*i**2 - i + 31*i**3 + 0*i**2 = 0. Calculate i.
-1, 0
Let j(v) = -34*v + 356. Let i be j(10). Let d(h) be the second derivative of -1/18*h**3 + 0 + i*h + 0*h**2 + 1/36*h**4. Suppose d(u) = 0. What is u?
0, 1
Suppose 0 + 6 = 4*o + 2, -5*o + 11 = 2*k. Determine l so that 0*l**2 + 4/5*l**4 - 24/5 - 38/5*l + 18/5*l**k = 0.
-4, -1, 3/2
Let v(l) = 380*l**2 - 322*l + 19. Let n(f) = 194*f**2 - 162*f + 10. Let t(a) = 11*n(a) - 6*v(a). What is u in t(u) = 0?
2/73, 1
Suppose -122*c + 2412*c**2 + 3237*c**2 + 27*c + 239*c**3 + 196*c**3 + 17*c = 0. What is c?
-13, 0, 2/145
Suppose 2257*w**2 + 921 - 2*w**3 - 521*w**2 - 603*w + 4081*w + 819 = 0. Calculate w.
-1, 870
Find j such that 24360*j**3 + 91214*j**2 + 2596091*j + 278146*j**2 + 959*j**4 - 354*j**4 - 591611*j - 109175 + 1768055 + 5*j**5 = 0.
-48, -12, -1
Let k(u) be the first derivative of -1/2*u**2 + 0*u**3 + 1/4*u**4 - 81 - 1/10*u**5 + 1/2*u. Factor k(b).
-(b - 1)**3*(b + 1)/2
Factor -14/5*w**2 + 409/5*w - 87/5.
-(w - 29)*(14*w - 3)/5
Let -52/9 - 82/9*z - 2/9*z**3 - 32/9*z**2 = 0. Calculate z.
-13, -2, -1
Let p(v) be the first derivative of -v**5 - 15*v**4/2 + 235*v**3/3 - 210*v**2 + 220*v - 1870. Suppose p(u) = 0. Calculate u.
-11, 1, 2
Let u(n) = -7*n**2 + 29*n - 64. Let o(h) = 8*h**2 - 28*h + 64. Suppose -14*g + 3*g + 33 = 0. Let c(y) = g*o(y) + 4*u(y). Let c(k) = 0. What is k?
4
Let f = -1579275/7 - -225611. Suppose -f*d**3 - 30*d**2 - 12250 - 1050*d = 0. What is d?
-35
Let i(v) be the third derivative of -v**8/6720 - v**7/420 - v**6/90 - 3*v**4/8 + 6*v**2 + 2. Let f(a) be the second derivative of i(a). Factor f(j).
-j*(j + 2)*(j + 4)
Let o be 1/3*(-1)/(-1)*(-247 - (-476 - -220)). Factor -2/5*k + 1/5*k**2 + 2/5*k**4 + 0 + k**o.
k*(k + 1)*(k + 2)*(2*k - 1)/5
Suppose d = 0, 36*d = -4*j + 37*d + 4 + 8. Let x(b) be the second derivative of 0 - 3*b**2 - 11/3*b**j - 5*b + 2/3*b**4. Suppose x(a) = 0. Calculate a.
-1/4, 3
Solve -20*o**5 - o**3 + 34*o**2 + 0*o**4 - 6*o**4 - 48*o + 5*o**3 + 17*o**3 + 19*o**5 = 0 for o.
-8, -2, 0, 1, 3
Suppose -16 = -5*y - 2*a, a + 3 = 2*y + y. Suppose 2*x - 15 = -y*s + 1, -4*s + 12 = 2*x. Factor 9*b**3 + 33*b**3 - 25*b + 28*b**3 + 0 - 55*b**2 + x.
5*(b - 1)*(2*b + 1)*(7*b - 2)
Let a = -139 - -178. Let l = a + -35. Factor 9*g**2 - g**2 + g**4 + 4*g + 12*g**3 + 7*g**l + 2*g**5 - 2*g.
2*g*(g + 1)**4
What is s in 0 - 4/3*s**4 + 112*s**2 + 8/3*s**3 - 480*s = 0?
-10, 0, 6
Let k(l) = -7*l**2 - 74*l + 1298. Let s(f) = 4*f**2 + f - 1. Suppose -6*b + 2*b - g + 10 = 0, 5*b = -g + 12. Let j(o) = b*s(o) + k(o). Factor j(i).
(i - 36)**2
Let z(i) = 5*i - 167. Let v(u) = 15*u - 501. Let d(s) = -6*v(s) + 17*z(s). Let b be d(33). What is r in -24/7*r + 2/7*r**b + 72/7 = 0?
6
Let d(u) = u**5 - u**4 - 2*u**3 + 2*u**2 - u + 2. Let f(n) = 5*n**5 + 156*n**4 + 3114*n**3 - 1594*n**2 - 3*n + 6. Let h(q) = -3*d(q) + f(q). Solve h(x) = 0.
-40, 0, 1/2
Find l, given that -7/5*l**3 + 16/5*l**2 + 1/5*l**4 - 12/5*l + 0 = 0.
0, 2, 3
Suppose w = -4*w + 20. Let p be (-32)/(-240) - 348/(-90). Factor 0 - 4*k + 0 - 24*k**3 + p*k**w + 28*k**3 - 4*k**2.
4*k*(k - 1)*(k + 1)**2
Let d(m) be the second derivative of m**4/4 - 21*m**3/2 + 120*m**2 + 6*m + 25. Find k such that d(k) = 0.
5, 16
Let l(n) be the third derivative of n**5/140 - 601*n**4/168 - 67*n**3/7 - 33*n**2 + 18. Factor l(q).
(q - 201)*(3*q + 2)/7
Let m be 0/(-1*2 - (18 + -19)). Suppose s - 2*v - 8 = m, -5*s - 5*v - 2 = -v. Factor 14/17*w**s - 4/17*w - 2/17 - 8/17*w**3.
-2*(w - 1)**2*(4*w + 1)/17
Suppose 911 = 2*g + w, 0 = -3*g + 2*g + 3*w + 438. Determine v, given that 225*v**2 - g*v**2 - 3*v**3 + 231*v**2 = 0.
0, 1
Find g such that 2655/2*g**2 + 291708*g - 887112 + 3/2*g**3 = 0.
-444, 3
Factor 57*j + 11*j**2 - 3470 + 13*j**2 - 3490 + 6990 - 3*j**3.
-3*(j - 10)*(j + 1)**2
Let q(c) be the first derivative of -c**8/2520 - c**7/315 - c**6/108 - c**5/90 - 79*c**3/3 + 104. Let d(l) be the third derivative of q(l). Factor d(b).
-2*b*(b + 1)**2*(b + 2)/3
Let z(s) be the first derivative of -6*s + 170 - 53/6*s**2 + 13/12*s**4 + s**5 - 37/9*s**3. Suppose z(a) = 0. Calculate a.
-1, -2/3, 9/5
What is h in -46*h**2 + 0 + 32/3*h**3 + 60*h - 2/3*h**4 = 0?
0, 3, 10
Let y(p) be the second derivative of p**4/12 + 421*p**3/3 + 177241*p**2/2 - 14*p + 95. Find b such that y(b) = 0.
-421
Factor -1305762 + 2738*k + 106920 - 675319 - k**2.
-(k - 1369)**2
Factor 128127*v**2 + 2334784 - 128126*v**2 + 1064*v - 4120*v.
(v - 1528)**2
Let v(p) = -8*p**2 - 339*p + 7053. Let d = 214 - 234. Let n(r) = -52*r**2 - 2372*r + 49372. Let i(w) = d*v(w) + 3*n(w). Find z, given that i(z) = 0.
42
Let t be (-156)/(-364)*(-14)/(-798)*19. Factor 1/7*n + 13/7 - 13/7*n**2 - t*n**3.
-(n - 1)*(n + 1)*(n + 13)/7
Factor 345600*s**3 + 629856*s - 1062882/5 - 64000*s**4 - 699840*s**2.
-2*(20*s - 27)**4/5
Let g(f) be the first derivative of -f**4/24 - 5*f**3/3 + 181*f + 114. Let b(z) be the first derivative of g(z). Factor b(d).
-d*(d + 20)/2
Let z(w) be the third derivative of -w**6/24 + 97*w**5/4 - 35525*w**4/8 + 105125*w**3/6 - 59*w**2 + 7. Find n such that z(n) = 0.
1, 145
Solve 3388/5 + 1/5*p**2 - 3389/5*p = 0 for p.
1, 3388
Let p(t) be the second derivative of 2 - 38/3*t**3 + 0*t**2 - 6*t**4 + 1/5*t**5 + 113*t. Factor p(l).
4*l*(l - 19)*(l + 1)
Let c(b) be the second derivative of -b**7/21 + 16*b**6/15 - 21*b**5/5 + 20*b**4/3 - 13*b**3/3 + 4483*b. Determine n, given that c(n) = 0.
0, 1, 13
Suppose -2 = o - 2*u, 0 = 5*o + 3*u + 92 - 108. Solve -33 + 67*c**2 + 82*c**o - 14*c - 150*c**2 = 0 for c.
-11, -3
Suppose -30*z + 76 = 6*z + 2*z. Let q(l) be the second derivative of -z*l**3 - 3/8*l**4 - 1/40*l**5 + 16*l - 5*l**2 + 0. Factor q(o).
-(o + 2)**2*(o + 5)/2
Let p(i) = -8*i**3 - 984*i**2 + 10*i + 10. Let q(r) = -33*r**3 - 3936*r**2 + 42*r + 42. Let u(c) = 21*p(c) - 5*q(c). Factor u(n).
-3*n**2*(n + 328)
Let r(o) be the first derivative of 263 + 21*o**5 + 95*o**4 + 15*o**2 + 205/3*o**3 + 0*o. Find a, given that r(a) = 0.
-3, -1/3, -2/7, 0
Let b(g) be the second derivative of -21/10*g**3 - 3/100*g**5 + 0 + 2/5*g**4 + 27/5*g**2 - 45*g. Factor b(a).
-3*(a - 3)**2*(a - 2)/5
Let g(m) = -4*m**3 + m**2 + m + 1. Let v be -4 + 18/(-6) + 13. Let a(j) = 29*j**3 + 9*j**2 - 26*j - 6. Let h(r) = v*g(r) + a(r). Factor h(i).
5*i*(i - 1)*(i + 4)
Let f be ((-14)/(-105))/((-232)/(-435)). Let i(x) = x**2 - x. Let b be i(2). Factor -f*j**b - 3/4 + j.
-(j - 3)*(j - 1)/4
Let z(g) = 28*g**2 + 130*g - 4374. Let w(x) = -172*x**2 - 781*x + 26245. Let j(y) = -6*w(y) - 37*z(y). Find s, given that j(s) = 0.
-52, 21
Let g(h) be the second derivative of 3*h + 13/4*h**5 - 1/6*h**6 - 12 + 0*h**3 + 0*h**2 + 0*h**4. Find l such that g(l) = 0.
0, 13
Factor -3/2*o**3 + 1299/2*o**2 + 69984 - 70632*o.
-3*(o - 216)**2*(o - 1)/2
Let p(l) = 7*l**2 + 26*l - 5. Let h be p(-4). Solve 12*s**h + 29*s**4 - 4*s**2 - 61*s**4 + 36*s**4 - 12*s = 0.
-3, -1, 0, 1
Suppose -27*p = -20*p - 6*p. Let s(w) be the third derivative of 1/42*w**7 + 35/24*w**4 - 1/8*w**6 + 5*w**3 - 16*w**2 - 1/4*w**5 + p + 0*w. Factor s(n).
5*(n - 3)*(n - 2)*(n + 1)**2
Suppose -1288 = 17*l - 25*l. Let u = l - 321/2. What is f in f + 0 - 1/2*f**2 - u*f**3 = 0?
-2, 0, 1
Let z = -14/253 - -688/3289. Let p(v) be the first derivative of 1/26*v**4 + 4 - 8/13*v + 0*v**2 + z*v**3. Find o such that p(o) = 0.
-2, 1
What is y in -101*y**3 + 55983*y + 26685*y + 104*y**3 - 996*y**2 = 0?
0, 166
Let s(k) be the third derivative of -k**5/120 + 95*k**4/16 + 287*k**3/6 - 3763*k**2. Solve s(q) = 0.
-2, 287
Find b, given that 182/9*b**2 + 94/9*b + 20/9*b**3 - 68/9 = 0.
-17/2, -1, 2/5
Let m(x) = 8*x + 92. Let p be m(-7). Solve 16*y**2 + 2*y**3 + p + 15*y**2 + 58*y - 20*y**2 + 13*y**2 = 0 for y.
-9, -2, -1
Let -778/3*w**2 - 28/3*w**4 + 1120/3*w + 1/3*w**5 - 544/3 + 229/3*w**3 = 0. Calculate w.
1, 2, 4, 17
Let d(k) be the first derivative of -1/18*k**4 + 5/27*k**3 - 1/9*k**2 + 89 + 0*k. Determine t, given that d(t) = 0.
0, 1/2, 2
Suppose -4*w - 5*x + 3 = -2*w, -3*x = -w + 7. Suppose -60 - 28*n**3 - 59 + 72*n**2 + w*n**4 + 61*n**3 - 65*n**3 + 11 = 0. Calculate n.
-1, 3
Let r(v) be the second derivative of -19/72*v**4 + 1/504*v**7 + 5/48*v**5 + 86*v + 0 - 1/3*v**2 - 1/45*v**6 + 7/18*v**3. Factor r(y).
(y - 2)**3*(y - 1)**2/12
Let p(c) be the third derivative of -1/45*c**5 + 0 + 2/315*c**7 + 0*c**3 + 0*c**6 - 