Determine z, given that s(z) = 0.
-1, 1, 3
Let m(s) be the second derivative of s - s**3 + 0 + 0*s**2 - 1/10*s**5 - 2/3*s**4. Factor m(l).
-2*l*(l + 1)*(l + 3)
Let a(i) be the second derivative of 5*i**7/42 - i**6/2 + i**5/2 - 5*i. Determine x, given that a(x) = 0.
0, 1, 2
Let i(b) = 5*b**2 + 4*b + 7. Let r(x) = 2*x**2 + 2*x + 3. Let v be (-60)/(-8) - 6/4. Let f(s) = v*i(s) - 14*r(s). Let f(t) = 0. Calculate t.
0, 2
Let n(z) be the first derivative of 0*z + 0*z**3 - 1 - 1/7*z**2 + 1/14*z**4. Solve n(c) = 0 for c.
-1, 0, 1
Let w(j) be the third derivative of 0*j**5 + 0*j**4 + 0*j**3 + 0 - 3*j**2 - 2/315*j**7 + 1/360*j**6 + 0*j. Factor w(c).
-c**3*(4*c - 1)/3
Let l(r) = r**3 - 11*r**2 + 7*r + 6. Let y be l(10). Let c be y/(-30) + 4/10. What is k in 2/5*k**3 + 6/5*k + 2/5 + c*k**2 = 0?
-1
Factor -13*c**2 - 12*c + c**2 - c**2 + c**2 + 9*c**3.
3*c*(c - 2)*(3*c + 2)
Factor -1/8*t - 1/8*t**3 - 1/4*t**2 + 0.
-t*(t + 1)**2/8
Let g(a) be the second derivative of -a**6/30 + a**5/10 - a**3/3 + a**2/2 - 5*a. Factor g(p).
-(p - 1)**3*(p + 1)
Let u(l) = -l**3 + l**2 + l. Let v(s) = 4*s**2 - 4*s + 5. Let i(k) = -5*k**2 + 4*k - 6. Let c(o) = -2*i(o) - 3*v(o). Let m(n) = -c(n) - u(n). Factor m(z).
(z - 1)**2*(z + 3)
Suppose -l = l - 4. Determine k so that -2*k**l + 3*k**2 + k**4 - 3*k**3 + k**3 + 0*k**2 = 0.
0, 1
Let v be (-252)/(-54) - 2/(-6). Let a(m) be the third derivative of 0*m**3 + 1/105*m**v + 0*m + 3*m**2 - 1/420*m**6 + 0 - 1/84*m**4. Let a(r) = 0. What is r?
0, 1
Let l be 4/(-10) - 1212/(-30). Let y = l - 119/3. Determine c, given that -y*c**2 + 0 + 0*c**3 + 0*c + 1/3*c**4 = 0.
-1, 0, 1
Solve 8/7*n**3 - 4/7*n + 6/7 - 10/7*n**2 = 0 for n.
-3/4, 1
Let y(k) = -k**3 + 2*k**2 - 1. Let x be y(-2). Let b be ((-3)/(-2))/(x/40). Suppose q**2 + 0*q**2 - b*q + 4 + 0*q**2 = 0. Calculate q.
2
Suppose 2*p = 4*w + 18, -2*w - 8 = 2*w. Suppose 13 = p*g - 7. Determine f, given that -14*f**g + 6*f**2 + 10*f**3 + f**2 - 3*f**2 = 0.
-2/7, 0, 1
Let q = 43354 + -4552129/105. Let a = q + -2/35. Solve 0 + c**2 + a*c = 0.
-1/3, 0
Let w(i) be the third derivative of i**8/70560 + i**7/8820 + i**5/20 + 4*i**2. Let o(q) be the third derivative of w(q). Factor o(m).
2*m*(m + 2)/7
Suppose -y + 3*y + 2*d - 4 = 0, -5*d = 0. Factor 2*n**5 + 1 + 8*n**3 - 5*n**4 - n**5 + 5*n + 2*n**3 + 10*n**y + 10*n**4.
(n + 1)**5
Let -4/3*b + 0 - 5/3*b**4 + b**3 + 5/3*b**2 + 1/3*b**5 = 0. What is b?
-1, 0, 1, 4
Let t(m) = 0*m**2 - 5 + 3*m**3 + m**2 - 3*m**2 + 4*m + 5*m**2. Let c(g) = -2*g**3 - 2*g**2 - 2*g + 3. Let n(i) = -5*c(i) - 3*t(i). Solve n(d) = 0.
-2, 0, 1
Suppose -2*n = 0, l - 3*l + 3*n + 10 = 0. Let r be -2*1/(-2)*l. Factor 0*k**2 - 5*k**4 - 1 - 3*k**2 + r*k + 6*k**3 + k**5 + 4*k**3 - 7*k**2.
(k - 1)**5
Let o(i) be the first derivative of -1/27*i**3 + 2*i - 1/9*i**2 + 3 + 1/90*i**5 + 1/54*i**4. Let k(r) be the first derivative of o(r). Factor k(l).
2*(l - 1)*(l + 1)**2/9
Factor 2*b**3 + 0*b**3 - 2*b**2 + 0*b**2 + 0*b**3.
2*b**2*(b - 1)
Let o(z) = -z**3 + 4*z**2 - 5*z. Let m(q) = q. Let l(a) = -2*m(a) - o(a). Factor l(i).
i*(i - 3)*(i - 1)
Let v be ((-3)/((-54)/4))/((-7)/(-168)). Let w(d) be the first derivative of -6/5*d**5 - 9/2*d**2 - 7/2*d**4 - v*d**3 - 1/6*d**6 + 1 - 2*d. Solve w(h) = 0.
-2, -1
Let k(r) be the first derivative of 9*r**5/20 - 3*r**4/2 + 7*r**3/4 - 3*r**2/4 - 31. Determine c, given that k(c) = 0.
0, 2/3, 1
Let t(s) be the second derivative of 2/9*s**3 + 1/45*s**6 + 0 - 1/15*s**5 + 0*s**4 - 1/3*s**2 - 2*s. Let t(p) = 0. Calculate p.
-1, 1
Let f(o) be the second derivative of 0*o**2 - 9/20*o**5 - 1/6*o**3 + 0 - 1/2*o**4 - 4*o - 2/15*o**6. Factor f(h).
-h*(h + 1)**2*(4*h + 1)
Let t be -4 - (5 + -1 - 11). Let p(q) be the first derivative of 1/9*q**t - 2/3*q**2 + 4/3*q + 3. Factor p(o).
(o - 2)**2/3
Let j(b) be the first derivative of b**5/20 - b**4/16 - b**3/4 + b**2/8 + b/2 + 32. Determine r, given that j(r) = 0.
-1, 1, 2
Let l(d) = 10*d**3 + 5*d**2 - 10*d - 15. Let s(v) = 11*v**3 + 4*v**2 - 11*v - 16. Let o(q) = -6*l(q) + 5*s(q). Factor o(z).
-5*(z - 1)*(z + 1)*(z + 2)
Let x be 0*2/10*-1. Let 0*a**2 + x*a**4 + 0*a + 0 - 2/9*a**5 + 2/9*a**3 = 0. Calculate a.
-1, 0, 1
Let h(t) be the second derivative of -t**6/45 + 4*t**5/15 - 8*t**4/9 - 7*t. What is u in h(u) = 0?
0, 4
Let x(f) = f**2 - 2*f - 5. Let b be x(4). Let r(h) be the third derivative of 2/3*h**b + 3*h**2 + 0 + 0*h + 1/30*h**5 + 1/4*h**4. Factor r(a).
2*(a + 1)*(a + 2)
Let k(b) be the first derivative of -b**2 - 1 + 1/6*b**3 + 2*b. What is y in k(y) = 0?
2
Let p = -6 - -9. Let s be 2/p - (-12)/(-45). Let 0 - 2/5*y - s*y**2 = 0. Calculate y.
-1, 0
Let j(k) be the third derivative of k**5/20 - k**4/4 - 3*k**2. Find s such that j(s) = 0.
0, 2
Factor 2/15*k**3 + 4/15*k**2 - 26/15*k + 4/3.
2*(k - 2)*(k - 1)*(k + 5)/15
Let k be 3*(-12)/(-27) + (-2)/(-3). Factor -4/15 - 6/5*p**k - 2/15*p**4 - 14/15*p - 2/3*p**3.
-2*(p + 1)**3*(p + 2)/15
Let w be 0/(-4 + (5 - 3)). Let q(i) be the third derivative of -7/24*i**4 + 0 + 7/120*i**6 + 1/3*i**3 - 1/30*i**5 + 4*i**2 + w*i. Factor q(n).
(n - 1)*(n + 1)*(7*n - 2)
Let i(r) = r + 7. Let a be i(-4). Let m be -9 + 6 - (-11)/a. Find o, given that -1/3*o**2 - 1/3 + m*o = 0.
1
Let r(t) = -t**3 + 8*t**2 - t + 8. Let v be r(8). Let f be v - 1 - (-13 - -11). What is k in 1/2*k**2 - 3/2*k + f = 0?
1, 2
Let a(i) be the third derivative of i**6/80 - i**5/5 + i**4 + 14*i**2. Factor a(q).
3*q*(q - 4)**2/2
Let c be (-100)/(-45)*1 + -2. Factor -2/9*j**5 - 4/9*j**3 - 4/9*j**2 - c + 2/3*j + 2/3*j**4.
-2*(j - 1)**4*(j + 1)/9
Let n(z) be the second derivative of z**9/3024 + z**8/840 - z**6/180 - z**5/120 + z**3/2 - 2*z. Let r(y) be the second derivative of n(y). Factor r(m).
m*(m - 1)*(m + 1)**3
Let b be ((-16)/(-6) - 4)*45/(-12). Let t(k) be the third derivative of -4*k**2 - 1/120*k**b + 0*k**4 + 1/240*k**6 + 0*k + 0*k**3 + 0. Factor t(n).
n**2*(n - 1)/2
Solve -2/13*y**5 + 0 + 0*y**2 + 2/13*y**3 + 0*y + 0*y**4 = 0 for y.
-1, 0, 1
Let z(g) be the first derivative of -g**8/4200 + g**7/2100 + g**6/900 - g**5/300 + g**3/3 - 3. Let k(s) be the third derivative of z(s). Solve k(b) = 0.
-1, 0, 1
Suppose -4*q = -0 + 16. Let v be (1 - q) + (1 - 4). What is u in -1/3*u**3 - u**4 + u**v + 1/3*u + 0 = 0?
-1, -1/3, 0, 1
Factor 88*y + y**2 + 6*y**2 - 98*y + 3.
(y - 1)*(7*y - 3)
Determine d so that 3/5*d**2 + 0*d - 1/5*d**3 - 4/5 = 0.
-1, 2
Suppose 2*z - 4 = -0*z. Let o(b) be the first derivative of -b - 1/3*b**3 - 2 - b**z. What is j in o(j) = 0?
-1
Let z(i) be the third derivative of i**7/8820 - i**6/630 + i**5/105 - i**4/12 + 8*i**2. Let k(b) be the second derivative of z(b). What is u in k(u) = 0?
2
Let x(m) be the first derivative of m**3/12 - m**2/8 - 48. Factor x(h).
h*(h - 1)/4
Let s(w) = -w**2 - 7*w + 3. Let g(o) = -6*o**2 - 1. Let p be g(1). Let a be s(p). Factor -t**3 + 6*t**2 + 33*t**4 - 2*t - 41*t**4 + t**a.
-2*t*(t + 1)*(2*t - 1)**2
Let q(z) = z**3 - 5*z**2 - 7*z + 8. Let r be q(6). Determine m, given that 0*m**2 - 2*m**2 - 2*m**4 + 4*m**r = 0.
-1, 0, 1
Let v(z) be the first derivative of -z**3 + 12*z**2 - 48*z + 68. Factor v(g).
-3*(g - 4)**2
Let b(l) = -l + 2. Let c be b(0). Factor -2*s**3 + 4 + c*s + 5*s - s.
-2*(s - 2)*(s + 1)**2
Suppose 0 = 3*q + 3*r, 9 + 5 = -3*q + 4*r. Let t be (-4 - q)/(-6)*0. Factor 0*a**3 + 0 + t*a**2 + 1/2*a**5 + 0*a + 1/2*a**4.
a**4*(a + 1)/2
Let a(h) = h**2 - 2*h + 1. Suppose 0 = -0*m - 4*m - 2*p - 36, 0 = 3*m + 3*p + 33. Let n(x) = -4*x**2 + 6*x - 4. Let u(i) = m*a(i) - 2*n(i). Factor u(b).
(b + 1)**2
Let d(m) be the third derivative of m**6/120 + 13*m**5/60 - 7*m**4/12 + m**3/2 + 2*m**2. Let r be d(-14). Find p, given that 0*p + 0 + 1/2*p**r - p**2 = 0.
0, 2
Let r = -15 - -15. Let o(n) be the third derivative of 0*n**3 - 1/84*n**4 + 2/105*n**5 + r*n + 2*n**2 + 0. Suppose o(h) = 0. Calculate h.
0, 1/4
Let k(p) be the third derivative of p**5/80 - p**4/32 + 13*p**2. What is n in k(n) = 0?
0, 1
Let n = 8 + -5. Suppose 5*o = 4*m - n - 5, 0 = -5*o. Determine d so that 8*d**3 - 7*d**m + 7*d**4 + 6*d**4 + d + 3*d**4 = 0.
-1, 0, 1/4
Let a(r) be the third derivative of -r**5/240 + r**3/24 + 4*r**2. Factor a(o).
-(o - 1)*(o + 1)/4
Let w(z) be the third derivative of -3*z**7/175 - z**6/50 + 11*z**5/150 + z**4/15 - 4*z**3/15 + 3*z**2. Factor w(p).
-2*(p + 1)**2*(3*p - 2)**2/5
Factor