/2 - 15*z**3 - 5*z**2 - 2646. Find f such that j(f) = 0.
-2, -1, -1/4, 0, 1
Let l(j) be the first derivative of j**7/1050 + j**6/200 - j**4/30 + 31*j**2/2 - 164. Let m(d) be the second derivative of l(d). Factor m(y).
y*(y - 1)*(y + 2)**2/5
Let r be (-3)/(-1 + 1 - 1). Let v(g) = -2391*g**2 + 2386*g**2 + 3*g + g - 5. Let a(y) = y + 1. Let b(s) = r*a(s) + v(s). Factor b(x).
-(x - 1)*(5*x - 2)
Solve -32/11 + 14/11*l + 1/11*l**2 = 0 for l.
-16, 2
Suppose 0*x - 6 = -3*x. Suppose -8 = -x*o - 0. Factor 4*z**3 + 4*z**3 + z**3 - 4*z**3 - 5*z**5 + 5*z**2 - 5*z**o.
-5*z**2*(z - 1)*(z + 1)**2
Suppose 4*z - 324 = -5*y, z = -2*y + 73 + 11. Let c be ((-3)/z)/(-5 + 474/96). Factor 0 + c*w + 34/19*w**2 + 10/19*w**3.
2*w*(w + 3)*(5*w + 2)/19
Let y be (1*1/3)/((-25)/375). Let u be (-5)/2*10/y. Factor v**3 + 16*v**2 - u*v + 3*v**3 + 4*v + 5*v - 24.
4*(v - 1)*(v + 2)*(v + 3)
Let j(t) = t**2 + 9*t + 24. Let y be j(-6). Suppose -152 = -y*x + 4. Let -8 - 10*w - 14*w - 18*w**4 - 12*w**3 + 16*w**4 - x*w**2 = 0. What is w?
-2, -1
Suppose -8 = 19*o - 21*o. Factor 128*y**5 + 2*y**4 - 16*y**2 + 2*y**o - 124*y**5 + 32*y - 24*y**3.
4*y*(y - 2)*(y - 1)*(y + 2)**2
Factor 216/11*h**3 - 2/11*h**4 + 157464/11*h - 8748/11*h**2 - 1062882/11.
-2*(h - 27)**4/11
Let p(j) = 8. Let u(g) = -3*g**2 - 441*g - 846. Let o(w) = -3*p(w) + u(w). Factor o(i).
-3*(i + 2)*(i + 145)
Let g(w) be the first derivative of w**4/96 + 4*w**3/3 + 63*w**2/16 - 112*w + 14. Let q(p) be the first derivative of g(p). Solve q(a) = 0.
-63, -1
Let q(h) = h**3 + h**2 + h - 2. Let v(a) = -3*a**3 + 2*a**2 - 4*a - 74. Let i(w) = -4*q(w) - v(w). Let y(p) be the first derivative of i(p). Factor y(k).
-3*k*(k + 4)
Let d(p) be the first derivative of 2*p**3/3 - 175*p**2/2 - 732*p + 7947. Suppose d(a) = 0. Calculate a.
-4, 183/2
Factor -58*b**2 + 235*b**2 + 390 - 62*b**2 - 58*b**2 - 393*b - 54*b**2.
3*(b - 130)*(b - 1)
Let c(b) be the first derivative of -b**5/20 + 49*b**4/4 + 133*b**3/4 - 297*b**2/4 + 6687. Factor c(i).
-i*(i - 198)*(i - 1)*(i + 3)/4
Let -304/11*w**2 - 190/11*w + 10/11*w**3 + 124/11 = 0. What is w?
-1, 2/5, 31
Suppose u + 4*q = 36, 4*u - 24 = -5032*q + 5031*q. Factor -2/3 + 29/6*b**2 - 23/6*b**3 - 2/3*b - 5/6*b**u + 7/6*b**5.
(b - 1)**3*(b + 2)*(7*b + 2)/6
Let u(o) be the second derivative of -5*o**4/24 + 385*o**3/12 - 365*o**2 + 350*o - 1. Factor u(w).
-5*(w - 73)*(w - 4)/2
Let g be (7590/5775 + 4/14)/((-2)/(-5)). Let c(y) be the third derivative of 0*y + 1/24*y**g + 16*y**2 - 1/60*y**5 + 0*y**3 + 0. Suppose c(s) = 0. Calculate s.
0, 1
Let u(r) be the third derivative of -r**5/180 + 307*r**4/36 + 1925*r**2. Factor u(v).
-v*(v - 614)/3
Let i(b) be the second derivative of b**5/90 + 26*b**4/27 - 53*b**3/27 + 11*b - 2. Let i(x) = 0. Calculate x.
-53, 0, 1
Let b(p) = -2*p**2 + 16*p + 42. Let v be b(10). Suppose v + o + 19*o - 2*o**2 - 15*o - 5*o**3 = 0. Calculate o.
-1, -2/5, 1
Let d(l) = -5*l**2 - l - 1. Suppose -12*r - 37 = 23. Let x(h) = -5*h**2 + 6 - h + 4 - 12. Let y(t) = r*x(t) + 6*d(t). Factor y(i).
-(i + 1)*(5*i - 4)
Let k(w) be the third derivative of -7*w**5/15 - 2159*w**4/6 - 616*w**3 - 238*w**2 - 1. What is z in k(z) = 0?
-308, -3/7
Find m, given that -2*m**4 - 8*m**3 + 2*m**3 - m**3 + 7*m**3 + 2*m**3 = 0.
0, 1
Let a be (-88)/28 + (-6)/(-42). Let k be a/5 + 0 + (-3 - -6). Find s such that -k*s**3 + 0*s - 8/5*s**2 + 0 + 4/5*s**5 + 0*s**4 = 0.
-1, 0, 2
Let x(s) be the third derivative of -8/195*s**5 + 1/39*s**4 + 0*s**3 + 0 + 7*s - 3/260*s**6 + 2*s**2. Factor x(j).
-2*j*(j + 2)*(9*j - 2)/13
Let a(v) = 45*v**3 + 1480*v**2 + 365*v + 5. Let y(n) = -68*n**3 - 2219*n**2 - 547*n - 8. Let s(q) = 8*a(q) + 5*y(q). Solve s(i) = 0 for i.
-37, -1/4, 0
Factor 4/7*l**2 + 0 + 40*l.
4*l*(l + 70)/7
Let n = 2/3969 + 31742/19845. Suppose -4/5*j**3 - 16/5*j**2 - n - 4*j = 0. What is j?
-2, -1
Solve 216*z**2 + 66 - 434*z**2 + 28*z + 220*z**2 = 0.
-11, -3
Let a be (0 - -1)/(34 - (-2077)/(-62)). Find z such that 2/3*z - a + 2*z**2 - 2/3*z**3 = 0.
-1, 1, 3
Let t = 181721/15 + -12103. Let f(p) be the first derivative of -52/3*p**2 - 16/3*p + 14 - 76/9*p**3 + 16/9*p**6 + 145/6*p**4 - t*p**5. Factor f(x).
2*(x - 2)**3*(4*x + 1)**2/3
Let q(g) be the first derivative of 7*g**5/5 - 19*g**4/3 - 4*g**3 + 22*g - 35. Let z(s) be the first derivative of q(s). Determine l, given that z(l) = 0.
-2/7, 0, 3
Let a = -154929 - -154931. Determine y, given that 65*y**a + 147/4*y - 169/4*y**3 + 9/2 = 0.
-3/13, 2
Factor -26*j**2 - 20*j**2 + 47*j**2 - 1858*j - 1332 + 2522*j.
(j - 2)*(j + 666)
Let t be (-1 - -3)*((-23177)/6321)/((-22)/6). Factor 65/2*c - 20*c**t + 15.
-5*(c - 2)*(8*c + 3)/2
Let w(g) be the second derivative of -g**5/70 - 19*g**4/42 - 2*g + 4336. Factor w(o).
-2*o**2*(o + 19)/7
Let s(h) be the third derivative of -h**6/1140 - 8*h**5/285 - 7*h**4/57 + 722*h**2. Factor s(w).
-2*w*(w + 2)*(w + 14)/19
Let g(k) be the third derivative of k**7/168 - 151*k**6/32 - 303*k**5/16 - 2275*k**4/96 + 3*k**2 + 25*k + 3. Factor g(y).
5*y*(y - 455)*(y + 1)**2/4
Let d(o) = -3*o**2 - 10*o - 6. Let u be d(-5). Let r = u + 33. Determine m so that 5*m + 0*m - r*m - 6*m + 3*m**3 = 0.
-1, 0, 1
Let g(o) be the third derivative of 9129329*o**6/1080 + 43681*o**5/45 + 418*o**4/9 + 32*o**3/27 + 3*o**2 + 5*o + 8. Let g(m) = 0. What is m?
-4/209
Suppose 460 = 4*j + 4*t, 0 = 2*j - 3*t - 40 - 185. Solve 24*q**2 + 71*q + 41*q + 96 - 121*q**4 - 12*q**3 + 231*q**4 - j*q**4 = 0 for q.
-2, 3
Let s(v) = -v**3 + 60*v**2 + 129*v + 59. Let p(t) = 4*t**3 - 240*t**2 - 514*t - 237. Let c(m) = 6*p(m) + 22*s(m). Factor c(h).
2*(h - 62)*(h + 1)**2
Let j(c) be the third derivative of 4/105*c**5 + 4 + 1/420*c**6 + 0*c**3 + 1/12*c**4 + 0*c - c**2. Determine t so that j(t) = 0.
-7, -1, 0
Determine l, given that -21675/8*l**4 + 108885/4*l**3 - 89253/2*l**2 - 24 + 2055*l = 0.
2/85, 2, 8
Let a(w) be the second derivative of w**4/84 - w**3/3 + 7*w**2/2 - 106*w - 3. Factor a(j).
(j - 7)**2/7
What is v in -382/3*v + 1/3*v**2 + 0 = 0?
0, 382
Let l(u) be the third derivative of u**6/160 - 57*u**5/40 + 111*u**4/8 - 55*u**3 - 3334*u**2. Suppose l(b) = 0. Calculate b.
2, 110
Let c(f) = -f**3 + 99*f**2 - 221*f - 313. Let i(w) = 6*w**3 - 396*w**2 + 885*w + 1251. Let v(d) = -9*c(d) - 2*i(d). Determine r, given that v(r) = 0.
-35, -1, 3
Let r(h) be the first derivative of 2*h**3/3 + 296*h**2 - 594*h - 258. Factor r(z).
2*(z - 1)*(z + 297)
Let w = 58373/10 + -70239/10. Let i = -1186 - w. Determine b, given that 4/5*b**2 - i*b - 1/5 = 0.
-1/4, 1
Let p be (-11 - -3 - -5)/(3 - (11 - 2)). Factor 5/3*m - p - 2*m**2 - 1/6*m**4 + m**3.
-(m - 3)*(m - 1)**3/6
Let p(k) = -21 - 5*k**2 - 8*k + k - 4*k**3 - 10*k. Let b(h) = 3*h**3 + 4*h**2 + 16*h + 20. Let l(g) = 5*b(g) + 4*p(g). Suppose l(q) = 0. What is q?
-2, 4
Suppose 53 = -24*y - 71 + 172. Let n(i) be the second derivative of 0 + 0*i**y - 1/120*i**6 - 32*i + 0*i**4 + 0*i**3 + 1/40*i**5. Factor n(t).
-t**3*(t - 2)/4
Let d = -10110 - -1314311/130. Let n(b) be the second derivative of -3/13*b**3 + 5*b - d*b**5 - 5/26*b**4 - 2/13*b**2 - 1/65*b**6 + 0. Solve n(j) = 0 for j.
-1, -2/3
Let h(o) be the second derivative of -o**5/80 - 81*o**4/16 + 41*o**3 - 247*o**2/2 - 6023*o. Factor h(s).
-(s - 2)**2*(s + 247)/4
Let b(u) be the third derivative of u**6/480 - 11*u**5/120 - 1144*u**2. Factor b(a).
a**2*(a - 22)/4
Let w(z) = 59*z**2 + 75*z + 90. Let d(o) be the second derivative of -11*o**4/12 - 5*o**3/2 - 9*o**2 + 24*o - 1. Let y(x) = 11*d(x) + 2*w(x). Factor y(m).
-3*(m + 2)*(m + 3)
Determine p so that 864*p - 272 + 36*p**4 - 534*p**2 + 3*p**5 - 112 + 52*p**3 - 37*p**3 = 0.
-8, 1, 2
Let d(o) be the first derivative of -18*o**2 + 49/2*o**3 - o**4 - 48*o - 31. Let q(b) be the first derivative of d(b). Factor q(r).
-3*(r - 12)*(4*r - 1)
Let q(s) be the third derivative of s**8/84 + 134*s**7/315 + 1087*s**6/270 + 1367*s**5/135 - 652*s**4/27 + 160*s**3/9 + 2*s**2 - 3103. What is w in q(w) = 0?
-15, -4, 1/3
Let 2*j**4 + 4*j**5 + 867*j**4 - 25*j**4 + 50176*j**3 + 52*j**4 = 0. What is j?
-112, 0
Let t(f) = 2*f**3 - 78*f**2 - 411*f - 346. Let l(c) = 4*c**3 - 156*c**2 - 815*c - 690. Let q(y) = -3*l(y) + 7*t(y). Solve q(p) = 0 for p.
-4, -1, 44
Let d(w) = -w**2 + 144*w - 6 - 131*w - w**2. Let p be d(5). Let -65 - 6*h**2 - 3*h**5 + p*h**4 - 6*h**3 - 64 + 9*h + 126 = 0. 