*a**2 - 2*a - 3. Let g(b) = 2*b**2 + 2*b + 2. Let n be 18/4 + (-2)/4. Suppose 0 = n*c - 9 + 1. Let f(o) = c*z(o) + 3*g(o). Factor f(i).
2*i*(i + 1)
Let m(x) be the third derivative of x**8/2520 + 160*x**2. Factor m(y).
2*y**5/15
Suppose -15 = 5*c - 25. Let y(q) be the second derivative of 0 + 1/135*q**6 + 1/45*q**5 + 1/54*q**4 + 0*q**3 + q + 0*q**c. Solve y(w) = 0 for w.
-1, 0
Let q(c) be the first derivative of -2/15*c**5 + 1/6*c**4 + 6 + 0*c + 0*c**2 - 2/27*c**3 + 1/27*c**6. Let q(i) = 0. What is i?
0, 1
Let s(m) = m**2 - 34*m - 29. Let h(p) = 3*p**2 - 66*p - 59. Let i(f) = -3*h(f) + 5*s(f). Solve i(k) = 0.
-1, 8
Let r(l) = 16*l - 157. Let b be r(10). Let u(o) be the first derivative of 2 - 1/2*o**2 + 0*o**4 - 1/2*o**b + 0*o + 1/10*o**5. Suppose u(p) = 0. Calculate p.
-1, 0, 2
Determine a so that 6 - 2/13*a**2 - 76/13*a = 0.
-39, 1
Let r(s) be the first derivative of 2/9*s**3 - 5 - 8/9*s + 4/9*s**2 - 2/9*s**4 + 2/45*s**5. Factor r(h).
2*(h - 2)**2*(h - 1)*(h + 1)/9
Let u = 14 - -11. Suppose 0 = 2*i - 29 + u. Factor -i*h + 4/3 + 2/3*h**2.
2*(h - 2)*(h - 1)/3
What is k in -16 - 24*k**3 + k**4 - 8 - 63*k**2 - 66*k - 20*k**4 + 16*k**4 = 0?
-4, -2, -1
Let j(c) be the third derivative of 0 + 0*c - 25*c**2 + 7/480*c**6 + 0*c**4 + 1/120*c**5 + 0*c**3 + 1/280*c**7. Factor j(t).
t**2*(t + 2)*(3*t + 1)/4
Solve 16 - 400*q + 16 - 35 + 555*q**2 + 23 = 0.
2/37, 2/3
Let k(u) = 3*u**3 + u**2 - 1. Let l be k(1). Let q = 30 - 27. Find x, given that -1 + 4 + q*x - 2 + 5 - l*x**2 = 0.
-1, 2
Let c(t) = -20*t**4 + 68*t**3 - 108*t**2 + 84*t - 24. Let z(j) = 7*j**4 - 23*j**3 + 36*j**2 - 28*j + 8. Let b(u) = 3*c(u) + 8*z(u). Find x, given that b(x) = 0.
1, 2
Let w(k) be the third derivative of -k**7/280 + 3*k**6/40 - 112*k**2. Suppose w(p) = 0. What is p?
0, 12
Let u be (-20)/(-4) - (-372)/(-80). Let a(p) be the second derivative of 53/24*p**4 + 3/2*p**2 + 0 + 5*p - 35/12*p**3 - u*p**5. Factor a(w).
-(w - 3)*(2*w - 1)*(7*w - 2)/2
Let w(y) = -15*y + 5*y + 1 + 5*y. Let z be w(-1). Factor -4*r**4 - 3*r**5 + 3*r + z*r**3 - 6*r + 6*r**2 + r**4 - 3.
-3*(r - 1)**2*(r + 1)**3
Let a(j) be the first derivative of -5*j**3/3 - 55*j**2/2 - 50*j + 205. What is z in a(z) = 0?
-10, -1
Let i = 6208379/98 + -63352. Let t = -5/98 - i. Factor 4/7*x + 4/7*x**5 + t*x**2 - 8/7*x**3 - 4/7 - 4/7*x**4.
4*(x - 1)**3*(x + 1)**2/7
Suppose -5*b + 4*b + 5*i - 3 = 0, -4*b = -2*i - 78. Suppose -a - 4*q + b = -0, 3*q - 19 = -2*a. Factor 14/3*l**a + 6 - 2/3*l**3 - 10*l.
-2*(l - 3)**2*(l - 1)/3
Factor -4/3*x - 4/3 + 1/3*x**2 + 1/3*x**3.
(x - 2)*(x + 1)*(x + 2)/3
Let d(g) be the third derivative of -g**8/784 - 13*g**7/490 - 31*g**6/280 - g**5/20 + 4*g**4/7 + 10*g**3/7 - 176*g**2. Find p, given that d(p) = 0.
-10, -2, -1, 1
Let u(h) = -h**2 - h + 1. Suppose 4*x = 3 + 9. Let y be (-1)/x*(-6 - -9). Let n(a) = 7*a**2 - 3*a + 3. Let b(o) = y*n(o) - 5*u(o). Factor b(z).
-2*(z - 2)**2
Let r(b) be the second derivative of -b**6/900 + b**4/15 + b**3/3 - 14*b. Let t(v) be the second derivative of r(v). Factor t(h).
-2*(h - 2)*(h + 2)/5
Suppose -5*w + 20 = -w. Suppose 4*c - w*c = -2. Factor 6 + 10*r + 3*r**3 + r**3 + 2 + 10*r + 16*r**c.
4*(r + 1)**2*(r + 2)
Let n(t) = -15*t**2 - 295*t + 1820. Let r(s) = 2*s**2 + 42*s - 260. Let a(b) = -3*n(b) - 20*r(b). Factor a(q).
5*(q - 4)*(q + 13)
Let j(k) = 4*k - 12. Let f = 160 - 157. Let x be j(f). Suppose x*r + 3/2*r**2 + 0 - 3/4*r**3 - 3/4*r**4 = 0. What is r?
-2, 0, 1
Let g = 252 + -249. Let j(b) be the second derivative of -2/21*b**g - 1/105*b**6 + 0*b**2 + 0*b**5 - 3*b + 1/14*b**4 + 0. Find x, given that j(x) = 0.
-2, 0, 1
Find o such that 0*o + 2/9*o**5 + 64/9*o**3 - 22/9*o**4 - 56/9*o**2 + 0 = 0.
0, 2, 7
Let s be (-786)/88 + (-10)/(-55). Let r = 9 + s. Factor -1/4*f + r*f**2 + 0.
f*(f - 1)/4
Let 9/5*k**2 - 24/5*k - 1/5*k**3 + 16/5 = 0. Calculate k.
1, 4
Let v(d) = 64*d**4 + 220*d**3 + 108*d**2 + 12*d + 8. Let r(n) = 64*n**4 + 221*n**3 + 106*n**2 + 12*n + 6. Let x(m) = -4*r(m) + 3*v(m). Factor x(i).
-4*i*(i + 3)*(4*i + 1)**2
Factor -21/2*b**2 - 52*b - 40 + 1/2*b**4 + 2*b**3.
(b - 5)*(b + 1)*(b + 4)**2/2
Suppose 86*q**2 - 32 - 49/2*q**5 + 48*q - 64*q**3 - 189/2*q**4 = 0. Calculate q.
-2, -1, 4/7
Let g = -526 - -529. Let n(z) be the first derivative of 0*z**2 + 6/35*z**5 + 0*z**4 + 1/14*z**6 - 7 + 0*z**g + 0*z. Factor n(p).
3*p**4*(p + 2)/7
Let g(m) be the third derivative of -m**5/250 + 13*m**4/300 - 4*m**3/75 + 20*m**2. Determine n, given that g(n) = 0.
1/3, 4
Let w(j) = -j**3 - 11*j**2 - 24*j + 4. Let u be w(-8). Suppose d + 4*q - 8 = 0, -u*d + 3*q - 4 - 2 = 0. Solve -t**3 - 1/3*t**2 + d*t + 4/3*t**4 + 0 = 0 for t.
-1/4, 0, 1
Let m(d) be the second derivative of -d**4/3 - 520*d**3/3 - 33800*d**2 - 279*d - 1. Factor m(t).
-4*(t + 130)**2
Solve -4*m - 6 - 1/2*m**2 = 0.
-6, -2
Let j(p) = 2*p - 13. Let a be j(9). Factor 6*i**3 - 1 + 3*i**2 + 3*i**2 - 6*i**5 - 3*i + 3*i**a - 3*i**4 - 2.
-3*(i - 1)**2*(i + 1)**3
Let d(p) be the second derivative of -p**6 - 55*p**5/4 - 285*p**4/4 - 315*p**3/2 - 135*p**2/2 + 17*p. Factor d(l).
-5*(l + 3)**3*(6*l + 1)
Let z be -5*(-4 - (-136)/40). Let o(r) be the first derivative of -3/2*r**2 + 0*r + r**z - 5. Factor o(s).
3*s*(s - 1)
Let d(y) = 35*y**4 + 35*y**3 - 35*y**2 - 5*y. Let g(k) = -24*k**2 - k**3 - k**4 - 23*k**2 + 48*k**2. Let u(t) = -d(t) - 30*g(t). Solve u(z) = 0.
-1, 0, 1
Let q(u) be the first derivative of -1/4*u**4 - u**2 + 13 - u**3 + 0*u. Factor q(f).
-f*(f + 1)*(f + 2)
Let z = 2588 + -2584. Let r(o) be the first derivative of 4*o**2 - 4/3*o**3 - 7 - z*o. Solve r(t) = 0.
1
Let p(o) = -o**4 + o**3 - o**2 - o + 1. Let n(l) = 7*l**4 - 12*l**3 + 7*l**2 + 2*l - 2. Let k = 20 - 21. Let d(t) = k*n(t) - 2*p(t). Factor d(v).
-5*v**2*(v - 1)**2
Factor -2/23*k**3 - 128/23*k**2 + 2/23*k + 128/23.
-2*(k - 1)*(k + 1)*(k + 64)/23
Suppose 10*r = 338 + 122. Let o = -42 + r. Determine x, given that -24/7*x + 0 - 30/7*x**3 + 18/7*x**o - 64/7*x**2 = 0.
-2/3, 0, 3
Let r(d) = 58*d - 3012. Let q be r(52). Solve 0*n**2 + 0*n + 14/3*n**q + 0 - 16/9*n**3 - 5/9*n**5 = 0 for n.
0, 2/5, 8
Let l(v) be the second derivative of -5*v**4 + 0 + 22*v + 1/4*v**5 + 0*v**3 + 0*v**2. Solve l(k) = 0 for k.
0, 12
Let g(n) = 38*n**2 + 75*n + 70. Let z(j) = -7*j**2 - 15*j - 14. Let m(d) = -2*g(d) - 11*z(d). What is h in m(h) = 0?
-14, -1
Let z = 5 + 0. Factor -g**3 + 10*g**4 - 3*g**3 + 8*g**4 + 14*g**z - 8*g**4.
2*g**3*(g + 1)*(7*g - 2)
Let o(k) be the second derivative of -5*k**4/48 - 65*k**3/24 - 15*k**2/2 - 28*k. Find x such that o(x) = 0.
-12, -1
Let o(i) be the first derivative of -10/7*i**3 - 250/7*i + 1/14*i**4 + 75/7*i**2 - 15. Factor o(n).
2*(n - 5)**3/7
Factor 0 - 36/5*y - 12/5*y**2 - 1/5*y**3.
-y*(y + 6)**2/5
Let h(q) = -23*q**3 + 73*q**2 - 120*q. Let y(z) = 8*z**3 - 24*z**2 + 40*z. Let v(b) = 4*h(b) + 11*y(b). Factor v(x).
-4*x*(x - 5)*(x - 2)
Solve -63*g**4 - 60*g**3 - 16*g - 67*g**4 + 56*g**2 + 148*g**4 = 0.
0, 2/3, 2
Let r(w) be the third derivative of w**6/280 + w**5/140 - w**4/28 + 6*w**2. What is h in r(h) = 0?
-2, 0, 1
Let n be -1 + (2 - (-3)/3). Let h(p) = -p**3 + p**2 + p + 3. Let d be h(0). Factor -n*m**2 - 24*m**4 - 46*m**2 + 3*m**5 + 0*m**5 + m**5 + 52*m**d + 16*m.
4*m*(m - 2)**2*(m - 1)**2
Let n be (5 - (0 + -3)) + (16 + -18 - 4). Find k such that -2/13*k**n + 8/13*k - 6/13 = 0.
1, 3
Let a(n) = 33*n - 36 + 0*n + 7*n - 7*n**2 - 42. Let s(k) = 8*k**2 - 40*k + 77. Let i(m) = -3*a(m) - 2*s(m). Determine x so that i(x) = 0.
4
Let w(i) be the first derivative of -1/9*i**3 + 1/60*i**5 - 1/36*i**4 + 0*i**2 - 5 - 4*i. Let b(d) be the first derivative of w(d). Factor b(m).
m*(m - 2)*(m + 1)/3
Find x such that -53868/7 + 54672/7*x + 3/7*x**3 - 807/7*x**2 = 0.
1, 134
Let w = -4 - -10. Suppose 34 = -w*f + 94. What is z in 19*z + 6 + 2*z**2 - z - f*z = 0?
-3, -1
Suppose 6*y - 3*f + 27 = y, -2*f + 5 = y. Let m be y + (68/11 - 3). Let 0 - 2/11*u**2 + 0*u - m*u**3 = 0. Calculate u.
-1, 0
Suppose -15*a + 24*a = -11*a. Factor a*h + 2/7*h**2 - 8/7.
2*(h - 2)*(h + 2)/7
Let c = 317 - 317. Let r(g) be the first derivative of -5 + c*g**2 - 14/25*g**5 + 4/15*g**3 + 0*g - 1/2*g**4. Suppose r(v) = 0. Calculate v.
-1, 0, 2/7
Let t(o) = -5*o**4 - 47*o**3 - 91*o**2 - 79*o - 30. Let u(j) = -5*j**4 - 45*j**3 - 90*j**2 - 80*j - 30. Let s(d) = 5*t(d) - 6*u(d). Factor s(h)