, 1
Let i(p) be the first derivative of -2*p**6/3 - 4*p**5/5 + 3*p**4 + 20*p**3/3 + 4*p**2 + 5. Find z such that i(z) = 0.
-1, 0, 2
Let h(b) be the third derivative of b**6/300 - b**4/20 - 2*b**3/15 + 27*b**2. Factor h(l).
2*(l - 2)*(l + 1)**2/5
Let m = -200/51 + 78/17. What is l in 1/3*l**4 + 0*l + 1/3 - m*l**2 + 0*l**3 = 0?
-1, 1
Let k = -401/4 + 201/2. Factor -7/4*p**3 - k - 1/2*p**4 - 9/4*p**2 - 5/4*p.
-(p + 1)**3*(2*p + 1)/4
Suppose 1/5*a + 1/5*a**2 + 0 = 0. Calculate a.
-1, 0
Factor -9*b**2 + 21*b**2 - 3 - 13*b**2 + 4*b.
-(b - 3)*(b - 1)
Let m be (6/(-2 - -4))/(8 - 7). Factor -9/4*p**2 + 6*p - 4 + 1/4*p**m.
(p - 4)**2*(p - 1)/4
Factor 2/9*d**2 + 8/9*d**3 - 2/3*d**4 - 4/9*d + 0.
-2*d*(d - 1)**2*(3*d + 2)/9
Let c(j) = j**2 + j - 3. Let i be c(-3). Let u(n) be the first derivative of -2/9*n**i + 1 + 0*n + 1/12*n**4 + 1/6*n**2. Let u(d) = 0. Calculate d.
0, 1
Let g(p) be the first derivative of p**5/80 - p**3/24 - p - 4. Let m(o) be the first derivative of g(o). Factor m(b).
b*(b - 1)*(b + 1)/4
Let h(m) = m - 1. Let q be h(4). Factor x**q - 2*x**4 - 2*x**2 - x**3 + 4*x**2 - 2*x**5 + 2*x**3.
-2*x**2*(x - 1)*(x + 1)**2
Let y(t) be the third derivative of -2*t**7/105 - 4*t**6/15 - 22*t**5/15 - 4*t**4 - 6*t**3 + 4*t**2. Factor y(q).
-4*(q + 1)**2*(q + 3)**2
Let w(f) be the first derivative of -4*f**5/15 + 13*f**4/12 - 5*f**3/3 + 7*f**2/6 - f/3 + 11. Factor w(k).
-(k - 1)**3*(4*k - 1)/3
Factor -4/11*g**3 + 0*g + 0 - 2/11*g**4 + 0*g**2.
-2*g**3*(g + 2)/11
Factor 0 + 1/5*g**2 - 4/5*g.
g*(g - 4)/5
Let c(h) be the first derivative of -49*h**6/12 + 21*h**5/10 + 61*h**4/4 + 10*h**3 + 2*h**2 + 10. What is s in c(s) = 0?
-1, -2/7, 0, 2
Suppose -7*b**3 - 4*b**3 + b + 6*b**4 + 7*b**3 - 6*b**2 + 3*b = 0. Calculate b.
-1, 0, 2/3, 1
Suppose b - 3*n = -4, -b = -5*b + 4*n. Let v(k) be the third derivative of 0*k - 3*k**b + 0 + 0*k**3 - 1/150*k**5 + 1/300*k**6 + 0*k**4. Factor v(q).
2*q**2*(q - 1)/5
Let r(i) = i**3 + 9*i**2 + 7*i - 1. Let j be r(-8). Determine u, given that -4*u**3 + 2*u**3 + j*u**5 - 5*u**5 = 0.
-1, 0, 1
Let t(c) be the first derivative of -2 - 4/9*c**3 - c + 1/3*c**2 - 1/15*c**5 + 5/18*c**4. Let q(p) be the first derivative of t(p). What is f in q(f) = 0?
1/2, 1
Factor -1/4*q**3 + 7/4*q**2 - 15/4*q + 9/4.
-(q - 3)**2*(q - 1)/4
Let n = -409/63 - -47/7. Let f be (-2)/(2*-1)*0. Factor -n*p + f - 2/9*p**2.
-2*p*(p + 1)/9
Let v(a) = -3*a**2 - 7*a - 5. Let o be v(-5). Let l be ((-24)/o)/(12/50). Suppose -l*u**3 - 2/9*u**5 - 20/9*u**2 - 2/9 - 10/9*u - 10/9*u**4 = 0. Calculate u.
-1
Let v(m) be the third derivative of m**8/2240 + m**7/280 + m**6/80 + m**5/40 - m**4/24 + m**2. Let p(u) be the second derivative of v(u). Factor p(r).
3*(r + 1)**3
Let t(l) be the first derivative of l**4 - 4*l**3 + 36. Let t(w) = 0. Calculate w.
0, 3
Let t = 42 - 81/2. Let u = 7/4 - 1/4. Find h, given that 0 - t*h**2 + 0*h + u*h**3 = 0.
0, 1
Let g(a) be the second derivative of -a**9/7560 - a**8/1680 - a**7/1260 + a**4/4 + 2*a. Let i(m) be the third derivative of g(m). Find s, given that i(s) = 0.
-1, 0
Let m(b) be the third derivative of -1/60*b**5 + 7/40*b**6 + 0 - 1/12*b**4 + 0*b**3 + 5*b**2 + 0*b. Factor m(s).
s*(3*s - 1)*(7*s + 2)
Let u be (-4)/8 + (-55)/(-22). Factor -1/2*n + 1/4*n**3 + 0 + 1/4*n**5 - 3/4*n**4 + 3/4*n**u.
n*(n - 2)*(n - 1)**2*(n + 1)/4
Let o(s) be the first derivative of s**7/735 - s**6/210 + s**4/42 - s**3/21 - 2*s**2 + 2. Let v(f) be the second derivative of o(f). Factor v(z).
2*(z - 1)**3*(z + 1)/7
Suppose -l - 4*d - 14 = 0, 3*l = 5*d - 0*d + 26. Suppose 0*b - l*b + 20 = 0. Factor 6*a**2 + 3 - 5 - 1 + 4*a**4 + 2*a + 1 - b*a**3.
2*(a - 1)**3*(2*a + 1)
Determine m, given that -5*m**3 - 7*m**2 - 5*m**4 + 10*m**2 + 7*m**2 = 0.
-2, 0, 1
Let j(w) be the third derivative of -w**7/1260 + w**6/240 - w**5/180 - 13*w**2. Factor j(d).
-d**2*(d - 2)*(d - 1)/6
Let l be 80/10 - (-15)/(-3). Solve -3/2*p**2 - l + 9/2*p = 0.
1, 2
Suppose g = 3*r + 2, 5*g = r - 3*r + 10. Factor 0*q + 4/9*q**4 + 0 - 2/9*q**5 + r*q**2 - 2/9*q**3.
-2*q**3*(q - 1)**2/9
Let b = 6 - 4. Let 0*c**3 + 0*c**2 + b*c**2 + 2*c**3 = 0. What is c?
-1, 0
Let q = -333/7 - -49. Find b, given that -2/7 + q*b**3 + 4/7*b**2 - 5/7*b**5 - 2/7*b**4 - 5/7*b = 0.
-1, -2/5, 1
Suppose -3*g + 19 = a, 3*a + 4*g - 32 = a. Let t be 16/a - (-2)/5. Factor -1/3*z**t + 0*z + 0 - 1/3*z**3.
-z**2*(z + 1)/3
Let v = 7 - 2. Find t, given that v*t**2 - 1 - 7*t**2 + t**4 + 2 = 0.
-1, 1
Let t(k) = 15*k**4 - 4*k**3 - 15*k**2 + 4*k. Let a(g) = g**4 - g**2. Let s(z) = 5*a(z) - t(z). Factor s(v).
-2*v*(v - 1)*(v + 1)*(5*v - 2)
Let d(g) be the second derivative of 0*g**5 + 0 - 1/45*g**6 + 0*g**3 + 1/9*g**4 - 8*g - 1/3*g**2. Determine j, given that d(j) = 0.
-1, 1
Let r(s) be the second derivative of -s**6/45 - s**5/15 + s**4/6 + 4*s**3/9 - 4*s**2/3 - 2*s. Factor r(x).
-2*(x - 1)**2*(x + 2)**2/3
Factor 864 + 2/3*k**4 - 576*k - 16*k**3 + 144*k**2.
2*(k - 6)**4/3
Let z = -143 + 145. Factor -4/7 + 32/7*f**z - 10/7*f - 18/7*f**3.
-2*(f - 1)**2*(9*f + 2)/7
Let f(w) = -2*w**4 - 8*w**3 - 8*w**2 + 8*w + 10. Let x(s) = -2*s**4 - 8*s**3 - 9*s**2 + 8*s + 11. Let g(n) = 5*f(n) - 4*x(n). Factor g(z).
-2*(z - 1)*(z + 1)**2*(z + 3)
Let u(m) = -m**3 + 7*m**2 + m - 5. Let o be u(7). Factor 2*k - 4*k - 2*k**o + 3*k + k**3.
k*(k - 1)**2
Let s(h) be the second derivative of -3/100*h**5 + 1/60*h**4 + 1/10*h**3 - 7*h + 0 - 1/10*h**2. Let s(q) = 0. Calculate q.
-1, 1/3, 1
Let n(b) be the first derivative of -b**6/30 - b**5/30 + 5*b**4/12 - 2*b**3/3 + 2*b**2 - 7. Let a(o) be the second derivative of n(o). Factor a(z).
-2*(z - 1)*(z + 2)*(2*z - 1)
Let z(l) be the second derivative of -10*l + 1/12*l**3 + 0 + 1/48*l**4 + 0*l**2. What is o in z(o) = 0?
-2, 0
Let o(a) = -9*a**2 + 10*a - 1. Let z(d) = 80*d**2 - 90*d + 10. Let t(c) = -35*o(c) - 4*z(c). Factor t(k).
-5*(k - 1)**2
Factor -1/5*l**2 - 2/5*l + 0.
-l*(l + 2)/5
Solve 75/4 + 15/8*b - 3*b**2 + 3/8*b**3 = 0 for b.
-2, 5
Let d(r) be the third derivative of 3*r**8/56 - r**7/7 - 13*r**6/60 + 29*r**5/90 + 2*r**4/3 + 4*r**3/9 + 12*r**2 + 1. Find f such that d(f) = 0.
-2/3, -1/3, 1, 2
Suppose -23 = -2*x - 3*f, 3*x - 5*x - 2*f + 18 = 0. Factor x*w**2 - 2*w**3 + 0*w**3 + 0 + 0.
-2*w**2*(w - 2)
Let i(b) be the third derivative of b**5/75 - b**4/6 + 5*b**3/6 - 15*b**2. Factor i(a).
(2*a - 5)**2/5
Let l be 0/(-1 + -2)*1. Let p(q) be the third derivative of 0*q**3 + 0*q**5 + 1/60*q**6 - 2*q**2 + 0*q + 0*q**4 + l. Let p(y) = 0. Calculate y.
0
Let u(k) be the first derivative of -162*k**5/5 - 18*k**4 - 8*k**3/3 + 4. Solve u(s) = 0.
-2/9, 0
Factor 2*j - 3*j**4 - 2*j**3 - 2*j**4 + 3*j**4 + 2*j**2.
-2*j*(j - 1)*(j + 1)**2
Let k be 3*(-2)/3*-2. Suppose 0 = -5*s + 20, -5*g - 2*s + 10 = -k*g. Factor 3 + c**2 - 3*c - g + 5*c.
(c + 1)**2
Find v, given that 0*v**3 + 0*v**2 + 0*v + 0 + 6*v**5 + 3/2*v**4 = 0.
-1/4, 0
Let 288/11 - 48/11*j + 2/11*j**2 = 0. Calculate j.
12
Let j(x) = -2*x**2 + 54*x - 390. Let k(w) = -10*w**2 + 269*w - 1949. Let m(g) = -22*j(g) + 4*k(g). Find p such that m(p) = 0.
14
Let s(i) be the first derivative of 3*i**4/16 - 3*i**2/8 - 26. Factor s(u).
3*u*(u - 1)*(u + 1)/4
Let w be ((-1)/9)/(40/(-6)). Let t(a) be the third derivative of 3*a**2 + 0*a + 0*a**4 + 0 - w*a**5 + 1/6*a**3. Solve t(h) = 0.
-1, 1
Let b(t) be the first derivative of -1/3*t**3 + 1/15*t**5 - 1/3*t**2 + 3 + 0*t + 0*t**4. Let b(n) = 0. Calculate n.
-1, 0, 2
Let g(f) = f**3 + f + 1. Let p(q) = 24*q**3 - 6*q**2 - 3*q - 3. Let y(i) = -3*g(i) - p(i). Determine j so that y(j) = 0.
0, 2/9
Factor 4 + 2*z + z**2 - 1 + 0 - 2*z**2.
-(z - 3)*(z + 1)
Let p(a) be the third derivative of a**6/60 - a**5/6 + 41*a**2. What is z in p(z) = 0?
0, 5
Suppose 8*u + 19 = -45. Let p(y) = 14*y**2 - 14. Let z(c) = -3*c**2 - 2*c**2 + 5 + 0*c**2. Let n(f) = u*z(f) - 3*p(f). Find o such that n(o) = 0.
-1, 1
Let v(y) be the third derivative of -y**7/42 - y**6/8 + y**5/6 + 5*y**4/2 + 20*y**3/3 - 30*y**2. Suppose v(j) = 0. Calculate j.
-2, -1, 2
Let f(h) be the third derivative of h**8/840 - h**7/210 + h**6/180 - h**3/3 + h**2. Let y(n) be the first derivative of f(n). Factor y(a).
2*a**2*(a - 1)**2
Let z be -2 + (-26)/(-10) + (-39)/(-60). Solve -z*x**2 - 1/4*x**3 - 1 - 2*x = 0.
-2, -1
Let o(x) = -13*x - 1. Let r be o(-1). Let -8 - 4 - 2*i**2 - 10 - r*i + 4 = 0. Calc