= 2*n**2 + 7*n + 3. Let a = -17 + 34. Let s(c) = 6*c**2 + 21*c + 9. Let b(h) = a*g(h) - 6*s(h). Factor b(k).
-(k + 3)*(2*k + 1)
Suppose -c - 4*r + 0*r - 4 = 0, 18 = 3*c - 3*r. Let f(t) be the second derivative of 77/24*t**c + 0 + 8/3*t**3 + t**2 - t + 49/40*t**5. Factor f(w).
(w + 1)*(7*w + 2)**2/2
Let 1 - 12*t**3 - 28*t**2 + 13 + 2 = 0. What is t?
-2, -1, 2/3
Let x(p) = 8*p + 7*p + 0*p**2 - 3 - 3*p**2. Let o(n) = 3*n**2 - 14*n + 2. Let q(i) = -3*o(i) - 2*x(i). Factor q(w).
-3*w*(w - 4)
Let h(v) be the third derivative of 0*v + 1/105*v**7 - 1/210*v**6 - v**2 + 0*v**3 + 0*v**4 + 0*v**5 + 0. Let h(x) = 0. What is x?
0, 2/7
Let c(z) be the first derivative of -z**3 + 2. Factor c(p).
-3*p**2
Let s = 22 + -22. Let m(z) be the third derivative of 0*z - 2*z**2 - 1/60*z**5 + 0 + s*z**4 + 1/6*z**3. Factor m(k).
-(k - 1)*(k + 1)
Let o(w) be the second derivative of w**6/30 + w**5/3 + w**4/2 - w**3/3 + 8*w. Let g(u) be the second derivative of o(u). Determine r, given that g(r) = 0.
-3, -1/3
Suppose 2*n = 3*n - 2. Find j, given that -4*j**3 - n + 2 - 2*j**3 + 3*j**4 + 3*j**2 = 0.
0, 1
Let i be (-4)/(-6) - (-80)/(-30). Let y be (-8)/(-20) + i + 2. Factor -6/5*x**2 - 6/5*x - y - 2/5*x**3.
-2*(x + 1)**3/5
Let z(r) be the third derivative of -r**6/360 - r**5/30 - r**4/8 + 7*r**3/6 - r**2. Let x(v) be the first derivative of z(v). Factor x(j).
-(j + 1)*(j + 3)
Let y(h) be the third derivative of -h**5/750 + h**4/300 + 2*h**3/75 + 17*h**2. Factor y(q).
-2*(q - 2)*(q + 1)/25
Let j(u) = u**3. Let a(y) = -7*y**3 - 12*y**2 + 18*y. Let x(v) = -2*a(v) - 18*j(v). Factor x(i).
-4*i*(i - 3)**2
Let k(g) be the second derivative of -g**4/54 - 22*g. Let k(s) = 0. What is s?
0
Let m(w) be the first derivative of 0*w + 0*w**2 - 1/21*w**6 + 2 - 6/35*w**5 - 2/21*w**3 - 3/14*w**4. Determine f, given that m(f) = 0.
-1, 0
Let o = -300 + 2704/9. Find p, given that 0*p + 0*p**2 + o*p**4 + 2/9*p**3 + 2/9*p**5 + 0 = 0.
-1, 0
Suppose 3/4*j**4 + 0*j + 3*j**5 - 3*j**3 - 3/4*j**2 + 0 = 0. Calculate j.
-1, -1/4, 0, 1
Suppose -2*d + 8 = -0*d + 2*k, 2*k = 8. Let a(h) be the third derivative of 0 + d*h - h**2 + 1/20*h**5 + h**3 + 3/8*h**4. Factor a(b).
3*(b + 1)*(b + 2)
Let v = 148 + -146. Factor 3/4*g**3 + 0*g - 3/4*g**5 + 3/4*g**4 + 0 - 3/4*g**v.
-3*g**2*(g - 1)**2*(g + 1)/4
Let x(m) be the third derivative of -m**7/70 + m**6/10 - m**5/4 + m**4/4 + 9*m**2. Factor x(v).
-3*v*(v - 2)*(v - 1)**2
Let j(w) = -w**3 + w**2 + w. Let n(m) = -8*m**3 - 24*m**2 + 36*m. Let t(x) = 4*j(x) - n(x). Factor t(s).
4*s*(s - 1)*(s + 8)
Suppose 1 + 11 = 4*i. Suppose -11 = -4*n - i. Factor 16*d**3 - 18*d**n - 3*d**4 - 3 - 3 + 5 + 8*d - 2*d**4.
-(d - 1)**3*(5*d - 1)
Factor -1/4*v**3 + 0 - 1/2*v**2 + 2*v.
-v*(v - 2)*(v + 4)/4
Let n = 7 + -15. Let v be 8/90*(-20)/n. Factor 2/9*y**2 - v*y + 0.
2*y*(y - 1)/9
Let z(v) be the second derivative of 0*v**2 + 0 + 1/5*v**3 + v + 1/4*v**4 + 3/50*v**5. What is j in z(j) = 0?
-2, -1/2, 0
Let q = -13 + 18. Suppose i - 3*a = -6, -a = -q*i + 3*i + 3. Determine f so that 1 + 3 - 17*f**4 - 18*f**i + 18*f + 10*f**2 + 3*f**4 = 0.
-1, -2/7, 1
Let b = 25 + -17. Let o be b/(-3) + 2 - -1. Find d, given that 1/3*d**2 + 0*d + 0 + 1/3*d**3 - o*d**4 - 1/3*d**5 = 0.
-1, 0, 1
Let z(b) be the second derivative of -b**4/30 - b**3/5 - 2*b**2/5 + 2*b. Factor z(m).
-2*(m + 1)*(m + 2)/5
Let z(x) be the second derivative of -2*x**6/15 - 4*x**5/5 - 4*x**4/3 - x. Suppose z(h) = 0. What is h?
-2, 0
Let x be 0*((-6)/(-4) + -1). Let q(w) be the second derivative of x + 1/18*w**4 + 4/3*w**2 - 4/9*w**3 + 3*w. Factor q(r).
2*(r - 2)**2/3
Let s(q) be the first derivative of -5/6*q**2 - 4/9*q**3 - 2/3*q - 1/12*q**4 - 2. Suppose s(r) = 0. What is r?
-2, -1
Let b(a) be the third derivative of -1/60*a**6 + 0*a**3 + 1/12*a**4 + 0*a + 0*a**5 + 0 - 6*a**2. Suppose b(q) = 0. What is q?
-1, 0, 1
Let m be (-3 + 0)*(-28)/21. Let b = 81/4 + -341/20. Determine q so that -2/5*q**2 - b*q**3 + 4/5*q - 2*q**m + 0 = 0.
-1, 0, 2/5
Let l = -7 + 12. What is g in 0 + 1/5*g**l + 6/5*g**3 + 4/5*g**4 + 1/5*g + 4/5*g**2 = 0?
-1, 0
Determine s so that -14 + 6*s + 6 - 52*s**2 + 25*s**2 + 29*s**2 = 0.
-4, 1
Let b(o) be the first derivative of o**4/18 + 4*o**3/27 - 7. Find i, given that b(i) = 0.
-2, 0
Let l = 20 + -20. Let v(y) be the third derivative of -3*y**2 + 1/24*y**3 - 1/840*y**7 + 0 + 1/240*y**6 + 0*y**5 + l*y - 1/48*y**4. Factor v(j).
-(j - 1)**3*(j + 1)/4
Let b(t) be the first derivative of 0*t**3 + 2*t - 1/42*t**4 + 0*t**2 + 2 + 1/35*t**5. Let c(q) be the first derivative of b(q). Factor c(w).
2*w**2*(2*w - 1)/7
Let f(n) = -8*n**2 + 23*n - 12. Let j(d) = -15*d**2 + 45*d - 25. Let q(w) = 5*f(w) - 3*j(w). Factor q(v).
5*(v - 3)*(v - 1)
Let q(b) = -b**3 + 7*b**2 - 1. Let m be q(7). Let a be (-3)/5*1*m. Factor -a - 3/5*g**2 - 6/5*g.
-3*(g + 1)**2/5
Let j(l) be the first derivative of -8/7*l - 314/21*l**3 + 2 + 99/7*l**4 + 44/7*l**2 - 162/35*l**5. Find h such that j(h) = 0.
2/9, 1
Let t(a) be the first derivative of -a**6/6 + 2*a**5/5 + a**4/4 - 2*a**3/3 + 5. Factor t(z).
-z**2*(z - 2)*(z - 1)*(z + 1)
Suppose 2*b = -5*x + 88, -4*x = -0*x - 3*b - 75. Factor -2*s**2 + 0*s**2 + 14*s - x - 2*s.
-2*(s - 3)**2
Let u(d) be the second derivative of -d**5/270 - d**4/108 + 2*d**3/27 - 4*d**2 - d. Let o(y) be the first derivative of u(y). Factor o(g).
-2*(g - 1)*(g + 2)/9
Let y be 24/(-28) - -1 - 140/(-49). Determine p, given that 8/3*p + 2/9*p**y - 4/3*p**2 - 16/9 = 0.
2
Let r(l) = -l - 2. Let j be r(-6). Factor 4*x**3 - 15*x**2 + 2 + j*x**3 - 8*x + 16*x**4 - 3.
(x - 1)*(x + 1)*(4*x + 1)**2
Let f(u) be the second derivative of u**7/630 + u**6/90 + u**5/36 + u**4/36 + 5*u**2/2 - 2*u. Let q(d) be the first derivative of f(d). What is h in q(h) = 0?
-2, -1, 0
Suppose -2/5*g**2 - 4/5 - 6/5*g = 0. What is g?
-2, -1
Let l(b) be the third derivative of b**5/15 + 2*b**4/3 + 8*b**3/3 - 11*b**2. Factor l(z).
4*(z + 2)**2
Let u be (-1)/5 - 3/(-12)*4. Solve 0 - u*m**2 + 1/5*m = 0 for m.
0, 1/4
Let n(q) be the first derivative of -q**4/3 + q**3/3 + q**2/6 - 4. Let n(a) = 0. What is a?
-1/4, 0, 1
Let f(n) = -13*n**3 - 7 + 6*n**3 + 1 - 2*n**2 + 1. Let g(d) be the first derivative of -3*d**4/4 - d**3/3 - 2*d - 1. Let u(r) = -2*f(r) + 5*g(r). Factor u(k).
-k**2*(k + 1)
Suppose -2*h = 2*h - 12. Let i = 51 - 27. Factor 6*q**2 + 4*q + 0*q**3 + 11*q**4 - i*q**h + 3*q**4.
2*q*(q - 1)**2*(7*q + 2)
Let n(s) be the first derivative of s**4/24 - s**3/3 + s**2 - s + 6. Let h(d) be the first derivative of n(d). Factor h(t).
(t - 2)**2/2
Let l(t) be the first derivative of t**5/15 - 5*t**4/6 + 4*t**3 - 9*t**2 + 9*t - 23. Find y, given that l(y) = 0.
1, 3
Let r(j) = 2*j + 28. Let i be r(-13). Let 0*c + 0 + 0*c**i - 2/7*c**3 = 0. What is c?
0
Let u be 1/((-16)/60) + 6. Find m, given that -1/4*m**2 - u - 3/2*m = 0.
-3
Let y(w) be the first derivative of -w**4/4 - 2*w**3/3 - 3. Factor y(t).
-t**2*(t + 2)
Let i(b) be the first derivative of b**4/2 - 2*b**3/3 - 3. Factor i(r).
2*r**2*(r - 1)
Suppose 3*p = -5*n + 32, -3*n + 5*p - 12 = -n. Let o(h) be the second derivative of -2/5*h**2 + 0 + h + 7/30*h**n - 1/3*h**3. Factor o(v).
2*(v - 1)*(7*v + 2)/5
Let i be ((-412)/(-16))/(3/(-4)). Let f = i + 35. What is g in 22/3*g**4 - 28/3*g**3 + 8*g**5 - 8*g**2 + 4/3*g + f = 0?
-1, -1/4, 1/3, 1
Let n(i) be the third derivative of i**7/1680 + i**6/720 - i**5/240 - i**4/48 + i**3/3 - 2*i**2. Let j(y) be the first derivative of n(y). Factor j(l).
(l - 1)*(l + 1)**2/2
Suppose -1 = -u, 2*d = d - 4*u + 10. Solve -d + 9*f - f**3 - 5*f**3 + 3*f**3 = 0 for f.
-2, 1
Let j be ((-1)/(-6))/((-2)/(-10)). Let n(q) be the second derivative of 4*q**2 - 1/20*q**5 - 1/42*q**7 + 2/3*q**3 + 3*q - j*q**4 + 0 + 2/15*q**6. Factor n(c).
-(c - 2)**3*(c + 1)**2
Suppose 2*f + 2 = -n, -3*n + n - 11 = -3*f. Suppose 5*w - 1 - 9 = 0. Determine d, given that f + 3/2*d + 1/2*d**w = 0.
-2, -1
Let u(m) be the third derivative of m**8/168 + m**7/105 - m**6/10 - 2*m**5/15 + 2*m**4/3 + 30*m**2. Factor u(o).
2*o*(o - 2)*(o - 1)*(o + 2)**2
Let k be (-2)/(-6)*(1 - -2). Let f = 1 + k. Factor h**3 - 6*h - 98*h**5 - 140*h**4 + 5*h**3 - 2*h + 40*h**f.
-2*h*(h + 1)**2*(7*h - 2)**2
Let w(v) be the second derivative of -1/40*v**6 - 1/2*v**2 + 1/30*v**5 + 0 + 0*v**4 + 0*v**3 + 2*v. Let f(z) be the first derivative of w(z). Factor