et c(z) = 4*b(z) + 3*u(z). Factor c(j).
-3*(j + 3)**2
Let v be (18/4)/1 + (-61)/(-122). Let y(a) be the second derivative of 1/120*a**6 + 3/8*a**4 + 0 - 10*a - 27/8*a**2 + 0*a**3 - 1/10*a**v. Factor y(n).
(n - 3)**3*(n + 1)/4
Let l(b) be the first derivative of 3*b**4/16 + 4*b**3 + 87*b**2/8 + 21*b/2 - 54. Factor l(v).
3*(v + 1)**2*(v + 14)/4
Let f(b) = 4*b**3 + 64*b**2 + 568*b + 900. Let o(q) = q**3 - q. Let h(d) = -f(d) + 2*o(d). Suppose h(v) = 0. What is v?
-15, -2
Let r = -8152/5 + 1632. Factor -r + 4/5*j + 4/5*j**2.
4*(j - 1)*(j + 2)/5
Let f be (-5)/(-5) + -3 - 2. Let r be (-4 - -4)/f - -2. Determine x, given that -2*x - 2 + 2*x**3 + 3*x**3 + r*x**2 - 5*x**3 + 2*x**3 = 0.
-1, 1
Let s(x) be the second derivative of -x**4/8 - 39*x**3 - 4563*x**2 - 256*x. Factor s(c).
-3*(c + 78)**2/2
Suppose -2*j + 8 = -4*c, 5*c - 1 = -3*j - 0. Let b(n) be the second derivative of 0*n**j + 0 + 1/33*n**3 - 3*n + 1/66*n**4. Suppose b(l) = 0. What is l?
-1, 0
Let b(c) be the third derivative of -c**7/490 + 3*c**6/140 - 2*c**5/35 - 3*c**4/28 + 9*c**3/14 - c**2 - 3*c. Solve b(w) = 0 for w.
-1, 1, 3
Let y = -1632 - -6549/4. Factor 57/4*n**3 + 3/4*n + 45/4*n**2 - 3/2 + y*n**4.
3*(n + 1)**3*(7*n - 2)/4
Let v(b) be the second derivative of b**4/12 + 5*b**3/3 - 10*b. Factor v(d).
d*(d + 10)
Factor 3/4*r**3 + 1/4*r**2 - 3/4*r + 1/4*r**4 - 1/2.
(r - 1)*(r + 1)**2*(r + 2)/4
Let r(y) be the second derivative of -16*y + 1/4*y**5 - 5/6*y**3 + 0 - 10*y**2 + 5/3*y**4. Factor r(p).
5*(p - 1)*(p + 1)*(p + 4)
Factor 64 - 11*j**3 + 87*j - 182*j - 137*j - 7*j**3 + 188*j**2 - 2*j**3.
-4*(j - 8)*(j - 1)*(5*j - 2)
Suppose 8/17 + 2/17*z**2 + 8/17*z = 0. Calculate z.
-2
Factor 65*i**4 - 102*i**4 + 41*i**4 - 12*i**3 - 64*i**2 - 48*i.
4*i*(i - 6)*(i + 1)*(i + 2)
Let p = 4853/2 + -2425. Factor -1/2*c**4 + c + 0 + 1/2*c**2 - p*c**3 + 1/2*c**5.
c*(c - 2)*(c - 1)*(c + 1)**2/2
Let a = 15 + -16. Let k = a + 3. Factor 0 + 0*l**k + 0*l - 2/5*l**3 + 2/5*l**4.
2*l**3*(l - 1)/5
Let s(d) be the third derivative of -d**9/4536 + d**8/840 + d**7/1260 - d**6/180 + 19*d**3/6 - 9*d**2. Let m(w) be the first derivative of s(w). Solve m(g) = 0.
-1, 0, 1, 3
Suppose -4*w + 5*w + 14 = 0. Let r = w - -16. Suppose -2*u**r + 3*u - 12*u + 6*u + 5*u = 0. What is u?
0, 1
Let s(n) be the first derivative of n**6/16 + 3*n**5/10 - 7*n**3/4 - 51*n**2/16 - 9*n/4 + 70. What is y in s(y) = 0?
-3, -1, 2
Let j(l) = 2*l**3 + 12*l**2 + 10*l. Let z(n) = n**3 - n. Let y(x) = -j(x) + 3*z(x). Find h, given that y(h) = 0.
-1, 0, 13
Let m = 5856 + -5854. Factor -8/11*b**3 - 2/11 + 6/11*b + 0*b**m.
-2*(b + 1)*(2*b - 1)**2/11
Let f(i) = 2*i**2 - 3*i + 3. Let o be f(2). Determine a, given that 5 - 15*a**2 - o - 5*a**3 = 0.
-3, 0
Let g(r) = 2*r**4 + 21*r**3 + 41*r**2 - 90*r - 13. Let k(d) = -d**4 - 11*d**3 - 20*d**2 + 44*d + 6. Let v(p) = 6*g(p) + 13*k(p). Factor v(f).
-f*(f - 1)*(f + 2)*(f + 16)
Suppose 18*k - 21*k + 15 = 0. Find v such that -4*v**2 + 14*v**3 - 15*v**3 + k*v**3 = 0.
0, 1
Let k(a) = -a**3 - 16*a**2 + 54*a - 55. Let y be k(-19). Solve -2/13*b - 2/13*b**5 - 4/13 + 8/13*b**y - 4/13*b**4 + 4/13*b**3 = 0 for b.
-2, -1, 1
Let m = 33 + -17. Let x be (m/24)/((-10)/(-18)). Suppose -4/5*s**2 - 2/5 - x*s = 0. What is s?
-1, -1/2
Suppose 6*s + 10 + 20 = 0. Let a(c) = c**4 - 2*c**3 - 4*c**2 + 2*c + 3. Let y(q) = -q**3 - q**2 + q + 1. Let r(i) = s*y(i) + a(i). Find o such that r(o) = 0.
-2, -1, 1
Let a = -796 - -800. Let y(x) be the second derivative of 0*x**2 - 1/78*x**4 + 0 - 2/39*x**3 - a*x. Factor y(k).
-2*k*(k + 2)/13
Factor -232*w - 165/2*w**2 - 1/2*w**4 - 11*w**3 - 160.
-(w + 1)*(w + 5)*(w + 8)**2/2
Let l(y) = 2*y**3 + 5*y**2 - 8*y + 4. Let s be 1*(-4 - (0 + 0)). Let m(w) = -3*w**3 - 5*w**2 + 8*w - 4. Let a(x) = s*l(x) - 3*m(x). Find v, given that a(v) = 0.
1, 2
Let r(q) = -6*q**2 - 3 - 10*q - 3*q**2 - q**3 - 8 + 0*q**3. Let i be r(-8). Factor 2*h**2 - 3*h**3 + 2*h**2 + 13*h**3 + 3*h**i - h**5 + 8*h**4.
2*h**2*(h + 1)**2*(h + 2)
Let b(f) = -6*f**3 - 743*f**2 - 30258*f - 413521. Let m(j) = 3*j**3 + 372*j**2 + 15129*j + 206760. Let d(o) = -3*b(o) - 5*m(o). Determine s so that d(s) = 0.
-41
Solve -9/2*s**2 - 1/2*s**3 - 8 - 12*s = 0 for s.
-4, -1
Let o(w) = 27*w - 4. Let u be o(-2). Let a be 1/(-3) + u*(-1)/30. What is q in a + 2/5*q**2 - 8/5*q = 0?
2
Let z(w) be the second derivative of 1/4*w**3 - 1/24*w**4 - 21*w + 0 + 1/2*w**2 - 1/60*w**6 - 3/40*w**5. Factor z(k).
-(k - 1)*(k + 1)**2*(k + 2)/2
Let k be 1*(-1)/(-3)*9. Factor i**k - 2*i**2 - i**2 + 2 + 2.
(i - 2)**2*(i + 1)
Let p(r) be the first derivative of -r**5/4 + 35*r**4/12 - 25*r**3/2 + 45*r**2/2 - 10*r - 25. Let k(a) be the first derivative of p(a). Factor k(u).
-5*(u - 3)**2*(u - 1)
Let k(o) be the third derivative of -1/144*o**4 - 27*o**2 - 1/180*o**5 + 0 + 1/36*o**3 + 0*o. Factor k(n).
-(n + 1)*(2*n - 1)/6
Let v be 9/12*15/45. Factor -3*d - 2 - v*d**3 - 3/2*d**2.
-(d + 2)**3/4
Suppose 5*k - 4 = -3*d, k - 4 = 2*k + 3*d. Let h be (0 + (-1)/k)*(3 - 4). Factor -1/2*r**2 + 0 + h*r.
-r*(r - 1)/2
Let r(t) = t**3 - 2*t**2 - t - 3. Let q be r(3). Find b, given that -7 + 2*b**4 - 2*b**2 - 2*b + 7 + 2*b**q = 0.
-1, 0, 1
Let q be 0 - 0*4/(-8). Factor -4*g - 3 + 10*g - 3*g**2 + 0*g**2 + q*g.
-3*(g - 1)**2
Factor -6*r**2 - 18*r - 14 - 5 + 21 + 8*r**3 - 6.
2*(r - 2)*(r + 1)*(4*r + 1)
Let t(p) be the third derivative of -p**6/300 - 2*p**5/75 + p**4/60 + 4*p**3/15 - 209*p**2. Factor t(a).
-2*(a - 1)*(a + 1)*(a + 4)/5
Determine q so that -6/5*q**5 + 13/2*q**3 - 3/5 - 8*q**2 + 37/10*q - 2/5*q**4 = 0.
-3, 1/2, 2/3, 1
Let o(y) = -6*y + 56. Let n be o(9). Let f(t) be the first derivative of -n*t + 4/3*t**3 + 3/4*t**4 - 5 - 1/2*t**2. Factor f(r).
(r + 1)**2*(3*r - 2)
Let f(c) be the third derivative of c**7/315 - c**6/180 - 2*c**5/15 + 7*c**4/9 - 16*c**3/9 - 113*c**2. Factor f(d).
2*(d - 2)**2*(d - 1)*(d + 4)/3
Let b(j) be the second derivative of -5*j**4/12 - 15*j**3 - 325*j**2/2 - 739*j. Factor b(n).
-5*(n + 5)*(n + 13)
Let v(a) be the second derivative of 0 - 2/15*a**6 + 8*a**2 + 5*a - a**4 - 4/5*a**5 + 8/3*a**3. Suppose v(f) = 0. Calculate f.
-2, -1, 1
Let d(o) be the third derivative of -o**7/1050 + o**6/120 - o**5/300 - 7*o**4/40 + 3*o**3/5 - 3*o**2 + 1. Factor d(q).
-(q - 3)**2*(q - 1)*(q + 2)/5
Let 1920 + 12*p**4 + 1788*p**3 + 2055 + 13576 - 11140*p**2 + 76843*p**2 - 676 - 67050*p = 0. What is p?
-75, 1/2
Let j(a) be the third derivative of 3*a**7/490 + 31*a**6/280 - a**5/140 - 65*a**4/8 + 21*a**3 + 254*a**2. Find i, given that j(i) = 0.
-7, 2/3, 3
Suppose 19 + 9 = 7*r. Suppose -2*q - r*l = -17 - 9, 2*q - 21 = -3*l. Factor 0 - 3/2*a**4 + a - 7/2*a**2 + 4*a**q.
-a*(a - 1)**2*(3*a - 2)/2
Let c(s) be the third derivative of s**6/360 + s**5/120 - s**4/12 - 4*s**3 + 13*s**2. Let z(w) be the first derivative of c(w). What is h in z(h) = 0?
-2, 1
Let p(a) = a**4 + a**2 - a - 1. Let r(k) = k**4 + k**3 + 7*k**2 + 197*k - 5 - 202*k + 3*k**4. Let y(w) = -15*p(w) + 3*r(w). Find m such that y(m) = 0.
-1, 0, 2
Suppose 10 = -0*t - 2*t. Let s = t - -8. Let -3*a**2 + 9*a**3 + 0*a**4 + s*a**4 - 9*a**5 + 0*a**4 = 0. What is a?
-1, 0, 1/3, 1
Let r(i) be the second derivative of 0*i**3 + 0*i**4 + 19*i + 1/30*i**5 + 0 + 0*i**2. Factor r(b).
2*b**3/3
Let d = -3378 - -3382. Determine y, given that 3/2*y**d + 0 - 3*y**2 + 0*y - 3/2*y**3 = 0.
-1, 0, 2
Let b = -17 + 45. Let t = b - 19. Let v(w) = 8*w**3 + 14*w**2 + 2. Let z(x) = -31*x**3 - 57*x**2 + x - 9. Let h(p) = t*v(p) + 2*z(p). Factor h(a).
2*a*(a + 1)*(5*a + 1)
Let a be (-3*(-4)/(-14))/(537/(-2506)). Factor 17/2*l**3 + 8*l**2 + 0 + 2*l + 5/2*l**a.
l*(l + 1)*(l + 2)*(5*l + 2)/2
Let h be ((-1)/5)/((-3)/4 + 0). Solve 0 - 2/15*j**2 - h*j = 0.
-2, 0
Let s(r) = -39*r - 4. Let d be s(-1). Let t be (8/6)/(d/63). Factor 8/5*j**2 + 0*j + 6/5*j**4 + 0 + t*j**3 + 1/5*j**5.
j**2*(j + 2)**3/5
Find a, given that 0 + 64/11*a**2 - 28/11*a**3 + 256/11*a + 2/11*a**4 = 0.
-2, 0, 8
Let j(a) be the second derivative of -2*a**3/3 - 23*a**2 - 62*a. Let x be j(-12). Factor -3/2*c**x - 1/3*c**3 - 2/3 + 2*c + 1/2*c**4.
(c - 1)**2*(c + 2)*(3*c - 2)/6
Suppose -244 = -b - 242. Let p(o) be the first derivative of 5 + 2/15*o**3 - 4/15*o + 2/25*o**5 + 7/30*o**4 - 1/5*o**b. Factor p(f).
2*(f + 1)**3*(3*f - 2)/15
Let v(b) = -5*b**3 + 2*b**2 + 2*b + 1. Let y be v(-1). Suppose 2*c + 