 23*s**5/105 + s**4/4 + 15*s**3/7 - 94*s**2. Suppose l(n) = 0. Calculate n.
-3, -1, 1, 5
Let y(t) be the second derivative of -7*t**6/120 - t**5/12 + t**4/12 + 11*t**2/2 - 4*t. Let o(w) be the first derivative of y(w). Factor o(g).
-g*(g + 1)*(7*g - 2)
Let r(v) = -18*v**3 + 2*v**2 + 2*v. Suppose 0 = 16*s - 13*s + 3. Let f be r(s). Factor -26/3*k - 4/3 - 46/3*k**3 - f*k**2 - 14/3*k**4.
-2*(k + 1)**3*(7*k + 2)/3
Solve 0*l + 1/4*l**2 - 4 = 0 for l.
-4, 4
Let p(k) be the second derivative of -k**7/2520 + k**6/144 - k**5/30 - 13*k**4/12 - 39*k. Let q(t) be the third derivative of p(t). Factor q(w).
-(w - 4)*(w - 1)
Let x(m) be the third derivative of 0*m**3 + 0*m**6 - 1/315*m**7 + 0*m**4 + 18*m**2 - 1/504*m**8 + 0 + 0*m + 0*m**5. Let x(l) = 0. Calculate l.
-1, 0
Let x be ((-46)/144 + 7/(-56))*(-120)/32. Factor -125/3 - x*z**2 - 50/3*z.
-5*(z + 5)**2/3
Let p(y) be the third derivative of 0*y**5 + 0*y - y**2 + 0*y**3 + 0 - 1/40*y**6 + 1/8*y**4. Factor p(b).
-3*b*(b - 1)*(b + 1)
Let n = -16 - -1. Let j = n + 21. Factor 4*l**2 - j*l + 3 - 5*l**2 + 4*l**2.
3*(l - 1)**2
Suppose 14*v = 10*v - 280. Let i = v + 73. What is d in -1/4*d + 1/4*d**i + 0 + 0*d**2 = 0?
-1, 0, 1
Factor -2/9*w**2 + 0 + 0*w + 2/9*w**3.
2*w**2*(w - 1)/9
Suppose -52*y**4 + 52*y**2 + 27*y**3 - 53*y**3 + 11*y**5 - 16*y + 31*y**5 = 0. What is y?
-1, 0, 4/7, 2/3, 1
Let s(m) = 6*m**3 + 6*m**2 - 28*m + 20. Let g(j) = 5*j**3 + 6*j**2 - 29*j + 21. Let w(b) = -4*g(b) + 3*s(b). Factor w(k).
-2*(k - 2)*(k - 1)*(k + 6)
Let h be (24/60)/(2/(-40)). Let b(p) = -p**3 - 7*p**2 + 9*p + 12. Let l be b(h). Determine t, given that t**2 + 24*t**l - 25*t**4 + t**5 - 2*t**3 + t**3 = 0.
-1, 0, 1
Let w be (-3 - (-150)/40)*1/9. Let g(h) be the first derivative of -3/20*h**5 - 3/16*h**4 - 1/24*h**6 + 0*h**2 - 4 + 0*h - w*h**3. What is q in g(q) = 0?
-1, 0
Let d(m) = 4*m**2 - 42*m + 70. Let o be d(2). Factor 4/9 - 20/9*q + 20/9*q**4 - 40/9*q**3 - 4/9*q**5 + 40/9*q**o.
-4*(q - 1)**5/9
Let j(c) be the first derivative of 4/3*c**3 + 4 + 17/30*c**5 + 4/3*c**4 + 1/12*c**6 + c**2 + 0*c. Let n(h) be the second derivative of j(h). Solve n(s) = 0.
-2, -1, -2/5
Factor 154*g**2 - 1/2*g**5 + 1331 - 133*g**3 + 15*g**4 + 3267/2*g.
-(g - 11)**3*(g + 1)*(g + 2)/2
Let x = -1449 + 1449. Let p(r) be the second derivative of 0*r**2 + 0*r**4 + 0*r**3 - 1/30*r**6 + 11*r + x - 1/20*r**5. Let p(h) = 0. What is h?
-1, 0
Let f(u) be the second derivative of 1/6*u**4 + 0 + 1/3*u**3 + 0*u**2 - u. Determine x, given that f(x) = 0.
-1, 0
Let h(c) be the third derivative of -c**5/12 + 25*c**4/2 - 750*c**3 + c**2 - 4*c. Solve h(m) = 0.
30
Let y be (((-2)/4)/1)/((-1)/4). What is j in -13 + 10 + 248*j - 250*j + j**y = 0?
-1, 3
Suppose 37*f - 54 = 28*f. Let y(t) be the third derivative of f*t**2 + 0 + 1/4*t**5 + 4*t**3 + 0*t + 11/4*t**4. Factor y(x).
3*(x + 4)*(5*x + 2)
Let b(f) be the second derivative of -f**7/70 - f**6/20 + f**5/20 + f**4/4 + f**2/2 - 9*f. Let w(z) be the first derivative of b(z). Factor w(y).
-3*y*(y - 1)*(y + 1)*(y + 2)
Let y be ((-3)/(-6))/((-3)/(-30)). Factor y*f**2 - 6*f + 25*f**2 - 18*f**3 + 69*f + 27 - 6*f**4 + 3*f**5 - 3*f**4.
3*(f - 3)**2*(f + 1)**3
Let a(q) = 13 - 2*q**2 - 10 + 3*q**2. Let i be a(0). What is l in 2*l + i*l**2 + 3*l - 2*l + l**3 + 1 = 0?
-1
Let d be 26 - ((-38340)/165)/(-9). Find h, given that 2/11*h - 6/11 + 6/11*h**2 - d*h**3 = 0.
-1, 1, 3
Let l(w) be the third derivative of -w**7/12600 + w**6/1800 - 11*w**4/12 + 28*w**2. Let z(d) be the second derivative of l(d). Factor z(c).
-c*(c - 2)/5
Suppose 3*x + 6 = -12. Let s be ((-42)/(-22) - 2)*x. Solve -4/11*g**4 + 2/11 + 2/11*g**2 + 6/11*g**3 - s*g = 0.
-1, 1/2, 1
Let c(f) be the third derivative of f**6/300 + 23*f**5/150 + 14*f**4/5 + 132*f**3/5 - 550*f**2. Factor c(n).
2*(n + 6)**2*(n + 11)/5
Let d(u) = -2*u + 30. Let l be d(14). Factor 1777*p**2 - 288 - 21*p - 1779*p**l - 27*p.
-2*(p + 12)**2
Let l be 16/120 - (-20)/(-150). Factor l + 2/7*t - 2/7*t**2.
-2*t*(t - 1)/7
Suppose 0 = 3*d + 45 - 42, 0 = 3*s - d - 7. Determine r, given that 0 + 0*r + 4/9*r**s + 2/9*r**3 = 0.
-2, 0
Let u be (-170)/680*4/(-5)*20/14. Factor -10/7*k + 8/7 + u*k**2.
2*(k - 4)*(k - 1)/7
Let r(y) be the first derivative of y**4/4 - 8*y**3/3 + 13*y**2/2 - 6*y - 22. Factor r(u).
(u - 6)*(u - 1)**2
Suppose 4*i + 2*q = 4*q + 12, -2*i + 6 = -2*q. Factor 10*s**2 - 10*s**5 - 6*s**i - 10*s**4 + s**3 + 15*s**5.
5*s**2*(s - 2)*(s - 1)*(s + 1)
Let v = -208 + 388. Let v*l - 60*l**4 + 55*l**3 + 230*l**2 - 28*l**5 + 42 - 2 + 3*l**5 = 0. What is l?
-2, -1, -2/5, 2
Let c be 7*2*(3 + -2). Let d(x) = 8*x - 8. Let n be d(5). Factor -n - 7*f**2 + c*f**2 - 9*f**2 + 16*f.
-2*(f - 4)**2
Let u(j) = j**3 - 17*j**2 - 18*j + 5. Let s be u(18). Suppose s*v = 3*v + 4. Factor -12*o**2 + 22*o**3 - 10*o**4 - v*o**3 - 4*o + 4 + 2*o**4.
-4*(o - 1)**3*(2*o + 1)
Let v(i) = 4*i**4 - 10*i**3 + 16*i**2 - 8*i + 2. Let p(m) = -17*m**4 + 39*m**3 - 63*m**2 + 32*m - 9. Let n(l) = -2*p(l) - 9*v(l). Factor n(c).
-2*c*(c - 4)*(c - 1)**2
Let t = 22 + -18. Let k be ((-6)/t)/(3/(-8)). Find m, given that -89*m**2 + 85*m**2 - m**4 - 4*m + 12*m**3 - 8*m**5 + 5*m**k = 0.
-1, -1/2, 0, 1
Let i(t) = -t**3 + 6*t**2 + 10. Let h be i(6). Let j be ((-4)/(-2))/(h/25). Suppose -c**2 + 2 + c**2 + 6*c**3 + 4*c**2 - j*c**3 + 5*c = 0. Calculate c.
-2, -1
Let m(t) = -4*t**2 + 52*t + 52. Let w(y) = y. Let h(f) = m(f) - 4*w(f). Solve h(r) = 0 for r.
-1, 13
Let t(h) be the first derivative of 12*h**5/5 + 3*h**4/4 - 16*h**3 - 6*h**2 + 31. Factor t(i).
3*i*(i - 2)*(i + 2)*(4*i + 1)
Let t = -633/95 + 138/19. Determine p so that t*p + 3/5*p**3 - 6/5*p**2 + 0 = 0.
0, 1
Let k(b) be the second derivative of 18*b + 1/54*b**4 - 1/9*b**3 + 0 - 1/135*b**6 + 0*b**2 + 1/30*b**5. What is v in k(v) = 0?
-1, 0, 1, 3
Let x be -8*3/(-126)*6. Determine g, given that -x*g + 4/7*g**2 + 2/7*g**3 - 16/7 = 0.
-2, 2
Let d = 130/33 - 1007/264. Let s(l) be the second derivative of 0 + 5/16*l**4 - 2*l + d*l**3 - 3/8*l**2 + 9/80*l**5. Factor s(c).
3*(c + 1)**2*(3*c - 1)/4
Let k = -7 + -5. Let s be (-8)/k*-1*-3. Factor -3*u**s + 10*u**2 + 3*u**4 + 8*u**2 - 12*u**3 - 6*u.
3*u*(u - 2)*(u - 1)**2
Let p(m) be the second derivative of m**7/315 + m**6/48 + m**5/45 - m**4/48 - m**2/2 + m. Let t(y) be the first derivative of p(y). Let t(d) = 0. Calculate d.
-3, -1, 0, 1/4
Let j = 10674 - 21321/2. Factor j*f**4 + 51*f**2 + 39*f**3 + 3/2*f**5 + 15/2 + 63/2*f.
3*(f + 1)**4*(f + 5)/2
Suppose 68*g - 125 - 11 = 0. Solve 4/3 + 10/3*k - 14/3*k**g = 0.
-2/7, 1
Solve -2/7*i**2 + 36/7 - 34/7*i = 0.
-18, 1
Let q(w) be the second derivative of -w**6/60 + 7*w**5/20 - 2*w**4 - 7*w**3/6 + 49*w**2/4 - 2*w - 104. Factor q(h).
-(h - 7)**2*(h - 1)*(h + 1)/2
Let c = -54 + 59. Factor 10*j**3 + 4*j**4 - 3269*j + j**4 - c + 3259*j.
5*(j - 1)*(j + 1)**3
Factor -r**2 + 9/4*r - 1/2.
-(r - 2)*(4*r - 1)/4
Suppose -5*k = -5*j + 30, -3*j + 0*j + 12 = -k. Let b(v) = -7*v**2 - 3*v + 7. Let t(y) = -48*y**2 - 20*y + 48. Let s(w) = j*t(w) - 20*b(w). Factor s(a).
-4*(a - 1)*(a + 1)
Solve 59/3*p**2 - 2/3*p + 0 = 0.
0, 2/59
Solve 4/5*y**4 + 0*y**2 + 0 + 0*y - 4/5*y**5 + 0*y**3 = 0 for y.
0, 1
Let l(d) be the third derivative of 0*d**4 + 1/3*d**3 - 1/240*d**6 + 1/140*d**7 + 0*d + 0 - 13*d**2 - 7/120*d**5 + 1/672*d**8. Suppose l(u) = 0. Calculate u.
-2, -1, 1
Let h(b) = 1 - 5 + 33*b - 42*b - 2*b**2 + b**2. Let i be h(-8). Solve 0 - i*c**5 + 0*c + 1/2*c**3 - c**4 + 0*c**2 = 0 for c.
-1/2, 0, 1/4
Suppose -5*j + 6 = j. Let g(r) = 1. Let f(t) = -4*t**2 - 4*t - 12. Let m(k) = j*f(k) + 12*g(k). Find x such that m(x) = 0.
-1, 0
Factor 24/7*p + 10*p**2 + 0 - 6/7*p**3.
-2*p*(p - 12)*(3*p + 1)/7
Let k(i) = 4*i**3 - 40*i**2 - 42*i - 22. Let g be k(11). Let 14/5*q**5 + g*q + 4/5*q**4 + 0*q**2 + 0*q**3 + 0 = 0. Calculate q.
-2/7, 0
Suppose 4*p = 8 + 4. Factor -3 - 3*q**4 + 2*q**p - 8*q**3 + 183*q**2 + 3*q**5 - 177*q**2 + 3*q.
3*(q - 1)**3*(q + 1)**2
Let v = 177 - 173. Let d(u) be the third derivative of 0 - 1/36*u**v + 0*u - 1/180*u**6 + 1/45*u**5 - 4*u**2 + 0*u**3. Suppose d(j) = 0. What is j?
0, 1
Let i(m) be the second derivative of -14*m + 1/4*m**5 - 5/2*m**3 + 5/6*m**4 + 0*m**2 + 0. What is a in i(a) = 0?
-3, 0, 1
Let a(q) be the second derivative of q**4/16 - 27*q**2/8 - 5*q - 2. Factor a(x).
3*(x - 3)*(x + 3)/4
Let m(s) be the th