, t*b - 8 = -j. Factor -2/5*u**4 + j*u**3 + 0*u - 2/5 + 4/5*u**2.
-2*(u - 1)**2*(u + 1)**2/5
Let v(h) be the first derivative of 0*h**2 - 2/3*h**6 - 17 + 16/5*h**5 + 0*h + 56/3*h**3 + 19*h**4. Suppose v(k) = 0. Calculate k.
-2, -1, 0, 7
Let r(m) = 21*m - 46*m + 52*m**2 - 562*m**2 - 345*m**3 - 70*m. Let v(u) = -57*u**3 - 85*u**2 - 16*u. Let d(a) = -6*r(a) + 35*v(a). Factor d(b).
5*b*(b + 1)*(15*b + 2)
Find x, given that 82 + 2 + 16*x**5 - 56*x**3 - 623*x**2 + 667*x**2 - 292*x**3 - 64*x**4 + 268*x = 0.
-3, -1/2, 1, 7
Suppose -70*m**3 - 412*m**2 + 1047*m**2 - 521*m**2 + 11 - 5*m**4 + 70*m - 354*m**2 + 234 = 0. Calculate m.
-7, -1, 1
Let a(j) be the third derivative of -j**5/150 + j**4/3 + 44*j**3/15 + 743*j**2. Find s such that a(s) = 0.
-2, 22
Let m(d) be the first derivative of -11/5*d**3 - 3/20*d**4 + 0*d + 0*d**2 + 78. Suppose m(y) = 0. Calculate y.
-11, 0
Factor 1/2*r**4 - 75/2*r**2 - 37*r**3 + 0 + 0*r.
r**2*(r - 75)*(r + 1)/2
Let j(v) = 6*v**2 + 8*v + 2. Let z(p) = -2*p**2 + p - 3. Let d(s) = j(s) + 4*z(s). Solve d(a) = 0.
1, 5
Let p(q) be the second derivative of q**6/360 - 7*q**5/60 + 49*q**4/24 - 55*q**3/6 + 136*q. Let a(t) be the second derivative of p(t). Solve a(i) = 0.
7
Let v be (-7998)/258 + (-867)/(-21). Suppose 0 + 30/7*i**2 - v*i = 0. What is i?
0, 12/5
Suppose -p - 5*z + 30 = 0, -5*p - 2*z + 0*z = -127. Suppose u = 3*g - 4, -24*g + p*g = u. What is y in -4*y - 3*y**3 - 13/2*y**g - 1/2 = 0?
-1, -1/6
Suppose 5*q - y = 15, -16*q + 4*y = -12*q + 4. What is h in -q*h - 4*h - 34*h - 15*h**2 + 36*h**2 - 19*h**2 = 0?
0, 21
Suppose 7 = n + 3. Let o be ((-118)/(-3))/(152/12) + (-292)/2774. Determine t, given that -6*t**4 - t**n + o*t**4 - t**4 + 5*t**2 = 0.
-1, 0, 1
Suppose 0 = -23*f - 762 + 877. Let l(b) be the second derivative of 0*b**3 + 1/35*b**f + 8*b + 0*b**2 + 0 + 1/21*b**4. Let l(g) = 0. Calculate g.
-1, 0
Let g(s) be the third derivative of -s**7/315 - 2*s**6/45 + 56*s**5/45 - 64*s**4/9 - 111*s**2 + 5. Factor g(q).
-2*q*(q - 4)**2*(q + 16)/3
Let f(m) be the first derivative of 1/9*m**3 - m**2 + 1/12*m**4 - 15 + 1/45*m**5 + 0*m. Let q(r) be the second derivative of f(r). Let q(w) = 0. Calculate w.
-1, -1/2
Let n(g) = 3*g + 3. Let r be n(7). Factor -36*c + 11*c**3 - 27*c**3 - r*c**2 + 13*c**3.
-3*c*(c + 2)*(c + 6)
Let a = 115249 - 115233. What is x in -a*x**2 - 40/3*x - 4 - 8*x**3 - 4/3*x**4 = 0?
-3, -1
Let j(g) be the second derivative of g**5/30 - 2*g**4/9 - 19*g**3/9 - 14*g**2/3 - 2248*g. Factor j(p).
2*(p - 7)*(p + 1)*(p + 2)/3
Let q(r) be the first derivative of 6/5*r**5 + 0*r + 0*r**2 + 0*r**4 - 1/3*r**6 - 8/3*r**3 + 62. Factor q(h).
-2*h**2*(h - 2)**2*(h + 1)
Let j = 842 - 1282. Let h be j/(-615) + 22/(-451). Determine c so that c**4 - h*c**3 - 1/3 - 2/3*c**2 + c - 1/3*c**5 = 0.
-1, 1
Factor -5072 - 199*g**2 + 12*g**2 - g**3 - 4634 + 1057 - 8835*g.
-(g + 1)*(g + 93)**2
Let m be (-1)/2*-4 + 12280/(-20). Let j = m + 616. Factor 2/5*l**j + 8/5*l + 18/5*l**2 - 12/5*l**3 - 24/5.
2*(l - 3)*(l - 2)**2*(l + 1)/5
Let b(s) be the first derivative of s**4/8 + s**3/3 - 799*s**2/4 - 4624*s + 3200. Find r such that b(r) = 0.
-17, 32
Let y(u) = -u**3 + 13*u**2 + 2*u - 16. Let d be y(13). Factor -20 + 5*w**2 + 35*w - 40*w + d.
5*(w - 2)*(w + 1)
Factor 88/3*l**2 - 1142/3*l - 26/3.
2*(l - 13)*(44*l + 1)/3
Factor -1/2*p**2 - 13 - 15/2*p.
-(p + 2)*(p + 13)/2
Let -64/11*z**2 - 2/11*z**4 + 20/11*z**3 + 76/11*z - 30/11 = 0. Calculate z.
1, 3, 5
Let q(b) be the second derivative of -b**4/18 + 20*b**3/9 + 100*b**2 + 1123*b. Factor q(f).
-2*(f - 30)*(f + 10)/3
Let k(j) be the second derivative of j**5/75 + 5*j**4/8 - 19*j**3/30 - 47*j**2/2 - 3*j + 15. Let h(l) be the first derivative of k(l). Factor h(a).
(a + 19)*(4*a - 1)/5
Factor 4*l**4 - 36*l**2 + 0*l + 432/5 + 4*l**3 - 4/5*l**5.
-4*(l - 3)**3*(l + 2)**2/5
Let -498/11*x**2 + 2/11*x**3 + 0 + 0*x = 0. What is x?
0, 249
Let j be 0/((-897)/((-1482)/(-38))). Factor -24/17*t + 32/17 + j*t**2 + 2/17*t**3.
2*(t - 2)**2*(t + 4)/17
Let h(t) be the first derivative of 2*t**6/21 + 8*t**5/7 + 37*t**4/7 + 80*t**3/7 + 72*t**2/7 + 878. Determine b so that h(b) = 0.
-3, -2, 0
Let o be (-12)/(-36) + 3/(-9). Suppose 0 = 3*q + 4*z - 26, o*z = q - z + 3. Determine h, given that 0 + 1/5*h**q + 1/5*h = 0.
-1, 0
Let q(r) be the third derivative of 0*r + 1/175*r**7 + 4 - 2*r**2 + 0*r**6 - 7/50*r**5 - 3/10*r**4 + 0*r**3. Factor q(g).
6*g*(g - 3)*(g + 1)*(g + 2)/5
Let b = 22799 + -159589/7. Factor 6/7 + b*r - 2/7*r**2.
-2*(r - 3)*(r + 1)/7
Let t(n) be the first derivative of 0*n + 0*n**3 + 0*n**2 + 98 + 1/22*n**4 + 2/55*n**5. Determine d, given that t(d) = 0.
-1, 0
Solve 0 - 54/7*t**3 + 48/7*t**2 - 3/7*t**4 + 3/7*t**5 + 96/7*t = 0.
-4, -1, 0, 2, 4
Let p(g) = -3*g**3 - 1254*g**2 + 1257*g + 14. Let m(t) = 8*t**3 + 3760*t**2 - 3768*t - 40. Let n(r) = -7*m(r) - 20*p(r). Suppose n(b) = 0. What is b?
0, 1, 309
Suppose -3*c + 324 = i, 149 + 283 = 4*c + 4*i. Let j = c - 92. Factor 10*f**3 - 3*f**2 + 9 - 3*f**4 - j*f**3 - 9.
-3*f**2*(f + 1)**2
Let n(b) be the second derivative of 8*b**7/189 - 128*b**6/45 + 37*b**5/9 + 143*b**4/27 - 62*b**3/9 - 94*b**2/9 - 713*b. Find u such that n(u) = 0.
-1/2, 1, 47
Let x(s) = s**3 - 12*s**2 - 26*s. Let d(i) = i - 1. Let v(j) = -2*d(j) + x(j). Let c be v(14). Factor 5*y**3 + 6 - 30*y**c - 19 + 40*y + 5*y**2 - 7.
5*(y - 2)**2*(y - 1)
Suppose -4*w + 5*m - 368 + 350 = 0, 12*w + 5*m = 66. Find l, given that 0 - 2/3*l + 4/5*l**2 - 2/15*l**w = 0.
0, 1, 5
Suppose -3*k + 9 = 4*g - 6*g, -2*k + 6 = 5*g. Suppose -5974*n**2 - 3746*n**2 + 17505*n - 5*n**4 - 360*n**k - 524880 - 134145*n = 0. What is n?
-18
Let b(a) be the second derivative of -19*a + 0 - 1/10*a**5 + 0*a**3 + 5/2*a**2 + 1/60*a**6 + 1/6*a**4. Let f(v) be the first derivative of b(v). Factor f(x).
2*x*(x - 2)*(x - 1)
Let v(s) be the third derivative of s**5/60 + 5*s**4/12 + 61*s**3/6 - 111*s**2. Let d(m) = -4*m**2 - 34*m - 182. Let x(a) = -4*d(a) - 14*v(a). Factor x(w).
2*(w - 9)*(w + 7)
Let l(a) be the third derivative of a**7/504 + 25*a**6/144 + a**5 + a**4/24 - 11*a**3/3 + 68*a**2. Let j(q) be the second derivative of l(q). Factor j(k).
5*(k + 1)*(k + 24)
Factor -587528/7 - 2/7*f**2 - 2168/7*f.
-2*(f + 542)**2/7
Let q(y) be the second derivative of -y**5/240 + 5*y**4/16 - 29*y**3/24 + 56*y**2 + 199*y. Let x(j) be the first derivative of q(j). Factor x(k).
-(k - 29)*(k - 1)/4
Let v = 683/2 + -341. Let j(a) be the first derivative of 1/18*a**6 + v*a**2 + 2/9*a**3 + 0*a**5 - 2/3*a - 1/3*a**4 + 7. Suppose j(d) = 0. What is d?
-2, -1, 1
Factor 2*n**2 - 6*n**2 - 90*n - 74*n + 2765 - 2061 + 4*n.
-4*(n - 4)*(n + 44)
Find n such that 2/13*n**5 - 90/13*n**2 + 0 + 14*n**3 + 0*n - 94/13*n**4 = 0.
0, 1, 45
Suppose 2*u - 4*o = 3*u + 40, -u - o = 46. Let t = 48 + u. Determine z so that -94*z**4 + 3*z**2 + z + t*z + 3*z**3 + 95*z**4 = 0.
-1, 0
Let y(z) be the second derivative of z**5/5 + 115*z**4/3 + 76*z**3 - 76*z - 3. Factor y(o).
4*o*(o + 1)*(o + 114)
Suppose -3*s = -6 - 3. Suppose 3*d = -5*x - d + s, 12 = -4*d. Factor -3*f + 3*f - 6 - x*f**3 + 6*f + 3*f.
-3*(f - 1)**2*(f + 2)
Let d(s) = -20*s**3 - 75*s**2 - 130*s + 15. Let u(n) = n**3 - 1. Let j(c) = d(c) + 15*u(c). Let j(z) = 0. What is z?
-13, -2, 0
Factor -10*b**3 + 8*b**3 + 4*b**4 + 19*b**3 - 48*b**2 + 10*b**2 - 3*b**4.
b**2*(b - 2)*(b + 19)
Let q be ((-308)/(-176))/((-1309)/(-136)) - 24/(-110). Suppose -6*l**4 + 0 + 128/5*l**2 - 96/5*l**3 + 0*l - q*l**5 = 0. Calculate l.
-8, 0, 1
Let o(z) be the second derivative of z**6/40 - 45*z**5/16 + 219*z**4/16 - 217*z**3/8 + 27*z**2 + 112*z - 1. Factor o(y).
3*(y - 72)*(y - 1)**3/4
Let n(w) = -135*w - 30. Let s be n(-4). What is h in 10 - s*h - 458*h**3 + 830*h - 212*h**2 - 168*h**4 - 18*h**5 - 74 = 0?
-4, -2, 1/3
Let k(l) be the first derivative of l**7/126 - l**6/15 + 8*l**4/9 + 103*l - 22. Let o(c) be the first derivative of k(c). Suppose o(u) = 0. Calculate u.
-2, 0, 4
Let z be (2/8)/(793/8 + -3). Let s = 29216/2307 + z. Let 14/3*b**3 + s*b**2 - 8/3 + 16/3*b = 0. What is b?
-2, -1, 2/7
Let v be (-570)/(-18) + 4/(-6). Let n = v + -23. Solve -22*p + n*p**2 + 18*p - 10*p**2 = 0 for p.
-2, 0
What is u in -7*u**2 + 163*u**4 + 18*u**3 - 10*u**3 + 15*u**2 - 161*u**4 = 0?
-2, 0
Let i(y) = -y**3 + 31*y**2 - 132*y + 52. Let l be i(26). Let q(o) be the second 