 1826. What is y in g(y) = 0?
-2, 0, 111
Let l(i) = i**2 + 30*i + 59. Let q be l(-28). Factor 4*c**2 - 588*c + 0*c**q + 2*c**3 - 88*c**2 - 5*c**3.
-3*c*(c + 14)**2
Let r = 3601 + -3595. Let u(i) be the first derivative of -12*i - 16*i**3 - r*i**4 - 20*i**2 + 24 - 4/5*i**5. Factor u(q).
-4*(q + 1)**3*(q + 3)
Let b = -4018/27 - -4090/27. Suppose -5/3*g**2 - 4/3 - b*g - 1/3*g**3 = 0. What is g?
-2, -1
Factor 14*h**3 - 16/3*h**2 + 0 - 8/3*h.
2*h*(3*h - 2)*(7*h + 2)/3
Let g(p) = -9*p**3 + 31*p**2 + 65*p + 57. Let w(o) = 12*o**3 - 32*o**2 - 64*o - 60. Let t(v) = -5*g(v) - 4*w(v). Solve t(c) = 0.
-5, -3, -1
Let l be ((-109)/(-5777)*583)/(22/6). Determine g, given that 8/3*g**4 + 2 + 34/3*g**2 + 8*g**l + 23/3*g + 1/3*g**5 = 0.
-3, -2, -1
Let g(n) be the third derivative of n**5/300 - n**4/5 + 64*n**3/15 - 282*n**2. Factor g(p).
(p - 16)*(p - 8)/5
Let o be -24 + (-2574)/(-110) - ((-2)/(-5) - 4). Factor 4/7*w**2 - 16/7 - 8/7*w + 2/7*w**o.
2*(w - 2)*(w + 2)**2/7
Let q(t) = 6*t + 872. Let j be q(-145). Let c(g) be the third derivative of 16/3*g**3 + 0*g + g**4 - 23*g**j + 0 + 1/15*g**5. Factor c(x).
4*(x + 2)*(x + 4)
Let p be ((-16)/(-6))/2*-3*292/(-3066). Suppose -4*v + 0*k - k + 4 = 0, 5*v = 5*k + 30. Factor -p - 2/7*x + 2/21*x**v.
2*(x - 4)*(x + 1)/21
Let q(j) be the third derivative of 1/60*j**6 + 0*j - 1/126*j**7 + 0 - 1/1008*j**8 - 37/72*j**4 + 5/6*j**3 + 11/90*j**5 + 32*j**2. Factor q(k).
-(k - 1)**3*(k + 3)*(k + 5)/3
Find a such that -28*a - 2*a**2 + 147*a - 452 + 206 + 129*a = 0.
1, 123
Let i(t) be the second derivative of -3/20*t**5 + 19*t + 2*t**3 + 0 + 0*t**4 + 0*t**2. Let i(q) = 0. What is q?
-2, 0, 2
Let m(s) = s**2 - 2*s - 1368. Let f be m(38). Let z(b) be the second derivative of 0*b**2 + f - 4/3*b**3 - 1/3*b**4 - b. Find y, given that z(y) = 0.
-2, 0
Let m(k) be the third derivative of -k**6/160 - 11*k**5/16 - 667*k**4/32 + 2523*k**3/8 + 3*k**2 + 225*k. Suppose m(i) = 0. What is i?
-29, 3
Suppose 5*j = j + 16. Suppose 5251*f = 4540*f. Factor 0*c + 1/8*c**j + f + 0*c**2 - 1/8*c**3.
c**3*(c - 1)/8
Let j(a) be the second derivative of -3*a**5/20 + 4*a**4 + 1368*a**3 - 108864*a**2 + 4084*a + 2. Find v, given that j(v) = 0.
-56, 36
Let v(w) be the first derivative of -1/16*w**4 - 1/2*w**3 + 22 - w**2 + 0*w. Factor v(u).
-u*(u + 2)*(u + 4)/4
Let w(d) be the first derivative of -64 - d**3 - 3*d**3 + 125*d - 20*d**2 + d**4 - 125*d. Factor w(o).
4*o*(o - 5)*(o + 2)
Let t be -1 - 1 - (-48)/18. Let j(b) = b**3 + 83*b**2 + 461*b - 4. Let l be j(-6). Determine c so that 10/3*c + 8/3*c**l + 4/3 + t*c**3 = 0.
-2, -1
Let a(f) be the third derivative of f**6/180 + 8*f**5/15 + 247*f**4/12 + 3718*f**3/9 - 2*f**2 - 3450*f. Determine z so that a(z) = 0.
-22, -13
Suppose 86*k**2 - 16*k + 4*k**3 - 880*k**2 + 782*k**2 = 0. What is k?
-1, 0, 4
Solve 1/6*x**3 - 1075/6 - 135/2*x - 11/2*x**2 = 0 for x.
-5, 43
Factor -10*h + 1792*h**2 - 3575*h**2 + 11 + 1782*h**2.
-(h - 1)*(h + 11)
Let z(a) be the third derivative of -a**8/84 - 6*a**7/35 - 61*a**6/120 - 3*a**5/5 - 7*a**4/24 + 681*a**2 + a. Find s, given that z(s) = 0.
-7, -1, -1/2, 0
Let j(z) = -z**2 - 933*z - 117448. Let x be j(-150). Solve -3*o + 113/11*o**x - 2/11 - 78/11*o**3 = 0.
-2/39, 1/2, 1
Factor -12614*c + 16*c**3 - 28*c**2 - 22 - 19 - 12545*c - 13 + 25063*c + 2*c**4.
2*(c - 3)*(c + 1)**2*(c + 9)
Let n(j) be the third derivative of j**6/900 + j**5/15 - 23*j**4/20 + 36*j**3/5 - 7041*j**2. Let n(f) = 0. Calculate f.
-36, 3
Let d(o) = -2*o**3 - 12*o**2 + 16*o + 17. Let p be d(-7). Solve -9*r**3 + 29*r**3 - 8*r**p - 4*r - 8*r**3 = 0 for r.
-1, 0, 1
Let -5/4*b**4 + 45/4*b**2 + 0 + 0*b + 10*b**3 = 0. What is b?
-1, 0, 9
Suppose -1723 - 455 = 6*c. Let k be c/330 - (-1 + -2). Solve -4/5*z - 2/5 - 7/10*z**3 + k*z**2 = 0.
-2/7, 1, 2
Let r(q) be the third derivative of -q**9/181440 - 13*q**8/60480 - 19*q**5/5 + 224*q**2. Let s(u) be the third derivative of r(u). Factor s(h).
-h**2*(h + 13)/3
Let j = -35/124 + 1823/5580. Let h(v) be the third derivative of -10/9*v**4 + 1/15*v**5 + 25/9*v**3 + 0*v + 1/315*v**7 + 0 + j*v**6 - 11*v**2. Factor h(m).
2*(m - 1)**2*(m + 5)**2/3
Suppose -x = -3*k + 67, 6*x - 4*k = 2*x - 228. Let s = x + 56. Solve -12 + 20*u**4 + 21*u - 117*u**3 + 51*u**2 - 2*u**4 + 24*u**s + 15*u = 0 for u.
-1/2, 2/7, 1, 2
Let i(s) be the third derivative of 9*s**7/350 - 327*s**6/200 - 563*s**5/100 - 53*s**4/8 - 19*s**3/5 + 1056*s**2. Find w, given that i(w) = 0.
-1, -1/3, 38
Factor 74/11*d + 516/11 - 2/11*d**2.
-2*(d - 43)*(d + 6)/11
Let l = 47843/837865 + 1/23939. Let b(c) be the second derivative of -l*c**6 - 2/147*c**7 - 1/21*c**4 - 26*c + 0*c**3 + 0*c**2 + 0 - 3/35*c**5. Factor b(x).
-4*x**2*(x + 1)**3/7
Solve 42/5*y**5 + 546/5*y**3 + 16/5*y**2 + 64/5 - 404/5*y**4 - 264/5*y = 0.
-2/3, 2/7, 1, 8
Suppose 18*w + 10 = 13*w + 5*p, 2*p - 5 = w. Let x be 27/9 - 1/w. Factor 3/2*j + 1/2*j**3 - x*j**2 + 0.
j*(j - 3)*(j - 1)/2
Let h be 1578/4 - 2 - (-87)/29. Let g = h + -393. Suppose 30*s + g*s**2 + 90 = 0. What is s?
-6
Let a(g) = 2*g**4 - 78*g**3 - 376*g**2 - 530*g - 234. Let w(j) = j**4 - 38*j**3 - 188*j**2 - 266*j - 117. Let z(y) = 2*a(y) - 5*w(y). Factor z(n).
-(n - 39)*(n + 1)**2*(n + 3)
Let n(m) be the third derivative of -m**6/2700 + m**5/450 + 2*m**4/45 - 7*m**3 - 45*m**2. Let w(o) be the first derivative of n(o). Solve w(v) = 0 for v.
-2, 4
Let v(c) be the first derivative of -c**5/5 - 117*c**4/2 - 4563*c**3 - 75. Find d such that v(d) = 0.
-117, 0
Let j = 144901/18 + -8050. Let v(k) be the first derivative of 1/12*k**2 + j*k**3 + 17 + 0*k. Factor v(u).
u*(u + 1)/6
Let y be -8 + (-1686)/(-126) + -3. Let a = y - 337/168. Factor -9/8*h**2 - 3/8 - a*h**3 - 9/8*h.
-3*(h + 1)**3/8
Let n(k) be the first derivative of -881*k**4/14 - 4*k**3/21 - 6156. Find s such that n(s) = 0.
-2/881, 0
Let p(z) be the first derivative of -2312/19*z**3 - 39304/19*z**2 + 0*z + 12 - 51/19*z**4 - 2/95*z**5. Let p(i) = 0. What is i?
-34, 0
Suppose 7*x - 57 = -1. Let n be x/(-18)*(-18)/4. Find k such that -1/3*k**3 + 1/3*k + k**4 - 5/3*k**n + 2/3 = 0.
-1, -2/3, 1
Let w(f) be the first derivative of f**4/6 - 4*f**3/3 + 3*f**2 + 42*f + 23. Let k(s) be the first derivative of w(s). Let k(u) = 0. What is u?
1, 3
Let r(n) = 45*n**2 + 22*n - 29. Let i be r(15). Let x = -114596/11 + i. Factor -42/11 - 54/11*k**2 - 6/11*k**3 - x*k.
-6*(k + 1)**2*(k + 7)/11
Let d(g) = -g**3 + 10*g**2 + 2*g - 17. Suppose -33*y + 40*y = 70. Let p be d(y). Solve -4/3*v - 8/3 + 4/3*v**p + 8/3*v**2 = 0.
-2, -1, 1
Let z(v) = -v**3 + v. Let d(t) = 13*t + 61. Let r be d(-5). Let o(n) = -4*n**5 + 100*n**4 + 208*n**3 + 108*n**2 + 4*n. Let b(k) = r*z(k) + o(k). Factor b(c).
-4*c**2*(c - 27)*(c + 1)**2
Factor 1/3 - 238/3*h**2 - 37/2*h.
-(4*h + 1)*(119*h - 2)/6
Let n(s) = 17*s**4 - 41*s**3 + 74*s**2 - 8. Let l(z) = -37*z**4 + 81*z**3 - 149*z**2 + 18. Let d(r) = 4*l(r) + 9*n(r). Factor d(p).
5*p**2*(p - 7)*(p - 2)
Let p(v) = 5*v**3 - 2*v**2 + 23*v - 7. Let k be p(5). Factor 1 - k*n**2 - 1 + 51*n + 680*n**2.
-3*n*(n - 17)
Factor -114/7*s - 1/7*s**2 - 1313/7.
-(s + 13)*(s + 101)/7
Suppose 0 = -0*q - q + 5. Suppose 8 = 2*a + 5*v - 17, -2*v = 5*a - 10. Determine s so that -1/2*s**3 + 1/2*s**q + 0 + a*s**4 + 0*s + 0*s**2 = 0.
-1, 0, 1
Let o(x) = -2*x**3 + 14*x**2 + 152*x + 360. Let d(z) = -2*z**3 + 11*z**2 + 150*z + 360. Let q(c) = 4*d(c) - 3*o(c). Factor q(b).
-2*(b - 10)*(b + 3)*(b + 6)
Suppose 20*w = 79 + 41. Factor -48*x + 121*x**2 - 28*x**2 - 112 - w*x**3 - 33*x**2 + 2*x**3.
-4*(x - 14)*(x - 2)*(x + 1)
Let u be 1 + (-143)/156 + 2/8. Let f(n) = 4*n**2 - 5*n + 6. Let t be f(2). Let 0 + 16*m**2 - 13/3*m**3 + u*m**4 - t*m = 0. Calculate m.
0, 1, 6
Let v = 316881/80 - 3961. Let f(c) be the second derivative of -25*c + 0 - 1/8*c**2 - 1/16*c**4 + 1/8*c**3 + v*c**5. Factor f(o).
(o - 1)**3/4
Suppose 17*f + 3*z + 24 = 23*f, 5*f - 4*z = 8. Suppose -20*a**2 + 49/2*a**4 + 7/2*a**3 - f*a + 0 = 0. What is a?
-4/7, 0, 1
Let w(i) = i**3 + 2*i**2 + 1. Let g(o) = 147 - 352*o**2 - 176 - 130*o - 49*o**4 + 130*o**2 - 70*o + 269*o**3. Let q(b) = -2*g(b) + 6*w(b). Factor q(p).
2*(p - 4)*(p - 2)*(7*p + 2)**2
Let b(p) = -p**3 - 16*p**2 - 14*p + 21. Let o be b(-15). Let w be (12*o/24)/9. Factor 0 + w*m + 2/3*m**4 + 0*m**2 - m**3.
m*(m - 1)**2*(2*m + 1)/3
Factor 1025/4*c - 5/4*c**2 + 2625/2.
-5*