- 19)**4
Let 10*x**4 + 5*x**2 - 10 + 13*x**4 - 18*x**4 - 5*x - 10*x + 15*x**3 = 0. Calculate x.
-2, -1, 1
Let q(d) be the second derivative of d**8/11760 - d**7/2940 + d**5/420 - d**4/168 + d**3 - 4*d. Let x(k) be the second derivative of q(k). Factor x(l).
(l - 1)**3*(l + 1)/7
Let h be (7 - 8)*34/(-2). Suppose -33 - h = -5*d. Let 0*y**2 - 4*y**2 - 8*y**4 + 3*y**5 + d*y**3 - y**5 = 0. What is y?
0, 1, 2
Factor -12/7*p**3 + 0*p - 4/7*p**4 + 0 + 0*p**2.
-4*p**3*(p + 3)/7
Let u(i) be the second derivative of -i**4/48 + i**3/2 + 13*i**2/8 + 134*i. Suppose u(q) = 0. Calculate q.
-1, 13
Let o(u) be the third derivative of -u**8/60480 + u**6/2160 + u**5/5 + 11*u**2. Let v(r) be the third derivative of o(r). Factor v(x).
-(x - 1)*(x + 1)/3
Let m(h) be the second derivative of -2*h**7/21 + 3*h**5/5 - 2*h**4/3 - 233*h. Solve m(v) = 0.
-2, 0, 1
Let x(j) = -8*j**2 + 7*j. Let g(m) = 41*m**2 - 35*m. Let k(s) = 2*g(s) + 11*x(s). Let q(a) = -5*a**2 + 6*a. Let w(l) = -6*k(l) + 7*q(l). Factor w(t).
t**2
Suppose -5*c - 7*h + 3*h = -14, -c - 4*h + 6 = 0. Factor -64 + n**3 + 64 + n**3 - c*n**5.
-2*n**3*(n - 1)*(n + 1)
Suppose -6*q - 3*q = 5*q. Factor q*g - 2 + 10*g**2 + g - 20*g**2 + 11*g**2.
(g - 1)*(g + 2)
Let n(o) = o**2 + 86*o - 174. Let d be n(2). Let k(m) = m**2 + 4*m - 2. Let i be k(-5). Factor 3/2*w**3 + 3/2*w + i*w**d + 0.
3*w*(w + 1)**2/2
Let o(b) be the third derivative of b**10/226800 + b**9/90720 + 4*b**5/15 + 7*b**2. Let w(k) be the third derivative of o(k). Find z, given that w(z) = 0.
-1, 0
Let n(b) be the third derivative of -b**7/70 + 3*b**6/10 - 27*b**5/20 - b**4/2 + 18*b**3 - 172*b**2 - 2. Determine j so that n(j) = 0.
-1, 2, 9
Let y(s) be the first derivative of -s**7/60 - s**6/120 + 7*s**5/30 + s**4/6 + 31*s**2/2 - 34. Let a(q) be the second derivative of y(q). Factor a(j).
-j*(j - 2)*(j + 2)*(7*j + 2)/2
What is d in 20 + 2/7*d**2 - 142/7*d = 0?
1, 70
Suppose m = -2*s + 3*m, -5*m = 2*s - 14. Suppose -18 = -s*d - 8. Solve -8*g - 5*g**4 + 14*g**d + 0*g**3 - 66*g**3 + 11*g**5 - 44*g**2 = 0 for g.
-1, -2/5, 0, 2
Suppose -240 = 9*z - 0*z - 89*z. Factor -2*c**2 + 1/3*c**z - 4/3 + 3*c.
(c - 4)*(c - 1)**2/3
Let 0 + 107/2*j + 1/2*j**2 = 0. Calculate j.
-107, 0
Let v be (-276)/(-1122) + 28/238. Factor 0 + 2/11*f - 6/11*f**3 - v*f**2.
-2*f*(f + 1)*(3*f - 1)/11
Suppose 0 = -h - 3*h + 44. Factor 7*g**2 + 4*g**3 - 4*g + 4*g**4 - h*g**2 + 0*g**2 + 0*g.
4*g*(g - 1)*(g + 1)**2
Let r = 21025/3 + -7008. Let f be 1/(-3)*1 + 1. Let f - r*o**2 - 1/3*o = 0. What is o?
-2, 1
Let l(s) be the third derivative of s**5/60 - 13*s**4/8 - 14*s**2 + 2*s. Factor l(k).
k*(k - 39)
Let l(v) be the first derivative of -5*v**6/6 + 37*v**5/5 - 11*v**4 - 148*v**3/3 + 112*v**2 - 64*v - 534. Solve l(u) = 0.
-2, 2/5, 1, 4
Suppose 4*b - 12 = b. Suppose -24 = -2*c + 3*m, -3*c = -c + 3*m. Determine g so that -c*g**5 + 2*g**3 + 8*g**5 - b*g**3 = 0.
-1, 0, 1
Let w be (7 - 122/18) + (-2)/12. Let a(r) be the third derivative of -1/9*r**3 - 8*r**2 - 1/90*r**5 + w*r**4 + 0*r + 0. Factor a(q).
-2*(q - 1)**2/3
Let n(b) = -b + 6. Let m be ((-64)/24)/((-4)/6). Let l be n(m). Suppose 0*s + 2*s**2 - 5*s**l - 3*s = 0. Calculate s.
-1, 0
Factor -36/5*p**2 - 18/5*p**4 + 0 + 39/5*p**3 + 3/5*p**5 + 12/5*p.
3*p*(p - 2)**2*(p - 1)**2/5
Find x such that 2 - 2/3*x**3 - 2*x**2 + 2/3*x = 0.
-3, -1, 1
Let r(o) = 46*o**2 - 1. Let h be r(1). Solve -2*p - 5*p**3 + 35*p**2 - p - 45*p - 27*p + h = 0 for p.
1, 3
Find p such that 9*p**2 + 575*p - 282*p - 287*p + 3*p**3 = 0.
-2, -1, 0
Let w(k) be the second derivative of -25*k + 0*k**2 + 0*k**3 - 5/6*k**4 + 1/6*k**6 + 0 - 1/4*k**5. Find d, given that w(d) = 0.
-1, 0, 2
Suppose 1295*q - 1319*q = -48. Factor -4/3 + 2/3*u**q + 2/3*u.
2*(u - 1)*(u + 2)/3
Suppose r = -17 + 10. Let z(t) = t**3 + 8*t**2 + 6*t - 5. Let s be z(r). Factor 14/3*d + 4 - 2*d**s.
-2*(d - 3)*(3*d + 2)/3
What is k in 0 - 10/3*k**2 - 8/3*k**3 + 8/3*k - 1/2*k**5 + 17/6*k**4 = 0?
-1, 0, 2/3, 2, 4
Factor -12*l**4 + 54*l**2 - 202*l**3 - 3*l**5 + 406*l**3 - 195*l**3.
-3*l**2*(l - 2)*(l + 3)**2
Let t be 8/(-2) - (-7 - -3). Let g = -40 - -40. What is w in -1/2*w**2 + g + t*w = 0?
0
Let g(k) be the first derivative of -1/27*k**6 + 1/9*k**4 + 0*k - 6 + 0*k**5 + 0*k**3 - 1/9*k**2. Factor g(j).
-2*j*(j - 1)**2*(j + 1)**2/9
Let r(k) be the third derivative of -k**8/560 + 4*k**7/175 + k**6/10 + k**5/50 - 19*k**4/40 - k**3 + 17*k**2 + k. Let r(g) = 0. Calculate g.
-1, 1, 10
Let l(t) be the first derivative of -2*t**5/35 - 57*t**4/7 - 2888*t**3/7 - 54872*t**2/7 - 29. Let l(d) = 0. Calculate d.
-38, 0
Let q(g) be the second derivative of -g**6/210 + g**4/14 - 4*g**3/21 - 11*g**2/2 + 3*g + 9. Let t(m) be the first derivative of q(m). Let t(z) = 0. What is z?
-2, 1
Determine p so that 52*p**2 - 48*p**3 + 562*p**4 + 0*p + 0*p - 566*p**4 = 0.
-13, 0, 1
Let k(d) be the first derivative of -d**3/3 - 4*d**2 + 13*d + 5. Let w be k(-9). Factor -5*i**4 - 8*i**3 - 4*i + 10*i**2 + 13*i**4 - 6*i**w.
2*i*(i - 2)*(i - 1)**2
Let w(t) be the first derivative of -3*t**5/5 + 417*t**4/2 - 19321*t**3 + 766. Let w(y) = 0. What is y?
0, 139
Let k be 24/13 - 18/(-117). Suppose k*f - 1 - 7 = 0. Factor 3*j**2 + j**4 - j**4 + 4*j**f + 4*j - 2*j**3 - 4 - 5*j**4.
-(j - 1)**2*(j + 2)**2
Suppose -16 = -4*j + s - 14, -3*j + 30 = 4*s. Solve 24/11*x**3 - 6/11*x**5 + 16/11*x**j + 0 + 0*x - 4/11*x**4 = 0.
-2, -2/3, 0, 2
Let t = -241/5 + 483/10. Let u(g) be the second derivative of -5*g - 1/3*g**4 + 2*g**2 + t*g**5 - 1/3*g**3 + 0. Find d, given that u(d) = 0.
-1, 1, 2
Factor -76832/3 + 784/3*g - 2/3*g**2.
-2*(g - 196)**2/3
Let x(f) be the first derivative of f**7/140 - f**6/450 - 3*f**3 + 8. Let b(w) be the third derivative of x(w). Factor b(t).
2*t**2*(15*t - 2)/5
Let b be 6 + 1284/(-45)*3. Let l = b + 80. Determine m, given that -l*m + 1/5*m**3 - 3/5*m**2 + 0 + 3/5*m**4 + 1/5*m**5 = 0.
-2, -1, 0, 1
Let o(n) = -n**2 + n + 2. Let d be o(0). Let l = 4015/4 + -1003. Factor 9/4*k - 3/2 - l*k**d.
-3*(k - 2)*(k - 1)/4
Let d be 3*8/(-60)*-5. Factor -l**3 - l**3 + l**3 - 4*l**d.
-l**2*(l + 4)
Let p(f) = f**3 - 23*f**2 - 18*f - 7. Let a be p(24). Let z = a + -133. Factor 0*j**2 + 0*j + 0 - 2/7*j**3 - 2/7*j**z.
-2*j**3*(j + 1)/7
Let a(n) be the second derivative of -19*n + 29/18*n**3 + 5/4*n**4 + n**2 + 2/5*n**5 + 0 + 2/45*n**6. Factor a(k).
(k + 2)*(k + 3)*(2*k + 1)**2/3
Suppose -4*m + 20 = 0, 2*f - 3*m = m - 376. Let j = 371/2 + f. Factor j*l + 9/2 + 3/2*l**2 - 3/2*l**3.
-3*(l - 3)*(l + 1)**2/2
Factor -12*v**3 - 2072 + 2072 - 8*v - 2*v**4 - 18*v**2.
-2*v*(v + 1)**2*(v + 4)
Let w = 1620 - 8096/5. Factor w*a**4 + 2/5*a**5 + 0*a**3 - 4/5*a**2 - 2/5*a + 0.
2*a*(a - 1)*(a + 1)**3/5
Let p(g) be the first derivative of g**6/8 - 3*g**5/5 + 9*g**4/16 + g**3 - 3*g**2/2 - 84. Determine y so that p(y) = 0.
-1, 0, 1, 2
Let u(x) be the third derivative of -x**5/12 - 65*x**4/24 - 100*x**3/3 + 31*x**2. Suppose u(z) = 0. Calculate z.
-8, -5
Let x(m) be the first derivative of -m**6/6 + m**5 - 3*m**4/4 - 5*m**3/3 + 2*m**2 + 97. Solve x(f) = 0 for f.
-1, 0, 1, 4
Let o = -3 + 18. Suppose 0*f = 3*f - o. Factor f*j**5 - 14*j**4 - 2*j**2 - j**5 + 2*j + 18*j**3 - 8*j**2.
2*j*(j - 1)**3*(2*j - 1)
Let a(i) be the first derivative of 5/6*i**6 + i**5 + 15 - 20/3*i**3 + 0*i - 15/2*i**4 + 20*i**2. Factor a(p).
5*p*(p - 2)*(p - 1)*(p + 2)**2
Let k(m) = -m**2 - 6*m - 6. Let q be k(-3). Suppose c - 8 = -q*c. Factor -c*n**3 - 29*n**2 + 35*n**2 - 4*n + 0*n.
-2*n*(n - 2)*(n - 1)
Let t(w) be the second derivative of w**5/170 - 4*w**4/51 - 19*w**3/51 - 10*w**2/17 - 8*w. Factor t(z).
2*(z - 10)*(z + 1)**2/17
Let h be 4/46*(-1 - (-48)/45). Let f = h - -1366/2415. Suppose f - 2/7*o**2 + 2/7*o = 0. Calculate o.
-1, 2
Let p(r) be the third derivative of r**6/60 + 3*r**5/10 - 36*r**3 + 255*r**2. Factor p(n).
2*(n - 3)*(n + 6)**2
Let o = -13794 + 13796. Factor -2/3*g**o + 6*g - 16/3.
-2*(g - 8)*(g - 1)/3
Let t = 12 - 10. Let q be 0/(-4) + (t - 0). Factor -38*j - q*j**5 + 3*j**3 + 36*j + j**3.
-2*j*(j - 1)**2*(j + 1)**2
Let f(w) be the first derivative of w**7/1890 + w**6/324 + w**5/540 - w**4/54 + 13*w**3/3 - 9. Let g(p) be the third derivative of f(p). Factor g(x).
2*(x + 1)*(x + 2)*(2*x - 1)/9
Factor -2/3*z**2 + 154/3 - 152/3*z.
-2*(z - 1)*(z + 77)/3
Let g(n) = -12*n**2 - 297*n. Let y(i) = -3*i**2 