+ 4*h(i). Factor s(j).
-3*j*(j + 1)
Suppose -1228/19*y**3 - 448/19 - 240/19*y + 234/19*y**4 + 10/19*y**5 + 88*y**2 = 0. Calculate y.
-28, -2/5, 1, 2
Let t(o) be the second derivative of -1/12*o**4 + 0 + 11*o + 1/3*o**3 - 1/2*o**2. Factor t(r).
-(r - 1)**2
Let w(d) be the first derivative of -3*d**5/4 - d**4/4 + 2*d**3 + 17*d + 14. Let q(s) be the first derivative of w(s). Factor q(n).
-3*n*(n + 1)*(5*n - 4)
Let h(i) be the second derivative of -1/90*i**6 - 1/12*i**4 - 1/15*i**5 + 0*i**2 + 0*i**3 + 0 - 17*i. Solve h(j) = 0 for j.
-3, -1, 0
Suppose -2/11*b**4 - 2496/11*b - 64/11*b**3 - 668/11*b**2 - 3042/11 = 0. Calculate b.
-13, -3
Let c(s) be the first derivative of 2*s**5/5 - 11*s**4/2 + 18*s**3 - 25*s**2 + 16*s - 90. Determine j so that c(j) = 0.
1, 8
Factor 2/15*m**2 - 8/15 - 2/5*m.
2*(m - 4)*(m + 1)/15
Solve 0 + 48/7*b + 24/7*b**2 + 3/7*b**3 = 0 for b.
-4, 0
Let l be 13 + -3 + 39 + -49. Let g(y) be the third derivative of 2*y**4 + l - 12*y**2 + 8/3*y**3 - 7/15*y**5 + 0*y. Let g(o) = 0. Calculate o.
-2/7, 2
Let c(g) be the first derivative of -g**3/6 + 19*g**2/2 - 45. Factor c(s).
-s*(s - 38)/2
Suppose -k + 0 = 1. Let n be k*(-3 + -2 + 2). Determine h so that 3*h + 10*h**4 - n*h + 14*h**3 - 7*h - 16*h**2 - h = 0.
-2, -2/5, 0, 1
Suppose 0*n = -2*n - 3*k + 15, -n - 5*k = -11. Let f be 0 - (3 - 4)*2. Solve 35*t**3 - 7*t**5 + 69*t**2 - f*t**3 - t**4 - 5*t**5 - 14*t**4 + 39*t + n = 0 for t.
-1, -1/4, 2
Let l(d) = -772*d**3 - 2351*d**2 - 192*d + 68. Let q(b) = 515*b**3 + 1567*b**2 + 129*b - 46. Let w(j) = -5*l(j) - 7*q(j). Factor w(a).
3*(a + 3)*(5*a + 1)*(17*a - 2)
Let l(h) be the third derivative of h**6/60 + 11*h**5/15 - 101*h**4/12 + 26*h**3 + 652*h**2. Find d such that l(d) = 0.
-26, 1, 3
Let q(a) = -a**3 - 8*a**2 + 11*a + 19. Let z be q(-8). Let w be 0 - z/(-18) - 16/(-4). What is u in 1/3*u**2 - 1/3*u**3 + w - 1/6*u**5 + 1/2*u - 1/2*u**4 = 0?
-1, 1
Let c = -16773 + 16778. Factor 0 - 1/8*z**c - 5/8*z**2 + 3/8*z**3 + 1/4*z + 1/8*z**4.
-z*(z - 1)**3*(z + 2)/8
Determine t, given that 256/17 + 2/17*t**3 + 160/17*t + 32/17*t**2 = 0.
-8, -4
Suppose -81*q = 16*q. Factor -8/7*i + 4/7*i**3 + q - 4/7*i**2.
4*i*(i - 2)*(i + 1)/7
Factor 11*a - 13*a - 484 + 4*a**5 + 485 + 7*a**4 - 2*a**3 - 8*a**2.
(a - 1)*(a + 1)**3*(4*a - 1)
Let x(b) be the second derivative of -b**6/720 + b**5/120 - b**4/48 + 17*b**3/3 + 11*b. Let y(h) be the second derivative of x(h). Suppose y(u) = 0. What is u?
1
Factor r**4 + 69*r**2 - 45*r**3 - 30*r + 10*r**5 + 2*r**4 - 7*r**5 + 0*r**4.
3*r*(r - 2)*(r - 1)**2*(r + 5)
Let x(u) = -4*u**5 + 120*u**4 - 312*u**3 + 280*u**2 - 108*u. Let h(g) = -g**4 + g**3 + g**2 + g. Let b(l) = 12*h(l) + x(l). Factor b(k).
-4*k*(k - 24)*(k - 1)**3
Let r be 0 - (-3 - (2 + -2)). Suppose 82*f**r - 14*f**2 - 2*f**4 - 9*f - 91*f**3 + 0*f**4 - 2 = 0. What is f?
-2, -1, -1/2
Let o(i) be the third derivative of i**11/1496880 - i**9/136080 + i**7/22680 + 17*i**5/30 + 22*i**2. Let x(n) be the third derivative of o(n). Factor x(k).
2*k*(k - 1)**2*(k + 1)**2/9
Let v(j) be the first derivative of 8*j**5/15 + j**4/2 - 2*j**3 + 2*j**2/3 + 43. Solve v(i) = 0 for i.
-2, 0, 1/4, 1
Let y(g) = -7*g**2 - 470*g - 17783. Let w(b) = 13*b**2 + 938*b + 35567. Let z(u) = -4*w(u) - 7*y(u). Let z(v) = 0. What is v?
-77
Let s(b) be the second derivative of -3*b**5/50 + 23*b**4/60 - 2*b**3/3 - 2*b**2/5 + 206*b. Factor s(r).
-(r - 2)**2*(6*r + 1)/5
What is h in -1/6*h**2 + 10/3 - 4/3*h = 0?
-10, 2
Let f(y) = 5*y**3 - 2*y**2 + 2*y - 1. Let p be f(1). Suppose -3*b + 3 = w - 8, 17 = p*w + 3*b. Let 6/11*r + 4/11 + 2/11*r**w = 0. Calculate r.
-2, -1
Let 11 + 7*q - 104 - 8 - 187 + 3*q**2 - 37*q = 0. Calculate q.
-6, 16
Suppose -c - 14 = -18. Suppose -4 - 12*a**5 + 4 - 124*a**2 + 12*a**3 - 3*a**c + 127*a**2 = 0. What is a?
-1, -1/4, 0, 1
Let w = -3539/4 - -885. Factor 0*v + w*v**3 + 0 + 1/2*v**2.
v**2*(v + 2)/4
Let g = 198/65 - 172/65. Factor -g*f**2 + 12/5*f - 16/5.
-2*(f - 4)*(f - 2)/5
Factor -171*m**4 + 339*m**4 - 173*m**4 - 405*m**2 - 90*m**3.
-5*m**2*(m + 9)**2
Let o(c) be the first derivative of -c**5/5 + 2*c**4 - 7*c**3 + 9*c**2 + 545. Factor o(k).
-k*(k - 3)**2*(k - 2)
Let q(u) be the second derivative of 1/22*u**5 - 14/11*u**2 - 7/11*u**4 - 3*u + 15 + 17/11*u**3. Determine n so that q(n) = 0.
2/5, 1, 7
Factor -76/5*l - 7/10*l**2 + 22/5.
-(l + 22)*(7*l - 2)/10
Determine s so that -20*s - 5*s**2 + 0 + 7*s**2 + 3*s**2 + 20 = 0.
2
Let o(g) = 58 - 22 - g - 24. Let f be o(9). Solve 6*i**3 - 2*i**f + 3*i + 7*i**2 - i**2 - i**3 = 0.
-1, 0
Let d be ((-7)/(-10))/(418/44 - 9). Factor -l**2 + 1/5*l**3 - 3/5 + d*l.
(l - 3)*(l - 1)**2/5
Suppose 47 = 11*n - 96. Determine m, given that -3*m**2 + n*m**2 + 2846*m**3 - 2851*m**3 - 5*m = 0.
0, 1
Let u(t) = t - 8. Let n be u(16). Determine a, given that -a**5 - 3*a**5 + 5*a**5 - n*a**4 - 5*a**5 = 0.
-2, 0
Let p(y) be the first derivative of -3*y**5/10 + 15*y**4/16 + y**3 - 9*y**2/2 + 67. Determine g, given that p(g) = 0.
-3/2, 0, 2
Let r be (144/(-126))/(-6*(-40)/(-168)). Solve -r*z**4 + 0*z**2 + 4/5*z**3 + 0*z + 0 = 0 for z.
0, 1
Let n = 4329 + -16651/4. Let u = 167 - n. Let -3/8*p**5 - 3/8*p + u*p**3 - 3/8*p**4 + 3/4*p**2 - 3/8 = 0. What is p?
-1, 1
Let j(a) be the first derivative of -2*a**3/15 + 5*a**2 + 535. Find r, given that j(r) = 0.
0, 25
Let i(m) be the third derivative of -m**7/1470 - m**6/105 - 2*m**5/35 - 4*m**4/21 - 8*m**3/21 + 24*m**2. Find p, given that i(p) = 0.
-2
Let d = -1/193 + 783/2123. Let f(g) be the first derivative of 6 - 3/11*g**2 - 2/33*g**3 - d*g. Find q, given that f(q) = 0.
-2, -1
Let z(x) be the second derivative of -3*x**5/40 + 5*x**4/8 - 2*x**3 + 3*x**2 + 4*x + 1. Find i, given that z(i) = 0.
1, 2
Let r(g) be the third derivative of -g**6/210 + g**4/42 + 6*g**2. Factor r(a).
-4*a*(a - 1)*(a + 1)/7
Let a(n) = -2*n**2. Let z(d) = 5*d**2 + 2*d - 1. Let g(c) = -6*a(c) - 2*z(c). Factor g(h).
2*(h - 1)**2
Let g(x) be the third derivative of x**6/270 + x**5/27 + 2*x**4/27 - x**2 + 26*x. Factor g(a).
4*a*(a + 1)*(a + 4)/9
Let u(y) be the first derivative of 1/10*y**5 + 1/120*y**6 + 1/3*y**3 + 5 + 0*y**2 + 0*y + 1/2*y**4. Let j(g) be the third derivative of u(g). Factor j(f).
3*(f + 2)**2
Factor -3/7*x**2 + 3/7*x + 18/7.
-3*(x - 3)*(x + 2)/7
Suppose -94 = -116*k + 69*k. Factor 3/4*f - 3/4*f**3 + 0 + 3/4*f**4 - 3/4*f**k.
3*f*(f - 1)**2*(f + 1)/4
Let g(v) be the first derivative of -3/8*v**2 + 1/2*v**3 - 3/10*v**5 + 0*v**4 + 1/8*v**6 - 4 + 0*v. Find f such that g(f) = 0.
-1, 0, 1
Let h(t) be the second derivative of t**8/3360 + t**7/630 + t**6/360 + 2*t**4 - t. Let g(c) be the third derivative of h(c). Let g(f) = 0. Calculate f.
-1, 0
Suppose 16 = 4*x, 9*x = -s + 8*x + 7. Solve 0*v + 1/5*v**s + 0 + 4/5*v**2 = 0.
-4, 0
Let z be (-56)/252 + (-68)/18. Let l be 1/1 - z/((-48)/(-20)). Find k such that 5/6*k**4 - l*k - 2/3 - 1/6*k**2 - 7/6*k**5 + 23/6*k**3 = 0.
-1, -2/7, 1, 2
Let x(d) = -3*d**3 + 4*d**2 + 3*d. Suppose k - 1 + 11 = -5*m, -5*m = 2*k + 5. Let q(l) = -2*l**3 + 3*l**2 + 2*l. Let t(a) = m*x(a) + 4*q(a). Factor t(i).
i*(i - 1)*(i + 1)
Factor 2/7*j**2 + 0 - 16/7*j.
2*j*(j - 8)/7
Suppose 5*u = m + 26, -2*u - m + 34 = 3*u. Solve -3 + 11*n**3 + 2*n**4 + u*n**2 - 3 - 2 - 3*n**3 - 8*n = 0.
-2, -1, 1
Let b(k) be the second derivative of k**6/660 + k**5/165 + 13*k**2/2 - 50*k. Let p(v) be the first derivative of b(v). Factor p(c).
2*c**2*(c + 2)/11
Let o(c) be the second derivative of c**5/150 - c**4/12 + 4*c**3/15 - 3*c**2 + 43*c. Let m(t) be the first derivative of o(t). Suppose m(p) = 0. What is p?
1, 4
Let a = -58 - -60. Factor -m**2 - 82*m + 38*m - 242 - m**a.
-2*(m + 11)**2
Let d(c) be the first derivative of 2*c**6/3 - 28*c**5/5 + 19*c**4 - 100*c**3/3 + 32*c**2 - 16*c - 285. Solve d(w) = 0 for w.
1, 2
Let o = 60 - 1018/17. Let t = 19/34 - 7/34. Factor o*p**2 + t*p + 4/17.
2*(p + 1)*(p + 2)/17
Suppose 5*y - 721 = -4*f, -f - 3*f = 4. Let m = y + -142. Factor -2/5*p**4 + 0*p + 0 - 2/5*p**2 + 4/5*p**m.
-2*p**2*(p - 1)**2/5
Let y(w) = -13*w**3 - 7*w**2 + 16*w + 16. Let h(n) = 37*n**3 + 21*n**2 - 47*n - 48. Let i(d) = -6*h(d) - 17*y(d). Suppose i(u) = 0. What is u?
-8, -1, 2
Let f(x) be the third derivative of -11*x**8/10080 + x**7/1260 + 7*x**5/15 - 22*x**2. Let o(a) be the third derivative of f(a). Find s, given that o(s) = 