8*l**8 - 1/90*l**6 - 1/9*l**3 + 0*l + 12*l**2 + 2/105*l**7 + 0 - 1/18*l**5. Let x(i) = 0. Calculate i.
-1, 2/5, 1
Let q(o) be the third derivative of -o**6/360 - o**5/180 + o**4/36 - 52*o**2 + 2. Find j, given that q(j) = 0.
-2, 0, 1
Let x(f) = -2*f**2 + 29*f - 12. Let n be x(14). Let o = -1823/21 + 87. Let 0*c**3 + o*c**4 - 2/21*c + 2/21*c**5 - 4/21*c**n + 0 = 0. Calculate c.
-1, 0, 1
Suppose 0 = -14*t + 35 - 7. Let c(n) be the first derivative of 2/45*n**5 - 1/3*n**t - 7 - 4/9*n + 1/6*n**4 + 2/27*n**3. Suppose c(w) = 0. Calculate w.
-2, -1, 1
Suppose -1 - 11 = 3*h, 0 = 3*l + 3*h. Let d(t) be the first derivative of 1/2*t**l - 7 - t**2 - 1/5*t**5 + 0*t**3 + t. What is a in d(a) = 0?
-1, 1
Factor -43*m**2 + 1 + 45*m**2 + 8*m - 11.
2*(m - 1)*(m + 5)
Suppose -14 = -6*s + 10. Suppose a = s*a - 15. Find d, given that 0 - 2/7*d**3 + 2/7*d**2 + 2/7*d**a - 2/7*d**4 + 0*d = 0.
-1, 0, 1
Let -6 + 248*z**3 - 80*z + 54 - 20*z**2 + 12*z**4 - 208*z**3 = 0. Calculate z.
-3, -2, 2/3, 1
Let i(y) be the third derivative of -y**7/490 - 23*y**6/840 - 13*y**5/105 - y**4/6 + 8*y**3/21 + 16*y**2 + 7. Let i(z) = 0. What is z?
-4, -2, 1/3
Solve 1296/7 + 72*g + 60/7*g**2 + 2/7*g**3 = 0 for g.
-18, -6
Let n(w) be the second derivative of -2*w**2 + 1/3*w**3 + 15*w + 1/2*w**4 + 0. Factor n(v).
2*(v + 1)*(3*v - 2)
Suppose -8*l = -2*l + 54. Let n be (2 + (l - -2))/(-4). Let 5*b + 5/4*b**5 + n*b**4 - 25/4*b**3 + 5 - 25/4*b**2 = 0. Calculate b.
-2, -1, 1, 2
Let c(z) be the second derivative of -z**6/45 + 31*z**5/5 - 8833*z**4/18 + 5704*z**3/3 - 8464*z**2/3 + 361*z. Factor c(j).
-2*(j - 92)**2*(j - 1)**2/3
Suppose -6*g + 15 = 3. Suppose v = 5*i + 3*v - g, 0 = 2*i - 5*v + 5. Factor i*r + 1/5*r**2 - 1/5.
(r - 1)*(r + 1)/5
Let g = -2094 + 4189/2. Determine i, given that -i + g*i**2 + 1/2 = 0.
1
Suppose 7 = 4*y + v, -5*y + 8*y - 8 = 2*v. Let i(s) be the first derivative of 12*s**4 - 6*s + 33/2*s**y + 4 - 12/5*s**5 - 21*s**3. What is l in i(l) = 0?
1/2, 1, 2
Let z(h) be the third derivative of 0*h**3 + 7/240*h**5 + 0*h + 1/168*h**7 - 3/160*h**6 - 1/1344*h**8 - 1/48*h**4 + 0 - 7*h**2. Suppose z(d) = 0. What is d?
0, 1, 2
Let a = 16 + -16. Suppose -2*f - 8 = a, -2*f - 2 = -5*x + 76. Determine s, given that x*s - 17*s + 4*s**2 + s**2 - 2*s**2 = 0.
0, 1
Factor 2/11*c**5 - 32/11 - 2*c**4 + 86/11*c**3 + 112/11*c - 146/11*c**2.
2*(c - 4)**2*(c - 1)**3/11
Let q = -58 - -60. Solve 70*h**5 + 8*h + 228*h**3 - 6*h**5 - 208*h**4 - 16*h**4 - 76*h**q = 0 for h.
0, 1/4, 1, 2
Let c(x) be the second derivative of x**4/3 - 4*x**3/3 - 6*x**2 + 57*x - 1. Let c(q) = 0. What is q?
-1, 3
Determine g, given that -57*g**4 + 16*g**3 + 44*g**4 + 9*g**4 + 3*g**2 + 25*g**2 - 40*g = 0.
-2, 0, 1, 5
Let g be (-2)/(-3)*3/1. Factor 0*i**2 + 6*i - 10*i - 4*i**g.
-4*i*(i + 1)
Let u = -688 - -691. Factor 0*z + z**2 + 0 + 7/2*z**u.
z**2*(7*z + 2)/2
Let k(r) be the third derivative of 11*r**6/40 - 4*r**5/15 - 5*r**4/8 - r**3/3 - 3*r**2 - 2*r. Factor k(a).
(a - 1)*(3*a + 1)*(11*a + 2)
Let g be (-192)/(-952) + 4/(-28). Let o(h) be the second derivative of 4*h + 0 - 2/51*h**4 + 5/51*h**3 - g*h**2. Factor o(l).
-2*(l - 1)*(4*l - 1)/17
Factor -3/4*p**4 - 27/4*p**3 - 33/4*p + 63/4*p**2 + 0.
-3*p*(p - 1)**2*(p + 11)/4
Find t, given that 1/2*t**5 + 0 - 3*t**3 - 3/2*t**4 + 0*t + 4*t**2 = 0.
-2, 0, 1, 4
Let q = -3920/11 + 356. Let o = q - -23/33. Factor -v - 1/3 - o*v**3 - v**2.
-(v + 1)**3/3
Let h = 1542/19 + -7596/95. Determine a so that 0 - 4/5*a**4 + 0*a + h*a**5 - 6/5*a**3 + 4/5*a**2 = 0.
-1, 0, 2/3, 1
Let l(k) be the third derivative of -1/315*k**7 - 1/504*k**8 + 0*k**5 + 0*k + 0*k**4 - 17*k**2 + 0 + 0*k**3 + 0*k**6. Factor l(z).
-2*z**4*(z + 1)/3
Let g(p) be the first derivative of 2/39*p**3 + 0*p + 0*p**2 + 0*p**4 + 18 - 2/65*p**5. Determine c so that g(c) = 0.
-1, 0, 1
Let j = 14048 + -14046. Determine y, given that -2 + j*y**3 - 2*y + 1/2*y**4 + 3/2*y**2 = 0.
-2, -1, 1
Let a(p) = 14*p + 5. Let g be a(4). Suppose 0*u - 60 = -4*u - 2*r, -5*u + g = -r. Suppose u + 2*n**2 + 18*n + 12 + n**2 + 2 = 0. Calculate n.
-3
Let o = -179413/79 - -2271. Let p = 731/395 + o. Factor 3/5*r - 12/5*r**3 + 0 - p*r**2.
-3*r*(r + 1)*(4*r - 1)/5
Let o be 4/(-2 + (-32)/(-12)). Let 11*a**3 - 10*a**2 - a + 0*a - 6*a**3 + o*a = 0. Calculate a.
0, 1
Let v(n) be the first derivative of n**4/36 + 2*n**3/9 + n**2/2 - 59*n - 29. Let d(h) be the first derivative of v(h). Find i such that d(i) = 0.
-3, -1
Suppose -2*c - 10 = 2*z, 0 = -4*c + 2*c - 5*z - 25. Suppose 2*j - 3*j = 5*w - 8, c = w + j. Let -3*x**3 + 6*x**2 - w*x**2 - x**2 = 0. Calculate x.
0, 1
Let r(k) = 2*k**4 + 14*k**3 - 15*k**2 + 15*k - 6. Let a(m) = 3*m**4 + 26*m**3 - 32*m**2 + 31*m - 10. Let x(q) = -6*a(q) + 10*r(q). Factor x(u).
2*u*(u - 3)**2*(u - 2)
Factor -29 - 28452*n - 3*n**2 + 89 + 28395*n.
-3*(n - 1)*(n + 20)
Let o be 16/2*39/26*175/1225. Factor 2/7*g**2 + 16/7 + o*g.
2*(g + 2)*(g + 4)/7
Suppose -4*t - t = -15. Suppose 26*g - 41*g + 12 + t*g**2 + 23*g + 7*g = 0. What is g?
-4, -1
Let j(q) be the second derivative of 2*q**6/75 - 2*q**5/25 - 7*q**4/15 + 8*q**3/3 - 24*q**2/5 + 77*q. Determine k, given that j(k) = 0.
-3, 1, 2
Let i(u) be the second derivative of -u**6/120 - u**5/80 + u**4/16 + 5*u**3/24 + u**2/4 + 80*u. Factor i(j).
-(j - 2)*(j + 1)**3/4
Let z(w) = w**3 - 21*w**2 + 100*w + 52. Let l be z(13). Factor 4/5*c**3 - 8/5*c**4 + 4/5*c**5 + 0*c + l*c**2 + 0.
4*c**3*(c - 1)**2/5
Let r(o) be the first derivative of 2/7*o - 3 - 2/3*o**3 - 6/7*o**2. Factor r(a).
-2*(a + 1)*(7*a - 1)/7
Let n(f) be the first derivative of -7/46*f**4 + 17 + 16/23*f**2 + 16/69*f**3 + 0*f + 2/115*f**5. Factor n(z).
2*z*(z - 4)**2*(z + 1)/23
Let v(y) be the first derivative of -5*y**6/6 + 4*y**5 + 15*y**4/2 - 20*y**3/3 - 25*y**2/2 + 393. What is z in v(z) = 0?
-1, 0, 1, 5
Let f(t) be the second derivative of t**6/4 + 39*t**5/10 + 65*t**4/8 + 9*t**3/2 - 458*t. Find p such that f(p) = 0.
-9, -1, -2/5, 0
Let v(q) = -q + 2. Let w be v(-1). Determine b so that -24*b**2 + 1 + 26*b**2 - 3 + b**w - b = 0.
-2, -1, 1
Let k(o) be the second derivative of -o**4/36 - o**3/9 + 35*o**2/6 + o + 254. Factor k(t).
-(t - 5)*(t + 7)/3
Let k(p) = 60*p**3 - 3020*p**2 + 5615*p - 2725. Let m(g) = 5*g**3 - 252*g**2 + 468*g - 227. Let j(l) = -3*k(l) + 35*m(l). Solve j(h) = 0.
1, 46
Let d(v) be the first derivative of -2*v**5/5 - 15*v**4/2 - 88*v**3/3 - 430. Factor d(b).
-2*b**2*(b + 4)*(b + 11)
Let b(o) = o**3 + 9*o**2 + o + 12. Let y be b(-9). Let n be (0*(4 - y))/(-1). What is d in -2/11*d**2 + n*d + 0 = 0?
0
Suppose h = -4*h. Suppose h = 5*k - 8 - 17. Determine a so that -k*a**2 + 2*a**2 + 35*a - 47*a - 12 = 0.
-2
Let g(a) be the third derivative of a**7/4200 - a**6/600 + a**4/30 - 13*a**3/6 - 3*a**2. Let b(v) be the first derivative of g(v). Determine u so that b(u) = 0.
-1, 2
Let d(w) = w**3 + 2*w**2 + 7*w - 6. Let f(x) = x**3 + 2*x**2 + 8*x - 7. Let p be (-448)/(-80) + (-4)/(-10). Let m(r) = p*f(r) - 7*d(r). Let m(y) = 0. What is y?
-1, 0
Let n(p) be the second derivative of p**5/30 + 29*p**4/18 + 69*p. Factor n(d).
2*d**2*(d + 29)/3
Suppose 4*d + 12 = -5*x, -4*x + 9 + 6 = -5*d. Find p such that 45*p + 2*p**2 + 6 - 79*p + 42*p + x*p**2 = 0.
-3, -1
Let p(j) be the third derivative of 2/39*j**5 - 25*j**2 + 1/10*j**6 + 0*j**3 - 25/273*j**7 + 0*j - 25/312*j**8 - 2/39*j**4 + 0. What is l in p(l) = 0?
-1, -2/5, 0, 2/7, 2/5
Let q(w) be the second derivative of w**7/630 - w**6/180 + w**5/180 + 12*w**2 + 11*w. Let u(m) be the first derivative of q(m). Solve u(r) = 0 for r.
0, 1
Let o(x) be the second derivative of 0 - 1/12*x**4 + 14*x - 1/40*x**5 + 0*x**2 - 1/12*x**3. Factor o(m).
-m*(m + 1)**2/2
Let k(n) = 9*n**3 + 6*n**2 - n. Suppose -11*t + 8*t - 18 = 0. Let o(f) = 4*f**3 + 3*f**2 - f. Let l(j) = t*k(j) + 14*o(j). Find c, given that l(c) = 0.
-4, 0, 1
Find v such that 3/8*v**3 - 9/8 - 15/8*v**2 + 21/8*v = 0.
1, 3
Suppose 25*r**3 - 1256*r**2 + 371*r**4 - 604*r - 49*r**5 - 7*r**4 + 27*r**3 - 80 - 371*r**3 = 0. Calculate r.
-1, -2/7, 4, 5
Suppose 10*a + 180 = 28*a. Let q(p) be the second derivative of 0 + 10/39*p**3 + 3/13*p**2 + 1/26*p**4 + a*p. Factor q(n).
2*(n + 3)*(3*n + 1)/13
Let a(r) = -2*r**2 + 31*r + 17. Let p be a(16). Let n(c) = 2*c**2 - c + 1. Let g be n(p). Suppose 2/7*t**g - 6/7 + 4/7*t = 0. Calculate t.
-3, 1
Let