**2. Determine m, given that g(m) = 0.
-4, -2, 4
Suppose 952*j + 1689*j + 1235*j - 31008 = 0. Let -1/3*z**2 - j + 10/3*z = 0. What is z?
4, 6
Let j(b) be the third derivative of b**6/24 + 157*b**5/12 - 5*b**4/24 - 785*b**3/6 + 21*b**2 - 5*b - 1. Find f such that j(f) = 0.
-157, -1, 1
Suppose 110 = 57*f - 118. Let w be -6*(-230)/330 - f. Factor -6/11*a**2 + 4/11*a**3 + 8/11 - 8/11*a + w*a**4.
2*(a - 1)**2*(a + 2)**2/11
Let x(c) be the first derivative of -c**6/6 - 83*c**5 + 418*c**4 - 1676*c**3/3 - 8626. Factor x(l).
-l**2*(l - 2)**2*(l + 419)
Let o = 66658/7 + -9522. Let h(v) be the first derivative of -17 - 2/21*v**3 + 10/7*v - o*v**2. Factor h(z).
-2*(z - 1)*(z + 5)/7
Suppose 27*p - 107 + 26 = 0. Find q such that -85*q**4 - 86*q**4 + 174*q**4 + 12*q**p = 0.
-4, 0
Let a(c) = -6*c**3 + 12*c**2 - 46*c - 256. Let w(v) = -v**3 - v**2 + 1. Let d(z) = -a(z) + 8*w(z). Let d(g) = 0. What is g?
-11, -3, 4
Let z(u) be the third derivative of -13*u**5/90 + u**4/108 + 2642*u**2. Find r, given that z(r) = 0.
0, 1/39
Let u(c) be the third derivative of -c**5/180 + 25*c**4/72 - 77*c**3/9 - c**2 + 435*c. Solve u(p) = 0 for p.
11, 14
Let d(j) be the second derivative of 0*j**2 - 36*j**3 + 0 - 2*j**4 - 147*j - 1/30*j**5. Suppose d(r) = 0. What is r?
-18, 0
Factor 4*d**2 + 13191736 - 726943 - 13358*d - 4290*d + 13925287 - 6924336.
4*(d - 2206)**2
Let m(k) be the third derivative of k**8/3600 + k**7/6300 - k**6/150 - 37*k**5/12 + 2*k**2 + 11*k. Let p(j) be the third derivative of m(j). Factor p(w).
4*(w + 1)*(7*w - 6)/5
Let l(b) = -188*b**2 - 12552*b - 69600. Let d(k) = -15*k**2 - 1004*k - 5568. Let r(h) = -88*d(h) + 7*l(h). Factor r(o).
4*(o + 6)*(o + 116)
Let x(w) = -w**3 + w**2 - 1. Let b be -1*(-2)/8 + (-2142)/(-72). Let m(p) = -p**4 + 4*p**3 - 3*p**2 + 4*p + 2. Let o(c) = b*x(c) + 5*m(c). Factor o(l).
-5*(l - 1)**2*(l + 2)**2
Let x(d) be the second derivative of -2/105*d**6 - 11/7*d**4 + 2/7*d**5 + 80/21*d**3 - 32/7*d**2 + 0 + 60*d. Factor x(n).
-4*(n - 4)**2*(n - 1)**2/7
Let x(z) be the first derivative of 7*z**3/4 - 2109*z**2/8 + 225*z + 2276. Factor x(i).
3*(i - 100)*(7*i - 3)/4
Let c = -292470 + 4387078/15. Solve -10/3*v + 8/5 + c*v**2 - 2/15*v**3 = 0.
1, 12
What is j in 2734/5*j**3 + 2262/5*j**4 + 20*j - 222*j**2 - 1682/5*j**5 + 0 = 0?
-1, 0, 5/29, 2
Let t = -1142 - -1145. Let j(w) be the first derivative of -5*w**t + 0*w**2 + 29 + 5/2*w**4 + 0*w + w**5. Factor j(s).
5*s**2*(s - 1)*(s + 3)
Suppose -40 = 8*c + 72. Let j be ((-6)/c)/((-984)/(-5740)). Determine g, given that 10*g + 0 - j*g**2 = 0.
0, 4
Determine y, given that -175*y**4 - 460*y + 144*y**3 - 120 + 20*y**5 + 94*y**2 + 112*y**3 + 76*y**2 + 59*y**3 = 0.
-1, -1/4, 2, 6
Let b(j) = -j**3 - 3*j**2 - 7*j - 17. Let d be b(-3). Suppose 2 - 14 = 3*c, -3*t + d*c = -22. Find p, given that 6/7 + 60/7*p**t + 39/7*p = 0.
-2/5, -1/4
Suppose -464 = -96761*i + 96529*i. Let 28/5*z - 32/5 + 4/5*z**i = 0. Calculate z.
-8, 1
Let u(w) be the third derivative of 0 - 52/15*w**4 + 6/175*w**7 - 1/25*w**6 + 0*w - 92/75*w**5 - 5*w**2 - 64/15*w**3. Let u(h) = 0. What is h?
-2, -2/3, 4
Suppose 0 = -5*b + 945 - 960. Let j be 9 + 8 + -12 + b. Factor -1/5*n**j + 8/5*n - 16/5.
-(n - 4)**2/5
Let r be 4/((-140)/(-17)) - 12/60. Let 2/7*z**4 - 8/7*z + r*z**3 + 0 - 8/7*z**2 = 0. Calculate z.
-2, -1, 0, 2
Let h(s) be the first derivative of 33*s**4 + 97*s**3 + 33*s**2/2 - 126*s + 2683. Solve h(c) = 0 for c.
-7/4, -1, 6/11
Let r = 195 - -560. Let h = r + -753. Factor 0*k + 0 + 2/3*k**h.
2*k**2/3
Let a(i) be the first derivative of -5*i**3/6 - 4945*i**2/4 - 2470*i - 2421. Factor a(f).
-5*(f + 1)*(f + 988)/2
Factor 0*x + 2/11*x**5 + 0 + 0*x**2 - 34/11*x**3 + 32/11*x**4.
2*x**3*(x - 1)*(x + 17)/11
Suppose 976*y**3 + 1466*y + 4892*y**2 + 5040*y - 180 + 2884 + 46*y + 2*y**5 - 96*y**4 - 30*y**3 = 0. Calculate y.
-2, -1, 26
Let b = 302 + -296. Find d such that 22 - 4*d - 6*d - 5 + 10*d**3 + b*d**4 - 21 - 2*d**2 = 0.
-1, -2/3, 1
Let g(h) be the second derivative of h**6/1080 + h**5/45 - 5*h**4/18 - 11*h**3/3 - 3*h + 11. Let c(y) be the second derivative of g(y). Factor c(q).
(q - 2)*(q + 10)/3
Suppose -154 - 32 = 223*i - 285*i. Factor 8/5 - 4/5*b + 4/5*b**4 + 4/5*b**i - 12/5*b**2.
4*(b - 1)**2*(b + 1)*(b + 2)/5
Let 14*h + 0 - 81/2*h**4 - 9*h**5 + 87/2*h**2 - 8*h**3 = 0. What is h?
-4, -7/6, -1/3, 0, 1
Determine d, given that 120*d - 2470*d**2 + 3*d**5 - 9*d**4 + 4935*d**2 - 123*d**3 - 2456*d**2 = 0.
-5, -1, 0, 1, 8
Find t such that -10*t**3 - 48*t + 43*t**3 + 23*t**3 + 12*t**2 - 3*t**4 - 9*t**2 - 8*t**3 = 0.
-1, 0, 1, 16
Let k = -899 + 934. Suppose -42*j + 21 = -k*j. Factor -3/5*d**2 - 4/5 + 2/5*d**j + 1/5*d**4 - 8/5*d.
(d - 2)*(d + 1)**2*(d + 2)/5
Factor 10*q + 9*q**2 + 27*q + 7*q - 18 + 5*q**2 - 8*q.
2*(q + 3)*(7*q - 3)
Let k = 11546 - 126942/11. Factor -64/11*x**2 + k - 8*x**3 + 48/11*x - 5/11*x**5 - 36/11*x**4.
-(x + 2)**4*(5*x - 4)/11
Let f(n) = 10*n**4 + 257*n**3 + 957*n**2 - 550*n + 4. Let y(v) = 20*v**4 + 512*v**3 + 1912*v**2 - 1100*v + 9. Let a(p) = 9*f(p) - 4*y(p). Factor a(b).
5*b*(b + 5)*(b + 22)*(2*b - 1)
Let t(x) = -13*x**4 - 136*x**3 - 571*x**2 + 9*x - 9. Let q(k) = -14*k**4 - 136*k**3 - 570*k**2 + 10*k - 10. Let l(s) = 9*q(s) - 10*t(s). Factor l(p).
4*p**2*(p + 5)*(p + 29)
Let f(z) be the first derivative of -1/3*z**3 + 5*z**2 - 24*z + 105. Factor f(s).
-(s - 6)*(s - 4)
Let p(y) = 2*y + 40. Let h be p(0). Let x = h + -33. Find d such that -2*d - x - d**2 + 0*d**2 + 2 + 8 = 0.
-3, 1
Let x be (90/(-63) + (-9)/(-21))/((-27)/(-1215)*-15). Solve -2/3*n**2 + 4/3*n + 0 - 2/3*n**x = 0.
-2, 0, 1
Let u = 16880 + -16868. Let i(k) be the first derivative of -u + 25/3*k**3 - 10*k - 15/2*k**2. Factor i(b).
5*(b - 1)*(5*b + 2)
Let p(w) = w**2 - 14*w + 40. Suppose -4*q - 2*h = -48, 2*h + 12 = -10*q + 12*q. Let i be p(q). Let i - 1/3*k + 1/3*k**2 = 0. Calculate k.
0, 1
Let c(g) be the first derivative of -g**5/110 - 5*g**4/66 - 2*g**3/11 - 8*g + 175. Let d(x) be the first derivative of c(x). Determine r so that d(r) = 0.
-3, -2, 0
What is b in 0 + 4/7*b**5 + 16/7*b**2 + 0*b - 4/7*b**3 - 16/7*b**4 = 0?
-1, 0, 1, 4
Let z = -7146 + 7149. Let b(l) be the second derivative of 0 + 0*l**2 - 1/30*l**z - 1/150*l**6 - 7*l - 1/20*l**4 - 3/100*l**5. Factor b(s).
-s*(s + 1)**3/5
Let f(b) = 40*b**3 + 1084*b**2 + 756*b - 218. Let q(x) = 8*x**3 + 217*x**2 + 151*x - 43. Let p(u) = -3*f(u) + 14*q(u). Factor p(r).
-2*(r + 1)*(r + 26)*(4*r - 1)
Suppose -12 = 3*g, -8*f + 8216 = -12*f - 2*g. Let c = 2054 + f. Factor -1/2*x + 3/4*x**c - 1/4*x**3 + 0.
-x*(x - 2)*(x - 1)/4
Let t(c) = -20*c**4 - 590*c**3 - 680*c**2 + 905*c + 55. Let v(k) = -5*k**4 - 149*k**3 - 170*k**2 + 226*k + 14. Let m(u) = -14*t(u) + 55*v(u). Factor m(l).
5*l*(l - 1)*(l + 6)*(l + 8)
Let c(b) = b**5 + b**4 - b**3 - b + 1. Let m(r) = -4*r - 151*r**3 + 4 - 5*r**4 - 4*r**5 + 5*r**5 + 297*r**3 - 156*r**3. Let z(a) = -4*c(a) + m(a). Factor z(h).
-3*h**3*(h + 1)*(h + 2)
Suppose -51*p + 54*p + 7 = 19. Let w(z) be the second derivative of 0 - z - 13/4*z**3 - 9/4*z**2 - 1/2*z**p. Factor w(v).
-3*(v + 3)*(4*v + 1)/2
Suppose 0 = -v - 19 + 21. Suppose -2*p - 2*s = -7*s - 36, v*s + 24 = 2*p. Suppose 12*m**2 - 3*m**4 + p*m**4 - 5*m**4 - 16*m**3 + 4*m**4 = 0. What is m?
0, 1, 3
Let z = 159 + -154. Let i**5 - 158*i**4 + 152*i**4 - i**z - 2*i**5 = 0. What is i?
-3, 0
Let q be (7 - (-161)/(-14))*-6. Suppose 0 = 2*x - q + 19. Suppose 3/2*l**2 - 3/8*l**x + 9/8*l**3 + 0*l + 0 = 0. What is l?
-1, 0, 4
Let a(u) be the second derivative of -u**5/25 + 4*u**4/5 + 162*u**3/5 + 92*u**2 + 14326*u + 1. Solve a(o) = 0 for o.
-10, -1, 23
Let v(z) be the third derivative of 1/18*z**4 + 2*z**2 - 1/540*z**6 + 0*z - 19 + 0*z**3 - 1/270*z**5. Let v(f) = 0. What is f?
-3, 0, 2
Let p(n) be the first derivative of -1/18*n**6 + 1/6*n**4 - 1/15*n**5 + 0*n + 3 + 0*n**2 + 0*n**3. Find s such that p(s) = 0.
-2, 0, 1
Let l(q) = -13*q**4 + 163*q**3 - 331*q**2 + 169*q - 4. Let o(g) = 2*g**4 + 3*g**3 - g**2 - g + 1. Let k(v) = l(v) + 4*o(v). Factor k(j).
-5*j*(j - 33)*(j - 1)**2
Let s be (-8 - (-7 - -5)) + 11. Factor 5*d**5 - 4*d**5 + 30*d**2 + 2*d**s + 2*d**5 - 10*d**4 + 7*d**3 - 32*d**3.
5*d**2*(d - 3)*(d - 1)*(d + 2)
Let d be (-43)/36 + (-10)/(-6 - (-1 - -3)). Let s(f) be the third derivative of 7/360*f**6 + 1/15*f**5 + 0*f + 0 - 13*f**2