**5. Let l(o) = 0. Calculate o.
0, 1, 2
Suppose -2*z = 2*z - 32. Suppose 0 = z*x - 6 - 10. Factor -10*u + 7*u**3 - 2 - 3*u**3 + 5*u**3 - 16*u**x - 17*u**3.
-2*(u + 1)*(2*u + 1)**2
Let j = -44 + 46. Suppose j*g + 12 = 6*g. Solve g*o**2 + 30*o + 128 + 203 - 256 = 0 for o.
-5
Suppose -12*x = 10*x - 44. Suppose 4*m**x - 24*m**2 - 14*m**4 + 4*m**4 - 54*m**3 = 0. What is m?
-5, -2/5, 0
Let c(y) = 3*y**3 - 18*y**2 + 15*y + 4. Let b be c(1). Let o(z) be the second derivative of 1/16*z**b + 2*z + 3/8*z**3 + 0 + 3/4*z**2. Factor o(f).
3*(f + 1)*(f + 2)/4
Let i be (5/30)/(125/10 + -7). Let f(t) be the third derivative of 1/220*t**6 + i*t**3 - 1/44*t**4 + 0 - 1/330*t**5 + 11*t**2 + 0*t. What is s in f(s) = 0?
-1, 1/3, 1
Let s(p) = 2*p + 2. Let k be s(-18). Let f = k - -34. Suppose 3/2*l**4 + 3*l + f - 3/2*l**2 + 9/2*l**5 - 15/2*l**3 = 0. Calculate l.
-1, 0, 2/3, 1
Let t(k) = -18*k**3 - 4*k**2 - 47*k - 91. Let q(a) = -14*a**3 - 2*a**2 - 44*a - 92. Let p(n) = -5*q(n) + 4*t(n). Suppose p(m) = 0. Calculate m.
-4, -3, 4
Let r(v) = -v**3 + 18*v**2 - 76*v - 29. Let q be r(8). Let x(u) be the first derivative of 1/2*u - 1 - 11/8*u**2 + 3/4*u**q. Suppose x(o) = 0. What is o?
2/9, 1
Suppose 35*d - 156 - 54 = 0. Let k(o) be the second derivative of 0*o**3 - 3/80*o**5 + d*o + 0*o**2 - 1/24*o**4 + 0 + 1/168*o**7 + 0*o**6. Factor k(p).
p**2*(p - 2)*(p + 1)**2/4
Let j be (60/(-132))/(10/(-110)). Suppose -3*v + 82 = -j*k + 62, v - 3*k = 12. Factor -4/19*y + 2/19*y**2 + 2/19*y**3 + v.
2*y*(y - 1)*(y + 2)/19
Let u be 2604/(-130)*36/4266. Let t = -6/395 - u. Solve -128/13 - t*g**2 - 32/13*g = 0 for g.
-8
Let s = -3 + 5. Let u(k) = k**2 - 14*k + 49. Let a be u(5). Solve 5*i**4 + 3*i**2 + a*i**2 + i**5 - s*i**2 + 8*i**3 - i**2 = 0 for i.
-2, -1, 0
Let n(c) be the third derivative of -31*c**6/60 - 103*c**5/5 - 255*c**4 + 200*c**3/3 + 14*c**2 + 29. Factor n(p).
-2*(p + 10)**2*(31*p - 2)
Factor -18935 - 18939 - 2*s - 2*s + 4*s**3 + 37874.
4*s*(s - 1)*(s + 1)
Suppose 0 = 3*h - 18, -4*h + 0*h + 24 = -4*k. Let a(d) be the first derivative of -45*d**3 + k*d + 45/4*d**4 + 39 + 135/2*d**2 - d**5. Factor a(r).
-5*r*(r - 3)**3
Suppose 5*j + 0*j = -3*j - 0*j. Let y(d) be the second derivative of -2*d - 3/110*d**5 + 0*d**2 + j - 1/33*d**3 - 2/33*d**4. Find a, given that y(a) = 0.
-1, -1/3, 0
Factor -c**4 + 180*c**2 - 7*c**3 + 390 + 796 - 848*c + 30.
-(c - 4)**3*(c + 19)
Let m(j) be the first derivative of 1/6*j**6 - j**5 - 8 + 10/3*j**3 + 5*j + 5/4*j**4 - 10*j**2. Let s(c) be the first derivative of m(c). What is t in s(t) = 0?
-1, 1, 2
Let j(u) be the second derivative of -1/270*u**5 - 9*u + 0 - 15/2*u**2 + 0*u**3 + 1/108*u**4. Let o(x) be the first derivative of j(x). Factor o(a).
-2*a*(a - 1)/9
Let c(h) be the first derivative of -h**6/8 - 18*h**5/5 - 177*h**4/8 + 78*h**3 - 507*h**2/8 - 11463. Solve c(d) = 0 for d.
-13, 0, 1
Let z be -10 - (-4)/16*-5298. Let t = z - -1335. Determine p, given that t*p**3 + 4*p + 5/2*p**2 + 2 = 0.
-2, -1
Let z = 37085 - 111251/3. Factor -1/3*j**5 + 2/3*j**2 - z*j**4 - 4/3*j**3 + 5/3*j + 2/3.
-(j - 1)*(j + 1)**3*(j + 2)/3
Let s = 111 - 329/3. Let c = 578845 - 578841. Find p, given that -s - 8/3*p + 0*p**2 + 8/3*p**3 + 4/3*p**c = 0.
-1, 1
Let u(b) be the second derivative of -b**5/10 - 131*b**4/3 - 259*b**3/3 + 522*b**2 - 6637*b. Factor u(y).
-2*(y - 1)*(y + 2)*(y + 261)
Let c(f) be the first derivative of -f**5 + 45*f**4/4 + 270*f**3 + 1270*f**2 + 2280*f + 8740. Find x such that c(x) = 0.
-6, -2, 19
Let a be -15*3/30*-6. Suppose 3*l = -2*s + 13, l + a = 4*l. Factor -90/7*b**s + 12*b - 24/7 + 27/7*b**3.
3*(b - 2)*(3*b - 2)**2/7
Suppose -6500 + 6500 = 1505*n. Factor 12/11*h - 6/11*h**4 + 18/11*h**2 + n + 0*h**3.
-6*h*(h - 2)*(h + 1)**2/11
Let l(y) be the third derivative of -y**6/420 + 52*y**5/105 + 107*y**4/28 - 6*y**2 - 188. Solve l(f) = 0 for f.
-3, 0, 107
Let h(k) be the third derivative of k**6/780 - 8*k**5/195 + 25*k**4/156 + 14*k**3/13 - 1058*k**2. Solve h(u) = 0.
-1, 3, 14
Let s(u) be the first derivative of -u**4/2 + 154*u**3/3 - 1815*u**2 + 23958*u - 5991. Suppose s(c) = 0. What is c?
11, 33
Let k(g) = -24*g - 4. Let f(n) = -11*n - 2. Let a(c) = -13*f(c) + 6*k(c). Let t(u) = u**2 + 8*u - 10. Let m(h) = -5*a(h) - t(h). Factor m(s).
-s*(s + 3)
Let f(o) = o**3. Let k(d) = -7*d**3 + 15*d**2 - 27*d - 122. Let w(g) = 6*f(g) + k(g). Let q(t) be the first derivative of w(t). Factor q(v).
-3*(v - 9)*(v - 1)
Suppose 27*u - 251 + 405 - 235 = 0. Let x(n) be the third derivative of -1/6*n**5 + 0 + 5/24*n**4 + 5/3*n**u - 1/24*n**6 + 0*n - 10*n**2. Factor x(d).
-5*(d - 1)*(d + 1)*(d + 2)
Let m(j) = 37*j**3 - 11*j**2 + 4*j + 10. Let k(r) = 7*r**3 - r**2 + 2. Let i(f) = -5*k(f) + m(f). Suppose i(l) = 0. What is l?
0, 1, 2
Let j(p) be the third derivative of 41*p**5/105 - 37*p**4/21 - 32*p**3/21 - p**2 - 1402*p. Suppose j(b) = 0. What is b?
-8/41, 2
Let q(j) be the first derivative of 75*j**5 + 60*j**4 - 47*j**3 - 3*j**2 - 5003. What is v in q(v) = 0?
-1, -1/25, 0, 2/5
Let d be 19558/3302 - 2/(-26). Let h(l) be the first derivative of d*l**3 + 0*l - 1/2*l**4 + 8 + 0*l**2. Factor h(n).
-2*n**2*(n - 9)
Factor -1/4*a**2 - 945/4 - 33/2*a.
-(a + 21)*(a + 45)/4
Determine k so that 38/3*k + 16/3*k**4 - 2/3*k**5 - 8 - 12*k**3 + 8/3*k**2 = 0.
-1, 1, 3, 4
Suppose 11*k = -3*k + 7*k. Let h(t) be the second derivative of -8*t + 1/2*t**5 - 5/6*t**3 + 0*t**6 + 0*t**2 - 5/42*t**7 + 0 + k*t**4. Factor h(m).
-5*m*(m - 1)**2*(m + 1)**2
Let s be 0 + 2 + (-13)/(39/342). Let g be (s/20)/(2/(-35)). Factor g*y**2 - 102*y**2 + 14 + 2 + 12*y.
-4*(y - 4)*(y + 1)
Let c(k) be the third derivative of -1/90*k**5 - 232*k**2 + 25/36*k**4 - 46/9*k**3 + 0 + 0*k. Factor c(u).
-2*(u - 23)*(u - 2)/3
Let c be (4/(-18))/(-10 + 1437/144). Let m(o) be the third derivative of 0 + 0*o + 4/3*o**4 + 10*o**2 + c*o**3 + 1/15*o**5. Factor m(g).
4*(g + 4)**2
Suppose -247*a - 2*a**3 - 5*a**2 + a**3 - 35*a**2 + 261661 - 286*a - 264027 = 0. What is a?
-14, -13
Suppose 3*n + b - 24 = 1, n + 4*b = -10. Let d be (4/n)/1 - (-594)/1815. Determine y so that 2*y**2 - 14/11*y**4 - 4/11*y**3 - 4/11*y**5 - d + 8/11*y = 0.
-2, -1, 1/2, 1
Let s(w) be the third derivative of 6*w**2 + 1/15*w**5 + 0*w**4 + 9*w - 2/3*w**3 + 0. Determine y so that s(y) = 0.
-1, 1
What is o in 0 + 174/5*o - 524/5*o**2 + 2/5*o**5 + 528/5*o**3 - 36*o**4 = 0?
0, 1, 87
Let 2/15*r**3 + 48/5 - 4/15*r**2 - 142/15*r = 0. Calculate r.
-8, 1, 9
Let y(t) be the first derivative of -5*t**6/6 + 224*t**5 - 61585*t**4/4 - 127690*t**3/3 - 4365. Factor y(o).
-5*o**2*(o - 113)**2*(o + 2)
Let w = -121 - -165. Suppose w*q = 55*q - 44. Find l such that -2/3*l**q + 0 + 0*l**3 + 0*l + 2/3*l**2 = 0.
-1, 0, 1
Find f such that -57 - 5/6*f**2 + 43/2*f = 0.
3, 114/5
Let i = -225601 - -225603. Solve 0 + 2/11*b**5 + 0*b + 8/11*b**i - 6/11*b**4 + 0*b**3 = 0 for b.
-1, 0, 2
Let b(k) be the first derivative of -2016*k**3 - 729*k**6 - 3132*k**4 + 213 - 64*k - 11988/5*k**5 - 624*k**2. Find f such that b(f) = 0.
-2/3, -2/27
Find w, given that 220446*w - 71931*w**2 - 1323/2*w**3 - 3/2*w**4 - 147852 = 0.
-222, 1, 2
Let g(v) be the third derivative of -v**6/780 - 5323*v**5/390 - 2362081*v**4/52 - 2360307*v**3/13 + 669*v**2. Factor g(b).
-2*(b + 1)*(b + 2661)**2/13
Let t(g) be the third derivative of -g**5/210 + 779*g**4/42 - 606841*g**3/21 + 2*g**2 + 250*g - 1. Factor t(a).
-2*(a - 779)**2/7
Let r(u) be the first derivative of u**3/6 + 19*u**2/4 + 24*u + 1027. Determine t so that r(t) = 0.
-16, -3
Suppose u - 10 = -5*c - 3, 0 = -4*c + 4. Let i be 182/(-35) + 5 - (u + -3). Factor 2*d - i + 2/5*d**3 - 8/5*d**2.
2*(d - 2)*(d - 1)**2/5
Let i(v) be the third derivative of v**5/330 + 65*v**4/132 + 676*v**3/33 - 2*v**2 - 13*v + 22. Determine h so that i(h) = 0.
-52, -13
Let m(j) = -j + 2. Let z(n) = 2*n**3 + 12*n**2 - 77*n + 66. Let i(l) = l**2 + l - 93. Let c be i(9). Let u(s) = c*m(s) + z(s). Factor u(x).
2*(x - 3)*(x - 1)*(x + 10)
Let z(v) be the first derivative of 0*v**4 + 2*v**2 + 0*v**5 + 0*v**3 - 6 + 0*v + 0*v**6 - 1/735*v**7. Let c(d) be the second derivative of z(d). Factor c(w).
-2*w**4/7
Let n(j) be the first derivative of j**4/6 - 5*j**3 + 11*j**2/3 + 5682. Factor n(m).
m*(m - 22)*(2*m - 1)/3
Let v be 2/(-3)*(-40 - 248). Find d, given that -d**2 + 99*d + 7203 + 3*d + 4*d**2 + v*