) be the third derivative of -11/2*n**4 - 1/8*n**6 - 4*n**3 + 11*n**2 + 0*n + 5/14*n**7 + 0 - 33/10*n**5. Factor t(x).
3*(x - 2)*(x + 1)*(5*x + 2)**2
Let m(v) be the first derivative of v**6/15 + 4*v**5/25 - 2*v**4/5 - 4*v**3/15 + 3*v**2/5 - 466. Let m(l) = 0. What is l?
-3, -1, 0, 1
Let -115642*v**3 - 14*v + 15*v**4 - 16*v - 55*v**2 + 115627*v**3 + 5*v**5 = 0. What is v?
-3, -1, 0, 2
Determine k, given that 26*k**2 - 27*k - 105 + 145 - 37*k - 2*k**3 = 0.
1, 2, 10
Let t(j) be the first derivative of -j**3/18 - j**2/2 + 12*j - 105. Let t(b) = 0. Calculate b.
-12, 6
Let s = 723004/7 + -103467. Let o = 181 + s. Factor 2/7 - 2/7*t**3 + 2/7*t - o*t**2.
-2*(t - 1)*(t + 1)**2/7
Factor 63/2*n + 15*n**2 + 16 - 1/2*n**3.
-(n - 32)*(n + 1)**2/2
Let r(d) = 3*d + 38. Let l be r(-12). Let t be l*-1*(-1)/(-3)*-3. Determine o, given that -2/5*o**t - 2/5*o**3 + 2/5*o**4 + 2/5*o**5 + 0*o + 0 = 0.
-1, 0, 1
Factor 30*p**4 + 45*p**3 - 25596*p**2 + 5*p**5 - 25595*p**2 + 51211*p**2.
5*p**2*(p + 1)**2*(p + 4)
Let d = -18638 - -18641. Let s be (0 + 1)*0/1. Factor s*o**2 - 4/19*o**d - 2/19*o**4 + 2/19 + 4/19*o.
-2*(o - 1)*(o + 1)**3/19
Let o be (-8 + (-1096)/(-128))/((-3)/(-2)). Let l(x) be the first derivative of 9 + 3/16*x**4 - 3/10*x**5 + 1/2*x**3 + 0*x - o*x**2. Solve l(w) = 0.
-1, 0, 1/2, 1
Let o be (-26)/120 + (-11 + 9)/(-8). Let b(i) be the second derivative of 1/12*i**4 - o*i**6 - i + 0 + 0*i**2 - 1/6*i**3 + 1/20*i**5. Factor b(t).
-t*(t - 1)**2*(t + 1)
Let x be (5/25)/((-112)/(-70)). Factor -1/8*l**2 - x + 1/4*l.
-(l - 1)**2/8
Let t be (-4)/(-42)*-15 - (-28 - -26). Factor 0 - t*z**2 + 4/7*z.
-4*z*(z - 1)/7
Suppose 0 = 9*y - 5*y - 4. Let g(x) = 7*x**4 - 2*x**3 - 25*x**2 + 20*x - 4. Let i(z) = -z**2. Let k(c) = y*g(c) - 4*i(c). Factor k(d).
(d - 1)**2*(d + 2)*(7*d - 2)
Let h(n) be the first derivative of n**8/1260 + n**7/420 - n**5/180 + 23*n**3/3 + 16. Let a(u) be the third derivative of h(u). Factor a(v).
2*v*(v + 1)**2*(2*v - 1)/3
Let w(s) be the second derivative of -4*s**6/5 - 573*s**5/5 - 36097*s**4/8 + 4584*s**3 - 1728*s**2 - 15*s. Find f, given that w(f) = 0.
-48, 1/4
Find n such that -16/9*n + 62/9*n**4 + 244/9*n**3 + 0 + 232/9*n**2 = 0.
-2, 0, 2/31
Let k(j) be the third derivative of -j**2 + 0*j + 11/144*j**4 - 1/18*j**3 + 0 - 1/40*j**5. Let k(q) = 0. What is q?
2/9, 1
Let s(z) be the first derivative of z**5/4 - 17*z**4/16 - 13*z**3/4 - 7*z**2/8 + 5*z/2 - 3. Let s(u) = 0. What is u?
-1, 2/5, 5
Let m(f) = -3*f**3 - 11*f**2. Let r(d) = 7*d**3 + 23*d**2. Let i(k) = 9*m(k) + 4*r(k). Let i(q) = 0. Calculate q.
0, 7
Let i(q) = q**4 + 3*q**3 + 9*q**2 + 7*q + 5. Let j(h) = -h**4 - 4*h**3 - 11*h**2 - 8*h - 6. Let o(n) = 6*i(n) + 5*j(n). Suppose o(w) = 0. Calculate w.
-1, 0, 1, 2
Let s(q) be the third derivative of q**8/56 - 2*q**7/15 + 19*q**6/60 - 4*q**5/15 - 3*q**2 - 11*q. Factor s(y).
2*y**2*(y - 1)**2*(3*y - 8)
Let o be (-4)/(-4) - -1*3. Let y(f) = 10*f**4 - 13*f**3 + 3*f**2 - 4. Let p(i) = -11*i**4 + 14*i**3 - 3*i**2 + 5. Let r(s) = o*p(s) + 5*y(s). Factor r(k).
3*k**2*(k - 1)*(2*k - 1)
Find q such that 0 - 1/2*q**4 + 15/2*q**2 + 9*q - 2*q**3 = 0.
-6, -1, 0, 3
Let s(k) be the third derivative of k**8/21 - 34*k**7/105 - 2*k**6/3 + 22*k**5/15 + 8*k**4/3 - 10*k**3/3 + 2*k**2 + 31*k. Solve s(f) = 0.
-1, 1/4, 1, 5
Let f(a) = -a**2 - 7*a + 6. Let l be f(-7). Let q be 9/36*-4 - l/(-2). Factor -2*b**q - 1/2 + 2*b.
-(2*b - 1)**2/2
Let b be 5050/8250 + 0 + 12/(-22). Let t(r) be the second derivative of 1/25*r**5 + b*r**4 - 8*r + 0*r**2 + 0*r**3 + 0. What is f in t(f) = 0?
-1, 0
Let w(y) be the second derivative of -y**7/1260 + y**6/720 + 5*y**2 + y. Let g(f) be the first derivative of w(f). Factor g(d).
-d**3*(d - 1)/6
Let i(u) be the third derivative of u**8/84 - 2*u**7/35 - 12*u**2 - 3*u. Let i(g) = 0. Calculate g.
0, 3
Suppose 484/9*f - 2/9*f**4 - 40/9*f**3 - 154/9*f**2 + 0 = 0. Calculate f.
-11, 0, 2
Let m(s) be the second derivative of -2*s**6/15 + 2*s**5/5 + s**4/3 - 4*s**3/3 - 2*s - 2. Factor m(g).
-4*g*(g - 2)*(g - 1)*(g + 1)
Let s = -3390 + 3393. Solve -8/7*z - 6/7*z**s + 10/7*z**4 + 0 - 24/7*z**2 = 0.
-1, -2/5, 0, 2
Let q(l) be the second derivative of 5*l**4/6 - 14*l**3/3 + 8*l**2 - 129*l. Solve q(h) = 0.
4/5, 2
Let f(a) be the second derivative of a**7/126 - a**6/90 - a**5/20 + a**4/36 + a**3/9 + 212*a. What is r in f(r) = 0?
-1, 0, 1, 2
Suppose 25 = o + 4*r, -2*o + 56 = 5*r + 12. Let o*d**3 + 3 + 0*d + 18*d**3 - 3*d**2 - 36*d**3 + d = 0. What is d?
-3, -1, 1
Suppose 0 = 5*t + 2*r - 6, 5*t = 3*r + r + 18. Factor -13 + 13 - 6*g**t - 2*g**3 + 0*g**3.
-2*g**2*(g + 3)
Suppose 0 = 5*j - 2*r + 5*r - 3, 3 = -j + 3*r. Let v(l) be the second derivative of -5/6*l**4 + 1/4*l**5 + 0*l**3 - 13*l + j*l**2 + 0. Solve v(s) = 0 for s.
0, 2
Let q(t) be the first derivative of t**4 + 4*t**3 - 2*t**2 - 12*t + 115. Solve q(m) = 0 for m.
-3, -1, 1
Let t(a) be the first derivative of -a**5/50 + a**4/15 - 12*a - 4. Let p(y) be the first derivative of t(y). Let p(u) = 0. Calculate u.
0, 2
Factor -4 - 380*k**2 + 175*k**3 + 4 - 58*k - 15*k**4 + 238*k.
-5*k*(k - 9)*(k - 2)*(3*k - 2)
Let j(d) be the third derivative of 5*d**8/1008 - 34*d**7/315 + 277*d**6/360 - 149*d**5/90 + d**4/6 + 4*d**3 + 5*d**2 - 2. Solve j(s) = 0.
-2/5, 1, 6
Let f(o) be the second derivative of -1/20*o**4 + 0*o**2 + 2*o - 1/100*o**5 - 1/15*o**3 + 3. Solve f(x) = 0 for x.
-2, -1, 0
Let i(u) be the first derivative of u**4/42 + u**3/21 + 15*u - 16. Let p(s) be the first derivative of i(s). Solve p(o) = 0 for o.
-1, 0
Let y(d) be the third derivative of -d**5/150 - d**4/20 + 81*d**2. Find x such that y(x) = 0.
-3, 0
Let l be (11 - (-120)/(-12))/((-4)/(-18)). Factor 0 - 3*y**2 - 3/2*y**3 + l*y.
-3*y*(y - 1)*(y + 3)/2
Let p be (-45)/(-20) + 1/(-4). Suppose -3*s = -2*y + 1 + p, -2*y + s = -5. Solve 2/11*a**y - 2/11*a - 2/11*a**2 + 2/11 = 0.
-1, 1
Let j(y) be the first derivative of 3*y**5/40 + y**4/2 - 3*y**3/4 - 27*y**2/2 + 16*y - 40. Let k(x) be the first derivative of j(x). Factor k(r).
3*(r - 2)*(r + 3)**2/2
Let f(u) be the second derivative of -2*u**7/21 + 2*u**6/5 - 2*u**5/5 - 2*u - 5. Factor f(v).
-4*v**3*(v - 2)*(v - 1)
Let n(w) be the third derivative of w**6/900 + w**5/150 + 3*w**3/2 - 3*w**2. Let z(u) be the first derivative of n(u). Factor z(m).
2*m*(m + 2)/5
Suppose -4*d - 8 = 0, -2*i - 9*d + 6 = -12*d. Factor -1/2*y**3 + i*y**2 - 1/2*y**5 + 0*y + 0 - y**4.
-y**3*(y + 1)**2/2
Let h(q) = -3*q + 9. Let w be h(4). Let j(s) = s**3 + 2*s**2 - 5*s - 4. Let d be j(w). Factor 2*n - n**3 - d*n**3 + n**3 + 0*n**3.
-2*n*(n - 1)*(n + 1)
Let d(v) = -2*v**2 - 2*v + 1. Let w(a) = a**3 + 105*a**2 + 2503*a - 2603. Let k(q) = 6*d(q) + 3*w(q). Factor k(i).
3*(i - 1)*(i + 51)**2
Let y(w) = 8*w**2 - 7*w - 1. Let f(z) = 2*z**2 - 2*z. Let b(a) = -9*f(a) + 2*y(a). Factor b(n).
-2*(n - 1)**2
Let q = 787/1652 + -45/236. Factor -q*g**2 + 2/7 + 0*g.
-2*(g - 1)*(g + 1)/7
Let u = -117/16 - -1771/240. Let p(g) be the third derivative of -1/3*g**4 - u*g**5 - 4*g**2 + 0*g + 2*g**3 + 0. Factor p(y).
-4*(y - 1)*(y + 3)
Let n(z) be the second derivative of z**6/195 - 9*z**5/130 + 9*z**4/26 - 31*z**3/39 + 12*z**2/13 - 995*z. Let n(m) = 0. What is m?
1, 3, 4
Suppose 2*k + 4*n - 40 - 2 = 0, -5*k + 3*n = -144. Let f be -3 + k/(-12) + 4 + 2. Solve -1/2 + 3/4*r + 1/4*r**4 + 1/4*r**2 - f*r**3 = 0.
-1, 1, 2
Let i = 3/359 - -344/1795. Let i*p**3 - 4/5*p + 0 + 0*p**2 = 0. What is p?
-2, 0, 2
Let m(x) = -5*x - 72 + x + 28 + 0*x. Let f be m(-11). What is k in -1/5*k**3 + f + 0*k + 2/5*k**2 = 0?
0, 2
Let d(u) = u**2 + u + 2. Let x(f) = f - 2*f + 76*f**2 - 37*f**2 - 40*f**2 - 1. Let q(b) = 3*d(b) + 6*x(b). Factor q(v).
-3*v*(v + 1)
Let k(z) be the third derivative of -z**6/180 - z**5/45 + z**4/36 + 2*z**3/9 - 939*z**2. Factor k(n).
-2*(n - 1)*(n + 1)*(n + 2)/3
Let 0*h**2 - 4*h**2 - 110*h - 54*h = 0. Calculate h.
-41, 0
Let m = -106/39 + 820/273. Solve 4/7 + 0*n**2 - m*n**3 + 6/7*n = 0.
-1, 2
Let i(y) be the second derivative of -22*y - 729/2*y**2 - 1/20*y**5 - 9/4*y**4 - 81/2*y**3 - 1. Let i(z) = 0. What is z?
-9
Find j such that 2*j - j**4 - 3*j**4 + 12*j**4 + 2*j**5 + 12*j**3 + 8*j**2 = 0.
-1, 0
Let h(j) be the third derivative of j**6/420 - 4*j**5/105 - j**4/84 + 8*j**3/21 - 506*j**2. Factor h(z).
2*(z - 8)*(z - 1)*(z + 1)/7
Determine x so tha