n.
-5*n*(n - 2)**2
Let w = -16905 + 67623/4. Factor -3/2 + w*v + 3/2*v**2 - 3/4*v**3.
-3*(v - 2)*(v - 1)*(v + 1)/4
Let n(z) = -z**2 + 2*z + 5. Suppose -2*g = -2*q + 20, -12*q + 45 = -4*g - 7*q. Let y(m) = -1. Let i(t) = g*n(t) - 30*y(t). Factor i(k).
5*(k - 1)**2
Let k(l) be the first derivative of -3/20*l**5 + 3*l**3 + 21/4*l**2 + 15/4*l + 3/8*l**4 + 21. Factor k(v).
-3*(v - 5)*(v + 1)**3/4
Let p(g) = 15*g + 47. Let q be p(-3). Factor 0*c + 4/5*c**3 + 0*c**q + 0 - 2/5*c**5 - 2/5*c**4.
-2*c**3*(c - 1)*(c + 2)/5
Let g(x) be the second derivative of x**6/10 + 3*x**5/10 - 7*x**4/4 + 2*x**3 + 531*x + 2. What is o in g(o) = 0?
-4, 0, 1
Let x(g) be the third derivative of g**8/10080 + g**7/1008 + g**6/720 - g**5/80 + 3*g**3/2 - 13*g**2. Let k(w) be the first derivative of x(w). Factor k(i).
i*(i - 1)*(i + 3)**2/6
Let i(m) be the first derivative of 9*m**6/7 + 216*m**5/5 - 792*m**4/7 + 2144*m**3/21 - 240*m**2/7 - 3. Factor i(w).
2*w*(w + 30)*(3*w - 2)**3/7
Suppose 0*n + n = 4*n. Find h, given that 4/3*h**2 + 4/3*h**4 + n*h + 0 + 8/3*h**3 = 0.
-1, 0
Let a be (-21)/(-3) - ((-6039)/81)/(-11). Factor 8/9*j + 8/9 + a*j**2.
2*(j + 2)**2/9
Let j(m) = -2*m**2 - 4*m + 4*m**2 + 2*m**2 - 34*m**3 - 2 + 30*m**3. Let y(l) = -5*l**3 + 4*l**2 - 5*l - 3. Let i(t) = 3*j(t) - 2*y(t). Factor i(v).
-2*v*(v - 1)**2
Let x(j) = j**5 - j**4 + j**3 + j**2. Let i(y) = 24*y**5 - 6*y**4 + 66*y**3 + 70*y**2 + 18*y. Let p(m) = -2*i(m) + 44*x(m). Factor p(f).
-4*f*(f + 1)**2*(f + 3)**2
Suppose 4*v + v - 40 = 0. Suppose -4*g + 10 = g - d, 4*g = 4*d + v. Factor 24*r**3 - 4*r**2 + r - r**g - 8*r**3 - 3*r**2.
r*(4*r - 1)**2
Let b be ((-12)/(-21))/(6/21). Let k be (-2)/(10/9) + b. Factor 1/5 + 1/5*o - 1/5*o**2 - k*o**3.
-(o - 1)*(o + 1)**2/5
Let o(d) be the first derivative of -d**3/5 + 51*d**2/10 + 54*d/5 + 131. Determine r so that o(r) = 0.
-1, 18
Let q = -1/442 - -111/221. Let p(y) be the first derivative of -15/4*y**4 + 7 + q*y**6 + 12*y**2 - y**3 + 3/5*y**5 - 12*y. Factor p(h).
3*(h - 1)**3*(h + 2)**2
Suppose 8*x + 11*x = 95. Suppose -4*u - 3 = -x*y + 1, -5*y = -3*u - 8. Determine h so that 6/5*h**u + 3/5*h**3 + 0*h**2 + 0*h + 0 + 3/5*h**5 = 0.
-1, 0
Let k(b) = 3*b**4 + 7*b**3. Let a(h) = -4*h**4 - 10*h**3. Let p be 9/6*10/3. Let g(o) = p*a(o) + 7*k(o). Factor g(n).
n**3*(n - 1)
Suppose 660*v + 2366 - 1163 - 1153 + 2178*v**2 = 0. What is v?
-5/33
Let x(t) be the first derivative of -t**6/6 + 4*t**5 - 19*t**4/4 - 366. Factor x(i).
-i**3*(i - 19)*(i - 1)
What is j in -3*j**4 + 3*j**2 + 19*j**3 - 4*j**3 - j**2 - 15*j + j**2 + 0*j**2 = 0?
-1, 0, 1, 5
Let y(l) be the second derivative of l**4/42 - 5*l**3/3 - 36*l**2/7 - 16*l + 1. Determine z so that y(z) = 0.
-1, 36
Let n(p) = p**2 + p + 1. Let j = 13 + 7. Let z = j + -15. Let m(d) = 3*d**2 + 11*d + 5. Let f(t) = z*n(t) - m(t). Factor f(q).
2*q*(q - 3)
Let x(g) be the third derivative of -g**5/330 + 15*g**4/22 - 675*g**3/11 + g**2 + 20*g. Factor x(d).
-2*(d - 45)**2/11
Let m(f) be the second derivative of f**4/60 - 11*f**3/15 - 15*f**2/2 + 9*f + 2. Factor m(h).
(h - 25)*(h + 3)/5
Let c be (-1)/2*0/(-3). Find b, given that 3*b**3 - 3*b**5 - 33*b**4 + c*b**3 + 33*b**4 = 0.
-1, 0, 1
Let m(r) = 3*r**4 - 7*r**2 + 6*r + 2. Suppose 0 = 8*n + 23 + 1. Let c(q) = 3*q**4 - 6*q**2 + 6*q + 3. Let h(x) = n*m(x) + 2*c(x). Factor h(p).
-3*p*(p - 1)**2*(p + 2)
Let a(l) be the second derivative of l**3/6 + l**2/2 - 6*l. Let b be a(3). Solve -16*n + 9 + b*n + 2*n**2 + 9 = 0 for n.
3
Let b(x) be the second derivative of x**4/4 + 21*x**3/2 - 108*x**2 - 5*x. Factor b(s).
3*(s - 3)*(s + 24)
Suppose 159*o - 157*o = 8. Suppose -8 = -3*j - o*f + 16, 0 = -2*j + 3*f - 1. Let 1/2*k**2 - 1/2*k**j - 1/4*k**5 + 0*k**3 + 1/4*k + 0 = 0. What is k?
-1, 0, 1
Let w(v) = -v**3 - 32*v**2 - 22*v + 281. Let n be w(-31). Let -27/2 + 9*b - 3/2*b**n = 0. What is b?
3
Solve -110/3*r**2 + 98/3*r**3 - 92/3*r - 16/3 + 6*r**5 + 34*r**4 = 0.
-4, -2, -1/3, 1
Suppose -33 = -3*d - 3*w, 4*w - 22 = 6. Suppose 0 = -2*f - 6, -6*f + 2*f = -5*q + 12. Determine m so that -1/3*m**5 + q*m**3 + 1/3*m**d + 0*m**2 + 0 + 0*m = 0.
0, 1
Solve -85 + 39*v - v + 39*v - 22*v + 20*v + 10*v**2 = 0 for v.
-17/2, 1
Let z be (74/30)/(((-1664)/12)/(-8)). Let l = 3/52 + z. Factor 0 - l*b + 1/5*b**2.
b*(b - 1)/5
Let v(j) = 14*j**4 - 10*j**3 - 20*j**2 - 42*j - 46. Let q(m) = -5*m**4 + 4*m**3 + 7*m**2 + 14*m + 16. Let f(t) = 11*q(t) + 4*v(t). Factor f(z).
(z - 2)*(z + 1)**2*(z + 4)
Let n be ((-2)/(-3))/((-9)/(-27)). Factor -6 - 285*r**4 - 8*r + 287*r**4 - 11*r**2 - r**n + 24*r.
2*(r - 1)**3*(r + 3)
Let r(y) be the second derivative of y**4/60 - 19*y**3/15 + 361*y**2/10 - 21*y + 1. Factor r(t).
(t - 19)**2/5
Suppose -k - p + 9 = -3*p, -4*p + 66 = 10*k. Factor 73/6*c**2 + k*c + 28/3*c**3 + 8/3*c**4 + 3/2.
(c + 1)**2*(4*c + 3)**2/6
Let y(v) be the first derivative of -2*v**3/33 - 13*v**2/11 - 450. Let y(i) = 0. What is i?
-13, 0
Let j = 9 - 4. Let -2*s**3 + 8*s + 14*s**2 - 4*s**3 - s**5 - 18*s**2 + j*s**4 + 0*s**5 = 0. Calculate s.
-1, 0, 2
Factor -12 - b**4 + 16*b + 5*b**2 - 3*b**3 + b**5 + 3*b**3 - 9*b**3.
(b - 3)*(b - 1)**2*(b + 2)**2
Let m be ((-1)/(-3))/((-4)/3)*-12. Let s be ((-102)/(-42) + -2)/(m/2). Factor 4/7 + 2/7*y**4 + 2/7*y**3 - 6/7*y**2 - s*y.
2*(y - 1)**2*(y + 1)*(y + 2)/7
Suppose 0*p - 6*p**2 + 7/2*p**5 - 5/2*p**4 + 0 - 22*p**3 = 0. What is p?
-2, -2/7, 0, 3
Let 4/3*f**3 + 1/3*f + 7/6*f**2 + 1/2*f**4 + 0 = 0. Calculate f.
-1, -2/3, 0
Determine w, given that 15 + 3*w**2 - 5*w**3 + 3*w - 10 - w**3 - 8 + 3*w**3 = 0.
-1, 1
Let f(d) be the second derivative of 0*d**2 - 5/4*d**4 - 7*d + 0 - d**5 + 5/6*d**3. Factor f(v).
-5*v*(v + 1)*(4*v - 1)
Let y be 12/(-54) - 83/(-9). Let m(s) be the first derivative of -2*s**3 + 8 - 27*s + y*s**2 - 5 + s**3. Factor m(z).
-3*(z - 3)**2
Let q = -31 + 36. Let r(z) = z**2 + 1. Let i(f) = f**4 - f**3 + f + 1. Let b(v) = q*r(v) - 5*i(v). Find o such that b(o) = 0.
-1, 0, 1
Let z = -46 - -38. Let r be 2 - (-3)/((-540)/z)*-40. Factor 0*y**2 + 2/9 - r*y**4 - 4/9*y**3 + 4/9*y.
-2*(y - 1)*(y + 1)**3/9
Let i(r) be the first derivative of -r**6/30 + 14*r**5/25 + 4*r**4/5 - 14*r**3/15 - 3*r**2/2 + 493. Let i(s) = 0. Calculate s.
-1, 0, 1, 15
Let y(h) = h + 20. Let l be y(-12). Factor -84 + 38 - 2*n**2 + 38 + l*n.
-2*(n - 2)**2
Let u(z) = 5*z - 17. Let o be u(4). Let p = 10 - 7. Factor 3*b**p + 3*b + o*b**4 - 4*b + b.
3*b**3*(b + 1)
Let r = 95 - 86. Let n(j) = -3*j - 1. Let t be n(-1). Let -5*v**3 + t*v**3 + 2*v**3 + 4*v**3 - r*v**2 + 6*v = 0. Calculate v.
0, 1, 2
Let u(d) be the third derivative of -d**8/2184 - d**7/1365 + d**6/156 + d**5/78 - d**4/39 - 4*d**3/39 - 239*d**2. Suppose u(h) = 0. Calculate h.
-2, -1, 1, 2
Let d be 12/54*5/15. Let l(k) be the first derivative of 1/3*k**2 - 11 + 4/9*k + d*k**3. Determine j so that l(j) = 0.
-2, -1
Solve 39*i**3 + 0 + 0*i - 1/2*i**4 - 1521/2*i**2 = 0.
0, 39
Let m(s) be the second derivative of -s - 3/2*s**3 - 1/80*s**5 - 33 + 1/4*s**4 + 0*s**2. Factor m(w).
-w*(w - 6)**2/4
Suppose -54*p + 336 = -60*p. Let a = -103/2 - p. Determine i, given that -3 - a*i - 3/2*i**2 = 0.
-2, -1
Let g(p) = -p + 3. Let n be g(-15). Suppose -3*f = -0*f - n. Let k(r) = 5*r**2 + 4*r. Let w(h) = 6*h**2 + 5*h. Let q(u) = f*w(u) - 7*k(u). Factor q(a).
a*(a + 2)
Let v(l) be the second derivative of -l**6/2 - 39*l**5/20 - 9*l**4/4 + l**3/2 + 3*l**2 + 111*l. Factor v(s).
-3*(s + 1)**3*(5*s - 2)
Let w be 2/120*6 - (-4)/10. Let b(k) be the second derivative of -k - 1/5*k**5 - w*k**2 + 0*k**4 + 1/2*k**3 + 0. Let b(q) = 0. Calculate q.
-1, 1/2
Let x(w) = 5*w**2 + 9*w + 22. Let h(j) = 11*j**2 + 18*j + 45. Let i(b) = 4*h(b) - 9*x(b). Find v, given that i(v) = 0.
-6, -3
Let d = -5619 + 342749/61. Let g = 101/244 + d. Factor -1/4*a**3 + g*a - 1/4 + 1/4*a**2.
-(a - 1)**2*(a + 1)/4
Let t(s) = -s**2 + 60*s + 1312. Let j be t(-17). Let i be 10/(-45)*(-6)/4. Suppose -2*g**4 + 0 + 13/3*g**j + 4/3*g - 4*g**2 + i*g**5 = 0. Calculate g.
0, 1, 2
Let t be 1 - ((-6)/(-15) - (187/55 - 1)). Factor 2/9*a**t + 0*a**2 + 4/9 - 2/3*a.
2*(a - 1)**2*(a + 2)/9
Let w(g) be the third derivative of -g**7/210 - g**6/15 - 7*g**5/60 + 73*g**2. Factor w(p).
-p**2*(p + 1)*(p + 7)
Let c(u) be the second derivative of u**5/40 + u**4/24 - 7*u**3/4 - 45*u**2/4 - u - 1. Let c(i) = 0. What is i?
-3, 5
Let r = -