+ 5*z = -2732, 10*z = 13*z + 12. Let w = 6112/9 + n. Let -8/9*q**4 + 2/9*q**3 + w*q + 8/3*q**2 - 4/9 = 0. What is q?
-1, 1/4, 2
Let a = 8094/455 - -2/35. Let w be (25254/156)/23 + 3/(-2). Solve 210/13*o**2 + 8/13 + 72/13*o**4 + a*o**3 + w*o = 0 for o.
-2, -1/2, -2/9
Let s(m) be the first derivative of 1/7*m**2 - 9 - 2/21*m**3 + 0*m. Factor s(j).
-2*j*(j - 1)/7
Let s(j) be the third derivative of 0 + 1/240*j**6 - 1/12*j**3 - 1/48*j**4 + 0*j + 1/120*j**5 + 14*j**2. Suppose s(o) = 0. What is o?
-1, 1
Determine u, given that -313*u**5 + 161*u**5 - 221*u**4 + 23*u**4 + 868*u**3 - 128 + 166*u**5 - 1576*u**2 + 1104*u = 0.
1/7, 2, 8
What is w in -2/15*w**3 - 8/5*w + 0 - 32/15*w**2 + 8/15*w**4 + 2/15*w**5 = 0?
-3, -2, -1, 0, 2
Factor 34 - 28/3*n - 2/3*n**2.
-2*(n - 3)*(n + 17)/3
Find o such that -1521/2*o**3 - 1599/2*o**2 - 1/2 - 79/2*o = 0.
-1, -1/39
Let s(v) be the first derivative of 40*v**3/3 - 38*v**2 - 8*v - 92. Let s(g) = 0. What is g?
-1/10, 2
Let q(d) be the first derivative of d**4/2 + d**3/4 + 5*d + 1. Let w(v) be the first derivative of q(v). What is f in w(f) = 0?
-1/4, 0
Let c be (-28)/119 - (-8)/34. Factor c + 2/13*g**2 - 4/13*g.
2*g*(g - 2)/13
Let o(a) = -a**5 + a**3 - a**2 - a. Let f(h) = -7*h**5 - 24*h**4 + 31*h**3 - 4*h**2 - 4*h. Let v(t) = -f(t) + 4*o(t). Factor v(x).
3*x**3*(x - 1)*(x + 9)
Let j(b) be the second derivative of b**7/23940 + b**6/2280 + b**5/570 + 23*b**4/12 - 21*b. Let f(c) be the third derivative of j(c). What is d in f(d) = 0?
-2, -1
Let n = 1399/566 - -8/283. Let c(t) be the first derivative of n*t**4 - 11 + 4*t + 2/5*t**5 + 7*t**2 + 6*t**3. Factor c(u).
2*(u + 1)**3*(u + 2)
Suppose -3*w**2 - 16*w + 4*w**2 - 40*w + 784 + 0*w**2 = 0. Calculate w.
28
Let 21 + 16*v**3 - 248*v**2 - 28*v**3 - 21 - 160*v = 0. What is v?
-20, -2/3, 0
Let h(i) be the first derivative of 256*i**3/3 - 96*i**2 + 36*i + 94. Factor h(z).
4*(8*z - 3)**2
Let s = -676 - -676. Let n(l) be the second derivative of s*l**3 + 0 - l + 0*l**2 - 3/10*l**5 - 1/21*l**7 + 1/5*l**6 + 1/6*l**4. What is d in n(d) = 0?
0, 1
Find g, given that 174*g**3 + 136*g**3 + 62*g**4 - 8*g**5 - 18*g**3 + 73*g**2 - 7*g**2 - 12*g**3 = 0.
-3, -1/4, 0, 11
Let x(a) be the third derivative of -5/4*a**4 + 1/6*a**7 + 0*a**3 + 0 + 13/12*a**5 + 13/12*a**6 + 29*a**2 + 0*a. Let x(w) = 0. Calculate w.
-3, -1, 0, 2/7
Let t = 173295173/768989061 + 6/269537. Let w = t - 1/317. Factor 4/9*d - w - 2/9*d**2.
-2*(d - 1)**2/9
Let l(f) = -f**2 + 15*f - 13. Let c be l(6). What is y in -25 + c - 5*y**3 - 3*y**3 + 74*y**2 - 82*y = 0?
1/4, 1, 8
Find g such that -35*g - 9*g + 27*g + 156*g**2 - 14*g - 14*g - 102 - 9*g**3 = 0.
-2/3, 1, 17
Let m be -6 - 66/(-23 + 12). Let u(g) be the second derivative of m + 2/3*g**3 + 1/20*g**5 - 1/3*g**4 - 11*g + 0*g**2. Factor u(j).
j*(j - 2)**2
Let m(k) be the second derivative of k**4/36 - 17*k**3/18 - 115*k. Let m(n) = 0. What is n?
0, 17
Suppose 0*f = 5*f - 110. Let -3 + 8*i - 4 + 8*i**4 + 24*i**3 + i**4 + f*i**2 + 8 = 0. Calculate i.
-1, -1/3
Factor 27*z**3 - 13*z**2 - 256 + 73*z**2 + 192*z - 23*z**3.
4*(z - 1)*(z + 8)**2
Let k be (-3 - (9 - 1))/1. Let l(d) = 13*d**2 - 24*d - 12. Let x(s) = 64*s**2 - 120*s - 60. Let j(v) = k*l(v) + 2*x(v). Factor j(m).
-3*(m - 2)*(5*m + 2)
Let u(b) be the first derivative of -3*b**5/5 + 3*b**4/4 + b**3 - 3*b**2/2 - 67. Solve u(l) = 0.
-1, 0, 1
Let h(a) be the second derivative of a**5/10 + 25*a**4/24 + a**3/2 + a - 67. Factor h(r).
r*(r + 6)*(4*r + 1)/2
Let z(w) be the third derivative of 1/840*w**6 + 2*w - 15*w**2 + 5/168*w**4 + 2/105*w**5 - 25/21*w**3 + 0. Factor z(l).
(l - 2)*(l + 5)**2/7
Let z(j) = j**2 - 79*j + 910. Let f be z(65). Factor f - 24/7*m**2 - 72/7*m - 2/7*m**3.
-2*m*(m + 6)**2/7
Let g(k) be the second derivative of -3*k**6/10 - 3*k**5/5 + 13*k**4/4 - 3*k**3 + 44*k. Solve g(d) = 0.
-3, 0, 2/3, 1
Let a(k) be the first derivative of k**6/3 + 4*k**5/5 - 4*k**3/3 - k**2 - 106. Factor a(p).
2*p*(p - 1)*(p + 1)**3
Let h(g) be the second derivative of -g**4/30 + 4*g**2/5 + 31*g + 1. Factor h(y).
-2*(y - 2)*(y + 2)/5
Let d(l) be the first derivative of -l**8/12600 + l**6/900 - l**5/450 - 10*l**3/3 + 18. Let k(b) be the third derivative of d(b). Factor k(v).
-2*v*(v - 1)**2*(v + 2)/15
What is k in -9/4*k**2 + 0*k + 27 + 1/4*k**3 = 0?
-3, 6
Suppose -2*n - 3*n + 5 = 0. Let a be 1/((3/n)/6). Solve 5*z + z**4 - 4 + 38*z**3 + 30*z**a + 13*z**4 - 3*z = 0.
-1, 2/7
Let v = -38 - -37. Let c(k) = 6*k**5 + 6*k**4 - 25*k**3 - 5*k**2 + 40*k - 19. Let i(l) = -l**5 - l**4 - 1. Let a(t) = v*c(t) - i(t). Let a(x) = 0. Calculate x.
-2, 1
Let x(u) be the second derivative of u**4/24 + 3*u**3 + 81*u**2 + 53*u. Factor x(l).
(l + 18)**2/2
Factor 6*b**3 - 1577*b**4 - 5*b**5 + 2*b**5 + 1574*b**4.
-3*b**3*(b - 1)*(b + 2)
Factor 3/4*f**2 + 6*f - 99/4.
3*(f - 3)*(f + 11)/4
Suppose -4*n = -35*x + 38*x - 15, -3*n + 5*x + 4 = 0. Let u be (2/3)/(10/12). Factor 0*m + 2/5*m**4 + 0 - u*m**2 + 2/5*m**n.
2*m**2*(m - 1)*(m + 2)/5
Let r(d) be the second derivative of d**6/4320 - d**5/480 - 25*d**3/6 - 27*d. Let c(v) be the second derivative of r(v). Suppose c(s) = 0. Calculate s.
0, 3
Let c = -21 + 25. Factor -9*r + c - 11 + 7 + 3*r**2.
3*r*(r - 3)
Let r be ((-88)/(-20) - 4)*(4 + 1). Let m be 580/4*r/15 + -3. Factor 0 + m*v**3 - 4/3*v + 0*v**2.
v*(7*v - 2)*(7*v + 2)/3
Suppose -183*c + 86*c - 63 = -257. Factor -6/5*o + 2/5 - 8/5*o**c.
-2*(o + 1)*(4*o - 1)/5
Suppose 18*j = 19*j. Suppose j = 3*x + 14*x. Let -38/3*z**3 - 14/3*z**5 - 5*z**2 - 2/3*z + x - 13*z**4 = 0. Calculate z.
-1, -1/2, -2/7, 0
What is h in 6*h + 2/7*h**2 + 0 = 0?
-21, 0
Suppose -6 = -3*d + 2*y, y + 3 = 3*d - d. Let k be (-7)/(-4)*(d - 4/(-14)). Factor k*o + 3/4*o**2 - 1/4.
(o + 1)*(3*o - 1)/4
Let v(n) be the first derivative of 7*n**4 + 124*n**3/3 + 66*n**2 + 36*n + 447. Suppose v(d) = 0. Calculate d.
-3, -1, -3/7
Let o(c) = 4*c**2 + 1 - 2*c**2 - 3 + 8*c - 3*c**2. Let l be o(7). Factor 4*f**2 - 4*f**2 - l*f**2 + 3*f**2.
-2*f**2
Suppose 2*g = 4*l + 70, -g + 5*l + 4 + 25 = 0. Let q = -5 - -7. Factor -34*x + 0*x**2 - 5*x**q + g*x.
-5*x*(x - 1)
Let r(c) be the third derivative of c**8/168 - 8*c**7/105 + 13*c**6/60 + 11*c**5/15 - 8*c**4/3 - 32*c**3/3 + c**2 - 11. Determine i so that r(i) = 0.
-1, 2, 4
Find h, given that -3 - 1741*h - 1733*h + 3512*h + h**2 - 36 = 0.
-39, 1
Let m = 78 - 77. Suppose 5 + m = 3*y. Factor -6/7*n**y + 3/7*n**3 + 0 + 3/7*n.
3*n*(n - 1)**2/7
Let s(q) = q**2 - 13*q - 58. Let o be s(17). Let d be (o + -6)*(-1)/(-5). Solve 0 - 8/5*j + d*j**2 = 0.
0, 2
Let s(j) = -j**2 - 2*j. Let p(y) = 2*y**2 + 20*y - 8 - 18*y - 5*y**2. Let g(t) = -3*p(t) + 6*s(t). Factor g(q).
3*(q - 4)*(q - 2)
Let b(y) be the first derivative of -y**3/6 - 13*y**2/4 - 21*y - 75. Let b(x) = 0. What is x?
-7, -6
Find q, given that 403*q**5 - 24*q**2 - 205*q**5 + 8*q**4 + 4*q**3 - 200*q**5 - 18*q = 0.
-1, 0, 3
Factor -5/4*c**2 + 25/2*c - 105/4.
-5*(c - 7)*(c - 3)/4
Let m(y) be the third derivative of 5*y**2 + 0*y - 1/210*y**5 - 2/21*y**3 + 1/28*y**4 + 0. Factor m(h).
-2*(h - 2)*(h - 1)/7
Let s be 3*5/25 - 24/(-10). Determine j so that -j**2 + 4*j**3 + 4*j**4 - j - s*j - 3*j**2 + 0*j**2 = 0.
-1, 0, 1
Let q(r) be the third derivative of -1/40*r**5 - 28*r**2 + 0*r + 0*r**3 + 3/160*r**6 + 0*r**4 - 1/280*r**7 + 0. Factor q(c).
-3*c**2*(c - 2)*(c - 1)/4
Let c be 1/((-2)/4*(4 - 5)). Let x = 3 - 3. Factor -c*p + x*p - 2*p - 2*p**2 + 2*p + 4.
-2*(p - 1)*(p + 2)
Let g be ((-2)/(-5))/((-6)/(-45)). Suppose -5*u + 4*u + g = 0. Determine b, given that 18*b - 15/2*b**4 + b**5 + 43/2*b**u - 29*b**2 - 4 = 0.
1/2, 1, 2
Let t(i) be the third derivative of -i**7/315 + i**6/40 - i**5/15 + i**4/18 + 10*i**2. Factor t(f).
-f*(f - 2)**2*(2*f - 1)/3
Let d = 30234 - 30232. Find f such that -8/15*f**d - 2/15*f**3 - 2/3*f - 4/15 = 0.
-2, -1
Let r = -346/23 + 8168/69. Let g = r - 103. What is u in 0*u**2 + 1/3*u**4 + 2/3*u - g - 2/3*u**3 = 0?
-1, 1
Let y(o) be the second derivative of -o**6/45 - o**5/15 - o**4/18 - 53*o. Factor y(t).
-2*t**2*(t + 1)**2/3
Let b = 294 + -170. Let c = b + -122. Factor 4/5*j + 4/5*j**c - 4/5*j**3 - 4/5.
-4*(j - 1)**2*(j + 1)/5
Let y(r) be the first derivative of -r**5/30 - 7*r**4/6 + 59*r**3/18 - 5*r**2/2 + 722. Find d, given that y(d) = 0.
-30, 0, 1
Factor -10 + 21*d**2 + 40*d + 14*d - 9*d**3 + 32 + 2.
