Let m(n) = 3*q(n) + x(n). Factor m(s).
-4*(s - 2)*(s + 1)**2*(s + 2)
Suppose 2*n - 2*v - 6 = 0, -4*v = -3*n - 11 + 17. Let s be (1/2)/(3/n*6). Factor s*d**3 - 1/6*d + 0 + 0*d**2.
d*(d - 1)*(d + 1)/6
Factor 300/7 + 3/7*i**3 + 42*i**2 - 597/7*i.
3*(i - 1)**2*(i + 100)/7
Let j(s) = 78*s + 797. Let y be j(-10). Let o be 10/65 + (2 - y/26). Suppose o + 1/4*r**2 + 7/4*r = 0. Calculate r.
-6, -1
Let j(g) be the first derivative of -12*g + 28/5*g**5 - 16/3*g**3 + 20*g**2 - 38 - 10*g**4. Factor j(q).
4*(q - 1)**2*(q + 1)*(7*q - 3)
Let n(s) be the first derivative of 0*s + s**3 + 9/2*s**2 - 122. Factor n(u).
3*u*(u + 3)
Let h be (-12915)/(-140) + (-2 - (1 - 7)). Let x = 2037/20 - h. Let -x*r**4 - 176/5*r**3 - 60*r**2 - 72/5*r + 0 = 0. Calculate r.
-3, -2/7, 0
Let d(a) be the first derivative of -a**5/5 - 57*a**4/4 - 781*a**3/3 + 957*a**2/2 + 1682*a + 11806. Solve d(r) = 0 for r.
-29, -1, 2
Let w(r) be the first derivative of -392/5*r**2 - 1/25*r**5 + 177 - 57/20*r**4 - 56*r**3 + 0*r. What is o in w(o) = 0?
-28, -1, 0
Let t(y) be the third derivative of -2*y**7/525 + 2*y**6/25 - 13*y**5/75 - 11*y**4/5 - 16*y**3/3 - 2031*y**2. Let t(c) = 0. Calculate c.
-1, 4, 10
Let a(k) = 4*k**3 - 12*k**2 + 4*k. Let y(i) = -11*i**2 + 3*i + 4*i**3 - 268 + i**4 + 268. Let h(z) = 3*a(z) - 4*y(z). Factor h(c).
-4*c**2*(c - 1)*(c + 2)
Let v(k) be the first derivative of -2*k**3/15 + 164*k**2/5 - 13448*k/5 - 1961. Determine x so that v(x) = 0.
82
Let z(w) be the first derivative of 5/3*w**3 + 75/4*w**4 + 0*w + 19 - 5*w**2. Determine n so that z(n) = 0.
-2/5, 0, 1/3
Let r(o) be the third derivative of -140*o**2 - 1/42*o**8 + 0*o - 1/6*o**5 - 1/105*o**7 + 0*o**3 + 1/5*o**6 + 0 - 1/6*o**4. Let r(n) = 0. What is n?
-2, -1/4, 0, 1
Let t(m) be the first derivative of m**2/2 - m - 21. Let f be t(6). Determine l, given that -7*l + 6*l**3 + 15 - 36*l**3 + f*l**4 + 60*l**2 - 43*l = 0.
1, 3
Let c = 2081/6963 + 41/633. Determine n so that 3/11*n + 0 - c*n**2 + 1/11*n**3 = 0.
0, 1, 3
Let j(p) be the first derivative of -p**5/30 + p**4/3 + 79*p**3/18 + 35*p**2/6 - 678. Find o such that j(o) = 0.
-5, -1, 0, 14
Let l = 280289/3 + -93429. Let f(d) = -d. Let o be f(-2). Factor l*z**o + 0*z**3 + 1/3*z**5 - 1/3*z + 0 - 2/3*z**4.
z*(z - 1)**3*(z + 1)/3
Let p(s) = 2428*s**3 + 3125*s**2 + 571*s - 9. Let n(f) = -2464*f**3 - 3124*f**2 - 572*f + 10. Let j(d) = -6*n(d) - 4*p(d). What is r in j(r) = 0?
-1, -1/4, 6/317
Let f = 12344 + -12322. Let x(b) be the first derivative of -7*b**3 - 3/2*b - 27/4*b**2 + f. Suppose x(j) = 0. Calculate j.
-1/2, -1/7
Let i(x) be the first derivative of -7*x**5/5 + 83*x**4/2 - 995*x**3/3 + 292*x**2 + 252*x + 3141. Determine k so that i(k) = 0.
-2/7, 1, 9, 14
Let x(u) be the second derivative of u**6/30 + 7*u**5/20 - 2*u**4/3 + 18*u - 103. Factor x(o).
o**2*(o - 1)*(o + 8)
Find v such that 0*v**2 + 3/2*v**5 - 27*v**3 + 0*v + 51/2*v**4 + 0 = 0.
-18, 0, 1
Let v be 9/(9 - (-63)/(-14)). Let d(u) be the second derivative of 0 - 1/20*u**6 + 13*u - 13/40*u**5 - 11/12*u**3 - 19/24*u**4 - 1/2*u**v. Solve d(y) = 0 for y.
-2, -1, -1/3
Let x(s) be the second derivative of s**5/80 + 97*s**4/12 + 36445*s**3/24 - 116427*s**2/4 + 86*s. Factor x(d).
(d - 6)*(d + 197)**2/4
Let f be (19/(-133))/(((-4)/(-10936))/(-1)). Let z = f - 382. Determine w so that -18/7*w - z*w**2 - 50/7*w**3 + 0 = 0.
-3/5, 0
Let k = 35468 + -283741/8. Determine q so that 75/8 + k*q**2 + 39/4*q = 0.
-25, -1
Let y = -167539 + 1172779/7. Factor -18*t - 32/7 + y*t**3 - 88/7*t**2.
2*(t - 16)*(t + 1)*(3*t + 1)/7
Let m(j) be the second derivative of -j**4/18 + 5*j**3/9 + 775*j - 1. Find n such that m(n) = 0.
0, 5
Let u be (-12)/66 - 336/(-154). Let o(r) be the third derivative of -1/12*r**5 + 0*r - 5/3*r**3 + 0 + 23*r**u - 5/8*r**4. Solve o(x) = 0 for x.
-2, -1
Let f = -21 - -23. Let x be f/(-4) - 30/(-12). Suppose 6*r - 4*r**5 + 118 - 118 + 14*r**4 - 14*r**2 - x*r**3 = 0. Calculate r.
-1, 0, 1/2, 1, 3
Factor 0 - 677/5*v**2 - 271/2*v + 1/10*v**3.
v*(v - 1355)*(v + 1)/10
Let v(t) = -t**2 - t - 1. Let g(w) = -8*w**2 - 12*w - 11. Let q = 18 + -11. Suppose 1 = -2*y - q. Let s(p) = y*g(p) + 28*v(p). Factor s(d).
4*(d + 1)*(d + 4)
Factor 1813*z - 25/4*z**3 - 63/2*z**2 + 1/4*z**4 - 11662.
(z - 14)**3*(z + 17)/4
Let t(x) be the first derivative of x**7/315 - x**6/45 - 7*x**5/90 + 5*x**4/18 + 120*x**2 + 6. Let f(r) be the second derivative of t(r). Solve f(h) = 0.
-2, 0, 1, 5
Suppose 4*g + 5*v - 3 = -0*v, 0 = -4*g + 5*v + 13. Suppose 3*z = 3*a - 120, 4*a = 3*z + 103 + 57. Solve -138*j + 72*j**g - 2*j**2 - 15*j**3 + a + 38*j = 0.
2/3, 2
Let q = -98 + 122. Let b(h) = -11*h + 266. Let c be b(q). Suppose 0 + 2*d + 2/3*d**3 - 8/3*d**c = 0. What is d?
0, 1, 3
Let v be 61131/2485 - (22 + 2). Find a such that 4/5*a + 12/5 - 1/5*a**3 - v*a**2 = 0.
-3, -2, 2
Let m(y) be the first derivative of -15/2*y**2 + 8 + 1/4*y**5 - 28*y - 5/12*y**4 - 25/6*y**3. Let k(b) be the first derivative of m(b). Factor k(n).
5*(n - 3)*(n + 1)**2
Let o = 6871/9080 - -31/454. Let v(p) be the second derivative of -3/8*p**4 + 0 + 0*p**3 + o*p**5 + 0*p**2 - 17*p. Suppose v(s) = 0. Calculate s.
0, 3/11
Let w(a) be the first derivative of -a**5/40 + 57*a**4/16 - 113*a**3/24 + 2176. Factor w(y).
-y**2*(y - 113)*(y - 1)/8
Suppose -449*l + 77 = -442*l. Find g, given that 46*g + 30 - 12*g**2 + 16 + l*g - 6*g**2 + 14 = 0.
-5/6, 4
Let i(p) be the first derivative of -p**4 - 1184*p**3/3 - 43808*p**2 + 1770. Factor i(w).
-4*w*(w + 148)**2
Let t(y) be the third derivative of y**7/42 + 2*y**6/3 - 3*y**5 + 1961*y**2. Factor t(v).
5*v**2*(v - 2)*(v + 18)
What is i in 12/7*i**2 + 0 + 18/7*i**3 - 12/7*i**4 - 15/7*i - 3/7*i**5 = 0?
-5, -1, 0, 1
Suppose -5*c - p + 46 = 0, 4*p = 13*c - 17*c + 56. Let v(o) be the first derivative of c*o - o**4 + 2*o**2 - 8/3*o**3 - 19. Factor v(x).
-4*(x - 1)*(x + 1)*(x + 2)
Let j = -172 - -180. Factor 1815*b**2 + 1811*b**2 - 3624*b**2 - j + 6*b.
2*(b - 1)*(b + 4)
Let t(n) = 5*n**4 + 2*n**3 - n. Let y(h) = 36*h**4 + 15*h**3 - h**2 - 8*h. Let z(m) = 14*t(m) - 2*y(m). Solve z(s) = 0.
-1, 0, 1
Let h(f) be the third derivative of 43/156*f**4 + 10/39*f**3 + 7*f**2 - 3/130*f**5 + 0 - 2*f. Find m such that h(m) = 0.
-2/9, 5
Let a(w) = 32*w**3 + 120*w**2 - 314*w + 270. Let p(j) = 2*j**3 + j + 3. Let u(l) = a(l) - 18*p(l). Suppose u(i) = 0. What is i?
1, 2, 27
Suppose f - 4*x = -23 + 43, f = -3*x - 8. Let z(m) = -14*m + 56. Let s be z(f). Factor 2/3*c + s - 2/3*c**2.
-2*c*(c - 1)/3
Let k = 29 - 13. Suppose 40 = -k*h + 21*h. Let -h*o**2 - o + 0*o - 11*o**2 + 20*o**2 = 0. What is o?
0, 1
Let d(o) = o**2 + 5*o + 2. Let k(i) = -2*i**3 - 33*i**2 - 15*i - 6. Let h(j) = 6*d(j) + 2*k(j). Determine b so that h(b) = 0.
-15, 0
Let f(b) be the first derivative of 25*b**3 + 31155*b**2 + 12941787*b + 5259. Solve f(k) = 0 for k.
-2077/5
Suppose 1 + 19/12*g**2 - 3/4*g**3 + 31/12*g - 1/6*g**5 - 11/12*g**4 = 0. Calculate g.
-4, -1, 3/2
Suppose -1/3*w**4 - 44/3 + 16/3*w**3 + 92/3*w - 21*w**2 = 0. What is w?
1, 2, 11
Suppose 14*r = 89 - 33. Let f(o) be the second derivative of -15*o - 1/20*o**5 + 2/9*o**3 + 0*o**r + 1/90*o**6 + 0 + 0*o**2. Solve f(m) = 0.
-1, 0, 2
Let g be 8/24*(10 + 3353). Let r = g + -14563/13. Factor 0*c**2 + 16/13*c**4 + r*c**5 + 0*c - 8/13*c**3 + 0.
2*c**3*(c + 2)*(5*c - 2)/13
Factor -p**3 + 11364*p**2 - 11348*p**2 + 0*p**3 + 0*p**3.
-p**2*(p - 16)
Let k(u) be the second derivative of 1/18*u**4 - 23/9*u**3 - 1 - 176*u + 22/3*u**2. Factor k(c).
2*(c - 22)*(c - 1)/3
Let m(a) be the third derivative of -3 - 1/6*a**4 - 1/210*a**7 + 0*a + 0*a**6 - 2*a**3 + 3/20*a**5 + 8*a**2. Factor m(i).
-(i - 2)**2*(i + 1)*(i + 3)
Let y(g) be the third derivative of g**6/420 - 47*g**5/70 + 396*g**4/7 + 5184*g**3/7 - 274*g**2. What is k in y(k) = 0?
-3, 72
Let m be -3 - 1 - (-76)/(-57)*(-8 + 2). Let p(j) be the first derivative of -1/8*j + 1/32*j**m - 1/16*j**2 + 48 + 1/24*j**3. Factor p(v).
(v - 1)*(v + 1)**2/8
Let d be (-130)/(-39)*((-116)/(-42) + 2/3). Factor 6*y**2 - 2/7*y**3 - 36/7*y - d.
-2*(y - 20)*(y - 2)*(y + 1)/7
Suppose -4*s - 7*b = -7, -36731*s + 36730*s + 103 = -5*b. Factor 400*l + 10000/7 + s*l**2.
4*(7*l + 50)**2/7
Let h be 11 - (385/42 - 7/(-4)). Let b(q) be the third derivative of -20*q**2 - 11/15*q**5 + 0*q + h*q**6 + 7/3*q**4 - 8/3*q**3 + 0. Factor b(w).
2*