**6/72 + 11*j**4/144 - j**3/6 - 53*j**2. Determine w, given that g(w) = 0.
-1, 1, 2, 3
Let x(a) be the first derivative of a**5 + 5*a**4/4 - 25*a**3/3 + 15*a**2/2 + 330. Factor x(n).
5*n*(n - 1)**2*(n + 3)
Let c(l) = l**3 + 22*l**2 + 20*l - 20. Let u be c(-21). Let k(y) be the first derivative of -u - 1/12*y**4 + 0*y**3 + 1/6*y**2 + 0*y. Solve k(s) = 0 for s.
-1, 0, 1
Let j(p) be the third derivative of p**8/504 + 2*p**7/315 - p**6/60 - 2*p**5/45 + p**4/9 - 128*p**2. Factor j(a).
2*a*(a - 1)**2*(a + 2)**2/3
Let c(a) be the first derivative of -a**6/30 + 2*a**5/15 + a**4/6 - 4*a**3/3 + 7*a**2 - 9. Let d(s) be the second derivative of c(s). Factor d(r).
-4*(r - 2)*(r - 1)*(r + 1)
Let m(z) be the third derivative of 14*z**2 + 0*z**3 + 0 + 0*z + 1/42*z**5 + 1/21*z**4 + 1/420*z**6. Solve m(t) = 0 for t.
-4, -1, 0
Let a(n) be the second derivative of -5*n**7/231 - 4*n**6/55 + n**5/10 + 23*n**4/33 + 12*n**3/11 + 8*n**2/11 - n - 434. Determine w, given that a(w) = 0.
-2, -1, -2/5, 2
Let m(r) be the first derivative of -r**5/10 + r**4/2 - 2*r**3/3 + 21*r + 19. Let o(y) be the first derivative of m(y). Let o(s) = 0. What is s?
0, 1, 2
What is q in -3/5*q**3 + 27/5*q**2 - 63/5 - 33/5*q = 0?
-1, 3, 7
Suppose -1690 = 10*k - 0*k. Let i = k - -173. Let 3 + 39/4*f**2 - 9/2*f**3 + 3/4*f**i - 9*f = 0. Calculate f.
1, 2
Let n be (-10)/4*4*(-4)/20. Let u(l) be the second derivative of -5*l - 1/90*l**5 + 2/9*l**n + 1/9*l**3 + 0 + 0*l**4. Solve u(w) = 0 for w.
-1, 2
Suppose -4 = l + t - 2*t, 2*l = 5*t - 8. Let n be (0 + -2)/(l/6). Factor 3*p**3 + n - 3 + 4*p**2 - 2*p**2 + p**4.
p**2*(p + 1)*(p + 2)
Let c(j) be the third derivative of 0*j + 1/60*j**5 + 0 + 25*j**2 + 1/12*j**4 + 0*j**3. Factor c(g).
g*(g + 2)
Let a(c) be the second derivative of -c**7/189 + 2*c**6/135 + c**5/45 - 4*c**4/27 + 7*c**3/27 - 2*c**2/9 + 3*c - 2. Factor a(h).
-2*(h - 1)**4*(h + 2)/9
Suppose 0 = 30*w - 85*w + 35*w. Factor 2/13*n**2 + w - 2/13*n.
2*n*(n - 1)/13
Suppose 11*v = 1 + 21. Let t(r) be the second derivative of -r**2 + 0 - 1/24*r**4 - 1/3*r**3 - v*r. Factor t(x).
-(x + 2)**2/2
Determine u so that -49*u - 12 - 58*u**2 - 39*u**3 - 52*u**2 + u**4 + 41*u**2 - 8*u**4 = 0.
-3, -1, -4/7
Let x(m) be the first derivative of -3*m**4/16 + 9*m**3/4 + 29. Factor x(d).
-3*d**2*(d - 9)/4
Let f be (-16 + 3125/200)/((-3)/2). Find v, given that -1/2 - 1/2*v**2 - v**3 + v**4 + 5/4*v - f*v**5 = 0.
-1, 1, 2
Let t be (7/(-3) + 3)*3. Suppose 3*n = q + 75 + 118, -3*n + 191 = -2*q. Factor n*i - 196*i**t - 36 - 77*i - 156*i.
-4*(7*i + 3)**2
Factor -3/4 - 1/4*z**2 - z.
-(z + 1)*(z + 3)/4
Let g = 11042/3 + -3680. Solve 4/3 - 2*t**2 - 2/3*t**3 + 2/3*t + g*t**4 = 0 for t.
-1, 1, 2
Let b(r) be the second derivative of r**6/45 - 3*r**5/10 + 4*r**4/9 - 117*r. Let b(d) = 0. Calculate d.
0, 1, 8
Factor 67*h + 233*h - 556*h + 4096 + 4*h**2.
4*(h - 32)**2
Let w(q) = -q**2 - 5*q - 3. Suppose -8 = 2*p - 4. Let b be w(p). Find h, given that -15*h**3 - 37*h**3 + 8 - 8*h**2 + 16*h**b + 36*h = 0.
-1, -2/9, 1
Let m(h) be the third derivative of 0*h + 1/280*h**6 + 0 - 1/420*h**5 - 1/84*h**4 + 0*h**3 + 10*h**2. Factor m(y).
y*(y - 1)*(3*y + 2)/7
Factor 1/7*q**5 - 46/7*q**4 + 5120/7*q - 2888/7*q**2 + 652/7*q**3 - 3200/7.
(q - 20)**2*(q - 2)**3/7
Let s(q) be the second derivative of 1/24*q**4 - 21*q + 1/2*q**3 - 1/20*q**5 - 9/8*q**2 - 1/120*q**6 + 0. Suppose s(w) = 0. Calculate w.
-3, 1
Suppose -k = -5*x + 10, 6 = -4*k + 4*x - 2. Let q(s) = s**3 + 4*s**2 - 2*s - 3. Let w be q(-4). Factor -w*c - 8*c**2 + 0 + 13*c**2 + k.
5*c*(c - 1)
Factor 16/7*n**2 + 2*n + 0 + 2/7*n**3.
2*n*(n + 1)*(n + 7)/7
Let f = 67/342 - 5/171. Suppose f*n**2 - 1/3 + 1/6*n = 0. Calculate n.
-2, 1
Find y such that 0*y + 6/5*y**3 + 0 - 2/5*y**5 - 4/5*y**4 + 0*y**2 = 0.
-3, 0, 1
Factor 0*r + 1/3*r**2 + r**3 + 1/3*r**5 + r**4 + 0.
r**2*(r + 1)**3/3
Suppose -4*p + 13 = 5*q, 0 = -p + 5*q - 4 + 1. Factor 7*w**3 + 2*w - 6*w**3 - 3*w - w**p + w**4.
w*(w - 1)*(w + 1)**2
Let v(u) = -80*u**3 - 190*u**2 + 6640*u - 6535. Let f(s) = 3*s**3 + 7*s**2 - 246*s + 242. Let i(b) = 55*f(b) + 2*v(b). Solve i(t) = 0.
-8, 1, 6
Let z(r) be the first derivative of r**4/18 + 2*r**3/9 + 12*r + 8. Let i(v) be the first derivative of z(v). Factor i(n).
2*n*(n + 2)/3
Let n(p) be the first derivative of -1/5*p**2 - 2/15*p**3 - 12 + 0*p. Factor n(f).
-2*f*(f + 1)/5
Suppose -3*m + 15 = -8*m. Let x = 5 + m. Solve 0*d**2 - 3*d + 2*d + d**x = 0 for d.
0, 1
Let r(h) = -h**2 + 98*h - 1872. Let x be r(26). Let x - 1/4*v**2 + 1/4*v**3 - 1/4*v + 1/4*v**4 = 0. Calculate v.
-1, 0, 1
Factor -3*j**4 + 1003*j**2 - 7*j**4 + 290*j**3 - 2747*j**2 + 5*j**4 - 2461*j**2.
-5*j**2*(j - 29)**2
Factor 0*u + 0*u**2 + 0 - 14/5*u**3 + 2/5*u**4.
2*u**3*(u - 7)/5
Let z(b) be the second derivative of b**5/140 + 5*b**4/56 + 3*b**3/7 + 8*b**2 - 24*b. Let c(v) be the first derivative of z(v). Factor c(w).
3*(w + 2)*(w + 3)/7
Suppose -52*s - 8 = -54*s. Let p(u) be the second derivative of -1/20*u**5 + 1/42*u**7 + 2*u + 0*u**3 + 0*u**2 + 1/30*u**6 - 1/12*u**s + 0. Factor p(i).
i**2*(i - 1)*(i + 1)**2
Let p(o) = -6*o**3 - 23*o**2 - 11*o + 6. Let m(k) be the first derivative of k**4/2 + 8*k**3/3 + 2*k**2 - 2*k - 3. Let g(y) = -17*m(y) - 6*p(y). Factor g(u).
2*(u - 1)*(u + 1)**2
Let a be -1 + 0 + 3 + 9. Suppose 3*z - 1 = a. Let 4*d**z - 7*d**4 + 6*d + 2*d**2 + d**2 - 6*d**3 = 0. What is d?
-2, -1, 0, 1
Let n(q) be the first derivative of -q**6/12 - 3*q**5/10 + q**4/8 + q**3/2 + 135. Let n(z) = 0. What is z?
-3, -1, 0, 1
Let o(h) = -h**3 - h + 3. Let b be o(0). Factor 5*m**3 + 6*m**2 + 7*m**b - 3*m**3 + 0*m**2.
3*m**2*(3*m + 2)
Let t(g) = g**3 - 7*g**2 - 10*g + 102. Let h be t(5). Let d be 1910/175 + 2/(-10). Find m such that 30/7*m - d - 3/7*m**h = 0.
5
Let a(v) be the first derivative of 144*v**5/25 - 33*v**4 - 308*v**3/15 + 18*v**2/5 + 4*v - 264. Solve a(t) = 0 for t.
-1/3, 1/4, 5
Let u be 655/315 + ((-1265)/161 - -7). Factor -2/3 - 1/9*t**3 - 2/3*t**2 - u*t.
-(t + 1)*(t + 2)*(t + 3)/9
Let o(a) = a**2 + 25*a + 54. Let k be o(-23). Let j be (-39)/(-9) + k/(-2). Solve 2/3*l + 1 - j*l**2 = 0 for l.
-1, 3
Suppose 6*x - 21*x - x**2 - 15*x - 6*x + 6*x = 0. What is x?
-30, 0
Let h = 768 + -5368/7. Let b(d) be the first derivative of -4/7*d**2 - h*d - 2/21*d**3 - 1. Factor b(y).
-2*(y + 2)**2/7
Factor 462*w**2 - 432*w**2 - 60*w - 10 + 50 - 7*w**3 + 2*w**3.
-5*(w - 2)**3
Let d(l) = 3*l**2 - 12*l + 4. Let y be d(4). Factor m**5 - 2*m - m**y - 3*m**3 - 145 + 145 + 5*m**2.
m*(m - 1)**3*(m + 2)
Let z = 335 - 331. Let 0*o**2 - 2/17*o**5 + 4/17*o**z + 0*o + 0 - 2/17*o**3 = 0. What is o?
0, 1
Let h(u) be the second derivative of 3/50*u**5 + 3*u + 0*u**2 + 0*u**3 + 0 - 1/15*u**4. What is r in h(r) = 0?
0, 2/3
Let f be 8*(1 + (1 - (-42)/(-24))). Let x(i) be the first derivative of 1/6*i**6 - 2/5*i**5 - 1/2*i**f + 0*i + 2/3*i**3 + 0*i**4 - 11. Factor x(s).
s*(s - 1)**3*(s + 1)
Factor -1/6*r**2 - 2/3 - 5/6*r.
-(r + 1)*(r + 4)/6
Let j(z) be the third derivative of 2*z**7/105 - z**6/5 - 16*z**5/15 - 937*z**2. Solve j(u) = 0.
-2, 0, 8
Let h(a) be the first derivative of -5/11*a**2 - 4 - 12/11*a + 2/33*a**3. Factor h(b).
2*(b - 6)*(b + 1)/11
Let p be (6/15)/(6/10). Let s be (14 + -20)*(15/9 - 2). Suppose -4/3 + 4/3*d**s + p*d - 2/3*d**3 = 0. What is d?
-1, 1, 2
Let o be (-145)/261*(-4 + 138/(-15)). Solve 16*d - 24 + o*d**2 + 2/3*d**3 = 0 for d.
-6, 1
Let n(f) be the third derivative of -f**5/90 - 5*f**4/12 + 16*f**3/9 - 65*f**2 + 3*f. Factor n(h).
-2*(h - 1)*(h + 16)/3
Let v = 131 - 126. Let b(l) = 15*l**2 - 80*l + 165. Let a(y) = -22*y**2 + 120*y - 247. Let c(t) = v*a(t) + 7*b(t). Solve c(s) = 0.
4
Let c(u) be the third derivative of 5*u**8/224 - 47*u**7/140 + 69*u**6/40 - 16*u**5/5 + 2*u**4 - 78*u**2. Solve c(i) = 0.
0, 2/5, 1, 4
Let t(l) be the first derivative of -l**4/2 - 20*l**3/3 - 28*l**2 - 48*l - 992. Factor t(r).
-2*(r + 2)**2*(r + 6)
Let u(l) = 2*l - 5. Let q be u(5). Suppose 4 + 16 = q*m. Find f such that -4 + 4*f**2 - 3*f**2 + m*f - 2*f**2 = 0.
2
Let n be 3/12 + (-21)/(-12). Let c be 0 + 0/n - -2. Suppose -3*y**3 + 9*y**4 - 3*y**3 - 6*y**2 + 2*y - 3*y**c + 4*y = 0. What is y?
-1, 0, 2/3, 1
Let i(q) = -q**2 - 413*q - 6946. Let k(j) = 3*j**2 + 1032*j + 17364. Let l(z) = -12*i(z) - 5*k(z). Factor l(s).
-3*(s + 34)**2
Let i(u) = 13*u**2 - 