 373*f**4/252 + 187*f**3/63 - 12*f**2 + 30*f. Solve h(b) = 0.
-1, 1, 187
Let u = 89345/27 + -3309. Let g(c) be the third derivative of -1/1080*c**6 + 15*c**2 + 0 + 1/54*c**4 - u*c**3 + 1/540*c**5 + 0*c. Factor g(r).
-(r - 2)*(r - 1)*(r + 2)/9
Let w = -4834 + 58009/12. Let x(o) be the first derivative of w*o**3 + 0*o - 6 + 1/16*o**4 + 0*o**2. Factor x(q).
q**2*(q + 1)/4
Let p = 228 + -224. Factor f**5 + 0*f**3 - 3*f**3 + p*f**4 - 2*f**4.
f**3*(f - 1)*(f + 3)
Let i = 1201/20 - 60. Let u(k) be the third derivative of 1/240*k**6 + 0*k - 2/3*k**3 - i*k**5 + 1/4*k**4 + 3*k**2 + 0. What is o in u(o) = 0?
2
Let f(c) = -9*c - 12*c + c**4 - 3 + c**3 + 22*c. Let l(s) = -7*s**4 - 5*s**3 + 6*s**2 - 10*s + 10. Let y(m) = -6*f(m) - l(m). Find k such that y(k) = 0.
-2, -1, 2
Factor 28 - 26*g + 1/2*g**3 + 5*g**2.
(g - 2)**2*(g + 14)/2
Let z be (-126)/(-49) - (-9)/21. Suppose 97*q**4 - 8*q**z + 96*q**4 + 95*q**4 - 290*q**4 - 6*q**2 = 0. What is q?
-3, -1, 0
Let a(f) = -5*f**3 - 19*f**2 - 141*f - 576. Let h be a(-4). Solve -15/2 + 25*w**2 + 5/2*w + 25/2*w**5 - 35/2*w**h - 15*w**3 = 0.
-1, -3/5, 1
Let o be 11/1 + (-79 - -70). Let n be ((-100)/225)/(2*-1). Factor -4/9*g**o + 0 - 2/9*g**3 - n*g.
-2*g*(g + 1)**2/9
Let r = -315 - -325. Factor 100*b - 2 + 15*b**2 + r - 48*b**3 - 11*b**2 + 40*b**2.
-4*(b - 2)*(b + 1)*(12*b + 1)
Factor 2268*f**2 + 60*f - 5*f**3 - 169*f**2 - 575*f**2 + 1911*f**2 - 3490*f.
-5*f*(f - 686)*(f - 1)
Let q be (1 + 2)/(1/(-2) + 2). Let 6*i**4 - 4*i**5 - 6*i**3 + 95*i**2 + 2*i**5 - 93*i**q = 0. Calculate i.
0, 1
Let s(g) be the third derivative of g**8/2520 + 38*g**7/1575 - g**6/225 - 76*g**5/225 - 2*g**2 + 4071*g. Let s(z) = 0. What is z?
-38, -2, 0, 2
Let q(t) = 24*t**2 + 596*t - 98. Let n be q(-25). Let y(h) be the first derivative of -4/3*h**n + 4*h - 4/9*h**3 - 37. Solve y(m) = 0.
-3, 1
Suppose 2*z = 5*z - 255. Let l = 87 - z. Factor 24*b**l + 16 - 54*b**2 + 26*b**2.
-4*(b - 2)*(b + 2)
Suppose 4*p - 4*i + 2*i = 334, 257 = 3*p + 5*i. Factor -8*a - p - 2*a**3 + 10*a**2 + 84.
-2*a*(a - 4)*(a - 1)
Solve 0*g + 1/6*g**3 + 0 + 1019/6*g**2 = 0.
-1019, 0
Let w(m) be the first derivative of m**9/648 - m**8/504 - m**7/630 + 27*m**3 + 79. Let p(o) be the third derivative of w(o). Factor p(d).
2*d**3*(d - 1)*(7*d + 2)/3
Let d(w) be the first derivative of -3*w**5/20 + w**4 - 2*w**3 - 98*w + 127. Let v(o) be the first derivative of d(o). Suppose v(n) = 0. Calculate n.
0, 2
Suppose -5*o = -x - 17, 2*o - 34 = -5*x + 2*x. Suppose p - x = -3*h, 2*p - 10 = -4*h + p. Determine z so that -24 - 10*z**2 - 6*z + 9*z**h + 5*z**2 + 2*z = 0.
-2, 3
Suppose 11*x - 151 = -107. Factor -35*p + 111*p**4 - 2*p**3 - 116*p**x + 15*p**2 - 30 + 17*p**3.
-5*(p - 3)*(p - 2)*(p + 1)**2
Let -52/3 + 2/9*d**2 + 74/9*d = 0. Calculate d.
-39, 2
Suppose 36 = 74*k - 68*k. Factor -16 - k - 5*m**2 - 3 + 30*m.
-5*(m - 5)*(m - 1)
Suppose 0 = 101*v - 289 + 87. Let 8/5 - 2*n**v - 2/5*n = 0. Calculate n.
-1, 4/5
Let x(v) be the third derivative of -v**7/350 + 41*v**6/600 - 73*v**5/300 + 7*v**4/24 - 41*v**2 + 27. Let x(t) = 0. Calculate t.
0, 1, 35/3
Let t be ((-765)/102)/((-3)/(-4)). Let a be (-1)/(-2) - ((-53)/t + -5). Factor -1/10 + a*y - 1/5*y**3 + 1/10*y**4 + 0*y**2.
(y - 1)**3*(y + 1)/10
Let o(u) = 8*u + 5*u + 160 - 20*u + 3*u. Let n be o(40). Factor n - 2/3*l**2 - 1/3*l.
-l*(2*l + 1)/3
Let d(v) be the first derivative of -2/3*v**2 - 3 - 2/3*v**3 - 1/6*v**4 + 0*v. Factor d(h).
-2*h*(h + 1)*(h + 2)/3
Let a(p) = -p**3 - 13*p**2 + p + 17. Let l be a(-13). Suppose l*y - 206 + 34 = 0. Let -3*g**2 + 6 - 38*g - y*g + 84*g = 0. Calculate g.
-1, 2
Let b(r) be the first derivative of 2*r**6/3 - 36*r**5/5 - 18*r**4 + 776*r**3/3 + 546*r**2 - 1764*r - 955. Suppose b(j) = 0. What is j?
-3, 1, 7
Let v be 54/132*(-40)/(-30). Factor -8/11 + v*p**2 + 2/11*p**3 + 0*p.
2*(p - 1)*(p + 2)**2/11
Let y be (-42)/75*475/(-760). Let j(g) be the first derivative of y*g**5 + 2*g**2 + g + 25/12*g**3 + 19/16*g**4 - 11 + 1/24*g**6. Let j(u) = 0. Calculate u.
-2, -1
Let c(l) be the third derivative of l**8/112 + 3*l**7/35 - 23*l**6/20 + 23*l**5/5 - 75*l**4/8 + 11*l**3 - 1888*l**2. Solve c(g) = 0 for g.
-11, 1, 2
Let r(b) be the first derivative of 3*b**4/16 - 191*b**3/4 - 3*b**2/8 + 573*b/4 - 3979. Factor r(n).
3*(n - 191)*(n - 1)*(n + 1)/4
Let s(k) be the second derivative of k**5/20 + 5*k**4/24 + k**3/3 + k**2/4 + 233*k. Find i such that s(i) = 0.
-1, -1/2
Let a be (1*(-28)/7*48/26)/((-15)/10). Factor 2/13*p**3 + 28/13*p**2 + a*p - 256/13.
2*(p - 2)*(p + 8)**2/13
Let r(u) be the first derivative of -34*u**3/3 - 42*u**2 - 32*u + 186. Solve r(w) = 0.
-2, -8/17
Let j(r) = 6289*r + 226407. Let v be j(-36). Factor -224/3*c**2 - 128/3*c - 48*c**v + 0 - 40/3*c**4 - 4/3*c**5.
-4*c*(c + 2)**3*(c + 4)/3
Solve 25*p - 20*p**2 - 367 + 21*p**2 - 221 - 36 - 2*p = 0 for p.
-39, 16
Let n(g) = 3*g**2 + 31*g + 20. Let r(x) = x**2 - 11*x + 35. Let z be r(5). Let p(u) = -3*u**2 - 32*u - 19. Let y(b) = z*n(b) + 4*p(b). Factor y(w).
3*(w + 1)*(w + 8)
Suppose 0 = 4*d - 120 + 108. Suppose -97*h**d + 175*h**3 - 15*h**4 + 15*h**2 - 3*h - 87*h**3 + 12*h**5 = 0. What is h?
-1, 0, 1/4, 1
Let k(a) be the third derivative of -a**6/360 + 25*a**4/72 + 4*a**2 + 203*a. Determine w so that k(w) = 0.
-5, 0, 5
Let m(d) be the second derivative of -d**7/147 - 34*d**6/105 - 373*d**5/70 - 34*d**4 - 84*d**3 + 3*d - 54. Factor m(c).
-2*c*(c + 3)**2*(c + 14)**2/7
Let j be ((-8)/(-12))/(-1*(-35)/(7 + -2)). Let l(t) be the first derivative of j*t**3 - 2/7*t**4 - 2/35*t**5 + 0*t + 4/7*t**2 + 5. What is k in l(k) = 0?
-4, -1, 0, 1
Let a(n) be the first derivative of -n**4/54 + 7*n**3/27 - 4*n**2/3 + 69*n + 73. Let b(d) be the first derivative of a(d). Find c such that b(c) = 0.
3, 4
Let b(a) = 4*a**2 + 1176*a - 1095. Let m(s) = -2*s**2 - 580*s + 548. Let y(u) = -2*b(u) - 5*m(u). Factor y(f).
2*(f - 1)*(f + 275)
Let w(y) be the third derivative of y**8/504 + 4*y**7/63 - y**6/36 - 10*y**5/9 + y**4/9 + 80*y**3/9 + 123*y**2 + y. Suppose w(m) = 0. Calculate m.
-20, -2, -1, 1, 2
Let j(s) = s**3 - 10*s**2 + 17*s + 31. Let z be j(7). Let h(g) be the first derivative of 0*g**2 + 20 - g + 1/3*g**z. Factor h(c).
(c - 1)*(c + 1)
Let n be 316/(-36) - 120/540 - 155/15*-1. Find x, given that n + 2/3*x**2 + 50/9*x - 8/9*x**3 = 0.
-2, -1/4, 3
Let p = 12212 + -12208. Find z such that 14/3*z**p + 64/3 + 176/3*z + 1/3*z**5 + 172/3*z**2 + 73/3*z**3 = 0.
-4, -1
Let a(v) be the third derivative of 1/210*v**6 - 1/42*v**4 - 1/1470*v**7 - 22*v**2 + 0*v - 1/140*v**5 + 2/21*v**3 - 3. Determine d so that a(d) = 0.
-1, 1, 2
Let u(v) = -5*v**4 + 54*v**3 - 59*v**2 - 114*v. Let t(g) = 16*g**4 - 161*g**3 + 178*g**2 + 342*g. Let s(f) = 4*t(f) + 13*u(f). Factor s(r).
-r*(r - 57)*(r - 2)*(r + 1)
Factor -11*k**3 + 4*k + 109*k**2 - 5*k + 2*k**4 - 108*k**2 + 3*k + 6*k**3.
k*(k - 2)*(k - 1)*(2*k + 1)
Factor 698/15 + 2/15*x**2 - 140/3*x.
2*(x - 349)*(x - 1)/15
Let l(q) = -4*q - 7. Let x be l(-2). Solve x - 49 + u**2 + 9*u - 4*u**3 - 13*u**2 + 55*u = 0.
-6, 1, 2
Let j(o) = -2*o**3 - o**2 - 3*o + 60. Let i be j(0). Let -5*n**2 + i*n - 30*n - 25*n = 0. What is n?
0, 1
Let b = 5389/10786 - -2/5393. Let t(i) be the second derivative of 2/3*i**3 - 15*i + 0*i**2 + 1/10*i**5 + 0 + b*i**4. Suppose t(x) = 0. What is x?
-2, -1, 0
Let n be (-10)/(-2) - 63*3/135. Factor -n*f + 3/5*f**5 + 0 + 9/5*f**4 - 9*f**3 + 51/5*f**2.
3*f*(f - 1)**3*(f + 6)/5
Suppose -10*d - 99791 = -263791. Determine b, given that 16474*b - 2*b**3 + 42*b**2 - 8*b**2 - d*b + 38 = 0.
-1, 19
Let a be -6 + -37 + (-62 - -108). Let 0 + 98/5*c - 273/5*c**2 - 47/5*c**4 + 3/5*c**5 + 219/5*c**a = 0. Calculate c.
0, 2/3, 1, 7
Let k = 237 - 824. Let n = k - -1763/3. Suppose n*g**3 + 6/5*g**2 + 4/15 + 2/15*g**4 + 14/15*g = 0. Calculate g.
-2, -1
Let w(x) = 10*x**2 + 11*x - 104. Let d be w(8). Factor -55*p + 126 - d*p**2 + 25*p - 39*p + 627*p**2.
3*(p - 21)*(p - 2)
Suppose 18*v = 9*v + 180. Factor -96*p - 85*p**3 + v*p**2 - 96*p**3 + 185*p**3.
4*p*(p - 3)*(p + 8)
Let s(r) = -4*r**2 + 2048*r - 2062. Let q(f) = -f**2 - 2*f. Let t(i) = -6*q(i) + s(i). Factor t(c).
2*(c - 1)*(c + 1031)
Let q(b) be the second derivative of b**6/6 + 65*b**5/2 + 155*b**4 - 975*b**3 - 17145*b**2/2 - 14927*b. Factor q(p).
5*(p - 3)*(p + 3)**2*(p + 127)
Let n(z) = -8 + 123*z**2 - 236*z