9 - -43. Let h be (k + -2)*3/24. Factor 1/4*q - h*q**2 + 0.
-q*(q - 1)/4
Let x = 527665/1169238 + -1/14259. Let d = x - -2/41. Determine l, given that -3*l**2 - d - 1/2*l**4 - 2*l**3 - 2*l = 0.
-1
Let s(i) = -i**3 - 9*i**2 - 7*i + 4. Let j be s(-8). Let w(t) = -t**2 + 1. Let d(x) = -3*x**2 + 2*x + 2. Let k(p) = j*w(p) + 2*d(p). Factor k(u).
-2*u*(u - 2)
Let j(l) = 6*l**5 + 34*l**4 - 38*l**3 + 50*l**2 - 12*l + 10. Let p(u) = u**5 + u**4 + u**3 + u**2 + 1. Let d(n) = j(n) - 10*p(n). Solve d(q) = 0 for q.
0, 1, 3
Let -40/3*v + 32/3 - 1/6*v**3 + 17/6*v**2 = 0. Calculate v.
1, 8
Let j(g) be the third derivative of -g**8/2520 + g**7/1575 + g**6/900 - g**5/450 + 17*g**2. Suppose j(h) = 0. Calculate h.
-1, 0, 1
Let j(r) = -4*r**3 + 9*r**2 - 12*r + 1. Let q(y) = -4*y**3 + 10*y**2 - 12*y + 2. Let p(c) = -2*j(c) + 3*q(c). Factor p(x).
-4*(x - 1)**3
Let n = 4 - 4. Let v be -4 + n - 140/(-30). Let 0*h - 2/3*h**2 + v = 0. Calculate h.
-1, 1
Let s = 13/8 + -9/8. Let t(d) be the first derivative of s*d**2 + 2 - 1/3*d**3 + 0*d. Factor t(u).
-u*(u - 1)
Suppose -2*c - 9 = -3*o, 2*c + c = 0. Let -o*m + 4*m - 2*m**3 + 2*m**2 + 0*m**2 - m**4 - 1 + m**5 + 0*m**3 = 0. What is m?
-1, 1
Let y = 805/11 - 73. Suppose y*t**2 + 0 + 4/11*t = 0. What is t?
-2, 0
Let v = 4 + -2. Let a = -5 + 21. Let -48*i**3 + 2 - 6*i**v + 18*i**4 + 36*i**2 - a*i + 14*i**2 = 0. Calculate i.
1/3, 1
Let n be 25/10 + -4 + 3. Solve -n*a**2 - 1/2 + 2*a = 0.
1/3, 1
Suppose -3*u - 4 = 5. Let y be 0 - (2 + u)*3. Find p, given that -32/3*p**2 + 2/3*p - 10*p**y + 4/3 = 0.
-1, -2/5, 1/3
Let t(w) be the second derivative of w**6/360 - w**5/60 + w**3/6 - w. Let z(a) be the second derivative of t(a). Factor z(q).
q*(q - 2)
Suppose 3*d = 8*d - 10. Factor -2*b**3 - 6*b**3 + d*b**3 + 3*b**3.
-3*b**3
Let p(b) be the second derivative of 9*b**4/4 + 4*b**3 + 8*b**2/3 + 12*b. Determine r so that p(r) = 0.
-4/9
Suppose 4*k + k + 15 = 0. Let o = k - -3. What is b in -1 - 3 + o*b**2 - 2*b + 4*b + 2*b**2 = 0?
-2, 1
Suppose 5*d = 3*p + 2*d, -5*d + 12 = -p. Find z, given that 6/11*z**2 - 6/11*z + 2/11 - 2/11*z**p = 0.
1
Let z(p) be the second derivative of -p**5/20 + p**4/12 - p**3/6 + 3*p. Let f(d) = -3*d**3 - 6*d. Let t(y) = -f(y) + 6*z(y). Factor t(r).
-3*r**2*(r - 2)
Solve 3/7*m + 0 - 3/7*m**2 = 0 for m.
0, 1
Let j(c) be the first derivative of -c**7/210 - c**6/60 - c**5/60 + c**2/2 + 3. Let o(a) be the second derivative of j(a). Determine l, given that o(l) = 0.
-1, 0
Let y be (-3 + (-298)/(-100))*-1. Let p(u) be the second derivative of y*u**5 + 0*u**3 + 0 + 0*u**2 + 1/60*u**4 + 1/150*u**6 + u. Suppose p(c) = 0. Calculate c.
-1, 0
Find x, given that -3/5*x - 1/5*x**2 + 0 = 0.
-3, 0
Let y(j) = -2*j. Let w(z) = -z**2 - 3*z. Let t(q) = 6*w(q) - 11*y(q). Factor t(v).
-2*v*(3*v - 2)
Let m be ((-15)/10)/(3/(-14)). Let g = 9 - m. Factor 6*s**4 - 21/2*s + 45/2*s**g - 39/2*s**3 + 3/2.
3*(s - 1)**3*(4*s - 1)/2
Let q = -2 - -5/2. Factor 0*c**2 + 0 + 0*c**4 - 1/2*c**5 + 0*c + q*c**3.
-c**3*(c - 1)*(c + 1)/2
Let x(p) = -4*p**3 + 13*p**2 - 7. Let l(g) = g**3 - 4*g**2 + 2. Let q(c) = 21*l(c) + 6*x(c). Factor q(r).
-3*r**2*(r + 2)
Let l = -53 + 57. Let t(k) be the second derivative of 1/9*k**3 - 1/18*k**l + 0*k**2 + 2*k + 0. Let t(o) = 0. What is o?
0, 1
Let x = -495/7 - -71. Factor 4/7*p + 2/7 + x*p**2.
2*(p + 1)**2/7
Let o(k) be the second derivative of 1/3*k**3 + 1/1080*k**6 + 0*k**2 + 1/180*k**5 + 3*k + 1/72*k**4 + 0. Let a(p) be the second derivative of o(p). Factor a(v).
(v + 1)**2/3
Let i(f) be the first derivative of -2/21*f**3 + 8/7*f**2 - 1 - 32/7*f. Suppose i(h) = 0. What is h?
4
Find s, given that -4/3*s**2 - 10/3*s**3 + 0 - 2/3*s**5 - 8/3*s**4 + 0*s = 0.
-2, -1, 0
Let j be ((-3)/2)/((-6)/28). Suppose 0 = -r - 5 + j. Suppose 0 + 3/2*w**3 + 0*w**r + 0*w + 3*w**4 = 0. Calculate w.
-1/2, 0
Suppose -4*b - 2*d - 10 = 0, -2*b - 4*d - 20 = -5*b. Let m(x) be the third derivative of -2*x**2 - 1/4*x**4 - 1/3*x**3 + 2/15*x**5 + 0*x + b. Factor m(v).
2*(v - 1)*(4*v + 1)
Let b = 203 + -203. Suppose b*m - 2/7*m**4 + 0 - 2/7*m**2 + 4/7*m**3 = 0. What is m?
0, 1
Let h = 42 + -41. Let z(q) be the first derivative of -3*q**3 + h - 3*q**2 - 3/4*q**4 + 0*q. Factor z(x).
-3*x*(x + 1)*(x + 2)
Factor 0*t**2 + 0 - 1/2*t**3 + 0*t + 1/8*t**5 + 0*t**4.
t**3*(t - 2)*(t + 2)/8
Let n(a) be the third derivative of -1/48*a**4 - 3*a**2 + 0*a + 1/60*a**5 - 1/240*a**6 + 0*a**3 + 0. Factor n(o).
-o*(o - 1)**2/2
Let z(q) be the third derivative of 0*q**4 + 0*q**3 + 0 - 3*q**2 + 0*q + 1/270*q**5. Suppose z(t) = 0. Calculate t.
0
What is p in -40*p + 9*p**2 - 45 + 10*p**2 - 19*p**2 + 5*p**2 = 0?
-1, 9
Let m(h) = -h**3 + 5*h**2 + 7*h - 4. Let a be m(6). Let -3*d**4 - 7*d**3 + 2*d**a - 2*d**4 + 0*d**4 + 4*d**3 = 0. What is d?
-1, 0, 2/5
What is r in -9*r + 5*r + 5*r**3 + 4*r - r**4 - 4*r**2 = 0?
0, 1, 4
Let s(j) = -j**4 + j**2. Let c(t) = -2*t**4 - 8*t**3 + 24*t + 18. Let h(o) = -c(o) + 4*s(o). Factor h(x).
-2*(x - 3)**2*(x + 1)**2
Let n(v) be the first derivative of v**5/25 + v**4/20 - v**3/3 + 3*v**2/10 + 20. Factor n(c).
c*(c - 1)**2*(c + 3)/5
Let i(q) = q**2. Let b(x) = 3*x**2 + 3*x - 4. Let j(s) = -b(s) + 2*i(s). Factor j(h).
-(h - 1)*(h + 4)
Let r(u) be the first derivative of -3*u**6/2 - 6*u**5/5 + 9*u**4/2 + 4*u**3 - 9*u**2/2 - 6*u + 16. Determine w so that r(w) = 0.
-1, -2/3, 1
Suppose 0 = d + p + 2, 5*d - p = -0*p + 2. Determine y so that -2/3*y**2 + 2/3*y + d = 0.
0, 1
Let i be (-12)/(-10) - 1 - 5/25. Let m(a) be the third derivative of 1/60*a**5 - 1/120*a**6 + i + 0*a**4 + 0*a**3 + 0*a + a**2. Factor m(c).
-c**2*(c - 1)
Let w(d) = d**4 - d**3 + d**2 + d. Let p(u) = 4*u**5 + 3*u**4 - 6*u**3 + 4*u**2 + 3*u. Let l(o) = 5*p(o) - 15*w(o). Factor l(b).
5*b**2*(b + 1)*(2*b - 1)**2
Suppose -w = -0*w. Factor r**2 - 6*r - 4*r**2 + w*r.
-3*r*(r + 2)
Let c(y) be the third derivative of y**6/160 - 3*y**5/80 + y**4/16 - 7*y**2. Factor c(d).
3*d*(d - 2)*(d - 1)/4
Factor 3*h + 6*h**3 - 6*h**2 - 3*h**4 + 3/5*h**5 - 3/5.
3*(h - 1)**5/5
Let c = -15 - -25. Factor -18 - c*v + v - 2*v**2 - 3*v.
-2*(v + 3)**2
Determine n, given that 4/7*n**5 - 16/7*n**2 - 16/7*n**4 + 4/7*n + 0 + 24/7*n**3 = 0.
0, 1
Suppose 8 = 4*g - 4. Determine d, given that -3*d**5 + 5*d - 3*d**4 + 2*d**5 + 2 - g*d**2 - 4*d**3 - d**4 + 5*d**2 = 0.
-2, -1, 1
Let s be (-19)/(95/6)*-2. Let -s*w**3 - 1/5*w**4 + 0 + 4/5*w**5 - 2/5*w + 11/5*w**2 = 0. Calculate w.
-2, 0, 1/4, 1
Let v(h) = -44*h**2 + 566*h - 4024. Let p(z) = -5*z**2 + 63*z - 447. Let t(j) = -52*p(j) + 6*v(j). What is l in t(l) = 0?
15
Find t, given that 8 + 20*t + 8*t**2 - 5*t**2 + 6*t**2 + 7*t**2 + 4*t**3 = 0.
-2, -1
Let k be (9/4)/(120/160). Determine u, given that 0 + 0*u**k + 4/3*u - 8/3*u**2 - 4/3*u**5 + 8/3*u**4 = 0.
-1, 0, 1
Let j = -152 + 154. Let n(p) be the second derivative of 1/3*p**4 + 0*p**2 + 3/20*p**5 - j*p + 1/6*p**3 + 0. Solve n(a) = 0 for a.
-1, -1/3, 0
Let u be 1/7*(-3 - -5). Determine z so that 0 + 2/7*z**2 + u*z**4 + 0*z - 4/7*z**3 = 0.
0, 1
Let l(t) be the first derivative of -t**4/18 - 2*t**3/9 + t**2 - 8*t + 6. Let m(y) be the first derivative of l(y). Factor m(r).
-2*(r - 1)*(r + 3)/3
Let o be 9 + -1 - (-5 - -3). Let d be -8*(o/(-4))/5. Suppose -d*j**3 + 5*j**3 - 3*j**3 = 0. Calculate j.
0
Suppose 3*z + 13 = 4*z - 3*p, 0 = -3*z - p - 1. Let i be z*4/(-2 - -14). Determine s, given that i*s**2 - s + 2/3 = 0.
1, 2
Let s(f) = 16*f**3 + 12*f**2 - 16*f - 12. Let c(y) = -y**3 - y**2 + y + 1. Let l(r) = 12*c(r) + s(r). Factor l(m).
4*m*(m - 1)*(m + 1)
Let q = -61 + 63. Suppose -2*y + 1 = -4*x - 17, 2*x = -8. Factor k**3 + 0*k**2 + 3 - k**4 + 3*k**q + y - 2 - 5*k.
-(k - 1)**3*(k + 2)
Let u(q) = -5*q**4 - q**3 + 9*q**2 - 25*q + 10. Let m(o) = -10*o**4 - o**3 + 19*o**2 - 50*o + 20. Let s(d) = 6*m(d) - 11*u(d). Factor s(i).
-5*(i - 1)**3*(i + 2)
Let d(j) be the third derivative of -j**6/24 + 8*j**2. Factor d(x).
-5*x**3
Let z(y) be the first derivative of -2*y**3/45 - y**2/15 - 1. Let z(s) = 0. Calculate s.
-1, 0
Let t(n) = -n**2 + 8*n + 53. Let j be t(12). Factor 6*l**4 + 3/2*l**j + 6*l**2 + 3/2*l + 9*l**3 + 0.
3*l*(l + 1)**4/2
Find n such that n**2 + 0*n + 0 - 1/3*n**3 = 0.
0, 3
Find t such that -8/7*t**4 + 0*t - 2/7*t**5 - 10/7*t**3 + 0 - 4/7*t**2 = 0.
-2, -1, 0
Determine g so that g - 3*g - 10*g**2 + 6*g**2 - 5*g**2 -