3*w**3 - 5*w**2 - 31*w + 48. Let b(f) = 7*c(f) + 2*x(f). Factor b(z).
-2*(z - 2)**2*(z + 2)
Let b(i) be the first derivative of 0*i**2 + 2 - i**3 - 1/540*i**6 + 0*i**4 + 1/90*i**5 + 0*i. Let g(y) be the third derivative of b(y). Factor g(f).
-2*f*(f - 2)/3
Let j(r) be the third derivative of 1/20*r**5 + 0 - 1/8*r**4 + 0*r + 1/6*r**3 - 1/120*r**6 + 2*r**2. Factor j(t).
-(t - 1)**3
Let a be (-1*1)/(4/((-64)/8)). Factor 9/4*m**3 + 9/4*m**a + 3/4*m + 3/4*m**4 + 0.
3*m*(m + 1)**3/4
Let y = -477 + 40543/85. Let l = y + 176/255. Suppose 0 - 2/3*t + l*t**2 = 0. What is t?
0, 1
Let f be 4/1*4/((-320)/(-30)). Let -f*c**3 + 15/2*c**2 - 12*c + 6 = 0. What is c?
1, 2
Let w(v) be the first derivative of -v**6/120 + 7*v**5/80 - 3*v**4/8 + 5*v**3/6 - v**2 - 2*v + 3. Let l(i) be the first derivative of w(i). Solve l(d) = 0.
1, 2
Let j(t) be the second derivative of -1/60*t**5 + 2*t + 1/6*t**2 - 1/6*t**3 + 1/12*t**4 + 0. Factor j(x).
-(x - 1)**3/3
Let s(u) be the third derivative of -u**9/83160 + u**8/36960 + u**7/13860 - u**6/3960 + u**4/8 - 3*u**2. Let k(t) be the second derivative of s(t). Factor k(x).
-2*x*(x - 1)**2*(x + 1)/11
Find x such that 0*x**3 + 1/4*x**4 - 2*x - 3/2*x**2 - 3/4 = 0.
-1, 3
Let u(y) be the second derivative of 1/9*y**2 - 1/45*y**5 + 0 + 1/27*y**3 + 1/135*y**6 + 1/189*y**7 + 3*y - 1/27*y**4. Factor u(f).
2*(f - 1)**2*(f + 1)**3/9
Let f be (-4)/(-10) - (-7 - 185/(-25)). Factor f*u - 2*u**3 + 4/5*u**2 + 0.
-2*u**2*(5*u - 2)/5
Let h(q) be the third derivative of 0*q + 0 + 3*q**2 - 1/180*q**5 - 1/360*q**6 + 0*q**3 + 1/36*q**4. Suppose h(c) = 0. What is c?
-2, 0, 1
Let z(c) = -c + 5. Let j be z(3). Suppose 3*f = -f. Determine u so that -1/3*u + 1/3*u**j + f = 0.
0, 1
Let j(d) be the second derivative of -d**7/14 + 3*d**6/5 - 39*d**5/20 + 3*d**4 - 2*d**3 + 11*d. Let j(r) = 0. What is r?
0, 1, 2
Let b = 117 + -80. Let u = 55 - b. Determine w, given that 19*w**2 - u*w**2 - 1 + 0*w + 0*w = 0.
-1, 1
Let y(c) be the third derivative of c**5/40 - c**4/8 + c**3/4 + 24*c**2. What is l in y(l) = 0?
1
Let m be (-2 - 51/(-18))/(5/3). Find l, given that l**4 + 0*l**3 - l**2 + 0 + m*l - 1/2*l**5 = 0.
-1, 0, 1
Let a be ((-36)/(-15))/((-12)/(-40)). Let f be a/(-6) - 119/(-51). Let -f + w**2 - 3/2*w**3 + 3/2*w = 0. Calculate w.
-1, 2/3, 1
Let r be 1 - (-3 - (-2)/2). Suppose 2*v**4 - 4*v**5 + 1 + 1 - 9*v**2 - 4*v + 5*v**2 + 8*v**r = 0. What is v?
-1, 1/2, 1
Let s(j) = j**2 - 1. Let h(t) = -5*t**5 - 5*t**4 + 5*t**3 - 20*t**2 + 25. Let r(l) = -h(l) - 25*s(l). Suppose r(a) = 0. What is a?
-1, 0, 1
Let i(c) be the first derivative of c**4/2 + 4*c**3/3 - 7*c**2 + 8*c - 61. Factor i(n).
2*(n - 1)**2*(n + 4)
Let u(r) = -3 - 4*r**3 + r - r**2 + 3 + 5*r**3. Let i(p) = p**4 - p**3 + p**2 + p. Let o(v) = i(v) - 2*u(v). Factor o(f).
f*(f - 1)**3
Let v be 6/(-75)*-5*1. Let b be ((-3)/((-9)/(-24)))/(-10). Factor v*r**2 + 6/5*r + b.
2*(r + 1)*(r + 2)/5
Let a = 9 + -4. Suppose -1 = -3*l + a. Let 1/2 - 1/2*n**l + 0*n = 0. What is n?
-1, 1
Let a(d) be the third derivative of -7*d**5/270 + 19*d**4/108 + 2*d**3/9 - 26*d**2. Suppose a(p) = 0. Calculate p.
-2/7, 3
Suppose -4*v - 13 + 37 = 0. Suppose 10 = -t + v*t. Solve -2/5*w**t - 18/5 - 12/5*w = 0.
-3
Let z(d) = 3*d**2 - 2*d. Let o be z(-2). Suppose -2*n = 4*q + o, 2*q - 3*q - 1 = 2*n. What is h in 2/3 + 2/3*h**n - 4/3*h = 0?
1
Let k(c) be the first derivative of 4*c + 1 + 7/3*c**6 + 25*c**4 + 15*c**2 + 12*c**5 + 80/3*c**3. Find t such that k(t) = 0.
-1, -2/7
Let r(h) be the third derivative of 0 + 2*h**2 + 1/6*h**3 - 1/15*h**5 + 1/8*h**4 + 0*h. Let r(t) = 0. What is t?
-1/4, 1
Let m(g) = g**3 - 4*g**2 - 2*g - 5. Let s be m(5). Suppose 0 = -9*t + 4*t + 5*c + 30, 3*c + s = -t. Suppose 2*i**t + 6 - 6 + 3*i**3 - 5*i**3 = 0. Calculate i.
0, 1
Let l(p) = -15*p**4 + 23*p**3 - p**2 - 7*p. Let a = -2 + 11. Let j(c) = -4*c**4 + 6*c**3 - 2*c. Let w(q) = a*j(q) - 2*l(q). Solve w(b) = 0 for b.
-2/3, 0, 1
Factor 2/3*d**3 + 4/3*d**2 - 14/3*d + 8/3.
2*(d - 1)**2*(d + 4)/3
Let a(f) be the first derivative of f**7/14 - 7*f**6/90 - f**5/30 + 5*f + 2. Let c(o) be the first derivative of a(o). Find u such that c(u) = 0.
-2/9, 0, 1
Let o(y) be the third derivative of y**8/756 - y**7/135 + y**6/60 - y**5/54 + y**4/108 - 2*y**2. Factor o(u).
2*u*(u - 1)**3*(2*u - 1)/9
Let f(d) = -d**3 - 7*d**2 - 2*d - 13. Let n be f(-7). Let m = n + 3. Find u such that 0 - 2/3*u**3 + 4*u**2 - 32/3*u**5 - 2/3*u - 16*u**m = 0.
-1, 0, 1/4
Let x(v) be the third derivative of -1/8*v**4 + 1/6*v**3 + 0 + 1/20*v**5 + 2*v**2 - 1/120*v**6 + 0*v. Suppose x(t) = 0. Calculate t.
1
Let u(m) = 3*m**3 + 2*m**2 - 20*m - 2. Let q(k) = -35*k**3 - 25*k**2 + 240*k + 25. Let r(t) = 2*q(t) + 25*u(t). Determine w so that r(w) = 0.
-2, 0, 2
Suppose -9/8*v**3 - 3/8*v**5 + 0 - 9/8*v**4 + 0*v - 3/8*v**2 = 0. Calculate v.
-1, 0
Suppose -4 - 16 = -4*o. Let l(q) be the second derivative of -2/3*q**3 + q**4 - 25/42*q**7 - q + 11/20*q**o + 0 + 0*q**2 - q**6. Suppose l(t) = 0. Calculate t.
-1, 0, 2/5
Let j = -23 - -37. Factor 0*k**4 + 4*k**4 + j*k**3 - 10*k**3.
4*k**3*(k + 1)
Suppose u + r = 2*u + 3, 0 = -2*r + 6. Let k(c) be the second derivative of 0*c**3 + 0*c**2 + u + c + 1/48*c**4. Factor k(y).
y**2/4
Suppose 5*n + 0*n - 16 = 2*s, -12 = -5*n + 4*s. Let w be -3 - (-5)/((-15)/(-9)). Factor 1/3*l + 1/3*l**n + w + l**2 + l**3.
l*(l + 1)**3/3
Let k(g) be the first derivative of g**3 - 9*g**2 + 27*g - 30. Factor k(a).
3*(a - 3)**2
Let y(h) = -h**3 - 6*h**2 + 5*h - 10. Suppose 4*d + 28 = -0*d. Let a be y(d). Factor 1 - 1 + f**a.
f**4
Let i(y) be the third derivative of y**7/1260 - y**6/120 + y**5/30 - 5*y**4/72 + y**3/12 + 17*y**2. What is t in i(t) = 0?
1, 3
Let i = 320/1169 - -2/167. Factor -2/7*x**2 - i*x + 0.
-2*x*(x + 1)/7
Suppose 0 = -5*d + 3*d. Let g(n) = d + 0 + 13*n - 10*n**2 - 8*n. Let h(b) = -2*b**2 + b. Let a(u) = 4*g(u) - 22*h(u). Factor a(i).
2*i*(2*i - 1)
Let o(x) = 2*x**2 - 4*x - 4. Let f(k) = k**2 + 1. Let y(a) = 3*f(a) - 3*o(a). Solve y(u) = 0.
-1, 5
Let q(p) = -3*p**4 + 6*p**3 - 6*p**2 + 3*p. Let o(m) = -3*m**4 + 7*m**3 - 7*m**2 + 3*m. Let r(u) = -3*o(u) + 2*q(u). Factor r(t).
3*t*(t - 1)**3
Let h(k) be the second derivative of 0 + k**2 + 1/3*k**3 + k - 1/24*k**4 - 1/60*k**5. Let p(y) be the first derivative of h(y). Factor p(d).
-(d - 1)*(d + 2)
Let m(q) be the second derivative of q**9/45360 - q**8/20160 - q**7/7560 + q**6/2160 - 5*q**4/12 + 2*q. Let r(p) be the third derivative of m(p). Factor r(n).
n*(n - 1)**2*(n + 1)/3
Let a be (-3)/12 + 84/16. Let h = -5 + a. Find c such that 2/7*c**2 + 2/7*c + h = 0.
-1, 0
Let b(y) be the first derivative of 0*y - 5/12*y**4 + 4/15*y**5 + 2 + 2/9*y**3 + 0*y**2 - 1/18*y**6. Factor b(s).
-s**2*(s - 2)*(s - 1)**2/3
Let s(n) = n**3 + 26*n**2 + 24*n - 20. Let c be s(-25). What is w in 2/5*w + 12/5*w**3 + 2/5*w**c + 8/5*w**2 + 8/5*w**4 + 0 = 0?
-1, 0
Let u(c) = 3*c**4 + 15*c**3 + 15*c**2 - 15*c + 9. Let s(n) = n**4 + 7*n**3 + 7*n**2 - 7*n + 4. Let f(i) = 9*s(i) - 4*u(i). Factor f(w).
-3*w*(w - 1)**2*(w + 1)
Suppose -4*y + 4*i + 17 = 3*i, -3*y - 5*i + 7 = 0. Determine r so that -2*r**3 - 5 - 2*r + 16 - 11 - y*r**2 = 0.
-1, 0
Let q(v) be the third derivative of v**7/105 - v**5/30 + 25*v**2. What is t in q(t) = 0?
-1, 0, 1
Suppose -4*w + 0 = -4. Let h(l) be the first derivative of 0*l + 1/12*l**4 + 1/6*l**2 - w - 2/9*l**3. Factor h(k).
k*(k - 1)**2/3
Let x(d) = 40*d**3 - 375*d**2 + 1000*d - 25. Let n(p) = 5*p**3 - 47*p**2 + 125*p - 3. Let r(q) = 25*n(q) - 3*x(q). Factor r(t).
5*t*(t - 5)**2
Let m = 8 + -3. Let k(p) = 6*p**3 + 4*p**2 + 5*p. Let y(o) = -o. Let c(g) = m*y(g) + k(g). Factor c(u).
2*u**2*(3*u + 2)
Let h = 123/2 + -60. Let w(v) = -21*v + 318. Let d be w(15). Factor -r**2 + 0 - h*r**d + 0*r.
-r**2*(3*r + 2)/2
Let w be 19/(-3) - 8/(-24). Let u = w - -8. Let 0*d + 0 + 2/3*d**3 + 2/3*d**u = 0. Calculate d.
-1, 0
Let r(t) = t**2 - 8*t + 10. Let b be r(7). Suppose b*d + 7 = 13. Factor 0*s + 2/7*s**d + 0 + 2/7*s**3.
2*s**2*(s + 1)/7
Solve 2/5*f**5 + 0*f + 0*f**4 + 0 + 0*f**2 + 0*f**3 = 0 for f.
0
Suppose 4*a - 5*a = 1. Let p be 4 + (-1)/a*-2. Factor -1/2 - 1/2*y**p + y.
-(y - 1)**2/2
Let g(z) be the second derivative of -z**10/90720 + z**9/22680 - z**8/20160 + z**4/12 + z. Let a(m) be the third derivative of g(m). Factor a(p).
-p**3*(p - 1)**2/