*6/192 + 7*x**5/480 - x**4/64 - 1256*x**2. Suppose k(w) = 0. Calculate w.
0, 1, 3
Suppose 2*s + d - 16 = 0, s + d + 56 = 66. Let u(x) be the first derivative of 1/4*x**4 + 4/9*x**3 + 0*x - 18 - 2/3*x**2 - 1/18*x**s - 2/15*x**5. Factor u(l).
-l*(l - 1)**2*(l + 2)**2/3
Find y, given that -292/5*y**3 - 348/5*y**2 + 64 + 292/5*y + 28/5*y**4 = 0.
-1, 1, 80/7
Suppose 0 = 2*d + 3*q + 14 - 79, 176 = 5*d + 3*q. Let h = 41 - d. Factor -378*g**2 + 22*g**4 + 29*g**h - 648 + 57*g**3 + 972*g - 54*g**4.
-3*(g - 6)**3*(g - 1)
Determine b so that -71*b**2 - 2624 - 1320*b + 65*b**2 + 2*b**2 = 0.
-328, -2
Let s(k) be the second derivative of -4 + 2*k**3 + 1/10*k**6 + 3/2*k**2 + k + 3/2*k**4 + 3/5*k**5. Factor s(b).
3*(b + 1)**4
Let o be 3/2*(-1)/3 + 3568/224. Factor o*b - 3/7*b**2 - 972/7.
-3*(b - 18)**2/7
Suppose -f + 2 + 4 = 0. Suppose -f*p + 20 = -40. Find b such that -5 + 3*b**4 - b**4 + 3*b**4 + p*b**3 - 10*b = 0.
-1, 1
Let w(c) be the second derivative of -5*c**7/42 + 8*c**6/3 - 41*c**5/2 + 60*c**4 + 45*c**3/2 - 540*c**2 - 4*c + 2. Factor w(o).
-5*(o - 8)*(o - 3)**3*(o + 1)
Suppose -618*t**3 - 605*t**3 - 3 - 9*t + 1220*t**3 - 9*t**2 = 0. What is t?
-1
Let p(z) be the first derivative of -z**7/1680 + 11*z**6/360 - 7*z**5/12 + 25*z**4/6 - 28*z**3/3 - 114. Let s(q) be the third derivative of p(q). Factor s(v).
-(v - 10)**2*(v - 2)/2
Let a(h) = -h**3 + 8*h**2 + 9*h + 3. Let k be a(9). What is b in 5*b**2 - 4885 + b**5 + 6*b**k - 7*b - 3*b**2 + 4888 - 5*b**4 = 0?
-1, 1, 3
Let f be ((-3150)/(-675))/(441/27). Factor -f*x**4 + 0*x + 1/7*x**3 + 1/7*x**5 + 0*x**2 + 0.
x**3*(x - 1)**2/7
Let b be ((-21)/(-14))/((-2)/(-6))*-2. Let i be 1 - (0 - (-3)/9)*b. Factor i*j + 5*j**2 - 10 - j - 2*j + 4*j.
5*(j - 1)*(j + 2)
Let s = -3451/5 + 2969/5. Let g = -1406/15 - s. Factor -8/3*c**3 + 4/3*c**5 + g*c**2 + 4/3*c - 4/3*c**4 - 4/3.
4*(c - 1)**3*(c + 1)**2/3
Let x = -396 - -400. Factor 310*c**4 - 158*c**4 + 14*c - 18*c**2 - 154*c**x + 10*c**3 - 4.
-2*(c - 2)*(c - 1)**3
Let k(d) be the third derivative of d**7/945 - d**5/270 - 1427*d**2 - d - 1. Solve k(w) = 0.
-1, 0, 1
Let o(m) = -28*m**2 - 71*m + 42. Let l be o(-3). Let z(v) be the second derivative of -5/36*v**4 - 13*v + 55/9*v**l + 0 - 605/6*v**2. Solve z(r) = 0.
11
Suppose 2*t - 2*p = -t - 4, 4*p - 28 = -4*t. Find d, given that -12*d**t + 15*d**3 - 10*d + 2*d**2 + 15*d**2 = 0.
-1, 0, 2/3
Let j be (-78693)/7293 + 11 + (-2)/(-13). Factor -4/11 + 2/11*a**3 + j*a**2 - 2/11*a.
2*(a - 1)*(a + 1)*(a + 2)/11
Let n(z) be the third derivative of -z**6/360 + z**4/18 - 9*z**2. Factor n(m).
-m*(m - 2)*(m + 2)/3
Let t(x) be the second derivative of x**8/6720 - 11*x**7/2520 + x**6/30 + 3*x**5/10 + 19*x**4/6 - 212*x. Let a(b) be the third derivative of t(b). Factor a(h).
(h - 6)**2*(h + 1)
Let g(o) be the second derivative of o**5/50 + 11*o**4/15 - 93*o - 2. Factor g(h).
2*h**2*(h + 22)/5
Suppose -54 = -3*v + 3*d + 144, -v + 63 = 2*d. Let v*o**2 - 20*o**3 - 24*o - 4*o**4 + 156*o + 72 - 21*o**2 = 0. Calculate o.
-6, -1, 3
Let t(k) = 3*k**4 - k**3 - 1 + 0 - 2*k**4 + 0*k**3. Let q(i) = -20*i**4 + 10*i**3 + 5*i**2 + 5*i + 15. Let y(m) = q(m) + 15*t(m). Factor y(w).
-5*w*(w - 1)*(w + 1)**2
Solve 81/4*v + 9/4*v**2 - 9/4*v**3 + 0 - 1/4*v**4 = 0.
-9, -3, 0, 3
Let b(h) = -h**3 - 9*h**2 + 3*h + 27. Let v be b(-9). Suppose v = 8*w - 3*w - 10. Suppose -20/3*i + 2/3*i**4 + 2 + 8*i**w - 4*i**3 = 0. Calculate i.
1, 3
Suppose -4/5*s**2 + 1/5*s**4 + 6/5*s**3 - 24/5*s + 0 = 0. What is s?
-6, -2, 0, 2
Let b(g) = 3*g**2 - 6*g + 36. Let a(j) = 4*j**2 - 15*j + 74. Let x(w) = -3*a(w) + 5*b(w). Factor x(r).
3*(r - 2)*(r + 7)
Suppose -5*f = 4*d - 33, -4*d - 6*f = -4*f - 18. Let l(x) be the first derivative of -2/3*x**3 - 14 - 3/20*x**4 + 4/5*x**d + 0*x. Factor l(w).
-w*(w + 4)*(3*w - 2)/5
Let i(f) be the third derivative of -f**6/220 - 14*f**5/165 - 8*f**4/33 + 6*f**2 - 357. Factor i(x).
-2*x*(x + 8)*(3*x + 4)/11
Factor 32/5*z**2 + 102/5*z + 2/5*z**3 + 72/5.
2*(z + 1)*(z + 3)*(z + 12)/5
Let l(f) be the second derivative of 17*f**4 - 49*f + 3*f**2 - 27/4*f**5 - 1 - 25/2*f**3. Factor l(p).
-3*(p - 1)*(5*p - 2)*(9*p - 1)
Let y(w) be the first derivative of 19 + 0*w**2 + 10*w + 1/40*w**5 + 0*w**3 - 1/12*w**4. Let h(g) be the first derivative of y(g). What is v in h(v) = 0?
0, 2
Factor -414/5 + 51/5*p + 3/5*p**2.
3*(p - 6)*(p + 23)/5
Suppose 0 = -4*z - 920 - 636. Let i = z + 391. Suppose 0*f - 12/5*f**i + 0 - 3/5*f**3 = 0. Calculate f.
-4, 0
Let f(d) = -d**2 + 8*d + 4. Let o be f(8). Let v = -181 - -183. Factor -8*a - a + 0*a**3 + 16*a**v - 3*a - o*a**3.
-4*a*(a - 3)*(a - 1)
Let t(w) be the first derivative of -2*w**6 - 76*w**5/5 - 15*w**4 + 36*w**3 + 20*w**2 - 641. Solve t(k) = 0 for k.
-5, -2, -1/3, 0, 1
Let o(w) be the first derivative of w**6/6 + 5*w**5/3 - 35*w**4/6 - 530*w**3/9 + 385*w**2/2 + 147*w - 4823. Find d, given that o(d) = 0.
-7, -1/3, 3
Let m(c) be the first derivative of -7*c**6/2 + 36*c**5/5 + 579*c**4/4 - 702*c**3 + 810*c**2 + 648*c + 3301. Solve m(g) = 0.
-6, -2/7, 2, 3
Suppose b**5 - 44/3*b + 2*b**2 + 20/3*b**4 - 8 + 13*b**3 = 0. Calculate b.
-3, -2, -2/3, 1
Let 9/2*h**4 + 0 + 1/2*h**5 - 6*h**3 + 0*h - 10*h**2 = 0. Calculate h.
-10, -1, 0, 2
Let x(w) be the first derivative of 13 + 1/6*w**4 + 1/9*w**2 + 2/9*w**3 + 2/45*w**5 - 24*w. Let q(v) be the first derivative of x(v). Factor q(n).
2*(n + 1)**2*(4*n + 1)/9
Factor -1/2*w**5 + 0*w + 0 + 0*w**4 + 3/2*w**3 - w**2.
-w**2*(w - 1)**2*(w + 2)/2
Let a = 142 + -165. Let k be (-24)/(-168) + a/(-7). Determine b, given that k*b**4 + 8/7*b + 2*b**5 + 0 - 24/7*b**2 - 22/7*b**3 = 0.
-2, -1, 0, 2/7, 1
Let u be ((-5152)/24 - 0)/(2/(-3)). Let w = u + -2573/8. Determine z, given that 0*z**2 + 0 + 3/4*z**4 + 0*z**3 - w*z**5 + 0*z = 0.
0, 2
Let m(z) = z**3 + 1901*z**2 + 3773*z + 1899. Let x(v) = 2*v**3 + 3808*v**2 + 7545*v + 3804. Let i(w) = 15*m(w) - 6*x(w). Factor i(t).
3*(t + 1)**2*(t + 1887)
Let j(i) be the second derivative of 0 + 0*i**3 + 4/3*i**4 - 243*i + 1/10*i**5 - 8/15*i**6 - 1/21*i**7 + 0*i**2. Determine l, given that j(l) = 0.
-8, -1, 0, 1
Let v(x) = -13*x - 32. Let w be v(-3). Suppose 0 = w*q - 50 + 50. Suppose 8/7*y**4 + q*y + 0*y**2 + 4/7*y**3 + 0 + 4/7*y**5 = 0. Calculate y.
-1, 0
Factor -4580*y**4 - 1216 + 87*y - 44 + 4576*y**4 + 4*y**3 + 112*y**2 + 321*y - 28*y**3.
-4*(y - 3)**2*(y + 5)*(y + 7)
Let r be (-4)/35*(-210)/240. Let s(l) be the second derivative of -r*l**5 - 5/3*l**3 - 7*l - 2*l**2 - 2/3*l**4 + 0. Determine x so that s(x) = 0.
-2, -1
Let o(u) be the second derivative of 5*u + 0*u**2 - 5/54*u**4 + 2/45*u**5 - 1/135*u**6 + 2/27*u**3 + 0. Factor o(s).
-2*s*(s - 2)*(s - 1)**2/9
Let g(z) be the second derivative of 55/6*z**3 - 15*z + 1 + 5/12*z**4 + 25*z**2. Factor g(l).
5*(l + 1)*(l + 10)
Find h such that 1/6*h**5 + 0*h**4 - 19/6*h**3 + 0*h + 5*h**2 + 0 = 0.
-5, 0, 2, 3
Let v(n) = -3 - 10*n - 4*n**2 - 2 + 14*n**2. Let h(y) = -y**4 + 11*y**2 - 10*y - 4. Suppose 180 = 41*p - 25 - 0. Let r(t) = p*h(t) - 4*v(t). Solve r(j) = 0.
-2, 0, 1
Factor -5*h**4 - 3*h - 340*h**3 + 1014180*h**2 + 0*h - 1013480*h**2 + 3*h.
-5*h**2*(h - 2)*(h + 70)
Let q(p) be the first derivative of -5*p**6/6 + 9*p**5 + 145*p**4/4 - 135*p**3 + 110*p**2 + 3450. What is v in q(v) = 0?
-4, 0, 1, 11
Let i(o) be the third derivative of -o**6/660 + 157*o**5/330 - 520*o**4/11 + 2028*o**3/11 - 31*o**2 - 104*o. Suppose i(d) = 0. Calculate d.
1, 78
Let k = -11275 - -11278. Let m(u) be the third derivative of 0 + 8/3*u**k - 13*u**2 + 0*u + 1/15*u**5 - 5/6*u**4. Factor m(s).
4*(s - 4)*(s - 1)
Let y(p) be the first derivative of p**5/20 - 3*p**4/4 - 7*p**3/2 + 27*p**2/2 + 3*p + 152. Let h(k) be the second derivative of y(k). Factor h(v).
3*(v - 7)*(v + 1)
Find o, given that -316/7*o**2 + 90*o - 944/21 + 2/21*o**3 = 0.
1, 472
Factor 0 + 1/6*m**4 - 14/3*m - 1/2*m**3 - 4*m**2.
m*(m - 7)*(m + 2)**2/6
Let j(n) = 21*n**4 + 677*n**3 - 111553*n**2 + 221178*n - 110235. Let g(i) = 2*i**4 + i**3 + 6*i - 1. Let a(b) = 22*g(b) - 2*j(b). Solve a(q) = 0 for q.
1, 332
Let -3/4*m**2 + 855/2 + 561/4*m = 0. Calculate m.
-3, 190
Let g(i) be the third derivative of i**5/20 + i**4 - 10*i**3 - 320*i**2 + 2. Suppose g(a) = 0. What is a?
-10, 2
Factor 2/7*j**3 + 918/7*j - 14*j**2 + 7290/7.
2*(j - 27)**2*(j + 5)/7
Let n = -8 + -36. Let c = n + 46. Determine 