0 - 11*s**6/150 - 71*s**5/50 + 44*s**4/15 - 16*s**3/15 + 58*s - 1. Let g(x) = 0. What is x?
-4, 0, 2/9, 1, 4
Suppose 5132*o - 452*o**2 - 12122857 - 318*o**2 + 12122801 + 38*o**2 = 0. Calculate o.
2/183, 7
Let j(g) be the first derivative of -3*g**5/5 + 51*g**4/4 - 44*g**3 + 42*g**2 + 726. Factor j(n).
-3*n*(n - 14)*(n - 2)*(n - 1)
Let u be (0 + 1)*(-5 + 4). Let a = 4 + u. Find g, given that -28*g**2 + 6*g + 10*g**3 - 12*g**3 + 2*g + 22*g**a = 0.
0, 2/5, 1
Let h(d) = -d**3 + d**2 - 7*d - 1. Let x(c) = c**3 - 3405*c**2 - 1928913*c - 364568523. Let p(m) = -3*h(m) - x(m). Factor p(r).
2*(r + 567)**3
Let n(z) be the first derivative of -169*z**4/16 - 2171*z**3/12 - 720*z**2 + 2025*z - 1278. Factor n(t).
-(t - 1)*(13*t + 90)**2/4
Let a = 601 + -563. Suppose a = -8*s + 78. Determine k, given that 4/3 + 8/9*k**2 + 8/3*k**3 - 28/9*k + 4/9*k**s - 20/9*k**4 = 0.
-1, 1, 3
Factor -32/9*n**2 + 38/9*n - 1/9*n**4 + 10/9*n**3 - 5/3.
-(n - 5)*(n - 3)*(n - 1)**2/9
Suppose 594*g - 596*g + 6 = 0. Determine j, given that -3*j**2 - 9*j**2 - 8*j**3 - 24*j**2 + g*j**4 - 25*j**3 = 0.
-1, 0, 12
Let s(y) be the second derivative of -y**5/16 - 35*y**4/12 - 20*y**3 + 3*y + 26. Factor s(w).
-5*w*(w + 4)*(w + 24)/4
Factor 0*z + 1/3*z**4 + 0 + 29/3*z**3 - 10*z**2.
z**2*(z - 1)*(z + 30)/3
Let t(i) be the third derivative of 0 - 9/8*i**4 - 15*i**2 + 81/4*i**3 + 0*i + 1/40*i**5. Factor t(d).
3*(d - 9)**2/2
Let 11730680*z + 11748365*z**2 + 3907280 + 3*z**5 + 3933815*z**3 + 1282*z**4 - z**5 + 3*z**5 - 1944*z**4 + 9517*z**4 = 0. What is z?
-884, -1
Let l be (1 + 9 - 10)/2. Let x(g) be the first derivative of -3/4*g**4 - 5 - 2*g**3 + l*g - 3/2*g**2. Suppose x(h) = 0. Calculate h.
-1, 0
Factor 0*l + 0 + 1800/7*l**2 + 1682/7*l**4 + 3480/7*l**3.
2*l**2*(29*l + 30)**2/7
Let s(q) be the first derivative of -q**6/33 - 106*q**5/55 - 153*q**4/22 - 302*q**3/33 - 50*q**2/11 + 743. Let s(z) = 0. Calculate z.
-50, -1, 0
Let n = 139414 - 1812374/13. Factor 0 - 10/13*z**4 + n*z**2 + 2/13*z**5 + 12/13*z**3 - 16/13*z.
2*z*(z - 2)**3*(z + 1)/13
Solve -567/2*l + 3/2*l**3 + 99 - 41*l**2 = 0.
-6, 1/3, 33
Let x(o) = 10*o - 138. Let w(a) = a**3 - 7*a**2 + 18*a - 10. Let j be w(4). Let h be x(j). Factor 0 + 1/3*m**3 + 1/9*m**h - 2/9*m.
m*(m + 1)*(3*m - 2)/9
Let a(w) be the third derivative of w**8/672 - w**7/105 + w**6/40 - w**5/30 + w**4/48 - 2568*w**2. Factor a(k).
k*(k - 1)**4/2
Let a(j) be the third derivative of j**6/120 - 7*j**5/15 + 197*j**4/24 - 85*j**3/3 - j**2 + 789*j. Solve a(d) = 0.
1, 10, 17
Let n = -186/143 + 16/11. Suppose -2*o = a - 3*a - 4, -o = -4*a - 2. Suppose 0*k - 2/13 + n*k**o = 0. Calculate k.
-1, 1
Let o = 385 + -318. Let y = o + -735/11. Factor -2/11*p**2 + y*p + 0.
-2*p*(p - 1)/11
Let b be 30 - 5*-3*(-4)/20. Let -2118 + 126*x**4 + 4235 + b*x**5 - 144*x + 111*x**3 - 2117 - 120*x**2 = 0. Calculate x.
-3, -4/3, 0, 1
Let r = 2331 - 2326. Let u(c) be the second derivative of -36*c**3 + 54*c**2 - 10*c - 1/42*c**7 + 57/4*c**4 - 67/20*c**r + 13/30*c**6 + 0. Factor u(w).
-(w - 3)**3*(w - 2)**2
Let d be 6/8 - (8 + (-363)/44). Let b be (11 + -12)/d*-3. Suppose f - f**2 + 0 + 1/4*f**b = 0. What is f?
0, 2
Let o(l) be the third derivative of -113*l**2 - 1/150*l**5 - 4/5*l**3 + 0*l - 13/60*l**4 + 0. Factor o(x).
-2*(x + 1)*(x + 12)/5
Let g = 277/152 - 239/152. Let p be 4/18 + 6/(-27). Factor g*r**3 + 0 - 1/4*r + p*r**2.
r*(r - 1)*(r + 1)/4
Suppose -10*d + 764 = -6*d. Suppose -185*j - 18 = -d*j. Find p such that 3267/8*p**4 + 87/2*p - 3 + 1353/8*p**j - 771/4*p**2 = 0.
-1, 2/11, 2/9
Let q(t) be the first derivative of t**4 + 92*t**3/3 - 1391. Suppose q(m) = 0. What is m?
-23, 0
Factor -13858*i**3 - 4*i**5 - 36448*i**2 - 7933*i**3 - 17956*i - 544*i**4 + 2759*i**3.
-4*i*(i + 1)**2*(i + 67)**2
Let q(b) be the third derivative of b**5/30 - 42*b**4 - 507*b**3 - 209*b**2. Factor q(l).
2*(l - 507)*(l + 3)
Let p(x) be the second derivative of -5*x**4/12 + 95*x**3/3 - 185*x**2/2 + 3*x - 26. What is j in p(j) = 0?
1, 37
Let o(j) be the second derivative of -j**5/600 - j**4/48 - j**3/10 + 23*j**2/2 + 4*j + 1. Let l(m) be the first derivative of o(m). Factor l(c).
-(c + 2)*(c + 3)/10
Let w(q) = -1478*q + 5915. Let c be w(4). Factor 0 + 2/5*a**4 + 2*a**2 - 8/5*a**c - 4/5*a.
2*a*(a - 2)*(a - 1)**2/5
Let r = 10394 - 10390. Let q(y) be the third derivative of 16*y**2 + 1/24*y**r + 0*y**3 - 1/180*y**5 + 0 + 0*y. Determine j so that q(j) = 0.
0, 3
Factor 23*j**3 + 3*j**3 - 544*j**2 + 9*j**3 + 10*j**3 - 47*j**3.
-2*j**2*(j + 272)
Let f(p) be the third derivative of 0*p - 31/6*p**3 + 0 + 0*p**4 + 1/1080*p**6 - 1/72*p**5 + 5*p**2. Let o(h) be the first derivative of f(h). Factor o(w).
w*(w - 5)/3
Factor 1682742*s**4 - 1682740*s**4 + 209952 - 108*s**3 - 8335*s + 162*s**2 + 43327*s.
2*(s - 36)**2*(s + 9)**2
Let h = -1229 + 1232. Suppose h*d - 5 - 1 = 0. Factor -2/5*l**d + 16/5*l - 14/5.
-2*(l - 7)*(l - 1)/5
Let f(x) be the second derivative of 25/2*x**3 + 1875/4*x**2 + 4 + 1/8*x**4 + 4*x. Suppose f(l) = 0. Calculate l.
-25
Let v(s) be the third derivative of -s**7/70 - 12*s**6/5 - 138*s**5/5 - 136*s**4 - 360*s**3 - 569*s**2. Determine w so that v(w) = 0.
-90, -2
Let 421 + 584*r + 13*r**2 - 25*r**2 - 2381 + 1381*r + 7*r**2 = 0. What is r?
1, 392
Let q(b) = -5*b**3 - 198*b**2 + 422*b + 3. Let z(u) = -5*u**3 - 197*u**2 + 418*u + 2. Let s(n) = -2*q(n) + 3*z(n). Factor s(k).
-5*k*(k - 2)*(k + 41)
Let d(x) be the second derivative of x**4/24 + 133*x**3/4 - 100*x**2 + 1852*x. Factor d(t).
(t - 1)*(t + 400)/2
Suppose -2*f = 5*m - 21, -m - 1 = 5*f + 4. Let j be f/7 - ((-745)/35 + 5). Determine l so that -58*l**2 + 67*l**2 - j + 4 - 3*l**3 = 0.
-1, 2
Determine o, given that 487*o**2 - 65*o**3 - 10627*o**2 - 9653618000 - 198*o**3 - 15947422*o - 1189178*o + 261*o**3 = 0.
-1690
Find s, given that -3/8*s**2 + 651/8*s + 0 = 0.
0, 217
Let p be 3/((-3110085)/70677473) - (-3)/(-33). Let u = -2/345565 - p. Suppose -16/5*r**2 + 128/5*r + 2/15*r**3 - u = 0. Calculate r.
8
Let g(p) be the first derivative of 2*p - 36 + 3/2*p**2 + 1/3*p**3. Factor g(w).
(w + 1)*(w + 2)
Let x(v) be the third derivative of v**6/180 - 16*v**5/45 + 5*v**4/3 + 333*v**2 + 5. Factor x(y).
2*y*(y - 30)*(y - 2)/3
Factor 4222*q**3 - 1110659*q**2 - 1948951*q**2 - q**4 - 1058326*q**2 - 338385*q**2.
-q**2*(q - 2111)**2
Suppose -43 = -125*g + 207. Suppose 0 = -2*i - 2*c - 0*c, g*c - 6 = -5*i. Factor 0 - 4*b - 1/4*b**5 - 6*b**3 + i*b**4 + 8*b**2.
-b*(b - 2)**4/4
Factor 0 + 2/9*b**3 + 32*b + 290/9*b**2.
2*b*(b + 1)*(b + 144)/9
Let j = -184 + 186. Factor j*f**2 - 495 + 248 + 4*f + 249.
2*(f + 1)**2
Let u = 334 + -139. Factor -7*c**2 + 215*c**4 + 52*c**2 - 44*c**5 + u*c**3 - 10*c + 119*c**5.
5*c*(c + 1)**3*(15*c - 2)
Let y(n) be the second derivative of -51*n**5/5 + 14*n**4/3 + 2*n**3/3 + 21*n - 1. Let y(l) = 0. Calculate l.
-1/17, 0, 1/3
Suppose -102*w + 18*w + 6333 = 6081. Factor -6*n**4 + w*n**3 + 18*n**2 - 3/2*n**5 - 27/2*n + 0.
-3*n*(n - 1)**2*(n + 3)**2/2
Let 64 + 1379*d**5 + 52*d**3 - 18*d**4 - 40*d**2 + 0*d - 1377*d**5 + 12*d - 60*d = 0. Calculate d.
-1, 2, 4
Let z(m) be the second derivative of 27/2*m**2 + m + 1/60*m**5 + 19/36*m**4 + 11/2*m**3 - 5. Factor z(j).
(j + 1)*(j + 9)**2/3
Let t(d) = 32*d**3 + 713*d**2 - 82*d - 328. Let b(k) = -225*k**3 - 4992*k**2 + 573*k + 2304. Let r(o) = -4*b(o) - 27*t(o). Let r(q) = 0. What is q?
-20, -2/3, 3/4
Let f = -111 + 106. Let c(l) = 2*l**2 - 14*l. Let r(p) = 3*p**2 - 22*p. Let u(j) = f*r(j) + 8*c(j). Factor u(w).
w*(w - 2)
Let v(t) = -3*t**3 - 3*t**2 + 45*t + 69. Let l(r) = -10*r**3 - r**2 + 135*r + 210. Let z(g) = 2*l(g) - 7*v(g). Solve z(q) = 0 for q.
-21, -1, 3
Let c(r) be the first derivative of 21*r**5/20 + 375*r**4/8 + 549*r**3 - 243*r**2 + 314. Suppose c(g) = 0. What is g?
-18, 0, 2/7
Let p(k) = -37*k**3 - 199*k**2 - 424*k + 660. Let u(a) = -13*a**3 - 66*a**2 - 141*a + 220. Let m(z) = -4*p(z) + 11*u(z). Find d such that m(d) = 0.
-11, -4, 1
Let j(h) be the first derivative of -4*h**5/5 + 148*h**4 - 21904*h**3/3 + 890. Factor j(r).
-4*r**2*(r - 74)**2
Suppose -2733/2*v + 2489763/2 + 3/8*v**2 = 0. What is v?
1822
Factor -23*b**4 + 46*b**3 + 18*b**4 + 65*b**2 + 10*b**3 - 116*b**3.
-5*b**2*(b - 1)*(b + 13)
Let g = 31530 - 409846/13. Factor -400/13 + 280/13*b + 2/13*b**3 - g*b**2.
2*(b - 10)**2*(b - 2)/13
Factor -56*d