 2*z**5.
-2*z**3*(z - 1)**2
Let z = 0 - 2. Let y(l) = -l**3 - 3*l**2 - 3*l + 3. Let f(p) = 3*p**3 + 7*p**2 + 7*p - 7. Let w(c) = z*f(c) - 5*y(c). Find i, given that w(i) = 0.
-1, 1
Let q(b) be the third derivative of -b**7/10080 + b**5/480 - b**4/12 - 4*b**2. Let d(l) be the second derivative of q(l). Find a, given that d(a) = 0.
-1, 1
Let o = -119/3 + 40. Let z(q) be the first derivative of -1/3*q**3 + o*q + 1/6*q**2 - 5/12*q**4 - 1 - 2/15*q**5. Suppose z(b) = 0. What is b?
-1, 1/2
Let r(t) be the first derivative of t**6/27 + 4*t**5/15 + 4*t**4/9 - 32*t**3/27 - 16*t**2/3 - 64*t/9 - 2. Find w such that r(w) = 0.
-2, 2
Let q(g) be the first derivative of 2*g**3/15 - 3*g**2/5 + 13. Factor q(z).
2*z*(z - 3)/5
Factor 0*z**3 - 4/11*z**2 + 2/11*z**4 + 2/11 + 0*z.
2*(z - 1)**2*(z + 1)**2/11
Suppose 6 = -3*k, 4*b - 5*k = -10*k + 54. Let z be 3 + b/(-6) + 0. Suppose -o + z*o**5 + 2/3*o**3 - 1/3 - 2/3*o**2 + o**4 = 0. What is o?
-1, 1
Factor -9/4*l + l**2 + 1/2.
(l - 2)*(4*l - 1)/4
Factor -d**2 + 11*d + 4*d - 7*d.
-d*(d - 8)
Suppose 2*i - 3*i = 2*h - 9, 2*h = -4*i + 18. Suppose -9*u**2 + 2*u**3 - 8*u**i + 4*u - u**2 = 0. Calculate u.
-2, 0, 1/3
Let v(n) be the first derivative of n**6/12 + n**5/10 - 3*n**4/8 - n**3/6 + n**2/2 + 5. Let v(h) = 0. Calculate h.
-2, -1, 0, 1
Let o be (-4 + 5)/(2 + 1). Solve -1/3*g**2 - 1/3*g**5 + 1/3*g**3 + 0*g + 0 + o*g**4 = 0.
-1, 0, 1
Let j = 158/3 + -52. Factor -j*i**2 - 4/3*i - 2/3.
-2*(i + 1)**2/3
Let r(b) be the third derivative of -b**6/420 - b**5/70 + 4*b**3/21 - 2*b**2. Factor r(j).
-2*(j - 1)*(j + 2)**2/7
Let -2*o**4 + 12*o**2 + 2*o**3 - 12*o**2 + 4*o**2 = 0. What is o?
-1, 0, 2
Let g = 973 + -1945/2. Find j such that -g*j**5 + 2 + 25/2*j**2 + 7/2*j**4 - 19/2*j**3 - 8*j = 0.
1, 2
Let k(o) = 6*o**3 - 17*o**2 - 23*o. Let l(h) = -2*h**3 + 6*h**2 + 8*h. Let v(b) = 6*k(b) + 17*l(b). Solve v(z) = 0.
-1, 0, 1
Let p(o) = o**3 - o**2 - o - 1. Let b(v) = 4*v**3 + 11*v**2 - 4*v - 9. Let h(q) = b(q) + p(q). Find f, given that h(f) = 0.
-2, -1, 1
Let r(t) be the first derivative of -1/2*t**2 + 1/4*t**4 + 0*t + 3 + 0*t**3. Let r(c) = 0. Calculate c.
-1, 0, 1
Let g(h) be the second derivative of 0 + 1/12*h**4 + 0*h**2 + 0*h**3 - 2*h. Let l(k) = -3*k**2. Let o(t) = -5*g(t) - l(t). Factor o(w).
-2*w**2
Suppose -11*q = -8*q - 6. Determine m so that -1/4*m**4 + 0*m + 0 + 1/4*m**3 + 0*m**q = 0.
0, 1
Let w be 0*(-4 - 0)/(-4). Suppose 0 = 5*x - w - 10. Factor 2*h**x + 1/3*h**4 - 4/3*h**3 - 4/3*h + 1/3.
(h - 1)**4/3
Let m(i) be the first derivative of -2*i**3/33 + 2*i/11 + 11. Factor m(r).
-2*(r - 1)*(r + 1)/11
Let m(a) = 4*a**4 - 5*a**3 + 5*a - 4. Let y(c) = -3*c**4 + 4*c**3 - 4*c + 3. Let w(v) = -2*m(v) - 3*y(v). Find k such that w(k) = 0.
-1, 1
Find y, given that -84*y**2 + 68*y - 2 - 106*y**4 - 6 + 6*y**4 - 260*y**3 = 0.
-2, -1, 1/5
Let p(w) be the second derivative of -1/30*w**5 + 0*w**3 - 1/14*w**7 - 2*w + 0*w**4 + 1/10*w**6 + 0*w**2 + 0. Let p(m) = 0. Calculate m.
0, 1/3, 2/3
Factor 3/7*b**5 + 0*b + 0*b**4 - 3/7*b**3 + 0*b**2 + 0.
3*b**3*(b - 1)*(b + 1)/7
Let o(l) be the first derivative of l**7/2520 + l**6/1080 + 7*l**3/3 - 7. Let q(u) be the third derivative of o(u). Let q(x) = 0. What is x?
-1, 0
Let z(a) be the third derivative of a**7/210 - a**5/60 - 7*a**2. Factor z(y).
y**2*(y - 1)*(y + 1)
Suppose -2*k + 7 = -k + 5*w, 5*w = 5*k - 5. Factor -6*u**3 + 62*u**k + 8*u + 2*u**4 - 62*u**2.
2*u*(u - 2)**2*(u + 1)
Suppose -12/13*w**3 + 120/13*w - 2/13*w**4 + 22/13*w**2 - 200/13 = 0. Calculate w.
-5, 2
Let o(z) be the first derivative of 3*z**5/2 + 51*z**4/8 - 7*z**3 - 6*z**2 - 42. Solve o(q) = 0 for q.
-4, -2/5, 0, 1
Suppose 2*z - 6*z + 32 = 0. Let w = -11 + z. Let j(s) = -5*s**3 - 4*s**2 + s. Let k(c) = 4*c**3 + 3*c**2 - c. Let r(g) = w*j(g) - 4*k(g). Factor r(p).
-p*(p - 1)*(p + 1)
Let l = 5 + -8. Let z = l + 5. Factor -238*f**4 + 22*f + 46*f**z + 30*f - 8 - 20*f - 98*f**5 - 134*f**3.
-2*(f + 1)**3*(7*f - 2)**2
Let d(q) be the third derivative of q**7/420 - 2*q**6/135 + 7*q**5/180 - q**4/18 + q**3/2 - 3*q**2. Let r(h) be the first derivative of d(h). Factor r(l).
2*(l - 1)**2*(3*l - 2)/3
Let c be (-72)/240 + (-1)/2*-1. Factor -c*k - 2/5*k**5 + 0 - 9/5*k**3 + 7/5*k**4 + k**2.
-k*(k - 1)**3*(2*k - 1)/5
Suppose 126*t = 120*t + 18. Let -2/3*m**2 + 0 + 2/3*m**t + 0*m = 0. Calculate m.
0, 1
Suppose 5*i - 20 = 0, -2*i = 5*y + 2*i - 41. Factor 2*c + 2*c**y - 6*c**3 - 2*c**3 + 4*c**3.
2*c*(c - 1)**2*(c + 1)**2
Let g = 5062/1771 - 2/1771. Suppose -10/7*z - g*z**2 - 20/7*z**3 - 2/7 - 10/7*z**4 - 2/7*z**5 = 0. Calculate z.
-1
Suppose 12*f**2 - 86*f**3 + 82*f**3 - 9*f + f = 0. Calculate f.
0, 1, 2
Solve 6*f**2 + 3/5*f**3 - 24/5 - 12/5*f - 12/5*f**4 + 3/5*f**5 = 0.
-1, 2
Let s(i) be the first derivative of -i**7/105 + i**6/180 + i**5/45 + 3*i**2/2 + 3. Let b(j) be the second derivative of s(j). Factor b(o).
-2*o**2*(o - 1)*(3*o + 2)/3
Let j(p) be the third derivative of p**7/840 + p**6/360 - p**3/2 + 2*p**2. Let g(c) be the first derivative of j(c). Find n, given that g(n) = 0.
-1, 0
Let o(h) be the third derivative of 0 + 1/960*h**6 + 0*h + 1/192*h**4 + 1/240*h**5 + 0*h**3 - 6*h**2. Find i such that o(i) = 0.
-1, 0
Factor 14*b**3 + 51*b**3 - 95*b**2 + 85*b**2 + 75*b**4.
5*b**2*(b + 1)*(15*b - 2)
Let w(h) be the first derivative of h**3/3 - 4*h + 8. Solve w(i) = 0.
-2, 2
Let z(p) be the second derivative of 0 + 0*p**3 + 0*p**2 + 1/6*p**4 + 1/3*p**6 - 3/5*p**5 + 5*p. Let z(a) = 0. Calculate a.
0, 1/5, 1
Let u(n) be the first derivative of -n**6/240 - n**2/2 - 3. Let v(o) be the second derivative of u(o). What is c in v(c) = 0?
0
Let f(j) be the second derivative of j**6/105 + 3*j**5/35 + 11*j**4/42 + 2*j**3/7 + 29*j. Let f(u) = 0. What is u?
-3, -2, -1, 0
Suppose 0 = 2*m - 0*m - 10. Let t be (-3)/(-6)*m*2. Factor -t*a**4 + a**2 + 4*a**4 + 0*a**2.
-a**2*(a - 1)*(a + 1)
Suppose -4*d = -2*d + 3*b + 8, -3*d + 4*b + 22 = 0. Factor 2*l**2 - 4*l + 4*l - d*l**3.
-2*l**2*(l - 1)
Suppose 4*m = -0*m + 16. Let g(c) be the first derivative of 2/5*c**5 - 2/3*c**3 + 0*c + 1/2*c**2 - 2 - 1/6*c**6 + 0*c**m. Factor g(x).
-x*(x - 1)**3*(x + 1)
Let y = 46 + -27. Let x = 21 - y. Suppose 0*m + 8/5*m**5 - 2/5*m**x + 2/5*m**4 + 0 - 8/5*m**3 = 0. What is m?
-1, -1/4, 0, 1
Suppose 13*i - 37 = 15. Let s(w) = -w**2 + 6. Let h be s(0). Suppose -26/9*c + 4/9 + h*c**2 - 46/9*c**3 + 14/9*c**i = 0. Calculate c.
2/7, 1
Let f(s) = 7*s**5 + 19*s**4 + 23*s**3 + 13*s**2 + 6*s - 4. Let i(m) = -m**4 - 7*m - m**3 - 2 + 8*m + 1. Let d(o) = -f(o) + 4*i(o). Solve d(k) = 0 for k.
-1, -2/7, 0
Let t = 5 + -1. Let p = t - 3. Factor -y - 3 + 2*y + y**2 + p.
(y - 1)*(y + 2)
Let r = 1 + 2. Suppose f + 10 = r*f. Find d such that 2*d**4 + f*d**4 - 5*d**4 + 4*d**5 + 4*d - 4*d**2 - 2*d**3 - 6*d**3 + 2 = 0.
-1, -1/2, 1
Let i be (-2)/(-4)*36/6. Let b = i + -1. Factor -2/3*x**b + 1/3*x**3 + 1/3*x + 0.
x*(x - 1)**2/3
Suppose -31 = -b - 5*o + 2, o + 11 = 2*b. Let q = b + -8. Let 1/2*a**2 + q - 1/2*a**3 + 0*a = 0. What is a?
0, 1
Let b(m) be the third derivative of 0*m**5 + 0*m - 1/1344*m**8 + 0*m**4 + 1/480*m**6 + 0*m**7 + 0 + m**2 + 0*m**3. Factor b(n).
-n**3*(n - 1)*(n + 1)/4
Let m(i) be the third derivative of i**7/630 + 7*i**6/1080 + i**5/180 - i**4/72 - i**3/27 + 36*i**2. Factor m(g).
(g + 1)**3*(3*g - 2)/9
Let p = -270 - -1351/5. Factor -1/5*t**2 + 0 + 0*t - p*t**3.
-t**2*(t + 1)/5
Let a(c) be the second derivative of -c**7/14 + 3*c**5/10 - c**3/2 + 4*c. Factor a(g).
-3*g*(g - 1)**2*(g + 1)**2
Let y(j) be the second derivative of j**4 + 16*j**3/3 - 6*j**2 + 28*j. Suppose y(o) = 0. Calculate o.
-3, 1/3
Let h(l) be the second derivative of 0*l**2 + 0 + 1/12*l**4 + 1/6*l**3 + 2*l. Factor h(d).
d*(d + 1)
Let k(d) be the third derivative of -d**5/150 - d**4/30 - d**3/15 - 6*d**2. Find v such that k(v) = 0.
-1
Let m = -3 + -6. Let k = -6 - m. Suppose 3/4*v**2 - 3/4*v - 1/4*v**k + 1/4 = 0. Calculate v.
1
Let i be (2 - 2)*((-42)/18)/(-7). Let q(r) be the first derivative of -3/5*r**5 + 3 + 0*r**3 + 3/4*r**4 + 0*r**2 + i*r. Let q(a) = 0. What is a?
0, 1
Factor 0 + 5/2*t + 1/2*t**2.
t*(t + 5)/2
Let a = -18 + 20. Let m = -68/5 - -14. Factor -9/5*o + m + 4/5*o**a.
(o - 2)*(4*o - 1)/5
Let k be -2*(5/(-2) - -1). Suppose -y + 16 = k*y. Factor -r**3 + 7*r**4 + 0*r**3 - 3*r**y.
r**3*(4*r - 1)
Suppose -4*w + 