tive of v(u). Factor j(b).
-3*(b + 6)*(3*b - 1)/5
Let i(z) be the second derivative of 9*z**5/80 + z**4/24 + 311*z + 1. Factor i(m).
m**2*(9*m + 2)/4
Let p be 377 + (-273)/429*-11. Factor -24*z**3 + 2/5*z**5 - 4608/5 + 32*z**2 + 0*z**4 + p*z.
2*(z - 4)**3*(z + 6)**2/5
Let k(u) be the first derivative of -u**4 - 20*u**3 - 54*u**2 + 972*u - 1729. Factor k(o).
-4*(o - 3)*(o + 9)**2
Suppose 0 = 3*m - 5*s - 11, -3*s + 19 = -m + 12*m. Let z(c) be the first derivative of -18*c**3 + 40 + 162*c**m - 648*c + 3/4*c**4. Let z(i) = 0. What is i?
6
Let z(y) = -24*y**2 - 8909*y - 1962504. Let x(g) = 11*g**2 + 4451*g + 981251. Let h(p) = 7*x(p) + 3*z(p). What is o in h(o) = 0?
-443
Let n(r) = 49 + 181 - 35 + 8*r. Let p be n(-24). Determine i, given that 4/3*i + 5/3*i**p + 0 - 8/3*i**2 - 1/3*i**4 = 0.
0, 1, 2
Let p be (18 + 8/(-2))*3/2. Suppose 4*h - p + 5 = 0. Factor -5*o + 5 - o**4 - 5*o**5 + 7*o**4 - o**h - 10*o**2 + o**3 + 9*o**3.
-5*(o - 1)**3*(o + 1)**2
Suppose j - 22 = -2*s + 2*j, 3*s - 46 = -5*j. Suppose 0 = -3*i + s, -4*m = -3*i + 2*i - 4. Suppose 0*n**m - 3*n**3 + 2*n**3 + 2*n**3 - n**2 = 0. What is n?
0, 1
Let g(n) be the second derivative of 2*n + 0 + 9/5*n**2 + 1/30*n**4 - 2/5*n**3. Let g(q) = 0. What is q?
3
Let 0*f + 0*f**3 + 0*f**2 + 524/11*f**4 - 2/11*f**5 + 0 = 0. Calculate f.
0, 262
Let c(h) = -2*h**4 - 116*h**3 + 130*h**2 - 6. Let u(s) = -12*s**4 - 697*s**3 + 779*s**2 - 35. Let a(y) = -35*c(y) + 6*u(y). Determine m, given that a(m) = 0.
-62, 0, 1
Suppose 5*b + 4*o - 30 = 0, 198*b - 5*o = 203*b - 35. Let w = 2 - 2. Factor 6/7*s**b + w - 1/7*s**3 - 9/7*s.
-s*(s - 3)**2/7
Let f(r) be the second derivative of 26*r**6/135 - 41*r**5/45 - 46*r**4/27 + 16*r**3/27 - 36*r + 5. Find s such that f(s) = 0.
-1, 0, 2/13, 4
Let y(l) be the first derivative of l**3/3 - 679*l**2 + 461041*l + 705. Find u such that y(u) = 0.
679
Suppose -9 = -5*q - l, 3 - 2 = 2*q + 3*l. Suppose r - 4*o = -10, -o - q + 1 = -2*r. Determine m so that m**4 + r*m**4 - 69*m**2 - 2*m - 4*m**4 + 72*m**2 = 0.
-2, 0, 1
Let j(o) be the third derivative of o**7/280 + o**6/160 - 21*o**5/40 - 4*o**2 + 2*o - 9. Factor j(l).
3*l**2*(l - 6)*(l + 7)/4
Let i = -191 + 193. Suppose -91*j**3 + 177*j**3 - 87*j**3 - 3*j**i + 4 = 0. Calculate j.
-2, 1
Suppose -2*x + 0*x = v + 1, 3*v + 11 = -2*x. Let s be (137/(-72) - (-5)/40) + 2. Factor -2/3*r**3 + 0*r**x + 8/9*r + 0 - s*r**4.
-2*r*(r - 1)*(r + 2)**2/9
Suppose -3*o - 2*o - 3*x + 15 = 0, 2*o - 3*x - 6 = 0. Suppose 30 = 3*y - 5*r - 22, o*y = r + 32. Let 387*z**2 - 196*z**2 - 6 - y*z - 194*z**2 = 0. What is z?
-2, -1
Let z(f) = 3*f**2 + 32*f - 35. Let j(n) = 16*n**2 + 160*n - 176. Let r(g) = -2*j(g) + 11*z(g). Factor r(y).
(y - 1)*(y + 33)
Let g be 7922/14679 + (-6)/63. Let a(o) be the first derivative of 6 - 4/15*o**5 - 1/2*o**4 + 0*o - g*o**3 - 1/18*o**6 - 1/6*o**2. Suppose a(q) = 0. What is q?
-1, 0
Let u be (25/(-15))/(22/66) - 50/(-10). What is n in u*n**2 + 2/7*n**3 - 6/7*n + 4/7 = 0?
-2, 1
Factor -676/3 + 680/3*l - 4/3*l**2.
-4*(l - 169)*(l - 1)/3
Let o(y) be the first derivative of 17*y**3/3 - 9*y**2 + y - 2895. Let o(p) = 0. Calculate p.
1/17, 1
Let l(s) = -13*s - 9. Suppose 3*g = -2 - 10. Let f be l(g). Factor -2*u**3 - 86*u**4 + 41*u**4 + f*u**4.
-2*u**3*(u + 1)
Let i(q) be the first derivative of 3*q**5/2 + 33*q**4/2 + 81*q**3/2 - 27*q**2/2 - 7299. Suppose i(t) = 0. Calculate t.
-6, -3, 0, 1/5
Let x(w) be the second derivative of w**7/168 - 83*w**6/30 + 5577*w**5/16 - 9075*w**4/8 + 1112*w. Factor x(g).
g**2*(g - 165)**2*(g - 2)/4
Let d(s) = -s**3 - 9*s**2 + 2. Let t be d(-9). Determine l so that -16*l + 4*l**3 + 315*l**4 + 12*l**5 - 32 + 72*l**t + 342*l**4 - 697*l**4 = 0.
-1, -2/3, 1, 2
Let a(n) be the second derivative of n**6/3 - 247*n**5/4 + 12605*n**4/4 + 9920*n**3/3 - 9610*n**2 - 7905*n. Suppose a(m) = 0. Calculate m.
-1, 1/2, 62
Suppose 3*m - 5*s - 24 = 0, 4*s - 25 = -m - 17. Factor -44*t - m + 8 - 4*t**2 - 48*t.
-4*t*(t + 23)
Determine t so that 432/5 - 3/5*t**2 - 54/5*t = 0.
-24, 6
Let z be (-10)/(-12) - (-8323)/15990 - (-126)/(-105). Let 8/13*l - 4/13*l**3 - 6/13 + z*l**2 = 0. Calculate l.
-3/2, 1
Let w(g) be the second derivative of -2*g**7/147 + 24*g**6/35 - 9*g**5/7 - 806*g**4/21 + 64*g**3 + 9792*g**2/7 - 2188*g. Suppose w(u) = 0. Calculate u.
-3, 4, 34
Let n(s) be the first derivative of 0*s + 132 - s**4 - 8/3*s**3 + 0*s**2. Suppose n(a) = 0. Calculate a.
-2, 0
Suppose -q + 2 = 0, 0*g + g + 5*q - 13 = 0. Solve 100*o - 2*o**3 - 40 - 3*o**5 - 472*o**2 - 2*o**5 + 20*o**4 + 402*o**2 - 3*o**g = 0 for o.
-2, 1, 2
Let a be 4697/305 + -24 - (1*-7 - 2). Suppose -1/5*t**2 + 1/5*t**4 - 2/5*t**5 + 0*t + a*t**3 + 0 = 0. Calculate t.
-1, 0, 1/2, 1
Let b be 1*(3/(-5) + 1). Suppose -u - 17 = p - 16, 2*p + 11 = -5*u. Factor b*n + 0 - 2/5*n**p.
-2*n*(n - 1)/5
Find m such that -1/3*m**3 - 13608 + 94/3*m**2 - 468*m = 0.
-14, 54
Factor 32 - 1/8*t**2 - 15/2*t.
-(t - 4)*(t + 64)/8
Factor 34 + 87/5*f + 1/5*f**2.
(f + 2)*(f + 85)/5
Let m(c) = -37*c - 256. Let v be m(-9). Suppose 6*n**3 - 13*n - 19*n - 59*n**3 - 4 - v*n**2 + 4*n**3 = 0. Calculate n.
-1, -2/7
Let g(a) be the first derivative of -200*a**3/3 - 140*a**2 - 98*a - 702. Find q, given that g(q) = 0.
-7/10
Suppose 10 = 2*l, -2*m - 12945 = 2*m - 5*l. Let k be (-47)/(-34) - 19/(m/20). Solve 3/2 + 3/4*a**3 - 3/4*a - k*a**2 = 0 for a.
-1, 1, 2
Let f = -10/31 + 112/155. Let d(v) be the second derivative of -f*v**3 + 0 + 1/15*v**4 - 30*v + 0*v**2. Factor d(k).
4*k*(k - 3)/5
Suppose 119991 = 63*j + 15726. Let c be (-331)/j + ((-4422)/(-20))/3. Let -63*g**2 + 0 + c*g**3 + 27/2*g = 0. What is g?
0, 3/7
Let k = 39 + -43. Let r be -1*16/k - 0. Factor 8*h**2 - 2*h**3 + 2*h**3 + 0*h**2 - 4*h**3 - r*h.
-4*h*(h - 1)**2
Factor 1592*y - 19*y**2 - 3230 - y**3 - 16*y**2 - 97*y + 393*y - 13922.
-(y - 16)**2*(y + 67)
Let o(m) = -m**3 + 10*m**2 - 5*m - 31. Let s be o(9). Factor -f**2 + 18 - 6*f**4 - 21*f + s*f**3 - 23*f**4 + 28*f**4.
-(f - 3)**2*(f - 1)*(f + 2)
Let i(y) be the third derivative of y**7/42 - 23*y**6/8 + 67*y**5/4 - 995*y**4/24 + 55*y**3 + 2*y**2 + 2750. Factor i(b).
5*(b - 66)*(b - 1)**3
Suppose -187*b = -189*b + 6. Factor 12*s**3 + 15*s**3 + 16*s**3 - 46*s**b + 36*s**2.
-3*s**2*(s - 12)
Let d(s) be the second derivative of 0 + 1/6*s**6 + 405/2*s**2 - 5*s**5 - 33*s - 150*s**3 + 295/6*s**4. Factor d(p).
5*(p - 9)**2*(p - 1)**2
Let q(y) be the second derivative of y**7/112 + 33*y**6/80 - 111*y**5/160 - 101*y**4/32 + 9*y**3/4 + 51*y**2/4 - 641*y + 2. What is u in q(u) = 0?
-34, -1, 1, 2
Let s(z) = 16*z + 8*z**2 - 5 + 8*z**2 + 33. Let n(q) = -1 + 5*q**2 - 4*q - q - 6*q**2 + 4*q. Let u(r) = 20*n(r) + s(r). Factor u(m).
-4*(m - 1)*(m + 2)
Let x(b) = b**3 + 9*b**2 + 7*b + 12. Let p be x(-8). Let d be (-4*5/100)/(3/(-30)). Factor 3*w**2 + p*w**4 + 4*w**5 + 24*w**3 - 9*w**2 - 2*w**d - 12 - 28*w.
4*(w - 1)*(w + 1)**3*(w + 3)
Suppose -9*m + 174 = -141. Let q(d) = -2*d**2 + 171*d - 172. Let o(x) = -25*x**2 + 2055*x - 2065. Let w(c) = m*q(c) - 3*o(c). What is j in w(j) = 0?
1, 35
Let t(c) be the third derivative of -c**8/336 + c**7/210 + 7*c**6/120 - c**5/60 - c**4/4 - 6*c**2 - 92*c. Let t(r) = 0. Calculate r.
-2, -1, 0, 1, 3
Let w(o) be the second derivative of -2*o**6/135 + 47*o**5/60 - 101*o**4/36 + 199*o**3/54 - 11*o**2/6 - 710*o. Let w(n) = 0. What is n?
1/4, 1, 33
Let p(a) = -71*a**3 - 62*a**2 - 871*a - 3340. Let s(m) = 9*m**3 + m**2 - 4*m + 1. Let v(o) = -5*p(o) - 40*s(o). Factor v(f).
-5*(f - 68)*(f + 7)**2
Suppose 39/10*z + 41/10*z**2 - 4 - 1/10*z**4 - 39/10*z**3 = 0. What is z?
-40, -1, 1
Let n(m) be the first derivative of 1/2*m**2 - 1/12*m**4 + 1/6*m**3 - 1/20*m**5 + 7*m + 20. Let u(l) be the first derivative of n(l). Factor u(s).
-(s - 1)*(s + 1)**2
Let f(s) be the third derivative of s**5/30 + 413*s**4/2 + 511707*s**3 + 56*s**2 + 55*s. Factor f(c).
2*(c + 1239)**2
Suppose 2*r = p - 0*p - 25, -2*p + 45 = -5*r. Find u such that -p*u - 10*u - 52 - 3*u + 4*u**2 = 0.
-1, 13
Factor 492*a**2 - 8*a - 24 + 480*a**2 - 970*a**2.
2*(a - 6)*(a + 2)
Let k be (-8 - -1 - -3)/(-2). Factor -24*v - 2*v**2 - 2*v**2 - k*v**2 + 24*v**3 - 3*v**4 + 9*v**2.
-3*v*(v - 8)*(v - 1)*(v + 1)
Let b be 10*(6/(-20) + 116/145). Suppose 0*d + d = 3. Determine o so that -20*o**2 - 5*o**4 + b*o**2 + 2*o**d + 18*o**3 = 0.
0, 1, 3
Let c