0.
-1, 0, 6
Suppose -28*w = -30*w + 42. Factor -30*m**2 + 369*m + w*m**4 - 120*m**3 - 2*m**5 + 130*m**2 - 119*m + 7*m**4.
-2*m*(m - 5)**3*(m + 1)
Let u(l) = l**3 - 3*l**2 + 3. Let b be u(3). Suppose 0 = -0*j + 3*j - b. Let 7 - 2*o**2 - 4*o - 6 - j = 0. Calculate o.
-2, 0
What is p in 132/5*p**5 + 904/5*p**4 + 2173/5*p**3 + 108/5 + 936/5*p + 2247/5*p**2 = 0?
-3, -3/2, -2/3, -2/11
Let v(z) be the first derivative of 21*z**3/5 + 39*z**2/2 + 18*z/5 - 752. Suppose v(g) = 0. Calculate g.
-3, -2/21
Let j(q) be the third derivative of -q**6/360 + q**5/20 - 5*q**4/24 - 25*q**3/18 - 5*q**2 + 3. Factor j(g).
-(g - 5)**2*(g + 1)/3
Suppose 0 = 6*n - n - 20. Suppose -3*q + 2*o + 32 = -0*q, 44 = 4*q - n*o. Factor -j**3 - q - j**2 + 18 + 4*j - 4.
-(j - 2)*(j + 1)*(j + 2)
Let p = 233 - 233. Let g(k) be the third derivative of 0 + p*k + 0*k**5 + 1/1344*k**8 + k**2 + 0*k**4 + 0*k**3 - 1/480*k**6 + 0*k**7. Solve g(z) = 0.
-1, 0, 1
Let v(j) be the second derivative of 1/120*j**6 + 16*j - 1/80*j**5 + 0*j**2 + 1/168*j**7 + 0*j**3 + 0 - 1/48*j**4. Determine q so that v(q) = 0.
-1, 0, 1
Let j(g) = -5*g**2 + 18 + 12 - 5 - 4 + 10*g. Let q(y) = -1. Let k(n) = j(n) + 6*q(n). Factor k(r).
-5*(r - 3)*(r + 1)
Suppose 5*s - 5*y = 7*s - 18, 4*s - 14 = y. Factor -2*g**3 + g**2 - 17*g**s + 3*g**2 + 13*g**4 + 6*g - 4*g**3.
-2*g*(g - 1)*(g + 1)*(2*g + 3)
Let y(h) be the third derivative of -h**8/168 - 47*h**7/105 - 527*h**6/60 + 623*h**5/30 + 44*h**4 - 192*h**3 - 534*h**2. Find n such that y(n) = 0.
-24, -1, 1
Suppose 8*f + 8 = 12*f. Suppose 1 + f = b. Solve 3 + 2 - n - 5 + n**b = 0 for n.
-1, 0, 1
Suppose 6 - 4 = g. Determine b, given that -144*b**4 - 282*b**g - 45 - 78*b + 21 - 291*b**3 - 54*b - 27*b**5 = 0.
-2, -1, -2/3
Let w(d) be the first derivative of -3/14*d**4 + 0*d + 2/7*d**3 + 2/35*d**5 - 5 - 1/7*d**2. Factor w(o).
2*o*(o - 1)**3/7
Let i(a) be the third derivative of -7*a**5/270 - 11*a**4/108 - 4*a**3/27 + 9*a**2 - 8*a. Factor i(h).
-2*(h + 1)*(7*h + 4)/9
Suppose 17 = 5*i + x, 4*x - 38 + 30 = 0. Factor 2/9*p**2 + 0*p - 10/9*p**4 - 2/3*p**5 - 2/9*p**i + 0.
-2*p**2*(p + 1)**2*(3*p - 1)/9
Let u be 4*(-3 + 7) - 1. Suppose -5*w + u + 0 = 0. Factor 9 + 11 - 1 + o**2 + 8*o - w.
(o + 4)**2
Suppose 3*f - 58 = -4*a, 5*f - 2*a = -4*a + 78. Suppose -1 = 2*x + 3*h - f, 0 = 4*x + h - 11. Factor 1/5*l**3 - 2/5*l**x + 0 + 0*l.
l**2*(l - 2)/5
Determine x, given that 504 - 31*x**4 + 452*x**2 - 33*x**4 + 876*x + 84*x**3 + 68*x**4 = 0.
-14, -3, -1
Let g(t) be the third derivative of t**7/5040 - t**6/360 + t**5/60 + t**4/24 + 9*t**2. Let n(i) be the second derivative of g(i). Find y, given that n(y) = 0.
2
Let o(z) be the first derivative of -4*z**5/35 - 64*z**4/7 - 500*z**3/21 - 124*z**2/7 + 451. Determine l, given that o(l) = 0.
-62, -1, 0
Suppose -2*a = -0*s + 4*s - 4, -5*a = 5*s - 10. Find m, given that 2 - 3*m + 144*m**2 - 326*m**2 + 155*m**a = 0.
-1/3, 2/9
Let k(q) be the first derivative of q**5/15 - 5*q**4/12 + 8*q**3/9 - 2*q**2/3 - 317. Factor k(f).
f*(f - 2)**2*(f - 1)/3
Factor -2*s + 2/3*s**2 + 0 + 4/3*s**3.
2*s*(s - 1)*(2*s + 3)/3
Let x(b) be the third derivative of b**7/1680 - b**6/480 - b**5/480 + b**4/96 - 4*b**2 - 1. Determine g, given that x(g) = 0.
-1, 0, 1, 2
Let v = 2839/235 + -32/47. Factor -99/5*a**2 - v*a**3 - 9/5*a**4 + 0 - 27/5*a.
-3*a*(a + 3)**2*(3*a + 1)/5
Let g(d) be the second derivative of -23*d + 1/15*d**6 - 1/30*d**4 + 8/15*d**3 + 0 - 7/50*d**5 - 1/105*d**7 - 4/5*d**2. Determine k so that g(k) = 0.
-1, 1, 2
Factor 4/5*u**3 - 16/5*u + 12/5*u**2 + 0.
4*u*(u - 1)*(u + 4)/5
Suppose 1/2*f**3 - 75/2*f**2 - 142 + 144*f = 0. Calculate f.
2, 71
Let k(v) be the third derivative of -v**8/20160 + v**7/1680 + 3*v**5/20 - 8*v**2. Let h(t) be the third derivative of k(t). Factor h(z).
-z*(z - 3)
Let x(d) = d**2 + 2*d - 1. Let j(r) = r**3 - 8*r**2 + 5*r + 8. Let k(s) = j(s) - 3*x(s). Find w, given that k(w) = 0.
-1, 1, 11
Let v be (0 - 3) + 4/(-12)*-24. Determine q, given that 554 - 84*q - 16*q - 54 + v*q**2 = 0.
10
Let b(i) be the first derivative of -2*i**3/21 + 122*i**2/7 - 7442*i/7 + 131. Factor b(n).
-2*(n - 61)**2/7
Suppose 5*s - 56 = -4*x, x + 2*x + 63 = 5*s. Let -396*k**3 + 400*k**3 - 1 + 3*k**5 + 19*k**4 - s*k**2 + 1 = 0. Calculate k.
-6, -1, 0, 2/3
Let r(o) = o**3 + 6*o**2 + 4*o + 79. Let p be r(-7). Factor -6/5*q**3 + 6/5*q**4 + 0 - 2/5*q**5 + 0*q + 2/5*q**p.
-2*q**2*(q - 1)**3/5
Let a(h) be the third derivative of h**6/160 - h**5/80 - 62*h**2 - 2. Factor a(z).
3*z**2*(z - 1)/4
Let r(x) = 10*x**3 - 495*x**2 - 55*x - 110. Let y(o) = o**3 - 55*o**2 - 6*o - 12. Let w(d) = -6*r(d) + 55*y(d). Factor w(l).
-5*l**2*(l + 11)
Let i = -1987 - -29821/15. Determine l, given that -2/15 - i*l**2 + 8/15*l**3 + 2/3*l = 0.
1/2, 1
Let p = 207 + -207. Let w(t) be the third derivative of 1/15*t**6 + 2/105*t**7 + 9*t**2 + p*t**3 + 0*t + 0 + 0*t**4 + 1/15*t**5. Determine u so that w(u) = 0.
-1, 0
Suppose 0 = 2*f - 8 + 4. Let k be -4*((-2)/2)/2. Factor k*i - 4*i + i + f*i**3 - i.
2*i*(i - 1)*(i + 1)
Let m(i) = i**3 + 26*i**2 + 16. Suppose -10*g = -15*g - 130. Let c be m(g). Factor 1/4*p**4 + 0 - c*p + 12*p**2 - 3*p**3.
p*(p - 4)**3/4
Let f(r) be the second derivative of r - 1/2*r**4 - 2/3*r**3 + 0*r**2 + 0 - 1/10*r**5. Find s such that f(s) = 0.
-2, -1, 0
Let k = -5085 + 5087. Factor -6*b + 8/5 + 7/5*b**k.
(b - 4)*(7*b - 2)/5
Suppose -21 = -8*g + 3. Suppose -2*s + 4*n = -20, 2*s + g*s + 3*n = -15. Solve 0 + 1/4*x**4 - 1/4*x**2 - 1/4*x**3 + 1/4*x**5 + s*x = 0.
-1, 0, 1
Let b be 6 + (-4 + (-322)/(-77))*-11. Find w, given that 2/15*w**2 - 2/15*w + 2/15*w**3 - 2/15*w**b + 0 = 0.
-1, 0, 1
Suppose -8*y = -10*y + 3*q - 3, -5*q + 5 = -y. Let k(v) be the second derivative of -10*v + 13/28*v**4 - 3/7*v**5 + 0*v**2 + y - 1/7*v**3. Solve k(x) = 0.
0, 1/4, 2/5
Let m be 2 + 15/(-6) - (-1287)/30. Let d = m - 42. Factor 2/15*n**2 + d*n + 4/15.
2*(n + 1)*(n + 2)/15
Let b(f) be the second derivative of 0 - 1/4*f**4 - 9*f + 0*f**2 - 3/2*f**3. Solve b(l) = 0.
-3, 0
Let d(t) be the first derivative of t**4/8 - 17*t**3/18 - 8*t**2/3 + 14*t/3 + 163. Solve d(g) = 0 for g.
-2, 2/3, 7
Let d(h) be the second derivative of h**5/300 - h**4/60 + 25*h**2/2 + 12*h. Let j(i) be the first derivative of d(i). Factor j(a).
a*(a - 2)/5
Let k = -578/215 - -150/43. Let 0*l - 2/5*l**4 - k*l**3 + 0 + 0*l**2 = 0. Calculate l.
-2, 0
Let p = -40 - -43. Solve 19*f + 19 - p + f**2 + 3*f**2 - 3*f = 0 for f.
-2
Suppose 8*v - 13*v = 19*v. Let h(n) be the second derivative of -1/6*n**4 - 11*n - 4/3*n**2 - 8/9*n**3 + v. Factor h(r).
-2*(r + 2)*(3*r + 2)/3
Determine t, given that 1 - 1/8*t**2 - 1/4*t = 0.
-4, 2
Suppose -7*h = -3*h - 5*h. Let w be (h/(-3 - -1))/1. Suppose w*o + 1/3*o**3 + 1/3*o**5 + 0 + 2/3*o**4 + 0*o**2 = 0. Calculate o.
-1, 0
Let -73*b**3 + 936 + 19*b**3 + 25*b**3 + 25*b**3 + 2*b**4 - 238*b**2 - 696*b = 0. What is b?
-6, 1, 13
Let j(r) be the second derivative of r**6/240 + r**5/40 + 9*r**2 + 9*r. Let z(s) be the first derivative of j(s). Factor z(m).
m**2*(m + 3)/2
Let h = 612 - 606. Let a(r) be the first derivative of 0*r**2 - 1/6*r**h + 1/3*r**3 + 0*r - 1/5*r**5 + 1/4*r**4 - 2. Solve a(o) = 0.
-1, 0, 1
Suppose -2*o + 3*s - 15 = 0, -2*o + 9 = 5*s - 0*s. Let i be (-1)/14*18 - o. Find r such that -i - 2*r**3 + 18/7*r**2 - 6/7*r**4 + 2*r = 0.
-3, -1, 2/3, 1
Let q(t) be the first derivative of -2 + 0*t + 4*t**2 - 7/2*t**4 - 6/5*t**5 + 0*t**3. What is p in q(p) = 0?
-2, -1, 0, 2/3
Suppose -80 - 79 = -5*f - 4*o, -35 = -f - 4*o. Let p = 60 - f. Determine t so that p*t**2 - 26*t**2 + 9*t - 3*t = 0.
-2, 0
Suppose -8*m + 7*m - 1 = 0. Let x be ((-5)/3 - m) + (-16)/(-15). Suppose 2/5*r**3 + 4/5*r**2 + x*r + 0 = 0. Calculate r.
-1, 0
Let p(k) be the second derivative of -1/40*k**5 - 8*k + 1/60*k**6 + 1/72*k**4 + 0*k**3 + 0*k**2 - 1/252*k**7 + 0. Solve p(j) = 0.
0, 1
Let p = -163/2 + 329/4. Let v(x) be the first derivative of 4*x**3 + 6*x - 9 + p*x**4 + 15/2*x**2. Factor v(k).
3*(k + 1)**2*(k + 2)
Suppose -4*o + 6*o = 4. Suppose -q - o*q = -6. Factor 0*t**q - 3 - 6*t**2 + 6*t + t**2 + 2*t**2.
-3*(t - 1)**2
Let j = 54 - 52. Suppose 0*o = j*o - 2*i - 8, -5*i - 20 = -2*o. Factor -1/3*c**5 + 1/3*c**3 + 0*c**4 + 0*c**2 + o + 0*c.
-c**3*(c - 1)*(c + 1)/3
Let t(i) be the first derivative of i**3/6 + 31*i**2/4 + 7. Factor t(s).
s*(s +