tor 0 + 14*d**2 - w*d - 1/3*d**3.
-d*(d - 21)**2/3
Let w(i) be the first derivative of 3/25*i**5 + 0*i**3 + 1/5*i**4 - 1/30*i**6 + 0*i + 0*i**2 - 10. Factor w(o).
-o**3*(o - 4)*(o + 1)/5
Let f be (-84)/(-12) + 118/177*162/(-44). Factor 338/11 + 2/11*q**3 - f*q**2 + 26*q.
2*(q - 13)**2*(q + 1)/11
Let d(l) be the second derivative of l**5/90 + 721*l**4/54 + 1439*l**3/27 + 719*l**2/9 + 5637*l. Solve d(v) = 0.
-719, -1
Factor 343/4*r - 7/2*r**2 - 1/4*r**3 - 343.
-(r - 7)**2*(r + 28)/4
Let l(b) = -6*b - 56. Let z be l(-10). Determine r, given that -11*r - 20*r + z*r**2 - 16 + 37*r - 18*r = 0.
-1, 4
Let p(j) be the first derivative of j**6/2 - 39*j**5/5 + 99*j**4/4 + 77*j**3 - 147*j**2 - 383. Let p(m) = 0. Calculate m.
-2, 0, 1, 7
Determine h so that -16/11*h**4 + 10/11*h**3 - 6/11 - 10/11*h + 2*h**2 = 0.
-1, -3/8, 1
Let o = 42592 - 724062/17. Factor 8/17*g - 10/17 + o*g**2.
2*(g - 1)*(g + 5)/17
Let g = -4639 + 6588. Let l = g + -1946. Determine r so that 0*r**2 + 1/4*r**4 + 0 + 0*r**l + 1/4*r**5 + 0*r = 0.
-1, 0
Let i be (-3)/(-4) - 1/(-4). Let c be (143/3)/((-3)/(-27)*i). Suppose -2*v**4 + 2*v**2 + c - 431 + 2*v**2 = 0. Calculate v.
-1, 1
Let t be (15/30)/((-1)/(-30)). Let l be (-3)/(-4) - t/(-12). Factor -55*v**l + 2*v - 2*v + 60*v**2.
5*v**2
Suppose 8*l + 43956 = 43980. Factor 2/5*h**l - 16/5 - 8/5*h + 4/5*h**2.
2*(h - 2)*(h + 2)**2/5
Let o(n) = 637*n + 16*n**3 + 2*n**3 + 62*n**4 - 68*n**4 - 189*n**2 - 676. Let f(u) = u**4 + u**3 - 2. Let b(h) = -5*f(h) - o(h). Suppose b(d) = 0. Calculate d.
2, 7
Let z(i) = -i**2 + 255*i - 319. Let o(g) = g**2 + g + 11. Let p(m) = -5*o(m) - z(m). Determine a so that p(a) = 0.
-66, 1
Let n(m) = 5*m**3 - 47*m**2 - 45*m + 565. Let k(u) = -7*u**3 + 65*u**2 + 45*u - 564. Let l(q) = 2*k(q) + 3*n(q). Factor l(g).
(g - 9)**2*(g + 7)
Suppose -5*p + 11 = -4. Let t be (-459)/(-45) - ((-6)/(-10))/3. Factor -18 - 26*l + t*l**2 - 2*l - 5*l**4 - 32*l + 20*l**p - 27.
-5*(l - 3)**2*(l + 1)**2
Let c(l) = l**3 - 16*l**2 + 20*l - 61. Let w be c(15). Suppose w*b + 7 = 7. Suppose -3/5*m + 0 + b*m**2 + 3/5*m**3 = 0. What is m?
-1, 0, 1
Let b(x) be the third derivative of 2*x**7/735 - x**6/30 - x**5/5 + 9*x**4/14 - 2*x**2 + 130. Factor b(l).
4*l*(l - 9)*(l - 1)*(l + 3)/7
Let o(p) = -7*p**4 + 6*p**3 + 25*p**2 - 32*p + 2. Let t(i) = 50*i**4 - 40*i**3 - 175*i**2 + 225*i - 15. Let y(z) = 15*o(z) + 2*t(z). Factor y(b).
-5*b*(b - 3)*(b - 1)*(b + 2)
Factor 1/3*q**2 - 585 - 1754/3*q.
(q - 1755)*(q + 1)/3
Let f = -1909 - -1943. Let r(u) = u - 34. Let a be r(f). Determine d so that 0*d - 8/9 - 2/9*d**4 + 10/9*d**2 + a*d**3 = 0.
-2, -1, 1, 2
Let p be 63/7*-3*(-8)/36. Factor 10*b**2 + 65 - 95 + 25*b - b**3 + 2*b**3 - p*b**3.
-5*(b - 3)*(b - 1)*(b + 2)
Suppose 0 = 2*i + 2*s + 14, -50*s = 5*i - 55*s - 55. Factor -3/7*j**3 - 9/7*j + 12/7*j**i + 0.
-3*j*(j - 3)*(j - 1)/7
Suppose 59*u + 113*u = -127*u + 598. Let -62*d + 38/3*d**u - 20/3 = 0. What is d?
-2/19, 5
Let v = -671 - -673. Let s(g) = -g**2 - 6*g - 1. Let u be s(-5). Factor -25*x**2 + 5*x**2 - 32*x - u*x**4 - 24*x**3 - 9*x**2 - 19*x**v.
-4*x*(x + 2)**3
Let z(b) = 3*b**2 + 1524*b - 1473. Let v(x) = 7*x**2 + 3059*x - 2949. Let j(q) = 6*v(q) - 13*z(q). Find w, given that j(w) = 0.
1, 485
Let f be (28/(-15 - -8))/(-8). Let r = 24 + -47/2. Factor -1 + f*q**2 - r*q.
(q - 2)*(q + 1)/2
Let u(t) be the second derivative of t**6/2 + 91*t**5/4 - 1285*t**4/12 + 1145*t**3/6 - 165*t**2 + 8124*t. Suppose u(p) = 0. What is p?
-33, 2/3, 1
Let j(u) be the third derivative of -u**5/105 - 37*u**4/6 - 1028*u**3/21 - 11785*u**2. Factor j(k).
-4*(k + 2)*(k + 257)/7
Let x(y) be the first derivative of -3*y**4/2 + 59*y**3/3 + 30*y**2 + 17. Let k(t) = 3*t**3 - 30*t**2 - 30*t. Let j(r) = 5*k(r) + 3*x(r). Factor j(g).
-3*g*(g - 10)*(g + 1)
Let t(a) be the third derivative of -53*a**8/10080 - 17*a**7/840 + a**6/180 + 11*a**5/5 - 209*a**2. Let c(u) be the third derivative of t(u). Solve c(l) = 0.
-1, 2/53
Let u(b) be the first derivative of 1035*b**4/14 - 4136*b**3/21 + 1031*b**2/7 + 4*b/7 - 6887. Factor u(s).
2*(s - 1)**2*(1035*s + 2)/7
Let b(d) be the first derivative of d**7/5040 + d**6/2160 + 7*d**3/3 + 3*d**2/2 + 36. Let x(j) be the third derivative of b(j). Factor x(h).
h**2*(h + 1)/6
Suppose -18 = 6*b - 108. Let c be -3*12/60 + 14/b. Find u such that -c*u + 1/9*u**2 + 0 = 0.
0, 3
Let a(r) be the second derivative of r**4/54 - 1096*r**3/27 + 300304*r**2/9 - 693*r. Factor a(v).
2*(v - 548)**2/9
Suppose 0*n - 4*n = n + 2*x - 18, 36 = 4*x. Find l such that 0*l - 6/11*l**4 + 24/11*l**3 - 24/11*l**2 + n = 0.
0, 2
Factor -25/3*t**3 + 209/3*t**2 - 1/3*t**4 + 96 - 157*t.
-(t - 3)**2*(t - 1)*(t + 32)/3
Let r(c) be the third derivative of 11*c**5/20 - 9*c**4/8 - c**3 - 3*c**2 + 330*c. Factor r(b).
3*(b - 1)*(11*b + 2)
Factor 17/7*y - 1/7*y**3 - 30/7 + 2*y**2.
-(y - 15)*(y - 1)*(y + 2)/7
Let i(p) be the third derivative of -p**6/160 + 29*p**5/40 - 113*p**4/32 + 7*p**3 + 8955*p**2. Find o such that i(o) = 0.
1, 56
Let b(d) be the first derivative of -d**5/75 - 79*d**4/120 + 2*d**3/3 + 62*d**2 - 59. Let f(z) be the second derivative of b(z). Let f(s) = 0. What is s?
-20, 1/4
Let i(b) = 4*b**3 - 94*b**2 + 488*b - 128. Let o be i(16). Solve 0*w - 3*w**2 + o + 12/5*w**3 + 3/5*w**4 = 0 for w.
-5, 0, 1
Let x(g) be the third derivative of -g**7/210 + g**6/40 + g**5/2 - 16*g**4/3 + 16*g**3 + 2736*g**2. Determine r, given that x(r) = 0.
-6, 1, 4
Let p(u) be the second derivative of u**6/10 + 27*u**5/20 + u**4/2 - 42*u**3 + 108*u**2 + 3045*u - 1. Factor p(t).
3*(t - 2)*(t - 1)*(t + 6)**2
Let d(w) be the third derivative of -w**5/20 + 29*w**4/8 - 60*w**3 - 86*w**2. Suppose d(g) = 0. What is g?
5, 24
Let w(c) be the second derivative of -2*c**7/21 + 434*c**6/15 + 219*c**5/5 - 217*c**4/3 - 436*c**3/3 + 2518*c. Solve w(q) = 0.
-1, 0, 1, 218
Suppose 16 = 2*m + 6*m. Suppose -3604*p**3 + 57*p**m + 3607*p**3 - 9*p**2 = 0. What is p?
-16, 0
Suppose -t = 3*g - 6, -t - 8 = -2*t - 5*g. Suppose -t*v = -0*v - 267. Factor 43*m**3 - v*m**3 + 48*m**3.
2*m**3
Let l(t) = -t**3 + 9*t**2 - 8*t + 4. Let r be l(8). Suppose 44 = -7*z + 65. Factor r*a - 4*a**3 - 8*a**2 + a**z - a**3 + 8.
-4*(a - 1)*(a + 1)*(a + 2)
Let h = 134 + -130. What is i in -510*i**4 + 2*i**2 - 4*i + h*i**3 + 508*i**4 + 0*i**3 = 0?
-1, 0, 1, 2
Let t be 2 + 7/1 + 1320/(-108) + 230/46. Find o, given that 2/9*o**3 + 0 - t*o + 14/9*o**2 = 0.
-8, 0, 1
Solve -39/5*g**2 + 29/5*g**3 + 1/5*g**5 - 9/5*g**4 + 0 + 18/5*g = 0 for g.
0, 1, 2, 3
Find f, given that -62/5*f**4 - 106/5*f**3 + 0 + 348/5*f + 302/5*f**2 - 2/5*f**5 = 0.
-29, -3, -1, 0, 2
Let k(y) be the third derivative of -y**7/42 - y**6/8 + 2*y**5 - 35*y**4/6 + 1992*y**2. Determine q so that k(q) = 0.
-7, 0, 2
Let i = -12327 + 665663/54. Let h(t) be the second derivative of -i*t**4 + 0*t**2 - 2/45*t**5 + 0 - 1/135*t**6 - 19*t - 2/27*t**3. Factor h(n).
-2*n*(n + 1)**2*(n + 2)/9
Let g = -2 - -8. Suppose -3*y - g = -4*s, 4*s - 37 + 43 = -3*y. Suppose -1/3*n**2 - 1/6*n**3 + s - 1/6*n = 0. What is n?
-1, 0
Let j(a) be the second derivative of -a**7/1260 - a**6/20 - 27*a**5/20 + 19*a**4/6 + a**3/6 - 2*a - 69. Let y(b) be the third derivative of j(b). Factor y(g).
-2*(g + 9)**2
Let u(s) = -2*s - 6. Let y be u(-3). Suppose 5*l - l + 10 = -2*m, -5*m + 4*l + 31 = y. Let -5 - 6 - 6*z - m*z**2 + 8 = 0. What is z?
-1
Let v(n) be the first derivative of -n**5/5 - 15*n**4/2 + 21*n**3 - 16*n**2 - 4479. Factor v(b).
-b*(b - 1)**2*(b + 32)
Suppose -11*a = -12*a + 3. Let -28 - 19*i**2 - 72*i - 8*i**2 - 3*i**a - 2 + 4 - 34 = 0. Calculate i.
-5, -2
Suppose 3*p - 5*v + 25 = 0, -10*p - 2*v + 10 = -7*p. Let x be 0/(-7 + 7 - -2). Factor -16/9*j**2 + p - 4/9*j**5 + x*j**3 + 4/3*j**4 + 0*j.
-4*j**2*(j - 2)**2*(j + 1)/9
Let c = 130965 - 916743/7. Factor -6/7*f**3 + 12/7 - c*f**2 + 6/7*f.
-6*(f - 1)*(f + 1)*(f + 2)/7
Let v(q) be the first derivative of -3*q**4/4 + 53*q**3 + 336*q**2 + 684*q + 6407. Factor v(k).
-3*(k - 57)*(k + 2)**2
Let d(u) = -3*u**2 - 151*u + 3434. Let a be d(17). Let 2/3*i**3 + a - 16/3*i**2 + 14/3*i = 0. Calculate i.
0, 1, 7
Suppose -4*d + 26 = r, 0*d - 2 = d - 4*r. Let o be 1/((d - 12) + 10). What is v in 0 + v + o*v**4 - v**2 - 1/4*v**3 = 0?
-2, 0, 1, 2
Determine o so that -2/9*o**3 - 272/9*o - 50/9*o**2 - 40 = 0.
-18, -5, -2
What is u in 6*u**