 + 1. Factor l(c).
2*(c + 1)**3*(3*c - 2)/3
Let c(n) be the second derivative of n**9/22680 - n**8/3360 + n**7/1260 - n**6/1080 - n**4/3 - n. Let s(i) be the third derivative of c(i). Factor s(q).
2*q*(q - 1)**3/3
Let v(a) be the first derivative of -2*a**6 + 56*a**5/5 - 14*a**4 - 32*a**3/3 + 34*a**2 - 24*a - 10. Find b, given that v(b) = 0.
-1, 2/3, 1, 3
Let y(a) be the first derivative of -3*a**4/16 - 21*a**3/4 - 441*a**2/8 - 1029*a/4 + 3. Find i, given that y(i) = 0.
-7
Factor -6/5*x - 3/5*x**2 + 0.
-3*x*(x + 2)/5
Suppose 3*h + 3*b = 12, 5*h - 5*b = -4*b + 14. Let l(o) be the second derivative of -1/20*o**5 - 5/12*o**4 - 2*o**2 - 4*o + 0 - 4/3*o**h. Factor l(j).
-(j + 1)*(j + 2)**2
Let w(t) be the first derivative of -2*t**6/3 + 14*t**5/5 - 7*t**4/2 + 4*t**3/3 + 29. Find x such that w(x) = 0.
0, 1/2, 1, 2
Let n(c) be the first derivative of 1/8*c**4 + 0*c - 7 + 1/4*c**2 + 1/3*c**3. Factor n(m).
m*(m + 1)**2/2
Suppose -5 = -3*b + 1. Let l(j) be the first derivative of -5/8*j**4 + b*j - 2 + 17/6*j**3 - 4*j**2. Factor l(v).
-(v - 2)*(v - 1)*(5*v - 2)/2
Suppose -o = 2 - 4. Suppose -m = l + 1, -m = -2*l - 0*l + 13. What is a in -4 + 3 + 2*a + 2*a**5 - 3*a**3 - a**3 - 4*a**2 + o*a**l + 3 = 0?
-1, 1
Let c be 1*4 + 98/(-28). Factor 0 + 0*a**3 + 0*a + c*a**2 - 1/2*a**4.
-a**2*(a - 1)*(a + 1)/2
Let d(i) be the first derivative of -i**6/6 - 23*i**5/35 - 27*i**4/28 - 13*i**3/21 - i**2/7 - 61. Find z, given that d(z) = 0.
-1, -2/7, 0
Let q = 11 - 7. Factor 1 + 0*k**4 + 5*k**3 + k**4 + 6*k**2 + q*k - k**3.
(k + 1)**4
Suppose -4*m = -6*m + 116. Let i = m - 231/4. Factor 1/4 - i*k**2 + 0*k.
-(k - 1)*(k + 1)/4
Let r be 36/15 - 2/5. Let -4*h**3 - 11*h**2 + 2 + 4*h + 11*h**r - 2*h**4 = 0. Calculate h.
-1, 1
Let v(c) be the second derivative of -8/35*c**5 + 3/35*c**6 + 2/21*c**3 + 5/42*c**4 + 0 - 3*c + 0*c**2. Factor v(t).
2*t*(t - 1)**2*(9*t + 2)/7
Let a(j) be the second derivative of j**6/30 - j**5/10 + j**4/12 + 9*j. Factor a(z).
z**2*(z - 1)**2
Let j = 778 - 775. Solve 2/7*w**2 + 0 + 1/7*w**j + 1/7*w = 0 for w.
-1, 0
Suppose 0 = -5*a + 2*a + 9. Suppose 0 = -4*f - 5*n - 6 - 9, -n - 3 = -2*f. Determine s, given that 0*s + 2/9*s**4 - 4/9*s**a + f + 2/9*s**2 = 0.
0, 1
Let p(x) = x**2 + 6*x + 2. Let i be p(0). Solve -4/9*k**5 - 10/9*k**4 + 10/9*k**i + 0 + 4/9*k + 0*k**3 = 0 for k.
-2, -1, -1/2, 0, 1
Let x(b) be the first derivative of -b**4/2 + 2*b**3/3 - 9. Let x(l) = 0. Calculate l.
0, 1
Let z be (-6)/5*(-80)/24. Suppose 0 = -2*r, z*x + 3*r = -0*r + 28. Let 15*l**2 + 12 - 21*l - x*l + 0*l**2 - 3*l**3 + 4*l = 0. What is l?
1, 2
Let j(r) be the first derivative of -3*r**4/20 - 3*r**3/5 + 6*r**2/5 + 53. Suppose j(b) = 0. What is b?
-4, 0, 1
Let h(s) = -2*s + 18. Let j be h(8). Determine b so that 0 + 2/3*b**j - 2/3*b**3 + 0*b = 0.
0, 1
Let z(y) be the first derivative of 2*y**5/5 - 5*y**4/6 + 2*y**3/9 + y**2/3 + 3. Factor z(c).
2*c*(c - 1)**2*(3*c + 1)/3
Let m(s) be the first derivative of s**6/15 + s**5/5 - 2*s**3/3 - s**2 + 2*s + 3. Let a(k) be the first derivative of m(k). Factor a(u).
2*(u - 1)*(u + 1)**3
Let a be 1 - -5 - (9 + -2 + -4). Let z be (-1*4)/(1 + -2). Let -4*j + 5*j**4 + 80*j**5 - 192*j**5 + 19*j**z - 6*j**2 + 44*j**a = 0. What is j?
-1/2, -2/7, 0, 1/2
Factor -1/5 - 1/5*r**4 + 1/5*r**5 + 1/5*r + 2/5*r**2 - 2/5*r**3.
(r - 1)**3*(r + 1)**2/5
Let h be (-3)/15*(-1 + 10/(-15)). Let u(t) be the third derivative of 1/105*t**7 + 4/15*t**5 - h*t**4 + 0*t**3 + 0 + 0*t - 2*t**2 - 1/12*t**6. Factor u(p).
2*p*(p - 2)**2*(p - 1)
Let b(s) be the third derivative of s**6/120 - s**5/60 + 3*s**2. Let b(i) = 0. Calculate i.
0, 1
Let h(q) be the second derivative of -q**7/2940 + q**6/420 - q**5/140 + q**4/84 - 2*q**3/3 + 3*q. Let r(d) be the second derivative of h(d). Factor r(z).
-2*(z - 1)**3/7
Let l be ((-84)/(-24))/(2/(-8)). Let c = l + 19. Determine k so that 4/3*k**2 + 0*k**3 - 4/3*k**4 + 2/3*k**c - 2/3*k + 0 = 0.
-1, 0, 1
Let n be (-1)/2*2/(-3). Let v = 4/3 + -2/3. Factor -n*c**2 + v + 1/3*c.
-(c - 2)*(c + 1)/3
Determine n, given that -n**3 + n + 1/2*n**4 + 0*n**2 - 1/2 = 0.
-1, 1
Let l = 674/3 + -222. Let l*t + 1/3*t**3 + 5/3*t**2 + 4/3 = 0. What is t?
-2, -1
Let o(g) be the third derivative of -g**7/3360 + g**6/320 - g**5/80 + 7*g**4/24 - 4*g**2. Let q(p) be the second derivative of o(p). Factor q(r).
-3*(r - 2)*(r - 1)/4
Let f be 75/(-27) + (-4)/18. Let q be (-1 - 0) + (0 - f). Factor 5*h**q - 4*h**2 - h - 2*h**2.
-h*(h + 1)
Suppose 4*q - 8 = 2*q. Let x(o) be the first derivative of 0*o**2 + 0*o + 0*o**3 - 1/16*o**4 - q. Factor x(a).
-a**3/4
Let t = 1475/3 + -491. Factor 2*w**2 - t*w + 0 - 2*w**3 + 2/3*w**4.
2*w*(w - 1)**3/3
Let k(g) = -27*g**2 + 14*g + 4. Let h(t) be the third derivative of 13*t**5/60 - 7*t**4/24 - t**3/3 - 6*t**2. Let x(n) = -9*h(n) - 4*k(n). Factor x(u).
-(u - 1)*(9*u + 2)
Factor 2*r + 12/5*r**2 - 2/5.
2*(r + 1)*(6*r - 1)/5
Let b(h) be the third derivative of h**7/3780 + h**6/1620 + h**3 + 2*h**2. Let u(v) be the first derivative of b(v). Suppose u(y) = 0. Calculate y.
-1, 0
Let x(h) be the first derivative of -8*h**3 + 6*h**2 - 4 - 6/5*h**5 + 5*h**4 - 2*h. Find d, given that x(d) = 0.
1/3, 1
Let s(p) be the third derivative of 0 + 1/240*p**5 + 1/96*p**4 + 0*p + 0*p**3 - 2*p**2. Let s(t) = 0. What is t?
-1, 0
Let x(c) be the first derivative of 1/4*c + 1/2*c**2 + 1/4*c**3 + 4. Factor x(t).
(t + 1)*(3*t + 1)/4
Let z(g) be the first derivative of -2 + 4/3*g**3 + 0*g**4 + 0*g + 0*g**2 - 1/2340*g**6 - 1/390*g**5. Let p(c) be the third derivative of z(c). Factor p(m).
-2*m*(m + 2)/13
Let j(x) be the first derivative of x**5 - 15*x**4/4 - 10*x**3/3 + 30*x**2 - 40*x + 42. Factor j(q).
5*(q - 2)**2*(q - 1)*(q + 2)
Let a = 1 - -1. Suppose 3*d = -a*d. Factor d*y**2 + 4*y - 6*y - 7*y**2.
-y*(7*y + 2)
Determine w, given that -3*w**4 + 4*w**2 + 2*w**2 - 2*w**2 - w**2 = 0.
-1, 0, 1
Let u(t) = 3*t**3 + 6*t**2 - 4*t - 4. Let a(x) = 4*x**3 + 7*x**2 - 5*x - 5. Let l(d) = 4*a(d) - 5*u(d). Factor l(h).
h**2*(h - 2)
Let n(l) be the first derivative of -7*l**5/5 - l**4/2 + 7*l**3 - 4*l**2 - 4*l - 2. Factor n(r).
-(r - 1)**2*(r + 2)*(7*r + 2)
Suppose 2*j = -j + 9. Suppose j*p - 38 = -4*r, 5*r - 31 = -3*p + 2*p. Determine n so that -2*n**2 + 0 - 4 - p*n + 0*n**2 = 0.
-2, -1
Suppose 7/2*y**3 + 0 - 5/2*y**2 - y = 0. Calculate y.
-2/7, 0, 1
Find o, given that -o**3 - 669*o**2 + 4*o + o + 665*o**2 = 0.
-5, 0, 1
Let k(x) be the second derivative of x**5/100 + x**4/40 - x**2/2 - 2*x. Let r(y) be the first derivative of k(y). Factor r(q).
3*q*(q + 1)/5
Let i = -68/13 + 2733/520. Let v(x) be the second derivative of -x + 0 - 1/12*x**3 + i*x**5 + 0*x**4 + 0*x**2. Let v(u) = 0. What is u?
-1, 0, 1
Let d(x) be the first derivative of -x**4/12 + 2*x**3/3 - 2*x**2 + 8*x/3 - 8. Factor d(n).
-(n - 2)**3/3
Let w(i) = i + 2. Let a(y) = -y**2 - y + 1. Suppose f = 4*f + 2*h - 16, -3*h = -4*f - 7. Let d(t) = f*w(t) - 2*a(t). What is b in d(b) = 0?
-1
Suppose -3*q - 3*y + 12 = -9, -5*q + 30 = 4*y. Factor 4*k**2 + 8*k - 2*k**2 + q + 6.
2*(k + 2)**2
Let n(o) be the third derivative of -2*o**7/105 - o**6/30 + 2*o**5/15 - 3*o**2. Let n(y) = 0. Calculate y.
-2, 0, 1
Suppose 6 = 4*m - 2*t, -4*m + 6 = 3*t - 5. Let j(v) = v**2 - v + 1. Let d be j(2). Factor 7*l**4 + 2*l**m - 7*l**3 - 3*l**d + 7*l**4 - 6*l**5.
-2*l**2*(l - 1)**2*(3*l - 1)
Let h(v) be the third derivative of -4*v**2 + 0*v + 3/40*v**6 + 0 + 1/112*v**8 - 1/20*v**5 + 0*v**3 - 3/70*v**7 + 0*v**4. Factor h(q).
3*q**2*(q - 1)**3
Let o(j) = 2*j**2 + 7*j + 2*j**2 - 3 - 2*j**2. Let z(i) = -3*i - 1. Let y(g) = -g. Let u(q) = 4*y(q) - z(q). Let w(r) = o(r) + 3*u(r). Factor w(s).
2*s*(s + 2)
Let p = 168 - 1510/9. Factor -4/9*s + 0 - p*s**2 + 2/9*s**3.
2*s*(s - 2)*(s + 1)/9
Let y(k) be the third derivative of -1/9*k**4 + 0 + 1/315*k**7 + 0*k + 0*k**3 + k**2 + 4/45*k**5 - 1/36*k**6. Determine h, given that y(h) = 0.
0, 1, 2
Let t be 3 + 0*(1 - 2/3). Let 1/2*x**t - 1/2*x - 1/2*x**4 - 1 + 3/2*x**2 = 0. Calculate x.
-1, 1, 2
Let x(f) be the third derivative of -1/12*f**4 + 0 + 2/3*f**3 - 1/30*f**5 - 4*f**2 + 0*f. Factor x(o).
-2*(o - 1)*(o + 2)
Let v(j) be the third derivative of -j**2 + 0 + 0*j + 1/1848*j**8 + 0*j**6 - 1/132*j**4 + 0*j**3 - 2/1155*j**7 + 1/165*j**5. Find c such that v(c) = 0.
-1, 0, 1
Let f = -747 + 750. Factor -1/4*z