7 + 1240. Factor -2/7 - i*b**2 + 20/7*b.
-2*(5*b - 1)**2/7
Let o(g) = 4*g**4 + 6*g**3 - 2*g**2 - 6*g + 1. Let s(t) = 7*t**4 + 11*t**3 - 3*t**2 - 11*t + 1. Let m(y) = -5*o(y) + 3*s(y). What is a in m(a) = 0?
-2, -1, 1
Let n be ((-10)/(-15))/(3/(-9)) + 5. Solve 3*a - 33/2*a**4 + 35/4*a**5 - 2 + 37/2*a**2 - 47/4*a**n = 0.
-1, -2/5, 2/7, 1, 2
Let b(t) be the second derivative of 5*t**4/24 + 5*t**3/6 - 16*t. Determine o so that b(o) = 0.
-2, 0
Let h(k) be the second derivative of 5*k + 0 - 1/4*k**2 + 1/48*k**4 + 1/24*k**3. Find v, given that h(v) = 0.
-2, 1
Let d(s) = 38*s**4 - 30*s**3 - 46*s**2 + 28*s + 10. Let r(u) = 39*u**4 - 31*u**3 - 47*u**2 + 28*u + 11. Let c(j) = 3*d(j) - 2*r(j). What is f in c(f) = 0?
-1, -2/9, 1
Let z = 21 + -19. Suppose 8 + 2*n**2 + 10*n - 6*n**2 + 6*n**z = 0. What is n?
-4, -1
Factor 3/7*p - 1/7 + 4/7*p**2.
(p + 1)*(4*p - 1)/7
Suppose 7*o = 19*o - 24. Solve 0 + 1/3*s**4 + s**o + 1/3*s + s**3 = 0 for s.
-1, 0
Let m(o) be the first derivative of 1/6*o**4 - 2/3*o + 3 - 1/3*o**2 + 2/9*o**3. Factor m(r).
2*(r - 1)*(r + 1)**2/3
Let g(p) be the first derivative of 1/3*p**3 - 1/1080*p**6 + 0*p**4 + 0*p + 1 + 0*p**2 + 1/180*p**5. Let a(o) be the third derivative of g(o). Factor a(q).
-q*(q - 2)/3
Suppose -7*h = -4*h - 15. Suppose 0*p = h*p + 2*t + 6, -3*p - 5*t = 15. Factor 2/3*y**3 + 2/3*y**2 + 0 + p*y.
2*y**2*(y + 1)/3
Suppose 2*y + 2 - 6 = 0. Find q such that 3*q**2 + 2*q**y - q**3 - q**2 - 3*q**2 = 0.
0, 1
Let w = 19 - 15. Let o(d) be the first derivative of -1/3*d**2 + 0*d + 4/9*d**3 - 1/6*d**4 - w. Factor o(z).
-2*z*(z - 1)**2/3
Let o = 35/6 + -11/2. Let t(g) be the second derivative of -o*g**3 - 1/10*g**5 - 1/3*g**4 + 0*g**2 + 0 + g. Let t(x) = 0. What is x?
-1, 0
Let m(p) be the third derivative of p**7/15 - p**6/2 + 43*p**5/30 - 2*p**4 + 4*p**3/3 - 19*p**2. Factor m(z).
2*(z - 2)*(z - 1)**2*(7*z - 2)
Let o(p) = -p**4 + p**3. Let n(v) = 9*v**4 - 17*v**3 + 4*v**2 + 12*v - 8. Let d(q) = n(q) + 5*o(q). What is a in d(a) = 0?
-1, 1, 2
Suppose 3*f = -5*g + f + 18, 0 = -5*g + 4*f + 24. Suppose d - 4 = -d. Let -57/2*a**3 - 1 + 3/2*a + 14*a**g + 14*a**d = 0. Calculate a.
-1/4, 2/7, 1
Let g(c) be the first derivative of -7*c**6/360 + c**5/60 + c**3 - 2. Let x(m) be the third derivative of g(m). Suppose x(h) = 0. Calculate h.
0, 2/7
Let z be 4/(-6) + (-10)/3. Let f(b) = 5*b**4 - 4*b**3 - 2*b**2 - 3. Let h(m) = -m**4 + m**3 + 1. Let x(w) = z*h(w) - f(w). Factor x(j).
-(j - 1)**2*(j + 1)**2
Suppose -3*p - 3*m + 9 = 0, 0 = 5*p + 4*m - 18 + 2. Let 2*f**p + 2*f**3 + 12*f - 2*f**3 - 6*f**3 - 4*f = 0. What is f?
-1, 0, 2
Suppose -7 = -3*y - 4*p + 17, 4 = -2*y + 4*p. Find b, given that -8/7*b - 2/7 - 2/7*b**y - 12/7*b**2 - 8/7*b**3 = 0.
-1
Let m(i) = -10*i - 30. Let z(l) = -2*l - 6. Let n(f) = -3*m(f) + 16*z(f). Let s be n(-5). Factor -3*y - y**3 - 3*y + s*y + 3*y.
-y*(y - 1)*(y + 1)
Find n, given that -211*n**2 - 34*n**3 - 135*n**3 + 2*n - 110*n - 179*n**2 - 8 = 0.
-2, -2/13
Let l(a) = a**3 + a - 22. Let p(r) = 2*r**3 + r**2 + r - 43. Let d(n) = 7*l(n) - 4*p(n). Factor d(k).
-(k - 2)*(k + 3)**2
Determine q, given that 32*q**2 + 50*q - 8 + 20*q**3 - 14*q - 17*q - 15*q = 0.
-1, 2/5
Let t(p) be the first derivative of -1/15*p**3 + 2 + 13/50*p**5 + 3/10*p**4 - p - 2/5*p**2 + 1/15*p**6. Let f(i) be the first derivative of t(i). Factor f(m).
2*(m + 1)**3*(5*m - 2)/5
Suppose -3 + 17 = -3*y - 5*f, 5*y + 2*f = 2. What is w in 2*w**4 - 4*w**4 + 8*w**4 - 3*w**y - 3*w**4 = 0?
-1, 0, 1
Suppose 51 - 3 = 16*d. Let m(c) be the second derivative of 0 + 1/12*c**d - 2*c - 1/24*c**4 + 0*c**2. Factor m(a).
-a*(a - 1)/2
Let i(a) be the second derivative of a**7/14 - a**6/2 + 3*a**5/2 - 5*a**4/2 + 5*a**3/2 - 3*a**2/2 - 4*a. Factor i(x).
3*(x - 1)**5
Let l(o) be the second derivative of -o**5/20 - o**4/9 + o**3/18 + o**2/3 - 2*o. Solve l(n) = 0 for n.
-1, 2/3
Suppose 2*z = 5*l + 2, 4*l + 2*z + 3*z - 5 = 0. Let b(y) be the first derivative of 0*y**2 - 1/4*y**4 + 1/6*y**3 - 2 + 1/10*y**5 + l*y. Factor b(j).
j**2*(j - 1)**2/2
Let p = 0 - -5. Factor -15 + 3*a**2 - 8 - 12*a - p*a**2 + 5.
-2*(a + 3)**2
Let a(n) be the third derivative of -4*n**7/105 + n**6/20 + n**5/6 - n**4/4 - n**3/3 + n**2 + 13*n. Let a(p) = 0. Calculate p.
-1, -1/4, 1
Suppose 0*h + 3*h = -2*v - 5, -4*v + 14 = -2*h. Determine r so that -v*r**2 + r**3 - r**3 + 0*r**3 + 2*r**4 = 0.
-1, 0, 1
Let v be 12/54 + (-32)/(-18). Let j(h) be the first derivative of 2/5*h**5 + 0*h - 3/2*h**4 + 0*h**v + 4/3*h**3 + 4. Factor j(l).
2*l**2*(l - 2)*(l - 1)
Suppose -4*q = -s - 16, 7*s = 3*s - 4*q + 16. Let s + 6/7*c**2 - 6/7*c**4 + 4/7*c**5 - 2/7*c**3 - 2/7*c = 0. What is c?
-1, 0, 1/2, 1
Let l(k) = -3*k**3 - 2*k**2 + 3*k + 2. Let q(o) = 4*o**3 + o**2 - 4*o - 1. Suppose -9*v = -5*v - 16. Let w(y) = v*q(y) + 3*l(y). Solve w(t) = 0.
-1, 2/7, 1
Factor -16*h**2 + 16*h**2 + 2*h**4 + 0*h**4 + 2*h**3.
2*h**3*(h + 1)
Let s be 6/9*(1 + 2). Factor 2*o**s + 2*o + 7*o + o**2 + 6.
3*(o + 1)*(o + 2)
Determine h, given that -10*h**2 + 21 - 15*h + 5*h**3 - 21 = 0.
-1, 0, 3
Suppose 0 = -4*v + 3*v - 2*v. Factor 0*j + 0*j**2 + 0 - 2/11*j**5 + 2/11*j**3 + v*j**4.
-2*j**3*(j - 1)*(j + 1)/11
Let o be (0 - 4) + (-115)/(-25). What is i in -2/5 - i**3 - 1/5*i**2 + i + o*i**4 = 0?
-1, 2/3, 1
Let t(q) be the first derivative of -q**6/360 + q**4/72 + q**2/2 + 2. Let y(f) be the second derivative of t(f). Determine k so that y(k) = 0.
-1, 0, 1
Let v be (-11 + 2)*(-7)/21. Suppose 4*x = v*x. Factor 0 - 3/2*f**3 - 3/4*f**4 - 3/4*f**2 + x*f.
-3*f**2*(f + 1)**2/4
Let x(s) be the third derivative of -s**7/3360 - s**6/1440 - s**3/3 + 2*s**2. Let z(i) be the first derivative of x(i). Suppose z(g) = 0. What is g?
-1, 0
Let z = -1067/65926 - 5/554. Let u = z + 845/476. Factor u*h + h**2 - 1/2.
(h + 2)*(4*h - 1)/4
Let w(o) be the third derivative of o**5/45 + o**4/6 + o**2. Find k, given that w(k) = 0.
-3, 0
Let k be 12/3 + (3 - -4). Suppose -5*r = 1 - k. Suppose 4/9*o + 2/9*o**r + 2/9 = 0. Calculate o.
-1
Let b(p) be the first derivative of 0*p**2 - 3/14*p**4 - 4/21*p**3 + 0*p - 2/35*p**5 - 3. Factor b(m).
-2*m**2*(m + 1)*(m + 2)/7
Let t be -2 + -3 + 2 - -6. Suppose -a**5 - 2*a + a - 2*a**5 - 18*a**t - 2*a - 12*a**4 - 12*a**2 = 0. Calculate a.
-1, 0
Let r be 3/(-15) - (-15)/25. Factor -r - 12/5*d - 18/5*d**2.
-2*(3*d + 1)**2/5
Let n = -2/16033 - -6862130/48099. Determine s so that n*s**4 + 0 - 176/3*s**2 - 140*s**5 + 32/3*s + 136/3*s**3 = 0.
-2/3, 0, 2/7, 2/5, 1
Let 4*j**2 - 8*j + 16/3 - 2/3*j**3 = 0. Calculate j.
2
Let v = -236/85 - -88/17. What is b in 8*b**3 + v*b**2 - 2/5 + 38/5*b**4 + 12/5*b**5 - 4/5*b = 0?
-1, -1/2, 1/3
Suppose 5*k + 5 = -11*s + 6*s, 0 = k + 5*s + 13. Find d, given that -1/6 - 1/6*d**k - 1/3*d = 0.
-1
Factor 3/4 - 1/2*j**2 - 1/4*j**4 + j**3 - j.
-(j - 3)*(j - 1)**2*(j + 1)/4
Let f = -6 + 6. Let m(l) be the first derivative of -2 + f*l + 1/9*l**3 - 1/3*l**2. What is i in m(i) = 0?
0, 2
Let m(u) = -6*u**2 - 7*u - 21. Let y(q) = 5. Let r(t) = -5*m(t) - 20*y(t). Let r(s) = 0. What is s?
-1, -1/6
Factor -205*q**3 - 7*q**2 - 8*q - 5*q**2 + 201*q**3.
-4*q*(q + 1)*(q + 2)
Let r = -29/40 + 9/8. Determine a so that r*a - 12/5*a**4 + 4/5*a**2 + 0 - 2*a**3 = 0.
-1, -1/3, 0, 1/2
Let s(f) = 3*f**2 - 4*f. Let d be s(3). Let q = 3 + -1. Solve -r**2 - d*r**3 + 4*r**2 + q*r - 2*r**2 = 0.
-1/3, 0, 2/5
Let b(o) be the second derivative of -o**4/42 + 2*o**3/21 - o**2/7 - 5*o. Find l, given that b(l) = 0.
1
Let a(b) = 3 - b - 2 - 11. Let s be a(-12). Factor 2/5*y**s + 0 - 2/5*y.
2*y*(y - 1)/5
Factor 19 + 3*p - 9 - 10 + 3*p**2.
3*p*(p + 1)
Let w(y) = y**4 - y**2 - y. Let c(t) = 3*t**5 - 4*t**4 + 4*t**2 - 5*t. Let v be (12/24)/(2/(-8)). Let u(n) = v*w(n) + c(n). Factor u(d).
3*d*(d - 1)**3*(d + 1)
Factor -c**2 - 2*c - 1/2*c**4 + 2*c**3 + 3/2.
-(c - 3)*(c - 1)**2*(c + 1)/2
Solve 4/5*c**4 + 0 + 1/5*c + 9/5*c**3 + 6/5*c**2 = 0.
-1, -1/4, 0
What is t in -5 + 11*t - 63*t**3 - t**2 - 1 - 3*t**2 + 62*t**3 = 0?
-6, 1
Let v(t) be the second derivative of t**5/90 + t**4/9 + 4*t**3/9 + 3*t**2/2 + 4*t. Let i(r) be the first derivative of v(r). Suppose i(q) = 0. What is q?
-2
Let h(d) = -d - 3. Let f be h(-10). Let g be (-2)/(f/((-42)/8)). Suppose -15/2*a**2 + 0 - 3*a - g*a**4 - 6*a**3 = 0. What is a?
-2, -1, 0
Let n be (26/6 - 4)*(-1 + 16). Let u(m) be the third 