se 3*k = -12, 18*t - 17*t - 2*k = 4. Let x be t + 0 + (15 - (13 - 4)). Suppose 0 + x*d - 3/2*d**3 + 1/2*d**4 + 0*d**2 = 0. Calculate d.
-1, 0, 2
Let c(y) be the first derivative of y**5/20 + y**4/4 + y**3/2 + y**2/2 + 19*y - 12. Let u(z) be the first derivative of c(z). Factor u(o).
(o + 1)**3
Let h be ((-20)/(-180))/(2/(-6)). Let d = 1 + h. Suppose -4/3*q**3 - 2/3 - 2/3*q**4 + d*q + 2/3*q**5 + 4/3*q**2 = 0. Calculate q.
-1, 1
Let j(p) = 2*p**2 + 9 + 11*p - 32*p + 10*p. Let v(q) = 3*q**2 - 16*q + 13. Let i(k) = -7*j(k) + 5*v(k). Factor i(l).
(l - 2)*(l - 1)
Let k(v) be the first derivative of 8/3*v**3 - 4/5*v**5 - 5 + v**4 + 0*v**2 + 0*v. Let k(c) = 0. What is c?
-1, 0, 2
Let c(b) be the third derivative of -b**8/1176 + 9*b**7/245 - 81*b**6/140 + 243*b**5/70 - 19*b**2 - 4*b. Factor c(z).
-2*z**2*(z - 9)**3/7
Let a(r) be the first derivative of -2*r**3/7 - 111*r**2/7 - 216*r/7 + 65. Let a(u) = 0. Calculate u.
-36, -1
Solve 80000/11 + 2/11*u**2 - 800/11*u = 0.
200
Let r(w) = -w**3 - 8*w**2 + 22*w - 4. Let y be r(-10). Let l be y/(-28)*(-154)/(-33). Factor -2*c**3 - 1/2*c**5 - c**2 + 5/2*c - 1 + 2*c**l.
-(c - 2)*(c - 1)**3*(c + 1)/2
Let v(u) be the first derivative of u**6/75 - 3*u**5/50 + u**4/15 - 6*u - 17. Let p(c) be the first derivative of v(c). Factor p(b).
2*b**2*(b - 2)*(b - 1)/5
Let j = 0 + -1. Let d(l) be the second derivative of l**4/12 + l**2/2 + 3*l. Let b(q) = q**3 - 5*q**2 - 6. Let c(f) = j*b(f) - 6*d(f). Factor c(v).
-v**2*(v + 1)
Suppose 3*y - 21 = -0*y. Let p(u) = -2*u**2 + 14*u + 5. Let v be p(y). Determine o so that -4*o**4 - 2/5*o - 16/5*o**v + 8/5*o**2 + 6/5*o**3 + 0 = 0.
-1, 0, 1/4, 1/2
Let l = -12182 - -85275/7. Factor 5/7*a - l*a**2 + 6/7.
-(a - 6)*(a + 1)/7
Let k(x) be the first derivative of -5*x**3/12 + 5*x**2/4 + 75*x/4 - 42. Factor k(t).
-5*(t - 5)*(t + 3)/4
Suppose -m = 3*w - 27 + 25, -4*m = -3*w - 23. Let c(l) be the second derivative of -8*l + 243/20*l**m + 6*l**3 + 0 + 27/2*l**4 + 4/3*l**2. Factor c(d).
(9*d + 2)**3/3
Let k(s) be the third derivative of s**8/1680 + s**7/840 - s**6/360 - s**5/120 + 3*s**3/2 - 7*s**2. Let z(b) be the first derivative of k(b). Factor z(o).
o*(o - 1)*(o + 1)**2
Let c(j) = -7*j**2 - 94*j - 1918. Let n(p) = -p**2 - p + 3. Let y(b) = c(b) - 6*n(b). Find v, given that y(v) = 0.
-44
Suppose g = -4*t + 4 + 8, -22 = -3*g - 5*t. Let w be (-12)/(-8) + 18/(-12). Let 3/7*a**g + 0*a**3 + 0 + w*a - 3/7*a**2 = 0. What is a?
-1, 0, 1
Suppose 0 = 5*u + 25, 916*u = -2*h + 921*u + 31. Factor 4/7*n**2 - 4/7*n**h + 0 + 24/7*n.
-4*n*(n - 3)*(n + 2)/7
Solve 2/7*z**2 + 66/7*z - 68/7 = 0 for z.
-34, 1
Solve 2 - 103*m - 2 + 110*m + m**2 = 0.
-7, 0
Suppose -2*l = t - 4, -5*l = 2*t + 4 - 14. Suppose -2 + t + 4*k + 3*k**2 + 2 = 0. What is k?
-4/3, 0
Factor 0*p + 1/4*p**2 - 4.
(p - 4)*(p + 4)/4
Suppose -11*h + 180 = -8*h. Solve -15*n**5 + 65*n**3 - 95*n**4 - 46*n**3 - 39*n**3 + h*n**2 = 0 for n.
-6, -1, 0, 2/3
Let m be (8/(-5))/(4/(-10)). Let t(x) be the second derivative of 0 - 6*x - 7/10*x**6 + 2*x**3 - 9/2*x**m + 3/2*x**2 + 3*x**5. Factor t(s).
-3*(s - 1)**3*(7*s + 1)
Let t be ((-51)/12 - -4) + 61/4. Let n = 15 - t. Solve -4/5*r**2 - 12/5*r**4 + 12/5*r**3 + 0 + n*r + 4/5*r**5 = 0 for r.
0, 1
Let r(s) = 5*s**2 - 11*s + 5. Let u(h) = h**2 + 14*h + 16. Let g be u(-13). Let k(j) = 4*j**2 - 10*j + 6. Let o(l) = g*k(l) - 2*r(l). Factor o(t).
2*(t - 2)**2
Let x = 138 + -138. Let k(l) be the second derivative of 0*l**2 + 0*l**4 - 1/9*l**3 + x + 1/30*l**5 + 4*l. Suppose k(h) = 0. What is h?
-1, 0, 1
Let h(p) be the second derivative of -5*p**4/24 + 265*p**3/2 - 126405*p**2/4 + 26*p - 5. Factor h(l).
-5*(l - 159)**2/2
Let u(i) = 5*i + 1 - 6*i**3 - 3*i**3 - 6 + 7*i**3 + 2*i**2. Let d(t) = 2*t**3 - 2*t**2 - 6*t + 6. Let n(b) = 5*d(b) + 6*u(b). Determine z, given that n(z) = 0.
0, 1
Let a be 252/15 + (4 - (-57)/(-15)). Factor a*i - 8*i**2 + 3*i**4 - 6*i**3 + 8*i - 7*i**2 - 7*i.
3*i*(i - 3)*(i - 1)*(i + 2)
Solve -17*m**2 - 32*m - 12*m - 7*m**2 - m**3 + 0*m**3 - 3*m**3 - 24 = 0.
-3, -2, -1
Let o(b) be the first derivative of b**5/6 - 5*b**4/24 - 5*b**3/3 + 55. Determine h so that o(h) = 0.
-2, 0, 3
Suppose -3*p + 6 = 5*x - 2*x, 5*p - 4*x + 8 = 0. Let n(g) be the second derivative of p*g**3 + 0*g**2 - 1/48*g**4 + 0 + 7*g. What is y in n(y) = 0?
0
Let v(z) = 2*z**5 - z**4 - z**3 + 1. Let k(q) = -14*q**5 - 130*q**4 - 194*q**3 + 8*q**2 + 76*q - 13. Let l(w) = 2*k(w) - 6*v(w). Suppose l(y) = 0. What is y?
-4, -2, -1, 1/4, 2/5
Let u(b) be the second derivative of b**7/63 - b**6/90 - b**5/4 - 5*b**4/36 + 13*b**3/18 + b**2 - 62*b. Find y such that u(y) = 0.
-2, -1, -1/2, 1, 3
Let o = 135 + -53. Let p = 169/2 - o. Factor 0 + 0*k - 2*k**4 - 1/2*k**5 - k**2 - p*k**3.
-k**2*(k + 1)**2*(k + 2)/2
Let r = -15240 + 15252. Factor -2 + 40*x**3 - r*x**2 - 27/2*x.
(4*x + 1)**2*(5*x - 4)/2
Let f(t) = -2*t + 18. Let w be f(-10). Let o be w/10 - (3 - 0). Factor -o + 14/5*l**2 - 2*l.
2*(l - 1)*(7*l + 2)/5
Let o(b) be the first derivative of -b**6/540 + b**5/30 - 2*b**4/9 - 19*b**3/3 - 15. Let u(v) be the third derivative of o(v). Factor u(s).
-2*(s - 4)*(s - 2)/3
Let c(w) be the second derivative of -w**8/63840 + w**6/2280 - w**5/570 + 5*w**4/12 + 7*w. Let o(f) be the third derivative of c(f). Factor o(b).
-2*(b - 1)**2*(b + 2)/19
Let -15/2*u - 31/4*u**2 + 0 - 1/4*u**3 = 0. What is u?
-30, -1, 0
Let b(m) be the first derivative of 2*m**5/25 + 21*m**4/5 + 416*m**3/5 + 3718*m**2/5 + 13182*m/5 + 300. Factor b(o).
2*(o + 3)*(o + 13)**3/5
Let f be (-2)/7 + (-840)/(-196). Let x(h) be the first derivative of -14/3*h**3 + 8*h - 4 + 0*h**2 + 3/2*h**f. Solve x(d) = 0.
-2/3, 1, 2
Suppose 0*k - 88 = -4*k - 2*l, 2*l + 101 = 5*k. Let n = k + -19. Factor -2/9*g + 2/9*g**n + 0.
2*g*(g - 1)/9
Let a(l) = l**2 - 6*l - 5. Let t be a(7). Suppose 5*h**5 - 15*h + 2*h**3 - h**3 + 40*h**t - 31*h**3 + 0*h**2 = 0. What is h?
-3, 0, 1
Let n(q) be the second derivative of 0*q**2 + 0 - 1/10*q**5 - 4*q + 7/6*q**4 - 2*q**3. Factor n(u).
-2*u*(u - 6)*(u - 1)
Let v be (-44)/(-770) - 103/(-35). Factor -4*t + 6/5*t**v - 46/5*t**2 + 32/5.
2*(t - 8)*(t + 1)*(3*t - 2)/5
Suppose 3*s + 6 = -6. Let t = s - -8. Determine i, given that 4*i + 5 - 4*i**3 - 7 - 8*i**2 + 6*i**4 + t = 0.
-1, -1/3, 1
Let s(w) = 12*w - 32. Let i be s(8). Let b = i + -62. Factor -3/2*m**b + 0 + 0*m + 3/4*m**3.
3*m**2*(m - 2)/4
Let l(o) = -36*o**2 + 20. Let j(s) = -7*s**2 + 4. Let v = -2 + -1. Let c(m) = v*l(m) + 16*j(m). Solve c(d) = 0 for d.
-1, 1
Let n(o) be the third derivative of -o**5/90 - o**4/4 + 2*o**2 - 38. Factor n(a).
-2*a*(a + 9)/3
Let i(x) be the second derivative of -8*x**4 - 13*x - 1024*x**2 + 0 - 1/5*x**5 - 128*x**3. Let i(w) = 0. Calculate w.
-8
Let p(j) = 197*j + 4139. Let k be p(-21). Find s such that 2/5 + 2/5*s - 24/5*s**k = 0.
-1/4, 1/3
Factor 17*h**2 + 19*h**2 - 30*h**3 - 5 + 30*h - 31*h**2.
-5*(h - 1)*(h + 1)*(6*h - 1)
Suppose 3*y - 33 = -3*u, u + 284*y + 25 = 289*y. Factor 2/11*f**u + 2/11 + 20/11*f**2 + 10/11*f + 20/11*f**3 + 10/11*f**4.
2*(f + 1)**5/11
Let q(m) be the first derivative of m**6/6 + 2*m**5/5 - 9. Factor q(d).
d**4*(d + 2)
Let a(r) be the first derivative of r**2 + 0*r + 21/8*r**4 + 4*r**3 - 8 - 49/10*r**5. Factor a(l).
-l*(l - 1)*(7*l + 2)**2/2
Let m(f) be the first derivative of f**6/2340 - f**5/390 + f**4/156 + 2*f**3/3 + 11. Let w(k) be the third derivative of m(k). Factor w(y).
2*(y - 1)**2/13
Let c(t) be the second derivative of -3*t**7/14 + 37*t**6/15 - 151*t**5/20 - 7*t**4/2 + 80*t**3/3 - 16*t**2 - 415*t. Find h such that c(h) = 0.
-1, 2/9, 1, 4
Let j(r) = -48*r**3 - 48*r**2 + 15*r + 27. Let b(h) = 2 + 5*h**3 + 5*h**3 - 6 + 7*h**2 - 3*h**3 - 2*h. Let f(n) = 27*b(n) + 4*j(n). Factor f(l).
-3*l*(l - 1)*(l + 2)
Let w(i) be the second derivative of -i**4/54 + 25*i**3/27 - 8*i**2/3 - 6*i - 4. Factor w(q).
-2*(q - 24)*(q - 1)/9
Let j(x) be the third derivative of -3*x**5/10 + x**4/2 - x**3/3 + 68*x**2. Factor j(l).
-2*(3*l - 1)**2
Let i be ((-30)/42)/(1695/(-3164)). Factor 0 - i*s**3 - 2/9*s**5 + 8/9*s**4 + 8/9*s**2 - 2/9*s.
-2*s*(s - 1)**4/9
Let z(s) = -12*s + 22. Let r(b) = b**2 - b - 3. Let u(p) = 2*r(p) - z(p). Factor u(m).
2*(m - 2)*(m + 7)
Let h(d) be the first derivative of 9 + 4*d**2 + 4/5*d**5 + 9*d - 11/3*d**4 + 10/3*d**3. Let w(t) be the first derivative of 