q**c + 2/3*q - 4/9 = 0 for q.
-2, 1
Let a(x) = -x**2 + 4. Let b(p) = p**2 - p - 4. Let y(u) = 4*a(u) + 3*b(u). Factor y(m).
-(m - 1)*(m + 4)
Let h(d) = 2*d - d**3 - 2*d**2 - 3*d + 2*d + 4 - 2. Let g be h(-2). What is m in -1/3 + 1/3*m**2 + g*m = 0?
-1, 1
Let x(u) = -4*u**4 - 48*u**3 - 264*u**2 - 196*u - 12. Let b(c) = c**3 - c**2 - 1. Let z(g) = 12*b(g) - x(g). Factor z(l).
4*l*(l + 1)*(l + 7)**2
Let 10/3*c**2 - 2*c**5 + 0 + 38/3*c**3 - 8/3*c + 14/3*c**4 = 0. Calculate c.
-1, 0, 1/3, 4
Let z(l) be the first derivative of l**3/9 - 14*l**2/3 + 196*l/3 - 38. Factor z(p).
(p - 14)**2/3
Let d = 424 - 406. Factor d*o + 81/2*o**2 + 2.
(9*o + 2)**2/2
Let r = 15 + -9. Let n be 2/r*(5 - -10). What is c in 0*c**2 + 0 + 0*c + 0*c**3 + 0*c**4 + 1/4*c**n = 0?
0
Let k(v) = -6*v**2 - 10*v - 2. Let p(y) = 31*y**2 + 49*y + 11. Let o(t) = 11*k(t) + 2*p(t). Factor o(s).
-4*s*(s + 3)
Let r be ((-3)/3 - -1)/1. Let h be 42/147*42/10. What is s in -4/5*s**4 + 2/5*s - 8/5*s**3 + h*s**5 + r + 4/5*s**2 = 0?
-1, -1/3, 0, 1
Let i(t) be the second derivative of 5*t + 0*t**2 - t**3 + 1/10*t**6 + 0 - 3/4*t**4 + 0*t**5. Let i(x) = 0. What is x?
-1, 0, 2
Let f = 809/1218 + 1/406. Factor -4/3*p**2 + f*p + 2/3*p**3 + 0.
2*p*(p - 1)**2/3
Find i such that -1/3*i**2 - 1/3*i + 0 = 0.
-1, 0
Let z(u) be the third derivative of -u**5/120 + 7*u**2. Factor z(x).
-x**2/2
Let m(k) = -k**3 - 3*k**2 - k - 1. Let t be m(-3). Let n be (t + 1)*6/9. Factor 3*b**2 - b**n - 1 - 1.
2*(b - 1)*(b + 1)
Let b(y) be the second derivative of 32*y**6/5 + 36*y**5/5 + 3*y**4 + y**3/2 + y. Solve b(g) = 0.
-1/4, 0
Let f(v) = 4*v**5 - 2*v**4 - 4*v**2 + 8*v + 6. Let q(g) = g**4 - g - g**5 - 1 + 3*g**3 - 3*g**3. Let h = -1 + 0. Let r(a) = h*f(a) - 6*q(a). Factor r(d).
2*d*(d - 1)**3*(d + 1)
Let d(s) = -s + 8. Let b be d(8). Suppose b*c - 2*c + 4 = 0. Let 0 + 32/7*n**3 + 4/7*n - 22/7*n**2 - c*n**4 = 0. What is n?
0, 2/7, 1
Let p be (-15)/90 - (1 - (-38)/(-12)). Let -1/2*v + 0 - 1/2*v**3 + v**p = 0. Calculate v.
0, 1
Factor -8/7*h + 2/7*h**5 + 8/7*h**4 + 2/7*h**3 - 20/7*h**2 + 16/7.
2*(h - 1)**2*(h + 2)**3/7
Let s(f) be the first derivative of f**4/8 + f**3/2 + f**2/2 - 6. Suppose s(q) = 0. Calculate q.
-2, -1, 0
Let x(m) = 8*m + 1 + 8*m**2 + 5*m - 2*m**3 + 7*m**3. Let g be 1*6*9/6. Let j(u) = -u**3 - 2*u**2 - 3*u. Let r(z) = g*j(z) + 2*x(z). Solve r(s) = 0 for s.
-1, 1, 2
Suppose -2*b = -4*y + 4, 0 = -2*y - 0*y - b + 6. Let v be (9 - (-840)/(-88))*(-1)/3. Let 0*i + 0 - 4/11*i**y + v*i**3 = 0. Calculate i.
0, 2
Let s(c) = c**3 + 5*c**2 - 7*c. Let w be s(-6). Suppose m = 0, 2*i - 3*m - w = -7*m. Factor -n**4 + 0*n**i + 2*n + 0*n**4 - n**4 - 2*n**3 + 2*n**2.
-2*n*(n - 1)*(n + 1)**2
Let a(d) be the second derivative of 1/10*d**5 + 5/3*d**3 + 0 - 2*d + 2*d**2 + 2/3*d**4. Factor a(r).
2*(r + 1)**2*(r + 2)
Factor 11*p + 48 + 0*p + 3*p**2 + 13*p.
3*(p + 4)**2
Suppose -b - 5 = -8. Suppose -n = b*n. Find w, given that 8/7*w**2 + 2/7*w + n = 0.
-1/4, 0
Let w(b) be the third derivative of -b**7/210 + b**6/30 - 2*b**4/3 + 8*b**3/3 + 11*b**2. Factor w(a).
-(a - 2)**3*(a + 2)
Let z(j) be the second derivative of -j**4/102 - 2*j**3/51 + 3*j**2/17 - j. Factor z(l).
-2*(l - 1)*(l + 3)/17
Let w be 4/8*-6 - -7. Let -4*u**2 - 4*u**2 - w*u**3 + 5*u**3 - 5*u**3 = 0. What is u?
-2, 0
Let h(z) be the third derivative of -z**7/1155 - z**6/660 + z**5/330 + z**4/132 + 3*z**2. Factor h(c).
-2*c*(c - 1)*(c + 1)**2/11
Let z be (-2)/8 - (-232)/32. Let f = z + -3. Solve -1/4*a + 1/2*a**3 + 1/4 - 1/2*a**2 - 1/4*a**5 + 1/4*a**f = 0.
-1, 1
Let m(h) = h**2 + 7*h + 5. Let f be m(-7). Suppose 5*y - 12 + 4 = -2*z, 0 = -f*z - 5. Solve -2*v**y + 0 + 2/3*v**3 + 4/3*v = 0 for v.
0, 1, 2
Let s(p) be the first derivative of p**6/420 - p**5/70 + p**4/42 + 3*p**2 - 5. Let h(u) be the second derivative of s(u). Suppose h(y) = 0. Calculate y.
0, 1, 2
Let r(h) be the third derivative of h**8/448 + h**7/140 - h**6/40 - h**5/10 + 29*h**2. Factor r(z).
3*z**2*(z - 2)*(z + 2)**2/4
Let x(s) be the first derivative of -3*s**4/4 + 16*s**3/9 - 5*s**2/6 - 2*s/3 - 6. Find q such that x(q) = 0.
-2/9, 1
Factor -2/7*r**4 + 2/7*r - 2/7*r**3 + 0 + 2/7*r**2.
-2*r*(r - 1)*(r + 1)**2/7
What is h in -16/3 - 76/3*h**2 - 50/3*h**3 - 56/3*h - 2/3*h**5 - 16/3*h**4 = 0?
-2, -1
Factor 3*x**4 - 5*x**2 + 14*x**2 - 12 + 15*x - 97*x**3 + 82*x**3.
3*(x - 4)*(x - 1)**2*(x + 1)
Let b be (1/(-8))/((-6)/24). Suppose 1/2*m**5 - b*m**3 + 0*m - 1/2*m**2 + 0 + 1/2*m**4 = 0. Calculate m.
-1, 0, 1
Suppose 0*f + 2*f = -2. Let u = f + 3. What is a in -3*a + 87*a**4 - 49*a**3 - 41*a**3 - 30*a**5 + 39*a**2 + u*a - 5*a = 0?
0, 2/5, 1/2, 1
Let q be 1/(-9)*(-75 + 9). Factor 0 + q*t**2 + 14/3*t**4 + 32/3*t**3 + 4/3*t.
2*t*(t + 1)**2*(7*t + 2)/3
Factor -12*y + 0*y + 3*y**2 - 16 - 2 - 5*y**2.
-2*(y + 3)**2
Suppose 3*y - 10 = -2*c + 2*y, -5 = 5*c - 5*y. Factor p - 2*p**c - 2*p**3 - 2*p**2 + 2*p**3 + 3*p**3.
p*(p - 1)**2
Let j(g) = g**3 + g**2 + g - 1. Let q(s) = -2*s**4 + 12*s**3 + 14*s**2 + 10*s - 10. Let k(y) = 20*j(y) - 2*q(y). Factor k(p).
4*p**2*(p - 2)*(p + 1)
Let 0 + 2/7*z - 2/7*z**3 + 0*z**2 = 0. What is z?
-1, 0, 1
Let y(h) = 6*h**4 + h**2 - 7*h. Let w(a) = a**4 - a. Let k(s) = -28*w(s) + 4*y(s). Find g, given that k(g) = 0.
-1, 0, 1
Let i(z) = z**3 - 8*z**2 - 22*z + 22. Let r be i(10). Factor -4/5*o**r + 2/5*o + 0 + 2/5*o**3.
2*o*(o - 1)**2/5
Let o be ((-144)/4)/6*1/(-2). Let m(v) be the second derivative of -1/30*v**5 + 3*v + 1/36*v**4 + 0*v**2 + 1/90*v**6 + 0*v**o + 0. Factor m(u).
u**2*(u - 1)**2/3
Let b(f) be the third derivative of -f**11/1496880 + f**9/272160 - f**5/10 + 8*f**2. Let a(h) be the third derivative of b(h). Factor a(t).
-2*t**3*(t - 1)*(t + 1)/9
Suppose -5*f = 5*g - 40, -2*f + 0 + 1 = -3*g. Factor -g*v - 3/4 - 3/4*v**4 - 3*v**3 - 9/2*v**2.
-3*(v + 1)**4/4
Let s(c) = c**2 - 8*c + 1. Let n be s(8). Let i = n - 1. Suppose -z**3 + i*z - z**5 + 2*z**4 + 0*z = 0. What is z?
0, 1
Let a(y) be the third derivative of -5*y**2 + 0*y**3 + 0*y + 0 - 1/90*y**5 + 1/36*y**4. Factor a(w).
-2*w*(w - 1)/3
Let k be 2 + 6/2 + -5. Suppose k = -5*o - 0*o. What is z in 3/2*z**2 - 2 - 1/2*z**3 + o*z = 0?
-1, 2
Let i(h) be the third derivative of 1/150*h**5 - 1/120*h**4 + 0*h + 0*h**3 - 4*h**2 + 0*h**6 - 1/525*h**7 + 1/1680*h**8 + 0. Determine m so that i(m) = 0.
-1, 0, 1
Let -6*z**4 - 6*z**3 + 2*z**2 + 8*z**4 + 2*z**2 = 0. What is z?
0, 1, 2
Let f(b) be the second derivative of 1/30*b**5 + 5/9*b**3 - 5*b + 0 - 2/3*b**2 - 2/9*b**4. Factor f(k).
2*(k - 2)*(k - 1)**2/3
Let a(k) = -k**2 + 6*k - 5. Let o be a(1). Find p, given that 0*p**3 + 0*p**2 + 1/2*p**5 + 0*p**4 + o*p + 0 = 0.
0
Let y = 10 - -2. Suppose 9*p - y*p = -9. Solve 0*f - 1/2*f**p + 1/2*f**2 + 0 = 0 for f.
0, 1
Let v = -92/3 + 31. Let t(f) be the first derivative of -2/15*f**5 - 1 - v*f**4 + 0*f**2 + 0*f - 2/9*f**3. Factor t(m).
-2*m**2*(m + 1)**2/3
Let x(i) = -2*i + 2. Let v be x(-8). Solve 15*d**4 + 4*d - v*d**2 + 5*d**3 + 15*d**4 + 3*d**3 = 0 for d.
-1, 0, 1/3, 2/5
Let i = -11 + 13. What is o in 2 - 18*o + 81/2*o**i = 0?
2/9
Factor -1/3*o + 0 - 1/3*o**4 + 1/3*o**3 + 1/3*o**2.
-o*(o - 1)**2*(o + 1)/3
Let o(l) be the second derivative of l**5/30 - l**4/108 - l**3/9 + l**2/18 - 30*l. Factor o(y).
(y - 1)*(y + 1)*(6*y - 1)/9
Suppose -3*o**4 - 5*o**4 - o**4 + 8*o**4 = 0. Calculate o.
0
Let y = 9/8 + -73/72. Let j(l) be the second derivative of -1/15*l**5 - 2*l + 0*l**2 + 0 + 1/63*l**7 + 0*l**4 + 0*l**6 + y*l**3. Factor j(a).
2*a*(a - 1)**2*(a + 1)**2/3
Suppose -11*r = -2*r - 45. Let x be (1/6)/(2/8). Find m, given that 0 - 2*m**4 + 0*m + 2*m**3 - x*m**2 + 2/3*m**r = 0.
0, 1
Let z(j) = 6*j**3 - 6*j**2 + 4*j + 4. Let x(n) = n**3 + 6*n**3 - 2*n**3 + 3 + 4*n + 0*n - 6*n**2. Let c(l) = 4*x(l) - 3*z(l). Solve c(i) = 0 for i.
0, 1, 2
Suppose -f = -8*f + 21. Suppose 4*c - c + f*b - 6 = 0, -2 = -b. Factor c + 10/3*n**3 - 2/3*n**4 + 8/3*n - 16/3*n**2.
-2*n*(n - 2)**2*(n - 1)/3
Let s(l) be the first derivative of -4*l**3 + 1/2*l**4 + 7 + 0*l + 9*l**2. Factor s(p).
2*p*(p - 3)**2
Let f(b) be the third derivative of b**5/240 - b**4/96 + 3*b**2. Factor f(o).
o*(o - 1)/4
Factor -4/5*l**2 + 2/5*l + 0 + 2/5*l**3.
2*l*(l - 1)**2/5
Let u(p) = p + 1. Let n be u(3). Suppose 62 = 4*r - 2*m + 14, 8 = n*m. Factor -7*z - 3*z**2 + r*z + 4 + 5*z**2.
2*(z + 1)*(z + 2)
Let i(