 - (-3773)/836)*(-16)/(-6). Factor 8/19 - 24/19*y + 2/19*y**4 - 12/19*y**3 + f*y**2.
2*(y - 2)**2*(y - 1)**2/19
Let t(o) be the second derivative of 8 + 2/35*o**5 - 1/35*o**6 - 4/21*o**3 - 8*o + 1/6*o**4 - 4/7*o**2. Let t(u) = 0. What is u?
-1, -2/3, 1, 2
Factor -2/21*s**2 + 82/21*s - 52/7.
-2*(s - 39)*(s - 2)/21
Let b = -4855 + 97101/20. Let v(q) be the third derivative of 0 + q**2 + 0*q - 1/120*q**6 + b*q**5 - 1/8*q**4 + 1/6*q**3. Factor v(a).
-(a - 1)**3
Let q(o) = o**4 + o**3 + 2*o + 1. Let n(v) = 19*v + 4*v + 22 - v**4 + 21*v - 2*v**5 + 32*v**3 + 31*v**4. Let f(m) = -2*n(m) + 44*q(m). Factor f(z).
4*z**3*(z - 5)*(z + 1)
Let y(t) be the third derivative of t**5/15 + 230*t**4 - 2762*t**3/3 - 884*t**2 - 2. Factor y(m).
4*(m - 1)*(m + 1381)
Factor 3400/3*v + 5/3*v**2 + 578000/3.
5*(v + 340)**2/3
Let s = -132259/10 - -13226. Let d(n) be the first derivative of -s*n**5 + 1/3*n**3 - 1/4*n**2 + 1/4*n**4 + 12 - 1/12*n**6 - 1/2*n. Factor d(r).
-(r - 1)**2*(r + 1)**3/2
Factor 1296/11 + 6/11*f - 2/11*f**2.
-2*(f - 27)*(f + 24)/11
Let m be (-190)/228 - (0 + (-948)/36). Factor -m*n + 33/4 + 3/4*n**4 + 27*n**2 - 21/2*n**3.
3*(n - 11)*(n - 1)**3/4
Let x(v) be the second derivative of 31*v - 5/21*v**3 + 1/70*v**5 + 0 - 1/105*v**6 + 2/7*v**2 + 1/14*v**4. Factor x(d).
-2*(d - 1)**3*(d + 2)/7
Let u be (3 + (-23)/(-3))*((-3997)/(-4568) - (-5)/8). Determine z so that -20/3*z - u*z**3 + 4/3*z**5 + 8/3*z**4 + 0 + 56/3*z**2 = 0.
-5, 0, 1
Let c(m) be the third derivative of m**5/120 - 50*m**4/3 + 40000*m**3/3 + 722*m**2. Determine a so that c(a) = 0.
400
Suppose -116*m + 178 = -100 - 70. Let w(j) be the first derivative of 19 + 5/4*j**4 + 0*j + 5*j**m + 5*j**2. Solve w(u) = 0.
-2, -1, 0
Let w be 350/(-75) + -1*438/(-90). Solve -16/5 - w*d**2 + 8/5*d = 0 for d.
4
Let l(x) be the third derivative of 1/15*x**5 + 0*x**3 + 1/15*x**6 + 0 + 37*x - 1/3*x**4 - 2/105*x**7 - x**2. Let l(g) = 0. Calculate g.
-1, 0, 1, 2
Let t(m) be the second derivative of -m**7/210 + 2*m**5/5 - 8*m**4/3 - m**3/6 - 29*m**2 + 33*m - 3. Let g(u) be the second derivative of t(u). Factor g(k).
-4*(k - 2)**2*(k + 4)
Let n(g) be the first derivative of g**4 - 556*g**3 + 87360*g**2 - 173056*g - 4758. What is s in n(s) = 0?
1, 208
Suppose -292 = 3*u + 2*r, -2*u - 4*r - 396 = 2*u. Let j = u + 126. Factor j*a - 117*a**4 + 350*a**3 + 260*a**2 + 8*a - 128*a**4.
-5*a*(a - 2)*(7*a + 2)**2
Suppose 0 = -3*p - 3*d - 33, 11 = 319*p - 317*p - d. Solve -1/8*o**2 + p + 13/8*o = 0.
0, 13
Suppose q - 72 = -11*d + 7*d + 6*q, 4*d + q = 0. Factor -18/7*o**2 + 10/7*o**d + 2*o - 4/7 - 2/7*o**4.
-2*(o - 2)*(o - 1)**3/7
Let g(q) be the third derivative of q**7/490 + 3*q**6/280 - 9*q**5/140 + 5*q**4/56 + 603*q**2. Solve g(r) = 0.
-5, 0, 1
Let n(t) = t**2 - t + 1. Let q = -109 + 111. Let x be q*(5 + 9/(-2)). Let c(o) = -o**3 - o**2 + 2*o - 1. Let d(b) = x*c(b) + n(b). Factor d(p).
-p*(p - 1)*(p + 1)
Let a(n) be the third derivative of -n**7/140 + 9*n**6/80 - 13*n**5/20 + 3*n**4/2 + 7212*n**2. Factor a(l).
-3*l*(l - 4)*(l - 3)*(l - 2)/2
Let s(m) be the second derivative of m**5/50 - 4*m**4/5 - 17*m**3/5 - 26*m**2/5 - 12*m + 2. Find x such that s(x) = 0.
-1, 26
Let k = 2674621/390 + -6858. Let g(d) be the third derivative of 1/39*d**4 + 0 - 1/78*d**5 + 0*d - 25*d**2 + k*d**6 - 1/39*d**3. Factor g(m).
2*(m - 1)**2*(2*m - 1)/13
Suppose -5 = -5*k, -5*l + 7*k + 8 = 5*k. Suppose 0 = -l*p - 9*p + 33. Factor -1/2*a + a**4 - a**2 + 0*a**p + 0 + 1/2*a**5.
a*(a - 1)*(a + 1)**3/2
Let i be (-11)/(-1)*(-5 - (-342)/66). Factor -24*l**2 - 8*l**2 + 11*l**3 - 18 + 11*l - 4*l**3 - 12*l**i + 64*l.
(l - 3)**2*(7*l - 2)
Let n be 8/(-22) + (-1704)/(-88) + -5 + -14. Find a, given that n - 1/4*a**2 + 3/4*a = 0.
0, 3
Factor -132/17 + 134/17*h - 2/17*h**2.
-2*(h - 66)*(h - 1)/17
Let p(g) = 2*g**2 + 4*g - 5. Let j be p(-6). Let w = 46 - j. Factor -14 - 3*k + 5*k**2 - 6 + w*k.
5*(k - 2)*(k + 2)
Factor -32*u**2 - 4/5*u**3 - 1000 + 380*u.
-4*(u - 5)**2*(u + 50)/5
Suppose -5*b = -0*b - 20. Suppose 5*q + 3 + 7 = -4*f, b*f + 20 = 0. Suppose -196*m - m**3 + 12*m**2 - 3*m**3 - 68*m**q = 0. Calculate m.
-7, 0
Let o(d) be the third derivative of -1/5*d**5 + 0*d**3 - 3*d**2 + 0 - 1/168*d**8 + 3/4*d**4 - 2/15*d**6 + 2/35*d**7 + 0*d. Let o(a) = 0. Calculate a.
-1, 0, 1, 3
Let b(c) be the first derivative of -4/5*c**5 + 20/3*c**3 + 2/9*c**6 - 16*c + 8/3*c**2 + 234 - 5/3*c**4. Solve b(a) = 0.
-2, -1, 1, 2, 3
Let l(t) = -3*t**4 - t**2 + t. Let p(h) = -2*h**5 - 43*h**4 + 40*h**3 + 69*h**2 + 3*h. Let n(x) = 3*l(x) - p(x). Let n(i) = 0. Calculate i.
-18, -1, 0, 2
Let x be 180/18 - (2 + 51/(-15) + (-752)/(-80)). Factor 14/11*r**3 - 24/11*r**x - 8/11*r + 0.
2*r*(r - 2)*(7*r + 2)/11
Factor -2/9*t**3 + 2*t + 18 - 2*t**2.
-2*(t - 3)*(t + 3)*(t + 9)/9
Suppose 13*z = -281*t + 283*t + 78, 2*z - 12 = 3*t. Determine d so that 0 + 6/5*d**4 + t*d + 0*d**3 + 0*d**2 + 3/5*d**5 = 0.
-2, 0
Suppose -1 + 13 = 4*r. Solve 1562*y**4 + 12*y**3 + 4*y**r - 1564*y**4 = 0.
0, 8
Let l(u) be the second derivative of -204*u + 0 + 0*u**3 + 1/40*u**6 - 3/16*u**5 + 0*u**2 + 1/4*u**4. Factor l(f).
3*f**2*(f - 4)*(f - 1)/4
Let z(c) be the third derivative of c**8/60480 + c**7/3780 - c**6/180 + 11*c**5/12 + c**3/3 + 37*c**2. Let g(v) be the third derivative of z(v). Factor g(x).
(x - 2)*(x + 6)/3
Let i be (-6940)/(-189) - 5152/34776. Factor -48/7*s**2 - 4/7*s**3 - 192/7*s - i.
-4*(s + 4)**3/7
Let u(t) be the second derivative of -t**5/10 - 2*t**4 + 256*t**2 + 1592*t. Let u(s) = 0. What is s?
-8, 4
Let n(r) be the second derivative of -1/24*r**5 + 0*r**2 - 54*r + 0 + 5/36*r**4 + 5/12*r**3. Solve n(g) = 0.
-1, 0, 3
Let y(q) = 5*q**2 + 4*q - 42. Let k(x) = 2*x**2 - 3*x. Let b(p) = -6*k(p) + 2*y(p). Determine h, given that b(h) = 0.
6, 7
Suppose -232562/3 + 1364/3*b - 2/3*b**2 = 0. Calculate b.
341
Let k(f) = f**3 + 10*f**2 + 8*f - 7. Let w be k(-9). Factor -4*m**w + 4*m - 9*m - 4*m + 16 - 3*m.
-4*(m - 1)*(m + 4)
Factor -21 + 11/2*c + 1/2*c**2.
(c - 3)*(c + 14)/2
What is q in 4*q**5 + 180*q**2 - 84*q**3 - 375796772*q - 4*q**4 + 375796772*q = 0?
-5, 0, 3
Let r(q) be the first derivative of q**6/18 - 2*q**5/3 + 11*q**4/4 - 44*q**3/9 + 10*q**2/3 - 1384. Factor r(a).
a*(a - 5)*(a - 2)**2*(a - 1)/3
Let v(t) be the second derivative of 169*t**6/180 - 481*t**5/60 + 179*t**4/24 + 59*t**3/9 + 5*t**2/3 - 23*t - 15. Solve v(y) = 0 for y.
-2/13, 1, 5
Let c = -737 - -1450. Let l be c/(-184) + (8 - 3). Factor -7/8*i - 15/8*i**2 - 1/8 - l*i**3.
-(i + 1)*(3*i + 1)**2/8
Factor 1/3*v**5 + 0*v**2 + 0*v**3 - 109/3*v**4 + 0 + 0*v.
v**4*(v - 109)/3
Let y be (6 - 6)/((-2)/9 - (-20)/9). Let z = -12 + 14. Let -1/2*f**4 - 1/2*f**z + 0*f + f**3 + y = 0. Calculate f.
0, 1
Let h(s) be the second derivative of -s**5/15 - 17*s**4/9 - 112*s**3/9 - 104*s**2/3 - 254*s. Find x, given that h(x) = 0.
-13, -2
Let p(a) be the second derivative of 1/34*a**4 + 0 + 0*a**3 - 7/170*a**5 + 0*a**2 - 1/357*a**7 + 40*a + 1/51*a**6. Determine n, given that p(n) = 0.
0, 1, 3
Let d(h) be the third derivative of -h**5/330 - 727*h**4/11 - 6342348*h**3/11 - 73*h**2 + 7*h. Factor d(w).
-2*(w + 4362)**2/11
Let m = 373437 - 2614056/7. Factor -240/7 + 228/7*i - m*i**3 - 48/7*i**2.
-3*(i - 2)**2*(i + 20)/7
Suppose 25 = -2*z - 22 + 57. Let u(m) be the third derivative of -1/8*m**4 + 0*m**3 + 0*m + 10*m**2 + 1/20*m**z + 0. Solve u(x) = 0.
0, 1
Factor -2/9*c**2 - 56/9*c + 62/3.
-2*(c - 3)*(c + 31)/9
Let o(s) be the second derivative of s**9/105840 - s**8/6720 + s**7/1470 + 33*s**4/4 - 16*s. Let f(g) be the third derivative of o(g). Factor f(a).
a**2*(a - 4)*(a - 3)/7
Suppose -33*i = 18*i - 204. Factor i*c**4 - 2*c**4 + 2*c**2 - 113*c**3 + 105*c**3 + 12*c.
2*c*(c - 3)*(c - 2)*(c + 1)
Let q(y) be the first derivative of -3*y**4/4 - 41*y**3 + 255*y**2/2 - 129*y + 2777. Find n, given that q(n) = 0.
-43, 1
Factor -30655*l**2 - 20 - 12 + 30637*l**2 + 80*l.
-2*(l - 4)*(9*l - 4)
Let f = -134 + 134. Suppose 5*v + 0*v = -f*v. Let 87*q**2 - 5*q**5 + 0*q + 5*q**3 + 2*q**4 - 89*q**2 + v*q = 0. What is q?
-1, 0, 2/5, 1
Find i such that 540*i**2 - 1/2*i**4 + 3321/2 + 57*i**3 + 1647*i = 0.
-3, 123
Let p(r) be the first derivative of 4/21*r**4 + 1/105*r**5 + 3 + 32/21*r**3 + 23/2*r**2 + 0*r. Let w(v) be the second derivative of p(v). Factor w(t).
4*(t + 4)**2/7
Let a(f) = 2*f**2 + 