**2 + 13*o**2 - 4*o + o**2.
o*(o - 4)
Suppose 0 = 4*i - 4*t + 12, 3*i - 2*t = -7*t - 1. Let w be i/(-12) - (-22)/12. Let w*o - o**3 - 3*o**3 + 2*o**5 + 0*o**3 = 0. Calculate o.
-1, 0, 1
Let l(p) be the second derivative of 27*p**7/119 - 39*p**6/85 + 4*p**5/17 - 2*p**4/51 + 11*p. Determine o, given that l(o) = 0.
0, 2/9, 1
What is i in 34 - 34 - 5*i**3 - 10*i**4 - 5*i**5 = 0?
-1, 0
Suppose -g + 2*z = 3*z - 4, 0 = 2*g - 2*z - 8. Factor 4 - 4*r**3 - 2*r**2 + 1 - 5 - 2*r**g.
-2*r**2*(r + 1)**2
Suppose -2*k = -3*z + 3*k - 19, -5*k = -4*z - 22. Let i be (0 + (z - -9))/2. Factor 2/5 + 2/5*s**4 + 0*s**i - 4/5*s**2 + 0*s.
2*(s - 1)**2*(s + 1)**2/5
Let h(g) be the first derivative of 4*g**3/3 + 12*g**2 + 36*g - 8. Determine m, given that h(m) = 0.
-3
Let 0 - 1 + 2 - 3 - 2*g**2 - 4*g = 0. What is g?
-1
Let j = -4/1925 + 577/92400. Let d(a) be the third derivative of -4*a**2 + j*a**5 + 1/24*a**4 + 1/6*a**3 + 0*a + 0. Let d(b) = 0. Calculate b.
-2
Let r(v) be the first derivative of v**5/50 - v**3/15 + 3*v + 2. Let d(k) be the first derivative of r(k). Let d(y) = 0. Calculate y.
-1, 0, 1
Let g(l) be the second derivative of -l**6/30 + l**5/10 + l**4/12 - l**3/3 + 2*l. Factor g(s).
-s*(s - 2)*(s - 1)*(s + 1)
Let u(l) be the third derivative of -l**5/90 - l**4/18 - 5*l**2. Factor u(c).
-2*c*(c + 2)/3
Factor -2/3*k**3 + 4/3 + 8/3*k**2 - 10/3*k.
-2*(k - 2)*(k - 1)**2/3
Let k(j) be the second derivative of -j**6/30 - j**5/5 - j**4/4 + 9*j. Factor k(g).
-g**2*(g + 1)*(g + 3)
Suppose -1 = q - 2. Suppose 2*n**3 + 1 + 2*n**4 - 2*n + q + 2*n**3 - 2*n**5 - 4*n**2 = 0. Calculate n.
-1, 1
Let v be 8/(-3)*15/(-20). Suppose f + 0*f = v. Factor -2/3*t**2 - 4/3 - f*t.
-2*(t + 1)*(t + 2)/3
Factor 2/19*k**3 + 12/19*k**2 + 16/19 - 30/19*k.
2*(k - 1)**2*(k + 8)/19
Let k(a) = a**2 + 8*a + 14. Let i be k(-6). Let t(y) be the first derivative of 8/7*y - 4/7*y**i + 2/21*y**3 - 2. Suppose t(l) = 0. What is l?
2
Factor -15/2*y**2 + 15/2*y - 5/2 + 5/2*y**3.
5*(y - 1)**3/2
Let r(v) be the second derivative of v**5/160 - 5*v**4/96 + v**3/6 - v**2/4 + 12*v. Factor r(b).
(b - 2)**2*(b - 1)/8
Let w(m) = m**3 - 4*m**2 - 3*m - 7. Let j be w(5). Determine x, given that 12*x**j - 6 + 6*x**2 - 7*x - 3*x**5 - 5*x + 3*x = 0.
-1, 1, 2
Let h(c) = 7*c**4 + 105*c**3 + 262*c**2 + 300*c + 128. Let m(d) = -2*d**4 - 35*d**3 - 87*d**2 - 100*d - 43. Let w(j) = -3*h(j) - 8*m(j). Factor w(y).
-5*(y + 1)*(y + 2)**3
Let d be 2842/441 - (-2 + 8). Determine b so that -2/9*b - d*b**2 - 2/9*b**3 + 0 = 0.
-1, 0
Let l(b) be the first derivative of -b**3/9 - b**2/2 - 2*b/3 - 7. Solve l(r) = 0.
-2, -1
Suppose 2*c = -2*c - 4*p + 8, -4*p = -8. Factor 1/2*h**3 + 1/2*h**4 + 0*h + c - h**2.
h**2*(h - 1)*(h + 2)/2
Suppose -21 = s - 23. Suppose 0*n + 4/3*n**3 - 1/3*n**4 - 4/3*n**5 + 0 + 1/3*n**s = 0. Calculate n.
-1, -1/4, 0, 1
Factor -8*w**2 + 0*w**4 - 13*w**3 - 14*w**4 - 19*w**3.
-2*w**2*(w + 2)*(7*w + 2)
Let h = 0 + 2. Find s, given that 3*s + 0*s + 2*s**2 + s**2 + 2*s**2 - h = 0.
-1, 2/5
Factor -29*c - 14*c**3 + 54*c**2 + 6 - 20*c**3 - 3*c**5 - 14*c**3 + 20*c**4.
-(c - 3)*(c - 1)**3*(3*c - 2)
Let u = 332/5 - 66. Factor 2/5*m**2 + u*m + 0.
2*m*(m + 1)/5
Suppose 4*w = w + 12. Let 2*s + w*s**2 + 0*s**3 - 10*s**4 - 2*s**5 + 6*s**4 + 0*s**3 = 0. Calculate s.
-1, 0, 1
Suppose 0 = 5*a - 19 - 1. Factor -4*x - 14*x**2 + 0 - 2*x**3 - a*x**3 - 2*x**3 + 2.
-2*(x + 1)**2*(4*x - 1)
Let a(m) = -m**2 - 8*m - 7. Suppose -7*h + 24 = -11*h. Let c be a(h). Factor -b + 1/2*b**c + 3/2*b**2 + 0 - 3/2*b**4 + 1/2*b**3.
b*(b - 2)*(b - 1)**2*(b + 1)/2
Let l = 10 - 2. Determine o, given that 10*o**3 + l*o**4 + o**2 - 2*o**2 + 3*o**2 = 0.
-1, -1/4, 0
Let u(z) be the first derivative of 1/3*z**2 - 1/10*z**5 + 7 + 2/9*z**3 - 5/24*z**4 + 0*z. Find q, given that u(q) = 0.
-2, -2/3, 0, 1
Let j be 1 - (-1 + 7/6). Let f = j - 1/3. Determine y, given that 0*y - f*y**2 + 0 = 0.
0
Let h(u) be the third derivative of u**10/60480 - u**9/10080 + u**8/4480 - u**7/5040 - u**4/12 - u**2. Let j(l) be the second derivative of h(l). Factor j(g).
g**2*(g - 1)**3/2
Suppose 4*r = -2*u - 16, -3*r - 15 = 5*u + 18. Let w(p) = p**3 + p - 1. Let q(f) = -4*f**3 - 6*f**2 - 8*f + 12. Let x(t) = u*w(t) - q(t). Factor x(d).
-2*(d - 3)*(d - 1)*(d + 1)
Let r(v) be the second derivative of -5*v**4/48 - 7*v**3/24 - v**2/4 - 6*v. Factor r(m).
-(m + 1)*(5*m + 2)/4
Find x such that -72/5*x + 147/5*x**3 - 63/5*x**2 - 12/5 = 0.
-2/7, 1
Let t(i) = -3*i + 6. Let d be t(4). Let y be d/27*6/(-4). Factor 0 - y*h**2 - 1/3*h.
-h*(h + 1)/3
Let b(c) be the second derivative of 0 + 1/2*c**3 + 1/2*c**4 + 0*c**2 + 0*c**5 - 4*c - 1/14*c**7 - 1/5*c**6. Factor b(n).
-3*n*(n - 1)*(n + 1)**3
Let i(w) be the first derivative of w**7/28 + 3*w**6/20 + 9*w**5/40 + w**4/8 + w + 2. Let h(u) be the first derivative of i(u). Factor h(p).
3*p**2*(p + 1)**3/2
Let n = 39 - 35. Determine i so that -12/5*i + 9/5*i**3 + 12/5*i**2 - 6/5*i**n + 0 - 3/5*i**5 = 0.
-2, 0, 1
Let l(f) be the second derivative of -f**7/315 + f**6/225 + f**5/150 - f**4/90 - 12*f. Find j, given that l(j) = 0.
-1, 0, 1
Suppose -5*h**5 + 4*h**4 - 3*h**2 + 3*h**2 + h**5 = 0. What is h?
0, 1
Let d(s) = -s**2 + s + 2. Let q be d(0). Let f(p) be the second derivative of -2/3*p**3 + q*p**2 - p + 1/12*p**4 + 0. Let f(k) = 0. What is k?
2
Find q such that -9684*q**3 + 9709*q**3 - 15*q**2 - 8*q**4 - 20*q**5 + 23*q**4 - 5*q = 0.
-1, -1/4, 0, 1
Suppose -5*b + 10*b = 0. Suppose b*d + 10 = 5*d. What is a in 1/3*a**d + 1/3*a**4 + 0 + 0*a - 2/3*a**3 = 0?
0, 1
Let k be (-2 - -2)/(-11 - -12). Factor 2/9 + k*j**3 + 0*j - 4/9*j**2 + 2/9*j**4.
2*(j - 1)**2*(j + 1)**2/9
Let f = -2/47 - -100/141. Suppose -5 = 4*r - 6*r - 3*s, 5*r - 18 = -2*s. Suppose 0 - 2/3*k**3 + f*k + 2/3*k**r - 2/3*k**2 = 0. Calculate k.
-1, 0, 1
Let c(b) be the third derivative of 2*b**2 + 0*b**4 + 0 + 1/60*b**5 + 0*b - 2/9*b**3 + 1/360*b**6. Factor c(q).
(q - 1)*(q + 2)**2/3
Suppose 4*q + 4*w - 4 = 0, -w = 3*q + 3*w + 1. Let k(d) be the first derivative of -1/2*d**2 - 1/6*d**6 + 1/2*d**4 - 1/5*d**q - d + 2/3*d**3 - 1. Factor k(r).
-(r - 1)**2*(r + 1)**3
Let 0 + 4*m**2 - 4/3*m**3 + 40/3*m = 0. What is m?
-2, 0, 5
Suppose s + 3*s = 0. Suppose -14 = -4*c - 6. Factor -q - 3*q**c - 13/4*q**3 - 1/4*q**5 + s - 3/2*q**4.
-q*(q + 1)**2*(q + 2)**2/4
Let w(v) be the first derivative of -v**4/8 + 5*v**3/6 - 24. Suppose w(h) = 0. Calculate h.
0, 5
Let f be (4 + 0 + 2)*24/48. Let u(x) be the second derivative of 1/18*x**f - 1/6*x**2 + 1/126*x**7 + 1/18*x**4 - 3*x - 1/90*x**6 - 1/30*x**5 + 0. Factor u(i).
(i - 1)**3*(i + 1)**2/3
Let j = -17 - -87/5. Factor -2/5*g + 0 + j*g**5 + 0*g**3 - 4/5*g**2 + 4/5*g**4.
2*g*(g - 1)*(g + 1)**3/5
Let j be -3 + 4 - (1 - 2). Suppose -j*l = l. Factor 0*g**3 + 2/3*g + l + 4/3*g**2 - 4/3*g**4 - 2/3*g**5.
-2*g*(g - 1)*(g + 1)**3/3
Let 0*x**3 - 4/9*x**4 + 0 + 4/9*x**2 + 2/9*x - 2/9*x**5 = 0. What is x?
-1, 0, 1
Let r = -5 - -9. Let u = -4 + r. Factor -c**2 + u - 1/2*c**3 - 1/2*c.
-c*(c + 1)**2/2
Let q(a) = -5*a**5 - 4*a**4 + 5*a**3 + 10*a**2 - 6. Let g(y) = 70*y**5 + 55*y**4 - 70*y**3 - 140*y**2 + 85. Let w(m) = -6*g(m) - 85*q(m). Factor w(p).
5*p**2*(p - 1)*(p + 1)*(p + 2)
Let n(z) be the third derivative of z**5/120 - z**4/24 + z**3/12 + 8*z**2. Factor n(f).
(f - 1)**2/2
Let g be 4/(1 - 9/6). Let b be (g + 4)/(0 - 1). What is j in 3*j**3 + 3*j**3 + 2*j**5 + 2*j**4 + 2*j**2 + 4*j**b = 0?
-1, 0
Let c be 35*(-1 - 0)*1. Let w = 317/9 + c. Factor -w - 8/9*d - 2/3*d**2.
-2*(d + 1)*(3*d + 1)/9
Suppose -1/2 + 0*c**2 - 1/4*c**3 + 3/4*c = 0. Calculate c.
-2, 1
Factor 8/3*i**2 - 2/3*i**3 - 2*i + 0.
-2*i*(i - 3)*(i - 1)/3
Let y = -13 - -21. Let u = 8 - y. Factor 0 + 0*d**3 + 0*d + 1/2*d**5 + 1/2*d**4 + u*d**2.
d**4*(d + 1)/2
Let p(l) be the third derivative of l**5/30 + 4*l**4/3 + 64*l**3/3 + 29*l**2. Suppose p(k) = 0. Calculate k.
-8
Factor 3/7*y**2 + 3/7*y + 0 - 3/7*y**3 - 3/7*y**4.
-3*y*(y - 1)*(y + 1)**2/7
Let a(b) be the third derivative of -1/33*b**4 - b**2 + 0 - 4/33*b**3 + 0*b - 1/330*b**5. Let a(x) = 0. Calculate x.
-2
Let v(a) be the third derivative of -a**6/160 - 3*a**5/80 + a**3/2 - a**2 + a. Factor v(j).
-3*(j - 1)*(j + 2)**2/4
Find t, given that 0 - 2/5*t**4 + 4/5*t**5 - 2/5*t**3 + 0*t**2 + 0*t = 0.
-1/2, 0, 1
Suppose -18 = 5*j - 2*j. Let l(p) = -p - 6. Let n be l(j). Sup