4230. Suppose 0 = 46*b - 24 - 160. Let c(u) = b*n(u) - 5*k(u). Factor c(h).
-(h + 65)**2
Let k(i) be the third derivative of i**7/70 - 11*i**6/75 + 29*i**5/100 - 7*i**4/60 - 289*i**2 - i + 1. Determine v, given that k(v) = 0.
0, 1/5, 1, 14/3
Let x(q) be the second derivative of -9*q**4 - 67*q - 1/5*q**5 + 0 - 34*q**3 - 50*q**2. Let x(f) = 0. Calculate f.
-25, -1
Suppose -3*q - 25 = 2*q, 2*f - 5*q - 27 = 0. Let j be (28 + -23)*((-1)/f + 2). Factor 21*x**2 + 6*x - 20*x**2 + 3*x - j*x.
x*(x + 4)
Let y be 7 - 61/9 - (-94)/(-450). Let z(g) be the second derivative of 0 + 0*g**3 + y*g**5 + 1/75*g**6 + 1/315*g**7 + g + 0*g**4 + 0*g**2. Factor z(d).
2*d**3*(d + 1)*(d + 2)/15
Let h(c) be the third derivative of -c**7/945 + 7*c**6/135 - 83*c**5/135 - 35*c**4/9 - 25*c**3/3 + 250*c**2. Factor h(l).
-2*(l - 15)**2*(l + 1)**2/9
Suppose 160 = -6*o + 22*o. Factor -1473*m - 324 - 184*m**2 + o*m**3 - 1460*m + 3815*m.
2*(m - 9)**2*(5*m - 2)
Let x(a) be the second derivative of -1/60*a**4 + 1/15*a**3 - 43*a - 1 + 0*a**2. Factor x(n).
-n*(n - 2)/5
Let l(i) be the third derivative of 0*i + 5/12*i**4 - 1/30*i**5 + 12 - i**2 - 1/60*i**6 - i**3. Determine c so that l(c) = 0.
-3, 1
Let g = 60535/231 - 2880/11. Let s(i) be the first derivative of 17 + 1/28*i**4 - 4/7*i - g*i**3 + 4/7*i**2. Factor s(z).
(z - 2)**2*(z - 1)/7
Let o(l) be the second derivative of -7/4*l**3 + 7*l - 5 + 9/4*l**2 - 3/40*l**5 + 5/8*l**4. Find z such that o(z) = 0.
1, 3
Let c(p) be the third derivative of -p**7/1260 + p**6/40 + 107*p**5/360 + 5*p**4/4 + 23*p**3/9 + 387*p**2 - p + 3. Suppose c(y) = 0. What is y?
-2, -1, 23
Let g(a) = -a**3 - 8*a**2 + 20*a + 2. Let r = 714 + -724. Let t be g(r). Factor -56/9*j**3 - 8/9*j**t + 0 + 0*j - 98/9*j**4.
-2*j**2*(7*j + 2)**2/9
Suppose 1876 = 1255*a + 529 - 1163. Solve -1/7*d**a + 40/7 + 18/7*d = 0.
-2, 20
Suppose 601 = -45*w - 6*w + 1876. Let b(t) be the first derivative of 10*t + 1/3*t**3 - 7/2*t**2 + w. Factor b(s).
(s - 5)*(s - 2)
Let r be (61 + 7380/(-120))*0. Determine j so that 11/2*j + r - 1/2*j**2 = 0.
0, 11
Let w = -86849/40 + 17421/8. Factor -2/5*y**4 + 0 + 0*y - w*y**3 - 8*y**2 + 2/5*y**5.
2*y**2*(y - 5)*(y + 2)**2/5
Suppose 4*p = 5*o + 24, 3*o + 190 = 3*p + 172. Let q(f) be the second derivative of -3/2*f**2 - 1/30*f**p - 3/10*f**5 - 9*f + 0 - 5/3*f**3 - f**4. Factor q(n).
-(n + 1)**3*(n + 3)
Let l(y) be the first derivative of -8/3*y**3 + y**2 + 4*y + 10 - 3/2*y**4. Factor l(m).
-2*(m + 1)**2*(3*m - 2)
Let c(q) be the second derivative of q**6/45 - 29*q**5/10 - 59*q**4/6 - 89*q**3/9 - 297*q - 4. Factor c(a).
2*a*(a - 89)*(a + 1)**2/3
Suppose 2197 = 2084*c - 1971. Factor 2/17*q**3 + 0 + 8/17*q**c + 6/17*q.
2*q*(q + 1)*(q + 3)/17
Let o(z) be the first derivative of -2*z**4/5 - 518*z**3/15 - 444*z**2/5 - 378*z/5 - 2636. Find b such that o(b) = 0.
-63, -1, -3/4
Let i = -7640891/4 + 1910223. Factor 69/2*l + i*l**2 + 4761/4.
(l + 69)**2/4
Let z(m) = -81 - 40 + 196*m - 64*m**2 - 20*m**2. Let h(d) = -169*d**2 + 391*d - 241. Let k = -2545 + 2536. Let l(w) = k*z(w) + 4*h(w). Solve l(g) = 0 for g.
5/4
Let u be -2 - -12 - (668/32 - 11). Let v(p) be the second derivative of -u*p**4 + 0 - 25*p - 9/2*p**3 - 243/4*p**2. Factor v(m).
-3*(m + 9)**2/2
Let h(o) be the first derivative of 0*o + 0*o**2 - 16 + 130/3*o**3 - 5/4*o**4. Determine x, given that h(x) = 0.
0, 26
Let m(l) be the second derivative of l**5/5 - 5*l**4/3 - 56*l**3/3 + 64*l**2 - 1010*l. Determine o, given that m(o) = 0.
-4, 1, 8
Let v be (-26071)/(-186) + 2/(-12). Let g be v/315 + (-44)/180. Determine m, given that 1/5*m + 0 + g*m**2 = 0.
-1, 0
Let w(v) be the first derivative of 0*v**3 + 7*v + 1/70*v**5 - 4 - 1/42*v**4 + 0*v**2. Let i(z) be the first derivative of w(z). Factor i(t).
2*t**2*(t - 1)/7
Let p(r) = r**2 - 3*r - 19. Let c be p(-4). Let t be (-84)/c - -5 - -5. Let -8/3 - 2*o + t*o**2 = 0. What is o?
-1, 4
Factor 471/8*f - 159/4 - 75/4*f**2 - 3/8*f**3.
-3*(f - 2)*(f - 1)*(f + 53)/8
Suppose 445*r + 426 - 3541 = 0. Let o(g) be the third derivative of -1/30*g**5 - 4*g**2 - 1/18*g**4 - 1/1260*g**r + 0*g**3 + 0 - 1/120*g**6 + 0*g. Factor o(z).
-z*(z + 2)**3/6
Let i be 154/(-70)*(-6)/(-33)*-10. Let -7/3 - 6*f**3 + 26/3*f**2 - 19/3*f**i + f**5 + 5*f = 0. Calculate f.
-1, 1/3, 1, 7
Let t(n) be the third derivative of 0 - 5/24*n**6 + 90*n**3 - 45*n**4 + 0*n - 41*n**2 + 21/4*n**5. Factor t(j).
-5*(j - 6)**2*(5*j - 3)
Let r be (81/192)/((-168)/(-224)). Let z(t) be the first derivative of 9 + 0*t - 1/2*t**3 + 3/32*t**4 + r*t**2. Factor z(y).
3*y*(y - 3)*(y - 1)/8
Let h(o) be the first derivative of -5*o**6/6 - 4*o**5 + 5*o**4/2 + 20*o**3 - 45*o**2/2 - 1522. Suppose h(s) = 0. Calculate s.
-3, 0, 1
Let a = 126165 + -630813/5. Factor 32/5*f + 2/5*f**3 + 2/5*f**5 + 0 - 48/5*f**2 + a*f**4.
2*f*(f - 1)**2*(f + 4)**2/5
Let h = 1 + 55. Factor h*a - 143*a**4 - 42*a**3 - 8*a**2 + 2*a**5 + 280*a**4 - 145*a**4.
2*a*(a - 7)*(a - 1)*(a + 2)**2
Let p(g) = -75*g**2 + 48*g - 41. Let f(d) = -56*d**2 + 47*d - 42. Let i(n) = -4*f(n) + 3*p(n). Find k, given that i(k) = 0.
-45, 1
Let i(u) be the third derivative of u**8/336 - 254*u**7/105 + 10837*u**6/20 - 32131*u**5/15 + 64009*u**4/24 - 2028*u**2. Determine f so that i(f) = 0.
0, 1, 253
Let d = 49 + -45. Suppose 0*m + 2 = 2*l - 4*m, 5*l - d*m - 5 = 0. Factor -2 - l + 13 - 4*v**2 + 6.
-4*(v - 2)*(v + 2)
Suppose 34*i - 6*i = 7*i + 42. Find v, given that -51/7*v + 12/7*v**i + 12/7 = 0.
1/4, 4
Let i be ((-2352)/9)/(-7) + 2/3. Suppose 0 = i*j - 35*j - 15. Let d(v) = -9*v**2 - 9*v - 8. Let q(k) = k**2 + k + 1. Let b(y) = j*d(y) + 40*q(y). Factor b(w).
-5*w*(w + 1)
Let 5*w**3 + 13002 + 20220605*w - 20110*w**2 - 13002 = 0. Calculate w.
0, 2011
Let b(r) be the third derivative of -r**6/30 - 181*r**5/15 - 2*r**2 - 9*r. What is u in b(u) = 0?
-181, 0
Let v be 2 + 0 + ((-10)/(-3) - 656/492). Let m(j) be the second derivative of -5/72*j**v + 0*j**2 + 5/18*j**3 - 20*j + 0. Factor m(a).
-5*a*(a - 2)/6
Let p(j) be the third derivative of 16/3*j**3 + 0 + 2/35*j**7 - j**2 + 19/30*j**6 + 6*j**4 + 14/5*j**5 - 5*j. Factor p(k).
4*(k + 2)**3*(3*k + 1)
Let s(z) = -z**3 - 8*z**2 - 7*z + 10. Let r be s(-7). Solve -11*m**2 + 3*m**3 + 41*m**2 + 64*m - 21*m**3 + r + 14 = 0 for m.
-2/3, 3
Let d(r) be the first derivative of -4*r**5/5 - 118*r**4/3 - 1312*r**3/3 - 1660*r**2 - 2900*r/3 + 1514. Solve d(b) = 0 for b.
-29, -5, -1/3
Let u(z) be the first derivative of -135 + 0*z**2 + 32/3*z - 2/9*z**3. What is p in u(p) = 0?
-4, 4
Let v(j) = -j**3 + 10*j**2 - 58. Let h be v(8). Factor 33*f**2 - 27*f**2 - 21*f**2 + h*f.
-5*f*(3*f - 14)
Let n(q) be the third derivative of -q**5/20 + 147*q**4/8 + 74*q**3 - 4*q**2 - 466. Suppose n(y) = 0. Calculate y.
-1, 148
Let t(q) be the first derivative of -q**7/105 - q**6/15 - 3*q**5/25 + 2*q**4/15 + 8*q**3/15 + 192*q + 43. Let k(f) be the first derivative of t(f). Factor k(g).
-2*g*(g - 1)*(g + 2)**3/5
Let b be (-1 + 4)/(3/(1060/80 + -6)). What is m in -b*m**2 - 9/2 - 1/4*m**4 - 39/4*m - 9/4*m**3 = 0?
-3, -2, -1
Let u be (-1 + 18/48)/(15/(-9)). Let z(n) be the third derivative of 0*n + 0 + 6*n**2 + 1/80*n**5 + u*n**3 - 1/8*n**4. Solve z(i) = 0.
1, 3
Let x be (-66 - -69) + (-89)/30. Let a(w) be the first derivative of -1/8*w**4 + x*w**5 + 1/36*w**6 - 5/18*w**3 - 15 - 1/6*w**2 + 0*w. Factor a(h).
h*(h - 2)*(h + 1)**3/6
Let a(t) be the third derivative of -t**2 + 0*t - 1/336*t**8 + 2*t**4 + 1/5*t**6 + 12 + 16/15*t**5 + 0*t**7 + 0*t**3. Factor a(n).
-n*(n - 6)*(n + 2)**3
Let q(b) = 2*b**2 - 1290*b - 2896. Let g(z) = -z**2 + 634*z + 1448. Let r(v) = 7*g(v) + 4*q(v). Let r(u) = 0. Calculate u.
-2, 724
Let d(y) = -5*y**3 - y**2 + y + 1. Let t be d(-1). Solve -54*a**3 + 141*a**t - 6*a**5 + 20*a**2 - 51*a**4 - 50*a**4 = 0 for a.
0, 2/3, 1, 5
Let -2/9*y**2 - 1040/3*y - 135200 = 0. What is y?
-780
Factor 66*i + 48 - 39/2*i**2.
-3*(i - 4)*(13*i + 8)/2
Suppose s - 3 = -2*u, -3*s + 9 = -0*s - 3*u. Suppose 0 = -s*y - 0 + 6. Factor 6*x - 5*x**2 + x**y - 6*x - 16*x.
-4*x*(x + 4)
Let r(j) be the first derivative of 14*j**5 + 275*j**4/4 - 20*j**3/3 - 2120. Solve r(i) = 0.
-4, 0, 1/14
Let d(m) be the second derivative of -m + 0*m**2 + 1/21*m**4 - 1/21*m**3 - 1/70*m**5 - 4. Determine o so that d(o) = 0.
0, 1
Let u(r) = 0 + 18 + 28*r - 23*r. Let t be u(-3). Factor -534*d**t + 14*d +