) be the third derivative of -1/6*b**a + 0*b - 3*b**2 + 0 - 1/12*b**4 - 1/60*b**5. Factor x(y).
-(y + 1)**2
Suppose 2*x = -0*x + 20. Suppose -5*a + 15 = -x. Find t, given that -a*t - t**2 + 3*t + t = 0.
-1, 0
Suppose -2*n + m = -2, -4*n - 4 = -n - 5*m. Factor 5*w**2 - n - 8*w - w**3 + 6 + 0.
-(w - 2)**2*(w - 1)
Let v(p) be the third derivative of p**10/7560 + p**9/3780 + p**4/4 - 2*p**2. Let k(b) be the second derivative of v(b). Find t, given that k(t) = 0.
-1, 0
Let m be (52/104)/(2/16*10). Let 16/5*a - m*a**2 - 32/5 = 0. What is a?
4
Let c(v) be the first derivative of v**7/63 - v**5/30 + 2*v - 4. Let a(y) be the first derivative of c(y). Suppose a(r) = 0. Calculate r.
-1, 0, 1
Find y, given that 4/3*y**3 - 2/3*y**4 - 4/3*y + 2/3 + 0*y**2 = 0.
-1, 1
Factor 0*k + k**2 - 3*k + 0*k + 5*k.
k*(k + 2)
Find c, given that -10/11*c**2 + 4/11*c**3 + 10/11*c**4 + 0 - 4/11*c = 0.
-1, -2/5, 0, 1
Suppose -4 = -5*a + 6. Let c be (-9)/(-6) + (a - 0). Factor -25/2*n**2 - c*n**4 + 1/2*n**5 + 19/2*n**3 - 2 + 8*n.
(n - 2)**2*(n - 1)**3/2
Suppose 0 = 4*n + 3*x - 12, -3*n - 4 = -x - 0*x. Let t(h) be the first derivative of 2*h**2 + 2 - h**4 + n*h**3 - 2*h + 2/5*h**5. Factor t(m).
2*(m - 1)**3*(m + 1)
Let d(a) be the third derivative of -a**8/168 + a**7/105 + a**6/60 - a**5/30 - a**2. Factor d(i).
-2*i**2*(i - 1)**2*(i + 1)
What is d in -155*d**2 - 22 + 12*d + 8 + 154*d**2 - 22 = 0?
6
Let w = -24 + 31. Let y(t) be the second derivative of 1/12*t**3 + 0*t**4 + 0*t**6 + 0*t**2 + 0 - t + 1/84*t**w - 1/20*t**5. Factor y(p).
p*(p - 1)**2*(p + 1)**2/2
Factor 6/5*j**3 + 2/5*j**5 + 0 - 6/5*j**4 + 0*j - 2/5*j**2.
2*j**2*(j - 1)**3/5
Suppose p = c, -4*c - 4*p = -3*c - 25. Suppose -v = -c*v + 8. Solve -3*l - l**v + 2*l + l**3 - l = 0 for l.
-1, 0, 2
Let j(c) = 17*c**3 - 94*c**2 + 91*c - 14. Let k(h) = 120*h**3 - 657*h**2 + 636*h - 99. Let r(l) = -27*j(l) + 4*k(l). Factor r(w).
3*(w - 3)*(w - 1)*(7*w - 2)
Let a(j) be the first derivative of -j**5 + 10*j**4 - 80*j**3/3 - 23. Suppose a(p) = 0. Calculate p.
0, 4
Suppose -3*o = -0*o - 5*j - 16, -10 = 5*j. Let -6*i + 4 + 2 - 1 + o*i**2 - 1 = 0. Calculate i.
1, 2
Let c(z) be the first derivative of 2*z**5/15 - z**4/2 + 4*z**3/9 - 46. Factor c(k).
2*k**2*(k - 2)*(k - 1)/3
Let l = -1 - -4. Let p(i) be the first derivative of 2/21*i**l - 1/7*i**2 - 2/7*i + 2 + 1/14*i**4. Factor p(r).
2*(r - 1)*(r + 1)**2/7
Suppose 12*g = 37*g - 50. What is y in -1/3*y**g + 2/3*y - 1/3 = 0?
1
Let b = -10 - -7. Let y(a) = 3*a**5 + 6*a**4 - 3*a**2 + 3. Let f(z) = 6*z**5 + 11*z**4 - z**3 - 6*z**2 + 5. Let p(l) = b*f(l) + 5*y(l). Factor p(q).
-3*q**2*(q - 1)*(q + 1)**2
Let j(l) be the third derivative of l**8/1680 + l**7/1050 - l**6/120 + l**5/100 - 8*l**2. Let j(r) = 0. Calculate r.
-3, 0, 1
Let q(y) = 35*y**3 - 15*y - 10. Let l(f) = -f**3. Let j(r) = -30*l(r) - q(r). Let j(p) = 0. Calculate p.
-1, 2
Let r = -2365/26 - -91. Let z = 23/78 + r. Factor -1/3*h**2 + 0 + 0*h + 0*h**3 + z*h**4.
h**2*(h - 1)*(h + 1)/3
Let l(w) be the second derivative of 1/10*w**4 + 5*w - 1/3*w**3 + 2/5*w**2 + 1/50*w**5 - 1/75*w**6 + 0. Factor l(k).
-2*(k - 1)**3*(k + 2)/5
Let b(d) = 4*d**4 + 3*d**3 - 23*d**2 - 11*d - 11. Let i(r) = r**4 + r**3 - 6*r**2 - 3*r - 3. Let j(v) = -6*b(v) + 22*i(v). Factor j(a).
-2*a**2*(a - 3)*(a + 1)
Let q(i) = 2*i**3 - 3 - 2*i**2 + 3 - i - 6*i**3. Let a be q(-1). Factor -6*p**2 - p**2 + 6*p**2 + 3*p**a - p + 2*p**5 + 5*p**4.
p*(p + 1)**3*(2*p - 1)
Let d(g) be the first derivative of 0*g**3 + g**4 - 2/5*g**5 - 2*g**2 - 1 + 2*g. Factor d(u).
-2*(u - 1)**3*(u + 1)
Suppose -5*f + 4 = -6. Factor -5*r - r + 2*r - 2 - r**f - r**2.
-2*(r + 1)**2
Suppose 0 = -2*t + 3*h + 12, -5*h = 3*t - 1 + 2. Let n(i) be the first derivative of -t*i**2 + 1 + i**3 - 1/8*i**4 + 4*i. Factor n(u).
-(u - 2)**3/2
Let a = 328 - 328. Suppose -2/9*f**2 - 2/9*f + a = 0. Calculate f.
-1, 0
Factor 0 + 0*z + 4/9*z**2 + 2/9*z**3.
2*z**2*(z + 2)/9
Let i(n) be the third derivative of -n**5/330 - n**4/66 - n**3/33 - 16*n**2. Factor i(u).
-2*(u + 1)**2/11
Let g be (1/7 + 1)*(-273)/(-234). Let g*o**3 + 32/3*o + 16/3 + 20/3*o**2 = 0. What is o?
-2, -1
Let b = 1287/4480 + -1/640. Factor -3/7*i**2 - 5/7*i - b.
-(i + 1)*(3*i + 2)/7
Let p = -471 - -476. Find q such that -14/3*q**4 + 20/9*q**p + 2/3*q**2 + 20/9*q**3 - 4/9*q + 0 = 0.
-2/5, 0, 1/2, 1
Let b(v) be the first derivative of v**3 - 12*v + 14. Determine l, given that b(l) = 0.
-2, 2
Suppose 4*s = -3*j + 24, 4*s - 24 = -0*s + 2*j. Let v be (-8)/20*(-5)/s. Find f, given that v*f**2 + 1/3*f + 0 = 0.
-1, 0
Let i(k) be the first derivative of -4*k**3/15 - 6*k**2/5 + 8*k + 37. Factor i(z).
-4*(z - 2)*(z + 5)/5
Let a(g) be the first derivative of -2*g**3/27 + 4*g**2/9 + 10*g/9 - 16. Factor a(x).
-2*(x - 5)*(x + 1)/9
Let n be (58/12 + 1)*-2. Let h = 12 + n. Factor h*o**4 - 1/3*o**3 - o**2 - 2/3 + 5/3*o.
(o - 1)**3*(o + 2)/3
Factor -80/7*m + 16/7 + 100/7*m**2.
4*(5*m - 2)**2/7
Let c be (4/6)/(4/18). Suppose 10 = 2*u - v, 2*u - c*v - 15 = 3. Suppose 0*q - 4*q**2 - 2*q - 3*q**2 + 4 + 2*q**u + 3*q**2 = 0. Calculate q.
-1, 1, 2
Let t be (-6)/(-3*(-2)/(-3)). Factor 0*a**2 + 3*a**2 - 3*a - 3*a**4 + t*a.
-3*a**2*(a - 1)*(a + 1)
Let m be -4 + 1 + (-6)/162*-87. Suppose -4*w + 4*l = 8, 0 = -2*l - 3*l + 25. Factor -2/9*j**w + m*j + 2/9*j**2 - 2/9*j**4 + 0.
-2*j*(j - 1)*(j + 1)**2/9
Factor -q**2 + 0*q + 10*q**2 - 6*q**2 - q**4 - 2 - q + q**3.
-(q - 2)*(q - 1)*(q + 1)**2
Let x = 31/36 - 1/9. Let v(u) be the first derivative of x*u**4 + 7/6*u**6 + 12/5*u**5 + 0*u**2 - 1 - 2/3*u**3 + 0*u. Factor v(r).
r**2*(r + 1)**2*(7*r - 2)
What is w in 0 - 4/3*w**2 + 0*w = 0?
0
Let u(g) be the third derivative of g**5/120 - g**4/12 + g**3/3 + 6*g**2. Factor u(i).
(i - 2)**2/2
Suppose 0*k - 28/19*k**3 + 0 - 2/19*k**5 + 14/19*k**4 + 16/19*k**2 = 0. Calculate k.
0, 1, 2, 4
Let i = 15/14 + -11/14. Let g = -348 + 2442/7. Determine m so that i*m**2 + 4/7 - g*m = 0.
1, 2
Let w(t) be the second derivative of 7/24*t**4 + 2*t - 1/5*t**5 + 0*t**2 - 1/12*t**3 - 4/15*t**6 + 0. Suppose w(k) = 0. What is k?
-1, 0, 1/4
Let a(u) be the third derivative of -u**9/30240 - u**8/10080 + u**7/2520 + u**6/360 - 2*u**5/15 - 5*u**2. Let x(i) be the third derivative of a(i). Factor x(t).
-2*(t - 1)*(t + 1)**2
Let m be -9 - 32/(-14) - -7. Determine q so that -4/7*q + 2/7*q**2 + m = 0.
1
Suppose -5/2 - 1/2*d**2 + 3*d = 0. Calculate d.
1, 5
Let c be (-495)/(-154) + 2/7 - 3. What is i in c*i**2 - i + 0 = 0?
0, 2
Let d(j) = j**5 - j**4 + j**3 + j**2 - 1. Let z(o) = 12*o**5 + 40*o**4 + 28*o**3 - 4*o + 2. Let n(b) = -2*d(b) - z(b). Factor n(m).
-2*m*(m + 1)**3*(7*m - 2)
Let a(o) be the third derivative of o**7/1365 - o**6/780 - o**5/390 + o**4/156 + o**2. Solve a(s) = 0.
-1, 0, 1
Let m(v) = -4 + 1 - 5*v**2 - 1 + v - 7*v. Let i(p) = -16*p**2 - 18*p - 12. Let h(w) = 3*i(w) - 10*m(w). Factor h(u).
2*(u + 1)*(u + 2)
Suppose 0*q + 1/4*q**3 + 0 - 1/2*q**2 = 0. Calculate q.
0, 2
Suppose 2*j + 5 = 3*b, -3*b - 3*j + 4*j = -4. Suppose -4*c - b = -13. Factor -2*s**3 + 6*s + 3*s**3 - 6*s**2 - 2 + 5*s**3 - 4*s**c.
2*(s - 1)**3
Let d(i) be the first derivative of -2*i**3/21 - 3*i**2/7 - 4*i/7 + 2. Suppose d(h) = 0. Calculate h.
-2, -1
Let g(j) = -5*j**3 - 21*j**2 + 6*j - 11. Let y = -18 + 7. Let h(f) = -f**3 - 4*f**2 + f - 2. Let m(x) = y*h(x) + 2*g(x). Factor m(o).
o*(o + 1)**2
Let r(j) = 4*j**4 - 8*j**3 - 4*j**2 + 8*j - 6. Let h(b) = -b**4 + b**3 + b**2 - b + 1. Let c(n) = 6*h(n) + r(n). Determine f, given that c(f) = 0.
-1, 0, 1
Let d(l) be the first derivative of -2*l**5/5 - 2*l**4 - 2*l**3 - 2. Factor d(a).
-2*a**2*(a + 1)*(a + 3)
Let r(a) = -9*a**3 + 19*a**2 - 3*a - 7. Let b(n) = 3*n**3 - 6*n**2 + n + 2. Let q(g) = -7*b(g) - 2*r(g). Factor q(x).
-x*(x - 1)*(3*x - 1)
Suppose -2*y - 5 = -9. Suppose -y*z - z = 0. Find u such that 0*u**2 + 0*u**3 + 0 + z*u + 2/3*u**4 = 0.
0
Let v(j) be the first derivative of j**6/9 - 2*j**5/5 + j**4/2 - 2*j**3/9 - 8. Factor v(h).
2*h**2*(h - 1)**3/3
Let l(u) be the second derivative of -1/2*u**2 + 1/24*u**4 + 3*u + 0*u**3 + 0 - 1/60*u**5. Let f(x) be the first derivative of l(x). Factor f(r).
-r*(r - 1)
Let x(g) = 22 + g**3 + 3*g**2 - 21*g**2 - 29 - 6*g. Let j(r) = 2*r**3 - 19*r**2 - 5*r - 8. Let a(b) = 5*j(b) - 6*x(b). Factor a(u).
(u + 1)*(u + 2)*(4*u + 1)
Let x(h) be the first 