 given that -6*f**3 - 11/2*f**4 - 6 + 17/2*f**2 - f**5 + 10*f = 0.
-3, -2, 1/2, 1
Let c(z) = 8*z - 5. Let h be c(-6). Let u = h + 53. Factor u*v**2 + 0 + 0*v + 2/3*v**3.
2*v**3/3
Solve -372*w**2 - w**5 - 238*w**3 - 51*w**4 - 7793*w + 3775*w + 3834*w = 0.
-46, -2, -1, 0
Let h be ((-26936)/(-49062))/((-10)/6*(-4)/10). Solve -2/17*a**2 - h*a + 0 = 0 for a.
-7, 0
Let y = 1063 + -1063. Factor y*x + 0 - 1/5*x**3 + 0*x**4 + 0*x**2 + 1/5*x**5.
x**3*(x - 1)*(x + 1)/5
Factor -2 + 2/19*b**2 - 36/19*b.
2*(b - 19)*(b + 1)/19
Let f(o) = 230*o**3 + 5*o**2 - 2*o - 2. Let z be f(2). Factor 2*v**2 + 1854*v - z*v.
2*v**2
Let l(a) = -16*a**2 + 96*a - 144. Let x be (22/44)/((-2)/8). Let v(z) = 4*z**2 - 24*z + 36. Let g(u) = x*l(u) - 9*v(u). Find i such that g(i) = 0.
3
Let z = 755359/144858 + -2/10347. Let q = -26/7 + z. Factor 1/2*o + 0 - q*o**2 - 1/2*o**4 + 3/2*o**3.
-o*(o - 1)**3/2
Let b be (-2758)/(-788)*4/7. Factor 3/7*s**b + 12/7*s + 9/7.
3*(s + 1)*(s + 3)/7
Let d(f) be the first derivative of -f**5 - 75*f**4/2 - 145*f**3/3 + 147. Let d(t) = 0. What is t?
-29, -1, 0
Let i(c) = 3*c**4 - 18*c**3 + 21*c**2 - 18*c + 3. Let w(a) = 3*a**4 - 18*a**3 + 23*a**2 - 16*a + 2. Let k(f) = -2*i(f) + 3*w(f). Find s, given that k(s) = 0.
0, 1, 4
Let h(o) be the second derivative of -o**7/105 - 2*o**6/75 + o**4/15 + o**3/15 - 96*o. What is b in h(b) = 0?
-1, 0, 1
Let m(h) be the third derivative of 14*h**2 + 0 + 3/28*h**4 + 2/35*h**5 + 1/1176*h**8 - 1/210*h**6 - 4/735*h**7 + 0*h**3 + 0*h. Factor m(b).
2*b*(b - 3)**2*(b + 1)**2/7
Let t(k) be the second derivative of -k**5/40 + k**4/2 + k**3/12 - 3*k**2 + 83*k + 1. Solve t(j) = 0 for j.
-1, 1, 12
Suppose -38*k**2 - 15*k**3 + 10*k + 5*k - 7*k**2 + 203 - 161 + 3*k**4 = 0. Calculate k.
-2, -1, 1, 7
What is j in -7*j**4 + 7*j**4 + 15*j**3 - 3*j**4 - 15*j + 12 - 9*j**2 = 0?
-1, 1, 4
Let p(z) be the second derivative of -z**5/60 + z**4/9 - 5*z**3/18 + z**2/3 - 6*z - 2. Factor p(f).
-(f - 2)*(f - 1)**2/3
Let c be (42/6)/((-1)/2). Let z be 14/(-35)*(10/c)/1. Suppose z*m - 2/7*m**3 - 2/7*m**2 + 2/7*m**4 + 0 = 0. Calculate m.
-1, 0, 1
Let j be (-1 - -2)*(-240)/60 - -7. Find b such that -1/2*b**j + 0*b**2 + 1/2*b + 0 = 0.
-1, 0, 1
Let y(v) be the second derivative of -3*v**2 + 0 - 8*v**4 - 16*v - 13/2*v**3 - 111/20*v**5 - 2/7*v**7 - 2*v**6. What is j in y(j) = 0?
-2, -1, -1/2
Determine y so that 3*y + 0 - 1/3*y**3 - 1/3*y**4 + 3*y**2 = 0.
-3, -1, 0, 3
Let b(v) be the second derivative of -1/9*v**3 - 2/9*v**2 + v + 0 - 1/54*v**4. Factor b(n).
-2*(n + 1)*(n + 2)/9
Let p = 44 + -42. Let x(n) = n**3 - 4*n**2 - 3*n - 7. Let f be x(5). What is c in 0*c**2 - 2*c**2 + c**2 + 2*c**f - c**p = 0?
0, 1
Let n(w) be the third derivative of -w**5/270 + 13*w**4/54 - 169*w**3/27 - 25*w**2. Factor n(i).
-2*(i - 13)**2/9
Let o be ((-4)/(-24)*0)/(1*2). Suppose l - 3*l = -o*l. Determine f, given that 49/5*f**5 + 35*f**4 + 8/5*f + 186/5*f**3 + 68/5*f**2 + l = 0.
-2, -1, -2/7, 0
Suppose -32*q - 75 = -37*q. Let r be (6/(-11))/(2*q/(-20)). Factor -r + 4/11*n**2 - 2/11*n**3 + 2/11*n.
-2*(n - 2)*(n - 1)*(n + 1)/11
Let s be (-5 - (-2)/(-1))*(-220)/770. Let y(j) be the first derivative of s*j - j**3 - 5/2*j**2 + 2. Factor y(m).
-(m + 2)*(3*m - 1)
Suppose 2*r + 23 = 55*f - 52*f, -2 = 4*f + 2*r. Let 0 + f*c**2 - 3/2*c - 3/2*c**3 = 0. Calculate c.
0, 1
Suppose 7*s = -31 - 81. Let x be (-15)/(-12) - 12/s. Factor -2/11*h**x - 18/11 + 12/11*h.
-2*(h - 3)**2/11
Factor 3*c**2 + 7 + 7 + 27*c + 8 + 2.
3*(c + 1)*(c + 8)
Let p(x) be the second derivative of 7*x**5/20 + 17*x**4/12 + 13*x**3/6 + 3*x**2/2 + 585*x + 1. What is i in p(i) = 0?
-1, -3/7
Let f(m) be the third derivative of -m**8/168 + 23*m**7/105 + 49*m**6/60 + 5*m**5/6 + m**2 - 7*m. Factor f(d).
-2*d**2*(d - 25)*(d + 1)**2
Let m(v) = -v**3 - 12*v**2 + 4. Let d be m(-12). Let a be 11 + (-7271)/693 + 6/(-27). Solve 1/7*s**5 - 3/7*s**d + 3/7*s**2 + 1/7*s**3 + 0 - a*s = 0.
-1, 0, 1, 2
Let -50*m - 42*m - 2*m**4 + 152*m**2 - 12*m - 46*m**3 = 0. Calculate m.
-26, 0, 1, 2
Let s(x) be the second derivative of -x**5/20 + x**4/12 + 249*x. Factor s(a).
-a**2*(a - 1)
Let n(k) = 3*k + 2. Let z be (-6)/10 + 12/20. Let x be n(z). Factor -6/5*h - 4/5 - 2/5*h**x.
-2*(h + 1)*(h + 2)/5
Suppose z = -4*z + 2970. Determine i, given that 4*i**4 + 591*i**2 - z*i**2 - i**4 = 0.
-1, 0, 1
Let q = -30 - -34. Factor 4*n**4 + 3*n**3 - q*n**2 - 4*n - 2*n**3 + 3*n**3.
4*n*(n - 1)*(n + 1)**2
Suppose -247 = -2*j - 7. Let h = -358/3 + j. Factor 0 - 1/3*f**2 - h*f.
-f*(f + 2)/3
Let z(v) be the first derivative of 4/11*v**3 + 1/22*v**4 - 2/55*v**5 + 0*v + 0*v**2 + 10. Let z(l) = 0. Calculate l.
-2, 0, 3
Let q be 100/(-16) - -3*(-35)/(-15). Factor 9/4*s**2 + q*s + 0 + 3/4*s**4 + 9/4*s**3.
3*s*(s + 1)**3/4
Let t(r) = -5*r**2 + 30*r. Let v(m) = -3*m + 10*m - 2*m**2 + 3*m. Let f(p) = 3*t(p) - 10*v(p). Find a such that f(a) = 0.
0, 2
Let j(l) be the third derivative of l**5/210 - 5*l**4/14 - 31*l**3/21 + 61*l**2. Factor j(w).
2*(w - 31)*(w + 1)/7
Let s(i) be the third derivative of -i**5/48 + 5*i**4/12 - 5*i**3/2 + 42*i**2 + 3*i. Factor s(k).
-5*(k - 6)*(k - 2)/4
Let c(z) be the third derivative of -z**7/25200 - z**6/2400 - 2*z**4/3 + 41*z**2. Let o(v) be the second derivative of c(v). Determine u, given that o(u) = 0.
-3, 0
Let v(g) be the second derivative of -3*g**5/20 + 23*g**4/2 + g**3/2 - 69*g**2 + 209*g. Find i such that v(i) = 0.
-1, 1, 46
Let z(k) be the first derivative of 0*k**3 + 5/4*k**4 - 15/2*k**2 - 10*k - 5. Solve z(r) = 0.
-1, 2
Let k(j) be the second derivative of 5*j - 1/90*j**6 + 0*j**2 + 0 - 5/36*j**4 + 1/9*j**3 + 1/15*j**5. Factor k(s).
-s*(s - 2)*(s - 1)**2/3
Suppose 5*p = -3*s - 12 + 34, -p = -3*s + 10. Factor 1/7*n + 1/7*n**p + 0.
n*(n + 1)/7
Let a(g) be the second derivative of -16*g + 4*g**2 - 7/3*g**3 + 1/4*g**4 + 0. Factor a(c).
(c - 4)*(3*c - 2)
Suppose 5*a = -2*a + 70. Let 11 - 32 + 5*j**2 + 6 + a + 5*j**3 - 5*j = 0. What is j?
-1, 1
Let u(a) be the second derivative of -5*a**4/12 + 5*a**2 + 12*a. Let m(g) = g**3 + 5*g**2 - g - 9. Let d(p) = 5*m(p) + 4*u(p). Factor d(k).
5*(k - 1)*(k + 1)**2
Let r(b) be the third derivative of -b**6/180 + b**4/3 + 11*b**3/3 + 19*b**2. Let m(x) be the first derivative of r(x). Let m(n) = 0. What is n?
-2, 2
What is s in 102*s**2 + 208*s + 107*s**2 - 337*s**2 - 80 + 108*s**2 = 0?
2/5, 10
Let c be ((-1)/(-2))/(-2 + 1)*(420 - 420). Find t such that c + 2/5*t**3 - 8/5*t - 6/5*t**2 = 0.
-1, 0, 4
Suppose -5*p + 64 = -11. Solve 4*a**2 + 10*a + 12 + p*a - a - 4*a**3 - 4*a = 0.
-1, 3
Suppose -q + 12 = 4*g, 25 = 5*q + 4*g + 13. Suppose -4*y + 2*o + 2 = q, 7*y = 10*y - 2*o. What is n in 1/4*n**3 - 3/4*n**y + 0*n + 0 = 0?
0, 3
Suppose -4/9*d**2 + 8/9*d + 4/3 = 0. Calculate d.
-1, 3
Let b = -9 + 49. Suppose -20*x**4 + 14*x**3 - b*x + 21*x**3 + 5*x**3 - 30*x**4 + 42*x**2 + 8 = 0. What is x?
-1, 2/5, 1
Let u(t) be the third derivative of 1/180*t**5 + 0 + 0*t + 0*t**3 + 1/72*t**4 - 5*t**2. Factor u(i).
i*(i + 1)/3
Let y be 0/((9 + -23)/14). Suppose 14/5*z**4 + y*z - 6*z**3 - 2/5*z**5 + 18/5*z**2 + 0 = 0. What is z?
0, 1, 3
Let r(u) = -12*u**3 + 24*u**2 - 68*u + 48. Let l(k) = -2*k**3 - k**2 + k + 1. Let p(y) = 8*l(y) - r(y). Solve p(s) = 0 for s.
-10, 1
Let o(w) = -w**2 - 9*w - 7. Let d be o(-6). Suppose 3*l + d = 2*a, 0*l - 13 = -3*a + l. Factor 2 - 4*q**2 - 3*q**3 + q**3 + 2 + 2*q**a - 2*q**2 + 2*q.
2*(q - 2)*(q - 1)*(q + 1)**2
Let a be (-14)/105*4/((-20)/(-125)) - -4. Find l such that -l + 1/3*l**3 + 0*l**2 + a = 0.
-2, 1
Let s(m) be the second derivative of -m**7/42 + 31*m**6/30 - 37*m**5/2 + 1075*m**4/6 - 6125*m**3/6 + 6875*m**2/2 + 2*m - 122. Suppose s(h) = 0. What is h?
5, 11
Find w, given that 0 + 0*w**2 - 3/5*w**4 + 0*w + 21/5*w**3 = 0.
0, 7
Let j(i) be the second derivative of -27/5*i**2 - 10*i + 0 - 21/10*i**3 - 2/5*i**4 - 3/100*i**5. Factor j(u).
-3*(u + 2)*(u + 3)**2/5
Suppose -q - 3 + 5 = 0, -w + 27 = 5*q. Let d be (6/40)/(w/68). Factor 0 + 2/5*u**2 + 0*u + d*u**3 + 1/5*u**4.
u**2*(u + 1)*(u + 2)/5
Let z be 2/10*945/756. Let v = -50 + 101/2. Factor z*n**2 + 0 + v*n.
n*(n + 2)/4
Let g = -1144/7 - -5762/35. Determine o so that 3/5*o - 3/5*o**4 - g*o**3 - 3/5 + 6/5*o**2 + 3/5*o**5 = 0.
-1, 1
Suppose 0 = 13*q - 25 - 14. Let j(d) be the second derivative of 0 - 1/4*d**4 - 3/20*d**5 + 0*d**q + 0*d**2 