 derivative of z(i). Factor u(j).
2*j*(j - 2)/3
Let r = -157 + 157. Let t be (1*(r - 16))/(1 + -8). Find u, given that -16/7*u**4 + 8/7*u**3 + 0 + 4/7*u + t*u**2 - 12/7*u**5 = 0.
-1, -1/3, 0, 1
Let x = -3059 - -39771/13. What is f in -2/13*f + 6/13*f**2 - x + 2/13*f**3 - 2/13*f**4 = 0?
-1, 1, 2
Let b(d) = 2*d + 10. Let a(n) = 2*n + 10. Let m(x) = -6*a(x) + 5*b(x). Let k be m(-7). Factor 4 + k - 13 - 8*p + 8*p**3 + 6*p**2 - 3 + 2*p**4.
2*(p - 1)*(p + 1)*(p + 2)**2
Let o(j) be the first derivative of -j**3 + 117*j**2/2 + 120*j + 353. Factor o(s).
-3*(s - 40)*(s + 1)
Suppose 42*b - 31*b = 22. Let f(k) be the third derivative of 0 - 1/300*k**5 - 1/30*k**3 + k**b - 1/60*k**4 + 0*k. What is z in f(z) = 0?
-1
Let d be (-2)/(-5) - (-92)/20. Suppose -d*t + 12 = -38. Factor -t*s**2 + 3*s**5 + 3*s**2 - 18*s**5 - 3*s**3 + 24*s**4 + s**2.
-3*s**2*(s - 1)**2*(5*s + 2)
Let v = 46 - 43. Suppose 15 = -5*o + 5*c, -4*o - 5 + 14 = 3*c. What is m in 2/3*m**4 + 0*m**2 - 4/3*m**v + 0*m + o = 0?
0, 2
Let z be ((-913)/(-21) - 3)*6/(-4). Let a = z - -61. Factor a*q - 8/7*q**3 - 6/7*q**2 + 0.
-2*q*(q + 1)*(4*q - 1)/7
Let l(r) = -r**3. Let t(p) = -2*p**3 - 50*p**2 + 49*p. Let w(q) = -6*l(q) + 2*t(q). Find m such that w(m) = 0.
0, 1, 49
Let k(w) be the second derivative of w**4/4 + 15*w**3 + 262*w. Factor k(q).
3*q*(q + 30)
Suppose 3*b + 57 = 5*f, 0 = f - 3*b - 3 - 6. Let n be -6*1/(-4)*16/f. Factor -4/3*q**4 - 2/3*q**n - 5/3*q**3 + 0*q + 0 - 1/3*q**5.
-q**2*(q + 1)**2*(q + 2)/3
Determine s, given that -14/3*s - s**2 + 5/3 = 0.
-5, 1/3
Let f(u) be the first derivative of 2/3*u**3 - 1/4*u**2 - 3/4*u**4 + 2/5*u**5 - 2 + 0*u - 1/12*u**6. Find h such that f(h) = 0.
0, 1
Let h(v) be the second derivative of v**6/960 - v**5/96 + v**4/64 - 17*v**3/6 - 6*v. Let i(d) be the second derivative of h(d). Factor i(x).
(x - 3)*(3*x - 1)/8
Let k(h) = 2 - 8*h**2 - 1 + 9*h**2 + h. Let i be k(-2). Find v, given that 5*v + 12*v**3 + 4*v**2 + 2 + 0*v**2 - 11*v**i = 0.
-2, -1
Let y be (10/4)/((-99)/(-66)). Let t(n) be the first derivative of -n - 11/4*n**2 + 5/2*n**4 - 3/4*n**6 + 6/5*n**5 + 2 - y*n**3. Suppose t(h) = 0. Calculate h.
-1, -1/3, 1, 2
Let l(u) be the third derivative of u**8/84 - 2*u**6/15 - 2*u**5/15 + u**4/2 + 4*u**3/3 - 244*u**2. Solve l(x) = 0.
-1, 1, 2
Let f = -48 - -52. Let m be (-210)/(-24) + 3/(-4). Determine l, given that -m*l**2 - 2*l**f + 3/2*l + 1 + 15/2*l**3 = 0.
-1/4, 1, 2
Let u be (308/6)/(5/(-45)*-1). Suppose -t - u + 464 = 0. Factor 0 - 2/11*q**3 + 4/11*q + 2/11*q**t.
-2*q*(q - 2)*(q + 1)/11
Factor 5*k**2 + 0 - 44/5*k**3 - 2/5*k + 21/5*k**4.
k*(k - 1)**2*(21*k - 2)/5
Let x(o) = -2*o**4 - 5*o**3 - o - 4. Let g(h) = -h**3 - 4*h**4 - h**4 - 7 - h + 6 + 4*h**4. Let n(y) = 3*g(y) - x(y). Solve n(f) = 0.
-1, 1
Let b be 23/3 - 16/(-48). Factor 0 + 17*k - 4*k**2 - b + 2 - k**2.
-(k - 3)*(5*k - 2)
Let i(w) = -119*w**2 - 592*w + 15. Let s be i(-5). Factor 0 + s*b**2 + 0*b + 4/9*b**3.
4*b**3/9
Let d be (435/(-290))/((-3)/1)*72. Factor d*w + 0 + 1/4*w**3 + 6*w**2.
w*(w + 12)**2/4
Let l(i) = i - 3. Suppose -6 = 5*n - 31. Let h be l(n). What is u in -6*u**2 - 3 + 15 + 4*u**h + 12*u**2 + 34*u = 0?
-3, -2/5
Suppose 1752*k = 1777*k - 50. Factor 1/3*j**k - 1/3 + 0*j.
(j - 1)*(j + 1)/3
Factor -2*r**4 + 36/7*r**3 + 2/7*r**5 - 40/7*r**2 + 0 + 16/7*r.
2*r*(r - 2)**3*(r - 1)/7
Let b(w) be the third derivative of -4*w**7/15 - 23*w**6/6 - 22*w**5/15 + 8*w**4/3 + 44*w**2. Let b(j) = 0. Calculate j.
-8, -1/2, 0, 2/7
Let 3561 + i - 1782 - i**2 - 1777 = 0. Calculate i.
-1, 2
Let b(v) be the first derivative of v**6/27 - 2*v**5/9 + 7*v**4/18 + 2*v**3/27 - 8*v**2/9 + 8*v/9 + 3. Solve b(s) = 0 for s.
-1, 1, 2
Suppose -4*p = -3*g + 2*g + 3, 0 = -g + 2*p + 3. Find o, given that -9*o**2 - 16*o**3 - 3*o**4 - 27*o - 11*o**3 + 42*o**g = 0.
-1, 0, 3
Let v(a) be the third derivative of -a**6/300 - 2*a**5/75 + a**4 + 96*a**3/5 + a**2 - 154. Let v(n) = 0. Calculate n.
-6, 8
Let l(x) = x**3 - 12*x**2 + 9*x + 25. Let h be l(11). Solve 12*m**2 - 4*m**5 - 4*m**4 + m**5 + m**4 + 12*m**h = 0.
-2, -1, 0, 2
Suppose 0 = -2*c + 5 + 3. Solve 0*x**3 + 4 - 2*x + 9*x**2 - x + 3*x**3 - 3*x**c - 10 = 0.
-1, 1, 2
Let o(n) be the second derivative of -n**4/16 + 45*n**3/4 - 6075*n**2/8 + 179*n. Factor o(t).
-3*(t - 45)**2/4
Suppose 22*i + 4*i = 4966. Let m = 193 - i. Let -1/3*c**m - 16/3 - 8/3*c = 0. Calculate c.
-4
Suppose -49 + 9 = 5*u. Let i be 5/((-20)/u) + 1. Solve -13*l + 3 + 2 + i*l**2 + 22 - 5*l = 0.
3
Factor -8*i - 5*i**2 + 330 - 70*i - 33*i - 44*i.
-5*(i - 2)*(i + 33)
Let p(l) be the first derivative of -3*l**3 - 9*l**2/2 + 7*l - 2. Let x(n) = 6*n**2 + 6*n - 5. Let f(v) = -5*p(v) - 7*x(v). Solve f(d) = 0 for d.
-1, 0
Let t = 2 + 0. Factor -7/6*v**t - 2/3*v + 1/2.
-(v + 1)*(7*v - 3)/6
Let k(b) be the third derivative of -13/690*b**5 + 0*b - 1/2415*b**7 - 4/69*b**3 + 0 + 1/23*b**4 + 1/230*b**6 - 11*b**2. Find s such that k(s) = 0.
1, 2
Let j(x) be the third derivative of 0 - 1/112*x**7 - 1/160*x**5 + 1/32*x**4 - 1/40*x**6 - 12*x**2 + 0*x**3 + 0*x. Factor j(c).
-3*c*(c + 1)**2*(5*c - 2)/8
Let z = -215 - -219. Let d(k) be the first derivative of 0*k - 1/10*k**4 + 2/15*k**2 - z - 2/45*k**3. Factor d(h).
-2*h*(h + 1)*(3*h - 2)/15
Let x(q) be the first derivative of -50 - 1/4*q**3 - 3/16*q**2 + 3/32*q**4 + 3/4*q. Factor x(i).
3*(i - 2)*(i - 1)*(i + 1)/8
Let a be (-190)/665*7/(-12). Factor 1/6*g**2 - a*g**3 + 0 + g.
-g*(g - 3)*(g + 2)/6
Suppose -280*h - 13 + 1 = -286*h. Factor -18 - 1/2*p**h - 6*p.
-(p + 6)**2/2
Let m be ((-24)/15)/((-4)/10). Suppose 0*y**4 - 6*y**4 - 15*y**3 + 4*y**4 - 3*y**m - 15*y**2 - 5*y = 0. What is y?
-1, 0
Factor 2*g - 16 - 26*g**2 + 8 + 27*g**2.
(g - 2)*(g + 4)
Let m be 0 + (46/(-12) - -4). Let u(w) be the second derivative of -7*w + m*w**4 + 0*w**2 + 0*w**3 + 1/10*w**5 + 0. Let u(r) = 0. What is r?
-1, 0
Let p(i) be the third derivative of 0*i**3 - 1/630*i**7 + 0 + 0*i**4 + 5*i**2 - 1/180*i**5 + 0*i + 1/180*i**6. Factor p(b).
-b**2*(b - 1)**2/3
What is i in -49/2*i**4 + 1778*i**3 + 18288*i - 32762*i**2 - 2592 = 0?
2/7, 36
Suppose -30*c - 15 = -33*c. Let g(d) be the first derivative of 0*d**4 + 0*d + c + 1/4*d**2 - 1/5*d**5 + 1/3*d**3 - 1/12*d**6. Factor g(a).
-a*(a - 1)*(a + 1)**3/2
Let x(o) be the first derivative of 1/6*o**4 + 23 + 0*o + 0*o**2 + 4/9*o**3. Factor x(u).
2*u**2*(u + 2)/3
Suppose -24*u + 74*u**3 - 141*u**3 + 72*u**3 + 3*u**2 - 17*u**2 = 0. Calculate u.
-6/5, 0, 4
Solve 8/7 + 404/7*q**2 + 412/7*q = 0 for q.
-1, -2/101
Let f(n) be the first derivative of -n**8/10080 + n**7/1008 + 8*n**3/3 + 13. Let z(c) be the third derivative of f(c). Determine t, given that z(t) = 0.
0, 5
Let o(w) = w**3 - 24*w - 2. Let s be o(5). Determine l, given that 0*l - 1/5*l**2 + 2/5*l**4 + 1/5*l**s + 0 = 0.
-1, 0, 1/2
Factor -2 + 45*q**2 + 12*q - 7 - 42*q**2 - 3 - 3*q**3.
-3*(q - 2)*(q - 1)*(q + 2)
Let b(h) be the first derivative of 2*h**3/45 + 23*h**2/15 + 28*h/5 + 481. Factor b(s).
2*(s + 2)*(s + 21)/15
Let v(i) = 1256*i - 13813. Let m be v(11). Determine q, given that 0 + 0*q + m*q**3 - 2/3*q**2 = 0.
0, 2/9
Let f(c) = -32*c**3 + 6*c**2 + 7*c - 2. Let q be f(-2). Let h be (1/(-4) - (-50)/q)*-3. Find l, given that 0 + 0*l + h*l**5 + 0*l**3 - 2/11*l**4 + 0*l**2 = 0.
0, 1
Let j(x) be the first derivative of -2/33*x**3 + 2/55*x**5 - 1/11*x**2 + 1/22*x**4 + 0*x - 28. Solve j(l) = 0.
-1, 0, 1
Suppose 0 = 4*a - 58 + 46. Let j(o) be the second derivative of 0*o**2 + 0 - 1/24*o**a + 1/96*o**4 + 5*o + 3/160*o**5. Factor j(z).
z*(z + 1)*(3*z - 2)/8
Let k(j) be the third derivative of j**6/280 + 17*j**5/140 - 41*j**4/56 - 57*j**3/14 - j**2 - 354. Solve k(o) = 0.
-19, -1, 3
Determine a, given that 34/3*a**2 - 54 + 2/3*a**3 + 42*a = 0.
-9, 1
Find i such that i**2 + 13*i**2 + 54 - 3*i**5 - 94*i**2 - 18*i**3 + 32*i**2 + 18*i**4 + 45*i = 0.
-1, 2, 3
Let n(k) be the second derivative of 0 + 34/3*k**3 + 1/5*k**5 - 16*k**2 - 10/3*k**4 + 8*k. Factor n(j).
4*(j - 8)*(j - 1)**2
Suppose -5*h + 5 = w, 4*w = h + w - 17. Factor -6*k**4 + 6*k**h + 3*k**5 + k**2 + 0*k**5 - k**2 - 3*k.
3*k*(k - 1)**3*(k + 1)
Let w(c) = c**2 + 6*c - 1. Let h be w(-6). Let q be -3*3*(h - (-86)/126). Factor q*o + 4/7*o**2 + 16/7.
4*(o + 1)*(o + 4)/7
Let u(m) be the second derivative of m**8/210 - m**7/175 - m**6/300 - 15*m**2/2 + 14*m. Let f(b) 