(a/75)/((-1)/10). Suppose j**2 + 2 + 26*j - 1 - n*j = 0. Calculate j.
-1
Let j(g) be the third derivative of g**6/1260 + g**5/210 - 5*g**3/2 + 10*g**2. Let p(x) be the first derivative of j(x). Factor p(a).
2*a*(a + 2)/7
Suppose 0 = -4*f - 2*c + 2, 0 = f + 2*f - 4*c - 18. Suppose -3*q = -7 - f. Find m, given that -8/9*m**4 - 2*m**q - 2/9*m + 0 - 4/3*m**2 = 0.
-1, -1/4, 0
Factor -25 + 49 + 4*k + k**2 - 21.
(k + 1)*(k + 3)
Factor 11/4*u**2 + 1/4*u**3 + 15 - 14*u.
(u - 2)**2*(u + 15)/4
Let r(x) = -x**2 + 34*x - 203. Let f be r(26). Let m(k) be the third derivative of 0*k + 13*k**2 + 0 - 1/3*k**4 + 2/3*k**3 + 1/15*k**f. Factor m(w).
4*(w - 1)**2
Let u(l) be the third derivative of l**6/780 + 7*l**5/130 + 10*l**4/13 + 100*l**3/39 + 6*l**2 - 7*l. Let u(s) = 0. Calculate s.
-10, -1
Let f(y) be the second derivative of -39*y + 0 + 1/6*y**3 - 1/15*y**6 + 0*y**4 + 0*y**2 - 3/20*y**5. Factor f(z).
-z*(z + 1)**2*(2*z - 1)
Let q(d) be the second derivative of d**4/36 - 19*d**3/9 + 361*d**2/6 + 111*d. Factor q(l).
(l - 19)**2/3
Let y be 0/((22 + -6)/(-4)). Let j(r) be the third derivative of 0*r**3 + 0*r - 1/168*r**4 + 0*r**5 + 3*r**2 + 1/840*r**6 + y. Factor j(z).
z*(z - 1)*(z + 1)/7
Let g(l) be the third derivative of -l**5/60 + 5*l**4/12 - 154*l**2. Factor g(q).
-q*(q - 10)
Let m(f) be the first derivative of f**6/39 - 2*f**5/65 - f**4/26 + 2*f**3/39 - 54. Factor m(t).
2*t**2*(t - 1)**2*(t + 1)/13
Let p(c) be the first derivative of -2*c**2 + 1/6*c**4 - 1/3*c**3 - 5 - 5*c. Let m(y) be the first derivative of p(y). Suppose m(d) = 0. What is d?
-1, 2
Let g = 129 + -1417/11. Let s = -18635/11 + 1695. Factor s*k**2 - g + 6/11*k**3 + 2/11*k.
2*(k + 1)**2*(3*k - 1)/11
Let s(u) = 2*u**2 - u - 2. Let i be s(-2). Suppose 0 = o - 11 + i. Factor -3/2*l**4 + 3*l**3 + 0*l**2 - o*l + 3/2.
-3*(l - 1)**3*(l + 1)/2
Let l be (1192/(-160) - -8) + (3/12 - 0). Factor -1/5*k**2 + l + 4/5*k - 1/5*k**3.
-(k - 2)*(k + 1)*(k + 2)/5
Let h = 1060/693 + -10/99. Suppose -6/7*q - h*q**2 - 2/7*q**3 + 18/7 = 0. Calculate q.
-3, 1
Let b = -662/39 - -1675/78. Find s such that 9/2*s**3 + 4 - 1/2*s**4 - 7/2*s**2 - b*s = 0.
-1, 1, 8
Let p(f) be the first derivative of -3*f**4/28 - 4*f**3/7 + 3*f**2/14 + 12*f/7 - 4. Factor p(v).
-3*(v - 1)*(v + 1)*(v + 4)/7
Let i(h) = -3*h**3 + 10*h**2 - 7*h - 50. Let n(s) = -13*s**3 + 41*s**2 - 29*s - 200. Let r(k) = 9*i(k) - 2*n(k). What is l in r(l) = 0?
-2, 5
Solve -104 - 128/3*n - 50/9*n**2 - 2/9*n**3 = 0.
-13, -6
Let m be (-2)/16*10/(-60). Let y(d) be the third derivative of 1/840*d**7 + m*d**4 - 5*d**2 - 1/80*d**5 + 0*d**3 + 0 + 0*d**6 + 0*d. Factor y(w).
w*(w - 1)**2*(w + 2)/4
Let b(g) = g**2 + 11*g + 20. Let v(y) = -y**2 + 9*y - 17. Let c be v(8). Let h be b(c). Factor -1/5*n**h - 2/5*n - 1/5.
-(n + 1)**2/5
Let k(h) = h**5 + h**4 - h**3 + h**2 + h. Let n(d) = -d**5 + 5*d**4 + 10*d**3 - 18*d**2 - 2*d. Let t(g) = -4*k(g) - 2*n(g). Find c, given that t(c) = 0.
-4, 0, 1
Determine p so that -124/9*p**2 + 0 - 2/9*p**3 - 1922/9*p = 0.
-31, 0
Let g(k) = -k**2 + 32*k - 247. Let n be g(13). Determine a so that 2/5*a**3 + 2/5*a**5 + 0*a + 0*a**2 + n - 4/5*a**4 = 0.
0, 1
Let w(u) = 62*u - 5702. Let k be w(92). Let 2/3*p**4 + 0 - 2/3*p + 2*p**2 - k*p**3 = 0. Calculate p.
0, 1
Let c(s) be the third derivative of -s**6/1440 + s**5/120 + 5*s**3/6 - 3*s**2. Let w(f) be the first derivative of c(f). Determine b, given that w(b) = 0.
0, 4
Let b(i) be the first derivative of -i**6/24 - 2*i**5/5 - 3*i**4/2 - 8*i**3/3 - 2*i**2 + 283. Solve b(s) = 0 for s.
-2, 0
Suppose 11*r + 5 = 6*r. Let x be (r/(-3))/(70/21 - 2). Find y such that 0*y + x - 1/4*y**2 = 0.
-1, 1
Let k(c) be the third derivative of -2*c**7/945 + 7*c**6/270 - 4*c**5/45 + 2*c**2 + 67. Factor k(v).
-4*v**2*(v - 4)*(v - 3)/9
Let u(y) be the third derivative of -y**7/63 + y**6/30 + 3*y**5/10 + 4*y**4/9 + y**2 + 16*y. Let u(i) = 0. Calculate i.
-1, 0, 16/5
Let b(u) = 2*u**2 + 1. Let a(f) = -7*f**2 + 66*f + 58. Let k(d) = a(d) + 5*b(d). What is o in k(o) = 0?
-21, -1
Let m(b) be the first derivative of -b**4/6 - 8*b**3/9 - 5*b**2/3 - 4*b/3 - 44. Let m(t) = 0. What is t?
-2, -1
Let w be (((-126)/27)/(-14))/(1 - 0). Factor w*s + 0 + 1/6*s**3 + 1/2*s**2.
s*(s + 1)*(s + 2)/6
Determine p, given that -40/11 + 112/11*p - 74/11*p**3 - 46/11*p**4 + 54/11*p**2 - 6/11*p**5 = 0.
-5, -2, 1/3, 1
Let y(o) be the first derivative of -2*o**7/525 - 11*o**6/200 - 2*o**5/75 + 3*o**2 - 5*o + 24. Let p(m) be the second derivative of y(m). What is z in p(z) = 0?
-8, -1/4, 0
Factor 752 + 48*z**2 - 4*z**3 - 752.
-4*z**2*(z - 12)
Let o(i) = -i**3 - 3*i**2 - 2*i - 2. Let g be o(-4). Let w = g + -18. Factor -h + 3*h**2 + 3*h - 3*h**w - 2*h.
-3*h**2*(h - 1)*(h + 1)
Let s be (-21)/(-12) - 4/(-16). Let c be (-1 + (-4)/s)/(-1). Let -5*w**c - 9*w**2 - 6*w - 22 - w + 0*w**4 - w**4 + 20 = 0. Calculate w.
-2, -1
Determine h so that -22*h**2 + 5 - 75*h + 4 + 56 + 32*h**2 = 0.
1, 13/2
Suppose 0 = 1359*o - 1301*o - 70 - 46. Factor 0 - 2*v - 2/3*v**4 + 2/3*v**o + 2*v**3.
-2*v*(v - 3)*(v - 1)*(v + 1)/3
Let u = 2130 - 2130. Determine m, given that -1/5*m**5 - 12/5*m + u*m**4 + 9/5*m**3 - 4/5*m**2 + 0 = 0.
-3, -1, 0, 2
Solve 4*g + 2/3*g**3 + 0 + 10/3*g**2 = 0 for g.
-3, -2, 0
Let w(b) = -3*b**2 - 13*b + 3. Let r = 78 - 73. Let f(i) = -2*i**2 - 12*i + 4. Let k(d) = r*f(d) - 4*w(d). Factor k(v).
2*(v - 2)**2
Suppose 3*k + 14 = 5*u + 13, -5*k = -u - 13. Determine i, given that -4/11 + 28/11*i**k + 18/11*i - 32/11*i**2 - 12/11*i**4 + 2/11*i**5 = 0.
1, 2
Let f(z) = z**2 + 11*z + 34. Let d be f(-6). Let r(w) be the third derivative of -d*w**2 + 0 - 1/96*w**4 + 0*w - 1/240*w**5 + 1/12*w**3. Factor r(i).
-(i - 1)*(i + 2)/4
Let w(j) be the third derivative of -j**5/12 - 35*j**4/24 - 10*j**3 - 14*j**2 - j. Determine q, given that w(q) = 0.
-4, -3
Suppose -2*f - 21 = t, 4*t - 82 = 5*f + 3. Let c = -10 - f. Factor 8*g + 9*g**3 + 0*g - c*g**4 - 20*g.
-3*g*(g - 2)**2*(g + 1)
Suppose 13*m = 9*m. Suppose 2*b - 3 - 3 = m. Determine r so that 3*r**3 + 0*r**4 + r**b - 2*r**4 - 2*r**3 = 0.
0, 1
Let t(k) = -2*k**2 - 53*k + 29. Let c(n) = -n**2 - 27*n + 16. Let j(m) = 13*c(m) - 6*t(m). Let j(b) = 0. Calculate b.
-34, 1
Let d(q) be the second derivative of -4*q**7/273 - 17*q**6/195 - 4*q**5/65 + 23*q**4/78 + 2*q**3/13 + 15*q - 2. Find n, given that d(n) = 0.
-3, -2, -1/4, 0, 1
Let r(z) be the first derivative of -4/55*z**5 + 1/22*z**4 + 4/33*z**3 + 0*z + 11 - 1/33*z**6 + 0*z**2. Find u such that r(u) = 0.
-2, -1, 0, 1
Let s = -1/92 - -6/23. Let -1/2 - s*o**2 - 3/4*o = 0. Calculate o.
-2, -1
Let v(y) be the first derivative of -5*y**6/6 + 5*y**5 - 15*y**4/2 - 10*y**3/3 + 35*y**2/2 - 15*y - 157. Factor v(n).
-5*(n - 3)*(n - 1)**3*(n + 1)
Let x(c) be the second derivative of c**4/32 + 19*c**3/12 - 13*c**2/4 + 52*c + 1. Factor x(t).
(t + 26)*(3*t - 2)/8
Let v = -237/50 + 181/25. Factor v*p + 0 - 1/2*p**2.
-p*(p - 5)/2
Let k(q) be the third derivative of q**8/112 - 3*q**7/70 + q**6/40 + 3*q**5/20 - q**4/4 - 25*q**2 + 2. Factor k(i).
3*i*(i - 2)*(i - 1)**2*(i + 1)
Let n(f) = 2*f**2 + 168*f - 12. Let m(t) = -2*t**2 - 164*t + 9. Let c(h) = -4*m(h) - 3*n(h). Factor c(s).
2*s*(s + 76)
Let y(u) = -u + 3. Let f be y(0). Let m(r) = r + 0*r + f*r**2 + 4*r - 4*r**2. Let g(a) = -2*a**2 + 12*a. Let d(s) = 5*g(s) - 12*m(s). Factor d(b).
2*b**2
Let o(y) be the second derivative of 3*y**5/80 - 3*y**4/8 + 3*y**3/8 + 15*y**2/4 - 161*y. Factor o(n).
3*(n - 5)*(n - 2)*(n + 1)/4
Let d(f) be the third derivative of 5*f**8/336 + f**7/14 - f**6/24 - f**5/4 + 47*f**2. Factor d(u).
5*u**2*(u - 1)*(u + 1)*(u + 3)
Let l(z) = z**2 + z + 2. Let g(a) = -20*a**2 + 45*a + 195. Let o(j) = g(j) + 25*l(j). Factor o(u).
5*(u + 7)**2
Let n(x) = 15*x**2 - 8*x - 2. Let h(a) = 15*a**2 - 9*a - 3. Suppose 6*w - 20 = -2. Let p(v) = w*n(v) - 2*h(v). Factor p(k).
3*k*(5*k - 2)
Let s(v) = 0 + 0 + 2 - v**2 - 6*v. Let z be s(-6). Solve -2*j + 2 + j**z + 5 - 7 = 0.
0, 2
Suppose 15 = 3*k + 3*f, -9*k + 4*k = -4*f - 7. Let 2*n**5 - 2*n + 2*n**4 - k*n**2 + 2*n**4 - n**2 + 0*n = 0. Calculate n.
-1, 0, 1
Let y(t) = 3*t**3 + t**2 + t + 1. Let p(z) = 28*z**3 + 43*z**2 + 218*z - 1435. Let f(b) = -4*p(b) + 36*y(b). Suppose f(n) = 0. Calculate n.
-19, 4
Let y(m) = -26*m**2 + 32*m + 16. Let k(q) = 55*q**2 - 64*q - 32. Let o(r) = 2*k(r) + 