*(f - 1)**3*(f + 1)**2
Let d(w) be the second derivative of -w**5/50 - 7*w**4/15 + w**3 + w + 11. Factor d(c).
-2*c*(c - 1)*(c + 15)/5
Factor -11*u**2 - 7*u + 17*u + 11*u**2 + 12*u - u**2.
-u*(u - 22)
Let t = 11 + 9. Let l = 20 - t. Factor -1/6*i**3 + l + 1/3*i + 1/6*i**2.
-i*(i - 2)*(i + 1)/6
Suppose 0 = 5*q, -w = -3*q - 3 + 1. Suppose -3*f + 20 = 4*s + 2, 0 = 5*f - 4*s + 2. Suppose x**2 + 3*x**3 + w - f*x**3 - 2 = 0. What is x?
-1, 0
Let d(m) = -m + 11. Let r be d(7). Let -1 - 164*q**2 - 54*q**5 - 288*q**3 - 154*q**r - 3 - 62*q**4 - 42*q = 0. Calculate q.
-2, -1, -1/3
Suppose -8*d - 48 + 96 = 0. Let f(c) be the first derivative of -1/24*c**d + 0*c + 1/8*c**4 - 8 - 1/8*c**2 + 0*c**5 + 0*c**3. Factor f(o).
-o*(o - 1)**2*(o + 1)**2/4
Let f(q) = -8*q - 41. Let y be f(17). Let d = -1237/7 - y. Factor 2/7*t**3 + 6/7*t - d - 6/7*t**2.
2*(t - 1)**3/7
Let y(h) be the first derivative of -1/15*h**6 - 1/5*h**4 + 0*h + 0*h**2 + 6/25*h**5 + 10 + 0*h**3. Factor y(k).
-2*k**3*(k - 2)*(k - 1)/5
Let t(c) = 5*c**3 - 14*c**3 + c**2 - c + 8*c**3. Let m(i) = -9*i**4 + 30*i**3 - 27*i**2 + 12*i. Let x(g) = m(g) + 6*t(g). Factor x(k).
-3*k*(k - 1)**2*(3*k - 2)
Let j(m) be the second derivative of m**7/70 - 4*m**6/25 - 3*m**5/10 + 2*m**4/5 + 9*m**3/10 + 579*m. Solve j(k) = 0 for k.
-1, 0, 1, 9
Let d be (320/(-256))/((-1)/4*1). Let x be (d + (-114)/18)*(-108)/15. Factor 24/5*l - x - 3/5*l**2.
-3*(l - 4)**2/5
Let m(z) = -z**3 + 16*z**2 - 30*z + 32. Let x be m(14). Find o such that 2 - 1/2*o**3 - x*o + 5/2*o**2 = 0.
1, 2
Factor 6 + 2/3*r**3 + 25/3*r - 7*r**2.
(r - 9)*(r - 2)*(2*r + 1)/3
What is a in -3/7*a**2 - 51/7 + 54/7*a = 0?
1, 17
Factor -1/2*o**2 - 1/6*o**3 + 9/2 + 3/2*o.
-(o - 3)*(o + 3)**2/6
Let o(h) be the second derivative of h**5/20 - 5*h**4/12 - 13*h**3/6 - 7*h**2/2 - 194*h. Factor o(i).
(i - 7)*(i + 1)**2
Suppose 12*m - 27*m + 4 = 4. Determine j, given that -7/6*j**3 + 5/6*j**2 + m + 1/3*j = 0.
-2/7, 0, 1
Let j(t) be the first derivative of -t**5/25 - 17*t**4/20 - 14*t**3/5 + 2*t**2/5 + 56*t/5 + 187. Factor j(n).
-(n - 1)*(n + 2)**2*(n + 14)/5
Let h be (-12)/42 + 32/14. Factor -8*v**2 + 12*v**2 - 4 + h*v**3 + 0*v - 2*v + 0*v.
2*(v - 1)*(v + 1)*(v + 2)
Let c = -869 + 3497/4. Let g be (-2 + -1)*(-2)/4. Factor 0 + g*d + 9/4*d**2 - 9*d**3 + c*d**4.
3*d*(d - 1)**2*(7*d + 2)/4
Let y be 4 + 8/(-4) + 2. Solve -3 - 4*g**2 + 5 + 171*g**4 - 169*g**y = 0.
-1, 1
Let k(m) be the second derivative of 2*m**2 + 21*m + 0 - 4/3*m**3 + 1/3*m**4. Factor k(j).
4*(j - 1)**2
Suppose -3*b + 16 = 4. Suppose -7*x + 5 + 23 = 0. What is t in 60*t**3 + 2*t**4 - 32 - 6*t**x - 32*t**b + 59*t**2 - 3*t**2 - 48*t = 0?
-2/3, 1, 2
Let j = 7113 + -7109. Suppose -6*h**3 + 40/13*h**j + 0*h + 0 + 36/13*h**2 - 6/13*h**5 = 0. Calculate h.
0, 2/3, 3
Let 20/3*b + 24*b**3 + 0 - 32/3*b**4 + 4/3*b**5 - 64/3*b**2 = 0. What is b?
0, 1, 5
Let w(g) be the third derivative of -g**8/6720 - g**7/1680 - 3*g**5/10 + 33*g**2. Let j(a) be the third derivative of w(a). Solve j(d) = 0.
-1, 0
Factor 5*i**2 - 9*i**3 - 3*i**2 + 7*i**3.
-2*i**2*(i - 1)
Let k(j) be the third derivative of j**8/2184 + j**7/91 + 5*j**6/52 + 29*j**5/78 + 10*j**4/13 + 12*j**3/13 - 23*j**2 - 16. Factor k(c).
2*(c + 1)**3*(c + 6)**2/13
Let v be 64 + (9/6)/((-9)/(-12)). Let q = v + -460/7. Solve 8/7 + q*i**2 - 8/7*i = 0.
2
Solve 28*r + 12*r**3 - 11/4*r**4 - 26*r**2 + 1/4*r**5 - 12 = 0.
2, 3
Let i be 0 - (-1 + (-56)/(-60))*11381. Let k = 759 - i. Factor -k*g - 2/5*g**2 - 2/15*g**3 + 0.
-2*g*(g + 1)*(g + 2)/15
Suppose -1689 + 1685 = -2*k. Factor 0*y + 0 - y**4 + 2/5*y**3 + 3/5*y**5 + 0*y**k.
y**3*(y - 1)*(3*y - 2)/5
Let u be (4/(-12) + 1)*402. Let x = 270 - u. Let -6/7 + 9/7*k**x - 15/7*k = 0. What is k?
-1/3, 2
Let a(y) be the third derivative of -y**8/336 + y**7/30 + y**6/60 - 7*y**5/30 - y**4/24 + 7*y**3/6 - y**2 + 18*y. Solve a(m) = 0.
-1, 1, 7
Let g(u) be the second derivative of u**8/4032 - u**7/1512 + 7*u**4/3 - 11*u. Let f(c) be the third derivative of g(c). Factor f(z).
5*z**2*(z - 1)/3
Let l(r) be the third derivative of r**6/1140 - r**4/228 - 13*r**2. Solve l(g) = 0.
-1, 0, 1
Let w(g) = -3*g**2 + 3*g + 12. Let b(x) = x. Let r(z) = -3*b(z) + w(z). Factor r(k).
-3*(k - 2)*(k + 2)
Suppose 5*t = 2*g - g + 15, t - 12 = 2*g. Determine k, given that -t*k**3 + 61*k - 181*k - 80 - 45*k**2 - 3*k**3 = 0.
-4, -1
Let j(a) be the second derivative of 3*a**5/80 + 15*a**4/16 - 33*a**3/8 + 51*a**2/8 - 15*a + 4. Factor j(g).
3*(g - 1)**2*(g + 17)/4
Suppose -w - 4 = -5*z, -z + 5 = 4*w - 0. Let x(i) = -15*i**2 - 70*i - 50. Let y(d) = 1. Let h(a) = z*x(a) + 10*y(a). Suppose h(s) = 0. Calculate s.
-4, -2/3
Let x(l) = -l**2 + 17*l - 66. Suppose 4*t = -2*h + 54, h + h - 21 = -t. Let r be x(t). Factor 0*c + r - 2/7*c**4 + 2/7*c**3 + 0*c**2.
-2*c**3*(c - 1)/7
Let y(f) = f**3 + 3*f**2 - 5*f. Let h be y(-4). Let r be (h/14)/((-4)/(-28)). Factor -2*q**4 + 4*q**3 + 4*q - 6*q**2 - 4*q + 4*q**r.
-2*q**2*(q - 1)**2
Let s(i) be the second derivative of -4/3*i**2 + 1/9*i**4 - 2/9*i**3 + 0 - 49*i. What is z in s(z) = 0?
-1, 2
Let c be (-15)/30*(-4 + 0 + 4). What is m in 4/7*m - 2/7*m**3 + c + 2/7*m**2 = 0?
-1, 0, 2
Let q = -89 - -88. Let a(o) = -35*o**3 - 5*o**2 + 25*o - 15. Let u(v) = -v**3. Let t(j) = q*a(j) + 30*u(j). Find z such that t(z) = 0.
-3, 1
Let d(l) be the third derivative of 5/72*l**4 - 1/360*l**5 - 25/36*l**3 + 0 + 11*l**2 + 0*l. Factor d(z).
-(z - 5)**2/6
Let a(b) be the first derivative of 3/7*b**2 - 3/7*b - 1/7*b**3 - 10. Factor a(u).
-3*(u - 1)**2/7
Find h, given that -2/15*h**4 + 0 + 2/15*h**5 + 0*h - 2/15*h**3 + 2/15*h**2 = 0.
-1, 0, 1
Let l = -31 + 28. Let s(f) = 4*f**2 + 7*f + 13. Let p(w) = -2*w**2 - 3*w - 7. Let i(r) = l*s(r) - 5*p(r). Factor i(q).
-2*(q + 1)*(q + 2)
Factor 2*r - 8*r + 16*r - 9 + 3*r**2 - 4*r.
3*(r - 1)*(r + 3)
Let o be 4310/(-100) - (0 + -2)/4. Let b = 43 + o. Factor -b*y**2 - 2/5*y + 2/5*y**3 + 2/5.
2*(y - 1)**2*(y + 1)/5
Let c(v) = -2*v + 39. Let t be c(10). Factor 5*u**2 + t*u**2 - 29*u**2 + 20.
-5*(u - 2)*(u + 2)
Let k(u) = u**5 - u**3 - u**2. Let y(g) = 8*g**3 + 2*g**5 + 11*g**5 - 6*g**4 - 4*g**5 - 26*g**3 + 9*g. Let a(f) = -6*k(f) + y(f). Suppose a(q) = 0. What is q?
-1, 0, 1, 3
Let n(y) be the first derivative of -2*y**6/15 + 6*y**5/25 + 7*y**4/10 - 8*y**3/5 + 4*y**2/5 - 71. Solve n(z) = 0.
-2, 0, 1/2, 1, 2
Let p(j) = -j**2 + 2*j + 3. Let i be 42/105 + ((-4)/10)/1. Let f be p(i). Factor -r - 4/5*r**2 - 1/5*r**f - 2/5.
-(r + 1)**2*(r + 2)/5
Let d(r) be the second derivative of -r**5/40 + 7*r**4/24 - r**3/2 - r + 10. Let d(t) = 0. What is t?
0, 1, 6
Let i(q) = q**3 - 80*q**2 + 1377*q - 45. Let o be i(25). Suppose 0 + 1/4*g**o + 0*g + 0*g**2 - g**3 + 0*g**4 = 0. Calculate g.
-2, 0, 2
Let c be -19 - -20 - (0 - 1). Let m(y) = y**2 - 6*y + 8. Let n be m(c). Factor 0*a**2 + 4/3*a - 1/3*a**4 + n - a**3.
-a*(a - 1)*(a + 2)**2/3
Suppose -3 - 51/2*a - 21/2*a**2 + 12*a**3 = 0. What is a?
-1, -1/8, 2
Let s be (-7)/42*-1*0. Let x(h) be the third derivative of -3*h**2 + 1/40*h**4 + s*h + 0 + 0*h**3 - 1/100*h**5. Factor x(p).
-3*p*(p - 1)/5
Let m be 7/51*(-16)/(-504). Let f = m + 443/3672. Factor -1/8 - f*j**2 + 1/4*j.
-(j - 1)**2/8
Let z = 62 + -56. Let i be z - (-4)/(-8)*4. Determine p, given that 2/19*p**3 + 0*p**2 + 0*p + 0 + 2/19*p**i = 0.
-1, 0
Factor -4/5*q**2 + 24/5*q + 64/5.
-4*(q - 8)*(q + 2)/5
Suppose -5*i + 22 = -2*g, 62*g - 65*g = -3*i + 15. Factor -t**2 + 1/2*t**5 + 5/2*t - 3*t**3 + 3/2 - 1/2*t**i.
(t - 3)*(t - 1)*(t + 1)**3/2
Factor 91/9*d + 10 + 1/9*d**2.
(d + 1)*(d + 90)/9
Let v be 196/(-84) - 1/6*-2. Let k(z) = -16*z**4 - 28*z**3 - 8*z**2 + 4*z + 9. Let w(j) = j**4 + j**3 - 1. Let i(q) = v*k(q) - 18*w(q). Factor i(c).
2*c*(c + 1)*(c + 2)*(7*c - 2)
Let y(n) be the first derivative of -n**6/6 - n**5/5 + 3*n**4/2 + 4*n**3/3 - 4*n**2 + 45. Factor y(f).
-f*(f - 2)*(f - 1)*(f + 2)**2
Let y be (1 - 2)/((-499)/1497). Factor -96/5*x**2 - 64/5*x**y - 36/5*x - 4/5.
-4*(x + 1)*(4*x + 1)**2/5
Let w(h) be the third derivative of h**5/270 - 2*h**4/27 + h**2 - 2*h. Factor w(v).
2*v*(v - 8)/9
Let u be (0 - 170/(-25)) + 0 + -6. Factor -2/5*t**3 + 8/5*t - 3/5*t**2 - u + 1/5*t**4.
(t - 2)*(t - 1)**2*(t + 2)/5
Let n be (-141)/188*(0 - 2/36). Let l(w) be the third derivative of -n*w**4 - 4*w**2 - 1/60*w**5 + 0 + 0*w - 1/360*w**6 - 1/18*