a) = a. Determine -2*f(q) + 2*i(q). -2*q**3 + 2*q**2 - 2*q Let m(t) = -513*t - 12. Let f(v) = -515*v - 18. Calculate -2*f(b) + 3*m(b). -509*b Let m = -13 - -15. Let c(l) = 0*l**m + 23 - 24 + l**2. Let s(o) = -2*o**3 + o**2 - 6. Give -c(r) + s(r). -2*r**3 - 5 Let x(a) = 7*a + 3. Let o(n) = 190*n + 80. Let h(t) = 149*t + 69. Let b be h(-1). Determine b*x(v) + 3*o(v). 10*v Let v(r) = -r**3 - 10*r - 101. Let g(b) = b**3 + 12*b + 100. Determine -5*g(j) - 6*v(j). j**3 + 106 Let l(z) = -27*z + 1. Let j(o) = 29*o - 2. Calculate 5*j(r) + 6*l(r). -17*r - 4 Let u be 24/(-120) + (-8)/10. Let m(f) = 6*f**2 - 3*f. Suppose 0 = 6*z - z - 20. Let n(k) = k**2 - k. Calculate u*m(a) + z*n(a). -2*a**2 - a Let x(i) = i**3 + i**2 + i. Suppose -109*l = -103*l + 12. Let n(v) = -12*v**3 - 15*v**2 - 15*v. What is l*n(o) - 30*x(o)? -6*o**3 Let g(o) = 22*o**2 - 5*o + 3. Let a(k) = -7*k**2 + 2*k - 1. Give -7*a(z) - 2*g(z). 5*z**2 - 4*z + 1 Let h(d) = -3*d - 8. Let x(v) = 5*v + 14. Calculate 5*h(t) + 2
{ "pile_set_name": "DM Mathematics" }
7)/3? 1/3 What is the value of 4/3*(5/(770/(-637)) - -4)? -2/11 What is -90*-15*17/(-1275)? -18 What is (-28)/(-133) + (-156)/19? -8 Calculate (-7 + 440/56)*42/(-96). -3/8 What is the value of (-91)/147 - 27/(-81)? -2/7 Evaluate 8 - (9/(-18)*4)/((-16)/73). -9/8 Evaluate ((-2)/5)/((-2563)/(-4660)). -8/11 ((-16)/64)/(((-75)/160)/((-2)/(-8))) 2/15 What is 4 + (-172)/559 + 462/(-104)? -3/4 What is (-88)/1520*12 - (-16)/20? 2/19 What is the value of (-1)/3*18/6 + (-2484)/(-2412)? 2/67 Calculate 12 - 8 - (63/56 + 1 + 2). -1/8 Calculate ((-5)/(-6)*(-246)/820)/2. -1/8 Evaluate (-83*32/(-18592))/((-1)/(-161)). 23 What is (10/6)/(938/84 - 12)? -2 1037/(-612) - 9/((-36)/5) -4/9 ((-111)/(-222))/((-9)/(-2)) 1/9 Evaluate (14 - 21)*(-5 + 95/20). 7/4 What is the value of -2440 + 2443 + ((-36)/13)/1? 3/13 Evaluate (-13)/416 - 9381/1888. -5 Calculate (-23 - (-196)/8)/((-6)/8). -2 -23 - (-6 + 4) - -13 -8 Calculate (-14 - -104)/9*((-84)/(-45) + -2). -4/3 Calculate -7 + ((-8)/(-10) - 14/((-1120)/496)). 0 What is the value of (11*330/484)/((-6)/(-4))? 5 -7 - (4/18 + (-19665)/2835) -2/7 What is the value of (-232)/(-174) - 21/9? -1 Evaluate ((-27)/(-12))/((-22)/88). -9 What is (20/14)/(2048/(-7168))? -5 Evaluate (-55104)/3920 + 28/2. -2/35 95*15/(-1425)*19 -19 Evaluate 9 + 1743/(-84) - 3/(-4). -11 17/((-952)/(-32))*(-21)/(-6) 2 Calculate 108/(-198)*198/(-351). 4/13 What is (2 - 270/130)/(2/26)? -1 What is 14 + -13 + 48 + -18? 31 Calculate (302 - 297)*((-1)/(-2) - 47/(-10)). 26 What is (41 - 915/30)*(0/1 - -2)? 21 What is 36*(-13)/312*(-2)/(-3)*1? -1 80/8 - ((-147)/(-7) + 2) -13 Calculate (2060/(-2472))/(2/(2/5)). -1/6 (-63)/(-12) - (-19)/(-98 + 22) 5 Evaluate (156/9 - 10)/(-3*6/27). -11 ((-2)/((-7)/(-2) - (-748)/(-204)))/1 12 What is the value of (10 - 0) + 48 + -51? 7 What is the value of ((-40)/180)/(-2 + 19/9)? -2 What is ((-6)/15)/((-2268)/420)? 2/27 (2 - (-247)/(-95))/((-2)/70) 21 What is (-22)/99 + (184/18 - 6/6)? 9 Evaluate ((-4)/15)/((-110)/(-25)) + 156/(-3960). -1/10 What is the value of (-12 + (-240)/(-12))/((-12)/27)? -18 What is 39/26 + -3 + (-147)/(-14) + -3? 6 What is the value of (1/(-4))/((-10 - 16) + 27)? -1/4 What is the value of 1524/(-635) + (-12)/(-30)? -2 28/20*(3/(-12))/(3/30) -7/2 What is the value of (32 - (-8 + 10)) + -29? 1 (323/38)/(-1*(20/(-8) - -2)) 17 What is the value of (-464)/812 + (-129)/7? -19 (-15097)/(-974)*(2 - 0) 31 What is 332/(-2158) - (360/26 - 0)? -14 What is the value of (500/200)/(30/14)? 7/6 Calculate -4*(1/11 - (-37105)/7964). -19 Evaluate 7869/(-903) + 4/(-14). -9 What is (((-14)/15)/((-24)/240))/((-4)/(-6))? 14 What is ((-5)/(-4))/((34/(-204))/((-1)/15))? 1/2 (850/(-65) - -13)*(-13)/9 1/9 ((-30)/8)/(-30*3/864) 36 (144/324*(-27)/6)/(-10 - 0) 1/5 What is the value of -8*143/208 - -2? -7/2 What is ((-2884)/140 + 21)/((-36)/75)? -5/6 Evaluate (2 - (-1 + 2)) + 14 + (-600)/36. -5/3 Evaluate (-1564)/(-3910) + (-168)/445. 2/89 What is (-1 - -2)*2/((-4)/26)? -13 Calculate (-2024)/(-115) - (-30)/(-50). 17 What is (-10)/40*8*63/(-6)? 21 What is the value of ((-15)/40)/(459/(-1632))? 4/3 What is the value of (-546)/189 - -1*(-1)/(-1)*2? -8/9 Evaluate 1*((-74)/(-12) - 7)*27/30. -3/4 What is the value of (-658)/238 + 32/(-136)? -3 Evaluate (-1)/10 + (-456)/(-285). 3/2 What is 42/240 - (69/(-24) + 3)? 1/20 What is the value of (-3)/1 - -4 - 5*(-16)/(-40)? -1 ((-1472)/920)/(112/(-20)) 2/7 6 + -1 + ((-4940)/245)/4 -2/49 (208/(-2))/(-2)*79/(-158) -26 Evaluate 34496/7744 - ((-8)/(-66) - 2/3). 5 Evaluate -3*(-14)/(-168)*(-1 + -1). 1/2 What is (2352/19992)/((-12)/17)? -1/6 What is the value of (((-1 - 2)/6)/(315/18))/1? -1/35 Evaluate (-24)/108*27/(-78). 1/13 What is the value of (-66)/(-44) + -18*((-60)/16 - -4)? -3 (1 - (1 + 2/(-9))) + (-25)/(-9) 3 Calculate (5/3)/((-25)/180). -12 ((-34)/(-44))/(552/(-12144)) -17 What is the value of 2176/(-170) + 15 - 1? 6/5 What is the value of (-2)/(-40)*(-496 - -504)? 2/5 Evaluate 3 + 6/12*-4. 1 6/(-60) - ((-39)/(-10) + 10) -14 Evaluate 120/(-25)*50/6*46/(-115). 16 24/20 - 378/(-35) 12 What is (-45 - -41 - (-26)/7) + (-945)/(-49)? 19 Calculate (-8 + (-945)/133 - -15) + (-1374)/(-57). 24 What is -8*(20 + (-665)/35)? -8 Evaluate 0 + 3/2 + (-90)/(-140). 15/7 Evaluate (3 - -1)/((16/(-88))/((-45)/495)). 2 Evaluate (-22 + 42 - 17)/(-1*1). -3 Calculate -5 - (1 - 3)/(-3 - -9 - 4). -4 Evaluate ((-66)/(-30))/(76/(-380)). -11 -2 - (110/(-1980))/(62/(-64) + 1) -2/9 (-54 - (-34 + -17))/(210/(-4)) 2/35 Calculate (-10 - 192/(-20))*2/14. -2/35 Calculate (-14 - -18)/((-6)/(-54)*(-1 - 1)). -18 Evaluate (-2)/((-16)/(-3)) - ((-23493)/(-328) - 83). 11 Calculate (60/(-35))/4 - 1000/280. -4 Evaluate 16 - 15 - (3/6 - -2)/4. 3/8 What is the value of ((-9680)/1815)/((-2)/(-3))? -8 1479/986*2*11/(-3) -11 What is -9 - (-11 - -14 - 6)? -6 What is 4/(-28)*(-490)/28? 5/2 ((-3)/(-2))/((-663)/8840) -20 (-115)/322*(-24)/(-10) -6/7 Evaluate 90/27 + -5 + 15/5. 4/3 What is 2/(-7) - (-19 + 676/182)? 15 46/(-738) - (-1948)/(-39934) -1/9 Evaluate 480/400*(-700)/30. -28 (-4 - 25/(-10))/((-18)/(-24)) -2 What is the value of (260/1430)/((-50)/(-165))? 3/5 What is ((-8)/36*(-18)/3)/(824/(-22866))? -37 Evaluate (-1 - (-210)/250)/((-10)/25). 2/5 Evaluate 48*(-20)/(-160) - 152/26. 2/13 What is the value of (-160)/384*(-8)/(-10)? -1/3 Calculate 11 - (1 - -7) - (1 - -7). -5 Evaluate (-40)/(-24)*(0/(-11) + -9). -15 What is (14/(-112))/((-36)/(-192))? -2/3 (-418)/76*24/(-440) 3/10 Evaluate ((160/(-15))/(-8))/((-20)/(-50)). 10/3 What is (-8*1/3)/(-390 - -389)? 8/3 Evaluate ((-396)/110)/(18/120). -24 Calculate (-770)/168 + 64/12. 3/4 What is the value of (4255/966)/5 - (-1)/(-6)? 5/7 What is (-36)/9 - 72/(-30)? -8/5 Calculate (-660)/385*(-63)/18. 6 Calculate -6*(12/3 - 301/86). -3 Evaluate (-1393 - -1395)*(-1)/4*6/4. -3/4 28/16*-6*(-45)/(-1890) -1/4 What is (-7)/((-42)/48) - (-4 - (-85)/5)? -5 (-1435)/(-123) - 112/(-21) 17 Evaluate (-28)/(-126) + 22/(-18). -1 Evaluate (924/(-6160))/(6/(-50)). 5/4 What is (-9)/24*2 + 506/88? 5 Evaluate (16/16)/((-15)/(-45)). 3 What is 25/(-15) + ((-1)/9)/((-32)/1632)? 4 What is the value of (-164610)/4836 + 2*17? -1/26 ((-5)/(-2))/(500/175) + -11 - -10 -1/8 Evaluate 201/536*(0 + 8) - -7. 10 Evaluate ((-22)/(-66))/((-135)/(-50) - 3). -10/9 What is the value of (5/(-49))/(46/(-322))? 5/7 What is (2/(-5))/(157/(-4710))? 12 What is the value of 16 - (-50)/(-5) - ((-6)/3)/(-2)? 5 What is the value of 12360/(-7200) - (-10)/6? -1/20 What is the value of (4/2)/(1 - 228/84)? -7/6 What is the value of (14 - 14) + (-5 - (-3 + -2 + 15))? -15 ((-40)/14)/((-8)/28*(2 + -3)) -10 (-44)/(-20) - (10/12)/((-865)/(-2076)) 1/5 Evaluate (-244)/(-34) + 1 - (32 + -29 + 5). 3/17 What is the value of 1820/1610 - (4/2 - (3 - 2))? 3/23 (2 + -4)*(19 - 1164/60) 4/5 What is (4 + -5)*1/3 - (-30)/108? -1/18 Evaluate 66/272 + (-443)/3544. 2/17 (-10379)/(-873) + (-39)/3 -10/9 What is (108/198)/((-30)/(-33))? 3/5 (5/(-10) - 234/(-144))/((-12)/(-8)) 3/4 Evaluate 10 + 246*76/(-1881). 2/33 What is the value of (0 - 1)*15/(-28 - -13)*16? 16 (-1323)/(-126) + 20/(-2) 1/2 What is ((-5)/10)/(44/(-264))? 3 What is the value of 3*(-96)/27*168/112? -16 Calculate (-25760)/770 - ((-9)/(-18) - 1/(-22)). -34 What is 9 - 5 - (-11 - -21)? -6 (-41)/5 + 1620/225 + (-1 - 7) -9 (30/(-30))/((-2)/22) 11 26 + (-114)/6 + 9 - (-4 + -2) 22 (7434/(-60))/21 + 20/8 -17/5 What is (105/8190)/((-1)/9)? -3/26 What is the value of (-4)/24 - (-1540)/1650*(-2)/8? -2/5 Evaluate (-2)/(-78*(-80)/520). -1/6 Evaluate (2/10*(-42)/(-273))/((-6)/(-60)). 4/13 ((-1)/5)/((-360)/(-1350)) -3/4 What is (-4)/(-112)*((-20)/5 - -3)? -1/28 (4*9/(-96))/(342/(-608)) 2/3 (1 + (-12)/15)/((-50)/1750) -7 What is the value of ((-747)/(-2490))/(9/4)? 2/15 Evaluate 34/(-9)*((-638)/44 + 13). 17/3 What is ((-5)/10 + -1)*(-1 + -1 + 4)? -3 What is the value of (-32)/4 + 4/((-36)/27)? -11 What is the value of (58/4)/((-46)/(-2208)*24)? 29 913/1386*6 - (-8)/(-3) 9/7 Calculate 5 + 132/11 + -17. 0 Calculate (-66)/14 + (-11)/154*4. -5 Evaluate ((3 + (-309)/105)*5)/((-12)/(-84)). 2 What is the value of 6/12*12/24? 1/4 Evaluate (-63)/(1260/(-160)) + -9 + -1. -2 What is 3/(-78) + 29/(3016/(-1764))? -17 What is the value of (-2)/(-14)*(-44)/(-154)? 2/49 (-16)/10*(-25)/10 + 0 4 What is the value of -9*(-8)/72*0 - 8/(-3)? 8/3
{ "pile_set_name": "DM Mathematics" }
minutes after 12:35 AM? 3:14 AM How many minutes are there between 9:50 PM and 8:07 AM? 617 What is 709 minutes after 6:32 AM? 6:21 PM How many minutes are there between 6:59 AM and 5:23 PM? 624 What is 135 minutes before 1:58 AM? 11:43 PM How many minutes are there between 10:40 AM and 5:22 PM? 402 What is 103 minutes after 1:04 AM? 2:47 AM What is 317 minutes before 9:08 PM? 3:51 PM What is 507 minutes after 7:00 AM? 3:27 PM What is 137 minutes before 10:14 PM? 7:57 PM How many minutes are there between 2:37 AM and 10:49 AM? 492 How many minutes are there between 2:22 AM and 2:17 PM? 715 How many minutes are there between 9:21 AM and 11:05 AM? 104 What is 420 minutes after 12:17 AM? 7:17 AM What is 82 minutes before 2:46 PM? 1:24 PM What is 587 minutes before 7:32 PM? 9:45 AM What is 315 minutes after 3:48 PM? 9:03 PM What is 597 minutes before 6:59 AM? 9:02 PM What is 91 minutes before 12:21 PM? 10:50 AM What is 502 minutes before 2:24 PM? 6:02 AM What is 367 minutes after 1:35 PM? 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628 What is 418 minutes after 9:44 PM? 4:42 AM How many minutes are there between 8:40 AM and 5:58 PM? 558 What is 517 minutes before 2:27 AM? 5:50 PM How many minutes are there between 4:55 PM and 11:49 PM? 414 How many minutes are there between 4:29 PM and 10:56 PM? 387 How many minutes are there between 2:06 AM and 10:28 AM? 502 How many minutes are there between 9:26 AM and 12:12 PM? 166 How many minutes are there between 7:46 PM and 3:20 AM? 454 How many minutes are there between 11:13 PM and 2:18 AM? 185 How many minutes are there between 9:08 AM and 9:12 AM? 4 What is 641 minutes after 12:48 AM? 11:29 AM How many minutes are there between 3:23 PM and 10:11 PM? 408 How many minutes are there between 7:50 AM and 2:50 PM? 420 What is 564 minutes after 12:40 AM? 10:04 AM How many minutes are there between 6:15 AM and 2:43 PM? 508 How many minutes are there between 2:09 AM and 11:12 AM? 543 How many minutes are there between 8:33 PM and 12:46 AM? 253 What is 570 minutes after 4:01 AM? 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663 What is 667 minutes after 9:29 AM? 8:36 PM How many minutes are there between 8:56 AM and 1:22 PM? 266 What is 111 minutes after 4:00 AM? 5:51 AM What is 474 minutes before 2:20 AM? 6:26 PM What is 342 minutes after 1:08 AM? 6:50 AM What is 289 minutes after 1:46 PM? 6:35 PM How many minutes are there between 5:44 PM and 1:30 AM? 466 What is 321 minutes before 8:36 PM? 3:15 PM How many minutes are there between 11:40 AM and 2:04 PM? 144 How many minutes are there between 1:44 AM and 7:02 AM? 318 How many minutes are there between 4:02 AM and 6:21 AM? 139 How many minutes are there between 1:26 AM and 11:54 AM? 628 What is 328 minutes after 1:25 AM? 6:53 AM How many minutes are there between 12:12 PM and 9:48 PM? 576 What is 492 minutes before 10:32 AM? 2:20 AM How many minutes are there between 3:31 AM and 5:22 AM? 111 What is 704 minutes after 12:59 PM? 12:43 AM How many minutes are there between 5:13 PM and 10:26 PM? 313 How many minutes are there between 12:32 PM and 4:03 PM? 211 What is 353 minutes after 4:49 AM? 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{ "pile_set_name": "DM Mathematics" }
5*t for g. -1 Solve 26 = -2*u - 3*l, -19*u - 1 = -2*u + 22*l - 24*l for u. -1 Solve -111 = 3*m + 3*b, -74*b = 4*m + 115 + 296 - 125 + 212 for m. -32 Solve -2001*k = -2*v - 1997*k - 6 - 42, 25*v + 3*k = 10*v + 36 for v. 0 Solve 0 = -3*r - 5*g - 135 + 154, 3*r = 8*g - 7 for r. 3 Solve 42 + 6 = -2*g + j, -103 - 24 = 5*g - 4*j - 2*j for g. -23 Solve j + 254*t = -250*t + 502*t - 61, 6*t + 56 = 4*t for j. -5 Solve 20 = 2*t, 11*x + 0*t - 3*t + 85 = -4*t + 51 for x. -4 Solve 34*k - 5*v = 24, 17*v + 6 = -3*k - k + 22*v - 0 for k. 1 Solve -3*h - 3*i = 153, 470 = 9*h - 5*i + 985 for h. -55 Solve 18 = -10*q - 2*t, -81*t - 12 = 4*q - 32*t - 47*t for q. -1 Solve -2*k + 32 = -4*i, -3299*i + 3303*i - k = -32 for i. -8 Solve -w + 5752 = -y + 5739, 3*w - 46 = -4*y for w. 14 Solve -3*h = 200150*m - 200151*m + 40, -h = -2*m + 20 for m. 4 Solve 556*r - 17 = 555*r - 4*y, -r + 9 = 2*y - 2 for r. 5 Solve -36*t + 4*p - 180130 + 180246 = 0, p + 21 = t for t. 1 Solve 2*p + 2*d = -5*p - 212, -3*p + 8*p + 155 = -5*d for p. -30 Solve 10*g = a - 14, -3*a + 134 = 5*g - 0*g + 127 for a. 4 Solve -3*w + 43 = 4*z, -21*w - 20131 = -3*z - 20401 for w. 13 Solve 5*k + 5*j = 65, -10*k + j = -51945 + 51760 for k. 18 Solve 3*v - 3*i + 69 = 0, -106 = -15*v + 11*v - 17*i + 12*i for v. -1 Solve -5*z + 8 = -184477*b + 184476*b, -2*z - 11*b - 31 = 0 for z. 1 Solve -235 + 209 = 2*p, 0 = -c - 3*c + 6*p + 94 for c. 4 Solve -v + 4*m = 0, -386*m + 381*m + 12 - 37 = -6*v + 11*v for v. -4 Solve 5*v = 150, 7*y + 32*v + 30*v - 58*v = 141 for y. 3 Solve 0 = 5*r - 3*g + 54, 4619*r - 4624*r - 4*g - 68 = 0 for r. -12 Solve -5*l - 210 = -28*c, -519*l = 4*c - 538*l - 286 for c. 5 Solve 6*x - 22 = -4*j, -3*j - j + 18*j = 9*j + 2*x + x - 25 for j. -2 Solve 74859*a - h = 74863*a - 71, 6*h = -17*a + 405 for a. 3 Solve 3*g = 6*g + 7*z + 10, 2*g + 736*z - 738*z = 0 for g. -1 Solve 0 = y - 3*g - 19, -101 - 7 = -176*y - g + 62 for y. 1 Solve 7*n + 6*n = -110*z + 111*z + 8*n - 17, -3*n = -4*z for z. -3 Solve h = 3*j - 152 + 98, 5*h + 34*j = -25 for h. -39 Solve -r - 3*s - 20 = 0, 37374*r + 7*s + 55 = 37370*r for r. -5 Solve -2473*w - u = -4938*w + 2461*w + 10, -2*w + 3*u + 1 + 19 = 0 for w. 1 Solve -5*u = 22853*s - 22858*s - 375, 3*u = 231 for s. 2 Solve -40 = -1915849*w + 1915844*w + 4*r, 5*w + 10*r + 30 = 0 for w. 4 Solve -2*h + 3*z = -5*h + 6*z - 0*z + 99, -5*z - 183 = 4*h for h. -2 Solve 4*c = 21*z + 31*c - 24*c - 282, -3*z + 2*c - c = -46 for z. 14 Solve 82*g = -o + 81*g + 19, -5*g + 245 = 15*o for o. 15 Solve -343*o - 24 = 4*z - 347*o + 4, -2*z + o - 12 = 0 for z. -5 Solve -t - 608*c + 44 = -626*c, 1 - 16 = 5*c for t. -10 Solve -5*j - 33 = -w, -341462*j = -341463*j - 7 for w. -2 Solve -3*h + 1 + 1 = 8*g + 9, -654*h + 650*h = g - 39 for h. 11 Solve -19*y = -15*y - 6*y - d - 15, 3*y + 4*d = -60 for y. 0 Solve 4*g + 757*u = 754*u - 95, -5*g + 5*u = 75 for g. -20 Solve -25*w + 4*w - 4*h + 773 = 0, 3556*h + 4 = 3552*h for w. 37 Solve 6*d - 5*n + 318 = -6*d + 19*d, -n + 134 = 7*d - 4*d for d. 44 Solve -4*b = 55*u - 58*u + 13 + 10, 4*u - 5*b - 42 + 12 = 0 for u. 5 Solve 6*n - 5*n + 18 = -4*v, -231*v + 49*n - 50*n = 699 for v. -3 Solve -2441*i = -2450*i - 3*b - 48, i + 3*i + 14 = 3*b - 3 for i. -5 Solve 4*y - 3 = -a + 7, 35419*a - 42 = 35416*a for y. -1 Solve 10*c - 4*z + z = 24 + 58, 5 - 65 = -4*c + 8*z for c. 7 Solve 2*f - g + 16 = 0, 40349*f + 28*g - 241 = 40336*f for f. -3 Solve -3*g - 22 = -2595*s + 2597*s, -2*g - 13 = s for s. -5 Solve -9*l - 81 + 94 = 2*u, -4*u + 0*u = -3*l + 79 for u. -16 Solve -2*y + 0*y - 22*o = 5 + 27, y - o = 8 for y. 6 Solve -5*f - 18 = q - 34, -f = -1 for q. 11 Solve 1182*z - 601*z = 4*u + 580*z + 1, z = 2*u - 1 for u. -1 Solve -10*q + 6*q = 35*q - 2*i - 147, 5*q - 5*i = 90 for q. 3 Solve 2*j - 509 + 491 = 5*j - 3*t, 0 = -15*j - 22*t - 238 for j. -10 Solve 5*t = -4*a + 77, -205 - 138 + 412 = 6*t + 3*a for t. 5 Solve -3*t - 5*d - 2796 = -0*t - 2784, 0 = -t - 22*d - 65 for t. 1 Solve -b - 2*z - 41 = 0, -z + 25*z = -5*b + 27*z + 42 for b. -3 Solve 10*o + 6*o + 3*j - j + 2*j + 0*j = -168, 3*j + 6 = 0 for o. -10 Solve 3*c + 5*m = 48, -93*m = 4*c - 43*m - 47*m - 53 for c. 11 Solve 147973 = 5*m - 4*z + 147975, 0 = -10*m + 3*z + 11 for m. 2 Solve 409*r - 405*r + 17 = -q, -5*r + 3*q + 51 = 0 for r. 0 Solve -5*b + 1 - 29 - 71 + 169 = -6*w, -4*b + 38 = -w - 18 for b. 14 Solve -461547 = -4*t + w - 461559, 0 = -2*t - 3*w - 20 for t. -4 Solve 11 = -282*m + 280*m - w, -112*m - 3*w = 563 for m. -5 Solve 3*y - 5009*k + 5006*k + 1 + 5 = 0, 16 = y + 5*k for y. 1 Solve 1070*h - 1071*h - 5*d - 9 = 0, 37*h + 150 = -2*d for h. -4 Solve 14*z = 6*c + 326, 0 = 3*c + 22*z - 24*z + 188 for c. -66 Solve 0 = y + 3*y + 5*d - 150, -7*d - 145 = -5*y + 8*d for y. 35 Solve 21*x - 5*b = -17664595 + 17664477, -4*x - 45 = -3*b for x. -3 Solve 2*i + 66 + 124 = 5*i - b, 4*i = 4*b + b + 268 for i. 62 Solve 4*o - 10*o + 5*n + 140 = -11*o + 125, -8*n = 4*o + 4 for o. -5 Solve 80 = -4*y + 2*z, -8482*y + 8484*y = 5*z - 208 for y. 1 Solve -5*h + 236 = -24*a, 2*a - 1 = -0*a + 40*h - 78 - 101 for a. -9 Solve -662*u - 2*w + 44 = -663*u - 11, -5*u = 7*w - 218 for u. 3 Solve -4*n = 4*x + 7475 - 7447, -5*n - 19*x - 63 = 0 for n. -5 Solve -4*z - 263*l = -9*z - 265*l - 245, 0 = z + 11*l - 4 for z. -51 Solve 17 = -1769837*c + 1769835*c - 5*v, 2*c - 3*v - 23 = 0 for c. 4 Solve 56*a + 3*d + 41 = 85*a - 33*a, -a - d = 7 + 7 for a. 1 Solve -2*v = -2*s - 8, 37*v - 8 = -s - 3*s + 38*v for s. 4 Solve -52 = 17*z - 5*t - 153, 678*t + 2 = 3*z + 675*t - 1 for z. 8 Solve -8*x = 4*r - 180, 228 = r - 5*x + 351 for r. -3 Solve -25*z - 23*z - 9*p = -4*p + 53, 0 = -z - 4*p - 5 for z. -1 Solve 7*z - p - 5 + 21 = 0, 0 = 10*z - 15*z + 4*p - 18 for z. -2 Solve 4*q - 4*v = -8, 16409*q - 5*v + 3 = 16411*q for q. -1 Solve 2*d + 9*q - 27 = 0, -24 = 6690*d - 6695*d - 8*q for d. 0 Solve 3*o - 12 = -20*g, 2*o - g + 2138 - 1079 = 2*g + 1067 for o. 4 Solve -j = 2*j - 5*h - 158, -5*j - 13*h = -8*h - 250 for j. 51 Solve -4*p - 46 = 11*k - 3*k - 6*k, 3*k = 11*p + 118 for p. -11 Solve 38*v - 11*v = 5*f + 181, -3*v = 4*f + 71 for f. -20 Solve -6*r + 3*c + 64 = -8*r - 61 + 46, -6*c - 170 = r for r. 4 Solve 679 - 683 = -c, -8*u - 5*c - 20 = 0 for u. -5 Solve 3*i + 14*n + 89 - 130 = -100, -i + 5*n + 19 = 0 for i. -1 Solve 5*f + 20 = -5*m - 200, -2*m + 93 = 183 for f. 1 Solve -1186 = 197*s + 4*m, 2075*m - 13 = 2*s + 2076*m for s. -6 Solve -89*l - 20 = -83*l + 4*r, l - 8*l + 8*r = -116 for l. 4 Solve 16*u - 3 + 0 = -5*t - 19 + 2, 2 = 2*u for t. -6 Solve 96 = -4*o, 3*f = 5*o + 6889 - 6778 for f. -3 Solve 8*a - 100*m + 54*m - 82 = -56*m, 2 - 16 + 4 = -2*m for a. 4 Solve -11*s = -6*s - 14*s + 81, 4*k + 103 - 186 = -7*s for k. 5 Solve 9*o + 4*r + 74 = 0, -5*o + 85*r + 102 = 81*r for o. 2 Solve 0 = 4*m + 2*w + 30, m - 95*w - 135 - 732 = 5*m for m. -3 Solve -5*z = -3*f + 15, -101*f - 15 = -104*f + 11*z for f. 5 Solve -19 = i - w, 42 = 3*i - 7*i - 2*w - 36 - 4 for i. -20 Solve -z = t - 41532 + 41527, -13 = -2*z - 3*t for z. 2 Solve -143*i + 5*n - 64340 = -64433, 20 = 2*n for i. 1 Solve -195*v + 193*v = -g - 2, -3*g - 7*v - 3 = -5 - 5 for g. 0 Solve 0 = -3*c + 87, 116 = z + 1484*c - 1480*c for z. 0 Solve 0 = -2*x - 5*t + 43, 286*t - 143*t - 36 = -2*x + 139*t for x. 4 Solve -3*r = 2*z + 347, 2*z = 13*r - 5060 + 6617 for r. -119 Solve -u - 730 = 2*s - 377 - 368, 5*u = 41*s - 333 for s. 8 Solve -5*i + 7*u = 4*u + 271, 0 = 4*u - 28492 + 28504 for i. -56 Solve -j + 30*j + 145 = 0, 8*j + 35 = q for q. -5 Solve 5*v = -2*d - 38, -7*v - 124 = -5*v + 35*d - 7*d for v. -6 Solve 3692*q = 5*w + 3685*q + 78, 0 = 2*w - 4*q + 60 - 18 for w. -3 Solve 261*r - 258*r = -4*b - 159, 5*r = -b - 248 for r. -49 Solve -3*v - 5*s + 50 = 0, 244*s + 188 = 4*v + 260*s for v. -5 Solve -173*v - 380 = -5*p - 109*v, -35 = -5*p - 5*v for p. 12 Solve 5*t = -34*j - 2, -82*j + 78*j = 2*t + 20 for t. -14 Solve 19*f = 37*f - 31*f - 3*t + 35, 3 = t for f. 2 Solve 4*y = 26*c + 58, 3*c = -6*y + 1432 - 1219 for c. 3 Solve -3*g - 58 = -3*s + s - 68, 4*g - 25*s - 130 = g - 143 for g. 4 Solve -10 + 29 = q + 10*g, 2*q = -0*g + 5*g + 38 for q. 19 Solve -914*f - 62 = -916*f + 2*g, -3*f + 149 = -5*g for f. 3 Solve -5*c - m = 6*c + 14, 2*m - 20 = 2*c for c. -2 Solve 16 = 5*p - 9, 0 + 35 = 2*k - 3*p + 138 for k. -44 Solve -5091 = 2*d
{ "pile_set_name": "DM Mathematics" }
1/136 What is prob of sequence uu when two letters picked without replacement from {u: 5, c: 4, t: 1, r: 1}? 2/11 Two letters picked without replacement from {u: 1, n: 1, i: 1, l: 1, f: 2, a: 2}. Give prob of sequence in. 1/56 Two letters picked without replacement from ececu. Give prob of sequence ec. 1/5 What is prob of sequence vv when two letters picked without replacement from {p: 2, j: 2, y: 1, t: 1, v: 6}? 5/22 Two letters picked without replacement from {c: 1, o: 2, n: 1, d: 1}. What is prob of sequence cn? 1/20 Calculate prob of sequence ol when two letters picked without replacement from lofjrqol. 1/14 What is prob of sequence ba when two letters picked without replacement from paebe? 1/20 What is prob of sequence ifi when three letters picked without replacement from {i: 4, f: 14}? 7/204 Two letters picked without replacement from bbbbxbbbbmxxbmbbmx. What is prob of sequence xm? 2/51 What is prob of sequence ee when two letters picked without replacement from eeezooooo? 1/12 Three letters picked without replacement from {o: 6, i: 2}. What is prob of sequence ioo? 5/28 What is prob of sequence deee when four letters picked without replacement from {e: 3, d: 1}? 1/4 What is prob of sequence eeee when four letters picked without replacement from {e: 6}? 1 What is prob of sequence nnvx when four letters picked without replacement from {n: 3, v: 1, x: 1}? 1/20 What is prob of sequence oo when two letters picked without replacement from {o: 4, d: 10}? 6/91 Calculate prob of sequence nb when two letters picked without replacement from {n: 4, r: 2, f: 4, z: 3, u: 1, b: 6}. 6/95 What is prob of sequence ts when two letters picked without replacement from stsszszmmzzhszz? 1/42 Calculate prob of sequence le when two letters picked without replacement from kekl. 1/12 Three letters picked without replacement from rfrwrrfwffrw. What is prob of sequence rrf? 2/33 What is prob of sequence xu when two letters picked without replacement from edddxxxeduxxx? 1/26 Two letters picked without replacement from {i: 5, r: 3, w: 3, j: 1, n: 3}. What is prob of sequence wr? 3/70 What is prob of sequence lt when two letters picked without replacement from trjrtl? 1/15 Calculate prob of sequence paap when four letters picked without replacement from tatapaapaaaptp. 3/143 Calculate prob of sequence fff when three letters picked without replacement from {f: 3}. 1 Calculate prob of sequence ym when two letters picked without replacement from {o: 2, h: 3, m: 6, y: 4, c: 1, b: 2}. 4/51 Two letters picked without replacement from vuhxhan. Give prob of sequence uv. 1/42 Three letters picked without replacement from {a: 1, y: 4, u: 1, v: 5, p: 1, h: 1}. Give prob of sequence vvp. 5/429 Two letters picked without replacement from xxxrxxxxxxxrxrx. Give prob of sequence xr. 6/35 What is prob of sequence enz when three letters picked without replacement from {a: 1, e: 10, n: 4, z: 4}? 80/2907 Two letters picked without replacement from {r: 3, z: 5, m: 7, p: 1}. What is prob of sequence pz? 1/48 What is prob of sequence ac when two letters picked without replacement from aayaaaaycaayzaaaccyy? 33/380 Four letters picked without replacement from {w: 3, r: 7, j: 3}. What is prob of sequence wrrw? 21/1430 Calculate prob of sequence gg when two letters picked without replacement from {r: 5, m: 1, g: 4}. 2/15 Three letters picked without replacement from {i: 2, u: 3, l: 1, k: 1}. What is prob of sequence liu? 1/35 Four letters picked without replacement from {a: 1, y: 3, i: 3, z: 6}. What is prob of sequence iyzi? 9/1430 Two letters picked without replacement from raarrarnas. Give prob of sequence rn. 2/45 Two letters picked without replacement from pspcppbbcpbss. Give prob of sequence ps. 5/52 Two letters picked without replacement from qlllllnnqnnlqnqqll. Give prob of sequence nl. 20/153 Two letters picked without replacement from geneppgdpeddpgdneddn. What is prob of sequence gp? 3/95 What is prob of sequence uu when two letters picked without replacement from {u: 2, n: 2}? 1/6 Calculate prob of sequence hqq when three letters picked without replacement from qhhjqe. 1/30 Calculate prob of sequence svvs when four letters picked without replacement from {s: 4, v: 7}. 7/110 Calculate prob of sequence kak when three letters picked without replacement from {a: 3, k: 17}. 34/285 Four letters picked without replacement from {e: 3, s: 3, t: 2}. What is prob of sequence stte? 3/280 Two letters picked without replacement from {o: 4, e: 3, a: 4, r: 4}. What is prob of sequence oe? 2/35 What is prob of sequence mtzn when four letters picked without replacement from {o: 2, n: 1, a: 3, z: 2, m: 3, t: 1}? 1/1980 Calculate prob of sequence xyxy when four letters picked without replacement from yzzxzyyxyxzxyx. 50/3003 Two letters picked without replacement from {h: 4, t: 3, y: 1, s: 4, i: 4, a: 1}. What is prob of sequence ts? 3/68 What is prob of sequence ioii when four letters picked without replacement from iiioo? 1/10 Calculate prob of sequence ii when two letters picked without replacement from {t: 4, i: 2}. 1/15 What is prob of sequence bii when three letters picked without replacement from {i: 1, r: 1, g: 2, b: 2, l: 4}? 0 Four letters picked without replacement from fimjqfmw. What is prob of sequence mfiw? 1/420 Calculate prob of sequence kokr when four letters picked without replacement from krkkkokkkkkrrok. 3/182 Four letters picked without replacement from {e: 6, u: 11, x: 2}. Give prob of sequence euxe. 55/7752 Two letters picked without replacement from {m: 1, f: 1, d: 2}. Give prob of sequence md. 1/6 Calculate prob of sequence uuj when three letters picked without replacement from juuuuuuuuuujjujuuu. 91/612 What is prob of sequence yb when two letters picked without replacement from {b: 15, y: 4}? 10/57 Calculate prob of sequence pppp when four letters picked without replacement from {p: 6}. 1 Calculate prob of sequence xxxd when four letters picked without replacement from {x: 3, d: 8}. 1/165 Three letters picked without replacement from {m: 2, r: 1, g: 1, j: 1, a: 4}. Give prob of sequence ara. 1/42 Three letters picked without replacement from exnxerexxexnx. What is prob of sequence xxe? 10/143 Three letters picked without replacement from {q: 1, p: 1, c: 2, k: 3}. Give prob of sequence kkk. 1/35 What is prob of sequence bb when two letters picked without replacement from {b: 3}? 1 Two letters picked without replacement from {j: 1, t: 1, z: 1, w: 1, c: 1}. Give prob of sequence tc. 1/20 What is prob of sequence usv when three letters picked without replacement from vvvvusuuuduvvvdv? 1/84 Two letters picked without replacement from yyjhyjhyyyhhyhh. Give prob of sequence yj. 1/15 Four letters picked without replacement from jkjk. What is prob of sequence jjkk? 1/6 What is prob of sequence yc when two letters picked without replacement from yyycyyyy? 1/8 Four letters picked without replacement from {c: 15, n: 4}. Give prob of sequence nccn. 35/1292 What is prob of sequence llj when three letters picked without replacement from {j: 1, l: 7, d: 4, f: 2}? 1/52 What is prob of sequence xkai when four letters picked without replacement from xuxuxuxkixixxniiua? 7/18360 Two letters picked without replacement from {e: 1, b: 2, j: 1, o: 1}. Give prob of sequence bj. 1/10 Calculate prob of sequence lay when three letters picked without replacement from aly. 1/6 Three letters picked without replacement from peepwgegpe. What is prob of sequence gpw? 1/120 Calculate prob of sequence rrh when three letters picked without replacement from yrwhlzlhr. 1/126 What is prob of sequence jm when two letters picked without replacement from {k: 6, m: 1, p: 2, j: 4, b: 2}? 2/105 Calculate prob of sequence pw when two letters picked without replacement from {h: 1, t: 4, p: 7, w: 6, a: 2}. 21/190 What is prob of sequence wrp when three letters picked without replacement from {w: 5, e: 3, r: 4, p: 1}? 5/429 Calculate prob of sequence vvv when three letters picked without replacement from {l: 5, v: 5}. 1/12 What is prob of sequence hhxh when four letters picked without replacement from hhhhhhhhxhhhhhyhhh? 7/153 Two letters picked without replacement from yyjjjjj. What is prob of sequence yy? 1/21 What i
{ "pile_set_name": "DM Mathematics" }
((-5032)/666)? 3/17 What is the value of (140/4)/((-26)/(52/4)*(-1)/2)? 35 Evaluate ((-4165)/119)/(308/126*(-75)/20). 42/11 What is the value of ((-63)/(-343)*(-28)/(-8))/(40/(-420)*18)? -3/8 Calculate (147/14)/((10*(-48)/12320)/((-4)/(-14))). -77 What is ((-8)/(-28))/(1*2*2340/(-1260))? -1/13 What is the value of (-5)/(1*(((-2755)/(-57))/29)/(-3))? 9 ((-6)/(-4))/((-217)/2604*(-3)/(-6)) -36 Calculate ((-62)/(-217))/(((-720)/42)/3). -1/20 Evaluate ((-2277)/138)/(72/432). -99 Evaluate (1*17/(4522/342))/((-1)/49). -63 What is the value of (((-2590)/2331)/((-4)/27))/((-50)/(-540))? 81 What is ((-378)/(-96))/3*-2*(26/(-2))/39? 7/8 What is the value of (-3)/(65/(27170/57))? -22 (119625/9570)/(-2*2/32) -100 What is the value of (2/(-10))/(3/387)*-15*(-12)/(-54)? 86 Calculate (-10)/3*2025/540*836/95. -110 (12*22/(-2640))/((1848/60)/7) -1/44 Evaluate -2*((-47)/8)/(-48*44/8448). -47 What is 162/(-108)*72/(-54)? 2 What is ((2/(-20))/(176/(-1320)))/((-12)/(-176))? 11 What is the value of ((-324)/126*812/(-1044))/((-4)/(-98))? 49 What is the value of (-160)/(-3)*(-11685)/(-24928)? 25 Calculate (-135*(-36)/972)/((-5)/41). -41 Evaluate ((-2)/(-2))/(((-15)/(-245))/((-450)/1050)). -7 What is the value of (4016/4016)/(1/(1/3))*21? 7 Calculate -406*22/(-5544)*-18. -29 Calculate (2/4)/(207/(-2)*376/752). -2/207 What is the value of ((-9)/15*(-1880)/3384)/((-25)/1485*3)? -33/5 Evaluate 7/(637/60)*616/6336*-36. -30/13 Evaluate (-7056)/1176*(-57)/(-18). -19 Evaluate 215/1462*((-3)/(-30))/((-2)/(-24)). 3/17 What is the value of (200/(-6))/((-227)/(-106236)*390)? -40 Evaluate (-154)/84*(-345)/(-230). -11/4 Calculate ((-692)/(-865))/(((3/(-45))/(-1))/(375/(-450))). -10 Evaluate (-4)/((-157)/(10362/(-14124))). -2/107 What is the value of 7749/(-2214)*4/154? -1/11 What is 5*((-3)/(-12)*2)/((-5)/(690/161))? -15/7 Evaluate (9/12)/((234/1092)/((-20)/14)). -5 Calculate 84/(-462)*(-32604)/((-468)/12). -152 Evaluate -2*(-5)/(-20)*((-306)/(-68))/(2/(-24)). 27 Evaluate ((-24)/(-1680)*14)/(9/1620). 36 Calculate (100/14)/(4*(-58)/1624). -50 Calculate (15*-1*19/(-3135)*-66)/(2/26). -78 ((-15)/(-3)*3)/(51*(-30)/(-4590)) 45 ((-4)/42)/((-60)/75*695/(-278)) -1/21 Evaluate (486/11)/((-26757)/(-65406)). 108 Calculate (-100)/(-9)*(-25623)/(-3796). 75 What is (12/20)/((-225)/60*9/225)? -4 (((-9779)/231)/127)/(3/180) -20 What is the value of 4/((-28)/21)*((-6)/36)/((-7)/448)? -32 What is the value of (((-11)/(-11))/((-1)/(-1)))/(26*(-59)/32214)? -21 Calculate (-11)/363*(10/(-15))/(39/(-234)). -4/33 What is ((-2)/(-35))/(14/49*7)*3? 3/35 What is the value of ((3/(-8))/(-3))/(556/6672)? 3/2 Calculate (((-906)/(-6040))/(31/5))/(3/8). 2/31 What is the value of 133/14*(-972)/13851*(114/(-4))/3? 19/3 Evaluate (91*(-11)/231)/(4/(-24)). 26 Evaluate (124/5)/(27310/68275). 62 Calculate (-11)/((-605)/(-22))*(-2)/(-1)*1400/(-980). 8/7 Evaluate (3141/1745)/(15/175). 21 What is the value of (2/(-4*18/(-108)))/(1*9/(-99))? -33 Evaluate 660/1320*580/(-5). -58 (25/(-14725)*-31)/(-1*2*9/36) -2/19 Evaluate 2/((-20)/130*13)*10/(-2). 5 What is (-6)/(-108)*621/108*18? 23/4 What is the value of -8*(396/720)/((-4)/10)? 11 What is ((-12)/8*2)/(113/(6215/4125))? -1/25 (-5)/((-10)/(-4))*38*31*30/(-1860) 38 (-2664)/(-1665)*990/1408 9/8 Calculate 7*(-3)/6*-32*73/216664. 2/53 Evaluate (7800/1820)/((-1)/7). -30 What is ((-42)/(-15))/(((-4)/490)/((-34)/(-238)))? -49 222/(-21)*(-1764)/294*(-14)/(-24) 37 What is (-624)/56*(-2009)/(-574)? -39 What is the value of (3/2565*171)/(3/(-465))? -31 (363/22)/((3/(-3))/(1/3)) -11/2 Calculate ((-26)/1)/(((-9)/2)/9). 52 What is (-2)/(37/((-59015)/110))? 29 Evaluate 6/6*-4*24/(-252288)*-72. -2/73 Evaluate ((9348/(-82))/1026)/(5*(-2)/(-6)). -1/15 Calculate (-58135)/104643*(-438)/(-10). -73/3 Evaluate 7/((-168)/(-128))*(-456)/(-76). 32 What is the value of -37*(57/7980*-70)/(1/12*2)? 111 What is the value of (-20835)/13890*(60/45)/(1*(-14)/15)? 15/7 Calculate (144/16)/((12/9)/(7*(-4)/42)). -9/2 Evaluate (1/40)/(61812/(-145440)). -1/17 ((16/234)/(2082/(-4511)))/((-16)/(-84)) -7/9 What is the value of (-2)/(32/(-27))*(219672/729)/226? 9/4 195/416*(-204)/255 -3/8 What is ((-43260)/(-5047))/(340/(-105))*-2*1/(-3)? -30/17 Evaluate (-20*(-15)/1200*-4*3)/((-3)/8). 8 Evaluate ((-251)/502*(-1)/2)/(58*5/(-240)). -6/29 Calculate (-9*(-3)/(-12))/(((-35)/50)/(864/(-3240))). -6/7 What is ((-4700)/(-2820))/((-10)/468)? -78 Calculate ((-95)/57)/((1710/999)/(-38)). 37 What is (-93)/(2046/616)*3/(-21)*6? 24 What is the value of ((-1452)/594)/(67/1206)? -44 Calculate 19/64277*-34*1. -2/199 Calculate 3/(61/((-2806)/(-4761))). 2/69 Calculate 40/5*-1*(-1407)/(-268). -42 What is the value of (-3)/((-6)/(-2))*(-342)/399*7/22? 3/11 Evaluate ((-28176)/(-1761))/((48/44)/(-6)). -88 Calculate (-6210)/1242*(-656)/(-40). -82 Calculate (15/390*(-40)/10)/((-36)/14508). 62 What is (145/((-2445280)/612))/(-4*1/32)? 9/31 Calculate ((-3)/20)/(2*25/(7000/14)*-18). 1/12 Evaluate (6/((-228)/(-2)))/((-230)/(-230)). 1/19 What is 18*2/3*-13*(-216)/1053? 32 What is the value of -1403*-19*(-54)/(-23598)? 61 What is the value of (30/9)/((-8)/12)*(-12)/((-1260)/15)? -5/7 Calculate -14*12/8442*21/(-14). 2/67 9/(-6)*5*(-208)/(-12480)*-880 110 ((-1323)/(-98))/(((-3)/(-8))/((-102)/136)) -27 What is (9/(-15))/((-528)/4576)*-5? -26 Calculate (48/(-168))/((-10)/1260*3). 12 (2816/(-34496))/((-8)/8428) 86 What is the value of (1128/54*-1)/(-10*(-22)/(-990))? 94 35/630*384/8 8/3 What is ((-42339)/1552430)/((-1)/4)? 6/55 What is the value of (2/(-21)*9)/(((-360)/1036)/30)? 74 4/1*(9/(-2655))/((-136)/340) 2/59 What is (-51)/(-3)*3*(-578)/(-867)? 34 What is the value of (88407/(-16929))/(1/9)? -47 Evaluate 1*-11*(-5)/(-110)*-28. 14 What is the value of ((-2142)/39270)/(9/75)? -5/11 Calculate ((-4)/((-12)/(-963))*8/(-60))/(2898/(-7245)). -107 What is (21/49)/(501/25718)? 22 Calculate ((-36)/3)/(5/(-1035)*-46). -54 ((1/3)/(7/12))/(20*1/1260) 36 What is the value of ((-6749)/161976)/((-1)/1464)? 61 Calculate (-8)/22*2002/364. -2 What is the value of (3/((-3)/(-86)))/(64*74/2368)? 43 (-31)/(-9)*((-33)/(-495)*-15)/((-7)/126) 62 Calculate 1120/(-60)*3*(-17)/(1071/(-90)). -80 What is the value of (589*18/(-171))/(((-3)/(-9))/(6/(-18)))? 62 Evaluate (135/(-36))/(31620/(-272)). 1/31 15440/(-8685)*45/70 -8/7 What is (-150)/(-3)*523/1046? 25 What is the value of (1/(-18))/(694/13880)? -10/9 ((-5)/7*14/(-6))/(2*10/72) 6 Evaluate (-66*(-12)/144)/(14/(-42)). -33/2 What is the value of ((-7)/(-28))/(115/(-2760))? -6 Calculate -19*(-565)/(-4294)*(-18)/(-1). -45 Evaluate (-16)/(-52)*39/(-6)*8*1. -16 (1/(-45)*(-1612)/(-10478))/(1/5) -2/117 What is (237/79)/((1/3)/(-1)*-1)? 9 Evaluate ((-15)/(-10))/(31/(-558)). -27 Calculate 164/4346*-1166*-2*(2*-1)/(-2). 88 Evaluate (-14)/(((-426790)/603)/(-130)). -18/7 ((-8)/50)/(72/2*(-165)/5940) 4/25 2*7*(-1376)/(-7224) 8/3 ((-2248)/23042)/(4/(-82)) 2 What is (((-420)/75)/(-14))/(33/(-33))? -2/5 Evaluate ((-126)/192*-8)/(96/128). 7 What is the value of (39/3)/((-294)/(-462)*77/(-21))? -39/7 Evaluate (((-67)/(196980/60))/(3/7))/((-22)/6). 1/77 Calculate (9657/174)/111*(-11)/((-66)/(-180)). -15 Evaluate ((-536)/120*-9)/(351/90)*13. 134 2/(-9)*105/36*2025/1875 -7/10 What is 6/(((-6)/(-13))/(3380/(-4394)))? -10 What is the value of (3010/(-28595))/((-4)/(-1634))? -43 What is the value of (9/(-5))/(2811/(-4685))*2/(-20)*4? -6/5 What is the value of ((-264)/(-704)*104/18)/((735/(-900))/(-49))? 130 What is the value of (32/2)/((-668)/5010)? -120 What is the value of (((-1)/3)/(1/(-3)))/(24925/(-672975))? -27 What is the value of (820/(-41))/(-4)*(-2)/(-15)? 2/3 Evaluate -6*(-1430)/7260*12/(-117). -4/33 Calculate (-240)/(-200)*(55/66)/(2/(-44)). -22 What is (((-52)/117)/(1/(-9)))/(12/(-12))? -4 Calculate ((-6435)/165)/(5/(-25)*3). 65 What is the value of ((-1684)/(-4210))/(1/1)*10*1/134? 2/67 What is 8289/(-69075)*(-2)/3? 2/25 (180/(-54))/((-2)/(-42)) -70 What is the value of 10065/2684*5/(725/8)? 6/29 What is the value of (-1*28)/((33/132)/((-2)/(-16)))? -14 What is (((-307998)/852)/241)/(4/((-1016)/3))? 127 Evaluate (173/((-144109)/(-238)))/(216/(-14)). -1/54 Calculate (6/(-114)*-1)/1. 1/19 Evaluate ((-2)/2)/(37*(-86)/(-95460)). -30 What is the value of (118/354)/((-4)/(-42)*(-4396)/(-1413))? 9/8 What is ((-18)/5805*-129)/((-8)/5
{ "pile_set_name": "DM Mathematics" }
ivide 5517771? True Is 487405620 a multiple of 15? True Is 94 a factor of 828111435? False Is 97 a factor of 179248056? False Is 32021710 a multiple of 170? True Is 35640334 a multiple of 314? False Is 262200827 a multiple of 92? False Is 169614882 a multiple of 1899? True Is 220517928 a multiple of 4366? True Is 179 a factor of 742531917? True Is 562 a factor of 266160304? False Does 78 divide 105752012? False Does 180 divide 30238835? False Is 33244761 a multiple of 11? True Is 127078220 a multiple of 9? False Is 134 a factor of 1547201612? False Is 167108300 a multiple of 25? True Is 71 a factor of 140637709? False Does 1582 divide 4372132268? True Is 51108069 a multiple of 17? True Is 12102156 a multiple of 44? True Is 62 a factor of 229117652? True Is 5799159 a multiple of 153? True Is 23 a factor of 140785484? True Is 4104 a factor of 1004396544? True Does 294 divide 726000366? True Is 110925070 a multiple of 695? False Does 4 divide 393709? False Is 6231672 a multiple of 164? True Does 112 divide 961975728? True Is 410536658 even? True Is 36442332 a multiple of 1283? True Is 1337 a factor of 222793519? False Does 720 divide 1535996516? False Is 757323225 a multiple of 127? True Is 97900453 a multiple of 2191? True Is 1425 a factor of 652128144? False Does 1368 divide 41958142? False Is 3 a factor of 125976972? True Is 2018 a factor of 252835347? False Is 1907248554 a multiple of 3298? False Does 6 divide 180885396? True Is 50080793 a multiple of 1003? True Is 1035 a factor of 636469232? False Is 3365984505 a multiple of 2587? True Does 602 divide 284843668? False Is 18782140 a multiple of 1222? True Does 8 divide 72876704? True Does 28 divide 25654692? True Does 84 divide 4847521812? True Is 54 a factor of 232142544? True Does 6 divide 124701558? True Does 170 divide 240937770? True Is 16 a factor of 69842896? True Is 14548548 a multiple of 479? False Is 156 a factor of 45447394? False Is 100028815 a multiple of 16? False Is 115388994 a multiple of 281? False Is 17 a factor of 36434951? False Does 433 divide 49806801? False Is 43 a factor of 623103368? True Is 354872014 a multiple of 2989? True Is 13 a factor of 24095526? True Is 11 a factor of 33660561? True Does 131 divide 221438994? True Is 9 a factor of 167347179? True Is 6 a factor of 1179990840? True Is 23730064 a multiple of 2190? False Does 279 divide 581282550? True Is 9 a factor of 735902796? False Does 15 divide 1791128850? True Is 25 a factor of 4215643343? False Is 11414323 a multiple of 95? False Is 781007918 a multiple of 93? False Is 331 a factor of 4653860? True Is 3 a factor of 103765193? False Does 41 divide 73464824? False Is 480240941 a multiple of 13? False Does 4946 divide 1886655054? False Is 94 a factor of 32701284? True Is 3038 a factor of 24844764? True Does 13 divide 68308708? True Does 32 divide 33627590? False Is 2927790684 a multiple of 364? True Is 604 a factor of 33860898? False Is 75 a factor of 1713413925? True Is 45 a factor of 39326241? False Is 173014912 a multiple of 128? True Is 4 a factor of 108128088? True Does 661 divide 1970106534? True Is 5984292 a multiple of 12? True Is 495487184 a multiple of 16? True Is 4 a factor of 39953437? False Is 28 a factor of 283791620? True Is 495742014 a multiple of 5? False Is 1442 a factor of 2006267764? False Does 17 divide 96921528? False Does 15 divide 7916025? True Is 169074008 a multiple of 466? False Is 279235235 a multiple of 58? False Is 5451159 a multiple of 2? False Is 1203 a factor of 3127800? True Is 17494500 a multiple of 169? False Does 16 divide 63742608? True Is 871085756 a multiple of 2876? True Is 28 a factor of 11958809? False Is 42 a factor of 183364356? True Does 861 divide 5414029992? True Is 99740253 a multiple of 3060? False Does 5 divide 42792791? False Is 57809780 a multiple of 2954? True Is 226273888 a multiple of 16? True Does 89 divide 107800349? False Does 72 divide 95470344? True Does 589 divide 192674689? False Is 819283321 a multiple of 1045? False Is 268555372 a multiple of 230? False Is 84 a factor of 11487243? False Does 615 divide 823398285? True Does 1190 divide 214956243? False Does 1149 divide 15490818? True Is 191 a factor of 328618826? False Does 50 divide 52987100? True Is 4347 a factor of 1204123926? False Does 362 divide 220902302? False Is 1273 a factor of 127553327? True Is 3203402098 a multiple of 26? True Is 9080592 a multiple of 48? True Does 72 divide 95999393? False Does 71 divide 5898323? False Is 19 a factor of 407035955? True Is 61939344 a multiple of 176? False Does 36 divide 679458060? True Is 352256049 a multiple of 2901? False Does 272 divide 1770806768? True Is 163223268 a multiple of 586? True Does 2071 divide 70958823? False Is 6535 a factor of 2269465570? False Does 88 divide 185875823? False Is 47 a factor of 1253602612? True Is 21796349 a multiple of 38? False Does 119 divide 37814056? False Does 301 divide 190299424? True Does 4345 divide 41824831? False Is 12 a factor of 67351540? False Is 164063625 a multiple of 5? True Is 160463597 a multiple of 491? False Does 4 divide 679919792? True Is 4763238 a multiple of 6? True Is 231638312 a multiple of 670? False Does 1102 divide 5792757? False Is 191522850 a multiple of 1139? True Does 6 divide 8708400? True Is 50400656 a multiple of 1096? True Is 2256 a factor of 780422592? True Does 4385 divide 50532063? False Is 10814586 a multiple of 502? True Does 1893 divide 1450098576? True Is 160392192 a multiple of 256? True Is 20 a factor of 45147625? False Is 130451700 a multiple of 12? True Is 357044742 a multiple of 18? True Is 38 a factor of 122626076? True Is 17 a factor of 617718134? False Does 5 divide 14535805? True Does 52 divide 17070404? True Is 3 a factor of 5218947? True Is 478748004 a multiple of 297? False Is 1588875912 a multiple of 486? True Is 521646502 a multiple of 1586? True Does 162 divide 6795451? False Is 172292572 a multiple of 74? True Does 53 divide 25266075? False Does 17 divide 1444759076? True Is 133322905 a multiple of 19? True Is 25 a factor of 680693600? True Does 654 divide 9022584? True Is 28 a factor of 1950841004? True Does 79 divide 471797432? False Is 94141000 a multiple of 10? True Is 194 a factor of 39972342? True Is 287255213 a multiple of 11? False Is 1842431054 a multiple of 23? True Does 28 divide 11030796? True Does 841 divide 241706709? False Is 681840808 a multiple of 638? True Is 2 a factor of 1412762? True Is 109 a factor of 517353855? False Is 108 a factor of 688301887? False Is 2823120 a multiple of 30? True Is 309 a factor of 10388889? True Is 1576 a factor of 107548976? False Is 6974376 a multiple of 424? True Is 14 a factor of 30890123? False Is 19165509 a multiple of 11? True Does 529 divide 632926677? False Does 1485 divide 75564166? False Does 401 divide 258813998? False Does 3924 divide 460886626? False Does 125 divide 532055250? True Does 28 divide 7051744? True Is 1896711784 a multiple of 1672? True Does 2 divide 67283536? True Is 235 a factor of 14527230? True Does 112 divide 50772960? True Is 73 a factor of 11131040? True Is 19871717 a multiple of 608? False Is 15 a factor of 121236392? False Does 1005 divide 167987760? True Does 3631 divide 1854161866? False Is 16 a factor of 25783936? True Is 15 a factor of 140768475? True Is 40375672 a multiple of 92? True Is 29 a factor of 4690663? True Is 33151144 a multiple of 26? True Is 9 a factor of 4569824? False Is 54922217 a multiple of 7? True Does 3 divide 1004050323? True Is 13 a factor of 140168762? False Is 11 a factor of 88468556? True Is 66871750 a multiple of 2? True Is 4 a factor of 325681765? False Is 46233460 a multiple of 19? True Is 3722 a factor of 4476859881? False Is 6785793 a multiple of 187? False Is 6269 a factor of 770522790? True Is 530 a factor of 269801800? True Does 64 divide 120684757? False Is 238 a factor of 130065096? True Is 1405962374 a multiple of 6545? False Does 162 divide 210739644? True Is 2405918066 a multiple of 562? True Is 12482385 a multiple of 57? False Is 349176278 a multiple of 8074? True Does 40 divide 62876903? False Is 231 a factor of 11124960? True Is 191182320 a multiple of 60? True Is 200 a factor of 88878468? False Does 2396 divide 107465392? Tr
{ "pile_set_name": "DM Mathematics" }
18*y - 20*y + 36*y. Give p(r(x)). -28*x Let r(b) = -11*b. Let z(y) = 41435*y. What is r(z(p))? -455785*p Let v(j) = -8*j + 11. Let u(n) = -3*n + 4. Let k(g) = 11*u(g) - 4*v(g). Let t be ((-7)/2)/(4/(-8)). Let p(d) = -2*d - t*d + 6*d. Determine p(k(l)). 3*l Let j(a) be the third derivative of -a**5/120 + a**3/2 - a**2. Let p(x) be the first derivative of j(x). Let o(i) = -5*i + 9*i - 6*i. Calculate o(p(y)). 2*y Let d(y) = -717*y. Let c(q) = 83*q**2 - 148*q**2 + 63*q**2. Determine c(d(f)). -1028178*f**2 Let v(q) = 23*q. Let w(g) = -5*g**2 - 4*g. Let r(s) = 4*s**2 + 3*s. Let p(y) = -4*r(y) - 3*w(y). What is v(p(j))? -23*j**2 Let b(l) = 8 + 6 + 6*l + 45 - 97. Let r(p) = -2*p. Give r(b(m)). -12*m + 76 Let b(s) = -5*s**2 + 40*s. Let a(x) = 8*x + 4. What is b(a(y))? -320*y**2 + 80 Let w(o) = -2*o**2. Suppose 12 = 5*j + j. Let y(d) = 3*d**2 - 3*d**2 - 2*d**j - d**2. Calculate y(w(i)). -12*i**4 Let g(t) be the first derivative of 9*t**2/2 - 41. Let o(q) = -7*q. Determine o(g(h)). -63*h Let q(i) = 5*i**2 - 31*i**2 + 0*i**2. Let s(u) = -5*u**2. Determine s(q(m)). -3380*m**4 Let a(m) = 19*m**2. Let o(p) be the second derivative of p**7/2520 + 13*p**4/12 - 9*p. Let t(u) be the third derivative of o(u). Give a(t(f)). 19*f**4 Let m(g) = g**2 + 5*g - 20. Let b be m(11). Let l(h) = 77*h + 76*h - b*h. Let o(q) = -3*q. Determine o(l(u)). 9*u Let p(u) = -2*u. Let l(w) = 16*w + 20*w - 1 + 49*w. Give l(p(m)). -170*m - 1 Let i(j) = 171*j. Let u(d) = 139*d + 1. Calculate i(u(b)). 23769*b + 171 Let o(h) = -h + 0*h + 2*h + h. Let p(w) = 15*w + 7*w - 11*w. Determine o(p(v)). 22*v Let x(y) = 5*y**2 + 27. Let d(p) be the second derivative of p**4/12 - 2*p + 57. What is x(d(n))? 5*n**4 + 27 Let a = 1252 + -1249. Let k(w) be the third derivative of 0 + 0*w + 0*w**a + 7*w**2 + 1/4*w**4. Let n(i) = 4*i. Determine k(n(b)). 24*b Let v(l) = -40868*l. Let b(a) = 18*a**2. Determine b(v(c)). 30063481632*c**2 Let f(g) = 2*g**2. Let p(d) be the second derivative of 0*d**2 - 5/3*d**3 - 15*d + 0. What is f(p(j))? 200*j**2 Let l(g) = -14*g**2. Let u(t) = -148507*t. Determine l(u(a)). -308760606686*a**2 Let x(m) = 2*m - 7*m - 4*m. Let n(c) = -10*c**2 - 6*c - 6. Let b(q) = -8*q**2 - 5*q - 5. Let v(g) = 6*b(g) - 5*n(g). What is x(v(a))? -18*a**2 Let q(r) = 9282*r. Let j(g) = -3*g. Determine q(j(m)). -27846*m Let q(y) = -13*y**2. Let n(a) = 12*a**2 + 2*a - 18*a**2 - 3*a**2. Give n(q(g)). -1521*g**4 - 26*g**2 Let v(d) = 2*d**2. Let f(p) = 115*p + 6. Let z(k) = 229*k + 11. Let i(x) = 11*f(x) - 6*z(x). Give v(i(h)). 23762*h**2 Let h(y) = -28*y**2. Let i(t) = -2*t. Let c(z) be the first derivative of 3*z**2 + 6. Let m(d) = 5*c(d) + 16*i(d). Determine m(h(u)). 56*u**2 Let v(r) = -2*r**2. Let i(q) be the second derivative of q**5/30 + q**2/2 - 8*q. Let k(a) be the first derivative of i(a). Determine v(k(g)). -8*g**4 Let x(u) be the third derivative of -u**4/12 + 2*u**2. Let f(j) = 2*j**2 - 9*j - 3. Let d(r) = 25*r**2 - 120*r - 40. Let l(y) = 3*d(y) - 40*f(y). Give l(x(k)). -20*k**2 Let n(k) = -13*k**2. Let c(x) = -9*x + 8. Let v(o) = -55*o + 50. Let d(r) = 25*c(r) - 4*v(r). Give d(n(l)). 65*l**2 Let g(v) = -5*v + 15982. Let h(b) = 5*b. Calculate h(g(t)). -25*t + 79910 Let o(u) = -16*u. Let c(v) = -4703*v. Give c(o(d)). 75248*d Let y(x) = -3*x + 10. Let s(a) = -5375*a**2. What is y(s(u))? 16125*u**2 + 10 Let x(v) = -24*v**2. Let d be 142/10 - (-3)/(-15). Let f(h) = d*h - 14*h - h**2. Calculate f(x(b)). -576*b**4 Let i(z) = -3*z. Let c(k) = 74115*k. Give c(i(o)). -222345*o Let r(q) = -1575 + 0*q**2 + 1576 - 4*q**2. Let a(f) = 2*f**2. Give a(r(z)). 32*z**4 - 16*z**2 + 2 Suppose w - 4 = -w. Let a(s) = -3*s + w*s - s. Let p(z) be the first derivative of -2*z**3/3 + 98. What is a(p(r))? 4*r**2 Let i(q) = q**3 - 3*q**2 - 6*q + 12. Let w be i(6). Let j(v) = v + w*v**2 - 81*v**2 - v. Let m(u) = -15*u. Calculate j(m(t)). 675*t**2 Let j(d) = d**2. Suppose -2*i + 12 = 2*i. Let x(z) = -52*z**2 - 10. Let w(c) = -17*c**2 - 3. Let u(l) = i*x(l) - 10*w(l). Calculate j(u(r)). 196*r**4 Let u(z) be the third derivative of -z**4/12 - 4*z**2. Let a(w) = -23*w - 1 + 1 + 9*w. What is a(u(f))? 28*f Let b(y) = -10*y**2. Let c(r) = -26*r**2 + 14*r**2 + 5*r**2 + 5*r**2. What is c(b(g))? -200*g**4 Let w(h) = h**2. Let d(m) be the second derivative of -8*m**3/3 + 2*m**2 + 81*m. Give w(d(j)). 256*j**2 - 128*j + 16 Let u(i) be the first derivative of 5*i**2/2 - 2*i + 253. Let z(v) = 5*v**2. Give z(u(p)). 125*p**2 - 100*p + 20 Let v(m) = 3*m**2. Let b(r) = 4*r - 1. Let a(c) = 122*c - 5. Let l(t) = -a(t) + 6*b(t). What is v(l(k))? 28812*k**2 + 588*k + 3 Let m(h) = -5*h**2 - h**2 + 0*h**2. Let i(r) be the first derivative of r**2/2 + 609. Give i(m(o)). -6*o**2 Let l(j) be the third derivative of -j**5/30 - 123*j**2 - j. Let k(w) = -22*w. What is l(k(u))? -968*u**2 Let x(b) = -5*b. Let a(j) = 6*j. Let f(g) = -5*a(g) - 5*x(g). Suppose -13 = 4*s - 5, 4*s = -4*l. Let i(z) = -l*z**2 + 18*z**2 - 13*z**2. Calculate f(i(o)). -15*o**2 Let d(m) = -177*m. Let g(w) be the first derivative of -2*w**3/3 + 203. What is d(g(o))? 354*o**2 Let o(c) be the second derivative of c**4/12 - c. Let v(f) = -3. Let g(z) = z + 4. Let a(l) = -3*g(l) - 4*v(l). Give o(a(x)). 9*x**2 Let s(m) = -2*m. Let w(d) = 0 + 0 - 26*d + 3 - 10 + 4. Calculate w(s(n)). 52*n - 3 Let r(u) be the second derivative of u**4/6 - 122*u. Let c(t) = 4*t + 31. Calculate r(c(i)). 32*i**2 + 496*i + 1922 Let d(n) = -2*n**2. Let p(l) = 35*l - 13*l + 72*l. What is d(p(v))? -17672*v**2 Let k(d) = 33*d**2 - d. Let m(z) be the second derivative of -z**4/12 + 75*z. Calculate m(k(o)). -1089*o**4 + 66*o**3 - o**2 Let x be (4 + -1 + -3)/1. Suppose 0 = 5*c - x*c - 30. Let h(g) = c*g - 7*g + 6*g. Let b(f) = 3*f**2. Give b(h(t)). 75*t**2 Let g(z) = 2*z**2 + z + 2. Let v(m) = m**2 + m + 2. Let o(l) = 3*g(l) - 3*v(l). Let t(y) = -2*y - 105. What is o(t(q))? 12*q**2 + 1260*q + 33075 Let i(x) = 611*x + 858. Let c(b) = 17*b + 24. Let w(v) = 143*c(v) - 4*i(v). Let j(l) = -4*l**2. Determine w(j(q)). 52*q**2 Let w(a) = 8*a. Let g(n) be the third derivative of n**5/30 + 16*n**2. Determine w(g(o)). 16*o**2 Let y(u) = -8*u**2 + 4*u. Let z(o) = 1273 - 1273 + 4*o**2. Calculate y(z(w)). -128*w**4 + 16*w**2 Let g(p) = -58*p. Let c(w) be the second derivative of w**3/3 + 119*w. What is g(c(d))? -116*d Let q(n) = -12*n - 7. Let s(z) = -608*z. Calculate q(s(r)). 7296*r - 7 Let f(v) be the second derivative of -v**7/1260 - 7*v**4/6 - 11*v. Let r(u) be the third derivative of f(u). Let s(k) = -2*k + 0*k - 7*k. What is s(r(o))? 18*o**2 Let a(q) = 12*q**2. Let z(k) = 7*k**2 - 3*k. Let m(r) = r**2 - r. Let y(d) = 3*m(d) - z(d). Give a(y(b)). 192*b**4 Let p(f) be the second derivative of -f**4/12 + 3*f. Let m(k) be the third derivative of 0*k - 1/12*k**4 + 0 - 2*k**2 + 0*k**3. What is p(m(g))? -4*g**2 Let m(f) = -2*f**2 + 0*f**2 - 12*f**2 - f**2. Let s(a) = 6*a - 4. Let y(r) = -r + 1. Let b(v) = s(v) + 4*y(v). Give m(b(l)). -60*l**2 Let q(u) = 2*u. Let z(y) = 925*y - 16 - 466*y - 444*y. What is q(z(k))? 30*k - 32 Let n(x) be the first derivative of 13*x**2/2 - 7*x - 92. Let l(j) = -3*j. Determine l(n(w)). -39*w + 21 Let i(b) = 2*b. Let w(m) be the second derivative of m**5/15 - 8*m**3/3 - 9*m. Let o(z) be the second derivative of w(z). Give i(o(y)). 16*y Let q(f) = -4*f. Let j be 1/(-4) + 350/200. Let b(s) be the first derivative of 1 - j*s**2 + 0*s. Determine b(q(l)). 12*l Let k(w) = -20*w. Let g(t) = -34344*t - 2. What is g(k(q))? 686880*q - 2 Let a(i) be the third derivative of i**5/15 - i**3/2 + 85*i**2. Let n(z) = z**2. Calculate a(n(g)). 4*g**4 - 3 Suppose -2*m - 3*m + 20 = 0. Let u(w) = -3*w**2 - m*w**2 + 6*w**2. Let g(c) be the second derivative of -c**4/12 + 771*c. Give g(u(k)). -k**4 Let s(l) = -5*l**2 - 4*l. Let f(j) = -11*j**2 - 9*j. Let k(g) = -4*f(g) + 9*s(g). Let z(o) = -42*o**2. What is k(z(c))? -1764*c**4 Let c(r) = -32*r**2. Let j(l) = -146*l**2 + 6. Give j(c(h)). -149504*h**4 + 6 Let x(r) = -2722*r**2 + 1362*r**2 + 1382*r**2. Let b(y) = 5*y. Determine b(x(s)). 110*s**2 Let d(n) = -5664*n**2. Let o(x) = -x. Calculate d(o(j)). -5664*j**2 Let s(p) = -2*p**2 - p - 1. Let z(o) = 20*o + 7. Determine s(z(t)). -800*t**2 - 580*t - 106 Let a(s) be the first derivative of s**2 - 2. Let c(k) be the third deriva
{ "pile_set_name": "DM Mathematics" }
of 1 and l. 1 Let g = -128 - -133. Suppose 20 = 2*k + 2*k. Calculate the highest common factor of g and k. 5 Let t(y) = y**3 - 4*y**2 - 12*y + 14. Let g be t(6). Calculate the highest common factor of g and 63. 7 Suppose -m - 4 + 76 = 0. Suppose 3*r = -r + 32. Calculate the highest common factor of r and m. 8 Suppose 949 = 9*l - 572. What is the greatest common divisor of 13 and l? 13 Let m(b) = -b + 15. Let u be m(11). Let q(v) = 4*v**2 - 6*v - 5. Let g be q(u). What is the highest common divisor of 14 and g? 7 Let a(i) = i**2 + 4*i + 4. Let l(n) = -n**2 + n - 1. Let v(p) = a(p) + 2*l(p). Let t be v(5). Calculate the greatest common divisor of 49 and t. 7 Let v be ((-7)/(-4))/((-1)/(-12)). Let n be 2*1 + 5/5. Calculate the greatest common divisor of n and v. 3 Let z = 105 + -96. Calculate the greatest common divisor of z and 1. 1 Suppose 28 = -3*n - n. Let c be 4/4 - n*1. Calculate the greatest common divisor of 20 and c. 4 Let w(c) = 9*c - 3. Let y be w(7). Calculate the highest common factor of 40 and y. 20 Let u = 8 - 2. Suppose -2*v + u = -0*v. Let r be 4/18 + (-935)/(-45). What is the greatest common divisor of r and v? 3 Suppose -v - 96 = -3*v. Let b be 2 + -5 + (2 - 0). Let p be 79/5 - b/5. What is the highest common factor of v and p? 16 Let d = 11 - 56. Let s = 69 + 6. Let h = s + d. Calculate the greatest common divisor of 12 and h. 6 Suppose -9*q + 209 = -250. Calculate the greatest common divisor of 17 and q. 17 Let p be -4*(-30)/8 - 4. Calculate the greatest common divisor of p and 44. 11 Let i = 1 + -3. Let g be 4/i + 1 + -1. Let b be -2 - (-11 - (-3 - g)). What is the highest common divisor of 12 and b? 4 Suppose -4*y + 30 = -d, 2*y - 90 = -0*d + 3*d. Let o be (2 - -2) + d/(-3). Calculate the highest common divisor of 21 and o. 7 Suppose -2*y - 9 = z, -5*y + z - 24 = 4*z. Let g be 1/(((-3)/5)/y). Let i be g*(0 + (-12)/(-10)). Calculate the greatest common divisor of i and 4. 2 Let z = -15 - -33. Let m = 38 + 34. Calculate the greatest common factor of m and z. 18 Let n = -8 - -31. Calculate the highest common divisor of n and 253. 23 Let b = -37 + 50. What is the highest common factor of 13 and b? 13 Let m be 2/(-7) - 76/28. Let h(f) = f**3 + 4*f**2 - 2*f. Let g be h(m). What is the highest common divisor of g and 6? 3 Let v be (-6)/21 - (-23)/7. Suppose 13 + 8 = v*m. Let j be m/((-7)/2) - -24. Calculate the highest common divisor of j and 44. 22 Let s be (18/(-3))/((-3)/40). Suppose 26 - s = -w. Suppose 5*o = 17 + 13. Calculate the greatest common divisor of w and o. 6 Suppose 9 = -4*n + w - 6*w, 0 = 5*n - w + 33. Let o be 39/33 - n/(-33). Suppose o = -5*h + 16. Calculate the highest common divisor of h and 3. 3 Suppose -5352 = -13*i + 108. What is the greatest common divisor of 60 and i? 60 Suppose -248 = -5*r + 4*d, 4*r - 2*d = 106 + 90. What is the greatest common divisor of 120 and r? 24 Suppose -o + 3*o = 4. Let s be 2/4 - (-3)/o. Suppose -3*d - s*d + 327 = 4*b, b = 3*d + 103. What is the highest common factor of b and 22? 22 Let u = -448 - -756. Suppose 4*w = 0, -2*i - w = -0*w - u. Calculate the highest common factor of i and 22. 22 Let q(j) = j**3 - 5*j**2 + 10*j - 6. Let k be q(4). Calculate the greatest common factor of 9 and k. 9 Let i(w) = w**3 + 8*w**2 + 6*w + 9. Let k be i(-5). Calculate the greatest common divisor of 90 and k. 18 Let z = -19 - -47. What is the greatest common factor of 35 and z? 7 Let t be (1/(-4))/(1/(-52)). Let z = 9 + t. Calculate the greatest common factor of z and 2. 2 Let o be (4/6)/(8/84). Suppose 2*g = 6*g. Suppose g*m + 28 = m. What is the highest common factor of m and o? 7 Suppose -3*w - 53 = 2*w + 4*z, -24 = 2*w + 3*z. Let q be 191/3 + 6/w. Suppose 0 = -3*t + t + 14. Calculate the highest common divisor of t and q. 7 Suppose -u = -7*u + 60. What is the highest common divisor of 2 and u? 2 Suppose -2*j + 4*u + 325 = -113, 5*j + 2*u - 1035 = 0. What is the greatest common divisor of 11 and j? 11 Suppose 4*b - 2*x - 62 = 0, -4*b + 50 = -x - 15. Suppose d - 5 = 2*a - 4*a, 47 = 5*d - a. Let q = b - d. What is the greatest common factor of q and 32? 8 Let b = 126 - 54. Suppose -x + s = -6, -4*x + 3*s - s + 14 = 0. Let q be 40/15*3*x. What is the highest common factor of q and b? 8 Let a be (-20)/(-40)*(-1 - 13)*-9. What is the greatest common divisor of 21 and a? 21 Let w = -7 - -11. Suppose w*o - 4*v - 8 = v, -5*v = 3*o - 6. Calculate the greatest common divisor of o and 10. 2 Suppose 5*h = 5*m + 65, -h - 5*m = -0*m + 11. Calculate the greatest common divisor of 36 and h. 9 Let u(m) = 4*m**3 + 2*m**2 - 3*m + 1. Let d be u(2). Let s(o) = 4*o - 22. Let p be s(9). What is the greatest common factor of p and d? 7 Let h = -1 - -3. Let c be (3/h)/((-21)/28). Let n be c - -2 - -1 - 0. What is the highest common factor of n and 9? 1 Let u = 49 + -37. What is the greatest common divisor of 24 and u? 12 Let p = 56 - -120. What is the greatest common divisor of 22 and p? 22 Suppose -2*o = -h - 8 - 3, -4*h = 3*o. Let m(r) = r + 2 - 2*r**2 - 2*r**2 + 2*r**2 + r**3. Let i be m(2). What is the highest common factor of i and o? 4 Suppose j - 20 = -2*i + 31, 5*j - 21 = -i. Calculate the highest common divisor of i and 39. 13 Let v(c) be the first derivative of -c**3/3 + 11*c**2/2 - 4*c + 3. Let i be v(9). What is the highest common factor of 42 and i? 14 Suppose 0 = -2*g - g + 759. Let d be 2 - (-132)/(0 - -3). Suppose 6*o = 4*o + d. Calculate the highest common factor of o and g. 23 Suppose 2*m + 3*s = 45, 0 = 4*m - 0*m + 4*s - 88. Calculate the greatest common divisor of m and 7. 7 Let o(z) = 5*z**2 + 4*z + 2. Let h be 8/6*(-6)/4. Let m be o(h). Calculate the highest common factor of m and 42. 14 Let i = 12 - 8. Suppose -k = 2*v - 4 - 4, 5*k - 3*v - 1 = 0. Suppose 180 = k*q + 3*q. What is the greatest common divisor of i and q? 4 Let x = 9 - 3. Suppose 447 = 5*n + 3*m, 0 = -n + 6*n - 3*m - 453. Let l = -42 + n. What is the highest common divisor of l and x? 6 Let g(h) = h**2 + 3*h. Let w be g(3). Let q(d) = d**2 - 8*d + 9. Let o be q(8). Calculate the greatest common factor of w and o. 9 Let y = 124 - 82. Calculate the highest common divisor of y and 6. 6 Suppose 20 = 3*h - 7. Let k(u) = -u**3 - 8*u**2 - 9*u. Let p be k(-8). What is the greatest common divisor of p and h? 9 Let w = 515 - 230. Calculate the highest common factor of w and 114. 57 Let r = 29 + -1. Suppose -5*f + 667 = 247. Calculate the greatest common divisor of f and r. 28 Let c be (-28)/(-2)*(-75)/(-70)*4. Calculate the highest common factor of c and 540. 60 Let r = -37 - -25. Let l be (-333)/(-5) - r/(-20). What is the greatest common divisor of 6 and l? 6 Suppose 166 + 42 = 2*i - 2*m, 5*i - 500 = m. Calculate the greatest common factor of i and 9. 9 Suppose 2*s - 250 = -2*s + 2*j, -2*j - 10 = 0. Suppose -4*g = -31 - 17. What is the greatest common divisor of g and s? 12 Suppose -39 = 4*l + l - 3*u, 3*l + 15 = -u. Let h = l - -6. Let x be -96*(h - (-9)/(-12)). What is the highest common divisor of 9 and x? 9 Let o be (-84)/(-10)*(0 - 80/(-12)). What is the highest common divisor of 14 and o? 14 Let g(x) = -x**2 - 2*x + 5. Let q(t) = 2*t**2 + 4*t - 11. Let j(f) = 5*g(f) + 3*q(f). Let k be j(6). Calculate the highest common divisor of k and 16. 8 Let t(g) = g**3 + g**2 - g - 4. Let f be t(4). Calculate the greatest common divisor of 8 and f. 8 Let t be (2 - 2)/(0 - -2). Suppose -2*d = -4*o - 20, t = 3*d + 3*o - 6*o - 39. Suppose 10*l = 6*l + 8. Calculate the highest common factor of l and d. 2 Let v(u) = 5*u**3 - u**2 + 2*u + 1. Let i be v(3). Let p = -3 - -3. Let q(g) = g**2 + 19. Let d be q(p). Calculate the greatest common factor of d and i. 19 Suppose 3*k + 7 = -3*v + 19, -3*k + 14 = 4*v. Suppose j + k = 0, 0*y - 5*j = y + 4. Suppose -3*h - 6 = -y*h. What is the highest common divisor of 2 and h? 2 Let s(m) be the second derivative of -13*m**3/6 - 2*m**2 + 3*m. Let i be s(-3). What is the highest common factor of 5 and i? 5 Suppose -30 = b - 6*b. Suppose 145 = 5*s + 5*n, -3*s + 6*n - 4*n = -92. What is the greatest common factor of b and s? 6 Let m(i) be the second derivative of -4*i + 0*i**2 + 1/3*i**3 - 1/3*i**4 + 0 + 3/20*i**5. Let t be m(2). Calculate the highest common divisor of t and 12. 12 Let d be -3 + (30 + 4)/2. Calc
{ "pile_set_name": "DM Mathematics" }
d) 0.5 (e) 150 (f) -1/58 (g) -3 f What is the fifth smallest value in 141.1, -0.5, 1, -1.05, -15? 141.1 Which is the fourth biggest value? (a) -46.6 (b) 0.14 (c) 2 (d) -1.84 (e) -4 e What is the second biggest value in -2/11, 0.2, 9/10, -1334, -1/2, -0.03, 0.5? 0.5 Which is the seventh smallest value? (a) -0.045 (b) 0.5 (c) -14 (d) 0.2 (e) 2 (f) -3 (g) -5 e What is the third smallest value in 3/10, 111346, 1, 9.5? 9.5 What is the fourth smallest value in 0.16, -2, 19052, -20? 19052 Which is the second biggest value? (a) -0.22 (b) -2/119 (c) -33 (d) -2/7 a What is the fifth biggest value in 22, 19, 2, -2/23, -24/7? -24/7 Which is the second smallest value? (a) -262/451 (b) 3/8 (c) -3/28 c What is the second biggest value in -19/2955, -2/11, 0.047? -19/2955 Which is the second biggest value? (a) -1111524 (b) 0.02 (c) 2/11 b What is the fourth smallest value in -15, -0.1751, -6, 9, 3? 3 Which is the fourth smallest value? (a) 38 (b) 0 (c) -141268 (d) -2 (e) 2 (f) -0.5 b Which is the biggest value? (a) 0.251 (b) -1 (c) 2/17 (d) 29 (e) 5/2 d Which is the biggest value? (a) 0.03 (b) -2/33 (c) -2/61 (d) 5 (e) -0.1 (f) 1592 f Which is the second smallest value? (a) -366 (b) 0 (c) 4 (d) -3/7 (e) 2 (f) -264 (g) 0.1 f What is the fourth biggest value in 0.07, -1/6, -1/3, 1549/81, -4/5? -1/3 Which is the second smallest value? (a) -36/13 (b) 8694/341 (c) 0.5 c Which is the seventh biggest value? (a) 4 (b) -2 (c) -4 (d) 3/7 (e) -16 (f) 0 (g) -55 g Which is the sixth biggest value? (a) 7/4 (b) 0.5 (c) -23 (d) 3 (e) -13.9 (f) -0.2 c Which is the biggest value? (a) 78 (b) -67 (c) 18/103 a What is the second biggest value in -15, -1, 0.02, -3/8, 208, 191? 191 What is the fourth biggest value in -2, -0.35597, -339, -0.5? -339 Which is the biggest value? (a) -132803 (b) 3 (c) -60 b Which is the fifth smallest value? (a) -24 (b) -30/47 (c) 17 (d) 4 (e) -20 c What is the second biggest value in -0.12, 516, -0.15, 4/5, -0.033? 4/5 What is the second biggest value in 1273/55, 2, 2.4? 2.4 Which is the third smallest value? (a) -4811097 (b) -2/7 (c) 5 c What is the third smallest value in 9, 67142, -52? 67142 Which is the smallest value? (a) -1/9 (b) 2 (c) 2/9 (d) -3 (e) 0.3 (f) -1/121 d Which is the second biggest value? (a) 4 (b) 2 (c) 22/5 (d) -6980/11 (e) 26 c What is the third smallest value in -5, 1.4623, 30, -1? 1.4623 What is the second biggest value in 2, 4/9, -2/9, -2/441573? 4/9 Which is the biggest value? (a) -2 (b) -5501 (c) 2/3 (d) 1628 (e) -1/2 (f) 4 d Which is the seventh smallest value? (a) 1 (b) -0.237 (c) -0.5 (d) -9 (e) -2/21 (f) 2/3 (g) -0.1 a What is the smallest value in 3, 1/4, -6321378? -6321378 Which is the second biggest value? (a) -0.5 (b) -38/135 (c) 3 (d) -0.215 (e) -3 d What is the biggest value in 101, -6581, 2/9? 101 What is the smallest value in 2/15, -1, -12, 1/9, 6595, -1/3? -12 What is the biggest value in 2, -0.02597, 6/11, -3? 2 What is the third biggest value in -3/2, 90556.9, -2/15, -0.3, -4/5, 3/4? -2/15 What is the fourth smallest value in -0.18, 0, 27, 6, -1/3, -0.4, 2? 0 Which is the biggest value? (a) 2549 (b) 9 (c) -1 (d) -5 (e) -536 a Which is the biggest value? (a) 64 (b) 4 (c) -2 (d) 1/10 (e) -96 (f) -0.2 a What is the fourth smallest value in -8, -0.3, -0.01, -12.84, 6/7? -0.01 What is the third biggest value in 2/11, -2, -4/5, 37.5, -0.4, -8, 0.2? 2/11 What is the second smallest value in -2, -1326861, 21? -2 Which is the third biggest value? (a) -5 (b) -190.6 (c) 3 (d) -23 (e) -4/3 a Which is the second smallest value? (a) -1/8 (b) 5 (c) -39487 (d) -0.4 d What is the smallest value in -2/17, -19, 25.3, -5, 2, -0.2, -2/3? -19 What is the second biggest value in -0.01, -2292, -2/5, -17/6? -2/5 Which is the fourth smallest value? (a) 2/11 (b) 0.037 (c) 14/5 (d) -65/48 c What is the fifth biggest value in -3.3, -1, 9/20, -4/7, -1/6, 15? -1 Which is the third biggest value? (a) 0 (b) 5.28 (c) -34.7 c Which is the fourth smallest value? (a) 1/8 (b) 17026 (c) 29 (d) 8 b What is the second smallest value in 0.24, -2/5, -24, 30/23, -0.28? -2/5 What is the biggest value in 80763, -3/52, 2? 80763 What is the fourth biggest value in -3/7, -0.2, 0.0427, 6, 0.4? -0.2 What is the biggest value in 2393, -0.1, 3/55, -3? 2393 What is the fifth smallest value in 1/5, 0.1873, -0.05, -4, 0.4? 0.4 What is the third biggest value in -6, -0.06, 4, 14, -4, 134? 4 Which is the second smallest value? (a) -7 (b) -687 (c) -2/195 (d) -263 d What is the fourth smallest value in 5, 0, 849, 3, 47/2? 47/2 Which is the third smallest value? (a) -0.16 (b) -0.034 (c) -0.3 (d) -0.19 a What is the third biggest value in -1442, 6/5, 2, 1.15? 1.15 What is the seventh smallest value in -0.083, 0.1, 2/51, -3/2, 21/2, 0.3, 2/7? 21/2 Which is the smallest value? (a) -184 (b) 200213 (c) -0.4 a Which is the smallest value? (a) -2 (b) 16 (c) -1/21 (d) 11721 a Which is the biggest value? (a) -0.006 (b) 3 (c) 5/1196 b Which is the third biggest value? (a) -1.6 (b) -5 (c) 53 (d) 2.237 a Which is the second smallest value? (a) 19/3 (b) 4 (c) 1 (d) 1/6 (e) -7.9 (f) 2/79 (g) -3 g Which is the second smallest value? (a) -55 (b) -0.4 (c) 34 (d) -20 (e) -2/21 (f) 4/5 (g) -0.5 d Which is the third smallest value? (a) -669343 (b) 7 (c) 1 b Which is the smallest value? (a) 4 (b) -0.4 (c) -988/947 c What is the biggest value in -5.0487, -1/4, 2/7, 1, -19/9? 1 Which is the smallest value? (a) 211305 (b) -12/13 (c) -15 c Which is the fifth smallest value? (a) -0.1 (b) 807 (c) 1 (d) 5.059 (e) -2/5 b What is the smallest value in -0.5248, -4, -24309? -24309 What is the third smallest value in -8, 0.5, -0.2, 3/40, 323/2? 3/40 Which is the fifth smallest value? (a) 0.1 (b) -1.5 (c) 3/4 (d) 1 (e) -0.3 (f) -29 (g) -5 a What is the third biggest value in -68, 1627301, 4? -68 Which is the fifth smallest value? (a) -0.14 (b) -4 (c) 2.7 (d) -120 (e) 6 e Which is the third biggest value? (a) 90 (b) -437512 (c) 4/11 b What is the sixth smallest value in 1, -106, 1329, 2, -1, 6? 1329 Which is the smallest value? (a) 52 (b) 4 (c) 5 (d) 0.4 (e) -27 (f) 28 e Which is the fifth smallest value? (a) 19 (b) -5 (c) 0.3 (d) 1/3 (e) 1693 (f) 3 a What is the smallest value in 1.1, 1/7, -27, 0.5, -2/85, 1/8, -0.05? -27 What is the smallest value in 89, -0.0435, -119, 0.1? -119 Which is the fourth biggest value? (a) -0.8 (b) -1/3 (c) -1.9241 (d) -0.3 c Which is the seventh biggest value? (a) -970 (b) -2 (c) 0.1 (d) -5/3 (e) 481 (f) 0.3 (g) -0.5 a What is the third smallest value in 2/5, -1/4, -1, -5, 1815566? -1/4 Which is the third biggest value? (a) -12/7 (b) 2148 (c) 2/9 (d) 1 c What is the fourth smallest value in 4, 18, 0.09, -2/5, -2/27, 156, 5? 4 Which is the fifth biggest value? (a) 0.4 (b) -15/11 (c) 1/5 (d) -0.0335 (e) 3 b What is the fourth smallest value in -1, 0.2, 6, -3, -0.38, 0.4, -0.1? -0.1 What is the smallest value in -0.142, 15, -1/5, -1, -5, -244? -244 Which is the second biggest value? (a) 3 (b) -521536 (c) -0.5 c What is the second biggest value in -187, -2/7, 18548? -2/7 What is the biggest value in 2/3, -1.859, 1417? 1417 Which is the biggest value? (a) 0.01 (b) -1/234 (c) 31/4 (d) -0.1178 c What is the third smallest value in 0, -83, -24, 1/14, 5, 4? 0 Which is the third smallest value? (a) 0.3 (b) 0.2 (c) 11 (d) -16 (e) -49421 b Which is the fourth biggest value? (a) 0.5 (b) 299 (c) -6/17 (d) 0.073 c Which is the smallest value? (a) 0.5 (b) 0.201 (c) -1/4523 (d) -2/5 d Which is the biggest value? (a) 4/3 (b) 1/7 (c) 101934/83 c What is the third biggest value in 2, -1, 3/5, -10, 5, 8678? 2 Which is the fourth biggest value? (a) -3 (b) -22906 (c) 2/3 (d) 1 (e) 0.2 a What is the biggest value in -19, 4, -7/83, 3, -13, 0.3? 4 What is the third biggest value in -6/23, -11, 23, 2/23, -7/6? -6/23 What is the biggest value in 0.3, -8, 29, -42, -1/25, -3? 29 What is the biggest value in 1/7, -1, -346/4735? 1/7 Which is the fourth biggest value? (a) 6 (b) 3 (c) 0.5 (d) -205 (e) -479 (f) -4 f What is the biggest valu
{ "pile_set_name": "DM Mathematics" }
) = 8*w + 21. Determine j*l(a) - 9*b(a). -2*a - 3 Let p(a) = 445*a - 3. Let c(s) = -1344*s + 8. Calculate 4*c(n) + 11*p(n). -481*n - 1 Let u(v) = 10*v**2 - 47*v - 1. Let q(k) = 10*k**2 - 46*k - 1. Calculate -3*q(d) + 2*u(d). -10*d**2 + 44*d + 1 Let w(a) = a**3 + 3*a**2 + 2*a + 3. Let b(y) be the first derivative of y**4/4 + 5*y**3/3 + 2*y**2 + 5*y + 3. Let z be 1*-20*8/32. Calculate z*w(o) + 3*b(o). -2*o**3 + 2*o Suppose t - 4119 = 2*s - 4124, -4*s + 3*t + 7 = 0. Let c(u) = 6*u**2 - 18. Let g(b) = b**2. Determine s*g(w) - c(w). -2*w**2 + 18 Let g(u) = 7*u**2 - 4*u + 4. Let s(d) = 27*d**2 - 15*d + 15. Suppose 53 = -10*q + 153. Suppose -2*y - q + 4 = 0. Let a = -18 - y. Calculate a*g(w) + 4*s(w). 3*w**2 Let a(t) = 157*t**2 + 4*t - 19. Let q(o) = 7*o**2 + o - 3. What is a(z) - 7*q(z)? 108*z**2 - 3*z + 2 Let t(g) = -874*g**2 + 13*g - 15. Let a(p) = 873*p**2 - 10*p + 12. Give 5*a(k) + 4*t(k). 869*k**2 + 2*k Let z(t) = t**3 + 2*t**2 - 2*t - 2. Suppose -5*p + 11 = -3*u + 66, -3*u - 5*p = -65. Let g(d) = -15 + 3*d**2 - 3*d - 8 + u. Calculate -4*g(c) + 6*z(c). 6*c**3 Let s(o) = 17*o**3 + 11*o**2 - 56*o + 15. Let j(c) = 7*c**3 + 5*c**2 - 27*c + 7. What is 7*j(n) - 3*s(n)? -2*n**3 + 2*n**2 - 21*n + 4 Let s(k) = 2*k - 6. Let m(x) = 12 + 280*x - 154*x - 130*x. Give 4*m(n) + 7*s(n). -2*n + 6 Let k(c) = -999*c**2 + 81*c + 81. Let l be 12*(-16)/384*4/(-1). Let x(p) = -25*p**2 + 2*p + 2. What is l*k(j) - 81*x(j)? 27*j**2 Let g(h) be the second derivative of 7*h**5/20 + h**4/2 - 7*h**3/6 + 3*h**2/2 + 1831*h. Let l(c) = 6*c**3 + 5*c**2 - 6*c + 3. What is 5*g(a) - 6*l(a)? -a**3 + a - 3 Suppose -1203*l - 266 - 124 = -1138*l. Let v(x) = x**2 - x + 1. Let q(d) = -44*d**3 + 6*d**2 - 6*d + 6. Determine l*v(o) + q(o). -44*o**3 Let o(q) = q**2 + 4*q. Suppose 0 = -2*t + 8 + 2. Suppose -a + 1 = -t. Let y(h) = -h. Suppose -1746 = 78*k - 1902. Determine a*y(c) + k*o(c). 2*c**2 + 2*c Let j(l) = -41*l**2. Let g(q) = -286*q**2. Let m = 12370 + -12367. Determine m*g(z) - 22*j(z). 44*z**2 Let x(h) = 4*h**2 + 8*h - 221. Let t(d) = 2*d**2 + 4*d - 120. What is -5*t(y) + 3*x(y)? 2*y**2 + 4*y - 63 Suppose 0*u = 2*u + 4*c + 2, -3*u + 8 = -5*c. Suppose -20 = 3*p + u. Let k(a) = 3*a**3 - 11*a + 7. Let q(l) = l**3 - 6*l + 4. Determine p*q(n) + 4*k(n). 5*n**3 - 2*n Suppose s = -0 + 4. Suppose -s*j - 5*h = -37, -4*h - 1 - 3 = -j. Let d(o) = 4 - 4 + 9*o - 4*o - j. Let f(v) = -9*v + 15. Calculate -11*d(y) - 6*f(y). -y - 2 Let b(i) = -205*i**3 + 8*i**2 - 5*i + 164. Let m(y) = 135*y**3 - 5*y**2 + 3*y - 109. What is -5*b(u) - 8*m(u)? -55*u**3 + u + 52 Let v(y) = -28*y**2 - 4*y. Let b(s) = -15*s - 16. Let p(g) = -11*g - 12. Let w(i) = -3*b(i) + 4*p(i). What is v(x) + 2*w(x)? -28*x**2 - 2*x Let i be (-155 - -167) + -14 + 1. Let f(x) = x**2. Let g(v) = 7*v**2 + 2*v. Determine i*g(c) + 2*f(c). -5*c**2 - 2*c Let o = 56 + -26. Suppose 4*x = -18 + o. Let k(f) = x*f - 3*f**2 + 0*f**2 - 1 - f**2. Let n(g) = -9*g**2 + 7*g - 3. Determine 5*k(i) - 2*n(i). -2*i**2 + i + 1 Let z(f) = -2*f**2 + 4*f + 4. Let s(q) = 2941310 - 2941310 - q. Determine -5*s(v) - z(v). 2*v**2 + v - 4 Let c(o) = -27*o**2 + 23*o + 4. Let q(l) = -50*l**2 + 37*l + 7. Determine 5*c(s) - 3*q(s). 15*s**2 + 4*s - 1 Suppose o = 2 + 2. Let l(r) = -12*r**3. Let a(b) = -b**3. Let j be 40 - (43 - 19 - -17). Calculate j*l(p) + o*a(p). 8*p**3 Let i(t) = 6*t**3 + 8*t**2 + 6*t. Let u(n) = 5*n**3 + 6*n**2 + 5*n + 1. What is 3*i(p) - 4*u(p)? -2*p**3 - 2*p - 4 Let y(m) = -m**3 - m**2 + 3*m - 2. Let f(p) = 799*p**3 + 17*p**2 - 51*p + 34. Give -f(o) - 17*y(o). -782*o**3 Let x(o) = o**2 - 8*o + 7. Let r = 0 + -1. Let j(g) = 6928522 - 3464259 - 3464262 - g. Calculate r*x(k) + 6*j(k). -k**2 + 2*k - 1 Let q(p) be the first derivative of -3*p**2/2 + 4*p + 3635. Let a(c) = 2*c - 3. Give -5*a(n) - 4*q(n). 2*n - 1 Let m(i) = 132*i**3 + 7*i**2 + 56. Let s(k) = 43*k**3 + 3*k**2 + 20. Determine -3*m(h) + 8*s(h). -52*h**3 + 3*h**2 - 8 Let q(z) = -z - 233. Let x(n) = 58. Let h(l) = 3*q(l) + 12*x(l). Let i(f) = -3*f - 4. Determine 3*h(t) - 4*i(t). 3*t + 7 Let n(z) = 14*z**2 - 8*z + 22. Let s(l) = 27 - 7 - 6 - 15 - 6 - 5*l**2 + 3*l. Give 3*n(w) + 8*s(w). 2*w**2 + 10 Let v(d) = 607*d + 18. Let r(x) = 610*x + 14. Determine 4*r(t) - 3*v(t). 619*t + 2 Let q(k) be the second derivative of k**4/4 - 5*k**3/6 + 3*k**2/2 + 46*k. Let d(c) = 1 + 180*c**2 + 2*c - 2 - 181*c**2. Calculate -10*d(p) - 4*q(p). -2*p**2 - 2 Let u(k) = 176*k + 3*k**2 - 6*k**2 - 91*k - 1 - 87*k. Let w(o) = -2*o**2 - o. Give 6*u(q) - 10*w(q). 2*q**2 - 2*q - 6 Let d(t) = -6*t - 65162*t**3 + 65163*t**3 + 2*t - 3*t - 7. Let x(c) = 36*c**3 - c**2 - c + 1. Let i be x(1). Let r(q) = -q - 1. What is i*r(k) - 5*d(k)? -5*k**3 Let x(g) = -4*g**2 - 2*g + 833. Let w(m) = -m**3 - 3*m**2 - m + 5. Determine -2*w(c) + x(c). 2*c**3 + 2*c**2 + 823 Let b(h) = -23*h**2 - 5*h - 5. Suppose -3864 = -49*s + 70*s. Let l(k) = -851*k**2 - 184*k - 184. What is s*b(x) + 5*l(x)? -23*x**2 Let n(p) = -1546*p + 22. Let x(u) = -2060*u + 30. Determine -15*n(b) + 11*x(b). 530*b Let a(y) = -2*y**3 - 3*y**2 - 4*y. Suppose 7 = -2*g - 15. Let r(n) be the first derivative of n**4/4 + 2*n**3/3 + n**2 + 23853. Calculate g*r(v) - 6*a(v). v**3 - 4*v**2 + 2*v Let u(q) = -4*q**2 + 632*q - 13. Let j(i) = -10*i**2 + 1265*i - 30. Give -3*j(x) + 7*u(x). 2*x**2 + 629*x - 1 Let a(i) = i - 1. Suppose 3*t - 2*l + 12 = -5*l, 6 = -2*l. Let y(q) = 14*q - 6. Suppose 0 = -2*j + 12, 4*f - 19*j + 24*j = 54. What is f*a(x) + t*y(x)? -8*x Let g(j) = -4*j + 3628. Let z(m) = 2*m - 1814. What is -2*g(k) - 5*z(k)? -2*k + 1814 Let n = 58 - 55. Let v(k) = -k**2 - 5*k - 3. Let z(u) = -8*u - 4. Let q(w) = w**2 - 7*w - 3. Let c(y) = 3*q(y) - 4*z(y). Give n*c(a) + 7*v(a). 2*a**2 - 2*a Let u(w) = -2*w - 15. Let k(f) = 2*f + 13. Suppose 0 = -q - 5*o + 12, 0*o = 2*q - 2*o. Let v(s) = q*u(s) + 3*k(s). Let i(r) = -r - 4. Give -7*i(h) - 3*v(h). h + 1 Let g(k) = 2*k**3 + 3*k**2 + 6*k + 3. Let f(m) = -2*m**3 - 2*m**2 - 5*m - 2. Let t = -153 - -243. Let b be t/(-63) + 12/(-21). Determine b*g(i) - 3*f(i). 2*i**3 + 3*i Let j = -2872 + 2882. Let w(g) = g**3 + 2*g**2 + 6*g - 2. Let i(k) = -2*k**3 - 5*k**2 - 13*k + 5. What is j*w(b) + 4*i(b)? 2*b**3 + 8*b Let j(f) = 551*f**3 - 29*f**2. Let o(r) = 92*r**3 - 5*r**2. Let x(u) = u**2 - 75*u + 1371. Let s be x(43). Give s*j(g) + 29*o(g). -87*g**3 Let m(n) be the second derivative of -n**3/3 + 2*n**2 + 4*n. Let y(r) = -1. Suppose 68*d + 69 = 273. Calculate d*y(s) + m(s). -2*s + 1 Let d(m) = 2*m + 2. Let f(j) = 8*j**2 + 24*j + 5. Determine 4*d(w) - f(w). -8*w**2 - 16*w + 3 Let d(l) = 21*l**3 - 5*l**2 - 5. Let r(b) be the second derivative of b**5/2 - b**4/4 - 3*b**2/2 + 1536*b. What is -3*d(z) + 5*r(z)? -13*z**3 Let v(k) = -3*k**2 - 3*k + 4. Let f(w) = 4*w**2 + 4*w - 6. Let h(n) = -2*f(n) - 3*v(n). Let x(p) = 145*p**2 + 174*p. What is 174*h(r) - x(r)? 29*r**2 Let i(c) = -6*c**2 - c - 1. Let k(n) = -4*n**2 + n - 2. What is -i(t) + 2*k(t)? -2*t**2 + 3*t - 3 Let v(a) = 4*a**2 + 22*a + 6. Let u(j) = j**2 + 17*j + 5. What is -5*u(s) + 4*v(s)? 11*s**2 + 3*s - 1 Let y(l) = 7*l - 5. Suppose 5*o - 2*o = -16*o. Suppose o = 6*t - 30*t - 240. Let w(n) = -4*n + 3. What is t*w(u) - 6*y(u)? -2*u Let j(v) = -v**2 - 49*v - 29. Let o(b) = b**2 + b + 7. Determine -j(m) - 4*o(m). -3*m**2 + 45*m + 1 Suppose 631 - 1615 = 12*c. Let h = c + 76. Let b(n) = 3*n**2. Let t(o) = 6*o**2. Give h*t(f) + 11*b(f). -3*f**2 Let f(i) = -5*i - 9. Let y(o) = -6*o + 7. Let m(g) = 10 - 1 - 2 - 9. Let p(t) = -36*m(t) - 4*y(t). Determine 14*f(l) + 3*p(l). 2*l + 6 Let a(y) = -5*y. Suppose -5*w + 5*m = -9*w - 39, 3*w + 15 = m. Let q(i) = 4*i - 1. Calculate w*q(k) - 4*a(k). -4*k + 6 Let n(u) = -9*u**2 - u + 3. Let r(y) = y**2 - 1. Suppose 279*f - 503 = -39 + 652. Calculate f*r(m) + n(m). -5*m**2 - m - 1 Let s(n) = 2*n**2 - n. Let k be s(2). Let q(b) = 17*b + 13*b + 6 - 57*b + 21*b - 1 + 7*b. Let o(v) = -4. Determine k*o(g) + 5*q(g). 5*g + 1 Let r = 6 + -12. Let g(u) = 2*u**2 - 3. Let z = 216 - 214. Let x(a) = 4*a**2 + 0*a**2 - 1 - 3*a**2 + 0*a**2. What is r*x(b) + z*g(b)? -2*b**2 Let g(u) = -4 + 277*u - 162*u - 6 + 15. Let c(v) = -23*v - 1. Calculate 11*c(l) + 2*g(l). -23*l - 1 Let i(v) = v - 3 - 4*v - 4*v**2 - v**2. Let y(t) = -t**2 - t - 1. Let d = -288 + 288. Suppose -5*l + 5*f - 4*f + 2
{ "pile_set_name": "DM Mathematics" }
Suppose 8*z - 5 = 3*z. Let a(w) be the first derivative of z + 0*w**2 + 1/6*w**6 - 1/3*w**3 + 0*w**4 + 0*w**5 + 0*w. Find the third derivative of a(l) wrt l. 60*l**2 Let q(n) be the third derivative of n**7/21 + n**4/4 + 9*n**2. What is the second derivative of q(a) wrt a? 120*a**2 Let p = 8 - 1. Differentiate 2 - p*q**2 + 2 - 5 - 6 with respect to q. -14*q Let b(l) = -l + 3. Let f be b(3). What is the third derivative of f - 2*u**4 + 0 - 3*u**2 + u**4 wrt u? -24*u Let m(b) = b**3 - b**2 + b. Let o(r) = 10*r**3 - 5*r**2 + 14*r. Let p(l) = -5*m(l) + o(l). What is the second derivative of p(s) wrt s? 30*s Let q be (-1)/1 + -2 + 5. What is the derivative of -2*v - q*v + v + 1 wrt v? -3 What is the derivative of f - f + 625 + 8*f**2 - 621 wrt f? 16*f What is the derivative of 82*t - 82*t + 20 - 19*t**2 wrt t? -38*t Find the third derivative of 15*o**5 - 6*o + 6*o - 4*o**2 wrt o. 900*o**2 Let t be 8/(-4*(-2)/4). Suppose 4*w = 5*l + t + 4, 5*l + 3*w = 6. What is the second derivative of l*h**3 + 3*h**4 + 0*h**3 + 3*h wrt h? 36*h**2 Let a(y) be the second derivative of -1/10*y**6 + 0 + 0*y**3 + y + 0*y**4 - 7/2*y**2 + 0*y**5. What is the first derivative of a(t) wrt t? -12*t**3 Let n(a) = 2*a**4 - 2*a**3 - 5*a. Let o = 10 + -11. Let u(p) = p**3. Let r(w) = o*n(w) - 2*u(w). Find the second derivative of r(l) wrt l. -24*l**2 Let j be -2*(-1 + 2) + -3. Let g(z) = -z + 9. Let d(w) = -4. Let b = 3 - 5. Let l(u) = b*g(u) + j*d(u). Differentiate l(p) with respect to p. 2 Let w(n) be the first derivative of 4*n**5/5 - 3*n - 2. Differentiate w(g) with respect to g. 16*g**3 Let c(p) be the third derivative of p**9/60480 - p**7/2520 + p**5/30 + p**2. Let n(i) be the third derivative of c(i). Find the second derivative of n(w) wrt w. 6*w Let i(n) = 4*n**4 - 6*n**3 + 6*n**2 - n. Let v(h) = -12*h**4 + 17*h**3 - 17*h**2 + 3*h. Let o(w) = -17*i(w) - 6*v(w). Find the second derivative of o(l) wrt l. 48*l**2 Differentiate n**4 + 7*n**4 - 4*n + 4*n - 8 with respect to n. 32*n**3 Let r(i) be the first derivative of -11*i**5/5 + 3*i + 9. Differentiate r(o) with respect to o. -44*o**3 Let t(k) be the third derivative of k**6/30 - 13*k**4/24 - 35*k**3/3 + k**2 + 26. Differentiate t(i) wrt i. 12*i**2 - 13 Let p(f) = -26*f**5 - 3*f**4 - 6*f - 3. Let b(y) = 52*y**5 + 5*y**4 + 13*y + 5. Let t(c) = -3*b(c) - 5*p(c). What is the second derivative of t(n) wrt n? -520*n**3 Let t(y) = -62*y**3 + 20. Let j(r) = -21*r**3 + 7. Let g(q) = 17*j(q) - 6*t(q). Differentiate g(i) with respect to i. 45*i**2 Let m(b) be the third derivative of b**7/10 + 11*b**4/12 - 14*b**2. Find the second derivative of m(h) wrt h. 252*h**2 Find the second derivative of 9*n**5 + 6*n**5 + 311*n - 317*n wrt n. 300*n**3 Let u(o) be the second derivative of -1/3*o**3 - 2*o + 0 + 0*o**2 + 1/4*o**4. What is the second derivative of u(f) wrt f? 6 Let i be 2/(0/(-3) + -2). Let n = 2 - i. Find the first derivative of -1 + 2 - q**4 + 4 - n wrt q. -4*q**3 Let n(p) = -p**3 + p**2. Let t(y) = 32*y**3 + 4*y**2 - 16. Let l(c) = -4*n(c) + t(c). Differentiate l(f) wrt f. 108*f**2 Let s = -5 + 7. Suppose -s*i - 2*j + 12 = -4*j, -4*i + 5*j + 26 = 0. What is the second derivative of -6*y - i*y**4 + 3*y**4 + 7*y wrt y? -12*y**2 Let v(t) be the first derivative of -2*t**7/21 - t**3/3 - 2*t - 2. Let i(k) be the first derivative of v(k). Find the second derivative of i(b) wrt b. -80*b**3 Let u(n) be the third derivative of 4*n**7/35 + 29*n**3/6 + 17*n**2. Find the first derivative of u(a) wrt a. 96*a**3 Let r(a) be the first derivative of 0*a**2 + 1/5*a**5 + 0*a**4 + a + 0*a**3 - 1. Differentiate r(o) with respect to o. 4*o**3 Find the first derivative of 35*o**2 + 42 + 26*o**4 - 10 - 35*o**2 wrt o. 104*o**3 Let x(i) be the third derivative of i**7/15 + 13*i**3/6 + 4*i**2. Find the first derivative of x(l) wrt l. 56*l**3 Let s(q) = 1 - 2*q - 6*q**3 - 2*q + 7*q. Let r(h) = h**3 - 1. Let t(o) = r(o) + s(o). What is the second derivative of t(a) wrt a? -30*a Let a(b) be the first derivative of -2 + 0*b**2 - 4/3*b**3 + 4*b. Differentiate a(m) wrt m. -8*m Let w be (0 - (1 + -1))*-1. Let s(a) = -2*a + a + w*a. Let g(d) = -2*d - 2. Let n(q) = g(q) - 4*s(q). Differentiate n(p) wrt p. 2 Suppose 0 = 3*m + m - 16. Find the second derivative of 5*q**4 - 3*q**4 - m*q + 3*q wrt q. 24*q**2 Let h(c) = c + 15. Let b(m) = -m - 15. Let j(p) = -7*b(p) - 6*h(p). Differentiate j(f) with respect to f. 1 Let i(z) = 12*z - 11. Let p(w) = -11*w + 10. Suppose -5*h - 35 = -10*h. Let l(o) = h*p(o) + 6*i(o). Differentiate l(y) with respect to y. -5 Let a(m) = -m**5 + 17*m. Let k(t) = 4*t**5 + 3*t - 5*t**5 + 6*t. Let z(p) = -3*a(p) + 5*k(p). Find the second derivative of z(g) wrt g. -40*g**3 Let t(p) be the second derivative of 4*p**6/15 - 5*p**2/2 - 19*p. Differentiate t(f) with respect to f. 32*f**3 Let i(z) = -288*z + 273. Let n(k) = 18*k - 17. Let p(w) = 2*i(w) + 33*n(w). Find the first derivative of p(y) wrt y. 18 Let s(c) = -14*c + 9. Let r(w) = w**2 + w - 1. Let x be r(-3). Let h(u) = 9*u - 6. Let v(m) = x*s(m) + 8*h(m). What is the derivative of v(g) wrt g? 2 Let f(h) = -29*h**5 - 2*h**4 - 3*h - 2. Let u(p) = -145*p**5 - 11*p**4 - 16*p - 11. Let i(r) = -11*f(r) + 2*u(r). What is the second derivative of i(s) wrt s? 580*s**3 Let q(w) = -w + 2. Let d be q(-2). What is the third derivative of i**3 + i**6 + d*i**2 - 5*i**2 - i**3 wrt i? 120*i**3 Find the first derivative of 12 - 10 - 6*h**3 + 0*h + 0*h wrt h. -18*h**2 Let b(g) be the third derivative of g**5/60 + 13*g**4/6 - 4*g**3 - g**2 - 1. Find the first derivative of b(f) wrt f. 2*f + 52 Let n(x) be the first derivative of 0*x + 4/5*x**5 - 1 + 0*x**2 + 1/3*x**3 + 0*x**4. Find the third derivative of n(m) wrt m. 96*m Let y be (2 + 8/(-12))*3. Find the second derivative of 5*m**4 + m**4 - 3*m**4 + m**y - 4*m wrt m. 48*m**2 Let o(c) be the third derivative of -5/6*c**3 + 4*c**2 - 1/12*c**4 + 0 + 0*c. What is the first derivative of o(d) wrt d? -2 Let i(w) = -3*w + 24. Let q(b) = -6*b + 47. Let v(g) = 5*i(g) - 2*q(g). What is the first derivative of v(c) wrt c? -3 Let a(o) = -2*o**5 - 4*o**4 - o**2 - 4*o. Let r(h) = -2*h**5 - 3*h**4 - 3*h. Let q(f) = -3*a(f) + 4*r(f). What is the third derivative of q(w) wrt w? -120*w**2 Let x(g) = 2*g**3 - 4*g. Let p(c) = -3*c**3 + 3*c + 1. Let w(k) = -4*p(k) - 3*x(k). Differentiate w(s) with respect to s. 18*s**2 Let c be (-4)/(-12)*(2 - 2). Suppose -3*a - 2*a + 10 = c. What is the first derivative of -a - 3*t + 3*t - 6*t**3 + 3*t**3 wrt t? -9*t**2 Let c(w) = -9*w + 10. Suppose 3*q + q = -2*t - 24, -24 = 4*q + t. Let r(o) = -o + 1. Let v(u) = q*r(u) + c(u). What is the first derivative of v(p) wrt p? -3 Let h(d) be the second derivative of 0*d**3 + 0 - 1/4*d**5 - 9*d + 0*d**4 + 5/2*d**2. Differentiate h(g) with respect to g. -15*g**2 Let s(h) be the first derivative of 2*h**5/5 - 2*h**2 + 4. What is the second derivative of s(o) wrt o? 24*o**2 Let o(a) = -a**3 - a**2 + a + 3. Let n be o(0). Find the third derivative of 0*x**3 + 0*x**3 + x**2 + n*x**3 wrt x. 18 Let z = 4 - 2. Find the second derivative of -j**2 + z*j**2 - j**4 - j**2 - j wrt j. -12*j**2 What is the derivative of -12 - 8 - 22*b**4 - 8*b**4 + 55*b**4 wrt b? 100*b**3 Let x be ((-10)/(-25))/(3/15). What is the third derivative of -2*w**4 + 22*w**2 - 33*w**2 + 20*w**x wrt w? -48*w Let f(w) = 4*w**4 + 5*w**2 - 27. Let y(c) = -6*c**4 - 8*c**2 + 40. Let q(x) = -8*f(x) - 5*y(x). What is the derivative of q(z) wrt z? -8*z**3 Let c(m) = -m + 1. Let z be c(-4). Find the first derivative of -g**2 + 3 + z*g**2 + 2*g**4 - 4*g**2 wrt g. 8*g**3 Let g(v) be the second derivative of 3*v**5/20 - v**3 - 5*v. Find the second derivative of g(n) wrt n. 18*n Let k(q) be the second derivative of -4*q**6/15 + 7*q**4/12 - q. Find the third derivative of k(f) wrt f. -192*f Let b(w) = w**4 + w**3 + w + 1. Let h(u) = -9*u**4 - 11*u**3 - 11*u. Let m(y) = -22*b(y) - 2*h(y). What is the derivative of m(z) wrt z? -16*z**3 Let x be 6/(-14) + 31/7. Let z = x - 3. Find the first derivative of -c**2 + 3*c**3 - z + c**2 + 0*c**2 wrt c. 9*c**2 Let d(u) be the second derivative of -1/30*u**6 + 2*u + 0*u**5 + 0 + 1/6*u**3 + 0*u**2 + 0*u**4. Find the second derivative of d(i) wrt i. -12*i**2 Let a(l) be the second derivative of -1/30*l**6 + 2*
{ "pile_set_name": "DM Mathematics" }
(-6)/75*(2 + -7 - o). Let d = 41/5 - 8. What is the third smallest value in d, i, -2? i Let n be 16/((-544)/51)*(-1 - -3). What is the third smallest value in n, 8, 5, 0.2? 5 Let n = 1.1 + -0.5. Let w = -248 + 248.8. Let k = n - w. Which is the third biggest value? (a) 2/5 (b) k (c) 1/8 b Let y = -139/65 + 33/13. Which is the smallest value? (a) 0 (b) y (c) -2/13 (d) -0.5 d Let s = 0.02 - -0.78. Let o = 167 - 165. What is the second smallest value in 1, o, s? 1 Let j = 26/33 - 437/550. Which is the smallest value? (a) j (b) -1/11 (c) 2/13 b Let i = -2894 - -2871. What is the third smallest value in -0.06, i, 4? 4 Let r be ((-1)/2)/(14/8). Which is the biggest value? (a) -0.2 (b) -16 (c) r a Let r = -0.099 + 42.099. Let a = r + -41. What is the second smallest value in 2/5, -1.3, a? 2/5 Let t be -21*(5 + (-16)/3). Suppose 0 = 4*u + r + 221, -u + r = -0*r + 59. Let h = u + 282/5. Which is the third smallest value? (a) t (b) 4 (c) h a Let n = 18647 + -1025408/55. Let x be 54/(-10) - 2*(-8 + 7). Let t = x + n. Which is the second biggest value? (a) 1 (b) 0.1 (c) t b Let i(z) = -2*z**2 - 112*z + 237. Let m be i(-58). Which is the second biggest value? (a) m (b) -3/2 (c) 30 a Let l = -119/60 - -26/15. Which is the second smallest value? (a) 18 (b) l (c) 0.03 c Let z = 1.0644 - 0.0644. Let f = -55 + 381/7. Which is the smallest value? (a) z (b) 2/11 (c) f c Let w = -3159 + 3154. Which is the third smallest value? (a) -19 (b) -3 (c) w (d) -1 b Let m = 104.8 - 105. Let k = 3 - 3.4. What is the second biggest value in m, -4, k? k Let o = 4.8 - 5. Let s = 2.2 + o. Let w = -3525/13 - -271. Which is the second biggest value? (a) w (b) s (c) 3 b Let c be (8/6)/(2 - (-16)/(-6)). Let q be ((-17)/2)/(5/10). Let y = q + 19. What is the second smallest value in 4/5, c, y? 4/5 Let j(s) = -s**2 + 29*s - 26. Let b be j(28). Let t = 2 - 0. Let d = t + -2.05. What is the second smallest value in b, -0.2, d? d Let v be -9 + (-7)/((-35)/45). Let t = -6.5 + 6. Which is the third biggest value? (a) 0.4 (b) v (c) t c Let t = 2.22 - 2.72. What is the biggest value in 11/2, -3/7, 4, t? 11/2 Let p(u) = -4*u + 148. Let j be p(36). Let i be ((-6)/9)/((-28)/18). What is the biggest value in j, i, -3? j Let v = -55.3 + 6.3. Let h = -48.9 - v. What is the second smallest value in 3/2, h, -2/9? h Let o = 65/153 - 11/17. What is the fourth biggest value in o, -0.5, 0.09, 0.2? -0.5 Let a = 0.9 + 0.1. Let b = -98 + 60. Let m be b/(-56) - (-6)/(-14). What is the second biggest value in m, a, 1/3? 1/3 Let d = -3.3 + 3. Let t be ((-45)/(-20) - 2)*-1*-4. What is the third smallest value in t, d, -0.2? t Let a = -4.4 + 4. Suppose -5 = -y - 4, q - 36 = 3*y. Let w = -34 + q. What is the biggest value in a, w, 1? w Let g(t) = -t**3 + 6*t**2 + 9*t - 8. Let w be g(7). Let s be (38/119 - 2)/w. Let u = s + -2/357. What is the third smallest value in -0.1, u, -1? -0.1 Let h be 18/(-198) + 89/11 + -2. What is the third smallest value in 5, 1, -0.3, h? 5 Suppose -5*p + 59 = -2*i, 0 = -3*i - 2*p + 3 - 63. What is the smallest value in 0.3, -4, i? i Let f = -380 - -382.9. Which is the third biggest value? (a) 4 (b) 2/7 (c) f b Let v be (-14)/(-2)*(-8)/((-64)/440). Let o = -6163/16 + v. Which is the third biggest value? (a) -1 (b) 3 (c) 4 (d) o d Let d = 1/75 + 43/525. Let q = 1.8 + 0.2. What is the second smallest value in -1, q, d? d Let m = -0.426 + 0.316. What is the biggest value in 15, -1/9, m? 15 Let h = -8 + 7.6. What is the biggest value in -0.3, h, -11/2? -0.3 Let f = 1 - 4. Let j be -1*2/f*3. Let u = -13160 + 13156. Which is the second biggest value? (a) 0.5 (b) j (c) u a Suppose 3*f - 41 + 116 = 0. Let v = f - -74/3. What is the third smallest value in v, -0.5, 2? 2 Let w(p) = p**2 + 12*p + 6. Let r be w(-11). Let n = -7 - r. Let q = 0.053 + -0.153. Which is the third biggest value? (a) n (b) q (c) -3/5 a Let l = -58.5 - -59. What is the biggest value in -0.5, 12, l? 12 Suppose -3*v - 3*v = -6. Let i be (33/(-55))/(v/(-5)). Which is the second biggest value? (a) -4 (b) 1 (c) i b Let x = 0.05 + -5.05. Let o = -18.9 - -20. Let v = o + -1.1. Which is the third biggest value? (a) -1/6 (b) x (c) v b Let h = -158 - -153. Which is the third smallest value? (a) 2/5 (b) -0.5 (c) h a Let t = 1.57 - 0.17. Suppose -26*i + i = -125. Suppose -i*r - m + 4 = -6, 0 = 5*m. Which is the third biggest value? (a) 1 (b) t (c) r a Let a = 284 + -286. What is the smallest value in 0, 1.2, a? a Let q = -1.15 + -4.15. Let k = q + 5.3. Which is the smallest value? (a) 2 (b) 4 (c) k c Let y = 102 - 97.4. Let t = -4.55 + y. Let j = 5 + -2. Which is the biggest value? (a) j (b) -4 (c) t a Let g = -0.1 - -0.05. Let f be (-4)/(144/(-198)) - 1/2. What is the second biggest value in 1, f, g, -1/3? 1 Let y = -0.039 - 0.061. What is the third biggest value in y, -3/17, -2/9? -2/9 Let l(k) = -k**3 + 5*k**2 + 3. Suppose 6*n - 30 = -0*n. Let o be l(n). Which is the smallest value? (a) o (b) 2 (c) 1 c Let g = 0.04 + -0.34. Suppose -2 = -f - 3. Let j be -2 + f/(5/(-15)). What is the second smallest value in g, j, -1/3? g Let x = 4715 - 4711. Let i = -5 + 5.14. Which is the second smallest value? (a) i (b) x (c) -5 a Suppose 19*h + 204 = 53*h. Which is the fourth smallest value? (a) h (b) 0.4 (c) 3 (d) -3/2 a Suppose 2*g + 38 = -x - 32, -5*x = -3*g - 118. Let j = 39 + g. What is the third smallest value in -2/11, -0.1, j? j Let l be -3*7/126*2. What is the second biggest value in 0.2, l, 2/15? 2/15 Let v = 25.01 - 25. Let u = -22.99 - v. Let j = 21 + u. Which is the second biggest value? (a) -4/7 (b) 2 (c) j a Let y = 2.6 - 13.6. Let k = 11.3 + y. Which is the second biggest value? (a) k (b) -4/7 (c) 2 a Let u = 0.02 + -16.02. Let y = -20 - u. Let p be 4 + -3 - (-4)/(-10). Which is the biggest value? (a) p (b) y (c) 0 a Let k = -2.1 + 2. Let h = 14.66 + -13.4. Let g = 5.26 - h. Which is the third biggest value? (a) k (b) g (c) 5 a Let k = -291 + 289. Which is the fourth biggest value? (a) -1 (b) k (c) -0.2 (d) 6 b Let m = 115 - 115.069. Let h = -0.269 - m. What is the smallest value in -0.28, -4, h? -4 Let z be (-2)/(6/9)*(-1)/7. What is the third smallest value in -4, z, -9? z Let d = 2679/10 + -1337/5. Let q = -1 + -3. Let j be (6/(-4))/((-14)/q). Which is the biggest value? (a) d (b) -1/3 (c) j a Let y = 1.02 - 1.22. What is the smallest value in y, 3, 1, 1/2? y Let o = 35/207 + -9/23. What is the second biggest value in o, -1, 12? o Let h = 24 - 44. Let m be (-2 + (-12)/(-18))/(-6 - -12). What is the biggest value in h, m, 5? 5 Let q = 31 - 26.7. Let p = -0.3 + q. Let v = -4.4 + p. Which is the second biggest value? (a) -1/5 (b) -1/2 (c) v c Let s = -5.8 + 1.8. Let r = -3.5 + 3. Which is the smallest value? (a) r (b) 1/3 (c) s c Suppose 77*p = 69*p + 40. Which is the smallest value? (a) p (b) 0 (c) -48 c Let b = -53 - -23. Let n be b/(-18) - (-2)/6. Let j be -14*n/(-16) - 2. What is the biggest value in j, -5, 0.03? 0.03 Let v = 18 + -28.1. Let c = 10 + v. Let f = -1.92 - 0.08. What is the third smallest value in c, f, 0? 0 Let n be 90/3888*12 + (-1)/2. What is the fourth smallest value in -2.2, -5, n, -0.1? -0.1 Let c = -1298 - -2599/2. What is the second biggest value in 79, -2/21, c, 2? 2 Suppose 0*x + 15 = 5*x - 5*p, 0 = 5*x + p - 45. Suppose -s + x = 1. Let n = s + -9. Which is the smallest value? (a) -1 (b) -0.4 (c) n c Let p = -6841/22 + 311. Let m = -15/88 + p. Let s be (-1)/(-2) - (-11)/(-2). Which is the second smallest value? (a) 1 (b) m (c) s b Let w = 95 + -4. Let s = 91.57 - w. Let o = s + -0.37. What is the smallest value in 0.3, 4, o? o Let v = -150 - -102. Let m = v - -45. Suppose 4*r - 4*n = 12, 5*r + n - 15 = -0. Which is the third smallest value? (a) r (b) m (c) 2/11 a Let f = -18.9 + 20.9. Let h = -4.05 - -0.05. What is the second smallest value in 1, h, f? 1 Let z = 20.1 - 20. Let h(t) = -t**2 - 16*t - 3. Let o be h(-7). Let f be (o/(-45))/(4/6). What is the second biggest value in 0.5, f, z? z Let s = -52 - -48. Let g(y) = y**3 + 7*y**2 + 4*y - 7. Let z be g(-6). Which is the third biggest value? (a) z (b) 0.04 (c) s c Suppose 4*a = 4*v - 92, -v - a = -9 - 4. Let t be 3/v*-7*(-3)/1
{ "pile_set_name": "DM Mathematics" }
17)*(r - 2) Let m(b) be the first derivative of -37/7*b + 18/7*b**2 + 1/21*b**3 - 179. Determine w so that m(w) = 0. -37, 1 Let m(y) = y**2 - 29*y + 137. Let h be m(25). Factor 5954*a - 5972*a + h + 2*a**2 - 9. 2*(a - 7)*(a - 2) Solve -51/5*c + 3/5 + 48/5*c**2 = 0 for c. 1/16, 1 Suppose 78*u - 13620 = 63*u. Suppose -908 + 3*o**3 - 15*o**2 - 42*o + u = 0. Calculate o. -2, 0, 7 Solve 36/19*a**3 - 4/19*a**5 - 6/19*a**4 - 16/19*a**2 + 0 + 0*a = 0 for a. -4, 0, 1/2, 2 Let -88/5*x**4 + 864/5*x**3 - 4738/5*x + 2/5*x**5 + 2564/5*x**2 - 6348/5 = 0. Calculate x. -3, -1, 2, 23 Let m(u) be the first derivative of -3*u**4/4 + 756. Find d such that m(d) = 0. 0 Let c(r) be the first derivative of 4*r**5/5 + 6*r**4 + 16*r**3/3 - 12*r**2 - 20*r + 1546. Factor c(x). 4*(x - 1)*(x + 1)**2*(x + 5) Suppose 16*c - 11*c + 64 = 21*c. Let t(l) be the second derivative of -15/2*l**3 - 21*l - 5/12*l**c + 0*l**2 + 0. Determine n, given that t(n) = 0. -9, 0 Let v(l) be the first derivative of -7*l**4/60 - 13*l**3/15 + 4*l**2/5 - 101*l + 215. Let u(s) be the first derivative of v(s). Find r such that u(r) = 0. -4, 2/7 Suppose 0 = 4*i + 5*w + 90, 3*i + 9*w + 14091 = 13908. Let 1/2*l**4 + 3/4*l + 1/4*l**i - l**3 - 1/2*l**2 + 0 = 0. What is l? -3, -1, 0, 1 Factor 0 + 584/7*o - 2/7*o**2. -2*o*(o - 292)/7 Let x be 0 + -2 + (8 - 3). Solve -4*u - 9*u + x*u**4 + 17*u - 7*u**3 + 12*u**2 - 16 - 2*u**4 = 0. -1, 2, 4 Let -8/19 + 1272/19*g - 50562/19*g**2 = 0. Calculate g. 2/159 Let s be (0 + -3)*(-1)/18*30620/1531. Factor 2/3*t**5 - 2*t**2 - 2/3*t**4 + 0 + 0*t - s*t**3. 2*t**2*(t - 3)*(t + 1)**2/3 Let g(w) be the second derivative of 5/6*w**4 - 1/4*w**5 + 5/6*w**3 + 0 + 82*w - 5*w**2. Factor g(p). -5*(p - 2)*(p - 1)*(p + 1) Suppose -u + 3*w = 16, 0 = u - w + 729 - 725. Determine b so that 6/5*b**3 + 2/5 + 2/5*b - u*b**2 = 0. -1/3, 1 Determine n, given that 400/7 - 60/7*n - 4/7*n**2 = 0. -20, 5 Let q(g) = 21*g + 91. Let y be q(0). Let n be 8 + 13/(y/(-28)). Determine f so that 0 + 24/5*f**2 + 12/5*f**n + 0*f + 44/5*f**3 = 0. -3, -2/3, 0 Let b(j) be the third derivative of 121*j**8/1176 + 4103*j**7/735 + 544*j**6/7 - 6144*j**5/35 - 2824*j**2. What is x in b(x) = 0? -192/11, 0, 1 Let d(b) = 2*b**3 + b**2 - 2*b + 7. Let i(k) = -3*k**3 - 6*k**2 - 113*k - 14. Let m(x) = -2*d(x) - i(x). Let m(o) = 0. What is o? -9, 0, 13 Let z(w) be the first derivative of 5*w**4/4 - 115*w**3/3 + 200*w**2 - 380*w - 782. Find a such that z(a) = 0. 2, 19 Let q(w) be the first derivative of -w**3/9 + 64*w/3 - 373. Suppose q(d) = 0. Calculate d. -8, 8 Let v be (-98)/8*(-6251)/306299. What is b in 1/4*b**2 - 45/4 + v*b**3 - 21/4*b = 0? -3, 5 Let w = 2 + 3. Suppose -w*q = -494 - 66. Solve -q*g**2 - 1 + 4 + 109*g**2 = 0. -1, 1 Let l(o) be the second derivative of o**6/420 + o**5/15 + 5*o**4/7 + 24*o**3/7 - 18*o**2 - 50*o. Let y(f) be the first derivative of l(f). Solve y(k) = 0 for k. -6, -2 Let d be -29 - -1*(-5586)/(-190). Suppose -18/5 + 2/5*m**2 - 18/5*m + d*m**3 = 0. What is m? -3, -1, 3 Let h(n) = -16*n + 11*n - 4 + n**2 + 14*n - 3. Let y be h(-10). Solve -29 - y*f - 10*f**2 - 2*f + 39 + 5*f**3 = 0 for f. -1, 1, 2 Solve 80*i + 0 - 5/3*i**4 + 217/3*i**3 - 686/3*i**2 = 0. 0, 2/5, 3, 40 Let o(h) be the first derivative of h**6/30 + 11*h**5/20 + 5*h**4/6 - 232*h - 161. Let c(k) be the first derivative of o(k). Let c(r) = 0. Calculate r. -10, -1, 0 Let j = 8280 - -2550. Factor r**4 - 651605 - 10*r**4 + 380*r**3 + 4*r**4 - 77798*r - j*r**2 + 214978*r. -5*(r - 19)**4 Let r(i) = -11*i**2 + 38*i - 12. Let z(q) = -9*q**2 + 39*q - 12. Let n = -173 - -176. Let s(l) = n*r(l) - 2*z(l). Factor s(x). -3*(x - 2)*(5*x - 2) Let h(p) be the second derivative of -18/5*p**2 + 2*p - 7/30*p**4 - 59 + 1/100*p**5 + 49/30*p**3. Solve h(a) = 0 for a. 1, 4, 9 Let y = 133 + -131. Suppose -13*u = -12*u - y. Find g such that -2/7 - 6/7*g**4 + 8/7*g**u + 4/7*g - 4/7*g**3 = 0. -1, 1/3, 1 Let z(w) = 46*w**2 - 85*w - 194. Let q(l) = 74*l**2 - 128*l - 290. Let r(s) = -5*q(s) + 8*z(s). Factor r(t). -2*(t + 3)*(t + 17) Let x(r) = r**2 - 12*r - 4. Let m(i) = 2*i**2 - 25*i - 9. Let y(p) = -6*m(p) + 13*x(p). Let a be y(6). Determine d, given that d**a + 1 + 31 - 7 - 10*d = 0. 5 Let k(o) be the first derivative of -o**2 + 0*o + 3 - 1/3*o**3. Suppose k(n) = 0. Calculate n. -2, 0 Suppose -m - 11 = m - 3*z, -19 = -2*m - 3*z. Suppose -5*r - m*d + 12 = 0, -4*r - d + 4 = -5. Factor -3 - 5*l - 2*l**r + l**2 + l. -(l + 1)*(l + 3) Let y be -13 - -18 - 2/1. Factor 2*i**4 - 4*i + 4*i**2 + 5*i**3 - 13*i**y + 6*i**2. 2*i*(i - 2)*(i - 1)**2 Let t(z) = 3*z**3 - 6772*z**2 - 13545*z - 6782. Let y(v) = -6*v**3 + 13545*v**2 + 27090*v + 13566. Let l(n) = 9*t(n) + 4*y(n). Factor l(b). 3*(b - 2258)*(b + 1)**2 Let q(u) be the first derivative of -5*u**4/4 - 50*u**3/3 + 1315*u**2/2 - 4140*u - 9002. Factor q(y). -5*(y - 9)*(y - 4)*(y + 23) Let k(h) be the third derivative of 10/3*h**3 + 14*h**2 + 7/8*h**4 + 0*h**5 - 4 - 1/120*h**6 + 0*h. Factor k(j). -(j - 5)*(j + 1)*(j + 4) Let m(t) = -6*t. Let l(g) = 2*g**2 - 2844*g. Let o(n) = -l(n) + 10*m(n). Let o(v) = 0. Calculate v. 0, 1392 Let x(n) be the third derivative of -n**6/24 - 173*n**5/6 - 3445*n**4/24 - 860*n**3/3 - 31*n**2 - 1. Factor x(q). -5*(q + 1)**2*(q + 344) Let 469*k**4 + 271554*k**2 + 714466*k**2 - 77327*k**2 + 2*k**5 + 307915*k**2 + 611612*k**3 + 1739*k**4 + 607202*k = 0. Calculate k. -551, -1, 0 Suppose g + 2350 = -4*p, 15*g - 19*g + 2*p - 9346 = 0. Let v = -16216/7 - g. Factor 45*y + 144/7*y**2 + 15/7*y**3 - v. 3*(y + 5)**2*(5*y - 2)/7 Let j(t) be the second derivative of t**7/7560 - t**6/432 + t**5/90 + 4*t**4/3 - t**2 - 169*t. Let l(g) be the third derivative of j(g). Factor l(y). (y - 4)*(y - 1)/3 Let j(c) be the third derivative of c**6/240 + c**5/40 - 3*c**4/16 - 7*c**3/2 + 25*c**2. Let t(i) be the first derivative of j(i). Suppose t(p) = 0. What is p? -3, 1 Find z such that 24 - z**2 + 21*z - 2*z - 29*z = 0. -12, 2 Let p be (21/7 - 19)*(-2)/(-102). Let o = 179/408 + p. Factor 0 + o*c**2 - 1/8*c**4 + 0*c + 0*c**3. -c**2*(c - 1)*(c + 1)/8 Let b(d) = 4*d**2 + 17*d + 22. Let a be 0/17 + (-7 - (1 + 0)). Let w(t) = 10*t**2 + 52*t + 66. Let r(s) = a*b(s) + 3*w(s). Suppose r(m) = 0. Calculate m. -1, 11 Solve -3/5*l**2 - 12/5*l + 0 = 0. -4, 0 Let a(w) be the third derivative of -w**6/300 - 119*w**5/150 - 1519*w**4/60 - 343*w**3 - 568*w**2. Suppose a(l) = 0. Calculate l. -105, -7 Let s(c) be the second derivative of 0*c**4 - 1/120*c**6 + 0*c**3 + 24*c - 35/2*c**2 + 0 + 1/15*c**5. Let w(f) be the first derivative of s(f). Solve w(z) = 0. 0, 4 Determine m so that -3289 + 6144 - 3620 - m**2 + 0*m**2 + 158*m = 0. 5, 153 Determine c, given that 92 + 19*c**2 + 20*c**4 - 136*c + 108*c**3 - 71*c**3 - 32*c**4 = 0. -23/12, 1, 2 Let x(a) be the third derivative of 0*a - 4/9*a**3 - 21*a**2 - 1/10*a**5 - 1/90*a**6 - 1/3*a**4 + 0. Factor x(w). -2*(w + 2)**2*(2*w + 1)/3 Let v = -12 + -196. Let f = v - -1460/7. Factor 0 + f*q**2 - 12/7*q. 4*q*(q - 3)/7 Suppose -6 = -5*z - 2*p, p + 0*p = -5*z + 8. Let a be ((-165)/(-10) - (-4 - z)) + 0. What is c in 105/4*c + 5/4*c**3 + a + 10*c**2 = 0? -3, -2 Let y(u) = 10*u**2 + 5*u. Let d(k) be the second derivative of 11*k**4/12 + 4*k**3/3 - 24*k. Let n(x) = 5*d(x) - 6*y(x). Factor n(a). -5*a*(a - 2) Let j be (0*(-97)/(-7857))/(-2 - 0). Solve 24/5*r**2 + j + 4/5*r**3 + 36/5*r = 0 for r. -3, 0 Let r be (-14)/(-48)*(-60)/(-140). Let v(i) be the third derivative of 1/20*i**5 + 0*i**3 - 13*i**2 + 0*i + r*i**4 + 0. Factor v(o). 3*o*(o + 1) Let i(s) be the second derivative of 2*s**6/15 + 2*s**5/5 - 7*s**4/3 + 8*s**3/3 - 11*s - 29. Factor i(y). 4*y*(y - 1)**2*(y + 4) Solve -2*d - 1889*d**3 + 92*d**2 + 57*d**4 + 31*d**4 + 1711*d**3 = 0 for d. 0, 1/44, 1 Factor -3620779*o + 5*o**4 - 2479*o**3 - 5672*o**3 - 2643941*o + 3144230*o**2 + 231*o**3 + 3128405. 5*(o - 791)**2*(o - 1)**2 Let u = 46 + -29. Let m = u + -10. Solve 26*l - 3*l**2 - m*l + 0 - 3 - 13*l = 0. 1 Suppose 5*v - 105 = -65*b + 62*b, -29 = 5*b - 3*v. Find z, given that 41/8*z - b - 1/8*z**2 = 0. 1, 40 Let a(k) = -k**2 + 10*k - 20. Let x be a(6). What is h in -15*h**x + 5*h**5 - 133*h - 25*h**3 - 114*h + 135*h**2 + 87*h + 60 = 0? -3, 1, 2 Let l(c) be the second derivative of c**6/50 - 33*c**5/25 - 47*c**4/20 + 9*c**3 - 2222*c. Factor l(y). 3
{ "pile_set_name": "DM Mathematics" }
prime factors of 987270810. 2, 3, 5, 107, 457, 673 List the prime factors of 50180415. 3, 5, 3345361 List the prime factors of 345280634. 2, 172640317 List the prime factors of 1364932534. 2, 7, 479, 29077 List the prime factors of 60003407. 29, 311, 6653 What are the prime factors of 48246751? 7, 6892393 What are the prime factors of 203801365? 5, 37, 41, 97, 277 What are the prime factors of 25558711? 25558711 List the prime factors of 1197933994. 2, 59, 10151983 List the prime factors of 948083336. 2, 17, 6971201 List the prime factors of 194016732. 2, 3, 7, 13, 79, 173 What are the prime factors of 1004152903? 13, 61, 1266271 What are the prime factors of 741352993? 741352993 List the prime factors of 302990700. 2, 3, 5, 193, 5233 List the prime factors of 185724498. 2, 3, 71, 435973 What are the prime factors of 1513040161? 2003, 755387 List the prime factors of 84515572. 2, 19, 1112047 What are the prime factors of 175470492? 2, 3, 53, 275897 List the prime factors of 761685634. 2, 59, 163, 199 What are the prime factors of 81395836? 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3, 90017 List the prime factors of 555123044. 2, 7, 419, 47317 List the prime factors of 25441702. 2, 11, 13, 8087 What are the prime factors of 3211530705? 3, 5, 71367349 List the prime factors of 2469642388. 2, 23, 1063, 25253 List the prime factors of 179547190. 2, 5, 727, 24697 List the prime factors of 1489201608. 2, 3, 19, 23, 141991 List the prime factors of 38485576. 2, 4810697 List the prime factors of 2504376690. 2, 3, 5, 73, 1143551 What are the prime factors of 467666370? 2, 3, 5, 5196293 What are the prime factors of 2189920483? 1009, 2170387 What are the prime factors of 8516859? 3, 13, 218381 What are the prime factors of 1829094565? 5, 19, 97, 198491 List the prime factors of 3320761701. 3, 1106920567 What are the prime factors of 184976631? 3, 7, 47, 179, 349 List the prime factors of 3591558. 2, 3, 61, 3271 What are the prime factors of 6056537903? 13, 465887531 What are the prime factors of 475799584? 2, 13, 1143749 List the prime factors of 2147199642. 2, 3, 7, 17041267 List the prime factors of 388700198. 2, 53, 449, 8167 What are the prime factors of 86432750? 2, 5, 345731 List the prime factors of 1152229257. 3, 128025473 List the prime factors of 3087082128. 2, 3, 13, 149, 33203 List the prime factors of 55758468. 2, 3, 353, 13163 List the prime factors of 36043625. 5, 288349 List the prime factors of 246382719. 3, 11, 2099, 3557 What are the prime factors of 38778128? 2, 41, 59113 List the prime factors of 159511661. 491, 324871 List the prime factors of 79067367. 3, 2928421 List the prime factors of 246993746. 2, 123496873 What are the prime factors of 7219610? 2, 5, 721961 What are the prime factors of 4167652551? 3, 733, 1895249 List the prime factors of 15205527. 3, 1689503 What are the prime factors of 20149212? 2, 3, 1679101 List the prime factors of 131605684. 2, 7, 4700203 What are the prime factors of 36532997? 79, 462443 What are the prime factors of 123475690? 2, 5, 13, 53, 17921 What are the prime factors of 1663321155? 3, 5, 521, 212837 What are the prime factors of 252792145? 5, 50558429 List the prime factors of 4476049. 17, 281, 937 What are the prime factors of 869144912? 2, 54321557 List the prime factors of 49028482. 2, 71, 345271 List the prime factors of 25569901. 7, 3652843 List the prime factors of 432423039. 3, 359, 401507 List the prime factors of 89942062. 2, 7, 149, 43117 List the prime factors of 298621717. 298621717 List the prime factors of 36964420. 2, 5, 1848221 What are the prime factors of 287731741? 11, 26157431 List the prime factors of 24846055. 5, 13, 37, 10331 What are the prime factors of 137169022? 2, 17, 4034383 List the prime factors of 273413250. 2, 3, 5, 11, 11047 What are the prime factors of 51702825? 3, 5, 53, 13007 What are the prime factors of 423803080? 2, 5, 433, 24469 List the prime factors of 4060372. 2, 1015093 What are the prime factors of 1190957617? 947, 1257611 List the prime factors of 50247445. 5, 53, 189613 What are the prime factors of 123978555? 3, 5, 293, 9403 List the prime factors of 19113123. 3, 6371041 What are the prime factors of 270724867? 7, 38674981 List the prime factors of 1952457547. 1952457547 List the prime factors of 2421734676. 2, 3, 23, 179, 49019 List the prime factors of 78371807. 78371807 List the prime factors of 2075569924. 2, 43, 331, 36457 List the prime factors of 74712115. 5, 757, 19739 What are the prime factors of 45297284? 2, 47, 240943 List the prime factors of 2431377212. 2, 11, 103, 536491 List the prime factors of 43003432. 2, 5375429 List the prime factors of 275196405. 3, 5, 11, 53, 31469 What are the prime factors of 2959495084? 2, 7, 13, 173, 46997 List the prime factors of 104299459. 11, 861979 List the prime factors of 44695899. 3, 1171, 4241 List the prime factors of 1620354084. 2, 3, 135029507 What are the prime factors of 264839910? 2, 3, 5, 41, 215317 What are the prime factors of 81742165? 5, 47, 53, 6563 List the prime factors of 337401287. 337401287 List the prime factors of 1334128173. 3, 7, 63529913 What are the prime factors of 2335313610? 2, 3, 5, 7, 797, 4651 What are the prime factors of 66472913? 13, 337, 15173 What are the prime factors of 135772811? 83, 1635817 What are the prime factors of 40414192? 2, 7, 13, 41, 677 List the prime factors of 1090450875. 3, 5, 2907869 What are the prime factors of 3983996? 2, 19, 31, 89 What are the prime factors of 57334919? 57334919 What are the prime factors of 232670524? 2, 58167631 List the prime factors of 329815594. 2, 164907797 List the prime factors of 62210924. 2, 31, 501701 List the prime factors of 45160880. 2, 5, 109, 5179 What are the prime factors of 21768762? 2, 3, 3628127 List the prime factors of 455791533. 3, 467, 325333 List the prime factors of 1274038422. 2, 3, 293, 353, 2053 What are the prime factors of 3108364481? 3108364481 List the prime factors of 515056020. 2, 3, 5, 23, 373229 List the prime factors of 50917150. 2, 5, 19, 53597 List the prime factors of 18977180. 2, 5, 53, 17903 List the prime factors of 105934219. 37, 1031, 2777 What are the prime factors of 102242342? 2, 29, 349, 5051 What are the prime factors of 101492676? 2, 3, 313249 What are the prime factors of 1433829132? 2, 3, 677, 58831 List the prime factors of 563689827. 3, 67, 311603 What are the prime factors of 2367570112? 2, 36993283 What are the prime factors of 10257422? 2, 7, 732673 List the prime factors of 593217475. 5, 29, 818231 What are the prime factors of 600586608? 2, 3, 17, 736013 List the prime factors of 82525761. 3, 9169529 What are the prime factors of 2854934798? 2, 1427467399 List the prime factors of 30523591. 7, 59, 73907 List the prime factors of 1804035716. 2, 7, 17, 61, 62131 What are the prime factors of 20574684? 2, 3, 13, 43963 What are the prime factors of 953962265? 5, 190792453 List the prime factors of 46898065. 5, 9379613 What are the prime factors of 411426465? 3, 5, 27428431 List the prime factors of 590165987. 71, 8312197 What are the prime factors of 2458979243? 7, 23, 1907, 8009 List the prime factors of 1932862. 2, 966431 What are the prime factors of 64656334? 2, 1471, 21977
{ "pile_set_name": "DM Mathematics" }
llest value in b, 3, -1/4? b Let t = 0.45 - 0.41. What is the biggest value in 10, t, -2? 10 Let d(s) = 2*s**2 + 5*s + 1. Let n(f) = 2*f + 24. Let z be n(-13). Let w be d(z). Which is the biggest value? (a) w (b) 3 (c) 2/11 b Let g = -49 + 34.4. Let b = g - -15. Let y = -758/19 + 40. What is the second smallest value in b, y, -2/7? y Let x(j) = -2*j**2 - 3*j. Let l be x(-2). Let v be l - 3/(-9) - -2. Let g be 24/(-108) - ((-34)/(-9) + 0). What is the second biggest value in g, v, 4? v Let w = 2.97 - -0.03. Let t = 2.0501 + -0.0501. Let j be (-1)/5 - 38/(-90). Which is the biggest value? (a) w (b) t (c) j a Let f = 36 - 30. Let a = -16.3 + 16. What is the second smallest value in 4, f, a? 4 Let q(u) = u**3 + 26*u**2 - 58*u - 53. Let f be q(-28). Let v be ((-2)/(-4))/(5/6). Which is the second smallest value? (a) -5 (b) f (c) v c Let l = 859.5 + -859. Let m = -29/15 - -18/5. What is the fourth biggest value in 5, l, m, -1? -1 Let h = -5.4 + 0.4. Let t be ((-2)/(-8))/(7/8). Which is the biggest value? (a) h (b) -4 (c) t c Suppose 9 = l + 2*i - 2, 4*i - 28 = -4*l. What is the biggest value in -1/5, l, -2/9, -2? l Suppose -4*o + 755 = -2*o + 5*h, 0 = -o + 5*h + 415. Let p = o - 3514/9. Let k = -0.1 - -0.3. Which is the smallest value? (a) 4 (b) p (c) k b Let m = 1.88 - 1.9. Let k = 0.12 + m. Which is the second smallest value? (a) k (b) 1/4 (c) -0.1 a Let l = -4.51 + 0.51. Which is the smallest value? (a) -0.1 (b) l (c) 0 b Let y be ((-2)/(-12))/(550/(-660)). Which is the third biggest value? (a) 2/7 (b) 0.4 (c) y (d) -5/4 c Let z(d) = -2*d + 26. Let t be z(13). Let l(i) = -2*i - 2. Let g be l(t). Which is the smallest value? (a) 3/2 (b) 0 (c) g c Let m = -26.971 - 0.029. Let t = 26.7 + m. Let j = -3 + 5. What is the smallest value in j, 0.2, t? t Suppose 0 = -y - 0 + 2. Let n be (1 - -11)*(-4)/(-6). Suppose -n = -y*r - 0. What is the second smallest value in 0.1, 0.3, r? 0.3 Let o be 7/21 + (-19)/3. Let d be (-4)/6*o + -9. Which is the second smallest value? (a) d (b) 1/3 (c) 1 b Let q = -4.04 - -0.04. Let d = 4 - 4.3. Let y = 4/21 - -2/63. Which is the second biggest value? (a) y (b) d (c) q b Let s be ((-12)/(-10) - 0)/((-24)/(-400)). What is the second smallest value in -4, s, 4? 4 Let v(h) = h - 17. Let r be v(5). Let w be ((-2)/r - 0)/(-1). Let z = 0.3 - 1.3. Which is the second biggest value? (a) z (b) w (c) 6 b Let c be 2 + 3/((-6)/8). Let q = 549 + -553. What is the third biggest value in c, 1/2, q? q Let o = -5 + -5. Let u = o - -13. Which is the third smallest value? (a) u (b) -4/3 (c) -0.4 (d) 2/5 d Let k = 2/195 + -209/1365. Let u = 0.37 - 1.03. Let f = u - -0.16. What is the third smallest value in f, 0, k? 0 Suppose 4*q + 3 = 3*k, -12 = q + 5*k + 6. What is the second smallest value in q, 3, 7? 3 Let m = -107.1 + 59.1. Which is the second biggest value? (a) -0.2 (b) 0 (c) m a Let b = 9/4 - 23/12. Suppose 0*o - 2*o = -4*f, 2*o - 2*f = -8. Let a be ((-2)/4)/(5/(-2)). What is the smallest value in b, o, a? o Let v = 0.72 - -2.2. Let u = v + 0.08. Let i = -1/7 + 31/21. What is the second smallest value in -2/3, i, u? i Let t = 723 - 726. Which is the fourth biggest value? (a) 1/17 (b) -0.2 (c) t (d) 0 c Let g be (((-399)/(-190))/(-21))/((-4)/(-10)). Suppose 0*v = 3*v - 15. What is the third biggest value in v, g, 1? g Let g = -1629 - -1629. What is the second biggest value in 0.07, g, 26? 0.07 Let r = 2011 - 1988. Which is the second smallest value? (a) r (b) -1/3 (c) 2/11 (d) 2 c Let k = -111 - -88.5. Let x = k + 22. What is the second smallest value in -1/6, -2/3, x? x Let s be (6/30 - 16/30)/((-8)/18). Let t be (2/3)/(6/(-9)). What is the smallest value in s, 1/14, t? t Let p be (1/4)/(4/(-24)). Let y = 0.3 + -0.2. Let b = 0.3 + y. What is the second smallest value in -0.1, p, b? -0.1 Let j = -22 - -21.91. Let h = -1.07 + 0.48. Let c = h - j. What is the third smallest value in -0.01, 3, c? 3 Let l be 30/6 + (-171)/36. Let s be (0*3/(-3))/(-1). What is the biggest value in s, -2/21, l? l Let y = 1.93 + -1.568. Let h = y - -0.038. Which is the fourth biggest value? (a) 1/4 (b) 0.2 (c) h (d) -2/5 d Let r be (-7 - -4) + 17 - -1. Let b be 12/(-28) - r/(-84). What is the biggest value in -3/4, -0.19, b? -0.19 Let s be (-1)/35 + 198/30 + -7. Let u be 9/(-5) + 2 + 0. What is the biggest value in s, u, -2? u Let w = 2/43 + 35/172. Which is the third smallest value? (a) w (b) 0.2 (c) -15 a Suppose -7*o = 124 + 86. Let i be (o/(-75))/(8/10). Which is the smallest value? (a) i (b) 0 (c) 14 b Suppose 2*v + z - 26 = 5*z, 33 = 3*v - 4*z. Let l = 178 - 1244/7. What is the third biggest value in l, v, 0.2? 0.2 Let c(u) = -14*u - 21. Let y be c(-2). Let x = -15 - -10. What is the fourth smallest value in y, 4, 0, x? y Let a be (10 + 0)/(-5 - 213/(-42)). Let c = -839/6 + a. What is the third smallest value in -0.1, -17/5, c? c Let d = 4 - -10. Suppose 5*z - 41 - 4 = 0. Let r = d - z. Which is the third smallest value? (a) 2 (b) r (c) -3/8 b Let i be (2/(-5))/(-2 - -4). Suppose y = 3*z + 11, 3*y - z = -6*z - 9. Suppose 5*u + 10 = 2*h, y*u + 2 + 1 = h. What is the biggest value in 0.6, i, h? 0.6 Suppose 0*m = -2*m, 0 = 2*f - 5*m. Let j = f - -5. Let k = 6067 - 6071. What is the smallest value in j, k, -1? k Let q = -2.733 + 0.033. Let s = q + 1.9. What is the smallest value in -5, 1, s? -5 Let r = 0.437 - 0.837. What is the second biggest value in 5, 0.1, 2, r? 2 Let w = -22.126 + 0.126. What is the third biggest value in -0.4, w, -5? w Let t = -0.0503 + 1.0503. What is the second biggest value in -6, 36, t? t Suppose 4*z + 20 = -2*h + h, 5*z + 2*h = -28. Let r = 211 - 214. What is the fourth smallest value in z, 3, r, -0.2? 3 Let j = -0.087 + 6.987. Let h = -43.1 - -46. Let d = j - h. Which is the second smallest value? (a) -2/7 (b) d (c) 0.21 c Suppose -5*t + 3921 = -8*t. Let k be (-10)/85 - t/850. Let l = -2/25 - k. Which is the second smallest value? (a) 5 (b) 3 (c) l b Let y = 29.393 - 28.9. Let d = 0.007 + y. What is the third biggest value in -2, 0.1, d, 4? 0.1 Let i = 1/3 - 14/15. Let y = -40 - -36. Which is the third smallest value? (a) y (b) i (c) -1/7 c Let o = 10.08 + -0.08. Let y = -102 - -85.4. Let k = -17 - y. What is the smallest value in k, -3, o? -3 Suppose -4*w = -11*i + 13*i + 86, 0 = -5*w - 4*i - 109. Which is the biggest value? (a) 0.03 (b) w (c) 0.5 c Let h be (2 - 469/196) + 1/7. Which is the third smallest value? (a) 2/9 (b) 1/14 (c) h a Let x = -407/4 - -101. Let t = 714 - 714.2. Which is the smallest value? (a) -2 (b) t (c) x a Let y = -0.9 - -2.2. Let n = 10 - y. Let x = n - 9. Which is the second smallest value? (a) -1/4 (b) 0.5 (c) x a Let t be 12/(-10) - 4/(-10). Let c = -13 - -52. Let z = 44 - c. What is the second smallest value in -1, z, t? t Let r = 134 + -400/3. Which is the second smallest value? (a) r (b) -4 (c) -43 (d) -0.4 b Let n = 10.9 + -12. Let x = n - -1. Let a = -5.171 - -5.571. What is the third smallest value in a, x, -0.2? a Let u be (-2)/2 - 4/(-8). What is the third smallest value in u, 6, -3? 6 Let s = 49/48 + -27/16. What is the biggest value in s, -0.29, 4? 4 Let z be 4 - (-39)/(-130)*10. Which is the second smallest value? (a) 1/2 (b) z (c) -0.23 a Let z = 502 - 502.3. What is the second smallest value in -3, z, -64? -3 Let t = -4 - -8. Let i = 7383 - 7382. What is the second biggest value in 3, i, -2/5, t? 3 Let n = 0.16 - 3.96. Let y = n + 4.2. Which is the smallest value? (a) -0.1 (b) 0.05 (c) 0.5 (d) y a Let v = -35.5 + 35.3. What is the third smallest value in -4/3, -3, v? v Let f = -236 - -238. Which is the second biggest value? (a) -2/7 (b) 1 (c) f b Let f = -534 + 534. Which is the second biggest value? (a) f (b) 2 (c) -0.04 (d) 1 d Let w = 3.6 + -0.6. Let k = 10 + -15. Let h = 133.9 - 134. Which is the third biggest value? (a) w (b) h (c) k c Let p = 17.9 + -18.3. What is the fourth biggest value in -4, -1, 2, p? -4 Let x = 6044 - 6045. Let s = -0.6 - -1. What is the smallest value in 0, s, -3/5, x? x Let s = -2245 + 11224/5. Suppose -2*f = 6, -5*n + 5*f + 10 = -4*n. Let p be (n/(-3))/(1/(-3)). Which is the biggest value? (a) p (b) s (c) 2 c Let t = 31 + -36. Let c = 6313 - 1868
{ "pile_set_name": "DM Mathematics" }
, -0.1, 1/4? -0.1 Let r = 6.4 - 6. Let f = -2.7 + 2. Let i = f - -0.6. Which is the nearest to 0.1? (a) -5 (b) r (c) i c Let k = 0.624 + 0.076. Which is the nearest to k? (a) 3/5 (b) -0.3 (c) 0.5 a Let a(d) = d**2 + 9*d + 16. Let i be a(-5). What is the nearest to 1 in i, -0.1, 3/5? 3/5 Suppose -3*a + 3*s = -18, 7*a = 3*a + 5*s + 29. Let p be -4*(-1)/(0 - -1). Let j = p + -3. What is the nearest to j in -3, a, 0? a Let o be (4/(-27))/((-4)/6). Let p = -2 - -9/4. Which is the closest to p? (a) 0.4 (b) -1/2 (c) o c Let m be 0/2 + (-4)/(-46). Let h = -14 - -17. Let n = 2.6 - 3. Which is the nearest to 0.1? (a) m (b) h (c) n a Suppose -v - 8 = -3*v. Suppose -p + v*y = -y + 12, 5*p + y - 18 = 0. Which is the nearest to -1? (a) p (b) 2 (c) 0 c Let t = -2.2 - -1.8. Which is the closest to -0.2? (a) t (b) 1 (c) -0.3 c Let w = 195 + -1367/7. What is the nearest to 0.1 in -2, 0.04, w? 0.04 Suppose 30 = 2*m + 14. Suppose -2*v = -d + 1 + 3, -2*v = -3*d + m. What is the closest to v in 0, -4, 0.3? 0 Suppose -5*p - 17 = 3. Let s = 2 - p. Let q be 3/s - (-2)/(-4). Which is the closest to 1? (a) 4 (b) -3 (c) q c Suppose -f + 1 = -p, f + 4*p - p + 3 = 0. Which is the nearest to f? (a) -1/2 (b) 2/3 (c) -1 a Let x = -44.5 + 44. Which is the nearest to 1? (a) -4 (b) -0.2 (c) x b Let m = -15 + 19. Let b = -6914/19 + 364. What is the closest to b in m, -3, -3/7? -3/7 Let b = -1 + 0.7. Suppose 0 = 33*v - 39*v + 6. What is the nearest to 2 in -1/2, v, b? v Let m(s) = -2*s - 9. Let h be m(-7). Let t = -2 - -7. Let x = t + -1. Which is the nearest to -0.1? (a) x (b) h (c) -0.4 c Let s = -0.06 + -0.14. Which is the closest to -1? (a) s (b) -3 (c) -4/3 c Let x = 11 - 11. Which is the nearest to 0.1? (a) -13 (b) x (c) -1/3 b Let o = -15 + 11. What is the closest to 0.1 in -5, o, -0.3? -0.3 Let b = -11/4 + 69/28. What is the nearest to 1 in 2/7, b, 3? 2/7 Let u = 54.3 - 51. Let o = u + 0.7. Let k = -7 - -4. Which is the nearest to o? (a) 0.2 (b) -1 (c) k a Let k = -102 - -508/5. What is the closest to -3/4 in 5, 0.4, k? k Let h be (-4)/(-14) - (-11)/(-14). Let r be 4/18 - 133/315. Let x be -2 - 18/(-4) - 1. What is the nearest to h in r, x, 0? r Suppose 0*m - m + 2*i = -13, 4*m = i + 17. Which is the closest to 0.1? (a) m (b) 4 (c) 12 a Let h = -0.045 + 0.075. What is the closest to 0.1 in h, 2, 0.1? 0.1 Let i = -1 - -1.4. Let p(l) = l**3 - 1. Let y = -10 + 9. Let z be p(y). Which is the nearest to 0? (a) i (b) 1/6 (c) z b Let p be 3 - 4/(2/2). Which is the nearest to -1/2? (a) p (b) 3/5 (c) 1 a Let j = -5.1 - -5. Let p = -7 - -5. Suppose -4*k - 16 = -4*y, -3 = -4*k + 1. Which is the nearest to 1? (a) p (b) j (c) y b Let r be (-6)/(-8) - (-5)/(-10). Which is the nearest to r? (a) 1/3 (b) 0.2 (c) 3 b Let h = -18 + 20. Let m be (-1)/2*(1 - 4). Which is the closest to 0? (a) m (b) 0.1 (c) h b Suppose 5*h + p - 3*p - 14 = 0, 0 = 3*p - 9. What is the closest to 1 in -4, h, -0.22? -0.22 Let t = 0.5 + -1.3. Let w = t - -0.86. Let r = 0.16 - w. Which is the closest to r? (a) -0.1 (b) -0.2 (c) 2 a Let d = -0.1 + -0.4. Let s = -71.7 + 75. Let j = s - 0.3. What is the nearest to 1 in 0, d, j? 0 Let i = -2 - -1.9. Let v(s) = s**2 - 4*s + 3. Let r be v(2). What is the closest to -1 in 1, r, i? r Let p = 12 - 8. What is the nearest to -5 in -1/2, -0.2, p? -1/2 Let s = 2 + -1. Let l = 536/35 + -78/5. What is the nearest to -1 in 4, s, l? l Let i = 0.34 + -0.74. Let q be (-1*(-9)/(-6))/(-3). Which is the closest to q? (a) i (b) 1/2 (c) -0.5 b Let s = -104 - -941/9. Let x = -11/36 + s. Let k = 0.2 - 0.4. Which is the nearest to k? (a) -0.1 (b) x (c) 0 a Let x be 9/12 - 55/84. Which is the nearest to -0.1? (a) x (b) 0.5 (c) 0.1 a Let f = -53 - -213/4. What is the nearest to 1/3 in f, 2, 3/7? f Let b = -18.4 - -16.4. What is the closest to -2 in -2/9, b, 0? b Let h = -18.6 - -18.5. Let k = 1 - 1. Which is the nearest to h? (a) 3 (b) 0.3 (c) k c Suppose 3*h - 5 = -2*h. Let u = -9 + 10. What is the closest to u in -0.6, h, 5? h Suppose -30 = 5*b - 10. Suppose 3*i = -2*s - 7, -5*i = 2*s + 2*s + 15. Let d = 0.5 - 0.3. What is the closest to -0.1 in d, b, i? d Let t = -16 + 19. Let r = -4.4 - -0.4. Let u = -1 - 0. Which is the closest to u? (a) -0.2 (b) r (c) t a Let j = 47.3 + -47. What is the closest to 2 in -3, j, 1? 1 Let u(w) = w**2 + 10*w - 29. Let b be u(-12). What is the nearest to -0.1 in b, -8, 1? 1 Let v = -4.096 - -0.096. What is the nearest to 1 in -1/6, v, 8/9? 8/9 Let f be (-9)/10 - 30/(-75). Which is the nearest to f? (a) 1/3 (b) -0.3 (c) -3/4 b Suppose -3*w + 1 + 14 = 0. Let z(p) = -p**2 + 6*p + 5. Let f be z(w). Suppose i - 6*i = -f. Which is the closest to 1? (a) 0.5 (b) i (c) -1 a Let u(f) = -f**3 + 15*f**2 + 2*f - 26. Let n be u(15). Which is the closest to 0.6? (a) 3 (b) -1 (c) n b Let y = 0.1 - 0.2. Let n = -0.14 - -0.04. Which is the closest to n? (a) y (b) -0.3 (c) 0.5 a Let m = -16.5 + 24.4. Let t = 8 - m. What is the closest to t in 0.2, 2, -1? 0.2 Let z be 32/(-12) + 5/(10/4). Which is the closest to -1/7? (a) z (b) -4 (c) 5 a Let w = -0.4 - -0.8. Let p = 23 - 8. Let q be ((-4)/150)/((-3)/p). Which is the closest to 1? (a) q (b) 3/8 (c) w c Let r = 5 - 2. Let b = r + -3. Let j be ((-20)/15)/(10/(-3)). What is the closest to -1/3 in b, j, -3? b Let i be (0 + -1)*-1 - 1. Which is the closest to i? (a) -4 (b) -1 (c) 5 b Let f = -0.04 - -3.04. Let h = 3.05 + -0.05. Let v = h - f. What is the closest to 2 in 5, v, 0.5? 0.5 Let n = -12 + 0. Let d = n - -11.6. Which is the nearest to 1? (a) 4 (b) d (c) -4 b Let h = 17/8 - 77/40. Let o be (-375)/(-36) - 1/(-3). Let t = 11 - o. Which is the closest to t? (a) h (b) 4 (c) 0 a Let y = -0.04 - -0.84. Let n = y - 1. Suppose 0*h + 5 = -5*z + 3*h, -5*h = 0. Which is the nearest to -1? (a) z (b) n (c) -4 a Let c = 0.05 - -2.95. Let s = 2.5 - c. What is the nearest to -1/3 in 3/4, s, 0.5? s Let k be (4/(-14))/(4 + -2). Let q = -2 + 2. Which is the closest to -0.1? (a) 4 (b) q (c) k c Let k = 1.1 - 1.6. Which is the nearest to 2? (a) -0.2 (b) -0.3 (c) k a Let z = 1.4 + -0.9. What is the nearest to 2 in 3, z, -1? 3 Let f = 1 + 1. Let r = 1.9 - f. Which is the closest to 1? (a) 2 (b) 6/11 (c) r b Let d = 4.9 - 0.9. Let r = -0.01 + -0.49. What is the nearest to 0.1 in d, -1, r? r Let t(g) = -g**3 + 4*g**2 + 4*g + 9. Let s be t(5). Suppose 8*i = 10*i - s. Let l = 4 - 3. Which is the nearest to i? (a) 1/3 (b) l (c) -1/4 b Let h(q) = -q + 3. Let p be h(3). Which is the closest to p? (a) 0.5 (b) -0.1 (c) 2 b Let y = -8.5 + 8. Let v = 6 + -5.6. Which is the nearest to 0? (a) v (b) -1/6 (c) y b Let k = -39 - -42. Which is the closest to -3? (a) -4 (b) -0.2 (c) k a Let s = 1.97 + 0.03. What is the closest to s in -1/4, -2/5, 0.1? 0.1 Let l = 1/58 + 43/29. Let n = 3 - 1. Suppose -n*r + r = 0. What is the closest to 0 in 5, r, l? r Let j = -6 - -6. Let f be 2 + (112/52 - 4). Which is the closest to 3? (a) 2/9 (b) f (c) j a Let o be ((-4)/6)/(78/18). Which is the nearest to o? (a) 2/19 (b) -2/3 (c) 1/2 a Suppose -4*g = -2*r - 6*g, 4*r = -5*g - 2. Let u = 0.39 + 2.61. Which is the nearest to 0.1? (a) r (b) u (c) 0 c Let m be (-2 - 44/(-16))*-2. Which is the closest to -2? (a) -1/2 (b) -3 (c) m c Let k = 3.4 - 0.4. Let l = 0.3 - 0.2. Suppose -13*n + 7*n = -12. Which is the nearest to l? (a) -2 (b) k (c) n c Suppose -11 = 5*n + 4. What is the nearest to -0.1 in 0.2, n, -1? 0.2 Let m = -22.1 - -22. Which is the closest to m? (a) -1 (b) 0.1 (c) 2 b Let k = 31/3 + -10. Let w be (-1)/7*3/3. Let u = -3.2 - -3. Which is the nearest to k? (a) u (b) w (c) -6/5 b Suppose 6*k - 51 = 3*k. Suppose -5*g = -2*f - 16, 3*g + g - 3*f = k. Let w = 4 + -4.1. Which is the nearest to w? (a) g (b) 0.5 (c) 1/6 c Let y = 1.2 - 1. Let w = -1 - 0.3. Let r = -0.8 - w. Which is the nearest to -1? (a) r (b) y (c) 0 c Let d = -16 + 15. Let p = 5 + -5.6. Which is the closest to d? (a) 0 (b) p (c) 0.3 b Let u be (1/(-3))/((-4)/6). Let v = -11.5 - -11. Let q be ((-3)/4)/(24/16). Which is the closest to q? (a) u (b) -2/9 (c) v c Let i(y) = 5*y. Let z be i(2). Let m be -2 + 4 - 26/z. Let k = 2321/7 + -331. Which is the nearest
{ "pile_set_name": "DM Mathematics" }
0036806300759056*l**2 Let x(m) = -48*m. Let f(l) = -1064562*l**2. Calculate f(x(n)). -2452750848*n**2 Let u(o) = 340490*o**2. Let n(h) = -36*h**2. What is u(n(w))? 441275040*w**4 Let x(h) = -5*h**2. Let z(c) = c - 140. Let n(r) = 3*r - 303. Let p(q) = -6*n(q) + 13*z(q). Calculate p(x(w)). 25*w**2 - 2 Let j(c) = -13*c. Let a(m) be the first derivative of m**5/15 + 5*m**2/2 - 9*m + 66. Let o(v) be the second derivative of a(v). What is o(j(s))? 676*s**2 Let i(b) = 2*b**2. Suppose -98 = -q - 103. Let s(y) = 16*y - 3. Let f(n) = 18*n - 4. Let o(j) = q*f(j) + 6*s(j). Give o(i(p)). 12*p**2 + 2 Let i(j) = -j. Let p(w) = 4*w. Let b(y) = -4*i(y) + p(y). Let h(n) be the first derivative of -4*n**2 - 181. What is h(b(q))? -64*q Let r(c) = c**2. Let h(y) = 15375279*y. Calculate h(r(o)). 15375279*o**2 Let p(i) = 8074*i. Let w(c) = -413*c**2 - c. What is p(w(q))? -3334562*q**2 - 8074*q Let h(x) = 19*x + 51*x - x - 98*x - 3*x**2. Let v(n) = 16*n. What is h(v(w))? -768*w**2 - 464*w Let r(x) = -3*x. Let y(w) = -4157 + 4157 - 1773*w. Calculate r(y(p)). 5319*p Let w(k) = 7*k**2 - 6*k**2 + 3*k**2 - 3*k**2. Let p(f) = -166*f + 12 - 26 + 8 + 6. Determine p(w(s)). -166*s**2 Let w(f) = f**2 - 36951. Let a(j) = 17*j + 3. Determine w(a(b)). 289*b**2 + 102*b - 36942 Let m(z) be the second derivative of 0*z**3 + 0*z**2 + 9/4*z**4 + 1 - 34*z. Let b(d) = d. Calculate b(m(h)). 27*h**2 Let p(s) = -146553*s. Let j(h) = -4*h**2 - 21*h. Determine p(j(w)). 586212*w**2 + 3077613*w Let t = -55 + 275. Let q(i) = t*i - 458*i + 225*i. Let k(u) = 5*u. What is k(q(g))? -65*g Let g(o) = -3*o**2 + 7165*o. Let q(t) = 183*t. Calculate q(g(v)). -549*v**2 + 1311195*v Let z(b) = -5*b + 3. Let r(i) = -395*i - 392*i + 777*i. What is r(z(v))? 50*v - 30 Let y(i) = -44 + 588*i + 42 - 597*i. Let h(u) = u + 43. Give y(h(v)). -9*v - 389 Let u(t) = -4*t. Suppose -96*f - 56450 = -101*f. Let y = -7638 + f. Let a(d) = y - 3652 + 2*d**2. Calculate u(a(m)). -8*m**2 Let x(v) = 0*v - 14*v + 4*v - 8*v. Let o = 69 + -64. Let n(p) = 18*p - o*p - 11*p. Calculate n(x(f)). -36*f Let f(h) = -64*h - 42855. Let b(i) = 159*i. What is f(b(y))? -10176*y - 42855 Let d(r) = 41*r. Let s = 17933 - 17933. Let j(b) be the first derivative of s*b - 1/3*b**3 + 0*b**2 - 34. Determine j(d(t)). -1681*t**2 Let z(g) = 18*g + 14738. Let r(w) = 228*w. Give z(r(d)). 4104*d + 14738 Let m(z) = -33*z. Let f = 12374 + -12374. Let u(b) be the second derivative of 1/6*b**4 + f + 24*b + 0*b**2 + 0*b**3. Calculate m(u(w)). -66*w**2 Let q(r) = 4*r. Let l(f) = 5*f**2 - 258092*f. Give l(q(o)). 80*o**2 - 1032368*o Let t(y) be the first derivative of 5 - 2 + 10*y**2 + 2*y**2 - 7*y**2. Let f(q) = 2*q. What is f(t(v))? 20*v Let p(u) = -1464*u - 1. Let n(h) = -1706*h. What is p(n(y))? 2497584*y - 1 Let n(i) = 5*i**2 + 23*i. Let k be ((-36)/(-63))/((-2)/(-7)). Let p(l) = 8*l**2 - 3*l**k - 3*l**2. Determine n(p(j)). 20*j**4 + 46*j**2 Let n(q) = -3*q**2 + 12*q - 4. Let r(x) = -4*x**2 + 9*x - 3. Let p(t) = 3*n(t) - 4*r(t). Let j(u) = -260*u**2. Calculate p(j(i)). 473200*i**4 Let n(f) = f. Let u(v) = 4979*v**2 - 3771. Determine u(n(x)). 4979*x**2 - 3771 Let b(y) = -4753*y + 9*y**2 + 4753*y. Let t(g) = -8 - 7 - 7*g**2 + 15. What is t(b(h))? -567*h**4 Let t(s) = 32340592*s. Let h(l) = 10*l**2. Calculate h(t(r)). 10459138909104640*r**2 Let z(j) = 5*j**2 + 9*j. Let y(h) = -4*h**2 - 10*h. Let b(m) = 6*y(m) + 7*z(m). Let v(k) be the first derivative of -2*k**3/3 + 4. Calculate b(v(t)). 44*t**4 - 6*t**2 Let y(f) be the first derivative of 4 + 2*f**3 + 3 - f**3. Let v(k) be the third derivative of -k**4/8 - 2*k**2 + 50. What is y(v(u))? 27*u**2 Let c(m) = 2*m**2 - 4*m. Let f be c(-2). Let b(q) = -2 - 2*q + f - 14. Let l(w) = -4*w**2 + 0*w**2 + 4*w**2 - 5*w**2. Determine b(l(r)). 10*r**2 Let h(i) = 16*i - 25. Let a(d) = -4*d + 45. Let r(z) = -23*z + 255. Let b(f) = -34*a(f) + 6*r(f). Determine b(h(m)). -32*m + 50 Let a(f) = f**2 + 2250*f. Let r(g) = -711*g. What is a(r(x))? 505521*x**2 - 1599750*x Let r(w) = -1488*w. Let h(y) = -643*y + 116. Give h(r(k)). 956784*k + 116 Let r = -14951 - -14951. Let l(a) be the third derivative of r*a**3 - 1/12*a**5 + 0*a + 23*a**2 + 0 + 0*a**4. Let u(i) = -6*i**2. What is l(u(q))? -180*q**4 Let w(d) be the third derivative of 661*d**4/12 + 1120*d**2. Let y(h) = -h. Determine y(w(n)). -1322*n Let q(s) be the second derivative of 1/6*s**3 + 0*s**2 + 0 + 27*s. Let g(u) = 116*u**2. Determine q(g(n)). 116*n**2 Let l(p) = 6*p. Let b be (-21)/(-12) + (-4)/(-16). Let m(f) = 7*f**2 + 10*f**2 + 6*f**b - 27*f**2. Determine m(l(t)). -144*t**2 Let a(c) = 10320*c + 2. Let f(q) = -495*q**2 - 6*q. Give a(f(x)). -5108400*x**2 - 61920*x + 2 Let u(w) = -w**3 + 16*w**2 - 30*w + 30. Let m be u(14). Let c(j) = 188*j**m - 19*j - 187*j**2 - 82*j. Let n(y) = y**2. What is n(c(r))? r**4 - 202*r**3 + 10201*r**2 Suppose -2*r - 50 + 54 = 0. Let v(o) = 10*o**2 + o**2 + r*o - 20*o**2. Let x(u) = -u. Give v(x(l)). -9*l**2 - 2*l Let o(b) = -649470*b. Let a(c) = -92*c. Determine o(a(z)). 59751240*z Suppose -6 = 2*j - 10. Let d(o) = -449*o**2 + 240*o**2 + 223*o**j. Let u(r) = 6*r**2. Give u(d(z)). 1176*z**4 Let x(l) = 2*l**2 - 23*l. Let h(z) = z**2 - 2*z - 14. Let a be h(6). Suppose -a*d + 9*d = -14. Let w(i) = -38*i + d*i + 25*i. What is x(w(k))? 2*k**2 - 23*k Suppose 5*r = 5*y + 5, -5*r - 5*y + 6*y + 25 = 0. Suppose 5*z = a - r + 2, -3*a + 25 = -2*z. Let w(q) = a - 3 + q - 6. Let c(b) = 13*b. Calculate c(w(h)). 13*h Let y(q) = 198516*q**2 + 3*q. Let m(h) = -752*h. What is y(m(x))? 112261592064*x**2 - 2256*x Let g(c) = -5*c**2. Let o(w) = -w - 2. Let u be o(-3). Let n be 5 - (u - 4/4). Let q(l) = 3*l + 4*l - 3*l - n*l. What is q(g(y))? 5*y**2 Let l(n) = 217*n**2 - 348*n - 3. Let z(m) = -2*m. Give l(z(j)). 868*j**2 + 696*j - 3 Let d(n) = n. Let j be ((-9)/(-18))/((-1)/(-4)). Let u(x) = 133*x - 133*x + 63*x**j. Determine u(d(a)). 63*a**2 Let k(u) = -4*u**2. Let w(p) be the third derivative of -77*p**4/2 - 9*p**3/2 + 95*p**2. Let a(y) = 71*y + 2. Let o(l) = -27*a(l) - 2*w(l). Give k(o(m)). -19044*m**2 Let o(k) = 61*k - 101. Let s(q) = -290*q**2. Determine o(s(u)). -17690*u**2 - 101 Let s(w) = 16*w. Suppose 0 = 12*c - 7*c - 60. Let x(v) = c - 9 + 2*v - 3. Determine s(x(f)). 32*f Let x(p) = 64*p + 348. Let v(q) = -22*q - 123. Let y(h) = 17*v(h) + 6*x(h). Let i(c) = -3*c. Determine y(i(a)). -30*a - 3 Let t(u) = -554853*u**2 + 198*u. Let h(x) = -2*x. What is t(h(s))? -2219412*s**2 - 396*s Let d(b) be the third derivative of -b**4/24 + b**3/3 + 18*b**2. Let w(i) be the first derivative of i**2 - 7. Give d(w(g)). -2*g + 2 Let c(b) = -b**3 + 4*b**2 - 3*b + 2. Let x be c(3). Let s(d) = d**2 + d**x - 7*d**2. Let r(z) be the first derivative of -z**3/3 - 403. Give s(r(f)). -5*f**4 Let l(z) = -z**3 + 12*z**2 + 9. Let t be l(12). Let w(s) = -5*s - 3*s - t*s - 9*s. Let g(f) be the third derivative of f**5/60 + f**2. What is w(g(q))? -26*q**2 Let b(x) = -2*x. Let u(p) be the first derivative of 5445*p**2/2 + 4380. Determine b(u(k)). -10890*k Let z(s) = -s**3 - 19*s**2 - 21*s + 20. Let b be z(-21). Let y(l) = -1343 + b - 6*l**2. Let f(u) = -17*u**2. Determine y(f(j)). -1734*j**4 Let n(r) = 162021566*r**2. Let w(s) = -2*s. Determine n(w(h)). 648086264*h**2 Let g(j) = -88*j + 18. Let t(r) = 34*r - 7. Let f(a) = -7*g(a) - 18*t(a). Let q(b) = 651*b. Determine f(q(s)). 2604*s Let m(z) be the first derivative of 38*z**2 - 246. Let t(h) = 5*h**2. Give t(m(k)). 28880*k**2 Let s(h) = 35*h. Let n = 43 + -41. Let b = 71 - -448. Let t(p) = 519 + n*p - b. What is t(s(a))? 70*a Let n(a) = -268*a**2. Let z(i) = 91111*i**2. Calculate z(n(u)). 6543956464*u**4 Let q(s) = 5115 + 8*s - 5115 - 96*s**2. Let j(h) = 32*h**2 - 3*h. Let z(a) = -8*j(a) - 3*q(a). Let x(l) = -2*l. What is x(z(v))? -64*v**2 Let t(q) = 20241*q**2 - 65*q. Let v(d) = 63*d**2. What is t(v(m))? 80336529*m**4 - 4095*m**2 Let i(k) = k**2 + 6429*k - 1. Let f(c) = -9*c. What is f(i(y))? -9*y**2 - 57861*y + 9 Let r(j) be the first derivative of -3646*j**3/3 - 819. Let u(z) = z**2. What is u(r(m))? 13293316*m**4 Let z(m) = -30*m. Let n(b) be the first derivative of b**4/3 + 56*b + 51. Let l(v) be the first derivative of n(v). What is l(z(s))? 3600*s**2 Let i(k) = 24424*k**2 - 48769*k**2 + 2 + 24406*k**2. Let t(u) = -3*u. Determine i(t
{ "pile_set_name": "DM Mathematics" }
13*n**2 + 3. Let j(r) be the second derivative of u(r). What is j(8)? -5 Let v(w) = 3*w**2 - 57*w - 48. Let a(y) = 7*y**2 - 137*y - 97. Let k(h) = 2*a(h) - 5*v(h). Determine k(14). 4 Let y(w) be the first derivative of w**3 + 13*w**2 - 17*w + 1339. Determine y(-9). -8 Let y(m) = -8*m**3 - m. Let u(d) = -2*d**2 - 3*d - 4. Let b be u(-1). Let l = b - 2. Let p = 4 + l. Determine y(p). 9 Suppose -86*p + 182*p = 0. Let g(y) = 55*y - 6. Calculate g(p). -6 Let o(h) = 6*h + 4. Let c(z) = 2*z**2 + 53*z - 28. Let s be c(-27). Let j be (-8 - 5/5)/(3/s). Let t(b) = 2. Let p(a) = j*o(a) - 6*t(a). Give p(-1). -18 Let t(p) = 5*p - 1. Let m be -2*2/(-8)*4. Suppose 9*q - 6*q = 5*h + 5, 4*q - h = 1. Suppose -d - m*a - 5 = q, -d + 14 = d - 4*a. Determine t(d). 4 Let q(y) be the first derivative of 45*y**2/2 - 278*y + 1613. Calculate q(6). -8 Let r(p) = p + 5. Let j(s) = -s + 12. Let z be j(9). Suppose 2 = -4*a + 14. Let t = a - z. Determine r(t). 5 Let y(q) = q**2 + 12*q - 47. Let u be -23 - -32*(2 + (-56)/32). Calculate y(u). -2 Let v(u) = 13*u - 6. Let p(k) = -3*k + 1. Let c(s) = s - 5. Let x be c(6). Let a(w) = x*v(w) + 4*p(w). Determine a(2). 0 Let i(o) be the second derivative of -o**6/120 - 2*o**5/15 - 7*o**4/24 - 4*o**3/3 + 65*o**2/2 + 24*o. Let d(y) be the first derivative of i(y). Determine d(-7). -8 Let m(u) = -u**3 + 5*u**2 - 44*u + 79. Let t be m(2). Let v(l) be the first derivative of -9 - 1/3*l**t + l**2 - 2*l. Give v(-3). -17 Let f(j) = -j**3 + j**2 + 35*j - 29. Let c = -9773 + 9779. Give f(c). 1 Let t(i) = -2*i**3 - 4*i**2 - 2*i. Let a be t(-2). Let w be 79 - (-8)/(10/(-5)). Let n(y) = -y**2 + 2*y + w - 147 + 75. Calculate n(a). -5 Let c(b) be the third derivative of b**5/60 + 7*b**4/12 + 2*b**3/3 + 1944*b**2 + b. Determine c(-6). -44 Suppose -k - 2*n + 10 = 0, 5*n + 5 = -3*k + 6*n. Let v be -2 + -1 + 2 - -3. Let o(c) = -5*c**2 + c**v - 1 + 5*c**2 - 2. Give o(k). -3 Let n(h) = h**3 - 6*h**2 + h - 6. Let k be n(6). Let p(g) = -41*g**2 - 2*g - 3. Let w(z) = 21*z**2 + z - 2. Let t(c) = p(c) + 2*w(c). Calculate t(k). -7 Suppose 115 = 67*x - 354. Let q = 2 - -6. Let s(n) = 8*n**2 - n - 2 + 3*n - q*n - n**3. What is s(x)? 5 Let n be 481/37 + 3*-3. Let g(i) = i**2. Let a(p) = 2*p**2 - 1. Let f(b) = -2*a(b) + 5*g(b). Give f(n). 18 Let w = 13788 + -13785. Let u(a) = 3 - a**2 + 5*a - 1 - 3. What is u(w)? 5 Let v(d) = -2*d - 3. Let p(k) = k**2 - 44*k + 157. Let f be p(4). Give v(f). 3 Suppose 17*q - 28 = 13*q. Let l(i) = -q*i + 1 + 5*i - 2*i + 0*i. Give l(-1). 5 Let o(g) = -13*g - 163. Let y(b) = b**3 - 105*b**2 - 317*b + 11. Let j be y(-3). Give o(j). -33 Let i(f) = -f - 107. Let s(a) = 3*a - 108. Let k(q) = -3*i(q) + 2*s(q). Calculate k(-11). 6 Let t be ((-10)/6)/((-370)/1332). Let m(w) = w**2 + 22*w - 164. Determine m(t). 4 Suppose -575*u - 96 = -279*u - 280*u. Let m(r) be the third derivative of 0*r + 1/24*r**4 - r**2 + 0 - 7/6*r**3. What is m(u)? -13 Let x(g) = 10*g + 1. Let f be 9 + -2 + 0 + 561/(-51) - 1. Determine x(f). -49 Let l(u) = 21*u - u**2 + 8*u - 6 + 13*u - 35*u. Suppose -5 = -p - 0. Give l(p). 4 Let w(n) be the second derivative of -n**4/12 + 7*n**3/3 - 4*n**2 + 460*n + 1. Determine w(6). 40 Let r be (-54)/(-14) - (-76)/532. Let m(j) be the first derivative of 2*j**3/3 - 2*j**2 + 3*j + 74. Calculate m(r). 19 Let y = 19 + -12. Let u(o) = -149*o**2 + 26*o - 562. Let k(i) = -16*i**2 + 3*i - 60. Let m(b) = -28*k(b) + 3*u(b). Calculate m(y). 1 Let m(q) = 211*q**3 + 209*q**3 - 421*q**3 - 2*q + 4 + 4*q**2 + 9*q. Calculate m(6). -26 Let y(z) = z**2 - 11*z + 6. Let w(g) = -47*g + 20*g - 4 + 19*g. Let d be w(2). Let x = 30 + d. Give y(x). -4 Let z(q) be the second derivative of q**5/20 - 3*q**4/2 + 65*q**3/6 - 5*q**2/2 + 15*q + 31. Determine z(13). -5 Let w(q) be the first derivative of 23*q**2 + 283*q + 888. What is w(-6)? 7 Let n(x) = x**3 + 10*x**2 + 9*x - 5. Let l = -7 - -12. Suppose 4*y = d + 10, l*d - 3*y + 110 = 2*y. Let c = 17 + d. Determine n(c). -5 Let z(c) = -c**3 - 6*c**2 - 2*c - 7. Let m = 301 - 307. Give z(m). 5 Suppose -5*x + 2*l = -11, -5*l - 16 = 15*x - 16*x. Let q(r) = 5*r**2 - 2*r + 2. Calculate q(x). 5 Let o(w) = -22*w**2 + 2. Let c be o(1). Let y be c/(-30) + (-17)/3. Let v = 2 + y. Let s(z) = -z**3 - 5*z**2 + 2*z + 4. Give s(v). -20 Suppose -3 = -4*k - 3*n, -5*k + 0*n + 1 = n. Suppose k = -18*x - 50 + 158. Let o(p) = p**3 - 6*p**2 - 7. Determine o(x). -7 Let v(d) = 30*d + 213. Let q be v(-7). Let g(a) = 6*a**2 + 3*a**2 - 4*a**2 + a - 3*a**3 + 2*a**q - 4*a**2 - 5. Let r = 0 + 0. What is g(r)? -5 Suppose -8*u = -u + 3*u. Suppose 0 = 4*v, -z - v + 0*v + 1 = u. Let a(h) = 13*h**3 - h + 1. What is a(z)? 13 Let p(c) = 4*c**2 + 0 - 3*c**2 + c + 2. Suppose -d - 2*q = -45, 3*q - 40 - 8 = -d. Suppose -m - d*h = -37*h + 1, 2*m - 3*h = -9. Determine p(m). 8 Let z(h) be the second derivative of h**5/60 - h**4/3 - h**3/3 + 5*h**2 - 2*h. Let g(l) be the first derivative of z(l). Suppose -5*b + 20 = -0*b. What is g(b)? -18 Let r(z) = -184*z + 12. Let y(j) = 136*j - 9. Let q(t) = 8*r(t) + 11*y(t). Calculate q(-3). -75 Let y(o) = -17*o + 3. Let x(b) = b**2 - b + 1. Let w(s) = x(s) + y(s). Give w(10). -76 Let u(w) be the third derivative of w**4/24 + 5*w**3/6 - 19*w**2. Suppose 5*t + 176 - 44 = 2*p, 3*p - 193 = 5*t. Let k = -68 + p. Calculate u(k). -2 Let g(a) = a**2 + 4*a + 8. Let h = 397 + -393. Let d(u) = -u**2 - 5*u - 8. Let i(w) = h*g(w) + 5*d(w). Suppose 0 = -0*f + 3*f + 21. Give i(f). 6 Suppose t = 0, 12 = 2*u + 2*u + 2*t. Let x(l) = -l**2 - 10 - 11*l - 2 + u. Let k be 5 + -21 - (-1 - 8 - -4). Determine x(k). -9 Let v(i) = 2*i + 3. Let c(r) = r**2 + 2*r + 3. Let y be c(-1). Let k be ((1 - 1)/2)/((-4)/y). Let m be (-1*3 + k)*(-20)/12. What is v(m)? 13 Let o(m) = 3*m + 2. Let w(v) = -21 - 18 + 59 - 25 - 5*v. Let g be (-5 - -1)/(2 - 1). Let y(d) = g*w(d) - 7*o(d). Determine y(7). -1 Let k(i) = 9*i + 3. Let l(j) = 5*j. Let b(c) = k(c) - 3*l(c). Suppose 13 = q + 6. Suppose q + 3 = 5*u. Give b(u). -9 Suppose -2*f - f + 19 = -p, 20 = -5*p. Suppose f*i = 7*i - 4. Suppose i*y = -3*y - 3*r - 20, -5*r - 10 = 5*y. Let b(t) = -t - 4. Calculate b(y). 3 Let h(z) = z**2 - 11*z + 2. Let v be h(11). Let f(k) = 8*k**2 + k**v - k**3 - 5*k + 6 + 0*k + 4*k. Let s be (-9)/21 - 17/(119/(-66)). Give f(s). -3 Let a(z) = z**3 - 5*z**2 + z + 1. Suppose 2*w + 5*g = -40, 18 = -5*w + 4*w - 2*g. Let k be ((-208)/w)/4 + (-2)/10. What is a(k)? 6 Let k(z) = z**3 + 5*z**2 + 2*z. Let i(j) = -7 + 48*j + 9 + 4*j**2 - 6. Let y be i(-12). What is k(y)? 8 Let g(h) = 3*h - 1. Let u(j) be the third derivative of j**6/120 + j**5/30 - j**4/6 + 2*j**2 + 8. Let s be u(-3). Calculate g(s). 8 Suppose -i = 4*d - 19 - 51, 5*d - 75 = 5*i. Let y(f) = -f**3 + 18*f**2 - 19*f + 33. Determine y(d). -1 Let f(n) be the first derivative of -n**3/3 + 5*n**2/2 + 6*n + 1. Suppose 9*k = 4*o + 66, 1474 - 1450 = 4*o. What is f(k)? -44 Let q(j) = -j**3 + j - 2. Suppose 36 = -n + 13*n. Suppose 6*x + 5*z = 3*x + 6, -6 = -3*x - n*z. What is q(x)? -8 Suppose 0 = 29*k - 30*k. Let g(j) be the first derivative of 4*j - 1/4*j**4 + 1/3*j**3 + 0*j**2 + 12. Calculate g(k). 4 Let u(b) = b**3 - 11. Let r = -73 + 78. Suppose -r*h + 26 = 16. Suppose -3*k = h*k + 20, -k - 4 = -o. Give u(o). -11 Let f(x) = -65*x - 31. Let d(m) = -23*m - 10. Let y(o) = -17*d(o) + 6*f(o). Let w = 17 + -7. What is y(w)? -6 Let y(p) = 2*p + 1 - p + p**3 - 2*p. Let g(i) = i - 6. Let o be g(3). Let k be (-2)/(8/o) + (-77)/28. Determine y(k). -5 Let w(l) be the third derivative of 23*l - 1/120*l**6 - l**2 + 0 - 3/20*l**5 + 1/3*l**3 - 1/3*l**4. What is w(-8)? 2 Let m(f) be the first derivative of -9*f + 1/2*f**2 + 69. Calculate m(4). -5 Let d = 5501 - 5501. Let r(n) = 3*n**2 - 3*n**2 - n**2 - 3*n - 18 + 2*n. Determine r(d). -18 Suppose -5*m + 14 = -d - 17, -26 = -4*m + 2*d. Let c(j) = j**3 - 5*j**2 - 5*j - 10. Give c(m). -4 Let r(n) = 3 + 4*n - 6 - 22 + 7. Determine r(7). 10 Let r(n) = 43*n + 26*n**2 + n**3 - 186 + 248 - 17*n - 2*n**2. Calculate r(-23). -7 Let y(u) = 5*u - 139. Let s(p) = -p**2 + 289*p + 1497. Let b be s(-5). Calculate y(b). -4 Let o(i) be the third derivative of -i**6/60 + 2*i**5/15 - 13*i**4/24 + 5*i**3/6 + 649*i**2. Calculate o(2). -5 Let y(f) be the first derivative of f**6/120 + f**5/15 - f**4/24 - 7*f**3/6 + 53*f**2 + 1
{ "pile_set_name": "DM Mathematics" }
182? True Is 55614648 a multiple of 498? True Does 531 divide 142776873? True Does 5 divide 42734619? False Does 12 divide 41997744? True Is 98961710 a multiple of 5? True Is 19 a factor of 7093061? True Does 160 divide 59755840? True Is 15 a factor of 32414879? False Is 1495 a factor of 221152360? True Is 166494265 a multiple of 28? False Is 507774060 a multiple of 15? True Is 24563507 a multiple of 122? False Is 11090756 a multiple of 19? True Is 288444 a multiple of 6? True Does 45 divide 308610? True Does 47 divide 8841781? True Is 2301624 a multiple of 78? True Is 61341201 a multiple of 53? False Does 39 divide 12714702? True Does 17 divide 1328699503? False Does 133 divide 35843512? False Does 26 divide 26802542? True Does 14 divide 7874160? True Is 1803843413 a multiple of 20? False Is 766 a factor of 378244672? True Does 23 divide 112713731? True Is 1358 a factor of 176834951? False Does 70 divide 11376960? True Does 2842 divide 120673266? False Does 10 divide 8913082? False Does 11 divide 66839259? False Is 14 a factor of 670435528? True Is 129 a factor of 21973108? False Is 233188683 a multiple of 2962? False Does 201 divide 1181762097? False Does 3 divide 9140078? False Is 1611921 a multiple of 48? False Does 65 divide 16930875? True Is 1739 a factor of 303847068? False Does 28 divide 499515464? True Is 539446641 a multiple of 1217? False Does 13 divide 63144489? False Does 225 divide 585601? False Does 30 divide 18378589? False Does 144 divide 60330816? True Does 72 divide 137496016? False Is 18 a factor of 1250581474? False Is 21178207 even? False Is 400443264 a multiple of 624? True Does 4 divide 300113165? False Does 6 divide 519910925? False Is 1137160 a multiple of 1573? False Is 342895048 a multiple of 75? False Is 489570941 a multiple of 47? True Does 9 divide 120500811? True Is 139 a factor of 178167672? False Does 434 divide 68019518? True Is 24814080 a multiple of 1728? True Is 13 a factor of 1658316597? False Does 50 divide 105208164? False Is 165 a factor of 308209770? True Is 353 a factor of 12742937? False Is 487 a factor of 613940933? True Is 23 a factor of 302664848? False Does 243 divide 6337197? True Is 49043544 a multiple of 2706? True Is 18878964 a multiple of 66? False Is 735 a factor of 18320610? True Is 370 a factor of 15728330? True Does 1916 divide 838960836? True Is 645387354 a multiple of 9? True Does 223 divide 100353568? True Is 68709490 a multiple of 1642? True Is 225053080 a multiple of 980? True Is 4 a factor of 213371880? True Is 266 a factor of 1728734? True Is 52371104 a multiple of 1432? True Is 2707925693 a multiple of 9374? False Does 120 divide 97948917? False Does 2585 divide 218780834? False Is 1740 a factor of 1535730960? True Is 2521499258 a multiple of 163? False Is 122224855 a multiple of 2821? False Does 8 divide 21558248? True Does 15 divide 673425891? False Is 34 a factor of 28503152? True Is 594 a factor of 103361346? True Is 150828339 a multiple of 10? False Is 12794 a factor of 3142449486? True Is 164272810 a multiple of 65? True Does 130 divide 34861840? True Is 194909436 a multiple of 5404? False Is 300 a factor of 6820353? False Is 2282127639 a multiple of 627? True Does 204 divide 5365404? True Is 35848920 a multiple of 408? True Does 186 divide 254079348? True Is 1695960 a multiple of 4? True Does 8933 divide 198804762? False Is 1212603282 a multiple of 1062? True Is 16 a factor of 1270239100? False Is 97 a factor of 825426544? True Does 1148 divide 34690264? True Does 15 divide 68767665? True Does 40 divide 1863739? False Is 4 a factor of 15222? False Is 40991550 a multiple of 15? True Does 499 divide 49571658? True Is 471 a factor of 82314786? True Is 2677 a factor of 160784458? False Is 3 a factor of 799218? True Does 1950 divide 650432250? True Does 338 divide 915450310? False Does 15 divide 59154720? True Is 4078386 a multiple of 26? True Is 629828061 a multiple of 29? True Is 134637629 a multiple of 20? False Does 154 divide 37304911? False Does 6610 divide 533631910? True Does 8014 divide 263492306? True Is 72029350 a multiple of 165? False Is 83544306 a multiple of 41? True Does 146 divide 1681875032? True Is 618085155 a multiple of 1515? True Does 1239 divide 96774244? False Is 1836 a factor of 36946859? False Does 34 divide 102268461? False Is 26769118 a multiple of 24? False Is 41 a factor of 26881259? False Does 2114 divide 101081401? False Is 394438572 a multiple of 385? False Does 199 divide 8347851? True Does 2390 divide 736034015? False Does 8 divide 585065392? True Does 157 divide 27544551? True Is 1086 a factor of 1495122264? True Does 6 divide 6668268? True Is 42 a factor of 16892820? True Is 1759952020 a multiple of 107? False Does 94 divide 1282934278? True Is 64838278 a multiple of 132? False Is 569637949 a multiple of 2266? False Is 326 a factor of 1564474? True Is 61203103 a multiple of 758? False Is 44335391 a multiple of 7? False Is 29 a factor of 316845329? True Does 10 divide 299458385? False Is 375 a factor of 563797875? True Is 9928251 a multiple of 7? False Is 2159 a factor of 155825940? False Is 4 a factor of 94111922? False Does 72 divide 1458803? False Does 247 divide 1677624? True Does 131 divide 100414775? True Is 124 a factor of 1696125? False Is 58886938 a multiple of 8? False Is 55560450 a multiple of 11325? True Is 1643 a factor of 3138977788? True Does 541 divide 1805534090? False Is 2231268 a multiple of 26? True Is 1500868888 a multiple of 202? True Is 917400440 a multiple of 611? False Is 112 a factor of 492041172? False Is 2770053918 a multiple of 81? False Is 39084658 a multiple of 16? False Is 305 a factor of 59648850? True Does 16 divide 493969461? False Is 1042714 a multiple of 205? False Is 285378660 a multiple of 252? True Is 1065115870 a multiple of 35? True Is 76950260 a multiple of 673? False Does 36 divide 30979152? True Is 18 a factor of 9201834? True Is 737161888 a multiple of 34? True Is 140175183 a multiple of 449? False Is 3023 a factor of 311450621? True Is 28646520 a multiple of 420? True Does 15 divide 1295268465? True Is 5 a factor of 223188630? True Does 1118 divide 49782154? False Does 637 divide 10265892? True Is 2276731 a multiple of 63? False Does 14 divide 85344077? False Is 52 a factor of 55337105? False Is 583281949 a multiple of 1517? True Is 23 a factor of 231322477? True Does 435 divide 1747528492? False Does 773 divide 211216419? False Is 161432306 a multiple of 44? False Is 18 a factor of 39410874? True Is 31 a factor of 999130? True Does 3299 divide 8057531? False Is 977 a factor of 308771450? False Does 292 divide 300557475? False Is 76 a factor of 138618984? True Is 5 a factor of 844601517? False Is 165 a factor of 733532330? False Does 227 divide 16062513? False Does 9 divide 6158820870? True Is 27190689 a multiple of 12? False Is 791 a factor of 26010453? True Does 1890 divide 103284774? False Is 901 a factor of 26904761? True Is 11 a factor of 2440661894? True Is 3307 a factor of 133753100? False Is 61363158 a multiple of 17? False Is 125 a factor of 160527243? False Does 386 divide 7075766? True Is 50 a factor of 41750992? False Is 23 a factor of 3029836? True Is 275 a factor of 26232480? False Is 10626960 a multiple of 16? True Is 480 a factor of 18414715? False Is 121 a factor of 349861941? True Does 4 divide 1098120504? True Does 61 divide 10964591? False Is 8435 a factor of 1863696380? True Does 52 divide 94933008? False Is 92 a factor of 561614736? True Is 1159 a factor of 14284441? False Does 539 divide 629602712? False Is 669 a factor of 120451685? False Does 1657 divide 432891092? False Is 5 a factor of 6607411? False Is 35570833 a multiple of 1493? False Is 46194073 a multiple of 2? False Is 204458952 a multiple of 1853? False Does 25 divide 10124875? True Is 1609 a factor of 215450277? False Does 3 divide 260146933? False Is 9 a factor of 5896649? False Does 83 divide 40737876? False Does 44 divide 93457012? True Is 86 a factor of 877511664? True Is 43711512 a multiple of 312? True Does 1710 divide 87217? False Is 538 a factor of 109483000? True Is 498319125 a multiple of 123? True Is 147 a factor of 108831744? True Is 8066010 a multiple of 10? True Is 1202632920 a multiple of 32
{ "pile_set_name": "DM Mathematics" }
(f)? 4 Suppose -2*x - 5*k = 0, 2*x + k = -0*x. Suppose 269*l - 270*l + 439 = x. What is the remainder when l is divided by 34? 31 Let a = -526 - -522. What is the remainder when ((-282)/(-18))/(a - 150/(-36)) is divided by 19? 18 Suppose -9 = 2*l - 5*m, -4*l + 18 = -3*l + 5*m. Suppose 39 = -0*s + l*s. Let k(y) = 16*y - 52. What is the remainder when k(8) is divided by s? 11 Suppose 2*h - 4*f = -8*f - 118, 3*h + f = -192. Suppose 2*v = -v - 240. Let s = h - v. Calculate the remainder when s is divided by 3. 0 Let p = -611 + 1068. Calculate the remainder when 1372 is divided by p. 1 Suppose -4*x - y - 3 = -10, 21 = 2*x - 3*y. Suppose 0 = -2*q + 2*k + 192, x*q + k = 89 + 195. What is the remainder when q is divided by 27? 14 Suppose 9*m + 5*m + 22*m = 5328. Calculate the remainder when 1644 is divided by m. 16 Let g(a) = a**2 - 2*a + 21. Let n be ((-2790)/(-75))/((-3)/(-20)*2). Let x = -113 + n. Calculate the remainder when g(0) is divided by x. 10 Let x = -4870 + 5499. Calculate the remainder when x is divided by 70. 69 Let x be 1/4 - 8238/24. Let y be 4/6 - (x/21 - 0). Suppose y = -4*a + 185. What is the remainder when a is divided by 9? 6 Let t(j) = j**3 - 5*j**2 - 7*j - 10. Suppose 3*p - 3 = x + 2*x, 0 = -p + 4*x - 2. What is the remainder when t(9) is divided by (1/(5/(-42)))/(p/(-10))? 41 Calculate the remainder when 12459/39 + (-6)/13 is divided by 207. 112 Let m(u) = 16*u - 249. Calculate the remainder when m(52) is divided by 150. 133 Suppose -331*v = -284*v - 3486225 + 989209. What is the remainder when v is divided by 253? 251 Let x = -1 - -5. Suppose 0 = -d - 2*p + 23, 36*p = -4*d + 37*p + 56. Let j(t) = 3*t - 30. Calculate the remainder when j(d) is divided by x. 3 Let q = -1222 - -1256. Let n(x) = x**2 - 2*x - 2. Calculate the remainder when q is divided by n(5). 8 Suppose 0 = 2*q - 5 + 3. What is the remainder when 24 is divided by ((-4)/12)/q - (-68)/6? 2 Suppose 5*x + 364 = 3*t, 0 = -t - 5*x + 76 + 32. What is the remainder when t is divided by (-792)/(-40) - 3/(-15)? 18 Let r(v) = 2*v**2 - 52*v + 199. What is the remainder when 64 is divided by r(22)? 18 Let y(h) = 3*h**3 - 9*h**2 + 5*h + 2. What is the remainder when y(8) is divided by 48? 42 Let t(r) = -7*r. Let p be t(4). Calculate the remainder when 30 is divided by (2 + 120/p)*-7. 14 Let z be 5611/(-124) + (1 - 7/4). Let k = -43 - z. Suppose 4*o - m - 71 = 0, -k*m = 11 - 2. What is the remainder when 83 is divided by o? 15 Let i be 246/21 + ((-200)/35 - -6). What is the remainder when 2106/i - (-1)/(-2) is divided by 11? 10 Suppose 0 = 25*a - 21*a + 2*i - 30976, -4*i = 5*a - 38720. Calculate the remainder when a is divided by 250. 244 Let s(t) = 2*t**2 + 17*t + 21. What is the remainder when 236 is divided by s(-9)? 26 Suppose 2*i - 143 - 95 = 0. Suppose -735 - 14541 = -57*x. Let r = -256 + x. Calculate the remainder when i is divided by r. 11 Let b = 1037 - 805. Suppose 30*g = -82 + b. Calculate the remainder when g is divided by 3. 2 Let k(n) = n**3 + 3*n**2 + 4*n + 2. Let y be k(-2). Let g(v) = -1 + 52*v**2 + 59*v**2 + 2*v - 99*v**2. What is the remainder when g(y) is divided by 16? 11 Let m(l) = 7*l**3 - 9*l**2 + 5*l + 63. What is the remainder when 278 is divided by m(3)? 92 Suppose -57*s + 162*s - 102900 = 0. Calculate the remainder when 2945 is divided by s. 5 Suppose -3*q - 12*x + 5488 = -8*x, 5*x = -10. What is the remainder when q is divided by 36? 32 Let k = -42 + 45. Suppose 3*m = 12, 0 = -2*j + 2*m - k*m + 160. Calculate the remainder when j is divided by 4 + (-6 + 5)*-37. 37 Let f(p) be the third derivative of 5*p**4/12 + 59*p**3/6 - 47*p**2 - 2*p. Calculate the remainder when f(0) is divided by 16. 11 Suppose 8*b - 435 = -3*a + 11*b, -725 = -5*a + 4*b. Suppose -150*v = -a*v - 175. What is the remainder when 44 is divided by v? 9 Suppose -2*y + 96 = -2*v, 0 = -4*v - 0*v + 2*y - 192. Let j = 88 + v. Calculate the remainder when 51 is divided by j. 11 Let n(y) = 3*y + 6. Let r be n(3). Calculate the remainder when (80/(-15))/8*-96 + -5 is divided by (5/r)/(2/36). 5 Let g(f) be the first derivative of f**4/2 + 6*f**3 - f**2/2 + 5*f - 3. Suppose -103 + 337 = -26*p. Calculate the remainder when 95 is divided by g(p). 11 Let g = 52 + -43. Let s(v) = 5*v - 4 + 1 + 7*v**2 - g*v. Calculate the remainder when 163 is divided by s(-2). 31 Suppose 0 = 2*l + 5*v + 100 - 89, 5*v + 25 = 0. What is the remainder when 3482 is divided by l? 3 Let g be 1 - (4*-2 + -1). Suppose 0 = -k - 6 + g. Suppose 135 = k*l - l. What is the remainder when 222 is divided by l? 42 Suppose -11*w + 6*w - 520 = -2*h, -1064 = -4*h + 4*w. Suppose -6*g + h = 4*g. Suppose 0 = 3*b - 2*b - 105. Calculate the remainder when b is divided by g. 24 Let l(p) = -2*p**2 + 3*p + 3. Let t be l(3). Let w be (-16310)/t + 3/(-9). Calculate the remainder when w/30 + 1 + (-9)/15 is divided by 25. 16 Let r = 3 - -1. Suppose 0 = -4*g + 16 - r. What is the remainder when 99 is divided by 0 + 0 + g/(9/75)? 24 Let b = 63 + -49. Let k(s) = s**2 - 2*s - 5. Let j be k(3). Calculate the remainder when b is divided by 7 - 6/9*(-9)/j. 2 Let b = -68 - -104. Let p be -4 - (3 + -151)/2. Suppose -67*l = -p*l + 207. What is the remainder when l is divided by b? 33 Suppose 3*j = 7*j - 1848. Let g(h) = h**3 - 94*h**2 - 603*h + 358. What is the remainder when j is divided by g(100)? 56 Let d(s) = 215*s**2 + 26*s - 53. Calculate the remainder when d(5) is divided by 51. 46 Let a = 12268 - 12111. Calculate the remainder when 3293 is divided by a. 153 Suppose -11 + 2 = 3*x. Let g(a) = 44*a + 53. Let w(n) = -21*n - 26. Let o(k) = x*g(k) - 7*w(k). Calculate the remainder when o(10) is divided by 8. 5 Suppose 14*t - 16*t - 2*c + 12 = 0, 2*t = 2*c. Suppose 2*d = -2*f + 110, 3*d - 6*d + t*f = -177. What is the remainder when d is divided by 22? 13 Let l(w) = w + 5. Let y be (-6)/4*(-24)/(-18). Let t(p) = p**3 - 29*p**2 - 63*p + 49. Calculate the remainder when t(31) is divided by l(y). 0 Let x(k) = 4*k**3 + 26 - 19*k - 37 + 7*k + 31*k**2. What is the remainder when x(-8) is divided by (-9)/(-6)*(-16)/(-3)? 5 Let w(i) = i + 8. Let o be w(-6). Suppose k = -4*q - 4*k + 18, q = -o*k + 3. Calculate the remainder when (10/(-12) - (-8)/48)/(13/(-741)) is divided by q. 3 Calculate the remainder when 929 is divided by ((36/1)/1)/((-594)/(-5049)). 11 Let f be (-4)/(6/3)*-1. Suppose -f*p - 313 + 1191 = 0. Suppose 205 = 4*s - p. Calculate the remainder when s is divided by 41. 38 Suppose 25 = 4*u - 2*q + 3, -4*u + 29 = 5*q. Suppose -3*l = -4*h - 88, 7*l + 3*h - 12 = u*l. Calculate the remainder when 68 is divided by l. 20 Let h = 979 - 869. What is the remainder when h is divided by 93? 17 Let c be (-89 - 113) + -6 + (0 - -1). Let f = c - -242. What is the remainder when f is divided by 20? 15 Suppose 125406 = 77*a + 33622. What is the remainder when a is divided by 109? 102 Suppose -m - q + 194 = 0, -2*q = -3*q + 5. Suppose 3*j = 2*r + m, j - r - 4*r - 50 = 0. What is the remainder when j is divided by 17? 14 Suppose l = -3*z + 22, 3*z - 26 = -2*l + 30. Let m(j) = j**2 + 8*j - 1. Let c be (-25)/10*(12/(-15))/1. What is the remainder when l is divided by m(c)? 15 Let v(w) = 14*w**2 + 1474*w + 4416. What is the remainder when 442 is divided by v(-3)? 82 Let f(d) = 2*d**2 - 12*d - 14. Let x(z) = 2*z**3 + 17*z**2 - 11*z - 4. Calculate the remainder when f(10) is divided by x(-9). 10 Let c be (-6)/((-1148)/189 - -6). Suppose 5*d = 89 + c. Calculate the remainder when d is divided by 5. 4 Let w be ((-1)/(-2))/(39/(-78))*-201. Suppose -74*f + 77*f - w = 0. Calculate the remainder when 870 is divided by f. 66 Let g(j) be the third derivative of j**5/60 - j**4/24 - 2*j**3/3 + 20*j**2. Let v = 32 - 3. Calculate the remainder when v is divided by g(4). 5 Suppose 3*i - 182 = -4*x, 8*x = 5*x - 14*i + 160. Calculate the remainder when 964 is divided by x. 40 Suppose x + 3 + 13 = 3*w, -20 = -3*w + 5*x. Suppose -w*v - i + 78 = 0, 3*v - 8*v - 2*i = -81. Calculate the remainder when 119 is divided by v. 14 What is the remainder when 631 is divided by (-30)/(-36) + (-6897)/(-342)? 1 Let r(k) be the first derivative of -k**4/4 - 5*k**3/3 - 6*k**2 - 9*k - 50. What is the remainder when 89 is divided by r(-4)? 20 Suppose 10213 - 68579 = -134*l + 60628 - 20370. What is the
{ "pile_set_name": "DM Mathematics" }
v (b) -0.1 (c) 2/5 a Let s be ((-2)/12)/(1 - 0). Let h = -231 - -223. Which is the closest to h? (a) -0.2 (b) s (c) -0.5 c Let x be (-161)/1656 + (2 - 48/27). What is the closest to -3/23 in -2, -1/6, x? -1/6 Let u = 2 - 4. Suppose -5*v + 2*d = -d, 2*v - 2*d = 4. Let s be -1 + 749/490 - 6/14. Which is the nearest to u? (a) v (b) -2/5 (c) s a Let k be 4/16*2*2 + -123. Let v = k + 122. Which is the nearest to v? (a) -3/2 (b) 1/2 (c) 2/11 c Let k = 3.58 + -3.66. Which is the closest to 1? (a) 2/7 (b) 3 (c) k a Suppose 15 + 19 = l - 3*p, -5*p = 3*l - 130. Let n = -25 + l. Let o be n/15 + (-1 - 0). Which is the nearest to 1? (a) -13 (b) 2/7 (c) o b Let x = 37 - 29. Suppose -x*f - 6 = -2*f. Let v(y) = y**3 + 4*y**2 + 4*y + 2. Let d be v(-2). What is the closest to f in d, -5, 0.5? 0.5 Let s = -23/10 + 5/2. Let a be (-1)/20 - 1110/1800. What is the closest to s in a, 1, -0.2? -0.2 Let x = 11 + -9. Suppose 4*h = x*h + 6. Let y be (5 + -2)*h/(-18). What is the closest to y in -0.2, -2/7, 2/17? -2/7 Let z = -0.1 + 0. Let r = 3.4 + -3. Let m = -30.5 - -31. Which is the nearest to z? (a) r (b) -0.5 (c) m b Let l = 8 + -8. Let t = 55 - 55. Suppose 6*b = 8*b + 4*v - 10, 2*b - 2*v + 20 = t. What is the closest to 7/5 in l, 0.1, b? 0.1 Let n(c) = 47*c + 146. Let l be n(-3). Let p = -1374/7 + 196. What is the closest to 0 in p, l, -4/5? p Suppose 4*j - 9*j = 15. Let m be j/(-6) - 6/9. Suppose -5*r - 2*t + 35 = -0*t, -4*r = 2*t - 30. What is the closest to -0.1 in -4/3, r, m? m Let m be ((-21)/14)/(1 - 19/4). Which is the nearest to 1.9? (a) m (b) -3 (c) 0 a Let i be (-23)/(-5) - (-28)/70. Suppose 4 + 6 = -i*b. Let u be 3 + 219/(-45) - b. What is the closest to -1 in 2, u, -1/7? -1/7 Let j be ((-16)/(-176))/(2*3/(-12)). Let u = 4 + 0. Let g = u + -5. What is the closest to g in j, -3/4, -0.2? -3/4 Let t = -11.7 + 15. Let q = 3.4 - t. What is the nearest to -1 in q, 3/8, -5? q Let x = 7 - 19/3. Suppose -25*g = -20*g + 10. Let m = -6 - -7. Which is the closest to g? (a) x (b) 0.1 (c) m b Let b = -2/63 + -16/63. What is the nearest to -2 in 1/6, -1, b? -1 Let p = 12 - 14. What is the nearest to -43 in 2/3, 0.1, p? p Let w = -187 + 190. Let r = -0.17 - -4.17. Which is the nearest to 2/3? (a) r (b) 1/4 (c) w b Let g = 0.142 + 4.858. Which is the nearest to 0.2? (a) 1 (b) 52 (c) g a Let o be 1086/(-8) - 6/((-144)/(-6)). Let g = 133 + o. What is the nearest to 2/9 in g, -0.5, -2/11? -2/11 Let s be (3 + 84/(-32))*(14 - 6). Which is the nearest to 2? (a) -3/2 (b) -1/4 (c) -2/7 (d) s d Let f = -91 + 88.2. Let g = -2.8 - f. What is the closest to g in 0.4, 0.3, -1? 0.3 Let v = -7.7 - -8.7. Let f = 1.16 + -0.16. What is the nearest to v in f, -3/5, -0.1? f Let v = -0.108 - -3.108. Which is the closest to 0.1? (a) 3/7 (b) v (c) -9 a Let b = 39 - 79. Let v = 43 + b. What is the nearest to 1 in 3/5, v, 4? 3/5 Let f = 1350 + -12148/9. What is the closest to 0.1 in -11, -2, 5, f? f Suppose 0 = 5*d + 1 - 1. Which is the nearest to -0.2? (a) 4 (b) 1/6 (c) d c Let p = -80 - -79.6. Let n = -26/77 - -5/77. Let r = n + -35/33. What is the nearest to p in -1, r, 4/7? -1 Let d be (1/17)/(-1)*(-16)/8. Let i be (-16)/(-90) - 20/50. Which is the nearest to -1? (a) d (b) i (c) 3 b Let m = -0.1 + -0.1. Let n = 0.1358 - 1.1358. Which is the closest to 1/4? (a) n (b) 5 (c) m c Suppose -5*x - 3*r + r = -6, -3*x - 4*r = -12. Let y = 2 - 2.01. Let k = y + -4.99. Which is the closest to x? (a) k (b) -2/3 (c) -0.4 c Let j = -331 + 329.8. What is the closest to 0 in j, -0.06, 0? 0 Suppose 0 = -7*v + 3*v - 12. Let g = 28 - 86/3. Which is the nearest to g? (a) v (b) -5 (c) 2/7 c Let m be (0 - -1)*1/(-3)*-9. Let z = 0.7 - 1. Let g = z - -0.4. What is the nearest to g in m, 2, 0.1? 0.1 Let n = 17.82 - -0.18. Let o = n + -17.6. What is the nearest to 2/7 in o, 2/21, 4? o Let z be 7 - 1442/210 - (-38)/(-60). What is the nearest to -1 in 0, z, -1/4, -2/5? z Let u = 0.13 + 0.07. Let p = 0.1 + u. Let h = -0.1 + p. Which is the nearest to -1? (a) h (b) 0 (c) 1/7 b Let n = -717/14 + 103/2. Let d = -2917/11 - -265. Which is the nearest to -0.1? (a) n (b) d (c) -2 b Suppose 0 = 2*y - 6 + 2. Suppose y*s = -3 - 3. Let j = -7 - -7.2. Which is the closest to j? (a) s (b) 0 (c) 1 b Let m = -11 + 9. Let t = -0.24 - 0.26. Which is the nearest to -2/9? (a) m (b) 1/4 (c) t c Let a = 1473 + -1473.4. What is the closest to 0 in 0.6, a, -3? a Let n be (-155)/22 + 11/242. Which is the nearest to -0.1? (a) 3 (b) n (c) 1/8 (d) -1/3 c Let s be 12/(-66) - (-16)/44. Which is the nearest to -0.2? (a) -0.3 (b) s (c) 3 a Let u be (-16)/((-480)/(-18))*10/(-36). Which is the nearest to -2/3? (a) -0.1 (b) u (c) -0.9 c Let t = 2.6 + -2.6. Let p = -138 + 143. What is the nearest to t in -1/4, 0, p? 0 Let l = 140.9 - 141. Let g be ((-27)/7)/3 + (-4)/(-14). What is the closest to l in -0.5, -4, g? -0.5 Let h(r) = r**3 - 5*r**2 - r + 6. Let y be h(5). Let j = 8.203 - 8.3. Let n = -0.103 + j. What is the closest to n in 0.2, 0.1, y? 0.1 Let x = 148 - 1330/9. Let o = -131/2 - -64. Suppose d + 1 - 2 = 0. Which is the closest to x? (a) 2/7 (b) d (c) o a Let f(l) = -3*l**3 + 4*l + 3. Let v be f(-1). Which is the closest to v? (a) 4 (b) 17 (c) 3/5 c Let b = -1 + 1.1. Let x = -17 - -28. Let k be x/22*8/(-14). What is the closest to b in 2/5, -1/4, k? 2/5 Let a = -266 - -267. What is the nearest to 2/5 in 1/5, a, 4? 1/5 Let i = -2.96 + -0.04. Let y = -0.03 + 3.03. Let g = 2 + y. What is the closest to 0 in g, i, -1? -1 Let d = 0.05 - -0.25. Let h = 284 - 283. Let n = -1 - -4. Which is the closest to 0? (a) n (b) d (c) h b Let w be ((24/(-27))/((-32)/48))/4. Let d = -0.08 + 5.08. Let g = -0.1 + 1.1. Which is the nearest to g? (a) 3 (b) w (c) d b Suppose 0 = 2*b - 8*b + 18. What is the closest to 0 in -2/3, -2/17, -13, b? -2/17 Let p = 62.9 + -62.7. Let s = -73/138 - -2/69. Which is the closest to -6? (a) 5 (b) s (c) p b Let g be (6/4 + -2)/(21/(-14)). Let p(w) = w**3 - 3*w**2 - 4*w - 1. Let s = -6 + 10. Let n be p(s). What is the closest to g in n, -2, -2/5? -2/5 Suppose -20*s + 290 = -15*s. Let f be 4/(-14) - s/(-154). Let r = 0.1 + 0.1. What is the nearest to -2/13 in r, 0.1, f? f Let c = 121 + -125. What is the nearest to 1/4 in 0, c, 3, 1/11? 1/11 Let k = 16 + -14. Let w = -1.4 + -0.6. Which is the nearest to w? (a) -3 (b) k (c) -4 a Let k = 524 - 3674/7. Let f(o) = o**3 - 3*o**2 + 2. Let j be f(2). What is the closest to j in -2/3, -1/10, k? k Let p = -103.9 + 105. Let w = 0.1 - p. What is the closest to 2 in -3, -5, w? w Let q = 0.049 - -7.951. Let f be 30/(-20)*(-2)/6. Which is the closest to f? (a) q (b) 1 (c) -4 b Let j = 1479.96 - 1480. What is the closest to -1 in 5, j, 1.6? j Let t = 0.05 + 1.95. Let h = t - 3. Let q = 0.9779 + -1.0779. What is the nearest to q in 1/5, h, -0.3? -0.3 Let d be ((-1)/10)/(-11 - (-520)/48). Which is the closest to 3/2? (a) 0 (b) d (c) -7 b Let n be (-2255)/(-180) - (4/1)/(-2). Let z = 59/4 - n. Let j = 3.92 - -0.08. Which is the nearest to z? (a) 0.2 (b) j (c) -1/2 a Let y(z) = -z**3 - 7*z**2 - 3*z + 8. Suppose -l - 3*h - 5 = 0, 4*l = -0*l + 3*h - 20. Let i be y(l). Which is the nearest to -1? (a) i (b) -5 (c) -3/5 c Let w = -4 - -7. Let d = 3534 + -3539. Let g = -0.2 + 0.3. What is the nearest to g in w, d, 1/2? 1/2 Let g = 0.025 + -2.125. Let k = g + 1.9. Which is the closest to k? (a) 4 (b) 5 (c) -0.3 c Let z = -0.06 - -5.06. Let l be (-8)/(-20)*-1*(0 - 1). Suppose -2*o + 5 = 3. Which is the closest to l? (a) z (b) o (c) 0 c Let v be (-6)/(-15) - 18/20. Suppose 64*u - 68*u = -5*g + 12, 0 = 4*g - 4*u - 12. Which is the closest to g? (a) v (b) -5 (c) 2 a Let j = 3 + 33. Let g = 35.4 - j. Which is the closest to -0.1? (a) -0.5 (b) g (c) -3 a Let k = -1.32 + 0.32. Let j = 2.9 + k. Let c = j - -2.1. What is the nearest to 1 in c, 1/8, -0.4? 1/8 Let f = -1937 - -1935. What is the closest to -3 in 0.4, 0.1, f, 1/3? f Let a be (10 + -2)*(-655)/(-35). Let r = a + -150. What is the closest to r in 2/5, 4, -3? 2/5 Let t = -13 - -13.03. Let h = -4.97 - t. Let d = 43 + -303/7. Which is the nearest to 0? (a) 4 (b) d (c) h b Let q = -0.3 + -0.7. Let l = q - 1. Let f be (-1)/(((-17)/85)/(3/25)).
{ "pile_set_name": "DM Mathematics" }
55601? -255455565 In base 4, what is 22 + -1000230121232? -1000230121210 In base 5, what is 1324040 + 311122? 2140212 In base 15, what is 543 - 640? -ec In base 4, what is -202101 + -13312? -222013 In base 12, what is 8a2a - -5b35? 12963 In base 12, what is -232 + 5258? 5026 In base 5, what is 103141 + -3401244? -3243103 In base 10, what is 174 + -188384? -188210 In base 14, what is 16 + -ba9100? -ba90c8 In base 2, what is -1 + -101111100100010110? -101111100100010111 In base 15, what is -3b - -7561a? 755ce In base 14, what is -da + -152224? -152320 In base 12, what is -67 - -249603? 249558 In base 10, what is 2623968 + 118? 2624086 In base 9, what is -586440 - -40? -586400 In base 8, what is 16622670 - -2? 16622672 In base 15, what is -38179 - -3a? -3813e In base 4, what is 20102032323 - -1? 20102032330 In base 13, what is 2b82cbc - 0? 2b82cbc In base 4, what is -20103102 - 3111? -20112213 In base 9, what is 18008 + -8181? 8717 In base 11, what is -16221 + 352? -1597a In base 2, what is -11000111 + 1010010010010110? 1010001111001111 In base 5, what is 332 + -110124312? -110123430 In base 15, what is 10 - -2d9c0? 2d9d0 In base 7, what is 132205566 + -41? 132205525 In base 4, what is 31322022 + -2223? 31313133 In base 16, what is 2a - -18a65b? 18a685 In base 11, what is 4431770 - -49? 4431809 In base 14, what is 20 + 84ccab? 84cccb In base 2, what is -11 - 1000001101001011011? -1000001101001011110 In base 14, what is -5cdab797 + 1? -5cdab796 In base 3, what is -1222110201122 + -1222? -1222110210121 In base 2, what is 1010 - 1100011100101010001001? -1100011100101001111111 In base 9, what is 2 + -22011381? -22011378 In base 15, what is -15a743 + -34? -15a777 In base 2, what is 101101001011 - 1010001010001? -100100000110 In base 16, what is -167 + 26cfb? 26b94 In base 5, what is -24443413 + -244? -24444212 In base 12, what is -2294752 - -2? -2294750 In base 7, what is 2333 + 303135? 305501 In base 8, what is -13374013754 + 5? -13374013747 In base 16, what is -e + -4a9f3? -4aa01 In base 15, what is 33c - -aa90a? aac47 In base 5, what is -142411 + 11310? -131101 In base 14, what is -5cb - -83b52? 83565 In base 5, what is 24 + -334202201? -334202122 In base 12, what is a41a80 + 6? a41a86 In base 6, what is 15553 + 1031541? 1051534 In base 3, what is 1111210000210 - -2222? 1111210010202 In base 3, what is -10 + -10022202002201? -10022202002211 In base 12, what is 1 + b367b44? b367b45 In base 5, what is 11340143010 + -2? 11340143003 In base 5, what is -121100 - -40114? -30431 In base 14, what is 35 - 407d82? -407d4b In base 2, what is -11001110011011100 + 1000011100? -11001101011000000 In base 12, what is -29581 - -1b4? -29389 In base 4, what is 12310 - 1132203? -1113233 In base 9, what is -13037812 + 5? -13037806 In base 9, what is -32887143 - -1? -32887142 In base 11, what is 22955383 - -1? 22955384 In base 13, what is b0 - 281a7? -280c7 In base 5, what is -331 + -341222013? -341222344 In base 5, what is 24 - -10213433321? 10213433400 In base 11, what is 3 - 805a6551? -805a6549 In base 7, what is 5 + -2114455? -2114450 In base 10, what is -2968457 - 27? -2968484 In base 9, what is -17462377 - 5? -17462383 In base 15, what is -165 + -a70? -bd5 In base 6, what is -14424511 + -1422? -14430333 In base 12, what is 29700 - 1890? 27a30 In base 16, what is 1 + 59e28? 59e29 In base 3, what is 2210110220001 - -212? 2210110220220 In base 11, what is -860009 - 20? -860029 In base 12, what is 4063045 - -1? 4063046 In base 10, what is 11 - 4611385? -4611374 In base 6, what is -324 + -1504221? -1504545 In base 15, what is 4900d + 4? 49012 In base 7, what is -13 - -346620411? 346620365 In base 7, what is -20 - 25440022? -25440042 In base 8, what is 6723761 + -6? 6723753 In base 10, what is 0 - -26031104? 26031104 In base 14, what is 27b345 - 34? 27b311 In base 2, what is 111101001110001000111 + 10? 111101001110001001001 In base 4, what is 133 + 3133331020? 3133331213 In base 3, what is -2000011111021 + 21? -2000011111000 In base 2, what is -1001010100100 + -101010000110100? -110011011011000 In base 12, what is -196b30961 - 2? -196b30963 In base 8, what is -5 + 373601771? 373601764 In base 8, what is 3 - -44371066? 44371071 In base 15, what is 25c1150 + -5? 25c114a In base 10, what is -12712469 - -4? -12712465 In base 11, what is -388a77 + -8? -388a84 In base 3, what is 0 + -20200212001121020? -20200212001121020 In base 13, what is 304 - -777b? 7a82 In base 2, what is 10 + 11001101011010110110? 11001101011010111000 In base 16, what is 5 - -23a00? 23a05 In base 10, what is -284 + -16244? -16528 In base 11, what is -78 - -939498? 939420 In base 15, what is 3adb9 - 18e? 3ac2a In base 14, what is -4235d5 + 2? -4235d3 In base 11, what is -1482 + -217730? -219102 In base 5, what is 123 + 132202312? 132202440 In base 9, what is -38 - 1248354? -1248403 In base 3, what is 10 + 1222011002212211? 1222011002212221 In base 16, what is -2c2242 + 2f? -2c2213 In base 12, what is 225 + 179a6a? 17a093 In base 5, what is 210223100 - -24? 210223124 In base 7, what is 23 + 232345? 232401 In base 7, what is -45 + -1622240? -1622315 In base 13, what is 2 + 6c9520? 6c9522 In base 7, what is -4666223500 - -4? -4666223463 In base 4, what is -202310333023 - -11? -202310333012 In base 10, what is -13411 - -402? -13009 In base 5, what is 111444 - -102431133? 103043132 In base 9, what is 1415 - 2715? -1300 In base 14, what is -76d - c088? -c817 In base 12, what is 526b + 13237? 184a6 In base 15, what is -3da4 + -2? -3da6 In base 10, what is -3609712 + -61? -3609773 In base 10, what is 9688985 - 5? 9688980 In base 4, what is -1231010 + -131111201? -133002211 In base 9, what is 73801560 - 2? 73801557 In base 13, what is -5376a - -21? -53749 In base 13, what is 63638 - 5b? 635aa In base 4, what is -120 + 111030022301? 111030022121 In base 7, what is -3 + 12514402? 12514366 In base 11, what is 4 + 45a32864? 45a32868 In base 4, what is 11203 + 12003022? 12020231 In base 3, what is -201120200110111002 - 0? -201120200110111002 In base 9, what is -6 + -123373412? -123373418 In base 9, what is -5 - -8043645? 8043640 In base 16, what is 27cac71 + 5? 27cac76 In base 13, what is 124237 - 25? 124212 In base 10, what is -23142110 - 4? -23142114 In base 6, what is -20354353 - -15? -20354334 In base 9, what is -3677048673 + 2? -3677048671 In base 3, what is -20000001 + -22021200111? -22111200112 In base 16, what is 95e4989 - 6? 95e4983 In base 11, what is -4a72 - 10121? -15093 In base 15, what is -19d2a + -124e? -1b079 In base 15, what is -5 - b448b? -b4491 In base 14, what is 13 + 24cb91a? 24cb92d In base 15, what is 14 + 3e1ed0? 3e1ee4 In base 13, what is 2a200 - -43? 2a243 In base 15, what is d6e4 + -6c? d677 In base 5, what is 2 - -302421202? 302421204 In base 2, what is 1001110111010010011000001 + 100010? 1001110111010010011100011 In base 15, what is 4 + -2111aa? -2111a6 In base 5, what is 44243222 - 31? 44243141 In base 16, what is b26 + c8a? 17b0 In base 11, what is 18460424 + -3? 18460421 In base 5, what is 3 + -411110441? -411110433 In base 3, what is 21022022222220010 + -12? 21022022222212221 In base 3, what is -221222 + -20100122122? -20101121121 In base 6, what is 304342 + -240103? 24235 In base 11, what is -396 + 239455? 23906a In base 2, what is -111100101 + 100111010000100? 100110010011111 In base 3, what is -1002100001 - -20? -1002022211 In base 9, what is -112 - -174476? 174364 In base 14, what is 33db + -d389? -9d8c In base 2, what is -1000011100110110110110010 - 11? -1000011100110110110110101 In base 12, what is 5b55a01 - -16? 5b55a17 In base 5, what is 141112 - -11312? 202424 In base 16, what is 7 + 87ad8c? 87ad93 In base 13, what is 135188 + 6a? 135225 In base 7, what is 361350 + -10551? 350466 In base 9, what is 2640166 - 5? 2640161 In base 16, what is a1a0 + -9d? a103 In base 9, what is 11 - -604215? 604226 In base 9, what is 20 - -11173158? 11173178 In base 4, what is -1022 + -213211012231? -213211013313 In base 7, what is -12423 - 244660? -260413 In base 13, what is ac5b4 + 22? ac606 In base 4, what is 110113221111 - 2? 110113221103 In base 6, what is 2150351141 + 5? 2150351150 In base 2, what is -100 - 110101110011000100111010110? -110101110011000100111011010 In base 9, what is -46
{ "pile_set_name": "DM Mathematics" }
hundred thousands digit of 12111590? 1 What is the hundreds digit of 359493? 4 What is the thousands digit of 70494? 0 What is the hundred thousands digit of 3769971? 7 What is the ten thousands digit of 262361? 6 What is the tens digit of 1293284? 8 What is the thousands digit of 116484? 6 What is the tens digit of 11231471? 7 What is the millions digit of 37171423? 7 What is the hundreds digit of 799586? 5 What is the hundreds digit of 49383? 3 What is the units digit of 79853? 3 What is the units digit of 5406256? 6 What is the hundred thousands digit of 524554? 5 What is the millions digit of 10570688? 0 What is the hundreds digit of 3056591? 5 What is the units digit of 2816869? 9 What is the ten thousands digit of 1854767? 5 What is the hundred thousands digit of 494619? 4 What is the tens digit of 731080? 8 What is the units digit of 1309702? 2 What is the thousands digit of 1239312? 9 What is the thousands digit of 60223? 0 What is the thousands digit of 4008245? 8 What is the hundreds digit of 806969? 9 What is the hundred thousands digit of 490868? 4 What is the hundred thousands digit of 1434464? 4 What is the hundreds digit of 3086540? 5 What is the thousands digit of 8423563? 3 What is the millions digit of 7038984? 7 What is the tens digit of 321682? 8 What is the units digit of 1818798? 8 What is the millions digit of 14199745? 4 What is the hundred thousands digit of 408297? 4 What is the hundred thousands digit of 703676? 7 What is the tens digit of 406479? 7 What is the hundreds digit of 22831841? 8 What is the ten thousands digit of 7170200? 7 What is the hundred thousands digit of 172208? 1 What is the hundreds digit of 34928770? 7 What is the ten thousands digit of 1224710? 2 What is the hundred thousands digit of 708055? 7 What is the hundreds digit of 2233174? 1 What is the millions digit of 1476736? 1 What is the units digit of 3719561? 1 What is the units digit of 405750? 0 What is the thousands digit of 30693584? 3 What is the hundreds digit of 752364? 3 What is the thousands digit of 394323? 4 What is the hundred thousands digit of 11336742? 3 What is the hundreds digit of 870638? 6 What is the thousands digit of 5890810? 0 What is the ten thousands digit of 253908? 5 What is the tens digit of 953630? 3 What is the millions digit of 4665892? 4 What is the millions digit of 26983041? 6 What is the thousands digit of 8098160? 8 What is the thousands digit of 406669? 6 What is the thousands digit of 4698? 4 What is the ten thousands digit of 417182? 1 What is the thousands digit of 240560? 0 What is the units digit of 4836016? 6 What is the millions digit of 2385331? 2 What is the tens digit of 191616? 1 What is the ten thousands digit of 810485? 1 What is the hundred thousands digit of 404595? 4 What is the hundreds digit of 1189986? 9 What is the thousands digit of 340193? 0 What is the tens digit of 2392398? 9 What is the hundreds digit of 233404? 4 What is the thousands digit of 532044? 2 What is the units digit of 2813864? 4 What is the ten millions digit of 41392044? 4 What is the ten thousands digit of 377842? 7 What is the hundred thousands digit of 2202659? 2 What is the millions digit of 3696959? 3 What is the tens digit of 5168562? 6 What is the units digit of 18381562? 2 What is the thousands digit of 140795? 0 What is the tens digit of 13498786? 8 What is the ten thousands digit of 14252034? 5 What is the thousands digit of 160704? 0 What is the units digit of 1294? 4 What is the millions digit of 2357762? 2 What is the hundreds digit of 83607? 6 What is the tens digit of 4459111? 1 What is the units digit of 7095517? 7 What is the millions digit of 5522175? 5 What is the tens digit of 100372? 7 What is the units digit of 9732572? 2 What is the tens digit of 362070? 7 What is the tens digit of 96969? 6 What is the tens digit of 1131771? 7 What is the units digit of 986856? 6 What is the millions digit of 30911506? 0 What is the ten thousands digit of 346992? 4 What is the hundred thousands digit of 198866? 1 What is the tens digit of 108194? 9 What is the hundred thousands digit of 1078507? 0 What is the units digit of 5033359? 9 What is the ten thousands digit of 74713? 7 What is the tens digit of 732588? 8 What is the ten thousands digit of 22182758? 8 What is the hundred thousands digit of 2370125? 3 What is the hundred thousands digit of 6200814? 2 What is the hundred thousands digit of 710218? 7 What is the hundreds digit of 415332? 3 What is the hundred thousands digit of 924554? 9 What is the ten thousands digit of 1069610? 6 What is the ten thousands digit of 4057012? 5 What is the hundred thousands digit of 180547? 1 What is the units digit of 11962675? 5 What is the millions digit of 26626521? 6 What is the hundred thousands digit of 214513? 2 What is the ten thousands digit of 1326316? 2 What is the tens digit of 2302725? 2 What is the units digit of 1617215? 5 What is the hundred thousands digit of 258356? 2 What is the tens digit of 1683777? 7 What is the millions digit of 13100257? 3 What is the ten thousands digit of 2427922? 2 What is the millions digit of 8671836? 8 What is the hundreds digit of 1098281? 2 What is the hundreds digit of 5449672? 6 What is the hundreds digit of 548405? 4 What is the ten thousands digit of 3554274? 5 What is the ten thousands digit of 588751? 8 What is the tens digit of 1452192? 9 What is the thousands digit of 487716? 7 What is the hundred thousands digit of 7756689? 7 What is the ten thousands digit of 4059532? 5 What is the thousands digit of 1880116? 0 What is the ten thousands digit of 420934? 2 What is the hundreds digit of 1455988? 9 What is the ten thousands digit of 331826? 3 What is the millions digit of 2088738? 2 What is the ten thousands digit of 666778? 6 What is the thousands digit of 1029317? 9 What is the hundred thousands digit of 19716190? 7 What is the tens digit of 1007242? 4 What is the tens digit of 643943? 4 What is the ten thousands digit of 95453? 9 What is the hundreds digit of 2814353? 3 What is the hundred thousands digit of 402352? 4 What is the ten thousands digit of 1100825? 0 What is the thousands digit of 1765715? 5 What is the thousands digit of 211331? 1 What is the hundreds digit of 489902? 9 What is the ten thousands digit of 125484? 2 What is the units digit of 2356775? 5 What is the tens digit of 3533206? 0 What is the units digit of 188864? 4 What is the hundred thousands digit of 517475? 5 What is the ten thousands digit of 13883? 1 What is the thousands digit of 331155? 1 What is the hundred thousands digit of 354391? 3 What is the hundreds digit of 87440? 4 What is the thousands digit of 7656362? 6 What is the hundreds digit of 10944? 9 What is the ten thousands digit of 373497? 7 What is the units digit of 8713702? 2 What is the millions digit of 5165408? 5 What is the units digit of 5744485? 5 What is the thousands digit of 562098? 2 What is the thousands digit of 5236291? 6 What is the hundred thousands digit of 606703? 6 What is the thousands digit of 4238610? 8 What is the hundred thousands digit of 305834? 3 What is the tens digit of 20938337? 3 What is the ten millions digit of 12912318? 1 What is the tens digit of 2605410? 1 What is the thousands digit of 5966540? 6 What is the hundreds digit of 248361? 3 What is the hundreds digit of 94706? 7 What is the units digit of 1392867? 7 What is the hundred thousands digit of 1665406? 6 What is the ten millions digit of 36042416? 3 What is the tens digit of 201638? 3 What is the hundred thousands digit of 1082471? 0 What is the tens digit of 1571901? 0 What is the thousands digit of 2427533? 7 What is the ten thousands digit of 5130637? 3 What is the units digit of 1565246? 6 What is the tens digit of 1574033? 3 What is the millions digit of 2227801? 2 What is the millions digit of 4703245? 4 What is the hundred thousands digit of 275474? 2 What is the ten thousands digit of 971458? 7 What is the hundred thousands digit of 404239? 4 What is the thousands digit of 939755? 9 What is the hundred thousands digit of 268107? 2 What is the units digit of 232576? 6 What is the thousands digit of 28170617? 0 What is the ten thousands digit of 12975069? 7 What is the mi
{ "pile_set_name": "DM Mathematics" }
ided by 71 -6/71 Divide -3346 by -478. 7 Calculate -1620 divided by -4. 405 Divide 1 by 56. 1/56 3682 divided by 1 3682 876 divided by -6 -146 3732 divided by -933 -4 What is 2 divided by 129? 2/129 Divide 21 by -27. -7/9 What is -1495 divided by 65? -23 Calculate -29520 divided by -1230. 24 Divide -2760 by -120. 23 What is 6 divided by 30? 1/5 Divide -564 by -4. 141 What is -939 divided by -1? 939 Calculate 140 divided by -1. -140 What is -143 divided by -4? 143/4 What is -638 divided by 58? -11 What is -70 divided by -58? 35/29 Calculate 11 divided by 56. 11/56 What is -28220 divided by 5? -5644 Calculate 25 divided by -23. -25/23 Divide 4 by 727. 4/727 What is 1015 divided by 203? 5 What is 75 divided by 13? 75/13 What is -252444 divided by 4? -63111 Divide -2 by 5. -2/5 1351 divided by -5 -1351/5 -500 divided by -2 250 Calculate 3667 divided by -3. -3667/3 What is 8212 divided by -2? -4106 1674 divided by -279 -6 What is 0 divided by -1002? 0 192 divided by -24 -8 Calculate -1 divided by 69. -1/69 Divide -5 by -14. 5/14 Calculate 558 divided by -3. -186 What is -280 divided by 28? -10 Calculate -59 divided by 59. -1 Divide -2 by -63. 2/63 32 divided by -17 -32/17 Calculate 1692 divided by 36. 47 Divide -4 by -1286. 2/643 Divide 75 by -5. -15 Divide 1572 by 4. 393 Calculate -47 divided by -18. 47/18 What is 1764 divided by 252? 7 Divide 7858 by 2. 3929 Divide -5 by 3167. -5/3167 Calculate -60 divided by -27. 20/9 Divide 172 by 86. 2 Calculate 62 divided by -2. -31 Calculate 3212 divided by -11. -292 What is -18752 divided by -1172? 16 -811 divided by -1 811 Divide -430 by -4. 215/2 Calculate 13 divided by 37. 13/37 Calculate 1 divided by 536. 1/536 Divide 674 by 1. 674 Divide 436 by 7. 436/7 Divide 148 by -5. -148/5 -17157 divided by -7 2451 Calculate 682 divided by -2. -341 -2990 divided by 299 -10 Calculate 4551 divided by -37. -123 Calculate -53 divided by -8. 53/8 What is -1440 divided by -16? 90 Divide -32 by -204. 8/51 Divide 1222 by -13. -94 1444 divided by 2 722 What is 78 divided by 13? 6 Divide 1 by 50. 1/50 What is -754 divided by -13? 58 Calculate 180 divided by -10. -18 Divide 8 by 47. 8/47 Calculate -150 divided by -30. 5 Calculate 944 divided by -4. -236 Divide 27 by 3. 9 Divide -6380 by -6380. 1 What is -36 divided by 18? -2 0 divided by -455 0 -2 divided by -45 2/45 What is 55 divided by 55? 1 What is -8778 divided by 798? -11 What is -114 divided by 114? -1 Calculate -625 divided by -7. 625/7 Divide 132 by -44. -3 Divide -30 by 6. -5 -258 divided by -2 129 Calculate 0 divided by 21. 0 Calculate -115 divided by -49. 115/49 Divide -10 by -5. 2 Divide -6468 by 1617. -4 Divide 14510 by -1. -14510 Calculate -5 divided by -4494. 5/4494 11725 divided by 25 469 Divide 1523 by 5. 1523/5 What is 796 divided by 4? 199 -256 divided by 32 -8 Divide -1497 by -5. 1497/5 Divide 191 by 2. 191/2 -980 divided by -196 5 Divide -1794 by 13. -138 Calculate -103 divided by -4. 103/4 Calculate -78 divided by -3. 26 1868 divided by 5 1868/5 Calculate 5056 divided by 632. 8 Calculate 2 divided by 176. 1/88 What is 4314 divided by -1? -4314 Calculate 8280 divided by 12. 690 Divide 3 by -18. -1/6 -51 divided by -17 3 What is 36192 divided by 174? 208 -4 divided by -46 2/23 Calculate 9 divided by 967. 9/967 255 divided by -3 -85 What is -434 divided by -7? 62 What is -390 divided by -5? 78 440 divided by -88 -5 Divide -4 by 309. -4/309 What is -45 divided by 93? -15/31 2314 divided by 1157 2 What is -49 divided by -1? 49 Calculate -363 divided by -121. 3 Divide -6252 by -4. 1563 1650 divided by 5 330 140 divided by 1 140 2604 divided by 651 4 310 divided by 1 310 61 divided by -7 -61/7 1 divided by -1683 -1/1683 Calculate -589 divided by -19. 31 Calculate 70 divided by 5. 14 -531 divided by -4 531/4 2228 divided by 10 1114/5 What is 7 divided by 114? 7/114 0 divided by -796 0 What is 6910 divided by -2? -3455 Calculate 5 divided by 51. 5/51 6501 divided by 3 2167 Calculate 251 divided by 6. 251/6 Divide -240 by 80. -3 Divide 1200 by -5. -240 Divide -16668 by 4. -4167 Calculate 144 divided by 24. 6 What is 2483 divided by 2483? 1 -3 divided by -1508 3/1508 Calculate -87 divided by -87. 1 Calculate -585 divided by 1. -585 -2 divided by 85 -2/85 What is -50 divided by -5? 10 Divide 105 by 18. 35/6 What is 1243 divided by -1243? -1 Divide -12 by -3. 4 What is 0 divided by -234? 0 -4308 divided by -1436 3 Divide 68 by 48. 17/12 Calculate -1696 divided by -2. 848 Divide -12 by 26. -6/13 What is 352 divided by 88? 4 What is -295 divided by -59? 5 Divide 7908 by -6. -1318 -303 divided by -303 1 What is -684 divided by -38? 18 What is -7444 divided by -1861? 4 What is 948 divided by -4? -237 -1772 divided by -5 1772/5 What is -1168 divided by -3? 1168/3 90 divided by 2 45 240 divided by -15 -16 Divide -5735 by -5. 1147 Divide -39 by 1. -39 Calculate -735 divided by 5. -147 What is 178 divided by 15? 178/15 Calculate -1620 divided by -540. 3 What is 20 divided by 4? 5 -1768 divided by 1 -1768 What is 2 divided by 50? 1/25 Divide -19795 by -5. 3959 What is -64 divided by -3? 64/3 What is 182 divided by 12? 91/6 What is 155 divided by 40? 31/8 -3750 divided by 150 -25 Divide -406 by -406. 1 105 divided by 1 105 Divide 190 by -2. -95 Divide -30 by 8. -15/4 Divide 7 by -159. -7/159 Calculate -40245 divided by -8049. 5 What is 21465 divided by -7155? -3 -16545 divided by -3309 5 What is 77 divided by -11? -7 Calculate -354 divided by 59. -6 9 divided by 1 9 2365 divided by 55 43 Divide 4797 by -117. -41 Divide 1228 by -5. -1228/5 What is 2 divided by -11? -2/11 Calculate -19 divided by 5. -19/5 Calculate -145 divided by -5. 29 Divide -56 by -28. 2 Divide 576 by 192. 3 What is -1 divided by 212? -1/212 4 divided by 41 4/41 Divide -30 by 6. -5 What is -922 divided by 922? -1 Divide 3 by 345. 1/115 Divide -306 by -6. 51 Divide -5 by -405. 1/81 218 divided by 218 1 -15 divided by 16 -15/16 -58 divided by -12 29/6 Divide -3435 by 1145. -3 What is 3 divided by -59? -3/59 What is 95 divided by 95? 1 -4847 divided by 4 -4847/4 What is -291 divided by -3? 97 -1485 divided by 27 -55 Calculate 5 divided by 2381. 5/2381 Calculate 1728 divided by 96. 18 What is -313 divided by -3? 313/3 Divide -79 by -2. 79/2 -18 divided by 27 -2/3 Divide -442 by -4. 221/2 11 divided by -637 -11/637 -4 divided by -1337 4/1337 Calculate -11964 divided by -6. 1994 Calculate 4403 divided by 17. 259 -5160 divided by 20 -258 Calculate 2 divided by -703. -2/703 306 divided by -51 -6 Calculate -61 divided by -61. 1 What is -10 divided by -54? 5/27 Calculate 11799 divided by -1311. -9 122 divided by 2 61 Calculate 3 divided by 245. 3/245 What is 836 divided by 2? 418 Calculate 62328 divided by 6. 10388 10048 divided by 4 2512 1404 divided by -4 -351 0 divided by -47 0 What is -1701 divided by 5? -1701/5 Divide -1074 by 2. -537 Divide -888 by -4. 222 Divide -8892 by 9. -988 Divide -3375 by -27. 125 What is 70 divided by -17? -70/17 Divide 62640 by 6. 10440 What is -2980 divided by -2? 1490 Divide -14 by 6. -7/3 3 divided by 33 1/11 32 divided by -977 -32/977 What is 11 divided by 85? 11/85 160 divided by 2 80 -48 divided by 31 -48/31 What is -1 divided by -132? 1/132 What is 4 divided by 14? 2/7 What is -18 divided by 3? -6 What is -240 divided by 60? -4 What is -9 divided by 207? -1/23 Divide -573 by 573. -1 What is -5 divided by 116? -5/116 Calculate 664 divided by 23. 664/23 -42 divided by 42 -1 What is 3 divided by 150? 1/50 29744 divided by -4 -7436 What is 125 divided by 5? 25 What is -4296 divided by -1? 4296 What is 4 divided by -49? -4/49 Divide -2314 by 178. -13 -174 divided by 4 -87/2 Calculate -636 divided by -3. 212 Calculate 3312 divided by -414. -8 What is 1786 divided by -38? -47 -8 divided by 7 -8/7 159 divided by -7 -159/7 What is 1 divided by -17? -1/17 -660 divided by -165 4 Calculate -19 divided by 20. -19/20 Divide 291 by 97. 3 3342 divided by 2 1671 What is 2 divided by -66? -1/33 Calculate 20298 divided by -34. -597 Divide 4 by 1611. 4/1611 What is -5 divided by 1? -5 4 divided by -331 -4/331 What is -68 divided by 1? -68 1767 divided by 3 589 83 divided by -10 -83/10 Calculate 1038 divided by -6. -173 Calculate -272 divided by -2. 136 What is -966 divided by -161? 6 What is
{ "pile_set_name": "DM Mathematics" }
Solve -6*y = -2*y + k - p, 0 = 5*y - 5*k for y. 3 Suppose -3*z = -3*z - 4*z. Solve 3*a - y - 12 - 3 = z, 0 = 4*y for a. 5 Suppose 0 = 2*n - 4*n. Suppose -3*k - 7 = 3*g - 46, n = 2*k - g - 26. Let z(h) = -h**2 + 12*h + 15. Let y be z(13). Solve v + 11 = y*o, o + o - k = 3*v for o. 5 Let k(z) = -2*z**2 - z + 19. Let i be k(-3). Solve -i*f - 4*y + 11 = -9, -2 = -y for f. 3 Suppose -5*x - 1 = d + 2*d, -3*d + 3 = 3*x. Solve d*a - 16 = -7*l + 3*l, -4*a + 5*l - 20 = 0 for a. 0 Suppose -14*h + 117 = 47. Solve -f = -b + h, -b + 4*f = 6*f - 2 for b. 4 Let n(s) = 2*s - 19. Suppose -38 = -3*u - 5. Let r be n(u). Solve -r*d - 20 = 5*v - 6, 5*d + 6 = -4*v for d. 2 Suppose -691*j - 12 = -697*j. Solve 0*c = -j*c + 2*t, 3*c + 5 = 2*t for c. -5 Let r(g) = -g + 5. Suppose 0*l = 3*l. Let t be r(l). Suppose m = -t*m + 90. Solve 5*b + m = -5*u, -5*b + 1 = 6 for u. -2 Let u = -87 + 92. Solve -3*y - y + 5*h = 6, u = y + 2*h for y. 1 Let p be (8/3)/((-104)/(-156)). Solve 0*y + 3*y = -3*d - 6, 0 = d - p*y + 2 for d. -2 Let m be ((1 - 1)*-1)/1 + 2. Let n(s) = -8*s - 1. Let a be -1*4*(-3)/(-6). Let x be n(a). Solve -3*c - m*r + 2 = 5, -x = 5*r for c. 1 Suppose -53*b + 19*b = -19*b. Solve 0 = 4*g + c - 0*c + 19, b = -3*g + 4*c for g. -4 Let n = 43 - 38. Let w(f) = 3*f**3 - f**2 + f - 1. Let m be w(1). Solve x + 4 = 3*x - m*b, n*b = 2*x + 2 for x. 4 Suppose 55*w - 49*w = 210. Solve 16 = c + 4*x, 5*c - w = -x - 12 for c. 4 Let h = -161 - -125. Let c = -33 - h. Solve -3*m = 2*d + d + 3, c*d = -m + 1 for d. 1 Suppose 2*n = 3*n. Let j = 169 - 174. Let r = n - j. Solve 4*w - r*a = -32 + 5, 2*a = -3*w - 3 for w. -3 Let r be (-252)/693*(-22)/4. Solve 2*p + 9 = -r*v - 9, 2*p = -5*v - 30 for v. -4 Let z(i) = 2*i**2 + 38*i - 8. Let d be z(-20). Solve -3*n = -4*u + d, -n + 26*u - 31*u + 21 = 0 for n. -4 Suppose 3*f - 3*m + 0*m = 21, 2*f + 1 = -m. Solve f*y - 4*b = 4, 2*b = 4*y + y - 10 for y. 2 Suppose 45*q - 12 = -3*j + 49*q, -4*j + 38 = 2*q. Solve -6*x + 10*x - 5*f = 1, -5*x - j = 3*f for x. -1 Let y(s) = s**3 - 6*s**2 - 15*s - 2. Let f be y(8). Let l(q) = q**3 - 5*q**2 - 7*q + 14. Let n be l(f). Solve -5*x = -3*u + 8, 4*u = -x - n - 12 for x. -4 Let b(g) = -g + 3. Let i be b(-9). Suppose -i*z = -2*z - 40. Solve 2*q + q = -3*d - 12, -5*q - 29 = -z*d for d. 1 Let o be 2/(8/36 - 7/(-9)). Solve -4*x + o*x - 1 = -d, -3 = 3*d - 3*x for d. -3 Let i(j) = -j + 10. Let q(u) = -u**3 - 10*u**2 - 10*u - 5. Let s be q(-9). Let d be i(s). Solve 0 = r - 2*c + 4, -r - c - 1 = -d for r. 2 Let w be 36/3*(-3)/(-9). Solve -z + 3*m - 17 = 0, -2*z - 5*m = -w*z - 29 for z. -2 Suppose 0 = l - 5*d - 43, 5*l - 22 = d + 73. Solve -4*g - 10 - 2 = 0, 3*y + 5*g = -l for y. -1 Let t(s) = -s**3 - 3*s**2 + 9. Let b be t(-2). Solve 0*l = 2*l + 2*h + 2, b*h + 12 = 2*l for l. 1 Let q(a) = 3*a**2 - 11*a - 11. Let l(x) = -2*x**2 + 5*x + 5. Let m(j) = 5*l(j) + 3*q(j). Let u be m(-6). Solve h + 20 = 4*k + 2*h, -u = -3*k + 2*h for k. 4 Let p be (-18)/(-18)*(-1 - -4). Solve p*l + 6 = -0, 0 = 3*n - 4*l - 5 for n. -1 Let t(r) = -r**3 + 3*r**2 - r + 15. Let b be t(0). Solve 3*k + k = -4*g - 16, 2*g - 5*k = -b for g. -5 Let l be (9 + 45/(-6))/((-6)/(-20)). Solve -l*i + 12 = -j + 2*j, 3*i - 3*j = 0 for i. 2 Suppose 3*w - p = 2*w + 2, 5*w + 4*p = 10. Suppose k + 2 + 1 = -w*v, 4*v + 20 = 0. Let s = -4 + k. Solve 0 = -s*j - j + 2*t + 18, 5*t = -3*j - 6 for j. 3 Let p(a) = 4*a**2 - a + 3. Let m be p(-2). Let q = m + -19. Solve 2*x - 2 = -q*r + x, 4*r - 16 = -5*x for r. -1 Suppose -12 = -3*g, g + 36 - 10 = 5*z. Solve 0 = -2*v - 2*x - 6, v + 5*x - x = -z for v. -2 Let w(r) = -106*r - 314. Let s be w(-3). Solve 2*n - q = 5, s*n - 5*q + 1 - 8 = 0 for n. 3 Suppose 6*i = -i - 42. Let t = -1 - i. Solve -3*b - t*a = -9, a = 2*b + 2*a + 1 for b. -2 Suppose 3*g - 4*k = -8, 0 = g - 3*g + 5*k - 17. Suppose -5*p - 10 = -5*h, -g*p + h + 1 = -0*h. Solve 4*i + 4*l = 24, 5*l - 5 = 3*i + p for i. 3 Suppose 15*k - 19*k = 0. Suppose 4*j - 4 + k = 0. Let l(z) = z**3 - 1. Let x be l(j). Solve 5*d - u - u + 14 = x, -2*d - 17 = 3*u for d. -4 Let d = 11 - 7. Solve d*j - 33 + 1 = 3*f, 30 = 2*j - 5*f for j. 5 Suppose -95*g + 127 = -158. Solve g*t - 5*t - 2*f = 14, 11 = 2*t - 3*f for t. -2 Suppose r + 31 = 35. Solve -5*y - 13 = 4*i + 9, 0 = -2*i + r*y + 2 for i. -3 Let b = -2306 + 2311. Solve 3*c - 13 = -5*q - 3, -c - b*q + 20 = 0 for c. -5 Suppose 4*t - 4 + 16 = 0. Let r = t + 7. Solve -4*g - 8 = 0, 3*q + g = -10 - r for q. -4 Let r be (2/3)/(1/3). Suppose 0 = -120*u + 128*u - 24. Solve 2*o - 10 = -0*o, 0 = -u*d + r*o - 10 for d. 0 Suppose -3*i = d - 26, -d = 22*i - 26*i + 37. Solve 0 = -2*p - 5*z + i, -11 = -4*p - z - 2 for p. 2 Let g be -10 - -1 - (-20 + -7). Let w(v) = v. Let r be w(7). Let z = g - r. Solve 5*b + z = p, 4*p = 2*b - 0*b + 8 for p. 1 Suppose -26 = -w + 2*i, 2*i + 0 = -w + 10. Suppose 0 = -10*j + 8*j + w. Solve -2*h - 3*v = 3, 2*v = -v - j for h. 3 Suppose 4*x = 28*u - 25*u + 18, 4*u - 1 = -3*x. Solve 2*w = 3*o - 9, -3 = -0*w + 4*w - x*o for w. 3 Suppose -2 - 2 = -y. Solve -3*p + y = -2*p, -3*p + 7 = -5*k for k. 1 Let m(t) = -2*t**2 - 24*t - 20. Let w be m(-10). Solve -r + 5*r = 4*s - 16, -5*s = -4*r - w for r. 0 Let n = 137 - 135. Let v be ((-32)/(-56) - (-8)/(-14))/2. Solve v = 4*u + 5*z + 32, n*u + 1 = -u + 2*z for u. -3 Let r be 0/(-2 - 9/(-3)). Suppose 7*o - 9 = 4*o. Suppose r = -5*i - 20, -4*i = -o*u - 2*i + 20. Solve -4*b + 4 + 10 = -2*d, -5*d - 23 = -u*b for d. -3 Let s(p) = -3*p**2 + 50*p - 28. Let k be s(16). Solve v + 4 = -j + k*j, 3*v - 5*j = -4 for v. 2 Let t(v) = v + 11. Let c be t(-8). Suppose -3*a = 5*p, -3*a = -c*p + 3 + 21. Let r be -1*2*(-3)/((-18)/(-57)). Solve m - 2 = z, -m - p*z + r = m for m. 5 Let g be ((-7)/((-28)/32) - -2)*1. Suppose g = -0*y + 5*y. Solve 3*b - 6 = y*o, 0 = 6*b - 3*b + 3*o - 21 for b. 4 Suppose 0 = -3*j - 53 + 200. Let w = j - 20. Suppose 4*b - w - 39 = 0. Solve s + 5*v + b = 6, 3*s - v = -1 for s. -1 Let a = -2 - -2. Suppose a = -b - 5*b. Solve -5*q + p + 2 = b, 2*q + 2*p + 2*p - 14 = 0 for q. 1 Let f be (-2 - (-100)/45) + 2/(-9). Solve 2*n - 5*c + 30 = f, -2*n - 5*c + 25 = -3*n for n. -5 Let b = 495 - 490. Solve 4*t + 6 = b*g, -g + 3*t + 0*t = -10 for g. -2 Let z be (69/46)/(4/(48/9)). Solve -3*s - 3 = -z*u, -2 + 0 = 4*u + 2*s for u. 0 Let t(h) = -h**2 + 20*h - 62. Let f be t(16). Solve -3*j + 0*j = y + f, 0 = -5*j + 2*y - 7 for j. -1 Let m = 16 + -10. Suppose -5*r + 4*k + 52 = m, -r - 2*k = 2. Suppose -2*z = z - 15. Solve -4*s = 12, r*y - y + z*s + 35 = 0 for y. -4 Suppose -9 = -6*i + 3. Suppose -4*r + 38 = 2*d, i*d = -5*r + 3 + 46. Suppose 4*c = 5*c - 4. Solve 3*y + c*n = -3 + r, -13 = -3*y + n for y. 4 Suppose -2*d + 18 + 4 = 0. Suppose -14 = 3*x + 1, 0 = -4*b - 3*x - d. Let z be -1 + (-1 - (b + -3)). Solve 0 = -5*j - 3*k - 12, z*j - 8 = -2*j + 2*k for j. 0 Suppose -470 = -30*q - 17*q. Solve -a = 2*p + 4, 3*a + 2 = -p - q for a. -4 Suppose 3*z - 175 = -32*z. Solve 4*k = j - 5*j + 16, 4*j = z*k - 20 for j. 0 Suppose -q + 15 = -9. Suppose 5*v - 5*g - 15 = 0, -5*v - g = 3*g - q. Suppose 0*l = v*l - 104. Solve 0 = 2*h + 10, 2*h + 3*h + l = a for a. 1 Let v = 9 + -7. Suppose 0 = -2*x - c + 3*c + 14, x + v*c + 5 = 0. Let u = -4 + 6. Solve u*y = m + 3*m + 14, 9 = x*y for m. -2 Suppose v - 22 = -4*r, 4*v - 20 = 3*r + 30. Solve 0 = 2*a - f + 5*f - v, -5*f = -3*a - 12 for a. 1 Let b be ((-65)/(-15) - 5)*3*-1. Solve 0 = 5*m - b*i - 15, i + 9 = -0*m + 4*m for m. 1 Suppose 5*n = -3*y + 1, 2*n - 5 - 14 = 5*y. Solve 0 = -b - 0*b, -b - 2 = n*d for d. -1 Let m(s) = -s**3 + 11*s**2 + 26*s + 14. Let r be (3/2)/((-24)/(-208)). Let b be m(r). Solve -2*w + 4*a + b = 0, -3*w + 3*a = -7*w - 16 for w. -1 Let n be (-16)/(-2) - 148/37. Solve 5*y - 3*d = -8, -5*y - d - n*d = 40 for y. -4 Let f = -1313 - -1333. Solve -3*j = t + 2*j + f, -5*t - 34 = 3*j for t. -5 Let f(o) = o - 6. Let b be f(9). Suppose 0*h = h - b. Solve -h*a = -5*u - 22, -5*a + 13 = -7 for u. -2 Suppose -c - 4 = -2*o, 4*c + 36*o = 35*o + 20. Solve y - 2*y + 4*t = -9, c*t = -4 for y. 5 Suppose 3*h + l = 31, 0 = 4*h + 3*l - 64 + 16. Let s be (-200)/(-32) + (-6)/(-8). Solve -2*j - 3*v + h = j, -4*v = -j - s for j. 1 Let w = 16 + -24. Let u = 12 + w. Suppose -2*a + 7*i - 3*i + 20 = 0, u*i = -4*a + 4. Solve -a*c - 20 = 5*k, 5*c = 5*k - 6*k - 25 for k. 0 L
{ "pile_set_name": "DM Mathematics" }
. Let k(a) = -a**2 + 5*a**2 + t + a**2 - 3*a - 3*a**2. Calculate k(2). 5 Let r(v) = 2*v**3 - 15*v**2 - 3*v + 5. Let t be 4/1*(-6 + -4). Let y be 6/4*t/(-12). Let b(h) = h**3 - 7*h**2 - h + 2. Let q(u) = y*b(u) - 2*r(u). What is q(5)? 5 Suppose -1 + 5 = 4*h. Let i(m) = -15*m**2 + m. Give i(h). -14 Let b(d) be the second derivative of 0 - 2*d - 7/2*d**2 - 2/3*d**3. Let z(i) = -i - 2. Let x(j) = -2*b(j) + 7*z(j). Give x(0). 0 Let m(q) = -q - 1. Let f be m(-5). Let w = 0 - f. Let x(t) = 2*t + 6. What is x(w)? -2 Let j(t) = -3 + t - 3*t**2 - 5*t + 2 + t**2. Give j(-4). -17 Let z(j) = 2*j**2 - 2*j + 6*j**3 + 5*j**3 - 3*j - 10*j**3 - 4. Let o be (6/8)/((-1)/4). Determine z(o). 2 Let z(j) = -j. Let n be z(-4). Suppose 0 = -0*v - 2*v + n. Let r(s) = v*s - 3*s**2 + 0*s**2 + 0*s. What is r(2)? -8 Let k(u) = -u**3 + 6*u**2 + 6*u. Let n = -5 + 12. Calculate k(n). -7 Let y(u) = -u. Let h = 8 - 3. Let s be h + -2 - 6 - -1. Give y(s). 2 Let v(k) = 4*k**3 + 1. Let p = -14 + 2. Let c be (-6)/21*42/p. What is v(c)? 5 Let x = -19 - -19. Let c(i) be the second derivative of 0*i**2 + x + 1/12*i**4 + i + 3/20*i**5 - 1/6*i**3. Calculate c(1). 3 Suppose -5*n + 4*s = 0, 3*n - 4 = 5*s + 9. Let x(r) = r. What is x(n)? -4 Let g = 2 + 0. Let h = 2 - 0. Let u(l) = -4*l + h - l**3 + l - l + 5*l**2. Give u(g). 6 Let k = 6 + 1. Suppose 3*v + 2 = -k. Let x(g) = -3*g**2 - g + 7. Let t(c) = -c**2 + 3. Let m(q) = -5*t(q) + 2*x(q). Give m(v). -4 Let f = -13 + 6. Let c(l) = -l**3 + l**2 - 1. Let p be c(-2). Let j = p + f. Let y(i) = -2*i + 6. Calculate y(j). -2 Let w = 18 - 15. Let u(o) be the first derivative of 1 - o - 5/3*o**w - 2*o**2 - 1/4*o**4. What is u(-4)? -1 Let h(j) = 3*j**2 + 2*j + 12. Let a(u) = 4*u**2 + 3*u + 13. Let i(l) = -2*a(l) + 3*h(l). Suppose 4*s + 5*y = -10, s - 4*y = -y + 6. What is i(s)? 10 Let y(v) be the first derivative of -v**6/120 - v**4/24 - v**3 + 2*v**2 + 5. Let a(o) be the second derivative of y(o). Calculate a(0). -6 Let x be (-1)/(-1 + (-8)/(-10)). Let a(d) = 0 + 2 + d**2 - x + 4*d. Suppose -3*v - 15 = -2*z, -6 = -3*z + z. Give a(v). -6 Let n(c) = -c**3 + 3*c**2 + 4*c + 3. Let s be n(4). Let h(i) = -i**2 + i + 1. Let p(g) = -g**3 - 10*g**2 - 4*g - 6. Let k(x) = s*h(x) - p(x). What is k(-6)? 3 Let c(i) = 17*i - 31*i + 15*i + 5. Give c(-5). 0 Suppose 87*l - 10 = 89*l. Let f(j) = j**2 + 4*j + 1. Give f(l). 6 Let s(y) be the second derivative of -3/2*y**2 - 2*y + 0 + 1/6*y**3 + 1/12*y**4. Give s(0). -3 Suppose 4*b - 3*a - 20 = 0, 4*a + 3 = -3*b + 18. Let o(g) = 2*g - 2. Give o(b). 8 Suppose -4*r = 7*r + 44. Let p(j) = -5 - 2*j + j + 0*j. Calculate p(r). -1 Let u(l) = -l**3 - 3*l**2 + l - 2. Let y = -3 - 0. Calculate u(y). -5 Let y(o) = o**3 - 9*o**2 + 9*o - 12. Let m be y(8). Let w be (-1 + 1)*(-3)/(-9). Let j(q) = -4*q + 2*q + 0 + w. Give j(m). 8 Let o(c) = 2*c - 6. Let n(i) = i + 11. Let j be n(-5). What is o(j)? 6 Let j = -69 - -71. Let s(h) be the first derivative of -h**2/2 + 2*h + 1. Give s(j). 0 Let l(x) = -3*x**3 - 2*x + 4*x**3 + 2 - 8*x**2 + 4*x - 11. Let c be l(8). Let t(n) = -c + n + 9 + 1. Determine t(0). 3 Let u(t) be the first derivative of t**5/24 - t**4/12 - t**3 + 7. Let v(g) be the third derivative of u(g). Determine v(2). 8 Let s(r) = 10 + 2*r**3 - r**3 + r - 5. Let m = -1 + 6. Suppose m*d = d. Give s(d). 5 Let q be ((-8)/(-6))/((-3)/(-18)). Let n be -4*(-3 + 22/q). Let y(z) = -z**3 - z**2 - z + 1. Determine y(n). -2 Let k be 2*-1 - (10 + -14). Let i(z) = -181 - z**k + 4*z + 181. Give i(5). -5 Let n be -2 + 11 + -1 + -1. Let h = n + -4. Suppose -4*t = -5*o - 26, -5*o + 4 - 2 = h*t. Let x(m) = m - 2. Determine x(o). -4 Let w(k) = -2*k**2 + 14*k - 4. Let s(j) = j**2 - 7*j + 2. Let v(m) = -5*s(m) - 2*w(m). What is v(7)? -2 Let d(n) = -n. Let q be (-4)/6 + (-32)/(-12). Let b be 1*(0 + 0)/(-2). Suppose y + b = q. Calculate d(y). -2 Suppose 0 = -5*x + 2*n - 26, n = -2*x + 9 - 23. Let c(p) = -3*p + 4. Give c(x). 22 Let p(b) = 2*b - 2*b - 3*b - 9 + 4*b. Give p(9). 0 Let o(u) = 3*u - 13. Let i(l) = 2*l - 19. Let y be i(14). Determine o(y). 14 Let u(z) = -4*z**3 + 11*z**2 + 11*z + 5. Suppose 5*p + 0*p = -25. Let d(q) = q**3 - q**2 - q - 1. Let i(g) = p*d(g) - u(g). Calculate i(-5). 5 Let n(s) = s**3 + 10*s**2 - 13*s - 20. Let g be n(-11). Suppose 4*f - 11 - 5 = 0. Let q(v) = f*v + 0*v + v - v**2 - 3. Give q(g). 3 Let r(f) be the first derivative of f**2/2 + 49. Give r(-7). -7 Let a(v) = v - 2. Suppose -4*b = q - 28, 0 = -5*b - 5*q + 18 + 32. Calculate a(b). 4 Let h(d) = -8*d**2 - 1. Let t be 1/(5/(-8 - -3)). Give h(t). -9 Let w be (12/10)/(4/10). Let u(f) = -f**2 - f + 1. Let r(l) be the first derivative of 2*l**3/3 + 3*l**2 - l - 1. Let v(j) = w*u(j) + r(j). Give v(5). -8 Let b(j) be the third derivative of 5*j**4/24 + j**3 - 19*j**2 + 3*j. Give b(-6). -24 Let j(v) = -v. Suppose 0 = -10*a + 14*a - 4. Calculate j(a). -1 Let k be 2/(-1) + -10 + 5. Let s = k - -4. Let a(l) = -2*l - 3. What is a(s)? 3 Let l(q) be the third derivative of -q**7/504 - q**5/120 + q**4/24 - q**2. Let i(u) be the second derivative of l(u). Let f = 4 + -3. What is i(f)? -6 Let b(n) = 4*n. Let r(w) = -3*w. Suppose 6 = 3*x - 3*l - 3, 0 = -2*x + 4*l + 6. Let q(t) = x*b(t) + 3*r(t). What is q(2)? 6 Let l be 8/20*(5 + 0). Let x(t) = -3*t + 4 - 1 - t**l - 7. Let z = -9 + 5. Calculate x(z). -8 Suppose -i = 2*i - y + 3, -2*y = 4*i + 4. Let m(d) = d**3 - d**2 - d - 1. Let r(u) = 0*u + 2*u - 4*u**2 + u**2. Let p(a) = i*m(a) + r(a). Give p(-3). 1 Let o(h) = 5 + 2*h - 4*h**2 + 0*h + h**3 - 6*h + 2*h. Suppose 5*z = 2*m - 17, -2*m = 4*z + 2*m + 8. Let b = z + 7. What is o(b)? -3 Let l(o) = 3*o - 3 - 4*o + 1 - 2*o. Let d be ((-3)/9)/((-1)/6). Determine l(d). -8 Suppose 58 = -6*w + 16. Let d(f) = -f**3 - 6*f**2 + 7*f. What is d(w)? 0 Let w(q) = 7*q**2 + 15*q + 1. Let c(d) = 10*d**2 + 22*d + 1. Let u(o) = -5*c(o) + 7*w(o). What is u(-6)? -4 Suppose 2*o = 6*o + a + 28, 0 = o + 3*a + 7. Let y(u) = 3*u**2 + 28*u + 25. Let x(j) = -2*j**2 - 19*j - 17. Let k(t) = o*x(t) - 5*y(t). Give k(-6). 0 Let v(x) be the first derivative of -x**2/2 - 6. What is v(8)? -8 Suppose -4*s - 9 = -29. Let d(t) be the third derivative of -2*t**2 - 1/8*t**4 + 0 + 0*t + 1/60*t**5 - 2/3*t**3. Give d(s). 6 Let g(u) be the first derivative of -u**7/840 - u**6/60 - u**5/24 + 7*u**4/24 + u**3/3 - 3. Let h(t) be the third derivative of g(t). What is h(-5)? 7 Let l(u) be the first derivative of -u**4/8 + u**3/6 + 3*u**2/2 + 3. Let w(r) be the second derivative of l(r). Give w(-2). 7 Let u(v) be the first derivative of -1/3*v**3 - 5*v + 1 + 5/2*v**2. Calculate u(4). -1 Let p(c) be the second derivative of 1/20*c**5 + 5/6*c**3 - c**2 + 0 - 1/4*c**4 - c. Calculate p(3). 13 Let b(z) = 16*z + 2*z**2 - 2*z + 3 - 10*z. Calculate b(-3). 9 Let a(l) be the third derivative of -l**5/60 + l**4/12 + l**3/6 + 7*l**2. Calculate a(3). -2 Let n(w) be the second derivative of -1/2*w**4 - 9*w + w**3 - 7/2*w**2 + 0 + 1/20*w**5. Give n(5). -2 Suppose 4*l = 2*l + 26. Let v(c) = -c + 6. Let g(w) = -4*w + 12 + 2*w + 1. Let s(x) = l*v(x) - 6*g(x). Give s(4). -4 Let g(v) = -v**2 - 6*v + 7. Let b be g(-7). Let i(k) = k + b*k + k + 2*k + 4 + 2*k**2. Determine i(-3). 10 Let t = 3 + -1. Let a(c) = c + 7 - t - 5*c**2 - c**3 + c**2 + 5*c. Give a(-5). 0 Let i be (-2 - -1)*(-2 + 3). Let z = i + 0. Let x(q) = -2*q - 5*q**2 + 2*q. What is x(z)? -5 Let s = -5 + 7. Let b(g) be the third derivative of 1/6*g**3 + 0 + 1/60*g**6 + 3*g**2 + 0*g + 1/24*g**4 - 1/20*g**5. Calculate b(s). 7 Let r be (2/2)/(2/4). Suppose 2*t - 9 = -t. Let u(l) = -3*l**2 + l + t - l**3 + 6*l**2 - 4*l. Give u(r). 1 Let n(c) = c**3 - 6*c**2 - c + 5. Let j = -7 + 13. Give n(j). -1 Let m(a) = 3*a**2 + a - 2. Let x = 15 + -11. Let i(c) = -c**2 - c + 1. Let u(g) = x*i(g) + m(g). Calculate u(-4). -2 Suppose -5*z = 12 + 3. Let w(h) = -h - 9. Suppose -2*i + 6*i = 20. Let o(m) = 2*m + 17. Let r(n) = i*w(n) + 3*o(n). Give r(z). 3 Let n(k) = -k**3 + k**2 + k - 6. Let t = 4 + -1. Suppose -2*s = t*s. Calculate n(s). -6 Suppose 6 = 4*p - p. Let h(j) = 2*j + j - j**2 + 2*j**3 - 2 - j**3 + 6*j**p. Let k be -1 + (-1 - 1)/1. Give h(k). 7 Suppose 5*o = 2*o - 18. Let m(b) = -2*b - 8. Calculate m(o). 4 Let j(c) be the first derivative of -9*c**4/4 + c**3/3 + c**2 + c - 2. Suppose 1 + 1 = -2*i. Calculate
{ "pile_set_name": "DM Mathematics" }
142173 to 5 dps. 0.03214 What is 0.0130323013 rounded to four dps? 0.013 What is 0.57151506 rounded to 1 dp? 0.6 Round -20.377041 to the nearest integer. -20 Round -1.88410728 to 3 dps. -1.884 Round 8.1707927 to 3 decimal places. 8.171 Round 5440.89113 to the nearest ten. 5440 What is -29881.06846 rounded to zero dps? -29881 Round 0.0018912189701 to 6 dps. 0.001891 What is 15251440.676 rounded to the nearest 100000? 15300000 What is -87.957287 rounded to the nearest 100? -100 What is -391187.3205 rounded to the nearest 100? -391200 Round 14639633.63 to the nearest one thousand. 14640000 Round -0.000000973434442 to 7 decimal places. -0.000001 Round -0.056254291 to five decimal places. -0.05625 What is 101592427 rounded to the nearest 100000? 101600000 What is -125236.7419 rounded to the nearest one thousand? -125000 Round -14.564375091 to three decimal places. -14.564 What is 0.51796159 rounded to 2 dps? 0.52 What is 1829.0051 rounded to the nearest 10? 1830 What is 0.00313194472 rounded to six decimal places? 0.003132 What is 46.0863318 rounded to the nearest 10? 50 Round 598.8962854 to the nearest integer. 599 Round -102.4351578 to one dp. -102.4 Round 2.79673547 to zero decimal places. 3 What is 28104328.6 rounded to the nearest 100000? 28100000 Round -445.357955 to the nearest integer. -445 What is 0.093044147 rounded to 3 decimal places? 0.093 What is 0.05010495102 rounded to four dps? 0.0501 Round -16609177.62 to the nearest ten thousand. -16610000 What is -0.0000137500982 rounded to six decimal places? -0.000014 What is -967337.1118 rounded to the nearest one hundred thousand? -1000000 Round 0.000358816396 to 7 decimal places. 0.0003588 Round 0.02936516 to 5 dps. 0.02937 Round 0.00186437414 to five dps. 0.00186 Round -0.00004526219 to 4 dps. 0 What is -8543106.715 rounded to the nearest 100000? -8500000 What is -136657.949 rounded to the nearest one thousand? -137000 What is -4043959783 rounded to the nearest one million? -4044000000 Round -547067219 to the nearest one hundred thousand. -547100000 What is -0.649548425 rounded to one dp? -0.6 What is 307751.84 rounded to the nearest ten thousand? 310000 Round 0.5637667627 to 5 decimal places. 0.56377 What is -1112001630 rounded to the nearest one million? -1112000000 What is -616.85202 rounded to 1 decimal place? -616.9 Round 37633.64578 to the nearest ten. 37630 Round -0.2831591593 to 3 decimal places. -0.283 What is -0.2891012517 rounded to 3 dps? -0.289 Round 2.022855198 to 1 decimal place. 2 What is -0.0001753594619 rounded to 7 dps? -0.0001754 What is -0.000000065081855 rounded to 7 decimal places? -0.0000001 What is -0.021482988 rounded to 5 dps? -0.02148 What is -0.00074209999 rounded to 5 decimal places? -0.00074 What is 0.010005323 rounded to 2 dps? 0.01 Round -0.0009095747648 to four dps. -0.0009 Round -40570544.34 to the nearest 100000. -40600000 What is -0.000962673592 rounded to five dps? -0.00096 What is -122.270208 rounded to 2 dps? -122.27 Round -0.000020882786 to 6 dps. -0.000021 Round -42525.81234 to the nearest 10000. -40000 Round 0.0057854304 to seven decimal places. 0.0057854 Round -0.000010444706484 to seven dps. -0.0000104 Round -0.000010999333 to 6 dps. -0.000011 What is 11051101700 rounded to the nearest one million? 11051000000 What is -350767.8 rounded to the nearest one hundred? -350800 What is -4830547.04 rounded to the nearest 10000? -4830000 Round 5404.064861 to the nearest 10. 5400 Round 0.1776168231 to 6 decimal places. 0.177617 What is 0.00112134215 rounded to five dps? 0.00112 Round 0.00015340025 to 6 dps. 0.000153 Round 2955.71214 to the nearest one hundred. 3000 What is -0.0002380073134 rounded to 7 dps? -0.000238 What is -0.00208155172 rounded to 5 dps? -0.00208 What is -2961884338.4 rounded to the nearest 1000000? -2962000000 Round 0.199736932 to five dps. 0.19974 Round -0.007641324317 to 5 dps. -0.00764 What is 0.00054562652 rounded to 5 dps? 0.00055 Round -248.050339 to the nearest ten. -250 What is -999432.63 rounded to the nearest one hundred thousand? -1000000 Round -14040.130317 to one decimal place. -14040.1 Round 1929.3231 to the nearest 10. 1930 Round -58681675.09 to the nearest one million. -59000000 Round 732016.2 to the nearest one hundred thousand. 700000 What is 126734.562 rounded to the nearest 100? 126700 Round 11436.5993 to the nearest one hundred. 11400 What is 0.006461898 rounded to 4 decimal places? 0.0065 What is -32667.006 rounded to the nearest ten thousand? -30000 Round 1193408813 to the nearest 100000. 1193400000 Round 0.009984286 to 5 decimal places. 0.00998 What is -3781.54389 rounded to the nearest ten? -3780 Round -101761.62 to the nearest 1000. -102000 Round 8.96977 to two decimal places. 8.97 What is 10534.9198 rounded to the nearest one thousand? 11000 What is -903.021313 rounded to the nearest ten? -900 What is -2.7468893 rounded to 4 decimal places? -2.7469 Round -0.00002211642524 to five dps. -0.00002 Round 49974.09026 to the nearest ten. 49970 Round -0.0144316231 to 6 dps. -0.014432 Round -0.12386182 to 2 dps. -0.12 What is -3177884.773 rounded to the nearest 10000? -3180000 Round -0.0000004595022029 to seven decimal places. -0.0000005 What is 4.337646 rounded to 0 decimal places? 4 What is 14677395.4 rounded to the nearest 1000? 14677000 What is -2.57753869 rounded to one decimal place? -2.6 What is -0.04138542107 rounded to two dps? -0.04 What is 6.776200366 rounded to 0 dps? 7 Round -1.82553749 to four decimal places. -1.8255 What is 0.000513505118 rounded to 6 dps? 0.000514 What is -210.1329591 rounded to the nearest integer? -210 What is -128063.55763 rounded to the nearest one thousand? -128000 What is 12422.904 rounded to the nearest 1000? 12000 What is -11.766674413 rounded to two decimal places? -11.77 What is 3131881.3 rounded to the nearest one hundred? 3131900 What is -225395782 rounded to the nearest 1000000? -225000000 Round 0.062299926 to two dps. 0.06 What is 0.0099365867 rounded to four dps? 0.0099 Round 346762.98 to the nearest 10000. 350000 What is 446937.491 rounded to the nearest one thousand? 447000 Round 0.0690861824 to two decimal places. 0.07 What is 10038840420 rounded to the nearest 100000? 10038800000 Round -7.1270717 to 1 dp. -7.1 What is -0.02291539675 rounded to three dps? -0.023 What is 0.00149328313 rounded to 7 dps? 0.0014933 What is -392.47306 rounded to the nearest ten? -390 What is 0.00001838452745 rounded to five dps? 0.00002 What is -717394.67 rounded to the nearest 1000? -717000 Round -3.78203626 to 3 dps. -3.782 What is -0.14162097 rounded to three decimal places? -0.142 What is 1388196300 rounded to the nearest one million? 1388000000 What is -5895030800 rounded to the nearest 1000000? -5895000000 What is 812.819454 rounded to the nearest integer? 813 Round -1.07876384 to one decimal place. -1.1 Round -1812645.256 to the nearest one thousand. -1813000 Round 8.97021755 to 3 decimal places. 8.97 What is 0.18326008 rounded to 1 decimal place? 0.2 What is 0.7390861 rounded to one decimal place? 0.7 What is -78553812.5 rounded to the nearest ten thousand? -78550000 What is 14598964.48 rounded to the nearest one hundred? 14599000 Round -111246.2373 to the nearest 100. -111200 What is 121440.146 rounded to the nearest 100? 121400 Round 9628973.194 to the nearest 100. 9629000 Round 3548.193 to the nearest one hundred. 3500 Round -0.00013894157 to seven dps. -0.0001389 Round -0.002604066 to three dps. -0.003 What is -41053980.9 rounded to the nearest one hundred thousand? -41100000 Round -12062.01798 to the nearest 100. -12100 Round -129909.61555 to the nearest 100. -129900 Round -3046.365002 to one dp. -3046.4 What is -929.54695 rounded to the nearest ten? -930 Round -2371.89454 to one decimal place. -2371.9 Round 2040.37747 to the nearest 10. 2040 Round 2939.5495 to the nearest ten. 2940 Round 433922.1608 to the nearest one hundred. 433900 Round 0.00003774787 to seven decimal places. 0.0000377 What is -0.001187167869 rounded to seven dps? -0.0011872 What is 35.2730099 rounded to 2 decimal places? 35.27 What is -0.00022199535478 rounded to 6 decimal places? -0.000222 Round 6.2421858 to 1 decimal place. 6.2 Round -138324.811 to the nearest 10000. -140000 What is -771.409859 rou
{ "pile_set_name": "DM Mathematics" }
= 26 + -26. What is the closest to x in m, u, 2/9? u Let j = -26.63 - -0.63. Let u = 28 + j. What is the closest to -7/5 in -1/3, u, -0.5? -0.5 Let i = 9.9 + -12.9. Suppose -3*f - 20 = f. Which is the closest to i? (a) f (b) -3 (c) 2/19 b Suppose -2*v + 4 = -2*d - 6, v = -2*d + 11. Let g = 86 - 83. What is the nearest to v in -2/17, g, -2? g Let x = -1.1 - -0.6. Let p = 0.4 + x. Let t be (9/18)/(6/(-12)). What is the nearest to -1/4 in p, -5, t? p Let a = -1786.5 - -1787. Let j = -131/3 + 44. What is the nearest to j in -4, a, -1? a Let d = 0.0662 + -0.5662. Which is the closest to -9? (a) 0.06 (b) d (c) -0.2 b Suppose 0 = -26*g + 18*g + 8. What is the nearest to 2 in 1/2, -4, g, -5? g Let m = -195.6 - -194.6. What is the closest to m in 3/8, 6.6, -0.4? -0.4 Let r = -48 + 46. Let v be (r/10)/(-2 - 36/(-20)). Let k = -4 + 3. What is the nearest to k in v, -0.3, 1/4? -0.3 Let w = -1776 - -1778. Let d = -10661/20 - -534. Let f = d - 7/10. What is the nearest to -0.1 in f, w, -3? f Let s = 10.4 - 70.4. Let g = s + 60.04. Which is the closest to -1? (a) -2/11 (b) -1/8 (c) g a Let r = -4 - 1. Let k = r - -1. Let s = -4/3 + 13/9. Which is the closest to 1? (a) 2/7 (b) s (c) k a Let w = -39 - -42. Which is the closest to 0? (a) -3/22 (b) w (c) 2/9 a Let s be 15/12 - 3/2. What is the nearest to 2 in 1, s, -3? 1 Let x be 6/45 + 4 + 57/(-15). Let d = 407 - 410. Which is the nearest to -0.1? (a) x (b) 17 (c) d a Let l = -4.777 - -4.8. Let n = 0.123 - l. What is the nearest to 2/7 in -2/11, n, 5? n Let x be 5/15*(-9 + 11). What is the nearest to x in -25, -5, 0? 0 Let c = 385178/5 - 76708. Let s = -329 + c. Let q = -1/10 + s. What is the closest to q in -1, -4, -0.2? -1 Let b = -30 + 28.95. Let z = b + 0.05. Let r = 26 + -25.5. What is the closest to z in 0.3, 0, r? 0 Let s = -0.3 + -0.7. Let f = 5/116 - -6/29. Let p = 3.2 + -3. What is the closest to s in -1/9, p, f? -1/9 Let z = 6 + -5.7. Let t = 0.2 + -1.2. Let p = -1 + 2. What is the closest to t in -2/9, p, z? -2/9 Let x be (-4)/30 - (-290)/1050. Let h = -2.5 + 2.3. Which is the nearest to -0.3? (a) -3 (b) h (c) x b Let g = 87.9 - 83.945. Let q = -0.045 - g. Which is the nearest to 1/4? (a) -0.4 (b) q (c) 29 a Let k = -12.6 + 6.6. What is the nearest to -2/5 in 3, k, -2? -2 Let g = 5.5 - 5. Let j = -0.6 + g. Let p = 1.043 - 0.243. Which is the closest to j? (a) 2/5 (b) 1/8 (c) p b Let p be (4/(-6))/(28*(-4)/(-24)). What is the closest to p in 4/7, 0.2, 2/3? 0.2 Let v = 7.89 - 2.89. Which is the nearest to 2? (a) 1/8 (b) v (c) -2/3 a Let i(n) = -3*n**2 + n + 13. Let y be i(-3). Let d = -15 - y. What is the closest to 4 in -0.4, 0.1, d? d Let p = 0.3 + -0.2. Let z = -300 + 299. What is the nearest to z in -1/6, p, 2/7? -1/6 Let i = 7769/150 + -103/2. Let y = i - -1/25. Which is the closest to y? (a) 3 (b) 0.1 (c) -12/17 b Let h = 1396/41145 + -2/633. What is the nearest to -0.1 in -1, h, 1, 0? 0 Let o = 267 + -270. Let y = 37/2 + -19. What is the closest to -2/3 in 4, y, o? y Let a = 193/452 + -20/113. Let g = 1.1 - 1. What is the nearest to g in 4/9, -2/9, a? a Let i(y) = -36*y + 608. Let p be i(17). Let k be (-9)/(-7) - (2 + -1). Which is the closest to k? (a) -0.8 (b) p (c) 5 a Suppose -6 - 4 = 2*j, -5*w = 2*j. Which is the nearest to 1? (a) w (b) 5/6 (c) -2/9 b Let v = 0.04 - 0.24. Let a be ((-22)/20)/11*4. Let g = 4.5 - 4.2. What is the nearest to v in 2/13, a, g? a Let k be (8/(-32))/((-1)/4). Let m = -375 - -751/2. Which is the nearest to m? (a) k (b) 9 (c) 3 a Let x = -0.91 - 0.09. Let j = 113.4 + -113.8. What is the nearest to j in 0.1, x, -3? 0.1 Let k = -1.045 + 0.045. Which is the closest to k? (a) -0.4 (b) 3/4 (c) 4 (d) -1/5 a Let d(p) = p**3 + 19*p**2 - 42*p - 6. Let n be d(-21). Which is the nearest to n? (a) 1/3 (b) -9/8 (c) -0.1 b Let n = -1940 - -1944. What is the nearest to -2/7 in 5, n, 0.88? 0.88 Let k(d) = -6*d + 122. Let t be k(21). Which is the closest to -0.03? (a) 4 (b) t (c) -0.2 c Let i = 40 + -33. Let r = 7.1 - i. Which is the nearest to 2? (a) 5 (b) -0.4 (c) r c Let x = 174.1 - 174. Let h be (3/(-2))/(0 - -6). What is the nearest to h in 1, x, 3? x Let v(j) be the first derivative of j**4/4 - 7*j**3/3 + 5*j**2/2 + 4*j - 41. Let z be v(6). What is the closest to z in -2/9, -2/17, 2/7? -2/9 Suppose -h - 4 - 31 = -c, 2*c - 63 = -5*h. Suppose -3 = 37*y - c*y. What is the closest to 0.3 in 3/2, -0.3, y? -0.3 Let g = -155.947 - -156. What is the closest to -1 in g, 3, -2? -2 Let x = -7.8 - -0.9. Let a = x - -7. Let z = 0.08 - 4.08. What is the nearest to -0.1 in 2/7, z, a? a Let x = 0.01 + -0.01. Let h be (-7)/(-4) + 1/(-2). Which is the nearest to x? (a) 2 (b) 0 (c) h b Suppose 9 + 1 = 5*j. Suppose -j*d = -9 + 3. Suppose 0 = g + d*g + 8. Which is the closest to 0.2? (a) 1/3 (b) g (c) -2/21 a Let y = -71/4 + 631/36. Which is the closest to -0.1? (a) -7 (b) 1/3 (c) y c Let c = 0.7 + -1. Let o be (-4 - -2) + (-108)/(-81). What is the closest to o in c, 0, -2? c Let i be (-5)/(-4) + -1 + 0. Let p = 56 + -40. Let x be (p/(-8))/(12/(-9)*-1). Which is the nearest to -0.2? (a) 0.5 (b) x (c) i c Let q be 2/((-1 - (-1)/2) + 0). Let h = -2/793 - 3158/5551. Which is the nearest to 0.1? (a) 3 (b) q (c) h c Let n = -0.83 - -1.33. What is the nearest to n in -5, -2/9, -5/2? -2/9 Let g(j) = j**3 - 6*j**2 - 14*j - 19. Let z be g(8). Let u be (-5)/(-2)*4/15. Which is the closest to u? (a) z (b) -5 (c) -2 c Suppose -4*m - 3*w - 30 = 33, w - 75 = 4*m. Let h be (-87)/(-270) - (-4)/m. Which is the closest to -2/9? (a) 1/6 (b) h (c) -0.4 c Let m = -389 + 387. Which is the nearest to 0? (a) -3 (b) m (c) 8 (d) -5 b Let o(n) = n**3 + 11*n**2 + n + 7. Let h be o(-11). Which is the closest to 0? (a) h (b) 18/11 (c) 16 (d) 5 b Let y = -2.14 + -2.86. What is the nearest to -0.2 in y, 0, 3? 0 Let b = -2272/5 + 454. What is the nearest to -2/7 in 1, b, 2/19? b Let r = 30502/47 - 649. Which is the closest to 0? (a) 0 (b) 2/17 (c) r (d) -2 a Let q = 4.9901 - -0.0099. What is the closest to 1/6 in -0.3, q, 2/15, 1? 2/15 Let k = -57.8 - -43. Let h = -15 - k. What is the nearest to 2 in h, -0.1, 4? 4 Let m = 0.11 + -2.41. Let k = m - 0.7. What is the nearest to -1 in k, 0.1, 5? 0.1 Suppose 20*w + 2737 = 3*w. Let m = w + 647/4. Which is the nearest to -0.2? (a) 1 (b) -4 (c) m c Let y = 0.072 + 0.028. Let j(g) = -9*g. Let n be j(-2). Which is the closest to y? (a) -0.5 (b) 2 (c) n a Let v = -0.1 - -2.1. Let p = 985.9 - 986. Let w = -26 + 53/2. Which is the nearest to v? (a) w (b) p (c) -3 a Suppose 0 = -5*j - 0*j + 15. Let i(q) = -q**3 + 3*q**2 + 5. Let n be i(j). Which is the nearest to -1? (a) n (b) 1 (c) 3/2 b Let z = 0.05 - -0.35. Let a = -0.5 + 1. Let g = -459 - -451. What is the nearest to g in a, 3/5, z? z Suppose 9*h + 45 = -0. Let g be (2 - 1)/(h/(-10)) + -3. Which is the nearest to -1? (a) -2/5 (b) 3 (c) g c Let i = -15.9 - -18.9. Let q be -1 + 0 - 22/(-26). Which is the nearest to i? (a) q (b) -0.5 (c) -0.3 a Let q be (-60)/(-50) - (-2)/(-10). What is the nearest to q in -5, -0.36, 0? 0 Let p = 5.203 + -0.203. Which is the nearest to 7? (a) -0.1 (b) 0.2 (c) p c Let k be (-2)/(-9) - (-52)/(-153). Let x = -0.7 + 0.69. Which is the nearest to 0.1? (a) -0.3 (b) x (c) k b Suppose -6*v + 7*v + 13*v = 28. Let d = 1 + -1. What is the closest to d in 0.3, -2/3, v? 0.3 Let m = 6.73 - 7. Let n = m + 0.3. Which is the closest to -1/3? (a) 5/2 (b) 5 (c) n c Let z = 3.146 - 0.146. Let p = -14 - -5. What is the nearest to p in -0.3, 2, z? -0.3 Let i be ((-1)/(-2))/(39/(-26)). Which is the nearest to i? (a) -5 (b) -1/4 (c) -3/4 (d) -3 b Let q = 382 + -386. Which is the closest to 1? (a) q (b) 1 (c) 0.2 (d) -0.5 b Let o = 2.0141 + -0.0141. Which is the closest to 11? (a) -5 (b) -4 (c) o c Let g = -1537 + 1536. What is the closest to 0.07 in -0.5, g, 5, 1/2? 1/2 Let h = -303.2 + 272. Let n = -31 - h. Which is the nearest to 3? (a) n (b) 0.1 (c) -4 a Let r = -3 + 18. Suppose 5*z + 11 = 3*h, 25*z = 20*z - 4*h + 3. Let l = -0.31 + 0.01. What is the nearest to z in r, l, -0.2? l Let w = 0.4 + -0.3. Let s = -19824 - -19823.9. What is the nearest to 1 in w, -5, s? w Let k = -0.11 + 0.21. Which is
{ "pile_set_name": "DM Mathematics" }
t replacement from uuuuuu? 1 Three letters picked without replacement from {b: 3, i: 2, j: 5, e: 7}. What is prob of picking 3 b? 1/680 Three letters picked without replacement from pfpffppffpffpp. Give prob of picking 2 p and 1 f. 21/52 Two letters picked without replacement from {f: 2, t: 3, r: 7, z: 2, c: 5, p: 1}. What is prob of picking 2 c? 1/19 Four letters picked without replacement from {o: 2, x: 5, n: 5, k: 5}. What is prob of picking 2 x, 1 n, and 1 k? 25/238 Two letters picked without replacement from kjkjjjj. What is prob of picking 1 j and 1 k? 10/21 Two letters picked without replacement from {t: 1, g: 4, v: 2, l: 1, h: 2}. Give prob of picking 1 g and 1 v. 8/45 Calculate prob of picking 3 j when three letters picked without replacement from jjjjj. 1 Two letters picked without replacement from zlyyzpy. Give prob of picking 1 y and 1 l. 1/7 Calculate prob of picking 2 k and 1 j when three letters picked without replacement from kzzjjkzzzzyezzjzzz. 1/272 Four letters picked without replacement from tyyytttyyh. Give prob of picking 2 y and 2 t. 2/7 Two letters picked without replacement from {w: 1, r: 2, n: 4}. Give prob of picking 1 r and 1 w. 2/21 What is prob of picking 2 m when two letters picked without replacement from {c: 2, m: 4, d: 3, x: 1, h: 4}? 6/91 Four letters picked without replacement from {h: 4, u: 2}. Give prob of picking 2 u and 2 h. 2/5 Three letters picked without replacement from {w: 1, x: 3, f: 7, v: 6}. What is prob of picking 1 v, 1 x, and 1 f? 63/340 Two letters picked without replacement from {q: 2, d: 1, i: 1}. Give prob of picking 1 i and 1 d. 1/6 Three letters picked without replacement from {h: 9, x: 10}. Give prob of picking 2 x and 1 h. 135/323 Four letters picked without replacement from {y: 8, w: 5}. What is prob of picking 2 w and 2 y? 56/143 Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {t: 17, o: 3}. 51/190 Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {n: 1, x: 1, w: 1, m: 1, v: 1}. 1/10 Four letters picked without replacement from wchwwwh. Give prob of picking 1 c and 3 w. 4/35 Two letters picked without replacement from hhsmymfzyszmhz. Give prob of picking 2 f. 0 Calculate prob of picking 2 c, 1 h, and 1 g when four letters picked without replacement from {y: 1, h: 2, g: 1, c: 7, l: 8}. 7/646 What is prob of picking 1 y and 1 u when two letters picked without replacement from yukzb? 1/10 Two letters picked without replacement from {s: 6, t: 6}. What is prob of picking 2 t? 5/22 What is prob of picking 1 t and 2 b when three letters picked without replacement from {b: 10, t: 2}? 9/22 What is prob of picking 3 k when three letters picked without replacement from ppekekkk? 1/14 What is prob of picking 2 k and 2 u when four letters picked without replacement from uquuukukkuuuqk? 24/143 Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {g: 1, z: 6, s: 1, m: 1, a: 5, n: 2}. 1/20 Two letters picked without replacement from raxrxarrrkr. What is prob of picking 2 a? 1/55 Calculate prob of picking 2 u when two letters picked without replacement from {u: 9}. 1 Four letters picked without replacement from tttaaaaaett. Give prob of picking 1 e and 3 t. 1/33 Calculate prob of picking 2 j and 1 n when three letters picked without replacement from {j: 2, g: 4, n: 3}. 1/28 What is prob of picking 2 d and 1 t when three letters picked without replacement from {t: 1, x: 3, d: 3}? 3/35 What is prob of picking 2 d and 1 y when three letters picked without replacement from dsdxxyydxyddsyy? 10/91 Two letters picked without replacement from {a: 2, v: 7, f: 4}. Give prob of picking 1 f and 1 v. 14/39 Calculate prob of picking 2 y when two letters picked without replacement from aaqhkaqhyjahyhhkh. 1/136 Three letters picked without replacement from {g: 3, k: 4, f: 4, c: 4}. What is prob of picking 1 c and 2 k? 24/455 Three letters picked without replacement from {p: 5, q: 5}. Give prob of picking 1 q and 2 p. 5/12 Calculate prob of picking 2 t and 2 q when four letters picked without replacement from {d: 2, x: 5, z: 1, t: 4, q: 2}. 6/1001 Two letters picked without replacement from sssscszcssszsssssssc. What is prob of picking 2 z? 1/190 Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {k: 1, v: 1, a: 1, m: 2, n: 1, z: 2}. 1/28 Three letters picked without replacement from cucc. What is prob of picking 3 c? 1/4 Three letters picked without replacement from {n: 4, t: 3, q: 4}. What is prob of picking 1 q and 2 n? 8/55 What is prob of picking 3 l and 1 s when four letters picked without replacement from sssllsslss? 1/30 Calculate prob of picking 4 t when four letters picked without replacement from {p: 6, t: 4}. 1/210 What is prob of picking 1 a, 1 k, and 2 c when four letters picked without replacement from aakkackcllkllkkkakkk? 8/969 Calculate prob of picking 1 p and 1 t when two letters picked without replacement from tpocp. 1/5 Four letters picked without replacement from yeyyeeyyyyeyey. Give prob of picking 3 e and 1 y. 90/1001 Two letters picked without replacement from {m: 3, i: 1, b: 4, j: 2, r: 2, s: 2}. What is prob of picking 1 s and 1 r? 4/91 Three letters picked without replacement from {a: 4, c: 1, r: 2}. Give prob of picking 1 a and 2 r. 4/35 Four letters picked without replacement from {v: 1, u: 1, h: 6, b: 4, y: 3}. Give prob of picking 2 b and 2 h. 6/91 What is prob of picking 1 k and 2 v when three letters picked without replacement from sspksvqvfkv? 2/55 Calculate prob of picking 2 f and 2 s when four letters picked without replacement from {i: 4, f: 3, j: 2, s: 4, q: 3, y: 1}. 9/1190 Four letters picked without replacement from uivviuuuiiiiuvvuuuu. What is prob of picking 1 u, 1 i, and 2 v? 27/323 What is prob of picking 2 s when two letters picked without replacement from ssssspss? 3/4 Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, t: 2, p: 3}. 1/6 Calculate prob of picking 2 h when two letters picked without replacement from {d: 5, h: 14}. 91/171 Calculate prob of picking 1 k, 1 d, and 1 t when three letters picked without replacement from {d: 6, n: 2, k: 4, t: 2, u: 1}. 48/455 Calculate prob of picking 1 h, 1 x, and 1 t when three letters picked without replacement from txxxwhy. 3/35 What is prob of picking 1 p, 1 u, and 1 d when three letters picked without replacement from {u: 1, d: 1, k: 2, p: 1}? 1/10 Calculate prob of picking 2 c when two letters picked without replacement from mvgmgmgmvgmmugccggcm. 3/190 What is prob of picking 1 p and 1 c when two letters picked without replacement from kvophcchcohooc? 4/91 What is prob of picking 3 m and 1 y when four letters picked without replacement from mmmmmmmymmy? 28/55 What is prob of picking 1 b and 1 v when two letters picked without replacement from {z: 2, n: 4, v: 3, y: 4, b: 3}? 3/40 What is prob of picking 1 q and 3 s when four letters picked without replacement from {q: 1, s: 7}? 1/2 Calculate prob of picking 1 p, 1 y, and 1 t when three letters picked without replacement from {t: 1, y: 3, p: 1}. 3/10 Three letters picked without replacement from {b: 3, l: 1}. Give prob of picking 3 b. 1/4 What is prob of picking 2 n and 2 o when four letters picked without replacement from {o: 2, n: 8}? 2/15 Two letters picked without replacement from wpaaawawhwahawwwwaw. What is prob of picking 1 w and 1 a? 7/19 Three letters picked without replacement from xvviillxxii. What is prob of picking 1 v, 1 x, and 1 l? 4/55 What is prob of picking 1 q and 1 p when two letters picked without replacement from {p: 1, q: 2, k: 1}? 1/3 What is prob of picking 1 y, 1 v, and 1 a when three letters picked without replacement from {y: 1, r: 5, c: 1, a: 3, v: 2}? 3/110 What is prob of picking 1 f, 2 o, and 1 m when four letters picked without replacement from {m: 4, n: 1, t: 1, f: 2, o: 1}? 0 Calculate prob of picking 2 s when two letters picked without replacement from {p: 3, s: 12}. 22/35 Three letters picked without replacement from ssssnssnssssssssssns. What is prob of picking 3 n? 1/1140 Four letters picked without replacement from {v: 9, s: 11}. What is prob of picking
{ "pile_set_name": "DM Mathematics" }
order. -1, l, 3, 7 Let h = -378 - -5672/15. Put -1/5, 0.1, 27/8, h in descending order. 27/8, h, 0.1, -1/5 Let t = -13 + 6. Let d = 6.91 + t. Let s = d - -0.59. Put -2/7, 6, s in descending order. 6, s, -2/7 Let l = 0.02 - -2.98. Let w = -175 + 174.796. Let v = 1.104 + w. Put -0.5, l, v in decreasing order. l, v, -0.5 Let g(q) = -q**2 + 23*q + 57. Let f be g(26). Sort -1, 0, f in ascending order. f, -1, 0 Let h = -684 + 660. Put -1, 7, h in decreasing order. 7, -1, h Let b = -285 + 2567/9. Put -6, b, 1.8 in descending order. 1.8, b, -6 Let c = 80.1 - 80.6. Put -3, -187, c in ascending order. -187, -3, c Let b = 218 + -227. Let q = -43 - -45. Put 1, q, -1, b in descending order. q, 1, -1, b Let g = 186.27 + -186. Sort g, -2, -4, 2 in descending order. 2, g, -2, -4 Let v be 10*(-24)/(-30) - (-1350)/(-165). Suppose 4*i = 2*i + 10, 2*p - 5*i = -35. Let o = 0.6 - -0.3. Sort o, v, p. p, v, o Suppose -5*c + 1 = -2*x - 4*c, -4*c - 35 = 5*x. Let q be (5 - 3)/(2/4). Suppose -4*s - 14 = -2*w, 7 = -q*s - 1. Sort x, w, 0. x, 0, w Let y be -2*4*2/4. Suppose -3*n + 8*n - 25 = -5*b, n - 13 = -2*b. Put y, b, 2, 1 in increasing order. y, 1, 2, b Let q = -39 + 43. Let j = 21 - 18. Suppose i = -i - 2*p, -4*p = 5*i + j. Put 6, q, i in descending order. 6, q, i Let d be (-2)/11 - 539143/(-1815). Let x = d - 297. Let v = 0.11 - -0.39. Put x, -3/7, v in decreasing order. v, x, -3/7 Suppose 5*i + 51 = 226. Suppose i - 5 = -5*f. Let u be 10/12 + 4/f. Sort -1/3, u, -1/4 in increasing order. -1/3, -1/4, u Let o = 0.31 + 0.09. Let x be (0 - 1)*(-10)/70. Put 0.02, o, x, -1/4 in descending order. o, x, 0.02, -1/4 Let b = 94/805 + 3/115. Sort b, 3/2, 4, 1 in ascending order. b, 1, 3/2, 4 Let b = 13 - 12.3. Let a = b - 0.9. Suppose -6 = 3*m - 12. Sort a, m, 1 in descending order. m, 1, a Suppose -5*q + 2 = 4*m - 21, 0 = -4*m - q + 11. Suppose -2*g - 4*s + 29 = 9, -5*g - m*s = -18. Sort 1, 12, g in ascending order. 1, g, 12 Suppose -4*g - 2*p + 6 = 0, -2*g - 15 = -3*g - 5*p. Let f be -1 + (-6)/3 + (3 - g). Suppose 5*a - a = -16. Sort 4, f, a. a, f, 4 Let n be 20/12 + (-3 - (-12)/10). Let g = 364 + -361.03. Let y = g - -0.03. Put -1/3, n, y in ascending order. -1/3, n, y Suppose 2020*c = 2016*c - 16. Suppose 5*h - 3*h = 0. Sort c, h, -3/2. c, -3/2, h Let h = -13 + 11. Let z be (-2)/(((-4)/8)/(-1)). Sort 3, h, z, 5 in decreasing order. 5, 3, h, z Let s = -3.41 - 0.59. Let r = 11.8 - -25.2. Put -1, s, r in ascending order. s, -1, r Let y be 1872/897 + (-8)/92. Sort -5, y, 171. -5, y, 171 Let j = -200 + 200. Put j, -3, -2/3 in descending order. j, -2/3, -3 Let q(s) = -s - 18. Let b be q(-13). Let u(r) = -4*r**2 + 2*r - 1. Let y be u(1). Suppose 0 = 18*m + 7*m + 22*m. Sort b, y, m in decreasing order. m, y, b Let z = 6 + -27/5. Sort -5, 0.05, 1, z. -5, 0.05, z, 1 Let g = -33 - -68. Let i = g - 35.21. Let f = i - -0.25. Sort -4, 0, f in decreasing order. f, 0, -4 Suppose 9*p - 7*p + 2*c - 4 = 0, -3*p = -2*c + 4. Sort p, 4, 1, 2 in increasing order. p, 1, 2, 4 Let l = 0.63 + -7.23. Let y = 4.6 + l. Sort 1/6, y, -0.1 in ascending order. y, -0.1, 1/6 Suppose 5*o + 2*f + 8 = 0, f + 3 + 1 = 2*o. Let i = 4 + o. Sort i, 33, 0. 0, i, 33 Let s = 471/2 + -247. Let f = 12 + s. Let l = -1.06 - 1.94. Sort f, -2/5, l in increasing order. l, -2/5, f Let z = -260 - -285.79. Let y = z + -26. Let r = y + -0.19. Sort -4, -2/3, r in descending order. r, -2/3, -4 Suppose 0 = 4*n - 3*h + 7, 2*h = -5*n + h - 4. Let c = -9.9 - -10.002. Let b = 0.202 - c. Sort n, -0.01, b. n, -0.01, b Suppose 4 - 29 = -5*q. Suppose 16*t + 34 = -30. Sort -2, q, t in ascending order. t, -2, q Let q be (-4)/6 + (17/(-6) - 5). Let f = -9 - q. Put f, 0, -2/9 in ascending order. f, -2/9, 0 Suppose s = -2*t - t - 4, 0 = 2*t + 2. Suppose h - 32 = -3*h. Suppose 0*g + 4*u + 24 = -2*g, 3*g + h = u. Put g, s, 5 in ascending order. g, s, 5 Let f = 0.1 + -0.7. Suppose 2*x - 5 = 3*r + 9, 0 = -3*x + 5*r + 23. Sort 0.3, f, x in descending order. x, 0.3, f Let o(t) = 9*t + 44. Let q be o(-20). Let x = q - -549/4. Let b(r) = -r**3 + 4*r**2 - 4*r + 3. Let y be b(2). Sort y, x, -4 in ascending order. -4, x, y Suppose 2*u + 7 = 5. Let s(z) = -3*z**3 + 5*z**2 - 6*z + 9. Let t be s(2). Sort 2/3, 0.3, t, u in increasing order. t, u, 0.3, 2/3 Let u be 6/(-10) + (558/(-120) - -5). Put 0.07, u, -0.5, -4 in decreasing order. 0.07, u, -0.5, -4 Let q be 10/(-3)*(-735)/98. Sort q, 2, 7 in decreasing order. q, 7, 2 Suppose 7*k - f + 170 = 3*k, -4*k - 164 = -4*f. Let c = k + 42. Let q(x) = -x + 1. Let o be q(1). Put o, c, 5 in increasing order. c, o, 5 Suppose 18 = 2*n + 2*w - 6*w, -6 = n + 3*w. Put -4, n, -3, 12 in descending order. 12, n, -3, -4 Let x(d) = -2*d**2 - 17*d + 116. Let h be x(-13). Put -0.5, h, -60 in descending order. -0.5, h, -60 Suppose 3*y + 3 = -4*p + 1, -5*y - 4*p + 2 = 0. Put -0.4, 1.5, y in descending order. y, 1.5, -0.4 Let k = -17769/5 - -3554. Let t = -56 + 55.73. Sort t, k, 0. t, 0, k Let f = 17 + -60. Let v = f + 43.2. Suppose 2*u - 12 = -4*m, u + 0 = 2*m - 6. Put u, v, 0.1 in descending order. v, 0.1, u Suppose 3*v = 6*v - 6. Let j be -1 + 3 + -4 + 3. Put -2, v, j in decreasing order. v, j, -2 Suppose -5*u - 2*q = -229, -5*u + 144 = -2*u - q. Let k = u - 51. Sort k, 25, 3. k, 3, 25 Let f = 142.2 - 143. Put f, -3, 0.5, 1 in ascending order. -3, f, 0.5, 1 Let n = 159 + -164. Sort -3, -6, n, 2 in decreasing order. 2, -3, n, -6 Let z = 411 + -413. Sort z, -1, 18. z, -1, 18 Let f = -399 - -405. Put 0, 5, f, -0.5 in increasing order. -0.5, 0, 5, f Suppose -7*m - 95 - 283 = 0. Let y = m - -49. Sort y, 0, -3 in ascending order. y, -3, 0 Let o be (-32)/(-12)*3/2. Suppose m + 10 = -2*v - 5, o*v = -20. Sort 2, m, -4 in descending order. 2, -4, m Let k = -0.04 - 0. Suppose h - 1 = 3*w, 6 = -w + 2*h + 9. Sort w, 1, k. w, k, 1 Let r = 4978/15 - 332. Sort r, -4, 2/9 in decreasing order. 2/9, r, -4 Let u(r) = 0*r**3 + 3*r**3 - 2 - 9*r**3 - 3*r. Let z be u(-1). Let y be z/3 - 16/48. Put -0.5, y, -1 in ascending order. -1, -0.5, y Suppose 0*k = -2*k. Suppose k = -2*m - 2*m + 8. Suppose -4*n = 3*z - 22 - 1, 2*n - 12 = -m*z. Put n, -3, -1 in ascending order. -3, -1, n Let h(s) be the second derivative of s**4/6 - s**3/6 - 2*s**2 + s. Let a be h(2). Sort a, 3, -1 in ascending order. -1, a, 3 Let j = -427.6 + 387. Let i = 41 + j. Let l = 4 + -5. Put -0.03, i, l in decreasing order. i, -0.03, l Suppose -4*n - 3*d + 13 = 0, 2 + 6 = 5*n + d. Suppose 7 + n = 4*f. Suppose -2*q + 0 - f = 0. Sort 1, q, 4 in descending order. 4, 1, q Let n = 5 - 5.1. Let j = 87 - 347/4. Let g be -6*((-20)/16)/(-5). Sort n, g, j. g, n, j Let s be (2 + -4 - -1)*-1. Let z be (-2 - s)/3 - -1. Let r = -158 - -160. Sort 0.2, z, r in ascending order. z, 0.2, r Let g = -288 + 293. Let v(l) = l - 2. Let i be v(6). Put g, i, -3, -5 in descending order. g, i, -3, -5 Suppose h + 20 = -4*h. Let f = -305 + 306. Sort h, f, -2, 3 in descending order. 3, f, -2, h Let h(x) = -5*x - 18. Let w be h(-4). Sort w, 0, -38. -38, 0, w Let q(l) = -43*l - 127. Let t be q(-3). Let a = 2 - 2. Put a, 3, t, -2 in ascending order. -2, a, t, 3 Let w(s) = -s**3 + 17*s**2 + 2*s - 37. Let d be w(17). Let v(l) = l**3 + 4*l**2 - l - 3. Let c be v(d). Suppose 2*o + 13 = 3. Put o, -2, c in decreasing order. c, -2, o Suppose 5*v - 3*v = -10. Let n = 1753/2285 + 15/457. Sort 1/4, v, n in descending order. n, 1/4, v Let r(k) = k**3 + 11*k**2 + 11*k + 8. Let g be r(-10). Let p be g/9 - 180/(-81). Let s = 16 - 12. Put s, -3, p in ascending order. -3, p, s Let y = 1 + 0. Let n be ((-1)/y)/(42/7). Let x = -5 - -3. Sort -5, n, x in decreasing order. n, x, -5 Let k(t) = 5*t - 6. Suppose w - 6 = -w. Let h be k(w). Let p be (-1)/((4 + -7)/h). Put 4, p, -3/8 in ascending order. -3/8, p, 4 Let l = -0.17 - 4.83. Put -4, l, 3 in ascending order. l, -4, 3 Suppose -14 - 18 = -2*h. Let c be (-18)/h - (-36)/48. Let f = -1/15 - -7/15. Sort c, 0.1, f. c, 0.1, f Let b = -328 + 312.3. Let w = -3 + b. Let z = w - -19. Put 5, z, 0.4 in increasing order. z, 0.4, 5 Let w(l) = l**3 - 3*l**2 + 2*l - 5. Let j be w(3). Let n(y) = -y**3 + 7*y**2 - 5*y + 10. Let v be n(7). Sort v, j, 4 in decreasing order. 4, j, v Let r = 0.015 + -32.015. Let f = r + 33. Let g = 2 - 1.9. Sort f, g, -0.1 in ascending order. -0.1, g, f Let i(p) = 11*p - 368. Le
{ "pile_set_name": "DM Mathematics" }
3*u. Give v(u). -6 Let k(v) = -v**2 + 2*v - 2. Suppose -37*x = -3*x - 170. What is k(x)? -17 Suppose -5*f + f + 16 = 0. Suppose f*q + m = 3*m - 38, -3*q - 33 = -3*m. Let w(p) = p**2 + 7*p - 8. Determine w(q). 0 Let b = 761 + -757. Let z(u) = u**3 - 4*u**2 + 5*u + 2. Determine z(b). 22 Suppose 20*j = -270 + 250. Let z(y) = -y**3 - 2*y**2 - 4*y - 2. Calculate z(j). 1 Let l(o) = -2 + o**2 + 40*o - 47*o - 4. Suppose 19 = 2*x + 3. Calculate l(x). 2 Let t(h) = -h - 9. Let r(n) = -n - 7. Let i(w) = -4*r(w) + 3*t(w). Give i(-8). -7 Let b be (-8)/(-44) - (-140)/77. Let t(h) be the second derivative of 0 + 3*h**b - 3*h - 1/2*h**3. Determine t(5). -9 Let w be (24/36)/((-4)/66). Let r = -3 - w. Let f(b) = b**3 - 7*b**2 - 9*b + 8. What is f(r)? 0 Let m = 11 - 9. Let j(q) be the second derivative of -q**5/60 + q**4/24 - q**3/6 + 3*q**2/2 + 6*q. Let n(a) be the first derivative of j(a). What is n(m)? -3 Let m(d) = -6*d - 1. Let y = 344 - 340. Calculate m(y). -25 Let x(p) = -p. Let s = 45 + 4. Suppose 6*m - 3*m - 5*l - 11 = 0, 2*m + 5*l = s. Let k = -7 + m. Calculate x(k). -5 Let l(x) = 8*x**2 + 11*x + 3. Let g(k) = -22*k**2 - 34*k - 8. Let q(h) = -3*g(h) - 8*l(h). Calculate q(-7). 0 Let s(n) = -n**2 - 9*n - 13. Suppose 0 = 22*o + 7*o + 290. What is s(o)? -23 Suppose -2*f + 5*f = -42. Let n be f/12 + 10/60. Let x(q) = -20*q**2 + q. Calculate x(n). -21 Let a(f) = 19*f + 1. Let p(o) = -2*o**3 + 16*o**2 + 2*o - 15. Let s be p(8). What is a(s)? 20 Let b be (3 + (-4 - -1))/1. Let f be (-1*(1 + b))/((-14)/(-98)). Let j(y) = y**3 + 8*y**2 + 8*y + 10. Calculate j(f). 3 Let l(s) = 3*s**3 - s**2 - 3*s + 3. Let i be (-4)/(-14) + 144/84. What is l(i)? 17 Let c(f) = -f**3 + 5*f**2 + 4*f - 1. Let h(a) = a**2 - 9*a + 7. Let q be h(9). Let b = q + -4. Suppose -3*d - 21 = -b*s - 0*d, -5*s + 3*d + 33 = 0. Give c(s). -13 Let m(l) = 1779*l**2 - 3563*l**2 - 4*l - 8*l + 1783*l**2 - 7. Let d(b) = -11*b**3 - b**2 + 2*b - 1. Let u be d(1). Determine m(u). 4 Let r(q) be the third derivative of q**6/120 - q**5/6 - q**4/12 + 5*q**3/6 - 19*q**2. What is r(10)? -15 Suppose 17 + 7 = 4*g. Suppose -2*t - 64 = -g*y + 3*y, -4*t = 3*y - 34. Let n(f) = f + 11*f**2 - y*f**2 + f**3 + 7 + 4*f. What is n(6)? 1 Let o(k) = 14*k**2 - 1 - 14*k + 12 + 388*k**3 - 1 - 389*k**3. What is o(13)? -3 Let j(u) = u**3 - 5*u**2 + 4*u + 1. Let q(f) = -f**3 - 12*f**2 - 11*f + 2. Let d be q(-11). Let o(c) = d - 3*c - 1 + 4*c. Let x be o(2). Give j(x). -5 Suppose 0 = -h + 5, -h - 2*h = -2*g + 31. Let q = g - 27. Let u(b) = -b**2 - 4*b + 3. Give u(q). 3 Let v be (1 + 29/3)*(-585)/(-39). Let u(n) = v*n - 81*n - 82*n + 5. Determine u(4). -7 Let s(p) = 8*p + 39. Let a be (((-480)/(-45))/16)/((-2)/12). Calculate s(a). 7 Let w(z) = z + 4. Let r(n) = -n - 1. Let x(l) = 2*r(l) + w(l). Let p = 19 + -13. Give x(p). -4 Suppose -f - 7 = -4*u, 0 = -9*f + 4*f + 2*u - 17. Let a(y) = y**2 + 5*y + 12. What is a(f)? 6 Let s = -23435 - -23439. Let a(b) = -b**3 - 5*b**2 + 5*b - 2*b + 2*b**3. Calculate a(s). -4 Let f(u) = -u**3 + 13*u**2 + 14*u + 2. Suppose -40 = 8*c - 152. Determine f(c). 2 Suppose -i + 14 = -2*f - 0, -3*i = -3*f - 33. Let o(k) = k**2 - 8*k - 3. Give o(i). -3 Let u(h) = 6*h - 3 - 27*h + 13*h + 9*h. Calculate u(3). 0 Let y(a) = -6*a. Suppose 17*j = 14*j. Suppose j*v - 3*v = -15. Suppose -2*q - 3 = -v*q. Determine y(q). -6 Let s(i) = 24*i + 1. Let f(r) = -61*r - 3. Let c(l) = -2*f(l) - 5*s(l). Let x be 28/20 + 2/(-5). Calculate c(x). 3 Let h be ((-3)/(-45))/((-3)/(-15))*(-7 - 11). Let u(o) = 3*o**2 + o. Let q(l) = 2*l**2 + 1. Let b(i) = -4*q(i) + 3*u(i). Give b(h). 14 Let h(x) = 10*x**2 + 4*x - 3. Let v(u) = -19*u**2 - 7*u + 5. Suppose 0 = -4*b + 14 + 14. Let y(p) = b*h(p) + 4*v(p). Give y(-1). -7 Suppose 4*l + 85 = 9*l. Suppose -3*x = l - 2. Let z(m) = -2*m. What is z(x)? 10 Suppose -3*w = -6*w - 3*s, 0 = -5*w - 3*s + 4. Let p(f) = 0 + f + f**2 - 3 + w. Let b(q) = 3*q**2 + 6*q - 8. Let o(t) = b(t) - 2*p(t). What is o(-6)? 6 Let b(a) = -a**2 + 9*a - 4. Let u(k) = -k**2 + 4 - 7 - 29*k - 12 - 6. Let x be u(-28). Determine b(x). 10 Let s(n) = 2*n**3 + 3*n**2 - 3*n + 4. Suppose -3*v + 6 = 0, 4*v - 4 = 3*j + 13. Give s(j). -14 Let v(k) be the second derivative of -k**4/12 + 5*k**3/2 - 2*k**2 + 90*k + 1. What is v(12)? 32 Let p(l) = l**2 + 6*l - 1. Let r(x) = -x + 12. Suppose 0*y - 3*z = y - 2, 0 = -3*y - z + 46. Let o be r(y). Give p(o). -6 Suppose 18 = -4*t + t. Let h(l) = 4*l + 18. Give h(t). -6 Let k(l) be the third derivative of -l**6/40 - 4*l**5/15 + 11*l**4/24 - l**3/6 + 20*l**2 + 4. Calculate k(-6). 5 Let g(r) be the third derivative of 5*r**4/6 + 2*r**2. Let p(u) be the second derivative of 5*u**3/3 - 2*u - 31. Let h(z) = -6*g(z) + 13*p(z). What is h(1)? 10 Let g(h) = -h**3 - 5*h**2 - 2. Let u(v) = v**3 + 5*v**2 + 4*v + 9. Let w be u(-5). Let i = w + 8. What is g(i)? -20 Let l(s) = 3*s**2 - 56*s - 75. Let w be l(20). Let j(v) be the second derivative of -1/6*v**4 - w*v + 0 - v**3 - 3/2*v**2. Determine j(-4). -11 Suppose -15*c + 24*c = -72. Let r(h) = h + 2. Determine r(c). -6 Let h(t) = 2*t**2 + 16*t + 5. Let p = 443 - 450. Give h(p). -9 Let v(n) = n - 2*n + 4*n. Let k be (-2)/5 - (-2)/5. Suppose d + 8 - 4 = k. Determine v(d). -12 Let y(j) = -5*j**3 - j - 1. Let q = -1052 + 1050. What is y(q)? 41 Let i(k) be the first derivative of -k**6/360 + k**5/24 + k**4/12 + 4*k**3 + 8. Let t(c) be the third derivative of i(c). Calculate t(4). 6 Let w(t) be the first derivative of t**3/3 - t**2/2 + t - 19. Let u(k) = 4*k**2 - 9*k + 9. Let p(v) = -u(v) + 6*w(v). What is p(-3)? 6 Suppose 164 - 52 = 4*g. Suppose g*h - 25*h = 3. Let t(r) = -5*r + 1. Give t(h). -4 Let u(y) = -5*y + 2. Let n(l) = -6*l + 123. Let b be n(20). Give u(b). -13 Suppose 5*g = -3*j - 9, -g - 15 = 5*j - 0. Suppose 0 = s - 5*f - g*f + 14, -5*s - 2*f = -11. Let a(l) = -9*l**2 - 2*l + 1. Give a(s). -10 Let p = 33 + -28. Let g(k) be the second derivative of -3*k**2 - 5*k + k**3 + 0 - 1/12*k**4. Calculate g(p). -1 Let y(d) be the second derivative of -5*d**3/6 + 5*d**2/2 - 5*d. Let m be 2 - (-21)/(-9 - -16). Give y(m). -20 Let t(l) = -l**2 - 2*l + 5. Let k be (-6)/8*(-3104)/(-582). Calculate t(k). -3 Suppose 0 = -i + 2 - 17. Let h be (16/(-10))/(6/i). Let y(o) = -13*o**2 + 3*o - 3. Let n(b) = 2*b**2 + 1. Let z(v) = -6*n(v) - y(v). Give z(h). 1 Let q(u) = -13*u**2 - u + 1. Suppose 9*s = 2*d + 13*s - 14, -1 = 5*d - 2*s. Determine q(d). -13 Let p(z) = z**3 - 5*z + 2. Let w be p(-2). Suppose w*t - 18 + 6 = 0. Let a(m) be the second derivative of m**5/20 - m**4/4 - m**3/2 - m**2/2 - m. Give a(t). -10 Let a(q) = -18 + 5*q**2 - 4*q**2 + 16. Suppose -3*j - 1 = 5. Determine a(j). 2 Let l(t) = -4 + 647*t - 642*t + 0. What is l(1)? 1 Let d(r) = 3*r - 9. Let m be d(3). Let q(a) be the third derivative of -1/6*a**3 + 1/24*a**4 + m*a - 2*a**2 + 0. Give q(-5). -6 Let z(c) = 7*c + 17. Let a(n) = -n - 5. Let w(t) = 6*a(t) + z(t). Let g be (-69)/(-12) + (-2)/(-8). Determine w(g). -7 Let p(z) = -2*z**3 + 4*z**2 + 8*z - 23. Let g(u) = -3*u**3 + 9*u**2 + 15*u - 45. Let n(x) = -3*g(x) + 5*p(x). Let y be n(-5). Let a(s) = -s. Calculate a(y). 5 Let j = 628 - 634. Let b(q) = q**2 + 5*q - 10. Calculate b(j). -4 Let k(t) be the third derivative of -t**4/3 + 43*t**3/6 - 9*t**2. What is k(5)? 3 Let c(h) = h**2 - 19*h - 41. Suppose -14*j + 63 = -231. Calculate c(j). 1 Let q(m) be the third derivative of -m**4/24 - m**3/6 - 12*m**2. Give q(-8). 7 Let f(b) = 3*b**2 + 13*b + 3. Let z(d) = d**2 + 2*d - 1. Let x(i) = f(i) - 4*z(i). Determine x(6). 1 Suppose 0 = -2*b, -f - 5*b + 0 = -1. Let j(s) be the second derivative of -s**3/2 - s**2/2 - 675*s. Determine j(f). -4 Let v(b) = -3*b**2 - 12*b - 14. Let f be v(-8). Let h = -107 - f. Let n(a) = 0 + 5*a - 1 - 2. Give n(h). 12 Let y(v) be the second derivative of v**5/20 + 3*v**4/2 + 9*v**2/2 - 2*v + 17. Calculate y(-18). 9 Let t(g) be the third derivative of g**5/60 + g**4/12 - 4*g**3/3 - 14*g**2. Let l(q) be the first derivative of t(q). Calculate l(-6). -10 Let t(d) be the second derivative of -d**6/120 + 2*d**5/15 - d**4/3 + 4*d**3/3 - 9*d**2 + 14*d. Let h(q) be the first derivative of t(q). Calculate h(7). 1 Let p(m) = -6*m. Let s(y) = 27*y + 105. Let n be s(-4). Determine p(n). 18 Let o(j) = -4*j + 1. Let m(u) = 12*u - 2. Let q(n) = 3*m(n) + 10*o
{ "pile_set_name": "DM Mathematics" }
, -8976, -19370, -32074, -47088? -64412 What is the next term in 206411, 412598, 618785, 824972? 1031159 What is the next term in -351043271, -351043272, -351043273, -351043274, -351043275? -351043276 What is the next term in -2714185, -5428444, -8142691, -10856920, -13571125, -16285300? -18999439 What is next in 53345, 54176, 55003, 55826, 56645, 57460? 58271 What comes next: 3479, 3489, 3529, 3605, 3723, 3889? 4109 What comes next: -362718, -725401, -1088084, -1450767, -1813450, -2176133? -2538816 What is next in 27607, 52377, 77147? 101917 What is next in -12352685, -12352683, -12352681, -12352679? -12352677 What is next in -467078, -931231, -1395382, -1859531? -2323678 What is next in -46357, -92716, -139067, -185398, -231697, -277952? -324151 What is the next term in 2112104, 2111784, 2111464, 2111144, 2110824, 2110504? 2110184 What is the next term in -4758, -9524, -14314, -19134, -23990, -28888, -33834, -38834? -43894 What is the next term in 55891, 54588, 53285? 51982 What is next in -2686, -13422, -31322, -56386, -88614, -128006, -174562? -228282 What is next in -39936833, -39936832, -39936831, -39936830? -39936829 What is next in 9067881, 9067880, 9067879, 9067878, 9067877? 9067876 What comes next: -3339275, -3339270, -3339261, -3339248? -3339231 What is the next term in -78479, -156891, -235303? -313715 What is the next term in 3157, 6339, 11633, 19039? 28557 What is next in -4744, -9025, -12864, -16261, -19216? -21729 What is next in -2033, -5191, -8567, -12269, -16405, -21083, -26411, -32497? -39449 What is next in -1674, -1703, -1872, -2277, -3014, -4179, -5868, -8177? -11202 What is next in 95745, 95723, 95697, 95667, 95633? 95595 What comes next: 1230, 941, 162, -1353, -3850? -7575 What is next in -1744, -6405, -14136, -24907, -38688? -55449 What is the next term in 2084, 8636, 19662, 35162, 55136, 79584? 108506 What comes next: 116854, 116666, 116380, 116002, 115538, 114994, 114376? 113690 What is the next term in 623254, 1246508, 1869766, 2493028, 3116294? 3739564 What is the next term in -691, -1231, -1815, -2461, -3187, -4011, -4951? -6025 What comes next: -13833, -27349, -40867, -54381, -67885? -81373 What comes next: -57150, -57030, -56910, -56790? -56670 What comes next: 343, -96, -527, -956, -1389? -1832 What comes next: 12843, 39158, 65473? 91788 What comes next: 673, 1976, 3989, 6706, 10121, 14228, 19021? 24494 What is next in 14371, 57526, 129469, 230212, 359767, 518146, 705361? 921424 What is the next term in -457753, -915511, -1373273, -1831039, -2288809, -2746583? -3204361 What comes next: -12560, -12168, -11776, -11384, -10992? -10600 What is the next term in -18508, -9901, -1294, 7313, 15920? 24527 What is next in 84191, 168315, 252435, 336551? 420663 What is next in -81552, -81271, -80802, -80145, -79300, -78267? -77046 What comes next: -1119801, -4479581, -10079213, -17918697, -27998033, -40317221? -54876261 What is next in -3901, -4248, -4657, -4990, -5109, -4876, -4153? -2802 What is the next term in -1032, -5042, -12034, -22008, -34964, -50902, -69822? -91724 What is next in 269796081, 539592158, 809388235, 1079184312, 1348980389? 1618776466 What is next in -9929, -23208, -36489, -49772? -63057 What is the next term in -1235110, -2470217, -3705324, -4940431, -6175538, -7410645? -8645752 What comes next: -76740, -77027, -77504, -78171? -79028 What is next in 364229, 1457066, 3278461, 5828414, 9106925, 13113994, 17849621? 23313806 What is next in -3524153, -7048313, -10572473? -14096633 What is the next term in 648, 4366, 14484, 34212, 66760, 115338, 183156? 273424 What is next in 3327, 7439, 12347, 18057, 24575? 31907 What is next in 13988, 18896, 27092, 38588, 53396, 71528, 92996, 117812? 145988 What is next in 7670031, 15340104, 23010177, 30680250, 38350323? 46020396 What comes next: -56558, -113102, -169636, -226154, -282650, -339118? -395552 What is the next term in -256362, -512751, -769142, -1025535, -1281930? -1538327 What is the next term in -4429, -6682, -8935, -11188, -13441? -15694 What comes next: -1410991, -2821983, -4232975? -5643967 What is next in 21120746, 21120745, 21120744, 21120743, 21120742? 21120741 What is next in -5445, -21353, -47859, -84963, -132665? -190965 What is the next term in 18357674, 73430729, 165219148, 293722925, 458942054, 660876529? 899526344 What comes next: -205107, -410208, -615313, -820422, -1025535, -1230652, -1435773? -1640898 What is next in 8907, 35794, 80589, 143280, 223855, 322302? 438609 What is the next term in -16847921, -16847931, -16847947, -16847969, -16847997, -16848031, -16848071? -16848117 What comes next: 197224, 394410, 591562, 788662, 985692, 1182634, 1379470? 1576182 What is the next term in 30583, 60968, 91153, 121138, 150923, 180508? 209893 What is next in -8516, -8359, -8098, -7733, -7264, -6691? -6014 What is next in 200, -256, -1024, -2104? -3496 What comes next: 49, -55, -353, -941, -1915, -3371, -5405? -8113 What is the next term in -398574, -398600, -398620, -398634, -398642? -398644 What is next in -8950, -17483, -26016, -34549? -43082 What is next in -9484, -18527, -27592, -36679, -45788, -54919? -64072 What comes next: 97551, 397485, 897375, 1597221? 2497023 What is next in -501650, -501645, -501640, -501635, -501630, -501625? -501620 What is next in 31383, 62724, 94065, 125406, 156747? 188088 What comes next: -74127, -73431, -72265, -70623, -68499, -65887, -62781, -59175? -55063 What is next in 4989, 10029, 15141, 20361, 25725, 31269, 37029? 43041 What comes next: -97208, -388924, -875118, -1555790? -2430940 What is next in -1887458, -3774938, -5662402, -7549844, -9437258? -11324638 What is next in -1926825, -3853648, -5780471? -7707294 What comes next: 3159, 4229, 5287, 6327, 7343, 8329? 9279 What is next in 188881, 377678, 566475, 755272, 944069? 1132866 What is the next term in -609245, -609240, -609235, -609230, -609225, -609220? -609215 What is the next term in 846, 4203, 13346, 31167, 60558, 104411, 165618? 247071 What comes next: -31022, -56781, -82540, -108299, -134058? -159817 What is next in 11668, 22210, 32744, 43270, 53788? 64298 What comes next: -29517, -30397, -31277, -32157? -33037 What is next in -1736, -21478, -75096, -179528, -351712, -608586, -967088? -1444156 What is the next term in -59834, -119686, -179552, -239438, -299350, -359294, -419276, -479302? -539378 What comes next: 30152, 60336, 90556, 120818, 151128? 181492 What comes next: 23626, 47374, 71122? 94870 What is next in -138, -204, -290, -408, -570? -788 What comes next: -7423, -16230, -26429, -38020, -51003, -65378? -81145 What is next in -1435424, -1435419, -1435414, -1435409, -1435404? -1435399 What comes next: 1630, 5599, 11912, 20569, 31570, 44915? 60604 What is next in 10454, 20096, 29738? 39380 What comes next: -811506, -1609768, -2408040, -3206328, -4004638, -4802976, -5601348? -6399760 What comes next: -51352, -50511, -49672, -48835, -48000? -47167 What comes next: -8645, -10540, -12435, -14330, -16225? -18120 What is next in -2456448, -4912909, -7369372, -9825837? -12282304 What is the next term in -1232, -4886, -10944, -19412, -30296, -43602? -59336 What comes next: 10451336, 41805178, 94061572, 167220512, 261281992, 376246006? 512112548 What is the next term in 40125, 320928, 1083079, 2567244, 5014089, 8664280, 13758483, 20537364? 29241589 What comes next: -257766, -258150, -258790, -259686, -260838, -262246? -263910 What is the next term in -6365156, -6365162, -6365174, -6365192, -6365216, -6365246, -6365282? -6365324 What comes next: -1675045, -1674854, -1674663, -1674472? -1674281 What is the next term in -83856, -80932, -77998, -75048, -72076? -69076 What is the next term in -4529, -5765, -6987, -8195, -9389? -10569 What is next in -8160, -30745, -67742, -119145, -184948? -265145 What is the next term in -3913, -4836, -6375, -8530, -11301, -14688? -18691 What is the next term in 5579, 21501, 48023, 85133, 132819, 191069? 259871 What comes next: -44249, -85214, -126179, -167144, -208109, -249074? -290039 What is next in -111695, -225648, -339601, -453554? -567507 What is the next term in 952, 4550, 10798, 19684, 31196, 45322, 62050? 81368 What is next in -660, -1867, -3096, -4347, -5620, -6915, -8232? -9571 What is next in -38899856, -3
{ "pile_set_name": "DM Mathematics" }
xt term in -7118833, -7118845, -7118857? -7118869 What is next in 23545, 47459, 71371, 95281? 119189 What is next in -256230, -256290, -256354, -256422, -256494, -256570, -256650? -256734 What is next in -402182, -402190, -402198, -402206, -402214? -402222 What comes next: 10299859, 10299858, 10299857, 10299856, 10299855? 10299854 What comes next: -1151, -3981, -8569, -14921, -23043, -32941, -44621, -58089? -73351 What is next in -731906, -1463819, -2195732? -2927645 What is next in -1492, 4124, 19374, 49076, 98048, 171108? 273074 What is the next term in -29894, -59720, -89546, -119372? -149198 What comes next: -152, -474, -916, -1538, -2400, -3562? -5084 What is next in -182131, -364254, -546391, -728548, -910731, -1092946? -1275199 What comes next: -33782, -135097, -303948, -540335? -844258 What is next in 250, -416, -1806, -4280, -8198, -13920? -21806 What comes next: 85259803, 85259805, 85259807, 85259809? 85259811 What is next in -1745, -7399, -16827, -30029, -47005, -67755? -92279 What is next in 271356, 2170801, 7326434, 17366349, 33918640, 58611401? 93072726 What is the next term in 2840129, 2840105, 2840081, 2840057, 2840033, 2840009? 2839985 What is the next term in 382563879, 765127760, 1147691641, 1530255522? 1912819403 What is the next term in -268, 1241, 4500, 9521, 16316, 24897, 35276? 47465 What is the next term in -15369, -28226, -41083, -53940, -66797, -79654? -92511 What is next in 3016811, 3016820, 3016843, 3016886, 3016955, 3017056, 3017195, 3017378? 3017611 What is the next term in 1464912, 1464903, 1464894, 1464885, 1464876? 1464867 What is the next term in -45192653, -45192658, -45192663, -45192668, -45192673? -45192678 What is the next term in -392, -1305, -2270, -3287, -4356, -5477, -6650? -7875 What is next in 134, -146, -430, -718, -1010, -1306, -1606? -1910 What comes next: -96421452, -96421453, -96421454, -96421455, -96421456, -96421457? -96421458 What comes next: -3100953, -3100957, -3100961, -3100965, -3100969, -3100973? -3100977 What is the next term in -37294, -74565, -111830, -149089, -186342? -223589 What is next in 665, 4509, 14733, 34535, 67113, 115665, 183389? 273483 What is the next term in 158315, 153702, 149089? 144476 What is next in 73, 496, 1691, 4042, 7933, 13748? 21871 What is next in 4759475, 4759488, 4759501, 4759514, 4759527, 4759540? 4759553 What comes next: 7021, 12250, 15693, 17350, 17221, 15306? 11605 What is next in -47568, -46901, -45784, -44211, -42176, -39673, -36696, -33239? -29296 What is the next term in -292257491, -292257490, -292257489, -292257488, -292257487, -292257486? -292257485 What is next in -9462, -78559, -266132, -631425, -1233682, -2132147, -3386064, -5054677? -7197230 What comes next: -10226, -41417, -93398, -166169? -259730 What is next in -1771, -9199, -21581, -38917, -61207, -88451, -120649? -157801 What comes next: -6339543, -6339539, -6339535, -6339531, -6339527, -6339523? -6339519 What is next in 121176, 120936, 120284, 119016, 116928, 113816? 109476 What is the next term in 123216489, 246432979, 369649469, 492865959? 616082449 What is the next term in -1121, -4121, -9119, -16121, -25133, -36161? -49211 What is the next term in 940, 7709, 26154, 62119, 121448, 209985, 333574, 498059? 709284 What is the next term in 10919008, 10919018, 10919028, 10919038, 10919048? 10919058 What is next in 3882316, 3882405, 3882494, 3882583? 3882672 What is the next term in 895, 7246, 24475, 58018, 113311? 195790 What comes next: -12356373, -24712749, -37069125, -49425501, -61781877, -74138253? -86494629 What is the next term in 255391, 254561, 253731? 252901 What is next in 4865, 10426, 16317, 22532, 29065, 35910, 43061, 50512? 58257 What is the next term in -3374, -3249, -2996, -2615, -2106, -1469? -704 What is next in 85619, 85552, 85485, 85418? 85351 What comes next: 26024, 104001, 233964, 415913? 649848 What is the next term in 916, 3347, 7312, 12811, 19844, 28411? 38512 What is next in -76992423, -307969698, -692931823, -1231878798, -1924810623? -2771727298 What is next in 4483, 16603, 36575, 64393, 100051, 143543? 194863 What is the next term in 31038, 56817, 82596, 108375, 134154? 159933 What is next in 71780, 71775, 71772, 71777, 71796? 71835 What comes next: 16541, 13535, 10527, 7517, 4505? 1491 What is next in -240796, -481398, -721998, -962596, -1203192, -1443786? -1684378 What comes next: 32659645, 65319278, 97978911, 130638544? 163298177 What is next in 125658, 251291, 376924, 502557, 628190, 753823? 879456 What is next in -25801695, -51603391, -77405087? -103206783 What is next in 1825, 5748, 11771, 19894, 30117, 42440? 56863 What comes next: 6712330, 6712335, 6712340, 6712345, 6712350, 6712355? 6712360 What comes next: -8059, -17060, -27023, -37954, -49859, -62744? -76615 What is next in 251825, 503641, 755459, 1007279, 1259101, 1510925, 1762751? 2014579 What comes next: 225, 675, 1129, 1593, 2073? 2575 What is the next term in 3288, 6697, 10102, 13503, 16900, 20293, 23682? 27067 What is the next term in -28829, -50556, -72283? -94010 What comes next: -953282, -953274, -953266, -953258, -953250? -953242 What is next in -5637, -6614, -7591? -8568 What is next in -1738, -1816, -2116, -2644, -3406, -4408, -5656? -7156 What is next in -488, -1293, -2420, -3869, -5640, -7733, -10148? -12885 What is next in 22966, 184186, 622204, 1475554, 2882770, 4982386, 7912936, 11812954? 16820974 What comes next: 412179, 412046, 411913? 411780 What comes next: 4513537, 4513545, 4513553, 4513561, 4513569? 4513577 What comes next: 995757, 3982816, 8961245, 15931044, 24892213, 35844752? 48788661 What is next in -962, -1102, -1330, -1694, -2242, -3022, -4082? -5470 What is the next term in 13544, 13337, 13108, 12857, 12584, 12289? 11972 What comes next: 1736241, 1736257, 1736285, 1736325, 1736377, 1736441, 1736517? 1736605 What is next in -1344207, -10753837, -36294299, -86031009, -168029383? -290354837 What is next in -1363345, -2726696, -4090049, -5453404, -6816761, -8180120? -9543481 What is next in 26797, 108462, 244643, 435346, 680577, 980342, 1334647? 1743498 What is the next term in 6710, 6846, 6982, 7118? 7254 What is the next term in -284780196, -569560390, -854340584, -1139120778? -1423900972 What comes next: 9807, 19173, 28539, 37905, 47271, 56637? 66003 What is next in 93176, 93168, 93156, 93134, 93096? 93036 What is next in -67209, -63369, -59529, -55689, -51849? -48009 What comes next: 319257, 319081, 318905, 318729, 318553? 318377 What is the next term in 91507, 365978, 823427, 1463854? 2287259 What is the next term in -9027, -17594, -25697, -33336, -40511, -47222, -53469? -59252 What comes next: -4033, -3235, -2155, -787, 875, 2837, 5105, 7685? 10583 What comes next: -427, -526, -699, -946, -1267? -1662 What is next in -318643, -318612, -318553, -318460, -318327, -318148, -317917? -317628 What is the next term in 2518300, 2518367, 2518420, 2518453, 2518460, 2518435, 2518372? 2518265 What comes next: 17365302, 17365299, 17365296, 17365293, 17365290, 17365287? 17365284 What is the next term in 23490, 22556, 21622, 20688, 19754, 18820? 17886 What is the next term in -217374, -434724, -652074, -869424, -1086774? -1304124 What comes next: 13784602, 27569205, 41353808, 55138411, 68923014, 82707617? 96492220 What is next in -348, -690, -1034, -1380? -1728 What is next in 36333, 72713, 109131, 145587, 182081, 218613, 255183? 291791 What is next in -312, -432, -190, 588, 2076? 4448 What comes next: 785613, 1571213, 2356755, 3142209, 3927545? 4712733 What is the next term in 61469, 122909, 184321, 245705, 307061, 368389? 429689 What comes next: -10484, -83840, -282872, -670394, -1309220, -2262164, -3592040, -5361662? -7633844 What comes next: 608145, 2432545, 5473213, 9730149, 15203353, 21892825? 29798565 What comes next: -51989, -54225, -56447, -58649, -60825? -62969 What is next in 104, 126, 164, 230, 336, 494? 716 What comes next: -5728237, -11456471, -17184705, -22912939, -28641173? -34369407 What is next in -3855, -1165, 1535, 4251, 6989, 9755? 12555 What is next in -167, 49, 247, 427, 589, 733? 859 What is the next term in 277344, 1109402, 2496296, 4438134, 6935024, 9987074? 13594392 What is next in -368160, -736413, -1104856, -1473585, -1842696, -2212285, -2582448, -295
{ "pile_set_name": "DM Mathematics" }
at is 2018 - -18? 2032 In base 15, what is -39e - -1e? -380 In base 4, what is -311130 + 3? -311121 In base 8, what is -103 + -2353? -2456 In base 4, what is -1001013 - -12? -1001001 In base 12, what is 15132 - 7? 15127 In base 12, what is -20022 + -4? -20026 In base 5, what is 321421 + 43? 322014 In base 11, what is -27 - -2681? 2655 In base 3, what is 2 + -11101122120? -11101122111 In base 12, what is -108 + -156? -262 In base 9, what is -14784880 + 3? -14784876 In base 13, what is 87 - c2? -38 In base 11, what is 2 + 771a? 7721 In base 14, what is 4 + 164bd? 164c3 In base 4, what is -1 + 12120031? 12120030 In base 7, what is 1115155 + -25? 1115130 In base 9, what is -185436 + -4? -185441 In base 6, what is 5 - 1305544? -1305535 In base 4, what is -2 - 12001? -12003 In base 6, what is -4 - -5304330? 5304322 In base 13, what is 1164 - -18b? 1322 In base 14, what is -1386 + -17? -139d In base 7, what is 13300 - -62? 13362 In base 14, what is 3149 + 2? 314b In base 2, what is 1011111110110 + 111? 1011111111101 In base 2, what is -11111111010101011 + 0? -11111111010101011 In base 15, what is 1368b0 - -5? 1368b5 In base 12, what is -2224b - -18? -22233 In base 3, what is 111 - -1000110121? 1000111002 In base 9, what is 506854 + 3? 506857 In base 16, what is -2d53 - a? -2d5d In base 13, what is 11 - -9b37? 9b48 In base 16, what is -2690 + -19? -26a9 In base 15, what is cb0e + 1? cb10 In base 4, what is -13132131331 - 3? -13132132000 In base 16, what is 7 - 1c4e? -1c47 In base 2, what is 1010111010 - 111? 1010110011 In base 8, what is -2463 + 701? -1562 In base 15, what is 4 + -34e09? -34e05 In base 16, what is -3 - 35fb? -35fe In base 13, what is 19178 + 2? 1917a In base 9, what is 58 + -11561? -11502 In base 14, what is 8aa + 28b? b57 In base 12, what is -346b - -1a1? -328a In base 15, what is 18b3 + -2? 18b1 In base 4, what is 32030002130 - -3? 32030002133 In base 9, what is 23620 - -17? 23637 In base 6, what is -14522 - 1030? -15552 In base 4, what is 311 + -1021103? -1020132 In base 15, what is -265 + 4? -261 In base 5, what is 101 - 2224244? -2224143 In base 6, what is -223 - -23035? 22412 In base 2, what is -10000001001011 + 11001? -10000000110010 In base 6, what is -24 + 1141? 1113 In base 12, what is 2b2676 + -1? 2b2675 In base 10, what is -25 - -92879? 92854 In base 16, what is 5 + -fc402? -fc3fd In base 15, what is -105 - -86? -6e In base 14, what is -da0a + 0? -da0a In base 2, what is 1101 - -101011111000? 101100000101 In base 13, what is -37 + 3430b? 342a4 In base 8, what is -3254035 - -4? -3254031 In base 5, what is -3 + 1102433? 1102430 In base 11, what is -16 - 184a6? -18511 In base 9, what is 34 - -7620? 7654 In base 14, what is 2087 - -3? 208a In base 8, what is 0 - 147042? -147042 In base 13, what is 4c3b - -6? 4c44 In base 7, what is -3 + 6? 3 In base 7, what is 256045 - 3? 256042 In base 6, what is 10 + -145343? -145333 In base 16, what is 0 - -2e442? 2e442 In base 11, what is -76642a - 3? -766432 In base 5, what is -124113312 + -3? -124113320 In base 15, what is -5dd + -61e? -c0c In base 14, what is -420b7 + a? -420ab In base 16, what is 1 + -62b33? -62b32 In base 7, what is 406563 - -2? 406565 In base 10, what is 5504 - 4? 5500 In base 10, what is 119316 - 0? 119316 In base 16, what is 6cbc + -4? 6cb8 In base 6, what is 3 + 230442? 230445 In base 13, what is 9741 + -9? 9735 In base 9, what is 26 + -1718? -1682 In base 12, what is -1a123 - 6? -1a129 In base 10, what is 1 - 72383? -72382 In base 15, what is -8000 - -3? -7eec In base 3, what is 1 + 100110220? 100110221 In base 6, what is 13203 + -221? 12542 In base 10, what is -1 + 21337? 21336 In base 2, what is 11111100110 - -11111100? 100011100010 In base 7, what is 4435 - 130? 4305 In base 6, what is -304504 + 14? -304450 In base 3, what is -1120110202 + -20222? -1120201201 In base 11, what is 81 + 208? 289 In base 8, what is -44741 + 31? -44710 In base 14, what is 8641 - -6? 8647 In base 10, what is 3 - 4593? -4590 In base 10, what is 50 - 958? -908 In base 11, what is 65a62 + 4? 65a66 In base 13, what is -2c + -5a8? -607 In base 10, what is 25093 + -8? 25085 In base 4, what is 0 + -1023103? -1023103 In base 13, what is -158 - 23? -17b In base 5, what is 0 - 1321442? -1321442 In base 8, what is 30367 - 44? 30323 In base 8, what is 755331 - -4? 755335 In base 6, what is -1012 - 21441? -22453 In base 12, what is -2a + 41? 13 In base 14, what is 3 + -65bc? -65b9 In base 11, what is -4808 - 6? -4813 In base 7, what is 500 - 660? -160 In base 2, what is -100100010110010011 + -10? -100100010110010101 In base 10, what is 35667 + 1? 35668 In base 3, what is 10001 - -1010221? 1020222 In base 14, what is -1c9 - -65d? 474 In base 5, what is -10 + 403344? 403334 In base 10, what is -56756 - 2? -56758 In base 9, what is -4 - -215572? 215567 In base 15, what is -8caa2 + 5? -8ca9c In base 2, what is 11000000000 + 1000? 11000001000 In base 9, what is -146 - 582? -738 In base 5, what is -33400 - 44? -33444 In base 4, what is -32302 + -1322? -100230 In base 3, what is 1022 + 1002200200? 1002201222 In base 7, what is -21 - 456562? -456613 In base 2, what is -1001101010111100001 - -1? -1001101010111100000 In base 10, what is -760 - 133? -893 In base 3, what is 1 - 101002121? -101002120 In base 5, what is 4 + 2413313? 2413322 In base 7, what is -3 - 301425? -301431 In base 16, what is 2f - 8e? -5f In base 13, what is -5 + 237654? 23764c In base 9, what is -2163 - -1113? -1050 In base 10, what is -43 + 107? 64 In base 6, what is -42 - 10551? -11033 In base 13, what is -4 + 3a71? 3a6a In base 8, what is 166 - 50? 116 In base 11, what is 1377 + -139? 1239 In base 11, what is -3a1647 - -2? -3a1645 In base 2, what is 100011000011001010 - 101? 100011000011000101 In base 14, what is -6549 + 3? -6546 In base 5, what is -4134 + 30? -4104 In base 16, what is -1aa66 - -c? -1aa5a In base 10, what is -8825 + -10? -8835 In base 2, what is -11011011110 - -1011? -11011010011 In base 8, what is 10 - -13530? 13540 In base 12, what is 12 - -28a86? 28a98 In base 13, what is -977 - -24? -953 In base 4, what is 30 - -21323030? 21323120 In base 3, what is -120200022 + 2210? -120120112 In base 6, what is -22 - 1150? -1212 In base 4, what is 3213100 + 10? 3213110 In base 7, what is -352 - -62311? 61626 In base 14, what is 57a0 - -14d? 590d In base 10, what is -2034 - 17? -2051 In base 10, what is 17313 - -13? 17326 In base 5, what is 4 + -1322031? -1322022 In base 16, what is -3 + 2e82? 2e7f In base 6, what is 1213244 - -5? 1213253 In base 6, what is 1023554 + -31? 1023523 In base 10, what is 1 + 28313? 28314 In base 7, what is -42126 + 122? -42004 In base 15, what is -3 - 436? -439 In base 4, what is 20300032 + 0? 20300032 In base 5, what is -12 + -1130? -1142 In base 16, what is -33d1 + -d? -33de In base 6, what is -203 + -45? -252 In base 6, what is 3030 - -33? 3103 In base 13, what is 4 + -6516? -6512 In base 2, what is -1011101000100100001 - 10? -1011101000100100011 In base 13, what is -9 - 38aa? -38b6 In base 10, what is 498 + 234? 732 In base 10, what is -64 + 2196? 2132 In base 14, what is -ba336 - 5? -ba33b In base 3, what is 10 + 111002220? 111010000 In base 5, what is -3123341 - -4? -3123332 In base 8, what is 310 - -12340? 12650 In base 14, what is 98 + -da? -42 In base 15, what is 1adc - e? 1acd In base 7, what is -4214255 - -2? -4214253 In base 15, what is 3b + -562? -526 In base 3, what is 111211120 - 11? 111211102 In base 16, what is 109f + -6? 1099 In base 12, what is 7a7 + -7? 7a0 In base 7, what is -3 + -252142? -252145 In base 10, what is 132523 + -9? 132514 In base 9, what is 3 + -2523416? -2523413 In base 8, what is -24765 + 114? -24651 In base 3, what is 100010 - -101? 100111 In base 15, what is 1847a + -5? 18475 In base 3, what is -2000010 + 101? -1222202 In base 13, what is 0 + -12368? -12368 In base 6, what is 23340 - -152? 23532 In base 2, what is 11001110111 - -100011110? 11110010101 In base 15, what is -17b6a - 4? -17b6e In base 15, what is -1184e - -5? -11849 In base 13, what is -3 + 234? 231 In base 12, what is -29 - -5316? 52a9 In base 10, what is 1 + -17655? -17654 In base 5, what is -40043 - 143? -40241 In base 4, what is 201202023 + -13? 201202010 In base 9, what is 52 + 2868? 30
{ "pile_set_name": "DM Mathematics" }
rivative of 1 + 0*m - 2/3*m**3 + u*m**2. Factor f(y). -2*y**2 Let w be (-2)/(-3)*522/1. Find m, given that 9*m**4 + 12*m**4 - w*m**5 + 336*m**5 + 6*m**3 = 0. -1/4, 0, 2 Let z(l) be the first derivative of 3*l**2 - 2/3*l**3 - 3 + 8*l. Find s such that z(s) = 0. -1, 4 Suppose -12 = -5*s + 8. Factor -4*x**4 - s + 4 + 2*x**4. -2*x**4 Let t = -122 - -611/5. Let z(a) be the first derivative of -8/15*a**3 + 5 + 0*a + t*a**2. Factor z(n). -2*n*(4*n - 1)/5 Let o be ((-2)/4)/(3/54). Let m = 12 + o. Determine c, given that c**2 - c**3 - c**3 + 2*c**m + c**3 = 0. -1, 0 Factor 448*g**2 + 439*g + 23*g - 451*g**2 + 168 - 627. -3*(g - 153)*(g - 1) Let l = 686 + -684. Determine d so that 5/4*d**3 + 15/4*d - 5/4 - 15/4*d**l = 0. 1 Factor 3*s**5 + 6*s**4 - s**4 + 0*s**5 + 4*s**4 - 9*s**2 + 12*s - 15*s**3. 3*s*(s - 1)**2*(s + 1)*(s + 4) Let q(w) be the third derivative of w**8/1008 - 29*w**7/1260 + 7*w**6/80 - 7*w**5/72 - 13*w**4/144 + w**3/3 + 32*w**2 + 2*w. Let q(g) = 0. Calculate g. -1/2, 1, 12 Let h(b) be the third derivative of 2*b**7/735 + b**6/70 + b**5/35 + b**4/42 - 7*b**2 + 2. Factor h(t). 4*t*(t + 1)**3/7 Let p(g) be the first derivative of g**6/120 - 2*g**5/15 - 3*g**4/8 + 2*g**2 - 2*g + 35. Let x(r) be the second derivative of p(r). Factor x(k). k*(k - 9)*(k + 1) Let d(s) = -2*s**3 - 15*s**2 + 8*s + 2. Let w be d(-8). Let l(y) be the third derivative of 0 + 0*y + 1/168*y**4 - 1/420*y**5 + w*y**2 + 1/21*y**3. Factor l(n). -(n - 2)*(n + 1)/7 Factor 0 - 4/3*q**2 + 20/3*q**3 - 32/3*q**4 + 16/3*q**5 + 0*q. 4*q**2*(q - 1)*(2*q - 1)**2/3 Let r(j) be the third derivative of j**5/240 + j**4/32 - 9*j**3/4 - 3*j**2 - 24*j. Factor r(u). (u - 6)*(u + 9)/4 Let c(d) be the second derivative of -d**5/30 - 19*d**4/6 - 99*d**3 - 729*d**2 + 577*d. Factor c(n). -2*(n + 3)*(n + 27)**2/3 Let r(x) = 3*x**3 + 9*x**2 + 2. Let g(u) = -16*u**3 - 43*u**2 - 11. Let l(s) = -4*g(s) - 22*r(s). Determine y so that l(y) = 0. -13, 0 Let a be (16/12)/((-12)/(-549)). Let y be (2/(-1))/2 - (a - 64). Let 0 + 0*o**y + 2/3*o**4 + 0*o + 0*o**3 = 0. Calculate o. 0 Suppose -14/5*v - 36/5 + 2/5*v**2 = 0. Calculate v. -2, 9 Let t(p) = -4*p**2 + 3 + p**2 + 7*p**2 - 8*p**2. Let r(b) = 4 - 4 - b**2. Let m(x) = -r(x) + t(x). Factor m(o). -3*(o - 1)*(o + 1) Suppose 12*d = 14*d - 10. Find z such that -2*z**d + 2*z**3 - 2*z**3 - 4*z**4 - 2*z**3 = 0. -1, 0 Suppose 0 = 2*g - v + 33, -2*v + 3*v - 1 = 0. Let z(m) = -m - 14. Let k be z(g). Suppose 0*n + 0 - 10/3*n**3 - 4/3*n**4 + 10/3*n**5 + 4/3*n**k = 0. Calculate n. -1, 0, 2/5, 1 Let i(m) be the third derivative of m**7/2940 - m**6/420 + m**4/21 + 13*m**3/6 - 14*m**2. Let j(c) be the first derivative of i(c). Factor j(x). 2*(x - 2)**2*(x + 1)/7 Let d(c) = c**4 - c + 1. Let o(l) = 12*l**4 - 21*l**3 - 42*l**2 - 21*l + 6. Let z(k) = -6*d(k) + o(k). Determine a, given that z(a) = 0. -1, -1/2, 0, 5 Let i(f) be the second derivative of -f**5/30 + 2*f**4/9 - 4*f**3/9 + f - 191. Find q, given that i(q) = 0. 0, 2 Let a = 55278/5 + -11054. Factor a*k**3 + 4/5 + 4/5*k**4 - 8/5*k**2 - 4/5*k - 4/5*k**5. -4*(k - 1)**3*(k + 1)**2/5 Let l = 11032 + -11030. Factor 1/5*i**2 + l*i + 5. (i + 5)**2/5 Let t(m) be the third derivative of 14*m**2 + 0*m**6 + 0*m**3 + 0*m**4 - 1/840*m**7 + 0*m + 1/240*m**5 + 0. Determine x so that t(x) = 0. -1, 0, 1 Let h(x) be the first derivative of -10*x**2 - 9 - 25*x + 5/3*x**3. Determine l so that h(l) = 0. -1, 5 Let d be 0 - (415/(-540) - 6/(-8)). Let q(n) be the second derivative of -2/9*n**2 - 1/27*n**3 + 0 - 4*n + d*n**4. Determine h so that q(h) = 0. -1, 2 What is b in 3*b**2 + b**4 - 4*b**4 - 303*b**3 + 164*b**3 - 15*b + 154*b**3 = 0? -1, 0, 1, 5 Let h(x) be the second derivative of -x**7/14 - 9*x**6/5 - 96*x**5/5 - 112*x**4 - 384*x**3 - 768*x**2 + 75*x + 1. Factor h(t). -3*(t + 2)*(t + 4)**4 Let z be (13/13)/(6/(-422)). Let g = z + 71. What is w in -8/3 - 8/3*w - g*w**2 = 0? -2 Suppose 46282*f - 46304*f = 0. Solve 12/5*u**4 + 0*u + f + 8/5*u**2 - 18/5*u**3 - 2/5*u**5 = 0. 0, 1, 4 Determine t, given that -2*t**2 - 63*t + 0*t**2 + 51 + 5*t**2 - 20*t + 29*t = 0. 1, 17 Let t(m) be the first derivative of -m**7/420 + m**5/24 - m**3/3 + 15*m**2 + 27. Let h(u) be the second derivative of t(u). Determine q, given that h(q) = 0. -2, -1, 1, 2 Let i(j) be the third derivative of 0 - 1/4*j**4 + 1/30*j**5 + 0*j - 14*j**2 + 2/3*j**3. Solve i(r) = 0. 1, 2 Let f(k) be the second derivative of -1/105*k**6 + 0*k**5 - 13*k + 0*k**4 - 1/147*k**7 + 0*k**3 + 0 + 0*k**2. Solve f(z) = 0. -1, 0 Let x(o) be the first derivative of o**4/24 - 13*o**3/18 - 5*o**2/2 - 27. Factor x(p). p*(p - 15)*(p + 2)/6 Let r(n) = -n - 5. Let y be r(-10). Determine j, given that -y*j**3 - 3 + 4 - 1 - 5*j**2 = 0. -1, 0 Factor 12 - 32 - 23 - 5 + b + 2*b**2 + 3*b. 2*(b - 4)*(b + 6) Suppose -10*l**2 - 2/5*l**3 - 46/5 - 94/5*l = 0. What is l? -23, -1 Factor 41/2*f + 5/2*f**2 + 4. (f + 8)*(5*f + 1)/2 Let n(s) be the second derivative of -1/14*s**4 + 0 - 1/70*s**5 + 0*s**3 + 0*s**2 - 16*s. What is l in n(l) = 0? -3, 0 Suppose 4*v + 4 = 3*d - 2, 4*v + 5*d - 10 = 0. Suppose s + 3 - 7 = v. Factor -5*o**2 + 4*o**3 - 3*o**s + 2*o**4 - 86 + 2*o + 86. -o*(o - 2)*(o - 1)**2 Let r(v) be the second derivative of -v**6/135 + 7*v**5/90 - 7*v**4/54 - 5*v**3/9 - 3*v - 31. Factor r(i). -2*i*(i - 5)*(i - 3)*(i + 1)/9 Let y(u) = -u + 14. Let s be y(11). Suppose s*l + 3 = 4*c, -5 = -10*c + 13*c + 5*l. Factor -3/2*w**2 + c*w + 3/4*w**3 + 0. 3*w**2*(w - 2)/4 Factor -12*h**3 - 332*h + 18*h**2 + 6*h**3 - 24 - 9*h**3 + 3*h**4 + 344*h. 3*(h - 2)**3*(h + 1) Suppose -2*n + 4*q + 4 = -5*n, 5*n + q = -1. Let f(j) be the third derivative of 0 - 1/12*j**4 - 1/60*j**5 + n*j + 6*j**2 + 1/2*j**3. Factor f(c). -(c - 1)*(c + 3) Let i be (-3 - (-58)/4) + 65 + -72. Factor 0 + i*t**2 - 3*t - 3/2*t**3. -3*t*(t - 2)*(t - 1)/2 Let h(m) be the third derivative of -m**5/120 + 17*m**4/48 + 3*m**3/2 - 86*m**2. Solve h(l) = 0. -1, 18 Let -48 - 1488/7*k**2 - 1692/7*k - 387/7*k**3 - 12/7*k**4 = 0. What is k? -28, -2, -1/4 Let g(i) be the first derivative of -i**5/60 + i**4/8 - i**3/3 + 3*i**2 - 2. Let f(j) be the second derivative of g(j). Determine x, given that f(x) = 0. 1, 2 Let j = -233 - -9323/40. Let m(b) be the second derivative of 0*b**3 + 0*b**2 + 0 + 1/120*b**6 - 4*b + 3/16*b**4 - j*b**5. Factor m(p). p**2*(p - 3)**2/4 Let c(k) be the third derivative of -k**6/24 + 5*k**5/12 + 55*k**4/6 + 50*k**3 + 85*k**2 - 1. Factor c(i). -5*(i - 10)*(i + 2)*(i + 3) Let t(m) be the second derivative of -21*m**6/10 - 24*m**5/5 - 111*m**4/28 - 9*m**3/7 - 4*m - 1. Factor t(f). -3*f*(3*f + 2)*(7*f + 3)**2/7 Let v be (-2)/(-5)*1 - (-91)/35. Let -4*o**3 + 42*o**2 - 33*o**2 + o**v + 15 + 27*o = 0. What is o? -1, 5 Let s(u) = u**2 + 4*u - 137. Let g be s(-14). Factor -9/7*p**4 + 0 + 6/7*p**g + 0*p**2 + 3/7*p**5 + 0*p. 3*p**3*(p - 2)*(p - 1)/7 Let s(a) = a**3 + 2*a**2 - a + 1. Let d be s(-2). Suppose -6 = -d*v + v. Solve 0 + k**2 - 3/2*k**v + 0*k = 0 for k. 0, 2/3 Let v = 6030 + -6027. Factor 2/5*u**2 + 2/5*u**4 + 0*u + 0 + 4/5*u**v. 2*u**2*(u + 1)**2/5 Let w(b) be the third derivative of -b**7/1050 + b**6/100 + 7*b**5/300 - 7*b**2 - 1. Factor w(d). -d**2*(d - 7)*(d + 1)/5 Let g be -2 + 21140/25 + 1. Let a = g - 841. Factor a + 12/5*q + 2/5*q**2. 2*(q + 3)**2/5 Let c(n) be the third derivative of n**9/7560 + n**8/1680 + n**7/1260 + n**4/6 - 6*n**2. Let d(i) be the second derivative of c(i). Let d(u) = 0. What is u? -1, 0 Solve -16 + 4/3*o + 2/3*o**2 = 0. -6, 4 Let d = -13725/7 + 1961. Factor 12/7 - d*w**2 - 2/7*w. -2*(w - 2)*(w + 3)/7 Let o be ((-10)/5*360/32)/(-6). Factor 3*v - 3/4*v**2 + o. -3*(v - 5)*(v + 1)/4 Let b(v) be the first derivative of 2*v**3/3 + 36*v**2 + 648*v - 14. Factor b(s). 2*(s + 18)**2 Factor -34508 + 90*j**2 + 652 - 337*j - 399*j - 94*j**2. -4*(j + 92)**2 Find b, given that 46*b + 2*b**3 - 48 - 24*b**2 + 39*b - 30*b - 25*b + 40*b = 0. 1, 3, 8 Let h(t) be the third derivative of 1/30*t**5 + 0 + 0*t - 1/6*t**4 + 13*t**2 + 0*t**3. Solve h(a) = 0. 0, 2 Let z(j) = -7*j**3 + 6*j**2 + j - 6. Let t = -3 - -10. Let u(x) = 5*x**2 - 2*x**2 - 8*x**3 - 8 + 4*x**2 + 1 + x. Let o(w) = t*z(w) - 6*u(w). Factor o(k). -k*(k - 1)*(k + 1) Let a(t) = 9*t**2 - 34*t + 5. Let s(r) = 4*r**2 - 18*r + 2. Let o(z) = 2*a(z) - 5*s(z). Let o(k) = 0. W
{ "pile_set_name": "DM Mathematics" }