2 + 8*g. Let q be d(-2). Factor -l - 2*l**2 - 2*l**q - 1 - l**2 + 7*l**2.
(l - 1)*(2*l + 1)
Let v(d) be the first derivative of d**6/90 - d**5/15 - 2*d**3 + 9. Let b(a) be the third derivative of v(a). Solve b(z) = 0.
0, 2
Let w(y) be the second derivative of -y**7/6720 + y**6/2880 + y**5/480 - 5*y**3/6 + 5*y. Let d(k) be the second derivative of w(k). Factor d(o).
-o*(o - 2)*(o + 1)/8
Factor 1 + 37 + 26 - 4*u**2 + 6*u**2 + 24*u.
2*(u + 4)*(u + 8)
Let z be (-4)/(24/2)*45/(-590). Let w = z - -203/1298. Factor -2/11*r**3 + 0*r + 2/11*r**4 - w*r**2 + 0 + 2/11*r**5.
2*r**2*(r - 1)*(r + 1)**2/11
Let p = 2741 + -21927/8. Factor 1/4*h - p - 1/8*h**2.
-(h - 1)**2/8
Let 9700*p**3 - 19 + 15*p - p**4 + 1 - 9703*p**3 + 10*p**2 + 0 - 3*p**2 = 0. What is p?
-3, 1, 2
Let c(b) be the third derivative of b**7/210 - b**6/40 - b**5/60 + b**4/8 + 69*b**2 + 2*b. Determine g, given that c(g) = 0.
-1, 0, 1, 3
Let z be (-80)/(-24) + (-1)/3. Let f(m) = 7*m**2 - 2 - 5 - 2*m**3 - z*m + 5*m. Let k(u) = -u**3 + 3*u**2 + u - 3. Let x(j) = 2*f(j) - 5*k(j). Factor x(v).
(v - 1)**2*(v + 1)
Let w(j) be the first derivative of -4*j**3/15 - 6*j**2/5 - 8*j/5 + 1. Factor w(o).
-4*(o + 1)*(o + 2)/5
Let a(f) be the second derivative of f**7/42 - 14*f**6/15 + 101*f**5/20 - 61*f**4/6 + 8*f**3 + 2*f + 251. Factor a(s).
s*(s - 24)*(s - 2)*(s - 1)**2
Let j = 2/10779 + 21536/118569. What is g in 2/11 - j*g**3 + 2/11*g - 2/11*g**2 = 0?
-1, 1
Suppose -40*v - 69 = -149. Factor 0*g + 4/3*g**2 + 0 + v*g**3 + 2/3*g**4.
2*g**2*(g + 1)*(g + 2)/3
Let s = 54643/5 - 10919. Let -s*v + 8 + 18/5*v**2 - 2/5*v**3 = 0. What is v?
2, 5
Suppose -2*q - 5 = -3*b, -4*q + 13 = b + 2. Let 5*o**3 + 1598*o - 113*o**q - 8640 - 2*o**2 + 562*o - 65*o**2 = 0. What is o?
12
Let r(t) be the first derivative of t**6/42 - 6*t**5/35 + 3*t**4/7 - 10*t**3/21 + 3*t**2/14 - 226. Determine i, given that r(i) = 0.
0, 1, 3
Let o be 15/20 + ((-376)/(-96) - 2). Let n(j) be the second derivative of -o*j**3 + 2/5*j**5 + 0 + 8*j + 2/15*j**6 + 8*j**2 - j**4. Let n(f) = 0. What is f?
-2, 1
Let l(y) be the first derivative of 2*y - 1 + 8/9*y**3 - 7/3*y**2. Determine t so that l(t) = 0.
3/4, 1
Let o(m) = 29*m**3 - 149*m**2 + 300*m - 171. Let h(d) = -7*d**3 + 37*d**2 - 75*d + 43. Let k(q) = 9*h(q) + 2*o(q). Find y such that k(y) = 0.
1, 3
Let n(p) be the first derivative of -5*p**3/3 - 140*p**2 - 3920*p + 169. Find x such that n(x) = 0.
-28
Let r(p) be the second derivative of 9/20*p**5 + 0 - 3/2*p**3 - 3*p**2 - 3*p + 1/10*p**6 + 1/4*p**4. Factor r(z).
3*(z - 1)*(z + 1)**2*(z + 2)
Let s(w) = w**2 + w - 1. Suppose -14*i - 122 = 158. Let f(y) = -2*y**3 + 6*y**2 + 8*y - 10. Let r(m) = i*s(m) + 2*f(m). Factor r(p).
-4*p*(p + 1)**2
Let s be (-49 - -17)*4/(-16). Let b(g) be the third derivative of -2/33*g**3 - s*g**2 + 1/220*g**6 + 0*g + 0 - 4/165*g**5 + 7/132*g**4. Solve b(h) = 0.
2/3, 1
Factor -23/3*j**3 - 1/6*j**5 + 10*j**2 + 0 + 2*j**4 - 25/6*j.
-j*(j - 5)**2*(j - 1)**2/6
Suppose -4*a + 29 = 5*l + 1, 12 = l + 4*a. Let g(k) be the first derivative of 0*k - 2/3*k**3 + 2/3*k**2 - l. Factor g(n).
-2*n*(3*n - 2)/3
Let y(c) be the first derivative of -c**6/40 - c**5/12 - c**4/24 + c**3/6 + 9*c**2 + 9. Let v(a) be the second derivative of y(a). Solve v(i) = 0 for i.
-1, 1/3
Let z(l) = -3*l**4 + 9*l**3 + 6*l**2 - 3*l - 3. Let j(c) = -3*c**4 + 8*c**3 + 7*c**2 - 2*c - 2. Let b(v) = -3*j(v) + 2*z(v). Factor b(r).
3*r**2*(r - 3)*(r + 1)
Let o(d) be the first derivative of d**6/120 + 3*d**5/20 + 5*d**4/8 + 5*d**3/3 - 27. Let z(g) be the third derivative of o(g). Factor z(r).
3*(r + 1)*(r + 5)
Let z = -61661/5 - -12333. Factor -12/5*q**2 + 4/5*q**3 - z + 12/5*q.
4*(q - 1)**3/5
Let u(x) = 7*x**3 - 2*x. Let w(v) = -3*v**3 + v. Suppose -2*n = -d - 57, 5*d + 38 = 2*n - 39. Let y = n - 21. Let p(s) = y*w(s) + 2*u(s). Factor p(l).
-l*(l - 1)*(l + 1)
Let s = 851/35 + -166/7. Factor -3/5*j + 0 + 0*j**2 + 0*j**4 - s*j**5 + 6/5*j**3.
-3*j*(j - 1)**2*(j + 1)**2/5
Let i(k) = 0*k**2 + k**2 - 5*k + 5*k + 11*k + 4. Let q be i(-11). Factor -1 + 3*g + g**3 - g**5 - 3*g**3 + 0*g**4 + q*g**4 - g**4 - 2*g**2.
-(g - 1)**4*(g + 1)
Suppose 0 = 3*o - 5*q - 114, o = -2*o - 4*q + 114. Suppose 5*a + 38 - o = 0. Suppose 1/7*b**5 + 1/7*b + a*b**2 + 0 + 0*b**4 - 2/7*b**3 = 0. Calculate b.
-1, 0, 1
Let v(n) = 84*n**5 + 208*n**4 - 124*n**3 - 936*n**2 + 32. Let p(f) = -13*f**5 - 32*f**4 + 19*f**3 + 144*f**2 - 5. Let b(c) = -32*p(c) - 5*v(c). Factor b(s).
-4*s**2*(s - 2)*(s + 3)**2
Let s(o) = -o**3 + o - 5. Let x(g) = g**2 - g + 1. Let n(u) = -s(u) - 5*x(u). Let n(t) = 0. What is t?
0, 1, 4
Let a(b) be the second derivative of b**5/80 + 3*b**4/16 + 5*b**3/6 + 3*b**2/2 - 817*b. Solve a(h) = 0 for h.
-6, -2, -1
Let d(y) = -5*y**2 - y - 2. Let k(p) = -1 - 1 - 4*p**2 + 62*p - 63*p. Let z(a) = 5*d(a) - 6*k(a). Factor z(n).
-(n - 2)*(n + 1)
Suppose 8*y - 6050 = -3*y. Factor 5*m**2 + 16*m + 5*m**2 + y + 2*m**3 - 542.
2*(m + 1)*(m + 2)**2
Let r(l) be the second derivative of 0*l**3 - 16*l + 1/24*l**4 - l**2 + 0. Factor r(f).
(f - 2)*(f + 2)/2
Factor -4/3*d**2 + 2/9*d**3 + 10/9*d + 8/3.
2*(d - 4)*(d - 3)*(d + 1)/9
Let x = 80 - 53. Let o be (3/8)/(x/36). Find m, given that 0*m + 0*m**2 - o*m**4 - m**3 + 0 = 0.
-2, 0
Suppose j - 5*u - 25 = 0, -23 + 33 = -2*j - 5*u. Let b(v) be the second derivative of 0*v**2 + 0 + 0*v**3 - 1/12*v**4 - 1/20*v**j + 6*v. Factor b(r).
-r**2*(r + 1)
Let o = 1688 - 1683. Determine k so that 20/9*k**3 + 10/9*k + 10/9*k**4 + 2/9*k**o + 2/9 + 20/9*k**2 = 0.
-1
Let p(d) = d**3 + 2*d**2 - 2*d + 4. Let f be p(-3). Let j = f - -2. Factor 5*c**j - 2*c**3 + 3*c**2 + 9*c**4 - 3*c**5 - 12*c**4.
-3*c**2*(c - 1)*(c + 1)**2
Let l(d) be the first derivative of d**4/8 + 7*d**3 + 99*d**2 - 484*d - 640. Determine g, given that l(g) = 0.
-22, 2
Let k(z) be the second derivative of -3*z**5/80 + z**4/32 + z**3/16 - 98*z. Factor k(x).
-3*x*(x - 1)*(2*x + 1)/8
Let w(x) be the first derivative of 1/3*x**3 - 7/2*x**2 + 0*x - 7/30*x**5 + 1/6*x**4 + 1/15*x**6 + 2. Let t(i) be the second derivative of w(i). Factor t(l).
2*(l - 1)**2*(4*l + 1)
Let r(o) be the second derivative of -7/12*o**3 + 1/4*o**4 + 0 + 1/4*o**2 + 15*o. Let r(v) = 0. What is v?
1/6, 1
Let q(f) = -2*f**3 - 16*f - 5*f**2 + f**3 + 21*f - 4. Let o be q(-6). Solve p - 5/4*p**o + 1/4 = 0 for p.
-1/5, 1
Suppose -2*z = -2*a - 4, 0*a = -3*a. Suppose 4*o + j - 5 = 0, -3*o + z*o + 11 = -3*j. Factor f**2 + 0*f**2 - 3 + 0*f - o*f.
(f - 3)*(f + 1)
Let o(q) be the third derivative of -1/20*q**5 + 0 + 21*q**2 + 5/8*q**4 - 2*q**3 + 0*q. Suppose o(d) = 0. What is d?
1, 4
Let f(b) be the first derivative of -2*b**6/3 + 4*b**5/5 + 6*b**4 + 8*b**3/3 - 10*b**2 - 12*b - 3. Let f(p) = 0. What is p?
-1, 1, 3
Let f(y) be the first derivative of y**5/24 - y**4/4 + 7*y**3/36 + y**2/2 - 15*y + 6. Let m(c) be the first derivative of f(c). Factor m(v).
(v - 3)*(v - 1)*(5*v + 2)/6
Let m(x) = -27*x**2 + 59*x - 234. Let b(p) = -5*p**2 + 12*p - 47. Let c(s) = -22*b(s) + 4*m(s). Factor c(z).
2*(z - 7)**2
Let v(r) be the first derivative of -r**5/15 - r**4 - 2*r**3 + 70*r**2/3 + 49*r - 528. Factor v(o).
-(o - 3)*(o + 1)*(o + 7)**2/3
Let v(x) be the second derivative of 0 - 16*x - 3/5*x**5 - 11/12*x**4 + 0*x**2 - 1/3*x**3 + 3/10*x**6. Solve v(n) = 0.
-1/3, 0, 2
Determine s, given that -35039 + 35039 - 4*s**3 - 28*s**2 + 32*s = 0.
-8, 0, 1
Suppose -5*u + 4*q = 3*q - 35, -3*q = -2*u + 14. Let j(g) = 8*g**2 - g - 7. Let y(i) = 7*i**2 - i - 6. Let k(c) = u*y(c) - 6*j(c). Factor k(a).
a*(a - 1)
Let a(v) = -v**2 + 6*v + 11. Suppose -39 - 3 = -6*d. Let k be a(d). Factor 3/8*b**2 + 0 + 0*b + 9/8*b**3 + 3/8*b**5 + 9/8*b**k.
3*b**2*(b + 1)**3/8
Suppose 20*r - 17*r - 6 = 0. Factor 57*i**4 - 23*i**r + 20*i - 42*i**4 + 5*i**3 - 17*i**2.
5*i*(i - 1)*(i + 2)*(3*i - 2)
Let k = 17 - 14. Suppose -k*f - 12 = 0, -3*c + f + 3 = 4*f. Factor 2*x**3 - 3*x**2 + 7*x**c - 7*x**4 + 9*x**4 + x**2 - 9*x**3.
x**2*(x - 1)*(x + 1)*(7*x + 2)
Let u(q) = 12*q**4 - 67*q**3 - 223*q**2 - 232*q - 73. Let p(h) = 7*h**4 - 33*h**3 - 111*h**2 - 116*h - 36. Let c(x) = -5*p(x) + 3*u(x). Factor c(n).
(n - 39)*(n + 1)**3
Suppose 2*c + 39 = 11*c - 42. Factor 3/2*w + 1 + c*w**3 - 23/2*w**2.
(w - 1)*(2*w - 1)*(9*w + 2)/2
Suppose -2*p = 12, p + 7 = 2*x - 9. Factor 0 + 1/2*f**x - f**4 + 0*f**2 + 0*f + 0*f**3.
f**4