o.
-3*(o + 4)**2/5
Let c(y) be the third derivative of -y**7/63 - y**6/20 - y**5/30 + y**4/36 - 189*y**2. Factor c(l).
-2*l*(l + 1)**2*(5*l - 1)/3
Factor 10*b + 0 + 13/2*b**3 + 1/2*b**4 + 16*b**2.
b*(b + 1)*(b + 2)*(b + 10)/2
Determine s, given that -3*s**4 - 9402*s**3 - 38*s**4 + 8742*s**2 + 163*s**4 - 3*s**5 - 9075 + 172*s**4 + 9405*s + 39*s**4 = 0.
-1, 1, 55
Let u be 2/(4/(-3)) - 135/(-30). Factor -12 - 5*f**2 + 6*f**2 + 22*f - 9*f**2 - 2*f**u.
-2*(f - 1)**2*(f + 6)
Let j(f) be the third derivative of -f**6/6 - 17*f**5/15 - 8*f**4/3 - 8*f**3/3 - 73*f**2. Let j(w) = 0. Calculate w.
-2, -1, -2/5
Suppose 5*m = -5*b - 6 - 4, 3*m + 6 = 5*b. Let u(l) be the second derivative of b + 4*l**3 + 7*l - 8*l**2 - l**4 + 1/10*l**5. Factor u(h).
2*(h - 2)**3
Let t(o) be the third derivative of -o**7/140 + o**6/64 + 7*o**5/160 - o**4/32 - 9*o**2 + o. Solve t(h) = 0.
-1, 0, 1/4, 2
Let i(f) = -15*f**4 - 6*f**3 + 2*f**2 + 21*f + 14. Let d(r) = -13*r**4 - 6*r**3 + 3*r**2 + 20*r + 12. Let u(w) = 7*d(w) - 6*i(w). Let u(b) = 0. What is b?
-7, -1, 0, 2
Let z be 7303/1417 + (-4)/26. Find u, given that -24*u**2 - 6 + 243/8*u**4 - 27/2*u**3 - 81/8*u**z + 24*u = 0.
-1, 2/3, 2
Let n(q) = -2*q - 20. Let l be n(-10). Suppose l = -3*s + 9, 0 = -3*v + 3*s + s - 6. Factor -2/9*x**v + 0 + 2/9*x**5 + 0*x + 2/3*x**3 - 2/3*x**4.
2*x**2*(x - 1)**3/9
Let b(h) be the second derivative of 5*h**4/4 + 155*h**3/18 + 10*h**2 + 84*h. Solve b(i) = 0 for i.
-3, -4/9
Factor -232/5*d - 14/5*d**3 - 24*d**2 - 96/5.
-2*(d + 2)*(d + 6)*(7*d + 4)/5
Let w(x) be the second derivative of -x**6/75 + 3*x**5/50 - x**4/10 + x**3/15 + 23*x + 2. Factor w(l).
-2*l*(l - 1)**3/5
Let b(l) be the third derivative of -l**6/140 - l**5/140 + l**4/7 - 5*l**3/14 - l**2 + 61*l. Solve b(f) = 0.
-5/2, 1
Let k(c) = c**3 - 52*c**2 - 109*c + 57. Let f be k(54). Determine y, given that -2/9*y**5 - 4/9*y**2 + 0*y + 2/9*y**f + 4/9*y**4 + 0 = 0.
-1, 0, 1, 2
Let m(a) be the first derivative of -3*a**3/4 + 3*a**2/4 - 112. Let m(d) = 0. What is d?
0, 2/3
Let p(k) = 11*k**3 + 50*k**2 + 52*k + 7. Let v(n) = -10*n**3 - 50*n**2 - 52*n - 8. Let x = -76 - -80. Let h(a) = x*p(a) + 6*v(a). Solve h(r) = 0 for r.
-5, -1, -1/4
Let g(a) be the second derivative of -a**6/120 + 3*a**5/80 + a**4/48 - a**3/8 - 36*a. Let g(m) = 0. Calculate m.
-1, 0, 1, 3
Let a(m) = -10*m**3 + 97*m**2 - 2109*m - 4605. Let h(l) = -3*l**3 + l**2 + l + 1. Let i(d) = 2*a(d) - 6*h(d). Find n such that i(n) = 0.
-2, 48
Let w(a) = 3*a**5 - 21*a**4 + 48*a**3 + 15*a**2 - 24*a - 3. Let k(i) = -i**4 + 4*i**3 + i**2 - i - 1. Let t(f) = 9*k(f) - w(f). Factor t(v).
-3*(v - 2)*(v - 1)**3*(v + 1)
Factor -66/17*o**2 + 0 + 64/17*o + 2/17*o**3.
2*o*(o - 32)*(o - 1)/17
Let 1/5*o**2 - o + 4/5 = 0. Calculate o.
1, 4
Let d be -6*1*(-2)/4. Factor 0*p**4 - 8*p**3 + 3*p**d + 5*p - 5*p**2 + 5*p**4 + 0*p**4.
5*p*(p - 1)**2*(p + 1)
Let y(p) = 15*p**4 - 10*p**3 - 15*p**2 + 25*p - 10. Let o(u) = -u**5 + 16*u**4 - 9*u**3 - 14*u**2 + 26*u - 12. Let h(q) = 5*o(q) - 6*y(q). Factor h(d).
-5*d*(d - 1)**2*(d + 2)**2
Let d be 89/(-300) - (858/(-60) + 14). Let r(h) be the third derivative of -d*h**5 - 1/30*h**3 - 4*h**2 + 0*h + 0 + 1/60*h**4. Determine z, given that r(z) = 0.
1
Suppose 0 = -2*j + 4. Solve 1 + 6 - j*l**2 - 7 = 0 for l.
0
Factor -7/2 - 1/12*z**2 - 13/12*z.
-(z + 6)*(z + 7)/12
Let i be (0 - (-4)/6)*6. Let x(c) be the first derivative of -2*c**3 + 3/4*c**i + 0*c + 3/2*c**2 - 3. Suppose x(p) = 0. What is p?
0, 1
Suppose 22*q - 504 = -41*q. Let k(g) be the first derivative of 8 + 32*g + 2/3*g**3 - q*g**2. Factor k(z).
2*(z - 4)**2
Let c(n) be the second derivative of -n**5/150 + 53*n**4/90 - 15*n**3 - 243*n**2/5 - 7*n + 2. Factor c(a).
-2*(a - 27)**2*(a + 1)/15
Let x(g) be the first derivative of -5*g**4/4 + 5*g**3/3 + 85*g**2/2 + 75*g - 171. Factor x(a).
-5*(a - 5)*(a + 1)*(a + 3)
Let y = 93 + -54. Solve -3*t + 73*t**3 - y*t**3 - 37*t**3 + 6*t**2 = 0 for t.
0, 1
Suppose -3*f - 4*o - 14 = -6, -f = 3*o + 11. Let q(t) be the third derivative of 0*t**3 + 1/10*t**f + 0 + 0*t - 19/150*t**5 - 7/300*t**6 + 11*t**2. Factor q(j).
-2*j*(j + 3)*(7*j - 2)/5
Let k(x) = 8*x**2 + 4 - 84*x + 71*x + 0 + 3 + x**3. Let n(g) = -4*g**3 - 40*g**2 + 64*g - 34. Let d(c) = 14*k(c) + 3*n(c). Factor d(t).
2*(t - 2)*(t - 1)**2
Let t(p) be the first derivative of -p**4/72 + 2*p**3/9 - 4*p**2/3 - p + 5. Let w(j) be the first derivative of t(j). Suppose w(f) = 0. Calculate f.
4
Let v(j) be the second derivative of 5/6*j**3 + 10*j + 1/12*j**4 - 1/2*j**2 - 1/4*j**5 + 0. Solve v(t) = 0 for t.
-1, 1/5, 1
Suppose 35*h - 102 - 108 = 0. Let t(w) be the second derivative of -1/30*w**h + 1/6*w**3 + 1/6*w**4 - 1/2*w**2 - 1/10*w**5 + 0 + 5*w + 1/42*w**7. Factor t(m).
(m - 1)**3*(m + 1)**2
Let k = 283 + -279. Let v(l) be the second derivative of -11/6*l**k + 3/5*l**6 + 0 - 3/10*l**5 + 2*l**2 - 2*l + l**3. Let v(r) = 0. Calculate r.
-1, -1/3, 2/3, 1
Let v(r) be the second derivative of r**5/20 + 4*r**4/3 + 13*r**3/6 - 15*r**2 + r. Factor v(u).
(u - 1)*(u + 2)*(u + 15)
Let s be 2075/996 + (-1 - 1). Let x(l) be the third derivative of -2/9*l**3 + 6*l**2 + 0 + s*l**4 + 0*l + 1/45*l**5. Factor x(a).
2*(a + 2)*(2*a - 1)/3
Let p(q) = -5*q**3 + 8*q**2 + 5*q - 3. Let w(l) = -4*l**3 + 7*l**2 + 4*l - 2. Let o(u) = 5*p(u) - 6*w(u). Let f be o(-3). Factor -3 + f*d**3 + 3.
3*d**3
Let z(b) be the second derivative of -b**6/360 - b**5/30 - b**4/6 + b**3/6 - 28*b. Let c(w) be the second derivative of z(w). Solve c(v) = 0.
-2
Factor 0 - 3*q**2 + 1/2*q**3 + 4*q.
q*(q - 4)*(q - 2)/2
Let q = 812/195 + -100/39. Solve -2/5*w**2 + q*w - 8/5 = 0.
2
Let q(m) = -3*m**2 - 711*m - 675. Let x(g) = -g**2 - 142*g - 135. Let w(k) = -2*q(k) + 11*x(k). Let w(a) = 0. What is a?
-27, -1
Let k(d) = 23*d - 504. Let z be k(22). Let j(r) be the third derivative of 0 - 1/60*r**4 - 4*r**z + 1/50*r**5 - 2/15*r**3 + 0*r. What is y in j(y) = 0?
-2/3, 1
Let l(i) = -38*i**3 + 14*i**2 + 142*i - 450. Let k(h) = -3*h**3 + h**2 + h. Let v(y) = 12*k(y) - l(y). Factor v(r).
2*(r - 5)**2*(r + 9)
Let a(d) be the first derivative of 3*d**4/16 + 7*d**3/4 + 9*d**2/2 - 209. Factor a(t).
3*t*(t + 3)*(t + 4)/4
Let k be 23/(-138) + (-3)/(-18). Factor 0 + 1/9*u**3 - 4/9*u + k*u**2.
u*(u - 2)*(u + 2)/9
Let m(w) be the third derivative of w**6/90 + 11*w**5/45 + w**4 - 327*w**2. Factor m(o).
4*o*(o + 2)*(o + 9)/3
Let a = -175 - -12601/72. Let i(w) be the third derivative of 0 - 1/90*w**5 - a*w**4 - 4*w**2 + 0*w**3 + 0*w - 1/360*w**6. Factor i(f).
-f*(f + 1)**2/3
Suppose y = 3*f - 91, 13 - 46 = -f - y. Let u = f + -28. Determine c so that 40*c**2 - u + 40*c**3 + 7 + 20*c + 0 - 2*c**5 + 6*c**5 + 20*c**4 = 0.
-1
Let k(g) = -4*g**3 - 7*g**2 - 4*g - 5. Let j be k(-3). Solve 18 + 50 + 2*l**2 + 5*l - 18 - 5*l**3 - j*l**2 = 0.
-10, -1, 1
Let b = 645 - 2577/4. Let 3/4*a - 15/4*a**2 + b + 9/4*a**3 = 0. Calculate a.
-1/3, 1
Let m = 10 - 6. Suppose 0*c = -m*c + 20. Determine y so that 7*y - 12 + c*y - 7*y**2 + 4*y**2 = 0.
2
Let i be (5/(-6))/((-7)/(504/80)). Let a(f) be the first derivative of -1/6*f**3 - f - i*f**2 + 8. Let a(l) = 0. Calculate l.
-2, -1
Solve -12/5*o**2 + 0 + 18/5*o + 2/5*o**3 = 0.
0, 3
Let l(j) be the first derivative of -4/3*j - 1/9*j**2 - 13 + 2/27*j**3. Determine z so that l(z) = 0.
-2, 3
Let n = -555/32 + 13253/480. Let f = 38/15 + n. Solve -2/5 + f*l**3 + 24/5*l**5 + 12/5*l**2 - 8/5*l + 14*l**4 = 0.
-1, -1/4, 1/3
Let h(a) be the third derivative of 0 + 4*a**2 + 0*a + 25/12*a**4 + 1/12*a**5 + 125/6*a**3. Solve h(v) = 0.
-5
Let f(h) = 4*h**3 + 2*h**2 - 2*h - 2. Let u(k) = -9*k**3 - 3*k**2 + 5*k + 5. Suppose 0 = 2*r + 2*r - 8. Let c(y) = r*u(y) + 5*f(y). Factor c(j).
2*j**2*(j + 2)
Let -g + 0*g + g**2 - 2*g + 7*g - 21 = 0. Calculate g.
-7, 3
What is x in 5*x**3 - 2388*x**5 + 4*x**2 - 24*x - 9*x**4 + 13*x**3 + 2389*x**5 = 0?
-1, 0, 2, 6
Let s = 9373 - 65610/7. Solve 0*q + s*q**2 + 0 = 0 for q.
0
Solve -11/5*h**3 - 52/5*h + 38/5*h**2 + 24/5 + 1/5*h**4 = 0.
1, 2, 6
Let y be (8 - (-63)/(-6))*2. Let g(p) = 7*p**2 + 0*p + 16 + 6*p + 2*p. Let l(q) = -8*q**2 - 7*q - 17. Let h(s) = y*g(s) - 4*l(s). Suppose h(t) = 0. What is t?
-2
Factor -23*x - 17*x - 50*x + 3*x**4 + 30*x + 15*x**3 - 12*x**2.
3*x*(x - 2)*(x + 2)*(x + 5)
Let b(x) be the second derivative of -x**5/300 + x**4/40 - 25*x**2/2 - 32