 - 4*k**4 + 0*k**4 + 2*k**5 - s*k**5.
-4*k**4*(k + 1)
Let a(k) = -3*k**2 - 4099*k + 4099*k. Let w(r) = 7*r**2 + 14*r + 49. Let z(d) = -6*a(d) - 3*w(d). Factor z(l).
-3*(l + 7)**2
Let l(f) = -f**3 + 7*f**2 + 6*f + 15. Let g be l(6). Factor 16*c**2 - 200*c - 5*c**4 - 46*c**2 - g - 4*c**3 - 38 + 44*c**3.
-5*(c - 5)**2*(c + 1)**2
Factor -4/3*f - f**2 + 4 + 1/3*f**3.
(f - 3)*(f - 2)*(f + 2)/3
Let a(l) be the second derivative of -l**6/108 - 2*l**5/45 - l**4/12 - 3*l**3 - 38*l. Let h(g) be the second derivative of a(g). Factor h(d).
-2*(d + 1)*(5*d + 3)/3
Suppose 3*o = 4*o + 3*r - 10, 2 = r. Let v be (6/60)/(1/o). Find k, given that 18/5*k**2 - 2/5 + 8/5*k**4 + v*k + 22/5*k**3 = 0.
-1, 1/4
Factor -4/3*r**2 - 80 + 68/3*r.
-4*(r - 12)*(r - 5)/3
Find g, given that -70*g - 10*g**3 + 650 + 110*g - 74*g**2 - 30*g = 0.
-5, 13/5
Let v(y) = 20*y**4 + 20*y**3 - 25*y**2 - 15*y - 30. Let b(z) = -z**4 - z**3 + z**2 + z + 2. Let o(p) = -15*b(p) - v(p). Factor o(x).
-5*x**2*(x - 1)*(x + 2)
Let c(h) = -3*h**3 + 7*h**2 + h - 5. Let d be (-4)/(-24) - 11/(-6). Let u(f) = f**3 - f**2 - f + 1. Let j(v) = d*c(v) + 10*u(v). Suppose j(l) = 0. Calculate l.
-2, 0, 1
Let x = -29 + 32. Suppose -x*p - 3 = -2*o, o + 5*p + 5 = -3*o. Factor -1/2*h**2 + o*h + 1/2.
-(h - 1)*(h + 1)/2
Suppose -23*c = 18*c - 164. Let p = 9 + -7. Suppose 1/3 + 2/3*v**3 - 5/6*v**5 + 1/6*v + 4/3*v**c - 5/3*v**p = 0. Calculate v.
-1, -2/5, 1
Let l = 201 + -199. Let x(a) be the first derivative of -7/5*a**5 - a**l + 0*a + 8 - 11/3*a**3 - 4*a**4. Find o such that x(o) = 0.
-1, -2/7, 0
Suppose -175 - 40 = -5*g. Let f = g + -41. Factor -2/7*c**4 + 0*c + 0*c**f + 0 - 2/7*c**3.
-2*c**3*(c + 1)/7
Suppose 22*o = 18*o + 16. Find p, given that -7*p**o + 6*p**3 - 28*p**2 + 12*p**2 + 3*p**4 + 10*p**3 = 0.
0, 2
Let v(t) be the first derivative of 2/27*t**3 + 0*t**2 - 1/36*t**4 + 0*t + 1/54*t**6 + 46 - 2/45*t**5. Factor v(h).
h**2*(h - 2)*(h - 1)*(h + 1)/9
Let a(n) be the first derivative of -n**7/280 - n**6/40 + n**4/2 + 17*n**3/3 + 18. Let j(k) be the third derivative of a(k). Determine y so that j(y) = 0.
-2, 1
Let z(n) be the second derivative of -n**4/12 - 11*n**3/2 + 18*n**2 - 101*n. Let k be z(-34). Find i, given that -3/5 + 0*i + 3/5*i**k = 0.
-1, 1
Let u(b) = -b**2 - 9. Let l(q) = 4*q**2 - 46*q. Let i(x) = 2*l(x) + 10*u(x). Factor i(g).
-2*(g + 1)*(g + 45)
Suppose -8*z + 2 - 34 = 0. Let c be z/(-8) - -4*1/(-24). Let -c*n**2 + 1/6*n**3 + 1/6*n + 0 = 0. Calculate n.
0, 1
Let l(b) be the first derivative of -3*b**2 - 2/5*b**5 - 5/2*b**4 + 0*b + 7 - 14/3*b**3. Factor l(k).
-2*k*(k + 1)**2*(k + 3)
Let f = -211 - -212. Let m be f/(-6)*(-126)/(-56)*-36. Factor -6*r - 12*r**2 + m*r**4 + 0 + 9/2*r**3.
3*r*(r - 1)*(3*r + 2)**2/2
Let g(z) be the second derivative of -z**4/16 - 61*z**3/24 + 21*z**2/4 - 11*z - 1. Factor g(h).
-(h + 21)*(3*h - 2)/4
Factor -149*o**2 - 23*o + 146*o**2 + 13 + 23.
-(o + 9)*(3*o - 4)
Let v = -12 - -24. Let j be (-14)/8 + 2 - (-3)/v. Determine p, given that 1/4 - j*p**3 + 0*p**2 - 1/4*p**4 + 1/2*p = 0.
-1, 1
Let b(k) = 2*k**2 + 42*k - 2. Let f(m) = m**2 - m - 1. Let o(q) = -7*q**2 - 79*q + 9. Let z(x) = 4*f(x) + o(x). Let t(v) = -5*b(v) - 2*z(v). Factor t(s).
-4*s*(s + 11)
Let r(a) be the second derivative of 0*a**2 - 1/20*a**5 + 0*a**3 + 18*a + 0 + 1/4*a**4. Factor r(n).
-n**2*(n - 3)
Suppose 0 = -j - w + 1165 - 1158, 5*j - 2*w - 21 = 0. What is u in 1/3*u**j + 2*u**3 - 8/3*u + 5/3*u**4 - 4/3*u**2 + 0 = 0?
-2, 0, 1
Let b be (-13)/12 - 96/(-72). Let a(j) be the second derivative of 2*j + 0 + 0*j**2 + b*j**4 + 0*j**3. Factor a(n).
3*n**2
Let n(y) be the second derivative of y**5/20 - y**4/6 - 5*y**3/2 + 18*y**2 + y + 1. Factor n(z).
(z - 3)**2*(z + 4)
Let i(n) = 9*n**2 + 168*n + 315. Let a(q) = -5*q**2 - 84*q - 157. Let m(f) = 5*a(f) + 3*i(f). Factor m(h).
2*(h + 2)*(h + 40)
Let n(s) = 5*s**2 - 84*s - 108. Let u be n(18). Find g such that -8/9*g**2 + 0*g - 4/9*g**3 + u = 0.
-2, 0
Let a(b) = -b**2 + b + 1. Let d(m) = 10*m**2 + 30*m - 12. Let q(u) = 12*a(u) + d(u). Factor q(p).
-2*p*(p - 21)
Suppose 3*q + 23 = j, 0*j - j - 19 = 3*q. Let r(d) = d**2 + 7*d + 2. Let i be r(q). Find a such that -2*a**3 + 2 - 2 + i*a - 2*a**4 + 2*a**2 = 0.
-1, 0, 1
Let q(o) be the third derivative of -5*o**7/6 - 19*o**6/24 - o**5/6 - 2*o**2 - 6*o. Determine a so that q(a) = 0.
-2/5, -1/7, 0
Let v(j) be the second derivative of -j**7/168 - j**6/60 + j**4/24 + j**3/24 + 2*j - 4. Solve v(a) = 0 for a.
-1, 0, 1
Let i(z) = -z**3 - z**2 + 4*z - 12. Let k be i(-7). Let x = k - 746/3. Factor -x*s + 8/3 + 1/6*s**4 - 4/3*s**3 + 4*s**2.
(s - 2)**4/6
Let z = -2/3 - -4/5. Let d(r) be the first derivative of z*r**3 + 0*r - 1/30*r**6 - 3 + 0*r**5 + 0*r**2 + 3/20*r**4. Find j, given that d(j) = 0.
-1, 0, 2
Suppose -155*u = -176*u + 84. Let p(d) be the second derivative of 0 - 1/102*d**u + 0*d**2 + 1/51*d**3 + 2*d. Factor p(k).
-2*k*(k - 1)/17
Let n(t) = -t**3 + 11*t**2 + 13*t - 10. Let f be n(12). Find l, given that -3*l - 2*l**3 + 5*l**f - 7*l + 1 + 6*l = 0.
1/2, 1
Let h(u) be the second derivative of -3*u**5/5 + 169*u**4/3 - 4816*u**3/3 + 1568*u**2 + 220*u. Solve h(z) = 0.
1/3, 28
Let r(g) be the second derivative of 0 + 2/9*g**3 + 0*g**2 + 44*g + 1/18*g**4. Suppose r(j) = 0. What is j?
-2, 0
Let g(b) be the third derivative of -b**5/660 + 29*b**4/66 - 1682*b**3/33 + 360*b**2 + 2. Factor g(x).
-(x - 58)**2/11
Let v(y) = -y - 1. Let p(l) = -20*l - 28. Let u(q) = p(q) - 24*v(q). Let k = -5 + 0. Let i(m) = -m**2 - 5*m + 5. Let a(t) = k*u(t) - 4*i(t). Factor a(f).
4*f**2
Determine n so that -3/5*n - 3/5*n**3 + 11/10*n**2 + 0 + 1/10*n**4 = 0.
0, 1, 2, 3
Let r be 8/20 + 18/5. Suppose 3*x - 11 + 11 = 0. Factor 0*u**2 + 2*u**r - u**2 + x*u**5 - 3*u**2 - u**5 - 4*u + 3*u**3.
-u*(u - 2)**2*(u + 1)**2
Let k(u) be the first derivative of -u**4 + 0*u + 4/3*u**3 + 0*u**2 + 12. Determine w, given that k(w) = 0.
0, 1
Let n(m) be the first derivative of m**6/3 + 8*m**5/5 + 56. Determine r so that n(r) = 0.
-4, 0
Let b = 62 + -65. Let f be b/1*(-8 - -7) - 1. Find c such that -2/3*c**f - 2*c - 4/3 = 0.
-2, -1
Let w(z) be the first derivative of z**3/18 - 17*z**2/3 + 578*z/3 - 159. Factor w(a).
(a - 34)**2/6
Let w(r) be the first derivative of -r**6/21 + 2*r**5/5 - 17*r**4/14 + 34*r**3/21 - 6*r**2/7 - 68. Determine b so that w(b) = 0.
0, 1, 2, 3
Let u be 2 - (-15)/((-45)/(-2))*3. Find b, given that u - 8/3*b - 4/3*b**2 = 0.
-3, 1
Determine t so that -2*t**5 - 4/3*t + 0 - 82/9*t**2 - 94/9*t**4 - 146/9*t**3 = 0.
-3, -1, -2/9, 0
Let v be 6/(-4)*(-10)/3. What is b in -5*b**2 - 6*b**3 + 8*b - 7*b**2 - v*b + 6 + 6*b**4 + 3*b**5 = 0?
-2, -1, 1
Let l be (9/((-567)/(-12)))/(-14 + (-300)/(-21)). Factor l*j**3 + 0 - 4*j**2 + 6*j.
2*j*(j - 3)**2/3
Factor 476*i**2 + 203*i**3 - 471*i**2 + 1150*i**2 - 105*i**3 + 5*i**4 + 1145*i + 380 + 297*i**3.
5*(i + 1)**3*(i + 76)
Suppose 4*z + 0*j = -j + 15, 2*z + 9 = 5*j. Let h be (z - 9)*(-2)/4. Factor 4*l**2 + 2*l**5 - 4*l**2 - 13*l**3 + 2*l + 9*l**h.
2*l*(l - 1)**2*(l + 1)**2
Let t = 20 - 15. Let l(u) = u**2 - 20*u - 11. Let i(o) = o**2 + 1. Suppose 2*x - 1 + 3 = 0. Let v(r) = t*i(r) + x*l(r). Factor v(w).
4*(w + 1)*(w + 4)
Let v(f) be the third derivative of f**9/15120 + f**8/3360 + f**7/2520 + 7*f**4/24 - 12*f**2. Let w(n) be the second derivative of v(n). Factor w(j).
j**2*(j + 1)**2
Suppose -4*o - 9 = -21. Determine p, given that 4*p**o + 40*p**2 + 48*p - 128 + 38 - 198 = 0.
-6, 2
Let t(u) be the first derivative of -u**4/12 + u**3/3 - 4*u/3 - 166. Determine i so that t(i) = 0.
-1, 2
Let n(i) be the third derivative of i**5/45 - 35*i**4/9 + 46*i**3/3 + 21*i**2. Solve n(s) = 0.
1, 69
Suppose 6*j + 271*j - 1108 = 0. Determine r, given that 4*r**3 - 5/3*r**j + 16/3 + 16/3*r**2 - 16*r = 0.
-2, 2/5, 2
Let y(a) = 249*a**3 + 19*a**2 - 16*a. Let x(u) be the first derivative of -62*u**4 - 20*u**3/3 + 8*u**2 - 23. Let l(w) = -3*x(w) - 4*y(w). Factor l(t).
-4*t*(7*t + 2)*(9*t - 2)
Let o be (2 - 1) + 6 + -5. Factor -12*a**3 + 9*a**4 + 46*a**5 - 20*a**5 - 12*a**o + a**5 - 12*a**3.
3*a**2*(a - 1)*(3*a + 2)**2
Let g(j) = -3*j**2 + 23*j + 10. Suppose 0 = 10*q - 14*q + 32. Let v be g(q). Determine m, given that 2/13 + 4/13*m + 2/13*m**v = 0.
-1
Let b(n) be the second derivative of -n**8/6720 - n**7/2520 + n**6/720 + n**5/120 + 11*n**4/