2)**3
Let t be (2 - -2)*(-1)/(-2). Let g(r) be the first derivative of 0*r**3 + 1/2*r**4 + 0*r + 1/3*r**6 + 4/5*r**5 + 2 + 0*r**t. Factor g(b).
2*b**3*(b + 1)**2
Let k be 86/(-8) + 24/32. Let c be (-1)/k*4/1. Factor 1/5 - 4/5*z + z**2 - c*z**3.
-(z - 1)**2*(2*z - 1)/5
Suppose -3*m - 5*b + 0*b = 25, 0 = -3*m - 2*b - 10. Factor 0*k - 2/3*k**2 + m.
-2*k**2/3
Let k = 14 - 12. Factor -2*g**2 + 3 + 1 - k*g**3 + 0 - 2 + 2*g.
-2*(g - 1)*(g + 1)**2
Let b(f) be the first derivative of f**7/2100 + f**6/300 - f**4/15 - 2*f**3/3 - 3. Let h(u) be the third derivative of b(u). Factor h(q).
2*(q - 1)*(q + 2)**2/5
Let v = -232 - -232. Factor 1/5*d - 1/5*d**3 + 1/5*d**4 - 1/5*d**2 + v.
d*(d - 1)**2*(d + 1)/5
Factor -4 + 16 + m**2 - 4*m**2.
-3*(m - 2)*(m + 2)
Suppose -3*w = d + 5, -4*w + 0*d = 5*d + 25. Suppose -z + 6*z = w. Find m such that -2*m**5 + 2 - 4*m**2 - m - m + z + 4*m**3 + 2*m**4 = 0.
-1, 1
Suppose 0 = -5*u - q + 13, 6 = -5*q + 7*q. Find s, given that 0*s + 3/4 - 3/4*s**u = 0.
-1, 1
Let k be (9 + (-4)/(-2))*2. Determine j, given that -4*j + 12*j**5 - 16*j**3 - 27*j**4 - 14*j + 3 + k*j**3 + 24*j**2 = 0.
-1, 1/4, 1
Suppose -p - 5 = 2*q + 1, 9 = -3*q + 5*p. Let a be 9/q - 6/(-2). Let 2/3*c**2 + 0 + a*c - 5/3*c**3 + c**4 = 0. What is c?
0, 2/3, 1
Let v = 4 - 2. Let h(s) = 2*s**2 - 2*s - 1. Let k be h(v). What is r in -9*r**3 - 4*r**3 - 7*r**4 + 4*r**k - 2*r**2 = 0?
-1, -2/7, 0
Let i = 413 - 229. Let w = -1286/7 + i. Determine d so that 0 + 2/7*d**2 + 0*d**3 - w*d**4 + 0*d = 0.
-1, 0, 1
Let p(j) be the second derivative of j**7/84 - j**6/30 + j**4/12 - j**3/12 - 9*j. Factor p(t).
t*(t - 1)**3*(t + 1)/2
Let b(s) be the second derivative of s**2 - 5/4*s**4 - s + 0 - 7/30*s**6 + 1/6*s**3 + 19/20*s**5. Suppose b(c) = 0. Calculate c.
-2/7, 1
Let d(u) be the first derivative of -u**4/4 - 3*u**3/2 - 3*u**2 - 3*u - 2. Let n(g) be the first derivative of d(g). Determine i so that n(i) = 0.
-2, -1
Let v(p) be the third derivative of 0*p**4 + 0*p**6 + 0*p - 1/504*p**8 + 0*p**5 - 4*p**2 + 0 + 0*p**3 + 0*p**7. Find z such that v(z) = 0.
0
Let k(n) = 8*n**2 - 4 - 3*n**3 + 2*n**3 - 8*n**2 - 3*n. Let t(x) = 11*x + 17 + 3*x + 5*x**3 - 2*x. Let j(y) = -9*k(y) - 2*t(y). Factor j(m).
-(m - 2)*(m + 1)**2
Let s(i) be the first derivative of 25*i**3/3 + 45*i**2/2 - 10*i - 51. Factor s(c).
5*(c + 2)*(5*c - 1)
Let a(h) be the second derivative of -7/12*h**4 - 17/60*h**5 - 1/3*h**2 + 0 + 7*h - 11/18*h**3 - 1/18*h**6. Factor a(i).
-(i + 1)**3*(5*i + 2)/3
Determine n, given that -n**4 + 6*n**3 - 5*n**4 - 18*n**5 + 5*n**4 - 2*n**4 = 0.
-2/3, 0, 1/2
Suppose 0 = 10*h - 15*h + 10. Let l(w) be the second derivative of 0*w**4 - 1/10*w**5 + 0 - w + 1/3*w**3 + 0*w**h. Find t, given that l(t) = 0.
-1, 0, 1
Let p(t) = -6*t**2 + 14*t - 11. Let l(s) = s**2. Let a(o) = 5*l(o) + p(o). Let r be a(13). Suppose 2/7*c - 2/7*c**r + 0 = 0. Calculate c.
0, 1
Let h(y) be the third derivative of -y**6/480 - y**3/6 + y**2. Let w(n) be the first derivative of h(n). Factor w(r).
-3*r**2/4
Let x(d) be the first derivative of 2*d**6/3 - 12*d**5/5 - 2*d**4 + 8*d**3 + 2*d**2 - 12*d + 21. What is c in x(c) = 0?
-1, 1, 3
Suppose -4*z = -2*g, 5*z = -0 + 5. Let i be (g/22)/(7/14). Let 2/11*r + 4/11 - i*r**2 = 0. Calculate r.
-1, 2
Let y(m) = -5*m**3 - 8*m**2 + 3*m - 3. Let h(b) = 5*b**3 + 9*b**2 - 4*b + 4. Let p(d) = -3*h(d) - 4*y(d). Factor p(v).
5*v**2*(v + 1)
Suppose 1/2*r**3 - 2*r + 0 + 0*r**2 = 0. What is r?
-2, 0, 2
Let v be 1/(36/8 - 1). Let v*s**4 + 0 - 2/7*s**3 + 0*s - 2/7*s**2 + 2/7*s**5 = 0. What is s?
-1, 0, 1
Let m be 50/20*6/5. Let p(s) be the first derivative of 1 - 1/5*s**5 + 0*s - 1/3*s**m - 1/2*s**4 + 0*s**2. What is z in p(z) = 0?
-1, 0
Let g = 1399 - 9775/7. Factor g*t**2 + 54/7*t + 2/7*t**3 + 54/7.
2*(t + 3)**3/7
Let f(h) be the third derivative of 0*h**6 - 1/168*h**8 + 0*h + 0*h**3 + 0*h**7 + 0 + 0*h**5 + 0*h**4 + 2*h**2. Determine g so that f(g) = 0.
0
Suppose 26 = 2*a - 4*r, 0 = a - 6*a - r + 21. Solve 2*i**2 - a*i**2 + i**2 - i**2 + 3 = 0.
-1, 1
Solve 2*c**2 - 68*c + 323 - 2 + 257 = 0 for c.
17
Let o(l) be the third derivative of 0 - 1/7*l**7 + 7/15*l**5 + 1/3*l**3 + 0*l + 3/56*l**8 + 5*l**2 - 7/12*l**4 - 1/30*l**6. Suppose o(n) = 0. What is n?
-1, 1/3, 1
Let l(p) be the second derivative of p**5/12 - 5*p**4/12 + 5*p**3/9 + 11*p. Factor l(y).
5*y*(y - 2)*(y - 1)/3
Let i = -10 - -12. Let t be 6/9*14/4. Factor -t*a - 2/3 + 3*a**i.
(a - 1)*(9*a + 2)/3
Suppose 0 = 252*w - 247*w - 10. Factor 0*d - 3/5*d**w + 3/5.
-3*(d - 1)*(d + 1)/5
Suppose 68 = 3*q - 2*n - 59, 0 = -3*q - 2*n + 131. Let x = -39 + q. Factor 0*l**2 + 1/4*l + 0 + 1/4*l**5 - 1/2*l**3 + 0*l**x.
l*(l - 1)**2*(l + 1)**2/4
Let m(h) = h**4 - 3*h**2 + 2*h. Let a(o) = -5*o**4 + 16*o**2 - 11*o. Let d = -17 + 6. Let j(p) = d*m(p) - 2*a(p). Let j(i) = 0. What is i?
-1, 0, 1
Suppose 5*z + 10 = -0*z. Let p(q) = q**3 + 1. Let b(l) = l + 1. Let c(m) = z*b(m) + 2*p(m). Let c(r) = 0. Calculate r.
-1, 0, 1
Suppose 2*w + 0*w - 8 = 0. Let 2*x**3 - w - 21*x**2 + 4*x**2 + 2*x**4 - 10*x + 11*x**2 = 0. What is x?
-1, 2
Let i be 1*(-2)/(-11) + 120/66. Factor 2/5 + 1/5*t - 1/5*t**i.
-(t - 2)*(t + 1)/5
Let i be (7 - 12) + (-369)/(-63). Suppose -6/7*s - i*s**2 - 2/7 - 2/7*s**3 = 0. What is s?
-1
Let h be (-1 + -2)*(-10)/15. Let o(t) be the second derivative of 0*t**h + 0 + 0*t**3 + 1/36*t**4 + 2*t. Find g such that o(g) = 0.
0
Suppose -x - 7*x = -240. Let o = x - 26. Determine s so that 7/4*s**2 - 7/4*s**o - 1/2*s + 1/2*s**3 + 0 = 0.
-1, 0, 2/7, 1
Let l(v) be the third derivative of -v**8/70560 - v**7/8820 + v**5/60 - 5*v**2. Let z(g) be the third derivative of l(g). Find r, given that z(r) = 0.
-2, 0
Let -1159 + 1183 - 36*y - 3*y**2 + 21*y**2 - 3*y**3 = 0. Calculate y.
2
Let v be (-48)/(-22) + (-16)/88. Factor -2/7 - 6/7*n**3 - v*n**2 - 10/7*n.
-2*(n + 1)**2*(3*n + 1)/7
Let b be ((-6)/10)/(30/(-80)). Factor -8/5 - 2/5*c**2 + b*c.
-2*(c - 2)**2/5
Suppose 2*f + 3*f - 10 = 0. Let q = 0 + f. Solve 3*k + 2*k**q - 2*k**4 - 3*k = 0 for k.
-1, 0, 1
Let h(r) be the second derivative of -r**5/20 - 5*r**4/12 + 13*r**3/6 - 7*r**2/2 - 5*r + 1. Solve h(j) = 0.
-7, 1
Let t(g) be the third derivative of g**7/2520 - g**6/240 + g**5/60 - g**4/8 + 7*g**2. Let k(f) be the second derivative of t(f). What is l in k(l) = 0?
1, 2
Let z(a) be the third derivative of a**7/1575 - a**5/450 - 4*a**2. Factor z(j).
2*j**2*(j - 1)*(j + 1)/15
Let m = 37/50 + -6/25. Factor 0*h**2 - m*h**3 - 1 + 3/2*h.
-(h - 1)**2*(h + 2)/2
Let h(j) = j**2 - j. Let x(o) = 7*o**2 - o - 6. Let z(n) = -4*h(n) + x(n). Factor z(p).
3*(p - 1)*(p + 2)
Factor 4/3 - 2*o**2 + 2/3*o - 2/3*o**3 + 2/3*o**4.
2*(o - 2)*(o - 1)*(o + 1)**2/3
Let f = 49/4 - 327/28. Let b = 29/91 - 3/91. Factor 0 + f*s**2 - b*s**3 - 2/7*s.
-2*s*(s - 1)**2/7
Suppose -2*l - 5 = -3*l. Factor 2*t**5 + 0*t**l + 0*t**3 - 13*t**2 + 9*t**2 - 6*t**3.
2*t**2*(t - 2)*(t + 1)**2
Let n(f) be the second derivative of f**5/60 - f**4/72 - f**3/12 - 11*f + 4. Factor n(p).
p*(p + 1)*(2*p - 3)/6
Let f(s) = 3*s - s**2 - 3 + 2*s**3 + 2*s + 0. Let o(z) = 3*z**3 - z**2 + 6*z - 4. Let c(q) = -4*f(q) + 3*o(q). Suppose c(x) = 0. Calculate x.
-2, 0, 1
Let m(p) be the first derivative of -3/5*p**2 - 1 + 1/5*p**3 + 3/5*p. Factor m(b).
3*(b - 1)**2/5
Solve 1/10*f**3 + 1/5*f**2 + 1/10*f + 0 = 0.
-1, 0
Let h(p) = 12*p**4 - 9*p**3 - 12*p**2 + 9*p - 6. Let f(c) = 36*c**4 - 26*c**3 - 36*c**2 + 26*c - 17. Let j(l) = -6*f(l) + 17*h(l). Solve j(a) = 0.
-1, 0, 1/4, 1
Suppose k = 2*k, 4*k = h. Factor 2/5*o**5 + h + 6/5*o**3 + 6/5*o**4 + 0*o + 2/5*o**2.
2*o**2*(o + 1)**3/5
Let x(c) be the first derivative of -1 + 0*c - 1/120*c**5 + 0*c**2 + 1/360*c**6 + 1/3*c**3 + 0*c**4. Let d(j) be the third derivative of x(j). Factor d(b).
b*(b - 1)
Let m be 4*3/36 - (-5)/3. Suppose 4/3*b + 0 - 10/3*b**3 + 2*b**5 - 2/3*b**m + 2/3*b**4 = 0. Calculate b.
-1, 0, 2/3, 1
Let u(j) be the first derivative of -3 - 4/9*j**6 + 14/15*j**5 + 2/3*j**2 + 2/3*j - 16/9*j**3 + 1/3*j**4. Determine q, given that u(q) = 0.
-1, -1/4, 1
Let u(i) be the second derivative of 1/48*i**4 + 0 - 1/8*i**2 + 0*i**3 + 4*i. Find b, given that u(b) = 0.
-1, 1
Factor 8*z**2 + 7*z**4 - 36*z**2 - 4*z - 45*z**3 + 49*z**5 + 21*z**4.
z*(z - 1)*(z + 1)*(7*z + 2)**2
Let j = -94 + 99. Let l(r) be the second derivative of 0 + 0*r**2 - 1