40 + 1/248. Let -2/5 + 6/5*n**4 - c*n**3 - 4/5*n**2 - v*n**5 + 6/5*n = 0. Calculate n.
-1, 1
Suppose 0 = 5*u - 95*u. Find r, given that u + 1/5*r + 1/5*r**2 = 0.
-1, 0
Let q(c) be the second derivative of -c**5/60 + c**4/36 + 9*c**2/2 + 4*c. Let p(g) be the first derivative of q(g). Factor p(u).
-u*(3*u - 2)/3
Let u be (-1)/(2 - (-105)/(-51)). Factor 10 + 15*a - 45*a**2 - 33*a - u*a.
-5*(a + 1)*(9*a - 2)
Let x(g) be the second derivative of g**4/18 - 14*g**3/9 + 3*g + 11. Factor x(h).
2*h*(h - 14)/3
Let b(l) be the third derivative of l**8/8960 - l**7/1120 - l**4/3 - 12*l**2. Let f(d) be the second derivative of b(d). Factor f(c).
3*c**2*(c - 3)/4
Let p(q) be the first derivative of -q**6/960 - q**5/64 - 3*q**4/32 + 4*q**3 + 11. Let d(n) be the third derivative of p(n). Factor d(w).
-3*(w + 2)*(w + 3)/8
Let s(t) be the third derivative of 4*t**2 - 1/10*t**5 + 1/3*t**3 - 1/6*t**4 + 1/15*t**6 + 4/105*t**7 + 0*t + 0. Factor s(i).
2*(i + 1)**2*(2*i - 1)**2
Determine u, given that 0*u**4 + u**4 - 31*u - 12*u**2 - 107 + 17*u + 102 - 2*u**3 = 0.
-1, 5
Determine z, given that -1/2 - z**2 - 1/4*z**3 - 5/4*z = 0.
-2, -1
Let l(t) = 2*t**2 + 84*t - 95. Let b(s) = -2*s**2 - 80*s + 94. Let u(n) = -3*b(n) - 4*l(n). Determine g so that u(g) = 0.
-49, 1
Suppose -9*n - 78 = -123. Suppose 0 + 0*o - 8/3*o**4 + 2/3*o**n + 0*o**2 + 8/3*o**3 = 0. Calculate o.
0, 2
Let p(z) = -z**5 + 16*z**4 - 13*z**3 + 5*z**2 - 5. Let h(n) = -n**5 + n**3 - n**2 + 1. Let c(k) = -10*h(k) - 2*p(k). Factor c(u).
4*u**3*(u - 2)*(3*u - 2)
Factor -29/2*v - 5/4*v**3 + 4 + 47/4*v**2.
-(v - 8)*(v - 1)*(5*v - 2)/4
Let p(r) be the second derivative of 2*r**7/21 - 3*r**5/5 - 2*r**4/3 - 29*r + 1. Let p(q) = 0. What is q?
-1, 0, 2
Factor -27/2*y**3 + 98*y + 0 + 84*y**2 + 1/2*y**4.
y*(y - 14)**2*(y + 1)/2
Factor 46*z - 4*z + 2*z**2 + 14*z - 12*z.
2*z*(z + 22)
Let i(w) be the third derivative of -w**5/100 + 19*w**4/40 - 17*w**3/5 + 299*w**2. Factor i(v).
-3*(v - 17)*(v - 2)/5
Let i = 1 - 1. Suppose -2*q - 8*p = -6*p - 12, -q + 5*p = 18. Factor 1/3*g**5 + 1/3*g**q - 1/3*g**4 - 1/3*g**3 + 0*g + i.
g**2*(g - 1)**2*(g + 1)/3
Let h be (-184)/1932 + -1 + (-384)/(-63). Factor 1/3*i + 7/6*i**2 + 0 + 3/2*i**3 + 1/6*i**h + 5/6*i**4.
i*(i + 1)**3*(i + 2)/6
Let d = 44 - 42. Suppose 5*o**3 + 3*o**2 + 4*o**d + 3*o**2 - 5*o**4 = 0. What is o?
-1, 0, 2
Let n(k) be the first derivative of k**6/24 - k**4 + 19*k**3/6 - 33*k**2/8 + 5*k/2 - 995. Factor n(z).
(z - 2)*(z - 1)**3*(z + 5)/4
Factor 228*i + 10051 + 220*i**3 - 452*i**2 + 4*i**4 - 10051.
4*i*(i - 1)**2*(i + 57)
Let y(d) = d**2 - 61*d. Let v(r) = -3*r**2 + 246*r. Let o(b) = 2*v(b) + 9*y(b). Factor o(f).
3*f*(f - 19)
Let b(d) be the second derivative of -d**6/10 + 3*d**5/10 + 2*d**4 - 3*d + 8. Factor b(c).
-3*c**2*(c - 4)*(c + 2)
Let h = 11 - 8. Let c(s) = 2*s**2 - s - 10. Let m be c(-2). Factor -18*v**2 - 4*v - 4*v**3 + m*v**2 - 7*v**3 - 3*v**h.
-2*v*(v + 1)*(7*v + 2)
Let q(v) be the first derivative of -1/15*v**3 + 0*v - 11 - 1/10*v**2. What is u in q(u) = 0?
-1, 0
Let q be 15/(-25) - 26/(-10). Suppose 2*h - 1 = -p, -2*h + q*p - 2 = h. Suppose -6/7*b**2 - 6/7*b**3 + h - 2/7*b**4 - 2/7*b = 0. Calculate b.
-1, 0
Let n be (1/1 - -1) + 0. Let u = 518/723 + -12/241. Determine m, given that -8/3*m - u - 2*m**n = 0.
-1, -1/3
Let s(z) = -2. Let n(a) = -a**2 - 2*a - 14. Let x be ((-24)/18)/(2/6). Let f(j) = x*n(j) + 44*s(j). Factor f(i).
4*(i - 2)*(i + 4)
Let j(q) = 8*q**2 + 132*q - 36. Let u(h) = -h**2 + h + 3. Let r(x) = -j(x) - 12*u(x). Factor r(s).
4*s*(s - 36)
Let -2*q**3 + 56 + 8*q**2 + 712*q - 656*q + 8 = 0. Calculate q.
-2, 8
Suppose -179*w + w**3 - 111*w - 5*w**3 - 110*w - 80*w**2 = 0. What is w?
-10, 0
Let y be (0 - 1)*(-25)/(1200/32). Let o(h) be the first derivative of 11 - y*h**6 + 0*h + 0*h**2 + 0*h**3 + h**4 + 0*h**5. Solve o(k) = 0 for k.
-1, 0, 1
Let p(m) be the second derivative of 3/20*m**5 + 0 - 1/2*m**3 + 1/2*m**4 + 6*m - 3*m**2. Solve p(b) = 0.
-2, -1, 1
Let f(o) be the first derivative of -12 - 7/9*o**3 + 0*o - 2/3*o**4 - 1/3*o**2 - 1/5*o**5. Factor f(c).
-c*(c + 1)**2*(3*c + 2)/3
Let z(g) = 6*g**2 - 17. Let p(l) = -2*l**2 + 6. Let j be 16 + -5 + (-3)/(-1). Let w be 0 + -1 + j + -2. Let o(u) = w*p(u) + 4*z(u). Factor o(h).
2*(h - 1)*(h + 1)
Let j = 31/28 + -17/28. Let w(q) be the second derivative of -4*q - j*q**2 - 1/40*q**5 + 1/12*q**3 + 0 + 1/12*q**4. Factor w(h).
-(h - 2)*(h - 1)*(h + 1)/2
Solve 338/9 - 286/9*d - 2/9*d**3 - 50/9*d**2 = 0 for d.
-13, 1
Let z(p) = p**3 + 8*p**2 + 11*p - 5. Let o be z(-6). Suppose -2*c + 5 = -0*c - 5*r, r = -5*c - o. Factor c*s**3 + 0 + 0*s + 1/2*s**2 - 1/2*s**4.
-s**2*(s - 1)*(s + 1)/2
Let x(n) be the second derivative of 3*n**5/80 - 45*n**4/8 + 675*n**3/2 - 10125*n**2 - 76*n. Let x(k) = 0. Calculate k.
30
Let i = -75 + 77. Suppose i*p - 4*p**2 + 0*p**2 - 2*p**3 + 0*p**2 + 2*p**4 + 2*p**2 = 0. What is p?
-1, 0, 1
Let y(d) = 10*d**2 + 2*d + 10. Let k(l) = -108*l**2 - 24*l - 108. Let w(x) = -3*k(x) - 32*y(x). Factor w(b).
4*(b + 1)**2
Let l be -2 + 0 + (-5)/(-5). Let f(v) = 22*v**2 + 4*v + 2. Let g(h) = 3 - 2 + 0 + 0. Let m(i) = l*f(i) + 2*g(i). Suppose m(z) = 0. What is z?
-2/11, 0
Let j(t) be the first derivative of 0*t**2 - t**4 - 13 + 2/3*t**6 - 4/3*t**3 + 4/5*t**5 + 0*t. What is k in j(k) = 0?
-1, 0, 1
Let x(f) be the first derivative of 3/5*f**2 - 3/100*f**5 - 9*f - 12 + 0*f**4 + 3/10*f**3. Let p(b) be the first derivative of x(b). Find k such that p(k) = 0.
-1, 2
Let p(m) = -3*m**2 + 3*m - 9. Let j(k) = -2*k - 6. Let q be j(-4). Let y(g) = 4 - g + 2 + 2 - 4 + g**q. Let l(c) = -2*p(c) - 5*y(c). Factor l(z).
(z - 2)*(z + 1)
Let h(c) be the third derivative of 0 - 1/60*c**4 + 6*c**2 - 1/150*c**5 + 2/15*c**3 + 0*c. Factor h(p).
-2*(p - 1)*(p + 2)/5
Let c(d) be the first derivative of -d**4/4 + 5*d**3 - 13*d**2/2 - 8*d + 2. Let k be c(14). Determine i, given that 3*i - 3*i**2 + i + 0*i - i + k = 0.
-1, 2
Factor -63*x + 37*x - x**2 + 24*x.
-x*(x + 2)
Let w(d) be the first derivative of d**3 + 462*d**2 + 71148*d + 232. Factor w(x).
3*(x + 154)**2
Let s(o) be the first derivative of 5*o**7/168 + o**6/24 + 8*o**3 + 19. Let w(z) be the third derivative of s(z). Let w(f) = 0. What is f?
-3/5, 0
Suppose -5*c = -2*v + 53, 0*v + v - 4*c = 25. Let z be 6/(-3 + v/5). Suppose -3/7*h**3 + 3/7*h**2 + 9/7 + z*h = 0. What is h?
-1, 3
Let q(x) = x**3 - 10*x**2 - 9*x - 16. Let g be q(11). Let b be ((-1)/3)/((g/(-27))/1). Factor -b*y**3 - 3/2 - 9/2*y**2 - 9/2*y.
-3*(y + 1)**3/2
Suppose 5*a = 5*i + 15, -3*a - 2*i + 6*i = -10. Let l(g) be the first derivative of 0*g**4 - 4/9*g**3 - 3 + 0*g**a + 2/15*g**5 + 2/3*g. Factor l(t).
2*(t - 1)**2*(t + 1)**2/3
Solve 2/17*r**2 + 0 + 24/17*r = 0.
-12, 0
Let d(p) = -6*p**2 + 1335*p - 76607. Let s(j) = -2*j**2 + 446*j - 25536. Let z(u) = 2*d(u) - 7*s(u). What is x in z(x) = 0?
113
Let m = -17818 - -89093/5. Factor -3/5*t**3 - 12/5*t**2 + 18/5 - m*t.
-3*(t - 1)*(t + 2)*(t + 3)/5
Let b(s) be the first derivative of 0*s**2 - 35 + 0*s - 4/9*s**3 - 1/9*s**4. Solve b(a) = 0 for a.
-3, 0
Let o be (-6)/(-2) - (11 - 0). Let l be -4*2*1/o. Find y such that 0*y - 2*y + 5 - 2*y**2 + 0 - l = 0.
-2, 1
Let d be 8 + ((-146)/18 - 20/(-161 + -19)). Factor d + 3/5*g**5 + 24/5*g**4 + 48/5*g**2 + 3*g + 54/5*g**3.
3*g*(g + 1)**3*(g + 5)/5
Determine m, given that -2*m**2 - 3*m**2 - 292 + 148 + 20*m + 129 = 0.
1, 3
Let d = -10 - -15. Suppose 2*j + 4*p = -16, 0 = -2*j + 4*p + 16 + 8. Let -10*o + j*o**4 - 10*o**d - 2*o**2 + 4 + 2*o**4 - 6*o**2 + 20*o**3 = 0. Calculate o.
-1, 2/5, 1
Let d(i) be the third derivative of 0 - 2/45*i**5 + 16*i**2 + 0*i + 0*i**4 + 1/90*i**6 + 2/315*i**7 + 0*i**3. Factor d(p).
4*p**2*(p - 1)*(p + 2)/3
What is o in 8/9*o**3 + 2/9*o**4 - 8/9*o + 0 - 2/9*o**2 = 0?
-4, -1, 0, 1
Suppose 0 = -15*t + 6*t - 27. Let y(c) = c**2 - c + 1. Let j(q) = 9*q**2 - 10*q + 8. Let s(b) = t*j(b) + 24*y(b). Factor s(a).
-3*a*(a - 2)
Let d(j) be the third derivative of 7*j**6/600 - 169*j**5/150 + 172*j**4/5 - 192*j**3/5 + j**2 - 3*j. Factor d(w).
(w - 24)**2*(7*w - 2)/5
Let s(y) = 5*y**4 - 5*y**2 - 3. Let g(w) = -9*w**4 + 9*w**2 + 5. Let f(z) = -6*g(z) - 10*s(z). Factor f(p).
4*p**2*(p - 1)*(p + 1)
Let -1562/5*o**2 + 348*o - 232/5*o**3 - 8/5*o**4 - 90 = 0. Calculate o.
-15, 1/2
Determine o, given that -132*o - 66