ive of -2*u**7/105 + 8*u**6/75 + 39*u**5/25 + 58*u**4/15 - 56*u**3/15 - 144*u**2/5 + 70*u - 5. Let y(k) = 0. What is k?
-2, 1, 9
Let a be 17/4 - 11/44. Suppose -a*w - 1498 = -6822. Factor 2*i**3 + w - 1331 - 6*i**2.
2*i**2*(i - 3)
Let r(o) = 9*o**3 - 2*o**2 - o - 2. Let h be r(2). Let 32*a**4 - 124*a + 54*a**3 + h*a**2 + 70*a - 56*a**4 - 33*a**4 - 3 = 0. Calculate a.
-1, -1/19, 1
Let d = 393 + -391. Suppose -9*z + 88*z**2 + 0 + z**3 + 3 - 94*z**d + 11 = 0. Calculate z.
-2, 1, 7
Suppose -1644*u = -172*u - 13410 - 4254. Solve 12/5*l - u*l**2 + 0 + 3*l**4 - 15*l**3 + 18/5*l**5 = 0.
-2, -1, 0, 1/6, 2
Factor 1454/7*w - 1/7*w**2 - 528529/7.
-(w - 727)**2/7
Suppose 51 = 5*m - h, -5*h = m - 10*h + 9. Suppose -3*r = -m*r + 16. Let -5 - 6*n**3 + r*n + n**3 + 3*n + 5*n**2 = 0. Calculate n.
-1, 1
Let p(r) be the second derivative of -r**6/150 + 23*r**5/25 - 35*r + 28. Factor p(w).
-w**3*(w - 92)/5
Let f(t) = 30*t - 209. Let z(i) = 6*i - 42. Let y(w) = 2*f(w) - 11*z(w). Let q be y(7). Factor 45*j**2 + 5*j**3 + 40*j + 9*j**2 - 19*j**q - 80.
5*(j - 1)*(j + 4)**2
Suppose 0 = -5*q + 2*h + 50, 9 = 2*q - 6*h + 3*h. Factor -5 - 6*p**2 - 108*p - q*p**2 + 133*p - 2*p**2.
-5*(p - 1)*(4*p - 1)
Let p(z) be the first derivative of 5/6*z**6 - 25/3*z**3 + 60*z + 55 - 7*z**5 + 75/4*z**4 - 40*z**2. Solve p(o) = 0.
-1, 1, 2, 3
Let j(g) be the second derivative of g**6/30 + g**5 + 9*g**4/2 + 26*g**3/3 + 17*g**2/2 - 2*g - 1003. Let j(d) = 0. Calculate d.
-17, -1
Suppose 0 = 4*o + 2 - 10. Suppose -2*s = 5*x - 79, 4*s - o*x + 128 = 346. Find f such that 3*f**2 + 99 - 42*f + s - 4 = 0.
7
Suppose 161*n = 257 + 328 + 220. Determine l, given that -14/11 - 23/11*l + 1/11*l**n + 10/11*l**4 + 4/11*l**2 + 2*l**3 = 0.
-7, -2, -1, 1
Let s(d) be the second derivative of 2/21*d**3 - 55*d + 0 - 8/7*d**2 + 1/42*d**4. Factor s(f).
2*(f - 2)*(f + 4)/7
Let g(t) be the second derivative of -1/18*t**4 + 8/9*t**2 + 98*t + 0 + 2/9*t**3 - 1/90*t**5. Factor g(l).
-2*(l - 2)*(l + 1)*(l + 4)/9
Let n be (-8)/(0 - -1) - -2. Let z(a) = -a**2 - 9*a - 7. Let t be z(n). Let 45*u**4 - 62*u**3 - 5*u**2 - 2*u**2 + 20*u + 15 - t = 0. Calculate u.
-2/5, -2/9, 1
Let p(k) = -k**3 + 11*k**2 + k - 6. Let u be p(11). Suppose 14 = u*f + 4. Factor 5 + 0 - 190*z**2 + 184*z**f + 3*z**4 - 2.
3*(z - 1)**2*(z + 1)**2
Factor -403*w - 34823 - 5*w**2 - 457 + 1243*w.
-5*(w - 84)**2
Let l(h) = -12*h**2 - 3*h + 81. Let g(x) be the first derivative of x**3 + x**2/2 - 20*x + 113. Let t(b) = -9*g(b) - 2*l(b). Suppose t(q) = 0. Calculate q.
-3, 2
Suppose -43*b = -1371 - 564. Let r(a) be the first derivative of -2*a**5 + b + 6*a - 3*a**4 + 7*a**2 + 4/3*a**3 - 1/3*a**6. Factor r(n).
-2*(n - 1)*(n + 1)**3*(n + 3)
Find a such that -2/7*a**2 + 2/7*a**4 + 0 - 48/7*a**3 + 48/7*a = 0.
-1, 0, 1, 24
Suppose 7*u = 4*u - 30. Let m = 42 + u. Factor -30*j**2 - 8*j + 0 + 8 + m*j + 8*j**3.
2*(j - 2)**2*(4*j + 1)
Let k be (-98)/(-40) - 1 - 199*155/154225. Suppose 9 = 4*y + 1. Factor -1/4*u**y - u + k.
-(u - 1)*(u + 5)/4
Suppose -16*o + 381 - 109 = 0. Suppose -4*n - 4 = -15*j + o*j, 2*j - 10 = 3*n. Determine r so that -8/13*r - 24/13 + 2/13*r**j = 0.
-2, 6
Suppose 121*a - 147*a = 0. Let g(r) be the second derivative of -1/3*r**3 + a - 16*r + 1/18*r**4 + 0*r**2. Factor g(s).
2*s*(s - 3)/3
Let s(j) be the first derivative of 79 - 80*j + 5/3*j**3 + 15*j**2. Let s(t) = 0. What is t?
-8, 2
Let -11/3*g**4 - 1/3*g**5 - 5/3*g**2 - 11*g**3 + 50/3*g + 0 = 0. What is g?
-5, -2, 0, 1
Find t such that -86/3*t + 2/3*t**3 - 28*t**2 + 0 = 0.
-1, 0, 43
Let h be 1/((-2)/6) - 70/14. Let b be (18 - 20)*h/4. Determine g so that 0 - 2/3*g**3 + 0*g + g**2 - 1/3*g**b = 0.
-3, 0, 1
Suppose 3*h = -22 + 34. Suppose -34*g = -h + 4. Let -5/2*k**3 + 0*k + g - 1/2*k**5 + 2*k**4 + k**2 = 0. What is k?
0, 1, 2
Factor -426*h**2 - 666 + 117*h**2 - 667 - 90*h + 1333 + 21*h**3.
3*h*(h - 15)*(7*h + 2)
Let f(u) be the first derivative of -2*u**3/3 + 220*u**2 - 24200*u - 659. Factor f(g).
-2*(g - 110)**2
Suppose -a - 5*q - 52 = 0, -283*a + 281*a + 5*q + 61 = 0. Find y, given that 177/7*y**4 + 96/7*y - 144/7*y**2 + 48/7 - 45/7*y**5 - 132/7*y**a = 0.
-2/3, -2/5, 1, 2
Let q(o) be the first derivative of -3*o**4/28 - 2*o**3/7 + 198*o**2/7 - 216*o - 2154. Suppose q(r) = 0. What is r?
-14, 6
Let j(c) be the second derivative of 5*c**4/12 + 305*c**3/2 + 836*c. Factor j(q).
5*q*(q + 183)
Let c(i) be the first derivative of i**4/4 + 11*i**3/3 - i**2 - 20*i - 111. Let s be c(-11). Solve 4/5*k**s + 8/5*k + 0 = 0.
-2, 0
Let u be ((-1050)/168)/(-25)*((-21)/(-27) - -1). Determine i so that -80/9*i**2 - u*i**5 + 8/3*i**4 + 52/3*i - 8 - 8/3*i**3 = 0.
-2, 1, 3
Let m(x) be the first derivative of x**6/30 + 6*x**5/25 - 5*x**4/4 + 6*x**3/5 - 1492. Factor m(c).
c**2*(c - 2)*(c - 1)*(c + 9)/5
Let z(v) = v**2 + 4*v - 21. Let m be z(-8). Factor x**3 - 22*x**2 + 1 + 19*x - 9 - m + 22*x - 1.
(x - 20)*(x - 1)**2
Let d be 15*(2*-2 - (-99)/27). Let v(n) = -8*n**2 - 7*n + 14. Let c(s) = -s**2 + s + 2. Let y(q) = d*v(q) + 35*c(q). Factor y(f).
5*f*(f + 14)
Solve 600 + 132*q - 728*q + 6*q**2 - 10*q**2 = 0.
-150, 1
Suppose 3*x + 14 = 4*v, -x - v + 4*v = 13. Suppose 0 = -g + x*g + l - 6, g = l + 2. What is q in -q**3 - 40*q**5 + 7*q**3 + 300*q**2 + 24*q**g - 304*q**2 = 0?
-2/5, 0, 1/2
Determine t, given that -135/8*t**2 - 65/8*t**4 - 19/4*t - 3/8*t**5 - 159/8*t**3 + 0 = 0.
-19, -1, -2/3, 0
Let 3/5*h**4 + 156/5*h**3 - 2046/5*h + 1104/5 + 783/5*h**2 = 0. Calculate h.
-46, -8, 1
Let f(c) be the third derivative of c**7/1260 + 37*c**6/180 + 5171*c**5/360 - 2831*c**4/18 + 1444*c**3/3 + 126*c**2 + 2*c. Factor f(h).
(h - 3)*(h - 1)*(h + 76)**2/6
Find i such that -13164880*i + 3629200*i**2 + 3991829 - 57577*i**3 + 1310*i**4 - 58543*i**3 + 8729291 - 5*i**5 = 0.
2, 86
Let m be 249/3237 - (578/(-260) - (4/5)/4). Solve -m*c**4 + 231/4*c**3 - 23/2 - 159/4*c - 4*c**2 = 0.
-1/2, -2/5, 1, 23
Let m be ((-2)/(-5))/((-3)/5)*3510/(-780). Let a(c) be the second derivative of 0 - 1/3*c**2 - 1/36*c**4 - 16*c - 1/6*c**m. Factor a(n).
-(n + 1)*(n + 2)/3
Let i(u) be the third derivative of u**5/300 - 7*u**4/40 - 116*u**3/15 - 286*u**2. Solve i(w) = 0.
-8, 29
Let p(c) be the first derivative of -1/4*c**4 - 11 - 2*c**3 + 1/5*c**5 + 8*c + 2*c**2. Factor p(a).
(a - 2)**2*(a + 1)*(a + 2)
Let l = -38320 - -191628/5. Suppose 28/5*a**4 - l*a**2 + 44/5*a**3 + 0 - 36/5*a**5 - 8/5*a = 0. Calculate a.
-1, -2/9, 0, 1
Suppose 0 = 4*u - 373 + 105. Factor 43*s - 28*s + 68*s + u*s - 5*s**2 + 155.
-5*(s - 31)*(s + 1)
Factor -6*v - 11/2 - 1/8*v**3 - 15/8*v**2.
-(v + 2)**2*(v + 11)/8
Factor 45/4*s - 29/4*s**2 + 0 + s**3.
s*(s - 5)*(4*s - 9)/4
Let h(v) be the first derivative of 2*v**5/35 + 29*v**4/14 + 298*v**3/21 - 389*v**2/7 + 60*v - 1199. Find r such that h(r) = 0.
-21, -10, 1
Let y(b) be the third derivative of -b**8/1008 + 11*b**7/630 - 7*b**6/60 + 7*b**5/18 - 53*b**4/72 + 5*b**3/6 - 414*b**2 + 2. Factor y(k).
-(k - 5)*(k - 3)*(k - 1)**3/3
Let g(x) be the second derivative of -x**7/10080 - x**6/320 + x**5/48 - 77*x**4/12 - 37*x + 2. Let t(z) be the third derivative of g(z). Factor t(r).
-(r - 1)*(r + 10)/4
Let f(g) be the first derivative of -g**5/40 + g**4/8 - 16*g**2 + 6. Let i(p) be the second derivative of f(p). Factor i(s).
-3*s*(s - 2)/2
Find g such that 0 - 93/7*g**2 - 3/7*g**3 - 174/7*g = 0.
-29, -2, 0
Let h(a) be the second derivative of a**5/660 + 4*a**4/33 + 128*a**3/33 + 25*a**2 - 53*a. Let k(w) be the first derivative of h(w). What is l in k(l) = 0?
-16
Let j(o) = 147*o**2 + 13530*o + 3051026. Let r(u) = -27*u**2 - 2706*u - 610205. Let b(x) = -2*j(x) - 11*r(x). Suppose b(n) = 0. What is n?
-451
Factor 96/7 - 45/7*x**2 - 3/7*x**3 + 54/7*x.
-3*(x - 2)*(x + 1)*(x + 16)/7
Let u(f) = -48*f + 4. Let p(a) = -3*a**2 - 7*a - 5. Let d(o) = -5*o**2 - 12*o - 9. Let y(l) = 4*d(l) - 7*p(l). Let r(c) = -u(c) - 4*y(c). Factor r(x).
-4*x*(x - 11)
Let j(u) = 19*u + 12*u**2 - 118 - 33*u**2 + 20*u**2. Let s(r) = 3*r**2 - 58*r + 355. Let t(n) = 8*j(n) + 3*s(n). Find l, given that t(l) = 0.
11
Let s = 562 + -550. Let x be ((-6)/(-15) - s/5) + 6. Factor -6*a**3 + 0 + 5/2*a**x - a + 9/2*a**2.
a*(a - 1)**2*(5*a - 2)/2
Let h(x) be the first derivative of -x**6/3600 - 13*x**5/1200 - x**4/8 + 242*x**3/3 + 11. Let d(o) be the third derivative of h(o). Factor d(t).
-(t + 3)*(t