ve of 0 - 1/2*s**2 - 7*s + 1/24*s**4 + 1/12*s**3. Factor d(z).
(z - 1)*(z + 2)/2
Let i(m) be the second derivative of -m**5/10 + 2*m**4/3 + m**3/3 - 4*m**2 + 21*m. Factor i(o).
-2*(o - 4)*(o - 1)*(o + 1)
Let r be (2 - 2)/((-1)/1). Let s = 0 - r. Find w such that -2*w**2 + 4*w - 4*w**3 + s*w**2 + 2*w**3 = 0.
-2, 0, 1
Let 108*y**2 - 48/5*y**3 + 162/5 - 192/5*y**4 + 567/5*y = 0. Calculate y.
-3/4, 2
Suppose 2*u - 25 = 3*m, -5*m - 9 = -2*m. Let b(h) = h**2 - 8*h + 3. Let d be b(u). Find o, given that -7/3*o**4 + o**2 + 0 + 2/3*o - o**5 - o**d = 0.
-1, 0, 2/3
Let w(g) be the first derivative of -g**3/12 - g**2/8 + g/2 + 41. Determine f so that w(f) = 0.
-2, 1
Let o = -3 - -9. Let s = -4 + o. Factor 2*a**4 - a - a**3 + 0*a**4 - s*a**2 + 2*a**3.
a*(a - 1)*(a + 1)*(2*a + 1)
Suppose -2*r = -4*u + 130, 0 = -r + 4*r + 15. Let c be 8/u*(-3)/(-2). Find s, given that -2/5*s**4 + 0 + c*s**2 - 2/5*s + 2/5*s**3 = 0.
-1, 0, 1
Let f(j) be the third derivative of -j**8/420 - 2*j**7/105 - j**6/15 - 2*j**5/15 - j**4/6 - j**3 - j**2. Let b(t) be the first derivative of f(t). Factor b(k).
-4*(k + 1)**4
Let t(z) be the first derivative of -1 - 8*z**2 - 8*z**3 - 4/5*z**5 - 4*z**4 - 4*z. Factor t(j).
-4*(j + 1)**4
Let n be (-4)/18 - ((-94)/18 - -1). Let s(p) be the third derivative of p**2 + 0 + 0*p + 1/210*p**6 + 4/21*p**3 + 1/21*p**n - 1/30*p**5. Solve s(y) = 0.
-1/2, 2
Let j(g) be the first derivative of -2*g**3/39 - 3*g**2/13 - 4*g/13 - 42. Find q such that j(q) = 0.
-2, -1
Let q = 48 - 239/5. Let 0*f + 2/5*f**3 + 0 - 1/5*f**4 - q*f**2 = 0. Calculate f.
0, 1
Let a(s) be the third derivative of -s**5/20 - 3*s**4/8 - s**3 + 2*s**2. Determine w so that a(w) = 0.
-2, -1
Suppose -4/3*a**3 - 4/3*a**4 - 1/3*a**5 + 5/3*a + 2/3*a**2 + 2/3 = 0. Calculate a.
-2, -1, 1
Let t(y) be the second derivative of -y**6/135 - y**5/45 - 6*y. Factor t(b).
-2*b**3*(b + 2)/9
Factor -1/3*m**3 - 7/3*m + 5/3*m**2 + 1.
-(m - 3)*(m - 1)**2/3
Let s = 305 - 303. Factor -s*t**3 - 6/5*t - 18/5*t**2 + 2/5.
-2*(t + 1)**2*(5*t - 1)/5
Let s(x) be the second derivative of -1/8*x**3 + 5/48*x**4 + 3/80*x**5 + x + 0 - 1/8*x**2 - 1/30*x**6. Find c such that s(c) = 0.
-1, -1/4, 1
Let m = 5 + -2. What is f in 0*f**2 - 2/3 + 2/3*f**4 - 4/3*f + 4/3*f**m = 0?
-1, 1
Let z(t) be the second derivative of -t**4/3 + 2*t**3 - 2*t. Factor z(b).
-4*b*(b - 3)
Let k = -2029/5 + 406. Find h, given that -6/5*h + 9/5 + k*h**2 = 0.
3
Let l be (-2)/((-9)/3 - -2). Factor 8 - 3*m**2 + 3*m**l - 6 + 4*m + 2*m**2.
2*(m + 1)**2
Find f, given that -5*f - 12*f**2 - 4 + 6*f**3 + 17*f - 2*f**3 + 0*f**3 = 0.
1
Let d(u) be the third derivative of 0*u + 2*u**2 + 0 - 1/300*u**5 + 0*u**3 - 1/60*u**4. Suppose d(b) = 0. Calculate b.
-2, 0
Let a(j) be the second derivative of -j**5/20 - j**4/8 - 7*j**2/2 + 4*j. Let q(f) be the first derivative of a(f). Factor q(b).
-3*b*(b + 1)
Let h(f) be the second derivative of 0 + 0*f**3 + 1/54*f**4 + 1/45*f**5 + 1/135*f**6 + 0*f**2 + 4*f. Suppose h(u) = 0. What is u?
-1, 0
Determine t, given that 1/3*t**5 - 1/3*t**3 + 0 + 0*t**2 + 0*t + 0*t**4 = 0.
-1, 0, 1
Let j(l) = 12*l**3 - 39*l**2 + 42*l - 12. Let v(z) = -25*z**3 + 79*z**2 - 83*z + 24. Let u(b) = -5*j(b) - 3*v(b). Solve u(y) = 0 for y.
4/5, 1
Let n = -144 - -146. Factor 1/4*k**n - 1/4*k - 1/4 + 1/4*k**3.
(k - 1)*(k + 1)**2/4
Factor 0 + 39*w**3 - 3*w - 4 + 15*w**4 + 1 + 27*w**2 - 3.
3*(w + 1)**3*(5*w - 2)
Suppose -2*r**2 - 8/3 + 4*r + 1/3*r**3 = 0. Calculate r.
2
Let c = 30 + -14. Let g be 10/15*6/c. Determine q so that 0*q**2 + 0 - g*q**3 + 0*q = 0.
0
Let o(c) = 2*c**3 + 4*c**2 - 14*c + 3. Let z be -8 - 3/((-1)/1). Let n(j) = -3*j**3 - 3*j**2 + 15*j - 3. Let d(y) = z*n(y) - 6*o(y). Factor d(w).
3*(w - 1)**3
Let x(h) = -h**2 - 6*h - 3. Let u be x(-5). Let a = u + -2. Factor a*t**4 + 1/2*t**5 - t**3 + 1/2*t + 0*t**2 + 0.
t*(t - 1)**2*(t + 1)**2/2
Let -2*f**3 + 0 + 8/3*f**5 - 2/3*f + 10/3*f**4 - 10/3*f**2 = 0. What is f?
-1, -1/4, 0, 1
Factor 6*x - 5*x**2 + 3*x**2 + 5*x**2 - 3*x**3.
-3*x*(x - 2)*(x + 1)
Let f = 251 - 1003/4. Factor 1/4*p**2 - 1/4*p**5 - 1/4*p**4 + f*p**3 + 0*p + 0.
-p**2*(p - 1)*(p + 1)**2/4
Suppose -3*n + 4*j = 104 - 1, -5*n = 2*j + 215. Let w = n + 43. Factor 0 + 0*p + 0*p**w + 1/4*p**3.
p**3/4
Let n be -5 + -4 - 6/(-3). Let x be -2 - n/4*2. Factor 6*w**2 - x*w - 1 - 7/2*w**3.
-(w - 1)**2*(7*w + 2)/2
Let n(u) be the third derivative of 3/28*u**4 + 0*u - 1/140*u**5 - 9/14*u**3 + 0 - 5*u**2. Factor n(a).
-3*(a - 3)**2/7
Let o(q) be the second derivative of -q**6/90 - q**5/60 + q**4/36 + q**3/18 - 13*q. Factor o(s).
-s*(s - 1)*(s + 1)**2/3
Let i(c) = 5*c**2 + 13*c. Let d(t) = 3*t**2 + 7*t. Let n(w) = 7*d(w) - 4*i(w). What is h in n(h) = 0?
0, 3
Let o = 16 - 12. Let i(j) be the third derivative of 1/48*j**o - 1/240*j**6 + 1/120*j**5 + 0 + 0*j - 1/12*j**3 - j**2. Solve i(z) = 0.
-1, 1
Let u = -4/57 - -248/285. Let c be (-2)/(-8) - 27/(-180). Factor u*z**2 + 6/5*z + c.
2*(z + 1)*(2*z + 1)/5
Suppose -5*f + 3*o + 9 = 0, -3*f = 5*o + 8 + 7. Suppose -3 = -f*q - q. Factor 1/4*m**q + 1/4 - 1/4*m**2 - 1/4*m.
(m - 1)**2*(m + 1)/4
Let o be (-12)/30*(-90)/48. Factor -o + 3/4*k**2 + 0*k.
3*(k - 1)*(k + 1)/4
Let f(m) be the first derivative of m**6/120 - m**5/20 - m**3 - 1. Let n(q) be the third derivative of f(q). Let n(w) = 0. Calculate w.
0, 2
Let z be (68/(-10) - -2)/((-15)/90). Factor -3/5*f**5 + 0*f - z*f**3 + 0 - 192/5*f**2 - 36/5*f**4.
-3*f**2*(f + 4)**3/5
Let v(l) be the third derivative of -l**5/12 - 5*l**4/8 + 10*l**3/3 + 33*l**2. Factor v(u).
-5*(u - 1)*(u + 4)
Factor -1/2*v**2 - 9/2 + 3*v.
-(v - 3)**2/2
Let c(f) be the first derivative of -f**4/28 + f**3/21 - 19. Factor c(x).
-x**2*(x - 1)/7
Let g = -20/21 + 9/7. Let k = 140/3 - 46. Let k + 1/3*x - g*x**2 = 0. Calculate x.
-1, 2
Factor -4/7*o**2 - 12/7 + 26/7*o.
-2*(o - 6)*(2*o - 1)/7
Factor -15*o**2 - 25*o + 23*o**3 - 39 + 59 - 5*o**4 + 14*o**3 - 12*o**3.
-5*(o - 4)*(o - 1)**2*(o + 1)
Let h = -9 + 3. Let w be 1 + 0 - (h - -5). Let 4*u + 0*u - w*u**2 - 4*u + 2*u**3 = 0. Calculate u.
0, 1
Determine p so that -9/2*p**3 + 39/4*p**2 + 3/4*p**4 - 9*p + 3 = 0.
1, 2
Let t(l) = -l + 6. Let g be t(6). Let k(s) be the first derivative of -1/4*s**4 + 0*s**3 + g*s + 2 + 0*s**2. Find q, given that k(q) = 0.
0
Let u(q) be the second derivative of -q**4/60 + 2*q**3/15 - 3*q**2/10 - 11*q. Factor u(z).
-(z - 3)*(z - 1)/5
Let c be (-2 + 0)*(-2)/(-1). Let w(k) be the first derivative of k**3/3 - 2*k + 1. Let g(s) = -s**2 + 1. Let r(h) = c*g(h) - 2*w(h). Factor r(u).
2*u**2
Let p(y) = 2*y**2 + 2*y - 1. Let l(d) = -5*d**2 - 4*d + 2. Let g(n) = -3*l(n) - 7*p(n). Factor g(q).
(q - 1)**2
Let o(g) be the second derivative of 1/5*g**3 - 3/10*g**2 - 1/20*g**4 + 0 - 5*g. Let o(b) = 0. Calculate b.
1
Let o(v) be the first derivative of -2*v**3/39 + 2*v**2/13 - 2*v/13 + 7. Factor o(r).
-2*(r - 1)**2/13
Let g(u) be the second derivative of -3*u - 3/70*u**5 - 1/21*u**4 + 0*u**2 + 0 + 0*u**3 - 1/105*u**6. Factor g(x).
-2*x**2*(x + 1)*(x + 2)/7
Let h(m) be the first derivative of -1/3*m**6 + 8/5*m**5 + 3 - 3*m**4 + 8/3*m**3 + 0*m - m**2. Factor h(o).
-2*o*(o - 1)**4
Let m(t) be the first derivative of -t**4/18 + 2*t**3/9 - 1. Factor m(p).
-2*p**2*(p - 3)/9
Let r(n) be the first derivative of -4*n**6/3 - 4*n**5/5 + n**4 + 17. Find j such that r(j) = 0.
-1, 0, 1/2
Let l(g) be the first derivative of 2*g**6/3 + 8*g**5/5 + 9. Factor l(z).
4*z**4*(z + 2)
Let h(j) be the first derivative of 0*j - 1/9*j**2 - 2/27*j**3 + 1/18*j**4 + 2 + 2/45*j**5. Determine k, given that h(k) = 0.
-1, 0, 1
What is n in -n - 27*n**3 + 8*n + 5*n = 0?
-2/3, 0, 2/3
Let f(m) be the first derivative of m**5/10 - m**4/2 + 4*m**2 + 2*m + 1. Let u(k) be the first derivative of f(k). Factor u(h).
2*(h - 2)**2*(h + 1)
Let a(o) = 4*o**5 - 4*o**4 - 3*o**3 - 3*o**2 + 3*o + 3. Let v(w) = -5*w**5 + 5*w**4 + 4*w**3 + 4*w**2 - 4*w - 4. Let d(n) = 4*a(n) + 3*v(n). Factor d(f).
f**4*(f - 1)
Let h be 2/9 - 4/(-63). Let v = 90 - 90. Factor -2/7*d**2 + v - h*d.
-2*d*(d + 1)/7
Let c be (0 - 0) + (-46)/(-44). Let u = -6/11 + c. Let 9/2*s**3 - s + 0 - u*s**2 + 5/2*s**5 + 13/2*s**4 = 0. What is s?
-1, 0, 2/5
Let z(n) be the third derivative of -n**2 + 1/300*n**5 + 0*n**4 + 0*n**3 + 0 + 0*n. Solve z(l) = 0.
0
Let a(s) be the third derivative of -s**7/420 - s**6/180 + s**5