157. Determine g so that b(g) = 0.
0, 1, 383
Factor -490/3*i + 47/3*i**2 - 392 - 1/3*i**3.
-(i - 28)*(i - 21)*(i + 2)/3
Suppose 3*h - 3 = 4*i, 4*i + 9 = -3*h + 12. Let p be 1 - 1 - (0 + -1). Find y, given that -h + p + 3*y**5 - 3*y**4 = 0.
0, 1
Let r(v) be the second derivative of -v**8/20160 + v**7/7560 + v**6/1080 - 14*v**4/3 + 7*v - 3. Let g(f) be the third derivative of r(f). Factor g(c).
-c*(c - 2)*(c + 1)/3
Let t(j) = j**3 - 10*j**2 + 10*j - 11. Let h be t(9). Let n be -4 + 12 + 1*h. Factor 2*b + 3*b**2 - 34 + 34 - n*b**2 + b**3.
b*(b - 2)*(b - 1)
Let l(t) be the third derivative of t**8/1680 - 4*t**7/525 + 17*t**6/600 + t**5/150 - t**4/5 + 6*t**2 - 69*t. Find b such that l(b) = 0.
-1, 0, 2, 3, 4
Let u(o) = -34*o**2 + 8765*o - 1444. Let a(d) = -475*d**2 + 122710*d - 20220. Let m(j) = -4*a(j) + 55*u(j). Suppose m(f) = 0. Calculate f.
1/6, 292
Solve -1/5*r**2 + 2062/5*r - 1062961/5 = 0 for r.
1031
Suppose 12*m - 62 = 22. Determine z, given that -m*z + 25*z**2 + 5*z**5 + z**4 - 15*z**3 + z**4 - 7*z**4 - 3*z = 0.
-2, 0, 1
Suppose 22536*g - 89 + 409 = 22696*g. Factor 2/7*o**g + 12/7*o + 10/7.
2*(o + 1)*(o + 5)/7
Suppose 4*o - 14 = -6. Let i(d) = 52*d**2 - 5*d**3 - 4*d - 53*d**o - d. Let v(n) = 11*n**3 + n**2 + 11*n. Let u(m) = 14*i(m) + 6*v(m). Factor u(a).
-4*a*(a + 1)**2
Let p(z) = 4*z**2 + 64*z + 100. Let w(b) be the first derivative of -21/2*b**2 - 1/3*b**3 + 23 - 33*b. Let q(g) = -3*p(g) - 8*w(g). Factor q(x).
-4*(x + 3)**2
Let m be (-3)/(-21) + (1 - 180/(-63)). Suppose -m*z + 4*o - 20 + 0 = 0, 0 = z - 3*o + 15. Let -4/5*q + 4/5*q**2 + z = 0. What is q?
0, 1
Let c be 2*3*130/12. Suppose -145*q**3 - 53*q - 45*q**4 - 195*q**2 + c*q**5 + 0*q**2 - 37*q - 70*q**5 = 0. What is q?
-3, -2, -1, 0
Let g(h) be the second derivative of -2*h**2 + 0*h**3 - 1/220*h**6 - 1/330*h**5 + 0 + 1/66*h**4 - 14*h. Let z(d) be the first derivative of g(d). Factor z(q).
-2*q*(q + 1)*(3*q - 2)/11
Suppose 7*x + 39 = -31. Let v(r) = -2*r**3 + r - 1. Let h(n) = -5*n**3 + 95*n**2 + 115*n + 15. Let q(o) = x*v(o) + h(o). Suppose q(k) = 0. Calculate k.
-5, -1, -1/3
Let k be (-14160)/6372 + 1150/72. Find c such that k*c**2 - 5/2 - 45/4*c = 0.
-2/11, 1
Let u(o) = -624*o + 627. Let q be u(1). Solve 1/2*z**5 + 1/2*z**q + 0 - 3/2*z**4 + 3/2*z**2 - z = 0 for z.
-1, 0, 1, 2
Let v = 149 - -6. Let g be 10/v + (-944)/(-744). Factor -1/3*t**4 - 5/3*t**2 + 0 + 2/3*t + g*t**3.
-t*(t - 2)*(t - 1)**2/3
Let b(f) be the second derivative of -f**6/60 - 2*f**5/15 - 5*f**4/12 - 2*f**3/3 + 20*f**2 + f + 4. Let m(o) be the first derivative of b(o). Factor m(j).
-2*(j + 1)**2*(j + 2)
Let f be 3/(-12) - 105/12. Let g be (2 + -1)/(3 - (-24)/f). Solve -4*v**4 + g*v**5 - 10*v**4 - 6*v**5 - 4*v**3 + 11*v**5 = 0 for v.
-1/4, 0, 2
Let b = 8446 + -8443. Let d(s) be the first derivative of 25/2*s**2 - 5/3*s**b - 17 - 30*s. Find n such that d(n) = 0.
2, 3
Factor -364658/15 - 1708/15*m - 2/15*m**2.
-2*(m + 427)**2/15
Factor -972*p**3 - 51*p**4 + 122*p**4 + 193*p**4 - 4*p**5 + 94*p**2 + 390*p**2 + 228*p**4.
-4*p**2*(p - 121)*(p - 1)**2
Let r(h) be the first derivative of -32*h**3/3 + 334*h**2 + 84*h + 1803. Let r(b) = 0. What is b?
-1/8, 21
Let o = -1148707/4 + 287177. Factor -1/2*c**4 + 0*c**2 + 0*c + o*c**5 - 3/4*c**3 + 0.
c**3*(c - 3)*(c + 1)/4
Let w = -1/1185 - -143/948. Let d(m) be the first derivative of 0*m**2 + w*m**4 - 1/15*m**3 + 1/30*m**6 - 3/25*m**5 - 16 + 0*m. Suppose d(y) = 0. Calculate y.
0, 1
Let p(m) = -m - 4. Suppose -16 = 2*k - 2. Let l be p(k). Solve 4*c**4 - 2*c**3 + 8*c - 12*c**2 + 8*c**l + 0*c**4 - 5*c**4 = 0 for c.
0, 2
Factor 74*q + 27*q - 100 - 7392*q**2 + 7391*q**2.
-(q - 100)*(q - 1)
Determine t so that -69*t - 480/7 - 3/7*t**2 = 0.
-160, -1
Let q(i) be the first derivative of i**3/3 - 356*i**2 - 713*i + 11243. Determine w, given that q(w) = 0.
-1, 713
Suppose 14 = -3*q - 4*s, -41 = -2*q + 2*s - 27. Let a be q/13 + (-388)/(-182). Determine k, given that -2/7 - 32/7*k**3 - a*k**2 + 2*k = 0.
-1, 1/4
Let u(z) be the third derivative of -2*z**7/105 - 34*z**6/15 + 283*z**5/60 + 485*z**4/24 + 23*z**3 + z**2 - 71. Determine g, given that u(g) = 0.
-69, -1/2, 2
Let g(q) be the second derivative of -q**4/20 - 473*q**3/5 - 671187*q**2/10 - 1799*q. Factor g(j).
-3*(j + 473)**2/5
Let d(a) = 3*a**3 - a**2 - 3*a - 2. Let g(r) = 126*r**3 + r**2 - 15*r - 10. Let k(j) = 5*d(j) - g(j). Solve k(p) = 0 for p.
-2/37, 0
Let m(u) be the third derivative of u**8/672 + u**7/21 - 47*u**6/240 - 11*u**5/20 - 4160*u**2. Solve m(y) = 0.
-22, -1, 0, 3
Let q = 1889 - 1885. Let s(p) be the first derivative of -4/9*p**3 + 1/6*p**q + 0*p + 4 + 1/3*p**2. Determine x so that s(x) = 0.
0, 1
Let l(p) be the first derivative of 2*p**5/65 - 1133*p**4/26 + 174*p**3 - 3391*p**2/13 + 2260*p/13 + 217. Factor l(u).
2*(u - 1130)*(u - 1)**3/13
Let o(l) be the second derivative of -l**7/14 + 3*l**6/10 + 9*l**5/10 - 5*l**4/2 - 21*l**3/2 - 27*l**2/2 - 2*l + 2136. Factor o(v).
-3*(v - 3)**2*(v + 1)**3
Let o = -235 - 184. Let i = -5443/13 - o. Factor 0*j**2 + i + 6/13*j - 2/13*j**3.
-2*(j - 2)*(j + 1)**2/13
Let h(c) be the first derivative of -15/2*c + 5/8*c**2 + 5/12*c**3 - 150. Suppose h(r) = 0. Calculate r.
-3, 2
Let h(n) = -n - 10. Let s be h(0). Let a = s + 34. Factor -48*m**2 - 3*m**4 + a*m**3 + 0 + 0*m**4 + 0.
-3*m**2*(m - 4)**2
Let s(c) be the third derivative of -3*c**8/784 + c**7/10 - 101*c**6/140 + 151*c**5/70 - 179*c**4/56 + 33*c**3/14 - 1783*c**2. Find q, given that s(q) = 0.
1/3, 1, 3, 11
Let i(l) = 2*l**3 - 72*l**2 + 358*l + 432. Let r(w) = -4*w**3 + 143*w**2 - 717*w - 864. Let d(x) = 7*i(x) + 4*r(x). Find t such that d(t) = 0.
-1, 8, 27
Let t(r) be the third derivative of -r**5/90 + 331*r**4/288 - 41*r**3/24 - 8*r**2 + 49*r. Factor t(z).
-(z - 41)*(8*z - 3)/12
Factor -140/3 - 2/3*j**2 - 74/3*j.
-2*(j + 2)*(j + 35)/3
Let u(h) = 7*h**2 - 4. Let b be u(5). Let z = 269 - b. Determine k so that -1206*k**2 - 185 - 826*k**4 - z*k**5 + 1296*k - 2150*k**3 - 88 + 57 = 0.
-3, 2/7
Let k = -165979/3 - -57388. Let i = k - 2059. Determine s, given that -i*s - 4/3*s**2 - 4/3 = 0.
-1
Let q(b) be the second derivative of -3*b**3 + 55*b + 0*b**2 - 2 - 5/4*b**4 + 1/10*b**6 - 1/42*b**7 + 7/20*b**5. Find m such that q(m) = 0.
-2, -1, 0, 3
Let y(m) be the first derivative of -m**4/4 - 10*m**3/3 - 19*m**2/2 - 24*m - 81. Let n be y(-8). Determine v, given that 1/2*v**2 + n - 2*v = 0.
0, 4
Let g(f) be the first derivative of -8/3*f**3 + 3*f**4 + 0*f + 0*f**2 - 4/5*f**5 + 53. Let g(o) = 0. Calculate o.
0, 1, 2
Let q(z) be the second derivative of -z**4/4 + 14*z**3 + 49*z - 7. Factor q(t).
-3*t*(t - 28)
Let q(b) be the first derivative of 2/15*b**3 - 45 - 9/5*b**2 - 44/5*b. Factor q(i).
2*(i - 11)*(i + 2)/5
Let r(t) be the first derivative of 7*t**6/180 + 37*t**5/90 - 8*t**4/9 - 4*t**3/3 + 73*t**2 - 146. Let h(l) be the second derivative of r(l). Factor h(j).
2*(j - 1)*(j + 6)*(7*j + 2)/3
Let t be (-113)/(-8) - (-18)/(-144). Suppose 13*l - t*l = -24. Factor 105*d**2 + 13*d**3 + 35*d + 10*d - 38*d**3 + l*d**4 - 149*d**4.
-5*d*(d - 1)*(5*d + 3)**2
Suppose -147*f**2 + 3/2*f**5 + 540 + 234*f + 12*f**4 - 93/2*f**3 = 0. What is f?
-10, -2, 3
Let j(w) = -457*w**3 - 6*w**2 + 2*w + 3. Let a be j(-1). Let p = 1366/3 - a. What is t in 0 + p*t + 2/3*t**2 = 0?
-5, 0
Let j(t) be the first derivative of -3*t - 125 - 4*t**3 + 7/8*t**4 + 23/4*t**2. What is k in j(k) = 0?
3/7, 1, 2
Solve 26/3*m**3 - 34/9*m**4 + 106/9*m**2 + 2/9*m**5 + 56/3 - 320/9*m = 0 for m.
-2, 1, 3, 14
Let p be (5/40 - (-876)/(-96)) + (-7)/(588/(-852)). What is l in 2/7*l**4 + 2/7*l**5 + 0 - 8/7*l**3 + 0*l - p*l**2 = 0?
-2, -1, 0, 2
Let q(j) be the second derivative of 0 + 4*j**2 + 3/5*j**5 - 1/3*j**4 - 2*j**3 + 67*j - 2/15*j**6. Suppose q(y) = 0. Calculate y.
-1, 1, 2
Let j = -346 - -282. Let n = 64 + j. Determine o so that 0*o - 4/3*o**4 + n + 8/3*o**2 + 4/3*o**3 = 0.
-1, 0, 2
Let t(g) be the second derivative of 16*g**2 + 143*g + 0 - 5*g**3 - 1/6*g**4. Suppose t(m) = 0. What is m?
-16, 1
Let g(i) be the second derivative of 2*i**6/15 - 51*i**5/10 + 143*i**4/3 - 92*i**3 - 216*i**2 - 2*i + 674. Let g(y) = 0. Calculate y.
-1/2, 2, 6, 18
Suppose -144*z + 100 = -142*z. Suppose -6 = -14*a + z. Suppose d**2 + 0 - 3*d**3 + 0*d + 9/4*d**a = 0. What is d?
0, 2/3
Solve -529*p**2 + 1083*p**2 -