5 - 2116. Let f = i + 964. Suppose 6/7*b**2 + 0 + 2/7*b**f + 4/7*b = 0. Calculate b.
-2, -1, 0
Let g(a) be the second derivative of 19*a**4/42 + 5*a**3/21 - 24*a**2/7 - a - 533. Factor g(l).
2*(l - 1)*(19*l + 24)/7
Let h(z) be the second derivative of -1/5*z**5 + 5/12*z**3 - 1/6*z**2 + 33*z - 23/72*z**4 + 0 + 4/45*z**6. Solve h(x) = 0.
-1, 1/4, 2
Let i(j) = -j**3 + 85*j + j - 71 + 3*j**3 + 25 - 44 + 2*j**2. Let a(p) = p**3 + p**2 + 28*p - 30. Let r(s) = -8*a(s) + 3*i(s). Factor r(c).
-2*(c - 3)*(c - 1)*(c + 5)
Let d = -84056 + 84056. Factor -1/7 + 1/7*f**2 + d*f.
(f - 1)*(f + 1)/7
Let b(m) = 7*m**2 + 40*m + 28. Let s be b(-5). Suppose 4*t - 2*t - 12 = -4*u, -5*t - s*u = -16. Factor -2/13*z + 0 + 2/13*z**t.
2*z*(z - 1)/13
Let a be 69/161 + 2/13 + 200/728. Factor -2/7*d**2 + 4/7*d + a.
-2*(d - 3)*(d + 1)/7
Let r(t) = -2*t**3 - 126*t**2 - 1063*t - 156. Let c be r(-53). Suppose 4/11*d**2 + 2/11*d**c - 6/11*d + 0 = 0. What is d?
-3, 0, 1
Let a(o) be the third derivative of -19*o**7/70 - 553*o**6/40 - 29*o**5/10 + 2*o**2 + 815. What is v in a(v) = 0?
-29, -2/19, 0
Let p(n) be the first derivative of -5/3*n**2 + 1/15*n**5 + 5/6*n**4 - 25/3*n + 23 + 8/3*n**3. Solve p(z) = 0.
-5, -1, 1
Let c(i) be the third derivative of -57*i + 0 + 363/17*i**3 + 1/510*i**5 + 2*i**2 - 11/34*i**4. Determine g, given that c(g) = 0.
33
Suppose 5*f = 97 - 77. Suppose -5*j = f - 14. Factor -9 + 4*g**2 - 2*g**j + 12 - 5*g**2.
-3*(g - 1)*(g + 1)
Let z(o) be the second derivative of o**6/39 + 74*o**5/65 + 661*o**4/39 + 84*o**3 + 117*o**2 - 12*o + 102. Determine t so that z(t) = 0.
-13, -3, -3/5
Let y be ((-70)/(-42))/((-2)/(-6)). Find j, given that -2*j**2 - 14*j + 49*j - y*j - 17 - 11 = 0.
1, 14
Let q = 2447 + -12283/5. Let g = -81/10 - q. Factor 1/4*w**3 + g*w**2 + 1 + 9/4*w.
(w + 1)**2*(w + 4)/4
Let v be (-28 + 25)/((-3)/26). What is a in 78*a - v*a**2 - 26 + 132*a**3 - 28 - 130*a**3 = 0?
1, 3, 9
Let r(p) be the first derivative of p**6/3 - 14*p**5/5 + 3*p**4 + 64*p**3/3 - 32*p**2 + 260. Factor r(b).
2*b*(b - 4)**2*(b - 1)*(b + 2)
Let b = 596 + -668. Let c be -1 + 12/2 - (-171)/b. Factor 3/2*x**2 + 1/8*x**3 + c*x + 5/4.
(x + 1)**2*(x + 10)/8
Find w, given that -15*w**3 + 0*w**5 + 180*w**2 + 3*w**5 - 77*w**3 - 192*w - 532*w**2 + 8*w**4 = 0.
-4, -2/3, 0, 6
Let f(d) be the first derivative of -d**6/27 - 4*d**5/15 + 7*d**4/6 + 436*d**3/27 + 160*d**2/3 + 64*d - 14059. Determine z so that f(z) = 0.
-4, -3, -1, 6
Let w(b) be the second derivative of -b**5/5 - 16*b**4/3 - 10*b**3 - 725*b - 1. Factor w(i).
-4*i*(i + 1)*(i + 15)
Let n(p) = -p - 3. Let x(i) = -2*i - 13. Let t(g) = -9*n(g) + 2*x(g). Let w be t(1). Determine d so that -4*d**2 + d**2 + w*d**2 + 3*d = 0.
-1, 0
Let d(m) be the second derivative of -m**7/14 + 31*m**6/10 - 837*m**5/20 + 785*m**4/4 + 350*m**3 - 6750*m**2 + 2635*m. Determine q so that d(q) = 0.
-2, 5, 18
Let s be ((-212)/36 + 7)*(215 - 2). Let n = s - 236. Find c such that 4/3*c + 2/3 + n*c**2 = 0.
-1
Let l(c) be the third derivative of -c**5/20 - 37*c**4/8 + 60*c**3 + 708*c**2. Factor l(u).
-3*(u - 3)*(u + 40)
Let i(j) be the first derivative of -9/5*j**4 + 33/10*j**2 + 12/25*j**5 + 1/10*j**6 + 194 - 18/5*j + 2/5*j**3. Factor i(t).
3*(t - 1)**3*(t + 1)*(t + 6)/5
Suppose i - 5*i = -3*t + 12, 0 = -i. Suppose 4*m**t + 70*m**2 - 16*m**3 - 109*m**2 + 59*m**2 - 8*m = 0. What is m?
0, 1, 2
Let v(u) be the third derivative of -11*u**8/336 - 9*u**7/70 + 39*u**6/40 - 109*u**5/60 + 5*u**4/4 - 2*u**2 + 375. Determine g, given that v(g) = 0.
-5, 0, 6/11, 1
Let x(z) be the second derivative of -z**5/25 + 62*z**4/15 - 2146*z**3/15 + 6728*z**2/5 + 3356*z. Factor x(l).
-4*(l - 29)**2*(l - 4)/5
Let f(z) be the first derivative of -2*z**3/9 - 50*z**2/3 - 64*z + 3067. Solve f(m) = 0.
-48, -2
Let d(b) be the third derivative of -b**6/1800 + 11*b**5/150 - 121*b**4/30 - 27*b**3/2 - 65*b**2. Let y(j) be the first derivative of d(j). Factor y(m).
-(m - 22)**2/5
Factor -2*i + 49 - 78 + 4*i**2 - 7*i**2 + 30.
-(i + 1)*(3*i - 1)
Let q(l) be the second derivative of -l**4/60 + 29*l**3/10 - 17*l**2 + l - 349. Let q(c) = 0. What is c?
2, 85
Suppose 6*v - 4*v - 28 = 0. Suppose -54*a**2 + 16*a**2 + 19*a**2 + 56 - v*a + 66*a + 15*a**2 = 0. Calculate a.
-1, 14
Factor 16/11*a**2 + 168/11*a - 2/11*a**3 + 0.
-2*a*(a - 14)*(a + 6)/11
Suppose -3*s - 5*q = -3*q, -3*s = q - 3. Let x be (-33)/(-77)*7 - (-12)/(-10). Let 3/5*o**s + x*o + 6/5 = 0. Calculate o.
-2, -1
Let w = 10489 - 3943861/376. Let y = w - -367/1128. Solve 0 + 0*v + y*v**3 + 1/3*v**5 + 2/3*v**4 + 0*v**2 = 0 for v.
-1, 0
Determine h so that 36756 + 5*h**2 - 799534 - 3672*h - 79946 - 9*h**2 = 0.
-459
Let k be (33321/(-1595) + 21)*33. Solve 128/5*u + k*u**3 + 94/5*u**2 + 24/5 = 0 for u.
-3, -2, -2/9
Factor -7*v**2 - 36*v**3 + 5*v**5 - 25*v**2 + 14*v**4 + 17*v**4 - 43*v**4 - 6*v**5.
-v**2*(v + 2)**2*(v + 8)
Factor -459684/5 + 1352/5*o**2 - 45426*o - 2/5*o**3.
-2*(o - 339)**2*(o + 2)/5
Factor 190 - 469*t + t**4 + 27*t**3 - 105471*t**2 + 118*t + 105604*t**2.
(t - 1)**2*(t + 10)*(t + 19)
Let w be (-75)/775*4708/(-24). Let r = w - 108/31. Solve 63/2*q**3 + 2 - 14*q + r*q**2 = 0.
-1, 2/9, 2/7
Suppose -5*y - 5*j + 45 = 0, -21 = -4*y - 2*j + j. Let g(p) be the first derivative of -11 - 3*p**2 + 10/3*p**3 - y*p. What is n in g(n) = 0?
-2/5, 1
Let w(p) be the second derivative of p**7/630 + p**6/5 - p**4/6 - 37*p**3/6 + 272*p. Let g(a) be the third derivative of w(a). Let g(h) = 0. Calculate h.
-36, 0
Factor -13/3*t**2 - t**3 + 0 + 5*t + 1/3*t**4.
t*(t - 5)*(t - 1)*(t + 3)/3
Let u(m) be the second derivative of 0*m**2 + 5*m**3 + 44*m + 0 - 1/4*m**5 + 5/12*m**4. Solve u(c) = 0 for c.
-2, 0, 3
Let y(b) be the third derivative of -b**7/2520 + b**6/180 + b**5/10 - 23*b**4/12 + b**3/6 + 109*b**2. Let v(r) be the second derivative of y(r). Factor v(x).
-(x - 6)*(x + 2)
Let n = 33176 - 33174. Determine f so that 264/5*f + 48/5*f**n + 363/5 = 0.
-11/4
Let g(k) = 2*k**3 - 15*k**2 + 25*k - 8. Let p be g(6). Solve 13 - p - 5*r**4 + 15*r**3 + 31 - 5*r**2 - 15*r = 0.
-1, 1, 2
Suppose 0 = -4*v + 16, 0 = -5*k + 3*v - 8*v + 16020. Let -2*q**4 - 6*q**3 + 6*q + 2*q**2 + 3200 - k = 0. What is q?
-3, -1, 0, 1
Let l(k) = -2*k**4 + 1344*k**3 - 4041*k**2 + 4052*k - 1347. Let g(y) = -y**4 - y**3 + 2*y**2 + y + 1. Let h(r) = -12*g(r) + 4*l(r). What is u in h(u) = 0?
-1350, 1
Let t be -3 + -1 - 206517/(-146). Let j = t + -1405. Suppose -5/2*s**2 - j*s**3 + 0 - 2*s**4 + s = 0. Calculate s.
-2, -1, 0, 1/4
Suppose -104*w + 331*w = 393 - 84 + 145. Solve 2/13*t**5 - 12/13*t**4 + 0 + 8/13*t + w*t**3 - 24/13*t**2 = 0.
0, 1, 2
Let d(n) be the third derivative of -n**5/570 + 13*n**4/57 - 17*n**3/19 - 3221*n**2. Factor d(z).
-2*(z - 51)*(z - 1)/19
Factor 10/3*k**2 + 124/9*k + 2/9*k**3 + 32/3.
2*(k + 1)*(k + 6)*(k + 8)/9
Let k(b) be the third derivative of b**7/168 - 7*b**6/72 + 7*b**5/12 - 5*b**4/3 + 4*b**3 + 44*b**2. Let w(i) be the first derivative of k(i). Factor w(v).
5*(v - 4)*(v - 2)*(v - 1)
Let j(h) be the second derivative of h**7/14 + 89*h**6/5 + 23223*h**5/20 - 4005*h**4 + 4050*h**3 + 146*h. Find f, given that j(f) = 0.
-90, 0, 1
Let r(k) be the second derivative of -1/130*k**5 - 7/39*k**3 + 1 + 5/78*k**4 + 30*k + 3/13*k**2. Factor r(n).
-2*(n - 3)*(n - 1)**2/13
Solve -1/2*m**5 - 40 - 8*m**2 + 9/2*m**4 - 10*m**3 + 48*m = 0.
-2, 2, 5
Let r(y) be the third derivative of -y**6/300 + 8*y**5/75 - 77*y**4/60 + 98*y**3/15 + 355*y**2. Factor r(n).
-2*(n - 7)**2*(n - 2)/5
Let k(a) be the second derivative of -a**6/105 + 3*a**5/35 + 5*a**4/14 + 8*a**3/21 + 2290*a. Solve k(b) = 0 for b.
-1, 0, 8
Let i(s) be the third derivative of 2/9*s**4 + 6*s**2 - 4/3*s**3 - 1/90*s**5 + 0*s + 0. What is q in i(q) = 0?
2, 6
Let a(v) = -5*v**2 - 29*v - 14. Let q(z) = z**2 + 6*z + 3. Let g(n) = -2*a(n) - 11*q(n). Let d be g(-6). Solve 12 + 5*c**2 - 9*c**2 + d*c - 15*c = 0.
-3, 1
Let n(b) be the second derivative of -2197*b**2 + 0 + 19/5*b**5 + 1/15*b**6 + 78*b**4 + 1690/3*b**3 - 131*b. Factor n(a).
2*(a - 1)*(a + 13)**3
Determine v, given that -308/9*v**3 - 128/3 - 2*v**5 + 70/3*v**4 - 1576/9*v**2 - 1424/9*v = 0.
-1, -2/3, 6, 8
Let g(f) = -16*f - 30. Let j be g(-2). Determine h so that 5*h**j - 3*h**4 + 13*h**2 - 15*h**3 - 38*h**2 + h**4 + 7*h**4 = 0.
-1, 0, 4
Let c = -714679/40 + 17867. Let b(o) b