. Factor 0*m**5 - 42*m**4 + 40*m**4 - 2*m**g.
-2*m**4*(m + 1)
Let k(c) be the second derivative of c**5/15 - 2*c**4/3 + 2*c**3 + 21*c**2/2 + 13*c. Let p(o) be the first derivative of k(o). Factor p(d).
4*(d - 3)*(d - 1)
Let o(x) be the third derivative of 0*x**3 + 0 - 1/840*x**7 + 1/160*x**6 + 0*x**4 - 12*x**2 + 0*x + 0*x**5. Let o(k) = 0. What is k?
0, 3
Let v(b) = 4*b - 20. Let p be v(5). Solve 80*j + 58 + p*j**3 + 21*j**3 - 38 + 85*j**2 + 4*j**3 = 0 for j.
-2, -1, -2/5
Let i(o) be the second derivative of o**6/30 - o**5/2 + 109*o**4/48 - 27*o**3/8 + 9*o**2/4 + 64*o. Let i(l) = 0. Calculate l.
1/2, 3, 6
Determine v, given that 0*v**3 - 144/5*v + 4/5*v**4 - 68/5*v**2 - 16 = 0.
-2, -1, 5
Let b = 3 + -3. Let h be 46 - 42 - -1*11/(-3). Determine x, given that b*x + 0 - h*x**2 = 0.
0
Let r be (5 + -8)*12/(-18). Let y be 4 + 2*r + -10 + 4. Factor 0 - 2/7*h**y - 8/7*h.
-2*h*(h + 4)/7
Let g be ((-6)/(-4))/(6/8). Suppose 2*c = -3*b + 5 + 3, 4*c - 12 = -4*b. Factor -4*w**2 - b*w**4 - 3*w**3 + w**3 + 6*w**g + 0*w**3 + 2*w.
-2*w*(w - 1)*(w + 1)**2
What is s in 2/5*s**2 + 0 + 18*s = 0?
-45, 0
Let t be 2/6 + ((-99)/(-27) - 4). Let x(a) be the third derivative of -9*a**2 - 5/6*a**4 + 0 - 4/3*a**3 - 1/30*a**6 + t*a - 4/15*a**5. Let x(z) = 0. What is z?
-2, -1
Solve -6*d**3 + 61*d**2 + d**2 - 240*d - 6*d**2 + 13*d**2 + 225 = 0 for d.
3/2, 5
Let w(i) = i**3 - 6*i**2 + 4*i + 5. Let r be w(5). Let c = r + 3. Find v such that 0*v**c - 1/2*v**5 - v**2 + 1/2*v + v**4 + 0 = 0.
-1, 0, 1
Let q(v) be the third derivative of 0*v**3 - 1/210*v**5 + 1/28*v**4 + 0 + 0*v + 13*v**2. Factor q(p).
-2*p*(p - 3)/7
Suppose 0 = m + 4*c + 8, -3*c + 2 - 53 = -3*m. Suppose -m*r = -15*r. Solve 1/2*b**5 + 0*b + 1/2*b**4 + 0*b**2 + r*b**3 + 0 = 0 for b.
-1, 0
Factor -8/5 + 22*x**2 + 24/5*x.
2*(5*x + 2)*(11*x - 2)/5
Let y(a) be the third derivative of -a**8/3528 - 2*a**7/245 - a**6/45 + 4*a**5/35 + 32*a**4/63 + 29*a**2 - 4. Suppose y(w) = 0. What is w?
-16, -2, 0, 2
Let y(i) be the second derivative of -3*i**5/20 - 3*i**4/2 + 48*i**2 + 512*i. Factor y(q).
-3*(q - 2)*(q + 4)**2
Factor -21*n**2 + 42*n**2 + 46*n - 16*n**2 - 6*n + 60.
5*(n + 2)*(n + 6)
Let h be -19*(-5)/(-7) + 32/56. Let z(n) = -n**3 - 12*n**2 + 12*n - 10. Let w be z(h). Solve 2*q**5 + 25/2*q**w - 19/2*q**2 - 8*q**4 - 1/2 + 7/2*q = 0 for q.
1/2, 1
Suppose -73 + 1273 = 5*b. Factor 8*r**2 - 240 - 4*r**5 - 20*r**3 + b + 16*r**4.
-4*r**2*(r - 2)*(r - 1)**2
Let f = -4 - -7. Let j(r) = -r**2 + 9*r + 2. Let q be j(9). Suppose -3*z + 3*z**q - 7*z**4 + 4*z**4 + f*z = 0. What is z?
-1, 0, 1
Suppose -2564*s - 30 = -2574*s. Determine b so that -34/9*b**2 - 10/9*b**5 + 8/9 + 2/9*b**s + 26/9*b**4 + 8/9*b = 0.
-1, -2/5, 1, 2
Suppose -4*x = 3*q - 5, 100*x - 99*x = -1. Let g(v) be the second derivative of 0 + 9*v + 4*v**2 + 1/6*v**4 - 4/3*v**q. Factor g(n).
2*(n - 2)**2
Factor -7*x**2 + 5*x**2 - 4*x**2 - 4*x**3 - 6*x**2 - x - 7*x.
-4*x*(x + 1)*(x + 2)
Let d(s) be the first derivative of 7/2*s**2 - 1/2*s**3 - 44 + 5/2*s. Solve d(c) = 0.
-1/3, 5
Let v(n) be the third derivative of -n**8/112 - 3*n**7/70 + n**6/40 + 11*n**5/20 + 3*n**4/2 + 2*n**3 + 422*n**2. Let v(z) = 0. What is z?
-2, -1, 2
Let f(m) = -m + 9. Let i be f(0). Let s(o) = o**3 - 8*o**2 - o - 1. Let x be s(i). Suppose 4*a - 83*a**2 + 5*a + 3*a**3 + x*a**2 = 0. What is a?
0, 1, 3
Let l(m) be the first derivative of -m**4/16 - 5*m**3/4 - 24*m - 34. Let y(b) be the first derivative of l(b). Factor y(c).
-3*c*(c + 10)/4
Let y be 360/1260 - (-18)/133. Factor -2/19*c**2 - 8/19*c - y.
-2*(c + 2)**2/19
Suppose i - 24 = -21. Let 0*w**3 + w - w**3 + 0*w**i = 0. What is w?
-1, 0, 1
Find v, given that -5/3 - 2*v - 1/3*v**2 = 0.
-5, -1
Factor 4/5 - 14/5*l + 6/5*l**2.
2*(l - 2)*(3*l - 1)/5
Let h be 10/25 + 4/(-560)*71. Let y = h - -17/28. Suppose -1/2*z**3 + y - 3/2*z + 3/2*z**2 = 0. Calculate z.
1
Let i(s) be the first derivative of 1/3*s**3 + 16*s - 4 - 12*s**2 + 1/5*s**5 + 3/2*s**4. Solve i(n) = 0 for n.
-4, 1
Let k = 10 - 10. Suppose k = -4*y + 20 + 4. Factor -z - 2*z**3 - y*z**2 - z**3 - z - z.
-3*z*(z + 1)**2
Let m be (12246/650 + -19)/((-4)/10). Factor m*s**2 - 14/5*s + 12/5.
2*(s - 6)*(s - 1)/5
Suppose 0 = -3*i - 5*a + 4, a + 1 = -0*a. Suppose 2*b - 19 = -i*f - 0*f, -17 = f - 4*b. Factor 6 + 21*w - 15 + 0*w**f - 15*w**2 + 3*w**3.
3*(w - 3)*(w - 1)**2
Factor -27/2*a**2 + 81/4 - 81/4*a + 3/4*a**5 + 21/4*a**4 + 15/2*a**3.
3*(a - 1)**2*(a + 3)**3/4
Let j(n) = n**4 - 2*n**3 - 2*n**2 - n. Let m(u) = 20*u**5 + 35*u**4 - 75*u**3 - 135*u**2 - 75*u - 10. Let l(k) = -10*j(k) + m(k). Let l(a) = 0. Calculate a.
-1, -1/4, 2
Factor -9*k**4 + 473*k**2 + 17*k**4 - 139*k**2 + 90 + 438*k + 90*k**3.
2*(k + 3)**2*(k + 5)*(4*k + 1)
Let k = 66 + -66. Suppose -o - o = k. What is l in 2/9*l**3 - 4/9 - 2/3*l + o*l**2 = 0?
-1, 2
Let q(s) = s**3 - 8*s**2 + 2. Let w be q(8). Suppose -w*t = -0*t - 8. Factor p**2 + 2*p**2 - p**2 - p**3 - 2*p**t + p**4.
-p**2*(p - 1)*(p + 2)
Let i be (-20)/7*(-118 + 117). Let -36/7*k - i*k**2 - 16/7 = 0. What is k?
-1, -4/5
Let s be (-10)/(-15) + (-16)/24. Let d = 155 - 1080/7. Let 6/7*u - d*u**3 + 13/7*u**2 + s = 0. What is u?
-2/5, 0, 3
Factor 2281*o - 2312*o - 20 + 0*o**4 - o**4 + 7*o**3 - 3*o**2.
-(o - 5)*(o - 4)*(o + 1)**2
Let m(n) be the second derivative of -n**8/36960 + n**6/1320 - n**5/330 + n**4/12 + 14*n. Let d(o) be the third derivative of m(o). Find q, given that d(q) = 0.
-2, 1
Suppose -4*c + 15 = 5*v, -c - 3*v + 0 + 9 = 0. Let -2/13*t**3 + c + 0*t - 4/13*t**2 + 2/13*t**4 = 0. What is t?
-1, 0, 2
Let t be 348/48 - (-1 - -5 - -3). Factor t*x**3 - 3/4*x**2 - 1/4 + 3/4*x.
(x - 1)**3/4
Let h(z) be the second derivative of 2*z**6/15 - 373*z**5/20 + 275*z**4/4 - 547*z**3/6 + 91*z**2/2 + 151*z. Suppose h(o) = 0. What is o?
1/4, 1, 91
Let j(a) be the third derivative of -8/105*a**7 + 0 + 3*a**2 - 1/84*a**8 - 1/5*a**6 + 0*a**3 + 0*a - 1/6*a**4 - 4/15*a**5. Factor j(u).
-4*u*(u + 1)**4
Let c(w) = -4*w**4 - 80*w**3 - 20*w**2 + 104*w + 16. Let j(y) = -y**4 - 16*y**3 - 4*y**2 + 21*y + 3. Let d(a) = 3*c(a) - 16*j(a). Suppose d(o) = 0. Calculate o.
-3, -2, 0, 1
Let u(j) be the third derivative of 0*j**3 + 8/45*j**4 - 43*j**2 - 11/75*j**6 + 0*j + 76/225*j**5 - 146/225*j**7 + 0 - 7/72*j**8. Solve u(x) = 0.
-4, -2/7, 0, 2/5
Let u(q) be the first derivative of -8 + 1/18*q**4 + 0*q**2 + 0*q - 2/27*q**3. Let u(h) = 0. Calculate h.
0, 1
Let p(v) be the second derivative of 12*v + 0 - 5/6*v**3 + 0*v**2 + 5/12*v**4. Let p(w) = 0. Calculate w.
0, 1
Let h(v) be the second derivative of 0*v**3 - 1/90*v**4 + 0*v**2 + 0 + 1/225*v**6 + 0*v**5 + 15*v. Find o such that h(o) = 0.
-1, 0, 1
Let -x**3 + 8*x**5 + 5*x**4 - 7*x**5 - 22*x**2 + 17*x**2 = 0. Calculate x.
-5, -1, 0, 1
Determine i, given that 12/7*i**2 + 0*i + 12/7*i**3 + 0 - 3/7*i**4 - 3/7*i**5 = 0.
-2, -1, 0, 2
Let y = 4257 + -4257. Factor 10/11*o**3 + 2/11*o**4 + 8/11*o**2 + 0*o + y.
2*o**2*(o + 1)*(o + 4)/11
Let z(t) be the third derivative of -t**5/30 - 2*t**4 - 23*t**3/3 + t**2 - 41. Suppose z(q) = 0. Calculate q.
-23, -1
Let c = -3 + 0. Let g be ((-15)/50)/(c/12). Suppose -g*b**3 + 2/5*b**2 + 3/5*b**5 - 1/5 + 3/5*b - 1/5*b**4 = 0. What is b?
-1, 1/3, 1
Let u(n) be the third derivative of 3*n**8/392 - 4*n**7/35 + 289*n**6/420 - 223*n**5/105 + 25*n**4/7 - 24*n**3/7 - n**2 + 82. What is d in u(d) = 0?
2/3, 2, 3
Let k(w) be the second derivative of 25/3*w**2 + 10/9*w**3 + 0 + 1/18*w**4 - 2*w. Factor k(v).
2*(v + 5)**2/3
Find p such that p**3 + 11043*p**2 + 8*p**4 + 6*p**5 - 4*p - 3*p**5 - 11051*p**2 = 0.
-2, -1, -2/3, 0, 1
Let h(d) be the second derivative of d**6/3 - 12*d**5/5 + 9*d**4/5 + 72*d**3/5 + 81*d**2/5 - 13*d - 10. Solve h(m) = 0.
-3/5, 3
Solve -1/7*s**2 - 3/7*s**4 + 4/7 + 8/7*s - 8/7*s**3 = 0.
-2, -1, -2/3, 1
Let f(m) = m**2 + 9*m - 22. Let c be f(-11). Suppose -5*g + c*g - v = -10, -3*g - 2*v = 1. Factor -2/9*t**g - 4/9 + 4/9*t**2 + 2/9*t.
-2*(t - 2)*(t - 1)*(t + 1)/9
Let x = -75 - -79. Factor 19*c**x - 5*c**2 - 38*c**4 + 10*c - 10*c**3 + 24*c**4.
5*c*(c - 2)*(c - 1)*(c + 1)
Let y(r) be the third derivative of -5/108*r**4 + 0*r - 2/45*r**5 - 2*r**2 - 1/540*r**6 + 4/945*r**7 + 2/27*r**3 + 0. Solve y(t) = 0.
-1, 1/4, 2
Find t, given that 1852 - 51*t**3 - 1833*t + 46*t**3 - 1290*t + 353 + 708*t + 215*t**2 = 0.
1, 21
Suppose 10/21*f