5*w = 0. Let b(j) be the first derivative of 0*j - 12 - 3/4*j**4 + w*j**2 - 6/5*j**5 + j**3. Suppose b(l) = 0. Calculate l.
-1, 0, 1/2
Let w(r) be the second derivative of 0*r**2 - 12*r - 1/30*r**6 + 0 + 1/3*r**3 - 1/42*r**7 + 3/20*r**5 + 5/12*r**4. Determine o so that w(o) = 0.
-1, 0, 2
Suppose -13*j - 4168 + 4220 = 0. Factor -1/2*p**5 - p**2 + p**3 + 1/2 + 1/2*p**j - 1/2*p.
-(p - 1)**3*(p + 1)**2/2
Let n(v) be the third derivative of v**8/48 - v**7/42 - 11*v**6/40 + 29*v**5/60 + 13*v**4/12 - 4*v**3 - 375*v**2. Suppose n(s) = 0. Calculate s.
-2, -1, 1, 12/7
Let k = 742 + -3704/5. Solve 72/5*x**3 + 51/5*x**4 + 0 + 39/5*x**2 + k*x + 12/5*x**5 = 0.
-2, -1, -1/4, 0
Let m(v) = v**3 - 6*v**2 + 2*v + 8. Let n be m(6). Let c = n - 9. Factor 3*f**3 + 2*f - 5*f**2 + f + 0*f + c*f**2.
3*f*(f + 1)**2
Let i(y) be the third derivative of 0 + 1/540*y**5 - 2/27*y**3 + 25*y**2 + 0*y**4 + 0*y. Factor i(h).
(h - 2)*(h + 2)/9
Factor -1589*v**2 - 269*v - 2*v**3 + 1629*v**2 + 69*v.
-2*v*(v - 10)**2
Suppose 0 = 2*n + 4*n - 12. Suppose -5*y + 2*r = -n*y - 22, -4*y - 4*r + 36 = 0. Factor -y - h + 10 - 2 + h**3.
h*(h - 1)*(h + 1)
Let p be (-8)/(-3)*(-8)/96*-6. Let l(w) be the first derivative of p*w**3 + 0*w - 4/5*w**5 + 2*w**2 - 3/4*w**4 - 1/6*w**6 + 11. Let l(b) = 0. What is b?
-2, -1, 0, 1
Let k(n) be the second derivative of -n**5/50 - 2*n**4/15 + n**3/3 + 18*n - 4. Factor k(z).
-2*z*(z - 1)*(z + 5)/5
Let w(d) = 65*d - 61. Let f be w(1). Factor 4/3*h**3 - f*h**2 - 12*h - 20/3.
4*(h - 5)*(h + 1)**2/3
Suppose 4*c - 2*c = 28. Factor -40*h - 42*h**2 + 7*h**4 - 7*h**4 - 2 + c*h**4 + 4*h**3 - 6.
2*(h - 2)*(h + 1)**2*(7*h + 2)
Let h = -206 + 212. Suppose -3*k = 12, 3*k + 42 = b + 4*b. What is j in -3*j**2 - 5*j - h*j + 2*j - b = 0?
-2, -1
Let q(d) be the third derivative of -14*d**2 + 37/30*d**5 + 4*d**3 + 0 + 11/3*d**4 + 0*d + 1/12*d**6. Suppose q(n) = 0. What is n?
-6, -1, -2/5
Let s = 294 + -290. Let u(f) be the second derivative of -3*f**2 - 3*f - f**s + 5/2*f**3 + 3/20*f**5 + 0. Solve u(a) = 0 for a.
1, 2
Suppose o - 1 = w, -w - 3*o = 2*o - 23. Suppose 4*r = w + 5. Determine i, given that -1/4*i + 0 - 3/4*i**r = 0.
-1/3, 0
Let n(v) = 5*v**2 - 8*v + 4. Let j(a) = a**3 - a + 1. Let r be (2 - 6)*15/(-20). Let t(y) = r*n(y) - 3*j(y). Find q, given that t(q) = 0.
1, 3
Let q(y) be the second derivative of 28*y + 25/6*y**3 - 15/2*y**2 + 5/6*y**4 - 3/2*y**5 + 1/6*y**6 + 5/42*y**7 + 0. Factor q(g).
5*(g - 1)**3*(g + 1)*(g + 3)
Suppose 0 = 2*s - 5*t + 8*t - 22, 2*s = 4*t - 20. Solve 0 + 2/3*v**3 + 0*v + 4/9*v**s + 2/9*v**4 = 0.
-2, -1, 0
Let q = -6612 - -6612. Determine y, given that 2/11 - 2/11*y**2 + q*y = 0.
-1, 1
Factor 190 + 94 - 5*s**2 + 156 - 68*s + 130*s + 148*s.
-5*(s - 44)*(s + 2)
Suppose 3*h - 9 = 4*z, -6 = 3*h - 3*z - 15. Suppose 4*d + d = -h*d. Let d*k**4 - 1/5*k + 2/5*k**3 + 0 + 0*k**2 - 1/5*k**5 = 0. What is k?
-1, 0, 1
Let c(w) = -5*w**4 - 35*w**3 - 45*w**2 - 5*w - 5. Let v(b) = -8*b**4 - 53*b**3 - 67*b**2 - 7*b - 7. Let n(d) = 7*c(d) - 5*v(d). Let n(o) = 0. What is o?
-2, 0
Let o(j) be the first derivative of 5 + 10/9*j**3 + 2/3*j + 2*j**2. Factor o(m).
2*(m + 1)*(5*m + 1)/3
Let g(c) be the second derivative of -c**6/15 - 3*c**5/5 - 2*c**4 - 10*c**3/3 - 3*c**2 - c - 18. Let g(z) = 0. What is z?
-3, -1
Let s(k) be the third derivative of -k**10/226800 + k**8/10080 + k**7/3780 + 7*k**5/30 + 3*k**2. Let v(r) be the third derivative of s(r). Factor v(o).
-2*o*(o - 2)*(o + 1)**2/3
Suppose -h - 4 + 8 = 0. Let t = 2 - 0. Factor -f**2 - 3*f - h*f**2 - f**2 - 6*f**t.
-3*f*(4*f + 1)
Let r(n) be the third derivative of 7*n**6/72 + 61*n**5/36 + 15*n**4/2 - 10*n**3 - n**2 - 181. What is v in r(v) = 0?
-6, -3, 2/7
Suppose 5*y - 27 = -22. Let w(q) be the first derivative of 1/12*q**3 - y + 1/4*q + 1/4*q**2. Determine x, given that w(x) = 0.
-1
Suppose -1/2*l**4 + 9/2*l**2 + l - 4 - l**3 = 0. Calculate l.
-4, -1, 1, 2
Let k = 87 - 81. Let m(g) = g**2 + 30*g + 41. Let d(y) = 5*y**2 + 180*y + 245. Let r(t) = k*d(t) - 35*m(t). Determine w, given that r(w) = 0.
-1, 7
Let p = -90 - -93. Let u(i) be the first derivative of -3/4*i**2 + 0*i - 1/2*i**p + 6. Factor u(j).
-3*j*(j + 1)/2
Solve 2/9*v + 4/9*v**2 + 0 + 2/9*v**3 = 0.
-1, 0
Let u(k) be the first derivative of -k**3/12 + k**2/4 + 2*k + 42. What is m in u(m) = 0?
-2, 4
Suppose -2*k = -3*x - 27, 0 = 1474*k - 1479*k + 3*x + 36. Factor -2/5*b**4 - 66/5*b**2 - 16*b - 4*b**k - 32/5.
-2*(b + 1)**2*(b + 4)**2/5
Let m be 6 + -2*(-2)/(-2). Let n be 0/((-10)/m*4/(-5)). Factor 2/3*g + n*g**2 + 0 - 2/3*g**3.
-2*g*(g - 1)*(g + 1)/3
Let y(c) be the first derivative of c**4/13 + 2*c**3/39 - 8*c**2/13 - 8*c/13 + 158. Let y(r) = 0. Calculate r.
-2, -1/2, 2
Suppose 0 = -31*k + 2 + 91. Let o(c) be the third derivative of 0*c**k - 1/30*c**5 + 0 - 1/120*c**6 + 0*c + 0*c**4 - c**2. Factor o(u).
-u**2*(u + 2)
Let c be 2/(-4)*0/(72/9). Factor c*y + 0 - 1/2*y**2.
-y**2/2
Let o = -18357 - -18359. Find m, given that m + 0 + 1/2*m**o = 0.
-2, 0
Suppose 1 = -q + 2. Suppose 3*v = -2*b + 2, -q = 4*v - 2*b + 1. Find m, given that -11/3*m**4 + 0*m + 2/3*m**2 - 5/3*m**3 + v - 4/3*m**5 = 0.
-2, -1, 0, 1/4
Suppose -36*s**4 + 23*s**2 - 79*s - 23 + 106*s**3 + 3 - 6 + 39*s**4 - 27*s**3 = 0. What is s?
-26, -1, -1/3, 1
What is q in 90*q + 567/2 - 3/2*q**2 = 0?
-3, 63
Let l(c) = 2*c - 19. Let n be l(11). Suppose 16*h - 12*h**3 + 2*h**2 + 2*h**5 - 2*h**4 - 32 + 2*h**n - 27 + 67 = 0. Calculate h.
-1, 2
Let u(d) = d**3 - 3*d**2 - 31*d + 23. Let q be u(7). Factor 4/3 + 1/3*h**q + 5/3*h.
(h + 1)*(h + 4)/3
Let u be (-13)/(-7) + (-44)/(-14) + -3. Factor 3*k + 6 + 4*k**2 - 12*k**u - 9*k**3 - 3*k**2 - k**2.
-3*(k + 1)**2*(3*k - 2)
Let z be (-4)/(-10) - (-396)/(-90). Let f be -2 + z/2 - -28. Factor -33*k**2 + 14*k**3 - 6*k**2 + 4*k**3 - 1 - 2 + f*k.
3*(k - 1)**2*(6*k - 1)
Let r(n) be the third derivative of 0 + 1/140*n**5 + 2*n**2 + 5/6*n**3 + 1/1260*n**6 + 1/42*n**4 + 0*n. Let c(z) be the first derivative of r(z). Factor c(k).
2*(k + 1)*(k + 2)/7
Let i = 102710/3 + -34236. Solve -10/9*k**2 + i*k + 2/9*k**4 - 2/3*k**3 + 8/9 = 0.
-1, 1, 4
Factor -u**5 - 7*u**3 - 2*u + 43*u**2 + 20*u**3 + 26*u - 9*u**4 + 2*u**4.
-u*(u - 3)*(u + 1)**2*(u + 8)
Let w be ((-115)/(-368))/((-10)/(-16)). Factor -50 - w*a**2 - 10*a.
-(a + 10)**2/2
Let g(x) = -6*x**4 + 229*x**3 - 2165*x**2 - 2400*x. Let s(c) = 3*c**4 - 114*c**3 + 1083*c**2 + 1200*c. Let y(t) = -3*g(t) - 5*s(t). Factor y(h).
3*h*(h - 20)**2*(h + 1)
Let u(q) be the first derivative of q**5/40 + q**4/24 - q**3/6 + 3*q + 5. Let d(l) be the first derivative of u(l). Suppose d(m) = 0. Calculate m.
-2, 0, 1
Let u(b) be the first derivative of b**5/20 - b**3/6 + 39*b - 22. Let l(n) be the first derivative of u(n). Factor l(r).
r*(r - 1)*(r + 1)
Suppose -60*q + 58*q - g - 5 = 0, -5*q = 4*g + 26. Factor 20/3*f + 2*f**2 + q.
2*(f + 3)*(3*f + 1)/3
Suppose -4 = -2*n + 24. Let w = n - 12. Suppose k**w + 2 + k + k + k - 6*k = 0. Calculate k.
1, 2
Let q = -186 + 190. Suppose x = 5, -4*x + 4 = q*a - 28. Let 4/9*v**a + 0 - 4/9*v**4 + 8/9*v**2 + 0*v = 0. What is v?
-1, 0, 2
Let l(o) be the second derivative of -o**6/2520 + o**5/280 - o**4/84 - o**3/6 + 8*o. Let a(u) be the second derivative of l(u). Factor a(f).
-(f - 2)*(f - 1)/7
Let t(s) be the first derivative of 0*s**2 - 7 + 3/2*s**4 + 0*s + s**3 + 3/5*s**5. Determine o, given that t(o) = 0.
-1, 0
Let n(m) be the third derivative of m**5/10 - 47*m**4/24 + 35*m**3/6 - 10*m**2 + 8*m. Factor n(g).
(g - 7)*(6*g - 5)
Let m(g) be the first derivative of 9/2*g**2 + 3/4*g**4 - 5 + 3*g + 3*g**3. Factor m(t).
3*(t + 1)**3
Let k = 679 - 122219/180. Let n(d) be the third derivative of k*d**5 + 0 - 1/36*d**4 + 3*d**2 - 1/6*d**3 + 0*d. Factor n(a).
(a - 3)*(a + 1)/3
Let s(a) = a**3 - 39*a**2 - 264*a - 267. Let g be s(45). Factor -2/7*w**2 + 0 + 0*w + w**g.
w**2*(7*w - 2)/7
Let m(s) be the third derivative of -s**7/504 - s**6/18 - 2*s**5/3 + s**4/24 + 7*s**2. Let q(k) be the second derivative of m(k). Suppose q(b) = 0. Calculate b.
-4
Factor 0 + 22/9*m + 2/9*m**2.
2*m*(m + 11)/9
Factor -406*l**2 + 41*l**3 - 9*l**3 - 4*l**5 + 454*l**2 - 4*l**4.
-4*l**2*(l - 3)*(l + 2)**2
Suppose 4*a = 7*a - 9. Let u(j) be the third derivative of -1/60*j**5 + 1/12*j**4 - 3*j**2 + 0*j + 0 - 1/6*j**a. Determine q, given that u(q) = 