 u.
-2, -1
Let v be ((-3)/(-15) - (-286)/(-55)) + 7. Find h, given that 3/2*h**v - 3/2 + 0*h = 0.
-1, 1
Suppose -7*v + 0*v - 56 = 0. Let y be (-4)/v*(-16)/(-18). Factor 0*b**2 + 2/9*b**4 + 0*b - y*b**5 + 0 + 2/9*b**3.
-2*b**3*(b - 1)*(2*b + 1)/9
Let f(d) = 2*d**2 - 10*d - 1. Let k be f(5). Let n be (24/(-3 - k))/(-1). Factor 5*q + 7*q + 1 + n*q + 1 + 72*q**2.
2*(6*q + 1)**2
Let o(w) be the first derivative of -w**2/2 + w + 1. Let u be o(-1). Solve -6*a**2 - 16*a**3 - u - 6*a + 9*a**3 + 5*a**3 = 0 for a.
-1
Suppose 2*d = -3*s + 18, 5*s + 2 - 16 = 2*d. Suppose 7 = 3*m - 2. Let u**s - 6*u**3 - 16*u**2 + 0*u**m - 8*u**2 - 8*u + 9*u**4 = 0. What is u?
-1, -2/5, 0, 2
Suppose g + 4*f - 14 - 4 = 0, -4*g - 4*f = -24. Let p(r) be the first derivative of 0*r + 0*r**3 + 0*r**g - 5 + 3/8*r**4. Determine t, given that p(t) = 0.
0
Suppose -69*t**3 - 23*t**2 + t**4 + 17*t**2 - 22*t**4 + 2*t**4 - 14*t**4 = 0. What is t?
-2, -1/11, 0
Let f be 3*1 + -6 + -6 + 12. Let 0*m + 7*m**f - 9*m + 7*m + 5*m**2 = 0. Calculate m.
-1, 0, 2/7
Let z(o) be the third derivative of o**6/30 + 22*o**5/15 + 121*o**4/6 + 43*o**2. Factor z(n).
4*n*(n + 11)**2
Factor -f**3 - 204*f + 7*f**3 - 354*f**2 + 4*f**3 - 150*f**2 + 5*f**3.
3*f*(f - 34)*(5*f + 2)
Let b(r) = -12*r**5 + 12*r**3 - 8*r. Let a(z) = 14*z**5 - z**4 - 13*z**3 + 10*z. Let i(t) = 4*a(t) + 5*b(t). Let i(p) = 0. Calculate p.
-2, 0, 1
Let b(c) = -c**3 - 5*c**2 - 7*c + 1. Suppose -36 = 15*x - 3*x. Let r be b(x). Let 9*i**4 + r*i**3 + 9/2*i**5 + 0 - 1/2*i - i**2 = 0. What is i?
-1, -1/3, 0, 1/3
Let f(g) be the third derivative of g**9/83160 - g**7/13860 - g**4/3 + 18*g**2. Let d(i) be the second derivative of f(i). Determine j, given that d(j) = 0.
-1, 0, 1
Determine v, given that 0 + 0*v + 14/3*v**2 + 1/3*v**3 = 0.
-14, 0
Let i be (3 + (-66)/21)/(-1). Let f(b) be the first derivative of 4/35*b**5 - 7 + 0*b**4 + 1/21*b**6 - 4/21*b**3 - i*b**2 + 0*b. Let f(t) = 0. What is t?
-1, 0, 1
Let p be (-1)/3 + (-4)/(-72)*6. Suppose p = b - 6*b + b. Factor -2/7*h + b - 1/7*h**2.
-h*(h + 2)/7
Factor -1/3*l**5 + 5/3*l**4 + 0 - 2*l**3 + 0*l**2 + 0*l.
-l**3*(l - 3)*(l - 2)/3
Let v = 11 + -19. Let y be v/(-20) + 54/15. Suppose -4*l**2 - 2*l**5 + 4*l**5 + 19*l + 4*l**y - 21*l = 0. Calculate l.
-1, 0, 1
Factor 1441*b**2 + 4*b**4 - 1441*b**2.
4*b**4
Let j(f) be the first derivative of -23 - 7*f**3 - 3/4*f**4 - 36*f - 24*f**2. Determine a, given that j(a) = 0.
-3, -2
Let u(m) be the second derivative of -2*m + 0 - 1/84*m**4 + 0*m**2 + 1/21*m**3. Factor u(b).
-b*(b - 2)/7
Determine u, given that -8/3*u**2 + 2/3*u**4 + 0 + 0*u**3 + 0*u = 0.
-2, 0, 2
Let h(k) be the second derivative of k**5/15 - 22*k**4/9 + 64*k**3/3 + 192*k**2 + 63*k - 1. Suppose h(c) = 0. What is c?
-2, 12
Let c(k) be the second derivative of 3*k**5/10 + 3*k**4/4 - k**3 - 9*k**2/2 + 49*k + 2. Determine h, given that c(h) = 0.
-3/2, -1, 1
Let f(s) be the first derivative of -s**6/60 - s**5/10 + s**4/12 + s**3 - 5*s**2/2 + 12. Let r(n) be the second derivative of f(n). Factor r(h).
-2*(h - 1)*(h + 1)*(h + 3)
Let h(x) = x**3 + 3*x**2 - 6*x - 2. Let w(c) = c**3 - c + 2. Let u be w(-2). Let g be h(u). Let 6 - n**2 - g + 3*n**2 - n**3 = 0. What is n?
0, 2
Suppose 24*c - 22*c - 24 = 0. Suppose 0 = 2*i + c*i. Factor -2/5*r**3 + i + 0*r**2 + 0*r**4 + 1/5*r + 1/5*r**5.
r*(r - 1)**2*(r + 1)**2/5
Suppose 12 = 2*v + 70. Let g = -26 - v. Factor 7/2*p**2 - p - 2*p**g - 1/2.
-(p - 1)**2*(4*p + 1)/2
Let x(w) be the third derivative of 0*w - 1/30*w**5 + 0*w**3 - 1/60*w**6 + 2/105*w**7 - 18*w**2 + 0 + 0*w**4. Solve x(s) = 0.
-1/2, 0, 1
Let a(c) be the second derivative of 2*c**2 - 1/6*c**4 - 1/3*c**3 - 5*c + 0. Solve a(i) = 0.
-2, 1
Let n(x) be the second derivative of -2*x**6/105 + 3*x**5/35 - x**4/21 - 2*x**3/7 + 4*x**2/7 - 31*x - 6. Let n(i) = 0. What is i?
-1, 1, 2
Let u be ((-1272)/120 + 19)/(2/15*12). Solve 27/4*p**2 - u*p + 3/2 - 15/4*p**3 + 3/4*p**4 = 0 for p.
1, 2
Let a(k) be the third derivative of 9*k**5/20 - 11*k**4/8 + k**3 + k**2 - 2. Solve a(v) = 0.
2/9, 1
Let x be 40/30 + 10/(-75). Let 0 - x*q**3 - 4/5*q**2 + 0*q + 2*q**4 = 0. Calculate q.
-2/5, 0, 1
Let f be (-3)/(-60)*(-2)/(-3). Let z(a) be the third derivative of -1/315*a**7 + f*a**5 - 4/9*a**3 + 0 + 4*a**2 + 1/90*a**6 - 1/9*a**4 + 0*a. Factor z(g).
-2*(g - 2)**2*(g + 1)**2/3
Find d, given that 69 - 48*d - 32 + 18*d**2 - 5 = 0.
4/3
Let p(i) be the second derivative of -i**4/16 - 23*i**3/2 - 80*i. Factor p(y).
-3*y*(y + 92)/4
Suppose -2*y = 4*n + 8, 5*y + 22*n - 27*n - 10 = 0. Find j such that 0 + 14/5*j**3 + 1/5*j**4 + 49/5*j**2 + y*j = 0.
-7, 0
Let d(q) be the third derivative of q**8/504 - q**7/35 - q**6/60 + 5*q**5/18 + q**4/2 - 169*q**2. Suppose d(k) = 0. What is k?
-1, 0, 2, 9
Solve -15/2*r**3 + 72*r**2 + 30*r + 0 = 0.
-2/5, 0, 10
Let g(u) be the third derivative of -5*u**8/48 - 37*u**7/42 - 13*u**6/6 + 4*u**5/3 + 40*u**4/3 + 40*u**3/3 - 25*u**2. Solve g(j) = 0 for j.
-2, -2/7, 1
Let v(r) = -6*r**4 + 219*r**3 + 633*r**2 + 645*r + 207. Let o(f) = -10*f**4 + 328*f**3 + 948*f**2 + 968*f + 310. Let s(c) = -5*o(c) + 8*v(c). Factor s(y).
2*(y + 1)**3*(y + 53)
Let t = 40127/2 - 20063. Factor -t + r**2 - 1/2*r**4 + 0*r**3 + 0*r.
-(r - 1)**2*(r + 1)**2/2
Let b(q) be the first derivative of 3*q**4/4 + 3*q**3 - 39*q**2/2 - 45*q + 597. What is n in b(n) = 0?
-5, -1, 3
Determine q so that -4/5*q**3 - 2/3*q**4 + 0 + 8/15*q**2 + 16/15*q - 2/15*q**5 = 0.
-2, 0, 1
Let b(q) be the first derivative of 4418*q**3/15 + 752*q**2/5 + 128*q/5 - 45. Factor b(g).
2*(47*g + 8)**2/5
Let n(a) = a**4 - a**3 - a**2 - a - 1. Let t(g) = -30*g**4 + 35*g**3 + 25*g**2 + 15*g + 30. Let y(i) = -25*n(i) - t(i). Factor y(w).
5*(w - 1)**3*(w + 1)
What is x in -1901*x**2 + 1906*x**2 + 20 - 22*x - 3*x = 0?
1, 4
Let x(q) be the first derivative of -q**5/45 - 11*q**4/36 - 11*q**3/9 - 5*q**2/18 + 50*q/9 - 107. Solve x(m) = 0 for m.
-5, -2, 1
Let f be ((-164)/(-20) - 7)/((-10)/(-25)). Solve 3*o - 6/7 + f*o**5 + 12/7*o**2 - 6/7*o**4 - 6*o**3 = 0.
-1, 2/7, 1
Let h(m) = -7*m**2 + 48*m - 123. Suppose 0 = 3*f - 18 + 12. Let s(r) = 85*r**2 - 575*r + 1475. Let t(c) = f*s(c) + 25*h(c). Let t(y) = 0. What is y?
5
Let k(p) be the first derivative of -3*p**4/4 - 28*p**3 - 159*p**2/2 - 78*p - 144. Let k(x) = 0. What is x?
-26, -1
Suppose -45*c - 176 + 149 = -207. Let -c*f - 2/5*f**2 + 22/5 = 0. Calculate f.
-11, 1
Suppose -42 = -466*o + 452*o. Suppose -9/4*u**o + 9/4*u + 1/2*u**2 - 1/2 = 0. Calculate u.
-1, 2/9, 1
Let o be -11 + -4 + 28 - 9. Determine g, given that -1/7*g**o + 4/7*g**3 - 5/7*g**2 + 0 + 2/7*g = 0.
0, 1, 2
Let d(k) = -4*k**4 - k**2 + k. Let a(y) = y**5 - 22*y**4 + 29*y**3 - 35*y**2 + 15*y. Let i(h) = a(h) - 3*d(h). Find u, given that i(u) = 0.
0, 1, 2, 6
Factor 3/5*g**2 + 6/5*g - 9/5*g**4 - 12/5*g**3 + 0.
-3*g*(g + 1)**2*(3*g - 2)/5
Suppose -9 = 6*j - 3. Let u(y) = -y**2 + y - 1. Let s(h) = 0*h + 3*h - 2*h**2 - h + 5*h. Let n(g) = j*s(g) + 3*u(g). Factor n(k).
-(k + 1)*(k + 3)
Let c(d) be the first derivative of 2*d**5/5 - 6*d**4 + 32*d**3 - 80*d**2 + 96*d - 57. Factor c(y).
2*(y - 6)*(y - 2)**3
Let t(r) be the first derivative of 2*r**6/21 + 4*r**5/35 - 3*r**4/7 - 4*r**3/21 + 4*r**2/7 + 69. Let t(d) = 0. Calculate d.
-2, -1, 0, 1
Let m = -382 + 1916/5. Factor 2/15*q**3 - m + 2*q - 14/15*q**2.
2*(q - 3)**2*(q - 1)/15
Let m(g) be the second derivative of 0*g**3 + 11*g + 1/55*g**6 + 0*g**2 - 3/110*g**5 + 0 + 1/66*g**4 - 1/231*g**7. Factor m(j).
-2*j**2*(j - 1)**3/11
Suppose 0 = -3*u + 8*u. Factor u*v**2 - 42 + 10*v**2 - v**2 - 57*v.
3*(v - 7)*(3*v + 2)
Let k = 1221 - 8545/7. Factor -6/7 - 2/7*q**3 + 6/7*q**2 + k*q.
-2*(q - 3)*(q - 1)*(q + 1)/7
Let w = -103 - -105. Let g(i) be the second derivative of -3*i - 1/66*i**4 + 0*i**w + 0 - 2/33*i**3. Factor g(k).
-2*k*(k + 2)/11
Let g be (-2305)/645 - (2 - 3). Let n = 4/43 - g. Factor -n*t**3 - 4/3*t - 2/3*t**4 - 10/3*t**2 + 0.
-2*t*(t + 1)**2*(t + 2)/3
Let t be 12/(-7)*406/(-580). Factor -4/5 + t*z - 2/5*z**2.
-2*(z - 2)*(z - 1)/5
Let a = 382 - 380. Suppose 1/3*u + 1/6*u**a + 1/6 = 0. Calculate u.
-1
Let i(g) be the second derivative of -2*g**6/15 - 4*g**5/5 + 11*g**4/3 - 4*g**3 + 2*g - 205. Factor i(f).
-4*f*(f - 1)**2*(f + 6)
Let c(u) be the first derivative of -14 + 0*u + 4*u**2 - 4/3*u**3. Factor c(w).
-4*w*(w - 2)
Supp