*b**3 + 66*b**2 - 34. Let a(w) = w**4 + w**3 + w**2 + w + 1. Let s(u) = n*a(u) + 2*q(u). Solve s(h) = 0.
-6, -1, 1/4
Let j(b) = 7*b**3 - 2*b**2 + 39*b - 27*b + 3*b**2 - 16*b - 5*b**4. Let q(f) = -f**4 + f**3 + f**2. Let u(n) = -2*j(n) + 14*q(n). Let u(x) = 0. Calculate x.
-1, 0, 2
Factor 100 - 2/3*s**2 - 146/3*s.
-2*(s - 2)*(s + 75)/3
Suppose 35662 = 61*c - 39*c. Let t = c + -1618. Solve -324 + 162*z - 27*z**2 + 3/2*z**t = 0 for z.
6
Let t(h) = -9*h**2 + 42*h - 361. Let j(y) = 7*y**2 - 41*y + 361. Let f(i) = 4*j(i) + 3*t(i). Determine a so that f(a) = 0.
19
Let h(b) be the first derivative of b**4/28 - b**3/14 - 9*b**2/7 - 26*b - 32. Let f(x) be the first derivative of h(x). What is s in f(s) = 0?
-2, 3
Let a(w) be the second derivative of 3*w**5/40 + w**4/8 - w**3 - 3*w**2 + 2*w + 600. Factor a(g).
3*(g - 2)*(g + 1)*(g + 2)/2
Suppose 0 = -24176*v + 48677*v - 24374*v. Factor 4/3*i + v - 106/9*i**2 + 34/9*i**3.
2*i*(i - 3)*(17*i - 2)/9
Suppose 550 + 75 = 5*l. Factor -13*j - 5*j**2 - 1368 + 133*j + 3*j**2 - 307 - l.
-2*(j - 30)**2
Let r = 6681434825/18172 - 2573737/7. Let z = r + 2/649. Determine v, given that -1/4*v**2 + 1 - z*v = 0.
-4, 1
Let k(i) = 17*i**3 + 1495*i**2 + 50335*i - 18490. Let z(o) = -2*o**3 - o**2 - 5*o - 2. Let h(g) = -k(g) - 3*z(g). Factor h(q).
-(q + 68)**2*(11*q - 4)
Let n(h) = h**2 + 26*h + 123. Let i be n(-6). Let k be (-30)/(-12)*(i/(-9) - -5). Determine p so that 10/3 + k*p**2 - 15*p = 0.
2/7, 1
Let u = 3850219/11 + -350019. Suppose 36/11*n**2 + 0 - u*n**3 + 16/11*n = 0. What is n?
-2/5, 0, 4
Let j(x) be the second derivative of 1/42*x**4 - x + 81/7*x**2 + 6/7*x**3 + 2. Determine n so that j(n) = 0.
-9
Let h(f) be the third derivative of -f**6/200 - f**5/10 + 13*f**4/10 - 28*f**3/5 + 11*f**2 - 34*f. Factor h(y).
-3*(y - 2)**2*(y + 14)/5
Let q(o) = 3*o**3 + 5*o**2 - 9*o + 9. Let z = -198 + 196. Let c(k) = -13*k**3 - 20*k**2 + 34*k - 37. Let l(w) = z*c(w) - 9*q(w). Suppose l(h) = 0. What is h?
-7, 1
Let t = 127222 + -127219. Suppose 615/2*i**t - 10/3 - 54*i**4 - 1177/6*i**2 + 44*i = 0. What is i?
2/9, 1/4, 5
Suppose -5*l = -3*a - 38, -5*a - 17 - 8 - 5 = 0. Factor 5/3*g**l + 190/3*g**2 - 55/3*g**3 - 260/3*g + 40.
5*(g - 6)*(g - 2)**2*(g - 1)/3
Let s(v) be the first derivative of 0*v**3 + 0*v - 2/7*v**2 + 1/7*v**4 - 18. Solve s(q) = 0.
-1, 0, 1
Let x(z) be the second derivative of 46*z + 0 - 1/20*z**4 - 42/5*z**2 - 29/10*z**3. Suppose x(d) = 0. Calculate d.
-28, -1
Let d(y) be the first derivative of -3*y**4/4 - 99*y**3 - 435*y**2 - 576*y + 580. Solve d(a) = 0 for a.
-96, -2, -1
Let f be 2/8 - 14/(-8). Let a be -2 - -5 - -4 - (-3 - -6). Suppose 0*v**f - 2*v + v**2 + 16*v - 11*v**2 - a = 0. Calculate v.
2/5, 1
Suppose 225 = -5*j - 5*f, 5*j + 2*f - 129 = -363. Let o = 51 + j. Suppose -5*i - 9*i**3 + 19*i**3 + 4*i - 9*i**o = 0. Calculate i.
-1, 0, 1
Determine a, given that -48 - 68528*a**4 - 15282*a**4 - 44940*a**2 - 2536*a - 237333*a**3 - 34617*a**3 - 1940*a**4 = 0.
-3, -2/35
Let j = 292/11 - 1741/66. Let n(o) be the first derivative of 4 + 0*o + 0*o**2 + j*o**3. Determine g so that n(g) = 0.
0
Suppose -k = f + 13, -16413*k + 16409*k = f + 58. Find v such that -4*v**4 + 9/5*v**5 - 6/5 + 23/5*v + 26/5*v**f - 32/5*v**3 = 0.
-1, 2/9, 1, 3
Suppose 125 = 13*z - 57. Find h, given that -4*h**2 - 9*h**3 + z*h**2 - 8*h - 2*h**3 + 8*h**3 + h**3 = 0.
0, 1, 4
Let s(u) be the first derivative of -u**6/1260 + 3*u**5/70 - 27*u**4/28 - 10*u**3/3 - 2*u - 28. Let r(z) be the third derivative of s(z). Factor r(q).
-2*(q - 9)**2/7
Let u(i) = 2*i**2 - 29*i + 29. Let z be u(1). Suppose -6 = -q - z*m - 3, 2*q - 6 = 5*m. Suppose -2*c + 8/3*c**2 - 10/9*c**q + 4/9 = 0. What is c?
2/5, 1
Solve 4104*g**3 + 358*g + 20 - 1707*g**2 + 2820*g**2 - 432*g**4 + 1011*g**2 = 0.
-1/6, 10
Solve 7*a**4 - 225*a**2 + 1819*a - 10*a**3 - 389*a - 800*a - 2*a**4 = 0 for a.
-7, 0, 3, 6
Let r(p) be the second derivative of -p**6/330 + 7*p**5/220 - 5225*p. Find y such that r(y) = 0.
0, 7
Suppose 0 = -9*l + 12*l - 18. Determine h, given that 48*h**3 - 16*h**4 - 68*h**2 + 11*h + 11*h + l*h + 18*h - 12 + 2*h**5 = 0.
1, 2, 3
Let j(s) be the third derivative of s**8/2688 - s**7/112 - 17*s**6/480 - s**5/240 + 11*s**4/64 + 17*s**3/48 - 5099*s**2. Factor j(b).
(b - 17)*(b - 1)*(b + 1)**3/8
Let b(w) be the first derivative of -w**5/30 + 17*w**4/8 - 325*w**3/6 + 8281*w**2/12 - 4394*w - 1225. Determine m so that b(m) = 0.
12, 13
Suppose 0 = -3*o - f + 5, -2*o = o - 4*f - 10. Let r be o + ((-5)/((-15)/9) - 3). Factor -8*l**r - 40 + 11*l**3 + 4*l**3 + 0*l - 62*l**2 + 100*l.
5*(l - 2)**2*(3*l - 2)
Let m be ((-3)/7)/(6/4)*(584 + -396 + -190). Let j be (-2)/(-3) + (-3428)/(-42). Solve m*k**2 + j + 96/7*k = 0.
-12
Let v(n) be the second derivative of n**4/54 - 1897*n**3/27 - 1898*n**2/9 - 8126*n. Let v(x) = 0. Calculate x.
-1, 1898
Let w(z) = -14*z + 16152*z**2 - 16153*z**2 - 20 - 11. Let u be w(-11). Suppose -1 - 3/4*o**3 + 15/4*o - u*o**2 = 0. Calculate o.
-4, 1/3, 1
Suppose 0 = 5*o - 10 - 10. Suppose o*i + j - 9 = 0, -i - 6 + 0 = 3*j. Solve 3*s**2 + 2*s**2 - s**i + 1 + s - 6*s**2 = 0 for s.
-1, 1
Let q = 136 - 130. Let n(s) = s**2 + 115*s - 910. Let h(d) = d**2 + 57*d - 456. Let t(o) = q*n(o) - 10*h(o). Factor t(r).
-4*(r - 15)**2
Let d(i) = 17*i + 3. Let h be d(1). Suppose -w - 3*p - 5 = -0, -3*w - 2*p = -h. Factor w*c**3 + 12*c**2 + 38*c**3 - 4*c**5 + 17*c**5 + 14*c**5 + 63*c**4.
3*c**2*(c + 1)*(3*c + 2)**2
Suppose 20*k + 20*k - 15*k = 100. Let -12/7*v**2 + 0*v + 0 + 3/7*v**5 - 15/7*v**k + 24/7*v**3 = 0. What is v?
0, 1, 2
Let p = 135 + -135. Factor -64*a + 80 + 5*a**2 + 4*a**3 - a**2 + p*a**2.
4*(a - 2)**2*(a + 5)
Let y(o) = -2*o**2 - o - 69. Let g(h) = -33*h**2 + 1242*h - 2505. Let q(b) = g(b) - 18*y(b). Solve q(n) = 0 for n.
-421, 1
Let g be (-3)/(-9)*5/(-10)*-30. Find k, given that g*k**5 - 890*k**3 - 587*k - 61*k - 2112*k + 105*k**4 + 1120 + 2420*k**2 = 0.
-28, 1, 2
Let y(k) be the third derivative of 73*k**5/240 - 79*k**4/48 + k**3 + 11588*k**2. Let y(j) = 0. What is j?
12/73, 2
Let k be ((-42531)/9108)/(-3*(-7)/(-42)). Let z = -3/506 + k. Determine x so that -z*x + 23/3*x**3 + 8/3 - 7/3*x**4 - 2*x**2 = 0.
-1, 2/7, 2
Let m(h) be the second derivative of 0 - 5/2*h**2 - 1/4*h**5 - 5/2*h**3 - 62*h - 5/4*h**4. Factor m(q).
-5*(q + 1)**3
Suppose -5*m + 3*v + 40 = 0, -10 = 3*m + 4*v - 5. Solve -17*h**5 - 9*h**2 - h**3 + 21*h**m - 3*h**3 + 26*h**4 - 7*h**2 - 10*h**4 = 0 for h.
-4, -1, 0, 1
Let p(u) be the second derivative of -3*u**5/20 - 5*u**4/12 + 19*u**3/6 + 21*u**2/2 - 376*u - 2. Factor p(x).
-(x + 1)*(x + 3)*(3*x - 7)
Suppose 66 = -5*i - 3*g + 12, -2*i - 90 = 5*g. Let -2/13*b**4 - 4/13*b + 2/13*b**5 + i + 10/13*b**2 - 6/13*b**3 = 0. Calculate b.
-2, 0, 1
Let g be 59/(-295) - (-52)/10. Suppose 0 = g*p + 1403 - 1413. Suppose 1/2 - 1/3*w - 5/6*w**p = 0. Calculate w.
-1, 3/5
Let h(r) = -5*r**2 + 141*r + 1028. Let y be h(-6). What is j in 10*j**5 + 0 + 10/3*j**y - 25/3*j**4 + 0*j - 5*j**3 = 0?
-2/3, 0, 1/2, 1
Find l such that -2*l**2 - 7*l**2 - 633*l - 93 + 517*l + 398*l = 0.
1/3, 31
Let i = -469463/42 + 67073/6. Suppose -10/7*k**4 + 16/7*k - 2*k**3 + 2/7*k**2 - 2/7*k**5 + i = 0. Calculate k.
-2, -1, 1
Suppose 3*z + 6 = 0, 2*z = d - 1692 - 7384. Solve -d*x**2 - 153*x**4 - 36724 + 1528 - 3*x**5 + 56090*x - 2436*x**3 + 204 - 9434*x = 0 for x.
-18, 1, 2
Let t = 489 + -278. Suppose -209*z = -t*z + 4. Factor -2/3*k**3 - 8 - 32/3*k - 14/3*k**z.
-2*(k + 2)**2*(k + 3)/3
Let a(j) be the first derivative of 3*j**4/16 - 30*j**3 + 1053*j**2/8 + 3486. Factor a(g).
3*g*(g - 117)*(g - 3)/4
Let y(o) be the first derivative of 5*o**6/6 - 13*o**5 + 145*o**4/2 - 180*o**3 + 180*o**2 + 10034. Let y(m) = 0. What is m?
0, 2, 3, 6
Let q be ((-850)/30 - -29)*4. Factor -q + 4*o**3 + 8*o - 26/3*o**2 - 2/3*o**4.
-2*(o - 2)**2*(o - 1)**2/3
Let d(s) = 63*s**2 - 11*s - 30. Let o(v) = 7*v - v + 30 - 63*v**2 + 7*v. Let f(h) = -5*d(h) - 4*o(h). Let f(r) = 0. Calculate r.
-2/3, 5/7
Let o(d) = 89*d**2 - 100*d + 325. Let u(p) = -76*p**2 + 100*p - 324. Let r(s) = 6*o(s) + 7*u(s). Let r(y) = 0. Calculate y.
-53, 3
Suppose -12 = -4*v - 8, -3*v - 9 = -3*c. Determine z, given that -10990*z + 66 + 10942*z + 14 + c*z**2 = 0.
2, 10
What is k in 3/4*k**3 + 30 - 51/2*k - 21/4*k**2 = 0?
-4, 1, 10
Let b(g) = -23*g + 163. Let c be