126 + -124. Let f(g) = h*l(g) + r*b(g). Find s such that f(s) = 0.
-5, 0
Let j(m) = -4*m**2 - 7*m. Suppose 14*h - 67 = 3. Let q(p) = 20*p**2 + 32*p. Let a(i) = h*q(i) + 24*j(i). Factor a(y).
4*y*(y - 2)
Let l = -231814/1005 + 692/3. Let b = l + 3344/1005. Factor -4/9 + b*h**2 + 26/9*h.
2*(h + 1)*(15*h - 2)/9
Let s(u) be the first derivative of 4*u**3/3 - 614*u**2 - 4195. Suppose s(h) = 0. Calculate h.
0, 307
Let v be 3/(-18)*-5*6. Factor -6*a**4 - 199*a**5 + 6*a**2 - 202*a**v + 404*a**5 - 3*a.
3*a*(a - 1)**3*(a + 1)
Let v(z) be the second derivative of -5/12*z**4 + 0*z**2 + 6*z + 5 + 5/2*z**3. Solve v(y) = 0.
0, 3
Let j(q) be the third derivative of 128*q**7/105 - 124*q**6/15 + 411*q**5/20 - 595*q**4/24 + 49*q**3/3 - 13*q**2 - 122. What is f in j(f) = 0?
7/16, 1, 2
What is x in -1856*x**2 + 18*x**3 + 70*x**3 - 2644*x - 1980*x - 2900*x**2 + 220 = 0?
-1, 1/22, 55
Suppose -494*a = -497*a - 48. Let i be 4*4/a + 3. Factor 2/11*b**i - 4/11*b + 2/11.
2*(b - 1)**2/11
Let v(a) = a**2 - 30*a + 81. Suppose -h + 14 = -5*y + 145, -4*y + 4*h = -92. Let z be v(y). Determine u, given that 1/8*u - 1/8*u**2 + z = 0.
0, 1
Let g(m) = -m. Let p(y) = y**3 - 8*y**2 + 7*y - 2. Let o be p(7). Let u be g(o). Find k such that 3*k**5 - 14*k**2 - u*k**5 + 15*k**3 + 5*k**2 - 7*k**4 = 0.
0, 1, 3
Let i(f) be the first derivative of 47 - 3*f - 9/5*f**2 - 1/5*f**3. Factor i(v).
-3*(v + 1)*(v + 5)/5
Let t(p) = p**2 + 3*p - 4. Let m(s) = 22*s + 29*s - 11 + 3*s**2 - 42*s. Let h(l) = -6*m(l) + 17*t(l). Find c such that h(c) = 0.
-2, -1
Let y(z) be the second derivative of -z**6/30 - 23*z**5/10 - z - 711. Factor y(q).
-q**3*(q + 46)
Let o be ((-18)/(-14))/3 + 126/49. Factor -4 + 17 - 13 - 12 - 2900*x**2 + 2500*x**o + 416*x - 4.
4*(x - 1)*(25*x - 2)**2
What is y in 2/7*y**5 + 12/7*y**3 + 20/7*y**4 - 64/7*y**2 - 36/7 - 94/7*y = 0?
-9, -1, 2
Let n(x) be the second derivative of x**4/12 - 469*x**3/3 + 219961*x**2/2 - 53*x + 1. Factor n(o).
(o - 469)**2
Suppose -4 = 7*n + 19*n - 56. Let v(r) be the third derivative of 0*r + 0 + 18*r**n + 5/6*r**4 - 1/12*r**5 - 10/3*r**3. Let v(h) = 0. Calculate h.
2
Let y be -6*38020/120 - 0/2. Let p = y + 1901. Solve 0*z + 0*z**4 + 0 - 1/6*z**3 + p*z**2 + 1/6*z**5 = 0 for z.
-1, 0, 1
Suppose -70*d + 122 = -179 + 301. Factor 57/2*o**2 + 30*o - 3/2*o**3 + d.
-3*o*(o - 20)*(o + 1)/2
Let u(o) be the second derivative of o**4/6 - 89*o**3/3 - 90*o**2 - 399*o - 1. Factor u(i).
2*(i - 90)*(i + 1)
Let b be (-1324946)/(-120) + (-7542)/(-216) + -35 + (-2)/15. Suppose 243/2*c**4 + 442799*c**2 - 12937917/2*c - 13845841/2 - b*c**3 - 1/2*c**5 = 0. Calculate c.
-1, 61
Factor 1/4*h**2 + 25 - 29/4*h.
(h - 25)*(h - 4)/4
Let a(r) be the second derivative of -r**8/13440 - r**7/1680 - r**6/720 - 5*r**4/12 - r**2/2 - 3*r - 2. Let s(x) be the third derivative of a(x). Factor s(z).
-z*(z + 1)*(z + 2)/2
Let n(p) = 10*p**3 - 25*p**2 - 35*p. Let v(z) = 5*z**3 - 13*z**2 - 18*z. Let f = -26 + 28. Let l(y) = f*n(y) - 5*v(y). Let l(t) = 0. Calculate t.
-1, 0, 4
Let d(o) be the first derivative of o**6/2520 - 3*o**5/280 + o**4/12 + 26*o**3 + 30. Let t(i) be the third derivative of d(i). Factor t(v).
(v - 7)*(v - 2)/7
Let m = -4039621/11 - -367239. Suppose -4/11 + 12/11*c**2 + 2/11*c + 6/11*c**5 - m*c**3 - 8/11*c**4 = 0. Calculate c.
-1, -2/3, 1
Let f(z) be the first derivative of 5/3*z**2 - 4*z - 26 + 2/9*z**3. Suppose f(t) = 0. Calculate t.
-6, 1
Let j be (1625/(-273))/25*72/(-20). Find i such that 3/7*i**4 - 3/7 + 0*i**2 + j*i**3 - 6/7*i = 0.
-1, 1
Let v(s) = 16*s + 225. Let c be v(21). Let m = 3929/7 - c. Find o, given that -m*o + 0 - 2/7*o**2 = 0.
-1, 0
Let t(h) = -20*h**2 + 13*h + 61*h**2 + 7 - 43*h**2. Let g be t(7). Let 0 + 6/5*c**2 + g*c - 2/5*c**3 = 0. Calculate c.
0, 3
Suppose x - 1 = v, -3*v - 13*x = -9*x - 4. Let f(l) be the second derivative of -6*l + 3*l**2 - 5/12*l**4 + 13/6*l**3 + v. Solve f(u) = 0 for u.
-2/5, 3
Let w be (2/(-6))/(9/45279*3). Let q = w + 1123/2. Suppose -25/6*p**2 - 1/3 + q*p = 0. What is p?
1/5, 2/5
Suppose -72*s + 18 = -3*h - 76*s, 3*h - 3*s - 24 = 0. Solve 0*v + 0 + 1/6*v**h = 0.
0
Let z be (9/(-2))/((-18)/(-4) - (-565 + 571)). Suppose -19/7*s**2 + 100/7 + 80/7*s + 1/7*s**z = 0. Calculate s.
-1, 10
What is y in 19/5*y + 4 - 2/5*y**2 - 1/5*y**3 = 0?
-5, -1, 4
Determine x, given that -6728/3 + 377/3*x + 50/3*x**2 + 1/3*x**3 = 0.
-29, 8
Let a(x) = 2*x**2 - 2*x + 26. Let y be a(0). Suppose 0 = 4*s + 2*g - 5*g - y, 5*g + 15 = s. Factor 5*u**s - 2*u**2 - 3*u**2 + 5*u**2 - 5*u**3.
5*u**3*(u - 1)*(u + 1)
Let x(c) = 41*c + 125. Let z be x(-3). Solve y**z + 34*y + 2*y**2 - 65*y - 66*y + 264 - 41*y = 0 for y.
2, 44
Let r(f) be the first derivative of -32 + 1/8*f**2 - 1/2*f + 1/12*f**3. Determine p so that r(p) = 0.
-2, 1
Factor -920 + 455*i + 5/2*i**2.
5*(i - 2)*(i + 184)/2
Factor 81/2 + 18*v**2 - 237/4*v + 3/4*v**3.
3*(v - 2)*(v - 1)*(v + 27)/4
Let t be (-3630)/594*3/(-15). Let c(y) be the first derivative of 1/3*y**4 + t*y**3 - 8 + 0*y - 1/2*y**2. Factor c(w).
w*(w + 3)*(4*w - 1)/3
Factor 0 + 108/5*t**2 + 54/5*t + 4*t**4 + 72/5*t**3 + 2/5*t**5.
2*t*(t + 1)*(t + 3)**3/5
Let h = -142 + 148. Let p be (10/(-15))/((-10)/h). Determine v so that 2/5*v**2 + p*v**5 - 2/5*v**4 - 2/5*v**3 + 0*v + 0 = 0.
-1, 0, 1
Let 1104/5*z + 3/5*z**2 + 101568/5 = 0. Calculate z.
-184
Determine v, given that -3*v**2 - 21*v**3 + 19 + 12*v - 67 + 7*v**2 + 17*v**3 + 20*v = 0.
-3, 2
Let h(s) = 5*s**4 + 18*s**3 + 4 - 4*s**3 - 12*s**3 - 7*s**2. Let g(o) = -o**4 + o**2 - 1. Let j(l) = -20*g(l) - 5*h(l). Factor j(v).
-5*v**2*(v - 1)*(v + 3)
Let n(q) be the first derivative of 5*q**3/18 + 265*q**2/12 - 275*q/3 + 2091. Factor n(a).
5*(a - 2)*(a + 55)/6
Let j(l) be the first derivative of -l**6/72 + 13*l**5/24 - 5*l**4/2 + 8*l**3 + 3. Let i(v) be the third derivative of j(v). Determine z, given that i(z) = 0.
1, 12
Let h(d) be the second derivative of -d**6/150 - d**5/100 + 31*d**4/60 - 71*d**3/30 + 21*d**2/5 + 2*d + 1209. Solve h(a) = 0 for a.
-7, 1, 2, 3
Factor 93/2*m**2 - 1173/2 - 2157/4*m - 3/4*m**3.
-3*(m - 46)*(m - 17)*(m + 1)/4
Let f(p) be the second derivative of 1/300*p**6 + 3/40*p**4 - 3/10*p**3 + 2*p - 21 + 0*p**2 + 1/25*p**5. Factor f(r).
r*(r - 1)*(r + 3)*(r + 6)/10
Let r(h) be the third derivative of h**5/160 + 191*h**4/32 + 36481*h**3/16 - 7102*h**2. Let r(v) = 0. Calculate v.
-191
Let h(w) be the third derivative of w**6/80 - w**5/2 + 17*w**4/4 - 16*w**3 - 1215*w**2. Factor h(j).
3*(j - 16)*(j - 2)**2/2
Let n(v) be the second derivative of -v**7/147 + 632*v**6/35 - 449352*v**5/35 - 2335*v. Factor n(k).
-2*k**3*(k - 948)**2/7
Let n(t) be the third derivative of t**8/1512 + 11*t**7/315 - 7*t**6/36 + 107*t**5/270 - t**4/3 + 365*t**2. Factor n(a).
2*a*(a - 1)**3*(a + 36)/9
Let x(s) be the first derivative of -4*s**5/5 - 11*s**4 + 56*s**3/3 + 18*s**2 + 2*s + 58. Let v(m) be the first derivative of x(m). Factor v(o).
-4*(o - 1)*(o + 9)*(4*o + 1)
Find q such that -2*q**4 + 9*q**2 - 3*q**2 + 4*q**3 + 21*q**2 - 80*q + 32 + 3*q**2 + 16*q = 0.
-4, 1, 4
Let x(q) = -8*q**2 - 13*q - 15. Let f = 21 + -16. Let i(k) = -9*k**2 - 12*k - 15. Let b(m) = f*i(m) - 6*x(m). Suppose b(n) = 0. Calculate n.
-5, -1
Let a(d) be the first derivative of d**4/42 - 5*d**3/21 - 2*d**2 - 26*d - 58. Let m(x) be the first derivative of a(x). Find c, given that m(c) = 0.
-2, 7
Suppose 0 = -7*s + 5*s + 4. Suppose -2*h - 4*t + 4 = -h, t - 4 = -h. Determine v so that -s*v - v**3 + 6*v**5 - 5*v**h - 83*v**2 + 88*v**2 - 3*v**5 = 0.
-1, 0, 2/3, 1
Suppose 3 + 153/4*u - 153/4*u**3 + 39/4*u**4 - 51/4*u**2 = 0. What is u?
-1, -1/13, 1, 4
Let m be (-4)/(-702)*27 + ((-96)/(-91))/8. Solve 16/7*o**2 - m*o**3 + 18/7*o + 0 = 0.
-1, 0, 9
Suppose 8*k + 51 = n, -459*n = -463*n - 3*k - 6. Factor 16/5 + 14/5*v**2 + 28/5*v + 2/5*v**n.
2*(v + 1)*(v + 2)*(v + 4)/5
Suppose 366*b - 317*b = 98. Let m(p) be the first derivative of 1/3*p**3 + 14 + 2*p**b + 4*p. Let m(s) = 0. What is s?
-2
Let f(b) be the first derivative of 0*b**4 + 1/120*b**6 + 15 + 0*b**3 + 0*b - 3*b**2 + 1/30*b**5. Let o(d) be the second derivative of f(d). Factor o(l).
l**2*(l + 2)
Let t = 1/4968 + 59611/24840. Find v, given that 1/5*v**2 + 11/5 - t*v = 0.
1, 11
Let k = -536769 + 6978001/13. Determine c, given that -2/13*c**3 + 10/13*c**2 + k*c - 48/13 = 0.
-2, 3, 4
Det