 = -l - k*l - 10, l + q + 2 = 0. Solve l - 3/4*n**2 + 3/4*n = 0.
0, 1
Let u(g) be the first derivative of 5*g**4/12 - 25*g**3/6 - g + 10. Let x(n) be the first derivative of u(n). Factor x(k).
5*k*(k - 5)
Let i(q) be the first derivative of -q**6/33 - 6*q**5/55 - q**4/11 - 131. Determine d, given that i(d) = 0.
-2, -1, 0
Suppose 5*g = 0, 9*f = 4*f - 4*g. Suppose f = q + 3*p - 9, -4*q - 5*p = -p - 20. Solve -22*t - 3*t**3 + 4 - 3*t**2 + 11*t**2 + 13*t**q = 0 for t.
-2, 1/5, 1
Suppose -4 = -24*b - 14 + 58. Factor -44/5*v - 8 - 4/5*v**b.
-4*(v + 1)*(v + 10)/5
Let g(o) be the first derivative of o**6/80 + o**5/10 + 5*o**4/16 + o**3/2 + 20*o**2 + 8. Let j(k) be the second derivative of g(k). Factor j(d).
3*(d + 1)**2*(d + 2)/2
Solve -1/11*s**3 + 25/11*s - 24/11*s**2 + 0 = 0.
-25, 0, 1
Let z(u) be the second derivative of 7*u**2 + 56/3*u**4 + 50/3*u**3 + 3/5*u**6 + 39/5*u**5 - u - 2. Suppose z(l) = 0. Calculate l.
-7, -1, -1/3
Suppose 2*s = -m + 2, -2*s + 8 = 4*m - 0*s. Factor r**2 - 53*r + 50*r + 2*r**m.
3*r*(r - 1)
Let x = 45 + -88. Let v be x/(-15) - 26/(-195). Find l such that 3*l**v - 4*l**3 + 2*l**2 - l**2 + 2*l = 0.
-1, 0, 2
Let a be (24/16)/((-6)/(-100)). Factor -78*w**2 + 78*w**2 + 10*w**4 - a*w**3 - w**5.
-w**3*(w - 5)**2
Let t(j) be the first derivative of -2*j**2 - 4/3*j**3 + 2 + j**4 + 4*j. Factor t(d).
4*(d - 1)**2*(d + 1)
Let q(m) be the third derivative of -m**5/240 + 23*m**4/96 - 22*m**2. Factor q(r).
-r*(r - 23)/4
Let k(u) = -10*u**2 + 25*u - 10. Let m(z) = -9*z**2 + 24*z - 11. Let h(w) = 4*k(w) - 5*m(w). Determine o, given that h(o) = 0.
1, 3
Let j(w) be the first derivative of -2*w**5/25 + 4*w**4/5 - 12*w**3/5 + 16*w**2/5 - 2*w - 175. Factor j(o).
-2*(o - 5)*(o - 1)**3/5
Let d(z) be the first derivative of 1 - 3*z**5 - 20*z + 0*z**2 + 5/6*z**6 - 5/4*z**4 + 35/3*z**3. Suppose d(k) = 0. Calculate k.
-1, 1, 2
Let z(x) be the first derivative of x**5/5 - 19*x**4/12 + 13*x**3/3 - 29*x**2/6 + 2*x + 54. Let z(i) = 0. What is i?
1/3, 1, 2, 3
Let r = 2597/2 - 1298. Suppose 8 + r*g**2 + 4*g = 0. What is g?
-4
Let m(h) = 5*h**4 - 3*h**3 + 22*h**2 + 18*h. Let d(o) = -4*o**4 + 4*o**3 - 19*o**2 - 21*o. Let i(t) = -6*d(t) - 5*m(t). Find y such that i(y) = 0.
-9, -2, 0, 2
Suppose 9*j - 7*j - 8 = 0, -20 = -4*r - 2*j. Let b(l) be the third derivative of -4/9*l**3 - 1/90*l**5 + 0*l - r*l**2 + 0 + 1/9*l**4. Solve b(m) = 0 for m.
2
Let r = -30177 - -90535/3. Determine s so that 0 - r*s**3 + 0*s**2 + 1/3*s**5 + 0*s - s**4 = 0.
-1, 0, 4
Suppose 39/2*u**2 + 1/4*u**4 + 55*u - 5*u**3 + 121/4 = 0. What is u?
-1, 11
Factor 88 - 2*x**2 + 0*x**2 - 18*x + 51 - 67.
-2*(x - 3)*(x + 12)
Let h(g) be the third derivative of g**5/150 - g**4/15 + 4*g**3/15 + 9*g**2 + g. Factor h(r).
2*(r - 2)**2/5
Factor 0 + 54/7*x**2 - 30/7*x**3 - 26/7*x + 2/7*x**4.
2*x*(x - 13)*(x - 1)**2/7
Let z(c) be the first derivative of c**4/14 + 2*c**3/21 + 164. Solve z(a) = 0.
-1, 0
Let y(v) be the second derivative of 2*v**7/49 + v**6/70 - v + 104. Factor y(i).
3*i**4*(4*i + 1)/7
Let k(t) be the third derivative of 10*t**2 + 1/24*t**4 + 1/3*t**3 + 0 + 0*t - 1/60*t**5. Factor k(z).
-(z - 2)*(z + 1)
Find h, given that 8/3*h**2 - 1/3*h**5 - 5/3*h**4 - 2/3*h**3 + 0 + 0*h = 0.
-4, -2, 0, 1
Let n(w) be the first derivative of -w**7/252 - w**6/180 + w**5/120 + w**4/72 - 3*w - 4. Let s(f) be the first derivative of n(f). Factor s(j).
-j**2*(j - 1)*(j + 1)**2/6
Suppose 4*i + 36 = -119*j + 120*j, 4*j - 8 = -i. Factor 4/3*b**3 + 0*b - 5/3*b**2 + 0 + 1/3*b**j.
b**2*(b - 1)*(b + 5)/3
Suppose -1/8*g**3 - 29/8*g**2 - 195/8*g + 225/8 = 0. Calculate g.
-15, 1
Let p = 303 + -453. Let c be (8/42)/((-100)/p). Let c*t - 2/7*t**3 - 2/7*t**4 + 2/7*t**2 + 0 = 0. What is t?
-1, 0, 1
Factor 1032/7*x + 4*x**3 + 72/7 + 338/7*x**2.
2*(x + 6)**2*(14*x + 1)/7
Let l(a) be the first derivative of -a**3/3 - 7*a**2/2 - 10*a + 28. Let l(b) = 0. Calculate b.
-5, -2
Let k be 5/6*(-176)/(-220). Let a(f) be the first derivative of -k*f**3 + 0*f - f**4 + 3 + 0*f**2 - 2/5*f**5. Factor a(u).
-2*u**2*(u + 1)**2
Let h(l) be the second derivative of 0*l**3 + 0*l**4 + 0 - 1/90*l**5 - 5*l - 3*l**2. Let w(v) be the first derivative of h(v). Find b, given that w(b) = 0.
0
Let y = 6448 + -6448. Suppose y + 0*s + 0*s**2 - 2/3*s**3 + 4/3*s**4 - 2/3*s**5 = 0. Calculate s.
0, 1
Let v be -1 - 4/5*(-5)/1. Let l(y) = -3*y + 5*y**2 + 1 + 1 - 4*y**2. Let k(b) = -2*b**2 + 6*b - 4. Let j(p) = v*k(p) + 5*l(p). Determine t, given that j(t) = 0.
1, 2
Let l(m) be the first derivative of -3*m**4/8 + 3*m**3/4 - m**2/2 - 6*m - 7. Let w(b) be the first derivative of l(b). Factor w(x).
-(3*x - 2)*(3*x - 1)/2
Suppose 3*v + 3 = 2*r + 11, -20 = -5*v. Factor g**r - 6 - 5*g + 6 + 3*g.
g*(g - 2)
Let z(n) be the second derivative of 1/9*n**3 + 2/3*n**2 + 0 - 1/30*n**5 - 1/9*n**4 - 10*n. Let z(r) = 0. What is r?
-2, -1, 1
Let g(h) be the first derivative of 3 + 0*h - 5*h**2 - 2/3*h**3 + 1/3*h**4 - 1/15*h**5. Let k(u) be the second derivative of g(u). Factor k(r).
-4*(r - 1)**2
Suppose 2*d - p - 12 = -6*p, 0 = -4*d + 5*p + 24. Determine i so that 3*i**2 - d - i**4 - 3*i + 3*i**2 + 3*i**2 - 2*i**4 + 3*i**3 = 0.
-1, 1, 2
Let p(v) = -v + 1. Let f(i) = -i**3 + 30*i - 20. Let x(g) = f(g) + 3*p(g). Let y(b) be the first derivative of x(b). Factor y(j).
-3*(j - 3)*(j + 3)
Let w(x) be the third derivative of -x**6/20 + 2*x**5/15 + x**4 - 16*x**3/3 + 3*x**2 - 39. Factor w(r).
-2*(r - 2)*(r + 2)*(3*r - 4)
Suppose 4*b - l + 2 = 15, -3*l - 7 = 4*b. Determine x so that -x**4 + 2*x**4 + 2*x**3 - 3*x**3 + b*x**3 = 0.
-1, 0
Let w(h) = -h**3 - h**2 + h. Let t(q) = -3*q**4 - 9*q**3 + 6*q. Let s = 8 - 9. Let p(j) = s*t(j) + 6*w(j). Factor p(b).
3*b**2*(b - 1)*(b + 2)
Let w(y) = -y**5 + y**4 - y**3 - y**2 - y. Let x(u) = -6*u**5 + 2*u**4 - 6*u - 2. Let g(r) = -4*w(r) + x(r). What is p in g(p) = 0?
-1, 1
Let r = 97 - -189. Factor 20*i - 138*i**2 + r*i**2 + 24 - 144*i**2.
4*(i + 2)*(i + 3)
Let x be ((-108)/45)/3 - (-15)/3 - 3. Determine h, given that -x*h**4 - 3/5*h**5 + 0*h + 6/5*h**2 + 0 + 3/5*h**3 = 0.
-2, -1, 0, 1
Let t(g) be the second derivative of 15/8*g**4 + 5/2*g**2 + 1/12*g**6 - 5/8*g**5 + 0 - 35/12*g**3 - 19*g. Determine d so that t(d) = 0.
1, 2
Let r be (-1)/(((-10)/(-6))/5). Let u be r/4 - 207/(-36). Suppose 5 - u - o**2 = 0. Calculate o.
0
Let s = 16453 - 345403/21. Find v, given that -4/21 + s*v**3 + 16/7*v**2 - 10/21*v + 8/3*v**4 = 0.
-1, -1/4, 2/7
Suppose -53*z + 54*z - 3 = 0, 3*z - 6 = i. Factor 25/2 + 11/2*h**2 - 1/2*h**i - 35/2*h.
-(h - 5)**2*(h - 1)/2
Suppose -2*l - 3*l = 275. Let i be (-12)/(-5) + (-33)/l. Suppose -6/11*a**2 + 0 + 0*a**i + 2/11*a**4 - 4/11*a = 0. What is a?
-1, 0, 2
Let f(b) = 4*b**4 - b**3 - b**2 - 2*b + 3. Let x(y) = -17*y**4 + 5*y**3 + 4*y**2 + 8*y - 13. Let g(v) = 26*f(v) + 6*x(v). Factor g(i).
2*i*(i - 1)*(i + 1)*(i + 2)
Let v(s) be the second derivative of s**4/3 - 2*s**3/3 - 40*s**2 - 72*s. Let v(r) = 0. What is r?
-4, 5
Suppose -6*a - 3*a = -18. Suppose 5*v = a*v. Let v + 1/2*p**2 - 1/2*p = 0. Calculate p.
0, 1
Let g be (-17 - -16)*(-2)/10. Let t be 1*(6/5 + -1). Factor 1/5*y**3 + 1/5*y**2 - t*y - g.
(y - 1)*(y + 1)**2/5
Let d(k) = 11*k**3 + 3*k**2 + 2*k. Let q be d(-1). Let r = -7 - q. Factor r - 15 - 2*b**2 + 5 - 12*b - 11.
-2*(b + 3)**2
Suppose -25*s + 29*s + 2*p = 0, 5*p + 26 = 3*s. Find i such that -i + 0 - 1/4*i**3 + i**s = 0.
0, 2
Let o = -7354 + 7356. Determine c, given that -2/3 - 14/3*c**3 - 1/3*c**5 - 16/3*c**2 - o*c**4 - 3*c = 0.
-2, -1
Let q(x) be the third derivative of x**7/105 + x**6/60 - x**5/30 - x**4/12 - 315*x**2. Factor q(y).
2*y*(y - 1)*(y + 1)**2
Let f(x) be the first derivative of 1/10*x**2 + 0*x - 1/20*x**4 + 3/25*x**5 - 5 - 1/5*x**3. Determine g, given that f(g) = 0.
-1, 0, 1/3, 1
Let i = -63 - -65. Let f be 1/i*8/10. Determine v, given that -4/5*v**3 + 0*v - f*v**5 - 1/5*v**2 - v**4 + 0 = 0.
-1, -1/2, 0
Let g(c) be the first derivative of c**5/10 - c**4/8 - 7*c**3/6 + c**2/4 + 3*c + 174. Solve g(i) = 0 for i.
-2, -1, 1, 3
Let w(l) be the second derivative of 1/36*l**4 + 1/3*l**2 + 0 - 6*l + 1/6*l**3. Determine u so that w(u) = 0.
-2, -1
Let p(s) = -s. Let f(z) = 5*z**2 - z - 4. Let c(o) = f(o) - 5*p(o). Let u(w) = -6*w**2 - 5*w + 5. Let b(v) = 5*c(v) + 4*u(v). Suppose b(t) = 0. Calculate t.
0
Let w(o) be the sec