c**3 + 2543*c**2/11 + 1696*c/11 + 7288. Let j(n) = 0. Calculate n.
-1, 848
Let h be (-3)/(-4)*(-600)/(-1350). Let x(a) be the second derivative of 1/20*a**6 + 0 + 1/8*a**5 - 35*a - h*a**3 + 0*a**2 - 1/6*a**4. Let x(t) = 0. What is t?
-2, -2/3, 0, 1
Let t(y) be the third derivative of 4/3*y**3 - 50*y**2 + 1/90*y**5 + 0*y + 0 - 13/36*y**4. Factor t(c).
2*(c - 12)*(c - 1)/3
Let f = 510893 - 510891. Factor 1/4*a + 1/4*a**f - 3.
(a - 3)*(a + 4)/4
Find m such that -5*m**4 - 830*m**2 - 9201 + 239*m + 5*m**5 + 420*m**3 + 8991 + 456*m - 75*m**4 = 0.
1, 6, 7
Let g(b) be the second derivative of 2*b**6/15 + 5*b**5 - 248*b**4/3 + 352*b**3 - 1181*b + 1. What is o in g(o) = 0?
-33, 0, 4
Factor 938*v + 2750*v + 568262 + 465943 + 4*v**2 - 184121.
4*(v + 461)**2
Let o(c) be the second derivative of -c**5/15 + 7*c**4/3 - 26*c**3/3 - 45*c**2/2 - c - 85. Let j(d) be the first derivative of o(d). Solve j(n) = 0 for n.
1, 13
Let g(z) be the third derivative of 1/45*z**6 - 1/504*z**8 - 2/9*z**3 + 1/45*z**5 + 3*z**2 - 1/12*z**4 + 0 + 0*z**7 - 2*z. Suppose g(k) = 0. What is k?
-1, 1, 2
Solve 0 + 174/13*s - 2/13*s**2 = 0 for s.
0, 87
Suppose 28*b + 358 = 32*b - 2*a, -5*b = 3*a - 453. Let v be 5/75 + 39/b. Factor v*p**2 + 0 + 1/8*p**3 + 1/2*p.
p*(p + 2)**2/8
Let s(d) be the first derivative of d**3/3 - 3326*d**2 + 11062276*d + 3995. Factor s(y).
(y - 3326)**2
Suppose -214*i - 265*i + 196 = -430*i. Factor 5/2*y**i - 21*y**3 + 58*y**2 + 16 - 60*y.
(y - 4)*(y - 2)**2*(5*y - 2)/2
Let s(b) be the first derivative of 3*b**4/4 + 23*b**3 + 213*b**2/2 - 285*b + 1099. What is j in s(j) = 0?
-19, -5, 1
Let r be 6 + 7 + -2 + (4 - -95)/(-11). Factor 5 + 3/2*o - 1/2*o**r.
-(o - 5)*(o + 2)/2
Determine v, given that -9/8*v**2 + 21/8*v - 1/4 - 5/4*v**3 = 0.
-2, 1/10, 1
Let h be -5*5/(-25) - (61 - -1). Let u = h - -105. Factor 8*m + 338 + 0*m - m**2 + u*m + 3*m**2.
2*(m + 13)**2
Let m(v) be the third derivative of -4*v**6/75 - 61*v**5/300 + v**4/20 - 4178*v**2. Suppose m(q) = 0. What is q?
-2, 0, 3/32
Let o(p) = p**2 + 85*p - 11. Let z be o(-7). Let q = -555 - z. Factor 28/3*j + 49/3*j**q + 4/3.
(7*j + 2)**2/3
Let h = 6068029/3236248 + -8/404531. Determine b so that 0 - h*b**4 - 111/8*b**2 - 15/4*b - 12*b**3 = 0.
-5, -1, -2/5, 0
Let k be 42 - 6/(4 + -1). Solve 13 + 16 + 6*f + 15 + 2*f**2 - k = 0.
-2, -1
Let i be (542/(-3))/(-3 - 455/39). Let d = i - 119/11. Factor -d*g**2 - 3/2 + 3*g.
-3*(g - 1)**2/2
Suppose -2*z + j = -2, -5*j = 2*z - z - 23. Suppose -10*r**2 - 33*r**z + 31*r**3 - 32*r**2 = 0. Calculate r.
-21, 0
Find i such that -214*i**3 + 1032*i**4 - 389017*i - 1033*i**4 - 15987*i**2 - 5*i**3 = 0.
-73, 0
Suppose n + 16 + 91 = 0. Let r = n - -117. Factor -28*x**5 + 16*x**5 + r*x**5 + 8*x**3.
-2*x**3*(x - 2)*(x + 2)
Let p(v) be the third derivative of v**8/50400 + 23*v**7/12600 - 5*v**5/2 + 27*v**2 + 3. Let y(b) be the third derivative of p(b). Factor y(f).
2*f*(f + 23)/5
Suppose -3*u**3 - 16/5*u**2 + 2/5 - 4/5*u**4 - 3/5*u = 0. Calculate u.
-2, -1, 1/4
Let f(c) be the first derivative of 1/27*c**6 - 20/9*c**2 - 8/3*c**3 - 17/18*c**4 + 0*c**5 + 0*c - 109. Determine y, given that f(y) = 0.
-2, -1, 0, 5
Let d(t) = 32*t - 14*t - 7*t**2 + 7*t**3 + 18*t**2 - 6*t**3 + 50 + 12*t. Let g be d(-8). Find i, given that 2*i**g + 1/2 - 5/2*i = 0.
1/4, 1
Suppose -f = -3*l - 26, -f + 10 = -5*l - 20. Solve y**5 + f - 16*y**2 + 50*y**4 - 47*y**4 - 4*y**3 - 4 = 0 for y.
-2, 1, 2
Let i(l) be the third derivative of 81*l**6/10 - 963*l**5/40 + 235*l**4/8 - 75*l**3/4 - 6048*l**2. Find u, given that i(u) = 0.
3/8, 5/9
Let v(x) = -11*x + 216. Let t be v(13). Suppose 74*n - 5 - 8*n + 9 + 3*n**2 - t = 0. Calculate n.
-23, 1
Let c(x) be the second derivative of -x**4 + 7172*x**3/3 - 2390*x**2 + 513*x + 1. Factor c(l).
-4*(l - 1195)*(3*l - 1)
Suppose -45*f - 35*f + 66 = -209 + 35. Factor 2/11*g**2 + 2/11*g**f + 0 - 40/11*g.
2*g*(g - 4)*(g + 5)/11
Let c(v) = -2*v**2 + 9*v - 20. Suppose -7*o + 9 - 100 = 0. Let l(y) = y**2 - 5*y + 10. Let z(d) = o*l(d) - 6*c(d). Find w, given that z(w) = 0.
1, 10
Let i = 11244 - 11241. Let x(t) be the second derivative of 0 - 49/2*t**2 + 39*t - 1/12*t**4 - 7/3*t**i. What is z in x(z) = 0?
-7
Solve 66150*x + 4630500 + 315*x**2 + 1/2*x**3 = 0.
-210
Let p(u) be the third derivative of -u**6/32 - 7*u**5/240 + 7*u**4/96 - u**3/24 + 1063*u**2. Find f, given that p(f) = 0.
-1, 1/5, 1/3
Suppose 5163 = -13*v - 11022. Let o = -1243 - v. Determine q so that 24/7*q**3 - 12/7*q**o - 15/7*q**4 + 0 + 3/7*q**5 + 0*q = 0.
0, 1, 2
Let d(k) be the second derivative of 0 - 3*k - 7/11*k**2 + 16/165*k**6 - 53/22*k**4 + 62/33*k**3 + 4/5*k**5. Find t such that d(t) = 0.
-7, 1/4, 1
Let b(w) = -w**3 - 31*w. Let z be b(0). Let p(t) be the first derivative of -1/7*t**2 + 0*t**4 + z*t - 17 + 4/21*t**3 + 1/21*t**6 - 4/35*t**5. Factor p(c).
2*c*(c - 1)**3*(c + 1)/7
Let q(j) = -3*j**3 - 3*j**2 + 5. Let f be q(-3). Factor 32 - 184*u - f*u**2 + 32*u**2 + 327*u**2 + 28*u**4 + 62*u**3 - 238*u**3.
4*(u - 4)*(u - 1)**2*(7*u - 2)
Solve 104*q - 363*q**2 - 350*q**2 + 717*q**2 - 100 - 248 = 0 for q.
-29, 3
Let g(q) be the third derivative of -q**5/135 + 463*q**4/54 - 308*q**3/9 - 4*q**2 - 1135*q. Factor g(z).
-4*(z - 462)*(z - 1)/9
Let y(r) be the first derivative of -9*r**5/10 + 3*r**4/4 + 11*r**3/2 - 3*r**2/2 - 12*r + 1128. Solve y(t) = 0 for t.
-4/3, -1, 1, 2
Find q such that 164*q**2 + 5*q**5 - 552*q**3 - 32*q**4 - 990*q**2 + 302*q - 166*q**2 - 778*q - q**5 = 0.
-7, -1, 0, 17
Let z = 505 - 321. Solve 24 + 2*j**5 + 240*j - 40*j**3 + 129*j**2 - z - 209*j**2 + 30*j**4 - 7*j**5 = 0.
-2, 2
Let p(g) be the second derivative of g**6/210 + g**5/21 + g**4/21 - 16*g**3/21 + 14*g**2 + 7*g + 2. Let u(y) be the first derivative of p(y). Factor u(d).
4*(d - 1)*(d + 2)*(d + 4)/7
Let r(q) be the first derivative of -q**4/4 - 7*q**3/3 + 4*q**2 + 8*q - 10. Let g be r(-8). Factor -4*w**2 - 6 + g*w**2 - 3*w - w**2.
3*(w - 2)*(w + 1)
Let k(s) = 8*s**4 - 28*s**2 - 72*s + 26. Let b(g) = 23*g**4 - 85*g**2 - 204*g + 79. Let p(w) = -6*b(w) + 17*k(w). Find x, given that p(x) = 0.
-4, -1, 1, 4
Let u(x) be the second derivative of -2*x**7/147 - x**6/3 - 101*x**5/70 - 17*x**4/21 + 116*x**3/21 + 8*x**2 - 2628*x - 1. Find d, given that u(d) = 0.
-14, -2, -1/2, 1
Let m(d) = -d**3 + 3*d**2 + 15*d - 30. Let g be m(2). Suppose -12 = 4*v - 6*v. Factor w + 4*w**4 + 2*w**2 + 9*w**5 - 10*w**5 - v*w**g.
-w*(w - 1)*(w + 1)**3
Let i = -13 - -29. Let r be 4/(-32) + 130/i. Factor h**3 + 4*h**2 + 0*h**3 + 4*h**4 - r + 11*h**3 - 4*h - 8*h.
4*(h - 1)*(h + 1)**2*(h + 2)
Let f(x) = -x**2 + 14*x - 15. Suppose 3*b + 2*b = -4*j + 8, -b - 5*j = 11. Let q(y) = -4*y**2 + 42*y - 45. Let g(w) = b*q(w) - 14*f(w). Solve g(l) = 0.
-15, 1
Let w(g) be the first derivative of 0*g - 1/2*g**4 + 0*g**3 + 1/2*g**2 + 144 + 0*g**5 + 1/6*g**6. Factor w(b).
b*(b - 1)**2*(b + 1)**2
Let h be 60795/1295 - 47 - (-152)/74. Solve g**h - 7/2*g + 1/2*g**3 + 2 = 0.
-4, 1
Determine o, given that 715/4*o - 3549/4 + 1/4*o**3 - 47/4*o**2 = 0.
13, 21
Let y(a) be the first derivative of 1/2*a**4 + 0*a**3 + 20 + 0*a - 1/20*a**5 - 23/2*a**2. Let k(c) be the second derivative of y(c). What is o in k(o) = 0?
0, 4
Let f = 74080 - 74062. Factor 18*g + 0 - f*g**2 - 2/3*g**4 + 6*g**3.
-2*g*(g - 3)**3/3
Let l(a) be the third derivative of -a**5/48 + 145*a**4/96 - 35*a**3 - 76*a**2 - 4. What is t in l(t) = 0?
8, 21
Let j(o) be the second derivative of o**5/30 - o**4 + 77*o**3/9 + 2*o + 1121. Factor j(z).
2*z*(z - 11)*(z - 7)/3
Let u = -128766 + 643838/5. Find m such that u - 2/5*m**2 + 2/5*m**3 - 8/5*m = 0.
-2, 1, 2
Factor 5*w**2 - 305*w + 1 - 186 + 440 - 25 + 70.
5*(w - 60)*(w - 1)
Let w(n) be the first derivative of 2*n**5/65 - 15*n**4/13 - 2*n**3/39 + 30*n**2/13 + 628. Solve w(k) = 0 for k.
-1, 0, 1, 30
Suppose 4*s + 32 = 4*m, -s - 16 = -3*m - 2*m. Let a(o) be the first derivative of -14 - 23/4*o**m + 3*o + 1/2*o**4 + 10/3*o**3. Determine l so that a(l) = 0.
-6, 1/2
Let x = -8438 - -8438. Let v(i) be the second derivative of -1/6*i**4 + 0 + x*i**3 + 10*i + 0*i**2 + 1/15*i**6 + 0*i**5. What is b in v(b) = 0?
-1, 0, 1
Suppose 5*d + 2*j - 23 = 0, j - 17 = -3*d + 3*j. Suppose d = -q + 13. Factor 5*l**2 - q*l - 3*l**2 + 2*l - 2*l + 6.
2*(l - 3)*(l - 1)
Factor 1/5*g**2 - 282/5 + 281/5*g.
(g - 1)*(g + 282)/5
Let s(