/7, 0
Let i(z) be the third derivative of -4/7*z**4 + 0*z**6 + 1 - 48/7*z**3 - 9*z**2 - 1/1176*z**8 + 0*z - 3/245*z**7 + 52/105*z**5. Let i(u) = 0. Calculate u.
-6, -1, 2
Let k be 5/40 - (-30)/16. Factor -11*c + 3*c**2 + 4*c**2 - 6*c**k + 10.
(c - 10)*(c - 1)
Let v be -30*(6 - 85/15). Let r(d) = -7*d**2 - 7*d + 22. Let g(z) = 3*z**2 + 3*z - 10. Let x(n) = v*g(n) - 4*r(n). Suppose x(y) = 0. Calculate y.
-3, 2
Let o(h) be the first derivative of -h**6/15 + 13*h**5/10 + 5*h**4/6 + h**2 + 2*h + 52. Let w(d) be the second derivative of o(d). Factor w(c).
-2*c*(c - 10)*(4*c + 1)
Suppose 10*y - 150 = -20*y. Find d such that 137*d + 30 - 40*d**2 - 10*d**2 - 73*d - 69*d + 5*d**y - 7*d**4 + 27*d**4 = 0.
-3, -2, -1, 1
Factor -1/3*z**4 + 0*z + 13/2*z**2 - 23/6*z**3 + 0.
-z**2*(z + 13)*(2*z - 3)/6
Let a(v) be the second derivative of -4 + 15*v**5 - 1125/2*v**4 + 11250*v**3 + 12*v - 1/6*v**6 - 253125/2*v**2. What is g in a(g) = 0?
15
Let s = 0 - -3. Suppose 5*w + 47 + 22 = s*o, 13 = o - 5*w. Suppose 15 + 13*d**2 - o*d - 22*d**2 + 1 + 10*d**3 - 25*d**2 = 0. What is d?
-1, 2/5, 4
Let i(a) be the third derivative of -a**8/8064 - 17*a**7/3024 - a**6/54 + 3*a**4/8 - 7*a**2 + a. Let v(b) be the second derivative of i(b). Factor v(o).
-5*o*(o + 1)*(o + 16)/6
Let b(c) be the second derivative of c**4/54 + 1085*c**3/27 - 4*c - 786. Factor b(r).
2*r*(r + 1085)/9
Let u(z) be the first derivative of 136 - 8*z**3 + 1/2*z**4 - 20*z + 21*z**2. Factor u(w).
2*(w - 10)*(w - 1)**2
Let z(i) = i**2 + 17*i - 24. Let w(q) = -2*q**2 - 4*q - 5. Let b be w(-4). Let s be z(b). Solve -25 + 81*h**3 - 96*h**3 + 5 - s*h - 55*h**2 = 0.
-2, -1, -2/3
Let u(o) be the second derivative of o**7/70 - o**6/40 - o**5/20 + o**4/8 - 69*o**2/2 - 74*o. Let t(d) be the first derivative of u(d). Factor t(w).
3*w*(w - 1)**2*(w + 1)
Let r(s) be the third derivative of 0*s**6 - 6*s + 1/630*s**7 + 1/18*s**3 + 0*s**4 + 0 - 1/90*s**5 + 7*s**2. Factor r(x).
(x - 1)**2*(x + 1)**2/3
Let u be (-94)/(-18) - 1*(-8)/(-36). Suppose x = 5*w + 17, 15 = 2*x - u*w - 4. Factor 2/5 - 2/5*t**x + 0*t.
-2*(t - 1)*(t + 1)/5
Find k such that -10/3*k**3 + 10/3*k**2 + 2/3*k**5 + 8/3*k - 8/3 - 2/3*k**4 = 0.
-2, -1, 1, 2
Let a = -416 + 380. Let g be (3/60)/((-3)/a). Solve -3/5*x**4 - 2/5*x**3 + 1/5 + 2/5*x**2 - 1/5*x**5 + g*x = 0.
-1, 1
Suppose -856815/2*j + 3585/2*j**2 + 68259595/2 - 5/2*j**3 = 0. Calculate j.
239
Let n(f) be the third derivative of 0*f + 1/50*f**5 - 3/40*f**4 - 71*f**2 - 1/600*f**6 + 2/15*f**3 + 0. Solve n(b) = 0 for b.
1, 4
Suppose -32 = -19*k + 25. Let l be k - (-125)/(-15) - -7. Suppose -5/3*d + 0 - l*d**2 + 5/3*d**3 + 5/3*d**4 = 0. What is d?
-1, 0, 1
Factor -1/3*k**2 - 1/3*k + 56/3.
-(k - 7)*(k + 8)/3
Suppose 0 = -154*o + 155*o - 25. Factor -164*h + 310*h - 15*h**3 + o*h**2 - 156*h.
-5*h*(h - 1)*(3*h - 2)
Factor 60*h + 3600*h**2 + 72000*h**3 + 1/3.
(60*h + 1)**3/3
Let y = -15 - -20. Let g(b) = -10*b - y*b**3 - 11*b**2 - 5*b**3 - 21*b. Let i(a) = 7*a**3 + 7*a**2 + 21*a. Let k(c) = -5*g(c) - 7*i(c). What is w in k(w) = 0?
-4, -2, 0
Let g(h) be the third derivative of 43*h**2 + 0 + 1/60*h**4 + 1/150*h**5 + 0*h**3 + 0*h. Factor g(q).
2*q*(q + 1)/5
Let w(b) be the third derivative of -b**8/25200 + b**6/900 + b**5/20 - b**3/6 + b**2 - 6*b. Let l(j) be the third derivative of w(j). Factor l(g).
-4*(g - 1)*(g + 1)/5
Let w(d) be the second derivative of d**4/21 - 12*d**3/7 + 64*d**2/7 - 21*d + 52. Find l, given that w(l) = 0.
2, 16
Let h(o) = -o**2 - 2*o**3 - 10*o**2 + 10 - 22 - o - 28 + 26*o**2. Let s be h(7). Factor 7/8*y**3 - 5/8*y**4 + 1/8*y**s - 3/8*y + 0.
-y*(y - 1)**2*(5*y + 3)/8
Let g(v) = v. Let r(b) = -4*b - 4*b**2 + 7*b + 6133 - 6069. Let w(p) = -3*g(p) + r(p). Factor w(a).
-4*(a - 4)*(a + 4)
Let m = 6919/110370 - -2/1415. Let u(r) be the second derivative of -1/195*r**6 + 2*r + 2/39*r**3 + 2/65*r**5 - m*r**4 + 0*r**2 + 0. Factor u(x).
-2*x*(x - 2)*(x - 1)**2/13
Let x = -5715 - -5721. Let q(v) be the second derivative of -22*v - 1/24*v**3 + 1/40*v**5 + 0 + 1/120*v**x + 1/8*v**2 - 1/24*v**4 - 1/168*v**7. Factor q(b).
-(b - 1)**3*(b + 1)**2/4
Let i(x) be the first derivative of 285 + 0*x**2 - 3/4*x**4 + 6*x**3 + 0*x. Factor i(n).
-3*n**2*(n - 6)
Let f(n) be the third derivative of 14*n**2 + 0*n + 4 - 31/56*n**4 - 15/7*n**3 - 1/140*n**5. Factor f(l).
-3*(l + 1)*(l + 30)/7
Let j(t) be the third derivative of 14/195*t**5 + 1/1365*t**7 + 0*t**3 - 14 - 1/78*t**6 + 3*t**2 - 2/13*t**4 + 0*t. Suppose j(n) = 0. Calculate n.
0, 2, 6
Let o be (-591)/54 - 4*11/(-4). Let a(f) be the first derivative of 11 - 1/3*f**2 + 0*f + o*f**4 - 4/27*f**3. What is v in a(v) = 0?
-1, 0, 3
Factor -9*k**3 - 420*k**2 - 5*k**4 + 106*k**3 - 20*k + 57 + 58*k**3 + 503.
-5*(k - 28)*(k - 2)**2*(k + 1)
Let r(a) = 40*a + 33. Let m be r(-14). Let s = -207 - m. Determine v, given that s + 60*v**2 - 3*v - 22*v**3 + 27*v**3 + 243*v = 0.
-4
Factor 56/9*i - 20/3 + 4/9*i**2.
4*(i - 1)*(i + 15)/9
Let s = -24616 + 123082/5. Find y, given that -14/5*y**2 + 32/5 + 16/5*y + s*y**3 = 0.
-1, 4
Let j be 5/5 + -5 + 4 - -4. Let c be (-14)/(-20) - j/(-8). Factor -3/5*a**3 + 7/5*a + 3/5*a**2 - 1/5*a**4 - c.
-(a - 1)**2*(a + 2)*(a + 3)/5
Factor -5*l**2 + 66*l - 140*l + 936 + 2*l**2 + 116*l.
-3*(l - 26)*(l + 12)
Let u(m) be the second derivative of -m**6/10 - 13*m**5/100 + 17*m**4/60 + 13*m**3/30 - m**2/5 - 1491*m. Determine p, given that u(p) = 0.
-1, 2/15, 1
Let i = 148 - 143. Suppose -9 - i = -7*g. Factor 198 + 6*n**2 - 234 - g*n**2.
4*(n - 3)*(n + 3)
Let r(h) be the first derivative of -h**3/3 + 7*h**2 - 38*h + 36. Let p be r(4). Find k, given that 2/9*k**3 + 4/9 + 8/9*k**p + 10/9*k = 0.
-2, -1
Let t = -6802 - -74546/11. Let s = -1347/55 - t. Determine c, given that -12/5*c**2 - 12/5*c - s = 0.
-1/2
Let n(h) be the second derivative of -2*h**7/147 + 2*h**6/21 + 152*h**5/35 + 388*h**4/21 - 64*h**3/21 - 1024*h**2/7 - 541*h - 4. Find u, given that n(u) = 0.
-8, -2, 1, 16
Factor -302/7*u**2 + 598/7*u - 298/7 + 2/7*u**3.
2*(u - 149)*(u - 1)**2/7
Let b(r) = -2*r**2 + 7*r + 9. Let y be b(-2). Let c = y + 20. Let -c*f**2 - 8*f + 19*f**2 - 24*f**5 + 12*f**3 + 12*f**3 - 20*f**4 = 0. Calculate f.
-1, 0, 1/2, 2/3
Suppose 14 = -5*s - 3*d, 191*d - 2 = 3*s + 192*d. Let 45/4*b**3 - 21/4*b**4 + 3/4*b**5 + 0 - 27/4*b**s + 0*b = 0. Calculate b.
0, 1, 3
Let w(o) be the first derivative of -4/5*o**3 - 2/5*o**4 + 200 - 1/15*o**6 + o**2 + 0*o + 12/25*o**5. Find m, given that w(m) = 0.
-1, 0, 1, 5
Let r be (-1 - (-4)/(-2)) + ((-168)/(-16) - 7). Let i(y) be the first derivative of -6*y - 5 + 1/3*y**3 - r*y**2. Factor i(f).
(f - 3)*(f + 2)
Let c(o) be the first derivative of 5*o**4/8 + 1700*o**3/3 - 5*o**2/4 - 1700*o + 6319. Factor c(a).
5*(a - 1)*(a + 1)*(a + 680)/2
Suppose -4*y + 312 = o, y - 6*o = -o + 78. Suppose y*u - 22 - 134 = 0. Let 0 - 2/3*b + 2/9*b**u = 0. What is b?
0, 3
Suppose 0 = 265*w - 239*w - 78. Let d(n) = -3*n**3 + 2*n**2 + 21*n + 2. Let r be d(w). Factor 0*j + 10/11*j**3 - 2/11*j**r + 0.
2*j**2*(5*j - 1)/11
Factor 3*l**4 + 4648*l + 1230*l**3 + 7308*l**2 + 1709*l + 9696 + 8211*l.
3*(l + 2)**3*(l + 404)
Let h = 276501/88 + -25135/8. Factor h*n**2 - 6/11 - 4/11*n.
2*(n - 3)*(n + 1)/11
Determine t, given that 5*t**2 - 5878*t + 5728*t - 2*t**2 + 1008 = 0.
8, 42
Let s(x) = -x**3 - 6*x**2 + 6*x - 4. Let g(u) = 6*u - 7. Let k be g(0). Let j be s(k). Factor -366*c**4 + 369*c**4 - 2*c**3 + 9*c**2 - 10*c**j.
3*c**2*(c - 3)*(c - 1)
Let q(w) be the first derivative of w**6/18 - w**5/3 + 5*w**4/12 + 5*w**3/9 - w**2 + 1568. Let q(v) = 0. Calculate v.
-1, 0, 1, 2, 3
Let r be -6 + 260/45 + (-60)/(-27). Suppose -18*k - 2 + 170*k**r - 19 - 167*k**2 = 0. Calculate k.
-1, 7
Let p(j) be the second derivative of j**7/315 - 2*j**6/45 + j**5/25 + 16*j**4/9 - 35*j**3/9 - 50*j**2 + 3048*j - 3. Determine l so that p(l) = 0.
-3, -2, 5
Factor -244036/5*o**3 + 0 - 2964/5*o**2 - 9/5*o.
-o*(494*o + 3)**2/5
Let v be (22/(-33))/((-4)/438). Let u = -68 + v. Factor -4*d**2 + 3*d + u*d - 16 + 12*d.
-4*(d - 4)*(d - 1)
Let r(b) = -143*b**3 - 2*b**2 + 3*b - 159. Let x(d) = -142*d**3 - 2*d**2 + 2*d - 106. Let o(q) = -2*r(q) + 3*x(q). What is g in o(g) = 0?
-1/70, 0
Let z be -2*39/72*(-10113)/43823. Factor z*y**3 - 2*y**2 + 2 - 1/4*y.
(y - 8)*(y - 1)*(y + 1)/4
Let c = 118 + -173. Let b be 2*2*c/(-22). S