0?
-2, 0
Let l(o) be the first derivative of -2*o**5/15 + 10*o**4/3 - 8*o**3 - 736. Factor l(p).
-2*p**2*(p - 18)*(p - 2)/3
Let t(d) be the first derivative of d**3 - 9/2*d**2 + 5 + 6*d. Suppose t(l) = 0. What is l?
1, 2
Let d = 9844 - 9844. Let 4/3*x**3 - 2/3*x**4 + d + 0*x**2 + 0*x = 0. What is x?
0, 2
Let o be (-9 - -11)*(-11)/(-88). Find y such that 5/8*y**2 + 0 - o*y - 1/4*y**4 - 1/8*y**3 = 0.
-2, 0, 1/2, 1
Let d(y) be the second derivative of y**4/12 + 8*y**3/3 + 14*y**2 - y + 33. Let d(x) = 0. Calculate x.
-14, -2
Let y(o) = -3*o**2 - 17*o + 10. Let x(g) be the third derivative of g**4/24 - g**3/3 - 12*g**2. Let w(m) = -5*x(m) - y(m). Determine v, given that w(v) = 0.
-4, 0
Let h(i) = -i - 12. Let y be h(-5). Let u(p) = p**3 + 11*p**2 + 4*p. Let s be u(y). Determine j, given that -j - s + j**2 + 168 = 0.
0, 1
Let j(o) be the third derivative of -o**7/5040 + o**5/240 - o**4/72 + o**3/2 - 22*o**2. Let l(y) be the first derivative of j(y). What is v in l(v) = 0?
-2, 1
Let p be 20/25 - 18/(-15). Let 4/3*h + 4/3*h**p + 0 = 0. Calculate h.
-1, 0
Let b(t) be the first derivative of t**6/80 - 9*t**5/40 + 15*t**4/16 - 7*t**3/4 + 14*t**2 + 12. Let f(q) be the second derivative of b(q). Factor f(n).
3*(n - 7)*(n - 1)**2/2
Suppose 9*x - 60 + 24 = 0. Let c be 49/28 - 1/x. Factor c*l + 3*l**3 + 3/4*l**4 + 0 + 15/4*l**2.
3*l*(l + 1)**2*(l + 2)/4
Let k(r) be the second derivative of 4*r + 0*r**2 - 1/6*r**4 + 0 + 2/9*r**3 + 1/30*r**5. Factor k(j).
2*j*(j - 2)*(j - 1)/3
Let h(y) be the first derivative of 7/10*y**6 - 2/5*y**3 + 6/25*y**5 - 21/20*y**4 - 20 + 0*y + 0*y**2. Suppose h(d) = 0. Calculate d.
-1, -2/7, 0, 1
Let x(b) be the first derivative of 2*b - 1/12*b**4 + 0*b**2 - 1/6*b**3 + 4. Let u(i) be the first derivative of x(i). Suppose u(g) = 0. What is g?
-1, 0
Determine z, given that 0 - 1/5*z**2 + 12/5*z = 0.
0, 12
Let p(t) = 4*t - 65. Let i be p(-25). Let x = 167 + i. Factor 0 + 2/5*q**3 - 4/5*q - 2/5*q**x.
2*q*(q - 2)*(q + 1)/5
Solve 2 + 193/2*a**2 + 29*a - 285/4*a**3 - 225/4*a**4 = 0 for a.
-2, -2/15, 1
Find l such that -2/17*l**2 - 10/17 + 12/17*l = 0.
1, 5
Let x(y) = -2*y**3 - 52*y**2 - 47*y + 78. Let l be x(-25). Determine s, given that 0*s + 0 - 2/17*s**4 + 0*s**l + 2/17*s**2 = 0.
-1, 0, 1
Let a(k) = k**3 + 64*k**2 - 67*k - 127. Let x be a(-65). Factor -13/5*j**x - 2/5*j - 3*j**2 + 0.
-j*(j + 1)*(13*j + 2)/5
Suppose 3*i + 13 = 2*w, 3*w = 7*w - 5*i - 25. Suppose 8 = -u + w*u. Determine n, given that 3*n**2 - 6*n**4 + 5*n**3 - 11*n**u + 19*n**3 - 10*n**5 = 0.
-2, 0, 2/5, 1
Let v(p) = -16*p**3 - 72*p**2 + 33*p + 1. Let j(r) = -48*r**3 - 216*r**2 + 100*r + 2. Let c(q) = 6*j(q) - 17*v(q). Let c(l) = 0. Calculate l.
-5, 1/4
Let f = -11 - -10. Let v be 3 + -14*f/(-10) - 1. Determine a, given that -v*a**4 + 0*a**3 + 3/5*a**2 + 0 + 0*a = 0.
-1, 0, 1
Let u be (4 + 268/(-20))/3. Let g = -9/5 - u. Determine r, given that -14/3*r**2 + g + 10/3*r = 0.
-2/7, 1
Suppose 3*d - 36 = 5*h, 9*d + 12 = 10*d + h. Let u(x) be the first derivative of -4*x**2 + d + 2/3*x**3 + 8*x. Suppose u(b) = 0. What is b?
2
Let w = 32/17 - 126/85. Let d(t) be the second derivative of -w*t**2 + 0*t**3 + 4*t + 0 + 1/20*t**4 + 1/100*t**5. Factor d(c).
(c - 1)*(c + 2)**2/5
Let l = -23794 + 1165979/49. Let o = 1/98 + l. Find d, given that 0*d**2 - 3/2 + o*d**4 - 3*d**3 + 3*d = 0.
-1, 1
Let t(r) be the second derivative of 0 + 40/21*r**7 + 34*r**5 + 15/2*r**2 + 155/4*r**4 + 14*r**6 - 29*r + 70/3*r**3. Solve t(i) = 0.
-3, -1, -1/2, -1/4
Solve 2/15*m**3 - 10/3*m**2 - 10/3*m + 0 + 2/15*m**4 = 0 for m.
-5, -1, 0, 5
Let n(c) be the third derivative of -1/48*c**4 + 5*c**2 - 1/24*c**3 + 0*c + 0 - 1/240*c**5. Find o, given that n(o) = 0.
-1
Let m(j) be the third derivative of 0*j - 13*j**2 + 1/15*j**4 - 8/525*j**7 - 2/15*j**3 - 2/75*j**6 + 0 + 1/25*j**5. Determine r, given that m(r) = 0.
-1, 1/2
Suppose -5*w - 114 = 1. Let o = w + 25. Find f, given that -2/5*f + 2/5*f**3 + 4/5*f**o - 4/5 = 0.
-2, -1, 1
Solve -8/5*v**4 + 8/5*v**2 - 2/5*v**5 + 0 - 4/5*v**3 + 6/5*v = 0 for v.
-3, -1, 0, 1
Let b = 1808 + -1806. Let -4/7 + 18/7*p + 2*p**4 - 18/7*p**3 - 10/7*p**b = 0. Calculate p.
-1, 2/7, 1
Let t = -11 - 120. Let a = 135 + t. Suppose 0 - 6/5*y**5 + 4*y**a - 2/5*y - 24/5*y**3 + 12/5*y**2 = 0. What is y?
0, 1/3, 1
Factor 51*z + 100*z**3 + 37*z**4 + 3*z**4 - 146*z - 50 + 10*z**2 + 134*z**5 - 268*z**5 + 129*z**5.
-5*(z - 10)*(z - 1)*(z + 1)**3
Let w(t) be the second derivative of t**5/30 - t**3/3 + 2*t**2/3 - 286*t + 2. Factor w(u).
2*(u - 1)**2*(u + 2)/3
Let g(a) = 11*a**3 + 16*a**2 - 37*a - 30. Let s(f) = 12*f**3 + 17*f**2 - 39*f - 30. Let w(m) = 7*g(m) - 6*s(m). Factor w(j).
5*(j - 2)*(j + 1)*(j + 3)
Let l(j) be the first derivative of 1/24*j**6 + 0*j**5 + 0*j**2 + 0*j - 1/6*j**3 - 3/16*j**4 - 20. Find o, given that l(o) = 0.
-1, 0, 2
Let o(r) be the second derivative of 1/4*r**3 + 0 - 1/6*r**4 - 1/40*r**5 + 9/2*r**2 + r. What is b in o(b) = 0?
-3, 2
Let k(t) = 2*t**2 - t + 1. Let s(j) = -14*j**2 - 15*j + 7. Let c(u) = -2*k(u) + s(u). Factor c(h).
-(h + 1)*(18*h - 5)
Let y(i) be the first derivative of 5*i**6/42 + 24*i**5/35 + 23*i**4/14 + 44*i**3/21 + 3*i**2/2 + 4*i/7 + 108. Suppose y(w) = 0. Calculate w.
-1, -4/5
Factor -3*c**2 - 7084 - 502*c + 82*c - 7616.
-3*(c + 70)**2
Let l(f) = f**4 - f**2 - f + 1. Let b(n) = -11*n**4 - 55*n**3 + 66*n**2 + 6*n - 6. Let w(d) = -b(d) - 6*l(d). Factor w(z).
5*z**2*(z - 1)*(z + 12)
Let u(l) be the first derivative of -4*l**3/3 + 144*l**2 + 292*l + 364. Factor u(i).
-4*(i - 73)*(i + 1)
Let r = -251/5 + 51. Let v(p) = p**3 - 4*p**2 - 29*p + 32. Let j be v(1). Factor 22/5*t**2 + j - r*t.
2*t*(11*t - 2)/5
Let q be 15/(-60) + (-60)/16 + 4. Factor q*c**3 + 0*c + 2/7*c**2 + 0 - 2/7*c**4.
-2*c**2*(c - 1)*(c + 1)/7
Let b(y) be the second derivative of y**6/120 - 9*y**5/40 + 5*y**4/3 + 3*y**3/4 - 81*y**2/8 - 22*y. Factor b(w).
(w - 9)**2*(w - 1)*(w + 1)/4
Suppose 4*u + 20*u = 3*u. Solve 11/6*f**3 + 0*f + u - 7/3*f**4 - 1/3*f**2 = 0 for f.
0, 2/7, 1/2
Suppose 1/3*t**4 + 8/3 - 2*t**2 - 4/3*t + 1/3*t**3 = 0. What is t?
-2, 1, 2
Let c(z) be the first derivative of -3*z**4 - 14 + 0*z + z**2 + 10/3*z**3. Let c(p) = 0. What is p?
-1/6, 0, 1
Let i(d) = d**3 + 14*d**2 - 7*d - 28. Let n be i(-14). Let s(a) = a**2 - 4*a + 3. Let u be s(4). Factor 61 + 18*w**2 - 7 - n*w**u + 72*w**3 + 54*w.
2*(w + 3)**3
Let b(q) = -2*q**3 - 24*q**2 - 44*q - 20. Let h(k) = 2*k**3 + 23*k**2 + 43*k + 19. Let w(i) = 3*b(i) + 2*h(i). Factor w(m).
-2*(m + 1)**2*(m + 11)
Let k = 126 - 118. Let y(b) be the third derivative of -1/84*b**k + 0*b + 1/30*b**6 + 0*b**4 + 0*b**5 + 0*b**3 + 0 + 0*b**7 + 5*b**2. Solve y(p) = 0.
-1, 0, 1
Let d(u) be the second derivative of u**6/270 - 13*u**5/180 + 5*u**4/18 + 2*u**3/27 - 20*u**2/9 - 79*u. Suppose d(b) = 0. Calculate b.
-1, 2, 10
Let o(k) be the third derivative of k**5/12 + 3*k**4/8 - k**3 - 7*k**2. Let r(a) = -a**2 - a + 1. Let n(y) = o(y) + 6*r(y). Determine c so that n(c) = 0.
0, 3
Let w(a) be the third derivative of 0*a**3 - 1/15*a**6 + 0 - 11*a**2 - 1/6*a**5 + 0*a - 1/12*a**4. Factor w(h).
-2*h*(h + 1)*(4*h + 1)
Let f(p) be the second derivative of 0 - 3/5*p**5 + 0*p**2 + 2/15*p**6 + p**4 - 20*p - 2/3*p**3. Factor f(i).
4*i*(i - 1)**3
Let l(y) = -2*y**3 + y**2 - y + 1. Let h(q) = -10*q**3 - 44*q**2 - 58*q + 6. Let p(b) = h(b) - 6*l(b). Factor p(m).
2*m*(m - 26)*(m + 1)
Let a(k) be the third derivative of -47*k**5/12 - 115*k**4/6 + 10*k**3/3 - 19*k**2 + 3*k. Factor a(o).
-5*(o + 2)*(47*o - 2)
Let d(z) be the second derivative of z**6/120 + z**5/20 + z**4/8 + z**3/6 + z**2 + 12*z. Let q(p) be the first derivative of d(p). Let q(n) = 0. Calculate n.
-1
Suppose -5*m + 24 = 2*h, -m = 2*m + 3*h - 18. Suppose 5*n = -2*a + 13, -m*n + 3*a + 2*a = -17. Factor 3/4*q**4 + 0 + 9/4*q**n + 3/4*q + 9/4*q**2.
3*q*(q + 1)**3/4
Let k(d) be the third derivative of d**6/360 - d**5/30 + d**4/6 - d**3 + 2*d**2. Let u(i) be the first derivative of k(i). Find p such that u(p) = 0.
2
Let m(v) be the first derivative of -3/20*v**5 - 1/8*v**6 - 14 + 9/16*v**4 + 0*v - 3/4*v**2 + 1/4*v**3. Find q, given that m(q) = 0.
-2, -1, 0, 1
Let f be ((-9)/(-6))/((-2)/(-4)). Factor 7*a**4 + 2*a**5 + 10*a**2 - 8*a + 0*a**3 - 20*a**2 + f*a**4 + 6*a**3.
2*a*(a - 1)*(a + 1)**2*(a + 4)
Find u such that