*c**4 = 0. Calculate c.
-1, 0, 2
Let x be (0*(-2)/10)/2. Let l(o) be the second derivative of o**2 + o**3 + x + 1/10*o**5 + 3*o + 1/2*o**4. Factor l(z).
2*(z + 1)**3
Let h(n) be the third derivative of -n**2 + 0*n + 0 + 0*n**4 - 1/360*n**6 + 1/2*n**3 + 1/60*n**5. Let r(z) be the first derivative of h(z). Factor r(o).
-o*(o - 2)
Let b = 158 + -473/3. Determine w, given that -b*w**2 + 1/3*w - 1/3*w**3 + 1/3 = 0.
-1, 1
Let b(k) be the second derivative of -k**6/45 + 4*k**5/15 - 8*k**4/9 + 29*k. Suppose b(n) = 0. Calculate n.
0, 4
Let p be -3*-9*(-2)/6. Let o be 3 + 24/p + 0. Factor -o*g + 0 - 1/3*g**2.
-g*(g + 1)/3
Determine x so that 8/11 + 2/11*x**2 - 10/11*x = 0.
1, 4
Let j be 18/(-14) - (-8)/28. Let v be 25/10 + -1 + j. Find h, given that h**2 + 0 + 0*h + v*h**3 = 0.
-2, 0
Let i(m) be the third derivative of 1/12*m**4 + 1/30*m**5 + 0*m**3 - 1/105*m**7 + 0*m - 1/60*m**6 + 0 + 4*m**2. Determine z so that i(z) = 0.
-1, 0, 1
Let z(c) be the third derivative of -c**8/112 + 3*c**7/14 - 9*c**6/4 + 27*c**5/2 - 405*c**4/8 + 243*c**3/2 + 8*c**2. Factor z(w).
-3*(w - 3)**5
Let n(w) be the second derivative of -3*w**5/80 + w**4/24 - 10*w. Find j, given that n(j) = 0.
0, 2/3
Let v(m) be the first derivative of m**5/10 + 6. Find u such that v(u) = 0.
0
Factor -38*x**4 + 19*x**4 - 8*x - 18*x**3 + 12*x**4 - 20*x**2 - x**5.
-x*(x + 1)*(x + 2)**3
Suppose 0 = -2*i + 6 - 0. Let d be (-4)/i*4/(-8). Factor 2/3*l + d*l**2 + 0.
2*l*(l + 1)/3
Let q(u) = -9*u**4 - 7*u**3 + 16*u**2 - 7. Let o(a) = -6*a**4 - 5*a**3 + 11*a**2 - 5. Let s be (-3)/((-9)/1)*-21. Let l(z) = s*o(z) + 5*q(z). Factor l(y).
-3*y**2*(y - 1)*(y + 1)
Let n(p) be the third derivative of 0*p + 0 - 1/240*p**6 + 0*p**3 - 1/48*p**4 - 1/60*p**5 + p**2. Factor n(t).
-t*(t + 1)**2/2
Suppose 2*w = j - 42, -5*w = -4*j - 32 + 185. Let k be (-6)/30 - j/(-10). Factor 0 + 2/7*z**k + 0*z + 0*z**2 + 2/7*z**5 + 4/7*z**4.
2*z**3*(z + 1)**2/7
Let q be 2/(3/(600/5)). Let z be q/84 + (-4)/(-12). Find g such that 0 + 3/7*g**2 - 3/7*g**5 - 9/7*g**3 + 0*g + z*g**4 = 0.
0, 1
Let x be 220/115 + 2/(-1). Let w = 52/69 + x. Factor 4/3*l + 2/3 + w*l**2.
2*(l + 1)**2/3
Factor -230*l - 3*l**3 + 221*l + 12*l**2 + 0*l**2.
-3*l*(l - 3)*(l - 1)
Let v(g) be the second derivative of g**6/6 - g**5/2 + 5*g**4/12 + 23*g. Factor v(a).
5*a**2*(a - 1)**2
Factor 17*m**2 + 12*m**3 + 6*m + 3*m**4 - 5*m**2 + 3*m**2.
3*m*(m + 1)**2*(m + 2)
Suppose 2*b - 2 = 0, -2*i - 1 + 3 = -2*b. Factor -2/9*q - 2/9*q**i + 4/9.
-2*(q - 1)*(q + 2)/9
Let j be 2 + 3*(1 - 0). Factor -8*c - 18*c**3 - j + 1 + 4 - 24*c**2.
-2*c*(3*c + 2)**2
Factor -2/5 - 16*z**4 + 2*z**2 - 10*z**3 + 2*z - 32/5*z**5.
-2*(z + 1)**3*(4*z - 1)**2/5
Let k(r) be the third derivative of 0 + 1/60*r**5 + 0*r + 0*r**4 - 1/6*r**3 + 8*r**2. Factor k(h).
(h - 1)*(h + 1)
Let z be -9 + 10 - (-4 - 1). Let q(b) be the second derivative of 1/15*b**5 - 1/90*b**z + 0*b**3 + 0*b**2 + 0 + b - 1/9*b**4. Factor q(r).
-r**2*(r - 2)**2/3
Suppose 0 = -5*h + n - 5*n + 61, -35 = -3*h - 2*n. Factor 0*z + h*z - 1 - 5 - 3*z**3.
-3*(z - 1)**2*(z + 2)
Factor 6*x - 5*x**2 + 3*x**2 + 7*x**2 - 3*x**2.
2*x*(x + 3)
Let a be (-58)/(-8) - 3/12. Let n(o) = -o + 10. Let r be n(a). Factor y**2 + y**2 - 1 - r*y**4 + 2*y**4.
-(y - 1)**2*(y + 1)**2
Let m be 11 - (-184)/(-24) - (-1 + 4). What is l in 1/3*l + m*l**2 - 2/3 = 0?
-2, 1
Let x(z) be the first derivative of -z**6/150 + 3*z**5/100 - z**4/20 + z**3/30 - 2*z - 2. Let k(c) be the first derivative of x(c). Factor k(m).
-m*(m - 1)**3/5
Factor 15*b**2 + 5*b + 28*b**3 + b - 3*b**4 - 3*b**5 - 19*b**3.
-3*b*(b - 2)*(b + 1)**3
Let b = -5 + 7. Factor -6 + 12*z**2 - 98*z + 71*z - 15*z**3 - 48*z**b.
-3*(z + 1)**2*(5*z + 2)
Let f(v) be the first derivative of -v**6/3 + 4*v**5/5 - 4*v**3/3 + v**2 - 15. Let f(u) = 0. What is u?
-1, 0, 1
Let i be (4/(-4) - -3) + 1. Let k(r) be the second derivative of -1/30*r**6 + r + 0*r**2 + 1/12*r**4 + 1/20*r**5 + 0 - 1/6*r**i. Factor k(n).
-n*(n - 1)**2*(n + 1)
Suppose -5*k = 2*i - 7, -16 = -4*k + 3*i - 2*i. Factor -3*h**3 - 5*h**2 + 2 + k + 1 - h**2 + 3*h.
-3*(h - 1)*(h + 1)*(h + 2)
Let p be ((-1)/2)/((-2)/24). Let c = p + -4. Factor u - 4*u**c - 2*u**3 - u.
-2*u**2*(u + 2)
Let z(n) be the third derivative of n**6/600 - n**5/50 + n**4/15 + 10*n**2. Factor z(q).
q*(q - 4)*(q - 2)/5
Let f(k) = -7*k**3 - 11*k**2 + 7*k + 6. Let b(n) = -3*n**3 - 5*n**2 + 3*n + 3. Let x(p) = -10*b(p) + 4*f(p). Suppose x(d) = 0. What is d?
-3, -1, 1
Let h(q) be the first derivative of q**7/4200 + q**6/600 + q**5/300 - 2*q**3/3 + 1. Let j(s) be the third derivative of h(s). Find m, given that j(m) = 0.
-2, -1, 0
Let q(v) = -v**2 + 3. Let a be q(3). Let l be a/(-10)*(6 + -1). Factor 5*s**2 + 0*s**2 - s**l - 3*s - 2*s**2 + 1.
-(s - 1)**3
Let q(f) = f**3 - 6*f**2 + f. Let a be q(6). Let -5*j**2 - 6*j + 2*j**2 - a - 3*j = 0. What is j?
-2, -1
Let f(s) be the third derivative of -s**5/105 + 5*s**4/42 - 46*s**2. Solve f(g) = 0.
0, 5
Let x(u) = u**2 - 5*u. Let m be x(5). Let y(k) be the third derivative of 0 + 2*k**2 + 0*k + 0*k**6 + 0*k**4 + m*k**3 + 1/30*k**5 - 1/105*k**7. Solve y(c) = 0.
-1, 0, 1
Suppose 4 = 7*h - 5*h. Let x(k) be the second derivative of 0*k**3 - k + 1/60*k**6 + 0 + 0*k**h + 1/20*k**5 + 1/24*k**4. Factor x(s).
s**2*(s + 1)**2/2
Let s(c) be the first derivative of 0*c**2 - 2*c + 2 + 0*c**3 + 0*c**4 - 1/60*c**5. Let o(g) be the first derivative of s(g). Let o(m) = 0. What is m?
0
Let b = -864 + 6051/7. Let 0 - b*h**2 + 0*h + 1/7*h**3 = 0. Calculate h.
0, 3
What is n in 8*n**3 - 3*n**3 + 3*n**4 + n**4 - n**3 = 0?
-1, 0
Let s(n) be the second derivative of n**5/90 + n**4/9 + 4*n**3/9 - 5*n**2/2 + 4*n. Let o(z) be the first derivative of s(z). Solve o(q) = 0.
-2
Let t(u) be the second derivative of u**4/102 - u**3/51 - 14*u. Factor t(y).
2*y*(y - 1)/17
Determine u, given that -2/13*u**2 + 2/13*u + 0 = 0.
0, 1
Let b(x) = 2*x - 14. Let p be b(7). Factor p*m + 2/3 - 2/3*m**2.
-2*(m - 1)*(m + 1)/3
Factor 0*m**2 - 32/3*m**4 - 16/3*m**3 - 4*m**5 + 0 + 0*m.
-4*m**3*(m + 2)*(3*m + 2)/3
Let z(l) be the third derivative of 3*l**7/35 + 7*l**6/10 + 61*l**5/30 + 7*l**4/3 + 4*l**3/3 + 4*l**2. Determine u, given that z(u) = 0.
-2, -1/3
Let 6 + 6 - 3*s - 4*s**2 + 0*s**2 - 5*s = 0. What is s?
-3, 1
Factor 0 - 10/7*g**3 + 0*g + 8/7*g**4 - 2/7*g**5 + 4/7*g**2.
-2*g**2*(g - 2)*(g - 1)**2/7
Suppose -6*o = -11*o + 25. Let k(c) = c - 2. Let b be k(o). Factor 0*n**2 - n**5 + 0*n - 3/2*n**4 + 0 - 1/2*n**b.
-n**3*(n + 1)*(2*n + 1)/2
Let q be ((-1)/(-7))/(((-24)/7)/(-1)). Let z(b) be the third derivative of -1/96*b**4 + 0 - 3*b**2 - 1/120*b**5 + 0*b + q*b**3. Factor z(c).
-(c + 1)*(2*c - 1)/4
Determine p, given that 16 + 1/9*p**2 - 8/3*p = 0.
12
Let p(b) be the first derivative of -b**6/27 - 8*b**5/45 - b**4/3 - 8*b**3/27 - b**2/9 - 22. Factor p(g).
-2*g*(g + 1)**4/9
Factor -3/4*c**2 + 0 + 3/4*c**3 + 0*c.
3*c**2*(c - 1)/4
Find h, given that 4/7 - 2/7*h**2 + 2/7*h = 0.
-1, 2
Suppose -4*t = -l - 7, 2*t + 3*t + 3*l - 13 = 0. Factor -2*m**3 - 2*m + 0*m**t + 7*m**2 - 3*m**2.
-2*m*(m - 1)**2
Suppose 2*u + 4*k + 2 = 22, -5*u + 2*k + 86 = 0. Let 0*p + 0*p**2 + 8*p**4 - u*p**5 + 2*p - 10*p**2 + 12*p**3 = 0. Calculate p.
-1, 0, 1/2
Let r(s) be the second derivative of s**5/5 + 4*s**4/3 + 2*s**3 - 7*s. Suppose r(q) = 0. Calculate q.
-3, -1, 0
Let r(n) be the third derivative of n**7/75 + 19*n**6/300 + n**5/10 + n**4/60 - 2*n**3/15 + 3*n**2. Factor r(l).
2*(l + 1)**3*(7*l - 2)/5
Factor -1/2 - 3/2*b**2 + 3/2*b + 1/2*b**3.
(b - 1)**3/2
Suppose -4*x + 2*b + 37 = 11, -x - 4*b = 16. Solve x*s + 7*s - 7*s + 2*s**2 = 0 for s.
-2, 0
Let a be 2/(-9) + (5 - 200/45). Let m(i) be the second derivative of 0 - 1/3*i**4 + a*i**3 + 1/10*i**5 - i + 0*i**2. Determine v, given that m(v) = 0.
0, 1
Let h(m) be the first derivative of m**7/525 + m**6/300 - m**5/150 - m**4/60 + 7*m**2/2 + 8. Let g(j) be the second derivative of h(j). Factor g(v).
2*v*(v - 1)*(v + 1)**2/5
Let d(m) = m**2 - 1. Let y(v) = 0 - 2 - v**2 - 3*v + 2*v + 4. Let x(q) = 2*d(q) + y(q). Determine i so that x(i) = 0.
0, 1
Let w be 32/6*(-105)/(-10). What is d in 25*d**3 + 2 + 40*d**2 + d**3 - w*d**5 - 6 - 6*d - 72*d**4 = 0?
-1, -2/7, 1/2
Let t(m) be the first derivative of m**4/2 + 2*m**3/3 + 27. Determine y so that t(y) = 0.
-1, 0
Suppose 2*z = 3*n - 11,