ctor a(n).
-n*(n - 3)/7
Let s(b) be the first derivative of 4*b**2 + 4*b + 6 + 4/3*b**3. Solve s(o) = 0 for o.
-1
Let u(y) be the third derivative of -7*y**5/12 - 5*y**4/12 + 16*y**2. Factor u(d).
-5*d*(7*d + 2)
Let v be 3 - 4/((-112)/12). Let l = -58/21 + v. Factor l*q**4 + 0*q**3 + 0*q**2 + 0 + 0*q.
2*q**4/3
Let d(s) be the third derivative of 0*s**3 + s**2 + 1/60*s**5 + 0 + 0*s + 0*s**4. Factor d(j).
j**2
Let h = -1/94 - -24/47. Determine n so that 0*n + h - 1/2*n**2 = 0.
-1, 1
Suppose 8 = 3*c + c. Let p = 178 - 176. Suppose -p*d + 2/3*d**c - 2/3 + 2*d**3 = 0. What is d?
-1, -1/3, 1
Suppose 2*o - 10 = -3*o. Solve -w**3 - 2*w**2 + 2*w**o + 0*w**2 + 2*w + w**2 = 0 for w.
-1, 0, 2
Factor 2/3*b**4 + 0 + 0*b**3 - 2/3*b**2 + 0*b.
2*b**2*(b - 1)*(b + 1)/3
Let z(x) be the first derivative of -x**6/80 - x**5/60 + x**4/48 + 5*x**2/2 + 5. Let r(n) be the second derivative of z(n). Factor r(a).
-a*(a + 1)*(3*a - 1)/2
Suppose -8*m + 4*m = -6*n + 26, 11 = 5*n + 2*m. Let 48/5*p**4 + 2/5*p**2 - 32/5*p**5 - 18/5*p**n + 0 + 0*p = 0. What is p?
0, 1/4, 1
Let w(f) be the first derivative of -1/30*f**4 - 3*f + 0*f**2 + 2 + 1/10*f**5 - 1/15*f**3 - 1/25*f**6. Let j(r) be the first derivative of w(r). Factor j(x).
-2*x*(x - 1)**2*(3*x + 1)/5
Let r = 5 - -1. Let o(a) = -a**3 + 4*a**2 - 8*a + 5. Let q(k) = 4*k**3 - 16*k**2 + 33*k - 21. Let v(w) = r*q(w) + 26*o(w). Factor v(m).
-2*(m - 2)*(m - 1)**2
Suppose -6*f + f = -50. Let d = f - 6. Factor h + 0*h**2 + 2*h**4 - 4*h**3 - h**d - h**2 + 3*h**3.
h*(h - 1)**2*(h + 1)
Let v(u) be the second derivative of u**4/78 + u**3/13 + 6*u. Factor v(j).
2*j*(j + 3)/13
Let c(z) be the third derivative of -z**8/1512 - 2*z**7/945 + z**6/540 + z**5/135 - 16*z**2 - 1. Determine u so that c(u) = 0.
-2, -1, 0, 1
Let i(o) be the third derivative of o**5/180 + o**4/24 - 2*o**3/9 - 22*o**2. Solve i(a) = 0.
-4, 1
Let c be (525/225)/((-2 + 0)/(-4)). Determine g, given that -6*g + c*g**2 + 4/3 = 0.
2/7, 1
Let v(x) be the third derivative of x**6/24 + 2*x**5/3 - 95*x**4/24 + 25*x**3/3 + 7*x**2. Determine z so that v(z) = 0.
-10, 1
Let d be -3 + (2 - (-2004)/(-15)). Let h = d + 135. Factor -2/5*t**4 + h*t**3 + 6/5*t**2 + 4/5 - 2*t.
-2*(t - 1)**3*(t + 2)/5
Let m(l) be the second derivative of l**6/75 - l**5/50 - l**4/30 + l**3/15 - 2*l. Determine y so that m(y) = 0.
-1, 0, 1
Let p(k) be the third derivative of k**8/112 - 3*k**6/20 + 2*k**5/5 - 3*k**4/8 + 18*k**2. Find a, given that p(a) = 0.
-3, 0, 1
Suppose 61 = 2*a + 2*p + p, -2*p + 136 = 5*a. Suppose 5*n = -0*g - 2*g + 5, 2*n - 4*g = a. Determine d, given that -2/3*d - 5/3*d**n - 7/3*d**2 + 0 = 0.
-1, -2/5, 0
Let t = -2/5 + 23/20. Factor -1/4*y**3 - t*y**2 - 3/4*y - 1/4.
-(y + 1)**3/4
Suppose 0 = 3*k + 2*n - 15, 0*k + k = -4*n + 15. What is q in 2*q**k + q**3 - 5*q**3 + 2*q**5 = 0?
-1, 0, 1
Let b(v) be the second derivative of -v**8/5040 + v**7/2520 + v**6/1080 - v**5/360 - v**3/3 + v. Let n(g) be the second derivative of b(g). Factor n(y).
-y*(y - 1)**2*(y + 1)/3
Suppose 75 = -4*o + 5*t, 5*t + 1 = -4. Let z be (-36)/o + (-1)/(-5). What is d in d**z + 2/3 + 5/3*d - 1/3*d**4 - 1/3*d**3 = 0?
-1, 2
Let n(h) = -h**2 - 2*h - 1. Let i(y) = 1 - 2*y**2 - 2 - 5*y**2 + 6*y**2. Let l(c) = 2*i(c) - n(c). Factor l(o).
-(o - 1)**2
Factor 1/4*h**2 + 1/4 - 1/2*h.
(h - 1)**2/4
Let m = 87 - 521/6. Let l(k) be the first derivative of m*k**2 - 3 - 1/12*k**4 + 1/15*k**5 + 0*k - 1/9*k**3. Factor l(i).
i*(i - 1)**2*(i + 1)/3
Let w(g) be the first derivative of g**7/21 - 2*g**6/15 + g**4/3 - g**3/3 - 6*g + 6. Let p(h) be the first derivative of w(h). Factor p(v).
2*v*(v - 1)**3*(v + 1)
Let o(z) = -z**3 - 9*z**2 - 7*z + 2. Let v be o(-8). Let r(g) = g - 1. Let s(m) = -14*m**2 - 10*m + 6. Let x(a) = v*r(a) - s(a). Factor x(c).
2*c*(7*c + 2)
Let t(a) = -a**2 + 10*a. Let n be t(10). Factor -2/3*q**2 + 0*q + n.
-2*q**2/3
Let u be ((-50)/(-75))/(4/18). Factor -2*q**2 + 1/2*q**u + 0 + 2*q.
q*(q - 2)**2/2
Let u = 198 - 196. Let 2/3*c**2 - 8/3*c + u = 0. Calculate c.
1, 3
Let j(m) = 8*m**2 + 67*m + 245. Let o(w) = -9*w**2 - 66*w - 245. Let x(h) = -4*j(h) - 3*o(h). Factor x(p).
-5*(p + 7)**2
Let a(g) be the third derivative of -g**8/1344 + g**7/840 + g**6/240 - g**5/120 - g**4/96 + g**3/24 - 8*g**2. Factor a(f).
-(f - 1)**3*(f + 1)**2/4
Find z such that 16*z**3 - 16*z - 2*z**4 - 2*z**4 + 8*z**4 - 12 + 2*z**2 + 6*z**2 = 0.
-3, -1, 1
Let j(g) = -13*g**3 + 13*g**2 - g - 6. Let p(m) be the first derivative of -m**4 + 4*m**3/3 - 2*m - 2. Let x(y) = 2*j(y) - 7*p(y). What is w in x(w) = 0?
-1, 1
Let k(a) = -a**2 - a + 2. Let j be k(0). Solve 2*u**3 - 6*u + j*u + 3*u - u**5 - 4*u**2 + 2*u**4 + 2 = 0.
-1, 1, 2
Let r(t) = -t**4 - t**3 + t**2 - t. Let q(k) = -5*k**4 - 5*k**3 + 5*k**2 - k. Suppose 5*l - 10 = 5. Let s(h) = l*r(h) - q(h). Suppose s(z) = 0. Calculate z.
-1, 0, 1
Let z = 8 - 4. Factor -5*m**3 - 4*m**2 - 8*m**2 + 9*m**5 + 12*m**z - 6*m + 2*m.
m*(m - 1)*(m + 1)*(3*m + 2)**2
Let g(m) be the second derivative of 0*m**5 - 1/15*m**6 + 0 + 0*m**2 + 1/2*m**4 - 2/3*m**3 - 5*m. Let g(d) = 0. What is d?
-2, 0, 1
Let g be (-10)/(-6) - (-2)/(-2). Let p = -7/18 + 19/18. Suppose g + p*j**2 - 4/3*j = 0. Calculate j.
1
Let w(i) be the second derivative of i**7/42 + 2*i**6/15 + i**5/5 - i**4/6 - 5*i**3/6 - i**2 - 42*i. Find k such that w(k) = 0.
-2, -1, 1
Suppose 0 = 2*t - 0*t - 4. Suppose 2/5*q**t + 2/5 - 4/5*q = 0. Calculate q.
1
Let x = 50 - 36. Let -x*o - 3*o**2 - 2*o**2 + 2 + 11*o = 0. What is o?
-1, 2/5
Let o(a) be the second derivative of 1/54*a**4 + 4*a - 1/135*a**6 + 0*a**5 + 0*a**3 + 0*a**2 + 0. Factor o(r).
-2*r**2*(r - 1)*(r + 1)/9
Let 11*b**3 + b**2 + 10*b**4 + 2*b - 3*b**2 + b**2 - 4*b = 0. What is b?
-1, -1/2, 0, 2/5
Let c(k) be the first derivative of k**3/3 - k**2 + k - 2. Let r be c(1). Factor 4/5*o**3 + 0 - 2/5*o - 2/5*o**5 + 0*o**4 + r*o**2.
-2*o*(o - 1)**2*(o + 1)**2/5
Let n(w) = -w**3 - 2*w**2 + 1. Let u be n(-1). Let t be u*((-6)/3 + 3). Factor -1/3*i**2 - 1/3*i**3 + 0 + t*i.
-i**2*(i + 1)/3
Let f(q) be the third derivative of -2/33*q**4 + 16/33*q**3 + 0 - 4*q**2 + 1/330*q**5 + 0*q. Factor f(v).
2*(v - 4)**2/11
Factor -10*c**3 - c**4 + 5*c**5 + 4*c**4 + 3*c**4 - c**4.
5*c**3*(c - 1)*(c + 2)
Let l be (18/(-12))/(6/(-4)). Let w be (-2)/(-4) + l/14. Factor 0*x - 2/7*x**4 + w*x**2 + 0 + 2/7*x**3.
-2*x**2*(x - 2)*(x + 1)/7
Let h(w) be the third derivative of 1/75*w**5 + 0*w**3 + 0 + 0*w**4 + 1/75*w**7 + 0*w - 2*w**2 - 3/100*w**6. Solve h(q) = 0.
0, 2/7, 1
Suppose 55 = 4*g - 57. Let f be (-3)/(-12) + g/16. Solve 0 + 2/3*w - 4/3*w**f + 2/3*w**3 = 0.
0, 1
Let h(f) = -f**2. Let a(w) = 5*w**3 + w**2. Suppose -5*o - 5*v - 35 = 0, -7*o - 26 = -3*o + 2*v. Let s(j) = o*h(j) - 2*a(j). Suppose s(i) = 0. Calculate i.
0, 2/5
Let h(d) be the second derivative of -d**6/180 - d**5/15 - d**4/3 - d**3/3 - 3*d. Let x(v) be the second derivative of h(v). Let x(w) = 0. Calculate w.
-2
Let s(c) be the first derivative of -2 + 6/7*c**2 + 2/21*c**3 + 18/7*c. Factor s(w).
2*(w + 3)**2/7
Let f(a) be the third derivative of -a**5/80 - a**4/4 - 2*a**3 - 4*a**2. Determine t, given that f(t) = 0.
-4
Let f be 3 + (-1 - 39/(-3)). Let z = f - 15. Factor 2/9*l**2 + 4/9*l + z.
2*l*(l + 2)/9
Let s**5 - 2*s**3 - s**2 + s**4 + s**2 + 0*s**2 = 0. Calculate s.
-2, 0, 1
Let i be 3/(-3) + (85/4)/17. Factor 0 + 1/4*s**5 + 0*s - i*s**3 - 1/4*s**4 + 1/4*s**2.
s**2*(s - 1)**2*(s + 1)/4
Let f(d) be the third derivative of d**2 + 0*d - 1/540*d**6 + 0 + 1/6*d**3 + 0*d**4 + 1/180*d**5. Let u(k) be the first derivative of f(k). Factor u(t).
-2*t*(t - 1)/3
Let i(r) be the third derivative of r**8/1764 - r**7/735 - r**6/420 + r**5/315 - 46*r**2. Determine m so that i(m) = 0.
-1, 0, 1/2, 2
Factor -16/7*p**3 - 8/7*p + 4/7 - 4*p**2.
-4*(p + 1)**2*(4*p - 1)/7
Let g be 40/16 + (-46)/(-2) + -1. Let -3/2*n**2 + 10*n - 35*n**3 + g*n**4 + 2 = 0. What is n?
-2/7, 1
Let d be ((3/18)/1)/(3/4). Factor -2/9*h + d*h**2 + 0.
2*h*(h - 1)/9
Let z be ((-7)/(-3))/(2/18). Factor 0*y - 20*y + z*y**3 + 4*y**2 - 6 - y + 2*y**2.
3*(y - 1)*(y + 1)*(7*y + 2)
Let c be (-8)/(-6) - (200/(-48))/25. Let 0 + 1/2*v - v**4 + v**2 - 2*v**3 + c*v**5 = 0. What is v?
-1, -1/3, 0, 1
Suppose 0 = 17*l - 12*l - 15. Let 2/7*v**4 + 4/7*v**l + 0 + 2/7*v**2 + 0*v = 0. Calculate v.
-1, 0
Suppose -2*r - 5*q = -11, 6*q -