*3 + 1/150*o**6 - 1/525*o**7 - 1/30*o**a + 0*o**5 + 3*o**2. Factor v(q).
-2*(q - 1)**3*(q + 1)/5
Let k(w) be the first derivative of -2*w**5/25 + w**4/10 + 2*w**3/15 - w**2/5 - 37. Find u such that k(u) = 0.
-1, 0, 1
Let w be (-2)/((-16)/6)*(21 + 3). Factor 3*q**3 - w*q**4 + 899*q**2 - 899*q**2 + 27*q**5.
3*q**3*(3*q - 1)**2
Let m be 10/335*3270/(-72). Let w = -3/134 - m. Factor -w*b**4 - 4/3*b**5 + 0*b + 0 + 4/3*b**3 + 4/3*b**2.
-4*b**2*(b - 1)*(b + 1)**2/3
Let g = -709 + 709. Let w(r) be the third derivative of 0 + g*r + 1/21*r**3 - r**2 + 0*r**4 - 1/210*r**5. What is z in w(z) = 0?
-1, 1
Let x(m) = -m**2 - 1. Let c(p) = -6*p**2 - 32*p - 36. Let d(i) = 4*c(i) - 20*x(i). Determine u, given that d(u) = 0.
-31, -1
Let a(f) = -f**2 - 7*f - 10. Let x be a(-3). Determine m so that -m**4 - 12*m**x - 5*m**3 - 35*m + 31*m + 4*m**2 = 0.
-2, -1, 0
Let c(t) be the second derivative of -t**6/480 + t**5/40 - 3*t**4/32 + 2*t**3/3 - 3*t. Let f(j) be the second derivative of c(j). Solve f(k) = 0 for k.
1, 3
Let k = -1/18732 + 5353/18732. Factor 6*x**2 + 98 + k*x**3 + 42*x.
2*(x + 7)**3/7
Find b such that 3/4*b**3 - 33 - 30*b - 21/4*b**2 = 0.
-2, 11
Factor 6*q**2 + 31*q + 32*q + 0*q**2 - 9*q**2 - 60.
-3*(q - 20)*(q - 1)
Suppose -5*q = -0*q. Suppose q = x - 4 + 2. Determine t so that -92*t**2 - 1 + 6 + 97*t**x - 10*t = 0.
1
Let f(x) be the second derivative of -x**6/30 + x**5/4 + 4*x**4 - 42*x**3 - 104*x - 2. Suppose f(n) = 0. What is n?
-7, 0, 6
Let p(q) be the first derivative of 7*q**6/18 - 2*q**5 + 3*q**4 - 8*q**3/9 - 173. Factor p(v).
v**2*(v - 2)**2*(7*v - 2)/3
Let x(s) be the first derivative of 2*s**3/11 - 9*s**2/11 - 24*s/11 - 34. Factor x(f).
6*(f - 4)*(f + 1)/11
Let b(l) be the third derivative of l**6/480 - l**5/60 - 5*l**4/96 - 266*l**2. Factor b(s).
s*(s - 5)*(s + 1)/4
Solve -39/5*k + 18/5 + 21/5*k**3 + 6/5*k**4 - 6/5*k**2 = 0.
-3, -2, 1/2, 1
Let k(m) be the second derivative of m**4/6 + 20*m**3/3 + 19*m**2 - 189*m. Factor k(o).
2*(o + 1)*(o + 19)
Let g(t) be the second derivative of t**4/8 - 83*t**3/2 + 20667*t**2/4 - 85*t + 1. Factor g(s).
3*(s - 83)**2/2
Let n(b) be the third derivative of 0*b - 1/80*b**6 + 22*b**2 + 0*b**4 + 0*b**3 - 7/40*b**5 + 0. Factor n(i).
-3*i**2*(i + 7)/2
Let q be (-3 - -3 - 0)/(5 + -3). Let h(l) be the second derivative of 1/2*l**2 - 1/6*l**4 + 0*l**3 + 0 - 6*l + 1/30*l**6 + q*l**5. Suppose h(g) = 0. What is g?
-1, 1
Let t(q) be the third derivative of q**7/168 + q**6/12 + 11*q**5/24 + 5*q**4/4 + 11*q**3/3 + q**2. Let z(x) be the first derivative of t(x). Factor z(l).
5*(l + 1)*(l + 2)*(l + 3)
Let h(o) = 4*o**3 + 12*o. Let v(l) be the first derivative of l**4/4 + 2*l**2 + 7. Let a(x) = 5*h(x) - 16*v(x). Solve a(f) = 0.
-1, 0, 1
Let r(c) be the second derivative of -c**6/300 + c**5/200 + c**4/30 - c**3/15 - 108*c. Determine o, given that r(o) = 0.
-2, 0, 1, 2
Let i(m) be the second derivative of 2*m**7/21 + 4*m**6/3 + 36*m**5/5 + 18*m**4 + 18*m**3 + 127*m. Factor i(h).
4*h*(h + 1)*(h + 3)**3
Let s(p) be the first derivative of p**4/4 + 3*p**3 - 108*p + 329. Determine h so that s(h) = 0.
-6, 3
Let i(u) = -10*u**3 - 86*u**2. Let w(g) = -5*g**3 - 42*g**2. Let p(t) = -6*i(t) + 13*w(t). Find b, given that p(b) = 0.
-6, 0
Let a(t) = t**2 - 6*t + 11. Let i be a(-10). Let j = i + -169. Factor 4/5*w**j + 0 + 4/5*w**3 - 8/5*w.
4*w*(w - 1)*(w + 2)/5
Let q(b) be the first derivative of 10*b**5/7 - 55*b**4/14 - 16*b**3/3 - 12*b**2/7 - 498. Factor q(t).
2*t*(t - 3)*(5*t + 2)**2/7
Factor -24*q + 3/8 + 384*q**2.
3*(32*q - 1)**2/8
Let l(r) be the second derivative of -2*r**7/147 + 2*r**6/35 + r**5/35 - r**4/7 + 5*r + 6. Find m such that l(m) = 0.
-1, 0, 1, 3
Let k = 11 - 19. Let i be -6*(-2)/k*-2. Factor -s + i*s**2 + 4*s + 11 - 11.
3*s*(s + 1)
Factor 24/5*h + 9 + 3/5*h**2.
3*(h + 3)*(h + 5)/5
Let p(o) be the first derivative of -1/5*o**4 + 2/25*o**5 - 6 + 0*o + 2/5*o**2 - 2/15*o**3. Suppose p(v) = 0. Calculate v.
-1, 0, 1, 2
Let w(j) = -3*j**2 + 11*j - 8. Let d(p) = 2*p - 4. Let q be d(4). Let z(y) = 2 + q - 5. Let n(m) = 3*w(m) + 6*z(m). Factor n(v).
-3*(v - 3)*(3*v - 2)
Let h(p) = 3*p**2 - 24*p - 52. Let y(c) = -c**2 - c - 2. Let n(s) = h(s) + 2*y(s). Let n(j) = 0. Calculate j.
-2, 28
Let c(l) = l**3 - 6*l**2 - l - 7. Let i be c(7). Let k be (4/(-5))/((-14)/i). Factor -1/4 + 1/4*b**3 + 3/4*b - 3/4*b**k.
(b - 1)**3/4
Solve 48 + 160*y + 24*y**3 + y**3 + 8*y**3 + 124*y**2 - 5*y**3 = 0 for y.
-2, -3/7
Let p be (4/150)/(86/860)*10. Factor -8*v + 0 + p*v**2 - 2/9*v**3.
-2*v*(v - 6)**2/9
Let u(t) be the third derivative of t**6/80 + t**5/10 - t**4/16 - t**3 - t**2 - 35*t. Suppose u(m) = 0. What is m?
-4, -1, 1
Factor 102/5*l**3 + 3/5*l**4 + 768/5 + 1632/5*l + 963/5*l**2.
3*(l + 1)**2*(l + 16)**2/5
Let t(n) = n**2 - 2. Let j(y) = y**3 - 7*y**2 + 12. Let z(f) = -j(f) - 4*t(f). Factor z(s).
-(s - 2)**2*(s + 1)
Solve 1/2 + 1/4*h - 1/4*h**2 = 0.
-1, 2
Let z(t) be the third derivative of -1/24*t**4 - 49*t**2 + 1/9*t**3 + 0*t + 0 + 1/180*t**5. Determine g, given that z(g) = 0.
1, 2
Let p be (-12)/(-42)*(3 - (-13)/5). Factor p*b**3 - 8/5*b**4 + 2/5*b**5 - 2*b + 4/5 + 4/5*b**2.
2*(b - 2)*(b - 1)**3*(b + 1)/5
Suppose -4*z + 2*t = -4, 4*t - 24 = -5*z - 6. Suppose -z*c - c + 18 = 3*q, -4*c + 4*q = 0. What is d in 13*d**c - 9*d**3 + 4*d**2 - 8*d**3 = 0?
0, 1
Let g(u) = u**3 - 2*u**2 + u + 1. Let c(y) = 5*y**3 - 4*y**2 - 29*y + 43. Let w(q) = -c(q) + 3*g(q). Factor w(j).
-2*(j - 2)**2*(j + 5)
Let z(y) be the second derivative of -y**5/10 - 7*y**4/3 - 32*y**3/3 + 128*y**2 - 40*y - 2. Factor z(v).
-2*(v - 2)*(v + 8)**2
Let o(d) = -3*d**4 + 201*d**3 + 72*d**2 - 7401*d - 7278. Let t(v) = -v**4 + 50*v**3 + 18*v**2 - 1850*v - 1819. Let p(n) = 2*o(n) - 9*t(n). Solve p(k) = 0.
-5, -1, 11
Let n(f) = 9*f**4 - 19*f**3 - 15*f**2 + 43*f + 22. Let c(b) = 10*b**4 - 20*b**3 - 15*b**2 + 45*b + 20. Let u(y) = -4*c(y) + 5*n(y). Factor u(d).
5*(d - 3)*(d - 2)*(d + 1)**2
Let w(c) be the first derivative of -c**6/1980 + c**5/33 - 25*c**4/33 - 25*c**3/3 - 12. Let s(m) be the third derivative of w(m). Factor s(p).
-2*(p - 10)**2/11
Let w(b) be the second derivative of b - 1/12*b**4 - 1/2*b**3 - 3/2*b**2 + 0. Let k(d) = -2*d**2 - 6*d - 7. Let f(n) = -6*k(n) + 14*w(n). Factor f(l).
-2*l*(l + 3)
Let i(k) = 789*k**3 - 5*k**4 - 795*k**3 + 8*k**5 - k + 4*k. Let n(v) = -15*v**5 + 9*v**4 + 12*v**3 - 6*v. Let s(j) = -9*i(j) - 5*n(j). Factor s(r).
3*r*(r - 1)**2*(r + 1)**2
Factor 53*s**2 + 4069*s - 599*s**2 + 75*s**3 - 60*s**2 + 5*s**4 - 339*s**2 - 964*s - 3240.
5*(s - 3)**3*(s + 24)
Let f(k) be the second derivative of 1/6*k**4 + 13*k + 4/3*k**3 + 0 + 3*k**2. Suppose f(l) = 0. Calculate l.
-3, -1
Let l = 1601 - 1601. Let o(g) be the second derivative of 1/35*g**5 + 0*g**3 - 1/42*g**7 + 0*g**4 + 0*g**2 + 7*g - 2/35*g**6 + l. Suppose o(a) = 0. What is a?
-2, 0, 2/7
Let t(r) be the first derivative of 20*r**3/3 - 55*r**2/2 + 30*r + 100. Factor t(g).
5*(g - 2)*(4*g - 3)
Let k(q) = q**2 - 28*q - 32. Let o be k(28). Let d = o - -32. Let 2/17*n**5 + 12/17*n**3 - 8/17*n**4 + 2/17*n + d - 8/17*n**2 = 0. Calculate n.
0, 1
Let v = 16939/111 - 306/37. Let u = 145 - v. Factor -u + 2/3*m**2 + 0*m.
2*(m - 1)*(m + 1)/3
Let a be ((-18)/27)/((-2)/(-579)). Let m = 580/3 + a. Determine q, given that -m*q**3 + 0 + 1/6*q + 1/6*q**5 + 0*q**2 + 0*q**4 = 0.
-1, 0, 1
Suppose 37 = 25*p + 37. Determine m so that 1/7 - 2/7*m**3 - 1/7*m**4 + 2/7*m + p*m**2 = 0.
-1, 1
Factor 0*v**2 + 86/17*v - 2/17*v**3 + 84/17.
-2*(v - 7)*(v + 1)*(v + 6)/17
Let h(d) be the second derivative of d**7/56 - d**6/36 - d**5/24 - d**3/2 - 38*d. Let g(o) be the second derivative of h(o). What is n in g(n) = 0?
-1/3, 0, 1
Let q(d) be the second derivative of d**5/5 - 10*d**4/3 + 58*d**3/3 - 40*d**2 + 5*d + 1. Factor q(t).
4*(t - 5)*(t - 4)*(t - 1)
Let g(o) = -o - 7. Let s be g(-8). Let r = 7 - s. Factor -7*x**2 - 3*x**4 - x**4 + 4*x**2 + r*x**3 + x**4.
-3*x**2*(x - 1)**2
Suppose 7*d - 37134 = -37113. Let 0 + 4/7*g**2 + 2/7*g + 2/7*g**d = 0. Calculate g.
-1, 0
Suppose 18 - 168 = 5*g. Let a be (-8)/g + 8/60. Factor 4/5*m - 2/5*m**2 - a.
-2*(m - 1)**2/5
Factor -16/3*o**2 + 0 + 0*o - 16/3*o**3 + 20*o**4.
4*o**2*(3*o - 2)*(5*o + 2)/3
Factor 1 + 5/3*b - 1/3*b**3 + 1/3*b**2.
-(b - 3)*(b + 1)**2/3
Let v(p) be the third derivative of -p**9/7560