Let h be ((-6)/8 - 15/(-12))*0. Factor -s**3 - 1/3*s**2 + h*s - s**4 - 1/3*s**5 + 0.
-s**2*(s + 1)**3/3
Let j(h) = 2*h + 8. Let l be j(-2). Suppose 8/7*x**2 + 0 - 8/7*x**l - 2/7*x**3 + 2/7*x = 0. Calculate x.
-1, -1/4, 0, 1
Let h = -99 - -102. Factor -24/7*p**4 + 0 + 2/7*p + 32/7*p**h - 2*p**2.
-2*p*(2*p - 1)**2*(3*p - 1)/7
Let v(q) be the first derivative of -q**7/315 + q**6/180 - 2*q**2 - 3. Let m(b) be the second derivative of v(b). Factor m(l).
-2*l**3*(l - 1)/3
Suppose 0 = -2*h - 20 + 24. Factor -9/7*u**h + 3/7*u**3 + 0 + 6/7*u.
3*u*(u - 2)*(u - 1)/7
Let n(m) be the first derivative of 3*m**4/4 - 6*m**3 + 27*m**2/2 - 12*m + 50. Factor n(u).
3*(u - 4)*(u - 1)**2
Let q(k) = -8*k**4 - 26*k**3 - 22*k**2 - 4*k - 7. Let z(j) = 4*j**4 + 13*j**3 + 11*j**2 + 2*j + 3. Let b(m) = -3*q(m) - 7*z(m). Factor b(t).
-t*(t + 1)*(t + 2)*(4*t + 1)
Let j(z) = -z**3 - 8*z**2 + 3. Suppose 0 = l + 4 + 4. Let m be j(l). Factor 0 + 4*t**2 - 2/3*t - 6*t**m.
-2*t*(3*t - 1)**2/3
Let f(m) be the third derivative of m**11/332640 - m**10/151200 - m**5/60 + 4*m**2. Let b(x) be the third derivative of f(x). Factor b(c).
c**4*(c - 1)
Let t(d) be the first derivative of 9*d**7/70 - 3*d**6/40 - d**5/4 - d**4/8 - 3*d**2/2 - 1. Let n(l) be the second derivative of t(l). Factor n(x).
3*x*(x - 1)*(3*x + 1)**2
Let i be ((-4)/(-12))/(28/21). Factor i*b**4 + 5/4*b**2 + b**3 + 0 + 1/2*b.
b*(b + 1)**2*(b + 2)/4
Let f(c) be the third derivative of -c**8/70560 + c**7/17640 + c**5/20 + 7*c**2. Let j(h) be the third derivative of f(h). Factor j(w).
-2*w*(w - 1)/7
Let b(z) be the first derivative of 6*z**5/5 + 15*z**4/4 - 3*z**3 - 12*z**2 + 12*z - 1. Find i, given that b(i) = 0.
-2, 1/2, 1
Let b(g) be the second derivative of -2*g**4/3 + 5*g**3/3 - g**2 - 3*g. Factor b(z).
-2*(z - 1)*(4*z - 1)
Factor -6 + 7*x**2 + 4*x**2 - 15*x - 2*x**2.
3*(x - 2)*(3*x + 1)
Let f = 4 + -2. Let i(q) be the first derivative of 1/12*q**4 + 0*q - f - 1/9*q**3 - 1/6*q**2 + 1/15*q**5. Factor i(b).
b*(b - 1)*(b + 1)**2/3
Suppose 5*y + 23 = 3*h - 3, 2*y = 2*h - 12. Let t be 4/3*6/h. Factor -t*d**5 + 4*d**5 - d**3 + 0*d**5 + d**5.
d**3*(d - 1)*(d + 1)
Let c = -56 + 58. Let p(t) be the first derivative of 0*t - 5/9*t**3 - 1/3*t**c + 1. Find i, given that p(i) = 0.
-2/5, 0
Factor 0 + 0*i**3 - 8/3*i**4 + 8/3*i**2 + 4/3*i - 4/3*i**5.
-4*i*(i - 1)*(i + 1)**3/3
Solve 0 + 8/3*k**2 + 2*k - 2/3*k**5 - 8/3*k**4 - 4/3*k**3 = 0 for k.
-3, -1, 0, 1
Let z be -1*0/(-3 + 6). Let t(s) be the third derivative of z*s + 4/21*s**3 + 1/210*s**5 + 0 - 1/21*s**4 - s**2. Suppose t(l) = 0. Calculate l.
2
Let m(o) = -o - 1. Let u(a) = 5*a**2 - 41*a + 24. Let j(f) = -6*m(f) + u(f). Determine h so that j(h) = 0.
1, 6
Let j(c) = 11*c**3 - 12*c**2 + 10*c - 6. Let f(s) = s**3 + s - 1. Let v(k) = 6*f(k) - j(k). Factor v(t).
-t*(t - 2)*(5*t - 2)
Let x(k) be the first derivative of -3*k**5/20 + 3*k**4/4 - k**3 - 4*k - 3. Let j(b) be the first derivative of x(b). Suppose j(v) = 0. What is v?
0, 1, 2
Let n(q) = q**2 - q - 1. Let g be n(-2). Determine v so that -v - 12*v**4 + 0*v + 2*v**2 - v**g + 2*v + 10*v**4 = 0.
-1, 0, 1
Let s(o) be the second derivative of -5/8*o**3 - 17/8*o**6 + 3/4*o**2 - 5*o + 51/16*o**5 - 25/16*o**4 + 0 + 1/2*o**7. Solve s(l) = 0.
-1/4, 2/7, 1
Suppose 3*z - 55 = -2*z. Let d = -7 + z. Factor 0 - 5/2*u**4 - 9*u**3 + d*u - 6*u**2.
-u*(u + 2)**2*(5*u - 2)/2
Let p be (-484)/168 + 3 - (-2)/12. Find b, given that p*b - 4/7*b**2 + 0 + 2/7*b**3 = 0.
0, 1
Let v(j) = 3*j**2 - 19*j + 11. Let x(c) = c**2 - 9*c + 5. Let u(p) = 3*v(p) - 5*x(p). What is q in u(q) = 0?
1, 2
Let r(z) = -z**2 - 14*z - 31. Let m be r(-11). Find c, given that 8/7*c + 8/7*c**3 - 2/7 - 2/7*c**4 - 12/7*c**m = 0.
1
Let z = -661/7 + 95. Let j(r) be the first derivative of z*r + 2/21*r**3 + 3/7*r**2 + 3. Find f such that j(f) = 0.
-2, -1
Let v(j) be the third derivative of j**8/210 + 2*j**7/175 - j**5/75 - 12*j**2. Find i such that v(i) = 0.
-1, 0, 1/2
Let b = -94 - -94. Let f(i) be the third derivative of b*i**4 + 4*i**2 + 0*i**3 + 0 + 0*i - 1/60*i**6 - 1/30*i**5. What is z in f(z) = 0?
-1, 0
Suppose -49*x + 15 = -46*x. Solve 0*m**2 + 0 + 1/3*m**4 + 0*m**3 + 0*m - 1/3*m**x = 0.
0, 1
Let g(p) = -5*p**5 - 4*p**4 + 7*p**3 - 6*p**2. Let a(i) = -i**5 - i**4 + i**3 - i**2. Let q be (-28)/35*30/4. Let y(r) = q*a(r) + g(r). Factor y(x).
x**3*(x + 1)**2
Let n(y) be the third derivative of 3*y**7/280 + y**6/30 + y**5/40 - 7*y**3/6 - 3*y**2. Let d(s) be the first derivative of n(s). Factor d(o).
3*o*(o + 1)*(3*o + 1)
Let k(y) be the first derivative of 2*y**3/33 - 3*y**2/11 - 8*y/11 - 27. Factor k(b).
2*(b - 4)*(b + 1)/11
Let w(g) = g**3 + 12*g**2 + g + 14. Let c be w(-12). Let x be ((-4)/(-6))/(20/48). What is b in -2/5 - 6/5*b**c - x*b = 0?
-1, -1/3
Factor -z**2 + 4*z**2 + 3*z**2 - 3*z + 12*z**3 - 15*z**3.
-3*z*(z - 1)**2
Let g(b) = b**2 + 6*b + 8. Let q be g(-6). Suppose 2*w = -2*w + q. Factor -o**4 - o**4 - 3*o**w + 4*o**4 + o**2.
2*o**2*(o - 1)*(o + 1)
Let x be (-28)/35 - (-4)/5. Let f(d) be the third derivative of x*d + 1/60*d**5 + 0 - 1/3*d**3 + 1/24*d**4 - d**2. Factor f(w).
(w - 1)*(w + 2)
Let l(d) be the second derivative of 3*d**5/20 + d**4/4 - d**3/2 - 3*d**2/2 + d. Let l(g) = 0. What is g?
-1, 1
Find x such that -94 - x**2 + x + 94 = 0.
0, 1
Let p(s) be the first derivative of -s**4/16 - s**3/6 + 7*s**2/8 - s + 1. Factor p(b).
-(b - 1)**2*(b + 4)/4
Find v, given that 0 + 1/4*v**3 - 5/4*v**2 + v = 0.
0, 1, 4
Let x(n) be the second derivative of -1/2*n**3 + 0*n**2 - 3*n + 0 - 1/4*n**4. Let x(s) = 0. What is s?
-1, 0
Suppose -v - 2 + 8 = x, 0 = 3*x - 6. What is b in b**v - 4*b**3 - b**2 + b**4 + 4*b**2 - b**2 = 0?
0, 1
Let f(c) = 3*c + 1. Let i be f(1). Let p be (-51)/(-15) - (-4)/(-10). Factor -1/2*l**p + 1/2*l + 1/2*l**i + 0 - 1/2*l**2.
l*(l - 1)**2*(l + 1)/2
Suppose 2*h + y - 280 = 5*y, 5*h - y - 664 = 0. Let v = -658/5 + h. Factor -v*g + 2/5*g**4 + 2/5 - 2/5*g**5 + 4/5*g**3 - 4/5*g**2.
-2*(g - 1)**3*(g + 1)**2/5
Let m(f) be the first derivative of -f**7/84 + f**6/30 - f**5/40 + 2*f - 2. Let u(c) be the first derivative of m(c). Factor u(h).
-h**3*(h - 1)**2/2
Let q be (1*(-9)/70)/((-150)/35). Let l(w) be the second derivative of w - 1/50*w**6 + 0*w**3 + 0*w**4 - q*w**5 + 0*w**2 + 0. Factor l(b).
-3*b**3*(b + 1)/5
Let t(x) be the second derivative of -5*x**7/84 - x**6/4 - x**5/4 + 5*x**4/12 + 5*x**3/4 + 5*x**2/4 - 28*x. Suppose t(j) = 0. Calculate j.
-1, 1
Let c(l) be the first derivative of -l**5/15 + l**4/4 - l**3/3 + l**2/6 - 6. Factor c(u).
-u*(u - 1)**3/3
Let y = 200 + -596/3. Suppose 0*p + 0 - y*p**3 + 2/3*p**2 - 2*p**4 = 0. What is p?
-1, 0, 1/3
Let b(h) be the third derivative of -h**9/45360 - h**8/10080 + h**6/1080 + h**5/360 - h**4/6 + 5*h**2. Let i(j) be the second derivative of b(j). Factor i(d).
-(d - 1)*(d + 1)**3/3
Let n(z) = -z**2. Let q = -3 - -4. Let f(s) = -7*s**2 - 2*s + 4. Let h(d) = q*f(d) - 5*n(d). Factor h(v).
-2*(v - 1)*(v + 2)
Let o be ((-42)/(-49))/(78/28). Suppose o*l + 0*l**2 - 2/13 - 4/13*l**3 + 2/13*l**4 = 0. What is l?
-1, 1
Let f(z) be the first derivative of 6*z - 2 + z**3 + 9/2*z**2. What is a in f(a) = 0?
-2, -1
Suppose 2*j + 3 = 7. Let g be 8/3 + -4 + j. Let 4/3*p + g*p**2 + 2/3 = 0. What is p?
-1
Let h(s) be the first derivative of s**5/2 - 5*s**3/2 + 5*s**2/2 - 14. Determine q, given that h(q) = 0.
-2, 0, 1
Let y(h) be the second derivative of h**8/16800 - h**7/2100 + h**6/600 - h**5/300 + h**4/4 - 3*h. Let b(v) be the third derivative of y(v). Factor b(j).
2*(j - 1)**3/5
Factor -1/5*p**5 + 0*p**4 - 1/5*p + 0*p**2 + 0 + 2/5*p**3.
-p*(p - 1)**2*(p + 1)**2/5
Let y = -2708 + 13606/5. Solve y*m**2 + 0 + 32/5*m**4 - 18/5*m - 16*m**3 = 0.
0, 3/4, 1
Suppose 0 = 5*l - 22 + 2. Let k = 177/2 + -87. What is x in k*x + 0 + 15/4*x**l - 15/4*x**2 - 3/2*x**3 = 0?
-1, 0, 2/5, 1
Let v = -16 + 24. Let r be 2/(-28)*v/(-2). Solve 2/7 - r*q + 2/7*q**3 - 2/7*q**2 = 0 for q.
-1, 1
Let o(r) be the third derivative of -r**5/12 + 25*r**2. Suppose o(t) = 0. Calculate t.
0
Factor 0 + 0*k**3 - 1/4*k**4 + 1/4*k**5 + 0*k + 0*k**2.
k**4*(k - 1)/4
Suppose 3 = -5*k + 13. Let v be (-4)/6*24/(-40). Suppose -2/5*c + v*c**k - 4/5 = 0. Calculate c.
-1, 2
Let r be 2/5 - 20/(-75). Factor 2/3*d**2 - r + 0*d.
2*(d - 1)*(d + 1)/3
Let w(u) be the second derivative of