**2 + 0 - 3/10*b**5 - 3/10*b**6 + 0*b**3 + 0*b. Suppose j(u) = 0. Calculate u.
-1/2, 0
Suppose -4*r + 3*r = -2. Factor 2/7*y**r - 2/7 + 0*y.
2*(y - 1)*(y + 1)/7
Let c(f) be the first derivative of -f**5/100 + f**4/60 + f**3/30 - f**2/10 + f + 2. Let i(t) be the first derivative of c(t). Factor i(w).
-(w - 1)**2*(w + 1)/5
Let 3*i**2 + 8 - 3*i + 6 - 17 + 3*i**3 = 0. Calculate i.
-1, 1
Let j(p) be the third derivative of p**8/1512 - p**7/315 - p**6/540 + p**5/90 - 56*p**2. Suppose j(q) = 0. What is q?
-1, 0, 1, 3
Let a(p) be the third derivative of -7*p**5/90 - p**4/6 + p**3/9 + 7*p**2. Factor a(t).
-2*(t + 1)*(7*t - 1)/3
Let y be 5 + -3 + (-4)/(-5). Suppose y*f + 4/5 + 6/5*f**2 = 0. What is f?
-2, -1/3
Let v(o) be the first derivative of -o**3/9 + o**2/6 + 2*o - 44. What is i in v(i) = 0?
-2, 3
Let a(t) be the second derivative of 3/100*t**5 + 0 + 0*t**6 - 3*t + 0*t**3 + 0*t**4 - 1/70*t**7 + 0*t**2. Factor a(q).
-3*q**3*(q - 1)*(q + 1)/5
Let z(g) be the third derivative of g**8/1680 - 2*g**7/525 + g**6/300 + g**5/75 - g**4/40 + 11*g**2. Factor z(i).
i*(i - 3)*(i - 1)**2*(i + 1)/5
Let v(a) = -2*a + 1. Let i be v(4). Let y(g) = 4*g**4 - 13*g**3 - 5*g**2 - 7. Let t(c) = -2*c**4 + 7*c**3 + 3*c**2 + 4. Let u(b) = i*t(b) - 4*y(b). Factor u(x).
-x**2*(x - 1)*(2*x - 1)
Suppose 2/9*u**2 + 98/9 + 28/9*u = 0. What is u?
-7
Let u(j) = -j**2 - 12*j - 17*j + 26*j - 2. Let d(z) = 4*z**2 + 10*z + 7. Let s be (7 - 1)*1*-1. Let k(c) = s*d(c) - 21*u(c). Factor k(v).
-3*v*(v - 1)
Suppose -20 = 5*l - k - 21, 0 = -4*l + 3*k + 3. Let -2/3*m + l - 2/3*m**2 = 0. Calculate m.
-1, 0
Let t = 10 - 8. What is z in -2*z**t + 1 - 2*z - 1 + 4*z**2 = 0?
0, 1
Let u(w) be the first derivative of -w**4/12 + w**3/9 + 5*w**2/3 + 8*w/3 - 45. Factor u(j).
-(j - 4)*(j + 1)*(j + 2)/3
Let d(g) be the second derivative of 1/24*g**4 - 1/12*g**3 + 3*g + 0*g**2 + 0. Factor d(m).
m*(m - 1)/2
Suppose -12 = -4*l + 8. Let u(s) be the third derivative of 1/30*s**l + 0 - 1/3*s**3 + 0*s**4 + s**2 + 0*s. Factor u(t).
2*(t - 1)*(t + 1)
Let w(c) be the first derivative of -c**3/7 + 9*c**2/7 - 27*c/7 - 4. Let w(m) = 0. What is m?
3
Let u(w) = -8*w**3 + 8*w**2 + 4*w - 12. Let a(i) = 9*i**3 - 7*i**2 - 4*i + 12. Let l(c) = -4*a(c) - 5*u(c). Let l(h) = 0. Calculate h.
-1, 1, 3
Let w be 7/14 - (-15)/6. Let h(x) be the first derivative of -2 + 0*x**2 + x - 1/3*x**w. Find u such that h(u) = 0.
-1, 1
Let s(x) be the third derivative of 3*x**8/112 + 11*x**7/70 + 23*x**6/60 + x**5/2 + 3*x**4/8 + x**3/6 - 5*x**2. Suppose s(c) = 0. What is c?
-1, -1/3
Let v = -4 + 8. Let z = v + -2. Factor -2/9*k**5 + 0 + 2/9*k**3 + 2/9*k**4 - 2/9*k**z + 0*k.
-2*k**2*(k - 1)**2*(k + 1)/9
Suppose 0 = -5*x + 3*h + 7, -3*h + 4 = x - 1. Factor 0 - 2/9*l**x - 2/9*l.
-2*l*(l + 1)/9
Let y = -19487/48 - -406. Let w(v) be the third derivative of -1/80*v**5 + 0 + y*v**4 + 3*v**2 + 0*v + 1/480*v**6 + 0*v**3. Factor w(c).
c*(c - 2)*(c - 1)/4
Let q(l) = 6*l**2 - 106*l - 96. Let y(d) = -d**2 + 21*d + 19. Let j(v) = 3*q(v) + 16*y(v). Let j(t) = 0. Calculate t.
-8, -1
Suppose -5*w = -4 - 6. Factor r + 5*r + w*r**2 + 2*r - 4*r.
2*r*(r + 2)
Let w be (8/(-12))/(2/(-4)). Let w - 14/3*l - 2*l**3 + 16/3*l**2 = 0. What is l?
2/3, 1
Suppose -4*p + 6*p = 0. Let t be 4 + 1 - (-1 + p). Suppose 0*d + 5*d**2 - 2*d**2 - 6*d + t*d**2 = 0. Calculate d.
0, 2/3
Let n(l) be the first derivative of -l**3/6 + 3*l**2/4 - l + 10. Determine c, given that n(c) = 0.
1, 2
Let s be (-6)/(-39) - ((-72)/13)/3. Factor -8*p + 49/3*p**3 + 4/3 + 7*p**s.
(p + 1)*(7*p - 2)**2/3
Factor -9*r**4 - 16*r - 11*r**4 + 2*r**3 + 8*r**2 + 2*r**3 + 18*r**4.
-2*r*(r - 2)**2*(r + 2)
Let h(d) = -26*d - 21*d + 77*d**2 + 7*d. Let c(r) = -76*r**2 + 41*r + 1. Let y(o) = 4*c(o) + 5*h(o). Find w, given that y(w) = 0.
2/9
Let b = 365/2 - 181. Factor b*c**3 - 3/2*c - 3/4*c**4 + 3/4 + 0*c**2.
-3*(c - 1)**3*(c + 1)/4
Suppose 0 = -9*p + 3*p + 42. Suppose 5*c - 13 = v, -3*v - p = -5*v - c. Determine a, given that 6/7*a**v - 6/7*a**4 + 2/7*a**3 + 0 - 2/7*a = 0.
-1, 0, 1/3, 1
Suppose -3*d - 10 = 5*k, -5*k + 0 = -d + 10. Determine m, given that 2/5*m**3 + 2/5*m**2 + 0*m + d = 0.
-1, 0
Factor 0 + 4/13*f + 2/13*f**2.
2*f*(f + 2)/13
Let n be (-24)/(-14) - (-2 + (-12)/(-7)). Let -42/5*g - 4/5 - 232/5*g**4 - 72/5*g**5 - 32*g**n - 282/5*g**3 = 0. Calculate g.
-1, -1/2, -2/9
Let r(w) be the third derivative of w**8/140 - 4*w**7/525 - w**6/15 + 7*w**4/30 + 4*w**3/15 - 13*w**2. Let r(q) = 0. Calculate q.
-1, -1/3, 1, 2
Let h be 17/4 + (-10)/40. What is g in 0*g**3 + 1/2*g**h + 0*g**2 - 9/4*g**5 + 0*g + 0 = 0?
0, 2/9
Let g(m) be the third derivative of -m**7/420 - m**6/240 + m**5/40 + 5*m**4/48 + m**3/6 - 3*m**2. Solve g(a) = 0.
-1, 2
Let a be -2 - (177/60 + -5). Let t(h) be the third derivative of 0*h + 0*h**3 + 0 + a*h**5 - 2*h**2 + 0*h**4. Factor t(f).
3*f**2
Factor -12/7*o - 1/7*o**2 - 36/7.
-(o + 6)**2/7
Let h = -163 + 166. Let n be (-6)/4 + 1 + 1. Factor 0 + 0*o**2 + 0*o**4 + n*o**h - 1/4*o**5 - 1/4*o.
-o*(o - 1)**2*(o + 1)**2/4
Let j be (-6)/27*1*-3. Let r(g) be the third derivative of 0*g - j*g**3 - 1/4*g**4 + 1/15*g**5 - g**2 + 0 + 1/20*g**6. Factor r(k).
2*(k - 1)*(k + 1)*(3*k + 2)
Let p(u) = u. Let c be p(3). Let z = 33 - 65/2. Let -o**c + 1/2*o**4 + z*o**5 + 1/2 + 1/2*o - o**2 = 0. Calculate o.
-1, 1
Let u = 7 + -3. Let z be (u/(-6))/(1/(-3)). Find y, given that 2*y**z + 0 - 1 - 1 = 0.
-1, 1
Let l(z) = -z**3 + 13*z**2 - 11*z - 12. Let j be l(12). Suppose -2/9 + j*p**2 - 4/9*p**3 + 4/9*p + 2/9*p**4 = 0. Calculate p.
-1, 1
Let w(g) = -g**4 - 4*g**3 + 3*g**2 + 3*g + 3. Let s(a) = 2*a**4 + 8*a**3 - 5*a**2 - 5*a - 5. Let z(b) = -6*s(b) - 10*w(b). Factor z(o).
-2*o**3*(o + 4)
Let h be (0 - (2 + 0))*2. Let t be 6/(5/((-5)/h)). Suppose -6*i**2 - t*i**4 + 5*i**3 - 1/2 + 3*i = 0. What is i?
1/3, 1
Let w(i) be the first derivative of i**6/120 + 11*i**3/3 - 2. Let v(k) be the third derivative of w(k). Suppose v(l) = 0. Calculate l.
0
Let f(h) be the first derivative of -4*h**5/5 - 3*h**4 + 8*h**3/3 + 24*h**2 + 32*h + 4. Factor f(s).
-4*(s - 2)*(s + 1)*(s + 2)**2
Let q be (-6 - -5)/((-2)/54). Suppose 13 = 3*m - 2, -4*s = 3*m - q. Solve 0*j**s + 2*j - j - j**3 = 0 for j.
-1, 0, 1
Let w(i) be the second derivative of i**8/3360 - i**7/840 + i**6/720 - i**3/6 + 3*i. Let a(o) be the second derivative of w(o). Solve a(u) = 0.
0, 1
Let v(d) be the second derivative of d**6/120 + d**5/80 - d**4/16 - d**3/24 + d**2/4 + 4*d. Factor v(c).
(c - 1)**2*(c + 1)*(c + 2)/4
Suppose 5*t - q - 12 = 0, -18*t + 14*t = -2*q - 12. Determine a so that a**t + 1/4*a**5 + 1/4*a + a**4 + 0 + 3/2*a**3 = 0.
-1, 0
Let g be 661/(-10) - 9/6. Let i = g + 68. Determine s so that 6/5*s**2 - i + 4/5*s = 0.
-1, 1/3
Let h be ((-7)/9 - 1) + -4 + 6. Let -2/9*f**3 + 0 - h*f**2 + 4/9*f = 0. What is f?
-2, 0, 1
Suppose 3/7*o**5 + 0*o - 3/7*o**2 + 0 - 3/7*o**3 + 3/7*o**4 = 0. Calculate o.
-1, 0, 1
Let b(a) be the second derivative of 0*a**2 - 2/3*a**4 + 4/9*a**3 + 0 + 2/3*a**6 - 11/30*a**5 - a + 25/63*a**7. Find l such that b(l) = 0.
-1, 0, 2/5
Let i be 2*(3 + 14/(-5)). Factor i*t**3 + 2/5*t - 4/5*t**2 + 0.
2*t*(t - 1)**2/5
Suppose -4*o = 4*x - 28, -2*x - 25 = -7*x. Determine m so that -2/9*m**o + 2/9*m + 0 = 0.
0, 1
Factor 14*y**4 + 15*y**4 + 16*y**3 - 37*y**4 + 4*y**3 - 8*y**2.
-4*y**2*(y - 2)*(2*y - 1)
Factor -4/5*p**2 + 24/5*p + 0.
-4*p*(p - 6)/5
Suppose 0 + 3/4*s**3 + 0*s**2 + 3/4*s**4 + 0*s = 0. What is s?
-1, 0
Let l(i) be the third derivative of i**8/504 + i**7/105 + i**6/60 + i**5/90 + 4*i**2. Factor l(t).
2*t**2*(t + 1)**3/3
Suppose -4*k = p - 30, 0*k + 5*k = -p + 38. Factor k*q + 7*q - 2 + 3*q**2 - 16*q.
(q - 1)*(3*q + 2)
Suppose -3*f + 9 = -4*f + 5*c, -2 = -4*f + c. Let h(q) be the first derivative of -9/8*q**2 + 1/2*q + 7/12*q**3 - f. Factor h(n).
(n - 1)*(7*n - 2)/4
Let x(k) be the third derivative of 1/360*k**5 + 0 + 0*k - 1/36*k**3 + 7*k**2 + 0*k**4. Factor x(p).
(p - 1)*(p + 1)/6
Suppose 3*j - 3*w + 102 = 411, 221 = 2*j + 3*w. Let i = 744/7 - j. Let -i + 0*a + 2/7*a**2 = 0. Calculate a.
-1, 1
Let f(h) = 7*h**4 - 8*h**3 - 7*h**2 + 10*h + 2. Let u(x) = 22*x**4 - 23*x**3 - 22*x**2 + 30*x + 7. Let j(k) = 7*f(k) - 2*u(k). Find r such that j(r) = 0.
-1, 0, 1, 2
Let j(w) = 8*w**2 - 11*w + 5. Let r(d) = 12*d**2 - 17*d + 7. Let f(t) = -7*j(t) + 5*r(t). F