*(-2 - s/(-6)). Find k, given that i*k**2 + 0*k + 0 - 8/3*k**3 = 0.
0, 1/4
Factor 1540*q**3 - 769*q**3 - 770*q**3 - 98*q**2.
q**2*(q - 98)
What is c in 0 + 2/11*c**2 - 100/11*c = 0?
0, 50
Let p be 12/(-8)*(-32)/24. Suppose 3*w + 8*o + 6 = 4*o, 10 = 2*w - p*o. Factor 0 + 15/2*c + 3/2*c**w.
3*c*(c + 5)/2
Suppose 15 = -10*r + 45. Factor -81 - 3*l**5 + 81 + r*l**4 + 6*l**3 + 0*l**3.
-3*l**3*(l - 2)*(l + 1)
Let k(j) = -j**3 + 27*j**2 - 43*j - 170. Suppose 0 = 174*y - 178*y + 100. Let i be k(y). What is f in -4/9*f - 10/9*f**3 - 2*f**2 + 14/9*f**i + 0 + 2*f**4 = 0?
-1, -2/7, 0, 1
Let j(s) be the first derivative of 65/4*s**4 + 25/3*s**3 + 5/3*s**6 - 10*s - 15/2*s**2 + 9*s**5 - 116. Find n, given that j(n) = 0.
-2, -1, 1/2
Let t(h) be the second derivative of 7/6*h**4 + h - 5/2*h**2 + 1/8*h**5 - 4 + 13/12*h**3. Factor t(f).
(f + 1)*(f + 5)*(5*f - 2)/2
Let y(j) be the first derivative of -3/40*j**5 + 9/4*j**2 + 1/4*j**3 + 8*j - 2 - 3/8*j**4. Let v(x) be the first derivative of y(x). Factor v(r).
-3*(r - 1)*(r + 1)*(r + 3)/2
Let z(u) be the second derivative of u**8/1512 - u**7/135 + 2*u**6/135 + 8*u**5/135 - 12*u**2 + 27*u. Let k(d) be the first derivative of z(d). Factor k(f).
2*f**2*(f - 4)**2*(f + 1)/9
What is u in 1159*u - 116/3*u**2 + 1/3*u**3 - 2166 = 0?
2, 57
Determine s, given that -6*s**4 + 10*s**5 - 2*s**5 + 6*s**2 + 5*s - 2*s - 11*s**5 = 0.
-1, 0, 1
Let m(x) be the first derivative of x**4 - 28*x**3 + 232*x**2 - 384*x - 2604. Factor m(d).
4*(d - 12)*(d - 8)*(d - 1)
Factor 602355951928 + 15008*c**3 - 2717714*c**2 - 2*c**4 - 18398542*c**2 - 3698857809272 + 13204698752*c - 2*c**4.
-4*(c - 938)**4
Let d = -1321 - -1324. Let w(i) be the second derivative of 0 - 1/3*i**d + 5/42*i**4 + 11*i + 3/7*i**2 - 1/70*i**5. Let w(n) = 0. Calculate n.
1, 3
Let o be (897/(-182))/23*8/15. Let h = 176/315 + o. Factor 0 + y**4 + h*y**2 - 2/9*y**5 + 0*y - 4/3*y**3.
-y**2*(y - 2)**2*(2*y - 1)/9
Let k be 14 - ((-1431)/(-240) + 8). Let q(m) be the second derivative of -3/8*m**2 - 1/8*m**3 + 4*m + 0 + 1/16*m**4 + k*m**5. Factor q(a).
3*(a - 1)*(a + 1)**2/4
Let d(u) be the second derivative of -2*u**6/15 + 23*u**5/5 + 203*u**4/3 + 150*u**3 - 900*u**2 - 2029*u. Let d(v) = 0. Calculate v.
-5, -3, 1, 30
Let l(n) be the first derivative of n**6/70 - 2*n**5/7 + 13*n**4/84 + 12*n - 154. Let t(y) be the first derivative of l(y). Find x, given that t(x) = 0.
0, 1/3, 13
Let v(w) = 7*w**5 + 18*w**4 + 20*w**3 + 9*w**2 - 5*w - 5. Let g(n) = 11*n**5 + 28*n**4 + 31*n**3 + 14*n**2 - 8*n - 8. Let u(c) = 5*g(c) - 8*v(c). Factor u(b).
-b**2*(b + 1)**2*(b + 2)
Let c(n) be the third derivative of -n**7/42 - 75*n**6/4 - 51073*n**5/12 - 21000*n**4 - 125440*n**3/3 - 14*n**2 - 45*n - 2. Solve c(o) = 0.
-224, -1
Let m(y) be the second derivative of y**5/50 - 37*y**4/6 - 373*y**3/15 - 187*y**2/5 - 28*y + 8. Factor m(h).
2*(h - 187)*(h + 1)**2/5
Solve 6/11*q**4 - 600/11*q**3 + 14994/11*q**2 + 600/11*q - 15000/11 = 0 for q.
-1, 1, 50
Solve 856*z**2 - 4968*z + 10167*z**2 + 17644*z**2 - 3275*z**2 + 243 = 0.
9/92
Let j(l) be the second derivative of -3/4*l**2 + 12 + 1/8*l**3 - 3*l + 1/16*l**4. Factor j(z).
3*(z - 1)*(z + 2)/4
Let b = -2/797 - -1620/10361. Let g(y) = y**3 + 10*y**2 + 15*y + 57. Let k be g(-9). Factor -6/13*f + 8/13*f**2 - 36/13 + b*f**k.
2*(f - 2)*(f + 3)**2/13
Let l(x) be the first derivative of -x**6/2 + 24*x**5/5 - 45*x**4/4 - 4*x**3 + 30*x**2 - 1490. What is b in l(b) = 0?
-1, 0, 2, 5
Let g = 1396373/3 + -465163. Determine f so that 512/3*f - 320*f**2 - 84*f**5 - 64/3 - 400/3*f**3 + g*f**4 = 0.
-1, 2/9, 2/7, 2
Let w(r) = -209*r**2 + 214*r**2 + 4*r - 2*r - 2 + r. Let u be w(2). Let 47 - 55*z - u*z**3 + 3*z**4 - 32 + 54*z**2 + 7*z = 0. What is z?
1, 5
Determine f, given that f**5 - 16 + 104*f**2 + 287/5*f**3 + 284/5*f + 64/5*f**4 = 0.
-5, -4, -2, 1/5
Let u(j) be the second derivative of j**5/4 - 45*j**4 + 535*j**3/6 - 147*j - 1. Factor u(c).
5*c*(c - 107)*(c - 1)
Let b = -108678/5 - -21736. Let j(o) be the first derivative of -4*o**3 + b*o**5 - 21 + 16*o - 1/2*o**4 + 4*o**2. Let j(i) = 0. Calculate i.
-2, -1, 2
Suppose 0 = 2*n + 5*n - 252. Suppose -5*p + n = d, -32 = -d + 2*p - 3. Factor -7*q**4 - 12*q**3 - 63*q + 34*q - 3*q**2 + d*q.
-q*(q + 1)**2*(7*q - 2)
Suppose 9*v - 8*v + 5*l = -20, -4 = v + l. What is n in 23 - 19 + n**2 + v*n - 4*n = 0?
2
Let d be ((-69329)/(-35) - 4) + (-12)/30. Let v = 1977 - d. Factor 24/7*x - 20/7 - v*x**2.
-4*(x - 5)*(x - 1)/7
Let t(z) be the first derivative of -1/2*z**4 + 119 + 8/3*z**3 + 11*z**2 + 12*z. Find w such that t(w) = 0.
-1, 6
Let g(l) be the first derivative of l**6/30 + 6*l**5/5 + 16*l**4/3 + 225*l**2/2 + 40. Let o(z) be the second derivative of g(z). Factor o(n).
4*n*(n + 2)*(n + 16)
Let j = 3465 - 10393/3. Let b(s) be the first derivative of 9/4*s**4 + 4/5*s**5 + 0*s**2 + j*s**3 + 0*s - 4. Let b(a) = 0. Calculate a.
-2, -1/4, 0
Let i(m) = -m**2 + 134*m + 698. Let q be i(-5). Let v = 1621 - -225. Factor -v + 1846 + 30*x**2 - 5*x**q.
-5*x**2*(x - 6)
Let 573*c + 2*c**3 + 580*c - 1743*c + 582*c - 40*c**2 + 160 = 0. Calculate c.
-2, 2, 20
Let p(i) = -i**4 + 26*i**3 - 3*i**2 - 815*i + 778. Let u(x) = -2*x**4 + 24*x**3 - 2*x**2 - 816*x + 776. Let o(v) = -4*p(v) + 3*u(v). Solve o(q) = 0 for q.
-14, -7, 1, 4
Let w be 8/12 - 846/(-27). Factor -3*a**4 + 4*a**2 + 4*a**4 + w*a**3 - 112*a**3 - 6228*a - 5*a**4 + 6308*a.
-4*a*(a - 1)*(a + 1)*(a + 20)
Let t(y) be the first derivative of 47 + 74/3*y**2 - 14*y**3 - 32/3*y. Factor t(g).
-2*(7*g - 2)*(9*g - 8)/3
Let a(c) = 4*c**3 + 6*c**2 + c + 5. Let u be (-20)/(-6)*(-30)/(-20). Let b(r) = 5*r**3 + 7*r**2 + 6. Let v(x) = u*b(x) - 6*a(x). Factor v(y).
y*(y - 3)*(y + 2)
Let d be 5*(1504/150 - 10). Solve d*u**3 + 0 - 6/5*u + 16/15*u**2 = 0.
-9, 0, 1
Let n = -1684 - -5054/3. Let w(b) be the second derivative of n*b**3 + 1/15*b**6 - 1/5*b**5 + 0 + 0*b**4 - b**2 + 14*b. Factor w(i).
2*(i - 1)**3*(i + 1)
Let v(u) be the third derivative of -19*u**7/2310 + 227*u**6/660 - 269*u**5/220 + 41*u**4/33 + 2*u**3/3 + 2960*u**2. Find h such that v(h) = 0.
-2/19, 1, 22
Let t be (-9)/(-12) + (-8694)/13608. Factor -7/9 - t*j**2 - 8/9*j.
-(j + 1)*(j + 7)/9
Let g = -1279 - -8971/7. Find z such that -2/7*z**3 + 0*z + g*z**2 + 0 = 0.
0, 9
Let y(s) be the third derivative of 7/20*s**5 + 4/105*s**7 - 23/120*s**6 + 0 + 2*s - 5/24*s**4 - 1/6*s**3 + 27*s**2. Let y(k) = 0. What is k?
-1/8, 1
Solve -12/7 - 2*h + 0*h**2 + 2/7*h**3 = 0 for h.
-2, -1, 3
Let v = -474584 - -474591. Determine f so that 0 + 13/2*f + v*f**2 + 1/2*f**3 = 0.
-13, -1, 0
Let n = -4193/65 + 331/5. Let c = -34/83 + 1936/1079. Solve -14/13*s**2 + c*s**4 + 22/13*s**3 - 4/13 - n*s = 0.
-1, -2/9, 1
Let j(s) = -s**2 - 654*s - 108879. Let c(h) = 2*h**2 + 1306*h + 217751. Let o(g) = 3*c(g) + 7*j(g). Factor o(l).
-(l + 330)**2
Let m(p) be the second derivative of p**6/45 + 29*p**5/30 + 95*p**4/18 - 125*p**3/9 - 33*p + 34. Factor m(h).
2*h*(h - 1)*(h + 5)*(h + 25)/3
Let h(s) = 9*s**2 + 1401*s + 4374. Let g(q) = -2*q**2 - 280*q - 876. Let m(t) = -14*g(t) - 3*h(t). Factor m(f).
(f - 286)*(f + 3)
Let p(z) be the first derivative of z**4/8 - 95*z**3/2 + 20163*z**2/4 + 20449*z/2 + 3167. Determine u, given that p(u) = 0.
-1, 143
Let q(r) be the third derivative of -r**8/151200 - 13*r**7/37800 + 61*r**5/60 + 2*r**2 + r. Let t(x) be the third derivative of q(x). Factor t(h).
-2*h*(h + 13)/15
Solve -421/3*h - 1/3*h**2 + 424 = 0.
-424, 3
Let v = -1071 - -1076. Let q(c) be the second derivative of 0*c**v - 1/2*c**4 + 0 + 1/10*c**6 - 5*c + 0*c**3 + 3/2*c**2. Factor q(s).
3*(s - 1)**2*(s + 1)**2
Suppose -4*l - 5*i + 154 = 0, 3*i + i - 8 = 0. Let o = l + -34. Let 6*q + q + q + 3*q**o - 20*q + 12 = 0. What is q?
2
Let x(n) = 5*n**2 - 64*n + 131. Let m(k) = -30*k**2 + 385*k - 785. Let u(w) = -w**3 - w**2 + 3*w - 25. Let p be u(0). Let c(h) = p*x(h) - 4*m(h). Factor c(t).
-5*(t - 9)*(t - 3)
Let i = 38422/27 - 1423. Let c(a) be the third derivative of 17*a**2 + 13/270*a**5 + 0*a + 0 - 1/135*a**6 - i*a**4 - 4/9*a**3. Factor c(w).
-2*(w - 2)**2*(4*w + 3)/9
Let i(b) = 7342*b + 22028. Let d be i(-3). Suppose 48/13 + 28/13*f + 2/13*f**d = 0. Calculate f.
-12, -2
Let o(s) = 6*s**3 - 60*s**2 - 24*s + 350. Let v(x) = -2*x**3 + 21*x**2 + 8*x - 117. Let p(t) = -3*o(t) - 10*v(t). Factor p(l).
2*(l 