*3 + 4/19 - 10/19*j**4 - 18/19*j**2 + 2/19*j.
-2*(j + 1)**3*(5*j - 2)/19
Let o = -32/7 + -13/14. Let v = o - -6. Factor 1/4 + 1/4*n**2 - v*n.
(n - 1)**2/4
Let m be (0 - -2) + (-15)/(-15). Let d(y) be the second derivative of y - 1/6*y**2 + 1/3*y**4 - 2/3*y**5 + 1/9*y**m + 0 + 16/45*y**6. Factor d(a).
(2*a - 1)**3*(4*a + 1)/3
Let r be ((-1500)/765)/(4/(-18)). Factor -250/17*z**3 + 2/17 + r*z**2 - 30/17*z.
-2*(5*z - 1)**3/17
Let m(r) = -38*r. Let w be m(2). Let l = w - -230/3. Factor 1/3 - l*v + 1/3*v**2.
(v - 1)**2/3
Let o be (-2)/10*(-8 + -5 + 5). Factor -2/5*y + 4/5*y**2 + o*y**4 + 0 + 14/5*y**3.
2*y*(y + 1)**2*(4*y - 1)/5
Suppose -6*k + 9 = -3. Factor 0*g**k + 2/3*g**3 + 0 - 2/3*g.
2*g*(g - 1)*(g + 1)/3
Let c(y) be the second derivative of -y**5/120 + y**4/48 + y**3/6 - y**2 + 2*y. Let x(z) be the first derivative of c(z). Find l such that x(l) = 0.
-1, 2
Let v = 25 + -22. Let x(l) be the first derivative of -2 - 2*l + l**4 - 1/3*l**6 - 2/5*l**5 + 4/3*l**v - l**2. Factor x(n).
-2*(n - 1)**2*(n + 1)**3
Let 3*z**4 - 4 - 896*z + 888*z + z**4 + 8*z**3 = 0. What is z?
-1, 1
Let m(p) be the third derivative of -p**6/600 - p**5/150 + 7*p**4/120 - 2*p**3/15 - 6*p**2. Suppose m(z) = 0. What is z?
-4, 1
Let t(b) = 0 + 7*b**2 + 4 + 4*b - 6*b**2. Let p be t(-4). Determine y, given that -2/5*y**p + 2/5*y + 0 - 2/5*y**3 + 2/5*y**2 = 0.
-1, 0, 1
Let o(q) be the second derivative of q**5/20 - q**4/8 + q**2 - 3*q. Let v(f) be the first derivative of o(f). Let v(d) = 0. What is d?
0, 1
Let f = -5/117753 + -37680155/18958233. Let i = -26/23 - f. Find h such that -2/7*h + 2/7*h**4 + i*h**2 + 0 - 6/7*h**3 = 0.
0, 1
Let u(j) be the second derivative of j**6/45 - j**4/18 - 14*j. Find h, given that u(h) = 0.
-1, 0, 1
Let w(o) = o**3 - 2*o**2 + 4*o - 2. Let n be w(2). Suppose -n*p = -p - 20. Solve -11*r**2 - 7*r**2 - 3*r**2 - p - 3*r**2 + 22*r - 18*r**3 = 0 for r.
-2, 1/3
Let o be (-13)/(91/(-48)) + -6. What is j in o*j - 2/7 + 2/7*j**3 - 6/7*j**2 = 0?
1
Let j be 2 + -2 + 3 + -3 - -2. Let 2/11 - 4/11*k + 2/11*k**j = 0. Calculate k.
1
Let f be (3/2)/((-9)/(-12)). Let y be 25/12 - (-2)/8. Factor -2/3*b + 0 - y*b**f - 5/3*b**3.
-b*(b + 1)*(5*b + 2)/3
Suppose -7*n**4 - 4*n**5 - 18*n - 6 - 5*n**4 - 32*n**2 - 28*n**3 + 2*n**5 + 2 = 0. Calculate n.
-2, -1
Let f(y) be the third derivative of y**6/150 - y**5/20 + y**4/10 + 2*y**3/15 + 41*y**2. Suppose f(h) = 0. Calculate h.
-1/4, 2
Let w(a) = -a + 1. Let d be w(1). Factor d + 2/11*f**2 + 0*f.
2*f**2/11
Let g(q) be the third derivative of -q**5/60 + q**4/8 - q**3/3 + 3*q**2. Factor g(s).
-(s - 2)*(s - 1)
Let l(a) = a**3 - 20*a**2 - 42*a - 44. Let u be l(22). Let -1/3*y**3 + u - 1/3*y - 2/3*y**2 = 0. Calculate y.
-1, 0
Factor -v**2 + 0*v + 1/3*v**3 + 4/3.
(v - 2)**2*(v + 1)/3
Let d be (-8 + 4)*(3/2)/(-3). Let j(s) be the first derivative of 3 + 1/10*s**5 + 1/8*s**4 - 1/4*s**d - 1/6*s**3 + 0*s. Factor j(b).
b*(b - 1)*(b + 1)**2/2
Let -24/19*m**2 - 2/19*m**4 - 20/19*m - 12/19*m**3 - 6/19 = 0. What is m?
-3, -1
Let o(n) be the second derivative of -n**6/180 - n**5/20 - n**4/72 + 2*n**3/3 - 4*n**2/3 - 2*n. Factor o(g).
-(g - 1)**2*(g + 4)**2/6
Suppose 0 = 40*w - 27*w - 26. Suppose 9/5*t**w - 2/5 + 3/5*t = 0. What is t?
-2/3, 1/3
Let n(l) = -l + 4. Let g be n(8). Let y be 7 + 2*(2 + g). Factor 0 + 0*f + 2/3*f**5 - 4/3*f**2 + 0*f**4 - 2*f**y.
2*f**2*(f - 2)*(f + 1)**2/3
Let o be 2/(-8) + (48/(-18))/(-8). Let i(a) be the second derivative of -9/8*a**2 + 0 - o*a**4 - 1/2*a**3 - 2*a. Factor i(s).
-(2*s + 3)**2/4
Let l(a) be the third derivative of a**5/360 + a**4/72 + a**3/36 - a**2. Factor l(h).
(h + 1)**2/6
Let a(b) be the third derivative of -1/6*b**5 + 4*b**2 - 13/48*b**4 - 1/6*b**3 + 0 + 0*b. Factor a(z).
-(4*z + 1)*(5*z + 2)/2
Let o(v) be the third derivative of -v**6/210 + 10*v**2. What is m in o(m) = 0?
0
Let t = -3 + -2. Let h = t + 10. Factor n**h - n**4 - 2*n**3 - 1 + 2*n**2 - 3*n + 3*n + n.
(n - 1)**3*(n + 1)**2
Let c(x) be the third derivative of x**7/105 - x**5/10 - x**4/6 - x**2. Suppose c(h) = 0. Calculate h.
-1, 0, 2
Let w be ((-1)/(-6))/(-1) - (-6)/36. Factor -4/13*h**2 + 2/13*h + 2/13*h**3 + w.
2*h*(h - 1)**2/13
Let i(q) be the third derivative of q**6/252 + 11*q**5/315 + 2*q**4/63 - 9*q**2. Factor i(g).
2*g*(g + 4)*(5*g + 2)/21
Let m be 2308/7 + (-8)/(-28). Let d be 105/m*(-4)/(-7). Find p, given that 2/11*p**2 - d*p - 4/11 = 0.
-1, 2
What is o in -4*o**3 + 8*o**3 - o**5 - 6*o**3 + 3*o**5 = 0?
-1, 0, 1
Let i(c) = -c**3 - 5*c**2 + 6*c. Let k be i(-6). Suppose -u = 3*f + 7, f + 5 = u - k*f. Factor 0*z**2 - 3*z**u - 2*z + z**2.
-2*z*(z + 1)
Let q be (36/8 + -5)*2/(-3). Factor 1/3*v**2 - 2/3*v**3 + 0 + q*v**4 + 0*v.
v**2*(v - 1)**2/3
Suppose 2*g + 4 = 3*p, -4*p + 6*g - 4 = 8*g. Solve p*o - o**2 + 1/2 + 0*o**3 + 1/2*o**4 = 0 for o.
-1, 1
Let u(c) = c**2 + 3*c - 2. Let i(g) = g - 2. Let z be i(0). Let s = 24 + -23. Let f(j) = j - 1. Let d(n) = s*u(n) + z*f(n). Factor d(m).
m*(m + 1)
Suppose 14*g = 18*g. Let -1/6*p**2 + 0*p + g - 1/6*p**3 = 0. What is p?
-1, 0
Let d(j) be the third derivative of 0*j**3 + 0 + 1/30*j**5 + 1/120*j**6 + 0*j + 1/24*j**4 - 5*j**2. Factor d(o).
o*(o + 1)**2
Let u(n) be the second derivative of 1/36*n**4 + 0*n**3 - 3*n - 1/6*n**2 + 0. Factor u(f).
(f - 1)*(f + 1)/3
Suppose -3 - 1 = 4*i. Let c be ((-8)/24)/(i/15). Suppose -m**c - 2*m**3 - 2*m**4 - 5 + 5*m**4 + 3*m - 2*m**2 + 4 = 0. What is m?
-1, 1
Let m(n) be the third derivative of -n**5/90 + n**4/27 - n**3/27 - 30*n**2. Find o, given that m(o) = 0.
1/3, 1
Let p(n) be the first derivative of -n**3/3 - 2*n**2 + 3*n - 1. Let x be p(-4). Factor -3*l**4 + 4*l + 5*l**4 - 3*l**2 - x*l**2.
2*l*(l - 1)**2*(l + 2)
Suppose -3/2*m**3 + 1 + 5/2*m**4 - 7/2*m**2 + 3/2*m = 0. Calculate m.
-1, -2/5, 1
Let j be (77/(-15) - -5)*(0 - 3). Find x, given that j + 3/5*x + 1/5*x**2 = 0.
-2, -1
Let o(i) = 4*i - 12. Let a be o(4). Factor -81*p - a*p**2 + 89*p - 5 + 1.
-4*(p - 1)**2
Let i(l) be the third derivative of l**6/300 - l**5/150 - l**4/60 - l**3/2 - 2*l**2. Let p(m) be the first derivative of i(m). Solve p(t) = 0 for t.
-1/3, 1
Let a(b) be the first derivative of -1/5*b**5 + 3 + 0*b + 0*b**2 + 1/4*b**4 + 1/3*b**3 - 1/6*b**6. Factor a(p).
-p**2*(p - 1)*(p + 1)**2
Suppose 30 + 5 = -5*i. Let h = 9 + i. Determine u so that 4/7 + 2/7*u**h - 6/7*u = 0.
1, 2
Let b(t) = -t**3 + 8*t**2 + 8*t + 13. Let j be b(9). Suppose 3 - 11 = -j*p. Determine a, given that 3*a**2 - p*a + 0*a**2 + 0*a**2 - a**3 = 0.
0, 1, 2
Solve -2*t**2 - 3027*t + 3027*t - t**4 - 3*t**3 = 0.
-2, -1, 0
Let o(g) be the third derivative of -g**6/1020 + g**5/510 + g**4/204 - g**3/51 - 19*g**2. Factor o(d).
-2*(d - 1)**2*(d + 1)/17
Let p = 272/1143 + -2/127. Let c(n) be the first derivative of 1 + p*n**3 + 2/3*n**4 + 0*n + 0*n**2. Factor c(r).
2*r**2*(4*r + 1)/3
Let t(j) be the third derivative of 0 - 2/3*j**3 + 1/15*j**5 + 0*j + 1/12*j**4 - 1/60*j**6 + 2*j**2. Factor t(w).
-2*(w - 2)*(w - 1)*(w + 1)
Let -3/2*j**2 - 7/2*j**4 + 7/4*j - 25/4*j**3 + 1/2 = 0. What is j?
-1, -2/7, 1/2
Let b(d) be the first derivative of 25*d**4/2 - 2*d**3/3 + d**2/2 - 2. Let s be b(1). Solve -5 + 5 - 4*r + s*r**4 - 77*r**3 + 32*r**2 = 0 for r.
0, 2/7, 1
Suppose -2*w + 2*a = -4 - 18, 2*w + 3*a = -3. Factor w*f + 5*f**4 - 4*f - 7*f**4 + 6*f**3 - 6*f**2.
-2*f*(f - 1)**3
Factor -1/3*o + 0 - 1/3*o**2 + 1/3*o**4 + 1/3*o**3.
o*(o - 1)*(o + 1)**2/3
Let z(p) be the second derivative of p**7/70 + p**6/50 - 3*p**5/100 - p**4/20 + 2*p. Let z(f) = 0. What is f?
-1, 0, 1
Let f be 0/(-1) - (-2720)/119. Determine u so that 128/7*u**4 - f*u**3 - 46/7*u - 24*u**2 - 4/7 = 0.
-1/4, 2
Let y = 23 - 11. Suppose -2*o = h - 5*o + 8, 4*o = h + y. Factor 9*z**5 - 4*z - 5*z**3 + 10*z**4 + 2*z**h + 0*z**3 - 12*z**2.
z*(z - 1)*(z + 1)*(3*z + 2)**2
Let w(f) = -12*f**5 - 6*f**4 - 17*f**3 + 27*f**2 + 15*f - 7. Let q(x) = x**5 + x**3 - x**2 - 1. Let t(a) = 22*q(a) + 2*w(a). Suppose t(l) = 0. What is l?
-3, -2, 1
Let t = 226 + -224. Determine n, given that 0 - 2/3*n**4 - 2*n**t - 2*n**3 - 2/3*n = 0.
-1, 0
Let b(j) = 2*j + 2. Let c be b(-1). Let q(s) be the first derivative of -s**2 + c*s + 2 - 1/3*s**3. Factor q(z).
-z*(z + 2)
Let d be 5/10 + (-127)/2. Let l be ((-6)/d)/((-3)/(-36)). Factor -8/7*t - 2/7*t**3 - l*t**2 + 0.
-2*t*(t + 2)**2/7
Let g(o) be the firs