at j(f) = 0.
0, 2
Let u = -1/19 + 135/38. Suppose u*h**2 - 2 - 6*h = 0. What is h?
-2/7, 2
Suppose -90*v + 8 = -86*v. Factor -3/4*y + 0 + 3/4*y**v.
3*y*(y - 1)/4
Let 0 + 3/8*f**3 - 1/8*f**5 - 1/8*f**2 + 1/8*f**4 - 1/4*f = 0. Calculate f.
-1, 0, 1, 2
Factor 1/3*c**4 + 1/3*c**5 - 2/3*c**3 + 1/3 - 2/3*c**2 + 1/3*c.
(c - 1)**2*(c + 1)**3/3
Suppose 2*q + 0*q - 4 = 0. Let r be -1 + q + 4/(-8). Factor r*v**2 - v + 1/2.
(v - 1)**2/2
Let x(w) = w**3 - w + 1. Suppose 3*c + 2*c + 25 = 0. Let a = c + 11. Let g(y) = 7*y**3 - 2*y**2 - 7*y + 8. Let d(i) = a*x(i) - g(i). Let d(j) = 0. What is j?
-1, 1, 2
Let u(j) = -j**5 - j**4 + 7*j**2 + 7*j - 3. Let v(q) = q**5 + 2*q**4 + q**3 - 6*q**2 - 6*q + 2. Let x(c) = -2*u(c) - 3*v(c). Find r such that x(r) = 0.
-2, -1, 0, 1
Let x = 10 - 6. Let j(d) be the second derivative of 2*d**2 + 1/3*d**3 + 2*d - 1/6*d**x + 0. Solve j(n) = 0.
-1, 2
Let y be (-2 - 0) + (3 - -1). Find w, given that 8*w**4 - 8 - 11*w**3 + y*w**4 + 34*w**2 - 34*w**3 + 9*w**3 = 0.
-2/5, 1, 2
Let g(i) = 8*i**3 - 31*i**2 - 32*i + 10. Let a(c) = 56*c**3 - 216*c**2 - 224*c + 70. Let b(z) = -6*a(z) + 44*g(z). Factor b(j).
4*(j - 5)*(j + 1)*(4*j - 1)
Factor 6/7*i - 20/7 + 2/7*i**2.
2*(i - 2)*(i + 5)/7
Solve 8*w**3 - 2*w**3 - 3*w**5 + w - 4*w = 0 for w.
-1, 0, 1
Let c = 4 - 2. Factor 3*l**4 - c - 8*l + 3*l**3 + 4*l - l**4 + l**3.
2*(l - 1)*(l + 1)**3
Let d = -8 + 13. Suppose 2*f + 0*t - 21 = d*t, -4*f - t = -9. Factor -h**f - 4*h**2 - 3*h**4 - 5*h**3 + h**4.
-2*h**2*(h + 1)*(h + 2)
Let j(o) be the first derivative of 0*o - 3 - 1/5*o**4 - 1/5*o**2 - 1/25*o**5 - 1/3*o**3. Suppose j(s) = 0. Calculate s.
-2, -1, 0
Let z = -184/7 - -192/7. Determine x so that -z*x + 2/7*x**2 + 8/7 = 0.
2
Let r(h) be the second derivative of -h**7/28 + h**6/10 + 9*h**5/40 - h**4 + h**3 + 30*h. Determine b, given that r(b) = 0.
-2, 0, 1, 2
Let 2/9*f**5 - 2/9*f**3 + 2/9*f**2 - 2/9*f**4 + 0 + 0*f = 0. Calculate f.
-1, 0, 1
Let n(m) be the second derivative of 9*m**5/100 + m**4/4 - 11*m**3/10 + 9*m**2/10 - 5*m. Determine b, given that n(b) = 0.
-3, 1/3, 1
Suppose r - 2*r + 2*h + 16 = 0, -5*h = -20. Let b be ((-4)/12)/((-20)/r). Factor 0 + 2/5*w**2 - 2/5*w**3 + 2/5*w - b*w**4.
-2*w*(w - 1)*(w + 1)**2/5
Let y be (3/(-50))/(1/(6/(-9))). Let x(q) be the first derivative of -1/5*q - 1 + 0*q**2 + 2/15*q**3 + 0*q**4 - y*q**5. Factor x(g).
-(g - 1)**2*(g + 1)**2/5
Let x = 12 + -6. Let m be -2*1*(-1)/x. Find g, given that 0*g - 1/3*g**2 + 1/3*g**3 - m*g**5 + 0 + 1/3*g**4 = 0.
-1, 0, 1
Let m(y) = -y**3 + y**2 + y. Let f(z) = -4*z**3 + 16*z**2 + 22*z + 8. Let n(w) = -f(w) + 6*m(w). Solve n(u) = 0 for u.
-2, -1
Let j(x) = 6*x - 2. Let a be j(2). Solve 14*p**4 + 4*p**2 + 0*p**2 + 11*p**3 - a*p**4 - 3*p**3 = 0.
-1, 0
Let y(t) = 4*t**3 + 6*t**2 - 10*t + 10. Let m = 3 + -3. Suppose m = -2*f - f - 30. Let p(k) = -k**3 - 2*k**2 + 3*k - 3. Let n(l) = f*p(l) - 3*y(l). Factor n(s).
-2*s**2*(s - 1)
Suppose 0 = -7*j + 14*j. Factor -3/7*w - 9/7*w**2 - 3/7*w**4 + j - 9/7*w**3.
-3*w*(w + 1)**3/7
Let s(u) be the third derivative of -1/12*u**3 + 0*u + 1/32*u**4 - 1/480*u**6 + 0 - 5*u**2 + 0*u**5. Let s(k) = 0. What is k?
-2, 1
Let q = -227 - -114. Let t = 567/5 + q. Find d such that -2/5*d**2 + 4/5 - t*d = 0.
-2, 1
Let p(h) be the third derivative of h**6/2160 - h**5/360 - h**3/2 + 4*h**2. Let f(k) be the first derivative of p(k). Factor f(v).
v*(v - 2)/6
Factor 0*z + 0 + 0*z**3 - 1/3*z**4 + 1/3*z**2.
-z**2*(z - 1)*(z + 1)/3
Factor 6*i**3 - 18*i**3 - 4*i + 4*i**4 + 9*i**2 + 3*i**2.
4*i*(i - 1)**3
Let w = 10 - 14. Let c(l) = l**3 + 3*l**2 - 4*l + 2. Let i be c(w). What is j in 4/3 + 2/3*j**i + 2*j = 0?
-2, -1
Let o(r) be the second derivative of -r**6/3 - 3*r**5/10 + 2*r**4 - 4*r**3/3 - 6*r. Find z, given that o(z) = 0.
-2, 0, 2/5, 1
Let b be 12/(-14)*-5*6/45. Factor -2/7*l - 2/7*l**2 + b.
-2*(l - 1)*(l + 2)/7
Suppose 0 = 3*t + 3*a - 9, -3*t + t - 3*a = -1. Let k be (t/(-14))/(48/(-56)). Solve 0 - k*n**2 + 1/3*n**5 + 0*n**3 + 2/3*n**4 - 1/3*n = 0.
-1, 0, 1
Let o = 4 - 7. Let k be 2 - (2 + (o - -1)). Factor 2*c**3 - 19*c**5 - 4*c**5 + k*c**4 - c**5.
-2*c**3*(3*c - 1)*(4*c + 1)
Let x = -166/3 - -56. Let f be ((-2)/9)/(1/(-6)). Factor -f + 2*s - x*s**2.
-2*(s - 2)*(s - 1)/3
Let o(f) be the third derivative of f**11/665280 - f**9/120960 + f**5/30 - 3*f**2. Let u(a) be the third derivative of o(a). Factor u(v).
v**3*(v - 1)*(v + 1)/2
Let 1/2*f**4 + 11/2*f**2 + 0 - 5/2*f - 7/2*f**3 = 0. Calculate f.
0, 1, 5
Let k(i) be the second derivative of i**8/10920 - i**7/2730 + i**5/390 - i**4/156 + i**3/3 - 7*i. Let y(m) be the second derivative of k(m). Factor y(n).
2*(n - 1)**3*(n + 1)/13
Let j(l) be the first derivative of 2*l**5/5 + l**4/2 - 2*l**3 - 5*l**2 - 4*l - 30. Factor j(q).
2*(q - 2)*(q + 1)**3
Let r(k) be the second derivative of 4/3*k**6 - 9/5*k**5 + 4/3*k**3 + 0*k**2 + 10*k - k**4 + 0. Find p, given that r(p) = 0.
-1/2, 0, 2/5, 1
Suppose -4*w + 6*w - 4*u - 22 = 0, w - 7 = 4*u. Suppose -5*n = -0*n - w. Factor 0*p + 0*p**2 + 0 + 1/3*p**n.
p**3/3
Let f(o) be the first derivative of 5*o**4/7 + 2*o**3/21 - o**2 + 4*o/7 + 3. Solve f(l) = 0 for l.
-1, 2/5, 1/2
Find k such that 168*k**2 + 1200*k**4 + 38*k**2 + 1080*k**3 + 48*k + 375*k**5 + 178*k**2 = 0.
-2, -2/5, 0
Let z(a) be the third derivative of 0 + 0*a + 1/54*a**4 + 0*a**3 + 1/90*a**5 + a**2 - 1/108*a**6. Factor z(p).
-2*p*(p - 1)*(5*p + 2)/9
Let l(r) = r**2 + 2*r - 3. Let k be l(2). Suppose d**2 + d**2 - k*d**2 - 15*d**3 + 18*d**3 = 0. Calculate d.
0, 1
Let w(i) be the third derivative of i**7/189 + i**6/180 - 7*i**5/270 - i**4/36 + 2*i**3/27 - 3*i**2. Solve w(q) = 0.
-1, 2/5, 1
Let z = -16 - -20. Let y(l) be the second derivative of -1/2*l**2 - 1/4*l**z - 1/4*l**5 + 2/15*l**6 - 2*l + 5/6*l**3 + 0. Factor y(c).
(c - 1)**2*(c + 1)*(4*c - 1)
Let w(g) be the third derivative of 0*g**6 + 0*g**3 + 0 + 1/8*g**4 + 3/20*g**5 + 0*g + 3*g**2 - 2/35*g**7. Suppose w(z) = 0. What is z?
-1/2, 0, 1
Solve 1/4*h**2 + 0 + 1/4*h = 0.
-1, 0
Suppose -14 = -4*x + 2. Suppose -3*t = 3*j - 24, 0 = x*t - 0*j + j - 17. Find s such that -22/3*s - 90*s**5 + 8/3*s**2 + 36*s**4 - 4/3 + 60*s**t = 0.
-1/3, 2/5, 1
Let h(l) be the second derivative of 3*l**5/100 - 3*l**3/10 + 3*l**2/5 + 21*l. Solve h(s) = 0.
-2, 1
Suppose 2*z + 4*w = -14, -w = 3 + 2. Let n(p) be the first derivative of -2/3*p**z - 2 - p**2 + 0*p. Find v such that n(v) = 0.
-1, 0
Let h(j) be the first derivative of j**3/15 - j/5 + 3. Determine a, given that h(a) = 0.
-1, 1
Let n = -12065/11 - -1097. Find x, given that 4/11*x - n*x**2 + 2/11*x**4 - 34/11*x**3 + 0 + 30/11*x**5 = 0.
-1, -2/5, 0, 1/3, 1
What is y in -y - 2 - 2*y**2 + 4*y**2 - y**2 = 0?
-1, 2
Let y be 3 + ((-3)/(-15))/(3/(-15)). Find i such that 0 + 1/4*i**y - 1/4*i = 0.
0, 1
Let t(k) be the third derivative of 0 - 1/5*k**5 + 0*k**4 + 0*k + 8/3*k**3 - 1/30*k**6 - 8*k**2. Factor t(j).
-4*(j - 1)*(j + 2)**2
Let q(w) = -2*w**3 + 3*w**3 - w + w**2 - 6*w**3 + 3*w**2 - 4. Let g(l) = l**3 - l**2 + 1. Let x(a) = 6*g(a) + q(a). Let x(o) = 0. Calculate o.
-1, 1, 2
Let k = 19 + -16. Solve o**3 - 2*o**k - 7*o + 1 + 8*o - o**2 = 0.
-1, 1
Let u(g) = g - 7. Let k(f) = -9*f**3 + f + 1. Let w be k(-1). Let l be u(w). Find b such that -l*b**2 + 5*b**5 + 2*b**4 - 2*b**3 - 3*b**5 + 0*b**3 = 0.
-1, 0, 1
Let i be 76/(-6) + 8/12. Let r be (-4)/i + 5/3. Let -4*u + 5*u - r*u**4 - u**5 + 0*u**2 + 2*u**2 = 0. What is u?
-1, 0, 1
Factor -8 + 11*l**3 + 4 - l**3 + 14*l + 0*l**4 - 2*l**4 - 18*l**2.
-2*(l - 2)*(l - 1)**3
Let r = 34 - 10. Suppose 0*a - r = -3*a. Factor -8/3*j**3 + 16/3 - 32/3*j + a*j**2 + 1/3*j**4.
(j - 2)**4/3
Let w be (2/(-25))/(5/15). Let n = 7/75 - w. What is x in n*x**2 + 0 + 0*x = 0?
0
Let l(y) be the third derivative of 0*y + 0 + 5/108*y**4 + y**2 - 1/90*y**5 - 2/27*y**3. Factor l(m).
-2*(m - 1)*(3*m - 2)/9
Let w(m) be the second derivative of -m**5/110 + m**4/11 - 3*m**3/11 + 29*m. Determine a, given that w(a) = 0.
0, 3
Let b = -443/45 + 94/9. Let 3/5*o**2 + 6/5*o + b = 0. Calculate o.
-1
Let s = -217 + 217. Solve 1/5*c + 0*c**2 + s - 1/5*c**3 = 0.
-1, 0, 1
Find c, given that 10/3*c**2 - 10/9*c**4 - 14/9*c - 4/9 - 2/9*c**3 = 0.
-2, -1/5, 1
Let q = 23 + -44. Let w be 6/q*3/(-3). Find m such that -8/7 + 8/7*m - w*m**2 = 0.
2
Let y(r) be the first derivative of -3*r**5/5 - 3*