-6*j(m) - 5*w(m). Let t(o) = 0. What is o?
-1, 0, 2
Let l be (-2)/((-3 + 1)/4). Let p(y) be the third derivative of -4*y**2 - 2/9*y**3 + 0*y + 0 - 1/90*y**5 + 1/12*y**l. Factor p(h).
-2*(h - 2)*(h - 1)/3
Let l(m) be the second derivative of m**8/2880 - m**7/1512 - m**6/135 - m**5/90 + m**4 + 6*m. Let z(y) be the third derivative of l(y). Factor z(c).
(c - 2)*(c + 1)*(7*c + 2)/3
Let l(b) be the second derivative of b**4/84 + 5*b**3/7 + 29*b**2/14 + 54*b. Factor l(d).
(d + 1)*(d + 29)/7
Let c = 7 + -4. Let 13*f**2 - 18*f**2 - c*f + 5 + 3*f = 0. What is f?
-1, 1
Let m(u) be the first derivative of u**5/80 - u**4/48 - u**3/24 + u**2/8 + 3*u + 2. Let z(h) be the first derivative of m(h). Factor z(n).
(n - 1)**2*(n + 1)/4
Suppose 0 = 5*u - 3*w + 4*w - 25, -5 = -w. Suppose -u = -6*d + 8. Determine x so that -1/5*x**3 - 2/5*x**d - 1/5*x + 0 = 0.
-1, 0
Factor -128 - 40*s**2 - 25*s - s**3 - s**3 - 111*s.
-2*(s + 2)**2*(s + 16)
Let w = -77 - 56. Let z = 135 + w. Factor -2/11*y**z - 50/11 - 20/11*y.
-2*(y + 5)**2/11
Suppose 12 = i - 6. Solve 12 - s**2 - 32 + i - s - 2*s = 0 for s.
-2, -1
Let n(k) be the second derivative of 1/2*k**4 - 9/20*k**5 - 12*k**2 + 0 + 14*k + 6*k**3. Factor n(c).
-3*(c - 2)*(c + 2)*(3*c - 2)
Let b be (-8)/12*(-48)/(-15). Let d = -26/15 - b. Factor 0*l + 0*l**2 + 0 - d*l**3.
-2*l**3/5
Let g be -2 - ((-975)/26)/15. Factor g*l**2 + 1/2 - l.
(l - 1)**2/2
Let z be (-5)/((-20)/36) + -1. Factor -g**3 + 2*g**2 - 4 - g + 12 - z.
-g*(g - 1)**2
Let d be (-4)/12*9*-4. Suppose 2*c = 2*x, -d = -3*c - 3*x + 2*x. Factor 2*b**3 - 3*b**2 + 3 - b**3 + 0*b**3 + 2*b**c - 3*b.
3*(b - 1)**2*(b + 1)
Let c(v) be the second derivative of v**5/10 - 41*v**4/6 - 176*v**3/3 - 180*v**2 + 96*v. Let c(s) = 0. Calculate s.
-2, 45
Suppose -477*k - 96*k**4 + 274*k**2 + 419*k**2 + 185*k**2 + 343*k**2 + 54 - 690*k**3 + 96*k**5 = 0. What is k?
-3, 1/4, 3/2, 2
Let 0*c + 1/2*c**5 + 0 + 1/2*c**2 + 3/2*c**3 + 3/2*c**4 = 0. What is c?
-1, 0
Let t(a) be the first derivative of 8/9*a + 1/18*a**4 + 4/9*a**3 - 4 + a**2. Let t(m) = 0. Calculate m.
-4, -1
Suppose 10*q = -54 + 94. Suppose -4*u = 2*k - 10, k - q + 3 = 2*u. Factor m + 1/3*m**4 - m**k + 0 - 1/3*m**2.
m*(m - 3)*(m - 1)*(m + 1)/3
Let l(h) = 7*h**2 - h - 13. Let k(r) = 3*r + 55. Let m be k(-14). Let s(n) = 3*n**2 - 6. Let f(d) = m*s(d) - 6*l(d). Solve f(t) = 0.
0, 2
Solve 28/3 - 2/3*g**2 + 26/3*g = 0 for g.
-1, 14
Let l(j) = j**3 + 7*j**2 + 5. Let a be l(-7). Let -29 - 4*d**a - 12*d**3 + 12*d**4 + 29 + 4*d**2 = 0. Calculate d.
0, 1
Let q(m) be the third derivative of -1/24*m**4 - 2/105*m**7 - 19*m**2 + 0 + 1/15*m**5 + 0*m + 0*m**3 - 5/336*m**8 + 1/20*m**6. Find u such that q(u) = 0.
-1, 0, 1/5, 1
Suppose 0*o - 9*o = 18*o. Find v, given that o*v**3 + 0*v + 0 + 8/23*v**2 - 6/23*v**4 + 2/23*v**5 = 0.
-1, 0, 2
Suppose 0 = -2*a + 8 - 0. Suppose -10 - 6 = -a*x. Factor 4*g**2 - g**3 - 3*g**2 - g**x + g**5 + 0*g**5.
g**2*(g - 1)**2*(g + 1)
Let c be 1*0/((-10)/(-5)). Suppose 4*l - 14 + 6 = 0. Factor -q + c - 1/2*q**l.
-q*(q + 2)/2
Factor 3/2*h**3 + 4*h + 11/2*h**2 - 2.
(h + 2)**2*(3*h - 1)/2
Suppose 2*q - 2*c + 5*c - 2 = 0, 4*q = -c + 24. Let n(v) be the third derivative of 3/280*v**6 + 0 + 0*v**3 + 1/28*v**4 + q*v**2 + 0*v + 1/28*v**5. Factor n(m).
3*m*(m + 1)*(3*m + 2)/7
Factor -360589*m + 360589*m - 2*m**5 - 6*m**4.
-2*m**4*(m + 3)
Let k(s) be the second derivative of -s**5/5 + 5*s**4/8 - s**3/2 - s**2/4 - s - 19. Factor k(l).
-(l - 1)**2*(8*l + 1)/2
Let g = 24/67 + -34/469. Factor 0*p**2 + 0 - 2/7*p**3 + 0*p + g*p**4.
2*p**3*(p - 1)/7
Suppose 2*t + 8 = 6*t. Let 15 - 16*p**t - 15 - 12*p**2 - 8*p = 0. Calculate p.
-2/7, 0
Let x(r) be the first derivative of -r**6/18 + 8*r**5/15 - 3*r**4/2 + 9*r**2/2 - 43. Let x(g) = 0. What is g?
-1, 0, 3
Suppose 3*f - 3 = 18. Factor -71 + 13*b + 19*b + f - 4*b**2.
-4*(b - 4)**2
Let i(p) = -p**3 - 3*p**2 + p - 1. Let j be i(-4). Let -13 - 14*y**4 - 26*y**3 - 8*y**5 + 11 + 5*y**5 - j*y - 24*y**2 = 0. What is y?
-1, -2/3
Let t(k) be the third derivative of -k**7/1050 + k**6/50 - k**5/30 - k**4/10 + 11*k**3/30 - 42*k**2 - 3*k. Factor t(i).
-(i - 11)*(i - 1)**2*(i + 1)/5
Let y(n) = 3*n**2 + 6*n + 5. Let a(g) = 13*g**2 + 25*g + 21. Suppose 0 = -4*f - 5*r - 11, -4*r + 4 - 29 = 5*f. Let o(b) = f*y(b) + 2*a(b). Factor o(p).
-(p + 1)*(p + 3)
Let i be 22/99 + (-70)/(-9). Suppose 4 = -2*j + i. Factor 15*z**2 - z + 0 + 1 + 10*z + 16*z**3 + 9*z**j.
(z + 1)*(4*z + 1)**2
Suppose -13/3*j**3 + 32/3 - 1/3*j**5 + 64/3*j - 8/3*j**4 + 26/3*j**2 = 0. Calculate j.
-4, -1, 2
Let d be (-6)/(-4)*3*(-16)/(-36). Let m(c) = -2*c**2 - 34*c - 62. Let u(q) = 3*q**2 + 69*q + 123. Let j(a) = d*u(a) + 5*m(a). Factor j(w).
-4*(w + 4)**2
Let f = 35 - 36. Let k(s) = s**3 - 10*s**2 - 19*s + 4. Let n(l) = -l**3 - l + 1. Let v(h) = f*k(h) + 4*n(h). Factor v(a).
-5*a*(a - 3)*(a + 1)
Let i(n) = n - 3. Let p be i(7). Suppose -1 = 5*w - 1. Determine c, given that -4*c**2 + w*c**2 - p*c**3 - 50*c + 50*c = 0.
-1, 0
Let i be (156/65)/((-13)/(325/(-70))). Factor -i*x**3 + 0 + 3/7*x**5 + 12/7*x**4 + 27/7*x - 36/7*x**2.
3*x*(x - 1)**2*(x + 3)**2/7
Let c(n) = 104*n + 731. Let v be c(-7). Find f, given that 1 - 1/4*f**v - 3/4*f**2 + 0*f = 0.
-2, 1
Factor -55*o**3 - 63*o**2 - 25*o + 28*o**2 + 44*o**3 - o**4.
-o*(o + 1)*(o + 5)**2
Factor 241*p**4 - 120*p**4 - 312*p**3 - 124*p**4 + 33696*p - 7464*p**2 - 34992.
-3*(p - 2)**2*(p + 54)**2
Suppose 0 + 36/5*g**4 - 20*g**3 - 32/5*g - 168/5*g**2 = 0. What is g?
-1, -2/9, 0, 4
Let y(x) be the third derivative of x**7/60 + 89*x**6/240 + 359*x**5/120 + 415*x**4/48 - 25*x**3/2 + 15*x**2 - 4. Solve y(z) = 0.
-5, -3, 2/7
Suppose 0 = -30*w + 33*w - 6. Let y(b) = -b**3 + 2*b**2 + b. Let k be y(-1). Factor j**k - 3 + 2 - 2*j**w + 2.
-(j - 1)*(j + 1)
Let g(q) be the third derivative of -3*q**6/280 - 13*q**5/84 - q**4/12 - 61*q**2. Solve g(b) = 0.
-7, -2/9, 0
Suppose 16 + 8 = 12*v. Let d(p) be the first derivative of -p**v - 9/5*p**5 - 1/3*p**6 + 0*p - 5 - 7/2*p**4 - 3*p**3. Suppose d(w) = 0. What is w?
-2, -1, -1/2, 0
Let t(o) = -2*o**2 - 2*o + 4. Let w be t(-2). Let r(i) be the third derivative of -1/24*i**4 - 5*i**2 + 0 - 1/60*i**5 + w*i + 0*i**3. Factor r(x).
-x*(x + 1)
Let g(v) be the first derivative of v**5/30 + 2*v**4/3 + 26*v**3/9 + 4*v**2 - 895. Solve g(z) = 0.
-12, -2, 0
Let t be 2/(-3) - -10*40/150. Factor 0 + 0*x + 0*x**3 + 1/3*x**4 - 1/3*x**t.
x**2*(x - 1)*(x + 1)/3
Let r(z) be the second derivative of z**6/60 + 2*z**5/15 + z**4/3 + 5*z**2/2 - 2*z. Let k(u) be the first derivative of r(u). Factor k(t).
2*t*(t + 2)**2
Suppose -44*l**2 + 59 - 11 + 155*l + 49*l**2 + 102 = 0. Calculate l.
-30, -1
Let c(a) be the first derivative of -2*a**5/35 + 5*a**4/14 - 6*a**3/7 + a**2 - 4*a/7 + 50. Factor c(j).
-2*(j - 2)*(j - 1)**3/7
Let z(m) be the first derivative of 3*m**5/35 - 3*m**4/14 - 36*m**3/7 + 243*m**2/7 - 81*m - 52. Determine j so that z(j) = 0.
-7, 3
Factor 3/2*b + 3 - 3/2*b**2.
-3*(b - 2)*(b + 1)/2
Determine w, given that 30*w**4 - 5*w**5 - 62*w**2 + 30*w + 112*w**2 - 45*w - 60*w**3 = 0.
0, 1, 3
Find d, given that -101*d**3 - 3655*d**2 + 20*d**4 - 15*d**3 + 3585*d**2 + 0*d**4 - 159*d**3 = 0.
-1/4, 0, 14
Let l(t) be the second derivative of -5*t + 1/50*t**5 + 0*t**2 + 1/150*t**6 - 1/15*t**3 + 0 - 1/60*t**4. Determine q so that l(q) = 0.
-2, -1, 0, 1
Let c(n) be the first derivative of 5/6*n**4 + 0*n + 4/3*n**2 + 8/3*n**3 - 16. Factor c(h).
2*h*(h + 2)*(5*h + 2)/3
Factor -33/5*p - 116/5 - 1/5*p**2.
-(p + 4)*(p + 29)/5
Let a(t) be the third derivative of -5/3*t**3 - 1/8*t**6 + 1/6*t**5 + 5/8*t**4 + 19*t**2 + 0 + 0*t. What is r in a(r) = 0?
-1, 2/3, 1
Let u(x) be the third derivative of 100/33*x**3 + 5/33*x**4 + 8*x + 1/330*x**5 + 0 + 2*x**2. What is o in u(o) = 0?
-10
Let o(v) be the third derivative of 25*v**2 + 1/20*v**5 - 11/2*v**3 + 5/4*v**4 + 0 + 0*v. Determine h so that o(h) = 0.
-11, 1
Let j(w) = w**3 - w**2 - w. Let q be j(2). Suppose 0 = -3*b + 8 - q. Factor -m**2 - 3*m**2 - 3*m + 3*m**3 + 3 + m**b.
3*(m - 1)**2*(m + 1)
Suppose 7*a + 39 + 24 = 0. Let v = 11 + a. Factor -4/7*y - 2/7*y**3 + 0 - 6/7*y**v.
-2*y*(y + 1)*(y + 2)/7
Let l(v) be the third derivative of v**7/504 + v**6/36 + v**5/8 - 29*v**4/24 + 24*v**2. Let s(c) be the second derivative of l(c). Factor s(f).
5*(f + 1)*(f + 3)
Let d(c) 