at q(k) = 0.
-72, -4
Factor 2*l**2 - 201*l + 72*l - 225*l + l**2 + 1650 + 9*l.
3*(l - 110)*(l - 5)
Let g(y) be the second derivative of -1/21*y**7 + 1/3*y**6 - 3*y - 7/10*y**5 + 0*y**2 + 34 + 1/2*y**4 + 0*y**3. Let g(w) = 0. What is w?
0, 1, 3
Find n, given that -103 + 2*n**2 - 19*n - 11*n + 8*n + 139 = 0.
2, 9
Let v(o) = 2*o**3 + 12*o**2 - 10*o. Let d(q) = 55*q - 285. Let x be d(5). Let p(r) = -r - 2*r**2 + 2*r + r**2. Let f(n) = x*p(n) - v(n). What is l in f(l) = 0?
-1, 0
Let r(u) be the second derivative of 13*u**5/4 - 215*u**4/2 + 1050*u**3 + 500*u**2 - 2*u + 317. Factor r(w).
5*(w - 10)**2*(13*w + 2)
Factor -1/5*r**2 - 512/5 + 132/5*r.
-(r - 128)*(r - 4)/5
Let k = 923 + -923. Let j(h) be the second derivative of 5/6*h**3 + 15*h + 0 + 5/12*h**4 + k*h**2. Factor j(x).
5*x*(x + 1)
Suppose 32 - 65 = -11*k. Suppose -8 = -p - 3*m, -k = 2*p - 5*m + 3. Factor 3/5*v**p - 1/5*v**4 + 4/5*v - 2/5*v**3 - 4/5.
-(v - 1)**2*(v + 2)**2/5
Let x(b) be the third derivative of -b**5/210 - 9*b**4/4 - 740*b**3/21 - 2*b**2 - 1671. Find s such that x(s) = 0.
-185, -4
Let c(j) be the second derivative of j**6/15 + 49*j**5/10 + 15*j**4 - 196*j**3/3 - 376*j**2 + 576*j + 1. Determine l, given that c(l) = 0.
-47, -2, 2
Let u be (-1435)/82*(2 - (-1 - -5)). Suppose -u*x = -37*x + 6. What is i in 1/3 + 2*i + x*i**2 + 4/3*i**3 = 0?
-1, -1/4
Let x(p) be the third derivative of p**8/504 - 2*p**7/35 - 2*p**6/15 + 49*p**5/45 - 19*p**4/12 - 5*p**2 - p + 19. Determine w so that x(w) = 0.
-3, 0, 1, 19
Factor -44 - 59*b**2 - 17 - 39 - 130*b + 27*b**2 - 2*b**3.
-2*(b + 1)*(b + 5)*(b + 10)
Let w(b) be the third derivative of b**5/510 + b**4/12 + 20*b**3/17 + 100*b**2 - 2*b. Determine i, given that w(i) = 0.
-12, -5
Let z be 14/(-6)*(-49)/((-5145)/(-90)). Let w(u) be the second derivative of 0*u**3 + 0 - 1/180*u**6 + 0*u**z - 3*u - 1/120*u**5 + 1/36*u**4. Factor w(y).
-y**2*(y - 1)*(y + 2)/6
Let i(h) be the first derivative of -1/3*h**2 + 29/30*h**5 + 2/3*h - 178 - 5/12*h**6 - 11/6*h**3 + 19/24*h**4. Suppose i(o) = 0. Calculate o.
-1, -2/5, 1/3, 1, 2
Let w(n) be the third derivative of n**8/112 + 69*n**7/70 + 163*n**6/20 + 19*n**5 - 33*n**4 - 256*n**3 - 2691*n**2. Suppose w(u) = 0. What is u?
-64, -2, 1
What is z in 0 - 96*z + 47*z**2 + 97/2*z**3 + 1/2*z**4 = 0?
-96, -2, 0, 1
Let h(r) = -r**4 - r**2 + r - 1. Let l(k) = k**4 - 6*k**3 - k**2 + 3*k - 3. Suppose 30 = 5*z + 5*z. Let f(c) = z*h(c) - l(c). Factor f(m).
-2*m**2*(m - 1)*(2*m - 1)
Let j(m) be the second derivative of -m**8/3360 - 11*m**7/1260 + m**6/360 + 11*m**5/60 - m**4/6 + 36*m. Let v(w) be the third derivative of j(w). Factor v(s).
-2*(s - 1)*(s + 1)*(s + 11)
Let u = -990376/5 + 198078. Factor 0 + 2/5*c**5 + 18/5*c**3 - 2*c**4 - u*c**2 + 4/5*c.
2*c*(c - 2)*(c - 1)**3/5
Let k(f) be the second derivative of 3*f**5/100 + 7*f**4/4 - 164*f**3/5 + 1032*f**2/5 - 145*f + 3. Factor k(n).
3*(n - 4)**2*(n + 43)/5
Let 411 - 97020*f**5 - 335*f**4 - 1280*f**3 - 322 - 760*f**2 + 631 + 96995*f**5 + 1680*f = 0. What is f?
-6, -2, -2/5, 1
Suppose 0 = -3*c - 2*v + 2, 2*c - 64 + 53 = -11*v. Let c + 1/6*k**2 - 1/6*k = 0. What is k?
0, 1
Let d be -6 - -10 - (-63)/(-15) - (-74)/148. Determine c, given that -d*c**2 + 1/10 - 1/5*c = 0.
-1, 1/3
What is j in -10/7*j**5 + 1744/7*j**4 + 30976/7 - 74626/7*j**3 - 123548/7*j**2 - 16192/7*j = 0?
-1, 2/5, 88
Let i be ((-27)/36)/((-2)/(-392)). Let y be 3/(-12) - (i/12 + 3). Factor -12*b - b**3 + y + 10*b**3 + 42*b - 3*b**3 + 27*b**2.
3*(b + 1)*(b + 3)*(2*b + 1)
Let t(i) = -3*i**2 - 1050*i + 48. Let h(b) = 12*b**2 + 4198*b - 184. Let a(p) = -6*h(p) - 23*t(p). Suppose a(n) = 0. What is n?
-346, 0
Let j(u) = -3*u**2 - 1965*u - 320844. Let q(x) = 3*x**2 + 1966*x + 320863. Let w(i) = -4*j(i) - 3*q(i). Let w(b) = 0. What is b?
-327
Let u be (156/(-8))/13*-2 + -1. Let q(i) be the second derivative of -1/9*i**4 + 16/3*i**u + i - 4/9*i**3 + 0. Find g such that q(g) = 0.
-4, 2
Let g be -4 - 1/4*-4. Let k(c) = -36*c**2 - 36*c + 16. Let b(y) = -7*y**2 - 7*y + 3. Let f(s) = g*k(s) + 16*b(s). Determine o, given that f(o) = 0.
-1, 0
Find h such that -173*h + 1042*h - 4696 + h**4 - 25*h + 3853 - 844*h**3 + 460*h**2 + 382*h**2 = 0.
-1, 1, 843
Let t(c) = 2*c**2 - 24*c + 22. Let r(h) be the third derivative of -h**5/60 + h**4/2 - 11*h**3/6 + 54*h**2. Let q(y) = -9*r(y) - 4*t(y). Factor q(j).
(j - 11)*(j - 1)
Let c(u) = 5*u - 43. Let q be c(9). Let j be q + (-4)/(-16)*4. Let -3/4*m**4 + 0*m**2 - 3/2*m**j + 3/4 + 3/2*m = 0. Calculate m.
-1, 1
Let j(o) be the first derivative of -o**6/9 + 8*o**5/15 - 2*o**4/3 + 85. Factor j(q).
-2*q**3*(q - 2)**2/3
Let q(w) = -5*w**2 + 87*w - 91. Let r be (0/(-3))/(-5) - -6. Let k(z) = z**2 + z + 1. Let t(i) = r*k(i) + 2*q(i). Let t(p) = 0. What is p?
1, 44
Find v, given that -641*v + 105*v**2 + 3*v**3 + 704*v - 897 + 726*v = 0.
-23, -13, 1
Let r(l) be the first derivative of -1/2*l**4 + 2/3*l**3 - 2/25*l**5 + 4/5*l**2 - 8/5*l + 1/15*l**6 - 235. Let r(y) = 0. Calculate y.
-2, -1, 1, 2
Let y(u) be the second derivative of -8*u + 0*u**3 - 1/33*u**4 + 1/110*u**5 + 0*u**2 + 1/165*u**6 + 2. Factor y(k).
2*k**2*(k - 1)*(k + 2)/11
Let a be -2 + (-9)/(63/(-28)). Let -49*i**2 + 4*i**5 + 48*i - 52*i**3 + 59*i**a + 16*i**4 - 26*i**2 = 0. Calculate i.
-6, -1, 0, 1, 2
Let w = -180655 - -180657. Solve 28125/2 + 5/2*h**w - 375*h = 0.
75
Let w = -41 - -31. Let v(r) = r + 15. Let b be v(w). Factor -2419 + 2419 - 4*u**b + 4*u + 8*u**4 - 8*u**2.
-4*u*(u - 1)**3*(u + 1)
Suppose -m + l + 6 = 0, m + 5*l + 10 = -8. Let c(h) be the second derivative of -7/2*h**3 - 3*h**m - 16*h + 5/4*h**4 + 0 + 3/5*h**5. Solve c(k) = 0 for k.
-2, -1/4, 1
Suppose -4*m = -3*w - 9, 7*w = -5*m + 4*w + 18. Factor 17*r**2 + 93*r**3 - 7*r**2 - 7*r**m - 51*r**3.
5*r**2*(7*r + 2)
Let t be 12*(-98)/336*16/(-5). Factor 88/5*z**2 + t*z**3 + 8/5 + 46/5*z.
2*(2*z + 1)**2*(7*z + 4)/5
Suppose 0 = -3*g - 53*g + 30184. Let y = g + -3771/7. Factor y*c - 1/7 - 1/7*c**2.
-(c - 1)**2/7
Let p = -2503 + 2505. Let a(h) be the third derivative of 22*h**p + 1/60*h**5 - 3/10*h**3 - 1/600*h**6 + 0 + 0*h - 1/40*h**4. Suppose a(g) = 0. Calculate g.
-1, 3
Suppose 68*b - 148*b + 480 = 0. Let i(s) be the first derivative of s**3 - b*s + 6 - 3/2*s**2. Factor i(t).
3*(t - 2)*(t + 1)
Let u be ((15/9)/(-1))/(190/(-342)). Let k(l) be the second derivative of -1/2*l**4 + 1/2*l**u + 0*l**2 - 34*l + 3/20*l**5 + 0. Factor k(x).
3*x*(x - 1)**2
Let w = -3016/21 - -12085/84. Factor -11/4*u**3 - 6*u**2 - w*u**4 + 0 + 9*u.
-u*(u - 1)*(u + 6)**2/4
Let r be -20 + 1 + -14 + 12. Let c be (-42)/(-12)*(-18)/r. Determine x, given that 196/9 + 64/9*x**4 + 928/9*x**c + 1196/3*x**2 + 1624/9*x = 0.
-7, -1/4
Let f(s) be the second derivative of -s**4/21 - 1739*s**3/7 + 2609*s**2/7 - 2023*s. Factor f(q).
-2*(q + 2609)*(2*q - 1)/7
Suppose -5*a - 40 = -7*a. Factor -14*p + 18*p + 12*p**2 - a*p**4 - 23*p**3 + 67*p**3 - 40*p**2.
-4*p*(p - 1)**2*(5*p - 1)
Let u(r) be the first derivative of r**5 + 85*r**4/2 + 1265*r**3/3 - 1530*r**2 + 1620*r - 3213. Solve u(i) = 0 for i.
-18, 1
Let t = -12 - -1. Let f = t - -15. Determine k so that -5 - 28*k**f - 1 - 20*k**3 + 20*k - 6 + 4 + 36*k**2 = 0.
-1, 2/7, 1
Factor 1/6*w**3 - 40/3*w + 0 - 19/3*w**2.
w*(w - 40)*(w + 2)/6
Let l(x) be the first derivative of 4*x**5/5 - 6*x**4 + 52*x**3/3 - 24*x**2 + 16*x + 563. Factor l(z).
4*(z - 2)**2*(z - 1)**2
Let h(q) = q**3 - 3*q**2 - 2*q - 2. Let w be h(4). Suppose -2*z = v - 12, -13*v + w = -12*v + 5*z. Solve 166*j + v + 14 + 3*j**2 - 187*j = 0 for j.
2, 5
Let w(s) = 45*s**4 + 1600*s**3 - 135*s**2 - 4680*s - 3025. Let p(g) = -5*g**4 - 178*g**3 + 15*g**2 + 520*g + 336. Let z(q) = 35*p(q) + 4*w(q). Factor z(o).
5*(o - 2)*(o + 1)**2*(o + 34)
Let m = 47436 + -47434. Factor 2*n**m + n**3 + 0 - 3/2*n + 1/2*n**5 - 2*n**4.
n*(n - 3)*(n - 1)**2*(n + 1)/2
Let x be 6 + 1 + (-3705)/665. Let o(c) be the first derivative of -x*c**2 - 13 - 24/7*c + 4/21*c**3. Factor o(y).
4*(y - 6)*(y + 1)/7
Suppose -101*b + 758 = 235*b - 1258. Let n(k) be the third derivative of 0 + 0*k + 1/30*k**5 - 4/9*k**3 + 0*k**4 - 34*k**2 + 1/180*k**b. Factor n(p).
2*(p - 1)*(p + 2)**2/3
Factor 72 - 225 + 837*j - 6*j**2 - 99 + 20 - 185.
-3*(j - 139)*(2*j - 1)
Let t(j) be the second derivative of -j**5 - 41*j**4/12 + 239*j**3/3 + 12*j**2 + 5814*j. Find p, gi