*2 + 0 - 3/160*i**5 - 13/64*i**4. Find q such that y(q) = 0.
-5, 2/3
Suppose 4 + 14 = 9*p. Let x(s) be the second derivative of 1/36*s**4 + 0 + s + 0*s**p + 1/18*s**3. Suppose x(t) = 0. Calculate t.
-1, 0
Find w, given that 0*w + 0 - 52/5*w**2 + 2/5*w**3 = 0.
0, 26
Let z(o) be the second derivative of o**7/2730 + o**6/780 + o**5/780 + 7*o**3/6 + 14*o. Let k(i) be the second derivative of z(i). Factor k(b).
2*b*(b + 1)*(2*b + 1)/13
Let g = -2550/217 - -382/31. Factor 6/7*a + g*a**2 + 2/7.
2*(a + 1)*(2*a + 1)/7
Let s = 76466314201/2717 - 28143656. Let z = s - 1/209. Find p such that 0*p - z*p**3 - 2/13*p**4 + 0 - 2/13*p**2 = 0.
-1, 0
Let t(q) be the first derivative of 14*q**5/25 + 23*q**4/10 - 2*q**3/15 - 23*q**2/5 - 12*q/5 + 130. Suppose t(f) = 0. Calculate f.
-3, -1, -2/7, 1
Let o(a) = 5*a**5 - 20*a**4 + 30*a**3 - 5*a**2 - 5*a. Let d(n) = -2*n**2 + 2*n**3 + 3*n**2 + 0*n**3 - n - n**3. Let l(g) = -5*d(g) + o(g). Factor l(y).
5*y**2*(y - 2)*(y - 1)**2
Let 198/7*g**2 + 0 + 102/7*g**3 - 198/7*g**4 - 6*g**5 - 60/7*g = 0. What is g?
-5, -1, 0, 2/7, 1
Let c be (30/35)/(-3) - (-18)/14. Let k(y) be the first derivative of -c + 1/3*y**2 - 4/9*y - 2/27*y**3. Factor k(p).
-2*(p - 2)*(p - 1)/9
Let b(n) = 12*n**2 + 6*n + 5. Let v be b(-3). Factor -8*x**2 + 95*x - 4*x**4 + 12*x**3 - v*x.
-4*x**2*(x - 2)*(x - 1)
Let q be 721/(-105) - (-28)/4. Find h, given that 4/15*h - q - 2/15*h**2 = 0.
1
Let u = 5590 - 27946/5. Solve -8/5 + u*q + 4/5*q**2 = 0.
-2, 1
Let g = -9 + 11. Let p(q) = 1 + 2*q**g + 1 - 2 - 2*q. Let h(n) = n - 1. Let s(w) = -6*h(w) + p(w). Factor s(b).
2*(b - 3)*(b - 1)
Suppose 10*k - 6*k = j + 7, -k - 17 = -4*j. Let w(h) be the third derivative of -1/20*h**5 + 0 - 1/4*h**k - 5/32*h**4 + 0*h - 1/160*h**6 - 2*h**2. Factor w(s).
-3*(s + 1)**2*(s + 2)/4
Let m = -19 + 27. Find t, given that 6*t**3 - 20*t + 12*t**2 + m - 3*t**3 - 4*t**4 + t**3 = 0.
-2, 1
Suppose 2*w - 3*l = 38, 6*l - 24 = 10*l. Factor 0 + w*j + 5/2*j**2.
5*j*(j + 4)/2
Let y(d) be the first derivative of -d**4/22 + d**2/11 - 71. Factor y(b).
-2*b*(b - 1)*(b + 1)/11
Let g(f) be the first derivative of 49*f**6/18 + 224*f**5/15 + 263*f**4/12 + 100*f**3/9 + 2*f**2 + 147. Determine k so that g(k) = 0.
-3, -1, -2/7, 0
Let r(c) = 3*c**2 - 5*c - 68. Let b be r(-4). Find m such that 0 - 8/13*m**2 - 10/13*m**4 + 24/13*m**3 + b*m = 0.
0, 2/5, 2
Suppose -13 = -5*w + 2. Suppose -3*s = 0, 0 = b - 5*b + 4*s + 16. Find o such that 4*o**b - w*o**2 - o - o + o = 0.
-1/2, 0, 1
Let z = 25 - 31. Let p be z/(-5)*(-50)/(-30). Factor -53 + 10*w**p - 4*w + 53 + 2*w**4 - 8*w**3.
2*w*(w - 2)*(w - 1)**2
Factor 23*o**2 - 23*o**2 - 14*o**2 - 108*o + 32.
-2*(o + 8)*(7*o - 2)
Factor -748*w**3 + 4*w - 2*w**2 + 24*w + 40 - 14*w**2 + 744*w**3.
-4*(w - 2)*(w + 1)*(w + 5)
Let f(c) be the first derivative of -c**5/35 + 3*c**4/28 - c**3/21 - 3*c**2/14 + 2*c/7 - 876. Factor f(i).
-(i - 2)*(i - 1)**2*(i + 1)/7
Let n(x) = -12*x**5 + 12*x**4 + 43*x**3 - 12*x**2 - 31*x. Let k(v) = 4*v**5 - 4*v**4 - 14*v**3 + 4*v**2 + 10*v. Let r(h) = 7*k(h) + 2*n(h). Factor r(m).
4*m*(m - 2)*(m - 1)*(m + 1)**2
Suppose 220*v**2 + 1861*v**3 - 928*v**3 + 5*v**5 - 105*v**4 - 1053*v**3 = 0. Calculate v.
-2, 0, 1, 22
Let w(y) be the third derivative of -1/15*y**5 + 26*y**2 - 1/9*y**4 - 1/90*y**6 + 0*y + 0 + 0*y**3. Solve w(l) = 0.
-2, -1, 0
Let m(c) = -c**4 - c**3 - c**2 + 2*c + 1. Let k(v) = -5*v**4 - 50*v**3 + 431*v**2 + 1070*v + 6. Let q(w) = k(w) - 6*m(w). Factor q(f).
f*(f - 23)**2*(f + 2)
Let k be ((-2)/(-2))/(15/30). Determine a, given that -7*a**2 - 12*a + 3*a**2 + 10*a**3 + k*a**3 + 4 + 0*a**2 = 0.
-1, 1/3, 1
Let m(y) be the second derivative of y**4/32 - 247*y**3/8 + 183027*y**2/16 + 587*y. Let m(z) = 0. Calculate z.
247
Factor 44/5*g - 726/5 - 2/15*g**2.
-2*(g - 33)**2/15
Suppose 72/7 + 2/7*r**3 + 96/7*r + 26/7*r**2 = 0. Calculate r.
-6, -1
Let t(l) be the first derivative of -4/3*l**2 + 1/9*l**3 + 7/3*l - 33. Factor t(i).
(i - 7)*(i - 1)/3
Factor 4/9*m**2 - 136/9*m - 32.
4*(m - 36)*(m + 2)/9
Let r(l) be the third derivative of l**8/1344 + l**7/168 + l**6/72 + 3*l**4/4 + l**2. Let u(h) be the second derivative of r(h). Factor u(y).
5*y*(y + 1)*(y + 2)
Let j(l) = -8*l**2 - 568*l - 594. Let s(y) = 3*y**2 + 189*y + 198. Let t(r) = 6*j(r) + 17*s(r). Find u, given that t(u) = 0.
-1, 66
Let t = -12027 - -84193/7. Factor 0*c**2 + t*c**5 - 4/7*c**4 + 0*c + 0*c**3 + 0.
4*c**4*(c - 1)/7
Factor 178*a**2 - 36*a + 0 - 215*a**3 - 25/2*a**4.
-a*(a + 18)*(5*a - 2)**2/2
Let v(f) = -f**3 + 3*f**2 + 2*f - 4. Let w be v(3). Let s = 135/544 - -1/544. Factor 0*y - s + 1/4*y**w.
(y - 1)*(y + 1)/4
Let k(s) be the third derivative of 35*s**2 - 1/240*s**5 - 1/12*s**3 + 0 + 0*s + 1/32*s**4. Solve k(w) = 0.
1, 2
Let h(l) be the first derivative of l**5/180 - l**4/12 - 7*l**2/2 + 39. Let m(i) be the second derivative of h(i). Solve m(w) = 0 for w.
0, 6
Find z, given that 12/5*z**2 - 42/5 + 1/5*z**3 - 31/5*z = 0.
-14, -1, 3
Let p(w) be the first derivative of -5*w**3/6 - 15*w**2 - 90*w + 77. Suppose p(g) = 0. Calculate g.
-6
Let k(c) be the third derivative of -c**7/210 + c**6/75 + 19*c**5/300 + c**4/20 + c**2 - 4*c. Determine m so that k(m) = 0.
-1, -2/5, 0, 3
Let m(l) = 9*l**2 - 2*l**2 - 2*l + 2 - 8*l**2. Let q be m(0). Solve -2*k**4 - q*k**5 + 0*k**5 + k**5 - 2*k**5 = 0 for k.
-2/3, 0
Let m(t) be the second derivative of 1/6*t**3 + t**2 + 0 - 12*t - 1/12*t**4. Factor m(v).
-(v - 2)*(v + 1)
Let s = 399 + -395. Suppose 1/2*h**s + 0*h + 1/2 + 0*h**3 - h**2 = 0. Calculate h.
-1, 1
Suppose 4*y - o + 5*o - 1076 = 0, -y = -4*o - 284. Factor -4*v + y - 264 + v**2 + v**2 - 6*v**2.
-4*(v - 1)*(v + 2)
Let l(d) be the second derivative of -d**6/70 + 3*d**5/70 + 3*d**4/28 - 2*d**3/7 - 6*d**2/7 - 3*d - 5. Determine u so that l(u) = 0.
-1, 2
Solve 0 + m**3 + 2/3*m**2 + 1/3*m**4 + 0*m = 0 for m.
-2, -1, 0
Let v(h) be the second derivative of -h**7/126 - 8*h**6/45 - 91*h**5/60 - 58*h**4/9 - 134*h**3/9 - 56*h**2/3 + 502*h. What is z in v(z) = 0?
-7, -4, -2, -1
Let w(s) be the first derivative of 4*s**3/3 - 16*s**2 + 68. Factor w(k).
4*k*(k - 8)
Factor 24*g**4 + 22*g**4 - 50*g - 71*g**4 - 60*g**2 + 20*g**4 - 15 - 30*g**3.
-5*(g + 1)**3*(g + 3)
Let s(g) be the third derivative of g**5/60 - g**4/24 - g**2. Let c(j) = -5*j**2 + 7*j - 2. Let k(t) = c(t) + 6*s(t). Let k(a) = 0. What is a?
-2, 1
Let t(k) = 25*k**4 + 73*k**3 + 90*k**2 + 47*k + 12. Let u(a) = -12*a**4 - 36*a**3 - 45*a**2 - 24*a - 6. Let j(w) = 3*t(w) + 7*u(w). Solve j(s) = 0 for s.
-1, -2/3
Suppose 0*f - 3*f - 3 = 0, -5*f - 4 = r. Suppose -5 = -2*p - r. Determine w so that 0 + 0*w + 0*w**p + 2/3*w**3 = 0.
0
Suppose 3*r + 8 = 2*h + 2, -2*r - 4 = -3*h. Determine f, given that f + 4*f**2 + h*f**2 - 2*f = 0.
0, 1/4
Let w = -11 - -12. Let p be w/(4*4/48). Factor -4*k**p + 21*k**2 - 21*k**2 + 4*k.
-4*k*(k - 1)*(k + 1)
Factor -6*z**3 - 2 + 7 + 3*z**2 + 15*z + 5 - 4.
-3*(z - 2)*(z + 1)*(2*z + 1)
Let r(y) be the third derivative of y**7/350 + 7*y**6/200 + 3*y**5/25 - y**4/10 - 8*y**3/5 - 38*y**2. Determine g so that r(g) = 0.
-4, -2, 1
Let j be 6/((-36)/6) - -1. Factor -2/9*y**5 + 2/3*y**3 - 4/9*y**4 + j - 8/9*y + 8/9*y**2.
-2*y*(y - 1)**2*(y + 2)**2/9
Let t(k) be the second derivative of 0 - 14/15*k**6 - 2/3*k**4 + 14/5*k**5 + 7*k - 10*k**3 + 18*k**2 + 2/21*k**7. Find p such that t(p) = 0.
-1, 1, 3
Let q = 47618 + -238087/5. Factor -6/5*p - q*p**2 - 3/5.
-3*(p + 1)**2/5
Factor 32/7 + 4*l - 4/7*l**2.
-4*(l - 8)*(l + 1)/7
Let m(k) be the second derivative of 29*k**6/75 + 6*k**5/5 + 2*k**4/15 + 88*k. Factor m(u).
2*u**2*(u + 2)*(29*u + 2)/5
Let v(c) be the second derivative of c**6/30 - 5*c**4/6 + 9*c**2/2 - 31*c + 1. Suppose v(g) = 0. Calculate g.
-3, -1, 1, 3
Let l(y) be the second derivative of -y**7/210 - 17*y**6/150 - 21*y**5/50 + y**4/15 + 28*y**3/15 + 44*y + 2. Suppose l(h) = 0. Calculate h.
-14, -2, 0, 1
Factor 36 - 256 - 69781*p + 5*p**2 + 69566*p.
5*(p - 44)*(p + 1)
Let z be (478/8)/(3*(-6)/72). Let c = z + 240. Determine g so that -1/2*g**2 - c + 3/2*g = 0.
1, 2
Let w be ((-5)/(-2))/((-400)/(-1440)). Let k(a) be the first derivative of -3/2*a**2 + w - 9/2*a - 1/6*a**3. Solve k(m) = 0.
-3
Let o(n) be the third derivative of -3*n**6/50 - 4*n**5/15 - 2*n**4/15 + 102*n**2. Solve o(t) = 0.
-2, -2/9, 0
Let j(m) be the first deriv