 y(n) = 0.
-22, 18
Suppose -220 - 2183 = 5*k - x, 0 = 3*k + 4*x + 1451. Let n = k + 1447/3. Determine l so that 0 + 10/9*l**2 - 10/9*l**4 - 10/9*l**3 - 2/9*l**5 + n*l = 0.
-3, -2, -1, 0, 1
Let o(a) be the third derivative of 1/4*a**5 + 49*a**2 + 1/70*a**7 + 0 - 7/8*a**4 - 3*a**3 + 0*a + 7/40*a**6. Solve o(j) = 0 for j.
-6, -1, 1
Factor 24 + 28670*b - 5*b**2 - 28648*b + 3*b**2.
-2*(b - 12)*(b + 1)
Let x = -15 + 33. Suppose 0*f + x = f. Factor -5 - 4*s - 14 - s**4 + f - 6*s**2 - 4*s**3.
-(s + 1)**4
Let x be (2/2 + ((-4752)/200)/22)*-5. Let m be (-6)/(-40) + (-2)/(-8). Let 1/5*j - 1/5*j**5 + 0*j**3 + 0 - x*j**2 + m*j**4 = 0. What is j?
-1, 0, 1
Factor -16/7*r**2 - 39/7*r + 18 + 5/7*r**3.
(r - 3)**2*(5*r + 14)/7
Let u = 966465 - 1932929/2. What is i in -2*i**2 - u*i**5 + 2*i**4 - i**3 + 0 + 3/2*i = 0?
-1, 0, 1, 3
Let q(a) be the third derivative of 1/70*a**7 + 0 - 6*a**3 + 2*a**2 - 1/40*a**6 - 117*a - 13/20*a**5 + 25/8*a**4. Factor q(b).
3*(b - 3)*(b - 1)**2*(b + 4)
Suppose -1/4*k**5 + 5*k**4 - 8*k + 0 - 69/4*k**3 + 41/2*k**2 = 0. Calculate k.
0, 1, 2, 16
Let o(p) = 30*p**2 - 209*p - 3. Let v be o(7). Determine d, given that 3/8*d**v + 3*d**2 + 0 - 3/2*d - 15/8*d**3 = 0.
0, 1, 2
Let i(q) be the third derivative of -2*q**2 - 1/12*q**5 - 1/4*q**4 + 0 + 0*q + 0*q**3. Let w(d) = -5*d**2 - 5*d. Let k(v) = -5*i(v) + 6*w(v). Solve k(x) = 0.
0
Factor -594*u + 1440*u + 24*u**2 - 747*u - u**3 - 2*u**3.
-3*u*(u - 11)*(u + 3)
Let m(r) = -4*r**2 - 24*r + 25. Let d(n) = -18*n**2 - 120*n + 124. Suppose -3*h = -5*l - 134, -h = -l + 4*h - 18. Let u(q) = l*m(q) + 6*d(q). Factor u(j).
4*(j - 11)*(j - 1)
Let a(y) be the second derivative of y**7/735 + 11*y**6/420 - 2*y**5/35 + 39*y**2 + 151*y. Let q(h) be the first derivative of a(h). Factor q(c).
2*c**2*(c - 1)*(c + 12)/7
Let r(b) be the first derivative of -33/14*b**2 + 34/7*b + 38 + 33/7*b**4 + 4/35*b**5 - 137/21*b**3. Let r(a) = 0. Calculate a.
-34, -1/2, 1/2, 1
Let y(j) be the first derivative of 400/3*j**2 + 33 - 40/9*j**3 + 1/18*j**4 - 16000/9*j. Determine x, given that y(x) = 0.
20
Solve -39366/13*s - 1062882/13 - 486/13*s**2 - 2/13*s**3 = 0.
-81
Let b(q) be the first derivative of -5*q**4/4 - 45*q**3 + 10*q**2 + 540*q - 3731. Factor b(z).
-5*(z - 2)*(z + 2)*(z + 27)
Let h(m) = -17*m**3 + 40*m**2 - 282*m + 210. Let y(v) = -5*v**3 + 14*v**2 - 93*v + 70. Let g(x) = 6*h(x) - 21*y(x). Factor g(n).
3*(n - 10)*(n - 7)*(n - 1)
Factor -21 + 288*l - 10 + 31 - 136*l**2 - 4*l**3.
-4*l*(l - 2)*(l + 36)
Let g(p) be the first derivative of 0*p**3 + 1/180*p**6 + 1/45*p**5 - p**2 + 1/36*p**4 - 7 + 0*p. Let q(c) be the second derivative of g(c). Factor q(n).
2*n*(n + 1)**2/3
Let g = -2589/1040 + 40/13. Let n = g + -3/16. Let -n*h**4 + 6/5*h**2 - 8/5 + 4/5*h**3 - 8/5*h = 0. Calculate h.
-1, 2
Let b = -1131239/19 + 59539. Let q be (6 + -11)*(-16)/38. Solve 0 - 200/19*y - b*y**3 + q*y**2 = 0.
0, 10
Let h be ((-22)/(-6) + (-186)/62)/(20/71148). Let -308/5*p + 2/5*p**2 + h = 0. What is p?
77
Let w(p) be the first derivative of p**5/15 + 5*p**4/12 - 2*p**3/3 + 6202. Find z, given that w(z) = 0.
-6, 0, 1
Let u(g) = -4*g + 7. Let v be u(9). Let a = 32 + v. Factor 18*x - 29 - a - 5*x**2 - 13 + 12*x.
-5*(x - 3)**2
Let n = -6191 + 44052/7. Let q = 103 - n. Factor 2/7*s**2 - 8/7 + q*s.
2*(s - 1)*(s + 4)/7
Let m(y) = -2*y**3 + 17*y**2 - 7*y. Let k be m(8). Factor -t**3 - 2 + 6 - 7*t**2 - 4*t**2 + k*t**2.
-(t - 1)*(t + 2)**2
Let u = -23 - -28. Suppose 4*t**u - 3*t - 8*t**2 + 3642*t**4 - 3634*t**4 - 3*t + 2*t = 0. What is t?
-1, 0, 1
Let o(w) be the third derivative of w**6/1800 + 27*w**5/100 + 2187*w**4/40 - 19*w**3/2 - 17*w**2 + 1. Let f(r) be the first derivative of o(r). Factor f(p).
(p + 81)**2/5
Let o be 2/4*(13/(-1) + 15). Let v = 79 + -32. Find r, given that -34*r**2 + 10*r**2 - 6 + 3*r**3 - o - v + 63*r = 0.
2, 3
Factor -1/6*x**2 - 320/3*x - 51200/3.
-(x + 320)**2/6
Let y(g) be the first derivative of g**6/720 + g**5/360 - g**4/144 - g**3/36 - 8*g**2 + 54. Let c(o) be the second derivative of y(o). Let c(w) = 0. What is w?
-1, 1
Let m(u) = -u**2 + 2*u + 10. Suppose -9*i = -19 - 17. Let x be m(i). Factor -47*b + 18 - x*b**2 + 94*b - 47*b.
-2*(b - 3)*(b + 3)
Suppose 6*p - 4*r + 632 = 10*p, 2*p - 2*r - 308 = 0. Let o = -1088/7 + p. Find s, given that 4/7*s**2 + o*s - 8/7 = 0.
-2, 1
Let l(n) = -7192*n**2 - 186992*n. Let y be l(-26). Suppose -2/9*v**2 + y + 10/9*v = 0. Calculate v.
0, 5
Suppose 0 = b - 6*b + 54000. Let o be 8*(-126)/(-420) - -4. Factor 20250*k**4 + o + 2160*k**2 - b*k**3 - 192*k.
2*(15*k - 2)**4/5
Let b(r) = 16*r**2 - 3*r + 1. Let a(h) = -100*h**2 + 526*h - 2446. Let z(c) = a(c) + 6*b(c). Factor z(f).
-4*(f - 122)*(f - 5)
Let h(w) = -9*w**2 - 33*w - 6. Let y(f) = -17*f**2 - 65*f - 11. Suppose -2*j + 11 = v, -19*j + 14 = -17*j - 2*v. Let u(t) = j*y(t) - 11*h(t). Factor u(s).
-3*s*(s + 9)
Suppose 5*a - 49*a = 0. Let j(k) be the second derivative of 0 + 0*k**2 + 8/15*k**6 + 2/3*k**4 - k**5 + a*k**3 + 6*k - 2/21*k**7. Let j(g) = 0. Calculate g.
0, 1, 2
Let p(o) = -5. Let s(d) = 9. Let l(c) = -11*p(c) - 6*s(c). Let x(u) = -23 - 50*u**2 + 125*u**2 - 70*u**2. Let n(i) = -3*l(i) - x(i). Factor n(g).
-5*(g - 2)*(g + 2)
Let p(a) be the second derivative of 3*a**6/35 + 4*a**5/35 - 11*a**4/42 - 10*a**3/21 - 2*a + 3. Solve p(m) = 0 for m.
-1, 0, 10/9
Suppose -253718*f - 5*m = -253721*f + 33, 3*f = m + 21. Determine c so that 2/7*c**3 + f*c**2 + 198/7*c - 242/7 = 0.
-11, 1
Find t, given that 0*t - 640/3*t**4 - 106/3*t**5 - 326*t**3 + 0 - 12*t**2 = 0.
-3, -2/53, 0
Suppose -28*v - 10 - 74 = 0. Let d be 3/((-1)/(2/v)). What is n in -1/2*n**d - 1/2 + n = 0?
1
Let f(s) be the second derivative of -63*s - 1/10*s**5 + 5/6*s**4 + 0 - 8/3*s**3 + 4*s**2. Factor f(i).
-2*(i - 2)**2*(i - 1)
Let s(w) be the third derivative of 5*w**8/84 - 46*w**7/105 + 104*w**5/15 - 40*w**4/3 - 32*w**3 - 120*w**2 + 1. Suppose s(z) = 0. Calculate z.
-2, -2/5, 2, 3
Let k = 178473 + -178470. Factor 2*s**k - 4/3*s**2 - 8*s - 16/3 + 2/3*s**4.
2*(s - 2)*(s + 1)*(s + 2)**2/3
Let t(c) be the third derivative of -2*c**7/105 - 7*c**6/30 - c**5 - 3*c**4/2 + 1443*c**2. Factor t(l).
-4*l*(l + 1)*(l + 3)**2
Let t = -23/244 - -103/122. Solve 9*p - 27 - t*p**2 = 0 for p.
6
Let l(v) = -9*v**2 - 309*v + 2289. Let c(o) = 11*o**2 + 310*o - 2289. Let p(q) = -3*c(q) - 4*l(q). Factor p(y).
3*(y - 7)*(y + 109)
Let b be 6/4*16/18. Let f(g) = -45540*g + 1684982. Let s be f(37). Suppose -2/3*u**3 + 0 - 2/3*u + b*u**s = 0. Calculate u.
0, 1
Let n = 43 - 31. Let o(c) be the first derivative of 26 - 7 + n*c**2 - c**3 - 36*c - 12*c - 6. Factor o(r).
-3*(r - 4)**2
Let p be (-3)/(-63) - (-1800606)/(-1386). Let z = p + 1300. Determine w, given that -12/11 - 2/11*w**2 + z*w = 0.
2, 3
Let q(z) = -2*z**3 - 130*z**2 - 602*z - 8. Let w be q(-5). Determine h so that 0 + 0*h - 1/2*h**3 - 5/2*h**w = 0.
-5, 0
Let b(f) be the third derivative of -f**2 - 2187*f**3 - 243/4*f**4 + 0 - 1/180*f**6 + 15*f - 9/10*f**5. Factor b(n).
-2*(n + 27)**3/3
Find p, given that -72/7 + 34/7*p**2 + 78/7*p = 0.
-3, 12/17
Let s(g) be the first derivative of 7/3*g**2 - 11/6*g**4 - 6*g**3 + 4/9*g**6 + 0*g + 18/5*g**5 + 102. Find b, given that s(b) = 0.
-7, -1, 0, 1/4, 1
Suppose -8*n - 2*f - 16 = -9*n, 4*f - 12 = 0. Suppose n*v = 51*v - 23*v. Find x such that 0*x**2 + v + 0*x - 4/7*x**3 = 0.
0
Let i(t) be the first derivative of t**9/6048 - t**7/280 - t**6/90 - t**5/80 - 4*t**3/3 + 4*t - 28. Let k(s) be the third derivative of i(s). Factor k(p).
p*(p - 3)*(p + 1)**3/2
Suppose 9 = 4*p + 3*g, 5*p + 821*g = 818*g + 9. Determine a so that 9*a**3 - 27/5*a**4 + 3/5*a**5 - 21/5*a**2 + p*a + 0 = 0.
0, 1, 7
Suppose -2*v = v - 18. Suppose 3*a = 2*a - 3*x + 11, x + 31 = 4*a. Factor -10*f**4 + v*f**3 + 12*f**4 - a*f - f**3 + f**3.
2*f*(f - 1)*(f + 2)**2
Let b be 3 + (-3 - -1) + -1. Suppose 0 = 4*c - 102 + 94. Factor 5*s + b*s - 7*s - 8*s**2 - 2*s**c.
-2*s*(5*s + 1)
Let p(r) = -20*r**3 + 546*r**2 + 276*r - 278. Let u(x) = 12*x**3 - 328*x**2 - 166*x + 167. Let b(h) = -7*p(h) - 12*u(h). Factor b(g).
-2*(g - 29)*(g + 1)*(2*g - 1)
Let v = 1121 + -1105. Let w be v/42*(-228)/(-304). Factor 0 + w*d**2 - 8/7*d.
2*d*(d - 4)/7
Factor 13/2*t**3 - 40*t + 0 - 1/6*t**4 + 23/3*t**2.
-t*(t - 40)*(t - 2)*(t + 3)/6
Suppose 3*l - 3*d - 2751 = 0, 0*d = -4*l