*6. Factor g(u).
(u - 2)*(u + 1)**3
Let z be (-2 - -14) + -10 + 1. Suppose 448*a**4 - 20*a**3 - 447*a**4 + 24*a**z = 0. What is a?
-4, 0
Suppose -532*m + 512*m - 220 = 0. Let h be 31/(-77) - ((-5)/m + -1). Factor 0 + h*j**2 + 4/7*j.
j*(j + 4)/7
Solve 25*x**2 + 1436*x**3 - 478*x**3 + 360 - 481*x**3 + 446*x - 56*x - 482*x**3 = 0.
-6, -1, 12
Let d(s) be the first derivative of -10/9*s - 111 + 1/27*s**3 - 1/6*s**2. Factor d(l).
(l - 5)*(l + 2)/9
Let d(t) = -t**3 - 10*t**2 + 16*t - 9. Let n be d(-7). Let w = -264 - n. Determine c so that -69/5*c**3 - 66/5*c**w + 24/5 - 3*c**5 + 42/5*c**2 + 84/5*c = 0.
-2, -1, -2/5, 1
Let n(g) = -866*g - 25978. Let b be n(-30). Factor 12*c**b - 1/6*c**3 + 2304 - 288*c.
-(c - 24)**3/6
Let a(t) be the third derivative of t**6/40 + 419*t**5/20 + 44099*t**4/8 + 43681*t**3/2 - 53*t**2 - 13. Factor a(i).
3*(i + 1)*(i + 209)**2
Suppose 7*r = 5*n + 3*r, -2*n + 2*r = 2. Factor 4*v - 10*v**2 - 7*v**3 + 10*v**2 + 92*v**n - 89*v**4.
v*(v - 2)*(v - 1)*(3*v + 2)
Let p(g) = 5*g**3 + 193*g**2 + 1498*g - 13222. Let l(j) = 35*j**3 + 1355*j**2 + 10485*j - 92555. Let y(u) = -3*l(u) + 20*p(u). Factor y(w).
-5*(w - 5)*(w + 23)**2
Let z be -3*(-2)/3 + (-9 - -11). Let y(d) be the third derivative of -1/12*d**5 + 0 + 5/3*d**3 + 0*d + 5/24*d**z - 14*d**2. Factor y(l).
-5*(l - 2)*(l + 1)
Let n(o) be the second derivative of 1/9*o**2 + 1/54*o**4 + 2/27*o**3 + 16 + 3*o. Solve n(m) = 0 for m.
-1
Let f(k) = 1878*k + 28172. Let l be f(-15). Find p, given that -112/23*p**4 - 6/23*p - 32/23*p**5 - 34/23*p**3 + 40/23*p**l + 0 = 0.
-3, -1, 0, 1/4
Let y(o) = 10*o**2 + 30*o + 15. Let a(j) = 11*j**2 + 30*j + 13. Let h = 353 + -359. Let z(x) = h*y(x) + 5*a(x). Let z(v) = 0. What is v?
-5, -1
Let d be -6*(-4 - 52/(-12)). Let u be ((-6)/d)/(15/20). Factor -12*q - 127*q**2 + 8*q**3 + u*q**5 + 65*q**2 + 54*q**2 + 12*q**4 - 4.
4*(q - 1)*(q + 1)**4
Let x(h) = -4*h**2 - 113*h + 2906. Let k = -319 - -323. Let p(t) = -3*t**2 - 112*t + 2908. Let m(b) = k*x(b) - 5*p(b). Factor m(s).
-(s - 54)**2
Let j = -466078/5 + 92720. Let q = 496 + j. Determine g, given that 2*g**2 - 2/5 - 16/5*g**4 + 8/5*g**5 + 2/5*g**3 - q*g = 0.
-1/2, 1
Let i(b) be the third derivative of -1/100*b**5 + 1/120*b**6 + 0 + 0*b - 20*b**2 + 0*b**3 - 3/40*b**4 - 1/1050*b**7. Solve i(m) = 0.
-1, 0, 3
Let m(l) be the first derivative of -l**3/9 - 104*l**2/3 - 69*l - 982. Factor m(q).
-(q + 1)*(q + 207)/3
Let l(j) be the third derivative of -j**5/15 + 143*j**4/6 + 1480*j**3/3 + 24*j**2 - 4*j + 9. Solve l(h) = 0.
-5, 148
Suppose -2/11*d**3 - 338/11*d + 56/11*d**2 - 36 = 0. What is d?
-1, 11, 18
Let q be (3/(-14))/(12/(-16))*7. Factor 2*o - 50 + 152*o**2 - 10 + 150*o**2 + 6*o - 298*o**q.
4*(o - 3)*(o + 5)
Let o(u) = 34*u + 206. Let y be o(-6). Factor -60 - 13*a**3 - 25*a**2 - 26*a**y - 136*a + 40*a + 4*a**3.
-3*(a + 2)**2*(3*a + 5)
Let t(f) be the third derivative of 7/180*f**6 - 1/45*f**5 + 0 - 7/9*f**4 + 40*f**2 - 3*f + 8/9*f**3. Factor t(k).
2*(k - 2)*(k + 2)*(7*k - 2)/3
Let d(p) be the second derivative of -p**6/120 + 167*p**5/16 + 209*p**4/12 + 4274*p. What is c in d(c) = 0?
-1, 0, 836
Factor -9/4*m**4 + 1/4*m**5 - 3/4*m**3 + 0 + 29/4*m**2 - 9/2*m.
m*(m - 9)*(m - 1)**2*(m + 2)/4
Find x such that 704 + 1396*x**2 + 614*x**2 + 3934 - 5*x**3 - 5995*x - 1388 + 740 = 0.
1, 2, 399
Let p(y) be the third derivative of -y**6/24 + y**5/2 + 65*y**4/24 - 35*y**3 - 315*y**2. Factor p(h).
-5*(h - 7)*(h - 2)*(h + 3)
Let y(p) be the third derivative of -p**5/120 - 503*p**4/24 + 1007*p**3/12 - 4*p**2 - 243*p - 3. Find l, given that y(l) = 0.
-1007, 1
Let v(p) be the first derivative of -p**5/60 + 13*p**4/24 - 11*p**3/3 + 35*p**2 - 38. Let u(m) be the second derivative of v(m). Find h such that u(h) = 0.
2, 11
Let m(p) be the second derivative of p**6/105 + p**5/35 - 9*p**4/14 + 108*p**2/7 - 539*p - 2. Suppose m(j) = 0. What is j?
-6, -2, 3
Let k(s) be the third derivative of -s**6/280 + 90*s**5/7 - 135000*s**4/7 + 108000000*s**3/7 + 5844*s**2. Factor k(m).
-3*(m - 600)**3/7
Suppose 5*q - 3*u - 4374 = 0, 4*u - 2704 = -3*q - 97. Suppose -q*m**4 + 1750*m**4 + 6*m**3 + 8*m - 878*m**4 - 12*m**2 = 0. What is m?
0, 2
Let m be 1657736/52976 + (-6)/(-44). Determine g, given that -16*g**2 - 88/7*g**3 + 40/7*g**4 - 4/7*g**5 + 200/7 + m*g = 0.
-1, 2, 5
Let p(t) = -t**3 - 39*t**2 - 115*t - 249. Let k be p(-36). Let q(s) be the second derivative of 5/9*s**3 + 0 + 1/9*s**4 - s**2 + k*s. Factor q(m).
2*(m + 3)*(2*m - 1)/3
Let n be 15*2/24*(-4)/(-1). Let v(d) = d**3 + 3*d**2 - d - 11. Let c be v(n). Factor -c - 3*z**2 + 7*z**2 + 144 + 36*z.
4*(z - 1)*(z + 10)
Let a = 5128/255 + -576/85. Factor -1/3*r**2 - a*r - 400/3.
-(r + 20)**2/3
Let j = -42 - -119. Find l such that -20*l + 141*l**2 - 525*l**3 + 43*l**2 + j*l**2 - l**2 = 0.
0, 2/21, 2/5
Let 395641/3*f**2 - 1/3*f**5 + 0*f + 0 + 1259/3*f**4 - 396899/3*f**3 = 0. What is f?
0, 1, 629
Let g(v) = -16*v**2 + 619*v - 3134. Let b be g(6). Solve 1/3*z**b + 506*z**2 + 76/3*z**3 + 2812/3*z + 1369/3 = 0 for z.
-37, -1
Let r = -7798/5 - -1561. Let y be 168/20 + -4 + 1 + -5. Determine j, given that r*j**2 - j - y = 0.
-2/7, 1
Determine n so that 115 - 40*n**4 - 34*n**2 + 23*n**5 - 3 - 21*n**5 - 42*n**2 - 120*n + 4*n**4 + 118*n**3 = 0.
-1, 1, 2, 14
Let l = 187 - 185. Factor 215*s**l - 110*s**2 - 90 + 5*s + 40*s - 110*s**2.
-5*(s - 6)*(s - 3)
Let u(y) be the second derivative of -y**6/70 + 3*y**5/28 + 37*y**4/28 - 5*y**3/14 - 54*y**2/7 + 105*y + 1. Solve u(p) = 0 for p.
-4, -1, 1, 9
Let l(i) be the first derivative of -5/3*i**2 + 0*i - 17/8*i**4 - 14/3*i**3 - 7/30*i**5 - 42. Factor l(a).
-a*(a + 2)*(a + 5)*(7*a + 2)/6
Let c = -5980 + 89701/15. Let b(o) be the second derivative of -1/30*o**4 - c*o**3 + 0 + 13*o + 6/5*o**2. Let b(w) = 0. Calculate w.
-3, 2
Let z(m) be the first derivative of -140 + 2/25*m**5 + 0*m**4 - 8/15*m**3 + 0*m**2 + 0*m. Factor z(b).
2*b**2*(b - 2)*(b + 2)/5
Let w = 448 + -433. Let o be 1*(w/21 + 1). Determine m, given that -4/7*m**4 - 4/7*m**3 + 4/7*m + o*m**2 - 8/7 = 0.
-2, -1, 1
Let b(h) be the second derivative of h**6/70 + 87*h**5/140 - 305*h**4/28 - 333*h**3/14 + 15130*h. Factor b(r).
3*r*(r - 9)*(r + 1)*(r + 37)/7
Let m(a) be the third derivative of a**6/24 - 5*a**5/6 - 265*a**4/24 - 35*a**3 + 1146*a**2 + a. Determine u so that m(u) = 0.
-3, -1, 14
Let 927/2*j - 6*j**5 + 225/2*j**3 - 81 - 1185/2*j**2 + 207/2*j**4 = 0. Calculate j.
-3, 1/4, 1, 18
Let a(s) = -224*s**3 - 950*s**2 - 2020*s - 1030. Let l(n) = -51*n**3 - 211*n**2 - 449*n - 229. Let t(r) = 5*a(r) - 22*l(r). Factor t(j).
2*(j - 56)*(j + 1)**2
Let s(r) be the second derivative of -10/39*r**3 - 1/78*r**4 + 16 - 2*r - 16/13*r**2. Suppose s(m) = 0. What is m?
-8, -2
Suppose -1341/7*v**2 + 1854/7*v + 15/7*v**3 - 528/7 = 0. Calculate v.
2/5, 1, 88
Let y(f) = f**2 - 1. Let p(o) = -10 - 55*o - 10*o - 36*o**2 + 111*o. Let r(d) = -2*p(d) + 12*y(d). Factor r(i).
4*(i - 1)*(21*i - 2)
Let x(n) be the second derivative of 2*n**6/15 + 3*n**5 + 74*n**4/3 + 88*n**3 + 144*n**2 + 459*n. Let x(p) = 0. Calculate p.
-6, -2, -1
Suppose u - l + 11 = -4*l, 0 = -4*u - 3*l + 1. Let h be 2/(-3)*((-30)/u - -3). Solve -64*a - 352/3*a**2 + 30*a**4 - 152/3*a**h + 50/3*a**5 - 32/3 = 0.
-2, -1, -2/5, 2
Let 137780 - 690*z + 1213*z**2 - 970*z - 1208*z**2 = 0. What is z?
166
Factor -12317*r**2 - 12315*r**2 + 390*r + 160 + 24607*r**2.
-5*(r - 16)*(5*r + 2)
Let s = -722258 - -722261. Determine y so that 50/9*y**s + 0 + 16/3*y**2 - 22/3*y**4 + 8/9*y - 40/9*y**5 = 0.
-2, -2/5, -1/4, 0, 1
Let s(k) = -71*k**2 + 6*k - 7. Let w be s(4). Let y = -782 - w. Factor -y*b + 3*b**4 + 310*b + 15*b**3 + 9*b**2 + 0*b**4.
3*b*(b - 1)*(b + 3)**2
Let m be (14/(-8) + 1)/(7603/(-22809)). Solve 3/4*y**5 + 0 + 75/4*y**2 - 27/4*y**4 + 27/2*y - m*y**3 = 0.
-1, 0, 2, 9
Solve 14/3*w**2 + 6*w - 42 - 2/3*w**3 = 0.
-3, 3, 7
Factor -516 - 117*g - 362*g**2 - 273*g**2 + 638*g**2.
3*(g - 43)*(g + 4)
Let y(v) be the third derivative of 0 - 58*v**2 + 1/672*v**8 + 0*v**3 + 1/24*v**4 + 1/120*v**5 + 0*v - 1/420*v**7 - 1/80*v**6. Factor y(d).
d*(d - 2)*(d - 1)*(d + 1)**2/2
Let u(c) = 39*c**3 + 92*c**2 + 40*c. Let l be -3 - -7 - 6*1 - 0. Let m(o) = 860*o**3 + 2025*o**2 + 880*o. Let z(v) = l*m(v) + 45*u(v). What is j in z(j) = 0?
-2, -4/7, 0
Let r(b) = -b**3 - 2*b**2 + 3*b + 2. Let h(