first derivative of 7*f**4/8 - 5*f**3 + 23*f**2/4 + 338. Factor x(m).
m*(m - 1)*(7*m - 23)/2
Suppose 1195*z = 1199*z - 8. Let -2/9*a + 0 + 0*a**z + 2/9*a**3 = 0. Calculate a.
-1, 0, 1
Let i = -19059 - -95296/5. Suppose 1/5*k**2 + 0*k - i = 0. Calculate k.
-1, 1
Let m(n) be the second derivative of -2/3*n**2 + 12*n + 0 + 1/18*n**4 - 1/9*n**3. Factor m(g).
2*(g - 2)*(g + 1)/3
Let v = -35 + 37. Factor -21*a**3 - 2*a - 12*a**2 + 6*a**3 + 2*a**v + 9*a**3 + 18*a**4.
2*a*(a - 1)*(3*a + 1)**2
Let z(s) be the third derivative of s**6/72 - s**5/6 + 5*s**4/6 - 4*s**3 + 27*s**2. Let d(k) be the first derivative of z(k). Determine h so that d(h) = 0.
2
Suppose -119*i + 12 = -151 - 75. What is t in 1/3*t**i - 2/3 - 1/3*t = 0?
-1, 2
Let j be (24/(-20))/(12/(-30)). Suppose -3*l + 2*c = c - 8, -j*c = -12. Factor 2/5*r**l - 2/5*r**3 + 0 - 2/5*r**2 + 2/5*r.
2*r*(r - 1)**2*(r + 1)/5
Let s(f) be the first derivative of -f**4/12 + 37*f**3/9 + 20*f**2/3 - 76*f/3 + 598. Determine j, given that s(j) = 0.
-2, 1, 38
Let w(k) be the first derivative of -1/3*k**3 + 3/2*k**2 - 6 + 4*k. Factor w(n).
-(n - 4)*(n + 1)
Let m = 7731 + -7729. Factor m*t**2 + 0 - 2/5*t - 8/5*t**3.
-2*t*(t - 1)*(4*t - 1)/5
Suppose -5/7*b**2 - 10/7 - 27/7*b = 0. Calculate b.
-5, -2/5
Suppose -5*z - 5 + 10 = 0. Solve 3*s**3 - 2*s**2 - 4 - 3*s - 3 + z + 8*s**2 = 0.
-2, -1, 1
Let d(m) be the second derivative of 0 + 1/70*m**7 + 0*m**4 - 3*m**2 + m - 1/40*m**6 + 0*m**5 + 0*m**3. Let i(t) be the first derivative of d(t). Factor i(y).
3*y**3*(y - 1)
Let r = -26913 + 26915. Solve 1/3*h**3 - 1/3*h + 0*h**r + 0 = 0.
-1, 0, 1
Let b = 132/281 - -1060/2529. Factor -2/9*r**2 + 8/9*r - b.
-2*(r - 2)**2/9
Let f(i) be the second derivative of i**5/30 + i**4/6 + i**3/3 + 15*i**2/2 - 3*i. Let z(l) be the first derivative of f(l). What is p in z(p) = 0?
-1
Let k(s) be the second derivative of 2*s**7/105 - s**6/15 + s**5/15 + 10*s**2 + 16*s. Let g(f) be the first derivative of k(f). Factor g(c).
4*c**2*(c - 1)**2
Let h(y) = y**2 - 5*y + 6. Let q be h(4). What is x in 0 - 4 + 15*x - 8 - 6 - 3*x**q = 0?
2, 3
Suppose 218*s - 193*s - 50 = 0. Suppose 2/5*z + 2/15*z**s + 0 = 0. Calculate z.
-3, 0
Let i = 23 + -13. Suppose 3*z = 2*t - 18 - 1, -11 = -t + 2*z. Factor 24*n**3 - i*n**4 - 6*n**4 - 30*n**2 + 21*n**3 + t*n - 4*n**4.
-5*n*(n - 1)**2*(4*n - 1)
Let k(f) be the second derivative of 0 + 0*f**2 - f**3 - 3/8*f**5 + 37*f - 1/20*f**6 - f**4. Let k(d) = 0. Calculate d.
-2, -1, 0
Let m = 21971 - 21968. Suppose 2/11*i**m + 0*i + 2/11*i**2 + 0 = 0. Calculate i.
-1, 0
Let q(v) be the second derivative of 5*v**4/12 - 5*v**3 + 25*v**2/2 + 53*v + 3. Suppose q(i) = 0. What is i?
1, 5
Factor -38*n**3 + 0*n + 15*n**3 + 18*n**3 - 20*n - 25*n**2.
-5*n*(n + 1)*(n + 4)
Let j(y) = 23*y**2 - 422*y + 1782. Let k(o) = 45*o**2 - 845*o + 3573. Let v(l) = 5*j(l) - 2*k(l). What is q in v(q) = 0?
42/5
Let k(w) = -280*w - 3*w**2 + 282*w + 8 + 1 + 10*w**3. Let u(h) = -h**3 - 1. Let p(o) = -2*k(o) - 18*u(o). Determine l, given that p(l) = 0.
0, 1, 2
Let n = -6 - -20. Let q = n - 12. Factor 8 + 12*c - 9*c**2 + q*c**2 + 0*c**2 - c**2.
-4*(c - 2)*(2*c + 1)
Suppose 33 = 5*r - 12. Let m be 4/(55/(-15) + 5). Factor -m*i - 14*i**2 - r*i**2 + 26*i**2.
3*i*(i - 1)
Let n(a) be the second derivative of -25*a - 7*a**4 - 8*a**2 + 4*a**5 + 10/3*a**6 - 40/3*a**3 + 2. Solve n(y) = 0.
-1, -2/5, 1
Let o(l) be the second derivative of -1/4*l**4 + 1/10*l**6 + 0 + 0*l**2 - 1/2*l**3 + 13*l + 3/20*l**5. Factor o(j).
3*j*(j - 1)*(j + 1)**2
Suppose 6*o = 7*o - w - 1, 0 = 2*o + 2*w + 2. Let t be o + -1 - ((-48)/10)/4. Let -4/5 + 3/5*r + t*r**2 = 0. What is r?
-4, 1
Let t be -4*((-3)/(-9) + 10/(-12)). Suppose -5*b + 3*b + 4 = 0. What is v in -3*v**4 - t*v**4 + v + v**b + v**2 + 3*v**4 - v**5 = 0?
-1, 0, 1
Let r(l) be the first derivative of -l**6/1260 - l**5/70 - 3*l**4/28 - 19*l**3/3 - 2. Let f(a) be the third derivative of r(a). Find b, given that f(b) = 0.
-3
Let q = 4558 + -4556. Solve -2/3*b - 2/3*b**q + 2/3*b**3 + 2/3*b**4 + 0 = 0 for b.
-1, 0, 1
Factor -30/7 - 2/7*l**2 - 16/7*l.
-2*(l + 3)*(l + 5)/7
Let v(u) be the third derivative of -u**8/8960 - u**7/1680 - u**6/720 + u**5/15 + 3*u**2. Let q(g) be the third derivative of v(g). Factor q(s).
-(3*s + 2)**2/4
Factor -63*o - 58*o**3 + 8*o**2 + 17*o**2 + 54 + 55*o**3 - o**2.
-3*(o - 3)**2*(o - 2)
Let r = -6312 - -6317. Factor 0*q**2 + 0*q**3 - 1/7*q**r - 1/7*q**4 + 0 + 0*q.
-q**4*(q + 1)/7
Let k(x) be the second derivative of -x**7/42 - 13*x**6/30 - 23*x**5/10 + 5*x**4/6 + 175*x**3/6 - 125*x**2/2 + 73*x. Solve k(h) = 0.
-5, 1
Let y(v) = 142*v - 139. Let w be y(1). Factor 0 + 0*g**w - 4/13*g - 6/13*g**2 + 2/13*g**4.
2*g*(g - 2)*(g + 1)**2/13
Suppose -5*u + u = 7*u. Let d(i) be the first derivative of -1/22*i**4 - 2/33*i**3 - 1 + u*i + 2/11*i**2. Factor d(c).
-2*c*(c - 1)*(c + 2)/11
Suppose 4*u - 14 = -2*g, 1 = g - u - 3. Let l(x) be the second derivative of 7*x + 3/8*x**3 - 1/4*x**4 + 0 + 3/80*x**g + 0*x**2. Solve l(j) = 0 for j.
0, 1, 3
Let t(y) = 9*y**2 - 90*y + 1853. Let i(r) = 7*r**2 - 89*r + 1852. Let q(c) = 4*i(c) - 3*t(c). Factor q(x).
(x - 43)**2
Let t(l) be the second derivative of l**4/36 + l**3/3 + 4*l**2/3 - 54*l. Suppose t(r) = 0. Calculate r.
-4, -2
Let g(k) be the second derivative of k**4/15 + 196*k**3/15 + 4802*k**2/5 + 114*k. Determine s so that g(s) = 0.
-49
Let l(z) = z**4 - z**3. Let t(i) = 8*i**4 - 26*i**3 + 24*i**2 + 48*i. Let n(b) = 5*l(b) - t(b). Factor n(p).
-3*p*(p - 4)**2*(p + 1)
Suppose -4*n = -3*c + 3, -2*n - c + 0*c + 11 = 0. Find d such that n + 12*d + 2 - 16*d**2 + 1 - 2 = 0.
-1/4, 1
Factor 0 - 1/4*s**2 + 0*s.
-s**2/4
Let v = -1774 + 1781. Let w(g) be the third derivative of -1/168*g**8 - 1/21*g**v + 8*g**2 - 5/12*g**4 + 0 - 1/6*g**6 + 0*g - 1/3*g**5 - 1/3*g**3. Factor w(t).
-2*(t + 1)**5
Let d(c) be the third derivative of 1/195*c**5 + 0 - 1/780*c**6 + 0*c - 1/156*c**4 + 0*c**3 - 30*c**2. Let d(h) = 0. What is h?
0, 1
Let x(v) be the first derivative of -v**2 + 6*v - 2*v**3 + 1/2*v**4 - 11. Find s such that x(s) = 0.
-1, 1, 3
Factor 1/5*c**2 + 38/5*c + 0.
c*(c + 38)/5
Let w(r) be the first derivative of 5*r**3/18 + 55*r**2/12 + 15*r + 31. Let w(q) = 0. Calculate q.
-9, -2
Let q(a) be the second derivative of 0 + 1/10*a**5 + 1/63*a**7 + 0*a**2 - 1/18*a**4 - 1/15*a**6 + 0*a**3 - 15*a. Let q(y) = 0. Calculate y.
0, 1
Let u(g) be the second derivative of -g**5/10 + 5*g**4/6 - 7*g**3/3 + 3*g**2 + 41*g. Factor u(w).
-2*(w - 3)*(w - 1)**2
Let k = -86 + 90. Suppose 0 = 2*p - k, -3*x - 2*p + 16 = x. Factor -27/4*l**2 - 3/4*l**4 - 3/2 - 21/4*l - 15/4*l**x.
-3*(l + 1)**3*(l + 2)/4
Suppose 0*z + 3*z + 36 = 0. Let v be 1/2 + (-18)/z. Factor -v*p**2 - p**3 - 8*p**4 + 3*p**4 + 4*p - 5*p**3 + 2*p**5 + 7*p**4.
2*p*(p - 1)**2*(p + 1)*(p + 2)
Let j(p) = -p**3 - 6*p**2 - 9*p - 2. Let d be j(-2). Suppose 12 = 4*f + b, 2*f - 3*f + 2*b - 6 = d. Let 2/7 - 2/7*u**f + 0*u = 0. Calculate u.
-1, 1
Factor 5/2*f**2 + 1/2*f**3 + 0 + 3*f.
f*(f + 2)*(f + 3)/2
Let m(j) be the second derivative of j**7/294 + 59*j**6/210 - 157*j**5/70 + 97*j**4/21 + 124*j**3/21 - 256*j**2/7 + 16*j - 2. Factor m(t).
(t - 2)**3*(t + 1)*(t + 64)/7
Factor -2*d**2 - 1263 + 17*d - 305 + 79*d + 0*d**2 + 16*d.
-2*(d - 28)**2
Let x(v) be the second derivative of -v**6/35 - v**5/7 - 2*v**4/7 - 2*v**3/7 - v**2/7 + v - 121. Factor x(i).
-2*(i + 1)**3*(3*i + 1)/7
Suppose -2*u + 9 - 1 = 0. Let w be 1 + u/(-2) - -4. Factor 0*x**2 - w*x**3 + x + 2*x + 6*x**2 - 3 - 3*x**2.
-3*(x - 1)**2*(x + 1)
Let w be 466/8 + (-12)/48. Suppose 16*l**2 + 26*l + 32*l + 20*l**3 - w*l + 4*l**4 = 0. Calculate l.
-4, -1, 0
Let z be ((4/6)/(-1))/((-44)/330). Let f(c) be the first derivative of 3/5*c**4 - 18/25*c**5 + 0*c - 2/5*c**2 + z + 2/3*c**3. Solve f(l) = 0.
-2/3, 0, 1/3, 1
Let b(w) = 5*w - 48. Let h be b(11). Let u be 30/(-168) - (-3)/h. Factor 0*d**2 + 1/4*d**3 - u*d**5 + 0*d + 0*d**4 + 0.
-d**3*(d - 1)*(d + 1)/4
Let y be (60/(-55))/6*(-13 + 2). Suppose -s + 2*k = 7*k - 20, 5*s = k + 22. Factor 2/3 - 4/3*z**4 + 5/3*z - 4/3*z**3 + 2/3*z**y - 1/3*z**s.
-(z - 1)*(z + 1)**3*(z + 2)/3
Let w(n) = 5*n**4 - 35*n**3 + 45*n**2 - 15*n - 10. Let b(q) = q**3 - q + 2. Let h(o) = 5*b(o) + w(o). Factor h(y).
5*y*(y - 4)*(y - 1)**2
Let h(w) = 11*w - 74. Let k be h(7). Let n(m) be the th