Find q, given that -1/2*q + 1/2*q**f + 0 + k*q**2 = 0.
-1, 0, 1
Suppose -5*b + 20 = s, -23 = -6*s + 2*s - b. Let -2/5*w**3 + 4/5*w**4 - 2/5*w**s + 0 + 0*w**2 + 0*w = 0. Calculate w.
0, 1
Factor 2*w**4 - w**5 - w + 14*w**2 - 16*w**2 + 2*w**5.
w*(w - 1)*(w + 1)**3
Let n(s) = 4*s**4 - s**3 - 7*s**2 + 4*s. Let f(a) = -20*a**4 + 4*a**3 + 36*a**2 - 20*a. Let v(k) = -3*f(k) - 16*n(k). Factor v(x).
-4*x*(x - 1)**2*(x + 1)
Let b(s) be the second derivative of s**4/3 + 4*s**3/3 + 14*s. Let b(n) = 0. Calculate n.
-2, 0
Factor 3 - 3*o**3 - 16*o + 9*o + 10*o + 3 - 6*o**2.
-3*(o - 1)*(o + 1)*(o + 2)
Let g = 70 + -68. Solve -1/2*p**g + 3*p - 9/2 = 0 for p.
3
Find t, given that 2/7*t**2 - 2/7 + 0*t = 0.
-1, 1
Let j(z) be the first derivative of -9*z**5/20 - 15*z**4/8 - 13*z**3/12 + 5*z**2/2 - z - 35. Factor j(k).
-(k + 2)**2*(3*k - 1)**2/4
Let m(l) = -2*l - 7 - 11*l**2 - 2 - 5*l. Let s(w) = 5*w**2 + 3*w + 4. Let p(o) = -4*m(o) - 9*s(o). Factor p(z).
-z*(z - 1)
Suppose -92 = -5*g - 82. Let f(a) be the first derivative of g*a**2 - 4/5*a**5 + a + 3 - a**4 + a**3. Factor f(v).
-(v - 1)*(v + 1)*(2*v + 1)**2
Suppose -6*j = 6*j - 36. Let q(a) be the first derivative of 4 - 3/2*a**4 - j*a**5 + 5*a**3 + 3*a**2 + 0*a. Factor q(f).
-3*f*(f - 1)*(f + 1)*(5*f + 2)
Let a(t) be the third derivative of t**6/120 - t**5/10 + t**4/2 - 4*t**3/3 + 5*t**2. Find x such that a(x) = 0.
2
Determine t so that 0*t + 0 - 1/4*t**5 - 1/2*t**2 - t**4 - 5/4*t**3 = 0.
-2, -1, 0
Suppose 2*m**4 - 4*m + 3*m + 8*m**4 + 6*m - 10*m**2 - 5*m**5 = 0. What is m?
-1, 0, 1
Let q be 45/(-36)*(-8)/2. Let t(u) = 9*u**2 - u - 3. Let m(z) = -6 - z + 2 - z + 14*z**2. Let h(v) = q*m(v) - 8*t(v). Factor h(o).
-2*(o - 1)*(o + 2)
Let f = -16042704/77 - -208340. Let q = f + 78/11. Factor -q*x**2 + 0 - 4/7*x.
-2*x*(x + 2)/7
Factor -13/4*r**3 - 1/4*r**5 - 3/2*r**4 - r + 0 - 3*r**2.
-r*(r + 1)**2*(r + 2)**2/4
Let s(q) be the second derivative of q**4/108 + q**3/18 + q**2/9 + 16*q. Factor s(k).
(k + 1)*(k + 2)/9
Let u = 11/42 - 1/84. Suppose -u*g**4 - 1/4*g + 1/4*g**3 + 0 + 1/4*g**2 = 0. What is g?
-1, 0, 1
Suppose 3*f - f = -12. Let c be (-14)/(-4) - 3/f. Factor -2/7*k**5 + 10/7*k**c + 20/7*k**2 + 2/7 - 20/7*k**3 - 10/7*k.
-2*(k - 1)**5/7
Let r(f) = 7*f**4 - 2*f**3 - 4. Let g(s) = -7*s**4 + s**3 + 3. Let d(b) = -4*g(b) - 3*r(b). Factor d(v).
v**3*(7*v + 2)
Suppose -2*k = 3*w - 0*k - 10, 4*w + 3*k = 15. Factor -1/5*g**4 + 0*g**3 + w + 0*g + 1/5*g**2.
-g**2*(g - 1)*(g + 1)/5
Let r(l) be the first derivative of 5*l**6/42 + 12*l**5/35 - 11*l**4/28 - 46*l**3/21 - 18*l**2/7 - 8*l/7 + 39. Find x such that r(x) = 0.
-2, -1, -2/5, 2
Let x(q) be the second derivative of -1/60*q**6 + 3/80*q**5 - 1/24*q**3 + 0 - 3*q + 0*q**2 + 0*q**4. Factor x(z).
-z*(z - 1)**2*(2*z + 1)/4
Let k be (2/3)/((-6)/(-9)). Let l = 1 - k. Find i such that -4*i - 2 + l - 2 - i**2 = 0.
-2
Determine u, given that 2/9*u**2 + 1/9*u - 1/9*u**3 - 2/9 = 0.
-1, 1, 2
Let w(r) = r**3 + 8*r**2 + 11*r + 7. Let v(c) = -c**3 - 9*c**2 - 12*c - 8. Let z(m) = 3*v(m) + 4*w(m). Suppose z(i) = 0. Calculate i.
-2, -1
Let q(y) be the first derivative of 0*y + 2/9*y**2 + 3 - 2/27*y**3. Let q(r) = 0. Calculate r.
0, 2
Suppose 2 + 10/3*f - 2/3*f**3 + 2/3*f**2 = 0. Calculate f.
-1, 3
Factor -1/3*g**3 + 4/3*g**2 - 4/3*g + 0.
-g*(g - 2)**2/3
Let -4/9*w**2 + 0*w**4 + 0 + 2/9*w**5 + 0*w - 2/3*w**3 = 0. Calculate w.
-1, 0, 2
Let k(u) be the first derivative of -2*u**3/21 + 2*u/7 - 7. Factor k(r).
-2*(r - 1)*(r + 1)/7
Solve q**2 - 47*q + 15*q + 119 + 322 - 10*q = 0.
21
Let v = -17 - -32. Suppose v = -0*m + 5*m. Factor 0*r**2 + 12 + 4*r**2 - 24*r - r**2 + 15*r**3 - m*r**4 - 3*r**5.
-3*(r - 1)**3*(r + 2)**2
Suppose -2/7*g - 4/7 + 2/7*g**2 = 0. What is g?
-1, 2
Suppose 2/3*u**3 - 1/3*u**5 + 0*u**4 + 0 - 1/3*u + 0*u**2 = 0. What is u?
-1, 0, 1
Let h(b) = 6*b**5 - 6*b**4 + 14*b**3 - 2*b**2 - 20*b + 12. Let l(g) = -g**5 - g**4 + g**2 + g - 1. Let t(i) = h(i) + 4*l(i). Find d such that t(d) = 0.
-1, 1, 2
Let n(w) be the first derivative of 4/3*w**3 + 1/2*w - 9/8*w**2 + 3/10*w**5 - 6 - 7/8*w**4 - 1/24*w**6. Suppose n(p) = 0. What is p?
1, 2
Suppose 4*q + q - 65 = 0. Suppose -12 = -4*z + c, -5*z + 2 = c - q. Let 1 - 3 + 3 + 8*a**2 - 3*a - 4*a**z - 2*a = 0. Calculate a.
1/2, 1
Let j be (-29)/3 + (-3)/9. Let i be 2/(-10) + (-22)/j. Let 2*b + 3*b**2 - 2*b**4 + i*b**3 - b**2 - 4*b = 0. What is b?
-1, 0, 1
Let d(p) be the first derivative of -2*p**5/35 + 3*p**4/14 - 4*p**2/7 + 7. Solve d(k) = 0.
-1, 0, 2
Let v(y) = -3*y**2 + 9*y - 63. Let b(u) = u + 1. Let i(c) = -15*b(c) - v(c). Factor i(x).
3*(x - 4)**2
Suppose 4*q = -4*f - f - 31, 8 = 4*f - 5*q. Let o be (2/f)/(2/(-9)). Factor -2*y + y**2 + 4*y**2 - o*y**2.
2*y*(y - 1)
Suppose -3*j + 7*j - 62 = -3*x, 0 = -5*j - 2*x + 81. Let u = j + -81/5. Solve 2/5*n**4 + 0*n**2 + 4/5*n**3 - u*n - 2/5 = 0.
-1, 1
Let f(v) = v**5 - 6*v**4 - 6*v**3 + 5*v. Let r(l) = -4*l**5 + 19*l**4 + 19*l**3 + l**2 - 15*l + 1. Let o(w) = 14*f(w) + 4*r(w). Suppose o(a) = 0. Calculate a.
-2, -1, 1
Suppose -4*i = -9*i + 25. Find y, given that -4*y**5 - 6*y**2 + 6*y**4 + 2*y + 5*y**i - 10*y**3 + 7*y**5 = 0.
-1, 0, 1/4, 1
Let m(t) = -12*t**4 + 8*t**3 - 4*t**2. Let r(l) = -l**5 - 24*l**4 + 15*l**3 - 8*l**2. Let k(q) = 9*m(q) - 4*r(q). Factor k(s).
4*s**2*(s - 1)**3
Let o(p) be the first derivative of -2 - 3*p - 1/9*p**3 - p**2. Factor o(s).
-(s + 3)**2/3
Suppose q + 2 - 6 = -2*b, 4*q - 3*b = 16. Find f such that -6*f**4 + q*f**4 - f**2 + f**5 - f**4 + 3*f**3 = 0.
0, 1
Let y(h) be the second derivative of h**7/189 - h**5/45 + h**3/27 - 12*h. Determine w, given that y(w) = 0.
-1, 0, 1
Let b(h) be the third derivative of h**11/110880 - h**10/16800 + h**9/10080 - h**5/12 - 5*h**2. Let n(s) be the third derivative of b(s). Factor n(c).
3*c**3*(c - 2)*(c - 1)
Factor 0 + 2/9*n**3 - 2/9*n**4 + 2/9*n**2 + 0*n - 2/9*n**5.
-2*n**2*(n - 1)*(n + 1)**2/9
Let a(u) = 4*u**3 - 8*u**2 - 28*u - 16. Let b(c) = -5*c**3 + 7*c**2 + 28*c + 16. Let d(n) = 7*a(n) + 6*b(n). Factor d(m).
-2*(m + 1)*(m + 2)*(m + 4)
Let u(a) = -a**2 + 3*a + 3. Suppose -2*h = -5 - 1. Let t be u(h). Factor 0 - 8/9*y**t + 0*y + 2/3*y**4 - 8/9*y**2.
2*y**2*(y - 2)*(3*y + 2)/9
Factor -14/3*r**2 - 10/3*r**4 + 2/3*r**5 + 6*r**3 + 4/3*r + 0.
2*r*(r - 2)*(r - 1)**3/3
Let b(p) be the third derivative of 0*p**3 + 0*p**4 + 0*p**5 + 0*p - 1/840*p**7 + 0 + 1/480*p**6 - p**2. Factor b(w).
-w**3*(w - 1)/4
Suppose -v**5 - 44*v**2 - 6*v**3 + 0*v**5 - 4*v**4 + 40*v**2 - v = 0. What is v?
-1, 0
Let h(j) be the second derivative of j**7/840 - j**6/120 - j**4/6 + j. Let w(c) be the third derivative of h(c). Find l, given that w(l) = 0.
0, 2
Let v(z) = z**2 + 2*z - 2. Let s be v(1). Suppose 2*u = -5*q + s, 0 = -2*u + 2*q + 8 - 0. What is o in -1/2*o**u + 0 - 1/2*o + o**2 = 0?
0, 1
Suppose q = 3*x + 9, -q + 2*x + 10 = q. Factor 4*n**5 + q*n**5 + 18*n**4 + 12*n + 32*n**3 - 3*n**5 - 4 + 6 + 28*n**2.
2*(n + 1)**4*(2*n + 1)
Let j be (3/(-2))/(4/(-8)). Find m such that 0*m**4 - 2*m - 9*m**2 - m - 9*m**3 - j*m**4 = 0.
-1, 0
Factor 13*o**4 - 48*o**3 - o**5 - 3522*o + 3522*o + 36*o**2.
-o**2*(o - 6)**2*(o - 1)
Let q(m) be the third derivative of m**7/2940 - m**6/630 + m**5/420 - m**3/6 + 3*m**2. Let r(s) be the first derivative of q(s). Factor r(h).
2*h*(h - 1)**2/7
Let h = 27 - 25. Let y be h + (-2)/8*0. Factor -1/6*t**y + 0 - 1/6*t.
-t*(t + 1)/6
Let n = 429 - 875/2. Let q = n - -9. Determine m so that 0 - 1/2*m - q*m**2 = 0.
-1, 0
Suppose -2*k + 16 = 3*v, 2*k + 0*k = 10. Suppose -m - 2*m + 5*h = -11, -9 = -v*m + 5*h. Factor 2 + 12*w + 3 + 1 - m + 5*w**2.
(w + 2)*(5*w + 2)
Let j be -2 + (324/15)/6. Determine a, given that 8/5*a + j + 2/5*a**2 = 0.
-2
Suppose -z - 8 = -4*h - 0*h, -3*h + 6 = -3*z. Let g(j) be the first derivative of 1/3*j**3 - h + 0*j - j**2. Find l such that g(l) = 0.
0, 2
Let g(s) be the first derivative of -1/4*s - 1 - 1/16*s**4 + 1/12*s**3 + 1/8*s**2. Find t, given that g(t) = 0.
-1, 1
Let i(v) = -v**4 + 2*v**3 + 4*v**2 + 5*v + 5. Let b(x) = x**4 - 2*x**3 - 3*x**2 - 4*x - 4. Suppose -2*r = 3*r + 20. Let u(a) = r*i(a) - 5*b(a). Factor u(l).
-l**2*(l - 1)**2
Let q = 53 - 529/10. Let p(y) be the first derivative of 0*y**2 - 2/25*y**5 + 0*y**3 + 0*y + 3 + q*y**4. Factor p(b).
-2*b**3*(b - 1)/5
Let q(t) be the first derivative of -4/7*t + 2/2