 8/3 - 10/3*o**3 + 10/3*o + 2*o**2.
2*(o - 4)*(o - 1)**2*(o + 1)/3
Let a(p) = 21*p**4 + 78*p**3 - 55*p**2 + 13*p. Let c(g) = -43*g**4 - 156*g**3 + 109*g**2 - 27*g. Let k(j) = 7*a(j) + 3*c(j). Let k(o) = 0. Calculate o.
-5, 0, 1/3
Factor 1/5*v**2 - 1/5*v + 0.
v*(v - 1)/5
Factor 0*s - 1/4*s**3 + 1/2*s**4 + 0 + 1/4*s**5 - 1/2*s**2.
s**2*(s - 1)*(s + 1)*(s + 2)/4
Let z(n) be the second derivative of n**3 - 1/8*n**4 - 1/2*n**2 + 3/20*n**6 - 4*n + 0 - 7/20*n**5. Let t(l) be the first derivative of z(l). Factor t(a).
3*(a - 1)*(2*a + 1)*(3*a - 2)
Let m(t) be the first derivative of 1/2*t**3 - 1/10*t**5 + 0*t**4 + 1/2*t**2 + 0*t - 2. Suppose m(h) = 0. Calculate h.
-1, 0, 2
Let w(j) be the second derivative of -j**6/900 - j**5/450 - j**2/2 - 3*j. Let o(y) be the first derivative of w(y). Factor o(p).
-2*p**2*(p + 1)/15
Let j(w) be the second derivative of w**7/21 + w**6/15 + 27*w. Solve j(q) = 0.
-1, 0
Suppose -4*i = i. Let t(m) = -m**3 + m**2 - m. Let c be t(i). Solve -7*b**3 - 3*b**2 + b**2 - 5*b**4 + c*b**2 = 0.
-1, -2/5, 0
Let q(v) be the first derivative of 7*v**3/9 - 4*v**2/3 + v/3 - 21. Suppose q(x) = 0. Calculate x.
1/7, 1
Solve 2*o**2 - 6*o + 5*o - 11*o + 8*o**3 + 2*o**4 = 0.
-3, -2, 0, 1
Let g(s) be the first derivative of -s**4/2 + 2*s**3 - 8*s + 3. Factor g(m).
-2*(m - 2)**2*(m + 1)
Let l = 4/369 + 406/369. Factor -20/9*r**2 - 2/9 - l*r**4 - 2/9*r**5 - 10/9*r - 20/9*r**3.
-2*(r + 1)**5/9
Let g = 7012/1945 + -2/389. Factor -2/5*v**2 - g + 12/5*v.
-2*(v - 3)**2/5
Suppose 2*q - 3*l - 7 = 0, -3 - 8 = -3*q + 5*l. Suppose -5*b = -8 - q. Factor -1/2*u**4 + 0*u**b + 0*u - 1/2*u**3 + 0.
-u**3*(u + 1)/2
Let h(p) = -29*p**4 - 17*p + 17. Let r(q) = -10*q**4 - 6*q + 6. Let i(j) = -6*h(j) + 17*r(j). Let i(l) = 0. Calculate l.
0
Let y(f) = 20*f**2 - 24*f + 4. Let u(j) = -j**3 - j**2 + j + 1. Let b(r) = 4*u(r) + y(r). Solve b(n) = 0.
1, 2
Let m be (40/6)/(42/(-666)). Let i = m - -106. Factor 4/7*s**3 + i*s**2 + 0*s + 0.
2*s**2*(2*s + 1)/7
Find b, given that -1/11*b**2 - 36/11 - 12/11*b = 0.
-6
Suppose 6 = y + y. Let -5*l - 39*l**2 + 64*l**y - 23*l - 4 + 7*l**2 = 0. What is l?
-1/4, 1
Let w(f) = -2*f**2 - 9*f - 7. Let m(b) be the second derivative of b**4/4 + 7*b**3/3 + 11*b**2/2 - 2*b. Let z(x) = 5*m(x) + 8*w(x). Factor z(s).
-(s + 1)**2
Let w(s) = s**2 - 7*s + 15. Let n be w(3). Let a be (9/12)/(27/8). Factor 2/9*j**4 + 0 + a*j**n - 2/9*j - 2/9*j**2.
2*j*(j - 1)*(j + 1)**2/9
Let h(g) = 15*g**4 - 24*g**3 - 15*g**2 + 24*g - 24. Let d(y) = -3*y**4 + 5*y**3 + 3*y**2 - 5*y + 5. Let f(k) = -24*d(k) - 5*h(k). Factor f(v).
-3*v**2*(v - 1)*(v + 1)
Let t(i) be the first derivative of -i**4/42 + i**3/21 - i + 3. Let o(s) be the first derivative of t(s). Find x such that o(x) = 0.
0, 1
Find p such that 2/9*p**2 + 16/9*p + 0 = 0.
-8, 0
Let t be 2 - 0*(-1)/2. Let x(j) = j + 18. Let m be x(-16). Factor -n - m*n**t + 3 + n - 1.
-2*(n - 1)*(n + 1)
Factor 2*g**4 - 10*g - 22*g**3 + 9*g**3 + 22*g**2 - g**3.
2*g*(g - 5)*(g - 1)**2
Suppose 2/7*m**5 + 0*m**3 - 4/7*m**4 - 2/7*m + 0 + 4/7*m**2 = 0. Calculate m.
-1, 0, 1
Suppose -7*a + 2*a = -5, -4*u - 2*a + 10 = 0. Suppose 5*c - 5*p = 25, u*p = -0*p - 6. Find f such that 1/5*f**4 + 2/5*f - 1/5 + 0*f**c - 2/5*f**3 = 0.
-1, 1
Let n be (-2 + (-6 - 0))*26/(-52). Solve 2/7*p**3 - 2/7*p - 2/7*p**n + 6/7*p**2 - 4/7 = 0.
-1, 1, 2
Factor 0 + 0*o + 6/19*o**3 + 2/19*o**5 - 2/19*o**2 - 6/19*o**4.
2*o**2*(o - 1)**3/19
Let b = 9 - 15. Let g be (-3)/(-6) - (-3)/b. What is z in 4*z - 3*z**3 + g*z - 3*z**2 - 4*z = 0?
-1, 0
Let p = -3 - -5. Suppose -4*v**3 + 9*v + 4*v**3 + 9*v**p + 3*v**3 + 3 = 0. What is v?
-1
Let w be ((-20)/6)/(-3 + 1). Let q(n) = n**2 + 2. Let g be q(0). Factor 0 - 7/3*h**3 + w*h**g - 1/3*h + h**4.
h*(h - 1)**2*(3*h - 1)/3
Let x(p) be the third derivative of p**5/30 + p**4/12 - 9*p**2. What is j in x(j) = 0?
-1, 0
Let d(l) be the third derivative of 1/12*l**4 - 1/15*l**5 + 0 + 0*l + 1/3*l**3 + 4*l**2. Determine m so that d(m) = 0.
-1/2, 1
Let b = -7615 + 860489/113. Let k = 422/565 - b. Factor -k - 2/5*p + 2/5*p**2.
2*(p - 2)*(p + 1)/5
Let t(u) be the third derivative of 1/135*u**5 + 0*u + 0 - 1/540*u**6 - 8/27*u**3 + 4*u**2 + 1/27*u**4. Determine q so that t(q) = 0.
-2, 2
Suppose -5*n - 8 = -3*o, 20 = 3*o + n - 0*n. Suppose -2*p + o = h - p, -5*p + 9 = -2*h. Factor 4*t - 2*t**h - 8 + 4 + 2*t.
-2*(t - 1)**2*(t + 2)
Let r = -32 + 32. Find b such that r + 0*b + 1/3*b**2 = 0.
0
Let j(a) be the third derivative of 0*a + 0 - 2/21*a**3 - 1/210*a**5 + 1/28*a**4 - a**2. Determine y, given that j(y) = 0.
1, 2
Suppose -3*t = 9 + 3. Let x = t - -8. Determine c so that 4*c**4 + 4*c**5 - 10*c**3 + 4*c**2 - 3*c**x - 6*c**5 + 7*c**4 = 0.
0, 1, 2
Let b = 1 + -4. Let o = b + 6. Find n, given that -n**4 + n**o - 2 + n**3 - 2*n + 3 = 0.
-1, 1
Let d(z) be the first derivative of -z**4/48 + z**3/24 + z**2/4 + 4*z - 4. Let n(u) be the first derivative of d(u). Find o, given that n(o) = 0.
-1, 2
Let p(d) be the second derivative of -d**4/42 - 2*d**3/21 - d**2/7 + 3*d. Suppose p(z) = 0. Calculate z.
-1
Suppose -5 = 2*g - 3*g. Let w(x) be the first derivative of 2*x**3 + 0*x - 2 - x**2 + 2/5*x**g - 3/2*x**4. Find j such that w(j) = 0.
0, 1
What is p in 8*p - 8*p**5 - 17*p**2 - p**2 - 2*p**2 + 20*p**4 = 0?
-1, 0, 1/2, 1, 2
Let q be 385/90 + -3 + (-2)/(-9). Factor 0 + q*p**3 + 1/2*p**2 + p**4 + 0*p.
p**2*(p + 1)*(2*p + 1)/2
Let q = -29 + 21. Let s be 4/10*(-60)/q. Let 0 + 2/3*l + 7/3*l**2 - 2/3*l**s - 7/3*l**4 = 0. Calculate l.
-1, -2/7, 0, 1
Let y(r) be the second derivative of -r**6/60 - r**5/40 - 5*r**3/6 + 4*r. Let c(v) be the second derivative of y(v). Factor c(x).
-3*x*(2*x + 1)
Let l(k) be the first derivative of -k**4/3 + 8*k**3/9 - 2. Find w such that l(w) = 0.
0, 2
Let r(c) = -c**2 - 2*c. Let j(y) = 4*y**2 + 18*y + 8. Let k(m) = -j(m) - 6*r(m). Factor k(l).
2*(l - 4)*(l + 1)
Let p(t) be the first derivative of -7/6*t**4 + 2*t**3 - 5 + 4*t**2 - 8/3*t. Suppose p(c) = 0. Calculate c.
-1, 2/7, 2
What is i in -2/11 + 32/11*i**3 - 14/11*i - 16/11*i**2 = 0?
-1/4, 1
Let y(z) be the second derivative of -z**6/30 + z**4/3 - 19*z. Factor y(m).
-m**2*(m - 2)*(m + 2)
Let 9*m**5 - 3*m**4 + m**2 - 5*m**3 - 4*m**3 - 3*m**4 + 5*m**2 = 0. Calculate m.
-1, 0, 2/3, 1
Factor 9*y**3 + 3*y**3 - 15*y**3 + 6*y**2 - 3*y.
-3*y*(y - 1)**2
Suppose j = 5*m - 3 - 12, 0 = -3*m - 2*j + 9. Let z be m + 2*(-1)/2. Factor z*t**3 + 3*t**2 + 1 - 5*t**2 + 1 - 2*t.
2*(t - 1)**2*(t + 1)
Let q(a) = 4*a**3 + 6*a**2. Let u(m) = -m**3 - m**2. Let y(b) = 2*q(b) + 10*u(b). Solve y(v) = 0.
0, 1
Determine p so that -8192/5 - 1536/5*p - 2/5*p**3 - 96/5*p**2 = 0.
-16
Factor 0 - 2/3*c + 1/3*c**3 - 1/3*c**2.
c*(c - 2)*(c + 1)/3
Factor -4/7*k**3 + 4/7*k**4 + 4/7*k**5 + 0 + 0*k - 4/7*k**2.
4*k**2*(k - 1)*(k + 1)**2/7
Let u be 2/1*(2 + 5/(-10)). Suppose 0*t = -2*n + 3*t + 22, -4*n = -4*t - 36. Let -v**2 + 4*v**n - 4*v**u - v**2 + 2*v**4 + 0*v**5 = 0. What is v?
-1, -1/2, 0, 1
Let v(d) be the first derivative of d**6/39 - 4*d**5/65 - d**4/13 + 8*d**3/39 + d**2/13 - 4*d/13 - 2. Determine q so that v(q) = 0.
-1, 1, 2
Let m be -2 - 4/(-3)*3. Factor -2*i**2 + i**3 + 2*i**3 + 2 - 3*i**3 - m*i + 2*i**3.
2*(i - 1)**2*(i + 1)
Let x = -23/10 - -14/5. Let m(v) be the second derivative of v + x*v**3 + 1/4*v**4 + 1/2*v**2 + 1/20*v**5 + 0. Suppose m(f) = 0. What is f?
-1
Suppose 0 + 0*y + 0*y**3 - 1/6*y**2 + 1/6*y**4 = 0. What is y?
-1, 0, 1
Suppose 7 = 4*r - 13. Factor 3*v**4 - 3*v**r + 4*v**5 + 2*v**5 - 6*v**3.
3*v**3*(v - 1)*(v + 2)
Let s = 1/3 + 0. Factor s*j**2 + 0 + 2/3*j - 1/3*j**3.
-j*(j - 2)*(j + 1)/3
Let c(a) = 5*a**4 + 10*a**3 - 20*a**2 - 21*a + 26. Let z(j) = -j**4 - 2*j**3 + 4*j**2 + 4*j - 5. Let v(m) = -2*c(m) - 11*z(m). Determine h so that v(h) = 0.
-3, -1, 1
Let o(q) = 6*q**2 - 2*q. Let h(c) = c**2. Let k(y) = y**3 - 2*y**2 + 1. Let g be k(2). Let i(l) = g*o(l) - 4*h(l). Factor i(f).
2*f*(f - 1)
Let s(i) be the first derivative of -14*i**5/15 - 3*i**4/2 - 4*i**3/9 - 6. Find y such that s(y) = 0.
-1, -2/7, 0
Let d(b) be the third derivative of -1/8*b**3 - 1/160*b**6 + 0*b - 3/80*b**5 + 0 - 3/32*b**4 + 3*b**2. Determine j so that d(j) = 0.
-1
Let p(u) be the first derivative of -162*u**5/65 - 99*u**4/13 - 314*u**3/39 - 44*u**2/13 - 8*u/13 - 20. Find j, given that p(j) = 0.
-1, -2/9
Let g(p) = 4