11*z + 11. Let t(i) = i**2 + i + 1. Let j(c) = -2*f(c) + 18*t(c). Determine g so that j(g) = 0.
-1/3, 1
Let -77 - 84 + 146 + 9*o**2 + 6*o = 0. What is o?
-5/3, 1
Find k, given that 8/3*k**4 - 16/3*k**3 - 2/3 + 4/3*k + 2*k**2 = 0.
-1/2, 1/2, 1
Suppose 0 = -10*o - 19 + 59. Let f(x) be the second derivative of 0 + 1/18*x**o - 4*x + 0*x**2 + 2/9*x**3. Let f(c) = 0. Calculate c.
-2, 0
Let l(q) be the third derivative of -q**2 - 1/504*q**8 + 8/9*q**3 + 1/9*q**4 - 1/180*q**6 - 1/9*q**5 + 4/315*q**7 + 0 + 0*q. Find z, given that l(z) = 0.
-1, 2
Let q(a) be the third derivative of -a**6/30 - a**5/30 + a**4/12 + 8*a**2. What is h in q(h) = 0?
-1, 0, 1/2
Let d be (3 + -4)/(-1) - -2. Suppose 3*p - 5*w - 10 = -2*p, -3*p + 8 = -2*w. Factor -2*l**p + 5*l**4 + d - l**2 - 5*l**2.
3*(l - 1)**2*(l + 1)**2
Suppose -18 = 3*d + g - 7, -3*d - 3*g - 21 = 0. Let b(n) = 2*n**2 - n - 3. Let p(u) = -2*u**2 + 2. Let m(a) = d*b(a) - 3*p(a). Determine z so that m(z) = 0.
-1, 0
Let t(b) = -b + 2. Let w be t(-7). Let q be ((-6)/(-4))/(-3)*-6. Factor -c**4 - c**q + w*c**5 + 2*c**4 - c**2 - 8*c**5.
c**2*(c - 1)*(c + 1)**2
Let m(w) be the first derivative of 147*w**5/20 - 189*w**4/8 + 109*w**3/4 - 27*w**2/2 + 3*w + 1. Factor m(p).
3*(p - 1)**2*(7*p - 2)**2/4
Let i be ((-328)/(-2) - -1) + 2. Solve 57*n**3 + 85*n + 24 + 9*n**4 - 3*n - 41*n**2 + 26*n + i*n**2 = 0.
-2, -1/3
Let o(t) = t + 5. Let f be o(0). Factor k + 0*k + 5*k**2 + k**2 - f*k**2.
k*(k + 1)
Let o(a) be the second derivative of -2*a**7/105 + a**5/25 - 7*a. Factor o(l).
-4*l**3*(l - 1)*(l + 1)/5
Let c(n) be the third derivative of n**6/60 - n**5/30 - n**4/6 + n**2. Find f such that c(f) = 0.
-1, 0, 2
Solve 7/3 + 22/3*g + 8*g**2 + 1/3*g**4 + 10/3*g**3 = 0 for g.
-7, -1
Let m(w) be the first derivative of 2 + 0*w**5 + 3*w + 0*w**2 - 1/75*w**6 + 1/30*w**4 + 0*w**3. Let l(c) be the first derivative of m(c). Factor l(z).
-2*z**2*(z - 1)*(z + 1)/5
Let r = -1 + 3. Suppose -2*f = 5*t + 21, -2*f - t = -2*t - 9. Find b such that -5*b**2 + 0*b**r + 3*b**2 + f = 0.
-1, 1
Let f(u) be the third derivative of -u**7/840 + u**6/80 - u**4/4 + 8*u**2. Let b(w) be the second derivative of f(w). Let b(m) = 0. Calculate m.
0, 3
Let k(r) be the first derivative of 5*r**6/6 + r**5 - 5*r**4/4 - 5*r**3/3 + 6. Factor k(c).
5*c**2*(c - 1)*(c + 1)**2
Let y(p) = -p**3 - 2*p**2 + 2*p + 7. Let r = -19 + 16. Let w be y(r). Factor -8/5 + w*o**3 - 32/5*o - 2*o**2.
2*(o - 1)*(5*o + 2)**2/5
Factor 20/3*j + 8 + 4/3*j**2.
4*(j + 2)*(j + 3)/3
Let c(m) = m**3 + 2*m**2 + m - 1. Let g(b) = 7*b**3 + 11*b**2 + 5*b + 1. Let a(q) = -40*c(q) + 5*g(q). Determine o so that a(o) = 0.
-3, 1
Suppose -4*g + 2*g - 2 = 2*x, g = 4*x + 24. Factor -d**2 - 1 - 2*d - g + 4.
-(d + 1)**2
Suppose a = 5*l - 8, -2*a + 3*l - 2*l + 2 = 0. Factor d**a - 4*d**2 - 3*d**2 + 3*d**2 + 6*d.
-3*d*(d - 2)
Let u = 163 - 487/3. Factor -u*j**3 + 0*j**2 + 1/3*j + 0 + 0*j**4 + 1/3*j**5.
j*(j - 1)**2*(j + 1)**2/3
What is o in -14*o + 5*o**3 + 13*o + 10*o**2 + 6*o = 0?
-1, 0
Factor -2/7*l**4 - 10/7*l**2 + 4/7*l + 0 + 8/7*l**3.
-2*l*(l - 2)*(l - 1)**2/7
Let v(b) be the third derivative of b**8/1344 - b**7/840 - b**6/240 + b**5/120 + b**4/96 - b**3/24 + 7*b**2. Factor v(l).
(l - 1)**3*(l + 1)**2/4
Let r(b) be the second derivative of -b**9/3780 - b**8/2240 + b**7/2520 + b**4/6 + 2*b. Let u(c) be the third derivative of r(c). Factor u(s).
-s**2*(s + 1)*(4*s - 1)
Let i(b) be the third derivative of 10*b**2 + 1/40*b**6 + 0 + 0*b**5 + 0*b - 3/8*b**4 - b**3. Factor i(u).
3*(u - 2)*(u + 1)**2
Let v be 19/6 - (-1)/(-6). Let y(z) be the third derivative of 0*z - 1/6*z**3 + 1/60*z**5 + 0*z**4 - v*z**2 + 0. Factor y(l).
(l - 1)*(l + 1)
Let u(s) = 2*s**3 + s**2 + 1. Let v(y) = -y**3. Let d(l) = -u(l) - v(l). Let w(j) = -6*j**3 + 3*j - 6. Let o(q) = 3*d(q) - w(q). Suppose o(f) = 0. Calculate f.
-1, 1
Suppose 8*b - 48 = 4*b. Let z be 8/18 - b/(-54). Factor 2/3*r**2 + 1/3*r + 0 - 1/3*r**3 - z*r**4.
-r*(r - 1)*(r + 1)*(2*r + 1)/3
Factor 0 - 3*a - 3/4*a**4 + 3*a**2 + 3/4*a**3.
-3*a*(a - 2)*(a - 1)*(a + 2)/4
Let b(l) = -2*l + 7. Let w be b(6). Let j = w - -5. Factor j + 3/2*u**2 + 3/2*u.
3*u*(u + 1)/2
Let u = 81/14 + -11/2. Let h = -26 - -29. Factor -2/7*l**2 + 0*l + u*l**h + 0.
2*l**2*(l - 1)/7
Let o = 591/2 - 295. What is p in 0 + 1/4*p**2 - o*p = 0?
0, 2
Let j(f) be the third derivative of -4/9*f**3 + 0*f + 0 - 1/90*f**5 + 1/9*f**4 + 3*f**2. Factor j(m).
-2*(m - 2)**2/3
Let u(n) be the first derivative of -2 - 1/6*n**3 + 1/4*n + 1/20*n**5 + 1/24*n**6 + 1/8*n**2 - 1/8*n**4. Factor u(k).
(k - 1)**2*(k + 1)**3/4
Let k be (63/12)/(1/2). Suppose -k*g**2 + 3*g + 0 = 0. What is g?
0, 2/7
Let l be 1/(-1)*(0/1 + -4). Solve l*z + 2 + 5/2*z**2 + 1/2*z**3 = 0 for z.
-2, -1
Let o(b) be the second derivative of 0*b**2 - 1/10*b**5 + 4/15*b**3 + 4*b + 0 - 7/15*b**4 + 1/2*b**6. Factor o(z).
z*(3*z + 2)*(5*z - 2)**2/5
Let w = 4/125 + 238/375. Suppose -w*r**3 - 8/3*r + 0 + 8/3*r**2 = 0. Calculate r.
0, 2
Suppose -8/5*v**3 + 2*v**2 + 2/5*v**4 - 4/5*v + 0 = 0. What is v?
0, 1, 2
Let b be 2/(-4) + 65/10. Let s = 8 - b. Factor 2/3 + 2/3*d**5 + 4/3*d**2 - s*d + 4/3*d**3 - 2*d**4.
2*(d - 1)**4*(d + 1)/3
Let k(o) = -o**2 - 7*o - 4. Let u be k(-6). Let b be 8*(2/4 + 0). Factor 4*s**b + 3*s**u - s**2 - 4*s**3 - 2*s**4.
2*s**2*(s - 1)**2
Suppose -30 = -6*z + z. Factor -2*v**3 - 4 - 6*v**2 - z*v - 3 + 0*v**3 + 5.
-2*(v + 1)**3
Let n = 4 + 1. Suppose -19 - 6 = -n*h. Let -h*a**3 + 2*a**3 + 2*a + a**3 = 0. What is a?
-1, 0, 1
Let t(w) be the second derivative of -3*w**5/50 + w**4/20 + w**3/5 - 3*w**2/10 - 2*w. Suppose t(g) = 0. What is g?
-1, 1/2, 1
What is n in -1/7*n**2 - 3/7*n**3 + 2/7*n + 0 = 0?
-1, 0, 2/3
Let f = 47/33 + -12/11. Let u = 6/17 + 16/51. Find x such that -1/3 - f*x**2 - u*x = 0.
-1
Let p(r) = -r**2 + 6*r + 2. Let v be -10*(-1)/(10/6). Let x be p(v). Factor 1 + x*j**3 - 2*j + 4 - 5.
2*j*(j - 1)*(j + 1)
Let b(y) = 6*y**5 - 6*y**4 - y**3 + 6*y**2 - 5*y - 5. Let x(k) = k**5 - k**4 + k**2 - k - 1. Let q(n) = -b(n) + 5*x(n). Factor q(r).
-r**2*(r - 1)**2*(r + 1)
Let j(r) = -r**2 + 6*r - 5. Let p be j(4). Suppose 1 + 2 + 57*k**3 + 5*k + k**2 - 58*k**p = 0. What is k?
-1, 3
Factor 4/11*w**3 + 0 + 2/11*w**5 + 0*w + 0*w**2 + 6/11*w**4.
2*w**3*(w + 1)*(w + 2)/11
Factor 5 - 6 + 4*p**4 - 2*p**3 + 10*p**3 - 3 - 8*p.
4*(p - 1)*(p + 1)**3
Suppose 2*m - 4*m = 4*y - 8, y + 3 = -3*m. Factor -2/7 + 24/7*n**y + 12/7*n - 8/7*n**4 - 26/7*n**2.
-2*(n - 1)**2*(2*n - 1)**2/7
Let u(f) be the third derivative of -f**7/1785 - f**6/1020 + f**5/510 + f**4/204 + 9*f**2. Find p, given that u(p) = 0.
-1, 0, 1
Let c(r) be the second derivative of -5*r**7/42 - r**6/6 + r**5/2 + 5*r**4/6 - 5*r**3/6 - 5*r**2/2 + 16*r. Let c(f) = 0. What is f?
-1, 1
Let r = 125/808 + -3/101. Let a(y) be the third derivative of -4*y**2 - 3/5*y**4 - 2/5*y**3 - r*y**6 + 0 + 0*y - 9/20*y**5. Factor a(o).
-3*(o + 1)*(5*o + 2)**2/5
Factor -27/4*j**2 - 9*j - 3.
-3*(3*j + 2)**2/4
Let q be ((-4)/10)/(121/(-55) + 2). Let u(i) = -i**3 - 4*i**2 - 4*i - 3. Let m be u(-3). Suppose -11/3*l**3 + m - 2/3*l**q + 0*l = 0. Calculate l.
-2/11, 0
Let j(q) be the first derivative of -q**7/1260 + q**6/180 - q**5/90 - 2*q**3/3 + 2. Let m(r) be the third derivative of j(r). Let m(i) = 0. Calculate i.
0, 1, 2
Factor -2/7*k - 3/7*k**2 - 1/7*k**3 + 0.
-k*(k + 1)*(k + 2)/7
Let y = -56 + 80. Let j be (-3)/(-1 - 57/y). Factor j*d + 0 + 10/9*d**3 + 16/9*d**2 + 2/9*d**4.
2*d*(d + 1)*(d + 2)**2/9
Let l(h) be the second derivative of -h**3/6 + 17*h**2/2 + h. Let r be l(15). Factor 4/5 + 6/5*g + 2/5*g**r.
2*(g + 1)*(g + 2)/5
Determine y, given that 2*y + 1/4*y**3 - 1 - 5/4*y**2 = 0.
1, 2
Let g(r) be the third derivative of 0 + 1/90*r**5 + 1/12*r**4 + 0*r + 3*r**2 + 2/9*r**3. Solve g(y) = 0.
-2, -1
Let a(b) be the second derivative of -b**3/3 - 4*b**2 + 3*b. Let c be a(-4). Determine o so that 2/5*o**2 + c + 2/5*o = 0.
-1, 0
Let h be 4/(-12) + (-3084)/(-45). Let a = h + -68. Factor 2/5 + a*i**2 + 3/5*i.
(i + 1)*(i + 2)/5
Let y(u) be the third derivative of -1/6*u**4 + 0 + 0*u - 1/60*u**6 + 3*u**2 + 1/10*u**5 + 0*u**3. Factor y(h).
-2*h*(h - 2)*(h - 1)
Let s(n) = n**3 + n. Let c(w) = -6*w**3 - 9*w**2 - 3*w. Let m(g) = -c(g) - 9*s(g). Factor m(h).
-3*h*(h - 2)*(h - 1)
Suppose -2 = 2*b + 4*r + 14, -r = 5. Find i such that