e the first derivative of 3*a**5/40 - 237*a**4/32 + 77*a**3/4 - 2542. Factor b(u).
3*u**2*(u - 77)*(u - 2)/8
Let r(g) be the second derivative of g**5/60 + g**4/6 - 5*g**3/6 + 49*g**2 + 121*g. Let c(x) be the first derivative of r(x). Factor c(u).
(u - 1)*(u + 5)
Suppose 859 = r + 850. Factor 5*s + s**2 + 2*s + 2 + r*s - 13*s.
(s + 1)*(s + 2)
Let x(b) be the third derivative of -b**5/18 - 11*b**4/18 - 8*b**3/9 + 912*b**2. Solve x(a) = 0 for a.
-4, -2/5
Let q(r) be the second derivative of r**4/18 + 31*r**3 + 278*r**2/3 - 7*r - 105. Determine p so that q(p) = 0.
-278, -1
Factor 13*b - 1759*b**2 + 11*b + 8*b**3 + 1787*b**2.
4*b*(b + 2)*(2*b + 3)
Let -1/5*x**3 - 2*x**2 + 171/5*x + 0 = 0. What is x?
-19, 0, 9
Let k be 1/(((-48)/18)/(-8)). Find f such that 17*f - 441 + 28*f - f**2 - k*f = 0.
21
Determine z so that -2/7*z**2 + 60/7*z**3 + 0 + 2/7*z**4 - 60/7*z = 0.
-30, -1, 0, 1
Suppose -5*d - 15 = -60. Suppose -48*m + 1482 - 522 = 0. Factor d*n + m*n + 22 + 9*n**2 - 16.
(n + 3)*(9*n + 2)
Suppose 0 = 31*v - 23 - 101. Let s = -26 - -42. Find t such that 5*t**v - 3*t**4 - 17 - 15 + 30*t**2 + 16*t**3 - s*t = 0.
-4, -1, 1
Factor 625*z**2 - 253*z**2 - 205*z**2 - 100*z**3 + 3*z**4 - 7*z**4 - 351*z**2.
-4*z**2*(z + 2)*(z + 23)
Suppose -12*j - 446 + 241 = -229. Let f(w) be the second derivative of 2/9*w**3 + 1/72*w**4 + 4/3*w**j + 8*w + 0. Determine d so that f(d) = 0.
-4
Let g(t) be the third derivative of 15/2*t**3 + 25/8*t**4 + 7/12*t**5 + 0 + 0*t - 43*t**2 + 1/24*t**6. Factor g(n).
5*(n + 1)*(n + 3)**2
Let x(q) = -79*q**3 + 320*q**2 - 27*q + 46. Let f be x(4). Factor -2/3*l**3 - 76/3*l**f + 0 + 0*l.
-2*l**2*(l + 38)/3
Let w be 33/55*(-20)/(-24) - 40/(-16). Let d(a) be the second derivative of 0*a**2 + 0*a**w + 26*a + 0 + 1/40*a**5 - 1/48*a**4. Find z, given that d(z) = 0.
0, 1/2
Factor -6/5*r**2 - 38/5*r - 12/5.
-2*(r + 6)*(3*r + 1)/5
Let i(y) = 6*y**3 + 79*y**2 - 265*y - 3612. Let k be i(-13). Determine s so that -42/5*s + 3/5*s**3 - 39/5*s**k + 0 = 0.
-1, 0, 14
Let c = -74 + 68. Let j be 81/(-12)*c*(-7)/(-21). Let -333/4*u + 279*u**3 - j + 48*u**5 - 216*u**4 - 33*u**2 = 0. Calculate u.
-1/4, 3/2, 2
Let p = -85045 - -765419/9. Suppose -52/9*d**2 + 16/9 + p*d**3 + 40/9*d = 0. Calculate d.
-2/7, 2
Let t(c) be the third derivative of -c**5/25 - 37*c**4/60 - 2*c**3/5 + 10*c**2 + 19*c. Let t(p) = 0. What is p?
-6, -1/6
Factor 104/7 + 16/7*a**2 + 90/7*a.
2*(a + 4)*(8*a + 13)/7
Suppose -4928/3*y + 2/3*y**4 + 3136/3 - 118/3*y**3 + 636*y**2 = 0. What is y?
1, 2, 28
Let y(d) be the first derivative of -d**6/57 - 14*d**5/19 - 67*d**4/38 - 22*d**3/19 - 60. Solve y(s) = 0 for s.
-33, -1, 0
Factor -1156*n**4 - 2403593 + 15840*n**2 + 2403593 - 9072*n - 5644*n**3.
-4*n*(n + 7)*(17*n - 18)**2
Suppose 68 = 6*p + 6 + 44. Suppose 8/7*i + 10/7*i**2 - 6/7 - 4/7*i**p = 0. What is i?
-1, 1/2, 3
Let l(q) be the second derivative of -7/6*q**4 - 19/3*q**3 + 0 + 6*q**2 + 67*q. Factor l(m).
-2*(m + 3)*(7*m - 2)
Let d(c) = -32*c**4 + 111*c**3 - 128*c**2 + 87*c - 10. Let x(y) = -y**5 + y**4 - y**3 + y**2 - 7*y. Let z(s) = 5*d(s) + 20*x(s). Find t such that z(t) = 0.
-10, 1/2, 1
Suppose 0 = 5*j - x - 377, 2*j + x + 152 = 4*j. Find v such that -104*v**2 + 15*v**3 + 90*v - j*v**2 - 96*v**2 = 0.
0, 1/3, 18
Let x(w) = 3*w**3. Let t(p) = 13*p**3 - 10*p**2 - 37*p - 26. Let q(c) = -8*c + 57. Let m be q(7). Let f(z) = m*t(z) - 4*x(z). Suppose f(i) = 0. Calculate i.
-2, -1, 13
Suppose -272 = 58*p - 194*p. Suppose -7/2*g - 2*g**p + 3 + 5/2*g**3 = 0. Calculate g.
-6/5, 1
Let w(f) be the third derivative of -f**7/12600 - f**6/360 - 2*f**5/75 + 55*f**4/24 - 2*f**2 - 87. Let r(o) be the second derivative of w(o). Factor r(k).
-(k + 2)*(k + 8)/5
Let t(q) = 11*q**2 + 114*q. Let r(a) = -17*a**2 - 114*a. Let p(j) = 2*r(j) + 3*t(j). Suppose p(h) = 0. What is h?
0, 114
What is i in 852*i**3 - 5623*i**2 - 2269*i**2 + 939*i**4 - 98880*i - 955*i**4 + 25170 + 30 = 0?
-7, 1/4, 30
Suppose -525*s + 520*s = 0. Solve -8/7*x**2 + s - 2/7*x**3 - 6/7*x = 0.
-3, -1, 0
Suppose c = -3*o + 16, 39 - 37 = 2*c. Let f(r) be the third derivative of 5/156*r**4 + 0 + 0*r + 1/780*r**6 - 2/39*r**3 - 2/195*r**o + 15*r**2. Factor f(k).
2*(k - 2)*(k - 1)**2/13
Let q(w) be the third derivative of -1/525*w**7 + 0*w**3 - 2/75*w**6 + 0*w + 0*w**4 + 0 + 36*w**2 - 7/150*w**5. Factor q(r).
-2*r**2*(r + 1)*(r + 7)/5
Let z(n) = -91*n**3 - 5*n - 4. Let o be z(-2). Let s = -730 + o. Suppose 1/2*k + 2*k**4 + 2 - k**3 + 1/2*k**5 - s*k**2 = 0. What is k?
-4, -1, 1
Let l(c) be the second derivative of -c**4/72 + 55*c**3/4 - 247*c**2/6 - 3334*c. Solve l(b) = 0 for b.
1, 494
Let f(v) be the second derivative of -5*v**7/63 + 4*v**6/15 + 17*v**5/10 - 41*v**4/9 + 8*v**3/3 + 3716*v. Determine g so that f(g) = 0.
-3, 0, 2/5, 1, 4
Let p(k) be the first derivative of -35/4*k**2 + 106 + 10*k - 5/16*k**4 + 35/12*k**3. Solve p(r) = 0.
1, 2, 4
Let a = 13126 - 27131/2. Let w = a + 440. Let -3/2 + w*o**3 + 7/2*o - 5/2*o**2 = 0. What is o?
1, 3
Let a = 14193728/116803049 - -1592/24523. Let k = -2/433 + a. Determine p, given that k*p**2 - 8/11*p + 8/11 = 0.
2
Let k = 1025944 + -5129717/5. Solve -k*r - 36/5*r**2 + 3/5 = 0 for r.
-1/3, 1/4
Let j(b) = b**3 + 20*b**2 - 33*b - 14. Let n be j(-21). Let i = -236 + n. Solve -4/7*k + 6/7 - 2/7*k**i = 0 for k.
-3, 1
Let f(t) be the first derivative of 224/3*t**3 - 64*t**2 - 2/3*t**6 - 36*t**4 + 0*t + 8*t**5 + 125. Factor f(r).
-4*r*(r - 4)*(r - 2)**3
Factor 1/2*q**2 + 11 + 13/2*q.
(q + 2)*(q + 11)/2
Let h = -24133 - -24135. Let b = -144/11 - -146/11. Suppose -b*d**h - 2/11 + 4/11*d = 0. What is d?
1
Suppose 0 = 2*v - 59*r + 57*r + 2, -2*v = -4*r + 12. Factor -59*c**4 + 11*c + 52*c**4 + 9*c - 23*c**v - 60*c**2 + 5*c**5 - 12*c**3 + 77*c**3.
5*c*(c - 2)**2*(c - 1)**2
Factor 1/3*j**4 + 50*j**2 + 25/3*j**3 - 500/3*j - 5000/3.
(j - 5)*(j + 10)**3/3
Factor -591*b**2 - 678*b**2 - 2*b**3 - 819*b**2 - b**3 + 162*b**2 - 1923*b.
-3*b*(b + 1)*(b + 641)
Let o = -33875/3 - -11297. Factor 48*k - 196/3*k**4 + 168*k**3 - 436/3*k**2 - o.
-4*(k - 1)**2*(7*k - 2)**2/3
Let w(r) = -r + 9. Let b(m) = 5*m**2 + 1835*m - 1920. Let z(v) = -b(v) - 10*w(v). Suppose z(t) = 0. Calculate t.
-366, 1
Let j(g) = 2*g - 11. Let y be j(7). Factor -y - 9 + 25658*r - 2*r**3 - 25644*r.
-2*(r - 2)*(r - 1)*(r + 3)
Let -200*m - 100*m - 197188 - 4*m**2 - 324*m + 193016 = 0. Calculate m.
-149, -7
Let h be 6/7*21/6. Find j, given that -16 - 22/3*j**h - 76/3*j**2 - 2/3*j**4 - 104/3*j = 0.
-6, -2, -1
Let z(y) be the second derivative of y**7/63 - 2*y**6/9 + 4*y**5/5 - 11*y**4/9 + 7*y**3/9 + 13*y - 13. Solve z(i) = 0.
0, 1, 7
Suppose -2*f - c + 4885 = 4883, 0 = -5*f + 5*c + 20. Determine g so that 1/3*g - 1/3*g**3 + 3*g**f - 3 = 0.
-1, 1, 9
Let v(m) be the second derivative of -2*m + 0*m**2 - 3/2*m**3 - 7/60*m**6 + 13/40*m**5 + 1/84*m**7 + 1/8*m**4 - 36. Find t, given that v(t) = 0.
-1, 0, 2, 3
Let z be 3 - (2 + 8/4)*12/16. Let n(a) be the third derivative of 25/6*a**4 + 250/3*a**3 + 1/12*a**5 + 0*a - 9*a**2 + z. Factor n(l).
5*(l + 10)**2
Let w = 20 - 32. Let s be (2*2/(-3))/(8/w). Factor 6 + 11*v + 5*v**2 + 7*v**2 + 5*v - s*v**4.
-2*(v - 3)*(v + 1)**3
Factor u**4 + 4567467*u**3 + 121*u**2 - 4567447*u**3 - 2*u**4 + 100*u.
-u*(u - 25)*(u + 1)*(u + 4)
Let s be 1/(5 + 2 + -6). Let u(z) = 27*z**2 + 9*z + 24. Let n(g) = -2*g**2 - g - 2. Let c(x) = s*u(x) + 12*n(x). Suppose c(f) = 0. Calculate f.
0, 1
Let t(w) be the first derivative of 10*w**2 + 0*w**3 - 9 - 2/15*w**4 - 1/75*w**5 + 0*w + 1/300*w**6. Let j(f) be the second derivative of t(f). Factor j(u).
2*u*(u - 4)*(u + 2)/5
Let o(t) be the second derivative of -t**6/40 - 19*t**5/80 - t**4/12 + t**3/2 - 1243*t. Let o(v) = 0. What is v?
-6, -1, 0, 2/3
Let m(o) be the first derivative of -o**7/5460 - o**6/780 + o**4/39 - 4*o**3 + 240. Let j(u) be the third derivative of m(u). What is k in j(k) = 0?
-2, 1
Let w be ((-24)/(-102))/((-112)/(-136)). Let y(a) be the first derivative of -27 - w*a - 1/21*a**3 + 3/14*a**2. Factor y(g).
-(g - 2)*(g - 1)/7
Suppose -3*t = -2*y - 22, -3*y + y - 42 = 2*t. Let k = y - -21. Determine c, given that 3/4*c**5 + 7/4*c + 11/2*c**3 - 1/4 - 9/2*c**2 - 13/4*c**k = 0.
1/3, 1
Let t(c) be the first derivative of c**4 + 8*c**3/3 - 32*c**2 - 128*c - 3608. Factor t(b).
4*(b - 4)*(b + 2)*(b + 4)
Suppos