*(n - 1)/7
Suppose 5*o + 50 = 5*x, -o = -5*x + 48 - 6. Suppose 3*b + 6 = 4*b. Factor 0*n**4 + 8*n - b + x*n**3 - 12*n**2 - 2*n**4 + 5 - 1.
-2*(n - 1)**4
Let y(h) be the first derivative of -26*h**3/15 + 24*h**2/5 + 8*h/5 + 9. Factor y(m).
-2*(m - 2)*(13*m + 2)/5
Let z(o) be the third derivative of -1/120*o**5 + 13*o**2 + 0*o + 0*o**3 - 7/48*o**4 + 0. Factor z(n).
-n*(n + 7)/2
Suppose -3*a = -5*a + 14. Suppose -g - a = -9. Find m such that -2/7*m**g + 2/7*m**3 + 2/7*m**4 - 2/7*m + 0 = 0.
-1, 0, 1
Let u(s) be the third derivative of 0*s**3 - 38*s**2 + 0*s**6 - 1/630*s**7 + 0*s**4 + 0 + 1/180*s**5 + 0*s. Factor u(m).
-m**2*(m - 1)*(m + 1)/3
Factor 6/11*b - 2/11*b**2 + 8/11.
-2*(b - 4)*(b + 1)/11
Let a(n) be the second derivative of n**8/2520 + n**7/840 - n**5/360 + 2*n**3 + 4*n + 1. Let s(o) be the second derivative of a(o). Find j, given that s(j) = 0.
-1, 0, 1/2
Let g = -215 - -218. Let i(y) = -2*y. Let c(b) be the first derivative of b**3/3 - b**2 + 1. Let a(q) = g*i(q) - 2*c(q). Determine j, given that a(j) = 0.
-1, 0
Let h(w) be the third derivative of -w**6/360 + 13*w**5/10 - 507*w**4/2 + 26364*w**3 - 29*w**2. Factor h(c).
-(c - 78)**3/3
Factor 12*z + 32*z + z**4 - 42*z**2 + 482*z**3 - 15 - 470*z**3.
(z - 1)**3*(z + 15)
Let z = 9953/12922 - 1/994. Suppose 64/13*y**2 - z*y**5 + 4/13 + 44/13*y**4 - 76/13*y**3 - 2*y = 0. Calculate y.
2/5, 1
Let r(t) be the first derivative of -1/32*t**4 + 5/12*t**3 - 17/16*t**2 + 6 + t. Let r(k) = 0. Calculate k.
1, 8
Suppose -v = -1, -v = -2*l + 3*v + 8. Let n = -40/7 + l. Factor 0*q**3 + 2/7*q**4 + 0*q + n - 4/7*q**2.
2*(q - 1)**2*(q + 1)**2/7
Let x(a) = 18*a**2 + 3*a - 2. Let g be x(1). Suppose 5*p = 2*q + q + g, -5*q + 3*p = 5. Factor -3/4*n + 1/4*n**q + 0.
n*(n - 3)/4
Let r(m) be the third derivative of -m**8/1008 + m**7/210 + m**6/72 - m**5/12 - m**4/18 + 2*m**3/3 - 12*m**2 + 1. Let r(d) = 0. Calculate d.
-2, -1, 1, 2, 3
Let w = 4293 + -17087/4. Solve 5*i**3 - 5 - 25*i**2 + w*i = 0 for i.
1/2, 4
Let m = -11975/8 - -1497. Let u(n) be the second derivative of 1/4*n**2 + 0 + 1/48*n**4 - m*n**3 + 6*n. Factor u(v).
(v - 2)*(v - 1)/4
Let x = 9 + -5. Suppose 16 = 4*h + x. Factor 13*i**3 - 4*i**h - 2 + 2*i**4 - 5*i**3 - 4*i.
2*(i - 1)*(i + 1)**3
Solve -288/23*a + 2/23*a**4 + 4*a**2 + 162/23 + 32/23*a**3 = 0.
-9, 1
Find r such that 4/3*r**5 + 0*r + 8*r**2 + 16/3*r**4 + 0 - 44/3*r**3 = 0.
-6, 0, 1
Let m(g) = -2*g - 34. Let u be m(-17). Let 10*j**2 + 5*j + u*j - 5 + 77*j**5 - 5*j**4 - 10*j**3 - 72*j**5 = 0. Calculate j.
-1, 1
Let q(i) be the first derivative of -1 - 6*i**2 + 2/9*i**3 + 54*i. Determine f, given that q(f) = 0.
9
Let n(v) be the second derivative of v**7/504 + v**6/24 + 3*v**5/8 - 3*v**4 + 34*v. Let y(u) be the third derivative of n(u). Determine f, given that y(f) = 0.
-3
Factor 21*p**2 - 309*p**3 - 9*p - 291*p**3 + 3*p**4 + 585*p**3.
3*p*(p - 3)*(p - 1)**2
Let k(b) = b**2. Let p(z) = -z**2 - 1. Let x(i) = 2*k(i) + p(i). Factor x(v).
(v - 1)*(v + 1)
Suppose 2*l = -3*v + 88, 0 = 3*v - 4*v + 3*l + 33. Suppose 22*o = v*o. Factor -3/5*m**2 - 6/5*m - 57/5*m**4 + 9*m**3 + 21/5*m**5 + o.
3*m*(m - 1)**3*(7*m + 2)/5
Let b be 3 - (5 + -5 + 1)*-1. Determine l so that 6240*l + 46*l**4 + 12*l**b + 1200 + 1560*l**3 + 8712*l**2 + 18*l**4 - l**4 = 0.
-10, -2/5
Let y(g) be the second derivative of 8/9*g**3 - 1/4*g**4 + 2/3*g**2 - 33*g + 0. Factor y(t).
-(t - 2)*(9*t + 2)/3
Suppose 3*b + 4*r + 4 = 0, 3*b + 2*r + r = -3. Let b + 0*q**4 + 0*q**2 + 2/11*q**5 + 0*q - 2/11*q**3 = 0. Calculate q.
-1, 0, 1
What is y in -2/3*y**3 + 0 - 200/3*y**2 - 5000/3*y = 0?
-50, 0
Let m(s) = -3*s**2 - 1. Let r(j) = 6*j**2 - 22*j - 15. Let q(w) = 2*m(w) + 2*r(w). Factor q(u).
2*(u - 8)*(3*u + 2)
Let o = -2/2555 - -7669/5110. Factor -o*y**2 + 0 - 3/2*y.
-3*y*(y + 1)/2
Let u = 44 - 26. Solve 93*i**2 + 625 + 4*i**3 + i**3 - u*i**2 + 375*i = 0 for i.
-5
Suppose 0 = 11*b - 10*b + 5*b. Let m(c) be the second derivative of b + 4/39*c**3 - 1/78*c**4 + 0*c**2 + c. Let m(g) = 0. What is g?
0, 4
Let a(u) be the second derivative of u**8/84 - 2*u**7/105 - u**6/30 + u**5/15 - u**2 - 12*u. Let v(b) be the first derivative of a(b). Factor v(g).
4*g**2*(g - 1)**2*(g + 1)
Let d(v) = -19*v**4 - 12*v**3 + 36*v**2 + 67*v + 17. Let y(m) = 13*m**4 + 8*m**3 - 24*m**2 - 45*m - 11. Let c(s) = -5*d(s) - 7*y(s). What is p in c(p) = 0?
-1, 2
What is n in 20/9*n - 16/3 - 2/9*n**2 = 0?
4, 6
Let y(w) be the first derivative of -w**5/2 + 15*w**4/8 + 15*w**3/2 + 25*w**2/4 + 258. Solve y(s) = 0.
-1, 0, 5
Let h = 41 - 42. Let v be (h + 3)/2*8/14. Determine a so that v - 2/7*a**2 - 2/7*a = 0.
-2, 1
Let b(n) be the first derivative of n**6/780 + n**5/78 + n**4/26 + 15*n**2/2 + 11. Let q(g) be the second derivative of b(g). Let q(f) = 0. Calculate f.
-3, -2, 0
Determine n, given that 3/8*n**3 - 18*n + 135/8*n**2 - 69/2 = 0.
-46, -1, 2
Let k(b) = 2*b**2 - 125*b - 529. Let r be k(-4). Determine j, given that 39/5*j**2 + 81/5*j**r + 21/5*j**5 + 69/5*j**4 + 0 + 6/5*j = 0.
-1, -2/7, 0
Let k be ((280/(-88) - -5) + -1)/(9/78). Solve -42/11*p**2 - k*p**4 - 24/11*p**5 - 6/11*p + 0 - 90/11*p**3 = 0.
-1, -1/4, 0
Let h = -26 - -40. Let i be h/4*6*3/21. Factor -i*w**2 - 7/4*w**3 - 3/4*w + 1/2.
-(w + 1)**2*(7*w - 2)/4
Let x(v) be the first derivative of -v**4/14 + 8*v**3/3 - 28*v**2 - 27. Factor x(s).
-2*s*(s - 14)**2/7
Let w(q) be the first derivative of 1/30*q**4 - 2/15*q**3 + 1/5*q**2 + 6 - 6*q. Let u(o) be the first derivative of w(o). Find n, given that u(n) = 0.
1
Let -11*v**2 - 4*v**4 - 32*v**3 + 14*v**3 + 46*v**3 - 13*v**2 = 0. Calculate v.
0, 1, 6
Let w(j) be the first derivative of j**6/480 - j**5/320 - j**4/64 + j**3 - 1. Let f(p) be the third derivative of w(p). Factor f(z).
3*(z - 1)*(2*z + 1)/8
Let d(x) = x + 23. Let r be d(-17). Let i = 9 - r. Factor -f**3 + 4*f**i + 0*f + 3*f**2 + f**4 + f.
f*(f + 1)**3
Let h(y) be the second derivative of 0*y**3 + 0 + 0*y**2 + 1/45*y**5 + 0*y**4 + 2/189*y**7 + 4/135*y**6 + 23*y. Factor h(d).
4*d**3*(d + 1)**2/9
Let n(m) be the second derivative of -m**6/120 - m**5/10 + m**4/16 + 11*m**3/12 - 2*m**2 + 24*m. Determine l, given that n(l) = 0.
-8, -2, 1
Let j be ((-2)/(-20))/(1/6). Let o = -15 + 15. Factor o*b - j*b**3 + 0*b**2 + 0.
-3*b**3/5
Let w(u) = -11*u**3 + 2*u**2 - 5*u + 6. Let m(j) = 24*j**3 - 5*j**2 + 10*j - 13. Let n(x) = 6*m(x) + 13*w(x). Factor n(o).
o*(o - 5)*(o + 1)
Factor 2/3*g**4 - 6*g**2 - 8 - 2*g**3 + 46/3*g.
2*(g - 4)*(g - 1)**2*(g + 3)/3
Let j(a) be the second derivative of 1/10*a**3 + 0 - 1/20*a**4 + 5*a + 3/5*a**2. Suppose j(v) = 0. Calculate v.
-1, 2
Suppose 2*l**2 - 2*l**2 + 7*l**2 - 3*l**2 + 34 - 3*l**2 - 35*l = 0. What is l?
1, 34
Suppose -4*h + 57*o - 6 = 60*o, -2*h + 3*o = -24. Factor 0 + 0*d + 3*d**h + d**4 + 9/4*d**2.
d**2*(2*d + 3)**2/4
Let z(x) = 2*x**4 + 80*x**3 - 306*x**2 - 874*x - 478. Let b(d) = 3*d**4 + 160*d**3 - 613*d**2 - 1749*d - 957. Let m(l) = 6*b(l) - 11*z(l). Factor m(a).
-4*(a - 11)**2*(a + 1)**2
Let f be (-8)/6*390/20. Let w = f + 29. Let -3*o**w + 2*o**4 - o**3 + 2*o**3 = 0. Calculate o.
0, 1
Let y = -4/485 + 493/970. Factor 3/4*j + 0*j**2 - y - 1/4*j**3.
-(j - 1)**2*(j + 2)/4
Let g(l) be the second derivative of 2*l**5 - 15*l**4/4 + 5*l**3/6 + 544*l. Factor g(f).
5*f*(f - 1)*(8*f - 1)
Let l(h) = h**3 + h**2 + 2*h. Let z(c) = 7*c**3 - 62*c**2 + 11*c + 68. Let y(o) = -6*l(o) + z(o). Factor y(p).
(p - 68)*(p - 1)*(p + 1)
Determine q so that -25/2*q - 5 + 10*q**4 + 10*q**3 + 5/2*q**5 - 5*q**2 = 0.
-2, -1, 1
Solve 21/4*p**2 - 135 + 18*p - 3/4*p**3 = 0 for p.
-5, 6
Let w(m) = -21*m + 85*m - 28*m - 4 - 27*m - m**2. Let p(v) = v. Let u(g) = 10*p(g) - 2*w(g). Factor u(c).
2*(c - 2)**2
Let t(o) be the second derivative of -o**4/6 - 4*o**3 + 28*o**2 - 150*o. Let t(h) = 0. Calculate h.
-14, 2
Let y = -14825 - -14825. Factor y*v - 10/3*v**2 + 0 + 4*v**3 - 2/3*v**4.
-2*v**2*(v - 5)*(v - 1)/3
Let y(h) be the first derivative of 0*h**2 + 2/9*h**3 + 1/18*h**6 + 0*h + 4/15*h**5 + 5/12*h**4 + 4. Determine o, given that y(o) = 0.
-2, -1, 0
Let m be 160/24 - (-30)/(-3 - 2). Let -2/3*q**3 + m*q**2 + 0*q + 0 = 0. What is q?
0, 1
Let s(j) be the second derivative of j**9/5040 - j**8/700 + j**7/350 + 8*j**3/3 + 39*j. Let m(t) be the second derivative of s(t). Let m(o) = 0. What is o?
0, 2
Let p be 1/((-7 - -6)/((-