*5 + 5*p**4 + 0 + 0*p + 0*p**2 + 0*p**3.
-5*p**4*(p - 2)/2
Suppose 27*u - 43 = 38. Factor -1/5*i**2 - 1/5*i**u + 0*i + 0.
-i**2*(i + 1)/5
Let y = -13/5 + 31/10. Let 3/8*a**2 + 0*a + 1/8*a**3 - y = 0. What is a?
-2, 1
Let v(x) = 3*x**5 + 13*x**4 - 6*x**2 - 10*x. Let g(y) = y**5 + 4*y**4 - 2*y**2 - 3*y. Let w be (-14)/7 - (1 - -1). Let n(f) = w*v(f) + 14*g(f). Factor n(k).
2*k*(k - 1)*(k + 1)**3
Let u(g) be the third derivative of g**7/2940 + g**6/252 + 2*g**5/105 + g**4/21 + 2*g**3/3 + 2*g**2. Let q(n) be the first derivative of u(n). Factor q(r).
2*(r + 1)*(r + 2)**2/7
Let y(s) = 3*s - 1. Let d be y(3). Let k be ((-6)/(-2))/(12/d). Factor 2*z**k + 0*z**2 + 4*z - 6*z**2 + 2*z**2.
-2*z*(z - 2)
Let u be 6*(21/9 + -2). Suppose m - 3*w = -2*m + 21, 0 = -3*w - 9. Factor -10*n**u + m - 5*n - 2 - 10*n**3 - 3 - n**5 - 5*n**4.
-(n + 1)**5
Let s(a) be the second derivative of a**6/2 + a**5 + 5*a**4/12 + 7*a. Factor s(j).
5*j**2*(j + 1)*(3*j + 1)
Let w(n) be the first derivative of -n**6/165 + n**4/33 - n**2/11 - 4*n + 4. Let m(g) be the first derivative of w(g). Determine u so that m(u) = 0.
-1, 1
Let k = 8/57 + 10/19. Factor -k - 2/3*l**2 + 4/3*l.
-2*(l - 1)**2/3
Factor 2*w - 3*w**2 - 29*w**3 - 17*w - 9 - 29*w**3 + 61*w**3.
3*(w - 3)*(w + 1)**2
Determine s so that -8/3 - 1/6*s**2 + 4/3*s = 0.
4
Suppose w - 5*m = 5 + 11, -4*w - 4*m + 16 = 0. Factor -2 + w*c + 5 + 3*c**2 - 12*c.
3*(c - 1)**2
Let m be 5/10*12/3. Suppose 1/5*r - 1/5*r**m + 2/5 = 0. Calculate r.
-1, 2
Let m(y) = 0*y**3 - 4*y**3 - y**2 + y**2. Let v be m(-1). Factor 2*g**3 - 3 - 10*g**4 - 2*g + v + 9*g**4.
-(g - 1)**3*(g + 1)
Suppose -4*z + 17 + 95 = 0. Suppose 0 = -3*c, 4*m + 5*c - z = c. Factor -a - 3 + 4*a**2 - 1 + m*a.
2*(a + 2)*(2*a - 1)
Factor 10*c**2 + 4*c**3 + c**3 + 30*c - 25*c.
5*c*(c + 1)**2
Let w(z) be the third derivative of 0*z - 1/630*z**7 - 1/120*z**6 + 0 - 1/90*z**5 + 0*z**3 + 3*z**2 + 0*z**4. Factor w(q).
-q**2*(q + 1)*(q + 2)/3
Factor y**3 + 5*y**4 + 12*y**3 - 3*y**4 - 7*y**3.
2*y**3*(y + 3)
Let g(v) be the first derivative of 1/2*v**2 + 0*v + 0*v**5 - 2 + 2/21*v**3 + 1/28*v**4 - 1/420*v**6. Let y(t) be the second derivative of g(t). Solve y(x) = 0.
-1, 2
Factor 2*z**3 - z**2 + 66*z**4 - 68*z**4 + 9*z**2 - 8*z.
-2*z*(z - 2)*(z - 1)*(z + 2)
Let j(w) = -3*w**3 - 51*w**2 + 51*w + 3. Let i(h) = 1 - 13*h**2 - 3*h**3 + 13*h - h**3 + 2*h**3 + h**3. Let s(d) = 15*i(d) - 4*j(d). Factor s(x).
-3*(x - 1)**3
Let a(l) be the first derivative of l**4/16 - 3*l**2/8 + 3*l - 3. Let o(c) be the first derivative of a(c). Let o(w) = 0. What is w?
-1, 1
Let b(z) be the second derivative of -z**5/60 + z**4/12 + 26*z. Factor b(n).
-n**2*(n - 3)/3
Let b(q) = -10*q**3 - 40*q**2 - 5*q + 5. Let d(m) = 5*m**3 + 20*m**2 + 2*m - 2. Let g(z) = -2*b(z) - 5*d(z). Solve g(f) = 0 for f.
-4, 0
Let c(m) be the second derivative of -m**4/3 + 10*m**3/3 - 8*m**2 - 6*m. Determine j, given that c(j) = 0.
1, 4
Let h(n) be the third derivative of -2/21*n**3 + 0 + 1/210*n**5 + 1/84*n**4 + 0*n - 7*n**2. Factor h(b).
2*(b - 1)*(b + 2)/7
Let p = 5851/6 + -975. Solve p + 0*i - 1/6*i**2 = 0.
-1, 1
Let f(a) = -a**3 - a**2 + a + 3. Let t be f(0). Let q = 2 + 0. Factor 4 + 2*p**2 + 2 - q*p**t + 4*p + 6*p.
-2*(p - 3)*(p + 1)**2
Let g be 1 - 4/12 - 2/(-3). Factor 2/3*a + 0 + 2/3*a**3 - g*a**2.
2*a*(a - 1)**2/3
Let z = 52/9 + -23/4. Let s(k) be the second derivative of -3*k + 0*k**3 - z*k**4 + 0 + 1/60*k**5 + 0*k**2. Factor s(h).
h**2*(h - 1)/3
Suppose 14*b = 3*b. Factor 2/3*y**2 - 2/3*y**3 + 0*y + b.
-2*y**2*(y - 1)/3
Factor -21*l**2 - l + 3*l**5 + 7*l - 15*l**4 + 17*l**3 + 10*l**3 + 0*l**3.
3*l*(l - 2)*(l - 1)**3
Let z be (-2)/(-1*(-3 + 1)). Let w be (6/(-3)*z)/1. Let 4*h**2 - 2 - 5*h + 3*h - 11*h**5 - w*h**4 + 4*h**3 + 9*h**5 = 0. Calculate h.
-1, 1
Let t be (-4)/(-30) + -4 + (-58)/(-15). Factor t*d + 3/5*d**2 - 3/5.
3*(d - 1)*(d + 1)/5
Suppose 4*i = 5*r + 1 - 3, -2*i + 14 = 5*r. Suppose 2*c + 6*u = u + 31, c + r = u. Factor c*a**2 - 3 + 2 + 1.
3*a**2
Suppose -2*k - 3*k - 5*j = -20, -k - 3*j = -8. Let y = -1 - -3. Factor 2*t**3 - 2*t**k - 2*t**3 + t**3 + t + 4*t**y.
t*(t + 1)**2
Let a(d) be the third derivative of d**6/720 + d**5/72 + d**4/18 + d**3/9 - 14*d**2. Factor a(k).
(k + 1)*(k + 2)**2/6
Suppose q + 4*q - m + 4 = 0, -5*q - 5*m + 20 = 0. Let p(x) be the first derivative of -1/8*x**2 + 1/12*x**3 + 1 + q*x. Solve p(c) = 0 for c.
0, 1
Suppose -j + 3*j - 6 = 3*b, 2*j - b = 10. Let r = j + -4. Factor 3*t - r*t**2 - 5*t + 4*t**2 - 3*t**2.
-t*(t + 2)
Let q be 26/65*10/24. Let d = q - -19/30. Factor 0 + 0*i + 2/5*i**2 - d*i**3.
-2*i**2*(2*i - 1)/5
Solve -25*u**4 + 4*u**5 - 4*u**4 - 52*u**2 - 8 - 46*u**2 + 17*u + 35*u + 79*u**3 = 0.
1/4, 1, 2
Let v(m) be the second derivative of -m**8/448 + 3*m**7/280 - m**6/80 + m**2/2 - 8*m. Let a(x) be the first derivative of v(x). Factor a(r).
-3*r**3*(r - 2)*(r - 1)/4
Let j(r) be the second derivative of -r**4/48 - r**3/3 - 7*r**2/8 + 20*r. Factor j(m).
-(m + 1)*(m + 7)/4
Let i(o) be the first derivative of -2 + 0*o**5 + 1/180*o**6 - 1/420*o**7 + 0*o**4 + 0*o**2 + o**3 + 0*o. Let k(z) be the third derivative of i(z). Factor k(a).
-2*a**2*(a - 1)
Let y(k) = k**3 + 2*k**2 + 2. Let g be y(-2). Let f(l) be the second derivative of 1/12*l**4 + 1/2*l**g - 2*l + 1/3*l**3 + 0. Factor f(v).
(v + 1)**2
Let c be (-7)/(-60)*2/8. Let i(h) be the third derivative of 1/24*h**3 - 1/140*h**7 + 0*h - c*h**5 + h**2 + 0 + 1/96*h**4 - 13/480*h**6. What is z in i(z) = 0?
-1, -1/2, 1/3
Let n(z) be the third derivative of -z**5/180 - z**4/72 + z**3/9 + 3*z**2 - 4. Factor n(q).
-(q - 1)*(q + 2)/3
Let r(s) = -s**4 - 1. Let h(z) = -2*z**4 - 3*z**3 + 4*z**2 - 1. Let o(w) = -3*h(w) + 3*r(w). Let o(x) = 0. Calculate x.
-4, 0, 1
Let w(q) = 2 + q**2 - q + q**2 - 3. Let y be w(-1). What is d in -10*d**2 - 6*d - y + 8*d**2 - 2 = 0?
-2, -1
Let v(t) be the third derivative of t**5/210 + t**4/84 - 2*t**3/21 + 13*t**2 - 4*t. Factor v(w).
2*(w - 1)*(w + 2)/7
Let b(z) be the first derivative of z**5/20 + z**4/3 + 2*z**3/3 - z**2 - 3. Let v(q) be the second derivative of b(q). Factor v(l).
(l + 2)*(3*l + 2)
Suppose -1/5*t**5 + 0 + 8/5*t**2 + 6/5*t**4 - 12/5*t**3 + 0*t = 0. What is t?
0, 2
Suppose 0*t - 3*v = 2*t - 12, t = -2*v + 7. Let l = -98/3 + 33. Factor -1/3*g**2 + l*g**t + 0*g + 0.
g**2*(g - 1)/3
Let y(n) be the third derivative of n**7/420 - n**5/40 - n**4/24 - 7*n**2. Solve y(b) = 0.
-1, 0, 2
Suppose -7*z + 9 = -4*z. Let -3*u**3 - 20 + z*u + 20 = 0. What is u?
-1, 0, 1
Let s(t) be the second derivative of t**8/1344 - t**6/480 + t**2 + 4*t. Let l(d) be the first derivative of s(d). Let l(r) = 0. Calculate r.
-1, 0, 1
Let f be (1 - 1)/(-5 - -6). Let s = 3 + f. Factor -3*v**2 + 4*v + v**2 + 4 + s*v**2.
(v + 2)**2
Factor 2/5*b**2 - 22/5*b + 0.
2*b*(b - 11)/5
Let x(k) be the first derivative of -k**4/10 + 4*k**3/15 + k**2/5 - 4*k/5 + 3. Suppose x(s) = 0. Calculate s.
-1, 1, 2
Let f(d) be the first derivative of -d**6/600 + 3*d**5/200 - d**4/20 - d**3 - 5. Let w(a) be the third derivative of f(a). Find c such that w(c) = 0.
1, 2
Let x(v) be the first derivative of -9*v**3 + 3*v**2 - 8*v**2 + 2 - 3*v**2 - 12*v - 22*v**2. Find n, given that x(n) = 0.
-2, -2/9
Let o(b) = -7*b**3 - 8*b**2 - 5*b - 4. Let u(v) = -7*v**2 - 6*v**3 - 7 - 1 - 4*v + 5. Let k(x) = -5*o(x) + 6*u(x). Factor k(m).
-(m - 1)*(m + 1)*(m + 2)
Suppose 0 = c - 5*r - 5, 2*r - 4*r = 4*c - 86. Suppose -3*v - v = -c. Solve -8*m**3 - v*m**4 + 4*m**3 + m**2 + 2*m**4 + 2*m = 0 for m.
-1, 0, 2/3
Suppose 5*m = 4*m - 7. Let r be m - -3 - 232/(-52). Find w, given that 0 + r*w**2 - 4/13*w**3 - 2/13*w = 0.
0, 1/2, 1
Let d(o) = -o**3 + o**2. Let c(s) = 39*s**3 + 471*s**2 + 560*s + 180. Let p(x) = c(x) - 6*d(x). Find m such that p(m) = 0.
-9, -2/3
Factor 1421*k**4 + 1864*k**4 - 17010*k**3 + 160 + 1033*k**4 - 673*k**4 + 10260*k**2 - 2200*k.
5*(k - 4)*(9*k - 2)**3
Let i(k) be the second derivative of k**7/63 - 2*k**6/45 + k**5/30 - 10*k. Factor i(u).
2*u**3*(u - 1)**2/3
Let g = 34/75 + -8/25. Let f(s) be the first derivative of -1 - g*s**5 + 1/6*s**2 + 0*s**3 - 1/4*s**4 + 0*s. Factor f(b).
-b*(b + 1)**2*(2*b - 1)/3
Let p(a) be the first derivative of -7*a**7/150 - 7*a**6/60 + a**5/100 + a**4/6 - 2*a**3/15 - a**2 + 5. Let f(n) be the second derivative of p(n). Factor f(g).
-(g 