rst derivative of t(h). Factor w(y).
-y*(y - 7)
Let c(r) = -9*r**4 + 18*r**3 - 9*r**2 - 54*r + 33. Let u(l) = 14*l**4 - 37*l**3 + 18*l**2 + 109*l - 69. Let z(w) = 5*c(w) + 3*u(w). Factor z(p).
-3*(p - 1)**2*(p + 2)*(p + 7)
Let a(l) be the third derivative of l**6/180 + l**5/12 + l**4/3 - 35*l**3/6 - l**2. Let h(t) be the first derivative of a(t). Factor h(s).
2*(s + 1)*(s + 4)
Let d be (0/4)/((-1)/(-3)*3). Suppose 7*z + 3*t - 17 = 5*z, z - 4*t + 8 = d. Factor 24*k**3 - 38*k**2 - 11*k - 5 - 4*k**5 + 55*k - 18*k**2 + 4*k**z - 7.
-4*(k - 1)**4*(k + 3)
Suppose 15 = 5*j + 5*v, 23 = -5*v + 33. Let s(d) = -d**2 - 2*d. Let i(a) = 150*a - 980. Let b(p) = j*i(p) + 5*s(p). Factor b(h).
-5*(h - 14)**2
Find c such that 608/9 + 724/3*c + 50/3*c**2 - 14/9*c**3 = 0.
-8, -2/7, 19
Let v(r) be the first derivative of -9/5*r**5 + 211 - 3/2*r**4 + 12*r**3 + 0*r + 1/2*r**6 - 12*r**2. Determine j so that v(j) = 0.
-2, 0, 1, 2
Let v(f) = f**2 + f - 1. Let o(d) = -4*d**2 + 20*d + 32. Suppose 8*w = -83 + 19. Let g(t) = w*v(t) - o(t). What is a in g(a) = 0?
-6, -1
Let p(u) be the first derivative of -u**4/16 - 11*u**3/4 - 18*u**2 - 28*u - 6145. Factor p(j).
-(j + 1)*(j + 4)*(j + 28)/4
Let r(l) be the third derivative of -l**7/1470 - l**6/28 + 37*l**5/420 + 31*l**4/28 + 1275*l**2. Solve r(x) = 0 for x.
-31, -2, 0, 3
Let d(a) = -a**3 + 2*a**2 + 4*a + 4. Let s(t) = t**3 - 50*t**2 + 8*t + 8. Let q(b) = -2*d(b) + s(b). Solve q(p) = 0 for p.
0, 18
Suppose -4*m = -4*y - 340, 4*m - 2*y = -y + 343. Let r = -83 + m. What is p in 3 + 98*p**2 + 486*p**r - 54*p**2 - 120*p + 13 + 64*p**2 = 0?
-2/3, 2/9
What is c in 2 + 16*c**2 + 74372*c - 74161*c - 229*c**2 = 0?
-2/213, 1
Let o = -16164/2695 - -1514/245. What is u in 0*u + o*u**5 + 10/11*u**4 + 0*u**2 + 0 + 12/11*u**3 = 0?
-3, -2, 0
Let m = 9350 - 9350. Let o(u) be the third derivative of 1/72*u**4 + 0*u - 1/360*u**6 + 0*u**3 + 0*u**5 + m + 16*u**2. Factor o(q).
-q*(q - 1)*(q + 1)/3
What is m in -1946025/2*m - 3/2*m**3 + 301633875/2 + 4185/2*m**2 = 0?
465
Let a(g) = -g**3 - 12*g**2 - 10*g - 100. Let f be a(-12). Factor 4*u**2 + 20*u + 104 + f*u - 20.
4*(u + 3)*(u + 7)
Let c(q) be the third derivative of -q**5/90 - 109*q**4/36 - 20*q**2 + 25*q. What is r in c(r) = 0?
-109, 0
Let p(u) be the first derivative of -u**8/336 + u**7/105 + u**6/40 - u**2 + 13*u + 55. Let l(h) be the second derivative of p(h). Suppose l(d) = 0. What is d?
-1, 0, 3
Let f(w) be the second derivative of w**5/5 + 25*w**4/3 + 16*w**3 + 47*w + 16. Factor f(a).
4*a*(a + 1)*(a + 24)
Suppose 53 + 279 = 158*x - 142. Let b(s) be the second derivative of -1/180*s**6 + 0 - 1/20*s**5 - 1/3*s**2 - 13/72*s**4 + 32*s - 1/3*s**x. Factor b(o).
-(o + 1)**2*(o + 2)**2/6
Let w = -2952 + 2952. Let k(m) be the second derivative of -1/42*m**7 + 1/30*m**6 + w*m**4 + 0 - 8*m + 0*m**2 + 0*m**3 + 1/10*m**5. Factor k(x).
-x**3*(x - 2)*(x + 1)
Let p(y) be the first derivative of 0*y - 51 + 10/9*y**3 + 2*y**2 - 1/3*y**4 - 2/15*y**5. Let p(s) = 0. What is s?
-3, -1, 0, 2
Let v be (-3)/((-24)/160)*(-132)/(-15). Let g be 1*3 - v/88. Suppose -g + 1/5*t**3 + 11/5*t - 7/5*t**2 = 0. Calculate t.
1, 5
Let g be 1*(-15 + 10/2). Let j be 0 - 1 - (-1)/g*-12. Factor -j*t**2 + 4/5 + 3/5*t.
-(t - 4)*(t + 1)/5
Let o(s) be the first derivative of s**6/10 - 39*s**5/20 + 23*s**4/4 - 11*s**3/2 + 13*s + 31. Let f(w) be the first derivative of o(w). Factor f(c).
3*c*(c - 11)*(c - 1)**2
Let v(h) be the third derivative of -h**7/105 + 4*h**6/5 - 70*h**5/3 + 200*h**4 + 8000*h**3/3 - 14*h**2 - 65. Determine x, given that v(x) = 0.
-2, 10, 20
Let i be (-3*(-15)/27)/((-4270)/(-334768)). Factor -2/3*h**2 - i - 56/3*h.
-2*(h + 14)**2/3
Let c(y) = -y**2 + 5*y + 28. Let s be c(6). Let w be s/44*(2 - 10/8). What is q in 0 + 15/4*q - w*q**2 = 0?
0, 10
Let t(p) be the first derivative of -p**5/30 - 4*p**4/3 - 55*p**3/6 - 119*p**2/6 - 52*p/3 - 2921. Let t(b) = 0. What is b?
-26, -4, -1
Let y be (-22)/18 + 2 + (-82)/(-369). Let v be 4*y/((-48)/(-18)). Factor -12*z**3 + 45/2*z**2 - 24 + v*z**4 + 12*z.
3*(z - 4)**2*(z - 1)*(z + 1)/2
Let j(f) be the second derivative of f**3/2 + 183*f**2 + 20*f. Let p be j(0). Factor -4*c**3 + 65*c**2 + p + 892 - 432*c - 394 + 7*c**2.
-4*(c - 6)**3
Let m(t) be the third derivative of 0 - 1/30*t**6 + 0*t - 5/3*t**4 - 100/21*t**3 - 52*t**2 - 23/70*t**5 - 1/735*t**7. Factor m(r).
-2*(r + 2)**2*(r + 5)**2/7
Let w(o) = 5*o**3 - o**2 - 6*o + 6. Let y be w(1). Solve y*p**2 - 3*p + 1452*p**4 + 14*p**3 - 1444*p**4 + p = 0.
-1, 0, 1/4
Let c = 3734 - 123214/33. Let p(q) be the second derivative of 10*q - c*q**3 + 0 - 1/66*q**4 - 16/11*q**2. Factor p(l).
-2*(l + 4)**2/11
Let f be (52/91 - (-5)/28)/((-132)/(-512)). Determine a, given that -8/11 - f*a - 2/11*a**2 + 10/11*a**4 - 50/11*a**5 + 82/11*a**3 = 0.
-1, -2/5, 1
Let s(x) be the first derivative of 7*x**6/27 - 344*x**5/15 + 5204*x**4/9 - 21836*x**3/9 + 15505*x**2/9 + 4900*x/3 + 9216. What is l in s(l) = 0?
-2/7, 1, 3, 35
Let l(h) be the third derivative of -1/160*h**5 + 0*h - 1/4*h**3 + 5/64*h**4 + 6*h**2 - 3. Let l(g) = 0. What is g?
1, 4
Let g(z) be the third derivative of -8/3*z**3 + 1/15*z**5 + 0*z**7 - 7/60*z**6 + 140*z**2 + 1/168*z**8 + 0 + z**4 + 0*z. Determine f so that g(f) = 0.
-2, 1, 2
Suppose -1/2*c**3 - 21/2*c**2 - 210 + 128*c = 0. What is c?
-30, 2, 7
Let i be (12 + -16)/(2/(-112)). Factor 222*a**3 + a + 2*a - i*a**3 + 11*a - 16*a**2 + 4*a**2.
-2*a*(a - 1)*(a + 7)
Solve 162*s**2 - 8*s**3 - 11140*s + 144*s**2 + 11064*s = 0 for s.
0, 1/4, 38
Let l(m) be the second derivative of m**6/15 + 2*m**5/5 - 7*m**4/6 - 10*m**3/3 + m - 201. Factor l(x).
2*x*(x - 2)*(x + 1)*(x + 5)
Let h = -622 - -1520. Suppose -4*i - h = -2*w + 584, -736 = -w + 3*i. Find c such that w - 104 + 432*c + 25*c**2 + 47*c**2 + 217 + 4*c**3 = 0.
-6
Let z(i) be the second derivative of i**7/10080 - 29*i**6/2880 - i**5/16 - i**4/12 + 29*i**2/2 - 165*i. Let l(c) be the third derivative of z(c). Factor l(q).
(q - 30)*(q + 1)/4
Let a(c) be the third derivative of -c**6/360 + 28*c**5/9 + 563*c**4/18 + 376*c**3/3 + 9790*c**2. Let a(r) = 0. Calculate r.
-2, 564
Let q = 535367 + -535364. Solve 0 + 32/3*c**2 - 256/3*c - 1/3*c**q = 0.
0, 16
Let o(b) = -41*b**3 + 6544*b**2 - 2616*b. Let n(m) = -54*m**3 + 6543*m**2 - 2616*m. Let h(y) = -2*n(y) + 3*o(y). Factor h(u).
-3*u*(u - 436)*(5*u - 2)
Factor 1/2*j**4 - 1285/2*j**2 + 0 + 641/2*j**3 + 643/2*j.
j*(j - 1)**2*(j + 643)/2
Let u be (-22103)/(-155) - (-7)/5. Determine b, given that -4*b**4 + 2*b**2 + 145*b**3 - u*b**3 + 3*b**4 = 0.
-1, 0, 2
What is k in 67/3*k**3 + 3*k**4 - 22*k - 1/3*k**5 + 47/3*k**2 - 56/3 = 0?
-4, -1, 1, 14
Let v(k) be the second derivative of 4/5*k**5 + 0*k**2 - 57*k + 0 - 5/3*k**4 + 2/3*k**3. Find z such that v(z) = 0.
0, 1/4, 1
Let h(u) be the second derivative of -6/5*u**3 - 3/100*u**5 - 12/5*u**2 + u + 13 - 3/10*u**4. Factor h(w).
-3*(w + 2)**3/5
Let d(n) = 35*n**4 - 85*n**3 - 970*n**2 + 945*n - 15. Let f(g) = 2*g**4 - 4*g**3 - 2*g**2 - g - 1. Let s(p) = d(p) - 15*f(p). Determine o so that s(o) = 0.
-12, 0, 1, 16
Let z(y) be the second derivative of y**7/1260 - 7*y**6/120 + y**5/3 - 55*y**4/4 - y - 79. Let h(t) be the third derivative of z(t). Factor h(k).
2*(k - 20)*(k - 1)
Let p(z) be the first derivative of -z**3 - 1101*z**2/2 + 797. Suppose p(s) = 0. What is s?
-367, 0
Let r(d) = 3*d**2 + 608*d + 92388. Let q(h) = -13*h**2 - 2432*h - 369538. Let a(x) = 2*q(x) + 9*r(x). Solve a(g) = 0 for g.
-304
Suppose -v - 5*l + 20 = 0, 20 = 46*v - 50*v + 5*l. Let m(s) be the first derivative of 1/6*s**6 - 3/4*s**4 + v*s + 1/3*s**3 - 1/5*s**5 + s**2 + 1. Factor m(r).
r*(r - 2)*(r - 1)*(r + 1)**2
Let z(j) be the third derivative of j**5/210 + 9*j**4 + 6804*j**3 - 6316*j**2. Factor z(k).
2*(k + 378)**2/7
Let f(x) be the second derivative of x**4/60 - 8*x**3/15 + 14*x**2/5 + 2*x + 77. Factor f(n).
(n - 14)*(n - 2)/5
Let z(l) be the second derivative of l**4/16 + l**3 + 6*l**2 - 25*l + 3. Determine b so that z(b) = 0.
-4
Suppose 0 = 12*o - 1441 + 1417. Let c be ((-9)/o - 2) + -2 + 9. What is n in 0 + 0*n**2 - c*n**3 + 1/2*n = 0?
-1, 0, 1
Let d = 364467 + -1822333/5. Let 136/5*z - 2312/5 - d*z**2 = 0. What is z?
34
Let f(i) = i**2 + 11*i + 2. Let o be f(-11). Find z such that 16*z**4 + 105*z**2 - 9*z - 8 + 53*z - 4*z**3 - 153*z**