132*h**4. Suppose t(p) = 0. Calculate p.
0, 1
Let v(r) = -2*r**4 - 30*r**3 - 60*r**2 - 43*r - 3. Let n(c) = -5*c**4 - 60*c**3 - 120*c**2 - 85*c - 5. Let m(z) = 3*n(z) - 5*v(z). Solve m(i) = 0 for i.
-2, 0
Let p(g) be the third derivative of -g**7/2100 + g**6/900 + g**5/150 - g**3/2 - g**2. Let k(y) be the first derivative of p(y). Factor k(d).
-2*d*(d - 2)*(d + 1)/5
Let d be 93/42 - 4/((-24)/(-9)). Determine v, given that -1/7*v**4 - v - 2/7 - 9/7*v**2 - d*v**3 = 0.
-2, -1
Let a(b) = -b - 1. Let c be a(-5). Factor 0*x**5 + x**5 - 4*x**c - 6*x**3 - 4*x**2 - 2*x**5 - x.
-x*(x + 1)**4
Factor -3*p**2 - 1 + 5 - 19*p + 11*p**2 + p.
2*(p - 2)*(4*p - 1)
Let m be 0/(5 - 4)*(-2)/(-10). Find z such that m*z - 4/7*z**2 + 0*z**3 + 2/7*z**4 + 2/7 = 0.
-1, 1
Factor -6*p**3 + p**2 - 4*p**2 - 2*p**5 + 16*p**4 + p**2 - 22*p**4.
-2*p**2*(p + 1)**3
Suppose -18 = 2*j - 22. Let p(k) be the first derivative of 1/6*k**3 + 0*k - 2 + 0*k**j. Let p(h) = 0. What is h?
0
Let s = 11 + -10. Let g be s*-1 + (-12)/(-4). What is k in 2*k**3 - 4/3*k - 4/3 - 3*k**4 + 11/3*k**g = 0?
-2/3, 1
Let m(g) be the third derivative of 0 - 1/150*g**6 + 3*g**2 + 0*g**4 + 1/150*g**5 + 1/525*g**7 + 0*g + 0*g**3. Find n such that m(n) = 0.
0, 1
Let i(k) be the first derivative of k**8/672 - k**6/240 + k**2/2 - 3. Let w(h) be the second derivative of i(h). Factor w(x).
x**3*(x - 1)*(x + 1)/2
Let s = 116 + -577/5. Factor -s*d**2 - 6/5*d - 3/5.
-3*(d + 1)**2/5
Let c = 3/131 - 8137/655. Let o = 66/5 + c. Factor -o*b**2 + 0 - 2/5*b**3 - 2/5*b.
-2*b*(b + 1)**2/5
Factor -4/9*s**2 + 4/9 + 2/9*s**3 - 2/9*s.
2*(s - 2)*(s - 1)*(s + 1)/9
Factor 26/3*w**3 - 4*w**4 + 2/3*w**5 - 8*w**2 + 8/3*w + 0.
2*w*(w - 2)**2*(w - 1)**2/3
Let w = 1 + 2. Solve c - c - c**2 + 2*c - c**w = 0.
-2, 0, 1
Let r(y) be the second derivative of y**6/1080 - y**5/360 - 2*y**3/3 - y. Let w(s) be the second derivative of r(s). Factor w(m).
m*(m - 1)/3
Factor 0*c**3 - 3/5*c**5 + 0 + 6/5*c**4 - 6/5*c**2 + 3/5*c.
-3*c*(c - 1)**3*(c + 1)/5
Let h(y) be the third derivative of 0*y**4 - 1/30*y**5 + 0 + 0*y + 1/3*y**3 - y**2. Determine z so that h(z) = 0.
-1, 1
Let 46*m**2 - 12*m - 36 - 23*m**2 - 24*m**2 = 0. What is m?
-6
Suppose -c - 9 = -4*u - 2*c, -4*u - 3*c = -3. Factor 5*f + u + 4 + f**2 - 4 - f.
(f + 1)*(f + 3)
Let s(i) be the second derivative of -i**6/75 + i**5/50 + i**4/10 - i**3/15 - 2*i**2/5 - 11*i. Find x, given that s(x) = 0.
-1, 1, 2
Let g be -2 + 5/4 - (-186)/248. What is s in -2/3*s**4 + g + 2/3*s**2 - 2/3*s + 2/3*s**3 = 0?
-1, 0, 1
Let q(a) = a**2 + 5*a. Let b be q(-6). Let y be ((-4)/b)/(4/(-12)). What is o in 4*o**4 - y*o - 4*o**4 - o**4 + 2*o**3 + 1 = 0?
-1, 1
Let b be (3 + -4)/((-15)/10). Suppose 0 = -4*j + 7 + 1. Suppose -2/3*g + b*g**j - 4/3 = 0. What is g?
-1, 2
Let z(r) = 129*r**5 + 646*r**4 + 1035*r**3 + 698*r**2 + 216*r + 20. Let h(m) = -m**5 + m**4 - m + 1. Let t(v) = -4*h(v) - z(v). Determine s so that t(s) = 0.
-3, -1, -2/5
Suppose 3*j - 5 - 1 = 0. Suppose -15 = 3*c + j*c, 0 = 5*h - 4*c - 27. Factor -4*y**2 + 3*y**3 + y**2 + 0*y**4 + h*y**4 - 3*y.
3*y*(y - 1)*(y + 1)**2
Let h(k) = k**2 - 7*k + 9. Let w be h(6). Factor -o**3 - 22*o**2 - 16*o + 20*o**4 + 5*o**w - 26*o**2 - 16*o**3.
4*o*(o - 2)*(o + 1)*(5*o + 2)
Let i = -449 + 451. Find r, given that -8/9*r - 8/9 - 2/9*r**i = 0.
-2
Factor -4/9*f**2 - 2/9*f**3 - 2/9*f + 0.
-2*f*(f + 1)**2/9
Suppose -2*c - 3*z + 0 = 1, 5*z = 4*c - 9. Let f be (-2 + c)/(1/(-2)). Factor -2/3*r**4 - 2/3*r - 2*r**3 + 0 - 2*r**f.
-2*r*(r + 1)**3/3
Suppose 0 = -3*a + 4*j + 4, -5*j - 2 = 3. Suppose -2*d + 8 = a, -g + 2*d - 4 = -0. Factor 7*y**4 - y**4 + 5*y**2 - y - 9*y**3 - 2*y**5 - 2*y**4 + 3*y**g.
-y*(y - 1)**3*(2*y - 1)
Suppose 4*v = 207 + 177. Let l be (3/7)/(18/v). Solve -l*i - 18/7*i**5 + 8/7 - 2*i**2 + 34/7*i**3 + 6/7*i**4 = 0 for i.
-1, 2/3, 1
Determine v, given that 5*v**4 + 0*v**4 + 20*v - 5*v - 5*v**2 - 15*v**3 = 0.
-1, 0, 1, 3
Let b be (1 - 1) + (2 - -1). Suppose -5*w + b*z = 5*z - 36, 0 = -w + 2*z. Factor -11*x**4 + 5*x**4 + 2 + 4*x**2 + 2*x**3 + 2*x**5 - w*x + 2*x**3.
2*(x - 1)**4*(x + 1)
Let a(b) be the third derivative of b**6/96 - 5*b**5/48 + 35*b**4/96 - 5*b**3/8 + 10*b**2. Factor a(p).
5*(p - 3)*(p - 1)**2/4
Suppose -2 - 2 = -2*a. Let r(f) be the third derivative of a*f**2 + 1/168*f**8 + 0*f + 0*f**4 + 0*f**5 - 1/60*f**6 + 0 + 0*f**3 + 0*f**7. Factor r(t).
2*t**3*(t - 1)*(t + 1)
Let z(v) = -v**3 + 3*v**2 + 6*v - 6. Let j be z(4). Factor -1/2*f**4 + 0 + 0*f**j + 0*f**3 + 0*f + 1/2*f**5.
f**4*(f - 1)/2
Let y(h) be the second derivative of 0 - 2*h + 1/3*h**3 - 1/6*h**4 + 0*h**2. Factor y(k).
-2*k*(k - 1)
Let n(j) be the third derivative of -j**8/84 - 4*j**7/105 + j**6/15 + 8*j**5/15 + 7*j**4/6 + 4*j**3/3 + 4*j**2. Factor n(l).
-4*(l - 2)*(l + 1)**4
Let v(l) be the first derivative of 15*l**4/4 - 7*l**3 - 12*l**2 + 12*l + 8. Factor v(w).
3*(w - 2)*(w + 1)*(5*w - 2)
Find t, given that -6*t**3 - 15*t**5 - 33*t**4 + 1540*t - 1540*t = 0.
-2, -1/5, 0
Let g(x) be the first derivative of -9*x**5/5 + 3*x**4 + 2*x**3 - 6*x**2 + 3*x + 9. Suppose g(w) = 0. Calculate w.
-1, 1/3, 1
Let w(y) be the second derivative of y**5/10 - 5*y**4/6 + 8*y**3/3 - 4*y**2 - 9*y. Suppose w(q) = 0. What is q?
1, 2
Suppose 7*c - 4*t + 8 = 3*c, 5*c + 5*t = 30. Suppose 0*a + 0 - 3*a**c - 15*a**3 - 21/4*a**5 - 69/4*a**4 = 0. Calculate a.
-2, -1, -2/7, 0
Let w(n) = -n**2 - 5*n - 1. Let i be w(-1). Determine g, given that -21/5*g**2 + 3/5*g**5 + g**4 - 4/5 - 7/5*g**i - 16/5*g = 0.
-1, -2/3, 2
Let q(b) be the first derivative of -b**3/3 + 5*b**2/6 + 2*b/3 - 13. Find k such that q(k) = 0.
-1/3, 2
Factor -2 + 0*h**5 - 5*h**5 - h**5 + 6*h - 4*h**2 + 4*h**5 + 6*h**4 - 4*h**3.
-2*(h - 1)**4*(h + 1)
Let l(y) = y**3 + 11*y**2 - 12*y. Let h be l(-12). Let a = 0 + 3. What is x in x**4 + x + h*x**2 + 3*x**a - 4*x**3 - x**2 = 0?
-1, 0, 1
Suppose d + 2*d - 7 = 2*p, 2 = 3*p - 2*d. Let s be (-4)/6*3 + p. Suppose 0*b + 0 - s*b**4 + 6/7*b**5 - 2/7*b**2 + 10/7*b**3 = 0. Calculate b.
0, 1/3, 1
Factor 3/5*s**3 - 6/5*s - 3/5*s**2 + 0.
3*s*(s - 2)*(s + 1)/5
Suppose 0 = 46*q - 21*q - 50. Factor q*o**4 - 1/2*o - 1/2*o**5 + 0 + 2*o**2 - 3*o**3.
-o*(o - 1)**4/2
Let o = 291 - 289. Factor 1/2*b**3 + 0*b - o + 3/2*b**2.
(b - 1)*(b + 2)**2/2
Factor 17*f**2 + f + 4*f**3 - 3*f**3 - 15*f**2.
f*(f + 1)**2
Suppose 18 = -0*c + 2*c. Suppose 4*t - 3 = c. Factor 4*o**4 - 2*o**t + o**2 - 4*o**4 + 2*o - o**4.
-o*(o - 1)*(o + 1)*(o + 2)
Let f be (-15)/(-12)*6/5. Let h(k) be the first derivative of 1/4*k**3 + f*k**2 + 2 + 3*k. Determine d, given that h(d) = 0.
-2
Let f(v) be the first derivative of v**4 + v**3 - 4*v + 1/5*v**5 - 2*v**2 + 2. Solve f(l) = 0 for l.
-2, -1, 1
Let y(v) be the first derivative of 0*v + 3/2*v**2 - 3 - v**3. Let y(i) = 0. Calculate i.
0, 1
Let t(h) be the first derivative of -h**6/1800 + h**4/120 - 7*h**3/3 + 6. Let o(v) be the third derivative of t(v). Solve o(j) = 0 for j.
-1, 1
Let r = 0 - -2. Let o = r - -2. Factor -y**2 + y + o*y - 3*y - y**3.
-y*(y - 1)*(y + 2)
Let t = -219/4 - -55. Let w(l) be the first derivative of 5/8*l**2 - 1/4*l + 5/8*l**4 + 1/24*l**6 - 5/6*l**3 - t*l**5 + 3. Factor w(j).
(j - 1)**5/4
Let v(r) = -r**2 + 4*r + 4. Let h be v(4). Suppose -2*i**h + 5*i**4 - 3*i**2 - 2*i**4 + 2*i**2 = 0. Calculate i.
-1, 0, 1
Factor 1/4*t**3 + 0*t + 0 - 1/2*t**2.
t**2*(t - 2)/4
What is p in 0*p**3 + 1/4*p**4 - 1/4*p**2 + 0 + 0*p = 0?
-1, 0, 1
Let v(y) be the third derivative of -y**7/10080 - y**6/1440 + y**4/8 - 4*y**2. Let o(z) be the second derivative of v(z). What is q in o(q) = 0?
-2, 0
Let c(x) = x**4 - 12*x**3 - 17*x**2 + x + 5. Let y(v) = 2*v**4 - 18*v**3 - 26*v**2 + 2*v + 8. Let q(p) = 8*c(p) - 5*y(p). Factor q(j).
-2*j*(j + 1)**3
Let w(z) be the first derivative of z**3/2 + 9*z**2/4 + 3*z + 4. Factor w(j).
3*(j + 1)*(j + 2)/2
Let d = -216/55 - -52/11. Suppose d*f**5 + 0 + 16/5*f**2 + 8/5*f - 2*f**4 - 6/5*f**3 = 0. What is f?
-1, -1/2, 0, 2
Determine l so that -8*l**2 - 2*l + 184*l**3 - 180*l**3 + 6*l = 0.
0, 1
Suppose -4*t + 0*t = -8. Let p(g) be the first derivative of 2/9*g + 1 - 2/27*g**3 + 0*g**t. Factor p(z).
-2*(z - 1)*(z + 1)/9
What is u in 9*u + 3/8*u**3 + 27/2 - 33/8*u**2 = 0?
-1, 6
Factor -1/2 + 2/3*o**3 + 1/6*o**4 - 2/3*o + 1/3*o**2.
(o - 1)*(o + 1)**2*(o + 3)/6
Solve -2*a**3 + 3*a**5 - 4*a**3 - 