**4 + 0 + 0*y**2 - 1/90*y**5. Determine c so that v(c) = 0.
-1, 0
Suppose -4*n + 6*n - 10 = 0. Factor -3*y**4 + 3*y**3 - 3*y**n - y**2 - 2*y**2 + y**4 + 5*y**4.
-3*y**2*(y - 1)**2*(y + 1)
Let 1/2*a**3 + 1/2*a**4 - 1/2*a**5 - 1/2*a**2 + 0 + 0*a = 0. What is a?
-1, 0, 1
Let o(m) be the second derivative of -3/2*m**2 + 0*m**3 - 1/10*m**6 + 1/2*m**4 + 3*m + 0*m**5 + 0. Solve o(j) = 0.
-1, 1
Factor 2/3*k**2 + 1/3*k**3 + 0 + 0*k - 1/3*k**4.
-k**2*(k - 2)*(k + 1)/3
Suppose 0 = 2*k + 3*h - 21, -5*k - 20*h + 40 = -15*h. Suppose 9/2*c**5 + 15/2*c**4 + k*c**3 + 0 + 0*c**2 + 0*c = 0. What is c?
-1, -2/3, 0
Factor -15 - 14 - 5*q**3 + 15*q**2 + 9.
-5*(q - 2)**2*(q + 1)
Factor 6*l**2 + 75/2*l**4 + 30*l**3 + 0*l + 0.
3*l**2*(5*l + 2)**2/2
Let f(n) = 5*n**4 - 7*n**3 - 7*n**2 + 8*n - 1. Let m(z) = z**5 - z**4 + z**3 - z**2 - z - 1. Let g(w) = -5*f(w) + 5*m(w). Factor g(c).
5*c*(c - 3)**2*(c - 1)*(c + 1)
Let n(y) be the first derivative of 1/10*y**5 - 1/8*y**4 + 0*y + 4 + 1/4*y**2 - 1/6*y**3. Determine v, given that n(v) = 0.
-1, 0, 1
Let d(c) = -8*c**4 + 8*c**3 + 8*c**2 - 4*c - 4. Let k(b) = b**5 + 7*b**4 - 9*b**3 - 7*b**2 + 3*b + 5. Let x(r) = -5*d(r) - 4*k(r). Find s such that x(s) = 0.
-1, 0, 1, 2
Let -12/5*u + 24/5 + 3*u**3 - 18/5*u**2 - 3/5*u**4 = 0. What is u?
-1, 2
Let z(w) = w**2 - 4*w + 1. Let b be z(6). Let a = b - 63/5. Suppose -2/5*y**2 + 2/5*y + 2/5 - a*y**3 = 0. Calculate y.
-1, 1
Let u(n) = n**3 - n**2 + 2*n - 5. Let f(d) = -2*d**3 + 9 + d**3 + 2*d + 3*d**2 - d**3 - 7*d. Let k(p) = 3*f(p) + 5*u(p). Factor k(a).
-(a - 2)*(a - 1)**2
Factor 9/5*r**3 + 3/5*r**2 + 0 + 0*r.
3*r**2*(3*r + 1)/5
Let v(m) be the third derivative of 0*m - 1/525*m**7 - 1/50*m**5 + 0 + 5*m**2 + 1/100*m**6 + 1/60*m**4 + 0*m**3. Let v(d) = 0. Calculate d.
0, 1
Let i = 22 + -10. Let b be (-4)/3*6/(-4). Find l such that -14*l**b + 0*l**5 - 3*l - 39*l**4 - 45*l**3 - i*l**5 - 7*l**2 = 0.
-1, -1/4, 0
Let r(a) be the first derivative of -2*a**3/15 - a**2 + 12*a/5 + 10. Factor r(u).
-2*(u - 1)*(u + 6)/5
Solve -6*q**2 + 12/5 - 18/5*q = 0.
-1, 2/5
Let f(d) = -16*d**5 + 5*d**4 + 11*d. Let u(s) = -3*s**5 + s**4 + 2*s. Let o = 5 - 3. Let b(h) = o*f(h) - 11*u(h). Let b(c) = 0. What is c?
0, 1
Let p(s) be the second derivative of -s**7/105 - s**6/30 - s**2/2 + 4*s. Let i(x) be the first derivative of p(x). Find w such that i(w) = 0.
-2, 0
Suppose 0*z = -2*z - 10. Let g be -1 + (z/3 - -3). Factor 1/3 + 1/3*u - 1/3*u**3 - g*u**2.
-(u - 1)*(u + 1)**2/3
Let -5*n - n - 3 + 3*n**2 - 6*n**2 = 0. What is n?
-1
Let y(m) be the third derivative of -m**7/336 - m**6/30 - 3*m**5/20 - m**4/3 - m**3/3 - 14*m**2. Suppose y(i) = 0. Calculate i.
-2, -2/5
Let i(w) be the second derivative of -49*w**6/40 - 231*w**5/80 - 2*w**4 - w**3/2 + 21*w. Find t such that i(t) = 0.
-1, -2/7, 0
Let q(n) be the second derivative of -n**7/126 + 11*n**6/270 - n**5/12 + n**4/12 - n**3/27 - 24*n. What is i in q(i) = 0?
0, 2/3, 1
Suppose -x + 0*x - 1 = -v, 4*x = -v + 6. Suppose 4*c + 3*c**v - 1 - 12*c + 5 + c**2 = 0. What is c?
1
Let w = 17 + -26. Let n = -7 - w. Factor 0 + 0*c - 5/4*c**3 - 3/4*c**4 - 1/2*c**n.
-c**2*(c + 1)*(3*c + 2)/4
Let y(w) be the second derivative of -2*w**6/15 + w**5/5 - 5*w. Factor y(a).
-4*a**3*(a - 1)
Let s be 3 - 0/(1 + -4). Factor s*u**2 + 9*u - 6 - 2*u**2 - 4*u**2.
-3*(u - 2)*(u - 1)
Let m be ((-21)/6 + 4)*-8. Let r(l) = -l**2 + l - 4. Let z(o) = -o**2 - 4. Let i(f) = m*z(f) + 5*r(f). Factor i(b).
-(b - 4)*(b - 1)
Let x(c) be the third derivative of 0*c**4 + 1/300*c**5 + 0*c**3 + 0*c + 0 + 3*c**2. Suppose x(k) = 0. What is k?
0
Let a be (-3 - (-7)/2)/1. Let y be (-11)/(-66) + (-1)/(-3). Find d, given that a*d - y*d**2 + 0 = 0.
0, 1
Let l(t) be the third derivative of -t**6/48 + 11*t**5/120 - t**4/24 - 18*t**2. Suppose l(z) = 0. What is z?
0, 1/5, 2
Suppose 0 = 4*f - 8 - 0. Suppose f*s + 4*g + 0*g - 22 = 0, -s - g = -7. Suppose 10/3*l - 6*l**s + 2/3 + 2*l**2 = 0. Calculate l.
-1/3, 1
Suppose n + 6 = 2*n. Suppose -4*y = -p - 5, p - 25 = -y + n*p. Factor -4/9*k**3 + 2/3*k**4 + 0 + 0*k + y*k**2.
2*k**3*(3*k - 2)/9
Suppose 9*n - 88 + 70 = 0. Factor 0 - 8/13*h + 6/13*h**3 + 2/13*h**4 + 0*h**n.
2*h*(h - 1)*(h + 2)**2/13
Let q(l) = 2*l**2 + 1. Let p(b) = 2*b**2 - 8*b + 12. Let m(v) = p(v) - 2*q(v). Factor m(h).
-2*(h - 1)*(h + 5)
Let p(f) = -2*f**2 - 7*f. Let a(b) = 3*b**2 + 10*b. Let c(k) = 5*a(k) + 8*p(k). Factor c(g).
-g*(g + 6)
Let t(f) be the first derivative of -f**4/18 + 8*f**3/27 - 5*f**2/9 + 4*f/9 - 3. Determine o so that t(o) = 0.
1, 2
Let g(t) = -t**2 - 5*t + 8. Let o be g(-6). Find x, given that 2*x**3 - 2*x**3 - 2*x**3 - x**4 - x**o + 0*x**2 = 0.
-1, 0
Determine b, given that -10/9*b + 2/9 - 14/9*b**4 + 2/3*b**5 + 4/3*b**2 + 4/9*b**3 = 0.
-1, 1/3, 1
Let i(l) be the first derivative of 10*l**6/27 - 118*l**5/45 + 56*l**4/9 - 112*l**3/27 - 32*l**2/9 + 32*l/9 - 25. Suppose i(t) = 0. What is t?
-1/2, 2/5, 2
Let p(i) = i**2 + 7*i + 6. Let a be p(-7). Let y be (a/4)/(-3) - -2. Factor y + 3/2*t**3 - 3/2*t**2 - 3/2*t.
3*(t - 1)**2*(t + 1)/2
Let d(c) = 2*c**2 + 3*c + 3. Let k be d(3). Let r be (8/k)/((-6)/(-9)). Determine b, given that -4/5*b + r*b**2 + 2/5 = 0.
1
Factor -3/2*a**4 + 9/2*a**2 + 0*a + 0 + 3*a**3.
-3*a**2*(a - 3)*(a + 1)/2
Let 5/2*f**4 - 15/2*f**2 - 5/2*f + 5/2*f**3 + 5 = 0. What is f?
-2, -1, 1
Factor 16*f**2 - 34*f**2 + 12*f + 21*f**2 + 12.
3*(f + 2)**2
Let i = -4/911 + 51028/2733. Let 98/3*b**2 - i*b + 8/3 = 0. Calculate b.
2/7
Let u(r) be the first derivative of 2*r**6/3 - 4*r**5/5 - r**4 + 4*r**3/3 - 9. Suppose u(q) = 0. Calculate q.
-1, 0, 1
Let x = 84 + -84. Let f(s) be the second derivative of -1/18*s**4 + 2/9*s**3 + x*s**2 - 1/30*s**5 - 4*s + 0. Let f(a) = 0. What is a?
-2, 0, 1
Let f(p) be the first derivative of p**4/7 + 4*p**3/3 - 2*p**2/7 - 4*p + 28. Suppose f(s) = 0. What is s?
-7, -1, 1
Let w(p) be the first derivative of p**5/15 - p**4/6 - p**3/3 + 4*p**2/3 - 4*p/3 - 11. Factor w(a).
(a - 2)*(a - 1)**2*(a + 2)/3
Factor -1/3*r**5 + 5/3*r**4 + 0 - 3*r**3 + 7/3*r**2 - 2/3*r.
-r*(r - 2)*(r - 1)**3/3
Let m(q) be the third derivative of 2*q**2 + 1/70*q**5 + 0*q + 0 - 1/42*q**4 + 0*q**3 + 1/105*q**7 + 1/35*q**6. Factor m(v).
2*v*(v + 1)**2*(7*v - 2)/7
Let w(c) be the second derivative of -5*c**7/84 + c**5/8 + 32*c. Factor w(u).
-5*u**3*(u - 1)*(u + 1)/2
Let i = -385 - -3469/9. Let i + 14/9*u**2 + 2*u = 0. What is u?
-1, -2/7
Let v(j) be the first derivative of 4*j**5 + 15*j**4/4 - 5*j**3/3 - 4. Factor v(r).
5*r**2*(r + 1)*(4*r - 1)
Let z be 4*(63/72 + (-1)/(-8)). Factor -2/3*p**z + 0*p + 0 + 0*p**2 + 1/3*p**5 + 1/3*p**3.
p**3*(p - 1)**2/3
Let b(i) be the third derivative of i**8/84 - i**7/42 - 7*i**6/120 + i**5/30 + 7*i**2. Factor b(m).
m**2*(m - 2)*(m + 1)*(4*m - 1)
Let -29 - 34 - 32*h - 7 - 58 - 2*h**2 = 0. Calculate h.
-8
Let y(s) be the third derivative of 2*s**2 - 1/180*s**6 + 0*s - 2/45*s**5 - 1/9*s**4 + 0 + 0*s**3. Determine i so that y(i) = 0.
-2, 0
Suppose 4*d = 4 + 16. Suppose -b - 2*b = 3*x - 33, 0 = d*x - 4*b - 46. Factor 6*m**5 + m**2 + 20*m**4 + m**2 - 6*m**4 + x*m**3.
2*m**2*(m + 1)**2*(3*m + 1)
Let a(c) = -c**3 + 1. Let h(m) = -21*m**3 - 28*m**2 + 32*m + 17. Let w(l) = a(l) - h(l). What is r in w(r) = 0?
-2, -2/5, 1
Let s be (-38)/(-14) + 2/7. Factor 4*u**2 - 2*u + 4*u**s + u**4 - 4*u**2 + 4*u + 5*u**2.
u*(u + 1)**2*(u + 2)
Let f be (-33)/(-18) + 1 + 7/(-3). Suppose -1/2*v**2 + f + 0*v = 0. Calculate v.
-1, 1
Let m(t) = -20*t**2 - 35*t + 15. Let y(f) = 3*f**2 + 5*f - 2. Let u(j) = 2*m(j) + 15*y(j). Suppose u(s) = 0. Calculate s.
-1, 0
Let f(h) = -h**4 - 2*h**3 + 0*h**2 - 2*h**2 - 6*h**2 + 3*h**2. Let j(b) = -2*b**4 - 5*b**3 - 11*b**2. Let k(q) = 9*f(q) - 4*j(q). What is c in k(c) = 0?
0, 1
Let v(i) be the third derivative of 0*i**4 + 1/1848*i**8 + 1/1155*i**7 + 0*i**3 - 1/660*i**6 + 0*i - 1/330*i**5 + 5*i**2 + 0. Factor v(d).
2*d**2*(d - 1)*(d + 1)**2/11
Let z(g) be the second derivative of 2*g - 1/70*g**5 + 0 + 0*g**2 + 0*g**3 - 1/21*g**4. Determine u so that z(u) = 0.
-2, 0
Let h = 4 + -21. Let w = h - -20. Factor 4/9*v + 2/3*v**2 + 0 + 2/9*v**w.
2*v*(v + 1)*(v + 2)/9
Find j such that -31*j**3 - 40*j**3 - 10*j**2 + 56*j**3 = 0.
-2/3, 0
Let h = -12 - -17. What is v in -4*v**3 + 0*v**3 - 20*v**2 + 2*v**h - 2 + 24*v**3 - 10*v**4 + 6*v + 4*v = 0?
1
Let h(t) be the