 2)
Let d(m) be the second derivative of -m**7/126 + 557*m**6/90 - 3892*m**5/3 + 19321*m**4/9 + 5735*m + 2. What is g in d(g) = 0?
0, 1, 278
Suppose 84/5*u**4 - 349/5*u**3 - 352/5 + 348/5*u + 268/5*u**2 + 1/5*u**5 = 0. Calculate u.
-88, -1, 1, 2
Let o(h) be the third derivative of -h**7/350 + 7*h**6/10 + 266*h**2 - 1. Find d such that o(d) = 0.
0, 140
Let v(p) be the second derivative of -15/4*p**4 + 1/2*p**6 + 1 + 0*p**2 + 38*p + 0*p**3 - 13/2*p**5. Find l, given that v(l) = 0.
-1/3, 0, 9
Let z(x) = -x**3 - 13*x**2 - 13*x - 5. Let t be z(-12). What is p in t*p + 15*p - 5*p**2 - 5*p + 13*p = 0?
0, 6
Let l(y) = -y**2 - 20*y - 21. Let b be l(-18). Let m be 44/6 + -12*b/30. Factor 4/3*v**4 - 4/3*v**2 - 20/3*v**3 + m*v**5 + 32/3*v - 16/3.
4*(v - 1)**3*(v + 2)**2/3
Suppose 0 = 155*q + 84 - 394. Let b(o) be the first derivative of 16/3*o**3 + 0*o**q + 0*o**4 - 4/5*o**5 - 25 + 0*o. Let b(f) = 0. Calculate f.
-2, 0, 2
Let n(f) be the second derivative of -f**6/360 + f**5/15 - 2*f**4/3 - 25*f**3/3 + 21*f. Let v(a) be the second derivative of n(a). Let v(x) = 0. What is x?
4
Let j = -142 - -144. Suppose -a - 9 = -j*z, 2*z - 3*z = -5*a - 9. Determine v so that -4*v - 551*v**z + v**2 - 7*v**2 + 553*v**4 = 0.
-1, 0, 2
Let t be (-1 - 1)*(-9)/54. Suppose z - 4*q - 104 + 118 = 0, 4*z + 4*q = 24. Factor -t - 4/3*y**z - 5/3*y.
-(y + 1)*(4*y + 1)/3
Let d = 62749/9 - 6939. Let b = 79047/33877 + -2/101631. Solve 46/3*l**3 - b*l**4 - 9 + 1/9*l**5 + 29*l - d*l**2 = 0 for l.
1, 9
Let c(f) = f**3 - f**2 - f - 2. Let d(i) = 7*i**3 - 71*i**2 + 237*i - 6. Let b(o) = 3*c(o) - d(o). Factor b(n).
-4*n*(n - 12)*(n - 5)
Suppose 69 = -6*p + 43*p - 42. Let 0 - 4/3*w - 8/3*w**p - 6*w**2 = 0. Calculate w.
-2, -1/4, 0
Let g(y) be the third derivative of y**5/80 + 25*y**4/8 + 49*y**3/2 + y**2 + 349. Let g(o) = 0. What is o?
-98, -2
Let z(b) be the second derivative of 0*b**2 + 5/12*b**4 - 7/3*b**3 + 7*b + 0 - 1/72*b**6 + 1/24*b**5. Let n(p) be the second derivative of z(p). Factor n(m).
-5*(m - 2)*(m + 1)
Let b = 90207729 + -183121722701/2030. Let t = 11/406 - b. Factor 18/5*l + t + 1/5*l**2.
(l + 9)**2/5
Find b, given that -3/8*b**2 - 177*b - 705/2 = 0.
-470, -2
Let n(h) be the second derivative of 3*h**5/40 + h**4/8 - 4*h**3 + 15*h**2 - 1182*h. Factor n(y).
3*(y - 2)**2*(y + 5)/2
Suppose 16*r = 6*r + 40. Let i be (-6)/r*1/(6/(-136)). Suppose -25*p**2 + 66*p**3 + 40*p - 27*p**3 - i*p**3 - 20 = 0. What is p?
1, 2
Let n(d) be the third derivative of d**7/280 - 437*d**6/40 + 381063*d**5/40 + 382375*d**4/8 + 765625*d**3/8 - 8895*d**2. Determine v so that n(v) = 0.
-1, 875
Let v(j) = -4*j**3 - 92*j**2 + 15*j. Let k(c) = 3*c**3 + 91*c**2 - 12*c. Let f(h) = 5*k(h) + 4*v(h). Factor f(r).
-r**2*(r - 87)
Let y(c) = 16 - 3*c + 0*c + 0*c. Let t be y(4). Factor -3*g**t + 5*g**4 - 4*g**4 + 4*g**4.
2*g**4
Factor 614/9*i - 2/9*i**2 - 68.
-2*(i - 306)*(i - 1)/9
Determine z so that -45/2*z - 42 - 3/4*z**2 = 0.
-28, -2
Let a = 5014 - 15038/3. Factor -256/3 - a*n**2 + 64/3*n.
-4*(n - 8)**2/3
Let p(r) be the third derivative of -r**8/336 - 9*r**7/280 - 3*r**6/32 + 5*r**5/48 + 23*r**4/32 - 3*r**3/4 + 4*r**2 + 184*r. What is w in p(w) = 0?
-3, -2, 1/4, 1
Let o(b) be the second derivative of -b**6/25 - 37*b**5/50 + 3*b**4/2 + 253*b**3/15 + 78*b**2/5 + 19*b. Suppose o(l) = 0. What is l?
-13, -2, -1/3, 3
Let o = -192/371 + 2854/4081. Determine h, given that o*h**4 - 6/11*h**2 - 12/11 - 6/11*h**3 + 2*h = 0.
-2, 1, 3
Let h be 15 - ((22 - (11 + 1)) + 2). Factor 0 - 16/3*y**2 - 2*y**h - 8/3*y.
-2*y*(y + 2)*(3*y + 2)/3
Let j be (-3 - (-55)/2) + (-545 - -533). Solve j - 1/2*s**2 - 12*s = 0.
-25, 1
Let q(s) = -7. Let n(u) = -u**2 - 15*u - 98. Let j(y) = n(y) - 6*q(y). Factor j(g).
-(g + 7)*(g + 8)
Let l = -119 + 24. Let v be (-1)/(-10)*-6*l. Find y such that 210*y**2 + 132*y + 20*y**3 + v*y**3 - 2*y**3 + 24 = 0.
-2, -2/5
Let v(m) be the first derivative of -2*m**5/5 - 6*m**4 - 76*m**3/3 - 12*m**2 + 126*m - 164. Factor v(y).
-2*(y - 1)*(y + 3)**2*(y + 7)
Let m(x) be the first derivative of 7*x**4/6 + 44*x**3/9 - 67*x**2/3 - 20*x/3 - 1493. Let m(n) = 0. What is n?
-5, -1/7, 2
Let a(x) be the second derivative of 1/84*x**7 + 77*x + 1/4*x**4 + 0*x**3 + 0*x**6 - 7/40*x**5 + 1 + 0*x**2. What is v in a(v) = 0?
-3, 0, 1, 2
Suppose 0*y - 1/7*y**5 + 0 - 80/7*y**3 - 23/7*y**4 - 76/7*y**2 = 0. Calculate y.
-19, -2, 0
Let i(n) be the second derivative of n**6/36 - 59*n**5/24 + 145*n**4/36 + n + 208. Factor i(p).
5*p**2*(p - 58)*(p - 1)/6
Let c(a) be the first derivative of a**7/42 - 3*a**5/10 + 2*a**4/3 - a**3/2 - 129*a + 117. Let q(b) be the first derivative of c(b). Let q(d) = 0. Calculate d.
-3, 0, 1
Let g(n) = n**4 - 2*n**3 + n**2 - 3. Let w(t) = 2*t**4 + 77*t**3 + 392*t**2 + 297*t - 15. Let x(a) = -5*g(a) + w(a). Solve x(u) = 0.
-3, -1, 0, 33
Let c = -283 - -315. Let b be c/(-50)*13/(104/(-20)). Factor -7/5*x + 2/5 + b*x**2 - 3/5*x**3.
-(x - 1)**2*(3*x - 2)/5
Let g(z) be the second derivative of -z**4/48 - 3*z**3/2 - 16*z**2 - 42*z + 7. Factor g(a).
-(a + 4)*(a + 32)/4
Solve 20/3*s**3 + 0*s - 40/3*s**2 + 5/6*s**5 + 0 + 35/6*s**4 = 0.
-4, 0, 1
Let f(q) = -q - 60. Let k(z) = z + 119. Let d(t) = 11*f(t) + 6*k(t). Let y be d(10). Factor -40/3*b**3 + 0 - 27*b**5 - 39*b**y + 0*b - 4/3*b**2.
-b**2*(b + 1)*(9*b + 2)**2/3
Let p be (-80)/(-32)*(-28)/(-315). Solve -p*f**2 - 16/9 + 2*f = 0.
1, 8
Factor -308050*k + 452945/6*k**2 + 5/6*k**4 + 505*k**3 + 930250/3.
5*(k - 2)**2*(k + 305)**2/6
Let v be 216/432*(-4)/(-1). Let y(f) be the second derivative of 0 - 4/7*f**3 - 24/7*f**v + 9*f - 1/28*f**4. Solve y(s) = 0.
-4
Determine c so that -272/7*c**2 - 276/7 - 550/7*c + 2/7*c**3 = 0.
-1, 138
Let b = -6004 - -24017/4. Let z(o) be the first derivative of -11 + 0*o + 1/12*o**3 + b*o**2. Factor z(p).
p*(p + 2)/4
Let f be (1 + 10/(-20))/((-12)/938). Let g = 159/4 + f. Suppose -g*m - 1/3*m**3 - m**2 + 0 = 0. Calculate m.
-2, -1, 0
Factor -224/3 + 2/9*k**3 + 572/9*k + 98/9*k**2.
2*(k - 1)*(k + 8)*(k + 42)/9
Let u(o) be the third derivative of o**6/24 + 23*o**5/12 - 45*o**4/2 - 6*o**2 + 106. Find g, given that u(g) = 0.
-27, 0, 4
Find h, given that -127/3*h**2 - 3*h**4 - 35*h**3 + 1/3*h**5 + 80*h + 0 = 0.
-5, -3, 0, 1, 16
Let r(t) = 3*t**3 + 4*t**2 + 4*t - 11. Let b(x) = 17*x + 12*x + 6 - 31*x + 21*x**3 - 23*x**3 - 2*x**2. Let g(a) = -7*b(a) - 4*r(a). Solve g(d) = 0 for d.
-1, 1
Let l(u) be the third derivative of u**6/60 + 143*u**5/5 + 61347*u**4/4 - 79*u**2 + 24*u. Solve l(f) = 0 for f.
-429, 0
Let z(s) be the first derivative of s**6/160 - s**5/80 - 35*s**2 + 153. Let y(a) be the second derivative of z(a). Determine o so that y(o) = 0.
0, 1
Let i(o) = -o**2 + 2*o + 13. Let u be i(4). Suppose 2 = -y, -2*j + y + u = -3. Find x, given that 0*x + 4*x - 2 + 4*x**j + 2*x**4 - 7*x - x = 0.
-1, 1
Let g(c) = -26*c**2 - 26478*c - 34980125. Let k(v) = -335*v**2 - 344210*v - 454741625. Let b(n) = 90*g(n) - 7*k(n). Factor b(z).
5*(z + 2645)**2
Let y = 10276 - 10271. Let 7/2*c**2 + 69/4*c**3 + 1/4*c + 20*c**y + 34*c**4 + 0 = 0. Calculate c.
-1, -1/4, -1/5, 0
Let b(w) be the second derivative of -3*w**4/32 - 155*w**3/8 - 309*w**2/16 - 3843*w. Find x, given that b(x) = 0.
-103, -1/3
Factor 1/5*t**3 + 456/5 + 118/5*t**2 + 92*t.
(t + 2)**2*(t + 114)/5
Let a be (-9 - (-3 + -3)) + 6. Factor 10*t**3 - 3*t**2 - 1 - 9 - a*t**4 - 14 - 13*t**3 + 12*t + 21*t**2.
-3*(t - 2)*(t - 1)*(t + 2)**2
Suppose -277*a = -279*a. Factor 6/5*z**3 - 3/5*z**2 + 0 + a*z.
3*z**2*(2*z - 1)/5
Let t(r) be the third derivative of -r**8/1176 + 4*r**7/147 - 4*r**6/15 + 11*r**5/35 + 171*r**4/28 - 162*r**3/7 - 120*r**2 - 5. What is f in t(f) = 0?
-2, 1, 3, 9
Let p be ((-23850)/400 + 59)*(-1)/5. Factor 1/8*o**3 + p*o**2 - 1/8 - 1/8*o.
(o - 1)*(o + 1)**2/8
Let t = 65 + -61. Find v, given that 97*v**t - 102*v**4 - 23*v + 3*v + 15*v**3 = 0.
-1, 0, 2
Solve 32 + 3032*f**2 - 572*f - 470157*f**3 - 99*f**4 + 1571*f**4 + 256*f**5 + 465937*f**3 = 0.
-8, 1/8, 1
Let o(z) be the second derivative of 5*z**7/42 - 43*z**5/4 + 35*z**4/2 + 70*z - 12. Factor o(j).
5*j**2*(j - 6)*(j - 1)*(j + 7)
Let g = 7199 + -21595/3. Factor -g + 1/3*i**2 - 1/3*i.
(i - 2)*(i + 1)/3
Suppose 83*n = 82*n + 9. Suppose -n = 94*a - 97*a. Factor -a*d**3 - 4*d + 8*d**2 - 3 - 5 + 7*d**3.
4*(d - 1)*(d + 1)*(d + 2)
Suppose -2*t - 3*t -