ine l, given that 0*l**v + 0 - 2/13*l**4 + 2/13*l**5 + 0*l + a*l**3 = 0.
0, 1
Let f(p) be the third derivative of p**8/84 + 8*p**7/21 + 10*p**6/3 - 32*p**5/3 - 640*p**4/3 + 4096*p**3/3 - 41*p**2 + 6*p. Factor f(d).
4*(d - 2)**2*(d + 8)**3
Let c(j) be the first derivative of -4*j**3/3 - 272*j**2 - 18496*j - 421. Factor c(n).
-4*(n + 68)**2
Suppose -4*o - 5 - 15 = -4*n, 10 = 2*n + 5*o. Factor -7*u + 20 - 4*u - n - 7*u + 3*u**2.
3*(u - 5)*(u - 1)
Suppose 17/3*a + 1/3*a**2 + 52/3 = 0. What is a?
-13, -4
Let m be 7*(-30)/21*-1. Suppose 2*q + 2*t = -q + m, 4 = 4*q - 2*t. Solve -y**3 + 12*y**q + 254 - 248 - 15*y - 2*y**3 = 0 for y.
1, 2
Let l be 1 - 5/(-12)*1634/(-1235). Let x = -3/26 + l. Factor -2*j**2 - x + 4/3*j - 1/3*j**4 + 4/3*j**3.
-(j - 1)**4/3
Let u(k) be the second derivative of -k**7/288 - 13*k**6/288 + k**5/12 - k**4 + 13*k. Let h(r) be the third derivative of u(r). Factor h(v).
-5*(v + 4)*(7*v - 2)/4
Let m be 48/(-64)*(-4)/(-6)*0/(-1). Factor -2/21*n**2 + m - 2/7*n**3 + 4/21*n.
-2*n*(n + 1)*(3*n - 2)/21
Let t be (16/72)/(5/135). Let v(k) be the second derivative of 2*k**3 - t*k + 1/30*k**6 + 3/10*k**5 + 2*k**2 + 13/12*k**4 + 0. Factor v(r).
(r + 1)**2*(r + 2)**2
Let n(k) = 2*k**3 + 50*k**2 + 370*k + 734. Let j(o) = -2*o**3 - 50*o**2 - 369*o - 736. Let y(r) = -4*j(r) - 5*n(r). Let y(m) = 0. What is m?
-11, -3
Suppose 0 = -0*w + 12*w - 72. Let g(t) be the second derivative of -1/105*t**w + 1/70*t**5 - 1/21*t**3 + 1/42*t**4 + 0*t**2 + 0 - 3*t. Factor g(l).
-2*l*(l - 1)**2*(l + 1)/7
Let g(n) be the second derivative of n**4/3 - 4*n**3 + 16*n**2 - 2*n + 14. Factor g(y).
4*(y - 4)*(y - 2)
Let t(n) be the second derivative of n**6/225 - 19*n**5/75 + 26*n**4/5 - 338*n**3/9 - 2197*n**2/15 - n - 10. Factor t(d).
2*(d - 13)**3*(d + 1)/15
Let o(g) be the third derivative of -g**7/840 + g**5/40 - g**4/12 + 25*g**3/6 - 9*g**2. Let j(z) be the first derivative of o(z). Find s, given that j(s) = 0.
-2, 1
Let t(i) = -115*i**2 - 105*i - 65. Let q(l) = -14*l**2 - 13*l - 8. Let w(u) = 25*q(u) - 3*t(u). Let w(h) = 0. What is h?
-1
Let u(p) be the third derivative of -5/2*p**3 - 1/6*p**5 + 0*p + 0 - 25/24*p**4 - 21*p**2. Let u(d) = 0. Calculate d.
-3/2, -1
Let b be 4/(-14) + (-176)/(-77). Let y(w) be the first derivative of 0*w + 5 - 8/27*w**3 + 1/9*w**b. What is f in y(f) = 0?
0, 1/4
Solve 40/11*w**2 + 0 + 8/11*w + 18/11*w**3 = 0.
-2, -2/9, 0
Let l(j) be the first derivative of -j**3/9 - 5*j**2 + 33*j + 11. Let l(k) = 0. What is k?
-33, 3
Let n be 209/38*24/22. Let f(w) be the first derivative of -8/3*w**3 + 0*w + 25/3*w**n + 0*w**2 + 12*w**4 - 18*w**5 + 3. Find i, given that f(i) = 0.
0, 2/5, 1
Let x(g) = 5*g**3 - 4*g - g**3 + 13 - 4 + 0*g**2 + g**2. Let q(v) = 2*v**3 - 2*v + 4. Let n(k) = -5*q(k) + 2*x(k). Factor n(p).
-2*(p - 1)**2*(p + 1)
Let s(a) be the third derivative of -a**7/3780 - a**6/1080 - 7*a**4/12 - 8*a**2. Let v(p) be the second derivative of s(p). Solve v(q) = 0.
-1, 0
Let p(j) be the second derivative of -4*j**7/147 - j**6/15 + 9*j**5/35 + 2*j**4/3 - 8*j**3/21 + 6*j - 30. Find h, given that p(h) = 0.
-2, 0, 1/4, 2
Let z(t) = -3*t**4 + 36*t**3 + 111*t**2 + 51*t - 192. Let f(g) = -2*g**4 + g**3 + g**2 + g. Let a(r) = -3*f(r) + z(r). Factor a(k).
3*(k - 1)*(k + 4)**3
Let r = -26021/15 - -8677/5. Factor r*i**2 - 2/9*i + 2/9*i**4 + 0 - 2/3*i**3.
2*i*(i - 1)**3/9
Let o(k) be the second derivative of -2*k**6/15 - 5*k**5 - 23*k**4 - 134*k**3/3 - 44*k**2 + 127*k - 1. Find p, given that o(p) = 0.
-22, -1
Let v(f) be the second derivative of 5*f + 0 - 5/2*f**3 + 5/4*f**4 - 1/4*f**5 + 5/2*f**2. Find u, given that v(u) = 0.
1
Factor 51/5 - 3/5*q - 51/5*q**2 + 3/5*q**3.
3*(q - 17)*(q - 1)*(q + 1)/5
Suppose -5*x + 10 + 0 = 0. Find w such that w**x + 8*w + 10*w - 4 - 18*w = 0.
-2, 2
Suppose 305 = 190*p + 17 - 92. Solve 2/5*k**3 + 2/15*k**p - 2/15 - 2/5*k = 0 for k.
-1, -1/3, 1
Let o(g) be the third derivative of -3*g**8/112 + 23*g**7/70 - 61*g**6/40 + 61*g**5/20 - g**4 - 6*g**3 - 587*g**2. Solve o(l) = 0.
-1/3, 1, 2, 3
Let g(m) be the second derivative of -49*m**5/30 + 28*m**4/9 - 16*m**3/9 - 23*m. Factor g(r).
-2*r*(7*r - 4)**2/3
Find j, given that 10 - 119/4*j - 3/4*j**2 = 0.
-40, 1/3
Factor -24/11*v**2 - 8/11*v - 2/11*v**5 - 12/11*v**4 - 26/11*v**3 + 0.
-2*v*(v + 1)**2*(v + 2)**2/11
Determine t so that 2*t + 0 - 5 - 11*t**2 + 9*t**2 + 29 = 0.
-3, 4
Find f, given that 48/7 - 2/7*f**2 - 4/7*f = 0.
-6, 4
Let m(b) = -9*b**3 + 13*b**2 + 52*b + 25. Let s(h) = -h**3 + h**2 - 3. Let p(w) = m(w) - 5*s(w). Determine i so that p(i) = 0.
-2, -1, 5
Factor 1566*r - 1524*r + 9*r**2 - 17*r**2 - 3*r**3 - 7*r**2.
-3*r*(r - 2)*(r + 7)
Let d be (-5)/(-1) + (-99)/20. Let l(f) be the second derivative of -9*f + 1/12*f**4 + 0*f**2 + 0*f**3 + 0 - d*f**5. Factor l(g).
-g**2*(g - 1)
Let j(q) = -72*q - 213. Let r be j(-3). Suppose -12/7*d + 0 + 16/7*d**2 - 4/7*d**r = 0. Calculate d.
0, 1, 3
Suppose -4*z = -20, 0 = -0*i - 4*i + 5*z - 17. Determine d so that -42*d**3 + 17*d**4 - i*d**4 + 37*d**3 - 15*d**2 + 5*d**5 = 0.
-3, -1, 0, 1
Determine l so that -6*l**5 + 172*l**4 - 42*l**3 - 18*l**2 - 200*l**4 - 2*l**2 = 0.
-2, -5/3, -1, 0
Let w(y) = y**2 + 13*y + 10. Let c be w(-8). Let h be (-3)/c*-6*(-1)/1. Factor 0 + 0*p - 3/5*p**4 + 0*p**3 + h*p**2.
-3*p**2*(p - 1)*(p + 1)/5
Let s(p) be the second derivative of p**4/48 + 199*p**3/12 + 39601*p**2/8 + 392*p. Factor s(o).
(o + 199)**2/4
Factor -94 - 106 - 70*a + 21*a + 120*a**4 - 44*a**3 - 391*a - 282*a**2 - 122*a**4.
-2*(a + 1)**2*(a + 10)**2
Let w(a) be the first derivative of a**3/9 - 17*a**2/3 + 289*a/3 + 264. Factor w(x).
(x - 17)**2/3
Let x(o) be the third derivative of 0 + 0*o + 1/40*o**6 + 1/20*o**5 + 0*o**3 + 0*o**4 + 31*o**2. Factor x(n).
3*n**2*(n + 1)
Determine m so that 0 + m + 13/2*m**2 + 11/2*m**3 = 0.
-1, -2/11, 0
Let n(r) be the second derivative of -r**5/4 - 5*r**4/2 - 15*r**3/2 - 10*r**2 + 4*r - 15. Determine u so that n(u) = 0.
-4, -1
Let t be ((-64)/14 + 2)*70/(-15). Let a be 100/112 - 9/t. Suppose -a*c**3 + 1/7*c**2 + 0 + 0*c = 0. What is c?
0, 1
Let g(w) be the first derivative of w**4/40 - w**3/6 + 3*w**2/10 - 305. Let g(z) = 0. What is z?
0, 2, 3
Factor -87*n**2 - 195*n - 40*n**3 + 7*n**2 + 17*n**3 + 18*n**3.
-5*n*(n + 3)*(n + 13)
Let x(l) = 3*l**3 + 12*l**2 + 3*l. Let u = 89 - 86. Let h(b) = b**2 - b. Let r(s) = u*h(s) - x(s). Find o such that r(o) = 0.
-2, -1, 0
Factor 29/3*k**4 + 5324/3 + 235/3*k**3 - 3872/3*k + 1/3*k**5 + 11/3*k**2.
(k - 2)**2*(k + 11)**3/3
Find d such that 3/2*d + 0 + 15/8*d**2 + 3/8*d**3 = 0.
-4, -1, 0
Let y(h) = -17*h**2 + 1490*h + 184514. Let x(u) = 231*u**2 - 19371*u - 2398683. Let p(s) = 2*x(s) + 27*y(s). Let p(j) = 0. What is j?
-248
Let y be (9846/(-1035) - (-22)/(-253))*-1. Determine u so that -8/3 - 14/15*u**2 - y*u = 0.
-10, -2/7
Let f(x) = -x**3 + 10*x**2 - x + 12. Let a be f(10). Let g(y) be the second derivative of 0*y**a - 1/48*y**4 - 1/12*y**3 + 0 - y. Factor g(v).
-v*(v + 2)/4
Let b = 1515/76 - 355/19. Find a such that 0*a + 1/2*a**5 + 0 + b*a**4 + 1/4*a**3 - 1/2*a**2 = 0.
-2, -1, 0, 1/2
Let t be (8/7 + -1)/(3/18633). Let c = 889 - t. Factor 12/7*j**4 + 4/7*j**5 + 0*j + c*j**3 + 0 + 4/7*j**2.
4*j**2*(j + 1)**3/7
Let t be (2 - (-122)/(-6))*3. Let n = 55 + t. Suppose 1/5*l**5 + n*l**2 + 1/5*l**3 - 2/5*l**4 + 0*l + 0 = 0. What is l?
0, 1
Let j(q) be the third derivative of q**5/20 + 7*q**4/4 + 13*q**3/2 - 3*q**2 - 22*q. Factor j(s).
3*(s + 1)*(s + 13)
Let b(v) be the second derivative of 8*v**6/25 + 18*v**5/5 + 273*v**4/20 + 169*v**3/10 - 188*v + 3. Factor b(i).
3*i*(i + 1)*(4*i + 13)**2/5
Let m(x) = -32*x**4 - 64*x**3 + 58*x**2 + 90*x - 17. Let t(p) = -11*p**4 - 22*p**3 + 19*p**2 + 30*p - 6. Let l(r) = 6*m(r) - 17*t(r). Solve l(y) = 0.
-3, -1, 0, 2
Let k(j) = -200*j + 2000. Let m(z) = z**2 + 200*z - 2000. Let b(f) = 6*k(f) + 5*m(f). Factor b(x).
5*(x - 20)**2
Suppose 239*i + 4 = -2 + 6. Factor -4/13*c**2 - 2/13*c**3 + i*c + 0.
-2*c**2*(c + 2)/13
Let w(q) be the first derivative of q**4/14 - 32*q**3/21 + 13*q**2/7 + 60*q/7 + 201. Factor w(o).
2*(o - 15)*(o - 2)*(o + 1)/7
Let u(p) = -p**2 + 5*p. Let w be u(4). Solve -w*h**2 - 9*h**5 + 11*h**5 + 2 + 2*h + 4*h**3 - 8*h**3 + 2*h**4 + 0*h**4 = 0.
-1, 1
Let u(x) be the second derivative of x**5/5 - 4*x**4/3 - 111*x. Factor u(g).
4*