c*(c - 1)/9
Let j(q) be the third derivative of 0*q**4 + 0 + q**2 + 0*q + 0*q**5 + 1/1155*q**7 + 1/1848*q**8 + 0*q**6 + 0*q**3. Factor j(s).
2*s**4*(s + 1)/11
Let u be (3/(-27))/(6/(-18)). Find x, given that u*x**2 - 2/3 + 1/3*x = 0.
-2, 1
Factor -2/15*y**2 + 8/15 + 0*y.
-2*(y - 2)*(y + 2)/15
Let r(g) = -8*g + 2 + 4*g**3 + g**5 - 4*g**4 + 2*g**3 + 5*g**2 + 0 - 5. Let a(q) = q**5 - q**2 - 1. Let d(o) = 3*a(o) - r(o). What is m in d(m) = 0?
-2, 0, 1
Factor -3 + 1/2*v**2 + 1/2*v.
(v - 2)*(v + 3)/2
Factor -5/2*t**2 + 0*t + 5/2.
-5*(t - 1)*(t + 1)/2
Determine j, given that 136*j**2 - 472 - 5324*j**5 - 1584*j**3 + 472 + 6776*j**4 - 4*j = 0.
0, 1/11, 1
Let n(k) be the third derivative of 0*k**3 + 0 + 1/8*k**6 + 1/70*k**7 - 3/112*k**8 - 1/4*k**4 + 3*k**2 - 1/20*k**5 + 0*k. Determine z so that n(z) = 0.
-1, -2/3, 0, 1
Suppose -f + 3*i - 2 = 0, -3*f = -5*i + 4 - 6. Suppose -f*j - 5 + 13 = 0. Factor 2*s**5 + s**3 + j*s**4 - s**3 - 4*s**4.
2*s**4*(s - 1)
Let h = -15 - -23. Factor -i**2 + 6*i**2 + h*i**3 + i - 3*i**4 - 9*i**3 - 2.
-(i - 1)*(i + 1)**2*(3*i - 2)
Let h(q) be the second derivative of q**6/225 - q**4/30 - 2*q**3/45 + q. Factor h(s).
2*s*(s - 2)*(s + 1)**2/15
Let y(h) be the second derivative of -1/10*h**6 - 1/10*h**5 - h + 1/3*h**4 + 0*h**3 + 0 + 1/21*h**7 - 1/2*h**2. Determine d so that y(d) = 0.
-1, -1/2, 1
Let q be 16/10 + 4/10. Let f = 1 - 1. Solve -4*u**2 - q*u**2 + f - 2 - 6*u - 2*u**3 = 0.
-1
Factor -m**2 - 1/4*m**3 - m + 0.
-m*(m + 2)**2/4
Let s be -7 + (-245)/(-28) + (-2)/8. Let u(j) be the first derivative of 1/4*j**4 - 2*j - s*j**2 + 0*j**3 + 2. Factor u(c).
(c - 2)*(c + 1)**2
Let h(i) be the first derivative of -7*i**6/9 - 52*i**5/15 - 17*i**4/3 - 32*i**3/9 + i**2/3 + 4*i/3 + 10. Factor h(c).
-2*(c + 1)**4*(7*c - 2)/3
Let b = 0 - -2. Suppose 7 - 2*x**2 - 1 - 3*x**3 + 9*x + b*x**2 = 0. Calculate x.
-1, 2
Let o(p) be the second derivative of 0 - 1/2*p**3 - 3*p + 0*p**2 + 1/8*p**4. Factor o(r).
3*r*(r - 2)/2
Let l(b) = b - 2. Let y be l(4). Factor j - 2 + 2*j - j**2 - y*j - 4*j.
-(j + 1)*(j + 2)
Factor -3*c + 3*c**3 - 2 + 3 + 0*c + 2*c**4 - 2 - c**2.
(c - 1)*(c + 1)**2*(2*c + 1)
Let s(w) be the third derivative of w**6/600 - w**5/60 + w**4/15 - 2*w**3/15 - w**2. Factor s(h).
(h - 2)**2*(h - 1)/5
Let u(j) be the second derivative of 7/30*j**4 + j - 4/5*j**2 - 4/5*j**3 + 0. Let u(c) = 0. Calculate c.
-2/7, 2
Let p(c) = c**4 - c**3 + c**2 + c + 1. Let z(t) = 3*t**4 - 4*t**3 + 4*t**2 + 4*t + 4. Let s = 5 + -7. Let v = 3 + s. Let y(w) = v*z(w) - 4*p(w). Factor y(f).
-f**4
Suppose z = -5*s, z = 6*z - 3*s - 28. Let -1/5 + 8/5*p**3 - 1/5*p**4 - 4/5*p - 4/5*p**z + 2/5*p**2 = 0. What is p?
-1, -1/4, 1
Let m(v) be the first derivative of v**7/1680 - v**6/360 + v**5/240 - 4*v**3/3 - 4. Let i(y) be the third derivative of m(y). Find b such that i(b) = 0.
0, 1
Let d(t) be the third derivative of -t**8/3192 + t**6/285 - t**5/285 - t**4/76 + 2*t**3/57 + 12*t**2. Find c such that d(c) = 0.
-2, -1, 1
Let d(a) = a**2 + 61*a - 191. Let u(i) = -2*i**2 - 152*i + 478. Let h(z) = -12*d(z) - 5*u(z). Factor h(l).
-2*(l - 7)**2
Let m(d) be the third derivative of -d**9/1260 + d**8/448 + d**7/120 - d**6/120 - d**4/6 + 2*d**2. Let o(n) be the second derivative of m(n). Solve o(w) = 0.
-1, 0, 1/4, 2
Let c(n) be the third derivative of n**7/1260 + n**6/90 + n**5/15 - 5*n**4/24 + n**2. Let u(b) be the second derivative of c(b). Solve u(s) = 0 for s.
-2
Let k(w) be the second derivative of 0*w**3 + 1/24*w**4 + 0 + 3*w + 0*w**2. Find p, given that k(p) = 0.
0
Let o(c) = 20*c**2 - 54*c - 74. Let k(z) = -4*z**2 + 11*z + 15. Let f(u) = -14*k(u) - 3*o(u). Find d such that f(d) = 0.
-1, 3
Factor -13 + 2*l + 25 - 11 + l**2.
(l + 1)**2
Let q = -758 - -758. Determine i, given that -3/4*i - i**2 + q - 1/4*i**3 = 0.
-3, -1, 0
Let g = -20 + 22. Factor -4 - 110*o**3 + 2*o**g + 111*o**3 - o + 2.
(o - 1)*(o + 1)*(o + 2)
Let b(y) be the third derivative of y**6/840 - 5*y**3/6 + 2*y**2. Let f(h) be the first derivative of b(h). Suppose f(i) = 0. Calculate i.
0
Let u(q) be the third derivative of q**5/120 + 5*q**4/48 - 18*q**2. Suppose u(d) = 0. What is d?
-5, 0
Solve 2*u**4 - 8 + 44*u**3 - 2*u**5 - 8*u - 8*u - 34*u**3 - 2*u**2 = 0.
-1, 2
Let a be (-7 - -10) + (2 + -1)*-3. Factor 1/3*m**2 + a*m - 1/3.
(m - 1)*(m + 1)/3
Let y(k) be the first derivative of 2/5*k**5 + 14/3*k**3 - 3*k**2 + 7 - 5/2*k**4 + 0*k. Factor y(h).
2*h*(h - 3)*(h - 1)**2
Factor 10*c - 14*c + 7*c + 2*c**2 + 3*c.
2*c*(c + 3)
Let r(p) be the second derivative of 0*p**4 - 1/10*p**5 - 2/15*p**6 + 3*p + 0*p**2 + 0*p**3 + 0 - 1/21*p**7. Factor r(o).
-2*o**3*(o + 1)**2
Let q(y) be the second derivative of -1/80*y**5 + y - 1/24*y**4 + 1/4*y**2 + 0 + 1/24*y**3. Find p, given that q(p) = 0.
-2, -1, 1
Let l = 157/98 - 5/49. Factor 9/4*j**3 + 3/4*j**2 - l*j + 0.
3*j*(j + 1)*(3*j - 2)/4
Let f be (-10)/(-25) - (2 - (-16)/(-10)). Factor f*u - 6/11*u**3 + 0 - 4/11*u**2.
-2*u**2*(3*u + 2)/11
Factor -12/5*v - 2/5*v**2 + 14/5.
-2*(v - 1)*(v + 7)/5
Let t(l) be the second derivative of 2*l**6/75 - l**5/25 - 8*l**4/15 + 8*l**3/5 - 35*l. Let t(p) = 0. Calculate p.
-3, 0, 2
Let o = 598157083082/1237 + -483554588. Let f = o + 2/3711. Solve 98/3*y**4 + 8/3 + f*y**3 - 40/3*y - 2*y**2 = 0.
-1, 2/7
Let m(a) be the first derivative of 2 + 0*a**2 + 2/27*a**3 - 1/18*a**4 + 0*a. Factor m(t).
-2*t**2*(t - 1)/9
Let o(n) be the second derivative of n**5/40 - n**3/12 + 37*n. Determine a, given that o(a) = 0.
-1, 0, 1
Let n(z) be the third derivative of -z**5/105 - z**4/21 - 2*z**3/21 + 12*z**2. Determine d so that n(d) = 0.
-1
Suppose 0*a - 2/3*a**2 + 2/3*a**4 - 2/3*a**3 + 0 + 2/3*a**5 = 0. What is a?
-1, 0, 1
Find d such that 486/5 - 147/5*d**3 + 93*d**2 + 1107/5*d + 9/5*d**4 = 0.
-1, -2/3, 9
Let q(c) be the second derivative of c**4/3 + 22*c**3/3 - 30*c. Solve q(g) = 0 for g.
-11, 0
Let d = -5 + 8. Find v such that 17*v + 60*v**2 - 3*v**d - 6 + 3*v**4 - 69*v**2 - 5*v + 3*v = 0.
-2, 1
Let d(m) = -3*m**3 + 3*m**2 - 6. Let r(y) = -y**2 + 1. Let z(h) = -d(h) - 6*r(h). Factor z(o).
3*o**2*(o + 1)
Let t(i) = -i**3 + 2*i**2 + 1. Let w be t(2). Suppose 6*o + 2*o**2 - 2 + w + 5 = 0. Calculate o.
-2, -1
Let z(a) be the first derivative of -3/16*a**4 + 3*a - 3 - 3/4*a**3 + 0*a**2. Factor z(x).
-3*(x - 1)*(x + 2)**2/4
Let w(p) be the first derivative of -1 - 1/9*p**3 + 2/3*p + 1/6*p**2. Factor w(z).
-(z - 2)*(z + 1)/3
Let v(x) be the third derivative of -x**6/720 - x**5/360 + x**4/72 + 2*x**2. Factor v(w).
-w*(w - 1)*(w + 2)/6
Factor -6*v + 16*v + 2050*v**2 - 40 - 2045*v**2.
5*(v - 2)*(v + 4)
Let s(l) be the first derivative of -7/4*l**2 - 5/6*l**3 + 1 - l. Find r such that s(r) = 0.
-1, -2/5
Let d(g) be the first derivative of -g**6/45 - g**5/10 - g**4/6 - g**3/9 + 6*g + 2. Let h(x) be the first derivative of d(x). Factor h(v).
-2*v*(v + 1)**3/3
Let g = 1768 - 265199/150. Let l(i) be the third derivative of 3*i**2 + 0*i**4 - 1/15*i**3 + 0 + g*i**5 + 0*i. Factor l(b).
2*(b - 1)*(b + 1)/5
Let v = -12 - -15. Suppose -4*d - 7*r = -2*r + 12, -d + 14 = -v*r. Factor -18*q + 81/2*q**2 + d.
(9*q - 2)**2/2
Suppose 14 = y + 3*t, 4*t - 26 = -3*y - t. Suppose 3*g - 8 = -g - 4*h, -y*g = 5*h + 2. Factor -6*q + 4 + 3*q**4 - 7 + 6*q**3 + 0*q**g.
3*(q - 1)*(q + 1)**3
Suppose -d = -0*d. Suppose d = q + 4*q. Let 2/9*y**2 + 2/9*y + q = 0. What is y?
-1, 0
Factor -3/2*a**2 - 1/2*a**4 + 5/2*a**3 + 2 - 5/2*a.
-(a - 4)*(a - 1)**2*(a + 1)/2
Suppose 0 = c - 2 - 0. Suppose 44*i**3 + 120*i + 241*i**c + 54*i**3 + 11*i**2 + 16 = 0. What is i?
-2, -2/7
Let d = 73/195 - -1/39. Find j such that 0*j - 2/5*j**2 + d = 0.
-1, 1
Let q(w) be the first derivative of 3 + 0*w**3 - 2/5*w**5 + 0*w**2 + 1/4*w**4 + 0*w + 1/6*w**6. Suppose q(t) = 0. What is t?
0, 1
Let g(y) be the second derivative of -y**9/504 + y**8/210 + y**7/84 - y**6/90 + y**3 + 5*y. Let o(l) be the second derivative of g(l). Solve o(a) = 0 for a.
-1, 0, 1/3, 2
Let w(z) = z**2 + 2*z - 2. Let d be w(-3). Let a be d/1 + 1 - 0. Factor 2 + 0 - o**a + 2*o - 3.
-(o - 1)**2
Suppose 5*b + 3 = 6*b. Let f be ((-11)/22)/(b/(-4)). Determine w so that 2/9*w**2 + 2/3*w**3 + 0 + f*w**4 + 0*w + 2/9*w**5 = 0.
-1, 0
Let n(o) = o**3 - 7*o**2 + 7*o - 1. Let c be n(6). Determine s so that -4*s - c*s - 2*s**2 + s**3 + s**3 + 5*s = 0.
-1, 0, 2
Let -3/2*o 