 - 8*u + 4/3*u**3. Solve g(k) = 0 for k.
-1, 2
Factor 22159*b**2 - 2163195 - 48*b**4 + 348*b**3 + 13345*b**2 + 28224*b - 4949253 - b**5.
-(b - 18)**2*(b + 28)**3
Let k(o) be the second derivative of 133*o**4/32 + 67*o**3/8 + 3*o**2/16 - 7*o - 38. Factor k(i).
3*(i + 1)*(133*i + 1)/8
Let 50/3 + 34967/2*q**2 + 3290/3*q + 27889/6*q**4 - 54943/3*q**3 = 0. What is q?
-5/167, 2
Determine v so that 182*v**2 - 118*v**2 + 1960 - 5*v**4 - 129*v**2 + 1090*v - 60*v**3 - 40*v = 0.
-7, -2, 4
Suppose 5 = 61*h - 300. Suppose 2*f = -h*j - 21, 4 = 2*f + 3*j + 15. Factor 4/3*q**f + 3 - 4*q.
(2*q - 3)**2/3
Let l(v) be the first derivative of 21 + 11/4*v**4 - 7/5*v**5 + 0*v**2 + 1/6*v**6 - 5/3*v**3 + 0*v. Factor l(m).
m**2*(m - 5)*(m - 1)**2
Let i(j) be the third derivative of 0*j**3 + 0*j**4 + 3 + 2/315*j**7 + 0*j - 1/90*j**6 - 3*j**2 - 2/45*j**5. Factor i(m).
4*m**2*(m - 2)*(m + 1)/3
Let u = 136993/6 + -22832. Let q(j) be the third derivative of -13/15*j**5 + u*j**6 + 0*j + 0 + 2/3*j**4 - 22*j**2 + 8/3*j**3. Solve q(r) = 0.
-2/5, 1, 2
Let p = -15 - -27. Suppose p = -3*o - o + 5*d, 5*o - 3*d + 2 = 0. Factor 59*c**3 + 3*c + 0*c**2 - 62*c**3 + 0*c**o.
-3*c*(c - 1)*(c + 1)
Let g(t) = -456551*t**3 - 17787*t**2 - 231*t - 4. Let n(p) = 6*p**3 + 1. Let c(i) = 5*g(i) + 15*n(i). Solve c(k) = 0.
-1/77
Solve 264*o**2 - 2796*o + 3*o**4 + 351*o**3 + 2352 + 277*o**3 + 780*o - 556*o**3 = 0.
-14, 2
Let m(f) = -139*f + 18490. Let v be m(133). Solve -3/4*z + 1/2 + 1/4*z**v + 0*z**2 = 0 for z.
-2, 1
Let x = -26253/755 - -9237/151. Find w such that 387/5*w**2 - 123/5*w**3 - 3/5*w**4 - 393/5*w + x = 0.
-44, 1
Let q(y) be the first derivative of -49*y**6/6 - 3248*y**5 - 335238*y**4 + 770240*y**3/3 - 55112*y**2 - 437. Find d such that q(d) = 0.
-166, 0, 2/7
What is i in 55*i**2 + 163/3 - 1/3*i**3 - 109*i = 0?
1, 163
Factor 2/11*b**4 + 1508/11*b**3 + 282752/11 + 285762/11*b**2 + 567008/11*b.
2*(b + 1)**2*(b + 376)**2/11
Let t(p) be the first derivative of p**4/24 + 5*p**3/18 - 23*p**2/6 + 20*p/3 + 2923. Determine j, given that t(j) = 0.
-10, 1, 4
Let x(v) = -16*v**4 + 106*v**3 - 69*v**2 - 169*v + 27. Let c(z) = z**4 - z**3 - 3*z**2 + z + 1. Let l(k) = 5*c(k) + x(k). Suppose l(a) = 0. Calculate a.
-1, 2/11, 2, 8
Suppose -5317*v = -5784*v + 2335. Let 12/5*w**4 + 16/5*w**3 + 0 - 12/5*w**2 - 18/5*w + 2/5*w**v = 0. What is w?
-3, -1, 0, 1
Let c be (-6)/7*15351/(-6579). Factor 2*o**c - 32/3 - 94/3*o.
2*(o - 16)*(3*o + 1)/3
Let d(t) be the first derivative of -3/5*t**6 - 4*t**2 - 3*t**5 - 37/6*t**4 - 27 - 20/3*t**3 - 21*t. Let c(q) be the first derivative of d(q). Factor c(b).
-2*(b + 1)**2*(3*b + 2)**2
Let r(j) be the third derivative of -j**7/105 + j**6/10 + 4*j**5/5 - 56*j**4/3 + 128*j**3 + 2105*j**2. Determine z so that r(z) = 0.
-6, 4
Let k = -2087 + 2091. Let w(f) be the second derivative of -6*f + 0 + 2/21*f**7 + 4/3*f**k - 4/15*f**6 - 4*f**2 - 2/5*f**5 + 2/3*f**3. Solve w(m) = 0 for m.
-1, 1, 2
Let q be (-132)/165 + 98/10. Solve q*b**2 - 5*b**2 + 3*b**2 - 4*b**2 + 13*b**2 - b**4 = 0 for b.
-4, 0, 4
Let y(p) be the third derivative of 11*p**6/540 + 2*p**5/15 + p**4/9 + 6*p**3 + 71*p**2. Let t(m) be the first derivative of y(m). Factor t(w).
2*(w + 2)*(11*w + 2)/3
Let k = -5 - -7. Let v(t) = 469*t + 7038. Let p be v(-15). Let 2/9*c**p + 26/9*c**k - 98/9 + 70/9*c = 0. What is c?
-7, 1
Let n(r) = r**3 + 12*r**2 + 31*r + 13. Let v be n(-8). Factor 24*o + 2*o**3 - 96*o + 0*o**3 - 3*o**3 - 68 - v*o**2.
-(o + 2)**2*(o + 17)
Let p be 1*2/4*130. Suppose p = 7*f - 47. Find w such that -3*w**5 + f*w**3 + 10*w**4 - 9*w**2 - w**4 + 6*w - 19*w**3 = 0.
-1, 0, 1, 2
Let r(j) be the first derivative of -51*j**5 - 2275*j**4/4 - 2235*j**3 - 6345*j**2/2 + 540*j - 409. Find a such that r(a) = 0.
-3, 4/51
Let z(s) be the second derivative of -s**5/15 + 5*s**4/6 + 3*s**2/2 + 2*s - 8. Let d(j) be the first derivative of z(j). Factor d(u).
-4*u*(u - 5)
Let r be 2*-5 + ((-64)/(-112))/((-16)/(-294)). Find p, given that 0 + 1/2*p**2 - r*p = 0.
0, 1
Let r be -3 + (-684)/(-40) + 20/50 + -1. Factor 0 - 243/4*d - 3/4*d**3 - r*d**2.
-3*d*(d + 9)**2/4
Factor -16*r**3 + 2/7*r**4 + 416/7*r**2 + 0*r + 0.
2*r**2*(r - 52)*(r - 4)/7
Factor 298068*l**2 + 12808*l**3 + 1227664 - 6403*l**3 - 1218800*l + 4*l**4 - 4205*l**3.
4*(l - 2)**2*(l + 277)**2
Let c be 0 - 70/34 - -3. Let s = -137018 - -2329318/17. Find u, given that 2/17*u**2 + c - s*u = 0.
2, 4
Let j(z) = 4*z**3 + 120*z**2 + 240*z + 120. Let f(v) = 8*v**3 + 241*v**2 + 479*v + 239. Suppose 16*w - 8*w = 56. Let i(x) = w*j(x) - 4*f(x). Factor i(s).
-4*(s + 1)**2*(s + 29)
Let v(g) be the first derivative of 2/25*g**5 + 0*g + 3/5*g**4 + 22/15*g**3 + 15 + 6/5*g**2. Determine m so that v(m) = 0.
-3, -2, -1, 0
Suppose 208/3*p**3 + 61/3*p**2 - 10*p - 4/3*p**5 + 113/3*p**4 + 0 = 0. What is p?
-1, 0, 1/4, 30
Suppose -7*z + 501 + 87 = 0. Let x be ((-5)/(-7))/(210/z). Suppose 0*y + 4/7*y**3 + x*y**4 + 0*y**2 + 0 = 0. Calculate y.
-2, 0
Let t(i) be the second derivative of -9*i - 288*i**2 - 301/5*i**5 + 2 - 1933/3*i**4 - 49/30*i**6 - 688*i**3. Factor t(n).
-(n + 12)**2*(7*n + 2)**2
Suppose 0 = 16*q + 29 - 61. Find w such that 151*w**q - 180 - 132*w + 12*w + 15*w**5 + 125*w**4 + 345*w**3 + 144*w**2 = 0.
-3, -2, -1, 2/3
Suppose b + 25 = 5*p, 5*b = -2*p + 9 + 1. Factor 837*n**5 + n**3 - 11*n**2 + 3*n**4 + 4*n - 838*n**p + 8*n - 4.
-(n - 2)*(n - 1)**3*(n + 2)
Suppose -3*l - 4*p = -86, 148 = 4*l - p + 8. Solve 4*o**3 + l - 34 - 64*o + 48*o - 12*o**2 = 0.
-1, 0, 4
Let i(a) = 31*a**3 - a**2 - a - 1. Let k be i(-1). Let h = 34 + k. Factor -4*x**2 - 2*x**2 + 0*x**2 - 6*x + 3*x**h.
-3*x*(x + 2)
Let l be (728/(-91))/(0 + 1/(-6)). Factor -535*r**2 + 317*r**2 + 326*r**2 - 52 + 8*r**3 + l*r.
4*(r + 1)*(r + 13)*(2*r - 1)
Let r be (-4 + 9)*(-3)/(-5). Let p = -14 + 17. Factor -67*x**p - 1 + 5*x**2 + 0*x**2 + 73*x**r - 2*x.
(x + 1)*(2*x - 1)*(3*x + 1)
Let a = -31661 + 31661. Let m(y) be the second derivative of -37*y + 0 + y**3 + a*y**2 + 1/6*y**4. Factor m(d).
2*d*(d + 3)
Let g = -395 - -397. Suppose g*j**2 - 68*j + 26*j + 2*j + 89 - 17 = 0. What is j?
2, 18
Factor -1/4*k**4 - 75/4 - 17*k**2 - 65/2*k - 7/2*k**3.
-(k + 1)*(k + 3)*(k + 5)**2/4
Let v(w) be the first derivative of -w**5/45 - w**4/18 + 8*w**3/27 - w**2/3 + 61*w + 5. Let f(x) be the first derivative of v(x). Factor f(k).
-2*(k - 1)*(k + 3)*(2*k - 1)/9
Let d(q) be the third derivative of -q**5/30 + 889*q**4/6 + 593*q**3 + 2*q**2 - 14*q - 32. Solve d(r) = 0 for r.
-1, 1779
Let z(m) be the second derivative of -m + 0*m**2 + 2/15*m**6 + 0*m**3 + 12 - 4/5*m**5 + 4/3*m**4. Let z(f) = 0. What is f?
0, 2
Let i be (7/42)/((-517)/(-564)). Determine g, given that 12/11*g**2 - 2/11*g**3 - 4/11*g**4 - i*g - 4/11 = 0.
-2, -1/2, 1
Factor 1210*g - 345938 - 5*g**2 + 967*g + 1503*g - 331182.
-5*(g - 368)**2
Let l(t) = 2*t**2 + t + 15. Let v be l(0). Suppose 2*z = -9 + v. Factor 3*j**4 + 4*j**5 - 2*j**2 - 1 + 3*j - 2*j**5 - 2*j**z - 3*j**5.
-(j - 1)**4*(j + 1)
Factor -17/3*f**2 + 80/3 + 64/3*f - 1/3*f**3.
-(f - 4)*(f + 1)*(f + 20)/3
Factor -22472 - 424/3*g - 2/9*g**2.
-2*(g + 318)**2/9
Let n(x) be the second derivative of 18*x**2 + 0 + 2*x**4 + 3/20*x**5 - 17*x + 19/2*x**3. What is o in n(o) = 0?
-4, -3, -1
Let j(q) be the third derivative of q**7/175 - 32*q**6/75 + 254*q**5/25 - 56*q**4 + 320*q**3/3 + 423*q**2 - 2*q. Let j(b) = 0. What is b?
2/3, 2, 20
Let h = 1485 - 26729/18. Let s(x) be the first derivative of 1/9*x - 11 - h*x**2 + 1/36*x**4 - 1/27*x**3. Factor s(u).
(u - 1)**2*(u + 1)/9
Let k(h) be the second derivative of -175*h**7/33 + 217*h**6/55 - 36*h**5/55 - 2*h**4/33 - 2681*h. Determine b, given that k(b) = 0.
-1/25, 0, 2/7
Let t(g) = -28*g. Let r be t(-2). Let z be 42/5 + (-44)/330*3. Let -2*v**5 + r*v**3 - z*v**2 + 52*v**3 - 106*v**3 + 8*v**4 = 0. Calculate v.
-1, 0, 1, 4
Determine r so that 191528*r**2 - 191657*r**2 + 2*r**3 - 5*r**3 - 1320*r - 756 + 2208 = 0.
-22, 1
Let o(m) = 4*m**2 + 31*m - 4. Let l(u) = -3*u**2 - 34*u + 4. Let s(h) = -5*l(h) - 6*o(h). Suppose s(c) = 0. Calculate c.
-2, 2/9
Let f be 10/(-12) - (489/(-198) + (-12)/33). Suppose 0 + 12/5*q**f + 9/5*q = 0. What is q?
-3/4, 0
Let r(f) = -2*f**2 + 56 - 8*f + 10*f - 56. Let y be r(0). Suppose y*j - 2/7 + 2/7*j**2 = 0. Calculate j.
-1, 1
Let s(f) = 4*f**3 + 12*f**2 + 26*f + 14. Let