- 3)**2
Let d(l) be the second derivative of 1/20*l**5 - 7/4*l**4 + 10/3*l**3 + 0*l**2 + 131*l + 0. What is b in d(b) = 0?
0, 1, 20
Let q = 340 - 428. Let s = 794 - q. Factor -405*y - s*y**3 - 1029*y**4 + 243/5 + 1134*y**2 + 7203/5*y**5.
3*(y + 1)*(7*y - 3)**4/5
Let g(v) be the third derivative of 0*v**3 - 3 + 0*v - 1/24*v**4 - 1/32*v**6 - 25*v**2 + 13/240*v**5 - 1/1344*v**8 + 1/120*v**7. Determine x so that g(x) = 0.
0, 1, 4
Let z be (1200/(-63))/(-20) + (-24)/28. Let w(x) be the first derivative of -11 + 2/7*x**2 + 0*x + z*x**3 - 1/14*x**4. Factor w(h).
-2*h*(h - 2)*(h + 1)/7
Let k be (-40)/(-5) + (20/2 - (-196)/(-14)). Factor 0 + 4/7*f - 4/7*f**5 + 8/7*f**k + 0*f**3 - 8/7*f**2.
-4*f*(f - 1)**3*(f + 1)/7
Let x be (-1)/(55 - (-444)/(-8)). Factor -1/2*f**3 + 0 - 1/2*f + f**x.
-f*(f - 1)**2/2
Suppose 1172*b + 83*b**2 + 79*b**2 - 390728 - 246*b**2 + 596*b + 82*b**2 = 0. What is b?
442
Let l(b) = 6*b**3 - 42*b**2 + 369*b. Let o(j) = 6*j**2 + 30*j - 2*j**3 - 83*j + j**3. Let r(v) = 4*l(v) + 27*o(v). Factor r(f).
-3*f*(f - 3)*(f + 5)
Suppose -3*q - 15005 = -14954, u + 2*q + 32 = 0. Suppose 71*c**u + 1/2*c**4 - 43/4*c**3 - 81 - 495/4*c = 0. Calculate c.
-1/2, 4, 9
What is p in -27/2*p**2 - 19/2*p**3 + 0 + 0*p + 1/6*p**5 + 25/6*p**4 = 0?
-27, -1, 0, 3
Let r(d) be the second derivative of 6*d**2 - 44/15*d**3 - 1/12*d**4 + 0 - 228*d + 3/100*d**5. Find z such that r(z) = 0.
-5, 2/3, 6
Let v(d) be the second derivative of -29*d**4/3 + 700*d**3/9 - 16*d**2/3 - 2314*d. Factor v(k).
-4*(k - 4)*(87*k - 2)/3
Let 13/4*v**2 - 1/4*v**4 + 3*v + 0 + 0*v**3 = 0. What is v?
-3, -1, 0, 4
Let h(o) be the third derivative of -17 + 0*o + 1/2*o**5 - 5/8*o**4 - 1/24*o**6 - 25/3*o**3 + o**2. Factor h(v).
-5*(v - 5)*(v - 2)*(v + 1)
Let j(h) be the third derivative of 89*h**5/30 - 133*h**4/9 - 4*h**3/9 + 70*h**2 + 2*h. Factor j(l).
2*(l - 2)*(267*l + 2)/3
Let r(d) be the third derivative of 1/240*d**6 - 1/8*d**4 - 3*d + 2/3*d**3 + 0 - 1/40*d**5 - 9*d**2. Factor r(a).
(a - 4)*(a - 1)*(a + 2)/2
Let h(v) be the first derivative of v**3 + 252*v**2 - 507*v - 539. Factor h(n).
3*(n - 1)*(n + 169)
Let b(w) be the second derivative of 2/9*w**3 + 1/36*w**4 + 51*w - 5/6*w**2 + 0. Factor b(r).
(r - 1)*(r + 5)/3
Let k(u) be the first derivative of -u**6/12 + 19*u**5/10 - 33*u**4/2 + 66*u**3 - 108*u**2 - 1593. Find v such that k(v) = 0.
0, 3, 4, 6
Let t = 42449 - 212196/5. Factor 1/5*z**2 + 14/5*z + t.
(z + 7)**2/5
Suppose -2*v - 69 = -4*d + 3, 20 = d - v. Determine i so that -d - 20 - 11 + 2*i**2 + 39 = 0.
-2, 2
Suppose -4268 = -4*a - 5*k, -a - 9*k + 1078 = -5*k. Factor -a*y**2 - 2*y**3 + 2*y + 1062*y**2.
-2*y*(y - 1)*(y + 1)
Suppose -598*r + 228 + 1566 = 0. Factor 34/9*f + 2/9*f**r + 16/9 + 20/9*f**2.
2*(f + 1)**2*(f + 8)/9
Let z(x) be the first derivative of 2*x**3/21 - 2563*x**2/7 - 5128*x/7 + 8844. Factor z(h).
2*(h - 2564)*(h + 1)/7
Factor 1/5*j**2 + 0 + j.
j*(j + 5)/5
Let r be (-2)/((6/(-7))/((-30)/(-42))). Let h(q) be the first derivative of 0*q**4 - 14 - r*q**3 + q**5 + 0*q**2 + 0*q. What is x in h(x) = 0?
-1, 0, 1
Let h(o) be the third derivative of -o**6/160 - 51*o**5/10 + 819*o**4/32 - 205*o**3/4 - 2*o**2 + 15*o - 8. Factor h(j).
-3*(j - 1)**2*(j + 410)/4
Suppose -31*j + 968 = 13*j. Let i(w) be the first derivative of 15/4*w**3 - 5/4*w**4 - j + 0*w - 5/4*w**2. Factor i(a).
-5*a*(a - 2)*(4*a - 1)/4
Factor 2388*m - 9*m**2 + 13*m**2 - 683892 + 683892.
4*m*(m + 597)
Let w = 6679 - 6677. Let d(k) be the third derivative of 2/5*k**3 - 1/12*k**4 + 23*k**w + 0*k + 0 + 1/150*k**5. Find z such that d(z) = 0.
2, 3
Let y be -18 - (-140)/(-7 + 14). Let v(b) be the first derivative of 1 - 18/5*b - 21/5*b**y - 8/5*b**3. Factor v(g).
-6*(g + 1)*(4*g + 3)/5
Let b(u) be the third derivative of -1/2*u**4 - 3/20*u**6 + 7*u**2 + 0*u**3 - 9/20*u**5 - 1/70*u**7 + 0 - u. Solve b(d) = 0 for d.
-4, -1, 0
Let m(i) be the second derivative of 2*i**6/45 + 403*i**5/15 + 40400*i**4/9 - 81608*i**3/9 - 53*i. Find g such that m(g) = 0.
-202, 0, 1
Let s be ((-414)/5)/(2/((-20)/(-2))). Let d = 2072/5 + s. Suppose -8/5*j - 6/5 - d*j**2 = 0. Calculate j.
-3, -1
Factor 123/2*w - 1/4*w**2 - 245/4.
-(w - 245)*(w - 1)/4
Let g(t) be the first derivative of 49*t**4/16 - 49*t**3/6 - 93*t**2/8 + 27*t/2 - 2209. What is h in g(h) = 0?
-1, 3/7, 18/7
Let a = 17569 + -17569. Let k(n) be the third derivative of -3/8*n**6 + 0 + 0*n**4 - 35*n**2 + 0*n + 1/6*n**5 + a*n**3. Factor k(y).
-5*y**2*(9*y - 2)
Let t(a) be the third derivative of 3*a**8/560 - 37*a**7/350 + 59*a**6/100 - 3*a**5/25 - 9*a**4/5 + 1211*a**2. Solve t(b) = 0 for b.
-2/3, 0, 1, 6
What is d in 22466 + 2*d**4 - 4416 + 12*d**2 - 32*d**3 - 50*d**3 + 26*d**3 + 5320*d = 0?
-5, 19
Suppose 0 = 458*r - 399*r - 177. Let x(c) be the third derivative of -3/28*c**4 + 2*c**2 + 1/70*c**5 + 5/21*c**r + 0 + 1/420*c**6 + 0*c. Factor x(q).
2*(q - 1)**2*(q + 5)/7
Let x(p) = -10*p**3 - 13*p**2 + 52*p. Let f(u) = -12*u - 6*u**3 - 1507 + 1507 + 47*u - 9*u**2 - u**3. Let s(c) = -7*f(c) + 5*x(c). Factor s(k).
-k*(k - 3)*(k + 5)
Let -355*f**2 + 783 + 672*f**2 + 258*f - 318*f**2 = 0. What is f?
-3, 261
What is h in -104/3*h**2 - 40*h + 128/3 + 122/3*h**3 - 8*h**4 - 2/3*h**5 = 0?
-16, -1, 1, 2
Let n(a) be the third derivative of a**7/1155 - 3*a**6/11 + 8099*a**5/330 + 15*a**4/11 - 2700*a**3/11 - 11112*a**2. Find o, given that n(o) = 0.
-1, 1, 90
Factor u**4 - 4*u + 9*u**3 - 25*u**2 - 4*u**4 - 5*u + 28*u**2.
-3*u*(u - 3)*(u - 1)*(u + 1)
Factor -245 + 217 - 755*g + 475 + 5*g**2 + 303.
5*(g - 150)*(g - 1)
Let 618*n**2 - 4999 - 616*n + 2497 + 2500 = 0. Calculate n.
-1/309, 1
Let k(u) be the second derivative of -3/10*u**5 + 0 - 3*u**2 - 2*u**4 - 29*u - 7/2*u**3 + 1/14*u**7 + 1/5*u**6. Determine v, given that k(v) = 0.
-1, 2
Let n(p) be the first derivative of 9*p**4/16 + 85*p**3/4 + 39*p**2/4 - 42*p - 1608. Factor n(y).
3*(y + 1)*(y + 28)*(3*y - 2)/4
Suppose -211*w + 307 = 438*w - 1640. Factor 3/5*v**4 + 3/5*v**w + 0*v + 0 - 6/5*v**2.
3*v**2*(v - 1)*(v + 2)/5
Let v(u) = 3*u**2 - 63*u + 60. Let b be v(20). Let p(l) be the second derivative of b*l**2 - 6*l + 0 - 1/3*l**4 + 1/10*l**5 - l**3. Factor p(y).
2*y*(y - 3)*(y + 1)
Let w(p) = p**3 - p**2 + p - 4. Let b be w(2). Factor -55*s**3 + 117*s**b - 1476*s + 107*s**3 - 45*s - 55*s**3 + 6591.
-3*(s - 13)**3
Let o(h) be the third derivative of -h**8/224 - h**7/35 + 3*h**6/40 + 4*h**5/5 + 35*h**4/16 + 3*h**3 - 3992*h**2. Determine k so that o(k) = 0.
-4, -1, 3
Let y(l) = 7*l**2 - 5*l - 12. Let q(c) = 15*c**2 - 9*c - 24. Let w(b) = 5*q(b) - 9*y(b). Let a(z) = z**3 + 1. Let k(g) = -4*a(g) + w(g). Factor k(m).
-4*(m - 2)**2*(m + 1)
Suppose -332/7 + 2/7*i**2 + 330/7*i = 0. What is i?
-166, 1
Let g(i) be the first derivative of i**3/6 + 353*i**2/4 - 1699. Find a, given that g(a) = 0.
-353, 0
Let o(w) = -65*w + 717. Let z be o(11). Let i(g) be the first derivative of -8 - 8*g + 4/3*g**3 + z*g**2. Let i(f) = 0. Calculate f.
-2, 1
Let h(b) = -3*b**3 + 4*b + 4 - 7 + 5 - 3*b**2. Let y(m) = -5*m + m**2 + 2*m**3 + 3*m**2 - 3 + 2*m**3. Let d(c) = 6*h(c) + 4*y(c). Solve d(s) = 0.
-2, 0, 1
Let m(v) = v**2 - 59*v - 2206. Let u be m(-26). Let l(c) be the first derivative of c**2 - 11 + 0*c + 1/4*c**u + c**3. Factor l(j).
j*(j + 1)*(j + 2)
Determine z, given that 21*z**5 - 88*z**3 - 1104*z**2 + 768*z + 140*z**3 + 79*z**3 + 194*z**3 - 144 + 359*z**3 - 195*z**4 = 0.
2/7, 2, 3
Factor 133466 + 272*u**2 + 50*u**2 + 1264*u - 132210 + 2*u**3.
2*(u + 2)**2*(u + 157)
Factor -205667*a**2 + 3*a**5 - 42*a**3 + 12*a**4 + 205719*a**2 + 2*a**5 - 21*a - 6*a**5.
-a*(a - 7)*(a - 3)*(a - 1)**2
Let h(c) be the first derivative of -c**4/2 + 254*c**3/3 - 4216*c**2 + 23064*c - 683. Factor h(q).
-2*(q - 62)**2*(q - 3)
Let w(x) be the second derivative of x**7 - 9*x**6/10 + 3*x**5/20 + 24*x - 13. Solve w(s) = 0 for s.
0, 1/7, 1/2
Let k(v) = 41*v**2 - 12*v - 3. Let l be k(4). Let h be (44/l)/((-4)/(-10)). Factor 0*q**4 + 2/11*q**3 + 0*q**2 - h*q**5 + 0*q + 0.
-2*q**3*(q - 1)*(q + 1)/11
Let v be ((0 + 0)/(-3 - -1))/(14/(-7)). Let i(j) be the second derivative of 5/6*j**3 + v*j**2 - 11*j - 1/4*j**5 + 0*j**4 + 0. Factor i(d).
-5*d*(d - 1)*(d + 1)
Let o(u) be the first derivative of -29/9*u**3 - 55/6*u**2 + 74 - 1/12*u**4 - 9*u. Let o(p) = 0. Calculate p.
-27, -1
Suppose 0 = -8*q - 4*q - 4320