
Let d = 4988 + -4985. Determine u, given that 18*u**2 + 28/5*u**d - 84/5*u + 16/5 = 0.
-4, 2/7, 1/2
Let n be ((-26)/(-60) + 6/36)*375/45. What is b in 8*b**4 + 4/5*b**n + 256/5 + 20*b**3 - 16*b**2 - 64*b = 0?
-4, 1
Suppose -3*m = -12*r + 8*r + 33, 4*r - 36 = 4*m. Let -3*l**3 - 5*l + 1/2*l**4 + 3/2 + r*l**2 = 0. What is l?
1, 3
Factor 2/3*d + 26/3 - 26/3*d**2 - 2/3*d**3.
-2*(d - 1)*(d + 1)*(d + 13)/3
Let i(s) be the second derivative of -s**4/54 - 16*s**3/27 - 28*s**2/9 + 106*s. Factor i(w).
-2*(w + 2)*(w + 14)/9
Let z(c) be the third derivative of -6*c**2 + 0 - 3/110*c**6 + 2/33*c**5 + 1/165*c**7 - 2/33*c**4 + 0*c + 0*c**3 - 1/1848*c**8. Let z(p) = 0. What is p?
0, 1, 2
Let m(c) be the third derivative of c**9/3780 - c**7/315 + c**5/30 - 11*c**4/24 - 19*c**2. Let w(f) be the second derivative of m(f). Solve w(z) = 0.
-1, 1
Let -4*n**4 - 196 + 2/5*n**5 + 568/5*n**2 - 28/5*n**3 - 406/5*n = 0. Calculate n.
-5, -1, 2, 7
Let u be (-6)/15 - 792/(-30). Let r = 29 - u. Suppose 21*f**5 - f + 4*f**2 - 15*f**r - 5*f + 66*f**4 + 23*f**2 - 93*f**4 = 0. What is f?
-1, 0, 2/7, 1
Let o = -997595/191 + 5223. Let l = 392/955 + o. Determine w, given that -l*w**3 + 0 - 4/5*w**2 + 2/5*w**4 + 0*w = 0.
-1, 0, 2
Let r(t) = -t - 11. Let c be r(8). Let z = c - -26. Let 9*i**2 - i**2 - z*i**4 + 23*i**4 - 6*i**5 + 2*i**5 - 20*i**3 = 0. Calculate i.
0, 1, 2
Suppose -5*d = -6*d + 2. Find p such that -27*p + 0*p - 10 - 4*p**3 + 16*p**2 + 11*p**3 + 14*p**d = 0.
-5, -2/7, 1
Let a(m) = m**3 + 2*m**2 - 11*m - 9. Let j be a(-4). Let y = 33 - 17. Factor y*w**2 + 0 + 15*w - 11*w + 12*w**j + 0.
4*w*(w + 1)*(3*w + 1)
Determine a, given that -3/7*a**4 - 15/7*a**3 + 24/7 - 18/7*a**2 + 12/7*a = 0.
-2, 1
Let u(f) be the second derivative of 1/357*f**7 - 16/17*f**2 - 32/51*f**3 + 0 + 1/51*f**6 + 19*f + 2/85*f**5 - 8/51*f**4. What is z in u(z) = 0?
-2, -1, 2
Suppose 3*t + f - 14 = 0, -4*t + 14 = f - 2*f. Let d(u) be the first derivative of -2*u**2 + 2*u**3 + 3*u**3 + 1 - t*u**4 + 8*u**4 - u**3. Factor d(p).
4*p*(p + 1)*(4*p - 1)
Let -24*o**4 + 9*o**5 - 51 - 40 + 139 - 48 + 12*o**3 = 0. What is o?
0, 2/3, 2
Suppose 51/4*q - 3/2 - 45/2*q**2 = 0. What is q?
1/6, 2/5
Factor 45*x + 3*x**3 + x**3 - 5*x**2 - 9*x**3 + 5 + 40.
-5*(x - 3)*(x + 1)*(x + 3)
Let t = 57 + -51. Suppose 2*g = -t*g + 24. Suppose 3/2*v**g + 0 + 3*v - 9/2*v**2 = 0. Calculate v.
0, 1, 2
Let n(j) = 5*j**2 + 30*j + 10. Let d = -90 - -89. Let f(x) = 1. Let c(q) = d*n(q) - 15*f(q). Factor c(s).
-5*(s + 1)*(s + 5)
Let c = -1 - -3. Suppose -19 = -23*b + 27. Factor -2*j**c - b*j + 9*j**4 - 11*j**4 + 4*j**4 + 2*j**3.
2*j*(j - 1)*(j + 1)**2
Suppose -97*i**2 + 193*i**2 - 9 + 32*i + i**3 - 107*i**2 - 19 = 0. Calculate i.
2, 7
What is c in 31/3*c**3 + 310*c - 1021/6*c**2 - 150 - 1/6*c**4 = 0?
1, 30
Let g(m) be the second derivative of -3*m + 1/6*m**4 + 10/3*m**2 + 17/9*m**3 + 0. Solve g(w) = 0.
-5, -2/3
Suppose 4*h + 20 = 40. Let o be h/2 + (6 - 66/12). Solve 2/9*i**2 + 0*i + 4/9*i**o + 2/9*i**4 + 0 = 0 for i.
-1, 0
Let y(k) be the first derivative of 1/2*k**3 - 1 - k + k**2 + 1/12*k**4. Let m(z) be the first derivative of y(z). Factor m(u).
(u + 1)*(u + 2)
Let q = 40 + -33. What is g in 3*g - 5*g - q*g**2 + 9*g**2 = 0?
0, 1
Let c(r) be the third derivative of 0 + 0*r**3 + 0*r - 2/75*r**5 + 6*r**2 - 1/30*r**4. Factor c(f).
-4*f*(2*f + 1)/5
Let u(y) be the first derivative of -4 - 1/9*y**4 + 2/9*y**2 - 2/27*y**3 + 2/9*y. Factor u(a).
-2*(a - 1)*(a + 1)*(2*a + 1)/9
Factor 75*a**2 - a**2 + 11*a**3 + 3*a**3 + 522*a - 446*a + 16.
2*(a + 1)*(a + 4)*(7*a + 2)
Let a(o) be the third derivative of o**6/480 - o**5/240 - o**4/8 + 33*o**2. Let a(z) = 0. What is z?
-3, 0, 4
Determine h, given that 1/4*h**5 - 1/2*h + 5/4*h**2 - 1/4*h**4 + 0 - 3/4*h**3 = 0.
-2, 0, 1
Let s = -15786 - -15790. Factor 2/3*x**2 + 32/3*x**s + 4*x + 2/3 - 16*x**3.
2*(x - 1)**2*(4*x + 1)**2/3
Suppose -3*k - 5*m = 2*k - 20, -3*m = k + 4. Let q be k/(-6)*(-9)/30. Determine i, given that 0 + 4/5*i - 2/5*i**5 + 2*i**2 - q*i**4 + 6/5*i**3 = 0.
-1, 0, 2
Let x = 503 - 503. Let q(b) be the third derivative of 1/100*b**5 - 1/40*b**4 - 1/5*b**3 + x - 6*b**2 + 0*b. What is v in q(v) = 0?
-1, 2
Let n = 45 - 33. Let l = n - 10. Factor -2/5*t - 2/5*t**l + 4/5.
-2*(t - 1)*(t + 2)/5
Let w(k) be the first derivative of -k**3/6 + 25*k**2/4 - 23*k + 72. Find b such that w(b) = 0.
2, 23
Let t be (-7)/14 - (-2 + 172/120). Let b(d) be the second derivative of -1/6*d**4 + 0*d**3 + t*d**6 + 4*d + 0*d**5 + 0 + 0*d**2. Factor b(f).
2*f**2*(f - 1)*(f + 1)
Factor 0*v**3 + 10*v**2 + 3*v**3 + 8*v**3 + v**3 - 7*v**3 - 15*v.
5*v*(v - 1)*(v + 3)
Let s(f) be the first derivative of 0*f - f**3 - 4 + 3/4*f**4 - 3*f**2. Factor s(c).
3*c*(c - 2)*(c + 1)
Let q(d) be the first derivative of d**4/10 + 4*d**3/5 - 16*d**2/5 - 93. Factor q(a).
2*a*(a - 2)*(a + 8)/5
Let a(k) be the second derivative of k**7/105 - 13*k**6/75 + 67*k**5/50 - 57*k**4/10 + 72*k**3/5 - 108*k**2/5 - 14*k. Determine v, given that a(v) = 0.
2, 3
Let x be 12 + (-3 - (-352)/(-40)). Let x*j**2 + 2/5*j + 0 = 0. What is j?
-2, 0
Factor -4*t**3 - 19*t**2 + 6*t**2 + 10*t + 9*t**2 + 14*t.
-4*t*(t - 2)*(t + 3)
Let v(a) be the first derivative of 5*a**6/24 + 3*a**5/20 - 17*a**4/16 - 19*a**3/12 + a + 52. What is x in v(x) = 0?
-1, 2/5, 2
Let o(y) be the second derivative of 2*y**6/15 + 9*y**5/5 - 22*y**4/3 - 309*y. Factor o(g).
4*g**2*(g - 2)*(g + 11)
Suppose 0 = -26*t + 20*t + 12. Determine g so that -8*g**4 - 12*g**3 + 58*g**t + 4*g**4 - 66*g**2 = 0.
-2, -1, 0
Let u be 3/(1 - 24/18). Let x be 1 - -1*3/u. Factor -512/3*b - 512/3 - 64*b**2 - x*b**4 - 32/3*b**3.
-2*(b + 4)**4/3
Let z be (1 + 0 - (2 + -2)) + 3. Let b(j) = -j**3 + 4*j**2 - 7*j + 4. Let m(p) = -3*p**2 + 6*p - 3. Let s(a) = z*m(a) + 3*b(a). Factor s(d).
-3*d*(d - 1)*(d + 1)
Let d = 61/1060 - 2/265. Let c(r) be the second derivative of -d*r**5 - 1/30*r**6 + 1/12*r**4 + 0 - r + 0*r**2 + 1/6*r**3. Factor c(l).
-l*(l - 1)*(l + 1)**2
Let o(y) be the second derivative of y**4/3 - 24*y**3 + 648*y**2 + 103*y. Find b such that o(b) = 0.
18
Let c(u) = 8*u**2 + 10*u - 4. Let q(s) = s. Let v(h) = c(h) - 2*q(h). Let o(n) = 7*n**2 + 7*n - 3. Let m(g) = -4*o(g) + 3*v(g). Let m(d) = 0. Calculate d.
-1, 0
Let k(g) be the third derivative of -g**7/175 - 49*g**6/150 + 101*g**5/450 + 11*g**4/30 + 25*g**2 + 2*g. Suppose k(s) = 0. Calculate s.
-33, -1/3, 0, 2/3
Let z(w) be the third derivative of 5/16*w**4 - 11/24*w**5 - 23*w**2 + 0*w + 0*w**3 - 1/12*w**6 + 0. Let z(u) = 0. What is u?
-3, 0, 1/4
Let a = -57/4 + 29/2. Let b(r) be the second derivative of 9*r - 9/16*r**4 + a*r**3 + 0*r**2 + 3/20*r**5 + 0. Factor b(v).
3*v*(v - 2)*(4*v - 1)/4
Let r be 45/(1 + 4)*(-11)/(-3). Factor -r*t**2 + t**3 + 71*t**2 - 39*t**2.
t**2*(t - 1)
Let t(d) be the third derivative of 8/5*d**6 + 3/14*d**7 + 0*d - 12*d**2 + 0*d**4 + 0 - 8*d**3 + 18/5*d**5. Let t(i) = 0. What is i?
-2, -2/3, 2/5
Suppose -5*t - 2*n - 2*n = -37, t - 3*n - 15 = 0. Let d(v) be the first derivative of t*v**2 + 35/4*v**3 + 3*v - 8. Factor d(f).
3*(5*f + 2)*(7*f + 2)/4
Let z(b) be the third derivative of -3*b**6/20 - 5*b**5/4 + 13*b**4/4 + 5*b**3/2 + 2*b**2 + 35*b. Factor z(y).
-3*(y - 1)*(y + 5)*(6*y + 1)
Let i(q) be the third derivative of 0*q - 1/100*q**6 - 1/60*q**4 - 1/525*q**7 + 3*q**2 - 1/50*q**5 + 0*q**3 - 2. Factor i(c).
-2*c*(c + 1)**3/5
Determine c so that 2/15*c**2 - 4/15 - 2/15*c = 0.
-1, 2
Let m(p) = 152*p**4 + 10*p**3 - 100*p**2 - 62*p - 26. Let n(i) = -10*i**2 + i**3 - 7*i - i**2 + 22*i**4 - 3 - 5*i**4. Let l(v) = 6*m(v) - 52*n(v). Factor l(x).
4*x*(x - 1)*(x + 1)*(7*x + 2)
Let y = 12 - 7. Solve 24*g**3 + 10*g**4 - 3*g**5 + 2*g**4 + 12*g**2 + 6*g**y + 3*g**4 = 0 for g.
-2, -1, 0
Let u(v) be the second derivative of v**5/20 - v**4/4 + v**3/2 + 2*v. Let c be u(2). Factor 0*f**3 - 2*f**2 + 5*f - c*f**3 - 3*f + 0*f**3 + 2.
-2*(f - 1)*(f + 1)**2
Let q(m) be the second derivative of m**7/70 - m**5/10 + m**3/2 + 23*m**2/2 + 20*m. Let u(t) be the first derivative of q(t). Factor u(s).
3*(s - 1)**2*(s + 1)**2
Suppose -6*u = -4*n - 10*u + 28, -5*u = 2*n - 26. Factor -1/3*h**n + 0*h**2 + 1/3*h + 0.
-h*(h - 1)*(h + 1)/3
Let m(d) = -17*d**2 + 13*d**2 + 23*d - 7*d. Suppose -3*k = -0*k + 48. Let t(h) = h**2 - 5*h. Let n(j) = k*t(j) - 5*m(j). Let n(o) = 0. Calc