+ 1/4*y**4 + 156*y**2 = 0. Calculate y.
-18, -6, -2
Let y(p) be the third derivative of p**5/90 - 20*p**4/9 - 203*p**3/3 - 801*p**2. Factor y(a).
2*(a - 87)*(a + 7)/3
Let s(l) = -190*l + 596. Let x be s(3). Let b(f) be the first derivative of x - 10*f + 11*f**2 + 1/2*f**4 - 14/3*f**3. Let b(g) = 0. Calculate g.
1, 5
Let m(q) be the first derivative of -5*q**3/3 + 4510*q**2 - 4068020*q - 2207. Solve m(d) = 0 for d.
902
Suppose 0 = 58*z + 322 + 151 - 647. Factor -60/7 - 27/7*q**2 - 72/7*q - 3/7*q**z.
-3*(q + 2)**2*(q + 5)/7
Let g(v) be the third derivative of 1/120*v**6 + 0 - 58*v**2 - 49/24*v**4 + 25/6*v**3 + 23/60*v**5 + 0*v. Suppose g(s) = 0. Calculate s.
-25, 1
Let l be ((-953)/(-1) + 3)*3/6. Let d = l + -2389/5. Determine h, given that -1/5*h**2 + 1/5*h**5 + 0*h + d*h**4 - 1/5*h**3 + 0 = 0.
-1, 0, 1
Factor 24*j**3 - 384 + 90*j**2 - 96*j + 3/2*j**4.
3*(j - 2)*(j + 2)*(j + 8)**2/2
Let m(z) be the second derivative of z**5/170 - 56*z**4/51 + 641*z**3/51 - 530*z**2/17 - 157*z - 1. Determine j so that m(j) = 0.
1, 5, 106
Suppose 100*z + 6 = 103*z. Let o be (z/4)/((-10)/(-20)) - -2. Find l, given that 0*l + 1/3*l**4 + 0 + o*l**2 - 2*l**3 = 0.
0, 3
Suppose -122/21 - 118/21*f**2 - 2/21*f**3 + 242/21*f = 0. What is f?
-61, 1
Let i = -264783380651/5322 + 49752608. Let k = 2/887 - i. Suppose -1/6*z + 0 + k*z**2 = 0. Calculate z.
0, 1
Let b(w) be the third derivative of -w**5/60 - 133*w**4/12 + 89*w**3/2 - 1344*w**2. Solve b(c) = 0 for c.
-267, 1
Let k = -48894 + 146687/3. Factor 15*v - 10*v**2 + k*v**3 - 20/3.
5*(v - 4)*(v - 1)**2/3
Let i = 8026/31581 + -112/3509. Factor 2/9*c**4 - i*c**2 + 0 + 4/9*c - 4/9*c**3.
2*c*(c - 2)*(c - 1)*(c + 1)/9
Factor 55776/5*o - 56448/5 + 134*o**2 + 2/5*o**3.
2*(o - 1)*(o + 168)**2/5
Solve 1711 + 4*z**4 - 310*z**2 - 38*z**2 - 226*z - 212254*z**3 - 4090*z + 18569 + 212314*z**3 = 0 for z.
-13, 5, 6
Let j(q) be the first derivative of -q**5 - 65*q**4/4 + 175*q**3 - 835*q**2/2 + 380*q + 2532. Determine h, given that j(h) = 0.
-19, 1, 4
Let f(n) = n + 1. Let w(y) = 4*y**3 - 40*y**2 + 56*y + 100. Let t(m) = 12*f(m) + w(m). What is i in t(i) = 0?
-1, 4, 7
Let s(t) be the third derivative of 1/105*t**5 + 5*t**2 + 0 + 0*t**4 + 0*t + 0*t**3 - 1/105*t**6 - 1/2352*t**8 + 1/294*t**7. Factor s(b).
-b**2*(b - 2)**2*(b - 1)/7
Let x(k) = 141*k**2 - 273*k - 630. Let f(l) = -39*l**2 + 78*l + 180. Let c(s) = 18*f(s) + 5*x(s). Let c(i) = 0. Calculate i.
-10, -3
Find u, given that 53/7*u + 75/7 - 1/7*u**3 - 23/7*u**2 = 0.
-25, -1, 3
Let g be (5/(-2))/((-16)/((-832)/(-65))). Let m = -20 + 29. Solve 26*k**g - 96*k**3 - 6 - 41*k - m*k**2 - 22*k**2 - 89*k**2 - 44*k**4 - 7*k**5 = 0.
-3, -1, -2/7
Let r(y) = 14*y**2 - 15*y - 18. Let f(w) be the second derivative of 0 - 5/12*w**4 + 3*w**2 + 14*w + 5/6*w**3. Let o(h) = 17*f(h) + 6*r(h). Factor o(j).
-(j + 2)*(j + 3)
Let c = -2659/6 + 2663/6. What is l in -c*l**4 + 0 + 0*l + 2/3*l**3 + 8*l**2 = 0?
-3, 0, 4
Let o(v) be the second derivative of -v**6/10 - 2658*v**5/5 - 1177494*v**4 - 1391012912*v**3 - 924328080024*v**2 + 376*v + 1. Find s such that o(s) = 0.
-886
Let j(d) be the first derivative of d**4/2 + 52*d**3/3 - 59*d**2 - 168*d + 417. Find p, given that j(p) = 0.
-28, -1, 3
Let o(l) be the third derivative of l**3 - 225*l**2 + 0 - 1/160*l**6 + 0*l - 7/16*l**4 + 7/80*l**5. Solve o(x) = 0.
1, 2, 4
Let g(c) be the second derivative of -1/10*c**6 + 3/2*c**2 - 97*c + 0*c**4 - c**3 + 0 + 3/10*c**5. Find x such that g(x) = 0.
-1, 1
Let t(q) = q**3 - 6*q**2 - q + 16. Let o be t(8). Solve 129*k - 203*k - 2205 - 5*k**2 - o*k = 0.
-21
Let o = 10187/56210 + 3/5110. Find z such that -12/11 + 12/11*z**2 - o*z + 2/11*z**3 = 0.
-6, -1, 1
Let b(h) = -11*h**3 - h**2. Let w(d) = -71*d**3 + 609*d**2 - 20355*d + 87025. Let z(m) = 6*b(m) - w(m). Factor z(f).
5*(f - 59)**2*(f - 5)
Let u be (-20)/22*(-192)/(-256)*(-84)/35. Factor -12/11*c + 30/11*c**2 + 0 - u*c**3.
-6*c*(c - 1)*(3*c - 2)/11
Suppose 17 = -4*t - 5*l, -5*t + l = 5 - 20. Let k = 359060 - 718117/2. Factor -3*y - k*y**t + 6 + 3/4*y**3.
3*(y - 2)**2*(y + 2)/4
Let h(s) = -8*s**2 - s + 3. Let x(m) = -7*m**2 + 329*m - 661. Let f(y) = h(y) - x(y). Factor f(o).
-(o - 2)*(o + 332)
Let m(o) be the first derivative of 61 + 1/8*o**2 + 13/20*o**5 + 0*o + 1/6*o**6 + 7/12*o**3 + 15/16*o**4. Let m(y) = 0. What is y?
-1, -1/4, 0
Let c(x) be the first derivative of -x**4/22 - 212*x**3/33 - 2912*x**2/11 - 10816*x/11 + 106. Factor c(b).
-2*(b + 2)*(b + 52)**2/11
Let f(x) = 19*x - 77. Let i be f(5). Suppose 0*w**2 + 3*w**4 + i - w**3 + 4*w - 21*w**2 - w - 2*w**3 = 0. Calculate w.
-2, -1, 1, 3
Let c be (-8)/(-12)*(-36)/(-8). Let x be c - ((-17 - -1) + 4). Let -15*o + 20*o**3 - x*o**3 - 6*o**2 + 10*o**3 + 6 = 0. What is o?
-1, 2/5, 1
Let v(h) be the first derivative of -2*h**4/3 - 67*h**3/3 - 3*h**2 + 175*h/3 - 8812. Factor v(z).
-(z + 1)*(z + 25)*(8*z - 7)/3
Let w(f) = f + 43. Let z be w(-39). Factor -11*v + 12*v**2 + 3585*v**3 - 3565*v**3 + z*v**4 - 25*v.
4*v*(v - 1)*(v + 3)**2
Factor -327/5*c - 642/5 - 3/5*c**2.
-3*(c + 2)*(c + 107)/5
Let p(t) = t**3 + 4*t**2 + 2*t - 2. Let y be p(-2). Let f be 5 - y*2/(-4). Factor -5*a**2 - 18*a + a**2 - f*a - 36.
-4*(a + 3)**2
Let z be ((-108)/48)/((-112)/36 - (-3)/27). Let p(y) be the second derivative of z*y**3 - 1/2*y**4 + 19*y + 3/40*y**5 + 0 + 0*y**2. Factor p(i).
3*i*(i - 3)*(i - 1)/2
Determine l so that 28/19 + 2/19*l**4 + 74/19*l + 66/19*l**2 + 22/19*l**3 = 0.
-7, -2, -1
Let q be 80/(-35) - (-7030)/2849. Let y be 4/12 - 1/(-33). Factor -18/11*w**2 - y - 10/11*w**3 - 14/11*w - q*w**4.
-2*(w + 1)**3*(w + 2)/11
Let l = 3127 - 3127. Let i(h) be the second derivative of 44/21*h**3 + 1/105*h**6 + 5/7*h**4 + l + 26*h + 9/70*h**5 + 24/7*h**2. Factor i(z).
2*(z + 2)**3*(z + 3)/7
Let o be 411/1644 + (-2)/(-8). Let t = -7/2 + 4. Factor 1/2*b + 1 - o*b**3 - 3/2*b**2 + t*b**4.
(b - 2)*(b - 1)*(b + 1)**2/2
Let d(o) be the second derivative of -151959/8*o**2 + 0 - 27*o + 4107/8*o**3 + 3/80*o**5 - 111/16*o**4. Factor d(l).
3*(l - 37)**3/4
Let m = -261 - -644. Suppose m*y - 4 = 382*y. Let -5/4 + 5/2*r**3 + 5/2*r**2 - 5/4*r**5 - 5/4*r**y - 5/4*r = 0. What is r?
-1, 1
Suppose 18 = 4*m + 2. Let t be 12/((-6)/(-4)*m/6). Factor -142*v + 65*v - t + 67*v + 50*v**2.
2*(5*v - 3)*(5*v + 2)
Let c(m) be the third derivative of 5*m**8/1008 - m**7/126 - 11*m**6/72 - 7*m**5/36 + 25*m**4/36 + 20*m**3/9 - 905*m**2. What is y in c(y) = 0?
-2, -1, 1, 4
Let a(u) be the first derivative of 2*u**6/27 + 28*u**5/45 + 4*u**4/3 - 16*u**3/27 - 32*u**2/9 - 1503. Let a(c) = 0. What is c?
-4, -2, 0, 1
Suppose 0 = 577*b - 590*b + 312. Factor 14*u**2 - 714 + 3*u**3 + 357*u + 43*u**2 + b + 1425.
3*(u + 5)*(u + 7)**2
Let f(x) be the second derivative of -512/15*x**3 + x - 4/5*x**6 + 0*x**2 - 2/105*x**7 - 193/25*x**5 + 4 + 32*x**4. Factor f(b).
-4*b*(b - 1)**2*(b + 16)**2/5
Let r(i) be the first derivative of -1/48*i**4 + 1/2*i**2 + 25 - 32*i - 1/80*i**5 + 1/6*i**3. Let a(w) be the first derivative of r(w). Factor a(m).
-(m - 2)*(m + 1)*(m + 2)/4
Let d(f) be the third derivative of -43*f + 0*f**3 - 1/30*f**5 + 2*f**2 + 0 - 1/3*f**4. Factor d(v).
-2*v*(v + 4)
Solve -202/5*o**2 - 38726/5 + 2/5*o**3 + 5134/5*o = 0 for o.
17, 67
Suppose 0 = -g - 101 + 103. Let -4*l**2 + 50*l - 2*l**2 - 46984 + 46942 - g*l**3 = 0. Calculate l.
-7, 1, 3
Let k(b) = -b**4 - 1. Let a(x) = -9*x**4 - 9*x**3 - 3*x**2 + 9*x. Let h be 10/(-4)*4/(-5). Suppose 1 = -p + h*p. Let v(j) = p*a(j) - 6*k(j). Factor v(n).
-3*(n - 1)*(n + 1)**2*(n + 2)
Let v(h) be the first derivative of 0*h**3 - 18 + 8/105*h**5 + 0*h - 13/2*h**2 - 2/21*h**4 - 1/70*h**6. Let m(n) be the second derivative of v(n). Factor m(w).
-4*w*(w - 2)*(3*w - 2)/7
Let u(f) be the third derivative of 0*f**3 + 5*f**2 + 1/360*f**6 + 1/15*f**5 + 0*f - 13/72*f**4 + 0. Factor u(w).
w*(w - 1)*(w + 13)/3
Let -2194/7*s - 2/7*s**3 - 1100/7*s**2 - 1096/7 = 0. What is s?
-548, -1
Let l(v) = 4*v**2 - 1188*v + 3704. Let h(q) = -2*q**2 + 792*q - 2468. Let w(r) = -8*h(r) - 5*l(r). Solve w(y) = 0 for y.
-102, 3
Let j = -7 + 24. Let u(s) = 2*s - 20. Let p be u(j). Suppose t**4 - 45*t**3 + 16*t**3 + 4*t**2 + 11*t**3 + p*t**3 = 0. What is t?
0, 2
Let n be (-25086)/(-10283) - (44/(-52) - -1). Find d such that -26/7*d**2 - n*d - 12/7*d**3 - 2/7 = 0.
-1, -1/6
Solve -653*a**