m**3 - 86. Suppose q(b) = 0. What is b?
-77
Let -2/7*q**5 - 240/7*q**3 + 242/7*q + 1524/7 - 1780/7*q**2 + 256/7*q**4 = 0. What is q?
-2, -1, 1, 3, 127
Let t(c) = 12*c**4 + 4*c**3 + 2*c**2 + 10*c - 14. Let n(u) = u**4 + u - 1. Let j = -25 + 27. Let k(v) = j*t(v) - 28*n(v). Factor k(d).
-4*d*(d - 2)*(d - 1)*(d + 1)
Let g(p) be the third derivative of -11*p**5/60 + 45*p**4 - 98*p**3/3 - 267*p**2 - 3*p - 3. Suppose g(i) = 0. What is i?
2/11, 98
Suppose 0 = 5*y + 5*f - 10, 0*y = -3*y - f + 10. Let t(p) = y*p - 5*p + 0*p. Let q(r) = r**2 - r + 4. Let s(j) = q(j) - 5*t(j). Factor s(a).
(a + 2)**2
Suppose 0 = 137*d - 41*d - 311 + 23. Let y(f) be the third derivative of 0*f - 8*f**2 - 1/3*f**4 + 0 - 1/6*f**d - 4/15*f**5. Factor y(j).
-(4*j + 1)**2
Let l(a) be the second derivative of 8*a + 0*a**2 + 4 + 1/30*a**4 + 19/15*a**3. Factor l(s).
2*s*(s + 19)/5
Let y = 1573/3170 - -6/1585. Let g(w) be the second derivative of 0 + 3/2*w**4 - y*w**5 + 1/15*w**6 - 33*w - 7/3*w**3 + 2*w**2. Determine x so that g(x) = 0.
1, 2
Let y(s) be the first derivative of 38/3*s**2 + 2/9*s**3 + 722/3*s - 125. Factor y(t).
2*(t + 19)**2/3
Let n(x) be the second derivative of -1/9*x**3 - 1/12*x**4 + 5/2*x**2 - 1/45*x**5 + 0 + 2*x. Let u(f) be the first derivative of n(f). Factor u(b).
-2*(b + 1)*(2*b + 1)/3
Let k be (1240/250 - 5)*-13. Let d = 23/100 + k. What is r in 3/2*r**2 - 3/4 - 2*r - d*r**4 + 2*r**3 = 0?
-1, -1/3, 1, 3
Let g = 907 - 931. Let u be g/(32/8) + (-24)/(-3). Determine s, given that -8/7*s**u - 8/7*s**4 + 2/7*s + 2/7*s**5 + 12/7*s**3 + 0 = 0.
0, 1
Suppose -h - 42 + 45 = 2*x, x - 2*h = -6. Let j(y) be the third derivative of 1/15*y**5 + 9*y**2 + x*y + 0 + 0*y**3 + 1/6*y**4. What is m in j(m) = 0?
-1, 0
Suppose -88*i + 123*i + 231*i + 76*i = 0. Let b(z) be the first derivative of 8 - 2/5*z**5 - 10/3*z**3 + 2*z**4 + i*z + 2*z**2. Suppose b(v) = 0. Calculate v.
0, 1, 2
Let b(w) be the first derivative of w**5/40 + 39*w**4/16 + 51*w**3/8 + 19*w**2/4 + 3693. Factor b(m).
m*(m + 1)**2*(m + 76)/8
Let d(s) be the second derivative of s**7/126 + s**6/18 - s**5/15 - 5*s**4/9 + 4780*s + 1. Factor d(w).
w**2*(w - 2)*(w + 2)*(w + 5)/3
Let r(l) be the second derivative of -l**6/160 - l**5/5 - 5*l**4/2 - 16*l**3 - 101*l**2/2 - 213*l. Let y(s) be the first derivative of r(s). Solve y(t) = 0.
-8, -4
Let f(w) = 5*w**2 + 12*w + 36. Let j be f(-5). Suppose -139*q = -j*q. Solve -2/3*b**2 + q - 2/3*b**3 + 2/3*b**5 + 2/3*b**4 + 0*b = 0 for b.
-1, 0, 1
Let p(h) be the first derivative of h**6/6 - 2*h**5/5 - 3*h**4 - 14*h**3/3 - 5*h**2/2 - 6930. Let p(q) = 0. Calculate q.
-1, 0, 5
Let h(q) = -22*q**3 + 234*q**2 - 1544*q + 2968. Let y(i) = 8*i**3 - 78*i**2 + 513*i - 989. Let p(n) = 3*h(n) + 8*y(n). Factor p(t).
-2*(t - 31)*(t - 4)**2
Solve 128/3 + 400/9*u + 20/9*u**3 + 140/9*u**2 + 1/9*u**4 = 0 for u.
-8, -6, -4, -2
Suppose -20 + 16 = -s. Suppose -14 + 2 = -s*v. Factor -v + 0*a + 2*a + 5*a**2 + 1 + 7*a.
(a + 2)*(5*a - 1)
Factor 147*n**3 + 140*n**3 - 14593 - 116*n**2 + 322*n - 285*n**3 + 15033.
2*(n - 55)*(n - 4)*(n + 1)
Let u be (1/(-6))/(912/(-216) - -2). Let m(c) be the second derivative of c**4 + u*c**5 + 0 + 32*c + 0*c**2 + 4*c**3. Factor m(y).
3*y*(y + 4)**2/2
Let m(i) be the third derivative of -i**5/450 - 179*i**4/9 - 640820*i**3/9 - 7842*i**2. Let m(w) = 0. Calculate w.
-1790
Let p(v) be the second derivative of -v**6/120 + 7*v**5/20 - 47*v**4/24 - 119*v**3/2 - 2601*v**2/8 - v + 1575. Factor p(y).
-(y - 17)**2*(y + 3)**2/4
Factor -3564*l**2 - 3832*l + 1096 - 2722*l**3 + 13089*l**2 + 40*l**4 + 498*l**4 - 4607*l**2 + 2*l**5.
2*(l - 2)*(l - 1)**3*(l + 274)
Let l = -8578940/14399 + 10197/17. Let g = l + -20/121. Factor 3/7 - g*x**2 - 12/7*x**4 - 3/7*x - 33/7*x**3.
-3*(x + 1)**3*(4*x - 1)/7
Let l(d) = 433*d + 5. Let y be l(1). Suppose -430*r = -y*r + 16. Factor 0 - 16/5*u + 2/5*u**r.
2*u*(u - 8)/5
Let w = 2487/5 + -89531/180. Let v(l) be the second derivative of -1/378*l**7 - 8*l + 0*l**4 + 0*l**2 + 0*l**3 + 0 - w*l**5 + 1/135*l**6. Factor v(i).
-i**3*(i - 1)**2/9
Determine z so that -510*z - 2/13*z**3 - 218/13*z**2 - 36414/13 = 0.
-51, -7
Let t(o) = 601*o**2 + 3*o - 597*o**2 - 2*o + o**3 - 4. Let d be t(-3). Factor 2/13*r + 0 + 2/13*r**d.
2*r*(r + 1)/13
Let r(x) be the second derivative of 0 - 3/10*x**5 + 5*x**3 - 17/4*x**4 + 27/2*x**2 + 18*x. Factor r(n).
-3*(n - 1)*(n + 9)*(2*n + 1)
Let m(o) be the third derivative of o**7/420 + o**6/540 - o**5/90 + 10*o**3/3 + 22*o**2. Let t(w) be the first derivative of m(w). Factor t(x).
2*x*(x + 1)*(3*x - 2)/3
Let d(g) be the first derivative of -g**5/10 + g**4/3 + 13*g**3/3 + 10*g**2 - 58*g - 53. Let f(i) be the first derivative of d(i). Factor f(b).
-2*(b - 5)*(b + 1)*(b + 2)
Factor 1/8*p**4 - 83/8 - 123/4*p**2 + 10*p**3 + 31*p.
(p - 1)**3*(p + 83)/8
Let d(c) be the first derivative of c**3/21 + 37*c**2/14 + 132*c/7 + 1686. Solve d(m) = 0.
-33, -4
Factor -894*f**3 + 1350 + 135*f - 821*f**3 + 1720*f**3 - 90*f**2.
5*(f - 15)*(f - 6)*(f + 3)
Factor -1569*s**2 - 144*s**3 - 792 + 15995*s**4 + 693*s + 1281*s + 528*s**3 - 15992*s**4.
3*(s - 2)*(s - 1)**2*(s + 132)
What is y in -210*y + 44100 + 1/4*y**2 = 0?
420
Let w = -586551/20 - -146639/5. Find b, given that 7*b**3 + 3*b + 15/2*b**2 + 9/4*b**4 + w = 0.
-1, -1/9
Find g, given that 5*g**2 - 88*g - 352 + 27*g - 32*g - 57*g - 143 = 0.
-3, 33
Suppose -24*w - 1134 = -270. Let n be (-2)/(0 + (-4)/w*-6). Let -n*b**2 - 6/7 - 6/7*b**3 - 3*b = 0. What is b?
-2, -1, -1/2
Let j(a) be the second derivative of -a**5/25 + a**4/15 + 4*a**3/15 - 2462*a. Factor j(w).
-4*w*(w - 2)*(w + 1)/5
Factor 144/17 + 2/17*o**3 - 116/17*o - 30/17*o**2.
2*(o - 18)*(o - 1)*(o + 4)/17
Let f be 1/((-10)/(-55) + 173/(-957)). Let k = -955 + f. Factor 0 - 8/7*d - 2/7*d**3 - 8/7*d**k.
-2*d*(d + 2)**2/7
Let f = 20 + -11. Suppose 0 = -8*q + f*q - 2. Factor 0*s**q + 5*s - s**2 - 4 + 0*s**2 + 0*s**2.
-(s - 4)*(s - 1)
Suppose 862*b**2 - 1149*b + 300*b**2 + 6840 + 793*b**2 - 3*b**3 - 257*b**2 + 7977*b = 0. Calculate b.
-2, 570
Suppose 0 = -14*m + 112 + 168. Suppose -66*f**2 + 123*f**2 + 24*f - 61*f**2 - m = 0. What is f?
1, 5
Let q(n) be the second derivative of n**7/168 + n**6/20 - 3*n**5/20 - 19*n**4/24 - 7*n**3/8 - 3*n + 237. Factor q(k).
k*(k - 3)*(k + 1)**2*(k + 7)/4
Let s(o) be the third derivative of o**7/1365 - o**6/130 + 3*o**5/130 + 150*o**2. Solve s(i) = 0 for i.
0, 3
Let f(m) be the third derivative of -3*m**8/112 - m**7/35 + 9*m**6/40 - m**4/2 - 2669*m**2. What is k in f(k) = 0?
-2, -2/3, 0, 1
Let z = 5870 + -5854. Let u(b) be the third derivative of -1/40*b**5 + 1/4*b**3 - z*b**2 + 0*b + 0 + 1/16*b**4 - 1/80*b**6. Suppose u(x) = 0. Calculate x.
-1, 1
Let r(j) be the first derivative of j**4/2 + 22*j**3/3 + 28*j**2 - 1029. Suppose r(h) = 0. What is h?
-7, -4, 0
Let p(g) be the first derivative of 4*g**5/5 - 9*g**4 + 28*g**3 - 38*g**2 + 24*g + 5263. Let p(a) = 0. What is a?
1, 6
Factor 91*s + 49 + 39 - 386*s + 70*s**2 - 37 + 9.
5*(s - 4)*(14*s - 3)
Suppose 5*u + 5*d = 3*u - 8, u + 5 = -3*d. What is p in -7*p + u - 5 - 20*p**2 - 2 + 19*p**2 = 0?
-6, -1
Let u be ((-585)/(-100)*-2 + 11)/((-28)/10). Let -1/4*o + 1/2 - u*o**2 = 0. What is o?
-2, 1
Let q(k) be the third derivative of -k**10/6048 - k**9/1008 - k**8/672 + 17*k**4/12 - 64*k**2 - 2*k. Let y(s) be the second derivative of q(s). Factor y(z).
-5*z**3*(z + 1)*(z + 2)
Let n(z) = -2*z**3 + 31*z**2 + 292*z - 3. Let t = 105 - 108. Let d(q) = q**3 + q**2 - q + 1. Let b(i) = t*d(i) - n(i). Factor b(l).
-l*(l + 17)**2
Let d be 14*4/364*26. Let x = -1 - -4. Factor -3/4*i**2 + x - d*i.
-(i + 6)*(3*i - 2)/4
Let z(h) = h + 14 - 9 - 17. Let x be z(15). Factor -25*s + x*s**2 + 69 + 4*s - 9*s + 6.
3*(s - 5)**2
Suppose -8 = 2*w, 0 = c + 4*c + 2*w - 117. Suppose 5*q - 55 = c. Determine s so that -q - 4/3*s**2 + 32/3*s = 0.
2, 6
Factor -305/4*r**2 + 0 - 3/2*r**3 + 51/4*r.
-r*(r + 51)*(6*r - 1)/4
Suppose -v + 2*t - 13 = 0, -v - 4*t = -2*t - 7. Let o(c) = -c**3 - 2*c**2 + 3*c + 2. Let m be o(v). Factor -m*a**2 + 6*a - 2*a + 7 - 2 + 1.
-2*(a - 3)*(a + 1)
Let k = -18625 + 18625. Let w(m) be the third derivative of 0*m + 0 - 1/72*m**6 + 1/90*m**5 + k*m**3 + 6*m**2 + 0*m**4. Find l such that w(l) = 0.
0, 2/5
Suppose -23*i = -15*i - 5*i - 8*i. What is f in -14/5*f**4 + 32/5*f**3 + i - 8/5*f**2 +