 327*v - 4*v**2 - 132*v.
-(v - 1)**3*(v + 6)*(8*v - 1)
Suppose 4*d + j - 7 = 0, -d + 0*d + j + 3 = 0. What is n in -4 - 2*n**3 - 9*n**2 + 2*n + 10*n**d + 3*n**2 = 0?
-1, 1, 2
Let k = -5 - -18. Let m = -13 + k. Factor -2*r - 4 + m*r**2 - 6*r + 12*r**2.
4*(r - 1)*(3*r + 1)
Let w(u) be the second derivative of -u**8/3360 - u**7/630 - 11*u**4/12 + 2*u. Let l(z) be the third derivative of w(z). Factor l(i).
-2*i**2*(i + 2)
Factor -6/7*z**2 - 12 + 130/7*z.
-2*(z - 21)*(3*z - 2)/7
Let x(a) be the third derivative of a**5/100 - a**4/20 + a**3/10 - a**2 + 4*a. Solve x(b) = 0 for b.
1
Let h(b) be the first derivative of -21/2*b**2 - 7*b**3 - 22 - 6*b - 3/2*b**4. Factor h(i).
-3*(i + 1)*(i + 2)*(2*i + 1)
Let n(p) = -72*p + 5952. Let g be n(80). What is a in 57*a**2 + 33/4*a**4 + 312*a - 3/8*a**5 + g - 435/8*a**3 = 0?
-1, 8
Let j(f) be the second derivative of -f**7/504 + f**6/48 + f**5/6 + 7*f**4/4 - 2*f. Let m(u) be the third derivative of j(u). Factor m(b).
-5*(b - 4)*(b + 1)
Let c(r) be the second derivative of 9*r**5/5 + 947*r**4/3 + 764*r**3 + 416*r**2 - 515*r - 2. Let c(g) = 0. What is g?
-104, -1, -2/9
Let g(d) be the second derivative of -d**4/72 - 4*d**3/9 - 5*d**2/4 - 3*d - 5. Let g(v) = 0. What is v?
-15, -1
Let m be 3 + (-6)/3 + 2. Solve 0*k**m - 92*k**2 + 92*k**2 - 4*k**3 = 0 for k.
0
Suppose 1/3*c**5 + 12 + 11/3*c**4 + 32*c + 47/3*c**3 + 97/3*c**2 = 0. Calculate c.
-3, -2, -1
Suppose 5*a - 7 - 18 = 0. Suppose -a*k + 16 - 6 = 0. Determine q so that 2*q**2 - q**2 + 2*q**k - 6*q + 3 = 0.
1
Suppose -238 = -94*n + 44. Solve 0*r**2 + 0 - 2/3*r**5 + 2*r**n + 0*r - 4/3*r**4 = 0 for r.
-3, 0, 1
Let u(a) be the third derivative of -a**9/30240 - a**8/10080 - 2*a**5/15 + a**3/6 - 50*a**2. Let z(x) be the third derivative of u(x). What is w in z(w) = 0?
-1, 0
Let s = -3 + 9. Suppose -n - 4*y + s = -4, 0 = -4*n + 4*y. Factor z**3 + z**3 - n*z**5 - 6*z**4 - 6*z**3.
-2*z**3*(z + 1)*(z + 2)
Let r(i) be the first derivative of i**6/14 - 3*i**5/7 + 6*i**4/7 - 4*i**3/7 + 146. Suppose r(a) = 0. What is a?
0, 1, 2
Let d(m) be the second derivative of -1/15*m**4 + 0 - 4*m + 8/15*m**3 - 8/5*m**2. Factor d(a).
-4*(a - 2)**2/5
Let v(x) = -2*x**3 + 2*x + 2. Let r(s) = 10*s**3 - 11*s - 11. Let m = 5 + -16. Let b(n) = m*v(n) - 2*r(n). Factor b(q).
2*q**3
Factor -21*m + 147 + 3/4*m**2.
3*(m - 14)**2/4
Let v = 210137/15 + -14009. Factor 0 - 4/15*m + v*m**2 + 2/15*m**3.
2*m*(m - 1)*(m + 2)/15
Let i(g) be the third derivative of -g**9/362880 - g**8/17280 - g**7/5040 - 23*g**5/30 - 15*g**2 - 2*g. Let m(y) be the third derivative of i(y). Factor m(u).
-u*(u + 1)*(u + 6)/6
Let n be (-24721)/1676 - (-32)/2. Factor 7/4 - 7/4*r**2 - 5/4*r**3 + n*r.
-(r - 1)*(r + 1)*(5*r + 7)/4
Let n(m) be the third derivative of -m**7/504 + m**5/24 + 17*m**4/24 + 19*m**2. Let j(c) be the second derivative of n(c). Factor j(b).
-5*(b - 1)*(b + 1)
Let t(i) be the second derivative of 3*i**5/40 - 9*i**4/4 - 19*i**3/4 - 278*i. Factor t(l).
3*l*(l - 19)*(l + 1)/2
Let 4*t**2 - 128/5 + 2/5*t**3 + 16/5*t = 0. Calculate t.
-8, -4, 2
Let x = -26 + 29. Let k = -6 + 12. Factor -x*f**3 + k*f**3 + 0*f**5 - 4*f - 4*f**5 + 5*f**3.
-4*f*(f - 1)**2*(f + 1)**2
Let w = -1 - -2. Let u(p) = 5*p**2 - 3*p + 2. Let m be u(w). Factor 31*i**2 + 1 + 21*i**4 - 3*i**2 - 5*i**m - 9*i - 36*i**3.
(i - 1)*(2*i - 1)**2*(4*i - 1)
Find a such that 13*a - 15 - 21 + 6 - 44*a**2 + 43*a**2 = 0.
3, 10
Suppose 14*b - 4*b - 20 = 0. What is k in 3*k**4 + 1447 - 3*k**3 + 3*k**5 - 3*k**b - 1447 = 0?
-1, 0, 1
Let z(v) be the first derivative of v**6/24 - v**5/20 - 5*v**4/16 + v**3/12 + v**2 + v + 30. Let z(n) = 0. Calculate n.
-1, 2
Let t = -93/35 + 19/5. Factor 2/7*j**2 + 6/7 + t*j.
2*(j + 1)*(j + 3)/7
Let x(y) = 9*y**3 - y**2 + 2*y - 1. Let d be x(1). Solve -4 + d + o**2 - 5*o**2 - o**2 = 0.
-1, 1
Let t(h) = 28*h + 451. Let p be t(-16). Let z(n) be the first derivative of 1/12*n**4 + 12 + 0*n**2 + 0*n + 0*n**p. Suppose z(y) = 0. Calculate y.
0
Determine a, given that -48*a**2 - 285/4*a**3 - 75/4*a**4 + 0 - 9*a = 0.
-3, -2/5, 0
Let s(z) = z**2 + 110*z + 821. Let u be s(-8). Determine q so that 1 - 3/2*q**4 + 23/8*q**3 - 9/8*q**u + 27/4*q**2 + 9/2*q = 0.
-1, -2/3, 2
Let z(u) = u - 3. Let q be z(2). Let x(w) = -4*w**3 + 2*w**2 + w. Let s be x(q). Factor -s*r**3 + r + 5*r**3 + 45*r**2 - 1 - r**3 - 44*r**2.
-(r - 1)**2*(r + 1)
Let b(x) be the third derivative of -x**8/80640 + x**7/6720 + x**6/720 + 7*x**5/20 + 15*x**2. Let j(o) be the third derivative of b(o). Factor j(w).
-(w - 4)*(w + 1)/4
Let k(v) be the first derivative of -v**4/84 + v**2/14 + 13*v + 3. Let p(t) be the first derivative of k(t). Factor p(l).
-(l - 1)*(l + 1)/7
Solve 45*h**2 + 0*h**4 + 12*h**3 + h**4 - 53*h**2 - 5*h**4 = 0 for h.
0, 1, 2
Let v be (-6)/(-39) - (-1026)/936. Factor 0*c - v + 5/4*c**2.
5*(c - 1)*(c + 1)/4
Let m(h) be the second derivative of -h**5/210 - h**4/28 + 4*h**3/21 - 27*h**2/2 - 11*h. Let p(r) be the first derivative of m(r). Let p(v) = 0. What is v?
-4, 1
Let c(x) be the first derivative of -21 - 6*x + 5/2*x**2 + 1/3*x**3. Factor c(s).
(s - 1)*(s + 6)
Suppose 0 = 4*z - 6*z - 0*z. Let n be z/(-3 - (-1 + (2 - 3))). Factor 3*r**3 + 6/5*r**2 + 0 - 21/5*r**4 + n*r.
-3*r**2*(r - 1)*(7*r + 2)/5
Let q be (-1 - 4)/(1 + -2). Let x be ((-22)/26 - (-8)/(-52))*-4. Solve j - j**x + j**2 - 4*j**3 - q + 3*j**3 + 5 = 0 for j.
-1, 0, 1
Let m(t) = -26*t - 38. Let u be m(-7). Factor -u*d**2 + 432 + 14*d**3 - 2*d**4 + 20*d**3 - 87*d**2 + 51*d**2 + 216*d.
-2*(d - 6)**3*(d + 1)
Let s(m) be the second derivative of 0 - 1/3*m**3 + 1/4*m**4 + 0*m**2 + 1/20*m**5 + 1/42*m**7 - 1/10*m**6 - 20*m. Factor s(g).
g*(g - 2)*(g - 1)**2*(g + 1)
Let f be 1/(3 + -1)*244/(-10). Let s = f + 63/5. Factor 1/5*a**5 + s*a**2 - 3/5*a - 3/5*a**4 + 2/5*a**3 + 1/5.
(a - 1)**4*(a + 1)/5
Let y be (-20)/24*-3 + 3/2. Let -2 - f - 34 + 25*f - y*f**2 = 0. Calculate f.
3
Suppose 0 = -16*m + 18*m + 6, 4*w = -5*m - 15. Let r = 113 + -563/5. Factor -r*o**2 + w - 4/5*o.
-2*o*(o + 2)/5
Let d(t) = t**3 + 3*t - 4*t**2 - 11*t - 4*t**2 + 6*t**2 + 20. Let k be d(3). Find s, given that 1/3 + 11/3*s**3 - 4/3*s**2 + 5/6*s**k - 1/2*s - 3*s**4 = 0.
-2/5, 1
Suppose -14/11*w**3 + 80/11*w**2 + 0 + 24/11*w = 0. Calculate w.
-2/7, 0, 6
Let s(l) = 631*l - 5676. Let d be s(9). Factor -3/2*h**5 + 0*h**2 + 0 - 3/2*h**3 - d*h**4 + 0*h.
-3*h**3*(h + 1)**2/2
Let h(n) be the first derivative of n**6/180 + n**5/10 + 3*n**4/4 - 3*n**3 + 8. Let f(j) be the third derivative of h(j). Solve f(x) = 0 for x.
-3
Let z(d) be the second derivative of d**6/30 - 13*d**5/5 - 27*d**4/2 - 82*d**3/3 - 55*d**2/2 + 4*d + 43. Factor z(o).
(o - 55)*(o + 1)**3
Let q(x) be the third derivative of -x**7/1260 - x**6/240 + x**2 + 33. Let q(l) = 0. Calculate l.
-3, 0
Let y(b) = 6*b**4 + 4*b**3 - 2*b**2. Let q(u) = 17*u**4 + 12*u**3 - 6*u**2 - u. Let r be (0/(-8))/(1 - 0) - -4. Let p(d) = r*q(d) - 11*y(d). Factor p(o).
2*o*(o - 1)*(o + 1)*(o + 2)
Let w(h) = -2*h**2 - 6*h + 1. Let q(k) = -k**2 + k - 1. Let o(i) = -q(i) - w(i). Let v(f) = -8*f**2 - 14*f. Let c(d) = -17*o(d) - 6*v(d). Factor c(g).
-g*(3*g + 1)
Let p(s) = -s**3 - 11*s**2 - s + 5. Let x be p(-11). Factor i**3 + 31*i**2 + i**4 - i - x*i**2 - 16*i**2.
i*(i - 1)*(i + 1)**2
Let q be ((-3)/(-3))/(6/(-9) - -1). Let t(n) be the second derivative of 0 - 4*n - 1/10*n**5 - n**2 + 1/6*n**4 + 1/3*n**q. Factor t(w).
-2*(w - 1)**2*(w + 1)
Let a(y) = y**3 - 7*y**2 - 13*y - 42. Let i be a(9). Determine x, given that -4/5*x**4 - 12/5*x + 12/5*x**i - 4/5*x**2 + 8/5 = 0.
-1, 1, 2
Let k be (-5 + 55/12)*(-8)/500. Let w(d) be the third derivative of k*d**5 + 0*d**3 + 7*d**2 + 1/600*d**6 + 0*d + 1/120*d**4 + 0. Determine l so that w(l) = 0.
-1, 0
Let w be (9/(-63) - 0)*21/(-6). Factor j**2 + 1/2*j**5 - j**4 - w*j + 0 + 0*j**3.
j*(j - 1)**3*(j + 1)/2
Let x(s) = -6*s**4 + 8*s**3 - 8*s**2 - s. Let q(l) = 12*l**4 + l**2 - 5*l**4 - 2*l**3 + l**3 - 6*l**4. Let z(o) = -21*q(o) - 3*x(o). Factor z(p).
-3*p*(p - 1)*(p + 1)**2
Suppose -5*q + 8 = 4*a, -4*q + 9*q = 5*a + 35. Let z(u) be the second derivative of 1/3*u**q + 0*u**3 - 5*u + 0*u**2 + 2/15*u**6 - 2/5*u**5 + 0. Factor z(v).
4*v**2*(v - 1)**2
Let a(z) = -z**2 - 7*z + 30. Let k be a(-10). Factor -3 + 26*v**2 - 14*v**2 + 9*v + k.
3*(v + 1)*(4*v - 1)
Let n(b) be the second deri