/(24/54). Solve -2/21*u**d - 2/7*u - 2/21 - 2/7*u**2 = 0 for u.
-1
Let n be 364/(-260) - ((-85)/25)/1. Let i(b) be the second derivative of -1/66*b**4 + 0*b**n - 12*b + 2/33*b**3 + 0. Determine h so that i(h) = 0.
0, 2
Let x(u) be the third derivative of -1/42*u**7 + 1/12*u**5 + 82*u**2 + 0*u + 0*u**3 - 1/336*u**8 + 0 + 0*u**4 + 1/120*u**6. Factor x(d).
-d**2*(d - 1)*(d + 1)*(d + 5)
Let u be (-11 - 812/(-70))/(2/10). Factor -18*y - 48*y + u*y**2 - 1200 + 1200.
3*y*(y - 22)
Let w(r) be the first derivative of r**4 - 362*r**3/3 + 354*r**2 - 3698. Factor w(x).
2*x*(x - 2)*(2*x - 177)
Let i = -63954 - -447690/7. Solve 3*w**3 - i*w - 36/7*w**2 + 48/7 - 3/7*w**4 = 0 for w.
-1, 2, 4
Let h(l) = -6*l**2 - 6*l - 8. Let q(k) = 4*k**2 + k + 1. Suppose n - 36 = -17*n. Let y(g) = n*q(g) + h(g). Factor y(w).
2*(w - 3)*(w + 1)
Let p = -6902/57 + 6940/57. Suppose p*y**3 - 32 - 16/3*y + 10/3*y**2 = 0. What is y?
-4, 3
Let k(q) be the second derivative of 2/3*q**4 + 1/40*q**5 - 81/2*q**2 + 81*q + 2 + 15/4*q**3. Factor k(b).
(b - 2)*(b + 9)**2/2
Let a(n) be the first derivative of -1/10*n**5 + n**2 + 0*n + 5/8*n**4 - 4/3*n**3 + 8. Factor a(t).
-t*(t - 2)**2*(t - 1)/2
Let t = 3492 - 3490. Let z(h) be the second derivative of 5/12*h**4 + 0 + 7*h + 10*h**t + 10/3*h**3. Suppose z(m) = 0. Calculate m.
-2
Let z = 2952 + -2949. Let m be ((-114)/76)/(0 - (-42)/(-64)). Factor -2/7*r**z + m + 20/7*r**2 - 34/7*r.
-2*(r - 8)*(r - 1)**2/7
Let k(n) = -2*n**4 - n**3 + n**2 - 1. Let r = 468 + -467. Let d(q) = 5*q**5 - 19*q**4 + 8*q**3 + 2*q**2 - 2. Let l(c) = r*d(c) - 2*k(c). Factor l(g).
5*g**3*(g - 2)*(g - 1)
Let v(m) = -2*m**2 + 12*m + 20. Let a(i) be the first derivative of -4*i**3/3 + 23*i**2/2 + 42*i + 21. Let s(j) = -2*a(j) + 5*v(j). Factor s(x).
-2*(x - 8)*(x + 1)
Let r(p) be the first derivative of p**5/10 - p**4/16 + 68*p**2 + 105. Let i(g) be the second derivative of r(g). Solve i(j) = 0.
0, 1/4
Let g be 15/3 + 7*((-423)/(-63) - 7). Let x(j) be the second derivative of 0 - 1/28*j**4 - 3/7*j**2 - 3/14*j**g - 35*j. Determine t, given that x(t) = 0.
-2, -1
What is j in 581*j + 176*j**2 - 4*j**4 + 104*j**3 - 7*j**5 + 470*j - 640 + 3*j**5 + 428*j - 1831*j = 0?
-4, -2, 2, 5
Let c(i) = -85*i - 10453. Let o be c(-123). Let b be (-3)/2*(17/(-5) - -3). Factor b*p + 3/5*p**o - 3/5 - 3/5*p**3.
-3*(p - 1)**2*(p + 1)/5
Let v(y) be the first derivative of -2*y**3/39 - 62*y**2/13 - 122*y/13 + 1312. Factor v(u).
-2*(u + 1)*(u + 61)/13
Let 24*o + 78/7*o**3 - 81*o**2 + 144/7 + 24/7*o**5 + 153/7*o**4 = 0. Calculate o.
-4, -3/8, 1
Suppose 0 = -18*t - 899 + 935. Let y(s) = s**2 + 5*s + 6. Let m be y(-4). Factor 13 + t*j + 8*j**m - 15 - 2*j + 2*j - 8*j**3.
-2*(j - 1)*(2*j - 1)*(2*j + 1)
Let z = -116641 - -116641. Factor -2/11*t**4 + 0*t + 0*t**2 - 2/11*t**5 + 0 + z*t**3.
-2*t**4*(t + 1)/11
Let s be 2/4*(122 - 112). Let w(q) be the first derivative of 3*q - 3/5*q**s - 6 - 3*q**2 + 0*q**3 + 3/2*q**4. Find i, given that w(i) = 0.
-1, 1
What is g in -11/5*g**4 - 5*g**3 + 9/5*g**5 + 16/5*g + 3*g**2 - 4/5 = 0?
-1, 2/9, 1, 2
Let n(r) be the third derivative of r**7/42 + 123*r**6/20 - 74*r**5/15 + 4*r**2 + 63. Factor n(v).
v**2*(v + 148)*(5*v - 2)
Let r = -36 - -38. Let h(l) be the first derivative of -34*l**3/3 + 8*l**2 - 7. Let m(z) = z**2 - 1. Let n(t) = r*m(t) + h(t). Determine o, given that n(o) = 0.
1/4
Let b(p) be the first derivative of p**4/28 + 4*p**3/3 - 603*p**2/14 - 90*p + 2756. Solve b(y) = 0 for y.
-42, -1, 15
Let k(z) = -4*z**4 + 11*z**3 - 19*z**2 + 15*z - 6. Let a(c) = 5*c**4 - 12*c**3 + 19*c**2 - 16*c + 8. Let l(h) = 3*a(h) + 4*k(h). What is v in l(v) = 0?
0, 1, 3, 4
Let z be ((-99)/(-21))/(-1) - (-350)/70. Let d(q) be the first derivative of 0*q - z*q**2 - 16 + 2/7*q**3. Factor d(g).
2*g*(3*g - 2)/7
Let p(q) be the second derivative of -q**4/3 + 4202*q**3/3 - 4200*q**2 - 86*q - 16. Determine o, given that p(o) = 0.
1, 2100
Let d = -883 - -885. Let 7*b**2 + 73*b + 112 - 3*b**d + 53*b - 75*b + 13*b = 0. Calculate b.
-14, -2
Determine h, given that 3*h**5 + 517*h + 1578*h**2 - 247*h - 7*h**3 + 465*h + 321*h - 2*h**3 - 528*h**4 = 0.
-1, 0, 2, 176
Let p = -98 + 100. Factor -111*x**3 - 115*x**3 - 15*x**p - 25 + 221*x**3 + 45*x.
-5*(x - 1)**2*(x + 5)
What is u in 72 + 2592/7*u - 6*u**5 - 334/7*u**4 + 90/7*u**3 + 2950/7*u**2 = 0?
-7, -3, -2/3, -2/7, 3
Let l(u) be the third derivative of -u**8/840 + u**7/525 + 13*u**6/150 + 4*u**5/25 + u**2 - 531. What is i in l(i) = 0?
-4, -1, 0, 6
Let u(x) = -4*x**5 - 16*x**4 + 38*x**3 + 134*x**2 - 70*x - 244. Let v(r) = r**3 + r**2 - r + 2. Let q(d) = u(d) - 6*v(d). Let q(o) = 0. What is o?
-4, -2, 2
Let f be ((-67)/4 + 1)*-4. Suppose 1750*z + 247 = 1763*z. Factor 6*o**2 - 3*o**2 - z + f - 29 - 18*o.
3*(o - 5)*(o - 1)
Suppose -9*a + 3914 - 3896 = 0. Let g(d) be the third derivative of -1/2*d**4 + 3/40*d**6 - 6*d**a + 0*d + 0*d**5 + 0 + 0*d**3 + 1/70*d**7. Factor g(n).
3*n*(n - 1)*(n + 2)**2
Let d(g) = 3*g**3 - 375*g**2 - 11160*g + 11514. Let t(f) = -7*f**3 + 751*f**2 + 22320*f - 23025. Let c(k) = 13*d(k) + 6*t(k). Factor c(u).
-3*(u - 1)*(u + 62)**2
Let z(n) be the second derivative of n**6/60 - n**5/8 + n**4/4 + 2019*n. Find i, given that z(i) = 0.
0, 2, 3
Let c be (-21)/140*5 - 9/(576/(-304)). Solve 42/5*l**2 - 1/5*l**c + l**3 + 76/5*l + 8 = 0.
-2, -1, 10
Let g(s) be the second derivative of s**4/114 + 92*s**3/57 + 180*s**2/19 + 15134*s. Factor g(v).
2*(v + 2)*(v + 90)/19
Determine y, given that -10*y**2 + 1/2*y**3 + 0*y + 0 + 1/2*y**4 = 0.
-5, 0, 4
Let b(t) be the first derivative of -2/65*t**5 + 6/13*t**3 - 24/13*t - 124 - 4/13*t**2 + 0*t**4. Let b(h) = 0. What is h?
-3, -1, 2
Let z(h) = -h**3 + 3*h**2 + 24*h + 17. Let f be z(6). Suppose 3*t - 1 = -f*k + 48*k, 0 = 3*t - 4*k - 10. Find r such that 0*r**t - 1/2*r + 1/6*r**3 - 1/3 = 0.
-1, 2
Let c(t) be the third derivative of -1/6*t**4 + 0*t + 0*t**3 - 93 + 1/105*t**5 - 2*t**2. Solve c(g) = 0.
0, 7
Let y(l) be the third derivative of l**5/420 - l**4/28 - l**3/6 + 1897*l**2. Suppose y(c) = 0. Calculate c.
-1, 7
Factor 713*c**2 - 5*c**5 - 99*c**4 - 8109*c**2 + c**5 - 7740*c**3 + 8*c**4 - 257*c**4.
-4*c**2*(c + 1)*(c + 43)**2
Let z(c) be the second derivative of -c**6/150 - 63*c**5/100 - 341*c**4/20 - 4961*c**3/30 - 14930*c. Let z(r) = 0. What is r?
-41, -11, 0
Let g(v) = -1172892*v**2 + 4326*v + 17. Let u(a) = -21112055*a**2 + 77870*a + 299. Let q(l) = -106*g(l) + 6*u(l). What is c in q(c) = 0?
2/1083
Suppose -3*g + 4*a = 24, -3*g = 3*a - 16 - 2. Determine r, given that 7/3*r**5 + 47/3*r**3 + 0 + g*r + 44/3*r**4 + 10/3*r**2 = 0.
-5, -1, -2/7, 0
Let u = -100 - -1706/17. Let l be -5*((-30)/425)/3. Factor l*m**2 - u + 4/17*m.
2*(m - 1)*(m + 3)/17
Let l(y) be the second derivative of -109/40*y**5 + 0*y**2 - 1/3*y**3 + 0 - 13/6*y**4 + 13/2*y**6 - 46*y - 75/28*y**7. Factor l(k).
-k*(k - 1)**2*(15*k + 2)**2/2
Let w = -6551/3 + 2184. Let f(h) be the first derivative of -1/4*h**2 - 3/4*h - 1/20*h**5 - 2 + w*h**3 + 1/8*h**4. Factor f(n).
-(n - 3)*(n - 1)*(n + 1)**2/4
Let s(d) = -9*d**3 + 233*d**2 - 3716*d + 18004. Let c(z) = 19*z**3 - 463*z**2 + 7431*z - 36009. Let v(b) = 4*c(b) + 9*s(b). Factor v(i).
-5*(i - 25)*(i - 12)**2
Let p(v) be the first derivative of v**6/6 + 97*v**5/5 + 2301*v**4/4 - 2597*v**3/3 - 2401*v**2 - 3806. What is l in p(l) = 0?
-49, -1, 0, 2
Suppose 2/3*f**5 - 54*f**2 - 2/9*f**4 + 32/3 - 34*f**3 - 92/9*f = 0. Calculate f.
-6, -1, 1/3, 8
Let v(b) be the third derivative of b**7/1785 - 31*b**6/1020 + 59*b**5/510 - 29*b**4/204 - 1135*b**2. Factor v(w).
2*w*(w - 29)*(w - 1)**2/17
Let p(k) be the first derivative of -12*k**5/5 + 10*k**4 - 16*k**3 + 12*k**2 - 4*k + 654. Factor p(q).
-4*(q - 1)**3*(3*q - 1)
Let s(b) be the second derivative of -b**7/210 + 16*b**6/75 - 77*b**5/25 + 196*b**4/15 - 7*b - 173. Suppose s(a) = 0. What is a?
0, 4, 14
Let w(k) be the first derivative of -k**6/48 + k**5/12 + 65*k**4/48 + 25*k**3/6 - 61*k**2/2 - 127. Let j(r) be the second derivative of w(r). Factor j(c).
-5*(c - 5)*(c + 1)*(c + 2)/2
Suppose 170586*j - 170646*j - 105 = -345. Determine o, given that -99/2*o - 21 + 81*o**j - 15/2*o**5 - 231*o**3 + 228*o**2 = 0.
-1/5, 1, 2, 7
Solve 5550 + 264*d - 11*d**2 + 14*d**2 + 1386 - 1128 = 0.
-44
Let l be 0 + 240/198 + 246/(-451). Let u(y) be the second derivative of