, 1
Let b(c) be the third derivative of 0*c - 2/525*c**7 - 3/50*c**5 + 6 + 3/100*c**6 - 1/60*c**4 + 1/5*c**3 + c**2. Suppose b(a) = 0. What is a?
-1/2, 1, 3
Let h(x) be the third derivative of x**6/30 - 11*x**5/15 - 70*x**4/3 - 152*x**3 + 508*x**2 - 5. Let h(a) = 0. Calculate a.
-6, -2, 19
Let o(i) = i**3 + 24*i**2 + 23*i + 4. Let z be o(-23). Suppose -19*g + 28 = l - 14*g, 5*l = -g + 20. Factor 9/2*h**l + 1/2*h**5 + 0 - 5/2*h**z + h - 7/2*h**2.
h*(h - 2)*(h - 1)**3/2
Factor -4/3*a**2 + 88/3*a + 0.
-4*a*(a - 22)/3
Let g = -1050 + 582. Let l be (g/(-4290))/((-6)/(-10)). Determine i so that 4/11*i**3 + l - 6/11*i**2 + 0*i = 0.
-1/2, 1
Suppose -7*x + 17 = -q, -4*x + 5*q - 7 = 1. Let f(j) be the third derivative of 0*j + 0 + 125/36*j**5 + 2/9*j**x + 13*j**2 + 25/18*j**4. Factor f(d).
(25*d + 2)**2/3
Let m(w) be the third derivative of -31*w**2 - 1/12*w**5 - 1/40*w**6 + 0*w + 0*w**3 + 0 - 1/24*w**4 + 3/70*w**7. Factor m(j).
j*(j - 1)*(3*j + 1)**2
Let h(u) = 2740*u**3 - 427305*u**2 + 243855*u - 34715. Let q(p) = 249*p**3 - 38846*p**2 + 22168*p - 3156. Let s(v) = 4*h(v) - 45*q(v). Let s(l) = 0. What is l?
2/7, 158
Let q be (3/(-21))/((-2)/126). Suppose 0 = -51*h + q*h. Find d such that h - 2/7*d**2 - 2/7*d**3 + 4/7*d = 0.
-2, 0, 1
Let s be (-518)/7*-1 - 4/(-1). Let j be s/7*1/2 + -5. Factor 0*z + 0 - 4/7*z**4 + 3/7*z**5 + 0*z**2 - j*z**3.
z**3*(z - 2)*(3*z + 2)/7
Let -52/5 + 24/5*l - 1/5*l**4 + 53/5*l**2 - 24/5*l**3 = 0. What is l?
-26, -1, 1, 2
Let c(w) be the second derivative of w**6/2 + 4899*w**5/20 - 3939*w**4/4 + 2959*w**3/2 - 987*w**2 - 5736*w. What is u in c(u) = 0?
-329, 2/5, 1
Let a(b) = b**3 + 8*b**2 - 246*b + 3. Let l be a(-16). Let c = l - 1859. Solve 6*d**2 - 1/2*d**3 - 24*d + c = 0 for d.
4
Suppose 3598*x = 3618*x. Let a(i) be the second derivative of 1/39*i**4 + 0 + 0*i**3 + 1/65*i**6 + i + x*i**2 - 7/130*i**5. Let a(u) = 0. What is u?
0, 1/3, 2
Suppose 4*w = j + 104, -j + 62 = 4*w - 42. Suppose -4*s + w = 5*q, 2 + 10 = 3*s. Solve 8*m - 13/2*m**3 + 2 + 9/2*m**q - 3/2*m**5 - 13/2*m**4 = 0 for m.
-2, -1, -1/3, 1
Let i(c) be the first derivative of -345*c**4/4 - 2060*c**3/3 - 3045*c**2/2 + 90*c + 3021. Factor i(a).
-5*(a + 3)**2*(69*a - 2)
Factor 256/9*m - 130/3 + 22/9*m**2.
2*(m + 13)*(11*m - 15)/9
Let m(d) be the second derivative of 2/3*d**4 + 71*d - 4/5*d**5 - 1/3*d**6 + 0*d**2 + 0*d**3 + 0. Determine x, given that m(x) = 0.
-2, 0, 2/5
Let h(b) be the first derivative of b**4/144 + 7*b**3/72 + b**2/4 + 23*b + 69. Let z(l) be the first derivative of h(l). Find q, given that z(q) = 0.
-6, -1
Let j(u) be the second derivative of -u**5/40 - 131*u**4/24 - 1178*u**3/3 - 6727*u**2 - 5*u + 568. Solve j(t) = 0 for t.
-62, -7
Let p be (-10)/(1 - 395/405). Let x be (-6)/(-4)*p/(-180). Determine a so that -33/4*a**2 + 51/8*a - 3/2 + x*a**3 = 0.
4/9, 1
Let c(r) be the first derivative of 8/15*r**3 - 1/25*r**5 - 6/5*r**2 + 0*r - 144 + 1/20*r**4. Solve c(v) = 0.
-3, 0, 2
Suppose -6367248 - 3/4*d**3 - 459*d**2 - 93636*d = 0. What is d?
-204
Suppose -668*b - 42*b + 2786 = 1366. Let m = 446/99 + -34/9. Factor -2/11*c**3 + 0 - 6/11*c + m*c**b.
-2*c*(c - 3)*(c - 1)/11
Let c be ((-2)/(-14))/(795/371). Let q(g) be the third derivative of 0*g + 0 - 1/6*g**4 - 4*g**2 - c*g**5 + 0*g**3. Suppose q(h) = 0. What is h?
-1, 0
Let l(r) be the second derivative of -9*r**5/20 + 391*r**4/4 - 65*r**3 - 458*r. Determine s, given that l(s) = 0.
0, 1/3, 130
Let q be (-25)/170*(-143)/(-130). Let h = 10/17 - q. What is g in h*g**4 + 3/2*g**3 + 0 + 0*g + 3/4*g**2 = 0?
-1, 0
Let s(q) = -10*q**4 + 730*q**3 + 2230*q**2 + 2260*q + 760. Let t(k) = 5*k**4 - 365*k**3 - 1117*k**2 - 1131*k - 380. Let o(n) = 2*s(n) + 5*t(n). Factor o(u).
5*(u - 76)*(u + 1)**3
Let i be (753060/(-539))/(-163)*945/22. Factor -i - 2/11*u**4 - 2160/11*u - 108/11*u**2 + 48/11*u**3.
-2*(u - 15)**2*(u + 3)**2/11
Let a = 16069 - 16058. Let f(z) be the first derivative of 3/5*z**5 + 25*z**3 + a + 0*z + 15/2*z**4 + 0*z**2. Let f(m) = 0. What is m?
-5, 0
Let f be 90*((-36)/9 - (-1056)/252). Determine o, given that -116/7*o - f + 4/7*o**2 = 0.
-1, 30
Let u(h) be the third derivative of h**5/90 + 343*h**4/18 + 117649*h**3/9 - 1515*h**2. Factor u(g).
2*(g + 343)**2/3
Let i be (3 - 8) + (9 - 92322/23085). Let j = 30766/17955 + i. Factor -18/7 - 2/7*w**2 + j*w.
-2*(w - 3)**2/7
Let c(a) = -6*a**3 - a**2 - 2*a - 1. Let g be c(-1). Let r be 44 + -3*(-4)/g. Find i, given that 3 - 41*i + 3*i**2 - r*i + 81*i = 0.
1
Let m(q) = 3*q + 19. Let a be m(15). Let z = a - 58. Suppose 15*k + 10*k**4 - 3 - 6*k - 3*k**5 - z*k**2 - 6*k**3 + 0*k**4 - k**4 = 0. Calculate k.
-1, 1
Let k(t) be the third derivative of -t**8/2184 + 3*t**7/455 - t**6/52 + 7*t**5/390 - 2560*t**2. Solve k(c) = 0 for c.
0, 1, 7
Let l = -10133 - -30815/3. Let h be (575/552)/((-15)/(-348)). Find f, given that 11/3*f**4 - 1/6*f**5 + l*f + 76/3*f**2 - h*f**3 + 256/3 = 0.
-1, 8
Suppose 21 + 0 = 7*y. Let 625*t**2 + 120*t - 220*t + 1 + y = 0. What is t?
2/25
Let x(q) = 3*q**3 + 6*q**2 - 113*q - 390. Let t(f) = -25*f**3 - 48*f**2 + 929*f + 3119. Let p(i) = -6*t(i) - 51*x(i). Find a such that p(a) = 0.
-7, 8
Let l(m) be the first derivative of 4*m**3 + 18*m**2 - 3/5*m**5 - 9/4*m**4 + 0*m + 186. Let l(v) = 0. What is v?
-3, -2, 0, 2
Let n be 1/(-17) - (-3107)/(-3536). Let h = n - -331/80. Find x, given that -6/5*x**4 + 0 + h*x**3 + 4/5*x - 14/5*x**2 = 0.
0, 2/3, 1
Let c be 3*(-52)/48 - -2*2. Let y(x) be the first derivative of 8/5*x**5 + c*x**4 - 4*x**3 - 1/2*x**6 - 2*x**2 + 14 + 0*x. Find v such that y(v) = 0.
-1, -1/3, 0, 2
Let o(f) be the first derivative of f**4/40 + f**3/2 + 63*f**2/20 + 49*f/10 + 290. Factor o(i).
(i + 1)*(i + 7)**2/10
Let b = -1985 - -1985. Let i(o) be the third derivative of 0*o + 0 + b*o**3 + 1/60*o**5 + 41*o**2 - 1/2*o**4. Determine r, given that i(r) = 0.
0, 12
Let j = -14825/2 - -74139/10. Factor -6/5 - 1/5*w**2 - j*w.
-(w + 1)*(w + 6)/5
Let i = 11756 + -11752. Let w(z) be the first derivative of 16*z**2 - 33 + 0*z - z**i - 28/3*z**3. Suppose w(o) = 0. What is o?
-8, 0, 1
Let a(c) = 70*c**4 - 45*c**3 - 32*c**2 + 45*c + 52. Let h(q) = -39*q**4 + 23*q**3 + 16*q**2 - 23*q - 27. Let r(k) = -10*a(k) - 18*h(k). Factor r(u).
2*(u - 1)*(u + 1)**2*(u + 17)
Let o be ((-204)/(-153))/((-2)/534). Let x = 358 + o. Solve 8/17*p + 0 - 2/17*p**x = 0.
0, 4
Let w = -85 + 88. Solve 6*n**3 - 24*n**2 + 4*n**3 - 108 + 4*n**w + 36*n + 81*n**2 + n**4 = 0 for n.
-6, -3, 1
Let v = -9819 - -9819. Let m(n) be the second derivative of 0 + 0*n**3 + 0*n**2 + 2/9*n**4 + 33*n + v*n**5 - 1/45*n**6. Solve m(b) = 0.
-2, 0, 2
Let p = -306314 + 306318. Factor 46/3*c**2 - 24 + 2/3*c**p - 6*c**3 - 2*c.
2*(c - 4)*(c - 3)**2*(c + 1)/3
Let d = 2297/145 - 413/29. Factor 12/5*q**3 - 54/5*q + 34/5*q**2 + d.
2*(q - 1)*(q + 4)*(6*q - 1)/5
Let a(v) = -234*v - 38374. Let i be a(-164). Factor 0 + 2/13*o**3 + 200/13*o - 40/13*o**i.
2*o*(o - 10)**2/13
Let q(k) be the third derivative of 0*k + 1/120*k**6 - 2/3*k**3 - 1/6*k**4 - 2*k**2 + 1/60*k**5 + 23. Factor q(z).
(z - 2)*(z + 1)*(z + 2)
Let s(n) = 13*n**2 + 3378*n - 498. Let h be s(-260). Factor 121/4 + 4*q**2 + h*q.
(4*q + 11)**2/4
Let v(m) = 5*m**3 - 1210*m**2 - 4005*m + 15. Let u(g) = -g**3 + 173*g**2 + 572*g - 2. Let w(i) = 15*u(i) + 2*v(i). Factor w(b).
-5*b*(b - 38)*(b + 3)
Let b(t) = -5040*t + 60480. Let f be b(12). Solve 0 + 4/7*w**2 - 6/7*w**3 + 2/7*w**4 + f*w = 0 for w.
0, 1, 2
Suppose 122/13*t + 34/13*t**2 - 122/13*t**3 - 40/13 + 6/13*t**4 = 0. What is t?
-1, 1/3, 1, 20
Factor 16/3*z**2 + 32/9*z - 4/3*z**4 + 0 + 2/9*z**3 + 2/9*z**5.
2*z*(z - 4)**2*(z + 1)**2/9
Let u = -325 - -327. Let w(s) = s**5 + 4*s**3 - 3*s. Let z(f) = -3*f**5 - 8*f**3 - f**2 + 6*f + 1. Let d(r) = u*z(r) + 5*w(r). Solve d(b) = 0.
-2, -1, 1
Let l = -2055 + 1419. Let f = l - -638. Factor y**f + 1/2*y + 1/2*y**3 + 0.
y*(y + 1)**2/2
Let u(g) be the first derivative of -2*g**3/33 - 7*g**2/11 - 20*g/11 - 1239. Suppose u(z) = 0. Calculate z.
-5, -2
Let l be (126/819)/(9/78*4). Let f(w) be the second derivative of w**2 + 23*w - l*w**3 + 1/10*w**5 + 0 - 1/6*w**4. Suppose f(b) = 0. Calculate b.
-1, 1
Let x(b) be the second derivative of -b**5/45 + 4*b**4/27 + 10*b**3/3 + 19*b + 11. Let x(s) = 0. What is s?
-5, 0, 9
Suppose -237 = -3*r - 7*k + 12*k, 5*r - k = 373. Deter