/54*v**4 - 7/27*v**3 + 8/9*v**2 + 71*v + 0. Factor w(t).
-2*(t - 1)*(t + 8)/9
Let k(h) be the second derivative of -32/7*h**2 + 60*h + 1/42*h**4 + 0 + 2/3*h**3. Factor k(u).
2*(u - 2)*(u + 16)/7
Let m(c) be the first derivative of -c**4/2 - 46*c**3/3 - 3*c**2 + 70*c + 29. Let b(u) = u**3 + 31*u**2 + 4*u - 46. Let y(a) = 8*b(a) + 5*m(a). Factor y(i).
-2*(i - 9)*(i - 1)*(i + 1)
Let m(g) = g**2 + g + 1. Let a(o) = 221*o + 5 + 7*o**2 - 219*o + 2*o**2 - o**3. Let t(v) = a(v) - 5*m(v). Suppose t(w) = 0. Calculate w.
0, 1, 3
Let s be (-4)/(-26) + (375/13 - 8). Find f, given that 27 - 35*f + s*f**2 + 23*f**2 + 33 - 39*f**2 = 0.
3, 4
Factor -23 + 31/2*t**3 - 340*t**2 - 757/2*t.
(t - 23)*(t + 1)*(31*t + 2)/2
What is l in 44*l**2 - 4*l**4 - 2*l**3 + 75*l**3 + 72*l - 105*l**3 = 0?
-9, -1, 0, 2
Let u = -210 + 246. Let o be u/144 - (-22)/8. Factor 3/8*f**5 + 0*f**4 - 3/4*f**2 - 9/8*f**o + 0 + 0*f.
3*f**2*(f - 2)*(f + 1)**2/8
Find a, given that -4*a + 1/2*a**2 - 105/2 = 0.
-7, 15
Factor -2/9*o**4 + 0*o + 0 + 20/3*o**2 + 26/9*o**3.
-2*o**2*(o - 15)*(o + 2)/9
Let x(j) be the second derivative of 7*j**4/4 + 29*j**3 + 24*j**2 + 617*j. Solve x(l) = 0.
-8, -2/7
Let r = 133/177 - 5/59. Let g be (-9)/120*-4*100/180. Factor -2/3 + r*s - g*s**3 + 1/6*s**2.
-(s - 2)*(s - 1)*(s + 2)/6
Suppose 3*d + 2*k = -80, -322 + 426 = -4*d - 2*k. Let p be (d/(-75))/(4305/4275 + -1). Factor -72/5*w**2 + 0 + 0*w - 128/5*w**4 + p*w**3 + 4*w**5.
4*w**2*(w - 3)**2*(5*w - 2)/5
Let r = 259 - 256. Solve -j**3 - 4*j**r - j**3 + 3 + 7*j**2 + 6*j + 0*j - 10*j**2 = 0.
-1, -1/2, 1
Let s(f) be the third derivative of f**6/780 + 2*f**5/195 - 19*f**4/156 + 14*f**3/39 + f**2 - 448*f. Factor s(l).
2*(l - 2)*(l - 1)*(l + 7)/13
Let c be 198/528*97/15 + (-20)/32. Factor -1/5*s**2 + 0*s + c.
-(s - 3)*(s + 3)/5
Let l = 7550 + -7547. Factor -5/6*f**2 - 2/3*f + 0 - 1/6*f**l.
-f*(f + 1)*(f + 4)/6
Let p(b) = 7*b - 117. Let t be p(17). What is c in -c**3 + 0*c**t - 3*c + c**2 + c**4 - 5*c - 11*c**2 = 0?
-2, -1, 0, 4
Let y(k) = -1630*k**2 - 8105*k + 2040. Let a(c) = 110*c**2 - 1. Let f(u) = 15*a(u) + y(u). What is d in f(d) = 0?
1/4, 405
Let f be (-144)/(-2 + 14) - -12. Solve f + 4*d**2 - 4/3*d**4 + 0*d + 8/3*d**3 = 0.
-1, 0, 3
Let o(y) = 5*y**2 - 385*y - 460. Let n(d) = -d**2 + 64*d + 77. Let z be 136/34 - (0 - 2). Let i(w) = z*o(w) + 35*n(w). Factor i(v).
-5*(v + 1)*(v + 13)
Let y = 25257 - 25254. Factor 0 + 6/5*a - 4/5*a**2 - 2/5*a**y.
-2*a*(a - 1)*(a + 3)/5
Let w be 0 + (-3)/(6/(-14)). Let b be 4*84/40 + (-4)/10. Factor b*k + 8 + k**2 - 11 - 3*k**3 + w.
-(k - 2)*(k + 1)*(3*k + 2)
Let c be -16 + 6 - ((-584)/7)/8. Factor -c*f**2 + 33/7*f - 54/7.
-3*(f - 9)*(f - 2)/7
Factor 1838*k + 368*k**3 - 51*k**3 + 662*k + 19*k**3 + 18*k**4 + 382*k**2 + 1468*k**2.
2*k*(k + 2)*(3*k + 25)**2
Let g be (36/1224)/((-12)/(-240)). Solve -58/17*f**2 - 114/17*f**3 + 12/17 - 74/17*f**4 - 16/17*f**5 + g*f = 0 for f.
-2, -1, 3/8
Let u(r) be the second derivative of -1/30*r**5 + 0*r**4 + 7*r**2 - 13*r + 1/3*r**3 + 0. Let i(x) be the first derivative of u(x). Factor i(f).
-2*(f - 1)*(f + 1)
Let i(t) be the second derivative of 1/35*t**6 + 0 + 0*t**2 + 3/70*t**5 - 1/7*t**3 - 67*t - 1/14*t**4. Determine g, given that i(g) = 0.
-1, 0, 1
Let l(d) be the first derivative of -260*d**6/3 + 484*d**5/5 + 655*d**4 + 1820*d**3/3 + 30*d**2 - 144*d + 1710. Let l(k) = 0. What is k?
-1, -4/5, -1/2, 3/13, 3
Let p = 23 + -6. Let f(d) = 15*d - 116. Let u be f(8). Factor -37*t**2 + 18*t**2 + u - 108*t**3 - p*t**2 + 12*t.
-4*(3*t - 1)*(3*t + 1)**2
Let g be -23 + 19 + (36 - 0). Let x = g + -29. Find s such that -3*s**x + 9*s**2 - 6*s + 0*s - 5*s + 3 + 2*s = 0.
1
Let x = -1484 + 19. Let y = -27829/19 - x. Factor 2/19*b**3 - 2/19*b**2 - y - 10/19*b.
2*(b - 3)*(b + 1)**2/19
Let r(u) be the first derivative of u**6/200 + 7*u**5/100 + 7*u**4/20 + 4*u**3/5 + 2*u**2 - 6*u + 73. Let i(c) be the second derivative of r(c). Factor i(p).
3*(p + 1)*(p + 2)*(p + 4)/5
Suppose 17*h = 16*h - 3*o - 1397, -4*h = -2*o + 5616. Let a = h + 1406. Factor 3 + 3/5*f**a - 3*f**2 - 3/5*f.
3*(f - 5)*(f - 1)*(f + 1)/5
Let k = -6885 - -27541/4. Let m(y) be the second derivative of -1/24*y**4 - k*y**3 - 1/2*y**2 + 0 + 6*y. Factor m(p).
-(p + 1)*(p + 2)/2
Let h = 2371 + -2371. Let t(m) be the second derivative of 1/90*m**4 + h - 1/3*m**2 - 4/45*m**3 - 14*m. Determine v so that t(v) = 0.
-1, 5
Let r(h) be the second derivative of 3*h**2 + 2/3*h**3 + 2 - 1/6*h**4 + 34*h. Factor r(x).
-2*(x - 3)*(x + 1)
Suppose 4*k = 5*h + 2*k - 75, 0 = h - 2*k - 23. Find y such that 3*y**2 - h*y + 15*y + 3 + 4*y = 0.
-1
Suppose 0 = 109*u - 105*u - 64. Suppose -1 + 8*k + 5 + u*k**2 + 12*k = 0. What is k?
-1, -1/4
Let u(r) be the second derivative of r**7/126 + r**6/45 - 11*r**5/30 + 4*r**4/9 + 7*r**3/6 - 3*r**2 + 3*r - 173. Suppose u(f) = 0. What is f?
-6, -1, 1, 3
Let k(d) be the first derivative of d**5/50 + d**4/2 + 21*d**3/5 + 49*d**2/5 - 95*d - 148. Let b(w) be the first derivative of k(w). Factor b(i).
2*(i + 1)*(i + 7)**2/5
Factor 0 + 745/2*o**3 + 190*o**2 + 5/2*o + 185*o**4.
5*o*(o + 1)**2*(74*o + 1)/2
Let n(m) be the first derivative of 4*m**3/21 - 6*m**2/7 - 352*m/7 - 1470. Let n(r) = 0. Calculate r.
-8, 11
Let p = 1288862/15 - 85924. Factor 0 + 2/15*u**5 - p*u**2 + 2/15*u**4 + 0*u - 2/15*u**3.
2*u**2*(u - 1)*(u + 1)**2/15
Let p(j) = 2*j**2 + 11*j + 11. Let l be p(-5). Let q(k) be the first derivative of -3/4*k**4 - 23 - 12*k - 27/2*k**2 - l*k**3. Find y such that q(y) = 0.
-4, -1
Let r be ((-72)/468)/(1/(-13)). Solve 60*i + 65 - 37*i**r + 70*i**2 - 38*i**2 = 0 for i.
-1, 13
Let z be 8/(-7) + (-128)/256*(-106)/28. Factor -69/4*k - 33/4 - 39/4*k**2 - z*k**3.
-3*(k + 1)**2*(k + 11)/4
Let u(r) be the third derivative of r**6/480 + r**5/12 + 83*r**4/96 - 13*r**3/3 - 1857*r**2. Factor u(n).
(n - 1)*(n + 8)*(n + 13)/4
Let a = -407 + 416. Factor 13*n - a*n**2 + 13*n**2 + 3*n.
4*n*(n + 4)
Let t(z) = 2 - 7 - 10 - 5*z - 4*z - 11 + 2*z**2. Let d be t(-2). Factor 3/7*s**4 - 3/7*s**5 + d + 0*s**2 + 0*s + 0*s**3.
-3*s**4*(s - 1)/7
Factor 380250 + 780*l + 2/5*l**2.
2*(l + 975)**2/5
Let i = -193467 - -193470. Factor -1/3*o**4 + 5 - 28/3*o + 4/3*o**i + 10/3*o**2.
-(o - 5)*(o - 1)**2*(o + 3)/3
Let t be (-1)/(6*60/(-54)) + 216/135. Determine b so that t*b - 1/4*b**2 + 9/2 = 0.
-2, 9
Let -128*i**3 + 136*i + 4*i**5 - 8257*i**4 - 8440*i**4 - 12*i - 120*i**2 + 16817*i**4 = 0. What is i?
-31, -1, 0, 1
Let l(c) be the second derivative of 0*c**2 + 39*c - 1 + 1/70*c**5 - 1/14*c**4 + 2/21*c**3. Determine f, given that l(f) = 0.
0, 1, 2
Let j be 6 + (7590/255)/(9/(-2)). Let m = 18/17 + j. Factor -2/9*x**5 + m*x**4 + 0 - 4/9*x**2 + 0*x**3 + 2/9*x.
-2*x*(x - 1)**3*(x + 1)/9
Factor -14/3*f + 7/6*f**3 - 16*f**2 + 0.
f*(f - 14)*(7*f + 2)/6
Let j(p) = -3*p**2 + 10639*p + 14108672. Let m(i) = 8*i**2 - 31914*i - 42326016. Let d(u) = -14*j(u) - 5*m(u). Determine n so that d(n) = 0.
-2656
Suppose -77*a**4 + 138*a**2 + 63*a + 17*a**3 + 162*a**4 + 7*a + 49*a**3 - 87*a**4 = 0. What is a?
-1, 0, 35
Let m = -3184/3 - -1062. Let c = -5/21 + 4/7. Factor 1/3*d**2 + c - m*d.
(d - 1)**2/3
Factor 306/5*v**2 - 132/5*v**3 + 87/5 + 3*v**4 - 276/5*v.
3*(v - 1)**3*(5*v - 29)/5
Let q(g) be the third derivative of 0 - 1/100*g**5 + 0*g - 28*g**2 - 6/5*g**3 - 7/40*g**4. What is a in q(a) = 0?
-4, -3
Suppose 3*q - 8 = 1. Let z = 117 - 114. Let 48*p**2 - 40*p**2 - 8*p**4 - 4*p**5 + 4*p - 3*p**z + q*p**3 = 0. What is p?
-1, 0, 1
Let j(l) be the third derivative of 4489*l**6/3060 + 67*l**5/255 + l**4/51 - 37*l**3/2 + 47*l**2. Let r(d) be the first derivative of j(d). Solve r(z) = 0.
-2/67
Let n(q) be the third derivative of -q**5/80 + 3*q**4/4 + 45*q**3/2 - 490*q**2. Factor n(i).
-3*(i - 30)*(i + 6)/4
Factor 42*d**2 + 150 - 38 - 152*d - 28*d**2 + 72*d**3 + 230*d**2 + 440*d + 4*d**4.
4*(d + 1)**2*(d + 2)*(d + 14)
Let r be (1 - -1) + 0 - (-1 + 2). Let q = -18 + 23. Let f(d) = d - 1. Let v(g) = 3*g**2 + 19*g + 53. Let i(p) = q*f(p) + r*v(p). What is u in i(u) = 0?
-4
Let z(l) be the second derivative of -l**4/66 + 131*l**3/33 - 130*l**2/11 + 74*l + 10. Factor z(f).
-2*(f - 130)*(f - 1)/11
Let w be 1183/(-52)*(-4)/(-1). Let v = w + 93. Find b such that -81 - 4*b + 89 + 0*b**v - 4*b**2 = 0.
-2, 1
Let g = 1156081/7 + -165147. Solve 20/7*w**2 - g*w + 4 + 4/7*w*