ven that b(m) = 0.
-1, 0, 1
Factor -11 + 4*y**3 + 11 + 4*y**4.
4*y**3*(y + 1)
Let x(i) be the first derivative of i**6/30 - i**5/5 + i**4/2 - 2*i**3/3 + i**2/2 + 3*i + 6. Let o(q) be the first derivative of x(q). Factor o(r).
(r - 1)**4
Let -70*x**2 - 8*x**4 + 21 + 6*x**2 - 44*x**3 - 4*x + 3 = 0. Calculate x.
-3, -2, -1, 1/2
Let a = 75/14 - 1/42. Let n(m) be the first derivative of 0*m - 9/5*m**5 - a*m**3 - 2*m**2 - 3 - 21/4*m**4. Solve n(s) = 0 for s.
-1, -2/3, 0
Let b = -3 - -6. Suppose -2*p + 4*l + 3 + 5 = 0, 10 = b*p - 4*l. Solve 2*x**4 - x - 3*x**2 + 3*x**3 - 3*x**4 + p*x = 0.
0, 1
Let t(y) be the first derivative of -3 + 1/2*y**4 - 2/3*y**3 + 0*y**2 + 0*y. Determine h, given that t(h) = 0.
0, 1
Let i(s) be the second derivative of s**4/8 - s**3/2 - 9*s**2/4 + 22*s. What is f in i(f) = 0?
-1, 3
Let n(a) = a - 5. Let v be n(7). Factor 2*y**3 - 3*y**v + 2*y**2 + 9*y**2 + 10*y - 1 + 5.
2*(y + 1)**2*(y + 2)
Factor -18*l**2 + 2*l - 3255 + 2*l**4 + 6*l + 3279.
2*(l - 2)**2*(l + 1)*(l + 3)
Factor -16*n**3 - 1/6*n**5 - 128/3*n + 128/3*n**2 + 0 + 8/3*n**4.
-n*(n - 4)**4/6
Let i(b) be the first derivative of -b**4/42 - b**3/21 + 2*b**2/7 - 4*b - 2. Let n(z) be the first derivative of i(z). Find v, given that n(v) = 0.
-2, 1
Let z(x) be the second derivative of -x**5/30 - x**4/6 - x**3/3 - 3*x**2/2 + 2*x. Let h(q) be the first derivative of z(q). Solve h(l) = 0.
-1
Suppose -8*j + 20 = -6*j. Let m be (-24)/(-45) - 2/j. Factor -m*c**3 + 1/3 + 1/3*c - 1/3*c**2.
-(c - 1)*(c + 1)**2/3
Let r(h) be the first derivative of 0*h + 1/14*h**6 + 0*h**5 - 3/28*h**4 - 9 + 0*h**2 + 0*h**3. Factor r(u).
3*u**3*(u - 1)*(u + 1)/7
Let m(z) be the second derivative of z**4/6 - 15*z. Solve m(s) = 0.
0
Suppose 24 = y - 4*w, -2*y + 4*w + 40 = 3*y. Solve 5*r**2 + r**4 + 0*r**y - 6*r**2 = 0.
-1, 0, 1
Let n be 3/2*(0 + 2). Factor 5*d + 9*d**2 - 2*d**4 + d**3 - 3*d - n*d**3 - 7*d**2.
-2*d*(d - 1)*(d + 1)**2
Let f be (-54)/(-12)*28/(-6). Let l be 1*12/f - -2. Factor 8/7*t**3 - l*t - 4/7*t**2 - 4/7 + 8/7*t**4 + 2/7*t**5.
2*(t - 1)*(t + 1)**3*(t + 2)/7
Let x(t) be the second derivative of 0 + 2*t - 1/15*t**6 + 0*t**4 + 0*t**5 + 0*t**2 + 0*t**3. Find h such that x(h) = 0.
0
Let h(n) be the third derivative of -n**9/272160 - n**8/15120 - n**7/1890 - n**6/405 + n**5/15 - 3*n**2. Let d(s) be the third derivative of h(s). Factor d(x).
-2*(x + 2)**3/9
Let i(z) be the first derivative of -z**3/3 - z**2 - z + 9. Factor i(b).
-(b + 1)**2
Suppose -24 = 2*o + 2*o. Let a be o/(-4)*(-100)/(-525). Factor 0 + 0*j + 2/7*j**3 - 2/7*j**2 + a*j**4 - 2/7*j**5.
-2*j**2*(j - 1)**2*(j + 1)/7
Let z(v) be the third derivative of v**5/390 - v**4/78 + v**3/39 + 12*v**2. Factor z(g).
2*(g - 1)**2/13
Let x be 6/((3 + -9)/(-3)). Let w(n) be the third derivative of 0*n**4 + 1/30*n**5 - 1/30*n**6 - 3*n**2 + 0*n + 0 + 0*n**x + 1/105*n**7. Factor w(m).
2*m**2*(m - 1)**2
Find g, given that -2/3*g**5 + 0 + 0*g**3 + 2/3*g - 4/3*g**2 + 4/3*g**4 = 0.
-1, 0, 1
Let r(v) be the second derivative of v**7/315 + 2*v**6/225 - 4*v**5/75 - 8*v**4/45 + 16*v**3/45 + 32*v**2/15 - 5*v. Determine n, given that r(n) = 0.
-2, 2
Let g be 368/24 + 4/6. Let h be (-45)/(-42) - g/28. Factor 0 - h*f**3 - f**2 - 1/2*f.
-f*(f + 1)**2/2
Suppose 2 = f - 3*f. Let a = f + 5. Determine u so that 0*u**5 + 3*u**4 - u**5 - a*u**4 = 0.
-1, 0
Let n = 7/39 + 2/13. Let s(k) be the first derivative of 0*k**2 + 0*k + n*k**3 + 1. What is j in s(j) = 0?
0
Suppose 3*q + 4*h = -0*h - 19, q - 19 = 5*h. Let m be 0 + (-1 - q)/2. Factor -t**5 - 2*t + m*t - t**5 + 4*t**3.
-2*t*(t - 1)**2*(t + 1)**2
Let x be (-4)/(0 + -4) + 1. Let y(z) be the second derivative of z**x - 2*z + 0 - 2/3*z**3 + 1/6*z**4. Factor y(v).
2*(v - 1)**2
Let p(d) be the first derivative of d**3/12 - d**2/4 - 3*d/4 - 3. Solve p(o) = 0.
-1, 3
Factor 4/9*c**3 + 0*c - 2/9*c**4 + 0 - 2/9*c**2.
-2*c**2*(c - 1)**2/9
Let v = 123 - 120. Find p, given that 0*p**v + 0 + 0*p - 1/5*p**2 + 1/5*p**4 = 0.
-1, 0, 1
Let y = -143/3 + 49. Factor -y*q - 4/3 - 1/3*q**2.
-(q + 2)**2/3
Suppose 4 + 50 = 9*r. Let t(k) be the second derivative of 1/105*k**r + 0 - 1/70*k**5 + 0*k**2 - 1/42*k**4 + 1/21*k**3 - 2*k. Factor t(w).
2*w*(w - 1)**2*(w + 1)/7
Let v be (8/(-6))/((-2)/(-36)). Let u be (-2)/7 + v/(-14). Solve -10/7*y**3 + u*y + 4/7 - 4/7*y**2 = 0 for y.
-1, -2/5, 1
Suppose 2*p = -3 - 13. Let a(n) = n**3 + 7*n**2 - 8*n + 2. Let i be a(p). Factor 0 + 0*b - 1/2*b**i.
-b**2/2
Suppose -4 = 4*m + 4*l, 5*l + 2 = 3*l. Find t such that -2/9*t**5 + 4/9*t**4 + 0*t + m*t**2 + 0 + 0*t**3 = 0.
0, 2
Suppose 6*x**3 - x**5 - x**3 + 4 - 6 + 4*x**4 - 2*x**2 - 9*x**3 + 5*x = 0. Calculate x.
-1, 1, 2
Let w(k) = 6*k**2 + 9*k - 8. Suppose -2*d + 5*q = -0*q - 27, -2*d = -3*q - 21. Let f(h) = 5*h**2 + 8*h - 7. Let x(y) = d*w(y) - 7*f(y). Factor x(o).
(o - 1)**2
Let d = -233 + 1169/5. Factor -d*p**2 - 2/5*p**3 - 2/5*p + 0.
-2*p*(p + 1)**2/5
Let z = 28 + -13. Suppose -3*j - z = -3*n, -5 + 0 = -n. What is x in 4*x - 2*x**2 + 0 + 2 - 4 + j*x = 0?
1
Let t(a) be the first derivative of -a**4/4 - 2*a**3 - 6*a**2 + 6*a + 7. Let s(u) be the first derivative of t(u). Factor s(r).
-3*(r + 2)**2
Let w = -4 - -9. Solve 2*r + w - 2*r**2 - 5 = 0 for r.
0, 1
Let v = 54/7 + -50/7. Let j(w) = -w**3 + 5*w**2 - 9*w + 93. Let d be j(6). Factor 0*r**2 + 2/7*r**4 + v*r - 2/7 - 4/7*r**d.
2*(r - 1)**3*(r + 1)/7
Suppose 0 = 86*p - 88*p + 4. Let o(r) be the second derivative of -1/60*r**4 + 1/30*r**3 + 0 + r + 0*r**p. Find g such that o(g) = 0.
0, 1
Let i(o) be the third derivative of -1/80*o**6 + 0*o + 3*o**2 + 1/6*o**3 - 1/8*o**4 + 13/240*o**5 + 0 + 1/840*o**7. Factor i(w).
(w - 2)**2*(w - 1)**2/4
Factor -204*u**4 - 771*u**4 + 1446*u**3 - 7200*u**2 - 768 + 3840*u - 900*u**4 + 4554*u**3.
-3*(5*u - 4)**4
Let p(b) be the first derivative of -2*b**4 + 8*b**3 - 6*b**2 - 28*b + 6. Let w(k) = k**3 - k**2 + k + 1. Let r(x) = -p(x) - 12*w(x). What is d in r(d) = 0?
-2, 1
Suppose -5 = 2*b - 17. Factor -4 + 2*o + o**2 - 1 + b.
(o + 1)**2
Let c(n) be the third derivative of -n**6/780 - 4*n**5/195 - n**4/12 - 2*n**3/13 - 23*n**2. Suppose c(a) = 0. What is a?
-6, -1
Let d(l) = l**3 - 7*l**2 + 2. Let c be d(7). Factor 0*k**5 + 0 + 0*k - 1 + 5*k - 3*k**5 - 6*k**c + 7*k**4 - 2*k**3.
-(k - 1)**3*(k + 1)*(3*k - 1)
Let w = 21 + -21. Factor w*b + 1/3*b**2 + 0.
b**2/3
Let u(g) be the third derivative of g**6/80 - 3*g**4/16 + g**3/2 - 10*g**2. What is i in u(i) = 0?
-2, 1
Let w(x) = -2*x - 8. Let b be w(-5). Factor -b*k + k**2 - 4*k + 3*k + 0 + 2.
(k - 2)*(k - 1)
Let c be -1 - (3 + (-1 - 1)). Let u(w) = -4 + 2 - 9*w - 4*w**2 + 0*w**2 + 10. Let b(v) = 2*v**2 + 4*v - 4. Let g(l) = c*u(l) - 5*b(l). Factor g(o).
-2*(o - 1)*(o + 2)
Let h be (2/(-7))/((-1)/7). Factor k + 0*k - 2*k**2 + 4*k**h + k.
2*k*(k + 1)
Let v(o) be the first derivative of -o**6/60 - o**5/30 + o**4/12 + o**3/3 - 2*o**2 - 4. Let b(z) be the second derivative of v(z). Factor b(g).
-2*(g - 1)*(g + 1)**2
Let y be (-12)/(4 + (-203)/14). Determine z so that -8/7*z - 2/7*z**2 - y = 0.
-2
Let d(i) = -1. Let h(u) = u**2 + 4*u + 7. Let c(g) = 4*d(g) + h(g). Find x, given that c(x) = 0.
-3, -1
Determine z so that 2 + 20*z - 10*z + z**2 - 7*z = 0.
-2, -1
Let k(v) be the third derivative of v**5/240 - v**3/24 - 4*v**2. Factor k(q).
(q - 1)*(q + 1)/4
Let c(v) be the first derivative of 3 + 0*v**2 + 3/20*v**5 + 3/16*v**4 + 1/24*v**6 + 0*v + 1/12*v**3. Let c(f) = 0. Calculate f.
-1, 0
Let o(r) be the second derivative of -r**6/1620 + r**4/108 - r**3/2 + 3*r. Let i(v) be the second derivative of o(v). Factor i(m).
-2*(m - 1)*(m + 1)/9
Solve -1/3*z**2 + 0 - 4/3*z = 0.
-4, 0
Let x(n) be the third derivative of -n**5/12 + 55*n**4/12 - 605*n**3/6 - 22*n**2. Solve x(s) = 0 for s.
11
Let r(m) be the second derivative of -m**10/75600 + m**9/37800 + m**8/16800 - m**7/6300 + m**4/6 + 4*m. Let z(x) be the third derivative of r(x). Factor z(p).
-2*p**2*(p - 1)**2*(p + 1)/5
Let a = 108/427 - -2/61. Factor 0*s + 4/7*s**3 + 0*s**2 - a*s**4 + 0.
-2*s**3*(s - 2)/7
Factor 5/3*u + 5*u**2 + 0.
5*u*(3*u + 1)/3
Let a(i) be the second derivative of -i**7/1260 + i**6/225 + i**5/75 + i**4/3 + 4*i. Let x(q) be the third derivative of a(q). Find k, given that x(k) = 0.
-2/5, 2
Let z(d) be the third derivative of 1/84*d**8 + 4/15*d**5 + 1/6*d**4 - 1/15*d**6 - 