 third derivative of -j**8/588 + 2*j**7/105 + 13*j**6/42 + 157*j**5/105 + 76*j**4/21 + 104*j**3/21 - 12*j**2 - 9*j. Solve y(z) = 0.
-2, -1, 13
Let x = 143 - 148. Let v(g) = -2*g**2 + 12*g - 5. Let y(q) = -q**2 + 6*q - 2. Let c(k) = x*y(k) + 2*v(k). Find a such that c(a) = 0.
0, 6
Suppose 3*j - 4 = 2. Let n be 15/j - 15/10. Factor -n*v**2 - 3*v + 6*v + v.
-2*v*(3*v - 2)
Let n(v) be the first derivative of -5*v**6/72 - v**5/4 - 5*v**4/24 - 11*v**3/3 + 11. Let j(a) be the third derivative of n(a). Let j(x) = 0. Calculate x.
-1, -1/5
Factor -48/13 - 2/13*g**3 - 56/13*g - 20/13*g**2.
-2*(g + 2)**2*(g + 6)/13
Let i(q) = 15*q**3 + 54*q**2 + 285*q + 381. Let h(z) = -11*z**3 - 54*z**2 - 286*z - 382. Let f(v) = 3*h(v) + 2*i(v). Determine d so that f(d) = 0.
-8, -2
Let x(v) be the second derivative of v**6/8 - 27*v**5/20 + 5*v**4 - 6*v**3 + 9*v**2 + 39*v. Let p(d) be the first derivative of x(d). Factor p(c).
3*(c - 3)*(c - 2)*(5*c - 2)
Suppose -77*v + 47 = -184. Factor -15*z - 25 - v*z**2 - 1/5*z**3.
-(z + 5)**3/5
Let r be (10/12*1)/(2/12). Suppose r*b - 188 + 178 = 0. Factor 1/5*p**3 - 1/5 - 1/5*p + 1/5*p**b.
(p - 1)*(p + 1)**2/5
Let u(g) = 11*g**5 + 8*g**4 + 3*g**3 - 9*g**2. Let l(v) = -5*v**5 - 4*v**4 - v**3 + 4*v**2. Let b(s) = 13*l(s) + 6*u(s). Factor b(c).
c**2*(c - 2)*(c - 1)**2
Suppose 0 + 0*p - p**4 + 1/10*p**5 + 0*p**2 + 9/10*p**3 = 0. What is p?
0, 1, 9
Let q(k) be the second derivative of -2*k**7/21 + 44*k**6/15 - 27*k**5 + 350*k**4/3 - 808*k**3/3 + 336*k**2 + 535*k. Suppose q(x) = 0. Calculate x.
1, 2, 3, 14
Let v(l) be the second derivative of 5*l**7/42 + l**6/6 - 5*l**5/4 - 5*l**4/12 + 20*l**3/3 - 10*l**2 - 56*l. Factor v(i).
5*(i - 1)**3*(i + 2)**2
Let l be (-44)/11 + 2*4. Let u(k) be the third derivative of -2/3*k**3 + 4*k**2 + 1/105*k**7 + 0*k - 1/4*k**l + 1/30*k**5 + 0 + 1/20*k**6. Factor u(c).
2*(c - 1)*(c + 1)**2*(c + 2)
Suppose -1 = 4*g - 9. Factor 30*d**2 + 6*d**4 + 19*d**4 + 28*d - 36*d**g + 8 + 4*d**3 - 59*d**3.
(d - 2)*(d - 1)*(5*d + 2)**2
Let x = 57 - 52. Factor -5*y + 2*y**3 - 10*y**2 - 99*y**5 + 94*y**5 + 8*y**3 + x*y**4 + 5.
-5*(y - 1)**3*(y + 1)**2
Suppose 5*m - 28 = -4*o, 2*o - m = -o + 2. Factor -484*h**3 + 1360 - 176*h**o - 16*h - 1360.
-4*h*(11*h + 2)**2
Suppose -4*u - 598 = -3*l - 0*l, 2*l - 448 = 3*u. Let d = u + 152. Solve 0*k - 2/7*k**5 + 0 + 1/7*k**2 - 1/7*k**d + 2/7*k**3 = 0.
-1, -1/2, 0, 1
Let i = -22 - -20. Let n be (0/10)/(i*2/(-2)). Solve 2/9*d + n - 2/9*d**2 = 0 for d.
0, 1
Let k(f) be the third derivative of -f**5/100 + 27*f**4/8 + 68*f**3/5 + 7*f**2 - 19*f. Factor k(i).
-3*(i - 136)*(i + 1)/5
Let y(o) be the first derivative of -1/4*o**2 + 1/8*o**4 + 0*o**3 - 19 + 0*o. Determine q so that y(q) = 0.
-1, 0, 1
Suppose 454 = 18*a + 400. Let t(k) be the first derivative of 4/21*k**3 + a - 16/7*k + 4/7*k**2 - 1/14*k**4. Let t(y) = 0. Calculate y.
-2, 2
Let s = 19 - 4. Determine n so that 11*n - 5*n**4 - 10*n**3 - 3*n**2 + 23*n**2 - s - n = 0.
-3, -1, 1
Suppose 23*p - 316 = -270. Factor -6/5*u**p - 2/5*u**3 + 2/5*u + 2/5*u**4 + 4/5.
2*(u - 2)*(u - 1)*(u + 1)**2/5
Let a(g) = -11*g**2 - 40*g - 29. Let d(p) = -6*p**2 - 21*p - 15. Let y(r) = -3*a(r) + 5*d(r). Let y(h) = 0. What is h?
-4, -1
Find t, given that -20480 + 405/2*t**5 - 70080*t**2 + 34600*t**3 - 84480*t - 4680*t**4 = 0.
-4/9, 8
Let d = -6 + 8. Let f = -21 - -23. Solve 7*m**2 - 3*m - d*m**2 + 4*m - 4*m**f = 0 for m.
-1, 0
Let r(g) = -g**2 - 22*g - 110. Let p be r(-14). What is q in -6*q + 2 - 3*q**3 + 13/2*q**p + 1/2*q**4 = 0?
1, 2
Let v = -88 - -90. What is s in 95*s**v + 40*s**3 + 19*s - 6*s**4 + s - 14*s**4 + 15*s**3 = 0?
-1, -1/4, 0, 4
Let s(v) be the third derivative of 0*v + 1/60*v**6 + 1/4*v**4 + 16*v**2 - 1/3*v**3 - 1/10*v**5 + 0. Factor s(r).
2*(r - 1)**3
Factor -6 + 65/7*v - 3/7*v**2 + 1/7*v**4 - 3*v**3.
(v - 21)*(v - 1)**2*(v + 2)/7
Let s be (-1)/(-4) + (39/4 - -5). Let p be (-15)/(-25)*230/s. Factor -4/5*z - 14/5*z**5 - 54/5*z**3 + 26/5*z**2 + 0 + p*z**4.
-2*z*(z - 1)**3*(7*z - 2)/5
Let f(a) be the second derivative of -a**6/1440 + 13*a**3/6 + 9*a. Let q(v) be the second derivative of f(v). Factor q(z).
-z**2/4
Let r(s) = 3*s**2 - 9*s - 3. Let p(q) be the first derivative of q + 29. Let v(j) = -3*p(j) - r(j). Determine k, given that v(k) = 0.
0, 3
Let r(w) = w**2 + 4*w - 6. Let t be r(-6). Let o be (2 + -6)*(t/(-22))/3. Factor -6/11*h + 2/11 + 4/11*h**3 - 6/11*h**4 + 2/11*h**5 + o*h**2.
2*(h - 1)**4*(h + 1)/11
Let s(l) be the second derivative of l**6/6 - 7*l**5/4 + 10*l**4/3 + 40*l**3/3 + 30*l. Factor s(y).
5*y*(y - 4)**2*(y + 1)
Let r = -2637 + 2640. Factor 3*i + 1/8*i**r + 2 + 9/8*i**2.
(i + 1)*(i + 4)**2/8
Let c(s) = s**4 + 9*s**3 + 24*s**2 - 36*s + 4. Let k(i) = -2*i**4 - 17*i**3 - 48*i**2 + 72*i - 10. Let g(f) = 5*c(f) + 2*k(f). Factor g(x).
x*(x - 1)*(x + 6)**2
Let c(d) be the first derivative of -2*d**3/21 - 4*d**2 + 58*d/7 + 309. Suppose c(r) = 0. What is r?
-29, 1
Let t(i) be the third derivative of 1/56*i**6 - 9/56*i**4 - 1/490*i**7 - 3/140*i**5 - 25*i**2 + 0*i**3 + 0*i + 0. Let t(o) = 0. Calculate o.
-1, 0, 3
Let f(x) be the third derivative of -x**8/448 + x**7/280 + x**6/10 + x**5/4 + 47*x**2 - x. Determine u so that f(u) = 0.
-2, 0, 5
Let c(d) be the first derivative of d**5/5 - 3*d**4/4 + 2*d**3/3 + 59. Determine s so that c(s) = 0.
0, 1, 2
Let d(h) be the third derivative of -h**8/3360 - 11*h**7/7560 - h**6/360 - h**5/360 - 3*h**4/8 - 2*h**2. Let i(a) be the second derivative of d(a). Factor i(t).
-(t + 1)*(2*t + 1)*(3*t + 1)/3
Let a(u) be the third derivative of u**8/588 - 2*u**7/35 + 37*u**6/105 + 128*u**5/35 + 48*u**4/7 + 7*u**2 + 50*u. Determine o, given that a(o) = 0.
-2, -1, 0, 12
Suppose 3*s + 6*s - 62 = -26. Factor -4/3*v**3 - 2/3*v**s + 0 + 0*v**2 + 0*v.
-2*v**3*(v + 2)/3
Let i(t) be the second derivative of t**6/270 + t**5/72 + t**4/72 - 2*t**3 - 14*t. Let w(j) be the second derivative of i(j). Factor w(n).
(n + 1)*(4*n + 1)/3
Let p(l) = -l**2 - 7*l - 4. Let k be p(-6). Let u be 7/k + 2/(-4). Let -27*v**4 - 5 + 6 - 6*v**u - 1 = 0. Calculate v.
-2/9, 0
Let d be 554/567 + 8/140*-5. Let f = d - 2/81. Factor -f*b**5 + 4/3*b**4 + 0 + 2/3*b + 0*b**3 - 4/3*b**2.
-2*b*(b - 1)**3*(b + 1)/3
Let j(n) be the first derivative of n**4/18 - 10*n**3/27 + 4*n**2/9 + 709. Factor j(v).
2*v*(v - 4)*(v - 1)/9
Let d be 145/150 + (-48)/60. Factor 3/2 + q + d*q**2.
(q + 3)**2/6
Let p(j) be the third derivative of j**10/166320 + j**9/41580 + j**8/36960 + j**4 + 33*j**2. Let b(s) be the second derivative of p(s). Solve b(m) = 0.
-1, 0
Let w be 1548/172 + -2*2. Factor w + 5/2*t**2 - 15/2*t.
5*(t - 2)*(t - 1)/2
Suppose 24 - 87*n - 250*n**2 + 16 + 0 - 4*n - 65*n**3 - 129*n = 0. Calculate n.
-2, 2/13
Let u(p) be the first derivative of 2 + 2/5*p - 1/5*p**4 + 2/5*p**2 + 0*p**3 - 2/25*p**5. Determine i, given that u(i) = 0.
-1, 1
Let t(v) = 4*v + 7. Let r be t(8). Let z = 39 - r. Factor -2/15*j**3 - 4/15*j**2 + 0 + z*j.
-2*j**2*(j + 2)/15
Let r be 10/2 - 3 - 2. Solve 2*u**5 - u + r*u + 10*u**3 - 7*u**5 - 4*u = 0.
-1, 0, 1
Let m(r) be the third derivative of -r**5/570 + 7*r**4/57 - 9*r**3/19 - r**2 - 96. Factor m(w).
-2*(w - 27)*(w - 1)/19
Let l(g) be the third derivative of 5*g**8/16128 + g**7/1008 + g**6/720 - 11*g**5/60 - 31*g**2. Let h(a) be the third derivative of l(a). Factor h(n).
(5*n + 2)**2/4
Let j be 3/((-273)/(-259)) + (-16)/(-104). Factor 1/3*y + 1 - 1/3*y**j - y**2.
-(y - 1)*(y + 1)*(y + 3)/3
Factor 427*l - 538*l - 3*l**2 + 279*l.
-3*l*(l - 56)
Suppose -v + 1 + 17 = 0. Suppose -7*d**4 + 43*d**2 + v - 3*d**5 - 5*d**4 - 12*d**2 + 11*d**2 + 51*d = 0. What is d?
-3, -1, 2
Suppose -a + 6 = -2*c, 5*c = -3*a - 0*a - 4. Suppose -3*l = 3, -v = a*l - 4 + 3. Let i**4 - i**5 - 3*i**2 + 2*i**2 - 2*i**v + 2*i**5 + i**3 = 0. Calculate i.
-1, 0, 1
Factor 2/5*k**4 + 0*k - 4/5*k**2 + 2/5 + 0*k**3.
2*(k - 1)**2*(k + 1)**2/5
Let v(f) be the second derivative of -f**4/48 - f**3/4 - 5*f**2/8 + 38*f + 2. Factor v(b).
-(b + 1)*(b + 5)/4
Let v(l) be the third derivative of -l**6/24 + l**5/4 - 5*l**4/12 + 86*l**2. Factor v(p).
-5*p*(p - 2)*(p - 1)
Let z(o) be the third derivative of 2/735*o**7 + 0*o + 0*o**4 - 8*o**2 + 0*o**3 + 0*o**5 - 1/105*o**6 + 0. Factor z(y).
4*y**3*(y - 2)/7
Factor -7560*u - 3/2*u**3 - 7350 - 423/2*u**2.
-3*(u + 1)*(u + 70)**2/2
Let j(