rivative of 0*q**i + 0 + 1/60*q**5 + 0*q**4 + 0*q + q**2. Factor t(k).
k**2
Let h(d) be the first derivative of d**3 + 0*d**3 + 3*d**2 + 3*d + d**3 + 4 - d**3. Factor h(p).
3*(p + 1)**2
Let c be (-117)/(-36) + -3 + 0. Factor -3/4*b**3 + 3/4*b - c - 1/4*b**2 + 1/2*b**4.
(b - 1)**2*(b + 1)*(2*b - 1)/4
Let s be (2/18)/((-57)/9). Let i = 349/399 + s. Factor -6/7*t**2 - i*t - 2/7 - 2/7*t**3.
-2*(t + 1)**3/7
Find j, given that 1/6*j**3 + 2/3*j + 2/3*j**2 + 0 = 0.
-2, 0
Let y(g) be the first derivative of 0*g - 1/6*g**4 - 2 + 0*g**2 + 0*g**3 - 4/15*g**5 - 1/9*g**6. Factor y(k).
-2*k**3*(k + 1)**2/3
Suppose 0 = -4*i - 68 + 12. Let g be 16/140 - 4/i. Factor -g + 4/5*c - 2/5*c**2.
-2*(c - 1)**2/5
Let p be ((-87)/6)/((-2)/4). Let y = p - 27. Factor 3/4*l**y + 3/2 + 9/4*l.
3*(l + 1)*(l + 2)/4
Let u be (-4)/264 - (-2)/11. Let t(s) be the second derivative of -1/3*s**3 + u*s**4 - 1/15*s**6 - 2*s + 1/10*s**5 + 0 + 0*s**2. Find d such that t(d) = 0.
-1, 0, 1
Let z(b) be the third derivative of -3/4*b**3 - 1/40*b**5 + 0 + 0*b + 1/4*b**4 - 2*b**2. Factor z(l).
-3*(l - 3)*(l - 1)/2
Let x be 2/(1*21*2). Let o(y) be the third derivative of x*y**4 + 1/21*y**3 + 1/35*y**5 - 2*y**2 + 0 + 0*y + 1/105*y**6 + 1/735*y**7. Factor o(b).
2*(b + 1)**4/7
Let s(v) be the first derivative of -v**6/1080 - v**5/45 - 2*v**4/9 + 2*v**3/3 + 3. Let r(p) be the third derivative of s(p). Factor r(y).
-(y + 4)**2/3
Let w(i) be the second derivative of 2*i + 1/10*i**5 + 0*i**3 + 0*i**4 + 0 - 1/15*i**6 + 0*i**2. Suppose w(n) = 0. Calculate n.
0, 1
Suppose -h = -5*q - 5, 2*h - 4*q - 25 = -3*h. Suppose 4*p + 3*x = 2*p + h, -4*p = -4*x - 20. Factor 0 + 1/3*z**p + 1/3*z**5 - 5/3*z**2 - z**3 - 2/3*z.
z*(z - 2)*(z + 1)**3/3
Let t = -3/7 + 27/14. Let i = 12 + -12. Suppose 3/2*b**2 + 0*b**3 - t*b**4 + i + 0*b = 0. What is b?
-1, 0, 1
Suppose -4*r + 4*m = -16, r - 3*m + 4 = 12. Let y(c) = c**2 - 15*c + 26. Let j be y(13). Factor j + 1/5*k**4 + 0*k**3 - 1/5*k**r + 0*k.
k**2*(k - 1)*(k + 1)/5
Let c be 3/4 - (-245)/20. Factor c*g - 2*g**2 + 7*g - 8*g + 6*g**2.
4*g*(g + 3)
Suppose 0 = -f - 1 + 4. Let p = 749/9 - 83. Factor -p*w + 2/9*w**2 + 2/9*w**f - 2/9.
2*(w - 1)*(w + 1)**2/9
Suppose -1 - 1 = i, 5*n - i = -68. Let s be ((-4)/(-7))/((-4)/n). Find j such that 0*j**5 - s*j + 6*j - 2*j + 2*j**5 - 4*j**3 = 0.
-1, 0, 1
Let c be 164/8 + 9/6. Let a = c + -15. Factor -2*q**2 + a*q - 3 - q - 1.
-2*(q - 2)*(q - 1)
Let w = -73 - -661/9. Let y(i) be the first derivative of -4/3*i + 2 + 1/6*i**4 + w*i**3 - 1/3*i**2. Factor y(h).
2*(h - 1)*(h + 1)*(h + 2)/3
Let v(n) be the third derivative of -1/336*n**8 + 0*n + 1/630*n**7 + 1/60*n**5 - 1/36*n**4 + 1/40*n**6 + 3*n**2 + 0*n**3 + 0. Determine i so that v(i) = 0.
-1, 0, 1/3, 2
Suppose 3*g = -3*c + 24, -c = g - 4*g + 8. What is j in 2*j**2 - 3*j**2 + 0 - 4 - c*j = 0?
-2
Let o(g) be the third derivative of -g**7/2520 + g**6/360 - g**5/120 - g**4/12 - g**2. Let k(w) be the second derivative of o(w). Factor k(p).
-(p - 1)**2
Let d = -50 + 55. Suppose 0 - 2/5*a**4 + 0*a**3 + 2/5*a**2 - 1/5*a**d + 1/5*a = 0. What is a?
-1, 0, 1
Let h(j) be the third derivative of 0 + 1/168*j**8 + 0*j + 1/30*j**5 + 0*j**4 + j**2 - 1/105*j**7 - 1/60*j**6 + 0*j**3. Factor h(b).
2*b**2*(b - 1)**2*(b + 1)
Let d = 14/15 + -11/15. Factor -d*u**2 - 2/5 - 3/5*u.
-(u + 1)*(u + 2)/5
Let y be (-11 - -12)/(5/4). Let l(c) be the first derivative of -y*c**4 + 0*c - 1/5*c**2 - 4/5*c**3 + 12/25*c**5 + 3/5*c**6 + 2. Let l(k) = 0. Calculate k.
-1, -1/3, 0, 1
Let o = -2 + 2. Suppose -3*f - 2*f + 10 = o. Find b such that -2*b - 2 + 3/2*b**f = 0.
-2/3, 2
Factor t**3 + 0*t**4 - 2*t - 3*t**2 + 3*t**3 + 1 + 4*t**4.
(t + 1)**2*(2*t - 1)**2
Let i be (-2)/(-6) - (-1)/(-12). Let k be ((-8)/12)/((-4)/3). Factor i + 1/4*z**2 + k*z.
(z + 1)**2/4
Suppose 0*q = q - 3. Determine a, given that 0*a**2 + 2*a**q - 4*a**2 - 4*a**3 + 2*a**2 = 0.
-1, 0
Let z(o) be the third derivative of 0 - 3*o**2 + 1/300*o**6 + 1/75*o**5 + 0*o + 0*o**3 + 1/60*o**4. Factor z(d).
2*d*(d + 1)**2/5
Factor 8/11*r + 90/11*r**3 + 0 - 48/11*r**2 - 50/11*r**4.
-2*r*(r - 1)*(5*r - 2)**2/11
Suppose d - 4 = -5*r, -4*r + 2*d = -3*d + 20. Let c(h) be the third derivative of -1/180*h**5 + r*h - 1/72*h**4 + 0*h**3 + 2*h**2 + 0. Factor c(q).
-q*(q + 1)/3
Let r(t) be the first derivative of -t**9/9072 - t**8/5040 - t**3/3 - 1. Let s(z) be the third derivative of r(z). Factor s(p).
-p**4*(p + 1)/3
Factor 2430*g**5 + 0 + 512/3*g**2 + 1008*g**3 + 2592*g**4 + 32/3*g.
2*g*(5*g + 2)*(9*g + 2)**3/3
Let q = -3878/5 + 779. Let c = q + -3. Factor -c*r - 2/5*r**2 + 0.
-2*r*(r + 1)/5
Let f(j) be the third derivative of j**6/1320 - j**5/660 - j**4/264 + j**3/66 + 12*j**2. Factor f(r).
(r - 1)**2*(r + 1)/11
Let k(l) be the second derivative of l**7/147 - l**6/105 - l**5/35 + l**4/21 + l**3/21 - l**2/7 + 4*l. Factor k(d).
2*(d - 1)**3*(d + 1)**2/7
Let u(w) = 2*w**3 + 6*w**2 - 2*w - 2. Let f(h) = h**3 + 7*h**2 - h - 1. Let l(s) = 2*f(s) - 3*u(s). Let l(v) = 0. Calculate v.
-1, 1
Let v(u) be the first derivative of 4*u**5/85 - 5*u**4/34 + 2*u**3/51 + 2*u**2/17 + 2. Find w such that v(w) = 0.
-1/2, 0, 1, 2
Let f(u) be the second derivative of u**7/84 + u**6/20 + u**5/20 - u**4/12 - u**3/4 - u**2/4 + 5*u - 3. Factor f(s).
(s - 1)*(s + 1)**4/2
Let d(l) be the first derivative of l**4/28 + l**3/21 - 29. Factor d(c).
c**2*(c + 1)/7
Let t(r) be the second derivative of -1/40*r**5 + 1/120*r**6 - 3*r + 0*r**4 + 1/12*r**3 - 1/8*r**2 + 0. Factor t(o).
(o - 1)**3*(o + 1)/4
Let f be (1*2)/((-4)/(-6)). Let z be (1*(-3)/18)/((-26)/39). Find g such that 0*g**4 + 1/4 - g**5 + 7/4*g**f - 3/4*g - z*g**2 = 0.
-1, 1/2, 1
Let i(j) = 2*j**2 + 3*j + 1. Let m(a) = a**2 + 2*a + 1. Let o(w) = 3*w - 1. Let l be o(2). Let p(r) = l*m(r) - 3*i(r). Let p(s) = 0. What is s?
-1, 2
Let j(p) be the second derivative of p**6/45 + p**5/6 + 4*p**4/9 + 4*p**3/9 + 10*p. Suppose j(f) = 0. What is f?
-2, -1, 0
Let k(g) be the first derivative of -5*g**4/4 + 5*g**3 + 14. Factor k(d).
-5*d**2*(d - 3)
Let k(f) = 13*f**3 - 11*f**2 + 5*f + 5. Let g(d) = -19*d**3 + 17*d**2 - 7*d - 7. Let p(z) = -5*g(z) - 7*k(z). What is s in p(s) = 0?
0, 2
Let s be (-4)/8 - 3/30. Let n = s - -17/20. Factor 0 - n*t + 1/4*t**3 + 0*t**2.
t*(t - 1)*(t + 1)/4
Let b(i) be the first derivative of -2*i**6/3 + 4*i**5/5 + 3*i**4 - 4*i**3/3 - 4*i**2 - 39. Suppose b(t) = 0. What is t?
-1, 0, 1, 2
Let y(s) be the second derivative of 3*s**5/100 - s**4/10 - 3*s**3/10 - 11*s. Factor y(u).
3*u*(u - 3)*(u + 1)/5
Factor 0 - 3/4*w**2 - 3/8*w**3 - 3/8*w.
-3*w*(w + 1)**2/8
Let w(r) be the first derivative of r**3/9 - r/3 - 8. Factor w(j).
(j - 1)*(j + 1)/3
Suppose -7*v + 2*v - 8 = z, -4*z + 16 = -4*v. Suppose 2*u + 38*u**4 - u**2 + 2*u**2 - 39*u**4 - z*u**3 = 0. What is u?
-2, -1, 0, 1
Let q(c) = 5*c**4 + 3*c**5 - c**4 - c - 2*c**4 + 7*c**2 - 9*c**2. Let f(o) = -o**5. Let z(n) = -2*f(n) - q(n). Factor z(u).
-u*(u - 1)*(u + 1)**3
Let i = -33 + 33. Factor 0*t + 1/2*t**2 + i.
t**2/2
Let c(a) be the second derivative of 0 - 1/5*a**2 - 1/60*a**4 - 4*a - 1/10*a**3. Factor c(j).
-(j + 1)*(j + 2)/5
Let s(k) = -k + 1. Let l(i) = i**2 - 3*i + 5. Let d(c) = 2*l(c) - 10*s(c). Let d(u) = 0. Calculate u.
-2, 0
Let z(h) be the third derivative of h**7/280 - h**6/40 + h**5/20 - 10*h**2. Find n, given that z(n) = 0.
0, 2
Let l(b) be the second derivative of -b**4/60 + b**3/15 + 2*b. Find o, given that l(o) = 0.
0, 2
Let d(r) = 4*r**4 + 5*r**3 - 4*r**2 - 5. Let j(k) = -5*k**4 - 6*k**3 + 5*k**2 + 6. Suppose 6*b + 12 = 8*b. Let n(y) = b*d(y) + 5*j(y). Let n(p) = 0. What is p?
-1, 0, 1
Determine f, given that -2/7*f**4 - 40/7*f - 16/7 - 36/7*f**2 - 2*f**3 = 0.
-2, -1
Let m(w) be the third derivative of -w**7/70 - 3*w**6/40 - w**5/20 + 3*w**4/8 + w**3 + 8*w**2. Determine o, given that m(o) = 0.
-2, -1, 1
Let a = -26/3 - -9. Let n(v) be the second derivative of 1/45*v**6 + 1/63*v**7 - 1/9*v**4 + 1/9*v**3 - 3*v + 0 - 1/15*v**5 + a*v**2. Factor n(x).
2*(x - 1)**2*(x + 1)**3/3
Let r be (1 - 0)/((-5)/(-20)). Suppose -3*n**r + 1 + 2*n**4 - 6*n**2 - 4*n**3 - 4*n + 0*n - 2 = 0. Calculate n.
-1
Let o(q) be the second derivative of 7*q**6/60 - 9*q**5/40 + q**4/12 + 10*q. Find i such that o(i) = 0.
0, 2/7, 1
Let t(v) = 6*v. Let k(a) = -a**2 + a. Let n(u) = -3*k(u) + t(u). Solve n(s) = 0.
-1