Factor s(c).
2*(c - 1)*(c + 1)**3*(c + 3)/9
Suppose -88*j**4 + 161088*j + 3*j**4 + 9576*j**3 + 502*j**5 + 14528*j - 501*j**5 - 185024*j**2 - 84*j**4 = 0. Calculate j.
0, 1, 56
Let r = -1431/58 - -74/3. Let b = r - -703/1218. Factor -18/7*l**3 + 32/7*l**2 - b - 10/7*l.
-2*(l - 1)**2*(9*l + 2)/7
Let o(n) be the second derivative of 16*n - 1/3*n**3 + 3/10*n**5 + 0 + 2/21*n**7 - 1/6*n**4 + 0*n**2 + 1/3*n**6. Factor o(s).
2*s*(s + 1)**3*(2*s - 1)
Let y(t) be the second derivative of 15/2*t**2 + t - 5/3*t**3 - 3 - 5/12*t**4. Let y(l) = 0. Calculate l.
-3, 1
Let o(l) = -8*l**4 + 22*l**3 - 48*l**2 + 35*l - 10. Let x(j) = 9*j**4 - 21*j**3 + 49*j**2 - 35*j + 10. Let f(i) = 4*o(i) + 3*x(i). Find s such that f(s) = 0.
1, 2
Find n such that -534*n + 762*n + 7*n**5 - 4*n**5 + 36*n**4 + 72 + 270*n**2 + 147*n**3 = 0.
-6, -2, -1
Let u(l) be the third derivative of -l**8/73920 + 2*l**7/3465 - 4*l**6/495 + 3*l**4/8 + 3*l**2. Let w(x) be the second derivative of u(x). Solve w(i) = 0.
0, 8
Let f = -30 - -93. Let h be (0 + 3)*28/f. Let -4/3*z**3 + 4/3 - 4/3*z**2 + h*z = 0. Calculate z.
-1, 1
Let w(o) be the third derivative of o**7/630 - 7*o**6/360 - o**5/15 + 22*o**4/9 - 160*o**3/9 + 506*o**2. Factor w(z).
(z - 4)**3*(z + 5)/3
Let y(m) be the first derivative of 2*m**6/9 - 92*m**5/15 + 127*m**4/3 - 332*m**3/3 + 96*m**2 - 83. Suppose y(j) = 0. What is j?
0, 1, 3, 16
Let m be (48/(-28))/(24/(-224)). Suppose 17*b - 2 = m*b. Solve 1/2 + 21/8*w**2 - 11/8*w**3 + 1/4*w**4 - b*w = 0 for w.
1/2, 1, 2
Let x(m) = -5*m**4 + 36*m**3 - 217*m**2 + 207*m + 168. Let g(u) = -6*u**4 + 35*u**3 - 218*u**2 + 207*u + 170. Let w(b) = 3*g(b) - 4*x(b). Solve w(c) = 0 for c.
-1/2, 2, 9
Let o = 2716 + -2716. Factor 2/9*b**4 + o*b**2 - 2/9*b**3 + 0 + 0*b.
2*b**3*(b - 1)/9
Let w be 1 - ((58 - 58) + -1 + -1)/(-6). Solve -4*p - 14/3 + w*p**2 = 0.
-1, 7
Let p(g) be the first derivative of 2*g**7/35 + 7*g**6/50 + 3*g**5/50 - g**4/20 - 11*g + 12. Let c(j) be the first derivative of p(j). Factor c(k).
3*k**2*(k + 1)**2*(4*k - 1)/5
Factor 2*k**3 - 8*k**5 - 5*k**2 + 2*k + 7*k**5 + k**4 + k**3.
-k*(k - 1)**3*(k + 2)
Let q(n) be the first derivative of 3/4*n**2 + n + 0*n**5 - 1/3*n**3 - 3 - 1/2*n**4 + 1/12*n**6. Suppose q(h) = 0. What is h?
-1, 1, 2
Suppose 2*n = -5*g + 22, 0 = g - 4*g - 4*n + 16. Determine f so that -4*f**g + 80*f + 28*f**3 - 32 - 30*f**2 - 8*f**2 - 34*f**2 = 0.
1, 2
Let n be (-7 + 31)/(-6)*(-2)/8. Let a be 2 + (n*-3 - (-60)/52). Factor 2/13*h + 0 - a*h**2.
-2*h*(h - 1)/13
Let x be ((-24)/56)/(5/(-1) - -3). Let f(p) be the first derivative of -x*p**2 + 0*p - 1/7*p**3 + 3. Factor f(l).
-3*l*(l + 1)/7
Let w(g) be the second derivative of -11*g**6/10 + 18*g**5/5 - 15*g**4/4 + g**3 - 482*g. Suppose w(v) = 0. Calculate v.
0, 2/11, 1
Let f = -1617 + 8097/5. Suppose 0 + f*c**2 + 13/5*c**3 + 1/5*c**5 + 6/5*c**4 + 4/5*c = 0. Calculate c.
-2, -1, 0
Let -2*a**2 + 13*a**2 - 7*a**2 - 10*a - 68*a - 10*a = 0. Calculate a.
0, 22
Let y(r) = -r**2 + 3*r + 2. Let q be y(3). Let -6*j - j**4 + 6*j**3 - 2*j**4 + 7*j**q - 6*j**2 + 2*j**2 = 0. Calculate j.
-1, 0, 1, 2
Let d = 205 - 202. Let q(w) be the second derivative of 4/5*w**5 + 1/3*w**4 + 1/18*w**d + 0 + 0*w**2 + 3*w + 32/45*w**6. Let q(m) = 0. Calculate m.
-1/4, 0
Let w be (-2)/(-3) - 3/(-9). Let g = w - -1. Let -5*h**5 + 0*h**4 + 2*h + 7*h**3 - 7*h**4 - 4*h**3 + 4*h**g + 3*h**2 = 0. Calculate h.
-1, -2/5, 0, 1
Let m(v) = -v - 22. Let d be m(-24). Let z(p) be the third derivative of -1/36*p**4 + 1/180*p**5 + 0 + 0*p**3 + 3*p**d + 0*p. Determine n, given that z(n) = 0.
0, 2
Let s(p) be the third derivative of 6*p**2 + 1/24*p**4 - 1/3*p**3 + 1/15*p**5 + 0*p - 1/40*p**6 + 0. Factor s(j).
-(j - 1)**2*(3*j + 2)
Suppose -2*v + 7*v - x = -802, 5*v = 4*x - 808. Let z = v + 164. Determine s so that -4*s + 5/2*s**3 - 1/2*s**z - 1/2*s**5 + 1/2*s**2 + 2 = 0.
-2, 1
Let o(c) be the third derivative of -c**9/60480 - c**8/4032 - c**7/1680 + c**6/80 + 17*c**5/60 - 12*c**2. Let s(q) be the third derivative of o(q). Factor s(j).
-(j - 1)*(j + 3)**2
Factor -y**3 - y**2 - 10*y**2 - 52 + y**2 - 7*y**2 - 56*y + 0*y**2.
-(y + 2)**2*(y + 13)
Factor 2*h**3 + 38 + 4 - 8*h - 6*h**2 - 42.
2*h*(h - 4)*(h + 1)
Suppose 70*v - 74*v + 120 = 0. Let y = 30 - v. Factor 2*i**5 + 26/9*i**3 + 8/9*i + y + 20/3*i**4 - 40/9*i**2.
2*i*(i + 2)**2*(3*i - 1)**2/9
Let p(o) = o**3 + 18*o**2 - 20*o - 11. Let r be p(-19). Factor 52*d**2 + 10*d**2 + r*d**2 - 245*d - 5*d**3.
-5*d*(d - 7)**2
Let q(g) = g**3 + 20*g**2 + 22*g + 18. Let u be q(-19). Let a = -115/3 - u. Factor -8/3*l**3 - 6 - a*l**4 + 8*l + 4/3*l**2.
-2*(l - 1)**2*(l + 3)**2/3
Let n be (6/(-3) + 0)*(-1 - 0). Let v be (6/27)/(n/21) + -2. Find p such that 1/3*p**3 - 1/3*p**4 + v*p**2 - 1/3*p + 0 = 0.
-1, 0, 1
Let i(v) = -3*v**2 + v + 12. Let m(k) = -k**2 + k. Let f(z) = -i(z) + 6*m(z). Let s(d) = -d**2 + 2*d - 4. Let u(l) = 2*f(l) - 7*s(l). Find n such that u(n) = 0.
2
Let x(y) = 20*y**2 + 9*y + 18. Let s be x(-4). Let g = s - 1504/5. Factor -2/5*b**3 + g*b**2 + 2/5 - 6/5*b.
-2*(b - 1)**3/5
Suppose 6*t = 4*o + 10, -2*o + 7*t - 2*t = 15. Let a(n) be the first derivative of -3/2*n - 9/8*n**2 - o - 1/4*n**3. Suppose a(u) = 0. Calculate u.
-2, -1
Suppose 9*z - z = 2*z. Let p(i) be the second derivative of 0*i**4 - 1/20*i**5 + z*i**2 + 0 + 0*i**3 + i. Determine j, given that p(j) = 0.
0
Let h(y) be the third derivative of y**6/24 - 15*y**5/4 + 1125*y**4/8 - 5625*y**3/2 + 34*y**2. Factor h(z).
5*(z - 15)**3
Let l = 1374 + -1374. What is q in 2/11*q**4 + 0*q + 0 - 4/11*q**3 + l*q**2 = 0?
0, 2
Let t(m) be the second derivative of 0*m**2 - 1/5*m**5 - 12*m - 1/30*m**6 - 1/3*m**3 + 0 - 5/12*m**4. Factor t(d).
-d*(d + 1)**2*(d + 2)
Let q(t) be the first derivative of -t**3/3 + 27*t**2 + 917. Determine w, given that q(w) = 0.
0, 54
Let p = 6 + -4. Let c = -3461/2 - -1732. Factor 3/4 + c*v + 3/4*v**p.
3*(v + 1)**2/4
Suppose 2 = -2*z + 14. Factor 10*x**2 - 4*x**2 - 2*x**2 - 6*x + 4 - 6*x**2 + z*x**3 - 2*x**4.
-2*(x - 2)*(x - 1)**2*(x + 1)
Let i(b) be the third derivative of b**5/300 - 3*b**4/20 + 17*b**3/30 - 37*b**2. Solve i(q) = 0.
1, 17
Let a = 3 + -3. Let w be (-264)/(-84) + a + 1/(-7). Determine x, given that 4/3 - 2*x + 2*x**w - 2/3*x**4 - 2/3*x**2 = 0.
-1, 1, 2
Let y(l) = -l**3 - 10*l**2 + 10*l - 9. Let j be y(-11). Let u be j/4*(-16)/(-2). Factor -u*f**3 + 4*f - 7 + 2*f + 3 + 2*f**3.
-2*(f - 1)**2*(f + 2)
Let t(o) be the third derivative of -o**6/40 - o**4/8 - 24*o**2. Let c(m) = -2*m**3 + m**2 - 4*m. Let p(i) = -6*c(i) + 5*t(i). Let p(r) = 0. Calculate r.
-3, 0, 1
Let a(r) be the first derivative of -r**4/4 - 13*r**3/3 + 6*r**2 - 26*r - 4. Let j be a(-14). Find k, given that 0 + 3*k**4 - 1/3*k - 5/3*k**j - k**3 = 0.
-1/3, 0, 1
Factor 0 + 3/7*x**2 + 81/7*x.
3*x*(x + 27)/7
Let o be -2 - (1/(-5) - 2). Let c be (-12 + 1547/130)*(1 + -3)/1. Factor 1/5*l**2 - o - 1/5*l + c*l**3.
(l - 1)*(l + 1)**2/5
Let c(a) = -a**3 - 10*a**2 + 13. Let q be c(-10). Suppose 22*v - 15*v**2 - q*v + 21*v**3 - 15*v = 0. Calculate v.
-2/7, 0, 1
Let q be (3276/252 - 323/25)/((-1)/(-5)). Let -q*z**3 + 12/5*z + 0 - 2/5*z**2 = 0. What is z?
-3, 0, 2
Let a(p) = 2*p**3 + 5 + p**3 + 3*p**2 - 4*p**3 - p. Let k be a(3). Factor -1 + 0*g + 1/4*g**k.
(g - 2)*(g + 2)/4
Let j = -273 - -274. Let h be (-4*(-7)/84)/j. Determine b, given that -h*b + 1/3*b**3 + 2/3 - 2/3*b**2 = 0.
-1, 1, 2
Let o(i) be the third derivative of -i**6/540 + 11*i**5/270 + 10*i**4/27 + 28*i**3/27 - 37*i**2. Let o(z) = 0. What is z?
-2, -1, 14
Let g(d) = 5 + 3*d**2 - d**2 + 2*d**3 - 4*d - 1. Let r(o) = 2*o**3 + o**2 - 4*o + 3. Suppose -6 = c - 2. Let q(x) = c*r(x) + 3*g(x). Factor q(l).
-2*l*(l - 2)*(l + 1)
Let r(m) = 8*m**4 - 6*m**3 - 4*m**2 + 3*m. Let j(z) = -z**3 + 10*z**4 + z**4 + z**4 + z - 11*z**4. Let l(w) = 14*j(w) - 2*r(w). Factor l(g).
-2*g*(g - 2)*(g + 1)*(g + 2)
Let o be ((1 + -49)/(-16))/(6/1). Factor 0 + c + o*c**3 + 3/2*c**2.
c*(c + 1)*(c + 2)/2
Let c(a) be the first derivative of a**4 - 8*a**3 - 2*a**2 + 24*a - 8. Factor c(f).
4*(f - 6)*(f - 1)*(f + 1)
Suppose 24 = t + 2*t. Let q be (t/(-10))/((-17)/((-340)/(-56))). Factor 0*k - q + 2/7*k**2.
2*(k - 1)*(k + 1)/7
Let z(v) = 2*v**2 + 110*v + 215. Let c be z(-2). Factor 96/5*b**2 - 4/5*b**c - 768/5*b + 2048/5.
-4*(b - 8)**3/5
Let u = 297 - 294. Let h(i)