+ 2)/4
Let u be 32/(-18) - (6 + -8). Factor -4/9*i**3 + 0*i - u*i**4 - 2/9*i**2 + 0.
-2*i**2*(i + 1)**2/9
Let k = 48 - 95/2. Let y(a) be the first derivative of 1/12*a**4 - k*a**2 - 2/3*a + 2 + 0*a**3. Factor y(p).
(p - 2)*(p + 1)**2/3
Let i be (-136)/2*(-12)/48. Find q, given that i*q**4 + 4*q**3 - 44*q**2 - 5*q**4 - 7*q - 16 + 55*q - 4*q**5 = 0.
-2, 1, 2
Let d(b) be the third derivative of b**5/90 - 5*b**4/36 + 4*b**3/9 + 3*b**2. Let d(t) = 0. Calculate t.
1, 4
Suppose -4*z = -4*h - 6*z, -4*z = 5*h + 3. Factor -8*l**3 + 6*l + 5 - h + 6*l**3.
-2*(l - 2)*(l + 1)**2
Let h(m) be the third derivative of 1/30*m**5 - 1/6*m**4 + 0*m**3 + 0*m + 0 + 3/20*m**6 + 5/168*m**8 + m**2 - 13/105*m**7. Factor h(w).
2*w*(w - 1)**3*(5*w + 2)
Let k(w) be the third derivative of -w**5/270 - w**4/54 - w**2. Solve k(s) = 0.
-2, 0
What is q in 0 - 16/5*q**2 + 7/5*q**4 + q**3 + 4/5*q = 0?
-2, 0, 2/7, 1
Let d = -191305298473/2853 + 67054082. Let s = 1/317 - d. Factor 4/3*u**4 - s*u + 8/3*u**2 + 0 - 2/9*u**5 - 26/9*u**3.
-2*u*(u - 2)**2*(u - 1)**2/9
Let h be 1*(-3)/6*-10. Let p = h - 9/2. Find x, given that 0 - p*x**2 + 1/4*x**3 + 1/4*x = 0.
0, 1
Factor 54*p**2 - 107*p**2 + 51*p**2 - 8 - 8*p.
-2*(p + 2)**2
Find d such that -11*d - 4 + 4 + 5*d + 3*d**2 = 0.
0, 2
Let d = 2 + 2. Factor -d*f**2 - 2*f**4 - 4*f**2 - 2 - 3*f**2 - 8*f - 8*f**3 - f**2.
-2*(f + 1)**4
Let i(s) be the third derivative of -s**6/480 + s**5/240 + s**4/96 - s**3/24 + 12*s**2. Let i(r) = 0. Calculate r.
-1, 1
Let g(m) be the first derivative of m**5/60 + 3*m + 2. Let w(x) be the first derivative of g(x). Find j such that w(j) = 0.
0
Let w(i) = -i**4 - i**3 - i + 1. Let s(x) = -x**5 + x**4 + x**3 - 4*x**2 - 2*x + 3. Let t(g) = s(g) - w(g). Factor t(f).
-(f - 2)*(f - 1)**2*(f + 1)**2
Let f(g) = -6*g**2 + 8*g - 7. Suppose -7 = -m - 4*i, -3*m + 7*m - 3*i - 28 = 0. Let u(a) = 5*a**2 - 7*a + 6. Let w(t) = m*u(t) + 6*f(t). Factor w(y).
-y*(y + 1)
Factor -21/2*v**5 + 0*v + 2*v**3 - 4*v**4 + 0 + 0*v**2.
-v**3*(3*v + 2)*(7*v - 2)/2
Let v be (-21)/(-4) - 1/4. Let t = v + -2. Determine c, given that -12*c**2 - 14 - 2*c**t - 2 - 8*c - 16*c = 0.
-2
Let l(u) be the first derivative of 2*u**3/69 - u**2/23 + 13. Factor l(p).
2*p*(p - 1)/23
Let v be 12/16 + 53/4. Let n be ((-8)/(-28))/(2/v). Determine r, given that -8/5 - 8/5*r - 2/5*r**n = 0.
-2
Factor 1/4*j - 1/4*j**5 - 1/2*j**2 + 0*j**3 + 0 + 1/2*j**4.
-j*(j - 1)**3*(j + 1)/4
Let a(c) = -9*c**5 - 9*c**4 - 37*c**3 + 21*c**2 + 20*c + 1. Let q(d) = -4*d**5 - 4*d**4 - 18*d**3 + 10*d**2 + 10*d. Let n(h) = -6*a(h) + 13*q(h). Factor n(s).
2*(s - 1)**3*(s + 1)*(s + 3)
Let j(t) be the second derivative of -t**5/420 + t**4/56 - t**3/21 - t**2/2 - 2*t. Let a(l) be the first derivative of j(l). Factor a(s).
-(s - 2)*(s - 1)/7
Let m(q) = 15 + q**4 + q**4 + q**4 - 6*q**2 + 0*q**4. Let w(o) = 1. Let c(a) = m(a) - 12*w(a). Factor c(u).
3*(u - 1)**2*(u + 1)**2
Let d = -250 - -250. Factor 4/7*x**3 - 10/7*x**4 + 0*x + 0*x**2 + d.
-2*x**3*(5*x - 2)/7
Factor 5/7*b**2 + 3/7 + 1/7*b**3 + b.
(b + 1)**2*(b + 3)/7
Factor 2*z**2 + 17*z - 3*z**2 - 20*z.
-z*(z + 3)
Let g(y) be the third derivative of y**7/420 - y**5/60 - y**3/2 - y**2. Let d(t) be the first derivative of g(t). Factor d(l).
2*l*(l - 1)*(l + 1)
Factor 8*g**2 + 8*g**4 - 5*g**3 - g**5 + 3*g**5 + 2*g + 17*g**3.
2*g*(g + 1)**4
Let o(n) be the second derivative of -49*n**6/90 + 77*n**5/60 - 8*n**4/9 + 2*n**3/9 + 9*n. Find h such that o(h) = 0.
0, 2/7, 1
Let m(l) = -l**3 - 3*l**2 + 2*l - 4. Let d(h) = h + 2. Let p be d(-6). Let k be m(p). Factor 3*c**k + 0*c**4 - c**4.
2*c**4
Let j(q) be the third derivative of 0*q + 0*q**3 + 1/1344*q**8 + 0 + 1/240*q**5 - 1/840*q**7 - 6*q**2 - 1/480*q**6 + 0*q**4. Solve j(x) = 0.
-1, 0, 1
Let k be (-4)/(-6) - (-60)/18. Suppose k*x - 3 = 13. Determine m, given that -1/3*m**3 - 1/3*m**2 + 1/3*m**5 + 0*m + 0 + 1/3*m**x = 0.
-1, 0, 1
Suppose -3*w + 2*i = -2*i - 2, 0 = -4*w + 3*i + 12. Factor 31*v**2 - 4*v + w - 33*v**2 + 0.
-2*(v - 1)*(v + 3)
Suppose 2 - 3 + 1 - r**2 - r**3 = 0. Calculate r.
-1, 0
Let -16*t**2 + 10*t + 12*t**3 + 8*t**3 - 9*t**2 - 5*t**4 = 0. What is t?
0, 1, 2
Suppose -15 = -2*t - 3*l, 2*t = -t + 4*l - 20. Factor -1/2*b**2 + 1/2*b**3 + t - b.
b*(b - 2)*(b + 1)/2
Let a(g) be the second derivative of -g**5/10 + 5*g**4/6 - 8*g**3/3 + 4*g**2 - 10*g. Factor a(r).
-2*(r - 2)**2*(r - 1)
Determine r so that -5*r**2 + 9*r - 16 + 16 + 2*r**2 = 0.
0, 3
Factor -8*w**3 - 3*w**2 - 4*w**3 + 2*w**2 + 11*w**3.
-w**2*(w + 1)
Let d(l) be the third derivative of -l**8/336 - l**7/126 + l**6/360 + l**5/36 + l**4/36 - 15*l**2. Find i, given that d(i) = 0.
-1, -2/3, 0, 1
Let i = 671/8 - 84. Let l = 5/8 + i. Factor 1/4*m**3 + 0*m - l*m**4 + 0 + 0*m**2 + 1/4*m**5.
m**3*(m - 1)**2/4
Let i(w) be the second derivative of w**6/35 + 4*w**5/35 + w**4/7 - w**2/7 - 10*w. Let i(m) = 0. Calculate m.
-1, 1/3
Let h = 21/58 + 4/29. Solve -k**3 + h*k**4 + 0 + k - 1/2*k**2 = 0 for k.
-1, 0, 1, 2
Suppose 2*f - 1 = 3. Factor 2*x**f + 0 + 3*x**2 - 4*x**2 - 1.
(x - 1)*(x + 1)
Let t(u) = 19*u**2 - 1. Let p be t(1). Let d(w) = w**2 - w - 1. Let o(j) = -8*j**2 + 9*j + 8. Let y(g) = p*d(g) + 2*o(g). Factor y(n).
2*(n - 1)*(n + 1)
Suppose -8/13*l - 6/13 - 2/13*l**2 = 0. Calculate l.
-3, -1
Factor -8/3*n - 8/3 + 2/3*n**3 + 2/3*n**2.
2*(n - 2)*(n + 1)*(n + 2)/3
Let b(q) = -q**3 + 7*q**2 + 9*q + 2. Let c be b(8). Let x = -6 + c. Let x*g**3 - g + 2 - 3*g - 3*g**2 - 2*g**4 + 3*g**2 = 0. Calculate g.
-1, 1
Let m(k) = -1. Let g(j) = j. Let b(z) = g(z) - 3*m(z). Let o be b(-3). Determine i, given that o*i**2 + i - 3*i**2 - i**2 + 2*i**3 + i = 0.
0, 1
Let a be (-352)/(-16) - (-3 - 0). Let x be -1 - (-5)/(a/7). Factor -x*v**2 + 0 + 4/5*v.
-2*v*(v - 2)/5
Suppose 4 + 4 = 2*y. Suppose -y*p + 2*w + 12 = 0, 2*p - w = 3*p. Let 2/7 - 2/7*b**p + 2/7*b**3 - 2/7*b = 0. Calculate b.
-1, 1
Suppose 2*g - 33 = 5*n, 3*n - 5 = -5*g - 0. Let 2*y**3 - 2*y**5 + 4*y**4 + 2*y**2 - 3*y**4 + y**4 - 4*y**g = 0. Calculate y.
-1, 0, 1
Suppose 0 = 2*x - 2*a - 14, -x + 5*a + 39 = 12. Suppose x*u**3 + 2*u - 7*u**3 + 3*u**5 - u**5 + u**3 = 0. What is u?
-1, 0, 1
Factor 0*j**2 + 2/3*j**3 + 0 - 2/3*j.
2*j*(j - 1)*(j + 1)/3
Let h be ((-32)/(-30) - 18/45) + 0. Factor -10/3*y**2 - 2/3*y**5 + 2*y**3 + h*y**4 + 0 + 4/3*y.
-2*y*(y - 1)**3*(y + 2)/3
Let r = -6910 + 55175/8. Let x = r - -557/40. Factor -2/5*l - x*l**2 + 0 - 2/5*l**3.
-2*l*(l + 1)**2/5
Factor 0*t + 0 + 1/8*t**2 - 1/8*t**3.
-t**2*(t - 1)/8
Suppose 15*g = g - 16*g. Factor -3/2*q**2 + g*q + 3/2.
-3*(q - 1)*(q + 1)/2
Let x(c) be the second derivative of c**5/20 + c**4/6 - c**3/6 - c**2 + 30*c. Factor x(y).
(y - 1)*(y + 1)*(y + 2)
Let t(w) be the second derivative of -w**6/10 + 3*w**5/20 - w. Factor t(h).
-3*h**3*(h - 1)
Determine q so that 32/9*q + 4/9*q**2 - 32/9*q**3 - 10/9 + 2/3*q**4 = 0.
-1, 1/3, 1, 5
Let a be 1 + (-15)/20 - 1/(-4). Factor -1/4*z**4 + 1/4*z**3 + 3/4*z**2 - 5/4*z + a.
-(z - 1)**3*(z + 2)/4
Let i be (-1 - (4 - 2))*-1. Suppose 0 = -i*o + 6 + 3. Factor 3*d - d + d**2 - o*d.
d*(d - 1)
Let u(k) = -k**3 - k**2. Let s(f) = -4*f**3 - 7*f**2 + f. Let j(c) = -c. Let b be j(-1). Let o(y) = b*s(y) - 5*u(y). Factor o(p).
p*(p - 1)**2
Let d(w) be the third derivative of w**5/140 + w**4/56 - 4*w**2. Factor d(r).
3*r*(r + 1)/7
Let b = -27 - -43. Let l = b - 29/2. What is f in 1/4*f + 9/4*f**3 + f**4 + l*f**2 + 0 = 0?
-1, -1/4, 0
Let z be 7/((-210)/(-12)) - 4/10. Let r(a) be the first derivative of 3/8*a**2 - 1/16*a**4 + z*a**3 + 1 - 1/2*a. Factor r(k).
-(k - 1)**2*(k + 2)/4
Let z = -6 - -9. Let x = 61 - 423/7. Factor 2/7*f**z - x - 6/7*f + 0*f**2.
2*(f - 2)*(f + 1)**2/7
Let u(d) be the second derivative of -d**5/60 + 2*d**4/9 - 8*d**3/9 + 17*d. Find c such that u(c) = 0.
0, 4
Let p(q) be the second derivative of 0*q**3 + 0*q**6 - 1/40*q**5 + 0*q**2 + q + 0 + 0*q**4 + 1/84*q**7. Factor p(n).
n**3*(n - 1)*(n + 1)/2
Factor 69*c - 3*c**4 - c**3 - 75*c + 7*c**3 + 3*c**2.
-3*c*(c - 2)*(c - 1)*(c + 1)
Let n be (-24)/21*56/(-48). Let c(d) be the second derivative of 1/6*d**4 - n*d**3 + 4*d**2 - 2*d + 0. Factor c(o).
2*(o - 2)**2
Let j = 2197/18 - 122. Let k = 1/6 + j. Suppose 0 - 2/9*t - k*t**2 + 2/9*t**3 + 2/9*t**4 = 0. What is t?
-1, 0, 1
Let j be ((-6)/4)/((-9)/244). Let a = j - 40. Let a*w**5 + 1/3*w**3 + 0 + 0*w**2 + w**