*3 - 6*x**2 - 2. Let o(j) = -2*d(j) - 4*l(j). What is y in o(y) = 0?
-1, 0, 1
Let d(t) be the first derivative of t**6/1800 - t**5/150 + t**4/40 - 2*t**3/3 - 19. Let p(q) be the third derivative of d(q). Factor p(c).
(c - 3)*(c - 1)/5
Let f(v) be the third derivative of -v**10/10080 + 3*v**8/2240 - v**7/420 + v**4/12 + 9*v**2. Let i(t) be the second derivative of f(t). Factor i(l).
-3*l**2*(l - 1)**2*(l + 2)
Let b(u) = u**3 - 22*u**2 + 35*u + 64. Let s(m) = -m**3 + 21*m**2 - 38*m - 65. Let n(c) = 5*b(c) + 6*s(c). Solve n(f) = 0.
-1, 7, 10
Let w be 81/30 + ((-4189)/(-5605) - 2/(-38)). Factor -49/4 + w*n - 1/4*n**2.
-(n - 7)**2/4
Let m = 166 + -814/5. Let x = 95676 - 95673. Determine p so that m + 4/5*p**x - 28/5*p + 8/5*p**2 = 0.
-4, 1
Let o(w) be the third derivative of 2*w**7/315 - 5*w**6/18 + 8*w**5/15 + 202*w**2. Let o(k) = 0. What is k?
0, 1, 24
Suppose -11*x - 39 + 116 = 0. Let q(c) be the third derivative of 0 - 1/945*c**x - c**2 - 1/135*c**6 - 1/54*c**4 + 0*c - 1/54*c**5 + 0*c**3. Factor q(i).
-2*i*(i + 1)**2*(i + 2)/9
Let t be (-10)/(-75) + (-6)/315. Let a(h) be the second derivative of 2/105*h**6 + 0*h**3 + 4/21*h**4 + 2*h + 0*h**2 + 0 + t*h**5. Factor a(o).
4*o**2*(o + 2)**2/7
Let t be 3 - 2 - (-1)/1. Factor 0*s**t - s**2 - 2*s**2.
-3*s**2
Let v(l) be the third derivative of -1/180*l**5 + 0*l**3 + 1/360*l**6 - 38*l**2 + 0 + 1/630*l**7 + 0*l - 1/72*l**4. Let v(f) = 0. Calculate f.
-1, 0, 1
Determine u so that -264/7*u + 4/7*u**2 + 260/7 = 0.
1, 65
Let m be (3980/(-18))/(2 - 72/42). Let g = m - -775. Solve 4/9*w**2 + 2/3 + g*w = 0 for w.
-3/2, -1
Let x(y) be the first derivative of -y**5/15 + y**4/12 + 4*y**3/3 + 442. Factor x(i).
-i**2*(i - 4)*(i + 3)/3
Let t be (-2)/14 + (-297)/(-315). Let c = -6/25 - -16/25. Factor t*i + c*i**2 + 0.
2*i*(i + 2)/5
Let u(f) = -f**2 - 7*f + 2. Let g(h) = 16*h**2 + 112*h - 96. Let i(y) = -g(y) - 12*u(y). Let i(d) = 0. Calculate d.
-9, 2
Let f(o) = -o**3 - 37*o**2 - 32*o + 147. Let p be f(-36). Let w(t) be the first derivative of 1/4*t - 1/4*t**2 - 1 + 1/12*t**p. Factor w(i).
(i - 1)**2/4
Suppose 3*p - 15 = -x, -5*x = -4*p + 15 + 5. Let a(j) = -j**3 - 7*j**2 + 9*j + 8. Let s be a(-8). Let 2/13*i**3 + s + x*i**2 - 2/13*i = 0. What is i?
-1, 0, 1
Factor 12*b + 66 + 6/11*b**2.
6*(b + 11)**2/11
Solve 0 - 2/9*o**2 + 4/3*o = 0 for o.
0, 6
Let f = 2852 + -2850. Let c(k) be the third derivative of 0*k - 2*k**3 - k**4 + 7/20*k**5 + 1/8*k**6 - 4*k**f + 0. Factor c(q).
3*(q - 1)*(q + 2)*(5*q + 2)
Let y(t) be the third derivative of 3*t**8/196 + 71*t**7/735 + 26*t**6/105 + 11*t**5/35 + t**4/6 - t**3/21 - 250*t**2. Factor y(g).
2*(g + 1)**4*(18*g - 1)/7
Suppose 4*y - 18 = m, -3*m + 9 = -7*m - 5*y. Let x = m - -9. Factor 0*k**5 - k**4 - 2*k**3 - k**2 + 2*k**4 + k**x + k**5.
k**2*(k - 1)*(k + 1)**2
Suppose -13 + 1 = -3*n, -3*n = -4*x - 4. Let o = 24/35 + -2/5. Factor -o*z**3 + 0 + 0*z + 0*z**x.
-2*z**3/7
Let o(c) = c**2 + 4*c. Let s be o(3). Let h be 6 + 81/18 + (-8 - -14). Factor -h*i**2 + 15/4*i**3 + s*i - 6.
3*(i - 2)**2*(5*i - 2)/4
Let k = -9/8 - -13/8. Let s = -1/115 + 117/230. Factor -k*v - 1/2*v**2 + 1/2*v**3 + s*v**4 + 0.
v*(v - 1)*(v + 1)**2/2
Let a(p) = -4*p + 36. Let d = 98 + -90. Let w be a(d). Solve 416/3*g**3 + 90*g + 128/3*g**w + 18 + 168*g**2 = 0.
-1, -3/4
Let d(t) be the second derivative of -1/2*t**4 + 2/3*t**3 + 0 + 1/5*t**6 - 9*t + 0*t**2 - 1/10*t**5 - 1/21*t**7. Solve d(x) = 0.
-1, 0, 1, 2
Factor 13*m**2 - 288 + 75*m**4 + 1380*m - 399*m**2 - 1102*m**2 - 389*m**3 - 46*m**3.
3*(m - 8)*(m + 3)*(5*m - 2)**2
Let k(u) be the first derivative of -7 + 2/15*u**5 + 2/3*u**2 + 0*u**4 - 2/3*u**3 + 0*u. Let k(y) = 0. What is y?
-2, 0, 1
Suppose 0*g + g - 2 = 0. Suppose -y = g - 4. Determine s so that 5*s**2 - 4 - 3*s**y + 4 = 0.
0
Let i(d) be the second derivative of 0 - 1/10*d**5 + 0*d**4 + 4/9*d**3 + 1/45*d**6 + 0*d**2 - 7*d. Factor i(s).
2*s*(s - 2)**2*(s + 1)/3
Suppose 0 = -5*c + 2*d + 22, 0 = 5*c + 3*d - 30 + 38. Solve 2/5*g**c - 2/5*g - 4/5 = 0 for g.
-1, 2
Let j(w) be the third derivative of 0*w**3 + 0 + 0*w + 11/12*w**5 - 7/24*w**6 + 1/42*w**7 + 32*w**2 - 25/24*w**4. Factor j(v).
5*v*(v - 5)*(v - 1)**2
Let g be ((-7)/(-35))/(201/111). Let l = g - -6/67. Determine a, given that 0*a - l + 1/5*a**2 = 0.
-1, 1
Let m be ((-6)/((-72)/(-4)))/(2/(-12)). Suppose -6*a + m*a = -9*a. Find l such that a + 1/2*l**5 - 1/2*l**3 + 0*l**4 + 0*l + 0*l**2 = 0.
-1, 0, 1
Let n(q) be the second derivative of -q**8/84 + 2*q**7/35 - q**6/10 + q**5/15 - 23*q**3/6 - 23*q. Let m(d) be the second derivative of n(d). Factor m(w).
-4*w*(w - 1)**2*(5*w - 2)
Let i = 30 + -117. Let a be (i/(-15) + (-1)/(-5))/2. Determine n so that 8/3*n - 4/3*n**2 - 2/3*n**a + 16/3 = 0.
-2, 2
Factor 2/9*u**2 + 50/9 - 20/9*u.
2*(u - 5)**2/9
What is l in -9*l**2 + l**2 - 8*l**3 + l**3 + l**3 + 2*l**2 - 2*l - 2*l**4 = 0?
-1, 0
Let j be ((564/7)/1)/(8/56). Suppose 0 = 566*v - j*v - 4. Factor 0*s - 30/17*s**5 + 0 + 8/17*s**3 - 8/17*s**4 + 0*s**v.
-2*s**3*(3*s + 2)*(5*s - 2)/17
Suppose 0 = -5*x - 26 - 4. Let q(f) = 3*f**3 - 9*f**2 - 12*f + 6. Let i(v) = -8*v**3 + 28*v**2 + 36*v - 17. Let g(o) = x*i(o) - 17*q(o). Factor g(c).
-3*c*(c + 1)*(c + 4)
Factor 119*d + 922*d - 12224*d**2 + 131*d + 293*d - 970 + 12209*d**2.
-5*(d - 97)*(3*d - 2)
Suppose 0 = g + g. Suppose g*d + 2*d - 14 = 0. Factor -d*m + 2*m**2 - m + 2 + 4 + 0*m**2.
2*(m - 3)*(m - 1)
Let z(v) be the second derivative of v**7/7560 + v**6/540 + v**5/90 - v**4/12 - 2*v. Let f(h) be the third derivative of z(h). Let f(y) = 0. Calculate y.
-2
Let l be (-14 - -9) + (-160)/(-2). Suppose -l = -13*t - 2*t. Factor 15*m**2 + 3/2 + 3/2*m**t + 15/2*m + 15/2*m**4 + 15*m**3.
3*(m + 1)**5/2
Factor -2/9*u - 2/9*u**3 + 0 + 4/9*u**2.
-2*u*(u - 1)**2/9
Let v = 1737/2 - 868. Let x(f) be the first derivative of -1/10*f**5 - v*f - f**2 - 10 - f**3 - 1/2*f**4. Factor x(y).
-(y + 1)**4/2
Let l = 72 + -77. Let n be 1 - (-4 - (l + 0)). Let -2/3*b**4 + 2/3*b**3 + 0 + 2/3*b**2 - 2/3*b**5 + n*b = 0. What is b?
-1, 0, 1
Suppose 3*j - s + 4*s = 0, 0 = -j + 4*s + 10. Suppose 2*c + j*n = -0*n + 26, 0 = 5*c - n - 77. Factor -6 + 5*m**4 - 27*m**2 - 4*m**4 - 4*m**4 + 21*m + c*m**3.
-3*(m - 2)*(m - 1)**3
Suppose -4*i - 18 = -2*h, 2*i = -4*h - 3 + 9. Let 3/2*l**2 - l - 1/2*l**h + 0 = 0. Calculate l.
0, 1, 2
Let y(t) = -4*t + 41. Let d be y(-8). Find x, given that 134 - d + x**2 + x - 67 = 0.
-3, 2
Let h(p) be the third derivative of -p**8/1848 - 4*p**7/1155 - p**6/165 - 42*p**2. Solve h(c) = 0.
-2, 0
Suppose n - 129 = 2*y, -4*y = 2*n - n + 249. Let h = y + 67. Suppose 1/2 - 1/2*z**h + 0*z**2 - z**3 + z = 0. What is z?
-1, 1
Let u(a) be the third derivative of -a**9/20160 + a**8/3360 + 11*a**5/60 + 15*a**2. Let q(x) be the third derivative of u(x). What is m in q(m) = 0?
0, 2
Let s(r) be the third derivative of 5*r**8/336 - r**7/42 - r**6/2 + 7*r**5/3 - 10*r**4/3 + 25*r**2 - 1. Solve s(k) = 0 for k.
-4, 0, 1, 2
Let s(m) = m**2 + m - 1. Let b(i) be the third derivative of -3*i**5/20 - i**4/4 + 7*i**3/6 + 17*i**2. Let h(j) = 3*b(j) + 24*s(j). Let h(d) = 0. What is d?
1
Let j(n) be the first derivative of -2/5*n**3 - 1/10*n**2 - 2/5*n**4 + 0*n - 9. Factor j(r).
-r*(2*r + 1)*(4*r + 1)/5
Factor 0 + 1/2*o**3 + 0*o - 5*o**2.
o**2*(o - 10)/2
Solve -172*x**2 + 7195*x - 3*x**3 - 17995*x - 188*x**2 = 0.
-60, 0
Let j be 101/5 + 2/(-10). Solve j*b - 2*b**2 + 5*b**2 - 15 - 8*b**2 = 0 for b.
1, 3
Suppose -5*y + 7 = -43. Factor y*k + 35*k**5 + 115*k**4 + 98*k**2 - 33*k**2 + 134*k**3 + k**3.
5*k*(k + 1)**3*(7*k + 2)
Let r(z) be the second derivative of z**5/4 - 10*z**4/3 + 95*z**3/6 - 30*z**2 + 76*z. Factor r(u).
5*(u - 4)*(u - 3)*(u - 1)
Suppose -4*l = -4*f + 28, -f + 2 = -3*f - 2*l. Let z be (12/8)/(2 - -1). Solve 1/2 + h - h**f - z*h**2 = 0.
-1, -1/2, 1
Let d be -4 + 20/(-96)*-8*36/14. Factor 4/7*q + d + 2/7*q**2.
2*(q + 1)**2/7
Let v(r) = -2*r**3 + 98*r**2 - 210*r + 106. Let z(d) = 4*d**3 - 194*d**2 + 421*d - 213. Let g(q) = 9*v(q) + 4*z(q). Factor g(l).
-2*(l - 51)*(l - 1)**2
Factor -8*c - 8 - 1/4*c**3 - 5/2*c**2.
-(c + 2)*(c + 4)**2/4
Let y(k) be the first derivative of k**4 - 40*k**3/3 + 19. Determine u, given that y(u) = 0.
0, 10
Let u(a) = 45*a**2 + 145*a - 345. Let s(d) = 11*d**2 + 36*d - 86. Let m(t) = 25*s(t) - 6*u(t). Let m(x) = 0. Calcula