 + -27. Let u be (1 - (0 - p))*-40. Factor u - 7*z**2 - 17*z - 32*z + 9*z + 12*z**2.
5*(z - 4)**2
Solve 867 - 17*s + 6*s**2 + 118*s - 3*s**2 + s = 0.
-17
Let m be (20/(-15))/(2/(-3)). Suppose -m*f + 2*f = f. Determine w, given that -1/2*w**2 + f - 1/2*w = 0.
-1, 0
Let d(z) be the second derivative of -z**6/1620 + z**5/108 - z**4/18 - 13*z**3/6 + 21*z. Let k(g) be the second derivative of d(g). Solve k(c) = 0.
2, 3
Suppose -33*t - 89*t + 282 - 38 = 0. Factor -32/5*y - 4/5*y**4 + 4*y**3 - 8/5*y**t + 0.
-4*y*(y - 4)*(y - 2)*(y + 1)/5
Let s(a) = -a**4 + 3*a**2 - 26*a + 18. Let b(i) = 3*i**4 - i**3 - 9*i**2 + 77*i - 53. Let w(o) = -6*b(o) - 17*s(o). Factor w(v).
-(v - 6)*(v - 1)**2*(v + 2)
Let p(l) be the third derivative of -7/30*l**6 - 11/21*l**7 + 0*l - 25/168*l**8 - 22*l**2 + 3*l**3 + 13/4*l**4 + 23/15*l**5 + 0. Let p(i) = 0. Calculate i.
-1, -3/5, 1
Let w(x) be the third derivative of 0*x + 4/35*x**7 + 1/8*x**6 + 0*x**4 + 0 + 0*x**3 - 17*x**2 + 1/20*x**5 + 1/28*x**8. Factor w(m).
3*m**2*(m + 1)*(2*m + 1)**2
Let d = -32 + 52. Suppose -3 + 40*c - 30*c**3 - 4 - 10*c**5 - d*c**2 - 8 + 35*c**4 = 0. Calculate c.
-1, 1, 3/2
Let u be (-1)/(-5) - (-98)/35. Factor 3*r**4 + r**4 + r**3 - 13*r + 11*r**u - 3*r.
4*r*(r - 1)*(r + 2)**2
Let s(m) be the third derivative of -m**6/420 + 2*m**5/105 - 26*m**2 + m. Factor s(l).
-2*l**2*(l - 4)/7
Let k(b) be the second derivative of 0 - 16*b + 2/5*b**4 + 8/25*b**5 + 1/5*b**3 + 1/20*b**2. Suppose k(q) = 0. Calculate q.
-1/4
Let k(n) be the second derivative of -n**4/6 - 2*n**3/3 - n**2 + 68*n. Factor k(b).
-2*(b + 1)**2
Let w(r) be the third derivative of 2*r**7/105 + 4*r**6/15 + 7*r**5/5 + 3*r**4 - 203*r**2. Find a such that w(a) = 0.
-3, -2, 0
Let u = 13263 - 13261. Let 4/11*h + 0 - 2/11*h**u = 0. What is h?
0, 2
Let m(c) be the first derivative of c**6/360 - c**4/24 - 14*c**3/3 + 6. Let s(w) be the third derivative of m(w). Factor s(i).
(i - 1)*(i + 1)
Suppose t - 6 = -3*s, 37*s = 36*s. Let m(p) be the second derivative of 0*p**4 - 1/28*p**7 + 0*p**2 - 3/80*p**5 - 3/40*p**t + 0*p**3 + p + 0. Factor m(d).
-3*d**3*(d + 1)*(2*d + 1)/4
Factor 1/9*h**3 + 5/9*h**2 - 14/9*h + 0.
h*(h - 2)*(h + 7)/9
Let q(x) = 4*x**3 + x**2 + x + 1. Let k(w) = -33*w**3 + 186*w**2 + 129*w - 72. Let s(c) = -k(c) - 6*q(c). What is y in s(y) = 0?
-1, 1/3, 22
Let q(u) be the second derivative of -u**5/30 - 5*u**4/9 - 17*u**3/9 - 8*u**2/3 - 612*u. What is g in q(g) = 0?
-8, -1
Suppose -2*j - 29 = -9. Let i = j - -14. Factor -m**2 - i*m**2 + 2*m**2.
-3*m**2
Let b(v) be the third derivative of 0*v**3 + 0*v + 0 + 0*v**4 + 1/315*v**7 + 0*v**5 - 1/360*v**6 - 46*v**2 - 1/1008*v**8. Solve b(h) = 0.
0, 1
Let 126/5*h + 0 + 3/5*h**3 - 69/5*h**2 = 0. What is h?
0, 2, 21
Let q(w) be the third derivative of 10*w**2 + 0 + 1/360*w**6 + 0*w + 0*w**3 + 0*w**4 - 1/1260*w**7 - 1/360*w**5. Suppose q(j) = 0. What is j?
0, 1
Let i(t) = 55*t**2 - 69*t + 6. Let x(f) = -110*f**2 + 139*f - 11. Let p = 29 + -25. Let j(d) = p*x(d) + 9*i(d). Determine y, given that j(y) = 0.
2/11, 1
Let z(w) be the first derivative of w**6/48 - 7*w**5/40 - w**4/32 + 7*w**3/24 + 221. Suppose z(g) = 0. Calculate g.
-1, 0, 1, 7
Find d such that -3*d**2 - d - 13*d**2 + 2 - 5*d**5 - 11*d**3 - 6 + 17*d + 3*d**2 + 17*d**4 = 0.
-1, 2/5, 1, 2
Find w such that 55*w**2 - 4*w**3 + 3222*w + 33*w**2 - 4*w**4 - 3062*w = 0.
-4, -2, 0, 5
Let m(a) = -4*a**2 - 2*a + 168. Let v(x) = 12*x**2 + 9*x - 504. Let i(y) = -7*m(y) - 2*v(y). Factor i(j).
4*(j - 7)*(j + 6)
Let h = -21/520 - -93/130. Let n(g) be the second derivative of -h*g**5 - g**3 + 5*g + 0 + 3/2*g**4 + 0*g**2. Factor n(b).
-3*b*(3*b - 2)**2/2
Let n = 30384/5 - 6076. Let -n*t**2 - 64/5 + 32/5*t = 0. What is t?
4
Factor -6/11*w**2 + 2/11*w**4 + 10/11*w - 2/11*w**3 - 4/11.
2*(w - 1)**3*(w + 2)/11
Factor 3*r**2 + 776*r - 2*r**2 - 792*r.
r*(r - 16)
Let z(o) be the second derivative of o**5/50 + 7*o**4/60 + o**3/15 - 3*o**2/10 - 8*o - 3. Factor z(f).
(f + 1)*(f + 3)*(2*f - 1)/5
Find u such that -4*u**5 + 0*u + 176/5*u**3 - 112/5*u**2 + 0 + 268/5*u**4 = 0.
-1, 0, 2/5, 14
Factor -4107/5 - 222/5*c - 3/5*c**2.
-3*(c + 37)**2/5
Let g(w) = 2*w**3 - 10*w**2 - 2*w + 5. Let a(q) = -3*q**3 + 9*q**2 + 2*q - 4. Let x(t) = 5*a(t) + 4*g(t). What is z in x(z) = 0?
-2/7, 0, 1
Let y(m) = 9*m**2 - 5*m. Let q(c) be the first derivative of c**3/3 - c**2/2 - 12. Let g(w) = 14*q(w) - 2*y(w). Factor g(p).
-4*p*(p + 1)
Let j = 9 + -1. Suppose 4 + j = 4*b. Let m(y) = 9*y**2 - y - 7. Let r(g) = 10*g**2 - 2*g - 8. Let o(f) = b*r(f) - 4*m(f). Solve o(s) = 0 for s.
-1, 2/3
Suppose 939*u = 937*u - 10. Let s be (-3)/5*(120/32 + u). Let 3/4*b - s*b**3 - 3/4 + 3/4*b**2 = 0. What is b?
-1, 1
Suppose 2*j - n - 120 = 2*n, -240 = -4*j - 2*n. Suppose 4*v - 44 = j. Determine t so that t**5 - 18*t**5 + v*t**4 - 18*t**3 - 2*t**2 + 4*t + 7*t**5 = 0.
-2/5, 0, 1
Let p(c) be the first derivative of c**6/33 - 6*c**5/55 + c**4/11 - 194. Let p(x) = 0. Calculate x.
0, 1, 2
Let l(x) be the second derivative of 0*x**2 + 8/15*x**3 + 0*x**6 + 0*x**4 - 2/25*x**5 - 18*x + 1/210*x**7 + 0. Factor l(h).
h*(h - 2)**2*(h + 2)**2/5
Let x be (3770/(-325) + 12/1)/((-2)/(-4)). Factor -x*q**2 - 4/5*q + 0.
-4*q*(q + 1)/5
Let v(h) = 48*h**4 - 20*h**3 - 84*h**2 - 36*h + 20. Let i(t) = 7*t**4 - 3*t**3 - 12*t**2 - 5*t + 3. Let f(s) = 20*i(s) - 3*v(s). Suppose f(m) = 0. Calculate m.
-1, 0, 2
Let y(z) be the third derivative of z**8/336 - z**7/210 - z**6/30 + z**5/15 - 8*z**2 + z. Solve y(f) = 0.
-2, 0, 1, 2
Let t(x) be the first derivative of -x**6/6 + 6*x**5/5 - 11*x**4/4 + 2*x**3 + 142. Factor t(g).
-g**2*(g - 3)*(g - 2)*(g - 1)
Let y = 170 - 170. Suppose -2*d + 10 = y, -3*l + 3*d - 2 - 7 = 0. Solve 0 - 1/4*o**l + 1/4*o = 0.
0, 1
Suppose 0 = -27*l - 132*l + 42*l + 234. Determine i so that 6/11 + 2/11*i**l - 10/11*i + 2/11*i**3 = 0.
-3, 1
Let l(a) be the third derivative of -6*a**2 + 1/150*a**5 + 0 - 2/15*a**3 + 0*a - 1/60*a**4. Factor l(v).
2*(v - 2)*(v + 1)/5
Let f(j) be the third derivative of j**6/540 - j**5/135 + 7*j**2. Factor f(o).
2*o**2*(o - 2)/9
Let d(f) = -4*f**4 + f**3 + f**2 + f. Let m(y) = 9*y**4 - 30*y**3 - 81*y**2 - 75*y. Let p(r) = 3*d(r) + m(r). Find c, given that p(c) = 0.
-4, -3, -2, 0
Suppose -3*v + 0*n + 216 = -n, -288 = -4*v + 5*n. Let z be (0 - (-4)/66)/(12/v). Find m, given that -4/11*m + z*m**3 + 2/11 - 2/11*m**4 + 0*m**2 = 0.
-1, 1
Solve -11*f**3 - f**4 + f + 8*f**3 + 7*f**2 + 6*f**3 - 4*f**3 - 4 - 2 = 0.
-3, -1, 1, 2
Suppose 10*r - 12 = 7*r. Factor 12*k**r - 7*k**4 + 5 + 0 - 10*k**2.
5*(k - 1)**2*(k + 1)**2
Let f(b) = -b**2 - b + 1. Let a(h) = 147*h**3 + 11*h**2 - 47*h + 11. Suppose 15*v - 10*v + 5 = 0. Let x(o) = v*a(o) + 3*f(o). What is z in x(z) = 0?
-2/3, 2/7
Let z = 1877/55 - 305/11. Factor -14/5*s - 2/5 - 16/5*s**2 + z*s**3.
2*(s - 1)*(4*s + 1)**2/5
Let f(t) be the third derivative of t**7/840 + 13*t**6/480 + 23*t**5/240 + 11*t**4/96 + 6*t**2 + 2*t. Solve f(p) = 0.
-11, -1, 0
Let w = 191/6 - 127/4. Let c(k) be the first derivative of w*k**3 + 0*k - 1/8*k**2 + 8. Factor c(i).
i*(i - 1)/4
Suppose 2*g - 2/17*g**2 - 120/17 = 0. Calculate g.
5, 12
Let 73 + y + 17*y**3 - 75 - 57*y**2 + 18*y + y**3 - 16*y**4 + 38*y**3 = 0. What is y?
1/4, 1, 2
Suppose 370 - 360 = -5*g - 5*d, 2*g + 9 = -3*d. Solve 9/2 + 1/2*f**2 + g*f = 0 for f.
-3
Let s(i) be the third derivative of i**7/280 + i**6/96 - i**5/80 - 3*i**4/32 - i**3/6 - 9*i**2. Factor s(p).
(p + 1)**3*(3*p - 4)/4
Factor -1/4*u**2 + 0 - 1/2*u.
-u*(u + 2)/4
Suppose 17 = 6*o + 5. Let v be (2 - 1)*(4 + -1). Factor -v*k**3 - 3*k + o*k + 3*k - 2*k**2 + k**3 + 2*k**4.
2*k*(k - 1)**2*(k + 1)
Let f(i) be the third derivative of i**6/120 + i**4/24 - 2*i**2. Let o(w) = 4*w**2 + 4*w + 2. Let v = 138 - 140. Let t(b) = v*f(b) - 2*o(b). Factor t(z).
-2*(z + 1)**2*(z + 2)
Let h(c) be the first derivative of 2*c**5/75 - 17*c**4/30 + 22*c**3/5 - 81*c**2/5 + 144*c/5 + 57. Find p, given that h(p) = 0.
3, 8
Let v(g) = -20*g**3 - 24*g**2 - 6*g - 2. Let k(u) = -u**3 + u - 1. Let t be 5*(-4)/(-90)*9. Let h(w) = t*k(w) - v(w). Factor h(f).
2*f*(3*f + 2)**2
Let o = 136 - 116. Determine p, given that -o - 15*p**2 + 10*p**2 - p**2 + 11*p**2 = 0.
-2, 2
Suppose -p - 2*p = 48. Let u = 31 + p. Let 36*n**3 - u*n + 7*n + 72*n**2 - 8*n - 32 = 0. Calculate n.
-2, -2/3, 2/3
Let v =