6*r**3 - 2*r**4 - r**2.
2*r**2*(r + 1)*(r + 2)
Let i(q) = q**2 - 12*q + 11. Let s be i(11). Let 0 + 0*p**2 + s*p + 2/9*p**3 = 0. Calculate p.
0
Let t be (-1)/(((-4)/3)/4). Let n(s) be the first derivative of 1 + 0*s**t + 1/8*s**4 + 0*s - 1/4*s**2. Factor n(k).
k*(k - 1)*(k + 1)/2
Let v(w) be the first derivative of -3*w + 2 + 1/9*w**3 + 0*w**2 - 1/30*w**5 + 1/45*w**6 - 1/18*w**4. Let c(p) be the first derivative of v(p). Factor c(g).
2*g*(g - 1)**2*(g + 1)/3
Let n(y) be the third derivative of y**5/210 + y**4/42 + y**3/21 + 4*y**2. What is f in n(f) = 0?
-1
Let l(z) be the first derivative of -z**6/3 - 4*z**5/5 + z**4 + 16*z**3/3 + 7*z**2 + 4*z + 36. Determine i, given that l(i) = 0.
-1, 2
Let j be (0 + 0)/(-18 - -23). Determine a so that j - 1/4*a**3 - 1/4*a**2 + 1/2*a = 0.
-2, 0, 1
Let x be ((-8)/(-42))/(2 + (-8)/6). Factor x*o**2 - 2/7 + 0*o.
2*(o - 1)*(o + 1)/7
Let d(o) = -o**3 + 5*o**2 + 7*o - 8. Let l be d(6). Let c(g) = -g**3 - g**2 + 2*g + 2. Let t be c(l). Find i such that 3/4*i**3 - 3/4*i + 1/2 - 1/2*i**t = 0.
-1, 2/3, 1
Suppose -j - 4*j = 0. Suppose 0 = 5*c - j - 25, 3*x - 5*c = -16. Factor -2*w + 0*w**3 + 2*w**x + 0*w**3 + 6*w**2 - 6*w**4.
-2*w*(w - 1)*(w + 1)*(3*w - 1)
Suppose -3*o + 0*o = -9. Find l such that -4*l + 2*l**o + 2*l**2 + 2*l**3 + 8 - 10*l**2 = 0.
-1, 1, 2
Let j(g) be the first derivative of -4 + 0*g**2 - 3/10*g**4 + 4/15*g**3 + 0*g + 2/25*g**5. Factor j(v).
2*v**2*(v - 2)*(v - 1)/5
Let -2/11 + 2/11*a**2 - 2/11*a**3 + 2/11*a = 0. What is a?
-1, 1
Let r(l) be the third derivative of -l**5/105 + 13*l**2. Factor r(w).
-4*w**2/7
Let o = 5 - 2. Suppose 4*d - y = 4, -3*d - o + 21 = 3*y. Factor 2/7*g + 0 + 2/7*g**d.
2*g*(g + 1)/7
Let k be (1/6)/(52/(-12) + 5). Solve 0 + 1/4*s**2 + k*s = 0.
-1, 0
Suppose -4*q = -0*q - 5*z - 27, 3*q + 5*z + 6 = 0. Factor -2*g**q - g**2 + 4*g**4 - 2*g - 3*g**4 + 4*g**3.
g*(g - 1)*(g + 1)*(g + 2)
Let z = -11 + 13. Suppose -t**z - 2*t + 3*t**3 - 4*t**3 + 0*t + 2*t**3 = 0. What is t?
-1, 0, 2
Let w(q) = -5*q**3 + 11*q**2 + 16*q. Let v(d) = -d**3 + 3*d**2 + 4*d. Let t(f) = -9*v(f) + 2*w(f). Factor t(b).
-b*(b + 1)*(b + 4)
Let n(l) = l**2 + l - 87. Let r be n(9). Factor 2/3*d**3 - r*d**2 + 4*d - 4/3.
(d - 2)**2*(2*d - 1)/3
Let g(o) = 5*o**4 - 15*o**3 + 57*o**2 - 51*o + 3. Let z(q) = -4*q**4 + 16*q**3 - 56*q**2 + 52*q - 2. Let d(f) = 2*g(f) + 3*z(f). Factor d(m).
-2*m*(m - 3)**3
Let j(b) = b**4 + b**3 - b**2 - b + 1. Let w(h) = -8*h**4 - 8*h**3 + 8*h**2 + 8*h - 10. Let x(z) = 20*j(z) + 2*w(z). Let x(m) = 0. What is m?
-1, 0, 1
Let b be -2 + 1 - (-4 + 2). Let d be 5/b + (-12)/4. Find p such that -4*p**d + 0*p**3 + 0*p + 2*p**3 + 2*p = 0.
0, 1
Let t(n) be the first derivative of -n**6/2 + 3*n**4/2 - 3*n**2/2 - 29. Factor t(l).
-3*l*(l - 1)**2*(l + 1)**2
Let u = 1/74 - -35/148. Factor -u*p + 1/2*p**2 + 0 - 1/4*p**3.
-p*(p - 1)**2/4
Let c(q) = -35*q**5 + 20*q**4 - 15*q**3 - 10*q**2 - 50*q. Let m(j) = j**5 - j**4 + j**3 + j**2 + j. Let k(t) = -c(t) - 30*m(t). Solve k(v) = 0.
-2, 0, 1
Let a(f) = 6*f + 6. Let n be a(0). Let v(p) be the first derivative of 1/5*p**4 + 1/15*p**3 + 1/15*p**n + 1/5*p**5 + 0*p + 4 + 0*p**2. Solve v(c) = 0 for c.
-1, -1/2, 0
Determine z so that 2*z**3 - 6*z + 6*z + 0*z + 6*z**2 = 0.
-3, 0
Let p(q) be the third derivative of q**8/1176 - 2*q**7/735 + q**5/105 - q**4/84 + 3*q**2. Factor p(s).
2*s*(s - 1)**3*(s + 1)/7
Let w = 57 + -52. Let g(s) be the second derivative of 1/2*s**2 + 5/12*s**3 + 0 + s + 1/40*s**w + 1/6*s**4. Factor g(a).
(a + 1)**2*(a + 2)/2
Suppose -37 = -5*b + 53. Factor 12*o**4 - b*o**3 + 3*o**3 - 3*o**5 + 0*o**5 + 6*o**2.
-3*o**2*(o - 2)*(o - 1)**2
Suppose w - 16 = -0*w. Factor 5*r**5 + 14*r**4 + 2*r**2 - 4*r**5 - w*r**4 - r.
r*(r - 1)**3*(r + 1)
Let b**3 + 0*b**3 + 6*b**5 - 5*b**3 - 2*b**5 = 0. What is b?
-1, 0, 1
Let i(a) be the first derivative of 5*a**6/6 + 2*a**5 - 5*a**4/2 - 40*a**3/3 - 35*a**2/2 - 10*a + 21. Solve i(p) = 0.
-1, 2
Let f(l) be the second derivative of -3*l**5/40 + l**4/16 + l**3 - 3*l**2/2 + 14*l. Factor f(v).
-3*(v - 2)*(v + 2)*(2*v - 1)/4
Let k(v) = 9*v**4 - 11*v**3 + v**2 - 14*v + 7. Let f(g) = -4*g**4 + 5*g**3 + 6*g - 3. Let b(i) = -14*f(i) - 6*k(i). Let b(t) = 0. What is t?
-1, 0, 3
Let x be ((-69)/(-368))/(3/4). Let n(s) be the first derivative of 1/4*s + 1 + 1/12*s**3 + x*s**2. Factor n(f).
(f + 1)**2/4
Let f = 1712/9 - 190. Solve 8/9 + 8/9*g + f*g**2 = 0.
-2
Let m = -101/470 - -19/94. Let w = 913/2115 - m. Find b such that -2/3*b**2 - 2/3*b + w - 2/3*b**4 + 14/9*b**3 = 0.
-2/3, 1
Let z(s) = -4*s**2 + s. Let r(p) = -2*p**2 + p. Let a(u) = 7*u**2 - u - 1. Let n be a(-1). Let h(k) = n*r(k) - 3*z(k). Factor h(b).
-2*b*(b - 2)
Let s(m) be the second derivative of -m**5/50 - 2*m**4/15 - m**3/3 - 2*m**2/5 - 4*m. Factor s(w).
-2*(w + 1)**2*(w + 2)/5
Let n(v) be the second derivative of -5*v**4/12 + 25*v**3/6 - 10*v**2 - 35*v. Let n(f) = 0. What is f?
1, 4
Let m be (-34)/(-10) - 4/10. Let w = 6 - m. Solve 4*q**3 + q - 2*q - 2*q**2 - 5*q**w + 0*q**3 = 0.
-1, 0
Let m(t) be the second derivative of -3*t - 1/70*t**5 - 1/7*t**3 + 1/7*t**2 + 1/14*t**4 + 0. Factor m(v).
-2*(v - 1)**3/7
Let q be (-3)/(-4) - (-5)/4. Suppose 0 = -4*t - 3*m + 2, 0 = 2*t + t + m - 4. Factor -2*p - p**t + q*p**2 + 0*p.
p*(p - 2)
Let r be (0 - 3)*(-12 - -11). Factor -3/4*z**2 + 3/2*z**r + 0*z + 0.
3*z**2*(2*z - 1)/4
Let b be -14*(2 + 0)/4. Let h be (-13 - b)*2/(-3). Let 1/3*i - 1/3*i**3 + 4/3*i**2 + 0 - 4/3*i**h = 0. What is i?
-1, -1/4, 0, 1
Let g(h) be the first derivative of -h**4/2 - 14*h**3/3 + 17*h**2 - 18*h - 20. Factor g(i).
-2*(i - 1)**2*(i + 9)
Factor -9/5 - 3/5*q**3 + 3/5*q + 9/5*q**2.
-3*(q - 3)*(q - 1)*(q + 1)/5
Let r(k) be the first derivative of k**6/90 - k**5/40 - k**4/24 - k**3 + 1. Let a(s) be the third derivative of r(s). Determine c, given that a(c) = 0.
-1/4, 1
Let n(g) be the first derivative of -g**5/10 + g**4/8 + g**3/6 - g**2/4 + 6. Find j, given that n(j) = 0.
-1, 0, 1
Let g(w) be the second derivative of -w**7/2520 - w**6/180 - w**5/40 + w**4/4 + 3*w. Let o(l) be the third derivative of g(l). Factor o(t).
-(t + 1)*(t + 3)
Let l(m) be the first derivative of m**6/33 - 4*m**5/55 - 20. Factor l(c).
2*c**4*(c - 2)/11
Suppose 2*a + 8 = 3*u - u, 0 = u + 4*a + 21. Let h be 18/3 + u + -3. Solve 4/11*d**3 + 14/11*d**h - 4/11*d - 14/11*d**4 + 0 = 0 for d.
-1, 0, 2/7, 1
Let h(l) = -7*l + 35. Let u be h(5). Let p(i) be the first derivative of -2/3*i**3 + 1/4*i**4 - 4 + u*i + 1/2*i**2. Let p(t) = 0. Calculate t.
0, 1
Let o(z) be the second derivative of -z**5/60 + z**4/24 - z**2 + z. Let r(t) be the first derivative of o(t). What is x in r(x) = 0?
0, 1
Let i(h) = -5*h**2 + h + 13. Let v(y) = 3*y**2 - 7. Let x(p) = -4*i(p) - 7*v(p). Factor x(g).
-(g + 1)*(g + 3)
Let r(y) be the first derivative of 2*y**3/21 - 3*y**2/7 + 4*y/7 + 4. Factor r(b).
2*(b - 2)*(b - 1)/7
Let p be -3 + 121/24 + -2. Let r(h) be the first derivative of p*h**6 + 3/20*h**5 + 0*h**2 + 0*h + 3/16*h**4 + 1/12*h**3 + 2. What is x in r(x) = 0?
-1, 0
Let q be 10/3 + 1/(-3). Suppose -5*y + 10 = -3*j, 9*j = 2*y + 4*j - 4. Determine r so that r**4 - 4*r**q + 0*r**4 + r**5 - r**y + 3*r**3 = 0.
-1, 0, 1
Let v(b) = -532*b**4 - 712*b**3 - 203*b**2 - 7*b + 8. Let q(o) = -177*o**4 - 237*o**3 - 68*o**2 - 2*o + 3. Let a(x) = -8*q(x) + 3*v(x). Factor a(z).
-5*z*(z + 1)*(6*z + 1)**2
Suppose -5*p + 0*p + 120 = 0. Let t be (p/90)/((-12)/(-10)). Determine r so that 0*r**3 + 0 + 0*r + t*r**2 - 2/9*r**4 = 0.
-1, 0, 1
Let o be 2 + 1 + 1 + -1. Let i be ((-1)/3)/((-4)/o). Determine p, given that i*p**2 + 3/4*p + 1/2 = 0.
-2, -1
Let x be (-4)/(-2) + -6 + -2 + 9. Suppose -1/5*i + 0 + 0*i**2 + 0*i**4 + 2/5*i**x - 1/5*i**5 = 0. What is i?
-1, 0, 1
Suppose 4*b = -o + 3, -o - 4 = 1. Suppose -h - b = -4. Factor -1 + 5 - h*c**2 - 2.
-2*(c - 1)*(c + 1)
Let f(r) be the second derivative of r**7/420 + r**6/180 - r**3/6 - 3*r. Let d(m) be the second derivative of f(m). Factor d(w).
2*w**2*(w + 1)
Let d be (-7 - -56)*(-18)/(-21). Let p be (-16)/(-21) - (-24)/d. Factor -2/3 - 4/3*i + 0*i**2 + p*i**3 + 2/3*i**4.
2*(i - 1)*(i + 1)**3/3
Determine o so that 18 - 4*o**3 - 4*o**4 - 9 - 9 = 0.
-1, 0
Let n(v) = 50*v**2 - 225*v - 136. Let p(t) = -10*t**2 + 45*t + 27. Let i(r) = 2*n(r) + 11*p(r). Solve i(f) = 0 for f.
-1/2, 5
Determine 