et o be a(r). Find k, given that -o*k**4 - 490*k**5 + 118*k + 2 + 14 - 460*k**4 + 338*k**3 + 460*k**2 + 34*k = 0.
-1, -2/5, -2/7, 1
Let z(y) be the second derivative of 9*y**6/10 + 3*y**5/20 - 17*y**4/4 - y**3/2 + 12*y**2 - 132*y. Factor z(v).
3*(v - 1)*(v + 1)**2*(9*v - 8)
Let g(k) be the third derivative of -k**6/1440 + k**5/120 + 11*k**3/2 - 20*k**2 - 1. Let f(b) be the first derivative of g(b). Find t, given that f(t) = 0.
0, 4
Let j be (-10)/(-9)*29340/(-150). Let u = -216 - j. Find g, given that 2/3 + 2/3*g**4 - u*g**3 + 2/3*g - 4/3*g**2 + 2/3*g**5 = 0.
-1, 1
Let b(m) be the second derivative of 1/7*m**4 + 2/7*m**3 + 0 + 0*m**2 + 3/140*m**5 + 2*m. Factor b(t).
3*t*(t + 2)**2/7
Find o such that 1/4*o**3 - 17/2*o**2 + 65/4*o - 8 = 0.
1, 32
Factor -81*s**2 - 77*s**2 + 232*s**2 + 50*s - 79*s**2 + 195.
-5*(s - 13)*(s + 3)
Suppose 5 = 3*q - 4. Factor 27 - w - 21*w + q*w**2 + 4*w.
3*(w - 3)**2
Let i(w) be the third derivative of -w**7/385 - w**6/44 + 7*w**5/55 + 113*w**2. Solve i(u) = 0.
-7, 0, 2
Let y(r) = r**3 - 32*r**2 + 59*r - 863. Let l be y(31). Factor 0 - 2/3*w - 2/3*w**l - 8/3*w**4 - 8/3*w**2 - 4*w**3.
-2*w*(w + 1)**4/3
Suppose -9 = 4*s - s, 4*s = 3*y - 18. Let z be (3/2)/(1/y). Factor -z*m**3 - 3*m**4 + 9 - 9.
-3*m**3*(m + 1)
Let h(s) be the first derivative of -5/3*s**3 + 5*s + 5/2*s**2 - 5/4*s**4 - 13. Factor h(r).
-5*(r - 1)*(r + 1)**2
Find y, given that 1/3*y**2 - 8 - 23/3*y = 0.
-1, 24
Suppose -b + 15 = 3*q, q - 2*b + 5 = b. Solve -q*s + 38*s**2 + 2*s - 6*s - 40*s**2 = 0.
-4, 0
Let p(w) be the first derivative of 0*w + 1/3*w**3 - 1/4*w**2 + 3/8*w**4 - 4. Find v such that p(v) = 0.
-1, 0, 1/3
Factor -3*p**4 - 6*p**3 + 3/2*p**5 + 0 + 12*p**2 + 0*p.
3*p**2*(p - 2)**2*(p + 2)/2
Suppose -2*w + 6*w - 4*k = 216, 2*w - 104 = k. Factor -125 + w*d - 2*d**2 + 0*d**2 - 3*d**2 + 0*d**2.
-5*(d - 5)**2
Factor c**2 - 5/2*c + 0.
c*(2*c - 5)/2
Suppose -4*y + 38 = -3*x + 2*x, 2*x + 40 = 4*y. Factor -65*i**4 + 59*i**4 - y*i + 4 + 2*i**5 - i**5 + 8*i**3 + 2*i**2.
(i - 4)*(i - 1)**3*(i + 1)
Let r be -4 - -7 - 2/2. Find g, given that r*g - 170*g**2 + 173*g**2 + g = 0.
-1, 0
Let l = 45/17 + -393/187. Let b = -31/77 + l. Let 3/7 + 2/7*f - b*f**2 = 0. What is f?
-1, 3
Find d such that -20*d**2 - 5*d**3 - 52*d**3 - 25*d**4 - 29*d**3 + 6*d**3 + 35*d**5 = 0.
-1, -2/7, 0, 2
Suppose 0 = 2*j - 2*q + 2150, j - 4*q + 5375 = -4*j. Let t be 204/50 - (-86)/j. Find s, given that 36/7*s**3 + 0*s + 4*s**t + 8/7*s**2 + 0 = 0.
-1, -2/7, 0
Factor 7/3*r**2 - 1/3*r**4 + 4/3*r + 2/3*r**3 + 0.
-r*(r - 4)*(r + 1)**2/3
Let 7/3*b**2 - 4 + 1/3*b**3 + 4/3*b = 0. Calculate b.
-6, -2, 1
Factor -39*v**3 + 599*v - 12*v**4 - 150*v - 153*v - 148*v - 154*v - 33*v**2.
-3*v*(v + 1)*(v + 2)*(4*v + 1)
Let b(u) be the third derivative of -u**8/360 + 11*u**7/525 - 53*u**6/900 + 31*u**5/450 - 4*u**3/45 + 36*u**2. Determine i so that b(i) = 0.
-2/7, 1, 2
Let f(o) = -2*o**3 - 508*o**2 - 32776*o - 12. Let a(i) = -2*i**3 - 509*i**2 - 32774*i - 9. Let q(h) = 4*a(h) - 3*f(h). Find m, given that q(m) = 0.
-128, 0
Let -2/7*r**2 - 800/7 - 80/7*r = 0. Calculate r.
-20
Let v(u) = 1 + 0 + 7*u - 3*u + u**2 - 20. Let p be v(-7). Suppose 1/10*w**5 + w**3 + 1/2*w + 1/10 + 1/2*w**4 + w**p = 0. Calculate w.
-1
Let l(o) = 6*o + 268. Let g be l(-44). Let w(h) be the second derivative of -2/21*h**3 + 0 - 9*h - 1/7*h**2 - 1/42*h**g. Factor w(b).
-2*(b + 1)**2/7
Suppose 2*b = 4 - 0. Let g be (-9)/(-24) - 5/40. Find w such that 1/4 + g*w**b - 1/2*w = 0.
1
Suppose 1470 + 7842 = 8*o. Solve 39*y**2 - 45*y**3 + o*y - 1176*y - y**5 + 21*y**4 - 2*y**5 = 0.
0, 1, 4
Let h = -592/15 - -602/15. Determine i, given that 2/3*i**2 - 4/3*i + 0 - h*i**4 - 2/3*i**5 + 2*i**3 = 0.
-2, -1, 0, 1
What is s in 275/3 + 5/3*s**2 - 280/3*s = 0?
1, 55
Let u = 134 + -1069/8. Factor u*y**2 + 3/8 + 3/4*y.
3*(y + 1)**2/8
Let v(y) be the second derivative of y**5/60 - 11*y**4/36 - 2*y**3/3 - 18*y + 3. Suppose v(z) = 0. What is z?
-1, 0, 12
Let g(o) be the first derivative of -o**5/15 - 4*o**4 - 96*o**3 + 23*o**2/2 - 26. Let l(b) be the second derivative of g(b). Factor l(z).
-4*(z + 12)**2
Let z(k) be the third derivative of -k**8/280 + 113*k**7/525 - 71*k**6/300 - 113*k**5/150 + 37*k**4/30 - k**2 + 63*k. Let z(f) = 0. Calculate f.
-1, 0, 2/3, 1, 37
Let f(y) be the first derivative of -5*y**6/6 + 5*y**5 + 135*y**4/2 + 620*y**3/3 + 220*y**2 - 198. Factor f(g).
-5*g*(g - 11)*(g + 2)**3
Factor 2/3 - 5/9*m + 5/9*m**3 + 1/9*m**4 - 7/9*m**2.
(m - 1)**2*(m + 1)*(m + 6)/9
Factor -3*q**3 + 0 + 5/3*q**4 - 1/3*q**5 + 7/3*q**2 - 2/3*q.
-q*(q - 2)*(q - 1)**3/3
Let y(d) be the third derivative of d**6/120 + d**5/3 + 37*d**4/24 + 3*d**3 + 129*d**2 - 2*d. Let y(q) = 0. Calculate q.
-18, -1
Let y(o) be the first derivative of -3*o**5/100 + o**4/10 - 14*o - 7. Let a(i) be the first derivative of y(i). Factor a(m).
-3*m**2*(m - 2)/5
Let d(w) be the third derivative of w**7/21 + w**6/8 - 7*w**5/12 - 5*w**4/2 - 10*w**3/3 + 4*w**2 + 4*w. Let d(h) = 0. Calculate h.
-2, -1, -1/2, 2
Let h be 3 + -2*1 + 2. Let a = -91 + 85. Let v(s) = s**2 - s + 1. Let y(f) = f**2 + 1. Let n(i) = a*v(i) + h*y(i). Factor n(t).
-3*(t - 1)**2
Let q(z) be the third derivative of z**7/735 - z**6/105 - z**5/42 + 202*z**2. Determine b, given that q(b) = 0.
-1, 0, 5
Let w(m) = 66*m**4 - 594*m**3 + 1127*m**2 + 1106*m + 225. Let q(i) = -67*i**4 + 595*i**3 - 1126*i**2 - 1104*i - 225. Let v(y) = -2*q(y) - 3*w(y). Factor v(k).
-(k - 5)**2*(8*k + 3)**2
Let k(u) be the second derivative of u**4/54 - 10*u**3/9 + 25*u**2 - 70*u. Factor k(h).
2*(h - 15)**2/9
Let n be (-7)/(-28)*(-12208)/(-126). Find b, given that n*b**2 + 8*b**4 + 62/9*b + 2/3 + 94/3*b**3 = 0.
-3, -1/3, -1/4
Suppose 0 = -239*x + 219*x. Let j(y) be the first derivative of 1/15*y**5 + 0*y**2 - 9 + x*y + 4/9*y**3 - 1/3*y**4. Find f such that j(f) = 0.
0, 2
Let h = -235 - -237. Factor 12/7*c - 18/7 - 2/7*c**h.
-2*(c - 3)**2/7
Let d be (-46)/(-208) + (6 - 760/130). Let -1/8*q**4 + d*q**3 + 0 + 1/8*q**2 - 3/8*q = 0. What is q?
-1, 0, 1, 3
Let p be (-24)/(-45) - 1/6*-4. Suppose 0 = -2*j + 2*m + 6, -5*j = -j + 2*m - 6. Factor -3*z - p - 12/5*z**j - 3/5*z**3.
-3*(z + 1)**2*(z + 2)/5
Factor 0 - 4/7*v + 2/7*v**4 - 2/7*v**2 + 4/7*v**3.
2*v*(v - 1)*(v + 1)*(v + 2)/7
Let h(c) = 3*c**2 - 40*c - 24. Let t be h(14). Let r be (-72)/(-16)*t/24. Factor -27/4*j + 9*j**2 + r + 60*j**3 - 144*j**4.
-3*(3*j + 1)*(4*j - 1)**3/4
Let u = -99 + 113. Let z(k) = -k + 16. Let r be z(u). Find o, given that -1/2*o**4 - 1/2*o**3 + 3/2*o**r - 1 + 1/2*o = 0.
-2, -1, 1
Suppose -16*a + 32 = -8*a. Let 0*t**2 - 2/5*t**5 + 4/5*t**3 + 0*t**a - 2/5*t + 0 = 0. What is t?
-1, 0, 1
Let f(b) = b**3 + 9*b**2 - 11*b + 1. Let r be f(-10). Suppose r*c - 14 = 9*c. Solve 4 + 3*y**2 - c + 0*y**2 = 0.
-1, 1
Let j(s) = s**3 - s**2 - 1. Let k(n) = 58*n**2 - 3 + 4*n**3 - 117*n**2 + 56*n**2. Let x(p) = -3*j(p) + k(p). Let x(l) = 0. Calculate l.
0
Solve 28 + 21/2*u**3 - 181*u + 575/2*u**2 = 0.
-28, 2/7, 1/3
Let v(q) = 1. Let r = 0 + -6. Let j(k) = -5*k**2 + 10*k - 11. Let f(a) = r*v(a) - j(a). Solve f(s) = 0 for s.
1
Let d(a) be the third derivative of -a**7/1575 - 17*a**6/900 + 37*a**5/450 - 19*a**4/180 + a**2 + 26*a. Factor d(j).
-2*j*(j - 1)**2*(j + 19)/15
Let d(v) be the first derivative of 1/15*v**6 - 7/5*v**2 + 6/5*v + 5 + 4/15*v**3 - 2/5*v**5 + 3/5*v**4. Factor d(y).
2*(y - 3)*(y - 1)**3*(y + 1)/5
Let v be 3/(-2) + 5*(-6)/(-20). Let i(t) be the second derivative of v*t**2 + 1/4*t**4 + 3/10*t**5 + 1/10*t**6 + 0*t**3 + 0 + t. Factor i(j).
3*j**2*(j + 1)**2
Let j(v) = -v**2 + 6*v + 2. Let y be j(0). Let w be (1/y)/(22/16). Let 0 + 6/11*s**2 + w*s = 0. Calculate s.
-2/3, 0
Let b(a) = -5*a + 5. Let k be b(-8). Suppose -2*d = 3 + 7, 0 = 5*g + 3*d - k. Find r, given that 3*r + 6*r**5 + 16*r**4 + g*r**3 + 2*r - 7*r = 0.
-1, 0, 1/3
Let l(t) be the second derivative of 5/2*t**2 + 10/3*t**3 - 5/12*t**4 + 20 - t**5 - t. Factor l(u).
-5*(u - 1)*(u + 1)*(4*u + 1)
Suppose 7*k + 4*c = 2*k - 22, 2*k = c - 1. Let g be (8/(-36))/(k/18). Factor -1 + 8*l + 5*l + 4 + 4*l**g.
(l + 3)*(4*l + 1)
Let z(l) be the third derivative of l**6/160 + l**5/80 + 17*l**2 - 12*l. Factor z(j).
3*j**2*(j + 1)/4
Let v(w) = -w**2 + 61*w - 376. Let r be v(54). Find o, given that -2/3*o**4 + r - 8/3*o**3 - 4/3*o**2 + 8/3*o = 0.
-3, -1