3 + 0*v**5 + 5*v - 2/21*v**4 - 4. Find r, given that t(r) = 0.
-1, 0, 1
Let d(n) = -2586*n + 10344. Let m be d(4). Let m + 1/4*y**4 + 9/4*y**3 + 4*y + 6*y**2 = 0. What is y?
-4, -1, 0
Let f(v) be the second derivative of -v**5/180 - 11*v**4/54 + 23*v**3/54 + 235*v. Find b, given that f(b) = 0.
-23, 0, 1
Let a = -9079/90 + 908/9. Let q(d) be the second derivative of d + 0*d**3 + 0 + 0*d**5 + 0*d**2 + 1/36*d**4 - a*d**6. Factor q(w).
-w**2*(w - 1)*(w + 1)/3
Let w = -1277754 - -1277756. Let 92*j - 4232 - 1/2*j**w = 0. What is j?
92
Let r(o) = -92*o**2 + 11*o - 36. Let n be r(4). Let w = 4408/3 + n. Factor 0*h + 0 - 4/3*h**3 - 2/3*h**4 + w*h**2.
-2*h**2*(h - 2)*(h + 4)/3
Factor -7/5*f**3 - 1/5*f**4 + 13/5*f**2 + 1/5*f**5 + 0 - 6/5*f.
f*(f - 2)*(f - 1)**2*(f + 3)/5
Factor -1433834750/9 - 1790/3*n**2 - 2/9*n**3 - 1602050/3*n.
-2*(n + 895)**3/9
Let q be 15/27*2295/(-170) - (-7 - 1). Determine k so that -q*k + 0 - 1/4*k**4 - k**3 - 5/4*k**2 = 0.
-2, -1, 0
Factor -2/5*f**2 + 0 + 102*f.
-2*f*(f - 255)/5
Let d = 71 - 71. Suppose d = 2*o - 5 - 1. What is m in -12*m + 29*m**o + 3*m**5 + 16*m**2 - 20*m**3 - m**2 - 15*m**4 = 0?
-1, 0, 1, 4
Suppose -3 + 3/4*p**3 + 1/4*p**5 - p + 19/4*p**2 - 7/4*p**4 = 0. Calculate p.
-1, 1, 2, 6
Let r(w) be the first derivative of -2*w**6/3 + 23*w**5/5 - 7*w**4/2 - 5*w**3/3 + 507. Find l, given that r(l) = 0.
-1/4, 0, 1, 5
Let c(d) be the second derivative of d**6/105 + 27*d**5/35 + 169*d**4/42 - 720*d**3 + 11200*d**2 - 10362*d. Factor c(q).
2*(q - 8)**2*(q + 35)**2/7
Let f = 222 + -219. Let 63/5*p**2 + 18/5 - 12/5*p**f - 87/5*p = 0. Calculate p.
1/4, 2, 3
Let r(x) = -74. Let q(c) = -20*c**2 - 12*c - 412. Let o(s) = -q(s) + 6*r(s). Factor o(z).
4*(z - 1)*(5*z + 8)
Let b(n) = -3*n**2 - 165*n + 537. Let d(r) = -r - 2. Let j(y) = -b(y) - 3*d(y). Determine g, given that j(g) = 0.
-59, 3
Let t = 305174/7 - 43730. Let x = t + 134. Solve -2/7*z - 6/7*z**2 + 2/7*z**3 + 4/7*z**4 + x = 0 for z.
-1, 1/2, 1
Let c = 3/4426 + -525589/2213. Let p = 238 + c. Factor -p*h**2 + 3/2 + h.
-(h - 3)*(h + 1)/2
Let v(m) be the first derivative of 110/3*m**3 + 12*m**5 + 480*m**2 - 1440*m - 5/6*m**6 + 123 - 225/4*m**4. Let v(o) = 0. Calculate o.
-2, 3, 4
Factor 0 + 27/2*r + 1/8*r**3 - 21/8*r**2.
r*(r - 12)*(r - 9)/8
Let z be (-221)/(-1938) + 2/38. Let u(s) be the first derivative of -3/2*s**2 + 15 - z*s**3 - 5/2*s. Factor u(n).
-(n + 1)*(n + 5)/2
Let s(l) be the first derivative of -l**3/3 + 108*l**2 - 428*l + 6234. Factor s(o).
-(o - 214)*(o - 2)
Let k(v) = 7*v**4 - v**3 + 17*v**2 + 17*v + 8. Let w(h) = 24*h**4 - 3*h**3 + 57*h**2 + 57*h + 27. Let t(d) = -27*k(d) + 8*w(d). What is m in t(m) = 0?
-1, 0, 1
Let r(j) = -122*j + 3181. Let d be r(26). Let 3/2*g**2 - 24 + d*g = 0. Calculate g.
-8, 2
Let n(h) = h**2 - 6*h + 13. Let m be n(3). Suppose 8 = 3*f - m. Let 184*y**3 - 136*y**3 + 9*y + 7*y**4 - 39*y**2 - 19*y**f = 0. Calculate y.
0, 1/2, 3
Determine k so that -288/7 + 90/7*k + 2/7*k**2 = 0.
-48, 3
Let c(k) be the third derivative of 0*k**4 + 2/105*k**6 + 0*k**3 + 0 - 181*k**2 + 3/196*k**8 + 0*k + 0*k**5 + 8/147*k**7. Factor c(p).
4*p**3*(p + 2)*(9*p + 2)/7
Let r(s) = -s**3 - s**2 + 2*s - 1. Let n(f) = 4*f**3 - 25*f**2 - 307*f - 963. Let q(k) = -n(k) - 5*r(k). Find i such that q(i) = 0.
-11, -8
Let r(x) be the third derivative of 0*x - 1/1020*x**6 + 1/51*x**4 - 8/51*x**3 + 0 - 57*x**2 + 1/255*x**5. Determine l, given that r(l) = 0.
-2, 2
Factor 43/3*o - 5/9*o**2 + 18.
-(o - 27)*(5*o + 6)/9
Suppose 4 = 3*f + 4*q - 12, 5*f + 5*q - 25 = 0. Suppose 2*y = -4*m, 2*m = -3*y + f*y - 16. Factor 3*i - 3*i - 5*i**2 + y*i**2.
3*i**2
Let c(v) be the third derivative of 2*v**7/105 - 4*v**6/15 - 2*v**5/3 + 4*v**4/3 + 6*v**3 - 1001*v**2. Let c(g) = 0. Calculate g.
-1, 1, 9
Solve -1042/13*w - 2076/13 - 2/13*w**2 = 0.
-519, -2
Solve -2/13*x**5 + 4/13*x + 2*x**2 - 16/13 - 10/13*x**4 - 2/13*x**3 = 0 for x.
-4, -2, -1, 1
Suppose 0 = t - 1 - 1. Suppose 0 = -140*b + 178*b - 76. Find q such that -13*q**2 + 20*q + 4*q**t + 7*q**2 + 7*q**b + 15 = 0.
-3, -1
Let c(z) = -z**4 - z**2 + z. Let d(x) = -5*x**4 - 2*x**3 - 10*x**2 + 8*x + 3. Suppose 27*o = 30*o - 90. Let s(p) = o*c(p) - 5*d(p). Factor s(a).
-5*(a - 3)*(a - 1)*(a + 1)**2
Let -2074*w**2 + 3104 + 152*w**3 - 2*w**4 + 31*w**3 - 2492*w**2 - 17896 - w**3 + 19178*w = 0. Calculate w.
1, 4, 43
Suppose -3*r - 4*n = 16, 3*r - 178 = -2*n - 186. Let s(i) be the second derivative of 0*i**3 + 0*i**4 - 5*i + r - 1/150*i**5 + 0*i**2. Factor s(z).
-2*z**3/15
Let r(s) = -s**2 - 110*s + 905. Let v(q) = -904 - 21*q + 67*q + 20*q + 46*q. Let x(a) = 4*r(a) + 5*v(a). Factor x(u).
-4*(u - 15)**2
Let a(l) be the first derivative of 5*l**4/14 - 32*l**3/7 + 153*l**2/7 - 324*l/7 + 597. Find n such that a(n) = 0.
3, 18/5
Let g(j) be the first derivative of 17 + 1/12*j**6 + 75/2*j + 5/4*j**2 - 41/3*j**3 + 7/10*j**5 - 3/4*j**4. Let g(q) = 0. What is q?
-5, -1, 1, 3
Let n(f) be the second derivative of -f**6/420 - f**5/210 + f**4/21 + 4*f**3/21 - 15*f**2 + 32*f. Let y(a) be the first derivative of n(a). Factor y(s).
-2*(s - 2)*(s + 1)*(s + 2)/7
Let j(a) = 11*a**3 + 34*a**2 + 12*a - 12. Let h(v) = -9*v**3 - 39*v**2 - 10*v + 10. Let p(n) = 6*h(n) + 5*j(n). Find r such that p(r) = 0.
0, 64
Let j(n) be the first derivative of -21*n**5/5 + 41*n**4/2 - 29*n**3 + n**2 + 24*n + 359. Determine p so that j(p) = 0.
-3/7, 1, 4/3, 2
Let d = 39/28 + -8/7. Let z(y) be the second derivative of d*y**4 + 0 - 1/28*y**7 + 0*y**2 + 0*y**3 - 3/8*y**5 + 1/5*y**6 + 17*y. Factor z(p).
-3*p**2*(p - 2)*(p - 1)**2/2
Let r = 286 - 295. Let t be (2 - (-114)/r)/(266/(-741)). Solve 36/7*s**3 - 72/7 + 276/7*s + t*s**2 = 0 for s.
-3, 2/9
Let j(p) = -20*p**4 - 45*p**3 - 30*p**2 - 5*p + 25. Let q = 25 + -50. Let c(z) = z**4 + z**3 + z. Let l(d) = q*c(d) - j(d). Solve l(h) = 0 for h.
-1, 1, 5
Let r = -379064 + 379066. Factor -2888/17 - 152/17*j - 2/17*j**r.
-2*(j + 38)**2/17
Let z(b) be the third derivative of b**5/80 + 181*b**4/16 - 1095*b**3/8 + 188*b**2 - b. Find i, given that z(i) = 0.
-365, 3
Factor 0*g - 42/5*g**3 + 1/5*g**4 + 441/5*g**2 + 0.
g**2*(g - 21)**2/5
Let p = -4464/13 - -200893/585. Let a(w) be the second derivative of 1/54*w**4 + p*w**5 + 1/270*w**6 + 0 + 4*w - 1/6*w**2 - 2/27*w**3. Factor a(q).
(q - 1)*(q + 1)**2*(q + 3)/9
Let b = -410 - -413. Find z, given that 24*z**3 - 12*z**2 + b*z**2 + 3*z**4 - 6*z**3 - 12*z**2 = 0.
-7, 0, 1
Let q(j) be the third derivative of -1/140*j**5 + 3/28*j**4 + 0 + 47*j**2 + 0*j + 0*j**3. Suppose q(b) = 0. Calculate b.
0, 6
Let w be 7 + -3 + -3 - 38. Let f = 41 + w. Let 8*n**4 + 11*n**f + 20*n - 40*n**2 - 24*n**4 + 25*n**3 = 0. What is n?
0, 1, 2
Let r(u) = -u**4 - 391*u**3 + 1679*u**2 + 1151*u - 7550. Let v(c) = -390*c**3 + 1680*c**2 + 1150*c - 7570. Let z(n) = -5*r(n) + 4*v(n). Factor z(l).
5*(l - 3)**2*(l + 2)*(l + 83)
Let t(f) be the third derivative of f**7/2940 - f**6/840 - 107*f**4/24 + 48*f**2. Let n(p) be the second derivative of t(p). Suppose n(z) = 0. What is z?
0, 1
Let q(o) = 1226*o + 18392. Let x be q(-15). Determine r, given that -2/15*r**3 + 0 + 4/15*r + 2/15*r**x = 0.
-1, 0, 2
Factor 9545 + 4*m**4 + 2808*m**3 - 16944*m**2 + 11930*m - 32201 + 14111*m + 7911*m.
4*(m - 2)**3*(m + 708)
Let g = -97277/3 - -32426. Find v such that -g*v + 4/3*v**2 + 0 = 0.
0, 1/4
Let a(d) be the second derivative of d**4/18 - 16*d**3/9 + 13*d**2 + 531*d. Factor a(f).
2*(f - 13)*(f - 3)/3
Let t(s) be the third derivative of s**6/180 - 46*s**5/45 - 187*s**4/36 - 94*s**3/9 - 31*s**2 + 11. Factor t(b).
2*(b - 94)*(b + 1)**2/3
Let p(r) be the third derivative of 5*r**7/42 - 91*r**6/96 + 9*r**5/10 + 5*r**4/24 - 2*r**3/3 + 573*r**2 - 1. Find t, given that p(t) = 0.
-1/4, 2/5, 4
Suppose 7*m - 197 + 64 = 0. Let u(b) be the third derivative of 0 - m*b**2 - 2*b**3 - 1/20*b**5 - 5/8*b**4 + 0*b. Suppose u(n) = 0. What is n?
-4, -1
Let d be ((-3)/6)/(-17 - -3 - (-22 - -9)). Determine y so that 3/2*y + 5 - d*y**2 = 0.
-2, 5
What is h in -252 - 108/7*h**3 + 198*h + 2/7*h**5 - 12/7*h**4 + 496/7*h**2 = 0?
-6, -3, 1, 7
Determine h, given that 6*h**5 + 3*h**5 - 2069*h**2 - 3*h**4 + 2241*h**2 + 90 + 5*h**4 - 198*h**3 + 453*h = 0.
-5, -1, -2/9, 3
Suppose 31 + 3505*f**2 + 32 + 12 - 115 + 10 + 6995*f = 0. Calculate f.
-2, 3/701
Let g = -185583 - -371175/2. Factor -3/2