l**2 + 0*l**5 + 1/60*l**4 + 0 + 2*l - 1/150*l**6. Determine m so that x(m) = 0.
-1, 0, 1
Let u(d) be the third derivative of d**7/2268 + d**6/1080 - d**5/270 - d**4/6 + 3*d**2. Let p(l) be the second derivative of u(l). Solve p(g) = 0 for g.
-1, 2/5
Suppose 0 = 8*f - 10*f - 8*f. Let s(z) be the third derivative of 0 - 2*z**2 + 1/48*z**4 + f*z - 1/6*z**3 + 1/120*z**5. Determine v, given that s(v) = 0.
-2, 1
Let n(u) = 9 - u + u - 3 + 3*u. Let b be n(6). Factor -15*h**4 + b*h**3 + 5*h**2 + h**4 + 3*h**2.
-2*h**2*(h - 2)*(7*h + 2)
Let w(s) be the second derivative of s**7/6300 + s**6/450 + s**5/75 + s**4/12 + 3*s. Let t(n) be the third derivative of w(n). Suppose t(f) = 0. Calculate f.
-2
Let j(s) be the first derivative of 1/4*s**4 - 4 + 0*s + 1/2*s**2 - 3/10*s**5 + 7/6*s**3. Factor j(x).
-x*(x - 2)*(x + 1)*(3*x + 1)/2
Suppose -4*j + 88 = 2*n + 10, 3*j - 5*n - 52 = 0. Suppose 5*x - j = 1. What is z in -4 + x - z**2 - 2*z**3 + z = 0?
-1, 0, 1/2
Let b(u) be the third derivative of -1/60*u**5 + 0 + 0*u + u**2 + 2/3*u**3 - 1/120*u**6 + 1/6*u**4. Solve b(l) = 0 for l.
-2, -1, 2
Factor -2/9*v**5 + 0*v**2 + 4/9*v**4 + 0*v + 0 - 2/9*v**3.
-2*v**3*(v - 1)**2/9
Suppose -4/21 + 50/21*b**3 + 6/7*b**4 + 2*b**2 + 2/7*b = 0. What is b?
-1, 2/9
Suppose 3*s = -3 + 12. Suppose 8*c**2 - s*c + 5*c + 4*c + c**2 - 3*c**4 = 0. Calculate c.
-1, 0, 2
Suppose -3*m**2 - 3/7*m**4 + 0 + 15/7*m**3 + 9/7*m = 0. What is m?
0, 1, 3
Let a(c) = -c - 1. Let d be a(2). Let h(l) = 2*l**2 - 2*l - 3. Let g(m) = m**2 - m - 2. Let j(w) = d*g(w) + 2*h(w). Factor j(b).
b*(b - 1)
Find r, given that -216/5*r - 432/5 - 2/5*r**3 - 36/5*r**2 = 0.
-6
Let v be (-2)/(-4) + (2 - 2). Let p(l) = -13*l + 2. Let m be p(0). Factor -v - g - 1/2*g**m.
-(g + 1)**2/2
Let l(b) be the first derivative of -1/8*b**4 - 1/4*b**2 + 1/3*b**3 + 1 + 0*b. Factor l(q).
-q*(q - 1)**2/2
Let n = -4 + 5. Let p = n + 1. Factor 0 + 2/7*j**3 + 2/7*j - 4/7*j**p.
2*j*(j - 1)**2/7
Let q(j) = -j**2 + j - 1. Let x(i) = -10*i**2 + 7*i - 6. Let h(l) = 36*q(l) - 4*x(l). Factor h(f).
4*(f - 1)*(f + 3)
Let d(w) be the first derivative of w**3 - 15*w**2/2 + 12*w + 43. Factor d(q).
3*(q - 4)*(q - 1)
Let r(g) be the first derivative of 3*g**4/4 - 3*g**2/2 + 9. Let r(y) = 0. What is y?
-1, 0, 1
Let s(o) be the second derivative of o**8/3360 + o**7/1260 - o**6/72 + o**5/20 + o**4/4 - 7*o. Let x(y) be the third derivative of s(y). Factor x(v).
2*(v - 1)**2*(v + 3)
Suppose -19 = -5*b + 1. Let s(f) be the third derivative of -2*f**2 + 0*f**3 + 0*f + 1/150*f**5 + 0 - 1/60*f**b. Factor s(q).
2*q*(q - 1)/5
Let y be (0*2/8)/2. Let j(x) be the third derivative of 1/42*x**4 + x**2 + 0*x + y*x**3 + 1/70*x**5 + 0. Factor j(b).
2*b*(3*b + 2)/7
Let h be (-11)/1452*6*-6*2. Determine x, given that 8/11 - 10/11*x**3 + 24/11*x + h*x**2 = 0.
-1, -2/5, 2
Solve -4*u**3 + u**5 - 9 - u**4 - u**3 - 3*u**2 + 9 = 0 for u.
-1, 0, 3
Factor 0*h**2 + 3/5*h**5 + 0 + 0*h - 3/5*h**3 + 0*h**4.
3*h**3*(h - 1)*(h + 1)/5
Suppose 0 = -3*z - z. Factor z*y + 0 + 2/9*y**2.
2*y**2/9
Suppose 5*o - 18 + 3 = 0. Factor -22 - b**2 + 8 + o*b + 12.
-(b - 2)*(b - 1)
Factor 13*h**3 - 15*h**3 - 3*h**2 + h**2.
-2*h**2*(h + 1)
Suppose -5*y = -4*x + 25, -3*y - 6 = 4*x + 9. Let x*u - 3*u + 2*u**2 - 2*u**2 + 3*u**3 = 0. Calculate u.
-1, 0, 1
Let o(q) = q**2 + 7*q + 4. Let g be o(-7). Factor -6/11*j - 4/11 + 6/11*j**g + 14/11*j**3 + 6/11*j**2.
2*(j + 1)**3*(3*j - 2)/11
Let i(u) = 5*u**2 - 6*u + 4. Let x(k) = -4*k**2 + 6*k - 5. Let v be 4/(2 + -1 + 0). Let g(s) = v*x(s) + 5*i(s). Solve g(n) = 0.
0, 2/3
Let j(q) be the third derivative of -q**5/120 + q**4/16 + 17*q**2. Factor j(h).
-h*(h - 3)/2
Let p be 8/2 + ((-50)/20 - 1). Let z be -2*((-5)/4)/5. Factor z*f**2 + 0 + p*f.
f*(f + 1)/2
Let v = 962/5 + -192. Factor 2/5*t**3 - 6/5*t**2 - v*t + 6/5.
2*(t - 3)*(t - 1)*(t + 1)/5
Let u(b) be the second derivative of -b**8/23520 + b**7/8820 + b**6/2520 - b**5/420 + b**4/2 + 4*b. Let h(g) be the third derivative of u(g). Factor h(q).
-2*(q - 1)**2*(q + 1)/7
Let x(w) be the first derivative of 10*w**3/3 - 9*w**2 - 4*w + 5. Factor x(a).
2*(a - 2)*(5*a + 1)
Let r be (-1)/4 + (4 - (-15)/(-4)). Factor 0*a + r - a**4 + 8/3*a**3 - 4/3*a**2.
-a**2*(a - 2)*(3*a - 2)/3
Let p = -83 + 85. Let s(k) be the first derivative of 2/9*k**p - 2 - 2/9*k - 2/27*k**3. Factor s(x).
-2*(x - 1)**2/9
Suppose -12 = -v - 2*v. Factor -7 - q**v + 3*q**3 + q + 12 - 5 - 3*q**2.
-q*(q - 1)**3
Suppose 5*c - 11 - 9 = 0. Suppose c*w + 4*t = 20 + 8, 5*w + 15 = 5*t. Factor b**2 + 1 - b**2 - 2*b + b**w.
(b - 1)**2
Let q = 0 - -3. Suppose q*c = 6*c - 6. Solve -1/4*g**c - 1/4*g + 0 = 0.
-1, 0
Suppose -2*m + s = 4*s - 19, -s + 1 = -2*m. Factor 26/7*w**3 + 2*w**4 + 24/7*w**m + 2/7 + 11/7*w + 3/7*w**5.
(w + 1)**4*(3*w + 2)/7
Let j = 10 - 10. Let g(m) be the first derivative of -1/12*m**3 + 1 - 1/8*m**2 + j*m. Let g(w) = 0. What is w?
-1, 0
Let x = 2 - 6. Let y(h) = h**2 + 4*h + 2. Let i be y(x). Factor g**2 - 4*g**2 + 3*g**i - 2*g + 2*g**3.
2*g*(g - 1)*(g + 1)
Let g(t) be the second derivative of -5*t**7/6 - 5*t**6 - 25*t**5/2 - 50*t**4/3 - 25*t**3/2 - 5*t**2 + 4*t. Solve g(u) = 0.
-1, -2/7
Let d(g) = -g**3 - 5*g**2 - 4*g. Let f be d(-4). Let j be 0 + f/(-1 + -2). Factor 1/3*y**3 + 0 + j*y + 1/3*y**2.
y**2*(y + 1)/3
Let c(r) = 12*r**4 - 24*r**3 + 3*r**2 + 3. Let a(d) = -25*d**4 + 47*d**3 - 7*d**2 - 5. Let g(f) = 3*a(f) + 5*c(f). What is z in g(z) = 0?
0, 2/5, 1
Let v(l) = -6*l**2 + 31*l + 4. Let b(k) = -k**2 + 6*k + 1. Let r(z) = 22*b(z) - 4*v(z). Determine a so that r(a) = 0.
-3, -1
Let v(d) be the third derivative of -1/6*d**3 - 1/360*d**6 - 1/24*d**4 - 1/60*d**5 + 0*d - d**2 + 0. Let q(a) be the first derivative of v(a). Factor q(m).
-(m + 1)**2
Let n(u) = u**3 - 7*u**2 - u - 9. Let t be n(7). Let f = -31/2 - t. Factor -w + 0 - f*w**2.
-w*(w + 2)/2
Factor 0*m + 1/3*m**3 - 1/3*m**5 - 1/3*m**4 + 0 + 1/3*m**2.
-m**2*(m - 1)*(m + 1)**2/3
Let z be (-8)/(-6) - 28/(-42). Factor -3*n**2 - n**z - 2*n**4 + 2*n**4 + 4*n**4.
4*n**2*(n - 1)*(n + 1)
Suppose 4 = -12*t + 14*t. Suppose -4*a = 4*x - 8*a, t*a - 6 = 0. Factor -3/4*z**x + 9/4*z - 3/2 + 0*z**2.
-3*(z - 1)**2*(z + 2)/4
Factor -11*g - 4*g**3 - g**3 + 16*g.
-5*g*(g - 1)*(g + 1)
Let q be (98/(-21))/((-4)/(-6)). Let w be (-7)/(q/2) + 1. Find h, given that -1/2 + 1/2*h - 1/2*h**w + 1/2*h**2 = 0.
-1, 1
Let g be (3/9)/(2/30). Let i = -3 + g. Factor 2*r**3 + r**2 + 1 - r**3 - r - 4*r**i + 2*r**2.
(r - 1)**2*(r + 1)
Let x(n) be the second derivative of -n**4/66 - 2*n**3/33 - 35*n. Factor x(r).
-2*r*(r + 2)/11
Let -8/5*a + 6/5*a**2 - 8/5 = 0. What is a?
-2/3, 2
Let t(x) be the first derivative of -x**4/12 + x**3/3 - x**2/2 + 2*x - 1. Let b(g) be the first derivative of t(g). Let b(v) = 0. Calculate v.
1
Let r be (1*(-2)/4)/(63/(-144)). Let u be (10/(-14) - 1) + 2. Let -6/7*s - u + r*s**2 = 0. What is s?
-1/4, 1
Suppose -f = 1, -2*k = -0*k + f + 1. Let x(o) be the second derivative of 1/30*o**4 - 1/5*o**2 + 1/15*o**3 - 1/50*o**5 + k + 2*o. Find m such that x(m) = 0.
-1, 1
Let y(h) = 11*h**2 + 4*h + 3. Let b(g) = -11*g**2 - 3*g - 4. Let v(p) = -5*b(p) - 6*y(p). Let v(a) = 0. What is a?
-1, 2/11
Factor 9/8*w - 3/8*w**2 - 3/4.
-3*(w - 2)*(w - 1)/8
Suppose 5*b + 268 = b. Let q = -199/3 - b. Factor -4/3*t**4 + 0*t + t**5 + q*t**2 - 1/3*t**3 + 0.
t**2*(t - 1)**2*(3*t + 2)/3
Let c(f) = f**4 - f**3 + f + 1. Let t(q) = 2*q**4 - 5*q**3 + 4*q**2 + q + 1. Let s(a) = -2*c(a) + 2*t(a). Factor s(w).
2*w**2*(w - 2)**2
Let j = 45/182 - -1/26. Solve 2/7*x**4 - 2/7*x**2 + j*x**3 + 0*x - 2/7*x**5 + 0 = 0 for x.
-1, 0, 1
Let p = -30/13 - -163/65. Factor 0 - p*l**2 + 2/5*l**3 + 0*l - 1/5*l**4.
-l**2*(l - 1)**2/5
Factor -2/13*f**3 - 4/13*f**2 + 4/13 + 2/13*f.
-2*(f - 1)*(f + 1)*(f + 2)/13
Let c(v) = -v**3 + 8*v**2 - 3*v + 4. Let n be c(7). Let b = n - 63/2. Find r such that 7/4*r**3 - b + 1/2*r**2 - 7/4*r = 0.
-1, -2/7, 1
Factor -2/3*v + 0*v**2 + 0 + 2/3*v**3.
2*v*(v - 1)*(v + 1)/3
Suppose -2*i + 5*i = c + 35, 3*c = 2*i - 21. Let f(n) = n**3 - 13*n**2 + 11*n + 15. Let z be f(i). Factor -7/3*o**2 + 8/3*o**z - o**4 + 2/3*o + 0.
-o*(o - 1)**2*(3*o - 2)/3
Let h(c) = c**3 + c**2 - c. Let q(p) = 14*p**4 - 60*p**3 + 40*p**2 - 12*p + 4. Let i(w) = 28*h(w) + 2*q(w). Let i(r) = 0. What is r?
2/7, 1
Let h(k) = k**2 + k. Let x(f) = -3*f**2 - 3