3 - 54*p**4 + f = 0 for p.
-2/7, 0, 1, 2
Let q(t) be the third derivative of -t**8/448 + 3*t**7/56 - 21*t**6/160 - 71*t**5/80 + 39*t**4/16 - 5*t**2 + 32*t. Solve q(u) = 0.
-2, 0, 1, 3, 13
Let u be (24 - 13) + -6 + (-1)/1. Let v(i) be the second derivative of -1/50*i**5 - 18/5*i**2 + 4*i + 0 - 4/15*i**u - 7/5*i**3. Factor v(s).
-2*(s + 2)*(s + 3)**2/5
Suppose 0 = -q - 5*t + 22, q + 2 = 4*t - 3. Suppose -q*d = -2*d - 10. Factor -4 - 2*p**d + 12 - 12 + 6*p**2.
4*(p - 1)*(p + 1)
Let d(g) be the first derivative of -g**7/14 - g**6/5 - 3*g**5/20 - 113*g + 152. Let o(s) be the first derivative of d(s). Find v, given that o(v) = 0.
-1, 0
Let d = 1570 - 1568. Let f(c) = c**2 + 5*c + 4. Let p be f(-4). Factor 4*l - l**d + p*l**2 - 12*l + 0*l**2.
-l*(l + 8)
Solve -4*v**3 - 366/13*v**2 - 576/13*v + 2/13*v**4 + 0 = 0.
-3, 0, 32
Factor 2/9*k**2 + 0 + 0*k**3 + 0*k - 2/9*k**4.
-2*k**2*(k - 1)*(k + 1)/9
Let m = 5781 + -5778. Let n(l) be the second derivative of 45/2*l**2 - 5*l + 0 - 25/3*l**m + 5/12*l**4. Factor n(a).
5*(a - 9)*(a - 1)
Let m be 2720/(-120)*(1 - (-242)/4). Let z = -6946/5 - m. Find q, given that -z*q + 18/5 + 6/5*q**2 = 0.
1, 3
Suppose -19 = 4*d + 5*p, -3*p + 20 = p. Let q = d - -14. Determine x so that 6*x - x**q - 37 + 35 + 3*x**3 - 6*x**2 = 0.
1
Let i(x) = -4*x + 57. Let k be i(13). Factor -13*p**2 + 23*p**2 - k*p**2 + 2880 + 240*p.
5*(p + 24)**2
Determine h so that -10*h + 1/2*h**2 + 50 = 0.
10
Let w(j) be the second derivative of -j**5/140 - 9*j**4/4 - 567*j**3/2 + 116*j**2 + 43*j. Let y(i) be the first derivative of w(i). Factor y(z).
-3*(z + 63)**2/7
Let b = -162 - -172. Factor b*l - 3*l**2 + 3*l + 2*l**2 + l**3 + 3*l**2 - 16*l.
l*(l - 1)*(l + 3)
Let l(f) be the first derivative of -1/3*f**3 + 15/2*f**2 + 1/120*f**5 + 26 + 1/16*f**4 + 0*f. Let x(w) be the second derivative of l(w). Solve x(j) = 0 for j.
-4, 1
Let z(j) be the first derivative of j**4/21 - 2*j**3/7 + 4*j**2/7 + 13*j + 75. Let f(i) be the first derivative of z(i). Determine u, given that f(u) = 0.
1, 2
Let p = 1/15 + 17/45. Let n = 24460 + -24456. Factor 2/9*y**3 + 0 + 0*y**2 + 0*y + p*y**n + 2/9*y**5.
2*y**3*(y + 1)**2/9
Let d(t) be the second derivative of -t**6/20 + 111*t**5/5 - 10803*t**4/4 - 11026*t**3 - 66603*t**2/4 + 492*t. Find k, given that d(k) = 0.
-1, 149
Let g = 294467/1134000 + -116/10125. Let k = 3/80 + g. Let k + 0*z - 2/7*z**2 = 0. What is z?
-1, 1
Let u(l) be the first derivative of 52 + 1/9*l**3 + 7/3*l**2 + 0*l. Factor u(k).
k*(k + 14)/3
Find m such that -31/7*m**2 + 0*m + 61/7*m**3 - 29/7*m**4 + 0 - 1/7*m**5 = 0.
-31, 0, 1
Let n be 19*17/((-3094)/42) + 1*5. Factor 0 - n*h - 2/13*h**2.
-2*h*(h + 4)/13
Let g(y) = -y**2 - 825*y - 2463. Let d be g(-3). What is l in -84/11 - 218/11*l**2 + 14/11*l**4 - 74/11*l**d + 362/11*l = 0?
-3, 2/7, 1, 7
Let t = -297 + 300. Solve 3*c**4 + 654*c**t + 8 - c**5 - 72 - 96*c - 20*c**2 - 638*c**3 = 0 for c.
-2, -1, 4
Let k(z) be the second derivative of z**4/28 - 11*z**3/14 + 36*z**2/7 - 23*z - 1. Determine n, given that k(n) = 0.
3, 8
Factor -4/5*h**3 - 1344*h - 324/5*h**2 - 1280.
-4*(h + 1)*(h + 40)**2/5
Solve 8*o**2 - 4/5*o**4 - 36/5 - 3*o**3 + 27*o = 0 for o.
-4, -3, 1/4, 3
Let s(o) = -o**3 - 19*o**2 - 18*o. Let x be s(-18). Suppose -f = -x*f - 32. Find c such that 32*c**2 - 579*c**3 - 2*c**5 + 587*c**3 - 6*c**4 - f + 0*c**5 = 0.
-2, 1, 2
Let z be (-3408)/288 - (-42)/(-36) - (-346)/16. Factor 9/8*c**3 - z*c + 3/8*c**4 - 27/8*c**2 - 9/2.
3*(c - 3)*(c + 1)**2*(c + 4)/8
Let h be ((-4)/26)/((-407)/(-121)). Let u = 4/37 - h. Factor u*j**2 + 12/13*j + 18/13.
2*(j + 3)**2/13
Let d(k) be the first derivative of 363*k**4/4 + 110*k**3 - 342*k**2 + 216*k - 4720. Determine o so that d(o) = 0.
-2, 6/11
Factor -8*r**2 - 22/7*r**3 - 24/7*r + 0.
-2*r*(r + 2)*(11*r + 6)/7
Find b such that 32*b**3 - 1/2*b**4 - 53361/2 - 743*b**2 + 7392*b = 0.
11, 21
Let i(k) be the first derivative of -k**4/4 - 52*k**3/3 - 285*k**2/2 - 414*k + 2649. Factor i(f).
-(f + 3)**2*(f + 46)
Let b(n) be the second derivative of -27/10*n**4 + 0 - 4/75*n**6 - 21/25*n**5 + 243/10*n**3 + 2187/10*n**2 - 292*n. Factor b(v).
-(v - 3)*(2*v + 9)**3/5
Let m(w) = -11*w**2 - 780*w - 50724. Let z(y) = 15*y**2 + 1040*y + 67633. Let t(q) = -11*m(q) - 8*z(q). Factor t(p).
(p + 130)**2
Let t(f) be the first derivative of 5*f**4/4 - 185*f**3 - 1132. Let t(x) = 0. What is x?
0, 111
Suppose 0 = m - 2*w - 4, 15*w + 1 = -m + 12*w. Suppose -57 = -3*v - 72, -m*r + v = -17. Factor 36/5*d - r*d**2 - 8/5 - 5*d**3.
-(d + 2)*(5*d - 2)**2/5
Let r = 85969/24 - 3582. Let w(f) be the third derivative of -1/84*f**7 - r*f**6 + 0*f + 0*f**3 - 1/24*f**5 + 0 + 0*f**4 - 16*f**2. Factor w(j).
-5*j**2*(j + 1)**2/2
Let p(r) = 3*r**2 + 104*r - 33. Let c be p(-35). Solve 600*j**2 - 155*j**c - 445*j**4 - 7*j - 30*j - 35*j**5 - 93*j + 165*j**3 = 0.
-13, -1, 0, 2/7, 1
Let c(y) be the first derivative of 0*y**5 + 0*y + 2/9*y**6 - 8/9*y**3 + 106 + 0*y**2 - y**4. Factor c(p).
4*p**2*(p - 2)*(p + 1)**2/3
Suppose 189 + 131 = -32*l. Let w be (-52)/(-39) - 4/24*l. Factor 0 + 2/9*t**5 - 4/9*t**4 + 0*t + 0*t**2 + 2/9*t**w.
2*t**3*(t - 1)**2/9
Suppose 18*t - 10 = 23*t. Let w be 37/(-13) + (-16)/(-16) - t. Suppose w*d**4 + 0 + 10/13*d**2 - 4/13*d - 8/13*d**3 = 0. Calculate d.
0, 1, 2
Let n(t) be the third derivative of t**7/1575 - 107*t**6/900 - 109*t**5/450 + 107*t**4/180 + 12*t**3/5 - 995*t**2. Let n(l) = 0. What is l?
-1, 1, 108
Suppose 5*d + 27 = -3*k, 4*d + 5*k + 12 = -7. Let q be (-15)/d + -2 - (-13 + 13). Factor 0*a**2 + 0 + a**3 - q*a**4 + 0*a - 1/2*a**5.
-a**3*(a - 1)*(a + 2)/2
Suppose d = 3*j, -2*j = -3*j - 4*d. Suppose -5*w - 3*q + 15 = -3, -5*w - 5*q + 20 = j. Factor 0*g + 2/3*g**2 + 1/3*g**5 + 0 - 1/3*g**w - 2/3*g**4.
g**2*(g - 2)*(g - 1)*(g + 1)/3
Let l(i) = 24 - i**2 - 41 + 34*i + 55. Let h be l(35). Factor -6*x**4 - 50/3*x**2 - 28*x**h - 8/3*x + 0.
-2*x*(x + 4)*(3*x + 1)**2/3
Let j = -45 - -684. Let w = j - 618. Factor 6*g**3 - w*g**2 - 9/8 + 75/8*g.
3*(g - 3)*(4*g - 1)**2/8
Factor -37 - 21/2*z**2 + 1/4*z**3 + 189/4*z.
(z - 37)*(z - 4)*(z - 1)/4
Let n(f) = 20*f**4 - 47*f**3 - 343*f**2 - 516*f - 222. Let y(v) = -25*v**4 + 46*v**3 + 344*v**2 + 518*v + 221. Let b(k) = -4*n(k) - 3*y(k). Factor b(l).
-5*(l - 15)*(l + 1)**2*(l + 3)
Let p(q) be the third derivative of -q**5/15 + 61*q**4/6 - 236*q**3/3 - q**2 - 69*q - 3. Factor p(o).
-4*(o - 59)*(o - 2)
Let x(v) be the second derivative of v**6/40 - 33*v**5/80 + 33*v**4/16 - 37*v**3/8 + 21*v**2/4 + 322*v + 1. Suppose x(w) = 0. Calculate w.
1, 2, 7
Let h(j) be the third derivative of 0*j**6 + 1/42*j**8 + 1/105*j**7 - 10 - 4*j**2 + 0*j + 0*j**5 + 0*j**4 + 0*j**3. Factor h(k).
2*k**4*(4*k + 1)
Let a(p) be the first derivative of -3*p**5/5 + 12*p**3 - 24*p**2 + 678. Let a(x) = 0. What is x?
-4, 0, 2
Let f(c) = 123 - c - 123 - 10*c**2. Let a(u) = -9*u**2. Let m(d) = 3*a(d) - 2*f(d). Factor m(h).
-h*(7*h - 2)
Suppose 0 - 2/7*k**4 - 4/7*k - 10/7*k**2 - 8/7*k**3 = 0. Calculate k.
-2, -1, 0
Let n be (-1)/9*(-3 + 7 + -10). Let b(s) be the third derivative of 1/30*s**5 + 11*s**2 - n*s**4 + 0 + 16/3*s**3 + 0*s. Suppose b(f) = 0. Calculate f.
4
Let i be (-4)/42*(-12 - 2). Let x(s) be the first derivative of 13 - i*s - 1/9*s**3 - 5/6*s**2. Find h such that x(h) = 0.
-4, -1
Suppose -3*i + 12 = -3. Suppose 21 = -i*t + 12*t. Find p such that 10*p + 5*p**2 + 1 - 2 + t + 3 = 0.
-1
Let v(a) be the second derivative of -a**5/20 + 457*a**4/36 - 964*a**3/9 + 296*a**2/3 + 2547*a. Determine u so that v(u) = 0.
1/3, 4, 148
Let r(n) be the third derivative of n**5/12 + 500*n**4/3 - 2062*n**2. Factor r(g).
5*g*(g + 800)
Let z = -309 - -314. Let d(a) be the first derivative of 1/4*a**6 - 3/8*a**4 + 3/10*a**z + 0*a + 0*a**2 - 12 - 1/2*a**3. Find r such that d(r) = 0.
-1, 0, 1
Factor 3/5*x**5 + 0*x**2 - 276/5*x**3 + 0 + 0*x + 273/5*x**4.
3*x**3*(x - 1)*(x + 92)/5
Let z = -493 - -514. Let x be z/9 + 11/((-44)/8). Factor 2/3*n + x*n**3 + 0 + n**2.
n*(n + 1)*(n + 2)/3
Let z be 10/6*958/(-15). Let a = -106 - z. Factor 8/9*b**4 - 10/9*b**3 + 0 + 0*b + a*b**2 - 2/9*b**5.
-2*b**2*(b - 2)*(b - 1)**2/9
Suppose -5*k = 23*k - 112. Suppose 5*f - 4*f**k - 6*f**5 + 24*f**3 - f - 12*f**4 + 10*f**5 - 16*f**2 = 0. What is f?
0, 1
Suppose -14 = -y + 5*v - v, -2*y - 2*v + 38 = 0. Suppose 3*c = -3*z - 0*c + y,