-24543 - -147259/6. Factor b*d**4 - 1/6 + 0*d**2 - 1/3*d + 1/3*d**3.
(d - 1)*(d + 1)**3/6
Let k(p) = -2*p + 9. Let i be k(7). Let r be ((-2)/i)/(3/30). Let 82/5*s**2 - 18*s**r - 2/5*s**3 - 48/5*s + 8/5 + 10*s**5 = 0. What is s?
-1, 2/5, 1
Let x = -30313 - -152277/5. Let w = -142 + x. Factor -2/5*u**2 + w*u + 0.
-2*u*(u - 1)/5
Solve 961/4*z**4 + 421/2*z**2 + 18 + 159*z - 2511/4*z**3 = 0.
-6/31, 1, 2
Let i = -4 - -5. Let r(h) = 100*h**2. Let x be r(i). Factor -100*q**2 - 3*q**3 + x*q**2 - 3*q**4.
-3*q**3*(q + 1)
Let c = -42 + 42. Let t(q) be the second derivative of c*q**3 + 0 + 1/8*q**2 - 4*q - 1/48*q**4. Factor t(l).
-(l - 1)*(l + 1)/4
Suppose -11*r - 15 = -4*x - 12*r, -2*x + 3*r - 3 = 0. Let q(y) be the first derivative of -1/3*y**x - 2/7*y + 8 - 9/14*y**2. Find o such that q(o) = 0.
-1, -2/7
Let b(o) = 2*o**3 + 48*o**2 + o - 2. Let f be b(-24). Let z be (-2)/28*(22 + f). Factor z*y**2 + 8/7 + 8/7*y.
2*(y + 2)**2/7
Let u(o) be the first derivative of 2*o**5/15 - 2*o**4/3 - 2*o**3/3 + 10*o**2/3 + 16*o/3 - 525. Factor u(h).
2*(h - 4)*(h - 2)*(h + 1)**2/3
Let w be 1/((-2)/2) - 7. Let f = -6 - w. Factor -3*r**3 - 2*r**2 - 5*r**f + r + 5*r + 4*r**2.
-3*r*(r - 1)*(r + 2)
Let y(g) = -g - 8. Let r be y(-10). Factor -8*z + 4 + 2*z - 4*z**2 + 7*z**r - z**2.
2*(z - 2)*(z - 1)
Factor -18*m - 34 - 1/2*m**2.
-(m + 2)*(m + 34)/2
Let k be (3 - -3)/3*2. Factor -3*p**3 + 3*p**k + 2*p**2 - 8*p**2 + 0*p**4.
3*p**2*(p - 2)*(p + 1)
Let n(j) be the first derivative of 2*j**5/65 + 33*j**4/26 + 42*j**3/13 + 31*j**2/13 + 424. Solve n(p) = 0.
-31, -1, 0
Let g(v) be the first derivative of 5/4*v**4 + 5*v**3 + 5*v + 20 + 15/2*v**2. Let g(m) = 0. Calculate m.
-1
Let f = -50 - -51. Let l be f/(2 + 2/4 - 0). Solve 2/5*v**5 - 8/5*v**2 - 8/5*v**4 + 12/5*v**3 + 0 + l*v = 0.
0, 1
Let z(o) be the third derivative of -o**7/1365 + o**6/12 - 231*o**5/65 + 2299*o**4/39 + 10648*o**3/39 - 16*o**2 + 11. Determine d so that z(d) = 0.
-1, 22
Let l(k) = k**2 + k + 2. Let s(q) = -3*q**2 - 62*q + 18. Let o(p) = -5*l(p) + 5*s(p). Factor o(u).
-5*(u + 16)*(4*u - 1)
Let w be ((-3)/(-9))/(3/(27/(-3))). Let d(y) = y**3 + 1. Let o(q) = -4*q**3 - q**2 + 2*q - 3. Let g(l) = w*o(l) - 3*d(l). Factor g(f).
f*(f - 1)*(f + 2)
Let d(v) = -111*v - 551. Let k be d(-5). Factor 0*o**2 + 3*o**3 - 3/2*o**k + 0 + 0*o.
-3*o**3*(o - 2)/2
Factor 8/7*n**4 + 440/7*n - 76/7*n**2 - 400/7 - 46/7*n**3 + 2/7*n**5.
2*(n - 2)**3*(n + 5)**2/7
Let r be 8/18 + 26709/(-5481) + 5. Solve -1/7*i**2 + 5/7 - r*i = 0.
-5, 1
Let h = -1/19 + 59/38. Let z(s) be the second derivative of h*s**3 + 0 + 3/4*s**4 + 3/2*s**2 + 3/20*s**5 - 2*s. Suppose z(j) = 0. What is j?
-1
Suppose 14 = -4*q - 3*v, -1 = -q - 5*v - 13. Let h be q + 6/27 + (-41)/(-18). Solve -i**3 - h*i**2 + i + 1/2 = 0 for i.
-1, -1/2, 1
Let s be (3 + 33/(-15))*20/84. Let o(b) be the first derivative of 0*b**2 - s*b**3 - 2 - 4/35*b**5 - 2/7*b**4 + 0*b. Determine p so that o(p) = 0.
-1, 0
Let t(j) = 23*j**2 - j + 1. Let q be t(-1). Let x = q + -25. Factor 35*z**2 + x*z + 5*z + 25*z**3 + 5*z.
5*z*(z + 1)*(5*z + 2)
Let h(g) be the third derivative of -g**9/40320 - g**8/4480 + g**6/120 + 7*g**5/10 + 35*g**2. Let j(t) be the third derivative of h(t). Factor j(y).
-3*(y - 1)*(y + 2)**2/2
Let b be (-74)/(-4) - (67 + -62). Let c(s) be the second derivative of -5*s + b*s**2 + 1/4*s**4 + 3*s**3 + 0. Solve c(r) = 0 for r.
-3
Suppose f + 4*f - 25 = 0. Factor 3*h**4 - 15*h**5 - 3*h**2 - 14*h**f + 3*h**3 + 26*h**5.
-3*h**2*(h - 1)**2*(h + 1)
Let i(v) = 2*v**3 + 20*v**2 + 36*v + 16. Let u(t) = 4*t**3 + 40*t**2 + 73*t + 32. Let j(k) = 10*i(k) - 4*u(k). Factor j(m).
4*(m + 1)**2*(m + 8)
Suppose 3*m + 2*k - 6 = 0, 181*m - 178*m - 6 = -k. Find b such that 0*b - 2/7*b**3 - 4/7*b**m + 4/7*b**4 + 0 + 2/7*b**5 = 0.
-2, -1, 0, 1
Let u = 48 - 39. Suppose 4*z - 1 - z**5 + z**4 + 11*z**2 - 5 + u*z**3 + 6 = 0. Calculate z.
-1, 0, 4
Suppose -w - n = -5, -4*n + 19 = w + 5. Factor 5*t - 16*t**w - t - 20*t**5 - 16*t**4 + 24*t**5 - 13*t**3 + 37*t**3.
4*t*(t - 1)**4
Let u be (-18)/(-28) - 35*37/9065. Find a, given that 1/2*a**2 - 1/2*a + 1/2*a**3 - u = 0.
-1, 1
Let m(l) = 11*l**4 + l**3 + 4*l**2 - 7*l - 7. Let y(f) = -5*f**4 - f**3 - 2*f**2 + 3*f + 3. Let p(n) = 3*m(n) + 7*y(n). Factor p(g).
-2*g**2*(g + 1)**2
Let s(w) = 9*w - 24. Let m be s(3). Solve 14*x**3 - 3*x**4 + 4*x**m - 21*x**3 = 0.
-1, 0
Let i(t) be the second derivative of t**5/50 + t**4/3 + 31*t**3/15 + 6*t**2 - 474*t. Factor i(x).
2*(x + 2)*(x + 3)*(x + 5)/5
Let b(n) be the second derivative of 7*n**5/4 + 65*n**4/6 - 215*n**3/6 + 25*n**2 + 111*n. Solve b(m) = 0.
-5, 2/7, 1
Suppose -10430*k = -10370*k. Suppose 0 - i**2 - 1/3*i**3 + k*i = 0. What is i?
-3, 0
Find r such that 14/11*r**2 + 2/11*r**3 + 32/11*r + 24/11 = 0.
-3, -2
Suppose 294 = 17*f + 4*f. Suppose -m - f*m = -30. Let -1/5*o**3 + 1/5 - 1/5*o**m + 1/5*o = 0. Calculate o.
-1, 1
Suppose 346 = 4*a + 310. Let s(c) be the second derivative of -1/5*c**3 + 2/5*c**2 + 0 + 1/30*c**4 - a*c. Solve s(b) = 0.
1, 2
Let o(d) = 8*d**3 + 3*d**2 - 8. Let a(y) = 6*y**3 + 4*y**2 - 8. Let f(v) = 6*a(v) - 4*o(v). Factor f(l).
4*(l - 1)*(l + 2)**2
Let i(m) = -m**3 + 12*m**2 + m - 1. Let g be i(12). Suppose 18*z = g*z + 21. Solve 18/7*s**2 + 2*s + 4/7 + 2/7*s**4 + 10/7*s**z = 0.
-2, -1
Let g be (-7)/(-140)*28 - (2 - 3). Let 0 - g*w + 0*w**2 + 3/5*w**3 = 0. Calculate w.
-2, 0, 2
Let v be (-6)/(-22)*2/3. Let w = 1840 + -1838. Factor 0*r + v*r**4 + 0 - 2/11*r**w + 0*r**3.
2*r**2*(r - 1)*(r + 1)/11
Let n = 467/12 - 116/3. Let m = 7 + -5. Suppose -n*f**3 + 5/4*f - 3/4 - 1/4*f**m = 0. What is f?
-3, 1
Let s(u) be the second derivative of 0 - 17*u - 8/5*u**5 + 0*u**2 + 4/3*u**4 + 0*u**3 + 2/5*u**6. Factor s(a).
4*a**2*(a - 2)*(3*a - 2)
Let k(t) = 10*t**3 + 40*t**2 - 5*t + 5. Let o be (-5 - -17)*(-2)/(-3). Let d(g) = 15*g**3 + 60*g**2 - 8*g + 8. Let y(n) = o*k(n) - 5*d(n). Factor y(a).
5*a**2*(a + 4)
Let i(k) = k**3 + 7*k**2 + 4. Let w be i(-7). Let f(q) be the second derivative of -4*q - 1/6*q**w + 0 - q**2 - 2/3*q**3. Find d such that f(d) = 0.
-1
Let n = -1981 - -3963/2. Solve 1/2*y - 1/8*y**2 - n = 0.
2
Let g = 37 + -31. Suppose g*u - 6 = 3*u. Find w, given that -18/7*w**3 - 4/7*w**u + 0 + 0*w - 2/7*w**4 + 24/7*w**5 = 0.
-2/3, -1/4, 0, 1
Let i(n) = -25*n**4 + 115*n**3 - 155*n**2 + 85*n - 20. Let m(s) = -37*s**4 + 173*s**3 - 233*s**2 + 127*s - 30. Let h(p) = 8*i(p) - 5*m(p). Factor h(t).
-5*(t - 1)**3*(3*t - 2)
Let u(l) = 0 - 3 - l**3 - 1 + 17*l - 16*l. Let h be u(-2). Determine g, given that -7/5*g**4 - 4/5*g + 0 + 16/5*g**h - g**3 = 0.
-2, 0, 2/7, 1
Let c = -1269 + 1274. Let l(j) be the first derivative of -1/9*j**4 - 8/3*j**3 + 8 + 18/5*j**c + 0*j - 35/27*j**6 - 8/9*j**2. Let l(y) = 0. What is y?
-2/5, -2/7, 0, 1, 2
Let f(k) be the third derivative of k**6/200 + 9*k**5/100 + 7*k**4/20 + 315*k**2. Solve f(i) = 0 for i.
-7, -2, 0
Suppose -5*n = 4*a - 1004, a = 3*a + n - 502. Let x = a - 1753/7. Factor 0 - x*i**2 + 0*i - 2/7*i**3.
-2*i**2*(i + 2)/7
Let d(x) be the second derivative of -3*x**5/10 + 5*x**4/4 + 2*x**3 - 9*x**2/2 + 25*x. Determine w, given that d(w) = 0.
-1, 1/2, 3
Determine s, given that -1/4*s**3 + 0*s + 0 - 1/4*s**2 = 0.
-1, 0
Suppose 21*o - 16*o = 10. Let u be (o - 44/20)*(3 + -4). Factor -1/5*m - u*m**2 + 2/5.
-(m - 1)*(m + 2)/5
Let m(q) = 2*q**2 + 5*q - 4. Let g(n) = -2*n**2 - 4*n + 4. Suppose 0 = 4*b + f + 3, 4*b - f + 8 = -5. Let k(a) = b*m(a) - 3*g(a). Solve k(v) = 0.
-2, 1
Factor 0*s - 2/5*s**3 + 0 + 1/5*s**2 + 1/5*s**4.
s**2*(s - 1)**2/5
Let l be (-10 + 10)/((2 + -1)*-1). What is m in -2/9*m**4 + l*m - 2/9 + 0*m**3 + 4/9*m**2 = 0?
-1, 1
Let y(z) = -5*z**4 - 46*z**3 - 3*z**2 + 66*z + 2. Let d(p) = 63*p**4 + 597*p**3 + 39*p**2 - 861*p - 27. Let x(o) = -2*d(o) - 27*y(o). Factor x(a).
3*a*(a - 1)*(a + 5)*(3*a + 4)
Suppose 5*l - 12 = 3. Factor -35*v**l - 45*v**2 + 1571*v - 35*v**2 - 1626*v - 10.
-5*(v + 1)**2*(7*v + 2)
Let n(b) = -b**4 + b**3 + b**2 - b - 1. Let r = -51 - -27. Let k(m) = -28*m**4 + 24*m**3 + 32*m**2 - 24*m - 28. Let i(o) = r*n(o) + k(o). Factor i(c).
-4*(c - 1)**2*(c + 1)**2
Let j(y) be the third derivative of -y**8/112 + 17*y**7/70 + 43*y**2. Let j(c) = 0. Calculate c.
0, 17
Let s be 153/45 - 4/10. Suppose 0*k = 3*b + 4*k - 43, 0 = s*b - k - 38. Factor 15*q - 2*q**3 - 5*q**2