+ w = 21, -2*u - 2*k = -8. Let 10*l**3 + 4*l**2 - 4*l - 6*l + 0*l - u - 2 = 0. Calculate l.
-1, -2/5, 1
Let f(z) be the third derivative of -z**5/120 - z**4/16 - z**3/6 + 15*z**2. Let f(m) = 0. Calculate m.
-2, -1
Let y(q) be the first derivative of -2 - q**2 + 1/3*q**3 + 0*q. Find l, given that y(l) = 0.
0, 2
Let r = -2/237 + 725/1659. Factor -r*q**2 - 12/7*q - 12/7.
-3*(q + 2)**2/7
Suppose 12 = 5*k + 5*w - 18, 5*k - 4*w + 6 = 0. Let g be 1*(-144)/81 - -2. Find a, given that 0*a**k - g*a**3 + 0 + 2/9*a = 0.
-1, 0, 1
Let l(m) = -m**2 - 10*m - 9. Let o be l(-9). Let r(i) be the third derivative of 1/12*i**4 + i**2 - 1/60*i**5 - 1/6*i**3 + o*i + 0. Factor r(c).
-(c - 1)**2
Let p be -3*(-4)/18*-6. Let v = -26/7 - p. Factor 0*l + v*l**3 + 0 + 2/7*l**2.
2*l**2*(l + 1)/7
Factor 0 - 4/7*u**4 + 0*u**2 + 6/7*u**3 - 2/7*u.
-2*u*(u - 1)**2*(2*u + 1)/7
Let z(s) = -2*s - 10. Let x be z(-5). Factor x*d**2 + 3*d - d**3 + 0*d**2 + 2.
-(d - 2)*(d + 1)**2
Let y = -52 + 56. Factor 0*z**3 + 1/5*z**y + 0*z + 0 + 0*z**2.
z**4/5
Suppose -4*x + 3*y = -2*x - 13, -3*x + 5*y = -19. Suppose 0 = 3*f + f - x. Factor -8*q + 5*q - 2*q**2 - 3 - 3*q - q**f.
-3*(q + 1)**2
Let t = -61/2 + 311/10. Factor 6/5*w**2 - 3/5*w**3 - t*w + 0.
-3*w*(w - 1)**2/5
Factor 1 + 13 - 2 + 33*y + 3*y**3 - 3*y**4 + 27*y**2.
-3*(y - 4)*(y + 1)**3
Factor -14*u**2 - 12*u + 3*u + 11*u**2.
-3*u*(u + 3)
Let s(q) = q**3 - 1. Let x be s(1). Suppose x = -n - 0 + 3. Factor -n*o**3 - o + 7*o**4 - 2*o**4 - 7*o**2 + 4*o + 2.
(o - 1)**2*(o + 1)*(5*o + 2)
Let n(a) be the second derivative of 3*a**5/20 + a**4/3 - 2*a**3/3 + 10*a. Determine w so that n(w) = 0.
-2, 0, 2/3
Let d(h) be the second derivative of h**9/6048 - h**7/840 + h**5/240 - 2*h**3/3 + 4*h. Let k(y) be the second derivative of d(y). Let k(j) = 0. Calculate j.
-1, 0, 1
Let h(i) be the first derivative of -1/2*i**2 + 1/3*i**3 - i + 3 + 1/4*i**4. What is z in h(z) = 0?
-1, 1
Factor -m - 1/2*m**2 - 1/2.
-(m + 1)**2/2
Let f = 0 + 1/3. Factor 0 + 1/3*m + 1/3*m**2 - f*m**3 - 1/3*m**4.
-m*(m - 1)*(m + 1)**2/3
Let u(g) be the second derivative of -2*g**5/75 - g**4/60 - 9*g**2/2 + 7*g. Let t(v) be the first derivative of u(v). Let t(z) = 0. What is z?
-1/4, 0
Let t(m) be the second derivative of m**7/12600 - m**6/450 + 2*m**5/75 - 5*m**4/6 - 9*m. Let j(d) be the third derivative of t(d). Let j(z) = 0. Calculate z.
4
Suppose 4*w - 19 + 11 = 0. Factor 1 + 1/2*t**3 + 0*t**w - 3/2*t.
(t - 1)**2*(t + 2)/2
Suppose -6*x**3 + 45*x**2 + 10*x**3 - 9*x**2 = 0. What is x?
-9, 0
Let q be 3*12/(-9) - -4. Let o(r) be the second derivative of -3*r + 2/75*r**6 + 0*r**4 + 0 - 1/105*r**7 - 1/50*r**5 + q*r**2 + 0*r**3. Factor o(t).
-2*t**3*(t - 1)**2/5
Let s(t) be the first derivative of t**4 - 4*t**3/5 - 4*t**2/5 + 17. Factor s(b).
4*b*(b - 1)*(5*b + 2)/5
Suppose 15 + 5 = 5*c. Suppose -u = 3*u - 12, -c*u + 10 = -x. Suppose -1/5*w**x - 4/5 - 4/5*w = 0. What is w?
-2
Let v(n) = n**3 + 3*n**2 - 4*n + 3. Let s be v(-4). Let o(c) be the first derivative of 0*c + 1/3*c**2 - 2/9*c**s + 3. Factor o(d).
-2*d*(d - 1)/3
Suppose -3*k = -5*k - 54. Let y be k/(-21) + 2/(-7). Suppose -4*t**3 + 2*t**4 - 4 + 4 - y - 1 + 4*t = 0. What is t?
-1, 1
Suppose 0 = 3*l - 31 - 59. Factor -6*z**5 + 24*z**2 + 18*z**4 - l*z**3 + 4*z**4 - 6*z**2 - 4*z.
-2*z*(z - 1)**3*(3*z - 2)
Let b(s) be the third derivative of -s**7/1785 - s**6/170 - 13*s**5/510 - s**4/17 - 4*s**3/51 + 5*s**2. Solve b(p) = 0.
-2, -1
Solve -2*m - 6 + 10*m - 2 - 2*m**2 = 0.
2
Let j(d) be the second derivative of -d**7/7560 + d**6/1080 + d**5/120 + d**4/6 - d. Let h(v) be the third derivative of j(v). Let h(c) = 0. What is c?
-1, 3
Let h(w) = 2*w + 2. Let v be h(0). What is z in -3*z**v - z**2 + 3*z + 2*z**2 + 3*z**3 - 4*z**2 = 0?
0, 1
Let r(h) be the first derivative of 5*h**3/3 + 35*h**2/2 + 12. Factor r(o).
5*o*(o + 7)
Factor 1 + 6*m - 5 - 4*m - 2*m**3 + 4*m.
-2*(m - 1)**2*(m + 2)
Let i(k) be the second derivative of -25*k**7/231 + 26*k**6/33 - 109*k**5/110 - 26*k**4/11 - 12*k**3/11 + 16*k. Suppose i(q) = 0. Calculate q.
-2/5, 0, 3
Let o(j) = j. Let h(c) = -c**3 - c**2 - 6*c + 5. Let f(i) = h(i) + o(i). Let r(b) = -4*b**3 - 4*b**2 - 15*b + 16. Let p(u) = 7*f(u) - 2*r(u). Factor p(g).
(g - 1)**2*(g + 3)
Let g = -179/20 - -9. Let d(u) be the first derivative of -2 + 0*u + g*u**5 + 0*u**2 + 1/12*u**3 + 1/8*u**4. Solve d(h) = 0.
-1, 0
Let w(p) = 4*p + 4 - 2 + 12 + p + 5*p**2. Let l = -18 + 26. Let v(y) = 2*y**2 + 2*y + 5. Let t(u) = l*v(u) - 3*w(u). Factor t(s).
(s - 1)*(s + 2)
Suppose 5*r - 2*b = -5*b + 3, -2*r + 5*b - 5 = 0. Let a(s) be the second derivative of -s + 0*s**3 - 1/30*s**5 + r*s**2 + 0 - 1/18*s**4. Factor a(m).
-2*m**2*(m + 1)/3
Let b(o) = 28*o**4 - 97*o**3 + 85*o**2 - 11*o - 5. Let p(h) = -42*h**4 + 145*h**3 - 127*h**2 + 17*h + 7. Let z(s) = -7*b(s) - 5*p(s). Factor z(j).
2*j*(j - 2)*(j - 1)*(7*j - 2)
Determine t, given that 41/2*t**2 - 22*t + 2 - 5*t**3 = 0.
1/10, 2
Let -2/3*b - 1/3*b**2 + 1/3*b**4 + 2/3*b**3 + 0 = 0. What is b?
-2, -1, 0, 1
Let d(i) be the third derivative of 0 + 0*i + 1/336*i**8 + 1/210*i**7 + 0*i**3 - 1/60*i**5 + 0*i**4 - 1/120*i**6 + i**2. Factor d(u).
u**2*(u - 1)*(u + 1)**2
Suppose 0 = 4*n - 3*n. Suppose -3*m = -n*m. Factor -1/3 + m*l + 1/3*l**2.
(l - 1)*(l + 1)/3
Suppose -4*g = -8*g + 20. Factor -16*u**g - 15*u**3 + 3*u**3 - 2*u**2 - 20*u**4 - 4*u**4.
-2*u**2*(2*u + 1)**3
Determine p, given that 7/3*p - 1/3*p**5 + 2/3 - 2/3*p**4 + 8/3*p**2 + 2/3*p**3 = 0.
-1, 2
Let t(p) be the first derivative of -5*p**4/32 + 11*p**3/24 - 7*p**2/16 + p/8 + 10. Suppose t(j) = 0. Calculate j.
1/5, 1
Let p(k) be the first derivative of 2*k**3/3 - 3*k**2 + 4*k + 3. Factor p(r).
2*(r - 2)*(r - 1)
Let t = -1/90 - -191/990. Suppose 0 - t*b + 6/11*b**4 + 2/11*b**3 - 6/11*b**2 = 0. What is b?
-1, -1/3, 0, 1
Let m(c) be the second derivative of 9*c**5/20 + c**4 - c**3/2 - 3*c**2 - 37*c. Find l such that m(l) = 0.
-1, 2/3
Let w = -2 - -6. Let c = -7/18 + 8/9. Solve 1/2*z**3 + 1/2*z**w - c*z**5 + 0 - 1/2*z**2 + 0*z = 0.
-1, 0, 1
Let r(a) be the third derivative of 2*a**7/105 + a**6/5 + 4*a**5/5 + 5*a**4/3 + 2*a**3 - 40*a**2. What is n in r(n) = 0?
-3, -1
Factor -16*q - 45 - 15*q - 7*q + 8*q - 5*q**2.
-5*(q + 3)**2
Let j be 46/(-24) - (2 + -4). Let w(u) be the third derivative of -j*u**4 - 1/60*u**6 + 0*u + 0*u**3 - 2*u**2 + 0 + 1/15*u**5. Suppose w(r) = 0. Calculate r.
0, 1
Let t(l) be the third derivative of 1/40*l**5 + 3/8*l**4 + 0 + 9/4*l**3 - 6*l**2 + 0*l. What is y in t(y) = 0?
-3
Let c(l) = 2*l**2 + 0*l**2 + 2*l**4 - l**2 - 3*l**4. Let h(s) = -2*s**4 + 2*s**2 + 2*s**4 - 2*s**4. Let g(k) = 3*c(k) - h(k). Factor g(b).
-b**2*(b - 1)*(b + 1)
Let i be (-3*2)/(220/(-22)). Let -1/5*p**5 + i*p - 2/5*p**2 - 1/5 - 2/5*p**3 + 3/5*p**4 = 0. Calculate p.
-1, 1
Let w be 1 + -4 - (-338)/104. Suppose 2*p = p. Determine x, given that p - w*x**5 + 1/4*x**2 + 3/4*x**4 + 0*x - 3/4*x**3 = 0.
0, 1
Let r(o) be the third derivative of o**5/240 - o**4/32 + o**2. Factor r(x).
x*(x - 3)/4
Suppose -6 = -0*i - 3*i. Factor 2*c**2 + 5 + 6*c + 1 - i.
2*(c + 1)*(c + 2)
Factor 3/2*b**2 + 1/4*b**3 + 9/4*b + 1.
(b + 1)**2*(b + 4)/4
Factor 8*q + 4*q**3 + 20*q**2 - 332 + 8*q + 332.
4*q*(q + 1)*(q + 4)
Suppose 0 = 2*n - 0*n + 10. Let f = 8 + n. Find c such that 0*c**4 - c**2 + c**f - c - c**4 + 2*c**4 = 0.
-1, 0, 1
Factor -4/5 - 2/5*l**2 + 6/5*l.
-2*(l - 2)*(l - 1)/5
Let b(y) = 7*y**3 - 16*y**2 - 3*y + 3. Let x(f) = -6*f**3 + 16*f**2 + 2*f - 2. Let i(g) = 2*b(g) + 3*x(g). Factor i(s).
-4*s**2*(s - 4)
Let p be (0 - (1 - 2))*-3. Let i(x) = -x - 1. Let t be i(p). Factor 3*z + 0*z**2 + 0*z**2 - 9*z**4 + 21*z**3 - 8*z**2 - 7*z**t.
-3*z*(z - 1)**2*(3*z - 1)
Factor -1/2*o**3 + 0*o + 0 - 1/2*o**2.
-o**2*(o + 1)/2
Let k(d) be the first derivative of -6/7*d - 2/35*d**5 + 5 - 3/7*d**4 - 8/7*d**3 - 10/7*d**2. Solve k(p) = 0.
-3, -1
Let x(b) be the second derivative of -5*b - 3/20*b**5 - 5/2*b**3 + b**4 + 0 + 3*b**2. Factor x(h).
-3*(h - 2)*(h - 1)**2
Let 8*i**4 + 6 - 2*i**2 - 9*i + 2*i**2 - 3*i**2 - 11*i**4 + 9*i**3 = 0. What is i?
-1, 1, 2
Let a be 3 - 2 - (4 - 5). Factor a*q**3 + q - 2*q**2 - 3*q + 2*q.
2*q**2*(q - 1)
Let r(k) be the first derivative of -5*k**4/8 - 13*k**3/6 + 3*k**2/2 + 7. Factor r(h).
-h*(h + 3)*(5*h - 2)/2
Let l be 50/(-8) + (-2)/(-8). Let g(a) = a