tor 8/7*i - a*i**3 - 8/7 + 2/7*i**2.
-2*(i - 2)*(i - 1)*(i + 2)/7
Let b = -7873 + 7873. Suppose 0*w**2 + 0*w + b - 3/2*w**3 = 0. Calculate w.
0
Let o = 9416/3 - 3138. Factor -o - 1/3*z**2 + z.
-(z - 2)*(z - 1)/3
Let m(n) be the second derivative of n**5/10 - n**4/3 - 13*n**3/3 - 10*n**2 - 48*n. Factor m(i).
2*(i - 5)*(i + 1)*(i + 2)
Factor -194/5*r - 96/5 - 20*r**2 - 2/5*r**3.
-2*(r + 1)**2*(r + 48)/5
Let k(m) = 6*m**4 - 15*m**3 + 21*m**2 - 30*m + 9. Let i(p) = -3*p**4 + 8*p**3 - 11*p**2 + 14*p - 4. Let t(z) = -9*i(z) - 4*k(z). Determine j so that t(j) = 0.
0, 1, 2
Let g = -80 + 35. Let q = -222/5 - g. Find x, given that -6/5 + q*x**2 - 3/5*x = 0.
-1, 2
Let x(u) be the third derivative of -1/360*u**5 + 1/18*u**3 - 13*u**2 + 1/144*u**4 + 0*u + 0. Determine a so that x(a) = 0.
-1, 2
Let h be (-585)/(-54)*9/5. Let 6*c**2 + 9/2 - h*c = 0. What is c?
1/4, 3
Let q(w) be the second derivative of -w**4/54 - w**3/3 + 10*w**2/9 - 254*w. Factor q(d).
-2*(d - 1)*(d + 10)/9
Suppose -18 + 0 = -6*h. Factor 4*l + 12*l**3 - 12*l**2 + 3*l**3 - 3*l**h - 4*l**4.
-4*l*(l - 1)**3
Let y(t) = 31*t**3 + 20*t**2 - 191*t - 202. Let d(i) = -6*i**3 - 4*i**2 + 38*i + 40. Let w(a) = -11*d(a) - 2*y(a). Find k, given that w(k) = 0.
-3, -1, 3
Suppose 4*u + 2 = 102. Factor -8*n**2 + u*n**4 - 35*n - 10 - 8*n**2 + 15*n**3 + 20*n**3 + n**2.
5*(n - 1)*(n + 1)**2*(5*n + 2)
Let x = 26/5 + -152/35. Factor -22/7*d - 4*d**2 - 12/7*d**3 + 2/7*d**5 + 2/7*d**4 - x.
2*(d - 3)*(d + 1)**4/7
Let o(a) be the second derivative of -a**8/1680 + a**6/45 - 7*a**4/12 + 8*a. Let x(f) be the third derivative of o(f). Factor x(w).
-4*w*(w - 2)*(w + 2)
Let b(c) be the third derivative of 0 + 0*c + 2/5*c**7 + 8/3*c**3 + 2*c**4 + 11*c**2 - 11/15*c**6 - c**5. What is z in b(z) = 0?
-2/3, -2/7, 1
Let d(b) = 14*b**2 + 36*b - 32. Let q(j) = 16*j**2 + 37*j - 32. Let p(g) = -7*d(g) + 6*q(g). Suppose p(f) = 0. What is f?
-16, 1
Suppose -49*w = -54*w + 20. Let s(j) be the third derivative of -2/3*j**3 + 1/12*j**w + 0 - 1/105*j**7 - 2*j**2 + 0*j + 1/10*j**5 - 1/60*j**6. Factor s(b).
-2*(b - 1)**2*(b + 1)*(b + 2)
Let n(x) be the third derivative of -x**6/288 - x**5/32 + 5*x**4/24 - x**3 + 7*x**2. Let w(u) be the first derivative of n(u). What is j in w(j) = 0?
-4, 1
Let d = 40 + -37. Factor 20*v**3 - 12*v**3 - 11*v**d.
-3*v**3
Let k(b) = 2*b**3 - 135*b**2 - 15*b - 10. Let i(h) = h**3 - 68*h**2 - 6*h - 4. Let g(n) = 5*i(n) - 2*k(n). Factor g(r).
r**2*(r - 70)
Let x(j) = -12*j**3 - 112*j**2 - 184*j + 8. Let k(c) = -4*c**3 - 38*c**2 - 61*c + 3. Let w(h) = -8*k(h) + 3*x(h). Determine m so that w(m) = 0.
-4, 0
Let t(r) = r**2 + 2*r - 13. Let m be t(4). Suppose 4 + d**2 + d**2 - 17*d + m*d = 0. What is d?
1, 2
Let u(k) be the third derivative of 2/9*k**3 + 0*k + 1/18*k**5 + 0 - 10*k**2 + 7/36*k**4. Factor u(v).
2*(v + 1)*(5*v + 2)/3
Let k(w) = 2*w + 16. Let n be k(-7). Factor 20*c**n - 16 - 8*c + 26*c - 10*c - 2*c**3 + 8*c**3.
2*(c + 2)**2*(3*c - 2)
Let n be ((-180)/(-40))/(15/10). Find u, given that 16/7 - 16/7*u + 4/7*u**n - 4/7*u**2 = 0.
-2, 1, 2
Suppose -74/13*u + 2/13*u**3 + 0 - 72/13*u**2 = 0. What is u?
-1, 0, 37
Let d(g) = 15*g**4 + 72*g**3 + 96*g**2 + 69*g + 12. Let i(u) = u**4 - u**3 + u**2 - 2*u + 1. Let l(w) = d(w) + 3*i(w). Let l(s) = 0. Calculate s.
-1, -5/6
Suppose 4*s = 5*w + 3, -5*w = -s - 4*w + 1. Let u be -5 - (s + -5 + -4). Determine r, given that -6/7*r + 0 + 3/7*r**3 + 3/7*r**u = 0.
-2, 0, 1
Let u(r) = 25*r**3 - 216*r**2 + 468*r - 154. Let h(d) = 150*d**3 - 1295*d**2 + 2810*d - 925. Let n(g) = -6*h(g) + 35*u(g). Factor n(j).
-5*(j - 4)**2*(5*j - 2)
Let 2/3*f**3 - 4*f**2 - 24*f + 144 = 0. What is f?
-6, 6
Let u(l) = -l**3 - 2*l**2 - 3*l - 4. Let o(w) = -4*w**3 - 7*w**2 - 11*w - 17. Let c = -2 + 0. Let i(q) = c*o(q) + 9*u(q). Factor i(f).
-(f + 1)**2*(f + 2)
Let w(t) be the third derivative of -3*t**5/20 + 215*t**4/8 + 36*t**3 + 301*t**2. Find g such that w(g) = 0.
-1/3, 72
Let y(t) be the second derivative of 2/5*t**5 + 8/3*t**3 + 13*t - 5/3*t**4 + 0 - 2*t**2. Factor y(o).
4*(o - 1)**2*(2*o - 1)
Let n = 3 + -7. Let u = n + 8. Factor -8 + 2*i + 4 + u*i - 2*i**3.
-2*(i - 1)**2*(i + 2)
Let k = -10045/3 - -3351. Suppose 2/3*g**3 + 16/3*g + 10/3*g**2 + k = 0. What is g?
-2, -1
Let i = -65 - -73. Determine r so that i*r**2 + 12*r**3 + 2*r + 4*r - 36*r**2 + 13*r**2 - 3*r**4 = 0.
0, 1, 2
Suppose -24 = 6*z + 2*z. Let j be 3 + 0 + 4 + 12/z. Let 0 - 2/5*k + 2/5*k**j + 1/5*k**2 - 1/5*k**4 = 0. What is k?
-1, 0, 1, 2
Suppose -500 + 507 = 4*a + 5*o, -2*a - 4*o = -2. Find z such that 0 + 0*z**4 + 1/2*z**5 + 1/2*z - z**a + 0*z**2 = 0.
-1, 0, 1
Let m(r) = -12*r**2 + 20*r + 128. Let v(x) = 14*x**2 - 21*x - 128. Let w(k) = -5*m(k) - 4*v(k). Suppose w(t) = 0. Calculate t.
-4, 8
Let b be 6416/64 - (-10)/(-8). Suppose -4*p + 360 = -36. Suppose -3*r**4 - 3*r**2 + 6*r**3 + p*r - b*r = 0. What is r?
0, 1
Let b(a) = a**2 + 1. Let r be b(2). Suppose 2*t = -5*f + 24, t - r*t - f = -12. Solve 6*o**4 + 5*o**5 + 6*o**3 + 4*o**2 - 3*o**5 - t*o**2 + 0*o**5 = 0 for o.
-1, 0
Let t(i) be the second derivative of -i**7/4 + 25*i**6/12 - 83*i**5/40 - 35*i**4/8 + 26*i**3/3 - 5*i**2 - 124*i. Solve t(r) = 0 for r.
-1, 2/7, 2/3, 1, 5
Factor -v**3 - 2*v**3 + 3*v**2 + 99*v + 9431 - 9242.
-3*(v - 7)*(v + 3)**2
Let u = 268198 - 76435807/285. Let l = u + -22/57. Solve -6/5*o**2 + 3/5*o - l*o**3 + 0 = 0.
-1, 0, 1/3
Let l(k) = k**3 + 5*k**2 - 2*k - 5. Let s be l(-5). Suppose 5*t**4 - 10*t**3 + 2*t - 11*t**5 + 16*t**5 - 10*t**2 + 5*t + s - 2*t = 0. Calculate t.
-1, 1
Let p(d) = -d**3 + 2*d**2 + d. Let n(m) = -5*m**3 + 5*m**2 + 22*m. Let a(h) = -n(h) + 4*p(h). Let a(z) = 0. What is z?
-6, 0, 3
What is v in -27*v**2 - 12*v - 53*v**4 + 5*v**2 - 12*v**3 - 46*v**4 + 97*v**4 = 0?
-3, -2, -1, 0
Suppose -m + 3*m = 12. Let a(t) be the second derivative of -1/6*t**3 + 0*t**2 + 0 - m*t + 1/3*t**4. Factor a(f).
f*(4*f - 1)
Let m(h) be the second derivative of 8*h**7/21 - 9*h**5 - 70*h**4/3 - 16*h**3 - 247*h. Determine c, given that m(c) = 0.
-2, -3/2, -1/2, 0, 4
Let w(i) be the second derivative of i**6/60 + 3*i**5/40 + i**4/12 - 98*i. Factor w(c).
c**2*(c + 1)*(c + 2)/2
Factor -75*d**2 + 5*d**3 + 135375*d - 1268*d**2 - 63491 - 2737360 - 1486024 - 82*d**2.
5*(d - 95)**3
Suppose -1 = v + 3*m - 9, 8 = 2*v + 2*m. Suppose -5*z - 14 = v*n, -2*z + 10 = -3*n + 27. Factor -x**5 - 4*x**2 + 6*x**5 + 0*x**2 - 7*x**3 + x**2 + 2*x + n*x**4.
x*(x - 1)*(x + 1)**2*(5*x - 2)
Let o = 23 - 20. Factor 3 - 2*d**3 - 96*d + o*d**2 + 125 + 21*d**2.
-2*(d - 4)**3
Suppose -1 - 3 = 4*q, -5*q = -5*z + 15. Find f, given that -3*f**z - 20 + 602*f - 620*f + 5 = 0.
-5, -1
Let o(l) be the first derivative of 5*l**3/12 - 415*l**2/8 - 105*l - 155. Factor o(g).
5*(g - 84)*(g + 1)/4
Let g = -19 - -23. Solve 3*t**3 - 5*t**3 - t + g + 5*t + 2*t = 0.
-1, 2
Let -27*v**3 + 2*v**3 - 288*v - 48*v**2 + 16*v**3 + 7*v**3 = 0. Calculate v.
-12, 0
Determine h, given that 7/2*h + 1/2*h**3 + 3*h**2 - 1/4*h**4 + 5/4 = 0.
-1, 5
Let f(n) be the second derivative of -n**3 + 2*n - 3/20*n**5 + 21/4*n**4 + 3/14*n**7 - 13/10*n**6 - 12*n**2 + 0. Find y such that f(y) = 0.
-1, -2/3, 1, 4
Suppose 25/6*d - 11/6*d**2 - 13/6 - 1/6*d**3 = 0. What is d?
-13, 1
Suppose 177 + 147 = 4*t. Suppose 5*c - 39 - t = 0. Factor 48*f**2 - 2*f**5 + 7*f**5 + c*f**4 - f**5 + 22*f - 6*f + 52*f**3.
4*f*(f + 1)**2*(f + 2)**2
Let l(p) be the first derivative of 0*p**5 - 1/2*p**4 - 5*p + 1/15*p**6 + 0*p**2 - 2 + 2/3*p**3. Let n(j) be the first derivative of l(j). Factor n(i).
2*i*(i - 1)**2*(i + 2)
Let l(b) be the third derivative of b**8/420 - 3*b**7/175 + b**6/300 + 13*b**5/150 - b**4/20 - 4*b**3/15 + 608*b**2. What is a in l(a) = 0?
-1, -1/2, 1, 4
Let y(r) be the third derivative of -r**10/37800 - r**9/9450 - r**8/8400 + 7*r**4/24 - 9*r**2. Let t(d) be the second derivative of y(d). Factor t(v).
-4*v**3*(v + 1)**2/5
Let k(z) be the first derivative of -5*z - 25/2*z**2 + 4*z**5 + 8 + 25/4*z**4 - 5*z**3. Factor k(y).
5*(y - 1)*(y + 1)**2*(4*y + 1)
Let z(d) be the third derivative of d**3 + 1/8*d**4 + 21*d**2 + 0*d - 1/40*d**6 + 0 - 1/10*d**5. Solve z(p) = 0.
-2, -1, 1
Let x = -4803 - -24037/5. Let -x*l**4 - 12/5*l**5 + 18/5*l**2 + 12/5*l**3 + 4/5*l + 0 = 0. Calculate l.
-2, -1/2, -1/3, 0, 1
Let n(t) = -t**2 + 8*t - 8. Suppose z = 9*z - 8. Let