 14*p**2 - 24*p + 8. Let w(d) = -q(d) - 4*u(d). Factor w(o).
-2*(3*o - 2)**2
Solve -4*p**4 - p**3 + p**5 - 589*p**2 + 44*p**4 + 549*p**2 = 0.
-40, -1, 0, 1
Suppose 2*g**2 - 37*g**3 + 5 - 5 + 38*g**3 - g**4 = 0. What is g?
-1, 0, 2
Let a(t) be the third derivative of 1/5*t**5 + 8*t**2 - 1/30*t**6 + 0 + 2/3*t**3 - 1/2*t**4 + 0*t. Factor a(k).
-4*(k - 1)**3
Let o = -2998/77 - -444/11. Determine u, given that 4/7*u + 0 + 2/7*u**4 - o*u**2 - 2/7*u**5 + 6/7*u**3 = 0.
-2, 0, 1
Suppose 46/19*h + 12/19 - 36/19*h**2 = 0. Calculate h.
-2/9, 3/2
Let c(i) = 5*i - 5. Let h(y) = y**2 - 1. Let p(x) = c(x) - h(x). Determine o so that p(o) = 0.
1, 4
Suppose -9 = -g + 3*r, r = -2*g - 1 - 2. Suppose 8*y - 4*y = g. Factor d**3 + y*d**3 + 6*d**4 + 2*d**3 - 3*d**4.
3*d**3*(d + 1)
Let d = -26 + 30. Factor -j**2 - 11*j**4 - 7*j**5 - 10*j**4 + 2*j**d - 15*j**3 + 0*j**4 + 2*j.
-j*(j + 1)**3*(7*j - 2)
Let p(w) = -w**2 + 14*w + 13. Let a(l) = 71*l + 64 + 3*l**2 - 2*l**2 - 5*l**2. Let m(n) = -2*a(n) + 11*p(n). Determine z, given that m(z) = 0.
-1, 5
Let i = 112 + -108. Let x be (i/(-2))/(-12)*(1 + 3). Factor 0*p - 2/3 + x*p**2.
2*(p - 1)*(p + 1)/3
Let u(x) be the second derivative of x**6/12 + 7*x**5/8 + 25*x**4/24 - 35*x**3/12 - 15*x**2/2 - 4*x + 31. Let u(c) = 0. Calculate c.
-6, -1, 1
Let i(g) be the first derivative of g**4/20 + g**3/15 - g**2/2 + 3*g/5 - 65. Factor i(y).
(y - 1)**2*(y + 3)/5
Suppose 0 = -23*v - 43*v. What is h in 2/11*h**2 + v*h + 2/11*h**4 - 4/11*h**3 + 0 = 0?
0, 1
Factor 32/11*d - 160/11 + 2/11*d**2.
2*(d - 4)*(d + 20)/11
Let i = 26595 + -26593. What is s in 1/7*s + 1/7*s**i - 1/7*s**4 - 1/7*s**3 + 0 = 0?
-1, 0, 1
Suppose 57*v - 1298 = -1127. Factor 3*w - v - 3/4*w**2.
-3*(w - 2)**2/4
Let r(o) be the second derivative of -115/14*o**4 - 1/7*o**2 + 16*o + 0 - 1536/49*o**7 - 320/7*o**6 - 188/7*o**5 - 10/7*o**3. Factor r(m).
-2*(3*m + 1)**2*(8*m + 1)**3/7
Factor 32/3*l - 2/3*l**2 + 34/3.
-2*(l - 17)*(l + 1)/3
Let q(d) be the third derivative of 14*d**2 + 0 + 1/24*d**5 + 1/4*d**3 + 7/48*d**4 + 1/240*d**6 + 0*d. Factor q(f).
(f + 1)**2*(f + 3)/2
Factor -15*a - 378/5 - 3/5*a**2.
-3*(a + 7)*(a + 18)/5
Determine k so that 4 + 0*k**2 - 3*k + 1/4*k**3 = 0.
-4, 2
Let m(w) be the second derivative of -w**7/21 - w**6/5 + 4*w**5/5 + 2*w**4 - 16*w**3/3 + 12*w - 8. Determine x, given that m(x) = 0.
-4, -2, 0, 1, 2
Solve -4/5*w**4 + 1008/5*w + 72/5*w**3 - 784/5 - 436/5*w**2 = 0.
2, 7
Factor 6*s + 2/7*s**2 - 90/7 - 2/7*s**3.
-2*(s - 3)**2*(s + 5)/7
Let f(l) = -5*l**4 + 39*l**3 - 61*l**2 + 41*l - 10. Let b(r) = -4*r**4 + 39*r**3 - 62*r**2 + 43*r - 11. Let v(u) = 4*b(u) - 5*f(u). Factor v(i).
3*(i - 2)*(i - 1)**2*(3*i - 1)
Let b(c) be the second derivative of 1/60*c**6 - 1/168*c**7 + 13*c + 1/24*c**3 + 0*c**5 + 0 + 0*c**2 - 1/24*c**4. Suppose b(i) = 0. What is i?
-1, 0, 1
Let y be (-30)/12*8/10 - -6. Suppose 2063*j**2 - 2063*j**2 - 2*j**y + j**5 = 0. What is j?
0, 2
Let n(u) be the second derivative of u**6/120 - u**5/100 - u**4/60 - 19*u**2/2 - u. Let y(a) be the first derivative of n(a). Solve y(r) = 0.
-2/5, 0, 1
Let o(d) = -d**2 + 11*d - 6. Let v be o(10). Solve -2*a**4 - a**v - a - 5*a + 9*a**3 + 3*a**2 - 3*a**5 = 0.
-2, -1, 0, 1
Let q(d) be the first derivative of 8*d**2 - 3 - 32*d - 2/3*d**3. Factor q(j).
-2*(j - 4)**2
Let u(n) be the second derivative of -5*n**7/42 - 17*n**6/2 + 105*n**5/4 - 265*n**4/12 - 8*n - 47. Factor u(f).
-5*f**2*(f - 1)**2*(f + 53)
Let h(t) be the first derivative of 0*t**6 + 5 + 0*t**4 + 1/10*t**5 - 1/21*t**7 + t + 0*t**2 + 0*t**3. Let k(s) be the first derivative of h(s). Solve k(d) = 0.
-1, 0, 1
Factor 12*g**4 + 5*g**5 + 0*g**4 - 12*g**2 - 2*g**5 + 16*g - 20*g**3 + g**5.
4*g*(g - 1)**2*(g + 1)*(g + 4)
Suppose 132 = 67*x - 136. Determine z, given that -1/2 + 0*z - 1/2*z**x + z**2 + 0*z**3 = 0.
-1, 1
Let q(t) = -2*t + 2. Let l be q(5). Let r = l + 10. Solve -2*s**2 + 2*s**2 + 2*s**2 + 4*s**3 - 2 - r*s - 2*s**3 = 0 for s.
-1, 1
Factor 6250 + 2/5*j**2 - 100*j.
2*(j - 125)**2/5
Let d(o) be the second derivative of 0*o**2 - 1/10*o**5 + 1/21*o**7 + 1/6*o**4 + 0*o**3 - 17*o - 1/15*o**6 + 0. Factor d(m).
2*m**2*(m - 1)**2*(m + 1)
Let x(q) = 10*q**3 - 10*q**2 - 5*q + 5. Let i(y) = y**2 - 1 + y**3 + y - 5*y**3 + 3*y**3. Let u(n) = -5*i(n) - x(n). What is d in u(d) = 0?
0, 1
Let p(c) = -c**2 + c + 2. Let y be p(2). Suppose 0 = -v - y*v. Factor v*q**2 + 0*q - 7*q + 3 + q + 3*q**2.
3*(q - 1)**2
Let g be ((-9)/60)/(285/(-152)). Let z(v) be the first derivative of -g*v**5 + 0*v**2 + 0*v**4 - 5 + 2/15*v**3 + 0*v. Determine h so that z(h) = 0.
-1, 0, 1
Let b(y) be the second derivative of -y**5/40 + 11*y**4/12 - 98*y. Find x such that b(x) = 0.
0, 22
Let t(d) be the third derivative of -d**5/210 - 11*d**4/42 - 121*d**3/21 - 80*d**2. Solve t(a) = 0.
-11
Let b(f) be the first derivative of f**6/2 + 27*f**5/5 - 63*f**4/4 + 11*f**3 - 140. Let b(d) = 0. What is d?
-11, 0, 1
Let c(t) = -15*t**3 - 11*t**2 + 9*t + 19. Let a(g) = 2*g**3 + 2*g**2 + g - 1. Let r(n) = 14*a(n) + 2*c(n). Solve r(j) = 0 for j.
-2, -1, 6
Let u(r) = 5*r**4 + 2*r**3 + 9*r**2 - 8*r + 4. Let i(f) = 9*f**4 + 4*f**3 + 17*f**2 - 16*f + 8. Let s(j) = -6*i(j) + 11*u(j). Factor s(c).
(c - 2)*(c - 1)**2*(c + 2)
What is b in 1/3*b**2 + 0 + 7/3*b = 0?
-7, 0
Factor -50*c**2 + 35*c**3 - 25*c**3 - 15*c**3 + 120*c.
-5*c*(c - 2)*(c + 12)
Let i(d) be the third derivative of -d**5/150 + 29*d**4/10 - 2523*d**3/5 + 9*d**2 - 4. Let i(m) = 0. What is m?
87
Suppose 0 = -5*k + 3*x + 99 - 28, 0 = -5*k - 3*x + 59. Solve 23 - 51*f + k + 4*f**2 + 75*f = 0.
-3
Solve -1/6*g**3 + 1/6*g**4 + 2/3*g - g**2 + 4/3 = 0 for g.
-2, -1, 2
Let t(m) be the first derivative of -3*m**4/16 - m**3 - 190. Solve t(f) = 0.
-4, 0
Let p(f) be the second derivative of -2*f**4 + 3/10*f**6 + 23*f + 0 + 0*f**3 + 0*f**2 - 1/14*f**7 + 9/10*f**5. Determine q, given that p(q) = 0.
-2, 0, 1, 4
Let o(n) be the third derivative of -n**6/180 + 17*n**5/90 - 7*n**4/4 - 9*n**3 + 125*n**2. What is h in o(h) = 0?
-1, 9
Let r be (-19532)/6846 + 5 - -5. Let t = -2/489 + r. Find d, given that -20/7*d - t - 2/7*d**2 = 0.
-5
What is f in 0 + 4/7*f**4 - 4/7*f**2 - 104/7*f + 104/7*f**3 = 0?
-26, -1, 0, 1
Let v(z) be the second derivative of -2*z - 1/120*z**6 - 2/3*z**3 - 1/2*z**4 + 0*z**2 + 0 + 1/10*z**5. Let l(f) be the second derivative of v(f). Factor l(j).
-3*(j - 2)**2
Suppose -5*q - 16 = -y, -4*y + 2 + 2 = -5*q. Let m be (q/(-12)*0)/1. Factor 0*r**2 + 0 + 5/2*r**4 + m*r - r**3 - 3/2*r**5.
-r**3*(r - 1)*(3*r - 2)/2
Let n(i) = -2*i**2 + 27*i - 17. Let v be n(12). Factor 2*h - v*h**2 - 23*h**2 + 0*h + 27*h**2.
-h*(15*h - 2)
Let p(n) be the first derivative of -1/6*n**6 + 15 - 4/3*n**3 + 0*n + n**4 + 0*n**2 + 1/5*n**5. Determine m so that p(m) = 0.
-2, 0, 1, 2
Let x be (-3 + -1)*9/4. Let s be (3/x)/(5/(-45)). Let -16*d**2 - 21*d + 62*d**s - 2*d**3 + 5*d = 0. Calculate d.
-2/5, 0, 2/3
Let q(g) = -4*g**4 - 21*g**3 - 45*g**2 - 26*g - 3. Let k(v) = -v**3 - v**2 - 2*v + 1. Let f(c) = 3*k(c) + q(c). Suppose f(b) = 0. Calculate b.
-2, 0
Suppose j - 234 = p - 6*p, 0 = -5*p - 3*j + 232. Factor -20 - p*h**2 - 52*h**2 + 104*h**2 - 15*h.
5*(h - 4)*(h + 1)
Let y(v) = 2*v + 11. Let o be y(8). Determine h so that -19*h**2 - 5*h - h + o*h**3 + 2*h**2 - 4*h**2 = 0.
-2/9, 0, 1
Let a(j) be the third derivative of -j**5/105 - 5*j**4/42 + 4*j**3/7 + 25*j**2. Let a(g) = 0. What is g?
-6, 1
Factor 65*a**3 + 15*a**4 + 72*a + 16*a**4 - 36*a**4 - 180*a**2 + 88*a - 5*a**3.
-5*a*(a - 8)*(a - 2)**2
Factor -76/17*s**3 + 800/17 + 1520/17*s + 642/17*s**2 + 2/17*s**4.
2*(s - 20)**2*(s + 1)**2/17
Factor 0*y**3 + 0*y + 0*y**2 + 2/15*y**5 + 0*y**4 + 0.
2*y**5/15
Let g(u) be the third derivative of 0*u + 0 - 1/270*u**6 + 0*u**5 + 0*u**4 + 1/1512*u**8 + 31*u**2 + 0*u**3 + 1/945*u**7. Determine k, given that g(k) = 0.
-2, 0, 1
Factor 787 + 240*b + 0*b**3 - 57*b**2 - 487 + 3*b**3.
3*(b - 10)**2*(b + 1)
Let v(w) be the third derivative of 5/12*w**4 + 0*w + 0 - 5/6*w**3 - 4*w**2 + 1/4*w**5. Factor v(a).
5*(a + 1)*(3*a - 1)
Let p be 16 + -22 - 170/(-28). Let o(d) be the second derivative of 23/30*d**5 - 2*d + p*d**7 + 0 + 1/18*d**3 + 2/3*d**4 + 17/45*d**6 - 1/3*d**2. Factor o(c).
(c + 1)**4*(9*c - 2)/3
Let s(y) be the second derivative of -y**6/30 - y**5/10 + y**4/3 + 4*y**3/3 + 2*y - 147. Determ