 31. Find g such that -5*g - 2*g**2 - 4 - j - 2 - 3*g = 0.
-2
Let c(m) be the second derivative of -1 + 0*m**2 + 0*m**4 + 0*m**3 + 1/240*m**6 + 0*m**5 - m - 1/336*m**7. Let c(y) = 0. What is y?
0, 1
Let u(m) be the third derivative of -m**5/20 + m**4/3 - 4*m**3/3 + 12*m**2. Let o(b) = -9*b**2 + 25*b - 25. Let i(k) = -4*o(k) + 11*u(k). Solve i(v) = 0 for v.
2
Let t = -5546/5 - -38867/35. Solve -3/7*u**4 + 9/7*u**3 - 18/7 + t*u**2 - 3*u = 0.
-1, 2, 3
Let h(s) be the first derivative of s**7/3780 - s**6/540 + s**5/270 - 3*s**3 - 10. Let n(z) be the third derivative of h(z). Factor n(m).
2*m*(m - 2)*(m - 1)/9
Suppose -s - 6 = -4*d + 14, -8 = -s - 3*d. Let r be 2*(-11)/s*2. Solve 4*b**2 - r*b + 9 - 5*b + 7 = 0 for b.
2
Suppose -4*a + 11 = i, -4*a - 7 = -5*i - 0*a. Let w(n) be the first derivative of -6/7*n**i + 11/7*n**2 + 6 - 4/7*n. Solve w(l) = 0 for l.
2/9, 1
Suppose 4*o = 3 - 3. Let k(g) be the first derivative of 1/2*g**4 + 0*g - 1 + o*g**2 - 1/3*g**6 - 2/3*g**3 + 2/5*g**5. Factor k(h).
-2*h**2*(h - 1)**2*(h + 1)
Suppose 8*w + 3 - 8 - 27 = 0. Factor 11/5*t**3 - 9/5*t**w - 2/5*t**2 + 0*t + 0.
-t**2*(t - 1)*(9*t - 2)/5
Let o(v) be the third derivative of -v**7/1680 + v**6/240 - v**4/12 - 7*v**3/2 + 13*v**2. Let g(k) be the first derivative of o(k). Find p such that g(p) = 0.
-1, 2
Let m(z) be the third derivative of -z**9/3024 + z**8/672 - z**7/504 + z**4/6 + 5*z**2. Let s(h) be the second derivative of m(h). Let s(a) = 0. Calculate a.
0, 1
Let j be ((4/(-35))/(2/(-8)))/(1370/3425). Factor 4/7*s**2 - j - 4/7*s.
4*(s - 2)*(s + 1)/7
Let a(q) = -7*q**2 - 262*q + 264. Let z(i) = 33*i**2 + 1311*i - 1320. Let u(m) = -24*a(m) - 5*z(m). Factor u(n).
3*(n - 88)*(n - 1)
Let r(u) be the third derivative of -1/240*u**5 - 1/6*u**3 - 5/96*u**4 + 0 + 0*u + 13*u**2. Factor r(t).
-(t + 1)*(t + 4)/4
Suppose -10 = 14*x - 9*x + 5*m, x = 5*m + 22. Factor -12/7*c**x - 8/7*c + 4/7.
-4*(c + 1)*(3*c - 1)/7
Factor -16*m + 119*m**2 + 121*m**2 + 8 - 254*m**2 + 10*m**3.
2*(m - 2)*(m + 1)*(5*m - 2)
Let a(g) be the first derivative of 2*g**5/35 - 4*g**3/7 - 8*g**2/7 - 6*g/7 - 119. Factor a(l).
2*(l - 3)*(l + 1)**3/7
Let n(h) be the second derivative of -1/15*h**3 - 10*h - 1/60*h**4 + 0*h**2 + 0. Find f such that n(f) = 0.
-2, 0
Let v = 22 + -8. Suppose -4*c + 2*o = -314, 3*c - 5*c = 2*o - 154. Factor v*h**3 + h + c*h**3 + 22*h**3 - 52*h**2 + 7*h - 95*h**4 + 25*h**5.
h*(h - 2)*(h - 1)*(5*h - 2)**2
Let u(i) = -i**3 - i**2 - 1. Let d(x) be the second derivative of x**5/5 - 5*x**4/2 - 36*x**3 - 213*x**2 - 21*x. Let z(r) = -2*d(r) - 12*u(r). Factor z(w).
4*(w + 6)**3
Let f(o) = -160*o + 188. Let x be f(8). Let c = 3308/3 + x. Factor 0*m**2 + 2/3*m**4 + 8/3*m**3 - 32/3 - c*m.
2*(m - 2)*(m + 2)**3/3
Let j(p) be the second derivative of -p**6/25 + 9*p**4/10 + 4*p**3/5 - 36*p**2/5 + 27*p - 2. Find n such that j(n) = 0.
-2, 1, 3
Let r(d) be the second derivative of -d**7/840 - d**6/480 + d**5/240 + d**4/96 - 9*d**2/2 - 11*d. Let p(x) be the first derivative of r(x). Factor p(z).
-z*(z - 1)*(z + 1)**2/4
Let l(b) be the first derivative of b**6/320 - b**4/64 - 35*b**2/2 - 27. Let d(h) be the second derivative of l(h). Factor d(v).
3*v*(v - 1)*(v + 1)/8
Let v(k) = 3*k**3 - 22*k**2 + 41*k - 18. Let s(o) = 7*o**3 - 45*o**2 + 84*o - 36. Let q(b) = -6*s(b) + 15*v(b). Factor q(w).
3*(w - 18)*(w - 1)**2
Suppose -27*d + 15*d = 0. Let h(i) be the third derivative of 0 + 0*i + 0*i**3 + d*i**4 - 1/60*i**6 + 7*i**2 + 1/15*i**5 - 1/105*i**7. Factor h(x).
-2*x**2*(x - 1)*(x + 2)
Let i(x) be the third derivative of -x**7/2520 - x**6/216 - x**5/90 + 7*x**3/6 - 13*x**2. Let z(q) be the first derivative of i(q). Factor z(b).
-b*(b + 1)*(b + 4)/3
Let t be 4/(-34) + 716/17. Let v be -3*2/t*-2. Factor 2/7 - 4/7*q + v*q**2.
2*(q - 1)**2/7
Suppose -2*h + 3*r = r, -2*h = 4*r. Suppose 6*y - 3*y - 18 = h. Factor -11*j**2 + 4*j**2 + y*j**2.
-j**2
Let q(b) = -b**2 - 1 + 4*b - 2 + b. Let y be q(3). Factor 0*w + 0 - 1/4*w**y + 0*w**2.
-w**3/4
Factor -10*j**2 + 1107*j**3 - 555*j**3 - 557*j**3.
-5*j**2*(j + 2)
Let i(s) be the third derivative of s**6/120 - 19*s**5/20 + 35*s**4 - 392*s**3/3 - 61*s**2 - 2*s. Factor i(w).
(w - 28)**2*(w - 1)
Let g(w) = 114*w**2 + 336*w + 480. Let a(y) = -7*y**2 - 21*y - 30. Let t(d) = -33*a(d) - 2*g(d). Let t(k) = 0. What is k?
-5, -2
Let p(o) = -12*o + 5. Let s be p(-1). Find q, given that -s*q - 6*q**2 - 2*q**3 + 5*q**2 + q + 13*q**2 = 0.
0, 2, 4
Let c(m) be the second derivative of -6*m**2 + 11/4*m**4 + 0*m**3 + 1/5*m**6 - 27/20*m**5 - 10*m + 0. Suppose c(y) = 0. What is y?
-1/2, 1, 2
Let t(r) be the third derivative of -1/200*r**6 - 1/10*r**4 + 0 + 1/25*r**5 + 0*r**3 + 0*r + 4*r**2. Find i such that t(i) = 0.
0, 2
Let y be (-44)/6 + (-12)/(-9). Let m(b) = 2*b**2 + 12*b + 8. Let f be m(y). Factor -f*c**2 + 0*c**2 + 5*c**2 - 3 - 6*c + 0*c.
-3*(c + 1)**2
Let y(r) be the third derivative of r**5/12 + 55*r**4/24 + 29*r**2 - r. Factor y(i).
5*i*(i + 11)
Let a be 11 + -2 - 7 - (-12)/(-2). Let g be a + (-40)/(-12) - 40/(-15). Factor 2/7*r**g + 0*r + 9/7*r**4 + 0 - 11/7*r**3.
r**2*(r - 1)*(9*r - 2)/7
Let d(n) be the third derivative of n**8/504 - n**7/105 - n**6/30 + n**5/9 + 7*n**4/12 + n**3 - 168*n**2. What is q in d(q) = 0?
-1, 3
What is w in -12*w**2 - 20/3*w - 8/3*w**4 - 4/3 - 28/3*w**3 = 0?
-1, -1/2
Let r(m) be the second derivative of -m**5/12 + 5*m**4/12 - 5*m**3/6 + 5*m**2 - 6*m. Let a(j) be the first derivative of r(j). Let a(s) = 0. What is s?
1
What is l in 13824/11*l + 2/11*l**3 - 221184/11 - 288/11*l**2 = 0?
48
Let x = 15 - 12. Factor 3*y**2 - 4*y**3 - 6*y + x*y - y - 11*y**2.
-4*y*(y + 1)**2
Let v = 54 - 57. Let w(m) = -2*m**3 - 4*m**2 - 3*m - 3. Let n(f) = -5*f**3 - 9*f**2 - 5*f - 7. Let j(k) = v*n(k) + 7*w(k). Find s, given that j(s) = 0.
-2, 0, 3
Let x be 58/1392 + (-133)/(-264). Factor 2/11*p**2 - x - 4/11*p.
2*(p - 3)*(p + 1)/11
Let s = 6/2777 + 2753/11108. What is k in 3/4*k**2 + 1/4*k**4 + 0 - s*k - 3/4*k**3 = 0?
0, 1
Let h(o) be the first derivative of -28*o**5/5 - 2*o**4 + 28*o**3/3 + 4*o**2 + 727. Solve h(c) = 0 for c.
-1, -2/7, 0, 1
Let o = 83/50 - 347/450. Determine v so that 8/9*v - 2/9*v**2 - o = 0.
2
Let c(v) be the second derivative of -v**5/140 - 13*v**4/84 - 13*v**3/14 - 27*v**2/14 + 91*v. Find w such that c(w) = 0.
-9, -3, -1
Suppose -3*v - 14 - 6 = -n, -n + 2*v = -14. Suppose 0*r + 0 - 2/9*r**3 - 4/9*r**n + 2/9*r**4 = 0. What is r?
-1, 0, 2
Let j(k) be the second derivative of 5*k**7/42 - 59*k**6/6 + 389*k**5/2 + 6745*k**4/6 + 14105*k**3/6 + 4805*k**2/2 - 119*k. Factor j(v).
5*(v - 31)**2*(v + 1)**3
Let d(w) be the third derivative of 4*w**7/315 - w**6/30 + w**5/360 + w**4/24 + w**3/36 - 9*w**2 - 6. Find z such that d(z) = 0.
-1/4, 1
Suppose 5*j = 5*z - 4*z + 13, j + 4*z = -10. Let m(l) be the second derivative of 1/4*l**4 + 8*l + 3/2*l**j + 0 + l**3. Factor m(i).
3*(i + 1)**2
Solve 1/6*w**3 - 7/6*w**2 + w + 0 = 0 for w.
0, 1, 6
Let q = -28353/2 - -14177. Factor -1/4*z**2 - 1/4 - q*z.
-(z + 1)**2/4
Let i be 4 - (0 - (-5 + 2)). Let u = 5 - i. Suppose 2*y**3 + 7*y**u + 6*y**2 - 17*y**3 + 2*y**4 = 0. What is y?
0, 2/3, 1
Solve -12 - 2*h + 12*h**4 - 5 - 24*h**4 - 6*h**3 + 3*h**5 + 5*h + 24*h**2 + 5 = 0 for h.
-1, 1, 4
Let f(q) = -q**4 - q**2 + q + 1. Let o(m) = 6*m**4 - 27*m**3 + 9*m**2 - 9*m - 9. Let c(j) = -9*f(j) - o(j). Solve c(y) = 0.
-9, 0
Suppose 0 = 5*x - 4*k + 611, 2*x + 5*k = -3*x - 575. Let b = 123 + x. Find u such that 0*u - 4/7*u**5 - 8/7*u**3 + 12/7*u**b + 0 + 0*u**2 = 0.
0, 1, 2
Let o = -693 - -4852/7. Suppose -1/7*q**2 - 1/7*q**3 + o + 1/7*q = 0. Calculate q.
-1, 1
Let o(z) = -z**2 + z - 1. Let v(s) = 7*s**2 + 91*s + 407. Let h(r) = -2*o(r) - v(r). Let a(t) = t. Let g(x) = 3*a(x) + h(x). Factor g(c).
-5*(c + 9)**2
Let w = 101 + -94. Let b(s) be the third derivative of 1/36*s**4 + 0*s + 0 + 0*s**3 + w*s**2 + 1/60*s**5 + 1/360*s**6. Factor b(i).
i*(i + 1)*(i + 2)/3
Let m(r) be the first derivative of 3*r**4/4 + 2*r**3 - 21*r**2/2 + 12*r - 310. Let m(f) = 0. Calculate f.
-4, 1
Find l such that 3/4*l**3 + 3/2*l**2 - 3/4*l - 3/2 = 0.
-2, -1, 1
Let w(y) = -y**3 + 13*y**2 + 48*y + 40. Let i(m) = 15*m**2 + 48*m + 39. Let a(s) = -4*i(s) + 3*w(s). Factor a(p).
-3*(p + 2)**2*(p + 3)
Let z(i) be the second derivative of 0 - 1/3*i**4 - 43*i - 3/2*i**3 + 3