4*v**2 + 0*v - 7/12*v**5 + 5/24*v**4 + 0 + 5/84*v**8 - 13/42*v**7. What is w in s(w) = 0?
0, 1/4, 1
Let y(z) be the second derivative of z**6/15 - 6*z**4 - 32*z**3/3 + 192*z**2 + 679*z. Factor y(r).
2*(r - 6)*(r - 2)*(r + 4)**2
Determine u so that -15*u**3 + 60*u - 4 + 3*u**2 + 5*u**4 + 7 - 43 - 13*u**2 = 0.
-2, 1, 2
Determine d so that -23 - 4*d**3 + 107 + 428 - 384*d + 72*d**2 = 0.
2, 8
Let f(y) be the third derivative of y**7/504 - y**6/72 - 17*y**4/24 - 4*y**2. Let o(v) be the second derivative of f(v). What is s in o(s) = 0?
0, 2
Let q(z) be the second derivative of -9*z + 0 + 13/2*z**2 - 1/150*z**5 - 1/15*z**3 + 1/30*z**4. Let l(y) be the first derivative of q(y). Solve l(r) = 0.
1
Let l(z) be the first derivative of -z**6/12 + 27*z**5/5 - 243*z**4/2 + 972*z**3 - 74. Factor l(i).
-i**2*(i - 18)**3/2
Let c = 41918/7 + -5887. Let o = c - 101. Determine u so that 4/7*u**2 + o - u + 4/7*u**3 = 0.
-2, 1/2
Let l = 62 - 58. Suppose -2*z**4 + z**3 + 9*z**l - 5*z**4 - 3*z**3 = 0. What is z?
0, 1
Let b be 14/(-28) + (-2 - (-215)/70). Find x such that -2/7*x**5 + 0*x**2 + 0*x - 2/7*x**3 + 0 + b*x**4 = 0.
0, 1
Let q(f) = 12*f + 1 - 1 - 13*f + 1. Let w be q(-1). Determine u so that u**3 - u - u**4 + 3*u**w - 5*u**2 + 3*u**2 = 0.
-1, 0, 1
Suppose 62*x - 28 = 55*x. Let y(l) be the first derivative of 2 - 3*l + 3*l**x - 6*l**3 - 3/5*l**5 + 6*l**2. Factor y(p).
-3*(p - 1)**4
Let c = -20122/3 + 6596. Let o = c + 112. Factor -2/3*s**2 - o*s**3 + 2/3 + 2/3*s.
-2*(s - 1)*(s + 1)**2/3
Let -1/2*g**3 + 2*g**2 - 5/2*g + 1 = 0. Calculate g.
1, 2
Let w(g) be the second derivative of g**4/3 - 4*g**3 + 18*g**2 + 2*g - 30. What is x in w(x) = 0?
3
Let t(p) be the third derivative of -14*p**2 + 4/15*p**5 - 14/15*p**6 + 14/15*p**7 + 0*p + 0*p**3 + 0*p**4 + 0. Determine u so that t(u) = 0.
0, 2/7
Suppose -14/5*h + 2/15 + 8/3*h**2 = 0. Calculate h.
1/20, 1
Suppose -3463 - 6*u**2 + 56*u - 22*u**2 + 3431 + 4*u**3 = 0. Calculate u.
1, 2, 4
Let w be ((-6)/16)/(1/(-2) + -44 + 43). Factor -1/4*f**2 + 0 - w*f.
-f*(f + 1)/4
Let n(a) be the second derivative of 3*a**8/140 - 5*a**7/42 + 2*a**6/15 + 2*a**5/15 + 5*a**3/6 + 27*a. Let w(j) be the second derivative of n(j). Factor w(o).
4*o*(o - 2)*(o - 1)*(9*o + 2)
Suppose -5*s = -25, 4*u + 0*u + 819 = -5*s. Let a = u + 213. Solve 0*k + 0 + 4/5*k**3 + 0*k**a - 2/5*k**4 = 0 for k.
0, 2
Factor 0*a**4 - 2/7*a + 0 + 0*a**2 + 4/7*a**3 - 2/7*a**5.
-2*a*(a - 1)**2*(a + 1)**2/7
Let v = -271 + 274. Let o(r) be the first derivative of 1/12*r**v + 1/2*r - 7 + 3/8*r**2. Factor o(j).
(j + 1)*(j + 2)/4
Let c(t) be the third derivative of 1/300*t**5 + 0*t + 0*t**4 + 0*t**6 - 1/1050*t**7 + 0*t**3 + 0 + 5*t**2. Factor c(f).
-f**2*(f - 1)*(f + 1)/5
Let c be ((-39)/(-6) - 3) + (-16)/(-96)*-18. Factor 0*s**2 - 1/4*s + 0*s**4 + c*s**3 - 1/4*s**5 + 0.
-s*(s - 1)**2*(s + 1)**2/4
Suppose -5*c + 18 = -2*o - 7, 2*o - 5 = -5*c. Let r be ((-12)/(-21))/(c - 1). Factor 0 - 4/7*q - r*q**2.
-2*q*(q + 2)/7
Let w = -2/647357 - 1683775535/7120927. Let r = w + 237. Factor r*g + 2/11*g**2 + 0.
2*g*(g + 3)/11
Let u(s) be the third derivative of s**6/900 - 4*s**5/225 + s**4/36 + 14*s**3/45 - 10*s**2 + 19. Factor u(k).
2*(k - 7)*(k - 2)*(k + 1)/15
Suppose 0 = -5*s - 50 - 30. Let g = 19 + s. Determine w so that -6*w - 7*w**2 - 3*w**4 + 16*w**2 + 2*w**g - 11*w**3 + 3*w**5 + 6*w**2 = 0.
-2, 0, 1
Let g be -16 + 273/63 + 17. Factor -g*p + 4/3*p**2 + 16/3.
4*(p - 2)**2/3
Suppose -6*q - q = -133. Factor q + 34 - 65 - 88 - w**2 - 20*w.
-(w + 10)**2
Suppose -2*o = -4*n + 20, 3*n - 22 = 4*o - 2. Let s(g) be the second derivative of 0 - 1/48*g**4 + 0*g**2 - 1/12*g**3 - n*g + 3/80*g**5. Factor s(q).
q*(q - 1)*(3*q + 2)/4
Let w be (15/6 - 3)*-1*14. Factor -4 - 5 + n**3 + w + 0 + 5*n - 4*n**2.
(n - 2)*(n - 1)**2
Let l be (-87)/(-18) - ((-28)/24)/7. Determine v, given that -28*v**2 - 8*v - v**4 + 22*v + l*v**4 + 10*v = 0.
-3, 0, 1, 2
Suppose 19*k = 16*k + 15. Let j(n) be the first derivative of -1/2*n**4 + 0*n + 0*n**2 + 2/5*n**k - 2/3*n**3 - 2 + 1/3*n**6. Factor j(t).
2*t**2*(t - 1)*(t + 1)**2
Let t(h) be the second derivative of -14045*h**4/12 + 530*h**3/3 - 10*h**2 - 228*h. Suppose t(q) = 0. Calculate q.
2/53
Factor -19*p - 32*p**2 - 4*p**4 - 2*p**4 - 20*p**3 + 2*p**4 + 3*p.
-4*p*(p + 1)*(p + 2)**2
Let q(c) be the first derivative of -c**4/30 + 2*c**3/45 + 16*c**2/15 + 8*c/3 + 152. Factor q(v).
-2*(v - 5)*(v + 2)**2/15
Let l(k) = 11*k - 21. Let y be l(6). Suppose -12*i + 10*i**4 - 60*i**2 + 0*i**3 - 11*i + 3*i - y*i**3 + 15*i**5 = 0. Calculate i.
-1, -2/3, 0, 2
Suppose -8*m + 11*m = -591. Let a = m + 199. Factor -4/3*j**a + 10/3*j - 4/3.
-2*(j - 2)*(2*j - 1)/3
Determine s so that 8*s**5 + 8*s**3 + 28*s**4 + 0*s**3 - 16*s**5 + 43*s**5 - 15*s**5 = 0.
-1, -2/5, 0
Suppose 0 = x - 1 - 3. Let -x*b + 7*b**2 + 11*b**2 - 6*b**2 - 8*b - 3*b**3 = 0. Calculate b.
0, 2
Suppose -20*v + 89 + 31 = 0. Let t(s) be the third derivative of 0 + 0*s**3 + 0*s**5 + 0*s + 8*s**2 + 1/40*s**v + 0*s**4. Suppose t(m) = 0. Calculate m.
0
Let h(y) = 3*y**2 + 16*y - 95. Let o be h(-9). Determine r, given that 0*r**2 + 0 + 2/11*r**o - 2/11*r**5 + 0*r + 0*r**3 = 0.
0, 1
Let q = -27 + 11. Let k = q - -18. Solve -3 - 6*d**2 - d**2 - 6*d + 4*d**k = 0.
-1
Let d(w) = -6*w**3 + 10*w**2 - 6*w. Let k(r) = -r. Let p be (-9)/5 + 12/15. Let y(i) = p*d(i) + 10*k(i). Suppose y(m) = 0. Calculate m.
-1/3, 0, 2
Let z(y) be the third derivative of y**5/210 + 5*y**4/28 + y**2 - 4. Factor z(r).
2*r*(r + 15)/7
Suppose -83 + 2*y + y + 2*y**2 + 85 + y = 0. What is y?
-1
Let p(r) be the third derivative of -2/45*r**5 + 0 + 0*r**3 + 1/9*r**4 + 0*r + 1/180*r**6 - 15*r**2. What is c in p(c) = 0?
0, 2
Let y = -20988 - -62969/3. Let 5*q**3 + 0 - y*q**2 - 10/3*q = 0. What is q?
-2/3, 0, 1
Factor 0 - 39/7*o**3 - 3/7*o**4 - 144/7*o**2 - 108/7*o.
-3*o*(o + 1)*(o + 6)**2/7
Suppose -81*m + 76*m = 0. Let p(u) be the first derivative of -9/4*u**4 + 9/5*u**5 + 0*u + u**3 + m*u**2 - 9 - 1/2*u**6. Determine o so that p(o) = 0.
0, 1
Let m(s) be the first derivative of -2/3*s + 5 - 5/3*s**2 - 8/9*s**3. Factor m(r).
-2*(r + 1)*(4*r + 1)/3
Let x(o) be the first derivative of -2*o**2 - 1/480*o**6 + 0*o**3 + 0*o - 5 + 1/120*o**5 + 0*o**4. Let q(c) be the second derivative of x(c). Factor q(i).
-i**2*(i - 2)/4
Let a = -509 - -512. Let m(g) be the second derivative of -3/40*g**5 - 3/2*g**2 + 1/4*g**a + 1/4*g**4 - 5*g + 0. Find o such that m(o) = 0.
-1, 1, 2
Suppose -9*v = -13*v + 8. Suppose -r + 5*p = v*p - 14, 3*r = 4*p + 22. Factor 3 - 9/2*q**r - 15/2*q.
-3*(q + 2)*(3*q - 1)/2
Factor -1/9*t**3 + 0 + 5/3*t - 2/9*t**2.
-t*(t - 3)*(t + 5)/9
Let a be (3 - 6) + 32 - 4. Determine m, given that 9*m**3 + a*m**4 - m**3 + 16*m**2 - 29*m**4 - 32*m = 0.
-2, 0, 2
Let f(b) be the third derivative of -b**5/75 + 7*b**4/15 - 2*b**2 + 6. Let f(d) = 0. What is d?
0, 14
Let y(o) be the first derivative of 40*o**3/3 - 85*o**2/2 + 10*o - 38. Let y(l) = 0. Calculate l.
1/8, 2
Let p(v) be the third derivative of v**5/150 - v**4/20 - 20*v**2 + 5. Factor p(i).
2*i*(i - 3)/5
Suppose 3*g = 4*d - 314, -10*d + 13*d - 246 = -3*g. Determine j, given that 2*j**2 - 64*j + 4*j**4 + 16 - 16*j**5 - 21*j**2 + d*j**3 - j**2 = 0.
-2, -1, 1/4, 1, 2
Let u be (60 - 64) + (-12)/(-1) + 3*-2. Let 1 + 3/2*z**u - 1/2*z**4 + 5/2*z - 1/2*z**3 = 0. What is z?
-1, 2
Let k(h) = 3*h**4 + h**3 - h - 1. Let t(o) = -19*o**4 - 34*o**3 + 61*o**2 - 14*o - 4. Let g(b) = -5*k(b) - t(b). Factor g(x).
(x - 1)**2*(x + 9)*(4*x + 1)
Let z(f) be the first derivative of 2/3*f**3 - 3*f**2 + 0*f + 31. Factor z(p).
2*p*(p - 3)
Let z(m) be the first derivative of -m**5/60 + m**4/36 + m**3/3 - 8*m - 9. Let s(l) be the first derivative of z(l). What is h in s(h) = 0?
-2, 0, 3
Let s(y) = 2*y**2 - 22*y + 62. Let w be s(6). Find o, given that 14/9 - 2/9*o**w + 4/3*o = 0.
-1, 7
Let w(t) = -2*t**2 - 43*t + 5. Let j(h) = 3*h**2 + 84*h - 9. Let r(b) = -5*j(b) - 9*w(b). Let r(q) = 0. What is q?
0, 11
Let o(q) = q**2 + 2*q + 1. Let c(j) = j**4 - 5*j**3 - 27*j**2 - 26*j + 5. Let v(f) = -c(f) + 5*o(f). Factor v(z).
-z*(z - 9)*(z + 2)**2
Let r(b) = -b**2 - 11*b + 13. Let x be r(-13). Let i = x - -17. Factor 2*h**2 - 3*h**4 - 2*h + 10*h**4 - 1 - 8*h**i + h**5 + 3*h - 2*h**3.
(h - 1)**3*(h + 1)**2
Let k(m) = -m + 1. Let h be k(1). Let s = -9/35 