 p, given that q(p) = 0.
-1, -2/3, 5
Let 0 - 1/3*z**2 - 1/3*z = 0. What is z?
-1, 0
Let h = 14596/18941 + -2/1457. Let y = h - 4/39. Factor -2/3*j + 2/3*j**3 + 0 - 2/3*j**4 + y*j**2.
-2*j*(j - 1)**2*(j + 1)/3
Let -4*h + 24/7 + 4/7*h**2 = 0. Calculate h.
1, 6
Let -2*o**5 - 8*o**3 + 7*o**4 - 7*o**4 + 4*o**5 - 4 + 4*o**2 + 6*o = 0. What is o?
-2, -1, 1
Let c be (20/(-6) + 3)/1*-1. Determine i, given that c*i**2 + 1/3 - 2/3*i = 0.
1
Let c(v) be the first derivative of 9*v + 1/3*v**3 - 3*v**2 + 3. Factor c(k).
(k - 3)**2
Let k(w) = 2*w - 4. Let q(u) = -u**3 - 9*u**2 + 9*u - 8. Let v be q(-10). Let t be k(v). Factor t - 2/5*y**2 + 4/5*y.
-2*y*(y - 2)/5
Determine h, given that 38/7*h**2 - 19/7*h - 5/7*h**3 - 2 = 0.
-2/5, 1, 7
Let y(f) = -12*f**4 + 40*f**3 - 34*f**2 + 6*f. Let q(r) = -24*r**4 + 80*r**3 - 67*r**2 + 11*r. Let h(k) = 2*q(k) - 5*y(k). Find a such that h(a) = 0.
0, 1/3, 1, 2
Let k(u) = 40*u**4 - 72*u**3 - 45*u**2 - 14*u + 8. Let t(h) = -27*h**4 + 48*h**3 + 30*h**2 + 9*h - 5. Let a(c) = 5*k(c) + 8*t(c). What is g in a(g) = 0?
-1/4, 0, 2
Let l(p) be the second derivative of -p**5/100 - p**4/20 - p**3/15 + 22*p. Suppose l(k) = 0. What is k?
-2, -1, 0
Let y(p) be the third derivative of 9*p**7/490 - p**6/14 - 23*p**5/140 + 3*p**4/28 + p**2. What is r in y(r) = 0?
-1, 0, 2/9, 3
Let b(t) be the third derivative of -t**5/30 + t**4/12 + 2*t**3/3 + 7*t**2. Factor b(d).
-2*(d - 2)*(d + 1)
Let j(z) be the first derivative of 2*z**5/5 - 2*z**4 + 8*z**3/3 + 23. Factor j(x).
2*x**2*(x - 2)**2
Let i(l) be the first derivative of -5*l**3/9 + 5*l**2/3 - 5*l/3 - 13. Factor i(o).
-5*(o - 1)**2/3
Let a(i) = -2*i**2 + 7*i - 2. Suppose 0 = 3*r + 4 - 16. Let w be 14/(-4) - r/(-8). Let v(t) = 10*t**2 - 36*t + 10. Let y(c) = w*v(c) - 16*a(c). Factor y(z).
2*(z - 1)**2
Let b(a) be the second derivative of 0 - 1/2*a**2 + a + 1/240*a**5 + 1/96*a**4 - 1/12*a**3. Let f(q) be the first derivative of b(q). Solve f(g) = 0.
-2, 1
Factor -8/7*u**2 + 0*u + 0 - 4/7*u**3.
-4*u**2*(u + 2)/7
Let f(s) be the third derivative of s**7/150 - 47*s**6/600 + 49*s**5/150 - 13*s**4/30 - 4*s**3/5 - 27*s**2. Factor f(o).
(o - 3)*(o - 2)**2*(7*o + 2)/5
Let f(r) = 3*r**4 + 3*r**3 - r + 1. Let t be -2*9/(-6) + -2. Let b(q) = q**4 + q**3 - q + 1. Let o(v) = t*f(v) - b(v). Determine w, given that o(w) = 0.
-1, 0
Let a(j) be the first derivative of -j**5/15 + j**4/12 + 5*j**3/9 + j**2/2 + 6. Factor a(x).
-x*(x - 3)*(x + 1)**2/3
Let n(h) be the first derivative of -h**6/8 + 21*h**5/20 + 3*h**4/8 - 23*h**3/2 - 195*h**2/8 - 75*h/4 - 20. Find y such that n(y) = 0.
-1, 5
Factor -b**2 + b**2 - 28*b**3 + 27*b**3.
-b**3
Suppose 0 = 3*r - 57 - 12. Factor r*x**2 + 42*x**3 - 4*x**4 - x**2 + 22*x**4 + 10*x**2 + 8*x.
2*x*(x + 1)*(3*x + 2)**2
Let p(m) be the third derivative of -m**7/420 + m**6/80 - m**5/40 + m**4/48 - m**2. Factor p(z).
-z*(z - 1)**3/2
Let p(k) be the third derivative of k**7/7560 - k**6/2160 + k**4/8 - 3*k**2. Let d(a) be the second derivative of p(a). Factor d(h).
h*(h - 1)/3
Let y(w) = w + 1 - 2 + 0. Let p be y(3). Find i such that 48*i**2 + 105*i + p*i**4 + 40 + 16*i**3 - 41*i - 8 = 0.
-2
Let d be ((-11)/198)/((-2)/4). Let i(k) be the second derivative of 1/54*k**4 + 0 + 1/27*k**3 - 1/90*k**5 - d*k**2 - 3*k. Factor i(o).
-2*(o - 1)**2*(o + 1)/9
Let k(m) be the second derivative of -m**7/210 - m**6/40 - m**5/20 - m**4/24 - m**2/2 - 2*m. Let u(a) be the first derivative of k(a). Factor u(j).
-j*(j + 1)**3
Let m be (-1)/2 - 234/(-132). Let y = m - -2/33. Determine u, given that -2/3*u**4 - 2/3*u**2 + 0 - y*u**3 + 0*u = 0.
-1, 0
Let g(o) be the third derivative of o**5/120 - o**4/8 + 3*o**3/4 + 3*o**2. Let g(m) = 0. Calculate m.
3
Let t(j) be the second derivative of 1/8*j**2 - 1/12*j**3 - 1/16*j**4 - 2*j + 0. Solve t(y) = 0.
-1, 1/3
Let a = 308/9 - 34. Let i(p) be the first derivative of 1/12*p**4 + 1/6*p**2 + 2 + 0*p + a*p**3. Factor i(f).
f*(f + 1)**2/3
Factor u - u - 1 - 3*u**2 + 2*u**3 - 3*u - 3*u**3.
-(u + 1)**3
Suppose -3*q + k - 5*k = -73, q + 3*k - 26 = 0. Suppose 0 = -3*i + 4*i + 2*g - 2, 5*g + q = i. Suppose 11/2*d + 1 + i*d**2 + 7/2*d**3 = 0. What is d?
-1, -2/7
Let o(z) = -6*z - 3. Let u be o(-1). Let c(r) be the first derivative of 1/8*r**4 - 1/2*r**u - 1/2*r + 3/4*r**2 - 2. Factor c(x).
(x - 1)**3/2
Suppose 3*q - 6 = -r - 2, 0 = -4*q + 4*r + 16. Factor -10*p**q - p - 4*p - p**3 - 2 + 6*p**2.
-(p + 1)**2*(p + 2)
Let f(x) be the third derivative of x**5/30 + x**4/2 + 3*x**3 - 5*x**2. Solve f(w) = 0 for w.
-3
Suppose -17 = -11*t + 5. Solve 1/4*r**3 + 1/2 + r**t + 5/4*r = 0.
-2, -1
Let j be 8 + -5 + 57/(-21) + 0. Factor -2/7*q**3 + j*q - 2/7*q**2 + 2/7.
-2*(q - 1)*(q + 1)**2/7
Let d(j) be the second derivative of j**7/84 + j**6/10 + 9*j**5/40 - 4*j. Factor d(m).
m**3*(m + 3)**2/2
Let q(x) = -x**2 - 13*x + 16. Let g be q(-14). Let -98/3*y**5 - 56/3*y**g + 0 + 30*y**3 + 8/3*y + 56/3*y**4 = 0. What is y?
-1, 0, 2/7, 1
Let x(k) be the first derivative of 2*k**3/3 + 3*k**2 - 8. Determine f, given that x(f) = 0.
-3, 0
Suppose 4*y + 3 + 7 = c, -5*y - 23 = 4*c. Let u = 11/5 + c. Suppose 3/5*i**2 - u*i - 3/5*i**3 + 1/5*i**4 + 0 = 0. What is i?
0, 1
Suppose 3*d - 13 = -4*i, -11 = -3*d - 5*i + 3*i. Factor 46*x**5 - x**2 + 2*x**3 + d*x**2 - 2*x**4 - 48*x**5.
-2*x**2*(x - 1)*(x + 1)**2
Let p(j) be the first derivative of -j**4/48 - j**3/4 - 9*j**2/8 + 7*j + 9. Let w(m) be the first derivative of p(m). Factor w(l).
-(l + 3)**2/4
Let m = 4 - 3. Let o(s) be the first derivative of 2*s + m + 1/6*s**3 + s**2. Factor o(h).
(h + 2)**2/2
Let p(f) be the first derivative of -3*f**5/5 - 3*f**4 - 3*f**3 + 6*f**2 + 12*f + 7. Factor p(h).
-3*(h - 1)*(h + 1)*(h + 2)**2
Let d = -1 - -1. Suppose -2*y + d*y = -4. Suppose 3*u - 3*u**y - 2*u**3 - 6*u + 3 + 5*u**3 = 0. What is u?
-1, 1
Let r(c) be the third derivative of c**6/40 + 3*c**5/20 - 8*c**2. Factor r(x).
3*x**2*(x + 3)
Let p be (3/6*4)/(-13 - -17). Let u = -16/7 - -39/14. Factor 0 - p*l + u*l**2.
l*(l - 1)/2
Suppose 0 = -n + 8 - 5. Suppose -q + 1 = w, -3*w = n*q - w - 2. Factor q + 2/5*l**2 + 1/5*l + 1/5*l**3.
l*(l + 1)**2/5
Let x(z) be the first derivative of 7*z**5/90 - 5*z**4/36 - 2*z**3/9 - 3*z**2/2 - 2. Let j(s) be the second derivative of x(s). Factor j(q).
2*(q - 1)*(7*q + 2)/3
Let p(l) be the third derivative of 3*l**5/10 - 5*l**4/8 - l**3/2 - l**2. Let v(f) = 17*f**2 - 15*f - 2. Let x(u) = 4*p(u) - 3*v(u). Factor x(y).
3*(y - 1)*(7*y + 2)
Let k(l) = -9*l - 144. Let h be k(-16). Factor h*g + 0 - 4/9*g**2 - 2/9*g**3.
-2*g**2*(g + 2)/9
Let j(o) be the first derivative of -2 - 1/30*o**5 - 1/42*o**4 - 1/2*o**2 + 0*o + 0*o**3. Let l(c) be the second derivative of j(c). Solve l(i) = 0 for i.
-2/7, 0
Factor -6/7*h - 8/7 + 2/7*h**2.
2*(h - 4)*(h + 1)/7
Let i(n) = n + 1. Let u be i(2). Let f be -10*2/(-4)*1. What is a in a**4 - 2*a**2 + a + 1 - 5*a**3 - u*a**5 + 3*a**3 + 4*a**f = 0?
-1, 1
Let a(b) = b**2 + 28*b - 29. Let d be a(-29). Let r be (-2)/10 - 42/(-10). Factor 2/9*i**r - 4/9*i**2 + 0*i + 2/9 + d*i**3.
2*(i - 1)**2*(i + 1)**2/9
Let i(u) be the third derivative of 0*u**4 - u**2 + 1/1344*u**8 + 0*u**3 - 1/280*u**7 + 0*u**5 + 0 + 1/240*u**6 + 0*u. Suppose i(v) = 0. What is v?
0, 1, 2
Let l(v) be the third derivative of v**5/210 + v**4/84 - 5*v**2. Factor l(i).
2*i*(i + 1)/7
Let c(f) = -f + 3. Let z be c(4). Let b be (38 + z + 1)/9. What is h in -4/3*h**3 - 20/9*h**5 + 0 - b*h**4 + 4/9*h + 10/9*h**2 = 0?
-1, -2/5, 0, 1/2
Let j(q) be the second derivative of 0 + 0*q**3 + q + 0*q**2 - 1/50*q**5 + 1/15*q**4. Factor j(p).
-2*p**2*(p - 2)/5
Let h(k) = k + 5. Suppose -y = -5*p + 3, 4*p = -4*y - 15 + 3. Let n be h(y). Let 6*b**2 + 2*b**2 - 4*b + 2 - 6*b**n = 0. Calculate b.
1
Factor 28/5*x - 4/5*x**3 - 24/5*x**2 + 0.
-4*x*(x - 1)*(x + 7)/5
Let y be (-11)/(-110)*2/12. Let j(q) be the third derivative of 0 + 0*q + 2/3*q**3 - 3*q**2 + 0*q**5 + 1/4*q**4 - y*q**6. Factor j(d).
-2*(d - 2)*(d + 1)**2
Let m = -15 + 22. Suppose 5*b = 27 - m. Find r such that -14/5*r**b + 18/5*r**3 - 18/5*r + 4/5 + 2*r**2 = 0.
-1, 2/7, 1
Let b(m) be the first derivative of 2*m**3/3 + 10*m**2/3 + 50*m/9 - 15. Solve b(t) = 0.
-5/3
Suppose 5*g - 24 = 3*r, -2*r = -6*g + 5*g + 2. Factor -9*j**3 - 2 + j**2 - 13*j**2 - 4 - 15*j + g*j**3.
-3*(j + 1)**2*(j + 2)
Let p(o) be the third deriv