 - o**6/50 + o**5/15 - o**4/15 + 166*o**2. Find r such that s(r) = 0.
-2, 0, 1
Let s(q) be the third derivative of -2/9*q**4 + 2/45*q**5 + 0*q - 1/360*q**6 + 0*q**3 - 21*q**2 + 0. Let s(g) = 0. Calculate g.
0, 4
Let x(p) be the first derivative of -8*p**2 + 44/9*p**3 + 6*p + 2/15*p**5 - 4/3*p**4 + 12. Factor x(a).
2*(a - 3)**2*(a - 1)**2/3
Let f(s) be the first derivative of 4*s**5/15 - 43*s**4/12 + 29*s**3/9 + 5*s**2/3 + 79. What is d in f(d) = 0?
-1/4, 0, 1, 10
Let h(w) = -2*w**5 - 6*w**4 + 4*w**3 + 21*w**2 + 16*w. Let c(q) = 2*q**5 + 6*q**4 - 4*q**3 - 22*q**2 - 16*q. Let o(u) = 3*c(u) + 2*h(u). Factor o(f).
2*f*(f - 2)*(f + 1)*(f + 2)**2
Let o(p) be the second derivative of 1/20*p**4 + 24*p - 1/2*p**3 + 9/5*p**2 + 0. Factor o(n).
3*(n - 3)*(n - 2)/5
Let v(r) be the third derivative of -7*r**5/30 - 95*r**4/3 - 36*r**3 - r**2 - 403*r. Factor v(z).
-2*(z + 54)*(7*z + 2)
Let i be -2 + (-57)/(-6) + 3. Find f, given that -i*f + 6 + 3/2*f**3 + 3*f**2 = 0.
-4, 1
Let c(z) = -z. Let r(t) be the third derivative of -1/60*t**5 + 0*t - 1/3*t**3 + 0 - 7*t**2 + 1/6*t**4. Let w(p) = 2*c(p) + 2*r(p). What is y in w(y) = 0?
1, 2
Let r be (-7)/(-21) + (-3)/(-45). Factor -r - 3/5*g - 1/5*g**2.
-(g + 1)*(g + 2)/5
Let q(h) be the first derivative of -h**4/3 + 6*h**3/7 - 4*h**2/7 + 10*h + 12. Let z(c) be the first derivative of q(c). Factor z(y).
-4*(y - 1)*(7*y - 2)/7
Solve 11*p**3 + 17*p**2 - 16*p - 4*p**3 + p**3 - 9*p**3 = 0.
0, 1, 16
Let b = -149 - -153. Let v(x) be the third derivative of 0*x**3 + 0*x**b + 0 + 1/360*x**5 + 3*x**2 + 0*x. Factor v(p).
p**2/6
Suppose -1069*g + 1 - 1 = -1056*g. Factor g*s - 2/9*s**3 - 2/9*s**4 + 0*s**2 + 0.
-2*s**3*(s + 1)/9
Factor -123 - 91 - 24*n**2 + 3*n**3 + 160 + 63*n.
3*(n - 3)**2*(n - 2)
Let k(w) be the second derivative of -61731*w**5/20 + 1083*w**4/2 - 38*w**3 + 4*w**2/3 - 253*w. Factor k(c).
-(57*c - 2)**3/3
Let n(c) be the first derivative of 3/4*c**2 - 3/2*c**3 + 3*c + 3/10*c**5 - 5 - 3/8*c**4. Factor n(a).
3*(a - 2)*(a - 1)*(a + 1)**2/2
Let c(j) = -j - 6. Suppose -3*b - m = 26 + 5, 5*b - 4*m = -29. Let u be c(b). Find w such that -2*w**3 + 4*w**4 + u*w**3 - 10*w**4 + 2*w**4 = 0.
0, 1/4
Determine c so that 2/15*c**3 + 392/5*c + 28/5*c**2 + 5488/15 = 0.
-14
Let -7/10*h + 1/5*h**2 + 1/10*h**3 + 2/5 = 0. What is h?
-4, 1
Let q(x) be the first derivative of -x**4/10 + 2*x**3/3 - 2*x**2/5 - 16*x/5 - 235. Factor q(s).
-2*(s - 4)*(s - 2)*(s + 1)/5
Find o such that 50 - 8 - 260*o - 60*o + 199*o**2 + 58 + 57*o**2 = 0.
5/8
Let j(d) = d + 1. Let y be j(2). Factor 3 + 5*r + 2*r**2 + 3*r**2 - y.
5*r*(r + 1)
Let u(v) be the first derivative of -2*v**5/65 + 6*v**4/13 - 32*v**3/13 + 64*v**2/13 - 51. Factor u(f).
-2*f*(f - 4)**3/13
Let u(a) = a**2 + 45*a + 235. Let f be u(-39). Let r(l) be the first derivative of 0*l + f - 4*l**2 - 4/3*l**3. Factor r(d).
-4*d*(d + 2)
Let u = 52 + -31. Let n be u/33*-1*(-18)/21. Determine w, given that -2/11*w**2 - 8/11*w - n = 0.
-3, -1
Let o be 3/(12/(-32)) + 7*24/20. Solve -4/5*z + 6/5 - o*z**2 = 0 for z.
-3, 1
Determine p so that 4*p**2 - 63*p + 42 + 10*p + 36*p - 152*p = 0.
1/4, 42
Let h(j) be the first derivative of 4*j**3/21 - 22*j**2/7 - 48*j/7 + 104. Let h(q) = 0. What is q?
-1, 12
Suppose 0 = 19*a - 3*a + 176. Let p(b) = 2*b + 24. Let f be p(a). Factor -1/8*q + 1/4 + 1/8*q**3 - 1/4*q**f.
(q - 2)*(q - 1)*(q + 1)/8
Factor -5 - 24/5*f + 1/5*f**2.
(f - 25)*(f + 1)/5
Let p(h) = h**3 + 29*h**2 + 30*h + 56. Let f be p(-28). Suppose 0*c + c + r - 5 = 0, -4*c + 5*r - 7 = f. Factor 2*s + 5/2*s**3 + 13/2*s**2 - c.
(s + 1)*(s + 2)*(5*s - 2)/2
Let o(m) be the third derivative of m**5/690 - 19*m**4/276 + 6*m**3/23 - m**2 + 14*m. Solve o(d) = 0 for d.
1, 18
Factor 10 - 35/2*i**3 + 75/2*i**2 + 5/2*i**4 - 65/2*i.
5*(i - 4)*(i - 1)**3/2
Suppose -5*i - 9 = -69. Solve -2*a**3 - i*a - 10*a**2 - a**2 - a**2 - 2*a**2 = 0 for a.
-6, -1, 0
Let j(w) = 27*w**4 + 42*w**3 - 11*w**2 - 42*w - 14. Let i(y) = y**4 + y**3 - y**2 - y + 1. Let a(q) = 2*i(q) - j(q). Factor a(v).
-(v - 1)*(v + 1)*(5*v + 4)**2
Let w(f) = 14*f**4 + 30*f**3 + 8*f**2 - 8. Let j(q) = -q**4 - 2*q**3 - q**2 - q + 1. Let a(r) = 8*j(r) + w(r). Determine v so that a(v) = 0.
-2, -1, 0, 2/3
Suppose -24 - 16 = -10*a. Solve 0*n - 10 + 3*n**2 + a - 5*n + 2*n = 0.
-1, 2
Factor 30/7*c**4 + 99/7*c**3 + 120/7*c**2 + 3/7*c**5 + 0 + 48/7*c.
3*c*(c + 1)**2*(c + 4)**2/7
Let w(l) be the third derivative of 133*l**6/200 + 157*l**5/100 + l**4/2 - 2*l**3/5 + 449*l**2. Suppose w(c) = 0. What is c?
-1, -2/7, 2/19
Let x(h) be the first derivative of 11 + 1/10*h**4 - 1/30*h**6 + 0*h**5 + 0*h**3 + 0*h - 1/10*h**2. Factor x(f).
-f*(f - 1)**2*(f + 1)**2/5
Let f be 1/10*14 - (-5)/(-25). Let x = f + 22/15. Let -2/9*g**3 - 128/9 - 32/3*g - x*g**2 = 0. What is g?
-4
Let p(l) be the first derivative of -l**7/1680 - l**6/120 - l**5/20 - l**4/6 - l**3/3 + 16*l**2 - 18. Let j(f) be the second derivative of p(f). Factor j(r).
-(r + 2)**4/8
Let x(c) be the second derivative of -c**8/40320 + c**6/1440 - c**5/360 + 19*c**4/12 + 16*c. Let b(j) be the third derivative of x(j). Factor b(u).
-(u - 1)**2*(u + 2)/6
Solve 2/3*x**2 - 2/3*x + 0 = 0.
0, 1
Let h(u) be the third derivative of u**7/1470 + 6*u**6/35 + 2519*u**5/210 - 438*u**4/7 + 5329*u**3/42 - 2*u**2 - 238*u. Suppose h(t) = 0. Calculate t.
-73, 1
Let n(z) be the third derivative of z**7/420 - z**6/240 - z**5/12 - z**4/6 + 428*z**2. Factor n(f).
f*(f - 4)*(f + 1)*(f + 2)/2
Let t = -2333 - -2335. Let r(h) be the first derivative of 2/5*h**5 + 0*h - 2/3*h**3 - 2*h**t + 13 + h**4. Factor r(i).
2*i*(i - 1)*(i + 1)*(i + 2)
Factor -4*h - 42 + 6 - 3*h**2 - 13*h - 4*h.
-3*(h + 3)*(h + 4)
Let x(n) be the first derivative of -7 + 1/10*n**2 + 0*n**3 - 1/10*n**4 + 0*n + 0*n**5 + 1/30*n**6. What is w in x(w) = 0?
-1, 0, 1
Let w(p) = 2*p**2 + 69*p + 102. Let h be w(-33). Factor -64/5*f + 0 + 16/5*f**2 - 1/5*f**h.
-f*(f - 8)**2/5
Suppose 11*h - 12*h - 27 = 5*t, -4*t = 24. Solve -6 + 21/4*z**5 + 15*z + 51/2*z**2 - 51/4*z**h - 12*z**4 = 0 for z.
-1, 2/7, 2
Factor 4 - 3/2*u - 1/4*u**2.
-(u - 2)*(u + 8)/4
Suppose 3*c - 2*x = -0*c + 14, 0 = 3*x + 3. Suppose 14*o - c = 12*o. Factor 2*k**3 + 1 + 0 + 4*k**4 - k - 3*k**4 + 2*k**o - k**5 - 4*k**2.
-(k - 1)**3*(k + 1)**2
Let b be 1 + -3 + 4 - 13*-2. Let j = b - 26. Factor -8/13*x + 6/13 + 2/13*x**j.
2*(x - 3)*(x - 1)/13
Let 24*r**2 - 93/8*r**3 + 0 - 15/2*r**5 - 9/2*r - 381/8*r**4 = 0. What is r?
-6, -1, 0, 1/4, 2/5
Suppose 4*n - 28 = -88. Let j(z) = -6*z**4 - z**3 + 8*z**2 + 7*z - 5. Let o(k) = -k**4 - k - 1. Let t(w) = n*o(w) + 3*j(w). Factor t(c).
-3*c*(c - 3)*(c + 2)**2
Factor 49298/3 + 2/3*k**2 + 628/3*k.
2*(k + 157)**2/3
Let o(m) be the third derivative of m**5/30 + m**4/6 + 289*m**2. Factor o(l).
2*l*(l + 2)
Factor 38 + 3*m**2 + 13*m - 5*m**3 - 16 - 15 + 2*m**2 + 4*m**3.
-(m - 7)*(m + 1)**2
Suppose -2*k + 14 = g, 5*g + 1 = 5*k - 19. Let b be (k + -6)/(1/(-2)*4). Suppose 2/9*l**3 + 0 - 2/9*l**4 + b*l - 2/9*l**5 + 2/9*l**2 = 0. Calculate l.
-1, 0, 1
Suppose -6*u = -83 + 23. Suppose 1724 - u*m - 1724 - 2*m**2 = 0. Calculate m.
-5, 0
Let w be (-1336)/(-80) - 3/15. Suppose -3*h + w*h**2 - 39/2*h**3 - 33/2*h**4 + 0 + 45/2*h**5 = 0. What is h?
-1, 0, 1/3, 2/5, 1
Let q(p) = -4*p**2 - 16*p + 34. Let v(a) = -a**2 - 3. Let r(b) = -q(b) + 2*v(b). Factor r(s).
2*(s - 2)*(s + 10)
Suppose 0 = l + 5*j - 12, 2*j + 54 = -5*l - 1. Let y be (l + 12)*(-2)/16*2. Factor 1/4*t**4 + 3/4*t**2 + y*t + 3/4*t**3 + 0.
t*(t + 1)**3/4
Let a(b) be the second derivative of 7/6*b**6 - 7*b + 0*b**3 + 0 + 0*b**2 - 2*b**5 + 25/42*b**7 - 5/3*b**4. What is s in a(s) = 0?
-2, -2/5, 0, 1
Let b(l) be the third derivative of -l**9/1512 + l**8/1680 + 7*l**3/6 - 13*l**2. Let c(d) be the first derivative of b(d). Let c(f) = 0. What is f?
0, 1/2
Let c(f) be the third derivative of -f**7/10080 - 2*f**4/3 + 13*f**2. Let z(a) be the second derivative of c(a). Solve z(v) = 0 for v.
0
Let o(x) be the second derivative of -x**8/17920 - x**7/6720 + x**6/960 + x**4/6 - 23*x. Let j(y) be the third derivative of o(y). Find z, given that j(z) = 0.
-2, 0, 1
Let f(n) = 21*n**3 + 251*n**2 + 175*n - 49. Let s(q) = -41*q**3 - 501*q**2 - 351*q + 99. Let c(m) = 10*f(m) + 6*s(m). Factor c(r).
-4*(r + 1)*(r + 13)*(9*r - 2)
Let a be ((-36)/(-224))/((-150)/(-35)). Let g(