ve of j(n). Find q such that c(q) = 0.
-2, 0
Suppose 0 = -837*a + 1021 + 426 + 227. Factor 1/2*y**3 + y - 3/2*y**a + 0.
y*(y - 2)*(y - 1)/2
Suppose -5*v - 2589 + 2592 = 3*h, -v + 23 = -5*h. What is u in 4/7*u**4 + 0*u**2 - 4/7*u**5 + 8/7*u**v + 0 + 0*u = 0?
-1, 0, 2
Solve 13 + 72*b**3 - 3*b**5 - 58*b - 186*b**2 - 64 - 3 + 229*b + 0*b**5 = 0.
-6, 1, 3
Factor -37*r**2 + 4840*r**3 - 4844*r**3 - 39*r**2 + 16*r**2 - 144*r.
-4*r*(r + 3)*(r + 12)
Suppose 53*x - 65 = 40*x. Let s(m) be the first derivative of 0*m**x + 6*m - 2*m**3 - 14 - 1/2*m**6 - 9/2*m**2 + 3*m**4. Factor s(c).
-3*(c - 1)**3*(c + 1)*(c + 2)
Let g(k) be the third derivative of k**6/360 + k**5/12 + 3*k**4/8 + 53*k**3/6 + 18*k**2 + 2. Let a(m) be the first derivative of g(m). Factor a(y).
(y + 1)*(y + 9)
Let m = -22 + 25. Factor 3669*t - 3711*t - m*t**2 + 27 - 174.
-3*(t + 7)**2
Let z(a) be the first derivative of a**6/80 - 17*a**5/60 + 41*a**4/48 - 5*a**3/6 - 3*a**2/2 + 14*a + 80. Let k(h) be the second derivative of z(h). Factor k(b).
(b - 10)*(b - 1)*(3*b - 1)/2
Let d(c) be the second derivative of c**4/48 + 17*c**3/4 - c - 473. Factor d(q).
q*(q + 102)/4
Let b(v) = -4*v**3 - 85*v**2 - 13*v + 171. Let c be b(-21). Let -298/15*w**2 - 16/5 - 116/15*w**c - 14/15*w**4 - 244/15*w = 0. Calculate w.
-4, -3, -1, -2/7
Suppose 2*b + k = 11 - 0, -1 = -b + 4*k. Suppose 2*j + 16 = 5*j - 4*o, 1 = -j - b*o. Factor 0 + 2*v**j - 2/5*v**5 - 4/5*v - 18/5*v**3 + 14/5*v**2.
-2*v*(v - 2)*(v - 1)**3/5
Let p = 295/1107 + 1/5535. Let y(l) be the first derivative of 1/18*l**6 - p*l**5 + 0*l**2 - 4 + 0*l + 1/3*l**4 + 0*l**3. Determine x, given that y(x) = 0.
0, 2
Let l(q) = 2*q**2 - 6*q - 255. Let p be l(-12). Let b be ((-8)/(-3))/(p/45). Determine x so that -10/7*x**3 + 6/7*x**2 + 10/7*x + 2/7 - b*x**4 = 0.
-1, -1/4, 1
Let h(k) be the first derivative of 1/10*k**4 - 7/5*k**2 - 93 - 8/15*k**3 + 4*k. Factor h(m).
2*(m - 5)*(m - 1)*(m + 2)/5
Suppose 283*y = 200 + 286 + 80. Factor 104/5 - 20*d - 4/5*d**y.
-4*(d - 1)*(d + 26)/5
Let c = -332 + 352. Let l(a) = -a**4 + a**3 - 2*a**2. Let p(v) = 8*v**4 - 10*v**3 + 28*v**2. Let f(r) = c*l(r) + 2*p(r). Factor f(m).
-4*m**2*(m - 2)*(m + 2)
Suppose 11*s = -15 + 37. Factor -h + 77*h**4 + 2*h**2 - h**5 + 4*h**2 - 78*h**4 - 4*h**s + 2*h**3 - 1.
-(h - 1)**2*(h + 1)**3
Let c = 294988 + -294976. Factor -c*w - 2/17*w**2 - 306.
-2*(w + 51)**2/17
Solve 157/5*s**2 + 0 + 23/5*s**4 + 68/5*s + 111/5*s**3 + 1/5*s**5 = 0 for s.
-17, -4, -1, 0
Let z = -32157/8 - -225147/56. Find v such that 3/7*v + z*v**2 - 10/7 + 1/7*v**3 = 0.
-5, -2, 1
Let p(c) = -c**3 - 2*c**2 + 14*c + 78. Let s(z) = z**3 + z**2 - 16*z - 78. Let h(d) = 4*p(d) + 5*s(d). Let f(t) be the first derivative of h(t). Factor f(k).
3*(k - 4)*(k + 2)
Let o(b) be the first derivative of 2*b**3/39 - b**2/13 - 4*b/13 - 692. Factor o(x).
2*(x - 2)*(x + 1)/13
Let r(g) = -6*g + 92. Let l be r(15). Find k, given that -4787 - 261*k + 4733 - 33*k**3 + 8*k**l + 184*k**2 = 0.
-2/11, 3
Factor 120 - 7*i**2 + 67*i + 5*i**2 + 11*i**3 + 127*i - i**4 - 286*i.
-(i - 10)*(i - 2)**2*(i + 3)
Let w = 708308 - 479820. Determine f so that -19307236/3*f**3 - 2704*f - 32/3 - w*f**2 = 0.
-2/169
Suppose 3*f + f = -64. Let q be 4/(f/(-255)) + 30/(-40). Factor -q*m - m**3 - 45 - 36 + 5*m**2 + 20*m**2 - 8*m**2.
-(m - 9)**2*(m + 1)
Let m(s) be the third derivative of s**8/2352 - s**7/294 - 3*s**6/280 + 13*s**5/420 + s**4/6 + 2*s**3/7 + 20*s**2 + 2*s. Factor m(n).
(n - 6)*(n - 2)*(n + 1)**3/7
Let d(i) be the third derivative of i**7/168 + 49*i**6/480 + 5*i**5/8 + 3*i**4/2 + 8717*i**2. Factor d(x).
x*(x + 2)*(x + 3)*(5*x + 24)/4
Solve 576/5*s - 528/5*s**2 - 1/5*s**4 - 47/5*s**3 + 0 = 0.
-24, 0, 1
Let n(c) be the first derivative of -2704*c**5/55 - 1066*c**4/11 - 556*c**3/11 - 5*c**2 - 2*c/11 - 3222. What is o in n(o) = 0?
-1, -1/2, -1/26
Let o be (86/(-12))/((-1240)/80). Let v = o - 4/31. Factor -v*p**5 + 0 - p**3 + 0*p + 1/3*p**2 + p**4.
-p**2*(p - 1)**3/3
Let b = -3890 + 7783/2. Let u(s) be the first derivative of -3/16*s**4 + 15/8*s**2 + 3/20*s**5 - b*s + 17 - 3/4*s**3. Suppose u(w) = 0. What is w?
-2, 1
Suppose 424 + 12*a - 8*a**3 + 728 + 16*a**3 - 12*a**3 - 540*a + 80*a**2 = 0. Calculate a.
6, 8
Let l(p) be the second derivative of -3*p**5/20 - 77*p**4/4 + p**3/2 + 231*p**2/2 - 1257*p - 1. Find y, given that l(y) = 0.
-77, -1, 1
Let v(r) = 2*r**2 + r + 1. Let g(z) = -28*z**2 + 364*z - 384. Let h(s) = g(s) + 12*v(s). Let h(p) = 0. What is p?
1, 93
Let v(p) be the first derivative of p**5/70 + p**4/42 - p**3 - 45*p**2/7 - 90*p - 53. Let t(f) be the first derivative of v(f). Factor t(r).
2*(r - 5)*(r + 3)**2/7
Let w(d) be the third derivative of 1/180*d**5 + 5/24*d**4 - 46 + 0*d + 2*d**2 + 7/9*d**3. Factor w(b).
(b + 1)*(b + 14)/3
Let x(s) be the third derivative of -s**8/168 - 4*s**7/105 + 31*s**6/60 - 7*s**5/15 - 4*s**4 + 346*s**2 - s + 2. Let x(r) = 0. What is r?
-8, -1, 0, 2, 3
Let l(k) be the third derivative of k**6/120 - 16*k**5/15 - k**4/24 + 32*k**3/3 - 856*k**2. Solve l(w) = 0 for w.
-1, 1, 64
Let q(c) be the third derivative of c**7/42 - 11*c**6/24 - 7*c**5/6 + 5*c**4 - 40*c**2. Factor q(x).
5*x*(x - 12)*(x - 1)*(x + 2)
Factor 18*t**2 + 141*t + 3/7*t**3 + 864/7.
3*(t + 1)*(t + 9)*(t + 32)/7
Let n = -560 + 686. Let -2*g**3 + 62 + 5*g**3 + 4*g**3 - 5*g**3 + n*g + 66*g**2 = 0. Calculate g.
-31, -1
Let u(s) be the second derivative of s**5/70 + 32*s**4/7 + 3420*s**3/7 + 97200*s**2/7 - 1114*s. Let u(j) = 0. Calculate j.
-90, -12
Let p(v) be the third derivative of 83*v**2 + 1/24*v**6 + 0 + v**5 + 0*v**3 + 0*v + 25/6*v**4. Solve p(y) = 0.
-10, -2, 0
Suppose 17*p = -30*p - 23*p + 280. Let l(c) be the second derivative of 0 + 14/15*c**3 + 98/5*c**2 + p*c + 1/60*c**4. What is x in l(x) = 0?
-14
Let u(z) be the second derivative of 0*z**2 + 3/14*z**4 + 91*z - 1/147*z**7 + 1/15*z**6 - 3/14*z**5 + 0 + 0*z**3. Let u(i) = 0. Calculate i.
0, 1, 3
Let s = -1109870/3 - -369971. Let -161*n**3 + 0*n + 147*n**2 - 1/3*n**5 + 0 + s*n**4 = 0. What is n?
0, 1, 21
Determine m, given that 43*m - m**2 + 0*m**2 + 251*m - 5*m + 215*m - 503 = 0.
1, 503
Let o(z) = 3*z**2 - 653*z + 6034. Let t be o(208). Suppose 0 + 2/13*l**3 + 32/13*l + 16/13*l**t = 0. Calculate l.
-4, 0
Let t(x) be the third derivative of x**6/600 + x**5/60 - 3*x**4/10 - 7*x**2 - 2*x. Suppose t(i) = 0. Calculate i.
-9, 0, 4
Let x(n) be the third derivative of 0 + 1/48*n**4 - 1/240*n**6 + 1/120*n**5 + 37*n**2 - 1/12*n**3 + 0*n. Factor x(o).
-(o - 1)**2*(o + 1)/2
Let u(w) be the first derivative of 4*w**5/5 + 19*w**4 + 256*w**3/3 - 168*w**2 + 5371. Factor u(t).
4*t*(t - 1)*(t + 6)*(t + 14)
Let w(o) = -o**3 + 65*o**2 + 4057*o - 101. Let v be w(104). What is s in -7/4*s**2 + 1/2 + 3/4*s - 3/4*s**v + 5/4*s**4 = 0?
-1, -2/5, 1
Let f be ((-371)/(-154) + -8)*-74. Let o = f + -413. Factor 2/11*p**2 + o - 8/11*p.
2*(p - 2)**2/11
Suppose -28 - 267 = -59*o. Let y be -2 + o - 30/(-22). Suppose 8/11*p**4 - 20/11 - y*p**2 + 34/11*p**3 - 94/11*p = 0. What is p?
-5, -1, -1/4, 2
Let h(g) be the third derivative of -g**8/168 + 12*g**7/7 - 119*g**6/20 + 89*g**5/15 + 1095*g**2 + 2. Determine o so that h(o) = 0.
0, 1, 178
Let y(v) = 12*v**4 - 932*v**3 - 1984*v**2 - 956*v. Let u(r) = r**4 + 5*r**3 + r**2 + 3*r. Let d(p) = -28*u(p) + 2*y(p). Solve d(t) = 0 for t.
-499, -1, 0
Let a(u) be the first derivative of -u**2 + 3*u + 1/6*u**4 + 0*u**3 - 2. Let q(f) be the first derivative of a(f). Factor q(z).
2*(z - 1)*(z + 1)
Factor 0 + 12*h**2 - 27/7*h - 60/7*h**3.
-3*h*(2*h - 1)*(10*h - 9)/7
Let u(i) be the third derivative of 3*i**2 - 1/4*i**4 + 0 + 1/40*i**6 + 0*i**3 - i - 1/20*i**5. Determine s so that u(s) = 0.
-1, 0, 2
Suppose 13*f + 15 = 18*f. Let r(h) be the third derivative of 0 - 5/168*h**4 + 1/420*h**5 + 1/7*h**f + 0*h + 6*h**2. Factor r(s).
(s - 3)*(s - 2)/7
Let t(k) be the second derivative of 961/8*k**2 + 1/48*k**4 - 31/12*k**3 + 39*k + 2. Suppose t(z) = 0. Calculate z.
31
Find d, given that -95*d**3 - 5*d - 10 + 16*d**3 + 10*d**2 + 84*d**3 = 0.
-2, -1, 1
Let j = -21891 - -21894. Let h(q) be the third derivative of 41*q**2 - 1/420*q**5 + 0 + 0*q + 0*q**j + 5/168*q**4. Factor h(s).
-s*(s - 5)/7
Suppose 1099 = j + 1097. Let b(c) be the third derivative of -1/6*c**4 - 14*c**j + 0*c + 1/70*c**5 + 0 + 8/21*c**3. Suppose b(o) = 