*2 + 138*o. Factor q(l).
-2*(l - 1)*(l + 1)*(13*l + 2)
Let f be 4/35*(-1725)/(-230). Let f*j**3 + 0 - 10/7*j**4 + 4/7*j**2 + 0*j = 0. Calculate j.
-2/5, 0, 1
Let i(c) be the first derivative of c**6/6 - 43*c**5/20 + 133*c**4/16 - 7*c**3/3 - 34*c**2 - 16*c + 64. Factor i(n).
(n - 4)**3*(n + 1)*(4*n + 1)/4
Let 13/4*o**2 + 3 - 13/4*o**3 + 13*o - o**4 = 0. Calculate o.
-3, -2, -1/4, 2
Let c(d) be the third derivative of -d**6/600 + d**5/60 + 17*d**4/120 - 7*d**3/10 + 334*d**2. Factor c(s).
-(s - 7)*(s - 1)*(s + 3)/5
Let a(d) be the third derivative of -d**7/126 - d**6/6 - d**5 - 2*d**2 - 5*d. Factor a(b).
-5*b**2*(b + 6)**2/3
Let r(u) be the first derivative of -2/21*u**3 - 23 + 2/7*u**2 + 0*u - 3/14*u**4. Factor r(z).
-2*z*(z + 1)*(3*z - 2)/7
Let u = -226 - -304. Let m be 82/26 + (-6 - (-456)/u). Factor -32/5*c**2 + 96/5*c + 12/5*c**4 - 64/5 - 16/5*c**m - 2/5*c**5.
-2*(c - 2)**4*(c + 2)/5
Suppose -5*h - 2*u = -23, -6 = -2*h + u - 5*u. Suppose -4*k + r = -h*k + 7, -k + 4*r = 13. What is a in a**k + 0 - a + 1/2*a**2 - 1/2*a**4 = 0?
-1, 0, 1, 2
Let k(c) be the second derivative of -c**5/25 + 7*c**4/5 + 128*c + 2. Factor k(v).
-4*v**2*(v - 21)/5
Let q be 4 - -1 - 1049/210. Let o(r) be the third derivative of 0*r + 2/21*r**3 - 4*r**2 + 1/28*r**4 + 0 + q*r**5. Factor o(c).
2*(c + 1)*(c + 2)/7
Let w(p) = -4*p**4 + 24*p**3 - 116*p**2 - 8*p - 16. Let r(s) = -s**4 - s**2 - s - 2. Let g(k) = -8*r(k) + w(k). Factor g(n).
4*n**2*(n - 3)*(n + 9)
Determine h, given that -24/7*h - 3/7*h**4 + 12/7 + 9/7*h**2 + 6/7*h**3 = 0.
-2, 1, 2
Let m be -22 + 20 - (-7 + 1). Let a(y) be the second derivative of -m*y + 0 - 1/60*y**6 + 1/24*y**4 - 1/20*y**5 + 0*y**2 + 1/6*y**3. What is j in a(j) = 0?
-2, -1, 0, 1
Let c(o) = -3*o**2 - 18*o - 18. Let s(h) = -3*h**2 - 17*h - 18. Let i(w) = -4*c(w) + 3*s(w). Find x, given that i(x) = 0.
-6, -1
Let j be ((-2)/(-3))/((-532)/147 + 4) + -1. Determine f so that -j*f**2 + 3*f - 3 = 0.
2
Let u(z) = -17*z**2 - 35*z - 11. Let h(v) = -84*v**2 - 174*v - 54. Suppose 0 = -4*r - 2*r + 84. Let c(j) = r*u(j) - 3*h(j). Determine q, given that c(q) = 0.
-2, -2/7
Suppose 0*q = 21*q - 84. Solve -423*k**q + 0 + 421*k**4 + 0 - k**5 = 0.
-2, 0
Let l be 15/12 - 276/240. Let m(i) be the second derivative of 1/6*i**4 + 0 + 7*i + 1/3*i**3 - i**2 - l*i**5. Factor m(b).
-2*(b - 1)**2*(b + 1)
Factor 4/3*x**2 + 0 - 140/3*x.
4*x*(x - 35)/3
Suppose 6 = -2*g, -229*x + g + 11 = -225*x. Factor 50/13 + 2/13*b**x + 20/13*b.
2*(b + 5)**2/13
Let n(i) be the second derivative of 1/2*i**2 + 0 + 1/24*i**4 + 8*i - 1/4*i**3. Solve n(k) = 0 for k.
1, 2
Let n(w) be the first derivative of -4*w**3/9 + 46*w**2/3 - 120*w - 376. Determine g, given that n(g) = 0.
5, 18
Let y(m) be the third derivative of -m**5/20 + m**4/8 + m**3/3 - 6*m**2. Let o(b) = 48*b**2 - 48*b - 33. Let p(r) = -2*o(r) - 33*y(r). Factor p(i).
3*i*(i - 1)
Let a(z) be the first derivative of z**4/10 - 78*z**3/5 + 231*z**2/5 - 46*z + 118. Factor a(n).
2*(n - 115)*(n - 1)**2/5
Let d(y) be the second derivative of y**5/18 + 47*y**4/54 + 5*y**3/9 - 3*y**2 + 254*y. Let d(j) = 0. Calculate j.
-9, -1, 3/5
Let c(t) be the first derivative of -4/9*t**3 + 0*t + 1/3*t**4 + 4/15*t**5 + 9 - 2/3*t**2. Factor c(k).
4*k*(k - 1)*(k + 1)**2/3
Let j(s) be the second derivative of 4/3*s**4 + 10/3*s**3 - 3/5*s**5 + 0 + 14*s - 4*s**2. Factor j(z).
-4*(z - 2)*(z + 1)*(3*z - 1)
Suppose 0 = 58*h + 18*h. Find m, given that 6/7*m**3 + 4/7*m**2 + h - 2/7*m = 0.
-1, 0, 1/3
Suppose -150 = -40*b + 34*b. Suppose -38*q - b = -43*q. Determine r, given that -4/5*r**4 + 0 + 0*r - 2*r**3 + 4/5*r**2 + 2*r**q = 0.
-1, 0, 2/5, 1
Let m = -259456094/57157695 - 2068/56313. Let h = -2/435 - m. Factor 2*y**2 + 8/7 + h*y.
2*(y + 2)*(7*y + 2)/7
Let a(l) = -l - 9. Let m be a(-9). Let b(x) be the second derivative of m + 1/54*x**4 + 5*x + 2/27*x**3 + 1/9*x**2. Find o such that b(o) = 0.
-1
Factor 6*g**2 + 17/2*g + 3.
(3*g + 2)*(4*g + 3)/2
Determine z so that 2/13*z**2 - 54/13*z - 2/13 + 54/13*z**3 = 0.
-1, -1/27, 1
Suppose 2*z - 4 = -18. Let p be (1/(12/(-9)))/(z/28). Factor 1/5*l + 0 - 1/5*l**p - 1/5*l**2 + 1/5*l**4.
l*(l - 1)**2*(l + 1)/5
Let s be (-30)/(-135) - 82/6*(-4)/24. Suppose 0 + 5*r - 15/2*r**2 - s*r**5 + 15/2*r**4 - 5/2*r**3 = 0. What is r?
-1, 0, 1, 2
Let u(m) be the second derivative of m**4/48 + 47*m**3/12 + 2209*m**2/8 - 174*m. Solve u(s) = 0 for s.
-47
Let r = 39 - 30. Factor r*y**2 + y**3 - 2 - 4*y - 7*y**2 + 3*y.
(y - 1)*(y + 1)*(y + 2)
Suppose 0 = 6*z + 428 + 1756. Let g be (z/21)/13 + (3 - 1). Factor -2*n - g*n**2 + 0.
-2*n*(n + 3)/3
Let c(a) be the third derivative of 1/12*a**3 + 0*a - 1/480*a**6 + 3*a**2 + 1/80*a**5 + 5/96*a**4 - 1/840*a**7 + 0. Find o, given that c(o) = 0.
-1, 2
Let n(p) = -3*p - 36. Let i be n(-8). Let b be 210/(-60)*i/7. Factor 3*q + b*q**2 + 3/4*q**4 + 15/4*q**3 + 0.
3*q*(q + 1)*(q + 2)**2/4
Let m(c) be the first derivative of -5*c**4/4 - 25*c**3 + 85*c**2 + 584. Factor m(p).
-5*p*(p - 2)*(p + 17)
Let v be (-84)/(-17) - 25*(-28)/(-175). Factor -2/17*s**3 + v + 8/17*s - 4/17*s**2.
-2*(s - 2)*(s + 2)**2/17
What is r in 378*r + 10*r**3 - 8*r**3 + 1800*r - 132*r**2 = 0?
0, 33
Let l = -1/4291 - -34337/38619. Factor -l*q**2 - 2/9*q**3 - 8/9*q + 0.
-2*q*(q + 2)**2/9
Let z(f) be the third derivative of f**5/270 + f**4/9 - 45*f**2. Suppose z(d) = 0. Calculate d.
-12, 0
Let n(i) be the first derivative of -5/4*i**4 + 11 - 5*i + 5/3*i**3 + 5/2*i**2. What is l in n(l) = 0?
-1, 1
Let x(l) be the second derivative of 0 + 0*l**2 + 4/45*l**5 + 19*l + 2/189*l**7 + 0*l**3 - 8/135*l**6 + 0*l**4. Factor x(q).
4*q**3*(q - 2)**2/9
Determine p so that 3*p**2 + 1/2*p**4 + 5/2*p**3 + 0*p + 0 = 0.
-3, -2, 0
Suppose -4*f + 3*f = 8. Let o be f/(-6) - 10/(-60). Suppose 0*n - o*n**2 + 0 - 3/2*n**3 = 0. Calculate n.
-1, 0
Let z = 2085 + -2082. Let k(p) be the second derivative of 0 + 0*p**z - 2/3*p**4 + 0*p**2 - 11*p - 2/15*p**6 + 3/5*p**5. Find f such that k(f) = 0.
0, 1, 2
Let b be (-22)/(-8) + (-1)/(-4 - 0). Let g be (-1)/(-5)*(b - 1). Factor 0*j - g + 2/5*j**2.
2*(j - 1)*(j + 1)/5
Suppose -3*d = -11 - 4. Let 29*x**5 + 25*x**2 + 64*x**d - x**2 - 159*x**3 - 90*x**4 + 12*x - 12*x**5 = 0. Calculate x.
-1, -2/9, 0, 1/3, 2
Let r = 61 - 41. Let l be 4/5*r/8. Factor -3*h**l - 15/2*h**3 + 3 + 15/2*h.
-3*(h - 1)*(h + 1)*(5*h + 2)/2
Let r(v) = -v**5 + v**4 - v**2. Let w(b) = -2*b**5 + 14*b**4 - 12*b**3 - 22*b**2 + 16*b. Let c = 30 - 31. Let f(k) = c*w(k) + 6*r(k). Factor f(i).
-4*i*(i - 1)**2*(i + 2)**2
Suppose 0 = -13*f + 55 + 10. Suppose -20*b**3 + 2*b**4 - 3*b**2 + 12*b**3 - f*b**4 + 2*b = 0. What is b?
-2, -1, 0, 1/3
Let q(w) be the second derivative of 1/8*w**3 - 1/48*w**4 + 0*w**2 + w + 0. Suppose q(c) = 0. What is c?
0, 3
Factor 46*n**2 - 1 + 457*n - 14*n**3 - 254*n + 9 + 3*n**3 - 255*n.
-(n - 2)**2*(11*n - 2)
Suppose 4 = -13*c + 14*c. Suppose -c*u = -5*u. Determine r, given that u - 1/5*r**2 - 1/5*r = 0.
-1, 0
Let g(r) be the second derivative of -r**7/5040 - r**6/720 + 11*r**3/3 + 11*r. Let d(h) be the second derivative of g(h). Let d(t) = 0. What is t?
-3, 0
Let h(t) be the first derivative of 2*t**6/3 - 32*t**5/5 + 13*t**4 + 88*t**3/3 - 64*t**2 - 128*t + 886. Suppose h(c) = 0. What is c?
-1, 2, 4
Let v = -357 - -1799/5. Let i = 18/5 - v. Solve -i*g**2 - 121/5*g**4 + 0 + 44/5*g**3 + 0*g = 0.
0, 2/11
Let l(g) be the third derivative of 0*g + 0 - 1/315*g**7 - 1/90*g**6 - 11*g**2 + 1/9*g**3 + 0*g**5 + 1/18*g**4. Solve l(i) = 0 for i.
-1, 1
Let n(x) be the second derivative of x**7/42 + 11*x**6/15 - 5*x**5 + 26*x**4/3 + 42*x + 3. Find r, given that n(r) = 0.
-26, 0, 2
Let t(k) be the first derivative of -k**6/3 - 6*k**5/5 - k**4 + 65. Factor t(q).
-2*q**3*(q + 1)*(q + 2)
Let s = 644 - 639. Let z(v) be the second derivative of -2/9*v**3 - 1/45*v**6 + 0*v**2 - 1/5*v**s + 2/63*v**7 + 7/18*v**4 + 0 - v. Suppose z(j) = 0. What is j?
-2, 0, 1/2, 1
Let l = -149 - -153. Let g(y) be the first derivative of 8/21*y**3 - 3/7*y**4 + 0*y + 0*y**2 - l. Determine h, given that g(h) = 0.
0, 2/3
Let j(k) be the first derivative of 3*k**5/40 - k**4/2 - k**3/4 + 3*k**2 + 17*k - 17. Let l(q) be the first derivative of j(q). Factor l(z).
3*(z - 4)*(z - 1)*(z + 1)/2
Suppose -3*v + 82 = 7. Suppose -4*h + v + 63 = 0. Suppose 8*c + 4*c - 10*c + 70*c**3 - 50*c**4 - h*c**