ermine c so that 0 - 11/4*c**4 - 27/4*c**3 - 1/4*c**5 - 25/4*c**2 - 2*c = 0.
-8, -1, 0
Let f = 53 - 54. Let z be ((-6)/(-12) + f)*-1. Suppose 1/2*x**3 + 1/4*x**4 - z*x - 1/4*x**2 + 0 = 0. Calculate x.
-2, -1, 0, 1
Let p = 34 - 34. Let u(r) be the second derivative of 1/24*r**3 + 1/48*r**4 - 2*r + p + 0*r**2. Factor u(j).
j*(j + 1)/4
Let b(d) = 15*d + 120. Suppose s - 10 = -18. Let p be b(s). What is t in 0*t**2 + 0*t**4 + 1/2*t**5 - 1/2*t**3 + 0*t + p = 0?
-1, 0, 1
Let t(g) be the first derivative of 1/12*g**4 + 0*g + 0*g**3 + 9 - 1/15*g**5 + 0*g**2. Factor t(r).
-r**3*(r - 1)/3
Let z(r) be the third derivative of 3/80*r**6 + 0*r**3 - 3/40*r**5 - 1/140*r**7 + 0*r**4 + 0 - 31*r**2 + 0*r + 1/2016*r**8. Solve z(u) = 0.
0, 3
Factor -45/2*y**3 - 3/4*y**5 - 27/4 - 99/4*y - 27/4*y**4 - 69/2*y**2.
-3*(y + 1)**3*(y + 3)**2/4
Let u(j) be the first derivative of -15*j + j**2 - 16 + 1/3*j**3. Factor u(r).
(r - 3)*(r + 5)
Let p = -2557 - -2561. Let i(n) be the third derivative of 0*n - 1/39*n**3 + 0 - 3*n**2 + 0*n**p + 1/390*n**5. Let i(t) = 0. Calculate t.
-1, 1
Let q(s) = -s**3 + s**2 - 3*s + 3. Let t be q(0). Factor -4*z**3 + 5*z**t - 3*z**5 + 12*z**3 - 6*z**2 - 4*z**3.
-3*z**2*(z - 1)**2*(z + 2)
Let c = 58 + -54. Let o be (-1)/(c*3/(-24)). Suppose 20/3*y - 4/3*y**o - 4/3*y**3 - 4 = 0. Calculate y.
-3, 1
Let b(f) = -f**2 + 1. Let y = -10 - -12. Let j(s) = -9*s - 81*s**y - 7 + 39*s + 12*s**2 - 2. Let v(m) = -6*b(m) - j(m). Let v(l) = 0. What is l?
1/5
Suppose 2*u - 4*k + 14 = 44, 3*u + 3*k - 9 = 0. Solve 19*p**3 - 2*p**2 - u*p**3 - 10*p**3 - 2*p**5 + 2*p**4 = 0.
-1, 0, 1
Let u(v) be the second derivative of 0 - v + 25/6*v**3 + 5/3*v**4 + 5/2*v**2. Let u(q) = 0. Calculate q.
-1, -1/4
Let h(i) be the third derivative of -5*i**2 - 4/45*i**5 + 0*i**3 + 0 + 1/336*i**8 + 1/18*i**4 + 23/360*i**6 - 1/45*i**7 + 0*i. What is x in h(x) = 0?
0, 2/3, 1, 2
Let j(n) be the second derivative of 1/4*n**5 + 1/2*n**6 + 0*n**2 - 5/4*n**4 + 50*n - 5/3*n**3 + 5/42*n**7 + 0. Solve j(z) = 0.
-2, -1, 0, 1
Solve -9*f + 37*f + f**2 + 26 - f = 0 for f.
-26, -1
Let s = 49 + -54. Let g(o) = -14*o**3 - 32*o**2 + 2*o + 2. Let t(v) = 15*v**3 + 32*v**2 - v - 3. Let w(k) = s*g(k) - 6*t(k). Let w(f) = 0. What is f?
-1, 2/5
Let j(s) be the second derivative of -s**4/60 - 78*s**3/5 - 27378*s**2/5 + 258*s. Factor j(d).
-(d + 234)**2/5
Let v be (0 + -25)*(-4 - -3). Suppose 3*y - v = -13. Factor 3*q - 3/5 + 24/5*q**y - 12/5*q**3 - 18/5*q**2.
3*(q + 1)*(2*q - 1)**3/5
Let s(k) be the second derivative of -k**7/1995 + k**5/190 - k**4/114 - 2*k**2 - 5*k. Let w(j) be the first derivative of s(j). Find y such that w(y) = 0.
-2, 0, 1
Let a(s) be the third derivative of -s**5/60 - 21*s**4/2 - 2646*s**3 + s**2 + 246. Factor a(q).
-(q + 126)**2
Suppose 5 = -28*h + 61. Factor 5/6*g**4 + 5/6*g**5 - 5/6*g**h - 5/6*g**3 + 0 + 0*g.
5*g**2*(g - 1)*(g + 1)**2/6
Let l(s) = 45*s**3 - 20*s**2 - 10*s - 11. Let y(h) = 4*h**3 - h**2 + h. Let b(o) = 4*l(o) - 44*y(o). Determine q, given that b(q) = 0.
-1, 11
Let l(b) = b + 10. Let s be l(-6). Solve -s + 1 - 1 + 20*z**3 + 36*z**2 - 20*z - 28*z**4 - 4 = 0 for z.
-1, -2/7, 1
Let w be (-48)/24 - (-9 - (0 - 2)). Let x(p) be the first derivative of 0*p + 2/35*p**5 + 1/14*p**4 - 1/7*p**2 - w - 2/21*p**3. Factor x(i).
2*i*(i - 1)*(i + 1)**2/7
Suppose -3*i = -2 - 13, -3*p + 6*i - 21 = 0. Factor 0 + 0*b - 21*b**p + 3/2*b**4 + 147/2*b**2.
3*b**2*(b - 7)**2/2
Solve 0 - 2/15*i**2 + 0*i - 2/5*i**3 = 0 for i.
-1/3, 0
Let a(i) be the second derivative of -i**5/30 - 2*i**4/3 + 5*i - 4. Factor a(b).
-2*b**2*(b + 12)/3
Let u = -2/98307 + 32771/98307. Determine x so that u - 1/3*x - 1/3*x**2 + 1/3*x**3 = 0.
-1, 1
Let v = -116 + 120. Let c(n) be the first derivative of 2/3*n**3 + 15 + 1/5*n**2 + 2/15*n**6 + 0*n + 14/25*n**5 + 9/10*n**v. Factor c(b).
2*b*(b + 1)**3*(2*b + 1)/5
Let m(x) be the second derivative of x**2 + 0*x**4 + 6*x - 1/270*x**5 + 0*x**3 + 0. Let b(y) be the first derivative of m(y). Find n such that b(n) = 0.
0
Let y(k) be the second derivative of -k**5/190 - 17*k**4/114 - 32*k**3/19 - 180*k**2/19 + 213*k. Solve y(u) = 0 for u.
-6, -5
Let v(c) = -3*c**2 + 2*c + 2. Let t be v(1). Let s = t - -1. Factor 1/2*n**s + 4*n + 2 - 3/2*n**3.
-(n - 2)*(n + 1)*(3*n + 2)/2
Let g(t) be the second derivative of t**4/132 + t**3/22 - 5*t**2/11 - t + 52. Determine l, given that g(l) = 0.
-5, 2
Suppose -2/5*r**2 + 88/5 - 14/5*r = 0. Calculate r.
-11, 4
Let s(x) be the first derivative of 3*x**5 - 51/4*x**4 + 21*x**3 + 6*x - 33/2*x**2 + 27. Find y, given that s(y) = 0.
2/5, 1
Suppose -2*u + 3*u - 6 = -2*h, 0 = -h - 3*u + 3. Let n(j) be the first derivative of -4*j**3 - 6*j - j - 2*j + 1 + h*j**3 + 6*j**2. Factor n(v).
-3*(v - 3)*(v - 1)
Factor -16/5*a**2 - 12/5 - 38/5*a.
-2*(a + 2)*(8*a + 3)/5
Let u be -1 - -5 - 10/60*-8. Determine b so that 4/9 + 10/9*b - 6*b**3 - u*b**2 = 0.
-1, -2/9, 1/3
Let l(p) be the third derivative of -p**8/70560 - 7*p**5/30 + 10*p**2. Let u(y) be the third derivative of l(y). Factor u(b).
-2*b**2/7
Let v(q) be the first derivative of 0*q + 5/2*q**2 + 5/3*q**3 + 4. Factor v(t).
5*t*(t + 1)
Factor -28/3 - 4/9*d**3 - 194/9*d - 6*d**2.
-2*(d + 6)*(d + 7)*(2*d + 1)/9
Let p(s) be the third derivative of 0*s - 1/12*s**5 - 35/24*s**4 - 15*s**2 + 0 - 5*s**3. Determine l, given that p(l) = 0.
-6, -1
Let d(h) = h + 1. Let j(o) = -3*o**2 - 8*o - 5. Let a = 0 + 1. Let f(b) = 21*b + 635. Let t be f(-30). Let c(x) = a*j(x) + t*d(x). Factor c(n).
-3*n*(n + 1)
Let j(w) be the third derivative of w**7/2016 + w**6/144 + w**5/32 - 47*w**4/24 + 39*w**2. Let y(a) be the second derivative of j(a). Factor y(k).
5*(k + 1)*(k + 3)/4
Let m be 2/10 + (-748)/(-110). Suppose m*b + 20 = 17*b. Find n, given that 0*n**b + 2/3 + 1/3*n**3 - n = 0.
-2, 1
Let h(p) = -p**3 - 2*p**2 - 1. Let z(y) = -3*y**3 + 19*y**2 - 43*y + 19. Let t(i) = 10*h(i) - 5*z(i). Let t(g) = 0. What is g?
1, 21
Let f(p) = -20*p**4 + 29*p**3 - 17*p**2 - 36*p + 30. Let v(w) = 9*w**4 - 15*w**3 + 9*w**2 + 18*w - 15. Let m(j) = 3*f(j) + 7*v(j). Suppose m(z) = 0. What is z?
-1, 1, 5
Suppose -6*o - 2*o + 2*o = 0. Let a(d) be the first derivative of -3/20*d**4 + 3 + 0*d + 0*d**2 + o*d**3. Factor a(t).
-3*t**3/5
Let w(x) = -x**2 + 8*x + 11. Let o be w(9). Determine c, given that -6*c - c**o + 6*c**3 - 6*c**2 + 16*c**2 = 0.
-2, 0, 1/2
Find q such that -1/6*q**4 + 4*q - 1/2*q**3 + 11/3*q**2 + 0 = 0.
-6, -1, 0, 4
Let p(h) be the third derivative of -3*h**5/20 + 31*h**4/8 + 11*h**3 - 85*h**2 + 4*h. Factor p(t).
-3*(t - 11)*(3*t + 2)
Let u(j) be the first derivative of 6*j**5/35 - 11*j**4/14 - 80*j**3/21 - 12*j**2/7 + 607. Solve u(y) = 0.
-2, -1/3, 0, 6
Let i(l) be the first derivative of 2/15*l + 1/15*l**2 - 1/15*l**4 + 2/75*l**5 - 4/45*l**3 + 1/45*l**6 - 4. Factor i(p).
2*(p - 1)**2*(p + 1)**3/15
Let q be 1636/(-640) - -2 - 8/(-20). Let p = 3/32 - q. Let -3/4*c**3 + 3/4*c + p*c**4 + 1/4*c**2 - 1/2 = 0. Calculate c.
-1, 1, 2
Suppose -4*p + 4 = -4. Let z = 9 - 6. Find r, given that -5*r**2 - 3*r**z + 0*r**2 - 3*r + p*r**2 + 9*r**2 = 0.
0, 1
Suppose -100 = 3*j + 95. Let s = j + 131/2. Suppose -5/8*a - 1/8*a**3 + 1/4 + s*a**2 = 0. What is a?
1, 2
Let u(j) = 8*j**4 - 15*j**3 + 7*j**2 - 3*j. Let q(v) = -55*v**4 + 105*v**3 - 50*v**2 + 20*v. Let f(a) = 3*q(a) + 20*u(a). Suppose f(k) = 0. Calculate k.
0, 1, 2
Let q(g) = 48*g**2 - 2967*g - 2988. Let u(v) = 7*v**2 - 424*v - 427. Let r(x) = 4*q(x) - 27*u(x). Factor r(w).
3*(w - 141)*(w + 1)
Let v be (-456)/342 + 2*622/42. Determine z, given that 69/7*z - 6/7 - v*z**2 = 0.
1/6, 2/11
Solve 0 + 0*i + 104/5*i**3 - 103/5*i**2 - 1/5*i**4 = 0 for i.
0, 1, 103
Let w(a) be the third derivative of a**8/672 - a**7/140 - a**6/48 + a**5/40 + a**4/12 - 10*a**2 - 4. Find j such that w(j) = 0.
-1, 0, 1, 4
Let b = 53 + -35. Factor d**2 + 4 + b*d + 18*d - 41*d.
(d - 4)*(d - 1)
Factor 0*d + 0 - 2*d**3 + 1/5*d**4 + 9/5*d**2.
d**2*(d - 9)*(d - 1)/5
Let 27/5*n - 3/2*n**4 + 1/10*n**5 - 11/2*n**3 + 0 + 3/2*n**2 = 0. What is n?
-3, -1, 0, 1, 18
Let u(j) be the second derivative of -9*j**5/5 + 59*j**4/3 + 496*j**3/27 + 56*j**2/9 + 7*j + 2. Factor u(f).
-4*(f - 7)*(9*f + 2)**2/9
Let t be (-16)/(-14) + -54 + 54. Let p(y) be the first derivative of -17/7*y**2 - 8 + 40/21*y**3 + t*y - 2/7*y**4. Solve p(v) = 0.
1/2, 4
Let p(s) 