*(s + 1)**2
Suppose -3 = -n + 2. Suppose n*w - 9 - 6 = 0. Factor -8 - 126*j**2 + 23*j - 17*j + 54*j + 49*j**w.
(j - 2)*(7*j - 2)**2
Determine s, given that -3/5*s**2 - 12/5*s - 12/5 = 0.
-2
Let p(f) be the second derivative of f**6/90 + f**5/10 + 2*f**4/9 - f**3/3 - 3*f**2/2 - 7*f. Factor p(o).
(o - 1)*(o + 1)*(o + 3)**2/3
Let d = -17 - -16. Let v be 4/1 + (d - -1). Factor -2/5*q + 4/5*q**2 - 2/5 - 2/5*q**5 + 4/5*q**3 - 2/5*q**v.
-2*(q - 1)**2*(q + 1)**3/5
Suppose -2*r = 2*r + k, -r + 5*k = -21. Let y(b) = 5*b**2 - b. Let g be y(r). Suppose 0*u + 0*u**2 - 1/2*u**3 - 7/4*u**5 + 9/4*u**g + 0 = 0. What is u?
0, 2/7, 1
Let w = -359 + 361. Factor -4/5*m**3 + 2/5*m**w + 0*m + 0 + 2/5*m**4.
2*m**2*(m - 1)**2/5
Let p(l) be the second derivative of -l**7/5040 + l**6/480 - l**5/120 - l**4/12 - l. Let t(m) be the third derivative of p(m). Determine z, given that t(z) = 0.
1, 2
Suppose 0*t = -3*t + 2*v - 27, 0 = 5*t + 4*v + 45. Let x = 9 + t. Determine o so that -8/5*o**2 + x - 162/5*o**4 + 72/5*o**3 + 0*o = 0.
0, 2/9
Let g be 12/8 + (8 - 8). Factor -g - n - 1/6*n**2.
-(n + 3)**2/6
Let k(g) be the third derivative of g**8/784 - 9*g**7/490 + 4*g**6/35 - 2*g**5/5 + 6*g**4/7 - 8*g**3/7 - 28*g**2. Determine v, given that k(v) = 0.
1, 2
Let i = 629/11 + -57. Suppose i*l**2 - 2/11*l**3 + 2/11*l - 2/11 = 0. Calculate l.
-1, 1
Factor -i + 4*i**3 - 2*i**3 - 2*i**2 - i + i**4 + i**2.
i*(i - 1)*(i + 1)*(i + 2)
Let l(b) be the third derivative of 2/135*b**5 - 2/945*b**7 + 0 + 2*b**2 + 1/1512*b**8 + 0*b - 1/270*b**6 + 1/108*b**4 - 2/27*b**3. Solve l(n) = 0.
-1, 1, 2
Let t be 2/5 - 88/(-55). Suppose 5 = 5*z + 3*o - 0, -z + 14 = -t*o. Find x, given that -2*x**3 - 2*x**3 - 3*x + 2 - z + 5*x**3 = 0.
-1, 2
Let h(q) be the first derivative of 2*q**3/3 + 11*q**2 + 11. Find x such that h(x) = 0.
-11, 0
Factor -9 + 1/9*w**3 + 17/9*w**2 + 7*w.
(w - 1)*(w + 9)**2/9
Let p(a) be the first derivative of -a**5/45 - 5*a**4/72 - a**3/18 - a**2/2 + 3. Let t(g) be the second derivative of p(g). Factor t(b).
-(b + 1)*(4*b + 1)/3
Let f be (42/112)/((-1)/(-8)). Let v be (2 + 0)/1 + 0. Factor -y**4 + y**2 + y**3 - v*y**2 + 2*y**f - 2*y**2 + y.
-y*(y - 1)**3
Let a be (153/10)/(2/16). Let b = -122 + a. Determine l, given that -2/5*l**4 + b*l**2 + 1/5*l**5 - 1/5*l + 0 + 0*l**3 = 0.
-1, 0, 1
Let u = -25 + 30. Let s(j) be the second derivative of -1/105*j**7 + 0*j**2 - 2/15*j**4 - 4/75*j**6 - 1/15*j**3 - 3/25*j**u + j + 0. Factor s(c).
-2*c*(c + 1)**4/5
Suppose 8 = 3*v + v. Let r be 2/(2/1) + 3. Find t, given that -1/2*t**r - 1/2 - 2*t - v*t**3 - 3*t**2 = 0.
-1
Let w(t) be the third derivative of 0*t**4 - 6*t**2 + 0*t**5 + 0*t**3 - 1/120*t**6 + 0 + 0*t. Factor w(s).
-s**3
Let h(w) be the second derivative of -w**7/27 - w**6/27 + w**5/3 + 10*w**4/27 - 8*w**3/27 + 2*w + 6. Solve h(m) = 0 for m.
-2, -1, 0, 2/7, 2
Let k be (-8 + -1 - -13) + -4*1. Factor 3/7*i**4 + 0 + 9/7*i**2 - 12/7*i**3 + k*i.
3*i**2*(i - 3)*(i - 1)/7
Suppose 0 = -18*r + 25*r. What is h in 0 + r*h**3 - 1/4*h**2 + 0*h + 1/4*h**4 = 0?
-1, 0, 1
Let t(o) be the first derivative of -o**9/15120 + o**7/4200 + o**3/3 - 3. Let q(d) be the third derivative of t(d). Let q(m) = 0. What is m?
-1, 0, 1
Suppose -9/8*v + 3/4 - 3/4*v**2 = 0. What is v?
-2, 1/2
Let q(r) = 13*r**4 - 29*r**3 + 19*r**2 - 8*r. Let b(a) = -20*a**4 + 44*a**3 - 28*a**2 + 12*a. Let v(y) = 5*b(y) + 8*q(y). Find x, given that v(x) = 0.
0, 1
Let v(q) be the third derivative of 0*q**3 + 0*q - 1/12*q**4 - 1/30*q**5 + 2*q**2 + 0. Factor v(p).
-2*p*(p + 1)
Let g(n) be the second derivative of 0*n**4 + 1/80*n**5 + 1/120*n**6 + 4*n + 0*n**2 + 0 + 0*n**3. Factor g(y).
y**3*(y + 1)/4
Let v = -9 + 10. Let p(a) = 3*a**3 - a. Let h be p(v). Let -9*w - 12*w**h - 2 + 0 + 5 = 0. What is w?
-1, 1/4
Let 0*o**2 - 1/5*o**5 + 0*o**4 + 0 + 2/5*o**3 - 1/5*o = 0. Calculate o.
-1, 0, 1
Let c = 4 + -1. Let v(a) = -a**2 + 3*a + 3. Let m be v(c). Find x such that 1/2*x - 3/2*x**m + 1 - 2*x**2 = 0.
-1, 2/3
Let w(h) = -h**2 + 12*h + 2. Let u be w(12). Let j(a) be the first derivative of 1/3*a**6 + 0*a + 3*a**4 - u - 8/3*a**3 + a**2 - 8/5*a**5. Factor j(q).
2*q*(q - 1)**4
Suppose -3*f = -6*f + 15. Suppose -f*c = -7*c. Factor c + 2/3*l - 10/3*l**2.
-2*l*(5*l - 1)/3
Let 16/9*i**2 + 2/9*i**4 - 8/9*i - 10/9*i**3 + 0 = 0. Calculate i.
0, 1, 2
Determine i so that -2/3*i**2 - 4 - 10/3*i = 0.
-3, -2
Let m(n) be the first derivative of 0*n**2 + 3/8*n**4 + 3/10*n**5 - 2 + 0*n**3 + 0*n. Factor m(f).
3*f**3*(f + 1)/2
Let z(y) be the first derivative of y**4/4 + 7*y**3/3 - 4*y**2 + 3. Let m be z(-8). What is t in 1/2*t**4 - 1/2*t**2 + m*t**3 + 0 + 1/4*t - 1/4*t**5 = 0?
-1, 0, 1
Let y(h) = -8*h**3 + 136*h**2 + 324*h - 1000. Let f(x) = -x**3 + 15*x**2 + 36*x - 111. Let k(o) = 28*f(o) - 3*y(o). Factor k(z).
-4*(z - 3)**2*(z + 3)
Let c(p) be the first derivative of -p**7/735 - p**6/210 - p**5/210 - 2*p**2 + 6. Let b(v) be the second derivative of c(v). Factor b(j).
-2*j**2*(j + 1)**2/7
Let z be (-2 - 6*(-2)/3)/9. Factor 0 + 0*k + 0*k**2 - z*k**4 + 0*k**3.
-2*k**4/9
Let i be (10/15)/(-3 - 58/(-18)). Let w(y) be the first derivative of -1/3*y**2 - 1/6*y**4 + i - 4/9*y**3 + 0*y. Factor w(s).
-2*s*(s + 1)**2/3
Factor 16 - 24 + 3*w**2 + 14 - 9*w.
3*(w - 2)*(w - 1)
Suppose 2*v + z = 4, 5*v + z + 2 = 6. Let o(j) be the third derivative of 3*j**2 + 1/60*j**6 + v + 2/3*j**3 - 1/4*j**4 + 0*j + 0*j**5. Let o(f) = 0. What is f?
-2, 1
Let t(p) be the second derivative of -p**6/360 + p**5/60 + p**3/6 - 3*p. Let n(u) be the second derivative of t(u). Find w such that n(w) = 0.
0, 2
Let d(k) be the third derivative of 1/300*k**6 + 2/15*k**3 + 0*k**5 - k**2 + 0 + 0*k - 1/20*k**4. Factor d(g).
2*(g - 1)**2*(g + 2)/5
Suppose -5*q - 2*w = 11, 4*q - 5*w = 2*q + 13. Let h be q - (60/(-25) - -1). Factor 2/5*v**2 - 2/5 - h*v**3 + 2/5*v.
-2*(v - 1)**2*(v + 1)/5
Let h(w) = w**3 - 8*w**2 - 9*w + 2. Let d be h(9). What is l in 7*l**2 - 6*l - 3*l**2 - d*l**2 = 0?
0, 3
Let q be 10 + -11 - (2 - 5). Let f(r) be the first derivative of -8/5*r**q - 14/5*r**3 + 3 + 8/5*r. Suppose f(j) = 0. What is j?
-2/3, 2/7
Let k = 8/145 - -2828/1305. Let w = 22/9 - k. Factor 0 + 4/9*u**2 + 0*u - w*u**3.
-2*u**2*(u - 2)/9
Suppose -4*j = -10*j. Let k(p) be the second derivative of 2*p - 1/12*p**3 + j*p**2 - 1/24*p**4 + 0. Suppose k(h) = 0. Calculate h.
-1, 0
Let y = 2 - 1. Suppose -13 = -4*g - y. Factor 2 + g*j + 0*j + 0*j**3 - j**3.
-(j - 2)*(j + 1)**2
What is l in 4/3*l + 2/3 + 2/3*l**2 = 0?
-1
Let b(r) be the third derivative of -r**6/150 - r**5/75 + 5*r**2. Factor b(l).
-4*l**2*(l + 1)/5
Let n(m) = -m**3 - m. Let h(s) = -7*s**3 - 10*s**2 - 21*s - 8. Let i(j) = h(j) - 5*n(j). Determine w so that i(w) = 0.
-2, -1
Let f(v) = v**2 - v - 4. Let n(y) = 3. Let z be 60/16 - 6/8. Let g(l) = z*f(l) + 4*n(l). Factor g(o).
3*o*(o - 1)
Let n(a) be the first derivative of a**7/4200 - a**6/900 + a**5/600 - 2*a**3/3 - 3. Let l(o) be the third derivative of n(o). Factor l(p).
p*(p - 1)**2/5
Let n be (-12)/(-7) - (-10)/35. Let g(c) = -c**3 + 6*c**2 + c - 3. Let d(v) = v**3 - 5*v**2 + 2. Let r(x) = n*g(x) + 3*d(x). Let r(q) = 0. Calculate q.
0, 1, 2
Let q(z) be the third derivative of z**8/252 - z**6/45 + z**4/18 - 14*z**2. Factor q(y).
4*y*(y - 1)**2*(y + 1)**2/3
Let u(g) be the second derivative of 0 + 21/20*g**5 + 0*g**2 - 4/5*g**6 + 3/14*g**7 - 1/2*g**4 + 0*g**3 - 3*g. Determine d, given that u(d) = 0.
0, 2/3, 1
Let u(m) = -2*m**2 - 4*m + 2. Let i(z) = -6*z**2 + 2 - 7*z + 2*z**2 + 2. Let q(y) = 4*i(y) - 7*u(y). Find g, given that q(g) = 0.
-1, 1
Let x(p) be the first derivative of -p**8/336 - p**7/105 - p**6/120 - 3*p**2/2 + 3. Let n(z) be the second derivative of x(z). Factor n(q).
-q**3*(q + 1)**2
Let x(g) be the second derivative of -g**5/15 + g**4/9 + 2*g**3/9 - 2*g**2/3 - 10*g. Determine s so that x(s) = 0.
-1, 1
Let p = -36 - -41. Let j(i) be the third derivative of 1/30*i**p - 1/12*i**4 + 0 + 0*i**3 + 0*i + i**2. Suppose j(z) = 0. What is z?
0, 1
Let i = 71/3 - 23. Let d(n) be the first derivative of n**2 - 1 + i*n**3 + 0*n. What is c in d(c) = 0?
-1, 0
Factor 1/5*n**2 + 0 + 0*n.
n**2/5
Suppose -2*y + 4*y + 54 = 0. Let p be ((-3)/y)/(2/12). Factor -p*r**4 + 4/3*r**2 + 0*r**3 + 0*r - 2/3.
-2*(r - 1)**2*(r + 1)**2/3
Factor -2/25*w**2 + 6/25*w - 4/25.
-2*(w - 2)*(w - 1)/2