 of a(x). Factor f(j).
3*j**2*(j + 1)
Let f be 2/4*(0 + 2)*3. Suppose 164*l**3 - l**4 + 15*l**2 - 9*l + 27*l - 171*l**f + l**5 - 2*l**4 = 0. Calculate l.
-2, -1, 0, 3
Let l(n) = -n**3 + 18*n**2 + 23*n - 20. Let o be l(19). Suppose -7*h + 91 + o = 0. Factor 3*y**2 + h + 12*y - 8 + 6*y + 14.
3*(y + 3)**2
Let j = 4790/3 - 1596. Let l(q) be the first derivative of -j*q**6 + 0*q**5 + 0*q - 11 + 0*q**3 + 0*q**4 + 0*q**2. Find t such that l(t) = 0.
0
Let r(q) = q**4 - 2*q**3 - 2*q**2 + 3. Let g = 13 - -20. Let x(k) = -5*k**4 + 10*k**3 + 9*k**2 + k - 15. Let l(p) = g*r(p) + 6*x(p). Let l(n) = 0. Calculate n.
-1, 1, 3
Suppose -33*u - 337*u = -1110. Let 12/13 - 4/13*m**2 + 10/13*m - 2/13*m**u = 0. What is m?
-3, -1, 2
Suppose 16*x - 5690*x**2 + 49*x**3 + 95*x**4 - 25*x**5 + 5622*x**2 - 13*x**3 = 0. Calculate x.
-1, 0, 2/5, 4
Let g = -29474/91 - -2278/7. What is h in -2/13*h**5 - 20/13*h**2 - g*h**3 - 10/13*h**4 - 10/13*h - 2/13 = 0?
-1
Let b(s) be the second derivative of -2/9*s**3 + 0 + 1/45*s**5 + 1/18*s**4 + 11*s - s**2 - 1/90*s**6. Let w(q) be the first derivative of b(q). Factor w(z).
-4*(z - 1)**2*(z + 1)/3
Let u be (-1)/(-3) - (-2783)/33. Let x = u + -82. Factor 0 + x*i**2 + 8/3*i + 2/3*i**3.
2*i*(i + 2)**2/3
Find s such that -10137*s**3 - 7686*s + 6201*s + 3482*s**3 + 135 + 5445*s**2 = 0.
3/11
Factor 46*y - 94*y + 204 - 160*y + 4*y**2.
4*(y - 51)*(y - 1)
Let f(t) = 2*t**2 + t - 2. Let a(s) = -3*s**2 - 45*s + 45. Let d(w) = -a(w) - 3*f(w). Find v, given that d(v) = 0.
1, 13
Let b be ((-2)/(-52))/((-359)/(-2872)). Factor 0 + b*f + 2/13*f**2.
2*f*(f + 2)/13
Let z be 1 + 4/(-10) - (-119)/35. Factor 2*g**2 + 4*g**2 - 2*g**3 - 6*g + 4*g**2 + z - 22.
-2*(g - 3)**2*(g + 1)
Let -65/4*k**3 + 235/4*k**2 + 5/4*k**4 - 295/4*k + 30 = 0. Calculate k.
1, 3, 8
Let p(h) = -7*h**4 + 6*h**3 - 31*h**2 + 36*h - 19. Let d(r) = -2*r**4 - r**3 - r**2 - 1. Let y(b) = -3*d(b) + p(b). Factor y(a).
-(a - 4)*(a - 2)**2*(a - 1)
Factor -2*g**2 + 4*g - 16 + 6 - 12*g + 4.
-2*(g + 1)*(g + 3)
Let k(x) be the third derivative of -x**5/12 + 215*x**4/24 + 75*x**3 - 154*x**2. Factor k(q).
-5*(q - 45)*(q + 2)
Let o be (-4 - 291/(-72))/((-25)/(-15)). Let m(f) be the third derivative of -o*f**5 + 0*f**3 + 0*f + 2*f**2 + 0 + 1/16*f**4. Find q, given that m(q) = 0.
0, 1
Let i = -17 - -19. Solve -16*a**i - 32*a**3 + 2 + 14*a + 0 - 4 + 0*a = 0 for a.
-1, 1/4
Let w(r) be the first derivative of r**5/240 + r**4/12 + 7*r**3/24 + 13*r**2 - 18. Let u(k) be the second derivative of w(k). Find d, given that u(d) = 0.
-7, -1
Let m(z) be the first derivative of -z**4/6 - 7. Factor m(b).
-2*b**3/3
Let y(s) be the third derivative of -s**9/1440 - 9*s**8/4480 - s**7/840 - s**4/24 + 5*s**3/2 + 5*s**2. Let j(v) be the second derivative of y(v). Factor j(g).
-3*g**2*(g + 1)*(7*g + 2)/2
Let q be (14 + -20 + 7)/(6/4). Factor -50/3 - q*l**2 - 20/3*l.
-2*(l + 5)**2/3
Let r be (6/(-4))/(4/(-8)). What is k in 4*k**2 + 2*k**r + 10*k**4 - 2*k**2 + 0*k**5 - 2*k**5 - 12*k**4 = 0?
-1, 0, 1
Let f = -8905 - -8905. Suppose -2/5*k**2 - 2/5*k**3 + 2/5*k**5 + 2/5*k**4 + f*k + 0 = 0. What is k?
-1, 0, 1
Let d = -6886 + 6888. Factor -1/3*l**4 - 5/3*l**d - 2/3*l - 4/3*l**3 + 0.
-l*(l + 1)**2*(l + 2)/3
Let n(l) = l**2 - 40*l + 209. Let d be n(6). Let s(q) be the second derivative of -9/20*q**d + q**3 + 0*q**2 - 1/4*q**4 - 4*q + 0. Find m, given that s(m) = 0.
-1, 0, 2/3
Let k(g) be the first derivative of g**5/40 - 3*g**4/32 + g**3/8 - g**2/16 - 3*g + 8. Let m(s) be the first derivative of k(s). Factor m(u).
(u - 1)**2*(4*u - 1)/8
Let s(x) be the second derivative of -7*x**4/54 + 16*x**3/27 - 4*x**2/9 - 142*x. Solve s(b) = 0 for b.
2/7, 2
Let f(g) = -2*g**2 - 797*g - 78358. Let a(k) = 2*k**2 + 796*k + 78368. Let q(c) = 5*a(c) + 4*f(c). Factor q(i).
2*(i + 198)**2
Let y(k) be the third derivative of k**5/360 + 17*k**4/16 - 22*k**2 + 3. Factor y(s).
s*(s + 153)/6
Let u be (-16)/(-22)*11 + 124/(-16). Determine g, given that -5/4*g - u*g**2 + 3/2 = 0.
-6, 1
Let m(d) be the second derivative of d**9/60480 + d**8/6720 + d**7/2016 + d**6/1440 + 3*d**4/2 - 4*d. Let t(f) be the third derivative of m(f). Solve t(g) = 0.
-2, -1, 0
Suppose -22 = -31*n + 102. Solve -18/19*z + 4/19 + 30/19*z**2 + 6/19*z**n - 22/19*z**3 = 0.
2/3, 1
Let n(k) be the second derivative of -k**5/4 - 35*k**4/6 - 65*k**3/6 - k - 181. Let n(g) = 0. Calculate g.
-13, -1, 0
Factor -h**2 - 106*h + 188270 - 296*h - 228671.
-(h + 201)**2
Determine b, given that -28/3*b**2 + 8 + 20/3*b**3 - 20/3*b + 4/3*b**4 = 0.
-6, -1, 1
Let z(p) be the second derivative of 2/3*p**3 - 3*p**2 + 0 + 1/6*p**4 - 1/15*p**5 + 5*p - 1/30*p**6. Let h(t) be the first derivative of z(t). Factor h(l).
-4*(l - 1)*(l + 1)**2
Factor 1/4*j**5 - 7/4*j + 1/2*j**4 - 2*j**2 - 1/2*j**3 - 1/2.
(j - 2)*(j + 1)**4/4
Let s be (-36)/(-54) - (-6)/(-9). Let m(f) be the second derivative of s + 7*f - 5/12*f**4 + 7/6*f**3 - f**2. Factor m(o).
-(o - 1)*(5*o - 2)
Let r(l) = -l**4 + l**3 + l**2 + 2*l + 1. Let t(m) = -m**5 + 5*m**4 + 14*m**3 - 73*m**2 + 86*m - 43. Let a(g) = 3*r(g) + t(g). What is u in a(u) = 0?
-5, 1, 2
Let l = -44 - -49. Let 443*k**2 - 6*k**3 + l*k**4 - 440*k**2 - 2*k**4 = 0. What is k?
0, 1
Suppose 14*u - 17*u = 0. Let h be 2/((-2)/(-3)) + -1. Factor -2/9*o**3 - 2/9*o**4 + u + 0*o + 0*o**h.
-2*o**3*(o + 1)/9
Let i(m) = -m**2 + 489*m - 8928. Let u be i(19). Factor 1/2*k**2 + u - 5/2*k.
(k - 4)*(k - 1)/2
Factor 182/11*n + 2/11*n**3 + 90/11 + 94/11*n**2.
2*(n + 1)**2*(n + 45)/11
Factor -2/3*x + 0 + 14/9*x**2 + 2/9*x**4 - 10/9*x**3.
2*x*(x - 3)*(x - 1)**2/9
Let u(s) be the third derivative of -1/160*s**6 - 1/2*s**3 - 1/4*s**4 + 13*s**2 + 0 + 0*s - 1/16*s**5. Factor u(c).
-3*(c + 1)*(c + 2)**2/4
Suppose -64*w - 30*w**5 + 80*w**3 + 29*w**4 - 20*w**5 + 14*w**5 - 97*w**4 + 20*w**5 + 88*w**2 - 20 = 0. Calculate w.
-5, -1, -1/4, 1
Suppose -f = -8*f + 2*s + 14, -4*s = -6*s. Determine x, given that 0*x + 2/3*x**5 + 2/3*x**2 + f*x**3 + 0 + 2*x**4 = 0.
-1, 0
Let d(v) be the second derivative of 0*v**2 + 1/16*v**4 - 2*v + 0 - 3/160*v**5 + 0*v**3. Factor d(j).
-3*j**2*(j - 2)/8
Let w(k) = k**2 + 1. Let y = -18 - -19. Let j(i) = 14*i**2 + 14*i + 24. Let z(n) = y*j(n) - 12*w(n). Find u such that z(u) = 0.
-6, -1
Let 0 + 0*l - 1/3*l**2 + 1/6*l**3 = 0. What is l?
0, 2
Let t(o) = -39*o**3 - 297*o**2 - 453*o - 30. Let r(x) = -120*x**3 - 889*x**2 - 1358*x - 89. Let h(s) = 3*r(s) - 8*t(s). Solve h(w) = 0 for w.
-3, -1/16
Let q = 28 - 27. Suppose -11 - q = -6*u. Solve -4/3*v + 0 - 1/3*v**3 + 4/3*v**u = 0.
0, 2
Determine f so that 0 + 1/5*f**5 + 1/5*f**2 + 2/5*f - 3/5*f**3 - 1/5*f**4 = 0.
-1, 0, 1, 2
Let v(y) be the second derivative of y**4/78 + 64*y**3/39 + 1024*y**2/13 + 74*y. Find k, given that v(k) = 0.
-32
Let t(d) be the first derivative of -1/2*d**2 + 2/3*d**3 + 1/4*d**4 - 2*d + 5. Suppose t(j) = 0. What is j?
-2, -1, 1
Let l(g) be the third derivative of 1/24*g**4 + 0*g - 1/120*g**5 - 13*g**2 + 0*g**3 + 0. Let l(o) = 0. Calculate o.
0, 2
Let x(w) = -550*w + 1652. Let f be x(3). Let -1/4*v**f + 1/2*v + 3/4 = 0. What is v?
-1, 3
Let w(t) be the third derivative of -3/20*t**5 + 0 + 1/70*t**7 + 0*t + 4*t**2 + 1/4*t**4 + 0*t**6 + 0*t**3. Let w(k) = 0. Calculate k.
-2, 0, 1
Let j(l) be the third derivative of -l**9/5040 + l**8/700 - l**7/350 - 2*l**3/3 - 12*l**2. Let q(n) be the first derivative of j(n). Factor q(u).
-3*u**3*(u - 2)**2/5
Factor 72/5 - 24/5*g + 2/5*g**2.
2*(g - 6)**2/5
Suppose -5*f + 3 + 7 = 0. Factor -f*c**2 + c - c**3 - c**3 + 0*c**2 + 3*c**3.
c*(c - 1)**2
Let l(a) be the second derivative of -a**5/40 - a**4/3 - 7*a**3/4 - 9*a**2/2 - 644*a. Determine d so that l(d) = 0.
-3, -2
Let c = -43 - -45. What is z in -z**2 - 7*z**4 + 16*z**3 + 3*z**4 - 9*z**c - 6*z**2 = 0?
0, 2
Let y(j) be the first derivative of j**4/20 + 16*j**3/15 + 41*j**2/10 + 26*j/5 - 281. Solve y(g) = 0.
-13, -2, -1
Let d(a) be the first derivative of 5*a**4/12 + 5*a**3/3 + 5*a**2/2 + 17*a - 18. Let k(q) be the first derivative of d(q). Find w such that k(w) = 0.
-1
Let p(i) = 2*i**2 - 10*i + 10. Let n be p(4). Factor -14 + 14 + 13*u**3 + 12*u**n + 3*u**4 - 28*u**3.
3*u**2*(u - 4)*(u - 1)
Let w(q) = -7*q**2 + q - 2. Let z be w(1). Let g be (-576)/32*z/42. Factor 4*o + g - 12/7*o**2.
-4*(o - 3)*(3*o + 2)/7
Let p(s) be the first derivat