5. Let t be (-3)/6*g/(-1). Factor 7/5*d**3 + 0*d + t - 1/5*d**2 + 9/5*d**5 - 3*d**4.
d**2*(d - 1)*(3*d - 1)**2/5
Let g(c) be the second derivative of -c**5/5 - 5*c**4/3 - 14*c**3/3 - 6*c**2 - 4*c + 2. Suppose g(v) = 0. What is v?
-3, -1
Let h(p) be the second derivative of p**6/900 - p**5/150 + p**3/6 + 4*p. Let b(t) be the second derivative of h(t). Find x such that b(x) = 0.
0, 2
Let y be -5 + (6 - (-3)/(-3)). Let c(h) be the first derivative of y*h + 1/9*h**3 + 1/6*h**2 - 3. Suppose c(l) = 0. What is l?
-1, 0
Let s(u) be the first derivative of u**4/14 - 8*u**3/21 + 5*u**2/7 - 4*u/7 - 14. Suppose s(g) = 0. Calculate g.
1, 2
Let j(p) be the third derivative of 0 - 3/490*p**7 + 0*p + 1/784*p**8 + 3/280*p**6 + 0*p**3 - 1/140*p**5 + 4*p**2 + 0*p**4. What is m in j(m) = 0?
0, 1
Let w(v) = 280*v**4 + 856*v**3 + 692*v**2 + 172*v. Let b(a) = 31*a**4 + 95*a**3 + 77*a**2 + 19*a. Let g(f) = 28*b(f) - 3*w(f). Factor g(z).
4*z*(z + 1)*(z + 2)*(7*z + 2)
Let q(s) be the first derivative of -3*s**4/4 + 9*s**2/2 - 6*s + 2. Suppose q(x) = 0. What is x?
-2, 1
Let x(z) be the second derivative of z**4/18 + 2*z**3/3 + 3*z**2 + 2*z. Factor x(g).
2*(g + 3)**2/3
Let y(t) be the second derivative of t**9/13608 - t**7/1260 - t**6/810 - 2*t**3/3 + t. Let b(g) be the second derivative of y(g). Factor b(k).
2*k**2*(k - 2)*(k + 1)**2/9
Let z(t) be the second derivative of 1/42*t**7 + 0*t**2 + 0 - 1/10*t**5 + 1/6*t**3 + 0*t**6 + t + 0*t**4. Factor z(c).
c*(c - 1)**2*(c + 1)**2
Let d(b) be the first derivative of -2*b**5/45 - 2*b**4/9 - 2*b**3/9 + 33. Factor d(u).
-2*u**2*(u + 1)*(u + 3)/9
Let v(g) = -g**4 - g**3 - 2*g**2 + 2. Let o(m) = -9*m**4 - 9*m**3 - 16*m**2 + 17. Let u(b) = -6*o(b) + 51*v(b). Solve u(x) = 0 for x.
-2, 0, 1
Suppose -12 = -3*j - j. Let p = j + -1. Factor -2*m**3 + 4*m**2 - 2*m + 2*m**2 - 2*m**p.
-2*m*(m - 1)**2
Let s(w) be the third derivative of w**11/166320 + w**10/75600 - w**5/30 + w**2. Let z(n) be the third derivative of s(n). Factor z(o).
2*o**4*(o + 1)
Let r(h) = h**2 + 6*h + 5. Let p be r(-6). Suppose -m + 1 = f, -2*m - 3*f = -7*m + p. Factor 4*d**3 - 1 + m + 2*d**4 - 6*d**3.
2*d**3*(d - 1)
Factor -3/7*r**2 - 48/7 + 24/7*r.
-3*(r - 4)**2/7
Let p = -267 + 5873/22. Let h = p - -6/11. Let -1/4*q**5 + h*q + 0 - 1/4*q**3 + 3/4*q**2 - 3/4*q**4 = 0. Calculate q.
-2, -1, 0, 1
Solve 0 - 2/7*a**2 - 2/7*a = 0 for a.
-1, 0
Suppose -23 = -2*h + 5*s, -5*h + 4*s + 3 + 12 = 0. Let t = 3 + h. Factor -8*a - 5*a**t - 2 - a + 2*a.
-(a + 1)*(5*a + 2)
Let y be -4 + 45/5 + 0 + 0. Let r(q) be the third derivative of 0*q**4 + 0 + 0*q - 1/270*q**y + 0*q**3 - 2*q**2. Factor r(w).
-2*w**2/9
Let b(j) be the second derivative of -j**7/280 + j**6/90 + j**5/30 + 5*j**3/3 + 8*j. Let a(q) be the second derivative of b(q). Solve a(n) = 0 for n.
-2/3, 0, 2
Let m = 1/280 + 277/840. Solve -m*r**2 - 2/3 + r = 0.
1, 2
Let i(t) be the second derivative of 1/6*t**4 - 1/30*t**5 - 3*t + 0 + 1/9*t**3 - 1/45*t**6 - 2/3*t**2. Find c such that i(c) = 0.
-2, -1, 1
Solve -8*f - 9*f**5 + 5*f**5 + 15*f**2 + 3*f**3 - 5*f**2 + 3*f**5 - 4*f**4 = 0 for f.
-4, -2, 0, 1
Let g = -334 + 337. Factor -4/11*i**2 + 2/11*i**g + 2/11*i + 0.
2*i*(i - 1)**2/11
Let c(i) be the third derivative of 0*i + 0 + 2/35*i**7 + 5*i**2 - 1/8*i**4 - 1/112*i**8 + 1/5*i**5 - 3/20*i**6 + 0*i**3. Factor c(d).
-3*d*(d - 1)**4
Let w be 3/2*(-16)/48*-10. Factor 3*p**4 + 5/4*p**w + p**3 - 9/4*p - 5/2*p**2 - 1/2.
(p - 1)*(p + 1)**3*(5*p + 2)/4
Determine v, given that -4*v**5 - 8*v + 12*v**3 - 24*v**4 + 5*v**4 + 9*v**2 + 5*v**4 + 5*v**2 = 0.
-4, -1, 0, 1/2, 1
Factor -2/11*a**3 - 2/11 + 2/11*a + 2/11*a**2.
-2*(a - 1)**2*(a + 1)/11
Let s be 3/24 + 8/(-64). Let i(r) be the third derivative of 0*r**4 - 2*r**2 - 1/420*r**7 + 0*r**3 + 1/120*r**5 + 0*r**6 + 0*r + s. Factor i(q).
-q**2*(q - 1)*(q + 1)/2
Let n = 3139/5 + -627. Let b(u) = u**2 - 1. Let r be b(-1). Suppose -n*z + r + 2/5*z**2 = 0. What is z?
0, 2
Let r(d) = 14*d - 10. Let t(n) = 5*n - 3. Let z(g) = -2*r(g) + 7*t(g). Let l(c) = c**3 + 15*c - 2. Let u(x) = 4*l(x) - 9*z(x). Factor u(j).
(j + 1)*(2*j - 1)**2
Factor 0*m - 2/5*m**2 + 2/5.
-2*(m - 1)*(m + 1)/5
Find p such that -2/3 + 1/3*p**3 - 4/3*p**2 + 5/3*p = 0.
1, 2
Let j(n) = n**3 + 5*n**2 + 4*n + 9. Let r be j(-4). Let l be (-14)/(-21) - (-2)/24. What is v in 5*v**2 + l*v + 7*v**5 - 1/2 - r*v**4 - 13/4*v**3 = 0?
-1/2, 2/7, 1
Suppose -4*l - 5*g + 2*g = -130, 3*l + 2*g = 97. Suppose -5*y = -l + 11. Find p, given that -p**y - 1/3*p**3 + 0 - 2/3*p**5 + 0*p + 0*p**2 = 0.
-1, -1/2, 0
Let x be 19/3 - (-5)/(-15). Suppose 3*n = x*n. Factor 0 + 0*m**4 - 2/9*m**5 + 0*m**2 + n*m + 2/9*m**3.
-2*m**3*(m - 1)*(m + 1)/9
Let d(z) be the third derivative of -1/10*z**5 - 1/30*z**6 + 0*z + 4/3*z**3 - 2*z**2 + 1/105*z**7 + 0 + 1/3*z**4. Factor d(c).
2*(c - 2)**2*(c + 1)**2
Let k(b) = -b**3 + 10*b**2 - 9*b + 3. Let f be k(9). Let j be ((-20)/(-42))/(f/18). Factor 2/7*w**5 + j*w**2 + 2/7 + 10/7*w + 10/7*w**4 + 20/7*w**3.
2*(w + 1)**5/7
Let q = -15 - -16. What is k in -24*k**2 + q - 5 + 2*k**3 - 3*k**3 + 22*k - 17*k**3 = 0?
-2, 1/3
Let s(u) = 9*u**3 - 7*u + 8. Let a(r) = -4*r**3 + 4*r - 4. Suppose 13 = 4*g - 7. Let h(w) = g*a(w) + 2*s(w). Factor h(f).
-2*(f - 1)**2*(f + 2)
Let s be 34/10 - 6/(-10). Suppose -6/7*l**2 + 6/7*l**3 + 0 - 2/7*l**s + 2/7*l = 0. What is l?
0, 1
Factor -31 - 336*q**3 - 31*q**4 - 67*q**4 + 192*q - 176*q**2 - 1.
-2*(q + 2)**2*(7*q - 2)**2
Let g be 2/(-3) + (-4)/(-6). Let o(y) be the third derivative of 0*y**4 + 0*y + 0*y**5 + 1/60*y**6 + g*y**3 + y**2 + 1/105*y**7 + 0. Factor o(k).
2*k**3*(k + 1)
Let m = 71/3 + -23. Let r be 6/(-9) + (-14)/(-3). What is p in -4/3 - 2/3*p**r + 2/3*p + 2*p**2 - m*p**3 = 0?
-2, -1, 1
Let j(u) = 0*u - 14*u + 0 + 2 + u**2. Let f(y) = 12*y + 7*y - 18*y. Let s(t) = 22*f(t) + 2*j(t). Factor s(i).
2*(i - 2)*(i - 1)
Let c(d) = -2*d**2 - 12*d - 5. Let p be c(-5). Let a(r) be the second derivative of 2*r**3 - 4*r**2 + 0 + 3/2*r**4 - r + 1/4*r**p. Find y such that a(y) = 0.
-2, 2/5
Let g(y) be the first derivative of -1/6*y**3 - 2 + 1/4*y**2 + 0*y. Factor g(j).
-j*(j - 1)/2
Let i(m) = m**3 + 3*m**2 - m - 1. Let c be i(-3). Suppose 0 = q + b - 1, c*q + b + 1 - 6 = 0. Suppose 0*g + 0 - 6/5*g**q - 2/5*g**2 + 8/5*g**3 = 0. Calculate g.
0, 1/3, 1
Let h be (-24)/180 + 3/(45/2). Factor h + 1/2*z + 1/2*z**2.
z*(z + 1)/2
Suppose 10*x - 5*x = -3*x. Let -2/5*i**5 - 2/5*i + 4/5*i**3 + 0*i**4 + x*i**2 + 0 = 0. What is i?
-1, 0, 1
Let u(w) be the first derivative of w**5/25 + w**4/10 - w**3/15 - w**2/5 - 14. Let u(g) = 0. Calculate g.
-2, -1, 0, 1
Let u(r) be the third derivative of -r**6/180 + r**5/90 + 14*r**2. Factor u(w).
-2*w**2*(w - 1)/3
Suppose -3*i = -5*a - 563, i = -0*a + a + 185. Let g = i - 1265/7. Factor g*d**3 - 2/7*d**4 + 6/7*d**2 + 4/7 - 10/7*d.
-2*(d - 1)**3*(d + 2)/7
Let w(o) be the third derivative of -o**6/40 + 3*o**4/8 - o**3 + 3*o**2. Suppose w(c) = 0. Calculate c.
-2, 1
Let b(j) = -j - 1. Let d(q) = -3*q**2 + 30*q + 6. Let f(r) = 18*b(r) + d(r). Solve f(x) = 0.
2
Let y(g) be the second derivative of -g**7/189 + 4*g**6/135 - g**5/18 + g**4/27 + 17*g. Solve y(i) = 0.
0, 1, 2
Suppose 2*l + 0*l = 16. Suppose -u + 8 + l = -3*t, -2*t - 4 = u. What is q in -2*q**2 - 8*q**u + 2*q - 10*q**3 - 2*q = 0?
-1, -1/4, 0
Suppose -8*h - 20 = -36. Factor 0 - 2/7*w**3 + 2/7*w**h + 4/7*w.
-2*w*(w - 2)*(w + 1)/7
Let y(q) = 2*q**2 - q. Let x(k) = -k**2. Let d(f) = -4*f - f**2 - 3 - 2*f + 0*f. Let c be d(-6). Let m(t) = c*x(t) - y(t). Factor m(u).
u*(u + 1)
Let s = -24 - -26. Suppose -5*a = -15, 4*a - 21 - 1 = -5*k. Let -l**s - l**k + 3*l**4 - 3*l**4 + 3*l**3 - l**5 = 0. Calculate l.
-2, 0, 1
Let -2 - 2/3*u**2 + 8/3*u = 0. Calculate u.
1, 3
Let d(w) be the first derivative of w**4/16 - w**3/12 - 5*w**2/8 - 3*w/4 - 10. Factor d(r).
(r - 3)*(r + 1)**2/4
Let f(j) = -j**3 + 13*j**2 + j - 10. Let r be f(13). Suppose 0 = -i + n + 3*n - 8, n - 2 = 0. Suppose -1/2*g**4 + i + g + 1/2*g**2 - g**r = 0. What is g?
-2, -1, 0, 1
Suppose -5*f + 55 = 10. Let j = -17/2 + f. Determine w, given that -j*w**2 - w + 0 = 0.
-2, 0
Let z be (2/(-70))/(2/(-10)). Let i(w) be the first derivative of -2/21*w**3 - 2 - z*w**2 + 4/7*w. Suppose i(x) = 0. What is x?
-2, 1
Let x(j) = -j**2 - 7*j - 1. Let v be 1 - -2 - (-1 - -10). Let o be x(v). Determ