2 + 2*t**6/15 - 3*t**5/10 + t**4/3 - t**3/6 + 2*t + 3. Let n(w) be the first derivative of b(w). Factor n(q).
-q*(q - 1)**4
Suppose -28 = d - 7. Let x be 0 - 1 - d/18. Let -x*a - 1/6*a**2 + 1/6*a**3 + 1/6 = 0. Calculate a.
-1, 1
Let j(d) be the third derivative of -d**8/112 + 3*d**7/70 - 3*d**6/40 + d**5/20 + 6*d**2. Suppose j(h) = 0. Calculate h.
0, 1
Let a(o) be the first derivative of -6*o**3/7 - o**2 + 4*o/7 + 11. Factor a(j).
-2*(j + 1)*(9*j - 2)/7
Let d be (-1 - 8/(-5))*5. Determine c, given that -2*c**3 + 9*c**4 - 2*c**3 + 6*c - 9*c**2 + 4*c**d - 3*c**5 - 3*c**3 = 0.
-1, 0, 1, 2
Let q(y) be the first derivative of 0*y + 2/35*y**5 - 3 + 0*y**3 + 0*y**2 - 1/7*y**4. Determine c so that q(c) = 0.
0, 2
Let p(i) be the third derivative of -1/60*i**4 + 0*i**6 - 1/100*i**5 + 0*i + 0*i**3 + 0 - i**2 + 1/1050*i**7. Factor p(b).
b*(b - 2)*(b + 1)**2/5
Factor 0*t**2 + 6*t - t - t**2 + 6*t**2.
5*t*(t + 1)
Let c(k) be the second derivative of k**4/4 - 6*k. Factor c(y).
3*y**2
Let d(a) be the third derivative of -a**2 + 0 + 0*a + 1/3*a**3 - 1/540*a**6 + 0*a**5 + 0*a**4. Let t(v) be the first derivative of d(v). What is j in t(j) = 0?
0
Let c(l) = -l**2 - 3*l. Suppose 4*g - 8*g - 8 = 0. Let b be c(g). Factor 2/9 - 2/9*k**b + 0*k.
-2*(k - 1)*(k + 1)/9
Suppose 86 + 14 = -4*r. Let l = -22 - r. Let 1/4*f**2 - 1/4 + f - f**l = 0. What is f?
-1, 1/4, 1
Let y(l) = 2*l**5 + l**3 - l - 4*l**5 + 1 + 3*l**5. Let h(z) = 2*z**4 - z**3 - 2*z**2 - 1. Let u(d) = -2*h(d) - 2*y(d). What is w in u(w) = 0?
-1, 0, 1
Let -1/5*f**4 - 4/5*f + 0*f**2 + 3/5*f**3 + 0 = 0. Calculate f.
-1, 0, 2
Let v be ((-4)/(-10))/(3 + (-6)/10). Let a(z) be the first derivative of 0*z**2 - 1 + 0*z + v*z**4 + 2/9*z**3. What is o in a(o) = 0?
-1, 0
Let d be (-4)/(-10) + 120/75. Suppose 0 = -4*u + 4*z + 32, d*z = -3*u + 6*u - 19. Factor -1/2*b**2 + 0*b + 0 - 1/2*b**u.
-b**2*(b + 1)/2
Solve -24/7*s**2 - 12/7*s**4 + 48/7*s - 44/7*s**3 + 32/7 = 0 for s.
-2, -2/3, 1
Factor 2*k**4 - 7*k**2 + 10*k**3 + 6*k**2 + 6*k + 15*k**2.
2*k*(k + 1)**2*(k + 3)
Let o be (0 - (-1 + 0))*5. Factor o - 2*j**2 + 2*j**3 - 5.
2*j**2*(j - 1)
Let t(a) = -a**2 + 8*a + 8. Let z(d) = -8*d - 8. Let n = -13 - -9. Let l(p) = n*t(p) - 6*z(p). Factor l(f).
4*(f + 2)**2
Let q be (1 + -3)*4/(-16). What is f in q - 1/4*f - 1/4*f**2 = 0?
-2, 1
Factor 16*h + 151*h**2 + 157*h**2 + 32 - 306*h**2.
2*(h + 4)**2
Let o be -2*(-6)/4 - 0. Suppose -7 = -5*p + o. Factor 2/3*t + 0*t**p - 2/3*t**3 + 1/3*t**4 - 1/3.
(t - 1)**3*(t + 1)/3
Suppose 14 = 3*s + 5*b, 2*b + 3*b - 18 = -s. Let m be (-2 + 2)/(1*s). Factor -2/3*c**4 - 4/3*c**2 + 0 - 2*c**3 + m*c.
-2*c**2*(c + 1)*(c + 2)/3
Let k = 2811/4900 - -13/196. Let h(d) be the second derivative of -8/15*d**3 - d - 1/5*d**2 - k*d**5 - 4/5*d**4 - 16/75*d**6 + 0. Factor h(a).
-2*(2*a + 1)**4/5
Suppose -9 = 4*q - c, -4*q - 4*c - 7 = -23. Let r be (q - -2)/((-1)/(-2)). Determine o, given that 4 - 9*o - 2*o**r + 2*o**2 + 2 + 3*o**2 = 0.
1, 2
Let c(a) be the first derivative of -a**6/42 + 2*a**5/35 - 2*a**3/21 + a**2/14 + 26. Factor c(z).
-z*(z - 1)**3*(z + 1)/7
Factor -8/11 - 10/11*s - 2/11*s**2.
-2*(s + 1)*(s + 4)/11
Solve 6*p + 8*p**3 - 198*p**4 - 2*p + 10*p**2 + 200*p**4 = 0 for p.
-2, -1, 0
Let w = -22 - -24. Let x(h) be the second derivative of -20/3*h**3 - 7/2*h**4 - 2*h + 5/3*h**6 + 0 - 4*h**2 + w*h**5. What is z in x(z) = 0?
-1, -2/5, 1
Let p(r) be the first derivative of 7*r**6/15 + r**5/5 - 7*r**4/6 - 2*r**3/3 - r + 1. Let w(m) be the first derivative of p(m). Factor w(v).
2*v*(v - 1)*(v + 1)*(7*v + 2)
Let x(r) be the third derivative of -r**8/13440 - r**7/10080 - r**5/20 + r**2. Let l(d) be the third derivative of x(d). Factor l(b).
-b*(3*b + 1)/2
Factor 1/3*i**5 - 4/3*i**4 + i**3 - 4/3*i + 4/3*i**2 + 0.
i*(i - 2)**2*(i - 1)*(i + 1)/3
Let t(l) = l**4 + 4*l**3 + 4*l**2 - 9*l. Let v(j) = j**4 + 2*j**3 + 2*j**2 - 5*j. Let i(s) = -3*t(s) + 5*v(s). Determine o, given that i(o) = 0.
-1, 0, 1
Factor 0*n**3 + 8*n**2 - 6*n**3 - 2*n**3 + 2*n**4.
2*n**2*(n - 2)**2
Suppose 4*l - 7 = 5*j, -4*l = l + 4*j - 19. Let v = l + 1. Factor 6*g**3 + 9 - 6*g - 2*g**2 - 3*g**v + 7*g**4 - 11.
2*(g - 1)*(g + 1)**2*(2*g + 1)
Let q = -1759/5 - -353. Factor -6/5*z + q*z**3 - 4/5 + 2/5*z**2 + 2/5*z**4.
2*(z - 1)*(z + 1)**2*(z + 2)/5
Let f(z) be the second derivative of 0 + 6*z - 4/13*z**3 + 9/13*z**2 + 2/39*z**4. Determine t so that f(t) = 0.
3/2
Let m = 81 + -79. Factor 0 + 3/7*t**4 + 0*t**3 + 0*t + 0*t**m.
3*t**4/7
Find b, given that -28*b**4 - 2*b - 33*b**2 + 84*b**3 + 6*b - 17*b**4 - 10*b = 0.
-2/15, 0, 1
Factor -4*i**2 + 6 + 6*i**2 + 2 + 8*i.
2*(i + 2)**2
Let i(m) be the third derivative of -m**7/8820 + m**6/1260 - m**4/24 - 2*m**2. Let x(c) be the second derivative of i(c). Solve x(h) = 0 for h.
0, 2
Let r(k) be the third derivative of -k**8/4 + 2*k**7/105 + 8*k**6/15 + 4*k**5/15 - 7*k**2. Solve r(u) = 0.
-2/3, -2/7, 0, 1
Let i = -108 + 542/5. Factor 2/5*q - i*q**3 + 2/5*q**2 - 2/5.
-2*(q - 1)**2*(q + 1)/5
Let g be (39/15 + -2)*5. Suppose 3*x - 12 = -3*f, 3*f - 1 = x + g. Factor 4*k**2 + 2*k**4 + 3*k + x*k**5 - 6*k**4 - 5*k.
2*k*(k - 1)**3*(k + 1)
Suppose -15 = -3*l, -14 = -p - 0*p + 3*l. What is u in -62 - 2*u + 2*u**2 + 33 + p = 0?
0, 1
Let t = 13 + -19. Let z be ((-4)/t)/(6/27). Suppose -o**4 - 2*o**2 + 3*o**2 - z*o**3 + o**5 + 2*o**3 = 0. What is o?
-1, 0, 1
Let r = 88 + -86. Factor 0 - 3/5*z - 12/5*z**r.
-3*z*(4*z + 1)/5
Let k(n) = -n**3 + 2*n**2. Let x(u) = 2*u**3 - 2*u**2. Let t = 6 + -3. Let c(i) = t*x(i) + 4*k(i). Determine o, given that c(o) = 0.
-1, 0
Let l(r) be the first derivative of 4*r**5/5 + r**4 - r**3 - 2*r**2 - r - 8. Factor l(p).
(p - 1)*(p + 1)*(2*p + 1)**2
Let f(x) = x**3 - x**2 - 2*x. Let b(p) = -p**2 - p. Let m(c) = 15*b(c) - 5*f(c). Factor m(z).
-5*z*(z + 1)**2
What is w in 2/7*w**3 + 4/7*w**2 + 0 + 0*w - 2/7*w**4 = 0?
-1, 0, 2
Suppose 25 = 9*w + 7. Factor 3/2*c - c**w - 1/2.
-(c - 1)*(2*c - 1)/2
Factor -256/3 - 32/3*i - 1/3*i**2.
-(i + 16)**2/3
Let m(l) = 4*l - 3*l**2 - 5 - l**3 + 2*l**2 - 3*l**2. Let x be m(-5). Factor x + 2/3*a**4 + 1/3*a**5 + 0*a**2 + 1/3*a**3 + 0*a.
a**3*(a + 1)**2/3
Let n = 52880 - 2908284/55. Let g = n + -21/11. Factor 1/5*l**3 - 1/5 - g*l + 1/5*l**2.
(l - 1)*(l + 1)**2/5
Let j(i) = -i**2 - 6*i - 1. Let z be j(-5). Suppose 0 = -0*q - 2*q + z. Suppose -3*t**2 + 2 + q*t - 5*t - 2 = 0. What is t?
-1, 0
Let z(j) be the third derivative of j**8/336 + j**7/35 + 13*j**6/120 + j**5/5 + j**4/6 + 30*j**2. Factor z(t).
t*(t + 1)**2*(t + 2)**2
Let z = -7 - -9. Determine w, given that 4*w - 2 - w**2 - 5*w**z + 4*w**2 = 0.
1
Let q(i) be the third derivative of i**7/120 - i**6/30 + i**5/60 + 9*i**2. Factor q(w).
w**2*(w - 2)*(7*w - 2)/4
Let k(z) = -z**3 - 20*z**2 - 2*z - 37. Let g be k(-20). Suppose 2/3*f**g + 4/3*f**2 + 2/3*f + 0 = 0. Calculate f.
-1, 0
Suppose 2/9*o**2 + 0 + 2/9*o = 0. What is o?
-1, 0
Let k(b) = b + 4. Suppose 4*u = 2*o - 12, 5*o - 4 = 5*u + 11. Let n be k(o). What is w in 0*w**3 - 2*w**5 + 0*w**4 - 2*w**3 - n*w**4 = 0?
-1, 0
Solve 12/17*p**3 + 0 - 14/17*p**4 + 0*p - 6/17*p**5 + 0*p**2 = 0 for p.
-3, 0, 2/3
Let w = 215 - 643/3. Factor 0*h**2 + 0*h**3 + 0*h + 2/3*h**5 + w*h**4 + 0.
2*h**4*(h + 1)/3
Suppose -2*o - o = -2*f + 6, 4*f - o = 2. Find i, given that 1/2*i**4 + 0*i + 1/4*i**2 + f - 3/4*i**3 = 0.
0, 1/2, 1
Let f(w) = 1. Let b(m) = m**2 - 7. Let g(o) = -b(o) - 3*f(o). Factor g(h).
-(h - 2)*(h + 2)
Let f(g) = -g + 2. Let t be f(0). Factor -15 + t*m + 20*m**3 - 13*m**2 + 15.
m*(4*m - 1)*(5*m - 2)
Let f be 1/(-70) - 3/(-12). Let r = f - 1/28. Factor r - 2/5*b + 1/5*b**2.
(b - 1)**2/5
Let s(k) be the second derivative of k**3 + 1/20*k**6 + 3/8*k**5 - 3*k + 0*k**2 + 0 + k**4. Factor s(f).
3*f*(f + 1)*(f + 2)**2/2
Let n = 106/45 - -4/45. Find a, given that 0 - n*a**2 + 4/9*a = 0.
0, 2/11
Let c(t) be the first derivative of 3*t**5/25 - 3*t**4/5 - 6*t**3/5 + 54*t**2/5 - 81*t/5 + 38. Find p such that c(p) = 0.
-3, 1, 3
Suppose 18 = -16*s + 22*s. Let z(x) be the first derivative of 3 + 0*x - 2/3*x**s + 1/4*x**4 + 0*x**2 + 1/5*x**5. Factor z(r).
r**2*(r - 1)*(r + 2)
Factor -8/11*o - 2/11*o**4 + 0 - 4/11*o**3 + 14/11*o**2.
-2*o*(o - 1)**2*(o + 4)/11
Let g = 247 + -244. Factor 1/5*c - 1/5*c**4 - 1/5*c**g + 0 + 1/5*c**2.
-c*(c - 1)*(c + 1)**2/5
Let t be (2 - 4) + 2 + 60. Let