 the second derivative of -m**4/10 + 7*m**3/30 - m**2/10 + 78*m. Factor w(l).
-(l - 1)*(6*l - 1)/5
Let t = -215149 + 33563389/156. Let s = 13/12 - t. Factor 0 + 2/13*c**3 - 2/13*c - 2/13*c**2 + s*c**4.
2*c*(c - 1)*(c + 1)**2/13
Let p(c) be the third derivative of -c**6/144 - c**5/18 + 95*c**4/144 - 35*c**3/18 + 66*c**2. Let p(l) = 0. Calculate l.
-7, 1, 2
Let o(x) be the third derivative of -14*x**2 + 1/40*x**4 + 0*x + 0 - 1/100*x**5 + 0*x**3. Find t, given that o(t) = 0.
0, 1
Let u = 20 - 18. Let l(p) be the second derivative of 0 + 0*p**u + p + 1/10*p**6 - 3/20*p**5 + 0*p**4 + 0*p**3. Find m, given that l(m) = 0.
0, 1
Factor 2/11*s**2 + 0 - 10/11*s.
2*s*(s - 5)/11
Let a be 8/6 + (-6)/(-9). Let s be 3 - (0 - a) - 4/(-8). Factor -9/4*x**5 + 2*x**2 + 0 - s*x**3 - 1/4*x + 6*x**4.
-x*(x - 1)**2*(3*x - 1)**2/4
Let f(h) = 7*h**2 - 9*h + 2. Let i be 1 - 10 - 33/(-11). Let z(w) = -w**2 + w. Let g(t) = i*z(t) - f(t). Let g(c) = 0. Calculate c.
1, 2
Let m(b) = -b**3 - 2*b**2 + 3*b - 4. Let u be m(-4). Suppose -14*t**2 + 8*t - 3*t - 20*t**4 + 45*t**3 - u*t**2 = 0. Calculate t.
0, 1/4, 1
Suppose 0 = -9*b + 3*b + 30. Let d be b/5 - ((-20)/(-14))/2. Suppose 8/7*t**5 - 6/7*t**3 + 0 - 10/7*t**2 - d*t + 10/7*t**4 = 0. What is t?
-1, -1/4, 0, 1
Let y(s) = -17*s + 9. Let k be y(5). Let r be 2/(-6) + k/60 - -2. Factor r*c**2 + 8/5*c + 6/5.
2*(c + 1)*(c + 3)/5
Suppose -4*x = -0*x - 12. Factor 2 - 3*l**2 + 4 + 7*l + x - 13*l.
-3*(l - 1)*(l + 3)
Let o(a) = -6*a**3 + 13*a**3 - 5*a**3 + 2 - 16*a**2. Let d(p) = -5*p**3 + 48*p**2 - 7. Let c(v) = 2*d(v) + 7*o(v). Determine k so that c(k) = 0.
0, 4
Let p(h) = 45*h**3 - 360*h**2. Let u(i) = -5*i**3 + 40*i**2. Suppose -103 = 4*b + 37. Let t(k) = b*u(k) - 4*p(k). Let t(r) = 0. What is r?
0, 8
Factor -87/4*p + 45/4 + 3/4*p**3 + 39/4*p**2.
3*(p - 1)**2*(p + 15)/4
Let i(m) be the second derivative of 2*m**6/15 + 4*m**5/5 + 5*m**4/3 + 4*m**3/3 - 6*m. Factor i(v).
4*v*(v + 1)**2*(v + 2)
Let z(g) be the second derivative of -1/160*g**5 + 5/48*g**3 - 1/240*g**6 - 9*g + 0 + 1/32*g**4 + 1/8*g**2. Factor z(l).
-(l - 2)*(l + 1)**3/8
Let a(l) be the first derivative of -l**6/3 + 2*l**5/3 + l**4/2 - 2*l**3 + 4*l**2/3 + 14. Factor a(p).
-2*p*(p - 1)**3*(3*p + 4)/3
Let d be (-216)/(-24) + 5 - 11. Suppose v - 1/2 - 2*v**4 - 2*v**d + 3/2*v**2 = 0. What is v?
-1, 1/2
Let o(u) be the third derivative of -u**8/112 - 3*u**7/70 + u**6/4 - 494*u**2. Solve o(j) = 0.
-5, 0, 2
Let k(p) be the third derivative of -1/48*p**6 + 0 - 2*p**2 - 5/48*p**4 + 0*p + 1/12*p**5 + 0*p**3. Factor k(j).
-5*j*(j - 1)**2/2
Let y(p) be the third derivative of 4*p**2 + 0 + 0*p**3 - 1/3*p**5 - 1/3*p**4 + 7/30*p**6 + 0*p. Factor y(a).
4*a*(a - 1)*(7*a + 2)
Let b(n) = -n**3 + 9*n**2 - 3*n - 71. Let a be b(7). Let p(c) be the second derivative of 0 - 4/5*c**2 - 3/40*c**4 - a*c - 1/200*c**5 - 2/5*c**3. Factor p(h).
-(h + 1)*(h + 4)**2/10
Let v be ((-2)/(-4)*-4)/((-6)/15). Let u(q) be the third derivative of -1/20*q**v + q**2 + 0*q + 0 + 2*q**3 - 3/8*q**4. Let u(w) = 0. What is w?
-4, 1
Factor 7*u - 27/4 - 1/4*u**2.
-(u - 27)*(u - 1)/4
Let a(y) = -8*y**3 + 19*y**2 - 27*y + 21. Let s(v) = -14*v**3 + 36*v**2 - 54*v + 41. Let f(d) = 5*a(d) - 3*s(d). Factor f(x).
(x - 3)*(x - 2)*(2*x - 3)
Suppose 9 + 9 = 6*h. Factor -12*x - 2 + 2*x - 5*x**2 - h.
-5*(x + 1)**2
Let k be (-3)/9 + 21/9. Suppose p - k + 0 = 0. Solve 5 - 5*j + 3*j**2 + 3*j**2 - 5*j**p - 1 = 0 for j.
1, 4
Suppose 0 = 5*w - 5*r + 5, -1286*w + 1283*w = 4*r - 25. What is p in 32/15 + 24/5*p**w + 128/3*p**2 - 54/5*p**4 - 96/5*p = 0?
-2, 2/9, 2
Let v(k) = 7*k**2 - 77*k + 74. Let l(j) = 8*j**2 - 79*j + 76. Let o(a) = 4*l(a) - 5*v(a). Factor o(r).
-3*(r - 22)*(r - 1)
Suppose 5*u - m - 6 = 0, 2*m + 0 = 5*u - 2. Determine o so that 12*o + 10 + 6 - 4 + 4*o**u + 4*o = 0.
-3, -1
Factor -58*k + 38*k - k**3 + 9*k**3 - 10 + 37*k + 35*k - 50*k**2.
2*(k - 5)*(k - 1)*(4*k - 1)
Factor 303/4*m**2 + 44*m + m**4 - 16 + 67/4*m**3.
(m + 1)*(m + 8)**2*(4*m - 1)/4
Let r be (-416)/(-546)*(4 + 2). Factor -12/7 - 20/7*g**2 + r*g.
-4*(g - 1)*(5*g - 3)/7
Let y be (128/80)/((-1)/5). Let x(t) = t**3 + 8*t**2 - 2*t - 14. Let w be x(y). Find m, given that w*m - 4/3 - 2/3*m**2 = 0.
1, 2
Let b(p) be the second derivative of -p**6/20 - 27*p**5/40 - 15*p**4/8 - 7*p**3/4 + 3*p + 18. Determine o, given that b(o) = 0.
-7, -1, 0
Let t = -3725 - -14903/4. Factor -4*v**3 + 23/4*v + t + 10*v**2.
-(v - 3)*(4*v + 1)**2/4
Suppose a + 3*b + 7 = 9, 5*b - 5 = -2*a. Suppose -1/2*p**4 + 1/2*p**2 - 1/4*p**a + 0*p**3 + 1/4*p + 0 = 0. What is p?
-1, 0, 1
Suppose -3*z = 5*a + 43 - 9, 0 = -2*a - 2*z - 16. Let w be (a/35 - 284/70)*-1. Factor 9*t**2 + 3/5*t**4 + 0 - 27/5*t - w*t**3.
3*t*(t - 3)**2*(t - 1)/5
Let x(b) be the third derivative of b**8/1680 + b**7/210 + b**6/90 + b**4/12 + 8*b**2. Let m(a) be the second derivative of x(a). Factor m(v).
4*v*(v + 1)*(v + 2)
Let o = -1660 - -1668. Let x(p) be the first derivative of -5*p**2 - o*p - 6 - 2/3*p**3. Factor x(f).
-2*(f + 1)*(f + 4)
Let d(t) = -t**3 + t**2 - t - 2. Let h(r) = -4*r**3 - 26*r**2 - 58*r - 33. Let q(g) = 3*d(g) - h(g). Let q(f) = 0. Calculate f.
-27, -1
Let y = -1185 - -17776/15. Let z(f) be the second derivative of 1/5*f**2 + 1/6*f**3 + 1/100*f**5 + 2*f + 0 + y*f**4. Factor z(u).
(u + 1)**2*(u + 2)/5
Let -20/3*r + 4*r**2 - 32/3 = 0. Calculate r.
-1, 8/3
Let o(c) be the first derivative of -c**6/3 + c**4 - c**2 + 267. Determine g so that o(g) = 0.
-1, 0, 1
Let p(a) = -a**3 + 31*a**2 - a + 36. Let x be p(31). Suppose 0 = 2*k + x*j - 12 - 6, -5*j + 2 = -2*k. Factor 0*v - 1/4*v**5 + 0 - 3/4*v**k + 0*v**2 - 1/2*v**3.
-v**3*(v + 1)*(v + 2)/4
Let n(w) be the second derivative of -3/8*w**4 + 13*w + 1/20*w**6 + 0*w**2 - 3/20*w**5 + 0*w**3 + 0. Let n(x) = 0. What is x?
-1, 0, 3
Suppose 7*s = 9*s - 8. Let z be 2/(-15)*9*s/(-12). Find j, given that -2/5*j + 4/5*j**2 + 0 - z*j**3 = 0.
0, 1
Let w(k) = -23*k**3 - k**2 + 15*k - 5. Let c(a) = 27*a**3 - 18*a + 6. Let d(t) = -5*c(t) - 6*w(t). Solve d(n) = 0 for n.
-2, 0
Find d, given that 2/13*d**5 + 10/13*d**4 + 20/13*d**2 + 2/13 + 10/13*d + 20/13*d**3 = 0.
-1
Let m be (792/40)/(2/(-5)). Let j = m + 50. Factor -1/3*s - j*s**2 + 1/2*s**4 + 1/6*s**3 + 0 + 1/6*s**5.
s*(s - 1)*(s + 1)**2*(s + 2)/6
Solve 4/11*f**2 + 2/11*f**3 + 0 + 2/11*f = 0.
-1, 0
Let h(s) = 2*s**2 + 35*s - 352. Let o(p) = 5*p**2 + 106*p - 1059. Let r(y) = -8*h(y) + 3*o(y). Factor r(f).
-(f - 19)**2
Let g(l) be the third derivative of l**6/40 + 3*l**5/20 - 2*l**3 + 80*l**2. Determine y so that g(y) = 0.
-2, 1
Let n(j) be the third derivative of j**5/60 - j**4/8 + 195*j**2. Factor n(y).
y*(y - 3)
What is p in 6*p + 68/11 - 2/11*p**2 = 0?
-1, 34
Let u(m) be the second derivative of -m**8/33600 - m**7/6300 - m**6/3600 + m**4/2 - 12*m. Let b(f) be the third derivative of u(f). Let b(j) = 0. What is j?
-1, 0
Let z(i) = 21*i**3 - 46*i**2 + 44*i - 9. Let g(w) = -84*w**3 + 183*w**2 - 177*w + 36. Let m(a) = 5*g(a) + 21*z(a). Find p, given that m(p) = 0.
3/7, 1
Factor -324 - 3904*u**2 + 5*u + 3900*u**2 + 67*u.
-4*(u - 9)**2
Let d = 40 + -27. Solve -35*j + 23*j - j**2 + d*j = 0.
0, 1
Let n(l) be the first derivative of 5*l**6/6 + 9*l**5 + 135*l**4/4 + 45*l**3 - 353. Factor n(o).
5*o**2*(o + 3)**3
Let o(a) be the second derivative of -a**5/100 + 7*a**3/30 + 3*a**2/5 + 6*a - 12. Factor o(i).
-(i - 3)*(i + 1)*(i + 2)/5
Let f = -7 - -7. Let 5*j**3 + f*j**3 - 3*j**3 - 5*j + 3*j**3 + 20*j**2 - 20 = 0. Calculate j.
-4, -1, 1
Let i be -8 - (9 - 4) - -13. Let 0*n**2 - 2/5*n**5 + i*n**3 + 2/5*n**4 + 0*n + 0 = 0. Calculate n.
0, 1
Determine l, given that 39/8 - 3/8*l**3 + 33/8*l**2 + 75/8*l = 0.
-1, 13
Let h = 988 + -4919/5. Let r = -137/35 + h. Suppose -4/7*u - 6/7 + r*u**2 = 0. What is u?
-1, 3
Let x(j) be the first derivative of j**3/2 - 513*j**2/2 + 87723*j/2 - 283. Factor x(b).
3*(b - 171)**2/2
Determine u, given that -72/7 - 146/7*u - 2/7*u**3 - 76/7*u**2 = 0.
-36, -1
Let r(u) be the first derivative of 6*u**5/5 - 33*u**4/4 + 69*u**2/2 + 30*u - 42. Determine c so that r(c) = 0.
-1, -1/2, 2, 5
Let i(h) be the third derivative of -h**6/60 + h**5/30 + 50*h**2. Factor i(m).
-2*m**2*(m - 1)
Let a(n) be the third derivative of n**7/42 - 31*n**6/24 + 43*n**5/6 - 35*n**4/3 + 57*n**2 - 2. Factor a(m).
5*m*(m - 28)*(m - 2)*(m - 1)
Let h