94 + 4*g**2 = 0.
-5, 3
Suppose -80 = -2*f + 5*m, 2*m = f - 2*m - 46. Let t(g) = 8*g**2 + 3*g + 4. Let v be t(-2). Factor 2*p**2 - v - 4*p + f.
2*p*(p - 2)
Factor 3/8*g**2 - 3/2*g - 9/2.
3*(g - 6)*(g + 2)/8
Suppose 2*b - 4*g + 13 = -3, 4*b - 4*g = -16. Let z(k) be the second derivative of -1/22*k**4 + 1/11*k**3 + b + 1/110*k**5 - 2*k - 1/11*k**2. Factor z(x).
2*(x - 1)**3/11
Let i(g) be the third derivative of -3/32*g**4 - 1/160*g**6 + 0*g + 9/8*g**3 - 1/16*g**5 + 13*g**2 + 0. Factor i(h).
-3*(h - 1)*(h + 3)**2/4
Let q(p) = 10*p**4 + 69*p**3 + 184*p**2 - 112*p. Let o(u) = -9*u**4 - 69*u**3 - 183*u**2 + 111*u. Let i(m) = -4*o(m) - 3*q(m). Factor i(n).
3*n*(n + 6)**2*(2*n - 1)
Find h, given that -58/9*h**3 + 86/9*h**2 - 2/9*h**5 + 2*h**4 - 20/3*h + 16/9 = 0.
1, 2, 4
Let m(p) be the third derivative of p**9/52920 + p**8/11760 - p**6/1260 - p**5/420 - p**4/24 + p**2. Let j(s) be the second derivative of m(s). Factor j(q).
2*(q - 1)*(q + 1)**3/7
Let w = 94 + -88. Let j be (-45)/w*12/(-75). Determine b so that j*b + 0 + 2/5*b**2 = 0.
-3, 0
Let n(k) be the first derivative of 3*k**4/20 + 2*k**3/15 - 39. Factor n(h).
h**2*(3*h + 2)/5
Determine a so that 52*a**3 + 55*a**2 - 20873*a**4 - 2*a**3 + 20868*a**4 = 0.
-1, 0, 11
Let f(z) be the second derivative of -z**5/50 - 31*z**4/30 - 28*z**3/15 + 12*z**2 - 326*z. Suppose f(o) = 0. Calculate o.
-30, -2, 1
Let v be 200/6*144/60. Let t = -78 + v. Solve -2/11*s**t - 4/11*s + 6/11 = 0 for s.
-3, 1
Let x be 3/3*(78/(-27) + 3). Let m(k) be the first derivative of 3 + 0*k**3 + 0*k + x*k**2 - 1/18*k**4. Factor m(w).
-2*w*(w - 1)*(w + 1)/9
Let a(c) = c**3 - 15*c**2 - 34*c - 6. Let w be a(17). Let y(u) = -9*u - 54. Let o be y(w). Suppose -2/17*g**3 + 0*g + o + 6/17*g**2 = 0. Calculate g.
0, 3
Let q = -7/45 + 16/45. Let m be (-2 + (-60)/(-21))*42/12. Suppose 1/5*y**2 - q*y + 1/5*y**m - 1/5 = 0. What is y?
-1, 1
Suppose 0 = d - 2*a - 2, -3 = -d + 2*a - a. Let -2 + o**4 + o**d + o**4 - 1 + 6*o - 6*o**3 = 0. Calculate o.
-1, 1
Let i(r) be the second derivative of 4*r**2 + 0 + 1/5*r**5 - 29*r + 1/60*r**6 + 8/3*r**3 + r**4. Factor i(s).
(s + 2)**4/2
Suppose 10424*c = 10349*c + 150. Determine g so that -17/3*g**4 - 5/3*g**5 - 4/3*g**c - 16/3*g**3 + 0*g + 0 = 0.
-2, -1, -2/5, 0
Let p(v) be the first derivative of v**6/240 - v**5/20 + 3*v**4/16 + 53*v**2/2 + 20. Let u(i) be the second derivative of p(i). Factor u(h).
h*(h - 3)**2/2
Let y = 25 + -49/2. Let r be 2/(-5) + 19/10. Factor -j**2 - r*j + j**3 + y*j**5 + 3/2*j**4 - 1/2.
(j - 1)*(j + 1)**4/2
Let z(f) be the second derivative of -f**5/40 - 31*f**4/24 - 56*f**3/3 + 64*f**2 + 2*f - 70. Let z(m) = 0. Calculate m.
-16, 1
Suppose 0 = 5*k - 2*l - 37, k + 5*l + 2 = 31. Let f be ((-3)/k)/(-1) + (-13)/65. Factor f*v**2 + 0 - 2/5*v.
2*v*(v - 3)/15
Let j be (-9)/(-5) - (-14)/70. Factor -3 + 2*z**2 + 3*z**3 + j*z**4 + 6*z - 1 - 9*z**3.
2*(z - 2)*(z - 1)**2*(z + 1)
Let j(y) be the third derivative of y**6/24 + 13*y**5/12 + 10*y**4 + 30*y**3 - 205*y**2. Determine x so that j(x) = 0.
-6, -1
Let z(x) be the first derivative of x**4/26 - 28*x**3/39 + 25*x**2/13 - 24*x/13 - 647. Factor z(u).
2*(u - 12)*(u - 1)**2/13
Suppose 6*p + 13 = -11. Let g = p + 8. Factor -8*y - 8*y**2 + g*y**5 + 4*y + 8*y**4 + 0*y.
4*y*(y - 1)*(y + 1)**3
Factor 0 - 3/5*p**2 + 24/5*p.
-3*p*(p - 8)/5
Let g(i) be the third derivative of -i**5/450 - i**4/36 - 4*i**3/45 - 24*i**2. Factor g(d).
-2*(d + 1)*(d + 4)/15
Let 0 - 3*i**2 + 3/4*i**3 - 15/4*i = 0. Calculate i.
-1, 0, 5
Suppose g + 15 = 4*h - 3, 0 = -h + 4*g + 12. Let n(c) be the first derivative of -8 + 0*c + 1/2*c**2 - 7/3*c**3 + 3/2*c**h. Factor n(i).
i*(i - 1)*(6*i - 1)
Let d(i) be the third derivative of i**9/490 - 3*i**8/980 + i**7/490 - i**6/1260 + i**5/15 + 7*i**2. Let w(u) be the third derivative of d(u). Factor w(m).
4*(6*m - 1)**3/7
Let a(s) be the second derivative of -s**4/20 + 63*s**3/10 - 612*s. Factor a(d).
-3*d*(d - 63)/5
Let t(d) be the second derivative of -3/22*d**5 - 25/22*d**4 - 42*d + 0 - 1/165*d**6 + 0*d**2 - 125/33*d**3. Let t(v) = 0. Calculate v.
-5, 0
Let x(v) = -2*v**4 - v**3 + v. Let y(i) = -5*i**5 - 15*i**3 + 2*i**2 + 6*i. Let h(r) = 6*x(r) - y(r). Factor h(a).
a**2*(a - 1)**2*(5*a - 2)
Let z(t) be the first derivative of 3*t**4/4 + 40*t**3 - 123*t**2/2 - 660. Find n, given that z(n) = 0.
-41, 0, 1
Let t be (-174)/(-336)*8 + (-128)/(-28) + -5. Suppose 64/7*g**3 - t*g - 24/7*g**4 - 12/7 + 34/7*g**2 = 0. Calculate g.
-1/2, 2/3, 3
Let -n**3 - 8*n**3 + 2*n**4 + 4*n**3 + n**3 + 6*n**2 - 12*n**2 = 0. Calculate n.
-1, 0, 3
Let n(m) = -7 - 3*m - 2*m + 6*m. Let t be n(10). Factor -12*y**3 + 7*y**3 - 1 + 8*y + 7*y**2 - t.
-(y - 2)*(y + 1)*(5*y - 2)
Let i(j) = j**4 - 3*j**3 - 3*j**2 + 5*j. Suppose -4*g - 5*f = -27, 3*f - 2 = 7. Let s(m) = 11 - 10 + 6*m - 6*m - m**g. Let d(n) = -2*i(n) + 4*s(n). Factor d(y).
-2*(y - 1)**3*(y + 2)
Let z be -14*(2 - 14/4). Factor 13*a**4 - 12*a**2 + 2*a + 0*a - z*a**4 + 18*a**3.
-2*a*(a - 1)**2*(4*a - 1)
Suppose -16/9*a + 2/9*a**2 + 32/9 = 0. What is a?
4
Let z(p) be the second derivative of p**4/22 - 8*p**3/33 + 4*p**2/11 + 33*p. Let z(k) = 0. Calculate k.
2/3, 2
Let c(z) be the second derivative of z**4/108 - z**3/3 - 20*z**2/9 - 22*z + 8. Factor c(p).
(p - 20)*(p + 2)/9
Suppose -74*u**4 + 7763*u**4 - 1876*u**2 + 2044*u**3 - 86*u + 4115*u**4 - 36*u - 34*u + 8112*u**5 + 72 = 0. What is u?
-1, -2/3, -1/4, 3/13
Let y be 0/(0 + 6 + -9). Let a(h) be the first derivative of y*h - 1/12*h**3 + 9 + 1/4*h**2. Factor a(o).
-o*(o - 2)/4
Let y = -5 - -7. Let d be (-2)/(-8) + (-222)/(-8). Factor -d*q**3 + 30*q**3 + q**4 - y*q**4 - 2*q + 1.
-(q - 1)**3*(q + 1)
Let t(j) be the third derivative of 1/450*j**5 + 0*j + 0 - 8*j**2 + 1/90*j**4 + 1/45*j**3. Solve t(c) = 0 for c.
-1
Suppose -271*m + 21 = -269*m - 3*q, 0 = q + 5. Find t such that -1/4*t**m - 3/4*t**2 + 0 - 1/2*t = 0.
-2, -1, 0
Factor -2*r + 1/5*r**3 + 3/5*r**2 + 0.
r*(r - 2)*(r + 5)/5
Let d = 5146 - 15436/3. Factor 1/2*m**2 - d - 2/3*m**3 + 2/3*m + 1/6*m**4.
(m - 2)**2*(m - 1)*(m + 1)/6
Find c such that -12/11 + 2/11*c**3 - 10/11*c + 4/11*c**2 = 0.
-3, -1, 2
Suppose -71 = -0*i - i + q, -2*i - q + 127 = 0. Let j be 1 - (-4 + i/18). Solve 2/3*s + j*s**3 + 1/3*s**4 + 5/3*s**2 + 0 = 0.
-2, -1, 0
Suppose q = 2*q - 3, -t - 5*q = -37. Let b be ((-2)/t)/((-6)/33). Solve -5/4*m**3 + 3/4*m**5 - 1/4*m**2 + 0 + 1/4*m**4 + b*m = 0 for m.
-1, 0, 2/3, 1
Suppose 0 = -21*a + 5*a + 3232. Let q = a + -2220/11. Factor -q*v**3 + 0 - 6/11*v**2 - 4/11*v.
-2*v*(v + 1)*(v + 2)/11
Let s = 44 + -42. Factor -14*f**s - 2*f**3 - 2*f**3 + 23*f - 33*f.
-2*f*(f + 1)*(2*f + 5)
Let d(j) = j**4 + j**3 - j**2 + 2. Let l(i) = 9*i**4 + 6*i**3 - 57*i**2 - 108*i - 48. Let q(f) = -6*d(f) + l(f). Factor q(x).
3*(x - 5)*(x + 1)*(x + 2)**2
Let k(m) be the first derivative of 0*m**2 + 3/100*m**5 - 11*m - 1/10*m**4 + 1/10*m**3 + 6. Let p(g) be the first derivative of k(g). Factor p(o).
3*o*(o - 1)**2/5
Let a(q) be the first derivative of 1/2*q**2 + 1/4*q**4 + 10 + 0*q + 2/3*q**3. Suppose a(m) = 0. Calculate m.
-1, 0
Let m(b) be the third derivative of 1/6*b**4 + 1/3*b**3 + 0 + 1/30*b**5 - 6*b**2 + 1/360*b**6 + 0*b. Let o(x) be the first derivative of m(x). Factor o(k).
(k + 2)**2
Let f(y) be the second derivative of y**4/12 + y**3/6 + 8*y - 6. Suppose f(t) = 0. What is t?
-1, 0
Let d(y) be the second derivative of -9*y**5/20 + 13*y**4/4 + 30*y**3 + 66*y**2 + 3*y - 99. Determine x so that d(x) = 0.
-2, -1, 22/3
Solve -6*w + 36/13 + 40/13*w**2 - 6/13*w**3 = 0 for w.
2/3, 3
Let p = 8 + -6. Suppose -3*q + 10 = -c, -p*q + 0*c + c = -7. Solve 4*l - 2*l**5 + 0*l**5 + 4*l**q - 6*l = 0 for l.
-1, 0, 1
Solve 2/11*w**5 + 2*w**3 + 0 + 12/11*w**2 + 0*w + 12/11*w**4 = 0 for w.
-3, -2, -1, 0
Factor -8/5*y**2 - 64/5 - 1/10*y**3 - 8*y.
-(y + 4)**2*(y + 8)/10
Suppose -12*p + p = 0. Let h be (2/(-4))/(p + -1). Find w, given that 0 + h*w - 1/2*w**2 = 0.
0, 1
Let d(r) = -2*r**2 + r**3 - r + 0*r**2 + 3*r - 2 + 0*r**2. Let a be d(2). Find x such that -7*x**2 + 10*x**a - 2*x + 2*x = 0.
0
Let b(m) be the first derivative of 5*m**4/12 - 10*m**3/9 - 5*m**2/6 + 10*m/3 - 69. Solve b(t) = 0.
-1, 1, 2
Let h(f) be the third derivative of 13/40*f**4 - 14*f**2 + 3/20*f**5 - 1/5*f**3 + 0 + 0*f. Find m, given that h(m) = 0.
-1, 2/15
Let q(x) be t