 = y*p(z) - 6*a(z). What is i in t(i) = 0?
-1, 8
Factor -26*c**2 - 5*c**3 - 29 - 85*c + 2 - 23 - 14*c**2 + 0.
-5*(c + 1)*(c + 2)*(c + 5)
Let u = -28 + 30. Determine i so that -5*i**3 - 6*i**2 + 14*i**2 - 10*i**u = 0.
-2/5, 0
Find y, given that -4/5 - 32/5*y - 64/5*y**2 = 0.
-1/4
Let a = -27251/4 + 6813. Factor 1/2*x**2 + a - 3/4*x.
(x - 1)*(2*x - 1)/4
Let z = -96269/6 - -16045. Factor 0 + z*t**4 + 1/6*t + 1/2*t**2 + 1/2*t**3.
t*(t + 1)**3/6
Find d such that -16*d**3 + 12*d**2 + 35*d**5 - 179*d - 12*d**4 + 101*d - 37*d**5 + 96*d = 0.
-3, -1, 0, 1
Let n(m) = -m**2 + 3*m + 2. Let v be n(4). Let k be 3/2 + v/(80/52). Find a such that 0 + 3/5*a**2 - 2/5*a - 3/5*a**4 + k*a**5 + 1/5*a**3 = 0.
-1, 0, 1, 2
Let w(v) = -5*v**2 + v. Let j(f) = -9*f**2 + 3*f + 1. Let c(d) = -6*j(d) + 11*w(d). Let l(r) = -r**2 - 9*r - 7. Let z(a) = 7*c(a) - 6*l(a). Factor z(n).
-n*(n - 5)
Solve -180/7*y + 3/7*y**2 - 372/7 = 0 for y.
-2, 62
Let v(y) be the second derivative of 3*y**4/20 + 8*y**3/5 - 18*y**2/5 + 52*y. Factor v(f).
3*(f + 6)*(3*f - 2)/5
Let i(j) be the third derivative of 0*j**3 + 0*j**4 + 1/210*j**7 - 1/30*j**5 + 0 + 16*j**2 + 1/120*j**6 + 0*j. Factor i(v).
v**2*(v - 1)*(v + 2)
Let m be 80/(-24) + (8 - (-1 - -5)). Factor -4/3*a + m*a**2 + 0.
2*a*(a - 2)/3
Let f(o) be the second derivative of o**4/4 - 7*o**3 + 147*o**2/2 + o + 48. Factor f(y).
3*(y - 7)**2
Let t(x) = 22*x**3 + 79*x**2 + 69*x + 18. Let k be (-32)/(-8)*1/(-1). Let g(v) = -65*v**3 - 236*v**2 - 207*v - 54. Let n(s) = k*g(s) - 11*t(s). Factor n(b).
3*(b + 3)*(2*b + 1)*(3*b + 2)
Solve -16/5*u**2 - 6/5*u**3 + 8/5*u + 0 + 18/5*u**4 = 0.
-1, 0, 2/3
Let s = 42361/3 + -14119. Find k, given that -s*k + 2/3 + 2/3*k**2 = 0.
1
Let y be (40/150)/((-28)/(-10)). Let t(k) be the third derivative of 0*k - y*k**3 + 0 + k**2 - 1/210*k**5 - 1/28*k**4. Find i such that t(i) = 0.
-2, -1
Solve 0 + 0*l - 1/4*l**3 + l**2 = 0 for l.
0, 4
Let q = 67 + -67. Let p = q + 6. Determine j so that p*j**2 - 23*j**3 - 1/2*j - 25/2*j**5 + 30*j**4 + 0 = 0.
0, 1/5, 1
Let g(u) = 10*u + 8*u + 12 - 25*u + 9*u. Let y be g(-5). Factor 0 + 2/3*l**3 + 2/3*l - 4/3*l**y.
2*l*(l - 1)**2/3
Let x(v) be the second derivative of -3/20*v**5 - 9*v + 1/5*v**6 + 0*v**4 + 0*v**3 + 0*v**2 + 0 - 1/14*v**7. Find u, given that x(u) = 0.
0, 1
Let b = 5 + -16. Let y = b - -16. Let 207*t**5 - 238*t**4 + 56*t**y + 76*t**3 - 18*t**5 - 8*t**2 = 0. Calculate t.
0, 2/7, 2/5
Let j be ((-5)/24*-2)/((-1245)/(-2241)). Determine f so that -1/4*f + 1/4*f**3 + j*f**2 - 1/2 - 1/4*f**4 = 0.
-1, 1, 2
Let x(o) be the third derivative of o**6/84 + 34*o**5/105 + 31*o**4/12 - 14*o**3/3 - o**2 + 5. Factor x(b).
2*(b + 7)**2*(5*b - 2)/7
Let y(j) be the third derivative of -j**7/2100 + j**6/450 + j**5/100 - 17*j**3/3 + 10*j**2. Let s(r) be the first derivative of y(r). Factor s(m).
-2*m*(m - 3)*(m + 1)/5
Let t(u) be the second derivative of u**5/270 - 4*u**3/27 + 17*u**2/2 + 16*u. Let k(v) be the first derivative of t(v). Determine s, given that k(s) = 0.
-2, 2
Let t be 21/56*(-160)/(-150). Factor -1/5*n**4 - t + 3/5*n**2 - 1/5*n + 1/5*n**3.
-(n - 2)*(n - 1)*(n + 1)**2/5
Let r(p) = 11*p**2 - 74*p - 16. Let z be r(7). Solve -9/7*d**3 + 3/7*d**z - 3/7*d**2 + 6/7*d + 3/7*d**4 + 0 = 0 for d.
-2, -1, 0, 1
Let x(v) = -2*v**3 - 25*v**2 + 41*v - 7. Let b(y) = y**3 + 25*y**2 - 38*y + 6. Let j(c) = 7*b(c) + 6*x(c). Factor j(l).
-5*l*(l - 4)*(l - 1)
Let d(x) be the third derivative of 0*x + 20*x**2 - 16/315*x**7 + 0 + 1/6*x**5 + 1/9*x**3 + 2/9*x**4 - 2/45*x**6. Let d(q) = 0. What is q?
-1, -1/4, 1
Let r(z) be the third derivative of -z**5/210 - 17*z**4/84 - 16*z**3/21 + 15*z**2. Factor r(p).
-2*(p + 1)*(p + 16)/7
Let t(r) be the third derivative of r**9/15120 - r**7/420 + r**6/90 - r**5/60 + 4*r**2. Let g(k) be the third derivative of t(k). Solve g(m) = 0.
-2, 1
Let m be 4*(3 + 10/(-4)). Suppose -5*j + 3*a - 12 = 0, m*j - 1 = 4*a - 17. Factor -3/2 + 3/2*h**2 + j*h.
3*(h - 1)*(h + 1)/2
Let h(c) be the third derivative of c**6/120 - c**5/12 + 14*c**2 - 5*c. Factor h(a).
a**2*(a - 5)
Let p(m) be the third derivative of m**6/180 + 19*m**5/90 + 35*m**4/36 + 17*m**3/9 - m**2 - 9*m. Let p(l) = 0. Calculate l.
-17, -1
Let o = -20 - -22. Solve 21*l - 9*l**o - 80 + 4*l**2 + 19*l = 0 for l.
4
Let c = -6 + 8. Suppose -2*z**5 - 2*z + 11*z**2 - 3*z**4 - 8*z**c - 2*z**5 + z**3 + 5*z**5 = 0. What is z?
-1, 0, 1, 2
Let p(b) be the second derivative of b**7/42 - b**6/5 + 2*b**5/5 + b**4/2 - 3*b**3/2 - 348*b. Factor p(w).
w*(w - 3)**2*(w - 1)*(w + 1)
Let v(y) = -4*y**2 + 51*y + 5. Let o(f) = 2*f**2 - 26*f - 2. Let u(s) = 5*o(s) + 2*v(s). Determine k, given that u(k) = 0.
0, 14
Suppose 0 = 5*q - 6 + 106. Let m be 26/(-65) - 18/q. Suppose m + 1/2*g**2 - g = 0. Calculate g.
1
What is n in -12/5*n + 0 - 1/5*n**5 - 29/5*n**3 - 32/5*n**2 - 2*n**4 = 0?
-6, -2, -1, 0
Let u = -83 - -86. Suppose 23*z**2 + 2*z**4 + 5*z - 2*z**u - 3*z - 25*z**2 = 0. What is z?
-1, 0, 1
Let c be (-10 - -20) + -21 + 13. Suppose 24/5*k**3 - 48/5*k**c + 0*k + 0 - 3/5*k**4 = 0. Calculate k.
0, 4
Let j(a) be the first derivative of 5*a**4/4 - 10*a**3/3 - 15*a**2/2 + 50. Factor j(v).
5*v*(v - 3)*(v + 1)
Let v(g) be the third derivative of 2*g**7/21 - 9*g**6/10 - 10*g**5 - 58*g**4/3 + 48*g**3 + 3*g**2 - 3*g. Factor v(w).
4*(w - 9)*(w + 2)**2*(5*w - 2)
Let o(d) be the third derivative of -d**7/42 + d**6/2 - 13*d**5/3 + 20*d**4 - 160*d**3/3 - 46*d**2. Factor o(x).
-5*(x - 4)**2*(x - 2)**2
Let l(q) be the third derivative of -1/4*q**4 + 1/10*q**5 + 4*q**2 - 1/60*q**6 + 0 + 1/3*q**3 + 0*q. Let l(x) = 0. What is x?
1
Suppose -8*p + 35 + 5 = 0. Suppose -p*h - h + 30 = 0. Factor 0*m**2 - 2/7*m**4 - 2/7*m**h + 4/7*m**3 + 0*m + 0.
-2*m**3*(m - 1)*(m + 2)/7
Let m(n) = 4*n**2 - 44*n - 126. Let b(z) = 2*z - 1. Let d(p) = -6*b(p) - m(p). Find f, given that d(f) = 0.
-3, 11
Suppose -2*l + 68 = 58. Let k(i) be the first derivative of 0*i + 0*i**2 - 3/20*i**4 + 6 + 0*i**3 + 3/25*i**l. Factor k(d).
3*d**3*(d - 1)/5
Factor -91*t**2 + 167*t**2 - 20 - 75*t**2 + 4 - 15*t.
(t - 16)*(t + 1)
Let a(v) be the first derivative of -v**4/26 + 6*v**3/13 - 14*v**2/13 + 78. Factor a(c).
-2*c*(c - 7)*(c - 2)/13
Factor 133563/2*a + 1/2*a**3 + 633/2*a**2 + 9393931/2.
(a + 211)**3/2
Suppose 3*x - 9*t - 60 = 0, -2*t - 16 = -296*x + 294*x. Let 1/3*j + 1/9*j**x - 2/9 + 1/9*j**4 - 1/3*j**3 = 0. What is j?
-1, 1, 2
Let k(j) = -j**2 + 15*j + 2. Let t be k(15). Factor -c**3 + 2*c**t + 7*c + 5*c - 13*c.
-c*(c - 1)**2
Suppose -2*k + 28 = n, 3*k + 3*n = -n + 32. Let 20*y - 5*y**2 - k*y**3 + 13*y**2 - 8 - 8*y + 4*y**5 = 0. What is y?
-2, -1, 1
Let j = -2231/7 - -323. Determine b, given that 8*b**3 - 4/7 - 72/7*b**2 + j*b = 0.
2/7, 1/2
Let d(h) be the second derivative of h**5/210 - h**4/42 - 4*h**3/63 - 13*h - 2. Suppose d(t) = 0. Calculate t.
-1, 0, 4
Let g = -3574 + 3574. Determine j so that 0*j**2 + 0*j - 3/7*j**4 + 0 + g*j**3 = 0.
0
Let a(j) be the first derivative of -14/27*j**3 - 5/3*j**2 - 2*j - 1/18*j**4 - 6. Determine m, given that a(m) = 0.
-3, -1
Factor 11/10*d + 3/5 + 3/10*d**2 - 3/10*d**3 - 1/10*d**4.
-(d - 2)*(d + 1)**2*(d + 3)/10
Let f(l) be the third derivative of l**4/24 + l**3/2 - 12*l**2. Let p be f(0). Suppose 0 + 2/5*k**p - 2/5*k**2 - 4/5*k = 0. Calculate k.
-1, 0, 2
Let k(n) = -n**2 + 22*n + 4. Let d be k(22). Factor -70*r**2 - 12*r**4 + 70*r**2 - d*r**3 - 8*r**5.
-4*r**3*(r + 1)*(2*r + 1)
Solve k**4 + k**5 + 5*k - 4*k**4 - k**2 - 13*k + 13*k**2 - 2*k**3 = 0.
-2, 0, 1, 2
Let a(d) be the second derivative of d**7/42 + d**6/15 - d**4/6 - d**3/6 + 812*d. Factor a(f).
f*(f - 1)*(f + 1)**3
Let d(z) be the third derivative of -1/600*z**6 - 1/1050*z**7 + 0 - 1/40*z**4 - 38*z**2 + 0*z + 1/60*z**5 + 0*z**3. Factor d(s).
-s*(s - 1)**2*(s + 3)/5
Suppose -5735339/5*f**3 - 192246/5*f**2 - 8/5 - 2148/5*f = 0. Calculate f.
-2/179
Let f = -4276/603 - -490/67. Determine j, given that -10/9 - 4/3*j - f*j**2 = 0.
-5, -1
Let q(j) be the second derivative of j**5/5 + 11*j**4/3 - 8*j**3 - 238*j. Factor q(d).
4*d*(d - 1)*(d + 12)
Let b be -2*(25/(-2))/5. Let t(m) be the third derivative of -1/20*m**b - 3*m**2 + 1/8*m**6 + 0*m - 1/112*m**8 + 1/70*m**7 - 2*m**3 + 0 - m**4. Factor t(d).
-3*(d - 2)**2*(d + 1)**3
Let x(v) be the second derivative of -5*v + 1/36*v**4 + 4/9*v**3 + 0 + 8/3*v**2. S