3*f**5 - 186*f**4 - 369*f**3 - 9*f**2 - 9*f. Let j(o) = 9*p(o) - 5*y(o). Factor j(m).
-3*m**3*(m - 30)*(m + 2)
Let i(q) be the third derivative of q**8/560 + 9*q**7/175 + 19*q**6/40 + 109*q**5/50 + 57*q**4/10 + 44*q**3/5 - 2*q**2 + 146*q. Find b, given that i(b) = 0.
-11, -2, -1
Let c = -3673 + 3673. Let q(m) be the second derivative of 1/50*m**5 + c*m**2 + 0*m**4 + 4*m + 0 - 1/15*m**3. Determine u so that q(u) = 0.
-1, 0, 1
Let x(t) = 2*t**2 + 18*t + 7. Suppose 3*n - 26 = -z, 5*z + 0 = 10. Let v(y) = -11*y + 2 - 7 - 1 - n*y - y**2. Let i(l) = -3*v(l) - 4*x(l). Solve i(r) = 0.
-2, -1
Let z be 4 - 16/(-84)*350/(-20). Let q(u) be the first derivative of 1 + 0*u + 2/3*u**3 - z*u**2. Determine x so that q(x) = 0.
0, 2/3
Let g(o) = -o**3 - 38*o**2 - 37*o + 21. Let p be g(-37). Factor b**2 - 20*b - 2*b**2 - 16*b**3 + p*b**3 + b**2 - 15*b**2.
5*b*(b - 4)*(b + 1)
Let y(u) = -7*u**2 + 313*u + 54. Let x(h) = -2*h**2 - h - 2. Let z(o) = 3*x(o) + y(o). Factor z(i).
-(i - 24)*(13*i + 2)
Let p(j) be the first derivative of j**6/45 - 14*j**5/75 - j**4 - 3459. What is g in p(g) = 0?
-3, 0, 10
Let p(i) be the second derivative of -17*i**4/24 + 4*i**3/3 + i**2/4 - 66*i - 14. Let p(d) = 0. Calculate d.
-1/17, 1
Let r(g) be the second derivative of 1/12*g**4 - 5/6*g**3 - 3*g**2 + 20*g - 1. Determine q so that r(q) = 0.
-1, 6
Let j = -610 - -558. Let w be (-100)/(-25) - j/(-14). Factor 4*m**2 + w*m**5 - 2/7*m**4 + 6/7 - 12/7*m**3 - 22/7*m.
2*(m - 1)**4*(m + 3)/7
Let a(x) be the first derivative of x**4/32 - 29*x**3/8 - 89*x**2/8 + 10807. Solve a(r) = 0.
-2, 0, 89
Suppose -5*y - 5690 = -y + g, 0 = -2*y - 5*g - 2836. Let a = y - -15655/11. Factor -4/11*f**2 - a*f**3 + 0 - 2/11*f.
-2*f*(f + 1)**2/11
Suppose 4*t + 20 = -4*u, 2*u + u - 3*t + 3 = 0. Let k = u - -6. Factor -5*c**4 - c**3 + 0*c**4 - 5*c**k - 9*c**3 + 20*c.
-5*c*(c - 1)*(c + 2)**2
Let g(q) = -3*q**3 + 371*q**2 - 34591*q + 34227. Let z(f) = 31*f**3 - 3710*f**2 + 345908*f - 342271. Let i(y) = 21*g(y) + 2*z(y). Factor i(b).
-(b - 185)**2*(b - 1)
Factor 56 + 29*n + 1/2*n**2.
(n + 2)*(n + 56)/2
Let y(w) be the third derivative of w**5/150 + 319*w**4/6 + 508805*w**3/3 + w**2 + 29*w - 10. Factor y(x).
2*(x + 1595)**2/5
Let w(x) be the third derivative of x**6/30 - 2*x**5/5 + 5*x**4/6 + 8*x**3 - 34*x**2 - 23*x. Determine t, given that w(t) = 0.
-1, 3, 4
Let i be (154/(-28) + 6)*0. Let j(n) be the third derivative of -1/200*n**6 + 25*n**2 + 1/100*n**5 + i*n**3 + 0*n + 0 - 1/120*n**4 + 1/1050*n**7. Factor j(r).
r*(r - 1)**3/5
Let b(h) be the second derivative of -90*h**2 - 65/12*h**4 + 1/6*h**6 + 0 - 85/2*h**3 - 25*h + 3/4*h**5. Factor b(y).
5*(y - 4)*(y + 1)*(y + 3)**2
Suppose -4*v - x + 8 = 3*x, -5*v - 3*x = -12. Let f(o) = 4*o**2 - 2*o. Let g be f(-3). Factor 6*q**3 - 4*q**v - 36*q**2 + 4*q + g*q**2.
2*q*(q + 1)*(q + 2)
Let d**4 - 102*d + 440*d**3 + 11*d**2 - 846*d**3 + 424*d**3 = 0. What is d?
-17, -3, 0, 2
Let g(m) be the second derivative of m**4/12 + 11*m**3/6 + 7*m**2 + 9*m. Let c be g(-10). Factor -c*a**4 + 4 + 12*a**3 + 222*a - 218*a - 12*a**2 - 4.
-4*a*(a - 1)**3
Let 378/5*v - 6/5*v**2 - 636 = 0. What is v?
10, 53
Let v(r) be the first derivative of -3*r**4/16 + 3*r**3/2 + 297*r**2/8 - 78*r + 3679. Suppose v(b) = 0. What is b?
-8, 1, 13
Let r(a) be the third derivative of -a**8/90720 + a**7/7560 + 103*a**5/60 + 17*a**2 - 3*a. Let w(t) be the third derivative of r(t). Factor w(s).
-2*s*(s - 3)/9
Let d(n) be the second derivative of -9/110*n**5 - 1/231*n**7 + 2/55*n**6 + 0*n**2 + 1 + 0*n**4 + 12*n + 0*n**3. Factor d(h).
-2*h**3*(h - 3)**2/11
Determine n, given that -18/5*n**2 + 42/5 + 22/5*n + 2/5*n**3 = 0.
-1, 3, 7
Factor -54*f**3 - 95*f**4 - 40*f**3 + 97*f**4.
2*f**3*(f - 47)
Let q be (5/17)/(4209/71553). Factor -h**4 - 2/3*h**2 + 1/6*h**q + 0 + 6*h - 9/2*h**3.
h*(h - 9)*(h - 1)*(h + 2)**2/6
Let z(v) = -31*v**3 + 46*v**2 + 163*v - 210. Let j(f) = 109*f**3 - 138*f**2 - 489*f + 630. Let o(b) = 6*j(b) + 21*z(b). Factor o(t).
3*(t - 1)*(t + 5)*(t + 42)
Let x be ((-2)/(-3))/((-1484)/(-318)). Let d(b) be the first derivative of x*b**4 + 4/35*b**5 - 2/7*b + 3 - 5/14*b**2 - 2/21*b**3 + 1/42*b**6. Factor d(i).
(i - 1)*(i + 1)**3*(i + 2)/7
Let c(r) be the second derivative of r**4/21 + 34*r**3/21 - 36*r**2/7 - 4*r + 187. Factor c(m).
4*(m - 1)*(m + 18)/7
Let h(i) = 4*i**2 - 335*i + 320. Let c(a) = -a**2 + 84*a - 80. Let w(f) = 22*c(f) + 6*h(f). Factor w(m).
2*(m - 80)*(m - 1)
Let d(y) be the third derivative of -y**6/180 + y**5/10 - y**4/6 - 56*y**3/9 + y**2 + 6*y - 8. Suppose d(g) = 0. Calculate g.
-2, 4, 7
Suppose 3*t = -33*g + 28*g + 381, -5*g + 371 = -2*t. Let a be -3*(-1)/((-3)/(-2)). Factor -13*m + 2*m**2 - 6*m**a - 17*m + m**2 - g.
-3*(m + 5)**2
Let v(b) = -3*b + 63. Let i be v(25). Let s be 28*-4*i/140. Factor s - 216/5*c + 99/5*c**2 - 12/5*c**3.
-3*(c - 4)**2*(4*c - 1)/5
Let d(y) = -18*y + 669. Let c be d(37). Let u(q) be the first derivative of 7 + 2/3*q**c + 50*q - 10*q**2. Factor u(n).
2*(n - 5)**2
Let m(n) = 2*n**2 - 2727*n + 5455. Let v be m(2). Factor 1/2*c**2 + 81/2 - v*c.
(c - 9)**2/2
Factor 9*h**3 - 276*h**3 + 35*h**4 - 121*h**3 - 205*h**3 - 9720*h + 11664 - h**5 + 3105*h**2 + 118*h**3.
-(h - 9)**3*(h - 4)**2
Let n(k) = k**4 - k - 1. Let g(x) = -9*x**4 - 15*x**3 + 18*x**2 + 12*x + 12. Suppose -49 + 27 = 22*t. Let w(r) = t*g(r) - 12*n(r). Let w(b) = 0. Calculate b.
0, 2, 3
Let u(q) be the first derivative of -40 + 1/5*q**5 + 2*q + 7/2*q**2 + 3*q**3 + 5/4*q**4. Solve u(v) = 0 for v.
-2, -1
Let s(l) be the first derivative of -5*l**4/4 + 395*l**3/3 - 760*l**2 + 1500*l + 2388. Find j such that s(j) = 0.
2, 75
Suppose -8*d + 46*d = 114. Let x(b) be the first derivative of 2 + 49/2*b**2 + 343/3*b + 7/3*b**d + 1/12*b**4. Find m such that x(m) = 0.
-7
Let s = 408/37 - -255/148. What is l in 0 - 45/4*l**3 - s*l**2 - 3/2*l = 0?
-1, -2/15, 0
Factor -558*u + 2*u**2 + 1077 - 137 - 3204.
2*(u - 283)*(u + 4)
Let l(a) be the third derivative of 1/1008*a**8 + 48*a + 1/12*a**4 - a**2 + 0*a**3 + 1/180*a**5 - 7/360*a**6 + 0 - 1/630*a**7. Solve l(w) = 0 for w.
-2, -1, 0, 1, 3
Suppose 34*m + 82*u - 84*u = 1574, 2*m - 5*u - 117 = 0. Find b such that -m*b + 1/2*b**2 + 1058 = 0.
46
Let o(r) be the third derivative of -1/260*r**6 + 68*r**2 + 1/130*r**5 + 0*r + 1/1365*r**7 + 0*r**3 - 1/156*r**4 + 0. What is j in o(j) = 0?
0, 1
Let n(h) be the second derivative of -h**5/80 - 97*h**4/24 - 400*h**3 - 2304*h**2 + 2*h - 2854. Find w such that n(w) = 0.
-96, -2
Factor -82*o**3 + 47294 - 3*o**4 - 43164*o**2 - 650*o**3 - 88334 - 143472 + 181536*o.
-3*(o - 2)**2*(o + 124)**2
Let o(v) be the first derivative of 0*v**4 + 99 + 0*v - 8/39*v**3 + 0*v**2 + 2/65*v**5. Factor o(h).
2*h**2*(h - 2)*(h + 2)/13
Let m = 38 - 36. Suppose -m = 6*u - 20. Find r such that 64*r**3 + 4 + 16*r**5 - 60*r**4 + 54*r**u - 40*r**2 - 38*r**3 = 0.
-1/4, 1
Find a, given that 34673*a - 14763*a**2 + 5034*a**3 + 21*a**4 - 37955*a - 6958*a**3 - 9536*a**3 = 0.
-1, -2/7, 0, 547
Let y(r) be the second derivative of r**5/4 - 10*r**4 + 75*r**3/2 + 3375*r**2 + r + 65. Find d, given that y(d) = 0.
-6, 15
Let z(p) be the first derivative of 2*p**6/5 - 3*p**5/25 - 3*p**4/5 + p**3/5 + 11400. What is s in z(s) = 0?
-1, 0, 1/4, 1
Let z(x) = -11*x + 157. Let h = -183 + 197. Let p be z(h). Factor -4/3*t**2 + 0*t - 4/3*t**4 - 8/3*t**p + 0.
-4*t**2*(t + 1)**2/3
Let a(i) be the third derivative of i**6/1800 - i**5/60 + 3*i**4/40 - 13*i**3/3 - 10*i**2 + i. Let t(m) be the first derivative of a(m). Factor t(u).
(u - 9)*(u - 1)/5
Let o = 15 + 26. Let v = -716 - -719. Let -4*k + o - 29 - 4*k**2 - k - v*k = 0. Calculate k.
-3, 1
Let y = 266119/15 + -17741. What is s in -16/15*s**3 - y - 26/5*s**2 - 34/15*s + 32/15*s**4 = 0?
-1, -1/4, 2
Factor 0 + 33/5*a**2 + 9/5*a**3 - 12/5*a.
3*a*(a + 4)*(3*a - 1)/5
Let c = 83 + -79. Suppose -11 = x - 5*s + 1, c*x - 3*s = 3. Determine g so that -9*g**4 - 10*g**4 + 3*g**5 + 16*g**4 - 6*g**x = 0.
-1, 0, 2
Let l = -153 + 156. Suppose -2*n - 98*n + 44*n**2 - 18*n**l + 52 + 22*n**3 = 0. What is n?
-13, 1
Let b(h) = -2710*h - 10840. Let x be b(-4). Let p(g) be the first derivative of x*g + 8 - 9/2*g**2 + g**3. Find k, given that p(k) = 0.
0, 3
Determine i, given that -1898*i - 3538*i + 304*i**2 + 722 + 1389*i + 116*i**2 - 6*i**3 - 5*i**3 = 0.
2/11, 19
