1*z**2/8 + 204*z. Factor n(v).
-(v - 31)*(v - 1)**3*(v + 2)/8
Let b(w) = -9*w**3 + 24*w**2 + 27*w + 6. Let n(a) be the third derivative of -a**6/120 + a**5/60 + a**4/24 + 20*a**2. Let k(p) = b(p) - 12*n(p). Factor k(j).
3*(j + 1)**2*(j + 2)
Let j(g) = -9*g - 6. Let w be j(-1). Determine p so that -p**4 + 11*p - 26*p + w*p**3 + 11*p = 0.
-1, 0, 2
Find n such that 2*n**2 + 4*n**3 + 1/5*n**5 + 8/5*n**4 - 21/5*n - 18/5 = 0.
-3, -2, -1, 1
Let s(c) = 2*c**2 + 18*c + 6. Let h be s(-9). Suppose -13*i**4 + 45*i**3 - h*i**2 + 27*i**2 + 54*i**4 - 2*i**4 + 12*i**5 + 3*i = 0. What is i?
-1, -1/4, 0
Let a(s) = s**2 - 7*s - 10. Let u(d) = -4*d**2 + 27*d + 40. Let i(g) = -9*a(g) - 2*u(g). Factor i(y).
-(y - 10)*(y + 1)
Solve -4/3*o - 2/3*o**4 - 8/3*o**3 + 0 - 10/3*o**2 = 0 for o.
-2, -1, 0
Let d(g) be the third derivative of g**3 + 9/20*g**5 + 3*g**2 + 0 + 0*g + 11/8*g**4. Suppose d(y) = 0. What is y?
-1, -2/9
Find u such that 16*u**3 + u**2 - 12*u**3 - 29*u**2 - 20 + 7*u + 37*u = 0.
1, 5
Let v(i) be the third derivative of -4*i**2 + 25/42*i**4 + 0 + 0*i**3 + 11/210*i**6 - 2/735*i**7 - 1/3*i**5 + 0*i. Find f, given that v(f) = 0.
0, 1, 5
Factor -14/3*c - 76/9 - 2/9*c**2.
-2*(c + 2)*(c + 19)/9
Let i(n) = -6*n**3 + 27*n**2 + 20*n - 31. Let d(f) = 7*f**3 - 29*f**2 - 20*f + 30. Let t(p) = -5*d(p) - 6*i(p). Suppose t(s) = 0. Calculate s.
-2, 1, 18
Let c be 226/105 + (-14)/(-105). Let d be (-44)/(-28) - (3 - 2). Factor -c + 16/7*o - d*o**2.
-4*(o - 2)**2/7
Let n(q) = -q**3 - 7*q**2 - 19*q - 132. Let h be n(-7). Let a(d) = -1 + 0*d + 0*d - d**2. Let k(z) = 6*z**2 - 2*z + 4. Let t(r) = h*k(r) + 4*a(r). Factor t(p).
2*p*(p - 1)
Let z(n) = n**2 - 11. Let w be z(4). Suppose -i + 2*i - 2 = -2*m, 2*m - 10 = -w*i. Suppose -4/7*y**2 + m - 2/7*y**3 - 2/7*y = 0. What is y?
-1, 0
Find f such that 248/3*f + 26*f**3 + 656/9*f**2 + 2/9*f**5 + 32 + 4*f**4 = 0.
-6, -4, -1
Let c(d) be the second derivative of d**5/210 - 2*d**4/21 + 16*d**3/21 - d**2/2 + 2*d. Let k(o) be the first derivative of c(o). Factor k(v).
2*(v - 4)**2/7
Let j(o) be the second derivative of 0 + 0*o**2 + 1/30*o**4 - 1/75*o**6 - 2/105*o**7 + 1/25*o**5 + 10*o + 0*o**3. Let j(l) = 0. Calculate l.
-1, -1/2, 0, 1
Let a be (-1)/20 + (-2)/(-8). Let r = 7790 - 38948/5. Find s such that a*s**5 - r*s**2 + 0*s + 0 + 2/5*s**4 - 1/5*s**3 = 0.
-2, -1, 0, 1
Suppose -v = -4*z + 37, -3*v - 7 + 66 = 5*z. Let f = -4 + 7. Factor f*j**5 + 4*j**3 + z*j**3 - 11*j**3 - 6*j**4.
3*j**3*(j - 1)**2
Let z(i) be the second derivative of i**6/30 + i**5/4 - 11*i**4/6 - 58*i**3/3 - 60*i**2 + 305*i. Suppose z(a) = 0. Calculate a.
-6, -2, 5
Let h(n) be the first derivative of -n**4/36 + 2*n**3/9 - n**2/2 - 20*n - 37. Let j(g) be the first derivative of h(g). Factor j(v).
-(v - 3)*(v - 1)/3
Let l(w) be the third derivative of 1/192*w**6 - 1/80*w**5 + 0 + 0*w + 0*w**4 + 3*w**2 + 0*w**3 - 1/1680*w**7. Determine z so that l(z) = 0.
0, 2, 3
Let b be (-2 + (-12)/(-5))*25/10. Suppose 0 = 5*h - z + b, 4*h = -z + 1 - 0. Let 2/3*a**2 - 2*a + h = 0. Calculate a.
0, 3
Let x = 31 + 11. Solve 230*a**2 + 258*a + 125 + 60*a**3 + x*a + 17*a**4 - 12*a**4 = 0.
-5, -1
Let s(r) be the second derivative of r**7/2520 + 13*r**6/540 + 169*r**5/360 - 15*r**3/2 + 19*r. Let y(p) be the second derivative of s(p). Solve y(z) = 0.
-13, 0
Let t = 10282/21 + -1333/3. Let s = t + -45. Find b such that 0*b - s*b**5 + 2/7*b**3 + 0 + 2/7*b**4 - 2/7*b**2 = 0.
-1, 0, 1
Find t such that -2/7*t**5 - 16*t**4 + 4/7*t**2 - 216/7*t**3 + 108/7 + 218/7*t = 0.
-54, -1, 1
Let a(k) be the third derivative of 2*k**7/175 + 39*k**6/200 - 39*k**5/50 - 247*k**4/40 + 33*k**3/5 - 471*k**2 - k. Suppose a(u) = 0. What is u?
-11, -2, 1/4, 3
Let v(x) be the second derivative of -x**5/4 - 5*x**4/6 + 5*x**3/2 - 53*x + 1. Factor v(d).
-5*d*(d - 1)*(d + 3)
Factor -4/9*y**2 + 2/9 + 2/9*y**4 - 4/9*y**3 + 2/9*y + 2/9*y**5.
2*(y - 1)**2*(y + 1)**3/9
Let l(p) be the second derivative of 1/30*p**7 + 13/60*p**4 + 0 + 27/100*p**5 + 23/150*p**6 + 0*p**2 - 13*p + 1/15*p**3. Factor l(w).
w*(w + 1)**3*(7*w + 2)/5
Let -4*a**2 - 35*a**2 + 0*a**2 - 12*a**3 + 12 + 39*a + 0*a**3 = 0. Calculate a.
-4, -1/4, 1
Solve -38/7*b**2 - 12/7*b**3 + 6*b + 8/7 = 0.
-4, -1/6, 1
Let j(x) be the second derivative of x**6/360 + x**5/12 + 25*x**4/24 - 2*x**3 - 9*x. Let z(g) be the second derivative of j(g). Solve z(y) = 0.
-5
Let n = -2 + -6. Let t = n + 19/2. Factor 0 - 3/2*l + t*l**2.
3*l*(l - 1)/2
Suppose 14*w = -16*w + 150. Let l(t) be the second derivative of 1/10*t**w + 0*t**3 + 1/6*t**4 + 2*t + 0*t**2 + 0. Suppose l(r) = 0. What is r?
-1, 0
Solve -27 - 1/3*g**5 - 63*g - 22*g**3 - 54*g**2 - 13/3*g**4 = 0.
-3, -1
Let s(r) = 3*r**4 + 9*r**3 - 3*r**2 - 11*r - 2. Let h(f) = 3*f**4 + 9*f**3 - 3*f**2 - 12*f - 3. Let o(k) = -2*h(k) + 3*s(k). Factor o(t).
3*t*(t - 1)*(t + 1)*(t + 3)
Suppose -5*g + 4*g = 0. Suppose 3*z - 2*z + 3*v + 7 = g, -5*z = -2*v - 16. Solve -3*c + 6*c + 2 - c - z*c**2 - 2*c**3 = 0.
-1, 1
Let i(m) be the third derivative of -m**6/420 - m**5/70 + m**4/84 + m**3/7 - 20*m**2 - 2. Factor i(a).
-2*(a - 1)*(a + 1)*(a + 3)/7
Let g(h) be the third derivative of 0*h - 1/280*h**6 - 1/168*h**4 + 8*h**2 + 0 + 1/84*h**5 - 1/42*h**3. What is a in g(a) = 0?
-1/3, 1
Let u(a) be the second derivative of a**6/90 + a**5/30 - a**4/3 + 5*a**3/2 - 8*a. Let z(y) be the second derivative of u(y). Factor z(r).
4*(r - 1)*(r + 2)
Suppose 4*u = 3*u. Let a(z) = z. Let n be a(u). Determine g, given that n*g + 0*g**2 + 2*g**3 + 0*g - 2*g**2 = 0.
0, 1
Let v(i) = 21*i**5 + 5426*i**4 + 467496*i**3 + 13490302*i**2 + 3816338*i + 2. Let t(o) = o**4 - o**2 + o + 1. Let y(j) = 2*t(j) - v(j). Factor y(r).
-3*r*(r + 86)**3*(7*r + 2)
Let m be (-12 - -14) + -366 + 1. Let x = 2545/7 + m. Factor -x*t**2 - 4/7*t + 0.
-4*t*(t + 1)/7
Let f(m) be the second derivative of 1/126*m**7 - 4*m + 0*m**4 + 0*m**2 + 0*m**3 + 0*m**5 + 0 + 0*m**6. Factor f(p).
p**5/3
Let r(s) be the second derivative of -s**4/36 - s**3/3 - 3*s**2/2 + 3*s + 12. Let r(n) = 0. Calculate n.
-3
Let s be 8/3*(2/(-8) + 4). Determine f, given that -s + 3 + 12*f**4 + 7 - 3*f**3 = 0.
0, 1/4
Let v(j) be the first derivative of -4*j**6/27 - 16*j**5/45 + 19*j**4/18 + 46*j**3/27 + 2*j**2/3 - 136. Determine l so that v(l) = 0.
-3, -1/2, 0, 2
Let g be ((-24)/(-45))/(5/60*(-1 + 3)). Suppose 0 + 8/5*o**2 - 1/5*o**3 - g*o = 0. Calculate o.
0, 4
Let p = -2620 - -2622. Factor 0 + 0*v**p + 0*v - 2/7*v**4 + 6/7*v**5 - 4/7*v**3.
2*v**3*(v - 1)*(3*v + 2)/7
Let n(l) be the first derivative of -l**3/6 - 3*l**2/2 - 5*l/2 + 261. Solve n(p) = 0 for p.
-5, -1
Let u = -82033/22 + 3728. Let h = u + 36/11. Find p such that 0 - p**2 + 9/2*p**3 + h*p**5 - 6*p**4 + 0*p = 0.
0, 2/5, 1
Suppose -7 = -3*a - 2*l - 3, 8 = -3*a - 5*l. Let n(i) be the second derivative of -1/30*i**a + 2/5*i**2 + 0 - 1/15*i**3 - 5*i. Solve n(c) = 0.
-2, 1
Let v(f) = f**2 + 9*f - 14. Let g(y) = 0*y - 3*y + 7 - 3 + 1. Let l = 7 + -11. Let m(t) = l*v(t) - 11*g(t). Factor m(j).
-(j + 1)*(4*j - 1)
Let y(q) = 2*q**3 + q**2 - q. Let d(t) = -6*t**4 + 33*t**3 - 63*t**2 + 30*t. Let o(r) = -d(r) - 3*y(r). What is k in o(k) = 0?
0, 1, 9/2
Suppose -2688*m - 1581 - 4*m**3 - 4245 - 200*m**2 + 1218 = 0. What is m?
-24, -2
Let r(v) = v**2 + 2*v + 1. Let j(n) = 3*n**2 - 8*n + 22. Let x(s) = 3*j(s) - 6*r(s). Factor x(u).
3*(u - 10)*(u - 2)
Let n(q) be the third derivative of -q**6/48 - 3*q**5/4 - 25*q**4/4 + 250*q**3/3 - 267*q**2. What is l in n(l) = 0?
-10, 2
Suppose 20 = -4*t, 4*o + t - 23 = 4*t. Let y be 1 - -2*(-3)/(-6). Find a such that 4*a**y + 6*a**3 + 0*a**o - 7*a**2 - 3*a**4 = 0.
0, 1
Let p(w) = -2*w**4 - 7*w**3 - 48*w**2 + 115*w - 67. Let a(m) = 2*m**4 + 13*m**3 + 96*m**2 - 229*m + 133. Let r(g) = 3*a(g) + 5*p(g). What is q in r(q) = 0?
-4, 1, 2
Let n(y) be the third derivative of -1/48*y**4 - 1/360*y**5 + 0*y - 24*y**2 + 0 + 0*y**3. Factor n(z).
-z*(z + 3)/6
Let i(s) be the first derivative of -5*s**6/6 + 15*s**5 - 135*s**4/2 - 180*s**3 + 1620*s**2 - 23. Factor i(d).
-5*d*(d - 6)**3*(d + 3)
What is k in -136/9*k**2 + 0 + 4/9*k**5 + 3*k + 221/9*k**3 - 116/9*k**4 = 0?
0, 1/2, 1, 27
Let g(l) = l**3 + 9*l**2 - 11*l - 5. Let n be g(-10). Factor 1 - n - 11*r - 3*r**2 + 20*r - 2.
-3*(r - 2)*(r - 1)
Let m(j) be the third derivative of -j**5/130 - 419*j**4/78 - 93*j**3/13 