 8/3 = 0.
-1, 1, 4
Let p(k) = -3*k**2 + k**2 - 6*k - 4 + k**2. Let g be p(-4). Solve 0*b**2 + 4*b**g + 1 - 3*b**4 - 2*b**2 = 0.
-1, 1
Factor -2/5*m**4 + 2/5*m**2 + 2/5*m**3 - 2/5*m**5 + 0 + 0*m.
-2*m**2*(m - 1)*(m + 1)**2/5
Let l = 15 - 15. Let q be (18/(-8))/(-9) - l. Find t such that q*t**2 + 9/4 - 3/2*t = 0.
3
Find s such that 4*s**3 + 10*s**2 + 5*s**3 + 5*s**5 + 17*s**3 - s**3 + 20*s**4 = 0.
-2, -1, 0
Let c(q) = -q**3 + 12*q**2 + 19*q + 2. Let x(v) = -v**3 + v - 1. Let w(t) = -c(t) + 4*x(t). Let w(m) = 0. What is m?
-2, -1
Let w = -91 + 94. Factor -19/4*r**w - 1/4*r + 7/4*r**4 - 1/2 + 15/4*r**2.
(r - 1)**3*(7*r + 2)/4
Let c = 41 + -41. Let u(v) be the first derivative of 1/30*v**6 + 0*v + 0*v**3 + c*v**4 + 1 + 0*v**2 - 1/25*v**5. Factor u(p).
p**4*(p - 1)/5
Suppose -4*i = -3*x - 681, -x + 4*i = 27 + 192. Let n be 11/x - 1/(-3). Factor -n*o**5 + 6/7*o + 2/7 - 4/7*o**3 - 6/7*o**4 + 4/7*o**2.
-2*(o - 1)*(o + 1)**4/7
Let s(n) be the first derivative of 3*n**4/16 - n**3/4 - 3*n**2/4 - 2. Suppose s(h) = 0. What is h?
-1, 0, 2
Let m = 8 + -2. Find l such that -2*l**3 - 3*l**2 - 9*l**5 + m*l**4 - l**3 + 9*l**4 = 0.
-1/3, 0, 1
Solve -2/5*p + 4/5 - 2/5*p**2 = 0.
-2, 1
Let z = -1/71 - -1919/142. Let a = -3 + 7. Let z*f**3 - 27*f**a + 81/4*f**5 - 3*f**2 + 1/4*f + 0 = 0. Calculate f.
0, 1/3
Let k(b) = b**2 + 7*b. Let z be k(-7). Suppose 5 = 5*m, 0 = -a - z*a + 5*m - 3. What is g in -3*g + 9*g**2 - 2*g - 6*g + a = 0?
2/9, 1
Suppose 2*a - 12 = -q + 6*a, 0 = -4*q + 4*a + 24. Find l such that l**3 + 9*l**4 - 7*l**q + 3*l**2 - 4*l - 5*l**2 + 3*l**3 = 0.
-2, -1, 0, 1
Let w(z) be the third derivative of z**6/780 + z**5/195 - z**4/156 - 2*z**3/39 + 29*z**2. What is q in w(q) = 0?
-2, -1, 1
Let d(u) be the third derivative of -u**9/18144 + u**7/5040 - u**3/3 + 4*u**2. Let j(q) be the first derivative of d(q). Find y, given that j(y) = 0.
-1, 0, 1
Let 24 + 5*t**2 - 2*t**2 - 4*t - 4*t - 10*t = 0. Calculate t.
2, 4
Let g be 7/1 + -8 + 5. Solve 2*a**4 - 2*a**2 - 10*a**4 - 2*a - g*a**3 + 7*a**4 - 3*a**2 = 0.
-2, -1, 0
Suppose -4 + 28 = 8*n. Let y(f) be the third derivative of 1/336*f**8 + 0 + 1/12*f**5 - 1/40*f**6 - 1/12*f**4 + 0*f - 1/210*f**7 - 3*f**2 + 0*f**n. Factor y(j).
j*(j - 1)**3*(j + 2)
Suppose -11*k = -5*k - 18. Let i(u) be the third derivative of 1/90*u**5 + 0 + 1/36*u**4 + 1/540*u**6 + 0*u - k*u**2 + 1/27*u**3. Factor i(w).
2*(w + 1)**3/9
Let u(x) be the first derivative of 0*x**2 - 1/30*x**4 + 1/15*x**3 - 1 - 2*x. Let v(q) be the first derivative of u(q). Factor v(j).
-2*j*(j - 1)/5
Let s(y) = -y**3 - 10*y**2 + 25*y + 15. Let d be s(-12). Suppose 1/2*z**d + z**2 - z**4 - 1/2*z + 0 = 0. Calculate z.
-1, 0, 1/2, 1
Let c(y) be the third derivative of 0*y**3 - 1/18*y**4 - 1/45*y**6 + 1/18*y**5 + 0*y + 1/315*y**7 + 3*y**2 + 0. Factor c(k).
2*k*(k - 2)*(k - 1)**2/3
Let g(v) be the first derivative of -v**7/630 + v**6/180 - v**5/180 + v**2/2 - 2. Let o(l) be the second derivative of g(l). Solve o(u) = 0.
0, 1
Let d(o) be the first derivative of o**3/9 - 10*o**2/3 + 100*o/3 - 43. Determine y so that d(y) = 0.
10
Suppose 24 - 3 = 3*v - 5*j, 4*v + 2*j = 2. Factor 0*a + 0*a**2 + 2*a**2 + a - 3*a**v.
-a*(a - 1)
Suppose 12 = 2*v + 2*v + 2*s, 5*v = 3*s + 15. Factor 1/2*h**4 + 0 + 1/2*h**v - 1/2*h**2 - 1/2*h.
h*(h - 1)*(h + 1)**2/2
Let c(s) be the first derivative of -2/9*s**2 + 2/27*s**3 - 2 + 0*s. Factor c(m).
2*m*(m - 2)/9
Let v(i) be the second derivative of i**4/6 + 2*i**3/3 + 3*i**2/2 + 2*i. Let f be v(-2). Factor 0 - 2*n + f*n**2 - 4*n**2 - 1.
-(n + 1)**2
Factor -3*q**3 - 3*q - 9/2*q**2 - 3/4*q**4 - 3/4.
-3*(q + 1)**4/4
Let s(m) be the third derivative of -1/6*m**4 + 1/30*m**6 + 1/15*m**5 + 0*m + 0*m**3 - 9*m**2 + 0 - 2/105*m**7. Suppose s(w) = 0. Calculate w.
-1, 0, 1
Let u be 3/(-3) + 39/(-3). Let b = 14 + u. Factor -2/5*w**2 - 16/5*w**3 + 0 + b*w - 32/5*w**4.
-2*w**2*(4*w + 1)**2/5
Suppose 3*t + t + 2*g - 4 = 0, 5 = 3*t + g. Find n such that n**t - 2*n**3 - n**2 + 2*n**2 = 0.
0, 1
Let q(p) = p**5 + 17*p**4 + 29*p**3 + 16*p**2 + 3*p - 3. Let t(u) = 2*u**5 + 18*u**4 + 30*u**3 + 16*u**2 + 2*u - 2. Let g(c) = 2*q(c) - 3*t(c). Factor g(j).
-4*j**2*(j + 1)*(j + 2)**2
Let i(w) be the first derivative of -w**6/39 - 6*w**5/65 - w**4/13 + 4*w**3/39 + 3*w**2/13 + 2*w/13 + 24. Determine c so that i(c) = 0.
-1, 1
Let q(i) be the first derivative of -i**5/5 - 5*i**4/6 + 4*i**3/3 - 2*i**2 - 3. Let b(a) be the second derivative of q(a). Find s such that b(s) = 0.
-2, 1/3
Let o(v) be the third derivative of -v**7/210 + v**6/120 + v**5/30 + 10*v**2. Determine m so that o(m) = 0.
-1, 0, 2
Let g(a) = -a + 19. Let j be g(15). Let k(z) be the second derivative of 1/6*z**j + 0 + 2*z - 2/3*z**3 + z**2. Factor k(b).
2*(b - 1)**2
Let c(d) be the second derivative of -d**6/40 - d**5/20 - 2*d**2 + d. Let q(o) be the first derivative of c(o). Factor q(k).
-3*k**2*(k + 1)
Let n = 23/80 + -3/80. Factor 3/4*f**2 + n*f + 3/4*f**3 + 1/4*f**4 + 0.
f*(f + 1)**3/4
Let b(c) = -c**2 - 8*c. Let y be b(-8). Suppose -3/2*z**5 + 3/2*z**3 + 0*z**4 + 0*z + y + 0*z**2 = 0. Calculate z.
-1, 0, 1
Let m(c) be the second derivative of c**5/10 - c**4/6 - 2*c**3/3 - 12*c. What is g in m(g) = 0?
-1, 0, 2
Solve -1/3*y**2 + 0*y + 0 + 1/3*y**3 = 0.
0, 1
Factor -1 + 1/2*t**4 - 3/2*t**2 + 1/2*t**3 - 5/2*t.
(t - 2)*(t + 1)**3/2
Let x(i) be the first derivative of -7*i**4 + 8*i**3/3 + 14*i**2 - 8*i + 11. Find c, given that x(c) = 0.
-1, 2/7, 1
Let v be (-15)/6*(-8)/50. Suppose -10 = -u - 10. Factor u*j + 0*j**2 + 0 - v*j**4 + 2/5*j**3.
-2*j**3*(j - 1)/5
Let j(a) be the third derivative of 0*a**3 - 1/60*a**5 - 3*a**2 + 0*a**4 + 0 + 0*a - 1/210*a**7 - 1/60*a**6. Determine z so that j(z) = 0.
-1, 0
Determine w so that 1/4*w**3 + 1/2*w - 3/4*w**2 + 0 = 0.
0, 1, 2
Factor -6*t**3 + 0*t**3 - 2*t**2 + 0*t + 4*t.
-2*t*(t + 1)*(3*t - 2)
Solve -4/3*o**2 + 2*o + 2*o**4 - 4/3*o**3 - 2/3 - 2/3*o**5 = 0.
-1, 1
Let h(y) be the first derivative of 0*y**3 - 4 - 3/11*y**2 + 1/22*y**4 - 4/11*y. Factor h(o).
2*(o - 2)*(o + 1)**2/11
Let d(j) be the first derivative of -j**5/20 + j**4/4 - 2*j**2 + 6. Let v(n) be the second derivative of d(n). Determine l, given that v(l) = 0.
0, 2
Let l(b) be the third derivative of b**7/210 - b**6/30 + b**5/15 - 4*b**2. Factor l(g).
g**2*(g - 2)**2
Let h(d) be the third derivative of -d**5/135 + 5*d**4/54 - 39*d**2. Factor h(u).
-4*u*(u - 5)/9
Let q(u) = -u**3 + 7*u**2 - u + 6. Let k be q(7). Let s be k/(-5) + 26/70. Factor s*m**2 - 10/7*m**4 + 6/7*m**3 + 0 + 0*m.
-2*m**2*(m - 1)*(5*m + 2)/7
Suppose -t + 1 = 5*q - 2*t, t = -1. Determine f, given that q*f**2 - 4/7*f**4 - 2/7*f**5 + 0*f**3 + 0 + 0*f = 0.
-2, 0
Let x(u) = -31*u**3 - 83*u**2 + 7*u + 83. Let f(y) = -11*y**3 - 28*y**2 + 2*y + 28. Let n(v) = 8*f(v) - 3*x(v). Find l such that n(l) = 0.
-5, -1, 1
Factor 3/4*g**2 + 0 + 3/8*g**3 + 3/8*g.
3*g*(g + 1)**2/8
Let w(h) be the third derivative of h**6/6 + h**5/5 - 2*h**4 + 8*h**3/3 - 5*h**2. Suppose w(c) = 0. What is c?
-2, 2/5, 1
Let y(k) be the second derivative of 0 - 1/3*k**2 - 1/60*k**5 - 5/18*k**3 - 1/9*k**4 - k. Factor y(m).
-(m + 1)**2*(m + 2)/3
Suppose 5*b = -4*b + 36. Find j such that 0*j + 2/3*j**2 + 4/3*j**3 + 0 + 2/3*j**b = 0.
-1, 0
Let u(k) be the third derivative of k**7/735 + k**6/420 - k**5/35 - k**4/21 + 8*k**3/21 + 56*k**2. Factor u(x).
2*(x - 2)*(x - 1)*(x + 2)**2/7
Let b(a) = -8*a**2 - 48*a + 73. Let v(n) = -n**2 - 6*n + 9. Let x(d) = -6*b(d) + 51*v(d). Factor x(g).
-3*(g - 1)*(g + 7)
Let k(a) be the second derivative of a**5/160 + a**4/48 - 4*a. Find r such that k(r) = 0.
-2, 0
Let b be 1 - -1 - (-2)/1. Suppose -h + 15 = b*h. Factor 9/2*d**2 + h*d + 1/2.
(3*d + 1)**2/2
Let k = 5 - 3. Suppose 5*s = k*s. Suppose -2/3*u**5 + 0 - 2/3*u**2 + 2/3*u**3 + s*u + 2/3*u**4 = 0. What is u?
-1, 0, 1
Let w(q) be the second derivative of 0*q**6 + 0*q**4 + 1/3*q**3 + 0*q**2 + 1/21*q**7 + 0 - 1/5*q**5 - q. Determine m so that w(m) = 0.
-1, 0, 1
Suppose 6 = 2*d + 2. Factor -2/7*w - 2/7*w**4 - 6/7*w**d + 0 - 6/7*w**3.
-2*w*(w + 1)**3/7
Let l be 4/14 - ((-4)/2 - -2). Factor -2/7*a**2 + 0*a + l.
-2*(a - 1)*(a + 1)/7
Let l = 120742 - 2174365/18. Let w = -331/6 - l. What is p in w*p**2 + 2/9*p**5 + 8/9*p**4 + 0 + 4/3*p**3 + 2/9*p = 0?
-1, 0
Let p(j) be the second derivative of -j**4/42 + j**3/21 + 5*j