*v**2. Find n such that c(n) = 0.
-2, 0
Factor 5*m + 5*m**2 + 3 - 3*m**2 + m**2 + m.
3*(m + 1)**2
Let a(t) = -t**4 - t**2. Let i(k) = -12*k**4 - 21*k**3 - 33*k**2 - 15*k - 3. Let w(u) = -6*a(u) + i(u). Factor w(d).
-3*(d + 1)**3*(2*d + 1)
Let v(p) be the first derivative of 0*p + 0*p**2 + 0*p**3 + 1/24*p**4 + 2 + 1/36*p**6 - 1/15*p**5. Factor v(g).
g**3*(g - 1)**2/6
Let x(p) = -5*p**4 + 5*p + 0*p**2 - p**2 - 3*p**3 - 2*p**3. Let s(a) = 11*a**4 + 11*a**3 + 3*a**2 - 11*a. Let m(l) = -3*s(l) - 7*x(l). Factor m(y).
2*y*(y - 1)*(y + 1)**2
Suppose -2*g = 3*m - 40, 3*g - m + 13 - 51 = 0. Factor -3*h**4 - h**4 + 12*h**3 - g*h**3.
-2*h**3*(2*h + 1)
Let c = -71 + 79. Let h(x) be the third derivative of 0*x**6 + 0 - 3*x**2 + 0*x + 1/336*x**c + 0*x**5 + 0*x**4 + 1/210*x**7 + 0*x**3. Factor h(r).
r**4*(r + 1)
Let k(j) = -10 + 3*j + 1 + 0*j + 5*j**3 - 4*j**2 - 4*j**3. Let r be k(4). Find o such that 2/9*o**r - 2/9*o + 2/9*o**4 - 2/9*o**2 + 0 = 0.
-1, 0, 1
Let p be -6 + 11 + (1 - 0). Let d be (-12)/36*(0 - p). Factor -1/3*g**d - 2/3 + g.
-(g - 2)*(g - 1)/3
Let f(o) be the first derivative of -169*o**3/12 + 13*o**2/2 - o - 7. Suppose f(t) = 0. What is t?
2/13
Let y = 2 + 0. Factor -2 + 0 + 4*b**y - b - 3*b**2.
(b - 2)*(b + 1)
Let h be -12*1/(-2) - 4. Let d(w) be the third derivative of 0*w**3 + 0*w + 0 + 1/240*w**5 + 0*w**4 + 2*w**h. Solve d(z) = 0 for z.
0
Suppose 5*s = 9 + 16, 21 = -u + 5*s. Determine t so that -1/7*t**u - 1/7*t**2 - 3/7*t**3 + 3/7*t + 2/7 = 0.
-2, -1, 1
Let t(a) = a - 1. Let o be t(2). Let d be (-14)/(-8) - o/(-4). Factor -10*f**3 - 15/2*f - 1 - 33/2*f**d.
-(f + 1)*(4*f + 1)*(5*f + 2)/2
Factor -4/11*o + 0*o**3 - 6/11*o**2 + 2/11*o**4 + 0.
2*o*(o - 2)*(o + 1)**2/11
Factor -1/4*n + 0 - 1/4*n**2.
-n*(n + 1)/4
Let h(f) be the second derivative of -7*f**5/4 + 5*f**4 + 10*f**3/3 - 3*f. Factor h(c).
-5*c*(c - 2)*(7*c + 2)
Let w(d) = d**2 - 8*d + 14. Let z be w(7). Factor -2*r + 2*r**3 - z*r**3 + 7*r**3.
2*r*(r - 1)*(r + 1)
Factor 1/4*k**3 - 7/4*k - 1/2*k**2 - 1.
(k - 4)*(k + 1)**2/4
Let u(f) be the first derivative of 49*f**5/20 - 119*f**4/16 + 3*f**3/2 + 11*f**2/2 + 2*f + 14. Factor u(q).
(q - 2)*(q - 1)*(7*q + 2)**2/4
Let h(x) = -129*x**3 + 189*x**2 + 261*x - 120. Let a(c) = -13*c**3 + 19*c**2 + 26*c - 12. Let s(g) = -21*a(g) + 2*h(g). Factor s(z).
3*(z - 2)*(z + 1)*(5*z - 2)
Suppose 3*p - 45 = -p - 5*n, -n - 49 = -5*p. Suppose 0 = -5*c + z + 2, 2*c + 5*z = 4*c - p. Factor c*y - 1/4*y**3 + 1/4*y**2 + 0.
-y**2*(y - 1)/4
Let y(z) be the first derivative of -2/39*z**3 + 6/13*z**2 - 10 - 18/13*z. Let y(m) = 0. What is m?
3
Let -2/3*z**2 + 0*z + 8/3 = 0. Calculate z.
-2, 2
Let o(t) be the second derivative of t**7/210 - t**6/150 - t**5/100 + t**4/60 - 4*t. Solve o(s) = 0 for s.
-1, 0, 1
Let h = -477 - -477. Factor -1/3*c**2 + 0 + h*c.
-c**2/3
Let a be (3/2)/((-3)/24). Let n = a + 14. Factor 0 - 1/3*p**n + 1/3*p.
-p*(p - 1)/3
Factor 2/5*y**2 + 3/5*y**3 + 2/5 - 7/5*y.
(y - 1)*(y + 2)*(3*y - 1)/5
Let h(w) be the first derivative of -w**7/14 + w**6/10 + 3*w**5/20 - w**4/4 + w + 3. Let i(u) be the first derivative of h(u). Let i(p) = 0. Calculate p.
-1, 0, 1
Let 2/7*f + 1/7 + 1/7*f**2 = 0. Calculate f.
-1
Let q(d) = -595*d**4 + 425*d**3 + 135*d**2 + 35*d - 35. Let u(m) = 35*m**4 - 25*m**3 - 8*m**2 - 2*m + 2. Let o(r) = -2*q(r) - 35*u(r). Solve o(v) = 0 for v.
-2/7, 0, 1
Let w(t) = -2*t**5 - 12*t**4 - 26*t**3 - 24*t**2 - 6*t + 2. Let d(p) = -p - 1. Let m(u) = -4*d(u) - 2*w(u). Factor m(y).
4*y*(y + 1)**2*(y + 2)**2
Suppose 3 = -5*y + 13. Let p(d) be the third derivative of -1/60*d**5 - 1/12*d**4 + 2*d**y + 0 - 1/6*d**3 + 0*d. Factor p(g).
-(g + 1)**2
Let c = 94 + -91. Let o = 1 + -5/6. Factor -1/2*q**2 - o*q**4 + 0 - 1/2*q**c - 1/6*q.
-q*(q + 1)**3/6
Solve 3/8*d**2 - 1/8*d**3 + 0 - 1/4*d = 0.
0, 1, 2
Suppose 39*u - 29*u + 55*u - 10 - 55*u**2 = 0. What is u?
2/11, 1
Factor 1/4*g**3 + 3/2*g**2 + 0 + 9/4*g.
g*(g + 3)**2/4
Let s(o) = -o**3 - o**2 + o. Let j be s(0). Let p = j + 2. Solve 2*v - v**4 + 0*v**3 + p*v**2 - 2*v**3 - v**4 = 0.
-1, 0, 1
Let h(n) be the second derivative of -n**7/189 + n**6/135 + n**5/90 - n**4/54 + n. Factor h(l).
-2*l**2*(l - 1)**2*(l + 1)/9
Let i = 1 + 2. Let w be (-12)/9*i/(-2). Factor 2/7*g**w - 2/7*g**3 + 0*g + 0.
-2*g**2*(g - 1)/7
Suppose 0 + 0*a - 2/11*a**2 + 0*a**3 + 2/11*a**4 = 0. What is a?
-1, 0, 1
Let p(k) be the second derivative of 0 - k - 4/3*k**2 - 1/2*k**4 + 4/3*k**3. Factor p(f).
-2*(3*f - 2)**2/3
Suppose 3*b - 2 = 2*b. Let y(r) be the first derivative of 3/4*r**4 - 2 - 1/2*r**2 - 4/3*r**3 + b*r. Determine u, given that y(u) = 0.
-2/3, 1
Suppose 0 + 0*u - 2/3*u**2 = 0. What is u?
0
Let i(q) = -10*q**2 - 5*q - 1. Let n(z) = 29*z**2 + 15*z + 2. Let f(j) = 8*i(j) + 3*n(j). Find o, given that f(o) = 0.
-1, 2/7
Let y = -19/15 - -239/165. Factor -y*a**3 - 16/11 - 24/11*a - 12/11*a**2.
-2*(a + 2)**3/11
Let t(f) = f**2 - 17*f + 18. Let v be t(16). Determine z, given that -3*z + 4 + 2 + 3*z**2 - 15*z**2 - 18*z**v = 0.
-1/2, 2/5
Let x be (-30)/(-4)*2/3. Factor 4*q**4 + 3*q**5 - 2*q**x - 2*q**4 - 2*q**5 - q**3.
-q**3*(q - 1)**2
Suppose 1 = -4*m + 13. Let y be m/(-2)*6/(-18). Solve y*t**2 + 0*t + 0 - 3/4*t**3 = 0 for t.
0, 2/3
Let x be (4/6)/(4/96). Let w = -10 + x. Factor 0*m**5 - 3*m**3 + 2*m**2 + 5*m**3 + 2*m**5 + w*m**4 + 4*m**3.
2*m**2*(m + 1)**3
Let t(y) be the third derivative of -1/40*y**4 - 3/100*y**5 + 5*y**2 - 3/200*y**6 + 0 + 0*y**3 - 1/350*y**7 + 0*y. Factor t(b).
-3*b*(b + 1)**3/5
Suppose -9 = -3*b + v, 21*v + 35 = 5*b + 26*v. Solve 9*k**b - 4/3*k**2 + 0*k + 0 + 0*k**3 - 9*k**5 = 0 for k.
-1/3, 0, 2/3
Let p be -1 + -2 + 1*2. Let h be (2/p)/((-25)/20). Determine o so that -48/5*o**2 - 10*o**4 + 18*o**3 + 0 + h*o = 0.
0, 2/5, 1
Solve 4/7 + 2/7*n**3 - 10/7*n + 6/7*n**2 - 2/7*n**4 = 0 for n.
-2, 1
Let f = 154/435 + 4/87. Suppose -6/5*p + 6/5*p**3 + 4/5 - 2/5*p**2 - f*p**4 = 0. What is p?
-1, 1, 2
Let h be (-16)/24*((-9)/(-30))/(-3). Let k(p) be the first derivative of 0*p - 1 + h*p**5 + 0*p**4 - 1/3*p**2 - 1/3*p**3. Factor k(a).
a*(a - 2)*(a + 1)**2/3
Let g = -5 + 15. Let r(j) = -j**2 + j + 1. Let u(h) be the second derivative of -2*h**4/3 + 7*h**3/3 + 6*h**2 - 3*h. Let a(b) = g*r(b) - u(b). Factor a(q).
-2*(q + 1)**2
Let x(y) = 3*y**3 - 6*y**2 + y + 2. Let u(t) = -5*t**3 + 11*t**2 - 2*t - 4. Let q(f) = -2*u(f) - 5*x(f). Factor q(c).
-(c - 1)**2*(5*c + 2)
Let s(i) be the second derivative of i**4/120 - i**3/30 - 3*i**2/20 + i - 1. Factor s(c).
(c - 3)*(c + 1)/10
Factor 7*r**2 - 7*r**3 + 6*r**3 + 0*r**3 - 2*r - 4*r.
-r*(r - 6)*(r - 1)
Let i(c) be the third derivative of c**6/360 - c**5/15 + 5*c**4/8 - 25*c**3/9 - 2*c**2 - 21. Let i(l) = 0. What is l?
2, 5
Let w(v) be the second derivative of -3*v**5/10 - 3*v**4/4 - v**3/2 - 42*v. Factor w(c).
-3*c*(c + 1)*(2*c + 1)
Suppose 2*s = 5*w - 233, 0*w - 3*w - s = -142. Suppose -5*a + w + 33 = 0. Factor g**3 - a*g**2 + 5*g - g**4 + 26*g**4 + 4*g**3 - g.
g*(g + 1)*(5*g - 2)**2
Let u = -4/51 - -59/102. Determine g, given that 0 - u*g**4 + 1/2*g**2 + 2*g**3 + 0*g - 2*g**5 = 0.
-1, -1/4, 0, 1
Let x be (6/9 - 1)/(-1). Suppose -2*o = -a - 4*o + 4, 2*a + o - 2 = 0. Let a - 2/3*k**2 - 1/3*k**3 - x*k = 0. Calculate k.
-1, 0
Let m be (-8)/28 + (-30)/(-7). What is l in -2*l**4 + m*l**3 - 5*l - 2*l**2 + 5*l = 0?
0, 1
Let z = 6 + -4. Let j(w) be the third derivative of 0*w**3 + 0*w**4 + 1/210*w**7 + 0 + 0*w - 1/60*w**5 - 2*w**z + 0*w**6. Let j(q) = 0. What is q?
-1, 0, 1
Let f(u) be the first derivative of 5*u**4/4 - 15*u**2/2 + 10*u - 4. Let f(a) = 0. Calculate a.
-2, 1
Let x(o) be the third derivative of -o**6/120 + o**4/24 + o**3/3 - 3*o**2. Let g be x(0). Factor 2/5 + 2/5*n**g + 4/5*n.
2*(n + 1)**2/5
Let p = 1252/3 + -417. Factor -1/3*q**3 + q**2 - q + p.
-(q - 1)**3/3
Suppose -3*x = -5*p + 1 + 48, -4*x - 3*p = 17. Let s = x + 10. Suppose 0 + 1/3*t - 1/3*t**s = 0. What is t?
0, 1
Let z(o) = -2*o**4 - 6*o**3 - o. Let h(c) = -c**4 - c**3 - c**2. Suppose 2*p = -2 - 0. Let d(y) = p*z(y) + 3*h(y). What is q in d(q) = 0?
0, 1
Let n(p) = p**2 + 4*p + 4. Let a be n(-4). What is l in 4*l**2 + a*l**2 + 4 + 9*l**3 - 7*l**3 + 10*l = 0?
-2, -1
Let c(a) be the second derivative of a**5/110 + a**4/66 - 2*a**3/33 - 3*a. Let c(y) = 0. Calculate y.
-2, 0, 1
Let 2*r + 4*r**2 - 3*r + 0*r + 5*r = 0. Cal