(-1 - f)/(-8 - -3). Factor -3/5*x**5 - l*x**3 + 0*x + 0 + 0*x**2 + 4/5*x**4.
-x**3*(x - 1)*(3*x - 1)/5
Let a(b) be the first derivative of -b**6/30 + 3*b**4/20 + 2*b**3/15 + 27. Suppose a(g) = 0. Calculate g.
-1, 0, 2
Factor 1 + 9*d + 16*d**3 - 4*d**2 + 21*d**2 - d**2 + 8*d**2.
(d + 1)*(4*d + 1)**2
Determine t, given that -2*t - 4*t**3 + 9*t - 12*t**4 + 0*t + 9*t + 56*t**2 - 32 = 0.
-2, -1, 2/3, 2
Let o(r) be the third derivative of r**7/7560 - r**6/2160 + r**4/8 + 2*r**2. Let t(q) be the second derivative of o(q). Factor t(b).
b*(b - 1)/3
Let i be 3/(-1) - 341/(-132). Let y = i + 3/4. Determine j so that -1/3 - j**2 + j + y*j**3 = 0.
1
Let h(v) be the first derivative of v**4/6 + v**3 + 2*v**2 + 7*v + 3. Let s(o) be the first derivative of h(o). Factor s(n).
2*(n + 1)*(n + 2)
Let y(w) = -2*w**2 - 15*w - 7. Let l be y(-7). Suppose -1/3*k**3 + l + k**2 - 2/3*k = 0. Calculate k.
0, 1, 2
Let r = 3 + 4. Let b(m) be the second derivative of -5/12*m**4 + 0*m**2 + 0 - 7/30*m**6 - 2*m + 1/21*m**r + 1/6*m**3 + 9/20*m**5. Factor b(d).
d*(d - 1)**3*(2*d - 1)
Let g = 98/375 - -9/125. Factor -1/6*a**4 + g*a + 0 + 1/2*a**2 + 0*a**3.
-a*(a - 2)*(a + 1)**2/6
Let c(v) be the second derivative of 49/10*v**6 - 21/5*v**5 - 6*v**2 + 14*v**3 + 0 - 45/4*v**4 - 4*v. Let c(p) = 0. What is p?
-1, 2/7, 1
Let k(v) be the first derivative of -v**6/1800 - 2*v**3/3 + 1. Let d(h) be the third derivative of k(h). Factor d(b).
-b**2/5
Let n(u) = -7*u**5 + u**4 - 4*u**3 + u**2 + 11*u + 3. Let k(o) = -4*o**5 - 2*o**3 + o**2 + 6*o + 2. Let p(z) = -10*k(z) + 6*n(z). What is g in p(g) = 0?
-1, 1
Suppose 0 = -5*h - 4*n + 33, 2*h + 5 = -3*n + 21. Let -29*w**4 + 15*w**5 + h*w**4 + 0*w**3 + 3*w**3 + 6*w**2 = 0. Calculate w.
-2/5, 0, 1
Let r(o) be the third derivative of -o**7/1365 - o**6/780 + o**5/195 + 5*o**2. Find m, given that r(m) = 0.
-2, 0, 1
Let y(h) = -h - 18. Let d be y(-18). Let s(g) be the third derivative of 0 + d*g - 1/15*g**3 + 2*g**2 - 1/150*g**5 + 1/24*g**4. Factor s(c).
-(c - 2)*(2*c - 1)/5
Let c(a) = -6*a**2 - a + 2. Let r(i) = i**2 + i - 1. Let k(j) = 5*c(j) + 10*r(j). Factor k(f).
-5*f*(4*f - 1)
Factor 4*r - r**2 + 0*r**2 - r**2 + 6*r**2.
4*r*(r + 1)
Let d = -1 - -3. Suppose -d*n + 2 = -n. Let -z**4 - z**2 + 4*z**2 - 2*z**n = 0. Calculate z.
-1, 0, 1
Let p(i) be the second derivative of 2*i**7/147 - 8*i**6/105 + 4*i**5/35 + 2*i**4/21 - 10*i**3/21 + 4*i**2/7 - 22*i. Factor p(o).
4*(o - 2)*(o - 1)**3*(o + 1)/7
Suppose a - 8 = 2*g, 3*a = 4*g - g + 15. Factor p**3 + 3*p**a - 6*p + p - p**4 + 2 + 0*p**4.
-(p - 1)**3*(p + 2)
Let g(y) = -y**2 + 3. Let k(x) = -x**3 - 5*x**2 - 2*x - 3. Let n be k(-4). Let m(o) = -5*o**2 + 16. Let i(h) = n*g(h) + 2*m(h). Factor i(b).
(b - 1)*(b + 1)
Let i(c) = -2*c**2 - 68*c - 65. Let x be i(-33). Let -d + x + 1/4*d**2 = 0. What is d?
2
Let t(o) = -2*o**2 + 13. Let y(k) = -k**2 + 6. Let d(q) = 6*t(q) - 13*y(q). Determine c so that d(c) = 0.
0
Let r(l) = -l**2 - 11*l - 4. Let t be r(-6). Let z be (-6)/10 - t/(-10). Factor 4*p**z + p**2 - 2*p - 3*p**2 + 4*p - 2*p**3 - 2*p**4.
-2*p*(p - 1)*(p + 1)**2
Let u(k) be the third derivative of -k**10/831600 + k**8/55440 - k**6/3960 + k**5/30 - 4*k**2. Let s(x) be the third derivative of u(x). Solve s(v) = 0 for v.
-1, 1
Let f(a) = -4*a**3 + 2*a**2 + 2*a - 2. Let n(o) = 16*o**3 - 7*o**2 - 7*o + 7. Let z(x) = -9*f(x) - 2*n(x). Determine c so that z(c) = 0.
-1, 1
Suppose 28 = 4*l + 4*z, l + 5*z = 3*l. Factor 1/5*i**l + 0 + 1/5*i**3 + 0*i**2 + 0*i - 2/5*i**4.
i**3*(i - 1)**2/5
Let w(c) be the third derivative of 0*c**3 + 0*c**4 + 0*c - 1/1470*c**7 - 1/420*c**6 + 0 - 3*c**2 - 1/420*c**5. Factor w(s).
-s**2*(s + 1)**2/7
Let u(q) be the second derivative of 1/80*q**5 + 5*q + 1/168*q**7 - 1/60*q**6 + 0 + 0*q**3 + 0*q**2 + 0*q**4. What is b in u(b) = 0?
0, 1
Let i(s) be the third derivative of s**6/40 - s**5/60 - 3*s**2. Let a(c) = -4*c**3 + 2*c**2. Let n(f) = 4*a(f) + 6*i(f). Factor n(r).
2*r**2*(r + 1)
Factor 1/2*z**5 + 0 + 9*z**3 - 10*z**2 + 4*z - 7/2*z**4.
z*(z - 2)**3*(z - 1)/2
Factor 10*q**3 + 3*q**5 - 23*q**3 + 6*q**2 + 4*q**3.
3*q**2*(q - 1)**2*(q + 2)
Let z = 9 - 3. Find r such that -z*r**3 + r**3 - 5*r**3 - 4*r**2 = 0.
-2/5, 0
Let s(l) be the third derivative of -2*l**2 - 2/9*l**3 + 0*l + 0*l**4 + 0 + 1/180*l**5. Find k, given that s(k) = 0.
-2, 2
Let q(y) be the first derivative of y**6/9 + 8*y**5/15 + 2*y**4/3 - 4*y**3/9 - 5*y**2/3 - 4*y/3 - 2. Let q(g) = 0. Calculate g.
-2, -1, 1
Let h = 29 - 115/4. Factor -h*o**2 + 1/2*o - 1/4.
-(o - 1)**2/4
Suppose a = -0*d - d + 6, 8 = 2*a. Let n = d + -2. Determine y, given that n*y**3 + 2*y**2 + y**3 - y**3 - 2 - 2*y + 2*y**3 = 0.
-1, 1
Let t(z) = -8*z**4 - 37*z**3 - 31*z**2 - 11*z. Let r(v) = -24*v**4 - 112*v**3 - 94*v**2 - 34*v. Let i(a) = -5*r(a) + 16*t(a). Factor i(q).
-2*q*(q + 3)*(2*q + 1)**2
Let p(g) be the third derivative of -g**6/72 + g**5/12 - 10*g**3/9 + 17*g**2. Factor p(k).
-5*(k - 2)**2*(k + 1)/3
Let r be 10/15 + (-110)/(-6). Suppose -4*d + r - 7 = 0, 4*i + 4*d = 24. Factor 3*m**3 + 3*m**i - 7*m**5 + 5*m**5 - 2*m**4 + 2*m**2 - 4*m**3.
-2*m**2*(m - 1)*(m + 1)**2
Let c = 43/69 + 1/23. Factor 0 - c*v**3 + 2/3*v**2 + 4/3*v.
-2*v*(v - 2)*(v + 1)/3
Let a(l) be the first derivative of l**3/3 + 3*l**2/2 - 2*l + 1. Let i be a(-4). What is k in 2/3*k**3 - 2/3*k - 2/3*k**i + 2/3 = 0?
-1, 1
Let p(u) be the second derivative of u**4/4 - 11*u. Factor p(h).
3*h**2
Factor 0*r**2 + 4/5*r**4 - 6/5*r**5 + 0 + 2/5*r**3 + 0*r.
-2*r**3*(r - 1)*(3*r + 1)/5
Let g be (-1)/(-4) + (-1573)/(-44). Let v be (-113)/(-30) - 6/g. Let -v - 12/5*u - 2/5*u**2 = 0. What is u?
-3
Let m = -1 - -4. Factor 2*c**3 + 6*c**2 - 10*c + 9 - m*c**4 - 5 + 5*c**4 - 4*c**4.
-2*(c - 1)**3*(c + 2)
Suppose 7 = -m + 9. Find d, given that 9*d**3 + 12*d + 18*d**m + 8/3 = 0.
-2/3
Let w(v) = v - 8. Let l be w(10). Let x be (l - (4 - 0))*-1. Factor 3/4*q**3 - 1/4 - 3/4*q + 1/4*q**x.
(q - 1)*(q + 1)*(3*q + 1)/4
Let p(q) be the third derivative of q**6/60 - q**4/12 + 19*q**2. Factor p(o).
2*o*(o - 1)*(o + 1)
Let j(t) = -t**3 + t**2 + 1. Let q be j(2). Let l be q*(1 - (-6)/(-3)). Factor -39*n**3 + 4*n**2 + 2*n + 2 - 6 + 37*n**l.
-2*(n - 2)*(n - 1)*(n + 1)
Let y(f) be the first derivative of 25*f**6/6 + 8*f**5 + 5*f**4/4 - 10*f**3/3 + 3. Find b, given that y(b) = 0.
-1, 0, 2/5
Suppose -4 = c - 2*z - 0*z, -2*c - 3*z + 20 = 0. Let p be (-30)/c*8/(-21). Factor -80/7*r**3 + 66/7*r**2 + 2/7 - p*r + 32/7*r**4.
2*(r - 1)**2*(4*r - 1)**2/7
Let m = -1/325 + 327/650. Factor m*u**2 - 1/2*u - 1.
(u - 2)*(u + 1)/2
Let d(h) be the second derivative of h**4/6 + 2*h**3/3 + h**2 + h. Let d(f) = 0. Calculate f.
-1
Let f(o) = o**2 - 5*o - 6. Let n(r) = r**2 - 6*r - 7. Let w(b) = 6*f(b) - 5*n(b). Factor w(m).
(m - 1)*(m + 1)
Suppose 3*g - 4 = 11. Let b be 3 - (g/(-2))/(-1). Suppose b*a**2 - 1/2*a**3 + 1/2*a - 1/2 = 0. Calculate a.
-1, 1
Let j(x) = -2*x - 8. Let u be j(-7). Let r be u/8 - 42/(-24). Factor -y**2 + 1 + r*y**3 - 5/2*y.
(y - 1)*(y + 1)*(5*y - 2)/2
Find s, given that -54*s**5 - 8 - 54*s**4 + 54*s**3 + 4*s**2 - 6*s**2 + 64*s**2 = 0.
-1, -2/3, 1/3, 1
Let t be (-200)/175*(-7)/10. Factor 0*n + 0 - t*n**2.
-4*n**2/5
Let u be 8/(-6)*18/(-12). Let q = 3 + u. Solve 14*n**5 - 4 + 3 - q*n - 39*n**4 + 3 + 31*n**3 - 4*n + n**2 = 0.
-1/2, 2/7, 1
Let u(h) be the third derivative of -h**7/630 + h**5/180 + 12*h**2. Solve u(j) = 0 for j.
-1, 0, 1
Let i(y) = 3*y - 9. Let f(t) = -t**2 + 9*t - 14. Let n be f(6). Let b be i(n). Suppose 0*u**b + 0 - 4/9*u**4 - 2/9*u**5 + 2/9*u + 4/9*u**2 = 0. What is u?
-1, 0, 1
Let a = -2/51 - -12/17. Let u(b) be the first derivative of a*b + 2 - 7/9*b**3 + 5/6*b**2. Factor u(q).
-(q - 1)*(7*q + 2)/3
Determine g, given that -2 + 0*g + 8 - 3*g - 3*g**2 = 0.
-2, 1
Let a(l) be the second derivative of 2*l**6/45 - l**5/60 - l**4/3 - 5*l**3/18 + l**2/3 + 7*l. Solve a(w) = 0.
-1, 1/4, 2
Suppose -m - 18 = m. Let b = 9 + m. Factor b*y + 5/2*y**3 + 0 - 9/2*y**5 + 3/2*y**4 + 1/2*y**2.
-y**2*(y - 1)*(3*y + 1)**2/2
Let c(t) be the third derivative of -t**9/5040 - t**8/2240 + t**7/840 + t**6/240 - t**4/8 - 2*t**2. Let a(y) be the second derivative of c(y). Factor a(s).
-3*s*(s - 1)*(s + 1)**2
Let -42*l**3 - 10*l**3 + 13*l**4 + 16*l**2 - l**4 = 0. Calculate l.
0, 1/3, 4
Let b(t) be the first derivative of -t**7/4