y) = 0. What is y?
-1/2, -1/3, 0, 1, 2
Let l = -48 - -45. Let v be ((-1)/6)/(1/l). What is t in t - 1/2 - v*t**2 = 0?
1
Let a(c) be the third derivative of 1/120*c**6 + 0 - 1/18*c**4 + 2/315*c**7 + 0*c**3 + 1/1008*c**8 + 4*c**2 - 1/45*c**5 + 0*c. Factor a(q).
q*(q - 1)*(q + 1)*(q + 2)**2/3
Let b = 7 - 4. Let o(i) = -3*i**3 + 8*i**2 + 8*i + 8. Let v(j) = j**3 - 3*j**2 - 3*j - 3. Let t(c) = b*o(c) + 8*v(c). Factor t(u).
-u**3
Let d(k) be the first derivative of 1/6*k**3 - 1/3*k**2 + 3*k - 3 + 0*k**4 - 1/60*k**5. Let i(z) be the first derivative of d(z). Factor i(y).
-(y - 1)**2*(y + 2)/3
Find a such that -3*a**2 - 89*a + 6 + 9*a**3 + 80*a - 5*a**4 + 2*a**4 = 0.
-1, 1, 2
Suppose -3*f**2 - 5*f**4 + 14*f**2 - 6*f**2 = 0. What is f?
-1, 0, 1
Let u(b) be the first derivative of -2*b**3/9 - b**2/3 - 8. Suppose u(t) = 0. What is t?
-1, 0
Let 6/5*v**2 - 8/5*v**4 + 2/5 + 8/5*v - 8/5*v**3 = 0. Calculate v.
-1, -1/2, 1
Suppose 0*g = 4*g - 60. Let d be ((-18)/g)/(6/(-15)). Find b such that b**3 - 4*b**2 + 5*b**2 + b**d + b**4 = 0.
-1, 0
Let y(z) be the third derivative of 0*z - 1/600*z**6 + 0*z**3 + 1/75*z**5 - z**2 + 0 - 1/30*z**4. Suppose y(j) = 0. Calculate j.
0, 2
Let l(u) be the first derivative of 1/9*u**3 + 1/6*u**4 - 1/3*u**2 + 0*u + 6 - 1/15*u**5. Factor l(t).
-t*(t - 2)*(t - 1)*(t + 1)/3
Factor 0*w + 3/8*w**4 + 0 - 3/4*w**2 + 3/8*w**3.
3*w**2*(w - 1)*(w + 2)/8
Let o(l) = -l**4 + l**2 - 1. Let d(a) = -3*a**3 + 3*a**2 + 3. Let s(f) = d(f) + 3*o(f). Factor s(v).
-3*v**2*(v - 1)*(v + 2)
Let l(i) be the second derivative of 0*i**4 - 1/15*i**5 + 1/9*i**3 + 0*i**6 + 0 + 2*i + 0*i**2 + 1/63*i**7. Factor l(d).
2*d*(d - 1)**2*(d + 1)**2/3
Let n(k) be the third derivative of -k**7/350 + 3*k**6/100 - 3*k**5/25 + k**4/4 - 3*k**3/10 - 4*k**2. Suppose n(y) = 0. Calculate y.
1, 3
Suppose 2*l = 7*l + 30. Let v be 0/(-3*2/l). Determine h so that v + h**3 + 1/2*h**4 + 0*h + 1/2*h**2 = 0.
-1, 0
Let r(b) = 4*b**5 + 5*b**4 - 14*b**3 + 7*b**2 - 7*b + 5. Let n(h) = h**5 - h**3 - h + 1. Let s(y) = -5*n(y) + r(y). Factor s(t).
-t*(t - 2)*(t - 1)**3
Let k(r) = -7*r**3 - 7*r**2 + 7*r + 1. Let b(w) be the first derivative of w**4/4 + w**3/3 - w**2/2 + 3. Let y(v) = -6*b(v) - k(v). Factor y(d).
(d - 1)*(d + 1)**2
Factor 0 + 0*i - 3/7*i**4 + 3/7*i**5 - 6/7*i**3 + 0*i**2.
3*i**3*(i - 2)*(i + 1)/7
Factor -9*s**4 + 2 - s**3 + 4*s**4 + 3*s**2 + s**4 + 5*s + 3*s**4.
-(s - 2)*(s + 1)**3
Let y be (-1 - -5) + (-38)/10. Determine f, given that 1/5*f**3 - 1/5*f + 1/5 - y*f**2 = 0.
-1, 1
Suppose 4/7*r + 16/7*r**2 + 0 = 0. What is r?
-1/4, 0
Let g(d) be the first derivative of 3*d**4 + 23*d**3 + 39*d**2 - 24*d + 50. Determine r so that g(r) = 0.
-4, -2, 1/4
Factor 0 - 13/7*l**3 + 3/7*l**4 - 11/7*l**2 + 5/7*l.
l*(l - 5)*(l + 1)*(3*l - 1)/7
Let x(v) be the third derivative of 0*v**3 + 0 + 0*v - 1/315*v**7 + 1/90*v**5 + 1/180*v**6 - 1/504*v**8 + 0*v**4 - 3*v**2. Factor x(p).
-2*p**2*(p - 1)*(p + 1)**2/3
Let l be -1 + 1 - (28/12 - 3). Let f(q) be the first derivative of 0*q**2 - 3 + 1/3*q**6 - 1/2*q**4 + l*q**3 + 0*q - 2/5*q**5. What is g in f(g) = 0?
-1, 0, 1
Let w be ((-2)/(6 - 0))/((-3)/27). Find g such that 7/5*g**5 + 23/5*g**4 + 27/5*g**w + 2/5*g + 13/5*g**2 + 0 = 0.
-1, -2/7, 0
Let t(m) = -m**2 - 2*m. Suppose 3*w = -0*w. Let z be t(w). Solve 1/2*o**4 + 0*o**3 + z*o + 0 + 0*o**2 = 0.
0
Factor -8/9 - 10/9*g - 2/9*g**2.
-2*(g + 1)*(g + 4)/9
Factor 2/7*b**2 + 2*b + 12/7.
2*(b + 1)*(b + 6)/7
Let h(k) = 8*k**5 - 41*k**4 + 8*k**3 + 71*k**2 - 32*k - 64. Let t(w) = 2*w**5 - 10*w**4 + 2*w**3 + 18*w**2 - 8*w - 16. Let s(x) = -2*h(x) + 9*t(x). Factor s(f).
2*(f - 2)**3*(f + 1)**2
Let n(y) be the second derivative of -y**6/10 + 3*y**5/4 - 3*y**4/4 - 9*y**3/2 - 69*y. Let n(m) = 0. What is m?
-1, 0, 3
Suppose -5*r - 15 = 3*o, -5*r - 32 = 5*o - 7. Let y(v) = -v**3 + v**2 + v + 4. Let b be y(0). Suppose 1/3*f**b + f**3 + r + f**2 + 1/3*f = 0. Calculate f.
-1, 0
Let p = -3 + 1. Let x = p - -5. Suppose -2*m**5 + 8 + 2*m**x - 2*m**4 - 8 + 2*m**2 = 0. What is m?
-1, 0, 1
Let 0*a + 0 + 2/9*a**4 + 0*a**2 - 2/3*a**3 = 0. What is a?
0, 3
Let v(t) be the third derivative of -t**6/300 + t**5/30 - 2*t**4/15 + 4*t**3/15 - 3*t**2. Factor v(w).
-2*(w - 2)**2*(w - 1)/5
Let -2/11*a**3 - 2/11*a**4 + 2/11*a + 0 + 2/11*a**2 = 0. What is a?
-1, 0, 1
Suppose 0 = -2*o + 5*o - 3. Let g(l) = l**3 - 6*l**2 - 3*l + 4. Let f(w) = w + 1 + 1 + w**2 - 3. Let r(t) = o*g(t) + 4*f(t). Solve r(d) = 0.
0, 1
Let d be (-8)/24*(-1 + -8). Suppose 5 = d*r - 1. Determine z so that -4*z**3 - 8*z - r*z**3 - 8*z**2 + 7*z**3 - 3*z**3 = 0.
-2, 0
Let p = 5 - 7. Let s(i) = 2*i + 4. Let l be s(p). Factor 9/2*n**3 + 3*n**2 + l + 1/2*n.
n*(3*n + 1)**2/2
Let m(u) be the third derivative of -u**6/300 + u**5/150 + 2*u**2. Factor m(w).
-2*w**2*(w - 1)/5
Let y(x) be the first derivative of -3*x**4/28 + 3*x**3/7 - 3*x**2/7 - 16. Factor y(q).
-3*q*(q - 2)*(q - 1)/7
Let n = -4 - -8. Factor -2*c**2 + 1 + 5*c**2 - n*c**2 + 0.
-(c - 1)*(c + 1)
Let j(w) = w**2 - 6*w. Let u be j(6). Let o be 2/(-4) + (4 - 3). Solve u*a + o*a**3 + a**2 + 0 = 0.
-2, 0
Let n(j) = j**3 + 10*j**2 + 8. Let m be n(-10). Factor 6 + 2*c**2 - 1 + 1 + m*c.
2*(c + 1)*(c + 3)
Suppose -q + 20 = 3*b - 5*b, -b = -4*q + 66. Let x be q/12 + (-1)/1. Let -31/3*i**3 - x - 3*i - 9*i**2 - 4*i**4 = 0. Calculate i.
-1, -1/3, -1/4
Let v be (-34)/(-16) - (-6)/(-48). Solve 3*q**v + 4*q - 20*q - 20 - 5*q**2 - 12 = 0 for q.
-4
Let l(a) = -2*a**3 + 11*a**2 - 6*a - 3. Let q(f) = -6*f**3 + 32*f**2 - 18*f - 8. Let i(t) = -14*l(t) + 5*q(t). Let i(g) = 0. What is g?
1
Let d(f) be the first derivative of -f**6/3 + 6*f**5/5 - 8*f**3/3 + 11. Factor d(k).
-2*k**2*(k - 2)**2*(k + 1)
Let v = 15/172 - 1/258. Let q(n) be the first derivative of 0*n + 1/6*n**2 - v*n**4 - 1 + 0*n**3. Factor q(c).
-c*(c - 1)*(c + 1)/3
Let t(q) be the third derivative of -q**5/120 - 7*q**4/48 - 7*q**2. Factor t(f).
-f*(f + 7)/2
Let h(y) be the second derivative of -y**4/72 + y**3/9 + 5*y**2/12 + 25*y. Factor h(l).
-(l - 5)*(l + 1)/6
Let z be ((-15)/(3/1))/1. Let o be -4 - (-1 + 0) - z. Solve -2*r**o + 2 - 2*r + 11*r - 7*r - 2*r**3 = 0.
-1, 1
Factor -18*b**4 - 3*b**4 - 136 - 81*b + 30*b**3 + 3*b**5 + 54*b**2 + 55.
3*(b - 3)**3*(b + 1)**2
Let a(d) be the second derivative of -d**6/225 - d**5/50 - d**4/90 + d**3/15 + 2*d**2/15 - 5*d. Determine g so that a(g) = 0.
-2, -1, 1
Let w(o) = -8*o**3 + o**2 - o. Let y be w(1). Let b = 11 + y. Solve -1/2*h**5 + 0*h**b + h**4 + 1/2*h - h**2 + 0 = 0 for h.
-1, 0, 1
Let o(d) be the first derivative of -4*d**6/105 + 9*d**5/70 - d**4/7 + d**3/21 - 3*d + 9. Let x(s) be the first derivative of o(s). Factor x(w).
-2*w*(w - 1)**2*(4*w - 1)/7
Let h(w) be the third derivative of -w**7/560 + 11*w**6/320 - 7*w**5/32 + 25*w**4/64 - 2*w**2 - 7*w. Factor h(x).
-3*x*(x - 5)**2*(x - 1)/8
What is m in 0*m + 0 - 2/9*m**3 + 20/9*m**2 = 0?
0, 10
Let o(c) = 48*c**2 + 20*c + 12. Let w(x) = x**2 + x + 1. Let u(y) = -o(y) + 12*w(y). Factor u(k).
-4*k*(9*k + 2)
Let w be -1 + (-129)/72 - -3. Let d(r) be the second derivative of 1/168*r**7 + 1/8*r**2 + w*r**4 + 0 + 5/24*r**3 - 2*r + 1/8*r**5 + 1/24*r**6. Factor d(j).
(j + 1)**5/4
Let b(f) be the first derivative of 1/21*f**6 + 0*f - 10/21*f**3 - 2/7*f**2 - 5 + 2/35*f**5 - 3/14*f**4. Factor b(c).
2*c*(c - 2)*(c + 1)**3/7
Let n(o) be the first derivative of -28*o**5 - 4*o**2 - 25/3*o**6 + 0*o - 56/3*o**3 - 69/2*o**4 + 4. Let n(c) = 0. Calculate c.
-1, -2/5, 0
Let r(v) be the first derivative of 2*v**5/25 - 12*v**4/5 + 236*v**3/15 + 312*v**2/5 + 338*v/5 + 35. Factor r(y).
2*(y - 13)**2*(y + 1)**2/5
Let z(g) be the second derivative of g**4/24 - g**2/4 + 2*g. Let z(j) = 0. What is j?
-1, 1
Let g(p) be the third derivative of p**8/3360 - p**6/360 - p**4/8 + 2*p**2. Let q(a) be the second derivative of g(a). Suppose q(r) = 0. Calculate r.
-1, 0, 1
Let p(k) be the second derivative of 0 - 1/4*k**2 + 1/6*k**3 - 3*k - 1/24*k**4. Factor p(x).
-(x - 1)**2/2
Let h(u) be the first derivative of -u**6/12 + 2*u**5/5 - 5*u**4/8 + u**3/3 + 21. Solve h(a) = 0.
0, 1, 2
Let f(i) be the first derivative of 2*i**3/3 - 4*i**2 + 6*i - 8. Factor f(r).
2*(r - 3)*(r - 1)
Let r = -67/4 - -17. Factor -r*q**4 - q - 1 + 1/2*q**3 + 3/4*q**2.
-(q - 2)**2*(q + 1)**2/4
Let p(l) be the second derivative of -3*l - 1/25*