28 - d**6/15 + 13*d**5/40 + d**4/4 - 5*d**3/3 + 2*d**2 - 20*d. Let w(x) = 0. Calculate x.
-2, 2/3, 1
Find h such that -11/5*h - 2/5 - 18/5*h**2 - 4/5*h**3 + 8/5*h**4 = 0.
-1/2, 2
Let l be ((-4)/(-18) - (-529)/(-2691))*6. Factor -12/13*f**3 - l*f - 2/13*f**5 + 8/13*f**4 + 0 + 8/13*f**2.
-2*f*(f - 1)**4/13
Let n(g) = -2*g**2 + 10*g - 9. Let h(t) = 10*t**2 - 50*t + 46. Let k(f) = 3*h(f) + 14*n(f). Factor k(j).
2*(j - 3)*(j - 2)
Let h(f) be the second derivative of f**2 + 0 + 1/20*f**5 - 1/6*f**3 - 4*f - 1/6*f**4. Solve h(u) = 0.
-1, 1, 2
Let u = -27/2 + 14. Suppose 0 = 3*f + 2*n, 4*f - n - 10 = 1. What is r in 1/4*r**5 - 1/4*r - 1/2*r**4 + 0 + u*r**f + 0*r**3 = 0?
-1, 0, 1
Let w(i) be the second derivative of i**8/3360 - i**6/240 - i**5/120 - i**3/3 - 4*i. Let r(g) be the second derivative of w(g). Find q such that r(q) = 0.
-1, 0, 2
Let j = -795/94 + -2/47. Let q = j + 9. Factor i + 0 - q*i**2.
-i*(i - 2)/2
Let s(k) be the third derivative of -k**5/150 + k**4/10 - 3*k**3/5 - 8*k**2. Factor s(i).
-2*(i - 3)**2/5
Let a = 103/5 + -711/35. Determine q, given that 12/7*q**3 + 8/7*q**2 + 0 + a*q**5 + 2/7*q + 8/7*q**4 = 0.
-1, 0
Let r(f) be the first derivative of f**8/840 - f**7/210 + f**6/180 - f**3/3 + 2. Let j(z) be the third derivative of r(z). Find x, given that j(x) = 0.
0, 1
Let x(z) be the third derivative of -z**7/210 + z**6/60 - 2*z**2. Factor x(w).
-w**3*(w - 2)
Suppose -1 = -3*n + 2. Let k be -1*((-3)/3 + n). Factor k*z - 3/4*z**3 - 1/4*z**5 + 3/4*z**4 + 1/4*z**2 + 0.
-z**2*(z - 1)**3/4
Let a(h) be the first derivative of -1 + 0*h**4 + 0*h**2 - 1/12*h**6 + 0*h + 1/10*h**5 + 0*h**3. Determine c so that a(c) = 0.
0, 1
Factor 5*l - 23*l + 2*l**3 + 2*l**5 + 4 + 8*l - 8*l**4 + 6*l**3 + 4*l**2.
2*(l - 2)*(l - 1)**3*(l + 1)
Let y(r) be the second derivative of 7*r**6/120 + 23*r**5/60 + 5*r**4/6 + 2*r**3/3 + r**2 + 4*r. Let n(u) be the first derivative of y(u). Solve n(d) = 0.
-2, -1, -2/7
Find b, given that 15*b + 51/2*b**2 - 63/4*b**3 - 6 = 0.
-2/3, 2/7, 2
Let u(j) be the third derivative of 0*j + 0*j**4 - 1/60*j**5 + 0 + 1/210*j**7 + 3*j**2 + 1/336*j**8 - 1/120*j**6 + 0*j**3. Factor u(z).
z**2*(z - 1)*(z + 1)**2
Let f(l) be the second derivative of -1/6*l**4 - 1/15*l**6 - 4*l + 0*l**3 + 0*l**2 + 1/5*l**5 + 0. Suppose f(u) = 0. Calculate u.
0, 1
Let y(v) = v**2 + 12*v - 25. Let t be y(-14). Suppose 0 = 2*i + t*i. Suppose i - 4/7*j**2 + 2/7*j**3 + 0*j + 6/7*j**4 = 0. What is j?
-1, 0, 2/3
Let q(h) be the first derivative of -2/3*h**6 + 2 + h**4 + 0*h**5 + 0*h + 0*h**3 + 0*h**2. Factor q(v).
-4*v**3*(v - 1)*(v + 1)
Let i(c) be the second derivative of 2*c**7/21 + 4*c**6/15 - 3*c**5/5 - 4*c**4/3 + 8*c**3/3 + 2*c. What is l in i(l) = 0?
-2, 0, 1
Let z(i) be the first derivative of -1/2*i**4 - 6 - 4/3*i**3 + 0*i + 0*i**2 + 6/5*i**5. Suppose z(k) = 0. What is k?
-2/3, 0, 1
Let o = 18 - 13. Let s = o - 5. Factor 0*m**2 + s*m + 0 + 0*m**3 - 1/2*m**4 + 1/2*m**5.
m**4*(m - 1)/2
Let j(v) be the second derivative of -v**5/110 - v**4/66 + v**3/33 + v**2/11 - 7*v. Factor j(q).
-2*(q - 1)*(q + 1)**2/11
Let j(c) be the first derivative of 4*c**3/3 - 4*c**2 - 12*c + 9. Factor j(i).
4*(i - 3)*(i + 1)
Let o = -295/2 + 152. Find s such that -o*s**3 - 21/2*s**5 + 0 + 0*s - 18*s**4 + 3*s**2 = 0.
-1, 0, 2/7
Let b(j) be the first derivative of 0*j**4 + 1/30*j**6 + j - 2 + 0*j**2 + 1/40*j**5 + 0*j**3. Let z(f) be the first derivative of b(f). Factor z(g).
g**3*(2*g + 1)/2
Let m(b) be the third derivative of -b**8/588 + 2*b**7/245 + b**6/105 - 4*b**5/35 + 4*b**4/21 - 15*b**2. Let m(h) = 0. Calculate h.
-2, 0, 1, 2
Suppose w + 4*t - 10 + 30 = 0, 2*w + 13 = t. Let p = w + 11. Determine s so that p*s**4 + 3*s**3 - 12*s**2 - 3/2*s**5 + 21/2*s - 3 = 0.
-2, 1
Let o(s) = s**3 - 10*s**2 - s + 12. Let w be o(10). Suppose 4*r**2 - 2*r**2 + 0*r + 6*r - w*r = 0. What is r?
-2, 0
What is r in 4/5*r - 2*r**4 + 0 + 2*r**2 - 4/5*r**3 = 0?
-1, -2/5, 0, 1
Let i(l) be the first derivative of l**5/2 - 5*l**3/2 + 5*l**2/2 - 30. Factor i(h).
5*h*(h - 1)**2*(h + 2)/2
Let d(k) = -3 + 2*k**3 - 6*k**2 + 7 - 3*k**3. Let y be d(-6). Factor -2*q - 2*q**2 - y + 4.
-2*q*(q + 1)
Let 1/3*c**3 + 5*c + 0 - 8/3*c**2 = 0. Calculate c.
0, 3, 5
Let b(q) = -7*q**2 - 4*q + 2. Let l(u) = 6*u**2 + 4*u - 1. Let j(y) = -5*b(y) - 6*l(y). Determine m so that j(m) = 0.
-2
Let r be (3/5)/(99/330). Factor 2/5*x**r - 2/5*x + 0.
2*x*(x - 1)/5
Let a(k) = k**3 + 83*k**2 - 443*k + 743. Let l(j) = j**3 + 41*j**2 - 221*j + 371. Let z(y) = -4*a(y) + 7*l(y). Factor z(r).
3*(r - 5)**3
Let c(u) be the third derivative of -u**7/1155 + u**6/660 + u**5/110 - 5*u**4/132 + 2*u**3/33 - 2*u**2. Solve c(j) = 0 for j.
-2, 1
Let r be (-3 + 2)*-1*3. Suppose -2*s + 4*x = 0, 4*x + 3 + 1 = r*s. Find n, given that 4*n**3 + n**2 - 2*n**2 - n**s - 3*n**2 = 0.
0, 2
Let -5*a**2 - 5 + 10*a**2 + a + 5*a**3 - 6*a = 0. Calculate a.
-1, 1
Let x be ((-32)/(-14) - 2)*119/51. Let 2/3*p**2 + 0*p - x = 0. Calculate p.
-1, 1
Let x be 154/35 + (-4)/10. Suppose 7*z - x*z = 9. Let 0 - 1/4*o - 1/4*o**z - 1/2*o**2 = 0. What is o?
-1, 0
Let p(i) = 4*i**2 - 6*i + 4. Let f(m) be the third derivative of 3*m**5/20 - m**4/2 + 4*m**3/3 - 2*m**2. Let u(d) = -2*f(d) + 5*p(d). Factor u(k).
2*(k - 2)*(k - 1)
Let g(f) be the third derivative of -1/75*f**5 + 5*f**2 + 0*f**3 + 0*f + 1/30*f**4 + 0 + 1/600*f**6. Factor g(q).
q*(q - 2)**2/5
Let l(u) be the second derivative of 6*u - 1/6*u**4 - 1/42*u**7 + 0*u**3 + 0*u**6 + 0 + 3/20*u**5 + 0*u**2. Factor l(w).
-w**2*(w - 1)**2*(w + 2)
Suppose -2/5*h + 4/5*h**2 + 2/5*h**3 - 4/5 = 0. What is h?
-2, -1, 1
Let a(j) be the second derivative of 3*j**5/100 + 3*j**4/20 + j**3/5 + 5*j. Factor a(m).
3*m*(m + 1)*(m + 2)/5
Let t be ((-9)/(-6))/((-1)/(-2)). Let i = 28 - 194/7. Factor 6/7*j**2 - 2/7*j - 6/7*j**t + i*j**4 + 0.
2*j*(j - 1)**3/7
Let l(z) be the first derivative of 0*z - 1/9*z**2 + 2/27*z**3 + 3. Determine t, given that l(t) = 0.
0, 1
Factor 0 + 8/7*d**4 + 4/7*d**5 - 4/7*d - 8/7*d**2 + 0*d**3.
4*d*(d - 1)*(d + 1)**3/7
Factor 2/5*f**4 + 0 - 3/5*f**2 - 3/5*f**3 + 2/5*f.
f*(f - 2)*(f + 1)*(2*f - 1)/5
Let b(x) = x**3 + x**2 + 2*x. Let r(w) = 2*w**3 + 2*w**2 + 5*w. Let s(u) = 9*b(u) - 4*r(u). Factor s(p).
p*(p - 1)*(p + 2)
Let l(c) be the first derivative of -c**6/3 - 4*c**5/5 - 10. Solve l(r) = 0.
-2, 0
Let g be 138/115*(-10)/(-4). Let v(u) be the first derivative of 8/9*u - 4/9*u**2 + 2/27*u**3 + g. Suppose v(k) = 0. Calculate k.
2
Let y be 248/15 - (-1 - 6/(-5)). Let s(w) be the first derivative of 0*w**2 + 0*w - 1 - y*w**6 - 8/3*w**3 - 16*w**4 - 154/5*w**5. Solve s(f) = 0 for f.
-1, -2/7, 0
Factor -3*x**2 - 4*x**2 + 11*x**2 - 16.
4*(x - 2)*(x + 2)
Let r(d) be the first derivative of -d**5/60 + d**4/4 - 3*d**3/2 + 7*d**2/2 - 4. Let a(f) be the second derivative of r(f). Find c, given that a(c) = 0.
3
Let f = -33096 + 4468088/135. Let s = f + -4/27. Find r, given that s - 2/5*r**2 - 2/5*r = 0.
-2, 1
Let i(y) = y**4 - y**3 - y - 1. Let s(u) = -20*u**4 + 16*u**3 + 16*u + 16. Let w(c) = -16*i(c) - s(c). Determine t, given that w(t) = 0.
0
Let z(h) be the second derivative of h**6/105 + h**5/10 + 4*h**4/21 - 16*h**3/21 + 9*h. Factor z(n).
2*n*(n - 1)*(n + 4)**2/7
Let z(m) be the second derivative of -1/15*m**4 + 1/75*m**6 + 0*m**5 + 1/5*m**2 + 0 + 0*m**3 + 3*m. Find a such that z(a) = 0.
-1, 1
Let i be ((-4)/2)/((-4)/10). Let a(l) = -l**2 + 2*l + 2. Let z(m) = 3*m**2 - 5*m - 5. Let j(o) = i*a(o) + 2*z(o). Determine w, given that j(w) = 0.
0
Let h(w) be the third derivative of -3/44*w**4 + 0 - 5*w**2 + 7/330*w**5 + 0*w + 2/33*w**3. Determine z so that h(z) = 0.
2/7, 1
Let r(o) be the second derivative of -o**4/15 - o**3/5 + 2*o**2/5 + 18*o. Factor r(y).
-2*(y + 2)*(2*y - 1)/5
Let u(h) = 39*h**3 - 8*h**2 - 2*h + 2. Let o(t) = -26 + 94*t**2 - 37*t**2 - 273*t**3 + 15*t + 11. Let r(w) = -2*o(w) - 15*u(w). Factor r(s).
-3*s**2*(13*s - 2)
Suppose -4*y - 4*x = -16, 9 = y + 4*x - 7. Suppose 2*b**3 - 14/9*b**5 - 4/9*b - 10/9*b**4 + 10/9*b**2 + y = 0. Calculate b.
-1, 0, 2/7, 1
Let t be (-11)/((-55)/(-5)) - 14/(-10). Factor 1/5*q**5 + 2/5*q**4 - t*q**2 - 1/5*q + 0*q**3 + 0.
q*(q - 1)*(q + 1)**3/5
Let f(d) be the second derivative of -d**8/3360 - d**7/560 - d**6/240 - d**5/240 + d**4/12 - d. Let o(b) be the third derivative of f(b). What is l in o