a, given that 36*a**3 - 66*a**2 - o + 48*a - 27/4*a**4 = 0.
2/3, 2
Let b = 24 - -8. Let 52*z**2 + 4*z**3 + 18*z - 54*z**5 + 2 + b*z**3 - 1 + 1 - 54*z**4 = 0. Calculate z.
-1, -1/3, 1
Suppose 2/3*g + 0 + g**2 = 0. Calculate g.
-2/3, 0
Suppose 1/3*g**3 - 7/3*g**2 + 16/3*g - 4 = 0. What is g?
2, 3
Let z be (-4)/(-6)*(6 + -3). Let w be (-2)/4*(2 - z). Factor w*c**2 - 1/4*c**3 + 0*c + 0.
-c**3/4
Factor 0 + 0*x + 392/5*x**2 + 12/5*x**5 + 140*x**3 + 176/5*x**4.
4*x**2*(x + 7)**2*(3*x + 2)/5
Let t(y) = 8*y**2 - 14*y + 26. Let u(i) = -i**2 - 1. Let r(m) = t(m) + 6*u(m). Solve r(h) = 0 for h.
2, 5
Let p = 797/5 - 159. Factor 2/5*h**2 - 2/5*h + p*h**3 - 2/5.
2*(h - 1)*(h + 1)**2/5
Determine k so that -8/11 + 30/11*k**2 - 8/11*k**3 - 24/11*k = 0.
-1/4, 2
Let b(l) be the third derivative of l**11/1330560 - l**10/604800 - l**9/120960 - l**5/20 + 2*l**2. Let k(u) be the third derivative of b(u). Factor k(i).
i**3*(i - 2)*(i + 1)/4
Let y(w) be the first derivative of 2*w**3/39 + 2*w**2/13 + 4. Let y(s) = 0. What is s?
-2, 0
Let h(r) be the first derivative of r**8/112 + 3*r**7/70 + 3*r**6/40 + r**5/20 + 3*r**2 + 2. Let z(b) be the second derivative of h(b). Factor z(s).
3*s**2*(s + 1)**3
Let o(x) be the second derivative of -x**9/15120 - x**8/3360 + x**4/6 + 2*x. Let i(c) be the third derivative of o(c). Suppose i(u) = 0. Calculate u.
-2, 0
Let i = 28 + -83/3. Let n(g) = g**3 + 5*g**2 - 7*g - 6. Let d be n(-6). Determine h, given that 0*h**2 + i*h + d - 1/3*h**3 = 0.
-1, 0, 1
Let h(n) = -20*n**5 - 43*n**4 - 41*n**3 - 8*n**2. Let s(k) = -15*k**5 + 12*k**4 - 20*k**3 - 4*k**2 + 5*k**5 - 34*k**4. Let r(x) = -2*h(x) + 5*s(x). Factor r(a).
-2*a**2*(a + 1)**2*(5*a + 2)
Let j(c) be the third derivative of c**7/105 - c**6/180 - c**5/45 - 14*c**2. Factor j(a).
2*a**2*(a - 1)*(3*a + 2)/3
Let j(b) = -53*b**2 + 10*b - 5. Let v(u) = 54*u**2 - 9*u + 6. Let m(n) = 5*j(n) + 4*v(n). Factor m(h).
-(7*h - 1)**2
Let d be 2/8 - 21/(-12). Factor 2*j**2 - j + 2*j**d - j - 2*j**3.
-2*j*(j - 1)**2
Let v = 363 - 361. What is s in -3/2*s**4 + 0 - 15/2*s**v - 6*s**3 - 3*s = 0?
-2, -1, 0
Suppose 0*a - 3*a + 45 = 3*g, -2*g + 2*a + 14 = 0. Let y be 10/(-35) + g/14. Factor -y*u**2 + 0 + 1/4*u**3 + 0*u + 1/4*u**4.
u**2*(u - 1)*(u + 2)/4
Let h(t) be the second derivative of t**8/336 + t**7/105 - t**2 + t. Let o(a) be the first derivative of h(a). Factor o(j).
j**4*(j + 2)
Let t(b) be the third derivative of -b**8/112 + b**7/35 + b**6/20 - 2*b**5/5 + 7*b**4/8 - b**3 + 5*b**2. Factor t(s).
-3*(s - 1)**4*(s + 2)
Let g(d) be the third derivative of d**5/140 - d**4/56 - d**3/7 - 2*d**2 + 8*d. Find f, given that g(f) = 0.
-1, 2
Let h(w) be the first derivative of w**5/15 + w**4/12 - w**3/9 - w**2/6 - 7. Factor h(z).
z*(z - 1)*(z + 1)**2/3
Let w be (3*6)/(-3)*1. Let x be w/8*-4 + 1. Let 4*d**3 + d**4 + 2*d**2 - 5*d**3 + 2*d**x - 4*d**3 = 0. Calculate d.
0, 2/3, 1
Let q = 1219/54 - 45/2. Let o(d) be the first derivative of 0*d**2 + 1 - q*d**3 + 2/9*d. Factor o(x).
-2*(x - 1)*(x + 1)/9
Factor -6*f - 4*f**2 - 4*f**2 + 13 + 5*f**2 - 16.
-3*(f + 1)**2
Let n = -34 - 2. Let k be (4/(-6))/(n/27). Factor 0*y**3 + 1/4*y + k*y**2 - 1/4*y**5 - 1/2*y**4 + 0.
-y*(y - 1)*(y + 1)**3/4
Let h(q) be the first derivative of q**3/2 + 3*q**2/4 + 3. Factor h(u).
3*u*(u + 1)/2
Suppose -3*x + 31 = 10. Let b be ((-4)/7)/((-10)/x). Let 0 - b*q**2 - 2/5*q = 0. Calculate q.
-1, 0
Factor z**3 + 0 + 1/2*z - 1/4*z**4 - 5/4*z**2.
-z*(z - 2)*(z - 1)**2/4
Let z(q) be the first derivative of -3/11*q**2 + 4/11*q + 3/22*q**4 - 1 - 4/33*q**3. Suppose z(s) = 0. What is s?
-1, 2/3, 1
Factor h**2 - 2 + h**3 - 6 + 12*h - 7*h**2.
(h - 2)**3
Let r = -1/129 - -139/1290. Let k(q) be the first derivative of 1/15*q**3 + r*q**2 + 0*q - 2. Determine c, given that k(c) = 0.
-1, 0
Suppose -g = 3*g - 16. Suppose g*p - 2*p = 0. Determine n so that -2/11*n**4 + 0*n**3 + 2/11*n**2 + p*n + 0 = 0.
-1, 0, 1
Let m(w) = 2*w - 6. Let a be m(4). Suppose -108 = -5*p + a*p. Factor 17*t**4 + 8*t - p*t**2 + 90*t**3 - 12*t**2 - 67*t**4.
-2*t*(t - 1)*(5*t - 2)**2
Let m(o) = -11*o**2 + 11. Let n = 2 - 7. Let b(w) = 6*w**2 - 6. Let c(p) = n*b(p) - 3*m(p). Determine j so that c(j) = 0.
-1, 1
Let p = 1766/9 - 196. Let m(o) be the second derivative of 2*o - 11/18*o**4 + 1/3*o**2 + 0 + 4/5*o**6 - 2/5*o**5 + p*o**3. Factor m(w).
2*(2*w - 1)**2*(3*w + 1)**2/3
Factor 20/7*o - 4/7*o**2 - 16/7.
-4*(o - 4)*(o - 1)/7
Let g(o) be the third derivative of -o**6/40 - o**5/20 + o**4/4 - o**2 - 4. Factor g(i).
-3*i*(i - 1)*(i + 2)
Let b(f) be the third derivative of f**8/4200 + f**7/700 + f**6/450 + 5*f**3/6 + 4*f**2. Let k(v) be the first derivative of b(v). Solve k(t) = 0.
-2, -1, 0
Let w be 2/4*(-3)/(-21)*0. Find h such that w*h**4 + 1/4*h**5 - 1/2*h**3 + 1/4*h + 0 + 0*h**2 = 0.
-1, 0, 1
Suppose u - 3*j = j + 9, -2*u = 4*j - 6. Suppose u*f - q - 10 = -2, 4*f = 4*q. Determine t so that t**2 + 2*t + 4*t**2 - 3*t**2 - 5 + 3 - f*t**3 = 0.
-1, 1
What is d in -2/13*d**2 + 6/13*d - 6/13*d**3 + 2/13*d**4 + 0 = 0?
-1, 0, 1, 3
Factor -32*s**2 + 257 + 12*s**3 - 21*s - 233 + s.
4*(s - 3)*(s + 1)*(3*s - 2)
Let g be ((-21)/12)/(45/(-60)). Find u, given that 0 - 2/3*u - g*u**2 = 0.
-2/7, 0
Let s(t) be the third derivative of -t**5/480 + t**4/96 - 9*t**2. Factor s(l).
-l*(l - 2)/8
Let o(r) = -r**2 - 4*r - 3. Let x be o(-2). Let j(d) be the first derivative of 1/4*d**2 + 0*d - 1/16*d**4 - x + 1/12*d**3. Factor j(u).
-u*(u - 2)*(u + 1)/4
Factor -3*d - 2*d + 20*d**2 + 268 - 268.
5*d*(4*d - 1)
Let k(y) be the second derivative of -y**6/35 - 13*y**5/70 - y**4/3 + 4*y**3/21 + 8*y**2/7 + 12*y. Suppose k(h) = 0. Calculate h.
-2, -1, 2/3
Suppose -31 + 2*p**2 + 160 - 57 + 24*p = 0. What is p?
-6
Suppose -4*h + 3*p - 2*p = -13, 19 = 2*h - 3*p. Let u(r) be the first derivative of -1/6*r**3 - 1 - h*r - r**2. Determine x so that u(x) = 0.
-2
Let b(m) be the second derivative of m**6/180 - m**5/60 + 2*m**3/3 + 2*m. Let w(k) be the second derivative of b(k). Solve w(a) = 0.
0, 1
Let z = 7 - 4. Factor -11 + 24*c**2 - 9*c**z - 12*c - 17 + 28.
-3*c*(c - 2)*(3*c - 2)
Let b be ((-75)/7)/(-3) - 18/(-42). Let y(k) be the second derivative of k**3 + 0 - 3/2*k**2 - b*k - 1/4*k**4. Suppose y(r) = 0. Calculate r.
1
Let q(z) be the first derivative of z**4/8 - 13*z**2/4 - 6*z + 60. Find l, given that q(l) = 0.
-3, -1, 4
Suppose -5*r + 1 = -7*y + 4*y, -2*y + 2 = -2*r. Let u = 5 - r. Find o such that 2/7*o**4 + 0*o + 4/7*o**u + 2/7*o**2 + 0 = 0.
-1, 0
Let w(l) be the first derivative of 0*l**4 + 0*l + 8 + 2/11*l**3 - 2/55*l**5 + 2/11*l**2. Factor w(j).
-2*j*(j - 2)*(j + 1)**2/11
Let v(n) be the second derivative of 0*n**2 + 0 + 1/6*n**4 + 0*n**3 + 4*n - 1/15*n**6 + 0*n**5. What is u in v(u) = 0?
-1, 0, 1
Suppose -14/3*f**3 + 46/3*f**2 + 8/3 - 40/3*f = 0. What is f?
2/7, 1, 2
Let k(l) be the second derivative of 1/9*l**3 - 1/45*l**6 - 1/30*l**5 + 0*l**2 - 4*l + 0 + 1/18*l**4. Find u such that k(u) = 0.
-1, 0, 1
Let d(z) be the second derivative of z**5/10 + z**4/6 - z**3/3 - z**2 + 2*z. Factor d(y).
2*(y - 1)*(y + 1)**2
Let g = 49 + -49. Let v(o) be the third derivative of g*o**4 + 0 + 1/945*o**7 + 1/27*o**3 + 0*o + 0*o**6 - 1/135*o**5 + 3*o**2. Factor v(b).
2*(b - 1)**2*(b + 1)**2/9
Suppose -1 = j - 5, -56 = -4*n - 5*j. Find l such that -6 + n*l - 3*l**3 - 2*l**2 + 2*l**2 + 0*l**3 = 0.
-2, 1
Let k(d) be the third derivative of -d**6/40 + d**4/8 - 7*d**2. Determine l so that k(l) = 0.
-1, 0, 1
Let d(r) be the third derivative of 1/330*r**5 + 0*r**3 + 0*r - 3*r**2 + 0*r**4 + 0. Factor d(j).
2*j**2/11
Let z be (-19)/(-7) + 6/21. Let f(d) be the third derivative of 0*d + 1/30*d**5 + 0 - 1/3*d**z + 1/60*d**6 + 2*d**2 - 1/12*d**4. Factor f(y).
2*(y - 1)*(y + 1)**2
Let v(d) be the first derivative of -3*d**2 - 3*d**2 - 4*d**3 + 7 - 2*d + 10*d**2 + 6*d. What is t in v(t) = 0?
-1/3, 1
Let p = 4 + 12. Factor -40*q**4 - 11*q**3 - 10*q**2 + p*q**5 + 22*q**3 + 30*q**3 + q - 8*q**3.
q*(q - 1)**2*(4*q - 1)**2
Solve -9/5*u + 3/5*u**5 + 0 - 24/5*u**2 + 0*u**4 - 18/5*u**3 = 0.
-1, 0, 3
Let r(b) be the second derivative of -b**4/28 + 3*b**3/7 - 27*b**2/14 + 14*b. Determine j, given that r(j) = 0.
3
Let j = -448 - -448. What is d in 2/3*d - 4/3*d**2 + 2/3*d**3 + j = 0?
0, 1
Solve 41 + 16*s**2 - 82 + 6*s + 37 + 6*s**3 = 0.
-2, -1, 1/3
Let v(m) b