(o + 3)**2
Let b(m) be the first derivative of 5 - 1/24*m**4 - 1/24*m**3 + 0*m**2 - 11*m. Let r(p) be the first derivative of b(p). Let r(v) = 0. What is v?
-1/2, 0
Let w = 136 - 137. Let s be (w/3)/((-39)/13689). Find p, given that -s - p**3 - 5*p**2 - 7*p + 226 - 112 = 0.
-3, -1
Let h(g) be the second derivative of 1/16*g**4 + 0 - 3/8*g**3 - 4*g - 1/240*g**5 + 1/2*g**2. Let f(x) be the first derivative of h(x). Factor f(a).
-(a - 3)**2/4
Let g be (3 + 33/(-9))*1*15. Let d be (158/(-16) + 3/8)*g. Factor 100 - 7*m**2 + 2*m**2 - d.
-5*(m - 1)*(m + 1)
Let a = 322 + -309. What is x in -20*x**3 + a - 24 + 25*x + 95*x**2 + 5 + 6 = 0?
-1/4, 0, 5
Let t(o) be the first derivative of -5*o**2 - 1/12*o**4 + 17 + 0*o**3 + 0*o + 1/120*o**5. Let k(f) be the second derivative of t(f). Factor k(h).
h*(h - 4)/2
Let q = 9722 + -9722. Let n(w) be the third derivative of w**2 - 1/90*w**5 + 1/9*w**3 + 0 + q*w + 1/180*w**6 - 1/36*w**4. Suppose n(a) = 0. Calculate a.
-1, 1
Let m(a) be the second derivative of -a**4 - 70*a**3 - 3675*a**2/2 - 1015*a. Factor m(f).
-3*(2*f + 35)**2
Let t(m) be the first derivative of -9/19*m**2 - 16/19*m - 2/57*m**3 + 86. Factor t(d).
-2*(d + 1)*(d + 8)/19
Let h(i) = 66*i**2 - 536*i - 1056. Let j(b) = 17*b**2 - b. Let r(y) = -h(y) + 4*j(y). Suppose r(l) = 0. What is l?
-264, -2
Let w(s) = -s**3 + 6*s**2 + 5*s + 17. Let a be w(7). Factor -f**2 - 3*f**a + 2*f**2 + 8*f**2.
-3*f**2*(f - 3)
Let d(r) be the third derivative of 11*r**6/360 + 149*r**5/90 - 629*r**4/72 + 160*r**3/9 + r**2 + 1069*r + 2. Factor d(p).
(p - 1)**2*(11*p + 320)/3
Solve -121 + 2*c**2 - 57*c + 49*c + 79 = 0 for c.
-3, 7
Let u be 3/(-7)*(-2646)/567. Let q = 18 + -8. Factor q + 2 + 4*x**2 + 20*x - 2*x - u*x.
4*(x + 1)*(x + 3)
Let q(t) = -2*t**4 - 119*t**3 - 357*t**2 - 353*t - 125. Let x(p) = 5*p**4 + 356*p**3 + 1070*p**2 + 1060*p + 373. Let k(g) = -8*q(g) - 3*x(g). Solve k(r) = 0.
-1, 119
Let a(k) be the first derivative of 4*k**3/3 - 3308*k**2 + 2735716*k + 4652. Solve a(h) = 0 for h.
827
Let t(j) = 3*j**2 - 30*j + 39. Let o(p) = p**2 - 5*p + 1. Let l be o(4). Let i(r) = -66 - r + 32 + 33. Let v(x) = l*i(x) + t(x). Let v(g) = 0. Calculate g.
2, 7
Let r = 306/673 + 8137/1346. Find z such that -6*z**2 + 0 - 1/2*z**3 + r*z = 0.
-13, 0, 1
Let k(t) be the first derivative of -t**4/3 - 490*t**3/9 - 7564*t**2/3 - 7442*t/3 - 3017. What is l in k(l) = 0?
-61, -1/2
Factor -36*p**4 + 384 + 268*p + 33*p**4 + 104*p + 6*p**3 - 204 + 201*p**2.
-3*(p - 10)*(p + 1)**2*(p + 6)
Let d be (-2)/(-9) + (-22620)/(-27). Suppose d = -8*y + 838. Factor 18/7*q**2 + y - 3/7*q**3 - 27/7*q.
-3*q*(q - 3)**2/7
Let f(x) be the second derivative of -11/10*x**3 - 1/60*x**4 + 2 + 29*x + 17/5*x**2. Factor f(g).
-(g - 1)*(g + 34)/5
Let l be (1 - -4) + 110*14/35. Suppose -5*p = -2*n + l, 51*p - 54*p = -n + 27. Suppose 15/2*g**5 - 2*g - n*g**2 - 2*g**4 - 39/2*g**3 + 0 = 0. What is g?
-1, -2/5, -1/3, 0, 2
What is o in -25096281 - 3/4*o**5 - 1839/4*o**4 - 378201/4*o**3 - 26587113/4*o**2 - 25467162*o = 0?
-203, -2
Let l(z) be the second derivative of -z**4/12 - 61*z**3/6 - 999*z. Determine q so that l(q) = 0.
-61, 0
Let m(l) = 7*l**4 - 13*l**3 + 22*l**2 + 58*l - 108. Let q(k) = 24*k**4 - 38*k**3 + 66*k**2 + 173*k - 326. Let s(o) = 7*m(o) - 2*q(o). Factor s(v).
(v - 13)*(v - 2)**2*(v + 2)
Let m(a) be the second derivative of -a**6/140 + 19*a**5/70 + 169*a**2/2 + 56*a. Let c(p) be the first derivative of m(p). Factor c(g).
-6*g**2*(g - 19)/7
Let q(j) be the second derivative of -j**5/4 + 10*j**4 - 115*j**3/6 + 50*j + 2. Factor q(k).
-5*k*(k - 23)*(k - 1)
Suppose 21*k - 5*k = 2960. Let x = k + -182. Find o, given that 0 + 2/7*o**4 + 4/7*o + 10/7*o**2 + 8/7*o**x = 0.
-2, -1, 0
Let n be 5158/(-10) - ((-7 - -3) + 5). Let x = -516 - n. What is m in 0 + 2*m**2 - 8/5*m**3 - x*m + 2/5*m**4 = 0?
0, 1, 2
Let q = 120121/67644 + 15/7516. Solve -10/3 - q*w - 2/9*w**2 = 0.
-5, -3
Suppose -v - 4*g = 68, -g = -v - 206 + 228. Factor -3/7*s**v - 360*s - 1443/7*s**2 - 18*s**3 - 1200/7.
-3*(s + 1)**2*(s + 20)**2/7
Let k(v) = -v**2 - 781*v + 3930. Let z be k(5). What is x in -2*x + z - 1/2*x**3 - 5/2*x**2 = 0?
-4, -1, 0
Let z(o) = 3*o**4 - 102*o**3 + 40*o**2 - 111*o + 5. Let q(h) = 4*h**4 - 100*h**3 + 2*h**2 - 110*h + 6. Let f(r) = 5*q(r) - 6*z(r). Factor f(j).
2*j*(j - 1)**2*(j + 58)
Let f = -432134/3 + 144046. Suppose 8/3*i**2 - 2*i**4 + f*i**5 + 0*i - 4/3*i**3 - 2/3 = 0. What is i?
-1, -1/2, 1
Let s(k) = -k**3 + 8*k**2 - 7*k - 18. Let w be s(5). Find d, given that -140*d**2 - w*d**3 + 196 + 21*d**2 - 127*d**2 - 10*d**2 - 48*d**2 - 1022*d = 0.
-7, 2/11
Solve -5/2*g**2 + 0 - 1615/2*g = 0.
-323, 0
What is y in 416 + 3*y**2 - 215*y - 44 - 160*y = 0?
1, 124
Let y(p) be the second derivative of -p**7/231 - 518*p**6/33 + 5183*p**5/110 - 432*p**4/11 - 5847*p. What is s in y(s) = 0?
-2592, 0, 1
Suppose -3285/2*b - 1641/2 - 3/2*b**3 - 1647/2*b**2 = 0. Calculate b.
-547, -1
Let d be (-829851)/45 - 0 - (-4)/30. Let w = d - -350579/19. Let 230/19*l**3 - 250/19*l**5 - w*l**4 - 88/19*l + 16/19 + 4*l**2 = 0. Calculate l.
-1, 2/5
Let 2220 - 14785 - 65440*u + 12*u**5 - 9243 + 7249*u**3 + 3619*u**3 - 49116*u**2 + 16364*u**4 = 0. Calculate u.
-1363, -1, -2/3, 2
Let l(c) be the second derivative of 1/10*c**5 + c**4 + 75*c + 0 + 3*c**3 + 4*c**2. Factor l(j).
2*(j + 1)**2*(j + 4)
Solve 5*j**5 + 20*j**4 - 552*j**2 - 479*j**2 + 2098*j**2 - 145*j**3 - 497*j**2 - 450*j**2 = 0.
-8, 0, 1, 3
Let q(h) be the third derivative of 1/84*h**5 - 3/14*h**3 + 0 + 1/840*h**6 + 25*h + 1/56*h**4 + h**2. Factor q(c).
(c - 1)*(c + 3)**2/7
Suppose 12386*m = 3*n + 12383*m + 12, 2*n = 5*m - 20. Factor 0 + 5*t**3 + 9*t**2 + 1/3*t**5 - 11/3*t**4 + n*t.
t**2*(t - 9)*(t - 3)*(t + 1)/3
Let q(b) be the first derivative of 20/3*b**3 + 5/2*b - 49 + 35/8*b**4 + 5/24*b**6 + 3/2*b**5 + 45/8*b**2. Factor q(l).
5*(l + 1)**4*(l + 2)/4
Let g(c) be the second derivative of -c**4/6 + 131*c**3/3 - 258*c**2 - 2760*c. What is f in g(f) = 0?
2, 129
Let w(t) be the third derivative of -t**7/1785 - 4*t**6/255 + 101*t**5/510 - 7*t**4/17 + 8210*t**2. Solve w(i) = 0.
-21, 0, 1, 4
Let r(b) = -7*b**3 + 16*b**2 - 75*b - 147. Let x(u) = 38*u**3 - 84*u**2 + 376*u + 736. Let j(w) = -16*r(w) - 3*x(w). Factor j(v).
-2*(v - 6)*(v + 2)*(v + 6)
Let b be (39/26)/((-6)/(-28)). Let f be (b/70*9)/(6/5). Factor f*k**2 - 3 + 3*k - 3/4*k**3.
-3*(k - 2)*(k - 1)*(k + 2)/4
Let l(y) be the second derivative of -y**6/225 - 13*y**5/30 - 87*y**4/5 - 1836*y**3/5 - 21384*y**2/5 + y + 1904. Factor l(o).
-2*(o + 11)*(o + 18)**3/15
Factor -5920*u**2 - 1340 - 5923*u**2 + 355*u - 5919*u**2 + 17757*u**2.
-5*(u - 67)*(u - 4)
Let d(b) be the first derivative of -b**6/15 + 42*b**5/25 - 36*b**4/5 - 288*b**3/5 - 723. Suppose d(i) = 0. What is i?
-3, 0, 12
Let y(l) be the second derivative of -7*l + 0 + 1/3*l**4 - 1/6*l**3 + 3/20*l**5 - l**2. Find s, given that y(s) = 0.
-1, 2/3
Suppose 13*p - 980 = -p. Let g(q) = -3*q + 75. Let s be g(0). Find l, given that 33 + p + 5*l**3 + s*l - 44 + 66 - 45*l**2 = 0.
-1, 5
Let z be 765/36 - ((-15)/(-12))/((-10)/(-80)). Find g, given that z - 25/4*g**2 + 5/4*g**3 + 15/4*g = 0.
-1, 3
Let z(w) be the first derivative of 23*w**4/10 + 306*w**3/5 + 417*w**2/5 - 38*w/5 + 927. Solve z(x) = 0.
-19, -1, 1/23
Let x(o) = 37*o**2 - 288*o + 644. Let r(u) = 4*u**2 + 4*u. Let i(m) = 18*r(m) - 2*x(m). Solve i(j) = 0 for j.
2, 322
Let b(h) be the second derivative of h**8/6720 - h**7/280 + 7*h**6/360 + 9*h**4/2 - 7*h - 4. Let s(f) be the third derivative of b(f). Factor s(v).
v*(v - 7)*(v - 2)
Let 1/2 - 5/4*k**4 - 11/4*k + 11/4*k**3 + 3/4*k**2 = 0. What is k?
-1, 1/5, 1, 2
Let a = -510 - -510. Let n(z) be the third derivative of 1/2*z**4 + 1/40*z**6 + 0*z**3 + 0*z + a + 21*z**2 - 1/5*z**5. Factor n(d).
3*d*(d - 2)**2
Let j = -4171 + 12515/3. Let l(a) be the second derivative of -9*a + 0 - 4/3*a**4 + 0*a**2 + j*a**3 - 1/5*a**6 + 19/20*a**5. Find s such that l(s) = 0.
0, 1/2, 2/3, 2
Let g(c) = c - 5. Let r(u) = u**2 - 79. Let l(v) = -21*g(v) + 3*r(v). Factor l(n).
3*(n - 11)*(n + 4)
Factor n**3 - 5*n**3 - 7*n**5 + 9*n**5 - 2*n**4 + 8*n**2 - n**5.
n**2*(n - 2)**2*(n + 2)
Factor -1116*v - 1 + 10*v**2 - 227 - 220.
2*(v - 112)*(5*v + 2)
Let b(c) be the second derivative of -c**5/4 + 655*c**4/3 + 5270*c**3/3 + 5280*c**2 + 295