6) + (1 - (8 + -4)). Let t(b) be the first derivative of 0*b - 3/20*b**5 + x*b**4 - 8 - 3/4*b**3 + 3/8*b**2. Factor t(r).
-3*r*(r - 1)**3/4
Let q(i) be the first derivative of 15 + 10/3*i**3 - i**4 - i**2 - 4*i. Factor q(x).
-2*(x - 2)*(x - 1)*(2*x + 1)
Determine z so that 0 + 2/13*z**3 + 0*z**2 - 8/13*z = 0.
-2, 0, 2
Suppose -v - v = 5*i - 16, 5*i - 5*v + 5 = 0. Suppose -4*h + 26 = i*n, -h + 0*n - 3*n + 19 = 0. Let o**3 - 12 + 3*o**2 + 4 + h = 0. Calculate o.
-2, 1
Let j(m) be the second derivative of -5/3*m**4 - 2/21*m**7 + 4/3*m**3 + 2/15*m**6 + 0 + 0*m**2 + 12*m + 3/5*m**5. Factor j(q).
-4*q*(q - 1)**3*(q + 2)
Let a = -1/64 + 163/2240. Let r(q) be the first derivative of 0*q + 1/7*q**2 + 2/7*q**3 + a*q**5 - 7 + 3/14*q**4. Factor r(b).
2*b*(b + 1)**3/7
Let u(g) be the third derivative of -g**9/12096 + g**7/3360 - 3*g**3/2 - 4*g**2. Let m(c) be the first derivative of u(c). Factor m(a).
-a**3*(a - 1)*(a + 1)/4
Let x(k) = 2*k**3 - 10*k**2 - 12*k + 3. Let d be x(6). Let r(a) be the first derivative of 5*a**d + 4 + 12*a - 3/4*a**4 - 12*a**2. Factor r(m).
-3*(m - 2)**2*(m - 1)
Let f = 3408/3985 - 44/797. Suppose -f*b + 2/5*b**2 - 6/5 = 0. Calculate b.
-1, 3
Let s(g) be the first derivative of g**3/3 + 110*g**2 + 12100*g + 186. Factor s(x).
(x + 110)**2
Let d be -5 - ((-33)/(-6))/((-3)/3). Let 1/4*p**2 + 0 - d*p = 0. What is p?
0, 2
Let l(i) = -i**3 - 16*i**2 - 42*i - 7. Let a be l(-3). Let t be 18/(-20)*(-10)/12. What is m in 3/4*m**3 + t*m**a + 0*m + 0 = 0?
-1, 0
Suppose 12 = 4*l + j, -2*l + l + 4*j + 3 = 0. What is z in z**4 - 3*z**3 + 11*z**l + 3*z**4 = 0?
-2, 0
Factor -2592/11 - 2/11*n**2 + 144/11*n.
-2*(n - 36)**2/11
Suppose 22*f - 26*f + 8 = 0. Determine b, given that -6*b**f + 127*b + b**3 + 2*b**3 - 139*b + 0*b**3 + 24 = 0.
-2, 2
Let l(v) be the second derivative of -v**7/504 - v**6/72 + v**5/8 - 3*v**4/4 + 3*v. Let h(u) be the third derivative of l(u). Factor h(j).
-5*(j - 1)*(j + 3)
Let g be (-4)/(-28) - ((-81)/21 + 1). Factor 5*l**5 - 15*l**2 - 10*l - 8*l**3 - 15*l**g + 15*l**4 + 28*l**3.
5*l*(l - 1)*(l + 1)**2*(l + 2)
Let u(v) be the second derivative of v**5/70 + 4*v**4/21 + 5*v**3/7 + 86*v. Solve u(z) = 0.
-5, -3, 0
Let t be ((-4)/8*1)/(3/(-30)). Solve -4*n**4 + 4 + 16*n**2 + 14*n - t*n**3 + 5*n**3 + 4*n**3 - 2*n**5 = 0.
-1, 2
Let t(w) = 33*w - 15. Let p be t(-6). Let j = p + 661/3. Solve 0 - 4/3*l + 10/3*l**2 + 8/3*l**4 + j*l**3 = 0 for l.
-2, -1, 0, 1/4
Let x(r) be the second derivative of 2*r**7/105 - 4*r**6/25 - 2*r**5/5 + 4*r**4/3 + 6*r**3/5 - 28*r**2/5 + 4*r + 4. Find w such that x(w) = 0.
-2, -1, 1, 7
Let j(t) be the third derivative of 0*t + 0 + 7/50*t**6 + 0*t**4 + 5/336*t**8 - 30*t**2 + 0*t**3 + 4/75*t**5 + 4/35*t**7. Factor j(m).
m**2*(m + 4)*(5*m + 2)**2/5
Let a(z) be the first derivative of -2/13*z - 2/13*z**2 - 2/39*z**3 - 17. What is o in a(o) = 0?
-1
Solve 0*t**4 - 22*t**3 - 156*t**5 + 12*t**2 + 158*t**5 + 8*t**4 = 0.
-6, 0, 1
Suppose 17*n = 20*n - 6. Let l be 8/28 - (n - 135/42). Factor -3*c - 3/2*c**4 + 3*c**3 + 0*c**2 + l.
-3*(c - 1)**3*(c + 1)/2
Let c(g) be the first derivative of g**3/3 - 53*g**2/2 + 52*g + 431. Factor c(s).
(s - 52)*(s - 1)
Let g(b) = 30*b**3 - 106*b**2 + 112*b - 10. Let m(w) = 59*w**3 - 211*w**2 + 224*w - 21. Let y(f) = 11*g(f) - 6*m(f). Solve y(v) = 0 for v.
1/6, 2
Suppose 0 = -6*v + 196 - 172. Factor 3/5*b**2 + 0*b - 12/5*b**3 + 9/5*b**v + 0.
3*b**2*(b - 1)*(3*b - 1)/5
Let k(r) = r**4 + r**2 - r + 1. Let d(l) = -3 + 2*l**2 - 3*l**4 + 17*l**3 + 5*l + 4 - 21*l**3 - 3*l**2. Let a(w) = -2*d(w) - 2*k(w). Let a(i) = 0. Calculate i.
-1, 1
Determine a so that 3/5*a**4 + 1/5*a**3 - 3/5*a**2 + 0*a + 0 - 1/5*a**5 = 0.
-1, 0, 1, 3
Suppose 3*h = h - 8. Let k(g) = -g**2 - 10*g. Let u(y) = 10*y. Let p(q) = h*u(q) - 5*k(q). Suppose p(s) = 0. What is s?
-2, 0
Let n be (-31)/(4/(-6 + 2)). Factor -8*c**2 - 23*c**3 + n*c**3 + 4*c**4 - 6*c**5 - 4*c + 2*c**5 + 4.
-4*(c - 1)**3*(c + 1)**2
Determine f so that -56*f**2 + 216*f**2 - 539*f - 741*f + 5*f**3 - 10*f**3 = 0.
0, 16
Let i = 39 - 35. Factor -12*x - 2*x**2 + i*x**3 + 21*x**2 - 11*x**2.
4*x*(x - 1)*(x + 3)
Let x = 102 + -83. Factor -20 + 58 - x - h**2 - 18.
-(h - 1)*(h + 1)
Let v(k) be the second derivative of k**7/42 - k**6/15 - 2*k**5/5 + 3*k**4/2 - 3*k**3/2 - k - 46. Determine r so that v(r) = 0.
-3, 0, 1, 3
Let i(g) be the first derivative of g**3/3 + 5*g**2/4 - 3*g/2 - 13. Factor i(b).
(b + 3)*(2*b - 1)/2
Let k(t) be the third derivative of -t**5/30 + 83*t**4/36 - 6*t**3 + 26*t**2. Determine u so that k(u) = 0.
2/3, 27
Let u(w) = -w**2 + 2*w + 7. Let x be u(3). Let q = 3 + -1. Let 5*i**2 + 2*i + x*i - 3 + 6 - 2*i**q = 0. What is i?
-1
Let d(i) = -i**3 - 7*i**2 + i + 8. Let h be d(-7). Let l be (2/h - 2)*(-2 + 1). Find a, given that 3/2*a**4 + 0 + l*a + 0*a**2 + 3/2*a**3 = 0.
-1, 0
Let g(f) be the first derivative of -1/480*f**6 - 2*f**2 + 0*f**3 + 0*f**4 - 5 + 0*f + 1/240*f**5. Let c(h) be the second derivative of g(h). Factor c(y).
-y**2*(y - 1)/4
Let z(f) be the second derivative of -f**6/30 + f**5/20 + f**4/2 + f + 6. Let z(t) = 0. Calculate t.
-2, 0, 3
Let i = 141 + -267/2. Suppose 10*d**2 - i*d**3 + 5/2*d - 5 = 0. What is d?
-2/3, 1
What is m in 8/3*m**3 - 10/3*m**2 + 10/3 - 8/3*m = 0?
-1, 1, 5/4
Let i(b) be the first derivative of -b**3/3 - 59*b**2 - 3481*b - 536. Let i(u) = 0. Calculate u.
-59
Let w(b) be the second derivative of -4*b**7/27 + 29*b**6/135 + b**5/90 - b**4/27 - b - 5. Determine q so that w(q) = 0.
-1/4, 0, 2/7, 1
Let h(z) be the second derivative of 1/3*z**3 + 10/11*z**2 + 0 + 1/66*z**4 + 25*z. Determine f so that h(f) = 0.
-10, -1
Let y(p) be the first derivative of -2*p**5 - 21*p**4/2 - 16*p**3 - 4*p**2 + 273. Factor y(q).
-2*q*(q + 2)**2*(5*q + 1)
Let r(v) be the third derivative of 8*v**7/105 + 27*v**6/10 + 32*v**5/5 + 19*v**4/6 + 276*v**2. Factor r(n).
4*n*(n + 1)*(n + 19)*(4*n + 1)
Let r be (15/4 - (-11 - -15))*-8. Determine q, given that -2*q + 2732 + q**r + 3*q**3 - 2732 = 0.
-1, 0, 2/3
Let w(h) be the third derivative of h**5/20 - 13*h**4/8 + 15*h**3 + 11*h**2 + 13. Factor w(y).
3*(y - 10)*(y - 3)
Let u(w) = w**2 + 10*w - 20. Let r be u(2). Suppose -2*s = 2*s - 56. Factor -33*k + 7*k + 15*k**2 - s - 13*k - r.
3*(k - 3)*(5*k + 2)
Suppose 0*n - 4 = 4*z - 2*n, -z = 2*n - 9. Let l(x) = 6*x**2. Let s be l(z). Factor c**2 + 2*c**3 - s*c**2 + 7*c**2.
2*c**2*(c + 1)
Suppose 4*p**5 + 511*p - 220*p - 8*p**3 - 287*p = 0. Calculate p.
-1, 0, 1
Suppose -93 = -m + r + 25, 2*m + r = 221. Factor 2*x**4 + 109*x**2 - m*x**2 + 2*x**4.
4*x**2*(x - 1)*(x + 1)
Let x(c) = -12*c**2 - 33*c. Let l(h) = 22*h**2 - 35*h**2 + 8*h + 16*h**2. Let r = -36 - -57. Let n(o) = r*l(o) + 5*x(o). Suppose n(k) = 0. Calculate k.
-1, 0
Suppose -5*l + l + 8 = 0. Let d = 182 - 180. Factor -4*n - 3*n**d - 3 - 2*n**3 + 14*n - 3 + n**l.
-2*(n - 1)**2*(n + 3)
Let a(j) be the second derivative of -3*j**5/5 - 17*j**4/3 - 14*j**3 + 18*j**2 + 92*j + 2. Factor a(w).
-4*(w + 3)**2*(3*w - 1)
Let n(z) be the first derivative of -z**6/27 + 4*z**5/15 - z**4/3 - 32*z**3/27 + 5*z**2/3 + 4*z + 315. Suppose n(j) = 0. Calculate j.
-1, 2, 3
Let z(d) be the second derivative of -d**7/7560 - d**6/2160 + d**4/6 - 11*d. Let a(l) be the third derivative of z(l). Factor a(k).
-k*(k + 1)/3
Let w(b) be the first derivative of 0*b**2 - 11*b - 1/3*b**3 - 1/6*b**4 + 14. Let i(o) be the first derivative of w(o). Suppose i(v) = 0. What is v?
-1, 0
Let d = 626/95 - 34/19. Determine s, given that -16/5 - 1/5*s**2 + d*s - 1/5*s**4 - 6/5*s**3 = 0.
-4, 1
Let g(s) = s**2 + 2. Let h(n) = n**3 - 10*n**2 - 11*n. Let t be h(11). Let k be g(t). Factor -8 + o**2 - 4*o - 3*o**k + 6*o**2.
4*(o - 2)*(o + 1)
Suppose -3*l + 4*m = -3, -m = -4*l + 4*m + 5. Suppose -6*v + 3 = -l*v. Factor -22*c**2 - 70 - 4*c + 70 - 14*c**4 - 32*c**v.
-2*c*(c + 1)**2*(7*c + 2)
Factor -2/3*a + 0 - 2/9*a**4 + 2/9*a**2 + 2/3*a**3.
-2*a*(a - 3)*(a - 1)*(a + 1)/9
Let a(g) be the first derivative of -g**6/360 - g**5/120 + 5*g**3 + 7. Let k(c) be the third derivative of a(c). Factor k(x).
-x*(x + 1)
Factor 12*s**2 + s**5 - 16*s**2 - 2*s**4 - 440*s**3 + 433*s**3.
s**2*(s - 4)*(s + 1)**2
Let i(r) be the second derivative of 0*r**2 - 4*r + 0 - 1/21*r**3 - 1/42*r**4. Determine n so that i(n) = 0.
-1, 0
Suppose 7*k = 6 + 15. Factor -4*u**2 + 0*