+ i**3/4 + i**2/2 + 5*i. Factor k(l).
-(l - 1)*(5*l + 2)/2
Let w be 8/6*15/110. Let l = 40/99 - w. Factor -l - 2/9*t**2 - 4/9*t.
-2*(t + 1)**2/9
Suppose 0 = -2*x - 3*x + 50. Let a(o) = 9*o**2 - x*o - 1 - o + 12*o**2. Let j(z) = -52*z**2 + 28*z + 2. Let i(r) = -12*a(r) - 5*j(r). Factor i(b).
2*(2*b - 1)**2
Factor -2/9*g - 4/9 + 2/9*g**3 + 4/9*g**2.
2*(g - 1)*(g + 1)*(g + 2)/9
Let m(o) = 3*o**4 - 16*o**3 - 42*o**2 - 60*o - 21. Let a(f) = -4*f**4 + 17*f**3 + 41*f**2 + 60*f + 20. Let c(s) = -4*a(s) - 5*m(s). What is p in c(p) = 0?
-5, -1
Let d be (-2*(-2)/16)/((-51)/(-68)). Factor n**2 - 2/3*n - d.
(n - 1)*(3*n + 1)/3
Suppose -5 = -3*c + 1. Factor 2*g**c + 4*g + 3 - 1 + 0.
2*(g + 1)**2
Let m(a) be the first derivative of -a**4/8 + 11*a**3/24 - 5*a**2/8 + 3*a/8 + 3. Solve m(b) = 0 for b.
3/4, 1
Let c(w) be the third derivative of w**6/600 + w**5/300 - w**4/30 - 2*w**3/15 + 4*w**2. Suppose c(y) = 0. What is y?
-2, -1, 2
Let u(s) be the second derivative of -1/12*s**4 + 2*s - 8*s**2 + 0 + 4/3*s**3. Suppose u(h) = 0. What is h?
4
Let u = 3368/3 + -1145. Let a = u - -347/15. Determine b, given that -2*b - 2/5*b**3 - 8/5*b**2 - a = 0.
-2, -1
Let a(y) = -y + 1. Let b be a(-2). Let j be (-3)/(-9) + (-1)/b. Factor j + 5/2*w**4 + w - 5/2*w**2 - w**3.
w*(w - 1)*(w + 1)*(5*w - 2)/2
Determine m, given that -18*m**4 - 42*m**2 - 40*m - 32*m**2 - 46*m**3 - 8 - 14*m**3 = 0.
-1, -2/3
Suppose 12 = 2*s + 3*n - 7*n, -5*n = 3*s + 4. Factor 4*y - 5*y + y + s*y**4.
2*y**4
Let g be 2 - (-2 + 0 + 7). Let i(p) = -2*p**2 - 2*p - 2. Let c(o) = 2*o**2 + 3*o + 3. Let v(j) = g*i(j) - 2*c(j). Determine s so that v(s) = 0.
0
Let k(t) = -t**3 - 3*t**2 + 3*t - 1. Let v be k(-4). Suppose -9 = -0*m - v*m. Solve -6 + 1 + j**2 + m - j = 0.
-1, 2
Let v(o) be the third derivative of -8*o**7/735 - o**6/30 + 2*o**5/35 + o**4/6 - 4*o**3/21 - 29*o**2. Suppose v(j) = 0. Calculate j.
-2, -1, 1/4, 1
Solve -1/3 - 1/6*c**2 - 1/2*c = 0 for c.
-2, -1
Let y = -18 - -56/3. Solve 0 - 1/3*i**2 - y*i = 0 for i.
-2, 0
Let c(k) = k**3 - 13*k**2 - 30*k. Let h be c(15). Let 0*w - 1/2*w**3 + h + 0*w**2 = 0. Calculate w.
0
Let u(p) be the first derivative of p**8/1400 + 2*p**7/525 + 7*p**6/900 + p**5/150 - 5*p**3/3 - 3. Let h(v) be the third derivative of u(v). Factor h(l).
2*l*(l + 1)**2*(3*l + 2)/5
Suppose 5*f - f - 8 = 0. Let a(r) be the third derivative of 0*r + 0 - 1/6*r**4 - 1/6*r**3 + f*r**2 - 1/96*r**6 - 17/240*r**5. Factor a(c).
-(c + 1)*(c + 2)*(5*c + 2)/4
Let w(d) be the second derivative of d**7/315 - d**6/225 - d**5/150 + d**4/90 + 34*d. Factor w(p).
2*p**2*(p - 1)**2*(p + 1)/15
Let l(k) be the second derivative of -k**8/1008 + k**7/630 + k**6/360 - k**5/180 - k**2/2 + 3*k. Let g(m) be the first derivative of l(m). Factor g(r).
-r**2*(r - 1)**2*(r + 1)/3
Let w(m) = 35*m**4 + 11*m**3 - 35*m**2 - 11*m. Let j(t) = 18*t**4 + 6*t**3 - 18*t**2 - 6*t. Let k(u) = 5*j(u) - 3*w(u). Suppose k(s) = 0. What is s?
-1, -1/5, 0, 1
Let y(x) be the third derivative of -x**5/270 - x**4/27 - 16*x**2. Factor y(c).
-2*c*(c + 4)/9
Let h(w) = -5*w - 30. Let q be h(-6). Factor 1/2*r**2 - 1/2*r + q.
r*(r - 1)/2
Factor -1/3*r + 0 + 2/3*r**2 - 1/3*r**3.
-r*(r - 1)**2/3
Determine h, given that 1/2 - 5/4*h**2 + 3/4*h = 0.
-2/5, 1
Let y(f) be the first derivative of f**4/4 - 7*f**3/3 - 7*f**2/2 + 7*f - 2. Let r(q) = 2*q**3 - 15*q**2 - 15*q + 15. Let i(t) = -6*r(t) + 13*y(t). Factor i(n).
(n - 1)**2*(n + 1)
Let l(d) = 2*d**3 + 2*d**2 + 2*d + 2. Let a(c) = c**3 + 1. Let f(s) = -a(s) + l(s). Let b be f(-1). Factor 0*i + b + 2/5*i**4 + 2/5*i**5 + 0*i**2 + 0*i**3.
2*i**4*(i + 1)/5
Suppose 4*u - u - 9 = 0. Suppose 0 = m + u*m. Factor -4/3*o**3 + 0*o**2 - 2/3*o**5 + 0 + m*o + 2*o**4.
-2*o**3*(o - 2)*(o - 1)/3
Let m be -2*1/(-4) - 0/(-2). Suppose -1 - m*o - 5/2*o**3 + 4*o**2 = 0. What is o?
-2/5, 1
Let y(b) be the first derivative of -b**4/4 + 4*b**3/3 - 1. Determine v so that y(v) = 0.
0, 4
Let j(q) be the second derivative of q**4/78 + q**3/39 + 2*q - 38. Suppose j(r) = 0. What is r?
-1, 0
Let c = -3 - -3. Let u(q) be the second derivative of -q + 1/6*q**4 + 0*q**3 + c + 0*q**2. What is d in u(d) = 0?
0
Find b such that 0*b + 0 + 9/10*b**2 + 3/5*b**3 + 1/10*b**4 = 0.
-3, 0
Factor -2/7*a**3 + 0*a + 0 + 2/7*a**2.
-2*a**2*(a - 1)/7
Suppose x + 16 = 2*x. Suppose 2*l + x = 6*l + 4*m, l = -4*m + 4. Let -l - 2*v + 4 + 2*v**2 = 0. What is v?
0, 1
Let u(x) be the second derivative of x**6/150 - x**5/100 - x**4/60 + x**3/30 + 6*x. Determine p, given that u(p) = 0.
-1, 0, 1
Let v(c) be the first derivative of 0*c**2 + 3*c - 2/3*c**3 + 3. Let i(k) = 10*k**2 - 16. Let j(s) = -3*i(s) - 16*v(s). Let j(p) = 0. What is p?
0
Let k = 149 + -1041/7. Factor -k*l**2 + 2/7 + 0*l.
-2*(l - 1)*(l + 1)/7
Let b(h) = 2*h**2 + 2*h + 6. Let v(j) = 2*j**2 + j + 5. Let o(t) = -5*b(t) + 6*v(t). Suppose o(n) = 0. Calculate n.
0, 2
Let i(l) be the first derivative of l**9/4032 + l**8/1120 + l**7/1120 + 2*l**3/3 + 5. Let a(n) be the third derivative of i(n). Factor a(r).
3*r**3*(r + 1)**2/4
Let j(d) be the first derivative of -d**6/105 + d**5/35 - 2*d**3/21 + d**2/7 + d - 4. Let k(n) be the first derivative of j(n). Solve k(q) = 0.
-1, 1
Suppose 9*k - 7*k = 0. Let t(w) be the third derivative of 0*w - 1/12*w**4 + 1/60*w**5 + 0*w**3 + k + 3*w**2. Suppose t(c) = 0. What is c?
0, 2
Factor -6*g**3 + 0*g - 7/2*g**4 + 0 + 2*g**2.
-g**2*(g + 2)*(7*g - 2)/2
Suppose -3 = -w - 3*j, 3*j - 37 = -4*w + 11. Factor l**2 + 9*l + 7*l - w*l.
l*(l + 1)
Let p(n) be the third derivative of n**8/462 + 3*n**7/385 + n**6/110 + n**5/330 - 2*n**2 - 12. Factor p(i).
2*i**2*(i + 1)**2*(4*i + 1)/11
Let s(p) be the second derivative of -p**5/30 - 7*p**4/18 + p**3/9 + 7*p**2/3 - 5*p. Factor s(r).
-2*(r - 1)*(r + 1)*(r + 7)/3
Let r = 138 + -138. Let f(p) be the third derivative of -1/390*p**5 + 0*p + 1/78*p**4 - 1/39*p**3 + r + p**2. Factor f(s).
-2*(s - 1)**2/13
Let l(s) = 4*s - 4. Let h be l(2). Let f be (-144)/45*1/(-2). Suppose 2/5*m + 6/5*m**5 - 12/5*m**2 - 8/5*m**3 + f*m**h + 4/5 = 0. What is m?
-1, 2/3, 1
Let r(x) be the second derivative of -x**6/165 + x**4/66 - 5*x. Let r(q) = 0. Calculate q.
-1, 0, 1
Let n(v) be the second derivative of 0*v**2 + 0 + 0*v**3 - 2*v + 1/30*v**5 + 0*v**4. Factor n(l).
2*l**3/3
Let x(k) be the second derivative of k**6/315 - k**4/42 + 2*k**3/63 + 25*k. Factor x(p).
2*p*(p - 1)**2*(p + 2)/21
Suppose -6 + f - 4*f + 6 - 4 + f**2 = 0. What is f?
-1, 4
Suppose -2*g + 3*b + 13 = 0, b + 3*b = 3*g - 18. What is w in -4*w**2 + w**3 + 0*w + w**2 + g*w = 0?
0, 1, 2
Let v(w) = -w**3 - w**2 - w + 1. Let p(s) = -4*s**3 - 36*s**2 + 144*s - 244. Let l(x) = p(x) - 6*v(x). Determine c so that l(c) = 0.
5
Let p(x) = 4*x**2 + 2*x + 1. Suppose -2*h = -4*n + 6, 20 = -4*n - 4*h - 4. Let t be p(n). Factor 15*a**4 + 9*a**4 + 18*a**t - 10*a**4 + 4*a**2.
2*a**2*(a + 1)*(7*a + 2)
Let v(c) be the third derivative of 4*c**2 + 2/21*c**3 - 1/42*c**4 + 0 - 1/105*c**5 + 1/210*c**6 + 0*c. Find j such that v(j) = 0.
-1, 1
Suppose m + 26 = -l + 5*l, -3*l + m = -19. Let d = l + -5. Solve 0 + 1/2*o + o**d = 0 for o.
-1/2, 0
Let i(t) = -2*t**2 + t. Let m be i(1). Let j be m/(-2 - (-13)/7). Factor 5*p + p - 9*p**3 - j*p**2 - 4*p.
-p*(p + 1)*(9*p - 2)
Let f(i) be the third derivative of -i**8/1680 - i**7/525 - i**6/600 - 7*i**2. Let f(t) = 0. What is t?
-1, 0
Suppose -2/9*g**2 + 2/9*g**3 + 8/9 - 8/9*g = 0. Calculate g.
-2, 1, 2
Let x(g) = g**2 + 3*g + 3. Let m be x(-3). Let s be 1/(m/(-2)) - -2. Factor 2/3*z**3 - s - 2/3*z + 4/3*z**2.
2*(z - 1)*(z + 1)*(z + 2)/3
Let y(a) = -8*a**2 - a. Let u be y(-1). Let p be (5/2)/(u/(-4)). Suppose -6/7*k**3 + 2*k**4 + p*k**5 - 4/7*k + 0 - 2*k**2 = 0. Calculate k.
-1, -2/5, 0, 1
Suppose -6*l**3 - 8*l**2 + l**3 + 3*l**3 - 10*l - 4 + 0*l**3 = 0. Calculate l.
-2, -1
Let c(p) = -3*p**4 - p**3 + p**2 - 2*p - 5. Let n(k) = 2*k**4 + k + 3. Let h(g) = 2*g**2 - 2*g - 1. Let b be h(-1). Let y(r) = b*c(r) + 5*n(r). Factor y(z).
z*(z - 1)**3
Suppose 12*k - 20 = 4. Factor -1/5*s**3 + 2/5*s**k + 3/5*s + 0.
-s*(s - 3)*(s + 1)/5
Let r(l) be the second derivative of l**7/840 + l**6/40 + 9*l**5/40 + l**4/2 + l. Let p(s) be the third derivative of r(s). Factor p(d).
3*(d + 3)**2
Let w(y) be the second derivative of -y**7/231 + 9*y. Find m such that w(m) = 0.
0
Let f be -4 - -10 - 456