
-2, 0
Let h = 56 + -28. Let z be 8/(-14)*h/(-20). Determine o so that -14/5*o**5 + 8/5*o**2 - 14/5*o - 4/5 - z*o**4 + 28/5*o**3 = 0.
-1, -2/7, 1
Suppose -3*s + s**3 + 3*s - s = 0. What is s?
-1, 0, 1
Let g be 23/15 - (-2 + 40/15). Let r(q) be the first derivative of -3 - 6/5*q**2 + 4/5*q + 1/25*q**5 - 3/10*q**4 + g*q**3. Factor r(h).
(h - 2)**2*(h - 1)**2/5
Let v be -1 - -6*(-4)/(-8). Factor 3*s**3 + 2 - s**3 - 2 - 2*s**v.
2*s**2*(s - 1)
Suppose 2*d = 4*f + 396, 0*d - 3*d + 194 = -2*f. Let w be (-2)/f*5*8. Factor 0*g**3 + 0 + w*g**4 - 4/5*g**2 - 2/5*g + 2/5*g**5.
2*g*(g - 1)*(g + 1)**3/5
Let v(z) = 0*z**2 + z**2 - z**3 + z + 0 + 1. Let a be v(-1). Let 2*d + 2*d**a - 2*d**3 - 8*d + 4*d**2 + 2 = 0. Calculate d.
1
Let h(p) be the second derivative of p**8/224 - p**7/140 - p**6/40 + 4*p**2 - 6*p. Let v(q) be the first derivative of h(q). Determine m so that v(m) = 0.
-1, 0, 2
Suppose -b + 10 = -8. Solve b*f**2 - 37*f**2 + 21*f**2 - 2*f = 0.
0, 1
Let q(y) = 5*y**3 + 27*y**2 + 17*y - 47. Let z(k) = 15*k**3 + 82*k**2 + 52*k - 142. Let w(u) = -7*q(u) + 2*z(u). Factor w(b).
-5*(b - 1)*(b + 3)**2
Let d(w) be the second derivative of -w**6/70 + w**4/14 - 3*w**2/14 + 15*w. Factor d(q).
-3*(q - 1)**2*(q + 1)**2/7
Let d(j) = 4*j**4 + 16*j**3 + 18*j**2 + 2*j + 2. Let o(y) = -y**2 - y - 1. Let f(q) = -d(q) - 2*o(q). Factor f(p).
-4*p**2*(p + 2)**2
Let s(x) = x + 11. Let l be s(-9). Factor 4*c**2 - c**3 + 5*c**3 - 4*c**3 + l + 5*c + c**3.
(c + 1)**2*(c + 2)
Let g(b) = b**3 + 7*b**2. Let i(w) = 8*w**2. Let q(p) = -4*g(p) + 3*i(p). Factor q(r).
-4*r**2*(r + 1)
Let b be (-19)/(-4) - 1/(-4). Let h(y) be the third derivative of 0*y**b - y**2 - 1/180*y**6 + 1/36*y**4 + 0*y + 0 + 0*y**3. Factor h(m).
-2*m*(m - 1)*(m + 1)/3
Let o(a) be the first derivative of -8/21*a**3 + 1 + 0*a - 1/14*a**4 - 4/7*a**2. Factor o(k).
-2*k*(k + 2)**2/7
Let j(f) = f**2 + 8*f. Let p(l) = -l**2 - 7*l. Let k(i) = -4*j(i) - 5*p(i). What is o in k(o) = 0?
-3, 0
Suppose -2*h = -3*j - 19, -2*h + 7*j = 3*j - 22. Factor 5/2*o**4 + 1/2*o**5 + 5/2*o + h*o**3 + 5*o**2 + 1/2.
(o + 1)**5/2
Let f be (-2)/3 - 527/(-714). Let d(u) be the first derivative of 2/35*u**5 + 1/7*u**2 + 2 - 2/21*u**3 - f*u**4 + 0*u. Factor d(s).
2*s*(s - 1)**2*(s + 1)/7
Let x be (-184)/(-252) + (-2)/7. Factor 0 + x*b - 2/9*b**2.
-2*b*(b - 2)/9
Suppose -26*z + 8 = -24*z. Let l(d) be the first derivative of -2/5*d**5 + 2 - 4/3*d**2 + 8/9*d + 10/27*d**3 + 2/3*d**z. Determine b, given that l(b) = 0.
-1, 2/3, 1
Let y = -23/18 - -16/9. Factor 3/2*x**2 - 3/2*x - y*x**3 + 1/2.
-(x - 1)**3/2
Let q(w) = -9*w**2 + 7. Let t(r) = -2*r**2 - r**2 + 7 - 2*r**2 - 3. Let k(u) = -4*q(u) + 7*t(u). Solve k(h) = 0 for h.
0
Let l(p) be the second derivative of 1/80*p**5 + 0 + 1/24*p**4 + 0*p**3 + 0*p**2 - 5*p. Factor l(h).
h**2*(h + 2)/4
Let r(k) = -k**2 + 7*k - 6. Let a be r(6). Let d(y) be the third derivative of 1/84*y**4 + y**2 + 0 + 1/210*y**5 + 0*y**3 + a*y. Factor d(t).
2*t*(t + 1)/7
Let w(y) be the first derivative of -3*y**4/50 - 8*y**3/75 + 4*y**2/25 - 17. Factor w(n).
-2*n*(n + 2)*(3*n - 2)/25
Let f be (220/(-176))/(10/(-4)). Let 1/2*u**4 - f + u + 0*u**2 - u**3 = 0. What is u?
-1, 1
Let z(d) be the first derivative of d**3 - 5/12*d**4 - 7/6*d**2 + 1/15*d**5 + 2/3*d - 3. Determine s, given that z(s) = 0.
1, 2
Determine l so that -4/3 - 2/3*l + 2/3*l**2 = 0.
-1, 2
Let t(c) = -c**3 + 4*c**2 + 2*c - 5. Let w be t(4). Let m(j) be the first derivative of 0*j**2 - 1/6*j**w - 1 + 1/2*j. Determine s so that m(s) = 0.
-1, 1
Let h(z) = -3. Let v(a) = -4*a**2 - 8*a + 31. Let l(i) = -3*i**2 - 7*i + 30. Let g(y) = -5*l(y) + 4*v(y). Let r(o) = -3*g(o) + 24*h(o). Factor r(n).
3*(n - 2)*(n - 1)
Let u(t) = -t. Let m(h) = -3*h**3 + 15*h**2 - 14*h. Let i(z) = -m(z) - 4*u(z). Find b, given that i(b) = 0.
0, 2, 3
Let m(j) be the third derivative of j**7/420 - j**6/240 - j**5/120 + j**4/48 - 7*j**2. Factor m(d).
d*(d - 1)**2*(d + 1)/2
Let w(p) = p**3 - 6*p**2 + 5*p - 3. Let b be w(4). Let r be 3/b - (-1 + 0). Factor -16*l**2 - r + 6*l + 20*l**3 + 14/5*l**5 - 12*l**4.
2*(l - 1)**4*(7*l - 2)/5
Let v(s) be the second derivative of 49*s**5/60 - 7*s**4/12 - 4*s**3/3 - 2*s**2/3 + 7*s. Let v(a) = 0. Calculate a.
-2/7, 1
Let k(f) = -2*f - 10. Let c be k(-5). Let o(y) be the third derivative of -1/210*y**6 + 0 + 0*y**4 + c*y + 1/210*y**5 - y**2 + 1/735*y**7 + 0*y**3. Factor o(l).
2*l**2*(l - 1)**2/7
Suppose -9*y = -5*y. Suppose 7*s - 2*s - 10 = y. Find n, given that 1/3*n**s + 4/3 + 4/3*n = 0.
-2
Let x be -3 - (-1 + 4 + -16). Let k be (-4)/x - (-4)/5. Determine p, given that 4/5*p + 2/5 + k*p**2 = 0.
-1
Let s(n) be the first derivative of -4*n - 3 - 2/3*n**3 - 3*n**2. What is f in s(f) = 0?
-2, -1
Let x(s) be the third derivative of s**7/840 + s**6/60 + 11*s**5/120 + s**4/4 + 3*s**3/8 - 20*s**2. Factor x(n).
(n + 1)**2*(n + 3)**2/4
Let g = 0 - -2. Factor -12*z - 25 + 3*z + 7 - 2*z**g - 3*z.
-2*(z + 3)**2
What is h in -1/2*h**2 - 1/2*h + 1/2*h**4 + 0 + 1/2*h**3 = 0?
-1, 0, 1
Suppose -3*w + 10 = 5*v - 9, -5*v + 15 = 5*w. What is q in -15/4*q + 3*q**3 + 3/4*q**v + 3/2 + 3/2*q**2 - 3*q**4 = 0?
-1, 1, 2
Let l(v) be the third derivative of -5*v**2 + 1/12*v**3 + 1/240*v**5 + 0 + 1/32*v**4 + 0*v. Let l(r) = 0. What is r?
-2, -1
Let t(r) = -2 + 5*r**2 - 2*r**2 + 2. Let f be t(1). Find x such that -1 + 5*x**2 + 3*x + x**f - 11*x**2 + 3*x**2 = 0.
1
Let r(z) be the first derivative of -z**4/18 + 2*z**3/27 + 4*z**2/9 - 8*z/9 - 5. Factor r(c).
-2*(c - 2)*(c - 1)*(c + 2)/9
Suppose 2 = 2*z, -2*g + 3*z - 1 = -4. Let w be 91/56 - (-9)/24. Solve 3*o**3 + 0*o**g + 0*o**3 - 3*o + o**w + o**4 - 2 = 0 for o.
-2, -1, 1
Suppose q + 2*i = 4*i - 4, 4 = 4*q + 2*i. Let c(f) be the third derivative of 0 + 0*f + 1/48*f**4 - f**2 + q*f**3 + 0*f**5 - 1/240*f**6. What is h in c(h) = 0?
-1, 0, 1
Let t = 16 - 14. Suppose 0 = -2*l + 10, -2*r + 4*l - 7 = 9. Factor 2*u**t - u**2 + r - 2.
u**2
Let g(z) = 20*z**2 + 60*z - 16. Let a(m) = 7*m**2 + 20*m - 6. Let v(j) = -8*a(j) + 3*g(j). Factor v(p).
4*p*(p + 5)
Let w(u) be the third derivative of u**7/140 - 3*u**6/80 + 3*u**5/40 - u**4/16 - 6*u**2. Factor w(a).
3*a*(a - 1)**3/2
Let l = 17 - 17. What is u in 0*u**2 + 2/5*u**5 + 2/5*u**3 + l + 4/5*u**4 + 0*u = 0?
-1, 0
Find w such that 0 - 1/5*w**2 + 1/5*w = 0.
0, 1
Let i(y) be the second derivative of 3*y - 1/10*y**3 + 1/5*y**2 + 0 + 1/60*y**4. Factor i(u).
(u - 2)*(u - 1)/5
Let t be (-2)/(-5) + (-326)/(-10). Let b = 67/2 - t. Factor 0 + 0*m + 0*m**3 - b*m**4 + 0*m**2.
-m**4/2
Determine d, given that 6*d**2 + 4*d + 5*d**2 + d**2 - 10*d**2 = 0.
-2, 0
Let j = -1 - -1. Determine a, given that 2*a**5 + a**3 + j*a**5 - 3*a**5 = 0.
-1, 0, 1
Suppose 18 = 11*p - 8*p. Find m, given that 0*m**2 + 6*m**2 + 2 - 9*m - 9*m**4 + p*m**3 + 3*m**5 + 1 = 0.
-1, 1
Let t be (9 - 3) + -3 + 0. Solve -k**5 + t*k**3 + 2*k**4 - 3*k**3 + 2*k**5 + k**3 = 0.
-1, 0
Let m(f) be the second derivative of f + 0*f**4 + 0*f**3 + 3/2*f**2 - 1/30*f**5 + 0. Let p(j) be the first derivative of m(j). Factor p(x).
-2*x**2
Let c be (-1 - 5)/(2 - 4). Determine i so that -2*i**5 + 4*i**c - 2*i**4 - 2*i**2 - 4 + 4 - 2*i + 3*i**4 + 1 = 0.
-1, 1/2, 1
Let b(z) be the first derivative of 2*z**4/15 + 8*z**3/15 + 3*z**2/5 + 4*z/15 + 12. Let b(y) = 0. Calculate y.
-2, -1/2
Find t such that 0 - 108*t + 328*t + 990*t**3 - 405*t**4 - 20 - 785*t**2 = 0.
2/9, 1
Let h be (4/(3 - 1))/((-4)/(-6)). Let w(u) be the first derivative of 1/3*u**3 + u**2 - h + u. Determine t so that w(t) = 0.
-1
Let r(j) = -j - 3. Let w be r(-5). Suppose 11*n = 9*n. Factor n + 2/7*z + 2/7*z**w.
2*z*(z + 1)/7
Let v(s) be the second derivative of -s**6/70 + 9*s**5/140 - 3*s**4/28 + s**3/14 + 5*s. Factor v(k).
-3*k*(k - 1)**3/7
Suppose 3*z - 1 = 2*i + 5, 2*i = 0. Let a be 2/(20/2)*z. Factor -a - 2/5*r**2 - 4/5*r.
-2*(r + 1)**2/5
Suppose -5*a - 8 = -8. Find s, given that -4/5*s**4 + 0*s + 0*s**2 + 2/5*s**5 + a + 2/5*s**3 = 0.
0, 1
Let k(v) be the second derivative of -11/5*v**6 - 8*v**4 + 0 - 5/14*v**7 + v - 57/10*v**5 - 3*v**2 - 13/2*v**3. Factor k(r).
-3*(r + 1)**4*(5*r + 2)
Let l(k) be the second derivative of k**7/105 - 8*k**6/75 + 11*k**5/25 - 4*k**4/5 + 3*k**3/5 - 16*k. Solve l(x) = 0.
0, 1, 3
Suppose 12/7*y - 3/7*y**2 - 9/7 = 0. What is y?
1, 3
Let c(q) be the second derivative of -q**4/