late g.
-1/3, 0
Find y, given that 10/11*y**2 - 6/11*y + 0 = 0.
0, 3/5
Determine l, given that -4/3 - 14/9*l - 2/9*l**2 = 0.
-6, -1
Let p be 3 + 2 + (-6 - -3). Find h such that 3*h**2 + 7*h**2 - 7*h**p + 3*h**3 = 0.
-1, 0
Let t(z) = -z**2 + z. Let o(l) = -6*l**2 + 4*l + 2. Suppose 2*y = 7*y. Let v be 0 + y - -1 - 0. Let g(m) = v*o(m) - 8*t(m). Determine k, given that g(k) = 0.
1
Let k(s) be the first derivative of s**6/8 - 3*s**4/16 - 5. Determine y so that k(y) = 0.
-1, 0, 1
Let i(l) = -l**3 - 2*l**2 + 2*l - 1. Let t be i(-3). Let c = 254/3 + -84. Factor c*a - 2/3*a**t - 2/3*a**3 + 2/3.
-2*(a - 1)*(a + 1)**2/3
Let m(y) = 3*y**2 - 2*y - 5. Let g(l) = -1. Let d(z) = -4*z**2 + 3*z + 8. Let h(f) = -d(f) - 2*g(f). Let a(c) = -4*h(c) + 5*m(c). Let a(q) = 0. What is q?
1
Let b(f) be the second derivative of 0 - 1/4*f**4 + 0*f**2 - 4*f + 0*f**3 + 1/20*f**5. Find u such that b(u) = 0.
0, 3
Determine d so that -4/15 - 2/5*d - 2/15*d**2 = 0.
-2, -1
Let c(l) = -5*l**2 + 2*l - 1. Let s(m) = 9*m**2 - 3*m + 1. Let t(p) = 7*c(p) + 4*s(p). Factor t(a).
(a - 1)*(a + 3)
Let h(i) be the first derivative of 2*i**5/5 - i**4 + 2*i**3/3 + 5. Find x such that h(x) = 0.
0, 1
Let j(v) = -v**5 + v**4 + v + 1. Let b(w) = 3*w**5 + w**4 - 7*w**3 + 3*w**2 - 4*w - 4. Let y(m) = b(m) + 4*j(m). Factor y(k).
-k**2*(k - 3)*(k - 1)**2
Let m(v) be the second derivative of v**8/13440 + v**7/5040 - v**6/720 - v**4/3 + 4*v. Let d(c) be the third derivative of m(c). Let d(j) = 0. Calculate j.
-2, 0, 1
Let z(n) = n**3 - 5*n**2 + 2*n - 5. Let u be z(5). Suppose 1 = i - u. Factor 6*g**3 + 2 + 3*g - 10*g**2 - i*g + 8*g**4 - 3*g.
2*(g - 1)*(g + 1)**2*(4*g - 1)
Let d(a) be the second derivative of a**6/30 - a**5/4 + 3*a**4/4 - 7*a**3/6 + a**2 - a. Factor d(p).
(p - 2)*(p - 1)**3
Let c = 14 + -11. Solve 1/2*l**c + 0 + 1/2*l + l**2 = 0.
-1, 0
Suppose -5*g = y - 4, 0 = -5*g + g. Factor 20 + i**5 - 2*i**2 - 20 - i + 2*i**y.
i*(i - 1)*(i + 1)**3
Let g(u) be the third derivative of -1/5*u**3 + 1/15*u**4 + 5*u**2 - 1/150*u**5 + 0*u + 0. Determine z, given that g(z) = 0.
1, 3
Let z(x) = -x**2 + 9*x + 16. Let f be z(11). Let k = -4 - f. Let 1/4*w**k + 1/4*w - 1/2 = 0. What is w?
-2, 1
Let s = 5916/7 - 845. Factor -s*h**4 + 3/7*h**3 - 3/7*h**2 + 0 + 1/7*h.
-h*(h - 1)**3/7
Let f = 20 + -11. Suppose i - k - 1 = -0*k, 4*i + k = f. Factor -b**2 - b**3 + i*b + b**3 - b**3.
-b*(b - 1)*(b + 2)
Suppose -4*l + 17 + 28 = 5*w, 2*l + 5*w - 35 = 0. Let y be 4 + (-5)/10*l. Let -x + y*x**2 + 0 = 0. What is x?
0, 2/3
Let o(u) = u**3 + u**2 - 12*u + 2. Let y be o(-4). Let 0 - 4/7*p + 18/7*p**2 - y*p**3 = 0. What is p?
0, 2/7, 1
Let i = -452 - -454. Factor 1/3*n**3 - 1/3 - n**i + n.
(n - 1)**3/3
Suppose -7*i = -12*i. Let f(y) be the third derivative of 2*y**2 + 0*y**4 + 0 - 1/120*y**5 + i*y + 1/12*y**3. Factor f(v).
-(v - 1)*(v + 1)/2
Let b = 17 + -12. Determine l, given that -2 + l**5 + 2 + l**3 + 0*l**b + 2*l**4 = 0.
-1, 0
Let m(d) = 4*d**3 - 5*d**2 - 13*d - 13. Let c(p) = p**3 - p**2 - 3*p - 3. Let v be (5 - 2)/3*-9. Let b(s) = v*c(s) + 2*m(s). Factor b(a).
-(a - 1)*(a + 1)**2
Let r(t) be the second derivative of t**7/7560 - t**5/360 - t**4/4 - 3*t. Let b(x) be the third derivative of r(x). Factor b(n).
(n - 1)*(n + 1)/3
Let r = 8 - 5. Suppose z - 4*n - 18 = 0, -n + 4 = r*z + z. Factor -2/9*h + 0 + 4/9*h**z.
2*h*(2*h - 1)/9
Let h(c) be the first derivative of c**5/30 - c**4/8 + c**3/18 + c**2/4 - c/3 + 61. Factor h(l).
(l - 2)*(l - 1)**2*(l + 1)/6
Factor -1/4*s**2 + 0 - 2*s.
-s*(s + 8)/4
Let x(c) be the second derivative of 0*c**2 - 1/150*c**5 + 1/6*c**3 + 1/60*c**4 + 1/900*c**6 - 2*c + 0. Let t(h) be the second derivative of x(h). Factor t(y).
2*(y - 1)**2/5
Let j(a) be the first derivative of a**8/504 - a**6/45 - a**5/45 + a**4/12 + 2*a**3/9 - 7*a**2/2 + 9. Let o(l) be the second derivative of j(l). Factor o(m).
2*(m - 2)*(m - 1)*(m + 1)**3/3
Let p be (0 - 3) + (-15)/((-20)/4). Determine r so that 0*r + p - 2/5*r**2 + 2/5*r**3 = 0.
0, 1
Suppose -5*t - 38 = 2*p, t - 2*t = -2*p - 2. Let b be 4/t + (-80)/(-84). Let -18/7*w**4 + b + 4/7*w**3 - 12/7*w + 16/7*w**2 + 8/7*w**5 = 0. What is w?
-1, 1/4, 1
Let x(n) = n**2 + n - 1. Let h(a) = 4*a**2 + 11*a - 14. Let l(c) = h(c) - 5*x(c). Factor l(k).
-(k - 3)**2
Let y(s) be the first derivative of 2*s**5/25 + 7*s**4/10 + 16*s**3/15 - 16*s**2/5 - 18. Factor y(a).
2*a*(a - 1)*(a + 4)**2/5
Let o(s) = -6*s - 2. Let z be o(-1). Find x such that -7/3*x**2 + 7/3*x**z - 2/3*x**3 + 2/3*x + 0 = 0.
-1, 0, 2/7, 1
Solve -4*t**3 + t**2 - 2*t**2 + 8*t + 5*t**2 = 0 for t.
-1, 0, 2
Let -4*o**4 + 2/5*o + 0 + 6/5*o**5 - 12/5*o**2 + 24/5*o**3 = 0. Calculate o.
0, 1/3, 1
Let 3*l - 4*l - 11*l + 9*l**3 + 12*l**4 - 15*l**4 = 0. What is l?
-1, 0, 2
Let u(x) = -x**2 + 1. Let k(o) = 2*o**2 - 12*o - 22. Let g(s) = -k(s) - 4*u(s). Suppose g(v) = 0. Calculate v.
-3
Let n = 144339/38 + -3798. Let a = n - -2/19. Factor -1/2 + 1/2*p - a*p**3 + 1/2*p**2.
-(p - 1)**2*(p + 1)/2
Factor 3/7 - 9/7*k**4 + 6/7*k**2 + 3/7*k**5 - 9/7*k + 6/7*k**3.
3*(k - 1)**4*(k + 1)/7
Let z(c) be the third derivative of c**6/420 - c**5/30 + 5*c**4/28 - 3*c**3/7 - 3*c**2. Determine x, given that z(x) = 0.
1, 3
Let r = 68 - 66. Let 1/4*w + 1/4*w**3 + 0 + 1/2*w**r = 0. What is w?
-1, 0
Let n(w) be the first derivative of 1/4*w**4 + w - 1/3*w**3 - 4 - 1/2*w**2. Solve n(c) = 0 for c.
-1, 1
Let u(m) be the first derivative of 3*m**5/40 + m**4/16 - m**3/8 - m**2/8 - 26. What is l in u(l) = 0?
-1, -2/3, 0, 1
Determine m so that -21*m**3 + 90*m**2 + 12*m**4 - 6*m + 9*m**5 - 102*m**2 + 18*m = 0.
-2, -1, 0, 2/3, 1
Suppose 0 = -5*m + 15 + 25. Let g = 11 - m. Factor c**3 + 2*c**2 - 4*c**2 + c**g.
2*c**2*(c - 1)
Suppose u + 15*u - 48 = 0. Let w(k) be the first derivative of 3 - 1/7*k**2 - 2/7*k**u + 0*k + 2/7*k**4. Factor w(r).
2*r*(r - 1)*(4*r + 1)/7
Let d(v) be the third derivative of 0*v - 1/120*v**6 + 0 + 0*v**4 + 0*v**3 + 0*v**5 + 3*v**2. Factor d(j).
-j**3
Factor 0*k + k**4 + 0 - 3/2*k**3 + 1/2*k**2.
k**2*(k - 1)*(2*k - 1)/2
Find l such that -11*l**2 + 181 - 5*l**3 + 45*l - 12*l**2 + 8*l**2 - 206 = 0.
-5, 1
Let p(w) be the second derivative of w**4/12 + w**3 + 9*w**2/2 - 25*w. Factor p(n).
(n + 3)**2
Let z = -2 - -10. Let j = 11 - z. Factor -3*v**3 + 8*v - 2*v**3 - 6*v**2 + 9*v**4 - v**3 + v - 3*v**5 - j.
-3*(v - 1)**4*(v + 1)
Let s(z) be the third derivative of 0*z**4 - 1/105*z**7 + 0*z - 1/336*z**8 + 3*z**2 + 0 + 0*z**3 + 0*z**5 - 1/120*z**6. Determine t, given that s(t) = 0.
-1, 0
Let v(p) = 2*p**2 + 4*p - 2. Let y(l) = -3*l**2 - 5*l + 3. Let b(j) = 5*v(j) + 4*y(j). Suppose b(w) = 0. Calculate w.
-1, 1
Let w = 2/139 + 85/3753. Let d(k) be the second derivative of 0 + 1/27*k**3 - w*k**4 + 2/9*k**2 + 3*k - 1/90*k**5. Factor d(r).
-2*(r - 1)*(r + 1)*(r + 2)/9
Let n(a) = -22*a**2 - 55*a + 13. Let u(r) = -23*r**2 - 55*r + 12. Let s(g) = 3*n(g) - 2*u(g). Determine b so that s(b) = 0.
-3, 1/4
Let z(b) be the second derivative of -b**5/80 - b**4/12 - 5*b**3/24 - b**2/4 - 28*b. What is n in z(n) = 0?
-2, -1
Let -14*p**2 - p**3 + 22*p - 10 - 2*p**3 + 5*p**3 = 0. Calculate p.
1, 5
Let u = 3 - 3. Suppose u = -0*s + 2*s - 6. Factor 3*g**4 + 2*g**2 + 0*g**3 + 2*g**3 - s*g**5 - g**3 - 7*g**4.
-g**2*(g + 1)**2*(3*g - 2)
Suppose 3*d - 2 = 10. Factor 7*a**d + 10*a**2 + 0*a**3 + 4*a**3 - 16*a**2 + a**4 - 2 - 7*a + 3*a**5.
(a - 1)*(a + 1)**3*(3*a + 2)
Suppose -5*u**2 - 2*u - u**3 + 4*u**3 + 5*u**3 - u**3 = 0. Calculate u.
-2/7, 0, 1
Let g(n) be the first derivative of n**3/2 - 5*n**2/2 + 3*n/2 - 1. Factor g(d).
(d - 3)*(3*d - 1)/2
Let q(d) be the first derivative of 4*d**5/25 - 4*d**4/5 + 4*d**3/3 - 4*d**2/5 - 9. Determine n so that q(n) = 0.
0, 1, 2
Factor 5*b + 3*b - 6*b**2 + 5*b**2 - 3*b**2.
-4*b*(b - 2)
Let k be (-3)/9 - 16/(-45). Let l(r) be the second derivative of -k*r**6 + 0*r**2 + 1/18*r**4 + 0 + 1/9*r**3 + r - 1/30*r**5. Factor l(w).
-2*w*(w - 1)*(w + 1)**2/3
Let k(z) = z**2. Suppose -1 = -9*c + 8*c. Let j(a) = 6*a**2 - 3. Let b(f) = c*j(f) - 3*k(f). Find d, given that b(d) = 0.
-1, 1
Suppose 2*j = -j + 6. Determine f so that -3*f + 3*f - f**3 - j*f**4 + 2*f**5 - 3*f**5 = 0.
-1, 0
Let n(r) be the third derivative of 0 + 2/15*r**5 - 1/6*r**4 - 1/30*r**6 - 5*r**2 + 0*r**3 + 0*r. Factor n(d).
-4*d*(d - 1)**2
Let h(a) be the second derivative of