*7. Find o, given that k(o) = 0.
-3, -1, 2
Let k(j) = -j**2 - 21*j + 1963. Let f be k(-56). Determine q so that -6/5*q**f + 2/5*q**4 + 4/5*q**2 + 0 + 0*q = 0.
0, 1, 2
Let h = -248393 - -248398. Suppose -8/7*v**4 + 24/7 - 1/7*v**h - 2*v**2 - 3*v**3 + 20/7*v = 0. Calculate v.
-3, -2, 1
Let q = 72208 - 794276/11. Suppose q*v**3 - 12/11*v - 2/11*v**2 + 2/11 = 0. Calculate v.
-1, 1/6, 1
Suppose -6*k - 28*k = -272. Suppose 3*l + 18 + 9*l**2 - 82*l - 27*l**4 - 22*l**3 + 109*l**3 - k*l = 0. Calculate l.
-1, 2/9, 1, 3
Let c(q) = q**2 + 12*q + 39. Let f be c(-11). Factor -96*m + 4*m**2 - 8*m**2 + m**2 - 72 + 7*m**2 - f.
4*(m - 25)*(m + 1)
Let c(s) be the third derivative of s**7/420 + s**6/120 - 7*s**5/120 + s**4/12 - s**2 - 1216. Factor c(h).
h*(h - 1)**2*(h + 4)/2
Let u be 6*(8/6)/((-33 - -18) + 21). Factor u*h**2 + 56/3*h + 0.
4*h*(h + 14)/3
Determine f, given that -88/5*f**3 - 1/5*f**4 - 422/5*f - 341/5*f**2 - 168/5 = 0.
-84, -2, -1
Let z be 3*-1 - 13/(65/(-25)). Let a be 98/42*(-12)/(-84). Factor -6*p**3 - 20/3*p**z - 7/3*p**4 - a*p**5 + 0 - 8/3*p.
-p*(p + 1)*(p + 2)**3/3
Factor -11*j**2 - 48*j - 14*j**3 - 33*j**2 + 14*j + j**4 + 15*j**2 - 20*j**2.
j*(j - 17)*(j + 1)*(j + 2)
Let w(u) = -8125*u - 108. Let f be w(4). Let b = -227708/7 - f. Solve -144/7*s + 96*s**4 + b*s**3 - 104/7*s**2 + 28*s**5 + 32/7 = 0 for s.
-2, -1, 2/7
Suppose 232*s - 134 = 82*s + 166. Let q(o) be the second derivative of 0 + 45*o**s + 1/8*o**5 - 55/24*o**4 + 10*o**3 - 49*o. Factor q(d).
5*(d - 6)**2*(d + 1)/2
Let l = -1/46952 + 23477/46952. Let q = 131/2 - 64. Factor 0*f**4 + l*f**5 + q*f - 2*f**3 + 1 - f**2.
(f - 2)*(f - 1)*(f + 1)**3/2
Let u(f) be the third derivative of 0*f + 4*f**3 + 59*f**2 - 7/4*f**4 + 7/20*f**5 + 0 - 1/40*f**6. Factor u(o).
-3*(o - 4)*(o - 2)*(o - 1)
Let y be 89472/37280 - (-18)/(-20). Find u, given that -4*u**4 - 23/2*u**3 + 23/2*u - y + 11/2*u**2 = 0.
-3, -1, 1/8, 1
Suppose -232 = 144*l - 152*l. Let b(t) = -t**2 + 23*t + 176. Let k be b(l). Factor -4/3 + 3*s + 1/3*s**3 - 2*s**k.
(s - 4)*(s - 1)**2/3
Let u be -34 - -18 - -23 - (-14)/(-2). Let r(l) be the first derivative of 0*l - 1/6*l**6 + 0*l**4 - 25 + u*l**3 + 0*l**2 + 2/5*l**5. Factor r(i).
-i**4*(i - 2)
Let v(s) = s**3 + 372*s**2 + 5020*s + 115. Let w be v(-14). Factor -3/5*i**w + 0*i - 63/5*i**2 + 0.
-3*i**2*(i + 21)/5
Factor 4*k**5 - 598*k**2 - 576*k**2 - 264*k**3 - 260*k**4 + 1174*k**2.
4*k**3*(k - 66)*(k + 1)
Let -k**2 + 2*k + 48/7 - 1/7*k**3 = 0. What is k?
-8, -2, 3
Let l be ((-2)/6)/(2/(-11) + (-25 - 1981110/(-78705))). Determine m, given that 72/5 + l*m + 15*m**2 - 12/5*m**3 = 0.
-1, -3/4, 8
Let k(j) be the third derivative of 107*j**7/1995 + 16*j**6/57 - j**5/190 - 14*j**2 + 182*j. Factor k(z).
2*z**2*(z + 3)*(107*z - 1)/19
Let i be 22/36 - ((-17)/(-34) + 0/(-1)). Let k(f) be the first derivative of 9 - i*f**4 - 16/27*f**3 + 0*f - 8/9*f**2. Factor k(z).
-4*z*(z + 2)**2/9
Let u(n) be the first derivative of -n**3 + 651*n**2 + 2616*n + 1195. What is k in u(k) = 0?
-2, 436
Let w(u) = -36*u**2 - 1588*u. Let f(t) = -7*t**2 - 316*t. Let c(x) = 16*f(x) - 3*w(x). Find r, given that c(r) = 0.
-73, 0
Suppose 7384 = -0*t + 26*t. Let a be (3/(-15))/(-10 - t/(-30)). Factor -1/4*b**2 - 1/2*b**3 + 1/8*b**5 + 0 + 1/4*b**4 + a*b.
b*(b - 1)**2*(b + 1)*(b + 3)/8
Let q(c) be the second derivative of -c**4/6 - 647*c**3/9 - 430*c**2/3 - 1830*c. Find t, given that q(t) = 0.
-215, -2/3
Let c(v) be the third derivative of v**7/20160 - v**6/576 + 5*v**5/192 + v**4/24 - 17*v**3/3 + 166*v**2. Let p(d) be the second derivative of c(d). Factor p(g).
(g - 5)**2/8
Let k(j) be the second derivative of -4/21*j**4 + 1/70*j**5 - 6/7*j**2 + 13/21*j**3 + 4*j - 3. Factor k(g).
2*(g - 6)*(g - 1)**2/7
Let l(f) be the first derivative of -f**4/26 + 656*f**3/39 + f**2/13 - 656*f/13 - 2667. Find y such that l(y) = 0.
-1, 1, 328
Let f(y) = 10*y**3 - 52*y**2 + 62*y - 128. Let a(j) = j**3 + j**2 - 12*j + 1. Let v(l) = -12*a(l) + f(l). Suppose v(s) = 0. Calculate s.
-35, 1, 2
Suppose -7*u + 349 = 251. Let q be (99/(-11))/((-63)/u). Factor q*g + 3/4 + 0*g**3 - 1/4*g**4 + 3/2*g**2.
-(g - 3)*(g + 1)**3/4
Let t = -940/11 + 451211/5280. Let a(u) be the third derivative of 0 + 0*u + 5/96*u**4 + 1/80*u**5 - 47*u**2 - t*u**6 + 1/12*u**3 - 1/840*u**7. Factor a(f).
-(f - 2)*(f + 1)**3/4
Let x(z) be the second derivative of z**10/6048 - z**9/3024 - z**8/672 - z**4/6 + 29*z**2 + 54*z. Let b(w) be the third derivative of x(w). Factor b(g).
5*g**3*(g - 2)*(g + 1)
Suppose -c + 21 = -4*c. Let d be -1 + (-9)/c - (-266)/98. Factor -3*w**3 - 2*w**2 + 10*w**5 - 7*w**5 - 9*w**4 + 0*w**d + 11*w**2.
3*w**2*(w - 3)*(w - 1)*(w + 1)
Solve 320*i**2 + 1445 + i**4 - 40*i**3 - 21*i**2 + 199*i**2 - 1904*i = 0.
1, 5, 17
Let q(p) = -190*p - 1715. Let r(s) = -s**2 - 189*s - 1684. Let y(k) = 4*q(k) - 5*r(k). Find c, given that y(c) = 0.
-24, -13
Let w(q) = -3*q**3 + 3*q**2 + 2*q + 48. Let p be w(-7). Factor -15 - p - 110*c - c**2 + 40*c.
-(c + 35)**2
Suppose 1206/5 + 1202/5*w**2 - 2/5*w**3 + 482*w = 0. Calculate w.
-1, 603
Let g(k) be the first derivative of -152 - 4/5*k**5 + 188*k**4 + 830584*k**2 - 17672*k**3 - 19518724*k. Suppose g(m) = 0. Calculate m.
47
Factor -280*y**2 - 4*y**3 - 41185 + 41185.
-4*y**2*(y + 70)
Factor w**2 - 8*w**3 - 1/3*w**4 - 16 + 70/3*w.
-(w - 1)**2*(w + 2)*(w + 24)/3
Suppose 6*s - 3*i = 7*s - 14, 0 = -3*s + 3*i - 6. Factor -3*c**4 - 26*c**3 - 160*c**s + 2*c**4 - 3*c**4 + 60*c**3 + 128*c + 2*c**4.
-2*c*(c - 8)**2*(c - 1)
Find c, given that -48/7 - 15/7*c**3 + 0*c**2 + 60/7*c + 3/7*c**4 = 0.
-2, 1, 2, 4
Let w(b) be the third derivative of -b**6/600 - 21*b**5/100 - 41*b**4/40 - 61*b**3/30 + 82*b**2 + 2*b. Factor w(k).
-(k + 1)**2*(k + 61)/5
Let d be 36*(4 + (-11)/3). Let r be d - 15 - 98/(-2). Factor -7*o**2 - 28*o**2 + 14*o**3 + 5*o + r*o**3.
5*o*(3*o - 1)*(4*o - 1)
Factor -8450649/5*p - 2729559627/5 - 3/5*p**3 - 8721/5*p**2.
-3*(p + 969)**3/5
Let z be (-1)/9 - 176/(-126) - 0. Let t = 417/140 - 51/20. Find s, given that t*s**4 + 18/7 - 9/7*s**2 + 3*s - z*s**3 = 0.
-1, 2, 3
Let n(b) be the first derivative of b**7/2940 + b**6/84 + 13*b**5/210 - 197*b**3/3 - 186. Let s(q) be the third derivative of n(q). Find p such that s(p) = 0.
-13, -2, 0
Factor 8 - 2*q**2 - 10*q + 7 + 2*q - 12*q + 7.
-2*(q - 1)*(q + 11)
Let d(o) be the first derivative of -2*o**6/3 - 4*o**5 + o**4 + 68*o**3/3 - 24*o**2 - 3328. Let d(y) = 0. What is y?
-4, -3, 0, 1
Let f(c) = 4*c**2 + 23*c. Let r be f(-6). Suppose r*z + 38 = 8*z. Factor 5*a**2 - 33*a - 28*a - z*a + 320.
5*(a - 8)**2
Suppose 0 = 10*c + 33*c - 4*c. Suppose -105*a + 422 - 107 = c. What is y in 0 - 4/5*y + 8/5*y**2 - 4/5*y**a = 0?
0, 1
Factor -2/5*n**2 - 264/5 - 266/5*n.
-2*(n + 1)*(n + 132)/5
Suppose -65*s = -73*s + 48. Let z(a) be the first derivative of s + a**2 - 5/2*a**4 + 1/3*a**3 + 0*a. What is h in z(h) = 0?
-2/5, 0, 1/2
Suppose 20*w - 42 = 23*w - 24*w. Let r(y) be the second derivative of -9/2*y**w + 0 - 1/8*y**4 - 20*y + 7/4*y**3. Factor r(b).
-3*(b - 6)*(b - 1)/2
Factor 17*k**4 - 12*k**4 - 1513771*k - 745*k**3 + 1470*k**2 + 1513771*k.
5*k**2*(k - 147)*(k - 2)
Solve -44/7 + 24/7*u - 1/7*u**2 = 0.
2, 22
Let k be (7 - -8) + 25137/(-1680). Let f(z) be the second derivative of -k*z**5 + 7/8*z**3 + 0 + 1/8*z**4 + 3/2*z**2 + 34*z. Factor f(o).
-3*(o - 4)*(o + 1)**2/4
Let r(h) be the first derivative of -5*h**4/4 + 20*h**3/3 - 25*h**2/2 + 10*h + 663. Factor r(p).
-5*(p - 2)*(p - 1)**2
Let q(d) = 5*d**2 - 36*d - 16. Let f be q(8). Factor 55 - 3 - 120*g - 21*g**2 - f.
-3*(g + 6)*(7*g - 2)
What is q in 103/5*q + 1/5*q**2 - 104/5 = 0?
-104, 1
Let s = -638411/3 - -212804. Find a such that -s - 3*a**4 + 10/3*a**2 - 2/3*a**3 - a + 5/3*a**5 = 0.
-1, -1/5, 1
Let w(i) = 5*i**4 + 672*i**3 + 266*i**2 + 2*i. Let b(y) = -25*y**4 - 3360*y**3 - 1329*y**2 - 11*y. Let o(l) = 4*b(l) + 22*w(l). Suppose o(j) = 0. What is j?
-134, -2/5, 0
Let x = 45115 - 45112. Factor -2 - 7/6*z**2 - 1/6*z**x - 8/3*z.
-(z + 2)**2*(z + 3)/6
Let w(q) be the third derivative of 1/27*q**4 + 0 + 10/27*q**3 - 1/540*q**5 + 186*q**2 + 0*q. Find j such that w(j) = 0.
-2, 10
Let b(s) = -s**3 + 24*s**2 - 13*s - 45. Let i be b(23). Factor 5*z**2 - 185 - 20*z + i.
5*z*(z - 4)
Let v(z) be the third derivative of -z**8/112 - 139*z**7/70 - 3629*z**6/20 - 86931*