t**3*(5*t - 2)*(7*t + 2)/2
Let w(d) be the second derivative of 0 + 15/2*d**2 - 18*d + 10/3*d**3 + 5/12*d**4. Factor w(l).
5*(l + 1)*(l + 3)
Let n = -4396 + 17585/4. Factor -1/2 - 3/4*r - n*r**2.
-(r + 1)*(r + 2)/4
Let u be 2/(-5) - (-4)/10 - (-243)/36. Factor -u*c**2 + 1/2*c**3 - 1 - 6*c + 9/4*c**4.
(c - 2)*(c + 1)**2*(9*c + 2)/4
Let k(m) be the second derivative of -1/110*m**5 + 0 - 216/11*m**2 - 7*m - 36/11*m**3 - 3/11*m**4. Factor k(j).
-2*(j + 6)**3/11
Let c(d) be the third derivative of 4/35*d**7 - 7/15*d**6 + 0*d - 3/2*d**4 + 4/3*d**3 - 41*d**2 - 1/84*d**8 + 0 + 16/15*d**5. Suppose c(z) = 0. Calculate z.
1, 2
Factor -6*s - 3/2*s**4 + 0*s**3 + 3/8*s**5 + 0 + 6*s**2.
3*s*(s - 2)**3*(s + 2)/8
Suppose -6*n - 228 = -258. Let w be ((-7)/((-70)/(-8)))/((-22)/n). Factor 0*y - 2/11*y**3 - w*y**2 + 0.
-2*y**2*(y + 1)/11
Let w(f) be the second derivative of -f**5/45 - 5*f**4/27 - 17*f**3/54 - 2*f**2/9 - f + 19. Factor w(b).
-(b + 4)*(2*b + 1)**2/9
Factor -23371*k**3 + 23370*k**3 + 27*k**2 + 3*k**2 - 225*k.
-k*(k - 15)**2
Suppose -29/3*k + 10/3*k**2 + 4 + 7/3*k**3 = 0. What is k?
-3, 4/7, 1
Let i(m) be the second derivative of m**4/6 + 5*m**3/3 + 6*m**2 - 7*m + 9. Factor i(f).
2*(f + 2)*(f + 3)
Suppose -5*t - 22 - 8 = 0. Let m(f) = -f**2 + 3*f. Let o(h) = h**3 + 2*h**2 - 5*h. Let k(w) = t*o(w) - 10*m(w). Factor k(d).
-2*d**2*(3*d + 1)
Let o(i) = -i**3 + 4*i**2 + 7*i - 7. Let h be o(5). Suppose 4*b = x - h + 5, 5*x = -3*b + 13. Factor 7*l**2 + l**5 + l**3 - 2*l**4 - 7*l**x.
l**3*(l - 1)**2
Let o be (-38 + 37)/((-1)/(-2) + (-68)/56). Suppose -8/5*y**2 - 16/5*y + o*y**3 + 0 - 1/5*y**4 = 0. Calculate y.
-1, 0, 4
Let t(l) = 65*l**2 - 63*l - 16. Let c(k) = -33*k**2 + 31*k + 8. Let x(s) = -7*c(s) - 3*t(s). Factor x(a).
4*(a - 1)*(9*a + 2)
Let y(z) = 1. Let q(r) = 2*r**2 + 64*r + 504. Let b(v) = -q(v) - 8*y(v). Factor b(t).
-2*(t + 16)**2
Let b = -138 - -138. Let u(m) be the second derivative of 1/48*m**4 + b + 0*m**2 - 1/12*m**3 - 3*m. Factor u(v).
v*(v - 2)/4
Let n(y) = 1. Let a(k) = 4*k**2 - 72*k + 319. Suppose 2*j + 3*i - 5 + 0 = 0, -4*i + 4 = 0. Let t(x) = j*a(x) + 5*n(x). Factor t(d).
4*(d - 9)**2
Let o(h) = -12*h**2 + 14*h + 10. Let z(q) be the first derivative of -12*q**3 + 41*q**2/2 + 29*q - 12. Let c(j) = -17*o(j) + 6*z(j). What is d in c(d) = 0?
-1/3, 1
Suppose 231*z + 451*z + 128*z = 0. Find t such that -2/5*t**2 - 6/5*t**5 + z - 2/5*t**3 + 0*t + 2*t**4 = 0.
-1/3, 0, 1
Factor 9 + 24*c**2 - 29 - 28 - 20*c - 4*c**3.
-4*(c - 4)*(c - 3)*(c + 1)
Let t = 578 + -575. Let y(k) be the second derivative of 1/30*k**4 + 0 - t*k - 1/5*k**3 + 2/5*k**2. Solve y(u) = 0.
1, 2
Let b(y) be the second derivative of -2/15*y**6 + 7*y + 0*y**2 - 3/5*y**5 - 2/3*y**4 + 0 + 0*y**3. Factor b(f).
-4*f**2*(f + 1)*(f + 2)
Let j(v) = -v - 7. Let z be j(1). Let n be -129*6/(-648) + 6/z. Factor 10/9*i**2 - n + 2/3*i.
2*(i + 1)*(5*i - 2)/9
Let h(m) be the first derivative of 3*m**4/4 - 24*m**3/5 - 3*m**2/2 - 144. Factor h(g).
3*g*(g - 5)*(5*g + 1)/5
Let b(w) be the third derivative of -1/180*w**6 + 15*w**2 + 0 + 1/90*w**5 - 1/9*w**3 + 0*w + 1/36*w**4. Factor b(l).
-2*(l - 1)**2*(l + 1)/3
Let l(y) be the second derivative of y**4/90 - 22*y**3/45 - 89*y. Factor l(t).
2*t*(t - 22)/15
Let m(q) = -6*q**3 + 84*q**2 + 20*q - 276. Let y be m(14). Factor 0 + 0*b - 2/13*b**y + 2/13*b**3 + 0*b**2.
-2*b**3*(b - 1)/13
Let d(r) be the second derivative of -r**9/7560 - r**8/3360 + r**7/1260 + r**6/360 - 7*r**4/12 + 16*r. Let s(t) be the third derivative of d(t). Factor s(i).
-2*i*(i - 1)*(i + 1)**2
Let r(p) be the first derivative of -p**3/3 + 4*p**2 - 7*p + 3. Let j be r(7). Find z, given that -4*z**2 + z**3 + 5*z**2 - 2*z + j*z = 0.
-2, 0, 1
Let r(l) be the third derivative of -6*l**2 + 0*l - 1/18*l**4 + 1/540*l**6 + 1/6*l**3 + 0 + 1/180*l**5. Let v(p) be the first derivative of r(p). Factor v(c).
2*(c - 1)*(c + 2)/3
Let j be (-54)/45*(-15)/6. Let g(w) be the third derivative of 0*w + 1/60*w**6 - 1/12*w**4 + 0 + 1/30*w**5 - j*w**2 - 1/3*w**3. Determine i so that g(i) = 0.
-1, 1
Find z, given that -16*z**4 - 75*z**3 + 140*z**2 - 13*z**4 + 10*z**4 + 2*z**5 - 29*z**4 - 92 + 115*z**3 - 42*z = 0.
-1, 1, 2, 23
Determine j so that -13 + 20*j - 520*j**2 - 5 + 518*j**2 = 0.
1, 9
Let d(g) = -3*g**3 + 27*g**2 - 8*g - 27. Let x be 6/15*15/1. Let j(u) = u**3 - 7*u**2 + 2*u + 7. Let l(r) = x*d(r) + 22*j(r). Solve l(v) = 0.
-2, -1, 1
Let m be 2/(17 + 162/(-12)). Factor -24/7*v + m*v**3 + 0 - 20/7*v**2.
4*v*(v - 6)*(v + 1)/7
Suppose -3*t - 20 = -5*q, -3*q + 0*t - 3*t = 12. Let a = q + 1. Let 6 - 3*l**a + 0 - 3 = 0. What is l?
-1, 1
Suppose 3 = 4*j - 2*s + 1, 2*s = -10. Let m be (-4 + -2)*j/6. What is x in 4*x**m - 4*x**2 + 4 + 6*x + 6*x**2 - 4*x**2 = 0?
-2, -1
Let f be (-1)/(-4) + -3 + (-35)/(-4). Let u(k) be the first derivative of -f - 3/16*k**4 - 1/4*k - 1/8*k**2 + 5/12*k**3. Factor u(x).
-(x - 1)**2*(3*x + 1)/4
Factor 0*n + 50*n**2 + 30*n**3 + 0 + 5/2*n**4.
5*n**2*(n + 2)*(n + 10)/2
Let m = 18146/3 - 6047. Find n, given that 0 + m*n**2 + 1/3*n + n**3 - 3*n**4 = 0.
-1/3, 0, 1
Let x(h) = h**3 + 8*h**2 + 9*h - 2. Let w(l) = 5*l**3 + 32*l**2 + 36*l - 9. Let f(a) = 2*w(a) - 9*x(a). Determine n so that f(n) = 0.
-1, 0, 9
Let m be 121/(-66) - (-252)/108. What is z in -m*z**3 - 169/2 + 25/2*z**2 - 143/2*z = 0?
-1, 13
Let z(q) = 155*q**2 - 1. Let d be z(-1). Factor -22*r - 484*r**2 - 6 - d*r - 10.
-4*(11*r + 2)**2
Let 4 + 2/7*q**2 - 18/7*q = 0. Calculate q.
2, 7
Let p(v) = v**2 + 4*v + 6. Let r(j) = 5*j**2 + 20*j + 31. Let q(a) = -22*p(a) + 4*r(a). Factor q(i).
-2*(i + 2)**2
Let k(y) be the third derivative of y**6/660 + 2*y**5/165 + 5*y**4/132 + 2*y**3/33 + 17*y**2 + y. What is d in k(d) = 0?
-2, -1
Let j(c) be the second derivative of c**5/20 - c**4/12 + c. Let h be j(2). Factor -h*o**5 - 2*o**5 + 5*o**5.
-o**5
What is o in -9/4*o**2 - 1/2 + 11/4*o = 0?
2/9, 1
Let t(j) be the second derivative of -j**5/480 - j**4/64 - j**3/24 - 7*j**2/2 + 9*j. Let v(i) be the first derivative of t(i). Find w such that v(w) = 0.
-2, -1
Let p(n) be the second derivative of -n**5/60 - n**4/9 - n**3/6 - 33*n. Factor p(j).
-j*(j + 1)*(j + 3)/3
Let f(t) = 5*t**5 + 77*t**4 + 2*t**3 - 4*t**2. Let r(v) = 135*v**5 + 2080*v**4 + 55*v**3 - 110*v**2. Let w(k) = 55*f(k) - 2*r(k). Find o, given that w(o) = 0.
-15, 0
Find c, given that -33/2*c + 1/2*c**2 + 31 = 0.
2, 31
Let u be (-78)/(-297) - (9 - (-1818)/(-198)). Suppose 0*d + u*d**3 + 0 - 2/3*d**2 + 2/9*d**4 = 0. Calculate d.
-3, 0, 1
Factor 16/11*g**2 + 12/11 + 2/11*g**3 + 26/11*g.
2*(g + 1)**2*(g + 6)/11
Let i(q) be the third derivative of -q**8/1512 - 38*q**7/945 - 101*q**6/108 - 146*q**5/15 - 36*q**4 - 64*q**3 + 4*q**2 - 8. Find h such that i(h) = 0.
-12, -1
Let q = -5 + 20. What is k in k**2 + q*k + 2*k**2 + 6 - 6*k = 0?
-2, -1
Suppose 3*a + 8 = -13. Let m(k) = -k**2 - 8*k - 4. Let q be m(a). Find l such that 66*l**2 + 25*l**q - 20*l + 32*l**4 - 104*l**3 + 2 - l**3 = 0.
1/4, 1
Let h(w) be the third derivative of w**9/15120 - w**8/2520 - w**7/315 + 2*w**6/45 + 13*w**5/60 - 15*w**2. Let b(v) be the third derivative of h(v). Factor b(i).
4*(i - 2)**2*(i + 2)
Suppose 0*y - 2*m - 30 = 4*y, 5*y + m + 39 = 0. Let r be (12 - 12)*2/y*-2. Factor -l**2 - 45/4*l**4 - 25/4*l**5 + 0*l - 6*l**3 + r.
-l**2*(l + 1)*(5*l + 2)**2/4
Let v be (-620)/14 + 4/14. Let d(l) = -l - 1. Let t(a) = -136*a - 143*a + 2*a**2 + 22 + 299*a. Let g(f) = v*d(f) - 2*t(f). Determine h so that g(h) = 0.
0, 1
Let m = -19 - -19. Suppose 5*z - 15 = -m*z. Factor 4*l + l**3 - l**3 - 4*l**2 - 3*l**z.
-l*(l + 2)*(3*l - 2)
Let p be (3/(-6))/1*-48. Let s = p + -20. Let -3*h**3 - 2*h**3 - h**2 - 3*h**s - h**5 + 10*h**5 = 0. Calculate h.
-1/3, 0, 1
Let g(f) = f**2 + 5*f + 7. Let r be g(-9). Suppose 0 = -4*a + r + 53. What is n in 2*n**3 + a - 2*n - 4*n - 28 = 0?
-1, 2
Let s = 9 + 11. Suppose -4*b = 3*x - 40, 8 + s = x + 5*b. Factor -x - 14*h + 14*h + 2*h**3 + 6*h**2.
2*(h - 1)*(h + 2)**2
Let g = 92 - 1379/15. Let s = 1/3 + g. Factor s*a + 1/5*a**3 + 0 + 3/5*a**2.
a*(a + 1)*(a + 2)/5
Let u(z) = 341*z - 682. Let k be u(2). Let k - 4/19*n - 4/19*n**3 - 10/19*n**2 = 0. Calculate n.
-2, -1/2, 0
Factor 0 + 27/2*q + 1/2*q**4 + 9/2*q**3 + 27/2*q**2.
q*(q + 3)**3/2
Let w(g) be the third derivative of -g**5/120 - g**4/48 + g**3/6 + 40*g**2