**3 = 0. What is x?
-1, 0, 1
Let u(r) be the second derivative of r**6/30 - 3*r**5/20 - 7*r**4/6 + 2*r**3 + 20*r**2 - 314*r. Solve u(l) = 0 for l.
-2, 2, 5
Suppose 6*o + 11*o = 10*o. Let z = o + 0. Find u, given that 0 - 3/4*u**3 + 0*u + z*u**2 = 0.
0
Factor 51216*f - 29*f**4 + 4449 - 2328*f**3 - 21873 - 21603*f**2 - 14449*f**2 - 7*f**4.
-4*(f + 33)**2*(3*f - 2)**2
Let t(f) be the first derivative of f**5/15 + f**4/6 - 4*f**3/3 - 7*f**2 + 4. Let m(y) be the second derivative of t(y). Let m(k) = 0. What is k?
-2, 1
Suppose 45*x - 71*x - 4*x - x**2 - 384 - 168*x - 2*x**2 = 0. What is x?
-64, -2
Let a(o) = -o**5 - o**3 - o**2 + o. Let z(w) = 20*w**5 + 76*w**4 - 296*w**3 - 376*w**2 - 24*w. Let c(s) = 24*a(s) + z(s). Let c(j) = 0. Calculate j.
-1, 0, 10
Let w(d) be the third derivative of -d**7/1470 + d**6/210 - d**5/84 + d**4/84 - 122*d**2. Determine l, given that w(l) = 0.
0, 1, 2
Let m be (-4)/((-24)/110) + (-6)/(-9). Solve 44*t + 4*t**4 + m*t - 15*t + 16 + 24*t**3 + 52*t**2 = 0.
-2, -1
Let q(i) be the first derivative of -5/13*i**2 - 8/39*i**3 - 1/26*i**4 - 4/13*i - 11. Factor q(h).
-2*(h + 1)**2*(h + 2)/13
Let o(w) = -w**3 - w**2 + w + 20. Let b be o(0). Factor b*c**3 + 8*c - 5*c - 2 - 10*c**4 + 7*c + 2*c**5 - 20*c**2.
2*(c - 1)**5
Let g(i) be the third derivative of 1/360*i**5 + 1/36*i**3 + 0 + 10*i**2 + 0*i - 1/72*i**4. Factor g(b).
(b - 1)**2/6
Let x be (-1)/(-2) + 213/6. Suppose 0 = -v - 2*v + x. Factor 2*z + z**2 + 7*z**2 + 4 - v*z - 2*z**2.
2*(z - 1)*(3*z - 2)
Let o(v) be the first derivative of 3/5*v**2 - 2/15*v**3 + 2/25*v**5 + 26 - 3/10*v**4 + 0*v. Factor o(z).
2*z*(z - 3)*(z - 1)*(z + 1)/5
Let h(t) be the third derivative of t**7/2520 + t**6/720 + t**4/2 - 4*t**2. Let i(z) be the second derivative of h(z). Let i(l) = 0. What is l?
-1, 0
Let v(b) = -b**4 - 8*b**3 + 11*b**2 - b. Let z(m) = m**5 + m**2 + m. Let y(n) = -3*v(n) - 3*z(n). Factor y(f).
-3*f**2*(f - 2)**2*(f + 3)
Let a(x) be the second derivative of -x**7/7560 + x**6/240 + 5*x**4/4 + 21*x. Let o(c) be the third derivative of a(c). Determine h, given that o(h) = 0.
0, 9
Let a = 2671/140 - 286/15. Let q(h) be the third derivative of 4*h**2 - a*h**4 + 0 + 1/420*h**5 + 1/42*h**3 + 0*h. Factor q(r).
(r - 1)**2/7
Suppose a + 4*q - 34 = 0, -a + 5*a = 5*q + 52. Suppose -5*k + a = -k + s, 0 = -2*k - s + 10. Factor 0*t + 3/5*t**k - 3/5*t**2 + 0 + 3/5*t**3 - 3/5*t**5.
-3*t**2*(t - 1)**2*(t + 1)/5
Let a be (-79)/6 + (13/(-6))/(-13). Let m = -5 - a. Factor -2/3*c**2 + m*c**3 + 0 - 24*c**4 + 0*c.
-2*c**2*(6*c - 1)**2/3
Let o be (10/105)/((-5)/70) - (-2 - 2). Factor -o - 134*p**2 - 54*p**5 - 710/3*p**3 - 32*p - 186*p**4.
-2*(p + 1)**3*(9*p + 2)**2/3
Factor 210/11*j**2 + 5408/11 + 2/11*j**3 + 5616/11*j.
2*(j + 1)*(j + 52)**2/11
Let n(a) be the second derivative of 5*a + 1/3*a**5 - 4*a**3 + 0 - 13/6*a**4 + a**2. Let g(i) be the first derivative of n(i). Let g(f) = 0. Calculate f.
-2/5, 3
Let n(m) be the first derivative of -3*m**4/8 - 3*m**3/2 + 6*m + 71. Factor n(i).
-3*(i - 1)*(i + 2)**2/2
Let y(v) be the third derivative of -v**5/150 + v**4/30 + v**3/5 + 36*v**2. Factor y(a).
-2*(a - 3)*(a + 1)/5
Let c(d) be the first derivative of -d**6/30 + d**5/3 - 4*d**4/3 + 8*d**3/3 - 4*d**2 - 3. Let h(j) be the second derivative of c(j). Factor h(z).
-4*(z - 2)**2*(z - 1)
Let o(y) be the third derivative of y**7/735 - y**6/210 + y**4/42 - y**3/21 - 392*y**2. Factor o(i).
2*(i - 1)**3*(i + 1)/7
Let i(f) be the first derivative of 0*f**3 + 4 - 1/72*f**4 - 1/180*f**5 + 0*f + 1/2*f**2. Let m(x) be the second derivative of i(x). Find c such that m(c) = 0.
-1, 0
Factor -174 - 8*d + 17*d - 6*d + 29*d - 82 - d**2.
-(d - 16)**2
Let n = 22318 + -22316. Suppose 32/3*h + 26/9*h**n + 2/9*h**3 + 8 = 0. What is h?
-6, -1
Let n be (11808/(-63))/16 + 12. Solve -2/7*f**4 - n*f + 2/7*f**3 + 0 + 2/7*f**2 = 0 for f.
-1, 0, 1
Suppose 10*d + 2 - 32 = 0. Suppose d*n + 3*c = 18, -c = -n + c + 3. Solve -a**2 + 29/5*a**4 - 2/5*a + 11/5*a**3 + 3*a**n + 0 = 0.
-1, -1/3, 0, 2/5
Solve -23/3*w**2 + 25/3*w + 8 - 1/3*w**4 - 25/3*w**3 = 0.
-24, -1, 1
Find y such that -2*y**3 + 9123 + 20*y - 9123 + 18*y**2 = 0.
-1, 0, 10
Let m(c) be the second derivative of -c**5/10 + c**3/3 + 60*c. Determine g so that m(g) = 0.
-1, 0, 1
Suppose 5*i + 16 = 6. Let n be 3*i/(-12)*(8 + -4). Determine u so that 4/3*u**n + 0 + 0*u - 2/3*u**3 = 0.
0, 2
Let m = 665 - 662. Determine q so that -10/9*q**4 + 14/9*q**5 - 8/9 + 58/9*q**2 - 46/9*q**m - 8/9*q = 0.
-2, -2/7, 1
Let y(b) be the third derivative of -4*b**7/525 - b**6/30 - b**5/25 + b**4/30 + 2*b**3/15 + 97*b**2. Find h such that y(h) = 0.
-1, 1/2
Factor -20 + 15*x + 17*x**2 - 37*x**2 + 24*x**2 + x.
4*(x - 1)*(x + 5)
Let y(q) be the third derivative of -15*q**7/14 - 109*q**6/8 - 1337*q**5/30 - 157*q**4/6 - 20*q**3/3 + 4*q**2 - 141*q. Let y(x) = 0. Calculate x.
-5, -2, -2/15
Suppose d = d + 7*d. Let f(q) be the first derivative of -6 + 0*q**4 - q**3 + d*q + 3/5*q**5 + 0*q**2. Determine c, given that f(c) = 0.
-1, 0, 1
Let p be -4 + 0 + -38 + 45. Let h(j) be the second derivative of 0*j**5 + 0 + 0*j**4 - 1/30*j**6 + 5*j + 0*j**2 + 0*j**p. Let h(a) = 0. Calculate a.
0
Find m such that 1/8*m**3 + 0 + 0*m + 5/8*m**2 = 0.
-5, 0
Let x(u) be the first derivative of u**3/9 + 47*u**2/3 + 2209*u/3 + 142. Suppose x(v) = 0. Calculate v.
-47
Let k(i) be the third derivative of -i**7/105 + i**5/15 - i**3/3 - 57*i**2 + 5*i. Factor k(h).
-2*(h - 1)**2*(h + 1)**2
Let o(m) be the second derivative of -5*m**8/336 - m**7/14 - m**6/8 - m**5/12 + 17*m**2/2 + 23*m. Let n(g) be the first derivative of o(g). Factor n(v).
-5*v**2*(v + 1)**3
Let d(x) be the first derivative of -8*x**6/3 - 8*x**5/5 + 15*x**4/4 + 3*x**3 - 6. Let d(l) = 0. Calculate l.
-3/4, 0, 1
Let j(p) be the third derivative of 3*p**7/70 + 23*p**6/40 - 7*p**5/4 + 9*p**4/8 - 87*p**2 - 4. Determine d so that j(d) = 0.
-9, 0, 1/3, 1
Let d be (-9 + -1)*(-6)/(-10). Let r be (-4)/16*0 - d/14. Let r*q**2 - 6/7*q - 9/7 = 0. What is q?
-1, 3
Factor -600*i**3 - 10260*i**2 - 555579/5 - 58482*i.
-3*(10*i + 57)**3/5
Let s(v) = 10*v**2 - 5*v - 8*v**2 + 2*v. Let h(b) = -9*b**2 + 12*b. Let p(y) = y**2 - y. Let r(w) = h(w) + 4*p(w). Let o(n) = -3*r(n) - 8*s(n). Factor o(x).
-x**2
Suppose 6 + 21 = 3*r. Let n(f) be the second derivative of 0*f**2 + 1/60*f**4 + 0 - r*f + 0*f**3 - 1/100*f**5. What is y in n(y) = 0?
0, 1
Let w(z) be the second derivative of -z**6/1620 - z**5/135 - z**4/27 + 29*z**3/6 + 15*z. Let f(s) be the second derivative of w(s). Suppose f(m) = 0. What is m?
-2
Let u(q) be the first derivative of -q**5/70 + 4*q**3/21 - 3*q + 5. Let k(r) be the first derivative of u(r). Suppose k(m) = 0. Calculate m.
-2, 0, 2
Let f be (48/(-36))/((-2)/6). Factor -3*z**3 - 10*z + 6*z**3 + 5*z**5 + 2*z**3 - 15*z**2 + 15*z**f.
5*z*(z - 1)*(z + 1)**2*(z + 2)
Let d(x) be the first derivative of 3*x**4/2 + 15*x**3 + 9*x**2 - 21*x + 49. Suppose d(y) = 0. Calculate y.
-7, -1, 1/2
Let y(g) = -4*g**2 - 8*g + 24. Let k(d) = -8*d**2 - 16*d + 55. Let u(p) = 4*k(p) - 9*y(p). Factor u(j).
4*(j + 1)**2
Factor 28/3 + 1/3*m**2 + 29/3*m.
(m + 1)*(m + 28)/3
Let p be 1/(-6)*90/18. Let u = p - -1. Factor -u*w**2 + 1/6 + 0*w.
-(w - 1)*(w + 1)/6
Let d(k) = -3*k**5 - 2*k**4 + k**3 + 6*k**2. Let p(c) = -7*c**5 - 4*c**4 + c**3 + 13*c**2 + 2*c. Let l(v) = 5*d(v) - 2*p(v). Factor l(g).
-g*(g - 1)**2*(g + 2)**2
Factor -5*c**2 - 267*c - 11605 + 11605 + 62*c.
-5*c*(c + 41)
Let u(w) be the first derivative of -3*w**4/28 + 17*w**3/7 + 68. Find x such that u(x) = 0.
0, 17
Let y = -16610 - -315598/19. Factor y*m + 2/19*m**2 - 10/19.
2*(m - 1)*(m + 5)/19
Let y(a) be the second derivative of 0 + 2/3*a**3 - 1/6*a**4 - 12*a + 0*a**2. Solve y(v) = 0.
0, 2
Let p(w) = 7*w**3 - 28*w**2 - 85*w - 38. Let i(f) = -f**4 + 8*f**3 - 28*f**2 - 84*f - 39. Let m(c) = 2*i(c) - 3*p(c). Factor m(z).
-(z - 4)*(z + 3)**2*(2*z + 1)
Let w = 6891/32 + -861/4. Let c(a) be the first derivative of -1/8*a + 1/24*a**3 - 3/16*a**2 + w*a**4 + 11. Solve c(r) = 0.
-1, -1/3, 1
Let c(i) be the first derivative of 3/5*i**5 - 1/2*i**6 - 12 + 3/2*i**4 + 3*i - 2*i**3 - 3/2*i**2. Factor c(t).
-3*(t - 1)**3*(t + 1)**2
Let n(q) = -q - 1. Let p be n(-4). Let l be (-2 - 1)*(-14)/21. Find y such that -4*y**4 + 3*y**2 + 2*y**4 - 4*y + p*y**l + 0*y**2 = 0.
-2, 