 102*g**3 + 81*g**2/4 - 2191. Find p such that q(p) = 0.
-1, -3/10, 0, 9
Let t(o) be the first derivative of 0*o**3 + 0*o - 5*o**4 + 5*o**5 - 5/6*o**6 - 80 + 0*o**2. Suppose t(h) = 0. What is h?
0, 1, 4
Let h(o) be the second derivative of -o**5/170 + 5*o**4/102 + 16*o**3/17 - 252*o**2/17 + 1911*o. Solve h(y) = 0.
-7, 6
Let n(q) be the third derivative of -q**6/30 - 23*q**5/15 + 20*q**4 + 216*q**3 - 5106*q**2. Let n(h) = 0. What is h?
-27, -2, 6
Factor -670/3*f + 1/6*f**3 - 224 - 166/3*f**2.
(f - 336)*(f + 2)**2/6
Let 62/5*h**3 - 283/5*h**2 + 432/5*h - 3/5*h**4 - 36 = 0. What is h?
2/3, 2, 3, 15
Let g(m) be the first derivative of -m**4/12 + 7*m**3/3 - 20*m**2 + 100*m/3 + 229. Factor g(w).
-(w - 10)**2*(w - 1)/3
Suppose -4*c - 3*g + 3 = 0, 7*c = -5*g + 25 - 19. Let h(z) be the second derivative of -25*z + 0 + 5/2*z**2 + 25/18*z**c + 5/18*z**4. Solve h(t) = 0 for t.
-3/2, -1
Factor 42677334/5*p + 37940149926/5 + 2/5*p**3 + 16002/5*p**2.
2*(p + 2667)**3/5
Factor -8 - 6/5*r**2 + 36/5*r - 1/5*r**3.
-(r - 2)**2*(r + 10)/5
Let j(p) = -7*p**3 - 8*p**2 + 59*p - 285. Let f(c) = 6*c**3 + 4*c**2 - 58*c + 284. Let o(k) = -5*f(k) - 4*j(k). Factor o(q).
-2*(q - 7)*(q - 4)*(q + 5)
Factor 2/7*m**4 + 1172/7*m + 390/7 + 396/7*m**3 + 168*m**2.
2*(m + 1)**3*(m + 195)/7
Let n(q) be the third derivative of 0 + 0*q**3 - 3*q - 1/3*q**5 + 5*q**2 + 0*q**4 + 1/48*q**6 + 1/12*q**7. Factor n(v).
5*v**2*(v - 1)*(7*v + 8)/2
Let s(o) be the first derivative of o**4/24 + 53*o**3/18 + 94*o**2/3 + 120*o + 1703. Factor s(p).
(p + 4)**2*(p + 45)/6
Let h = -7467 + 418155/56. Let j(p) be the third derivative of -1/280*p**6 + h*p**4 + 0 - 18*p**2 + 0*p + 0*p**3 - 1/70*p**5. Factor j(z).
-3*z*(z - 1)*(z + 3)/7
Let g be (-29)/(-2) + 4452/(-318). Let b(p) be the third derivative of 1/60*p**5 + 0*p + 0 + 1/6*p**4 - 2*p**2 + g*p**3. Find f such that b(f) = 0.
-3, -1
Let r(w) be the first derivative of -6/7*w - 2/21*w**3 - 1 + 1/14*w**4 - 5/7*w**2. Solve r(j) = 0 for j.
-1, 3
Let z(w) = -w**2 - w - 4. Let x(v) = 10*v**2 - 105*v + 305. Let s(j) = -x(j) - 5*z(j). Factor s(p).
-5*(p - 19)*(p - 3)
Let s(m) be the first derivative of m**5/10 - 34*m**4 + 3999*m**3 - 155682*m**2 - 5630499*m/2 - 12441. Factor s(a).
(a - 93)**3*(a + 7)/2
Let a be (-2)/(-6) - ((-236)/12 + -4). Let h = a + 0. Find b, given that -148*b**4 - 149*b**4 + 293*b**4 - h + 4*b**3 - 4*b + 28*b**2 = 0.
-2, -1, 1, 3
Let v = 199846/129 + 44382/43. Factor 4/3*k**2 + v + 352/3*k.
4*(k + 44)**2/3
Suppose 266 = 43*q + 40*q + 266. Factor -1/9*g**4 - 5/9*g**2 + 0 + q*g + 2/3*g**3.
-g**2*(g - 5)*(g - 1)/9
Let f(w) be the second derivative of -w**5/60 + 2*w**4/9 + 17*w**3/6 - 33*w**2 - 2*w - 2149. Solve f(i) = 0 for i.
-6, 3, 11
Let j(m) = -m**2 + 13*m + 71. Let w be j(-4). Let q(l) be the first derivative of 5/12*l**2 - 9 + 5/18*l**w - 5*l. Factor q(u).
5*(u - 2)*(u + 3)/6
Factor 20*i + 0 - 106/11*i**2 - 2/11*i**3.
-2*i*(i - 2)*(i + 55)/11
Let o be ((-4)/6)/((-2226)/22896). Let m(z) be the second derivative of 0 - 20/7*z**3 + 3/7*z**4 + o*z**2 - 1/70*z**6 + 41*z + 3/70*z**5. Factor m(j).
-3*(j - 2)**3*(j + 4)/7
Let z(c) = -c**3 + c**2 - c + 1. Let v(f) = 8*f**3 + 777*f**2 - 205923*f + 17984719. Let a(j) = 2*v(j) + 18*z(j). Determine b, given that a(b) = 0.
262
Suppose -8*f + 4*f - 44 = -4*g, 5*g - f - 59 = 0. Factor -23*a**3 + 16*a + 65*a**2 - 12*a + 5*a**4 + 11*a - g*a**3 - 90 + 0*a**3.
5*(a - 3)**2*(a - 2)*(a + 1)
Let v be (-2)/(-12) - ((-1374)/(-36) - 43). Factor 0 - 2/7*w**2 - 2/7*w**3 + 2/7*w**v + 2/7*w**4 + 0*w.
2*w**2*(w - 1)*(w + 1)**2/7
Let p = -2805 - -2807. Let z(q) be the second derivative of 5/2*q**4 + 21*q - 25*q**3 - 1/10*q**5 + 125*q**p + 0. Determine n so that z(n) = 0.
5
Let r(c) be the first derivative of -c**3/12 + 103*c**2/8 + 105*c/2 + 1887. Determine b so that r(b) = 0.
-2, 105
Determine w so that -88*w**4 + 20*w**2 - 120*w**3 - 24*w**3 - 44*w**4 - 52*w**5 + 84*w**5 = 0.
-1, 0, 1/8, 5
Let z(n) be the first derivative of n**3/5 + n**2/5 - 8*n - 456. Let z(c) = 0. Calculate c.
-4, 10/3
Let 0 + 812*g**2 - 676/5*g - 24/5*g**3 = 0. What is g?
0, 1/6, 169
Let a(r) be the first derivative of -r**6/12 - 2*r**5/5 + 5*r**4/8 + 10*r**3/3 - r**2 - 8*r - 1832. Let a(u) = 0. Calculate u.
-4, -2, -1, 1, 2
Factor -2/3*d**3 - 5/3*d**2 + 0 - 2/3*d.
-d*(d + 2)*(2*d + 1)/3
Solve -606/5*b**2 - 64/5*b**3 - 2/5*b**4 + 392 - 1288/5*b = 0 for b.
-14, -5, 1
Let m(g) = g**3 - 21*g**2 + g + 4. Let u be m(21). Suppose -14*x + u = -9*x. Solve 4*l - x*l**2 + l - l + l = 0.
0, 1
Let t(s) = 30*s**2 + 3548*s - 1392. Let q(x) = 45*x**2 + 5330*x - 2088. Let c(i) = 5*q(i) - 8*t(i). Factor c(k).
-3*(k + 116)*(5*k - 2)
Let w = 27 - 23. What is l in -3*l**5 + 3*l**2 + 15*l**w - 6*l**2 - 9*l**2 - 18*l**3 + 24*l = 0?
-1, 0, 2
Let v(j) = 4*j**3 + 2*j**2 + 6*j - 9. Let g be v(2). Factor 16*b - 49*b**2 - g*b**2 - 3*b + 2*b + b + 76*b**3.
4*b*(b - 1)*(19*b - 4)
Factor -150*g + 1743*g**2 - 148*g - 3481*g**2 + 1740*g**2.
2*g*(g - 149)
Let u(j) be the first derivative of j**7/1680 - j**5/240 + j**3/48 - 25*j**2 - 28. Let n(x) be the second derivative of u(x). Factor n(m).
(m - 1)**2*(m + 1)**2/8
Suppose 5*f + 6 = -3*h, -330 + 321 = -4*h - f. Solve 8/7*j + 0 - 22/7*j**h - 6/7*j**4 - 16/7*j**2 = 0.
-2, 0, 1/3
Let j = 6744 - 6739. Let w(n) be the third derivative of -1/6*n**4 - 4/3*n**3 + 0 - 8*n**2 + 0*n + 1/15*n**j. Factor w(p).
4*(p - 2)*(p + 1)
Let n = -296 - -284. Let s(p) = p + 1. Let h(q) = 4*q**2 + 412*q + 10012. Let w(k) = n*s(k) + h(k). Determine f, given that w(f) = 0.
-50
Let s(g) be the third derivative of -26*g + 0*g**4 + 14/285*g**5 - 3/1064*g**8 + 0 + 4/57*g**6 + 2*g**2 + 0*g**3 + 17/665*g**7. Find w, given that s(w) = 0.
-2/3, 0, 7
Let t(b) be the second derivative of b**5/160 - 11*b**4/48 - 455*b**3/48 - 441*b**2/4 + 27*b + 78. Determine k, given that t(k) = 0.
-7, 36
Factor 2/7*z**2 + 60/7*z + 352/7.
2*(z + 8)*(z + 22)/7
Let l be (-147)/98*(10/30 + (-242)/14). Suppose 4 - 4*w**4 + 146/7*w**3 + l*w + 324/7*w**2 = 0. Calculate w.
-1, -1/2, -2/7, 7
Let j = -4772573/8 - -596575. Solve -25/8 - j*w**2 + 1/8*w**3 + 51/8*w = 0 for w.
1, 25
Let a(q) be the second derivative of 1/30*q**4 - 1/315*q**7 + 2/45*q**3 - 1/150*q**5 + 5 + 0*q**2 - 1/75*q**6 + q. Find z, given that a(z) = 0.
-2, -1, 0, 1
Let g = -1095/458 - -1120/229. Determine x, given that 1/2*x**5 + 0 + 3*x + 5/2*x**2 - 7/2*x**3 - g*x**4 = 0.
-1, 0, 1, 6
Let o(i) = i**4 - 18*i**3 + 27*i**2 + 320*i - 10. Let l(v) = -2*v**4 + 35*v**3 - 54*v**2 - 641*v + 22. Let w(h) = -10*l(h) - 22*o(h). Solve w(u) = 0.
-3, 0, 5, 21
Let l be (8/6)/2 + 2312/51. Let b = l - 18. Solve 14*w**3 + 5*w**5 - 8*w**4 - 12*w**4 - 20*w + b*w**2 + w**3 - 8*w**2 = 0.
-1, 0, 1, 2
Let q(u) = 2552*u - 1279*u - 9*u**2 - 1280*u + 8. Let y(s) = 4*s**2 + 3*s - 4. Let f(o) = -3*q(o) - 7*y(o). Factor f(h).
-(h - 2)*(h + 2)
Let 26875*m**3 - 1874*m**4 + 15*m**5 + 2360*m**4 - 18490*m**2 + 794*m**4 = 0. Calculate m.
-43, 0, 2/3
Suppose 4*d + 12 = 2*i, 0 + 1 = -i - 5*d. Determine t, given that -732 + i*t**3 - 6*t**2 + 732 + 2*t**4 = 0.
-3, 0, 1
Suppose 8*m - 5*m = 12. Suppose 6 = -x + 2*x - 4*a, m*x - a - 84 = 0. Factor -8*d**2 + d**2 + 3*d**5 + 36*d**3 - x*d**2 - 18*d**4 + 5*d**2.
3*d**2*(d - 2)**3
Let y(w) be the second derivative of -w**7/6300 + w**6/150 + 7*w**5/75 + w**4/2 - w**3/3 + 80*w. Let h(j) be the third derivative of y(j). Factor h(u).
-2*(u - 14)*(u + 2)/5
Let x(j) be the third derivative of 5*j**8/336 - 46*j**7/63 + 293*j**6/24 - 143*j**5/2 + 845*j**4/9 - 757*j**2. Let x(f) = 0. What is f?
0, 2/3, 4, 13
Let n(x) be the second derivative of 4*x**6/75 + 201*x**5/10 + 647*x**4/6 + 182*x**3 + 496*x**2/5 + 2170*x. Find l, given that n(l) = 0.
-248, -2, -1, -1/4
Let n be 731/(-6579) + (-138)/(-27). Factor -n*b**3 + 2/5*b - 23/5*b**2 + 0.
-b*(b + 1)*(25*b - 2)/5
Suppose 4*v = 2*p + 38, 5*v + p - 15 = -3*p. Suppose -4*d - 25 = -3*b + v, 5*d + 34 = 3*b. Solve -12*o + b*o**2 + 16/3 - 4/3*o**3 = 0.
1, 4
Suppose -349*w + 46*w - 111*w + 828 = 0. Solve 16/7*a**4 + 4*a**3 + 2/7*a + 0 + 2*a**w = 0.
-1, -1/2, -1/4, 0
Let f = 23 - 15. Suppose -2*r = -0*r - f. Factor -8*v**3 - 9*v - 6*v**3 + 4*v**2 + 9*v + 10*v**r.
2*v**2*(v - 1)*(5*v - 2)
Let q be (-11112)/1780 + 9/(-15) - -7. Let t = q - -361/534. Let -25/6*w - 5/2*w**3 + t + 35/6*w**2 