 -o - 2. Let g be s(n). Factor r + 3*r**g + 4*r**2 - r**2 + 3*r**4 - 2*r**4.
r*(r + 1)**3
Let w be (1 - (-9)/(-2))*-4. Let t = w - 41/3. Determine p so that t*p**3 - 1/3 - 1/3*p + 1/3*p**2 = 0.
-1, 1
Let c = 25 - 20. Let q = 7 - c. Factor 0*f**q + 0*f + 2/5*f**3 - 2/5*f**4 + 0.
-2*f**3*(f - 1)/5
Let c be (4/3)/((-4)/(-6)). Suppose 2*o + 0 + 0 + 3*o**2 + 0*o**c + o**3 = 0. Calculate o.
-2, -1, 0
Let r(w) = -4*w**3 - 8*w**2 - 6*w - 2. Let n(p) = 13*p**3 + 25*p**2 + 18*p + 6. Let k(s) = 2*n(s) + 7*r(s). Factor k(t).
-2*(t + 1)**3
Factor -20*s**2 - 53*s + 1 + 28*s - 6.
-5*(s + 1)*(4*s + 1)
Suppose 0 = 2*k - 2, 37 = -5*y + k + 6. Let m = y + 6. Factor 2/9*o**2 + m + 0*o + 2/9*o**3.
2*o**2*(o + 1)/9
Let v be 80/(-5) - 2/1. Let k be (-10)/v + 10/(-30). Factor k + 8/9*t**2 - 10/9*t.
2*(t - 1)*(4*t - 1)/9
Suppose -58 = -5*h - 48. Suppose 0 = -5*y + 5*v - 5, -y - 17 = -5*v + 4. Suppose -h*z**5 - 2*z**y + 3*z**4 + 3*z**5 = 0. Calculate z.
-1, 0
Let x be -2 + -12*(-9)/6. Suppose -5*u**3 - 3 + 35*u**3 - 3*u - x*u**4 + 18*u + 3*u**5 - 30*u**2 + u**4 = 0. Calculate u.
1
Let h = -68 - -206/3. Let x = 21 - 62/3. Factor -x*n**2 - h*n - 1/3.
-(n + 1)**2/3
Let v be (8/14)/(2/7). Suppose 0 = -4*z + n + 3 + v, -z + 3*n - 7 = 0. Find d such that 2/5*d**z + 0 + 0*d = 0.
0
Suppose 10*y = 5*y + 10. Suppose -y = q - 4. Factor -1/2*m**q + 3*m**3 + 0*m + 0 + 4*m**5 - 6*m**4.
m**2*(2*m - 1)**3/2
Let k(p) be the third derivative of -p**2 - 1/320*p**6 + 0 + 0*p + 1/160*p**5 + 0*p**3 + 1/32*p**4. Factor k(i).
-3*i*(i - 2)*(i + 1)/8
Let q(o) be the second derivative of o**4/12 - o**3/2 + o**2 + 5*o. Find n such that q(n) = 0.
1, 2
Let 26*r - 12 + 4*r - 5*r**2 - 12 - 1 = 0. What is r?
1, 5
Solve 0 + 10/3*l**2 - 5/3*l - 5/3*l**3 = 0 for l.
0, 1
Let a = 60 + -536/9. Let m = -78 + 81. Solve a*w**2 + 2/9*w - 2/9*w**m - 4/9 = 0 for w.
-1, 1, 2
Let r(q) = -2*q**2 + 2*q - 5. Let z(f) = -f**2 + f - 2. Let i(p) = -2*r(p) + 5*z(p). Factor i(h).
-h*(h - 1)
Let k(g) = 17*g**3 + 28*g**2 + 15*g + 9. Let q(o) = -42*o**3 - 22 - 70*o**2 - 28*o - 18*o + 8*o. Let s(t) = 12*k(t) + 5*q(t). Factor s(y).
-2*(y + 1)**2*(3*y + 1)
Let m(d) be the second derivative of -d**7/273 - d**6/39 - 7*d**5/130 + d**4/78 + 8*d**3/39 + 4*d**2/13 - d. Determine i so that m(i) = 0.
-2, -1, 1
Let v be (-22)/4*(-3 - 1). Determine t, given that -6*t**2 + 4*t - 4*t**4 - v*t**3 - 4*t**4 - 4*t**2 = 0.
-2, -1, 0, 1/4
Suppose -q - 4*x - 12 = -0*q, -4*q = -x - 20. Let -3 + 1 - 6*v**4 + 4*v**3 + 8*v**4 - q*v = 0. What is v?
-1, 1
Suppose -3*y + 2*y = 16. Let x(v) = 6*v**3 + 6*v**2 - 22*v - 22. Let h(g) = 2*g**3 + 2*g**2 - 7*g - 7. Let k(t) = y*h(t) + 5*x(t). Factor k(j).
-2*(j - 1)*(j + 1)**2
Let m(o) = -o**3 - 3*o**2 + 6*o + 6. Let f be m(-4). Let p(c) = 1 - 1 - 1. Let q(z) = 3*z**2 + 2*z + 2. Let w(a) = f*q(a) - 4*p(a). Factor w(d).
-2*d*(3*d + 2)
Let r(t) be the first derivative of t**3/3 - 3. Let l(u) = -u**4 - 2*u**3 - 3*u**2 + 2*u + 1. Let f(c) = -l(c) - 3*r(c). Let f(v) = 0. Calculate v.
-1, 1
Let f(n) be the first derivative of -3*n**5/5 + n**3 + 18. Factor f(m).
-3*m**2*(m - 1)*(m + 1)
Factor 94*o**2 + 20*o**4 - 28*o**3 + 3*o**3 - 89*o**2.
5*o**2*(o - 1)*(4*o - 1)
Let n(i) be the third derivative of 1/84*i**4 + 1/420*i**6 + 1/105*i**5 + 3*i**2 + 0*i**3 + 0*i + 0. Suppose n(x) = 0. Calculate x.
-1, 0
Let a(i) = -5*i + 1. Let s(r) = r**2 + r - 1. Let j be s(0). Let n be a(j). Suppose v**4 - n - 4*v**4 + 6 = 0. What is v?
0
Let z(b) be the first derivative of -5*b**6/12 + b**5 - 5*b**4/8 - 22. Factor z(p).
-5*p**3*(p - 1)**2/2
Let z = 15/7 - 128/63. Let a = z - -1/3. Determine w so that -2/9*w**2 - 2/9 + a*w = 0.
1
Let m(d) be the first derivative of 16*d**5 - 70*d**4 + 85*d**3/3 + 50*d**2 + 15*d + 19. Factor m(w).
5*(w - 3)*(w - 1)*(4*w + 1)**2
Let f(d) be the first derivative of d**7/945 + d**6/540 - d**5/270 - d**4/108 - 3*d**2/2 - 3. Let g(u) be the second derivative of f(u). Factor g(s).
2*s*(s - 1)*(s + 1)**2/9
Suppose -4/7*r**2 - 4/7*r + 4/7*r**3 + 4/7 = 0. What is r?
-1, 1
Suppose -j - 6 = 2*j. Let h = j - -2. Solve 0 - 2/3*c + 2/3*c**3 + h*c**2 = 0 for c.
-1, 0, 1
Let r(f) be the second derivative of -1/12*f**3 + 0 - 1/12*f**4 + 0*f**2 - 2*f - 1/40*f**5. Factor r(y).
-y*(y + 1)**2/2
Let w = 1 + 0. Let r = w - 1. Let -5*s**4 + r*s**4 + 3*s**4 + 2*s**2 = 0. What is s?
-1, 0, 1
Let w(p) be the third derivative of -p**8/112 + p**6/20 - p**4/8 - 21*p**2. Factor w(s).
-3*s*(s - 1)**2*(s + 1)**2
Let j(m) = -2*m - 6. Let a be j(-5). Factor 0*c - 2*c**a - 10/3*c**3 - 4/3*c**2 + 0.
-2*c**2*(c + 1)*(3*c + 2)/3
Suppose -3*l + 4*o = -5*l, l - 16 = 2*o. Suppose 0 = -3*y + 20 - l. Factor -y*k + 8/5 - 10*k**2 + 25*k**3.
(5*k - 2)**2*(5*k + 2)/5
Let f(a) be the first derivative of -a**5/5 + a**4/2 - a**2 + a - 55. Factor f(p).
-(p - 1)**3*(p + 1)
Let b(n) be the second derivative of n**8/9240 + n**7/4620 - n**6/990 - n**3/6 - 5*n. Let w(d) be the second derivative of b(d). Factor w(v).
2*v**2*(v - 1)*(v + 2)/11
Let i(b) = 1. Let m(t) = 2*t**2 + 8*t + 16. Let j(r) = 8*i(r) - m(r). Suppose j(g) = 0. What is g?
-2
Let n = -2 + 5. Factor -15*j + 15*j + 12*j**n - 2*j**4 - 18*j**2.
-2*j**2*(j - 3)**2
Let p(h) be the third derivative of 1/180*h**6 - 1/3*h**3 - h**2 + 1/30*h**5 + 0 + 0*h - 1/36*h**4. Factor p(r).
2*(r - 1)*(r + 1)*(r + 3)/3
Let k(c) be the first derivative of c**6/6 - c**5/5 - 3*c**4/4 + c**3/3 + c**2 - 5. Solve k(y) = 0 for y.
-1, 0, 1, 2
Let g(s) = -80*s**5 - 316*s**4 - 136*s**3 + 72*s**2 - 28*s. Let a(j) = 9*j**5 + 35*j**4 + 15*j**3 - 8*j**2 + 3*j. Let q(f) = 28*a(f) + 3*g(f). Solve q(i) = 0.
-2, -1, 0, 1/3
Suppose -9 = -j - 2*j. Let m be (-8 + 36)*(-1)/(-10). Let 28/5*t**2 - 32/5*t**4 + 8/5*t**j + m*t**5 + 4/5 - 22/5*t = 0. Calculate t.
-1, 2/7, 1
Let v = 9/73 + 55/146. Solve 0*n + 0*n**2 + 0 + v*n**5 + n**3 - 3/2*n**4 = 0 for n.
0, 1, 2
Factor -1/3 - 1/3*b**2 - 2/3*b.
-(b + 1)**2/3
Determine p so that 4/3*p**3 + 8/3 + 6*p**2 - 2*p**4 - 8*p = 0.
-2, 2/3, 1
Factor 0 + 2/9*l**5 - 2/3*l**3 - 4/9*l**2 + 0*l + 0*l**4.
2*l**2*(l - 2)*(l + 1)**2/9
Let r(x) = x**4 - 7*x**3 + 8*x**2 - 2*x + 3. Let i(y) = 2*y**4 - 15*y**3 + 17*y**2 - 4*y + 7. Let w(s) = 3*i(s) - 7*r(s). Find d, given that w(d) = 0.
0, 1, 2
Let r be 46/45 + 10/(-45). Factor -4/5 - 1/5*c**2 - r*c.
-(c + 2)**2/5
Let h(p) = -7*p**5 - 2*p**4 - 4*p**2 - 5*p. Let z(q) = -13*q**5 - 4*q**4 - 7*q**2 - 9*q. Let t(n) = 11*h(n) - 6*z(n). Factor t(j).
j*(j - 1)*(j + 1)**3
Let h(b) = -b**2 - 3*b + 3. Let n be h(-3). Suppose -2*o**3 + 4*o**2 + o**4 - o - 1 - 4*o**2 + n*o = 0. What is o?
-1, 1
Factor -2/3*a + 4/9 + 2/9*a**2.
2*(a - 2)*(a - 1)/9
Let n(p) be the third derivative of -p**8/448 - p**7/140 + p**6/80 + p**5/10 + 7*p**4/32 + p**3/4 + 2*p**2. Factor n(v).
-3*(v - 2)*(v + 1)**4/4
Let q(i) be the third derivative of i**6/24 - i**5/3 - 35*i**4/6 - 80*i**3/3 - 34*i**2. Solve q(b) = 0.
-2, 8
Solve -14 + 28 + 4*b - 20*b + 2*b**2 = 0 for b.
1, 7
Let b(i) be the second derivative of 3*i**5/20 - i**4/4 - 3*i. Factor b(l).
3*l**2*(l - 1)
Let d(q) be the third derivative of 0*q - 1/20*q**6 - 2/15*q**5 + 0*q**3 - 1/12*q**4 - 3*q**2 + 0. Find c, given that d(c) = 0.
-1, -1/3, 0
Factor 4*k**3 - 302*k**4 - 2*k + 2*k + 306*k**4.
4*k**3*(k + 1)
Let n = 2494/9 + -276. Determine f so that -2/9*f**5 + n*f + 4/9 - 8/9*f**4 + 4/9*f**2 - 8/9*f**3 = 0.
-2, -1, 1
Let z be 18 - 21 - 23*2/(-14). What is c in 2/7*c**3 - 2/7*c + 2/7 - z*c**2 = 0?
-1, 1
Let j(p) be the third derivative of -p**6/1260 - p**3/6 + p**2. Let n(u) be the first derivative of j(u). Factor n(q).
-2*q**2/7
Let o(p) be the second derivative of 7*p**5/80 - p**4/4 + p**3/8 + p**2/4 + p. Factor o(r).
(r - 1)**2*(7*r + 2)/4
Factor 24*s**2 + 4*s + 11*s - 5 - 29*s**2 - 5*s.
-5*(s - 1)**2
Let u(q) be the first derivative of 5*q**3/9 - 5*q**2/6 + 7. Suppose u(n) = 0. Calculate n.
0, 1
Let j(b) be the third derivative of b**7/840 + b**6/480 - b**5/80 - 5*b**4/96 - b**3/12 + 7*b**2. Factor j(q).
(q - 2)*(q + 1)**3/4
Let b = -4 - -10. Suppose -4*y**2 + y**2 - 2*y - b - 7*y = 0. Calculate y.
-2, -1
Suppose 0 = -2*h - 3*v - 14, 4*h - 2*v + 6*v + 24 = 0. Let n = -2 - h. Solve 2/7*k - 4/7*k**n + 2/7*k**3 + 0 = 0.
0, 1
Let u be 0 + 3 - (-1 + 1). Factor 10*v**2 + u*v**2 + 11*v**2 - 35*v**3 - 4*v.
-v*(5*v - 2)*(7*v - 2)
Let g be (-1 - 0)/