s + 510. Determine u, given that b(u) = 0.
-357
Let r(c) be the second derivative of c**6/3 + 9*c**5/5 - 299*c**4/30 - 228*c**3/5 + 1444*c**2/5 - 2258*c. Find u, given that r(u) = 0.
-19/5, 2
Let o be 9/(1*4/(-1 - 3)). Let f = -4 - o. Let 38*v**3 - 12*v**3 - 11*v**3 + 26*v**4 - 22*v**2 - v**3 - 22*v - 4 + 8*v**f = 0. What is v?
-2, -1, -1/4, 1
Suppose -7*m + 3*m + 304 = -3*y, 0 = 3*y + 12. Factor 51*o - 39*o + 23 + 5*o**2 + 57 + m*o.
5*(o + 1)*(o + 16)
Let o be 59/(1298/33)*2. Find y such that 4/17*y**2 + 2/17*y**o - 30/17*y - 72/17 = 0.
-3, 4
Let w(j) = 13*j**3 - 64*j**2 - 1147*j - 492. Let a(k) = 9*k**3 - 43*k**2 - 769*k - 327. Let m(h) = -7*a(h) + 5*w(h). What is l in m(l) = 0?
-9, -1/2, 19
Let h(r) be the first derivative of -r**5/5 - 129*r**4 + r**3 + 775*r**2 + 1032*r + 7661. Factor h(l).
-(l - 2)*(l + 1)**2*(l + 516)
Let l(m) be the third derivative of -27 + 3/25*m**5 + 2/525*m**7 + 1/30*m**6 + 0*m + m**2 + 7/30*m**4 + 4/15*m**3. Find w such that l(w) = 0.
-2, -1
Let g(w) be the second derivative of -w**5/20 + 31*w**4/12 - 235*w**3/6 + 525*w**2/2 + 909*w. Factor g(k).
-(k - 21)*(k - 5)**2
Let d(z) be the first derivative of 0*z**3 + 5/6*z**6 + 0*z - 15 - 70*z**5 + 6125/4*z**4 + 0*z**2. Factor d(n).
5*n**3*(n - 35)**2
Suppose -x + 122 = 5*a, -5*x - 3*a - 24 + 524 = 0. Let q = -189/2 + x. Suppose -9/2*y**3 + 0 + y + 7/2*y**5 - 5/2*y**2 + q*y**4 = 0. What is y?
-1, 0, 2/7, 1
Let q(f) = -50*f**3 + 39*f**2 - f - 41. Let s(a) = 28*a**3 - 20*a**2 + 20. Let z(h) = -4*q(h) - 7*s(h). Solve z(r) = 0 for r.
-1, 2, 3
Factor -285*l**3 + 2*l**4 - 84*l + 0*l**3 + 2*l**4 - 5*l**4 + 8*l**4 - 376*l**2.
l*(l - 42)*(l + 1)*(7*l + 2)
Solve 1/10*o**3 - 129/5*o**2 + 153/2*o + 0 = 0.
0, 3, 255
Let x(l) be the third derivative of l**7/2520 - l**5/120 + 53*l**4/24 - 11*l**2 + 5*l. Let s(h) be the second derivative of x(h). Factor s(k).
(k - 1)*(k + 1)
Factor -1/8*g**2 + 0 - 7*g.
-g*(g + 56)/8
Determine k so that 1/9*k**2 + 0 - 332/9*k = 0.
0, 332
Suppose 20 = 3*u + 14. Factor -376*p**3 - 100*p**5 + 733*p**2 - 57*p**4 - 925*p**u - 36*p - 263*p**4.
-4*p*(p + 1)**2*(5*p + 3)**2
Suppose -27 - 30*i**2 + 0*i + 91*i + 182*i = 0. What is i?
1/10, 9
Let p(k) be the first derivative of k**4/28 + 3*k**3/7 + 12*k**2/7 + 80*k - 6. Let h(b) be the first derivative of p(b). Factor h(c).
3*(c + 2)*(c + 4)/7
Let q = -39560 + 199232/5. Let z = 287 - q. Factor -z*c**2 + 0*c**3 + 0 + 2/5*c + 1/5*c**4.
c*(c - 1)**2*(c + 2)/5
Let j(x) = -3*x**2 + 91*x - 450. Let b be j(5). Let m be -6*b/60 - 4. Factor 0 + 0*a + 2/9*a**4 + 2/9*a**m + 0*a**2.
2*a**3*(a + 1)/9
Let i(s) be the second derivative of -s**5/100 + s**4/10 - 724*s + 1. Factor i(c).
-c**2*(c - 6)/5
Solve -371*b**4 - 216 + 21*b**3 - 84*b + 19*b**2 + 368*b**4 + 47*b**2 = 0 for b.
-2, 2, 9
Suppose 329*h - 102 - 502 - 328 = 55. Solve -1/5*u**5 + h*u**3 + 0*u + 0*u**2 + 0 - 2/5*u**4 = 0.
-5, 0, 3
Let u = 658 + -638. Let p be ((-1092)/270)/(-7) - (-4)/u. Factor -20/9*j + 8/9 + 1/9*j**4 - p*j**3 + 2*j**2.
(j - 2)**3*(j - 1)/9
Let m(q) = -7*q**3 - q. Let s(z) = 29*z**3 - 182*z**2 - 1399*z - 448. Let c(i) = -5*m(i) - s(i). Solve c(w) = 0 for w.
-16, -14, -1/3
Suppose -230/7*o + 2/7*o**3 + 72/7*o**2 + 156/7 = 0. Calculate o.
-39, 1, 2
Solve -3*n + 1/2*n**4 + 4*n**2 - 9/2 + 3*n**3 = 0 for n.
-3, -1, 1
Let l be ((-57)/(-1330)*-10)/(1/(-7)). Let d(f) be the second derivative of -5/4*f**4 + 0 + l*f - 65/6*f**3 + 25*f**2. Factor d(g).
-5*(g + 5)*(3*g - 2)
Let l(t) = -322*t**3 + 1720*t**2 + 143*t - 14. Let r(y) = 485*y**3 - 2580*y**2 - 215*y + 20. Let h(o) = 10*l(o) + 7*r(o). Factor h(c).
5*c*(c - 5)*(35*c + 3)
Factor -146*k - 8*k**3 + 4*k**4 - 64*k + 210*k + 4*k**5.
4*k**3*(k - 1)*(k + 2)
Let j(c) be the third derivative of 0*c + 44*c**2 + 0*c**4 - 1/600*c**6 + 0*c**3 + 1/300*c**5 + 0. What is t in j(t) = 0?
0, 1
Suppose -b - 1188*w = -1193*w + 23, 2*b - 24 = -4*w. Let k be 0/(-11)*2/(-2). Factor -4/3*o + k*o**3 + 0 - b*o**2 + 2/3*o**4.
2*o*(o - 2)*(o + 1)**2/3
Solve 5/3*h**3 - 305/3*h + 40/3*h**2 + 260/3 = 0.
-13, 1, 4
Let c(r) = r**3 - 3*r**2 - 10*r. Let h be (-124)/(-24) - (-1)/(-6). Let g be c(h). Solve g*j**3 - 1/3 + 0*j - 1/3*j**4 + 2/3*j**2 = 0 for j.
-1, 1
Factor 62*u - u**2 - 567 - 75*u + 49*u - u**2 + 5*u**2.
3*(u - 9)*(u + 21)
Let b = 1/153130 + 1607863/306260. Factor 0 - 3/4*w**4 + b*w**3 - 21/2*w**2 + 6*w.
-3*w*(w - 4)*(w - 2)*(w - 1)/4
Let 1225*n**5 + 40*n**2 + 140*n**3 + 169*n**4 - 59*n**4 - 605*n**5 - 595*n**5 = 0. Calculate n.
-2, -2/5, 0
Let k = -272 - -277. Suppose -16*n - 2*l = -20*n + 32, -19 = -n - k*l. Factor 15/4*y**4 - 3/2*y + 27/4*y**2 + 0 - n*y**3.
3*y*(y - 1)**2*(5*y - 2)/4
Let r = 887/198 - -2/99. Suppose 107*a = 111*a - 12. What is x in -3/2*x**5 - 3/2*x**2 - 9/2*x**4 - r*x**a + 0*x + 0 = 0?
-1, 0
Suppose 62 = 272*j - 268*j + 5*q, -4*j - 4*q + 52 = 0. Solve 8/5*f**j - 2/5*f**4 + 0*f - 2/5*f**5 + 0 + 8/5*f**2 = 0.
-2, -1, 0, 2
Factor -14/11*t - 2/11*t**2 + 16/11.
-2*(t - 1)*(t + 8)/11
Let t(r) be the second derivative of 3*r**5/100 + 16*r**4/5 + 25*r**3/2 + 93*r**2/5 - 134*r - 13. Suppose t(s) = 0. Calculate s.
-62, -1
Let i(w) = -63*w**2 - 517*w - 102. Let z be i(-8). Suppose -30*c - 9/2*c**z - 15/2*c**4 + 24*c**3 + 6 = 0. Calculate c.
-1, 1/5, 2
Let j(z) = 5*z**2 + 36*z - 33. Let d be j(-8). Let m be 6 + 11 + -17 - (d - -1). Factor 1/3*i**2 + 1/3*i**3 - 2/3*i + m.
i*(i - 1)*(i + 2)/3
Let c(a) be the second derivative of -a**7/168 + a**6/20 - a**5/80 - a**4/2 + 5*a**3/6 + a + 504. Determine n so that c(n) = 0.
-2, 0, 1, 2, 5
Let b(r) = -154*r - 10. Let v be b(-4). Let g = v + -606. Factor g - 12/5*k**2 - 12/5*k + 3/5*k**3 + 3/5*k**4.
3*k*(k - 2)*(k + 1)*(k + 2)/5
Let d be -16*((-1868)/(-7472))/(2/(8/(-10))). Find z such that 0 + 2/5*z**4 - 16/5*z + 4/5*z**3 - d*z**2 = 0.
-2, 0, 2
Let f(j) be the first derivative of -8*j**5/85 + 131*j**4/34 + 206*j**3/17 + 209*j**2/17 + 70*j/17 - 7304. Find o, given that f(o) = 0.
-1, -1/4, 35
Let u(f) = -20*f**3 + 114*f**2 + 521*f - 103. Let q(w) = 10*w**3 - 58*w**2 - 260*w + 52. Let l(r) = 5*q(r) + 2*u(r). Find d such that l(d) = 0.
-3, 1/5, 9
Let a(l) be the third derivative of -l**7/1050 + l**6/600 + 13*l**5/300 - l**4/120 - 2*l**3/5 + 13187*l**2. Determine j so that a(j) = 0.
-3, -1, 1, 4
Let z(a) be the first derivative of 0*a + 0*a**3 - 39 + a**5 + 15/4*a**4 - 10*a**2. Factor z(d).
5*d*(d - 1)*(d + 2)**2
Factor -120 - 232*a + 9*a**4 - 500*a**2 - 11*a**4 - 174*a - 264*a**3 - 32*a**4 - 18*a**4 - 2*a**5.
-2*(a + 1)**3*(a + 3)*(a + 20)
Let m(p) be the second derivative of -p**4/6 - 69*p**3/11 + 38*p**2/11 + 2*p - 525. Factor m(x).
-2*(x + 19)*(11*x - 2)/11
Let o be (-27)/30*(-690)/828. Let h = -1 + 1. Suppose -3/2*y - 3/4*y**2 + h + o*y**3 = 0. Calculate y.
-1, 0, 2
Let f(u) be the second derivative of -13*u**5/180 - u**4/8 + 2*u**3/9 + 41*u**2/2 - 6*u + 7. Let x(g) be the first derivative of f(g). Factor x(h).
-(h + 1)*(13*h - 4)/3
Suppose 30*a = 139 - 49. Let d(n) be the first derivative of -1 - 1/16*n**4 + 0*n - 1/8*n**2 - 1/6*n**a. Find b, given that d(b) = 0.
-1, 0
Factor -90601/3 + 602/3*q - 1/3*q**2.
-(q - 301)**2/3
Let b(z) be the third derivative of -z**6/36 + 47*z**5/450 - 19*z**4/180 - z**3/15 + 317*z**2 - 3*z. Factor b(k).
-2*(k - 1)**2*(25*k + 3)/15
Let s be 10 + (-254 - -245)/(-3 - 141/(-36)). Solve -1058/11*v + 92/11*v**2 - s*v**3 + 0 = 0.
0, 23
Let y(x) be the second derivative of x**4/36 + 20*x**3/3 + 1199*x**2/6 - 4282*x. Find u such that y(u) = 0.
-109, -11
Find d, given that 52/5*d + 336/5 + 2/5*d**2 = 0.
-14, -12
Let u(i) be the first derivative of -109*i**6/48 + 87*i**5/8 - 107*i**4/16 - 73*i**3/4 + 323*i**2/16 + 3*i/8 - 4270. Suppose u(w) = 0. Calculate w.
-1, -1/109, 1, 3
Let j(z) = -4*z**4 - 42*z**3 - 31*z**2 + 31*z + 35. Let f(g) = g**4 + 11*g**3 + 8*g**2 - 8*g - 9. Let k(x) = 11*f(x) + 3*j(x). Suppose k(w) = 0. Calculate w.
-3, -2, -1, 1
Let u = 100/31 + 79/62. Let l(o) be the third derivative of 0*o - 1/20*o**5 - 3*o**2 + 0 - u*o**3 + 3/4*o**4. Factor l(r).
-3*(r - 3)**2
Let z(j) be the third derivative of j**6/300 - 11*j**5/150 + 8*j**4/15 - 28*j**3/15 + 324*j**2. What is m in z(m) = 0?
2, 7
Let p = -241/14 - -606/35. Let h(l) be the second derivative of 3/20*l**5 - 1/4*l**4 + 0 + l + p*l**6 + 0*l**2 + 0*l**3 - 1/14*l**7. Solve h(n) = 0 for n.
-