+ g**n - 1/2*g**3 + 0*g - g**4 + 1/2*g**5.
g**2*(g - 2)*(g - 1)*(g + 1)/2
Let i be (1 - -1) + 0 - 44. Let a = -20 - i. Let d(y) = 10*y**2 + 12*y - 11. Let p(q) = -q**2 - q + 1. Let s(h) = a*p(h) + 2*d(h). Factor s(w).
-2*w*(w - 1)
Let g(n) be the first derivative of -1/4*n - 1/4*n**2 - 1 - 1/12*n**3. Factor g(c).
-(c + 1)**2/4
Let d(t) be the second derivative of t**7/210 - 2*t**6/45 + 2*t**5/15 - 2*t**3/3 - 3*t. Let h(v) be the second derivative of d(v). Solve h(l) = 0 for l.
0, 2
Let k = 17 + -15. Let u(r) be the first derivative of -1 + 0*r + 1/25*r**5 - 1/15*r**3 - 1/20*r**4 + 1/10*r**k. Factor u(b).
b*(b - 1)**2*(b + 1)/5
Factor -200 - 2*v**2 - v + 79*v - 37*v - v.
-2*(v - 10)**2
Suppose 21*y - 41*y + 40 = 0. Factor 2/3*g**3 - 2/3*g**5 + 0*g + 2/3*g**y - 2/3*g**4 + 0.
-2*g**2*(g - 1)*(g + 1)**2/3
Let u be 10*((-2)/(12/10) - -2). Factor -u*s**3 + 0 + 0*s + 4/3*s**2.
-2*s**2*(5*s - 2)/3
Let j(g) = -g**3 - g. Let v(s) = -4*s**3 - s**2 - 13*s + 12. Let p(a) = 5*j(a) - v(a). Factor p(n).
-(n - 2)**2*(n + 3)
Suppose 0 = 5*q - 2*c + 42 - 113, -3*q = 2*c - 49. Suppose 4*p = -p + q. Factor 36*n**p - 24/5*n**2 + 0*n + 0 - 90*n**4 + 75*n**5.
3*n**2*(5*n - 2)**3/5
Factor 2*v**4 - 6/7*v**5 + 4/7*v - 6/7*v**2 + 0 - 6/7*v**3.
-2*v*(v - 1)**3*(3*v + 2)/7
Let f be 8/20*5/4. Let u be 2/4*4/8. Solve -u*g**3 + 0 + f*g**2 - 1/4*g = 0.
0, 1
Find t, given that -1/4*t**2 + 3/4*t + 0 = 0.
0, 3
Let a(y) be the third derivative of -y**6/900 + y**5/50 - 3*y**4/20 - 2*y**3/3 + y**2. Let d(l) be the first derivative of a(l). Factor d(c).
-2*(c - 3)**2/5
Let d(n) = -n**5 + 3*n**3 - 2*n**2 - 2. Let g(q) = -q**5 + q**4 + q**3 - q**2 - 1. Let m(x) = -3*d(x) + 6*g(x). Suppose m(j) = 0. Calculate j.
0, 1
Let m(x) be the first derivative of -2*x**5/25 + 7*x**4/20 - 3*x**3/5 + x**2/2 - x/5 - 4. Factor m(j).
-(j - 1)**3*(2*j - 1)/5
Factor -1/3*m**3 + 2/3*m**2 - 1/6*m**4 - 1/2 + 1/3*m.
-(m - 1)**2*(m + 1)*(m + 3)/6
Find q, given that 25/7*q**4 + 1250/7*q**2 + 250/7*q**3 + 1/7*q**5 + 3125/7*q + 3125/7 = 0.
-5
Suppose -6*z = -3*z - 6. Let c = -1 + 3. Factor -c*f + 0*f + 0*f**2 - 2 + 2*f**3 + 2*f**z.
2*(f - 1)*(f + 1)**2
Let b(c) be the third derivative of 1/15*c**4 - c**2 + 0*c - 4/15*c**3 - 1/150*c**5 + 0. Let b(a) = 0. Calculate a.
2
Let i(t) = 4*t**3 - 24*t**2 - 4*t + 24. Let s(p) = -2*p**3 + 12*p**2 + 2*p - 12. Let o(f) = -4*i(f) - 7*s(f). Let o(l) = 0. What is l?
-1, 1, 6
Let v(l) = -l**2 + l - 1. Let h(u) = 2*u**2 - u + 3. Let g(c) = -h(c) - 3*v(c). Factor g(i).
i*(i - 2)
Let o(l) = l**2 - l. Let j be o(-4). Let z be (2 - 1) + j/(-25). Factor -4/5 - z*i**2 - 4/5*i.
-(i + 2)**2/5
Let j(q) = -3*q**2 - 16*q - 16. Let k be j(-4). Factor 2/13*f**2 + k*f + 0.
2*f**2/13
Let o(t) be the third derivative of -3*t**2 + 0*t + 1/150*t**5 + 0*t**3 + 0 + 1/60*t**4. Suppose o(m) = 0. What is m?
-1, 0
Let w(o) = o**2 + o + 2. Let s be w(0). Factor -3*y**4 + y**2 - 12 - 12*y + 0*y**s + 6*y**3 + 8*y**2.
-3*(y - 2)**2*(y + 1)**2
Let u(c) = 7*c**4 - 8*c**3 + c**2 - 6. Suppose 12 - 2 = -2*y. Let f(o) = 6*o**4 - 7*o**3 + o**2 - 5. Let b(h) = y*u(h) + 6*f(h). Factor b(n).
n**2*(n - 1)**2
Let w(h) = 4*h. Let z be w(-1). Let f be 1/z - (-3)/4. Factor -1/4*x - 1/4*x**2 + f.
-(x - 1)*(x + 2)/4
Let l = -35 - -38. Solve 6/5*t + 6/5*t**l - 16/5*t**2 + 4/5 = 0.
-1/3, 1, 2
Let k = -123 - -493/4. Suppose k*y**2 + 3/4*y + 1/2 = 0. Calculate y.
-2, -1
Factor r**2 - 26 - 10*r + 26.
r*(r - 10)
Let z = 64 + -62. Let u(a) be the first derivative of 0*a + 0*a**2 + z - 4/3*a**3 - 1/2*a**4 + 2/5*a**5. Solve u(j) = 0 for j.
-1, 0, 2
Suppose -7 = -0*o - 3*o + 2*d, 0 = 2*o + 5*d - 11. Determine p so that p**2 - 4 + 4 + p**o - 2*p**3 = 0.
0, 1
Let l be 6/15 - ((-96)/(-30) + -4). Find d, given that 2/5*d**2 + 4/5*d - l = 0.
-3, 1
Let x(h) be the third derivative of -h**6/80 + h**5/10 - 5*h**4/16 + h**3/2 - 14*h**2 - h. Suppose x(g) = 0. Calculate g.
1, 2
Let x(t) be the first derivative of t**3/5 + 9*t**2/5 + 27*t/5 + 16. Factor x(i).
3*(i + 3)**2/5
Let z(t) be the first derivative of -5*t**4 - 4*t**3 + 24*t**2 - 16*t + 42. Let z(w) = 0. What is w?
-2, 2/5, 1
Solve -10/7*n**3 + 0*n - 4/7*n**2 + 0 - 4/7*n**4 = 0.
-2, -1/2, 0
Let g(x) be the second derivative of 7/90*x**6 + 0*x**3 - 2/63*x**7 - 1/36*x**4 + 0*x**2 + 3*x - 1/30*x**5 + 0. Factor g(v).
-v**2*(v - 1)**2*(4*v + 1)/3
Let b(c) be the first derivative of 0*c**2 + 0*c + 1/3*c**3 - 1/360*c**6 + 1 + 1/12*c**4 + 1/120*c**5. Let l(w) be the third derivative of b(w). Factor l(d).
-(d - 2)*(d + 1)
Let i = 0 + 4. Let a(t) = -t**3 + 4*t**2 + 3. Let q be a(i). Determine l, given that 2/11*l - 2/11*l**q + 2/11*l**2 - 2/11 = 0.
-1, 1
Factor 1/4*r**3 + 0*r - 1/2*r**4 + 0*r**2 + 1/4*r**5 + 0.
r**3*(r - 1)**2/4
Let f(n) be the second derivative of 0*n**2 - 4*n + 1/9*n**3 + 0 + 1/36*n**4. Suppose f(d) = 0. Calculate d.
-2, 0
Let z(w) be the third derivative of -w**8/896 + w**7/280 - w**5/80 + w**4/64 + 16*w**2. Find i, given that z(i) = 0.
-1, 0, 1
Let x(f) = 2*f - 4. Let c be x(3). Find a such that -a - 2*a**c - 2*a - 2*a**2 + a**2 = 0.
-1, 0
Let z = 6 + -3. Factor t**z + 0*t**3 + 2*t**3 + 2*t**2.
t**2*(3*t + 2)
Suppose -h - h = -b - 10, -4*h - 4*b = -8. Let i = 3 - -2. Let 7*u**2 - 5*u - u**2 - i*u + h = 0. What is u?
2/3, 1
Solve -9/2*z - 1/2*z**3 - 3*z**2 + 0 = 0.
-3, 0
Let n(d) = 11*d**4 + 16*d**3 + 7*d**2 - 7. Let x(f) = -f**4 + f**2 + 1. Suppose 4*c = -0*c + 24. Let l = c + -5. Let i(t) = l*n(t) + 5*x(t). Factor i(y).
2*(y + 1)**3*(3*y - 1)
Let v = -10 + 10. Factor -a**3 + 9*a**3 + v*a**3 - 14*a**4 + 32*a**2 + 8*a + 2*a**3.
-2*a*(a - 2)*(a + 1)*(7*a + 2)
Suppose 3*q = q + 42. Factor 27*n + 4 + 20*n**2 + q*n - 72*n.
4*(n - 1)*(5*n - 1)
Suppose 2*d = -14*d - d. Factor 2/3*l**4 + 2*l**2 + d - 2/3*l - 2*l**3.
2*l*(l - 1)**3/3
Let i be 7 - 1 - (-3 + 5). Let n = 6 - i. Solve 6*f + 3*f**n - 5*f - 3*f - f**4 = 0.
-2, 0, 1
Let r be -5*(3 + (-38)/10). Factor -3/2*x**r + 0 + 0*x - 1/2*x**2 - 2*x**3.
-x**2*(x + 1)*(3*x + 1)/2
Let j(z) be the second derivative of 0 - 1/4*z**4 + 7/10*z**5 - 4/15*z**6 - 2/3*z**3 - 3*z + 1/2*z**2. Let j(s) = 0. Calculate s.
-1/2, 1/4, 1
Let b = 760/2709 - -2/387. Factor 2/7*l**3 - b*l - 2/7*l**2 + 2/7.
2*(l - 1)**2*(l + 1)/7
Solve 6/7 - 38/21*w - 2/21*w**3 + 22/21*w**2 = 0.
1, 9
Suppose -3*k + 2 = 4*b, -2*b - 6 = -5*k + 3*k. Let z be (-1 - 3*-6) + b. Factor 4 + 0*h**4 - 12 - 42*h**2 - 3*h**3 - 3*h**4 - z*h**3 - 36*h.
-(h + 2)**3*(3*h + 1)
Let s(o) = -o + 7. Let k be s(4). Let w(g) be the first derivative of 1 - 1/4*g**4 - 8*g - 6*g**2 - 2*g**k. Suppose w(u) = 0. Calculate u.
-2
Solve -55*r - 2*r**3 - 3*r**3 - 21*r**2 + 26 + 51*r**2 + 4 = 0.
1, 2, 3
Suppose 696 = 4*j - 252. Let s = 2135/9 - j. Solve 2/9*r**2 - 2/9*r - s + 2/9*r**3 = 0 for r.
-1, 1
Let i(m) be the first derivative of m**6/30 - m**5/20 + 2*m - 3. Let t(z) be the first derivative of i(z). Factor t(p).
p**3*(p - 1)
Let q(t) = -t**3 + 6*t**2 - 6*t + 5. Let n be q(5). Suppose -2*o = -n*o. Factor 5/2*v**4 + o*v**2 + 0*v - v**3 - 3/2*v**5 + 0.
-v**3*(v - 1)*(3*v - 2)/2
Let x = -1 + 3. Solve -x*f**2 + 0*f**2 + 10 - 6*f + 2 - 16 = 0.
-2, -1
Let x(c) be the second derivative of -5*c**4/48 - 5*c**3/2 - 45*c**2/2 - 25*c. Find k such that x(k) = 0.
-6
Let b = -32 + 32. Let t(i) be the second derivative of 17/5*i**5 + 8/3*i**4 - 2*i + 1/3*i**7 + b - 1/3*i**3 - 2*i**2 + 26/15*i**6. Find g such that t(g) = 0.
-1, 2/7
Let g = -280 - -842/3. Determine j, given that -4/3 - 2*j - g*j**2 = 0.
-2, -1
Suppose -q + 0*u = 3*u + 15, -q + 5*u + 1 = 0. Let v(g) = -g - 9. Let n be v(q). What is s in -1/3*s**3 + 1/3*s**2 + 0 + n*s = 0?
0, 1
Let c(g) be the third derivative of -g**6/840 + g**5/70 - 3*g**4/56 + 2*g**3/21 + 10*g**2. Factor c(k).
-(k - 4)*(k - 1)**2/7
Suppose 1/4*g**5 - 1/2*g**4 + 0 + 1/4*g**3 + 0*g + 0*g**2 = 0. What is g?
0, 1
Suppose -2*b + 6 = -k, 7*b - 12 = 4*b. Suppose 2*u**2 + u**2 + k - 2*u**2 + 3*u = 0. Calculate u.
-2, -1
Let y(f) be the third derivative of -f**6/280 + f**4/56 - 14*f**2 + 2*f. Factor y(l).
-3*l*(l - 1)*(l + 1)/7
Let z(a) be the third derivative of 1/4*a**6 - a**3 + 0*a - 7/8*a**4 + 4*a**2 - 1/20*a**5 + 0. Factor z(v).
3*(v - 1)*(2*v + 1)*(5*v + 2)
Let o(f) be the third derivative of -1/30*f**5 + 3*f**2 + 0*f**3 + 0*f - 1/12*f**4 + 0. Factor o(n).
-2*n*(n + 1)
Let j(g) be the t