13 + 0*x**3 - 1/16*x**4 + 1/10*x**5 + 0*x**2 - 1/24*x**6 + 0*x. Determine i, given that k(i) = 0.
0, 1
Let q(d) be the first derivative of d**6/9 + 2*d**5/3 + 5*d**4/6 - 10*d**3/9 - 2*d**2 - 178. Let q(c) = 0. Calculate c.
-3, -2, -1, 0, 1
Factor -2/5*b**3 + 10*b**2 + 288/5 - 336/5*b.
-2*(b - 12)**2*(b - 1)/5
Let o(q) be the third derivative of q**5/110 - 52*q**4/11 + 10816*q**3/11 - 40*q**2 + 5. Solve o(p) = 0.
104
Let t = 61 + -58. Let j(s) be the first derivative of -6/5*s - 4/5*s**2 + 2 - 2/15*s**t. Factor j(p).
-2*(p + 1)*(p + 3)/5
Let y(i) be the third derivative of -i**5/240 + 5*i**4/32 - 141*i**2. Solve y(b) = 0 for b.
0, 15
Let k(h) be the first derivative of -h**4/4 + 5*h**3/2 - 13*h + 9. Let p(z) be the first derivative of k(z). Factor p(u).
-3*u*(u - 5)
Factor 85 - 2*w**4 - 1623*w**3 + 1655*w**3 - 32*w - 126*w**2 - 1 + 44.
-2*(w - 8)**2*(w - 1)*(w + 1)
Factor 1/2*s**3 - 2/3*s + 0*s**2 + 0 - 1/6*s**4.
-s*(s - 2)**2*(s + 1)/6
Let p(v) be the third derivative of -1/240*v**6 + 3*v**2 + 0 + 0*v + 1/60*v**5 + 7/48*v**4 + 1/3*v**3. Solve p(t) = 0 for t.
-1, 4
Let q(z) = 5*z**5 - 10*z**4 - 32*z**3 - 23*z**2. Let v(p) = 5*p**5 - 10*p**4 - 33*p**3 - 22*p**2. Let f(b) = 2*q(b) - 3*v(b). Solve f(x) = 0.
-1, 0, 4
Suppose 2 = -g + 4*q, -g + q = -q + 4. Let p be (-1)/3 + (-2)/g. Factor p - 3/5*r**3 - 1/5*r + 4/5*r**2.
-r*(r - 1)*(3*r - 1)/5
Let i(j) be the first derivative of 9/2*j**2 - 10 - 2*j**3 + 0*j - 3/4*j**4. Factor i(r).
-3*r*(r - 1)*(r + 3)
Suppose -5*y + 67 = -33. Let b(p) = -p**2 - 6*p - 3. Let r be b(-5). Factor a**r + 16*a**2 + 3*a**3 + a**2 + y*a + 7*a.
3*a*(a + 3)**2
Let s(f) be the second derivative of 5*f**7/42 + f**6/2 - 5*f**5/2 - 8*f. Determine u so that s(u) = 0.
-5, 0, 2
Factor 0 - 125/4*w - 75/4*w**2 - 15/4*w**3 - 1/4*w**4.
-w*(w + 5)**3/4
Let n = -17553/28 + 627. Let i(f) be the second derivative of 0*f**2 + 0 + 1/7*f**3 - n*f**4 + 3/140*f**5 - 2*f. What is b in i(b) = 0?
0, 1, 2
Suppose -14 = -2*o - 6. Solve -72*h + 5*h**o + 5*h**3 + 72*h - 5*h**5 - 5*h**2 = 0 for h.
-1, 0, 1
Let v(d) be the third derivative of d**5/30 - d**4/4 + 27*d**2 - d. Determine f so that v(f) = 0.
0, 3
Let l be (1320/168 + -10)/((-4)/14). Suppose l*j - 9/4 - 9/4*j**2 = 0. What is j?
1/3, 3
Let h = -410 + 412. Solve 8/5*s - 8/5 - 2/5*s**h = 0 for s.
2
Let 28*m**2 + 4*m**5 - 50*m - 11*m**4 - m**4 + 74*m - 12*m**3 = 0. Calculate m.
-1, 0, 2, 3
Let l(d) be the third derivative of d**5/360 - 7*d**4/144 + d**3/6 + 7*d**2 + 2*d. Factor l(u).
(u - 6)*(u - 1)/6
Let y(o) = -o**4 - 2*o**3 - o**2 - 2*o - 1. Let n(u) = -2*u**5 - 18*u**4 - 6*u**3 + 10*u**2 - 8*u - 4. Let f(d) = n(d) - 4*y(d). Suppose f(h) = 0. What is h?
-7, -1, 0, 1
Let s(x) = x**5 + x. Let j(i) = 4*i**5 + 9*i**4 + 9*i**3 + 3*i**2 + i. Let o be -2 + (-4)/5 + (-76)/(-20). Let c(t) = o*j(t) - s(t). Factor c(u).
3*u**2*(u + 1)**3
Let o be (-18 - 4128/(-216))*(-48)/(-10). Factor -68/3*i**2 + 0 - 16/3*i - o*i**3.
-4*i*(i + 4)*(4*i + 1)/3
Suppose -6*v - 7 = -13. Suppose 2*c + v = 73. Suppose 28/3*x**4 - 16/3 - 104/3*x**3 + c*x**2 - 16/3*x = 0. What is x?
-2/7, 1, 2
Let i(b) be the first derivative of -b**6/3 + 8*b**5/5 + 23*b**4/2 - 76*b**3/3 - 220*b**2 - 400*b - 268. Factor i(c).
-2*(c - 5)**2*(c + 2)**3
Let n(l) = 4*l**4 + 29*l**3 - 3*l**2 - 89*l - 55. Let j(c) = 3*c**4 + 29*c**3 - 3*c**2 - 89*c - 56. Let k(r) = -3*j(r) + 2*n(r). Let k(q) = 0. What is q?
-29, -1, 2
Determine t, given that 1/4*t**3 + 28*t - 25/4*t**2 + 147 = 0.
-3, 14
Factor 27*p**2 - 3*p**5 + 5*p**5 + 9*p**3 + p**5 - 15*p**4.
3*p**2*(p - 3)**2*(p + 1)
Suppose -5*k - o + 3*o = 270, -5*k + 4*o = 270. Let j be (-35)/(-14)*k/(-5). Determine a, given that j*a + 18*a**2 + 3*a**3 + 13 + 11 + 9*a = 0.
-2
Let s(y) be the second derivative of -y**4/3 - 6*y**3 - 36*y**2 + 2*y + 3. Factor s(x).
-4*(x + 3)*(x + 6)
Let k(y) be the first derivative of -9*y**6/2 - 102*y**5/5 - 57*y**4/4 + 42*y**3 + 42*y**2 - 24*y + 14. Suppose k(a) = 0. What is a?
-2, -1, 2/9, 1
Let u = -14 + 16. Let t be u*(3 - 6 - -4). Factor -3*r + 2 + r - r - r**t - 4.
-(r + 1)*(r + 2)
Let n(g) be the third derivative of g**8/560 - 2*g**7/105 + 9*g**6/200 - g**5/30 + 154*g**2. Find r such that n(r) = 0.
0, 2/3, 1, 5
Factor -3*n**4 - 802*n**2 + 108*n**3 - 220 - 126 + 82 + n**2 + 795*n + 165*n**3.
-3*(n - 88)*(n - 1)**3
Let t(l) be the third derivative of -l**7/210 - l**6/15 - l**5/3 - 2*l**4/3 - 2*l**2 - 64. Factor t(n).
-n*(n + 2)**2*(n + 4)
Suppose -10935*r - 3415*r**2 + 207*r**3 + 5*r**5 + 483*r**3 + 10935 + 115*r**4 + 2605*r**2 = 0. What is r?
-9, 1, 3
Let i = 733/2197 - 2/6591. Suppose g + 1/3 - g**3 - i*g**2 = 0. What is g?
-1, -1/3, 1
Let m(v) be the first derivative of 0*v**2 + v**5 + 1/5*v**6 - 1 + 2/3*v**3 + 3/2*v**4 + 14*v. Let o(x) be the first derivative of m(x). Solve o(b) = 0 for b.
-2, -1, -1/3, 0
Suppose -124*g**2 - 66*g**3 - 64*g**5 - 2*g**3 + 768 + 132*g + 160*g**4 - 804 = 0. Calculate g.
-1, 3/4, 1
Let c = 85634 - 771953/9. Let m = 139 + c. Find i, given that m*i**2 - 10/9*i - 2/3 = 0.
-1/2, 3
Let w(p) = 30*p**2 - 4*p - 3. Let o be w(-3). What is b in -o*b**2 - b**3 + 275*b**2 + b**4 + 2*b + 3 - b**3 = 0?
-1, 1, 3
Determine v, given that -29/4*v + 31/4*v**2 + 29/4*v**3 - 1/4*v**4 - 15/2 = 0.
-1, 1, 30
Let y be 2/((-6)/(-21)) - (7 + -4). Factor -13*q**4 + 0*q**3 + 15*q**4 + y*q**3.
2*q**3*(q + 2)
Find o such that 2/11*o**5 - 2/11*o**2 - 8/11 - 16/11*o + 10/11*o**4 + 14/11*o**3 = 0.
-2, -1, 1
Let r = 48 - -7. Let b = r + -163/3. Factor 0 + 0*h**3 - 2/9*h**4 - 4/9*h + b*h**2.
-2*h*(h - 1)**2*(h + 2)/9
Let p(l) be the first derivative of -l**3 + 21*l**2/2 + 54*l + 51. What is w in p(w) = 0?
-2, 9
Factor -10 + 10*p + 2/5*p**2 - 2/5*p**3.
-2*(p - 5)*(p - 1)*(p + 5)/5
Let a be 34/(-187)*((-145)/30 - -3). Let a*b**3 + 49/3 + 21*b + 5*b**2 = 0. What is b?
-7, -1
Let g(r) = 21*r**4 + 12*r**3 - 69*r**2 - 53*r. Let w(s) = -11*s**4 - 6*s**3 + 35*s**2 + 27*s. Let f(z) = 3*g(z) + 5*w(z). Factor f(k).
2*k*(k - 2)*(k + 2)*(4*k + 3)
Suppose -5*c = 5*r - 60, 0 = c - 5*r + r - 27. Factor -26*l + c*l - 4*l - 5*l**2.
-5*l*(l + 3)
Let w(o) be the first derivative of 19 + 6/11*o**3 - 12/11*o + 3/11*o**2. What is n in w(n) = 0?
-1, 2/3
Suppose 4*j - 5*q + 12 = 0, 2 = -24*j + 19*j + 3*q. Solve 1/3*w**4 + 1/3 - 2/3*w**j - 2/3*w**3 + 1/3*w + 1/3*w**5 = 0.
-1, 1
Let p(h) be the second derivative of -3*h**5/80 + h**4 + 4*h - 9. Determine r, given that p(r) = 0.
0, 16
Let v be (2/(-1))/((-14)/77). Let m = -9 + v. What is t in -23 + 12*t + t - t + 5 - m*t**2 = 0?
3
Suppose -2*p = -7*p + 15. Suppose 4*h = h + 15. Suppose 8 - 8*u**3 - 2 + h*u**p + 4*u + 5*u = 0. Calculate u.
-1, 2
Factor 50/3 + 4/3*j**2 + 55/3*j - 1/3*j**3.
-(j - 10)*(j + 1)*(j + 5)/3
Let p(f) = -f**3 - 7*f**2 + 9*f + 10. Suppose 12 - 4 = -b. Let y be p(b). Factor 5*d**y - 3*d**3 - 1 - 8*d**2 + 3*d + 4.
-3*(d - 1)*(d + 1)**2
Let w = -42 - -70. Factor -w + 2*z**2 - 35*z + 8*z**2 + 35*z**3 + 18.
5*(z - 1)*(z + 1)*(7*z + 2)
Let r = 30 - 30. Suppose r*n + n = 2*n. Factor 1/5*h**2 - 1/5*h**4 + 1/5*h**3 + 0 - 1/5*h**5 + n*h.
-h**2*(h - 1)*(h + 1)**2/5
Let i = -1041 + 7289/7. Let -6/7*q**2 - i*q**3 + 2/7*q**4 + 2/7*q + 4/7 = 0. Calculate q.
-1, 1, 2
Let x(t) be the second derivative of -t**7/28 - 13*t**6/10 + 3*t**5/20 + 13*t**4/2 - t**3/4 - 39*t**2/2 - 296*t - 2. Determine h so that x(h) = 0.
-26, -1, 1
Determine r so that 18/11*r**2 + 40/11*r**3 - 40/11*r - 24/11 + 6/11*r**4 = 0.
-6, -1, -2/3, 1
Let v(c) = -6 + 7 - c + 3*c**2 - 6*c**2 + 2*c**2. Let q(p) = -4*p**2 + 26*p + 134. Let w(f) = q(f) - 6*v(f). Factor w(l).
2*(l + 8)**2
Let r(u) = u**3 + 26*u**2 - 2*u - 25. Let p be r(-26). Factor -30*s**2 + p*s - s**3 + 10*s**3 - 6*s**3.
3*s*(s - 9)*(s - 1)
Let a(s) be the first derivative of -s**3/3 + s**2/2 + 90*s + 433. Factor a(k).
-(k - 10)*(k + 9)
Let v = -40 + 44. Let m be v/(-10) + 65/(-200)*-2. Find r such that 0*r + 0 - 1/4*r**2 - 1/4*r**3 + 1/4*r**4 + m*r**5 = 0.
-1, 0, 1
Suppose 3*x = -1 + 7. Factor -3*d**3 + 6*d**2 + 4*d**3 - d**x - 6*d**2.
d**2*(d - 1)
Let u(z) be the first derivative of 20 + 2*z**2 + 0*z + 1/8*z**4 + 3/2*z**3. Factor u(v).
v*(v + 1)*(v + 8)/2
Factor -1/6*v**2 - 2/3 - 2/3*v.
-(v + 2)**2/6
Let y be 196/3 - 4/(-3). Let b = y + -66. Factor 1/3*v**2 + b*v + 1/3.
(v + 1)**2/3
Let r(t) be the first derivati