z - 3 + 175 = -5*z. Let j(b) be the first derivative of -z + 0*b**2 + 1/5*b**3 + 0*b + 1/10*b**6 + 9/25*b**5 + 9/20*b**4. Let j(k) = 0. What is k?
-1, 0
Let m(h) = 3*h**2 + 19*h + 53. Let t(s) = -15*s**2 - 73*s - 122 - 142 - 23*s. Suppose 0 = -8*f + 97 + 95. Let l(x) = f*m(x) + 5*t(x). Find o such that l(o) = 0.
-4
Let r be 5 + (-21 - -6) + 0 + 10. Let q = 997/3 + -327. Factor -16*f**3 + q*f**2 + r - 28/3*f**4 + 0*f.
-4*f**2*(f + 2)*(7*f - 2)/3
Let g be ((-3)/(-26))/(33/(-2288)*-48). Solve -25/6 + 13/3*s - g*s**2 = 0.
1, 25
Let i(a) = -26*a**2 - 64*a. Let d(q) = -3*q**2 + q. Suppose 22*x = 15*x + 7. Let k(f) = x*i(f) - 8*d(f). Factor k(w).
-2*w*(w + 36)
Let d be (3 - (-6)/9) + (-12)/18. Factor -21*s + s**2 + 8 + 13 + 0 - 4 + d.
(s - 20)*(s - 1)
Let v = -182649 + 3835633/21. Factor -4/3*c**2 - 2/21*c**5 + 8/7*c**3 + 10/21*c - v*c**4 + 0.
-2*c*(c - 1)**3*(c + 5)/21
Factor 0*c + 18*c**4 - 1058/5*c**2 + 0 + 2/5*c**5 + 966/5*c**3.
2*c**2*(c - 1)*(c + 23)**2/5
Let f(s) be the first derivative of 0*s + 3/16*s**4 + 1/2*s**3 - 2 + 3/8*s**2. Factor f(b).
3*b*(b + 1)**2/4
Let t(p) = 2*p**2 + 26*p + 86. Let f be t(-6). Factor -v**3 + 8 - v + 543*v**2 - 537*v**f - 11*v.
-(v - 2)**3
Let g(v) be the third derivative of 4*v**7/45 + 337*v**6/36 - 3259*v**5/210 + 670*v**4/63 - 244*v**3/63 - 2*v**2 + 4451. Determine q, given that g(q) = 0.
-61, 1/4, 2/7
Suppose 4*c - 121 = -117, 0 = 4*l - 2*c + 66. Let y be (19/(532/l))/((-10)/7). Factor -y*m**2 + 2/5*m**4 + 0 + 0*m - 2/5*m**3 + 2/5*m**5.
2*m**2*(m - 1)*(m + 1)**2/5
Let n = -29335 + 29339. Determine x, given that 0*x - 2/11*x**n + 0 + 6/11*x**2 - 4/11*x**3 = 0.
-3, 0, 1
Let k(i) = -49*i**4 + 27*i**3 - 104*i**2 + 132*i - 8. Let m(p) = -55*p**4 + 26*p**3 - 101*p**2 + 133*p - 9. Let n(d) = 9*k(d) - 8*m(d). Solve n(w) = 0 for w.
0, 2, 31
Let s(q) = -5*q**3 - 38*q**2 + 4*q + 41. Let n(k) = 2*k**2 - k + 1. Let l be -4 + ((-4)/(-6))/((-76)/(-342)). Let b(i) = l*s(i) + n(i). Factor b(f).
5*(f - 1)*(f + 1)*(f + 8)
Let q(y) be the first derivative of -8/3*y**3 + 0*y - 2 + 17/2*y**2 + 1/20*y**5 - 1/240*y**6 + 0*y**4. Let h(s) be the second derivative of q(s). Factor h(m).
-(m - 4)**2*(m + 2)/2
Let h(x) be the third derivative of -x**5/20 - 297*x**4/4 - 88209*x**3/2 + 3*x**2 - 130*x. Factor h(t).
-3*(t + 297)**2
Let a(l) be the first derivative of 25*l**4 - 2264*l**3 - 3722*l**2 - 552*l - 5374. Let a(m) = 0. Calculate m.
-1, -2/25, 69
Let p(l) be the second derivative of l**7/21 - 14*l**6/15 + 7*l**5 - 76*l**4/3 + 145*l**3/3 - 50*l**2 + 9982*l. Let p(g) = 0. Calculate g.
1, 2, 5
What is a in -320/3 + 638/3*a + 4/3*a**2 = 0?
-160, 1/2
Let p(z) be the third derivative of -z**10/226800 - z**9/18144 + z**5/30 - 5*z**4/24 - 38*z**2. Let f(w) be the third derivative of p(w). Factor f(l).
-2*l**3*(l + 5)/3
Let y = 10 + -11. Let w be y - (5 + -3 - 131)/1. Suppose -168*k**4 + w - 11*k**2 + 6*k**5 - 364*k**3 + 384*k + 51*k**2 - 17*k**5 - 9*k**5 = 0. What is k?
-4, -1, -2/5, 1
Solve -170/3*j**2 + 0 + 44*j + 2/3*j**4 + 12*j**3 = 0 for j.
-22, 0, 1, 3
Let j(i) be the first derivative of -i**4/4 + 197*i**3/3 + 801*i**2/2 + 603*i - 574. Factor j(x).
-(x - 201)*(x + 1)*(x + 3)
Let h(n) be the third derivative of -43*n**2 + 0*n**3 + 0 + 0*n + 0*n**4 + 0*n**5 + 2/315*n**7 - 1/90*n**6 - 1/1008*n**8. Factor h(v).
-v**3*(v - 2)**2/3
Let n(v) = 5*v - 10. Suppose 6 - 14 = -2*m. Let s be n(m). Factor s - 25 + 4*y**2 - 1.
4*(y - 2)*(y + 2)
Factor 8/5*t + 64 - 4/5*t**2.
-4*(t - 10)*(t + 8)/5
Let p(o) = -o**3 - 5*o**2 - 6*o - 2. Let g be p(-4). Suppose -g*b + b - 5 = -3*c, -10 = -2*c. What is a in 5*a + 5*a**2 + a**2 - 15*a**3 + 4*a**b + 0*a**2 = 0?
-1/3, 0, 1
Let r(m) be the third derivative of m**7/140 - 51*m**6/20 + 1248*m**5/5 + 2704*m**4 - 333*m**2. Suppose r(q) = 0. Calculate q.
-4, 0, 104
Let o(b) = 3*b. Let a(n) = -n**3 + 47*n**2 + 15*n. Let i(c) = -4*a(c) - 44*o(c). Let i(r) = 0. What is r?
-1, 0, 48
Let h(c) be the first derivative of c**4/8 + 5*c**3/3 + 21*c**2/4 - 744. Solve h(l) = 0.
-7, -3, 0
Let z be -4 - ((-85)/51 + 26/(-6)). Solve -121*m**5 - 21*m**3 - 60*m + 81*m**z - 116*m**5 - 21*m**4 + 246*m**5 + 12 = 0 for m.
-2, 1/3, 1, 2
Suppose 255 + 61*l + 4*l**2 - 226 - 173*l + 355 = 0. Calculate l.
4, 24
Let r(d) be the third derivative of 27/8*d**4 + 0*d**3 + 0*d - 1/28*d**8 + 81/20*d**5 + 1/2*d**7 - 99/40*d**6 + 25*d**2 + 2. Solve r(b) = 0.
-1/4, 0, 3
Let h = -276074 - -276102. What is o in 392 - h*o + 1/2*o**2 = 0?
28
Let k be ((-102)/(-8))/(171/(-2280)). Let r be 2/(-10)*(k/(-8))/(-17). Factor -5/4*d - r*d**2 - 3/2.
-(d + 2)*(d + 3)/4
Let b(a) = -a**3 - 4*a**2 + 19*a + 72. Suppose 6 = 2*c + 4*q, -3*q - q + 21 = -c. Let k be b(c). Factor -3/4*x**k + 0 + 3/2*x.
-3*x*(x - 2)/4
Suppose 101 = 34*n - 35. Suppose -12*b**n + 10*b**4 + 25*b**2 - 23*b**2 = 0. Calculate b.
-1, 0, 1
Let 53*f**3 - 117/2*f**2 - 32*f + 40 - 5/2*f**4 = 0. Calculate f.
-4/5, 1, 20
Let f(u) be the second derivative of -u**5/120 + 353*u**4/36 + 709*u**3/9 + 710*u**2/3 + 1153*u + 1. Find d such that f(d) = 0.
-2, 710
Let u(r) be the first derivative of -r**6/42 - r**5/5 + 9*r**4/14 - 2*r**3/21 - 17*r**2/14 + 9*r/7 + 1938. Find f such that u(f) = 0.
-9, -1, 1
Suppose -157 = -54*d - 58*d - 60*d + 187. Factor -1156*w**d - 1/4 - 34*w.
-(68*w + 1)**2/4
Factor -28/3*o + 64/3 - 2/3*o**2.
-2*(o - 2)*(o + 16)/3
Let z(o) be the second derivative of o**5/170 + 21*o**4/34 - 88*o**3/17 + 268*o**2/17 - 2151*o. Factor z(b).
2*(b - 2)**2*(b + 67)/17
Let 998/11*a**2 + 108/11*a**3 - 40 - 18/11*a**4 - 48/11*a = 0. Calculate a.
-5, -2/3, 2/3, 11
Suppose -13*g - 142 + 415 = 0. Factor -g*n**2 + n**3 + 10*n + 4*n**3 - 19*n**2 - 5*n + 210.
5*(n - 7)*(n - 3)*(n + 2)
Solve 138624 + 2/3*y**4 + 15272/3*y**2 + 328/3*y**3 + 49856*y = 0 for y.
-76, -6
Let l(c) = -3*c**4 - 142*c**3 - 724*c**2 - 1421*c - 929. Let r(i) = i**4 + 47*i**3 + 242*i**2 + 474*i + 310. Let m(u) = -6*l(u) - 21*r(u). Solve m(t) = 0 for t.
-39, -2
Let w(d) = -d**4 - 18*d**3 - 72*d**2 - 9*d + 9. Let y(t) = 2*t**4 + 54*t**3 + 216*t**2 + 24*t - 24. Let o(m) = -8*w(m) - 3*y(m). Factor o(u).
2*u**2*(u - 12)*(u + 3)
Let n(j) be the second derivative of 0 + 34/3*j**3 + 1/3*j**6 + 71*j - 8*j**2 + 4/5*j**5 - 13/2*j**4. Factor n(r).
2*(r - 1)**2*(r + 4)*(5*r - 2)
Let x be (40/140)/(110/924). Solve 0 + 14/5*h**3 - 38/5*h**2 - x*h = 0.
-2/7, 0, 3
Factor 28970 - k**4 - 5*k**3 - 28970.
-k**3*(k + 5)
Let b(s) be the second derivative of -s**6/120 + s**5/40 - 7*s**3/3 - 3*s**2/2 - 12*s. Let i(z) be the second derivative of b(z). Factor i(y).
-3*y*(y - 1)
Let o(h) be the first derivative of h**6/120 - 13*h**5/40 + 3*h**4/2 + 19*h**3 + 29. Let s(i) be the third derivative of o(i). Factor s(w).
3*(w - 12)*(w - 1)
What is o in 484*o - 138*o - 149*o - 165*o + 356 - 117*o - o**2 = 0?
-89, 4
Let y(t) be the first derivative of -t**4/16 - t**3 - 9*t**2/2 - 128*t + 185. Let g(w) be the first derivative of y(w). Solve g(k) = 0 for k.
-6, -2
Let o(k) be the third derivative of -2*k**7/105 - 5*k**6/6 - 47*k**5/15 - 23*k**4/6 + 1558*k**2. What is b in o(b) = 0?
-23, -1, 0
Let m(u) = -4*u**3 + 16*u**2 - 19*u + 199. Let s be m(5). Factor 3/4*r**s - 3/4*r**2 + 0*r**3 + 0 + 0*r.
3*r**2*(r - 1)*(r + 1)/4
Factor 1/7*s**3 - 609*s - 6408/7 - 706/7*s**2.
(s - 712)*(s + 3)**2/7
Let i = -329479 + 329482. Suppose -6/5*h**i + 0*h - 8/5*h**2 + 2/5*h**4 + 0 = 0. What is h?
-1, 0, 4
Let n be (-282)/329 + 195/91. Factor -n*c + 6/7*c**4 - 1/7*c**5 + 16/7*c**2 - 2*c**3 + 2/7.
-(c - 2)*(c - 1)**4/7
Suppose 13*i - 3*c = 9*i + 5, 4*c - 10 = 2*i. Let y(l) be the second derivative of 0 - 5/6*l**4 + 0*l**3 + 6*l - 1/6*l**6 + 3/4*l**i + 0*l**2. Factor y(q).
-5*q**2*(q - 2)*(q - 1)
Let k(l) be the third derivative of -2*l**6/15 + 2594*l**5/15 - 1682209*l**4/24 - 9542*l**2. Factor k(r).
-r*(4*r - 1297)**2
Let h(v) be the first derivative of 0*v + 0*v**2 + v**3 - 170 - 1/16*v**4. Determine g so that h(g) = 0.
0, 12
Let f be (14/(-133))/((-43)/688). Factor f*r + 34/19 - 2/19*r**2.
-2*(r - 17)*(r + 1)/19
Let n = -5490/13 + 132293/312. Let h(y) be the first derivative of -7/10*y**5 + 5 - 4/3*y**3 - n*y**4 + 0*y - 1/3*y**2. Solve h(z) = 0.
-1, -2/3, -2/7, 0
Let q(z) be the first derivative of -z**3/15 - 18*z**2 + 181*z/5 + 1254. Factor q(v).
-(v - 1)*(v + 181)/5
Find q such that -8*q**4 +