-3*r**3 - 6*r**2 + 2*r + 5. Let z(t) = -d(t) - 5*i(t). Factor z(m).
3*m*(m + 1)**2
Let p(b) = -b**3 - 2*b**2 - 6. Let g(c) = 0*c**3 - 5 - 4*c**2 - 2*c**3 - 8. Suppose -f = -4*f - 18. Let t(h) = f*g(h) + 13*p(h). Factor t(q).
-q**2*(q + 2)
Let q be 38/(-36)*3/(-2). Let s = q - 5/4. Factor 2/3 - 1/3*h**2 - s*h.
-(h - 1)*(h + 2)/3
Let w = 29 + -41. Let i be 0*3/w*-2. Factor 4/5*x + i + 6/5*x**2.
2*x*(3*x + 2)/5
Let p be (-2)/(-10) + (-42)/(-15). Let w(k) be the third derivative of 0*k - 1/240*k**5 - 1/96*k**4 + 0 + k**2 + 0*k**p. Factor w(o).
-o*(o + 1)/4
Let u = -8/3 + 35/12. Factor 0*f + 0 - u*f**2 - 1/4*f**4 + 1/2*f**3.
-f**2*(f - 1)**2/4
Let i(g) be the first derivative of -3*g**3 - 3*g**2 + 1 + 0*g - 3/4*g**4. Factor i(a).
-3*a*(a + 1)*(a + 2)
Let h(n) = -15*n**3 - 18*n**2 - 9*n + 33. Let g(p) = 7*p**3 + 12*p**2 + 7*p - 16 - 3*p - 3*p**2. Let c(i) = 9*g(i) + 4*h(i). Factor c(t).
3*(t - 1)*(t + 2)**2
Suppose 5*d = -5*y + 15, -3*y + 3 = -0. Let b(v) be the first derivative of 1/6*v**3 + 1/2*v**d + 2 + 0*v. Find u, given that b(u) = 0.
-2, 0
Let v(h) = h**2 + h + 1. Let m(k) = 6*k**2 + 6. Let c(o) = o**2 + o. Let a(z) = -2*c(z) - m(z). Let x(p) = -a(p) - 6*v(p). Find t such that x(t) = 0.
0, 2
Let f(v) be the third derivative of v**7/2940 - v**6/1260 - v**5/420 + v**4/84 + 2*v**3/3 + v**2. Let l(c) be the first derivative of f(c). Factor l(d).
2*(d - 1)**2*(d + 1)/7
Let s(p) be the second derivative of p**6/540 - p**5/60 + p**4/18 + p**3/2 - 2*p. Let u(w) be the second derivative of s(w). Factor u(f).
2*(f - 2)*(f - 1)/3
Suppose 5*k - u - 32 = 0, 2*k - 7 - 1 = 2*u. Suppose -4*t + k*t = 12. Solve 2*o**2 + 3*o**2 - 3*o**2 + t*o = 0 for o.
-2, 0
Let x(l) be the third derivative of -5*l**8/84 - 5*l**7/42 - l**6/24 - 11*l**2. Factor x(b).
-5*b**3*(b + 1)*(4*b + 1)
Let u(q) = q**3 - 1. Let g(z) = 9*z**3 + 3*z**2 + 2*z - 8. Let m(n) = -3*g(n) + 24*u(n). Factor m(d).
-3*d*(d + 1)*(d + 2)
Let v(w) = -7*w - 14. Let s be v(-2). Factor -3/7*j**4 - 3/7*j**5 + s*j + 3/7*j**2 + 3/7*j**3 + 0.
-3*j**2*(j - 1)*(j + 1)**2/7
Let t(s) = s**5 + s**4 - s**3 - 1. Let x(f) be the third derivative of f**8/336 + 2*f**5/15 + 7*f**4/24 - f**2. Let a(q) = 2*t(q) - x(q). Factor a(i).
(i - 2)*(i + 1)**4
Let x be -1*(9/(-3) - -2). Factor 6*h - x - 3*h**2 + 3 - 3*h + 4.
-3*(h - 2)*(h + 1)
Let o(c) = -c + 8. Let m be o(7). Let l = 2 + m. Suppose -17*w**2 + 30*w**2 + 48*w + 8 + 14*w**2 + 15*w**2 - 98*w**l = 0. Calculate w.
-2/7, 1
Let r(y) be the second derivative of 2*y**6/75 + y**5/5 + 2*y**4/5 - 8*y**3/15 - 16*y**2/5 - y. Determine f so that r(f) = 0.
-2, 1
Let s(f) be the first derivative of f**4/12 + 2*f**3/9 + f**2/6 - 1. Factor s(m).
m*(m + 1)**2/3
Let t(h) be the third derivative of h**7/105 + h**6/60 - h**5/15 - 9*h**2. Suppose t(i) = 0. Calculate i.
-2, 0, 1
Let k(z) = z**3 - z**2 + z - 1. Let f be k(0). Let h be 4 - 4*f/(-2). Factor j**2 + 3 + 7*j**h - j + 19*j + 1.
2*(j + 2)*(4*j + 1)
Suppose 0*n - 2*n + 17 = 3*l, -4*n = 4*l - 28. What is b in -1/3*b**2 - 3/2*b**l - 7/6*b**4 + 0 + 0*b = 0?
-1, -2/7, 0
Let p(r) = 6*r**3 - r**2 + r - 1. Let d be p(1). Suppose -2*y + 3*y = d*z - 7, -z + 4*y = 10. Factor 2/9*f**z + 4/9*f + 2/9.
2*(f + 1)**2/9
Let m(y) be the first derivative of -2*y**5/45 - 5*y**4/18 - 16*y**3/27 - 4*y**2/9 + 37. Determine q so that m(q) = 0.
-2, -1, 0
Let o(b) be the first derivative of -3*b**5/20 - b**4/2 - b**3/2 + 4*b - 1. Let l(t) be the first derivative of o(t). Suppose l(w) = 0. What is w?
-1, 0
Factor -2/9*r**3 - 2/9*r**5 + 0 + 0*r**2 - 4/9*r**4 + 0*r.
-2*r**3*(r + 1)**2/9
Let x(b) be the second derivative of -1/7*b**2 + 2/21*b**3 - 1/42*b**4 - 2*b + 0. Factor x(q).
-2*(q - 1)**2/7
Let b(h) be the first derivative of 1/6*h**3 + 0*h - 1/6*h**2 - 1/30*h**5 + 0*h**4 + 2. Factor b(f).
-f*(f - 1)**2*(f + 2)/6
Let g(d) be the third derivative of 0 + d**2 - 1/120*d**6 + 1/120*d**4 - 1/300*d**5 + 0*d**3 - 1/350*d**7 + 0*d. Find z such that g(z) = 0.
-1, 0, 1/3
Let i(r) = -3*r - 1. Let t be i(-1). Let s(p) = p. Let l be s(2). Factor -t*n**l + 2*n**2 - n**2.
-n**2
Let k(i) = i**4 - i**3 + i**2 + 1. Let n(w) = -3*w**3 + 21*w**2 - 24*w + 12. Let y(b) = -3*k(b) + n(b). Solve y(j) = 0 for j.
-3, 1
Let n(m) be the first derivative of 4*m**3/3 - 2*m**2 + 7. Factor n(z).
4*z*(z - 1)
Suppose 0*p**4 + 4*p**4 - 4*p**2 + 19*p**3 - 21*p**3 + 2*p**5 = 0. What is p?
-2, -1, 0, 1
Let n = 408 + -406. Let -4/7*q**3 - 2/7*q**n + 0*q - 2/7*q**4 + 0 = 0. What is q?
-1, 0
Let d(t) be the third derivative of t**7/420 - t**6/540 - t**3/6 - 5*t**2. Let b(x) be the first derivative of d(x). Let b(o) = 0. What is o?
0, 1/3
Suppose 0 = -2*n + 5*n - 54. Solve -4*b**2 + n*b - 4*b**4 + 10*b**3 - 18*b = 0.
0, 1/2, 2
Let q(i) be the second derivative of 1/2*i**2 + 1/48*i**4 + 1/240*i**5 - 2*i + 1/24*i**3 + 0. Let s(g) be the first derivative of q(g). Factor s(t).
(t + 1)**2/4
Let i be 3/(-3)*(0 - 0). Suppose 5*v + i - 15 = 0. Factor 10/7*s + 2*s**2 + 6/7*s**v + 2/7.
2*(s + 1)**2*(3*s + 1)/7
Determine q, given that -6*q**4 + 3*q**4 - 2*q**2 + q + 2*q - 3*q**3 + 5*q**2 = 0.
-1, 0, 1
Let i = 64 + -60. Find y such that 0 + 4/3*y**2 - 4/3*y**i - 2/3*y**5 + 2/3*y + 0*y**3 = 0.
-1, 0, 1
Suppose -11 = -5*p + n, 0*p + 4*p - n = 9. Let g(q) = -q**3 + 4*q**2 + q - 2. Let y be g(4). Factor -2*i**3 + 0*i**3 - p*i**y + 0*i**3.
-2*i**2*(i + 1)
Let x(h) be the first derivative of h**8/1120 - h**7/240 + h**6/144 - h**5/240 + h**3 + 1. Let p(n) be the third derivative of x(n). Factor p(z).
z*(z - 1)**2*(3*z - 1)/2
Let u(t) be the second derivative of 0*t**3 - 1/21*t**7 + 0*t**4 + 2/5*t**6 + 0 - 11*t + 0*t**2 - 9/10*t**5. Factor u(w).
-2*w**3*(w - 3)**2
Let u(k) be the third derivative of -1/300*k**6 + 0*k**3 + 0 + 7*k**2 - 1/30*k**4 - 1/50*k**5 + 0*k. Let u(y) = 0. What is y?
-2, -1, 0
Let p be (-5 - (-99)/20)/(2/(-16)). Solve p*n**5 + 4/5*n - 2/5*n**2 + 0 + 2/5*n**4 - 6/5*n**3 = 0 for n.
-2, -1, 0, 1
Let s be 4*1 + -4 + 2. Suppose -3*w + 4*w = s. Solve 11*u + 2*u**3 - 8*u**w + 0*u**3 - 3*u = 0 for u.
0, 2
Suppose -3 = 4*f - 23, 4*r = f - 5. Let k be 56/66 - (-10)/(-55). Factor -k*j**4 - 2/3*j**2 + 0 - 4/3*j**3 + r*j.
-2*j**2*(j + 1)**2/3
Let s(j) be the second derivative of j**5/50 + j**4/10 - j**3/15 - 3*j**2/5 - 44*j. Factor s(x).
2*(x - 1)*(x + 1)*(x + 3)/5
Suppose 0 = -0*c + 5*c - 40. Suppose -4*m = 2*j + 10, 0 = 2*j - 5*m - 18 - c. Suppose 1/2 - 1/2*p**2 - p**j + p = 0. Calculate p.
-1, -1/2, 1
Let h(o) be the first derivative of 18*o**5/55 + 15*o**4/22 - 8*o**3/11 - 12*o**2/11 + 7. What is d in h(d) = 0?
-2, -2/3, 0, 1
Let r = 4 - 2. Let c(z) be the second derivative of -1/18*z**3 - 1/9*z**4 + 0*z**2 + 0 + 1/60*z**5 + 2/45*z**6 + r*z. Suppose c(t) = 0. Calculate t.
-1, -1/4, 0, 1
Let h be (-4)/(-5) - (-5)/25. Let z(p) be the first derivative of -4/3*p**3 + 0*p - h + 11/4*p**4 - 2*p**2 - 3/2*p**6 + 6/5*p**5. Solve z(r) = 0 for r.
-2/3, 0, 1
Let i(s) be the third derivative of s**8/112 - s**6/20 + s**4/8 + 15*s**2. Factor i(f).
3*f*(f - 1)**2*(f + 1)**2
Let f(y) = -8*y - 30 + 4 + 5*y**2 + 0 + 15*y**2. Let b(c) = -7*c**2 + 3*c + 9. Let h(x) = 14*b(x) + 5*f(x). Let h(s) = 0. Calculate s.
-2, 1
Let h = -9/37 + 1766/111. Let w = -185/12 + h. Find z such that -w*z + 1/4*z**2 + 0 = 0.
0, 1
Suppose -31*q = 30 - 92. Factor -4/3 + 4/3*x**3 + x**q + 1/3*x**4 - 4/3*x.
(x - 1)*(x + 1)*(x + 2)**2/3
Suppose 4 = -4*s + 16. Suppose 2*n = n + s. Find x, given that 3 + x**5 + x + 0*x**4 - 2*x**n - 2 - 2*x**2 + x**4 = 0.
-1, 1
Determine v, given that 1/2*v + 0 - 1/2*v**2 = 0.
0, 1
Let m = -43 + 46. Factor 0*b**m + 0*b - 1/2*b**5 + 1/2*b**4 + 0 + 0*b**2.
-b**4*(b - 1)/2
Let h(a) be the first derivative of a**6/1980 - a**5/132 + a**4/33 + 7*a**3/3 + 7. Let w(l) be the third derivative of h(l). Solve w(i) = 0.
1, 4
Let h be ((-10)/8)/(12/(-48)). Let x(k) be the third derivative of k**2 + 0*k + 0 + 0*k**h + 0*k**4 + 0*k**3 + 1/60*k**6. Determine w so that x(w) = 0.
0
Let w(o) be the third derivative of -o**5/12 + 5*o**4/24 - o**2. Factor w(b).
-5*b*(b - 1)
Let q(w) = -w - 3. Let u be q(-5). Factor -3 - z**2 + 2*z**3 + 3*z - 5*z**3 + 4*z**2 + 0*z**u.
-3*(z - 1)**2*(z + 1)
Let a(f) be the third derivative of f**7/1260 - f**6/240 + f**5/120 - f**4/144 + 12*f**2. Factor a(d).
d*(d - 1)**3/6
Let l(o) be the second derivativ