ative of -1/21*y**3 - j*y - 20 - 1/7*y**2. Factor q(w).
-(w + 1)**2/7
Let y(c) be the second derivative of c**6/90 + 13*c**5/60 + c**4/3 + 3392*c. Solve y(t) = 0.
-12, -1, 0
Let w(i) be the second derivative of -i**4/12 + 169*i**3/3 - 28561*i**2/2 + 22*i + 45. Factor w(j).
-(j - 169)**2
Suppose -23 = -4*s + z, -27*s + 64 = -5*z - 72. Solve -7/2*n - 1 + n**2 + 7/2*n**s = 0.
-1, -2/7, 1
Let v(u) be the second derivative of u**7/294 + u**6/15 + 18*u**5/35 + 27*u**4/14 + 45*u**3/14 + 30*u + 10. Let v(m) = 0. What is m?
-5, -3, 0
Solve 98 + 2/5*g**3 - 402/5*g - 18*g**2 = 0.
-5, 1, 49
Let k be 16/(-96) + -2 + (-646)/12. Let h = -54 - k. Suppose 18*f**2 + 2 + 15*f**h - 34*f**2 + f = 0. What is f?
-1, 2
Let v = 2054 + -6061/3. Let s = -31 + v. Let 20/3*n - 20/3*n**3 - s*n**2 + 8/3 = 0. Calculate n.
-1, -2/5, 1
Let s(a) = -3*a**2 + 265*a + 268. Let z(l) = -4*l**2 - 2*l + 2. Let q(d) = -s(d) + z(d). Factor q(n).
-(n + 1)*(n + 266)
Let u(g) = -g**4 + 2*g**2 + g. Let y(d) = -3*d**5 + 15*d**4 - 3*d**3 - 36*d**2 + 9*d + 24. Let b(s) = 3*u(s) + y(s). Factor b(n).
-3*(n - 2)**3*(n + 1)**2
Factor 12414*u**2 - 600*u - 24843*u**2 + 12430*u**2.
u*(u - 600)
Suppose 0 = 70*l - 65*l - 10. Suppose 0 = -2*g + l, -k + 4*k - 11 = -5*g. Factor 2*a - 8*a + 10*a - k*a**2 + 2*a.
-2*a*(a - 3)
Let j be (-35)/(-15) - 2/(0 + 6). Suppose 3*m = -4*o - 0*o + 30, -76 = -5*m + j*o. Factor -9 + 18*s**3 + 34*s**3 - 39*s**2 + 19*s - 37*s**3 + m*s.
3*(s - 1)**2*(5*s - 3)
Let g = -1/9 + 13/9. Let f = -276526/3 + 92177. Find j, given that -f*j**2 - j**3 + 1/3 + j + g*j**4 = 0.
-1, -1/4, 1
Let z(g) = 52*g + 85. Let v be z(-7). Let q = -279 - v. Factor -1/2*r**3 + 1/2*r**2 + 0 + q*r.
-r**2*(r - 1)/2
Let t(c) be the first derivative of -c**6/240 + 3*c**5/40 - 5*c**4/12 + c**3 + 85*c**2/2 - 2*c - 73. Let n(s) be the second derivative of t(s). Solve n(w) = 0.
1, 2, 6
Let f(m) be the second derivative of m**10/7560 + m**9/756 + m**8/210 + 2*m**7/315 - 25*m**4/6 + 55*m. Let d(w) be the third derivative of f(w). Factor d(z).
4*z**2*(z + 1)*(z + 2)**2
Suppose 106*z = 112*z - 30. Let b(r) be the first derivative of -r**2 + z - 2/3*r**3 + 0*r. Factor b(v).
-2*v*(v + 1)
Let u(o) be the first derivative of 285/4*o**4 + 50*o**2 + 0*o - 142 - 5/6*o**6 + 295/3*o**3 + 17*o**5. Suppose u(n) = 0. Calculate n.
-1, 0, 20
Suppose 2*c = 12 + 6. Suppose c = 4*r - 3. Solve 245*f**r - 20*f - 295 + 295 + 300*f**4 = 0 for f.
-2/3, -2/5, 0, 1/4
Let u be 0*15/(-37 + 7). Let c(p) be the third derivative of -1/2*p**4 + 0 - 9*p**2 + 0*p**3 - 1/15*p**5 + u*p. Let c(t) = 0. Calculate t.
-3, 0
Suppose 635 = 250*f + 1585*f - 3035. Solve -5/2 - 1/3*k + 1/6*k**f = 0 for k.
-3, 5
Solve -37/7*y + 2 - 11/7*y**3 + 1/7*y**4 + 33/7*y**2 = 0 for y.
1, 2, 7
Let z = -5772 + 5787. Let o(v) be the second derivative of 0*v**2 - 1/2*v**3 + z*v - 1/4*v**4 + 0. Determine s so that o(s) = 0.
-1, 0
Let b(u) = -16*u**3 - u**2 + 65*u + 93. Let h(f) = -11*f**3 - 2*f**2 + 58*f + 94. Let t(r) = -2*b(r) + 3*h(r). Factor t(l).
-(l - 6)*(l + 2)*(l + 8)
Let h be (-3)/(-24)*-2 + 8477/6468. Let g(r) be the second derivative of 52/33*r**3 - 8/11*r**2 - 49/110*r**5 + 27*r + 0 - h*r**4. Solve g(q) = 0 for q.
-2, 2/7
Let c(r) be the third derivative of r**5/60 - 307*r**4/12 + 613*r**3/6 + 2*r**2 + r - 26. Determine s, given that c(s) = 0.
1, 613
Let r = 445237 - 5788079/13. Solve 0 + 0*u - 2/13*u**2 + r*u**4 + 0*u**3 = 0 for u.
-1, 0, 1
Solve 1/3*p**2 - 91 + 272/3*p = 0 for p.
-273, 1
Factor 31380372 + 95*n**3 + 40*n**3 + 3*n**4 - 726*n**2 - 31380972 + 1188*n.
3*(n - 2)**2*(n - 1)*(n + 50)
Let v be (-1)/(-1) + 3 + 300/(-30). Let n be (v/8)/(15/(-130)) + -4. What is i in 10*i + n + 15*i**2 + 5/2*i**4 + 10*i**3 = 0?
-1
Suppose 324 - 269 = 11*w. Let t(s) be the first derivative of -1/6*s**6 - 2 - 1/2*s**4 + 0*s**2 + 3/5*s**w + 0*s**3 + 0*s. Solve t(r) = 0.
0, 1, 2
Let f(a) be the first derivative of 1/12*a**3 - 5*a**2 + 100*a + 112. Factor f(u).
(u - 20)**2/4
Suppose 5*j**2 - 703*j - 538*j + 2429*j = 0. What is j?
-1188/5, 0
Let d be (-686)/3430 - ((-2)/5 + (-2237)/65). Let 98/13 + 420/13*l + d*l**2 = 0. Calculate l.
-7/15
Let i(w) = 2*w**2 + 7*w - 288. Let l be i(-14). Let m(u) be the third derivative of -1/20*u**5 + 0 + 1/4*u**4 + 2*u**3 - 1/80*u**l + 0*u - 5*u**2. Factor m(k).
-3*(k - 2)*(k + 2)**2/2
Let r(i) = i**2 - 1513*i + 1498. Let w(b) = 4*b**2 - 3025*b + 2986. Let u(n) = -5*r(n) + 2*w(n). Factor u(h).
3*(h - 1)*(h + 506)
Let k(f) = -14*f**2 + 52 + 26*f - 88*f + 29*f + 31*f. Let o(r) = 5*r**2 - 17. Let m(t) = 3*k(t) + 8*o(t). Determine b, given that m(b) = 0.
-5, 2
Let a(b) be the second derivative of b**9/3780 + 13*b**8/840 + 35*b**4/6 + 4*b - 1. Let q(d) be the third derivative of a(d). Factor q(m).
4*m**3*(m + 26)
Let v(z) be the second derivative of 5/13*z**3 + 1/78*z**4 + 0*z**2 + 29 - 2*z. Solve v(m) = 0.
-15, 0
Let q be -6 - ((-1)/2 + -3 + (-1716)/520). Suppose -26/5*p + q*p**3 - 36/5 + 14/5*p**2 = 0. What is p?
-9/2, -1, 2
Let j(s) be the second derivative of -s**7/189 + s**6/15 - 7*s**5/45 - 17*s**4/27 + 5*s**3/9 + 25*s**2/9 - 872*s - 3. Solve j(g) = 0 for g.
-1, 1, 5
Let c(j) be the third derivative of 50*j**2 + 2*j**3 + 0*j + 2/15*j**6 + 0 - 2/105*j**7 - 2/15*j**5 - 2/3*j**4. Find o, given that c(o) = 0.
-1, 1, 3
Let a be (-2)/8 + 5358/152. Suppose 12*l - 41*l + 33*l**3 - 35*l + 4*l + a*l**2 - 38*l**3 = 0. Calculate l.
0, 3, 4
Let r be -38 + 989/23 - (-3 + 42/(-25)). Let -2/25*t**2 - r - 44/25*t = 0. What is t?
-11
Let h(u) = -599*u - 37. Let a be h(-4). Let a*g**4 + 10*g**3 - 82*g**2 - 48*g - 2353*g**4 + 14*g**2 = 0. Calculate g.
-4, -2/3, 0, 3
Suppose -5458*y - 4 = -9 + 5. Let y - 16/3*t - 4/9*t**4 + 8/9*t**3 + 44/9*t**2 = 0. Calculate t.
-3, 0, 1, 4
Suppose 3305*j - 3350*j = -42 - 273. Factor 0 + 16/3*r + j*r**3 + 40/3*r**2.
r*(3*r + 4)*(7*r + 4)/3
Let v be 2 + 2 + (11 - 7)*-1. Suppose -4*t = -2*s - 2, 3 = 4*t - s - 2. Suppose -6/5*x**3 - 2*x**t + 2/5*x**5 + v - 4/5*x + 2/5*x**4 = 0. What is x?
-1, 0, 2
Let m(n) be the first derivative of -2/45*n**5 + 0*n + 1/9*n**3 - 25/2*n**2 + 1/12*n**4 + 29. Let v(h) be the second derivative of m(h). Factor v(d).
-2*(d - 1)*(4*d + 1)/3
Let q be ((-112)/1176)/(1/(-75)). Let g be (-85)/((14/(-16))/(2/8)). Factor q + 62/7*p**2 - 6/7*p**3 - g*p.
-2*(p - 5)**2*(3*p - 1)/7
Let b = 10090 + -4959. Factor -3*r**2 - 5047*r + b*r - 355 - 233.
-3*(r - 14)**2
Let o(q) be the second derivative of 5/4*q**5 - 5/12*q**4 + 0 + 0*q**2 - 10*q + 1/6*q**6 - 25/6*q**3. Determine t, given that o(t) = 0.
-5, -1, 0, 1
Factor 997142*o**2 - 12769 - 9936*o - 997369*o**2 - o**3 - 3059*o.
-(o + 1)*(o + 113)**2
Let y(d) be the second derivative of -d**6/75 + 36*d**5/25 + 73*d**4/30 + 745*d. What is o in y(o) = 0?
-1, 0, 73
Let y(j) be the second derivative of j**4/114 - j**3/57 - j - 14. Solve y(n) = 0 for n.
0, 1
Let t(s) be the first derivative of -s**7/168 - 5*s**6/72 - s**5/4 + 2*s**3/3 - 11*s**2 - 44. Let q(j) be the third derivative of t(j). Solve q(w) = 0.
-3, -2, 0
Let u(i) be the second derivative of -i**7/294 + i**6/10 + 7*i**5/10 + 9*i**4/14 - 97*i**3/42 - 75*i**2/14 - 408*i. Find j such that u(j) = 0.
-3, -1, 1, 25
Suppose 3996 = -17*y + 91*y. Suppose -y*h + 51*h + 18 = 2*l, -3*l - 7 = -4*h. Factor 0 + 1/11*t + 0*t**2 - 1/11*t**l.
-t*(t - 1)*(t + 1)/11
Let k(t) be the first derivative of -t + 0*t**4 + 71 - 2/3*t**3 + 1/15*t**5 - 4/3*t**2. Factor k(y).
(y - 3)*(y + 1)**3/3
Solve -676/3*q**2 + 704/3 - 28/3*q**4 - 320/3*q - 2/3*q**5 + 322/3*q**3 = 0 for q.
-22, -1, 1, 4
Let g(v) be the first derivative of v**4/5 + 32*v**3/15 - 128*v**2 + 6144*v/5 - 1272. Determine r so that g(r) = 0.
-24, 8
Let u(r) be the first derivative of -r**6/6 - 13*r**5/5 - 13*r**4 - 20*r**3 - 6870. Let u(k) = 0. What is k?
-6, -5, -2, 0
Let y be ((-40)/(-6))/(-2)*756/(-105). Let x be ((-6)/(-4))/(1/y). Suppose 3*k**2 - 51*k**3 + 3*k**2 - 21*k**4 - x*k**3 + 72*k**3 = 0. Calculate k.
-1, 0, 2/7
Suppose -28/9*x**4 - 136*x**2 - 412/9*x**3 - 512/9 + 2176/9*x = 0. What is x?
-8, 2/7, 1
Suppose -891 = -355*r + 1594. Let u(d) be the second derivative of 0*d**2 + 2/147*d**r + 0 + 0*d**3 + 0*d**4 + 32*d + 0*d**5 + 2/105*d**6. Factor u(x).
4*x**4*(x + 1)/7
Let v = -165 + 167. Let l = 296/81 + -2287/648. Determine n, given that 1/4*n**v + 1/8*n**3 + 0 + l*