*-2. Let h be o - (117/(-21))/(-3). Factor -b**2 - 1/7*b**3 - 9/7 - h*b.
-(b + 1)*(b + 3)**2/7
Suppose -9 = -32*k + 55. Let s(y) be the first derivative of 3*y**k + 2/3*y**3 + 0*y + 1. What is g in s(g) = 0?
-3, 0
Let a(x) be the second derivative of x**5/90 - 11*x**4/18 + 32*x**3/3 - 256*x**2/9 + 22*x + 1. Factor a(f).
2*(f - 16)**2*(f - 1)/9
Factor -34*h + 5*h**2 + 25 + 4*h - 2*h**2 - 86 + 28.
3*(h - 11)*(h + 1)
Let t(c) be the third derivative of c**8/80640 - c**7/10080 + c**6/2880 + c**5/6 + 29*c**2. Let p(k) be the third derivative of t(k). Factor p(h).
(h - 1)**2/4
Let j(r) = -12*r**3 - 45*r**2 - 9*r + 9. Let o(w) = -3*w**3 - 11*w**2 - 2*w + 2. Let q(p) = 2*j(p) - 9*o(p). Factor q(n).
3*n**2*(n + 3)
Let g(x) = -x**2 - 43*x - 220. Let y be g(-37). Find w, given that -2/3*w**4 + 2/3*w**3 + 8/3*w**y - 8/3*w + 0 = 0.
-2, 0, 1, 2
Let s(x) = -4*x**2 + 4*x**2 + x**2 - 1. Let f(h) = -2*h - 1. Let c(a) = -f(a) + s(a). Determine z so that c(z) = 0.
-2, 0
Let x(d) be the second derivative of -d**8/1680 - d**7/280 - d**6/180 + 3*d**3 + 23*d. Let r(k) be the second derivative of x(k). Factor r(i).
-i**2*(i + 1)*(i + 2)
Let t(x) be the second derivative of -x**7/105 - x**6/60 + x**5/30 + x**4/12 + 4*x**2 + 16*x. Let c(j) be the first derivative of t(j). Factor c(u).
-2*u*(u - 1)*(u + 1)**2
Let k be -8*1*1*4/(-8). Factor -6*f**3 - 6*f**4 + 5*f**2 + f**4 + 7*f**3 + k*f**3 - 5*f.
-5*f*(f - 1)**2*(f + 1)
Let a = -34/53 + 806/265. Let -3/5*d**3 - 3*d**2 - a - 24/5*d = 0. What is d?
-2, -1
Let r(k) be the first derivative of 5*k**6/18 - 10*k**4/3 + 10*k**3/3 + 35*k**2/6 - 10*k + 215. Solve r(m) = 0 for m.
-3, -1, 1, 2
Let k be -7*(-168)/5742 + 6/(-33). Let r = 1208/435 + k. Let r*o + 4/5 + 6/5*o**2 = 0. What is o?
-2, -1/3
Let n(v) = -v**4 - 2*v**3 + v**2 + v - 1. Let j(u) = -5*u**4 - 4*u**3 + 17*u**2 + 2*u - 14. Let d(x) = j(x) - 2*n(x). Let d(s) = 0. Calculate s.
-2, -1, 1, 2
Let m(r) be the third derivative of r**5/150 + r**4/15 - 7*r**3/5 + r**2 - 7*r. Solve m(x) = 0 for x.
-7, 3
Let d(i) be the first derivative of 4/7*i - 2/7*i**6 + 35 + 2/7*i**4 - 8/7*i**3 + 4/7*i**5 + 2/7*i**2. Let d(j) = 0. Calculate j.
-1, -1/3, 1
Let p be (170/(-102))/((-2)/(-3) - 1). Determine i, given that -4*i**p - 8*i + 8*i**3 + 10*i**3 - 6*i**3 + 6*i**4 - 2*i**4 - 4*i**2 = 0.
-1, 0, 1, 2
Let y(v) = -5*v**2 + 39*v - 42. Let g(r) = -32*r**2 + 233*r - 253. Let c(t) = 6*g(t) - 39*y(t). Factor c(a).
3*(a - 40)*(a - 1)
Let s(m) = -5*m**2 - 10*m + 37. Let q(x) = -70*x + 22*x**2 - 63*x**2 + 6*x**2 + 260. Let v(i) = 3*q(i) - 20*s(i). Factor v(c).
-5*(c - 2)*(c + 4)
Let b be 6/(-20)*29890/(-732). Factor -1 - 21/4*k**2 - 6*k + b*k**3.
(k - 1)*(7*k + 2)**2/4
Let y(b) be the first derivative of -7/4*b**2 + 5*b + 3 + 1/6*b**3. Factor y(q).
(q - 5)*(q - 2)/2
Let z(p) = -p**2 - p. Let h(t) = 9*t**2 - 81*t + 88. Let m(d) = -5*h(d) - 40*z(d). Factor m(s).
-5*(s - 88)*(s - 1)
Suppose -6*f + 46*f - 124 = -22*f. Factor -2/9*z**f - 5/9*z + 4/9*z**4 + 4/9*z**3 + 1/9*z**5 - 2/9.
(z - 1)*(z + 1)**3*(z + 2)/9
Let g be (-4 + 12/6)*-4 + -6. Suppose 0 + 3/7*p - 1/7*p**g = 0. Calculate p.
0, 3
Let s be ((-3)/(-5))/((-15)/(-75)). Factor 9*j**2 - 12*j + 3*j**2 + 0*j**3 - s*j**3 + 0*j**3.
-3*j*(j - 2)**2
Let j be (-1 + -20 - -11)/(5/(-2)). Let x(s) be the second derivative of 0*s**2 + 9*s - 1/3*s**3 + 0 - 1/12*s**j. Solve x(q) = 0.
-2, 0
Let g(r) be the first derivative of r**6/3 + 2*r**5/5 - r**4/2 - 2*r**3/3 - 45. Factor g(w).
2*w**2*(w - 1)*(w + 1)**2
Let c(a) = -28*a - 390. Let w be c(-14). Factor -2/9*g - 4/9*g**w + 4/9 + 2/9*g**3.
2*(g - 2)*(g - 1)*(g + 1)/9
Let x = 6 + -9. Let q(g) = g**3 + 3*g**2 + 3. Let c be q(x). Factor -2*h**c - 5*h**2 + h**2 + 4 + 24*h - 22*h.
-2*(h - 1)*(h + 1)*(h + 2)
Suppose -4487*h = -4628*h + 705. Factor 0*i**4 - 1/5*i + 2/5*i**3 + 0*i**2 - 1/5*i**h + 0.
-i*(i - 1)**2*(i + 1)**2/5
Let a(q) be the first derivative of q**4 - 288*q**3 + 858*q**2 - 856*q - 107. Find n such that a(n) = 0.
1, 214
Let u(b) be the third derivative of -16*b**2 + 0*b**5 - 1/924*b**8 + 0*b**3 - 1/330*b**6 + 0*b - 1/231*b**7 + 0*b**4 + 0. Solve u(z) = 0 for z.
-2, -1/2, 0
Let t = -42706/7 + 6101. What is q in t*q + 0 + 1/7*q**2 = 0?
-1, 0
Suppose 7*z - 25 = 2*z. Suppose 0 = 2*n - z*n. Suppose -3 - 8*d + 0*d**2 + n + 2*d + 6*d**3 - 9*d**4 + 12*d**2 = 0. Calculate d.
-1, -1/3, 1
Suppose -41*k - 49*k + 37*k + 106 = 0. Factor -16/9*d + 8/3 - 2/9*d**k + 2/9*d**3.
2*(d - 2)**2*(d + 3)/9
Let h(c) be the second derivative of 3/35*c**7 - 23/50*c**5 + 4/25*c**6 - 3/5*c**4 + 4/5*c**3 + 8/5*c**2 + 0 - 7*c. Solve h(m) = 0 for m.
-2, -2/3, 1
Factor 1/6*y**2 - 4*y + 0.
y*(y - 24)/6
Factor -39/7*o**2 + 3/7*o**3 + 78/7*o + 120/7.
3*(o - 10)*(o - 4)*(o + 1)/7
Let o(j) be the second derivative of 3/40*j**4 - 1/25*j**5 - 3*j**2 + 1/120*j**6 - 4*j - 1/15*j**3 + 0. Let g(f) be the first derivative of o(f). Factor g(m).
(m - 1)**2*(5*m - 2)/5
Let y(n) be the third derivative of -n**6/420 + 13*n**5/210 + 862*n**2. Factor y(b).
-2*b**2*(b - 13)/7
Let b be 5 + (2 + 0)*-1. Factor -248 + 4*g**b - 4*g**2 + 489 - 241.
4*g**2*(g - 1)
Let d(h) be the first derivative of -3*h**5/25 + 3*h**4/5 + 11*h**3/5 + 9*h**2/5 - 100. Factor d(a).
-3*a*(a - 6)*(a + 1)**2/5
Suppose 0 = 52*w - 55*w + 3*z, 3*z = -4*w. Let i(u) be the third derivative of -6*u**2 - 1/30*u**5 + 1/120*u**6 + 1/24*u**4 + w + 0*u + 0*u**3. Factor i(k).
k*(k - 1)**2
Solve -1/5*k**2 - 2*k + 0 = 0.
-10, 0
Let n(m) be the first derivative of -1/12*m**2 + 5/24*m**4 - 14 + 0*m + 2/9*m**3. Find q such that n(q) = 0.
-1, 0, 1/5
Let g(d) = -2*d - 4. Let f be g(-3). Let i be (-1)/(f + (-14)/6). Factor 20*p**i - 12*p**4 - 10*p**4 + 0*p**4 + 6*p**4 - 4*p**2.
-4*p**2*(p - 1)*(4*p - 1)
Let i = 14 + -9. Let -6*v**2 + 6*v + 6*v**3 - 3 + 9*v**4 - 14*v - v + 3*v**i = 0. What is v?
-1, 1
Let n(f) be the third derivative of f**6/30 + 233*f**5/5 + 54289*f**4/2 + 25298674*f**3/3 - 2*f**2 + 71*f. Find r such that n(r) = 0.
-233
Let a(t) = t + 9. Let p be a(-5). Factor -14*r**5 - 10*r**p + 2*r**5 - 3*r**5.
-5*r**4*(3*r + 2)
Suppose 1223*l**4 + 2*l + 2*l**2 - 2*l**3 - 611*l**4 - 614*l**4 = 0. What is l?
-1, 0, 1
Let t(s) be the first derivative of s**5/20 - s**4/12 - 2*s**3/3 + 2*s**2 - 7*s - 6. Let x(k) be the first derivative of t(k). Determine u, given that x(u) = 0.
-2, 1, 2
Let n(t) = -5*t**2 + 185*t + 455. Let q(m) = -4*m**2 + 93*m + 228. Let h(d) = -3*n(d) + 5*q(d). Determine j so that h(j) = 0.
-15, -3
Suppose -1/2*t**3 - 3*t**2 - 3/2*t + 5 = 0. What is t?
-5, -2, 1
Suppose -35*l - 16793 + 16863 = 0. Find k such that 16/9 - 16/9*k + 4/9*k**l = 0.
2
Suppose 4/3*k + 0 - 2/9*k**2 = 0. Calculate k.
0, 6
Let h(t) = t**3 + 5*t**2 + 4*t - 1. Let i be h(-3). Let -13*j**i - 4*j**3 + 15*j**5 + 3*j**4 - j**4 = 0. What is j?
-2, 0, 1
Let j(n) be the third derivative of -n**6/1080 - 11*n**5/270 - 2*n**2 + n. What is m in j(m) = 0?
-22, 0
Factor 375 - 176*w - 115 + 20*w**2 - 64*w - 13*w**2 + 38*w**2 + 5*w**3.
5*(w - 2)**2*(w + 13)
Let d(k) be the third derivative of -3/220*k**5 + 0 + 0*k**3 + 0*k - 6*k**2 + 1/132*k**4. Factor d(r).
-r*(9*r - 2)/11
Let v(x) be the third derivative of -x**5/36 + 7*x**4/36 + 61*x**2. Let v(w) = 0. What is w?
0, 14/5
Determine d, given that -7*d - 9*d**2 + 5 - 5 - 939*d**3 + 934*d**3 - 5*d**4 + 4*d**4 - 2 = 0.
-2, -1
Let n = -352 + 356. Let o(a) be the second derivative of 0 - 7*a + a**3 + 1/10*a**5 + a**2 + 1/2*a**n. Factor o(j).
2*(j + 1)**3
Factor 95/2*i - 15 - 15/2*i**2.
-5*(i - 6)*(3*i - 1)/2
Let c(a) be the first derivative of a**4/20 - a**2/10 - 312. Let c(r) = 0. Calculate r.
-1, 0, 1
Let o(s) be the third derivative of -1/600*s**6 + 1/30*s**3 + 0*s + 13*s**2 - 1/300*s**5 + 1/120*s**4 + 0. Factor o(h).
-(h - 1)*(h + 1)**2/5
Let q(f) be the first derivative of -f**4/5 - 4*f**3 - 30*f**2 - 100*f - 120. Let q(s) = 0. Calculate s.
-5
Let l = -16839 - -16841. Suppose 2/15*b**3 - 26/5*b**l + 338/5*b - 4394/15 = 0. Calculate b.
13
Suppose 5 = k + 3. Let r be (k - (-12)/(-4)) + 3. Factor -2*u**r + 3*u - 2*u**4 - 4*u**3 + 4*u**4 + u.
2*u*(u - 2)*(u - 1)*(u + 1)
Factor 0 - 14/11*k**3 + 32/11*k**2 - 24/11*k + 2/11*k**4.
2*k*(k - 3)*(k - 2)**2/11
Factor 256*h + 4/7*h**5 - 64/7*h**4 - 1024/7 + 400/7*h**3 - 1216/7*h**2.
4*(h - 4)**3*(h - 2)**2/7
Suppose -2/5*o**5 + 2/5*o**3 