6/360 + 41*g**5/90 + 599*g**4/72 + 259*g**3/9 + 641*g**2 + 2. Factor n(b).
(b + 1)*(b + 7)*(b + 74)/3
Let x(s) = -11*s**2 + 6*s**2 + 2*s**2 + s**2 + 3*s**2 - 256. Let c be x(16). Factor -j**2 + 1/4*j**3 + c + 0*j.
j**2*(j - 4)/4
Let f(k) be the first derivative of k**6/24 + k**5/5 - 5*k**4/16 - 3*k**3 - 9*k**2/2 + 6913. Let f(o) = 0. What is o?
-3, -2, 0, 3
Let s(v) be the second derivative of -v**6/24 + 251*v**5/8 - 103315*v**4/16 - 317515*v**3/6 - 320045*v**2/2 + 2*v + 1575. Factor s(r).
-5*(r - 253)**2*(r + 2)**2/4
Let u(z) be the second derivative of -30 - 1/6*z**4 - z - 2/3*z**3 - z**2. Solve u(l) = 0 for l.
-1
Suppose -156 = -108*y + 73 + 95. Factor -2/11*a**y + 216/11*a**2 + 93312/11 - 7776/11*a.
-2*(a - 36)**3/11
Let y(k) be the second derivative of 29/60*k**3 + 1/8*k**4 + 179*k - 1 - 1/10*k**2. Factor y(a).
(a + 2)*(15*a - 1)/10
Let x be 3/(-4) + (-10)/(-35) + (-1719)/(-84). Let y(n) be the first derivative of 2/13*n**2 - x + 2/39*n**3 + 0*n. Factor y(s).
2*s*(s + 2)/13
Factor -19*o**2 + 45*o**2 - 336*o**3 + 334*o**3 - 44*o.
-2*o*(o - 11)*(o - 2)
Suppose w + 26 = 30. Let t be w*2/6*(-102)/(-238). Factor 4/7*f**2 - t - 2/7*f**3 + 2/7*f.
-2*(f - 2)*(f - 1)*(f + 1)/7
Determine n so that -3/8*n**3 + 243 - 51/4*n**2 - 189/2*n = 0.
-18, 2
Suppose -112/5 - 1/5*u**4 + 0*u**3 + 59/5*u**2 + 54/5*u = 0. Calculate u.
-7, -2, 1, 8
Let a be ((-186)/(-19))/(-2) - (-20)/4. Let b(l) = 2*l**2 + 1. Let v be b(-1). Solve 0*x**2 + 0 - a*x**v + 0*x + 2/19*x**4 = 0 for x.
0, 1
Let o(x) be the first derivative of 0*x**2 + 2/3*x**3 - 50 - 2*x. Factor o(l).
2*(l - 1)*(l + 1)
Let x(v) = -209 + 9*v**2 + 42*v + 6*v**2 + 11*v - 96 + 82*v. Let f(q) = -8*q**2 - 68*q + 153. Let c(l) = 5*f(l) + 3*x(l). Find y such that c(y) = 0.
-15, 2
Let p(b) be the first derivative of -b**5/5 - 9*b**4/4 - 7*b**3/3 + 9*b**2/2 + 8*b + 9938. Factor p(w).
-(w - 1)*(w + 1)**2*(w + 8)
Let l(s) = -5*s + 26. Let d be l(11). Let b = d + 31. Factor 3*p - 7*p - 1 + 6*p - p**b.
-(p - 1)**2
Let h = 218 + -216. Factor -10*c**2 - 20 + 24*c + 15*c**h - 15*c**3 + 61*c - 25*c.
-5*(c - 2)*(c + 2)*(3*c - 1)
Let -30 + 1297*t + 105*t**2 - 3*t**2 - 552*t + 23*t**2 = 0. Calculate t.
-6, 1/25
Let d(p) be the first derivative of -p**6/1440 + p**5/40 - 3*p**4/8 + 121*p**3/3 - 27. Let f(h) be the third derivative of d(h). Determine s so that f(s) = 0.
6
Suppose -66*x + 2080 + 560 = 0. Let f be (18/x)/(11/((-220)/(-15))). Determine r, given that -6/5*r**2 - 3/5*r - f*r**3 + 0 = 0.
-1, 0
Let u(y) be the second derivative of y**4/14 + 47*y**3/7 + 1440*y**2/7 + 599*y + 1. Solve u(x) = 0.
-32, -15
Suppose 0 = 2*t + 3*d + 38 + 1, -4*t = -5*d + 23. Let z(v) = 3*v**2 + 38*v + 27. Let f be z(t). Factor 9/2*g**2 - 3*g**3 - f*g + 3/4*g**4 + 3/4.
3*(g - 1)**4/4
Let t(n) be the third derivative of -n**8/336 + 43*n**7/210 - 41*n**6/60 - n**5/30 + 83*n**4/24 - 41*n**3/6 - 54*n**2 + 4*n + 5. Factor t(x).
-(x - 41)*(x - 1)**3*(x + 1)
Let v(x) = -410*x - 8605. Let u be v(-21). Let c(s) be the second derivative of -14/3*s**2 - 4/15*s**u - 2*s**4 + 0 + 6*s - 40/9*s**3 + 2/45*s**6. Factor c(f).
4*(f - 7)*(f + 1)**3/3
Let r(y) be the first derivative of -y**4/8 - 7*y**3/2 - 26*y**2 - 42*y - 3545. Factor r(a).
-(a + 1)*(a + 6)*(a + 14)/2
Let w(g) be the second derivative of -5*g**4/12 + 430*g**3/3 + 870*g**2 + 1691*g. Factor w(f).
-5*(f - 174)*(f + 2)
Let t = -492635/6 + 82109. Factor t*g**3 + 0*g - 1/3*g**2 + 0.
g**2*(19*g - 2)/6
Let 6*w + 1020*w**2 - 6*w**3 - 1010*w**2 + 2*w + 7*w**3 - 64 = 0. Calculate w.
-8, -4, 2
Let z = -96035/4 + 24009. What is t in -21/4*t - z*t**2 + 0 = 0?
-21, 0
Let a(t) be the second derivative of -t**7/105 - t**6/25 + t**5/10 + t**4/10 - 4*t**3/15 + 188*t - 3. Find d such that a(d) = 0.
-4, -1, 0, 1
Let z(u) be the second derivative of -204*u + 7/27*u**3 - 5/54*u**4 + 0 - 1/3*u**2 + 1/90*u**5. Factor z(t).
2*(t - 3)*(t - 1)**2/9
Suppose -2902 = 10*r - 28152. Factor -l**2 - r*l**4 - 2*l**2 + 2528*l**4 - 3*l**3 + 3*l.
3*l*(l - 1)**2*(l + 1)
Factor 2/3*k**2 + 60*k - 1358/3.
2*(k - 7)*(k + 97)/3
Let d be (-2 - (-1576)/44) + (-2)/(-11). Let l = d + -30. Factor 3*c**2 + 3*c**3 - 9*c + 9*c + 0*c**4 - 3*c**5 - 3*c**l.
-3*c**2*(c - 1)*(c + 1)**2
Let u(p) be the first derivative of p**6/6 + 14*p**5/5 - 21*p**4/4 - 198*p**3 + 514. Let u(s) = 0. Calculate s.
-11, -9, 0, 6
Let c(k) be the first derivative of -k**4/18 - 23*k**3/9 + 134*k + 138. Let o(a) be the first derivative of c(a). Factor o(b).
-2*b*(b + 23)/3
Let s(y) = 3*y**3 + 24*y**2 - 9*y - 34. Let w(o) = -81 - 90 + 138 - 8*o + 23*o**2 + o**3. Let v(b) = -3*s(b) + 4*w(b). Let v(d) = 0. Calculate d.
-1, 2, 3
Let o(t) be the third derivative of -t**5/12 + 5*t**4/6 + 195*t**3/2 - 13*t**2 + 15. Suppose o(s) = 0. Calculate s.
-9, 13
Determine r, given that -7*r**2 + 0*r - 191/2*r**3 - 27/2*r**4 + 0 = 0.
-7, -2/27, 0
Let c = 648 + -646. Suppose c*a - 81 = -63. Factor 33/4*f**2 + 3/4 + a*f.
3*(f + 1)*(11*f + 1)/4
Solve -5400/17*i + 11664/17 - 17708/17*i**2 - 6/17*i**4 - 650/17*i**3 = 0 for i.
-54, -1, 2/3
Suppose -5*h + 27 = -0*h + 3*t, 0 = 2*h + 5*t - 26. Find d such that -36*d + 32 + 82*d + 34*d - 56*d**2 - 20*d**h + 12*d**4 = 0.
-2, -1/3, 2
Let h = -8 - -4. Let s be 1/(h - 9/(-2)). Factor -5*j**s + 16 + 5*j - 16.
-5*j*(j - 1)
Let k(b) be the first derivative of -1/12*b**2 - 1/3*b + 100 + 1/18*b**3. Factor k(i).
(i - 2)*(i + 1)/6
Let x be (108/(-90))/((-168)/420). Factor 2/13*w**x + 0 + 0*w**2 - 2/13*w.
2*w*(w - 1)*(w + 1)/13
Let g(j) = -j**3 - 7*j**2 - 5*j + 10. Let i be g(-6). Let l(u) be the first derivative of 8*u + 18*u**2 + 2*u**4 + 7*u**3 + 9*u**3 - 35 + 3*u**i. Factor l(d).
4*(d + 1)**2*(5*d + 2)
Let p be ((-12)/3)/(-3*(-5)/(-360)). Solve -76*y - 112*y - y**2 + 5*y**2 + p*y + 88 = 0 for y.
1, 22
Let y(s) be the first derivative of 2*s**3/33 - 31*s**2/22 + 42*s/11 + 738. Determine z so that y(z) = 0.
3/2, 14
Let n(l) = 4*l**2 + 70*l - 26. Let g be n(-29). Let b = g + -6524/5. Determine u so that -b - 4/5*u**2 + 4*u = 0.
1, 4
Let q(w) be the second derivative of 15/8*w**3 - 27/2*w**2 - 1/16*w**4 + 330*w + 0. Suppose q(x) = 0. What is x?
3, 12
Find u, given that 55/4*u - 27/2 - 1/4*u**2 = 0.
1, 54
Let d(y) = -35*y**3 + 50*y**2 + 165*y + 80. Let x(g) = -2*g**3 - g**2 + 4. Let k(h) = -d(h) + 20*x(h). Determine w, given that k(w) = 0.
-11, -3, 0
Let k(z) = 50271*z - 201082. Let q be k(4). Solve 2/9*r**q + 134/9 + 136/9*r = 0 for r.
-67, -1
Factor 28/9*x**3 + 38/9*x + 10/9 - 2/9*x**5 + 2/9*x**4 + 52/9*x**2.
-2*(x - 5)*(x + 1)**4/9
Suppose 16253*h - 104 = 8101*h + 8126*h. Factor -4/3*j**h + 1/3*j**5 + 0 + 0*j**3 + 16/3*j**2 - 16/3*j.
j*(j - 2)**3*(j + 2)/3
Let d = -492 + -1284. Let q = d + 12434/7. Factor q*b**2 + 32/7 + 16/7*b.
2*(b + 4)**2/7
Determine s, given that 2919*s**4 + 2932*s**4 + 7*s**2 - 330*s + 60*s**3 + 18*s**2 - 5846*s**4 = 0.
-11, -3, 0, 2
Suppose -o = -13*o + 84. Factor -9*f**3 - 3*f**3 + 5*f**2 + o*f**3 + 13*f**2 + 37*f**2.
-5*f**2*(f - 11)
Find d such that -9*d**4 + 26*d**3 - 3*d**2 + 2 - 2 - 23*d**3 - 3*d + 12*d**3 = 0.
-1/3, 0, 1
Factor 3/4*s**3 - 3 + 3/4*s**2 - 3*s.
3*(s - 2)*(s + 1)*(s + 2)/4
Let t be -5 + 0 + 8 + -234. Let i be 2/(-6)*t/154. Find m such that i*m**3 + m - 3/2*m**2 + 0 = 0.
0, 1, 2
Factor -20*w**2 - 90000 + 20100*w + 273*w**2 + 273*w**2 + 4*w**3 + 114*w**2 - 56*w**2.
4*(w - 4)*(w + 75)**2
Let l(b) be the third derivative of b**5/160 - b**4/48 + 2*b**2 + 693*b. Factor l(k).
k*(3*k - 4)/8
Let k be 65/10 - 3/(-2). Let o be k/52 - (-144)/78. Factor 4*s**o + 2*s**2 + 2*s**2 - 23*s**2 - 5 - 5*s**3 - 15*s.
-5*(s + 1)**3
Let m(z) be the second derivative of -z**5/50 - 26*z**4/3 + 87*z**3/5 - 128*z + 2. Factor m(g).
-2*g*(g - 1)*(g + 261)/5
Let s be 2256/144*(-27)/(-1). Let p be 3/(-15) - s/(-315). Factor -p + 2/7*k**4 + 6/7*k**2 - 8/7*k**3 + 8/7*k.
2*(k - 2)**2*(k - 1)*(k + 1)/7
Factor 9*r**2 + 220*r**2 - 9*r**2 + 38*r - 128*r**3 - 94*r - 18 - 18.
-4*(r - 1)**2*(32*r + 9)
Let v(a) be the third derivative of 0*a - 12*a**2 - 1/40*a**6 - 1/336*a**8 - 2/105*a**7 - 4 + 1/6*a**4 + 1/15*a**5 + 0*a**3. Factor v(z).
-z*(z - 1)*(z + 1)*(z + 2)**2
Let q(x) be the third derivative of -x**7/42 - x**6/12 + 7*x**5/12 + 5*x**4/3 - 10*x**3 - 3330*x**2. Solve q(f) = 0 for f.
-3, -2, 1, 2
Let k(z) be the third derivative of -z**6/90 + 2*z**5/9 + 