.
5*(n - 2)**2*(n - 1)**2
Let v(i) be the third derivative of -i**5/120 - 5*i**4/48 + i**3/2 + 2*i**2 - 75. Let v(u) = 0. Calculate u.
-6, 1
Let q be 0/(-3) + -1 + 1 + 24. Let n = q - 22. Find h, given that -4/7*h**4 + 10/7*h**5 + 0*h + 4/7*h**n - 10/7*h**3 + 0 = 0.
-1, 0, 2/5, 1
Let a = -33 - -228. Let f be (3/(-20))/((-13)/a). Factor f - 3*m + m**3 + 1/4*m**4 - 1/2*m**2.
(m - 1)**2*(m + 3)**2/4
Let r(v) be the third derivative of v**5/100 + v**4/10 + 2*v**2 - 70*v. Factor r(y).
3*y*(y + 4)/5
Suppose -i = -3*y + 40, 3*i + 8 = 2*y - 7. Let u be (-90)/(-4)*5/15. Factor y - 55/2*l + u*l**2.
5*(l - 3)*(3*l - 2)/2
Suppose 3*f + s + s - 15 = 0, -3*f + 12 = s. Suppose -t + 12 = 5*k, -3*k - 29*t = -25*t - 14. Factor 1/2*o**k - 1/2*o**f + 0 + o.
-o*(o - 2)*(o + 1)/2
Let r be (26/(-5) - -5)*0. Let h be (-362)/(-72) - (14/9)/(-7). Find x such that 3/2*x + r + h*x**2 + 9/4*x**4 + 6*x**3 = 0.
-1, -2/3, 0
Let l(y) = -8*y**2 - 997*y - 49994. Let b(a) = 31*a**2 + 3989*a + 199978. Let m(h) = -3*b(h) - 11*l(h). Find f such that m(f) = 0.
-100
Let 105*y - 38*y**4 + 5*y**5 + 61*y**4 - 33*y**4 + 90 - 80*y**2 - 110*y**3 = 0. What is y?
-3, -1, 1, 6
Suppose -4*w**3 - w**4 - 4*w**4 + 8*w + 6*w**2 + 3*w**4 - 8 + 0 = 0. What is w?
-2, 1
Let c be (-9)/(-4860)*-3*-1. Let y(j) be the third derivative of 0*j**4 + c*j**5 + 0 + 0*j**3 + 0*j + 12*j**2. Solve y(d) = 0.
0
Let k = 179/67 - 1/201. Let 8/3*t + 0*t**2 + 4/3*t**4 - k*t**3 - 4/3 = 0. Calculate t.
-1, 1
Let c = 3679 - 3674. Let -c*u + 0 + 5/2*u**2 = 0. Calculate u.
0, 2
Let p(b) be the third derivative of -b**5/60 - 4*b**4/3 + 11*b**3/2 + 743*b**2. Factor p(o).
-(o - 1)*(o + 33)
Suppose -3*p - 3 + 18 = 0. Suppose 3*c + 12 = s, 3*s - p*s = -5*c - 20. Determine j, given that 1/3*j**4 + s*j + 0*j**2 + 0*j**3 + 0 = 0.
0
Factor -34234*s**2 + 290*s + 34239*s**2 + 245 - 40*s.
5*(s + 1)*(s + 49)
Let m = -5 + 7. Let z(n) = n**3 - 2*n**2 + 27*n - 85. Let p be z(3). Factor -2/7*v**4 + 2/7*v**m + 0*v - 1/7*v**3 + 1/7*v**p + 0.
v**2*(v - 2)*(v - 1)*(v + 1)/7
Let m(z) be the third derivative of 2/51*z**3 - 1/204*z**4 - 2/255*z**5 + 0 + 0*z + 1/340*z**6 + 2*z**2. Factor m(r).
2*(r - 1)**2*(3*r + 2)/17
Let g(p) = p**3 + 5*p**2 + 8*p + 19. Let a be (4/(-36)*-3)/((-2)/24). Let w be g(a). Let -1/3*y - 1/3*y**w + 2/3*y**2 + 0 = 0. What is y?
0, 1
Factor -648/19*x**3 - 252/19*x**2 - 2*x - 2/19 - 432/19*x**4.
-2*(x + 1)*(6*x + 1)**3/19
Let u(z) = -z - 6. Suppose -4*t + 4*x - 28 = 0, 3*t + t + 49 = -3*x. Let i be u(t). Factor 10*n**2 - 5*n**3 + 5*n**5 - 3*n**i - 2*n**4 - 5*n**2.
5*n**2*(n - 1)**2*(n + 1)
Let w(l) be the second derivative of l**6/540 + l**5/120 + l**4/72 + 10*l**3/3 + 14*l. Let i(j) be the second derivative of w(j). Let i(n) = 0. What is n?
-1, -1/2
Suppose 3*x - 3*o = 18, o + 17 = 3*x + 1. Suppose -3*z + 193 = x*r, -5*z - 5*r = -372 + 57. Solve -z*f**4 - f**5 + 0*f**3 - f**3 + 59*f**4 = 0 for f.
-1, 0
Suppose -266*d - 24 = -272*d. Let v(y) be the second derivative of -1/50*y**5 - 1/15*y**3 + 1/15*y**d + 0*y**2 - 3*y + 0. Suppose v(w) = 0. Calculate w.
0, 1
Let z be ((-24)/32)/((-2)/8). Suppose -8*x**2 - 3*x**4 + 5*x**2 - 6*x**3 + 0*x**z = 0. What is x?
-1, 0
Let m(q) = 2*q**3 - 18*q**2 + 17*q - 6. Let w be m(8). Factor 14*z**4 + z**2 + 0*z**w - 25*z**3 + z**4 + 9*z**2.
5*z**2*(z - 1)*(3*z - 2)
Let u(y) be the first derivative of -y**2/2 + y + 36. Let j(a) = 5*a**3 - 15*a**2 + 19*a - 9. Let d(r) = j(r) + 4*u(r). Factor d(n).
5*(n - 1)**3
What is f in 2/5*f**3 - 2/5*f - 4/15 + 2/15*f**4 + 2/15*f**2 = 0?
-2, -1, 1
Suppose -2*g = -4*b - 8, -11 + 1 = 5*b. Let u**2 + 9 - 8 + g*u**2 - 5 = 0. Calculate u.
-2, 2
Let g be (-2)/(-7) + 270/35. Suppose -4*t + g = 2*n, -4*t - n + 10 = -0*n. What is w in t*w**2 + 9/2*w - 3*w**3 + 3/2 - 3/2*w**5 - 9/2*w**4 = 0?
-1, 1
Let a(b) = -38*b + 344. Let o be a(9). Let d(h) be the second derivative of 9/40*h**5 + 0 - h**o + 4/3*h**3 - 7/8*h**4 + h. Factor d(p).
(p - 1)*(3*p - 2)**2/2
Let g be 15 + -1 - (-357 - 6)/(-33). Let l = 2/331 + 3637/662. Factor -3/2 - 4*c**2 - 2*c**g + l*c.
-(c + 3)*(2*c - 1)**2/2
Let z = -19978/3 + 6662. What is c in z*c**2 - 8/3 - 28/3*c**3 + 28/3*c = 0?
-1, 2/7, 1
Factor -7/2 - 13/2*k - 5/2*k**2 + 1/2*k**3.
(k - 7)*(k + 1)**2/2
Let l(u) be the third derivative of -u**7/1575 - u**6/900 + u**5/90 - u**4/60 + 73*u**2. Suppose l(w) = 0. Calculate w.
-3, 0, 1
Let p(k) be the first derivative of k**6/5 + 33*k**5/25 - 51*k**4/20 - 26*k**3/5 - 411. Find u, given that p(u) = 0.
-13/2, -1, 0, 2
Suppose -18 = -3*t + 6. What is g in -t*g**4 + 2*g - 13*g**3 - 4*g**4 - 3*g + 2*g = 0?
-1, -1/3, 0, 1/4
Let v = -155 - -158. Let -15*x**3 - 2*x**2 - 5*x**2 + v*x**4 + x**3 + x**5 - 8 + 18*x + 7*x**3 = 0. Calculate x.
-4, -2, 1
Let j be (92/(-322))/((-4)/112*26). Solve 4/13*y**2 + 2/13*y - 2/13*y**3 - j = 0 for y.
-1, 1, 2
Let l be (6/8)/((-2)/(-8)). Let p(a) = 5*a - l*a - a**2 + a - 4. Let w(r) = r - 1. Let b(v) = -p(v) + 4*w(v). Factor b(s).
s*(s + 1)
Solve -140*a**2 - 8*a**5 + 3*a**5 - 96*a**3 - 96*a**3 + 32*a**3 - 55*a**4 = 0.
-7, -2, 0
Factor 1/3*u**3 + 0 + 64/3*u - 16/3*u**2.
u*(u - 8)**2/3
Let b = 27217/23821 + 1/3403. Solve -8/7*c + 4*c**4 - 4*c**2 + b*c**3 + 0 = 0.
-1, -2/7, 0, 1
Factor 20*l - 6*l**2 + 200/3 + 1/3*l**3.
(l - 10)**2*(l + 2)/3
Let d(n) be the third derivative of n**5/36 - 65*n**4/24 + 95*n**3/9 - 5*n**2. Factor d(r).
5*(r - 38)*(r - 1)/3
Let u(a) be the second derivative of -a**7/7560 - a**6/2160 + a**5/180 - 11*a**4/6 - 23*a. Let s(p) be the third derivative of u(p). Factor s(c).
-(c - 1)*(c + 2)/3
Let u(n) = 10*n + 3. Let c be u(2). Let x = 53 - c. Find f such that -3*f**2 - f**2 + 30*f - x*f = 0.
0
Factor 3*m**4 - 58*m**3 + 112*m**3 - 4*m**4 - 55*m**3.
-m**3*(m + 1)
Suppose -7*v + 68 = 4*b - 3*v, 5*b - 2*v - 120 = 0. Let f = -20 + b. Factor -6*n - 4*n**2 + 10*n**f + 2*n - 10*n**2.
-4*n*(n + 1)
Let v(a) be the second derivative of -7*a**7/24 + 77*a**6/72 - 4*a**5/3 + 5*a**4/6 - a**3/2 - 9*a. Let x(p) be the second derivative of v(p). Solve x(n) = 0.
2/7, 1
Let v(t) = -t**3 - 17*t**2 - 2*t + 14. Let m(h) = -h**3 - 17*h**2 - 3*h + 13. Let o(b) = 3*m(b) - 4*v(b). Factor o(d).
(d - 1)*(d + 1)*(d + 17)
Suppose 35*l = 31*l - 28. Let p(z) = z**3 + 7*z**2 + 2*z + 16. Let x be p(l). Factor -d - 3/2 + 1/2*d**x.
(d - 3)*(d + 1)/2
Let n(r) be the first derivative of 0*r - 1521/25*r**5 + 29 + 0*r**2 - 4/15*r**3 + 39/5*r**4. Suppose n(b) = 0. What is b?
0, 2/39
Suppose 0 = -4*l + 31 + 17. Suppose i = x, 4*x = -0*x + l. Let -2/3*r**i - 2/3*r**2 + 2/3 + 2/3*r = 0. Calculate r.
-1, 1
Let i = -159 - -161. Let x(s) be the first derivative of i - 1/2*s - 1/6*s**3 - 1/2*s**2. Factor x(d).
-(d + 1)**2/2
Let o be -7 + 13/2 - (-1)/2. Let v(l) be the second derivative of 0*l**3 + o*l**2 + 1/20*l**4 + 2*l + 0 + 3/100*l**5. Factor v(f).
3*f**2*(f + 1)/5
Find p, given that -34*p**2 - 10*p**3 + 34*p**3 - 5 - 15*p**2 + 21 + 101*p**2 + 48*p + 4*p**4 = 0.
-2, -1
Suppose -16 = -2*s - 2*s. Factor 8*v**4 - s*v**4 + 24*v**2 + 1 - 14*v - 2*v - 16*v**3 + 3.
4*(v - 1)**4
Let l be 4/(-30)*-5*9. Suppose -s = l*n - 2*n - 8, 0 = -5*n - 4*s + 10. Solve 0*w - n*w**3 + 7*w**2 - 3*w - w**3 - w**2 = 0.
0, 1
Let l be (-1 - (-58)/30)/(210/300). Determine r, given that 6*r + 8/3*r**2 + l = 0.
-2, -1/4
Let v = -3 - 0. Let t(f) = -2*f. Let p be t(v). What is q in 0*q**3 - 4*q**3 - 15*q + p + q**3 + 12*q**2 = 0?
1, 2
Suppose -4*h = -2*h + 12, 3*h = j - 20. Factor -1/5*r - 1/5*r**j + 0.
-r*(r + 1)/5
Let b(z) = z**2 - 2*z - 15. Let a(x) = x**2 - x - 16. Let j(s) = -4*a(s) + 5*b(s). Let m be j(9). Solve -52*r**2 - 27*r - m - 4*r**4 - 16*r - 24*r**3 - 5*r = 0.
-2, -1
Let g(y) be the third derivative of y**5/480 - 7*y**4/192 + 60*y**2. Factor g(a).
a*(a - 7)/8
Let t(s) be the first derivative of s**4/90 - 2*s**3/45 - 14*s - 9. Let j(o) be the first derivative of t(o). Factor j(y).
2*y*(y - 2)/15
Let o(t) be the first derivative of -t**3/15 + 13*t**2/10 - 186. Suppose o(v) = 0. What is v?
0, 13
Let j(b) be the first derivative of 21/2*b**2 - 5 + 3/2*b**6 + 0*b**3 + 6*b - 6/5*b**5 - 15/2*b**4. Solve j(o) = 0 for o.
-1, -1/3, 1, 2
Let i(p) be the first derivative of -p**5/300 + p**4/120 - 21*p**2/2 + 19. Let t(n) be the second derivative of i(n). Factor t(o).
-o*(o - 1)/5
Factor -332 + 15*j**2 - 135*j + 5*j**2 + 262 - 10*