 6. Let m(j) = 3*b(j) + y(j). Determine c so that m(c) = 0.
-2, 0, 1
Suppose 3*t - 12 = 2*y, -1 = -y + 4*t - 7. Let c be (11 - 20)*8/y. Factor -c*w**3 + 123*w**4 - 4*w**5 + 0*w + 4*w**2 + 0*w - 111*w**4.
-4*w**2*(w - 1)**3
Find g, given that 14/13*g**2 + 2/13*g**3 - 100/13*g - 672/13 = 0.
-8, -6, 7
Let m(s) be the second derivative of s**4/15 + 224*s**3/5 + 1998*s**2/5 + 381*s - 4. Factor m(q).
4*(q + 3)*(q + 333)/5
Let a(n) = 89*n + 5699. Let m be a(-64). Solve -7/3*w**2 + 3*w**3 + 5/3 - m*w + 2/3*w**4 = 0 for w.
-5, -1, 1/2, 1
Let u(h) be the first derivative of -h**6/60 - h**5/10 + h**4/3 + 11*h**2/2 + h + 46. Let s(l) be the second derivative of u(l). Determine d so that s(d) = 0.
-4, 0, 1
Let -1/6*h**5 - 62/3*h**3 - 55/3 - 307/6*h - 10/3*h**4 - 151/3*h**2 = 0. What is h?
-11, -5, -2, -1
Determine t so that -290*t - 16*t**3 + 28*t - 140*t**2 - 128*t**2 - 290*t + 20*t**3 = 0.
-2, 0, 69
Let s be ((-13 - 2) + 15)/(-3). Let d(l) be the second derivative of 1/4*l**5 + 0 + 25/12*l**4 - 9*l + s*l**2 + 5*l**3. What is t in d(t) = 0?
-3, -2, 0
Let s(r) be the third derivative of r**6/600 + r**5/50 + 11*r**4/120 + r**3/5 - r**2 + 692. Factor s(u).
(u + 1)*(u + 2)*(u + 3)/5
Let i(f) be the first derivative of 1/3*f**6 + 32/3*f**3 + 0*f + 0*f**2 - 18/5*f**5 + 125 + 3*f**4. Factor i(l).
2*l**2*(l - 8)*(l - 2)*(l + 1)
Solve -728*w - 3551*w**2 + 1184*w**2 + 1191*w**2 + 1172*w**2 - 1440 = 0 for w.
-180, -2
Let j be (0 - 15/(-6))/((-5)/(-8)). Let x(n) be the second derivative of 2/3*n**3 - 14*n - 2*n**2 + 0 - 1/12*n**j. Let x(y) = 0. Calculate y.
2
Let l = -132398 - -132401. Factor -2/3*q**4 + 0*q + 2/3*q**l + 0 + 0*q**2.
-2*q**3*(q - 1)/3
Let o(z) be the third derivative of 0*z + 2/21*z**4 - 1/70*z**6 + 1/147*z**7 - 1/1176*z**8 + 0 + 0*z**3 - 2/105*z**5 - 4*z**2. Factor o(q).
-2*q*(q - 2)**3*(q + 1)/7
Factor -17/6*i**2 - 1/2 - 10/3*i.
-(i + 1)*(17*i + 3)/6
Factor 320/17 - 2/17*m**2 - 24/17*m.
-2*(m - 8)*(m + 20)/17
Factor -15099*j**3 + 153*j**2 + 19*j**2 + 15203*j**3 - 26*j**4 + 40*j - 2*j**4.
-4*j*(j - 5)*(j + 1)*(7*j + 2)
Let o(s) be the second derivative of s**5/140 + 41*s**4/21 - s**3/42 - 82*s**2/7 + 8103*s. Factor o(r).
(r - 1)*(r + 1)*(r + 164)/7
Find x such that 1124681*x**3 - 420*x**2 + 334*x**4 + 35*x**5 + 341*x**4 - 1125961*x**3 = 0.
-21, -2/7, 0, 2
Suppose -2*t - g + 253 = -661, 5*t - 5*g - 2285 = 0. Factor m**4 + t*m - 222*m - 235*m + m**3.
m**3*(m + 1)
Let u(h) = h**2 - 5*h**2 - h**2 - 24*h + 27. Let g(l) = l**2 + 6*l + 0*l**2 + 79 - 86. Let t(a) = 9*g(a) + 2*u(a). Factor t(r).
-(r - 3)**2
Let a(i) be the second derivative of -1/9*i**4 + 16/9*i**3 - 156*i - 10*i**2 + 0. Suppose a(f) = 0. Calculate f.
3, 5
Solve 980/3*r**3 + 0 + 16/3*r**4 - 248/3*r - 748/3*r**2 = 0 for r.
-62, -1/4, 0, 1
Determine z, given that 197192/15 - 1256/15*z + 2/15*z**2 = 0.
314
Let v = -8453257/15 + 563551. Factor -8/5 + 22/3*p - 58/15*p**2 + v*p**3.
2*(p - 4)*(p - 3)*(4*p - 1)/15
Suppose -3 + 12 = 9*b. Let b + 98*g**4 + 12*g + 3 - 101*g**4 - 9*g**2 + 8 - 12*g**3 = 0. Calculate g.
-2, -1, 1
Suppose 427*j**5 - 120*j + 36*j**4 + 32 - 116*j**3 + 420*j**5 + 172*j**2 - 851*j**5 = 0. Calculate j.
1, 2, 4
Suppose 17059 - 16975 = 28*q. Factor -164/7*y**q - 704/7*y - 256/7 + 624/7*y**2 + 2*y**4.
2*(y - 4)**3*(7*y + 2)/7
What is m in 163*m - 41 + 0*m**3 + 41 + 33*m**2 - 133*m + 3*m**3 = 0?
-10, -1, 0
Suppose -2*u + 4 = -2. Let v be (-40)/(-6) + 33/(-9) + u. Find o, given that 4*o**4 + 4*o - 4*o**3 + 4 - 2 + v - 12*o**2 = 0.
-1, 1, 2
Let x = -1707994/427 - -4000. Let r = 788/4697 + x. Determine n so that 2/11*n**5 + 0*n + 2/11*n**4 - 2/11*n**2 + 0 - r*n**3 = 0.
-1, 0, 1
Let g = 201 - 206. Let d(u) = 3*u**3 - 10*u**2 - 34*u + 34. Let n(j) = -j**2 + 2. Let h(q) = g*n(q) + d(q). Factor h(c).
(c - 4)*(c + 3)*(3*c - 2)
Let u(s) be the second derivative of -s**6/840 + s**5/60 + 3*s**4/28 - 18*s**2 + 117*s. Let z(k) be the first derivative of u(k). Solve z(d) = 0.
-2, 0, 9
Let b(t) be the third derivative of t**8/1512 - t**7/105 - 7*t**6/180 - 11*t**5/270 - 2320*t**2. Factor b(m).
2*m**2*(m - 11)*(m + 1)**2/9
Let u(g) be the third derivative of -g**5/15 - 370*g**4/3 - 273800*g**3/3 - 6557*g**2. Factor u(p).
-4*(p + 370)**2
Let y(l) be the second derivative of -1/10*l**6 + 57*l + 0*l**2 + 2 + l**4 - 3/20*l**5 + 2*l**3. Solve y(c) = 0.
-2, -1, 0, 2
Let m(j) be the first derivative of -j**4/4 - 515*j**3 - 595983*j**2/2 + 597529*j - 3989. Suppose m(o) = 0. Calculate o.
-773, 1
Let y(p) = 15*p**4 - 274*p**3 + 540*p**2 - 318*p + 45. Let b(z) = -5*z**4 + 92*z**3 - 181*z**2 + 106*z - 15. Let n(i) = 8*b(i) + 3*y(i). Solve n(f) = 0 for f.
1/5, 1, 15
Let b(y) = 3*y**3 - 6*y**2 - 17*y - 12. Let i(h) = -4*h**3 + 5*h**2 + 17*h + 13. Suppose 9*v - 7*v = -8. Let r(k) = v*i(k) - 5*b(k). Factor r(q).
(q + 1)**2*(q + 8)
Determine v so that -3965*v**2 + 3969*v**2 - 294*v + 829 + 99 - 124*v - 54*v = 0.
2, 116
Factor 3069 + 3033 - 6312 + 4*u**2 - 206*u.
2*(u + 1)*(2*u - 105)
Suppose 428/11*n**2 + 2/11*n**5 - 474/11*n**3 + 912/11*n + 12/11*n**4 + 0 = 0. Calculate n.
-19, -1, 0, 2, 12
Let o(u) be the first derivative of u**3/3 + u**2 - 5*u - 3. Let d(a) = -5 - 8*a + 16*a**2 - 17*a**2 + 9 + 7*a. Let t(r) = 3*d(r) + 2*o(r). Factor t(f).
-(f - 2)*(f + 1)
Let r = 295 - 216. Solve -v**5 + 375*v - 110*v**3 + 121*v**2 - 437 + r*v**2 + 18*v**4 - 813 = 0 for v.
-2, 5
Let -3/2*y**4 + 948*y + 312*y**3 + 633/2 + 945*y**2 = 0. What is y?
-1, 211
Let m(a) be the first derivative of a**6/30 + 4*a**5/25 - 9*a**4/2 + 16*a**3/3 + 89*a**2/10 - 84*a/5 - 125. Solve m(c) = 0.
-12, -1, 1, 7
Let t(d) = 9*d**3 + 22*d**2 + 33*d - 12. Let a = 76 - 82. Let x(f) = -2*f**3 - 5*f**2 - 8*f + 3. Let y(z) = a*t(z) - 26*x(z). Determine i, given that y(i) = 0.
-3, 1
Let t(x) = -11160*x + 111604. Let s be t(10). Solve 3*i**3 + 2*i + 0 - 1/2*i**s - 9/2*i**2 = 0 for i.
0, 1, 4
Suppose -2*g + 7610 = -2*z, -12691 = -4*g - 2*z + 2499. Factor -4*r**2 - g*r + 16 + 3800*r.
-4*(r - 2)*(r + 2)
Let l = -271 - -273. What is t in -197*t + 3*t**2 + 185*t - 40 + t**l = 0?
-2, 5
Suppose 4*w = -12, 6*d = 7*d - 3*w - 231. Let t = -218 + d. Factor -t*s**3 - 1/3*s**5 + 0*s + 2*s**4 + 0 + 8/3*s**2.
-s**2*(s - 2)**3/3
Let r(i) be the third derivative of 1/1470*i**7 + 0 - 81*i**2 - 1/168*i**6 + 0*i**3 - 1/56*i**4 + 1/60*i**5 + 0*i. Factor r(w).
w*(w - 3)*(w - 1)**2/7
Suppose 5*m - 98 - 552 = 0. Suppose 29*y - 3*y - m = 0. Let -1/10*r + 0 + 9/5*r**y - 21/10*r**4 + 1/2*r**2 - 1/10*r**3 = 0. Calculate r.
-1/2, 0, 1/3, 1
Let b be (31 - -9) + -5 + 0. Suppose 29*p = b*p - 12. Factor -16/11*r - 6/11*r**3 + 8/11 - 2*r**p.
-2*(r + 2)**2*(3*r - 1)/11
Let l(b) = -111*b**2 + 1905*b + 49968. Let g(v) = -7*v**2 + 119*v + 3122. Let q(o) = 63*g(o) - 4*l(o). Factor q(n).
3*(n - 59)*(n + 18)
Factor -16 - 56 - 3*i**3 + 12*i + 15*i - 3*i**2 + 51*i.
-3*(i - 4)*(i - 1)*(i + 6)
Factor -1920 + 78*a - 5*a**3 - 518*a - 296*a - 491*a - 150*a**2 - 13*a.
-5*(a + 2)*(a + 12)*(a + 16)
Let w = -849 - -851. Factor 158*q**3 + 40591*q + 3134*q**w + 1078*q**2 + 35152 + 2*q**4 - 1383*q.
2*(q + 1)*(q + 26)**3
Let r be 4/48*15 + 333/444. Factor 3/2*q**r + 9 + 15/2*q.
3*(q + 2)*(q + 3)/2
Let b be 8/10*555/222. Let w(p) be the third derivative of p**b - 5/3*p**3 + 0 + 5/24*p**4 + 0*p + 1/12*p**5. Factor w(u).
5*(u - 1)*(u + 2)
Let z be (56/21)/((25/150)/((-3)/(-24))). Factor 38/9*m + 0 + 2/9*m**z.
2*m*(m + 19)/9
Let o(g) = -95*g**3 + 190*g**2 + 180*g - 35. Let r(q) = -8*q**3 + 12*q + 8*q - 5*q + 123 + 16*q**2 - 126. Let u(f) = 3*o(f) - 35*r(f). Factor u(c).
-5*c*(c - 3)*(c + 1)
Let z(a) be the third derivative of -1/320*a**6 + 12*a**2 + 0*a**4 + 0 + 0*a**3 + 1/140*a**7 - 1/896*a**8 + 0*a - 3/80*a**5. What is p in z(p) = 0?
-1, 0, 2, 3
Let y(w) be the third derivative of w**8/630 + 13*w**7/1575 - 2*w**6/25 - 3*w**5/50 + 3*w**4/10 - 232*w**2 - 8. Suppose y(u) = 0. Calculate u.
-6, -1, 0, 3/4, 3
Let w = 6395711880689/8463 - 755726323. Let y = w - 2/651. Factor 0*n**2 + 2/13*n**3 - 12/13 - y*n.
2*(n - 3)*(n + 1)*(n + 2)/13
Let f(q) be the first derivative of 22/3*q**3 + q**4 - 12*q**2 - 72*q - 41 - 2/5*q**5. Factor f(k).
-2*(k - 3)**2*(k + 2)**2
What is w in 363/8*w**2 + 939/8*w + 189/4 - 3/4*w**3 = 0?
-2, -1/2, 63
Let f(m) be the first derivative of -m**5/6 + 23*m**4/12 + 10*m**3/3 + 25*m**2/2 - 64. Let q