rivative of 0 - 5/12*g**4 - 3*g - 5/2*g**2 + 5/3*g**3. Solve h(f) = 0 for f.
1
Let h be -1 - -2 - (-2)/2. Let y be 1 - ((h - 1) + -3). Factor 4*b**3 + 4*b**2 + 2*b + b - 5*b - 4 - 2*b**y.
2*(b - 1)*(b + 1)*(b + 2)
Let d(l) be the first derivative of l**6/60 - 2*l**5/15 + l**4/12 + 2*l**3 + 13*l**2/2 + l + 7. Let r(p) be the second derivative of d(p). Factor r(x).
2*(x - 3)*(x - 2)*(x + 1)
Let v(y) = -y + 1. Let c(j) = -2*j**2 - 27*j - 61. Let a(r) = -2*c(r) - 10*v(r). Let a(f) = 0. What is f?
-14, -2
Let o = 2179 - 8711/4. Suppose -10*i + 20 + o*i**2 = 0. Calculate i.
4
Let i(u) be the second derivative of -u**4/78 - 8*u**3/13 + 25*u**2/13 - u - 30. Factor i(k).
-2*(k - 1)*(k + 25)/13
Let h(a) be the third derivative of -3*a**6/80 - 163*a**5/40 - 2241*a**4/16 - 729*a**3/4 - a**2 - 12*a. Factor h(i).
-3*(i + 27)**2*(3*i + 1)/2
Let o(k) be the first derivative of k**6/3 + 4*k**5/5 + k**4/2 + 55. Let o(x) = 0. Calculate x.
-1, 0
Let u = -62 + 62. Factor 0*b**3 + 36*b - 5*b**3 + 20 + 12*b**2 + b**3 + u*b**3.
-4*(b - 5)*(b + 1)**2
Let z(h) be the second derivative of h**4/12 + h**3/6 - h**2 - 60*h. Solve z(x) = 0 for x.
-2, 1
Let h be (-20 - (-15 - 5))/2. Let -3/2*k**2 + h + 3/2*k**4 + 0*k - 3*k**5 + 3*k**3 = 0. What is k?
-1, 0, 1/2, 1
Let o(b) be the second derivative of b**5/30 + 5*b**4/18 + 8*b**3/9 + 4*b**2/3 + 9*b + 6. Factor o(u).
2*(u + 1)*(u + 2)**2/3
Suppose 2/3*l**2 + 116/3 - 62/3*l = 0. Calculate l.
2, 29
Suppose -4*y + 25 = 3*x + 13, 0 = -4*y - 2*x + 12. Let f(k) be the third derivative of 5*k**2 - 1/48*k**4 - 1/120*k**5 + 0*k + 1/6*k**y + 0. Factor f(h).
-(h - 1)*(h + 2)/2
Let y(j) be the third derivative of -j**8/60480 - j**7/3780 - j**6/540 - 5*j**5/12 + 21*j**2. Let b(s) be the third derivative of y(s). Factor b(i).
-(i + 2)**2/3
Let g(y) be the third derivative of -y**6/240 + y**5/120 + y**4/3 + 5*y**3/3 - 9*y**2 - 4*y. Factor g(q).
-(q - 5)*(q + 2)**2/2
Let y(r) = 2*r**4 - 6*r**2 - 6. Let l(g) be the first derivative of g**5/5 - g**3/3 - g - 9. Let f(d) = 6*l(d) - y(d). Factor f(n).
4*n**4
Factor -1701 - 2*h**2 - 50*h**4 + 1701 + 2*h**2 + 15*h**3.
-5*h**3*(10*h - 3)
Solve -128/15 + 2/5*f**4 - 8/15*f + 22/3*f**3 + 224/15*f**2 = 0.
-16, -2, -1, 2/3
Let a(u) be the second derivative of -u**5/15 + u**4/2 - 4*u**3/3 + 5*u**2/2 + 20*u. Let i(y) be the first derivative of a(y). Suppose i(l) = 0. What is l?
1, 2
Let a be (-2)/8*6*(-16)/6. Let z(n) be the second derivative of 1/3*n**2 + 6*n + 0 + 1/63*n**7 - 1/15*n**5 + 1/9*n**3 + 1/45*n**6 - 1/9*n**a. Factor z(x).
2*(x - 1)**2*(x + 1)**3/3
Factor -14/3*g**3 - 2/3*g**5 + 0*g**2 + 0 + 0*g + 16/3*g**4.
-2*g**3*(g - 7)*(g - 1)/3
Let p(i) = -i**3 - 4*i**2 + 2*i - 6. Let z be p(-5). Let t(w) = -w**2. Let n(q) = q**2. Let c(f) = z*n(f) + 4*t(f). Solve c(k) = 0.
0
Let v(i) be the second derivative of 1/30*i**6 + 0 - 20*i + 0*i**2 + 1/4*i**5 + 0*i**3 + 1/4*i**4 - 1/42*i**7. Find j, given that v(j) = 0.
-1, 0, 3
Let f(b) be the second derivative of -b**7/168 - b**6/120 + 3*b**5/80 + 5*b**4/48 + b**3/12 + 2*b + 52. Let f(n) = 0. What is n?
-1, 0, 2
Let w(x) be the second derivative of -x**6/6 + 23*x**5/2 - 2405*x**4/12 - 920*x**3 - 1440*x**2 + 26*x. Factor w(q).
-5*(q - 24)**2*(q + 1)**2
Let n(c) = 36*c**2 - 309*c + 1836. Let f(u) = 7*u**2 - 62*u + 367. Let q(p) = -21*f(p) + 4*n(p). Factor q(i).
-3*(i - 11)**2
Let o(a) = -6*a**2 + 19*a - 23. Let v(d) = 9*d**2 - 28*d + 35. Let r(q) = 8*o(q) + 5*v(q). Factor r(b).
-3*(b - 3)*(b - 1)
Let h(r) = 2. Let a(j) = j - 10. Let i(l) = a(l) + 5*h(l). Let q(p) = p**2 + 21*p + 196. Let t(u) = 21*i(u) + 3*q(u). Determine z, given that t(z) = 0.
-14
Let q = 539 - 536. Let a(h) = h**3 + 5*h**2 - 2*h - 4. Let k be a(-5). Factor -w - w**q + k*w**2 + 0 - 11*w + 8.
-(w - 2)**3
Let b = 3681 - 3679. Solve 5/2*v**4 + 0 + 0*v**b + 5/4*v**5 + 0*v**3 + 0*v = 0 for v.
-2, 0
Let o(v) be the third derivative of v**8/168 + 2*v**7/35 - 66*v**2. Factor o(a).
2*a**4*(a + 6)
Let y be ((-35)/(-28))/(6/(-48)*-20). Let 0 - y*d**2 + 0*d = 0. Calculate d.
0
Let a(q) = -4*q**3 - 25*q**2 + 24*q - 5. Let m(i) = 12*i**3 + 74*i**2 - 72*i + 14. Let b(p) = 14*a(p) + 5*m(p). Factor b(t).
4*t*(t - 1)*(t + 6)
Determine n, given that 2536*n**4 - 2528*n**4 + 48 - 16 - 16*n - 4*n**5 - 40*n**2 + 20*n**3 = 0.
-2, -1, 1, 2
Let h(d) be the second derivative of d**4/42 - 61*d**3/21 - 142*d + 2. Suppose h(a) = 0. Calculate a.
0, 61
Let c(u) = 1. Let f(l) be the second derivative of -l**4/6 - 2*l**3 - 21*l**2/2 + 12*l. Let w(p) = -3*c(p) - f(p). Solve w(r) = 0 for r.
-3
Let q(b) be the third derivative of b**8/616 - b**6/55 + 3*b**2 + 21. Solve q(r) = 0.
-2, 0, 2
Let c(l) be the third derivative of l**6/120 - l**5/5 + 11*l**4/24 + l**3/2 + 4*l**2. Let j be c(11). Solve 5*a**4 + j*a**4 - 5*a**4 - 9*a**3 + 6*a**2 = 0.
0, 1, 2
Let r(q) be the third derivative of -q**7/10080 + q**6/720 - q**5/160 - q**4/8 - 5*q**2. Let b(d) be the second derivative of r(d). Find y such that b(y) = 0.
1, 3
Let z(v) be the first derivative of 13*v**4/4 + 80*v**3/3 + 77*v**2/2 + 10*v - 89. Suppose z(s) = 0. What is s?
-5, -1, -2/13
Suppose 4*g + 1769 - 1777 = -n, -4*g = -n - 8. Factor 0*o**2 + 0 + n*o + 1/6*o**3.
o**3/6
Let g(m) be the second derivative of -3/4*m**4 + 1/10*m**6 + 3/20*m**5 - 3*m**2 + 0 - m - 5/2*m**3. Factor g(k).
3*(k - 2)*(k + 1)**3
Let g(j) = -1098*j + 9885. Let k be g(9). Factor 0*s**2 + 2/15*s**5 - 4/15*s**k + 0 - 2/15*s**4 + 0*s.
2*s**3*(s - 2)*(s + 1)/15
Let t(x) = -4*x**3 + 120*x**2 - 277*x + 133. Let p(u) = -u**3 + 40*u**2 - 91*u + 44. Let k(b) = 7*p(b) - 2*t(b). Factor k(l).
(l - 1)**2*(l + 42)
Let g = -127 + 82. Let j be 5/(-2)*48/g. Determine x so that 8/3 - j*x + 2/3*x**2 = 0.
2
Let r be ((-30)/8)/(33/(-44)). Let a = 1/11 - -19/33. Factor -2/3*s**2 + 1/3*s + a*s**4 + 0 - 1/3*s**r + 0*s**3.
-s*(s - 1)**3*(s + 1)/3
Let g = -14 + 8. Let u be (0 + 4/(-8))*g. Let 7*a + a**2 + 2*a - u*a + 2*a**2 = 0. Calculate a.
-2, 0
Let c = -9078156516685/5252 - -1728514195. Let y = c + -1/1313. Solve 0*z + 33/4*z**3 - 3/2*z**2 - y*z**4 + 0 = 0 for z.
0, 2/9, 1
Suppose -29*q = -8*q - 21. Let n(p) = p**3 - 6*p**2 + 2. Let i be n(6). Find j such that -q + j**5 - 10*j**i - 5*j**4 + j + 4*j - 74*j**3 + 84*j**3 = 0.
1
Let t(d) be the second derivative of -d**9/52920 + d**7/8820 + 5*d**4/6 + 12*d. Let w(q) be the third derivative of t(q). Factor w(b).
-2*b**2*(b - 1)*(b + 1)/7
Let r be 164*2/(-4830) + (-14)/(-161). Let t(z) be the third derivative of r*z**5 - z**2 - 5/84*z**4 - 1/420*z**6 + 0*z + 2/21*z**3 + 0. Factor t(o).
-2*(o - 2)*(o - 1)**2/7
Suppose 0 = -3*n + 4*n - 4. Suppose 2*g = -0*g + n. Factor -s**2 - 5*s**g + 2*s**2.
-4*s**2
Factor 2/13*f**2 + 0 - 20/13*f.
2*f*(f - 10)/13
Let w = 4103/5 - 820. What is u in -2*u + 12/5*u**2 + 1/5*u**4 + w - 6/5*u**3 = 0?
1, 3
Let r(m) be the first derivative of -m**5/240 - m**4/16 - 3*m**3/8 - 3*m**2 - 7. Let x(v) be the second derivative of r(v). Factor x(o).
-(o + 3)**2/4
Let c(p) = -13*p**3 - 17*p**2 + 16*p + 32. Let g(z) = 6*z**3 + 8*z**2 - 8*z - 16. Suppose 0 = 8*n + 62 + 10. Let d(a) = n*g(a) - 4*c(a). What is u in d(u) = 0?
-2, 2
Let q(f) = f**4 + f**3 - 6*f**2 - 6*f - 6. Let y(c) = -13*c**2 + 2*c**3 + 4*c - 17*c - 14 + 1 + 2*c**4. Let z(t) = 13*q(t) - 6*y(t). Find l such that z(l) = 0.
-1, 0
Let p(b) = -b**3 - 2*b**2 + b + 2. Let i be p(-2). Suppose -1 = 3*h + 5*d + 15, i = -5*h + d + 20. Factor -4*g**2 + 3*g**5 + 3*g + 4*g**2 - 6*g**h.
3*g*(g - 1)**2*(g + 1)**2
Let b(n) be the third derivative of n**4/24 + n**3 + 3*n**2. Let u be b(-3). Factor 9*f**5 + 0 + 18*f + u + 4*f**4 + 3*f + 66*f**3 + 35*f**4 + 54*f**2.
3*(f + 1)**4*(3*f + 1)
Let v = -11328 + 45895/4. Let o = -145 + v. Factor -3/4*d + o*d**2 - 3/2.
3*(d - 2)*(d + 1)/4
Suppose -q + 5*p = 2*p + 49, 5*p + 109 = -2*q. Let r = q - -54. Factor 2/13*n**r + 0 - 2/13*n.
2*n*(n - 1)/13
Factor -9/4*n**2 + 7/2*n + 0 + 1/4*n**3.
n*(n - 7)*(n - 2)/4
Let 2*x**2 - 13*x**2 + 21*x**3 - 20*x**3 = 0. Calculate x.
0, 11
Let i be (2/3 + -1)*-18. Let b = 9 - 22. Let a(p) = -11*p**2 + 29*p + 45. Let u(d) = -5*d**2 + 14*d + 22. Let w(o) = b*u(o) + i*a(o). Factor w(x).
-(x + 4)**2
Suppose -2*d - 2*d + 12 = 0. Factor 2 + 4*h**2 + 4 + 19*h - d*h + 10.
4*(h + 2)**2
Let p = 481 + -476. Determine c so that 0*c**3 + 0 + 5/4*c**p + 15/4*c**4 -