be (-1)/(-5)*0/(-12). Let b(l) be the third derivative of -1/48*l**4 + 0*l**3 + 0 - 4*l**2 + 1/480*l**6 - 1/240*l**5 + g*l. Find n, given that b(n) = 0.
-1, 0, 2
Let h be -1 - (2 + 12/(-4)). Suppose -2*u + 0*u = h. Factor -1 + u + 3*j**4 + j**2 + 5*j**2 + 8*j**3.
(j + 1)**3*(3*j - 1)
Suppose -f - 11 = -3*r, -22*f + 30*f = -4*r - 32. Suppose -p**r + 1/3*p**3 + p**4 - 2/3*p**5 + 1/3*p + 0 = 0. What is p?
-1, 0, 1/2, 1
Let v be (4 - (-84)/(-21))/(-3). Factor -18/11*s - 2*s**3 + 2/11*s**4 + 38/11*s**2 + v.
2*s*(s - 9)*(s - 1)**2/11
Factor -6*o**2 - 14 + 6 - 6*o**3 + 494*o - 506*o + 5*o**3.
-(o + 2)**3
Suppose -5 + 1 = h. Let x(w) = -w**3 - 4*w**2 + w. Let p(q) = -3*q**3 - 11*q**2 + 3*q. Let r(g) = h*p(g) + 11*x(g). Let r(n) = 0. What is n?
-1, 0, 1
Let -40 + 84*h - 23*h**3 + 27*h**3 + 10*h**2 - 10*h**2 - 48*h**2 = 0. What is h?
1, 10
Let -41/4 - 207/8*p - 5/8*p**2 = 0. Calculate p.
-41, -2/5
Let n(d) be the first derivative of d**3/3 - 10*d**2 + 19*d - 31. Suppose n(a) = 0. Calculate a.
1, 19
Let s be (1/(-3))/(((-26)/21)/13). Factor 1/2 + 9/2*t**2 - 5/2*t + t**4 - s*t**3.
(t - 1)**3*(2*t - 1)/2
Let w be (-8)/(-16)*6/(-1) - -5. Factor 2/5*s**3 + 0 + 2*s**w + 0*s.
2*s**2*(s + 5)/5
Let w = 4669 - 32681/7. What is m in -2/7*m**4 + w*m**2 - 2/7*m**3 + 0 + 2/7*m = 0?
-1, 0, 1
Let b(o) = 2*o**2 + 15*o + 2. Let t be b(-8). Let s be (-4*3/30)/((-11)/t). Find q, given that 26/11*q + 28/11*q**3 + s + 50/11*q**2 = 0.
-1, -1/2, -2/7
Let o = -4 + 9. Let z be -3 - -4 - (-2)/((-42)/(-69)). Find g, given that 8/7*g + 0 + 22/7*g**3 + 32/7*g**2 - 32/7*g**4 - z*g**o = 0.
-1, -2/3, -2/5, 0, 1
Let y = -14 + 18. Factor 7*x**3 - 157*x**y + 2*x**3 + 7*x**2 + 162*x**4 + 2*x + x**5.
x*(x + 1)**3*(x + 2)
Let t(u) be the third derivative of 2/5*u**5 + 2/15*u**6 + 2/105*u**7 + u**2 + 0*u + 2/3*u**3 + 2/3*u**4 + 0. Find r such that t(r) = 0.
-1
Suppose 4*z + 4*a = 68, 0 = 5*a - a - 12. Factor -13*u**2 + 10*u**3 + 30*u - 8*u**3 - 11*u**2 + 6*u**2 - z.
2*(u - 7)*(u - 1)**2
Let p(i) = 10*i + 832. Let m be p(-83). Factor -2/5 - 4/5*g**3 + 2/5*g**m + 1/5*g**5 + 3/5*g + 0*g**4.
(g - 1)**3*(g + 1)*(g + 2)/5
Let j(f) be the second derivative of -f**6/60 - f**5/40 + f**4/6 + f**3/3 + 3*f + 7. Factor j(z).
-z*(z - 2)*(z + 1)*(z + 2)/2
Let m(x) = 2*x**2 + 1. Let w(o) = -5*o**2 - 12*o - 1. Let n(s) = -m(s) - w(s). Factor n(k).
3*k*(k + 4)
Factor -26*w**2 + 160 - 4*w**2 + 10495*w**3 - 10500*w**3.
-5*(w - 2)*(w + 4)**2
Let l be -135 + 147 + 46/(-4). Factor -l*r**3 + 1 + r + 1/4*r**4 - 3/4*r**2.
(r - 2)**2*(r + 1)**2/4
Let h(w) be the first derivative of -2 + 5/2*w**2 + 0*w**3 + 1/270*w**5 + 0*w - 1/54*w**4. Let l(b) be the second derivative of h(b). Find p such that l(p) = 0.
0, 2
Let c be (-4)/(-3) - 13870/57. Let x = 969/4 + c. Factor -3/4 + x*i + 11/4*i**2 + 7/4*i**3.
(i + 1)**2*(7*i - 3)/4
Let j be (-9)/(-15) + 408/120. Let u(b) be the first derivative of -6 + 6/7*b**3 + 1/14*b**j + 27/7*b**2 + 54/7*b. Factor u(h).
2*(h + 3)**3/7
Let r(m) = -2*m + 12. Let s be r(6). Suppose 6*b + 0*b - 36 = s. Factor -5*j + 5*j**2 + 15 - 3*j + b*j - 18*j.
5*(j - 3)*(j - 1)
Let h(b) be the third derivative of 0*b + 1/105*b**7 + 1/30*b**6 + 0*b**4 + 0*b**3 + 0 + 1/30*b**5 - 12*b**2. Factor h(k).
2*k**2*(k + 1)**2
Suppose -c - 4*c = 5*v - 20, -5*v = -4*c - 11. Suppose a = -5*i + 7, i - 6 = -a - v*i. Let 0 + 8/5*h - 4/5*h**a = 0. Calculate h.
0, 2
Let x(y) be the second derivative of 5*y**4/24 + 65*y**3/4 + 185*y**2/2 + 65*y. Determine f so that x(f) = 0.
-37, -2
Let b(s) be the first derivative of -1/3*s**2 + 0*s**3 + 0*s + 1/3*s**4 + 0*s**5 - 1/9*s**6 + 10. Find k such that b(k) = 0.
-1, 0, 1
Factor 2/17*d**2 + 0 + 28/17*d.
2*d*(d + 14)/17
Let q(l) be the first derivative of 3/2*l**2 - 2 - 3/5*l + 9/20*l**4 - 7/5*l**3. Let q(o) = 0. Calculate o.
1/3, 1
Let w = 1463 + -4373/3. Let -w - 20/3*m**2 + 16*m = 0. Calculate m.
2/5, 2
Factor 0 + 16/11*w**4 - 192/11*w**2 - 288/11*w + 16/11*w**3 - 2/11*w**5.
-2*w*(w - 6)**2*(w + 2)**2/11
Let l(i) be the second derivative of 0*i**2 + 31*i + 0*i**3 + 1/90*i**6 + 1/20*i**5 + 0 - 1/9*i**4. Factor l(g).
g**2*(g - 1)*(g + 4)/3
Let t(m) be the first derivative of m**6/12 - 4*m**5 + 73*m**4/8 + 59*m**3/3 - 37*m**2 - 76*m + 53. Find o such that t(o) = 0.
-1, 2, 38
Suppose 10*d = 8*d + 24. Let n be 20/6 + d/(-4). Suppose n*p**2 + 4/3 - 4/3*p = 0. What is p?
2
Let p = 623/9 + -3209/63. Find r, given that -p + 512/7*r + 4*r**3 - 232/7*r**2 = 0.
2/7, 4
Let j(h) = -h**2 + 1. Let y(m) = -2 + 10*m**3 + 8 + 1 - 8 + 32*m + 43*m**2. Let g(o) = 18*j(o) + 2*y(o). Factor g(c).
4*(c + 1)*(c + 2)*(5*c + 2)
Let t be (-7)/9*(-51)/238. Let p(x) be the first derivative of 0*x - 5/3*x**3 + 3/4*x**4 - t*x**6 + 1/5*x**5 - 3 + x**2. Let p(l) = 0. Calculate l.
-2, 0, 1
Let b(o) be the third derivative of -1/240*o**5 + 1/6*o**3 - 21*o**2 + 0*o + 1/32*o**4 + 0. Factor b(w).
-(w - 4)*(w + 1)/4
Suppose -272 = -82*b - 59 + 33. Determine f so that 0*f**2 - 3/5*f**b + 6/5 + 9/5*f = 0.
-1, 2
Let o(u) be the second derivative of u**5/100 + u**4/15 + 2*u**3/15 - 114*u. Factor o(r).
r*(r + 2)**2/5
Let i(l) = -l**2 + 7*l - 5. Let v be i(5). Find g, given that -9 + 3*g + 3*g**2 - g - v*g - 3*g = 0.
-1, 3
Let f(n) be the third derivative of n**6/40 - 9*n**5/10 + 33*n**4/8 - 8*n**3 + 65*n**2. Factor f(j).
3*(j - 16)*(j - 1)**2
Let m(g) = 2*g**2 + 6*g - 14. Let w be m(5). Factor -36 + 3*l**2 + w + 78 - 36*l.
3*(l - 6)**2
Let b(w) be the second derivative of 1/30*w**6 - 1/12*w**4 + 0*w**3 + 0*w**5 + 0*w**2 + 0 - 9*w. Factor b(c).
c**2*(c - 1)*(c + 1)
Find j such that 193*j**3 - 118*j**2 + 25*j - 4*j**4 - 141*j - 40 + j**5 - 240*j**3 = 0.
-2, -1, 10
Let u(t) be the first derivative of t**5/10 - t**4/18 - t**3/3 + t**2/3 + 28*t - 24. Let g(z) be the first derivative of u(z). Find m, given that g(m) = 0.
-1, 1/3, 1
Let l = -43 + 0. Let g = 131/3 + l. Factor g*u**4 + 0 - 2/3*u - 2*u**3 + 2*u**2.
2*u*(u - 1)**3/3
Let v = 41165 - 125126/3. Let k = v - -549. Solve -4/3 - 16/3*t - 8*t**2 - 4/3*t**4 - k*t**3 = 0 for t.
-1
Let f(p) be the second derivative of 49/11*p**2 + 6*p - 14/33*p**3 + 0 + 1/66*p**4. Find m such that f(m) = 0.
7
Let r(x) be the second derivative of -27/14*x**2 + 5/28*x**4 + 0 + 2*x - 3/14*x**3 - 3/140*x**5. Find m such that r(m) = 0.
-1, 3
Suppose -1/2*g**3 + 1/2*g**4 - 15/2*g**2 - 23/2*g - 5 = 0. What is g?
-2, -1, 5
Suppose 0 = 5*y - 13 - 7. Let j be (-1968)/1107*15/(-20). Let -2/3*n**2 - 2/3*n**y + 2*n - 2*n**3 + j = 0. Calculate n.
-2, -1, 1
Let r = 6911/8 - 48361/56. Factor 338/7 + r*w**2 + 52/7*w.
2*(w + 13)**2/7
Let y(p) = 4*p**4 + 3*p**3 - 2*p**2 - 6*p + 7. Let w(z) = 5*z**4 + 3*z**3 - z**2 - 7*z + 8. Let c(g) = 3*w(g) - 4*y(g). Factor c(f).
-(f - 1)**2*(f + 1)*(f + 4)
Let d(s) = -2 + s + 7 - 4*s + 2*s. Let h be d(0). Let -21*l**3 - 7*l**5 + 20*l**2 - 2*l**4 + 8*l**5 - 4*l + 0*l + 6*l**h = 0. Calculate l.
-2, 0, 2/7, 1
Let p(j) be the second derivative of -j**4/42 + 2*j**3/21 - j**2/7 - j - 27. Determine i, given that p(i) = 0.
1
Let i(x) = 16 - x**2 + 0*x + 4*x**3 - 2*x**3 - x**3 + x. Let y be i(0). Factor y*a**2 - 17*a**2 + 2*a - a.
-a*(a - 1)
Let w(c) be the first derivative of c**3/12 - 45*c**2/4 + 1. Factor w(j).
j*(j - 90)/4
Let y(f) be the second derivative of 13*f**5/90 + 25*f**4/27 + 31*f**3/27 - 2*f**2/3 - f - 71. Factor y(c).
2*(c + 1)*(c + 3)*(13*c - 2)/9
Let h(x) be the second derivative of 0 + 0*x**3 + 0*x**2 + 38*x + 18/5*x**6 + 4/27*x**4 + 27/7*x**7 + 6/5*x**5. Factor h(f).
2*f**2*(9*f + 2)**3/9
Factor l**2 - 5/2 + 9/2*l.
(l + 5)*(2*l - 1)/2
Let t(g) = -191*g**2 + 169*g - 23. Let a(m) = 48*m**2 - 42*m + 6. Let q = 100 + -118. Let o(j) = q*a(j) - 4*t(j). Factor o(i).
-4*(5*i - 2)**2
Let v(x) be the first derivative of -x**4 + 4/3*x**3 + 0*x + 4*x**2 - 14. Factor v(p).
-4*p*(p - 2)*(p + 1)
Let d = -53 - -22. Let s = 36 + d. Factor 5/2*p**4 + 1/2 - s*p**3 + 5*p**2 - 5/2*p - 1/2*p**5.
-(p - 1)**5/2
Let f(k) be the second derivative of -k**5/30 - k**4/4 + 19*k**2/2 - 13*k. Let g(s) be the first derivative of f(s). Factor g(j).
-2*j*(j + 3)
Let p(r) be the second derivative of -1/120*r**5 + 0 + 0*r**3 + 0*r**4 + 5*r - 5/2*r**2. Let g(o) be the first derivative of p(o). Suppose g(n) = 0. What is n?
0
Let b(l) be the second derivative of 2*l + 0*l**4 - 1/2*l**3 + 1/20*l**5 + 0 + 3/2