et s(y) be the third derivative of l(y). Let s(d) = 0. What is d?
0, 1/6, 2
Let q(i) be the second derivative of -2401*i**4/60 - 98*i**3/15 - 2*i**2/5 - i - 129. Factor q(g).
-(49*g + 2)**2/5
Let f(r) be the third derivative of 1369*r**5/60 - 37*r**4/24 + r**3/24 - 3*r**2 + 1571*r. Factor f(a).
(74*a - 1)**2/4
Suppose -244 = -2*v + 41*i - 45*i, -15 = 3*i. Let u be (v - 132)/(4/2). Factor 4/5 - 4/5*n**2 + u*n.
-4*(n - 1)*(n + 1)/5
Let u(k) be the second derivative of k**7/42 + 5*k**6/3 + 112*k**5/5 - 1168*k**4/3 + 896*k**3/3 + 12544*k**2 + 8708*k. Determine x so that u(x) = 0.
-28, -2, 4
Let m(k) = k**2 - 1. Let v be m(-2). Suppose 0 = -6*z + 2*z - 5*c + 8, 8 = 4*z - c. Factor -2*a**z + a**5 + 2*a**4 + 2*a**v + 3*a**5 - 6*a**5.
-2*a**2*(a - 1)**2*(a + 1)
Let c(x) be the first derivative of x**2/2 - 10*x + 18. Let a be c(13). Factor -2*l**2 - 9*l**3 + 20*l**3 - 9*l**a.
2*l**2*(l - 1)
Let m be (-14)/(-4)*(3456/(-15120))/((-12)/110). Factor -2/3*y**2 + 20/3*y + m.
-2*(y - 11)*(y + 1)/3
Suppose 4*l = 16, -l = -3*b + 4*l - 14. Let g(n) = -2*n**2 - 38*n - 177. Let i be g(-9). Factor -b*s**i - 4*s**3 + 0*s**3 + 3*s**3.
-3*s**3
Let x(r) = 20*r**2 - 4*r - 2. Let m be x(-1). Let g = m + -20. Suppose -4*a**2 - 11*a - g*a**3 - 10*a + 29*a - 10*a = 0. What is a?
-1, 0
Let m be (20/(-36))/((-595)/9996). Factor -30*d**2 - 86/3*d - 34/3*d**3 - 2/3*d**4 - m.
-2*(d + 1)**3*(d + 14)/3
Let q(v) be the second derivative of 0 - 8/5*v**4 - 6/25*v**5 - 1/75*v**6 - 64/15*v**3 - 80*v + 0*v**2. Suppose q(k) = 0. What is k?
-4, 0
Let i be ((-21)/30)/((-48)/12900). Let w = i + -188. Factor -1/8*h**4 + w*h**2 + 1/8*h**3 - 1/8*h + 0.
-h*(h - 1)**2*(h + 1)/8
Let m be -25 + 2 - 4774/(-155). Solve 42/5 - m*j - 3/5*j**2 = 0.
-14, 1
Let c(f) be the second derivative of f**2 - 5/36*f**4 - 2*f - 13/18*f**3 + 60. Factor c(p).
-(p + 3)*(5*p - 2)/3
Let v(o) be the third derivative of o**6/40 + o**5/60 - 2*o**3/3 + 113*o**2. Let t(m) = -m**3 + 2*m**2 + 1. Let s(c) = 4*t(c) + v(c). Factor s(z).
-z**2*(z - 9)
Let h(l) be the second derivative of -2*l**6/45 - 77*l**5/15 - 33*l**4 - 734*l**3/9 - 292*l**2/3 - 309*l + 1. Solve h(g) = 0.
-73, -2, -1
Factor 1047/2*m**2 - 19*m**3 - 6175*m + 1/4*m**4 + 105625/4.
(m - 25)**2*(m - 13)**2/4
Determine v so that -10*v**3 - 284 - 34*v**2 - 422*v - 16*v**2 - 492*v**2 + 1547*v**2 - 289*v**2 = 0.
-2/5, 1, 71
Factor -20279 - 2*z**2 - 75572 + 20222 - 6*z - 57499 + 1038*z.
-2*(z - 258)**2
Let b(a) = 2*a**5 + 22*a**4 + 32*a**3 - 94*a**2 - 62*a + 72. Let s(g) = g - 4*g**3 + 14*g**3 - 9*g**3. Let c(x) = -2*b(x) - 28*s(x). What is y in c(y) = 0?
-6, -1, 1
Let -194*n**3 - 39*n**2 + 21*n + 39*n**4 - 82*n**3 + 6*n**5 + 249*n**3 = 0. Calculate n.
-7, -1, 0, 1/2, 1
Let h = -2890 - -2893. Let t(k) be the second derivative of 1/4*k**4 - 6*k**2 - 8*k + 0 + 0*k**h. Factor t(q).
3*(q - 2)*(q + 2)
Let a be (1 - 2) + 5 + 1. Factor 10*r**4 + 32*r**3 - r**5 - 20 - 7*r**3 - 5*r**4 - 40*r - a*r**2 - 4*r**5.
-5*(r - 2)**2*(r + 1)**3
Let t(a) be the third derivative of a**7/1260 - a**6/80 - 70*a**2 + 3. What is c in t(c) = 0?
0, 9
Let l be (0 - 11)*5/(-5). Suppose 5*a**3 - a**3 - 48 + 9*a**2 - 33*a - a**2 - l*a = 0. Calculate a.
-4, -1, 3
Let u(k) = -2*k**2 - 2709*k - 9. Let d(t) = 2710*t + 6. Let f(q) = 3*d(q) + 2*u(q). Factor f(i).
-4*i*(i - 678)
Let l = 408139 + -408137. Factor 20*j - 5/2*j**l - 75/2.
-5*(j - 5)*(j - 3)/2
Let d = 582 + -579. Solve 135*v + 43*v**2 + 12*v**d - 9*v**3 + 2*v**2 + 135 + 2*v**3 = 0 for v.
-3
Suppose 2570 - 1658 = 8*u. Suppose -227*z**3 + u*z**3 + 118*z**3 - 45*z**2 = 0. What is z?
0, 9
Find l, given that -2553/2*l + 9/4*l**2 - 852 = 0.
-2/3, 568
Let j(c) be the first derivative of 4*c**3/3 + 70*c**2 + 136*c - 1796. Factor j(i).
4*(i + 1)*(i + 34)
Let t(k) = 2*k**4 - 213*k**3 + 602*k**2 - 613*k + 212. Let p(a) = 2*a**4 - 212*a**3 + 604*a**2 - 612*a + 210. Let h(m) = 5*p(m) - 4*t(m). Factor h(f).
2*(f - 101)*(f - 1)**3
Let m(u) = u**3 - 10*u**2 + 19*u + 14. Let b be m(-4). Let j be (-104)/12*132/b. Factor 8*r - j*r**3 - r**4 - 16 + 1/2*r**5 + 8*r**2.
(r - 2)**3*(r + 2)**2/2
Factor 2/17*g**4 + 348/17*g**2 - 344/17*g + 114/17 - 120/17*g**3.
2*(g - 57)*(g - 1)**3/17
Let x(z) be the second derivative of z**6/90 - 7*z**5/6 + 47*z**4/3 - 445*z**3/9 - 1525*z**2/6 + 1310*z. Factor x(s).
(s - 61)*(s - 5)**2*(s + 1)/3
Let i(o) be the second derivative of 0*o**3 - 1/6*o**4 + 16*o**2 - 89 - o. Suppose i(r) = 0. What is r?
-4, 4
Let j(p) be the first derivative of p**3/24 + 95*p**2/16 + 91*p/2 - 1081. Factor j(a).
(a + 4)*(a + 91)/8
Factor -8192/5 + 9728/5*a + 456/5*a**3 - 18/5*a**4 - 3656/5*a**2.
-2*(a - 2)**2*(3*a - 32)**2/5
Let l(t) be the third derivative of -3*t**8/28 + 199*t**7/7 - 321291*t**6/160 - 360621*t**5/40 - 16443*t**4 - 15876*t**3 + 3800*t**2. Let l(w) = 0. Calculate w.
-3/4, -2/3, 84
Let q(t) = 4*t**3 - 4*t**2 + 2*t. Let k be q(3). Suppose k = 8*l - 5*l. Suppose 22*z - l*z - 4*z**4 + 12*z**2 + 12*z = 0. What is z?
-1, 0, 2
Suppose 0 = -u + 4*k - 10, 4*k = -17*u + 12*u + 46. Suppose 10*o - 7*o - 21 = 0. What is w in 8*w + 2*w**2 - 7*w**2 + 0*w + o*w**2 + u = 0?
-3, -1
Let m be 14*4/(-16)*-2. Let s = 183 + -179. Let -24*o**3 + m*o**4 - 8 + s*o**2 - 15*o**4 - 6*o**2 + 24*o = 0. What is o?
-2, 1/2
Determine k, given that 3/2*k**3 + 54*k**2 + 0 + 105/2*k = 0.
-35, -1, 0
Let t(s) = 4*s**4 - s**2 - s - 1. Let d(a) = 17*a**4 + 35*a**3 + 4*a**2 - 104*a - 75. Let p(g) = 3*d(g) - 15*t(g). Suppose p(k) = 0. What is k?
-1, 2, 35/3
Suppose -5*v + 4*m + 113 = -21, 0 = v + m - 25. Let k = v - 24. Factor -u**3 - 4*u**3 - 5*u**3 + 8*u**2 - 24*u**2 - k*u**4 - 8*u.
-2*u*(u + 1)*(u + 2)**2
Let x = 344 + -84. Let o be x/60 - ((-8)/(-6) - 1). Let -15*f**2 - 378*f**o + 353*f**4 + 0*f**5 + 35*f**3 + 5*f**5 = 0. What is f?
0, 1, 3
Let u(m) be the second derivative of -5*m**7/28 + 49*m**6/20 + 3*m**5/4 - 225*m**4/4 + 315*m**3/4 + 243*m**2/4 - 511*m - 6. Solve u(c) = 0.
-3, -1/5, 1, 3, 9
Find z such that -16*z**5 - 110*z**2 + 11*z**5 - 40*z**4 - 78*z**3 - 14*z**3 - 40*z - 13*z**3 = 0.
-4, -2, -1, 0
Let v = 171542 + -3601492/21. Let m = -68/7 + v. Solve m + 2/3*q**2 + 28/3*q = 0 for q.
-7
Let h(d) = 6*d - 28. Let b be h(5). Solve -4*j**2 - 68*j + 24 - 7*j**4 - 4*j**4 + 60*j**b - 5*j**4 + 4*j**5 = 0.
-2, 1, 3
Suppose -322 + 320 = -l. Let a(b) = -5*b**2 + 22*b - 22. Let f(i) = -110*i**2 + 485*i - 485. Let t(g) = l*f(g) - 45*a(g). Solve t(d) = 0 for d.
2
Let d(n) be the third derivative of 11/480*n**6 - 2*n + 1/420*n**7 - 5/96*n**4 + 32*n**2 + 0*n**3 + 0 + 1/60*n**5. Find m, given that d(m) = 0.
-5, -1, 0, 1/2
Let z(i) = i**3 + 6*i**2 - 72*i + 2. Let y be z(-12). Let n(g) be the first derivative of 1/6*g**3 + 1/2*g**2 + 1/2*g - y. Factor n(h).
(h + 1)**2/2
Let r(f) be the first derivative of 5*f**6/6 + 10*f**5 + 85*f**4/2 + 260*f**3/3 + 185*f**2/2 + 50*f + 5894. Find b such that r(b) = 0.
-5, -2, -1
Let m(s) = 2*s**3 + 8*s**2 - 9*s - 30. Let z be m(-4). Let d(f) be the first derivative of -2*f**3 + z*f - 1/2*f**2 + 1/4*f**4 + 22. Let d(o) = 0. What is o?
-1, 1, 6
Let o(n) be the first derivative of n**4/16 + 6*n**3 + 35*n**2/2 - 5480. Suppose o(a) = 0. Calculate a.
-70, -2, 0
Let y be (8/26)/((-3136)/(-20384)). What is r in 0 + 2/5*r - 24/5*r**y = 0?
0, 1/12
Let l(x) be the second derivative of -x**5/30 + 515*x**4/18 - 341*x**3/3 - 513*x**2 - 5164*x + 1. Solve l(y) = 0 for y.
-1, 3, 513
Let w(s) be the third derivative of s**5/90 - 217*s**4/6 + 47089*s**3 - 801*s**2. Suppose w(l) = 0. Calculate l.
651
Let g be ((-1416)/(-88) - 16)*(15 + -1)*11. Find o, given that -g + 1/3*o**2 - 19/3*o = 0.
-2, 21
Let y(o) be the first derivative of -1/7*o**4 + 0*o - 4/7*o**3 + 88 + 4/7*o**2 - 2/21*o**6 + 12/35*o**5. Find b, given that y(b) = 0.
-1, 0, 1, 2
Let g(w) be the third derivative of 0*w**3 + 0*w - 2/75*w**6 - 341*w**2 + 1/50*w**5 - 1/420*w**8 + 0*w**4 + 1/75*w**7 + 0. Factor g(u).
-2*u**2*(u - 1)**2*(2*u - 3)/5
Let -1029/4*v**3 + 255 - 753/4*v**2 - 3/4*v**5 + 258*v - 267/4*v**4 = 0. Calculate v.
-85, -2, -1, 1
Let h(a) be the second derivative of -13/4*a**5 - 20*a + 0*a**2 + 0*a**3 - 4/3*a**6 - 5/42*a**7 + 0 - 5/2*a**4. Determine c so that h(c) = 0.
-6, -1, 0
Determine n so that 4*n**3 + 6480 + 3604/5*n**2 + 32544*n = 0.
-90, -1/5
Solve -98/9*o + 232/3*o**2 - 122*o**3 - 4/9 = 0.
-