**2 + l - 1. Let t(i) = 2*a(i) + j(i). Let t(y) = 0. Calculate y.
-1, 1/2, 1, 2
Let u(y) be the second derivative of -y**6/6 - y**5/4 + 5*y**4/6 + 3*y. Determine w so that u(w) = 0.
-2, 0, 1
Suppose 2*o - 4*u - 6 = 0, -3*o + 7*o - 12 = -u. Factor -4*c**2 - 9*c**4 - 5*c**4 + 10*c**4 - 8*c**o.
-4*c**2*(c + 1)**2
Let x(l) be the first derivative of -l**6/15 - 2*l**5/5 - l**4 - 4*l**3/3 - l**2 + l + 1. Let p(c) be the first derivative of x(c). What is b in p(b) = 0?
-1
Let l(x) = -x**2 + 5*x + 3. Let c be l(5). Let d(y) be the first derivative of 2 + 0*y - 1/12*y**6 + 0*y**4 - 1/3*y**c + 1/4*y**2 + 1/5*y**5. Factor d(g).
-g*(g - 1)**3*(g + 1)/2
Suppose -4/5*t**3 - 4/5*t - 8/5*t**2 + 0 = 0. What is t?
-1, 0
Let y = 25132/11 + -2282. Factor -y*i**2 + 4/11 + 38/11*i**3 - 14/11*i**4 + 2/11*i.
-2*(i - 1)**3*(7*i + 2)/11
Let v(r) be the first derivative of 4*r**3/3 - 4*r - 1. What is d in v(d) = 0?
-1, 1
Let d = 2 - 0. Let h = 89 - 57. Find l, given that -h*l**4 - 4*l**2 - d*l**3 - 196*l**5 + 95*l**4 + 14*l**3 = 0.
-1/4, 0, 2/7
Let x = 33 - 60. Let n be 11/3 - (-18)/x. Factor 1/3*l**4 + 0*l + 1/3 - 2/3*l**2 + 0*l**n.
(l - 1)**2*(l + 1)**2/3
Suppose -2*r + 5*p + 5 = -3, -3*p = 0. Solve 4*x**5 + 14*x**4 - 46 - 6*x**r + 46 = 0.
-2, 0
Let q(d) be the first derivative of 20*d**3/9 + 125*d**2/6 + 10*d + 12. Suppose q(z) = 0. What is z?
-6, -1/4
Let k(w) be the first derivative of -4*w**5/25 + w**4 - 28*w**3/15 + 6*w**2/5 + 50. Factor k(z).
-4*z*(z - 3)*(z - 1)**2/5
Suppose -2*p = c + 2*c, -5*c + 5*p + 25 = 0. Suppose 20 = 4*f - 5*l, c*l + l + 12 = -3*f. Factor 5*v**2 + 4 + v + v**3 + 7*v + f*v**2.
(v + 1)*(v + 2)**2
Let u be (-24)/(-56) - 4/(-7). Let l(p) be the first derivative of 2/9*p**3 + u - 2/3*p**2 + 2/3*p. Factor l(i).
2*(i - 1)**2/3
Let d(y) be the first derivative of -2*y**3/15 - 2*y**2/5 - 2*y/5 - 3. Factor d(c).
-2*(c + 1)**2/5
Let q(n) be the second derivative of 0 + 0*n**2 - 1/3*n**4 + 4*n + 0*n**3 + 3/10*n**5 - 1/15*n**6. Factor q(t).
-2*t**2*(t - 2)*(t - 1)
Let v(x) be the third derivative of x**6/40 - 11*x**5/60 + x**4/3 + 2*x**3/3 + 8*x**2. Factor v(f).
(f - 2)**2*(3*f + 1)
Determine t, given that -2*t**2 + 0*t + 12 + 36*t + 17*t**2 = 0.
-2, -2/5
Let s(r) be the third derivative of r**9/241920 + r**8/80640 - r**7/10080 - r**5/15 + 3*r**2. Let p(w) be the third derivative of s(w). Factor p(q).
q*(q - 1)*(q + 2)/4
Factor -6*p + 3*p - 2*p + 3*p**3 - p**4 + p.
-p*(p - 2)**2*(p + 1)
Let w(x) = -3*x**3 - 8*x**2 - 11*x - 2. Let d(k) = k**3 + k**2 + k + 1. Let p(b) = 10*d(b) + 5*w(b). Factor p(u).
-5*u*(u + 3)**2
Suppose -v = -z + 3, 2*z - 2*v - 2*v - 14 = 0. Let m be (-6 - z)/(70/(-28)). Suppose -5/3*g - 2/3 - g**m = 0. Calculate g.
-1, -2/3
Suppose -5*z + 4*z = 8. Let i = z - -11. Find u, given that -12*u**4 + u**4 - 2*u + u + 14*u**3 + 1 + i*u**5 - 6*u**2 = 0.
-1/3, 1
Suppose -2*z - 3 = -3*i - 5*z, -4*i + 13 = -5*z. Determine y, given that 1/7*y**i + 2/7 + 3/7*y = 0.
-2, -1
Let t(i) be the second derivative of i**6/30 - i**5/4 + 2*i**4/3 - 2*i**3/3 - 5*i. Factor t(n).
n*(n - 2)**2*(n - 1)
Let v(w) be the second derivative of -w**8/5880 + w**7/2940 - 5*w**3/6 - 4*w. Let u(y) be the second derivative of v(y). Factor u(c).
-2*c**3*(c - 1)/7
Let x(y) be the second derivative of -y**5/20 - y**4/2 - 2*y**3 - 4*y**2 + 41*y. Determine l, given that x(l) = 0.
-2
Let o(r) be the first derivative of -r**8/2016 - r**7/1260 + 3*r**2/2 + 5. Let a(u) be the second derivative of o(u). What is c in a(c) = 0?
-1, 0
Let k be (1077/72)/(5/2). Let c = -43/12 + k. Factor 3/5*w**5 - c*w**4 + 0 + 18/5*w**3 - 12/5*w**2 + 3/5*w.
3*w*(w - 1)**4/5
Suppose 6*a = -5*a + 6*a. Let x(c) be the third derivative of a*c + 0 - 2/3*c**3 + c**2 - 1/60*c**5 - 1/6*c**4. Determine w so that x(w) = 0.
-2
Let j(l) be the second derivative of l**8/20160 - l**7/7560 - l**6/1080 - l**4/3 - 5*l. Let v(n) be the third derivative of j(n). Factor v(h).
h*(h - 2)*(h + 1)/3
Solve -3 - 12*h - h**2 - 1 + 4*h**2 + 16 = 0 for h.
2
Let m(p) be the first derivative of p**5/8 - p**4/3 + p**3/12 + p**2/2 - 2*p + 1. Let d(j) be the first derivative of m(j). Solve d(v) = 0 for v.
-2/5, 1
Let j(o) be the third derivative of o**7/945 - o**6/108 - o**5/270 + 5*o**4/108 + 14*o**2. Factor j(a).
2*a*(a - 5)*(a - 1)*(a + 1)/9
Factor -14/23*s**3 + 0 - 24/23*s + 32/23*s**2 + 2/23*s**4.
2*s*(s - 3)*(s - 2)**2/23
Let o(p) = 2*p**4 + 4*p**3 - p + 1. Let g(t) = -3*t**4 - 7*t**3 - t**2 + 2*t - 1. Let j(n) = 3*g(n) + 5*o(n). Factor j(r).
(r - 2)*(r - 1)*(r + 1)**2
Suppose -10 - 32 = -7*k. Let f(j) = 4*j**2 + 2*j - 7. Let y(p) = p**2 + p - 2. Let q(l) = k*f(l) - 21*y(l). Let q(v) = 0. What is v?
0, 3
Factor -2/3*t**5 - 2*t**4 - 2*t**3 + 0 + 0*t - 2/3*t**2.
-2*t**2*(t + 1)**3/3
Let n(i) be the third derivative of i**10/378000 - i**8/50400 + i**5/60 - 2*i**2. Let t(y) be the third derivative of n(y). Suppose t(q) = 0. Calculate q.
-1, 0, 1
Let n = 6 + -1. Factor -n*s**2 + s + 3*s - 4*s + 3*s**3 + 2*s.
s*(s - 1)*(3*s - 2)
Suppose 23 + 39 = 2*z. Let s = -31 + z. Factor -1/5*y**2 - y**4 + 2/5*y**5 + 4/5*y**3 + 0*y + s.
y**2*(y - 1)**2*(2*y - 1)/5
Suppose 4*z = 12, -4*b + 4*z - 3 = 1. Let o(u) be the first derivative of -2/3*u**3 + 0*u**2 - b + 2*u. Factor o(g).
-2*(g - 1)*(g + 1)
Let u**3 + 6*u**2 + 3*u**3 - u**3 = 0. Calculate u.
-2, 0
Let y(m) be the third derivative of m**5/270 + m**4/54 - m**3/9 + 5*m**2. Find j, given that y(j) = 0.
-3, 1
Let k(v) be the first derivative of v**7/105 - 6*v - 1. Let f(l) be the first derivative of k(l). Factor f(m).
2*m**5/5
Suppose 4 = 2*a - 14. Let l(s) = -s**3 + 9*s**2 - s + 11. Let n be l(a). Factor 17*h**2 - 20 + 17*h**n + 28 - 8*h**3 - 40*h.
-2*(h - 2)**2*(4*h - 1)
Suppose -4*j = -5*y - 23, 5*j + y = -2*y + 1. Suppose -3*l + 15 = j*l. Factor 1/3*a**5 + 0*a**l + 0*a**2 + 0*a - 1/3*a**4 + 0.
a**4*(a - 1)/3
Let v be (2/10)/(11/22). Factor 4/5*k + 2/5*k**2 + v.
2*(k + 1)**2/5
Let s(z) be the second derivative of 9/2*z**2 - 1/4*z**4 + 0 - 6*z + z**3. Solve s(a) = 0.
-1, 3
Let s(w) = w**2 - 18*w + 35. Let l be s(16). Let g(b) be the third derivative of 0*b + 1/96*b**4 + 1/240*b**5 - l*b**2 + 0*b**3 + 0. Let g(x) = 0. What is x?
-1, 0
Let u(w) be the second derivative of -w**7/3360 - w**6/1440 - w**3/3 + 2*w. Let x(a) be the second derivative of u(a). Factor x(g).
-g**2*(g + 1)/4
Let b = -4 + 7. Find y, given that -6/5*y**b + 4/5 - 2/5*y**4 + 6/5*y - 2/5*y**2 = 0.
-2, -1, 1
Let k be ((-12)/21)/(36/(-42)). Solve 0 - k*r**3 + 0*r + 0*r**2 + 2/3*r**4 = 0.
0, 1
Let l = 47 - 27. Suppose -l = -4*i - 8. Suppose -6*m**5 + 3*m**3 - 3*m**i - 2*m**3 - 8*m**4 = 0. What is m?
-1, -1/3, 0
Let x = -30 + 44. Suppose x*c**3 + 2*c + 6*c + 9*c**2 + 23*c**2 = 0. Calculate c.
-2, -2/7, 0
Suppose -4*m - v - 2*v = -9, 4*v - 8 = -4*m. Let 0 + j - 3/4*j**m + j**2 - 1/2*j**4 + 1/4*j**5 = 0. What is j?
-1, 0, 2
Let r(k) be the third derivative of -k**5/12 - k**4/24 + 2*k**3/3 + 5*k**2. Let p(z) = -2*z**2 + 2. Let y(m) = 7*p(m) - 3*r(m). Find h such that y(h) = 0.
-2, -1
Let k = 4/45 - -26/45. Let s(l) be the second derivative of 3*l + k*l**7 - 1/5*l**6 + 2/3*l**3 + 0*l**2 - 8/5*l**5 + 0 + 1/2*l**4. Solve s(x) = 0 for x.
-1, -2/7, 0, 1/2, 1
Let k = -1/68 + 279/476. Suppose 0*h + 0 - 2/7*h**2 + k*h**3 - 2/7*h**4 = 0. Calculate h.
0, 1
Let a(u) = -u**2 - 7*u - 2. Let y be a(-6). Let p(v) be the second derivative of 0*v**2 - 1/6*v**3 - 1/12*v**y + 0 - 2*v. Solve p(d) = 0 for d.
-1, 0
Let p = -12/7 + 55/28. Factor 0 - 1/4*u**2 - p*u + 5/4*u**3 - 3/4*u**4.
-u*(u - 1)**2*(3*u + 1)/4
Let p(n) be the first derivative of n**9/6804 + n**8/2520 + n**7/3780 - 4*n**3/3 - 2. Let a(b) be the third derivative of p(b). Let a(x) = 0. Calculate x.
-1, -1/2, 0
Suppose 0 = -2*r - 2*r - 320. Let o be r/(-84) - 2/7. Factor -1/3*s**3 - 1/3*s + 0 + o*s**2.
-s*(s - 1)**2/3
Let r(z) be the third derivative of z**5/390 + z**4/26 + 5*z**3/39 - 4*z**2. Factor r(x).
2*(x + 1)*(x + 5)/13
Solve 1/7*b**2 + 0 - 2/7*b + 1/7*b**3 = 0 for b.
-2, 0, 1
What is s in -44/9*s**2 + 14/3*s**4 + 2*s - 22/9*s**5 + 4/9*s**3 + 2/9 = 0?
-1, -1/11, 1
Let z be (-16)/6*(2 - 5). Suppose -4*j = -3*n + 2, 4*n - 2*j - 6 = -0*n. Determine g so that 9*g + 35 - 6*g**2 - z - 9*g**n + 3*g**3 = 0.
-1, 3
Let t(h) be the third derivative of 1/210*h**7 + 0*h**5 + 0*h + 0 + 0*h**4 