*y - 1/12*y**x - 1/9*y**3 - 5. Find k, given that l(k) = 0.
-1, 0
Let f(o) be the second derivative of 2/3*o**3 - 1/3*o**4 - 2/5*o**5 - 2*o + 0 + 0*o**2. Let f(k) = 0. Calculate k.
-1, 0, 1/2
Let x = 84787/169566 + -2/84783. Let 1/2*j - x*j**2 + 1 = 0. What is j?
-1, 2
Let b = 94 + -54. Let x be (4/(-30))/((-20)/b). Solve 2/15*v**4 + 0*v + 2/15*v**2 + 0 + x*v**3 = 0 for v.
-1, 0
Factor -5/2*z - 4 - 1/4*z**2.
-(z + 2)*(z + 8)/4
Let n(d) be the third derivative of -5*d**8/56 - 13*d**7/70 + 43*d**6/40 - 23*d**5/20 + 3*d**4/8 + 8*d**2 + 8. What is t in n(t) = 0?
-3, 0, 1/5, 1/2, 1
Let h be (-6)/(-4)*16/72. Let g(b) be the first derivative of h*b**3 + 3/2*b**2 + 2*b - 1. Factor g(m).
(m + 1)*(m + 2)
Suppose -94*l + 97*l + 15 = 4*o, -2*o = 5*l + 25. Let z(h) be the second derivative of o + 11*h + 0*h**2 + 1/12*h**4 + 2/3*h**3. Factor z(m).
m*(m + 4)
Let z(y) be the third derivative of -y**6/210 - 13*y**5/105 - 2*y**4/7 + 60*y**2 + 1. Factor z(q).
-4*q*(q + 1)*(q + 12)/7
Let w(t) = -36*t**4 - 226*t**3 - 506*t**2 + 284*t + 16. Let q(k) = 7*k**4 + 45*k**3 + 101*k**2 - 57*k - 3. Let o(s) = 16*q(s) + 3*w(s). Factor o(c).
2*c*(c + 5)*(c + 6)*(2*c - 1)
Let r(s) = s**3 - 43*s**2 - 89*s - 39. Let g(o) = -10*o**3 + 475*o**2 + 980*o + 430. Let z(d) = -6*g(d) - 65*r(d). Factor z(h).
-5*(h + 1)**2*(h + 9)
Suppose -5*a = 2*s - 74, a - 117 = -3*s - 19. Solve 4*d**5 - 24*d**4 - 40*d**5 + 24*d**2 + 0*d + s*d**3 + 5*d - d = 0.
-1, -1/3, 0, 1
Determine h, given that 0 - 1/10*h**3 + 0*h + 1/10*h**2 = 0.
0, 1
Let r(l) be the second derivative of -2*l**6/15 + 2*l**5/5 + 3*l**4 - 4*l**3/3 - 16*l**2 - 43*l. Find m, given that r(m) = 0.
-2, -1, 1, 4
Let o(l) be the third derivative of 1/105*l**7 + 2*l**2 + 0*l + 1/3*l**3 + 0*l**4 + 0*l**6 - 1/15*l**5 + 0. Solve o(x) = 0 for x.
-1, 1
Suppose -3*p - 5*c + 4 = 0, -5*p - 5*c = -11 + 1. Suppose -p*q = -4*m + 14, -2*q + 0*q = -3*m + 11. Factor 0*x**2 + 2/7*x**3 + 0*x + 4/7*x**4 + 0 + 2/7*x**m.
2*x**3*(x + 1)**2/7
Factor 5/3*j**2 + 4/3*j**3 - 4/3*j - 3/2 - 1/6*j**4.
-(j - 9)*(j - 1)*(j + 1)**2/6
Let i = 124 + 251. Let 153*r**3 - 148*r**3 + 75*r**2 - 135 + 760 + i*r = 0. What is r?
-5
Let x(f) = -10*f**5 - 22*f**4 + 24*f**3 + 28*f**2 - 26*f + 30. Let g(c) = c**5 + c**3 - 2*c**2 - c - 1. Let p(o) = 12*g(o) + x(o). Factor p(s).
2*(s - 9)*(s - 1)**3*(s + 1)
Let k = 14817/5 + -2963. Determine t, given that 2/5*t + 4/5 - k*t**2 = 0.
-1, 2
Suppose b - f = 15, 7*b + f = 12*b - 87. Let r be (20 - b) + (-11)/7. Factor -12/7*n**2 - 6/7 + 15/7*n + r*n**3.
3*(n - 2)*(n - 1)**2/7
Let q be ((-22)/33 - (-5)/3)/((-4)/(-8)). Factor -84/5*z + 12/5 + 147/5*z**q.
3*(7*z - 2)**2/5
Let h = 193 + -189. Suppose 4*b + 22 = 9*b - h*k, -k - 3 = 0. Find l, given that -8/9*l + 2/9*l**3 - 2/9*l**4 + 4/3*l**b - 16/9 = 0.
-2, -1, 2
Suppose -4*n = -5*b + 5, -30*n = -2*b - 25*n - 15. Solve 0*h - 9/7*h**4 + 3/7*h**3 - 3/7*h**b + 0 + 9/7*h**2 = 0 for h.
-3, -1, 0, 1
Suppose 0 = 67*b + 79*b - 177*b + 62. Let -1/2*u**b + 1 + 1/2*u = 0. Calculate u.
-1, 2
Suppose 130*p - 128*p - 8 = 0. Factor -2/13*z**3 + 6/13*z**p + 0 + 0*z - 4/13*z**2.
2*z**2*(z - 1)*(3*z + 2)/13
Let q be ((-100)/(-175))/(65/35). Factor 0 + q*y**2 + 0*y + 6/13*y**4 - 10/13*y**3.
2*y**2*(y - 1)*(3*y - 2)/13
Suppose -2*w - 1 + 11 = 0. Factor -16 + 2*g**3 + g + 4*g**2 + w*g - 8*g - 6*g.
2*(g - 2)*(g + 2)**2
Let s(w) = -5*w**5 - 3*w**4 + w**3 + 3*w**2 - 4*w + 12. Let m(v) = 6*v**5 + 4*v**4 - 5*v**2 + 4*v - 14. Let q(d) = -4*m(d) - 5*s(d). Let q(r) = 0. Calculate r.
-2, -1, 1, 2
Suppose k + 1 = 8. Suppose 0 = -5*u + 17 - k. Factor 5*w**u + w**2 - 2*w**4 - 3*w**2 - w**2.
-2*w**2*(w - 1)*(w + 1)
Factor 5179 - 2527 + 10*v - 2577 - 5*v**2.
-5*(v - 5)*(v + 3)
Let v(h) = h**2 + 5*h + 2. Let y be v(-5). Let -3*w**3 + w**2 - 10*w**2 - 12*w + 0*w**3 - 3*w**y = 0. What is w?
-2, 0
Let t(u) = 3*u - 21. Suppose 4*i = -3 + 39. Let c be t(i). What is o in -5*o**2 + 0*o**2 + c - 3*o + 2*o**2 = 0?
-2, 1
Let x(t) = -5*t**2 - 1695*t - 20175. Let g(p) = -p**2 - 242*p - 2882. Let j(v) = -15*g(v) + 2*x(v). Factor j(b).
5*(b + 24)**2
Let r(n) = 2*n**2 + 2*n - 1. Let x be r(1). Determine g so that 0 + 1/7*g**x - 2/7*g + 1/7*g**2 = 0.
-2, 0, 1
Factor -2/21*c**2 - 104/7 - 160/21*c.
-2*(c + 2)*(c + 78)/21
Let t(i) be the first derivative of -2*i**5/5 - 6*i**4 + 28*i**3/3 + 12*i**2 - 26*i + 41. Factor t(v).
-2*(v - 1)**2*(v + 1)*(v + 13)
Let q be ((-2 + 2)/(-3))/(-1). Let p(u) be the third derivative of 5/63*u**7 + 0 + 2/45*u**5 + 0*u + 1/9*u**6 - 4*u**2 + q*u**4 + 0*u**3. Factor p(r).
2*r**2*(5*r + 2)**2/3
Let i = 310 - 302. Let d be (-2 - i) + 4 + 9. Factor -1/2 - 3/4*t + 1/4*t**d + 0*t**2.
(t - 2)*(t + 1)**2/4
Let b be (0/((-2)/1))/(-1). Suppose -4*a + 9*a - 70 = b. Determine z so that 15*z**2 + 10*z - a*z**5 - 15*z**4 - 5*z**5 + 14*z**5 - 5*z**3 = 0.
-2, -1, 0, 1
Let w(k) be the third derivative of -k**8/840 - 6*k**7/175 - 119*k**6/300 - 179*k**5/75 - 8*k**4 - 224*k**3/15 - 498*k**2. Solve w(q) = 0.
-7, -4, -2, -1
Let h(m) be the second derivative of m**8/16800 + m**7/6300 + 7*m**4/12 - 11*m. Let g(u) be the third derivative of h(u). What is q in g(q) = 0?
-1, 0
Let d(q) be the first derivative of 1 - 2/5*q**5 - 104/27*q**3 + 8/3*q**4 + 16/9*q**2 + 0*q. Solve d(s) = 0 for s.
0, 2/3, 4
Suppose 1976*j = 1987*j - 110. Let i(n) be the second derivative of 0 - 11/4*n**4 - j*n**3 + 21/4*n**5 + 8*n - 6*n**2. Factor i(t).
3*(t - 1)*(5*t + 2)*(7*t + 2)
Suppose 0 - 2/7*h**4 + 0*h - 2/7*h**5 + 2/7*h**2 + 2/7*h**3 = 0. Calculate h.
-1, 0, 1
Let o = 1244/1045 + 2/209. Let v = -81 + 85. Solve 3/5*t**2 + 9/5*t**3 - o + 3/5*t**v - 9/5*t = 0 for t.
-2, -1, 1
Let f(w) = 19*w**2 - 63*w - 4. Let z(r) = -4*r + 1. Let y(n) = -3*f(n) + 6*z(n). Factor y(l).
-3*(l - 3)*(19*l + 2)
Let a(s) be the third derivative of 0*s**3 - 1/8*s**6 + 1/42*s**7 + 0*s + 0*s**4 + 0 - 16*s**2 + 1/6*s**5. What is l in a(l) = 0?
0, 1, 2
Factor 10/3*l**2 - 4/3*l + 0 + 2/3*l**4 - 8/3*l**3.
2*l*(l - 2)*(l - 1)**2/3
Suppose 25*u**2 - 2047*u**3 + 2052*u**3 + 90*u**2 - 4*u + 214*u = 0. What is u?
-21, -2, 0
Let w be 16/(-2) - -4 - (-64)/34. Let y = 333/85 + w. Find q such that -39/5*q - 9/5*q**3 + 39/5*q**2 + y = 0.
1/3, 1, 3
Let x(k) be the first derivative of -k**3/4 - 9*k**2/8 + 3*k - 48. Factor x(s).
-3*(s - 1)*(s + 4)/4
Let t = -2/921 + 367/27630. Let v(n) be the third derivative of 9*n**2 + 0 + 1/126*n**8 + 1/90*n**6 - 1/45*n**7 + 0*n + t*n**5 + 0*n**4 + 0*n**3. Factor v(c).
2*c**2*(c - 1)**2*(4*c + 1)/3
Let b(u) be the third derivative of -5/24*u**4 + 0*u - 5/3*u**3 + 1/4*u**5 + 0 + 7*u**2. Factor b(d).
5*(d - 1)*(3*d + 2)
Let p(f) = f**2 - 3*f + 1. Let y(u) = -7*u**2 + 29*u - 58. Let a(w) = 40*p(w) + 5*y(w). Factor a(z).
5*(z - 5)*(z + 10)
Let q(l) be the third derivative of -l**6/240 - l**5/10 + l**4/12 + 4*l**3 - l**2 - 237*l. Factor q(z).
-(z - 2)*(z + 2)*(z + 12)/2
Let g(t) be the first derivative of 4*t**5/5 + 4*t**4 + 16*t**3/3 - 64. What is b in g(b) = 0?
-2, 0
Let x = -12417/788 - -3/394. Let p = x + 16. Solve -p*r**2 + 0 + 1/2*r = 0.
0, 2
Let r be -1 - 16/(-4) - -1. Suppose 0 = 2*h + 5*t + r, -5*t + 4 = 4*h - t. Factor -12*d + 264 - 15*d**3 - 24*d**2 - 264 - h*d**4.
-3*d*(d + 1)*(d + 2)**2
Let x = 89/15 - 49/15. Let t(l) be the second derivative of 2*l**4 + 2/15*l**6 + 4/5*l**5 + 2*l**2 + 7*l + 0 + x*l**3. Factor t(r).
4*(r + 1)**4
Let a(l) be the second derivative of l**4/6 - l**2 - 60*l. Factor a(z).
2*(z - 1)*(z + 1)
Let r(w) = -w**4 - 9*w**3 + 12*w**2 + 47*w + 24. Let v(g) = -g**4 - g**3 - g. Let d(h) = -r(h) - 3*v(h). Factor d(y).
4*(y - 2)*(y + 1)**2*(y + 3)
Let u = -587 + 589. Find q, given that 2/19*q**u + 6/19*q + 0 = 0.
-3, 0
Let i(w) be the second derivative of -3*w**5/140 + w**4/7 + 11*w**3/14 - 45*w**2/7 - 10*w + 4. Factor i(u).
-3*(u - 5)*(u - 2)*(u + 3)/7
Let l(z) be the second derivative of -z**6/10 - 9*z**5/5 - 21*z**4/4 - 5*z**3 - 2*z - 12. Factor l(c).
-3*c*(c + 1)**2*(c + 10)
Let b be (0*8/(-56))/((-6)/(-3)). Let x(q) be the third derivative of b - 3/2*q**5 - q**2 + 0*q - 4*q**3 + 9/40*q**6 + 7/2*q**4. What is n in x(n) = 0?
2/3, 2
Let -80/7*z + 96/7 - 2/7*z**3 + 22/7*z**2 = 0. What is z?
3, 4
Suppose 21 + 35 = 2*o - 5*i, 3*i = -4*o + 86. Factor 95*m**5 + 35*m**2 - 37*m**2 - 20*m**5 - 80*m**4 + o*m**3.
m**2*(3*m - 2)*(5*m - 1)**2
Let b(f) 