 20/7*l**2 + 10/7*l + n*l**5 + 10/7*l**4 + 2/7 + 20/7*l**3.
2*(l + 1)**5/7
Let c be 4 + 1 + (1 - 2). Suppose -c = -2*s - 0*s. Factor 1/3*h**s - 1/3*h + 0.
h*(h - 1)/3
Let v = -2087/15 - -699/5. Let -8/3 - 6*f**2 + 2/3*f**3 + v*f**4 + 22/3*f = 0. Calculate f.
-4, 1
Determine p, given that 0*p**4 + 1/2*p**3 + 0 + 0*p + 0*p**2 - 1/2*p**5 = 0.
-1, 0, 1
Let 18/7*p**3 - 2/7 + 2*p - 30/7*p**2 = 0. Calculate p.
1/3, 1
Let x(z) = 8*z**2 + 3*z - 6. Let c(l) = 13*l**2 - 9. Let d(g) = 3*g**2 - 2. Let b(r) = 2*c(r) - 9*d(r). Let o(y) = -5*b(y) - x(y). Factor o(t).
-3*(t - 1)*(t + 2)
Let w(s) be the first derivative of s**7/21 + 4*s**6/15 + 2*s**5/5 - 3*s + 1. Let p(b) be the first derivative of w(b). Factor p(z).
2*z**3*(z + 2)**2
Let t(w) = 15*w + 30. Let a be t(-2). Factor -1/4*b**5 + 0 - 1/4*b + 1/2*b**3 + 0*b**4 + a*b**2.
-b*(b - 1)**2*(b + 1)**2/4
Let t = -762/5 - -154. Factor -8/5*m**2 - 2/5*m**3 - t*m + 0.
-2*m*(m + 2)**2/5
Determine v, given that 19*v - 5*v**2 + 3*v**3 - 12 - 24*v**2 + 11*v**2 + 8*v = 0.
1, 4
Let s be 8*-2*(-1)/4. Find u, given that -u**2 - 3*u**4 + 3*u - 4*u**2 - s*u**2 + 4*u**3 + 5*u**3 = 0.
0, 1
Let t(a) be the first derivative of -a**4/3 - 4*a**3/9 + 4*a**2/3 + 4. Factor t(q).
-4*q*(q - 1)*(q + 2)/3
Let i(c) be the second derivative of 4*c**7/63 + 8*c**6/45 + c**5/30 - 7*c**4/18 - 5*c**3/9 - c**2/3 - 3*c. Determine b so that i(b) = 0.
-1, -1/2, 1
Let h(o) be the second derivative of o**7/42 + 7*o**6/30 + 19*o**5/20 + 25*o**4/12 + 8*o**3/3 + 2*o**2 - 35*o. Suppose h(v) = 0. Calculate v.
-2, -1
Let t be (-4 - -6) + (1 - 0). Let w = 3 + 0. Factor -y**w + 5*y**3 - 2*y**t - 2*y**2.
2*y**2*(y - 1)
Let y(t) be the second derivative of -t**8/1960 + t**7/735 + t**6/1260 - t**5/210 - t**3/6 + t. Let v(g) be the second derivative of y(g). Factor v(b).
-2*b*(b - 1)**2*(3*b + 2)/7
Let r(l) be the second derivative of -3/2*l**2 + 0*l**3 + 1/4*l**4 - l + 0. Factor r(n).
3*(n - 1)*(n + 1)
Let f(v) be the second derivative of -v**6/18 + 49*v**5/120 - 19*v**4/36 + 2*v**3/9 + v + 6. Let f(r) = 0. What is r?
0, 2/5, 1/2, 4
Suppose -25 = 39*j - 44*j. Let z(h) be the third derivative of 0 - 1/24*h**4 - 4*h**2 + 1/120*h**6 + 0*h**j + 0*h**3 + 0*h. Solve z(p) = 0.
-1, 0, 1
Let n(i) be the third derivative of -i**8/10080 + i**5/30 + 3*i**2. Let v(j) be the third derivative of n(j). Factor v(w).
-2*w**2
Factor 0*i + 2/9*i**3 + 2/9*i**4 - 4/9*i**2 + 0.
2*i**2*(i - 1)*(i + 2)/9
Let h(k) = -2*k**3 - 36*k**2 - 106*k - 110. Let o(x) = -x**3 - 36*x**2 - 105*x - 111. Let p(g) = -3*h(g) + 2*o(g). Factor p(y).
4*(y + 3)**3
Let s(t) be the first derivative of -1/2*t**6 - 3/2*t**2 + 2*t**3 + 3/2*t**4 - 3*t + 4 - 3/5*t**5. Factor s(r).
-3*(r - 1)**2*(r + 1)**3
Let u = -22678/25 - -3217598/3525. Let y = -1/141 + u. Factor 2/3 - y*n + 40/3*n**2 - 16/3*n**3.
-(n - 2)*(4*n - 1)**2/3
Let i(j) be the third derivative of j**5/20 - 7*j**4/24 - j**3 + 12*j**2. Factor i(q).
(q - 3)*(3*q + 2)
Let f = -280/3 - -1123/12. Suppose -8 = -3*y - 2. Factor -f*m + 1/4*m**3 + 3/4*m**y - 1/4*m**4 - 1/2.
-(m - 2)*(m - 1)*(m + 1)**2/4
Let s(y) be the third derivative of 0*y**4 + 0 + y**2 + 1/45*y**5 + 1/30*y**6 + 0*y + 1/126*y**7 + 0*y**3. What is p in s(p) = 0?
-2, -2/5, 0
Let a(b) be the second derivative of b**8/1176 - 5*b**2/2 - b. Let r(h) be the first derivative of a(h). Factor r(q).
2*q**5/7
Let u(a) = a**3 + 2*a**2 - 2*a - 3. Let g be u(-2). Let t be g/(-2) + (-525)/(-90). Factor -t*r + 8/3 - 2/3*r**3 + 10/3*r**2.
-2*(r - 2)**2*(r - 1)/3
Factor -5*g**3 + 4*g + 3*g**3 + 4*g.
-2*g*(g - 2)*(g + 2)
Let z(f) = -f**3 + f**2 + f. Let i(x) be the first derivative of -3*x**4/2 - 7*x**3/3 - 4. Let h(q) = 3*i(q) - 6*z(q). Factor h(c).
-3*c*(c + 2)*(4*c + 1)
Suppose 0 = 2*a + a - w - 14, 40 = 5*a - 5*w. Factor a*c**3 + 4 - 5*c**3 - 2*c**2 + 2*c - 2.
-2*(c - 1)*(c + 1)**2
Let z = 11 + -5. Let v = -2 + z. Determine q, given that q**2 - 2 + 8*q - 5*q + q**v + 0*q**3 - 3*q**3 = 0.
-1, 1, 2
Let s(l) = -7*l**3 - 16*l**2 - 11*l - 2. Let q(p) = -p**3 - p**2 + p + 1. Let a(r) = -4*q(r) + s(r). Determine w so that a(w) = 0.
-2, -1
Let h(t) = 2*t**2 - t - 1. Let o be h(-1). Factor 2*i + 0*i - 2*i**3 - o*i**3 + 2*i**5.
2*i*(i - 1)**2*(i + 1)**2
Let z(n) be the second derivative of -n**6/15 - n**5/10 + n**4/2 + n**3/3 - 2*n**2 - 3*n. Determine h, given that z(h) = 0.
-2, -1, 1
Let a(p) be the third derivative of 7*p**6/240 + p**5/16 - p**4/8 + p**3/3 - 5*p**2. Let j(t) be the first derivative of a(t). Factor j(n).
3*(n + 1)*(7*n - 2)/2
Let s = 80/93 + -6/31. Let m(h) be the first derivative of 1/15*h**5 + 1/3*h + 2/3*h**3 + s*h**2 + 4 + 1/3*h**4. Let m(y) = 0. Calculate y.
-1
Let p be 226/(-78) + 4 + -1. Let l = p + 3/13. Factor -1/3 - l*x**5 - 2/3*x**3 - 2/3*x**2 + x + x**4.
-(x - 1)**4*(x + 1)/3
Let a(f) be the third derivative of f**5/90 - f**4/9 + f**3/3 - 6*f**2. Factor a(z).
2*(z - 3)*(z - 1)/3
Let g = -44 - -49. Let o(b) be the second derivative of 1/30*b**3 + 0*b**2 - 1/100*b**g + b - 1/150*b**6 + 0 + 1/60*b**4. Factor o(s).
-s*(s - 1)*(s + 1)**2/5
Suppose -p + 12 = 5*p. Solve -38*x + 76*x + x**p - 40*x = 0.
0, 2
Solve 16/7 + 12/7*k**2 + 2/7*k**3 + 24/7*k = 0.
-2
Let u be 6/(2 - -4) + (-4)/6. Factor 1/3 - u*k**2 + 1/3*k - 1/3*k**3.
-(k - 1)*(k + 1)**2/3
Determine k, given that -1 + 1/2*k**3 - 1/2*k + k**2 = 0.
-2, -1, 1
Let l = 17 + -16. Let k(i) be the first derivative of l - 3*i**2 - 2/3*i**3 - 4*i. Determine a, given that k(a) = 0.
-2, -1
Let i be -1 + 9/(0 + 1). Let j be -6*(4/i - 1). What is y in -2/5*y + 0 + 0*y**2 + 2/5*y**j = 0?
-1, 0, 1
Let h(s) = -s**2 - 4*s - 1. Let i(g) = -g**3 - 8*g**2 - 2. Let q be i(-8). Let m(v) = 4*v**2 + 17*v + 4. Let j(y) = q*m(y) - 9*h(y). Find b such that j(b) = 0.
-1
Let t be (0 - -1) + (-8)/(16/(-6)). Factor 0*v + 2/3*v**t - 2/3*v**3 - 4/3*v**2 + 0.
2*v**2*(v - 2)*(v + 1)/3
Let v(m) be the second derivative of 1/42*m**7 - 1/30*m**6 + m + 0*m**2 - 1/20*m**5 + 1/12*m**4 + 0*m**3 + 0. Factor v(r).
r**2*(r - 1)**2*(r + 1)
Let d(m) = -m**3 + 4*m**2 - 4*m + 3. Let s be d(3). Suppose -3*t + 6*t - 6 = s. What is f in -2/9*f**t + 0*f + 2/9 = 0?
-1, 1
Let z(c) = -2*c**4 - 18*c**3 - 15*c**2 - 2*c + 3. Let v(x) = 25*x**4 + 235*x**3 + 195*x**2 + 25*x - 40. Let w(s) = -3*v(s) - 40*z(s). Factor w(j).
5*j*(j + 1)**3
Factor 38 - i**4 - 3*i**4 - 12*i**2 - 38 - 16*i**3.
-4*i**2*(i + 1)*(i + 3)
Let n(r) be the third derivative of -r**7/105 + r**6/10 - 3*r**5/10 - 17*r**2. Factor n(g).
-2*g**2*(g - 3)**2
Let f be 101/11 + 8/(-44). Let w be (-26)/(-24) - f/12. Suppose w*a + 0 + 1/3*a**2 = 0. Calculate a.
-1, 0
Suppose h = 4, 2*h = -3*g + 41 - 18. Factor g - 3 - 2*c**3 - c**2 + 7*c**2 - 6*c.
-2*(c - 1)**3
Let n = -595/4 - -149. Let l be -2*(-1)/2 - -1. Find z, given that z + n + z**l = 0.
-1/2
Suppose m + 6 = 3*m. Let s(p) be the third derivative of 0 + 0*p - 5/12*p**4 + p**2 - 1/20*p**6 - 1/3*p**m - 7/30*p**5. Factor s(v).
-2*(v + 1)**2*(3*v + 1)
Let a be (-3 - -3) + 87/44. Let i = a - -3/11. Determine y, given that 0 + 3/4*y - i*y**2 - 3/4*y**4 + 9/4*y**3 = 0.
0, 1
Let r(g) be the second derivative of -g**7/140 - g**6/40 + g**5/40 + g**4/8 - 2*g**2 + 3*g. Let p(h) be the first derivative of r(h). Let p(w) = 0. Calculate w.
-2, -1, 0, 1
Suppose -2*s + 3*c - 3 = -6, -5*c = 15. Let y(j) = -j + 2. Let h be y(s). Suppose -q + h*q**3 + q**4 + 3*q - 7*q**5 - 10*q**4 + 9*q**2 = 0. Calculate q.
-1, -2/7, 0, 1
Let c(o) = 6*o**2 + o - 2. Let n be c(-1). Factor 3/4*f**n - 1 - 2*f - 1/4*f**2.
(f - 2)*(f + 1)*(3*f + 2)/4
Let o be 320/420 - (-4)/42. Find f such that o*f**2 + 0 - 2/7*f + 2/7*f**4 - 6/7*f**3 = 0.
0, 1
Let w(a) be the first derivative of -a**4/2 + 3*a**2 - 4*a + 5. Factor w(j).
-2*(j - 1)**2*(j + 2)
Suppose 0 = -3*a + 4*a - 0*a. Find q such that a + 2/5*q + 2/5*q**2 = 0.
-1, 0
Let a be (-3)/(27/15) + 2. Suppose 10 = 3*q + 2*i, -11 - 9 = q - 4*i. Factor -a*p**3 + 0 + q*p**2 + 1/3*p**4 + 0*p.
p**3*(p - 1)/3
Let u be (4/6)/((-6)/(-54)). Let o = u - 3. Find c such that -o*c - 4 + 2 - c - 2*c**2 + 0*c = 0.
-1
Factor -51*s**2 - 8*s - 125*s**2 + 28*s**3 - 72 + 193*s + 115*s.
4*(s - 3)**2*(7*s - 2)
Let t(q) = -q**2 + 34*q + 113. Let r be t(37). Find l, given that 0 - 1/4*l**4 - 1/2*l + 0*l**3 + 3/4*l**r = 0.
-2, 0, 1
Suppose 0*c + 0*c**2 + 0*c**4 + 0 + 2/11*c**5 - 2/11*c**3 = 0. Cal