rst derivative of o(t). Factor z(v).
2*(v + 1)*(9*v + 2)/3
Let a be (5580/(-1386))/((-32)/(-49)). Let c = a + 119/16. Determine f, given that -c*f - 18/11*f**2 + 4/11 = 0.
-1, 2/9
Let m(d) be the third derivative of 1/60*d**6 + 0 + 5/36*d**4 - 1/9*d**3 - 13*d**2 + 0*d - 7/90*d**5. Suppose m(v) = 0. What is v?
1/3, 1
Let 3/2*r**3 + 66*r**2 + 126*r + 0 = 0. What is r?
-42, -2, 0
Let y = 1537/7710 + 1/1542. Let z(x) be the first derivative of x**4 - x - y*x**5 + 2*x**2 + 4 - 2*x**3. Factor z(f).
-(f - 1)**4
Factor 0*l**2 - 12/5*l + 3/5*l**3 + 0.
3*l*(l - 2)*(l + 2)/5
Let v(f) be the first derivative of -4/3*f**3 + 7 - 64*f + 16*f**2. Suppose v(k) = 0. Calculate k.
4
Let f(t) be the third derivative of 6*t**2 + 0*t + 0 + 1/21*t**4 + 1/420*t**6 + 2/105*t**5 + 0*t**3. Let f(b) = 0. Calculate b.
-2, 0
Let u(a) be the first derivative of 5*a**4/12 - 5*a**3/3 - 15*a**2/2 - 23*a + 15. Let f(v) be the first derivative of u(v). Factor f(y).
5*(y - 3)*(y + 1)
Let v(k) = 143*k**2 - 47*k + 13. Let g(p) = 72*p**2 - 22*p + 6. Let f(h) = 13*g(h) - 6*v(h). Factor f(w).
2*w*(39*w - 2)
Let c = -101506/5 + 20302. Suppose 24/5 - c*r - 4/5*r**2 = 0. What is r?
-3, 2
Suppose 4*k - 15 = -3. Let a be -6*(0 + -1) - k. Find c, given that -3 + 15 + 0 - a*c**2 + 9*c = 0.
-1, 4
Suppose 0 = 5*w + 4*w - 21987. Factor -5*d**3 - 88*d**2 - 47*d**2 - 1612 - 1215*d - w + 410.
-5*(d + 9)**3
Let n(z) = 9952*z**3 - 10688*z**2 + 3868*z - 468. Let c(m) = -1531*m**3 + 1644*m**2 - 595*m + 72. Let v(a) = 32*c(a) + 5*n(a). Determine h, given that v(h) = 0.
1/3, 3/8
Let z(i) = -i + 13. Let u be z(10). Let r be (3 + (-68)/24)*u. Find k such that 0 + r*k**3 - 1/2*k**2 + 0*k = 0.
0, 1
Let f be (2 - (3 - -1))/(-1). Let a = -190 + 190. Suppose -1/2*h**f + 0*h - 5/4*h**3 - 1/4*h**5 + a - h**4 = 0. Calculate h.
-2, -1, 0
Let f(o) = o**3 + 15*o**2 - 15*o + 15. Let l be f(-16). Let x be (240/(-105))/((-10)/8 - l). Suppose -4/7*k**2 - 32/7*k - x = 0. Calculate k.
-4
Let m = -2 - -6. Let s be 2 + 0 + m/(-42)*15. Suppose -2/7*u**2 - s*u + 0 = 0. Calculate u.
-2, 0
Suppose l - s = 2*l - 13, -21 = -l - 3*s. Factor 2*d**5 - l*d**4 + 2*d**4 + 3*d**4.
2*d**4*(d - 2)
Let n(i) = 8*i**4 - 16*i**3 + 36*i**2 - 32*i + 12. Let g(o) = -40*o**3 + 5*o**4 + 1 - o + 41*o**3 - 4*o**4. Let y(f) = 4*g(f) - n(f). Factor y(d).
-4*(d - 2)*(d - 1)**3
Let k(j) be the first derivative of -16*j**5/25 + 47*j**4/10 + 4*j**3/5 + 321. Determine x so that k(x) = 0.
-1/8, 0, 6
Let x(n) be the second derivative of -3*n**5/20 + 195*n**4/4 + 169*n + 1. Factor x(s).
-3*s**2*(s - 195)
Let l = -59 - -7. Let z be -5 - (3 + 432/l). Suppose 0*s**2 - z - 6/13*s + 2/13*s**3 = 0. What is s?
-1, 2
Let t be 44/(-55)*(-1 + (-3)/2). Let j be -2*t*(-2)/12. Solve j*a**2 - 8/3*a + 2 = 0 for a.
1, 3
Let b(i) be the second derivative of -i**5/30 + i**4/12 + 2*i**3/3 - 6*i**2 - 7*i. Let z(p) be the first derivative of b(p). Factor z(f).
-2*(f - 2)*(f + 1)
Let v(a) = 6*a - 132. Let o be 4032/184 + 10/115. Let z be v(o). Factor 0 - 1/3*n**3 + z*n - 1/3*n**2.
-n**2*(n + 1)/3
Let c(b) be the first derivative of 33 + 6/5*b + 5/2*b**2 - 7/20*b**4 + 4/5*b**3. Suppose c(a) = 0. Calculate a.
-1, -2/7, 3
Let l(g) be the second derivative of -g**4/15 - 4*g**3/15 + 3*g - 30. Factor l(z).
-4*z*(z + 2)/5
Let o(c) be the first derivative of -2/5*c**5 - 2*c + 0*c**2 + 4/3*c**3 + 0*c**4 + 52. Factor o(a).
-2*(a - 1)**2*(a + 1)**2
Let y(b) be the third derivative of b**5/80 + 137*b**4/32 + 17*b**3 + 418*b**2. Factor y(g).
3*(g + 1)*(g + 136)/4
Let h(y) = -5*y**3 - 42*y - 134. Let u(b) = -b**3 + b - 1. Let l(w) = -h(w) + 6*u(w). Factor l(o).
-(o - 8)*(o + 4)**2
Let f(z) be the first derivative of z**4/24 + 14*z**3/9 + 9*z**2/4 - 6. Let f(a) = 0. Calculate a.
-27, -1, 0
Let f be ((-33)/(-6))/11*(-4)/(-1). Factor -26*u + 53*u - 21*u + u**f.
u*(u + 6)
Let h be ((-208)/1950*5)/((-8)/6). Suppose -6/5 - h*c**2 - 8/5*c = 0. What is c?
-3, -1
Let m(n) be the second derivative of n**7/3780 + n**6/135 + 4*n**5/45 - 7*n**4/12 + 6*n. Let u(p) be the third derivative of m(p). Find j such that u(j) = 0.
-4
Factor -106/9*d - 56/9*d**2 + 4/3.
-2*(d + 2)*(28*d - 3)/9
Let x(i) be the third derivative of -i**8/1176 + i**7/105 - 11*i**6/420 + i**5/42 + 42*i**2 - 2*i. Solve x(q) = 0 for q.
0, 1, 5
Suppose 10*j - 2 = 9*j. Factor 2*b**2 - 4*b**2 - 2*b**2 - b**j - 15*b.
-5*b*(b + 3)
Let c be 3/27*-50 - -6. Suppose -202*g - 4 = -204*g. Factor 0 + 16/3*o**3 - 10/3*o**g - 22/9*o**4 + c*o.
-2*o*(o - 1)**2*(11*o - 2)/9
Let q(b) be the first derivative of -1/18*b**3 + b + 19 + 1/12*b**2. Solve q(x) = 0.
-2, 3
Factor 9/2*q - 18 + 1/2*q**2.
(q - 3)*(q + 12)/2
Let p = -30 - -35. Factor 5*v**3 - 74 + 74 - p*v.
5*v*(v - 1)*(v + 1)
Let k(s) = 3*s**3 - 125*s**2 - 1034*s + 1163. Let n(i) = -2*i**3 + 126*i**2 + 1032*i - 1162. Let d(t) = -6*k(t) - 7*n(t). Factor d(p).
-4*(p - 1)*(p + 17)**2
What is o in 2*o - 2/3*o**3 - 4/3 + 0*o**2 = 0?
-2, 1
Let n(r) = -r**3 + 43*r**2 - 390*r + 2. Let s be n(13). Let -2/11*a**4 - 2*a**3 - 50/11*a - 16/11 - 54/11*a**s = 0. Calculate a.
-8, -1
Let f be 4/(-14) + 1020/42. Suppose -3*s + 3*n = s - f, 1 = -5*s - 4*n. Determine h, given that -6*h**2 - 2 - 7*h - 6 - 5*h - h**s = 0.
-2
Let z(b) be the third derivative of b**6/360 - b**5/60 - b**4/8 + 11*b**3/6 - 12*b**2. Let x(i) be the first derivative of z(i). Factor x(a).
(a - 3)*(a + 1)
Let j be 4 - (2 - -4) - -7. Let x be 3/j + 65/225. Factor 2/9*r**4 + 8/9*r**3 + 2/3*r**2 - 8/9*r - x.
2*(r - 1)*(r + 1)*(r + 2)**2/9
Let g = 2217 - 6649/3. Factor -22/9*j**2 + g*j - 8/9*j**3 + 0.
-2*j*(j + 3)*(4*j - 1)/9
Let f = 18 - 5. Solve -17*g**2 - f*g**2 + 4*g**5 + 26*g**2 - 4*g**3 + 4*g**4 = 0 for g.
-1, 0, 1
Suppose -3*k = k - 12. Let s = 5 - k. Factor -2*m**4 + 2*m**5 + m**3 - s*m**4 + m**3.
2*m**3*(m - 1)**2
Find f, given that 24*f - 18*f**3 - 39*f**3 - 7*f**4 - 4 + 29*f**2 + 51*f**3 = 0.
-2, -1, 1/7, 2
Suppose 4*x - 3 = -2*c - 1, 0 = 3*x - 5*c - 34. Suppose 5*l - x*n - n = 4, 5*n = -5*l + 40. Factor -4*h**3 - 12*h**2 + l + h + 4 + 3*h + 4*h**4 + 0*h.
4*(h - 2)*(h - 1)*(h + 1)**2
Factor -20/3*h**2 - 8000/9 - 1/9*h**3 - 400/3*h.
-(h + 20)**3/9
Let i(w) be the third derivative of 9*w**6/40 - 2*w**5/5 - 19*w**4/2 + 56*w**3 - 25*w**2 - 8. What is z in i(z) = 0?
-28/9, 2
Suppose x + 2*x - 14 = -n, 2*x + 5*n - 18 = 0. Let i be (-2 + 3 + x)/1. Factor -g**3 + 6*g + i - 2 - g**4 - 5*g**3 - 2*g**4.
-3*(g - 1)*(g + 1)**3
Let g = 21 + -3. Solve 12*o - 11 - 18*o**2 + 3*o**3 + 5 - g + 24*o = 0 for o.
2
Let y(m) be the first derivative of -8*m**3/3 + 10*m**2 - 8*m - 598. Solve y(o) = 0 for o.
1/2, 2
Factor -18 + 53/3*h + 1/3*h**2.
(h - 1)*(h + 54)/3
Let q(z) = -9*z**2 - z. Let u(t) = -2*t**2 + t. Let r(y) = 3*q(y) - 12*u(y). Solve r(g) = 0.
-5, 0
Let h(t) be the second derivative of t**6/120 + 3*t**5/40 - 4*t**3/3 + 8*t - 1. Factor h(s).
s*(s - 2)*(s + 4)**2/4
Let l = 311/742 - -1/106. Let m(j) be the first derivative of -1/14*j**4 + l*j**2 + 0*j**3 + 4/7*j - 7. Factor m(b).
-2*(b - 2)*(b + 1)**2/7
Let p(r) be the first derivative of 1/2*r**4 + 0*r + 2*r**2 + 12 - 2*r**3. Find v, given that p(v) = 0.
0, 1, 2
Let g(h) be the second derivative of 625/14*h**2 + 0 + 25/14*h**4 + 1/210*h**6 - 7*h - 250/21*h**3 - 1/7*h**5. Let g(w) = 0. Calculate w.
5
Let w(u) be the first derivative of -u**6/180 - 7*u**5/90 + 5*u**4/36 + 16*u**3/3 - 2. Let a(p) be the third derivative of w(p). Determine g so that a(g) = 0.
-5, 1/3
Let m be 0 - 2/((-700)/236 - -3). Let n = m - -63. Factor 3/2*d**n + 3*d**2 - d + 0 - 1/4*d**5 - 13/4*d**3.
-d*(d - 2)**2*(d - 1)**2/4
Let q be 13*(1 - -2 - (10 + -8)). Suppose -3*s - q*s + 3*s = 0. What is t in s*t + 0 - 8/3*t**4 - 2/3*t**2 + 8/3*t**3 = 0?
0, 1/2
Let g = -2043 + 6134/3. Let -1/3*z**4 - 4/3 + g*z**2 + 0*z + 0*z**3 = 0. What is z?
-2, -1, 1, 2
Let d(w) be the first derivative of -w**3/4 + 15*w**2 - 266. Factor d(r).
-3*r*(r - 40)/4
Let y(u) be the third derivative of -u**5/30 - 26*u**4/3 - 2704*u**3/3 - 233*u**2. Factor y(g).
-2*(g + 52)**2
Suppose -3*q = -5*b + 38, 4*b + 40 = -2*q - 0*q. Let w be (q/64)/(2/(-24)). Determine k so that 5*k + 3*k**w + 8*k**2 + 7*k**2 - 27 + 4*k = 0.
-3, 1
Let a(v) = v**3 + v. Let q(y) = -30*y**3 - 10*y**2 - 30*y. Let w(b) = -25*b**3 - b**2 + 1. Let g be w(-1). Let u(z) = g*a(z) + q(z). Factor u(c).
