 = 0 for b.
-65, 1/2, 1
Solve -125/3 + 251/6*r - 1/6*r**2 = 0 for r.
1, 250
Suppose 6*n + 356 - 338 = 0. Let s be n/(-15) - (-448)/160. Suppose 15/7*l**2 + 9/7 - 3/7*l**s - 3*l = 0. Calculate l.
1, 3
Let f(r) be the second derivative of r**5/20 - 20*r**4/3 - r**3/6 + 40*r**2 + 466*r. Factor f(u).
(u - 80)*(u - 1)*(u + 1)
Let c be 37 - ((-68385)/20)/(-97). Suppose c*f**4 + 9/2*f**3 + 13/4*f + 3/4 + 11/2*f**2 + 1/4*f**5 = 0. Calculate f.
-3, -1
Let w = 683 - 661. Suppose -w*i = -5*x - 20*i + 2, 1 = -4*x - i. Factor x - 1/11*u + 2/11*u**2 + 3/11*u**3.
u*(u + 1)*(3*u - 1)/11
Determine r so that -30*r - 24 + 35*r**3 + 16 - 16*r**2 - 29*r**3 = 0.
-1, -1/3, 4
Let i(q) be the third derivative of -q**7/1050 + 47*q**6/600 + q**5/2 + q**4/30 - 20*q**3/3 - 121*q**2 - 6*q. Find l, given that i(l) = 0.
-2, 1, 50
Factor -616 + 123 + 2*d**2 - 47*d - 543 - 3*d + 244.
2*(d - 36)*(d + 11)
Factor 30 - 574/3*n**2 + 13/3*n**3 - 497/3*n.
(n - 45)*(n + 1)*(13*n - 2)/3
Let h(q) be the third derivative of -q**5/180 - 181*q**4/9 - 262088*q**3/9 + 696*q**2. Find i such that h(i) = 0.
-724
Let r(c) be the third derivative of -89/32*c**6 + 7/8*c**4 - 133*c**2 + 0*c**3 + 3/10*c**5 + 9/40*c**7 + 0*c + 0. Solve r(q) = 0.
-2/9, 0, 2/7, 7
Find g such that -96/5 - 38/5*g**2 + 464/5*g = 0.
4/19, 12
Suppose -4*j - 9 = 15*v - 18*v, 0 = -2*j + 5*v - 1. Let p be 76/84 - (j - (-50)/15). Let -4/7*a - p*a**3 + 0 + 8/7*a**2 = 0. What is a?
0, 1
Let n = -57 - -9. Let s be (6/4)/(n/(-64)). Factor 2*b**2 + 4 + 2*b**s - 5*b**2.
-(b - 2)*(b + 2)
Let l(v) be the third derivative of v**6/720 - v**5/15 + 4*v**4/3 + 17*v**3/2 - 10*v**2. Let b(d) be the first derivative of l(d). Let b(a) = 0. Calculate a.
8
Let j = 75193/188020 - -3/37604. Factor -j*c**2 + 0 - 12/5*c.
-2*c*(c + 6)/5
Let b(d) = -3*d**3 + 57*d**2 - 128*d - 512. Let h(n) = n**3 + n**2. Let k be (8/(-4) + 1)*-1. Let r(i) = k*b(i) - h(i). Factor r(p).
-4*(p - 8)**2*(p + 2)
Let g(r) be the third derivative of -r**6/40 + 9*r**5/20 - r**4 + 7*r**2 - 73*r. Solve g(z) = 0.
0, 1, 8
Factor 1032 + 126*v**3 - 1/2*v**4 + 1544*v + 768*v**2.
-(v - 258)*(v + 2)**3/2
Let q(t) be the third derivative of -t**8/13440 - t**7/224 - 7*t**6/240 - 7*t**5/30 + t**3/2 + 39*t**2. Let z(b) be the third derivative of q(b). Factor z(r).
-3*(r + 1)*(r + 14)/2
Let t(u) be the first derivative of -u**7/4620 + 17*u**6/1980 - 4*u**5/33 + 16*u**4/33 - 4*u**3/3 - 90. Let d(q) be the third derivative of t(q). Factor d(z).
-2*(z - 8)**2*(z - 1)/11
Let d(u) be the second derivative of 2*u**6/15 + 7*u**5/5 - 3*u**4 - 230*u**3/3 - 200*u**2 + u + 85. Factor d(y).
4*(y - 4)*(y + 1)*(y + 5)**2
Suppose -h - 7 = -2*o + o, -3*o - 4*h + 7 = 0. Solve 4*x + o*x + 15 - 4*x**2 - 45*x + 25 = 0.
-10, 1
Let x be (-159)/126 + 23/(69/4). Let m(g) be the second derivative of 0 + x*g**4 + 2*g - 1/105*g**6 - 2/21*g**3 + 0*g**2 + 0*g**5. Factor m(l).
-2*l*(l - 1)**2*(l + 2)/7
Suppose -1772*h + 1445 = -2099. Factor -2/9*y**4 - 128 + 88/9*y**h + 64/3*y - 8/9*y**3.
-2*(y - 4)**2*(y + 6)**2/9
Let l(z) = z - 2. Let x be l(4). Suppose -132*o**x + 42*o**2 - 3*o**3 + 8*o**3 = 0. Calculate o.
0, 18
Solve 34*m**2 + 0 + 214/13*m**3 + 2/13*m**5 + 264/13*m + 38/13*m**4 = 0.
-11, -4, -3, -1, 0
Let l be (4347/45)/7 + 3/15. Let o be (-55)/(-110) + (-2)/(88/l). Factor -4/11*f + 0 - o*f**2.
-2*f*(f + 2)/11
Let t(u) be the third derivative of 4*u**2 + 0*u**3 - 121/60*u**4 + 0*u - 143/150*u**5 - 1/525*u**7 - 23/300*u**6 + 1. Solve t(r) = 0 for r.
-11, -1, 0
Solve 164/7*x - 4/7*x**3 - 132/7 - 4*x**2 = 0.
-11, 1, 3
Suppose 143850240*x**2 + 8559358*x**2 + 573*x**4 + 282*x**4 - 12*x**5 + 680066*x**3 - 12897917761 + 12744826749*x + 492*x**4 + 13*x**5 = 0. What is x?
-337, 1
Let k(b) = -b**2 + 26*b - 6. Let w be k(26). Let l be (-4)/(2 + w - -2). Determine a, given that -2*a**2 - 3*a**2 + 3*a**l + 0*a**3 - 2*a**3 = 0.
-1, 0
Let t(s) be the second derivative of -s**7/98 + 9*s**6/35 + 9*s**5/140 - 13*s**4/7 - 18*s**3/7 - 2*s + 574. Find i such that t(i) = 0.
-1, 0, 2, 18
Let n = -980 - -1721. Let h = 3707/5 - n. Solve -4/5*l - h*l**4 + 4/5*l**3 + 0*l**2 + 2/5 = 0 for l.
-1, 1
Let t(g) = -10*g + 112. Let j be t(11). Factor -129*y**2 - 133*y**2 + 258*y**2 + 2*y**4 - y**5 + j + 2*y**3 - y.
-(y - 2)*(y - 1)**2*(y + 1)**2
Let r(o) be the third derivative of o**8/336 + o**7/630 - 157*o**4/24 + 11*o**2 - 4*o. Let x(c) be the second derivative of r(c). Factor x(a).
4*a**2*(5*a + 1)
Let u be (-303)/707*(-4 - 10) + -1*2. Factor 1/7*z**3 + 0*z**2 + 0*z**u + 0*z - 1/7*z**5 + 0.
-z**3*(z - 1)*(z + 1)/7
Let l(v) = -v**2 + 2*v + 19. Let h be l(5). Determine w, given that 97*w**4 + 45*w + 126*w**3 - 3*w**5 - 12*w**h + 132*w**2 - 49*w**4 = 0.
-1, 0, 15
Let r(h) = -40*h - 74. Let q be r(-2). What is t in -10*t**2 + 10*t**4 + 2*t**5 - 394 + 394 + q*t**3 - 8*t = 0?
-4, -1, 0, 1
Factor 590/7*o**2 + 2328/7 - 2336/7*o - 2/7*o**3.
-2*(o - 291)*(o - 2)**2/7
Let i = 24 + -12. Factor 13*k**4 + 5*k**2 + 11*k**3 - 16*k**4 + k**3 - 2*k**2 - i*k.
-3*k*(k - 4)*(k - 1)*(k + 1)
Let t(o) be the second derivative of -o**7/98 + 27*o**6/70 - 27*o**5/70 - 55*o**4/7 + 156*o**3/7 - 6*o - 98. Find j, given that t(j) = 0.
-3, 0, 2, 26
Let n(w) be the second derivative of w**6/30 - 7*w**5/10 + 19*w**4/4 - 20*w**3/3 - 56*w**2 - w - 18. Factor n(p).
(p - 7)*(p - 4)**2*(p + 1)
Let z(x) be the first derivative of x**6/3 - 6*x**5/5 - 3*x**4 + 20*x**3/3 + 21*x**2 + 18*x + 1822. Factor z(l).
2*(l - 3)**2*(l + 1)**3
Find t such that -2/5*t**3 - 9769056/5*t + 4155105152/5 + 7656/5*t**2 = 0.
1276
Let w(m) = 9*m**2 - 1968*m + 318840. Let s(d) = 10*d**2 - 1970*d + 318842. Let p(n) = 6*s(n) - 7*w(n). Suppose p(x) = 0. Calculate x.
326
Factor 66 - 13*f + 1/3*f**3 - 32/3*f**2.
(f - 33)*(f - 2)*(f + 3)/3
Suppose -41*w + 839 = -8*w + 641. Let a(b) be the first derivative of 0*b**4 - 18 + 0*b + 2/65*b**5 + 0*b**2 + 0*b**3 - 1/39*b**w. Solve a(r) = 0 for r.
0, 1
Let o(t) = t**3 + 10*t**2 - 5*t + 13. Let m be o(-11). Let i = m - -56. Determine f so that -18*f - 4*f**2 + 3*f**i + f**2 + 12*f = 0.
-1, 0, 2
Let g = -296 + 188. Let h = -431/4 - g. Determine x so that -3/2 + 5/4*x - h*x**2 = 0.
2, 3
Let z(s) = s**2 + 8*s - 7*s**2 + 19*s**2 - 1 + 14. Let o = 2 + -11. Let l(m) = 6*m**2 + 4*m + 6. Let n(a) = o*l(a) + 4*z(a). What is t in n(t) = 0?
-1
Let p(l) = l**3 - l**2 - 3*l + 1. Let z(c) = 2*c**3 + 22*c**2 - 50*c - 2. Let y(k) = -2*p(k) - z(k). Suppose y(s) = 0. Calculate s.
-7, 0, 2
Let n = -59 - -61. Let a be (15/(-10) - -2)*(6 - n). Find j such that 49*j**2 + 30*j**4 - 8 + 26*j**a + 18 + 5*j**2 + 5*j**5 + 70*j**3 + 45*j = 0.
-2, -1
Let f(g) = 3*g**4 - 4*g**3 + 7*g**2 - 8*g + 6. Let r(z) = 13*z**4 - 15*z**3 + 26*z**2 - 33*z + 27. Let m(j) = -9*f(j) + 2*r(j). Suppose m(d) = 0. Calculate d.
0, 1, 2, 3
Determine q so that 35*q - 16*q**3 - 24*q**3 + 58*q**2 + 31*q**2 + 5*q**5 - 20 - 79*q**2 + 10*q**4 = 0.
-4, -1, 1
Let s(a) be the first derivative of 49 + 1/8*a**4 + 1/2*a**2 - 1/2*a**3 + 0*a. Suppose s(w) = 0. What is w?
0, 1, 2
Let z be (2/9)/(2/18). Solve 20 - 2*c**3 - 13*c + 51*c + 43*c**z - 27*c**2 = 0.
-1, 10
Let h be ((-92)/(-10))/((-3)/15). Let g = 93 + h. Solve -1297*b**2 - g + 966*b**3 + 46*b**2 - 105*b**4 - 42*b**4 - 13 + 492*b = 0.
2/7, 1, 5
Let z(l) be the first derivative of -3*l**5/20 + 9*l**4/4 - 9*l**3 + 418. Factor z(i).
-3*i**2*(i - 6)**2/4
Let s(k) = 2*k**2 + 121*k + 239. Let i be s(-2). Let r = 1 + 1. Determine d, given that d + 3*d**3 + d + 6*d**r + 6*d - i*d = 0.
-1, 0
Let n(m) be the second derivative of -1/9*m**2 - 38/27*m**3 - 2*m**4 - 7/27*m**6 - 53/45*m**5 + 3*m + 1. Let n(d) = 0. Calculate d.
-1, -1/35
Let x be ((-168)/105 + 4)/(135/100). Factor 4/3 + 2/9*v**3 + 26/9*v + x*v**2.
2*(v + 1)**2*(v + 6)/9
Let u(p) be the first derivative of -p**4/24 + 3*p**3/4 + 149*p + 96. Let h(n) be the first derivative of u(n). Factor h(s).
-s*(s - 9)/2
Let i = 817 - 789. Determine q, given that -q**2 - 12*q + i*q**2 - 13*q + 51*q - 11*q = 0.
-5/9, 0
Let t(w) = -17*w**3 + 1141*w**2 - 128*w - 390. Let c be t(67). Factor 12*j - c*j**3 - 9/4 - 55/4*j**2 + 16*j**4.
(j - 1)*(j + 1)*(8*j - 3)**2/4
Let a be ((-3)/4)/((-3)/10). Let d = 114159 + -114154. Factor d + a*p**2 + 15/2*p.
5*(p + 1)*(p + 2)/2
Let x(h) be the first derivative of -h**3/3 - 47*h**2/2 - 552*h + 1866. Factor x(k