 0?
2, 7
Let l(q) be the third derivative of q**6/540 + q**5/10 + 17*q**4/36 + 25*q**3/27 + 1598*q**2. Determine n so that l(n) = 0.
-25, -1
Let k(d) = d**4 - 5*d**3 - 1. Let w(x) = 2*x**4 - 27*x**3 - 17*x**2 + 90*x - 3. Let f(t) = -6*k(t) + 2*w(t). Factor f(l).
-2*l*(l - 2)*(l + 5)*(l + 9)
Let f(i) be the third derivative of 2*i**7/105 + 161*i**6/30 + 1312*i**5/3 + 3200*i**4/3 - 3*i**2 - 59. Factor f(g).
4*g*(g + 1)*(g + 80)**2
Suppose 1/4*f**5 - f**3 + 0 - 15/4*f**4 + 0*f + 15*f**2 = 0. What is f?
-2, 0, 2, 15
Let w = 1126 - 1123. Let u(t) be the third derivative of 21*t**2 + 0*t**4 + 1/672*t**8 + 0 + 0*t**5 + 1/315*t**7 + 0*t + 1/720*t**6 + 0*t**w. Factor u(i).
i**3*(i + 1)*(3*i + 1)/6
Let f(m) be the second derivative of 19*m**7/63 - 46*m**6/9 - 163*m**5/10 - 106*m**4/9 + 28*m**3/9 + 2260*m. Suppose f(z) = 0. What is z?
-1, 0, 2/19, 14
Let r(k) be the first derivative of -k**5 - 5*k**4 + 5*k**3 + 35*k**2 + 40*k - 1308. Solve r(i) = 0 for i.
-4, -1, 2
Let t(x) be the second derivative of x**6/45 - 79*x**5/30 - 40*x**4/9 + 4310*x. Factor t(o).
2*o**2*(o - 80)*(o + 1)/3
Let v be (4/9)/(6/9)*(-117)/(-78). Factor 2/3*y + 1/3*y**2 - v.
(y - 1)*(y + 3)/3
Suppose 23*p + 440 = 3*p. Let f be 1/(-2 - -1 - p/12). What is v in -3/5*v**2 + 9/5 - f*v = 0?
-3, 1
Suppose 0 = -6*j + 8 + 22. Let d = 18 + -12. Solve -d + 2*a - j*a + 9 - 6*a**2 = 0.
-1, 1/2
Let h(v) be the first derivative of -15/2*v**4 - 1/2*v**6 + 3*v**5 + 10*v**3 + 1 + 3*v - 15/2*v**2. Factor h(f).
-3*(f - 1)**5
Let z(f) be the third derivative of -2*f**7/315 - f**6/90 + 7*f**5/15 + 41*f**4/18 + 40*f**3/9 - 4*f**2 + 5*f - 2. What is p in z(p) = 0?
-4, -1, 5
Suppose -6 = -2*k, -2*c + c + 23 = k. Factor c*f + f**2 + 0*f**2 + 0*f**2 + 52*f - 4*f**2 + 75.
-3*(f - 25)*(f + 1)
Let n = 7840 + -470399/60. Let k(a) be the second derivative of 0 + 1/30*a**3 - n*a**4 + 0*a**2 - 26*a. What is o in k(o) = 0?
0, 1
Let z(g) be the second derivative of g**4/6 - 105*g**3 - 316*g**2 - 5728*g. Factor z(w).
2*(w - 316)*(w + 1)
Let m(n) be the second derivative of 2*n**5/5 - 23*n**4/6 + 41*n**3/3 - 22*n**2 - 46*n - 7. Factor m(l).
2*(l - 2)*(l - 1)*(4*l - 11)
Find m, given that 0 - 1170/7*m**3 + 216/7*m - 250/7*m**5 + 1700/7*m**4 - 216/7*m**2 = 0.
-2/5, 0, 3/5, 6
Let p = 2017076 + -2017073. Factor -2/3*c**2 + 1 - 5/3*c - 1/3*c**4 - 1/3*c**5 + 2*c**p.
-(c - 1)**3*(c + 1)*(c + 3)/3
Let a(b) be the second derivative of -b**7/21 - b**6/15 + 9*b**5/5 + 26*b**4/3 + 40*b**3/3 + 2*b - 61. Factor a(n).
-2*n*(n - 5)*(n + 2)**3
Factor 280/13*s**2 + 2/13*s**3 - 750*s + 76500/13.
2*(s - 15)**2*(s + 170)/13
Let i(z) be the second derivative of -z**5/30 + 7*z**4/6 - 86*z**3/9 - 88*z**2 - 6364*z. Suppose i(d) = 0. What is d?
-2, 11, 12
Factor 28 + 21*q**2 + 359*q + 151*q + 139 - 32 + 9.
3*(q + 24)*(7*q + 2)
Suppose -3*p + h + 10 = 0, 8*h = p + 22*h + 54. Find m such that 0 - 6*m**p + 2/7*m**3 + 40/7*m = 0.
0, 1, 20
Let s(a) be the third derivative of a**7/4620 + a**6/495 + a**5/132 + 47*a**4/24 - a**3/6 + 80*a**2. Let c(o) be the second derivative of s(o). Solve c(u) = 0.
-5/3, -1
Let l(n) be the first derivative of 2*n**3/15 - 51*n**2/5 + 20*n - 1210. Factor l(i).
2*(i - 50)*(i - 1)/5
Let x(t) be the third derivative of -5*t**8/336 - 5*t**7/21 + 143*t**6/24 + 19*t**5 - 1275*t**4/2 - 2*t**2 - 14*t - 83. Solve x(p) = 0.
-17, -5, 0, 6
Let c(d) be the first derivative of 1/12*d**6 + d**2 - 13/6*d**3 + 175 + 15/8*d**4 - 7/10*d**5 + 0*d. Solve c(s) = 0.
0, 1, 4
Suppose -915*t - 472 + 5322 = -2407 - 1893. Determine a, given that 8/3 + t*a**3 - 112/9*a - 130/9*a**2 + 22/9*a**5 + 106/9*a**4 = 0.
-3, -2, -1, 2/11, 1
Factor t**4 + 5/3*t**2 + 23/9*t**3 + 1/9*t**5 + 0*t + 0.
t**2*(t + 1)*(t + 3)*(t + 5)/9
Factor 56*f**3 - 586*f**4 + 4*f**5 - 990*f**4 - 28*f**3 - 28*f**3.
4*f**4*(f - 394)
Suppose -7*t**3 + 228*t**2 - 1263*t**2 - 4*t**3 + 8*t**3 = 0. Calculate t.
-345, 0
Let -25*c**3 - 2*c**4 - 1299 - 6*c**4 + 787 - 704*c - 216*c**2 + 7*c**4 = 0. Calculate c.
-8, -1
Factor 236 - 75*i**2 - 4*i - 490 + 3*i**3 + 497 - 167*i.
3*(i - 27)*(i - 1)*(i + 3)
Let p(f) be the second derivative of -9*f**5/40 - 13*f**4/4 - 13*f**3 - 18*f**2 - 310*f. Let p(y) = 0. Calculate y.
-6, -2, -2/3
Suppose -224*k = 150*k - 10*k - 6552. Let y(l) be the first derivative of k + 8/5*l - 16/5*l**2 - 2/15*l**3 + 2/5*l**4. Factor y(j).
2*(j - 2)*(j + 2)*(4*j - 1)/5
Let l(w) be the second derivative of -w**5/600 + w**4/12 - 5*w**3/3 + 35*w**2 - 175*w + 1. Let g(p) be the first derivative of l(p). Factor g(q).
-(q - 10)**2/10
Let x(h) be the second derivative of h**4/7 - 76*h**3/21 - 26*h**2/7 + h - 88. Factor x(w).
4*(w - 13)*(3*w + 1)/7
Suppose -2266 = 7*p + 4146. Let v = -4579/5 - p. Find l such that 0 - v*l**2 + l = 0.
0, 5
Suppose 0*v - 2 = 2*v. Let h(j) = -4*j**2 + 4*j + 8. Let g(u) be the first derivative of -u**2/2 - u + 941. Let l(w) = v*h(w) - 4*g(w). What is i in l(i) = 0?
-1, 1
Let -86/9*l**5 + 172/9*l**2 + 82/9*l - 2/9 + 4/9*l**3 - 170/9*l**4 = 0. Calculate l.
-1, 1/43, 1
Let r(b) be the third derivative of -b**6/240 - 17*b**5/12 - 1927*b**4/12 - 3362*b**3 - 8400*b**2. Let r(x) = 0. What is x?
-82, -6
Find t, given that 45/2*t + 3/2*t**2 + 39 = 0.
-13, -2
Let w(v) be the second derivative of 3/7*v**2 + 2 + 0*v**4 - 3/14*v**3 + 3/140*v**5 + 9*v. Factor w(n).
3*(n - 1)**2*(n + 2)/7
Let y(c) = 2*c**3 - c - 2. Let f(z) = -21*z**3 - 178*z**2 + 7751*z + 16222. Let m(v) = -4*f(v) - 44*y(v). Let m(u) = 0. Calculate u.
-2, 90
Suppose 165/7*l**3 + 0 + 0*l + 81/7*l**2 + 87/7*l**4 + 3/7*l**5 = 0. Calculate l.
-27, -1, 0
Let x(f) be the first derivative of -3*f**5/35 - 1398*f**4/7 - 872344*f**3/7 - 5200560*f**2/7 - 10378800*f/7 - 660. Let x(m) = 0. What is m?
-930, -2
Let v = 333/50 + -979/150. Solve v*u**4 - 14/15*u**3 + 8/15 - 26/15*u + 2*u**2 = 0.
1, 4
Determine f, given that 994210*f**3 - 1387035*f**2 - 246579*f**3 - 1231900*f**2 - 11216*f - 12 + 126594*f**3 = 0.
-2/935, 3
Let j = -463240 - -463240. Factor j*h + 45/7*h**2 + 0 + 6/7*h**3 - 3/7*h**4.
-3*h**2*(h - 5)*(h + 3)/7
Let f(x) be the second derivative of 7/6*x**3 + 1/35*x**5 + 0 + 2*x - 1/14*x**4 + 1/168*x**6 + 0*x**2. Let t(v) be the second derivative of f(v). Factor t(n).
3*(n + 2)*(5*n - 2)/7
Let n(s) = 7*s**2 - 61*s - 181. Let c(g) = -51*g**2 + 426*g + 1269. Let r(p) = -5*c(p) - 36*n(p). What is o in r(o) = 0?
-19, -3
Solve 79707/2 - 3/8*c**3 + 1959/8*c**2 - 40098*c = 0.
1, 326
Let a be ((-6)/5 + (-7)/(-35))*-2. Suppose 2*j**2 - 27*j - 24 - 4*j**a + 11*j = 0. Calculate j.
-6, -2
Let b be 1/((-2)/(-14)*1). Factor -b*s**2 + 8*s**2 - 5*s - 4*s**2 - 21 - 19*s.
-3*(s + 1)*(s + 7)
Let q be 4/(-6) + (-4832)/(-48). Factor 3*c**3 - 4*c**3 - 4*c**3 - q - 5255*c + 4815*c - 320 - 125*c**2.
-5*(c + 2)**2*(c + 21)
Let g = -44 - -40. Let v be -1*4/3*6/g. Solve 293 - 4*y - 293 - 6*y**v + 2*y**4 = 0 for y.
-1, 0, 2
Let -535*o**4 + 231*o**5 + 364 + 1111*o - 2686*o**3 - 157 + 2014*o**2 - 256*o**5 - 86 = 0. Calculate o.
-11, -1/5, 1
Let x = 15/4 + -577/156. Let r(s) be the first derivative of -x*s**3 - 15 + 8/13*s + 0*s**2. Solve r(d) = 0.
-2, 2
Let v = 2/17729 + 123989/1010553. Let b(u) be the second derivative of 46*u - 9/190*u**5 - 5/38*u**4 - 1/19*u**2 + 0 - v*u**3. Suppose b(x) = 0. What is x?
-1, -1/3
Let y(p) be the first derivative of p**4/8 + 324*p**3 + 314928*p**2 + 136048896*p + 3090. Let y(v) = 0. What is v?
-648
Let l = 1112 + -1092. Let s be (-3)/(-2 + 10/l). Factor 4/5*m + 8/5 - 32/5*m**s + 4*m**3.
4*(m - 1)**2*(5*m + 2)/5
Let k(g) be the first derivative of 71 - 4/13*g**2 - 8/13*g + 1/26*g**4 + 2/39*g**3. Factor k(o).
2*(o - 2)*(o + 1)*(o + 2)/13
Factor -9*l**2 + 4*l**2 - 610*l - 4600 - 7278 - 6727.
-5*(l + 61)**2
Let m be 6/45 - (-8)/(-60). Suppose 2*i = -i + 2*s + 526, m = -4*s + 4. Determine o, given that -15*o**5 + 182*o**4 - i*o**4 + 5*o**5 = 0.
0, 3/5
Let l(t) be the first derivative of 2*t**6/3 - 10*t**5 + 2*t**4 + 200*t**3/3 - 48*t**2 + 2649. Let l(f) = 0. What is f?
-2, 0, 1/2, 2, 12
Let h(s) = 18*s - 52. Let g be h(5). Let 22*l**2 + g*l**4 - 2*l**5 - 22*l**2 - 32*l**4 = 0. Calculate l.
0, 3
Let m = -66 + 63. Let d(l) = -4*l + 11. Let i be d(m). Factor -4*w**4 + 8*w**2 + 5*w**3 - w**3 + i - 23.
-4*w**2*(w - 2)*(w + 1)
Let f(v) be the first derivative of -v**3/7 - 24*v**2/7 - 12*v + 432. Factor f(s).