f 1/231*x**7 + 0*x**2 - 1/110*x**5 + 0 - 1/66*x**4 + 0*x**3 + 1/165*x**6 - 2*x. Factor g(j).
2*j**2*(j - 1)*(j + 1)**2/11
Factor 2/3*s**2 + 0 + 1/3*s + 1/3*s**3.
s*(s + 1)**2/3
Let q be (-2 - 5) + 4 + 46/14. Factor -2/7*b - 2/7 - 2/7*b**5 + 4/7*b**3 + 4/7*b**2 - q*b**4.
-2*(b - 1)**2*(b + 1)**3/7
Suppose 8 = -4*h + 36. Suppose 2*s - h*s**2 - 9*s**2 + 18*s**2 = 0. What is s?
-1, 0
Factor 2/5*j**3 - 3/5*j + 1/5*j**5 - 3/5*j**4 + 2/5*j**2 + 1/5.
(j - 1)**4*(j + 1)/5
Let i(t) be the third derivative of 0*t**4 + 1/60*t**6 + 4/105*t**7 + 0 - 3*t**2 + 0*t**3 + 0*t - 1/60*t**5. Solve i(d) = 0.
-1/2, 0, 1/4
Let z(t) be the second derivative of -2*t**6/15 - 2*t**5/5 + t**4 + 16*t**3/3 + 8*t**2 + 3*t - 18. Factor z(g).
-4*(g - 2)*(g + 1)**2*(g + 2)
Let p(a) be the first derivative of a**4 - 8*a**3/3 - 8*a**2 + 32*a + 10. Factor p(h).
4*(h - 2)**2*(h + 2)
Let i(a) be the second derivative of -a**4/54 + a**3/27 + 2*a**2/9 + 3*a. Factor i(j).
-2*(j - 2)*(j + 1)/9
Let u(k) be the first derivative of k**5/20 + k**4/4 + k**3/3 + 3*k - 2. Let h(i) be the first derivative of u(i). Suppose h(l) = 0. Calculate l.
-2, -1, 0
What is c in 3*c**4 + 8*c**2 - 84*c**5 + 13*c**4 + 60*c**3 - 4*c + 4*c**5 = 0?
-1/2, 0, 1/5, 1
Let d(k) be the second derivative of k**7/14 - 3*k**6/20 - 3*k**5/40 + 3*k**4/8 - k**3/4 + 25*k. Solve d(x) = 0 for x.
-1, 0, 1/2, 1
Let n(u) = 7*u**2 - 3. Let g(i) = -8*i**2 + 4. Let h(l) = 3*g(l) + 4*n(l). Factor h(b).
4*b**2
Let o = -9 + 3. Let v = o + 8. Factor 0*j - 2/7*j**v + 2/7.
-2*(j - 1)*(j + 1)/7
Let v(f) be the second derivative of 5*f**4/12 - 5*f**2/2 - f. Factor v(r).
5*(r - 1)*(r + 1)
Let s be (2/(-6))/((-1)/6). Find u such that 11*u**s - 4*u + 6*u**2 - 8 + 12*u**3 - u**2 = 0.
-1, 2/3
Let n(s) be the third derivative of -s**8/336 + s**7/30 + 24*s**2. Let n(a) = 0. What is a?
0, 7
Let k(t) be the third derivative of -1/630*t**7 + 0*t**3 + 1/180*t**5 + 0 - t**2 - 1/72*t**4 + 1/360*t**6 + 0*t. Suppose k(i) = 0. What is i?
-1, 0, 1
Let p(l) be the second derivative of l**6/60 + l**5/30 + l**2/2 - 2*l. Let q(u) be the first derivative of p(u). Factor q(t).
2*t**2*(t + 1)
Let d(v) be the second derivative of 5*v**4/12 - 25*v**3/3 + 125*v**2/2 + 3*v. Factor d(u).
5*(u - 5)**2
Let a = 9 - 8. Let c = 9 - a. Let 4/9*i**2 - c*i**4 + 10/3*i**3 + 0 - 2/9*i = 0. What is i?
-1/4, 0, 1/3
Let g(b) be the first derivative of 5*b**3/3 + 30*b**2 + 180*b - 17. Solve g(l) = 0.
-6
Let z(i) = -i + 1. Let s(h) = 3*h**4 - 3*h**3 - 6*h + 6. Let j(m) = -s(m) + 6*z(m). Find d such that j(d) = 0.
0, 1
Let j(y) = -y**3 + 18*y**2 + 19*y + 4. Let p be j(19). Let v(t) be the second derivative of 2*t + 0 - 1/4*t**2 - 1/24*t**p - 1/6*t**3. Solve v(u) = 0 for u.
-1
Let g(n) be the first derivative of -n**6/30 - 3*n**5/20 - n**4/4 - n**3/6 + n + 5. Let c(u) be the first derivative of g(u). Determine q, given that c(q) = 0.
-1, 0
Let t(j) be the first derivative of 3*j**4/4 - 4*j**3 + 9*j**2/2 + 35. Let t(v) = 0. What is v?
0, 1, 3
Solve b**2 - 8*b**4 - 29*b + 28*b - b**4 + 9*b**3 = 0 for b.
-1/3, 0, 1/3, 1
Let u(q) be the first derivative of -q**6/240 + q**5/120 + q**4/48 - q**3/12 - q**2/2 - 3. Let b(m) be the second derivative of u(m). Factor b(t).
-(t - 1)**2*(t + 1)/2
Let g(u) be the first derivative of -u**6/60 - u**5/30 + u**4/6 + 3*u**2 - 8. Let b(y) be the second derivative of g(y). Factor b(o).
-2*o*(o - 1)*(o + 2)
Find c such that -5*c - 8*c - 405*c**5 - 30*c**2 + 270*c**3 + 5 + 15*c**4 - 150*c**4 - 12*c = 0.
-1, -1/3, 1/3
Suppose 0 = 3*n - 2*n + 3*a + 5, -4*a = -3*n + 24. Determine w so that -12/11*w**2 - 2/11 - 2/11*w**n + 8/11*w**3 + 8/11*w = 0.
1
Let h(j) be the third derivative of j**5/20 + 3*j**4/8 + j**3 - 10*j**2. What is d in h(d) = 0?
-2, -1
Factor -1/3*y**3 + 1/3*y + 0 + 0*y**2.
-y*(y - 1)*(y + 1)/3
Let u = 24541/18 - 1363. Let w = u - -1/9. Find a such that -w*a**3 + 3/4*a - 1/4*a**5 - 3/4*a**4 + 1/2*a**2 + 1/4 = 0.
-1, 1
Suppose 3*g + 2*h - 8 = 0, 0 = -3*h - h + 16. Find v such that 0*v + 4/5*v**4 + 0*v**2 + 2/5*v**3 + g + 2/5*v**5 = 0.
-1, 0
Let p(o) be the first derivative of -4*o**6/135 + 2*o**5/45 - o**4/36 + 2*o**3/3 - 3. Let c(y) be the third derivative of p(y). Let c(d) = 0. Calculate d.
1/4
Let a(r) = r**3 - r**2 + r. Let w(q) = 2*q**4 - 14*q**3 + 6*q**2 - 10*q + 4. Let y(b) = 12*a(b) + w(b). Solve y(s) = 0 for s.
-1, 1, 2
Let d(b) be the second derivative of 1/2*b**2 + 2*b + 0 - 1/140*b**6 - 1/210*b**5 + 1/42*b**4 + 0*b**3. Let c(l) be the first derivative of d(l). Factor c(j).
-2*j*(j + 1)*(3*j - 2)/7
Let n = -2 + 4. Let j be 0*-1*2/4. What is d in -1/3 + 1/3*d**n + j*d = 0?
-1, 1
Suppose -v + 15 = 4*v. Factor v*o + 6*o**2 + 2*o**3 - 14*o - 6 + 9*o.
2*(o - 1)*(o + 1)*(o + 3)
Let w be (5/20)/((-1)/(-8)). Find t such that w*t + 0*t + 4*t - t**2 - 5*t = 0.
0, 1
Find x such that -9*x + 9*x**2 + 3*x**3 + x - 4*x = 0.
-4, 0, 1
Let 12*v**2 - 22*v**2 + 12*v + 8*v**2 - 9 - 1 = 0. What is v?
1, 5
Let w be 4/(-1) - (-1)/((-11)/(-50)). Factor 4/11 + w*s + 2/11*s**2.
2*(s + 1)*(s + 2)/11
Let q(y) be the first derivative of y**4/16 - y**2/8 - 10. Factor q(g).
g*(g - 1)*(g + 1)/4
Let i = 0 - -1/8. Let v(u) be the second derivative of u - 1/60*u**6 - 3/40*u**5 - 1/12*u**3 + 0 + 0*u**2 - i*u**4. Determine l so that v(l) = 0.
-1, 0
Let x(m) be the third derivative of m**7/2310 - m**5/330 + m**3/66 - 12*m**2. Determine v, given that x(v) = 0.
-1, 1
Let o be 3 + 13/(26/204). Let p be (-1 - -2) + (-75)/o. Find d such that -4/7*d**5 + 10/7*d**4 - p*d**3 - 4/7*d**2 + 0*d + 0 = 0.
-1/2, 0, 1, 2
Suppose -9/4 - 1/4*o**2 + 3/2*o = 0. Calculate o.
3
Let n be (-1 + (-1)/(-2))*2 + 3. Suppose 4*l - 4/3 - 3*l**n = 0. Calculate l.
2/3
Let z(k) be the first derivative of k**6/30 + 4*k**5/25 + 3*k**4/20 - 4*k**3/15 - 2*k**2/5 + 2. Factor z(o).
o*(o - 1)*(o + 1)*(o + 2)**2/5
Let i = 17 - 10. Let z be 2/(-1)*-1 + i. Solve 3*b**3 - b**4 - 2*b**4 + 3*b**2 + 6*b - z*b = 0.
-1, 0, 1
Let i = 14 + -10. Let g(r) = r**5 - r**4 - 1. Let o(t) = -5*t**5 + 5*t**4 + 5*t**3 - t**2 - 8*t. Let f(p) = i*g(p) + o(p). Suppose f(l) = 0. Calculate l.
-1, 2
Factor 8*p**2 - 4 - 49*p**4 + 11*p**2 - 22*p**2 + 6*p**2 + 70*p**3 - 20*p.
-(p - 1)**2*(7*p + 2)**2
Let b(m) be the second derivative of -m**8/1680 - m**7/210 - m**6/72 - m**5/60 + m**3/2 + m. Let p(k) be the second derivative of b(k). What is s in p(s) = 0?
-2, -1, 0
Let d(q) = q**2 - q. Let n(c) = -7*c**2 + 9*c - 2. Let i(j) = 5*d(j) + n(j). Solve i(b) = 0.
1
Let p(i) be the third derivative of -i**7/1260 - i**6/180 + i**4/12 - 3*i**2. Let a(b) be the second derivative of p(b). Factor a(m).
-2*m*(m + 2)
Suppose 0*n + 2/7*n**2 + 0 = 0. What is n?
0
Let k(w) be the first derivative of -w**3/9 - w**2/3 - w/3 + 13. Factor k(u).
-(u + 1)**2/3
Factor -7*t**3 - 4*t + 4*t**3 + t - 6*t**2 + 0*t.
-3*t*(t + 1)**2
Let m = 3743/28 - 934/7. Solve -1/8 - m*z - 1/8*z**2 = 0 for z.
-1
Let w(j) be the second derivative of j**6/15 - j**5/5 - 5*j**4/6 + 2*j**3 + 30*j. Factor w(h).
2*h*(h - 3)*(h - 1)*(h + 2)
Let y be 27/(-9) - (-1451)/462. Let q = y - -2/77. Solve -1/3*m + 1/6 + 1/3*m**3 - q*m**4 + 0*m**2 = 0.
-1, 1
Let d(g) = -11*g**3 + 67*g**2 - 25*g - 7. Let f(m) = 6*m**3 - 33*m**2 + 12*m + 3. Let u(z) = -3*d(z) - 7*f(z). Determine x so that u(x) = 0.
0, 1/3, 3
Let g(y) = y**2 + 13. Let a be g(0). Let w be 18/7 + (11 - a). Factor -2/7*k**3 + 6/7*k + w + 0*k**2.
-2*(k - 2)*(k + 1)**2/7
Suppose 0*h - 5*h = 400. Let c be (-54)/(-24)*h/(-14). Solve 8/7 + 8*j - 8*j**3 + c*j**2 - 14*j**4 = 0.
-1, -2/7, 1
Let h(o) = 2*o**2 + 3*o - 9. Let f(n) = -3*n**2 - 2*n + 9. Let y(x) = 3*f(x) + 4*h(x). What is w in y(w) = 0?
3
What is o in 1/4 - 1/4*o**2 - 1/12*o**3 + 1/12*o = 0?
-3, -1, 1
Suppose 3 = 3*g - 3. Suppose -10*j = 49 - 49. Determine u, given that -1/3*u**4 - u**g + j + 1/3*u + u**3 = 0.
0, 1
Let k be (12/15)/(6/15). Factor -6*a**2 + 0 - 4*a + 4 - a**2 + 3*a**k + 4*a**3.
4*(a - 1)**2*(a + 1)
Let k be 22/60 + (-13)/78. Suppose 0 + k*a**3 - 1/5*a**4 + 2/5*a**2 + 0*a = 0. Calculate a.
-1, 0, 2
Factor 8*t**2 + 4*t**4 - 6*t**2 + 12*t**3 - 6*t**2 - 12*t.
4*t*(t - 1)*(t + 1)*(t + 3)
Let m(d) = d**2 + d + 4. Suppose 16 + 14 = 2*q. Let k(y) = -3*y**2 - 3*y - 15. Let n(a) = q*m(a) + 4*k(a). Factor n(f).
3*f*(f + 1)
Let c = -28/61 + 1682/2867. Let d = 134/423 + c. Suppose -2/