of 1/720*v**6 - 40*v**2 - 1/90*v**5 + 1/1260*v**7 - z*v**4 + 0*v**3 + 0 + 0*v. Factor m(g).
g*(g - 2)*(g + 1)*(g + 2)/6
Suppose 4*o = 10*a - 5*a + 30, -2*o - 3*a + 4 = 0. Factor -8*s**3 + s**o + 2*s**2 + 13*s**3 - 159*s**4 + 163*s**4.
s**2*(s + 1)**2*(s + 2)
Let q(h) be the second derivative of -h**4/78 - 140*h**3/39 - 1438*h. Let q(c) = 0. Calculate c.
-140, 0
Suppose 4 = -524*a + 505*a + 61. Let -a*h**2 - 4 - 6*h - 1/2*h**3 = 0. What is h?
-2
Factor -364/11*t + 0 - 6/11*t**3 - 50*t**2.
-2*t*(t + 91)*(3*t + 2)/11
Suppose 2*j - 2 = -6, -2*j = m - 858. Let q = 865 - m. Factor 0*z + 3/4*z**q - 3/2*z**2 + 3/4*z**4 + 0.
3*z**2*(z - 1)*(z + 2)/4
Factor 3541 - 5*y**5 - 8400*y**3 - 1075*y**4 - 20101 - 25000*y**2 - 15328*y - 17872*y.
-5*(y + 2)**4*(y + 207)
Let x be (-138)/(-621) + -4 + (870/9)/5. Let x*w + 50/9 + 98/9*w**2 = 0. Calculate w.
-5/7
Let d(k) be the second derivative of k**4/36 + 250*k**3/9 - 167*k**2/2 - 22*k. Suppose d(u) = 0. Calculate u.
-501, 1
Let j(g) be the first derivative of 2*g**5/45 + g**4/3 + 26*g**3/27 + 4*g**2/3 + 8*g/9 + 1205. Solve j(r) = 0.
-2, -1
Find a, given that 9/2*a**5 - 1/2*a**3 - 4*a + 19*a**4 + 0 - 19*a**2 = 0.
-4, -1, -2/9, 0, 1
Let f(k) = k**2 + 7*k**2 - 7*k**2 + k. Let o(t) = -10*t**2 + 14*t + 2. Let z(c) = -6*f(c) + 2*o(c). Solve z(u) = 0 for u.
-2/13, 1
Let l be 6/54*-3*-66. Find r such that 50*r**3 + 121*r - 2*r**5 + 26*r**2 + 115*r - 236*r + l*r**4 = 0.
-1, 0, 13
Let d be (-125)/(-2 - (-28)/16). Let a = -498 + d. Suppose 6/11*q**5 + 14/11*q**a - 24/11*q + 8/11 + 18/11*q**3 - 2*q**4 = 0. Calculate q.
-1, 2/3, 1, 2
Suppose -243340/3 - 695/6*n**3 - 5405*n**2 - 5/6*n**4 - 259210/3*n = 0. What is n?
-46, -1
Let y(f) be the third derivative of -3*f**5/16 + 2845*f**4/96 - 105*f**3/4 - 2*f**2 + 5*f + 5. Factor y(t).
-5*(t - 63)*(9*t - 2)/4
Let w(g) be the first derivative of -g**4/14 + 116*g**3/21 + 309*g**2/7 + 108*g - 5381. Solve w(k) = 0.
-3, -2, 63
Let y(s) = -6*s**4 + 16*s**3 - 30*s**2 + 40*s - 16. Let f(r) = 19*r**4 - 48*r**3 + 87*r**2 - 119*r + 48. Let x(j) = 8*f(j) + 26*y(j). Factor x(h).
-4*(h - 4)*(h - 2)*(h - 1)**2
Let t(r) = -4*r**2 - 446*r - 13001. Let c be 3/18*-10*(-9)/(-3). Let i(a) = -20*a**2 - 2232*a - 65004. Let y(v) = c*i(v) + 24*t(v). Factor y(b).
4*(b + 57)**2
Let d(c) = 2*c**2 + 24*c - 16. Let n be d(-13). Factor -15*m - n*m**2 + 19*m**2 - 5*m**2 + m**2 - 12 - 8.
5*(m - 4)*(m + 1)
Let h(l) be the third derivative of -l**5/480 + 237*l**4/64 - 355*l**3/24 - 2366*l**2. Factor h(k).
-(k - 710)*(k - 1)/8
Factor -45/2*k + 3/4*k**2 + 0.
3*k*(k - 30)/4
Let p = 2186/10255 + -27/2051. Suppose -p*v**2 - 8/5*v - 7/5 = 0. What is v?
-7, -1
Let i = 1245557 + -3736670/3. Determine n so that 1/2*n + 1/6*n**2 + i = 0.
-2, -1
Factor 10103/5*q + 4042/5 - q**2.
-(q - 2021)*(5*q + 2)/5
Let v(r) = 2181*r**3 - 21204*r**2 - 4551*r - 235. Let j(d) = 3270*d**3 - 31806*d**2 - 6825*d - 353. Let f(l) = 5*j(l) - 7*v(l). Factor f(o).
3*(o - 10)*(19*o + 2)**2
Find c such that 1/2*c**3 + 1004 - 4015/2*c + 1003*c**2 = 0.
-2008, 1
Let a(h) be the third derivative of -h**5/4 + 463*h**4/8 + 93*h**3 + 2*h**2 - 147*h. Factor a(z).
-3*(z - 93)*(5*z + 2)
Let 6*t**3 + 42 + 73877*t + 9*t**2 + 3*t**3 + 69*t**2 - 73766*t = 0. Calculate t.
-7, -1, -2/3
Factor 37 - 51*m**2 + 3*m**3 + 42*m - 22 + 35 + 26 + 20.
3*(m - 16)*(m - 2)*(m + 1)
Let f(x) be the second derivative of x**5/300 - 11*x**4/120 + x**3/3 - 33*x**2 - 13*x. Let g(s) be the first derivative of f(s). Suppose g(v) = 0. Calculate v.
1, 10
Let u(y) = 5*y + 12. Let x be u(-2). Factor 3*c**2 + 3*c**3 + c**4 - 3*c**x + 5*c - c**2 - 8*c**2.
c*(c - 1)**2*(c + 5)
Let m(i) be the first derivative of i**6/39 + 4*i**5/13 + 12*i**4/13 + 44*i**3/39 + 7*i**2/13 + 1017. Factor m(n).
2*n*(n + 1)**3*(n + 7)/13
Suppose 8*d = 641 - 665. Let q(v) = -v**3 - 66*v**2 - 1155*v - 1091. Let f(b) = -b**2 + 2. Let t(p) = d*q(p) - 3*f(p). Solve t(n) = 0.
-33, -1
Let v(y) = -25*y**4 - 270*y**3 + 75*y**2 - 90*y + 30. Let a(p) = p**4 + 10*p**3 - p**2 + 3*p - 1. Let c(i) = 30*a(i) + v(i). Factor c(x).
5*x**2*(x + 3)**2
Let g be 2*-15 + 0/(5/1). Let q be 5 - (-36 - g - 146/(-14)). Suppose -16/7*p + q*p**2 + 12/7 = 0. What is p?
1, 3
Suppose -55 = -4*l + 94*x - 95*x, -7*x + 61 = l. Factor -l*z**2 + 3/5*z**4 + 0 + 0*z + 24/5*z**3.
3*z**2*(z - 2)*(z + 10)/5
Suppose 12*i + 22 = 23*i. Let o(k) = -5*k**3 - 9*k**2 - 8*k - 4. Let v(d) = -11*d**3 - 18*d**2 - 17*d - 10. Let j(z) = i*v(z) - 5*o(z). Factor j(q).
3*q*(q + 1)*(q + 2)
Let l(i) = i**4 + 200*i**3 + 231*i**2 - 167*i - 232. Let k(a) = -40*a**3 - 46*a**2 + 34*a + 46. Let y(t) = 11*k(t) + 2*l(t). Factor y(b).
2*(b - 21)*(b - 1)*(b + 1)**2
Let a(o) be the first derivative of o**3/18 + 205*o**2/12 + 34*o - 297. Factor a(w).
(w + 1)*(w + 204)/6
Let a(l) be the first derivative of 42/5*l**5 - 32/5*l + 72/5*l**2 - 178/15*l**3 - 65 - 23/10*l**4 - 49/15*l**6. Find f such that a(f) = 0.
-1, 4/7, 1
Let s(p) be the third derivative of 0*p + 2*p**2 + 1/2520*p**7 - 7/1440*p**6 + 0*p**3 - 20 + 1/48*p**5 - 1/32*p**4. Solve s(l) = 0.
0, 1, 3
Suppose 4*l + 385 = 5*u, 15*u = 2*l + 11*u + 200. Let h = l - -93. Solve -3/4 + 7/4*n + 1/4*n**h - 5/4*n**2 = 0 for n.
1, 3
Determine m, given that -4*m**5 - 120*m**3 - 3*m**3 - 21*m**4 - 55*m**4 - 42*m**3 - 227*m**3 - 320*m**2 = 0.
-10, -8, -1, 0
Let b be (42/112 + (-2193)/(-2856))*(-28)/(-40)*2. Determine o so that b*o**3 + 0 + 114/5*o**2 + 28/5*o = 0.
-14, -1/4, 0
Let m(p) = -p**2 + p - 1. Let q(i) = 217*i**2 - 109*i**2 - 114*i**2 - 1 - i + 3*i. Let y(l) = -5*m(l) + q(l). Let y(s) = 0. What is s?
-4, 1
Let m = 1036 - 1787. Let v = -5999/8 - m. Let -3/4*q**2 + 3/8*q**5 + 3/4*q**3 + v*q**4 - 3/8 - 9/8*q = 0. Calculate q.
-1, 1
Factor 159*h**2 - 59/6*h**3 - 1232/3*h + 784/3 + 1/6*h**4.
(h - 28)**2*(h - 2)*(h - 1)/6
Let n be (-1554)/(-322) + (-28)/(-161). Find l such that 1/4*l**n + 1/4*l**2 + 0*l + 3/4*l**3 + 3/4*l**4 + 0 = 0.
-1, 0
Let z(g) be the first derivative of 94*g**3/3 - 30*g**2 + 9*g + 30. Let y(j) = -j**2. Let q(a) = -30*y(a) + 5*z(a). Solve q(o) = 0.
3/10
Let o(d) = 19*d**2 + d - 1. Let m(u) = 14*u**3 - 53*u**2 - 689*u - 193. Let j(n) = -m(n) - 3*o(n). Solve j(s) = 0 for s.
-7, -2/7, 7
Suppose m = f, -5 = m - 0*f - 2*f. Let 22*l**4 - 43*l**3 - 172*l**2 - 96*l - 9*l**3 + 21*l**4 - 15*l**4 + 4*l**m = 0. What is l?
-8, -1, 0, 3
Let t be (14 - -11)*27/15 - -1. Suppose 35*d = t*d - 33. Factor -1/7*u**2 - 1/7*u + 0 + 1/7*u**4 + 1/7*u**d.
u*(u - 1)*(u + 1)**2/7
Let v(b) be the third derivative of 2*b**5/5 + 31*b**4/8 + 2363*b**2. Factor v(l).
3*l*(8*l + 31)
Let f be 8/(-252)*9 + (-60)/(-14). Let b be f - 1 - ((-275)/10)/(-11). Factor -1/2*n - b*n**5 + 0 + 2*n**4 - 3*n**3 + 2*n**2.
-n*(n - 1)**4/2
Determine n so that -2/17*n**5 - 132/17*n**4 + 7688/17 + 2418/17*n - 7556/17*n**2 - 2416/17*n**3 = 0.
-31, -4, -1, 1
Let r(w) be the second derivative of w**7/14 + 10*w**6/3 - 93*w**5/10 - 97*w**4/3 - 35*w**3/2 + 6219*w. Solve r(m) = 0 for m.
-35, -1, -1/3, 0, 3
Suppose -o = -5*g + 541 - 2185, o + g - 1632 = 0. Suppose 366 = 8*l - o. Solve 20*s + 13 - l*s**2 - 6 - 144*s**3 + 19*s**3 + 33 = 0.
-2, -2/5, 2/5
Suppose 2*h = -72 + 234. Suppose -h*p - 8 = -83*p. Solve -10/3*r**p - 4/3 - 2*r + 2*r**3 + 14/3*r**2 = 0.
-1, -2/5, 1
Let -120*o**4 - 135*o**3 + 4*o**3 - 14*o**5 - 42*o**3 - 47*o**3 + 9*o**5 = 0. Calculate o.
-22, -2, 0
Let f(z) = 15*z**2 - 130*z - 585. Let h(k) = -5*k**2 + 44*k + 195. Let a(s) = -3*f(s) - 10*h(s). Solve a(n) = 0 for n.
-3, 13
Let m(c) be the first derivative of -2*c**3/15 - 431*c**2/5 + 864*c/5 + 1880. Factor m(k).
-2*(k - 1)*(k + 432)/5
Let m = 306/35 + 69712/105. Let v = 674 - m. Factor 4/3*t**5 - 8/3*t**2 + 4/3*t + 4/3 + v*t**4 - 8/3*t**3.
4*(t - 1)**2*(t + 1)**3/3
Let l(n) = -210*n - 19*n**3 - 23*n**3 + 225*n**2 + 41*n**3 + 45 - 19*n**3. Let r(t) = -t**2 + t + 1. Let c(d) = -l(d) - 5*r(d). Factor c(w).
5*(w - 10)*(2*w - 1)**2
Suppose 0 = 4*m + a - 13, 0 = -25*m + 20*m - a + 17. Let q(j) be the first derivative of 52*j**3 + 29 + 16/3*j + 32*j**2 - 169/3*j**m. What is p in q(p) = 0?
-2/13, 1
Let g be (2 - -3)*(-78 - -79). Let y(t) be the third derivative of -1/2*t**4 + 19*t**2 - 4/3*t**3 + 0 - 1/15*t**g + 0*t. Suppose y(r) = 0. Calculate r.
-2, -1
Factor 74*z + 1753*z**2 + 369 + 52 + 48 - 1752*z**2.
(z + 7)*(z + 67)
