237 + -30709/3. Factor -w*j - 2/3*j**2 + 4.
-2*(j - 2)*(j + 3)/3
Suppose 2*v**2 - 4*v**2 + 8*v + 22*v + 16 - 6*v - 10*v = 0. Calculate v.
-1, 8
Let g(j) be the third derivative of j**6/40 + 9*j**5/20 + 3*j**4/4 - 8*j**3 + 7*j**2 + 13. Factor g(s).
3*(s - 1)*(s + 2)*(s + 8)
Let p = 166 - 178. Let s = -12 - p. Solve 0*j**2 - 9/4*j**3 + s + 0*j + 3/4*j**4 = 0 for j.
0, 3
Let b(h) be the third derivative of h**7/840 + h**6/120 + h**5/40 + h**4/24 + 5*h**3/3 - 13*h**2. Let v(a) be the first derivative of b(a). Factor v(t).
(t + 1)**3
Let t = 162 - 162. Let p(v) be the second derivative of 0*v**2 + 0 + t*v**3 - 6*v - 1/9*v**4. Factor p(i).
-4*i**2/3
Suppose 0 = 4*l - 2*l + c - 27, 0 = 2*l - 3*c - 23. Suppose 10*s - 17 - l = 0. Factor 8/5*w**2 + 0*w - 4*w**s - 28/5*w**4 + 0.
-4*w**2*(w + 1)*(7*w - 2)/5
Suppose -4*f**3 + 180*f**2 - 53*f + 2*f**3 - 267*f + 96 + 28*f**2 - 10*f**4 - 14*f**3 = 0. Calculate f.
-6, 2/5, 2
Let a = 9 - -17. Let n = a + -24. Factor 2*u**n + 7*u**2 + 6 + u - 16*u.
3*(u - 1)*(3*u - 2)
Factor 2/9*y**3 + 0 + 8*y - 10/3*y**2.
2*y*(y - 12)*(y - 3)/9
Let s(k) be the second derivative of 19*k - 8/21*k**7 + 0*k**2 - k**5 + 1/3*k**4 + 0 + 16/15*k**6 + 0*k**3. Determine l, given that s(l) = 0.
0, 1/2, 1
Let g(o) be the first derivative of o**3 + 12*o - 5*o**2 + 8*o + 42 + 2*o**2 - 17*o. Factor g(v).
3*(v - 1)**2
Suppose 6*f + 3*f = 4*f. Let w(x) be the third derivative of -4*x**2 + 1/150*x**5 + 0*x**3 + f + 1/30*x**4 + 0*x. Suppose w(b) = 0. Calculate b.
-2, 0
Let c(p) = -5*p + 3 - 7*p + 11*p. Let d be c(-6). Let -3 + u**2 - d + 10 - u + 0*u = 0. What is u?
-1, 2
Let h(j) be the second derivative of 0*j**2 + 0 + 1/33*j**3 + 1/66*j**4 + 31*j. Solve h(r) = 0.
-1, 0
Let g = -17 - -49. Suppose -2*c + g = 6*c. Factor -2/9*l**c - 2/9*l - 2/9 - 2/9*l**5 + 4/9*l**2 + 4/9*l**3.
-2*(l - 1)**2*(l + 1)**3/9
Let z(q) be the third derivative of -2*q**7/231 + 19*q**6/660 - q**5/30 + q**4/66 + 275*q**2. Solve z(h) = 0 for h.
0, 2/5, 1/2, 1
Solve 1817*m**4 + 5*m**5 + 16*m + 20*m**2 - 20*m**3 - 1821*m**4 - m**5 - 14 - 2 = 0 for m.
-2, -1, 1, 2
Let h(w) be the third derivative of -1/45*w**3 + 0*w - 1/2520*w**8 + 1/450*w**6 - 1/1575*w**7 + 0 - 1/180*w**4 - 2*w**2 + 1/225*w**5. Factor h(k).
-2*(k - 1)**2*(k + 1)**3/15
Let g(p) be the third derivative of -p**8/2520 + p**7/630 - p**6/540 + p**3 - 12*p**2. Let k(f) be the first derivative of g(f). Factor k(w).
-2*w**2*(w - 1)**2/3
Determine z so that 205/2*z - 14*z**2 + 1/2*z**3 - 225 = 0.
5, 18
Let d(y) be the second derivative of y**4/12 + y**3/3 + y + 28. Factor d(i).
i*(i + 2)
Let v(y) be the first derivative of 2/95*y**5 + 2 - 8/19*y - 8/19*y**2 - 2/19*y**3 + 1/19*y**4. Find b such that v(b) = 0.
-2, -1, 2
Suppose 2 = -2*l - 3*z, 2*l - 4*z = -3*z + 6. Find w, given that -8*w**2 - 3*w**3 + 7*w**l - 5*w**2 = 0.
-2, 0
Factor 213*m**2 - 193*m**2 - 4*m**3 + 0*m**3.
-4*m**2*(m - 5)
Let h(z) be the third derivative of -z**6/72 + 17*z**3/2 + 36*z**2. Let b(c) be the first derivative of h(c). Factor b(v).
-5*v**2
Let y(z) = z**2 - 2*z. Let c(a) = -5*a**3 + 5*a**2 + a - 6. Let k(d) = 6*d**3 - 6*d**2 - d + 7. Let l(t) = 7*c(t) + 6*k(t). Let w(h) = l(h) + y(h). Factor w(b).
b*(b - 1)*(b + 1)
Let n(p) be the second derivative of p**6/10 + 9*p**5/20 + p**4/2 - 87*p. Factor n(y).
3*y**2*(y + 1)*(y + 2)
Let r(n) be the second derivative of n**5/10 + 1991*n**4/24 + 41251*n**3/2 - 62001*n**2/4 - 290*n - 2. Solve r(z) = 0.
-249, 1/4
Let t be 0 + (2/15 - (-258)/90). Suppose 2/5*l**4 - 1/5*l**t + 0 - 2/5*l**2 + 0*l + 1/5*l**5 = 0. Calculate l.
-2, -1, 0, 1
Let o be -4 + (23 + -14)/(3 + -2). Let r(b) be the second derivative of 0*b**4 + 4*b + 0 + 0*b**2 - 1/24*b**3 + 1/80*b**o. Factor r(c).
c*(c - 1)*(c + 1)/4
Let -3*r**2 + 17*r**2 - 4*r**2 + r**4 - 6*r**2 - 5*r**3 = 0. What is r?
0, 1, 4
Let i(d) = -2*d**3 - 154*d**2 + 269*d - 123. Let q(v) = -76*v**2 + 134*v - 62. Let h(g) = -2*i(g) + 5*q(g). Factor h(k).
4*(k - 16)*(k - 1)**2
Let i(t) be the third derivative of t**5/120 + t**4/48 - t**3/6 - 12*t**2 - 2*t. Suppose i(k) = 0. What is k?
-2, 1
Let n(k) be the second derivative of 15*k**7/2 - 69*k**6/2 + 257*k**5/4 - 745*k**4/12 + 100*k**3/3 - 10*k**2 + 3*k + 15. Find z such that n(z) = 0.
2/7, 1/3, 2/3, 1
Let j(c) be the second derivative of -4*c**5/5 + 109*c**4/3 + 170*c**3/3 - 56*c**2 - 185*c. Factor j(o).
-4*(o - 28)*(o + 1)*(4*o - 1)
Let i(b) be the third derivative of b**8/672 - 3*b**7/140 + 7*b**6/80 - 19*b**5/120 + b**4/8 - 125*b**2. Factor i(d).
d*(d - 6)*(d - 1)**3/2
Let z(m) = 20*m**3 - 57*m**2 + 43*m + 6. Let n(d) = 18*d**3 - 56*d**2 + 40*d + 6. Let b(g) = 3*n(g) - 2*z(g). Factor b(r).
2*(r - 3)*(r - 1)*(7*r + 1)
Let l be (-16)/(-7) - (-46)/(-161). Factor 12*h**2 - 16 - 5*h**l - h**3 - 10*h + 2*h.
-(h - 4)**2*(h + 1)
Let w(u) be the second derivative of 3*u**5/20 + 63*u**4/4 - u**3/2 - 189*u**2/2 - 175*u. Let w(m) = 0. Calculate m.
-63, -1, 1
Let u(h) be the second derivative of 11*h**6/1200 - h**5/200 - 4*h**2 + 7*h. Let p(m) be the first derivative of u(m). Factor p(f).
f**2*(11*f - 3)/10
Let r = 4224/115 - 762/23. Factor 0 + 6*x**3 + r*x**2 + 2/5*x - 10*x**4.
-2*x*(x - 1)*(5*x + 1)**2/5
Let s(x) = 3*x**2 - 5*x + 5. Let j(r) = -r**2 + r - 1. Let i(z) = -4*j(z) - s(z). Let a(p) = 15*p**2 + 18*p - 15. Let v(w) = -a(w) + 18*i(w). Factor v(q).
3*(q - 1)*(q + 1)
Let w(f) be the second derivative of -f**4/6 + 7*f**2/2 - 22*f. Let z(n) = 1. Let m(x) = -w(x) + 5*z(x). Solve m(t) = 0.
-1, 1
Let y = 10556 - 52777/5. Determine d so that -y*d**2 + 6/5 - 7/5*d = 0.
-3, 2/3
Let u = -43 + 23. Let c = u - -22. Find p such that 2 + 3*p**3 + 2*p**3 - 4*p**3 - c*p**4 + 4*p - 5*p**3 = 0.
-1, 1
Let a(y) = 3*y + 12. Let w be a(-4). Suppose 3*n - 2*h = -10, n - 2*h - 2*h + 20 = w. Factor n + 2/5*z**2 + 6/5*z.
2*z*(z + 3)/5
Let c(f) = 121*f**2 + 246*f + 20. Let w(u) = 120*u**2 + 245*u + 20. Let y(s) = 5*c(s) - 6*w(s). Factor y(d).
-5*(d + 2)*(23*d + 2)
Factor -129*k**2 + 184*k**2 - 16*k**3 - 34*k**3 - 5*k**4.
-5*k**2*(k - 1)*(k + 11)
Let i(s) be the first derivative of 21 - 2/15*s**3 - 4/5*s**2 + 2*s. Let i(d) = 0. What is d?
-5, 1
Let n(b) = b**2 - 21*b - 5. Let f be n(13). Let t = -539/5 - f. Let t*q + 2*q**2 - 18/5 + 2/5*q**3 = 0. What is q?
-3, 1
Let k be -5 + (615/81 - 10/(-135)). Find u, given that -8/3*u**2 - 2/3*u**4 + 0*u + 0 + k*u**3 = 0.
0, 2
Suppose -3*z = -4*t - 64, 48 = 3*z - 3*t - 12. Suppose -p - 3*p = -z. What is q in 11*q + 6*q**4 - 4*q**3 - 14*q + 3*q**5 - 6*q**2 + p*q**3 = 0?
-1, 0, 1
Let x be 3942/(-5110) + 12/10. What is w in 9/7 - x*w**3 + 15/7*w**2 - 3*w = 0?
1, 3
Let w(a) = -6*a**3 + 12*a**2 + 35*a - 41. Let o(u) = 21*u**3 - 42*u**2 - 123*u + 144. Let x(z) = 5*o(z) + 18*w(z). Let x(n) = 0. What is n?
-2, 1, 3
Let c(v) = 8*v**4 - 17*v**3 - 32*v**2 + 23*v - 9. Let y(f) = -4*f**4 + 8*f**3 + 16*f**2 - 12*f + 4. Let o(a) = 4*c(a) + 9*y(a). Factor o(k).
-4*k*(k - 2)*(k - 1)*(k + 2)
Let b(l) be the third derivative of -1/108*l**4 + 4/27*l**3 + 0 - 33*l**2 - 1/540*l**5 + 0*l. Find o such that b(o) = 0.
-4, 2
Let k(b) be the second derivative of 3*b**5/20 - b**4/2 + b**3/2 - 31*b. Solve k(a) = 0.
0, 1
Let q(w) be the third derivative of w**5/45 - 43*w**4/108 + 7*w**3/27 - 448*w**2. Solve q(k) = 0.
1/6, 7
Let v = -20/19 - -317/247. Let f(n) be the first derivative of 8/39*n**3 + 8/65*n**5 + 1/39*n**6 + 0*n + 5 + 1/13*n**2 + v*n**4. Factor f(g).
2*g*(g + 1)**4/13
Let q(i) be the second derivative of i**7/560 + i**6/80 + 3*i**5/160 - i**4/16 - i**3/4 - 8*i**2 + 16*i. Let b(x) be the first derivative of q(x). Factor b(g).
3*(g - 1)*(g + 1)*(g + 2)**2/8
Suppose -2*f - 5*o + 60 = 0, -110 = -5*f + 2*o - 18. Suppose 12*l = f*l. Suppose l - 2/3*v + 2/3*v**3 + 0*v**2 = 0. Calculate v.
-1, 0, 1
Let k(f) be the third derivative of f**6/280 - f**4/14 - 2*f**2 - 79*f. Solve k(l) = 0.
-2, 0, 2
Suppose 50*r = 78*r - 140. Let k(i) be the second derivative of 0 + 14*i - i**4 + 2*i**3 + 1/5*i**r - 2*i**2. Solve k(q) = 0.
1
Let d be 20 - (30 - (-48)/(-4)). Factor -2/5*x + 4/5*x**d + 0 - 2/5*x**3.
-2*x*(x - 1)**2/5
Let s = -15 - -17. Suppose 8*h**2 - 5*h**s - h**2 - 1 - 1 = 0. What is h?
-1, 1
Let u = 1849/471 - -5237765/3297. Let q = u + -1590. Suppose 4/7*t + q*t**2 + 8/7*t**3 + 0 = 0. Calculate t.
-2, -1/4, 0
Let v = 15702 + -15700. Fac