2 - 5*m/4 + 40. Determine c, given that j(c) = 0.
-1, 1, 15
Let d = 10383/4 + -51907/20. Factor -6/5*x - d*x**4 + 6/5*x**3 + 2/5*x**2 + 0.
-2*x*(x - 3)*(x - 1)*(x + 1)/5
Let c be ((-3)/(-2))/(6/12). Find f such that 5*f**2 + 15*f**4 - 3*f**5 + f**5 - 15*f**c - 3*f**5 = 0.
0, 1
Suppose -1954 + 2012 = 29*l. Factor 8/13 + 6/13*k - 2/13*k**l.
-2*(k - 4)*(k + 1)/13
Factor -10 - 1/5*c**3 + 5*c + 2/5*c**2.
-(c - 5)*(c - 2)*(c + 5)/5
Let k be 4/(-8)*(3 + -1). Let i(q) = -q**3 + 1. Let n(t) = -t**3 + 4*t**2 - 2*t - 1. Suppose 1 = 3*r - 8. Let p(c) = k*n(c) + r*i(c). Factor p(v).
-2*(v - 1)*(v + 1)*(v + 2)
Let c(m) = -m**2 - 15*m + 38. Let v be c(-17). Let f be 5/(-15) + 1 + v/(-12). Factor 0 - 1/3*l - f*l**2.
-l*(l + 1)/3
Suppose -11*l**3 - 37*l**2 + 203*l - 9*l**3 - 60 + 32*l - 42*l**2 + 104*l**2 = 0. What is l?
-3, 1/4, 4
Factor 6 + 32/3*s**2 + 16*s.
2*(4*s + 3)**2/3
Let c(t) be the first derivative of 0*t + 1/4*t**4 + 10 - 3/2*t**2 + 1/30*t**5 + 0*t**3. Let h(y) be the second derivative of c(y). Factor h(j).
2*j*(j + 3)
Let s(r) be the first derivative of -r**3 - 15*r**2 - 63*r + 26. Factor s(x).
-3*(x + 3)*(x + 7)
Factor 142*a**2 + 2*a**3 - 324*a - 4*a**4 + 216 - 34*a**2 + 2*a**3.
-4*(a - 3)**2*(a - 1)*(a + 6)
Let u(l) be the third derivative of l**8/12960 + l**7/1890 - l**6/810 - l**5/60 - l**2. Let b(n) be the third derivative of u(n). Factor b(p).
2*(p + 2)*(7*p - 2)/9
Suppose -2*b = 3*b + 3*f - 22, -2*f - 2 = -5*b. Find k, given that 2/11*k**b + 4/11*k + 0 = 0.
-2, 0
Let j(h) be the second derivative of 1/18*h**3 - 1/24*h**4 - 15*h + 1/120*h**5 + 0*h**2 + 0. Factor j(k).
k*(k - 2)*(k - 1)/6
Let g = 13640 - 95478/7. Determine k, given that g*k - 2/7*k**2 + 2/7*k**4 - 2/7*k**3 + 0 = 0.
-1, 0, 1
Let a(u) be the third derivative of -u**5/660 + 5*u**4/88 + 17*u**3/33 + 152*u**2. Factor a(t).
-(t - 17)*(t + 2)/11
Let x(d) be the third derivative of -d**6/180 + 11*d**5/30 - 7*d**4/4 + 31*d**3/9 + 2*d**2 + 20. Factor x(n).
-2*(n - 31)*(n - 1)**2/3
Suppose -4*h - 4*i + 28 = 0, 5*i = 11 + 14. Suppose h*l - 22 = -5*g + 2, 0 = g - 4. Factor -4*b**3 + b**3 - l*b**2 + 3*b**2 - 1 + 4*b**3 - b.
(b - 1)*(b + 1)**2
Let a(m) = -21*m**3 - 104*m**2 - 54*m + 24. Let o(h) = 21*h**3 + 105*h**2 + 54*h - 24. Let c(i) = 6*a(i) + 5*o(i). Factor c(z).
-3*(z + 1)*(z + 4)*(7*z - 2)
Determine t so that -96/7*t**3 + 96/7*t + 36/7 + 4*t**2 - 64/7*t**4 = 0.
-1, -3/4, 1
Suppose 4*v**2 - 30*v**3 + 5 - 9*v**2 - 3*v + 7*v + v + 25*v**3 = 0. What is v?
-1, 1
Suppose 0*f**4 + 0 - 1/3*f**5 + 8/3*f**2 + f + 2*f**3 = 0. Calculate f.
-1, 0, 3
Let j be (-7)/(-2)*6/7. Factor -7*z**2 - 8 - 7*z + 3*z**2 - j*z + 2*z**2.
-2*(z + 1)*(z + 4)
Let b(o) be the first derivative of 2*o**3/21 - o**2/7 - 4*o/7 - 112. Determine a so that b(a) = 0.
-1, 2
Let h be 10/12 + 417/278. Solve 2/3*x**4 + 8/3*x**2 + 0 - x - h*x**3 = 0.
0, 1, 3/2
Let m(h) = -h + 5. Let j(b) = 10*b**2 + 23*b - 22. Let i(v) = j(v) + 4*m(v). Factor i(o).
(o + 2)*(10*o - 1)
Let b(g) be the third derivative of -g**6/540 + 2*g**5/45 + 7*g**4/27 - 55*g**2 + 1. Determine r, given that b(r) = 0.
-2, 0, 14
Let w(n) be the second derivative of 0*n**2 - 1/18*n**3 - 20*n + 0 + 1/36*n**4. Determine s, given that w(s) = 0.
0, 1
Let l be (0*(-2 - -3))/2. Let u(k) be the second derivative of -k - 1/12*k**4 + l + 0*k**3 + 0*k**2. Determine j, given that u(j) = 0.
0
Suppose 11*n - 29 - 26 = 0. Let d(w) be the third derivative of 1/600*w**6 + 0 + 0*w**4 + 0*w + 4*w**2 + 0*w**n + 0*w**3. Factor d(v).
v**3/5
Determine n, given that 0 + 5/2*n**3 + 21*n + 41/2*n**2 = 0.
-7, -6/5, 0
Let c(n) be the first derivative of -18 + 1/3*n**4 - 16/9*n**3 + 7/3*n**2 + 4/15*n**5 - 1/9*n**6 - 4/3*n. Factor c(f).
-2*(f - 1)**4*(f + 2)/3
Let -3/2*v**3 + 9 + 12*v**2 - 39/2*v = 0. Calculate v.
1, 6
Let q(z) = 46*z + 464. Let a be q(-10). Factor -2/5*n**2 - 10 + a*n.
-2*(n - 5)**2/5
Factor -4/5*o - 64/5*o**2 + 4/5*o**3 + 64/5.
4*(o - 16)*(o - 1)*(o + 1)/5
Let z = 5384 + -5380. Determine m so that 8/5*m**2 + m**3 + 0 + 1/5*m**z + 4/5*m = 0.
-2, -1, 0
Let n be 8/6 - (-30)/45. Factor 9*o**4 + 35*o**n + 11*o**4 - 30*o**2 + 25*o**3.
5*o**2*(o + 1)*(4*o + 1)
Let u be (-224)/(-70)*(-10)/(-4). Let j be u/(-10)*(2 - 34/12). Factor -j*h + 4/3*h**3 - 2/3*h**5 + 4/3*h**2 - 2/3*h**4 - 2/3.
-2*(h - 1)**2*(h + 1)**3/3
Let x be 29*(-1)/(-4) - 2 - (-675)/(-135). Find q, given that 3/4*q**3 + x*q**2 - 2 - 5/2*q = 0.
-4/3, -1, 2
Suppose -f = 3*a - 6, 4*f + 5*a = 6*f + 10. Let s(k) be the third derivative of 0*k + 0*k**3 + f - 1/40*k**4 + 1/300*k**5 + 4*k**2. Factor s(l).
l*(l - 3)/5
Let k be (-44)/(-55)*(-5)/2. Let u be 5/(15/k) + (-46)/(-42). Determine z so that 0 - u*z**3 + 0*z**2 + 12/7*z = 0.
-2, 0, 2
Suppose 12*t - 30 = 210. Factor 5*p**2 - t*p**3 + 9*p**5 + 5*p**3 + 43*p - 5*p**4 - 4*p**5 - 33*p.
5*p*(p - 2)*(p - 1)*(p + 1)**2
Let d(z) = z**2 + z + 4. Let k(p) = p**2 + 14*p - 7. Let r(w) = -4*d(w) - k(w). What is t in r(t) = 0?
-3, -3/5
Factor -24*h**2 + 9*h**3 - 15*h - 12*h - 6*h**3.
3*h*(h - 9)*(h + 1)
Let k(j) be the second derivative of -j**4/6 - 7*j**3 - 90*j**2 - 446*j. Suppose k(x) = 0. What is x?
-15, -6
Factor -2 - 4*m**3 + 17*m - 90*m**5 + 42*m**5 + 35*m**5 - 26*m**2 + 28*m**4.
-(m - 1)**3*(m + 1)*(13*m - 2)
Let w be (-12)/10*(-1805)/1083. Determine r, given that 2/11*r**w + 0*r - 2/11 = 0.
-1, 1
Let y(c) = -c**4 - 33*c**3 + 92*c**2 - 111*c + 44. Let j(r) = 32*r**3 - 94*r**2 + 112*r - 44. Let z(n) = 6*j(n) + 4*y(n). Factor z(w).
-4*(w - 11)*(w - 2)*(w - 1)**2
Let k(i) = -i**3 - 4*i**2 + 11*i - 4. Let x be k(-6). Suppose -3*a + 4*a - 2 = 2*t, x*t = 2. Factor -42*u**2 - 8/5 - 25*u**a + 68/5*u + 55*u**3.
-(u - 1)*(5*u - 2)**3/5
Suppose 4*r = 3*j + 16, 5*r - 3*j = 16 + 4. Let z be 4 + -2*r/2. Solve z - 3/7*n**2 + 2/7*n + 1/7*n**4 + 0*n**3 = 0.
-2, 0, 1
Let s(q) = 10*q**2 + 5*q + 10. Let o(z) = 15*z**2 + 7*z + 14. Let i(v) = -5*o(v) + 7*s(v). Factor i(l).
-5*l**2
Let f(a) be the second derivative of a**6/105 - a**5/14 + 3*a**4/14 - a**3/3 + 2*a**2/7 - 199*a. Factor f(b).
2*(b - 2)*(b - 1)**3/7
Find t, given that -2/7*t**3 + 0 + 26/7*t - 24/7*t**2 = 0.
-13, 0, 1
Suppose -2*f - 5*f - 6*f = 0. What is i in -2/9*i**5 + 0 + 0*i**2 + 0*i + 2/9*i**4 + f*i**3 = 0?
0, 1
Let g(l) be the second derivative of -l**4/42 - 14*l**3/3 - 97*l**2/7 - l + 744. Factor g(v).
-2*(v + 1)*(v + 97)/7
Factor -14/13*f + 4/13 + 14/13*f**3 - 4/13*f**2.
2*(f - 1)*(f + 1)*(7*f - 2)/13
Let l(a) = 10*a**2 + 521*a + 55. Let c be l(-52). Find i such that 3/7*i**3 + c*i**2 - 3/7*i - 3/7*i**4 - 18/7 = 0.
-2, -1, 1, 3
Factor 0*k**3 + 19*k**2 - 2*k**3 + 19*k**2 - 32*k**2.
-2*k**2*(k - 3)
Let r be (-6 + (-215)/(-35))/((-1)/(-2)). Let p(m) be the second derivative of -1/42*m**4 + r*m**2 + 1/21*m**3 + 6*m + 0. Determine s so that p(s) = 0.
-1, 2
Let i(d) be the first derivative of d**6/6 - d**5 + 5*d**4/6 + 10*d**3/3 - 15*d**2/2 - 22*d - 43. Let b(k) be the first derivative of i(k). Solve b(h) = 0.
-1, 1, 3
Let g(y) = -8*y**3 - 48*y**2 - 84*y - 8. Let h(f) = -9*f**3 - 49*f**2 - 79*f - 10. Let u(d) = 3*g(d) - 4*h(d). Suppose u(i) = 0. Calculate i.
-2, -1/3
Let o = 4 - 4. Suppose 0 = -o*c + c - 6. Factor -4*v - 22*v**2 - 26*v**3 - 4*v**4 - c*v**3 - 4*v**4 - 6*v**4.
-2*v*(v + 1)**2*(7*v + 2)
Let k = 207 + -66. Let -5 - 4*h**3 + 4*h**3 - k*h**4 + 136*h**4 + 10*h**2 = 0. Calculate h.
-1, 1
Let b be 6*4/20*5*1. Let a(t) be the first derivative of -27/2*t**2 - 6*t**5 + 6*t + 8*t**3 - b + 27/4*t**4. Let a(o) = 0. What is o?
-1, 2/5, 1/2, 1
Find r, given that -3*r**5 - 64*r**4 - 39*r**3 - 126*r**3 - 23*r**4 - 81*r**2 = 0.
-27, -1, 0
What is i in -1/5*i**2 - 4/5*i + 0 = 0?
-4, 0
Suppose 43*h = 46*h - 15. Let t(p) be the first derivative of -12/5*p - 3/20*p**4 - h + 0*p**2 + 3/5*p**3. Let t(w) = 0. What is w?
-1, 2
Suppose -4*y = 7 - 15. Let m be y/(4*(-3)/(-24)). Factor 0 + 1/2*s**5 + 1/2*s**m + 0*s - 1/2*s**2 - 1/2*s**3.
s**2*(s - 1)*(s + 1)**2/2
Let f(x) be the first derivative of -6*x - 9/4*x**4 + 4*x**3 - 18 + 3/2*x**2. Factor f(s).
-3*(s - 1)**2*(3*s + 2)
Let x(c) be the first derivative of 38 + 0*c + 35/2*c**2 + 40/3*c**3 + 5/4*c**4. Solve x(k) = 0.
-7, -1, 0
Let w(k) be the second derivative of -k**6/660 - 2*k**5/165 - k**4/44 - 8*k**2 - 20*k. Let c(b) be the first derivative of w(b). What is p in c(p) = 0?
-3, -1, 0
Let 