mine y, given that -3/7*y**4 - 24/7*y**3 - 66/7*y - 9*y**2 - 24/7 = 0.
-4, -2, -1
Let 8464 - 24*l + 213*l + 16*l + 163*l + 4*l**2 = 0. Calculate l.
-46
Factor -3*b - 13*b**2 - 14*b**2 + 26*b**2 - 2.
-(b + 1)*(b + 2)
Let r(k) = k - 2*k**2 - k**3 - 2*k**3 + 120 - 113. Let f(z) = -z**3 - z**2 + 2. Let h(x) = -7*f(x) + 2*r(x). Factor h(j).
j*(j + 1)*(j + 2)
Let h = 54 + -38. Find x, given that -4 + 5*x + h*x**2 + 4 - 4 + 7*x = 0.
-1, 1/4
Let t(g) be the third derivative of 1/27*g**5 + 0 + 0*g + 18*g**2 + 1/9*g**4 + 0*g**3 - 1/270*g**6. Factor t(q).
-4*q*(q - 6)*(q + 1)/9
Let w(h) be the first derivative of h**7/147 - 2*h**6/105 + h**5/70 - 38*h - 12. Let n(s) be the first derivative of w(s). Factor n(a).
2*a**3*(a - 1)**2/7
Let u(z) be the first derivative of z**6/15 - 124*z**5/5 + 3844*z**4 - 953312*z**3/3 + 14776336*z**2 - 1832265664*z/5 - 456. Factor u(c).
2*(c - 62)**5/5
Let v = -2/3 + 16/15. Let w(t) be the second derivative of -4*t + v*t**2 + 0 + 0*t**3 - 1/60*t**4. Factor w(a).
-(a - 2)*(a + 2)/5
Factor 0*w**5 + 1460*w**2 + 52*w**4 - 1460*w**2 + 3*w**5 + w**5 - 120*w**3.
4*w**3*(w - 2)*(w + 15)
Let p be 72/(-8 - 1) + 15. Let r(o) be the third derivative of 0*o**6 - 1/112*o**8 + 0*o**3 + 1/35*o**p + 0 + 0*o + 1/8*o**4 - 1/10*o**5 - 7*o**2. Factor r(w).
-3*w*(w - 1)**3*(w + 1)
Let x be (3 - -26 - -3)/(1 + 1). Factor 19*y + x*y - 15*y**2 - 15*y - 5.
-5*(y - 1)*(3*y - 1)
Let g(i) = -2*i**2 - i - 3. Let p(r) = -5*r**2 - 5. Let j(k) = 5*g(k) - 3*p(k). Let b(a) = -a**2 + a. Let d(q) = 26*b(q) + 6*j(q). Suppose d(f) = 0. What is f?
0, 1
Let l(j) be the second derivative of -3*j**5/100 - 4*j**4/15 - j**3/10 + j**2 + 256*j. Factor l(y).
-(y + 1)*(y + 5)*(3*y - 2)/5
Let j = -77/15 + 25/3. Factor j*u**2 + 38/5*u + 12/5 - 2*u**3.
-2*(u - 3)*(u + 1)*(5*u + 2)/5
Suppose -6*q + 109 + 29 = 0. Let h = q - 18. Determine v so that 0 + 1/4*v**3 + 0*v**2 + 0*v + 0*v**4 - 1/4*v**h = 0.
-1, 0, 1
Let v = 77 + -80. Let s be 2 - (v - (-8 + 5)). Solve -o - 1/2*o**s - 1/2 = 0 for o.
-1
Let z(s) be the second derivative of s**5/60 - 11*s**4/36 + 10*s**3/9 + 16*s**2/3 + 323*s. Factor z(p).
(p - 8)*(p - 4)*(p + 1)/3
Let v(q) be the second derivative of q**6/30 - q**5/30 - q**4/3 + 4*q**3/9 + 9*q - 2. Suppose v(d) = 0. What is d?
-2, 0, 2/3, 2
Let z = 3558 + -17787/5. Factor -z*q**3 + 27/5*q - 9/5*q**2 - 3.
-3*(q - 1)**2*(q + 5)/5
Factor -6*u - 3*u**2 + 6*u**2 - u**2 + 144 - 8*u - 20*u.
2*(u - 9)*(u - 8)
Let j(c) be the second derivative of c**5/80 + c**4/6 - c**3/24 - c**2 + 10*c - 1. Factor j(y).
(y - 1)*(y + 1)*(y + 8)/4
Let b(n) be the third derivative of -2*n**7/735 + n**6/15 - 4*n**5/35 - n**4/3 + 26*n**3/21 - 816*n**2. Let b(o) = 0. What is o?
-1, 1, 13
Let g(f) be the first derivative of -3*f**5/40 - 15*f**4/32 - f**3 - 3*f**2/4 + 82. Factor g(n).
-3*n*(n + 1)*(n + 2)**2/8
Let i = -30 + 69. Suppose -5*a + i = 3*z, -5*z = 2*a + 3*a - 55. What is d in -8*d + z - 9*d**2 - 14*d + 7*d - 2 = 0?
-2, 1/3
Suppose 20 = 4*z + z. Suppose -r + 3*m = -z*r + 111, -3*m + 69 = 2*r. Solve 43*q - r*q**2 - 4 - 75*q - 18*q**3 - 4 = 0.
-1, -2/3
Let q be ((-110)/(-15))/11*2/(-8)*-8. Find y such that -5/3 + q*y + 1/3*y**2 = 0.
-5, 1
Let x = -472 + 795. Let b = -321 + x. Let 6 - 3/2*d**b + 0*d = 0. What is d?
-2, 2
Suppose 5*l - 4*l - 2*r - 17 = 0, 3*l - 3*r - 63 = 0. Find p, given that 10*p**4 + 34*p**2 - l*p**3 - 14*p**2 + 6 - 6 - 5*p = 0.
0, 1/2, 1
Let v = -253 + -44. Let t be (-20)/(-11) - 2 - 846/v. Suppose -16/3*b**4 + 7/3*b**5 + 62/3*b**2 - 44/3*b + t - 17/3*b**3 = 0. Calculate b.
-2, 2/7, 1, 2
Let n(x) = 4*x**2 - 146*x + 736. Let z be n(6). Determine b so that 32/7*b + 16/7*b**3 - 2/7*b**z - 10/7 - 36/7*b**2 = 0.
1, 5
Let d = 12 + -7. Suppose 0 = -4*y + a + 24, -3*y + d*a = 3 - 38. Solve 293*j - 293*j + j**2 - j**4 + j**3 - j**y = 0 for j.
-1, 0, 1
Let m(o) be the second derivative of o**4/42 - 50*o**3/21 - 51*o**2/7 + 4*o + 8. Let m(b) = 0. What is b?
-1, 51
Let g(m) be the second derivative of -3*m**5/110 - 5*m**4/22 + 6*m**3/11 - 605*m. Solve g(u) = 0 for u.
-6, 0, 1
Suppose 5*h + 3*t - 717 = -0*t, -4*t = 4*h - 580. Factor -125*z + 88*z**2 + 162*z**4 + 54*z**5 + h*z + 174*z**3 + 6*z**3.
2*z*(z + 1)*(3*z + 2)**3
Determine x, given that -3/7*x**5 + 6/7*x**2 - 27/7 + 45/7*x - 6*x**3 + 3*x**4 = 0.
-1, 1, 3
Let d be (-1)/(-1 + (-15)/(-18)). Factor -j**3 + j**3 + j**3 - d*j**3.
-5*j**3
Let x(m) = -2*m**2 + 12*m - 1. Let c(p) = -p**2 + 6*p - 1. Let i(g) = 11*c(g) - 6*x(g). Let y be i(7). Factor 0*z**3 - 1/3*z**4 + 1/3*z**y + 0 + 0*z.
-z**2*(z - 1)*(z + 1)/3
Let n(y) be the first derivative of y**5/210 - y**4/84 + 15*y**2/2 - 11. Let u(f) be the second derivative of n(f). Factor u(z).
2*z*(z - 1)/7
Determine r so that r**4 + 64*r**2 - 51*r - 84*r - 9*r + 23*r**3 + 56*r**2 = 0.
-12, 0, 1
Let b(i) be the first derivative of 8/5*i - 2/15*i**3 + 0*i**2 + 3. Factor b(d).
-2*(d - 2)*(d + 2)/5
Let h(d) = -2*d**3 - d**2 - 2*d + 5. Let q be h(-3). Let v be q/3 + (-46 - -44). Factor -20/3*o + v + 2/3*o**2.
2*(o - 5)**2/3
Determine c, given that -9*c**4 - 29*c - 3*c**2 - 150*c**2 - 18*c**4 - 36 - 93*c**3 - 3*c**5 - 91*c = 0.
-3, -2, -1
Let u(y) be the first derivative of -y**6/12 + 9*y**5/10 - 5*y**4/8 - 29*y**3/6 + 21*y**2/2 - 8*y + 222. Suppose u(c) = 0. What is c?
-2, 1, 8
Let f(l) be the third derivative of 0 - 29*l**2 + 0*l**3 + 27/20*l**5 + 1/210*l**7 + 0*l - 3/20*l**6 + 0*l**4. Factor f(u).
u**2*(u - 9)**2
Let h(g) be the first derivative of g**3/7 - 39*g**2/7 - 196. Factor h(i).
3*i*(i - 26)/7
Suppose 77 + 45 = 61*d. Factor 0 - 5/3*a - 1/3*a**3 - d*a**2.
-a*(a + 1)*(a + 5)/3
Let r(f) be the first derivative of -2*f - 16 + 3/2*f**2 - 1/3*f**3. What is u in r(u) = 0?
1, 2
Let c = 31/180 + -1/180. Let u(l) be the third derivative of -1/30*l**5 + 0*l + 0 - 5/48*l**4 - c*l**3 - 1/240*l**6 - 6*l**2. Factor u(x).
-(x + 1)**2*(x + 2)/2
Suppose -2*h - 16 = -h. Let r = h - -20. Factor 16*q - r*q**2 - 8*q + 12 + 0*q**2.
-4*(q - 3)*(q + 1)
Let g(c) be the first derivative of -2*c**2 + 1 - 2/3*c**3 + 1/30*c**5 + 0*c - 1/12*c**4. Let y(s) be the second derivative of g(s). Factor y(d).
2*(d - 2)*(d + 1)
Let o(i) = -5*i**2 + 11*i. Let a(q) be the second derivative of q**4/3 - 5*q**3/3 - 8*q. Let g(h) = -3*a(h) - 2*o(h). Solve g(n) = 0.
0, 4
Let y = 1016/505 - 82/101. Determine b so that 3/5*b + 3/5*b**2 - y = 0.
-2, 1
Factor 123*a + 118*a - 199*a + 15*a**2 - 3*a**3.
-3*a*(a - 7)*(a + 2)
Let b(p) be the first derivative of p**6/4 - 15*p**5/2 + 213*p**4/4 + 97*p**3 - 429*p**2/4 - 507*p/2 - 322. Suppose b(w) = 0. What is w?
-1, 1, 13
Factor 22/7*x**2 + 120/7 - 2/7*x**3 + 16*x.
-2*(x - 15)*(x + 2)**2/7
Let v(c) be the first derivative of -4/3*c**3 + 4*c**2 - 4*c + 5. Factor v(f).
-4*(f - 1)**2
Suppose -41*j - 5 = -42*j. Let c(z) be the first derivative of 1/4*z**4 - 1/2*z**2 + z - 1/3*z**3 + j. Factor c(f).
(f - 1)**2*(f + 1)
Let p be 0/((36/(-24))/((-4)/16*6)). Let -2*t**2 + p - 2/5*t = 0. What is t?
-1/5, 0
Let l be 1 - 6/(-4)*2. Suppose -x + u - 3 = -2*x, -l*x + 15 = u. Suppose -1/7*f**5 + 2/7*f**3 + 0 + 0*f**x + 0*f**2 - 1/7*f = 0. Calculate f.
-1, 0, 1
Let q(a) be the third derivative of a**5/180 - a**4/72 - a**3/3 - 12*a**2 - a. Let q(s) = 0. Calculate s.
-2, 3
Let h = -111 - -116. Let 19/2*z**2 - 25/4*z**3 - 1/4*z**h + 2*z**4 + 2 - 7*z = 0. What is z?
1, 2
Let i(x) be the second derivative of -x**6/5 + x**5 + 17*x**4/6 - 16*x**3 - 36*x**2 - 46*x. Determine t, given that i(t) = 0.
-2, -2/3, 3
Suppose 0 = -5*k + 3*p + 16, -7 - 1 = k + 5*p. Determine x so that -2*x**2 + k*x - 139 + 139 = 0.
0, 1
Let u(n) = 6*n - 99. Let y be u(17). Let 9/2*z - y - 3/2*z**2 = 0. What is z?
1, 2
Let c(y) be the second derivative of -y**4/12 + 7*y**3/3 - 49*y**2/2 + 5*y - 9. Factor c(n).
-(n - 7)**2
Let i(u) be the second derivative of 0*u**2 - 1/2*u**5 + 0 - 1/6*u**6 - 5/12*u**4 + 3*u + 0*u**3. Suppose i(q) = 0. What is q?
-1, 0
Suppose -5*y + 6 + 4 = -4*u, -2*u + y - 2 = 0. Let s be (-3 + u)/((-15)/70). Solve -164*k**3 - s*k + 205*k**2 + 24*k**4 - 74*k + 12 + 11*k**4 = 0.
2/7, 2/5, 1, 3
Let a(s) be the third derivative of -s**5/120 + s**4/24 + 4*s**3 - 103*s**2. Factor a(x).
-(x - 8)*(x + 6)/2
Let z(o) be the first derivative of o**3/3 + 35*o**2/2 - 36*o + 313. Factor z(m).
(m - 1)*(m + 36)
Let y(k) be the third deriv