5*x**4 - 517*x**2 - 368*x**2 + k + 25*x**2 = 0.
-2/3, 2/5, 4
Let k = -3710 + 25978/7. Find q such that 18/7*q + 2/7*q**3 + 12/7*q**2 + k = 0.
-4, -1
Let g(o) be the first derivative of o**4/30 + 116*o**3/45 + 113*o**2/15 + 112*o/15 - 1425. Factor g(u).
2*(u + 1)**2*(u + 56)/15
Let i(a) be the second derivative of -a**6/6 - a**5/2 + 5*a**4/4 + 10*a**3/3 - 10*a**2 - 6*a - 96. Factor i(q).
-5*(q - 1)**2*(q + 2)**2
Let b be ((-54)/(-63))/(((-10)/28)/(120/(-72))). Let o(v) be the second derivative of -b*v - 1/10*v**5 + 0 + 3*v**2 + 1/6*v**4 + 5/3*v**3. Factor o(c).
-2*(c - 3)*(c + 1)**2
Let y(q) be the first derivative of -71 - 24*q - 3/8*q**4 + 15/2*q**2 + 7/2*q**3. Find s such that y(s) = 0.
-2, 1, 8
Let o = 2078689/7 + -296955. Determine x so that -5/7*x**3 + 4/7 + 1/7*x**4 + 1/7*x**5 - 5/7*x**2 + o*x = 0.
-2, -1, 1, 2
Suppose 4*b = 5*u - 24, -3*b - 20 + 17 = 0. Let t(a) be the second derivative of 0 + 5/18*a**3 - 2/3*a**2 - 1/36*a**u - 2*a. Determine l, given that t(l) = 0.
1, 4
Let c(u) be the third derivative of -1/20*u**4 + 0*u**7 + 0*u - 4/75*u**5 + 0 + 1/840*u**8 - 1/50*u**6 - 34*u**2 + 0*u**3. Let c(l) = 0. Calculate l.
-1, 0, 3
Let u(w) be the first derivative of 161 + 4/3*w**3 - 50*w**2 + 96*w. Factor u(i).
4*(i - 24)*(i - 1)
Let h(i) = -i**2 - 2*i. Let b(j) = j**2 + 14*j + 10. Let c be b(-13). Let f(g) = -5*g**2 + 4*g + 12. Let u(a) = c*h(a) + f(a). Factor u(r).
-2*(r - 6)*(r + 1)
Let a(k) = -25*k**2 - 48114*k - 96. Let i(u) = -10*u**2 - 19245*u - 40. Let l(b) = 5*a(b) - 12*i(b). Factor l(w).
-5*w*(w + 1926)
Let j(h) = -5391*h - 26953. Let a be j(-5). Suppose -15/2*w**3 + 13/2*w**4 + w**a + 0*w + 0 = 0. What is w?
0, 2/13, 1
Let -99/4 + 24*w + 3/4*w**2 = 0. Calculate w.
-33, 1
Suppose 0 = -3393*i + 3404*i. Let v(z) be the third derivative of -1/32*z**4 + 0*z + i*z**5 + 0*z**3 + 1/160*z**6 + 0 - 2*z**2. Let v(q) = 0. Calculate q.
-1, 0, 1
Let p = 6123 + -6107. Let n(i) be the first derivative of 8/3*i**3 - i**4 + p*i + 14*i**2 - 21. Solve n(l) = 0 for l.
-1, 4
Let v = 17/6025 - -11897/54225. Determine s so that v*s**2 + 0*s + 2/9*s**4 - 4/9*s**3 + 0 = 0.
0, 1
Let h be 700/24 - (327 + -300). Find y, given that -2*y + h - 1/6*y**2 = 0.
-13, 1
Let i(o) be the first derivative of o**4/26 - 794*o**3/39 + 1576*o**2/13 - 3144*o/13 + 4231. Determine v, given that i(v) = 0.
2, 393
Suppose -4*m = -4*s + 168, -5*s + 263 = 5*m + 33. Find g, given that 5*g**5 - s*g**4 - 4*g**2 - 10*g**5 + 7*g**5 - 8*g + 44*g**3 + 10*g**5 = 0.
-1/3, 0, 1, 2
Let p(g) be the third derivative of -g**7/2520 + g**6/135 - 7*g**5/360 - g**3/6 + 8*g**2 + 5*g. Let a(v) be the first derivative of p(v). Factor a(d).
-d*(d - 7)*(d - 1)/3
Let v(w) = 2*w - 3. Let p be v(4). Suppose p*b = 19*b - 70. Suppose -28*m**3 + m**2 - 27*m**3 - m**4 - b*m + 57*m**3 + 3*m = 0. What is m?
-1, 0, 1, 2
Let y be 1/1 + (-1 - -3). Let p = -1238024 - -2476063/2. Factor 3*h**2 + 3/2*h**y - 9 - p*h.
3*(h - 2)*(h + 1)*(h + 3)/2
Let g(h) = h**2. Let s be g(2). Suppose 7*l - 6 = s*l. Factor 3*r + 17*r**3 + 4*r**4 + 16*r**l - 556 + 556.
r*(r + 1)*(r + 3)*(4*r + 1)
Let w(m) = -13*m**4 + 27*m**3 + 47*m**2 - 81*m + 24. Let n(d) = 66*d**4 - 136*d**3 - 234*d**2 + 405*d - 123. Let f(g) = 2*n(g) + 11*w(g). What is y in f(y) = 0?
-2, 3/11, 1, 3
Let u(z) = -8*z**4 - 56*z**3 + 121*z**2 - 60*z. Let s(k) = 50*k**4 + 336*k**3 - 727*k**2 + 360*k. Let i(d) = -6*s(d) - 38*u(d). Factor i(o).
4*o*(o - 1)**2*(o + 30)
Solve -26/3*u**2 + 2/3*u**3 + 80/3 + 52/3*u = 0.
-1, 4, 10
Let s be 3/(-8) - (-93)/(-8). Let v = s - -11. Let h(t) = -t - 1. Let b(y) = -3*y**2 - 9*y - 4. Let a(w) = v*b(w) - 2*h(w). Factor a(p).
(p + 3)*(3*p + 2)
Let q(w) = -11*w**3 - 18*w**2 - 27*w - 8. Let s(i) = -9*i**3 - 18*i**2 - 27*i - 9. Let j(u) = -3*q(u) + 4*s(u). Determine o so that j(o) = 0.
-4, -1
Let b(x) = -x**2 - 8*x. Let y be b(-5). Let c be (-6 - -25) + -27 + 10. Factor -y*z + 13*z + 2*z + 2*z**c.
2*z**2
Let s(t) be the first derivative of 48668*t**5/25 - 176157*t**4/5 - 125488*t**3/5 - 32992*t**2/5 - 768*t - 3674. Factor s(l).
4*(l - 15)*(23*l + 4)**3/5
Factor 720*q - 83*q**2 + 78*q**2 + 62 - 521 - 256.
-5*(q - 143)*(q - 1)
Let m = -4745 - -4747. Let c(d) be the first derivative of -8*d + 4/5*d**5 + 6*d**m + 4/3*d**3 - 27 - 3*d**4. Find x, given that c(x) = 0.
-1, 1, 2
Let m = -37474 - -152919/4. Let k = -752 + m. Factor 3/4*r**2 - k - 3*r.
3*(r - 5)*(r + 1)/4
Suppose -2*f + 18 = 4*g, 2*f + 3 = -2*f + 5*g. Suppose f*s - 15 = -9. Determine d so that 2*d + 3*d**2 + 4*d**s - 6*d**2 = 0.
-2, 0
Suppose -8*u + 811 - 892 = -35*u. Let d(p) be the first derivative of -3/2*p**4 - 22 - 8*p**5 + 4/3*p**u + 0*p**2 + 0*p. Factor d(v).
-2*v**2*(4*v - 1)*(5*v + 2)
Let r(c) = -c**3 + 17*c**2 + 17*c + 22. Let x be r(18). Factor -7*k**4 + 14*k**4 - 2*k**2 - 6*k**x + k**3.
k**2*(k - 1)*(k + 2)
Let h(l) be the first derivative of 16*l**5/5 - 105*l**4 - 328*l**3/3 + 54*l**2 + 2074. Factor h(w).
4*w*(w - 27)*(w + 1)*(4*w - 1)
Let v = 4701/10675 + -18/1525. Determine s so that 27/7*s + 0 + v*s**3 + 18/7*s**2 = 0.
-3, 0
Let q = 482/1047 - -72/349. Let v(h) be the first derivative of 1/2*h**2 + q*h**3 + 0*h + 1/4*h**4 - 8. Factor v(k).
k*(k + 1)**2
Let b(c) = c**2 - c + 2. Let k(s) = 7*s**2 + 8*s - 9. Let w(a) = -4*b(a) - k(a). Let t(q) = 2*q**2 + q. Let j(n) = 6*t(n) + w(n). What is h in j(h) = 0?
-1
Suppose 1952*a**2 - 576 + 28*a**4 + 839*a - 44*a + 266*a + 276*a**3 + 332*a**3 + 347*a = 0. Calculate a.
-18, -2, 2/7
Let i = -41909 + 166153/4. Let p = i - -372. What is a in p*a + 1/4*a**2 + 0 = 0?
-5, 0
Let j(s) be the first derivative of s**6/3 + 22*s**5/5 + 39*s**4/2 + 30*s**3 - 7982. Factor j(m).
2*m**2*(m + 3)**2*(m + 5)
Let c(y) = -y**2 + 13*y + 4. Let q be c(13). Suppose q = 14*u - 13*u. Let 8/5*p**2 + 0*p + 0 + 2*p**u + 2/5*p**5 + 16/5*p**3 = 0. What is p?
-2, -1, 0
Let o(l) be the first derivative of 3*l**4/4 - 1062*l**3 + 563922*l**2 - 133085592*l + 1037. Factor o(b).
3*(b - 354)**3
Suppose 4*x = 4*k + 5732, -2621 = -4*k - 2*x - 8353. Let s = k - -5739/4. Factor -3/2*m - 1/4*m**2 + s.
-(m - 1)*(m + 7)/4
Find h, given that -884*h**2 - 400*h + 160*h**2 + 4*h**3 - 272 + 214*h**2 + 209*h**2 + 177*h**2 = 0.
-2, -1, 34
Let y(d) = 9*d**2 - 3*d + 2. Let v be y(1). Suppose 2*s = -3*s - 4*l - v, -2 = 5*s + l. Factor 5*h + 3*h**2 + s*h**3 - 13*h**2 + 2*h**3 + 3*h**3.
5*h*(h - 1)**2
Suppose -168 = c + 11*c. Let x be (-14)/98 - (79/c + 1). Factor 243/2 + x*j**2 - 1/6*j**3 - 81/2*j.
-(j - 9)**3/6
Let y(i) be the first derivative of -2*i**3/3 + 150*i**2 - 298*i - 3092. Let y(v) = 0. What is v?
1, 149
Let u(a) = a**3 - 7*a**2 - 28*a + 12. Let x be u(10). Find g, given that 10*g + 150*g - x*g - 519 - 505 - 4*g**2 = 0.
16
Let h(i) be the third derivative of 2/245*i**7 - 9*i**2 + 2/35*i**5 + 1/1176*i**8 + 0*i**3 + 13/420*i**6 + 0 + 0*i + 1/21*i**4. Find l such that h(l) = 0.
-2, -1, 0
Let r(k) = 50*k**3 + 302*k**2 + 243*k - 30. Let v(p) = 17*p**3 + 100*p**2 + 81*p - 8. Let b(q) = 2*r(q) - 7*v(q). Solve b(o) = 0 for o.
-4, -1, -1/19
Let b(y) = y**2 - 9*y + 25. Let g be b(3). Let i(h) = -h**3 + 4*h**2 - 4*h + 3. Let t be i(3). Factor 9 - 5*q**3 + 15*q + t*q**3 + g - 6.
-5*(q - 2)*(q + 1)**2
Suppose -652*k + 660*k - 24 = 0. Let u(q) be the third derivative of -1/12*q**4 + 1/60*q**6 - 4*q**2 + 1/105*q**7 + 0 + 0*q**k - 1/30*q**5 + 0*q. Factor u(d).
2*d*(d - 1)*(d + 1)**2
Factor 549*r + 1155*r**2 - 307*r - 1157*r**2 - 708.
-2*(r - 118)*(r - 3)
Let d = -76357 - -76359. Factor 1/4*g**4 + 17/8*g**3 + 6*g**d + 2 + 13/2*g.
(g + 2)**2*(g + 4)*(2*g + 1)/8
Let c(u) be the first derivative of -u**3/6 + 29*u**2/6 - 80*u/3 + 848. Solve c(p) = 0 for p.
10/3, 16
Let x be 1/((-7)/2) - (-519)/(-21). Let d = x + 37. Solve d*r**2 - 3*r**2 + 15 - 15 - 6*r = 0.
0, 2/3
Suppose -3*a + 4 = -a. Determine x, given that 20*x**3 - 2*x**a - 25*x + 20*x**4 - 8*x**2 - 10 + 5*x**2 - 5*x**2 + 5*x**5 = 0.
-2, -1, 1
Let j be 12/16 - 8*12/128. Let l(n) be the third derivative of 7/6*n**3 + j*n - 1/3*n**4 + 1/60*n**5 - 7*n**2 + 0. Suppose l(a) = 0. What is a?
1, 7
Let k(u) be the third derivative of -7*u**5/12 - 4635*u**4/8 - 1985*u**3/3 + 335*u**2 + 2*u. Factor k(i).
-5*(i + 397)*(7*i + 2)
Let j(r) be the first derivative of -r**3/9 + 129*r**2/2 - 386*r/3 - 11505. What is p in j(p) = 0?
1, 386
Let 448*u - 1/8*u