n that 0 + 2*q**2 + 4/3*q**o - 4/3*q - 2*q**4 = 0.
-1, 0, 2/3, 1
Let x(z) be the third derivative of z**2 - 4/105*z**7 + 0*z - 1/10*z**6 + 0 - 1/168*z**8 + 0*z**3 - 2/15*z**5 - 1/12*z**4. Determine v so that x(v) = 0.
-1, 0
Let l(t) be the second derivative of -t**7/105 + t**6/25 - 3*t**5/50 + t**4/30 - t. Factor l(z).
-2*z**2*(z - 1)**3/5
Suppose -3/4*b - 3/4*b**3 + 3/2*b**2 + 0 = 0. What is b?
0, 1
Suppose 0 = 5*y - 7 - 8. Suppose i + 5*v - 7 = 0, -i - 3 = -2*v - y*v. Factor 2/9*o**i + 0*o - 2/9.
2*(o - 1)*(o + 1)/9
Let r(d) = d**2 - 2*d - 1. Suppose 0*h = -2*h - 2. Let c be r(h). Find y, given that -3 + 6*y**4 + 2 - 2*y**3 + 3*y - 3*y**4 - 2*y**c - y**5 = 0.
-1, 1
Let f be ((-38)/57)/(0 + 8/(-3)). Factor f*g + 1/4*g**2 + 0 - 1/2*g**3.
-g*(g - 1)*(2*g + 1)/4
Factor 0 - 1/5*x**2 + 0*x.
-x**2/5
Determine t, given that 20/3*t - 4/3*t**3 - 4 - 4/3*t**2 = 0.
-3, 1
Suppose 2*o + o - 3 = 0. Let c = o + 1. Solve 4*w + c*w + 3*w - 3*w**2 - 6 = 0 for w.
1, 2
Let o(s) be the second derivative of -s**7/56 + s**6/4 - 33*s**5/40 - 2*s**4 + 95*s**3/8 - 75*s**2/4 - 11*s. Determine z, given that o(z) = 0.
-2, 1, 5
Let x be 2*(-5)/(-2)*1. Let g(i) be the first derivative of -1/12*i**3 + 1 - 1/8*i**4 + 0*i + 0*i**2 - 1/20*i**x. Factor g(j).
-j**2*(j + 1)**2/4
Suppose 22*s = 11*s - 23*s. Factor 3/4*n + 3/4*n**4 - 3/4*n**2 + s - 3/4*n**3.
3*n*(n - 1)**2*(n + 1)/4
Let o(w) be the first derivative of -2/5*w**5 + 0*w**3 + 0*w**2 + 2 - 1/3*w**6 + 0*w + 0*w**4. Factor o(n).
-2*n**4*(n + 1)
Let j(g) be the first derivative of 0*g**3 + 1/60*g**6 + 0*g - 1/12*g**4 + 0*g**5 - 1 + g**2. Let t(a) be the second derivative of j(a). Factor t(i).
2*i*(i - 1)*(i + 1)
Let a be (-6)/(4 + (-252)/62). Let f = a - 649/7. Factor 10/7*y - f - 8/7*y**2.
-2*(y - 1)*(4*y - 1)/7
Let x(d) = d**5 + d**3 - d**2 - 1. Suppose 7*n - 2*n = -10. Let k(z) = -z**5 - 4*z**3 + 2*z**2 + z + 2. Let b(p) = n*x(p) - k(p). Suppose b(u) = 0. Calculate u.
-1, 0, 1
Let o = 229/68 + -19/17. Let t = -2 + o. Factor 0 - t*r**5 - 1/4*r**3 - 1/2*r**4 + 0*r + 0*r**2.
-r**3*(r + 1)**2/4
Determine t so that -1/5*t**3 - 1/5*t**4 + 1/5*t**5 + 1/5*t**2 + 0*t + 0 = 0.
-1, 0, 1
Let h(d) = 11*d + 33. Let w be h(-3). Suppose 6/5*x**3 + 6/5*x**4 + 2/5*x**5 + 2/5*x**2 + 0 + w*x = 0. Calculate x.
-1, 0
Let i(k) be the second derivative of -5*k**7/42 + 2*k**6/3 - 3*k**5/2 + 5*k**4/3 - 5*k**3/6 + 25*k. Factor i(u).
-5*u*(u - 1)**4
Let h(f) be the second derivative of -f**4/12 + 2*f**3/3 - 3*f**2/2 - 30*f. Determine g, given that h(g) = 0.
1, 3
Let c(u) be the second derivative of 1/6*u**3 + u**2 - 2*u + 0 - 1/4*u**4. Factor c(m).
-(m - 1)*(3*m + 2)
Let o be -2 + 4 - (-4)/2. Solve b**5 - 2 - o*b**3 - 4*b**5 + 4*b**5 + 2*b**2 + 3*b = 0 for b.
-2, -1, 1
Solve 2/3*r**3 - 3*r**2 - 1/3 - 13/6*r + 10/3*r**4 + 3/2*r**5 = 0.
-1, -2/9, 1
Let d(m) = 14*m**2 - 9*m - 5. Let b(u) = 15*u**2 - 9*u - 6. Suppose 6 = -5*i - 9. Let n(y) = i*d(y) + 2*b(y). Find l, given that n(l) = 0.
-1/4, 1
Let u(m) = m**2 + 10*m + 10. Let n be u(-9). Let x be n*(-3)/42*-8. Factor 0*o + 2/7 - x*o**2 + 0*o**3 + 2/7*o**4.
2*(o - 1)**2*(o + 1)**2/7
Suppose 0 = -0*p - 3*p + 6. Let f be 3*(-2)/(-9)*15/15. Factor 0*c - 4/3*c**3 - 2/3*c**4 + 0 - f*c**p.
-2*c**2*(c + 1)**2/3
Let y(o) be the first derivative of 12*o**3/5 - 14*o**2/5 - 8*o/5 - 2. Factor y(m).
4*(m - 1)*(9*m + 2)/5
Let x = -11/7 + 40/21. Let b(u) be the third derivative of 0 + x*u**4 - 3*u**2 + 1/105*u**7 + 1/3*u**3 + 0*u + 1/15*u**6 + 1/5*u**5. Factor b(c).
2*(c + 1)**4
Let m(d) = -d**2 - 2*d - 5. Let q be m(-3). Let h be (-9 - q)*(-2)/8. Let h*f**3 - 3/2*f**2 + 3*f - 2 = 0. Calculate f.
2
Suppose 0 = 5*h - 29 + 4. Suppose 0 = 3*c - h*c + 4. Factor -1/5*w**c + 1/5*w + 0.
-w*(w - 1)/5
Let b(h) = h**2 + 18*h + 7. Let w(q) = 3*q**2 + 63*q + 24. Let z(y) = 18*b(y) - 5*w(y). Let z(m) = 0. Calculate m.
-2, -1
Let u(q) be the third derivative of 3*q**6/40 + 4*q**5/5 + 17*q**4/8 + 2*q**3 - 5*q**2. What is i in u(i) = 0?
-4, -1, -1/3
Let i = -243/4 - -61. Let o(y) be the first derivative of 0*y - i*y**2 - 2 + 1/12*y**3. Factor o(v).
v*(v - 2)/4
Let v(d) = -4*d**4 - 20*d**3 - 23*d**2 + 9*d + 16. Let u(s) = 2*s**4 + 10*s**3 + 12*s**2 - 4*s - 8. Let k(i) = 11*u(i) + 6*v(i). Solve k(w) = 0.
-4, -1, 1
Suppose 2 = 2*d - 2. Factor -2*a**d + 0*a**4 - 7*a + 5*a - a**4 - 4*a**3 - 3*a**2.
-a*(a + 1)**2*(a + 2)
Let b(s) be the first derivative of 3*s**4/4 - 5*s**3 + 6. Find k, given that b(k) = 0.
0, 5
Let m(k) = -k**2. Let i(g) = 7*g**2. Suppose 3*c = -0*c + 3*s - 132, -s + 5 = 0. Let l(u) = c*m(u) - 6*i(u). Factor l(x).
-3*x**2
Factor 0 - 2/3*p**3 + 0*p**2 + 2/3*p.
-2*p*(p - 1)*(p + 1)/3
Let m be 20/(-3)*(-8 + (-2604)/(-330)). Factor -m*s**3 + 2/11 + 2/11*s**4 - 8/11*s + 12/11*s**2.
2*(s - 1)**4/11
Determine m so that -1/2*m**2 + 0*m + 0 = 0.
0
Suppose -r - 3*r + 8 = -3*c, -4*c - 4*r + 36 = 0. Let x(n) be the third derivative of 0*n**3 + 0*n**c - 1/30*n**5 + 2*n**2 + 0*n + 0. Solve x(b) = 0 for b.
0
Let o(c) be the second derivative of 0*c**5 - 2*c - 1/75*c**6 - 1/30*c**3 + 1/30*c**4 + 0 + 0*c**2 + 1/210*c**7. Factor o(s).
s*(s - 1)**3*(s + 1)/5
Let n(b) = -3*b**4 - 16*b**3 - 3*b**2 + 2*b + 13. Let m(g) = g**4 + 5*g**3 + g**2 - g - 4. Let u(j) = -7*m(j) - 2*n(j). Let u(p) = 0. Calculate p.
-2, -1, 1
Let g(l) be the third derivative of l**6/40 + l**5/20 - 34*l**2. Factor g(m).
3*m**2*(m + 1)
Factor 0*z - 9/5*z**3 + 0 + 9/5*z**4 - 3/5*z**5 + 3/5*z**2.
-3*z**2*(z - 1)**3/5
Let w be -1 - -3 - (6 + 0). Let d be -1*(-1 - w/6). Factor 1/3*o**2 - d*o + 0.
o*(o - 1)/3
Let n = 151/77 + -20/11. Let q(b) be the first derivative of 2/7*b**2 + 1 - n*b**4 - 2/35*b**5 + 0*b + 2/21*b**3. Determine w, given that q(w) = 0.
-2, -1, 0, 1
Suppose -5*h = -4*w + 13 + 4, 0 = -5*w - h + 14. Determine y so that -21/4*y**5 + 0 - 3*y**2 - y + 15/4*y**w + 11/2*y**4 = 0.
-2/3, -2/7, 0, 1
Let z(c) be the first derivative of 81*c**3 + 54*c**2 + 12*c - 3. Factor z(m).
3*(9*m + 2)**2
Suppose -5*a = -4*n - 12 - 6, -3*n = a + 4. Determine g so that 2*g - 5*g**3 + g**5 - a*g + g**4 - g**2 + 4*g**3 = 0.
-1, 0, 1
Let d(n) be the second derivative of 2*n**4/3 + 4*n**3 + 9*n**2 - 5*n. Factor d(b).
2*(2*b + 3)**2
Let a(g) be the first derivative of 17*g**4/14 + 10*g**3/7 - 36*g**2/7 + 8*g/7 - 1. Let a(l) = 0. What is l?
-2, 2/17, 1
Suppose 4*o - 36 = 4*v, 0*o = -2*o - 2*v + 2. Factor -5*x**o - x**5 + 5*x**5 + x**4.
-x**4*(x - 1)
Let w(a) = -a**3 + a**2 + 1. Let p(r) be the second derivative of 3*r - r**2 - 1/6*r**3 - 1/6*r**4 + 0 + 3/20*r**5. Let v(n) = -p(n) - 2*w(n). Factor v(x).
-x*(x - 1)*(x + 1)
Let w(u) be the first derivative of u**8/3360 + u**7/672 + u**6/720 + u**3 - 3. Let i(h) be the third derivative of w(h). Factor i(j).
j**2*(j + 2)*(2*j + 1)/4
Suppose -319*o**2 + 20 - 3*o**4 - 788 - 48*o**3 - 768*o + 31*o**2 = 0. Calculate o.
-4
Let p(q) = 3*q**4 - 2*q**3 - 2*q**2 + 4*q + 1. Let g(n) = -7*n**4 + 4*n**3 + 5*n**2 - 9*n - 3. Let s(k) = -4*g(k) - 10*p(k). What is z in s(z) = 0?
-1, 1
Let h(p) = 3*p**2. Let m(d) = d**2. Let s(l) = h(l) - 4*m(l). Suppose s(j) = 0. Calculate j.
0
Let s(j) be the first derivative of 0*j + 3 + 0*j**2 + 1/5*j**3. Determine q, given that s(q) = 0.
0
Let l(p) = -3*p**3 + p**2 - 2*p + 1. Let t be l(1). Let w be ((-2)/t)/(5/15). Find m, given that -3*m - m - 5 - 2*m**w + 3 = 0.
-1
Let r(f) = 2*f**2 + f. Let j be r(1). Let p be -1 + 4/2 + 1. Find g such that -3*g**j - 2 + 0*g**4 + p*g**4 + 4*g - g**3 = 0.
-1, 1
Let j(l) be the first derivative of 2*l**3/21 + 10*l**2/7 - 43. Solve j(o) = 0 for o.
-10, 0
Suppose -24*m**3 - 6*m**2 + 24*m**5 + 3*m**4 - 4 - 34*m**4 + 3*m**4 + 38*m**2 = 0. What is m?
-1, -1/3, 1/2, 1
Let s(q) be the second derivative of q**4/84 + q**3/42 - 3*q**2/7 - 10*q. Solve s(v) = 0 for v.
-3, 2
Let v(j) be the second derivative of j**6/75 - j**5/25 + 2*j**3/15 - j**2/5 + 12*j. Factor v(m).
2*(m - 1)**3*(m + 1)/5
Suppose 0 = -10*o + 9*o. Let z(r) be the second derivative of o - 3/10*r**5 - 2/15*r**6 - 3/16*r**4 - 1/24*r**3 + 3*r + 0*r**2. Find s such that z(s) = 0.
-1, -1/4, 0
Suppose -3*m + 14 = -4. Let z be (7 - m)*(4 + 0). Let 0*s - z*s**3 - 8/3*s**5 + 2/3*s**2 + 0 + 6*s**4 = 0. What is s?
0, 1/4, 1
Let d = 47 + -139/3. Let c(w) be the first derivative of 1 - d*w**3 + 4*w - w**2. Factor c(r).
-2*(r - 1)*(r + 2)
