-6 + 38. Let j(q) = -q**2 - 4*q + 7. Let p be j(-5). Let 21*g**2 - 52*g + 49*g**p + n*g**3 + 8 + 17*g**3 = 0. What is g?
-2, 2/7
Let y(i) be the first derivative of -2*i - 7/12*i**4 - 1 - i**2 + 3/2*i**3. Let x(b) be the first derivative of y(b). Factor x(j).
-(j - 1)*(7*j - 2)
Let n(o) be the third derivative of o**7/210 + o**6/18 + 4*o**5/15 + 2*o**4/3 - o**3 + 2*o**2. Let z(p) be the first derivative of n(p). What is f in z(f) = 0?
-2, -1
Suppose -2*b + 39 = -2*h + 7*h, 0 = -2*h + 6. Suppose b = c + 3*c. Factor v**3 - 6*v**2 + 0*v**2 - 4*v - 3*v**c.
-2*v*(v + 1)*(v + 2)
Let p = 94 - 52. Let j be p/27 + 2/(-9). Let g**3 - 7/3*g**2 + j + 0*g = 0. Calculate g.
-2/3, 1, 2
Let h(b) = 5*b**3 + 4*b**2 - 15*b - 6. Let x(f) = -5*f**3 - 5*f**2 + 15*f + 5. Let q(s) = -5*h(s) - 6*x(s). Let q(u) = 0. Calculate u.
-3, 0, 1
Suppose -5*n = 0, -8 = -6*m + 2*m - 2*n. Factor 2/7*i**3 + 2/7*i**m - 4/7*i + 0.
2*i*(i - 1)*(i + 2)/7
Let u = 217/300 + 2/75. Let d + u + 1/4*d**2 = 0. Calculate d.
-3, -1
Let x(i) be the third derivative of i**8/280 + i**7/210 + i**6/360 - 2*i**5/15 - 9*i**2. Let p(b) be the third derivative of x(b). Factor p(f).
2*(6*f + 1)**2
Let s be ((-2)/20)/(6/(-54)*3). Let q(n) be the second derivative of -1/2*n**4 + 0 + 2*n + 3/10*n**5 + s*n**6 - 3/2*n**3 - 3/2*n**2 + 1/14*n**7. Factor q(g).
3*(g - 1)*(g + 1)**4
Let k be (-123)/18 - (-3)/(-18). Let p = 9 + k. Factor 16*h**3 - h + 0*h - h - 8*h**4 - p*h**3 - 4*h**2.
-2*h*(h - 1)**2*(4*h + 1)
Determine a, given that -65*a**4 + 40*a**4 - 40*a + 4*a**5 + 5*a**2 + 20 + 35*a**3 + a**5 = 0.
-1, 1, 2
Suppose 18 = 2*w + w. Factor 4*y**2 + 2 + 2*y**2 + w*y - 2*y**2.
2*(y + 1)*(2*y + 1)
Let r(k) = k**2 - 11*k - 9. Let z be r(12). Let i(a) be the first derivative of -a**2 + 0*a**z + 1/2*a**4 + 0*a + 1. Solve i(f) = 0.
-1, 0, 1
Let u(j) be the first derivative of j**5/25 + j**4/5 + 4*j**3/15 + 41. Find i such that u(i) = 0.
-2, 0
Let j be (-10)/((3 - 11)/4). Suppose -4*m = 5*k - 8, j*m - 3*k - 10 = -8*k. What is l in -5/3*l + 7/3*l**m - 2/3 = 0?
-2/7, 1
Let a be 3 - (-2 + -1 + 3). Determine j, given that 15*j**a - 2*j**4 - 11*j**3 - 4*j + 0*j**4 + 2 = 0.
-1, 1
Let d(u) be the second derivative of 3*u**5/70 - 61*u**4/42 + 320*u**3/21 - 100*u**2/7 - 22*u. Factor d(x).
2*(x - 10)**2*(3*x - 1)/7
Let n(k) be the second derivative of -k**7/630 + k**6/360 + k**5/180 - k**4/72 - 3*k**2/2 - k. Let x(a) be the first derivative of n(a). Factor x(y).
-y*(y - 1)**2*(y + 1)/3
Let v(q) be the second derivative of -q**4/36 + q**3/6 - q**2/3 - 6*q. Determine x so that v(x) = 0.
1, 2
Solve -176*k - 88/3*k**3 - 8/3*k**4 - 96 - 338/3*k**2 = 0 for k.
-4, -3/2
Suppose -5*t - 2*t**2 + 10 - t**2 - 7*t**2 + 5*t**3 = 0. Calculate t.
-1, 1, 2
Let u(k) be the first derivative of k**4/9 + 2*k**3/9 - 7*k + 6. Let p(n) be the first derivative of u(n). Determine x, given that p(x) = 0.
-1, 0
Let v(y) be the first derivative of 2*y**3/15 - 3*y**2/5 - 1. Factor v(c).
2*c*(c - 3)/5
Let f(x) be the third derivative of -x**8/1344 + x**7/280 - x**5/60 - 9*x**2. Solve f(v) = 0 for v.
-1, 0, 2
Suppose 25 = -3*v + 31. Factor 8*r + 9*r - 17*r - 2*r**4 - 2*r**5 + v*r**2 + 2*r**3.
-2*r**2*(r - 1)*(r + 1)**2
Let k be (-1)/6 + (-19)/(-6). Suppose 2*b - k*t = 0, 2*t = -2*b + 5*b. Suppose 2/5*n**5 + 0*n**2 + 0*n**4 - 4/5*n**3 + b + 2/5*n = 0. What is n?
-1, 0, 1
Let i(o) be the third derivative of o**9/5040 - o**8/1792 + o**7/3360 - o**4/8 - 2*o**2. Let j(b) be the second derivative of i(b). Factor j(x).
3*x**2*(x - 1)*(4*x - 1)/4
Let t = -547/6 + 189/2. Let o = t + -3. Solve o*h**3 - 1/3*h**2 + 0*h + 0 = 0.
0, 1
Let j(m) be the first derivative of 0*m**3 - 1/2*m**4 + m + 4*m**2 + 1/10*m**5 + 1. Let u(y) be the first derivative of j(y). Factor u(h).
2*(h - 2)**2*(h + 1)
Suppose 33/4*t**2 + 363/4*t + 1331/4 + 1/4*t**3 = 0. What is t?
-11
Let j(n) be the third derivative of -11*n**5/60 - n**4/3 + n**3/2 - 2*n**2. Let g(p) = -10*p**2 - 8*p + 2. Let d(m) = 5*g(m) - 4*j(m). Factor d(c).
-2*(c + 1)*(3*c + 1)
Let b(r) be the first derivative of r**5/4 + 75*r**4/16 + 105*r**3/4 + 245*r**2/8 + 38. Factor b(x).
5*x*(x + 1)*(x + 7)**2/4
Let g be -2*(4 - 1 - 4). Let t = -842/5 + 169. Factor 1/5*h**3 - 4/5 + 0*h + t*h**g.
(h - 1)*(h + 2)**2/5
Let s(t) = 3*t**4 + 12*t**3 + 12*t**2 + 6*t - 3. Suppose 0 = p - 2*y + 3, 4*y - 15 = -2*p + p. Let v(g) = g**2 + 1. Let h(n) = p*v(n) + s(n). Factor h(r).
3*r*(r + 1)**2*(r + 2)
Let m(j) be the third derivative of j**5/390 - 4*j**3/39 + 12*j**2. Solve m(n) = 0.
-2, 2
Let r(j) be the first derivative of -2*j**3/3 - j**2 + 27. Factor r(t).
-2*t*(t + 1)
Let t(z) = -2*z**2 - 9*z + 8. Let v be t(-5). Let o be (-1)/4 + 13/4. Factor o - 7 + s**2 + v.
(s - 1)*(s + 1)
Let h(k) be the first derivative of -2*k**3/21 - k**2/7 + 4*k/7 - 2. Let h(d) = 0. What is d?
-2, 1
Suppose -1 - 11*i**2 + 4*i**3 + 2*i**4 - 11*i + 5*i**2 + 9 + 3*i = 0. What is i?
-2, 1
Suppose 3*w - 12 = -w. Factor 0 + 0 + k**4 - w*k**2 + 2*k.
k*(k - 1)**2*(k + 2)
Let d(h) = 3*h**2 + h. Let k(a) = -a**2. Let b be ((-24)/(-3))/4 - 3. Let p(r) = b*d(r) - 4*k(r). Factor p(q).
q*(q - 1)
Suppose -2*j = -2*l, -5*j = 5*l - 2*l - 16. Suppose d + j*d = 0. What is b in -1/3*b**5 + 1/3*b**2 + b**4 + 0 + d*b - b**3 = 0?
0, 1
Let r(p) be the second derivative of p**7/10080 - p**5/480 - p**4/6 + p. Let f(o) be the third derivative of r(o). Factor f(t).
(t - 1)*(t + 1)/4
Let t(i) be the second derivative of 3/10*i**5 - 1/3*i**4 + 1/6*i**3 - 2/15*i**6 + 0*i**2 + 1/42*i**7 + 5*i + 0. Factor t(r).
r*(r - 1)**4
Let n(u) be the second derivative of u**6/120 - u**4/48 + 36*u. Factor n(z).
z**2*(z - 1)*(z + 1)/4
Suppose -45 - 21 = 5*v + 3*g, -28 = 3*v - 4*g. Let l(m) = m**3 + 13*m**2 + 11*m - 8. Let s be l(v). Factor -12*n**2 - 16*n - 4*n**3 - 8 - 1/2*n**s.
-(n + 2)**4/2
Determine z so that 4*z - 2*z**2 + 0 + 1/4*z**3 = 0.
0, 4
Let j(p) be the third derivative of p**6/600 - p**4/40 - p**3/15 - 14*p**2. Let j(s) = 0. Calculate s.
-1, 2
Find q, given that 2/3*q - 2/3 - 1/6*q**2 = 0.
2
Suppose -8/11*p + 2/11*p**4 - 8/11 + 6/11*p**2 + 8/11*p**3 = 0. Calculate p.
-2, -1, 1
Let r(n) = -n**3 - n - 1. Let l(y) = -28*y**3 - 16*y**2 - 40*y - 24. Let q(s) = -l(s) + 24*r(s). Factor q(d).
4*d*(d + 2)**2
Suppose n = -3*m + 2, -2*m - n + 2 = -m. Let v(s) be the third derivative of 2*s**2 - 1/9*s**3 + 0*s + m - 1/45*s**5 + 1/360*s**6 + 5/72*s**4. Factor v(i).
(i - 2)*(i - 1)**2/3
Let n be 1*-1*(27/(-6) + 4). Factor -1/6*m**4 + n*m**3 - 1/2*m**2 + 0 + 1/6*m.
-m*(m - 1)**3/6
Let d = 97/42 + -5/84. Determine i, given that -9/4*i**5 + 1/2*i**4 - 1/2*i**2 + 0 + d*i**3 + 0*i = 0.
-1, 0, 2/9, 1
Let m(v) be the first derivative of -v**4/2 - 8*v**3/3 - 4*v**2 - 14. Factor m(h).
-2*h*(h + 2)**2
Let p(m) be the second derivative of -m**5/60 + m**3/6 - m**2/3 + 7*m. Find n such that p(n) = 0.
-2, 1
Let k(x) be the third derivative of -x**5/180 + x**4/36 - x**3/18 + 12*x**2. Factor k(n).
-(n - 1)**2/3
Let c be -5*1*(-4)/70. Let o = c + 22/21. Find n, given that o*n**2 - 2/3*n**5 - 2/3 - 2/3*n**4 - 2/3*n + 4/3*n**3 = 0.
-1, 1
Let q(k) be the first derivative of -63*k**5/5 - 75*k**4/2 - 33*k**3 + 12*k - 1. Solve q(s) = 0 for s.
-1, -2/3, 2/7
Let q be ((-12)/(-8))/((-12)/(-40)). Let w(s) be the first derivative of -1/14*s**4 - 1 + 0*s + 2/21*s**3 - 2/35*s**q + 1/7*s**2. What is y in w(y) = 0?
-1, 0, 1
Let b = -13 - -40/3. Factor -1/3*j**4 + 1/3*j**3 + 0*j + 0 - 1/3*j**5 + b*j**2.
-j**2*(j - 1)*(j + 1)**2/3
Solve 4/11*n**4 + 4/11*n - 1/11*n**3 - 1/11*n**5 - 10/11*n**2 + 8/11 = 0.
-1, 2
Let c = -5 - -37/7. Find l such that -c*l + 2/7*l**3 + 2/7 - 2/7*l**2 = 0.
-1, 1
Let a be ((-16)/24)/(1 + 22/(-18)). Let -2/5*m**4 - 6/5*m**2 + 6/5*m**a + 0 + 2/5*m = 0. Calculate m.
0, 1
Factor 10/3 - 7/3*k + 1/3*k**2.
(k - 5)*(k - 2)/3
Let o be 15/(-6) + -1 - -1*4. Let 1/4*y + 1/4*y**2 - o = 0. Calculate y.
-2, 1
Let l(i) = i**3 + 4*i**2 - 2*i - 3. Let h be l(-4). Factor f**h + f**4 + 4 - 4.
f**4*(f + 1)
Let p(r) be the third derivative of -3*r**6/260 - 7*r**5/130 - 4*r**4/39 - 4*r**3/39 + 8*r**2. Determine i so that p(i) = 0.
-1, -2/3
Let 16*f**5 - 344*f**2 + 176*f - 39*f**4 - 32 - 32*f**4 + 30*f**4 - 71*f**4 + 292*f**3 = 0. What is f?
1/2, 2
Solve 5*a - 6*a**2 + 12*a**2 - 3 + 3*a**5 - 3*a**4 - 6*a**3 - 2*a = 0 for a.
-1, 1
Let y(s) b