, given that i(t) = 0.
-1, 9/10
Let f be 43/((-3870)/432) - 4248/(-810). Find q such that 0*q**3 + 0 - f*q + 2/3*q**2 - 2/9*q**4 = 0.
-2, 0, 1
Let a(r) be the second derivative of -r**4/12 - 37*r**3/3 + 76*r**2 - 44*r + 31. Determine o so that a(o) = 0.
-76, 2
Let r be (21/(-3))/(119/(-102)). Suppose -5*u - 2*w + r = 0, -2*u - 2*w - 4 + 10 = 0. Factor 0*f + 0*f**4 - 2/9*f**5 + 0*f**2 + u + 2/9*f**3.
-2*f**3*(f - 1)*(f + 1)/9
Suppose 3*z = 5*j - 34, -7 = 8*z + 4*j - 55. Let w(y) be the first derivative of -3/2*y**z - 4*y + 18 + 1/3*y**3. Determine q so that w(q) = 0.
-1, 4
Let o(v) be the first derivative of -v**4/18 + 68*v**3/27 - 3*v**2 - 44*v - 10530. Factor o(u).
-2*(u - 33)*(u - 3)*(u + 2)/9
Let h = -32256 - -483874/15. Let n(i) be the first derivative of -2/5*i**2 + 72/25*i**5 - 15 + 0*i + h*i**3 - 22/5*i**4. Solve n(t) = 0.
0, 2/9, 1/2
Let q(z) be the first derivative of -135/2*z**2 + 9/5*z**5 - 1/10*z**6 - 9/2*z**4 - 29 - 38*z**3 - 243/5*z. Factor q(k).
-3*(k - 9)**2*(k + 1)**3/5
Suppose 7*y - 4*y = 9. Suppose y*p + 0*p = 0, 0 = -3*k + 4*p + 9. Factor 66*w - 131*w + 8*w**2 + 4*w**k + 69*w.
4*w*(w + 1)**2
Let b(w) be the first derivative of w**3/8 - 33*w**2/16 - 39*w/4 - 959. Solve b(f) = 0 for f.
-2, 13
Let i(d) be the first derivative of -2*d**6 + 8*d**5 - 7*d**4 - 16*d**3/3 + 8*d**2 - 988. Determine z, given that i(z) = 0.
-2/3, 0, 1, 2
Suppose -1095 = -69*j + 1091 - 2048. Factor -52/17*m + 50/17 + 2/17*m**j.
2*(m - 25)*(m - 1)/17
Let m be (-8)/((-64)/30)*(-15)/(-50). Let x(p) be the first derivative of m*p + 3/4*p**2 + 1/8*p**3 + 21. Find f, given that x(f) = 0.
-3, -1
Let n = 3926119/7 + -560869. Factor n*x + 2/7*x**2 + 64/7.
2*(x + 2)*(x + 16)/7
Let b(c) be the second derivative of -c**4/4 + 133*c**3 - 53067*c**2/2 - 11*c + 6. Solve b(t) = 0.
133
Let c(l) be the third derivative of l**8/1176 + 19*l**7/735 - 29*l**6/140 + 113*l**5/210 - 23*l**4/42 - l**2 + 68*l. Suppose c(m) = 0. Calculate m.
-23, 0, 1, 2
Let a = -199 - -201. Let c be ((-50)/(-350))/(1/a). Solve 0 - 4/7*i**2 + 0*i + c*i**3 = 0 for i.
0, 2
Suppose -52*l = 817 - 921. Let g(n) = -n**3 + 6*n**2 + 6*n - 4. Let y be g(6). Factor i**2 + 2*i**l + y - 16*i - i**2 + 0*i**2.
2*(i - 4)**2
Factor 13 - 6*z - 1/4*z**2.
-(z - 2)*(z + 26)/4
Suppose -4*i = 9*i + 819. Let o = i + 64. Factor 0*m + 5*m - 9*m - 4*m**3 + 0*m**4 - o - m**4 - 6*m**2.
-(m + 1)**4
Let p(f) be the first derivative of 2/3*f**3 - 74 + 0*f - 5/4*f**2 - 1/12*f**6 + 3/4*f**4 - 2/5*f**5. Let p(b) = 0. Calculate b.
-5, -1, 0, 1
Let j(i) be the second derivative of i**5/10 - 927*i**4/2 + 859329*i**3 - 796597983*i**2 - 981*i. Factor j(r).
2*(r - 927)**3
Let u(d) be the third derivative of 2/15*d**3 + 1/1680*d**8 - 20*d**2 - 1/120*d**6 + 0 + 1/15*d**4 - 1/1050*d**7 - d + 1/300*d**5. Let u(g) = 0. What is g?
-1, 2
Let k(d) = 3*d**3 + d**2 + d - 1. Let u(y) = 19*y**3 - 11*y**2 - 8*y - 76. Let o(m) = -6*k(m) + u(m). Let i be o(18). Factor 2/5*s**3 - 6/5*s - 4/5*s**i + 0.
2*s*(s - 3)*(s + 1)/5
Let y = 141 - 137. Factor 121*l + y*l**3 + 4*l**2 - 243*l + 15*l**2 + 117*l.
l*(l + 5)*(4*l - 1)
Let b(f) be the third derivative of -f**5/12 + 95*f**4/24 + 210*f**3 + f**2 - 1355*f. Factor b(z).
-5*(z - 28)*(z + 9)
Let h(n) be the third derivative of -n**7/42 + n**6/24 + 23*n**5/12 + 65*n**4/8 + 15*n**3 - 1621*n**2. Factor h(g).
-5*(g - 6)*(g + 1)**2*(g + 3)
Let g(n) be the second derivative of -n**4/30 + 118*n**3/15 + 21*n + 9. Suppose g(f) = 0. What is f?
0, 118
Let w = 246 + -709. Let f = 463 + w. Factor 0*h - 4/5*h**2 - 2/5*h**3 + f.
-2*h**2*(h + 2)/5
Let o(w) = -w**2 + 122. Let q be o(0). Let f = 977/8 - q. Determine y, given that 0 + 1/4*y**3 - 1/4*y - 1/8*y**4 + f*y**2 = 0.
-1, 0, 1, 2
Let q(o) be the third derivative of -11 + 0*o + 4*o**2 + 0*o**3 - 1/4*o**5 - 25/8*o**4 - 1/160*o**6. Factor q(p).
-3*p*(p + 10)**2/4
Let z be (-6 - 27/(-6))/(3/(-6)). Factor -19*u**3 + 64*u**z + 11664 - 20*u**3 - 1944*u + 108*u**2 - 27*u**3.
-2*(u - 18)**3
Let l(s) be the first derivative of -5*s**7/42 + 5*s**6/6 + s**5/4 - 25*s**4/12 - 48*s + 14. Let h(t) be the first derivative of l(t). Let h(z) = 0. What is z?
-1, 0, 1, 5
Solve -296/3 + 540*f + 44/3*f**2 = 0.
-37, 2/11
Solve -48/5*s**3 - 4/5*s**4 + 0 + 104/5*s + 12*s**2 = 0 for s.
-13, -1, 0, 2
Let w(j) be the second derivative of 5/9*j**3 - 1/72*j**4 - 7*j - 19/12*j**2 - 7. Factor w(b).
-(b - 19)*(b - 1)/6
Let g = -2436599/60 + 40610. Let d(f) be the second derivative of 2 + g*f**4 - 7/30*f**3 + 3/5*f**2 - 10*f. Factor d(k).
(k - 6)*(k - 1)/5
Let g(h) be the second derivative of -1/21*h**7 + 0 + 2/3*h**4 + 70*h - 3/10*h**5 + 4/3*h**3 - 4/15*h**6 + 0*h**2. What is t in g(t) = 0?
-2, -1, 0, 1
Let a = 1183983 + -4735929/4. Factor -a*m**2 - 3468 + 102*m.
-3*(m - 68)**2/4
Let i(r) be the first derivative of r**4/4 + 49*r - 25. Let p be i(0). Factor 35*o - p*o + 5 - 3*o**2 + 0.
-(o + 5)*(3*o - 1)
Let q(u) = -u**4 + 2*u**3 + u**2 - 3. Let b(r) = 6*r**4 - 68*r**3 - 78*r**2 + 120*r + 30. Let c(l) = -b(l) - 10*q(l). Determine k, given that c(k) = 0.
-10, -3, 0, 1
Let m(b) be the second derivative of -25/3*b**3 + 13 + 0*b**2 - 5/3*b**4 - 4*b - 1/10*b**5. What is i in m(i) = 0?
-5, 0
Let k(y) be the first derivative of -y**6/120 + y**5/6 + y**4/24 - 5*y**3/3 - 3*y**2/2 - 27*y - 71. Let l(h) be the second derivative of k(h). Factor l(i).
-(i - 10)*(i - 1)*(i + 1)
Let o(f) be the second derivative of -1/21*f**4 + 0*f**2 - 4*f - 3 + 2/21*f**3. Factor o(c).
-4*c*(c - 1)/7
Let c(z) = 4*z**2 + 31*z + 24. Let s be c(-7). Suppose -14 = -s*w + 2*u + 2, 0 = 4*w - u - 18. What is x in -4*x**w - 20/3*x**2 + 0 - 28/3*x**3 - 4/3*x = 0?
-1, -1/3, 0
Let q(y) = y**2 - 4*y + 5. Let d be (-24)/(-10) - 12/(-20). Let x be q(d). Factor 31*a**2 - 63*a**2 + 30*a**x + 2 + a**3 - a.
(a - 2)*(a - 1)*(a + 1)
Let u(f) = f**3 - 28*f**2 - 742*f + 391. Let w be u(-17). Factor -3/2*n**4 + w - 3/4*n**5 + 0*n + 0*n**2 - 3/4*n**3.
-3*n**3*(n + 1)**2/4
Let r = -9861 - -9863. Let q(p) be the first derivative of 10 + 0*p**r - 4/9*p**3 + 1/6*p**4 + 0*p. Factor q(a).
2*a**2*(a - 2)/3
Let w(v) = 3*v**3 + 2*v**2 - 2*v. Let r be w(2). Suppose -112 = -2*t + r. Suppose t - 35 - 35 + 2*o**3 - 2*o**2 = 0. What is o?
0, 1
Let q(x) be the third derivative of -1/4*x**5 + 7*x**2 + 0*x**3 + 2 + 1/40*x**6 + 3/4*x**4 + 0*x. Solve q(s) = 0 for s.
0, 2, 3
Let z be -22 - (4670/(-210) + 0) - 3/(-7). Suppose -2/3*b**2 - 4/3*b + 0 - 2/3*b**5 + z*b**4 + 2*b**3 = 0. What is b?
-1, 0, 1, 2
Let x(b) = -3*b**3 - 127*b**2 - 1800*b - 3760. Let v(g) = -40*g**3 - 1795*g**2 - 25200*g - 52640. Let l(z) = 4*v(z) - 55*x(z). Solve l(o) = 0.
-4, 47
Let z = 1804/134295 - 5/1279. Let j(l) be the third derivative of -10/21*l**3 - 8*l**2 + 0 - z*l**5 + 1/7*l**4 + 0*l. What is q in j(q) = 0?
1, 5
Find r such that 2701/6*r**2 + 486*r**4 + 53/3*r + 1/6 - 954*r**3 = 0.
-1/54, 1
Let g = -227 + 254. Suppose -g*n - 15*n = 0. Factor n + 3/8*r**3 - 3/8*r - 1/8*r**4 + 1/8*r**2.
-r*(r - 3)*(r - 1)*(r + 1)/8
Factor -101/2*x**2 + 4*x**3 - 90 + 174*x.
(x - 6)**2*(8*x - 5)/2
Suppose -2*c = -p - 18, 0*c - 21 = 2*p - c. Let u be 6/3*(-12)/p. Factor 6*k**3 + 2*k**4 + 7*k**3 + 10*k**2 + 4*k + 0*k**u - 5*k**3.
2*k*(k + 1)**2*(k + 2)
Let g be (-8 + (-606)/(-75))*(15 - 5). Find p, given that -96*p - 576/5 + 92/5*p**2 - g*p**3 = 0.
-1, 12
Solve 24/7*i**3 - 82/7*i**4 + 48/7*i**5 + 0*i + 0*i**2 + 0 = 0 for i.
0, 3/8, 4/3
Let p = 8957 - 17913/2. Let k(h) be the first derivative of 14/9*h**3 - 4/5*h**5 - 1/3*h**4 + 16 - p*h**2 - 2/3*h + 7/18*h**6. Determine m, given that k(m) = 0.
-1, -2/7, 1
Suppose -5 = 5*w - 2*w + 5*h, 0 = -3*w + 3*h + 27. Suppose 32 = k - w. Let 9 - 4 - k*p**2 + 32*p**2 = 0. Calculate p.
-1, 1
Let g(i) be the second derivative of 2/105*i**7 + 3/10*i**5 + 86*i + 0 - 1/6*i**4 - 17/15*i**3 + 11/75*i**6 - 6/5*i**2. Find t such that g(t) = 0.
-3, -2, -1, -1/2, 1
Let f(p) = -3*p - 17. Let q be f(-7). What is d in 10*d**4 - 8*d**3 + 12*d**3 - 4*d**q = 0?
-2/3, 0
Suppose 109 = -5*x - 221. Let s = -64 - x. Suppose -w + w**3 + 4*w + w**3 - s*w**2 - 3*w**3 = 0. What is w?
-3, 0, 1
Suppose 143*n + 208906 = 209192. Suppose -4/17*y**n + 4/17*y**4 + 0*y - 2/17*y**3 + 0 + 2/17*y**5 = 0. Calculate y.
-2, -1, 0, 1
Suppose 405*o - 315*o**2 - 5*o**4 - 3*o**4 + 5*o**4 - 85*o**3 - 2*o**4 = 0. Calculate o