1))/(60/54). Factor 3/5*c**2 - v - m*c.
3*(c - 2)*(c + 1)/5
Let c(w) = 8*w**3 - 3084*w**2 + 614656*w - 611528. Let r(p) = 9*p**3 - 3072*p**2 + 614657*p - 611529. Let a(z) = -5*c(z) + 4*r(z). Factor a(q).
-4*(q - 391)**2*(q - 1)
Let o(c) be the second derivative of c**4/15 - 48*c**3/5 - 90*c**2 + 817*c. Find w such that o(w) = 0.
-3, 75
Let y be (1596/(-63))/(-38) - (-4 + (-48)/(-18)). Factor -2/19*x**4 + 0 + 8/19*x + 14/19*x**y + 4/19*x**3.
-2*x*(x - 4)*(x + 1)**2/19
Let x = 7/3 - 71/15. Let k = x - -3. Factor -k*g**3 - 9/5*g**2 - 6/5*g + 0.
-3*g*(g + 1)*(g + 2)/5
Let f(c) be the first derivative of -2*c**6/3 - 76*c**5/5 + 170*c**4 - 1264*c**3/3 - 176*c**2 + 1664*c - 9124. Find m such that f(m) = 0.
-26, -1, 2, 4
Let t = -51/2 - -259/10. Let l be (-6)/(39/26*(-12)/18 - 65/10). Find f, given that -t*f**4 + 0 - 34/15*f**2 - l*f - 28/15*f**3 = 0.
-3, -1, -2/3, 0
Let w(h) be the first derivative of -h**7/280 + 13*h**6/120 + 29*h**5/40 + 15*h**4/8 - h**3 + 59. Let i(q) be the third derivative of w(q). Factor i(v).
-3*(v - 15)*(v + 1)**2
Let q be 6454/1383*(-3)/(-49). Factor q*v**3 - 4 + 10/7*v + 16/7*v**2.
2*(v - 1)*(v + 2)*(v + 7)/7
Let c(h) = -8*h**2 + 58*h + 61. Let b(m) = 20 - 5*m**2 + m**2 + 8 + 2 + 28*m. Let r(j) = -5*b(j) + 2*c(j). Factor r(n).
4*(n - 7)*(n + 1)
Let j = -109 + 112. Solve 3*c**2 + 7*c**3 - 9*c**j + 8 - 16*c + 7*c**2 = 0 for c.
1, 2
Let k(y) be the first derivative of -7*y**6/45 + 128*y**5/15 - 177*y**4/10 + 52*y**3/9 + 88*y**2/15 + 1733. Determine g, given that k(g) = 0.
-2/7, 0, 1, 44
Suppose 6*c + 9/2*c**3 + 24*c**4 - 21/2*c**5 + 0 - 24*c**2 = 0. What is c?
-1, 0, 2/7, 1, 2
Suppose 3*t - 17 = i, 5*t = 7*i + 191 - 152. Let y(d) be the first derivative of -7*d**2 + 29 - d**3 + d**4 + 1/5*d**t - 8*d. Factor y(f).
(f - 2)*(f + 1)**2*(f + 4)
Let m(w) = 3*w**3 + 45*w**2 - 2*w - 30. Let j be m(-15). Suppose -2*l + j*l = -20*l. Find g, given that -1/2*g**4 + 0 + 1/8*g**2 + l*g + 3/8*g**3 = 0.
-1/4, 0, 1
Let a be 3/4*512/(-27)*630/(-1680). Factor 10/3*c - a - 1/3*c**2.
-(c - 8)*(c - 2)/3
Let q be -3 - (1*-22 + 1). Suppose -6 = 4*u - q, u + 1 = 2*b. Solve b*y**3 - 5*y**3 + 2*y**3 = 0.
0
Factor 122/3*n - 128 + 2/3*n**2.
2*(n - 3)*(n + 64)/3
Let o = 8835921/11 + -803241. Determine a so that -184/11*a + o*a**3 - 1458/11*a**5 + 556/11*a**2 + 16/11 - 1944/11*a**4 = 0.
-1, 2/9
Let b be 2*(2442/44 + -45). Determine i, given that 9/4*i**3 + 0 + 27/4*i - b*i**2 = 0.
0, 1/3, 9
Factor -86/11*h - 84/11 - 2/11*h**2.
-2*(h + 1)*(h + 42)/11
Let q(j) be the first derivative of -9*j**5/5 + 276*j**4 - 36334*j**3/3 + 75992*j**2 - 170569*j - 1017. Let q(x) = 0. What is x?
7/3, 59
Let t be -10 + (-403)/(-39) + (1420/(-48))/(-5). Determine j, given that -29/2*j**3 - 85/4*j + 13/4*j**4 + 53/2*j**2 + t - 1/4*j**5 = 0.
1, 5
Find j, given that -584 - 2/3*j**2 + 304/3*j = 0.
6, 146
Suppose d + 2*d = 3*h + 6, 0 = -2*d - 3*h + 24. Let q be (4 - 19)/(((-27)/d)/3). Solve 18*a**3 + q - 10*a**2 - 5*a**5 - 15*a + 17*a**3 - 15*a**3 = 0 for a.
-2, -1, 1
Factor 1652*t**2 - 1632*t**2 + 60*t**5 - 275*t**5 - 177*t**3 - 78*t**3 + 450*t**4.
-5*t**2*(t - 1)**2*(43*t - 4)
Let l(p) be the second derivative of p**4/24 + 37*p**3/6 + 1369*p**2/4 - 1226*p - 2. Factor l(b).
(b + 37)**2/2
Let t(o) be the second derivative of o**4/24 + 209*o**3/6 + 1245*o**2/4 - 11477*o - 1. Solve t(u) = 0.
-415, -3
Let c(m) be the first derivative of m**7/168 + m**6/72 + 7*m**3 + 67. Let i(l) be the third derivative of c(l). Determine f, given that i(f) = 0.
-1, 0
Let f(l) = 456*l - 30094. Let k be f(66). Solve 8/5 - 2/15*v**k - 2/15*v = 0 for v.
-4, 3
Let a be (-72)/342 + (-6426)/(-3990). Factor 1/5*h**4 - 9/5*h + 3*h**2 - a*h**3 + 0.
h*(h - 3)**2*(h - 1)/5
Let g(a) = 101*a**2 - 2379*a + 11342. Let p(l) = 7*l**2 - 170*l + 811. Let i(x) = -6*g(x) + 87*p(x). Factor i(c).
3*(c - 167)*(c - 5)
Let o(l) be the third derivative of 1/30*l**6 + 2/15*l**5 + 6*l**2 + 0*l - 7/6*l**4 - 1 + 8/3*l**3. Factor o(n).
4*(n - 1)**2*(n + 4)
Suppose 5*i - 822 = n + 195, -i + 219 = 5*n. Let o be (-58)/(-24) + (-340)/i. Let 3/4*s**3 + 0 - o*s + 3/4*s**4 - 3/4*s**2 = 0. Calculate s.
-1, 0, 1
Let d be (-81)/18 + 7 - (-21)/6. Let n(h) be the first derivative of 0*h**3 + 4*h**5 - h**4 - d - 25/6*h**6 + 0*h**2 + 0*h. Determine a so that n(a) = 0.
0, 2/5
Let s(d) = -25*d**3 - 15*d**2 + 75*d + 35. Let v(a) = a**4 + 25*a**3 + 15*a**2 - 77*a - 32. Let i(x) = 6*s(x) + 5*v(x). Solve i(l) = 0 for l.
-1, 2, 5
Let s = -21/5 + 101/24. Let c(z) be the third derivative of 0*z + 1/240*z**6 + 0 - 1/48*z**4 + 1/12*z**3 - s*z**5 - 9*z**2. Factor c(o).
(o - 1)**2*(o + 1)/2
Let g = 293 - 286. Suppose 18*r - 14*r = g*r. Determine i, given that 2*i**2 + 1/2*i**3 + r + 3/2*i = 0.
-3, -1, 0
Suppose 5*y = -2*r + 885, 8*r - 5*y = 6*r + 935. Factor -r*j - 4*j**3 - j**3 + 15*j**2 - 5*j**4 + 460*j - 10.
-5*(j - 1)**2*(j + 1)*(j + 2)
Let l(g) be the first derivative of g**4/32 + 215*g**3/4 + 138675*g**2/4 + 9938375*g - 9063. Factor l(v).
(v + 430)**3/8
Suppose 13*i = -59 + 72. Let m be (i + -4)/((-320)/560). Determine h, given that 5/4 + h**2 - m*h = 0.
1/4, 5
Let o be 2/(-1)*(7026/3516 - 2). Let x = o - -579/2051. Determine n, given that -x*n**2 - 24/7*n - 72/7 = 0.
-6
Let j be 21/63*(2 + -897). Let o = j - -299. Factor 2/3*f**3 - o - 2/3*f + 2/3*f**2.
2*(f - 1)*(f + 1)**2/3
Determine a, given that 22/9*a**3 - 68/9*a**2 + 16/3*a + 0 - 2/9*a**4 = 0.
0, 1, 4, 6
Let a = 1358 + -1988. Let i be 2/(-6) - 462/a. Factor -1/5*v**4 + 3/5*v**2 + i - 1/5*v**3 + v.
-(v - 2)*(v + 1)**3/5
Let a be (2/90)/((-143)/(-429)). Let k(y) be the second derivative of -15*y + 0 + 0*y**2 - a*y**4 + 0*y**3 + 1/100*y**5. Determine o so that k(o) = 0.
0, 4
Let w(o) = o**3 - 113*o**2 + 1 + 61*o**2 + 51*o**2. Let a(b) = 33*b**3 - 441*b**2 + 219*b - 42. Let q(z) = -a(z) - 15*w(z). Find t such that q(t) = 0.
1/4, 9
Let s(w) be the third derivative of w**6/360 + 2*w**5/45 - w**4/18 - 16*w**3/9 + 90*w**2 + 2*w. Find t such that s(t) = 0.
-8, -2, 2
Suppose -9 = -q - 6. Let s(u) be the first derivative of 16 + 0*u + 3*u**2 + 3/4*u**4 - q*u**3. Factor s(m).
3*m*(m - 2)*(m - 1)
Factor -55/2 - 53/4*y + 1/4*y**2.
(y - 55)*(y + 2)/4
Let x be 5/(-2)*(-77)/5775*(1 + 5). Determine y, given that 2/5 - x*y**3 + 1/5*y - 2/5*y**2 = 0.
-2, -1, 1
Let i(s) = 11*s**4 + 12*s**3 + 6*s**2 - 11*s. Let n(o) = 18*o**4 + 21*o**3 + 12*o**2 - 21*o. Let q(c) = 5*i(c) - 3*n(c). Factor q(l).
l*(l - 4)*(l - 1)*(l + 2)
Let s(d) be the third derivative of -d**6/40 - 2*d**5/15 + 5*d**4/8 - 2*d**3/3 - 3*d**2 - 108*d + 4. Find y such that s(y) = 0.
-4, 1/3, 1
What is z in -17*z + 10*z**2 - 1 + z**3 - 9 - 6*z - z + 23*z = 0?
-10, -1, 1
Let x = 1898 - 1898. Let k(d) be the third derivative of 1/3*d**4 - 3*d**2 + 2/3*d**3 + 0*d - 7/15*d**5 + 2/15*d**6 + x. Suppose k(u) = 0. Calculate u.
-1/4, 1
Let w(u) be the second derivative of -1/30*u**6 - 1/2*u**4 - 4*u + 5 + 1/5*u**5 - 1/2*u**2 + 2/3*u**3. What is h in w(h) = 0?
1
Let t = 4094 - 4090. Let x(m) be the second derivative of -5/24*m**6 + 13*m + 0*m**2 + 0 - 5/12*m**t - 1/2*m**5 + 0*m**3 - 5/168*m**7. What is v in x(v) = 0?
-2, -1, 0
Let l = -76330/3 - -25788. Let h = -344 + l. Suppose -54 - h*i**2 - 12*i = 0. Calculate i.
-9
Let v(n) = -34*n**3 + 54*n**2 - 20*n + 8. Suppose 4*t = 6*t + 10. Let j(z) = 23*z**3 - 36*z**2 + 13*z - 5. Let a(c) = t*v(c) - 8*j(c). Factor a(m).
-2*m*(m - 1)*(7*m - 2)
Factor 1/8*w**2 + 5/8*w - 63/4.
(w - 9)*(w + 14)/8
Let i(b) = -b**2 + 13*b + 24. Let d be i(-3). Let g be d/84 - (2 - 284/112). Factor 0 - 1/2*a + g*a**3 - 1/4*a**2.
a*(a - 2)*(a + 1)/4
Let i(m) be the second derivative of -3*m**5/40 + 171*m**4/8 + 174*m**3 + 525*m**2 + 814*m. Factor i(h).
-3*(h - 175)*(h + 2)**2/2
Let f be 1 + (-6)/(-7) + 2/14. Factor -25*a + 50*a**f + 3 + 727*a**3 + 25*a**4 + 2 - 777*a**3 - 5*a**5.
-5*(a - 1)**5
Let w(p) be the first derivative of -27/7*p**2 - 8/7*p**3 + 3/35*p**5 - 9 - 27/7*p + 3/14*p**4. Solve w(i) = 0 for i.
-3, -1, 3
Let f be (649572/962)/(-57) + 14 + -2. Suppose -12/13*j**2 + f*j**3 - 16/13 + 24/13*j = 0. What is j?
2
Find q, given that -98 + 2/5*q**2 - 488/5*q = 0.
-1, 245
Let c(x) be the first derivative of x**5/70 + x**4/3 + 20*x**3/7 + 72*x**2/7 - 261*x - 112. Let j(k) be the first derivative of c(k). Factor j(l).
2*(l + 2)*(l + 6)**2/7
L