ivative of 0*r**3 + 1/105*r**6 - 1/70*r**5 + 1/147*r**x + 6*r + 0*r**2 + 0 - 1/42*r**4. Factor a(m).
2*m**2*(m - 1)*(m + 1)**2/7
Let o be -2 + (-3 + 4)*3. Factor 4 - 52*d**4 - o + 55*d**4 - 6*d**2.
3*(d - 1)**2*(d + 1)**2
Let p(n) be the third derivative of -5*n**8/336 - n**7/42 + n**6/24 + n**5/12 - 35*n**2 - n. Determine d so that p(d) = 0.
-1, 0, 1
Let c(f) be the second derivative of f**5/4 - 25*f**4/12 + 10*f**3/3 + 72*f. Suppose c(k) = 0. Calculate k.
0, 1, 4
Suppose 9*i - 8*i = -b + 6, -5*i + 10 = b. Let n(d) = -d + 8. Let t be n(8). Determine s so that -2*s**2 + 9*s**3 + t*s**5 - 14*s**b - 4*s**4 + s**4 = 0.
-1, 0, 2/7, 1/2
Suppose 0 = -2*p + 2*o, -4*p + 1 = -o - 11. Let c(q) be the first derivative of 0*q**2 + 2*q**3 - 8*q - 1/2*q**p - 2. Let c(r) = 0. What is r?
-1, 2
Let p(o) be the third derivative of -o**9/12096 - o**8/672 - o**7/112 - o**6/36 - 2*o**5/5 - 29*o**2. Let f(k) be the third derivative of p(k). Factor f(r).
-5*(r + 1)**2*(r + 4)
Solve 20/19 + 34/19*f + 6/19*f**2 = 0 for f.
-5, -2/3
Let x(z) be the second derivative of z**7/2772 + z**6/3960 - 4*z**4/3 + 2*z. Let r(h) be the third derivative of x(h). Factor r(w).
2*w*(5*w + 1)/11
Suppose -5*g = 2*c - 15, -27*c + 15 = -24*c + 5*g. What is a in 0*a + 1/5*a**5 - 4/5*a**4 - 2/5*a**2 + a**3 + c = 0?
0, 1, 2
Let v(q) = 2*q**2. Let d(p) = -11*p**2 - p - 2. Let x(s) = -2*d(s) - 6*v(s). Let r(w) = 11*w**2 + w + 4. Let n(z) = 6*r(z) - 7*x(z). Factor n(b).
-4*(b + 1)**2
Let 17/3*r**3 + 11/3*r**4 + 0 + 1/3*r**5 - 6*r - 11/3*r**2 = 0. Calculate r.
-9, -2, -1, 0, 1
Let p be 15 - (-2 - (-5 - 0)). Factor 4*v - 10*v**5 - 150 - 26*v**4 - 6*v**3 + 2*v**2 + 150 - p*v**3.
-2*v*(v + 1)**3*(5*v - 2)
Let f(h) be the first derivative of -25*h**4/12 + 40*h**3 - 455*h**2/2 + 490*h/3 + 55. Factor f(t).
-5*(t - 7)**2*(5*t - 2)/3
Let c(s) = -6*s**3 + 12*s**2 + 42*s + 27. Let y(d) = -d**4 + 4*d**3 - 13*d**2 - 42*d - 28. Let a(r) = -4*c(r) - 3*y(r). Factor a(j).
3*(j - 2)*(j + 1)**2*(j + 4)
Determine g, given that 16 + 16/3*g**2 - 52/3*g - 1/3*g**3 = 0.
2, 12
Let -88*d**2 + 2*d**4 + 0*d**3 - 40*d**3 - 2404*d + 0*d**4 + 2404*d = 0. Calculate d.
-2, 0, 22
Suppose -1 + 4 = n. Factor -14 + 3*f**4 - 3*f**n - 17 + 31.
3*f**3*(f - 1)
Let d(m) = m + 1. Let f be d(9). Let x be (-6)/f - (224/10)/(-4). Factor 0 + 2/5*n - 8/5*n**2 - 8/5*n**4 + 12/5*n**3 + 2/5*n**x.
2*n*(n - 1)**4/5
Suppose 2*v = -v + 18. Let i be (-5)/(-30) - (-11)/v. Factor 0*k**i + 4/7*k - 2/7 + 2/7*k**4 - 4/7*k**3.
2*(k - 1)**3*(k + 1)/7
Suppose -2*x = -2*r - 4, -2*x + 6*r + 5 = 5*r. Factor -8/7*j**2 + 0*j + 20/7*j**x + 0.
4*j**2*(5*j - 2)/7
Factor 0*g + 0 - 8*g**3 + 1/2*g**4 + 14*g**2.
g**2*(g - 14)*(g - 2)/2
Let w(o) = 14*o + 92. Let x be w(-6). Let t(y) be the second derivative of 5/6*y**4 - x*y + 1/10*y**5 + 8/3*y**3 + 0 + 4*y**2. Let t(f) = 0. What is f?
-2, -1
Let m(f) = f**2 - 7*f - 6. Let p be m(8). Suppose -2 - 19*a**3 + 21*a**3 - 2 + 10*a - 8*a**p = 0. What is a?
1, 2
Let t(z) be the second derivative of z**8/4200 + z**7/1050 + z**6/900 - z**3 - 17*z. Let d(u) be the second derivative of t(u). Let d(b) = 0. Calculate b.
-1, 0
Let y(m) = -2*m**3 + 24*m**2 + 14*m - 166. Let n be y(12). Suppose -4/7*c**n - 8*c - 28 = 0. Calculate c.
-7
Let p be 7642/((84/16)/((-6)/(-16))). Let t = 547 - p. Factor 0 + 8/7*l + t*l**2 + 2/7*l**3.
2*l*(l + 2)**2/7
Let j = 1988 + -1986. Suppose 6/5*t**j - 2/5*t**3 - 6/5*t + 2/5 = 0. What is t?
1
Solve 34/9*y**2 + 0 - 32/9*y**3 + 0*y - 2/9*y**4 = 0 for y.
-17, 0, 1
Let t(q) = -1. Let h be -5*-1*9/15. Suppose h*r + 5*o + 43 = 0, -2*o + 5*o - 3 = 3*r. Let d(n) = -2*n**2 - 8*n - 2. Let m(v) = r*t(v) - d(v). Factor m(z).
2*(z + 2)**2
Factor -2*b**3 + 6/7*b + 26/7*b**2 + 2/7*b**4 - 36/7.
2*(b - 3)**2*(b - 2)*(b + 1)/7
Let 12/7*r + 0 - 12/7*r**2 - 9/7*r**3 + 12/7*r**4 - 3/7*r**5 = 0. What is r?
-1, 0, 1, 2
Let k be -2 + 9 + (0 - -1). Let g be 484/55 - 1/(-5). Factor -21*j**2 + k + 17*j**3 - 2*j**3 - 8 - 3*j**4 + g*j.
-3*j*(j - 3)*(j - 1)**2
Let s(i) be the third derivative of i**10/378000 + i**9/75600 + i**8/50400 - 13*i**5/60 - 23*i**2. Let h(u) be the third derivative of s(u). Factor h(g).
2*g**2*(g + 1)**2/5
Let c(s) be the second derivative of s**6/60 + 59*s**5/40 + 29*s**4/12 + 226*s. Suppose c(g) = 0. Calculate g.
-58, -1, 0
Let x(d) be the second derivative of 3*d**5/40 + 26*d**4 + 10605*d**3/4 - 33075*d**2/2 + 19*d + 6. Let x(c) = 0. What is c?
-105, 2
Let j(g) = 3*g**3 + g**2 + 4*g + 6. Let n(w) = -w**3 - w - 2. Let z(p) = -2*j(p) - 7*n(p). Factor z(m).
(m - 2)*(m - 1)*(m + 1)
Find u such that 102*u**3 + 0*u - 3/5*u**4 - 4335*u**2 + 0 = 0.
0, 85
Let z(m) be the first derivative of 2*m**6/15 - 3*m**5/5 + 8*m**3/3 - 10*m - 6. Let r(y) be the first derivative of z(y). Determine p so that r(p) = 0.
-1, 0, 2
Let i(d) be the third derivative of -d**6/120 - d**5/60 + d**4/24 + d**3/6 - 95*d**2 + 2. Let i(u) = 0. Calculate u.
-1, 1
Let d = -189 - -194. Let h(o) be the first derivative of -1/6*o**3 + 0*o**2 + 1/20*o**d - 5 + 0*o**4 + 1/4*o. Suppose h(n) = 0. What is n?
-1, 1
Suppose 31*s = 13*s - 2754. Let i = s + 1074/7. Factor i*b**5 - 3/7 - 3/7*b**4 + 6/7*b**2 - 6/7*b**3 + 3/7*b.
3*(b - 1)**3*(b + 1)**2/7
Let t be (28/(-12))/((-189)/162). Let r(l) be the second derivative of 0 - t*l**2 + 2*l + 4/9*l**3 + 7/3*l**4. Let r(p) = 0. What is p?
-3/7, 1/3
Let s be 5/3*117/585. Determine r so that 2/3 - 1/3*r**2 + s*r = 0.
-1, 2
Let x = 15 + -39. Let r = x - -26. Factor -2*u**r + 3*u**2 + 0*u**2.
u**2
Factor 4 - 361*g**2 + 1 + 180*g**2 + 176*g**2.
-5*(g - 1)*(g + 1)
Let a(n) be the first derivative of n**5/80 + n**4/24 - n**3/24 - n**2/4 - 20*n + 2. Let z(b) be the first derivative of a(b). Solve z(s) = 0 for s.
-2, -1, 1
Factor 2*k**2 - 27/2*k - 7/2.
(k - 7)*(4*k + 1)/2
Let j = -281 + 284. Let k(p) be the third derivative of 2/9*p**j - 3*p**2 + 1/36*p**5 + 0*p + 0 - 1/6*p**4. Determine l, given that k(l) = 0.
2/5, 2
Let i(j) = -5*j**2 + 580*j - 16816. Let p(v) = 5*v**2 - 580*v + 16817. Let y(k) = 3*i(k) + 4*p(k). Factor y(h).
5*(h - 58)**2
Suppose 0 = 4*r - 5*l - 109, -2*r + l - 14 = -67. Let v be 17/r - (-44)/(-286). Solve -p + v + 1/2*p**2 = 0 for p.
1
Let u(t) be the second derivative of t**6/150 - t**5/100 - t**4/60 + t**3/30 + 44*t. Let u(z) = 0. What is z?
-1, 0, 1
Let k be 2/4*(-9 + 17). Factor -4/11*r + 4/11*r**3 - 2/11*r**k + 0*r**2 + 2/11.
-2*(r - 1)**3*(r + 1)/11
Let o = -14774 + 14777. Factor -15/2*i**2 - 5/2*i**o - 25/2 + 45/2*i.
-5*(i - 1)**2*(i + 5)/2
Let b = 92 + -64. Let m = b - 24. Find y, given that 7 - 6 - 5*y**2 + m + 20*y**3 - 20*y = 0.
-1, 1/4, 1
Let z(s) be the second derivative of 0*s**3 + 7/2*s**2 - 1/210*s**5 - 2*s + 0 + 1/42*s**4. Let w(h) be the first derivative of z(h). Factor w(a).
-2*a*(a - 2)/7
Let u(g) = -6*g - 4. Let d(z) = -z**2 + z. Let q(j) = 2*j**2 + 4*j + 5. Let y(o) = 3*d(o) + q(o). Suppose 3 = 4*l - 13. Let c(w) = l*y(w) + 6*u(w). Factor c(k).
-4*(k + 1)**2
Let x be ((-20)/(-80))/((-15)/(-18)). Factor x*s - 1/5*s**2 + 0 - 1/10*s**3.
-s*(s - 1)*(s + 3)/10
Let q(u) be the first derivative of 2*u**5/75 - u**4/30 - 2*u**3/15 + u**2/3 - 4*u/15 + 55. Factor q(o).
2*(o - 1)**3*(o + 2)/15
Let r be 844/15*4/(8/(-5)). Let x = -140 - r. Factor x*m**2 - 2/9*m + 0 + 2/9*m**4 - 2/3*m**3.
2*m*(m - 1)**3/9
Let q = 46 - 44. Let h be 973/280 + q/16. Let 2*k**5 + 0 + 24/5*k**4 + 0*k + h*k**3 + 4/5*k**2 = 0. What is k?
-1, -2/5, 0
Let q be 6/132*1*2842. Let x = q + -129. Factor -x*h**2 - 8/11*h - 8/11.
-2*(h + 2)**2/11
Determine s so that -23/3*s**3 - 7/3*s**4 + 69*s + 18 + 19*s**2 = 0.
-3, -2/7, 3
Let b(p) be the third derivative of -p**8/84 + p**6/15 - p**4/6 - 31*p**2. Let b(d) = 0. Calculate d.
-1, 0, 1
Let w(j) be the second derivative of 1/20*j**5 + 3*j**2 - 2*j**3 + 3/8*j**4 - 2*j + 0. Let p(g) be the first derivative of w(g). Factor p(f).
3*(f - 1)*(f + 4)
Let x = -53 - -637/12. Let c(o) be the first derivative of -1/30*o**5 + x*o**2 + 1/18*o**3 - 4 + 0*o - 1/24*o**4. Factor c(v).
-v*(v - 1)*(v + 1)**2/6
Let -4/3*m + 7 - 1/3*m**2 = 0. What is m?
-7, 3
Let b(x) be the first derivative of 0*x + 2/3*x**4 + 39 - 4/15*x**5 - 1/9*x**6 + 4/9*x**3 - x**2. Solve b(l) = 0.
-3, -1, 0, 1
Let l(k) be the first derivative of k**5/570 - 5*k**4/114 - 13*k**2 - 5. Let j(a) be the second derivative of l