*3
Let k = 26247/5830 + -6/2915. Factor k*r**2 + 0 - 11/2*r**3 + r.
-r*(r - 1)*(11*r + 2)/2
Let t(p) be the second derivative of 0 - 25/8*p**5 - 25/8*p**4 + 10*p - 5/4*p**3 - 1/4*p**2. Factor t(a).
-(5*a + 1)**3/2
Let s(w) be the first derivative of 29 + 5/24*w**4 + 0*w**3 - 5/12*w**2 + 0*w. Factor s(g).
5*g*(g - 1)*(g + 1)/6
Let d(x) = -2*x**3 + 2*x**2 + x - 1. Let m(y) = -18*y**3 - 21*y**2 - 48*y - 23. Let a(i) = -44*d(i) + 4*m(i). Find l, given that a(l) = 0.
-1, -1/4, 12
Determine z so that 0*z - 15/2*z**4 + 0 + 0*z**2 - 14*z**3 - z**5 = 0.
-4, -7/2, 0
Let b be 5 - 8 - (-21)/(-4)*-1. Let f(c) be the first derivative of 3/4*c**2 + 1/12*c**3 + b*c + 1. Factor f(p).
(p + 3)**2/4
Let o(f) be the first derivative of -10*f**3/3 - 5*f**2/2 + 15*f - 26. What is b in o(b) = 0?
-3/2, 1
Let c(v) be the third derivative of -v**5/48 - 5*v**4/16 + 35*v**3/24 + 118*v**2. Let c(q) = 0. What is q?
-7, 1
Let t(m) = 3*m**5 + 4*m**4 + 4*m**3 - 24*m**2 + 24*m. Let r(v) = 4*v**5 + 4*v**4 + 5*v**3 - 26*v**2 + 26*v. Let x(j) = 4*r(j) - 5*t(j). Solve x(c) = 0 for c.
-2, 0, 2
Let x = 3473 + -31249/9. Factor 2/9*r**2 + x*r + 0.
2*r*(r + 4)/9
Let n(y) be the second derivative of -y**5/60 + 2*y**4/9 - 7*y**3/18 + 126*y. Factor n(m).
-m*(m - 7)*(m - 1)/3
Let o be (-63 - 37206/(-594))/(1/(22/(-36))). Determine f, given that -o*f**5 + 0 - 4/9*f + 14/9*f**2 - 2*f**3 + 10/9*f**4 = 0.
0, 1, 2
Let k(y) be the third derivative of y**8/504 - 47*y**7/1575 + 73*y**6/900 + 83*y**5/450 - 7*y**4/30 + 607*y**2. Let k(q) = 0. What is q?
-1, 0, 2/5, 3, 7
Let y be 60/(-12) + -205*2/(-70). Suppose 6/7*v**4 - 9/7*v - 12/7*v**2 + 18/7*v**3 + y - 9/7*v**5 = 0. What is v?
-1, 2/3, 1
Suppose 19 + 3 = 20*y - 18. Suppose 0 + 4/9*j**y + 1/9*j = 0. Calculate j.
-1/4, 0
Suppose -92 = -16*p - 60. Let u(q) be the first derivative of -2/15*q**5 - 6 - 1/2*q**4 - 4/9*q**3 + 0*q + 0*q**p. Find w such that u(w) = 0.
-2, -1, 0
Let i = 29 + -44. Let q = i - -19. Factor 12*p - 3*p**q - 10*p**2 + p**2 + 12 + 0*p**3 - 12*p**3.
-3*(p - 1)*(p + 1)*(p + 2)**2
Let a be (126/(-40) + (-297)/(-132))/((-6)/10). What is h in 9/8 + 3/8*h**2 + a*h = 0?
-3, -1
Let j(o) = -o**2 + 9*o + 5. Let p be j(9). Suppose 2*f + 4 - 18 = -3*s, 20 = p*f. Solve u**3 - s + 22*u + 0 - 25*u = 0 for u.
-1, 2
Suppose -16 = -4*i - 4*o, -4*o - 417 + 424 = i. Suppose 0 - 2*h - 1/2*h**4 - 3*h**i - 9/2*h**2 = 0. Calculate h.
-4, -1, 0
Let u(j) be the second derivative of -1/80*j**5 + 0*j**2 - 4*j + 0 + 1/16*j**4 - 1/12*j**3. Factor u(q).
-q*(q - 2)*(q - 1)/4
Factor 0*b**4 - 4/5*b**3 + 0 + 0*b**2 + 2/5*b**5 + 2/5*b.
2*b*(b - 1)**2*(b + 1)**2/5
Let y(g) be the second derivative of -g**6/10 - 27*g**5/20 + g**4/4 + 9*g**3/2 - 147*g. Factor y(r).
-3*r*(r - 1)*(r + 1)*(r + 9)
Let q = -6914/255 + 470/17. What is c in q*c**3 - 8/15*c**2 + 0*c - 2/15*c**4 + 0 = 0?
0, 2
Let v(p) be the first derivative of -p**6/12 + p**5/6 + 35*p**4/48 + 5*p**3/6 - 5*p**2/2 - 14. Let k(m) be the second derivative of v(m). Factor k(c).
-5*(c - 2)*(2*c + 1)**2/2
Let v(d) = -7*d**2 - 22*d - 29. Let w(f) = -16*f**2 - 46*f - 59. Let p(x) = -5*v(x) + 2*w(x). Factor p(u).
3*(u + 3)**2
Solve 2/11*z**4 + 2/11*z**3 - 42/11*z**2 - 40/11 - 82/11*z = 0 for z.
-4, -1, 5
Let o(v) = 3*v - 1. Let u be o(-1). Let i = 10 + u. Factor 6*s**4 - 12*s**3 + 12*s + 6*s**4 - 2 + i*s**4 - 16*s**2.
2*(s - 1)*(s + 1)*(3*s - 1)**2
Solve 1 - 53*n + 17*n - 1 - 4*n**2 + 16*n = 0.
-5, 0
Let g(u) be the second derivative of u**6/30 + 2*u**5/5 + 5*u**4/12 - 7*u**3/3 + 364*u. Suppose g(r) = 0. What is r?
-7, -2, 0, 1
Factor 2/13*v**2 + 0 - 4/13*v.
2*v*(v - 2)/13
Let g be 3*((-16)/6 - -4). Factor 9*l**2 - 3*l**2 + 2*l**2 - g*l**3.
-4*l**2*(l - 2)
Let l(w) be the second derivative of 0*w**5 + 13*w + 0*w**2 + 0 - 1/22*w**4 - 2/33*w**3 + 1/165*w**6. Suppose l(v) = 0. Calculate v.
-1, 0, 2
Suppose 111*l - 331 = -62*l + 15. Let -5/11*i - 1/11*i**l - 6/11 = 0. Calculate i.
-3, -2
Let p(o) be the third derivative of -11*o**2 + 1/96*o**4 - 1/480*o**6 - 1/8*o**3 + 1/80*o**5 + 0*o + 0. Suppose p(v) = 0. Calculate v.
-1, 1, 3
Let l be (14/10)/(2/10). Let f = l + -1. Factor -6*q**2 + f*q + 2*q**2 - 2*q.
-4*q*(q - 1)
Let h = -10010 - -10013. Suppose 1/2*b + 0 + 1/2*b**5 - b**h + 0*b**2 + 0*b**4 = 0. Calculate b.
-1, 0, 1
Let n = -5 - -7. Factor 5*q**2 - n*q**4 - 10*q**2 + 7*q**2.
-2*q**2*(q - 1)*(q + 1)
Determine b, given that b**2 + 4/3 + 2/3*b**3 - 8/3*b - 1/3*b**4 = 0.
-2, 1, 2
Suppose m - 2*s = s + 26, 4*m - 76 = -2*s. Let h = 24 - m. Factor -45*p**2 + h*p**3 + 12*p**4 - 4*p**5 + 48*p + 0*p**5 + p**2 - 16.
-4*(p - 2)*(p - 1)**3*(p + 2)
Let q(b) be the third derivative of b**7/210 + 4*b**6/5 + 9*b**2 - 13*b. Determine i so that q(i) = 0.
-96, 0
Find u such that 25 - 94*u**2 - 23*u**3 - 45/2*u + 21*u**4 - 5/2*u**5 = 0.
-1, 2/5, 5
Let g = -54 - -59. Let 40*w - 15*w**4 + 11*w**3 + 9*w**3 - 10*w**3 - 3*w**5 + 60*w**2 - 2*w**g = 0. What is w?
-2, -1, 0, 2
Let x(y) be the third derivative of y**9/20160 - y**7/1680 - 3*y**5/20 + 11*y**2. Let z(q) be the third derivative of x(q). Factor z(p).
3*p*(p - 1)*(p + 1)
Suppose 3*n - 24 = -2*p - 4, 3*n + 4*p - 28 = 0. Find s such that 5*s**5 - 20*s + 47*s**2 - 30*s**4 - 16*s**2 - 13*s**3 + 23*s**4 + n = 0.
-2, 2/5, 1
Factor 0 + 0*m - 2/5*m**3 - 18/5*m**2.
-2*m**2*(m + 9)/5
Let u(v) = v**5 + 2*v**4 + 2*v**3 - v**2 - v + 1. Let c(a) = 4*a**5 + 6*a**4 + 3*a**3 - 5*a**2 - 3*a + 3. Let g(n) = -2*c(n) + 6*u(n). Factor g(z).
-2*z**2*(z - 2)*(z + 1)**2
Let m(o) = -o**3 - 9*o**2 - 9*o - 5. Suppose 0*c + 24 = -3*c. Let y be m(c). Factor -k**2 + y*k**3 - 4*k - 2*k**4 - 3*k**2 - 11*k**3 - 6*k**2.
-2*k*(k + 1)**2*(k + 2)
Let k = 31 - 28. Suppose -s - 2*z = -7*z + 3, -3*z + k = 0. Suppose 2/3 - 4/3*i + 2/3*i**s = 0. Calculate i.
1
Suppose -18*n + 2*n**2 - 4*n + 22*n + n**2 + 2*n**3 - n**4 = 0. What is n?
-1, 0, 3
Let d = 230 + -230. Let w(c) be the second derivative of d*c**3 + 0*c**4 + c + 0 + 0*c**2 - 1/60*c**5 + 1/90*c**6. Solve w(a) = 0 for a.
0, 1
Let o(i) be the third derivative of i**7/280 - i**6/60 - i**5/48 + i**4/16 + 126*i**2. Factor o(z).
z*(z - 3)*(z + 1)*(3*z - 2)/4
Suppose 2*f - 2*y = 10, 4*f - 4*y - 6 = 7*f. Let 14*h**f - 75*h**3 - 30 - 4*h**2 + 25*h + 70*h**3 = 0. What is h?
-2, 1, 3
Let z(c) be the third derivative of c**9/211680 + c**8/11760 + c**7/1470 + c**6/315 + c**5/12 + c**2. Let p(t) be the third derivative of z(t). Factor p(r).
2*(r + 2)**3/7
Let l(m) be the third derivative of 0 - 5*m**2 + 1/2415*m**7 - 1/460*m**6 + 0*m - 2/69*m**3 + 1/92*m**4 + 1/690*m**5. Solve l(o) = 0.
-1, 1, 2
Suppose 3 = -g - 2*f, f - 2 = 1. Let p = g - -11. Determine k, given that 2*k**3 + 3*k**3 - 3*k**2 - p*k**4 - 2*k + 2*k**2 = 0.
-1/2, 0, 1, 2
Let k(g) be the second derivative of -8*g + 1/18*g**4 + 0*g**2 + 1/63*g**7 - 1/10*g**5 + 0 - 1/45*g**6 + 2/9*g**3. Solve k(h) = 0 for h.
-1, 0, 1, 2
Find z such that -16*z**4 + 5*z**4 - 35 + 9*z**4 + 205*z - 285*z**2 + 22*z**4 + 95*z**3 = 0.
-7, 1/4, 1
Let v(u) be the third derivative of 6 + 0*u - 1/390*u**5 + 0*u**3 + 1/52*u**4 - 7*u**2. Let v(h) = 0. What is h?
0, 3
Let h(l) be the second derivative of -l**6/72 - 5*l**5/12 - 125*l**4/24 - l**3/3 - 5*l. Let a(y) be the second derivative of h(y). Solve a(d) = 0 for d.
-5
Let g(l) = -5*l**3 - 8*l**2 - 3*l. Let n(s) = -2*s**3 - 3*s**2 - s. Let f = -16 + 24. Let v(u) = f*n(u) - 3*g(u). Suppose v(y) = 0. Calculate y.
-1, 0, 1
Let c(x) be the second derivative of 49*x**4/66 - 112*x**3/33 + 64*x**2/11 + 36*x - 1. Find w such that c(w) = 0.
8/7
Factor -2*h**2 + 4*h**2 + 51 - 72*h + 109 - 17*h**2 + 11*h**2.
-4*(h - 2)*(h + 20)
Let x be (-18)/(-8)*(8/(-4))/(-6). Let i(u) be the first derivative of -2 - 3/2*u**2 - u**3 + x*u**4 + 0*u + 3/5*u**5. Factor i(c).
3*c*(c - 1)*(c + 1)**2
Let m(k) be the second derivative of 35*k**4/18 - 2*k**3/27 - 321*k. What is n in m(n) = 0?
0, 2/105
Let p(v) be the second derivative of v**4/6 + v**3 - 6*v. Let m(x) = 3*x**2 + 7*x. Let s(n) = 4*m(n) - 5*p(n). Factor s(y).
2*y*(y - 1)
Let l(y) be the third derivative of 1/78*y**5 + 0*y + 0 - 1/195*y**6 + 1/1365*y**7 - 1/78*y**4 - 10*y**2 + 0*y**3. Factor l(g).
2*g*(g - 2)*(g - 1)**2/13
Let o be 2/60*(-24)/(-16)*2. Let t(h) be the second derivative of 0 + 4/9*h**3 + o*h**5 + 0*h**2 + 4/9*h**4 - 5*h. Factor t(n).
2*n*(n + 2)*(3*n + 