 -7*g(b) - 2*s(b). Factor w(p).
(3*p + 2)*(11*p + 1)
Suppose 0 = 2295*m - 2303*m. Let v(s) be the third derivative of 0*s + m*s**3 + 0 - 1/35*s**5 + 1/56*s**4 + 18*s**2 + 3/280*s**6. Let v(u) = 0. What is u?
0, 1/3, 1
Let n = -25 + 25. Suppose 5*o = c - 32 + 96, 5*o + 5*c - 40 = n. Let -o*l + 2*l**2 + 7*l - l**2 + 3*l = 0. What is l?
0, 2
Factor 90 + 791*w - 2*w**2 + 738*w + 714*w - 2155*w.
-2*(w - 45)*(w + 1)
Let l be (-369)/(-117) + 13/((-1690)/20). Let w = 0 - 0. Suppose -l*q + 29 + w*q**3 - 27 + q**3 = 0. Calculate q.
-2, 1
Let g(f) = -4*f + 47. Let r be g(11). Factor 63*b**2 - 36*b**r + 8*b**3 + 24 - 69*b + 13*b**3 - 3*b**4.
-3*(b - 1)**3*(b + 8)
Let u be ((4/(-6))/((-14)/21))/(-1) - -1. Let s(d) be the third derivative of -3/8*d**4 + 1/60*d**5 - 15*d**2 + 4/3*d**3 + 0 + u*d. Factor s(j).
(j - 8)*(j - 1)
Factor 102 + 1/2*w**2 - 205/2*w.
(w - 204)*(w - 1)/2
Factor 191628*f**2 - 630 - 191625*f**2 + 77*f + 10*f.
3*(f - 6)*(f + 35)
Let q(k) be the third derivative of k**5/20 + 181*k**4/4 - 363*k**3/2 + 3423*k**2. Find j, given that q(j) = 0.
-363, 1
Let g(n) be the first derivative of n**4/6 + 346*n**3/9 - 349*n**2/3 + 350*n/3 + 612. Factor g(y).
2*(y - 1)**2*(y + 175)/3
Let l(c) be the first derivative of -2/27*c**3 + 0*c**2 + 38 + 2*c. Find s such that l(s) = 0.
-3, 3
Let j = 1676 - 1177. Let u = 503 - j. Factor -2/11*i**u + 0 + 0*i**3 + 0*i + 2/11*i**2.
-2*i**2*(i - 1)*(i + 1)/11
Let x(n) be the first derivative of -167 + 24*n - 2/9*n**3 - 3*n**2. Factor x(i).
-2*(i - 3)*(i + 12)/3
Find q, given that 0 + 46/5*q - 1/5*q**3 + 9*q**2 = 0.
-1, 0, 46
Factor 1/3*j**3 - 107/3*j**2 + 211/3*j - 35.
(j - 105)*(j - 1)**2/3
Suppose -904320 = -471*f - 1884*f. Determine q so that 16*q - 1/6*q**2 - f = 0.
48
Let w(c) be the first derivative of c**7/70 - 3*c**5/100 - 136*c + 177. Let h(d) be the first derivative of w(d). Let h(z) = 0. What is z?
-1, 0, 1
Let v(f) = -195*f**3 - 10*f**2 + 15*f + 105. Let x be v(-7). Determine t so that 128*t + x*t**2 + 17 + 63 - 66383*t**2 = 0.
-10, -2/3
Suppose -13*a + 165 = -316. Factor -32*t - 72*t - a*t - 11*t + 2*t**2.
2*t*(t - 76)
Let p be 3/(-36)*-2*(-6)/(-8). Let v be (-5)/(30/(-9))*(-2)/(-12). Factor v - 1/8*k - p*k**2.
-(k - 1)*(k + 2)/8
Let m(g) = -g**2 + 5*g - 4. Let r be m(2). What is u in -7*u**3 - 10*u**2 + 47*u**2 + r*u**3 - 5*u**2 - 64*u + u**3 = 0?
0, 4
Let b(f) = 8*f + 4. Let i(q) be the first derivative of 2*q**3/3 - 88. Let r(u) = b(u) + 2*i(u). Factor r(c).
4*(c + 1)**2
Let l = 14 - 16. Let g be 10/(2 - 0/(l + -1)). Suppose 5*i**5 - 48*i**4 + 10*i**5 - 2*i**g + 7*i**5 + 16*i**3 = 0. Calculate i.
0, 2/5, 2
Let c(b) be the first derivative of 72 + 800/7*b + 2/21*b**3 - 40/7*b**2. Factor c(l).
2*(l - 20)**2/7
Let v(n) be the second derivative of 1/13*n**4 + 1/195*n**6 + 25/13*n**2 + 40/39*n**3 - 9*n - 4/65*n**5 + 8. Factor v(g).
2*(g - 5)**2*(g + 1)**2/13
Find s such that 6*s**2 + 28*s**3 + 5*s**2 + 12*s + 25*s**3 + 14*s**2 + 36*s**2 + 4*s**4 = 0.
-12, -1, -1/4, 0
Let p(w) be the third derivative of w**5/480 - 665*w**4/192 + 83*w**3/6 + 12*w**2 - 66. Factor p(v).
(v - 664)*(v - 1)/8
Let z be (-40)/25*(-143)/44 - 2/10. Let r(a) be the second derivative of 0 - 3/2*a**4 - 6*a**2 - 9/2*a**3 + 14*a - 3/20*a**z. Determine j so that r(j) = 0.
-4, -1
Let c = -53319/10 + 5338. Let p = c - 57/10. Suppose -p*k**2 + 2/5*k**4 + 0 + 0*k**3 + 0*k = 0. What is k?
-1, 0, 1
Let j = -2/21 + 23/168. Let g(i) be the third derivative of 0*i - j*i**3 - 1/96*i**4 - 16*i**2 + 1/240*i**5 + 1/480*i**6 + 0. Let g(h) = 0. What is h?
-1, 1
Let 408*h - 2/9*h**2 - 187272 = 0. What is h?
918
Let 2*c**2 - 1577 - 111*c - 59*c - 352*c - 1002 + 459 = 0. What is c?
-4, 265
What is j in 100*j + 35*j**4 + 0 + 25*j**3 + 5/3*j**5 - 485/3*j**2 = 0?
-20, -3, 0, 1
Determine i, given that 108*i**4 + 21*i**5 - 1292*i + 1292*i + 18*i**2 + 141*i**3 = 0.
-3, -2, -1/7, 0
Let a = -1647 + 1688. Suppose 0 = -3*f + i + 4, a*f - 5*i = 43*f + 20. Suppose f - 2/5*t**3 + 0*t + 0*t**2 = 0. Calculate t.
0
Let v be (300/(-3))/(0 + -2). Let i = v - 38. Factor -3*c**4 - 11*c**5 + 3*c**3 + 17*c**5 - i*c**5.
-3*c**3*(c + 1)*(2*c - 1)
Let i(m) = -3*m**2 + 2*m - 5. Let p(h) = h**2 + 2*h. Suppose 0 = 3*x + 22 - 4. Let w(o) = x*p(o) - 3*i(o). Factor w(z).
3*(z - 5)*(z - 1)
Let m(o) = 86*o**2 - 31*o + 67. Let k be m(2). Suppose 5*g = k - 334. Solve 3*b**g - 9*b + 27/4 + 3/4*b**4 - 3/2*b**2 = 0.
-3, 1
Let q(n) be the first derivative of n**3/12 - 11*n**2/4 - 395. Suppose q(g) = 0. Calculate g.
0, 22
Let p(y) = 53*y - 38. Let g be p(1). Find l such that 23*l**4 - 10*l + 23*l**4 - g*l**2 + 25*l**4 - 66*l**4 = 0.
-1, 0, 2
Let c be (-5)/((-5)/(-4))*(-228 + 227). Let j(g) be the third derivative of 0*g + 1/18*g**c + 0 + 9*g**2 + 1/45*g**5 + 0*g**3. Factor j(w).
4*w*(w + 1)/3
What is h in 490*h**3 - 740*h**2 - 115*h**4 + 117*h + 307*h - 64*h + 5*h**5 = 0?
0, 1, 2, 18
Let g(y) = -33*y**3 - y**2. Let t be g(-1). Let -4 + 3*m**2 - 45*m**4 + 5*m**3 + 14*m**4 + t*m**4 - 5*m = 0. Calculate m.
-4, -1, 1
Suppose 0 = -z + 2*j + 12, -13*j + 40 = 5*z - 18*j. Let f(a) be the first derivative of 8 + 1/4*a**z - 1/5*a**5 + 1/3*a**3 - 1/2*a**2 + 0*a. Factor f(o).
-o*(o - 1)**2*(o + 1)
Let h(f) be the first derivative of -1/4*f**4 + 0*f + 0*f**5 + 38 + 33/2*f**2 + 1/60*f**6 - 2/3*f**3. Let g(s) be the second derivative of h(s). Factor g(w).
2*(w - 2)*(w + 1)**2
Let j = 410 - 402. Let w(r) = -r**3 + 5*r**2 + 29*r - 38. Let f be w(j). Determine i so that 4/13*i**3 + 2/13*i**f + 0 + 2/13*i**4 + 0*i = 0.
-1, 0
Let y be (22/4 - 6)*-8 - -6. Let z be (-9)/((-180)/(-56)) - (y + -13). Factor -z*s**5 + 0 + s**4 + 0*s - 7/5*s**3 + 3/5*s**2.
-s**2*(s - 3)*(s - 1)**2/5
Let w(c) be the second derivative of c**7/14 - c**6/10 - 4147*c. Find f such that w(f) = 0.
0, 1
Let d(v) be the first derivative of 646*v**5/25 + 968*v**4/5 + 2576*v**3/5 + 512*v**2 - 32*v/5 - 552. Determine g, given that d(g) = 0.
-2, 2/323
Let k(f) be the first derivative of -5*f**3/6 - 715*f**2/4 - 705*f + 2547. Determine r, given that k(r) = 0.
-141, -2
Suppose -630 = -15*v - 6*v. Let y = 33 - v. Factor -11/3*l**y + 2/3*l**2 + 0*l - 7/3*l**5 + 16/3*l**4 + 0.
-l**2*(l - 1)**2*(7*l - 2)/3
Suppose -24 - 54/5*x + 3/5*x**2 = 0. What is x?
-2, 20
Let g(f) be the third derivative of f**7/210 - f**6/40 - f**5/20 + 7*f**4/24 + f**3 + 1490*f**2. Factor g(z).
(z - 3)*(z - 2)*(z + 1)**2
Suppose -3*b - 35 + 29 = 0, 0 = -2*j + 4*b + 14. Let c(t) be the third derivative of 0*t**j - 1/40*t**5 - 15*t**2 + 0 - 1/80*t**6 + 0*t + 0*t**4. Factor c(y).
-3*y**2*(y + 1)/2
Suppose -5*t + 19 = 4*w, 0 = -25*t + 24*t - 4*w + 7. Let q be (3/t - -2)*56/252. Find d such that 4/9*d**2 - 4/9 - q*d = 0.
-1/2, 2
Determine r so that 2*r**5 - 109*r**2 - 4*r**3 - 88 + 37*r**4 - 3*r**5 - 68 - 775*r + 85*r**3 + 467*r = 0.
-2, -1, 2, 39
Let z(s) be the first derivative of -s**3 + 1/5*s**5 - 184 + 1/4*s**4 - 1/2*s**2 + 2*s. Factor z(r).
(r - 1)**2*(r + 1)*(r + 2)
Let g be (-1359 - -1362)/(4/(4/1)). Factor 16/7*x**2 + 45/7*x - 162/7 + 1/7*x**g.
(x - 2)*(x + 9)**2/7
Let b(n) be the first derivative of n**4/16 + 263*n**3/12 + 2145*n**2 - 4356*n - 3955. Factor b(k).
(k - 1)*(k + 132)**2/4
Let t be ((-8)/(-10) - 0)/((-4)/(-10)). Determine r so that -30*r - 5*r**2 + 8*r**2 + 3*r**t - r**2 + 40 = 0.
2, 4
Let n(x) be the third derivative of 2*x**2 - 1/20*x**4 - 4/525*x**7 + 1/840*x**8 + 0*x + 0*x**3 - 49 + 2/75*x**5 + 1/150*x**6. Find p such that n(p) = 0.
-1, 0, 1, 3
Let l(o) be the second derivative of 7*o**6/10 + 69*o**5/20 + 5*o**4 + 2*o**3 - 2766*o. Solve l(d) = 0 for d.
-2, -1, -2/7, 0
Suppose 21*c = -4*z + 24*c + 20, -10 = -z + 2*c. Let p(h) be the first derivative of -35 - 3/35*h**5 + h**3 + 9/7*h**z + 0*h**4 + 0*h. Factor p(d).
-3*d*(d - 3)*(d + 1)*(d + 2)/7
Let b(f) = -5*f**2 + 12084*f - 7308429. Let j(l) = -l - 4. Let c(y) = b(y) - 6*j(y). Factor c(u).
-5*(u - 1209)**2
Let m(r) = -r**4 + 490*r**3 - 60026*r**2 - 488*r + 60027. Let k(j) = 2*j**4 - 980*j**3 + 120053*j**2 + 975*j - 120055. Let b(t) = -2*k(t) - 5*m(t). Factor b(h).
(h - 245)**2*(h - 1)*(h + 1)
Factor -44*n + 46*n**2 - 8/3 - 35/3*n**3.
-(n - 2)**2*(35*n + 2)/3
Let t(b) be the third derivative of b**6/240 - 3*b**5/40 + 9*b**4/16 + 107*b**3/6 - 208*b**2. Let r(a) be the first derivative of t(a). Factor r(o).
3*(o - 