6/20 + 3115083*v**5/40 - 1058089859*v**4/24 - 44*v - 64. Factor b(l).
l**2*(l - 1019)**3/2
Let s(o) = 7942*o + 150901. Let h be s(-19). Suppose 12/5 + 1/5*m**h - 8/5*m - 1/5*m**2 = 0. Calculate m.
-3, 2
Factor 570*d**2 - 303*d - 204*d + 35*d**3 + 234*d - 360 - 308*d - 519*d.
5*(d - 2)*(d + 18)*(7*d + 2)
Let u = 39 - 43. Let t(g) = -5*g**3 + 3*g**2 - 3*g + 1. Let c(m) = 4*m**3 - 3*m**2 + 2*m. Let b(x) = u*c(x) - 3*t(x). Let b(v) = 0. Calculate v.
-1, 1, 3
Let z = 927752 + -2783224/3. Solve -26/15*f**2 + 2/15*f**3 + 112/15*f - z = 0 for f.
4, 5
Factor 8 + 1967*a**2 - 2000*a**2 - 152 - 798*a.
-3*(a + 24)*(11*a + 2)
Determine u so that -202*u**4 + 3*u**5 - 73*u**4 + 168*u**3 + 96*u**3 + 197*u**4 = 0.
0, 4, 22
Factor 206/7*d - 40/7*d**2 + 2/7*d**3 - 312/7.
2*(d - 13)*(d - 4)*(d - 3)/7
Let i(q) be the third derivative of -q**6/480 - 13*q**5/240 + q**4/2 - 8*q**2 + 9*q. Factor i(l).
-l*(l - 3)*(l + 16)/4
Let t(d) be the second derivative of 0*d**3 + 0 - 39*d + 1/16*d**5 - 5/24*d**4 + 0*d**2. Factor t(s).
5*s**2*(s - 2)/4
Let l(b) be the third derivative of 9/52*b**6 + 9/65*b**7 + 0*b**3 - 97*b**2 + 7/312*b**8 + 9/130*b**5 + 0*b**4 + 0*b + 0. Factor l(p).
2*p**2*(p + 3)*(7*p + 3)**2/13
Let l(z) be the third derivative of z**7/945 - 7*z**6/18 + 3811*z**5/90 - 10609*z**4/27 - 38*z**2. Factor l(h).
2*h*(h - 103)**2*(h - 4)/9
Let u(k) be the first derivative of -k**4/36 - 5*k**3/18 + 28*k - 14. Let t(m) be the first derivative of u(m). Determine c so that t(c) = 0.
-5, 0
Factor -495 + 285*l + 8*l**2 - 21*l**2 - 12*l**2 - 42*l**3 + 15*l**3 + 22*l**3.
-5*(l - 3)**2*(l + 11)
Let n(g) = -7*g**3 - 45*g**2 - 40*g - 2. Suppose -83*u + 74*u = 18. Let j(b) = 22*b**3 + 135*b**2 + 120*b + 7. Let q(y) = u*j(y) - 7*n(y). Factor q(o).
5*o*(o + 1)*(o + 8)
Suppose 0*g + 1403 = -5*f - g, 0 = 3*g - 6. Let a = -842/3 - f. Factor a*s**3 + 0*s - 4/3 + s**2.
(s - 1)*(s + 2)**2/3
Let q = 1344781/90 - 14942. Let w(v) be the third derivative of 0*v**4 - q*v**6 - 1/630*v**7 - 1/60*v**5 - 24*v**2 + 0*v + 0 + 0*v**3. Factor w(s).
-s**2*(s + 1)*(s + 3)/3
Let q be (-20)/(0 - 5) - 2. Factor -4 - 135*p**2 - 135*p**2 + 411*p**q - 140*p**2.
(p - 2)*(p + 2)
Let z(a) = -2*a**2 + a - 1. Let l(p) = -26*p**2 - 6*p + 8. Let d be ((-5)/15)/(4/72)*-2. Let i(v) = d*z(v) - l(v). Suppose i(u) = 0. What is u?
-10, 1
Let h(q) be the second derivative of -q**5/5 - 25*q**4/3 + 64*q**3/3 + 312*q**2 + 1496*q + 1. Solve h(m) = 0 for m.
-26, -2, 3
Factor 0*q + 0*q**2 - 4/3*q**4 + 272/3*q**3 + 0.
-4*q**3*(q - 68)/3
Suppose -6*i = -4*r + 192, -4*r + 371*i + 144 = 369*i. Find h such that 63/2*h - 3/2*h**2 - r = 0.
1, 20
Let u be (6/(-2)*-1)/(217/(-651)). Let s be (1116/(-96) + u/24)/(-14). Find j such that 9/7*j**4 + 0 - 6/7*j**3 + 0*j + 0*j**2 + s*j**5 = 0.
-2, 0, 1/2
Let l(n) be the third derivative of 117/44*n**4 + 1/220*n**6 + 0*n + 88*n**2 + 0 + 338/11*n**3 - 12/55*n**5. Factor l(g).
6*(g - 13)**2*(g + 2)/11
Determine q so that -48 - 2/5*q**2 + 68/5*q = 0.
4, 30
Let m(x) = 2*x**4 - 84*x**3 + 86*x**2 + 81*x - 91. Let r(o) = -o**4 + 84*o**3 - 86*o**2 - 82*o + 89. Let d(h) = 2*m(h) + 3*r(h). Factor d(l).
(l - 1)**2*(l + 1)*(l + 85)
Factor -78 - 2 - 216*c - 16*c**3 + 85 + 4*c**4 - 156*c**2 - 5.
4*c*(c - 9)*(c + 2)*(c + 3)
Let o(i) be the third derivative of -i**7/315 + 112*i**6/45 - 12544*i**5/15 + 1404928*i**4/9 - 157351936*i**3/9 + 2*i**2 + 12*i. What is h in o(h) = 0?
112
Let t(x) be the second derivative of x**8/2240 - 2*x**7/315 + x**6/240 + x**5/12 + 83*x**4/12 - 4*x - 4. Let o(z) be the third derivative of t(z). Factor o(p).
(p - 5)*(p - 1)*(3*p + 2)
Let d(k) = k**2 - 44*k + 88. Let s be d(2). Determine c so that 52*c - 174 + 63 + s*c**2 - 81 = 0.
-16, 3
Let q be 1 - ((-102)/(-9))/((-18)/27). Let y be (q/99)/((-7)/(-154)). Factor 0 - 1/3*l**3 + 0*l - 1/6*l**y + 0*l**2.
-l**3*(l + 2)/6
Let h = 38264 + -38264. Factor q**2 + 1/4*q**4 - q**3 + 0*q + h.
q**2*(q - 2)**2/4
Let i(z) = -z**3 - 27*z**2 + 29*z + 30. Let k be i(-28). Factor -26*q + 35*q**3 + 4*q**k - 50*q + 41*q**2 - 270 - 59*q + 5*q**4.
5*(q - 2)*(q + 3)**3
Let j(o) = -85*o**2 + 135*o - 150. Let c(v) = 4*v**2 + v. Let u(n) = 20*c(n) + j(n). Factor u(r).
-5*(r - 30)*(r - 1)
Factor -1106/9*t**2 - 2200/9 - 2/9*t**3 - 3304/9*t.
-2*(t + 1)*(t + 2)*(t + 550)/9
Let p(y) be the second derivative of y**7/315 - y**6/225 - y**5/150 + y**4/90 + 574*y. Let p(g) = 0. Calculate g.
-1, 0, 1
Let y(q) be the third derivative of q**6/360 + 2*q**5/9 + 19*q**4/18 + 17*q**2 + 253. Factor y(j).
j*(j + 2)*(j + 38)/3
Let y = 53 - 161. Let c = 110 + y. Solve -7*s**2 - 3*s - s - 2 + 6*s**c + s = 0 for s.
-2, -1
Suppose -81 = 14*q - 151. Suppose q*t - 18 = v, -5*v + 4*t - 38 = -32. What is a in 0*a + 0*a**v - 4/11*a**3 + 2/11*a**4 + 0 + 2/11*a**5 = 0?
-2, 0, 1
Let t(i) be the third derivative of i**5/12 + 70*i**4 + 2*i**2 - 2*i - 1070. Let t(g) = 0. Calculate g.
-336, 0
Let m be (1320/2772)/((100/(-6))/(-5)). Solve 54/7*j**2 + 81/7 + m*j**4 + 12/7*j**3 + 108/7*j = 0 for j.
-3
Let z(v) = 12*v - 75. Let c be z(12). Factor 2*b**4 + 293*b + 16*b**2 - 832*b + c*b**2 - 41*b**3 + 98*b**2 + 90*b**2 - 343.
(b - 7)**3*(2*b + 1)
Let k be (-1)/(4 - (-27)/(-7)). Let r = k - -10. Let -29 - w**3 + 12*w**2 - 18*w - w**r + 29 = 0. What is w?
0, 3
Suppose -60*b + 552 = 216*b. Factor -1/6*w**b + 13/6*w + 0.
-w*(w - 13)/6
Let t be -1151*(-6)/(-8244)*-2. Let u = t - 2/229. Factor -5/3*d**4 + 0*d + 0 - u*d**2 + 10/3*d**3.
-5*d**2*(d - 1)**2/3
Let y(i) be the third derivative of -114*i**2 - 1/18*i**3 + 0 + 0*i - 1/180*i**5 + 1/36*i**4. Determine l, given that y(l) = 0.
1
Let m(r) be the second derivative of -r**5/20 - r**4/6 + r**3/6 - r**2 + 8*r. Let l be m(-3). Factor 1/6 - 1/3*n + 0*n**2 - 1/6*n**l + 1/3*n**3.
-(n - 1)**3*(n + 1)/6
Suppose 5*q = -2*y + 68, -2*y = -q + 36 - 32. Suppose 5*j = 6 + 9. Determine p, given that -5*p**3 + 20 + j*p + 12*p - 5*p**2 + q*p - 7*p = 0.
-2, -1, 2
Let m(k) be the second derivative of -2255*k**4/12 - 2245*k**3/6 + 5*k**2 - 13579*k. Suppose m(h) = 0. What is h?
-1, 2/451
Let g(p) be the second derivative of -p**5/90 + 19*p**4/18 + 19*p**3 + 455*p**2/9 + 1679*p. Factor g(f).
-2*(f - 65)*(f + 1)*(f + 7)/9
Let k(z) be the second derivative of -z**5/70 - 5*z**4/3 + 143*z**3/21 - 72*z**2/7 - 965*z. Factor k(c).
-2*(c - 1)**2*(c + 72)/7
Let d = 541 + -538. Suppose d*l = 8*l + 20, 2*l = -c - 4. Factor 1/9*p**2 - 1/9*p**c - 2/9*p**3 + 2/9*p + 0.
-p*(p - 1)*(p + 1)*(p + 2)/9
Suppose 920*k = 919*k - 2*l + 4, l - 2 = -9*k. Factor 0 + 2/7*y**3 - 4*y**2 + k*y.
2*y**2*(y - 14)/7
Let d(m) be the first derivative of -m**6/30 + 16*m**5/15 - 32*m**4/3 - 8*m**2 + 127. Let v(h) be the second derivative of d(h). Suppose v(b) = 0. Calculate b.
0, 8
Let o be 34 - (-10 + 46 - 4). Factor 0 - 2/3*l**3 - 2/3*l**4 + 2/3*l + 2/3*l**o.
-2*l*(l - 1)*(l + 1)**2/3
Suppose 105 - 75 = -5*f. Let u be 27/f*6/(-9). Let 39*o + 84*o**2 + 12*o**4 - 3*o - 81*o**3 + 13*o**u = 0. What is o?
-1/3, 0, 3
Let n(k) be the second derivative of -k**6/120 - k**5/5 - 11*k**4/24 + 175*k**2/2 - 82*k. Let a(b) be the first derivative of n(b). Factor a(q).
-q*(q + 1)*(q + 11)
Let a(j) be the second derivative of j**5/70 + 206*j**4/7 - 236*j**3 + 4960*j**2/7 - 97*j - 27. Solve a(n) = 0.
-1240, 2
Let u(o) be the third derivative of -o**5/25 - 4*o**4/3 + 10*o**3 + 729*o**2. What is r in u(r) = 0?
-15, 5/3
Let v = -1959 + 1961. Let m(o) be the first derivative of -8/9*o**3 + 1/3*o**4 + 0*o - 2/45*o**5 + 27 + 8/9*o**v. Factor m(w).
-2*w*(w - 2)**3/9
Factor -129/7 + 1/7*b**4 - 384/7*b**2 - 386/7*b - 18*b**3.
(b - 129)*(b + 1)**3/7
Let v(k) = -9*k**5 + 15*k**4 - 6*k**3 + 10*k**2 - 5*k. Let d(u) = -5*u**5 + 7*u**4 - 2*u**3 + 6*u**2 - 3*u. Let m(j) = 10*d(j) - 6*v(j). What is w in m(w) = 0?
0, 1, 4
Let r(l) = -8*l**2 + 110*l - 354. Let m(w) = -25*w**2 + 330*w - 1060. Let x(a) = 3*m(a) - 10*r(a). Suppose x(k) = 0. What is k?
4, 18
What is w in 5/4*w**3 + 45 + 45*w + 55/4*w**2 = 0?
-6, -3, -2
Suppose -18*t + 20 = -14*t. Suppose -4*h = 2*g - 26, -2*h - t*g + 20 + 13 = 0. Determine w, given that 14*w + 13 - h*w**3 - 19 + 6*w**3 - 10*w**2 = 0.
1, 3
Let d(q) be the second derivative of -q**5/5 - 10*q**4/3 - 56*q**3/3 - 48*q**2 + 26*q + 11. Factor d(w).
-4*(w + 2)**2*(w + 6)
Let s(t) be the second derivative of -t**6/120 - 3*t*