en that -2/5*p + 2/5*p**2 + w = 0.
0, 1
Let o = -8 - -21. Let y = 13 - o. Factor -6/5*l**4 - 2/5*l**2 + y*l - 6/5*l**3 + 0 - 2/5*l**5.
-2*l**2*(l + 1)**3/5
Let z(c) be the second derivative of c**5/20 + c**4/4 - 13*c. Factor z(a).
a**2*(a + 3)
Factor -6655*u**5 + 40*u - 71*u**2 - 549*u**2 - 2602*u**4 + 2970*u**3 - 423*u**4.
-5*u*(u + 1)*(11*u - 2)**3
Let f(v) be the second derivative of -v**4/24 - v**3/12 + v**2/2 - 6*v. Suppose f(w) = 0. Calculate w.
-2, 1
Let y(d) be the second derivative of -d**5/45 - 2*d**4/27 - 4*d. Determine b, given that y(b) = 0.
-2, 0
Let t(q) be the first derivative of -q**7/420 + q**5/120 - 9*q**2/2 + 9. Let f(x) be the second derivative of t(x). Suppose f(w) = 0. Calculate w.
-1, 0, 1
Let a(l) = -l**2 - 6*l + 5. Let n be a(-7). Let q be (-20)/(-35) - n/(-28). Factor -b**4 - q*b**5 + 0*b**2 + 0*b - 1/2*b**3 + 0.
-b**3*(b + 1)**2/2
Let x = 3 + 0. Let -x*q**2 + q**2 + 1 + 1 = 0. Calculate q.
-1, 1
Let -u**2 - 11*u - 6*u**2 + u**2 - 6 - 4*u = 0. What is u?
-2, -1/2
Let v be 8/6 + ((-42)/(-18) - 3). Let t = 237 + -703/3. Let -v - t*b - 2*b**2 = 0. What is b?
-1, -1/3
Let r(b) = -b**3 - 6*b**2 - 6*b - 1. Let v be r(-5). Suppose 3*l + 1 = -2*l + v*h, -1 = -3*l + 2*h. Solve -2*a**2 + 3*a**2 + 2*a**3 + l*a**4 - 2*a**4 = 0.
-1, 0
Let 29*y**3 - 2*y**3 + 29*y**3 + 0*y**5 - 4*y**2 - 16*y + 32*y**5 + 80*y**4 - 4 = 0. What is y?
-1, -1/2, 1/2
Let j(b) be the second derivative of 3*b**6/70 - 3*b**5/20 - 17*b**4/84 - b**3/14 + 2*b + 4. Let j(d) = 0. Calculate d.
-1/3, 0, 3
Let h be 70/21*(-6)/(-4). Let k(j) be the first derivative of 4/27*j**3 + 32/45*j**h + 0*j**2 + 0*j - 7/27*j**6 + 2 - 11/18*j**4. Let k(q) = 0. What is q?
0, 2/7, 1
Let b be (0 + -2)*(-4)/8. Let y(s) be the first derivative of -b + 0*s + 3/4*s**4 + 1/2*s**2 + s**3 + 1/5*s**5. Factor y(v).
v*(v + 1)**3
Let z(x) = -x - 2. Let v be z(-5). Let n + 3*n**v - n = 0. Calculate n.
0
Let g = -18 + 27. Suppose -g = 2*b - 4*t + 7, -12 = -2*b - 3*t. Factor 0*r + b + 2/7*r**2.
2*r**2/7
Suppose -5*u + 10 + 15 = 0. Solve -14*p**3 + u*p**3 + 10*p**3 - p = 0 for p.
-1, 0, 1
Suppose 0*f - f = -0*f. Let k(v) be the first derivative of f*v**3 - 1/20*v**5 + 0*v - 1/8*v**4 + 1 + 1/8*v**6 + 0*v**2. Factor k(c).
c**3*(c - 1)*(3*c + 2)/4
Let l(t) be the first derivative of -t**7/63 + 4*t**6/45 - t**5/6 + t**4/9 + 6*t - 8. Let i(a) be the first derivative of l(a). Factor i(x).
-2*x**2*(x - 2)*(x - 1)**2/3
Let x(p) = -p**3 - 29*p**2 + 29*p - 26. Let f be x(-30). Find l, given that -1/3*l**5 - 2/3*l + 0 - 3*l**3 - 5/3*l**f - 7/3*l**2 = 0.
-2, -1, 0
Factor 0 + 4*x**4 + 5/2*x**5 - x**2 + 0*x + 1/2*x**3.
x**2*(x + 1)**2*(5*x - 2)/2
Factor 106 - 10*m**3 - 219 + 15*m**2 + 108.
-5*(m - 1)**2*(2*m + 1)
Suppose -d + 25 = 5*i, 4*d = 3*i - 5 + 13. Let q(n) be the first derivative of -3/20*n**d + 1/6*n**3 + 1/4*n + 1/8*n**4 + 1/24*n**6 - 3/8*n**2 + 1. Factor q(w).
(w - 1)**4*(w + 1)/4
Let q(r) = 3*r**2 + 1. Let z be q(-1). Determine y, given that 2*y**4 + 2*y**2 - y**2 - 3*y**z = 0.
-1, 0, 1
Let g = 8 - 5. Suppose g*t**4 + 12 - 10*t**2 + 49*t**2 - 18*t**3 - 36*t + 0*t**4 = 0. What is t?
1, 2
Let z be (-1 - 385) + (-1)/(-1). Let b = z + 1933/5. Factor -8/5 - 2/5*t**2 + b*t.
-2*(t - 2)**2/5
Let 4/3 - 2/3*y**2 + 2/3*y = 0. Calculate y.
-1, 2
Factor -2 - 3/2*v + 1/2*v**2.
(v - 4)*(v + 1)/2
Let s(p) be the second derivative of 7*p**5/160 + p**4/8 - p**3/12 + 2*p. Factor s(u).
u*(u + 2)*(7*u - 2)/8
Let n = 146 + -144. Find l such that -2/3*l + 2*l**n + 0 - 2*l**3 + 2/3*l**4 = 0.
0, 1
Factor -4/3*c**2 + 0 + 2/3*c**5 + 4/3*c**4 - 2/3*c + 0*c**3.
2*c*(c - 1)*(c + 1)**3/3
Suppose 0 = -3*v + 6*v. Determine w so that 0*w**5 + v*w**3 + w**4 + w**5 - 2*w**4 - 2*w**3 = 0.
-1, 0, 2
Let q = -3/206 - 1579/4738. Let j = q - -70/69. Solve 0 - m**2 - j*m = 0.
-2/3, 0
Let q(d) = 3*d**5 + 15*d**4 - 15*d**3 + 20*d**2 - 10*d + 2. Let v = 4 - 3. Let s(x) = x**5 + x**4 + x**3. Let p(b) = v*q(b) - 5*s(b). Factor p(w).
-2*(w - 1)**5
Let k = -1312 - -1314. Factor 1/7*l**k + 0*l + 0*l**3 + 0 - 1/7*l**4.
-l**2*(l - 1)*(l + 1)/7
Let x(h) be the first derivative of -3*h**5/4 + h**4/3 + 3*h**3/2 + h**2 + h - 1. Let u(r) be the first derivative of x(r). Determine g, given that u(g) = 0.
-2/5, -1/3, 1
Let p(i) be the first derivative of i**6/6 - i**4/4 + i**2/2 - i - 3. Let t(k) = -11*k**5 - 2*k**4 + 3*k**3 - 3*k + 3. Let d(n) = -3*p(n) - t(n). Factor d(y).
2*y**4*(4*y + 1)
Let s(o) = -3*o**2 - 12*o + 3. Let j(g) = g**3 - 8*g**2 - 35*g + 10. Let a(i) = -3*j(i) + 8*s(i). Determine k so that a(k) = 0.
-2, 1
Let z(u) = u**3 + 3*u**2 - 5*u - 2. Let g be z(-3). Factor -g*d**3 + 8*d**2 - 3*d**4 - d - 3*d - 24*d**2.
-d*(d + 2)**2*(3*d + 1)
Let j = 327616/9 + -36204. Let p = 198 - j. Suppose p*c + 2/3*c**2 - 4/9*c**5 + 2/9*c**3 + 0 - 2/3*c**4 = 0. What is c?
-1, -1/2, 0, 1
Let r(z) = z - 2. Let c be r(4). Suppose 0 = -4*k - 3*o + 8, -4*k - c*o = -3*o - 8. Find p such that -2/9*p**k + 0 - 2/9*p = 0.
-1, 0
Suppose 4*r - 3*n + 12 = 0, 8 = 4*r - 2*n + 4*n. Let q be 0 - 0/(-3 - r). Determine h so that 0 + q*h + 0*h**2 - 2/5*h**3 + 2/5*h**5 + 0*h**4 = 0.
-1, 0, 1
Let i(h) be the first derivative of -h**3/3 + h**2 - h - 16. Factor i(r).
-(r - 1)**2
Let v be (-2)/4*(3 - 3). Let r be -1 + 3/3 + v. Factor r*h + h**2 + h - 2*h + 0*h.
h*(h - 1)
Let x(n) be the second derivative of n**6/40 - 3*n**5/80 - 5*n**4/16 - 3*n**3/8 - 2*n. Factor x(b).
3*b*(b - 3)*(b + 1)**2/4
Let h(v) = -v. Let n(y) = -y**3 + 3*y**2 - 6*y + 1. Let q be 2 + 27/(-3) + 1. Let a(i) = q*h(i) + 2*n(i). Let a(x) = 0. What is x?
1
Factor 3/4*o**2 + 0 - 3/4*o.
3*o*(o - 1)/4
Let h(c) be the third derivative of c**7/735 - 4*c**6/105 + 16*c**5/35 - 64*c**4/21 + 256*c**3/21 + 3*c**2. Factor h(y).
2*(y - 4)**4/7
Suppose -36*c**3 + 108*c**2 - 108*c + 2*c**4 - 2*c**4 + 4*c**4 = 0. Calculate c.
0, 3
Suppose 7 + 2 = 3*s. Let g be (s - 1) + -2 + 3. Factor 21/2*h**4 - 15/2*h**g + 0*h + 0 - 3*h**2.
3*h**2*(h - 1)*(7*h + 2)/2
Let w(b) be the third derivative of b**7/70 - b**6/10 - b**5/20 + b**4/2 - 29*b**2. Let w(f) = 0. What is f?
-1, 0, 1, 4
Suppose 4*m = 2*p - 178, 5*m = 2*p - 146 - 77. Let i = -131/3 - m. Factor 0*n**3 - 2/3*n**5 + 0 + 2/3*n - 4/3*n**2 + i*n**4.
-2*n*(n - 1)**3*(n + 1)/3
Let g(y) be the third derivative of -y**7/105 + y**6/30 - y**5/30 + 3*y**2. Factor g(n).
-2*n**2*(n - 1)**2
Let w(z) = z**3 - z**2 + z - 1. Let h(u) = 4*u**3 - 10*u**2 + 6*u - 6. Let f(b) = -h(b) + 6*w(b). Factor f(m).
2*m**2*(m + 2)
Let v(y) be the first derivative of y**6/24 - 3*y**4/16 + y**3/6 + 7. Suppose v(x) = 0. Calculate x.
-2, 0, 1
Let p be (-46)/(-45) - (2 + -1). Let s(c) be the third derivative of -4/315*c**7 + 0*c**4 + 0*c**3 + c**2 + 0*c + 0 - 7/180*c**6 + p*c**5. Factor s(x).
-2*x**2*(x + 2)*(4*x - 1)/3
Let h(y) be the second derivative of -y**4/4 - 4*y**3 - 24*y**2 + 15*y. Find w, given that h(w) = 0.
-4
Let -3/7*a**2 + 1/7*a**4 - 11/7*a - 6/7 + 3/7*a**3 = 0. Calculate a.
-3, -1, 2
Let r be (4/10)/(1/5). Find a such that -2*a + 6*a**5 + 8*a**4 - 4*a**2 - 2*a + 4*a - r*a**3 = 0.
-1, 0, 2/3
Let b(u) = -2*u - 2. Let p be b(-3). Suppose -10 + p = -3*h. Determine a, given that a**h + 0*a**2 + a**2 = 0.
0
Let q(r) = -r**2 - 15*r - 1. Let t be q(-15). Let m be 0 + ((-6)/8 - t). Let -1/4*o**4 - m*o**3 + 1/4*o + 0 + 1/4*o**2 = 0. What is o?
-1, 0, 1
Let b(h) be the second derivative of -2*h**6/15 - h**5/5 + 11*h. Factor b(w).
-4*w**3*(w + 1)
Let k(w) be the first derivative of -w**7/420 - w**6/45 - w**5/15 + w**3/3 + 2. Let g(u) be the third derivative of k(u). Find y, given that g(y) = 0.
-2, 0
Factor 0 + 8/3*i - 2/3*i**2.
-2*i*(i - 4)/3
Suppose 9 = -3*q, -3*d + 2*q = 2*d - 26. Find u such that -5*u - 4*u - d*u**2 + 7*u**2 = 0.
0, 3
Let a(c) be the second derivative of c**7/189 - c**6/135 - c**5/90 + c**4/54 - 10*c. Find i such that a(i) = 0.
-1, 0, 1
Let i be (-3)/12*0 - (-3 - -1). Let -1/2*j**4 - i*j**3 + 0*j - 2*j**2 + 0 = 0. What is j?
-2, 0
Let q(x) be the third derivative of 0 + 1/45*x**5 + 1/9*x**3 + 2*x**2 + 0*x + 1/360*x**6 + 5/72*x**4. Suppose q(y) = 0. What is y?
-2, -1
Let f be (-3)/2 - 242/(-132). Let q(t) be the second derivative of 0*t**4 + 1/10*t**5 - f*t**3 + 0 + 2*t + 1/2*t**2 - 1/30*t**6. Suppose q(n) = 0. Calculate n.
-1, 1
Let v be (-6*(-5)/(-20))/((-25)/30). Factor -v*o - 3/5*o**3 +