**3 - t**5 - 73*t + 73*t - 9*t**4.
3*t**3*(t - 2)*(t - 1)
Let d(s) be the second derivative of -s**7/105 - 13*s**6/75 - 57*s**5/50 - 19*s**4/6 - 10*s**3/3 + 13*s + 2. Find t such that d(t) = 0.
-5, -2, -1, 0
Suppose 1 = 2*c - c. Suppose 5*w - 9 - c = 0. Find p, given that -p - 4*p**5 - 2*p**w + 4*p**5 + p**5 + 2*p**4 + 0*p = 0.
-1, 0, 1
Let h(v) be the first derivative of 4*v**6/9 + 12*v**5/5 + 43*v**4/8 + 115*v**3/18 + 17*v**2/4 + 3*v/2 + 41. Factor h(r).
(r + 1)**3*(4*r + 3)**2/6
Let 6*d**2 - 20*d - 1/3*d**3 + 56/3 = 0. What is d?
2, 14
Let c be 1 - 77/63 - 76/(-18). Let b(f) be the second derivative of -3*f**2 + 9/4*f**c + f - 7/2*f**3 + 0. Suppose b(a) = 0. Calculate a.
-2/9, 1
Factor -1/5*v**4 + v**2 - 3/5*v + 0 - 1/5*v**3.
-v*(v - 1)**2*(v + 3)/5
Let w(i) be the first derivative of -i**5/15 + i**4/6 + 4*i**3/9 - 4*i**2/3 - 86. Determine d so that w(d) = 0.
-2, 0, 2
Solve -8/5*b**2 + 8/5*b**4 + 4/5*b**5 - 4/5*b**3 + 0*b + 0 = 0 for b.
-2, -1, 0, 1
Let q be 6*(-3)/(-24)*4. Suppose -3*t - t = 4*s - 80, 0 = q*s + t - 58. Factor -4*f**2 + 23*f**3 + 4 - 4*f - s*f**3 + 0*f.
4*(f - 1)**2*(f + 1)
Factor 4096*u**3 + 348*u + 432 - 4093*u**3 + 156*u + 75*u**2.
3*(u + 1)*(u + 12)**2
Let k = 577 + -575. Let g(j) be the first derivative of -3 + 0*j - 1/2*j**k - 1/3*j**3. Factor g(d).
-d*(d + 1)
Let i(h) be the second derivative of 0 - 16/15*h**3 - 1/50*h**5 + 4/15*h**4 + 0*h**2 + 5*h. Factor i(a).
-2*a*(a - 4)**2/5
Let q = -581 + 585. Let n(h) be the first derivative of -3/25*h**5 + 3/20*h**q + 0*h + 1/5*h**3 + 0*h**2 - 1/10*h**6 - 2. Factor n(m).
-3*m**2*(m - 1)*(m + 1)**2/5
Let o(f) be the first derivative of 0*f + 0*f**3 - 5/3*f**4 + 0*f**2 - 4/15*f**5 - 33. Factor o(s).
-4*s**3*(s + 5)/3
Let a(w) be the first derivative of -w**3 - 33*w**2/2 - 30*w + 66. Factor a(n).
-3*(n + 1)*(n + 10)
Let d(p) be the first derivative of 72/5*p - 12/5*p**2 + 6 + 2/15*p**3. Factor d(n).
2*(n - 6)**2/5
Let d(w) be the second derivative of w**8/26880 - w**7/5040 - w**6/720 + w**5/60 - 19*w**4/12 - 20*w. Let x(h) be the third derivative of d(h). Solve x(z) = 0.
-2, 2
Let y = -1069/2 - -536. Determine q so that -3/2*q + 6*q**2 + 0 - 9*q**3 - y*q**5 + 6*q**4 = 0.
0, 1
Let m = -100 - -103. Let z(q) be the third derivative of 0*q**m - 19/30*q**6 + 4*q**2 + 0*q + 8/15*q**5 + 0 + 2/3*q**4 + 2/15*q**7. Factor z(n).
4*n*(n - 2)*(n - 1)*(7*n + 2)
Let l = 848 - 848. Let p(w) be the third derivative of -1/32*w**4 + l*w**5 + 1/160*w**6 + 0 + 0*w + 8*w**2 + 0*w**3. Factor p(y).
3*y*(y - 1)*(y + 1)/4
Let m be 1/((0 + 1/(-2))*-1). Let c be (36/42)/(2 - (m + -2)). Factor 3/7 - 6/7*r + c*r**2.
3*(r - 1)**2/7
Let v be 0/(-2 + 1 + -1). Suppose v = -0*m - 4*m + 12. What is l in l**3 + l**m + l**2 + 0*l**2 - l**3 = 0?
-1, 0
Let z(v) be the first derivative of 5*v**6/6 - 45*v**5 + 540*v**4 + 8620*v**3/3 + 480*v**2 - 11520*v + 277. Find w such that z(w) = 0.
-2, 1, 24
Let p(z) = z**2 + 6*z + 2. Let c be p(-8). Factor -8*t - 4*t**5 + 4*t**2 + 4 + c*t - 8*t**4 - 8*t**3 - 4*t**5 + 6*t**5.
-2*(t - 1)*(t + 1)**3*(t + 2)
Let c = -18537/4 + 4662. Let a = 28 - c. Factor 0 + 1/2*j - 1/4*j**2 + a*j**4 - 1/2*j**3.
j*(j - 2)*(j - 1)*(j + 1)/4
Let z = -432662/371 - 80/53. Let p = z + 1171. Solve -6/7 + p*a - a**2 = 0.
2/7, 3
Let y(f) = -5*f**3 - 8*f**2 + 7*f + 2. Let q(w) = 12*w**3 + 16*w**2 - 14*w - 5. Let l(a) = 4*q(a) + 9*y(a). Factor l(p).
(p - 1)**2*(3*p - 2)
Let g be (-140)/(-399)*21/35. Suppose g*l**4 + 0*l + 8/19*l**2 - 2/19*l**5 + 0 + 14/19*l**3 = 0. What is l?
-1, 0, 4
Suppose p + a = -4 + 15, -47 = -4*p - a. Let 5*o**2 - 35*o + p*o + 20 + 3*o = 0. Calculate o.
2
Suppose -2*l - 18 = -4*v, 2*v = 2 + 6. Let s be 4/(l - 7)*-4. Determine w, given that 1 - 8*w**3 + 17*w**3 + 18*w - 6*w**4 + 13*w**3 - 5 - 30*w**s = 0.
2/3, 1
Factor -11/4*b**4 + 35/4*b**3 + 0*b + 1/4*b**5 - 25/4*b**2 + 0.
b**2*(b - 5)**2*(b - 1)/4
Let i be ((-6)/8)/(35/(-56)*3). Let f(v) be the first derivative of 4*v - i*v**5 - 3*v**2 + 3/2*v**4 - 2/3*v**3 - 4. Determine h so that f(h) = 0.
-1, 1, 2
Let x(r) be the first derivative of -22/7*r**2 - r**4 + 21 - 8/7*r - 64/21*r**3. What is g in x(g) = 0?
-1, -2/7
Factor -57/4*o + 3/4*o**2 + 36.
3*(o - 16)*(o - 3)/4
Let c = -279 - -282. Let u(q) be the second derivative of 0*q**2 + 0*q**c - 4*q + 1/120*q**6 + 0 + 1/24*q**4 + 3/80*q**5. Factor u(s).
s**2*(s + 1)*(s + 2)/4
Let n(j) be the first derivative of -3*j**4/16 + 5*j**3/4 + 27*j**2/8 - 135*j/4 - 517. Determine k so that n(k) = 0.
-3, 3, 5
Factor -18 + 42 - 8*b + 171*b**2 - 173*b**2.
-2*(b - 2)*(b + 6)
Suppose -2*v - 3*t = 60, 4*t = 16*v - 12*v + 120. Let k be v/(-6) - 3/(6/4). Factor 4/7*x**2 - 8/7*x + 16/21 - 2/21*x**k.
-2*(x - 2)**3/21
Let n(x) be the third derivative of x**10/90720 - x**8/10080 + x**6/2160 - 7*x**4/8 - 15*x**2. Let h(d) be the second derivative of n(d). Solve h(i) = 0.
-1, 0, 1
Let c(y) be the first derivative of 2*y**3/3 - 5*y**2 + 8*y - 176. Let c(v) = 0. What is v?
1, 4
Let h(m) = 3*m - 14. Let j be h(6). Let b = j + 0. Find s such that s**3 - s**2 - 2 + 7*s - s**b + 4*s**3 - 8*s**2 = 0.
1, 2
Let m = 26698 - 53391/2. Find g such that -2 - m*g**2 - 8*g + 7/2*g**3 = 0.
-1, -2/7, 2
Suppose 182 + 238 = 7*q. Factor -10*a**2 + 24*a**2 - q*a + a**4 - a**2 + 36 + 10*a**3.
(a - 1)**2*(a + 6)**2
Factor 12 + 24/5*l - 3/5*l**2.
-3*(l - 10)*(l + 2)/5
Suppose 2/7*l**3 + 4/7*l**2 + 8/7 - 2*l = 0. What is l?
-4, 1
Let f(t) be the first derivative of t**8/84 + 8*t**7/105 + t**6/6 + 2*t**5/15 + 7*t**2/2 + 3. Let o(v) be the second derivative of f(v). Solve o(j) = 0.
-2, -1, 0
Let h(r) = -1776*r**2 - 342*r - 16. Suppose 3*n = 5*n + 12. Let k(j) = -2*j**2 - j. Let u(d) = n*k(d) + h(d). Determine v so that u(v) = 0.
-2/21
Let x(u) be the second derivative of 0*u**5 + 2/15*u**6 + 0 - 1/3*u**4 + 1/21*u**7 + 6*u - 1/3*u**3 + 0*u**2. Factor x(v).
2*v*(v - 1)*(v + 1)**3
Let v(n) be the second derivative of -3/8*n**2 + 1/8*n**3 + 5/16*n**4 + 12*n + 0 + 9/80*n**5. Factor v(r).
3*(r + 1)**2*(3*r - 1)/4
Let d(j) be the second derivative of -j**6/60 + j**5/20 - j**3/6 + 5*j**2 + 2*j. Let o(k) be the first derivative of d(k). Solve o(c) = 0 for c.
-1/2, 1
Suppose -10 = -26*s + 25*s. Factor -117*c**5 - c**4 - 2 + s*c**2 + 10*c - 79*c**4 + 85*c**5 - 50*c**3.
-2*(c + 1)**3*(4*c - 1)**2
Let k(h) be the first derivative of -h**4/4 - 2*h**3/3 - h**2/2 - 54. Let k(l) = 0. What is l?
-1, 0
Let p(x) be the second derivative of -x**8/336 - x**7/35 - x**6/10 - 2*x**5/15 + 5*x**2/2 + 16*x. Let i(u) be the first derivative of p(u). Factor i(g).
-g**2*(g + 2)**3
Let c(j) = j**3 - 8*j**2 + 11*j - 12. Let w be c(7). Suppose 0 = r - 4*u - w, 3*r - 3*u - 13 = 2*r. Factor 0 - 16/7*s**r + 0*s**2 - 2/7*s**3 + 0*s - 32/7*s**5.
-2*s**3*(4*s + 1)**2/7
Let j(n) be the second derivative of -n**7/14 + 3*n**5/10 - n**3/2 + 249*n. Solve j(v) = 0.
-1, 0, 1
Let v = -32 + 52. Find b, given that 7*b + 4*b**2 + v + 18*b - 4 - 9*b = 0.
-2
Suppose -t - 8 = -5*n - 2*t, 2*t = -4. Find z such that -z**2 + 15*z - 2*z**n + 10 + 8*z**2 + 0*z**2 = 0.
-2, -1
Suppose 14*k = 18*k - 20. Suppose -k*g + g + 2 = j, 5*j + 4*g - 10 = 0. Find o, given that 12/11*o + 18/11 + 2/11*o**j = 0.
-3
Let l be 2/(-5) + (-2)/(-5). Let k(m) = m**2 + 18*m + 65. Let s be k(-13). Suppose s + 2/7*d**3 - 2/7*d**2 + l*d = 0. What is d?
0, 1
Let s(d) be the first derivative of -8/3*d - 8 + 10/3*d**2 + 2/9*d**3 - 5/12*d**4. What is v in s(v) = 0?
-2, 2/5, 2
Let m(c) be the first derivative of 5*c**6/18 - 31*c**5/5 + 149*c**4/4 - 31*c**3/9 - 150*c**2 - 108*c + 479. Determine g, given that m(g) = 0.
-1, -2/5, 2, 9
Let v(s) be the first derivative of -s**8/3920 + 23*s**3/3 - 21. Let b(r) be the third derivative of v(r). Factor b(q).
-3*q**4/7
Let w(v) = -8*v**3 - 21*v**2 - 37*v - 10. Let q(m) = 7*m**3 + 21*m**2 + 35*m + 9. Let c(n) = -4*q(n) - 3*w(n). Factor c(t).
-(t + 2)*(t + 3)*(4*t + 1)
Factor 12/7*f + 1/7*f**2 + 0.
f*(f + 12)/7
Factor -32/7*u**2 - 8/7*u**3 + 8/7*u**4 - 4*u - 8/7 + 4/7*u**5.
4*(u - 2)*(u + 1)**4/7
Let o = 155 + -309/2. Let r(c) be the second derivative of -1/2*c**3 + 0*c**2 + o*c**4 - 3/20*c**5 - 4*c + 0. Suppose r(l) = 0. What is l?
0, 1
Suppose 2*m - 7*m + 15 = 0. Suppose m = -3*r + 9. Factor -6*y - 12*y**3 + 0*y + 5*y**r + 3 - 26*y**2.
-3*(y + 1)**2*(4*y - 1)
Let k(n) = -n**3 - 90*n**2 