 -9*b**3 - p*b**3 + 14*b**3.
2*b**3
Factor 3*m + 1 + 2*m**5 + 18*m**3 - 10*m**4 - 14*m**2 + m - 1.
2*m*(m - 2)*(m - 1)**3
Let w = -1 - -5. Let r = w + -1. Let b(x) = 5*x**2 + 4*x - 1. Let y(u) = -6*u**2 - 4*u + 2. Let d(v) = r*b(v) + 2*y(v). Factor d(m).
(m + 1)*(3*m + 1)
Let l(z) = -z**2 - 8*z - 7. Let q be l(-5). Let b(x) = -x**2 + 7*x + 10. Let i be b(q). Factor -2 - 7*m**i - 3*m + 8*m**2 + m**4 - 3*m**3 + 6*m.
(m - 2)*(m - 1)**2*(m + 1)
Let m be (-1)/(-2)*0 + (-2)/(-6). Factor 0 + 1/3*w**2 - m*w.
w*(w - 1)/3
Let z(o) be the second derivative of o**7/210 - o**6/24 + 3*o**5/20 - 7*o**4/24 + o**3/3 + o**2 - 4*o. Let s(q) be the first derivative of z(q). Factor s(p).
(p - 2)*(p - 1)**3
Let d(c) be the third derivative of -c**5/20 + c**3/2 - 2*c**2. Suppose d(s) = 0. Calculate s.
-1, 1
Suppose -43*i + 48*i = 0. Suppose -8/5*h**3 - 6/5*h**2 + i + 0*h = 0. Calculate h.
-3/4, 0
Let r be (1/2)/((-9)/(-54)). Suppose -5*m = -3*m - 6. Determine x so that 0 - 1/2*x - r*x**2 + 9/2*x**5 + 3*x**4 - 4*x**m = 0.
-1, -1/3, 0, 1
Suppose 0 = -2*c - 2*a - 4, -2*c + 4*c - 21 = 3*a. Factor -4/5*f**2 + 2/5*f**4 + 0*f**c + 2/5 + 0*f.
2*(f - 1)**2*(f + 1)**2/5
Let u be -1 + 3 - (-388)/(-6). Let g = u - -572/9. Factor -8/9*r + 2/9*r**2 + g.
2*(r - 2)**2/9
Find f, given that -40*f - 20 + 60*f**2 + 15*f**2 + 66*f**3 - 31*f**3 - 15*f**5 - 35*f**4 = 0.
-2, -1/3, 1
Let h = 119 + -1784/15. Let t(a) be the second derivative of a + 0 + 1/3*a**3 - 1/2*a**4 + 0*a**2 - h*a**6 + 3/10*a**5. Factor t(o).
-2*o*(o - 1)**3
Let h(v) = -v**3 - 1. Let o(m) = 6*m**4 + 3*m**3 - 6*m**2 + 2*m + 5. Let a(z) = 10*h(z) + 2*o(z). Suppose a(k) = 0. Calculate k.
-1, 0, 1/3, 1
Let c(l) = l**3 + 12*l**2. Let g be c(-12). Let q(v) be the third derivative of g*v + 1/30*v**5 - v**2 + 0 - 1/12*v**4 + 0*v**3. Factor q(r).
2*r*(r - 1)
Suppose -5/2 - 35/2*g**3 - 45/4*g - 15/2*g**4 - 20*g**2 - 5/4*g**5 = 0. What is g?
-2, -1
Let y(d) be the second derivative of -7*d**4/6 + 2*d**3/3 + d. Factor y(a).
-2*a*(7*a - 2)
Let k(z) be the second derivative of z**5/40 + z**4/4 + 3*z**3/4 + 5*z. Factor k(n).
n*(n + 3)**2/2
Let h = 69/20 + -16/5. Factor 1/4*b**2 - 1/2 - h*b.
(b - 2)*(b + 1)/4
Let d = -170 - -3061/18. Let w(l) be the second derivative of 0 - 2*l + 0*l**3 - 1/3*l**2 + d*l**4. Factor w(a).
2*(a - 1)*(a + 1)/3
Let c be (8/(-9))/(-1*(-4)/(-12)). Find l, given that c*l**2 - 10/3*l - 2/3*l**3 + 4/3 = 0.
1, 2
Let l = 387 - 383. Let -4/11*s + 2/11*s**2 - 86/11*s**l + 48/11*s**3 + 40/11*s**5 + 0 = 0. Calculate s.
-1/4, 0, 2/5, 1
Let n(h) = h**2 - 13*h + 12. Let z be (0 + (-4)/(-10))*30. Let y be n(z). Find w, given that 0*w + y - 1/3*w**4 + 1/3*w**3 + 0*w**2 = 0.
0, 1
Let a be -4 + (95/3 - 2). Let a*n**3 - 32/3*n**2 + 4/3*n - 49/3*n**4 + 0 = 0. What is n?
0, 2/7, 1
Suppose -5*r - 2*o - 2 = -20, 0 = 3*r - 4*o + 10. Let r*t**4 - 2*t + 3*t + 6*t**2 - 8*t**2 - t**3 = 0. What is t?
-1, 0, 1/2, 1
Suppose -10*d - 4 = -9*d. Let p be (-10)/d*(-56)/(-70). What is r in 2/5 - 2/5*r**p + 0*r = 0?
-1, 1
Let f be (1/(-2))/((-30)/8). Let c(l) be the first derivative of 0*l - 2 + f*l**3 + 0*l**2 + 2/25*l**5 - 1/5*l**4. Let c(y) = 0. What is y?
0, 1
Let q = 4 + -1. Let l be (-3)/(-4 + 1)*q. Factor -6*j**l - j**2 + j**4 + 0*j**4 + 5*j**3 + j.
j*(j - 1)**2*(j + 1)
Factor 5/6*h + 1/6*h**2 + 2/3.
(h + 1)*(h + 4)/6
Let i(d) be the first derivative of 3 - 1/9*d**4 + 0*d**2 + 1/30*d**5 + 3*d + 1/9*d**3. Let t(x) be the first derivative of i(x). Factor t(p).
2*p*(p - 1)**2/3
Factor 10/3*p**2 - 2/3*p**3 - 4*p + 0.
-2*p*(p - 3)*(p - 2)/3
Let a(w) be the second derivative of -w**8/6720 + w**7/840 - w**5/30 - w**4/3 - 4*w. Let x(h) be the third derivative of a(h). Factor x(k).
-(k - 2)**2*(k + 1)
Let k(f) be the first derivative of 2*f**3/3 - 5*f + 2. Let m(v) = -2*v**2 + 4. Let o(q) = 2*k(q) + 3*m(q). Suppose o(u) = 0. What is u?
-1, 1
Factor -9/2*r - 69/4*r**2 + 0 - 21/4*r**3.
-3*r*(r + 3)*(7*r + 2)/4
Suppose -g = 2*g - 4*z - 14, 5 = 5*z. Let r be ((-1)/g)/(-2 - -1). Factor 1/6*k + r*k**3 - 1/3*k**2 + 0.
k*(k - 1)**2/6
Let n(s) = 7*s**2 - 7*s + 2. Let m(c) = -2 + 0*c + 0*c**2 + 7*c - c - 7*c**2. Suppose -a = a + 12. Let o(d) = a*n(d) - 4*m(d). Factor o(v).
-2*(v - 1)*(7*v - 2)
Let j(u) = 3*u. Let q be j(0). Let b(s) be the third derivative of q*s - 4*s**2 - 1/240*s**6 + 1/120*s**5 + 0 + 1/48*s**4 - 1/12*s**3. Let b(d) = 0. What is d?
-1, 1
Suppose 50*b - 48*b = 0. Factor -2/5*d**2 + 0 + 2/5*d**4 + 0*d + b*d**3.
2*d**2*(d - 1)*(d + 1)/5
Suppose -5*j = -2*k + 4*k - 4, 3*k - 6 = 3*j. Let a(o) be the third derivative of 0*o + 1/4*o**4 + j*o**3 - 1/40*o**6 + o**2 - 1/20*o**5 + 0. Factor a(t).
-3*t*(t - 1)*(t + 2)
Factor 5*x**2 - 5/3*x - 5*x**3 + 5/3*x**4 + 0.
5*x*(x - 1)**3/3
Let j be 17/26 - (-78)/(-507). What is h in -3/2*h - 3/2*h**2 - 1/2*h**3 - j = 0?
-1
Let v(b) be the third derivative of 0*b + 0 - 1/12*b**4 - 11/15*b**5 + 2/3*b**3 + 7/20*b**6 - 2*b**2. Let v(t) = 0. What is t?
-2/7, 1/3, 1
Let s(o) = o + 9. Let r = 8 + -15. Let j be s(r). Factor -1/2*z**j - 1/2*z**3 + 0*z + 0.
-z**2*(z + 1)/2
Let b be (-12)/2*1/(-2). Suppose -4*y + 10 = -10. Factor -z**b + 3*z**5 + z**5 - 3*z**y.
z**3*(z - 1)*(z + 1)
Solve -2/9 + 2/9*s**2 + 0*s = 0.
-1, 1
Factor 2/3*i**4 + 0*i**3 - 16/3*i**2 + 32/3 + 0*i.
2*(i - 2)**2*(i + 2)**2/3
Let v(y) = -11*y**3 + 13*y. Let l(o) = 16*o - 5*o**3 + 13*o - 23*o. Let i(w) = 13*l(w) - 6*v(w). Solve i(m) = 0.
0
Let r(v) be the third derivative of -v**5/120 - v**4/48 + 30*v**2. Factor r(w).
-w*(w + 1)/2
Let f(l) = l**3 + 11*l**2 - 11*l. Let k(v) = 2*v**2 - 2*v. Let j(u) = u - 6. Let t be j(8). Let o(a) = t*f(a) - 11*k(a). Factor o(h).
2*h**3
Let t(z) be the third derivative of 0 + 1/24*z**4 + 1/240*z**6 + 1/48*z**5 + 0*z + 3*z**2 - 1/3*z**3. Let j(f) be the first derivative of t(f). Factor j(u).
(u + 1)*(3*u + 2)/2
Let h = 1 - -4. Factor -21 + l + 3*l**2 + l + 15 - h*l.
3*(l - 2)*(l + 1)
Let c(l) = -l**3 + 13*l**2. Let z be c(13). Let t(d) be the second derivative of -1/60*d**5 + z + d + 0*d**2 - 1/18*d**4 - 1/18*d**3. Let t(s) = 0. What is s?
-1, 0
What is s in -24*s**3 - 22*s**2 - 1 - 9*s + 8*s**4 + s - 17*s**4 = 0?
-1, -1/3
Let w(u) = u**2 - 7. Let h be w(3). Let d = 429/7 - 61. Factor d*l**h + 2/7 + 4/7*l.
2*(l + 1)**2/7
Factor 14*c**3 - 21*c**4 + c**3 + 27*c**4 + 6*c**2.
3*c**2*(c + 2)*(2*c + 1)
Let l = -329 + 333. Factor 0*c**2 + 0*c + 0*c**3 + 0 - 2/5*c**l.
-2*c**4/5
Let v(n) be the first derivative of n**6/45 + n**5/6 + n**4/3 - 4*n**3/9 - 8*n**2/3 - 2*n + 6. Let s(q) be the first derivative of v(q). Factor s(d).
2*(d - 1)*(d + 2)**3/3
Let m = 24 - 19. Let f = -5 + 8. Factor 2/7*y - 2/7*y**4 - 2/7 + 4/7*y**2 + 2/7*y**m - 4/7*y**f.
2*(y - 1)**3*(y + 1)**2/7
Let d(m) be the first derivative of 3*m**5/20 + 3*m**4/8 + m**3/4 + 4. What is o in d(o) = 0?
-1, 0
Determine m so that 4*m + 26 - 28 - 5*m + 2*m**2 + m**3 = 0.
-2, -1, 1
Let d(a) = a**2 - a. Let t(n) = 10 + 14*n + 6*n - 10. Let x(k) = -12*d(k) - t(k). Factor x(v).
-4*v*(3*v + 2)
Let i = 139/611 + 11/47. Factor 0 + 2/13*d**2 - i*d.
2*d*(d - 3)/13
Let u be 1/(-2)*2/(-3). Let w be 4/10*205/246. Factor -w*y**2 + u*y**3 + 0 + 0*y.
y**2*(y - 1)/3
Let n(q) = q**3 + 2*q**2 + 3*q - 2. Let i(u) = 3*u**3 + 5*u**2 + 6*u - 4. Let o(w) = 4*i(w) - 10*n(w). Factor o(d).
2*(d - 1)**2*(d + 2)
Factor 6*l**3 - 2*l - 9*l**2 - 6*l + 9*l**4 + 2*l.
3*l*(l - 1)*(l + 1)*(3*l + 2)
Let k be 15/27*(9 + -6). Factor -k*f**3 + 0 + 2/3*f**2 + 0*f.
-f**2*(5*f - 2)/3
Let s = -6 + 8. What is u in 9*u**3 - 1 - 9*u - 3*u**s + 0 + 7 - 3*u**4 = 0?
-1, 1, 2
Let q be -2*2/4 + 0. Let p be (3 + 30/(-9))/q. What is l in -1/3*l**3 + 1/3*l - 1/3 + p*l**2 = 0?
-1, 1
Let t = -69737/30 + 2326. Let w = 8/5 - t. Suppose -1/3*k**4 + 0*k**3 + 0 - 1/6*k**5 + w*k + 1/3*k**2 = 0. What is k?
-1, 0, 1
Let s = 162/5 + -32. Factor 0*m**2 - m**4 + s*m**3 + 0*m + 0.
-m**3*(5*m - 2)/5
Let f be ((-20)/25)/((-6)/15). Factor -4/3 - 4/3*h - 1/3*h**f.
-(h + 2)**2/3
Let z(v) be the first derivative of -3*v**5/5 + 3*v**4/4 + 3*v**3 - 3*v**2/2 - 6*v - 10. Factor z(d).
-3*(d - 2)*(d - 1)*(d + 1)**2
Let t = -2/1044121 + 136780673/429133731. Let g = t + 2/137. Find h, given that -1/3*h**2 + 0 + 0*h - g*h**3 = 0.
-1, 0
Let i = -216 + 649/3. Determine l, given that -2/3 + 1/3*l - i*l**3 + 2/3*l**2 = 0.
-1, 1, 2
Let a(d) = d**4 - d*