-30)/(-64). Let l(f) be the third derivative of b*f**4 + f**2 + 1/12*f**6 + 0*f + 0 - 5/12*f**5 + 5/3*f**3. Factor l(u).
5*(u - 2)*(u - 1)*(2*u + 1)
Let n(a) = -3*a**2 - 9946*a - 8426918. Let q(x) = 9*x**2 + 29816*x + 25280752. Let m(o) = 16*n(o) + 5*q(o). Factor m(p).
-3*(p + 1676)**2
Let f(i) = i**2. Let u(g) = 29*g - 38*g + 29*g - 2*g**2 + g**2 + 5. Let c(d) = -d - 1. Let r(h) = 5*c(h) + u(h). Let q(m) = 4*f(m) - r(m). Solve q(l) = 0 for l.
0, 3
Factor 45/8*m + 243/4 - 1/8*m**2.
-(m - 54)*(m + 9)/8
Factor 791*k**3 - 7*k**4 + 2319*k**3 + 525*k**3 - 260*k**2 - 778*k**2.
-k**2*(k - 519)*(7*k - 2)
Factor -3/5*d**2 + 1/5*d**3 - 4/5*d + 12/5.
(d - 3)*(d - 2)*(d + 2)/5
Let s(i) be the first derivative of 20 - 5*i**3 + 5/4*i**4 + 3*i**5 - 5*i**2 + 5/6*i**6 + 0*i. Factor s(x).
5*x*(x - 1)*(x + 1)**2*(x + 2)
Let s = -80 - -111. Suppose 5*t - 2*k - 21 = 0, 5*t + 2*k + k = s. Factor 5*y - 15*y**4 - t*y**3 - 5*y**2 - 5*y**4 + 25*y**4.
5*y*(y - 1)**2*(y + 1)
Factor n**5 - 3*n**5 + 6*n**5 - 20*n - 16*n**4 + 20*n + 12*n**3.
4*n**3*(n - 3)*(n - 1)
Let z(f) = -51*f**2 - 421*f - 843. Let v(w) = 244*w**2 + 2104*w + 4216. Let c(k) = 5*v(k) + 24*z(k). Let c(y) = 0. What is y?
-2, 106
Factor 219295*a + 219302*a + 3*a**2 - 439122*a + 522.
3*(a - 174)*(a - 1)
Let z = 23 - 20. Suppose z*v - 19 = -0*v - 5*u, 0 = -5*v + 3*u + 9. Factor 128*d - 3*d**2 + 3*d**3 - 122*d - 6*d**v.
-3*d*(d - 1)*(d + 2)
Suppose -3*k + 13 = 4*p, -33 = -k + p - 17. Find u, given that 8*u**2 - 1 - k*u**2 + 6*u**2 - 1 + 3*u - 2*u**3 = 0.
-1, 1/2, 2
Let k be (-1)/(-4)*-4*0. Suppose 10*t**3 + 2*t**5 + k*t**5 + 5*t**5 + 6*t**5 - 18*t**5 - 5*t**4 = 0. Calculate t.
-2, 0, 1
Let f(d) be the first derivative of -d**8/420 - d**7/210 + d**6/45 + 11*d**3/3 + 33. Let p(j) be the third derivative of f(j). Factor p(t).
-4*t**2*(t - 1)*(t + 2)
Let y be (-9)/12 + ((-105)/(-12) - 5). Suppose -4*w + y*x = -7, -2*w = 2*x - x - 11. Factor 0*c**w - 8*c**3 + 2*c**3 - 2*c**2 - 58*c**2 + 15*c**4 + 24*c.
3*c*(c - 2)*(c + 2)*(5*c - 2)
Let l(h) be the third derivative of 0*h + 0 - 2/7*h**3 - 86*h**2 - 8/21*h**4 - 1/21*h**5. Find s such that l(s) = 0.
-3, -1/5
Suppose 0 = 3*g + 2*s - 63132, s + 42900 + 62333 = 5*g. Factor -317*w + 360*w + 221*w - 12029 - g + 366*w - 3*w**2.
-3*(w - 105)**2
Let g(u) be the first derivative of -u**4/14 - 176*u**3/21 + 179*u**2/7 - 180*u/7 - 1350. Let g(p) = 0. What is p?
-90, 1
Factor -1024*h**3 - 56*h + 2045*h**3 - 1022*h**3 - 6*h**2 - 12*h**2.
-h*(h + 4)*(h + 14)
Suppose -65*k + 96 = -164. Let m be (-13)/(-4) - (-2)/(-8). Factor 0*b**4 + b**k - m*b**4 + b**4.
-b**4
Let p(x) be the third derivative of x**7/70 + 61*x**6/20 + 113*x**5/20 - 245*x**4/2 - 726*x**3 - 7689*x**2. Factor p(z).
3*(z - 3)*(z + 2)**2*(z + 121)
Suppose -343 - 47 = -65*q. Let u(n) be the first derivative of -q*n + 17 - 9/2*n**2 - n**3. Factor u(m).
-3*(m + 1)*(m + 2)
Let d(b) be the second derivative of -4/75*b**3 + 2*b - 1/150*b**4 + 12/25*b**2 - 25. Factor d(r).
-2*(r - 2)*(r + 6)/25
Factor 452 + 36*k**2 + 43*k**3 - k**4 - 46*k**3 - 452 - 32*k.
-k*(k - 4)*(k - 1)*(k + 8)
Let q(p) = 2*p**2 + 12*p + 16. Let a be q(-4). Suppose a = 8*l + 10*l - 11*l. Suppose l - 1/6*m**2 - 1/3*m = 0. What is m?
-2, 0
Let x(c) be the second derivative of -c**8/5040 - c**7/630 + c**6/216 + 2*c**3/3 - 4*c**2 - 165*c. Let z(y) be the second derivative of x(y). Solve z(h) = 0.
-5, 0, 1
Let w(b) = 4*b**4 + 28*b**2 + 72*b + 49. Let v(u) = 2*u**4 + 30*u**2 + 72*u + 46. Let t(o) = -3*v(o) + 2*w(o). Find f such that t(f) = 0.
-2, -1, 5
Let w(a) be the first derivative of a**6/60 - a**5/30 + 71*a**2/2 - 69. Let i(z) be the second derivative of w(z). Find f, given that i(f) = 0.
0, 1
Let x = -222 + 224. Factor -27*k**2 - 45*k**4 - 687*k**3 - 5*k**5 - 8*k**x + 612*k**3.
-5*k**2*(k + 1)**2*(k + 7)
Let p(y) = y**2 - 17*y + 7. Let k be p(19). Let b be 36/k*5/2. Suppose -1078*w**b + 1086*w**2 + 1 + 16*w - 1 + w**3 = 0. What is w?
-4, 0
Let i(s) be the second derivative of s**8/1680 + s**7/630 - s**6/90 + 7*s**4/6 + 3*s**2/2 + s - 5. Let u(g) be the third derivative of i(g). Factor u(z).
4*z*(z - 1)*(z + 2)
Suppose 734 + 2338 = 128*k. Let t(z) be the first derivative of 18*z**2 + k*z + 10 + 6*z**3 + 3/4*z**4. Factor t(o).
3*(o + 2)**3
Let t(m) be the first derivative of m**6/2 + 6*m**5 - 801*m**4/4 + 1516*m**3 - 4890*m**2 + 7200*m + 1798. Solve t(g) = 0 for g.
-24, 2, 5
Suppose 0 = z - 5*a + 37, 10086*z - 10088*z + 22 = 2*a. Factor -25/4*m**z - 181*m + 230*m**2 + 36.
-(m - 36)*(5*m - 2)**2/4
Let z(g) = g**3 + g**2 - 8*g - 1. Let x(h) = -2*h**3 - 4177*h**2 - 24*h - 3. Let d(c) = -x(c) + 3*z(c). Factor d(k).
5*k**2*(k + 836)
Let 93/8*j**3 + 0*j - 261/4*j**2 + 0 - 1/8*j**4 = 0. What is j?
0, 6, 87
Let t(x) be the first derivative of x**5/20 + x**4 + 53*x**3/12 - 119*x**2/4 - 294*x + 11700. Let t(l) = 0. Calculate l.
-7, -6, 4
Let z(m) = -7337*m - 190762. Let k be z(-26). Find i such that 1/3*i**5 + 0*i**2 + 1/3*i**4 + 0*i + 0*i**3 + k = 0.
-1, 0
Let p(j) be the second derivative of -9/40*j**5 + 5/8*j**4 + 56 - 1/20*j**6 + 3/4*j**3 - 3*j**2 - j. Suppose p(n) = 0. Calculate n.
-4, -1, 1
Let c be ((-6762)/(-245))/(4/10). Suppose -61*t = -c*t + 16. Factor 3/2*s**t + 0 + 15/2*s.
3*s*(s + 5)/2
Let f(d) = 1321*d - 7830. Let k be f(6). Factor 3/2*o**2 + k*o + 1536.
3*(o + 32)**2/2
Factor -192 - 20*a**3 - 77*a**2 - 30*a - 274*a - 26*a**4 - 54*a**2 - 32*a**4 + 57*a**4.
-(a + 1)*(a + 3)*(a + 8)**2
Suppose -4 = -z - 4*q, -13*q + 95 = 5*z - 18*q. Let u be 3 - 4*(-4)/z*-1. Factor -4/3*m + 4/9*m**u + 0.
4*m*(m - 3)/9
Let s be 2*(2 - (-12)/2). Factor -3*x**4 - s*x**3 + 12*x**5 + 0*x**4 - 13*x**4.
4*x**3*(x - 2)*(3*x + 2)
Let i = 3/70885 + 326068/70885. Factor -8/5 + 3/5*q**2 + i*q.
(q + 8)*(3*q - 1)/5
Let t(z) be the second derivative of z**6/15 + 3*z**5/5 - 46*z**4/3 + 88*z**3 - 224*z**2 + 2499*z. Factor t(h).
2*(h - 4)*(h - 2)**2*(h + 14)
Let a(u) be the third derivative of u**6/40 - 13*u**5/12 + 233*u**4/24 + 85*u**3/6 + 3921*u**2. What is f in a(f) = 0?
-1/3, 5, 17
Suppose 121*x - 120*x = 13. Let -390*i - 338 - 13*i**2 - x*i**2 - 5*i**3 - 28*i**2 + 3*i**3 = 0. What is i?
-13, -1
Let a(r) be the second derivative of -r**4/42 - r**3/7 + 550*r**2/7 - 50*r - 53. Find y such that a(y) = 0.
-25, 22
Let q(p) = -p**3 - 2*p**2 - 2*p - 1. Let r(x) = -12*x**3 - 109*x**2 + 364*x - 13. Let a(h) = 13*q(h) - r(h). Factor a(m).
-m*(m - 78)*(m - 5)
Let n = 10690 - 42973/4. Let w = 1925/36 + n. Determine c so that 0 - 10/9*c**2 + w*c**3 + 0*c = 0.
0, 5
Let j = -89 - -92. Suppose -j*x + 9*x - 18 = 0. Solve -10 - 10*h**4 + 14*h**3 - 14*h**x + 5*h**5 + 20*h**2 + 5*h - 10*h**3 = 0 for h.
-1, 1, 2
Let v(x) be the second derivative of -x**7/70 + x**6/4 - 9*x**5/5 + 27*x**4/4 - 27*x**3/2 + 62*x**2 - x. Let t(d) be the first derivative of v(d). Factor t(p).
-3*(p - 3)**3*(p - 1)
Let m(v) = -16*v**2 + 384. Let i(f) = -2*f**2 - 8*f + 2. Let x(k) = 10*i(k) - m(k). Factor x(o).
-4*(o + 7)*(o + 13)
Let a = 2479 + -2477. Let j(p) be the first derivative of -3/5*p - 1/15*p**3 + 21 - 1/2*p**a + 1/20*p**4. Factor j(c).
(c - 3)*(c + 1)**2/5
Let s = 353/2131 - -23101/14917. What is h in -2/7*h - 2/7*h**2 + s = 0?
-3, 2
Let a(l) be the third derivative of -l**5/30 - 2*l**4/21 - l**3/21 - l**2 + 519. Solve a(b) = 0.
-1, -1/7
Let k be (11/2)/(15202/6910). Let -5/2*i**3 + k*i**2 + 0 + 0*i = 0. What is i?
0, 1
Let u(t) be the second derivative of t**7/630 - 7*t**6/180 - 3*t**5/5 - 35*t**4/12 - t. Let h(x) be the third derivative of u(x). Factor h(i).
4*(i - 9)*(i + 2)
Let q = -116259 + 116934. Factor -30*s + q + 1/3*s**2.
(s - 45)**2/3
Let q(z) be the first derivative of -4*z**3/3 - 8*z**2 + 20*z - 3033. What is r in q(r) = 0?
-5, 1
Solve -32/7 - 24/7*v - 236/7*v**4 - 60/7*v**5 + 12*v**3 + 268/7*v**2 = 0 for v.
-4, -1, -1/3, 2/5, 1
Let z(g) be the third derivative of -1/15*g**6 - g**3 + 0 - 45*g**2 + 0*g + 1/2*g**5 - 2/3*g**4. Factor z(q).
-2*(q - 3)*(q - 1)*(4*q + 1)
Let p = -173 + 210. What is d in -25*d - p*d - 5*d**2 - 82*d + 14*d = 0?
-26, 0
Let b(y) = 32*y**2 + 335*y - 336. Let k be b(1). Let w(i) be the first derivative of 1/11*i**4 - 2/11*i**3 + 0*i**2 - k + 2/11*i. Find q, given that w(q) = 0.
-1/2, 1
Let x(g) be the second derivative of 3*g**5/100 - 7*g**4/20 - g**3 + 24*g**2/5 + 828*g. Suppose 