 - 20*k - 32. Let g(x) = -3*a(x) - 4*v(x). Factor g(b).
-2*(b + 2)*(b + 8)
Factor 776525*q**2 + 5*q**3 - 776545*q**2 - 1170 - 354*q - 141*q.
5*(q - 13)*(q + 3)*(q + 6)
Let s(g) be the second derivative of -5*g**4/72 + 10*g**3/9 - 35*g**2/12 - 2*g + 106. Factor s(l).
-5*(l - 7)*(l - 1)/6
Let c = -609 - -866. Factor -4*t**3 + c*t**2 - 144 - 487*t**2 + 258*t**2.
-4*(t - 6)*(t - 3)*(t + 2)
Let l be (138/8 - 17)/((-2)/(-16)). Let g(s) be the second derivative of 0 + 7*s - 1/3*s**l - 4/27*s**3 - 1/54*s**4. Factor g(j).
-2*(j + 1)*(j + 3)/9
Suppose 340/11*u**2 - 318/11*u + 32/11*u**4 + 108/11 - 2/11*u**5 - 160/11*u**3 = 0. What is u?
1, 2, 3, 9
Let c be 14/(-77) + 1505/473. Let f(a) be the third derivative of 1/140*a**5 + 1/1470*a**7 + 0 - 1/168*a**4 + 0*a + 0*a**c + a**2 - 1/280*a**6. Factor f(q).
q*(q - 1)**3/7
Let d(g) be the second derivative of g**7/7140 - 101*g**6/6120 - g**5/30 - 35*g**4/12 + g**2 + 53*g. Let m(w) be the third derivative of d(w). Factor m(t).
2*(t - 34)*(3*t + 1)/17
Suppose -5*j + 85 + 45 = 0. Find a such that 29*a**2 - j*a**2 - a + 16*a - 42 = 0.
-7, 2
Let 1892*x**2 - 433 + 5188*x**3 + 2333 - 10382*x**3 + 5190*x**3 + 3796*x = 0. What is x?
-1, 475
Let f be 22 + -16 - 1*-49. Let a be 10 + (-11)/(f/40). Solve 6/5*h**4 + 2/5*h**3 - 4/5*h + 0 + 2/5*h**5 - 6/5*h**a = 0 for h.
-2, -1, 0, 1
Let q(k) be the second derivative of k**5/300 + k**4/6 - 7*k**3/10 - 121*k**2 + 19*k. Let t(d) be the first derivative of q(d). Factor t(g).
(g - 1)*(g + 21)/5
Let s(q) be the second derivative of -q**5/200 - q**4/5 - 39*q**3/20 - 81*q**2/10 + 3*q + 169. Factor s(c).
-(c + 3)**2*(c + 18)/10
Solve 138*g**2 + 126*g**2 - 17*g**2 - 44*g**3 - 56*g**3 + 532*g - 19*g**2 + 196 + 8*g**4 = 0.
-1, -1/2, 7
Let d(i) be the second derivative of 11*i**7/22680 - i**6/648 - i**5/1080 - i**4/3 - 9*i**2/2 + 67*i. Let q(m) be the third derivative of d(m). Factor q(b).
(b - 1)*(11*b + 1)/9
Let t = 122 - 62. Let k = 62 - t. Solve -6*y**2 + 4*y**4 + 0*y**4 - 2*y + k - 2*y**3 + 4*y = 0 for y.
-1, -1/2, 1
Let j(r) = -1009*r - 15131. Let k be j(-15). Determine f so that 2/13*f**k + 10/13*f - 18/13*f**2 + 0 + 6/13*f**3 = 0.
-5, 0, 1
Factor 5567*u**4 + 146*u**2 - 135*u**2 - 5561*u**4 - 17*u**3.
u**2*(u - 1)*(6*u - 11)
Solve 38 + 122 + 19*x**3 - 4*x**3 + 35*x**3 + 45*x**2 + 5*x**4 - 260*x + 0*x**4 = 0.
-8, -4, 1
Let x = -123448 - -370360/3. Factor -16/3 + 4*f**2 - 4/3*f**4 + 8/3*f**3 - x*f.
-4*(f - 2)**2*(f + 1)**2/3
Let v be ((-44066)/921380)/(2/(-80)). Factor -v*n + 0 + 2/23*n**2.
2*n*(n - 22)/23
Let t(g) be the third derivative of g**5/120 + 31*g**4/48 + 29*g**3/6 - 115*g**2 + 1. Suppose t(u) = 0. What is u?
-29, -2
Find m, given that -2/7*m**2 + 600/7 + 110/7*m = 0.
-5, 60
Let x(z) be the first derivative of 1/24*z**6 + 1/12*z**3 - 1/16*z**4 + 0*z**2 - 1/20*z**5 + 3 + 0*z. Factor x(i).
i**2*(i - 1)**2*(i + 1)/4
Suppose 67*s**4 + 21*s**4 + 4282*s**2 - 4*s**5 - 3850*s**2 + 524*s**3 = 0. What is s?
-4, -1, 0, 27
Let u be (-4)/2 - 24/(-9). Let k = 217235 - 651703/3. Factor 0*a + 0 - 2/3*a**3 + 2/3*a**4 + k*a**5 - u*a**2.
2*a**2*(a - 1)*(a + 1)**2/3
Let p(s) = 3*s**5 + 43*s**4 + 79*s**3 + 4*s**2 - 77*s - 37. Let x(r) = r**5 + r**4 - r**3 + r + 1. Let g(j) = -p(j) + 5*x(j). Solve g(y) = 0 for y.
-1, 1, 21
Let x = 247752 - 247750. Factor -3/7*v**3 - 3*v - 30/7*v**x + 54/7.
-3*(v - 1)*(v + 2)*(v + 9)/7
Let y(q) be the third derivative of -q**8/1176 + 13*q**7/735 - 13*q**6/140 - 41*q**5/210 + 38*q**4/21 - 4*q**3 + 4976*q**2. Solve y(t) = 0.
-2, 1, 6, 7
Suppose 4*b - t - 138 = 0, 0 = 4*b - 2*t - t - 142. Let v be b/(-85) - 20/(-25). Factor -v + 6/5*d + 8/5*d**2.
2*(d + 1)*(4*d - 1)/5
Let i(k) be the first derivative of 1/2*k**4 - 83 + 0*k - 2/25*k**5 + 0*k**2 - 8/15*k**3. Solve i(d) = 0.
0, 1, 4
Let x = -9167/2 - -4586. Let p(f) be the second derivative of 0 - x*f**2 - 10*f - 5/3*f**3 + 1/6*f**6 + 0*f**4 + 1/2*f**5. Solve p(y) = 0 for y.
-1, 1
Let p(y) = -y**3 - 6*y**2 - 6*y + 1. Let h be p(-5). Let s be 18/7*((-20)/5 + h). Let -8/7 - 4/7*o**4 + 4*o - s*o**2 + 20/7*o**3 = 0. What is o?
1, 2
Let f = 813/32 + -2375/96. Factor 3*d - 1/3*d**5 + 2*d**4 - 8/3*d**3 - f*d**2 - 4/3.
-(d - 4)*(d - 1)**3*(d + 1)/3
Let u(j) be the second derivative of -j**4/12 + j**3 + 9*j**2/2 + 14*j. Let w be u(7). Factor 5*l**2 - w*l - 6*l**2 + 2*l**2 - 3*l**2.
-2*l*(l + 1)
Let o(y) be the third derivative of y**6/15 - 17*y**5/15 + 19*y**4/3 - 10*y**3 + 78*y**2 - 4*y. Factor o(w).
4*(w - 5)*(w - 3)*(2*w - 1)
Suppose 0 = -12*p + 246 + 366. Suppose -75*m + 288 = -p*m. Determine c, given that 64/3*c**2 - 38*c - 10/3*c**3 + m = 0.
2/5, 3
Let v(y) = 9*y**2 - 22*y + 5. Suppose -38*x + 50 = -26. Let o(t) = -4*t**2 + 12*t - 2. Let p(b) = x*v(b) + 5*o(b). Let p(z) = 0. What is z?
0, 8
Let b = 4/48499 - -3103900/436491. What is q in -8/9*q**4 + 0 + 22/9*q - b*q**2 - 94/9*q**3 = 0?
-11, -1, 0, 1/4
Let j(d) be the first derivative of 16*d**5/5 + 35*d**4 + 116*d**3 + 112*d**2 - 80*d + 1169. Determine h, given that j(h) = 0.
-5, -2, 1/4
Factor -440 - 162 + 2*v**2 - 4*v**2 - 262 - 224*v.
-2*(v + 4)*(v + 108)
Let x(p) be the first derivative of -p**4/2 + 940*p**3/3 - 937*p**2 + 936*p + 3674. Suppose x(f) = 0. What is f?
1, 468
Suppose -5*c + 21*c - 25 = 11*c. Let b(f) be the second derivative of -1/170*f**c + 1/17*f**4 - 3/17*f**3 + 0 + 4/17*f**2 + 17*f. Factor b(q).
-2*(q - 4)*(q - 1)**2/17
Factor -378*i**4 - 93744*i**2 + 92256*i + 0 + 3/2*i**5 + 24558*i**3.
3*i*(i - 124)**2*(i - 2)**2/2
Let g be (96/(-36))/((-4)/6). Suppose 4*k**3 + g*k**2 - 3*k**3 - 18 + 2*k + 3*k - 8*k = 0. Calculate k.
-3, 2
Factor 0*f + 21/5*f**2 - 43/5*f**3 - 1/5*f**5 + 0 + 23/5*f**4.
-f**2*(f - 21)*(f - 1)**2/5
Let h(c) be the third derivative of 0 - 1/1155*c**7 + 1/660*c**6 + 1/44*c**4 + 0*c**3 + 1/66*c**5 + 295*c**2 + 0*c. Factor h(l).
-2*l*(l - 3)*(l + 1)**2/11
Let y be (80/300)/(((-4)/200)/(13/(-78))). Let y*t - 2/3 + 38/3*t**2 = 0. What is t?
-1/3, 3/19
Let q(n) be the first derivative of -2*n**3/21 - 66*n**2/7 - 496*n/7 + 3015. Factor q(c).
-2*(c + 4)*(c + 62)/7
Suppose 3*z - 3*l = 2*l + 33, 18 = 4*z + 2*l. Let t be 4 - 4 - (-2)/(4/z). Factor 3*x + 3*x + 2*x**t + 3*x**2 + 3*x**3 + 14*x**2.
x*(x + 3)*(5*x + 2)
Let q(i) be the first derivative of -2*i**3/27 + 848*i**2/9 - 359552*i/9 - 2127. Factor q(u).
-2*(u - 424)**2/9
Let h be ((-6)/(-5))/(-1 + (-48)/(-30)). Let q(r) be the second derivative of -25/3*r**h - 10/9*r**3 - 1/18*r**4 - r + 0. Solve q(j) = 0.
-5
Factor -102*z**2 + 51*z**2 + 480 + 50*z**2 + 52*z.
-(z - 60)*(z + 8)
Let d(l) be the first derivative of l**6/9 + 4*l**5/3 + 17*l**4/6 + 16*l**3/9 + 864. Suppose d(i) = 0. Calculate i.
-8, -1, 0
Let v be -8 + 2 - 1/2*54/(-3). Determine k, given that 2/7*k**v - 2/7*k**2 + 8/7 - 8/7*k = 0.
-2, 1, 2
Let q be (-20)/50 - 10/(-25). Let w be (q - 9)*(-306)/9639. Let 0 + 0*j**2 - w*j**3 + 2/7*j = 0. What is j?
-1, 0, 1
Find g, given that 341*g + 62 + 259*g**3 + 127*g**2 + 33 + 3 - 5*g**4 - 742*g**2 - 78*g**2 = 0.
-1/5, 1, 2, 49
Let q = 112110/3179 - 388/11. Let v = 295/867 + q. Factor -v*p - 2/3*p**2 + 2/3 + 1/3*p**3.
(p - 2)*(p - 1)*(p + 1)/3
Let l(w) be the first derivative of -2*w**3/27 + 50*w**2/9 + 208*w/9 + 1556. Factor l(n).
-2*(n - 52)*(n + 2)/9
Solve -32*l**2 - 18/5*l**4 - 96/5*l**3 + 0*l - 1/5*l**5 + 0 = 0 for l.
-10, -4, 0
Let b(v) = -6*v**3 - 32*v**2 - 274*v + 300. Let x(h) = 4*h**3 + 32*h**2 + 275*h - 302. Let d(p) = 3*b(p) + 4*x(p). Find w such that d(w) = 0.
-7, 1, 22
Let -442/7*s**3 - 2/7*s**4 - 32412/7*s**2 - 777592/7*s + 810448/7 = 0. Calculate s.
-74, 1
Let o(t) be the second derivative of -t**5/120 - 35*t**4/8 - 3675*t**3/4 - 385875*t**2/4 + 12*t + 28. Factor o(d).
-(d + 105)**3/6
Let h(z) be the second derivative of -z**5/5 + 53*z**4 + 19*z - 50. Suppose h(d) = 0. What is d?
0, 159
Let l(j) be the third derivative of j**7/3780 + j**6/72 + 7*j**5/90 - 77*j**4/24 - 106*j**2. Let d(a) be the second derivative of l(a). Factor d(t).
2*(t + 1)*(t + 14)/3
Let x(u) = 12*u**3 - 819*u**2 + 2088*u - 1056. Let k(t) = -18*t**3 + 1228*t**2 - 3128*t + 1584. Let m(p) = -5*k(p) - 8*x(p). Factor m(l).
-2*(l - 66)*(l - 2)*(3*l - 2)
Suppose 4*s**2 + 192*s + 5*s**3 - 423*s + 585 - 69*s**2 + 186*s = 0. What is s?
-3, 3, 13
Let m = -630 + 665. Suppose m*r = 18 + 87. Factor -2/3 + 2/3*s**2 + 2/