 4, 1 + 7 = 2*p + 4*x. Let s(z) be the second derivative of 1/30*z**5 + 0 + 1/135*z**6 - 32*z + 1/27*z**p + 0*z**2 + 0*z**3. Solve s(f) = 0.
-2, -1, 0
Let b(p) = 6*p**3 + 273*p**2 - 24042*p + 46804. Let s(w) = -w**3 + 5*w**2 + 3*w + 2. Let g(x) = -3*b(x) - 21*s(x). Factor g(h).
3*(h - 153)**2*(h - 2)
Let i = -61293/40 - -4597/3. Let v(y) be the third derivative of -1/4*y**3 + 0*y + i*y**5 + 1/24*y**4 - 18*y**2 + 0. Solve v(k) = 0 for k.
-3, 1
Let y(x) be the second derivative of x**6/180 - 11*x**5/30 + 19*x**4/12 + 91*x**3/9 + 205*x**2/12 - 6874*x. Factor y(p).
(p - 41)*(p - 5)*(p + 1)**2/6
Let v be 4/(-26) - 69*86/(-38571). Solve 0*p**2 + v*p**4 + 0*p + 0*p**3 + 2/5*p**5 + 0 = 0 for p.
0
Let w = -2229 - -15635/7. Let y be (558/42 + -13)*(-304)/114*(1 - 4). Let -w*q - 2/7*q**3 - y*q**2 + 0 = 0. Calculate q.
-4, 0
Let h(o) = 235*o**3 + 8980*o**2 + 69420*o + 158625. Let x(s) = 5*s**3 + 191*s**2 + 1477*s + 3375. Let q(f) = 2*h(f) - 95*x(f). Factor q(b).
-5*(b + 5)**2*(b + 27)
Suppose -307*t = -313*t + 24. Suppose -5*j = 5*o - 4*o - 2, j = 2*o - t. Factor -4/5*k**4 + j - 8/5*k**2 + 0*k + 12/5*k**3.
-4*k**2*(k - 2)*(k - 1)/5
Suppose -17*v + 6298 = 1436. Let l be (-16)/42*(-429)/v. Let -6/7*u**2 + 2/7*u**3 + 0 + 6/7*u**4 - l*u + 2/7*u**5 = 0. Calculate u.
-2, -1, 0, 1
Find y such that -68*y**2 - 1/2*y**3 + 0 + 137/2*y = 0.
-137, 0, 1
Let g(t) be the first derivative of -5*t**6/12 - 5*t**5 + 55*t**4/8 + 680*t**3/3 + 460*t**2 - 1600*t + 5743. Let g(n) = 0. What is n?
-8, -4, 1, 5
Let m be ((-62)/217)/(-2 + (26/14 - 0)). Suppose -1/2*r**5 + 9/2 + 5/2*r**4 - 7*r**m - r**3 + 3/2*r = 0. What is r?
-1, 1, 3
Let a = 304288 + -304284. Factor -77/3*s**a + 523/3*s**3 + 396*s - 474*s**2 - 72 + 4/3*s**5.
(s - 6)**3*(s - 1)*(4*s - 1)/3
Let d(a) be the second derivative of 2*a**6/15 - 54*a**5/5 + 904*a**4/3 - 3036*a**3 + 7406*a**2 - 833*a. Factor d(t).
4*(t - 23)**2*(t - 7)*(t - 1)
Determine q so that -50/3*q + 0 + 248/15*q**2 + 2/15*q**3 = 0.
-125, 0, 1
Let h(c) be the first derivative of -35/2*c**2 - 5/3*c**3 + 0*c + 56. Factor h(j).
-5*j*(j + 7)
Let z(t) be the first derivative of 1/21*t**3 - 3/28*t**4 + 3/14*t**2 + 118 + 1/35*t**5 - 2/7*t. Factor z(g).
(g - 2)*(g - 1)**2*(g + 1)/7
Let i(m) be the first derivative of m**4/18 - 10*m**3/9 + 56*m**2/9 - 2201. Find o, given that i(o) = 0.
0, 7, 8
Suppose -5*l + 2*u = 2, -8*l - u = -11*l. Let i(o) be the first derivative of 2/11*o**3 - 2/11*o**l + 0*o**4 - 2/55*o**5 - 20 + 0*o. Let i(f) = 0. Calculate f.
-2, 0, 1
What is l in 7519*l**3 + 91561*l + 415*l**4 + 4689*l**3 + 533439*l + 167*l**3 + 153125*l**2 + 5*l**5 = 0?
-25, -8, 0
Let j(r) = -r + 1. Let d(q) = 2*q - 9. Let n be d(5). Let x(w) = 2*w**2 - 20. Let t(i) = -2. Let m(f) = n*x(f) + 6*t(f). Let k(v) = 8*j(v) + m(v). Factor k(g).
2*(g - 6)*(g + 2)
Find r such that -1/4*r**2 + 182*r - 33124 = 0.
364
Factor 5*t**3 - 39168 - 39168 + t + 78336 - 4*t**3 - 2*t**2.
t*(t - 1)**2
Let a(r) be the second derivative of -9*r**7/14 + 29*r**6/10 - 9*r**5/10 - 9*r**4 + 4*r**3 - 1134*r + 1. Solve a(y) = 0.
-1, 0, 2/9, 2
Suppose 2*t = -3*g + 3311, -2*t - t - 3*g + 4965 = 0. Let 97 + 5*p**2 - t*p + 1549*p + 3 = 0. Calculate p.
1, 20
Let w(q) be the first derivative of -15/2*q**4 + 5/6*q**6 + 10/3*q**3 - 15*q + 25/2*q**2 + q**5 - 27. Solve w(r) = 0.
-3, -1, 1
Let s(o) be the second derivative of 16/15*o**3 + 0*o**2 + 89*o - 1 + 3/5*o**4 + 1/25*o**5. Determine c so that s(c) = 0.
-8, -1, 0
Let w(z) be the third derivative of -z**6/120 - 423*z**5/20 - 178929*z**4/8 - 25228989*z**3/2 - z**2 - 5*z - 5. Factor w(i).
-(i + 423)**3
Determine b, given that -36*b**4 + 120*b**2 - 20*b**3 - 53*b**3 - 45*b**3 + 8*b**4 + 208*b - 32 + 66*b**3 = 0.
-2, 1/7, 2
Let d(t) be the first derivative of 3/5*t**5 + 27/28*t**4 - t**3 + 1/14*t**6 - 15/7*t**2 - 319 + 0*t. Determine a so that d(a) = 0.
-5, -2, -1, 0, 1
Let m(y) be the first derivative of -20*y**3/27 + 176*y**2/9 - 484*y/3 + 4003. Factor m(t).
-4*(t - 11)*(5*t - 33)/9
Let s(v) = -v**2 + 30*v + 62. Let x be s(26). Let -5*c**5 + 160*c**2 + 8*c**4 - x*c**3 - 80*c + 46*c**3 + 19*c**4 + 13*c**4 = 0. What is c?
0, 2
Let q be 7*(-3)/(-12) + (-13)/(-52). Factor -40 + 14*i - 5*i**q + 18*i - 62*i.
-5*(i + 2)*(i + 4)
Find s, given that -35 + 28 - 11*s - 13*s**2 + 9 = 0.
-1, 2/13
Let k(g) be the first derivative of -g**6/4 - 18*g**5/5 + 264. Find s, given that k(s) = 0.
-12, 0
Let v(k) = 38*k**3 - 7*k**2 + 14*k - 4. Let f be v(2). Let y = 2704/9 - f. Solve -2/9 + 2/3*c**4 - 4/9*c**2 + 2/9*c**5 + y*c**3 - 2/3*c = 0.
-1, 1
Let i(g) be the second derivative of g**5/12 + 1075*g**4/36 + 29680*g**3/9 + 28090*g**2 + 3416*g. Factor i(m).
5*(m + 3)*(m + 106)**2/3
Let t(r) be the second derivative of -r**4/12 + 2*r**3 + 65*r**2/2 + 140*r. Let j be t(16). Factor -j - 9/2*f**3 - 1/2*f + 6*f**2.
-(f - 1)*(3*f - 2)*(3*f + 1)/2
Let j = 1455196/237633 + -18/7201. Let b = -60/11 + j. Solve 1/6*s**2 + b + 5/6*s = 0 for s.
-4, -1
Suppose -11*w - 12223 = -3676. Let c = w - -779. Let 0 + 10/7*m**3 + 22/7*m**c + 12/7*m = 0. What is m?
-6/5, -1, 0
Let d = 64 - 61. Factor -d*z**3 - 8*z + 8*z**2 - 11*z**3 + 12*z**3.
-2*z*(z - 2)**2
Let a be 3/(-27) + (-2745)/81. Let l be (-6)/(-28) - (a/7)/17. Factor -7/4*u**3 - 4*u**2 - l - 11/4*u.
-(u + 1)**2*(7*u + 2)/4
Find k such that 1/5*k**4 - 16 - 48/5*k + 16/5*k**2 + 12/5*k**3 = 0.
-10, -2, 2
Factor 720 + 346*c + 17*c + 6*c**2 - 199*c - 2*c**2.
4*(c + 5)*(c + 36)
Let m(a) be the first derivative of -a**4/2 - 118*a**3/3 + 122*a**2 + 2350. Suppose m(c) = 0. Calculate c.
-61, 0, 2
Find o, given that 34/7*o**4 - 16*o**3 - 40/7 + 30/7*o**2 + 136/7*o = 0.
-1, 5/17, 2
Let q be 60/(-1 - -6) + -4. Suppose 11*l**2 + 8*l + l**2 + q - 12 = 0. Calculate l.
-1, 1/3
Let k = 172 - 161. Factor 5*v**2 + k - 13*v + v**3 - 12 + 8.
(v - 1)**2*(v + 7)
Solve -38/3*x**2 + 0 + 38/3*x**4 + 0*x - 2/3*x**5 + 2/3*x**3 = 0 for x.
-1, 0, 1, 19
Let w(k) be the first derivative of -k**4/36 - k**3/9 + 211*k - 248. Let l(m) be the first derivative of w(m). Solve l(i) = 0 for i.
-2, 0
Let m be 104/2 + (-2)/((-14)/21). Let h be -6 + 155/25 - (-29)/m. Factor 18/11 + h*x**2 - 24/11*x.
2*(2*x - 3)**2/11
Let v = 317 - 312. Suppose v*b = x, -3*x = -15*b + 14*b. Find m such that 1/3*m**5 + 0*m**2 + x + 0*m**3 - 1/3*m**4 + 0*m = 0.
0, 1
Suppose -8*l + 34*l + 16 = 68. Factor -1 - 1/2*r**3 + 3/2*r**l - 1/2*r**4 + 1/2*r.
-(r - 1)**2*(r + 1)*(r + 2)/2
Let q(g) be the third derivative of 0 + 187*g**2 + 5/24*g**4 + 0*g + 70/9*g**3 - 1/36*g**5. Let q(p) = 0. Calculate p.
-4, 7
Let a = -429 - -479. Solve -3*c**2 + a*c**3 + 4*c**2 + 2*c - 53*c**3 - c**4 + c**5 = 0 for c.
-1, 0, 1, 2
Let n(a) = -5*a**3 + 70*a**2 + 46*a - 642. Let w be n(14). Factor -20/7*h**3 - 2 - 44/7*h - 2/7*h**4 - 48/7*h**w.
-2*(h + 1)**3*(h + 7)/7
Let z = 92501 + -92499. Factor -1/4*s**3 + 0 - s**z - s.
-s*(s + 2)**2/4
Suppose -16*m = -3*a - 19*m + 42, 24 = 3*a + m. Factor 0*g + 57/7*g**4 + 0*g**2 - 18/7*g**3 - 9/7*g**a + 0.
-3*g**3*(g - 6)*(3*g - 1)/7
Let w(h) = -7*h**2 + 428*h + 6. Let d(p) = 4*p**2 - p - 2. Let z(o) = 3*d(o) + w(o). Factor z(l).
5*l*(l + 85)
Let k(p) be the third derivative of 11/8*p**4 + 9*p**3 + 0 + 4*p + 1/20*p**5 + 42*p**2. Factor k(t).
3*(t + 2)*(t + 9)
Let g(s) be the second derivative of s - 1/14*s**3 - 11*s**2 + 1/140*s**5 + 0*s**4 + 0. Let k(c) be the first derivative of g(c). Factor k(o).
3*(o - 1)*(o + 1)/7
Let s = -870 + 876. Let v(l) be the second derivative of 1/6*l**s + 0*l**2 + 17*l + 1/12*l**4 + 0 - 1/3*l**3 + 2/5*l**5. Solve v(d) = 0.
-1, 0, 2/5
Let b(a) = a**3 - 6*a**2 + 22*a - 83. Let z be b(5). Suppose -z*m = -9*m. Suppose m + 10/21*p**3 + 8/21*p + 16/21*p**2 + 2/21*p**4 = 0. Calculate p.
-2, -1, 0
Find k such that 19 - 55 - 4*k**4 + k**4 + 32 - 6*k**3 + 21*k**2 + 40 + 60*k = 0.
-2, -1, 3
Let l(m) = -3*m**2 - 5*m + 18. Let k(s) = -s**2 - 2*s + 1. Let t(d) = 2*k(d) - l(d). Let q be t(4). Factor -2/7*w**3 + 0 + w**2 + 2/7*w - w**q.
-w*(w - 1)*(w + 1)*(7*w + 2)/7
Let a(s) be the second derivative of -8 - 26*s**3 + 2*s**4 - 9*s + 507/4*s**2. Let a(n) = 0. What is n?
13/4
Let c(o) be the third derivative of o**8/504 + o**7/189 - o**6/54 - 2*o**5/27 - 2*o**4/27 + 289*o**2 - o. Determine k, given that c(k) = 0.
-2, -1, -2/3, 0, 2
Let i = 1454727/7 + -207818. Suppose 12 - 4 = 4*f. 