**2 + u - 2. Let o be l(5). Factor -84*x**2 + 103*x - 16 - 2*x**o + 28*x**4 - 6*x**3 - 23*x.
4*(x - 1)**2*(x + 2)*(7*x - 2)
Let n(r) be the third derivative of -r**5/12 - 13*r**2. Determine f so that n(f) = 0.
0
Suppose 5*z + 20 = 5*x, 5*z - 2*x + 22 = 2*x. Let u = 9 + z. Let -2*h**3 - 2*h - 4*h - 1 + h**2 + 5*h**2 + u = 0. What is h?
1
Find d such that -145*d + 3 - 4 + 3*d**4 + 139*d + 6*d**3 - 2 = 0.
-1, 1
Factor -1/2*r**2 - 162 + 18*r.
-(r - 18)**2/2
Let c(u) be the first derivative of 2*u**3/27 - 4*u**2/9 + 8*u/9 + 1. Find z such that c(z) = 0.
2
Let b(f) = f**2 - f + 4. Let x be b(0). Factor 4*r**4 - r**3 - 2*r**x + 3*r**3.
2*r**3*(r + 1)
Let s(j) be the second derivative of -1/3*j**3 - 3*j + 1/10*j**5 - 1/45*j**6 + 2/3*j**2 - 1/18*j**4 + 0. Find q, given that s(q) = 0.
-1, 1, 2
Suppose 113 = -2*f + 121. Find r such that -2/15*r**5 + 2/15*r + 0*r**3 + 0 + 4/15*r**2 - 4/15*r**f = 0.
-1, 0, 1
Let n(v) = -v - 12. Let j be n(-14). Factor 0*x + 1/3*x**3 + 2/3*x**j + 0.
x**2*(x + 2)/3
Let p be (-2)/(-12) - (-3)/9. Let 0 + 0*u - 3/2*u**4 + p*u**3 + u**2 = 0. Calculate u.
-2/3, 0, 1
Let h(g) = -9*g**2 + 3*g. Let c(j) = -13*j**2 + 5*j. Let z(o) = -5*c(o) + 7*h(o). Suppose z(k) = 0. Calculate k.
0, 2
Suppose -5*j + 3 = -4*o + 1, -10 = -4*j - o. Let z be (2/3)/(j/9). Factor 1/2*h**z + 0*h**2 + 0 - 1/2*h.
h*(h - 1)*(h + 1)/2
Determine n, given that -16 + 4*n**2 + 88*n**2 + 7*n**4 - 264*n**3 + 48*n + 133*n**4 = 0.
-2/5, 2/7, 1
Suppose 2*f - 3*f = -5*b + 21, 3*b = -2*f + 10. Factor -c - b*c + 6*c - 4*c**2.
-c*(4*c - 1)
Let n(l) be the third derivative of l**7/4200 - l**6/1800 - l**5/300 - l**3/6 - 3*l**2. Let c(j) be the first derivative of n(j). Let c(b) = 0. What is b?
-1, 0, 2
Let b = 2/3 + -13/24. Let y = b + 11/40. Find z such that -2/5*z**2 + y*z + 0 = 0.
0, 1
Let i = 6 - 2. Factor -i*s + 3*s**3 + 0*s**3 - 4*s + 5*s.
3*s*(s - 1)*(s + 1)
Let b(r) be the first derivative of -r**3/6 + 3*r**2/4 - r - 37. Factor b(t).
-(t - 2)*(t - 1)/2
Let i be (67/(-8))/((-21)/28). Let c = i - 29/3. Suppose 3/2*m**2 + 1/2 + 1/2*m**3 + c*m = 0. What is m?
-1
Solve -6/7 + 2/7*g**4 + 16/7*g + 0*g**3 - 12/7*g**2 = 0.
-3, 1
Let w(a) = -a - 9. Let h be w(-11). Determine x so that x + 5*x**2 - x**4 - 4*x**4 + 3*x**3 - 2*x**5 - h*x**5 = 0.
-1, -1/4, 0, 1
Suppose -5*p + 5*g - 10 = 0, -p + 0*p = 2*g - 10. Let k(q) = -10*q - 257. Let n be k(-26). Factor x**n + 1/2*x**p - x - 1/2.
(x - 1)*(x + 1)*(2*x + 1)/2
Let n(x) be the first derivative of -x**3/9 - x**2/3 - x/3 - 34. Factor n(j).
-(j + 1)**2/3
Let b(o) be the third derivative of o**5/60 + 11*o**4/24 + 7*o**3/3 - 2*o**2. Let r be b(-10). Find q, given that 6*q**4 - 3*q**r - q**4 = 0.
0
Suppose -s - 2*s - 18 = -3*t, -t = 2*s. Determine p so that 3 + 0*p**3 + 5*p**2 - 2 - 3 + 7*p - t*p**3 = 0.
-1, 1/4, 2
Let x(z) be the first derivative of 3 + 1/15*z**3 + 0*z**2 - 1/5*z. Find j, given that x(j) = 0.
-1, 1
Let q(a) = 3*a**3 - 6*a**2 - 3*a. Let o(c) be the second derivative of 3*c**5/10 - 11*c**4/12 - 5*c**3/6 - 2*c. Let n(w) = -3*o(w) + 5*q(w). Factor n(j).
-3*j**2*(j - 1)
Let y(r) = -2*r**5 + r**4 + 5*r**3 + 4*r**2 + r - 1. Let c(n) = -n + 10 + n**3 - 9 + 4*n**4 - 5*n**4. Let b(z) = 2*c(z) + 2*y(z). Suppose b(i) = 0. What is i?
-1, 0, 2
Let f = 5/4 + 13/4. Suppose 7 - 1 = 2*u. Factor 2*b**u + 1/2 + f*b**2 + 3*b.
(b + 1)**2*(4*b + 1)/2
Let i(v) be the first derivative of 5*v**4/4 - 5*v**2/2 - 3. Factor i(j).
5*j*(j - 1)*(j + 1)
Factor 4*i**2 - 2*i**2 + 3*i**2 - 10*i.
5*i*(i - 2)
Let t(r) be the second derivative of -r**7/42 - r**6/30 + r**5/10 + r**4/6 - r**3/6 - r**2/2 - 9*r. Factor t(h).
-(h - 1)**2*(h + 1)**3
Solve 10 - x**3 + 5*x**3 + 6*x**3 - 20*x**2 - 5*x**5 + 44*x**4 - 34*x**4 - 5*x = 0 for x.
-1, 1, 2
Let f = 17 - 26. Let a = f - -9. Factor a*y**2 - 2/3*y**3 + 0 + 0*y.
-2*y**3/3
Let w(d) be the first derivative of 4/3*d**3 - 5*d**2 + 2 + 5/2*d**4 - 4*d. Factor w(p).
2*(p - 1)*(p + 1)*(5*p + 2)
Solve -9/8*y**4 + 3 + 17/2*y - 21/8*y**3 + 19/4*y**2 = 0 for y.
-3, -2/3, 2
Let l(m) = -m**3 + 6*m**2 + 8*m - 1. Let s be l(7). Let k be (-6)/(-9) + s/(-9). Factor 1/2*n**4 + k + 1/2*n**3 - 1/2*n - 1/2*n**2.
n*(n - 1)*(n + 1)**2/2
Let i(x) = -x + 1. Let z be i(-3). Solve 8/7*u**3 + 12/7*u**2 + 8/7*u + 2/7 + 2/7*u**z = 0.
-1
Let a(c) be the first derivative of 5/6*c**6 + 9/2*c**2 - 21/5*c**5 - 3 - c + 17/2*c**4 - 26/3*c**3. Factor a(b).
(b - 1)**4*(5*b - 1)
Suppose 3*o - 1 = 8. Determine n, given that -42*n**4 - 8*n**3 + 56*n**4 + 4*n**o = 0.
0, 2/7
Let d = 9 + -3. Factor d*s**4 - 19*s**2 + 0 - 6 + 0*s**5 - 6*s**3 - 21*s - 5*s**2 + 3*s**5.
3*(s - 2)*(s + 1)**4
Let c(o) be the second derivative of 1/105*o**6 + 2*o + 0*o**3 + 0*o**2 + 0 + 1/70*o**5 + 0*o**4. Factor c(p).
2*p**3*(p + 1)/7
Let o(x) = -x**3 - x + 1. Let t(i) = -i**3 + 17*i**2 + 10*i + 10. Let v(b) = 6*o(b) - t(b). Factor v(p).
-(p + 1)*(p + 2)*(5*p + 2)
Let z = -13/12 - -89/60. Factor 0*g + z*g**2 - 8/5.
2*(g - 2)*(g + 2)/5
Let q(v) = -v**2 - 28*v + 98. Let s(x) = 3*x**2 + 56*x - 196. Let l(n) = 14*q(n) + 6*s(n). Factor l(k).
4*(k - 7)**2
Let y(z) be the first derivative of 1/18*z**6 - 3 + 5/6*z**4 + 1/3*z + 10/9*z**3 + 1/3*z**5 + 5/6*z**2. Factor y(b).
(b + 1)**5/3
Let r(p) be the second derivative of p**4/36 + p**3/9 + p**2/6 + 8*p. Factor r(q).
(q + 1)**2/3
Let u(b) be the first derivative of -b**6/120 - b**5/40 + 5*b + 5. Let v(s) be the first derivative of u(s). What is x in v(x) = 0?
-2, 0
Suppose -5*t = l - 22, -4*l - l - 10 = -5*t. Let f(q) be the first derivative of 0*q**l + 0*q + 2/27*q**3 + 4 + 1/9*q**4. Let f(k) = 0. What is k?
-1/2, 0
Let b(x) = -2*x. Let o(t) = t**3 + 4*t**2 - 5*t + 2. Let q(n) = -20*b(n) + 4*o(n). Find l such that q(l) = 0.
-2, -1
Let q(n) be the third derivative of -n**9/10080 - n**8/2880 + n**7/5040 + n**6/360 - n**5/30 + 6*n**2. Let l(y) be the third derivative of q(y). Factor l(a).
-(a + 1)*(2*a - 1)*(3*a + 2)
Let m be 2/(-1) - (-10 + 3). Let z(c) = -2*c**5 - 6*c**3 - 4*c**2. Let w(j) = -3*j**5 - 7*j**3 - 5*j**2. Let o(y) = m*z(y) - 4*w(y). Solve o(b) = 0 for b.
-1, 0, 1
Suppose 0*d = 3*d - 12. Let -1 + d*h - 9*h**2 + 4*h**3 + h + h = 0. What is h?
1/4, 1
Let s(z) be the second derivative of 20*z**6/21 + 13*z**5/2 + 36*z**4/7 - 20*z**3/21 - 16*z**2/7 + 17*z. Suppose s(n) = 0. What is n?
-4, -2/5, 1/4
Let r(z) = 7*z**3 + 3*z**2 + 2*z + 6. Let t(j) = -8*j**3 - 3*j**2 - 2*j - 7. Let c(w) = 7*r(w) + 6*t(w). Factor c(g).
g*(g + 1)*(g + 2)
Let a(b) be the third derivative of b**8/6720 - b**6/240 - b**5/30 - 4*b**2. Let y(s) be the third derivative of a(s). Factor y(n).
3*(n - 1)*(n + 1)
Let c(f) be the second derivative of -3*f**5/100 + f**4/10 + 7*f**3/10 + 6*f**2/5 - 8*f. Solve c(a) = 0 for a.
-1, 4
Let n(i) be the second derivative of 1/4*i**4 + i + 1/10*i**5 + 1/4*i**2 + 1/60*i**6 + 1/3*i**3 + 0. Factor n(s).
(s + 1)**4/2
Let t(b) = b**3 + 5*b**2 - 7*b - 5. Let f be t(-6). Let p(j) = j - 1 - 2*j**2 + f + 0. Let c(g) = 2*g**2. Let w(h) = 3*c(h) + 2*p(h). Find o such that w(o) = 0.
-1, 0
Let u(a) = -10*a + 5. Let q be u(2). Let f be 2/(-5)*(q + 5). Solve 0*v + 0 + 0*v**2 - 2*v**5 + 0*v**3 - 1/2*v**f = 0 for v.
-1/4, 0
Let r(d) be the second derivative of d**8/168 - d**6/60 - d**2/2 + 3*d. Let i(m) be the first derivative of r(m). Factor i(z).
2*z**3*(z - 1)*(z + 1)
Let d = 101/30 - 19/6. Let h(t) be the second derivative of 0*t**2 - 1/6*t**4 - 2*t + 0 - d*t**5 - 1/15*t**6 + 0*t**3. Suppose h(q) = 0. What is q?
-1, 0
Let q(m) be the second derivative of -m**9/52920 + m**8/5880 - m**7/1764 + m**6/1260 - m**4/6 - 2*m. Let h(o) be the third derivative of q(o). Factor h(t).
-2*t*(t - 2)*(t - 1)**2/7
Let u(z) be the third derivative of z**5/10 - 2*z**4/3 - z**3 + 25*z**2. Solve u(d) = 0 for d.
-1/3, 3
Let j be (-3 - (-28)/8)/(2/12). Factor 0*o**2 + 0 + 2/13*o**j - 2/13*o.
2*o*(o - 1)*(o + 1)/13
Let f(o) be the second derivative of -o**5/130 + o**4/26 - 2*o**3/39 + 10*o. Factor f(p).
-2*p*(p - 2)*(p - 1)/13
Let v = 84 + -79. Let 0*f**2 + 2/5*f**v + 0*f - 4/5*f**4 + 0 + 2/5*f**3 = 0. Calculate f.
0, 1
Factor 0 - 266*d**3 + 343/3*d**5 + 244/3*d**2 - 8*d + 245*d**4.
d*(d + 3)*(7*d - 2)**3/3
Factor -8*o - 10*o**2 - 7*o + 19*o.
-2*o*(5*o - 2)
Let z be (-4)/(-3)*72/16. Factor -4*g**2 - 4*g**4 + g**2 + g**2 + 6*g - z*g**3 + 2*g**4 + 4.
-2*(g - 1)