f g(h). Factor d(m).
2*(m - 3)*(m + 2)**2/7
Factor 26/9*k**2 - 4/9*k**3 - 2/9*k**4 + 0 - 20/9*k.
-2*k*(k - 2)*(k - 1)*(k + 5)/9
Find i, given that 1074*i**3 - 1047*i**3 + 40*i**2 - 3*i**4 - 27*i - 37*i**2 = 0.
-1, 0, 1, 9
Suppose -4*y + 4*g - g = -5, 2*g = -y + 15. Suppose -4*b + 1 = y, -5*b - 11 = -3*h. Let 4/5*c**h - 1/5*c**3 + 0 - 3/5*c = 0. Calculate c.
0, 1, 3
Let p(i) = 2*i**4 - 34*i**3 + 75*i**2 - 4*i - 106. Let k(v) = -5*v**4 + 98*v**3 - 225*v**2 + 12*v + 316. Let m(t) = 3*k(t) + 8*p(t). Factor m(j).
(j - 2)**2*(j + 1)*(j + 25)
Let f(o) be the third derivative of -251*o**2 + 0 - 8/25*o**5 - 7/100*o**6 + 0*o + 0*o**3 - 1/5*o**4. Find y, given that f(y) = 0.
-2, -2/7, 0
Let u(r) be the second derivative of r**7/126 + r**6/15 - 29*r**5/60 - r**4/6 + 50*r**3/9 - 12*r**2 - r - 686. Determine q so that u(q) = 0.
-9, -2, 1, 2
Let n(j) = j**2 + j + 3. Let o(a) = 13*a**2 + 8*a**2 - 22*a - 20*a**3 + 19*a**3 + 43. Let i be o(20). Let b(y) = 1. Let c(p) = i*b(p) - n(p). Solve c(f) = 0.
-1, 0
Let o(a) be the first derivative of -11*a**6/420 + 2*a**5/15 - 23*a**4/84 + 2*a**3/7 - 213*a**2/2 - 215. Let x(l) be the second derivative of o(l). Factor x(c).
-2*(c - 1)**2*(11*c - 6)/7
Suppose -294 + 1220/9*h**2 - 14/9*h**4 - 434/3*h + 2/9*h**5 - 140/9*h**3 = 0. What is h?
-9, -1, 3, 7
Let q(u) = -31*u - 24. Let a be q(-1). Suppose a*g + g = 0. Factor g*h**4 - 1/4*h**5 + 0*h**2 + 0 + 1/4*h**3 + 0*h.
-h**3*(h - 1)*(h + 1)/4
Let l be 35*12/49*(-154)/(-22). Let 17 + l*y - 13 + 11*y**2 + 26*y**4 - 6*y**3 - 27*y**4 - 61 - 43 = 0. Calculate y.
-5, 2
Suppose -4*y + 950 + 962 = 0. Let l = 480 - y. Factor -27/4*i - 27/4 - 9/4*i**l - 1/4*i**3.
-(i + 3)**3/4
Let m(j) = j**2 + 18*j - 17. Let l be m(-19). Factor -1667*z**2 - 520*z + 3345*z**l - 1674*z**2 + 16900.
4*(z - 65)**2
Suppose -3*j - 249*g = -244*g - 59, j - 2*g = -17. Factor 0 - 9/7*a**2 + 3/7*a + 9/7*a**j - 3/7*a**4.
-3*a*(a - 1)**3/7
Suppose 54 = 4*b - 2*z, 0 = 5*b - z - 436 + 349. Factor 6*u**4 + b*u + 58/3*u**3 + 16/3 + 86/3*u**2 + 2/3*u**5.
2*(u + 1)**3*(u + 2)*(u + 4)/3
Let p(q) be the third derivative of -1/15*q**6 - 1/4*q**4 - 2 + 0*q - 1/210*q**7 + 0*q**3 - 9*q**2 - 13/60*q**5. Suppose p(s) = 0. Calculate s.
-6, -1, 0
Suppose 5*o - 411 = -3*h, -3*h - 429 = -16*o + 11*o. Let d be 3/o*-2*294/(-28). Determine x, given that -9/2 - d*x**2 - 15/4*x = 0.
-3, -2
Let c(k) = k**3 + 30*k**2 + 55*k - 24. Let u be c(-28). Solve 5*d + 21*d**3 + 15*d - 130*d**u - 35*d**5 - 134*d**3 - 20*d**2 - 22*d**3 = 0 for d.
-2, -1, 0, 2/7
Suppose 88 = 2*p + 20*p. Factor -p*f**3 - 5 + 5*f + 7*f + 8*f**2 - 8*f - 3.
-4*(f - 2)*(f - 1)*(f + 1)
Let i(t) be the third derivative of -t**7/105 - 7*t**6/60 - t**5/5 + 710*t**2. Factor i(p).
-2*p**2*(p + 1)*(p + 6)
Let r(k) be the second derivative of -3*k**5/20 + 7*k**4/4 + k**3/2 - 21*k**2/2 - 765*k. Factor r(y).
-3*(y - 7)*(y - 1)*(y + 1)
Find t such that 519*t**2 - 317/2*t**3 + 21/2*t**4 + 624*t - 64 = 0.
-1, 2/21, 8
Let z(f) be the first derivative of -f**4/8 + 27*f**3/2 - 2187*f**2/4 - 56*f - 62. Let y(l) be the first derivative of z(l). Factor y(m).
-3*(m - 27)**2/2
Let v = 0 + 1. Let y = 1 + v. Suppose -2*a**4 - 7*a**3 - 2*a + 2*a**y - 20*a**3 + 18*a**3 + 3*a + 8*a**5 = 0. Calculate a.
-1, -1/4, 0, 1/2, 1
Let k be 10 - 3 - (0 + (-3 - -7)). Suppose 6 = -2*l + 3*m, -k*m + 6 + 6 = 0. Suppose -12*q**4 + 38*q**2 - 12*q**5 - 73*q**2 + 3*q**l + 38*q**2 = 0. What is q?
-1, -1/2, 0, 1/2
Let a be -9 - (-427)/21 - (-48)/(-6). Find p, given that a*p - 2/3*p**2 + 4 = 0.
-1, 6
Find a, given that 282/5*a**3 - 3/5*a**4 + 480 + 1764/5*a**2 + 3576/5*a = 0.
-2, 100
Suppose 3*s = -2*n - 0*n + 33, 42 = 5*s - n. Let j(f) = -f**3 + 9*f**2 - 3*f + 29. Let u be j(s). Find c, given that -7/4*c + 1/4 + 3*c**u = 0.
1/4, 1/3
Let a = -3197/132405 - -11/485. Let v = a - -12293/5460. Let -3/2*r**4 + 0 + 9/4*r**3 - v*r**5 + 0*r + 3/2*r**2 = 0. What is r?
-1, -2/3, 0, 1
Let j = 589681/420 + -1404. Let o(t) be the third derivative of j*t**6 + 0*t**3 + 0*t + t**2 + 0 + 1/140*t**5 - 1/84*t**4 - 1/490*t**7. Factor o(d).
-d*(d - 1)*(d + 1)*(3*d - 2)/7
Let u be (-39909)/106*(8/6)/(-2). What is j in -4*j**3 - 126*j**2 + u*j**2 - 130*j**2 - j**3 = 0?
-1, 0
Factor 4272*s**2 - 60*s - 8539*s**2 + 50*s - 74*s + 4269*s**2.
2*s*(s - 42)
Let f(k) be the third derivative of 0*k + 0 + 1/240*k**5 + 1/32*k**4 + 0*k**3 + 30*k**2. Find o such that f(o) = 0.
-3, 0
Let b(k) = 2*k**2 + 150*k - 1326. Let t be b(8). Let x(g) be the first derivative of -3/32*g**4 + 0*g - 30 + 1/8*g**3 + 0*g**t. Determine r so that x(r) = 0.
0, 1
Let w(l) be the second derivative of -l**4/4 + 101*l**3 - 603*l**2/2 + 1489*l. Determine c, given that w(c) = 0.
1, 201
Let c(r) = 68*r + 121. Let y be c(-2). Let o be y/(-21) + (-184)/483. Find g, given that -2/3*g**2 + 0 - o*g**3 + 1/3*g**4 + 0*g = 0.
-1, 0, 2
Let k(m) be the second derivative of 5/36*m**3 + 54*m + 2*m**2 - 1/72*m**4 + 1. Factor k(s).
-(s - 8)*(s + 3)/6
Let r(h) be the second derivative of 7*h**5/20 - 13*h**4/4 - 4*h**3 - 3*h**2 - 12*h. Let c(z) be the first derivative of r(z). Factor c(u).
3*(u - 4)*(7*u + 2)
Let k = 1 + 92. Suppose -91 + k = b. Factor -z + 2 + 12*z**b - 15*z**2 - z**3 + 2*z**3 + z**2.
(z - 2)*(z - 1)*(z + 1)
Let a(l) = 93*l + 32. Let v be a(4). Let p = -401 + v. Factor -2/5*w + 2/5*w**p + 2/5 - 2/5*w**2.
2*(w - 1)**2*(w + 1)/5
Suppose 45*n - 9*n - 7*n - 162 = -25*n. Find o such that -5*o + 0 + 3/2*o**4 + 27/2*o**2 - 10*o**n = 0.
0, 2/3, 1, 5
Let b(m) be the first derivative of -10*m**6/3 + 42*m**5/5 + 15*m**4 - 104*m**3/3 - 24*m**2 + 1518. Solve b(r) = 0 for r.
-3/2, -2/5, 0, 2
Let o(s) be the second derivative of 0 - 1/42*s**4 + 4/7*s**2 + 5*s - 1/140*s**5 + 2/21*s**3. What is l in o(l) = 0?
-2, 2
Let b be -3 - -1 - (-8)/16*8. Factor 18*o - 2*o**b - 8*o + 54 + 4*o + 6.
-2*(o - 10)*(o + 3)
Suppose 344 = 27*j - 439. Find p such that 57*p**4 - 11*p**3 + j*p - 6*p**3 - 20*p**3 + 6*p**3 + 2*p**5 - 57*p**2 = 0.
-29, -1, 0, 1/2, 1
Let b = 82 - 79. Let p(v) be the first derivative of b + 0*v**4 + 6/25*v**5 - 2/5*v**3 - 3/10*v**2 + 1/10*v**6 + 0*v. Suppose p(c) = 0. Calculate c.
-1, 0, 1
Let b(r) be the third derivative of 13/96*r**4 - 1/480*r**6 + 100*r**2 + 0*r - 7/24*r**3 + 0 - 1/48*r**5. Factor b(d).
-(d - 1)**2*(d + 7)/4
Let w = -7 + 9. Determine j, given that j**4 + 7*j + w*j - j + 20*j**2 + 16*j**3 + 3*j**4 = 0.
-2, -1, 0
Let w(t) = 11*t + 6 - 5 + 6 - 81*t**2 + 83*t**2 + 5. Let a be 7/(-2)*(-60)/21. Let b(d) = -6*d**2 - 32*d - 36. Let v(g) = a*w(g) + 3*b(g). Factor v(q).
2*(q + 1)*(q + 6)
Let w(h) be the first derivative of 1/6*h**4 - 63 - 1/3*h**2 + 0*h + 0*h**3. Factor w(z).
2*z*(z - 1)*(z + 1)/3
Factor -1/3*d**3 - 1000*d + 6000 - 115/3*d**2.
-(d - 5)*(d + 60)**2/3
Find b, given that 1/8*b**5 - 27/8*b**3 + 13/2*b - 6 + 4*b**2 - 5/4*b**4 = 0.
-2, 1, 12
Factor -120 + 145/4*i + 5/4*i**2.
5*(i - 3)*(i + 32)/4
Let d(q) = -9*q**2 + 35*q - 623. Let p(l) = l**2 - 4*l + 78. Let h(o) = -6*d(o) - 51*p(o). Factor h(r).
3*(r - 10)*(r + 8)
Let i(s) = 8*s**2 - 20*s + 24. Let j be 10/((-2 - -7 - 4)*-2). Let k(u) = -2*u**2 + 7*u - 8. Let x(o) = j*i(o) - 16*k(o). Let x(c) = 0. What is c?
-2, 1/2
What is l in 640*l - 409600 - 1/4*l**2 = 0?
1280
Suppose 0 = 5*g + 5*j - 30, 37*g + j - 8 = 35*g. Factor -91*v - 274 - 137*v + 5*v**g + 38*v + 79.
5*(v - 39)*(v + 1)
Let v be (-3)/(-6)*(-14 - 5100/(-350)). Factor 0 - v*a**2 + 40/7*a.
-2*a*(a - 20)/7
Let j be 59422/(-7446)*30/(-55). Find f such that -76/17*f - 2/17*f**2 - j = 0.
-37, -1
Let f = -280170 + 1400852/5. Factor -14/5*p**4 + 36/5*p**3 + f*p**5 - 44/5*p**2 + 26/5*p - 6/5.
2*(p - 3)*(p - 1)**4/5
Find g such that 50710*g**2 + 0*g**3 + g**3 + 17*g - 50688*g**2 + 55*g = 0.
-18, -4, 0
Let z(l) be the third derivative of l**7/280 + 43*l**6/240 - 223*l**5/240 - 31*l**4/16 + 4559*l**2. Suppose z(g) = 0. Calculate g.
-31, -2/3, 0, 3
Solve 17157*d + 65*d**4 + 2*d**5 - 385*d**2 - 7*d**5 - 165*d**3 - 16667*d = 0 for d.
-2, 0, 1, 7
Suppose 8*v + 120 = 136. Let -8*c**2 - 3*c**v + 12*c**2 - 10*c + 12 - 3*c**2 = 0. Calculate c.
-6, 1
Determine a, given that -54/7*a**4 + 0 + 0*a**2 - 180/7*a**3 + 0*a + 2/7*a**5 = 0.
-3, 0, 30
Let d(g) be the third derivative of g**5/480 + 235*g**4/96 + 55225*g**3/48 + 52*g**2 - 1. Let d(n) = 0. Calculate n.
-235
Let j(m) be th