 be the first derivative of -q**4/22 - 2*q**3/33 + 2*q**2/11 - 3. Suppose k(o) = 0. What is o?
-2, 0, 1
Let s = -23 + 15. Let m = s + 10. Find t, given that -t**3 - 1/2 + 1/2*t**4 + t + 0*t**m = 0.
-1, 1
Let b(w) be the second derivative of w**7/4200 - w**5/600 - w**3/6 + w. Let c(x) be the second derivative of b(x). Find f such that c(f) = 0.
-1, 0, 1
Let v be (270/(-8))/((-3)/12). Let x = v - 673/5. Determine u so that x*u**2 + 2/5*u + 0 = 0.
-1, 0
Let z(r) be the first derivative of -r**4/2 + 3*r**2 + 4*r + 22. Solve z(x) = 0 for x.
-1, 2
Let r be 12*3/(-5)*-30. Let v be 4/(-22) - r/(-462). Factor -v*g + 2/7*g**3 + 2/7*g**2 - 2/7.
2*(g - 1)*(g + 1)**2/7
Let w(s) = 6*s**3 - 8*s**2 - 8. Let y(g) = -g**3 - 5*g**2 - 5. Let f(x) = x**3. Let d(c) = -5*f(c) - y(c). Let h(o) = 8*d(o) + 5*w(o). Factor h(l).
-2*l**3
Find m such that -4*m + 1 + m**3 + m**3 + 3 + 2*m**3 - 4*m**2 = 0.
-1, 1
Suppose 4/7*m**2 + 6/7*m**5 - 8/7*m**3 + 2/7*m + 0 - 4/7*m**4 = 0. Calculate m.
-1, -1/3, 0, 1
Suppose -5*l = -3*w + 7, 4*l = 3*w - 2 - 6. Let n(k) = 2*k - 5. Let d be n(w). Factor 0 - 1/2*q**2 + 1/2*q**4 - 1/2*q**d + 1/2*q.
q*(q - 1)**2*(q + 1)/2
Let s(c) = 15*c**5 - 31*c**4 + 22*c**3 - c**2 + 5. Let w(m) = 7*m**5 - 15*m**4 + 11*m**3 - m**2 + 2. Let z(a) = -2*s(a) + 5*w(a). Factor z(h).
h**2*(h - 1)**2*(5*h - 3)
Suppose 1/2*s**2 - 1/2*s + 1/2*s**3 - 1/2 = 0. What is s?
-1, 1
Let j(h) be the second derivative of 0 - 1/5*h**5 + 1/21*h**7 + 0*h**6 - 5*h + 0*h**2 + 0*h**4 + 1/3*h**3. Factor j(b).
2*b*(b - 1)**2*(b + 1)**2
Let s = 34 - 30. Let j(p) be the second derivative of -p + 1/4*p**2 + 0 + 1/20*p**5 - 1/60*p**6 + 0*p**s - 1/6*p**3. Factor j(a).
-(a - 1)**3*(a + 1)/2
Let y = -243 + 2675/11. Factor y*u + 4/11 - 2/11*u**2.
-2*(u - 2)*(u + 1)/11
Let j(d) = d**3 + 7*d**2 - 12*d - 10. Suppose 32 = -3*z - z. Let o be j(z). Find l, given that 3*l**5 - 42*l**3 - 13*l**5 - 4*l + 31*l**4 + 3*l**4 + o*l**2 = 0.
0, 2/5, 1
Let z(x) = -12*x**3 + 2*x**2 + 8*x - 2. Let u(s) = 35*s**3 - 5*s**2 - 24*s + 5. Let w(y) = 4*u(y) + 11*z(y). Factor w(r).
2*(r - 1)*(r + 1)*(4*r + 1)
Let p(f) be the first derivative of 0*f**3 + 1/96*f**4 + 1/240*f**5 + 0*f + 1 - 1/2*f**2. Let y(r) be the second derivative of p(r). Factor y(n).
n*(n + 1)/4
Let m(d) be the first derivative of -d**5 + 15*d**4/2 - 65*d**3/3 + 30*d**2 - 20*d - 47. Determine c, given that m(c) = 0.
1, 2
Suppose 4*l + r + 1 = 0, 3*l - 10*r + 12*r = -2. Factor 0*o**2 + 0*o + 2/5*o**5 - 2/5*o**4 + 0*o**3 + l.
2*o**4*(o - 1)/5
Let b be -2 - 2 - 26/(-5). Factor 6/5*c**3 - 2/5*c**4 + 0 + 2/5*c - b*c**2.
-2*c*(c - 1)**3/5
Let v(l) = 12*l**4 - 30*l**3 - 44*l**2 - 48*l - 18. Let q(p) = -p**4 + p**3. Let i(f) = -28*q(f) - 2*v(f). Factor i(s).
4*(s + 1)**2*(s + 3)**2
Let u(f) = f + 1. Let b(j) = j**2 + 2*j + 4. Let y(d) = -3*b(d) + 12*u(d). Factor y(x).
-3*x*(x - 2)
Factor 7*w - 7*w + w + w**2 - 1 - 1.
(w - 1)*(w + 2)
Let s = -245206/21 + 11680. Let h = s - 13/7. Determine b so that -h*b**4 - 10/3*b**3 - 10/3*b**2 - 5/3*b - 1/3*b**5 - 1/3 = 0.
-1
Factor -2/3*a - 2/3*a**2 + 4/3.
-2*(a - 1)*(a + 2)/3
Suppose 0 = 2*l + 2*l - 5*j, 0 = -3*l - 5*j. Let t(w) be the third derivative of 1/12*w**4 + 1/3*w**3 - w**2 + 0*w + l + 1/120*w**5. Solve t(a) = 0.
-2
Factor 15*u - 6*u + 73*u**2 - 76*u**2.
-3*u*(u - 3)
Let d(r) = 8*r**2 - 9*r - 9. Let m(g) = -3*g**2 + 3*g + 3. Let u(i) = -4*d(i) - 11*m(i). Let x be u(-3). Factor -2*a - 1/2 - 2*a**3 - 1/2*a**4 - x*a**2.
-(a + 1)**4/2
Let x(t) be the second derivative of t**9/120960 + t**8/17920 + t**7/10080 + t**4/12 + t. Let s(v) be the third derivative of x(v). Factor s(c).
c**2*(c + 1)*(c + 2)/8
Let i(l) be the third derivative of -l**8/3360 - l**7/630 - l**6/360 - l**4/6 - 5*l**2. Let n(m) be the second derivative of i(m). Suppose n(f) = 0. What is f?
-1, 0
Let f(c) be the second derivative of -c**5/30 + c**4/18 + 5*c**3/9 + c**2 - 5*c. Suppose f(s) = 0. What is s?
-1, 3
Solve 470/3*y**3 - 15 - 95*y**4 - 65*y + 10/3*y**2 + 15*y**5 = 0.
-1/3, 1, 3
Let p = -16 + 10. Let n = p - -10. Let 3*v**5 + 4*v**5 + 11*v**3 + 2*v**2 - 2*v**n + 18*v**4 = 0. What is v?
-1, -2/7, 0
Let m(z) be the second derivative of -z**6/75 + z**4/15 - z**2/5 - 14*z. Determine s so that m(s) = 0.
-1, 1
Let q(v) be the first derivative of v**4/2 - 2*v**3/3 - 17. Factor q(h).
2*h**2*(h - 1)
Factor 1/3*i**4 + i**2 - 5/3*i**3 + 3*i + 0.
i*(i - 3)**2*(i + 1)/3
Let l(q) be the first derivative of -56*q**5/25 - 57*q**4/10 + 4*q**2/5 + 11. Find t such that l(t) = 0.
-2, -2/7, 0, 1/4
Let n(y) be the first derivative of 1/7*y**2 - 1/7*y**4 - 4/21*y**3 - 1 + 1/21*y**6 + 2/7*y + 2/35*y**5. Find c such that n(c) = 0.
-1, 1
Let q(b) = 4*b - 7. Let r be q(5). Suppose -r + 4 = -3*y. Factor -4*z + 3*z - z**3 + 2*z**y.
z*(z - 1)*(z + 1)
Let v(r) be the third derivative of r**7/12600 - r**6/1800 + r**4/24 - r**2. Let b(l) be the second derivative of v(l). Let b(a) = 0. What is a?
0, 2
Let a(r) be the third derivative of r**9/20160 - r**7/1680 - r**5/20 - r**2. Let z(c) be the third derivative of a(c). Factor z(t).
3*t*(t - 1)*(t + 1)
Let l be 7/(-3) - (-1)/3. Let m(r) = r**2 - 1. Let x be m(l). Factor -2*n**2 + 5/2*n - 1 + 1/2*n**x.
(n - 2)*(n - 1)**2/2
Let a(w) be the first derivative of -3*w**5/5 - 3*w**4/2 - w**3 - 8. Factor a(b).
-3*b**2*(b + 1)**2
Let r(z) be the second derivative of -z**4/8 - z**3/2 + 19*z. Factor r(w).
-3*w*(w + 2)/2
Suppose 7 = 2*d + h, 3*h - 2 = -d + 4*h. Let j(w) be the first derivative of 0*w + 1 + 2/5*w**2 - 2/15*w**d. Find o, given that j(o) = 0.
0, 2
Let l be 4 + -4 - 20/(-12). Let w(p) be the second derivative of -2/3*p**4 + l*p**3 - 4*p - p**2 + 0. Factor w(r).
-2*(r - 1)*(4*r - 1)
Let p(i) = i + 1. Let c be (8/(-6))/((-14)/21). Let l(t) = -t**3 - t**2 - t - 1. Let y(m) = c*p(m) + l(m). Factor y(h).
-(h - 1)*(h + 1)**2
Find a, given that 16/3*a - 4/3*a**3 + 32/3 - 8*a**2 + 4/3*a**4 = 0.
-2, -1, 2
Suppose 4/5 + 26/5*h**2 - 2*h**3 + 4/5*h**5 - 18/5*h - 6/5*h**4 = 0. Calculate h.
-2, 1/2, 1
Let f(r) = 3*r**2 - 11*r - 8. Let o(j) = 29 - 2*j**2 + 10*j + 0*j - 22. Let g(t) = 5*f(t) + 6*o(t). Determine c, given that g(c) = 0.
-1, -2/3
Let l be (2 + 4 + -3)/((-429)/(-26)). Factor 4/11 + l*c**2 - 6/11*c.
2*(c - 2)*(c - 1)/11
Let m(f) = -8*f**2 - f + 3. Let j(b) = -48*b**2 - 5*b + 17. Let q(c) = -6*j(c) + 34*m(c). Let q(n) = 0. Calculate n.
0, 1/4
Let k(n) be the third derivative of -n**5/105 + 3*n**2. What is f in k(f) = 0?
0
Let z(a) be the third derivative of -a**6/420 + 2*a**5/105 - 5*a**4/84 + 2*a**3/21 - 4*a**2. Suppose z(d) = 0. Calculate d.
1, 2
Let 0 + 0*s + 2/9*s**2 - 2/9*s**3 + 2/9*s**5 - 2/9*s**4 = 0. Calculate s.
-1, 0, 1
Let l(p) be the second derivative of -p**4/120 + p**3/60 + p**2/10 - 17*p. Factor l(z).
-(z - 2)*(z + 1)/10
Let q(t) = t**2 - t - 1. Let p be q(3). Suppose 0 = p*l - 5. Let l + 1/2*n**3 - 3/2*n + 0*n**2 = 0. Calculate n.
-2, 1
Suppose -h = 2*h. Suppose -y = 3*z - 16, h*z + y + 24 = 5*z. Let -2/9*b + 2/9*b**z + 4/9*b**4 + 0*b**3 - 4/9*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Let l be (-32)/(-20)*(-5)/(-2). Suppose 2 - l = -2*a. What is b in 0*b**2 + 3*b + a - b + b**2 = 0?
-1
Let r(s) be the third derivative of s**7/630 - s**6/40 + 2*s**5/15 - 2*s**4/9 + 22*s**2. Factor r(b).
b*(b - 4)**2*(b - 1)/3
Let g(v) be the third derivative of v**8/8960 - v**7/1120 + v**6/480 + 3*v**4/8 - 8*v**2. Let b(q) be the second derivative of g(q). Solve b(a) = 0 for a.
0, 1, 2
Let j = -15 - -23. Suppose 4*z - 12 = r - 0*r, 0 = 2*z - 4*r + j. Determine d, given that -2/5*d**2 - 1/5*d + 2/5*d**z + 1/5*d**3 + 0 = 0.
-1, -1/2, 0, 1
Solve -93*k**2 - 49/2*k**4 + 175/2*k**3 + 34*k - 4 = 0.
2/7, 1, 2
Let p(a) = 11*a**4 - a**3 + 6*a**2 + 6. Let b(w) = -21*w**4 + w**3 - 11*w**2 - 11. Let f(n) = 6*b(n) + 11*p(n). Factor f(g).
-5*g**3*(g + 1)
Factor 13*q**4 - 3*q**3 - 5*q**3 + 8*q + 7*q**4 - 147*q**2 + 127*q**2.
4*q*(q - 1)*(q + 1)*(5*q - 2)
Determine o so that 8*o + 3*o**2 - 13*o - 2*o**2 + 6 + 0*o = 0.
2, 3
Find i such that 0 - 6/5*i**4 + 0*i + 3/5*i**3 - 3/5*i**5 + 6/5*i**2 = 0.
-2, -1, 0, 1
Find j such that 3/7*j + 0*j**2 - 3/7*j**3 + 0 = 0.
-1, 0, 1
Let x(r) be the first derivative of -r**3/6 - 4. Determine p so that x(p) = 0.
0
Let c(h) be the third derivative of -h**7/1680 - h**6/480 + h**5/480 + h**4/96 + 4*h**2. What is r in c(r