ive of i**6/120 - i**5/12 + i**4/6 + 399*i**2. Factor c(y).
y*(y - 4)*(y - 1)
Let i = 462 - 3230/7. Let t = 9 + -4. Let 6/7*u**3 - 2/7*u**4 + 0 - 2/7*u**t + i*u + 10/7*u**2 = 0. What is u?
-1, 0, 2
Suppose -q + 712 = 709. Let a(s) be the first derivative of 4 + 2/3*s**4 + 1/3*s**2 + 8/9*s**q + 0*s. Solve a(k) = 0 for k.
-1/2, 0
Let y(g) be the second derivative of g**6/6 - g**5/2 - 5*g**4/3 + 20*g**3/3 + 68*g. Let y(p) = 0. Calculate p.
-2, 0, 2
Let q(j) be the second derivative of 0 - 1/48*j**4 + 1/120*j**6 + 39*j + 0*j**5 + 0*j**2 + 0*j**3. Let q(h) = 0. Calculate h.
-1, 0, 1
Let o(v) be the second derivative of -v**4/30 - 41*v**3/15 - 8*v**2 - 2*v - 12. Let o(x) = 0. What is x?
-40, -1
Let m(z) = -3*z**3 - 2*z**2 + z - 2. Let k = 16 + -12. Let l(y) = 10*y**3 + 6*y**2 - 4*y + 7. Let s(q) = k*l(q) + 14*m(q). What is c in s(c) = 0?
-1, 0
Let u(z) = -3*z**3 - 10*z**2 + 3*z + 12. Let x(d) = -7*d**3 - 20*d**2 + 7*d + 25. Let y(r) = -5*u(r) + 2*x(r). Determine a so that y(a) = 0.
-10, -1, 1
Let p(q) be the second derivative of 5*q**2 + 5/2*q**3 - 23*q + 0 + 5/12*q**4. Determine l so that p(l) = 0.
-2, -1
Let g(v) be the third derivative of v**6/20 - v**5/60 - v**4/4 + v**3/6 - 11*v**2 - 19*v. Factor g(k).
(k - 1)*(k + 1)*(6*k - 1)
Suppose 0 = -3*q + 4*r + 18, -2*r + 1 = -2*q + 11. Let g(u) = 3*u - 6. Let h be g(q). Factor -1/5*l - 1/5*l**2 + h.
-l*(l + 1)/5
Let u be (-9)/21 - -3*(-2)/(-6). What is r in 2/7*r**2 - 6/7 - u*r = 0?
-1, 3
Suppose 16*o = 12*o + 304. Factor -u**4 + 6*u**3 + 4*u**4 - 82*u - 3*u**2 + o*u.
3*u*(u - 1)*(u + 1)*(u + 2)
Suppose -25/2*h - 6 - h**2 = 0. Calculate h.
-12, -1/2
Factor 0 - 4/7*g**4 - 2/7*g**2 - 1/7*g**5 - 5/7*g**3 + 0*g.
-g**2*(g + 1)**2*(g + 2)/7
Let g(d) be the third derivative of -d**7/105 + d**6/2 + 21*d**5/10 + 8*d**4/3 + 4*d**2 - 34*d. Solve g(l) = 0.
-1, 0, 32
Let j(h) be the third derivative of 0 - 1/540*h**6 + 0*h**5 - 12*h**2 + 1/54*h**3 - 1/1890*h**7 + 1/108*h**4 + 0*h. Factor j(q).
-(q - 1)*(q + 1)**3/9
Suppose 41*c - 12 = 35*c. Let -41*j**c - 41*j**2 - 12*j**3 + 3*j**4 + 94*j**2 = 0. Calculate j.
0, 2
Let y(p) be the second derivative of -p**4/4 - 7*p**3/2 + 12*p**2 + 3*p - 8. Factor y(o).
-3*(o - 1)*(o + 8)
Let h be ((-1586)/195 + 8)*-3. Find i such that 0 + h*i**2 + 2*i = 0.
-5, 0
Let l(n) = 3*n**2 - n + 1. Let f be l(1). Suppose -4*m - p + 42 - 17 = 0, -f*m + 19 = p. Find g, given that 0*g + 5*g**2 - 3*g - m*g**2 = 0.
-3, 0
Let f be -5 + -5 + (-172)/(-16). What is r in -3/4*r**2 + 0 - f*r = 0?
-1, 0
Let g(z) = 31*z + 3. Let q be g(0). Let y(k) be the first derivative of 8*k - q - 2/3*k**3 + 4*k**2 - 1/2*k**4. Suppose y(j) = 0. What is j?
-2, -1, 2
Let n be (2 + 30/(-7))*1435/(-2870). Factor 6/7*w**2 + n + 2*w.
2*(w + 1)*(3*w + 4)/7
Let j(d) = -8*d**2 - 20*d - 12. Suppose 4*k + 6 = 4*t - 26, -2*k + t = 12. Let i(b) = 17*b**2 + 41*b + 23. Let x(r) = k*i(r) - 9*j(r). Factor x(w).
4*(w + 2)**2
Let a(o) be the third derivative of o**9/30240 - o**8/3360 + o**7/840 - o**6/360 - o**5/30 + 7*o**2. Let y(k) be the third derivative of a(k). Factor y(b).
2*(b - 1)**3
Let k(f) be the first derivative of 5*f**4/16 + 25*f**3/2 - 315*f**2/8 + 40*f - 177. Factor k(m).
5*(m - 1)**2*(m + 32)/4
Let r(z) be the first derivative of -5*z**4/4 - 5*z**3 - 5*z**2 + 62. Determine c, given that r(c) = 0.
-2, -1, 0
Let n(i) be the first derivative of i**5/45 - i**3/3 + 2*i**2/9 + 4*i/3 + 44. Find b such that n(b) = 0.
-3, -1, 2
Let -15*j - 14*j**2 - 4*j**2 - 3*j**2 + 6*j**3 + 12 = 0. What is j?
-1, 1/2, 4
Let a = -19042 - -19044. Factor 1/5*f + 1/5*f**3 + 0 - 2/5*f**a.
f*(f - 1)**2/5
Factor -27*a**2 - 22*a + 5*a**3 + 18*a + 19*a**2.
a*(a - 2)*(5*a + 2)
Let f(n) = -n**3 + 12*n**2 - 16*n + 69. Let t be f(11). Let z = t + -27/2. Factor d - z*d**3 - 1/2*d**2 + 0.
-d*(d - 1)*(d + 2)/2
Let w be -15*(-2)/18*-85. Let t = 142 + w. Find i, given that 0 - t*i**2 - 1/3*i = 0.
-1, 0
Suppose -3*o - f + 11 = 0, 3*f + 4 - 19 = 0. Suppose 0*q = 4*q. Find p such that q*p - 1/5 + 1/5*p**o = 0.
-1, 1
Let t(a) be the second derivative of -1/10*a**5 - 8*a + 0 - 2/3*a**4 - 4/3*a**3 + 0*a**2. Factor t(z).
-2*z*(z + 2)**2
Let x(j) = -j**4 - 2*j**3 + 1. Let u(o) = o**4 + 14*o**3 - 4*o**2 - 20*o + 3. Let m(s) = -u(s) + 3*x(s). Factor m(t).
-4*t*(t - 1)*(t + 1)*(t + 5)
Let o(r) be the third derivative of 1/54*r**5 + 0 + 3*r**2 + 3*r - 1/180*r**6 + 0*r**3 + 1/1512*r**8 - 1/945*r**7 - 1/54*r**4. Let o(i) = 0. Calculate i.
-2, 0, 1
Let c(o) be the second derivative of -1/18*o**2 + 1/108*o**4 + 0 + 0*o**3 - 17*o. Solve c(s) = 0 for s.
-1, 1
Let p(z) = -16*z**3 - 40*z**2 - 38*z - 34. Let q(g) = 5*g**3 + 13*g**2 + 13*g + 11. Let y(n) = -6*p(n) - 20*q(n). Let y(l) = 0. What is l?
-2, -1
Let u(g) be the second derivative of -g**7/126 - g**6/18 + g**5/10 - 3*g - 19. Factor u(m).
-m**3*(m - 1)*(m + 6)/3
Solve 2/7*a**3 - 32/7 - 2/7*a + 32/7*a**2 = 0 for a.
-16, -1, 1
Let f(c) be the second derivative of -1/15*c**3 + 1/50*c**5 - 3*c + 0 + 6/5*c**2 - 1/5*c**4. Factor f(b).
2*(b - 6)*(b - 1)*(b + 1)/5
Let d(x) = -x**2 - 13*x + 680. Let z be d(-33). Factor -30 + z*f + 55/6*f**2 + 5/6*f**3.
5*(f - 1)*(f + 6)**2/6
Let w(z) = -9*z**3 + 3*z**2 - 9*z. Let j be (-1)/((-3)/(-75)*5). Let k(y) = -y**3 - y**2 - y. Let g(a) = j*k(a) + w(a). Factor g(n).
-4*n*(n - 1)**2
Factor 4*b + 29*b**5 - 25*b**5 - b**3 - 7*b**3 + 0*b.
4*b*(b - 1)**2*(b + 1)**2
Let n(z) = z**2 + 11*z + 14. Let c be n(-10). Let d(x) be the first derivative of 1/10*x**c + 2/5*x - 1/5*x**2 + 2 - 2/15*x**3. Factor d(l).
2*(l - 1)**2*(l + 1)/5
Let y(u) be the first derivative of u**5/5 + u**4/2 - u**3/3 - u**2 - 107. Determine b, given that y(b) = 0.
-2, -1, 0, 1
Let q(s) be the third derivative of -11*s**6/30 + 119*s**5/15 + 77*s**4/3 + 16*s**3 - 4*s**2 - 110*s. Factor q(o).
-4*(o - 12)*(o + 1)*(11*o + 2)
Let z(w) = -w**4 - 3*w**3 - 11*w**2 + 12*w - 3. Let c(g) = 2*g**4 + 4*g**3 + 10*g**2 - 12*g + 4. Let h(o) = -3*c(o) - 4*z(o). Solve h(u) = 0.
-3, 0, 1, 2
Suppose -5*i + i = -3*i. Factor -6/5*v**2 - 3/5*v**3 + 0*v + i.
-3*v**2*(v + 2)/5
Let p(d) = d**3 + 6*d**2 + 4*d + 1. Let o be p(-3). Suppose o = 7*b - 3*b. Factor -7*a**4 + 2*a**4 + 0*a**b - 4*a**3 + a**4.
-4*a**3*(a + 1)
Let g(c) be the second derivative of -c**7/105 + 4*c**6/75 - 8*c**4/15 + 16*c**3/15 + 65*c. Factor g(h).
-2*h*(h - 2)**3*(h + 2)/5
Let x be (125/(-125))/((-2)/8). Let c = -49/5 - -10. Factor -c*i - 16/5*i**5 - 24/5*i**x + 0 + 6/5*i**2 - 1/5*i**3.
-i*(i + 1)**2*(4*i - 1)**2/5
Let y(o) be the first derivative of 5*o**2/2 - 2*o + 10. Let h be y(1). Suppose -h*f**3 + 2*f**4 + 7*f**3 + 2*f**4 = 0. What is f?
-1, 0
Let j(k) be the third derivative of k**7/5040 + k**6/480 + k**5/120 - 5*k**4/12 - 5*k**2. Let s(u) be the second derivative of j(u). Solve s(d) = 0 for d.
-2, -1
Suppose 4*y = 4*h - 68, h - 2*y - 20 = -8. Let l = h - 19. Factor -16*d**2 - 8*d - 7*d**3 + 4*d**4 + 36*d**2 - 9*d**l.
4*d*(d - 2)*(d - 1)**2
Let j = 3083 - 15397/5. Suppose -2*c**2 + 14/5*c**4 - j*c**3 - 4/5 + 18/5*c = 0. What is c?
-1, 2/7, 1
Let x = 19 - 37/2. Suppose 12*s - 8 = 8*s. Solve -r**3 + 0*r**s - x + 1/2*r**4 + r = 0 for r.
-1, 1
Let v(y) be the second derivative of -y**6/36 + 2*y**5/3 - 385*y**4/72 + 245*y**3/18 + 2*y + 10. What is x in v(x) = 0?
0, 2, 7
Let s(h) be the first derivative of h**4/4 - 8*h**3/3 + 15*h**2/2 - 4. Factor s(j).
j*(j - 5)*(j - 3)
Solve -44 + 16*f**4 + 16*f**2 - 14 - 7*f + 47*f - 38*f**3 - 2*f**5 + 26 + 0*f = 0 for f.
-1, 1, 2, 4
Let i(x) be the third derivative of x**5/35 + 19*x**4/84 + x**3/7 - 81*x**2. Factor i(l).
2*(l + 3)*(6*l + 1)/7
Suppose -4*i + 6*i - 8 = 0. Solve -r**2 - 3*r**4 + 2*r**4 - r**2 - i*r**3 - r**2 = 0.
-3, -1, 0
Solve 2/3*v**5 - 40/3*v**3 + 0 - 2*v**4 + 128/3*v + 32*v**2 = 0 for v.
-4, -1, 0, 4
Let t be 73*4/12 - 13. What is w in -34/3*w - t*w**2 - 14/3*w**3 - 4 - 2/3*w**4 = 0?
-3, -2, -1
Let n(l) = -6*l**3 - 3*l**2 + 4*l - 3. Let w(m) = -m**3 - m. Suppose -3*a + h = -10, -a - 2*h + 6 = -9. Let x(d) = a*n(d) - 20*w(d). Factor x(i).
-5*(i - 1)*(i + 3)*(2*i - 1)
Let h = -1/268 + 135/268. Let v(a) be the first derivative of -a**3 - 1/5*a**5 - 3/4*a**4 + 4 + 0*a - h*a**2. Factor v(r).
-r*(r + 1)**3
Let d = 3647 - 1148804/315. Let v(m) be the third derivative of 1/45*m**6 - 1/18*m**5 + 0*m + 0 + 1/18*m**4 + m**2 + 0*m**3 