rmine h so that x(h) = 0.
-314, -1, 0
Factor -162/7 - 159/7*g + 3/7*g**2.
3*(g - 54)*(g + 1)/7
Let x(f) be the third derivative of f**5/30 + 13*f**4/4 - 82*f**3/3 + 2*f**2 - 35. Factor x(u).
2*(u - 2)*(u + 41)
Let -142884/5 - 1512/5*t - 4/5*t**2 = 0. What is t?
-189
Suppose -3*a = -4*o - 1939, 4*o = 5*a - 3523 + 278. Suppose 654*b**2 - a*b**2 + 2*b - 2 + 2 = 0. What is b?
-2, 0
Let g(a) be the third derivative of -a**5/54 - 89*a**4/12 - 160*a**3/27 - 4795*a**2. Solve g(s) = 0 for s.
-160, -1/5
Let t(x) = 10*x**2 - 2. Let l(f) = 23*f**2 + 69*f + 38. Let b(y) = -l(y) - t(y). Factor b(q).
-3*(q + 1)*(11*q + 12)
Let f(h) be the third derivative of -2*h**7/105 - 8*h**6/15 - 83*h**5/15 - 76*h**4/3 - 56*h**3 - 14*h**2 + 8*h - 2. Solve f(o) = 0.
-7, -6, -2, -1
Let t be 9 + -5 + 3 + -9 + 5. Solve 99*m**2 + 77*m**3 + 43*m - m**4 + 46*m**2 - 65 + 44 - t*m**4 = 0 for m.
-1, 1/4, 21
Let l be ((-3)/(-9))/((-4)/(-432)*6). Let g be 24/(-18)*(-1 - (-3)/l). Factor 1/3*v**2 + v + g.
(v + 1)*(v + 2)/3
What is s in -1/11*s**4 + 20/11 + 48/11*s + 6/11*s**3 + 35/11*s**2 = 0?
-2, -1, 10
Let p = -59/17 - -3785/1071. Let x(a) be the second derivative of p*a**3 - 1/126*a**4 + 0 + 0*a**2 - 8*a. Find n, given that x(n) = 0.
0, 4
Let z(l) be the first derivative of -l**6/3 - 82*l**5/15 - 101*l**4/3 - 272*l**3/3 - 224*l**2/3 + 256*l/3 + 294. Solve z(s) = 0.
-4, -2, 1/3
Let d(j) be the third derivative of j**6/180 + j**5/10 - 7*j**4/12 - 67*j**3/6 - 6*j**2. Let i(o) be the first derivative of d(o). Factor i(f).
2*(f - 1)*(f + 7)
Suppose -o + b + 5 = 0, -337 + 328 = -3*o + b. Factor -10*n + 28/5*n**o + 24/5 - 2/5*n**3.
-2*(n - 12)*(n - 1)**2/5
Suppose 3*f + 33 = 3*y + 6*f, 3*y = 3*f + 39. Find w such that 36 - 286*w**3 - 9*w**2 + 0 + y*w + 283*w**3 = 0.
-3, -2, 2
Let q(i) be the third derivative of i**6/600 - 17*i**5/100 - 53*i**4/60 + 521*i**2. Factor q(m).
m*(m - 53)*(m + 2)/5
Let v(r) be the third derivative of 0*r + 0*r**4 + 0 + 1/105*r**7 + 17/60*r**6 + 0*r**5 + 0*r**3 + 100*r**2. Factor v(p).
2*p**3*(p + 17)
Let j(d) = -d**3 + 7*d**2 + 10*d + 17. Let w be j(8). Let r = w - 24. Factor -16*o - 23*o**3 - 14*o**3 - 64*o**2 + r*o**3.
-4*o*(o + 2)*(7*o + 2)
Let i(s) = 3*s**2 + 5*s + 15. Let h be i(-20). Let m = -1113 + h. Let 2/7*b**m - 4/7*b + 0 = 0. What is b?
0, 2
Let v be ((-19)/57)/((152/72)/19*-1). Factor -2*c**v + 2*c + 5/2*c**2 - 9/4 - 1/4*c**4.
-(c - 1)**2*(c + 1)*(c + 9)/4
Let i(q) be the first derivative of -30 + 17/13*q**2 - 2/39*q**3 + 76/13*q. Factor i(b).
-2*(b - 19)*(b + 2)/13
Let s(w) be the third derivative of 0*w**3 + 0*w - 69*w**2 - 19/40*w**4 - 1/100*w**5 + 0. Factor s(p).
-3*p*(p + 19)/5
Let x(c) be the third derivative of 4/3*c**3 - 1/10*c**6 + 1/2*c**4 + 3*c**2 - 3 - 1/15*c**5 - 2/105*c**7 + 0*c. Let x(b) = 0. Calculate b.
-2, -1, 1
Let g(w) be the first derivative of -25*w**4/4 - 545*w**3/3 - 415*w**2/2 + 105*w + 94. Factor g(o).
-5*(o + 1)*(o + 21)*(5*o - 1)
Let d be (357/(-24) - -3) + 14/(-112). Let o(m) = -m**2 + 149. Let q be o(d). Factor 2/11*w**3 + 0*w + 0*w**2 - 2/11*w**q + 0*w**4 + 0.
-2*w**3*(w - 1)*(w + 1)/11
Let q be (-6)/(-27) - 7236/(-2430). Factor -12/5*j**2 + 0*j - 7/5*j**4 + q*j**3 + 1/5*j**5 + 0.
j**2*(j - 3)*(j - 2)**2/5
Let f(p) be the first derivative of -10*p**4 + 6*p**2 - 26 - 8*p + 29*p**4 + 16*p**3 - 12*p**4. Let f(m) = 0. Calculate m.
-1, 2/7
Let a(f) be the third derivative of f**6/240 - 7*f**5/40 - 77*f**4/24 - 18*f**3 + 7210*f**2. Let a(c) = 0. Calculate c.
-4, -2, 27
Let b be (-50)/(-4)*(-36)/(-45). Let z be b + 0 - (-6 - -7). Factor -7*p + 3*p**3 - z*p**2 + 3*p - 9*p + p.
3*p*(p - 4)*(p + 1)
Let c = 1368676 - 4106026/3. Find n, given that 1/3*n**3 + n**2 - 1/3*n**4 - 5/3*n + c = 0.
-2, 1
Let c be 12/(-54) + (447/189 - ((-325)/(-91))/25). Factor 8/5 - 2/15*j**c + 2/15*j.
-2*(j - 4)*(j + 3)/15
Let p(u) be the first derivative of 5*u**7/42 + 5*u**6/6 + 3*u**5/4 - 15*u**4/4 + 54*u - 60. Let n(k) be the first derivative of p(k). Factor n(m).
5*m**2*(m - 1)*(m + 3)**2
Factor -2*s**2 + 166 - 11 - 140575*s + 279 + 140143*s.
-2*(s - 1)*(s + 217)
Let z(a) be the second derivative of 0*a**2 - 14*a + 0*a**3 + 0 + 3/20*a**5 - 1/6*a**4 - 1/42*a**7 + 0*a**6. What is n in z(n) = 0?
-2, 0, 1
Factor 285726258 - 285726258 + 2*u**2 - 22*u.
2*u*(u - 11)
Let s = -2083/600 - -87/25. Let x(o) be the third derivative of 18*o**2 - 1/240*o**6 + 0*o + 5/48*o**4 + s*o**5 + 0 + 1/4*o**3. Factor x(d).
-(d - 3)*(d + 1)**2/2
Let r be (-2)/(40/(-3544092)) + (-12)/(-20). Let v = r - 176386. Factor 384/5*l**2 - 32/5*l**3 + 1/5*l**4 + v - 2048/5*l.
(l - 8)**4/5
Let 266/11*r**2 + 2/11*r**4 - 324/11*r - 72/11*r**3 + 128/11 = 0. What is r?
1, 2, 32
Let i be (0 - 2)/((-147)/24 + 6). Suppose 4*k - 3*y = 0, -4*y + i = -0. Factor 1103 - s - k*s**3 + s**4 - 1103 + 3*s**2.
s*(s - 1)**3
Let i(w) be the first derivative of -w**8/13440 + w**6/360 - w**4/12 + 19*w**3 + 8. Let u(r) be the third derivative of i(r). Find g, given that u(g) = 0.
-2, 2
Let t = -3473 - -3473. Let q(s) be the first derivative of 0*s + 9 + t*s**2 - 2/15*s**3. Suppose q(a) = 0. Calculate a.
0
Let s(h) be the third derivative of -h**7/1155 - 7*h**6/165 + 26*h**5/55 + 112*h**4/3 - 2816*h**3/3 - 4*h**2 + 934*h. Factor s(d).
-2*(d - 8)**2*(d + 22)**2/11
Let v(q) = 41*q**3 + 204*q**2 - 9594*q - 19994. Let n(s) = -130*s**3 - 613*s**2 + 28781*s + 59981. Let m(t) = 6*n(t) + 19*v(t). Factor m(f).
-(f - 100)**2*(f + 2)
Let w(b) be the second derivative of 19*b**6/24 + 359*b**5/16 - 4085*b**4/48 + 2405*b**3/24 - 105*b**2/4 + 6*b - 96. Let w(i) = 0. Calculate i.
-21, 2/19, 1
Let j(l) be the second derivative of -l**5/5 - 13*l**4/12 + 37*l**3/6 + 5*l**2 + 84*l + 4. Factor j(v).
-(v - 2)*(v + 5)*(4*v + 1)
Let p be (-166)/14 - 0 - (26214 + -26227). Factor -p*g**2 - 2/7*g**3 + 0 - 8/7*g.
-2*g*(g + 2)**2/7
Let n(d) be the first derivative of -d**5/40 - 5*d**4/32 + 23*d**3/8 + 185*d**2/16 - 175*d + 1575. Solve n(j) = 0 for j.
-8, -7, 5
Let m = 117 - 117. Suppose m = 4*g - 2 - 14. Solve 3*r**3 - 2*r**3 + 4*r**3 - g*r**3 = 0 for r.
0
Let x(n) = -20*n**2 - 547*n - 1173. Let m be x(-25). Factor 14/13*j**m - 8/13*j - 24/13 - 2/13*j**3.
-2*(j - 6)*(j - 2)*(j + 1)/13
Let v(o) be the third derivative of 0 + 1/12*o**5 + 2/3*o**3 - 1/120*o**6 + 0*o - 1/3*o**4 + 51*o**2. Factor v(l).
-(l - 2)**2*(l - 1)
Let o(t) be the third derivative of 91*t**2 + 1/120*t**5 + 19/48*t**4 + 0*t - 2 + 0*t**3. Factor o(a).
a*(a + 19)/2
Let d(c) be the third derivative of 625/2*c**3 + 0 + 1/20*c**5 + 0*c - 16*c**2 - 25/4*c**4. Find x, given that d(x) = 0.
25
Factor -123836576 - 1736*h**4 - 1739*h**4 + 3764*h**3 + 3479*h**4 + 122653424*h + 1179384*h**2.
4*(h - 1)*(h + 314)**3
Let -257*m**3 + 40*m**4 + 48*m**4 + 184*m**2 + 188*m**5 - 14*m**2 - 189*m**5 = 0. What is m?
0, 1, 2, 85
Let g(b) be the first derivative of b**6/27 + 536*b**5/45 + 8842*b**4/9 - 73436*b**3/27 - 1965*b**2 + 8100*b - 13995. Suppose g(p) = 0. What is p?
-135, -1, 1, 2
Find u, given that -8/5 + 116/5*u**2 + 108/5*u = 0.
-1, 2/29
Factor 22/5*r**2 + 1/10*r**3 + 371/10*r - 208/5.
(r - 1)*(r + 13)*(r + 32)/10
Let v be 6/8 + 36/48 + 23. Let w = -39 - -43. Let -w*x + v*x**5 + 30*x**2 - 61*x**3 + 21/2*x**4 + 0 = 0. Calculate x.
-2, 0, 2/7, 1
Let u(n) = n**2 - 15*n + 2. Let g(h) be the first derivative of -4*h**3/3 + 45*h**2/2 - 7*h - 48. Let b(d) = -2*g(d) - 7*u(d). What is k in b(k) = 0?
-15, 0
Suppose 3*g - 11 = -2*v + 5, -20 = -5*g. Determine y so that 5*y**v + 17 - 20*y - 4 + 2 = 0.
1, 3
Let a(w) be the second derivative of 0*w**3 + 0*w**2 - 30*w + 0 + 0*w**4 + 3/5*w**5 - 2/21*w**7 - 4/15*w**6. Find i, given that a(i) = 0.
-3, 0, 1
Let x(m) be the second derivative of -44*m**6/25 - 7*m**5 - 13*m**4/3 + 16*m**3/3 - 8*m**2/5 + 429*m. Find h, given that x(h) = 0.
-2, -1, 1/6, 2/11
Let x(i) be the first derivative of -i**6/120 + i**4/2 - 2*i**3/3 - 13*i + 71. Let t(c) be the third derivative of x(c). Determine j so that t(j) = 0.
-2, 2
Let i(d) = 22*d**2 - 1632*d - 166425. Let x(q) = -24*q**2 + 1632*q + 166422. Let b(f) = -14*i(f) - 13*x(f). Let b(p) = 0. What is p?
-204
Let v(h) be the third derivative of 8 + 1/105*h**7 + 1/105*h**5 - 1/42*h**4 + 4*h**2 + 1/588*h**8 - 1/21*h**3 + 2/105*h**6 + 0*h. Factor v(p).
2*(p + 1)**4*(2*p - 1)/7
Let u(v) = -2*v**2 - 4*v + 3. Let a(j) = -j