ative of 11/2*j**2 + 4/3*j**k - 25 + 6*j - 1/4*j**4. Factor a(x).
-(x - 6)*(x + 1)**2
What is r in 679*r**2 - 391*r - 896*r**2 + 218*r**2 - 643*r = 0?
0, 1034
Let t(h) be the third derivative of h**4/12 - 11*h**3/3 + 4*h**2. Let k be t(12). Factor 9*v**k - v + 6 - 12*v**2 + v + 3*v.
-3*(v - 2)*(v + 1)
Suppose 9 = -85*y + 88*y. Solve 3*a - 4 - 4*a**4 - 4*a**5 - 19*a**2 + 27*a**2 + 8*a**y - 7*a = 0 for a.
-1, 1
Let q be 0 - 486/(-20)*(-28)/(-14). Find r, given that -q*r**2 - 216/5*r - 48/5 = 0.
-4/9
Let y(q) = q + 24. Let n be y(9). Let l = n + -29. Find x, given that -4*x**5 - 18*x**4 + 3*x**3 + x**5 + 15*x**l + 3*x**2 = 0.
-1, 0, 1
Suppose -212 - 119 = -182*s + 33. Let x(v) be the first derivative of 14 + 2/21*v**3 + 10/7*v - 6/7*v**s. Determine f so that x(f) = 0.
1, 5
Let a(j) be the third derivative of j**7/1050 + 47*j**6/200 - 143*j**5/100 + 431*j**4/120 - 24*j**3/5 - 913*j**2. Factor a(y).
(y - 1)**3*(y + 144)/5
Let n be 4*(-11)/((-22)/(-4)). Let q be 4/n + 0 + (-9)/(-12). Factor -1/4*a + 0 + q*a**2.
a*(a - 1)/4
Let c(x) be the second derivative of -x**7/1512 + 5*x**6/432 - x**5/12 - 7*x**4 + x**2/2 + x - 23. Let q(z) be the third derivative of c(z). Factor q(j).
-5*(j - 3)*(j - 2)/3
Let l(z) be the second derivative of -z**7/210 + 19*z**6/45 - 722*z**5/45 + 27*z**4/2 + 8*z - 8. Let a(i) be the third derivative of l(i). Factor a(d).
-4*(3*d - 38)**2/3
Let z(k) be the first derivative of 332 + 0*k**2 - 28/25*k**5 + 0*k + 4/15*k**3 + 3/10*k**4. Factor z(t).
-2*t**2*(2*t - 1)*(7*t + 2)/5
Let i be (-1 - -1)*4/(0 + -4). Suppose -8*g - 2*g + 80 = i. Factor 43 - 92 - 32*p - 2*p**4 + g*p**3 + 81.
-2*(p - 2)**3*(p + 2)
Suppose 6*s = -27 + 39. Suppose -10*n = s - 32. Factor 1/4*q**n + 3/4*q**2 - 1/4*q**4 - 1/2 - 1/4*q.
-(q - 2)*(q - 1)*(q + 1)**2/4
Let p(j) be the first derivative of -2/5*j**5 + j**2 - 1/12*j**6 - 3/8*j**4 + 142 + 0*j + 2/3*j**3. Find f such that p(f) = 0.
-2, -1, 0, 1
Let i(n) be the first derivative of -2*n**4/5 + 106*n**3/15 + 107*n**2/5 - 12*n + 8058. Suppose i(o) = 0. Calculate o.
-2, 1/4, 15
Suppose -q = y + 3, -4*q + 7*q = y - 17. Suppose 4 + 0 = -4*t, -5*z = -2*t - y. Factor 0*c**4 + z*c + 3/7*c**5 + 0 + 0*c**2 - 3/7*c**3.
3*c**3*(c - 1)*(c + 1)/7
Let t(p) be the third derivative of -p**6/200 - p**5/100 + 3*p**4/2 - 54*p**3/5 + 2*p**2 - 34*p - 20. Factor t(b).
-3*(b - 6)*(b - 2)*(b + 9)/5
Let x(v) be the third derivative of v**6/140 + 9*v**5/140 - 5*v**4/56 - 3237*v**2. Find d, given that x(d) = 0.
-5, 0, 1/2
Let n(b) = -40*b**3 - b**2. Let f be n(1). Let p = f - -45. Factor -7 - 24*k**3 - 4*k**p - 40*k - 48*k**2 - 5 + 0.
-4*(k + 1)**3*(k + 3)
Let i(p) be the first derivative of -p**4 + 20*p**3/3 - 16*p**2 + 16*p + 1587. Factor i(b).
-4*(b - 2)**2*(b - 1)
What is l in 2*l**4 - 3*l**2 - 4*l**2 + 4*l**4 - 4*l**3 + l**2 - 661*l**5 + 5*l + 660*l**5 = 0?
-1, 0, 1, 5
Let c be (-20936)/(-3120) - (-6)/36. Let l = -66/13 + c. What is m in 0 - 7/5*m**5 + m**4 - m**2 - 2/5*m + l*m**3 = 0?
-1, -2/7, 0, 1
Let h(s) be the third derivative of s**6/30 + 11*s**5/5 + 42*s**4 + 440*s**3/3 - 10400*s**2 - 1. What is p in h(p) = 0?
-22, -10, -1
Factor -2*y**3 - 24*y**2 - 25*y**2 - 21*y**2 + 2*y - 31*y**2 + 4*y**4 + 97*y**2.
2*y*(y - 1)*(y + 1)*(2*y - 1)
Let p be (-4)/22 - (-48)/22. Let b be 1 + -5 - (-22)/p. Solve 15*t**2 - 10*t**2 - b*t**2 = 0 for t.
0
Let s = 2/4635 + 4896103/4635. Let f = s + -1047. Let -160/3*z**2 - f*z**5 + 64/3 + 12*z**4 + 160/3*z**3 - 64*z = 0. What is z?
-2, -1, 2/7, 2
Let n(y) = y**3 + 2*y**2 + 5*y + 5. Let z be n(-2). Let g be 144/20 + -8 - 6/z. Solve 3/5*q - g + q**2 = 0 for q.
-1, 2/5
Let n(k) = 50*k**3 - 444*k**2 + 1582*k - 1766. Let u(m) = -m**4 - 100*m**3 + 889*m**2 - 3164*m + 3533. Let d(a) = -5*n(a) - 2*u(a). Factor d(o).
2*(o - 9)*(o - 7)**2*(o - 2)
Let q(g) be the second derivative of g**4/18 + 650*g**3/9 - 217*g**2 + 2*g + 735. Factor q(x).
2*(x - 1)*(x + 651)/3
Suppose 15 = 2*g + 3*z, -5*z + 3 + 18 = 2*g. Let u = -1928/33 + 650/11. Let -u*i**2 + 0*i + 0 - 2/3*i**g = 0. Calculate i.
-1, 0
Let o(p) be the third derivative of 0*p + 1/105*p**7 + 1/6*p**5 + 96*p**2 + 0*p**3 + 1/15*p**6 + 1/6*p**4 + 0. Suppose o(g) = 0. Calculate g.
-2, -1, 0
Factor -322/3 - 1/3*q**2 - 163/3*q.
-(q + 2)*(q + 161)/3
Let a(t) be the third derivative of 1/150*t**5 - 1/12*t**4 + 0*t + 2/5*t**3 - 3*t**2 - 2. Factor a(h).
2*(h - 3)*(h - 2)/5
Suppose 4*x - 18 = -6. Let d(o) = o**3 - o**2 + o. Let b(w) = -w**3 - 60*w**2 - 258*w + 200. Let r(n) = x*b(n) - 6*d(n). Solve r(z) = 0 for z.
-10, 2/3
Let w = -16665 + 66687/4. Find b, given that 9/2*b - 3/4*b**2 - w = 0.
3
Let v be (6/15)/(((-2)/(-50))/((-159)/(-530))). Let -38/3*s - 55/3*s**2 - 1/2*s**4 - 5/2 - 26/3*s**v = 0. Calculate s.
-15, -1, -1/3
Let y be 5 + 23/((-230)/20). Let g(a) be the third derivative of -1/21*a**4 + 1/210*a**5 + 0 + 1/7*a**y + 0*a - 16*a**2. Factor g(k).
2*(k - 3)*(k - 1)/7
Factor -8*b**4 + 10624*b**2 - 44*b**5 - 10624*b**2.
-4*b**4*(11*b + 2)
Let y(g) = -1100*g**3 - 3190*g**2 + 195*g + 45. Let t(s) = 50*s**3 + 145*s**2 - 9*s - 2. Let r(q) = -45*t(q) - 2*y(q). Let r(d) = 0. What is d?
-3, 0, 1/10
Let w = -100791 - -100795. Suppose -2/3*h**3 - 4 - 14/3*h**2 + 26/3*h + 2/3*h**w = 0. Calculate h.
-3, 1, 2
Suppose -167*g - 7*m + 7 - 149 = -170*g, 4*m + 76 = 0. Determine h, given that -1/4*h**4 + 1/2*h**g + 0 + h**2 - 2*h = 0.
-2, 0, 2
Let u(z) = 3*z + 11 + 17 - 11. Let m be u(-5). Factor -6*p - 6*p**4 - 7 + 4*p**3 + 4*p**2 + 21 + m*p**5 - 12.
2*(p - 1)**4*(p + 1)
Let q(c) = 2*c**2 - c - 7. Let u(d) = -44*d**2 - 600*d - 460. Let f(z) = -24*q(z) - u(z). Determine g, given that f(g) = 0.
-1, 157
Let f(i) be the third derivative of 2/15*i**3 + i**2 - 3/20*i**4 + 0*i**6 + 0*i + 11/150*i**5 + 8 - 4/525*i**7. Let f(r) = 0. What is r?
-2, 1/2, 1
Let s(o) = o**2 + o - 7. Let u(n) = 5*n**2 + 2547*n - 806499. Let c(t) = 14*s(t) - 2*u(t). Find r, given that c(r) = 0.
635
Let s(c) be the second derivative of 3*c**5/50 + 4879*c**4/30 + 661511*c**3/5 + 660969*c**2/5 + 5173*c. Find k, given that s(k) = 0.
-813, -1/3
Let c be 4758/195 + 3 + -27. Find s, given that 0*s + 3/5*s**3 + c*s**2 + 1/5*s**4 + 0 = 0.
-2, -1, 0
Factor 72*r + 25*r**3 - 141222*r**2 + 141399*r**2 - 1210 + r**4 + 71*r.
(r - 2)*(r + 5)*(r + 11)**2
Let -14*p**3 - 31*p**2 + 88 + 214/3*p + 1/3*p**4 = 0. Calculate p.
-3, -1, 2, 44
Factor -1/5*v**3 + 69*v + 0 - 344/5*v**2.
-v*(v - 1)*(v + 345)/5
Let h = 26/15 - 2008/1155. Let j = 57/385 + h. Factor -1/7*f + j*f**2 + 0 + 1/7*f**3 - 1/7*f**4.
-f*(f - 1)**2*(f + 1)/7
Let -8*k**2 - 321*k**4 - 12*k**3 + 48*k + 98*k**4 + 115*k**4 + 64 + 106*k**4 = 0. What is k?
-4, -2, 2
Let f(a) = -a**3 + 6*a**2 + 8*a - 5. Suppose -7 = -z - 3*y, 2*z = -2*z + y + 28. Let k be f(z). Factor 4*c**2 - c**k - 420*c**3 + 423*c**3.
3*c**2*(c + 1)
Let n(c) be the third derivative of c**6/320 + 69*c**5/160 + 67*c**4/32 - c**2 + 2*c - 664. Factor n(a).
3*a*(a + 2)*(a + 67)/8
Let k(z) be the second derivative of 0*z**2 + 1/33*z**4 + 3/110*z**5 - 1/231*z**7 + 0*z**3 + 121*z + 0 + 0*z**6. Factor k(p).
-2*p**2*(p - 2)*(p + 1)**2/11
Let u be (6 + -7)/(2/(-94)). Factor 45*i**2 - 88*i**2 - 4*i + u*i**2.
4*i*(i - 1)
Let q = 29 - -7. Solve -8*s**2 + 28*s**2 - q + 7*s + 12*s**3 + 5*s - 8*s**3 = 0 for s.
-3, 1
Let x(f) = 39*f**3 + 39*f**2 - 339*f + 297. Let z(w) = -30*w**3 - 29*w**2 + 254*w - 223. Let r(j) = -7*x(j) - 9*z(j). Factor r(s).
-3*(s - 3)*(s - 1)*(s + 8)
Let w(g) be the first derivative of -g**4/12 - 2162*g**3/9 - 1168561*g**2/6 - 369. Suppose w(i) = 0. What is i?
-1081, 0
Suppose 5443*o - 5447*o + 66 = q, -3*o = -3*q - 42. Suppose -3 = -h + 1. Factor 16/7*f**q + 6/7*f - 2/7*f**5 + 0*f**h + 0 + 12/7*f**3.
-2*f*(f - 3)*(f + 1)**3/7
Solve -345122*v**2 + 1402*v - 2039*v - 2729*v + 345123*v**2 + 3365 = 0.
1, 3365
Let v(f) be the second derivative of f**6/105 - 43*f**5/35 - 355*f**4/42 - 64*f**3/3 - 180*f**2/7 + 2603*f. Determine b, given that v(b) = 0.
-2, -1, 90
Let r be (-2266)/(-9) + 3 + 4/18. Let s = r + -253. Solve -40/13 - 210/13*f**s + 192/13*f - 50/13*f**3 = 0 for f.
-5, 2/5
Let a be (-1173)/(-255) - (-1794)/(-715) - (-5 - -2). Factor -20/11*u**2 + a*u + 2/11*u**3 - 48/11.
2*(u - 6)*(u - 2)**2/11
Suppose 2*f - 451*r + 448*r + 15 = 0, 1 = -2*f + r. Let -5*x**2 + 1/3*x**f - 6*x + 32/3 = 0. What is x?