*u. Suppose 0 + 8/5*a**4 - 8/5*a**5 - 2/5*a + w*a**3 - 4/5*a**u = 0. Calculate a.
-1/2, 0, 1
Suppose 5407*l - 5423*l + 48 = 0. Find m such that 0*m + 0 - 1/3*m**2 - 1/3*m**l = 0.
-1, 0
Let v(z) be the second derivative of -z**6/15 + 4*z**5/5 - 5*z**4/2 - 8*z**3/3 + 16*z**2 - 93*z. Factor v(m).
-2*(m - 4)**2*(m - 1)*(m + 1)
Suppose 165/4*v**3 - 25*v**4 + 0 + 15/2*v**2 - 15/4*v**5 - 20*v = 0. What is v?
-8, -2/3, 0, 1
Find h, given that -2*h**3 + 1 + 2*h - 6*h**2 - 1 + 4 + 2*h**3 - 2*h**3 + 2*h**4 = 0.
-1, 1, 2
Let g(x) be the third derivative of x**8/2352 - x**7/245 + 13*x**6/840 - x**5/35 + x**4/42 + 7*x**2 - 8. Solve g(m) = 0.
0, 1, 2
Suppose -3*v**4 + 14*v**3 - 2*v**4 + 3*v**4 + 15*v**5 - 6*v**2 - 13*v**5 - 8*v**4 = 0. Calculate v.
0, 1, 3
Let h be 82/533 + (-37)/(-13). Factor -1/2 + 1/6*r**h - 5/6*r - 1/6*r**2.
(r - 3)*(r + 1)**2/6
Let o(x) = -x + 1. Let k be 26/39*6/4. Let u(a) = -4*a**2 + 10*a - 6. Let v(i) = k*u(i) - 2*o(i). Let v(b) = 0. Calculate b.
1, 2
Let z(f) be the first derivative of f**4/16 - f**3/12 - 2*f**2 - 5*f - 85. Suppose z(l) = 0. Calculate l.
-2, 5
Let h(z) be the first derivative of 3*z**5/5 - 3*z**4/2 - 11*z**3 + 18*z**2 - 355. Factor h(v).
3*v*(v - 4)*(v - 1)*(v + 3)
Determine y so that 2/11*y**2 - 10/11 - 8/11*y = 0.
-1, 5
Let z(c) be the third derivative of -c**5/15 + 23*c**4/4 + 35*c**3/3 + c**2 - 124*c. Let z(q) = 0. What is q?
-1/2, 35
Suppose -2 = 3*j + l, 5*l - 4 = -3*j - 14. Let p(w) be the second derivative of -9*w + 0 + j*w**3 + 0*w**2 + 1/6*w**4. Factor p(f).
2*f**2
Let x(t) be the first derivative of -t**7/5040 - t**6/1080 + t**5/720 + t**4/72 + 37*t**3/3 + 7. Let v(l) be the third derivative of x(l). Factor v(y).
-(y - 1)*(y + 1)*(y + 2)/6
Let c(o) = o**2 + 3*o + 38. Let u be c(0). Suppose 17*t + 3*t**2 - t**5 - u*t - 3*t**4 + 23*t - t**3 = 0. Calculate t.
-2, -1, 0, 1
Let q be 10*1*26/(-65). Let o(g) = -21*g**3 - 36*g**2 - 27*g + 84. Let f(p) = 3*p**3 + 5*p**2 + 4*p - 12. Let y(k) = q*o(k) - 27*f(k). Solve y(z) = 0 for z.
-2, 1
Factor -2*q**3 + 18*q - 10*q - 3*q**3 - 23*q**2 + 17*q + 3*q**2.
-5*q*(q - 1)*(q + 5)
Let f be ((-88)/66)/(1/(-3)). Let g(y) be the first derivative of 0*y - 1/25*y**5 - 4 - 1/20*y**f + 0*y**3 + 0*y**2. Factor g(w).
-w**3*(w + 1)/5
Let r(h) be the first derivative of 2*h**5/15 - 13*h**4/18 + 14*h**3/9 - 5*h**2/3 + 8*h/9 + 65. Factor r(k).
2*(k - 1)**3*(3*k - 4)/9
Let b(h) be the first derivative of 1/5*h**5 - 5 - h**2 + 0*h - h**3 + 0*h**4. Factor b(n).
n*(n - 2)*(n + 1)**2
Find u such that -1/3*u**2 - 1 - 4/3*u = 0.
-3, -1
Suppose 3*i + 2*i - 5 = 0, 3*i = -5*v + 228. Let a be (-22)/(-55) - 8/v. Determine n so that 8/9 + 8/9*n + a*n**2 = 0.
-2
Let n(u) be the third derivative of u**9/78624 - u**8/16380 - u**7/8190 + u**5/30 + 13*u**2. Let d(r) be the third derivative of n(r). Factor d(i).
2*i*(i - 2)*(5*i + 2)/13
Let r(z) be the third derivative of z**7/504 - z**5/24 + z**4/6 + 6*z**2. Let j(x) be the second derivative of r(x). Factor j(o).
5*(o - 1)*(o + 1)
Let f(p) be the second derivative of p**7/63 - 4*p**6/45 + 2*p**5/15 + p**4/9 - 5*p**3/9 + 2*p**2/3 + 6*p - 1. Determine v so that f(v) = 0.
-1, 1, 2
Let x(i) be the third derivative of i**5/12 + 11*i**4/48 + i**3/12 + 2*i**2 - 113. Factor x(w).
(w + 1)*(10*w + 1)/2
Let o be 0 - (-8 - 3/1). Let y = o + -8. Factor -l**3 - 2*l**y - 6*l**2 + 6*l**3.
3*l**2*(l - 2)
Let z(u) = 5 - 2 + 4*u**2 - u**2. Let q(h) = -2*h**2 - 3. Let s(x) = -6*q(x) - 5*z(x). Factor s(l).
-3*(l - 1)*(l + 1)
Suppose 714*n = 723*n - 45. Let s(u) be the second derivative of 8*u + 0 - 1/50*u**6 + 1/100*u**n + 0*u**2 + 2/15*u**4 + 2/15*u**3. Factor s(d).
-d*(d - 2)*(d + 1)*(3*d + 2)/5
Let -4*x + 2/7*x**3 + 0 - 10/7*x**2 = 0. Calculate x.
-2, 0, 7
Let s(i) be the third derivative of i**5/12 - 2*i**4/3 + i**3/2 - 3*i**2 - 36*i. Determine u so that s(u) = 0.
1/5, 3
Let b be 24 - 17 - (1 - 0)/(16/104). Determine k so that 3/2*k - b*k**2 + 0 = 0.
0, 3
Let -1/2*a**3 + 5/2*a**2 + 1/2*a - 5/2 = 0. What is a?
-1, 1, 5
Let m(u) be the third derivative of 5/3*u**4 + 7/60*u**6 - 8/3*u**3 + 0*u - 10*u**2 + 13/15*u**5 - 1. Factor m(g).
2*(g + 2)**2*(7*g - 2)
Let k = -147 - -169. Let w be k/121 - 4/22. Factor 15/2*z**3 + w*z - 3/2*z**2 + 0.
3*z**2*(5*z - 1)/2
Let s(a) = -125*a**4 + 1415*a**3 - 3085*a**2 - 2375*a + 2275. Let z(p) = 21*p**4 - 236*p**3 + 514*p**2 + 396*p - 379. Let r(l) = 4*s(l) + 25*z(l). Factor r(y).
5*(y - 5)**2*(y + 1)*(5*y - 3)
Let a = 3 - -9. Let b be (2/3)/(a/36). Find l such that -l**5 + 10*l**4 - 20*l**3 - 10*l + 20*l**2 - l**5 - b + 0 + 4 = 0.
1
Suppose 0 = p - 5 + 3. Let n be (3/(-6))/((-8)/100). Suppose -25/4*m**3 + n*m**4 + m + 0 - m**p = 0. Calculate m.
-2/5, 0, 2/5, 1
Let k(g) = -g**3 + 15*g**2 + 13*g + 52. Let s be k(16). Factor 3*z**3 + 0 - 3*z - 3/2*z**2 + 3/2*z**s.
3*z*(z - 1)*(z + 1)*(z + 2)/2
Let b(r) = 2*r + 19. Let y be b(-10). Let j be y - (-6)/4 - (-2)/(-4). Factor 0*l - 1/4*l**4 + j - 1/4*l**2 + 1/2*l**3.
-l**2*(l - 1)**2/4
Solve 6*m**3 - 10/3*m**2 - 2*m**4 + 0 - 2/3*m**5 + 0*m = 0 for m.
-5, 0, 1
Let r(p) be the first derivative of p**6/165 - p**5/55 + p**4/66 - 4*p + 28. Let c(g) be the first derivative of r(g). Suppose c(y) = 0. Calculate y.
0, 1
Let w = -212 - -218. Let o(b) be the second derivative of -1/6*b**w - 7/6*b**3 + b**2 + 1/4*b**4 + 5*b + 0 + 7/20*b**5. Find n, given that o(n) = 0.
-1, 2/5, 1
Let o(c) be the second derivative of c**3 + 0 - 3/2*c**2 - 1/4*c**4 - 13*c. Factor o(b).
-3*(b - 1)**2
Solve 94/7*o**2 + 8*o + 2*o**3 - 24/7 = 0.
-6, -1, 2/7
Let a = -2 - -20. Find b, given that a*b**4 + 52*b**2 - 27*b + 6 - 3*b**5 + 10*b**3 - 52*b**3 - 4*b**2 = 0.
1, 2
Let x(r) = 3*r - 13. Let w be x(5). Factor -3 - 2*q**2 + 0*q**2 + w*q - 2*q**2 + 5*q**2.
(q - 1)*(q + 3)
Let z be (0 + (-12)/20)/((-2)/45). Suppose -15*t**4 + 0*t + 0 - z*t**3 - 3*t**2 - 9/2*t**5 = 0. What is t?
-2, -1, -1/3, 0
Let q(d) be the third derivative of d**7/2520 - d**6/120 + 3*d**5/40 - 29*d**4/24 - 2*d**2. Let s(m) be the second derivative of q(m). Factor s(r).
(r - 3)**2
Let m(r) = -2*r**3 - r**2 - 1. Let l(i) = -11*i**3 + 22*i**2 - 35*i + 12. Let f(w) = l(w) - 3*m(w). Factor f(c).
-5*(c - 3)*(c - 1)**2
Let w(q) be the first derivative of 4/9*q**2 + 21 + 2/3*q + 2/27*q**3. Suppose w(o) = 0. Calculate o.
-3, -1
Suppose -16*q + 14*q = -16. Suppose 46*f**3 + 17*f**3 - 98*f**4 + 35*f**3 + 8*f**2 - q*f = 0. What is f?
-2/7, 0, 2/7, 1
Let t be (1 - 12/14)*(4 - -11). Let y = 3 - t. Suppose 2/7*j**3 + 6/7*j + y*j**2 + 2/7 = 0. What is j?
-1
Factor k**3 + 19*k - 7*k**3 - 11*k + k**3 + k**3 + 6 - 2*k**2.
-2*(k + 1)**2*(2*k - 3)
Solve 121/2*t**5 + 77/2*t**4 + 0 - 141*t**3 + 46*t**2 - 4*t = 0.
-2, 0, 2/11, 1
Let j(n) be the first derivative of 0*n**5 + 2 + 1/12*n**3 - 1/2*n**2 - 1/32*n**4 + 1/480*n**6 + 0*n. Let b(t) be the second derivative of j(t). Factor b(l).
(l - 1)**2*(l + 2)/4
Let y = -2 - -1. Let v(r) = -r**2 - 4*r - 3. Let o(q) = -35*q**2 + 36*q**2 - 4 + 5. Let f(p) = y*v(p) - 3*o(p). Factor f(i).
-2*i*(i - 2)
Let f(t) be the second derivative of 0*t**2 + 3/2*t**3 + 0 + t**4 + 3/20*t**5 + 10*t. Factor f(o).
3*o*(o + 1)*(o + 3)
Let p be 4/(-30) - 12/(-90). Suppose -32 = -3*r + 4*y - 7, p = y + 4. Let -9/5*g**r + 3*g**2 + 6/5*g + 0 = 0. What is g?
-1/3, 0, 2
Suppose 0 = 4*y - o - 1, -2*y - 2*o + 7*o = -23. Let s be (y/21)/(-7 - 140/(-21)). Find n such that -2/7*n**3 - 8/7*n**2 + 2/7*n**4 + s*n**5 - n - 2/7 = 0.
-1, 2
Let g = -27 - -31. Factor 6*r**2 - 5*r**2 + 0 - 2*r**2 - g*r - 4.
-(r + 2)**2
Let c = 94 - 56. Factor -10 - 2*b**2 + 10*b + c*b - 211 - 67.
-2*(b - 12)**2
Let i be (-68)/24 - (-2)/(-12). Let k(w) = -8*w**4 + 4*w**3 - 4*w**2. Let n(s) = -7*s**4 + 4*s**3 - 3*s**2. Let z(b) = i*k(b) + 4*n(b). Solve z(t) = 0 for t.
0, 1
Let c(u) be the first derivative of -1/3*u**3 + 2*u + 0*u**4 + 1/10*u**5 + 0*u**2 - 2. Let s(t) be the first derivative of c(t). Find y such that s(y) = 0.
-1, 0, 1
Let i(y) = -11*y**4 + 19*y**3 - 36*y**2 - 26*y + 40. Let q(x) = x**4 + x**3 + x**2 + x. Let h(v) = -i(v) - 6*q(v). Suppose h(g) = 0. Calculate g.
-1, 2
Let j(t) = -2*t**3 + t**2 + 3*t**3 - 2*t**3. Let g be j(-1). Let -4*h**3 - 3*h**2 + 4*h**g + h**2 + 2*h**4 = 0. What is h?
0, 1
Let m(d) be the first derivative of -3*d**5/5 - 15*d**4/2 - 25*d**3 + 14. Determine q so th