g).
g**2*(5*g - 2)
Let p = 0 - -4. Factor -21*q**3 - 7 + 7 - 20*q**2 - 4*q + 25*q**5 + 20*q**p.
q*(q - 1)*(q + 1)*(5*q + 2)**2
Let r be (-1)/((-9)/12)*6. Let x be ((-27)/12)/((-12)/r). What is v in x*v + 3/2*v**3 + 0 - 3*v**2 = 0?
0, 1
Let n be 6/(-9)*-3 - 0. What is m in 0*m + 4*m - m**3 - 3*m - 4 + m**n + 3 = 0?
-1, 1
Let y be (2/21)/(6/70). Suppose 4/9*s**4 + y*s**3 + 4/9*s**2 + 0 + 0*s = 0. Calculate s.
-2, -1/2, 0
Factor 0*o - 1/6*o**3 - 1/6*o**2 + 0.
-o**2*(o + 1)/6
Let h be (-9)/(-2)*6/36. Factor -3/4*w**4 + 0*w + h*w**3 + 1/4*w**5 + 0 - 1/4*w**2.
w**2*(w - 1)**3/4
Let x = 1/2 - 1/4. Factor x*b**2 - 1/2*b + 1/4.
(b - 1)**2/4
Suppose 4*h = -h + 9*h. Let d(g) be the first derivative of -2 + 0*g**2 + h*g**3 + 0*g + 1/14*g**4. Let d(k) = 0. Calculate k.
0
Let t(r) be the first derivative of -r**4/4 + 3*r**3 + 5*r - 3. Let j(z) = -2*z**3 + 14*z**2 + 8. Let k(l) = 5*j(l) - 8*t(l). Factor k(w).
-2*w**2*(w + 1)
Let h be (-2)/(7 + 65) + (-3)/(-12). Solve 4/9*w**4 + 0 + h*w**3 + 0*w**2 + 0*w + 2/9*w**5 = 0.
-1, 0
Solve -1/4*m**3 - 1/2 + 3/4*m + 0*m**2 = 0.
-2, 1
Let g(x) be the third derivative of -x**6/540 - x**5/135 - x**4/108 - 7*x**2. Factor g(h).
-2*h*(h + 1)**2/9
Let h(k) be the third derivative of 0*k**3 + 1/80*k**5 + 0*k + 1/32*k**4 - 3*k**2 + 0. What is f in h(f) = 0?
-1, 0
Suppose -10 = -5*u + 5. Determine q so that 7*q - u*q + 3*q**2 - 4*q = 0.
0
Suppose 29*o + 0*o**2 + 40*o**2 + 4*o**5 - 12*o**4 + 55*o + 36 - 24*o**3 = 0. What is o?
-1, 3
Let k(v) be the first derivative of 0*v**3 - 2 - 1/3*v**6 - v**2 + v**4 + 0*v + 0*v**5. Let k(f) = 0. What is f?
-1, 0, 1
Let g be (-3 - -3) + (-20)/(-2). Let -70*n**2 + 2 - 4 - 2*n + g - 6*n = 0. Calculate n.
-2/5, 2/7
Suppose -5*t - 6 = -6. Factor -4/11*a**2 - 2/11*a**5 + 0*a**3 + 2/11*a + 4/11*a**4 + t.
-2*a*(a - 1)**3*(a + 1)/11
Let a(s) be the first derivative of s**9/2016 - s**7/280 + s**5/80 - 4*s**3/3 + 8. Let v(l) be the third derivative of a(l). Find m, given that v(m) = 0.
-1, 0, 1
Factor -8/3*g**2 + 4/3*g**4 + 4/3*g**5 - 8/3*g**3 + 4/3 + 4/3*g.
4*(g - 1)**2*(g + 1)**3/3
Let f be (6/4)/((-6)/(-20)). Let j = 86293/7044 - 1/1761. Suppose 1 + 17/4*x**2 - 73/4*x**3 - 21/4*x**4 + 6*x + j*x**f = 0. What is x?
-1, -2/7, 1
Let h(k) = 2*k + 14. Let u be h(-6). Let s(q) be the second derivative of 1/12*q**4 + 4*q + 0*q**u + 0 + 0*q**3. Factor s(r).
r**2
Suppose -1/4*w**3 - 1/2*w**2 + 0 - 1/4*w = 0. Calculate w.
-1, 0
Suppose 2*c - 3 = 3. Let a(v) be the second derivative of -1/60*v**5 + 0*v**2 - 1/18*v**4 - 1/18*v**c + 0 - v. Determine p, given that a(p) = 0.
-1, 0
Let t be ((2 - 1)/(-8))/(1/(-2)). Let z(q) = q + 9. Let h be z(-6). Factor 0*l**2 + 0*l + t*l**h + 0.
l**3/4
Let z(a) be the first derivative of 1/7*a**4 + 3 - 1/21*a**6 - 1/7*a**2 + 0*a**3 + 0*a**5 + 0*a. Let z(n) = 0. What is n?
-1, 0, 1
Factor 20*t**5 - 95*t**2 + 183*t**3 - 28*t**3 + 11 + 5*t - 95*t**4 - 1.
5*(t - 2)*(t - 1)**3*(4*t + 1)
Factor -15/2*t**2 - 6 + 12*t + 3/2*t**3.
3*(t - 2)**2*(t - 1)/2
Let b = -102191/30 - -3407. Let n = -2/15 + b. Factor 1/2*a + 1/2 - n*a**3 - 1/2*a**2.
-(a - 1)*(a + 1)**2/2
Factor 16/3*f + 44/9*f**2 + 16/9*f**3 + 2/9*f**4 + 2.
2*(f + 1)**2*(f + 3)**2/9
Let c(f) be the third derivative of f**5/15 + f**4/2 + 4*f**3/3 - 5*f**2. Factor c(l).
4*(l + 1)*(l + 2)
Let h = 36 + -34. Let a(z) be the first derivative of 0*z + 2 - 1/2*z**h - 1/16*z**4 - 1/3*z**3. Find w, given that a(w) = 0.
-2, 0
Factor -16/11*u - 2/11*u**2 - 32/11.
-2*(u + 4)**2/11
Let i be (18/15)/(-2*9/(-20)). Let b(r) be the first derivative of -2/3*r**2 - 2 - i*r - 1/9*r**3. Factor b(d).
-(d + 2)**2/3
Let 144/5 + 24*p + 12/5*p**2 - 6/5*p**3 = 0. Calculate p.
-2, 6
Suppose -2*k**4 - 6*k**2 + 3*k + 4*k**4 - 4*k**4 + 6*k**3 - k = 0. Calculate k.
0, 1
Let v(b) be the second derivative of b**5/5 - 4*b**4/3 + 8*b**3/3 + 6*b. Let v(n) = 0. Calculate n.
0, 2
Let b(w) be the first derivative of -3 - 1/2*w**4 - 4/3*w**3 + 3*w + 1/5*w**5 + w**2. Factor b(k).
(k - 3)*(k - 1)*(k + 1)**2
Let x = 478/117 - -106985/819. Let l = 135 - x. Factor 4/7*c - l*c**2 - 2/7.
-2*(c - 1)**2/7
Let d = 1004 - 1001. Factor 0*n - 4/7*n**2 + 0 - 2*n**d.
-2*n**2*(7*n + 2)/7
Let f(l) be the first derivative of -3*l**5/5 - 3*l**4/4 + 8. Suppose f(s) = 0. Calculate s.
-1, 0
Let u be (-92)/(-485)*(-75)/(-54). Let f = u - 4/97. What is m in 0*m + 0 + f*m**3 + 2/9*m**2 = 0?
-1, 0
Let b(t) be the second derivative of -1/5*t**5 + 4/3*t**4 + 0*t**2 + 0 + 8/3*t**3 - 2/15*t**6 + 10*t. Solve b(y) = 0.
-2, -1, 0, 2
Let h = 1 + 1. Find t, given that -2*t**h + 0*t**2 + 3*t**2 = 0.
0
Let r(b) be the first derivative of 2*b**5/25 - 2*b**4/5 + 4*b**3/5 - 4*b**2/5 + 2*b/5 + 6. Suppose r(i) = 0. Calculate i.
1
Let s(x) = 2*x - 8. Let b be s(4). Let w(z) be the second derivative of -1/21*z**7 + 2/3*z**4 + b + 2*z - 1/3*z**3 + 4/15*z**6 - 3/5*z**5 + 0*z**2. Factor w(t).
-2*t*(t - 1)**4
Let t(v) be the third derivative of v**6/40 - v**5/5 - 27*v**2. Solve t(s) = 0 for s.
0, 4
Suppose 3*s + 74 - 86 = 0. Let k(m) be the second derivative of s*m + 1/14*m**7 + 1/2*m**3 + 1/10*m**6 - 3/10*m**5 + 3/2*m**2 - 1/2*m**4 + 0. Solve k(w) = 0.
-1, 1
Factor -5*h**2 - 53 - 21*h - 9*h + 8.
-5*(h + 3)**2
Factor 2*n**4 + 4 - 6*n**2 + 2*n**3 + 0*n**3 - 4*n**3 + 2*n.
2*(n - 2)*(n - 1)*(n + 1)**2
Let u(c) = -3*c**3 + 15*c**2 - 12*c + 6. Let z(d) = 3*d**3 - 14*d**2 + 11*d - 5. Let l(x) = 5*u(x) + 6*z(x). Factor l(p).
3*p*(p - 2)*(p - 1)
Let j = 0 + 4. Factor 18*i**j - i**3 + 2*i**3 - 16*i**4 + i**5.
i**3*(i + 1)**2
Factor 1/2*z**3 + z**2 - 4*z + 0.
z*(z - 2)*(z + 4)/2
Determine u, given that -5/4*u**3 - 3/4*u**2 + 5/4*u - 1/4*u**4 + 1 = 0.
-4, -1, 1
Let r be ((-4)/6)/(2/(-6)). Let h(u) = u**2 - 2. Let z be h(r). Determine y, given that -2*y + 2*y - z + 2*y**3 + 2*y**2 - 2*y = 0.
-1, 1
Let k(d) be the third derivative of 1/150*d**5 - 1/300*d**6 + 0*d**4 + 0 + 0*d**3 + 2*d**2 + 0*d. Let k(t) = 0. What is t?
0, 1
Let v be (-19)/(-24) - 9/12. Let j(s) be the third derivative of 0 - v*s**3 + 2*s**2 - 1/240*s**5 - 1/48*s**4 + 0*s. Let j(b) = 0. What is b?
-1
Let s(y) be the second derivative of 1/4*y**2 - 1/8*y**3 + y + 0 + 1/48*y**4. Factor s(c).
(c - 2)*(c - 1)/4
Let l(o) be the second derivative of 1/8*o**5 - 1/12*o**4 + 1/2*o**2 + 0 - 5/12*o**3 + 4*o. Let l(t) = 0. Calculate t.
-1, 2/5, 1
Suppose u + 3*l - 5 = l, 0 = -3*u + 4*l + 25. Determine b, given that 1 + u - 5 - b**3 + 3*b - 5 = 0.
-2, 1
Let r(p) be the third derivative of p**8/504 + p**7/315 - 10*p**2. Suppose r(z) = 0. Calculate z.
-1, 0
Let g be 12/(-30) - 84/(-10). Let w be (-1)/(-22)*32/g. Solve -4/11*m**2 - 2/11*m + 0 - w*m**3 = 0 for m.
-1, 0
Let a = 11/10 + 2/5. Suppose 3*s**2 + 0 - a*s - 3/2*s**3 = 0. Calculate s.
0, 1
Let s be (-4)/(-22) + (-100)/(-55). Factor o - 1 - 4 + 2*o + 3 - o**s.
-(o - 2)*(o - 1)
Let q(r) be the third derivative of r**7/840 - r**6/160 - r**5/120 + r**4/8 - r**3/3 + 2*r**2. Factor q(l).
(l - 2)**2*(l - 1)*(l + 2)/4
Let b(q) = 8*q**5 + 25*q**4 + 41*q**3 + 39*q**2 + 8*q + 7. Let m(t) = -4*t**5 - 13*t**4 - 21*t**3 - 19*t**2 - 4*t - 3. Let k(h) = -3*b(h) - 7*m(h). Factor k(g).
4*g*(g + 1)**4
Let m = -226 + 1131/5. Factor -2/5*u**4 + m*u**5 + 0*u**2 + 1/5*u**3 + 0 + 0*u.
u**3*(u - 1)**2/5
Let x(q) be the first derivative of -q**8/2100 + q**7/1050 + q**6/450 - q**5/150 - q**3 + 3. Let w(t) be the third derivative of x(t). Factor w(f).
-4*f*(f - 1)**2*(f + 1)/5
Let o(c) = -c**3 - 4*c**2 - c + 6. Let h be o(-3). Factor -1/5*r**3 - 1/5*r**2 + 0*r + h.
-r**2*(r + 1)/5
Factor 8/5*w + 2/5*w**4 - 6/5*w**3 + 0 + 0*w**2.
2*w*(w - 2)**2*(w + 1)/5
Let s(o) be the third derivative of o**6/360 + o**5/90 + o**4/72 + 2*o**2. Find f such that s(f) = 0.
-1, 0
Let y(s) be the first derivative of 2/5*s**5 - s - 1/2*s**4 + 5/4*s**2 - 1/3*s**3 - 1/12*s**6 + 4. Determine k, given that y(k) = 0.
-1, 1, 2
Let f = 13 - 7. Let y = 10 - f. Determine h, given that -11/2*h**2 + 2 + 3/2*h**3 + y*h = 0.
-1/3, 2
Let b(i) be the second derivative of -i**6/90 + i**5/15 + i**4/36 - 2*i**3/9 + 13*i. Suppose b(v) = 0. Calculate v.
-1, 0, 1, 4
Let r be (-2262)/2552 - (-5)/4. Factor -10/11*n - 6/11*n**2 + r.
-2*(n + 2)*(3*n - 1)/11
Suppose 5*g + 2*m = -9 - 1, 2*g + 4 = 2*m. Let p be -2*2*g/36. Find l, given that 0 + 2/9*l + p*l**2 = 0.
-1, 0
Let b(w) be the second deriva