)*(z - 1)**2/7
Let f(y) be the first derivative of -y**6/2 - 9*y**5/5 - 9*y**4/4 - y**3 + 20. Suppose f(u) = 0. What is u?
-1, 0
Let q(m) = -95*m**2 + 125*m - 2870. Let r(n) = -11*n**2 + 14*n - 319. Let u(c) = 4*q(c) - 35*r(c). Factor u(x).
5*(x - 7)*(x + 9)
Suppose -f - 76 = -2*v, v + 21 = -5*f + 70. Let t be v/6 - 12/(-8). Factor -7 + 2*u**3 - t*u + 15 - u**2 - u**2.
2*(u - 2)*(u - 1)*(u + 2)
Let a be 1*18/12*1*2. Determine m, given that m**4 + 3*m + m - 4 + 20*m**2 - 10*m**2 - 4*m**a - 7*m**2 = 0.
-1, 1, 2
Suppose 5*n = 3*n - n. Let h be 1*-1*(0/2 - n). Suppose -2/7*x**5 - 2/7*x**3 + 4/7*x - 6/7*x**4 + h + 6/7*x**2 = 0. What is x?
-2, -1, 0, 1
Let q(v) = 43*v**2 - 51*v**3 + 0 - 53*v**2 - 4. Let n(y) = -y**3 + 1. Let i(t) = -4*n(t) - q(t). Find b, given that i(b) = 0.
-2/11, 0
Let v be ((-15840)/(-3300))/((-14)/(-30)). What is y in 36/7 + 192/7*y**3 - v*y**4 - 6*y**5 + 36/7*y**2 - 150/7*y = 0?
-3, -1, 2/7, 1
Let f(w) be the first derivative of 3*w**6 + 138*w**5/5 + 56*w**4 - 72*w**3 - 96*w**2 + 128*w - 58. Let f(g) = 0. Calculate g.
-4, -1, 2/3
Let c be (119/(-21) - -6) + 214/(-18). Let d = 782/63 + c. Let -4/7*f**5 - 1/7 + 9/7*f**4 - 2/7*f**3 + d*f - 8/7*f**2 = 0. Calculate f.
-1, 1/4, 1
Let s(p) be the first derivative of -36 - 4*p + 2/5*p**5 - 2*p**3 + 1/2*p**4 - 5*p**2. Factor s(v).
2*(v - 2)*(v + 1)**3
Let u(t) be the third derivative of -t**6/480 + 13*t**5/480 + 5*t**4/48 - 43*t**3/6 - 39*t**2. Let l(f) be the first derivative of u(f). Factor l(n).
-(n - 5)*(3*n + 2)/4
Let i(s) be the second derivative of 42*s + 0 - 63/2*s**3 + 147/2*s**2 + 15/4*s**4 - 3/20*s**5. Suppose i(k) = 0. Calculate k.
1, 7
Let g(k) be the second derivative of k**4/2 + 5*k**3/2 + 3*k**2 + 4*k. Let x(u) = 11*u**2 + 29*u + 13. Let b(h) = 5*g(h) - 3*x(h). Let b(q) = 0. Calculate q.
-3, -1
Let q(u) be the second derivative of 14*u + 2/15*u**6 + 0*u**3 + 1/5*u**5 + 0 + 0*u**2 + 0*u**4. Let q(y) = 0. Calculate y.
-1, 0
Factor -8 + 10/3*h**3 + 62/3*h - 16*h**2.
2*(h - 3)*(h - 1)*(5*h - 4)/3
Solve j**2 - 8/5 + 2/5*j + 1/5*j**3 = 0 for j.
-4, -2, 1
Let p(h) be the second derivative of h**7/60 - h**6/150 - 7*h**5/40 + h**4/12 + 7*h**3/15 - 2*h**2/5 + 3*h - 2. Find s such that p(s) = 0.
-2, -1, 2/7, 1, 2
Let z(l) be the third derivative of l**8/112 + 4*l**7/105 - l**6/40 - l**5/5 + l**4/6 - 118*l**2. Factor z(o).
o*(o - 1)*(o + 2)**2*(3*o - 1)
Let y(x) = 551*x + 17635. Let o be y(-32). Factor 0 - 32/7*n**o - 64/7*n**2 - 4/7*n**5 + 4*n**4 + 0*n.
-4*n**2*(n - 4)**2*(n + 1)/7
Let g = -91 - -91. Determine w, given that 157*w + g*w**2 - 85*w - 3*w**2 - 432 = 0.
12
Let i(h) = 2*h + 44. Let p be -22 + (-3)/((-3)/1). Let m be i(p). Find t, given that -1/2*t**m - 9/2 + 3*t = 0.
3
Let u(x) = -x**3 + 11*x**2 - 9*x - 7. Let b be u(10). Let t be (7 - b) + 0/(-1). What is k in k**t - 5*k**4 + 4*k**5 + 8*k + 10*k**2 - 6*k**2 - 12*k**3 = 0?
-1, 0, 1, 2
Solve -143/4*z + 73/4*z**2 - 1/4*z**3 + 71/4 = 0 for z.
1, 71
Let a(j) = 21*j**5 + 7*j**4 - 18*j**3 - 10*j**2 - 3*j. Let c(r) = 2*r**5 - r**4 - r**3 - r. Let s(p) = -a(p) + 3*c(p). Let s(i) = 0. Calculate i.
-1, -2/3, 0, 1
Let z(f) be the second derivative of 1/60*f**4 - 2/5*f**2 - 21*f + 0 + 1/10*f**3. Factor z(a).
(a - 1)*(a + 4)/5
Let f(h) be the first derivative of 2*h**3/3 + 9*h**2 + 16*h + 22. Factor f(v).
2*(v + 1)*(v + 8)
Let z(w) be the third derivative of -1/24*w**4 + 0*w - 2/15*w**3 + 6*w**2 + 0 - 1/300*w**5. Determine k so that z(k) = 0.
-4, -1
Determine h, given that 3/2*h**3 - 15/2*h - 63/4 + 39/4*h**2 = 0.
-7, -1, 3/2
Let l(q) = -q**4 - q**3 + q. Let u(r) = 50*r**2 - r**3 - 2*r - 29*r**3 + 4*r**4 + 12*r**3. Let y(o) = -2*l(o) - u(o). Suppose y(s) = 0. Calculate s.
0, 5
Suppose 34 = -4*i + 46. Suppose -i = -3*m + 6. Factor -1/3*n**m + 1/3 - 1/3*n**2 + 1/3*n.
-(n - 1)*(n + 1)**2/3
Determine k so that -31*k**3 + 28*k**3 - 3*k**4 + 30 + 0 - 69*k + 45*k**2 + 0*k**4 = 0.
-5, 1, 2
Let w = -44 + 48. Suppose 0 = -w*q - 2*b + 6*b + 20, q - 5 = -4*b. Let 2*r**3 - 2/11*r**4 - 6/11*r**q - 16/11*r - 6/11*r**2 + 8/11 = 0. Calculate r.
-2, -1, 2/3, 1
Let f(g) be the third derivative of g**5/210 - 12*g**4/7 - g**2 + 31. Factor f(y).
2*y*(y - 144)/7
Factor 7/2*j**4 + 23*j**2 - 4 + 33/2*j**3 + 6*j.
(j + 1)*(j + 2)**2*(7*j - 2)/2
Factor h + 42*h - 113*h + 2*h**2.
2*h*(h - 35)
Let m(w) be the third derivative of -w**6/240 + w**5/30 + w**4/48 - w**3/3 + 7*w**2 + 5. Factor m(x).
-(x - 4)*(x - 1)*(x + 1)/2
Let m(o) = -o**2 + 6*o + 14. Let l be m(7). Suppose -l + 1 = -3*q. Factor -7*s**2 + 3*s + 0*s**q + 10*s**2.
3*s*(s + 1)
Let t(k) = 11*k**3 + 101*k**2 + 280*k - 967. Let w(g) = -5*g**3 - 50*g**2 - 139*g + 484. Let p(o) = 2*t(o) + 5*w(o). Solve p(m) = 0.
-9, 2
Factor -6/5*x**3 + 3/5*x**4 + 0 - 3/5*x**2 + 6/5*x.
3*x*(x - 2)*(x - 1)*(x + 1)/5
Let n(z) = 4*z**2 + 229*z + 499. Let q be n(-55). Determine k so that -56/9*k**2 - 68/9*k**3 + 20/9*k**q + 32/9*k + 0 = 0.
-1, 0, 2/5, 4
Let 36/7*d**2 - 4/7*d**3 - 12 - 44/7*d = 0. What is d?
-1, 3, 7
Suppose 38*y + 18*y - 112 = 0. Factor 8/7 - 4*v - 16/7*v**y.
-4*(v + 2)*(4*v - 1)/7
Factor 16/7 + 4884/7*v**2 + 4356/7*v**3 + 544/7*v.
4*(v + 1)*(33*v + 2)**2/7
Factor -3*l + 60 + 89*l**3 + 84*l**3 - 170*l**3 - 60*l**2.
3*(l - 20)*(l - 1)*(l + 1)
Suppose 80/9*b + 1/9*b**2 + 1600/9 = 0. What is b?
-40
Suppose -3 = 3*z - 2*z. Let d = z + 9. Determine r so that d*r**4 + 3*r - 3*r**5 + 10*r**2 - 16*r**2 + 0*r**2 = 0.
-1, 0, 1
Suppose o = 3*o - 6. Let a(w) = -w**2 - w. Let s(n) = n. Let u(f) = o*a(f) - 3*s(f). Let u(y) = 0. Calculate y.
-2, 0
Let z(w) = w**3 + 10*w**2 + 17*w + 15. Let v be z(-8). Suppose -3*d + k = -13, -d + 0*k = -k - v. Factor f**2 - 7/3*f**4 - f**d + 2/3*f + 0 - f**5.
-f*(f + 1)**3*(3*f - 2)/3
Let 50/3*o**4 + 0*o**2 + 5/3*o**3 + 0*o + 0 + 125/3*o**5 = 0. Calculate o.
-1/5, 0
Let a = -115/11 - -241/22. Solve 1/2 - a*g**2 + 0*g = 0.
-1, 1
Let -6/7*i**3 + 54/7*i + 6/7*i**2 - 54/7 = 0. What is i?
-3, 1, 3
Let y = -26 + 71. Solve -2*g**2 + 30 - y + 21 - 4*g = 0.
-3, 1
Suppose -2*m = -3*z + 9, 0 = m - 4*m + 5*z - 16. Suppose m*n + 7 = p, -4*p - 5*n = -n - 12. Factor 15 + 10*y**3 - 42*y**p + 8*y**2 - 15.
-2*y**2*(3*y + 1)*(7*y - 4)
Let k = 219228/7 - 31316. Suppose 4/7*f**4 + k - 20/7*f**2 + 12/7*f**3 - 12/7*f = 0. Calculate f.
-4, -1, 1
Factor 7*j**2 - 1/2 - 13/2*j.
(j - 1)*(14*j + 1)/2
Determine q, given that -8/3*q**3 + 4*q - 4*q**4 - 4/3*q**5 + 4/3 + 8/3*q**2 = 0.
-1, 1
Let j(l) be the second derivative of 0 + 405/2*l**2 - 29*l - 15*l**3 + 5/12*l**4. Factor j(t).
5*(t - 9)**2
Let d(f) = -7*f**3 + 19*f**2 + 24*f - 44. Let r(w) = -19*w**3 + 56*w**2 + 74*w - 133. Let k(u) = 11*d(u) - 4*r(u). Factor k(j).
-(j - 1)*(j + 4)*(j + 12)
Let n(f) be the third derivative of -f**8/588 - 4*f**7/245 - 2*f**6/35 - 8*f**5/105 - 3*f**2 - 32*f. Factor n(k).
-4*k**2*(k + 2)**3/7
Factor -28/5*h**2 - 32/5 + 4/5*h**3 + 56/5*h.
4*(h - 4)*(h - 2)*(h - 1)/5
Suppose 4*v + 0 - 4 = 0. Suppose -2*r + 2*t + 10 = -0*t, r = -t - v. Factor 1/2*k**5 - 1/2*k - k**r + 0*k**3 + 0 + k**4.
k*(k - 1)*(k + 1)**3/2
Let v(z) be the second derivative of -z**7/189 - 56*z**6/135 - 121*z**5/15 + 812*z**4/27 - 841*z**3/27 + 187*z. Let v(y) = 0. What is y?
-29, 0, 1
Let f(i) = i**3 - 2*i**2 - 6*i + 1. Let h be f(-2). Let v be ((-3)/(-4))/(h/(-8)). Find w, given that -2/5*w + 2/5*w**v + 0 = 0.
0, 1
Let d(o) be the first derivative of 6 + 8/9*o**3 - 2/3*o**2 - 5/12*o**4 + 0*o + 1/15*o**5. Find m such that d(m) = 0.
0, 1, 2
Let m = 19 + -11. Suppose -3*j = -m + 2. Factor 8*v**5 + v**3 - 2 - 5*v**3 - 6*v**5 + 2*v + 4*v**2 - j*v**4.
2*(v - 1)**3*(v + 1)**2
Let c be 5 + (-216)/40 + 4/10. Let j(r) be the first derivative of c*r + 3/4*r**4 + 0*r**2 + 0*r**3 - 5. Factor j(k).
3*k**3
Suppose 5*k + 5 = 15. Suppose -s + k*s - 5 = 0. Solve -5*x**3 + x + 0*x + 0*x**s + x**5 + 3*x**3 = 0.
-1, 0, 1
Find x, given that 3/4*x + 21/4 - 3/4*x**3 - 21/4*x**2 = 0.
-7, -1, 1
Let a(i) = -206*i + 9685. Let y be a(47). Let 25/2*d + y - 9/2*d**2 = 0. Calculate d.
-2/9, 3
Let t(g) be the second derivative of -g**5/4 + 5*g**3/2 - 5*g**2 - 2*g - 23. Factor t(i).
-5*(i - 1)**2*(i + 2)
Solve 7/3 - 1/6*y**2 + 5/6*y = 0.
-2, 7
Let p(z) be the first derivative of 0*z + 0*z**4 - 1/8*z**2 - 1/6*z**3 + 1/10*z**5 - 4 + 1/24*z**6. Factor p(h).
h*(h - 1)*(h + 1)**3/4
Let b be (-2)/(-240)*