6 - 5*m**2 - 15*m + 6. Solve z(r) = 0 for r.
1/3, 1, 2
Let j(q) = -q**2 - 2. Let a(d) = -4*d**3 - 13*d**2 - 2. Let y(o) = a(o) - j(o). Factor y(u).
-4*u**2*(u + 3)
Let z(j) be the second derivative of 0*j**2 + 5/18*j**4 + 2/15*j**5 + 1/45*j**6 + 2/9*j**3 + 17*j + 0. Factor z(o).
2*o*(o + 1)**2*(o + 2)/3
Let q = 289/42 - 87/14. Determine b so that q*b + 8/15*b**2 + 4/15 + 2/15*b**3 = 0.
-2, -1
Suppose -4*r - 4 = -3*z, -5*z + 4*z + 4*r = 12. Suppose -2 = 7*y - z*y. Factor -2/3*m**3 + 0*m**2 + 4/3 + y*m.
-2*(m - 2)*(m + 1)**2/3
Solve 0 + 4/3*v**2 - 8/3*v = 0 for v.
0, 2
Let s(i) be the first derivative of 0*i**2 - 5 - 1/6*i**3 + 3/20*i**5 + 3/16*i**4 - 1/12*i**6 + 0*i. Solve s(p) = 0.
-1, 0, 1/2, 2
Let s = -857 + 860. Let -10/3*k + 2/3*k**2 + 2 + 2/3*k**s = 0. What is k?
-3, 1
Let m(h) be the first derivative of -h**5/5 - 5*h**4/4 + h**3/3 + 5*h**2/2 + 296. Factor m(c).
-c*(c - 1)*(c + 1)*(c + 5)
Let 0 - 5/2*d**3 - 5/2*d**2 + 0*d = 0. What is d?
-1, 0
Suppose 18*h**3 + 8*h**3 + 5*h**4 + 9*h**3 + 118*h**2 - 23*h - 43*h**2 + 68*h = 0. Calculate h.
-3, -1, 0
Factor 58/19*c**2 - 2/19*c**3 - 518/19*c + 1470/19.
-2*(c - 15)*(c - 7)**2/19
Let j(i) = -i**3 + 15*i**2 + 2*i - 44. Let w be j(15). Let u be (-4)/10 - -51*w/(-735). Solve -4/7*a**2 + u*a + 0 = 0 for a.
0, 1
Let t(j) = 5*j**2 - j. Let s be t(-1). Find i such that -1 + 1 - 8*i**2 + 2 - s - 18*i = 0.
-2, -1/4
Let c(o) = o**3 + 2*o**2 + o - 1. Let y(q) = 2*q**3 - 3*q**2 + 13*q - 3. Let n(r) = 3*c(r) - y(r). Find a, given that n(a) = 0.
-10, 0, 1
Let p = -9543 + 9545. Factor -3/2*w**p + 5/4*w + 0 + 1/4*w**3.
w*(w - 5)*(w - 1)/4
Let p(a) = -a**3 + 6*a**2 + 8*a - 1. Let b be p(7). Let q be -1 + (0 - 12)/(-2). Factor -6*v - b*v**5 + 32*v**2 - 15*v**4 + 3*v**q - 27*v**3 - 53*v**2.
-3*v*(v + 1)**3*(v + 2)
Let x be (52/91 - 45/(-7)) + -3. Suppose -u - 4 = -2*u. Solve 4*a**u + x*a**4 - 12*a + 12*a**3 - a**4 - 6*a**2 + 2*a**4 - 3 = 0 for a.
-1, -1/3, 1
Let v(s) be the second derivative of 8/5*s**2 - 1/30*s**4 + 0 - 2/15*s**3 + 30*s. Factor v(k).
-2*(k - 2)*(k + 4)/5
Let n = 185/78 - 27/26. Let d(l) be the first derivative of -7 - 1/2*l**4 - 4*l + n*l**3 + l**2. Find p such that d(p) = 0.
-1, 1, 2
Factor -714*y**3 + 7*y - 8*y - 6*y**2 + 24 + 717*y**3 - 11*y.
3*(y - 2)**2*(y + 2)
Suppose -2*f**2 - f + 0 - f**3 + 2*f + 2 = 0. Calculate f.
-2, -1, 1
Let r(k) be the third derivative of k**6/60 + k**5/10 + k**4/6 + 2*k**2 - 11. Factor r(x).
2*x*(x + 1)*(x + 2)
Let x(i) be the second derivative of -4*i - 1/147*i**7 + 0*i**6 + 0 + 0*i**2 + 0*i**4 + 1/70*i**5 + 0*i**3. Factor x(d).
-2*d**3*(d - 1)*(d + 1)/7
Suppose -l - 3*l = -48. Suppose 5*g + p - l = 0, 5*p + 21 = 5*g + 3*p. Find y, given that -3*y**4 + y**5 + 2*y + y**3 - 4*y**5 - g*y**2 - 2*y**2 + 8*y**4 = 0.
-1, 0, 2/3, 1
Let l(h) be the third derivative of h**6/60 - h**4/12 - 31*h**2 - h. Factor l(m).
2*m*(m - 1)*(m + 1)
Let t(g) = -5*g**5 + 91*g**4 - 121*g**3 + 44*g**2 - 9. Let h(y) = -y**5 + 2*y**4 + y**3 + y**2 - 3. Let a(r) = 6*h(r) - 2*t(r). Find i such that a(i) = 0.
0, 1/2, 1, 41
Let i be 2/4*(-2 - 12). Let h(o) = 4*o**5 - 9*o**4 - 8*o**3 + 5*o + 5. Let j(r) = 6*r**5 - 13*r**4 - 12*r**3 + 7*r + 7. Let q(t) = i*h(t) + 5*j(t). Factor q(y).
2*y**3*(y - 2)*(y + 1)
Suppose -5*l + 5*z - 14 - 11 = 0, -3*z = 5*l - 31. Suppose -2*c - 3*t = 9, -t = -5*c + 3*t + 12. Find v, given that -4/9*v + c - 2/9*v**l = 0.
-2, 0
Let y = 55/312 + -2/39. Let c = -23 - -26. Find i such that 1/4*i**c + 1/8*i**4 + 0 + 0*i + y*i**2 = 0.
-1, 0
Let h(v) be the second derivative of -v**4/3 + 10*v**3/3 + 12*v**2 - 74*v. Let h(b) = 0. What is b?
-1, 6
Let t(m) = -m + 13. Suppose 3*r - 3*c = 30, -3*r + 0*c - c + 42 = 0. Let i be t(r). Factor 6/5*o**3 + 3/5*o**5 + 9/5*o**4 + 0 + 0*o + i*o**2.
3*o**3*(o + 1)*(o + 2)/5
Let p(s) be the first derivative of 0*s - 1/10*s**4 + 2/15*s**3 + 0*s**2 - 50. Factor p(n).
-2*n**2*(n - 1)/5
Suppose 2 = 3*o - 2*j - 3*j, -3*o + 22 = 5*j. Let d(t) be the first derivative of -2/3*t**2 + 6 - 4/9*t**3 + 0*t - 1/12*t**o. What is u in d(u) = 0?
-2, 0
Let p be 8/((-36)/(-4) + -3). Factor 8/3 + 4/3*b**3 - 4*b**2 + 4/3*b**4 - p*b.
4*(b - 1)**2*(b + 1)*(b + 2)/3
Let c be ((-225)/11)/(-5) + (-9)/99. Let h(y) be the second derivative of 3*y + 0 - 7/78*y**c + 2/65*y**5 + 1/13*y**2 + 2/39*y**3. Find d, given that h(d) = 0.
-1/4, 1
Let d(n) = -5*n**2 - n - 1 + 10*n**2 - 6*n**2 - n**3. Let c(r) = 4*r**3 + r**2 + 3*r + 3. Let m(s) = -c(s) - 3*d(s). Let m(b) = 0. Calculate b.
0, 2
Let u(f) be the first derivative of f**6/48 + f**5/40 + f**3/3 + 5. Let w(o) be the third derivative of u(o). What is s in w(s) = 0?
-2/5, 0
Factor 132/5*f + 4/5*f**4 + 268/5*f**2 + 0 + 28*f**3.
4*f*(f + 1)**2*(f + 33)/5
Let z be ((-2)/(-2))/((-17)/(-17)). Let y be 4*(z - (0 + -1)). Factor 9*p**4 - 4*p**2 + 2*p - y*p**4 + p**2.
p*(p - 1)**2*(p + 2)
Factor 252*f**2 - 41941 + 54159 + 135958 + 10584*f + 2*f**3.
2*(f + 42)**3
Let q(p) be the third derivative of 1/20*p**5 + 0*p - 13*p**2 - 1/8*p**4 + 0 - 3*p**3. Factor q(h).
3*(h - 3)*(h + 2)
Let f(p) be the third derivative of 3*p**7/70 + 37*p**6/40 + 6*p**5 + 9*p**4/2 + 237*p**2. Factor f(n).
3*n*(n + 6)**2*(3*n + 1)
Let l be 112/(-40)*(-105)/6. Suppose 3*u = -l + 58. Factor -4/3*c**2 + 2/3*c + 4/3 - 2/3*c**u.
-2*(c - 1)*(c + 1)*(c + 2)/3
Let z(u) be the second derivative of u**4/42 - u**3/21 - 7*u + 3. Factor z(x).
2*x*(x - 1)/7
Let h(q) be the third derivative of q**10/2160 - q**9/840 + q**8/1680 + q**4/24 + 3*q**2. Let r(s) be the second derivative of h(s). Factor r(a).
2*a**3*(a - 1)*(7*a - 2)
Let j = 155501/35 - 4439. Let q = j - 18/5. Factor -q*z**3 - 2/7*z - 4/7*z**2 + 0.
-2*z*(z + 1)**2/7
Let j be (42/(-105))/(-3*(-6)/(-70)). Factor -j*g - 10/3*g**2 - 2/9 - 2*g**3.
-2*(g + 1)*(3*g + 1)**2/9
Let j be ((-7)/(-84))/((-21)/(-56)). Factor j*k**5 + 2/9*k**2 + 2/3*k**3 + 0*k + 2/3*k**4 + 0.
2*k**2*(k + 1)**3/9
Let x be 28/2*4/14. Suppose 3*d - g - 52 = -2*g, 0 = x*g + 20. Factor 9*h**3 + 27*h + 7*h**2 + 6 + d*h**2 + 4*h**2.
3*(h + 1)*(h + 2)*(3*h + 1)
Let z be (-4 - (-10)/5)*(-14 + 13). Solve z*y + 0 - 2/3*y**2 = 0 for y.
0, 3
Let f = 1565/3 + -526. Let d = 14/3 + f. What is p in -4/3*p + 4/3 + d*p**2 = 0?
2
Let y = 71/17 + -6495/1547. Let q = y - -101/455. Let -1/5*p**2 + 0 + q*p = 0. Calculate p.
0, 1
Let x(v) = 9*v + 40. Let n be x(-4). Let r(z) be the first derivative of -3 - 1/5*z**3 + 1/20*z**n - 1/2*z**2 + 1/25*z**5 - 2/5*z. Suppose r(i) = 0. What is i?
-1, 2
Let d = -61808/165 - -4122/11. Factor -8/15 - 6/5*v - 4/5*v**2 - d*v**3.
-2*(v + 1)**2*(v + 4)/15
Let d(i) = -i**3 + i**2 + i - 1. Suppose t + 0 + 1 = 0, -3*r = -5*t + 49. Let k(n) = -6*n**3 + 22*n**2 + 13*n - 9. Let s(v) = r*d(v) + 2*k(v). Factor s(u).
2*u*(u + 4)*(3*u + 1)
Let q(k) be the first derivative of -k**6/120 + k**5/40 - k**3/12 + k**2/8 + 16*k + 8. Let v(r) be the first derivative of q(r). Find o such that v(o) = 0.
-1, 1
Let b = -1075/4 + 269. Let k(c) be the first derivative of 0*c**2 - b*c**4 + 0*c**3 + 0*c + 1. Suppose k(u) = 0. Calculate u.
0
Let n = 16 + -22. Let q = -4 - n. Find k such that -k**q - k**2 + 4*k**2 = 0.
0
Suppose 0*d + d + 7*d = 0. Let f(z) be the first derivative of -1/8*z**4 + 1/12*z**6 + 1/3*z**3 - 1/5*z**5 + 1 + d*z**2 + 0*z. Factor f(x).
x**2*(x - 2)*(x - 1)*(x + 1)/2
Let a(b) = 7*b - 3. Suppose 3*x = -2*x + 5. Let q be a(x). Determine p so that 5*p**3 - 17*p**3 - 8*p**q + 4*p**3 + 10*p**3 + 8*p**5 = 0.
0, 1/2
Let t(g) be the first derivative of -70/3*g**2 + 352/9*g**3 + 16/3*g - 16*g**4 - 7. Factor t(w).
-4*(3*w - 4)*(4*w - 1)**2/3
Suppose 0 = 3*s, -3*f + 2*s = 4*s - 6. Let b be 3 + (-3 - f - -4). Factor b*w - 3 - w**2 + 3*w**2 - 4*w**2 + 7.
-2*(w - 2)*(w + 1)
Let d(w) = -7*w**2 + w + 10. Let c(g) = 3*g + g - g - g + 11 - 8*g**2. Let v = -2 + 7. Let q(r) = v*d(r) - 4*c(r). Factor q(s).
-3*(s - 1)*(s + 2)
Let h(y) be the second derivative of -y**4/30 + 7*y**3/15 - 6*y**2/5 - 58*y. Let h(m) = 0. What is m?
1, 6
Let y(v) be the third derivative of -v**5/20 - 3*v**4/4 + 7*v**3/2 - 38*v**2 - 2*v. Factor y(p).
-3*(p - 1)*(p + 7)
Let b(o) be the third derivative of 1/840*o**7 + 1/80*o**6 + 0*o**3 + 1/20*o**5 + 1/12*o**4 + 0*o + 0 - 11*o**2. Factor b(s).
s*(s + 2)**3/4
Let y be 4/18 + ((-1328)/1764 - 0). Let w = -3/98 - y. What is z in 5/4*z + 1/2 + w*