 -37. Suppose -2*g + n = 2*g. Let a(r) = g*t(r) + o(r). Let a(j) = 0. Calculate j.
-1, 0, 1
Let a = 87 - 87. Factor 0*p**2 + 0*p + a - 1/3*p**4 + 1/3*p**3.
-p**3*(p - 1)/3
Suppose -9 = j - 4*j + 2*d, 3*j + 5*d = -12. Factor f**3 + 1 - j.
f**3
Let s(r) be the second derivative of r**5/5 - r**4 + 4*r**3/3 - 7*r. Determine k, given that s(k) = 0.
0, 1, 2
Let y(p) be the third derivative of -p**6/2 + 32*p**5/15 - 19*p**4/6 + 4*p**3/3 + 15*p**2. Factor y(w).
-4*(w - 1)**2*(15*w - 2)
Let h = 3 + 2. Suppose 1 = h*k - 9. Factor -3*v**3 - v**3 + k*v**3.
-2*v**3
Let i(w) = w**3 + w - 1. Let r be i(1). Let t be r + 1*(0 + 0). What is c in -c**2 + c**2 + t + c**2 + 2*c = 0?
-1
Find v such that v**5 - v**2 + 2*v**3 - 7*v**4 + 8*v**4 - 3*v**3 = 0.
-1, 0, 1
Suppose 13 = -3*a - 5. Let t = a + 9. Solve 0*x**3 + 5*x - 2 - 4*x**2 + 3*x**t - 2*x**3 = 0 for x.
1, 2
Suppose 4 - 7 = -n. Factor -n*l**4 - 4*l**3 - l + 5*l - l**4 + 4*l**2.
-4*l*(l - 1)*(l + 1)**2
Suppose 4 = 4*f - 2*f. Let t be (1 - f) + 5 - 0. Factor -8*g**t + 2*g + 4*g**3 + 2*g**5 + 8*g**3 - 3*g + 3*g - 8*g**2.
2*g*(g - 1)**4
Suppose 6*j - 22 + 4 = 0. Let r(s) be the second derivative of -2/27*s**3 + 0 - j*s + 1/9*s**2 + 1/54*s**4. Find o, given that r(o) = 0.
1
Solve -11*g**2 - 1331/3 + 1/3*g**3 + 121*g = 0.
11
Factor 9/5 - 9/5*g**3 - 39/5*g + 39/5*g**2.
-3*(g - 3)*(g - 1)*(3*g - 1)/5
Suppose -3*x + 1 = 7. Let z = x - -6. Let 2/9 + 8/9*k**z - 10/9*k**2 + 2/3*k**3 - 2/3*k = 0. What is k?
-1, 1/4, 1
Let z(d) be the second derivative of -d**7/315 - d**6/180 + d**5/90 + d**4/36 + 3*d**2/2 - 2*d. Let b(q) be the first derivative of z(q). Factor b(u).
-2*u*(u - 1)*(u + 1)**2/3
Let m = 4 + -2. Let v be (4/(-1))/(-10 - 4). Suppose 0 + v*y**4 - 6/7*y**3 - 2/7*y**m + 6/7*y**5 + 0*y = 0. What is y?
-1, -1/3, 0, 1
Let h(y) be the third derivative of -y**6/240 + y**5/30 - y**4/12 - 9*y**2. Factor h(a).
-a*(a - 2)**2/2
Factor 5*x**4 + 232*x - 232*x - 5*x**3.
5*x**3*(x - 1)
Find p, given that -2*p**4 + 4*p**2 + 11*p**2 + 4*p**4 - 10*p + 2*p**3 - 4 - 21*p**2 = 0.
-1, 2
Let s be (-2)/(((-3)/(-2))/(-3)). Suppose 0 = -7*u + 3*u + s*f + 16, -4*f = 2*u + 16. Suppose u*a + 1/2*a**2 + 0 = 0. Calculate a.
0
Let 0*t - 1/6 + 1/6*t**2 = 0. Calculate t.
-1, 1
Let c(m) = 2*m**2 - 4. Let a(p) = p - 1. Let z(y) = -4*a(y) + c(y). Factor z(q).
2*q*(q - 2)
Let z(h) be the second derivative of 1/60*h**5 + 0 + 0*h**3 + 0*h**2 - 2*h - 1/36*h**4. Factor z(v).
v**2*(v - 1)/3
Suppose -3*b - 2*s + 8 = -4*s, 5*s = 25. Suppose 0*t = -2*h + t + 10, t = 3*h - 13. Factor h*p**2 + 2*p**4 + 2*p**5 - b*p**2 + p**2 - 2*p**3.
2*p**2*(p - 1)*(p + 1)**2
Let x be (2/12)/(1/4). Let d(t) be the second derivative of 11/9*t**3 + 8/15*t**5 + 2*t - x*t**2 + 0 - 4/45*t**6 - 7/6*t**4. Let d(l) = 0. Calculate l.
1/2, 1, 2
Determine p so that 4/9*p + 0 - 2/9*p**2 = 0.
0, 2
Let b(l) be the second derivative of l**6/150 + 7*l**5/100 + l**4/10 + 2*l + 5. Factor b(m).
m**2*(m + 1)*(m + 6)/5
Let i(v) = -v**5 - v**4 + v**3 - v - 1. Let n(x) = 3*x**5 + 15*x**4 - 15*x**3 + 3*x**2 + 6*x + 6. Let b(k) = -6*i(k) - n(k). Factor b(z).
3*z**2*(z - 1)**3
Suppose -2*u + 2 + 2 = 0. Let c be -1 - (-10)/(1*2). Suppose 0*d**2 - d**u - d**4 + 2*d**c = 0. What is d?
-1, 0, 1
Let w(b) be the second derivative of -b**8/336 + b**7/315 - 5*b**4/12 - 7*b. Let o(f) be the third derivative of w(f). Factor o(q).
-4*q**2*(5*q - 2)
What is k in 1/3 + 1/3*k**5 + 5/3*k + 5/3*k**4 + 10/3*k**3 + 10/3*k**2 = 0?
-1
Let b = -57/8 + 29/4. Let v(y) be the first derivative of -1 + b*y**2 + 1/12*y**3 + 0*y. Determine l so that v(l) = 0.
-1, 0
Let k = -54 + 54. Let q(u) be the first derivative of 1/10*u**2 - 1/10*u**4 + 1 + k*u**5 + 0*u + 1/30*u**6 + 0*u**3. Find m such that q(m) = 0.
-1, 0, 1
Let y(u) be the second derivative of u**7/2520 - u**6/1800 + u**4/12 + 3*u. Let k(d) be the third derivative of y(d). Find g, given that k(g) = 0.
0, 2/5
Let k be 24/4 + 3*-1. Let t(o) = o + 6. Let x be t(-6). Factor 1/2*u**5 - 1/2*u**2 + 1/2*u**4 + 0 + x*u - 1/2*u**k.
u**2*(u - 1)*(u + 1)**2/2
Solve 9*c**2 + 3*c**2 + 19*c**3 - 16*c - 23*c**3 + 8*c**3 = 0 for c.
-4, 0, 1
What is o in -15/2*o - 25/4 - 5/4*o**2 = 0?
-5, -1
Let j(w) be the second derivative of -w**5/150 - w**4/90 - 9*w. Find u such that j(u) = 0.
-1, 0
Let 1/7*z**2 - 2/7*z + 0 = 0. Calculate z.
0, 2
Suppose -t = -z + 1 + 3, 4*z = 3*t + 12. Let d be t/(-1*2) - -1. Factor -4 - 8*m**2 - 3*m**d - 10*m + m**3 + 0.
-2*(m + 1)**2*(m + 2)
Let h(p) = -8*p**2 - 4*p + 4. Let z(a) = a**2 - 1. Let o(n) = -h(n) - 4*z(n). Factor o(k).
4*k*(k + 1)
Let i(b) be the second derivative of 0 - 9/14*b**2 + 8*b - 3/14*b**4 + 11/14*b**3. Factor i(o).
-3*(2*o - 3)*(3*o - 1)/7
Let i(g) = 3*g**4 + 6*g**3 - 9*g**2 - 15. Let l(u) = u**3 - u**2 - 1. Let h(j) = -i(j) + 15*l(j). Factor h(b).
-3*b**2*(b - 2)*(b - 1)
Suppose 6*l = 8*l - 5*a + 19, -2*l - 2*a = -16. Factor 0 - 2*w**2 - 2*w**l - 2/3*w - 2/3*w**4.
-2*w*(w + 1)**3/3
Let w(r) = -19*r**4 - r**3 - 5*r**2 - 5. Let p(y) = -9*y**4 - 2*y**2 - 2. Let a(d) = 15*p(d) - 6*w(d). Factor a(s).
-3*s**3*(7*s - 2)
Let z(w) = 17*w**2 + 7*w - 1. Let q(j) = 4*j**2 + 2*j. Suppose -l + 9 = -3*d, 3*d = d + 2*l - 2. Let v(c) = d*z(c) + 18*q(c). Factor v(t).
4*(t + 1)**2
Suppose -7*b = -5*b. Factor -7/2*s**3 + 4*s**4 + 0*s + s**2 + b - 3/2*s**5.
-s**2*(s - 1)**2*(3*s - 2)/2
Let n be 5/3 + 3/9. What is p in 6*p**2 + 10*p**n + 67*p**3 + 98*p**5 + 252*p**4 + 53*p**3 = 0?
-2, -2/7, 0
Let b be 5 - (-1 + 4 - 1). Suppose -5*q + 33 = 4*x, -b*x = 2*x + 4*q - 30. Factor 5 - x*a**2 - 5.
-2*a**2
Let g(a) be the second derivative of 10*a - 5/6*a**4 - 2/3*a**3 - 3/10*a**5 + 0 + 0*a**2 + 1/21*a**7 + 1/15*a**6. Factor g(w).
2*w*(w - 2)*(w + 1)**3
Let n(x) = x**5 + x**4 + 2*x**3 - 4*x**2 - 3*x + 1. Let c(t) = -9*t**5 - 8*t**4 - 16*t**3 + 33*t**2 + 25*t - 8. Let s(j) = 6*c(j) + 51*n(j). Factor s(w).
-3*(w - 1)**3*(w + 1)**2
Suppose h**2 + 1/3*h**4 + 0 + 4/3*h**3 + 0*h = 0. Calculate h.
-3, -1, 0
Let h(g) be the third derivative of -g**8/840 - g**7/175 - g**6/100 - g**5/150 + 9*g**2. Factor h(t).
-2*t**2*(t + 1)**3/5
Suppose -3*r**2 - 54*r - 2*r**3 + 3 - 57 - 15*r**2 = 0. Calculate r.
-3
Let j(p) = p**3 - 11*p**2 - 13*p + 12. Let x be j(12). Suppose -3*u - 3 = n - 12, -5*n = x. Solve 0 + 0*t + 4/5*t**u - 2/5*t**2 - 2/5*t**4 = 0.
0, 1
Suppose 0 + 2/3*k - 10/9*k**2 - 4/9*k**3 = 0. Calculate k.
-3, 0, 1/2
Let g(j) be the second derivative of j**6/360 + j**5/360 - 2*j**3/3 - 4*j. Let t(l) be the second derivative of g(l). Factor t(f).
f*(3*f + 1)/3
Let v(h) = 4*h + 14. Let d be v(10). Factor 54 + l**3 + 2*l - d + 3*l**2.
l*(l + 1)*(l + 2)
Let p be (-20)/3 + (-2)/(-3). Let a(b) = -5*b**3 + b**2 + 8*b + 2. Let l(t) = 9*t**3 - t**2 - 16*t - 3. Let m(x) = p*l(x) - 11*a(x). Factor m(c).
(c - 2)**2*(c - 1)
Find h, given that 0 + 3/2*h**2 - 9*h = 0.
0, 6
Let f(i) be the third derivative of i**8/1344 + i**7/1680 - i**5/60 + i**2. Let z(g) be the third derivative of f(g). Suppose z(d) = 0. Calculate d.
-1/5, 0
Let w(z) be the first derivative of -1/4*z**4 + 5/2*z**2 + 6 + 1/3*z**3 + 3*z. Let w(p) = 0. What is p?
-1, 3
Let k = -66 + 66. What is d in k + 1/2*d**3 + 0*d - d**2 - 1/2*d**5 + d**4 = 0?
-1, 0, 1, 2
Let n be ((-12)/18)/((-1)/(-12)). Let m = n + 10. Factor 0*k + 0 + 1/4*k**m.
k**2/4
Let x(t) = -2*t**3 - 8*t**2 + 13*t + 3. Let m(p) = 3*p**3 + 16*p**2 - 27*p - 5. Let i(a) = 3*m(a) + 5*x(a). Determine s, given that i(s) = 0.
0, 4
Let g(w) be the first derivative of -w**4/4 + w**3/3 + w + 1. Let b(p) = p**5 - p**4 + p**3 - p**2 - 2. Let f(n) = -b(n) - 2*g(n). Find o such that f(o) = 0.
-1, 0, 1
Let z(q) be the first derivative of 4*q**3/9 - 4*q**2/3 + 4*q/3 + 35. Factor z(o).
4*(o - 1)**2/3
Let w = -13 + 15. Factor -2*b - 24 + 3*b**w - b + 24.
3*b*(b - 1)
Let o be -1 + (0/3 - -3). Suppose -x - 8 = o*p, -4*x + 3*p - p + 18 = 0. Suppose 1/4*f + 0 + f**x = 0. Calculate f.
-1/4, 0
Suppose 2*s + 8 = 6*s. Factor 16 - 16*a**s - 10*a**2 + 14*a**2 + 4*a**3.
4*(a - 2)**2*(a + 1)
Suppose -4 = -4*m + 2*m. Suppose -9*t**3 + 4*t**4 - t + 0*t + 2*t**m + 4*t**2 = 0. What is t?
0, 1/4, 1
Let w(g) be the third derivative of g**6/1980 - g**5/330 + g**4/132 + g**3/3 - g**2. Let u(c) be the first derivative of w(c). Let u(d) = 0. What is d?
1
Let n(m) be the first derivative of 0*m**2 + 0*m -