tor c(k).
3*k**2*(k + 1)
Let m(a) = -a - a**3 + 2*a - 2*a**2 + 2*a**3. Let h be m(2). Factor -4/9*u + 10/9*u**h + 0.
2*u*(5*u - 2)/9
Find c, given that -2/7*c**2 + 0 + 0*c + 2/7*c**5 + 2/7*c**4 - 2/7*c**3 = 0.
-1, 0, 1
Suppose -2*k**2 + 4/11*k**3 + 18/11 + 24/11*k = 0. What is k?
-1/2, 3
Let r(j) = j**3 + 6*j**2 + 5*j + 7. Let t be r(-5). Suppose 2*d = t*d. Determine u, given that 1/3*u**4 + 0*u + 1/3*u**2 + 2/3*u**3 + d = 0.
-1, 0
Suppose 0 = -4*i + 20, 3*i - 20 - 1 = -3*o. Factor 2/3*k - 1/3 - 1/3*k**o.
-(k - 1)**2/3
Let x be 18/(-2)*(-291)/(-21). Let m = 125 + x. Let -m*u**2 + 0*u + 0 = 0. Calculate u.
0
Let j(f) be the first derivative of f**6/51 + 14*f**5/85 + 9*f**4/17 + 40*f**3/51 + 8*f**2/17 - 6. Factor j(t).
2*t*(t + 1)*(t + 2)**3/17
Let h(z) be the second derivative of z**7/7560 + z**6/2160 - z**4/12 + 2*z. Let t(c) be the third derivative of h(c). Determine s so that t(s) = 0.
-1, 0
Determine x so that -3/2*x - 3/4 - 3/4*x**2 = 0.
-1
Let i(g) = -2*g**3 - 2*g**2 + 7*g + 7. Let a be (16/20)/(1/5). Let s(l) = a - 3 - l + 2*l. Let q(j) = -i(j) + 5*s(j). Factor q(x).
2*(x - 1)*(x + 1)**2
Let y(m) = -28*m**3 + 41*m**2 - 13*m - 5. Let z(f) = -14*f**3 + 20*f**2 - 6*f - 2. Let j(s) = 4*y(s) - 10*z(s). Let j(b) = 0. What is b?
0, 2/7, 1
Let w(x) = -14*x - 1. Let i be w(1). Let b be (-24)/i - (-2)/5. Factor -7/2*r**3 + r + 0 + 5/2*r**b.
-r*(r - 1)*(7*r + 2)/2
Factor 0*c - 1/6*c**2 + 2/3.
-(c - 2)*(c + 2)/6
Let g(v) be the second derivative of v**4/6 - 4*v**3/3 + 4*v**2 - 5*v. Factor g(k).
2*(k - 2)**2
Let l(t) be the third derivative of -t**7/3780 - t**6/1080 + 5*t**4/24 - t**2. Let y(r) be the second derivative of l(r). Factor y(q).
-2*q*(q + 1)/3
Suppose -3 + 19 = 4*q - 2*o, -2*q - o = 0. Suppose -1 = -x + 3. Factor x*z**q - 2*z**2 + 0*z**2.
2*z**2
Factor 2*w**2 + 3*w**2 + 2*w**3 - 3*w**2.
2*w**2*(w + 1)
Let v be (-42)/(-18) - -6*(-5)/15. Solve -v*f**4 + 1/3 - 2/3*f**3 + 0*f**2 + 2/3*f = 0.
-1, 1
Factor 0 + 3/2*b**2 + 6*b.
3*b*(b + 4)/2
Let r(t) be the first derivative of 1/21*t**6 - 3 + 5/7*t**2 - 2/7*t**5 - 2/7*t + 5/7*t**4 - 20/21*t**3. Factor r(l).
2*(l - 1)**5/7
Let r = -1/74 - -227/370. Factor 3/5*u**3 + 0*u + r*u**2 + 0.
3*u**2*(u + 1)/5
Suppose 0 = -3*f + 5*k + 17, 4*k = 9 - 1. Let h be (-1)/3 - (-3)/f. Let -2/7 + h*u**2 + 2/7*u**4 + 4/7*u - 4/7*u**3 = 0. What is u?
-1, 1
Let x(d) be the first derivative of -4/3*d**3 + d**2 + 1/2*d**4 + 1 + 0*d. Let x(y) = 0. Calculate y.
0, 1
Factor -1/6*j**3 + 1/3*j**2 + 1/2*j + 0.
-j*(j - 3)*(j + 1)/6
Let o(g) = -3*g**5 + 3*g**4 + g**3 - 3*g**2 - 2*g. Let n(d) = 12*d**5 - 12*d**4 - 3*d**3 + 12*d**2 + 9*d. Let t(h) = -2*n(h) - 9*o(h). Factor t(q).
3*q**2*(q - 1)**2*(q + 1)
Suppose 4*a - a = -a. Let r(u) be the third derivative of -2*u**2 + 1/240*u**5 + a*u**3 + 0 + 0*u**4 + 0*u. Factor r(y).
y**2/4
Let b(d) be the third derivative of d**7/945 - d**6/270 + 2*d**2. Factor b(m).
2*m**3*(m - 2)/9
Let p be 3*2/60*(1 - -1). Determine c, given that 4/5*c + p + 4/5*c**3 + 6/5*c**2 + 1/5*c**4 = 0.
-1
Suppose -16 = -4*b, 3*a + 4*b - 3*b = 10. Factor -k**4 + 2*k**3 + a*k**4 - k**3.
k**3*(k + 1)
Let -3 - 16*g**2 - 2*g**2 - 3*g**4 + 0*g**4 + 0*g - 12*g**3 - 12*g = 0. What is g?
-1
Let z be (0 + 9)/3 - 3. Let l be ((-15)/(-6))/(-5)*z. Factor -5*y**2 + 3*y**2 + 4*y + l*y**2 + 0*y**2.
-2*y*(y - 2)
Factor 1 + u + 1/4*u**2.
(u + 2)**2/4
Let m = -2 - -16. Let n(b) = 14*b**3 + 6 - m*b - 3*b**2 - 8*b**4 + 2 - 7*b**2. Let o(c) = -c**4 + c**3 - c**2 - c + 1. Let i(y) = -n(y) + 10*o(y). Factor i(t).
-2*(t - 1)*(t + 1)**3
Suppose 0*p + 5*p - 25 = 0. Find g, given that -g**2 + 2*g**2 + 3*g**4 - 4*g**4 - g**p + 2*g**3 - g**3 = 0.
-1, 0, 1
Let u(m) = -2*m - 5. Let n be u(-5). Let d = n + 0. Solve -3*g**d + 5*g**5 - 2*g**5 + 2*g**5 = 0 for g.
0
Let i = 127 - 125. Solve 0 + 1/4*r**i - 1/4*r = 0.
0, 1
Let b(y) be the first derivative of y**7/70 - y**5/20 - 3*y**2 + 1. Let n(l) be the second derivative of b(l). What is d in n(d) = 0?
-1, 0, 1
Let q = 323/2 - 158. Solve q*c**2 - 1/2*c - 9*c**3 + 0 - 4*c**5 + 10*c**4 = 0.
0, 1/2, 1
Let o(s) be the first derivative of -5*s**3/3 - 15*s**2/2 - 7. Let o(u) = 0. Calculate u.
-3, 0
Let f(b) be the first derivative of b**8/1680 - b**7/420 - b**6/120 + b**5/30 + b**4/6 - 7*b**3/3 - 3. Let y(u) be the third derivative of f(u). Factor y(r).
(r - 2)**2*(r + 1)**2
Suppose 21*u - 8 = 17*u. Let f be (-2)/9*(-3 - 0). Suppose u*j**3 + 0*j + 0 + 2/3*j**5 + 2*j**4 + f*j**2 = 0. What is j?
-1, 0
Let b(t) = t - 3. Let f be b(5). Suppose 3*z + 41 - 101 = 0. Find h, given that 7 - z*h**2 - 5 - f*h + 5*h = 0.
-1/4, 2/5
Let j(l) be the second derivative of l**4/36 - l**3/18 - l**2/3 - 24*l. Factor j(c).
(c - 2)*(c + 1)/3
Suppose -49 = n - 6*n - 3*t, 2*t - 6 = 0. Suppose 10 = -3*q + 4*o, 0*q = 2*q + o - n. Find h, given that h**5 + 4*h**4 + h**3 - 3*h**4 - h**2 - q*h**3 = 0.
-1, 0, 1
Factor -8/7*i**4 - 4/7*i + 0*i**3 + 0 + 8/7*i**2 + 4/7*i**5.
4*i*(i - 1)**3*(i + 1)/7
Let s = 53/141 - 2/47. Let o be 4/6 - 2/6. Factor o*k**3 + s*k**2 + 0 + 0*k.
k**2*(k + 1)/3
Let s(h) be the second derivative of 4*h**7/147 - h**6/35 - 4*h**5/35 + h**4/7 + 4*h**3/21 - 3*h**2/7 + 11*h. Find j, given that s(j) = 0.
-1, 3/4, 1
Suppose 0 = 3*r - v - 10, 4*v = 3*r - 0*v - 4. Determine w so that 5*w**3 + 0*w**2 - w + r*w**2 - 8*w**3 + 0*w**2 = 0.
0, 1/3, 1
Let q = -142 - -427/3. Determine r so that 1/3*r**3 + 2/3 + r**4 - 5/3*r**2 - q*r = 0.
-1, 2/3, 1
Let a be 7/((-7)/(-6)) + 4/(-2). Determine r, given that -10/7*r**2 - 16/7*r**3 - 2/7*r + 0 - 8/7*r**a = 0.
-1, -1/2, 0
Let z(y) be the first derivative of -y**8/1344 - y**7/1680 - 4*y**3/3 + 1. Let g(p) be the third derivative of z(p). Let g(b) = 0. Calculate b.
-2/5, 0
Let z(j) = j**3 + 8*j**2 - 4*j. Let p be z(-4). Let h be (-10)/18*(-32)/p. Let -h*q**2 + 0 + 2/9*q = 0. What is q?
0, 1
Let c(n) be the third derivative of -n**6/1080 + n**5/90 - n**4/18 + n**3/2 - 2*n**2. Let z(u) be the first derivative of c(u). Factor z(w).
-(w - 2)**2/3
Let w(d) = d**2 + 2*d - 1. Let v be w(-3). Determine l so that v*l**2 - 2 + 0*l**2 + 0*l**3 + 0*l**3 - 2*l + 2*l**3 = 0.
-1, 1
Suppose 0 = 4*i - 22 + 6. Suppose i*v - 12 + 0 = 0. Factor 11*f**5 + 15*f**4 - 5*f**4 - 3*f**5 + 2*f**v.
2*f**3*(f + 1)*(4*f + 1)
Let d(f) be the third derivative of -f**7/945 + f**5/135 - f**3/27 + 5*f**2. Let d(k) = 0. What is k?
-1, 1
Let o(w) be the second derivative of 5*w**4/18 + 5*w**3/6 - 4*w - 1. Factor o(c).
5*c*(2*c + 3)/3
Determine x so that 743*x**2 - 18*x - 743*x**2 + 2*x**3 = 0.
-3, 0, 3
Let c be (-10 - (-75)/10)/(5/(-3)). Factor 1 + 1/2*y**2 + c*y.
(y + 1)*(y + 2)/2
Let m(i) = 2*i - 4. Let o be m(7). Suppose -8 = -n + 2*r, n + r - o = 4*r. Factor -2*x - 6*x**2 + 3*x + 3 - n*x + 0*x**2.
-3*(x + 1)*(2*x - 1)
Let s = -1115/6 - -186. What is l in -1/3*l - s*l**2 + 1/2 = 0?
-3, 1
Suppose z + 0*a - 2*a - 11 = 0, 0 = -5*z + 5*a + 35. Determine g so that 18/7*g**4 - 22/7*g**z + 0*g + 0 + 4/7*g**2 = 0.
0, 2/9, 1
Let d(p) be the first derivative of 1/3*p**3 - 4 + 3/2*p**2 + 0*p. Factor d(k).
k*(k + 3)
Suppose 5*h - 4*s - 31 = 0, 5*s + 5 = -7*h + 2*h. Let u be (4/12)/((-2)/(-2)). Let -4/3 + j**2 + u*j**4 - 4/3*j + 4/3*j**h = 0. Calculate j.
-2, -1, 1
Let m(f) = 15*f**3. Let v be m(2). Let j be (v/(-21))/(12/(-6)). Solve -20/7*l**3 + 2/7 + 10/7*l**4 - 10/7*l + j*l**2 - 2/7*l**5 = 0 for l.
1
Let f be 9*(-6)/9 - -4. Let z be f/4 - 14/(-4). Find x such that 0 + 2/7*x**z + 0*x**2 - 2/7*x = 0.
-1, 0, 1
Let r(q) be the third derivative of q**6/24 - q**5/6 - 5*q**4/24 + 5*q**3/3 - 3*q**2 + 5. Factor r(y).
5*(y - 2)*(y - 1)*(y + 1)
Let t(c) = c + 1. Let w be t(1). Factor -2*f**2 - f**2 + 2 + f**w + 4*f**2 - 4*f.
2*(f - 1)**2
Let q(o) = -o**5 + 7*o**4 - o**3 + o**2 - 2*o + 4. Let u(p) = p**4 + p**2 - p + 1. Let z(n) = q(n) - 4*u(n). Solve z(j) = 0 for j.
-1, 0, 1, 2
Let l = 274/5 + -268/5. Let i(o) be the first derivative of 12/5*o**2 + l*o**3 + 8/5*o + 2. Factor i(k).
2*(3*k + 2)**2/5
Let l(u) be the second derivative of u**4/4 + 38*u. Factor l(t).
3*t**2
Suppose 0 = 4*n - 1 - 7. Factor 2/9*h + 2/9*h**n + 0.
2*h*(h + 1)/9
Let x(i) be the first derivative of -i**6/540 - i**5/180 + i**3 - 2. Let h(p) be the third derivative of x(p). Factor h(w).
-2*w*(w + 1)/3
Let r be (-1)/(-4) - (-22)/8. Let x - 4*x**5 + 8*x**4 + r*x**5 