7*n**3 + 0 - 3/7*n**4 + 0*n + 6/7*n**2.
-3*n**2*(n - 2)*(n + 1)/7
Let k(n) be the second derivative of n**5/60 + 5*n**4/36 + 4*n**3/9 + 2*n**2/3 - 20*n. Factor k(p).
(p + 1)*(p + 2)**2/3
Let c(r) be the third derivative of -r**7/420 - r**6/48 - 3*r**5/40 - 7*r**4/48 - r**3/6 + 9*r**2. Determine p so that c(p) = 0.
-2, -1
Let f(d) be the first derivative of -6*d**5/35 - d**4/7 + 2*d**3/21 + 1. What is u in f(u) = 0?
-1, 0, 1/3
Let d(f) be the third derivative of -f**8/6720 + f**7/2520 + f**6/180 - f**5/30 + 3*f**4/8 - f**2. Let v(p) be the second derivative of d(p). Factor v(o).
-(o - 2)*(o - 1)*(o + 2)
Let o(c) be the third derivative of c**8/420 + 4*c**7/175 + 11*c**6/150 + 2*c**5/75 - 2*c**4/5 - 16*c**3/15 - 26*c**2. Factor o(n).
4*(n - 1)*(n + 1)*(n + 2)**3/5
Suppose 2*x = 3*x - 4*p - 17, -2*x = -2*p - 16. Let l(h) be the third derivative of -3/5*h**x + 0*h**3 + 1/6*h**4 + 0 + 0*h + 27/40*h**6 - 3*h**2. Factor l(f).
f*(9*f - 2)**2
Factor 2*a**3 + 15/4*a**2 + 1/4*a**4 - 2*a - 4.
(a - 1)*(a + 1)*(a + 4)**2/4
Let b be (3/2)/((-5)/(-10)). Suppose b*c - s - 5 = 0, -2*c + 15 = -c - 3*s. Suppose 2/3*u**2 + 0 + c*u - 2/3*u**3 = 0. Calculate u.
0, 1
Let x(w) be the third derivative of -w**5/30 - w**4/4 + 2*w**3/3 - w**2. Let y(h) = -2 - 13*h + 10 - 4*h**2 + 0*h**2. Let t(j) = -9*x(j) + 4*y(j). Factor t(u).
2*(u - 1)*(u + 2)
Let u = -45 - -51. Let m(y) be the second derivative of 10/3*y**4 + y**u + 1/6*y**7 + 5/2*y**5 + y**2 + 5/2*y**3 + 0 + 2*y. Factor m(q).
(q + 1)**4*(7*q + 2)
Let m = -207 - -4141/20. Let k(j) be the second derivative of 0*j**2 - 1/6*j**4 - 1/6*j**3 + 0 - m*j**5 - j. Solve k(r) = 0.
-1, 0
Let h(t) be the third derivative of -t**5/420 - t**4/84 + 9*t**2. Find u such that h(u) = 0.
-2, 0
Let d(j) be the second derivative of -j**4/24 + j**3/6 - j**2/4 + 16*j. Factor d(q).
-(q - 1)**2/2
Let p be (-2)/(-2 + (2 - 7)). Let c(d) be the first derivative of 2/7*d**2 + 0*d - p*d**3 - 2. Let c(w) = 0. Calculate w.
0, 2/3
Let z(q) = -4*q**3 + 8*q**2 - 6*q + 6. Let p(l) = l**3 - l**2 + l - 1. Let t be (-18)/8*(-32)/(-12). Let o(d) = t*p(d) - z(d). Factor o(i).
-2*i**2*(i + 1)
Suppose -838*l = -848*l + 20. Factor 48/5*c - 12/5*c**l + 1/5*c**3 - 64/5.
(c - 4)**3/5
Suppose -5*s + 395 = 5*o + 80, 0 = -3*s - 15. Factor -16 - 7*n**3 - 67*n - o*n**2 - 13*n + 63*n**3.
4*(n - 2)*(2*n + 1)*(7*n + 2)
Let s be (-5 - (2 - 15)) + -5. Suppose 0 = 4*f - 9*y + 4*y - 10, -10 = -5*y. Find x, given that 0*x**s + 0 + 2/3*x**2 - 2/3*x**4 - 1/3*x**f + 1/3*x = 0.
-1, 0, 1
Factor -5 - 2*v**3 + v + 3*v**2 - 4*v + 6 + v**3.
-(v - 1)**3
Let i(o) be the first derivative of o**4/14 + 4*o**3/7 + 9*o**2/7 + 4. Find q such that i(q) = 0.
-3, 0
Let w(z) = -z + 1. Let u(c) = 2*c**2 - 7*c + 5. Suppose -4*o - 5*g - 12 = 0, -g + 4 = -4*o - 8. Let n(q) = o*w(q) + u(q). Find p such that n(p) = 0.
1
Solve 4*o**2 + 9*o**3 + 4*o**3 + 0*o**2 + 4*o - 12*o**3 = 0.
-2, 0
Let o(d) be the second derivative of 0 + 3/2*d**2 - 1/4*d**4 + 0*d**3 - 3*d. Factor o(u).
-3*(u - 1)*(u + 1)
Let i(o) be the first derivative of o**6/18 - o**5/15 - o**4/12 + o**3/9 + 11. Factor i(u).
u**2*(u - 1)**2*(u + 1)/3
Let f(r) be the first derivative of 0*r - 1/8*r**2 + 1/12*r**3 - 2. Factor f(z).
z*(z - 1)/4
Let a(x) = -x**3 + 2*x**2 - 2. Let s(z) = z**3 + 1. Let c(h) = a(h) + 2*s(h). Factor c(n).
n**2*(n + 2)
Let t(j) = 15*j**3 + 78*j**2 + 120*j + 36. Let h(b) = -30*b**3 - 155*b**2 - 240*b - 72. Let m(q) = -3*h(q) - 7*t(q). Factor m(k).
-3*(k + 2)*(k + 3)*(5*k + 2)
Let z(w) be the third derivative of -w**7/11340 + w**5/540 - w**4/8 - 2*w**2. Let p(u) be the second derivative of z(u). Factor p(d).
-2*(d - 1)*(d + 1)/9
Suppose -6*d - 32 = -62. Let z(q) be the second derivative of -1/33*q**3 - 1/33*q**4 + 4*q + 1/110*q**d + 0 + 2/11*q**2. Factor z(a).
2*(a - 2)*(a - 1)*(a + 1)/11
Suppose 0 + 2/5*h + 2/5*h**2 = 0. Calculate h.
-1, 0
Let v = 8 - 5. Factor -3*h**2 + h**2 + 3*h**v + 2 + 0*h + 0*h**2 - 3*h.
(h - 1)*(h + 1)*(3*h - 2)
Let a(z) be the second derivative of z**6/10 - 3*z**5/10 + z**4/4 + 14*z. Find m, given that a(m) = 0.
0, 1
Suppose -3*y - 12 = 3*z, -5*z - y + 4 = -2*y. Let n(h) be the third derivative of -1/60*h**6 + h**2 + 1/12*h**4 + 0*h + 0*h**5 + 0*h**3 + z. Factor n(k).
-2*k*(k - 1)*(k + 1)
Factor -2/9*f**4 + 0 - 2/9*f + 2/9*f**3 + 2/9*f**2.
-2*f*(f - 1)**2*(f + 1)/9
Factor -3/5*a**3 + 21/5*a**2 + 0 + 0*a.
-3*a**2*(a - 7)/5
Let z(h) = 5*h**2 - 5*h + 5. Let s(r) = -4*r**2 + 6*r - 6. Let a(u) = -2*u + 1. Let v be a(2). Let m(o) = v*s(o) - 2*z(o). Factor m(b).
2*(b - 2)**2
Let u(n) = -n**3 - 4*n**2 - 7*n + 4. Let f(w) = w**3 + w**2 + w - 1. Let y(v) = -4*f(v) - u(v). Solve y(j) = 0 for j.
-1, 0, 1
Let x(m) be the first derivative of -m**5/130 - m**4/78 - m + 8. Let u(h) be the first derivative of x(h). Suppose u(b) = 0. What is b?
-1, 0
Let q(g) be the third derivative of 0*g + 1/70*g**7 + 0*g**3 + 0 - 5*g**2 - 1/40*g**6 + 1/8*g**4 - 1/20*g**5. Determine i, given that q(i) = 0.
-1, 0, 1
Let o be (-4)/(-26) + 135/1404. Determine c, given that 0*c - 1/4*c**4 + 1/4*c**5 + o*c**2 + 0 - 1/4*c**3 = 0.
-1, 0, 1
Let p be 6*1*(-2 - -1). Let w be (p/(-15))/(2/10). Let 2*i**2 - w*i**3 + 10 + 4*i - 10 = 0. Calculate i.
-1, 0, 2
Let g be (159/(-265))/((-9)/10). Suppose g*q**2 - 8/9 - 8/9*q - 2/9*q**4 + 4/9*q**3 = 0. What is q?
-1, 2
Let m(h) be the second derivative of -h + 0 - 7/75*h**6 + 0*h**2 + 7/30*h**4 + 2/15*h**3 - 11/50*h**5 + 3/35*h**7. What is z in m(z) = 0?
-1, -2/9, 0, 1
Factor -10*x - 18*x**4 + 15*x**2 - 22*x**4 + 35*x**4.
-5*x*(x - 1)**2*(x + 2)
Suppose 3*r - 6*r = 9. Let b be (-6)/9 + (-8)/r. Factor 4 - 3 + 3*m + 9*m**b - 9*m.
(3*m - 1)**2
Let c(l) = l**4 - 3*l**2 + 3*l + 3. Suppose 2*d = 6*d + 3*g - 2, -5*d + g + 12 = 0. Let k(n) = n**4 - 2*n**2 + 2*n + 2. Let w(v) = d*c(v) - 3*k(v). Factor w(b).
-b**4
Let a be 1/(-4) + 91/28. Factor 0*m**3 + 0*m**a + 2*m**2 + m + 0*m**2 + m**3.
m*(m + 1)**2
Let t be ((-4)/36)/(1/(-6)). Factor 0 + 2/3*d - t*d**3 + 0*d**2.
-2*d*(d - 1)*(d + 1)/3
Suppose 0*h**4 - 2*h**5 - 3*h**2 - h**2 + 2*h + 4*h**4 = 0. Calculate h.
-1, 0, 1
Let -2/5*v**2 + 1/5*v - 1/5*v**5 + 2/5*v**4 + 0 + 0*v**3 = 0. What is v?
-1, 0, 1
Let v be (-3)/(-12) + 100/(-16). Let d be 10/v*16/(-30). Determine q so that -8/9 - 2/9*q**2 - d*q = 0.
-2
Let k(d) = -29*d**5 + 106*d**4 - 90*d**3 + 30*d**2 - d. Let j(u) = -59*u**5 + 211*u**4 - 180*u**3 + 61*u**2 - u. Let x(c) = 2*j(c) - 5*k(c). Factor x(z).
z*(z - 3)*(3*z - 1)**3
Let q(d) be the first derivative of -1/15*d**3 - 3/20*d**4 - 6 - 1/25*d**5 + 3/10*d**2 + 2/5*d. Factor q(w).
-(w - 1)*(w + 1)**2*(w + 2)/5
Suppose 3*m - z - 22 = -0*m, 4*m - 3*z = 21. Suppose 0 = y + 3*f + m, 0 = -f - 0*f - 3. Let y + 2/3*u**3 - 2/3*u**2 + 0*u = 0. Calculate u.
0, 1
Let p(n) = -n**2 + n - 1. Let x(f) = 15*f**4 + 35*f**3 + 5*f**2 + 5*f - 5. Let g(z) = 5*p(z) - x(z). Factor g(w).
-5*w**2*(w + 2)*(3*w + 1)
Solve -9/4*t**2 - 3/4*t**4 - 3/4*t - 9/4*t**3 + 0 = 0.
-1, 0
Let f be (-20)/(-175)*(-42)/(-12). Find h such that 0 + 8/5*h**2 - 8/5*h**3 + f*h**4 + 0*h = 0.
0, 2
Let y = -3 - -7. Let p = -2 + y. Factor 3*m**5 - 4*m**5 + 3*m**4 - m**4 - p*m**2 + m.
-m*(m - 1)**3*(m + 1)
Let k be 8/(-12)*(-12)/(-2). Let c be -3 - (1*k + -1). Find w, given that -6*w + 2*w + 2*w**c - 3*w + 4 + w = 0.
1, 2
Let n be (3/33)/(3/6). Factor 0 + n*t**2 + 2/11*t.
2*t*(t + 1)/11
Let g(z) be the second derivative of z**5/20 + z**4/8 - z**2/2 - 2*z. Let r(d) be the first derivative of g(d). Factor r(o).
3*o*(o + 1)
Let f be ((-4)/(-30))/((-240)/(-100)). Let z(d) be the second derivative of d + 0 + f*d**4 + 2/9*d**3 + 1/3*d**2. Factor z(h).
2*(h + 1)**2/3
Let a(d) be the third derivative of d**7/16380 - d**6/585 + 4*d**5/195 + d**4/3 + 5*d**2. Let g(x) be the second derivative of a(x). What is i in g(i) = 0?
4
Let g = 2 + 3. Let x(q) be the first derivative of 2 - 1/18*q**6 + 0*q**2 + 1/12*q**4 + 0*q - 1/15*q**g + 1/9*q**3. Factor x(o).
-o**2*(o - 1)*(o + 1)**2/3
Factor -1/4*d**4 + 0*d + 0*d**2 - 1/4*d**5 + 0 + 0*d**3.
-d**4*(d + 1)/4
Suppose 3*l + p - 298 = 0, 3*p + 2*p - 401 = -4*l. Let j be l/108 + 4/(-6). What is f in 0 - j*f**2 + 0*f = 0?
0
Suppose 0 = 48*n - 53*n + 10. What is x in -2/9*x**n + 2/9*x + 0 = 0?
0, 1
Let k(w) be the second derivative of -w**6/55 - 4*w**5/55 - w**4/11 + w**2/11 + 10