w(u) - 6*y(u). Factor l(j).
3*j*(j - 3)
Let s be ((-80)/50)/((9/(-3))/3). Let -4/5*g - 9/5*g**4 + 3/5*g**3 + s*g**2 + 0 = 0. What is g?
-1, 0, 2/3
Let m(a) be the first derivative of -a**7/525 + a**6/300 + a**5/150 - a**4/60 + 3*a**2 - 38. Let p(i) be the second derivative of m(i). Factor p(d).
-2*d*(d - 1)**2*(d + 1)/5
Let m(u) be the first derivative of 0*u**2 + 0*u**4 + 4 + 0*u - 1/12*u**6 - 1/5*u**5 + 0*u**3. Factor m(n).
-n**4*(n + 2)/2
Let c(p) be the second derivative of 5*p**4 - 10/3*p**3 + 0*p**2 + p**6 - 5/42*p**7 - 16*p - 13/4*p**5 + 0. Factor c(h).
-5*h*(h - 2)**2*(h - 1)**2
Let a = 5/3362 - -329451/16810. Factor a - 2/5*m**3 - 14*m - 26/5*m**2.
-2*(m - 1)*(m + 7)**2/5
Suppose -z = 2*b + 12, 3*b - 2*b - 75 = 4*z. Let j be 3/(-2)*60/z. Factor -2*l**4 - 3*l**5 + 3*l**j - 4*l**5 + 2*l**5.
-2*l**4*(l + 1)
Suppose -u = -2*u - 5, -20 = 5*h + 5*u. Let p be 530/150 - h/3 - 3. Factor 1/5*r + p*r**2 + 0.
r*(r + 1)/5
Let t(s) be the second derivative of -s**4/15 - 43*s**3/15 - 21*s**2/5 - 146*s. Find y, given that t(y) = 0.
-21, -1/2
Let v(f) be the second derivative of f**7/294 - f**6/30 + 4*f**5/35 - f**4/7 - 67*f. Find p, given that v(p) = 0.
0, 2, 3
Let s(z) be the first derivative of -12 + 1/6*z**3 - 1/4*z**2 + 0*z. Suppose s(t) = 0. Calculate t.
0, 1
Let o be (6/18)/((-1)/(-3)). Suppose 5*l = 3*u + o, -l - 5*u = -5*l - 7. Suppose -46/7*k**4 + 0 + 40/7*k**3 - 8/7*k**2 + l*k**5 + 0*k = 0. Calculate k.
0, 2/7, 1, 2
Let s be (-6)/9*(-6)/14. Let h be ((-92983)/(-462))/79 - 5/6. Factor 18/7 + s*n**2 + h*n.
2*(n + 3)**2/7
Let g = -66 - -177. Let f = g + -111. Factor 1/7*t + f + 0*t**2 - 1/7*t**3.
-t*(t - 1)*(t + 1)/7
Let i = 5 - 3. Let w be (4/15)/4 + 61/183. Factor -3/5*a**i + 0 - w*a.
-a*(3*a + 2)/5
Suppose 2*d + 14 = 8. Let h be d/((-35)/(5 - 0)). Find r such that -4/7*r**2 + 0 + 1/7*r**3 + h*r = 0.
0, 1, 3
Let m = -368 - -368. Let k(s) be the third derivative of m - 3*s**2 - 1/630*s**7 + 0*s**5 + 0*s**6 + 0*s**3 + 1/1008*s**8 + 0*s + 0*s**4. Factor k(z).
z**4*(z - 1)/3
Let w(r) = -5*r - 24. Let c be w(-6). Let 16 + 10*i**2 + i**4 - 4*i - 3*i**2 + 6*i**3 - 20*i - c*i**2 = 0. What is i?
-4, 1
Let t(s) be the first derivative of s**6/1440 + s**5/80 - 4*s**3/3 + 21. Let k(n) be the third derivative of t(n). Factor k(d).
d*(d + 6)/4
Let 3520/7*d**2 + 276/7*d**4 - 18496/7 - 19584/7*d + 4880/7*d**3 + 4/7*d**5 = 0. Calculate d.
-34, -2, -1, 2
Let o = 47 - 37. Factor 9*j**5 - 2*j**4 - 4*j - o*j**5 + 2*j**2 + 3*j**3 + 2*j**2.
-j*(j - 1)**2*(j + 2)**2
Let n(o) be the third derivative of 0 - 2*o + 3/20*o**5 + 1/40*o**6 + 1/4*o**4 + 0*o**3 - 9*o**2. Factor n(b).
3*b*(b + 1)*(b + 2)
Let u(g) be the second derivative of 1/21*g**7 + 0 - 3/2*g**4 + 0*g**2 + 12*g + 3/10*g**5 + 0*g**3 + 1/3*g**6. Determine p so that u(p) = 0.
-3, 0, 1
Let g(u) be the third derivative of -u**5/12 - 55*u**4/8 - 155*u**3/3 - 576*u**2. Factor g(c).
-5*(c + 2)*(c + 31)
Solve -24/7 - 20/7*n - 4/7*n**2 = 0 for n.
-3, -2
Let w(p) be the third derivative of 0 + 10*p**2 - 1/36*p**4 + 0*p + 0*p**3 - 1/180*p**5. Factor w(u).
-u*(u + 2)/3
Let y(s) be the first derivative of s**3/27 + 104*s**2/9 + 10816*s/9 + 277. Suppose y(u) = 0. What is u?
-104
Let t(h) = -h**3 + 3*h**2 - 8*h + 2. Let w(o) = -6*o**3 + 15*o**2 - 39*o + 11. Let p(q) = -11*t(q) + 2*w(q). Find l, given that p(l) = 0.
-5, 0, 2
Let m(x) be the first derivative of x**3/4 - 9*x**2/4 + 6*x - 8. Factor m(q).
3*(q - 4)*(q - 2)/4
Let k be 3 + 3 + -5 + 6 + -3. Let h be (2/k)/(24/144). Factor 1/4*b + 0 - 1/2*b**h - 1/4*b**2.
-b*(b + 1)*(2*b - 1)/4
Let a be (-2)/7 - 4/(-14). Suppose a = 4*j + 2*j - 6. Factor -12*u**2 + j + 20*u + 14 + 17*u**2.
5*(u + 1)*(u + 3)
Suppose 0 = -2*z + 4*z - 6. Let b = -142 - -713/5. Factor 0*g - b*g**2 + 0 - 3/5*g**z.
-3*g**2*(g + 1)/5
Let u be 8/(-32) + 2/8. Let o be (2/(-3))/1 + 1. Factor -o*g**4 - 1/3*g**5 + 0 + u*g + 1/3*g**3 + 1/3*g**2.
-g**2*(g - 1)*(g + 1)**2/3
Let p(k) be the first derivative of -3*k**5 + 21*k**4/4 + 8*k**3 - 6*k**2 - 167. Factor p(x).
-3*x*(x - 2)*(x + 1)*(5*x - 2)
Let r be (24/(-14))/(18/(-63)). Let u(y) be the third derivative of -r*y**2 + 2/15*y**5 + y**3 + 0 + 7/12*y**4 + 0*y. Suppose u(q) = 0. What is q?
-1, -3/4
Let b(n) = n**3 - 5*n**2 - 6*n + 3. Let r be b(6). Suppose 36 = 5*y - r*y. What is g in -y - 4*g**2 - g + 2 + 17*g = 0?
2
Suppose 0 = 9*q - 6*q, -2*f = -4*q. Let j(u) be the first derivative of 2/5*u**5 + 2*u + f*u**4 - 4/3*u**3 + 0*u**2 - 5. Suppose j(z) = 0. Calculate z.
-1, 1
Suppose -8*g + 12 = -6*g. Let 8 + 2*o**3 - g*o - 3*o + 8 - 4*o**2 + o = 0. Calculate o.
-2, 2
Let a(o) be the first derivative of -3*o**4/8 - 29*o**3/12 + 3*o**2/4 + 5*o/4 + 348. Factor a(r).
-(r + 5)*(2*r - 1)*(3*r + 1)/4
Suppose 43*u = -14*u. Let j(f) be the second derivative of 0 + u*f**3 + 0*f**2 + 0*f**4 - 1/63*f**7 + 1/45*f**5 - 11*f - 1/135*f**6. Factor j(w).
-2*w**3*(w + 1)*(3*w - 2)/9
Let h be (-12)/((-28)/7)*7/3. Let q(n) be the second derivative of 0 + 7/18*n**3 - 1/45*n**6 + 2/9*n**4 - 1/126*n**h - 6*n + 1/30*n**5 + 1/3*n**2. Factor q(k).
-(k - 2)*(k + 1)**4/3
Let w(i) = 3*i**5 + 12*i**4 - 9*i**3 - 36*i**2 - 6*i. Let y(t) = -9*t**5 - 36*t**4 + 29*t**3 + 107*t**2 + 17*t. Let m(d) = -17*w(d) - 6*y(d). Factor m(b).
3*b**2*(b - 2)*(b + 1)*(b + 5)
Suppose 380*s - s**5 + 7*s**2 + 0*s**2 + 370*s + 13*s**3 - 750*s + 5*s**4 = 0. Calculate s.
-1, 0, 7
Let j(y) be the second derivative of -y**7/2520 - y**6/360 - y**5/120 - y**4 + 3*y. Let x(o) be the third derivative of j(o). Solve x(l) = 0.
-1
Let o be (-28)/(-42) - ((-4)/(-2))/6. Suppose o*t**3 - 1/3 - 1/3*t + 1/3*t**2 = 0. What is t?
-1, 1
Let s(c) = 6*c**2 + 9*c + 3. Let d(z) = z**2 + z. Let u = 2 - -1. Let w(h) = u*d(h) - s(h). Factor w(g).
-3*(g + 1)**2
Let a(g) = -9*g**3 + 2*g**2 - 1. Let t be a(-1). Suppose 8*q = t*q - 24. Let 3*h - q*h - 3*h**3 + 7*h**3 - 7*h = 0. Calculate h.
-2, 0, 2
Let o = 80/3 + -397/15. Let z(s) be the first derivative of -1 + 0*s**3 + o*s**2 + 0*s - 1/10*s**4. Factor z(t).
-2*t*(t - 1)*(t + 1)/5
Let z be (-18)/(-12)*(-8)/(-4). Let o(t) be the third derivative of -1/4*t**4 - z*t**2 + 0 + 1/2*t**3 + 0*t + 1/20*t**5. Factor o(n).
3*(n - 1)**2
Let w(r) be the first derivative of 0*r + 405/4*r**4 + 27*r**3 + 125/2*r**6 + 0*r**2 + 46 + 135*r**5. Factor w(o).
3*o**2*(5*o + 3)**3
Let n(x) be the first derivative of -14*x**5/65 - 25*x**4/26 - 12*x**3/13 - 532. Factor n(z).
-2*z**2*(z + 1)*(7*z + 18)/13
Factor -2/3*y**2 + 10/3 + 8/3*y.
-2*(y - 5)*(y + 1)/3
Let q(a) be the first derivative of -a**3/7 - 9*a**2/14 + 356. Factor q(z).
-3*z*(z + 3)/7
Let k = 8 + 1. Let r = 12 - k. Factor -68*n**4 + 68*n**4 - 3*n**5 + 6*n**3 - r*n.
-3*n*(n - 1)**2*(n + 1)**2
Suppose 7*z - 4*z + 24 = 3*d, 0 = 2*d - 4*z - 22. Suppose -2*f - d + 13 = 0. Suppose l**4 - 4*l**3 + 6*l**3 - 3*l**f = 0. What is l?
0, 1
Let k = -4 - -4. Let s(c) be the third derivative of 1/36*c**4 + 0*c + 1/9*c**3 + 5*c**2 - 1/90*c**5 + k - 1/180*c**6. Let s(n) = 0. Calculate n.
-1, 1
Let f(a) be the second derivative of -10/9*a**2 - 1/9*a**3 + 0 + 59*a + 1/54*a**4. Factor f(q).
2*(q - 5)*(q + 2)/9
Factor -7*u - 49 - 1/4*u**2.
-(u + 14)**2/4
Let n(v) be the first derivative of -3*v**4/4 + 12*v**3 + 81*v**2/2 + 42*v + 60. Factor n(a).
-3*(a - 14)*(a + 1)**2
Let t(p) be the second derivative of 2*p**7/21 + 16*p**6/15 + 5*p**5 + 38*p**4/3 + 56*p**3/3 + 16*p**2 + p - 7. Factor t(f).
4*(f + 1)**2*(f + 2)**3
Let l(n) = -n**3 - n**2 + 3*n - 3. Let i be l(3). Let p be (-78)/i - (-3)/(-5). Factor -18*x**2 + 18*x**p - 9*x + 3*x**3 + 6.
3*(x - 1)**2*(x + 2)
Let l(s) be the second derivative of s**7/1260 - 5*s**4/12 + 5*s. Let h(j) be the third derivative of l(j). Factor h(t).
2*t**2
Factor -12/7*t**2 + 20/7 + 6/7*t + 2/7*t**3.
2*(t - 5)*(t - 2)*(t + 1)/7
Let j(v) be the second derivative of v**6/60 - v**5/60 - v**4/24 + 3*v**2 - 7*v. Let k(x) be the first derivative of j(x). Factor k(a).
a*(a - 1)*(2*a + 1)
Suppose 8 = -71*o + 79. Solve -o - 9/4*l**2 - 3*l = 0 for l.
-2/3
Let l(d) = -2*d**2 - 1277*d + 1279. Let z(p) = -p**2 - 426*p + 427. Let w(i) = 6*l(i) - 17*z(i). Find t, given that w(t) = 0.
1, 83
Let d be (-2)/(-14)*49*2/10. Factor -d*g**2 - 4/5*g + 0 + 1/5*g**4 - 2/5*g**3.
g*(g - 4)*(g + 1)**2/5
Find s, given that -13*s**2 - 12*s + 11 + 4*s**3 - 2*s**3 + 5 + 7*s**2 