?
-1, -2/5, 0, 1/4
Let x = 1583/2 + -784. Let q(k) be the second derivative of x*k**3 + 0 - 5/2*k**4 - k + 1/4*k**5 + 0*k**2. Let q(l) = 0. What is l?
0, 3
Let i(u) be the first derivative of 9*u**4 - 56*u**2 + 64*u - 4264. Factor i(t).
4*(t + 2)*(3*t - 4)*(3*t - 2)
Let y(k) = -9*k**3 - 21*k**2 - 15*k - 15. Let g be 8*(3 + 60/(-16)). Let x(u) = -5 + 1 + u**2 + 5 + u**3 + 3*u - 4*u. Let d(c) = g*x(c) - y(c). Factor d(i).
3*(i + 1)**2*(i + 3)
Let j(h) = -59*h - 880. Let i be j(-15). Let c be (-2)/((-2)/i)*6/25. Let -6/5*q**2 + 2/5*q**3 + c - 2/5*q = 0. What is q?
-1, 1, 3
Let 1/4*n**4 - 6*n - 17/2*n**3 - 45 + 121/4*n**2 = 0. What is n?
-1, 2, 3, 30
Factor -31*y**2 - 31*y**2 - 248 + 96*y**2 - 26*y**2 - 990*y.
2*(y - 124)*(4*y + 1)
Suppose -4*m = 2*w + m + 2, -2*w = -m - 22. Suppose 13 - 31 = -d + 5*h, -2*h = -4*d + 18. Determine p, given that w*p - 10*p + 9*p + 4*p + 9*p**d + 24*p**2 = 0.
-2, -2/3, 0
Factor 835/2*q**2 + 2225/2 + 5*q**3 - 2435*q.
5*(q - 5)*(q + 89)*(2*q - 1)/2
Let a = 5900 - 5895. Let g(s) be the first derivative of -14 + 10*s + 7*s**a + 25/2*s**2 - 15*s**3 - 25/4*s**4. Find n such that g(n) = 0.
-1, -2/7, 1
Let r(u) = 13*u**3 - 5*u**2 + 8*u + 96. Let m(y) = -4*y**3 + 2*y**2 - 2*y - 28. Let s(w) = 7*m(w) + 2*r(w). Suppose s(j) = 0. What is j?
-1, 1, 2
Factor -43126566*x**2 - 751*x**3 - 50143229903356 + 11968136928576 + x**4 - 9973*x**3 - 77081548964*x - 2*x**4 - 13488815218341.
-(x + 2681)**4
Let r(i) be the second derivative of -i**8/84 + 8*i**7/105 - i**6/6 + 2*i**5/15 - 19*i**2/2 + 5*i - 2. Let y(f) be the first derivative of r(f). Factor y(n).
-4*n**2*(n - 2)*(n - 1)**2
Factor 6 + 54*y - 85*y + 41*y - 2 - 188*y - 182*y**2.
-2*(y + 1)*(91*y - 2)
Let s(b) be the first derivative of 0*b + 0*b**2 - 6/5*b**5 + 31 + 8/3*b**3 + 0*b**4 - 1/3*b**6. Factor s(f).
-2*f**2*(f - 1)*(f + 2)**2
Let d(r) be the third derivative of r**7/385 - 397*r**6/660 + 13*r**5/33 + 2*r**4 + 12*r**2 - 9*r + 1. Suppose d(w) = 0. What is w?
-2/3, 0, 1, 132
What is p in -4887993580*p**2 - 2*p**5 + 334772054 - 10902620*p**3 - 8090*p**4 + 9808727390*p - 3118908651 - 340558551 - 1785127950 = 0?
-1349, 1
Let l(z) be the second derivative of z**7/112 + 3*z**6/40 + 3*z**5/40 - 3*z**4/16 - 5*z**3/16 - 451*z. Let l(q) = 0. Calculate q.
-5, -1, 0, 1
Let r(d) = -d**3 + d**2 + 4*d + 2. Let w(s) = 14*s**3 - 1048*s**2 + 357023*s - 41063651. Let l(b) = 52*r(b) + 4*w(b). Suppose l(h) = 0. Calculate h.
345
Let a(v) be the second derivative of 6 - 8*v + 1/48*v**3 + 1/16*v**2 - 1/96*v**4 - 1/160*v**5. Factor a(w).
-(w - 1)*(w + 1)**2/8
Let y(h) be the first derivative of -h**6/90 - 2*h**5/5 - 67*h**3/3 - 136. Let b(u) be the third derivative of y(u). Factor b(t).
-4*t*(t + 12)
Let r = 866 - 733. Determine n, given that 28*n**3 + 191*n + 4*n**3 + r*n - 12*n**3 + 152*n**2 + 144 = 0.
-4, -3, -3/5
Let s(k) be the third derivative of k**7/105 + 19*k**6/60 - 7*k**5/30 - 1027*k**4/12 + 338*k**3 - k**2 + 5234. Factor s(p).
2*(p - 6)*(p - 1)*(p + 13)**2
Let q = -8860/19 + 80462/171. Determine x so that -q + 26/3*x - 14/3*x**2 + 2/9*x**3 = 0.
1, 19
Let k(f) be the second derivative of f**4/27 + 58*f**3/27 + 12*f**2 + 8239*f. Factor k(x).
4*(x + 2)*(x + 27)/9
Let q(b) = 660*b**2 - 29045*b + 425910. Suppose 0 = 4*i - 4*o + 8, i - 6*i - o = -8. Let p(y) = y**3 - y - 2. Let t(d) = i*q(d) - 5*p(d). Solve t(n) = 0 for n.
44
Let g(y) be the third derivative of 3*y**6/160 - 53*y**5/16 - 533*y**4/96 - 89*y**3/24 - 10*y**2 - 6. Factor g(h).
(h - 89)*(3*h + 1)**2/4
Let n(c) = 7*c**2 - c + 2. Let u(s) = -16*s**2 - 87*s + 219. Let j(x) = -3*n(x) - u(x). Find l, given that j(l) = 0.
3, 15
Suppose 1 = r, 1 = -10*j + 11*j - r. Let l(h) be the second derivative of 1/9*h**j + 0*h**4 + 2/27*h**3 - 1/45*h**5 + 0 - 1/135*h**6 + 25*h. Solve l(k) = 0.
-1, 1
Suppose -18 = -0*h + 3*h - 74 - 19. Suppose 25/2*g**2 - 25/4*g**3 + h*g - 15/4*g**4 + 10 = 0. What is g?
-2, -1, -2/3, 2
Let r(n) = -20*n**2 - 8*n + 208. Let p(g) = g**3 + 380*g**2 + 153*g - 3948. Let z(j) = -2*p(j) - 39*r(j). Suppose z(c) = 0. Calculate c.
-3, 4, 9
Let a = 289 - 292. Let w be (-168)/(-784) + a/(-14). What is l in -w*l + 6/7*l**2 + 0*l**3 + 3/7*l**5 + 0 - 6/7*l**4 = 0?
-1, 0, 1
Let r be 4/54 - (82 - (-40788)/(-486)). Factor 0 + 1/5*j**r + 2/5*j.
j*(j + 2)/5
Suppose -2*v = 4*p + 12, 2*p - 24 = 74*v - 70*v. Solve -g - 1/5*g**5 - 4/5*g**2 + p + 6/5*g**3 + 4/5*g**4 = 0 for g.
-1, 0, 1, 5
Let -162*s**4 - 2865/4*s - 159/4 - 8667*s**3 - 8613/2*s**2 = 0. Calculate s.
-53, -1/6
Let c(i) be the first derivative of -5*i**3 + 6/5*i**5 - 15/4*i**4 + 180 + 9*i + 15/2*i**2. Let c(d) = 0. Calculate d.
-1, -1/2, 1, 3
Let p = -154 - -159. Factor -6*m**3 + 3*m - 4*m + p*m**3 + 2*m**3.
m*(m - 1)*(m + 1)
Let f(u) = 7*u**4 - 101*u**3 - 345*u**2 + 3*u - 3. Let g(m) = 76*m**4 - 1112*m**3 - 3796*m**2 + 32*m - 32. Let o(i) = -32*f(i) + 3*g(i). Factor o(a).
4*a**2*(a - 29)*(a + 3)
Let q(z) be the second derivative of -z**6/120 + z**5/5 - 15*z**4/8 + 25*z**3/3 + 45*z**2 + 5*z - 1. Let j(c) be the first derivative of q(c). Factor j(g).
-(g - 5)**2*(g - 2)
Let a = 6/1847 + 1835/3694. Solve 1/6*x**3 + a*x**2 + 0 + 0*x = 0 for x.
-3, 0
Let q = 4089 - 4089. Let v(g) be the first derivative of -5/6*g**6 - 4 + q*g**5 + 0*g**2 + 5/4*g**4 + 0*g**3 + 0*g. Factor v(p).
-5*p**3*(p - 1)*(p + 1)
Factor 2/7*b**3 + 38/7*b + 16/7*b**2 + 24/7.
2*(b + 1)*(b + 3)*(b + 4)/7
Find i such that -399*i**3 - 81*i**5 - 20*i**4 + 82*i**5 - 416*i - 56*i + 72*i**4 + 818*i**2 = 0.
-59, 0, 1, 2, 4
Let l = -22702/23 - -113786/115. Factor 2/5*q**3 + 0 + 18/5*q - l*q**2.
2*q*(q - 3)**2/5
Let m = -224 + 77. Let r be (6 + m/35)/((-1)/(-5)). Suppose 3*i**2 + 3*i - 12 + r*i - 2*i**2 - 4*i**2 = 0. Calculate i.
2
Let h(a) be the third derivative of -13*a**6/40 - 51*a**5/20 - a**4 + 42*a**3 + 998*a**2. Let h(b) = 0. Calculate b.
-3, -2, 14/13
Factor -21*b + 18 + 9/2*b**2 + 9/4*b**3 - 3/4*b**4.
-3*(b - 2)**3*(b + 3)/4
Let q = 59908 - 59892. Factor 0*m + 24/7*m**2 + q*m**3 + 0 + 18/7*m**4.
2*m**2*(m + 6)*(9*m + 2)/7
Let h(l) be the second derivative of l**5/110 + l**4/3 + 151*l**3/33 + 30*l**2 - 171*l + 12. Find i, given that h(i) = 0.
-11, -6, -5
Suppose -5*i + 701 = 3*g, -5*i + 687 = 4*g - 8*g. Let m = 139 - i. Factor m*o - 40/3*o**3 + 20/3*o**2 + 0 + 5*o**4.
5*o**2*(o - 2)*(3*o - 2)/3
Let r(o) = -22*o - 85. Let j be r(-4). What is p in p**4 + 40*p - 32*p**2 + 32 - 34*p**j - 7*p**4 - 3*p**4 + 3*p**4 = 0?
-4, -2, -2/3, 1
Let w be ((-304)/(-1216))/(((-4)/50)/(24/(-15))). Determine i, given that -3/4*i**3 + 5/12*i**2 - 1/12*i**4 - 1 + 4/3*i + 1/12*i**w = 0.
-2, 1, 3
Let d(n) = 11*n**2 - 2 - 37 + 59*n - 38. Let s(z) = 2*z**2 + 10*z - 13. Let j(m) = 6*d(m) - 34*s(m). Factor j(t).
-2*(t - 5)*(t - 2)
Let y(g) be the first derivative of g**2/2 + 7*g - 16. Let x be y(-5). Factor 4*f**x - 2*f**3 - 7 + 0*f - 2*f + 7.
-2*f*(f - 1)**2
Let f(w) = -w**3. Let h be f(-1). Suppose m + 204 = 5*v + 203, 5*m = -5*v - 5. Factor -5 - 6 + 5*o**4 + v + 15*o**3 + 5*o**2 - 15*o + h.
5*(o - 1)*(o + 1)**2*(o + 2)
Factor 2/9*d**2 + 0 + 58/3*d.
2*d*(d + 87)/9
Let y(c) = -39*c**2 + 34*c + 5. Let w(d) = 1 + 39*d**2 - 7 + 75*d - 193*d + 85*d. Let r(a) = -4*w(a) - 3*y(a). Solve r(h) = 0.
-3/13, 1
Let l(u) be the second derivative of u**4/66 - 17*u**3/3 - 570*u**2/11 - 999*u. Find k, given that l(k) = 0.
-3, 190
Suppose 0 = 28*c - 16 - 264. Suppose -5*k + 30 = 5. Determine y so that -10*y**4 + 6*y - 8*y**5 - 2*y + 3*y**k + c*y**2 + y = 0.
-1, 0, 1
Let s = -682950937/401421 + 3/133807. Let m = -1701 - s. Factor -2*w - 3 - m*w**2.
-(w + 3)**2/3
Find o, given that 20*o**2 + 54*o + 26240*o**3 - 9*o**4 - 11*o**4 - 26324*o**3 + 30*o = 0.
-21/5, -1, 0, 1
Let v(x) be the first derivative of -2*x**3/15 + 92*x**2 - 4900. Suppose v(s) = 0. Calculate s.
0, 460
Let w(o) = -9*o**2 - 331*o + 555. Let x(u) = 2*u**2 + 66*u - 114. Let k(n) = 2*w(n) + 11*x(n). Factor k(z).
4*(z - 2)*(z + 18)
Suppose 0*k = -2*k. Let s(g) = -g**2 - 778*g - 2321. Let p be s(-3). Factor 1/9*o + 0 + 1/9*o**5 - 2/9*o**3 + k*o**2 + 0*o**p.
o*(o - 1)**2*(o + 1)**2/9
Let j be (-1 + -2 + 3)/2. Suppose 29*k - 19*k - 40 = j. Solve -1/6*q - q**3 + 0 + 2/3*q**2 + 2/3*q**k - 1/6*q**5 = 0.
0, 1
Let r(i) be the first derivative of -2/51*i**3 - 242/17*i - 22/17*i**2 - 39. Factor r(f).
-2*(f + 