*i + 41. Let l(a) = -3*a + 2. Let c be l(o). Factor -4 + 46*d - c*d**3 + 104*d**3 - 169*d**2 + 52*d**2 - 6*d.
(d - 1)*(9*d - 2)**2
Factor 2 - 3/2*d**2 + 0*d - 1/2*d**3.
-(d - 1)*(d + 2)**2/2
Let g(h) be the third derivative of -2/21*h**3 + 0*h - 3/70*h**5 + 0 - 7*h**2 - 11/84*h**4. Factor g(o).
-2*(o + 1)*(9*o + 2)/7
Factor 11 + 9*g**3 - 3*g**3 + 9*g**3 - 5*g**4 - 5*g**2 - 15*g - 1.
-5*(g - 2)*(g - 1)**2*(g + 1)
Suppose 4*h = 3*v - 37, 5*h - 5*v + 26 = -8*v. Let k be (1/h)/(14/(-28)). Factor -k*g**4 + 2/7*g**3 - 2/7*g**5 + 2/7*g**2 + 0 + 0*g.
-2*g**2*(g - 1)*(g + 1)**2/7
Let k(v) be the third derivative of -v**5/60 - v**4/2 - 6*v**3 - v**2 - 7. Factor k(z).
-(z + 6)**2
Let z(l) = -l**2 + 6*l. Let u be z(6). Let q be 2 + (-2 - -2 - u). Let 12/5*p**3 + 18/5*p**4 + 0 + 8/5*p**5 + 2/5*p**q + 0*p = 0. What is p?
-1, -1/4, 0
Factor 6*n**2 - 2*n**2 + 144 - n + 49*n.
4*(n + 6)**2
Let u(n) be the first derivative of -n**6/9 - 2*n**5/3 - 7*n**4/6 - 2*n**3/3 + 3. Solve u(q) = 0.
-3, -1, 0
Suppose -6 = -3*f + 3. Suppose -v = -f*v. Factor v - 2/7*k**3 + 0*k + 0*k**2.
-2*k**3/7
Let w(c) = -22*c**2 + 7 + 3 - 7*c + 21*c**2. Let l be w(-8). What is y in -1/2 + y - 1/2*y**l = 0?
1
Let a(l) = -4*l**2 - 2*l + 5. Let j(m) = -5*m**2 - 3*m + 6. Let f(p) = 6*a(p) - 5*j(p). Find t such that f(t) = 0.
-3, 0
Let y be (5 + -2)/(0 + (-6)/(-10)). Let b(v) be the first derivative of 1 + 0*v**3 + 4/35*v**y + 1/21*v**6 + 0*v**2 + 1/14*v**4 + 0*v. Factor b(n).
2*n**3*(n + 1)**2/7
Let u = 2/11 - -3/44. Find s such that -u*s + 0 + 0*s**2 + 1/4*s**3 = 0.
-1, 0, 1
Let d(j) = j**3 + 9*j**2 - 1. Let t be d(-9). Let x(q) = -6*q**2 - 3*q. Let y(g) = -g**2. Let s(f) = t*x(f) + 3*y(f). Let s(h) = 0. What is h?
-1, 0
Let i(l) be the second derivative of l**4/12 + 2*l**3/9 - 7*l**2/6 + 33*l. Suppose i(s) = 0. What is s?
-7/3, 1
Factor -2/17*w**2 - 26/17*w + 0.
-2*w*(w + 13)/17
Let h = 72 - 68. Let a(x) be the first derivative of 1 + 1/6*x**h - 2/9*x**3 + 2/3*x - 1/3*x**2. Factor a(n).
2*(n - 1)**2*(n + 1)/3
Suppose 7*l - 1908 = l. Let s = -2216/7 + l. Let -s*y**2 + 4/7*y + 0 = 0. Calculate y.
0, 2/5
Suppose 2*n = u + 18, 0 = 5*n + 2*u + 3*u - 15. Suppose 5*o - n - 3 = 0. Factor 2*j - 4*j**2 + 2*j**o - 2*j**3 - 3 + 5.
-2*(j - 1)*(j + 1)**2
Factor 2/3 - 5/3*p - 1/3*p**3 + 4/3*p**2.
-(p - 2)*(p - 1)**2/3
Let j(v) be the third derivative of 1/210*v**5 + 0 + 0*v + 2/21*v**3 - v**2 - 1/28*v**4. Factor j(i).
2*(i - 2)*(i - 1)/7
Factor 69*x + 68*x + x**2 - 136*x - 2.
(x - 1)*(x + 2)
Let x(m) be the first derivative of -m**5/10 - m**4/8 - 9. Factor x(s).
-s**3*(s + 1)/2
Factor -4/3*g - 5/3*g**2 - 1/3*g**3 + 0.
-g*(g + 1)*(g + 4)/3
Factor -3/7*r + 3/7*r**2 - 6/7.
3*(r - 2)*(r + 1)/7
Let d(y) = 90*y**4 - 60*y**3 - 51*y**2 - 21*y + 21. Let w(g) = 9*g**4 - 6*g**3 - 5*g**2 - 2*g + 2. Let b(l) = -2*d(l) + 21*w(l). Factor b(a).
3*a**2*(a - 1)*(3*a + 1)
Let v(j) be the third derivative of -j**9/302400 - j**5/20 + 6*j**2. Let t(q) be the third derivative of v(q). Factor t(m).
-m**3/5
Factor 1/3 + 1/3*h**3 + h**2 + h.
(h + 1)**3/3
Let o(g) be the second derivative of -g**7/336 + g**6/60 - g**5/160 - 5*g**4/48 + g**3/12 + g**2/2 - 44*g. Factor o(t).
-(t - 2)**3*(t + 1)**2/8
Let p be 0/((-3 - -2)/(6 - 5)). Let z(k) be the second derivative of -1/3*k**3 + 3*k - 1/12*k**4 + p - 1/2*k**2. Suppose z(h) = 0. What is h?
-1
Let t(d) be the second derivative of -d**9/7056 + d**7/980 - d**5/280 - 4*d**3/3 - 9*d. Let f(o) be the second derivative of t(o). Solve f(c) = 0 for c.
-1, 0, 1
Suppose u - 5*o = 80, 0*u - u = 4*o - 62. Let s be (15/u)/((-3)/(-4)). Determine t so that -2/7*t**5 + 0*t**4 + 4/7*t**3 - s*t + 0*t**2 + 0 = 0.
-1, 0, 1
Let h(u) be the first derivative of u**6/1800 - u**5/300 + u**4/120 + 5*u**3/3 - 4. Let x(l) be the third derivative of h(l). Solve x(q) = 0 for q.
1
Let b be ((-1)/(-12))/(1/4). Let h(j) be the first derivative of -1 - j + b*j**3 + 1/2*j**2 - 1/4*j**4. What is o in h(o) = 0?
-1, 1
Let u(l) be the second derivative of l**4/28 + 3*l. Factor u(h).
3*h**2/7
Let w(i) be the second derivative of -i**5/5 + 2*i**3/3 + 16*i. Let w(j) = 0. What is j?
-1, 0, 1
Let l(v) be the second derivative of -v**4/12 + v**3/18 + v**2/3 + 2*v. Find i such that l(i) = 0.
-2/3, 1
Let u(j) = 6*j**4 + 91*j**3 - 379*j**2 + 571*j - 245. Let o(y) = -y**4 - 18*y**3 + 76*y**2 - 114*y + 49. Let p(f) = -11*o(f) - 2*u(f). Let p(q) = 0. What is q?
1, 7
Let a = -37/42 - -7/6. Factor -2/7*q**5 - a*q**4 + 0 + 6/7*q**3 + 4/7*q + 10/7*q**2.
-2*q*(q - 2)*(q + 1)**3/7
Factor 12*f**2 + 10*f + 3*f**3 + 0*f**3 - 3*f**3 + 3 + f**4 + 6*f**3.
(f + 1)**3*(f + 3)
Let s be (-51)/21 + -5*(-15)/25. Factor s*h + 0 + 2/7*h**2.
2*h*(h + 2)/7
Let w(i) be the first derivative of -i**6/30 - i**5/5 - 5*i**4/12 - i**3/3 - 4*i - 8. Let b(q) be the first derivative of w(q). Factor b(t).
-t*(t + 1)**2*(t + 2)
Factor 0*s**2 + 3/2*s**5 + 27/2*s**3 + 0*s + 0 - 9*s**4.
3*s**3*(s - 3)**2/2
Determine w, given that -5*w**2 + 0*w**2 + 4*w**2 = 0.
0
Let l = 7 + -8. Let o be (-3 - (-3 + -4)) + l. Let 0 - 1/2*k**o - 1/2*k + k**2 = 0. What is k?
0, 1
Suppose 0 = 3*h + 2*f + 3, -15 - 9 = 3*h - 5*f. Let t be (h/((-3)/2))/6. Find n such that 1/3*n - 2/3 + t*n**2 = 0.
-2, 1
Let r be 1/45*4/8. Let n(h) be the second derivative of -r*h**6 - 1/9*h**3 + 1/30*h**5 + 0*h**4 + 1/6*h**2 + 0 - 2*h. Find p, given that n(p) = 0.
-1, 1
Factor 4/11*s + 0 + 6/11*s**2 + 2/11*s**3.
2*s*(s + 1)*(s + 2)/11
Let f(k) be the third derivative of k**8/504 - k**7/315 - k**6/90 + k**5/45 + k**4/36 - k**3/9 - 9*k**2. Factor f(w).
2*(w - 1)**3*(w + 1)**2/3
Let t(a) = a**2 - a - 1. Let l(j) = 6*j**2 - 8*j - 8. Let d(i) = -l(i) + 8*t(i). Factor d(q).
2*q**2
Let p(n) be the first derivative of 1/100*n**5 + 1/20*n**4 + 1/10*n**3 + 3 + 1/10*n**2 - 3*n. Let j(q) be the first derivative of p(q). What is k in j(k) = 0?
-1
Suppose -c = 5*c - 24. Let q(y) be the first derivative of 2 - 1/2*y**c + 0*y + 0*y**3 - 2/5*y**5 + 0*y**2. Determine j, given that q(j) = 0.
-1, 0
Let l(h) = -2*h - 2. Let c be l(-2). Let a(m) be the third derivative of 0*m + 0*m**3 + 0 - c*m**2 + 1/60*m**4 - 1/150*m**5. Solve a(o) = 0 for o.
0, 1
Suppose 13*z - 8*z = 0. Suppose 1/3*n**2 + 2/3*n + z = 0. What is n?
-2, 0
Let r = 19/24 - 1/8. Let v be (-3)/9 + 4/6. Let 0 + v*z**2 + r*z = 0. Calculate z.
-2, 0
Let a(j) be the second derivative of j**6/2520 + j**5/280 + j**4/84 + 5*j**3/6 + 6*j. Let x(y) be the second derivative of a(y). Find c such that x(c) = 0.
-2, -1
Determine q, given that 4/13*q + 8/13*q**3 - 2/13 + 14/13*q**2 = 0.
-1, 1/4
Let n(y) be the first derivative of 0*y - 1/7*y**2 - 4 + 1/21*y**3. Factor n(p).
p*(p - 2)/7
Suppose 7*j + 2*j = -8*j. Factor -3/5*s**4 + j*s + 3/5*s**2 + 0*s**3 + 0.
-3*s**2*(s - 1)*(s + 1)/5
Determine h so that -1/5*h + 0 - h**2 = 0.
-1/5, 0
Let p = -1/246 + 989/1230. Suppose 0 - 2/5*t**3 + p*t + 2/5*t**2 = 0. What is t?
-1, 0, 2
Let c(z) be the second derivative of -z**4 + 6*z**3 - 27*z**2/2 + 13*z. Factor c(w).
-3*(2*w - 3)**2
Let d be (2 - 2)*(-3 - -2). Suppose d*h = -3*h + 15. Find s, given that s**h - 2*s**2 - s**4 + 3*s**4 + s - 2*s = 0.
-1, 0, 1
Suppose -4*f + 22 = 13*i - 10*i, -3*f + 22 = 5*i. Suppose -1/2*q**2 - 17/4*q**3 + 0 - 10*q**4 + 0*q - f*q**5 = 0. What is q?
-2, -1/4, 0
Determine h, given that 9*h**2 - 7*h**2 - 4*h + 1 - 7 = 0.
-1, 3
Let t = -6 - -6. Solve 1/3*o**2 + t + 1/3*o = 0.
-1, 0
Let n = -1 - -4. Let y(u) be the first derivative of 0*u - 2 + 1/3*u**n - 1/2*u**2. Factor y(o).
o*(o - 1)
Factor -3 + 1 - 69*u**2 + 71*u**2 - u + u**3.
(u - 1)*(u + 1)*(u + 2)
Let d(l) = -21*l**2 + 24*l - 3. Let o(h) = h**3 - 20*h**2 + 25*h - 2. Let u(w) = -2*d(w) + 3*o(w). Factor u(s).
3*s*(s - 3)**2
Let b(s) be the second derivative of s**4/3 - 4*s**3/3 - 6*s**2 - 21*s. Factor b(k).
4*(k - 3)*(k + 1)
Let m = 8 + -44/5. Let s = m - -22/15. Suppose 2/3*j**4 + 8/3*j + 8/3*j**3 + 4*j**2 + s = 0. What is j?
-1
Let i(y) be the second derivative of 1/18*y**4 + 2*y + 1/189*y**7 - 1/45*y**6 + 1/90*y**5 - 2/27*y**3 + 0 + 0*y**2. Solve i(u) = 0.
-1, 0, 1, 2
Find d, given that -2*d**2 + 18/5 + 10*d**3 - 42/5*d = 0.
-1, 3/5
Let w(l) be the first derivative of -3*l**6 + 6*l**5 + 5 - 10*l**3 + 0*l**2 + 5/2*l**4 + 8*l. Factor w(z).
-2*(z - 1)**3*(3*z + 2)**2
Factor 0 - 1/2*d**3 + 0*d + d**2.
-d**2*(