 - 175*a. Factor s(l).
-(l + 1)*(l + 4)**2/2
Let 395*m**2 + 397*m**2 - 793*m**2 - 3*m = 0. Calculate m.
-3, 0
Let l(m) be the first derivative of m**6/540 + 2*m**5/135 + 5*m**4/108 + 2*m**3/27 + 19*m**2 - 15. Let g(t) be the second derivative of l(t). Factor g(o).
2*(o + 1)**2*(o + 2)/9
Let n = 5990 + -5990. Factor -9/2*v**3 + 3/2*v**5 + n - 3*v - 3/2*v**4 + 15/2*v**2.
3*v*(v - 1)**3*(v + 2)/2
Let b(n) be the second derivative of n**10/6048 - n**9/756 + n**8/336 - n**4/4 - 27*n. Let v(o) be the third derivative of b(o). Factor v(y).
5*y**3*(y - 2)**2
Suppose 0 = -33*u + 42*u - 27. Suppose 5 = -u*y + 5*j - 1, 4*y - 5*j + 3 = 0. Determine m so that 0 - 1/3*m**2 - 1/6*m**y - 1/6*m = 0.
-1, 0
Let c = 1034 + -15508/15. What is v in 0 + 0*v**3 - 2/15*v + 4/15*v**4 - 4/15*v**2 + c*v**5 = 0?
-1, 0, 1
Let x(m) be the third derivative of m**6/720 - m**5/240 + m**3/6 + 6*m**2. Let b(r) be the first derivative of x(r). Let b(a) = 0. Calculate a.
0, 1
Let v(k) be the second derivative of k**6/10 + 3*k**5/10 - 5*k**4/4 - 3*k**3 + 197*k. Suppose v(u) = 0. Calculate u.
-3, -1, 0, 2
Let v(o) be the second derivative of -3/17*o**2 + 2/51*o**3 + 0 + 5*o + 1/102*o**4. Factor v(r).
2*(r - 1)*(r + 3)/17
Suppose 0 + 298/19*m**4 - 400/19*m + 1880/19*m**2 - 1764/19*m**3 - 14/19*m**5 = 0. Calculate m.
0, 2/7, 1, 10
Let t(z) be the third derivative of -z**5/30 - 11*z**4/12 - 8*z**3 + 2*z**2 + 62. Factor t(m).
-2*(m + 3)*(m + 8)
Let x be (-180)/(-3 + 1) + 0/20. Let k = -359/4 + x. What is z in -1/2 - k*z + 1/4*z**2 = 0?
-1, 2
Let m(s) be the first derivative of 2/7*s**2 + 5 + 1/21*s**3 - 1/42*s**4 + s. Let b(r) be the first derivative of m(r). Factor b(n).
-2*(n - 2)*(n + 1)/7
Suppose -15*y - 3*y = -29*y. Factor 1/4*m**5 + 0*m + y*m**4 - 3/4*m**3 + 1/2*m**2 + 0.
m**2*(m - 1)**2*(m + 2)/4
Factor -1/7*f**4 - 99/7*f**2 - 81/7*f - 19/7*f**3 + 0.
-f*(f + 1)*(f + 9)**2/7
Let b be (-18)/(-10)*(-120)/(-72). Let h(x) be the third derivative of -1/240*x**5 - 8*x**2 + 0*x + 1/12*x**b + 0 - 1/96*x**4. What is j in h(j) = 0?
-2, 1
Let f be 1*-4 + -17 + 21. Let d be f - -2 - (-4 - -6). Factor d*r + 4*r**2 - 7*r - r - 17 + 5.
4*(r - 3)*(r + 1)
What is c in -951/2*c**4 - 42875/2 - 204015*c**2 - 260925/2*c - 16853*c**3 - 9/2*c**5 = 0?
-35, -1/3
Let h be (-14 - 13) + (-137)/(-5). Solve 12*i + 90 + h*i**2 = 0.
-15
Factor r**5 + 4 + 729*r**4 - 12*r - r**3 + 11*r**2 - 367*r**4 - 365*r**4.
(r - 2)*(r - 1)**3*(r + 2)
Let o = -17130 - -17133. Determine c, given that 0 + 1/4*c**2 + 5/4*c**4 - 1/2*c + 2*c**o = 0.
-1, 0, 2/5
Let f(i) be the third derivative of i**9/15120 + i**8/5040 - i**7/630 - 2*i**5/15 - 26*i**2. Let s(k) be the third derivative of f(k). Factor s(d).
4*d*(d - 1)*(d + 2)
Let 21 + 68*h**5 - 2706*h**3 + 2878*h**3 - 296*h**2 - 240*h + 264*h**4 + 11 = 0. Calculate h.
-2, -1, 2/17, 1
Let f(c) = c - 2. Let l be f(-10). Let w = -10 - l. Factor -8*r + 49*r**w - 16*r - 36 - 53*r**2.
-4*(r + 3)**2
Let o be ((-3 - -4) + 1 + -2)/(-2). Suppose 3*r = -15, -4*r = -2*t - o*r + 26. Let -3/2*z**t - 3/2*z**2 + 0 + 3*z = 0. Calculate z.
-2, 0, 1
Let b be ((-46)/184)/(2/(-24)). Let m(g) be the first derivative of 0*g**2 + 0*g + 1/21*g**b - 1. Suppose m(n) = 0. Calculate n.
0
Determine p, given that 3*p**3 + 12*p**2 + 237*p - p**3 + p**3 + 238*p - 463*p = 0.
-2, 0
Let -240*h**2 - 16 - 208*h**2 + 2*h - 4*h**3 + 9*h**3 + 491*h**2 - 9*h**5 - 27*h**4 + 2*h**3 = 0. What is h?
-8/3, -1, 2/3, 1
Let f(u) be the second derivative of 0 + 1/600*u**6 + 3/2*u**3 + 1/600*u**5 + 0*u**2 + 0*u**4 - u. Let k(t) be the second derivative of f(t). Factor k(d).
d*(3*d + 1)/5
Let j = 5 + -11. Let s be 3/((-1)/(4/j)). What is g in 0 - g + 1 - 3 + 5*g - s*g**2 = 0?
1
Let m(h) = 13*h + 6. Let a be m(0). Let v(l) be the first derivative of 0*l - 1/6*l**3 + 1/2*l**2 + a. Suppose v(k) = 0. What is k?
0, 2
Let g be (-5)/(-2)*108/(-45). Let a be -2 + (-17)/g + 1/2. Factor -4/3*n - 1/3*n**3 - a*n**2 + 0.
-n*(n + 2)**2/3
Suppose -29*o = 80*o + 37*o. Factor 0 + o*l - 2/7*l**5 + 0*l**2 + 2/7*l**4 + 0*l**3.
-2*l**4*(l - 1)/7
Let q(x) = -x**4 - 11*x**3 - 44*x**2 + 68*x - 4. Let o(u) = -u**4 - 10*u**3 - 43*u**2 + 69*u - 5. Let b(d) = 4*o(d) - 5*q(d). Factor b(p).
p*(p - 1)*(p + 8)**2
Let n(d) be the first derivative of d**6/10 + 9*d**5/25 - 33*d**4/20 - 3*d**3/5 + 3*d**2 - 88. Suppose n(x) = 0. What is x?
-5, -1, 0, 1, 2
Let r(l) be the third derivative of l**8/112 + 3*l**7/28 - 27*l**6/80 + l**5/40 + 9*l**4/16 - 122*l**2. Let r(u) = 0. What is u?
-9, -1/2, 0, 1
Suppose -2*d + 0 + 6 = 0. Suppose -2*j - 26 = -4*j + 4*r, 0 = 3*j + d*r + 6. Factor 0*k**j + 0*k + 0 - 2/3*k**2 + 2/3*k**4.
2*k**2*(k - 1)*(k + 1)/3
Let s = 23645 + -23643. Determine i so that 6/5*i**3 + 0 - 1/5*i**5 + 0*i**s + 0*i + i**4 = 0.
-1, 0, 6
Let y(q) be the first derivative of -2*q**3/21 - q**2/7 - 70. Find c, given that y(c) = 0.
-1, 0
Let m(c) be the third derivative of -c**6/300 + 11*c**5/150 - 7*c**4/60 - 49*c**3/5 - 804*c**2. Determine k so that m(k) = 0.
-3, 7
Let z(m) be the first derivative of -7*m**5/60 + 37*m**4/48 - 11*m**3/6 + 11*m**2/6 - 2*m/3 + 77. Find v, given that z(v) = 0.
2/7, 1, 2
Suppose -5 = 8*u - 29. Factor -21*l**4 - 3*l**3 + 2*l**5 + 21*l**2 - u*l**5 + 4*l**5.
3*l**2*(l - 7)*(l - 1)*(l + 1)
Let g = 73/260 + -2/65. Let y be 84/48*18/14. Determine j, given that g*j**3 - 27/4 + 27/4*j - y*j**2 = 0.
3
Suppose -24 = -61*q + 90*q - 41*q. Suppose -13/2*g**q + 23/2*g + 1/2*g**3 - 11/2 = 0. Calculate g.
1, 11
Suppose -2*z + 10 = -5*f, 4*f - 5*z - 716 + 741 = 0. What is k in -2/7*k**3 - 2/7*k**2 + 0*k + f = 0?
-1, 0
Let w(k) be the third derivative of k**8/1344 - k**7/630 + k**6/900 - 11*k**4/12 - k**2. Let s(m) be the second derivative of w(m). Let s(j) = 0. What is j?
0, 2/5
Let o(z) = -z**3 - 11*z**2 + 11*z - 10. Let i be o(-12). Let k be 6/4 + 3/i. Factor 5*l**2 + l + l**3 - l**3 + l**3 - k*l**2.
l*(l + 1)**2
Let l(s) be the third derivative of s**9/50400 - s**8/7200 + s**7/6300 + 3*s**5/20 - s**2. Let y(t) be the third derivative of l(t). Factor y(d).
2*d*(d - 2)*(3*d - 1)/5
Let k(v) be the second derivative of -v**6/1080 + v**4/72 - 25*v**3/6 - 25*v. Let b(h) be the second derivative of k(h). Factor b(c).
-(c - 1)*(c + 1)/3
Let s(h) = 4*h**2 - h - 1. Let m(c) = 2*c**2 + 23*c - 23. Let j(w) = 2*m(w) - 2*s(w). Let j(o) = 0. Calculate o.
1, 11
Let j = 25494/5 + -5138. Let h = -38 - j. What is b in -2/5 + 4/5*b**3 - 4/5*b**2 + 6/5*b**4 + 2/5*b**5 - h*b = 0?
-1, 1
Let r(g) = 8*g**2 - 272*g + 273. Let y(x) = 105*x**2 - 3535*x + 3550. Let f(t) = -40*r(t) + 3*y(t). Let f(v) = 0. What is v?
1, 54
Let c = 928 + -928. Let j(l) be the third derivative of -2/3*l**3 + 6*l**2 + 0*l + 1/4*l**4 - 1/60*l**6 + c + 0*l**5. Find h, given that j(h) = 0.
-2, 1
Let y(l) = l**2 + 117*l - 235. Let g be y(2). Determine d, given that 3/5*d**g + 3*d + 12/5*d**2 + 6/5 = 0.
-2, -1
Let h be (21/56)/((-198)/(-880)). Factor -8/3*c - 4/3 + h*c**2.
(c - 2)*(5*c + 2)/3
Let m(h) be the first derivative of 2*h**3/3 + 9*h**2 + 95. Solve m(i) = 0 for i.
-9, 0
Let k(a) = 4*a**2 - 6*a. Let p(q) be the third derivative of -13/60*q**5 + 3/4*q**4 + 0 + 0*q + 0*q**3 + 5*q**2. Let l(r) = 7*k(r) + 2*p(r). Factor l(w).
2*w*(w - 3)
Let m(i) = i**3 - 13*i**2 - 8*i - 330. Let q be m(15). Factor -3/4*g**4 + 3*g**3 + 0*g - 3*g**2 + q.
-3*g**2*(g - 2)**2/4
Suppose 4*y + 12 = -4*p - 0*y, -6 = -2*p + 2*y. Let j be 2 + ((-9)/(-6) - 1)*p. Suppose 1/2*d**3 + 0*d + 0*d**j - 3/4*d**4 + 1/4*d**5 + 0 = 0. Calculate d.
0, 1, 2
Let r be 44/(-3)*3/(-12). Let u = 13/3 - r. Factor 0 - u*m + 1/3*m**2.
m*(m - 2)/3
Let c(q) be the third derivative of -q**7/105 - 8*q**6/15 - 64*q**5/5 - 512*q**4/3 - 4096*q**3/3 - 58*q**2. Determine r, given that c(r) = 0.
-8
Let -96 + 66*u**2 - 102*u + 9/2*u**3 = 0. Calculate u.
-16, -2/3, 2
Let w = 181 - 113. Factor -20*u**2 + w*u - 7 - 1 + 5*u**2 + 51*u**2.
4*(u + 2)*(9*u - 1)
Let y(z) be the second derivative of -2/51*z**3 + 7*z - 1/34*z**5 + 0*z**2 + 0 + 7/102*z**4. Factor y(b).
-2*b*(b - 1)*(5*b - 2)/17
Let a(k) = k + 5. Let g be a(9). Let p be (g/10)/(11/55). Factor -6*w**2 - w**4 - 3*w**5 + p*w**4 + w + 2*w.
-3*w*(w - 1)**3*(w + 1)
Let k(v) = 3*v**2 - 10. Let a(t) = 6*t**2 - 19. Let q(h) = -h + 5. Let p be q(3). Let d(m) = p*a(m) - 5*k(m). Factor d(o).
-3*(o - 2)*(o + 2)
Solv