 8. Let f be x(11). What is l in -15*l**f - 1784*l**4 - 12*l + 3569*l**4 + 24*l**2 - 1782*l**4 = 0?
0, 1, 2
Let y(m) be the first derivative of 7*m**3/3 - 85*m**2 - 11529. Determine g so that y(g) = 0.
0, 170/7
Let o(t) be the first derivative of t**5/20 + 103*t**4/16 + 493*t**3/12 + 285*t**2/8 - 441*t/2 - 2416. Factor o(p).
(p - 1)*(p + 3)**2*(p + 98)/4
Let w = -5 + 7. Suppose 126*f + 4*m + 56 = 129*f, -4*f + 5 = m. Let 0*b - 9/4*b**f + 0*b**w + 0 + 3/4*b**3 = 0. Calculate b.
0, 1/3
Suppose -3*v + 56 = -6*a + 5*a, 2*v = 4*a + 174. Let l be 10/6 - a/123. Factor 2*t**l + 2/5*t**5 + 0 - 4/5*t - 6/5*t**3 - 2/5*t**4.
2*t*(t - 1)**3*(t + 2)/5
Let i(r) = -375*r + 12. Let m be i(-9). Solve m - 1697 + 42*h - 1651 + 3*h**2 = 0.
-13, -1
Let b(m) be the third derivative of m**7/315 - m**6/6 + 26*m**5/15 - 74*m**4/9 + 64*m**3/3 - 81*m**2 + 3. Let b(o) = 0. What is o?
2, 24
Factor -1/3*n**5 - 12*n - 37/3*n**3 + 0 + 20*n**2 + 10/3*n**4.
-n*(n - 3)**2*(n - 2)**2/3
Let u(s) = -3*s**5 - s**4 + 2*s**2 + 1. Let z(r) = 4*r**5 + 58*r**4 - 175*r**3 + 119*r**2 - 3. Let o(x) = -3*u(x) - z(x). Solve o(d) = 0 for d.
0, 1, 5
Let u(k) = k**3 - 63*k**2 + 518*k - 1673. Let t be u(54). Let t*y**3 + 43*y - 7 - 25/4*y**4 - 339/4*y**2 = 0. What is y?
2/5, 1, 7
Let f be ((-616)/(-35) + (-2)/(-5))*(-28)/(-14). Let y(u) be the first derivative of -1/3*u + 7/12*u**2 - f - 1/6*u**3. Suppose y(o) = 0. What is o?
1/3, 2
Let t be (1 - 8/4) + 3. Factor t*z**5 - 8*z**4 - 8*z**3 - 3*z**3 + 17*z**3.
2*z**3*(z - 3)*(z - 1)
Let f(z) be the second derivative of z**7/7560 + z**6/270 + z**5/30 - 37*z**4/4 + 30*z. Let s(n) be the third derivative of f(n). Factor s(y).
(y + 2)*(y + 6)/3
Let o = 717 - 711. Let q(c) be the second derivative of 0*c**5 + 1/105*c**o - 1/294*c**7 + 0 + 17*c + 0*c**2 + 1/42*c**3 - 1/42*c**4. What is f in q(f) = 0?
-1, 0, 1
Let v(c) be the third derivative of c**7/1050 - c**6/300 - 19*c**5/300 + 17*c**4/30 - 2*c**3 - c**2 - 371*c. Factor v(i).
(i - 3)*(i - 2)**2*(i + 5)/5
Factor -735/2 + 487/2*t + 1/2*t**3 + 247/2*t**2.
(t - 1)*(t + 3)*(t + 245)/2
Let x(t) be the third derivative of 0 - 9/16*t**4 - 1/160*t**5 - 81/4*t**3 - 52*t**2 + 0*t. Suppose x(u) = 0. Calculate u.
-18
Let z be 117/27 + -2 + (60 - 58). Let -z*m**2 + 0 - 7/3*m - 5/3*m**3 + 1/3*m**4 = 0. What is m?
-1, 0, 7
Let y be (2/(-4))/((-1)/6). Factor 3*u**y - 46 + 19 + 3 - 21*u**2 + 42*u.
3*(u - 4)*(u - 2)*(u - 1)
Let o(n) be the first derivative of -2*n**5/45 + 7*n**4/6 - 12*n**3 + 60*n**2 - 144*n + 434. Factor o(r).
-2*(r - 6)**3*(r - 3)/9
Let s(n) = -1929*n**3 + 16*n**2 - 6*n - 48. Let l(a) = -1930*a**3 + 15*a**2 - 5*a - 40. Let z(i) = -6*l(i) + 5*s(i). Factor z(t).
5*t**2*(387*t - 2)
Solve -456/7*w - 2/7*w**4 + 88/7*w**3 + 100/7*w**2 + 270/7 = 0 for w.
-3, 1, 45
Let f(a) be the third derivative of a**6/180 + 23*a**5/90 + 20*a**4/9 + 76*a**3/9 + 4*a**2 + 38. What is o in f(o) = 0?
-19, -2
Let x be (80/24)/(-10) + (-286)/(-845). Let r(c) be the third derivative of 0*c + 0*c**3 + 0*c**4 + x*c**7 + 12*c**2 + 1/156*c**6 - 1/195*c**5 + 0. Factor r(s).
2*s**2*(s + 1)*(7*s - 2)/13
Suppose -108*s = -81*s. Let o(t) be the first derivative of -10*t**4 - 4*t**5 - 4 - 5/2*t**2 + s*t - 25/3*t**3. Let o(z) = 0. Calculate z.
-1, -1/2, 0
Let w be -14*(272/(-238))/4. Suppose -17*j**2 - 9/2*j**3 + 3/2*j**5 + 4 - 6*j + 4*j**w = 0. Calculate j.
-2, -1, 1/3, 2
Let j(k) be the first derivative of -5 + 3/10*k**2 - 6/5*k + 1/5*k**3. Determine q so that j(q) = 0.
-2, 1
Let i be 0/((-1 - -4)*(-7)/3). Let j(a) be the second derivative of 0 + i*a**4 - 19*a + 0*a**2 - 3/140*a**5 + 1/14*a**3. Find d, given that j(d) = 0.
-1, 0, 1
Let h be 84/(-459)*3*(-180)/70. Suppose 4 = 5*i + 3*f, 2*f - 3*f = 2. Let 0 - 4/17*o - h*o**3 - 18/17*o**i - 10/17*o**4 = 0. What is o?
-1, -2/5, 0
Let n(w) be the first derivative of w**4/4 - 15*w**3/4 + 324. Factor n(t).
t**2*(4*t - 45)/4
Let s(t) = 0*t**3 - 23*t**2 - 50*t + 17 + 4*t**3 - 3*t**3 - 6. Let g be s(25). Find o, given that -g*o**3 - 8*o**2 + 10*o + 11*o**3 - 4 + 2*o**3 = 0.
1, 2
Suppose 377*n - 405*n + 28 = 0. Let f(l) = 5*l**2 + 28*l - 31. Let q be f(n). Let 1/5*w**3 + 7/5*w**q - 1/5*w - 7/5 = 0. Calculate w.
-7, -1, 1
Let k(x) be the second derivative of 2*x**7/21 + 176*x**6/15 - 179*x**5/5 + 30*x**4 - 5*x - 76. Factor k(z).
4*z**2*(z - 1)**2*(z + 90)
Suppose 1 + 5*a**3 - 5454*a**2 + 605*a - 1 + 5564*a**2 = 0. Calculate a.
-11, 0
Let w(z) be the second derivative of z**6/75 - 13*z**5/25 + 23*z**4/30 + 10*z**3/3 - 979*z + 3. Factor w(h).
2*h*(h - 25)*(h - 2)*(h + 1)/5
Let s(l) be the second derivative of -l**6/105 + 6*l**5/35 - 9*l**4/14 - 40*l**3/21 + 6115*l. Factor s(w).
-2*w*(w - 8)*(w - 5)*(w + 1)/7
Find c, given that 0 + 11/4*c**3 + 0*c + 3/2*c**2 + 3/4*c**4 = 0.
-3, -2/3, 0
Solve 69*k - 954*k + 5*k**3 + 210 + 126*k**2 - 655 - 561*k**2 = 0.
-1, 89
Suppose -12 = -4*h + 4*u, -4*u - 4 = -92*h + 90*h. Factor 5265*f**2 - 79*f**3 + h*f**4 + 4096 - 128*f**3 - 8448*f - 653*f**2 - 57*f**3.
4*(f - 32)**2*(f - 1)**2
Let i(t) = 5*t**2 + 243*t - 2. Let d(g) = 85*g**2 + 4130*g - 35. Let m(y) = -2*d(y) + 35*i(y). Factor m(n).
5*n*(n + 49)
Let v(a) = -a**3 + 3*a**2 + a + 1. Let h(o) = 40*o**3 + 185*o**2 - 220*o - 85. Let d(k) = -h(k) - 20*v(k). Solve d(m) = 0 for m.
-13, -1/4, 1
Factor -7*s**3 + 1/3*s**4 + 74/3*s**2 + 96 + 128*s.
(s - 12)**2*(s + 1)*(s + 2)/3
What is v in 397476/5*v + 3/5*v**4 + 404058/5*v**2 - 803736/5 + 2199/5*v**3 = 0?
-366, -2, 1
Suppose -6/11*c**5 + 102/11*c**3 - 24/11*c**4 + 144/11*c**2 - 216/11*c + 0 = 0. Calculate c.
-6, -2, 0, 1, 3
Let m(b) be the first derivative of -5/3*b**3 + 1/12*b**4 + 81*b + 9/2*b**2 + 265. Let m(p) = 0. What is p?
-3, 9
Let 6*x**3 - 3*x**5 + 2*x**5 + 5706*x**4 - 5705*x**4 = 0. What is x?
-2, 0, 3
Let o(g) = 3*g**3 + 69*g**2 + 426*g + 352. Let j(b) = 6*b**3 + 138*b**2 + 852*b + 702. Let i(p) = 4*j(p) - 9*o(p). Factor i(q).
-3*(q + 1)*(q + 10)*(q + 12)
Factor -284258/11 - 1508/11*d - 2/11*d**2.
-2*(d + 377)**2/11
Find g, given that 57*g**2 + 23*g + 27*g + 604 - 1175 + 556 - 4*g - 4*g**3 = 0.
-1, 1/4, 15
Let z(k) be the third derivative of -k**8/168 - 94*k**7/525 + 19*k**6/300 + 100*k**2 - 4*k. Find u, given that z(u) = 0.
-19, 0, 1/5
Let v(f) be the third derivative of f**5/30 + 80*f**4/3 - 107*f**3 + 5*f**2 + 135. What is j in v(j) = 0?
-321, 1
Suppose 2*u + 13 = 2*n + n, 20 = 4*n. Let h be (1 - u) + 9 + -3 + -4. Solve 25*f**4 - 35*f**3 + 0*f**3 - 247*f**h + 257*f**2 = 0.
0, 2/5, 1
Determine m, given that -125*m**2 - 5*m**5 - 75*m - 108 + 98 + 90 + 105*m + 45*m**4 - 25*m**3 = 0.
-1, 1, 2, 8
Find k such that -4 + 102*k - 362*k**2 - 32407*k**3 - 204*k**2 + 32875*k**3 = 0.
1/18, 2/13, 1
Suppose -212 = -6*m + 124. What is q in 39*q**2 + 37*q**2 - m*q**2 - 4*q**3 + 56*q = 0?
-2, 0, 7
Let n(l) be the first derivative of l**6/120 + l**5/5 + 2*l**4 + 2*l**3/3 - 3*l + 92. Let o(w) be the third derivative of n(w). Determine a so that o(a) = 0.
-4
Let b(o) be the second derivative of -o**6/90 + o**5/5 - 4*o**4/3 - 9*o**3/2 + 12*o - 2. Let q(l) be the second derivative of b(l). Suppose q(y) = 0. What is y?
2, 4
Let s be (-8382)/44*22/12. Let j = -349 - s. Factor 1/4*t**2 + 0*t + 1/4*t**5 + 0 - j*t**3 - 1/4*t**4.
t**2*(t - 1)**2*(t + 1)/4
Let k(r) be the third derivative of -r**6/420 + 37*r**5/210 - 3*r**4/7 + 2*r**2 - 632. Factor k(t).
-2*t*(t - 36)*(t - 1)/7
Suppose 2/5*p - 122/5*p**2 + 0 + 1798/5*p**3 + 1922/5*p**4 = 0. What is p?
-1, 0, 1/31
Suppose -175 = 99*g - 237*g + 101. Suppose -8/19*f**g - 2/19*f**4 + 0 + 0*f + 10/19*f**3 = 0. Calculate f.
0, 1, 4
Suppose -2*p - 5*w + 24 = 0, 3*w - 2 = -9*p + 14*p. Factor 1/7*d**3 + 1/7*d**p + 0 + 0*d.
d**2*(d + 1)/7
Let u(q) be the second derivative of 75/2*q**2 - 5/12*q**4 - 72*q + 2 - 5/3*q**3. Factor u(x).
-5*(x - 3)*(x + 5)
Let m(d) = 5*d**2 + 6*d - 24. Let l(h) = -51*h**2 - 60*h + 240. Suppose 0 = -z - 2, 5*b + 44 = 3*b - z. Let k(a) = b*m(a) - 2*l(a). Factor k(c).
-3*(c - 2)*(c + 4)
Let x(r) be the first derivative of -r**5/120 + r**4/18 + r**3/36 - r**2/3 + 157*r - 58. Let j(i) be the first derivative of x(i). Determine g so that j(g) = 0.
-1, 1, 4
Let c = 112412 + -112412. Find o such that -2*o**2 + 8/5*o**3 + c - 2/5*o**4 + 4/5*o = 0.
0, 1, 2
Let f(y) be the first derivative of -32 - 13*y**2 - 12*y + 16/3*y**3. Le