= 0.
-1, 0, 1
Let l(j) = -4*j - 6. Let d(b) = b**2 + 5*b + 7. Suppose 3*a + 5 = 5*w - 13, 7 = 4*w + 5*a. Let x(k) = w*l(k) + 2*d(k). What is m in x(m) = 0?
-1, 2
Let p(i) be the second derivative of -i**6/45 - i**5/10 - 10*i - 3. Factor p(g).
-2*g**3*(g + 3)/3
Suppose 2*w + 12*w = 56. Let z(r) be the second derivative of 0*r**5 + 4*r + 1/30*r**6 - 1/6*r**w + 0 + 0*r**3 + 1/2*r**2. Factor z(c).
(c - 1)**2*(c + 1)**2
Let r(t) be the first derivative of 6 + 4*t**3 + 0*t + 1/2*t**6 + 9/4*t**4 - 6*t**2 - 12/5*t**5. Factor r(q).
3*q*(q - 2)**2*(q - 1)*(q + 1)
Let k(i) = 3*i**4 - 9*i**3 - 9*i**2 + 9*i + 6. Let j(d) = -d**3 - d**2 + d + 1. Let x be (-24)/(-32) + (-42)/(-8). Let u(l) = x*j(l) - k(l). Factor u(y).
-3*y*(y - 1)**2*(y + 1)
Factor -5*k**2 + 21*k**4 + k**2 + 4*k - 17*k**4 - 4*k**3.
4*k*(k - 1)**2*(k + 1)
Factor 1/2*o**2 + 0*o + 0.
o**2/2
Let u(h) = 18*h**3 - 20*h**2 - 9*h + 1. Let k(x) = x**2 + 1. Let q be -1 + -2 + -4 - -2. Let g(b) = q*k(b) - u(b). Find i such that g(i) = 0.
-2/3, 1/2, 1
Suppose 2*i - 21 = 19. Suppose 4*q + 5*o = -i, 5*q + 4*o + 14 + 2 = 0. Factor q + 4/7*x**3 + 0*x + 2/7*x**2 + 2/7*x**4.
2*x**2*(x + 1)**2/7
Let g = 52101/100 - 521. Let c(a) be the second derivative of g*a**5 + 0*a**4 + 0*a**3 + 0*a**6 + 0*a**2 + 0 - 2*a - 1/210*a**7. What is f in c(f) = 0?
-1, 0, 1
Let l(q) = -9*q**5 - 5*q**4 + 11*q**3 + 8*q**2 - 7*q - 13. Let w(x) = 4*x**5 + 2*x**4 - 6*x**3 - 4*x**2 + 4*x + 6. Let u(p) = -2*l(p) - 5*w(p). Factor u(z).
-2*(z - 2)*(z - 1)*(z + 1)**3
Let w(m) be the second derivative of 5*m**4/6 + 13*m**3/3 - 6*m**2 + 4*m. Factor w(g).
2*(g + 3)*(5*g - 2)
Let w(h) be the first derivative of 1 - 2/15*h**3 + 8/5*h + 1/20*h**4 - 2/5*h**2. Suppose w(t) = 0. What is t?
-2, 2
Let g = -997/5 - -200. Factor 6/5*a + 3/5*a**4 - 6/5*a**3 - g + 0*a**2.
3*(a - 1)**3*(a + 1)/5
Suppose x - 5*x = 28. Let b(p) = -p**2 - 7*p + 4. Let j be b(x). Let -16*k**4 + 2/3*k + 32/3*k**5 + 0 + 2/3*k**3 + j*k**2 = 0. What is k?
-1/4, 0, 1
Let u(q) be the third derivative of q**8/168 - 2*q**7/105 + q**6/60 + 3*q**2. Factor u(t).
2*t**3*(t - 1)**2
Suppose -6*w + 14 = -22. Let q(n) be the second derivative of 0*n**3 + 0*n**2 - 2*n + 0 + 1/30*n**w + 0*n**5 + 0*n**4. Solve q(c) = 0 for c.
0
Suppose 0 = 4*i - 2*i - 4. Factor n**2 + n**i + n**2 + 9*n.
3*n*(n + 3)
Let y(b) be the second derivative of -b**7/315 + b**6/90 - b**4/18 + b**3/9 - 5*b**2/2 + 2*b. Let m(u) be the first derivative of y(u). Factor m(v).
-2*(v - 1)**3*(v + 1)/3
Let q(d) = 6*d**2 + 4*d**2 - d**2 - 4*d**2 + 2*d - 3. Let i(c) = -16*c**2 - 6*c + 10. Let w(y) = 4*i(y) + 14*q(y). Suppose w(a) = 0. What is a?
-1, 1/3
Factor -2/3 + 13/3*y - 7/3*y**4 + 23/3*y**3 - 9*y**2.
-(y - 1)**3*(7*y - 2)/3
Let z(a) be the third derivative of -a**7/7560 - a**6/720 - a**4/12 - 3*a**2. Let c(l) be the second derivative of z(l). What is g in c(g) = 0?
-3, 0
Let r(b) = b**3 + 13*b**2 + 10*b - 9. Let c be r(-12). What is m in 6*m - 5 + 0 + 27*m**3 + c*m**4 + 21*m**2 + 5 + 3*m**5 = 0?
-2, -1, 0
Let f(a) = -2*a**2 - 2*a + 2. Let c be f(1). Let r be (-8 - -11)*c/(-9). Factor -2/3*b**3 - 2/3*b**4 + 0 + 2/3*b + r*b**2.
-2*b*(b - 1)*(b + 1)**2/3
Factor -120 + 120 - 4*s**4 - 2*s**2 - s**5 - 5*s**3.
-s**2*(s + 1)**2*(s + 2)
Let b(j) be the first derivative of 4*j**3/27 - 26*j**2/9 + 7. Determine a so that b(a) = 0.
0, 13
Let a(i) be the first derivative of 2/5*i**4 - 2 + 2/5*i**3 - 4/5*i**2 + 2/25*i**5 - 8/5*i. Factor a(l).
2*(l - 1)*(l + 1)*(l + 2)**2/5
Let q be 6 + (97/7 - 7). Suppose -204/7*f**4 + 22/7*f - 124/7*f**3 + 8/7*f**2 - q*f**5 + 4/7 = 0. What is f?
-1, -1/3, 2/5
Let q(p) = -2*p**2 + 5*p - 4. Let u(j) = -j**2 + j. Let b(l) = -5*q(l) + 5*u(l). Factor b(i).
5*(i - 2)**2
Let k(u) be the first derivative of -1 - 1/6*u**4 + 0*u**3 + 1/3*u**2 + 0*u. Factor k(x).
-2*x*(x - 1)*(x + 1)/3
Let o = 23 + -13. Suppose -o - 14 = -4*b. Determine a so that 1 + 3 - 4*a**2 - b*a + 6*a**2 = 0.
1, 2
Let y = -817/9 + 91. Factor -2/9*b**4 + 2/9*b**3 + y*b**2 - 2/9*b**5 + 0 + 0*b.
-2*b**2*(b - 1)*(b + 1)**2/9
Determine c, given that 8/5*c - 4*c**2 + 0 - 8/5*c**3 + 4*c**4 = 0.
-1, 0, 2/5, 1
Let v(s) be the third derivative of s**5/30 + s**4/6 + s**3/2 - s**2. Let o be v(-2). Let 0*x**2 + 6/7*x**o - 8/7*x + 2/7*x**4 + 0 = 0. Calculate x.
-2, 0, 1
Let g(z) be the second derivative of -7/3*z**3 + 3/2*z**4 + 0 + 1/15*z**6 + 2*z**2 - z - 1/2*z**5. Let g(d) = 0. What is d?
1, 2
Suppose 3*b + 5 = t, t + 0 = 5*b + 5. Suppose -13*h**2 + t*h**3 + 5*h**2 + 3*h - 2*h + 2 = 0. What is h?
-2/5, 1
Let j be 1 - (-2 - (-171)/(-15)). Let s = 609/5 - 121. Find t such that -s*t - 2/5 - j*t**5 + 32/5*t**2 - 6*t**4 + 76/5*t**3 = 0.
-1, -1/3, 1/4, 1
Let h be (74/370)/((-3)/(-5)). Let 1/3 + 2/3*r + h*r**2 = 0. Calculate r.
-1
Let m(u) be the third derivative of 2*u**2 + 1/4*u**4 - 1/20*u**6 + 0 - 1/70*u**7 + 0*u**5 + 0*u + 1/2*u**3. Factor m(c).
-3*(c - 1)*(c + 1)**3
Let h be 76/(-665)*(-7 + 2). What is b in -6/7*b**3 + h*b**2 + 0*b + 0 = 0?
0, 2/3
Let s be 3/6*-2 - -3. Let r(t) be the second derivative of 0 + 1/20*t**5 + 2*t - 1/6*t**3 + 0*t**s + 0*t**4. Let r(w) = 0. What is w?
-1, 0, 1
Let l(w) = -21*w**4 + 20*w**3 - 20*w + 21. Let s(n) = 4*n**4 - 4*n**3 + 4*n - 4. Let b(v) = -2*l(v) - 11*s(v). Determine f so that b(f) = 0.
-1, 1
Let q(d) = 1. Let s(u) = 2*u**2 - 4*u + 8. Let x(m) = -6*q(m) + s(m). Factor x(v).
2*(v - 1)**2
Suppose -4*t = -14 - 2. Let m(p) be the third derivative of 0 - 1/2*p**3 - 1/80*p**5 + p**2 + 0*p - 1/8*p**t. Factor m(h).
-3*(h + 2)**2/4
Let a(g) = 2*g**3 - 26*g**2 + 8*g - 104. Let s be a(13). Factor s - 4/11*o**2 - 6/11*o**3 + 2/11*o.
-2*o*(o + 1)*(3*o - 1)/11
Factor 8*d**4 - 12*d**4 - 3*d**2 - d**2 - 8*d**3 + 0*d**3.
-4*d**2*(d + 1)**2
Let g be ((-11)/(-6))/(1/2). Solve g*f**3 + 0*f + 0 + 2/3*f**2 + 5*f**4 = 0.
-2/5, -1/3, 0
Let q(y) be the third derivative of y**5/210 - 11*y**4/42 + 121*y**3/21 - 21*y**2. Solve q(j) = 0.
11
Let y be 0*3/(-12)*-2. Let p = 3 + 0. Find w, given that 1/4*w**4 + 1/4*w**2 + y - 1/2*w**p + 0*w = 0.
0, 1
Factor 2 + v - 3 - 2*v**2 - 3 - 7*v.
-2*(v + 1)*(v + 2)
Let k(l) be the second derivative of -5*l**7/126 + l**6/6 - l**5/12 - 5*l**4/12 + 5*l**3/9 - l. Solve k(g) = 0.
-1, 0, 1, 2
Suppose -2*q + 0*q - f + 9 = 0, 12 = 2*q + 2*f. Factor 0*o**3 - 1 + 2*o**q - 7*o**5 + 1 + 5*o**4.
-o**3*(o - 1)*(7*o + 2)
Let j be (2 - 1)*(-2)/(-4 - 4). Factor -1/4*u**3 - 1/2*u**2 + 0 - j*u.
-u*(u + 1)**2/4
Factor 1/9*o + 4/9 - 1/9*o**3 - 4/9*o**2.
-(o - 1)*(o + 1)*(o + 4)/9
Let r(p) = -p**3 - 5*p**2 - 2*p + 4. Let j be r(-4). Let y be (j/10)/(4/(-20)). Factor -2 + y + 2*l**2 - 2.
2*(l - 1)*(l + 1)
Let d be (0 - 1)/3*-3. Let g be (-1)/((-2 + d)/2). Factor 6 + s**4 - 2*s**3 - 6 + s**g.
s**2*(s - 1)**2
Let j(n) = -n**3 + n**2 + 1. Let y(u) = 6*u**3 - 8*u**2 - 7. Suppose 0 = -o + 2 - 0. Let f(q) = o*y(q) + 14*j(q). Suppose f(p) = 0. What is p?
-1, 0
Let n(g) = -g**2 - 6*g + 7. Let k be n(-7). Let 0 + k - 7*a**3 + 6*a**3 + 4*a = 0. Calculate a.
-2, 0, 2
Let x(m) be the first derivative of -m**8/560 + m**7/140 - m**6/120 + 2*m**3/3 - 3. Let v(w) be the third derivative of x(w). Let v(y) = 0. What is y?
0, 1
Let b = -2140/7 - -306. Let 0*d + 2/7*d**2 - 4/7*d**3 + b*d**4 + 0 = 0. Calculate d.
0, 1
Let v(x) = -35*x**4 - 100*x**3 - 80*x**2 + 15*x - 15. Let s(w) = -9*w**4 - 25*w**3 - 20*w**2 + 4*w - 4. Let i(j) = 15*s(j) - 4*v(j). Factor i(u).
5*u**2*(u + 1)*(u + 4)
Let w = 7 - 7. Let d(b) be the second derivative of 0*b**3 - 1/20*b**6 + 0 + 1/8*b**5 + w*b**2 - 1/12*b**4 - 3*b. Factor d(q).
-q**2*(q - 1)*(3*q - 2)/2
Let z be ((-4)/(-6))/(1/(-3)). Let o be 5/(-20) - 1/z. Factor 1/4*y**3 + 0*y - o*y**5 + 0 - 1/4*y**2 + 1/4*y**4.
-y**2*(y - 1)**2*(y + 1)/4
Let f be (96/10)/(56/24). Let i = -26/7 + f. Factor i*u + 6/5*u**2 + 2/5*u**4 + 6/5*u**3 + 0.
2*u*(u + 1)**3/5
Let k be (-2*4 + 2)*-1. Suppose 4*a - 2*l - k = 0, -a + 2*l = -3*a + 12. Factor d**2 + d + a*d + 0*d + 4.
(d + 2)**2
Let q(v) = 2*v**5 - 16*v**4 - 10*v**3 - 9*v**2 - 2*v. Let x(n) = n**5 - n**4 + n**3. Let u(j) = -3*q(j) + 15*x(j). Find m such that u(m) = 0.
-1, -2/3, 0
Let r(v) = 2*v**3 + v**2 - 7*v. Let w(h) = 5*h**3 + 3*h**2 - 15*h. Suppose -3*u - 39 = -6*u. Let p(z) = u*r(z) - 6*w(z). Find a such that p(a) = 0.
-1, -1/4, 0
Let o = -126 - -382/3. Suppose -2/3*h**3 - o*