+ 4/9*d = 0?
0, 2
Suppose 0 = 5*v - k - 6, 0*k = -2*v - 2*k + 12. Determine h so that -h - 1 + 1 + 0*h**2 - v*h**2 - h**3 = 0.
-1, 0
Let 2/3 - 1/3*n**2 - 1/3*n = 0. Calculate n.
-2, 1
Let x be (-7 - 344/(-56))*7/(-4). Factor 9/2*v**2 - 9/2*v**3 - x*v + 3/2*v**4 + 0.
3*v*(v - 1)**3/2
Let i(h) = -2*h**2 + 13*h - 3. Let v be (-240)/(-39) - 4/26. Let b be i(v). Let j**2 + 0 - 1/2*j**b - j**4 + 0*j + 1/2*j**5 = 0. Calculate j.
-1, 0, 1, 2
Let g(d) be the first derivative of -33*d**4/4 - 24*d**3 - 6*d**2 + 29. Let g(j) = 0. Calculate j.
-2, -2/11, 0
Let k(d) be the second derivative of 3*d**2 + 1/2*d**3 + 0 - 4*d - 1/4*d**4. Determine i so that k(i) = 0.
-1, 2
Let k = 24 - 23. Let y(i) be the first derivative of -k + 1/5*i**2 - 4/15*i**3 + 4/5*i - 1/10*i**4. Factor y(z).
-2*(z - 1)*(z + 1)*(z + 2)/5
Let y(l) = 2*l + 20. Let k be y(-7). Let z be k/9*(-9)/(-24). Factor 0*r**2 - 3/4*r + 1/2 + z*r**3.
(r - 1)**2*(r + 2)/4
Solve -6*l**4 + 10*l**2 + 72*l**3 - 19*l**4 - 2*l**3 + 15 - 15*l**5 - 55*l = 0 for l.
-3, -1, 1/3, 1
Suppose -2*a + 0*p = p - 9, 3*a + 3*p = 15. Factor -1/2*q**5 + 1/2*q**a + 0*q**2 + 0 + 0*q**3 + 0*q.
-q**4*(q - 1)/2
Let u = 2/71 - -57/497. Let y(b) be the first derivative of 4/21*b**3 + 0*b + 1/21*b**6 - u*b**2 + 0*b**4 - 4/35*b**5 - 1. What is j in y(j) = 0?
-1, 0, 1
Let u(n) be the second derivative of 8/9*n**3 + 5*n + 0 - 2/3*n**2 - 5/12*n**5 - 5/36*n**4. Suppose u(z) = 0. Calculate z.
-1, 2/5
Let h(q) = q**3 - 10*q**2 + 9*q + 4. Let r be h(9). Factor 0*j**3 - 2*j**2 + 2 - 2 + r*j**3 - 2*j.
2*j*(j - 1)*(2*j + 1)
Let n(o) be the third derivative of -4*o**7/105 - o**6/60 + 2*o**5/15 + o**4/12 + 2*o**2 + 20*o. Factor n(q).
-2*q*(q - 1)*(q + 1)*(4*q + 1)
Let b(w) be the second derivative of -w**4/14 + 20*w**3/21 + w**2 - 12*w. Let b(r) = 0. What is r?
-1/3, 7
Let f(y) be the third derivative of 0*y**4 + 0*y + 0*y**6 + 0 + 0*y**3 + 1/315*y**7 - 1/90*y**5 + y**2. Factor f(r).
2*r**2*(r - 1)*(r + 1)/3
Let f(v) be the third derivative of -v**5/12 - 5*v**4/24 - 4*v**2. Factor f(g).
-5*g*(g + 1)
Let c(d) be the second derivative of d**6/105 - d**5/14 + 4*d**4/21 - 4*d**3/21 + 3*d. Let c(p) = 0. Calculate p.
0, 1, 2
Let y(n) = -7*n**3 - 12*n**2 + 4*n + 12. Let w(a) = 6*a**3 + 12*a**2 - 4*a - 12. Let z(h) = -3*w(h) - 2*y(h). Factor z(t).
-4*(t - 1)*(t + 1)*(t + 3)
Suppose -18 = 21*d - 30*d. Determine k so that -4/7*k + 18/7*k**3 - d*k**5 - 10/7*k**4 + 10/7*k**2 + 0 = 0.
-1, 0, 2/7, 1
Let h(x) be the first derivative of -3/10*x**2 + 3/20*x**4 - 3/25*x**5 + 1/5*x**3 - 5 + 0*x. Let h(k) = 0. What is k?
-1, 0, 1
Let z(b) = -2*b**2 + 40*b + 44. Let n be z(21). Factor 0 + 1/2*o**n - o**3 + 0*o - 3/2*o**4.
-o**2*(o + 1)*(3*o - 1)/2
Solve -30/7*v**4 + 22/7*v**2 - 19/7*v**3 + 8/7 + 4*v - 9/7*v**5 = 0.
-2, -1, -2/3, 1
Let f(s) = -13*s**2 + 3*s + 10. Let h(v) = 38*v**2 - 9*v - 29. Let o(t) = -11*f(t) - 4*h(t). Determine m so that o(m) = 0.
-2/3, 1
Let a(w) be the second derivative of 0*w**2 + 1/4*w**5 + 4*w + 0 + 0*w**3 - 1/6*w**4 + 7/30*w**6. Find b, given that a(b) = 0.
-1, 0, 2/7
Let a(m) be the first derivative of -m**4/4 - 2*m**3/3 - m**2/2 - 1. Factor a(g).
-g*(g + 1)**2
Let k(f) = 3*f**2 - f. Suppose -s = -1 - 0. Let h be k(s). Factor 0*i - i - i**h + 2*i**2.
i*(i - 1)
Let d(z) be the second derivative of z**5/50 - z**4/10 + z**3/5 - z**2/5 - 6*z. Determine l, given that d(l) = 0.
1
Let s = 1441/5 - 287. Factor -6/5*n**3 - 2/5*n**2 + 2/5 + s*n.
-2*(n - 1)*(n + 1)*(3*n + 1)/5
Suppose 7*b - 4*b - 21 = 0. Determine f, given that -1 - 9*f**2 - 16*f**2 + 27*f**4 + b*f**2 + 8*f = 0.
-1, 1/3
Suppose 2*o = -g + 3*g + 2, 2*g + o - 10 = 0. Let y(d) be the first derivative of -2/21*d**g - 1/14*d**4 + 3 + 1/7*d**2 + 2/7*d. Solve y(f) = 0 for f.
-1, 1
Let o(k) be the third derivative of -k**5/140 + k**4/21 - 2*k**3/21 + 10*k**2. Factor o(c).
-(c - 2)*(3*c - 2)/7
Let r(p) be the second derivative of -p**5/100 + p**4/10 - 2*p**3/5 + 3*p**2/2 + 2*p. Let n(m) be the first derivative of r(m). Let n(x) = 0. Calculate x.
2
Let d(n) be the second derivative of n**6/15 + 3*n**5/5 + 3*n**4/2 + 4*n**3/3 - 17*n. Solve d(v) = 0 for v.
-4, -1, 0
Let o(n) be the third derivative of -1/6*n**4 - 1/3*n**5 + 6*n**2 + 0*n**3 + 0 + 0*n - 5/24*n**6. Solve o(z) = 0 for z.
-2/5, 0
Let x(l) be the second derivative of l**6/1980 - l**4/132 - l**3/3 - 2*l. Let k(g) be the second derivative of x(g). Suppose k(a) = 0. Calculate a.
-1, 1
Suppose 0*c - 15 = -5*c. What is o in -7*o**2 - 3*o + 4*o**2 + c*o**3 - 3*o**4 + 6*o**4 = 0?
-1, 0, 1
Suppose 4*g + 3 = h + 4, -h + 3*g = 0. Find j, given that -1/6*j**h - 1/3 + 1/6*j + 1/3*j**2 = 0.
-1, 1, 2
Let f(z) = -z**3 + 6*z**2 + 5. Let m be f(6). Let s be (-4)/(-10) + 8/m. Factor 0*u**s - 1/3*u**4 + 1/3*u**3 + 0 + 0*u.
-u**3*(u - 1)/3
Let v = 18 - 29. Let s = 11 + v. Let s*f + 0 + 0*f**2 + 2/5*f**3 = 0. Calculate f.
0
Let 0*j - 3/2*j**3 - 3/2*j**2 + 0 = 0. Calculate j.
-1, 0
Suppose -5*d + 1 = -u - 5, u = -5*d + 14. What is i in -2*i**2 - 2*i**3 + d*i - 6*i**4 + 2*i**4 + i**4 + 5*i**4 = 0?
-1, 0, 1
Let u = 25 + -34. Let j be u/3*(-2)/30. Determine l so that 1/5*l**2 + j*l**3 - 1/5*l - 1/5 = 0.
-1, 1
Suppose -75/4*u**2 + 45/4*u + 0 - 5/4*u**4 + 35/4*u**3 = 0. Calculate u.
0, 1, 3
Factor 11 - 16*s**2 + 13*s - 7 + 10*s**3 + 0*s**2 - 11*s.
2*(s - 1)**2*(5*s + 2)
Let q be ((-234)/52)/((-3)/2). Factor 0*a - 2/15*a**2 - 2/15*a**q + 0.
-2*a**2*(a + 1)/15
Suppose 15 = 9*n - 6*n. Let y(k) be the second derivative of 3*k**2 + 0 + 0*k**4 - 3/2*k**3 - k + 3/20*k**n. Let y(s) = 0. What is s?
-2, 1
Let g(v) = -v**3 + 5*v**2 + 9*v - 18. Let w be g(6). Suppose -2*s = -3*s + 16. Find b such that -6*b**3 + 10*b**2 - s*b + w + 3*b**3 + b**3 + 8 = 0.
1, 2
Suppose -5*d - 2*z = -10, z - 2*z - 5 = 0. Let l(n) be the third derivative of n**2 + 1/3*n**3 + 0 + 5/24*n**d - 1/30*n**5 + 0*n - 1/24*n**6. Factor l(s).
-(s - 1)*(s + 1)*(5*s + 2)
Let o(n) be the first derivative of n**2/2 - 5*n - 2. Let r be o(8). Determine q so that -2*q**4 - q**3 - q**2 - q**5 + 2*q**5 + r*q**4 = 0.
-1, 0, 1
Let d(m) be the first derivative of m**5/54 - m**4/27 - m**3/27 - 3*m**2/2 + 6. Let x(s) be the second derivative of d(s). Factor x(b).
2*(b - 1)*(5*b + 1)/9
Let a(x) = -3*x**3 + 2*x**2 + x - 2. Let k(r) = -r**3 + r**2 - 1. Let t(n) = a(n) - 2*k(n). Factor t(m).
-m*(m - 1)*(m + 1)
Let j(u) = -u**4 - u**3 + u**2 + u. Let s(y) = -6*y**4 + 24*y**3 + 33*y**2 + 3*y. Let r(g) = -3*j(g) + s(g). Factor r(m).
-3*m**2*(m - 10)*(m + 1)
Let j(k) be the first derivative of -k**6/1620 - k**5/135 - k**4/27 - k**3/3 - 1. Let o(m) be the third derivative of j(m). Factor o(i).
-2*(i + 2)**2/9
Determine n, given that 22*n**2 - 9*n**4 - 22*n**2 + 3*n**3 + 6*n**5 = 0.
0, 1/2, 1
Determine m, given that 27*m**3 + 7 - 11*m**2 - 15*m - 10 + 2*m**2 = 0.
-1/3, 1
Let m(a) be the third derivative of a**7/735 - a**6/140 - 3*a**5/70 - 5*a**4/84 + 39*a**2. Let m(g) = 0. What is g?
-1, 0, 5
Let r = 6 - 3. Let o be 1/3 - r/9. Suppose -s**3 + o*s**2 + 1/2*s**4 + s - 1/2 = 0. Calculate s.
-1, 1
Suppose 0 = 3*l + 2*l - 3*m + 83, -3*l - 53 = -m. Let n = 19 + l. Let n + 2/3*w**2 + 2/3*w = 0. What is w?
-1, 0
Let u(o) be the first derivative of o**6/15 + 4*o**5/25 - 4*o**3/15 - o**2/5 - 5. Suppose u(j) = 0. Calculate j.
-1, 0, 1
Let t be (1 + 0)*70/(-5). Let g = 16 + t. Solve -2/3*l**g + 4/3 + 2/3*l = 0.
-1, 2
Let l(j) = -2*j**2 + 8*j - 11. Let o(g) = 2*g**2 - 8*g + 10. Let t(b) = -4*l(b) - 5*o(b). Find q, given that t(q) = 0.
1, 3
Let f(d) be the second derivative of d**5/80 + d**4/16 - d**2/2 - 3*d + 1. Suppose f(t) = 0. Calculate t.
-2, 1
Let l(v) be the third derivative of -21*v**5/40 + 5*v**4/4 - v**3 - v**2. Factor l(s).
-3*(3*s - 2)*(7*s - 2)/2
What is o in 85*o**3 - 138*o**3 - 94*o**3 + 48 + 672*o**2 - 348*o = 0?
2/7, 4
Factor 14/11*f**2 - 2/11*f**3 - 32/11 - 16/11*f.
-2*(f - 4)**2*(f + 1)/11
Suppose 5*p - 29 = -2*u, -2*p = 4*u - 3*p - 3. Let c(b) be the second derivative of 3/20*b**5 + b**u - 1/6*b**4 - 2*b - 1/2*b**3 + 0. Factor c(s).
(s - 1)*(s + 1)*(3*s - 2)
Let u(q) be the third derivative of q**8/672 - q**7/210 - q**6/120 + q**5/30 + q**4/48 - q**3/6 - 27*q**2. Find c such that u(c) = 0.
-1, 1, 2
Let k(r) = -r**4 - 2*r**3 - r**2 - 3*r. Let l(t) = t**3 + t**2 + t. Let z(o) = -k(o) - 3*l(o). Determine g, given tha