of r**4/18 - 52*r**3 - 469*r**2/3 + 2125*r + 1. Factor s(g).
2*(g - 469)*(g + 1)/3
Let l(f) be the first derivative of -f**3/6 + 53*f**2/2 + 220*f + 3154. Factor l(g).
-(g - 110)*(g + 4)/2
Suppose -2*c + r = -10, 167*c = 168*c + 2*r + 5. Factor -h**c + 9/5*h**2 - 1/5 - 3/5*h.
-(h - 1)**2*(5*h + 1)/5
Find t such that 3/7*t**4 + 3409059/7*t**2 - 971280*t - 6390/7*t**3 + 485184 = 0.
1, 1064
Let b be (84 - (-1941)/(-21)) + 9 + 0. Let r be (8/(-14))/((-4)/10). Solve b*q - r*q**3 + 6/7*q**2 + 0 = 0.
-2/5, 0, 1
Let j(k) = -3 + 100*k**2 + 0*k + 4*k - 103*k**2. Let h(p) = 13*p**2 - 17*p + 13. Let w(s) = 2*h(s) + 9*j(s). Solve w(t) = 0.
1
Let m = 1190376 + -10713232/9. Factor 46/9*c**2 + 2/9*c**3 + m + 160/9*c.
2*(c + 2)**2*(c + 19)/9
Factor -356 - 8*b - 347 + 679 + b**2 + 18*b.
(b - 2)*(b + 12)
Let b(q) be the second derivative of 1 + 26/3*q**3 + 28*q**2 - 1/3*q**4 + 37*q. Factor b(c).
-4*(c - 14)*(c + 1)
Let n be (-1 - 21/(-9)) + -63 + (-6685)/(-105). Suppose -72/5 + 2*b**n + 176/5*b = 0. Calculate b.
-18, 2/5
Let l(r) be the first derivative of 71*r**2/2 - 29*r - 19. Let b be l(7). Factor -3*m**2 - b*m + 8*m**2 + m**4 - 4*m**3 + 466*m.
m*(m - 2)*(m - 1)**2
Let v be 9/45 - (36461/570)/(-101). Suppose 0 = u - 0 - 2. Factor v*s**u + 5/3 - 5/2*s.
5*(s - 2)*(s - 1)/6
Solve 21275/2*r**2 + 1/4*r**5 + 1943/2*r**3 + 109/4*r**4 - 97199/4*r + 50653/4 = 0.
-37, 1
Suppose 4*s - 3*a = -23, -12 = s - a - a. Let u be (-1208)/(-3)*(-3)/s. Factor c**2 + c**2 - u*c + 614*c.
2*c*(c + 5)
Let 0 - 26/3*k + 103/3*k**2 + 4/3*k**3 = 0. What is k?
-26, 0, 1/4
Let g = -43834 + 43837. Factor -2/17*n**4 - 56/17*n + 0 - 22/17*n**g - 64/17*n**2.
-2*n*(n + 2)**2*(n + 7)/17
Let p = -489 + 493. Suppose -4 = 3*y + 8, -5*s - 16 = p*y. Factor s - 5/2*v**2 + 10*v.
-5*v*(v - 4)/2
Let j = 1320 - 1320. Let i(w) be the third derivative of j - 7*w**2 - 1/2*w**3 + 1/20*w**5 + 1/8*w**4 - 1/40*w**6 + 0*w. Factor i(q).
-3*(q - 1)**2*(q + 1)
Let l(b) = 16*b - 8. Let q be l(1). Let x be 20*(2 - (-16)/(-10)). What is a in 5*a**2 - 12*a - 5*a + 15 - 3*a**3 - x*a + q*a**3 = 0?
-3, 1
Let b(g) be the second derivative of -g**4/72 - 67*g**3/18 - 22*g**2 - 862*g. Factor b(q).
-(q + 2)*(q + 132)/6
Let m(g) be the first derivative of -2*g**6/27 - 8*g**5/45 + 44*g**4/3 + 536*g**3/27 - 262*g**2/9 - 176*g/3 + 5138. Find l, given that m(l) = 0.
-12, -1, 1, 11
Let r(j) = -7*j**3 - 37*j**2 + 78*j + 124. Let t(o) = -19*o**3 - 110*o**2 + 236*o + 371. Let k(i) = -11*r(i) + 4*t(i). Factor k(a).
(a - 30)*(a - 4)*(a + 1)
Let a(g) be the first derivative of g**4/6 + 2*g**3/3 - 3*g - 61. Let d(u) be the first derivative of a(u). Find k such that d(k) = 0.
-2, 0
Let b(r) be the third derivative of r**5/180 + 313*r**4/72 - 35*r**3 + 2850*r**2 - r. What is m in b(m) = 0?
-315, 2
Let m(g) = 24*g**4 - 58*g**3 - 28*g**2 - 6*g + 6. Let y(o) = 74*o**4 - 175*o**3 - 82*o**2 - 17*o + 17. Let b(f) = 17*m(f) - 6*y(f). Factor b(a).
-4*a**2*(a - 2)*(9*a + 2)
Let h be (-150)/135*(2/(-10))/((-379)/(-195564)). Factor -14792/3 - 2/3*j**2 + h*j.
-2*(j - 86)**2/3
Let x(b) be the third derivative of 0*b - 1/30*b**6 + 0*b**3 - 2*b**2 - 141 + 0*b**4 - 47/15*b**5. Find v, given that x(v) = 0.
-47, 0
Let a(l) be the second derivative of l**6/120 + l**5/60 - l**4/12 + 69*l**2 - 83*l. Let c(o) be the first derivative of a(o). Factor c(v).
v*(v - 1)*(v + 2)
Let y = 61 + -51. Suppose y*i = 4*i + 24. Factor -53*s**i - 2*s + s**2 + 55*s**4 + 2*s + 3*s**3.
s**2*(s + 1)*(2*s + 1)
Let g(z) be the third derivative of -1/5*z**5 + 0 + 1/12*z**4 + 1/60*z**6 + 2/105*z**7 - 64*z**2 + 2/3*z**3 + 0*z. Determine o so that g(o) = 0.
-2, -1/2, 1
Let y = 7862/49 + -22383/196. Suppose -75*t - 145*t**2 + 15/4*t**4 + 0 - y*t**3 = 0. Calculate t.
-2, -2/3, 0, 15
Suppose 172 = -285*i + 74 + 668. Factor 1/9*f**3 - 4/9*f - 1/3*f**i + 0.
f*(f - 4)*(f + 1)/9
Suppose 2*h = 10*h - 16. Factor 8*m**2 + 3*m**3 + 26 + 37*m - 2*m**3 + 16*m + 20*m**h.
(m + 1)**2*(m + 26)
Let m be (-4)/14 - (22950/35 + -10). Let c = -642 - m. Factor 69/4*t**2 + 21*t + 6*t**3 + 3/4*t**c + 9.
3*(t + 1)*(t + 2)**2*(t + 3)/4
Suppose 0 = -6*l - 1 + 19. Let p = -12 + 16. Find h such that 2*h**4 + 11*h**2 - p*h - 3*h + l*h - 17*h**2 = 0.
-1, 0, 2
Suppose -4*o + 576 = -i - 77, 2*o - 2*i - 322 = 0. Let c(l) = 3*l**2 + l. Let u be c(-1). Let o*a**2 - 8 + a**3 - 150*a**u - 7*a**3 = 0. What is a?
-2/3, 1, 2
Suppose 0 = -v - 4*z - 36, -3*v - 6*z - 15 = 39. Factor 1/2*g + g**2 + 1/2*g**3 + v.
g*(g + 1)**2/2
Let v be (-2)/(-3)*9/12. Let q = 32617 + -32613. Find h, given that q + v*h**2 + 9/2*h = 0.
-8, -1
Factor -3/2*l**2 + 1/4*l - l**4 + 9/4*l**3 + 0.
-l*(l - 1)**2*(4*l - 1)/4
Let d(g) be the first derivative of 6/55*g**5 - 48 - 6/11*g**2 - 2/11*g**3 + 0*g + 3/11*g**4. Solve d(i) = 0 for i.
-2, -1, 0, 1
Let n(q) = -20*q**3 - 136*q**2 + 421*q + 6468. Let x(i) = 7*i**3 + 47*i**2 - 142*i - 2156. Let p(k) = -6*n(k) - 17*x(k). Find d such that p(d) = 0.
-14, 11
Solve 12996*a - 28765*a + 12759*a - 2631*a**3 - 5 - 369*a**3 - 4271*a**2 - 1734*a**2 = 0 for a.
-1, -1/600
Let a(w) be the second derivative of w**5/20 + 473*w**4/6 + 1889*w**3/6 + 472*w**2 - 2782*w - 1. Solve a(x) = 0 for x.
-944, -1
Let m(f) be the first derivative of -f**4/38 - 3106*f**3/57 - 605275*f**2/19 - 3603750*f/19 + 14154. Suppose m(t) = 0. What is t?
-775, -3
Factor -686 + 4*y**2 + 115*y + 174*y - 273 - 817 + 591*y.
4*(y - 2)*(y + 222)
Let m(j) = -4*j**2 + 2200*j - 2218. Let k(l) = -1. Let h(a) = -22*k(a) + m(a). Determine y, given that h(y) = 0.
1, 549
Let d be (13 - 2) + -8 + 96 + -2. Suppose -98*m + d*m = 0. Factor m - 2/7*p**2 - 4/7*p.
-2*p*(p + 2)/7
Suppose -19*x - 1269 = -5468. Suppose 0 = 7*r - x + 207. Solve 16/5*u - 2/5*u**5 - 8/5 + 2*u**4 - 14/5*u**3 - 2/5*u**r = 0 for u.
-1, 1, 2
Let o = -396 + 72. Let a be (230/(-6))/(270/o). Determine v so that a*v**3 + 0 + 140/3*v**4 + 50/3*v**5 + 56/3*v**2 + 8/3*v = 0.
-1, -2/5, 0
Suppose 5*s - 69 = -29. Let f be ((-4)/s)/((-1)/26). What is k in f*k**3 + 4*k**2 - 9*k**3 + 4*k**4 + 2*k**3 + k + k**5 = 0?
-1, 0
Let h = 1004/15 - 608/9. Let n = -22/45 - h. Factor -2/5*r**2 + 0 - n*r**4 + 2/5*r**3 + 2/15*r.
-2*r*(r - 1)**3/15
Let p = 27 + -23. Let g = -7509/2 + 3756. Determine m, given that -15/2*m**3 - 21/2*m - 27/2*m**2 - g*m**p - 3 = 0.
-2, -1
Let s(n) = 17*n**4 - 46*n**3 + 133*n**2 - 122*n. Let u(x) = -20*x**4 + 47*x**3 - 134*x**2 + 128*x. Let l(t) = -7*s(t) - 6*u(t). Determine r so that l(r) = 0.
-43, 0, 1, 2
Let r = -172506/5 - -34502. Suppose -r*t**2 + 1/5*t**3 + t - 2/5 = 0. What is t?
1, 2
Suppose -c + 2*c = -2*q + 10, 14 = 2*q + 3*c. Suppose q*x = 6 + 2. Suppose -5*j**x + j**2 + 7*j**2 + 12 + 16*j + j**2 = 0. Calculate j.
-3, -1
Suppose -4*n = -7*n + 5*q - 12, 2*q = -4*n - 42. Let a(h) = -2*h + 3. Let x be a(n). Suppose -x*o - 19*o - 18*o - 324 - 14*o - 4*o**2 = 0. Calculate o.
-9
Let d be (-68)/10 - 160928/(-19260). Factor d*n**2 - 8/9 - 8/3*n.
2*(n - 2)*(7*n + 2)/9
Let r(d) be the first derivative of 9/4*d - 1/24*d**6 - 21/8*d**2 - 35 - 3/20*d**5 + 3/8*d**4 + 5/6*d**3. Suppose r(g) = 0. What is g?
-3, 1
Let y(d) be the third derivative of -d**5/48 + 145*d**4/96 - 125*d**3/6 - 163*d**2 - d - 9. Suppose y(g) = 0. What is g?
4, 25
Let x(t) = -12*t**2 + 32*t. Let m(g) be the first derivative of -4*g**3/3 + 11*g**2/2 + 39. Let u(b) = 16*m(b) - 5*x(b). Solve u(a) = 0 for a.
0, 4
Suppose 5100*p - 2548*p - 2550*p = 0. Let t(y) be the second derivative of -1/11*y**4 + 24*y + 1/165*y**6 - 1/110*y**5 + 0*y**3 + p*y**2 + 0. Factor t(m).
2*m**2*(m - 3)*(m + 2)/11
What is t in 7/4*t**2 - 3/4*t - 15/4*t**4 + 11/4*t**3 + 0 = 0?
-3/5, 0, 1/3, 1
Let m(o) be the first derivative of -o**4 + 28*o**3 + 140*o**2 + 192*o + 701. Let m(h) = 0. Calculate h.
-2, -1, 24
Let w(s) = 7*s**3 + 9*s**2 - 41*s + 11. Let m(n) = 22*n**3 + 26*n**2 - 125*n + 28. Let i(u) = 4*m(u) - 14*w(u). Let i(a) = 0. What is a?
-21/5, 1
Let t(f) = -2*f**2 - 220*f - 4. Let v(g) = 2*g**2 + 222*g + 5. Let r(p) = 5*t(p) + 4*v(p). Find b such that r(b) = 0.
-106, 0
Let w(f) be the second derivative of 2*f**7/945 + f**6/45 + 21*f**2 - 2*f + 25. Let b(n) be the first derivative of w(n). Suppose b(k) = 0. What is k?
-6, 0
Let i(f) be the first derivative of -f**5/110 - 5*f**4/11 + f**3/33 + 30*f**2/11 - 62*f + 107. Let n(b) be the first derivative of 