5*g - g. Let x = 4 - 4. Let d + x - 2*z**2 - 2 = 0. What is z?
-1, 1
Let x be 4 - (5/10 + (-9)/(-6)). Suppose -4/3 - x*h + 2/3*h**3 + 0*h**2 = 0. Calculate h.
-1, 2
Suppose 0*a = 3*a - 48. Suppose -18*r + a - 4*r**3 + 5*r - 12*r**2 + 13*r = 0. What is r?
-2, 1
Let c(a) be the first derivative of a**4/4 + a**3/3 - 8*a**2 + 20*a - 5. Factor c(t).
(t - 2)**2*(t + 5)
Let r = 6418/803 + 266/73. Let c(d) be the first derivative of -168/11*d**3 - 1 + 296/11*d**4 + 108/11*d - 81/11*d**2 - r*d**5. Factor c(o).
-2*(4*o - 3)**3*(5*o + 2)/11
Suppose 0*j + 5*d = 2*j + 11, -j = -d + 1. Let h be 3/2*(-10)/(-25). Factor h*f + 3/5*f**j + 0.
3*f*(f + 1)/5
Let m be 0*(2/(-8) + (-9)/(-12)). Determine n so that -12/7*n + m - 48/7*n**2 - 51/7*n**3 - 15/7*n**4 = 0.
-2, -1, -2/5, 0
Let x(h) be the third derivative of h**7/630 + h**6/120 + h**5/90 + 9*h**2. Factor x(u).
u**2*(u + 1)*(u + 2)/3
Let 20/7*b - 20/7*b**3 - 8/7*b**2 + 8/7 = 0. Calculate b.
-1, -2/5, 1
Let p(z) be the third derivative of 2*z**5/15 + 7*z**4/12 - 2*z**3/3 + 4*z**2. Factor p(h).
2*(h + 2)*(4*h - 1)
Let i = -631/5 - -125. Let j = i - -17/10. Solve -3/2*s + 3/2*s**2 + 1/2 - j*s**3 = 0.
1
Let t be 12/(-8) - 81/(-2). Let b = t - 189/5. Let 2/5*v**3 + 6/5*v - b*v**2 - 2/5 = 0. Calculate v.
1
Suppose -6 = -i - i. Factor -3*g**4 + 3*g**2 + g + i*g**4 + 2*g**4 + 3*g**3 - g**4.
g*(g + 1)**3
Let u(b) be the second derivative of 0 - 1/80*b**5 + 1/24*b**3 - 1/120*b**6 + 1/48*b**4 + 3*b + 0*b**2. Determine o so that u(o) = 0.
-1, 0, 1
Determine j, given that -10*j + 3 - 10 + j + 1 - 3*j**2 = 0.
-2, -1
Let n(m) be the second derivative of -m**4/16 + m**3/4 + 9*m**2/8 + 3*m. Suppose n(z) = 0. Calculate z.
-1, 3
Let z(o) = o**4 + 5*o**3 + 5*o**2 - 11*o - 3. Let s(q) = -4*q**4 - 24*q**3 - 26*q**2 + 54*q + 14. Let l(j) = 6*s(j) + 28*z(j). Solve l(u) = 0.
-2, 0, 1, 2
Let c(x) = x**2 - 6*x - 14. Let v be c(8). Let k(a) be the first derivative of v*a**2 + 4*a + 2 + 1/3*a**3. Factor k(y).
(y + 2)**2
Let y be (-1)/(1/3*-1). Let v = 30 - 28. Factor -r**3 - 4*r**3 + 5*r**y - 14*r**2 + 6*r**3 - v + 10*r.
2*(r - 1)**2*(3*r - 1)
Let l(s) be the second derivative of -s**7/2520 + s**6/360 - s**5/120 + s**4/4 - 2*s. Let n(r) be the third derivative of l(r). Factor n(i).
-(i - 1)**2
Let h(l) be the first derivative of 0*l**2 + 0*l + 0*l**4 - 1/36*l**6 - 2/3*l**3 + 1/30*l**5 + 3. Let a(v) be the third derivative of h(v). Factor a(c).
-2*c*(5*c - 2)
Let x be (((-54)/(-15))/9)/(2/32). Factor -x*i**2 - 14/5*i**3 - 22/5*i - 4/5.
-2*(i + 1)**2*(7*i + 2)/5
Let y = 388 + -383. Find z, given that -10/11*z**2 + 0 + 4/11*z - 6/11*z**y + 2/11*z**3 + 10/11*z**4 = 0.
-1, 0, 2/3, 1
Let m(q) be the first derivative of -3 - 1/3*q**3 + 1/4*q**2 + 1/8*q**4 + 0*q. Suppose m(s) = 0. What is s?
0, 1
Let n(x) = -x**2 - 1. Let t(l) = -l**3 - 7*l**2 - l - 5. Let r(y) = 15*n(y) - 3*t(y). Factor r(j).
3*j*(j + 1)**2
Let t(w) = -w**3 + 18*w**2 - 18*w + 20. Let b be t(17). Factor 30*k - 4*k**2 - 28*k + 2*k**3 + 0*k**b.
2*k*(k - 1)**2
Suppose 0 = 5*g - 10*g + 25. Factor 2*u**2 - u + g*u + 0*u**3 - 2*u**3.
-2*u*(u - 2)*(u + 1)
Solve 3*p**2 - 4*p + 0*p + 8 - p**2 + 12*p = 0 for p.
-2
Let v be 2/2*((-21)/3 - -10). Factor 0 - 4/7*f - 2/7*f**v - 6/7*f**2.
-2*f*(f + 1)*(f + 2)/7
Let q(x) = 0*x + 3 + 3*x + x + x**2. Let g be q(-4). Solve 2*d**2 - g + 3 + 4*d + 0*d = 0 for d.
-2, 0
Factor 36/5*z**5 + 0 + 8/5*z**3 + 0*z + 44/5*z**4 + 0*z**2.
4*z**3*(z + 1)*(9*z + 2)/5
Suppose -2*d + 5*d - 15 = 0. Suppose 2*x = 3*x - 4. Factor -2*s**d - 3*s**x - 2*s**3 - 2*s**4 + 9*s**4.
-2*s**3*(s - 1)**2
Factor -2/5*d**4 + 1/5*d**5 + 1/5*d**3 + 0*d + 0*d**2 + 0.
d**3*(d - 1)**2/5
Suppose 0 = 7*q - 10*q. Find d such that 1/6*d**2 + 1/6*d**4 + 0 + 1/3*d**3 + q*d = 0.
-1, 0
Let v(s) be the first derivative of -s**3/6 + s**2/4 + s + 2. Factor v(n).
-(n - 2)*(n + 1)/2
Let a(c) be the first derivative of 38*c**3/33 - 17*c**2/11 - 4*c/11 - 37. What is q in a(q) = 0?
-2/19, 1
Let t(x) be the first derivative of -x**6/1440 + x**5/240 + x**4/32 - 2*x**3 - 1. Let i(n) be the third derivative of t(n). Factor i(q).
-(q - 3)*(q + 1)/4
Let m(h) be the second derivative of h**6/360 - h**4/24 - h**3/9 + 3*h**2/2 - h. Let n(w) be the first derivative of m(w). Factor n(z).
(z - 2)*(z + 1)**2/3
Let d(x) = 3*x**2 + 2*x - 1. Let r be d(1). Factor -1/4*p**3 - 5/2*p**2 + p + 2 - 1/4*p**5 + p**r.
-(p - 2)**3*(p + 1)**2/4
Factor 2/3*q**2 + 50/3 + 20/3*q.
2*(q + 5)**2/3
Let g(c) be the first derivative of 0*c**3 + 0*c**2 + 0*c - 6 - 1/4*c**4. Determine m, given that g(m) = 0.
0
Factor 7/5*p**2 - p**3 + 0 - 4/5*p**4 + 2/5*p.
-p*(p - 1)*(p + 2)*(4*p + 1)/5
Let t(a) = a**3 - 6*a**2 + 7*a. Let d be t(5). Let g(z) = -z + 12. Let b be g(d). What is q in 1 - 1 - 4*q - 4 - q**b = 0?
-2
Let a = 1 - -1. Suppose a*z = z + 3. Factor 2/3*d**2 - 2/3 + 2/3*d**z - 2/3*d.
2*(d - 1)*(d + 1)**2/3
Factor 58*o**2 - 4*o**2 + 14*o**4 - 52*o**3 - 10 - 8*o + 0*o**3 + 2.
2*(o - 2)*(o - 1)**2*(7*o + 2)
Let x(g) be the first derivative of -2*g**6/3 - 4*g**5/5 + 3*g**4 + 4*g**3/3 - 4*g**2 + 50. Determine b so that x(b) = 0.
-2, -1, 0, 1
Let o(a) = -154*a**3 + 334*a**2 - 66*a - 14. Let f(u) = 31*u**3 - 67*u**2 + 13*u + 3. Let t = -35 + 21. Let s(n) = t*f(n) - 3*o(n). Factor s(w).
4*w*(w - 2)*(7*w - 2)
What is w in -8/11 - 2*w**2 - 48/11*w = 0?
-2, -2/11
Let t(v) = -4*v**2 - v**3 - 2 - v**2 - 4*v + 2*v**2. Let x be t(-2). Factor -3*m**x + 7*m + 2 - 3*m**2 - 3*m.
-2*(m - 1)*(3*m + 1)
Let c(g) be the third derivative of g**7/490 - g**6/140 + g**5/140 + 4*g**2. Suppose c(u) = 0. Calculate u.
0, 1
Factor -3/5*u**2 - 18/5*u - 27/5.
-3*(u + 3)**2/5
Let f = 45/94 + 1/47. Let b be 0/((4 + (-12)/4)*-1). Factor 1/2*q**2 + b*q - 1/2*q**5 + 0 - 1/2*q**4 + f*q**3.
-q**2*(q - 1)*(q + 1)**2/2
Let g(o) = o**2 - 2*o - 12. Let r be g(-3). Determine u, given that 0*u**2 + 0*u - 2/7*u**r - 2/7*u**4 + 0 = 0.
-1, 0
Factor -62*n**5 + 9*n**4 - 81*n**2 + 130*n**5 - 65*n**5 - 27*n**3.
3*n**2*(n - 3)*(n + 3)**2
Let g(x) be the first derivative of 3*x**8/560 - x**7/70 + x**6/120 - 2*x**3/3 + 2. Let s(h) be the third derivative of g(h). Factor s(o).
3*o**2*(o - 1)*(3*o - 1)
Let g = 11 - 7. Let w(b) be the third derivative of 0 + 1/9*b**3 - 2*b**2 - 7/180*b**5 + 0*b + 5/72*b**g. Let w(v) = 0. Calculate v.
-2/7, 1
Let q(d) be the second derivative of 25*d**5/4 - 25*d**4/6 + 5*d**3/6 - 12*d. Factor q(h).
5*h*(5*h - 1)**2
Let m = -491 - -491. Factor -3/5*r**3 + m*r**2 + 0*r**4 + 3/5*r**5 + 0*r + 0.
3*r**3*(r - 1)*(r + 1)/5
Let j(t) = -t**5 + t**2. Let p(h) = -7*h**5 - 6*h**4 + 2*h**3 - h**2. Let x = 11 + -10. Let a(r) = x*j(r) + p(r). Let a(n) = 0. Calculate n.
-1, 0, 1/4
Let g be -4 + (-40)/(-3 - 1). Let y(k) = -k**3 - k**2. Let l(n) = 7*n**3 + 7*n**2. Let i(c) = g*y(c) + l(c). Suppose i(p) = 0. What is p?
-1, 0
Let m(x) = -x - 2. Let k be m(3). Let r be (-1)/((-35)/(-2))*k. Find z such that r + 12/7*z**2 + 8/7*z**3 + 2/7*z**4 + 8/7*z = 0.
-1
Let u(y) be the third derivative of -y**6/60 + y**5/30 + 3*y**2. Let u(d) = 0. Calculate d.
0, 1
Suppose -5*c - 5*l + 15 = 0, 2*l - 5 = 4*c + 1. Let d(w) be the second derivative of -2/9*w**4 + c - 1/3*w**2 - 5/9*w**3 + 2*w. Find j, given that d(j) = 0.
-1, -1/4
Let i(y) be the first derivative of -y**6/27 - 2*y**5/9 - y**4/2 - 14*y**3/27 - 2*y**2/9 - 21. Factor i(m).
-2*m*(m + 1)**3*(m + 2)/9
Let i(b) be the second derivative of 121*b**7/189 - 77*b**6/135 - 4*b**5/9 - 2*b**4/27 - 25*b. Suppose i(l) = 0. What is l?
-2/11, 0, 1
Let o(k) be the second derivative of 5*k**4/12 + 10*k**3/3 + 15*k**2/2 + 4*k. Factor o(c).
5*(c + 1)*(c + 3)
Factor -26/5*v - 18/5*v**3 + 48/5*v**2 + 4/5.
-2*(v - 2)*(3*v - 1)**2/5
Let c(o) be the first derivative of -o**6/240 + o**5/60 - o**4/48 - o**2/2 - 3. Let m(r) be the second derivative of c(r). Factor m(g).
-g*(g - 1)**2/2
Let j = -127 - -127. Let d(r) be the third derivative of 0*r - 1/20*r**5 - 3/70*r**7 + 0*r**4 + 0*r**3 - 1/112*r**8 + 5*r**2 - 3/40*r**6 + j. Factor d(k).
-3*k**2*(k + 1)**3
Let x be (-57)/12 + (-1 - -6). Factor -x*i**2 + 3/4*i**3 + 0*i + 0.
i**2*(3*i - 1)/4
Suppose -18 = v - 7*v. Let d(s) be the first derivative of 1/3*s**3 - v + 1/3*s - 1/12*s**4 - 1/2*s**2. Let d(y) = 0. What is y?
1
Factor 1/8*s**2 - 7/8*s - 1.
(s - 8)*(s + 1)/8
Let a = 57/4 + -131/12. Let 4/3 - a*g + 38/3