tive of t**4/40 + t**3/30 - 9. What is j in x(j) = 0?
-1, 0
Let j(r) be the third derivative of 1/300*r**6 - 1/15*r**3 + 0*r - 1/50*r**5 + 4*r**2 + 0 + 1/20*r**4. Suppose j(o) = 0. Calculate o.
1
Factor -3*u**2 + 4*u - 2*u**2 + 9*u + 12*u - 20.
-5*(u - 4)*(u - 1)
Factor 6/7*y + 6/7*y**2 + 2/7 + 2/7*y**3.
2*(y + 1)**3/7
Let q be -1 + 4 - (2 + (-21)/15). Determine j so that 27/5*j + 6/5 + q*j**2 = 0.
-2, -1/4
Suppose -4 = -3*l - 2*d - 0, 2*d - 4 = 3*l. Let a(t) be the second derivative of -1/24*t**4 + l - 1/36*t**3 + 1/6*t**2 + 3*t. Find k, given that a(k) = 0.
-1, 2/3
Suppose 5*z - 2*x = -110, 0*x - x = 4*z + 75. Let m be 1 + 2*2/z. What is c in -2/5*c**5 + 0 + 4/5*c**2 + 2/5*c + 0*c**3 - m*c**4 = 0?
-1, 0, 1
Let x be (-3)/(-12)*(-1 + 15/7). Factor x*w + 2/7*w**2 + 0.
2*w*(w + 1)/7
Let j(l) be the third derivative of 1/60*l**6 + 0*l + 0*l**4 - 2/3*l**3 + 0*l**5 - 1/280*l**7 + 0 - l**2. Let v(c) be the first derivative of j(c). Factor v(o).
-3*o**2*(o - 2)
Let r(j) = j**2 + 2 - 3 - j + 2 - j**3. Let q(a) = -2*a**3 + 8*a**2 - 2*a + 4. Let h(i) = -q(i) + 4*r(i). Factor h(v).
-2*v*(v + 1)**2
Let r(p) be the third derivative of -p**8/840 + p**7/84 - p**6/60 - 3*p**5/20 - 2*p**3/3 + 4*p**2. Let l(a) be the first derivative of r(a). Factor l(z).
-2*z*(z - 3)**2*(z + 1)
Let m(x) = x**2 + 4*x. Let r be m(-4). Let -1/4*n + 3/4*n**3 + r - 1/2*n**2 = 0. Calculate n.
-1/3, 0, 1
Factor 0*v**2 + 8*v**2 - 13*v**2 + 3*v**2.
-2*v**2
Suppose -2 - 4 = -2*f. Suppose -v = s + 4*v - 27, v - f = s. Solve -2/5*z - 2/5*z**s + 4/5 = 0 for z.
-2, 1
Let n(w) be the second derivative of 2/3*w**3 + 0 + 0*w**2 + 1/6*w**4 + 2*w. Suppose n(m) = 0. What is m?
-2, 0
Let -1/2*l**3 + 0*l**2 - 1 + 3/2*l = 0. Calculate l.
-2, 1
Let w = -13/10 - -3/2. Solve w*x - 1/5*x**3 + 2/5*x**2 - 2/5 = 0.
-1, 1, 2
Let d = -14 - -44/3. Let j be (-4)/(120/5)*-2. Factor d - 1/3*k - 2/3*k**2 + j*k**3.
(k - 2)*(k - 1)*(k + 1)/3
Let q(d) be the first derivative of 6*d**5/25 - 7*d**4/10 + 4*d**2/5 + 3. Solve q(r) = 0.
-2/3, 0, 1, 2
Solve 1 + k**2 - 2*k**4 - 2*k**3 - 1/2*k**5 + 5/2*k = 0 for k.
-2, -1, 1
Let y(q) be the second derivative of q**4/3 - 2*q**3 + 4*q**2 + q. What is z in y(z) = 0?
1, 2
Factor 10/3*v**2 + 0 - 4/3*v - 4/3*v**3.
-2*v*(v - 2)*(2*v - 1)/3
Let m(f) be the second derivative of f**5/24 - 5*f**4/36 - 5*f**3/36 + 5*f**2/6 + 4*f - 2. Factor m(h).
5*(h - 2)*(h - 1)*(h + 1)/6
Let p = 22/5 - 73/20. Find l, given that -1/4 + 1/4*l**3 - p*l**2 + 3/4*l = 0.
1
Let 2/5*l**2 + 4/5*l - 6/5 = 0. What is l?
-3, 1
Let l(u) be the second derivative of -39*u**5/10 - 22*u**4/9 - 4*u**3/9 + 2*u. Factor l(m).
-2*m*(9*m + 2)*(13*m + 2)/3
Let t(m) be the second derivative of m**7/70 - m**6/25 - 3*m**5/100 + m**4/10 + 3*m. Let t(o) = 0. What is o?
-1, 0, 1, 2
Let p(k) be the first derivative of k**7/420 - k**6/180 - k**5/60 + k**4/12 - 2*k**3/3 - 2. Let i(q) be the third derivative of p(q). Factor i(o).
2*(o - 1)**2*(o + 1)
Let n(z) be the second derivative of -3/22*z**4 + 0 + 2/55*z**5 + 2/11*z**3 - z - 1/11*z**2. Find y such that n(y) = 0.
1/4, 1
Let f = 6 - 3. Determine z so that 0*z**3 - 2*z**3 - 5*z**2 - 8*z - f*z**2 = 0.
-2, 0
Let h(v) be the first derivative of 1/40*v**5 + 0*v + 1/24*v**4 + 0*v**3 - v**2 + 1/240*v**6 + 3. Let f(k) be the second derivative of h(k). Factor f(l).
l*(l + 1)*(l + 2)/2
Let l(p) be the second derivative of p**9/30240 + p**8/13440 + p**4/12 - 2*p. Let j(f) be the third derivative of l(f). Suppose j(q) = 0. Calculate q.
-1, 0
Suppose -5 = 2*t + 5*n, 2*n + 21 = 3*t - 0*n. Suppose -t*c = -0*c. Suppose 1/3*m**3 - 2/3*m**2 + c + 1/3*m = 0. What is m?
0, 1
Let n(p) be the third derivative of p**7/280 - p**6/80 + p**5/80 + 11*p**2. Factor n(g).
3*g**2*(g - 1)**2/4
Suppose 15 = 7*r - 2*r. Suppose -4 = -2*d - 2*a + 3*a, -d - r*a + 2 = 0. Suppose 2*b**d + 6/5*b**4 + 2/5*b + 0 + 14/5*b**3 = 0. What is b?
-1, -1/3, 0
Let v(k) be the first derivative of -k**7/315 - k**6/225 + k**5/150 + k**4/90 - 7*k - 10. Let m(x) be the first derivative of v(x). Factor m(a).
-2*a**2*(a - 1)*(a + 1)**2/15
Let o(s) be the first derivative of s**6/18 - s**5/15 - s**4/6 + 2*s**3/9 + s**2/6 - s/3 + 3. Factor o(n).
(n - 1)**3*(n + 1)**2/3
Factor 4*h - 11*h - 2*h**2 + 3*h**2 + 2*h + 4.
(h - 4)*(h - 1)
Let k(b) = -b + 1 + 3*b**2 - b**2 + b**3 - b**2. Let l(r) = -r**4 - 7*r**3 - 5*r**2 + 7*r - 4. Let c(m) = -10*k(m) - 2*l(m). Factor c(g).
2*(g - 1)*(g + 1)**3
Let s(n) be the third derivative of 0 + 4*n**2 + 0*n**3 - 1/24*n**4 + 0*n - 1/120*n**5. Factor s(j).
-j*(j + 2)/2
Suppose -2*p - 2*p = 40. Let o be p/(-25) + 7/20. Let -3/4*c + o*c**2 + 0 = 0. Calculate c.
0, 1
Let q(z) be the first derivative of z**6/27 - 8*z**5/45 + z**4/3 - 8*z**3/27 + z**2/9 - 9. Let q(r) = 0. Calculate r.
0, 1
Let y(j) be the third derivative of 9*j**5/100 - 11*j**4/40 + j**3/5 + 2*j**2. Suppose y(u) = 0. Calculate u.
2/9, 1
Let q(l) be the first derivative of -l**4/4 + 17*l**3/3 + l**2/2 - 15*l + 4. Let o be q(17). Solve 0 + 0*b + 2/9*b**o = 0.
0
Let i(d) = 5*d**4 + 5*d**3 - 6*d**2 - 7*d - 4. Let a(o) = -4*o**4 - 4*o**3 + 6*o**2 + 8*o + 4. Let l(u) = -6*a(u) - 4*i(u). Factor l(y).
4*(y - 2)*(y + 1)**3
Suppose 0 = -0*t - t + 4. Suppose -t*m = m. Factor 0 - 8/7*l**3 + 6/7*l**4 + m*l + 2/7*l**2.
2*l**2*(l - 1)*(3*l - 1)/7
Let x(y) be the third derivative of -y**5/15 + 5*y**4/6 + 4*y**3 - 26*y**2. Factor x(v).
-4*(v - 6)*(v + 1)
Suppose -2*j - 2*j = 3*p + 9, 5*j - 3*p = 9. Let b(n) be the third derivative of -1/42*n**4 + 0*n + 3*n**2 + 1/210*n**5 + 0*n**3 + j. Factor b(d).
2*d*(d - 2)/7
Let a(o) be the first derivative of o**4 + 4*o**3/3 - 7. Find n such that a(n) = 0.
-1, 0
Let n(i) be the second derivative of -i**6 + 7*i**5/4 - 5*i**4/6 + 14*i. Let n(m) = 0. What is m?
0, 1/2, 2/3
Factor 0 + 2/3*m**4 - 2/3*m**2 + 2/3*m**3 - 2/3*m.
2*m*(m - 1)*(m + 1)**2/3
Let c(p) be the first derivative of 0*p**2 - 3 + 0*p**3 - 1/4*p**4 - 3/2*p**6 + 0*p + 6/5*p**5. Let c(j) = 0. What is j?
0, 1/3
Let z(b) be the first derivative of -b**4/10 - 2*b**3/15 + 6. Suppose z(a) = 0. What is a?
-1, 0
Let j = -3 - -3. Let c(n) = -n**2 + 3. Let v be c(j). Factor -2*o + 5*o - 6*o**3 + 3*o**v.
-3*o*(o - 1)*(o + 1)
Let p(u) = 6*u**2 + 16*u + 10. Let t(w) = 2*w**2 + 5*w + 3. Let y(f) = -5*p(f) + 14*t(f). Factor y(h).
-2*(h + 1)*(h + 4)
Let f = 82 - 55. Let h be -3 + -1 + 300/f. Determine r so that -154/9*r**2 + 98/9*r**3 + h*r - 8/9 = 0.
2/7, 1
Let x(r) be the third derivative of r**7/90 - 23*r**6/360 + r**5/9 - r**4/18 + 2*r**2. Suppose x(c) = 0. Calculate c.
0, 2/7, 1, 2
Suppose 5*z + 3 = m, 3*z + 4*m = -2*z + 12. Factor -3*w - w**2 + 1 - w**3 + z*w**2 + 5*w**2 - w**2.
-(w - 1)**3
Let f(d) be the third derivative of 5*d**8/1008 - 4*d**7/315 - d**6/40 + 2*d**5/45 + d**4/18 + 2*d**2. Find m, given that f(m) = 0.
-1, -2/5, 0, 1, 2
Suppose -4 = 4*l, 2*u = -u + 4*l + 13. Factor -1/4*m**5 + 3/4*m - 1/2*m**u - 1/4 - 1/2*m**2 + 3/4*m**4.
-(m - 1)**4*(m + 1)/4
Let n(r) be the second derivative of r**7/105 + r**6/75 - r**5/50 - r**4/30 + 13*r. Factor n(w).
2*w**2*(w - 1)*(w + 1)**2/5
Let r(m) be the second derivative of -m**6/10 + 3*m**5/20 + m**4/4 - m**3/2 + m + 1. Factor r(n).
-3*n*(n - 1)**2*(n + 1)
Let v(b) be the first derivative of b**6/120 + b**5/10 + b**4/2 + b**3 + 1. Let a(c) be the third derivative of v(c). Factor a(q).
3*(q + 2)**2
Factor 2/5*l**3 + 0*l - 8/5 + 6/5*l**2.
2*(l - 1)*(l + 2)**2/5
Let g = -4/175 + 183/350. Find w such that 0 + 0*w**2 + 1/2*w**3 - g*w = 0.
-1, 0, 1
Suppose 0 = 10*q - 7*q. Suppose -g + 2*g - 2 = q. Factor -1/3*j**g - 2/3 - j.
-(j + 1)*(j + 2)/3
Let l(u) be the second derivative of -u**6/10 + 3*u**5/20 + 3*u**4/4 - 5*u**3/2 + 3*u**2 + u. Factor l(w).
-3*(w - 1)**3*(w + 2)
Let g(w) be the first derivative of -4*w**6/3 + 2*w**5/5 + 2*w**4 - 2*w**3/3 + 3. Find a, given that g(a) = 0.
-1, 0, 1/4, 1
Let q(t) be the first derivative of 13*t**6/18 + 28*t**5/15 + t**4/3 - 26*t**3/9 - 17*t**2/6 - 2*t/3 + 22. Suppose q(d) = 0. Calculate d.
-1, -2/13, 1
Let u(s) be the first derivative of -s**8/2800 + s**6/200 - s**5/100 + 11*s**3/3 - 11. Let t(m) be the third derivative of u(m). Solve t(l) = 0 for l.
-2, 0, 1
Let s be (3/7)/(6/8). Suppose -5*q - 3 = -f, 5*q - 5 = -2*f + 1. Factor 4/7*t**f + 0*t**2 + 2/7*t**4 - 2/7 - s*t.
2*(t - 1)*(t + 1)*