/5
Suppose -17*d + 22*d + 4*c + 4 = 0, -5*c = d + 5. Let s(a) be the second derivative of a + 8*a**2 - 1/3*a**4 + 0*a**3 + d. Find q, given that s(q) = 0.
-2, 2
Let y(o) be the second derivative of -o**7/21 - 2*o**6/15 + 11*o**5/10 + 2*o**4 - 12*o**3 + 573*o. Factor y(j).
-2*j*(j - 2)**2*(j + 3)**2
Let j be 0 + 3 + -7 + 36/6. Find p, given that -7*p**2 + 7*p**2 - 11*p - 2*p**j + 2*p**3 - p = 0.
-2, 0, 3
Let q(h) = -h**2 + 11*h - 26. Let y be q(3). Let z be ((-2)/(-15 - -27))/(y/4). Factor 0*o**2 - 4/3*o**4 + z*o**5 + 0 + 0*o + 0*o**3.
o**4*(o - 4)/3
Let v = -7 + 15. Let z(i) = i**2 + 41*i + 151. Let h be z(-37). Factor -6*f**2 - 16 + v - 20*f**h + 20*f + 14*f**2.
-4*(f - 1)*(f + 1)*(5*f - 2)
Let l(a) = -8*a**2 + 28*a - 56. Let h(j) = 9*j**2 - 27*j + 54. Let y = -152 + 156. Let r(t) = y*h(t) + 5*l(t). Factor r(p).
-4*(p - 4)**2
Let k(x) be the second derivative of x**5/20 - 31*x**4/12 + 140*x**3/3 - 294*x**2 - 32*x + 8. Factor k(y).
(y - 14)**2*(y - 3)
Solve -71*n**3 - 1209 + 107*n**3 - 19752*n**2 + 13156*n - 652 - 331 = 0.
1/3, 548
Let x(q) be the third derivative of -q**6/540 - 176*q**5/135 - 7744*q**4/27 + 2017*q**2. Determine n, given that x(n) = 0.
-176, 0
Factor -2/21*o**2 - 884/21 - 886/21*o.
-2*(o + 1)*(o + 442)/21
Factor 951/7*n**3 + 0 - 75843/7*n + 3/7*n**4 + 74889/7*n**2.
3*n*(n - 1)*(n + 159)**2/7
Let s be 4/6 + (-3129)/63. Let z be 5/(35/s) + 9. Let -3*h - 1/2 - 5/2*h**z = 0. What is h?
-1, -1/5
Factor 0 + 0*x + 1/4*x**5 + 13/4*x**3 - 3/2*x**2 - 2*x**4.
x**2*(x - 6)*(x - 1)**2/4
Let j(t) be the second derivative of 2*t**7/21 + 16*t**6/15 + 13*t**5/5 - 26*t**4/3 - 128*t**3/3 - 64*t**2 + 1834*t. Let j(l) = 0. What is l?
-4, -1, 2
Let d(k) be the first derivative of -k**3/6 + 41*k**2/4 - 200*k - 8651. Determine u, given that d(u) = 0.
16, 25
Let j(l) be the third derivative of -7*l**6/30 + 23*l**5 + 42*l**4 - 200*l**3/3 - l**2 + 3094. Find y such that j(y) = 0.
-1, 2/7, 50
Find m such that -276/5*m**3 - 3*m**5 - 18/5 - 306/5*m**2 - 141/5*m - 108/5*m**4 = 0.
-3, -2, -1, -1/5
Let w(p) be the first derivative of -p**4/40 + 1541*p**3/30 - 29722*p**2 + 59290*p - 3456. What is x in w(x) = 0?
1, 770
Suppose -15178 = 3*q - p + 2*p, 5*q + 4*p + 25292 = 0. Let a be -10 + (q/(-45))/11. Factor -2/3*z + 0*z**2 + 4/9 + a*z**3.
2*(z - 1)**2*(z + 2)/9
Let l(q) = 13*q**4 + 35*q**3 + 5*q**2 - 120*q - 128. Let g(z) = 7*z**4 + 17*z**3 + 3*z**2 - 56*z - 64. Let i(d) = -5*g(d) + 3*l(d). What is f in i(f) = 0?
-4, -2, -1, 2
Factor -5*u**2 + 2954 + 744*u + 800*u - 779 - 1938*u + 804*u.
-5*(u - 87)*(u + 5)
Factor -70*v**2 + 21*v**4 - 126*v - 87*v**3 - 24*v**4 - 92*v**2 + 126*v.
-3*v**2*(v + 2)*(v + 27)
Let t = -268241 - -268257. Find m, given that -26/5*m**3 + 18/5*m**2 + t*m + 4/5*m**4 + 32/5 = 0.
-1, -1/2, 4
Factor -3*q**2 - 225422 - 72*q + 9*q + 225638.
-3*(q - 3)*(q + 24)
Let h(o) be the second derivative of 85/6*o**3 - 116*o - 5/2*o**7 + 0 + 35/2*o**4 - 5*o**2 - 20/3*o**6 + o**5. Determine v so that h(v) = 0.
-1, 2/21, 1
Suppose 14*a = 7*a. Suppose a = 5*f - 13 - 2. Factor x**2 + 14*x - 2*x - f*x**3 - 4*x**2 + 12.
-3*(x - 2)*(x + 1)*(x + 2)
Let v(s) be the third derivative of -1 - 17/120*s**6 - 3/140*s**7 - 75*s**2 + 0*s**3 + 1/8*s**4 + 0*s - 19/120*s**5. Let v(j) = 0. Calculate j.
-3, -1, 0, 2/9
Let m be 35/10 - 21/14. Suppose -m = 22*a - 46. Factor 1/3*x**2 + a*x + 3.
(x + 3)**2/3
Solve -196*p**5 - 4098*p**3 + 1920 + 1345*p**4 - 9195*p - 4282*p**3 + 13464*p**2 + 491*p + 839*p**4 = 0 for p.
4/7, 2, 3, 5
Let x(n) be the second derivative of -n**4/40 + 4*n**3/15 + 3*n**2/5 + 737*n + 2. Solve x(i) = 0.
-2/3, 6
Suppose c - m - 13 = 0, 0 = -3*c - m + 9 + 14. Suppose c*n - 5*z = 8*n + 23, 4*z + 19 = n. Factor -2/9*a**2 + 8/3 - 2/9*a**n + 16/9*a.
-2*(a - 3)*(a + 2)**2/9
Let w(o) = -40*o**3 - o**2 - 3*o - 2. Let x be (-21)/(-14)*1/3*-2. Let y be w(x). Determine u, given that -261*u**2 + 104*u**2 - 5*u**3 - y*u + 127*u**2 = 0.
-4, -2, 0
Let i(c) be the second derivative of c**5/20 + 9*c**4/4 + 12*c**3 + 105*c + 1. Find f such that i(f) = 0.
-24, -3, 0
Suppose -47*r + 88 + 52 = 46. Let j(z) be the first derivative of -r*z + 32 - 34/9*z**3 - 13/3*z**2 - 7/6*z**4. Factor j(h).
-2*(h + 1)**2*(7*h + 3)/3
Let c(y) be the third derivative of -y**5/12 - 10*y**4/3 + 282*y**2 - y - 3. Solve c(w) = 0.
-16, 0
Let o = -164 - -169. Solve 3*d**o - 4*d**4 + 1393*d**3 - 1397*d**3 + 4*d**2 + d**5 = 0.
-1, 0, 1
Let l(t) be the second derivative of t**5/100 + t**4/40 - 51*t**2/2 - 23*t. Let h(c) be the first derivative of l(c). Factor h(v).
3*v*(v + 1)/5
Let y = -717697 - -718275. What is g in 0 - 544*g**2 - y*g + 67/2*g**3 - 1/2*g**4 = 0?
-1, 0, 34
Let y(i) be the third derivative of 3*i**5/20 + 295*i**4/24 - 11*i**3 - 5*i**2 + 99. Determine s so that y(s) = 0.
-33, 2/9
Let c = 56 - 53. What is y in -29 - 3*y**2 + y**c + 29 + 2*y**2 - y**4 + 2*y**2 - y = 0?
-1, 0, 1
Let l(i) = -67*i**2 - 6427*i + 2067248. Let w(y) = 445*y**2 + 44990*y - 14470735. Let t(j) = -20*l(j) - 3*w(j). Determine g so that t(g) = 0.
643
Let d(q) be the second derivative of q**5/100 + 13*q**4/40 - 7*q**3/5 - 59*q**2/2 - 82*q. Let y(o) be the first derivative of d(o). Factor y(w).
3*(w - 1)*(w + 14)/5
Let d = 56 - 23. Suppose -d*h + 167*h - 96 - 192*h**2 + 146*h - 18*h**3 = 0. What is h?
-12, 2/3
Let i(b) = -3 + 63*b + 5 - 62*b. Let m be i(1). Determine r so that 2*r - 4*r**2 - m*r - r**2 + 6*r - 5*r**3 + 5*r**4 = 0.
-1, 0, 1
Let v(b) be the second derivative of -4/3*b**3 - 46*b + 0 + 2/15*b**6 + 2/5*b**5 + 0*b**2 - 1/3*b**4. Factor v(g).
4*g*(g - 1)*(g + 1)*(g + 2)
Let d(m) be the first derivative of 1/9*m**3 + m**2 + 53 - 7/3*m. Factor d(h).
(h - 1)*(h + 7)/3
Let g = -9 - -13. Let o be g*(5/3)/(4/(-3)). Let u(y) = -15*y**2 + 2*y + 1. Let s(x) = x**2 - x. Let f(z) = o*u(z) - 40*s(z). Determine p so that f(p) = 0.
-1, 1/7
Let r(b) be the first derivative of 7396/5*b + 112 - 68/3*b**3 + 1/5*b**4 + 3526/5*b**2. Suppose r(i) = 0. Calculate i.
-1, 43
Let b be (-9)/(378/(-24)) - (-149)/21. Let q = b - 19/3. Suppose 4*o - 8/3 - q*o**2 = 0. Calculate o.
1, 2
Suppose 2*l - 1 = 3*m + 11, 3*m = -3*l - 12. Let a(g) be the first derivative of 9/5*g**2 - 1/5*g**3 + l*g + 1/25*g**5 - 17 - 1/5*g**4. Factor a(b).
b*(b - 3)**2*(b + 2)/5
Suppose -5*b + 1 = -3*b + 3*s, 4*b = -3*s + 17. Let m be b/(-6)*(-54)/24. Suppose 4/3*u + 0 + 2*u**2 + 2/3*u**m = 0. Calculate u.
-2, -1, 0
Let n(o) be the third derivative of 126*o**2 + 0 + 7/12*o**5 + 5/6*o**4 + 1/24*o**6 + 0*o - 10*o**3. Determine y, given that n(y) = 0.
-6, -2, 1
Let p(f) be the third derivative of f**6/40 + f**5/4 - 39*f**4/4 + 36*f**3 - 4487*f**2. Find l such that p(l) = 0.
-12, 1, 6
Factor -2*i**2 + 684*i - i**2 + 124 - 649 - 156.
-3*(i - 227)*(i - 1)
Suppose -97 - 89 = -93*y. Let l be (-50)/(-90) - (-8)/(-36). Suppose -1/6*n**y - 1/6*n + l = 0. Calculate n.
-2, 1
Let w be ((-44)/11)/((42/4)/(-3)). Factor w + 1/7*q**2 + 9/7*q.
(q + 1)*(q + 8)/7
Suppose 215*s = 205*s + 180. Let b be 6/s*(-1 + (-7)/(-4)). Solve -1/4*m**2 + 0 - b*m**5 + 0*m + 1/4*m**4 + 1/4*m**3 = 0.
-1, 0, 1
Let t = -236645 + 236649. Suppose 10/7*o**5 + 4/7*o**2 + 0 - 16/7*o**t + 0*o + 2/7*o**3 = 0. Calculate o.
-2/5, 0, 1
Let r(v) be the second derivative of v**6/45 + 46*v**5/15 + 746*v**4/9 - 9568*v**3/3 + 32448*v**2 + 2121*v. Factor r(k).
2*(k - 6)**2*(k + 52)**2/3
Let z be (-16)/(-12)*12*9/4. Factor -2*w**5 + 32*w**2 - 5*w**4 - 10*w - z*w**3 + 3*w**4 + 18*w**4.
-2*w*(w - 5)*(w - 1)**3
Suppose 3*x + 4 = 5*x - 2*u, 2*u = 0. Factor 5*z - 1 + 0 + 0 + 45*z**2 + 9*z - x*z.
(3*z + 1)*(15*z - 1)
Find k such that -8*k**2 + 1/3*k**4 + 0 + 0*k + 1/3*k**5 - 14/3*k**3 = 0.
-3, -2, 0, 4
Let i(c) be the second derivative of c**6/180 - c**5/60 - c**4/6 - 7*c**3/18 - 5*c**2/12 - c + 186. Solve i(f) = 0.
-1, 5
Let r(f) be the third derivative of -f**6/100 + 17*f**5/150 - f**4/6 - 587*f**2. What is q in r(q) = 0?
0, 2/3, 5
Let l(u) be the second derivative of 2/17*u**5 + 4/255*u**6 + 1/6*u**4 + 0*u**2 + 53 + 4/51*u**3 + u. Find y, given that l(y) = 0.
-4, -1/2, 0
Let h be (-77 + 10230/135)*3/(-1). Factor h*d + 25/6*d**2 - 7/6 - 2/3*d**3.
-(d - 7)*(d + 1)*(4*d - 1)/6
Find g such that -50/13*g**5 - 240/13*g + 90/13*g**4 + 64/13 + 452/13*g**3 + 8/13*g**2 = 0.
-2, -1, 2/5, 4
Let s(x) be the third derivative of -x**7/504