5/9*n**6 + 9. Let u(a) = 0. Calculate a.
-2/5, 0, 2/7, 1
Let s(i) = 10*i**3 + 7*i**2 + 6*i - 2. Let v(m) = m**3 + m**2 + m. Let r be (15/10)/(6/(-8)). Let z be r*22/4*-2. Let c(k) = z*v(k) - 2*s(k). Factor c(w).
2*(w + 1)**2*(w + 2)
Factor 0*v**4 - 269*v**3 + 4*v**4 + 8 + 281*v**3 + 4*v + 12*v**2 - 8.
4*v*(v + 1)**3
Let s(v) = 45*v - 18. Let q be s(-2). Let w be (72/q)/(1/(-3)). Factor -1/3*u**4 + 1/3*u**5 + 0 + 5/3*u**w - u**3 - 2/3*u.
u*(u - 1)**3*(u + 2)/3
Let y(m) = m**3 + 14*m**2 + 13*m + 3. Let i be y(-13). Suppose -7 = -i*k - 4*o - o, -o = -5*k + 21. Factor 4*r - 2*r**5 - 149*r**2 - 8*r**k - 2*r**5 + 157*r**2.
-4*r*(r - 1)*(r + 1)**3
Let z(i) be the first derivative of -i**3 - 9*i**2/2 - 142. Determine q, given that z(q) = 0.
-3, 0
Let p(t) be the second derivative of t**9/30240 - t**8/4480 + t**7/2520 - t**4/4 + 8*t. Let s(g) be the third derivative of p(g). What is v in s(v) = 0?
0, 1, 2
Let t(i) be the second derivative of 1/14*i**7 - 37*i - 1/6*i**6 + 1/6*i**4 + 11/6*i**3 - 7/10*i**5 + 0 + 3/2*i**2. Suppose t(f) = 0. Calculate f.
-1, -1/3, 1, 3
Let p(b) be the first derivative of 24*b - 20*b**2 - 26 + 26/9*b**3 + 5/3*b**4 + 2/15*b**5. Suppose p(g) = 0. What is g?
-6, 1
Let m = 47 - 47. Let x be ((-62)/155)/(-1 - m). Factor 6/5*t + 2/5*t**3 - 6/5*t**2 - x.
2*(t - 1)**3/5
Suppose -g + 2*g = 0. Let h be 2 + g/(-3 + 2). Factor -2*q**3 + 4*q - 10*q**2 + q**4 - 2*q + 9*q**h.
q*(q - 2)*(q - 1)*(q + 1)
Let d(l) be the third derivative of 5/24*l**4 + 22*l**2 + 0*l + 7/3*l**3 - 1/60*l**5 + 0. Factor d(g).
-(g - 7)*(g + 2)
Let r be 1/(-4)*(-22 - -14). Let u be (-45)/18 - (-1 - 2). Factor v - u*v**r + 0.
-v*(v - 2)/2
Let a = 50 + -34. Let y be ((-126)/a)/((-9)/6). What is m in 3/2*m + 0 - y*m**4 - 9/4*m**2 - 9*m**3 = 0?
-1, 0, 2/7
Let v**2 - 45 - 60*v - 6*v**2 - 10*v - 20 = 0. What is v?
-13, -1
Suppose 7*d + 250*d**3 - 254*d**3 - 19*d - 52*d - 32*d**2 = 0. Calculate d.
-4, 0
Let r(w) be the second derivative of w**5/5 + 26*w**4/3 + 418*w**3/3 + 968*w**2 + 70*w - 2. Factor r(x).
4*(x + 4)*(x + 11)**2
Find h, given that -57/4*h**2 + 0 - 3/4*h**3 + 15*h = 0.
-20, 0, 1
Let c = -253 - -567. Let l = c + -309. Solve 1/4*o**3 + 1/2*o**4 + 0*o + 1/4*o**l + 0*o**2 + 0 = 0.
-1, 0
Determine i so that -13*i + 11 + i**2 - 46 + 21 = 0.
-1, 14
Suppose -c = 2*o - 215, 0 = 2*o - 2*c - 315 + 85. Let t be (-42)/7 + o/15. Let 6*h**4 - t*h**3 + 0 + 3*h**5 - 8/3*h**2 + 0*h = 0. What is h?
-2, -2/3, 0, 2/3
Let w(l) be the third derivative of -l**6/10 + 47*l**5/20 - 33*l**4/2 - 18*l**3 + 3*l**2 - 10*l. Factor w(h).
-3*(h - 6)**2*(4*h + 1)
Let a = -7/5 + 19/5. Let t(h) be the first derivative of 3/20*h**4 + 4 + 0*h**2 - 3/5*h**3 + a*h. Factor t(u).
3*(u - 2)**2*(u + 1)/5
Let t = -10757 + 86059/8. Solve 9/8*f**3 - 9/8*f - 3/8*f**4 - t*f**2 + 3/4 = 0 for f.
-1, 1, 2
Let t be (4/114*1)/(19/57). Let k = 140/247 - t. Factor -k*r**2 - 2/13*r**3 + 0 - 4/13*r.
-2*r*(r + 1)*(r + 2)/13
Let 7*o**2 - 5 - 10*o**4 - 55*o**3 + 3 - 2*o**2 + 2 + 150*o = 0. Calculate o.
-5, -2, 0, 3/2
Let x(c) = -c**3. Let r(y) = y**3 - 8*y**2 - 4*y. Let k be 0 - (5 + -2)*(-5)/(-15). Let m(z) = k*r(z) - 5*x(z). Factor m(o).
4*o*(o + 1)**2
Let f(n) = n + 9. Let w be f(-7). Suppose 2*l + 0 - 10 = 0. Factor l*q**2 - 5*q**w - 3*q**2 + 3*q + 0*q**2.
-3*q*(q - 1)
Suppose 3/8*n**2 + 21/8*n - 45/4 = 0. Calculate n.
-10, 3
Let j(l) be the first derivative of -2/5*l**2 - 17/20*l**4 - 1/5*l**5 + 0*l - 16/15*l**3 + 32. Factor j(p).
-p*(p + 1)*(p + 2)*(5*p + 2)/5
Let w = 309 - 309. Let i(n) be the second derivative of 0*n**2 - 1/90*n**5 + 0 + w*n**3 + 1/54*n**4 - 3*n. Find g, given that i(g) = 0.
0, 1
What is u in 98/9 + 50/9*u**2 - 140/9*u = 0?
7/5
Let k be -1 + 4 + (-4 - -4). Suppose -5*o**2 + 10 - o - o - k*o = 0. Calculate o.
-2, 1
Let p(a) = -25*a**3 + 16*a**2 + 23*a - 18. Let t(f) = 12*f**3 - 8*f**2 - 11*f + 9. Let w(y) = -4*p(y) - 7*t(y). Factor w(i).
(i + 1)*(4*i - 3)**2
Suppose 60*m**2 + 239 + 0*m**3 - 3*m**3 + 97 - m**3 - 272*m = 0. What is m?
2, 6, 7
Suppose 3*v + 13 = 2*m + 3, 0 = 3*m + v - 4. Suppose r + 0 + 2 = -b, -12 = -2*r + m*b. Find k, given that 20*k**r - 8*k - 9*k + 12 - 11*k - 4*k**3 = 0.
1, 3
Factor 9*y + 1/6*y**2 + 53/6.
(y + 1)*(y + 53)/6
Suppose -2*z - 11 = 3*o, -2*o - 122 = -4*z - 104. Suppose -8/15 - 6/5*r - 4/5*r**z - 2/15*r**3 = 0. Calculate r.
-4, -1
Let t be 12/8*(-4)/(-6). Suppose -5*i - t + 21 = -f, -4*f + 8 = 2*i. Factor p**4 - 3*p**3 - 3*p**i + 3*p**4.
p**3*(p - 3)
Determine l so that 48*l**3 + 47*l**3 + 2*l**2 + 8*l - 99*l**3 + 2*l**2 = 0.
-1, 0, 2
Let t(o) be the third derivative of -o**6/840 + o**5/56 + 3*o**4/28 + 5*o**3/3 - 19*o**2. Let k(a) be the first derivative of t(a). What is u in k(u) = 0?
-1, 6
Let k(i) be the first derivative of i**4/8 + 3*i**3/2 + 27*i**2/4 + 27*i/2 + 37. Factor k(l).
(l + 3)**3/2
Let q = -5/769 - -149221/5383. Find c, given that 8*c + q*c**4 - 40/7*c**5 - 286/7*c**3 - 16/7 + 92/7*c**2 = 0.
-2/5, 1/4, 1, 2
Let k(w) be the first derivative of -w**4 - 32*w**3/3 + 30*w**2 + 216*w + 720. Factor k(n).
-4*(n - 3)*(n + 2)*(n + 9)
Solve 0 + 3*c - 1/3*c**5 - 8/3*c**3 - 2*c**4 + 2*c**2 = 0 for c.
-3, -1, 0, 1
Suppose 3*r = -2*b - 42, 3*r = -r. Let c = -18 - b. Solve 0*k + k**5 - k**c + 7*k**2 - 3*k**4 - 2*k + 2*k - 4 = 0.
-1, 1, 2
Let c(g) = 4*g**3 - 5*g**2 - 4*g + 5. Let z(v) = -6 + 5*v - 3*v**3 + 9*v + 4*v**2 + 10*v - 20*v. Let l(s) = -2*c(s) - 3*z(s). Let l(o) = 0. What is o?
-2, 2
Factor 5/6*o**3 + 3 - 1/6*o**4 + 31/6*o**2 + 43/6*o.
-(o - 9)*(o + 1)**2*(o + 2)/6
Suppose r - 6 = -21. Let g = 18 + r. Factor 0*q + 0*q**2 - 4/9*q**g + 0 + 2/9*q**4.
2*q**3*(q - 2)/9
Let 5/4*t**2 + t + 1/4*t**3 + 0 = 0. What is t?
-4, -1, 0
Let f = -443 - -445. Let d(a) be the first derivative of 0*a**f - 5 - 2/3*a**3 + 0*a. What is z in d(z) = 0?
0
Suppose 18*z = 20*z - 6. Suppose z*h + 4*h**5 + 33 - 8*h**3 - 33 + h = 0. What is h?
-1, 0, 1
Let o(p) = p**4 + 5*p**3 + 6*p**2 + 6*p - 6. Let l(j) = -5*j**3 - 5*j**2 - 5*j + 5. Let t = 2 - -4. Let d(n) = t*l(n) + 5*o(n). Factor d(a).
5*a**3*(a - 1)
Let q(a) be the first derivative of a**3/2 - 39*a**2/2 + 72*a + 253. Factor q(m).
3*(m - 24)*(m - 2)/2
Suppose -m + 3 = 0, x + 2*m = -2 + 13. Determine c, given that -11*c**2 + 8*c**2 - x + 4*c + 4*c**2 = 0.
-5, 1
Let c(k) = -2*k**3 + 4*k**2. Let v(g) = -23*g**3 + 52*g**3 - 28*g**3 - g**4 - g**2. Let a(q) = -c(q) - 2*v(q). Find m such that a(m) = 0.
-1, 0, 1
Let o be -4 + 4 + (-8 - -12). Let u(q) be the third derivative of 0 - o*q**2 - 2/3*q**3 + 1/30*q**5 + 0*q - 1/12*q**4. Factor u(f).
2*(f - 2)*(f + 1)
Let y(f) = -f**2 + f + 2. Let a be y(0). What is w in 5*w**3 - 13*w**3 + a*w**4 + 31 + 1 + 16*w + w**5 - 39*w**2 + 23*w**2 = 0?
-2, 2
Suppose -14*t + 12 - 1/2*t**4 + 7/2*t**3 - t**2 = 0. What is t?
-2, 1, 2, 6
Let p(l) = l**2 + 6*l + 3. Let x be p(-8). Suppose 20*m - 3 = x*m. Let 0*v**2 + 0*v - 3/2*v**m + 0 + 3/2*v**4 = 0. Calculate v.
0, 1
Let v(l) be the second derivative of -2*l**7/21 + 6*l**5/5 + 8*l**4/3 + 2*l**3 - l + 190. Factor v(c).
-4*c*(c - 3)*(c + 1)**3
Let c(u) = -10*u**3 - 366*u**2 + 368*u - 98. Let l(h) = -h**3 - 3*h**2 + h - 3. Let t(f) = -c(f) + 2*l(f). Find j, given that t(j) = 0.
-46, 1/2
Let v = 113 - 219. Let p = v + 110. Factor 2/5*i**p + 4/5*i**3 + 0 - 4/5*i - 2/5*i**2.
2*i*(i - 1)*(i + 1)*(i + 2)/5
Factor 26*a - 5*a - 1762*a**2 + 1763*a**2 + 23*a - 3*a.
a*(a + 41)
Suppose 274*v - 271*v = 0. Let l(t) be the third derivative of 0*t + 1/10*t**3 + 3/40*t**4 + 1/200*t**6 - 2*t**2 + v + 3/100*t**5. Solve l(a) = 0 for a.
-1
Let i(z) = -2*z**3 - 10*z**2 - 14*z - 6. Let f(l) = -3*l**3 - 15*l**2 - 21*l - 9. Let x(t) = 5*f(t) - 7*i(t). Factor x(c).
-(c + 1)**2*(c + 3)
Let y(c) = 9*c**3 + 14*c**2 - 4. Let x(k) = k**3 + k**2 - 1. Suppose 12*w + 9 + 3 = 0. Let d(z) = w*y(z) + 4*x(z). Factor d(a).
-5*a**2*(a + 2)
Let x be ((-2)/3)/(12/342). Let f = x - -21. Suppose f*l**2 - 9*l + 4*l**2 - 3*l**2 + 6*l = 0. What is l?
0, 1
Let o(l) = 2*l**3 + 70*l**2 + 640*l + 1026. Let h(n) = n**2 + 1. Let g(x) = 2*h(x) - o(x). Solve g(d) = 0 for d.
-16, -2
Let i(r) be the second derivative of r**8/560 + r**7/70 + r**6/60 - r**5/10 - 3*r**4/8 + r**3/3 - 5*r. Let s(c) be the second derivative of i(c). Factor s(u).
3*(u - 1)*(u + 1)**2*(u + 3)
Factor 0*g - 1/5*g**2 + 9/5.
-(g - 3)*(g + 3)/5
