tor -j + 2*j**3 - j + 3*j + 6*j**o + 3*j.
2*j*(j + 1)*(j + 2)
Let j be (-13 + 1)*23/(-69). Let x(k) be the second derivative of -2*k - 1/8*k**5 + 3/8*k**j - 7/12*k**3 + 1/60*k**6 + 0 + 1/2*k**2. Solve x(u) = 0 for u.
1, 2
Let n = 12 - 4. Suppose 2*l + n = 6*l. Factor 18/7 + 12/7*d + 2/7*d**l.
2*(d + 3)**2/7
Let c = 523/12 + -130/3. Let r(h) be the second derivative of -1/12*h**3 + 1/24*h**4 + 1/40*h**5 - c*h**2 - 5*h + 0. Factor r(o).
(o - 1)*(o + 1)**2/2
Let m be (-2)/(-14)*1*(-63)/(-18). Let a = 31 + -61/2. Solve 3/2*v**2 - 3/2*v + a - m*v**3 = 0.
1
Let h(m) be the third derivative of m**9/2520 - m**8/840 - m**7/1260 + m**6/180 - 3*m**4/8 + 15*m**2. Let y(l) be the second derivative of h(l). Solve y(d) = 0.
-2/3, 0, 1
Find u, given that 35*u - 25*u**4 + 34*u**5 + 19*u**3 - 14*u**5 - 10 - 74*u**3 + 35*u**2 = 0.
-1, 1/4, 1, 2
Suppose x - 2*b - 4 = -2*x, -4*x = 5*b - 13. Suppose 0 = x*t + 3*t + 4*l, t + 2*l = 0. Factor t*f + 0 - f**3 + 1/2*f**2 + 1/2*f**4.
f**2*(f - 1)**2/2
Let l(d) be the first derivative of 2*d**5/15 - 38*d**4/3 + 298*d**3/9 - 74*d**2/3 - 460. Factor l(i).
2*i*(i - 74)*(i - 1)**2/3
Let m be (-24)/(-360) - (14/3 + -5). Determine j, given that -6/5*j - m*j**2 - 4/5 = 0.
-2, -1
Let m(t) = 6 - 29*t - 3 + 4 + 28*t. Let c be m(7). Factor 2/11*n**4 + c*n**2 + 0 - 6/11*n**3 + 8/11*n.
2*n*(n - 2)**2*(n + 1)/11
Let x(f) be the first derivative of -f**6/51 + 6*f**5/85 + 7*f**4/34 - 22*f**3/51 - 6*f**2/17 + 16*f/17 + 39. Find w, given that x(w) = 0.
-2, -1, 1, 4
Let y(t) be the third derivative of 16/315*t**7 - 1/252*t**8 - 14/9*t**4 + 0*t + 38/45*t**5 - 5/18*t**6 + 0 + 16/9*t**3 + 8*t**2. What is s in y(s) = 0?
1, 2
What is p in -8/7*p + 6 - 2/7*p**2 = 0?
-7, 3
Determine b, given that -1728 - 95*b + 3*b**2 - 6*b**2 + 31*b - 80*b = 0.
-24
Let w(u) be the third derivative of -1/90*u**6 - 1/9*u**5 + 0*u + 11*u**2 + 0 + 1/18*u**4 + 10/9*u**3. Solve w(i) = 0.
-5, -1, 1
Let o = 8 + 3. Factor 11*l + 6*l**4 + 2*l**4 + 4*l**2 + 10*l**3 + 2*l**5 - o*l.
2*l**2*(l + 1)**2*(l + 2)
Let a(u) be the third derivative of u**9/22680 + u**8/3360 + u**7/1260 + u**6/1080 - 3*u**4/8 + 10*u**2. Let x(q) be the second derivative of a(q). Factor x(t).
2*t*(t + 1)**3/3
Let s(v) be the first derivative of -v**5/20 + v**4/2 + v**3/12 - v**2 + 81. Solve s(w) = 0 for w.
-1, 0, 1, 8
Let m(s) = 31*s + 8. Let x be m(6). Let 194*f + 2*f**4 + f**5 - x*f = 0. Calculate f.
-2, 0
Let l(o) be the first derivative of -o**7/1260 + o**6/720 + o**5/360 - o**4/144 + 11*o**2/2 - 14. Let i(a) be the second derivative of l(a). Factor i(c).
-c*(c - 1)**2*(c + 1)/6
Let r(w) be the second derivative of 5/12*w**4 + 4/9*w**3 + 1/90*w**6 + 0 + 16*w - 2/15*w**5 - 8/3*w**2. Factor r(p).
(p - 4)**2*(p - 1)*(p + 1)/3
Let s(l) = 2*l**4 + 9*l**3 - 8*l**2 - 3*l - 3. Let t(g) = -6*g**4 - 26*g**3 + 22*g**2 + 10*g + 8. Let p(a) = 8*s(a) + 3*t(a). Factor p(w).
-2*w*(w - 1)*(w + 1)*(w + 3)
Let k(y) be the first derivative of y**7/280 - 3*y**5/40 + y**4/4 + y**3/3 + 25*y**2/2 - 7. Let m(p) be the third derivative of k(p). Solve m(n) = 0.
-2, 1
Let h(m) be the first derivative of 2/3*m**3 - 1/2*m**2 + 0*m**4 + 1/6*m**6 - 2/5*m**5 + 0*m - 12. What is c in h(c) = 0?
-1, 0, 1
Let z = -1128 + 1150. Let t(x) be the first derivative of -z*x**4 - 2*x**6 + 24*x**3 - 12 - 14*x**2 + 52/5*x**5 + 4*x. Find a such that t(a) = 0.
1/3, 1
Factor 3 + 3 + 3*t**3 + 24 - 30.
3*t**3
Let l be (-18)/(-3) + 4/(4/(-2)). Factor 4*h**2 + h**l - 11*h**4 + 2*h**2 - 5*h**3 - h**2.
-5*h**2*(h + 1)*(2*h - 1)
Let u(r) = r**3 - r**2. Let b(j) = 39*j**3 - 12*j**2 - 21*j - 6. Suppose 3*c = 6*c + 3. Let k(o) = c*b(o) + 18*u(o). Let k(s) = 0. Calculate s.
-1, -2/7, 1
Let y(a) be the third derivative of 1/120*a**5 + 0*a + 1/12*a**4 - 5/12*a**3 + 0 - 27*a**2. Determine g, given that y(g) = 0.
-5, 1
Let h = 8/1077 - -6422/5385. Factor -1/5*q**2 + h + 1/5*q.
-(q - 3)*(q + 2)/5
Let r = 1415 + -4243/3. Factor -r - 2/3*h - 1/6*h**2.
-(h + 2)**2/6
Let z(s) = -6*s**3 + 2*s**2 - 6*s + 7. Let t be z(2). Let p be ((-2)/21)/(t/105). Factor -2/3*r - 4/9 + 0*r**2 + p*r**3.
2*(r - 2)*(r + 1)**2/9
Let u(x) = -x**2 + 6*x + 2. Let t be u(5). Determine v so that -9*v - 9 + t + 24*v**4 + 9*v**5 - 30*v**2 + 8 = 0.
-2, -1, 1/3, 1
Suppose 153*r - 2884 = -568*r. Suppose -22/3*s - 2/3*s**3 + 4*s**2 + r = 0. What is s?
1, 2, 3
Let z(g) be the second derivative of g**5/10 + 8*g**4/3 + 35*g**3/3 - 52*g**2 - g - 278. Find t, given that z(t) = 0.
-13, -4, 1
Let i(k) be the third derivative of k**5/120 - 5*k**4/48 - 33*k**2 + 2*k. Suppose i(o) = 0. Calculate o.
0, 5
Let b(r) be the third derivative of r**7/168 + 7*r**6/40 + 2*r**5/5 + 25*r**4/12 - 3*r**2 - 1. Let a(n) be the second derivative of b(n). Factor a(z).
3*(z + 8)*(5*z + 2)
Let z = -13 + 16. Suppose -5*h = 2*y + 17, -z*h = -2*y - 4*h + 3. Factor -8*g + g**4 + g**y - 8*g**3 - 2*g**2 + 6*g**2 + 8*g**2 + 2.
2*(g - 1)**4
Let p be (1/(-4)*2)/((-6)/36). Factor -35 - 8*a**2 + 35 + p*a**2.
-5*a**2
Let d(w) be the first derivative of -w**5/20 - 5*w**4/4 - 25*w**3/3 - 32. Factor d(i).
-i**2*(i + 10)**2/4
Solve 0 - 1/3*h**3 - 50/3*h**2 + 0*h = 0.
-50, 0
Let c(l) = 28*l**3 - 21*l**2 - 9*l + 14. Let m(w) = -2*w**3 - 2*w**2 - 2. Let t(x) = c(x) + 2*m(x). Factor t(o).
(o - 1)*(3*o - 2)*(8*o + 5)
Let s(z) be the third derivative of z**5/150 - z**4/5 + 11*z**3/15 + 7*z**2 + 2. Let s(y) = 0. Calculate y.
1, 11
Let t(n) = 84*n**3 + 204*n**2 - 115*n + 15. Let s(c) = 169*c**3 + 409*c**2 - 230*c + 30. Let v(r) = -4*s(r) + 9*t(r). Suppose v(a) = 0. What is a?
-3, 1/4
Let x(u) = -u**2 - u + 1. Let q(t) = t**3 + 6*t**2 - 5*t - 1. Let i(j) = 2*q(j) + 2*x(j). Factor i(v).
2*v*(v - 1)*(v + 6)
Let y(s) be the first derivative of -25*s**4 - 8*s**3/3 - 281. Factor y(z).
-4*z**2*(25*z + 2)
Let v(h) be the first derivative of -5*h**6/12 - 19*h**5/10 - 13*h**4/4 - 7*h**3/3 - h**2/4 + h/2 + 78. Factor v(d).
-(d + 1)**4*(5*d - 1)/2
Factor -12*y**5 + 4*y + 25*y**5 + 5*y**2 - 9*y**5 + 24*y**3 - 16*y**4 - 21*y**2.
4*y*(y - 1)**4
Let s(y) be the first derivative of -12*y + 8/3*y**3 + 2 - 4*y**4 + 8*y**2 + 4/5*y**5. Factor s(n).
4*(n - 3)*(n - 1)**2*(n + 1)
Let u be (-1 - 13/(-4))*(10 + -14). Let b be (4 - (-38)/u) + 8/9. Determine h, given that 0*h - b*h**4 + 0 - 2/3*h**3 + 0*h**2 = 0.
-1, 0
Let n = -11 + 13. Determine y, given that 16 + 32*y + 5*y**2 + 0 + 9 - n*y = 0.
-5, -1
Let p(t) be the first derivative of t**6/5 + 2*t**5 + 12*t**4/5 - 56*t**3/15 - 35. Let p(v) = 0. Calculate v.
-7, -2, 0, 2/3
What is z in -66 + 9*z + 4*z + z**2 + 24 - 2*z**2 = 0?
6, 7
Let v = 1/55 + 32/55. Solve -6/5*t + 0 - v*t**2 = 0 for t.
-2, 0
Let d(p) be the first derivative of p**5/10 - p**4 + 5*p**3/2 + 2*p**2 - 8*p + 66. Factor d(i).
(i - 4)**2*(i - 1)*(i + 1)/2
Suppose -y - 1 = -5. Find v such that -36*v + 6*v**2 - y*v**3 + 5*v**2 + 6*v**2 + 7*v**2 + 16 = 0.
1, 4
Let d(a) = -157*a + 630. Let v be d(4). Find b, given that 0 - 1/4*b - 1/4*b**v + 1/4*b**3 + 1/4*b**4 = 0.
-1, 0, 1
Let z(y) be the first derivative of -5/3*y**3 + 15*y**2 + 9 - 45*y. Find k, given that z(k) = 0.
3
Let h(a) = -196*a + 1180. Let d be h(6). Let 2/3*y**2 + d*y + 6 = 0. What is y?
-3
Let k be 4*1/6 - 7/(-3). Suppose -3*a + 2 = 4*i + k, 11 = -2*i - 5*a. Solve -1/2 - 1/2*m**i - m = 0 for m.
-1
Let i(u) be the second derivative of -u**7/189 - 22*u**6/45 + 3*u**5/2 - 34*u**4/27 + 160*u. Factor i(t).
-2*t**2*(t - 1)**2*(t + 68)/9
Let u be -7*7/(-49)*10/2. Let 11*c - 5*c**4 - 20 + 25*c**2 - u*c**3 - 4*c**3 - 6*c**3 + 4*c = 0. What is c?
-4, -1, 1
Let o(z) be the first derivative of -z**5/120 - z**4/12 + 5*z**3/12 - 13*z**2/2 + 3. Let g(c) be the second derivative of o(c). Factor g(x).
-(x - 1)*(x + 5)/2
Find i, given that 8/7 - 1/7*i**5 - i**2 - 10/7*i - 1/7*i**4 + 11/7*i**3 = 0.
-4, -1, 1, 2
Let u(i) be the second derivative of 1/32*i**4 - 1/8*i**3 + 0 + 3/16*i**2 + 14*i. Let u(v) = 0. What is v?
1
Find x, given that -7/3*x**3 - 8*x - 4/3 + 9*x**2 = 0.
-1/7, 2
Let a(h) = 9*h**2 - 3*h - 2. Let w(c) = -4*c**2 + c + 1. Let n(t) = -3*a(t) - 6*w(t). Factor n(y).
-3*y*(y - 1)
Let t be (5/(-2))/5 - (-75)/30. Let l be t - 4 - 1*24/(-10). Factor 0 + 6/5*b**2 + 0*b + l*b**3.
2*b**2*(b + 3)/5
Let k(x) = x**3 - 4*x**2 - 8*x + 36. Let c be k(3). Let u(i) be the second derivative of -1/3*i**4 + 0*i**2 + 0*i**c