10/9*m = 0. What is m?
1/3, 1
Let p be 6/45 - 3/((-45)/(-2)). Factor 2/3*n**5 - 4/3*n**3 + 2/3*n + 0*n**4 + 0*n**2 + p.
2*n*(n - 1)**2*(n + 1)**2/3
Let z(u) be the second derivative of 1/3*u**4 + 16/15*u**6 + u + 0*u**2 + 0*u**3 - 7/5*u**5 + 32/21*u**7 + 0. Factor z(w).
4*w**2*(w + 1)*(4*w - 1)**2
Let l = -82/95 - -24/19. Find c, given that l + 0*c - 2/5*c**2 = 0.
-1, 1
Let j(c) = -c**3 - c**2 + c + 1. Let t(b) = -3*b**3 + 3*b**2 + 15*b - 9. Let u(s) = -j(s) - t(s). Factor u(l).
2*(l - 2)*(l + 2)*(2*l - 1)
Let y(x) be the second derivative of x**4/54 + 5*x**3/27 - 2*x**2/3 + 31*x. Factor y(a).
2*(a - 1)*(a + 6)/9
Let o = -11/29 + 179/319. Determine f so that 2/11*f**2 - o*f + 0 = 0.
0, 1
Find b such that 4*b**3 + 2*b**2 - 5*b**3 + 3*b**3 = 0.
-1, 0
Let d(g) be the second derivative of 3*g**5/80 - 11*g**4/48 + g**3/3 + g**2/2 - 9*g. Factor d(c).
(c - 2)**2*(3*c + 1)/4
Let n(i) be the first derivative of i**4/20 + i**3/5 + 3*i**2/10 + i/5 - 7. Determine y, given that n(y) = 0.
-1
Let k(l) be the second derivative of 0*l**3 + 0 - 1/42*l**4 + 2*l + 1/7*l**2. Factor k(q).
-2*(q - 1)*(q + 1)/7
Let c(s) = 2*s**4 + 15*s**3 + 18*s**2 + 5*s. Let y(x) = 5*x**4 + 45*x**3 + 55*x**2 + 16*x + 1. Let f(k) = -21*c(k) + 6*y(k). Suppose f(u) = 0. What is u?
-2, -1, 1/4
Factor -4 - 6*c - 4 + 4 + 2*c**3.
2*(c - 2)*(c + 1)**2
Let c(p) be the second derivative of -p**9/22680 - p**8/10080 + p**7/3780 + p**6/1080 + p**4/2 + 2*p. Let b(n) be the third derivative of c(n). Factor b(d).
-2*d*(d - 1)*(d + 1)**2/3
Suppose 0*y + 0 + 0*y**2 + 1/2*y**5 + 0*y**3 + y**4 = 0. What is y?
-2, 0
Let d = -21/26 - -707/312. Let n = -1/8 + d. Let 5/3*b**2 - n*b**4 - b**3 + b - 1/3 = 0. What is b?
-1, 1/4, 1
Let n(s) be the third derivative of 8*s**7/105 - 2*s**6/15 + s**5/15 - 9*s**2. Factor n(v).
4*v**2*(2*v - 1)**2
Let l = -2/41 - -45/82. What is d in 3/4*d**2 + 0 - l*d - 1/4*d**3 = 0?
0, 1, 2
Let w(y) = -y**2 + 7*y + 2. Let z be w(7). Let a(s) be the second derivative of 0 + 0*s**4 - 7/90*s**6 - 2*s + 0*s**z - 1/30*s**5 + 0*s**3. Factor a(i).
-i**3*(7*i + 2)/3
Let v(k) be the first derivative of 0*k**3 - 4/15*k**5 - 1/9*k**6 + 0*k - 1/6*k**4 - 1 + 0*k**2. Determine z, given that v(z) = 0.
-1, 0
Let s(h) be the third derivative of h**6/360 - h**5/180 - h**4/72 + h**3/18 + h**2. Factor s(d).
(d - 1)**2*(d + 1)/3
Suppose -2*y + 4*f + 22 = 0, 23 = 5*y - 2*f - 16. Let c(j) = j**2 - 7*j. Let v be c(y). Suppose -7*t**2 + v + 5*t - 2 + 4*t = 0. What is t?
2/7, 1
Let d = 0 - 0. Let k = -71/15 + 27/5. Find m, given that d + 0*m + 2/3*m**3 + k*m**2 = 0.
-1, 0
Let j(f) be the first derivative of 1/6*f**4 - 3*f + 4/5*f**5 - 2/3*f**3 + 1/3*f**6 + 0*f**2 - 1. Let w(l) be the first derivative of j(l). Factor w(v).
2*v*(v + 1)**2*(5*v - 2)
Let p(y) be the first derivative of -7*y**5/130 + y**4/39 + 5*y + 5. Let k(z) be the first derivative of p(z). Solve k(t) = 0.
0, 2/7
Let a(f) = -5*f**2 - 5*f - 3. Let g(l) = 10*l**2 + 10*l + 5. Let o(t) = -5*a(t) - 3*g(t). Let o(b) = 0. What is b?
-1, 0
Suppose -2*v - 4*y + 30 = 8, 0 = 4*v - 5*y - 5. Let p(g) be the first derivative of g + 2*g**3 - 3 + 1/5*g**v - 2*g**2 - g**4. What is j in p(j) = 0?
1
Let s = 131/12 + -32/3. Let j(b) be the second derivative of -s*b**2 + 2*b + 0 + 1/24*b**4 + 0*b**3. Let j(i) = 0. What is i?
-1, 1
Factor -13*x - 3*x**2 - 3*x**2 - 6 + 11*x**2 + 0.
(x - 3)*(5*x + 2)
Let n be 6/(162/(-75)) - 3/(-1). Let z(f) be the first derivative of 3 + n*f**3 + 2/3*f**2 + 2/3*f. Let z(r) = 0. What is r?
-1
Suppose 3*q**3 + q**3 - 3*q**2 - q**2 = 0. What is q?
0, 1
Let r(j) = j + 7. Let o be r(6). Let z = o - 11. Solve -1/4*h**z + 1/4*h + 25/4*h**4 - 13/4*h**3 - 3*h**5 + 0 = 0 for h.
-1/4, 0, 1/3, 1
Let u(w) = -w**3 - 5*w**2 - 5*w - 1. Let i be u(-4). Let -d + 11*d**2 - 2*d**2 - 10*d**3 - 4*d + i*d**3 + 1 + 2*d**4 = 0. What is d?
1/2, 1
Determine b so that -25/4 - 45/4*b - 15/4*b**2 + 5/4*b**3 = 0.
-1, 5
Suppose -4*b = b - 5. Let l = -7 + b. Let d(v) = -11*v**2 - 17*v + 11. Let j(t) = 2*t**2 + 3*t - 2. Let p(g) = l*d(g) - 34*j(g). Suppose p(o) = 0. What is o?
-1, 1
Let d(a) be the first derivative of -a**3 + 3*a + 8. Factor d(u).
-3*(u - 1)*(u + 1)
Let n = 4 + -4. Let i = 2/1011 - -1996/13143. Solve n + 2/13*b**5 - i*b + 4/13*b**4 - 4/13*b**2 + 0*b**3 = 0 for b.
-1, 0, 1
Let w(c) = -c**4 - 7*c**3 - 5*c**2 - 5*c - 6. Let g = 5 - -8. Let p(d) = -2*d**4 - 9*d**2 - 9*d - 1 - 2 - 8 - g*d**3. Let k(m) = 6*p(m) - 11*w(m). Factor k(j).
-j*(j - 1)*(j + 1)**2
Let g be 64/84 + -2*1/(-3). Solve -2*i**5 + 0 + 0*i**2 + 4/7*i**3 + 0*i + g*i**4 = 0.
-2/7, 0, 1
Suppose 11 = n + 5. Factor -29*a**2 + 15*a**2 - n*a**3 + 0*a - 4*a.
-2*a*(a + 2)*(3*a + 1)
Let c(y) be the second derivative of -4*y**7/105 - y**6/15 - y**5/50 - 5*y. Find h such that c(h) = 0.
-1, -1/4, 0
Factor -1/4*k**2 - 1/4 - 1/2*k.
-(k + 1)**2/4
Factor -143/4*k**2 + 121/8*k**3 - 1 + 23/2*k.
(k - 2)*(11*k - 2)**2/8
Let w(x) be the first derivative of -x**4/4 + 8*x**3/9 - 2*x**2/3 + 6. Factor w(c).
-c*(c - 2)*(3*c - 2)/3
Let h(o) be the third derivative of 1/480*o**6 + 6*o**2 + 0*o**4 - 1/840*o**7 + 0 + 0*o**3 + 0*o + 1/240*o**5 - 1/1344*o**8. Determine u so that h(u) = 0.
-1, 0, 1
Let b(v) be the second derivative of v**5/180 - v**4/36 + v**3/18 - 2*v**2 + 4*v. Let f(s) be the first derivative of b(s). Factor f(d).
(d - 1)**2/3
Let y(k) be the first derivative of k**3/3 - 2*k**2 + 4*k - 8. Find a, given that y(a) = 0.
2
Let d(l) = 5*l**4 + 14*l**3 + 12*l**2 - 6*l + 2*l + 1 + 0. Let h(p) = p**4 - p**3 + 1. Let k(z) = -d(z) + h(z). Solve k(u) = 0.
-2, 0, 1/4
Let c be (21/(-56))/(45/(-2)). Let j(o) be the second derivative of -1/40*o**5 + 0 + 2*o - 1/24*o**4 + 1/12*o**3 + c*o**6 + 0*o**2. Factor j(k).
k*(k - 1)**2*(k + 1)/2
Let o(a) be the first derivative of -12*a**3 - 24*a**2 - 16*a - 8. Determine i so that o(i) = 0.
-2/3
Factor -1/2*q**2 + 7/2*q - 3.
-(q - 6)*(q - 1)/2
Let r(g) be the third derivative of -g**8/1008 - g**7/90 - 19*g**6/360 - 5*g**5/36 - 2*g**4/9 - 2*g**3/9 + 10*g**2. Factor r(i).
-(i + 1)**3*(i + 2)**2/3
Let y be ((-42)/(-2))/3 + -1. Let c be -1 + 16/y + -1. Factor 0*j + 0 - 1/3*j**2 - 1/3*j**3 + c*j**4.
j**2*(j - 1)*(2*j + 1)/3
Let m = -163/10 - -84/5. Suppose -m*v - 1/3 - 1/6*v**2 = 0. Calculate v.
-2, -1
Let w(p) = -5*p**5 + 35*p**3 + 10*p**2 - 71*p - 29. Let d(b) = -b**5 + 7*b**3 + 2*b**2 - 14*b - 6. Let g(u) = -11*d(u) + 2*w(u). What is h in g(h) = 0?
-2, -1, 2
Let v(o) be the second derivative of -o**4/3 + 2*o**3/3 + 12*o**2 + 23*o. Let v(b) = 0. What is b?
-2, 3
Suppose -17 = -5*b - 5*t - 2, -4*t = -4. Let k(x) be the second derivative of 0*x**b + 0 - 1/15*x**3 + 1/30*x**4 - 2*x. Factor k(f).
2*f*(f - 1)/5
Determine r, given that 3*r - r**2 + 4*r**3 - 4*r**2 - 5*r + 3*r**4 = 0.
-2, -1/3, 0, 1
Let l = -424 + 426. Factor -2*t**l + 0 - 4/3*t - 2/3*t**3.
-2*t*(t + 1)*(t + 2)/3
Let w(o) be the third derivative of o**7/70 - o**6/20 + o**5/20 + 24*o**2. Let w(i) = 0. Calculate i.
0, 1
Suppose -28 = -4*a + 16. Let i = a - 8. Factor 2/3*p**i + 0 - 2/3*p - 2/3*p**4 + 2/3*p**2.
-2*p*(p - 1)**2*(p + 1)/3
Factor 2/7*n**5 + 48/7*n**3 - 16/7*n**4 + 0 + 32/7*n - 64/7*n**2.
2*n*(n - 2)**4/7
Suppose 0 = 2*c - 6, 0 = 3*o - 0*c + 2*c + 24. Let b = 12 + o. Let 4/7*z - 2/7*z**b - 2/7 = 0. Calculate z.
1
Solve -1/12*k**2 - 1/6 - 1/4*k = 0 for k.
-2, -1
Suppose 0*t + 9 = 5*t + x, -t - 4*x = 2. Let 2/9*h**4 - 8/9 + 8/9*h + 2/3*h**t - 8/9*h**3 = 0. Calculate h.
-1, 1, 2
Let f(n) be the second derivative of n**7/42 - 17*n**6/90 + 7*n**5/20 + n**4/4 - 10*n. Suppose f(h) = 0. What is h?
-1/3, 0, 3
Find m, given that 4/3 - 2/3*m - 2/3*m**2 = 0.
-2, 1
Let p be 2874/(-48) + 2/(-16). Let b be 1/5 + (-63)/p. Factor -b*a**3 + 1/2 + 5/4*a - 9/4*a**2 + 7/4*a**4.
(a - 1)**2*(a + 1)*(7*a + 2)/4
Let z be 18 - ((-10)/45 - 48/27). Find a, given that 13/4*a**2 + 3/4*a**3 + 1/2*a - z*a**5 + 0 - 22*a**4 = 0.
-1, -1/4, 0, 2/5
Let q(f) be the first derivative of -1/20*f**5 - 1/6*f**4 + 0*f**2 + 0*f + 1/36*f**6 + 1 - 4/3*f**3. Let j(u) be the third derivative of q(u). Factor j(t).
2*(t - 1)*(5*t + 2)
Let z(r) be the third derivative of -r**6/540 - 17*r**2. What is b in z(b) = 0?
0
Determine s, given that 1/2*s**5 + 0 + 0*s**4 + s**2 - 3/2*s**3 + 0*s = 0.
-2, 0, 1
Let b be (-44)/22 - 2/((-6)/7). Solve -2/3*x - b*x**2 - 1/