e f(d) = 0. What is d?
-1, 0
Let 12*k + 2*k**2 + 2*k**2 - 10*k + 2*k**3 = 0. Calculate k.
-1, 0
Let p = -39 - -57. Factor -10*m - p*m**2 + 15*m**3 + 4 - 3*m**3 - 2*m**3 + 14*m**4.
2*(m - 1)*(m + 1)**2*(7*m - 2)
Let k(b) be the third derivative of -b**7/840 + b**6/480 + b**5/240 - b**4/96 - 5*b**2. What is x in k(x) = 0?
-1, 0, 1
Let l(j) be the first derivative of 4/5*j**5 + 0*j**3 + 6*j - 3*j**2 + 1/2*j**4 + 2. Let m(o) = -o**4 + o - 1. Let v(s) = -l(s) - 6*m(s). Factor v(k).
2*k**3*(k - 1)
Suppose -30/7*c**2 + 64/7*c - 24/7 - 18/7*c**3 = 0. Calculate c.
-3, 2/3
Let n(d) = -4*d**2 + 8*d + 5. Let p(j) = 9*j**2 - 16*j - 11. Let f(r) = -7*n(r) - 3*p(r). Let g be f(9). Solve -l**3 - 2 + g*l**3 + 2 + 8*l**2 + 2*l = 0 for l.
-1, -1/3, 0
Let r be (-2 - 12/(-5))*10. Factor q + q**r - 3*q**3 + q**3 - q**2 + q**3.
q*(q - 1)**2*(q + 1)
Let p = -4 + 9. Let z(c) = c**2 - 4*c + c**3 - 7*c**3 - 3*c**4 - 5 + 5*c + 2*c. Let d(r) = -4*r**4 - 6*r**3 + 4*r - 6. Let j(m) = p*d(m) - 6*z(m). Factor j(i).
-2*i*(i - 1)**3
Let f = -308 + 86. Let o = 2012/9 + f. Factor -4/9*h + 0 - o*h**2.
-2*h*(7*h + 2)/9
Find a such that 2/7*a**4 + 2/7*a**3 - 2/7*a + 4/7 - 6/7*a**2 = 0.
-2, -1, 1
Let m(s) be the second derivative of 5*s**4/12 + 5*s**3/6 - 5*s**2 - 11*s. What is q in m(q) = 0?
-2, 1
Let a(s) be the first derivative of 5/6*s**6 + 0*s - 1/2*s**4 - 1 + 0*s**2 + 0*s**3 - 3/5*s**5. Factor a(k).
k**3*(k - 1)*(5*k + 2)
Solve -65*s**3 + 5*s**2 + 18*s**2 + 25*s + 41*s**2 - 9*s**2 - 15*s**4 = 0.
-5, -1/3, 0, 1
Let q = -7 - -10. Suppose h**2 + 0*h**3 - h**5 - 2 + h**2 + 4*h**q - 3*h + 0*h**2 = 0. What is h?
-1, 1, 2
Find o, given that 2/11*o - 6/11 + 6/11*o**2 - 2/11*o**3 = 0.
-1, 1, 3
Let y = 217 - 643/3. Let w = -634/3 - -214. Suppose y*j**4 - 4*j**2 - 2/3*j + 4/3 + w*j**3 - 2*j**5 = 0. Calculate j.
-1, -2/3, 1
Let u be (55/15 - 3)*3. Let m(s) be the second derivative of -s + 0 + u*s**2 - 7/18*s**4 - 19/9*s**3. Factor m(b).
-2*(b + 3)*(7*b - 2)/3
Let w(i) be the second derivative of -5*i**7/42 - i**6/6 + 3*i**5/4 + 5*i**4/12 - 5*i**3/3 + i. Determine x, given that w(x) = 0.
-2, -1, 0, 1
Let y = 16 + -13. Suppose -y*d = d + a, -d + 3*a = 0. Solve -1/4*m**4 + 3/4*m**3 + 1/4*m**2 - 1/4*m + d - 1/2*m**5 = 0 for m.
-1, 0, 1/2, 1
Factor -1/4*g**3 - 1/4*g**2 + 0*g + 0 - 3/4*g**5 + 5/4*g**4.
-g**2*(g - 1)**2*(3*g + 1)/4
Let g(u) be the first derivative of -u**6/27 + 4*u**5/45 - u**4/18 + 49. Find r such that g(r) = 0.
0, 1
Let v be 37 + -36 + 1 + 1. Factor -2/5*a**2 + 2/5*a**4 + 0 + 2/5*a**v - 2/5*a**5 + 0*a.
-2*a**2*(a - 1)**2*(a + 1)/5
Let n be (8/(-14))/((-70)/49*1). Determine r, given that n*r**2 + 4/5*r + 2/5 = 0.
-1
Let g be 1 + 0 + (-117)/116. Let j = 457/812 - g. Factor -j*i - 2/7*i**2 - 2/7.
-2*(i + 1)**2/7
Suppose -4*q + 2 = -6. Factor -3*h**2 - q*h**2 - 2*h - 1 + h**2 + 3*h**2.
-(h + 1)**2
Let l(p) = -p**2 + p + 4. Let f be l(0). Let r be ((-15)/6 + 3)*f. Find c, given that -4/3*c**3 - 2/3*c**r + 0 + 2/3*c = 0.
-1, 0, 1/2
Factor 4/5*r - 2/5*r**2 + 6/5.
-2*(r - 3)*(r + 1)/5
Let n(w) = 3*w**2 + 0*w**2 - 10 - 4*w**2 - 3*w + 12. Let z(a) = 2*a**2 + 3*a - 2. Let p = 5 + -7. Let g(i) = p*z(i) - 3*n(i). Factor g(u).
-(u - 2)*(u - 1)
Let a(y) = y - 5*y**3 - 1 + 3*y**5 - 7*y**3 + 11*y**3 - 2*y**4 - 12*y**5 - y**2. Let q(v) = v**4 - v**3 - v**2 + v - 1. Let p(t) = -a(t) + q(t). Factor p(z).
3*z**4*(3*z + 1)
Let g = 4430/9 + -492. Factor 0 - 2/9*k - g*k**4 + 2/9*k**2 + 2/9*k**3.
-2*k*(k - 1)**2*(k + 1)/9
Suppose 1/3*r**3 + 2/3*r + 0 + r**2 = 0. Calculate r.
-2, -1, 0
Let b(y) be the first derivative of y**3/30 + 9*y**2/20 - y + 20. Factor b(w).
(w - 1)*(w + 10)/10
Let m be (-5 + 6 - 4)/((-3)/4). Let d(v) be the second derivative of 0 + 1/60*v**m + 0*v**2 + 1/15*v**3 + v. Suppose d(l) = 0. Calculate l.
-2, 0
Let f = -25 - -33. Suppose f = -m + 4*m - t, 4*m = -3*t + 2. Factor 4/13*l**3 - 2/13*l + 0*l**m + 0 + 0*l**4 - 2/13*l**5.
-2*l*(l - 1)**2*(l + 1)**2/13
Suppose 0 + 12*r**4 + 4/3*r**5 + 0*r + 36*r**3 + 36*r**2 = 0. What is r?
-3, 0
Let g(b) be the second derivative of -3*b**7/7 - b**6/5 + 8*b**5 - 4*b**4/3 - 112*b**3/3 - 48*b**2 - 44*b. Let g(u) = 0. Calculate u.
-3, -2/3, 2
Suppose 0 = -2*t + 4*t. Suppose t*h + h = 0. Factor 2*w + 6 - 6 + h + 2*w**2.
2*w*(w + 1)
Suppose 0*i - i = 12. Let l = 17 + i. Factor 4*n**5 - n**l + 0*n**5 - 2*n**3 + 3*n - 4*n**3.
3*n*(n - 1)**2*(n + 1)**2
Let c(o) = 2*o**2 - o + 1. Let d be c(1). Let -g**5 - 3*g**5 - 2*g**4 + 2*g**d + 4*g**3 + 0*g**2 = 0. Calculate g.
-1, -1/2, 0, 1
Factor 0*w**4 + 5*w + 5*w**3 - 2*w**3 + 1 + 10*w**2 + w**5 + 5*w**4 + 7*w**3.
(w + 1)**5
Let w be (2 + (-3)/2)*17/1530. Let t(y) be the third derivative of w*y**6 + 0*y**5 + 0 + 0*y + 0*y**4 - 1/315*y**7 + 0*y**3 - 3*y**2. Factor t(m).
-2*m**3*(m - 1)/3
Let p(r) be the second derivative of 2*r**7/63 + r**6/15 + r**5/30 + 5*r. Let p(t) = 0. What is t?
-1, -1/2, 0
Let g(u) = -4 + u**2 - 8 + 2 + 1 + 10*u. Let s be g(-11). What is b in -4*b**2 + 7*b**2 - s*b + 3*b - 4*b = 0?
0, 1
Suppose 2*f - 3*f + 7 = 0. Let j = -5 + f. Factor -3*m - 3*m**j + 3*m**3 + 12*m - 8*m - m**4.
-m*(m - 1)**3
Factor -g**2 + 5/4*g - 1/2 + 1/4*g**3.
(g - 2)*(g - 1)**2/4
Suppose -37*l = -35*l - 8. Factor 0*r + 0 - 1/3*r**5 + 4/3*r**2 + 5/3*r**l - 8/3*r**3.
-r**2*(r - 2)**2*(r - 1)/3
Let w be 51/9 - 3/(-9). Suppose 9*d**2 - 2 + 2 - w*d**3 - d**3 - 4 + 12*d = 0. What is d?
-1, 2/7, 2
Let r be 5 - -1*(-5 + 0). Find a, given that -2*a**2 + 2*a**3 + 3/2*a**4 + 0 + r*a = 0.
-2, 0, 2/3
Let n be (12/9)/((-2)/(-9)). Suppose -12 = 2*f - n*f. Factor -2 + 0 - v**f + 2 - v + 2*v**2.
-v*(v - 1)**2
Suppose 4*m - 35 = -3*h, 5*m - 37 = -6*h + 3*h. Factor 2 + 18*u**3 + 6*u**2 - h*u - 4*u + 3*u.
2*(u + 1)*(3*u - 1)**2
Let g = 851/1155 + -8/11. Let j(o) be the third derivative of 0*o - 1/3*o**3 + 0*o**5 - 2*o**2 - 1/30*o**6 + 1/6*o**4 + 0 + g*o**7. Find m such that j(m) = 0.
-1, 1
Determine x, given that 2/7*x**2 + 2/7*x**3 + 0*x + 0 = 0.
-1, 0
Let z(k) be the second derivative of 0 + 0*k**2 + 1/48*k**4 + 2*k - 1/24*k**3. Factor z(b).
b*(b - 1)/4
Let c(l) = 3*l**4 - 3*l**3 - 3*l**2 + 3*l. Let t = -5 - -7. Let k(j) = -7*j**4 + 7*j**3 + 6*j**2 - 7*j + 1. Let q(g) = t*k(g) + 5*c(g). Factor q(n).
(n - 2)*(n - 1)*(n + 1)**2
Let j(r) be the third derivative of 0 + 1/48*r**4 + 0*r + 3*r**2 + 0*r**3 - 1/120*r**5. Find x such that j(x) = 0.
0, 1
Let a(m) = m**2 + m + 25. Let g be a(0). Let f = -23 + g. Solve -1/4*h**4 + 0 - 1/4*h**3 + 1/4*h**f + 1/4*h = 0 for h.
-1, 0, 1
Let h(c) = -3*c**3 + 27*c**2 + 15*c. Let r(g) = -g**3 + 7*g**2 + 4*g. Let k(f) = 4*h(f) - 15*r(f). Solve k(t) = 0.
-1, 0
Let r(g) be the second derivative of -g**7/147 - 2*g**6/105 + g**4/21 + g**3/21 - 6*g. What is q in r(q) = 0?
-1, 0, 1
Let a(i) be the second derivative of -i**5/10 + 2*i**4/3 - 5*i**3/3 + 2*i**2 - i + 10. Factor a(g).
-2*(g - 2)*(g - 1)**2
Let n(i) = 7*i**3 + 5*i**2 + 2*i + 10. Let s(a) = -15*a**3 - 11*a**2 - 5*a - 21. Let f(g) = 13*n(g) + 6*s(g). Factor f(x).
(x - 2)*(x - 1)*(x + 2)
Let r(x) = x. Let t be r(5). Let s = 4 - 2. Solve 11*f**2 - 2*f + 0*f - s*f**4 - t*f**5 + 19*f**4 - 21*f**3 = 0 for f.
0, 2/5, 1
Let x(w) be the second derivative of -w**4/6 + w**3/3 - 6*w. Factor x(y).
-2*y*(y - 1)
Let u(g) = 9*g**2 + 17*g + 13. Let w(h) = 14*h**2 + 26*h + 20. Let f(r) = -8*u(r) + 5*w(r). Factor f(a).
-2*(a + 1)*(a + 2)
Let i(w) be the third derivative of 0 - 1/30*w**6 + w**2 + 0*w**3 - 1/60*w**5 + 0*w + 0*w**4. Solve i(y) = 0 for y.
-1/4, 0
Suppose -12*r = -19 - 5. Let s(n) be the first derivative of -1/9*n**3 - 3*n - 1 - n**r. Factor s(u).
-(u + 3)**2/3
Let c(v) be the third derivative of -v**6/540 + v**5/180 - v**3/3 + 6*v**2. Let o(f) be the first derivative of c(f). Let o(q) = 0. What is q?
0, 1
Let r(i) be the first derivative of i + 3*i**3 - i + 2 + i - i**4 - 3*i**2. Suppose r(y) = 0. What is y?
1/4, 1
Determine k, given that 2/3*k**2 + 4*k - 14/3 = 0.
-7, 1
Let z = 8 + 4. Let u be (-10)/(-35) - z/(-7). Determine w, given that 0 + 1/2*w**4 - 1/2*w + 3/2*w**u - 3/2*w**3 = 0.
0, 1
Let j(g) be the first derivative of -g**7/280 + g**6/120 + g**5/20 - 4*g**3/3 + 3. Let l(n) be the third derivative of j(n). Factor l(w).
-3*w*(w - 2)*(w + 1)
Let l = -1/175 + 38/525. Let w(r) be the second derivative of 0 - l*r**6 - 3/10*r**5 + 2*r**2 + r**3 - 1/6*r*