q - 857.
-(q - 11)*(q - 4)
Suppose -46*z + 49*z = 9. Factor 3*y - y - y**3 - y**z.
-2*y*(y - 1)*(y + 1)
Suppose 4*i = 2*i. Suppose 19*v - 18 - 39 = 0. Factor 0*o**2 + 0*o**v - 2/3*o**4 + 0 + 2/3*o**5 + i*o.
2*o**4*(o - 1)/3
Let i be ((-40)/24)/((-5)/(-18)). Let w be 2*2 - (i + 8)*1. Let 2/11*u**w + 20/11*u + 50/11 = 0. What is u?
-5
Let x = -10 + 9. Let v be x/(-2)*(-28)/(-7). Factor 4*n**v - 2*n**2 + 2*n - 2*n + 4*n.
2*n*(n + 2)
Factor -9589106 - 895*o**2 + 53353298 - 4*o**3 - 591408*o + 2007*o**2 - 542*o**2 + 2094*o**2.
-4*(o - 222)**3
Let q(p) be the third derivative of -p**8/13440 + p**7/2520 - p**6/1440 + p**5/10 - 7*p**2. Let t(a) be the third derivative of q(a). Factor t(j).
-(j - 1)*(3*j - 1)/2
Let z(p) be the second derivative of -5*p**3/6 - 14*p**2 + 52*p. Let w be z(-6). Let -3/4 - 1/4*q**w + q = 0. What is q?
1, 3
Let x(m) = 2214*m**2 - 846*m + 80. Let s(u) = -4431*u**2 + 1694*u - 160. Let k(w) = 3*s(w) + 7*x(w). Factor k(n).
5*(21*n - 4)**2
Suppose 4*d = -4*a + 16, 3*a - 2*a = d. Factor 11*b**3 - 30 - 55*b - 21*b**2 - 6*b**3 + b**d.
5*(b - 6)*(b + 1)**2
Let x = 584/5 + -23359/200. Let k(y) be the third derivative of 0*y**3 + 0*y**4 + 0 - x*y**6 + 0*y + 2*y**2 + 1/50*y**5. Solve k(j) = 0.
0, 2
Factor 3/2*j**2 - 5/2 - 7*j.
(j - 5)*(3*j + 1)/2
Let l(t) be the first derivative of t**5/110 - t**3/11 + 2*t**2/11 + 2*t + 8. Let z(c) be the first derivative of l(c). Factor z(n).
2*(n - 1)**2*(n + 2)/11
Suppose -4*l - 7 = -5*n, 2 = 63*l - 65*l + 2*n. Find h such that 13/5*h - 21/5*h**3 - 2*h**l + 2/5 = 0.
-1, -1/7, 2/3
Suppose 27*f = -20833 + 20887. Factor -1/4*d**f - 25/4 + 5/2*d.
-(d - 5)**2/4
Let h = 6369229/30894 - -14/5149. Let d = -206 + h. Factor 1/6 - d*m**2 + 0*m.
-(m - 1)*(m + 1)/6
Let u = -13519 + 13523. Determine i, given that 2/3*i - 4/3*i**u + 0*i**3 - 2/3*i**5 + 0 + 4/3*i**2 = 0.
-1, 0, 1
Let s be (312/96)/(1/4). Determine v, given that -6*v + 0*v + s*v**2 - 2*v - 6 - 15*v**2 = 0.
-3, -1
Suppose -95 = 5*w - 465. Suppose 5*u - 101 - w = 0. Solve 112*y + 24*y**2 - 324*y**4 - 16 - u*y**2 - 504*y**3 - 41*y**2 = 0 for y.
-1, 2/9
Let s = 49 - -51. Suppose 0 = 4*x + 3*a + 17 - s, 2*a + 24 = 2*x. Suppose -9*o + x*o - 3*o**2 - 4 - 2*o**2 + 2*o**2 = 0. What is o?
2/3, 2
Let l(z) be the third derivative of -z**6/30 - 17*z**5/15 - 44*z**4/3 - 96*z**3 - 18*z**2 + z. Factor l(t).
-4*(t + 4)**2*(t + 9)
Let b(l) be the second derivative of l**6/1620 - l**5/135 + l**4/27 - 2*l**3/3 + 2*l. Let h(j) be the second derivative of b(j). Factor h(s).
2*(s - 2)**2/9
Let l(m) be the third derivative of m**7/70 - m**6/10 - 3*m**5/10 + m**4/2 + 5*m**3/2 - 2*m**2 - 38. Find t, given that l(t) = 0.
-1, 1, 5
Let m = 196/11 + -381/22. Let y = 0 + 2. Factor m + l**3 - l + 0*l**y - 1/2*l**4.
-(l - 1)**3*(l + 1)/2
Factor -11045/4 - 5/4*n**2 - 235/2*n.
-5*(n + 47)**2/4
Let c(p) = 5*p**3 - p**2 - p - 3. Suppose -3*y - 2*t = 2*y - 13, 0 = 4*y - 3*t - 15. Let r(s) = -6*s**3 + s**2 + s + 4. Let g(o) = y*r(o) + 4*c(o). Factor g(x).
x*(x - 1)*(2*x + 1)
Suppose -12*p - 20 = -32. Let a be -4 + -6 + p + 9. Solve a*s**4 + 4/3*s**3 - 4/9*s**5 + 0*s - 8/9*s**2 + 0 = 0.
-2, 0, 1
Let w = 328 - 326. Let k(g) be the first derivative of -2/5*g**5 - 1/3*g**6 + 0*g**w + 0*g**3 + g**4 + 0*g - 1. Factor k(s).
-2*s**3*(s - 1)*(s + 2)
Let m be -2 + 2 - (-7 - 136/(-24)). Let c(f) be the first derivative of -2 + m*f**3 + 4/5*f**5 - 8*f + 3*f**4 - 6*f**2. Factor c(b).
4*(b - 1)*(b + 1)**2*(b + 2)
Let u be (-42)/(-357)*(-2)/(-12). Let m(z) be the first derivative of -4/17*z**2 - 3 - u*z**6 + 3/34*z**4 + 8/51*z**3 + 0*z - 4/85*z**5. Factor m(v).
-2*v*(v - 1)**2*(v + 2)**2/17
Let k(h) = 16*h**3 + 17*h**2 - 95*h - 27. Let s(w) = 16*w**3 + 18*w**2 - 94*w - 26. Let i(n) = 2*k(n) - 3*s(n). Suppose i(u) = 0. What is u?
-3, -1/4, 2
Let b(r) = r**2 - 7*r + 9. Let h be b(6). Let p = h + 9. Solve -p*u**2 + 2*u + 27*u**4 + 2*u - 4*u = 0.
-2/3, 0, 2/3
Let w be (-5 + 1)/(-4)*4. Factor -4*r**2 - 8*r**4 - w*r**5 + 14*r**4 + 2*r**3 + 14*r**5 + 10*r**4.
2*r**2*(r + 1)**2*(5*r - 2)
Let x(z) = 6*z**3 + 48*z**2 + 57*z - 15. Let o(c) = c**3 + 7*c**2 + 8*c - 2. Let n(d) = -15*o(d) + 2*x(d). Factor n(r).
-3*r*(r + 1)*(r + 2)
Determine l, given that -2 + 22/5*l - 4/5*l**2 - 4*l**3 - 2/5*l**5 + 14/5*l**4 = 0.
-1, 1, 5
Suppose 3*j - 6*j = 0. Factor j + 0*l**2 + 8/5*l**4 - 8/5*l**3 + 0*l - 2/5*l**5.
-2*l**3*(l - 2)**2/5
Let u(w) be the third derivative of 6*w**7/35 + 373*w**6/40 + 11*w**5/10 - 277*w**4/8 + 31*w**3 - 286*w**2. Let u(a) = 0. What is a?
-31, -1, 1/4, 2/3
Let -124*f - 73 - 115*f - 166 + 4*f**2 - 13 - 9*f = 0. Calculate f.
-1, 63
Let k(h) be the third derivative of h**6/630 + 2*h**5/105 + h**4/14 + 13*h**3/6 + 10*h**2. Let f(n) be the first derivative of k(n). Factor f(p).
4*(p + 1)*(p + 3)/7
Let h be (-84)/9*9/(-24)*(-8)/(-42). Let -h*r - 1 + 1/3*r**2 = 0. Calculate r.
-1, 3
Let y = 249 + -247. Let v(c) be the third derivative of -1/300*c**5 + 0 + 2*c**y + 0*c**3 - 1/60*c**4 + 0*c. Find o, given that v(o) = 0.
-2, 0
Factor r + 3*r**3 - 691*r**4 + 3*r**2 + r - r + 692*r**4.
r*(r + 1)**3
Find j, given that 40*j**2 - 27*j**3 - 18*j**4 + 24*j**3 + j**5 + 50*j**2 + 2*j**5 = 0.
-2, 0, 3, 5
Let m(x) be the first derivative of -1/6*x**4 + x + 1/10*x**5 - 2/3*x**3 + 0*x**2 + 3. Let p(q) be the first derivative of m(q). Determine j so that p(j) = 0.
-1, 0, 2
Factor -5/3*j**2 - 4/3 - 1/3*j**3 - 8/3*j.
-(j + 1)*(j + 2)**2/3
Let g(t) = t**2 + 17*t + 2. Let p be g(-17). Factor -12*f - f**2 - 6*f**2 - 4*f**3 - 5*f**p - 78 + 74.
-4*(f + 1)**3
Let h = -32 - -36. Let -2*z - z**3 - 3*z + 3*z - z**3 - h*z**2 = 0. What is z?
-1, 0
Let i(t) = 2*t**3 - 103*t**2 + 53*t - 102. Let b be i(51). Let x(w) be the first derivative of 1/2*w**4 + b*w + 0*w**3 + 0*w**2 - 7. Factor x(k).
2*k**3
Let l be (-8)/(-20)*225/1080. Factor -1/3 + 0*y + l*y**3 + 1/4*y**2.
(y - 1)*(y + 2)**2/12
Let m(i) be the third derivative of -17*i**2 + 0 + 0*i - 1/90*i**6 + 7/45*i**5 + 10/9*i**3 - 11/18*i**4. Factor m(r).
-4*(r - 5)*(r - 1)**2/3
Let p(n) be the first derivative of 3*n**5/40 - 13*n**4/32 + n**3/2 + 3*n**2/4 - 2*n - 162. What is y in p(y) = 0?
-1, 4/3, 2
Let u(p) be the second derivative of -p**7/42 - 4*p**6/15 + 21*p**5/10 - 17*p**4/3 + 47*p**3/6 - 6*p**2 + 25*p. Let u(o) = 0. What is o?
-12, 1
Let c(q) be the second derivative of 3*q + 0 - q**3 - 2*q**2 - 1/6*q**4. Determine n, given that c(n) = 0.
-2, -1
Let f(w) be the first derivative of w**6/6 + 11*w**5/4 + 15*w**4 + 40*w**3/3 + 2*w**2 + 11*w + 51. Let a(h) be the second derivative of f(h). Factor a(v).
5*(v + 4)**2*(4*v + 1)
Let v(h) be the first derivative of 0*h + 2/5*h**5 + 17 - 1/2*h**4 - 2/3*h**3 + h**2. Factor v(d).
2*d*(d - 1)**2*(d + 1)
Let q(v) = 4*v**4 + 24*v**2 + 4*v. Suppose -5*y + 7 + 8 = 0. Let i(b) = -b**2 - 5*b**3 + 4*b**y + 2*b**3. Let m(f) = -12*i(f) - q(f). Factor m(s).
-4*s*(s + 1)**3
Determine f so that -1392*f**2 + 1391*f**2 + f**3 + 0*f**3 = 0.
0, 1
Let l(c) = -7*c**2 - 50*c - 125. Let q(j) = -22*j**2 - 150*j - 375. Let z(d) = 7*l(d) - 2*q(d). Let z(b) = 0. Calculate b.
-5
Let z(a) be the first derivative of a**6/12 - 9*a**5/10 + 13*a**4/4 - 17*a**3/3 + 21*a**2/4 - 5*a/2 + 8. Solve z(b) = 0 for b.
1, 5
Let z(p) = p**4 + p**3 - 2*p**2 + 2*p - 1. Let y(j) = 3*j**5 - 4*j**3 + j**2 - 2*j + 1. Let n(r) = y(r) + z(r). Solve n(w) = 0 for w.
-1, -1/3, 0, 1
Let q = 0 + 0. Let l = 155 + -152. Factor 1 - m**2 + q - l*m - 3.
-(m + 1)*(m + 2)
Let v(q) be the second derivative of q**5/30 + 13*q**4/9 + 169*q**3/9 + 18*q + 6. Factor v(c).
2*c*(c + 13)**2/3
Suppose -b - b + 4*w - 80 = 0, 2*b + 84 = 2*w. Let r(q) = q**2 - q - 1. Let z(h) = -8 + 4 + 7*h - 20 + 24*h**2 - 29*h. Let i(t) = b*r(t) + 2*z(t). Factor i(l).
4*(l - 1)*(l + 1)
Let b(s) be the second derivative of -s**6/288 - s**5/96 - 4*s**3 + s - 2. Let f(r) be the second derivative of b(r). Solve f(a) = 0.
-1, 0
Let d(h) be the first derivative of 2*h**5/15 - h**4/3 + 2*h**2/3 - 2*h/3 + 197. Factor d(n).
2*(n - 1)**3*(n + 1)/3
Suppose 3*q + 45 = 2*z, 5*q + 23 = -101*z + 100*z. Determine o so that z*o**2 + 0*o**4 - 9*o**3 + 3/2*o**5 - 9/2*o + 0 = 0.
-3, 0, 1
Let r(f) be the third derivative of 35/24*f**4 + 22*f**2 - 10/3*f**3 + 0 - 1/6*f**5 - 1/24*f**6 + 0*f. Factor r(c).
-5*(c - 1)**2*(c + 4)
Let g(v) be the second der