a**2 + 13*a - 13*a - b.
3*(a - 1)*(a + 1)
Let b be (105/(-224))/((-6)/4). Let x = 9/16 - b. Factor 0 + 0*f**2 + 0*f - x*f**3.
-f**3/4
Factor 0 - 6/5*y**3 - 16/5*y**2 - 8/5*y.
-2*y*(y + 2)*(3*y + 2)/5
Let a(x) be the second derivative of -x**4/12 - 2*x**3/3 - 2*x**2 + 44*x. Factor a(i).
-(i + 2)**2
Let p = 47/48 - 5/16. Factor 2/3*q**2 + 0 - p*q.
2*q*(q - 1)/3
Factor 9/7*c**2 - 5/7*c**4 - 1/7*c**5 + 0*c - 3/7*c**3 + 0.
-c**2*(c - 1)*(c + 3)**2/7
Let r = -22 - -22. Solve r + 2/5*a**3 + 4/5*a + 6/5*a**2 = 0.
-2, -1, 0
Let n(a) be the first derivative of -3*a**4/32 + 3*a**2/16 + 9. Determine c so that n(c) = 0.
-1, 0, 1
Let z(r) be the second derivative of -r**6/15 + r**5/10 + r**4/2 - 5*r**3/3 + 2*r**2 - 2*r. Factor z(a).
-2*(a - 1)**3*(a + 2)
Let x be (-57)/(-9) + 8/12. Suppose x*z - 6 = 5*z. Solve 0 + 2/5*a**4 + 2*a**2 - 4/5*a - 8/5*a**z = 0.
0, 1, 2
Factor 8/3 - 22/3*p + 5/3*p**2.
(p - 4)*(5*p - 2)/3
Solve 16/7*o**2 - 8/7*o - 100/7*o**4 + 50/7*o**5 + 6*o**3 + 0 = 0 for o.
-2/5, 0, 2/5, 1
Let p(z) be the second derivative of 0*z**2 + 1/63*z**7 + 0*z**4 + 0*z**5 - 1/45*z**6 - z + 0 + 0*z**3. Find j such that p(j) = 0.
0, 1
Let d(p) be the first derivative of -2 + 0*p**2 - 1/2*p**4 + 0*p + 4/3*p**3. Find z such that d(z) = 0.
0, 2
Suppose -3*v - 2*x = v - 2, -3 = x. Let a(u) be the second derivative of -1/5*u**v + 1/60*u**4 + 0 - 2*u - 1/30*u**3. Factor a(w).
(w - 2)*(w + 1)/5
Let k be (-84)/(-9) - 1/3. Suppose 0*g + g + 3*v = k, -g + 4*v - 5 = 0. Factor 0 + 0*d + 0*d**2 - 2/3*d**g.
-2*d**3/3
Let o be -4 + 6 + 0 + 3. Suppose o*z + 33 = 4*d, -4*d + d + 4*z + 26 = 0. Find r, given that d*r**5 + 5*r**3 - 3*r**3 - 4*r**5 = 0.
-1, 0, 1
Let z(x) be the second derivative of 0*x**2 - 1/12*x**4 + 1/9*x**3 + 0 - 5*x + 1/60*x**5. Factor z(c).
c*(c - 2)*(c - 1)/3
Let t(l) be the first derivative of -l**6/300 + l**5/150 + l**2/2 + 2. Let f(m) be the second derivative of t(m). Let f(j) = 0. What is j?
0, 1
Let j(f) be the second derivative of f**9/75600 - f**7/12600 - f**4/6 + 8*f. Let g(p) be the third derivative of j(p). Factor g(w).
w**2*(w - 1)*(w + 1)/5
Let d(h) be the first derivative of -2*h**5/5 - h**4/2 + 14*h**3/3 + h**2 - 12*h + 29. Suppose d(q) = 0. Calculate q.
-3, -1, 1, 2
Let w(z) be the first derivative of 0*z**2 + 1/25*z**5 + 1/15*z**3 + 0*z + 4 - 1/10*z**4. Solve w(q) = 0.
0, 1
Let k(a) = 5*a**2 + 5*a - 6. Let j(c) = 55*c**2 + 55*c - 65. Let p(b) = -6*j(b) + 65*k(b). Factor p(w).
-5*w*(w + 1)
Factor -6*j - 5*j**2 - 133*j**3 + 136*j**3 + 2*j**2.
3*j*(j - 2)*(j + 1)
Let p = 824/2933 + 2/419. Find s, given that p*s**3 - 2/7*s**5 - 2/7*s**2 + 0 + 2/7*s**4 + 0*s = 0.
-1, 0, 1
Let p be 19/15*1 - 1. Let a(r) be the first derivative of 0*r - 1/10*r**4 + p*r**3 + 2 - 1/5*r**2. Determine x so that a(x) = 0.
0, 1
Suppose -6*o = -4*o + 12. Let b be (-9)/45*10/o. Factor -b*a**2 + 0 + 1/3*a**3 - 2/3*a.
a*(a - 2)*(a + 1)/3
Let o(k) = 12*k**2 + 16*k + 1. Let b(t) = -132*t**2 - 176*t - 12. Let s be (-1 + -4)*3/(-5). Let d(a) = s*b(a) + 32*o(a). Solve d(j) = 0.
-1, -1/3
Let f = 12/5 - 571/240. Let u(c) be the third derivative of 1/240*c**6 + 0 - c**2 + 0*c**5 - f*c**4 + 0*c**3 + 0*c. Factor u(r).
r*(r - 1)*(r + 1)/2
Let j = 5 + -3. Suppose -j*i = i - 12. What is m in -4*m**3 - 5*m**5 - 3*m**5 + 10*m**4 - 24*m**i + 2*m**2 = 0?
-1, 0, 1/4
Let g(j) = 18*j - 68. Let t be g(4). Let a**t - a**2 + 1/2*a**5 - 1/2*a + 0 + 0*a**3 = 0. Calculate a.
-1, 0, 1
Suppose w - 3 = -s - 4, 0 = 2*s - 3*w - 23. Let n be (-1)/s + 11/12. Factor 4/3*a**4 + a**5 + 0*a - n*a**2 - 1/3*a**3 + 0.
a**2*(a + 1)**2*(3*a - 2)/3
Let p(y) = -12*y**2 + 36*y - 33. Let k(d) = -3 + 9*d - 3*d**2 - 1 - 8 + 4. Let c(l) = 9*k(l) - 2*p(l). Factor c(f).
-3*(f - 2)*(f - 1)
Let h(q) be the first derivative of -q**5/80 - q**4/16 - q**3/8 - q**2/8 - 3*q - 3. Let s(o) be the first derivative of h(o). Factor s(j).
-(j + 1)**3/4
Let b(r) = r**4 - 16*r**3 + 82*r**2 - 192*r + 150. Let z(k) = -k**2 + 1. Let p(d) = b(d) - 6*z(d). Factor p(a).
(a - 6)**2*(a - 2)**2
Let n(q) = -q + 4. Let x be n(8). Let i = x - -7. Factor -3*r**4 + i*r**4 - 2*r**5 - r + r**5 + 2*r**3.
-r*(r - 1)**2*(r + 1)**2
Let l = 22 - 22. Let m(y) be the third derivative of 1/120*y**6 - y**2 - 1/20*y**5 + 1/8*y**4 - 1/6*y**3 + 0*y + l. What is j in m(j) = 0?
1
Let o be (0*1/(-3))/(8/(-4)). Factor o + 1/2*p - p**3 + 0*p**4 + 1/2*p**5 + 0*p**2.
p*(p - 1)**2*(p + 1)**2/2
Let l(b) be the first derivative of 18*b**5/5 - 3*b**4/2 - 52*b**3/3 + 28*b**2 - 16*b + 3. Suppose l(u) = 0. Calculate u.
-2, 2/3, 1
Suppose -3/5*i**2 - 18/5*i - 27/5 = 0. What is i?
-3
Let s(y) be the second derivative of y**7/14 + 3*y**6/10 + 3*y**5/20 - 3*y**4/4 - y**3 - 16*y. What is l in s(l) = 0?
-2, -1, 0, 1
Solve 8/5 - 2/5*x**2 + 4/5*x - 1/5*x**3 = 0 for x.
-2, 2
Let d be ((-4)/2 + 2)/1. Let g be (-14)/(-21)*6*1. Suppose d*t + 2/3*t**g + 0*t**2 + 0 + 0*t**3 = 0. Calculate t.
0
Suppose 4*r**5 - 19*r**2 + 8*r - 7*r**3 + 11*r**3 - 9*r**2 - 20*r**4 + 32*r**3 = 0. What is r?
0, 1, 2
Suppose 3*u = -u - r + 5, 3*r + 17 = 4*u. Suppose 10 = 2*k + u. Factor 3*z**3 + 2*z - k*z**2 - 7*z + 2 + 4*z.
(z - 1)**2*(3*z + 2)
Determine k so that 1/3*k**2 + 7/3*k + 10/3 = 0.
-5, -2
Let k = -7 - -12. Factor -a - k*a + 5*a - a**2.
-a*(a + 1)
Let y(r) = 9*r**2 - 3. Suppose 11 = 3*h + 32. Let j(x) = 10*x**2 - x - 4. Let s(w) = h*y(w) + 6*j(w). Factor s(o).
-3*(o + 1)**2
Let c = -6 + 8. Let s(x) = 6*x**3 + x**2 + 7. Let k(y) = -2 - 2*y**3 + y**2 - y**2. Let h(t) = c*s(t) + 7*k(t). Factor h(d).
-2*d**2*(d - 1)
Let u(p) = -p**3 + 12*p**2 - 14*p + 35. Let j be u(11). Factor 1/3*f**2 + j*f + 3.
(f + 3)**2/3
Let u be (-2)/2*(-4)/48. Let v(i) be the second derivative of u*i**6 - i + 1/4*i**2 - 1/12*i**3 - 1/20*i**5 + 0 + 1/28*i**7 - 1/4*i**4. Factor v(b).
(b - 1)*(b + 1)**3*(3*b - 1)/2
Factor 35*n**4 + 9/4*n + 15*n**2 + 49/4*n**5 + 71/2*n**3 + 0.
n*(n + 1)**2*(7*n + 3)**2/4
Suppose 3*v = -5*i + 5 + 16, 4*v + 2*i = 28. Suppose 3*q = v*q - 20. Find j, given that -10 - 8*j**q + 231*j**4 - 188*j**5 + 82*j**3 - 36*j + 6 - 77*j**2 = 0.
-2/7, -1/4, 1
Factor 4 + 3*n + 0 + 5*n**2 + 5*n - n**2.
4*(n + 1)**2
Let l(j) be the third derivative of j**8/3360 - j**7/840 + j**5/120 - j**4/48 - j**3/2 - 2*j**2. Let i(y) be the first derivative of l(y). Factor i(t).
(t - 1)**3*(t + 1)/2
Let y(m) be the third derivative of m**8/420 + m**7/210 - m**6/45 + 4*m**3/3 - m**2. Let d(o) be the first derivative of y(o). Determine c so that d(c) = 0.
-2, 0, 1
Let z(t) = -4*t**2. Let x(f) = -f**4 - 16*f**2 - 1. Let a(b) = -2*x(b) + 9*z(b). Determine n, given that a(n) = 0.
-1, 1
Let k(v) = 5*v**2 - 3*v + v**2 + 1 + 0*v**2. Suppose 16 = -2*z - 2*z. Let o(u) = -5*u**2 + 2*u - 1. Let t(c) = z*k(c) - 5*o(c). Factor t(r).
(r + 1)**2
Let d(w) be the second derivative of w**4/90 + 4*w**3/45 - w**2/3 - 3*w. Determine i, given that d(i) = 0.
-5, 1
Find m, given that 201/5*m**3 - 48/5*m + 69/5*m**2 + 147/5*m**5 - 12/5 - 357/5*m**4 = 0.
-2/7, 1
Let f(v) = -10*v**5 + 35*v**4 - 85*v**3 + 115*v**2 - 70*v + 15. Let p(y) = y**5 - y**3 - y**2 + y. Let m(g) = -f(g) - 5*p(g). Find c such that m(c) = 0.
1, 3
Let u(o) be the second derivative of -5*o**4/42 + 2*o**3/21 + 3*o**2/7 - 8*o. Solve u(b) = 0.
-3/5, 1
Let l = 515/1827 + 1/261. Let s be (-1 - -1) + 0/(-3). Solve -2/7*q**5 + l*q**4 + s + 0*q - 2/7*q**2 + 2/7*q**3 = 0.
-1, 0, 1
Let f(l) = -9*l - 6. Let v(i) = -i**2 - 10*i - 7. Let w(q) = 2*f(q) - 3*v(q). Factor w(h).
3*(h + 1)*(h + 3)
Let u(w) be the third derivative of w**5/45 - 5*w**4/72 + w**3/18 - 2*w**2. Determine p, given that u(p) = 0.
1/4, 1
Let p(l) = 30*l + 122. Let q be p(-4). Factor 2/3*b + 0 + 2/3*b**q - 2/3*b**4 - 2/3*b**3.
-2*b*(b - 1)*(b + 1)**2/3
Suppose -15*g**2 - 2 - 11 + 20*g**3 - 125*g - 17 = 0. Calculate g.
-2, -1/4, 3
Let j = 58 + -54. Determine w so that 8/13*w + 8/13*w**3 - 12/13*w**2 - 2/13 - 2/13*w**j = 0.
1
Let z(t) be the second derivative of t**5/20 + t**4/6 + t**3/6 - 12*t. Determine g, given that z(g) = 0.
-1, 0
Let k(z) be the second derivative of -1/30*z**6 + 0*z**2 + 3/40*z**5 + 1/12*z**4 + 0*z**3 - 9*z + 0. Factor k(x).
-x**2*(x - 2)*(2*x + 1)/2
Suppose -4*r - 5*o = -25, -4*o - 9 = 3*r - 28. Factor -2*s**2 + 2*s - s**r + s**3 - s**4 + 3*s**2 - 2*s.
-s**2*(s - 1)*(s + 1)**2
Let m(s) = s**5 + s**4 - s**3 - s**2 + s