11*f**5 + 58/11*f**3 + 32/11 - 112/11*f**2 + 26/11*f**4 = 0.
-2, -1, 1/4, 2, 4
Let m(q) be the first derivative of q**6/30 - 23*q**5/25 - 5*q**4/2 + 1333. Find y, given that m(y) = 0.
-2, 0, 25
Let h(g) be the third derivative of -g**7/735 + g**6/420 + 3*g**5/70 + 11*g**4/84 + 4*g**3/21 + 106*g**2 + 2*g. Determine i so that h(i) = 0.
-1, 4
Determine y so that -72/7*y**3 + 656/7 - 180/7*y + 2/7*y**4 - 58*y**2 = 0.
-4, -2, 1, 41
Let q(g) = 31*g - 152. Let t be q(5). Factor 36*w**t - 4*w**5 + 9*w - 18*w**4 + w**2 - 3*w**2 - 28*w**2 + 7*w**5.
3*w*(w - 3)*(w - 1)**3
Let m(t) be the third derivative of t**8/1680 + t**7/1680 + t**5/60 + 51*t**2 + 2*t. Let a(n) be the third derivative of m(n). Factor a(y).
3*y*(4*y + 1)
Let b = 50 - 48. Factor 1036*k**2 + 84*k**3 + 18*k**4 + 10*k**3 - 150*k - 36 - 962*k**b.
2*(k - 1)*(k + 3)**2*(9*k + 2)
Let p(z) be the second derivative of 3*z**5/4 + 76*z**4/3 + 790*z**3/3 + 200*z**2 - 2*z - 608. Factor p(n).
(n + 10)**2*(15*n + 4)
Let a(p) be the second derivative of p**4/28 - 117*p**3/7 - 705*p**2/14 - 3*p + 609. Determine x so that a(x) = 0.
-1, 235
Let o be 31*-2*342/(-36). Let q = -587 + o. Factor 0 - 2/9*r**q + 2/9*r**3 - 4/9*r.
2*r*(r - 2)*(r + 1)/9
Suppose -4*b + 10620 = -0*b. Let v be b/420 - (-2)/(-28). Find y such that -9/4*y**3 + 1 - 3*y - v*y**2 = 0.
-2, -1, 2/9
Suppose 2*b - 1 - 3 = 0. Suppose -b*c = -5*c + 6. Determine o, given that -4 - 9*o**2 + 8*o + 13*o**2 - 8*o**c = 0.
1
Suppose -g - q = -1 - 6, g + 4*q - 16 = 0. Determine b so that 0*b**3 - 3*b**3 + 66*b**4 - 63*b**g + 3*b**5 - 3*b**2 = 0.
-1, 0, 1
Determine q, given that -270 - 50*q**4 + 5427/2*q - 500*q**5 - 18243/2*q**2 + 10315*q**3 = 0.
-5, 3/10, 4
Let g = -1296 - -1298. Let k = 386 + -383. Determine y so that 4/13 + 10/13*y + 2/13*y**k + 8/13*y**g = 0.
-2, -1
Let s(o) be the second derivative of -o**6/60 - 93*o**5/10 - 8833*o**4/6 - 11408*o**3 - 33856*o**2 - 1385*o. Factor s(g).
-(g + 2)**2*(g + 184)**2/2
Let n(s) be the third derivative of -s**5/12 + 85*s**4/12 - 725*s**3/6 - 163*s**2. Solve n(f) = 0 for f.
5, 29
Let k(y) be the first derivative of 13*y**2 - 4*y - 13. Let t be k(2). Find g, given that -11*g**2 + 144 - 4*g**2 + 19*g**2 + t*g = 0.
-6
Let p = -747640 + 747660. Find i such that -15/2*i**4 - 30*i - 15*i**2 + 55/2*i**3 + p = 0.
-1, 2/3, 2
Suppose -172/9*h - 2/9*h**2 - 710/3 = 0. What is h?
-71, -15
Let u(b) = -2*b**4 - 39*b**3 - 465*b**2 - 1296*b - 3. Let y(v) = -v**4 + v**3 + 3*v**2 - 3. Let k(j) = u(j) - y(j). Suppose k(x) = 0. What is x?
-18, -4, 0
Let m(n) be the third derivative of -n**6/720 + 11*n**5/180 - 41*n**4/144 + 5*n**3/9 - n**2 - 208. Solve m(p) = 0.
1, 20
Find r such that -53*r**5 - 39*r**3 + 20*r**5 + 94*r**5 - 58*r**5 + 33*r**2 - 33*r**4 + 0*r**4 + 36*r = 0.
-1, 0, 1, 12
Let r(l) = -16*l - 7. Let a be r(7). Let x = -99 - a. Factor x*q + 20 + 0*q**2 - 15*q**2 + 21*q**3 - 41*q**3 - 5*q**4.
-5*(q - 1)*(q + 1)*(q + 2)**2
Let x(h) be the second derivative of -2*h**6/15 + 312*h**5 - 608399*h**4/3 - 1040*h**3 + 1216800*h**2 + 6607*h. Solve x(z) = 0.
-1, 1, 780
Let l(b) be the third derivative of -507/280*b**7 - 1/6*b**3 + 533/80*b**6 + 61 + 0*b + 41/24*b**4 - 1837/240*b**5 + b**2. Factor l(y).
-(y - 1)**2*(39*y - 2)**2/4
Suppose -10*k + 672 = 672. Let v(b) be the second derivative of -4/51*b**3 - 4/17*b**2 + 1/102*b**4 + 1/170*b**5 + k + 10*b. Factor v(o).
2*(o - 2)*(o + 1)*(o + 2)/17
Find u, given that 16/3*u + 4*u**4 - 14/3*u**3 + 0 - 2/3*u**5 - 4*u**2 = 0.
-1, 0, 1, 2, 4
Let w(m) be the first derivative of -52 + 3/25*m**5 + 0*m + 375/2*m**2 - 147/20*m**4 + 115*m**3. Factor w(s).
3*s*(s - 25)**2*(s + 1)/5
Suppose -21*a = -19*a + 4, 4*z = 4*a + 24. Find p such that 500*p - 7*p**z + 200*p**2 - 52 + 70*p**4 - 4*p**5 - 240*p**3 + 52 - 7*p**4 = 0.
-1, 0, 5
Let y(q) be the second derivative of -q**4/6 + 21*q**3 + 64*q**2 + 358*q. Factor y(k).
-2*(k - 64)*(k + 1)
What is v in -12/5*v**4 + 669/5*v**2 + 108/5 + 177/5*v**3 + 588/5*v = 0?
-2, -1, -1/4, 18
Let d(l) be the first derivative of 2*l**5/3 + 101*l**4/3 + 530*l**3/9 - 316*l**2/3 - 104*l + 919. Solve d(r) = 0 for r.
-39, -2, -2/5, 1
Suppose 70*c + 186/7 - 16/7*c**2 = 0. Calculate c.
-3/8, 31
Let j = -59 + 59. Let u be 1/((-5)/3 - j - -2). Factor 2*t**2 + 4*t**4 + 6*t**u + 6*t**2 - 6*t**2.
2*t**2*(t + 1)*(2*t + 1)
Suppose -4*q + 12 = q + 3*y, 3*y = -3*q + 12. Let q*v**2 + 59*v - 26*v + 19*v - 4*v**2 = 0. What is v?
0, 13
Let z(a) = -5 - 8*a**2 - 2*a**3 + 1 + 0 + 3*a**3 + 13*a. Let r be z(6). Factor -9*i**2 + r + 64*i**2 - 3*i - 21*i + 17*i**2.
2*(6*i - 1)**2
Let b(i) = -i**3 - i**2 + 15*i + 24. Let h be b(4). Let o(v) be the first derivative of -18 - 4/5*v**2 - 4/3*v**3 + 0*v - 3/5*v**h. Suppose o(k) = 0. What is k?
-1, -2/3, 0
Let l be (-1608)/(-36) - (3 - (-7 - -2)). Find i, given that l*i**2 - 40 + 25/3*i**3 - 260/3*i = 0.
-6, -2/5, 2
Let z(a) be the first derivative of -a**6/1800 - a**5/40 - 13*a**3/3 - 8. Let p(v) be the third derivative of z(v). What is l in p(l) = 0?
-15, 0
Let x(i) be the third derivative of i**7/4200 + 47*i**6/1800 - 2*i**5/25 + 40*i**3 - 15*i**2 - 1. Let a(p) be the first derivative of x(p). Factor a(h).
h*(h - 1)*(h + 48)/5
Let s = -861616 - -861618. Suppose -10/19 + 8/19*u**s + 2*u = 0. Calculate u.
-5, 1/4
Factor -600 - 28/3*q**2 + 2/9*q**3 + 130*q.
2*(q - 15)**2*(q - 12)/9
Factor 0 - 156/5*p**2 - 6*p**3 + 3/5*p**4 - 168/5*p.
3*p*(p - 14)*(p + 2)**2/5
Factor 23/3*j**3 - 2/3*j**2 + 0*j - 10*j**4 + 0.
-j**2*(3*j - 2)*(10*j - 1)/3
Let c(y) = -y**5 + 4*y**4 + 4*y**3 - 8*y**2 - 5*y + 4. Let x(q) = 1911 - 2*q - 1911 + q**3. Let f(v) = 3*c(v) - 6*x(v). What is s in f(s) = 0?
-1, 1, 4
Let t(z) be the first derivative of -z**4/2 - 10*z**3/3 + 50*z**2 + 1747. Factor t(s).
-2*s*(s - 5)*(s + 10)
Let d(k) be the third derivative of 0*k**4 + 88*k**2 - 9/280*k**7 + 0 - 1/120*k**5 + 0*k**3 + 29/480*k**6 - k. Factor d(l).
-l**2*(l - 1)*(27*l - 2)/4
Let a(b) be the second derivative of -2*b**2 - 46*b + 0 + 1/6*b**4 - 1/3*b**3. Factor a(x).
2*(x - 2)*(x + 1)
Let q(h) = -8*h**3 - 51*h**2 + 8*h. Let a(g) = -10*g**3 - 54*g**2 + 8*g. Let r(j) = 6*a(j) - 7*q(j). Factor r(s).
-s*(s - 8)*(4*s - 1)
Let j = 174 - 188. Let i(w) = -12*w**3 + 50*w**2 - 2*w - 50. Let g(h) = 4*h**3 - 17*h**2 + h + 17. Let c(b) = j*g(b) - 5*i(b). Suppose c(p) = 0. Calculate p.
-1, 1, 3
Let q(j) be the second derivative of -95*j - 1/66*j**4 + 0 - 3/11*j**2 + 4/33*j**3. Find u such that q(u) = 0.
1, 3
Let m(g) be the first derivative of 0*g**5 - 4/33*g**6 + 0*g - 3 + 0*g**2 + 3/22*g**4 + 2/33*g**3. Suppose m(i) = 0. What is i?
-1/2, 0, 1
Let s be -27*70/(-150) + (-12)/1. Let p(i) be the first derivative of -s*i**5 + 8 + 0*i**2 + 81*i + 6*i**4 - 18*i**3. Solve p(d) = 0 for d.
-1, 3
Let q = 287334 + -2011336/7. Solve -5/7*r + q - 1/7*r**3 + 4/7*r**2 = 0 for r.
1, 2
Let p(n) be the first derivative of 1/12*n**3 - 50 + 1/2*n**2 + 0*n. Factor p(g).
g*(g + 4)/4
Let a(m) be the second derivative of -11808/7*m**3 - 5184/7*m**2 - 1250/21*m**7 - 2*m - 8760/7*m**5 - 13680/7*m**4 - 8900/21*m**6 + 17. Let a(c) = 0. What is c?
-6/5, -2/7
Let 104/23*j**2 - 36/23*j**4 - 120/23*j + 2/23*j**5 - 128/23 + 58/23*j**3 = 0. What is j?
-1, 2, 16
Let u(d) be the third derivative of -1/2*d**4 - d + 0 + 3/20*d**5 - d**2 + 1/20*d**6 - 1/70*d**7 - 2*d**3. Factor u(k).
-3*(k - 2)**2*(k + 1)**2
Let d be 65/(-65)*(-1 + 1). Let h(r) be the second derivative of 1/12*r**4 - 7*r + d*r**2 - 1/6*r**3 + 0. Factor h(a).
a*(a - 1)
Solve -8*f + 1/3*f**3 + 23/3*f**2 + 0 = 0 for f.
-24, 0, 1
Let y be (-15)/5*(-1 + 2/6). Factor -12*p**2 + 0 + 2*p**2 - 4 + 20*p - 6*p**y.
-4*(p - 1)*(4*p - 1)
Let o be (310/372)/(((-10)/12)/(20/(-40))). Let d be (-5)/6*21/(-35). Determine a, given that a**2 - 1/4*a**4 - 3/4 - o*a + d*a**3 = 0.
-1, 1, 3
Let s(z) = -z**2 - 5*z + 2. Let o be s(-5). Suppose 6*p = 3*j + 9, 200*p - 3*j = 205*p - 24. Factor 6/5*v**o + 0 - 3/5*v - 3/5*v**p.
-3*v*(v - 1)**2/5
Suppose 16 = j - 4*o, -3*o + 0*o = -3*j + 12. Let g = 1318093/4 - 329521. Let 0*l + 0 - 3*l**2 - 3/4*l**5 + g*l**4 + j*l**3 = 0. Calculate l.
-1, 0, 2
Let d(z) be the third derivative of 1/90*z**6 + 7/3*z**3 - 1/3*z**5 + 0 + 0*z + 25/6*z**4 + z**2. Let g(p) be the first derivative of d(p). Factor g(n).
4*(n - 5)**2
Let z(g) = -11*g**3 + 126*g**2 - 416. Let 