 6 - 8*c**3 + 10*c = 0.
-3, 1
Let j = -31597 - -347569/11. Factor j*t - 4/11 + 2/11*t**2.
2*(t - 1)*(t + 2)/11
Let r be (-2 - -6)/((-1 - 0)*-2). Factor 150/17*q - 250/17 + 2/17*q**3 - 30/17*q**r.
2*(q - 5)**3/17
Suppose 3*m = 3*j - 36 - 15, j - 26 = 4*m. Determine z, given that 52*z**5 - 5*z**2 - 47*z**5 - 15*z**3 + 5*z**4 + j*z - 4*z = 0.
-2, -1, 0, 1
Let l be (-648)/(-432) + 377/10. Find m such that 28/5*m + 1/5*m**2 + l = 0.
-14
Let m(c) = -c + 16. Let j be m(13). Factor 5*u**3 + 2*u**2 + 9*u**3 + 7*u**3 - 22*u**j.
-u**2*(u - 2)
Suppose 0 = -7*t - 1 + 22. Let w(u) = u**3 + u**2 + 1. Let v(d) = -d**2 + 1. Let y(n) = t*v(n) - 3*w(n). Let y(m) = 0. What is m?
-2, 0
Let i(b) be the first derivative of 1/80*b**5 - 1/12*b**3 - 1/48*b**4 + 2 + 0*b**2 - 3*b. Let m(k) be the first derivative of i(k). Factor m(j).
j*(j - 2)*(j + 1)/4
Let n(b) = -b**3 - 8*b**2 + 2*b - 7. Let x(f) = -f**3 - 7*f**2 + 2*f - 6. Let v(c) = 6*n(c) - 7*x(c). Factor v(i).
i*(i - 1)*(i + 2)
Let q(m) = -5*m**2 - 11*m. Let j(p) = 56*p**2 + 122*p. Let u(b) = 6*j(b) + 68*q(b). Factor u(x).
-4*x*(x + 4)
Let p(m) be the first derivative of 1/12*m**6 + 27 + 3/8*m**4 + 0*m + 3/10*m**5 + 1/6*m**3 + 0*m**2. Factor p(f).
f**2*(f + 1)**3/2
Find n such that 0 - n**2 - 7/6*n = 0.
-7/6, 0
Let l(a) be the third derivative of -2*a**7/525 + a**6/50 - a**5/75 - a**4/10 + 4*a**3/15 + 2*a**2 + 53. Let l(u) = 0. Calculate u.
-1, 1, 2
Let w(k) = -k**2 - 2*k - 1. Let g(n) = -40*n**2 - 1160*n - 59440. Let y(r) = -g(r) + 35*w(r). Factor y(b).
5*(b + 109)**2
Let o(a) be the third derivative of a**6/280 - 27*a**5/70 + 825*a**4/56 - 1250*a**3/7 + 19*a**2 - 6*a. Suppose o(p) = 0. What is p?
4, 25
Let d = 53239/63858 + -4/10643. Solve 5/6*k**3 - 1/3*k**2 + 1/3 - d*k = 0.
-1, 2/5, 1
Let g(b) be the third derivative of -b**6/60 - 11*b**5/30 + b**4/12 + 11*b**3/3 + 142*b**2 - 2. Factor g(j).
-2*(j - 1)*(j + 1)*(j + 11)
Let l be (-6)/16*(-184)/12 - 4. Let t = 313/148 + 5/37. Factor 15/4*r**3 + 1/4*r**5 + 0 + l*r**4 + t*r**2 + 0*r.
r**2*(r + 1)*(r + 3)**2/4
Let f be 12/(12/3) - -1. Let -9*m**3 + 15*m**3 - 5*m - 19*m + m**2 + m**f + 16 = 0. Calculate m.
-4, 1
Suppose 0*i = -24*i - 18*i. Let n(x) be the second derivative of 5/12*x**4 + i - 5*x**2 + x - 5/6*x**3. Factor n(m).
5*(m - 2)*(m + 1)
Let g be 754/2730 - 4/28. Let 4/15*o - g*o**2 - 2/15 = 0. What is o?
1
Let w = -47 + 47. Let c(j) be the third derivative of 0*j - 1/84*j**4 + 1/420*j**6 + 2/21*j**3 - 1/105*j**5 + 2*j**2 + w. Factor c(z).
2*(z - 2)*(z - 1)*(z + 1)/7
Suppose -4*b + 804 + 2928 = 0. Let s = b - 1791/2. Let -255/2*l**2 + 60*l + 115*l**3 - s*l**4 - 10 = 0. Calculate l.
2/5, 2/3, 1
Let k(c) be the third derivative of 1/10*c**3 - c**2 - 1/30*c**4 + 0*c + 1/300*c**5 + 0. Solve k(u) = 0.
1, 3
Suppose 4150 = 5*l - 5*v, 5*v = -l - 0*l + 830. Factor 6 + l*u - 3 - 6*u**3 - 3*u**2 - 824*u.
-3*(u - 1)*(u + 1)*(2*u + 1)
Let c(v) be the first derivative of 1/15*v**5 - 1/3*v + 0*v**3 - 4 + 1/6*v**4 - 1/3*v**2. Factor c(g).
(g - 1)*(g + 1)**3/3
Let q = -11 + -32. Let g = -26 - q. Factor -g - t**2 + 17.
-t**2
Let w be (-10 + 158/16)*-2. Suppose -1/4*c + 0 + 1/4*c**3 + 1/4*c**2 - w*c**4 = 0. What is c?
-1, 0, 1
Let x = 1951/2190 + 2/219. Let m = x + 18/5. Solve -9*y**3 + m*y + 15/2*y**2 - 3 = 0 for y.
-2/3, 1/2, 1
Let l(v) be the first derivative of 0*v + 0*v**3 - 1 + 1/15*v**5 + 0*v**4 + 0*v**2. Factor l(t).
t**4/3
Let j be ((-2)/28)/((-8)/80). Let f(q) be the first derivative of 1/2*q**4 + 4/35*q**5 + 4 + 6/7*q**3 + 2/7*q + j*q**2. Factor f(m).
2*(m + 1)**3*(2*m + 1)/7
Suppose 17 + 1 = -6*h. Let p be (h + 12)*3/9. Let 3/2 - 3/2*l**4 - 3*l + p*l**3 + 0*l**2 = 0. Calculate l.
-1, 1
Let 3*k**5 + 6*k**2 - 11*k**3 - 10*k**4 - 12*k**2 + 14*k**3 + 6*k**2 = 0. Calculate k.
0, 1/3, 3
Let r(c) be the second derivative of c**3 + 0 - 27*c + 9/20*c**5 + 5/4*c**4 + 0*c**2. Factor r(d).
3*d*(d + 1)*(3*d + 2)
Let z(k) = -2*k**2 - 13*k + 6. Let p be z(-7). Let b be (p + 1)*(-1)/(-3). Factor b*g**2 + 5/3*g**4 + 0 - 2/3*g**3 + 7/3*g**5 + 0*g.
g**3*(g + 1)*(7*g - 2)/3
Let m = -1078/45 - -248/9. Let o(b) be the first derivative of m*b**2 + 1 + 9/10*b**4 - 13/5*b**3 - 3/25*b**5 - 12/5*b. Factor o(t).
-3*(t - 2)**2*(t - 1)**2/5
Let w(c) = -45*c**2 - 3*c + 64. Let b(z) = 90*z**2 + 6*z - 120. Let u(f) = -8*b(f) - 15*w(f). Find d, given that u(d) = 0.
-1/15, 0
Let c = 11 - -4. Determine g, given that -70*g**4 + 0 - 7*g - 13*g - 80*g**2 + 0 - 115*g**3 - c*g**5 = 0.
-2, -1, -2/3, 0
Solve -148/7*c**4 + 2/7*c**5 + 3746/7*c**3 + 58752/7*c - 34704/7*c**2 - 27648/7 = 0 for c.
1, 24
Factor -2539 + 3*h**2 - 2541 - 2533 + 36*h + 7613.
3*h*(h + 12)
Let r(q) be the third derivative of 0*q + 1/6*q**3 - 3/80*q**5 + 6*q**2 + 1/210*q**7 - 1/48*q**4 + 1/192*q**6 - 1/896*q**8 + 0. What is m in r(m) = 0?
-1, 2/3, 2
Factor -540 + 660*g + 1094*g**2 - 588*g**2 + 5*g**4 + 0*g**3 + 10*g**3 - 741*g**2.
5*(g - 3)*(g - 2)**2*(g + 9)
Let p(u) be the third derivative of 8*u**2 + 0*u**3 + 1/40*u**5 + 0*u + 0 - 1/240*u**6 - 1/24*u**4. Factor p(q).
-q*(q - 2)*(q - 1)/2
Let v(g) be the third derivative of -7/8*g**6 + 0*g + 10*g**3 + 0 + 35/6*g**4 - 55/12*g**5 - 23*g**2. Factor v(u).
-5*(u + 3)*(3*u - 2)*(7*u + 2)
Let j be (-8)/1*(12 + 1595/(-132)). Factor -8/15*n**2 + j*n + 2/15*n**3 - 4/15.
2*(n - 2)*(n - 1)**2/15
Let -34*k + 18*k**5 + 196*k**3 + 12*k**5 + 148*k**4 - 15 + 14 + 56*k**2 - 3 - 8 = 0. What is k?
-3, -1, -1/3, 2/5
Let n(g) be the second derivative of 10*g + 0*g**4 - 1/30*g**5 + 0*g**2 + 1/27*g**3 + 0 - 2/135*g**6. Determine z so that n(z) = 0.
-1, 0, 1/2
Let i(r) be the second derivative of 13/6*r**4 + 0 + 3/10*r**5 + 8*r + 4*r**2 + 16/3*r**3. Factor i(f).
2*(f + 2)**2*(3*f + 1)
Let r(n) be the first derivative of -2*n**3/9 - 29*n**2/3 - 36*n + 325. Find t such that r(t) = 0.
-27, -2
Suppose 3*j - 14 = -5. Let p be (2 + -3)/(j/(-6)). Find v such that 3/4 + 3/4*v**3 + 9/4*v**p + 9/4*v = 0.
-1
Let s(w) be the third derivative of 1/75*w**5 + 0*w**4 + 11*w**2 - 1/420*w**8 + 0 + 0*w**3 + 1/150*w**6 - 2/525*w**7 + 0*w. Factor s(o).
-4*o**2*(o - 1)*(o + 1)**2/5
Let x(c) = -46*c**4 + 42*c**3 + 6*c**2 + 46*c + 18. Let n(o) = -2*o**4 + 2*o**3 + 2*o + 1. Let s(p) = 44*n(p) - 2*x(p). What is i in s(i) = 0?
-2, -1, 1
Let h(b) be the second derivative of -b**6/4 + 21*b**5/40 + 3*b**4/2 - 283*b. Find x such that h(x) = 0.
-1, 0, 12/5
Let y be (-2 - -5) + 1 - (-1 - -1). Let j = -10 + 16. Find w such that -6*w + j*w - 5*w - y - 5*w**2 + 14 = 0.
-2, 1
Factor 6*f**2 - 88*f + 41*f + 43*f + f**4 - 3*f**4.
-2*f*(f - 1)**2*(f + 2)
Suppose 0 = 12*d - 10*d - 8, -5*h = 5*d - 45. Let c(z) be the first derivative of -1 - h*z**3 + 12*z**4 + 0*z - 27/5*z**5 - 3*z**2. Let c(t) = 0. What is t?
-2/9, 0, 1
Let l = 106/3 + -35. Let j(b) be the second derivative of -4*b + 2/27*b**3 + l*b**2 - 1/54*b**4 + 0. Factor j(g).
-2*(g - 3)*(g + 1)/9
Factor -57/4 + 27/2*l + 3/4*l**2.
3*(l - 1)*(l + 19)/4
Let j = 4 + -2. Factor f + f + f + f**2 + 5*f**j.
3*f*(2*f + 1)
Suppose 22*k = 17*k + 15. Let y(a) = 2*a**2 + 2*a - 1. Let l be y(-2). Find s such that l*s - 6*s + 8*s**k - 5*s**3 = 0.
-1, 0, 1
Let u(o) be the second derivative of -o**7/210 + o**6/120 + o**5/60 - o**4/24 + 3*o**2/2 + 2*o. Let f(p) be the first derivative of u(p). Factor f(h).
-h*(h - 1)**2*(h + 1)
Let d(v) be the third derivative of -7*v**5/60 - v**4/2 + 2*v**3/3 - 115*v**2. Suppose d(n) = 0. Calculate n.
-2, 2/7
Suppose 210 = -4*b - 2*b. Let q be (12/b)/((-3)/21). Find z such that -18/5 - q*z - 2/5*z**2 = 0.
-3
Let v(t) be the first derivative of -t**3/3 + 13*t**2 - 25*t - 123. Factor v(b).
-(b - 25)*(b - 1)
Let z(v) = -6 - 11*v - 110*v**2 + 113*v**2 - 2 + 6. Let p be z(4). What is g in 4/5*g**p - 4/5*g**4 + 0 + 0*g + 0*g**3 = 0?
-1, 0, 1
Let u be 1/2 + 22/4. Let g(k) be the second derivative of 5*k**4/12 + 4*k**3/3 - 5*k**2 + 12*k + 2. Let q(i) = -i**2 - 1. Let x(z) = u*q(z) + g(z). Factor x(r).
-(r - 4)**2
Suppose -2*h + 7 = 3*g, -5 = -0*g - g + 2*h. Let i be 3*(g + 100/(-36)). Factor -1/3 - 2/3*d**3 - i*d**2 + d**4 - 1/3*d**5 + d.
-(d - 1)**4*(d + 1)/3
Let f(b) be the third derivative of -b**6/1200 + b**5/120 - b**4/60 + 5*b**2 - 7*b. Find t, given that f(t) = 0.
0, 1, 4
Let v(q) be the third derivative of q**6/60 - q**5/30 - 50*q**2. Factor v(w).
2*w**2*(w - 1)
Factor 375*d