actor c(j).
-4*(j - 1)*(5*j - 3)**2
Let h(l) be the third derivative of l**8/1344 - l**7/420 - l**6/240 + l**5/30 - 7*l**4/96 + l**3/12 + 20*l**2. Factor h(d).
(d - 1)**4*(d + 2)/4
Let 43*v**2 - 16 - 41*v**2 - 9*v - 18*v - 14 - v = 0. Calculate v.
-1, 15
Determine m, given that 516 - 4*m**3 - 516 - 36*m - 24*m**2 = 0.
-3, 0
Let l(z) be the first derivative of z**6/600 - 3*z**5/100 + z**4/5 + 28*z**3/3 + 10. Let y(x) be the third derivative of l(x). Find i such that y(i) = 0.
2, 4
Let h be (8 - 165/20)/(9/(-12)). Find p, given that -h*p**2 + 2 - 1/3*p = 0.
-3, 2
Let s be -2 + ((-1)/(-1) - -3). Suppose 3*h = -s*x + h, 4*x = -5*h. Solve 2 - 2 + 3*w**2 - 6*w + x = 0.
0, 2
Let q be 198/51 - 4/(-34). Suppose l - 46 + 6 = 0. Suppose -23*o**4 - 8*o - 3*o**2 - l*o**5 + 23*o**2 + 24*o**3 - 27*o**4 + 6*o**q = 0. Calculate o.
-1, 0, 2/5, 1/2
Let t(m) be the second derivative of m**4/9 + 2*m**3/9 - 4*m**2 - 124*m - 2. Find s such that t(s) = 0.
-3, 2
Suppose 4/7*r + 6/7 - 2/7*r**2 = 0. Calculate r.
-1, 3
Suppose 33/5*u + 6/5*u**2 - 18/5 = 0. What is u?
-6, 1/2
Let m(l) be the first derivative of -l**4/6 - 8*l**3/3 + 43*l**2/3 - 20*l - 471. Factor m(y).
-2*(y - 2)*(y - 1)*(y + 15)/3
Let m = 13 + -9. Suppose 0 - 46*l**2 + 44*l**2 + 4*l**3 + l**m + 10 - 12*l - 1 = 0. What is l?
-3, 1
Let o be 24/72 + 172/60 + -2. What is h in -2/5*h**5 - 4/5*h + 2/5*h**4 + o*h**3 + 0 - 2/5*h**2 = 0?
-1, 0, 1, 2
Let n(j) be the third derivative of j**7/27720 + j**6/3960 + j**5/1320 - 13*j**4/24 - 10*j**2. Let d(r) be the second derivative of n(r). Solve d(o) = 0 for o.
-1
Let b(k) be the third derivative of 0 - 1/300*k**5 + 1/10*k**4 + 0*k - 9*k**2 - 6/5*k**3. Suppose b(u) = 0. What is u?
6
Let h = -6412 - -32064/5. Solve -16/5*n**3 + h - 16/5*n + 24/5*n**2 + 4/5*n**4 = 0.
1
Let x = 354409/15 + -23627. Factor 0*n + 2/5*n**2 - x*n**3 - 2/15.
-2*(n - 1)**2*(2*n + 1)/15
Let z(u) be the second derivative of -1/30*u**5 + 0*u**2 + 1/18*u**6 + 0*u**3 + 0 + 15*u + 0*u**4 - 1/42*u**7. Suppose z(s) = 0. What is s?
0, 2/3, 1
Let z = 19/130 - -88/65. Find p such that 3*p**2 + 21/2*p + 6 - z*p**3 = 0.
-1, 4
Suppose -4*s = 233 - 241. Solve 0*c + 18/5*c**4 + 12/5*c**3 + 0 + 2/5*c**s = 0 for c.
-1/3, 0
Let s(v) be the second derivative of -v**5/4 - 205*v**4/12 - 395*v**3/6 - 195*v**2/2 + 34*v + 3. Factor s(a).
-5*(a + 1)**2*(a + 39)
Let r(l) be the first derivative of -49/270*l**5 + 14/27*l**4 - 5*l**2 + 7 - 16/27*l**3 + 0*l. Let g(p) be the second derivative of r(p). Factor g(z).
-2*(7*z - 4)**2/9
Suppose 6*f = -10*f - 19*f + 105. Solve -1/2*v**f + 1/2*v - 3/2*v**2 + 1/2*v**4 + 1 = 0 for v.
-1, 1, 2
Let w(q) be the first derivative of 1/4*q**3 - 15/4*q**2 + 75/4*q + 2. Let w(b) = 0. What is b?
5
Let o(t) = -18*t**2 + 10*t**2 + t + 9*t**2. Let r be ((-2 + 1)/1)/1. Let a(l) = 15*l**2 + 18*l + 3. Let b(f) = r*a(f) + 6*o(f). Factor b(p).
-3*(p + 1)*(3*p + 1)
Let j be ((6 - 2) + -1 - 7) + 7. Factor j*p**2 + 3/2*p**4 - 9/2*p**3 + 0*p + 0.
3*p**2*(p - 2)*(p - 1)/2
Let f be 792/810 - 14/(-63). Factor 0 - 3/5*n**3 + 9/5*n**2 - f*n.
-3*n*(n - 2)*(n - 1)/5
Suppose -15 = 7*q - 12*q + o, -25 = 5*o. Let a be (-800)/(-360) - q/9. Determine k, given that -1/2*k**4 - 2*k**3 + a*k - 3/2*k**2 + 2 = 0.
-2, -1, 1
Let b(v) = -7*v**4 + 11*v**3 + 30*v**2 - 42*v - 28. Let k(x) = -14*x**4 + 22*x**3 + 58*x**2 - 83*x - 58. Let p(w) = 10*b(w) - 4*k(w). Solve p(m) = 0.
-2, -3/7, 2
Let g(l) be the second derivative of 1/18*l**3 + 0*l**2 - 1/90*l**6 + 1/36*l**4 - 1/60*l**5 - 6*l + 0. Factor g(r).
-r*(r - 1)*(r + 1)**2/3
Suppose -39*h + 49*h = 0. Let z(t) be the second derivative of h + 1/30*t**6 + 0*t**3 + 6*t + 0*t**5 + 0*t**2 - 1/12*t**4. Find j, given that z(j) = 0.
-1, 0, 1
Factor -24*r + 14*r - 16*r + 2*r**2 + 44.
2*(r - 11)*(r - 2)
Factor -468*s**2 + 923*s**2 - 12*s - 465*s**2 + 2*s**3.
2*s*(s - 6)*(s + 1)
Let l be (36/(-120))/(9/(-12)). Let s(y) be the first derivative of -1/10*y**4 + l*y**2 + 4 + 2/15*y**3 + 0*y. Find z, given that s(z) = 0.
-1, 0, 2
Let k(r) = 7*r - 1. Let m be k(1). Let l(p) = -p**2 + 4*p + 8. Let o be l(5). Find v such that 2*v**2 - 2*v**4 - m*v**3 - v**o + 2*v + 5*v**3 = 0.
-1, 0, 1
Let c(d) be the second derivative of 3*d**6/10 - 39*d**5/20 + 3*d**4 + 6*d**3 - 24*d**2 + 165*d - 2. Factor c(a).
3*(a - 2)**2*(a + 1)*(3*a - 4)
Let d be ((-2)/4)/(5/(-20)). Let v = -3/121 - -614/363. Factor -2/3*x**4 - v*x**3 + 0 - 4/3*x**d - 1/3*x.
-x*(x + 1)**2*(2*x + 1)/3
Let j(s) = s**2 - 18*s - 112. Let h be j(23). Let t(y) be the third derivative of 1/90*y**6 + 0 - 1/36*y**4 - 7*y**2 + 7/180*y**5 + 0*y**h + 0*y. Factor t(f).
f*(f + 2)*(4*f - 1)/3
Let u(j) = -j + 77. Let i be 0/(-1)*(-9)/(-9). Let c be u(i). Factor -3*z**3 - 6*z**2 + 77 - c.
-3*z**2*(z + 2)
Factor 10*y**2 + 14*y**2 + 2*y**2 + 6 - 2*y**2 + 45*y - 3*y**2.
3*(y + 2)*(7*y + 1)
Let u = -17 - -20. Suppose -u*v = -5*f + 22, 0 = -5*f - 0*f + 4*v + 26. Determine m, given that m**2 - 2*m + 8*m - 2*m + m**f = 0.
-2, 0
Let t = 26 - 38. Let l(y) = -y**2 - 10*y + 24. Let z be l(t). Factor -1/4*a**5 + 0*a**2 + 1/2*a**4 - 1/4*a**3 + 0 + z*a.
-a**3*(a - 1)**2/4
Let r(k) be the first derivative of -k**9/12096 - k**8/6720 - 2*k**3/3 + 9. Let b(a) be the third derivative of r(a). Let b(v) = 0. Calculate v.
-1, 0
Find u, given that -24/5 - 2/5*u + 2/5*u**2 = 0.
-3, 4
Factor 0 - 2/5*h**2 + 0*h.
-2*h**2/5
Let a = 5/31 - -1/186. Let r(v) be the second derivative of 6*v + 0 + v**2 - 1/10*v**5 - a*v**4 + 1/3*v**3. Factor r(f).
-2*(f - 1)*(f + 1)**2
Let w(c) = -15*c**3 - 208*c**2 - 979*c - 752. Let z(v) = 5*v**3 + 69*v**2 + 327*v + 251. Let u(x) = -6*w(x) - 17*z(x). Factor u(g).
5*(g + 1)*(g + 7)**2
Let c(r) be the third derivative of -r**7/30 - 11*r**6/48 + 23*r**5/60 + 83*r**4/16 - 3*r**3/2 + 2*r**2 - 26. Determine p, given that c(p) = 0.
-3, 1/14, 2
Let c(v) be the second derivative of -v**8/23520 - v**7/4410 + v**6/630 + 2*v**5/105 + 13*v**4/12 + 8*v. Let l(q) be the third derivative of c(q). Factor l(x).
-2*(x - 2)*(x + 2)**2/7
Let d(x) be the second derivative of -x**4/8 + 21*x**3/4 - 57*x**2/2 - 259*x. Let d(o) = 0. Calculate o.
2, 19
Let m(o) be the second derivative of -1/15*o**5 + 0 + 14*o - 2/45*o**6 + 0*o**2 + 0*o**3 + 0*o**4. Factor m(q).
-4*q**3*(q + 1)/3
Factor 2/7*j**2 - 10/7*j + 8/7.
2*(j - 4)*(j - 1)/7
Let k be (-80)/48*2/(-15). Let x be (-1)/(-3 + -2)*100/180. Factor -k - 1/9*l + x*l**2.
(l - 2)*(l + 1)/9
Let k(m) be the first derivative of m**4/28 + 125*m**3/21 + 549*m**2/2 - 567*m + 371. Factor k(l).
(l - 1)*(l + 63)**2/7
Suppose 0*p**3 - 13/5*p**2 + 0 + 12/5*p + 1/5*p**4 = 0. What is p?
-4, 0, 1, 3
Let x(a) be the third derivative of -a**8/560 + 3*a**7/50 - 57*a**6/200 + 11*a**5/20 - 9*a**4/20 - 81*a**2. Factor x(p).
-3*p*(p - 18)*(p - 1)**3/5
Let u(v) be the second derivative of 0*v**2 - 1/5*v**5 + 0*v**3 - 2*v + 0 + 1/12*v**4. Factor u(x).
-x**2*(4*x - 1)
Let x = 6014/5 - 1202. Let a(k) be the first derivative of -x*k**5 - 32/3*k**3 + 0*k + 8*k**2 + 10 + 5*k**4. Factor a(u).
-4*u*(u - 2)**2*(u - 1)
Let v(n) be the third derivative of n**6/300 + 7*n**5/300 - 13*n**4/120 - 3*n**3/5 + 148*n**2. Solve v(f) = 0 for f.
-9/2, -1, 2
Let v(f) be the first derivative of -9*f**4 - 184*f**3 - 344*f**2 - 224*f - 91. Solve v(z) = 0 for z.
-14, -2/3
Suppose -775 + 737 = -19*r. Let w(y) be the first derivative of -3*y + 2/3*y**3 + 4 + 1/2*y**r. Factor w(n).
(n - 1)*(2*n + 3)
Suppose 3*m - 26 = -4*t - 1, 15 = 5*m. Let g(b) = -2*b**2 + 4*b - 5. Let x(w) = 3*w**2 - 5*w + 6. Let r(q) = t*g(q) + 3*x(q). Suppose r(j) = 0. Calculate j.
-2, 1
Factor 0 + 132/5*c - 2/5*c**2.
-2*c*(c - 66)/5
What is r in -232/5*r**3 - 57/5*r**4 - 404/5*r**2 - 64/5 - 288/5*r - r**5 = 0?
-4, -2, -1, -2/5
Let f be ((-205)/(-75) + -3)/(28/(-42)). Determine q, given that -16/5*q**3 + 3*q - 24/5*q**2 - f = 0.
-2, 1/4
Let g(q) = -16*q**2 + 12*q - 2*q + 0*q - 5 + 11*q**2. Let v(u) = 135*u**2 - 270*u + 135. Let p(o) = 55*g(o) + 2*v(o). Factor p(b).
-5*(b - 1)**2
Let g(o) be the third derivative of -2*o**7/105 + o**5/5 - o**4/3 - 120*o**2. Factor g(r).
-4*r*(r - 1)**2*(r + 2)
Let a(j) = j**3 - 7*j**2 + 8*j. Let m be (-5)/(-2)*644/70. Let b(t) = -7*t**2 + 4*t**3 + 64*t - m*t - 27*t**2. Let n(o) = 11*a(o) - 2*b(o). Factor n(u).
3*u*(u - 2)*(u - 1)
Let m(a) = -a**2 - 7*a + 1. Let p(i) = -32*i**2 -