 - 320. Let s*o**2 - 15*o**3 - 22*o - 3*o + 0*o = 0. Calculate o.
0, 1/3, 5
Factor -22*r**4 - 25*r**2 + 28*r**3 + 2*r**3 + 17*r**4.
-5*r**2*(r - 5)*(r - 1)
Factor 2/3*o**2 - 2/15*o**3 - 4/5*o + 0.
-2*o*(o - 3)*(o - 2)/15
Suppose 0 = 2*o + 4, 6*o + 5 = -g + 3*o. Let f be (-155)/62*1*g/(-5). Solve 1/2 + 0*q - f*q**2 = 0.
-1, 1
Let f(l) be the third derivative of -l**7/10080 - l**6/960 - 13*l**4/24 + 6*l**2. Let o(w) be the second derivative of f(w). Factor o(b).
-b*(b + 3)/4
Suppose -51 - 69 = 12*w. Let v(q) = 1. Let u(o) = 3*o**2 + 2*o + 2. Let k(d) = w*v(d) + 5*u(d). Factor k(m).
5*m*(3*m + 2)
Let q be (-8)/(-6) + 4/6. Let i(z) = 538*z + 1614. Let t be i(-3). Factor -2/7*f**3 + 2/7*f + t + 0*f**q.
-2*f*(f - 1)*(f + 1)/7
Determine n, given that -1/9*n - 2/9 + 1/9*n**2 = 0.
-1, 2
Suppose 4/11*m**5 + 24/11*m**3 + 108/11*m**2 - 162/11 - 108/11*m - 26/11*m**4 = 0. What is m?
-3/2, -1, 3
Let d(a) be the second derivative of -a**4/54 + 5*a**3/27 + 2*a**2/3 - 11*a - 1. Factor d(j).
-2*(j - 6)*(j + 1)/9
Let m(x) be the second derivative of -x**7/4620 - x**6/990 + x**5/165 + 2*x**4/33 - 4*x**3 - 22*x. Let k(a) be the second derivative of m(a). Factor k(u).
-2*(u - 2)*(u + 2)**2/11
Let h = -478 + 483. Let q(x) be the second derivative of 6*x + 0*x**3 + 0*x**2 - 1/160*x**h + 0 + 0*x**4 + 1/120*x**6 - 1/336*x**7. Factor q(m).
-m**3*(m - 1)**2/8
What is p in 5*p**2 + 2*p**4 - 6*p - 14*p**3 - 5*p**4 + 6*p + 0*p**4 = 0?
-5, 0, 1/3
Let v(d) = -4*d - 19 + 2*d + 5 + 4*d. Let r be v(8). Factor 3*z + 3*z**3 - 24*z**r + 48*z**5 + 17*z**4 + 52*z**4 + 6*z**2 + 3*z**4.
3*z*(z + 1)**2*(4*z - 1)**2
Suppose 15 = -2*m + 7*m. Suppose -g - 3 = f, -6*f - 12 = -m*g - 2*f. Determine u, given that 4/11*u**3 - 2/11*u**2 + 0*u + g = 0.
0, 1/2
Factor -40/3*a**2 + 250/3 + 25/3*a + 5/3*a**3.
5*(a - 5)**2*(a + 2)/3
Let i(y) be the first derivative of 14*y**5/45 - y**4/18 - 107. Factor i(a).
2*a**3*(7*a - 1)/9
Let s(j) be the third derivative of 0*j + 47*j**2 - 3/40*j**6 + 0 + 1/70*j**7 - j**3 + 3/8*j**4 + 1/20*j**5. Factor s(z).
3*(z - 2)*(z - 1)**2*(z + 1)
Suppose 3*g + 2*g - 15 = 0. Factor 3*s**3 - 4*s**3 - 4*s**3 + 8*s + s**g - 4*s**2.
-4*s*(s - 1)*(s + 2)
Let f = 7/711 - -34079/4977. Determine m, given that -f*m**3 + 432/7 - 576/7*m + 3/7*m**4 + 264/7*m**2 = 0.
2, 6
Let w be (2/(-3))/((-3)/108). Suppose w = 2*h + 2*h. Solve 3*o**2 + 19 - 9*o - 7 - h*o**2 = 0 for o.
-4, 1
Let c = 3854/1443 + -2/481. Let q(u) be the first derivative of 13/15*u**5 - 10/3*u**2 - 1/9*u**6 + 2 - c*u**4 + 4/3*u + 37/9*u**3. Solve q(b) = 0.
1/2, 1, 2
Let q(l) be the first derivative of -7/15*l**3 - 4*l - 1 + 7/50*l**5 + 1/15*l**4 - 2/5*l**2. Let n(m) be the first derivative of q(m). Factor n(k).
2*(k - 1)*(k + 1)*(7*k + 2)/5
Let a = 2/1163 - -12783/5815. Suppose 0 - a*u**2 - 2/5*u - u**5 - 21/5*u**3 - 17/5*u**4 = 0. Calculate u.
-1, -2/5, 0
Let v be 1/(-22)*1246/(-294). Let k = -2/77 + v. Factor 0 + 0*h**2 + 0*h + k*h**3.
h**3/6
Let m(a) be the second derivative of 5*a**7/84 - a**6/18 + a**5/60 - 11*a**3/6 - 5*a. Let j(f) be the second derivative of m(f). Factor j(g).
2*g*(5*g - 1)**2
Let a(o) be the second derivative of -o**3/6 - o**2/2 + 3*o. Let y be a(-6). Factor 3*n**2 + 2*n**3 - 4*n - y*n**2 + 0*n**4 + 2*n + 2*n**4.
2*n*(n - 1)*(n + 1)**2
Let i(r) be the second derivative of -13*r**5/15 - 50*r**4/9 - 62*r**3/9 + 4*r**2 + 9*r + 3. Solve i(c) = 0 for c.
-3, -1, 2/13
Let a(o) be the second derivative of o**7/5460 + 7*o**6/2340 + o**5/52 + 3*o**4/52 + 13*o**3/6 + 9*o. Let r(j) be the second derivative of a(j). Factor r(w).
2*(w + 1)*(w + 3)**2/13
Suppose 0 = -433*t + 431*t. Let -2/7*c**4 - 2/7*c**3 + 2/7*c**2 + 2/7*c + t = 0. Calculate c.
-1, 0, 1
Let o(b) be the first derivative of 4*b**5/5 + 4*b**4 + 8*b**3/3 - 8*b**2 - 12*b + 10. Find z such that o(z) = 0.
-3, -1, 1
Let z(d) be the third derivative of -d**8/6720 - d**7/630 - d**6/180 - 3*d**4/8 - 4*d**2. Let u(i) be the second derivative of z(i). Factor u(s).
-s*(s + 2)**2
Suppose 0*n**3 - 90*n + 7*n**2 - n**2 - 3*n**3 + 180*n - 93*n = 0. What is n?
0, 1
Suppose 3*p + 5 = 42*p - 73. What is o in -1/3*o**4 + 0*o + 0 + 1/3*o**3 + 1/3*o**p - 1/3*o**5 = 0?
-1, 0, 1
Let f(o) = -24*o + 77. Let d be f(3). Let u(v) be the third derivative of -1/14*v**4 + 4/21*v**3 + 0 + 1/105*v**d + 0*v + 2*v**2. Factor u(n).
4*(n - 2)*(n - 1)/7
Suppose 8 = 4*z - 10*a + 6*a, 3 = 3*a. Suppose 0 = z*v - 9*v - 0*v. Factor 1/2*g**3 + 1/4*g**2 - 1/4*g + v.
g*(g + 1)*(2*g - 1)/4
Find z, given that 4*z + 24/5 + 8/5*z**3 - 52/5*z**2 = 0.
-1/2, 1, 6
Let p(d) = -2*d**3 - 73*d**2 - 36*d + 3. Let x be p(-36). Let l(h) be the first derivative of 80*h + 5/3*h**x + 13 - 20*h**2. Let l(u) = 0. What is u?
4
Let m(u) be the third derivative of -u**5/300 - u**4/30 - u**3/10 - 9*u**2 + u. Let m(q) = 0. Calculate q.
-3, -1
Let r(g) = 4*g**2 - g - 1. Let c(l) = 11*l**2 - 56*l - 55. Let n(v) = c(v) - 3*r(v). Determine p, given that n(p) = 0.
-52, -1
Let q(t) = 6*t**3 - 5*t**2 + 5. Let x = -22 + 26. Let p(l) = 4*l**2 + 5*l - x*l - 6*l**2 + l**3 + 1 + l**2. Let i(m) = -3*p(m) + q(m). Factor i(d).
(d - 1)*(d + 1)*(3*d - 2)
Let g(q) = -7*q**3 + q**2 + q - 1. Let d be g(-1). Suppose 5*c - 7*c - 4*x + 22 = 0, -4*c + 41 = 5*x. Factor c*h**4 + 4 + d*h - 9*h**2 - 6*h**3 + 0 - 4.
3*h*(h - 1)*(h + 1)*(3*h - 2)
Let g(u) be the second derivative of -4*u + 0*u**3 + 1/42*u**7 - 1/12*u**4 + 0*u**2 + 3/20*u**5 + 0 - 1/10*u**6. Factor g(n).
n**2*(n - 1)**3
Let m(c) be the third derivative of 0 - 8*c**2 + 0*c + 1/12*c**4 + 1/120*c**5 + 1/3*c**3. Suppose m(i) = 0. Calculate i.
-2
Let m be -9 + -5 + 3 + 13. Let -8/7*i**5 + 0*i - 4/7*i**m + 18/7*i**3 - 6/7*i**4 + 0 = 0. What is i?
-2, 0, 1/4, 1
Let p(y) be the first derivative of 2/5*y - 3 - y**3 + 13/10*y**2. Determine l, given that p(l) = 0.
-2/15, 1
Let h(n) be the third derivative of -n**6/40 + 3*n**5/20 + n**4/2 + 122*n**2. Factor h(t).
-3*t*(t - 4)*(t + 1)
Let t(n) be the first derivative of -3*n**4/14 + 20*n**3/21 - 3*n**2/7 + 89. Find m, given that t(m) = 0.
0, 1/3, 3
Let k(q) be the second derivative of q**4/12 + 3*q**3/2 + 4*q**2 - 10*q - 8. Find g, given that k(g) = 0.
-8, -1
Suppose 1 = 2*p + 3*h + 7, -4*p - 3*h = 6. Suppose 0 = 5*x - 15 - p. Suppose -2*n + 0*n + n**2 - 8*n**4 - 9*n**2 - 2*n**5 - 12*n**x = 0. Calculate n.
-1, 0
Suppose -5*g + 7 = 3*u, 5*g - 3 = -2*u - 0*g. Let t(l) be the second derivative of -l**2 + 1/6*l**3 + 1/12*l**u + 0 - 9*l. Let t(h) = 0. Calculate h.
-2, 1
Let w(i) be the third derivative of 0 - 1/6*i**5 + 5/24*i**4 + 1/24*i**6 + 0*i**3 + i**2 + 0*i. Factor w(k).
5*k*(k - 1)**2
Let q(j) = 18*j**4 + 85*j**3 - 508*j**2 + 491*j + 1088. Let a(u) = 10*u**4 + 42*u**3 - 254*u**2 + 246*u + 544. Let c(y) = -11*a(y) + 6*q(y). Factor c(g).
-2*(g - 17)*(g - 4)**2*(g + 1)
Suppose -2*m + 9 = 5*b - 1, 0 = -b + 2*m + 14. Determine r so that 26*r - 3*r**3 - 5*r**3 - 20*r**b - 18*r + 20*r**2 = 0.
-1, -2/5, 0, 1
Let n = -1511 + 1515. Factor -4*y**n - 32/3*y**2 - 4/3 + 6*y + 28/3*y**3 + 2/3*y**5.
2*(y - 2)*(y - 1)**4/3
Let r(w) be the second derivative of -5*w**7/42 - 3*w**6/2 - 13*w**5/2 - 15*w**4/2 + 45*w**3/2 + 135*w**2/2 + w + 14. Determine i so that r(i) = 0.
-3, -1, 1
Let b = -2888 + 2891. Factor 0*t**2 + 4/7*t**b + 2/7 - 4/7*t - 2/7*t**4.
-2*(t - 1)**3*(t + 1)/7
Let i be (0/(-15))/(-2 + 4). Solve i + 14/3*z - 2/3*z**2 = 0 for z.
0, 7
Let l(w) be the second derivative of w**5/40 - w**4/12 + w**3/12 - 90*w. Factor l(j).
j*(j - 1)**2/2
Let t = -27657 - -193936/7. Let u = t - 48. Factor -2/7*y + 1/7*y**2 + u.
(y - 1)**2/7
Let j(o) be the third derivative of o**9/45360 + o**8/20160 - o**7/1512 + o**6/720 + 5*o**4/6 + 16*o**2. Let i(p) be the second derivative of j(p). Factor i(d).
d*(d - 1)**2*(d + 3)/3
Let f(s) = -s**3 - 2*s**2 + s. Let r(l) = 3*l**4 - 14*l**3 + 2*l**2 + 14*l - 9. Let h(z) = 2*f(z) - r(z). What is t in h(t) = 0?
-1, 1, 3
Let p(w) be the second derivative of 25*w + 1/20*w**5 + 0 + 5/6*w**4 + 25/6*w**3 + 0*w**2. Factor p(a).
a*(a + 5)**2
Solve -5*r - 7/4*r**3 - 1 - 23/4*r**2 = 0 for r.
-2, -1, -2/7
Determine g so that -2 - 35*g + g**2 + 100*g - 34*g - 30*g = 0.
-2, 1
Let n(p) be the second derivative of p**5/10 + 7*p**4/6 - p**3/3 - 7*p**2 + 73*p. Solve n(i) = 0 for i.
-7, -1, 1
Let t(s) be the second derivative of -s**6/60 + s*