pose -12 = -b - 3*b. Suppose -z = b*z. Find m such that -2*m**3 + z*m**3 - 4*m**4 + 2*m**4 = 0.
-1, 0
Let i(g) be the third derivative of 0 + 0*g - 3*g**2 + 1/6*g**3 - 1/120*g**5 - 1/48*g**4. Solve i(t) = 0.
-2, 1
Let k(s) = -s**3 + 7*s**2 + 4*s. Let q be -1*(-4 + 6/3). Let w(u) = u**3 - 3*u**2 - 2*u. Let z(p) = q*k(p) + 5*w(p). Factor z(l).
l*(l - 1)*(3*l + 2)
Suppose -5*m - k + 3*k - 186 = 0, 6 = 2*k. Let n be (-6)/8 - 81/m. Determine p so that 1/2*p + 1/2*p**4 + 0 + 3/2*p**3 + n*p**2 = 0.
-1, 0
Let k = 3 - 12. Let c be (3/k)/((-3)/6). Suppose 0*u**3 + 2/3*u**4 + 0 - c*u**2 + 0*u = 0. What is u?
-1, 0, 1
Let l(i) = 3*i**3 - 15*i + 9. Let m(j) = -6*j**3 + j**2 + 29*j - 19. Let d(q) = 5*l(q) + 3*m(q). Suppose d(w) = 0. What is w?
-2, 1, 2
Let l(y) be the second derivative of -1/8*y**4 + 1/8*y**3 + 2*y + 0*y**2 + 1/20*y**6 + 0*y**5 + 0 - 1/56*y**7. Find b, given that l(b) = 0.
-1, 0, 1
Let d be 0 + (3/1 - 0). Let -y**d - 7*y + 4*y**4 + 4*y - 7*y**4 + 3*y**2 + 4*y**3 = 0. What is y?
-1, 0, 1
Let x(g) be the first derivative of g**4/22 - 2*g**3/11 - 4*g**2/11 - 20. Find f, given that x(f) = 0.
-1, 0, 4
Factor 2/3*x**3 - 16/3*x - 2/3*x**2 + 8.
2*(x - 2)**2*(x + 3)/3
Let x(p) be the third derivative of p**7/210 + 7*p**6/90 + p**5/2 + 3*p**4/2 + 3*p**3/2 + 38*p**2. Factor x(s).
(s + 3)**3*(3*s + 1)/3
Let x(i) be the second derivative of i**7/135 - i**6/60 - i**5/54 + i**4/12 - 2*i**3/27 + 2*i**2 + i. Let b(c) be the first derivative of x(c). Solve b(a) = 0.
-1, 2/7, 1
Let i be 1*((-3 - -5) + 2). Suppose -7 = i*s - j - 2*j, -2*j = -s - 8. Factor x**2 - 4 + x**2 - x + x**3 + s + 0*x**3.
(x - 1)*(x + 1)*(x + 2)
Let w(z) be the first derivative of z**4/2 - 2*z**3 + 3*z**2 - 2*z - 20. Determine f, given that w(f) = 0.
1
Let m = 5 - 10. Let l be ((-6)/m)/(4/10). Factor 2*c**4 - 4*c**l + 0*c**3 + 2*c**3.
2*c**3*(c - 1)
Let v(t) = -t**3 - t. Let g(u) = -u**3 + u**2 + u. Suppose 4*x = 1 + 7. Suppose 0 = 2*q + x. Let c(f) = q*g(f) - v(f). Factor c(n).
n**2*(2*n - 1)
Suppose 2/5*o - 3/5*o**2 + 1/5*o**3 + 0 = 0. Calculate o.
0, 1, 2
Let h(g) be the second derivative of g**7/63 - 2*g**6/15 + 13*g**5/30 - 2*g**4/3 + 4*g**3/9 + 12*g - 1. Factor h(u).
2*u*(u - 2)**2*(u - 1)**2/3
Let k be (14/(-42))/(-1 - 0/(-2)). Solve 0*v + k*v**2 + 0 = 0 for v.
0
Let h(u) be the first derivative of -u**5/10 - 3*u**4/2 - 8*u**3 - 20*u**2 - 24*u + 53. Let h(v) = 0. What is v?
-6, -2
Let c(k) be the third derivative of 2/27*k**3 + 0*k - 1/108*k**4 + 1/540*k**6 - k**2 + 0 + 1/945*k**7 - 1/90*k**5. Determine j, given that c(j) = 0.
-2, -1, 1
Suppose 0 = -13*g + 16*g - 12. Factor -2*r + 4*r**5 - g*r**3 - r + 3*r.
4*r**3*(r - 1)*(r + 1)
Let b(a) be the third derivative of 1/120*a**6 - 1/24*a**4 + 3*a**2 - 1/60*a**5 + 0*a**3 + 0 + 1/210*a**7 + 0*a. Factor b(s).
s*(s - 1)*(s + 1)**2
Let q = -5 - -9. Factor 3*t**3 - 2*t - 2*t**3 + q*t**2 - 3*t**3.
-2*t*(t - 1)**2
Let u(s) be the first derivative of s**6/540 - s**5/30 + s**4/4 + 4*s**3/3 + 2. Let c(j) be the third derivative of u(j). Suppose c(x) = 0. What is x?
3
Let n be ((-25)/(-10))/((-2 - -3)/2). Find c, given that -1/4*c**n + 0*c + 1/4*c**4 + 0 + 1/4*c**3 - 1/4*c**2 = 0.
-1, 0, 1
Let b be (-15)/(-6)*3/5. Suppose -14*l + 6 = -22. What is a in 1/2 + 1/2*a**3 + b*a + 3/2*a**l = 0?
-1
Find v, given that 21/5 + 3/5*v**3 - 21/5*v**2 - 3/5*v = 0.
-1, 1, 7
Suppose -4*y + 3 = -5. Let u be (-129)/(-9) + y/6. What is v in -2/3 + 16*v**3 + 16/3*v - u*v**2 - 6*v**4 = 0?
1/3, 1
Let a be 0/(-1) - -3 - 0. Factor 2*s + 2*s**3 - 3*s**3 + 2 - 2*s**2 + 4*s**a - 5*s**3.
-2*(s - 1)*(s + 1)**2
Solve 23 + 14 + 4*k**2 + 16*k - 39 + 18 = 0 for k.
-2
Let m(h) = -2*h**2 - 6*h - 8. Let d(n) = -3*n**2 - 11*n - 15. Let s(x) = -4*d(x) + 7*m(x). Determine f so that s(f) = 0.
-1, 2
Determine n so that 1/4*n**2 + 0 + 3/4*n = 0.
-3, 0
Let v(r) be the third derivative of r**7/1260 - r**4/12 - r**2. Let n(m) be the second derivative of v(m). Find z, given that n(z) = 0.
0
Let p = 76 - 75. Let c(j) be the first derivative of 3/10*j**2 - 3/25*j**5 + 1/5*j**3 + 0*j - p - 3/20*j**4. Factor c(s).
-3*s*(s - 1)*(s + 1)**2/5
Let y(a) be the first derivative of 0*a**2 + 4 + 0*a + 3/4*a**4 + 3*a**3. Factor y(n).
3*n**2*(n + 3)
Let b(k) be the second derivative of -3/40*k**5 + 1/20*k**6 - 1/8*k**4 + 0 + 1/4*k**3 + 3*k + 0*k**2. Factor b(h).
3*h*(h - 1)**2*(h + 1)/2
Suppose -s + 5*r + 5 = 4*s, -s = -5*r + 7. Suppose 0*f**4 + 2*f**2 + 0*f**s + 4*f**3 + f**4 + f**4 = 0. Calculate f.
-1, 0
Let i(w) be the second derivative of -w**7/189 + w**6/27 - 7*w**5/90 - w**4/54 + 8*w**3/27 - 4*w**2/9 - w. Suppose i(u) = 0. What is u?
-1, 1, 2
Let p(h) be the third derivative of -1/10*h**5 + 0 + 0*h - 1/6*h**3 - 3*h**2 + 1/6*h**4 + 1/30*h**6 - 1/210*h**7. Factor p(j).
-(j - 1)**4
Let a(w) be the first derivative of -2 - 1/6*w**3 + 2*w + 0*w**2 - 1/20*w**5 + 1/6*w**4. Let x(u) be the first derivative of a(u). Factor x(z).
-z*(z - 1)**2
Let r = 220415/7 - 31413. Let s = r - 2284/35. Let -32/5*t**5 - 2/5*t**3 - 12/5*t**2 + 0 + s*t**4 - 2/5*t = 0. Calculate t.
-1/4, 0, 1
Let f(a) be the first derivative of -5*a**3/3 - 25*a**2/2 - 20*a + 15. Let f(h) = 0. What is h?
-4, -1
Let u be 24/9 - 0/(-9 + 4). Factor 16/3*p**2 + 2/3 - 10/3*p - u*p**3.
-2*(p - 1)*(2*p - 1)**2/3
Let z(q) be the first derivative of 3*q**4/4 - q**3/3 - q**2 + 5. Factor z(s).
s*(s - 1)*(3*s + 2)
Suppose -i = -4*d + 12, -2*d + 2*i = -0*i - 6. Solve -2*k**5 + 6*k**2 - k**5 - 2 + 6*k**d - 2 + 1 - 3*k**4 - 3*k = 0.
-1, 1
Let t = -29 + 437/15. Let b(k) be the first derivative of 1 - 2/3*k**2 + 1/3*k**4 + t*k**5 - 2/9*k**3 + 0*k. Determine z, given that b(z) = 0.
-2, -1, 0, 1
Let d(l) be the second derivative of -l**5/10 - l**4/3 - l**3/3 + 12*l. Solve d(o) = 0.
-1, 0
Let x = 61 + -59. Suppose 0 + 1/6*r**x - 1/6*r = 0. Calculate r.
0, 1
Let g(d) be the third derivative of 0*d + 0 + 1/15*d**3 - 1/20*d**4 - 2/75*d**5 + 4*d**2. Find u such that g(u) = 0.
-1, 1/4
Suppose 3*o - 4*o - 5 = 0. Let i = 7 + o. Let -10*n**4 + 4*n + 0*n**2 + n**2 - 3*n**i - 16*n**3 = 0. Calculate n.
-1, 0, 2/5
Let r(t) = -t + t**2 - 3*t**2 - 3*t - 2*t**2 - t**3 + 1. Let h be r(-3). Factor 2*k**4 + 4*k - 2 - h*k**3 + k**3 - k**3.
2*(k - 1)**3*(k + 1)
Factor 4*h**5 - 4 + 49*h**2 - 17*h**2 - 28*h + 6 + 6 - 8*h**3 - 8*h**4.
4*(h - 1)**4*(h + 2)
Let d = 391 - 41054/105. Let l(k) be the third derivative of 1/21*k**3 - d*k**5 + 1/84*k**4 + 0*k + 0 - k**2. Determine p so that l(p) = 0.
-1/2, 1
Let k be 21/20 - 4/5. Let b(m) be the first derivative of 1/8*m**4 - 1 - k*m**2 + 0*m + 0*m**3. Suppose b(a) = 0. What is a?
-1, 0, 1
Factor 9/5*p**2 - 3/5*p + 0 + 3/5*p**4 - 9/5*p**3.
3*p*(p - 1)**3/5
Let q be (3/(-9))/(7/(-7)). Let w = -13 - -40/3. Factor -q*v + w*v**3 + 0 + 0*v**2.
v*(v - 1)*(v + 1)/3
Let d = -8 + 12. Suppose -16 = 2*m + 5*j, 8 = -5*m - d*j + 2. Factor 1/3*q**m - 1/3*q + 0.
q*(q - 1)/3
Determine n, given that 12/7*n**3 - 20/7*n**4 - 8/7 + 4*n**2 - 12/7*n = 0.
-1, -2/5, 1
Let j be (4 - 2)/(2/3). Let i = 638 + -638. Factor 0*w + 2/7*w**5 - 2/7*w**j + i + 2/7*w**4 - 2/7*w**2.
2*w**2*(w - 1)*(w + 1)**2/7
Factor -6/5*v**2 - 2/5*v**4 + 0 + 0*v + 8/5*v**3.
-2*v**2*(v - 3)*(v - 1)/5
Let x(h) = -h**5 + h**4 + h**2 - h + 1. Let g(l) = 7*l**5 - 6*l**4 - l**3 - 4*l**2 + 4*l - 4. Let t(a) = -3*g(a) - 12*x(a). Suppose t(y) = 0. Calculate y.
-1/3, 0, 1
Let w = 127 + -127. Let a(l) be the third derivative of -1/360*l**6 + 0*l**3 - 1/36*l**4 - 1/60*l**5 + 0 - 3*l**2 + w*l. Factor a(k).
-k*(k + 1)*(k + 2)/3
Factor -8488*l**2 - 3*l**4 + l**5 + 2*l**3 + 8488*l**2.
l**3*(l - 2)*(l - 1)
Let f(x) = -9*x**3 + 42*x**2 - 33*x + 6. Let j(a) = -10*a**3 + 41*a**2 - 32*a + 6. Let u(b) = -5*f(b) + 6*j(b). Let u(d) = 0. What is d?
2/5, 1
Let n be ((-4)/1656)/(4/(-5574)). Let h = n - 3/92. Factor -2/3 + 20/3*g**3 + h*g - 20/3*g**2 + 2/3*g**5 - 10/3*g**4.
2*(g - 1)**5/3
Let n(w) = w + 8. Let m be n(-8). Let k(c) be the third derivative of 0*c**3 + m*c**5 + 0*c**4 + 0*c + 0 - 1/420*c**6 + 2*c**2. Factor k(o).
-2*o**3/7
Suppose -2*c = 2*c - 112. Let r be (0 - c/12) + 3. Factor r*w**2 + 2/3 + 4/3*w.
2*(w + 1)**2/3
Let v(l) be the third derivative of l**6/60 - l**5 + 25*l**4 - 1000*l**3/3 + 50*l**2. Factor v(x).
2*(x - 10)**3
Let x(t) be the first derivative of -t**5/30 - t**4/6 - t**3/3 + t**2 - 1. 