 + 2/(-5). Determine g so that -33*g**d - 36*g**3 + 31 - 31 + 15*g**4 + 0*g**2 + 18*g = 0.
-1, 0, 2/5, 3
Suppose 15 = 3*b - 4*b - 4*h, 5*h + 40 = 3*b. Factor -5032*w**b - 19*w**3 + 18*w**2 + 8*w**4 + 5031*w**5 - 2*w**3.
-w**2*(w - 3)**2*(w - 2)
Let c = 178 + 1145. Let q = 1325 - c. Factor -2 - q*r - 1/2*r**2.
-(r + 2)**2/2
Let -4*o**2 - 2/5*o**3 + 72 + 78/5*o = 0. What is o?
-12, -3, 5
Let w(j) = 8*j**2 + 27*j. Suppose -2*q - 40 = 5*z, -q - 3*z - z - 26 = 0. Let n(b) = 26*b**2 + 82*b. Let k(r) = q*w(r) + 3*n(r). Factor k(g).
-2*g*(g + 12)
Let a(z) be the first derivative of z**4/14 + 76*z**3/7 - 33*z**2 + 232*z/7 + 3005. Factor a(x).
2*(x - 1)**2*(x + 116)/7
Determine c so that 31394/7*c**2 - 13046/7*c**3 - 18912/7*c - 10296/7 + 6/7*c**5 + 1670/7*c**4 = 0.
-286, -1/3, 2, 3
Suppose 3*v + 4 = -4*r, 4*v = 6*v + 4*r + 12. Let u(g) be the first derivative of -3/5*g**2 + v + 1/5*g**3 - 9/5*g. Solve u(x) = 0.
-1, 3
Suppose -5 = -u - 5*m, 4 = -2*u - 3*u + 4*m. Let z be u*8/(-32)*2. Factor 0*g**3 - 3/5*g**5 + 3/5*g - 6/5*g**2 + z + 6/5*g**4.
-3*g*(g - 1)**3*(g + 1)/5
Find j such that 5082*j - 799*j**5 - 7044*j**2 + 489*j**4 - 1176 + 1626*j**5 + 1707*j**3 - 812*j**5 + 927*j**2 = 0.
-28, -7, 2/5, 1
Let n be (6/(-4))/(81/(-864)). Suppose -29*o + 74 = n. Factor -75/8 - 3/8*v**o - 15/4*v.
-3*(v + 5)**2/8
Let j = -130 - -207. Factor 12*s - 193*s**2 - 28*s - j*s - 16 - 16*s**4 - 27*s + 120*s**3.
-(s - 4)**2*(4*s + 1)**2
Let m(z) be the first derivative of -30*z - 77/2*z**2 - 5/3*z**3 - 7. Factor m(b).
-(b + 15)*(5*b + 2)
Factor -3660 + 2010*v + 1240*v**2 + 150*v**3 - 2288*v**4 + 4585 + 2283*v**4.
-5*(v - 37)*(v + 1)**2*(v + 5)
Let q(z) be the second derivative of -125/6*z**3 - 25*z**4 - 5/42*z**7 + 0*z**2 - 23/2*z**5 - 2*z**6 + 38*z + 0. Let q(o) = 0. Calculate o.
-5, -1, 0
Factor 69/4*d + 99/4 - 31/4*d**2 - 1/4*d**3.
-(d - 3)*(d + 1)*(d + 33)/4
Let q(w) be the third derivative of 23*w**8/1512 - 44*w**7/945 - 211*w**6/540 + 22*w**5/15 + w**4/3 + 359*w**2. What is d in q(d) = 0?
-3, -2/23, 0, 2, 3
Determine z, given that 231474*z**4 - 783184/3*z**3 - 99458/3*z**5 - 1605544/3*z**2 - 128/3 - 9536*z = 0.
-1, -2/223, 4
Factor 1159/6*f**2 + 1/6*f**3 - 2321/6*f + 387/2.
(f - 1)**2*(f + 1161)/6
Let c(w) be the third derivative of 0 + 1/120*w**5 - 1/6*w**3 - 89*w**2 + 0*w + 1/48*w**4. Solve c(i) = 0 for i.
-2, 1
Let d(i) be the third derivative of -i**6/30 + i**5/15 + 29*i**3/2 + 20*i**2. Let m(s) be the first derivative of d(s). Factor m(k).
-4*k*(3*k - 2)
Let m = 39487706/169233 - 2/56411. Factor 250 + 2/3*p**4 + 80*p**2 - m*p - 12*p**3.
2*(p - 5)**3*(p - 3)/3
Suppose 8*y - 10*y + 4 = 0. Suppose -12 - 14*b**y - 30*b**3 + 6*b**4 + 28*b**3 - 38*b + b**2 - 21*b**2 = 0. Calculate b.
-1, -2/3, 3
Let s be 80*-3*(1 - 8/6). Factor -30 + 27*t - 2*t**2 + 152 + 5*t**2 - s.
3*(t + 2)*(t + 7)
Let q(h) be the first derivative of h**4/120 - 6*h**3/5 + 324*h**2/5 + 42*h + 160. Let m(i) be the first derivative of q(i). Solve m(k) = 0.
36
Suppose -225*i + 2 = -221*i + 2*q, -4*i - 4*q = 4. Let p(s) be the second derivative of s**3 - i*s + 0*s**2 + 1/8*s**4 + 0. Factor p(f).
3*f*(f + 4)/2
Suppose 0 = d - 14 - 22. Let o = -31 + d. Factor 2*q**4 + 19*q**3 - 44*q**3 + q**o + 26*q**3.
q**3*(q + 1)**2
Let l be 9/(-12) - (-19)/(304/60). Let o(y) be the third derivative of 0*y + 0*y**l + 23*y**2 - 1/180*y**4 + 0 - 1/450*y**5. Solve o(h) = 0.
-1, 0
Let s be -4 - (-27 + 13)*(-1 + 3). Factor 14*d**3 - 40*d + s*d**2 - 45*d**2 + 103 - d**4 - 44 + 41 - 4*d**3.
-(d - 5)**2*(d - 2)*(d + 2)
Let r(n) be the third derivative of n**8/144 - 736*n**7/315 + 5173*n**6/24 - 245*n**5/2 + 3875*n**2. Determine m, given that r(m) = 0.
0, 2/7, 105
Factor -6*i**2 - 3/8*i**3 - 39/4 - 123/8*i.
-3*(i + 1)*(i + 2)*(i + 13)/8
Let j(o) be the third derivative of o**5/60 - 8*o**4/3 + 40*o**3 + 2*o**2 + 273*o + 2. Suppose j(u) = 0. What is u?
4, 60
Suppose 32*w - 13*w**2 - 11/2*w**3 + 1/2*w**5 - 16 + 2*w**4 = 0. What is w?
-4, 1, 2
Let w(i) be the third derivative of -i**8/504 - i**7/35 - 7*i**6/90 + 862*i**2. Factor w(q).
-2*q**3*(q + 2)*(q + 7)/3
Let r be (-26)/(1820/(-15)) - (-78)/28. Suppose -3/2*u**r + 3/2 - 3/8*u**4 - 9/8*u**2 + 3/2*u = 0. Calculate u.
-2, -1, 1
Let n(s) = 3*s**3 + 8*s**2 + s. Let y(w) = 10*w**3 + 59*w**2 + 96*w + 48. Let p(i) = -6*n(i) + 3*y(i). Factor p(a).
3*(a + 2)*(a + 8)*(4*a + 3)
Let q be (2117/145 - (2 - -18))/(1*(-4)/10). Determine z so that -5/2*z + z**5 + q*z**3 - 17/2*z**2 + 3 - 13/2*z**4 = 0.
-1/2, 1, 2, 3
Let x(n) be the first derivative of n**4/10 + 22*n**3/5 + 32*n**2/5 + 6892. Let x(j) = 0. Calculate j.
-32, -1, 0
Let s(v) = -v**2 - 3*v - 4. Let w be -6 + 3 - 1 - 60/(-10). Let y(h) = h**2. Let b(x) = w*y(x) + s(x). Determine l, given that b(l) = 0.
-1, 4
Determine x so that -1197/5*x - 3/5*x**4 - 411/5*x**3 - 321*x**2 + 0 = 0.
-133, -3, -1, 0
Let r(n) be the first derivative of n**7/560 + 13*n**6/240 + 2*n**5/5 + 5*n**4/4 + 137*n**3/3 + 192. Let m(v) be the third derivative of r(v). Solve m(y) = 0.
-10, -2, -1
Suppose -190*d**4 + 2*d**2 - 290*d**2 + 15*d**5 + 252*d - 37*d + 150 - 510*d**3 + 48*d**2 = 0. What is d?
-1, 2/3, 15
Suppose -4*i + 11011 = 3*a - 6*a, 5*i - 13759 = -a. Factor 43*u - 10*u - 612 + 38*u - u**2 - i + 45*u.
-(u - 58)**2
Let j(o) = -2*o**3 - 4*o**2 - 5*o - 6. Let u be j(-2). Suppose -4*c + 2/3*c**4 - u*c**3 + 22/3*c**2 + 0 = 0. Calculate c.
0, 1, 2, 3
Let o(j) be the third derivative of -j**5/180 + 19*j**4/18 - 722*j**3/9 + 18*j**2 + 10*j. Factor o(n).
-(n - 38)**2/3
Let s(z) be the third derivative of 11/36*z**4 + 0*z + 0 + 0*z**3 - 13/180*z**5 + 1/360*z**6 - 162*z**2. Solve s(i) = 0 for i.
0, 2, 11
Let h = 74684 - 373413/5. Factor 27/5 - 18/5*v**2 + h*v**4 + 1/5*v**5 + 2*v**3 - 27/5*v.
(v - 1)**2*(v + 3)**3/5
Solve 47/7*g**2 + 1/7*g**4 - 13/7*g**3 + 24/7 - 59/7*g = 0.
1, 3, 8
Suppose 0 = 5*d + 33 - 43. Factor -4347 - 4*l + 4347 + 3*l**2 - 5*l**d.
-2*l*(l + 2)
Let h be (-339)/(-84) + (-7)/196. Factor -4/3*i + 0*i**2 + i**3 + 1/3*i**h + 0.
i*(i - 1)*(i + 2)**2/3
Let m(d) be the first derivative of 2/21*d**3 + 42 - 16/7*d**2 - 34/7*d. Factor m(q).
2*(q - 17)*(q + 1)/7
Let g(t) be the third derivative of t**6/1260 - 3*t**5/140 - 73*t**3/6 - 8*t**2. Let l(i) be the first derivative of g(i). Factor l(k).
2*k*(k - 9)/7
Let m(r) be the third derivative of r**5/180 - 37*r**4/72 - 20*r**3/3 + 3*r**2 + 542. Factor m(a).
(a - 40)*(a + 3)/3
Suppose -2*c = -2*i - 64, 2*i + 64 = -c + 15. Let s be 10/30 - (-3)/(i/(-24)). Factor 3/4*y + 3/8*y**2 - s.
3*(y - 2)*(y + 4)/8
Factor -2/21*x**2 - 136/21*x + 730/21.
-2*(x - 5)*(x + 73)/21
Let p(f) be the first derivative of -1/6*f**4 - 4/9*f**3 + 4/3*f**2 + 1/15*f**5 + 19 + 0*f. Suppose p(u) = 0. Calculate u.
-2, 0, 2
Find s such that -198*s + 4514 - 820*s + 338218 - 1293*s + 283*s + 3*s**2 = 0.
338
Let d be 13/((-39)/(-36)) + 1. Suppose 2*r + i = 4*i + d, -i = 5*r - 24. Factor 16*u**2 + 22*u**5 - 56*u**r - 100*u**4 - 6*u**2 - 35*u**3 - 21*u**5.
-5*u**2*(u + 1)**2*(11*u - 2)
Let z(c) be the third derivative of -c**6/540 - 67*c**5/135 + c**2 + 281*c. Solve z(r) = 0 for r.
-134, 0
Let w = -130/519 + 779/1038. Determine v, given that 0 - 2*v**3 - w*v**4 - v - 5/2*v**2 = 0.
-2, -1, 0
Let k(c) be the third derivative of c**8/756 - 4*c**7/35 - 28*c**6/45 - 34*c**5/27 - 19*c**4/18 + 207*c**2 + 3*c. Factor k(b).
4*b*(b - 57)*(b + 1)**3/9
Let h(u) = -u**2 - u - 8. Let f(y) = -10*y**2 - 533*y - 72. Let w(v) = -4*f(v) + 36*h(v). Solve w(g) = 0 for g.
-524, 0
Let z be 1/((28/(-60))/(-7)). Let -79*s**2 - 127*s - z*s**3 + 97*s + 24*s**2 = 0. Calculate s.
-3, -2/3, 0
Factor -1/2*m**3 + 62*m**2 + 21175 - 4565/2*m.
-(m - 55)**2*(m - 14)/2
Let t be 4 + 1/(-1) + 130/(-78). Factor 0 + 0*v**2 - t*v**5 + 0*v**3 + 0*v - 4*v**4.
-4*v**4*(v + 3)/3
Let x be (-5*63 - 0) + 9. Let l = x + 1534/5. Find f, given that l*f**2 - 4 - 16/5*f = 0.
-1, 5
Solve -1185*f**3 - 94431*f + 89416*f + 1430 + 6470*f**2 - 2435*f**3 - 5*f**5 + 740*f**4 = 0 for f.
1, 2, 143
Let g(q) be the third derivative of -q**5/75 - 37*q**4/30 + 172*q**3/5 - 2688*q**2. What is b in g(b) = 0?
-43, 6
Find v, given that -3*v**5 - 131/3*v**3 + 38/3*v**2 + 0*v - 178/3*v**4 + 0 = 0.
-19, -1, 0, 2/9
Let v be -3 + 50 - 865375/18515. Factor -v*r**3 + 4/23*r**2 + 0 + 0*r + 2/23*r**4.
2*r**2*(r - 2)*(r - 1