 -5*m**2 - 2*m**5 - m + 3*m**5 + 2*m**h + 3*m**2.
m*(m - 1)*(m + 1)**3
Let j(r) be the second derivative of r**4/12 - 4*r**3/3 - r. Let g be j(8). Factor -2/7*b**2 + g + 2/7*b.
-2*b*(b - 1)/7
Factor 7 + 1 - 12*j + 189*j**2 - 185*j**2.
4*(j - 2)*(j - 1)
Let q(u) be the third derivative of u**5/20 - 2*u**3 + 8*u**2. Determine x, given that q(x) = 0.
-2, 2
Factor -2*f + 8/3*f**2 + 0 - 2/3*f**3.
-2*f*(f - 3)*(f - 1)/3
Let u(o) = -o - 7. Let k be u(-7). Suppose k = -5*l + 2*n + 6, 2*l + 2 + 7 = -3*n. Let -3*j**3 + j + j**4 + l*j**2 + 2*j**3 - j**2 = 0. What is j?
-1, 0, 1
Find n, given that -2 + 5*n - 1/4*n**4 - 9/2*n**2 + 7/4*n**3 = 0.
1, 2
Let g(i) be the first derivative of -i**4/4 - 7*i**3/3 - 4*i**2 - 5*i + 1. Let q be g(-6). Find f, given that 12*f**2 + 2*f + 3 + 6*f + q*f + 0 = 0.
-1, -1/4
Suppose -3 = -2*s + 3. Let v = 4 - 1. What is m in 0*m**3 - m**2 + s*m**2 + 2*m**v = 0?
-1, 0
Let b be ((-2)/8 + 0)/(40/(-800)). Let h(d) be the third derivative of -7/600*d**6 + 0 + 4/75*d**b + 0*d + 3*d**2 - 11/120*d**4 + 1/15*d**3. Factor h(t).
-(t - 1)**2*(7*t - 2)/5
Let w(d) be the third derivative of d**11/665280 - d**10/604800 - d**9/241920 - d**5/15 + 6*d**2. Let t(r) be the third derivative of w(r). Factor t(x).
x**3*(x - 1)*(2*x + 1)/4
Let f(a) be the second derivative of a**5/5 - a**4/3 - 2*a**3/3 + 2*a**2 + 8*a. Let f(o) = 0. What is o?
-1, 1
Suppose -3*v = -6, 3*z = -0*z + v + 10. Suppose -2*t**2 + 10*t**z + 4*t**3 - 2*t**5 + 0*t**3 - 8*t**4 - 2*t**3 = 0. What is t?
-1, 0, 1
Let w(f) = f**3 - 2*f**2 + f. Let m be w(1). Let u = -15 + 17. Factor m + 2/7*r**u + 2/7*r.
2*r*(r + 1)/7
Let j = -8 - -12. Let 5*t - 2*t + j*t**3 - 2*t - 5*t**2 = 0. Calculate t.
0, 1/4, 1
Let t = -7 - -13. Let i(b) = -130*b**3 - 525*b**2 - 281*b - 53. Let d(j) = -43*j**3 - 175*j**2 - 94*j - 18. Let l(w) = t*i(w) - 17*d(w). Solve l(a) = 0.
-3, -2/7
Let o(t) = -4*t**5 - 4*t**4 - 8*t**3 - 2*t**2 + 2*t - 2. Let n(x) = x**5 - x**4 + x**3 - x + 1. Let p(w) = 2*n(w) + o(w). Factor p(z).
-2*z**2*(z + 1)**3
Factor 0*u + 3/4*u**2 + 0.
3*u**2/4
Factor -64/5 - 4/5*q**2 - 32/5*q.
-4*(q + 4)**2/5
Suppose 2*d - 3*f - f = 8, -f = -2*d + 5. Let w(u) be the second derivative of -4*u + 0 - 1/18*u**4 + 1/3*u**d + 0*u**3. Solve w(g) = 0.
-1, 1
Let q(b) be the second derivative of -b**7/420 - b**6/60 - b**5/30 + b**3/2 - 3*b. Let g(f) be the second derivative of q(f). Factor g(d).
-2*d*(d + 1)*(d + 2)
Let x(b) = -b + 1. Let w(n) = -8*n + 7. Let p(s) = w(s) - 6*x(s). Let t be p(-1). Factor -2*m**4 + 3 - 4 - 4*m + 4 - 1 + 4*m**t.
-2*(m - 1)**3*(m + 1)
Determine c, given that -12*c - 18 + 32 + 4*c**2 - 6 = 0.
1, 2
Let t(k) = k**3 + 5*k**2 + 3*k - 6. Let y be t(-5). Let j(d) = 15*d**3 + 15*d**2. Let i(g) = 3*g**3 + 3*g**2. Let s(v) = y*i(v) + 4*j(v). Solve s(m) = 0.
-1, 0
Suppose 8 = -8*k + 4*k. Let l be 1 + 1 - (-2 - k). Factor 4*o**l - 2 + 1 - 3*o**2.
(o - 1)*(o + 1)
Let 5*u**4 - 17*u**3 + u**3 - 12*u**2 + 16*u - 9*u**4 + 16 = 0. Calculate u.
-2, -1, 1
Suppose -5*n + 1 = -14, 0 = 5*y - n - 12. What is z in z - 2*z**2 + 5*z**y - 4*z**3 - z + z = 0?
0, 1
Let u(n) be the first derivative of n**4/12 + n**3/3 - 3*n**2/2 + 5*n/3 + 20. Factor u(q).
(q - 1)**2*(q + 5)/3
Let d(i) be the third derivative of -i**6/24 - 4*i**5/5 - 25*i**4/24 + 3*i**3 + 16*i**2. Factor d(f).
-(f + 1)*(f + 9)*(5*f - 2)
Suppose 4*u + 2*y = 5*y - 4, 4*y = -4*u + 24. Factor -4 + 4*v + 4 - 4*v**3 - u + 2*v**4.
2*(v - 1)**3*(v + 1)
Let s = 12 + -8. Suppose 4*j - 5 + 1 = 4*z, j + 5 = s*z. Factor l**z + 16 - 16.
l**2
Determine j so that 0*j + 2/3*j**2 - 2/3*j**4 + 0 + 0*j**3 = 0.
-1, 0, 1
Let a(h) be the third derivative of h**5/15 + h**4/3 - 2*h**3 + 9*h**2. Factor a(p).
4*(p - 1)*(p + 3)
Suppose 1/2*x**2 + 0 - 1/2*x**4 - 1/2*x**3 + 1/2*x = 0. What is x?
-1, 0, 1
Determine x, given that -450 + x**3 + 4*x**3 + 450 - 10*x**2 + 5*x = 0.
0, 1
Let s be ((2 - 0) + 0)*20/32. Let w(g) be the first derivative of -2 - 4*g**3 + 9/2*g**2 - 2*g + s*g**4. What is i in w(i) = 0?
2/5, 1
Let q = 301/12 + -25. Let z(p) be the second derivative of q*p**3 + 0 - p + 0*p**2 - 1/24*p**4. Factor z(g).
-g*(g - 1)/2
Let g(l) be the second derivative of -5*l**7/231 + 6*l**6/55 - l**5/5 + 4*l**4/33 + l**3/11 - 2*l**2/11 - l. Factor g(o).
-2*(o - 1)**4*(5*o + 2)/11
Let d(m) be the third derivative of m**9/1680 - m**8/448 + m**7/360 - m**6/720 + m**4/6 + 5*m**2. Let x(r) be the second derivative of d(r). Factor x(q).
q*(q - 1)*(3*q - 1)**2
Let r(t) be the second derivative of t**5/150 - t**3/15 + t**2/2 - 5*t. Let a(s) be the first derivative of r(s). Factor a(d).
2*(d - 1)*(d + 1)/5
Let s(a) be the second derivative of -a**4/36 - a**3/18 + a**2/3 - 7*a. Factor s(z).
-(z - 1)*(z + 2)/3
Let p(c) = -20*c**4 - 43*c**3 - 21*c**2 - 5*c. Let g(m) = -10*m**4 - 22*m**3 - 10*m**2 - 2*m. Let n(a) = 5*g(a) - 2*p(a). Solve n(z) = 0.
-2, -2/5, 0
Let b = -8148/383 - 8090869/4213. Let l = b + 1943. Determine i so that 0 - 10/11*i**3 - l*i**2 - 4/11*i = 0.
-1, -2/5, 0
Let g(l) be the third derivative of -3*l**8/392 + 13*l**6/105 + 37*l**5/105 + 37*l**4/84 + 2*l**3/7 - 2*l**2. Let g(d) = 0. What is d?
-1, -2/3, -1/3, 3
Let z(h) be the first derivative of h**3/5 + 3*h**2/10 + 7. Factor z(w).
3*w*(w + 1)/5
Suppose -4*a + 16 = 8. Let j be (-3)/(6/(-4))*2. Factor -1/3*o**j + 0 + 1/3*o**a + 1/3*o**3 - 1/3*o.
-o*(o - 1)**2*(o + 1)/3
Factor -8*u**2 + 19*u**3 - 3*u + 7*u - 15*u**3.
4*u*(u - 1)**2
Let z(v) be the second derivative of -3*v**7/70 + v**6/10 - 3*v**5/50 + 7*v. Find f, given that z(f) = 0.
0, 2/3, 1
Let a(r) be the second derivative of 2*r**6/15 - 13*r**5/15 + 11*r**4/6 - 4*r**3/3 + 2*r**2 + 6*r. Let k(y) be the first derivative of a(y). Factor k(o).
4*(o - 2)*(o - 1)*(4*o - 1)
Let t(a) = 4*a**2 + 12*a - 5. Let o(v) = 2*v**2 + 6*v - 2. Suppose -4*d = -0*d. Suppose d = -4*w - 12 - 40. Let y(x) = w*o(x) + 6*t(x). Let y(q) = 0. What is q?
-2, -1
Let n(m) be the second derivative of -m**6/60 + m**5/15 + m**4/12 - 2*m**3/3 + m**2 - m. Let z(g) be the first derivative of n(g). Factor z(o).
-2*(o - 2)*(o - 1)*(o + 1)
Let v be 8/(-18) + (-2)/(-3). Let t(u) be the first derivative of -v*u**2 - 1/18*u**4 - 2 + 0*u + 2/9*u**3. Factor t(g).
-2*g*(g - 2)*(g - 1)/9
Solve -593*i - 28 + 621*i + 2 - 2*i**2 = 0.
1, 13
Suppose 0 = 3*z + 2*z - 10. Factor -3*h + 4*h - 2*h**2 + 2*h**4 + h - z*h**3.
2*h*(h - 1)**2*(h + 1)
Let z(f) be the first derivative of f**5/5 - f**4/2 + f**2 - f - 2. Factor z(s).
(s - 1)**3*(s + 1)
Suppose 8*a + 3*a + 5*a = 0. Factor -2/7*w - 2/7*w**2 + a.
-2*w*(w + 1)/7
Let i be (-52)/(-39) - 947/15. Let o = 62 + i. Factor -2/5 - o*w + 1/5*w**2.
(w - 2)*(w + 1)/5
Find n, given that 2*n**2 - 2*n**4 + 18*n**3 - 6*n**2 - 6*n**4 = 0.
0, 1/4, 2
Let v(l) be the first derivative of 2*l**5/45 + l**4/6 + 2*l**3/9 + l**2/9 + 3. Factor v(g).
2*g*(g + 1)**3/9
Let c = -3 - -7. Factor 0*n**c - 2*n**5 - 2*n**4 + 2*n**3 - 2*n**2 + 4*n**4.
-2*n**2*(n - 1)**2*(n + 1)
Let c(j) be the third derivative of -j**8/168 + j**6/60 - 29*j**2. Determine x so that c(x) = 0.
-1, 0, 1
Let l(g) be the first derivative of 0*g + 0*g**5 - 2/21*g**6 + 0*g**2 + 3/7*g**4 + 4 - 8/21*g**3. Factor l(x).
-4*x**2*(x - 1)**2*(x + 2)/7
Find n such that 2/11*n**4 - 6/11*n**2 + 0*n**3 + 0 - 4/11*n = 0.
-1, 0, 2
Let z = 3 + -5. Let u(t) = 2*t. Let r(l) = l**2 - l - 1. Let n(f) = z*r(f) - u(f). What is v in n(v) = 0?
-1, 1
Let p = -12 - -14. Suppose -2*g**3 - 7*g + g**3 + 9*g + 2*g**p - 3*g**2 = 0. What is g?
-2, 0, 1
Let y be (-4)/(-20) - 9/(-30). Let h(l) be the first derivative of -4/9*l**3 + 2 - 7/9*l**6 + 8/5*l**5 + 0*l + 0*l**2 - y*l**4. Suppose h(o) = 0. What is o?
-2/7, 0, 1
Let p(v) be the first derivative of 4*v**6/21 - 6*v**5/35 - v**4/14 - 38. Find o such that p(o) = 0.
-1/4, 0, 1
Let s(l) = l**3 + 2*l**2 - 4*l. Let a be s(-3). Suppose -2*j + a*n - 2 - 7 = 0, -j - n = -3. Factor j*y + 6/5*y**4 - 2/5*y**2 + 0 - 4/5*y**3.
2*y**2*(y - 1)*(3*y + 1)/5
Let c(a) = 10*a**3 + 9*a**2 - 7*a - 7. Let r(l) = 5*l**3 + 4*l**2 - 3*l - 3. Let k(b) = -3*c(b) + 7*r(b). Factor k(x).
x**2*(5*x + 1)
Let x(z) be the second derivative of -z**5/180 + z**4/54 - z**3/54 - 21*z. Let x(j) = 0. What is j?
0, 1
Factor 2*a**2 - 13 + 12*a + 7*a**2 + 6*a**2 + 10.
3*(a + 1)*(5*a - 1)
Let w(r) be the second derivative of 0*r**2 + 1/75*r**6 +