ve of -49*v**5/2 + 25375*v**4/8 - 7220*v**3/3 + 515*v**2 - 3152. Find w, given that n(w) = 0.
0, 2/7, 103
Suppose -67 = 2*u - 2*c + c, 3*u + 2*c + 97 = 0. Let a = -30 - u. Solve -a*m - 7*m - 3*m - 4*m**3 + 16*m**2 - 3*m = 0 for m.
0, 2
Determine m, given that -2/17*m**3 - 726/17*m + 362/17 + 366/17*m**2 = 0.
1, 181
Let q(d) be the second derivative of -d**6/60 + 3*d**5/20 - 3*d**4/8 - d**3/3 + 3*d**2 + 712*d + 2. Factor q(s).
-(s - 3)*(s - 2)**2*(s + 1)/2
Suppose 0 = -6*d + 334 + 326. Solve -19*n**4 + 31*n - 185*n**2 + 74*n**4 + d*n**2 + 20 + 69*n - 100*n**3 = 0.
-1, -2/11, 1, 2
Let z be 10 + -17 + 2 + 1*33. Let g be 4/14 + 8/z. Factor 12/7*c + 0 + g*c**2.
4*c*(c + 3)/7
Let g(c) be the second derivative of 3*c**6/20 - 519*c**5/20 + 343*c**4/6 - 38*c**3 - 597*c. Factor g(i).
i*(i - 114)*(3*i - 2)**2/2
Let j(o) be the second derivative of -70/3*o**3 + 116*o + 1/4*o**5 + 5*o**4 + 0*o**2 + 0. Factor j(y).
5*y*(y - 2)*(y + 14)
Let x(o) be the first derivative of 15*o**6/2 + 384*o**5 + 15665*o**4/4 + 3270*o**3 + 800*o**2 - 4534. Solve x(t) = 0 for t.
-32, -10, -1/3, 0
Suppose 3/7*s**5 - 12/7*s**4 + 0 - 36/7*s + 48/7*s**2 - 3/7*s**3 = 0. What is s?
-2, 0, 1, 2, 3
Let z(b) = 6*b**2 + 1183*b + 40545. Let u be z(-153). Solve u + 4*r + 38/3*r**2 + 64/9*r**3 + 10/9*r**4 = 0.
-3, -2/5, 0
Let a(x) = -45*x**2 + 145*x - 694. Let l(w) = 7*w**2 - 24*w + 116. Let p(o) = 6*a(o) + 39*l(o). Factor p(i).
3*(i - 12)*(i - 10)
Let h = 48016 - 288011/6. Factor 175/6*l + h + 5/3*l**2.
5*(l + 17)*(2*l + 1)/6
Let d(h) be the second derivative of 0*h**2 + h - 59 + 1/5*h**5 + 8*h**3 + 13/3*h**4. Factor d(m).
4*m*(m + 1)*(m + 12)
Let d = 337 - 335. Let b(w) = -30*w**2 - 42*w + 18. Let v(h) = 7*h**2 + 10*h - 4. Let n(i) = d*b(i) + 9*v(i). Factor n(g).
3*g*(g + 2)
Solve 3/8*h**2 - 279/8*h + 255 = 0.
8, 85
Let l(u) = -u**3 + 4*u**2 - 8*u + 11. Let x be l(2). Let a be 6/(-2 + 3) - x. Factor -4/3*w**4 + 4/3*w**2 - 8/3*w**a + 0 + 8/3*w.
-4*w*(w - 1)*(w + 1)*(w + 2)/3
Factor -1257*w**2 - 676 - 64*w**4 + 1380*w + 464*w**3 - 1140*w + 320*w + 948*w.
-(w - 2)**2*(8*w - 13)**2
Let f(g) be the second derivative of 0*g**3 + 0*g**2 + 0 + 1/30*g**6 - 27*g + 3/10*g**5 + 2/3*g**4. Factor f(j).
j**2*(j + 2)*(j + 4)
Suppose -89*j**4 - 2827*j**3 + 113*j**2 - 148*j**2 - 4*j**5 - 189*j**2 + 25 + 3093*j**3 + 26*j = 0. Calculate j.
-25, -1/4, 1
Let x(o) be the third derivative of o**5/20 + 193*o**4/8 + 96*o**3 - 1328*o**2 - 2*o. Let x(l) = 0. What is l?
-192, -1
Let n(y) be the second derivative of y**6/30 + 91*y**5/2 + 68399*y**4/4 - 415870*y**3/3 + 417698*y**2 - 117*y - 7. Find v, given that n(v) = 0.
-457, 2
Let q(b) = -110*b**4 - 122*b**3 - 39*b**2 - 9*b - 9. Let v(m) = -55*m**4 - 59*m**3 - 18*m**2 - 4*m - 4. Let n(a) = 4*q(a) - 9*v(a). Let n(i) = 0. What is i?
-3/5, -2/11, 0
Let f(b) be the third derivative of -b**6/36 - 3*b**5/8 + 25*b**4/24 + 5*b**3 + b**2 - 15*b. Let w(j) be the first derivative of f(j). Factor w(r).
-5*(r + 5)*(2*r - 1)
Let m(f) = -2*f**2 + 2*f + 6. Let t be m(-4). Let s = 41 + t. Find h, given that -3*h + h**2 + s*h**3 - 4*h**3 + 2*h**2 + 15 - 18 = 0.
-1, 1
Suppose 11*a - 4 = 29. Let 7*p**a - 30*p**3 - 1278*p**4 + 10*p**2 + 16*p + 1275*p**4 = 0. Calculate p.
-8, -2/3, 0, 1
Let m(u) = 11*u**3 - 9*u**2 - u + 2. Let d be m(1). What is z in -96*z**2 + 26*z**d + 222*z + 5*z**3 - 2*z**5 - 76*z**2 + 8*z**3 + 6*z**4 - 3*z**3 - 90 = 0?
-5, 1, 3
Let s(v) = -17*v**2 - 2792*v - 5. Let p(o) = -38*o**2 - 5582*o - 11. Let a(d) = 5*p(d) - 11*s(d). Solve a(f) = 0.
0, 934
Let b be (35 + 4)*(0 + 1588/(-84)). Let h = -735 - b. Factor 0*a + 2/7*a**5 + 12/7*a**4 + 0 + 24/7*a**3 + h*a**2.
2*a**2*(a + 2)**3/7
Let v be -2 - (-2 - 6*-1). Let b(q) = 3*q + 22. Let s be b(v). Factor 24*u**3 + 83*u - 12*u**2 - 83*u - 15*u**s + 3*u**5.
3*u**2*(u - 2)**2*(u - 1)
Let p(a) be the second derivative of a**6/900 - a**4/60 - 61*a**3/6 - 3*a. Let r(x) be the second derivative of p(x). Factor r(n).
2*(n - 1)*(n + 1)/5
Let d(h) be the second derivative of -h**4/6 - 5*h**3 - 50*h**2 + 602*h. Factor d(a).
-2*(a + 5)*(a + 10)
Factor -4072/5*v - 2072648/5 - 2/5*v**2.
-2*(v + 1018)**2/5
Let n(c) be the third derivative of -c**5/240 + 125*c**4/24 - 15625*c**3/6 - 63*c**2 + 3. Determine k so that n(k) = 0.
250
Let l(o) be the first derivative of -o**3/5 - 39*o**2 + 792*o/5 - 2916. Factor l(k).
-3*(k - 2)*(k + 132)/5
Let 15/2*d**3 - 253/4*d**4 + 0*d + 0 + 0*d**2 - 17/4*d**5 = 0. What is d?
-15, 0, 2/17
Factor -1644*q**3 - 13974*q - 1734 - 24*q**4 - 57123/2*q**2.
-3*(q + 34)**2*(4*q + 1)**2/2
Let j(u) be the first derivative of 2*u**6/21 + 4*u**5 + 70*u**4 + 1960*u**3/3 + 3430*u**2 + 9604*u - 124. Determine g so that j(g) = 0.
-7
Let c = -190 - -194. Factor -56*h**c + 0*h**2 + 2 + 57*h**4 + 7*h**2 + 7*h + 5*h**3 + 2*h**2.
(h + 1)**3*(h + 2)
Let h(f) be the first derivative of 4*f**3/3 + 1306*f**2 + 2608*f + 4434. Factor h(g).
4*(g + 1)*(g + 652)
Let v(n) be the second derivative of -n**6/225 - 23*n**5/150 + 13*n**4/45 + 16*n**3/15 + 26*n + 10. Find j, given that v(j) = 0.
-24, -1, 0, 2
Solve -648 + 3/2*p**2 + 72*p - 1/4*p**3 = 0 for p.
-18, 12
Let o(n) = 46*n**2 + 1474*n - 1451. Let d be o(-33). Factor 17/2*j + 8*j**3 + d + 20*j**2.
(j + 2)*(4*j + 1)**2/2
Let b be 26/(-78) - -3*(-334)/9. Let p = b - -112. Factor -p*c**4 - 1/3*c - 2/3 + c**2 + 1/3*c**3.
-(c - 2)*(c - 1)*(c + 1)**2/3
Let y(z) be the second derivative of -z**5/25 + 28*z**4/15 - 392*z**3/15 - 5*z + 112. Factor y(l).
-4*l*(l - 14)**2/5
Let k(p) be the third derivative of -p**8/144 + 97*p**7/210 - 77*p**6/40 - 39*p**5/20 - 7*p**2 - p - 203. Let k(r) = 0. What is r?
-3/7, 0, 3, 39
Let g(i) be the second derivative of 46*i + 0 + 4/9*i**3 + 5/3*i**2 - 1/18*i**4. Determine a, given that g(a) = 0.
-1, 5
Let o(h) be the second derivative of h**4/21 + 24*h**3/7 + 646*h**2/7 + 2378*h. Find c, given that o(c) = 0.
-19, -17
Suppose 64*x - 65*x = -3. Factor 897 + 1161 + 16*d**3 - x*d**4 - 315*d**2 + 147*d + 41*d**3.
-3*(d - 7)**3*(d + 2)
Let z be ((-6)/1)/((-8)/12). Factor z + 27*j**2 - 58*j**2 + 8*j - 2 + 32*j**2.
(j + 1)*(j + 7)
Let d(k) = -30*k + 2. Let i be d(-1). Suppose 4*t - 12 = i. Factor 4 - 8*o + t*o + 9*o + 6*o**3 + 13*o**2 + o**4.
(o + 1)**2*(o + 2)**2
Factor 91/8*r + 0 + 1/8*r**3 - 5/2*r**2.
r*(r - 13)*(r - 7)/8
Let i(p) be the third derivative of -16/3*p**3 - 2/3*p**5 + 52*p**2 + 0*p - 17/6*p**4 - 1/30*p**6 + 0. Suppose i(n) = 0. What is n?
-8, -1
Suppose i - 5*l + 52 = 0, -76 = 2*i - l - 17. Let h(g) = g**2 + 22*g - 135. Let m be h(i). Determine b so that -4/9*b**2 - 8/3*b + m = 0.
-6, 0
Let t = -14316 + 171797/12. Let n(p) be the third derivative of 17*p**2 - 25/96*p**4 + 0 - 1/16*p**5 + 0*p + t*p**3. Solve n(s) = 0.
-2, 1/3
Let y be ((-195)/25)/13 + 2/70*41. Let m = 0 + 2. Factor -2/7*c**m - 2/7 + y*c.
-2*(c - 1)**2/7
Let u(p) be the second derivative of -1/7*p**2 - 26/7*p**3 - 507/14*p**4 + 14 - 2*p. What is j in u(j) = 0?
-1/39
Let h(y) be the third derivative of 0 - 23/42*y**4 + 529/21*y**3 + 1/210*y**5 - 9*y**2 + 0*y. Factor h(u).
2*(u - 23)**2/7
Let k be (5/(-45))/(9990/(-972) - -10). Solve -24/5*h**3 - 2/5*h**2 + 24/5*h + 0 + k*h**4 = 0 for h.
-1, 0, 1, 12
Let i(z) = 106*z**2 - 61*z**2 - 144 - 51*z**2 + 147*z. Let l(a) = -a**2 + 2*a - 2. Let c(p) = -i(p) + 3*l(p). Factor c(r).
3*(r - 46)*(r - 1)
Let z(l) = -12*l + 15. Let o(c) = 7*c + 57. Let i be o(-8). Let f be z(i). Find k such that -1/2*k - 1/3*k**2 + 2/3*k**f + 0*k**4 - 1/6*k**5 + 1/3 = 0.
-2, -1, 1
Let w(a) be the first derivative of 4*a**5/5 - 8*a**4 - 68*a**3/3 + 408*a**2 - 720*a + 461. Solve w(d) = 0 for d.
-5, 1, 6
Suppose -3*i - 34 - 89 = 0. Let j = 49 + i. Factor -12*x**4 + j*x**3 + 5*x**4 - 6 + 5*x**4 + 4*x**4 + 4*x**2 - 8*x.
2*(x - 1)*(x + 1)**2*(x + 3)
Suppose 2*l + 2 = -714*s + 712*s, 7 = -l - 3*s. Suppose 27/5*y**l - 6/5*y**3 - 3/5*y**4 + 6/5*y - 24/5 = 0. What is y?
-4, -1, 1, 2
Let k(u) = u**3 - 42*u**2 - 543*u - 2319. Let a(x) = 2*x**3 - x**2 + x - 15. Let o(p) = -3*a(p) + 3*k(p). Determine t, given that o(t) = 0.
-16, -9
Let v(h) = h**2 + 741*h - 9036. Let j be v(12). Factor -4/9*c**3 + j*c + 0 + 20/9*c**2.
-4*c**2*(c - 5)/9
Factor -1/4 + 731/8*d + 735/8*d**3 + 367/2*d**2.
(d + 1)**2*(735*d - 2)/8
Let v(x) be the third derivative of 0*x + 1/448*x**8 - 1/32*x**6 + 3/80*x**5 +