(s) be the second derivative of f(s). Suppose q(d) = 0. Calculate d.
-2/5, 5
Factor -42 + 91 - 130*k - 5*k**3 + 79 + k**2 - 8 + 44*k**2.
-5*(k - 4)*(k - 3)*(k - 2)
Let j be ((-36)/(-216))/(3*-2*2/(-36)). Solve 0 - j*b - 1/8*b**2 = 0 for b.
-4, 0
Let x = -1150 - -1154. Let j(w) be the second derivative of -12*w + 0 + 1/30*w**6 + 0*w**3 - 1/20*w**5 - 1/6*w**x + 0*w**2. Let j(k) = 0. Calculate k.
-1, 0, 2
Solve 0*n**4 + 288 + 168*n**2 - 5*n**4 + 12*n**3 + n**4 + 315*n + 85*n = 0.
-2, 9
Solve 34/5*g**3 + 126/5*g + 0 - 162/5*g**2 + 2/5*g**4 = 0.
-21, 0, 1, 3
Let v(k) be the second derivative of -k**4/144 - 113*k**3/12 - 38307*k**2/8 + k - 140. Factor v(g).
-(g + 339)**2/12
Let a(k) = 14*k**4 + 23*k**3 - 2*k**2 - 8*k - 2. Let h(t) = 70*t**4 + 114*t**3 - 7*t**2 - 42*t - 11. Let o(r) = -11*a(r) + 2*h(r). Determine i so that o(i) = 0.
-2, -2/7, 0, 1/2
Let m be 8*(15 + (-570)/40). Let l(i) be the third derivative of -2*i**2 + 0*i**3 + 0 + 1/24*i**4 + 0*i + 1/120*i**5 - 1/240*i**m. Factor l(d).
-d*(d - 2)*(d + 1)/2
Let k(t) be the second derivative of 5/16*t**4 - 1/8*t**3 - 179*t + 0 + 0*t**2 + 9/40*t**5. Factor k(c).
3*c*(c + 1)*(6*c - 1)/4
Let d = 225136/993 - 56/993. Let q = d - 224. Solve 4/3*b**3 + 26/9*b**2 + 8/9 + 2/9*b**4 + q*b = 0 for b.
-2, -1
Let q be (-24)/19 + (-5 - -3)*-1. Let d be 2/(-5) - 13152/(-26030). Factor -20/19 - d*k**2 - q*k.
-2*(k + 2)*(k + 5)/19
Let i(p) be the third derivative of p**6/120 - 7*p**5/12 + 21*p**4/8 + 33*p**3/2 - 11*p**2 - 6*p - 2. Factor i(n).
(n - 33)*(n - 3)*(n + 1)
Let j be ((-40)/16 - -2)/(2/(-16)). Let r(w) be the first derivative of 0*w - 1/2*w**j - 1/5*w**5 + 0*w**3 + 0*w**2 + 1/2*w**6 - 1. Factor r(u).
u**3*(u - 1)*(3*u + 2)
Let a be (-8)/(-12) + (-2)/12. Let f be -39*(-756)/25272*(-18)/(-14). Factor -3/2*s**2 + 1/2*s - a*s**3 + f.
-(s - 1)*(s + 1)*(s + 3)/2
Let d = 1428 + -4280/3. Let i(r) be the first derivative of -22 + 0*r**2 + 1/2*r**4 - 1/20*r**5 + 0*r - d*r**3. Factor i(t).
-t**2*(t - 4)**2/4
Suppose 0 = -5*a - 2*s + 6, a = 5*s - 341 + 353. Suppose 192/7 + 3/7*h**a - 48/7*h = 0. Calculate h.
8
Let q(s) be the second derivative of 25/4*s**4 + 2 + 27/2*s**2 - 13*s + 15*s**3. Factor q(h).
3*(5*h + 3)**2
Let s(i) be the first derivative of -i**3/12 + 277*i**2/4 - 76729*i/4 + 302. Factor s(b).
-(b - 277)**2/4
Let f(o) = -164*o - 791. Let g be f(-5). Let k(c) be the second derivative of 0 - g*c - 1/42*c**4 + 1/7*c**2 + 0*c**3. Factor k(y).
-2*(y - 1)*(y + 1)/7
Let z(l) be the third derivative of l**5/12 - 35*l**4/12 - 440*l**3/3 - 902*l**2 - l - 3. Find b such that z(b) = 0.
-8, 22
Let f be (-2)/4 - 70/(-28). Factor -12*r**2 - 16*r**2 - 5*r**2 + 24*r**f + 3*r**3.
3*r**2*(r - 3)
Factor -17*v**3 + 3*v**4 + 24 + 45*v**2 - 1609*v + 1509*v + 49*v**2 - 14*v**3.
(v - 6)*(v - 2)**2*(3*v - 1)
Let k be (-187803)/(-6504)*(-8)/(-15). Solve -1/5*i**3 + k*i**2 - 304*i + 1444/5 = 0.
1, 38
What is k in 66/7*k**2 + 0 - 18*k - 2/7*k**4 - 2/7*k**3 = 0?
-7, 0, 3
Suppose -142 + 178 = 9*m. Let u(g) be the third derivative of 1/20*g**5 + 0 - 1/2*g**m + 13*g**2 + 3/2*g**3 + 0*g. Factor u(c).
3*(c - 3)*(c - 1)
Let i(n) = -285*n**3 - 7420*n**2 - 13985*n - 7020. Let u(s) = -30*s**3 - 781*s**2 - 1472*s - 739. Let h(c) = 9*i(c) - 85*u(c). What is r in h(r) = 0?
-73/3, -1
Suppose 3*p - 25 = -16. Suppose -2*x**4 - 45*x**p + 135*x**2 - 67*x + 7*x**4 - 88*x + 60 = 0. What is x?
1, 3, 4
Let o(s) = -22*s + 112. Let i be o(5). Let x(q) = 13*q - 129. Let g be x(12). Factor -3/4*c**i - 9*c - g.
-3*(c + 6)**2/4
Suppose 4*j = q + 7*j + 96, -2*q - 236 = -5*j. Let o = -215/2 - q. Determine g so that 1/4*g**5 - o*g**4 - 1/4*g + 1/2*g**2 + 0*g**3 + 0 = 0.
-1, 0, 1
Let d(o) be the first derivative of -36/5*o + 89 - 6/5*o**2 + 1/5*o**3. Let d(a) = 0. What is a?
-2, 6
Let x(v) be the second derivative of v**5/40 - 7*v**4/3 - 59*v**3/12 + 57*v**2/2 + 5*v - 3. Determine h so that x(h) = 0.
-2, 1, 57
Let m(q) be the second derivative of 16*q**6/75 + 9*q**5/25 - 31*q**4/15 - 24*q**3/5 - 8*q**2/5 - 407*q. Determine n so that m(n) = 0.
-2, -1, -1/8, 2
Suppose -2*s + 75 = 11. Suppose -34*i = -s*i - 6. Factor 3*j**i - 26*j - 4*j**3 - 7*j**2 + 26*j.
-j**2*(j + 7)
Let x(v) = -6 + 6*v**2 + 7 - 7*v**2. Let o be (2/(-5))/(3 - 212/70). Let h(l) = 4*l**2 + 9*l + 5. Let m(s) = o*x(s) - 2*h(s). Factor m(y).
-2*(y + 1)*(11*y - 2)
Let l = 91/5 + -18. Suppose -2*h = -2*w - 0 + 14, 4*w + h = 3. Suppose -j**w - 3/5 + 7/5*j + l*j**3 = 0. Calculate j.
1, 3
Let f(z) be the third derivative of -1/120*z**6 + 16/3*z**3 - z**2 + 0 - 4/3*z**4 + z + 1/6*z**5. What is o in f(o) = 0?
2, 4
Let j be 3225/48375 + (-2)/(-45). Let -j*u**3 + 5/3*u**2 - 25/3*u + 125/9 = 0. Calculate u.
5
Let t(u) be the second derivative of -1/140*u**5 + 1/7*u**3 + 0 + 4*u**2 + 1/56*u**4 - 7*u. Let x(a) be the first derivative of t(a). Find r such that x(r) = 0.
-1, 2
Let q(k) be the third derivative of -k**5/120 + 61*k**4/24 - 595*k**3/4 - 9454*k**2. Let q(r) = 0. Calculate r.
17, 105
Find m, given that 64/5*m**3 + 4/5*m**4 + 0 - 76/5*m**2 - 136/5*m = 0.
-17, -1, 0, 2
Factor -2/7*h**2 - 12 - 46/7*h.
-2*(h + 2)*(h + 21)/7
Let h be (-16)/(-10) - 64*(-27)/(-1080). What is b in 0*b**3 + 4/3*b**2 + 0*b - b**4 + h + 1/3*b**5 = 0?
-1, 0, 2
Let v be (-25376)/(-1403) + -18 - (64/(-42))/((-115)/(-15)). Suppose v*w**2 - 2/7*w**4 + 0 - 6/7*w**3 + 6/7*w = 0. Calculate w.
-3, -1, 0, 1
Suppose -5*j + 178 = -4*y, -y = 26*j - 27*j + 36. Let o(n) = -2*n**2 + 69*n - 30. Let m be o(j). Solve -2*r**3 + 2/5*r**m - 14/5*r + 0 - 26/5*r**2 = 0.
-1, 0, 7
Factor 109/2 - 219/2*g - 1/2*g**3 + 111/2*g**2.
-(g - 109)*(g - 1)**2/2
Suppose 0 = -3*q - 6, 2*k + 4*q - 36 - 20 = 0. Suppose 0 = -9*j + 25*j - k. Determine f so that 1/7*f**4 + 2/7*f + 5/7*f**j + 4/7*f**3 + 0 = 0.
-2, -1, 0
Suppose 35*k + 117 = 44*k. Factor 4842*y**3 - 3 - 10*y**2 + k - 4847*y**3 + 5*y.
-5*(y - 1)*(y + 1)*(y + 2)
Let h(u) be the first derivative of u**6/24 + u**5/4 - 10*u**3/3 + 50*u**2 - 1. Let w(r) be the second derivative of h(r). Factor w(p).
5*(p - 1)*(p + 2)**2
Let i = -11/6704 - -19548919/33520. Let 36/5*v**3 - 486/5*v**2 - 6561/5 - 1/5*v**4 + i*v = 0. What is v?
9
Suppose -3*f + 15 = 0, 3*z + 163 = -4*f + 9*f. Let u = z + 49. Factor 5*s + 2*s**2 + s + u*s**2 - 3*s**2.
2*s*(s + 3)
Let y(q) be the third derivative of q**6/900 + 223*q**5/450 + 616*q**4/9 - 12544*q**3/45 + 2515*q**2. Suppose y(m) = 0. What is m?
-112, 1
Suppose -15*g = -58 + 28. Factor -5780 - 17*p**g + 6*p**2 + 6*p**2 - 340*p.
-5*(p + 34)**2
Suppose 5*u = -147 + 42. Let h = 25 + u. Factor 1358*c**3 - 12*c - 9*c**2 - 1356*c**3 + 0 + 3*c**h - 4.
(c - 2)*(c + 1)**2*(3*c + 2)
Let u(v) be the first derivative of -v**7/945 - 7*v**6/540 - 7*v**5/135 - 2*v**4/27 - 15*v**2 - 55. Let l(g) be the second derivative of u(g). Factor l(p).
-2*p*(p + 1)*(p + 2)*(p + 4)/9
Let s(n) be the first derivative of -n**4/5 + 28*n**3/5 - 142*n**2/5 + 204*n/5 + 1006. Let s(h) = 0. Calculate h.
1, 3, 17
Let n(w) be the first derivative of -2*w**3/3 - 3462*w**2 - 5992722*w + 6233. Suppose n(j) = 0. Calculate j.
-1731
Let t(k) be the first derivative of -5*k**4/4 + 5*k**3 + 125*k**2/2 + 105*k + 2241. Suppose t(b) = 0. What is b?
-3, -1, 7
Suppose q + 43 - 54 = -3*f, 4*f = q + 17. Find u, given that 3*u**4 + 4062 - 80*u**3 + u**f + 88*u**2 + 2155*u + 4520 - 2498 + 965*u = 0.
-3, 13
Let d(v) be the first derivative of 2*v**3/9 - 231*v**2 - 56. Factor d(z).
2*z*(z - 693)/3
Factor 4*j**2 - 2*j**2 + 2366 - 3270 - 456*j - 4*j**2.
-2*(j + 2)*(j + 226)
Let t = 69949/9 - 7772. Let v(p) be the second derivative of 0 + 1/54*p**4 + 9*p + 0*p**2 - t*p**3. Determine s, given that v(s) = 0.
0, 3
Let p be (20/(-3))/((-15)/18). Suppose 0 = 2*l - p*l + 18. Solve 0 - u - 10/3*u**2 - u**l = 0 for u.
-3, -1/3, 0
Let r(f) be the second derivative of -f**4/24 - 303*f**3/4 + 455*f**2/2 - 200*f. Factor r(w).
-(w - 1)*(w + 910)/2
Factor -2/5*f**2 - 208/5*f + 218.
-2*(f - 5)*(f + 109)/5
Suppose -32*w + 91 + 15 = -22. Let v(g) be the second derivative of 0*g**2 + 5/12*g**3 + 0 - 10*g - 5/48*g**w. Factor v(s).
-5*s*(s - 2)/4
Let s(d) be the first derivative of d**2 - 1/4*d**4 - 1/3*d**3 + 4 + 0*d. Factor s(a).
-a*(a - 1)*(a + 2)
Let u be ((-40)/30)/((-4)/6). Suppose -2*m + 12 - u = 0. Determine y, given that 25*y**4 + 0*y**5 + 7*y**5 - 50*y**3 