t g be (6/15)/(-5*(-4)/h). Determine a, given that -9/2*a**g + 9/2*a**4 + 3/2*a + 0 - 3*a**5 + 3/2*a**3 = 0.
-1, 0, 1/2, 1
Let q be (((-2)/10)/((-14)/(-35)))/(490/(-280)). Let a be (1/(-7))/(-1 - 0). Find m, given that -a*m**2 + 0 - 1/7*m**3 + q*m = 0.
-2, 0, 1
Let 5*q**3 + 3*q**4 + 18 + 10094*q**2 - 4*q**4 - 21*q - 10095*q**2 = 0. Calculate q.
-2, 1, 3
Solve 40 + 4*j**2 + 31*j + 60 + 12*j + 32*j + 29*j = 0.
-25, -1
Let w be ((-24)/2 + 5)*20/(-14). Let f be (-3 + (3 - 6))*(-2)/w. Let -2/5 - 6/5*u - 2/5*u**3 - f*u**2 = 0. Calculate u.
-1
Find n, given that -1/2*n**3 - 9*n**2 + 19/2*n + 0 = 0.
-19, 0, 1
Let g(q) be the first derivative of 0*q + 1/3*q**6 + 5 + 8/5*q**5 - 8/3*q**3 + 3/2*q**4 - 4*q**2. Determine l, given that g(l) = 0.
-2, -1, 0, 1
Factor -7*n**3 - 15 + 4*n**2 + 0*n**3 + 27 + 20*n + 3*n**3.
-4*(n - 3)*(n + 1)**2
Let q(p) be the second derivative of -3*p**5/4 - 295*p**4/6 - 185*p**3/6 + 195*p**2 - 381*p - 2. Determine b so that q(b) = 0.
-39, -1, 2/3
Let a(y) = -4*y + y + 4*y + 1. Let g be a(-1). Factor 4*i**3 + 5*i + 2*i + g*i + i - 12*i**2.
4*i*(i - 2)*(i - 1)
Let x(b) be the first derivative of -b**4/18 + 20*b**3/27 - 17*b**2/9 - 56*b/9 + 257. Factor x(d).
-2*(d - 7)*(d - 4)*(d + 1)/9
Factor -114*g**3 - 190*g**2 - 232*g - 650*g**2 - 160*g - 4*g**4.
-2*g*(g + 14)**2*(2*g + 1)
Factor 1/2*l**3 + 0 - 16*l**2 + 31/2*l.
l*(l - 31)*(l - 1)/2
Let z = 1/2 + 1. Let q(k) = 2*k - 16. Let o be q(10). Factor -o*h**2 - 17/4*h + z + 7/4*h**3.
(h - 3)*(h + 1)*(7*h - 2)/4
Let a(p) be the third derivative of 2/3*p**4 + 0*p + 1/21*p**7 - 1/168*p**8 - 7/60*p**6 - 1/30*p**5 - 4/3*p**3 + 0 + 18*p**2. Determine j so that a(j) = 0.
-1, 1, 2
Let y(k) = -15*k**2 - 6*k + 27. Let n(w) = -2*w**2 + 2*w + 1. Let p(q) = 6*n(q) - y(q). Suppose p(m) = 0. Calculate m.
-7, 1
Suppose -o - 4 = -3*s, -4 = -3*s + 5*o + 4. Let t(m) = 14*m - 9. Let y(v) = v**2 + v - 1. Let j(a) = s*t(a) - 5*y(a). Factor j(f).
-(f - 1)*(5*f - 4)
Let u(o) = 6*o**2 - 4*o + 5. Let k(h) = -17*h**2 + 11*h - 14. Let q(n) = -4*k(n) - 11*u(n). Let t be q(-1). Factor -34*l**2 + 96*l**t - l + 4*l - 90*l**4 + l.
-2*l*(3*l - 1)**2*(5*l - 2)
Let v(n) = n + 2. Let i(u) = 21*u**2 + 9*u + 6. Let m(t) = i(t) - 3*v(t). Determine l, given that m(l) = 0.
-2/7, 0
Let r be (9/(-21))/(2/(-7)). Let d(s) = -s + 5. Let p be d(1). Factor -5/6*o**p + 1/3*o + 0 - r*o**2 + 2*o**3.
-o*(o - 1)**2*(5*o - 2)/6
Let c(o) = 5*o**3 - o**2 + o - 1. Let z be c(1). Factor 5*a**z - 13*a**4 - 2*a - 5*a**2 - 11*a**2 - 2*a - 20*a**3.
-4*a*(a + 1)**2*(2*a + 1)
Let a(o) be the first derivative of o**3/9 - 208*o**2/3 + 43264*o/3 - 236. Factor a(q).
(q - 208)**2/3
Let v be 134/26 + (-22)/143. Suppose -2 = -v*j - m + 2, j + m = 4. Let -2*h + j*h**3 + h**3 + 0*h**3 + h**2 + 0*h = 0. What is h?
-2, 0, 1
Let v(s) be the first derivative of -7*s**6/360 - s**5/60 - 4*s**3/3 + 2*s - 55. Let p(q) be the third derivative of v(q). Factor p(o).
-o*(7*o + 2)
Let v(q) be the second derivative of -q**5/150 - q**4/45 + q**3/15 + 19*q + 2. Factor v(t).
-2*t*(t - 1)*(t + 3)/15
Factor -752*o**2 - 138*o**3 - 1920*o - 2/5*o**5 - 12*o**4 - 9216/5.
-2*(o + 3)**2*(o + 8)**3/5
Let o(s) be the third derivative of s**8/112 - s**7/70 - s**6/10 + s**5/5 - 2*s**2 - 115. Solve o(j) = 0 for j.
-2, 0, 1, 2
Factor -2*g**3 + 4*g**4 + 7*g**3 + 140*g - 60 - 95*g**2 + 5*g**3 + 0*g**3 + g**4.
5*(g - 2)*(g - 1)**2*(g + 6)
Solve 45 + 110 - 385*p**2 + 390*p**2 + 160*p = 0 for p.
-31, -1
Let u(a) = 3*a**2 - 33*a + 2. Let r be u(11). Solve 0 - 3/2*v + 1/2*v**r = 0 for v.
0, 3
Let v(h) be the first derivative of 4*h**3/3 + 4*h**2 - 192*h - 170. Determine c, given that v(c) = 0.
-8, 6
Let h be -2 - (0 + -5 + 3). Let z be (-46)/(-36) - (-44)/198. Factor 3/2*o**3 + 0*o + h*o**2 + 0 - z*o**4.
-3*o**3*(o - 1)/2
Let w(t) = -9*t**2 - t + 56. Let k(v) = -20*v**2 - 5*v + 110. Let f(p) = 2*k(p) - 5*w(p). Factor f(n).
5*(n - 4)*(n + 3)
Let o(c) be the third derivative of 0*c**3 + 1/12*c**4 - 16*c**2 + 1/120*c**6 + 0*c + 1/20*c**5 + 0. Factor o(s).
s*(s + 1)*(s + 2)
Let -12*d**4 + 367*d**5 + 16*d**3 + 359*d**5 - 730*d**5 = 0. What is d?
-4, 0, 1
Find v, given that -2/7*v - 1/7*v**5 - 1/7*v**2 + 1/7*v**4 + 0 + 3/7*v**3 = 0.
-1, 0, 1, 2
Let c(v) be the first derivative of v**3/2 - 159*v**2 + 16854*v + 294. Determine a so that c(a) = 0.
106
Let d = 115 + -111. Factor 128*b**3 + 0*b**4 - 131*b**3 - 3*b**d.
-3*b**3*(b + 1)
Suppose -10*g + 12 + 8 = 0. Let y(w) be the first derivative of w + 3/8*w**4 + 3/2*w**g + 1/20*w**5 - 4 + 13/12*w**3. Factor y(r).
(r + 1)**2*(r + 2)**2/4
Let x(c) be the second derivative of c**7/120 + c**6/48 - c**5/20 + 2*c**4/3 - 12*c. Let i(d) be the third derivative of x(d). Factor i(j).
3*(j + 1)*(7*j - 2)
Let x be (-1 - 9)/1*4/(-10). Let n be (-402)/(-216) - x/(32/6). Factor -2/3*g + n*g**2 - 4/9.
2*(g - 1)*(5*g + 2)/9
Suppose 5*o - 2*x = 0, -4*o + 33*x - 37*x + 28 = 0. Suppose 0*k + 0 + 3/7*k**3 + 3/7*k**o = 0. What is k?
-1, 0
Suppose -5*r - 31 = -2*q, -q + 2*r + 25 = 4*q. Let 0*m**q - 3*m**3 + 7*m**2 - 6*m**2 - m**5 + 3*m**4 = 0. What is m?
0, 1
Let h(p) = -p**2 + 12*p + 66. Let m be h(16). Suppose -m = -l + 2. Factor 82/3*v**3 - 30*v**2 - 26/3*v**l - 4/3 + 38/3*v.
-2*(v - 1)**3*(13*v - 2)/3
Let c(v) be the first derivative of 0*v**2 + 6*v + 0*v**3 + 6 + 1/60*v**4. Let i(n) be the first derivative of c(n). Factor i(h).
h**2/5
Let i be ((-40)/72)/((-8)/((-120)/(-25))). Determine u, given that -5/3*u**3 + 0 - i*u**4 + 0*u - u**2 + 1/3*u**5 = 0.
-1, 0, 3
Solve -24/5*n + 12/5 - 21/5*n**2 + 3*n**3 = 0 for n.
-1, 2/5, 2
Find r, given that -2*r**4 + 19*r**5 + 4*r**2 - r**4 + 21*r**5 - 39*r**5 = 0.
-1, 0, 2
Let r = -3/202 - -229/1818. Factor 4/9 + r*u**4 - 1/3*u**2 + 4/9*u - 2/9*u**3.
(u - 2)**2*(u + 1)**2/9
Let t be 5/(50/(-364))*(-232)/812. What is o in 16/5 + 12/5*o**3 + 64/5*o + t*o**2 = 0?
-2, -1/3
Let u = -87 - -91. Factor -2*m**5 - 72*m**3 + 30*m**2 - 28*m**4 - 62*m**2 + 6*m**u + 128*m.
-2*m*(m - 1)*(m + 4)**3
Factor 12/5*g + 0 + 2/5*g**2 - 2/5*g**3.
-2*g*(g - 3)*(g + 2)/5
Let f(l) = -5*l**2 + 72*l + 392. Let u(c) = 5*c**2 - 70*c - 390. Let x(t) = 5*f(t) + 4*u(t). Factor x(w).
-5*(w - 20)*(w + 4)
Let y = -17576/27 + 651. Let k(b) be the second derivative of 0*b**3 + 1/63*b**7 + 0 + 0*b**2 + y*b**4 - 6*b + 7/90*b**5 + 8/135*b**6. Factor k(j).
2*j**2*(j + 1)**2*(3*j + 2)/9
Let x(d) = d**3 - 48*d**2 + 48*d - 42. Let l be x(47). Factor 2/7*b**l + 0 + 4/7*b + 18/7*b**3 - 2*b**2 - 10/7*b**4.
2*b*(b - 2)*(b - 1)**3/7
Let 12/17*g - 2/17*g**3 + 6/17*g**2 - 16/17 = 0. What is g?
-2, 1, 4
Let l(q) be the second derivative of 7*q**6/12 + 17*q**5/30 - 13*q**4/6 - 8*q**3/3 - 11*q**2 - 27*q. Let x(b) be the first derivative of l(b). Factor x(j).
2*(j + 1)*(5*j - 4)*(7*j + 2)
Suppose 2/5*r + 2/5*r**2 - 8 = 0. Calculate r.
-5, 4
Suppose 11*s - 84 = -3*s. Let d(n) be the second derivative of 0*n**3 + 1/135*n**s + 0 - 1/90*n**5 + 0*n**2 + 0*n**4 - 5*n. Factor d(j).
2*j**3*(j - 1)/9
Let q = 2001 - 4001/2. Suppose 2*f = 5*f - 6. Determine a so that q*a + 0 - 3/4*a**f + 1/4*a**3 = 0.
0, 1, 2
Let t be (-2)/(-12) - (-1)/(-24)*4. Let p(d) be the third derivative of -1/25*d**5 - 8/15*d**3 + t*d - 1/5*d**4 - 6*d**2 + 0 - 1/300*d**6. Solve p(u) = 0 for u.
-2
Let q(u) = -u**2 + 13*u - 30. Let s be q(9). Solve 12*p**2 + 32*p + 28 - 2*p**4 + s*p**4 - 12 - 8*p**4 - 8*p**3 = 0.
-2, -1, 2
Let x = 30 - 26. Let y(z) = 2*z - 6. Let m be y(5). Factor -m*a**2 + 18*a + a**2 - a**x - 20*a + 2*a**4.
a*(a - 2)*(a + 1)**2
Suppose -4*o + 82 + 58 = 4*r, 11 = o - 5*r. Factor -41*m**2 + 40*m - o*m**2 + 30*m**3 - 5*m**4 + 12*m**2.
-5*m*(m - 2)**3
Factor 17672/9 + 50/9*v**2 - 1880/9*v.
2*(5*v - 94)**2/9
Let h(m) be the second derivative of 1/15*m**3 + 7*m + 0*m**2 + 1/30*m**4 + 0. Factor h(x).
2*x*(x + 1)/5
Let s(v) = 33 - 4*v + 12*v - 6*v + v. Let t be s(-10). Find u such that -3/5*u**2 + 2/5 + 1/5*u + 1/5*u**4 - 1/5*u**t = 0.
-1, 1, 2
Let f(l) be the second derivative of -l**4/27 - 184*l**3/27 - 4232*l**2/9 + l - 88. Solve f(x) = 0.
-46
Let j(b) = -4*b**4 - 20*b**3 - 8*b**2 - 8*b. Let y = -63 + 55. Let w(g) = -3*g**4 - 13*g**3 - 5*g**2 - 5*g. Let q(t) = y*w(t) + 5*j(t). Solve q(k) = 0 for k.
-1, 0
Let a(r) be the first derivative of -3/20*r**4 + 0*r + 1/15*r**3 + 1/30*r**6 + 2 - 1/25*r**5 + 1/5*r**2. Suppose a(