)**2
Let 2*u + 9*u**2 - 6 - 7*u + 8*u = 0. What is u?
-1, 2/3
Let c be (-1)/8*(-4 - 2). Let v be ((-5)/(-15))/((-16)/(-12)). Find q such that c*q**2 + 0 + 1/2*q**3 + v*q = 0.
-1, -1/2, 0
Let a(l) be the first derivative of 161/9*l**3 + 4/3*l + 22/3*l**2 + 49/3*l**4 - 3. What is x in a(x) = 0?
-2/7, -1/4
Let t(v) be the second derivative of -v**5/4 - v**4 - 2*v**3/3 + 4*v. Factor t(o).
-o*(o + 2)*(5*o + 2)
Let q(n) be the second derivative of -1/27*n**3 + 5*n + 1/90*n**5 + 1/9*n**2 + 0 - 1/54*n**4. Factor q(z).
2*(z - 1)**2*(z + 1)/9
Let l(d) = -245*d**3 + 590*d**2 + 405*d + 65. Let o(y) = y**2 - y - 1. Let x(b) = -l(b) - 5*o(b). Factor x(g).
5*(g - 3)*(7*g + 2)**2
Let y(v) be the first derivative of 2*v**3 - v**2 - 4*v + 3. Let o(a) = -2*a**2 + a + 1. Let n(w) = -8*o(w) - 3*y(w). Let n(k) = 0. What is k?
-2, 1
Let r(u) be the first derivative of 2*u**6/3 - 4*u**5/5 - 3*u**4 + 20*u**3/3 - 4*u**2 - 2. What is c in r(c) = 0?
-2, 0, 1
Find f, given that 7*f**2 + 9*f - f**2 + 0 - f + 2 = 0.
-1, -1/3
Let a(q) be the third derivative of 0*q**4 + 0*q + 0*q**5 - 2*q**2 - 1/315*q**7 + 0*q**6 + 0*q**3 + 1/504*q**8 + 0. Factor a(r).
2*r**4*(r - 1)/3
Let a(n) be the third derivative of n**7/945 - n**6/270 - n**5/270 + n**4/54 + 17*n**2. Factor a(d).
2*d*(d - 2)*(d - 1)*(d + 1)/9
Factor -5*u**4 + 2*u**4 + 7*u**4 - 4*u**2 + 0*u**2 + 4*u**3 - 4*u**5.
-4*u**2*(u - 1)**2*(u + 1)
Let l(r) be the first derivative of -2*r**3/21 + r**2/7 - 3. Suppose l(g) = 0. Calculate g.
0, 1
Let i(h) be the second derivative of h**4/6 - 4*h**3/3 + 4*h**2 + 2*h. Factor i(n).
2*(n - 2)**2
Let a be 9/54 + (4/(-6))/(-2). Factor 1/2 - 1/4*b + 1/4*b**3 - a*b**2.
(b - 2)*(b - 1)*(b + 1)/4
Let q be ((2/4)/((-4)/(-16)))/4. Factor -x**2 + 0 + q*x**3 + 1/2*x.
x*(x - 1)**2/2
Let m(b) be the third derivative of b**6/480 + b**5/120 - 3*b**2. Determine z, given that m(z) = 0.
-2, 0
Let j be (-4)/1*4/(-8). Solve 6*l**3 - l**3 - j*l**3 - 2*l**2 - 2*l**3 = 0.
0, 2
Let o(v) be the first derivative of -12*v**5/5 + 3*v**4/4 + 1. Determine j so that o(j) = 0.
0, 1/4
Let z(v) be the third derivative of -v**7/420 + v**5/60 - v**3/12 + 10*v**2. Factor z(k).
-(k - 1)**2*(k + 1)**2/2
Factor 8*w**4 - 60*w**3 + 175*w**2 - 92 - 88 - 3*w**4 - 25*w + 85*w.
5*(w - 6)**2*(w - 1)*(w + 1)
Let a(f) be the third derivative of f**7/210 - 7*f**6/360 + f**5/36 - f**4/72 + 16*f**2. Solve a(p) = 0.
0, 1/3, 1
Let m(l) be the first derivative of -3 + 0*l + 1/8*l**2 - 1/12*l**3. Suppose m(r) = 0. What is r?
0, 1
Let w(b) = 27*b**4 - 36*b**3 + 33*b + 15. Let d(p) = -7*p**4 + 9*p**3 - 8*p - 4. Let z(u) = -15*d(u) - 4*w(u). Let z(i) = 0. What is i?
-1, 0, 2
Suppose 121/3 + 22/3*q + 1/3*q**2 = 0. Calculate q.
-11
Let f = 34/9 - 22/9. Let k = 886/3 - 293. Factor f*o**3 - 1/3 + k*o**2 + 2/3*o.
(o + 1)**2*(4*o - 1)/3
Let x(g) = -2*g**2 + 17*g - 10. Let t(b) = 6*b**2 - 52*b + 30. Let w(a) = -5*t(a) - 16*x(a). Factor w(k).
2*(k - 5)*(k - 1)
Let k be ((-5)/(1425/30))/(2/(-6)). Solve 4/19 - 2/19*g**3 + 0*g**2 + k*g = 0 for g.
-1, 2
Let x(i) be the first derivative of 5*i**6/14 - 9*i**5/35 - 15*i**4/14 + 6*i**3/7 + 15*i**2/14 - 9*i/7 + 14. Determine m so that x(m) = 0.
-1, 3/5, 1
Let g = -2/1277 - -3835/2554. Suppose -1/2*w**5 - 1/2*w**2 + g*w**3 + 0 + 1/2*w**4 - w = 0. What is w?
-1, 0, 1, 2
Let h(s) be the second derivative of 0*s**2 - 1/40*s**5 + 1/24*s**4 + 0 + 0*s**3 - s. Factor h(o).
-o**2*(o - 1)/2
Let n(x) be the second derivative of x**5/30 - 14*x. Suppose n(f) = 0. Calculate f.
0
Let z be 2*12/16*2. Let j be 6/1*1/z. Suppose 0*r + 0 + 6/11*r**3 - 2/11*r**4 - 4/11*r**j = 0. Calculate r.
0, 1, 2
Factor -4*u - u**3 - 2*u**2 + 0*u + 6*u**2.
-u*(u - 2)**2
Factor -10*a + 2*a**5 - 10*a**4 + 4 + 4*a**2 + 2*a**4 + 8*a**3 + 0*a**5.
2*(a - 2)*(a - 1)**3*(a + 1)
Suppose 5*x - 24 = 16. Determine n, given that -x + 8 - 2*n - n**2 = 0.
-2, 0
Let -3/4*h**2 + 3/2*h - 3/4 = 0. What is h?
1
Let o(s) be the second derivative of s**5/4 + 5*s**4/6 - 5*s**3/2 - 11*s. Suppose o(w) = 0. What is w?
-3, 0, 1
Let t = -12 - -14. Let i be 0/(2 + 0/1). Find u such that u**t - 3*u**2 + i*u**2 - 2*u = 0.
-1, 0
Let v(m) be the second derivative of m**6/15 + m**5/10 - m**4/2 - 5*m**3/3 - 2*m**2 + 14*m. Factor v(u).
2*(u - 2)*(u + 1)**3
Let i(l) be the first derivative of -1/15*l**3 + 2 + 0*l**4 + l**2 + 1/150*l**5 + 0*l. Let v(b) be the second derivative of i(b). Factor v(h).
2*(h - 1)*(h + 1)/5
Let v(y) = 6*y - 4. Let h be v(3). Suppose 3*x + 7 = -3*b - x, 2*b - 2*x = h. Find o, given that 2/3 - 2/3*o**2 - 2/3*o + 2/3*o**b = 0.
-1, 1
Determine n so that 21*n**5 + 15*n**4 - 16*n**5 - n + n = 0.
-3, 0
Let k = 8 + 1. Factor 17 + 11*p - k*p**2 - 5 + p.
-3*(p - 2)*(3*p + 2)
Suppose -1 = -2*f + 2*c - 5, -c = -2*f. Determine m, given that -6 - 3*m**2 + 6 + m + f*m = 0.
0, 1
Let y(n) = -n + 1. Let f(j) = -5*j + 15. Let l(w) = f(w) - 4*y(w). Let z be l(9). Find a, given that -15*a**2 - z*a**4 + a + 21*a**3 - 7*a**4 + 2*a = 0.
0, 1/3, 1
Let q(b) = -4*b**2 - 2*b - 3. Suppose -l + 2*l - 15 = -2*v, -4*l + 5 = -3*v. Let x(u) = -3*u**2 - 2*u - 3. Let k(t) = l*x(t) - 4*q(t). Let k(a) = 0. What is a?
-1, 3
Let d be (-4 + 3 + 27/33)/(-1). Let d*k**3 - 2/11*k**4 + 0 + 2/11*k**2 - 2/11*k = 0. What is k?
-1, 0, 1
Factor -27/2*g**2 - g**4 - 2 - 25/4*g**3 - 11*g.
-(g + 2)**3*(4*g + 1)/4
Let h**5 - 13*h**3 + 5*h**3 + 6*h**3 + 4*h - 3*h**3 = 0. What is h?
-2, -1, 0, 1, 2
Suppose 0 = -3*j - 2*j, 2*s = -j + 4. Suppose q = 1 + 2, 3*a - 27 = -5*q. Factor 2/3 - 4/3*d**s + 0*d**3 + 0*d + 2/3*d**a.
2*(d - 1)**2*(d + 1)**2/3
Suppose -2*r + 166 = v, -4*r = -3*v - 215 - 97. Let n = 407/5 - r. Determine a, given that n*a**2 + 2/5*a + 0 = 0.
-1, 0
Let u(j) be the first derivative of j**6/8 - j**5/2 + j**4/4 + 2*j**3/3 + 25. Factor u(w).
w**2*(w - 2)**2*(3*w + 2)/4
Suppose 5*j - 35 = 5*q, -4*j + 2*q = -6*j - 6. Let -1/3*h + 0 - 1/3*h**j = 0. Calculate h.
-1, 0
Let y(c) be the first derivative of 9/2*c**2 + 4 + 3/5*c**5 - 9/4*c**4 - 6*c + c**3. Solve y(f) = 0.
-1, 1, 2
Solve 0 - 2/3*t**3 - 1/3*t**4 + 0*t - 1/3*t**2 = 0.
-1, 0
Let 4/5 + 6/5*l + 2/5*l**2 = 0. What is l?
-2, -1
Let n(j) be the second derivative of 27/2*j**2 - j - 3*j**3 + 1/4*j**4 + 0. Factor n(f).
3*(f - 3)**2
Let -8/15*u**3 + 2/5*u**2 - 8/15 + 2/15*u**4 + 8/15*u = 0. Calculate u.
-1, 1, 2
Let g = 34 - 30. Let x(i) be the first derivative of 4/3*i**3 + 1/2*i**g + i**2 - 2 + 0*i. Let x(r) = 0. Calculate r.
-1, 0
Factor 2*z**2 + 3*z**2 - 4*z**2 - 3*z**2 + 2*z.
-2*z*(z - 1)
Suppose 3 + 17 = 4*r. Suppose -15 = -7*y + 4*y + r*a, 4*y + 15 = -5*a. Suppose y + 0*t**3 - 2/5*t - 4/5*t**4 + 2/5*t**5 + 4/5*t**2 = 0. What is t?
-1, 0, 1
Let a(z) be the first derivative of 98*z**3/9 - 28*z**2 + 24*z - 1. Factor a(k).
2*(7*k - 6)**2/3
Let f be (-44)/12 - 1/3. Let q be f/(-14) - 36/(-21). Determine v so that -4*v - 4*v**3 + 10*v**2 - 2*v**3 + 0*v**q = 0.
0, 2/3, 1
Let q(d) be the third derivative of -d**8/16800 - d**7/3150 - d**4/12 + 3*d**2. Let t(n) be the second derivative of q(n). Factor t(k).
-2*k**2*(k + 2)/5
Let v(k) be the third derivative of 1/20*k**5 + 4*k**2 + 0*k + 2*k**3 + 1/2*k**4 + 0. Factor v(m).
3*(m + 2)**2
Let g(p) = -p - 5. Let k be g(-9). Let b(w) = -5*w**2 + 4*w + 4. Let i(m) = -6*m**2 + 5*m + 5. Let o(x) = k*i(x) - 5*b(x). Find f, given that o(f) = 0.
0
Suppose 2*h - 4*u + 15 = 7*h, 4*u = 5*h - 15. Suppose h - 13 = -2*r. Factor -2*d - 3*d**2 - 3*d**2 + 7*d**3 + 8*d**2 - r*d**3 - 2.
2*(d - 1)*(d + 1)**2
Suppose 0 = -4*d - 8, 3*o + 2*d - 7 = d. Let j = 3 + o. Find i such that -i**5 - i - 4*i**3 + 0*i**3 + j*i**3 = 0.
-1, 0, 1
Determine m so that -3 + 10*m - 15*m**2 + 47*m**2 - 18*m**2 + 2*m**3 - 23*m**2 = 0.
1/2, 1, 3
Let a(c) be the first derivative of 0*c + 2/9*c**3 + 0*c**5 + 0*c**2 - 1/18*c**6 + 1/4*c**4 + 6. Solve a(k) = 0.
-1, 0, 2
Let i be ((-8)/(-6))/((-4)/(-6)). Factor w**2 + w**3 + w**i - 3*w**3.
-2*w**2*(w - 1)
Let t(g) be the first derivative of g**3/12 - g**2/2 + g + 5. Factor t(x).
(x - 2)**2/4
Let j be 0 - (-6)/(-8)*-2. Suppose -3*t - 4*t = -0*t. Factor -3/4*z**4 + t + 0*z - 3/4*z**2 - j*z**3.
-3*z**2*(z + 1)**2/4
Suppose 7*t + 20*t = 3*t. Factor t + 8/3*x**3 + 4/3*x**4 + 4/3*x**2 + 0*x.
4*x**2*(x + 1)**2/3
Let y(l) be the second derivative of -3*l**5/140 + l**3/2 - 9*l**2/7 + 14*l. Factor y(p).
-3*(p - 2)*(