16*m**2. Suppose v(c) = 0. Calculate c.
-3, 1/4, 1
Let o(p) = p**4 - p**3 + p**2 - p - 1. Let v(d) = -8*d**4 + 5*d**3 - 6*d**2 + 9*d + 7. Let u(x) = 35*o(x) + 5*v(x). Let u(y) = 0. Calculate y.
-2, -1, 0, 1
Let r be 30/8 + (-1)/(-4). Suppose r*w = 2*w. Determine k so that -2/7*k**2 + 2/7*k**3 + 0 + w*k = 0.
0, 1
Let g be ((-12)/(-4))/((-3)/(-2)). Let 0*q**2 - 4*q + 7*q - 5*q**2 + 2*q**g = 0. Calculate q.
0, 1
Suppose 2*t + 90 = 7*t. Let p(o) = o**2 - 19*o + 18. Let r be p(t). Suppose 2/7*j**4 + 0*j + 0 - 2/7*j**3 + r*j**2 = 0. What is j?
0, 1
Let s be (3/(-9))/((-3)/18). Let u = -2 + 4. Factor -4*x**2 + 6*x**u - x**s.
x**2
Let l(u) be the third derivative of 0*u + 1/36*u**4 + 1/180*u**5 + 3*u**2 + 1/18*u**3 + 0. Find x such that l(x) = 0.
-1
What is v in 0 + 0*v - 2/13*v**2 = 0?
0
Let c be (19 - 16) + 1/1*0. Let g(w) be the second derivative of -4*w + w**c + 0 + 2*w**2 - 1/10*w**5 + 0*w**4. Factor g(m).
-2*(m - 2)*(m + 1)**2
Solve 24*h**3 + 3*h + h**4 + 2*h**3 + 6*h**4 + 20*h**2 - 11*h = 0.
-2, 0, 2/7
Let m(k) be the first derivative of -k**6/2 + 3*k**4/2 - 3*k**2/2 - 2. Factor m(l).
-3*l*(l - 1)**2*(l + 1)**2
Let -3 + 0 + v**3 + 3 + 2*v + 3*v**2 = 0. Calculate v.
-2, -1, 0
Let r(f) be the third derivative of 0*f**4 + 0*f - 1/150*f**5 + 0 + 1/200*f**6 + 0*f**3 + 3*f**2. Factor r(t).
t**2*(3*t - 2)/5
Factor 2*g**3 + 1/3*g - 4/3*g**2 + 1/3*g**5 - 4/3*g**4 + 0.
g*(g - 1)**4/3
Let h(i) be the second derivative of -i**5/4 - 5*i**4/4 - 5*i**3/3 + 7*i. Factor h(g).
-5*g*(g + 1)*(g + 2)
Suppose z - 5 = 3*k + 5, -32 = -5*z - 3*k. Let p = z + -4. Factor 6*r**p + 12 + 0*r + 27*r**2 - r + 17*r + 20*r.
3*(r + 2)**2*(2*r + 1)
Let v(p) be the second derivative of -p**6/180 + p**4/36 + 3*p**2 + 10*p. Let g(s) be the first derivative of v(s). Factor g(w).
-2*w*(w - 1)*(w + 1)/3
Factor -1/7*x**2 - 4/7*x - 3/7.
-(x + 1)*(x + 3)/7
Determine v so that 0*v + 0 + 3/2*v**5 + 12*v**3 - 6*v**2 - 15/2*v**4 = 0.
0, 1, 2
Let i = 114 - 110. Factor 4/13*w**3 - 10/13*w**5 + 6/13*w**i + 0*w**2 + 0*w + 0.
-2*w**3*(w - 1)*(5*w + 2)/13
Let q be 2 - 3*(-6)/9. Factor 4*m**4 + 2*m**3 - 4*m**2 - 2*m**q + 0*m**2 + 2*m**2 - 2*m**5.
-2*m**2*(m - 1)**2*(m + 1)
Let x(g) = 2*g**2 + 11*g - 6. Let n be x(-6). Let a(f) be the first derivative of n*f**2 + 0*f + 2/15*f**3 - 3. Factor a(s).
2*s**2/5
Let r(k) be the second derivative of k**4/30 + 2*k**3/15 + k**2/5 - 5*k. Factor r(b).
2*(b + 1)**2/5
Let q(w) be the first derivative of 0*w**3 + 1/20*w**5 + 0*w**2 - 5 + 0*w + 1/16*w**4. Factor q(d).
d**3*(d + 1)/4
Suppose 0 + 0*b**2 + 2/7*b**5 - 2/7*b**4 - 4/7*b**3 + 0*b = 0. Calculate b.
-1, 0, 2
Let m be 4/90*15/24. Let h(y) be the third derivative of -1/18*y**3 + 0*y + 0 - y**2 - 1/180*y**5 - m*y**4. Factor h(j).
-(j + 1)**2/3
Suppose 6*o - o = 25. Suppose -2*r = -o - 5. Solve -r*f**2 + 4*f**2 - 3*f**3 + 3*f**2 + 4*f**2 - 3*f**4 = 0 for f.
-2, 0, 1
Let m(h) be the third derivative of -2*h**7/105 + 2*h**6/15 - h**5/5 - 2*h**4/3 + 8*h**3/3 - 4*h**2. Factor m(v).
-4*(v - 2)**2*(v - 1)*(v + 1)
Let p(w) be the third derivative of w**7/385 - 7*w**6/330 + 2*w**5/165 + 5*w**4/22 + 3*w**3/11 + 27*w**2. Solve p(b) = 0.
-1, -1/3, 3
Let k(a) = 5*a**3 - 5*a**2 + 13*a - 1. Suppose 6*s + 9 = 3*s. Let l(h) = -4*h**3 + 6*h**2 - 12*h + 2. Let c(b) = s*l(b) - 2*k(b). Factor c(r).
2*(r - 2)*(r - 1)**2
Solve y**2 + 0*y**3 - y**4 - 1/2*y**5 + 0 + 1/2*y = 0 for y.
-1, 0, 1
Let o(h) be the second derivative of -h**5/4 + 5*h**4/6 + 5*h. Suppose o(f) = 0. Calculate f.
0, 2
Let n(o) = o**5 - o**4 - o**3 - 1. Let i(q) = -8*q**5 + 11*q**4 + 5*q**3 - 4*q**2 + 3*q + 7. Let m(j) = -5*i(j) - 35*n(j). Factor m(f).
5*f*(f - 3)*(f - 1)**2*(f + 1)
Let t(i) be the second derivative of -3*i**5/50 + i**4/5 - i**3/5 - 9*i. Factor t(z).
-6*z*(z - 1)**2/5
Let b be -12*((-15)/(-9) - 2). Suppose y**2 + 0 + 5*y**5 + 0 - y**3 - y**4 - b*y**5 = 0. What is y?
-1, 0, 1
Let o(i) = 11*i**2 + 9*i + 9. Suppose 0 = 2*y - 4*y - 8. Let t(k) = 5*k**2 + 4*k + 4. Let a(b) = y*o(b) + 9*t(b). Factor a(s).
s**2
Let n(t) be the first derivative of -5*t**3/3 + 10*t**2 - 20*t - 12. Let n(p) = 0. What is p?
2
Let r(w) = 20*w + 5*w**2 + 10*w**2 - 5*w**2. Let c(l) = 2*l**2 + 4*l. Let n = 8 - 11. Let h(v) = n*r(v) + 16*c(v). Factor h(z).
2*z*(z + 2)
Let v(n) be the second derivative of -n**4/90 - n**3/15 - 2*n**2/15 - 16*n. Find q, given that v(q) = 0.
-2, -1
Determine g so that 4/13 - 6/13*g + 12/13*g**3 - 10/13*g**2 = 0.
-2/3, 1/2, 1
Let f(v) = v**3 + 9*v**2 + 21*v + 11. Let x be f(-3). Let 4/7*h**x + 0*h**3 - 2/7*h**4 + 0*h - 2/7 = 0. Calculate h.
-1, 1
Let k(v) = v**2 - 2*v + 6. Let g(c) = c - 5. Let h(p) = -6*g(p) - 5*k(p). Find q such that h(q) = 0.
0, 4/5
Let h(l) = l**5 - 2*l**4 + 9*l**3 + 2*l**2 - 10*l - 9. Suppose 2*r + 73 - 1 = 0. Let t(j) = -j**3 + j + 1. Let u(a) = r*t(a) - 4*h(a). Factor u(n).
-4*n*(n - 1)**3*(n + 1)
Let h(y) be the second derivative of -y**7/420 - y**6/75 - y**5/40 - y**4/60 - 7*y. Factor h(c).
-c**2*(c + 1)**2*(c + 2)/10
Let k = 181 + -179. Factor -5/2*g + 1 + g**k.
(g - 2)*(2*g - 1)/2
Let c be ((-1)/(-3))/(14/210). Factor -4/5*i**2 + 0 + 1/5*i + 6/5*i**3 - 4/5*i**4 + 1/5*i**c.
i*(i - 1)**4/5
Let m(r) = -2*r**2 + 4*r + 20. Let z(t) = -2*t**2 + 4*t + 21. Let q(w) = -5*m(w) + 4*z(w). Solve q(l) = 0.
-2, 4
Let a(p) be the first derivative of 2*p**6/3 + 4*p**5/5 - 2*p**4 - 8*p**3/3 + 2*p**2 + 4*p - 9. Factor a(h).
4*(h - 1)**2*(h + 1)**3
Let z = -17/2 - -9. Let u(b) be the first derivative of -3/2*b**2 - 5/6*b**3 - z*b + 2. Solve u(d) = 0.
-1, -1/5
Let s(v) = -v**3 + v**2 + v + 1. Let i(c) = c**3 - 16*c**2 - c + 8. Let q(o) = -i(o) - 4*s(o). Factor q(f).
3*(f - 1)*(f + 1)*(f + 4)
Suppose -s = 5*h - 2*h + 11, -24 = -s + 4*h. Let y be s/3*(-1)/(-4). Factor -2/3 + y*m**2 - 1/3*m.
(m - 2)*(m + 1)/3
Let f(o) be the second derivative of o**6/1080 - o**5/360 + 2*o**3/3 - 2*o. Let c(v) be the second derivative of f(v). Suppose c(a) = 0. Calculate a.
0, 1
Suppose 57 = -5*i + 77. Let h(l) be the first derivative of 3/2*l**2 + 1/10*l**6 + 3/5*l**5 + 3/2*l**i - 1 + 3/5*l + 2*l**3. Factor h(o).
3*(o + 1)**5/5
Suppose -1/2 - n - 1/2*n**2 = 0. What is n?
-1
Suppose -4*h = -15 - 1. Suppose -1 + 1 + h - u + u**2 - 3*u = 0. What is u?
2
Let l(s) = s**3 - 3*s**2 - 4*s + 3. Let p be l(4). Factor -6*z**3 - 3*z**3 + 3 - z**4 + 3*z**p + 6*z - 2*z**4.
-3*(z - 1)*(z + 1)**3
Let x(z) be the second derivative of z**5/20 - z**4/3 + z**3/2 + 8*z. Factor x(l).
l*(l - 3)*(l - 1)
Let l = -102 + 514/5. Let k(u) be the first derivative of -1/2*u**4 - 1/3*u**6 + 0*u**3 + 0*u**2 - l*u**5 + 0*u - 2. Factor k(o).
-2*o**3*(o + 1)**2
Let t(g) = -g + 4. Let s be t(2). Let k(x) be the second derivative of 0 + x + 1/2*x**s + 1/4*x**4 + 1/2*x**3 + 1/20*x**5. Factor k(o).
(o + 1)**3
Let g(n) be the first derivative of n**6/240 - n**5/60 + n**4/48 + n**2/2 + 1. Let c(k) be the second derivative of g(k). Factor c(b).
b*(b - 1)**2/2
Let m = 8 + -9. Let t = m - -4/3. Factor -1/3 + 2/3*l - t*l**2.
-(l - 1)**2/3
Let i(y) = -39*y**2 - 15*y + 33. Let k(a) = -5*a**2 - 2*a + 4. Let q(x) = 4*i(x) - 33*k(x). Factor q(z).
3*z*(3*z + 2)
Let f = 5/3 + -4/3. Solve 0*k**2 + 0 - 1/3*k**3 + f*k = 0 for k.
-1, 0, 1
Let k be 16/(4 + 0) + 0. Factor 3/4*i**2 - i**k - 1/4 - i**3 + 1/2*i.
-(i + 1)**2*(2*i - 1)**2/4
Suppose 2/3*d - 2/3*d**2 + 0 = 0. What is d?
0, 1
Determine i, given that 3*i**4 - 2*i - 10*i**2 - 27*i**3 - 24*i**4 - i - 6*i**5 - 5*i**2 = 0.
-1, -1/2, 0
Let d(l) be the first derivative of l**5/60 - l**3/6 + 5*l**2 - 10. Let m(f) be the second derivative of d(f). Factor m(w).
(w - 1)*(w + 1)
Solve 0 + 2/15*q - 2/15*q**2 - 2/15*q**3 + 2/15*q**4 = 0 for q.
-1, 0, 1
Let o(t) be the first derivative of t**4/2 + 4*t**3/3 + t**2 + 27. Find l, given that o(l) = 0.
-1, 0
Let q = -3003/265 - -7/53. Let h = -484/45 - q. Factor 2/9*z**2 - h*z + 2/9.
2*(z - 1)**2/9
Suppose 0 = 3*x - b - 2*b + 9, -5*x = 4*b + 6. Let v be x + 0 + 4 - 0. Factor -12*k**2 + 2*k**2 + 0*k**v + 4 - 6*k.
-2*(k + 1)*(5*k - 2)
Let u(y) be the third derivative of -y**6/900 - y**5/100 - y**4/30 + y**3/6 + 6*y**2. Let w(k) be the first derivative of u(k). Factor w(q).
-2*(q + 1)*(q + 2)/5
Let l(s) be the second derivative of s**4/15 + 14*s**3/15 + 12*s**2/5 - 41*s. Factor l(i).
4*(i + 1)*(i + 6)/5
Let g(b) be the third derivat