= 2*a**2 + 2*a - 1. Let v be z(-2). Let g(k) = -k**2 - 1. Let j(r) = v*g(r) + b(r). Factor j(i).
-(i - 1)*(4*i + 1)
Let k(f) = 4*f**3 + 2*f**2 - 2*f. Let m(w) be the first derivative of -9*w**4/4 - 4*w**3/3 + 5*w**2/2 + 2. Let v(s) = 14*k(s) + 6*m(s). Solve v(q) = 0.
-1, 0
Let z(m) be the second derivative of -2*m**6/15 - m**5/5 + m**4/6 + 4*m**2 + 2*m. Let n(o) be the first derivative of z(o). Find x such that n(x) = 0.
-1, 0, 1/4
Let d = -7 - -27. Let f = 20 - d. Factor 0*w - 1/4*w**2 + f.
-w**2/4
Let o(v) be the first derivative of 4 + 27*v + 9/2*v**4 - 9*v**2 - 8*v**3 - 3/5*v**5. Determine p, given that o(p) = 0.
-1, 1, 3
Let g(o) be the first derivative of -28/5*o**5 + 0*o**2 - 2*o**6 + 9 + 0*o**4 + 0*o + 16/3*o**3. Suppose g(r) = 0. What is r?
-2, -1, 0, 2/3
Factor -3/4*i**2 + 3/4*i**3 - 3/4*i + 0 + 3/4*i**4.
3*i*(i - 1)*(i + 1)**2/4
Let n(z) = -z + 9. Let t = 13 + -6. Let v be n(t). Factor -2*a - a**2 + 2*a**v - 7*a**2.
-2*a*(3*a + 1)
Factor 4*x - 17*x**2 - 3*x - 3*x + 19*x**2.
2*x*(x - 1)
Let c(f) be the first derivative of -4/15*f**3 + 1/5*f**2 + 1/15*f**6 + 2 - 1/5*f**4 + 2/25*f**5 + 2/5*f. Factor c(u).
2*(u - 1)**2*(u + 1)**3/5
Let q(n) be the first derivative of n**3/3 + 5*n**2/2 + 3*n + 4. Let d be q(-5). What is s in 1/3 + 1/3*s**d + s**2 + s = 0?
-1
Let w(d) be the third derivative of d**5/160 - 5*d**4/64 - 39*d**2 + d. Factor w(m).
3*m*(m - 5)/8
Let l(d) be the first derivative of d**4/5 - 4*d**3/3 + 16*d**2/5 - 16*d/5 - 8. Find c, given that l(c) = 0.
1, 2
Let w = -2/5687 + -904223/28435. Let n = w + 33. Suppose -4/5 - 16/5*l**2 + n*l**3 + 14/5*l = 0. What is l?
2/3, 1
Let h(i) be the third derivative of 5*i**8/336 + i**7/7 + 3*i**6/8 + 10*i**2. Factor h(b).
5*b**3*(b + 3)**2
Let m(a) = -2*a**3 + 0*a**3 - a**2 + a**3 + 3*a**2. Let o be m(2). Find h, given that o*h - 1/4*h**3 + 1/4*h**4 + 0*h**2 + 0 = 0.
0, 1
Let r = 162/7 + -160/7. Solve -6/7*l**2 + 4/7 - r*l = 0.
-1, 2/3
Let q = 15 + -13. Factor 0*g + 6*g - g**q + 3*g**2 - 2*g**3 - 2*g.
-2*g*(g - 2)*(g + 1)
Let z = 43 + -42. Let q be (18/(-54))/(z*-1). Factor 1/3*j + 0 - q*j**2.
-j*(j - 1)/3
Let f = -199 + 7961/40. Let m(n) be the second derivative of -1/12*n**3 + 0*n**2 + 0 + 0*n**4 - n + f*n**5. Factor m(w).
w*(w - 1)*(w + 1)/2
Suppose 21/2*t**5 - 5/4*t**4 - 1/2 - 51/4*t**3 + 7/4*t**2 + 9/4*t = 0. Calculate t.
-1, -1/2, 2/7, 1/3, 1
Let w = 114 + -227/2. What is r in 0 + 9/4*r**2 + 3*r**3 + w*r + 5/4*r**4 = 0?
-1, -2/5, 0
Suppose 33*u - 2*u - 62 = 0. Factor -1/3 + 7/6*j**5 - 2/3*j**3 - u*j**4 - 1/2*j + 7/3*j**2.
(j - 1)**3*(j + 1)*(7*j + 2)/6
Let o = 103 - 101. Let u(a) be the first derivative of 0*a**o - 1/6*a**3 + 3/10*a**5 - 2 - 1/4*a**4 + 0*a. Determine w, given that u(w) = 0.
-1/3, 0, 1
Let l = -1 - -17. Factor l*g**3 + 0*g**2 - g**4 - 17*g**3 + g**5 + g**2.
g**2*(g - 1)**2*(g + 1)
Let w be (4/(-21))/((-54)/81). Let q be (-62)/(-42) + 2/(-6). Let q*m + 4/7*m**3 - w - 10/7*m**2 = 0. Calculate m.
1/2, 1
Let s(l) = -2 - l**2 + 8 + l + 0*l - 2*l**2. Let n(h) = 7*h**2 - 3*h - 13. Let v(d) = 4*n(d) + 9*s(d). Factor v(u).
(u - 2)*(u - 1)
Let o = 12 - 10. Determine v, given that o*v**2 - v**2 - 1 + 3 - 3 = 0.
-1, 1
Solve 0*k + 1/2*k**4 - 1/4*k**5 + 0 + 0*k**2 - 1/4*k**3 = 0 for k.
0, 1
Let j(n) be the first derivative of -n**7/70 - n**6/75 + 2*n + 2. Let s(u) be the first derivative of j(u). Let s(r) = 0. Calculate r.
-2/3, 0
Let c(d) be the first derivative of 1/2*d**4 + 0*d - 2/7*d**5 - 4/21*d**3 + 2 + 0*d**2. Determine t so that c(t) = 0.
0, 2/5, 1
Factor -75*b**2 - 67*b**3 - 676 - 375*b + 62*b**3 + 51.
-5*(b + 5)**3
Let i(o) be the second derivative of -2*o**7/189 + 2*o**6/135 + 11*o**5/180 - o**4/27 - 5*o**3/54 + o**2/9 + 2*o. Find k, given that i(k) = 0.
-1, 1/2, 2
Let n(m) be the second derivative of -m**8/6720 - m**4/12 + m. Let o(y) be the third derivative of n(y). Factor o(h).
-h**3
Let u(s) be the second derivative of -1/30*s**5 + 1/18*s**4 - 1/45*s**6 + s + 1/9*s**3 + 0*s**2 + 0. Let u(l) = 0. Calculate l.
-1, 0, 1
Let x = -16 + 22. Let n = 9 - x. Factor 0*v**2 + 2/3*v**n + 0*v + 2/3*v**4 + 0.
2*v**3*(v + 1)/3
Let w(r) be the first derivative of r**7/1155 - r**6/660 - r**5/330 + r**4/132 + 2*r**2 + 4. Let g(l) be the second derivative of w(l). Let g(v) = 0. What is v?
-1, 0, 1
Let n be 1*((-12)/(-6) - 7/4). Find b, given that -1/4*b**3 + n*b - 1/4 + 1/4*b**2 = 0.
-1, 1
Solve 8/3 + 2/3*m**2 - 8/3*m = 0.
2
Factor -3/4*n**2 + 7/4*n**3 - 5/4*n**4 + 1/4*n**5 + 0*n + 0.
n**2*(n - 3)*(n - 1)**2/4
Let b = 3/5 + -62/105. Let n(g) be the second derivative of 0*g**5 + 0*g**3 + 0 + 2*g - b*g**6 + 1/21*g**4 - 1/7*g**2. Factor n(k).
-2*(k - 1)**2*(k + 1)**2/7
Let g be (-1507)/(-3630) + 4/(-10). Let a(j) be the second derivative of -1/33*j**3 + 0 + g*j**4 + 0*j**2 + 4*j. Factor a(l).
2*l*(l - 1)/11
Factor 2/11*a**2 - 2/11*a**3 + 2/11*a**5 + 0*a - 2/11*a**4 + 0.
2*a**2*(a - 1)**2*(a + 1)/11
Factor -1/4*m**3 + 0*m - 1/4*m**2 + 0.
-m**2*(m + 1)/4
Suppose 8 = 3*i - 7. Let v(r) be the first derivative of 1/6*r**6 - 3/5*r**i - 1/3*r**3 + 2 + 3/4*r**4 + 0*r**2 + 0*r. Factor v(j).
j**2*(j - 1)**3
Let p(l) = l**2 + 7*l + 8. Let r be p(-6). Suppose g + 9 = r*b, 1 - 16 = -3*b + 3*g. Solve 4*v**2 - 4*v**5 - 4*v**b + 0*v + 2*v**5 + 2*v = 0.
-1, 0, 1
Let z(h) = -3*h**2 + 7*h - 4. Let t(c) = -c**2 + 1. Let i(m) = 2*t(m) + z(m). Factor i(b).
-(b - 1)*(5*b - 2)
Factor 11*w**3 - 10*w**3 + 2*w - 2*w - 4*w**4.
-w**3*(4*w - 1)
Suppose -f = -13*f. Let t(h) be the third derivative of 0 + f*h + 2*h**2 - 1/150*h**5 + 1/15*h**3 + 0*h**4. Factor t(l).
-2*(l - 1)*(l + 1)/5
Suppose 5*h - 27 = -7. Suppose h*b = 3*b + 3. Solve -1/3*n + 0 - n**b + n**2 + 1/3*n**4 = 0.
0, 1
Let p be (0 + 1)/(10/(-50)) - -7. Factor 1/4*v**4 + 0 - 3/4*v**3 + 3/4*v**p - 1/4*v.
v*(v - 1)**3/4
Let s = 3 - 3. Let k(i) be the second derivative of s*i**2 + 0 - 1/2*i**4 - 1/3*i**3 + 2*i. What is j in k(j) = 0?
-1/3, 0
Factor 1/4 + 1/2*b - 1/4*b**2 - 1/2*b**3.
-(b - 1)*(b + 1)*(2*b + 1)/4
Factor 0*k - 2/3*k**4 + 4/3*k**3 + 0*k**2 + 0.
-2*k**3*(k - 2)/3
Factor -3*a**3 + 3 + 3 + 4*a**2 - 10*a**2 + 3*a.
-3*(a - 1)*(a + 1)*(a + 2)
Let m(d) be the third derivative of d**8/2016 + d**7/630 - d**6/360 - d**5/90 + d**4/144 + d**3/18 - 5*d**2. Solve m(w) = 0 for w.
-2, -1, 1
Let l(c) be the first derivative of -c**4/8 + c**3/18 + c**2/6 - 25. Factor l(g).
-g*(g - 1)*(3*g + 2)/6
Let k(r) = -49*r**3 - 77*r**2 - 25*r - 11. Suppose -5*c = -4*c - 4*s - 14, -5*s = -2*c + 28. Let l(q) = -q + 1. Let b(y) = c*l(y) + 2*k(y). Factor b(z).
-2*(z + 1)*(7*z + 2)**2
Let s(i) be the third derivative of 0*i**3 + 3*i**2 + 1/112*i**8 - 1/30*i**5 - 1/40*i**6 + 0 + 0*i + 1/105*i**7 + 0*i**4. Factor s(g).
g**2*(g - 1)*(g + 1)*(3*g + 2)
Let k be 1/(1*1/3). Let l be -5 + 38/6 + (-6)/(-9). Factor 1/2 - 1/2*h**5 - h**l - 1/2*h + 1/2*h**4 + h**k.
-(h - 1)**3*(h + 1)**2/2
Let b(v) = v - 8. Let c be b(10). Let l(n) be the second derivative of -c*n - 1/48*n**4 - 1/24*n**3 + 0 + 0*n**2. Factor l(w).
-w*(w + 1)/4
Let b(c) be the first derivative of -42*c**2 + 4*c**6 + 1 - 24*c + 138/5*c**5 + 34*c**3 + 249/4*c**4. Let b(t) = 0. What is t?
-2, -1/4, 1/2
Suppose g + 6 = 5*h - 2*h, 4*g - 3*h = -6. Let t(s) be the third derivative of -1/330*s**5 + 0*s + 0*s**3 - 3*s**2 - 1/132*s**4 + g. Factor t(o).
-2*o*(o + 1)/11
Let k(b) be the first derivative of -1/6*b**4 - 1/10*b**5 + 2 - 1/9*b**3 - 4*b - 1/45*b**6 + 0*b**2. Let o(j) be the first derivative of k(j). Factor o(s).
-2*s*(s + 1)**3/3
Let i be 27/30 + 2/(-4). Let w(z) be the second derivative of 4/3*z**3 + 1/15*z**6 + 1/2*z**4 + 0 - i*z**5 - 4*z**2 + z. Factor w(t).
2*(t - 2)**2*(t - 1)*(t + 1)
Let j(z) = -z**3 - 6*z**2 - 6*z - 3. Let b be j(-5). Let u = 289/1036 - -1/148. Suppose -18/7 + 12/7*s - u*s**b = 0. Calculate s.
3
Let a(j) be the third derivative of -5*j**6/12 + 3*j**5/2 - 2*j**4 + 4*j**3/3 + 6*j**2. Find c, given that a(c) = 0.
2/5, 1
Let a(z) be the second derivative of z**5/140 - z**4/21 + 5*z**3/42 - z**2/7 - 11*z. Find w, given that a(w) = 0.
1, 2
Let k be (2/(-2))/(56/(-16)). Let z be 0/((3 - 4) + 0). Factor 2/7*u + z + k*u**2.
2*u*(u + 1)/7
Let a(w) be the second derivative of -w**7/1260 + w**6/90 - w**5/15 + w**4/4 - w. Let b(z) be the third derivative of a(z). Factor b(d).
-2*(d - 2)**2
Let a(q) be the second d