8*d. Find p, given that a(p) = 0.
0, 3/118, 1
Let g = -80 + 56. Let u = -24 - g. Factor 2*c**3 + u*c**5 - c + c**5 - 4*c**3 + 2*c.
c*(c - 1)**2*(c + 1)**2
Let x(y) be the second derivative of -y**6/108 - 11*y**5/135 - 7*y**4/27 - 8*y**3/27 + 41*y**2/2 + 22*y. Let h(f) be the first derivative of x(f). Factor h(z).
-2*(z + 2)**2*(5*z + 2)/9
Suppose -3*i + 5*f - 10 = 0, -6*f + 3*f = 4*i - 6. Suppose i + 1/3*x**3 - x - 2/3*x**2 = 0. What is x?
-1, 0, 3
Let a = -12459/5 - -2493. Determine h so that -a*h**3 + 8/5*h + 0*h**2 + 0 - 2/5*h**4 = 0.
-2, 0, 1
Factor j**2 + 452 - 518 + 691 + 50*j.
(j + 25)**2
Let u(q) be the second derivative of 3*q**5/20 + 3*q**4/2 + 6*q**3 + 12*q**2 + 36*q. Factor u(c).
3*(c + 2)**3
Suppose -5*r - 3*h = -13, -3*r + 4*r + 2 = 4*h. Factor 14*l**4 + 4*l**r - 5*l**5 - 12*l**3 - 4*l**5 - 2*l**4 + 5*l**5.
-4*l**2*(l - 1)**3
Let s(y) be the third derivative of y**7/11340 + y**4/8 - y**2. Let k(w) be the second derivative of s(w). What is r in k(r) = 0?
0
Factor 423*l**3 - 210*l**3 - 456*l**2 - 209*l**3 - 36325 - 183163 + 17328*l.
4*(l - 38)**3
Let x(c) be the third derivative of 1/16*c**5 + 0*c - 1/160*c**6 + 0 - 3/32*c**4 - 9/8*c**3 + 3*c**2. Factor x(r).
-3*(r - 3)**2*(r + 1)/4
Suppose 4/7 + 40/7*o + 24/7*o**5 + 120/7*o**2 + 160/7*o**3 + 100/7*o**4 = 0. What is o?
-1, -1/6
Suppose -37 + 12 = -5*c. Suppose -c*k = -1 - 9. Suppose -9/2 + 6*h**k - 3/2*h = 0. Calculate h.
-3/4, 1
Let c(j) be the first derivative of j**3/24 - 17*j**2/4 + 289*j/2 + 480. Let c(w) = 0. What is w?
34
Factor 1152/7 + 14*k**2 - 2/7*k**3 - 1248/7*k.
-2*(k - 24)**2*(k - 1)/7
Let m(w) be the first derivative of 10 + 35/2*w**2 - 10*w - 25/3*w**3. Suppose m(t) = 0. What is t?
2/5, 1
Let t = 335/42 - 8. Let g = 10/21 - t. Determine a so that g*a**3 - 2*a - 3/4*a**2 - 3/4 = 0.
-1, -1/2, 3
Suppose -439 = -4*z + 5*i, 3*z - 226 = z - 4*i. Factor 139*t**2 + t - z*t**2 - 17*t - 8*t**3 - 4*t**4.
-4*t*(t - 1)**2*(t + 4)
Let c(m) = -m**2 + 2*m + 2. Let n be c(0). What is l in l - l + n*l**4 - 2*l**5 = 0?
0, 1
Let y(k) be the first derivative of -k**3 - 33*k**2 - 363*k + 71. Factor y(i).
-3*(i + 11)**2
Let q = -124 + 120. Let l(s) = s**2 + 6*s - 4. Let g(x) = 2*x**2 + 6*x - 4. Let h(a) = q*l(a) + 3*g(a). Factor h(i).
2*(i - 2)*(i - 1)
Suppose 3*z - 4*z = 0. Suppose z = b - 2*b + o + 8, -17 = b + 4*o. Let -6*d**2 - 8/7 + 14*d**b - 48/7*d = 0. What is d?
-2/7, 1
Let t(g) be the third derivative of 0 + 0*g**4 + 0*g + 1/2*g**3 - 1/20*g**5 + 26*g**2. Factor t(d).
-3*(d - 1)*(d + 1)
Let c be 39 - 27 - 252/22. Factor 0*g + 2/11*g**4 - c*g**3 + 4/11*g**2 + 0.
2*g**2*(g - 2)*(g - 1)/11
Let w(n) be the first derivative of -4/33*n**3 - 5/11*n**2 - 12 - 6/11*n. Find m, given that w(m) = 0.
-3/2, -1
Let l = 6 - 8. Let b be -4 - (12/l - 0). Let 10*d**3 + 17*d**b - 13*d**2 - 8*d**4 + 20*d**4 + 4*d**5 + 2*d**3 = 0. Calculate d.
-1, 0
Factor -10*t**3 + 35*t - 6 + 20 + 16*t**2 - 6*t - 16*t**3 + 27*t**3.
(t + 1)**2*(t + 14)
Let b(d) be the third derivative of d**5/15 - 4*d**4/3 + 636*d**2. Find g, given that b(g) = 0.
0, 8
Let -1/9*y**2 - 2/3 + 5/9*y = 0. What is y?
2, 3
Let v(n) be the second derivative of -n**6/24 - n**5/4 - 5*n**4/8 - 5*n**3/6 - 5*n**2/2 + 8*n. Let d(i) be the first derivative of v(i). Factor d(f).
-5*(f + 1)**3
Let i(b) be the third derivative of -b**6/45 - 7*b**5/45 + 5*b**4/18 + 8*b**3/9 + 72*b**2 + 2. Factor i(f).
-4*(f - 1)*(f + 4)*(2*f + 1)/3
Let v(a) = -a**2 + 6*a + 7. Let s be v(7). Let x = -21/53 + 527/795. Factor 2/15*w**5 + 0*w**3 + s - 2/15*w + x*w**2 - 4/15*w**4.
2*w*(w - 1)**3*(w + 1)/15
Let g(r) be the third derivative of r**7/2940 + 2*r**3 + 4*r**2. Let k(u) be the first derivative of g(u). Factor k(b).
2*b**3/7
Let u be (249/(-166))/(18/(-63) + (-278)/56). Determine v, given that 648/7*v**2 + u - 72/7*v = 0.
1/18
Let q(u) = -25*u**2 - 607*u - 166. Let t be q(-24). Factor -1/2 - 5/6*f**t + 7/6*f + 1/6*f**3.
(f - 3)*(f - 1)**2/6
Factor 11*w + w**4 - 6*w**3 + 21*w - 854 - 6*w**2 + w**3 + 886.
(w - 4)**2*(w + 1)*(w + 2)
Let l(j) be the third derivative of 29*j**2 - 1/200*j**6 + 0 + 0*j**4 + 0*j + 0*j**3 - 1/25*j**5. Factor l(s).
-3*s**2*(s + 4)/5
Let x(a) be the first derivative of 5/2*a**2 + 10/3*a**3 - 3 - 5/2*a**4 - a**5 + 5/6*a**6 - 5*a. Factor x(h).
5*(h - 1)**3*(h + 1)**2
Let m(a) = 5*a**3 - 18*a**2 + 9*a + 23. Let f(h) = 16*h**3 - 56*h**2 + 28*h + 70. Let j(n) = -6*f(n) + 20*m(n). Factor j(s).
4*(s - 5)*(s - 2)*(s + 1)
Let q(c) be the second derivative of -1/2*c**2 - c + 0 - 1/27*c**4 + 1/27*c**3 - 1/54*c**5. Let r(f) be the first derivative of q(f). Find v such that r(v) = 0.
-1, 1/5
Let m(r) be the third derivative of r**8/84 - 8*r**7/105 + r**6/6 - 2*r**5/15 + r**2 - 9. Factor m(n).
4*n**2*(n - 2)*(n - 1)**2
Suppose 3*b = -7*b + 20. Let z(g) be the second derivative of 0*g**3 + 5*g - 1/4*g**4 + 0 + 0*g**b. Suppose z(t) = 0. Calculate t.
0
What is d in -10 + 76*d - 2*d**3 - 8*d**3 - 13*d - d**3 - 42*d**2 = 0?
-5, 2/11, 1
Suppose 0 = 2*k - 5*j - 25, -4*k = 3*j + 5 + 10. Suppose k*s + 2 = s. Factor 3*l**2 + 1 - l - 2*l - s*l**2 + 1.
(l - 2)*(l - 1)
Let x = -60054/7 - -8580. Suppose 2/7*o**4 + x*o**3 + 2/7*o + 6/7*o**2 + 0 = 0. What is o?
-1, 0
Suppose -177 - 6*b**2 - 55*b + 57 + 2*b**2 - b**2 + 0*b**2 = 0. What is b?
-8, -3
Suppose -3*h + 27 = -3*x, 23 - 8 = -3*h - 4*x. Solve 2662/3*b**h + 726*b**2 + 198*b + 18 = 0.
-3/11
Find s such that -11/2*s**2 + 0 - 1/2*s**4 - 5/2*s - 7/2*s**3 = 0.
-5, -1, 0
Let j(a) be the second derivative of a**6/165 + 184*a**5/55 + 7503*a**4/11 + 605160*a**3/11 - 1860867*a**2/11 - 53*a. Factor j(i).
2*(i - 1)*(i + 123)**3/11
Let y = 1209 - 1205. Let c(t) be the first derivative of 0*t + 1/12*t**y - 1/36*t**6 + 0*t**3 - 1 - 1/12*t**2 + 0*t**5. Factor c(l).
-l*(l - 1)**2*(l + 1)**2/6
Let f(d) = 28*d**2 - 240*d - 4. Let s(a) = 6*a**2 + a - 1. Let i(y) = f(y) - 4*s(y). Find g such that i(g) = 0.
0, 61
Let v(y) = -y**3 - y**2 + y. Let j(a) = 4 + 15*a - 16 - 19*a**2 - 4*a - 31*a - 7*a**3. Let i(f) = -j(f) + 4*v(f). Factor i(x).
3*(x + 1)*(x + 2)**2
Let y(v) be the third derivative of v**6/180 + v**5/15 + 11*v**4/36 + 2*v**3/3 + 46*v**2. Factor y(r).
2*(r + 1)*(r + 2)*(r + 3)/3
Let w(j) be the second derivative of j**4/60 - 13*j**3/15 + 169*j**2/10 - 85*j. Let w(k) = 0. What is k?
13
Let d = -15 - -17. Factor 34*f + 8*f**2 + 26*f**3 + 0*f**d - 22*f + 10*f**4 - 20*f.
2*f*(f + 1)*(f + 2)*(5*f - 2)
Suppose -b = 2*m + 8, -2*b + 44*m - 11 = 47*m. Let 2*v**3 + 2/3*v**5 + 0 - 2/3*v**b - 2*v**4 + 0*v = 0. What is v?
0, 1
Let v be (-15)/6*6/(-5). Let b(q) be the second derivative of -2/3*q**4 + v*q + 0 + 0*q**2 + 0*q**3 - 7/5*q**5. Factor b(u).
-4*u**2*(7*u + 2)
Let h(y) be the second derivative of 0 - 27*y + 3/2*y**2 + 9/10*y**5 - 1/4*y**4 - 3*y**3. Suppose h(a) = 0. Calculate a.
-1, 1/6, 1
Let k(j) be the second derivative of 15*j**4 + 94*j**3/3 + 4*j**2 + 4*j - 15. Suppose k(r) = 0. Calculate r.
-1, -2/45
Let a(w) be the first derivative of w**5/300 - w**4/12 + 8*w**3/15 + w**2/2 - 26*w + 8. Let c(m) be the second derivative of a(m). Find f such that c(f) = 0.
2, 8
Let q be ((-7329)/(-6) - -8)*(-4)/10. Let p = q - -495. Suppose 2/5*x + 39/5*x**3 - p*x**5 + 8/5*x**4 + 0 + 17/5*x**2 = 0. Calculate x.
-1, -1/4, 0, 2
Factor -144*q - 17*q**2 + 10*q**2 + 5*q**2 + 106 + 40*q.
-2*(q - 1)*(q + 53)
Let t = -5011/120 + 632/15. Determine z, given that t - 3/2*z + 3/8*z**4 + 9/4*z**2 - 3/2*z**3 = 0.
1
Let r be (16/(-6)*(-10)/20)/(16 - 10). Solve r*l**2 - 14/9 - 4/3*l = 0.
-1, 7
Let c(m) be the first derivative of m**8/448 + m**7/70 + m**6/40 + 5*m**2/2 - 10. Let j(p) be the second derivative of c(p). Factor j(i).
3*i**3*(i + 2)**2/4
Let l be -5 + 132/20*1. Determine g, given that -9/5*g - l - 1/5*g**2 = 0.
-8, -1
Let 56/3*b + 12 + 7*b**2 + 1/3*b**3 = 0. Calculate b.
-18, -2, -1
Let y(q) = -3*q**3 + 18*q**2 - 12*q + 3. Let s(n) = 6*n**3 - 34*n**2 + 25*n - 7. Let l(a) = -3*s(a) - 5*y(a). Determine c so that l(c) = 0.
1, 2
Let m(b) be the second derivative of b**4/84 - 113*b**3/42 - 57*b**2/7 - 70*b - 1. Factor m(x).
(x - 114)*(x + 1)/7
Find v, given that -4/3*v**4 + 4/3*v**2 + 0 - 1/3*v**5 - 2/3*v**3 + v = 0.
-3, -1, 0, 1
Let a be 4 + 26/(-7) + 60/35. Factor 5*f**3 - 13*f**2 + f**3 + 9*f**a - 2*f**3.
4*f**2*(f - 1)
Let b(n) be the first derivativ