 + 0 - 1/90*k**6 + 0*k**2. Find m such that a(m) = 0.
-1, 0
Let w(b) = -2*b - 2. Let y be w(-2). Suppose -5*k + 12 = -8, -5*k = -3*f - 20. Factor f - l**3 - 3*l + 0 + l - 3*l**y.
-l*(l + 1)*(l + 2)
Let g be -9 + 783/63 - 3. Let t = 3331/7 - 475. Factor g*y**2 - 3/7*y - t.
3*(y - 2)*(y + 1)/7
Factor 2*b**5 + 5*b**4 - 6*b**5 - 21*b**4 - 12*b**2 - 4*b - 4*b**2 - 24*b**3.
-4*b*(b + 1)**4
Let s(f) be the first derivative of f**6/120 - f**5/40 - f**3 + 3. Let q(p) be the third derivative of s(p). Factor q(h).
3*h*(h - 1)
Let z be ((-27)/(-18))/(3/4). Factor z*f**2 - f - f**2 + 3*f + 1.
(f + 1)**2
Let x(s) = -6*s. Let r be x(1). Let p(z) = z. Let l(c) = -c**2 - 6*c. Let n(b) = r*p(b) - l(b). Find m, given that n(m) = 0.
0
Suppose 12 = 5*f - f. Let t(q) be the first derivative of -2/7*q**2 + 2/21*q**f + 0*q + 1. Let t(v) = 0. What is v?
0, 2
Let -5*o - 20*o**2 + 23*o**2 + 4*o - 6 - 2*o = 0. Calculate o.
-1, 2
Solve -10/11 + 2/11*g**3 - 6/11*g**2 - 18/11*g = 0 for g.
-1, 5
Find u such that -6*u**4 + 66/7*u**3 + 0 + 6/7*u + 8/7*u**5 - 38/7*u**2 = 0.
0, 1/4, 1, 3
Let c(j) be the second derivative of j**6/225 + j**5/75 - j**4/90 - 2*j**3/45 - 3*j. Factor c(q).
2*q*(q - 1)*(q + 1)*(q + 2)/15
Suppose 5*j - 3*m + 12 = 0, m - 8 = -m. Factor j*x - 1/3 + 1/3*x**2.
(x - 1)*(x + 1)/3
Let z = -575234/4837 - -46/691. Let l = z - -120. Determine w, given that -l*w**4 - 2/7*w + 0 + 2*w**3 - 4/7*w**2 = 0.
-1/4, 0, 1
Let l(i) be the second derivative of -3/20*i**5 + 3*i**2 + 0 + 3*i + i**4 - 5/2*i**3. Solve l(s) = 0.
1, 2
Suppose -1 + 3 - 6 + 6 - 2*m**2 = 0. Calculate m.
-1, 1
Let j(w) be the second derivative of -w**5/16 - 13*w**4/48 - w**3/6 + w**2/2 - 19*w. Factor j(c).
-(c + 1)*(c + 2)*(5*c - 2)/4
Let p(t) be the second derivative of t**9/15120 + t**8/3360 - t**6/360 - t**5/120 + t**4/4 - t. Let n(k) be the third derivative of p(k). Factor n(x).
(x - 1)*(x + 1)**3
Let q be 1/(1/(-20)*-4). Let w(g) be the third derivative of 0 + 1/120*g**6 + 0*g + 0*g**q + 0*g**3 + 2*g**2 - 1/24*g**4. Solve w(y) = 0.
-1, 0, 1
Suppose -2*l - 2 = -10. Let -10*s**4 - 12*s**3 + 16*s + l - 36*s**2 - 6 + 16*s**3 + 28*s**3 = 0. What is s?
1/5, 1
Suppose -32/11*x**2 + 32/11*x**4 - 14/11*x**5 + 6/11*x**3 + 0 + 8/11*x = 0. Calculate x.
-1, 0, 2/7, 1, 2
Find p such that -1/4*p + 1/4*p**3 + 1/4*p**2 - 1/4 = 0.
-1, 1
Suppose 2*a - 7 = -1, -2*w = 3*a - 9. Factor w + h**2 + 1/3*h**4 - h**3 - 1/3*h.
h*(h - 1)**3/3
Find a, given that 1/4*a**4 - 3/4*a**2 + 0*a + 1/2*a**3 + 0 = 0.
-3, 0, 1
Factor 0 - 3/4*z + 1/4*z**2.
z*(z - 3)/4
Let q(x) = 70*x**4 + 55*x**3 - 475*x**2 + 560*x - 155. Let a(v) = 5*v**4 + 4*v**3 - 34*v**2 + 40*v - 11. Let p(l) = 55*a(l) - 4*q(l). Find u such that p(u) = 0.
-3, 1
Let w(i) = 2*i**3 - 2*i**3 + 2*i**3. Let t be w(1). Find n such that -n**3 - 2*n - t*n**2 - 3*n + 4*n = 0.
-1, 0
Let r(v) be the first derivative of -5*v**4/14 + 64*v**3/21 - 37*v**2/7 + 20*v/7 + 63. Solve r(m) = 0.
2/5, 1, 5
Suppose 5*x - 16 = -2*j + 4*j, 0 = -2*j + x. Factor 10*n - 3*n - 9*n**2 - j - n**4 + 8*n**3 - 3*n**3.
-(n - 2)*(n - 1)**3
Let v be ((-10)/6)/(1/(-3)). Suppose 0 = 5*r - v*s, -4*r = -s - 4*s + 3. Factor -2*a**2 - 2*a**2 + r - 1 + 2*a**4.
2*(a - 1)**2*(a + 1)**2
Let s(m) = 126*m**3 + 440*m**2 - 177*m + 21. Let f(x) = -127*x**3 - 440*x**2 + 178*x - 22. Let u(r) = -5*f(r) - 6*s(r). Let u(l) = 0. What is l?
-4, 2/11
Let g = 8 + -1. Let y = -5 + g. Factor 0 + 1/2*f**3 + 0*f**y + 0*f.
f**3/2
Suppose 0*v = -2*v + 8. Suppose 2*y - p - v = 0, y - 2 = -p - p. Suppose -2*r + 2/3*r**2 + y*r**3 - 2/3 = 0. What is r?
-1, -1/3, 1
Solve 8/3*o**4 + 0 - 2/3*o**3 - 8/3*o**2 + 2/3*o = 0 for o.
-1, 0, 1/4, 1
Suppose -3*v + 6 = -4*i - 3, 0 = -5*v + 4*i + 15. Let j be (v/(-2))/((-2)/4). Factor l + j*l**2 + l**3 + l + 0*l**2.
l*(l + 1)*(l + 2)
Solve -2*t**4 + t**2 + 0*t**4 - 2*t**3 + t**4 + 2*t**4 = 0 for t.
0, 1
Let j(t) be the first derivative of -t**4 + 2*t**3/3 + 3*t**2 + 6. Solve j(l) = 0 for l.
-1, 0, 3/2
Let z(g) = -3*g - 1. Let w(b) = -15*b - 5. Let a(r) = -2*w(r) + 11*z(r). Let s be a(-1). Solve -4/9*h**4 + 0 + 2/9*h - 2/9*h**5 + 4/9*h**s + 0*h**3 = 0 for h.
-1, 0, 1
Let n(b) = -7*b**3 + 2*b**2 + 2*b + 1. Let j be n(-1). Let f = -6 + j. Factor -1/2*k**f - k - 1/2.
-(k + 1)**2/2
Factor -13*p + 37*p - 48 + 2*p**2 + 120.
2*(p + 6)**2
Let z(b) be the second derivative of b**7/147 - 4*b**6/105 + b**4/3 - 17*b**3/21 + 6*b**2/7 - 2*b + 21. Solve z(x) = 0.
-2, 1, 3
Let n(r) be the third derivative of r**10/529200 + r**9/105840 + r**8/70560 - r**5/20 - 2*r**2. Let t(w) be the third derivative of n(w). Factor t(s).
2*s**2*(s + 1)**2/7
Let x(i) be the second derivative of -1/50*i**5 - 1/30*i**4 + 0*i**2 - i + 0 + 0*i**3. Let x(r) = 0. Calculate r.
-1, 0
Let g(f) = f - 4. Let l be g(6). Let i = 55 + -273/5. Determine n so that -2/5*n**l - i*n**3 + 2/5*n + 2/5 = 0.
-1, 1
Solve 32/5*r**2 + 0*r + 24/5*r**4 + 0 + 48/5*r**3 + 4/5*r**5 = 0.
-2, 0
Let w be (0*1/(-1))/(4 - 6). Let a(f) be the first derivative of -1/16*f**4 + 2 + 1/20*f**5 + 0*f + w*f**2 - 1/12*f**3 + 1/24*f**6. Factor a(q).
q**2*(q - 1)*(q + 1)**2/4
Let u(k) = 3*k**4 - k**3 - 3*k**2 - 3*k. Let v(n) = 3*n**4 - 2*n**3 - 3*n**2 - 4*n. Let c(s) = 3*u(s) - 2*v(s). Factor c(m).
m*(m - 1)*(m + 1)*(3*m + 1)
Let b(s) be the second derivative of 0 - 2/15*s**3 + 0*s**2 + 1/25*s**5 - 1/75*s**6 + 1/30*s**4 + 4*s. Suppose b(z) = 0. Calculate z.
-1, 0, 1, 2
Determine f, given that -1/3*f**3 + 0*f + 0 - 2/3*f**2 = 0.
-2, 0
Let s(v) be the second derivative of -v**4/48 + v**3/8 - 9*v. Factor s(b).
-b*(b - 3)/4
Find h such that 8*h + 32 + 1/2*h**2 = 0.
-8
Let k(d) = 2*d**2 - 5*d - 5. Let p be k(-1). Let o(g) be the second derivative of -1/6*g**3 + 0*g**p - g - 1/12*g**4 + 0. Determine l so that o(l) = 0.
-1, 0
Suppose b - 3*m = -1, -1 = -5*b - m + 10. Suppose j = b*j - 2. Factor -2/9*t**5 + 20/9*t**j - 10/9*t - 20/9*t**3 + 2/9 + 10/9*t**4.
-2*(t - 1)**5/9
Let n be (1/1)/((-1)/(-4)). Factor 4*h**2 - n*h**2 - 2*h**2 + 0*h**2.
-2*h**2
Let r(j) be the second derivative of -j**8/672 - j**7/90 - 11*j**6/450 - 2*j**5/75 + j**4/4 - 3*j. Let a(l) be the third derivative of r(l). Factor a(s).
-2*(s + 2)*(5*s + 2)**2/5
Let u be 9/(-15) - 51/(-60). Let t(w) be the first derivative of -2*w - u*w**4 - 1 + 2/3*w**3 + 1/2*w**2. Solve t(s) = 0.
-1, 1, 2
Let w(t) be the third derivative of 0*t + 1/40*t**6 + 1/40*t**4 + 2/25*t**5 + 2*t**2 + 0 - 1/5*t**3. What is f in w(f) = 0?
-1, 2/5
Let a(l) = -l**3 + l**2 + l. Let r(u) be the third derivative of -u**7/105 - 2*u**2. Let q be 3 + 2 + (-2 - 1). Let i(z) = q*a(z) + r(z). Factor i(g).
-2*g*(g - 1)*(g + 1)**2
Factor 3/7*p + 6/7 - 3/7*p**2.
-3*(p - 2)*(p + 1)/7
Let r(k) = -k**3 + 3*k**2 - 2*k + 1. Let t be r(1). Suppose 2*a - 2*u - 9 = t, 25 = -2*a - 5*u. Factor -4/3*g + a - 2/3*g**2.
-2*g*(g + 2)/3
Suppose 2*j + 4*c - 24 = 0, 2*c - 21 = -4*j - 3. Let -15/2*f**j - 33/2*f**3 - f - 9/2*f**5 - 29/2*f**4 + 0 = 0. Calculate f.
-1, -2/9, 0
Let u be ((-7)/189)/(28/(-24) - -1). Factor u*b**4 - 4/9*b**2 + 2/9*b**3 + 0 + 0*b.
2*b**2*(b - 1)*(b + 2)/9
Let r(i) be the first derivative of 0*i + 2/45*i**5 - 1/18*i**4 + 0*i**3 - 1 + 0*i**2. Factor r(p).
2*p**3*(p - 1)/9
Let z(k) = -2*k. Let v(r) = -2*r**2 - 4*r + 12. Let x(s) = -2*v(s) + 6*z(s). Suppose x(f) = 0. What is f?
-2, 3
Let u be (25/10)/((-1)/(-2)). Suppose -3*p = -2*h, -u*h + 0*h + 5 = -5*p. Factor 0 - 2/3*m - 2/3*m**h - 4/3*m**2.
-2*m*(m + 1)**2/3
Suppose n - 4*m = 39, 0*m + 33 = n - m. Let 0*z**3 + 26*z**5 + n*z**4 + 15*z**3 - 11*z**5 - 3*z**2 - 2*z = 0. Calculate z.
-1, -2/5, 0, 1/3
Let z(d) be the first derivative of -1/3*d**3 + 2*d + 1/2*d**2 + 3. Suppose z(o) = 0. Calculate o.
-1, 2
Let f(q) be the third derivative of 0*q + 1/12*q**3 - 1/480*q**6 + 5/96*q**4 + 0 - 2*q**2 - 1/840*q**7 + 1/80*q**5. Let f(i) = 0. Calculate i.
-1, 2
Let d(j) be the first derivative of 4*j**6/3 + 36*j**5/5 + 12*j**4 + 16*j**3/3 + 41. Find f, given that d(f) = 0.
-2, -1/2, 0
Determine u so that -52*u - 242*u**3 + 115*u**4 + 189*u**2 - 35*u**4 + 5 - 1 = 0.
1/8, 2/5, 1/2, 2
Let -7/3*d**3 - 1/3*d + d**4 + 5/3*d**2 + 0 = 0. Calculate d.
0, 1/3, 1
Let o(k) = -3*k**3 + 3*k**2 - 3*k - 15. Let n(f) = f**3 + f**2 + 1. Let r(l) = -6*n(l) - o(l). What is z in r(z) = 0?
-3, -1, 1
Let h(j) be the third derivative of j**5/240 + 