q**3 - 9*q**3 + 34*q**3 + q**4.
q**3*(q + 87)
Let t(c) = -17*c**2 - 3*c + 13. Let a be t(-6). Let d = -128 - a. Determine k, given that 12*k**2 + 453*k - 4*k**3 - d*k - 16 = 0.
-1, 2
Let b(z) be the first derivative of -2*z**3/3 - 118*z**2 - 234*z + 2070. Factor b(a).
-2*(a + 1)*(a + 117)
Let m be -7 - 0/1 - 192816/(-7488). Factor 12*p - m*p**2 + 21/4*p**3 + 9.
3*(p - 2)**2*(7*p + 3)/4
Suppose 2*x = u + 2, -5*x + 4 = 26*u - 29*u. Factor -4/3*o + 4/3*o**3 + 2/3 + 0*o**u - 2/3*o**4.
-2*(o - 1)**3*(o + 1)/3
Suppose 0 = 9*k - 12*k + 12, -4*o + 36 = -3*k. Suppose -5*j - y = -13, j = 4*y + 2 - o. Suppose 1/7*a**j + 0*a + 0 = 0. What is a?
0
Let p = 9062 - 9062. Let z(x) be the second derivative of -1/18*x**4 + 0*x**2 + 0 + p*x**3 - 2*x. Factor z(y).
-2*y**2/3
Suppose 186 = 4*l + 54. Suppose 12 = -7*v + l. Determine u, given that -3/8*u**4 + 3/8*u**2 - 9/8*u**5 + 9/8*u**v + 0*u + 0 = 0.
-1, -1/3, 0, 1
Let w(q) = 4*q**3 - 52*q**2. Let n be w(13). Let d(b) be the third derivative of 0*b**3 - 1/210*b**6 + 0 + n*b - 2*b**2 + 1/105*b**5 + 0*b**4. Factor d(v).
-4*v**2*(v - 1)/7
Suppose -461*g - 2168 = -469*g - 1076*g. Let f = -834/11 + 76. Suppose f*x**3 + 0 - 2/11*x**g + 0*x = 0. What is x?
0, 1
Let s = 20705/8278 + -5/4139. Let i(u) be the first derivative of 13/4*u**2 + s*u**3 + 1/10*u**5 + 2*u + 32 + 7/8*u**4. What is z in i(z) = 0?
-4, -1
Let n = 560 - 11199/20. Let p(l) be the third derivative of 14*l**2 + 0 + n*l**6 + 0*l**3 + 0*l + 4/9*l**4 - 1/315*l**7 - 4/15*l**5. Solve p(b) = 0.
0, 1, 4
Suppose 22*t + 6 = 25*t. Let r(y) = -y**5 + y**3 + y. Let f(l) = 11*l**5 + 6*l**4 - 5*l**3 - 9*l. Let g(s) = t*f(s) + 18*r(s). Solve g(q) = 0 for q.
-2, -1, 0
Let v(b) = 8*b**3 + 7*b**2 - 4*b - 13. Let x be v(-5). Let r = -7354/9 - x. Suppose r*u**4 + 0 + 8/9*u**2 + 0*u - 20/9*u**3 = 0. Calculate u.
0, 1/2, 2
Let d(l) be the first derivative of 3*l**4/20 + 4*l**3/5 - 87*l**2/10 + 72*l/5 - 1115. Suppose d(v) = 0. What is v?
-8, 1, 3
Factor 8*p - 3402 + 150*p**4 - 3*p**5 + 2268*p**2 + 21*p + 18377*p**3 - 19439*p**3 + 57*p - 5*p.
-3*(p - 42)*(p - 3)**3*(p + 1)
Let m(v) = -7*v + 15*v - 17*v - 7 + v**2. Let i be m(10). Determine n so that -13*n - 3*n**2 + 0*n**2 + 13*n - 1 + n**3 + i*n = 0.
1
Let c(u) be the third derivative of u**7/210 - 2*u**6/15 + 23*u**5/30 + 6*u**4 + 27*u**3/2 + 31*u**2 - 18. Factor c(p).
(p - 9)**2*(p + 1)**2
Factor 1/4*q**2 - 41/2*q + 1/4*q**3 + 20.
(q - 8)*(q - 1)*(q + 10)/4
Let u be 137/((-3425)/(-30))*(57/63 + 2/(-3)). What is z in -u*z**2 + 6/7*z - 4/7 = 0?
1, 2
Let t(o) be the third derivative of o**6/30 - 193*o**5/5 + 28033*o**4/2 - 167042*o**3/3 - 51*o**2. Factor t(u).
4*(u - 289)**2*(u - 1)
Let n(k) be the third derivative of -1/6*k**4 + 1/30*k**6 + 1/15*k**5 + 0*k**3 - 2/105*k**7 + 2*k + 32*k**2 + 0. Find o, given that n(o) = 0.
-1, 0, 1
Let m(y) = -4*y**2 + 15*y + 304. Let i be m(-7). Let h(t) be the second derivative of 9/4*t**2 + 1/16*t**4 - 13*t + 0 - 7/8*t**i. Factor h(f).
3*(f - 6)*(f - 1)/4
Let s(r) = -r**3 + 27*r**2 - 50*r + 5. Let c be s(25). Let l(v) be the first derivative of 0*v**2 - 2/5*v**c - 5 + 2*v**4 + 0*v**3 + 0*v. What is p in l(p) = 0?
0, 4
Find p, given that 55/2*p**3 + 295/6*p**2 + 70/3*p - 5/6*p**5 + 5/6*p**4 + 0 = 0.
-4, -1, 0, 7
Let u be (-1 - 11)/(-3) + -4. Suppose 0 = 2*c - u*c - m - 6, 0 = -3*m - 6. What is v in v**5 + 5*v - c*v**3 - 2*v - v**4 + 2*v**4 - 2*v**2 + 1 - 2*v = 0?
-1, 1
Let w(d) be the third derivative of d**8/12 + 40*d**7/21 + 91*d**6/6 + 142*d**5/3 + 70*d**4 + 48*d**3 - 35*d**2 - 13. Determine i, given that w(i) = 0.
-6, -1, -2/7
Let b(n) = -n**2 + 12*n - 8. Let q be b(11). Suppose 4*g - q = 9. Factor 2*a**2 + 18 - 3*a + g*a - 12*a.
2*(a - 3)**2
Find r, given that 334/9*r**3 - 84*r**2 - 16/3*r**4 + 712/9*r - 2/9*r**5 - 80/3 = 0.
-30, 1, 2
Let y(t) be the first derivative of -3*t**5/5 - 81*t**4 + 220*t**3 - 3619. Factor y(q).
-3*q**2*(q - 2)*(q + 110)
Let d be (-1 + 4/2)*(12 + -10). Suppose -2*l + d*l - 5*l = 0. Factor l*w + 0 + 15/2*w**2 - 3/2*w**3.
-3*w**2*(w - 5)/2
Let z(c) be the first derivative of c**6/24 - c**5/4 - c**4/8 + 5*c**3/6 + c**2/8 - 5*c/4 - 3776. Solve z(q) = 0.
-1, 1, 5
Let g(j) = 83*j**2 - 306*j + 1. Let r(c) = 83*c**2 - 311*c. Let b(s) = -4*g(s) + 5*r(s). Find n, given that b(n) = 0.
-1/83, 4
Let s = 1/12937 - -38809/25874. Determine a so that -s*a**4 + 144*a + 18*a**3 - 78*a**2 - 96 = 0.
2, 4
Let n(i) be the third derivative of -5*i**8/336 + 73*i**7/21 - 575*i**6/2 + 23750*i**5/3 + 312500*i**4/3 + i**2 - 2*i + 99. Find b such that n(b) = 0.
-4, 0, 50
Let j(a) = -2*a**2 - 43*a - 169. Let y be j(-16). Let k be 904/6 - y/14*-8. Suppose k*n - 3364/3*n**2 - 16/3 = 0. What is n?
2/29
Let g(z) be the third derivative of z**6/30 - 254*z**5/15 + 16129*z**4/6 + 345*z**2. Determine h, given that g(h) = 0.
0, 127
Suppose 60 - 483 = -t - 140*t. Let x(m) be the first derivative of -19 + 0*m + 4/21*m**t + 8/7*m**2. Find p such that x(p) = 0.
-4, 0
Let w(c) be the third derivative of -c**8/5040 - 11*c**7/1260 - 6*c**3 + 2*c**2 - 29. Let l(t) be the first derivative of w(t). Solve l(f) = 0 for f.
-22, 0
Factor -504 - 2/3*u**3 + 118/3*u**2 + 176*u.
-2*(u - 63)*(u - 2)*(u + 6)/3
Solve 468*v + v**2 - 149 - 44*v - 146*v - 130*v = 0 for v.
-149, 1
Let s(x) be the second derivative of -1/36*x**4 + 0*x**3 + 0*x**2 + 3*x + 1 + 0*x**5 + 1/90*x**6. Factor s(r).
r**2*(r - 1)*(r + 1)/3
Let k(s) be the third derivative of -s**6/900 + 7*s**5/90 - 25*s**4/12 + 25*s**3 - 1755*s**2. Solve k(t) = 0 for t.
5, 15
Let m(l) be the second derivative of -1/2*l**4 + 0*l**2 + 19*l + 1/180*l**6 + 1/12*l**5 + 0 - 5/6*l**3. Let c(x) be the second derivative of m(x). Factor c(z).
2*(z - 1)*(z + 6)
Let b(c) = 3*c - 2*c - 492 + 493. Let y(w) = 3*w**2 + 30*w + 27. Let l(a) = 15*b(a) + y(a). Find f such that l(f) = 0.
-14, -1
Let z(q) = 5*q - 52. Let l be z(11). Determine c, given that -c**l - 1929*c + 0*c**3 - 15*c**2 + 1929*c = 0.
-15, 0
Let j = -48 - -51. Solve 10*b**2 + 5*b + 7*b + 64*b**j - 66*b**3 = 0.
-1, 0, 6
Suppose 14 + 10 = 2*z. Suppose -5*d**3 + 33 - 10*d**2 + 13*d - 3 + z*d = 0. Calculate d.
-3, -1, 2
Let d(g) be the first derivative of -g**7/105 - g**6/30 - g**5/24 - g**4/48 - 65*g**2/2 + 106. Let h(y) be the second derivative of d(y). Factor h(a).
-a*(a + 1)*(2*a + 1)**2/2
Let w = 286 - 262. Factor -3*j**2 + 2*j**2 - 3*j**2 - w*j.
-4*j*(j + 6)
Let l = 115546 + -583087/5. Let h = l + 1072. Factor 6/5*q - 3/5*q**3 + 0 - h*q**2.
-3*q*(q - 1)*(q + 2)/5
Let z(p) = p**2 + 196*p + 2. Let h be z(0). Let l = 6743/8 + -841. Suppose -l - 3/2*g + 3/8*g**h = 0. Calculate g.
-1, 5
Determine q so that 1558/5*q**2 + 304198/5*q + 302642/5 + 2/5*q**3 = 0.
-389, -1
Let r be (-535)/(-60) - ((-95)/(-30) - 3). Let q be (-23)/(-4) - (-30)/60. Determine u, given that -q*u + r*u**2 + 5/2*u**3 - 5 = 0.
-4, -1/2, 1
Let u(f) be the first derivative of -f**6/360 - f**5/5 - 6*f**4 + 41*f**3/3 + 18. Let i(w) be the third derivative of u(w). Solve i(j) = 0 for j.
-12
Let t(f) be the first derivative of f**3 + 2*f**2 + 81 + 3*f**2 + 5*f**2 + 48*f + 5*f**2. Solve t(o) = 0.
-8, -2
Let n be 12/30 + 39/15. Let g be ((-1)/n)/(22/(-198)). Factor -16*a + 3*a**3 + 0*a**3 - 6 + 9*a - 2*a**g.
(a - 3)*(a + 1)*(a + 2)
Suppose 13*o - 255 = 8*o. Let u = -41 + o. Factor -5*j**3 + 2*j**2 + 3*j**2 - u + 5*j + 5.
-5*(j - 1)**2*(j + 1)
Suppose 2*a - 237 + 149 = 0. Factor 4*u**3 - 6*u + 10*u + 288 - a*u - 116*u + 8*u**2.
4*(u - 3)**2*(u + 8)
Let w be (4 + 1/(-1))*49/((-173901)/78)*-7. Factor 0 + 4/13*h**2 - 2/13*h**3 + w*h.
-2*h*(h - 3)*(h + 1)/13
Let j(i) be the first derivative of -45 - 4/9*i**3 - 56/3*i + 10*i**2. Determine o, given that j(o) = 0.
1, 14
Suppose -5*t + 19*t + 1539 - 1567 = 0. Factor b - 7/3*b**t + 0.
-b*(7*b - 3)/3
Let v = 47 - 47. Let b = -6325 + 6330. Factor 1/4*o**b + 0*o**3 + 0 + 0*o + 1/4*o**4 + v*o**2.
o**4*(o + 1)/4
Let s be 11 + (-12)/16*-4. Suppose -w + 14 = 3*m, -w - s*m = -10*m - 18. Solve 1/3*u**w + 25/3 - 10/3*u = 0.
5
Let x(a) = -13*a - 64. Let i(b) = 9*b + 43. Let u(v) = 7*i(v) + 5*x(v). Let t be u(-15). Factor 23 - 2*m**3 + 17 + 30*m**2 + t*m**3 + 60*m - 4*m**3.
5*(m + 2)**3
Let n(s) be the first derivative of 3*s**5/10 - 3*s**4/2 - 45*s**3/2 - 810. Factor n(m).
3*m**2*(m - 9)*(m + 5)/2
Suppose 9*i = 6*i - i. Let k(z) be