2 + 7*r - 7. Let p(i) = s*v(i) - 6*j(i). Find w such that p(w) = 0.
0, 2
Let f(p) be the first derivative of 0*p**2 - 2/7*p**4 - 2/35*p**5 - 8/21*p**3 + 16 + 0*p. Factor f(g).
-2*g**2*(g + 2)**2/7
Let k = -942 - -949. Let n(x) be the third derivative of 1/252*x**k + 0*x + 0 + 1/9*x**3 - 1/24*x**5 - 1/36*x**4 + 7*x**2 - 1/360*x**6. Factor n(b).
(b - 2)*(b + 1)**2*(5*b - 2)/6
Let r(w) = 4*w**2 - 4*w - 8. Let a(b) = -b - 1. Suppose 4 + 2 = 6*d. Let x(p) = d*r(p) + 4*a(p). Find t, given that x(t) = 0.
-1, 3
Let a(y) = -y**4 + y**2 - y. Let l = 2 + -3. Let u(n) = 3*n**4 + 3*n**3 + n. Let h(b) = l*a(b) - u(b). Factor h(p).
-p**2*(p + 1)*(2*p + 1)
Let a be (-180)/18*(-2)/(-4). Let k be 4 + a/((-15)/(-12)). Factor k*q + 1/2*q**2 + 0.
q**2/2
Factor 99*v**3 + 16*v + 3*v**5 + 32*v + 28*v**4 - 253*v**2 - 83*v**2 + 14*v**4 + 144*v.
3*v*(v - 1)**2*(v + 8)**2
Let k(d) be the first derivative of d**4/32 - 3*d**3/8 + 3*d**2/2 - 2*d - 238. Factor k(v).
(v - 4)**2*(v - 1)/8
Let z(f) be the first derivative of 3*f**4/20 + f**3/5 - 27*f**2/10 - 27*f/5 - 37. Determine v so that z(v) = 0.
-3, -1, 3
Let w(u) be the first derivative of 3*u**5/20 - u**4/2 - 5*u**3/2 + 9*u**2 + 16*u - 3. Let l(d) be the first derivative of w(d). Suppose l(i) = 0. Calculate i.
-2, 1, 3
Let m(p) = p**3 - 5*p**2 + 4*p. Let u be m(4). Suppose -15*v = 10*v - 20*v. Factor u + v*s - 3/5*s**2 + 3/5*s**4 + 0*s**3.
3*s**2*(s - 1)*(s + 1)/5
Let d(r) be the first derivative of -r**5/70 + r**4/21 + 4*r**3/21 - 8*r**2/7 - 10*r - 29. Let g(o) be the first derivative of d(o). Factor g(c).
-2*(c - 2)**2*(c + 2)/7
Let a(q) = q**4 + q**3 - q**2. Let y(n) = -8*n**4 - 151*n**3 + 100*n**2 + 106*n**3 + 3*n**4 + 40 - 100*n. Let r(u) = 10*a(u) + y(u). What is l in r(l) = 0?
1, 2
Let t(s) be the third derivative of -s**7/350 + 2*s**6/25 - 23*s**5/25 + 28*s**4/5 - 96*s**3/5 + 33*s**2 - 1. Determine f, given that t(f) = 0.
2, 4, 6
Let z(d) = -6*d**5 - d**4 + 5*d**2 + 5. Let t(y) = 7*y**5 + y**4 - 6*y**2 - 6. Suppose 2*n + n - 10 = -c, -15 = -3*n. Let b(l) = c*t(l) - 6*z(l). Factor b(k).
k**4*(k + 1)
Let f(k) be the third derivative of k**7/1050 - k**6/75 - k**5/10 - 4*k**4/15 - 29*k**3/6 + 42*k**2. Let l(p) be the first derivative of f(p). Factor l(b).
4*(b - 8)*(b + 1)**2/5
Let x(r) be the first derivative of r**8/112 + 4*r**7/105 + r**6/20 - r**4/24 - 23*r**2/2 + 9. Let m(w) be the second derivative of x(w). Factor m(c).
c*(c + 1)**3*(3*c - 1)
Let o(d) be the second derivative of 1/6*d**6 + 1/2*d**5 + 0*d**3 - 9*d + 5/12*d**4 + 0*d**2 + 0. Determine l so that o(l) = 0.
-1, 0
Let w(g) = -g**2 - g - 1. Let l = 11 - 6. Let b(n) = 6*n + 10*n**2 - 4*n + n**4 + 4*n**3 + 6*n + l. Let m(k) = b(k) + 4*w(k). Factor m(f).
(f + 1)**4
Let y(v) be the third derivative of v**9/45360 - v**8/10080 - 3*v**4/8 + 6*v**2. Let a(r) be the second derivative of y(r). Let a(o) = 0. Calculate o.
0, 2
Suppose 0 - 6/5*w**4 - 296/5*w + 304/5*w**2 + 214/5*w**3 = 0. Calculate w.
-2, 0, 2/3, 37
Determine f, given that 0 + 2/3*f**2 + 10/3*f**3 - 2/3*f**4 - 10/3*f = 0.
-1, 0, 1, 5
Let u be (-32)/(-12) - ((-10)/(-6) - 1). Let t be (u - -1)/(-3) + (-6)/(-2). Factor 1/2*w**t - w + 1/2.
(w - 1)**2/2
Let k = -5473/4 - -5527/4. Factor -3/8*a**3 + k - 18*a + 39/8*a**2.
-3*(a - 6)**2*(a - 1)/8
Factor 3/2*f**2 + 5/4*f + 1/4*f**3 + 0.
f*(f + 1)*(f + 5)/4
Let m(y) be the first derivative of -7/10*y**5 + y - 2 - 2*y**2 + 2*y**4 - y**3. Let g(x) be the first derivative of m(x). Let g(q) = 0. Calculate q.
-2/7, 1
Let m(d) be the second derivative of -1/40*d**6 + 1/2*d**3 + 1/8*d**4 + 0 - 3*d - 1/20*d**5 - 3*d**2. Let v(c) be the first derivative of m(c). Factor v(a).
-3*(a - 1)*(a + 1)**2
Let m = 21/22 - 9/44. Suppose -m - 1/2*t + 1/4*t**2 = 0. Calculate t.
-1, 3
Let s(h) be the third derivative of 6*h**2 + 1/1155*h**7 + 0 + 1/66*h**5 + 0*h**3 + 0*h + 1/165*h**6 + 1/66*h**4. Factor s(o).
2*o*(o + 1)**2*(o + 2)/11
Let r(d) be the third derivative of -d**10/8400 - 11*d**9/40320 - d**8/6720 + 7*d**5/30 - 9*d**2. Let h(t) be the third derivative of r(t). Factor h(y).
-3*y**2*(3*y + 2)*(4*y + 1)/2
Let k(z) be the first derivative of 0*z**2 + 1/24*z**6 - 11/3*z**3 - 3/4*z**4 + 6 - 13/40*z**5 + 0*z. Let i(p) be the third derivative of k(p). Factor i(l).
3*(l - 3)*(5*l + 2)
Determine o so that -354*o**5 + 702*o**5 - 6*o**3 - 6*o**4 - 350*o**5 - 2*o**2 = 0.
-1, 0
What is d in -88/9*d**2 - 32/9 + 136/9*d + 14/9*d**3 = 0?
2/7, 2, 4
Let v(i) be the first derivative of 0*i + 2/39*i**3 + 2 - 1/39*i**6 + 3/26*i**4 - 2/13*i**2 - 2/65*i**5. Suppose v(b) = 0. Calculate b.
-2, -1, 0, 1
Let i(b) be the first derivative of b**4/4 + b**3 - 2*b**2 - 12*b + 1. Let i(t) = 0. Calculate t.
-3, -2, 2
Let i(r) = -r**2 - 6*r + 12. Let n be i(-6). Factor 25 - 4*h - 17 + 4*h**3 - n*h**2 - h**4 + 5*h**4.
4*(h - 1)**2*(h + 1)*(h + 2)
Let p = -40 - -42. Let w be (0 - (4 + -4))/p. Let 0*g - 3/4*g**5 + 3/4*g**2 + 9/4*g**4 + w - 9/4*g**3 = 0. Calculate g.
0, 1
Factor 5572 - 2*y**3 - 348*y**2 + 10092*y + 8*y**3 - 103128 - 2*y**3.
4*(y - 29)**3
Let s(x) be the first derivative of 72/5*x**5 - 15 - 3*x**4 - 9/2*x**6 - 22*x**3 + 39/2*x**2 - 6*x. Let s(v) = 0. Calculate v.
-1, 1/3, 1, 2
Let n(t) be the third derivative of -t**7/12600 + t**6/600 + 5*t**4/8 + 21*t**2. Let z(v) be the second derivative of n(v). Factor z(d).
-d*(d - 6)/5
Let v(t) = 3*t + 15. Let j be v(-4). Factor 9*w**2 - w + 14 - j*w**2 - 4*w**2 - 15*w.
2*(w - 7)*(w - 1)
Let x = -1 + 6. Solve -63*i**x + 60*i**5 + 8*i**3 + 12*i**3 - 8*i**3 = 0.
-2, 0, 2
Let g(i) be the second derivative of -i**4/12 - i**3/6 + i**2/2 - 5*i. Let w(n) = -8*n - 4. Let v(m) = -4*g(m) + w(m). Suppose v(c) = 0. Calculate c.
-1, 2
Let u(f) be the second derivative of f**7/420 + f**6/60 + f**5/30 - 2*f**2 - 5*f. Let i(s) be the first derivative of u(s). Factor i(l).
l**2*(l + 2)**2/2
Suppose 0 = -7*q + 12*q + 420. Let g be ((-413)/q + -5)*(1 - 3). Solve 1/3*s**2 - 1/6*s + g*s**3 - 1/3 = 0 for s.
-2, -1, 1
Let z(c) be the second derivative of 4*c**5/15 - c**4/3 - 32*c**3/9 + 8*c**2 - c - 151. Factor z(k).
4*(k - 2)*(k + 2)*(4*k - 3)/3
Let k(u) be the first derivative of -u**8/7560 + u**6/1620 + 4*u**3/3 - 10. Let s(c) be the third derivative of k(c). Solve s(d) = 0 for d.
-1, 0, 1
Let d(t) be the third derivative of t**6/30 + t**5/40 + t**3 + t**2. Let y(b) be the first derivative of d(b). Factor y(o).
3*o*(4*o + 1)
Let h(a) be the second derivative of -a**7/84 + a**6/60 + a**5/8 - 5*a**4/24 - a**3/3 + a**2 - 2*a + 10. Find z such that h(z) = 0.
-2, -1, 1, 2
Suppose 6*w + 3 = 15. Suppose 8 = -0*u + w*u. Suppose c**2 - 2 - 2 + c**2 + 3*c**2 - c**u = 0. Calculate c.
-2, -1, 1, 2
Let w = 25 + -21. Suppose -w*c = 5*n - 16, 2*n - c - 11 = 2*c. Suppose -4*m**2 + 7*m**2 - 4*m**3 + n*m - 4 + m**4 + 0 = 0. Calculate m.
-1, 1, 2
Let y be 0*((-156)/24 - -6). Let v(f) be the second derivative of y*f**3 - 12*f + 1/180*f**6 - 1/72*f**4 + 0*f**2 + 0 + 0*f**5. Find t, given that v(t) = 0.
-1, 0, 1
Factor 15*r + 24*r**3 - 4*r**4 - 29 + 49 - 5*r**4 + 61*r + 89*r**2.
-(r - 5)*(r + 1)*(3*r + 2)**2
Suppose -2*a - 9 = 15. Let t be 27 + 5/(20/a). Factor t*r**4 + r**2 + 2*r**3 - 15*r**4 - 8*r**4.
r**2*(r + 1)**2
Let s(j) be the first derivative of 0*j - 2/9*j**3 - 1/3*j**2 - 2. Factor s(l).
-2*l*(l + 1)/3
Let q(y) be the first derivative of 5*y**4/4 + 70*y**3/3 + 285*y**2/2 + 360*y + 46. Factor q(w).
5*(w + 3)**2*(w + 8)
Let m be 138/46*(-2)/(-2). Suppose -10/7*q - 162/7*q**5 + 4/7 + 108/7*q**m - 48/7*q**2 + 108/7*q**4 = 0. What is q?
-2/3, -1/3, 1/3, 1
Let a(n) = -n**2 + 6*n + 29. Let c be a(-3). Let 1/7*f**c + 0*f - 4/7 = 0. Calculate f.
-2, 2
Let c = 110105/3 - 36701. Factor -2/3*i**2 + 1/3*i**5 + 0 + 0*i**3 + c*i**4 - 1/3*i.
i*(i - 1)*(i + 1)**3/3
Let z(r) be the second derivative of -1/30*r**5 - 38*r + 1/9*r**3 + 0 + 0*r**2 - 1/18*r**4 + 1/45*r**6. Determine g so that z(g) = 0.
-1, 0, 1
Factor 52/17*z**2 + 48/17 - 2/17*z**3 - 98/17*z.
-2*(z - 24)*(z - 1)**2/17
Let v = -77839/4 + 19460. Factor v*z**5 + 0*z**4 + 0*z**2 - z**3 + 0*z + 0.
z**3*(z - 2)*(z + 2)/4
Let s(i) = -3*i**4 - 2*i**3 - i**2 - 2*i. Let t(b) = 10*b**4 + 6*b**3 + 4*b**2 + 8*b. Let n(d) = 7*s(d) + 2*t(d). Factor n(a).
-a*(a - 1)*(a + 1)*(a + 2)
Factor 1/2*y**3 - 3/2*y**4 + 3/2*y**2 + 1/2*y**5 - y + 0.
y*(y - 2)*(y 