*4 + 19*n. Factor k(z).
3*(z + 4)**2/4
Factor -69/7*j - 108/7 + 36/7*j**2 - 3/7*j**3.
-3*(j - 9)*(j - 4)*(j + 1)/7
Let u(l) be the third derivative of 5*l**8/336 - l**7/42 - l**6/12 + l**5/6 + 5*l**4/24 - 5*l**3/6 - 38*l**2 + 6*l. Suppose u(n) = 0. Calculate n.
-1, 1
Suppose 7*g - 78 - 90 = 0. Let x = g + -15. Factor -6*v**4 - 2 - 5*v**3 - 7*v + 0*v - x*v**2 + v**4 + 4*v**4.
-(v + 1)**3*(v + 2)
What is g in 4*g**4 + 24*g**3 + 4*g**3 - 12*g**2 + 287 - 98*g - 579 + 6*g + 236 = 0?
-7, -1, 2
Let a(d) be the second derivative of -d**6/15 - d**5 + 11*d**4/6 + 73*d - 2. Suppose a(s) = 0. What is s?
-11, 0, 1
Let t(w) be the second derivative of -w**4/24 - 3*w**3/2 + 19*w**2/4 + 2*w + 16. Determine z, given that t(z) = 0.
-19, 1
Let w(c) = c**3 + 4*c**2 - 51*c - 50. Let f be w(6). Suppose 0*d**3 + 0 - 5/6*d**f + 0*d + 5/6*d**2 = 0. Calculate d.
-1, 0, 1
What is t in -2/23*t**2 + 0 - 36/23*t = 0?
-18, 0
Let t(o) be the first derivative of o**5/140 + o**4/42 - o**3/14 + 9*o - 9. Let g(i) be the first derivative of t(i). Factor g(l).
l*(l - 1)*(l + 3)/7
Factor -72/13 - 2/13*l**2 + 30/13*l.
-2*(l - 12)*(l - 3)/13
Let b(c) be the first derivative of 0*c + 1/9*c**3 + 1/2*c**2 + 44. Determine m so that b(m) = 0.
-3, 0
Let h(n) be the third derivative of -n**9/72576 - n**8/4032 - n**5/20 + 23*n**2. Let i(b) be the third derivative of h(b). Factor i(o).
-5*o**2*(o + 6)/6
Let x(f) be the second derivative of f**7/147 + f**6/15 + f**5/5 + f**4/21 - 5*f**3/7 - 9*f**2/7 - f + 165. Let x(v) = 0. What is v?
-3, -1, 1
Suppose 2 = -o + 10. Let g(p) = 2*p**3 - 5*p**2 + p - 10. Let z be g(3). Find i, given that o*i**2 - 3*i**3 + 2*i**z - 4*i**2 = 0.
0, 2
Let b(d) be the third derivative of d**6/45 + d**5/6 + d**4/3 - 37*d**3/6 - 21*d**2. Let x(z) be the first derivative of b(z). Suppose x(n) = 0. Calculate n.
-2, -1/2
Let a = 5716/7 - 812. Factor -16/7*t + a + 2/7*t**2.
2*(t - 4)**2/7
Let t be ((-455)/90 - -5)*-2. Let x(z) be the first derivative of -4/9*z + t*z**2 - 1 + 4/27*z**3 - 1/18*z**4. Factor x(i).
-2*(i - 2)*(i - 1)*(i + 1)/9
Let s(q) be the first derivative of -q**5/5 - q**4/4 + q**2/2 - q - 5. Let w(k) = k**4 - 14*k**3 - 25*k**2 - 16*k + 6. Let y(t) = 6*s(t) + w(t). Factor y(g).
-5*g*(g + 1)**2*(g + 2)
Let a(i) be the third derivative of -i**6/160 + 9*i**4/32 + 2*i**2 + 2*i. Determine c, given that a(c) = 0.
-3, 0, 3
Suppose 3 = -6*k + 27. Let h(g) be the first derivative of 2 + 2*g**5 + 6*g**3 - k*g + 13/2*g**4 - g**2. Factor h(c).
2*(c + 1)**3*(5*c - 2)
Factor -8/9*c - 2/3 - 2/9*c**2.
-2*(c + 1)*(c + 3)/9
Suppose 11 - 7 = t. Suppose -3 - 22 = 3*f + 5*r, -2*f = t*r + 20. Factor f*z**2 + 1/4*z - 1/4*z**3 + 0.
-z*(z - 1)*(z + 1)/4
Let f(l) be the third derivative of 5*l**8/168 + 26*l**7/35 - 8*l**6/15 - 12*l**2 - l. Factor f(r).
2*r**3*(r + 16)*(5*r - 2)
Let g = -20 + 29. Factor 5*b**2 + 0*b - g*b + 5 - 1.
(b - 1)*(5*b - 4)
Let k = 65 - 50. Suppose -x - 13 = -k. Factor 0*w + 1/3 - 1/3*w**x.
-(w - 1)*(w + 1)/3
Suppose 5*a - 62 - 333 = 0. Let c = 239/3 - a. Suppose 0 - 10/3*l**2 - c*l = 0. Calculate l.
-1/5, 0
Determine g, given that -10/3*g + g**2 - 8 + 1/3*g**3 = 0.
-4, -2, 3
Let b be 6 - (122/42 - (-12)/126). Suppose 0 + 0*x**b + 6/13*x**2 + 4/13*x - 2/13*x**4 = 0. Calculate x.
-1, 0, 2
Let r be 51/((21/2)/7). Let w be 4*(r/8 + 1). Solve -s**3 - 21 + s + w = 0.
-1, 0, 1
Let f(c) be the second derivative of c**8/15680 - c**7/5880 - c**6/1680 + c**5/280 - c**4/12 - 9*c. Let s(i) be the third derivative of f(i). Factor s(a).
3*(a - 1)**2*(a + 1)/7
Let w be ((-8)/(-6))/((-2)/(-3)). Factor f - 7*f + f - 2*f**w - 3*f - 6.
-2*(f + 1)*(f + 3)
Factor f - 3*f**3 - 7 + 5 + 1 + f**2 + 2*f.
-(f - 1)*(f + 1)*(3*f - 1)
Let i(a) = 3*a**5 + 8*a**4 + 14*a**3 - 2*a**2 - 19*a - 4. Let g(o) = 10*o**5 + 23*o**4 + 41*o**3 - 6*o**2 - 58*o - 10. Let d(v) = 4*g(v) - 14*i(v). Factor d(h).
-2*(h - 1)*(h + 1)**3*(h + 8)
Let r(u) be the second derivative of -81/17*u**4 - 972/17*u**3 - 1/255*u**6 + 0 - 6561/17*u**2 - 18/85*u**5 + 14*u. Solve r(i) = 0 for i.
-9
Let r(m) be the second derivative of -m**5/16 - 25*m**4/48 + 5*m**3/3 + 15*m**2/2 - 2*m + 8. Find b, given that r(b) = 0.
-6, -1, 2
Let c(j) be the first derivative of j**4/6 + j**3 + 6*j + 22. Let t(l) be the first derivative of c(l). Factor t(d).
2*d*(d + 3)
Solve 51*q**5 + 50*q**5 + 12*q**2 - 19*q**4 - 110*q**5 + 27*q**3 - 21*q**4 + 10*q**4 = 0 for q.
-4, -1/3, 0, 1
Suppose 2*r - 24 = -2*d, 3*r - 13 - 2 = 0. Let 4 - 8*c**4 - 3*c**2 + 0*c**2 - 4*c + d*c**4 + 4*c**3 = 0. What is c?
-1, 1, 2
Let o(k) = -k**2 - k + 2. Let g(v) = -18*v**2 - 9*v + 39. Let q(d) = -g(d) + 15*o(d). Factor q(c).
3*(c - 3)*(c + 1)
Suppose -22*b - 8 + 4 = -4. What is k in -2/5*k**3 + 8/5*k + 0 + b*k**2 = 0?
-2, 0, 2
Let p = 2 + 0. Suppose f = -3*f + 144. Find s, given that f*s + 3*s**2 - p*s**2 - 35*s = 0.
-1, 0
Let l = 7/143 - 193/6864. Let n(o) be the second derivative of 0*o**3 + 0 + 9*o + l*o**4 + 0*o**2. Find r such that n(r) = 0.
0
Let w be (-11)/((-22)/(-12)*-3). Suppose 1/3*a + 0 - 1/2*a**w = 0. Calculate a.
0, 2/3
Let y(d) be the second derivative of d**6/80 - 3*d**5/40 + d**4/8 + 4*d**2 + 12*d. Let s(g) be the first derivative of y(g). Suppose s(v) = 0. What is v?
0, 1, 2
Let d be 24/(-132)*11 + 4. Factor 1/6*o**3 + 1/12*o**4 - 1/3 - 2/3*o - 1/4*o**d.
(o - 2)*(o + 1)**2*(o + 2)/12
Factor 257*f - 4*f**2 + 423*f - 21435 - 7465.
-4*(f - 85)**2
Factor 0 - 21/5*s**4 + 0*s - 3*s**2 + 3/5*s**5 + 33/5*s**3.
3*s**2*(s - 5)*(s - 1)**2/5
Let b be (-3156)/(-40) + 6/4. Let o = -80 + b. Solve 4/5*n + 6/5 - o*n**2 = 0 for n.
-1, 3
Let p be (-4)/(-14) - (24/(-30) + 134/(-70)). Factor -2/5*t**p - 2*t**2 + 0 + 0*t.
-2*t**2*(t + 5)/5
Suppose 26*q - 25*q - 8 = 0. Suppose -20*p + 8 + 0 - 12*p**4 + q*p**2 - 4*p**4 + 4*p**5 + 16*p**3 = 0. Calculate p.
-1, 1, 2
Let x(c) be the third derivative of -c**7/35 + 11*c**6/60 - 37*c**5/90 + 5*c**4/12 - 2*c**3/9 - 65*c**2 - 1. Find k such that x(k) = 0.
1/3, 1, 2
Find m such that -2784*m**3 - 9*m**4 + 18 + 2802*m**3 + 57*m + 3*m**4 + 60*m**2 - 3*m**5 = 0.
-2, -1, 3
Factor -3/4*z**2 + 9/2*z + 21/4.
-3*(z - 7)*(z + 1)/4
Let d(f) be the second derivative of -f**5/90 - 2*f**4/27 + 28*f**3/27 - 32*f**2/9 + 172*f. Solve d(g) = 0.
-8, 2
Let w(i) be the second derivative of i**6/30 - i**5/5 - 5*i**4/12 - 58*i + 2. Determine r, given that w(r) = 0.
-1, 0, 5
Suppose -3*c + 0*j + 105 = -j, 4*j + 24 = c. Let u be (4/c)/(1/12). Factor -2/3*n**2 - 2/3 + u*n.
-2*(n - 1)**2/3
Let 1/3*o**3 + 11/3*o**2 - 20/3 + 8/3*o = 0. Calculate o.
-10, -2, 1
Let f(d) be the first derivative of 25 + 2/15*d + 0*d**2 - 2/45*d**3. Factor f(p).
-2*(p - 1)*(p + 1)/15
Let i(l) = -l**3 - 5*l**2 - 27. Let p be i(-6). Suppose p*x = -38 + 56. Suppose 1/2*y**5 - 2*y**3 + 0*y**4 + 3/2*y + y**x - 1 = 0. What is y?
-2, -1, 1
Let p(z) be the second derivative of -z**5/140 - z**4/12 - z**3/3 - 4*z**2/7 - z + 86. Factor p(s).
-(s + 1)*(s + 2)*(s + 4)/7
Let x be 0/12 + (-2 - -22). Let l be 15/(-25) - (-17)/x. Solve -l*g**3 + 0 + 0*g + 1/2*g**2 = 0 for g.
0, 2
Let o(l) be the third derivative of -l**6/72 + l**5/24 - 3*l**3/2 - 6*l**2. Let f(g) be the first derivative of o(g). Solve f(n) = 0 for n.
0, 1
Determine h so that -311*h**3 - 3*h**5 + 349*h**3 - 5*h**5 + 14*h**2 + 10*h**4 - 6*h = 0.
-1, 0, 1/4, 3
Let p be (13 - 40)/27*-2*3/5. Suppose 2/5*z**2 + p + 2/5*z**3 - 2*z = 0. What is z?
-3, 1
Let z be 2*(15/(-6) + 3). Let a be 192/36*z/12. Let 8/9*v**2 - 4/9*v**3 - 2/3*v**4 - 2/9 + a*v**5 + 0*v = 0. Calculate v.
-1, -1/2, 1
Let b(g) be the third derivative of g**5/60 + 31*g**4/4 + 2883*g**3/2 - 2*g**2 + 10. Factor b(c).
(c + 93)**2
Factor -26*o**3 + 25*o**4 - 60*o - 16 - 94*o**3 - 15 + 175*o**2 + 11.
5*(o - 2)**2*(o - 1)*(5*o + 1)
Let g = 364 - 364. Let r(t) be the second derivative of g*t**2 + 0 - 1/10*t**5 + 1/21*t**7 - 1/15*t**6 + 0*t**3 - 7*t + 1/6*t**4. Suppose r(v) = 0. Calculate v.
-1, 0, 1
Let t be (1/((-5)/2))/(-1). Let a(p) = -p**2 + 23*p + 520. Let y be a(-14). Factor 2/5*h**3 + 1/5*h**y - 1/5 - t*h.
(h - 1)*(h + 1)*(2*h + 1)/5
Let c = 1757/2 + -878. Factor -c*s**2 - 2*s - 2.
-(s + 2)**2/2
Let t(m) = -1 - m**2 - 18*m + 17*m + 0. Let b(h) be the second derivative of -2*h**4 - 19*h**3/3 - 27*h**2 + 2*h. Let r(k) = -2*b(k) + 44*t(k). Factor r(z).
4*(z + 4)**2
Let h(b) 