or l(m).
-m*(m - 1)**2*(m + 1)/2
Let l(q) = q**3 + q**2 - 2*q + 1. Let u be l(-3). Let w = -11 - u. Factor 2/5*r**4 + 0 + 1/5*r**5 - 1/5*r - 2/5*r**2 + w*r**3.
r*(r - 1)*(r + 1)**3/5
Let y(d) = d - 4. Let x be y(6). Solve -3*p + 3*p + 2*p**x + 2*p = 0 for p.
-1, 0
Let q(x) = x**3 + 10*x**2 + 9*x - 10. Let d be q(-9). Let i be (6/(-20))/(12/d). Factor 0*b + i*b**3 + 1/4*b**2 + 0.
b**2*(b + 1)/4
Let l(a) be the first derivative of -a**3/9 - 4*a**2/3 - 16*a/3 - 3. Factor l(m).
-(m + 4)**2/3
Suppose 5*n - 10 = 0, 0*n + 5*n + 8 = 2*s. Find g such that -3 + s*g + 3*g**2 + 9*g - 5*g - 12*g**3 - g = 0.
-1, 1/4, 1
Let g(p) be the first derivative of -p**4/36 - p**3/3 - 3*p**2/2 - 3*p + 4. Let l(o) be the first derivative of g(o). Factor l(u).
-(u + 3)**2/3
Let k(s) be the first derivative of s**8/1680 - s**6/360 - 2*s**3/3 + 1. Let b(u) be the third derivative of k(u). Determine q, given that b(q) = 0.
-1, 0, 1
Let z be (136/(-36))/1 - -4. Determine n so that 4/9*n + z + 2/9*n**2 = 0.
-1
Let o(m) be the first derivative of m**6/15 + 4*m**5/25 + m**4/10 + 48. Factor o(j).
2*j**3*(j + 1)**2/5
Factor -4/3 - 35/3*r**2 - 8*r.
-(5*r + 2)*(7*r + 2)/3
Let u(n) = -n**2 + 3*n + 18. Let o be u(6). Let m(i) be the first derivative of 3*i**5 - 3/2*i**4 + 7/2*i**6 + o*i**2 - 3 + 0*i**3 + 0*i. Factor m(r).
3*r**3*(r + 1)*(7*r - 2)
Let r = 339275/2751 - -5/917. Let i = r - 122. Factor -2/3*v**2 - i*v**3 - 2/3*v**4 + 0 + 0*v.
-2*v**2*(v + 1)**2/3
Let c(t) = t**5 + t**3 - t**2 - 1. Let s(n) = 3*n**5 + 12*n**4 - 9*n**3 + 6. Let z(y) = -6*c(y) - s(y). Factor z(w).
-3*w**2*(w + 1)**2*(3*w - 2)
Suppose 4/7*a**2 - 2/7*a + 0 - 2/7*a**3 = 0. Calculate a.
0, 1
Let h(t) = -2*t**4 + 6*t**3 + t**2 + 2*t + 2. Let z(v) = -v**4 + 7*v**3 + 2*v**2 + 3*v + 3. Let q(u) = 3*h(u) - 2*z(u). Let q(r) = 0. Calculate r.
0, 1/2
Let x = 10 - 5. Let t = 1 + x. Find n, given that 0*n**2 - n**2 - n**2 - 4*n**4 + t*n**5 + 6*n**4 - 6*n**3 = 0.
-1, -1/3, 0, 1
Factor 2*d**2 + 120/13*d - 20/13*d**3 + 2/13*d**4 + 72/13.
2*(d - 6)**2*(d + 1)**2/13
Let w be 1/(2*(-2)/12) + 6. Factor -1/4 - 3/4*q - 1/4*q**w - 3/4*q**2.
-(q + 1)**3/4
Let k(q) be the third derivative of -3*q**7/35 - q**6/5 + q**5/15 + q**4/3 - q**3/3 + 3*q**2. Factor k(m).
-2*(m + 1)**2*(3*m - 1)**2
Let z(s) be the second derivative of -s**6/6 + s**5 - 25*s**4/12 + 5*s**3/3 + 19*s. Let z(l) = 0. Calculate l.
0, 1, 2
Let g(s) = -s**4 + 13*s**3 - 12*s**2 + 26*s - 8. Let o(r) = -r**4 + 14*r**3 - 11*r**2 + 27*r - 8. Let l(z) = 7*g(z) - 6*o(z). Factor l(q).
-(q - 2)**3*(q - 1)
Let j(r) be the second derivative of -r**5/40 - r**4/6 - r**3/4 + 15*r. Factor j(z).
-z*(z + 1)*(z + 3)/2
Let i = -1414 + 1416. Solve 1/7*j**3 + 1/7*j**4 - 1/7*j + 2/7 - 3/7*j**i = 0.
-2, -1, 1
Let v(j) be the second derivative of 0 + 5*j + 0*j**2 + 1/27*j**4 - 1/90*j**5 - 1/27*j**3. Suppose v(w) = 0. What is w?
0, 1
Let c(b) = b**2 + b + 1. Let i = 8 - 10. Let z(u) = -u**4 - 5*u - 3. Let g(w) = i*z(w) - 6*c(w). Suppose g(x) = 0. Calculate x.
-2, 0, 1
Suppose 26 = 11*y + 4. Let g(n) be the second derivative of -1/8*n**2 + 1/12*n**3 + y*n + 0 - 1/48*n**4. Factor g(d).
-(d - 1)**2/4
Let q(p) be the third derivative of -p**6/30 - 2*p**5/15 - p**4/6 + 30*p**2. Determine d, given that q(d) = 0.
-1, 0
Let y(t) be the third derivative of -7*t**8/216 - 4*t**7/135 + 16*t**6/45 + 56*t**5/135 + 4*t**4/27 - 3*t**2 - 6*t. Let y(s) = 0. Calculate s.
-2, -2/7, 0, 2
Let c = 3/370 - -1941/185. Determine d, given that 51*d**3 + 24*d**2 + 39*d**4 + c*d**5 - 3/2*d - 3 = 0.
-1, 2/7
Let z(m) be the first derivative of -2*m**3/27 + 2*m/9 - 30. Let z(n) = 0. What is n?
-1, 1
Let u(z) be the first derivative of 0*z + 0*z**2 - 6 - 2/27*z**3 - 1/6*z**4. Factor u(s).
-2*s**2*(3*s + 1)/9
Let k be (2/((-2)/1))/(51/(-102)). Suppose -3/5*z**3 + 0*z + 6/5*z**k + 0 = 0. What is z?
0, 2
Let y = 31 + 17. Factor 2*v**4 + y*v**2 + 11*v**4 - 8*v**4 + 16*v + 28*v**3 - 16.
(v + 2)**3*(5*v - 2)
Let q(n) be the third derivative of n**10/100800 - n**8/4480 + n**7/1680 + n**5/15 + 4*n**2. Let b(y) be the third derivative of q(y). Let b(k) = 0. What is k?
-2, 0, 1
Let s = 9 + -6. Suppose 4*i + s*l - 20 = 0, 4*l + 0 = 2*i - 10. Find v such that -2/9*v**4 + 2/3*v**3 - 2/9*v**i + 2/9*v**2 + 0 - 4/9*v = 0.
-2, -1, 0, 1
Let a(w) be the second derivative of -w**9/5040 + w**8/2240 + w**7/840 - w**6/240 - w**4/2 + 6*w. Let p(j) be the third derivative of a(j). Factor p(b).
-3*b*(b - 1)**2*(b + 1)
Factor 64/5 + 52/5*y**2 + 1/5*y**4 + 96/5*y + 12/5*y**3.
(y + 2)**2*(y + 4)**2/5
Let a(i) = 6*i**2 - 3*i - 5. Let h(o) = -o**2 + o + 1. Let j(w) = -3*a(w) - 15*h(w). Factor j(m).
-3*m*(m + 2)
Let n = 5 + -5. Suppose b - 5*c - 8 = n, 5*b + 3*c = 10 + 2. Determine u so that -2/3*u**2 - 2/3*u + 2/3*u**b + 2/3 = 0.
-1, 1
Let j(b) be the second derivative of b**7/735 - b**5/210 + 7*b**2/2 - 5*b. Let i(m) be the first derivative of j(m). Factor i(d).
2*d**2*(d - 1)*(d + 1)/7
Factor 1 + 9/4*t + 3/2*t**2 + 1/4*t**3.
(t + 1)**2*(t + 4)/4
Let p(i) be the first derivative of 3*i**5/5 + 15*i**4/4 + 7*i**3 + 9*i**2/2 - 5. Factor p(s).
3*s*(s + 1)**2*(s + 3)
Let n(t) be the second derivative of t**6/15 + 9*t. Factor n(k).
2*k**4
Find s such that 5/3*s**2 - 1/3*s**3 - 7/3*s + 1 = 0.
1, 3
Let w(n) be the third derivative of -n**8/12 + 9*n**7/70 + 59*n**6/120 - n**4/6 - 16*n**2. Find g such that w(g) = 0.
-1, -2/7, 0, 1/4, 2
Let s(t) be the second derivative of t**6/30 - 11*t**5/10 + 97*t**4/12 + 44*t**3 + 72*t**2 + 26*t. Let s(y) = 0. What is y?
-1, 12
Let z be ((112/(-20))/7)/(2/(-15)). Factor -14/3*k**3 + 0 - 4/3*k - z*k**2.
-2*k*(k + 1)*(7*k + 2)/3
Let i(r) be the first derivative of -r**6/90 + r**5/15 - 5*r**4/36 + r**3/9 + 2*r - 6. Let n(z) be the first derivative of i(z). Factor n(k).
-k*(k - 2)*(k - 1)**2/3
Let m(i) be the second derivative of -1/5*i**2 - 1/15*i**3 + 2*i + 1/30*i**4 + 1/50*i**5 + 0. Factor m(k).
2*(k - 1)*(k + 1)**2/5
Let x(s) be the third derivative of -s**8/2856 + 4*s**7/1785 - s**6/255 - s**5/255 + 5*s**4/204 - 2*s**3/51 - 15*s**2. What is b in x(b) = 0?
-1, 1, 2
Find y such that -10*y**4 - 27*y**3 + 19*y**4 + 12*y**5 - y + y + 6*y**2 = 0.
-2, 0, 1/4, 1
Let r be 14/35 - (-1428)/15. Let w = r - 1837/20. Factor -3/4*y**5 - 15/4*y**4 - w*y - 3/4 - 15/2*y**2 - 15/2*y**3.
-3*(y + 1)**5/4
Suppose 0 = -2*y - 2*y + 24. Suppose -2*k - 3*l + 5*l - y = 0, 20 = 4*l. Factor -5/4*d**k + 1/2*d + 0.
-d*(5*d - 2)/4
Let n(m) be the first derivative of -3/2*m**2 + 3/4*m**4 - 3/5*m**5 + 1 + 3*m**3 - 6*m. Determine a, given that n(a) = 0.
-1, 1, 2
Let n(m) = -7*m**5 - 4*m**4 + m**3 - 8*m**2 - 6. Let k(z) = 6*z**5 + 3*z**4 - z**3 + 7*z**2 + 5. Let v(x) = -6*k(x) - 5*n(x). Factor v(y).
-y**2*(y - 2)*(y - 1)*(y + 1)
Find b such that -8/9 + 4/9*b**4 + 20/9*b - 4/9*b**3 - 4/3*b**2 = 0.
-2, 1
Factor -3/5 + 3/5*g**3 + 3/5*g**2 - 3/5*g.
3*(g - 1)*(g + 1)**2/5
Let o = -4 + 3. Let y = o - -3. Factor -2*c**2 - 2*c - y - c - c.
-2*(c + 1)**2
Let s(i) be the third derivative of 0*i**4 + 0*i + 0*i**3 - 1/140*i**7 - 1/160*i**6 + 0*i**5 - 6*i**2 + 0 - 1/448*i**8. Factor s(t).
-3*t**3*(t + 1)**2/4
Factor 2/15*h**4 - 2/15*h + 0 + 2/15*h**3 - 2/15*h**2.
2*h*(h - 1)*(h + 1)**2/15
Let s(u) be the third derivative of u**5/70 + u**4/84 - 2*u**3/21 - 2*u**2. Find m, given that s(m) = 0.
-1, 2/3
Suppose 3 = -m + 11. Let f = m - 6. Factor -1/4*p**f + 0 + 0*p - 1/2*p**3.
-p**2*(2*p + 1)/4
Suppose -4*c + c + 28 = -2*p, -3*c + 3*p + 30 = 0. Let x = c - 8. Suppose x*t**2 - 4/7*t**4 + 2/7*t**3 + 2/7*t**5 + 0 + 0*t = 0. What is t?
0, 1
Let a = -9 - -9. Let p(d) be the third derivative of 0*d**4 + 0*d + 0*d**6 + 1/210*d**7 + 1/6*d**3 - 3*d**2 + a - 1/30*d**5. Let p(h) = 0. Calculate h.
-1, 1
Let o be ((-9)/6)/(45/(-12)). Factor 2/5*g - 4/5 + o*g**2.
2*(g - 1)*(g + 2)/5
Let k(m) be the first derivative of 2*m**5/25 - m**4/10 - 2*m**3/15 + m**2/5 + 6. Factor k(o).
2*o*(o - 1)**2*(o + 1)/5
Let t = 9 + -5. Suppose -s**5 - s + 6*s**4 + 2*s**t + 5*s**5 - 8*s**2 - 3*s = 0. Calculate s.
-1, 0, 1
Let v(r) be the second derivative of -r**5/40 - r**4/24 + r**3/12 + r**2/4 + 5*r. Determine i so that v(i) = 0.
-1, 1
Suppose -5*g = 2*g - 35. What is b in -10/3*b - 20/3*b**3 + 2/3 + 10/3*b**4 + 20/3*b**2 - 2/3*b**g = 0?
1
Find c such that -4/5*c + 7/5*c**5 - 2/5*c**4 + 4*c**2 + 0 - 21/5*