1/3*i = 0.
0, 1
Suppose 4*s = 16 + 4. Suppose -s*i = 4*q - 0*i - 26, -8 = -4*q + 4*i. Solve -d**3 + d**4 - 2*d**2 + q*d**4 + d**2 - 3*d**5 = 0 for d.
-1/3, 0, 1
Factor -4*x**5 - x**5 - x**5 - 9*x**3 - 3*x**2 + 3*x**5 - 9*x**4.
-3*x**2*(x + 1)**3
Suppose -c = -1 - 20. Factor 12*l**2 + 0*l**2 + 5 - c*l - 11.
3*(l - 2)*(4*l + 1)
Let u(a) be the third derivative of 1/120*a**6 + 0*a**7 + 0*a + 0*a**4 - 1/90*a**5 - 1/1008*a**8 + 3*a**2 + 0 + 0*a**3. Factor u(v).
-v**2*(v - 1)**2*(v + 2)/3
Let n(p) = 3*p**2 - 51*p + 58. Let g(b) = 4*b**2 - 76*b + 88. Let u(v) = -5*g(v) + 8*n(v). Determine x, given that u(x) = 0.
1, 6
Let c(v) = 2*v**2 - v - 1. Let z = 5 + -6. Let n be c(z). Suppose q**2 - 1 + q**3 - 3*q**n - 3*q**2 - q + 6*q**2 = 0. Calculate q.
-1, 1
Let f be ((-6)/4)/((-12)/32). Let x(y) be the third derivative of 0 + 1/330*y**5 - 2*y**2 + 0*y**f + 0*y + 0*y**3. Factor x(r).
2*r**2/11
Let a(q) = -5*q**3 - 4*q**2 - 5*q - 6. Let c(z) = -z**3 - z**2 - z - 1. Let w(r) = -a(r) + 6*c(r). Solve w(l) = 0 for l.
-1, 0
Suppose -w = -5*o + 5, o - 5 = -2*o + w. Let z(m) be the first derivative of -m**2 + o*m + 4/3*m**3 - 1/2*m**4 + 2. Suppose z(l) = 0. Calculate l.
0, 1
Factor 2*p**2 - 26*p - 3*p**2 - 23*p + 41*p - 16.
-(p + 4)**2
Let h(b) = -b**2 - 6*b. Let j be h(-6). Suppose m = -j + 4. Suppose -4*l**5 + 2*l**5 + m*l**5 - l**5 = 0. What is l?
0
Let w(l) be the first derivative of l**3/3 + 4*l**2 + 16*l + 16. Factor w(h).
(h + 4)**2
Let n(g) be the third derivative of g**7/315 - g**6/180 - g**5/90 + g**4/36 - 5*g**2. Factor n(i).
2*i*(i - 1)**2*(i + 1)/3
Suppose 0 = -2*m + 2*y - 0*y, 4*m + 2*y = 12. Let c(p) be the first derivative of 1/3*p**2 - m + 2/3*p - 2/9*p**3 - 1/6*p**4. Factor c(j).
-2*(j - 1)*(j + 1)**2/3
Let t(p) be the second derivative of p**5/5 + p**4/3 + 5*p. Factor t(q).
4*q**2*(q + 1)
Let s(j) = -3*j - 5. Let u be s(-5). Let c = u - 2. Factor 29*d - c - 36*d**3 + 19*d - 61*d**3 - d**3 - 42*d**2.
-2*(d + 1)*(7*d - 2)**2
Let q(g) be the third derivative of g**6/80 - g**5/40 - g**4/2 + 3*g**3 - 5*g**2 + 4*g. Factor q(s).
3*(s - 2)**2*(s + 3)/2
Let n(i) be the first derivative of i**3/3 + i**2/2 + i + 2. Let u(g) = -9*g**2 + 4*g - 7. Let m(s) = -5*n(s) - u(s). Determine h so that m(h) = 0.
1/4, 2
What is p in -6/5*p - 4/5*p**2 + 0*p**4 - 2/5*p**5 + 4/5 + 8/5*p**3 = 0?
-2, -1, 1
Find g such that 0 - 3/7*g**2 - 3/7*g = 0.
-1, 0
Let s be ((0/(-3))/2)/2. Let t = 3 - s. Factor -5 - 4*q**t + 2*q + 5 + 2*q**5.
2*q*(q - 1)**2*(q + 1)**2
Let t(k) be the third derivative of -k**8/504 - k**7/105 - k**6/90 + 27*k**2. Solve t(l) = 0 for l.
-2, -1, 0
Let -8/11 - 20/11*o + 1/11*o**3 - 14/11*o**2 + 1/11*o**5 + 4/11*o**4 = 0. What is o?
-2, -1, 2
Let r(b) be the second derivative of -2/3*b**3 + 0*b**2 - 1/3*b**4 - 5*b + 0. Factor r(c).
-4*c*(c + 1)
Let n(m) be the second derivative of m**6/30 + m**5/10 - m**4/3 - m**3/3 + 3*m**2/2 - 8*m. Find g, given that n(g) = 0.
-3, -1, 1
Suppose 16 = -15*n + 23*n. Suppose -c + 0 + 5 = 0. Factor 0 + 2/3*r**c + 4*r**3 + 2/3*r - 8/3*r**4 - 8/3*r**n.
2*r*(r - 1)**4/3
Let j(r) be the first derivative of -r**6/6 - r**5/5 + r**4/4 + r**3/3 + 5. Determine o, given that j(o) = 0.
-1, 0, 1
Let s(k) be the first derivative of -k**3/12 + 5*k**2/4 - 25*k/4 + 2. Let s(h) = 0. Calculate h.
5
Let m = -4 + 6. Factor m*s - s**2 + 5 - s**2 - 1.
-2*(s - 2)*(s + 1)
Suppose 5*c = 4*l - 36, -5*l = c - 9 - 7. Suppose 4*a + 3 = -3*b, -l*a - 2*b = a - 5. Solve 10/3*n**4 + 0 + 2/3*n**2 + 3*n**a + 0*n + n**5 = 0.
-2, -1, -1/3, 0
Determine z so that 15/4*z**4 - 105/4*z**2 + 9 - 12*z - 3/2*z**3 = 0.
-2, -1, 2/5, 3
Let x(q) = 4*q**4 - 10*q**3 + 8*q**2 - 2*q - 4. Let y(m) = -4*m**4 + 10*m**3 - 8*m**2 + 2*m + 3. Let i(p) = 3*x(p) + 4*y(p). Factor i(h).
-2*h*(h - 1)**2*(2*h - 1)
Let q be 5 - (24/(-60))/((-36)/410). Factor -8/9 - 2/9*p**4 + 8/9*p - q*p**3 + 2/3*p**2.
-2*(p - 1)**2*(p + 2)**2/9
Let d(r) be the first derivative of 10/3*r**3 + 2 + 20/3*r**2 - 1/3*r**5 + 5*r + 0*r**4. Find v, given that d(v) = 0.
-1, 3
Let p = 1 + 3. Suppose -3*h**2 + 5*h**2 + 4*h - p*h**2 = 0. What is h?
0, 2
Let i(h) be the third derivative of -1/84*h**4 + 0 + 2/735*h**7 - 1/21*h**3 + 0*h + 1/84*h**6 + 1/70*h**5 + 3*h**2. Determine r so that i(r) = 0.
-1, 1/2
Let z = -16 - -31. Let l be 3 - (1 - (-24)/z). Factor -8/5*r**2 + 2*r - l.
-2*(r - 1)*(4*r - 1)/5
Let a = 13234/93555 + 536/1701. Let x = -2/165 + a. Suppose 2/9*k - 2/9*k**2 + x = 0. What is k?
-1, 2
Determine q, given that 0*q + 1/4*q**5 + 3/4*q**2 + 5/4*q**4 + 7/4*q**3 + 0 = 0.
-3, -1, 0
Let q = 4 - 2. Suppose -c = 4*z - 26, 3*c - 3*z - 3 = -0*z. Factor -2 + 12*b - 11*b**2 + c*b**3 - 2 - b**4 - q*b**2.
-(b - 2)**2*(b - 1)**2
Suppose 2*c - 2*o + 4*o = 8, c - 2*o = 7. Suppose 0*u + c = u. Find b, given that 4*b**4 - 2*b**2 + 4*b**2 + 2*b**3 + 2*b**4 + 2*b**u + 4*b**3 = 0.
-1, 0
Suppose 0 = -2*m - 3*m + 5. Let a(f) = f**3 + f**2 + f. Let w(v) = -2*v**3 - v**2 + 2*v + 2. Let s(c) = m*a(c) + w(c). Solve s(n) = 0 for n.
-1, 2
Suppose 3*q = 2*y + 20, 2*y + 7 - 3 = -q. Let 0 - 1/3*a**2 + 1/3*a**q - 2/3*a**3 + 2/3*a = 0. Calculate a.
-1, 0, 1, 2
Let k(s) be the second derivative of s**5/90 - s**4/27 - s. What is j in k(j) = 0?
0, 2
Factor -3/5*s**3 + 9/5*s**2 - 6/5*s + 0.
-3*s*(s - 2)*(s - 1)/5
Suppose -4*d + 10 + 14 = 0. What is b in -d*b - 3*b**2 + 13 - 13 = 0?
-2, 0
Let n = -11 - -4. Let g = 10 + n. Find l, given that -2*l**4 + l**2 + l**2 + 2*l - 2*l**g + 0*l**4 = 0.
-1, 0, 1
Let r(s) be the third derivative of 0 + 1/120*s**5 + 0*s**3 - 5*s**2 + 0*s - 1/16*s**4. Factor r(m).
m*(m - 3)/2
Suppose s = -4*k + 10, -4*s + 1 = -3*k - 1. Find t such that 4*t**s - 2*t**2 - 3 + t**2 = 0.
-1, 1
Let g(v) be the first derivative of 3 + 4/7*v - 3/7*v**2 - 10/21*v**3. Let g(c) = 0. Calculate c.
-1, 2/5
Suppose 48*t**2 + 2*t - t + 8*t + 44*t**3 + t**3 + 12*t**4 - 6 = 0. Calculate t.
-2, -1, 1/4
Let k(g) be the first derivative of -g**4/2 - 4*g**3/3 + 35. Factor k(n).
-2*n**2*(n + 2)
Suppose -5 - 2*z + 5 + z**2 + 0 = 0. Calculate z.
0, 2
Suppose -y = -2*c - 6, 4*c = -4*y - c - 15. Let p(d) be the second derivative of y - 1/9*d**4 + 1/18*d**3 + 0*d**2 - 2*d. Factor p(n).
-n*(4*n - 1)/3
Suppose 12 + 19*y - 32*y**2 - 17*y - 22*y = 0. What is y?
-1, 3/8
Factor -3/2*t - 31/4*t**2 + 5/4*t**4 - 3*t**3 + 2.
(t - 4)*(t + 1)**2*(5*t - 2)/4
Factor 6 + 7*b**2 - 7 - 6*b**2.
(b - 1)*(b + 1)
Let z(n) be the first derivative of n**4 - 20*n**3/3 + 14*n**2 - 12*n + 8. What is k in z(k) = 0?
1, 3
Let m(j) be the second derivative of 1/90*j**6 + 0 + 1/15*j**5 + 1/9*j**3 + 2*j + 0*j**2 + 5/36*j**4. Factor m(a).
a*(a + 1)**2*(a + 2)/3
Let o(c) be the first derivative of -c**5/10 - 2*c**4/3 - 4*c**3/3 - 3*c**2/2 + 3. Let m(f) be the second derivative of o(f). What is x in m(x) = 0?
-2, -2/3
Factor -5/3*d**3 - 1/3*d**5 + 0 + 0*d - 4/3*d**4 - 2/3*d**2.
-d**2*(d + 1)**2*(d + 2)/3
Suppose 118 = 32*g - 10. Factor 1/3*i**3 + 1/6 - 1/3*i - 1/6*i**g + 0*i**2.
-(i - 1)**3*(i + 1)/6
Let b(x) be the first derivative of -x**4/10 + 4*x**3/15 - x**2/5 + 1. Find r such that b(r) = 0.
0, 1
Let q(m) = -m**5 - m**4 + 8*m**3 - 4*m**2 + 3*m. Let r(x) = x**5 + x**4 - 9*x**3 + 5*x**2 - 4*x. Let p(l) = 6*q(l) + 5*r(l). Solve p(o) = 0.
-2, -1, 0, 1
Determine h so that 1/6*h**2 + 2/3 - 2/3*h = 0.
2
Let t be (-20)/10*338/(-4). Let s = 681/4 - t. Solve y**2 - 1/4*y**3 + 1/2 - s*y = 0 for y.
1, 2
Let m(f) = -f**3 + 12*f**2 - 12*f + 14. Let r be m(11). Factor 6*x**2 - x**2 - 4*x - r*x**2.
2*x*(x - 2)
Let b(k) be the second derivative of -k**7/84 + k**6/60 + 3*k**5/40 - k**4/24 - k**3/6 - 4*k. Determine i, given that b(i) = 0.
-1, 0, 1, 2
Let m(p) = -p**5 + p**2. Let z(s) = -s**5 - 2*s**4 + 4*s**2 - s. Let u(h) = -2*m(h) + z(h). Factor u(i).
i*(i - 1)**3*(i + 1)
Suppose 143 = 5*c + p + 3*p, -4*p + 35 = c. Let c*f + f**3 - f**3 + 7*f**3 + 8*f**3 - 6 - 36*f**2 = 0. What is f?
2/5, 1
Let a(i) be the third derivative of -2*i**2 + 8/3*i**3 - 2/3*i**4 + 0*i + 1/15*i**5 + 0. Find d such that a(d) = 0.
2
Factor 36/5*s**2 - 16/5 - 64/5*s.
4*(s - 2)*(9*s + 2)/5
Let w(i) be the third derivative of 11*i**5/90 + 13*i**4/36 + 2*i**3/9 - 17*i**2. What is r in w(r) = 0?
-1, -2/11
Factor -2*t**2 + 5 - 3 + 2 + 2*t.
-2*(t - 2)*(t + 1)
Let y = -1425/2 + 713. Factor -6*j + 3*j**2 - y*j**3 + 4.
-(j - 2)**3/2
L