2)**2/3
Let l(k) = 6*k**4 - 3*k**3 - 9*k**2 - 3*k + 3. Let r(c) = -7*c**4 + 2*c**3 + 9*c**2 + 4*c - 4. Let y(a) = -4*l(a) - 3*r(a). Determine x, given that y(x) = 0.
-1, 0, 3
Let l(a) = -a**2 - a - 1. Let s(u) = -2*u**4 + 8*u**3 - 11*u**2 - 3*u - 3. Let y = 30 - 21. Let m be 25/y + (-4)/(-18). Let v(n) = m*l(n) - s(n). Factor v(b).
2*b**2*(b - 2)**2
Let u be (-6 - 76/(-12))/(2/24). Let y(m) be the first derivative of 0*m**2 + 0*m + u + 0*m**4 - 2/15*m**5 + 2/9*m**3. Factor y(q).
-2*q**2*(q - 1)*(q + 1)/3
Suppose -15*o + 10 = -13*o. Let n be 11/o + (-9)/45. Factor -2/7*i**4 + 4/7*i - 4/7*i**3 + 2/7 + 0*i**n.
-2*(i - 1)*(i + 1)**3/7
Let l(v) be the first derivative of -v**5/20 + v**4/8 + v**3 + 2*v**2 + 4. Let k(r) be the second derivative of l(r). Determine j, given that k(j) = 0.
-1, 2
Let j be (-2)/(-11) + 400/(-22). Let i be 1/(-2) + (-15)/j. Factor i*w**2 + 0*w - 1/3.
(w - 1)*(w + 1)/3
Suppose -p + 4*p = 18. Let h = p - 3. What is n in 0*n + 0 - 2/3*n**h - 2/3*n**2 = 0?
-1, 0
Suppose -4/3 + 22/9*y - 22/3*y**3 + 16/3*y**2 - 56/9*y**4 + 8/3*y**5 = 0. Calculate y.
-1, -2/3, 1/2, 3
Let s(y) be the first derivative of y**9/4536 + y**8/1890 + y**7/3780 + 4*y**3/3 + 4. Let v(z) be the third derivative of s(z). Factor v(i).
2*i**3*(i + 1)*(3*i + 1)/9
Let u(t) be the first derivative of 1/3*t**3 + 2 + 4*t - 2*t**2. Factor u(o).
(o - 2)**2
Let p(v) be the second derivative of -v**7/210 + v**6/60 - v**5/60 - 2*v**2 + 4*v. Let l(y) be the first derivative of p(y). Determine d, given that l(d) = 0.
0, 1
Let g(j) be the third derivative of -1/48*j**4 - 4*j**2 - 1/24*j**3 + 0 + 0*j - 1/240*j**5. Suppose g(k) = 0. What is k?
-1
Let k be (4 - 20/6) + 33/(-50). Let p(y) be the third derivative of k*y**5 + 0 + 0*y**6 - 1/525*y**7 + 0*y + 0*y**3 - 4*y**2 + 0*y**4. Factor p(o).
-2*o**2*(o - 1)*(o + 1)/5
Let g be 0 + (-2)/(-16)*4. Let p(l) be the second derivative of 3*l + 0 - g*l**4 - l**2 - 4/3*l**3. Solve p(t) = 0.
-1, -1/3
Let v(h) be the third derivative of h**5/45 + 2*h**4/9 + 8*h**3/9 + 16*h**2. Let v(t) = 0. Calculate t.
-2
Let f(y) = -10*y - 107. Let b be f(-11). Factor -2/7*i**4 - 6/7*i**2 + 6/7*i**b + 2/7*i + 0.
-2*i*(i - 1)**3/7
Factor 0*z**2 + 0 - 4/19*z**3 + 0*z - 2/19*z**4.
-2*z**3*(z + 2)/19
Let r(p) = -p**2 - 9*p - 6. Let s be r(-7). Factor 1 - 7*d**2 - s*d**2 + 16*d**2 - 2*d.
(d - 1)**2
Suppose 2*f = 3*l + 7, -f - 4*l = f. Suppose -c - c**f - 3*c + 2*c - c**2 = 0. Calculate c.
-1, 0
Let r(b) = -b**4 - b**3 + 1. Let n(p) = -2*p**4 + 5*p**3 + 22*p**2 + 24*p + 12. Let l(x) = -2*n(x) + 6*r(x). Let l(v) = 0. Calculate v.
-3, -1
Let z(a) = -2*a**3. Let l be z(-1). Suppose 3*r - 4 - 6 = -2*t, 8 = 2*r + 2*t. Solve l*d**2 - 3*d - 3*d + r*d = 0 for d.
0, 2
Find x such that -16*x**3 + 3*x**2 - 4*x**2 + 2*x**2 + 3*x**2 + 16*x - 4 = 0.
-1, 1/4, 1
Let z(o) = -7*o**3 - 26*o**2 - 75*o. Let w(q) = -q**3 + q**2. Let d(t) = 4*w(t) - z(t). Suppose d(p) = 0. Calculate p.
-5, 0
Let y(h) be the third derivative of 5*h**8/336 + h**7/42 - h**6/12 - h**5/6 + 5*h**4/24 + 5*h**3/6 + 11*h**2. Factor y(q).
5*(q - 1)**2*(q + 1)**3
Let j be 4 + (-8)/((-24)/6). Let l(k) be the third derivative of -1/30*k**4 + 0*k**3 - k**2 + 1/300*k**j + 0*k + 1/150*k**5 + 0. Let l(g) = 0. What is g?
-2, 0, 1
Let u(z) be the first derivative of 3/16*z**2 + 3/8*z**3 - 3/32*z**4 - 3/40*z**5 - 2 - 3/4*z. What is c in u(c) = 0?
-2, -1, 1
Let k(m) be the third derivative of 0*m + 1/4*m**4 - 2/3*m**3 - 1/30*m**5 + 0 - 2*m**2. Suppose k(h) = 0. What is h?
1, 2
Let d(t) = 1. Let b(q) = 5*q**2 + 5*q - 30. Let s(m) = -b(m) - 30*d(m). Factor s(i).
-5*i*(i + 1)
What is u in -3*u**4 + 7*u**3 + 23 - 21 + 0*u**2 - 7*u + u**2 = 0?
-1, 1/3, 1, 2
Let x be 0/1*((-16)/(-6))/8. Factor 0*r + 0 + 2/13*r**2 - 2/13*r**4 + x*r**3.
-2*r**2*(r - 1)*(r + 1)/13
Factor 0*p**2 + 1/5 - 2/5*p**3 + 2/5*p - 1/5*p**4.
-(p - 1)*(p + 1)**3/5
Let o(r) be the first derivative of -r**3/9 - 2*r**2/3 - r + 42. Solve o(t) = 0 for t.
-3, -1
What is j in -12/5*j**4 + 4/5 - 8/5*j**3 + 8/5*j**2 + 12/5*j - 4/5*j**5 = 0?
-1, 1
Let 2/13*f**2 + 0 + 4/13*f**3 + 0*f + 2/13*f**4 = 0. What is f?
-1, 0
Let i(y) = y**3 + 4*y**2 + 5*y + 5. Let n(u) = u**3 + 2*u**2 + 3*u + 3. Let w(j) = 3*i(j) - 5*n(j). Factor w(f).
-2*f**2*(f - 1)
Let j(s) = -5*s**5 + 9*s**4 - 11*s**3 + s**2 - 2*s - 2. Let x(z) = -4*z**2 + 0 + z + z**5 + 5*z**2 + z**3 + 1. Let v(y) = j(y) + 2*x(y). Factor v(a).
-3*a**2*(a - 1)**3
Let u(k) be the third derivative of k**8/336 - k**7/105 - k**6/40 + 2*k**5/15 - k**4/6 + k**2. Factor u(y).
y*(y - 2)*(y - 1)**2*(y + 2)
Let t = -95/3 - -32. Let r(o) be the second derivative of 0*o**2 + 2*o + t*o**3 + 1/10*o**5 + 1/3*o**4 + 0. Find y such that r(y) = 0.
-1, 0
Let l(i) be the third derivative of i**5/15 + i**4/6 - 4*i**3 + 26*i**2. Determine y, given that l(y) = 0.
-3, 2
Factor 0 + 0*u**2 + 0*u - 3/7*u**3 + 6/7*u**4 - 3/7*u**5.
-3*u**3*(u - 1)**2/7
Let f(a) = 5*a**3 - 3*a**2. Let b be -7 - -5 - (0 + 0). Let w(x) = -6*x**3 + 3*x**2. Let k(p) = b*w(p) - 3*f(p). Suppose k(z) = 0. Calculate z.
0, 1
Let i(p) = 42*p - 293. Let m be i(7). Suppose -m - 1/2*q**2 + 3/2*q = 0. What is q?
1, 2
Let o(f) be the second derivative of -f**4/12 + f**2/2 + 6*f. Let m = -3 - -2. Let a(y) = 3*y**2 + y - 2. Let d(j) = m*a(j) - 2*o(j). Factor d(i).
-i*(i + 1)
Let d(k) be the second derivative of 1/25*k**5 - 1/150*k**6 + 2/15*k**3 + 2*k - 1/10*k**4 - 1/10*k**2 + 0. Factor d(b).
-(b - 1)**4/5
Suppose -1101 - 299 = -4*l + j, 2*l + 5*j - 700 = 0. Let w be l/260 + (-2)/(-13). Let w*n**2 + 0*n - 3/2 = 0. What is n?
-1, 1
Let i(o) be the second derivative of 0*o**3 + 1/45*o**6 + 0*o**2 - 1/30*o**5 + 2*o + 1/54*o**4 + 0 - 1/189*o**7. Factor i(z).
-2*z**2*(z - 1)**3/9
Factor 0*b + 0 - 4*b**3 - 8/5*b**2 - 3/5*b**5 - 14/5*b**4.
-b**2*(b + 2)**2*(3*b + 2)/5
Let q = -21 - -25. Let u(i) be the third derivative of 0*i**3 + 1/90*i**5 + 0*i - i**2 - 1/360*i**6 + 0*i**q + 0. What is f in u(f) = 0?
0, 2
Let h(g) be the first derivative of -g**6/90 + g**5/30 + g - 2. Let q(p) be the first derivative of h(p). Let q(s) = 0. What is s?
0, 2
Let d be (1 - 7)*1/(-9). Let f(y) be the second derivative of 0 + 1/6*y**4 + y + 0*y**2 + d*y**3. Suppose f(r) = 0. Calculate r.
-2, 0
Let i(k) be the third derivative of -k**7/70 + k**6/40 + 3*k**5/20 - k**4/8 - k**3 + 9*k**2. Factor i(w).
-3*(w - 2)*(w - 1)*(w + 1)**2
Let y = 15903 - 79222/5. Let f = 59 - y. Factor 0 + 0*q**4 + 0*q**2 + 0*q + 2/5*q**3 - f*q**5.
-2*q**3*(q - 1)*(q + 1)/5
Let r = 4/29 - 42/725. Let z = r - -17/100. Factor -3/4*d**2 - 1/4*d**3 + z*d + 1/4*d**4 + 1/2.
(d - 2)*(d - 1)*(d + 1)**2/4
Let v(m) be the first derivative of m**6/3 - 2*m**5 + 9*m**4/2 - 14*m**3/3 + 2*m**2 + 40. Factor v(c).
2*c*(c - 2)*(c - 1)**3
Let f(n) be the first derivative of 9/4*n**2 + 3/2*n - 2 + 3/8*n**4 + 3/2*n**3. Find q, given that f(q) = 0.
-1
Suppose -l + 6 = 2. Let u be l/(-10) + 104/60. Suppose 1/3*i**2 + 4/3 - u*i = 0. What is i?
2
Let h(d) be the third derivative of d**8/924 - d**7/1155 - d**6/165 + d**5/165 + d**4/66 - d**3/33 + 8*d**2. Solve h(l) = 0.
-1, 1/2, 1
Let g(r) be the third derivative of -r**7/210 + r**6/240 - 7*r**4/24 - 3*r**2. Let a(i) be the second derivative of g(i). Factor a(w).
-3*w*(4*w - 1)
Let u = -8 - -10. Find x such that 2/3*x**4 + 2/3*x + 0 - 2/3*x**3 - 2/3*x**u = 0.
-1, 0, 1
Let x(b) = -2*b**4 + 4*b**3 + 4*b**2 - 6*b - 6. Let s(t) = -2*t**4 + 4*t**3 + 3*t**2 - 5*t - 5. Let a(l) = 6*s(l) - 5*x(l). Solve a(y) = 0 for y.
0, 1
Suppose -5*b = -2*w, 4*b - 2*w - 2*w = -12. Factor 2*i**2 + b - 10*i**2 - 2 + 24*i**3 + 14*i**4.
2*i**2*(i + 2)*(7*i - 2)
Let r = 25/12 + -7/4. Factor r*x + 0*x**4 + 0*x**2 - 2/3*x**3 + 1/3*x**5 + 0.
x*(x - 1)**2*(x + 1)**2/3
Let l(s) = 10*s**2 - 16*s - 14. Let o(n) = n**2. Let d(w) = l(w) - 12*o(w). Factor d(u).
-2*(u + 1)*(u + 7)
Let a(p) be the first derivative of p**6/2 - 3*p**5 + 21*p**4/4 - 3*p**3 - 33. Factor a(z).
3*z**2*(z - 3)*(z - 1)**2
Suppose 2*i = 3*i - 5. Let y = i + -3. Find w such that 3*w - 2*w**2 - y*w**3 - 1 - w + 3 = 0.
-1, 1
Let w(x) = 4*x**3 - 11*x**2 + 15*x - 3. Let l(s) = -12*s**3 + 34*s**2 - 46*s + 10. Let q(d) = 5*l(d) + 14*w(d). Factor q(o).
-4*(o - 2)*(o - 1)**2
Let l(d) be the second derivative of 0*d**2 + 1/40*d**5 + 1/24*d**4 - 1/12*d**3 + 0 - 1/60*d**6 - 3*d. Fact