**2 + 5*a - 4. Let u be g(l). Solve 6/5*q**3 + 2*q**4 + 4/5 - 6/5*q - 14/5*q**u = 0 for q.
-1, 2/5, 1
Let n(h) = -2*h - 19. Let q be n(-11). Find s such that s**2 + 1 - 7*s - s - q*s**2 - 9 = 0.
-2
Suppose 2*r - 6 = -4*x, -8 = 3*x + 5*r - r. Suppose -14 = -2*t + x. Factor -4*k**3 - 2*k**3 - 3*k + t*k**2 - k**3 - 2*k**3 + 3*k**4.
3*k*(k - 1)**3
Let r(c) be the third derivative of 0*c - c**2 - 1/8*c**4 + 1/20*c**5 + 0*c**3 + 0. Let r(p) = 0. What is p?
0, 1
Let w(i) be the third derivative of i**9/272160 + i**8/45360 - i**7/22680 - i**6/1620 + i**5/30 + i**2. Let k(u) be the third derivative of w(u). Factor k(v).
2*(v - 1)*(v + 1)*(v + 2)/9
Factor 3/7*b**2 + 12/7 - 15/7*b.
3*(b - 4)*(b - 1)/7
Let u(h) be the third derivative of 5*h**8/336 + 2*h**7/21 + h**6/12 - h**5/3 - 5*h**4/8 + 54*h**2. Factor u(j).
5*j*(j - 1)*(j + 1)**2*(j + 3)
Let y(b) = b**3 + 6*b**2 + 5*b + 3. Let a be y(-5). Let v = 5 - a. Let 3*c**3 + v*c**2 - 4*c**3 + 0*c**2 = 0. Calculate c.
0, 2
Suppose 4*t**3 - t**3 - 3*t - 4*t**2 - 5*t**3 + t**3 = 0. What is t?
-3, -1, 0
Let k(w) be the first derivative of -2*w**3/9 - 10*w**2/3 - 50*w/3 + 3. Factor k(g).
-2*(g + 5)**2/3
Let x(o) = 25*o**2 - 80*o + 110. Let b(t) = 8*t**2 - 27*t + 37. Let k(y) = 10*b(y) - 3*x(y). Factor k(g).
5*(g - 4)*(g - 2)
Let i = -85/4 + 22. Let 0*a + 3/4*a**2 + 0 - i*a**3 = 0. Calculate a.
0, 1
Let m(h) = -h**3 + 6*h**2 + h - 4. Let k be m(6). Let q + 5*q**3 - 3*q**2 + 0*q**3 + k + q**4 - 6*q**3 = 0. What is q?
-1, 1, 2
Suppose -60*a**4 - 14 + 60*a**2 - 25*a**5 + 5*a**3 - 11 + 20*a + 25 = 0. What is a?
-2, -1, -2/5, 0, 1
Let y = 21 - 18. Let i(q) be the first derivative of 1/4*q + 1/12*q**y - 1 + 1/4*q**2. Factor i(z).
(z + 1)**2/4
Let h = 61/21 + -18/7. Let r(w) be the first derivative of h*w**2 - 1/6*w**4 - 2/3*w + 2/9*w**3 + 1. Factor r(b).
-2*(b - 1)**2*(b + 1)/3
Let n = -10 - -15. Let o(c) be the second derivative of 1/12*c**4 + 1/6*c**3 - 1/20*c**n + 0 + 2*c - 1/2*c**2. What is v in o(v) = 0?
-1, 1
Let k(g) = -2*g**5 + g**4 - 3*g**3 - 3*g**2 + 3*g + 3. Let q = -13 - -10. Let i(m) = -m**5 - m**3 - m**2 + m + 1. Let s(y) = q*i(y) + k(y). Factor s(o).
o**4*(o + 1)
Let c be (-4)/(-72)*6 + 22/6. Let s(u) be the second derivative of u + 0 + 7/16*u**c + 5/8*u**3 - 3/4*u**2. Factor s(g).
3*(g + 1)*(7*g - 2)/4
Let w(q) be the first derivative of -q**7/350 - 3*q**6/200 + q**4/10 + q**2 - 1. Let n(x) be the second derivative of w(x). Factor n(u).
-3*u*(u - 1)*(u + 2)**2/5
Suppose -3*d + 4*d = -1. Let f(c) = 5*c**3 - 27*c**2 + 40*c - 16. Let s(y) = -y**3 + y**2. Let w(i) = d*s(i) + f(i). Suppose w(b) = 0. Calculate b.
2/3, 2
Let -3/5*w**2 + 3/5*w**3 - 12/5*w + 12/5 = 0. Calculate w.
-2, 1, 2
Let j(u) = -31*u**4 - 118*u**3 - 155*u**2 - 80*u - 8. Let s(r) = r**4 + r**3 - r**2 - r - 1. Let m(y) = j(y) + 4*s(y). Determine v so that m(v) = 0.
-2, -1, -2/9
Let y(z) be the first derivative of 3*z**2 + 2/5*z**5 - 3/2*z**4 - 4*z + 2/3*z**3 - 1. Factor y(f).
2*(f - 2)*(f - 1)**2*(f + 1)
Suppose -w + 0 = -14. Find n, given that 18*n - 22*n**3 - w*n - 12*n**5 + 32*n**4 - 2*n**3 = 0.
-1/3, 0, 1
Let b(h) be the third derivative of 2/21*h**4 + h**2 + 1/420*h**6 + 0 + 0*h + 4/21*h**3 + 1/42*h**5. Factor b(p).
2*(p + 1)*(p + 2)**2/7
Let x = 2 - -3. Suppose -t + 2 = 2*t - 4*q, -x*t = -q - 9. Find g, given that -2/9*g**3 + 0*g + 0 + 4/9*g**t - 2/9*g**4 = 0.
-2, 0, 1
Let q(i) be the third derivative of -1/4*i**3 + 0*i - 4*i**2 + 0 - 1/40*i**5 + 1/8*i**4. Find n such that q(n) = 0.
1
Let h(q) be the third derivative of 0*q**4 - 1/540*q**6 + 0*q**5 - 1/1512*q**8 + 4*q**2 + 0*q**3 + 0 + 0*q + 2/945*q**7. What is m in h(m) = 0?
0, 1
Let s(n) be the third derivative of -1/160*n**6 + 1/32*n**4 - 4*n**2 + 0 - 1/24*n**3 - 1/240*n**5 + 0*n + 1/420*n**7. Factor s(t).
(t - 1)**2*(t + 1)*(2*t - 1)/4
Let p = -25 - -1. Let b = 26 + p. Let -1/2*m**3 + 1/4*m**4 + 0*m + 0 + 1/4*m**b = 0. What is m?
0, 1
Let v be -4*(12/42 + (-33)/42). Factor -2/7*l**3 - 24/7*l + 16/7 + 12/7*l**v.
-2*(l - 2)**3/7
Let p = 23/48 + 1/48. Let 0*d**3 + 0*d + p*d**4 + 0 + 0*d**2 = 0. Calculate d.
0
Let h = 19/28 + -3/7. Factor 0 + 5/4*y**2 - 1/2*y - 3/4*y**3 - 1/4*y**4 + h*y**5.
y*(y - 1)**3*(y + 2)/4
Let c(o) = -o**2 + o + 1. Suppose 0*q + 5*q + 50 = 0. Let r(x) = -2*x**2 + 7*x + 5. Let d(j) = q*c(j) + 2*r(j). Factor d(i).
2*i*(3*i + 2)
Let n(m) be the third derivative of m**5/450 - m**3/45 - 2*m**2. Factor n(u).
2*(u - 1)*(u + 1)/15
Factor 6*o + 5*o**2 + 2 + 4*o + 0*o**2 + 3*o**2.
2*(o + 1)*(4*o + 1)
Suppose 2*f - 6 = 0, 3*f - 6*f = -2*g + 55. Let -1/3*m**4 - 16/3*m**3 - 256/3*m - 256/3 - g*m**2 = 0. What is m?
-4
Let 5 + 0 - 17 + 3*q**2 = 0. What is q?
-2, 2
Let j(l) = -254*l**3 - 300*l**2 - 120*l - 20. Let a be 6/4 - 2/4. Let n(v) = -v**3 - 1 + 0*v**2 + 0*v**2. Let u(o) = a*j(o) - 4*n(o). Factor u(s).
-2*(5*s + 2)**3
Let v(i) = -7 + 2*i**3 + 7 - 8*i**2 - 2*i. Let u(o) = o**3 - 5*o**2 - o. Let g(f) = -8*u(f) + 5*v(f). Factor g(b).
2*b*(b - 1)*(b + 1)
Let n(r) be the second derivative of r**7/105 - 2*r**5/25 + r**4/15 + r**3/5 - 2*r**2/5 + 2*r. Factor n(g).
2*(g - 1)**3*(g + 1)*(g + 2)/5
Suppose 5*g + 4*i = 4*g - 11, 18 = -4*g - 3*i. Let c = 5 + g. Find t, given that 1/4*t + 0*t**c + 0 - 1/4*t**3 = 0.
-1, 0, 1
Let k(d) be the first derivative of d**4/16 + 6. Find b, given that k(b) = 0.
0
Let c = -13 - -17. Suppose 0 = d + 2*a, 3*d + 2*a = -0*d. Factor -h**c - 2*h**2 - 5/2*h**3 + d - 1/2*h.
-h*(h + 1)**2*(2*h + 1)/2
Let i = -9 - -13. Let r be (((-2)/3)/(-2))/1. Find l, given that -1/3*l**5 - r*l**2 + 0*l + 0 + 1/3*l**i + 1/3*l**3 = 0.
-1, 0, 1
Suppose 0*t = 2*t + 10. Let f be 0 + (-3 - -2 - t). Solve -4/9*k + 0*k**2 - 2/9 + 4/9*k**3 + 2/9*k**f = 0 for k.
-1, 1
What is i in -i**2 - 2/3*i + 1/3 = 0?
-1, 1/3
Let g(c) be the second derivative of c**6/40 - 3*c**5/20 + 5*c**4/16 - c**3/4 - 5*c. Factor g(k).
3*k*(k - 2)*(k - 1)**2/4
Find v, given that 2*v**3 + 15*v**5 - 13*v**5 - 2*v - 4*v**4 + 2*v = 0.
0, 1
Determine k, given that 1/3*k - 1/3*k**2 + 0 = 0.
0, 1
Let r = 179/132 - 14/11. Let c(j) be the third derivative of 0*j + r*j**4 - j**2 + 0 - 1/60*j**6 + 0*j**5 + 0*j**3. Factor c(p).
-2*p*(p - 1)*(p + 1)
Factor 30/7*g**2 - 150/7*g + 250/7 - 2/7*g**3.
-2*(g - 5)**3/7
Let x(i) = 10*i**4 + 30*i**3 + 32*i**2 + 18*i + 6. Let v(n) = n**5 + n**4 - n**3 - 1. Let a(t) = 2*v(t) + x(t). Factor a(j).
2*(j + 1)**4*(j + 2)
Factor 2/13*i**3 + 0*i**2 + 0 + 2/13*i**4 + 0*i.
2*i**3*(i + 1)/13
Let h(u) be the second derivative of -18*u**5/5 - 16*u**4 - 85*u**3/3 - 25*u**2 + 2*u. Factor h(c).
-2*(c + 1)*(6*c + 5)**2
Factor 40*l**2 - 45*l**4 - 15*l**3 + 20*l + 92 - 92.
-5*l*(l - 1)*(3*l + 2)**2
Let x(c) be the third derivative of -c**8/2520 + c**7/630 - c**6/540 + 11*c**3/6 + 6*c**2. Let f(n) be the first derivative of x(n). Solve f(b) = 0.
0, 1
Let j(c) = 8*c**2 + 2*c - 12. Let n(u) = 15*u**2 + 3*u - 23. Let w(r) = -11*j(r) + 6*n(r). Factor w(d).
2*(d - 3)*(d + 1)
Let k(l) = 5 + 3*l - 23*l**2 + 22*l**2 - 7*l. Let g be k(-5). Solve 1/3*b**2 + g*b + 0 + 1/3*b**3 = 0.
-1, 0
Let t(r) be the first derivative of 4*r**3/9 + 2*r**2/3 - 8*r + 1. Factor t(j).
4*(j - 2)*(j + 3)/3
Let m(a) = -a**3 - 3*a**2 + 7*a + 6. Let u be m(-4). Let r = 8 + u. Factor -2*t**r + t**4 - 5*t**4 + 4*t**3 + 0*t**2 + 2*t**4.
-2*t**2*(t - 1)**2
Let d(k) = k + 2 + 5*k**2 + 2 + k. Let v(h) be the second derivative of -h**4/2 - h**3/3 - 5*h**2/2 - 6*h. Let r(q) = -5*d(q) - 4*v(q). Factor r(u).
-u*(u + 2)
Let q(p) = -25*p**5 - 62*p**4 - 26*p**3 + 23*p**2 + p + 3. Let n(t) = -t**4 - t**3 - t + 1. Let c(k) = -14*n(k) + 2*q(k). Factor c(u).
-2*(u + 1)**3*(5*u - 2)**2
Let j(r) be the third derivative of -1/72*r**4 + 0 - 1/180*r**5 + 3*r**2 + 0*r + 0*r**3. Determine f, given that j(f) = 0.
-1, 0
Let x(l) be the third derivative of -l**8/1344 + l**7/210 - l**6/160 - l**5/60 + l**4/24 + 19*l**2. Suppose x(o) = 0. What is o?
-1, 0, 1, 2
Let u(i) be the third derivative of 1/300*i**6 - 1/60*i**4 - 2*i**2 + 0*i**3 + 0 - 1/150*i**5 + 1/525*i**7 + 0*i. Factor u(o).
2*o*(o - 1)*(o + 1)**2/5
Let u(o) = -o - 7. Let i be u(-4). Let p be 1 - ((-6)/i - 5). Solve -2*q**3 + 0*q**4 + 4*q**3 + q**p = 0.
-2, 0
Let i(x) = 9*x**4 - 5*x**3 - 7*x**2 + 5*x - 2. Let o(j) = -j**4 - j**3 + j**2 + j. Let a(v) = 2*i(v) + 6*o(v). Factor a(b).
4*(b - 1)**2*(b 