1)*(m + 1)/5
Suppose 0 = 2*h + 5*a - 10, 7*h - 2*a = 3*h - 4. Suppose h*t + 14 = -3*t + 5*i, -3*i + 14 = t. Let -4/7*z**t - 2/7*z**3 + 0 - 2/7*z = 0. What is z?
-1, 0
Suppose 52*g - 36 - 33 + 80*g**2 + 36*g**3 + 77 = 0. Calculate g.
-1, -2/9
Let v be 3 - (21/(-35))/((-1)/5). Find h such that 1/2*h**2 + h + v = 0.
-2, 0
Let c(j) = -j**3 - 10*j**2 - 8*j + 12. Suppose -9 = 2*a - a. Let h be c(a). Factor 3*w**3 + 3*w**2 - 6*w + 0*w**2 + 6*w**2 - 6*w**h.
-3*w*(w - 2)*(w - 1)
Suppose 0 = 4*x + 2*s - 22, 0 = -x + 3*s + 6 - 18. Let o = -4 - -6. Factor -x*z**2 + 0 + o*z + 2*z**2 - 1.
-(z - 1)**2
Let q = -10 + 16. Let p(k) be the third derivative of -1/504*k**8 + 0*k**7 + 0*k**3 + 0*k + 1/180*k**q + 0*k**5 + 0*k**4 + k**2 + 0. Factor p(s).
-2*s**3*(s - 1)*(s + 1)/3
Let w(f) be the first derivative of -f**4 - 4*f**3/3 + 8*f**2 + 16*f + 2. Let w(b) = 0. Calculate b.
-2, -1, 2
Factor 4*l**2 - 8 + 3 - 4*l - 3 + 0*l**2.
4*(l - 2)*(l + 1)
Let r(h) be the third derivative of h**8/48 + 37*h**7/210 + 11*h**6/20 + 11*h**5/15 + h**4/3 + 2*h**2. Factor r(q).
q*(q + 1)*(q + 2)**2*(7*q + 2)
Let t(u) be the second derivative of -u**6/15 + 3*u**5/10 - 10*u. Find d such that t(d) = 0.
0, 3
Suppose 6*d - 8 = 16. Let x(a) be the third derivative of 0*a**3 - 1/120*a**6 - a**2 + 0*a + 0*a**d + 0 + 1/60*a**5. Factor x(p).
-p**2*(p - 1)
Let v(n) = -4*n**3 + 60*n**2 - 295*n + 505. Let i(j) = -12*j**3 + 180*j**2 - 886*j + 1514. Let b(y) = -5*i(y) + 14*v(y). Factor b(z).
4*(z - 5)**3
Let g = -4265/42 - -712/7. Factor -g*x**4 - 16*x**2 - 128/3 - 8/3*x**3 - 128/3*x.
-(x + 4)**4/6
Solve 0*a + 0*a**2 + 9/2*a**4 + 0 - 27/4*a**5 - 3/4*a**3 = 0.
0, 1/3
Let w(l) be the third derivative of l**8/112 - l**7/140 - 3*l**6/40 + 7*l**5/40 - l**4/8 - 2*l**2. Find f such that w(f) = 0.
-2, 0, 1/2, 1
Let p be ((-1)/(-2))/((-2)/(-16)). Let u(t) be the third derivative of -t**2 + 0*t**3 + 0*t + 0 + 1/60*t**6 + 0*t**5 - 1/12*t**p. Factor u(k).
2*k*(k - 1)*(k + 1)
Let i(x) be the first derivative of -x**4/18 + 2*x**3/27 + 2*x**2/9 - 2. Factor i(g).
-2*g*(g - 2)*(g + 1)/9
Determine q, given that -q**2 - 1/2 - 9/4*q = 0.
-2, -1/4
Suppose -7*b + 45 = -4*b. Let h be ((-2)/b)/((-6)/10). Factor -224/9*m**3 + 40/3*m**2 + h + 128/9*m**4 - 26/9*m.
2*(m - 1)*(4*m - 1)**3/9
Let q = 35/9 + -94/45. Factor -3/5*z**3 - 3/5 - q*z**2 - 9/5*z.
-3*(z + 1)**3/5
Let t(c) = -10*c**2 + 21*c - 2. Let x be t(2). Determine l so that x + 4/3*l + 2/3*l**2 - 2/3*l**3 = 0.
-1, 0, 2
Let a = 23 + -29. Let p be (-4)/(-1) + 8/a. Factor -8/3*j**4 - 2/3*j - 2/3*j**5 - p*j**2 - 4*j**3 + 0.
-2*j*(j + 1)**4/3
Let l be (1 - 8/10)/(52/195). Factor -3/4*s**4 + l*s + 1/2*s**2 + 1/4 - 1/4*s**5 - 1/2*s**3.
-(s - 1)*(s + 1)**4/4
Let d(p) be the third derivative of p**8/2800 - p**7/350 + p**6/120 - p**5/100 - p**3/6 + 2*p**2. Let j(n) be the first derivative of d(n). Factor j(w).
3*w*(w - 2)*(w - 1)**2/5
Let w be 252/810 - (-2)/(-18). Let f(t) be the first derivative of 2/3*t**3 + 0*t + 3/4*t**4 - 4 + w*t**5 + 0*t**2. Factor f(z).
z**2*(z + 1)*(z + 2)
Let n(k) be the first derivative of -4*k**3/9 + 9. Factor n(m).
-4*m**2/3
Let g be 1/(1 + 12/(-15)). Let i = g - 0. What is k in -k**i + 1 + 2*k**2 + 5*k - 2*k**4 + 1 - 2*k**4 - 4*k**3 = 0?
-2, -1, 1
Suppose 0 = 56*r - 61*r + 10. Determine q so that 0 - 21/2*q**5 + 0*q - 3*q**4 + 0*q**3 + 0*q**r = 0.
-2/7, 0
Let d(g) be the first derivative of g**6/45 - 2*g**5/15 + 7*g**4/30 + 2*g**3/45 - 8*g**2/15 + 8*g/15 + 13. Suppose d(j) = 0. What is j?
-1, 1, 2
Let z be ((-4)/96)/((-4)/16*2). Let h(d) be the first derivative of 0*d**2 + 1/4*d - 1 - z*d**3. Let h(v) = 0. What is v?
-1, 1
Let m be 1/(-8) + 8/64. Factor -1/3*c**4 + 0*c**3 + 1/3*c**2 + m*c + 0.
-c**2*(c - 1)*(c + 1)/3
Factor 10/9*m**2 + 2/9*m**4 - 8/9*m**3 + 0 - 4/9*m.
2*m*(m - 2)*(m - 1)**2/9
Let o(w) be the first derivative of w**6/3 - 8*w**5/5 + 5*w**4/2 - 4*w**3/3 + 9. Factor o(n).
2*n**2*(n - 2)*(n - 1)**2
Let s(z) = -z**3 - z**2 + 2*z. Let g be s(-3). Let n = -6 + g. Solve 8/3*l**3 + n*l**2 + 4*l + 2/3 = 0 for l.
-1, -1/4
Factor 30*l**2 + 45*l + 9*l**3 - 9 + 4*l**3 - 8*l**3 + 29.
5*(l + 1)**2*(l + 4)
Factor -6/5*t**2 - 16/5*t + 6/5.
-2*(t + 3)*(3*t - 1)/5
Let h = -982 + 2971/3. Let p(g) be the first derivative of h*g**3 + 10*g**2 + 4*g + 2. Factor p(a).
(5*a + 2)**2
Let w(c) be the third derivative of -c**6/720 - c**5/120 - c**4/72 - 22*c**2. Factor w(l).
-l*(l + 1)*(l + 2)/6
Let j(n) be the first derivative of n**7/280 + n**6/60 - n**5/40 - n**4/4 + n**3/3 + 4. Let t(h) be the third derivative of j(h). Factor t(w).
3*(w - 1)*(w + 1)*(w + 2)
Determine a so that -8*a**2 + 2*a**5 - 11*a**3 - 8*a**4 + 9*a**3 + 2*a + 14*a**3 = 0.
0, 1
Let o(m) = 4*m**2 + 29*m + 7. Let q(r) = -3*r**2 - 19*r - 5. Let c(l) = -5*o(l) - 7*q(l). Suppose c(z) = 0. What is z?
0, 12
Let g(j) = -j**5 - j**4 + j - 1. Let y(c) = -9*c**5 - 6*c**2 + 9*c - 6. Let b(k) = 6*g(k) - y(k). Factor b(n).
3*n*(n - 1)**3*(n + 1)
Let n(h) be the second derivative of -h**6/18 - h**5/4 - 5*h**4/12 - 5*h**3/18 + 3*h. Factor n(x).
-5*x*(x + 1)**3/3
Let p = 3 - 0. Suppose 0 = -4*n + p*x + 7, 2*n = -0*x + 4*x - 4. Solve 1 + 4*w + w**n + 6*w**2 + 3*w**3 - 2*w**3 + 3*w**3 = 0 for w.
-1
Let h = 26 + -18. Factor -h*v**4 - v + 0*v**4 + 8*v**2 + 5*v + 0*v**4 - 4*v**5.
-4*v*(v - 1)*(v + 1)**3
Suppose 0 = -7*y - 391 + 405. Let 3 + 1/3*l**2 + y*l = 0. Calculate l.
-3
Suppose -7*y = -2*y. Let z(h) be the second derivative of 2*h + y - 1/90*h**6 + 0*h**2 - 1/20*h**5 - 1/12*h**4 - 1/18*h**3. Factor z(x).
-x*(x + 1)**3/3
Let o(k) be the second derivative of -1/3*k**3 + 1/30*k**6 - 1/2*k**2 - 3*k + 0 + 0*k**4 + 1/10*k**5. Suppose o(d) = 0. What is d?
-1, 1
Suppose -5*q = 4 + 1. Let j = 2 - q. Factor 2*c**2 - 3 + 4 - j.
2*(c - 1)*(c + 1)
Let c(g) be the first derivative of g**5 - 5*g**4/2 - 5*g**3/3 + 5*g**2 - 10. Factor c(n).
5*n*(n - 2)*(n - 1)*(n + 1)
Let b be (5 - 0)/(3 - 2). Let v(q) be the second derivative of 0*q**3 - 1/105*q**7 + 1/50*q**b + 0*q**2 + 0 + 1/75*q**6 + 2*q - 1/30*q**4. Factor v(i).
-2*i**2*(i - 1)**2*(i + 1)/5
Let h(v) = -102*v. Let u be h(1). Let d = u - -317/3. Determine r, given that -d*r**2 + 0 + 4*r**5 - 2/3*r + 11/3*r**4 - 10/3*r**3 = 0.
-1, -2/3, -1/4, 0, 1
Let g(z) = -z**3 - z**2 + 4*z - 2. Let d(w) = w - 1. Let m(t) = -6*d(t) + 2*g(t). Factor m(v).
-2*(v - 1)*(v + 1)**2
Let y(h) be the third derivative of -h**5/180 + h**4/144 + h**3/12 - 2*h**2. Factor y(u).
-(u + 1)*(2*u - 3)/6
Let k(v) be the first derivative of 0*v - 1/2*v**4 + 1 - 1/3*v**3 - 1/15*v**6 - 3/2*v**2 - 3/10*v**5. Let g(i) be the second derivative of k(i). Factor g(d).
-2*(d + 1)**2*(4*d + 1)
Suppose -o - 2*o = 0. Let p be (-30)/(-7) + (6 - 11) + 1. Solve 2/7*c**4 + p*c**2 + o + 0*c - 4/7*c**3 = 0.
0, 1
Let j = -950/3 + 330. Factor -j*y**2 - 4/3*y - 27*y**4 + 0 - 39*y**3.
-y*(y + 1)*(9*y + 2)**2/3
Let i(f) be the third derivative of 0*f**3 + 7*f**2 + 0*f - 1/30*f**5 + 1/105*f**7 + 0*f**4 + 1/336*f**8 + 0 - 1/120*f**6. Suppose i(m) = 0. What is m?
-2, -1, 0, 1
Suppose 8 = -8*k + 12*k. Let q(f) be the second derivative of 0*f**3 + 1/12*f**4 + 0 - 2*f - 1/2*f**k. Factor q(v).
(v - 1)*(v + 1)
What is y in 1/2*y + 0 + 1/2*y**2 = 0?
-1, 0
Suppose 2*q = -4*d - 24 - 26, 2*d + 28 = -4*q. Let r = 25/2 + d. Factor 1/4*o**2 + r*o**3 + 1/4*o**4 + 0*o + 0.
o**2*(o + 1)**2/4
Let m(f) be the third derivative of -f**7/1680 - f**6/480 + f**4/96 - f**3/3 + f**2. Let d(g) be the first derivative of m(g). Factor d(z).
-(z + 1)**2*(2*z - 1)/4
Let x = 6 + -18. Let a be x/15*(-10)/36. Suppose 2/9*s**2 + a*s + 0 = 0. What is s?
-1, 0
Let t be ((-8)/(-3) - 3)*-6. Suppose 0 + 4*y**t + 6 + 9*y - y**2 = 0. Calculate y.
-2, -1
Let c(n) be the third derivative of -2*n**7/15 + 23*n**6/30 + 22*n**5/15 - 4*n**4/3 + 26*n**2. Let c(f) = 0. Calculate f.
-1, 0, 2/7, 4
Suppose -2 + 0 = -f. Let z(y) be the third derivative of 0*y**3 + 0*y + 0 - 1/110*y**5 + y**f - 1/66*y**4. Suppose z(o) = 0. Calculate o.
-2/3, 0
Let a = -519 - -521. Determine q, given that -2/3*q**a + 0 + 2/3*q = 0.
0, 1
Suppose 3*m = -s - 11, s + 4*s = -m + 15. Let y(p) = -p**2 + 6. Let t(h) = -3*h**2 + 1 + 2*h**2 + 7 - 3. Let z(q) = s*y(q) - 5*t(q). Factor z(l).
(l - 1)*(l + 1)
Factor 44 - 12 + 29*b + 8*b + 31*b + 40*b**2 + 4*b**3.
4*(b + 1)**2*(b + 8)
Let r(v) be the first de