of p**5/120 - p**4/9 + 7*p**3/36 + 6*p + 2. Factor z(j).
j*(j - 7)*(j - 1)/6
Suppose 0 = -4*d + 70 + 38. Suppose 10*m = m + d. Factor 0*b + 3/8*b**2 - 1/8*b**m - 1/2.
-(b - 2)**2*(b + 1)/8
Let a = -42930 - -214674/5. Factor -a - 16/5*s - 2/5*s**2.
-2*(s + 2)*(s + 6)/5
Suppose 19 = 4*i - 9. Let u = 5 - 2. Factor -12*k**u + i*k**4 - 3*k**4 + 12*k**2 - 4*k**2.
4*k**2*(k - 2)*(k - 1)
Let g(t) = -835*t - 1667. Let k be g(-2). Factor -3/4*h**2 + 1/4*h**5 + 7/4*h**k + 0 - 5/4*h**4 + 0*h.
h**2*(h - 3)*(h - 1)**2/4
What is k in -490*k + 1899 - 3864 + 5*k**2 + 13970 = 0?
49
Suppose 4 = 3*t + 1. Suppose 17 = 4*z - 3*s, 2*s - t = -5*z - s. Factor 4*a**z + 4*a - 4*a + a - 2*a.
a*(4*a - 1)
Let q(w) be the first derivative of w**4/32 - 31*w**3/24 + 14*w**2 + 32*w + 556. Factor q(j).
(j - 16)**2*(j + 1)/8
Suppose l - x = 22, -3*l + 50 = 5*x - 4*x. Suppose 3*m = 5*o + 44, -4*m + l - 6 = 5*o. Suppose -10*z**2 - 3*z - z + 3*z + m*z**2 - z**3 = 0. Calculate z.
-1, 0
Suppose -u = -4*z + 11283, 4*z - 14959 = -5*u - 3646. Let t = -14066/5 + z. Let 0 - 12/5*n**5 + 16/5*n**2 + 0*n + t*n**4 - 48/5*n**3 = 0. What is n?
0, 2/3, 1, 2
Factor 45*w - 47*w**2 + 23*w**2 - 18*w**2 - 3*w**3.
-3*w*(w - 1)*(w + 15)
Let h = 1371 + -1371. Factor h*c - 2/15*c**3 + 0 - 2/5*c**4 - 4/15*c**5 + 0*c**2.
-2*c**3*(c + 1)*(2*c + 1)/15
Suppose -4*j - 3*k - 254 = 0, k - 11 = 4*j + 235. Let s = j - -65. Factor s + 1/3*q**2 - 2*q.
(q - 3)**2/3
Suppose 19*n**3 - 5*n**5 - 6*n - 8*n**5 + 12*n**5 + n**2 - n**4 - 12*n**3 = 0. Calculate n.
-3, -1, 0, 1, 2
Let o(u) = 41*u**3 + 92*u**2 + 20*u + 4. Let g(z) = -204*z**3 - 459*z**2 - 102*z - 21. Let a(r) = 4*g(r) + 21*o(r). Suppose a(l) = 0. What is l?
-2, -2/15, 0
Let a(j) be the first derivative of 2*j**3/39 + 35*j**2/13 - 364. Find w, given that a(w) = 0.
-35, 0
Solve 14/11*d**2 + 12/11*d + 2/11*d**3 + 0 = 0 for d.
-6, -1, 0
Factor 0 + 2/11*w**5 + 0*w + 0*w**2 - 2/11*w**4 + 0*w**3.
2*w**4*(w - 1)/11
Let 2/5*j**4 - 8/5 - 16/5*j - 6/5*j**2 + 4/5*j**3 = 0. Calculate j.
-2, -1, 2
Let j(r) be the second derivative of -r**7/56 + 3*r**5/80 - 65*r. Factor j(a).
-3*a**3*(a - 1)*(a + 1)/4
Let a(n) be the third derivative of -n**7/42 + 7*n**6/12 - 23*n**5/4 + 175*n**4/6 - 250*n**3/3 - 603*n**2. Factor a(p).
-5*(p - 5)**2*(p - 2)**2
Suppose -2183*k - 3*b = -2180*k - 12, -5*b = 3*k - 20. Factor 0 + 0*r + 1/4*r**3 + k*r**2.
r**3/4
Suppose -99/5*y**3 + 1/5*y**5 + 0 - 31/5*y**4 - 34/5*y - 101/5*y**2 = 0. Calculate y.
-1, 0, 34
Suppose -j = -2*l + 4*j + 1, 0 = 2*j + 6. Let a(s) = s**3 + 8*s**2 + 8*s + 9. Let u be a(l). Find h, given that 2*h**2 - u*h**3 - 4*h**3 + h**3 + 4*h**3 = 0.
0, 2
Let 288/13*h**2 + 2/13 + 48/13*h = 0. What is h?
-1/12
Let x(r) = 3*r - 9*r - 5 - 5 + 5*r. Let f be x(-11). Let -f + 5/3*m - 2/3*m**2 = 0. Calculate m.
1, 3/2
Suppose -5*i + 16 - 6 = 0. Suppose -i*s + 3 = -s. Suppose -2*r**5 - 4*r**3 + 4*r + 0*r**5 + 2*r**4 + 10*r**s - 10*r**2 = 0. What is r?
-2, 0, 1
Let c(f) = -3*f**4 - 5*f**3 - 4*f**2 + 8*f - 4. Let n(b) = 24*b**4 + 39*b**3 + 33*b**2 - 63*b + 33. Let y(k) = 33*c(k) + 4*n(k). Factor y(x).
-3*x*(x - 1)*(x + 2)**2
Suppose 735/4 - 3/4*i**4 - 399/2*i + 15/2*i**3 + 9*i**2 = 0. What is i?
-5, 1, 7
Find p, given that 4 - 70/3*p + 92/3*p**2 + 14*p**3 - 12*p**4 = 0.
-3/2, 1/3, 2
Let g(d) be the first derivative of 2*d**3/69 - 11*d**2/23 - 52*d/23 - 157. Factor g(h).
2*(h - 13)*(h + 2)/23
Let x(g) be the second derivative of -g**5/70 + 18*g**4/7 - 1296*g**3/7 + 46656*g**2/7 - g - 8. Determine o so that x(o) = 0.
36
Let u = 248 + -740/3. Let a(g) be the first derivative of 2/9*g**3 - 6 + u*g**2 + 8/3*g. Suppose a(o) = 0. Calculate o.
-2
Suppose 5*j - 40 = 4*o, 10*j - 5*j + 5 = -5*o. Factor -27*t**2 + j*t - 1 - 4 + 15*t**2 + 13*t**2.
(t - 1)*(t + 5)
Let q be (-1 + 0)*(3 - 2). Let h(t) = -2*t. Let u be h(q). Solve 1/3*f**u + 2/3 + f = 0.
-2, -1
Let g(q) = -2*q + 21. Let v be g(11). Let k be (-1 - -2 - -1) + (v - -2). Solve 3/4 - 9/4*w**2 - 3/2*w**k + 0*w = 0 for w.
-1, 1/2
Let s(u) = -4*u**2 + 436*u - 432. Let v be s(108). Solve -10*t + v + 10*t**2 + 5/2*t**3 - 5/2*t**4 = 0.
-2, 0, 1, 2
Let x(d) be the first derivative of 2*d**5/5 + 3*d**4 + 6*d**3 - 87. What is a in x(a) = 0?
-3, 0
Suppose -5*g = 7 - 37. Let h be (4/18 - (-10)/(-45)) + 3. Factor -h + 8*t**3 + 3 + 4*t**4 - g + 2 - 8*t.
4*(t - 1)*(t + 1)**3
Let q(c) = -c**3 + c**2 - c. Let b(s) = -11*s + 18*s**2 + 17 - 1 - 6 - 10*s**3 - 19*s. Let k(y) = b(y) - 12*q(y). Determine x, given that k(x) = 0.
-5, 1
Let j(f) = -12*f**2 - 4*f**3 + 8*f**3 + 4*f**2. Let b(u) = -4*u + 4*u - 3567*u**4 + 3566*u**4 - 3*u**3 + 9*u**2. Let p(s) = -4*b(s) - 5*j(s). Solve p(k) = 0.
0, 1
Suppose -2*q + 2*t + 1 = -7, -3*q = 3*t. Let z(p) be the third derivative of -1/9*p**4 + 4*p**q + 0 + 1/18*p**3 + 4/45*p**5 + 0*p. Solve z(d) = 0.
1/4
Let y(i) be the first derivative of -8/27*i**3 + 18 + 1/3*i**4 - 4/45*i**5 + 0*i + 0*i**2. Factor y(c).
-4*c**2*(c - 2)*(c - 1)/9
Factor 27*j**4 + 6*j**5 + j**3 - 17*j**4 - 15*j**3 - 8*j**5 + 6*j**2.
-2*j**2*(j - 3)*(j - 1)**2
Suppose k - 4 = -k. Let d be 56/21 + (1 - 3). Factor -d*l + 2/3*l**k + 0.
2*l*(l - 1)/3
Let h(x) be the first derivative of 302/85*x**5 + 32/17*x + 6 + 35/51*x**6 - 64/51*x**3 - 64/17*x**2 + 82/17*x**4. Let h(p) = 0. What is p?
-2, -1, 2/7, 2/5
Let r(b) be the first derivative of -b**5/100 + 3*b**4/10 - 18*b**3/5 - b**2 + 19. Let l(g) be the second derivative of r(g). Solve l(o) = 0.
6
Let l(b) be the second derivative of b**6/6 - 5*b**5/4 - 5*b**4/3 + 50*b**3/3 + 5*b. Solve l(i) = 0 for i.
-2, 0, 2, 5
Let a(g) = -5*g**4 + 56*g**3 + 387*g**2 + 797*g + 574. Let y(l) = 4*l**4 - 56*l**3 - 386*l**2 - 798*l - 564. Let d(u) = -2*a(u) - 3*y(u). Factor d(t).
-2*(t - 34)*(t + 2)**3
Let m = 246 - -697. Let k = m + -2765/3. Determine l, given that 112*l**3 - k*l**2 - 64/3 - 36*l**4 - 320/3*l = 0.
-2/3, -2/9, 2
Let g be -2 - (3 - 44/4). Factor -g + 0 - k + 4*k + 24*k**2 + 15*k**3.
3*(k + 1)**2*(5*k - 2)
Let f(w) be the third derivative of w**5/60 - w**4/24 + 9*w**2. Let h be f(2). Factor 2/5*p + 2/5*p**h + 0.
2*p*(p + 1)/5
Suppose -196 = -i - 194. Let v be (-24)/21 + i/6*6. Factor v*c + 2/7*c**3 - 6/7*c**2 - 2/7.
2*(c - 1)**3/7
Let n(y) = 4*y**2 - 33*y - 25. Let p be n(9). Suppose 33/5*h - 12/5*h**p + 9/5 = 0. What is h?
-1/4, 3
Let c(q) be the third derivative of -7*q**5/45 - 5*q**4/9 + 16*q**3/9 - 2*q**2. Factor c(o).
-4*(o + 2)*(7*o - 4)/3
Let b(q) = 5*q**5 + 2*q**4 - 10*q**3 + 8*q**2 + 17*q + 2. Let k(f) = -f**5 - f**4 + f**3 - f**2 - f + 1. Let g(a) = 5*b(a) + 20*k(a). Factor g(t).
5*(t - 3)*(t - 2)*(t + 1)**3
Suppose 2*x = -32*x + 68. Let l(q) be the first derivative of -1/3*q**3 + 3/5*q**5 + 0*q - 4 + q**4 - q**x. Let l(p) = 0. Calculate p.
-1, 0, 2/3
Let q(x) = 14*x**3 - 20*x**2 - 18*x. Let f(m) = 10 - 26*m + 15*m**3 + 7*m - 10 - 20*m**2. Let t(o) = 6*f(o) - 7*q(o). Factor t(g).
-4*g*(g - 3)*(2*g + 1)
Let u(q) be the third derivative of q**7/5040 - q**6/720 - 2*q**3 + 13*q**2. Let k(d) be the first derivative of u(d). Factor k(g).
g**2*(g - 3)/6
Let u(n) be the third derivative of n**7/420 - 8*n**6/45 + 23*n**5/40 - 41*n**4/72 + 4*n**2 + 52*n. Factor u(d).
d*(d - 41)*(d - 1)*(3*d - 2)/6
Let f be 52/(-169) - 28/(-91). Factor 6*p**2 - 3/2*p**3 + f - 6*p.
-3*p*(p - 2)**2/2
Let i(n) be the first derivative of -n**8/840 + n**7/105 - n**6/45 + 10*n**3/3 + 12. Let a(d) be the third derivative of i(d). Suppose a(s) = 0. Calculate s.
0, 2
Let u = 58383/2 + -29191. Factor 2*x - u*x**3 - 5*x**2 + 4 + 2*x**4 - 1/2*x**5.
-(x - 2)**3*(x + 1)**2/2
Suppose -16*a + 22*a - 30 = -4*l, -9 = -3*l. Factor 0*z - 1/3*z**a + 0 - 1/3*z**2.
-z**2*(z + 1)/3
Let m(p) = -2*p**2 + 7*p. Let x be m(3). Factor 1 + x - 7*z + 4*z - 2 + z**2.
(z - 2)*(z - 1)
Let o(y) = -2*y - 24*y**3 + 25*y**3 - 4*y + 12 - 3*y**2 - 2. Let z be o(4). Determine t so that -2 - 12*t - 2 + 15*t**4 + 20*t**z + 12*t**3 - 31*t**4 = 0.
-1, -1/4, 1
Let y = 1618 - 51783/32. Let d = y - -155/416. Suppose d - 4/13*z + 2/13*z**2 = 0. Calculate z.
1
Let v(x) be the first derivative of x**4/28 + x**3 + 39*x**2/14 + 19*x/7 - 178. Factor v(d).
(d + 1)**2*(d + 19)/7
Suppose 5*v + 66 = -34. Let y = v + 22. Factor 4*m**3 + m**5 - 7*m + 2*m**4 - 3 - 3*m**y - 5*m**2 - 6*m**3 + 1.
(m - 2)*(m + 1)**4
Let l be (-192)/112*(-6 + -183). Factor 