 Calculate f.
-1, -1/2, 0, 1
Let a(k) be the first derivative of k**6/12 + k**5/10 - 3*k**4/8 - k**3/6 + k**2/2 - 31. Factor a(x).
x*(x - 1)**2*(x + 1)*(x + 2)/2
Let g be 1*(-20)/(-6) + ((-196)/21)/7. Determine q so that 0 + 0*q**g - 2/23*q**4 + 0*q - 2/23*q**3 = 0.
-1, 0
Let j(f) = 4*f**2 + 7*f - 1. Let z be 75/9 + 1/(-3). Let d = 13 - z. Let a(o) = 5*o**2 + 8*o - 1. Let b(l) = d*a(l) - 6*j(l). Suppose b(r) = 0. Calculate r.
1
Let w(n) be the first derivative of -n**5/20 - 5*n**4/4 - 9*n**3/2 - 31*n**2/2 + 17. Let h(o) be the second derivative of w(o). Factor h(f).
-3*(f + 1)*(f + 9)
Suppose 0 = 11*l - 10 - 12. Factor 6*b**3 + l*b**2 - b - 17*b**2 - b**3 - 29*b + 40.
5*(b - 4)*(b - 1)*(b + 2)
Let w be (-4)/2*27/(-72). Let 3/8*n**2 + w + 9/8*n = 0. Calculate n.
-2, -1
Let u be 44/5610*(-1 + (-3)/6). Let m = 67/85 - u. Factor m*r**2 - 8/5 - 4/5*r.
4*(r - 2)*(r + 1)/5
Suppose -45 = -3*o - 3*u - 48, u = -2*o + 1. Factor 0*z + 0 + 1/6*z**3 + 0*z**o.
z**3/6
Suppose 0 = -2*c - 5*i - 21, 12 = c - 0*c - 2*i. Suppose -c*r + 3*b = -2*b, 4*r - b = 0. Factor r*n + 2/9*n**3 + 2/9*n**2 + 0.
2*n**2*(n + 1)/9
Suppose p + 3*u = 12, -4*p + 5*u + 9 = -22. Let v(r) be the first derivative of 9*r + 60*r**4 + 88*r**3 + p + 87/2*r**2. Determine c so that v(c) = 0.
-3/5, -1/4
Let m(f) be the third derivative of f**6/300 - 73*f**5/25 + 5329*f**4/5 - 3112136*f**3/15 + 6*f**2 + 11. Factor m(o).
2*(o - 146)**3/5
Let h(p) = p**3 + 285*p**2 - 5415*p + 34295. Let t(g) = g**3 + 570*g**2 - 10830*g + 68590. Let o(k) = 11*h(k) - 6*t(k). Factor o(r).
5*(r - 19)**3
Let l be (-164)/(-6) + ((-6)/(-9) - 1). Find j such that -2*j**3 - 2 + j - l*j**2 + 30*j**2 + j**3 - j**4 + 0*j = 0.
-2, -1, 1
Suppose 2*g = 4*a - 10, -24*a - 4*g = -29*a + 14. Let -2/9*x**a - 10/9*x - 8/9 = 0. What is x?
-4, -1
Let l(b) be the second derivative of b**8/26880 - b**7/3360 + b**6/1440 - 7*b**4/12 + 13*b. Let v(x) be the third derivative of l(x). Find s such that v(s) = 0.
0, 1, 2
Factor -2/5*p**4 + 2*p**3 - 4/5*p**2 + 0 - 16/5*p.
-2*p*(p - 4)*(p - 2)*(p + 1)/5
Let v(k) be the second derivative of 5*k**7/231 - 14*k**6/55 + 63*k**5/55 - 82*k**4/33 + 31*k**3/11 - 18*k**2/11 - 456*k. Let v(f) = 0. Calculate f.
2/5, 1, 3
Let o(d) be the third derivative of 0 + 1/630*d**5 - 1/126*d**4 - 16*d**2 - 1/21*d**3 + 0*d. Determine j so that o(j) = 0.
-1, 3
Let r(s) be the second derivative of s**6/30 + s**5/40 + 2*s + 3. Factor r(i).
i**3*(2*i + 1)/2
Let v(m) = -2*m**4 + 4*m**3 + 3*m**2 + 6*m + 9. Let n(r) = 3*r**4 - 5*r**3 - 4*r**2 - 9*r - 13. Let j(s) = 5*n(s) + 7*v(s). Determine b so that j(b) = 0.
-2, -1, 1
Let z = -25157 - -5786059/230. Let i = -1/46 - z. Solve 0 - 1/5*f**4 - i*f**3 + 1/5*f + 1/5*f**2 = 0 for f.
-1, 0, 1
Let i(w) be the third derivative of 3*w**2 + 0*w**4 + 0*w**5 + 0*w**3 + 0*w + 0 + 0*w**6 - 1/735*w**7. Factor i(h).
-2*h**4/7
Let m(q) = -2*q**3 - 82*q**2 + 562*q - 92. Let i be m(-47). What is h in -2/5*h - 8/5 + 2/5*h**3 + 8/5*h**i = 0?
-4, -1, 1
Let a(v) = v**5 - v - 2. Let r(l) = -23*l**5 + 228*l**4 - 776*l**3 + 648*l**2 + 223*l - 294. Let h(i) = -3*a(i) - r(i). Solve h(y) = 0.
-3/5, 1, 5
Let u = 672 - 672. Determine c so that u + 4/9*c - 2/9*c**2 = 0.
0, 2
Let 174/5*a**2 + 8/5*a**4 - 14*a**3 - 16*a - 32/5 = 0. Calculate a.
-1/4, 1, 4
Let g(k) be the third derivative of k**7/105 + 17*k**6/30 + 253*k**5/30 - 51*k**4 + 108*k**3 + k**2 - k. Let g(p) = 0. Calculate p.
-18, 1
Let g = 10 - 17. Let x = 9 + g. Let -18*d**3 + 3*d**3 + 12*d**x - 2*d**4 + 4*d**4 - 3*d + 4*d**4 = 0. What is d?
0, 1/2, 1
Suppose 80*a**3 + 916*a**4 - 16*a**5 - 1825*a**4 - 20*a**2 - 64*a + 16 + 913*a**4 = 0. What is a?
-2, -1, 1/4, 1, 2
Let k(y) be the second derivative of 1/2*y**5 + 0 + 5/2*y**2 + 1/42*y**7 + 2*y + 1/6*y**4 - 7/30*y**6 - 11/6*y**3. Solve k(n) = 0.
-1, 1, 5
Let g(l) be the first derivative of l**4/18 - 4*l**2/3 - 19*l - 17. Let t(z) be the first derivative of g(z). Solve t(h) = 0 for h.
-2, 2
Suppose 25*t**2 + 22*t**2 + 192*t - 2*t**2 + 144 + 4*t**3 + 7*t**2 = 0. What is t?
-6, -1
Suppose 0 = 14*i - 11666 + 11610. Factor -2/11*a**2 - 4/11*a**3 + 0 + 0*a - 2/11*a**i.
-2*a**2*(a + 1)**2/11
Let f = 36972 + -36969. Factor 1/4*w**f + 1/2*w + 0 - 3/4*w**2.
w*(w - 2)*(w - 1)/4
Factor -2/9*q**2 - 10/3 - 32/9*q.
-2*(q + 1)*(q + 15)/9
Find b, given that 40/3*b + 1/3*b**2 + 13 = 0.
-39, -1
Let w(d) be the second derivative of 0 + 0*d**2 + 1/32*d**4 - 3/160*d**5 + 1/240*d**6 + 4*d - d**3. Let p(u) be the second derivative of w(u). Factor p(f).
3*(f - 1)*(2*f - 1)/4
Let g(s) = -3*s**2 - 78*s - 9. Let v be g(-25). Let h be (-414)/v - (-13 - -6). Find b, given that -24/11*b + h - 8/11*b**3 - 30/11*b**2 = 0.
-2, 1/4
Let 878/3*b**4 + 2486/3*b**2 + 164/3 - 2438/3*b**3 - 20/3*b**5 - 1070/3*b = 0. Calculate b.
2/5, 1/2, 1, 41
Let w(n) be the third derivative of -n**8/1008 - 13*n**7/630 - 67*n**6/360 - 19*n**5/20 - 3*n**4 - 6*n**3 + 421*n**2. Let w(p) = 0. Calculate p.
-3, -2
Let i(y) be the second derivative of y**4/78 - 35*y**3/39 - 36*y**2/13 - 21*y. Factor i(h).
2*(h - 36)*(h + 1)/13
Let f(j) be the second derivative of 0*j**2 + 0 - 11*j + 1/12*j**3 - 7/72*j**4 + 1/60*j**6 - 7/120*j**5. Solve f(x) = 0.
-1, 0, 1/3, 3
Suppose -4/7*n**3 + 6/7*n**2 + 0 - 2/7*n = 0. Calculate n.
0, 1/2, 1
Let a(t) be the third derivative of -t**7/385 + t**6/165 - t**5/330 - 7*t**2 + 3. Let a(m) = 0. Calculate m.
0, 1/3, 1
Let g be (-33)/2*(-196)/6468. Let -1/2 + 1/2*i - 1/2*i**3 + g*i**2 = 0. What is i?
-1, 1
Let k(t) be the first derivative of 14 + 3/8*t**4 + 0*t**3 - 9/4*t**2 - 3*t. Let k(i) = 0. What is i?
-1, 2
Let g be (-9)/(-3 - ((-45)/6 + 3)). Let u be (-2 - (-102)/27) + 4/g. Let -2/9*a**5 + 4/9 + 4/9*a**2 - 8/9*a**4 - 8/9*a**3 + u*a = 0. What is a?
-2, -1, 1
Factor 1/5*i**3 + 8/5*i**2 - 23/5*i - 6.
(i - 3)*(i + 1)*(i + 10)/5
Suppose -2*j - 6*a = -4*a + 4, 5*j = -2*a + 2. Factor 23*h**3 + 9*h**3 + 4*h**5 - 33*h**2 - 20*h**4 + 17*h**j.
4*h**2*(h - 2)**2*(h - 1)
Let u(p) be the third derivative of p**7/630 + p**6/120 + p**5/60 + p**4/72 - 8*p**2. Factor u(h).
h*(h + 1)**3/3
Let j be 195/78*2/410. Let d = 20/41 + j. Let 0*t - d + 1/2*t**2 = 0. What is t?
-1, 1
Let l(f) be the third derivative of f**5/30 - f**4 + 11*f**3/3 - 357*f**2. Find j such that l(j) = 0.
1, 11
Let x = -12 + 32. Let o be (3 - 96/x)/(-1). Solve 6/5*c + o + 1/5*c**2 = 0.
-3
Let z(u) = -17*u + 92. Let n(b) = 2*b - 1. Let p(f) = 6*n(f) + z(f). Let v be p(16). Suppose 6*o**3 + 3/5*o**5 - v*o**2 - 3*o**4 + 3*o - 3/5 = 0. Calculate o.
1
Let c(j) = j**4 - j**3 - j**2 - 2*j. Let a(i) = -3*i**4 + 17*i**3 + 14*i**2 + 8*i. Let w(x) = a(x) + 6*c(x). Factor w(s).
s*(s + 2)**2*(3*s - 1)
Let x(w) be the first derivative of 16*w + 14 - 4*w**3 + 4*w**4 - 8*w**2 - 4/5*w**5. Factor x(s).
-4*(s - 2)**2*(s - 1)*(s + 1)
Let x(v) be the first derivative of 2*v**5/55 + 41*v**4/11 + 1174*v**3/11 + 3280*v**2/11 + 3200*v/11 + 319. Solve x(f) = 0 for f.
-40, -1
Let h(q) be the first derivative of q**8/3920 + q**7/1960 - q**6/420 - 5*q**3/3 + 3. Let y(z) be the third derivative of h(z). Determine i so that y(i) = 0.
-2, 0, 1
Suppose 0 = -391*y + 317*y + 25 + 123. Let s be -2 + (26/8 - 1). Determine j so that -s*j**y + 1 - 3/4*j = 0.
-4, 1
Let r(a) be the third derivative of a**5/20 - a**4/4 + a**3/2 - 60*a**2. Suppose r(h) = 0. Calculate h.
1
Let n(q) be the first derivative of q**4/4 + 97*q**3 + 28227*q**2/2 + 912673*q + 415. Find y, given that n(y) = 0.
-97
Let n(c) be the first derivative of -c**3/18 + 7*c**2/12 - 2*c - 82. Factor n(l).
-(l - 4)*(l - 3)/6
Let d(n) = 8*n + 20. Let l be d(-10). Let x be l/63*(-15)/25*2. Factor 8/7*m - 4/7 + 4/7*m**2 - x*m**3.
-4*(m - 1)*(m + 1)*(2*m - 1)/7
Let d(k) be the second derivative of -3/40*k**5 + 0 + 17/36*k**3 + 7/24*k**4 - 41*k + 1/4*k**2. Factor d(o).
-(o - 3)*(3*o + 1)**2/6
Let x = 2593/18 - 144. Let v(z) be the third derivative of 0*z + 0 + z**2 + 1/16*z**4 + 1/30*z**5 + x*z**3 + 1/144*z**6. Factor v(m).
(m + 1)**2*(5*m + 2)/6
Let -23/4*c**2 + 8*c**5 - 3/2*c**3 + c + 32*c**4 + 0 = 0. Calculate c.
-4, -1/2, 0, 1/4
Suppose 40*k**2 + 83*k + 38*k + 417*k + 1682 - 8*k**2 - 74*k = 0. Calculate k.
-29/4
Let f = 6537/4571 + -1/653. Find h, given that 4/7 - f*h - 6/7*h**4 + 10/7*h**3 + 2/7*h**2 = 0.
-1, 2/3, 1
Suppose 104/19*j**4 + 6/19*j**5 - 176/19 - 57