2 - 2/3*w + 2/3*w**u + 0.
2*w*(w - 1)*(w + 1)/3
Let g = -1213/5 + 244. Let q(z) be the first derivative of 9/20*z**4 + 7 + 4/5*z + 8/5*z**2 + g*z**3. Factor q(l).
(l + 1)*(3*l + 2)**2/5
Let c(d) be the first derivative of 0*d - 1/8*d**4 - 3/20*d**5 + 1/4*d**2 + 7 + 1/4*d**3. Suppose c(r) = 0. What is r?
-1, -2/3, 0, 1
Let t be (-7)/4*47/(-987). Let y(r) be the third derivative of -1/32*r**4 + 0*r**5 + 0*r - t*r**3 - 9*r**2 + 0 + 1/480*r**6. Solve y(j) = 0 for j.
-1, 2
Let w(q) be the third derivative of -q**6/720 + q**5/120 + 17*q**3/6 + 5*q**2. Let g(t) be the first derivative of w(t). Let g(y) = 0. Calculate y.
0, 2
Let s(u) = -2*u**2 - 134*u + 300. Let c(f) = -f**2 - 45*f + 100. Let t(a) = a - 14. Let j be t(9). Let w(b) = j*s(b) + 14*c(b). Factor w(x).
-4*(x - 5)**2
Suppose 7 = -z + 47. Factor -z*j + 85 + 4 + 5*j**2 - 9.
5*(j - 4)**2
Let z(t) = -t**2 - 1. Let r(m) = -2*m**5 + 2*m**4 + 4*m**3 - 7*m**2 - 2*m - 1. Let f(u) = -2*r(u) + 6*z(u). Solve f(h) = 0.
-1, 1
Let l(s) be the third derivative of -s**6/2520 - s**5/420 - 37*s**3/6 + 21*s**2. Let y(h) be the first derivative of l(h). Factor y(x).
-x*(x + 2)/7
Let a(g) = -5*g**2 + 25*g + 73. Let l(v) = 9*v**2 - 49*v - 139. Let c(t) = -5*a(t) - 3*l(t). Factor c(j).
-2*(j - 13)*(j + 2)
Let j(h) = h**2 - 5. Let z be j(-3). Let t(i) = 3*i**2 - 2*i - 9. Let l(u) = -5*u**2 + 5*u + 18. Let w(y) = z*l(y) + 7*t(y). Solve w(p) = 0 for p.
-3
Let l = -102 - -96. Let h be -1*(4 - 2) + (-16)/l. Solve -8/9*f**2 - h*f**3 + 2/9*f**5 + 0 + 4/9*f**4 + 8/9*f = 0.
-2, 0, 1
Let g(r) = -r**2 + r - 4. Let c(l) = -11*l**3 + 8*l**2 - 6*l + 24. Let w(s) = 5*c(s) + 30*g(s). Factor w(t).
-5*t**2*(11*t - 2)
Let l = 18 - -78. Suppose -f - 3*f + l = 0. Factor f*c**2 - 12*c**2 - 9*c + 6 - 9*c**2.
3*(c - 2)*(c - 1)
Let q be (-36)/(-21) - (-4)/14. Solve 16*s + 45 - 4*s**q - 23 - 38 = 0.
2
Solve -2 - 228*z**4 + 6*z**3 + 226*z**4 + 2*z - 6*z**2 + 2 = 0.
0, 1
Let g(r) be the third derivative of 0 + 0*r**4 + 1/2*r**3 + 8*r**2 + 0*r - 1/20*r**5. Factor g(u).
-3*(u - 1)*(u + 1)
Let y be (2 + -2)*(-3 - -2). Suppose 58*d - 53*d = y. Factor d - 1/2*l**2 + l - 1/2*l**3.
-l*(l - 1)*(l + 2)/2
Suppose 4*y - 2*h - h = 26, 0 = -2*y + 5*h + 6. Let u be ((-33)/(-44))/(2/y). Let 3*q**4 + 7*q**u + 12*q**2 + 5*q**3 + 2*q + q**4 + 2*q = 0. What is q?
-1, 0
Let z(v) be the first derivative of -10 - 2/3*v**3 + 2/3*v**2 + 1/6*v**4 + 0*v. What is j in z(j) = 0?
0, 1, 2
Let z(t) be the second derivative of -t**5/80 - t**4/6 - 5*t**3/24 + 7*t**2/4 - 3*t - 9. Let z(m) = 0. Calculate m.
-7, -2, 1
Suppose 4*f + 5*x = 5 + 23, -5*f - 6 = -4*x. Suppose -466*r**3 + 33*r - 4*r**2 + 433*r**3 + 6 - f*r**2 = 0. What is r?
-1, -2/11, 1
Let d(h) = 822*h**3 + 210*h**2 - 228*h - 75. Let l(k) = -1645*k**3 - 420*k**2 + 456*k + 149. Let u(s) = -5*d(s) - 3*l(s). Factor u(x).
3*(5*x + 2)**2*(11*x - 6)
Solve -22*x**3 - 26*x**3 + 11*x + 3 + 45*x**3 + 5*x**2 = 0 for x.
-1, -1/3, 3
Let r = -189 + 2269/12. Let s(j) be the second derivative of -1/4*j**2 - r*j**4 + 0 + 1/4*j**3 - 4*j. Solve s(b) = 0.
1/2, 1
Suppose 820*i = 2*u + 819*i - 2, -4*u = i - 28. Solve -8/3*y**4 + 2*y**u + 2/3*y**3 + 0*y + 0*y**2 + 0 = 0.
0, 1/3, 1
Let a be ((1 - 0) + -3)*(-405)/54. Determine h, given that -a*h**4 + 3*h**2 - 2*h**5 - 15*h**2 + 0*h**5 - 24*h**3 - h**5 = 0.
-2, -1, 0
Let b = 108 + -32. What is c in 32*c**3 - 3*c - 64*c**4 - 80*c**2 + 3*c + b*c**2 = 0?
0, 1/4
Let m(x) = -39*x**2 - 271*x + 14. Let a be m(-7). Factor -2/5*d**4 + 0 + 2/5*d**2 + 0*d**3 + a*d.
-2*d**2*(d - 1)*(d + 1)/5
Let g = 233 + -229. Let l(u) be the second derivative of 0*u**2 + 0 - 1/20*u**6 + 3/40*u**5 + 1/8*u**g - 1/4*u**3 - 7*u. Factor l(a).
-3*a*(a - 1)**2*(a + 1)/2
Let q(b) be the first derivative of -5*b**3 - 189*b**2/2 + 78*b + 123. Factor q(z).
-3*(z + 13)*(5*z - 2)
Suppose 0 = -2*x - 13 + 15. Let p(d) be the first derivative of 0*d**2 + 0*d + x - 1/3*d**3. Solve p(r) = 0.
0
Let b(a) be the first derivative of 2*a**3/3 - 10*a**2 + 42*a + 715. Solve b(z) = 0 for z.
3, 7
Let t(y) be the first derivative of y**5/230 - y**4/46 + 4*y**2/23 - 14*y - 17. Let z(o) be the first derivative of t(o). Factor z(c).
2*(c - 2)**2*(c + 1)/23
Suppose -2*k = -3*p + 29, -3*p + 4*k + k = -41. Factor -p - 16*i**2 - 14*i**2 + 3 + 9*i + 28*i**2.
-(i - 4)*(2*i - 1)
Let q(m) = -m**3 + 16*m**2 + 58*m - 19. Let j be q(19). Let p(b) be the third derivative of -1/24*b**3 + 0 + j*b + 1/48*b**4 + 1/80*b**5 - 9*b**2. Factor p(w).
(w + 1)*(3*w - 1)/4
Let f(d) be the second derivative of 5/4*d**4 + 2*d + 1/6*d**6 + 0 + 3/4*d**5 + 0*d**2 + 5/6*d**3. Factor f(j).
5*j*(j + 1)**3
Let g(d) be the third derivative of -3*d**7/455 + 5*d**6/52 - 11*d**5/195 - 4*d**4/39 + 57*d**2. Suppose g(s) = 0. Calculate s.
-1/3, 0, 2/3, 8
Let q(v) be the first derivative of -35*v**4/4 - 305*v**3/3 - 95*v**2 + 80*v - 73. Factor q(x).
-5*(x + 1)*(x + 8)*(7*x - 2)
Suppose 64*k + 3*k**4 - 93*k**2 - 20131 + 26*k + 20131 = 0. Calculate k.
-6, 0, 1, 5
Let g(h) be the third derivative of -h**6/480 - 11*h**5/240 - h**4/4 - 360*h**2. Factor g(o).
-o*(o + 3)*(o + 8)/4
Let n(l) be the second derivative of -5/8*l**3 + 3/16*l**5 - 5/48*l**4 + 27*l + 0*l**2 + 1/24*l**6 + 0. What is g in n(g) = 0?
-3, -1, 0, 1
Let a = 70 + -67. Let r be a + ((-4)/(-15) - 27/45). Factor 20/3*m**3 + 0 + r*m**2 + 0*m.
4*m**2*(5*m + 2)/3
Find n such that 3/5*n**3 - 3/5*n + 18/5 - 18/5*n**2 = 0.
-1, 1, 6
Let 4*i + 2/5*i**4 - 4*i**3 - 18/5 + 16/5*i**2 = 0. What is i?
-1, 1, 9
Let l(o) be the second derivative of -4*o - 5/9*o**3 - 1/18*o**4 - 4/3*o**2 + 0. Determine b, given that l(b) = 0.
-4, -1
Let l = 3/242 - -351/968. Let v(c) be the first derivative of 10 + 1/12*c**3 - l*c**2 - c. Factor v(t).
(t - 4)*(t + 1)/4
Let d(i) = i**2 - 61*i - 3. Let v(a) = -a**2 + 54*a + 2. Let f(z) = 2*d(z) + 3*v(z). Factor f(r).
-r*(r - 40)
Let g(d) be the third derivative of 3*d**8/896 + d**7/40 + 11*d**6/160 + 3*d**5/40 - d**4/64 - d**3/8 + 32*d**2. Find a such that g(a) = 0.
-2, -1, 1/3
Let x(g) be the second derivative of -841*g**6/165 + 667*g**5/110 + 5*g**4/2 + 3*g**3/11 + 236*g. Factor x(p).
-2*p*(p - 1)*(29*p + 3)**2/11
Suppose -25 = -4*m - 3*f, -3*m - 2*f + 10 = -8. Suppose m*q + 3 = -3*t + q, 4*t = -2*q + 4. Factor y**2 + 0*y - 2/3*y**t - 1/3.
-(y - 1)**2*(2*y + 1)/3
Let f(i) be the third derivative of i**8/20160 - 13*i**5/20 - i**2 - 2. Let q(s) be the third derivative of f(s). Suppose q(l) = 0. What is l?
0
Let l(a) = 240*a**2 + 3695*a + 51115. Let o(m) = -17*m**2 - 264*m - 3651. Let r(q) = 6*l(q) + 85*o(q). Factor r(j).
-5*(j + 27)**2
Suppose -n - 4*s + 2 = 0, s + 6 = n + 4. Let a = 361/132 - 16/33. Factor a*q**n + 3/2*q - 9*q**3 + 0 + 21/4*q**4.
3*q*(q - 1)**2*(7*q + 2)/4
Let v(m) = 10*m**3 - 8*m**2 + 4*m + 2. Suppose f = -4*f + 20. Let c(d) = 41*d**3 - 3 + d**f - 6 - 31*d**2 + 16*d + 18. Let u(i) = 4*c(i) - 18*v(i). Factor u(y).
4*y*(y - 2)*(y - 1)**2
Find j such that -2/13*j**3 - 1000/13 + 0*j + 30/13*j**2 = 0.
-5, 10
Let j(u) be the second derivative of -u**6/15 - 3*u**5/10 + u**4/2 + 7*u**3/3 - 6*u**2 + 47*u - 1. Factor j(g).
-2*(g - 1)**2*(g + 2)*(g + 3)
Let n(r) = -144*r - 2594. Let y(d) = d**2 - 144*d - 2595. Let x(g) = -6*n(g) + 4*y(g). Factor x(i).
4*(i + 36)**2
Let l(v) be the third derivative of v**9/1512 - v**7/210 + v**5/60 + 17*v**3/6 - 17*v**2. Let a(s) be the first derivative of l(s). Let a(u) = 0. What is u?
-1, 0, 1
Let m(d) = -450*d - 2695. Let u be m(-6). Determine v so that -1/4*v**4 + 5/4*v**2 + 1/4*v**u - 5/4*v**3 + v - 1 = 0.
-2, -1, 1, 2
Let y be (-32 - 0)/(-4) - 4. Let 5*x**4 - 9*x**3 + 6*x**3 + y*x**3 + 9*x**3 = 0. What is x?
-2, 0
Let o(z) be the third derivative of -1/784*z**8 - 9/280*z**6 + 3/245*z**7 + 0 + 0*z + 0*z**3 + 7*z**2 + 0*z**4 + 0*z**5. Factor o(k).
-3*k**3*(k - 3)**2/7
Factor -54/5*v**3 + 243/5*v**2 + 0 + 3/5*v**4 + 0*v.
3*v**2*(v - 9)**2/5
Suppose -2*x - 4 = 2*g, 3*x - 2*g = -2*x + 25. Let f(w) be the first derivative of -1/12*w**3 - 1/4*w**2 - 1/4*w + x. Solve f(r) = 0 for r.
-1
Find m such that 206/21*m**2 - 2/3*m**3 + 20/7*m + 0 = 0.
-2/7, 0, 15
Let u be (0 + (-14)/84)/((-1)/5). Let i(q) be the second derivative of 0*q**2 + 1/6*q**6 - 1/4*q**5 + 0 - 10*q + u*q**3 - 5/12*q**4. Factor i(g).
5*g*(g - 1)**2*(g + 1)
Let y = -126717/4 - -31682. Factor -5*q + y*q**2 - 1.