= -5*j**5 - 20*j**4 - 7*j**3 + 8. Let w(u) = 5*p(u) - 8*q(u). Factor w(r).
-r**3*(r - 5)*(r + 1)
Let k(m) be the second derivative of 1/36*m**4 + 1/3*m**3 + m + 4/3*m**2 + 0. Factor k(b).
(b + 2)*(b + 4)/3
Factor 56/5 - 254/5*c - 7/5*c**3 + 41*c**2.
-(c - 28)*(c - 1)*(7*c - 2)/5
Let d be (12 - 9) + 2/4*0. Let o be ((-69)/(-75) + -1)*-5. Find i such that -6/5*i**2 - 2/5 - o*i**d - 6/5*i = 0.
-1
Let y(g) be the second derivative of g**5/10 - g**4/2 + 2*g**3/3 + 3*g - 8. Let y(b) = 0. Calculate b.
0, 1, 2
Let s(f) be the first derivative of 2/21*f**3 + 20/7*f - f**2 + 34. Factor s(q).
2*(q - 5)*(q - 2)/7
Let l = 1777/21 + -253/3. Let g be 1/4 - 57/(-12). Suppose 8/7*d**2 + 0 + 8/7*d**4 - l*d - 12/7*d**3 - 2/7*d**g = 0. Calculate d.
0, 1
Let z(f) be the second derivative of -f**7/210 - f**6/25 - f**5/25 + f**4/10 + f**3/6 + 24*f - 2. What is j in z(j) = 0?
-5, -1, 0, 1
Suppose 0 = 2*z - t - 7, -z + t = 4*z - 16. Factor -4*w**4 - 784*w + 8*w**4 - 101*w**z + 896*w**2 - 15*w**3.
4*w*(w - 14)**2*(w - 1)
Suppose -6*v = 3*h - 4*v + 6, 3*v + 9 = -4*h. Let j(r) be the first derivative of -8/15*r**5 + 1/9*r**6 + r**4 - 8/9*r**3 + 1/3*r**2 + 8 + h*r. Factor j(s).
2*s*(s - 1)**4/3
Let y(s) be the second derivative of s**9/105840 + s**8/47040 - s**7/8820 - 31*s**4/12 - 21*s. Let d(w) be the third derivative of y(w). Factor d(n).
n**2*(n - 1)*(n + 2)/7
Let o(n) = -2*n - 23. Let i be o(-14). Factor -7*b**5 - 4*b**4 - i*b**2 + 9*b**5 + 4*b**2 + 5*b**2 - 2*b.
2*b*(b - 1)**3*(b + 1)
Let y(o) = o**3 - 11*o**2 - 16*o + 53. Let c be y(12). Let m be c/((-50)/3) + (-6)/(-12). Factor -1/5*d - m*d**2 + 2/5.
-(d - 1)*(d + 2)/5
Let p = -206/5 + 437/10. Let 0*y + 0 + 5/2*y**3 - p*y**2 = 0. Calculate y.
0, 1
Let t(p) = p + 12. Let d be t(-10). Let z(o) = -11*o + 26. Let a be z(2). Factor 3/7*j**a + 0*j**d + 3/7*j**3 + 0*j + 0.
3*j**3*(j + 1)/7
Factor 1/4*v**3 + 5043/4*v + 123/4*v**2 + 68921/4.
(v + 41)**3/4
Let u = 167 + -167. Let t(d) be the first derivative of 0*d**5 + 4 - 2/15*d**6 + u*d**3 + 0*d + 0*d**2 + 0*d**4. Find f such that t(f) = 0.
0
Let t(i) = i**3 - 6*i**2 - i + 10. Let c be t(6). Factor 18*d**c + 5*d**3 + 0*d**5 + 5*d**5 - 8*d**4.
5*d**3*(d + 1)**2
Let h(r) be the second derivative of -r**5/40 + 3*r**4/8 - 2*r**3/3 - 70*r + 1. Solve h(v) = 0 for v.
0, 1, 8
Let v = -1570 + 10994/7. Factor 0 - 2/7*z**3 - v*z**2 - 2/7*z.
-2*z*(z + 1)**2/7
Suppose -25 = -14*s + 3. Factor -4*g**5 + 6*g**5 - 35*g**4 + 40*g - 140*g**2 + 3*g**5 + 90*g**3 + 40*g**s.
5*g*(g - 2)**3*(g - 1)
Let u(d) be the third derivative of -5/48*d**4 + 0 + 0*d**3 + 1/96*d**6 + 0*d - 17*d**2 + 1/48*d**5. What is a in u(a) = 0?
-2, 0, 1
Let r(l) = -17*l**3 + 3217*l**2 - 343477*l + 12250416. Let t(g) = 9*g**3 - 1609*g**2 + 171739*g - 6125207. Let d(x) = -4*r(x) - 7*t(x). Solve d(q) = 0.
107
Factor 2/5*k**2 - 24/5 + 22/5*k.
2*(k - 1)*(k + 12)/5
Let y(n) = -n**2 + 15*n - 13. Let f be y(14). Factor -b + f - 19*b**2 + 18*b**2 + 2*b**3 + 0*b - b.
(b - 1)*(b + 1)*(2*b - 1)
Let o(r) be the third derivative of 0 - 12*r**2 + 0*r + 0*r**3 - 1/40*r**4 - 1/75*r**5 - 1/600*r**6. Factor o(u).
-u*(u + 1)*(u + 3)/5
Let r(o) be the second derivative of o**6/20 + 7*o**5/40 - o**3/3 - 31*o - 4. Factor r(l).
l*(l + 1)*(l + 2)*(3*l - 2)/2
Let l = 12361/75998 + -1/2054. Let h = l + 25/74. Determine m, given that m - 1/2*m**2 + 0 - h*m**3 = 0.
-2, 0, 1
Factor 577*j - 533*j - j**2 - 3*j**2.
-4*j*(j - 11)
Suppose 36*j - 25*j = 44. Let q(p) be the second derivative of 1/15*p**6 + 0*p**3 + 1/6*p**j + 0*p**2 + 0 + 9*p - 1/5*p**5. Factor q(s).
2*s**2*(s - 1)**2
Suppose 9 - 233 - 1215*r**2 - 66 + 13*r**4 - 395*r**3 - 8*r**4 - 1225*r - 120 = 0. Calculate r.
-1, 82
Let p(x) be the second derivative of -3/7*x**2 - 3/14*x**3 + 0 - 1/28*x**4 - 20*x. Let p(l) = 0. What is l?
-2, -1
Let v(c) be the first derivative of 3*c**5/5 - 6*c**4 + 11*c**3 + 12*c**2 - 36*c + 302. Suppose v(n) = 0. What is n?
-1, 1, 2, 6
Find q such that 12/7*q**2 + 0*q + 0 - 2/7*q**3 = 0.
0, 6
Let -3/4*q**2 - 171/4 - 33/2*q = 0. What is q?
-19, -3
Let h(x) be the third derivative of x**4/6 - 8*x**3/3 + 3*x**2. Let v be h(4). Solve v - 4/9*m**2 + 2/9*m = 0 for m.
0, 1/2
Let g = 3187 + -3184. Factor -1/5*y**2 + 1/5*y**g - 2/5*y + 0.
y*(y - 2)*(y + 1)/5
Let c(k) be the third derivative of 0*k**6 - 1/42*k**7 + 5/12*k**4 + 1/4*k**5 + 0*k + 10*k**2 + 0*k**3 + 0. Let c(d) = 0. Calculate d.
-1, 0, 2
Let c(b) be the first derivative of -b**3/9 + 5*b**2/6 + 14*b/3 - 148. Solve c(f) = 0.
-2, 7
Factor 37/4*j**3 - 10*j - 49/2*j**2 + 0 + 11/4*j**4.
j*(j - 2)*(j + 5)*(11*j + 4)/4
Factor 116/5*d - 1/5*d**2 - 3364/5.
-(d - 58)**2/5
Factor 4/3*f**4 - 28/3*f + 28/3*f**3 - 8 + 20/3*f**2.
4*(f - 1)*(f + 1)**2*(f + 6)/3
Let j(d) be the second derivative of d**7/168 + d**6/8 + 149*d. Solve j(y) = 0.
-15, 0
Let d(l) be the first derivative of 42*l**4 - 124*l**3 + 285*l**2/4 + 75*l + 22. Factor d(p).
3*(4*p - 5)**2*(7*p + 2)/2
Find b, given that 16/11 - 50/11*b + 2/11*b**4 + 54/11*b**2 - 2*b**3 = 0.
1, 8
Let s(y) be the third derivative of -4*y**7/1575 + y**6/100 + y**5/450 - y**4/30 - 3*y**2 - 10. Suppose s(u) = 0. Calculate u.
-3/4, 0, 1, 2
Factor -11/4*q - 3 + 1/4*q**2.
(q - 12)*(q + 1)/4
Let w(u) be the first derivative of 0*u + 2*u**3 + 2*u**2 + 4 + 1/2*u**4. Factor w(x).
2*x*(x + 1)*(x + 2)
Suppose -11*l - 36 = -14*l. Let z be l/7 - (-2)/7. Factor -1 + 2*x**2 + 5*x**2 - 3*x**3 - 3 + 4*x - z*x**2.
-(x - 2)*(x + 1)*(3*x - 2)
Suppose 5*b - 4*i - 3 = 0, i + 6 = 3*b - 0*i. Suppose 0 = -a - 5*x, 4*x = 5*a - 0*x. Determine t so that 0 - 1/4*t**4 + a*t**b - 1/2*t + 3/4*t**2 = 0.
-2, 0, 1
Let m(a) = a**5 + a**3 + a**2 - a. Let z(g) = -26*g**4 + 42*g**3 - 26*g**2 - 6*g + 8. Let i(r) = 4*m(r) + z(r). Determine y so that i(y) = 0.
-1/2, 1, 4
Let x(y) be the first derivative of 2*y**4/11 - 34*y**3/33 + 9*y**2/11 + 36*y/11 + 272. Factor x(u).
2*(u - 3)*(u - 2)*(4*u + 3)/11
Let l(g) be the first derivative of 5 + 12*g**2 + 4*g**2 + 2*g**2 - 7*g**3 + 12*g. Let l(p) = 0. What is p?
-2/7, 2
Let i(p) be the second derivative of p**4/24 - 35*p**3/12 - 7*p + 30. Factor i(f).
f*(f - 35)/2
Let v be (1/(-8))/((-67)/2278) - 21/12. Factor 5/2*o**5 + 0*o - 5/2*o**3 + v*o**4 - 5/2*o**2 + 0.
5*o**2*(o - 1)*(o + 1)**2/2
Let f = 20397 - 20325. Factor f*y - 39/2*y**2 - 54 + 3/2*y**3.
3*(y - 6)**2*(y - 1)/2
Let w(f) = -3*f**3 - f**2 + 2*f - 2. Let h(j) = -j**3 - 1. Let v(t) = 6*h(t) - 3*w(t). Factor v(s).
3*s*(s - 1)*(s + 2)
Let d = -30 + 34. Find z, given that 3*z**3 + z**3 - 29*z**4 + 25*z**d = 0.
0, 1
Let q(z) = z**3 + z. Suppose 7*r - 10*r - 3 = 0. Let i(u) = 5*u**4 + 20*u**3 - 5*u**2 + 20*u. Let f(k) = r*i(k) + 20*q(k). Factor f(d).
-5*d**2*(d - 1)*(d + 1)
Let l(j) be the third derivative of -1/540*j**6 + 0*j**5 - 7/6*j**3 + 1/36*j**4 + 0 - 10*j**2 + 0*j. Let d(y) be the first derivative of l(y). Factor d(a).
-2*(a - 1)*(a + 1)/3
Let g(m) = 5*m**2 + m + 4. Let u be g(0). Let k be (-2)/8 + (25/u - 2). What is d in -28/5*d**5 - 4*d**k + 0 + 36/5*d**3 - 8/5*d + 4*d**2 = 0?
-1, 0, 2/7, 1
Let s(f) be the first derivative of 2/39*f**3 - 12 - 3/13*f**2 + 4/13*f. Factor s(a).
2*(a - 2)*(a - 1)/13
Let c(h) be the second derivative of -h**5/160 + 17*h**4/96 - 11*h**3/6 + 9*h**2 - 4*h. Factor c(b).
-(b - 9)*(b - 4)**2/8
Let w(z) = -z - 6. Let g be w(-18). Factor 16*o - 16*o + o**4 - 5*o**4 - 8*o + g*o**2.
-4*o*(o - 1)**2*(o + 2)
Factor 32/7*w + 2/7*w**2 + 18.
2*(w + 7)*(w + 9)/7
Find j, given that 153*j**3 - 172*j - 84*j**2 - 64 - 8 - 93*j**3 + 6*j**4 + 38*j**4 = 0.
-1, 18/11
Let u(q) = 3*q**3 + 5*q**2 + q + 7. Let z = 85 + -74. Let j(h) = -8*h**3 - 14*h**2 - 4*h - 20. Let y(w) = z*u(w) + 4*j(w). Determine g so that y(g) = 0.
-1, 3
Let f(n) = n**3 + 7*n**2 - 9*n - 8. Let l be f(-8). Factor 0*r + 0*r**2 + 5/2*r**4 + l + 5*r**3.
5*r**3*(r + 2)/2
Let r = -25574/7 - -3654. Solve -2/7 + r*f - 2/7*f**2 = 0.
1
Let y(h) be the first derivative of 5*h**4/8 + 85*h**3/3 + 155*h**2/4 - 165*h + 500. Let y(m) = 0. What is m?
-33, -2, 1
Factor -4*p**2 - 10/3 - 1/3*p**3 - 7*p.
-(p + 1)**2*(p + 10)/3
Let y(m) be the first derivative of -5 + 19/28*m**4 + 1/7*m**2 + 0*m + 1/14*m**6 - 13/35*m**5 - 11/21*m**3. Find s such that y(s) = 0.
0, 1/3, 1, 2
Let a(o) be the second derivative of 5*o**7/168 + o**6/4 - 3*o**5/16 - 5*o**4/3 + 5*o**3/2 