ctor o(d).
2*d**3*(d - 2)*(d - 1)
Suppose 0 = -5*a - 5*m - 5, 23 = 5*a - 2*m - 0*m. Let p(r) be the first derivative of 2/11*r - 2 + 2/33*r**a - 2/11*r**2. Factor p(x).
2*(x - 1)**2/11
Let o = -122 + 146. Suppose -4*m + o = 8. Solve -1/2*j**5 + 2*j**3 + 3/2*j**m - 8*j**2 + 8 + 0*j = 0.
-2, -1, 2
Let o(b) = 2*b**5 - b**4 - b**3 - b**2 - b - 1. Let j(i) = 36*i**5 - 116*i**4 - 884*i**3 - 3476*i**2 - 5204*i - 20. Let a(l) = j(l) - 20*o(l). Factor a(t).
-4*t*(t + 6)**4
Suppose -11 = -p + 15. Suppose -4*o - 10 = -2*b, -5*o + 4*b = -6 + p. Suppose -1/2*x + o - 1/2*x**2 = 0. What is x?
-1, 0
Let r(a) be the third derivative of -1/2*a**5 - 2*a**3 + 1/105*a**7 + 0 - 16*a**2 + 0*a + 1/20*a**6 + 17/12*a**4. Factor r(z).
2*(z - 1)**3*(z + 6)
What is s in 0 + 3/2*s**4 - 18*s**2 + 33/2*s**3 + 0*s = 0?
-12, 0, 1
Let r(o) = o + 21. Let c be r(-18). Let z(t) be the second derivative of -2/5*t**2 + t - 1/15*t**c + 0 + 1/30*t**4. Determine k so that z(k) = 0.
-1, 2
Let q(i) be the third derivative of i**5/140 - 9*i**4/7 + 10*i**3 - 746*i**2. Find u such that q(u) = 0.
2, 70
Factor -6*q**2 + 10/7*q + 8/7*q**3 + 0.
2*q*(q - 5)*(4*q - 1)/7
Let z be 117/91 - (-9)/42. Let -39/4*t - z*t**3 - 3 - 33/4*t**2 = 0. Calculate t.
-4, -1, -1/2
Let c(d) be the first derivative of d**5/15 - 25*d**4/12 - 26*d**3/9 + 190. Factor c(j).
j**2*(j - 26)*(j + 1)/3
Let k = -227 - -229. Let q(n) be the first derivative of -2/3*n**3 + 2*n**k + 1 + 0*n. Determine t so that q(t) = 0.
0, 2
Let w be 2/(-5)*270/(-324). Factor 1 - 2/3*t - w*t**2.
-(t - 1)*(t + 3)/3
Let v(o) = 9*o**2 + 402*o - 105. Let l(m) = -m**2 - m - 1. Let b(h) = 3*l(h) - v(h). Let b(f) = 0. Calculate f.
-34, 1/4
Let q(w) be the first derivative of -2*w**3/3 - 5*w**2 - 8*w + 101. Suppose q(r) = 0. What is r?
-4, -1
Let z(m) = -m**3 - 2*m**2 - 2*m + 1. Let b be z(-2). Suppose w - b = 4. What is o in 2*o + w*o**2 - 10*o**2 + 0*o = 0?
0, 2
Solve 0 - 2/11*u**3 + 148/11*u**2 - 2738/11*u = 0 for u.
0, 37
Let h be 8/6 + 1 + (40 - 41). Factor -2/3*u - 1/3 - h*u**3 + 7/3*u**2.
-(u - 1)**2*(4*u + 1)/3
Let q be (21/(-18) - -1) + (-22)/(-33). Let v(j) be the first derivative of 0*j - 1/3*j**3 + q*j**2 + 4 - 1/2*j**4. Determine r, given that v(r) = 0.
-1, 0, 1/2
Let y(i) = 8*i - 96. Suppose 48 = 14*q - 10*q. Let g be y(q). Find t such that 3/5 - 6/5*t**2 + g*t**3 + 0*t + 3/5*t**4 = 0.
-1, 1
Let x be 17 - (0 + -5 - -1). Factor -65*l**3 - 1 - 33*l**4 - x - 168*l - 219*l**2 - 26 - 64*l**3 - 3*l**5.
-3*(l + 1)**3*(l + 4)**2
Let j(m) be the first derivative of -m**3/12 + 7*m**2 - 55*m/4 + 696. Factor j(q).
-(q - 55)*(q - 1)/4
Let y(m) = m**2 - m - 9. Let n be y(-6). Factor -n*a**2 - 3*a + 14*a**2 + 20*a**2 + 2.
(a - 2)*(a - 1)
Let d = 623 - 621. Let o(p) be the third derivative of -d*p**2 - 4/35*p**7 - 21/10*p**5 + 0*p + 0 + 19/8*p**4 + 9/10*p**6 - 3/2*p**3. Factor o(h).
-3*(h - 3)*(2*h - 1)**3
Let t(a) = -3*a**2 + a + 3. Let z(y) = 2*y**2 - 2*y - 3. Let m(o) = 3*t(o) + 4*z(o). Let w(x) = 4*x**2 + 24*x + 14. Let h(j) = -28*m(j) - 6*w(j). Factor h(r).
4*r*(r - 1)
Let t be (-173)/346*8/(-22). Find m such that 6/11*m - 8/11 + t*m**2 = 0.
-4, 1
Let i = 3 + 78. Find m such that -3*m**3 + 81 + 4*m**3 - 2*m**3 - 2*m**3 + 27*m**2 - i*m = 0.
3
Let c(x) be the first derivative of 2*x**2 + 2*x - 21. Let j(s) = -s**2 + 4*s + 2. Let t(q) = -3*c(q) + 2*j(q). What is l in t(l) = 0?
-1
Let i(o) be the first derivative of o**7/4620 + o**6/1980 - o**5/330 + 7*o**3 + 9. Let y(g) be the third derivative of i(g). Factor y(z).
2*z*(z - 1)*(z + 2)/11
Let v(q) be the second derivative of 0 - 22*q + 25/294*q**7 + 6/35*q**5 + 0*q**3 + 0*q**2 + 1/21*q**4 + 3/14*q**6. Suppose v(h) = 0. Calculate h.
-1, -2/5, 0
Let p = -500/9 - -2698/45. Let n be 596/120 + (-1)/6. Let -12*d**4 + 0 - 8/5*d + p*d**3 - 10*d**5 + n*d**2 = 0. Calculate d.
-1, 0, 2/5
Let m(h) be the second derivative of -3*h**5/80 - 7*h**4/8 - 3*h**3 + h + 13. Find a such that m(a) = 0.
-12, -2, 0
Let k = -39 + 14. Let n = 27 + k. Find g, given that 0 + 0*g - g**n + 1/2*g**4 + 1/2*g**3 = 0.
-2, 0, 1
Let r(n) be the first derivative of -n**4/8 + 2*n**3 - 12*n**2 + 32*n - 316. Factor r(k).
-(k - 4)**3/2
Find y, given that -1 - 3*y + 20 - 10*y - 7 + 28 + y**2 = 0.
5, 8
Let f(j) be the first derivative of 2/5*j**2 - 2/5*j - 2/15*j**3 - 14. Factor f(d).
-2*(d - 1)**2/5
Factor -2*a**4 - 21/2*a - 46/3*a**2 - 29/3*a**3 + 1/6*a**5 - 8/3.
(a - 16)*(a + 1)**4/6
Let o(j) be the third derivative of j**8/336 - j**7/56 - 5*j**3/3 - 15*j**2. Let i(y) be the first derivative of o(y). What is x in i(x) = 0?
0, 3
Let h(t) be the third derivative of t**5/270 - 524*t**2. Solve h(x) = 0.
0
Determine j, given that -549*j - 4*j**2 + 11292 - 259*j - 1756 - 20720 - 29620 = 0.
-101
Suppose 94*v = 87*v + 28. Let g(u) be the third derivative of 0 - 3/4*u**3 - 1/120*u**5 - 1/8*u**v + 3*u**2 + 0*u. Factor g(p).
-(p + 3)**2/2
Suppose 21/5 - 3/5*v**5 + 42/5*v**3 - 3*v**4 - 39/5*v - 6/5*v**2 = 0. What is v?
-7, -1, 1
Factor 1/2*s**2 - 15/2 + s.
(s - 3)*(s + 5)/2
Let l(n) = -n**3 + n**2 + 1. Let s(i) = i**3 + i**2 - 6. Suppose 4*q - 4*g + 20 = 0, 0 = -3*q - 5*g + 5 - 4. Let j(a) = q*s(a) - 6*l(a). Solve j(r) = 0 for r.
-1, 2
Let a = 633 - 629. Let b(s) be the second derivative of 0 - 4/11*s**2 + 7/110*s**5 - 23/66*s**a + 20/33*s**3 + 3*s. Factor b(z).
2*(z - 2)*(z - 1)*(7*z - 2)/11
Let z(q) be the second derivative of -q**8/13440 + q**7/840 - q**6/120 + q**5/30 + 7*q**4/6 + 14*q. Let v(o) be the third derivative of z(o). Factor v(j).
-(j - 2)**3/2
Suppose 2*y = 3*c - 49, 3*c + 2*y = -y + 24. Let a = 16 - c. Factor 2*k**2 - 6*k**3 - k**4 + a - 2*k**2 + 6*k - 2*k**4.
-3*(k - 1)*(k + 1)**3
Let u(z) be the third derivative of 3*z**5/10 - 43*z**4/12 - 10*z**3/3 - 120*z**2. Solve u(n) = 0.
-2/9, 5
Let o(k) = -k**3 - 3*k**2 + 4*k. Let d(w) = w**2 - 5*w - 4. Let q be d(5). Let p be o(q). Factor t**2 - 4 + p + 3 + 0.
(t - 1)*(t + 1)
Let d be ((-3)/4)/((-3)/16). Let f(l) be the third derivative of -1/210*l**7 + 1/3*l**3 + 0 - 5/24*l**4 - d*l**2 + 0*l + 1/120*l**6 + 1/20*l**5. Factor f(i).
-(i - 1)**3*(i + 2)
Determine b, given that 0 - 27*b**2 - 4/5*b**3 + 34/5*b = 0.
-34, 0, 1/4
Let p(g) = 4*g**3 - g**2 - 2*g - 1. Let n be p(-1). Let z be 0 + 16/((-16)/n). Let 5*m**3 - m**3 + 13 + z*m**4 - 13 = 0. Calculate m.
-1, 0
Suppose b - 4*r - 6913 = -2*b, 3*b - 6917 = 5*r. Find s such that 8*s**4 + 10*s**5 + 2*s + 2291*s**2 - 16*s**3 - b*s**2 + 4*s**3 = 0.
-1, 0, 1/5, 1
Let v = -685 - -4111/6. Let j(s) be the second derivative of -4/3*s**2 + 11*s + v*s**4 + 0 + 0*s**3 - 1/30*s**5. Factor j(h).
-2*(h - 2)**2*(h + 1)/3
Suppose -n = 3*r - 6, 5*r = 2*n + r - 52. Let k be (-108)/n*(-2)/4. Factor 0 + 49/4*d**k + d + 7*d**2.
d*(7*d + 2)**2/4
Let n(a) = -a**4 + a**3 - 2*a**2 + 2. Let x(h) = -5*h**5 + 15*h**4 + 15*h**3 + 70*h**2 + 15*h - 30. Let q(p) = -15*n(p) - x(p). Factor q(z).
5*z*(z - 3)*(z + 1)**3
Let g(o) be the first derivative of -3 + 2/15*o**5 + 14/9*o**3 + 0*o + 5/6*o**4 + o**2. Solve g(h) = 0 for h.
-3, -1, 0
Let b(w) be the first derivative of -25*w**6/2 - 48*w**5 - 141*w**4/2 - 48*w**3 - 27*w**2/2 - 14. Solve b(r) = 0 for r.
-1, -3/5, 0
Suppose -26*m + 30*m + 8 = 0, 2*u + 5*m = -10. Determine q so that 3/7*q**4 - 3/7*q + 3/7*q**3 - 3/7*q**2 + u = 0.
-1, 0, 1
Suppose 0 = -6*m - 3 + 15. Let 8 + 2 - 45*o**3 - 25*o - 15*o**2 - 84*o**2 + 19*o**m = 0. What is o?
-1, 2/9
Suppose -s - 339 = -7*s - 327. Factor 3/4*c**3 + 0 + 1/4*c**4 + 3/4*c**s + 1/4*c.
c*(c + 1)**3/4
Let z(x) be the third derivative of 3*x**7/35 + 49*x**6/40 - 26*x**5/5 + 59*x**4/8 - 5*x**3 + 2*x**2 + 20. Solve z(g) = 0 for g.
-10, 1/3, 1/2, 1
Let g(u) be the second derivative of u**4/36 - 16*u**3/9 - 11*u**2/2 - 124*u. Factor g(i).
(i - 33)*(i + 1)/3
Suppose -7818*j - j**3 + 113398 + 146*j**2 + 25*j**2 - 1929*j + 71795 = 0. Calculate j.
57
Let c = 12108/5 + -2416. Determine f so that -c*f**2 + 16/5 + 48/5*f = 0.
-2/7, 2
Let d be 12/8 - 48/(-32). Let a(b) be the first derivative of -5 + 2/3*b**d + 4*b - 3*b**2. Factor a(i).
2*(i - 2)*(i - 1)
Let x(r) be the second derivative of r**4/3 - 34*r**3/3 + 104*r**2 + 810*r. What is a in x(a) = 0?
4, 13
Factor 75/4*j**3 + 0 - 20*j**2 + 0*j + 5/4*j**4.
5*j**2*(j - 1)*(j + 16)/4
Let r = 233/609 + -10/203. Factor 4/3*l - r*l**2 - 1.
-(l - 3)*(l - 1)/3
Le