t u(l) = 0. What is l?
-50, 43
Let u(f) be the first derivative of -7*f + 4 - 1/27*f**3 + 5/108*f**4 + 0*f**2. Let b(c) be the first derivative of u(c). Factor b(o).
o*(5*o - 2)/9
Let z(o) be the first derivative of o**3/18 + 7*o**2/3 - 190*o/3 + 5828. Factor z(f).
(f - 10)*(f + 38)/6
Let f(j) be the first derivative of j**4/8 + j**3/2 + 3*j**2/4 + j/2 + 1217. What is a in f(a) = 0?
-1
Let k = 239 + -236. Factor 2*z**2 + 340*z - 169*z - 2*z**4 + z**3 - 3*z**k - 169*z.
-2*z*(z - 1)*(z + 1)**2
Let a(l) be the first derivative of -l**6/30 + 3*l**5/20 - l**4/4 + l**3/6 + 30*l + 148. Let z(d) be the first derivative of a(d). Factor z(y).
-y*(y - 1)**3
Let y(m) = 6*m**2 + 44*m + 54. Let v(j) = -2*j**2 - 13*j - 18. Let r(t) = 16*v(t) + 5*y(t). Factor r(d).
-2*(d - 3)**2
Let z(f) = -2270*f - 167977. Let x be z(-74). Determine v, given that -2/9*v**4 + 10/3*v**x + 0 + 0*v - 8*v**2 = 0.
0, 3, 12
Suppose 480/7*f + 260/7*f**2 - 20/7*f**4 - 100/7*f**3 + 4/7*f**5 - 144 = 0. Calculate f.
-3, 2, 7
Let f(k) be the first derivative of k**4/9 + 64*k**3/27 - 2*k**2 - 64*k - 400. Factor f(h).
4*(h - 3)*(h + 3)*(h + 16)/9
Let g(v) be the second derivative of 12/5*v**2 - v - 1/6*v**3 - 1/60*v**4 + 2. Find m, given that g(m) = 0.
-8, 3
Let w(f) = 11*f - 148. Let a be w(18). Suppose 2*j - q - 59 + a = 0, -5*j + 24 = -4*q. Solve -168*h**3 - 132/5*h + 12/5 + 441/5*h**j + 519/5*h**2 = 0 for h.
2/7, 1/3, 1
Find g, given that 4/7*g**2 - 60 - 416/7*g = 0.
-1, 105
Let o = 431 - 256. Let f be (20/(-3))/(o/(-210)). Factor 1/2 + 12*z**2 + f*z**3 + 9/2*z.
(z + 1)*(4*z + 1)**2/2
Let i be (0 + -60)*(-15642)/65175. Factor -i*u + 0 + 6/5*u**3 + 2/15*u**4 + 0*u**2.
2*u*(u - 3)*(u + 6)**2/15
Let i = -350177 + 350180. Factor 3*r**2 - 3/2*r**i + 12*r + 0.
-3*r*(r - 4)*(r + 2)/2
Let q(f) be the third derivative of 0*f**3 - 1/144*f**4 - 1/720*f**6 + 1/180*f**5 - 72*f**2 + 0*f + 0. Factor q(u).
-u*(u - 1)**2/6
Suppose 4*c = -5*x + 5, 2*x - 5*c - 3 - 32 = 0. Let 12*o**2 + 15*o + 8*o**2 - x*o**4 + 45*o - 15*o**3 = 0. Calculate o.
-3, -2, 0, 2
Suppose -485 = -4*a + 399. Suppose -91 = 13*w - a. Factor 5*h + 5*h**4 - 5*h - 30*h**3 + w*h**2 + 15*h**3.
5*h**2*(h - 2)*(h - 1)
Let a = 45 - 43. Let x = 2328 - 30232/13. Factor x*q**a - 16/13*q**3 + 0*q - 2/13*q**5 + 0 - 14/13*q**4.
-2*q**2*(q - 1)*(q + 4)**2/13
Let l(u) = u - 19. Let p be l(34). Solve -28 + p + 140*o + 8*o**2 + 16 - 3 - 4*o**3 = 0 for o.
-5, 0, 7
Let u(d) = d**3 + 19*d**2 - 72*d - 42. Let a be u(-22). Let x be ((-4)/a)/((-49)/245). Suppose -2/9*q - x*q**4 + 2/9*q**2 + 2/9*q**3 + 0 = 0. What is q?
-1, 0, 1
Let a(t) be the second derivative of 3/8*t**2 + 0 - 103*t - 3/40*t**5 + 1/120*t**6 + 1/4*t**4 - 5/12*t**3. Let a(o) = 0. Calculate o.
1, 3
Let x(r) be the first derivative of r**5/5 + r**4/4 - 49*r**3/4 + 71*r**2/4 - 35*r/4 + 2513. Suppose x(j) = 0. Calculate j.
-7, 1/2, 5
Let i = -2695 - -2780. Let s = -38 - -75. Factor -i*f**4 + 43*f**4 - 25*f**3 - 35*f**2 - 15*f + s*f**4.
-5*f*(f + 1)**2*(f + 3)
Factor 0 + 358/9*v**2 + 122/9*v**3 - 8/3*v.
2*v*(v + 3)*(61*v - 4)/9
Let x(n) be the second derivative of -n**4/90 + 3*n**3 + 4516*n. Factor x(s).
-2*s*(s - 135)/15
Let i(b) be the third derivative of -b**6/100 - 13*b**5/75 + b**4/5 + 24*b**3 - 1179*b**2. Factor i(q).
-2*(q + 6)**2*(3*q - 10)/5
Let l(r) be the third derivative of -r**10/30240 - r**9/3780 - r**8/1680 + 47*r**4/24 - 2*r**2 - 194. Let y(w) be the second derivative of l(w). Factor y(z).
-z**3*(z + 2)**2
Suppose 0 = 5*m + 2*x - 5, 2*m - 2*x + 14 = -6*x. Suppose -m*j - 9 = 0, 3*n + 5*j + 8 = 2. Let 0*r + 2/3*r**4 + 0 - 1/2*r**2 + 11/6*r**n = 0. Calculate r.
-3, 0, 1/4
Suppose 74/3*z**2 - 272/3*z + 54*z**5 + 354*z**4 + 40/3 + 1286/3*z**3 = 0. Calculate z.
-5, -1, 2/9
Let d = 8239 - 8239. Let x(a) be the second derivative of 1/3*a**2 + 13*a + d + 3/20*a**5 + 13/18*a**3 + 5/9*a**4. Find s such that x(s) = 0.
-1, -2/9
Determine h so that 25111*h - 24 + 24*h**2 + 25109*h + h**3 - 50221*h = 0.
-24, -1, 1
Let c(x) be the second derivative of x**7/42 - 4*x**6/15 + 3*x**5/5 + 2399*x. Factor c(l).
l**3*(l - 6)*(l - 2)
Let t(m) be the first derivative of -m**6/3 + 5*m**4/2 - 4*m**2 - 2307. What is s in t(s) = 0?
-2, -1, 0, 1, 2
Let c(v) be the third derivative of -v**7/70 + 9*v**6/10 - 207*v**5/10 + 405*v**4/2 - 2025*v**3/2 + 963*v**2. Factor c(u).
-3*(u - 15)**2*(u - 3)**2
Let k(l) = l - 1. Let s be (-2)/8 - (-10)/8. Let z(b) = 5*b**2 + 1988 - 4*b - 1986 - 3*b**2. Let y(w) = s*z(w) + 2*k(w). Factor y(p).
2*p*(p - 1)
Factor -525*s - 2*s**2 - 3*s**2 + 485*s + 240.
-5*(s - 4)*(s + 12)
Let h(a) be the second derivative of a**6/150 - 23*a**5/100 + 16*a**4/5 - 344*a**3/15 + 448*a**2/5 + 77*a + 3. Factor h(f).
(f - 8)*(f - 7)*(f - 4)**2/5
Suppose x + 29*u = 25*u + 4, -x + 3 = 3*u. Suppose 4 = 58*k - 56*k - 3*c, 5*k - c - 10 = x. Factor 5/2*a**3 - 25/2*a**k + 85/6*a - 5 + 5/6*a**4.
5*(a - 1)**3*(a + 6)/6
Suppose 254*n + 24300 = 257*n. Let -124*d**2 + n - 122*d**2 + 250*d**2 - 360*d = 0. Calculate d.
45
Let d = -44 - -46. Let s be 0 + (1 - (-4 + d)). Factor 7*a**3 + 2*a**2 - 2 - a**5 - 4*a**s - a**3 - a**4 - a + 1.
-(a - 1)**2*(a + 1)**3
Let a be -45*(-7)/(-21)*(-2)/3. Let s(c) be the first derivative of a + 1/2*c**4 - 2/3*c**3 + 8*c - 4*c**2. Factor s(d).
2*(d - 2)*(d - 1)*(d + 2)
Let p(h) be the first derivative of -h**3/3 + 75*h**2/2 - 74*h + 401. Let p(o) = 0. Calculate o.
1, 74
Let o(j) be the first derivative of -j**3/27 + 997*j**2/9 + 2318. Suppose o(k) = 0. Calculate k.
0, 1994
Determine j, given that 98/13*j - 2/13*j**3 + 240/13 + 0*j**2 = 0.
-5, -3, 8
Let v(z) be the second derivative of z**7/126 - 37*z**6/90 + 3*z**5/5 + 10*z + 172. Factor v(c).
c**3*(c - 36)*(c - 1)/3
Let b(g) = -48*g**2 + 676*g + 6700. Let o(p) = -7*p**2 + 97*p + 957. Let y(v) = -3*b(v) + 20*o(v). Factor y(s).
4*(s - 30)*(s + 8)
Suppose -d + 3*t - 36 = -4*d, 28 = 5*d - 3*t. Suppose -d*v + 6 = -10. Factor y**2 - 9*y - 13*y**2 + 6*y**v - 5*y**3 + 4*y**3.
-y*(y + 3)**2
Let z be (4 - (-1)/(56/(-304)))*175/(-225). Factor -8/9 + 2/9*c**4 - 10/9*c + 2/3*c**2 + z*c**3.
2*(c - 1)*(c + 1)**2*(c + 4)/9
Let r(l) be the first derivative of l**5/35 + l**4/28 - 8*l**3/21 - 6*l**2/7 - 1427. Solve r(g) = 0 for g.
-2, 0, 3
Suppose h + 36 = 13*h. Solve -33*u**2 - 46*u**3 - 12 - 57*u + 43*u**h - 15 = 0.
-9, -1
Suppose 0 = 10*x + 163 + 417. Let c = 61 + x. Let -1 + 3*r**4 - 6*r + 7 + 6*r**c - 9 = 0. What is r?
-1, 1
Let t(x) = 20*x**3 + 7652*x**2 + 42. Let d(w) = 4*w**3 + 1530*w**2 + 9. Let v(m) = -14*d(m) + 3*t(m). Find f, given that v(f) = 0.
-384, 0
Let k(i) be the first derivative of 2/11*i**2 - 1/110*i**5 - 3*i - 17 + 1/11*i**3 + 0*i**4. Let f(v) be the first derivative of k(v). Factor f(y).
-2*(y - 2)*(y + 1)**2/11
Suppose 24*t = 306*t - 24*t. Let q = -162/115 - -60/23. Let t - q*m + 3/5*m**2 = 0. What is m?
0, 2
Let w(g) be the third derivative of -139*g**6/780 + g**5/130 - 2*g**2 - 127*g. Suppose w(n) = 0. Calculate n.
0, 3/139
Let m(g) = 9*g**3 - 18*g**2 + 55*g - 34. Let r(h) = -58*h**3 + 107*h**2 - 331*h + 204. Let v(o) = -13*m(o) - 2*r(o). Factor v(n).
-(n - 17)*(n - 2)*(n - 1)
Let i(y) be the third derivative of -11*y**8/63 + 118*y**7/105 - 2*y**6/45 - 704*y**5/45 + 40*y**4 - 32*y**3/9 + y**2 + 33*y + 3. Find n, given that i(n) = 0.
-2, 1/44, 2
Let h(w) be the second derivative of -w**7/210 + 19*w**6/150 - 21*w**5/50 - 31*w**4/15 + 236*w**3/15 - 192*w**2/5 - 16*w - 313. Factor h(v).
-(v - 16)*(v - 2)**3*(v + 3)/5
Let q(j) be the first derivative of j**4/14 + 1802*j**3/21 - 1606. Factor q(n).
2*n**2*(n + 901)/7
Let r(f) = -2*f**2 - 365*f - 896. Let z be r(-180). Let j(w) be the second derivative of 0*w**2 + 1/3*w**3 + 1/10*w**5 + 0 - 26*w + 1/3*w**z. Factor j(x).
2*x*(x + 1)**2
Suppose -2*u + 230 = 385 - 229. Let y(n) be the second derivative of 0*n**2 + 1/18*n**4 + 0 - u*n + 5/9*n**3. Factor y(z).
2*z*(z + 5)/3
Let u = 166 + -67. Let j = 113 - u. Factor 2*c**3 - 1262 - 40*c**2 - j*c**2 - 196 + 486*c.
2*(c - 9)**3
Let v(m) = m**4 + 86*m**3 + 488*m**2 + 702*m + 351. Let y(n) = 85*n**3 + 490*n**2 + 700*n + 360. Let p(g) = -5*v(g) + 4*y(g). Factor p(q).
-5*(q + 1)**2*(q + 7)*(q + 9)
Let t = 5/19604 + 78401/58812. Find c, given that t*c**5 - 112*c + 136/3*c**2 - 96 - 16*c**4 + 44*c**3 = 0.
-1, 2, 6
Let n(t) be the second deri