**5 + 5*a**2 + 0 - d*a**4 + 1/12*a**3. Factor f(k).
(k - 1)**2/2
Let g(s) be the third derivative of -7/156*s**4 + 0*s**5 - s + 1/780*s**6 + 0 - 2/13*s**3 + 2*s**2. Suppose g(q) = 0. Calculate q.
-2, -1, 3
Let v(u) = -12*u - 17. Let k be v(-4). Let r = 36 - k. Let 4/3*p**2 - 4/3*p**4 + 0 - 4/3*p**r + 0*p + 4/3*p**3 = 0. What is p?
-1, 0, 1
Let c = 37 + -34. Factor 6*b**2 - 18/5*b**c - 9/5*b**4 + 63/5*b + 27/5 + 3/5*b**5.
3*(b - 3)**2*(b + 1)**3/5
Let x = 18 + 62. Let x*f**2 + 3 + 20*f + 35*f**3 + 2 - 5 = 0. Calculate f.
-2, -2/7, 0
Let c = 78473/4 - 19786. Let y = -167 - c. What is g in -y*g - 1/4*g**3 - 3/4*g**2 - 1/4 = 0?
-1
Let k(s) be the third derivative of -s**6/420 + s**5/3 - 131*s**4/28 + 192*s**3/7 - 458*s**2. Let k(o) = 0. Calculate o.
3, 64
Let p(c) be the third derivative of -c**5/160 + 79*c**4/32 - 6241*c**3/16 - 423*c**2. Determine z, given that p(z) = 0.
79
Let y(p) = -p**3 + 8*p**2 - 5*p - 7. Let l be y(7). Find h, given that 4*h**2 + l*h + 23*h - 75 - 7*h**2 = 0.
5
Let y be -1 + 4 + (-1 - -1). Factor q**2 - 320*q**4 + 160*q**4 - q**y + q**5 + 159*q**4.
q**2*(q - 1)**2*(q + 1)
Let p be ((-5)/12)/((-45)/72). Let b(r) be the first derivative of -16/9*r**3 - p*r - 10 - 5/3*r**2 - 2/3*r**4. Find h such that b(h) = 0.
-1, -1/2
Suppose 0 = h - 4*h + 255. Factor -5 - 167*a**4 + 10*a - 10*a**3 + h*a**4 + 87*a**4.
5*(a - 1)**3*(a + 1)
Let f be (-7 - -3)/(-1) + 2 + -3. Let 3*h**f - 6*h**5 - 57 - 3*h**4 + 57 + 3*h**2 + 3*h**3 = 0. What is h?
-1, -1/2, 0, 1
Factor -2 + 3*t**4 - 59*t - 4 + 17*t + 17*t + 16*t + 9*t**3 + 3*t**2.
3*(t - 1)*(t + 1)**2*(t + 2)
Let y(m) = -m**3 + 5*m**2 - m - 9. Let a be y(4). Let b(n) be the first derivative of -a*n + n**2 + 3 - 1/9*n**3. Let b(r) = 0. Calculate r.
3
Let n(a) be the second derivative of a**4/42 + 4*a**3/7 + 3*a - 12. Factor n(v).
2*v*(v + 12)/7
Let z(u) = 21*u + 24. Let y be z(4). Let s be (-4*(-2)/y)/(3/18). Factor 0 - s*c + 0*c**3 + 2/9*c**4 - 2/3*c**2.
2*c*(c - 2)*(c + 1)**2/9
Let g(s) = s + 7. Let l be g(-13). Let y(t) = -8*t**2 + 6*t. Let m(o) = o**2 - o. Let d(h) = l*m(h) - y(h). What is r in d(r) = 0?
0
Let v be ((-16)/20)/(2/(-5)). Let u be ((-5)/v)/(2/(-4)). Factor -u*x**2 + x**2 - 4*x**3 + 71*x - 67*x + 4.
-4*(x - 1)*(x + 1)**2
Let d be (3 - (-1 + 0 + 4))/(-2). Let z be -2 + 3 + d + (-12)/15. Factor -z*m**3 - 2/5*m**2 + 0*m + 0.
-m**2*(m + 2)/5
Suppose o - 5*o = -4*u - 12, 0 = 2*o + 4*u + 12. Let b(k) be the first derivative of 3/4*k**4 - 1/5*k**5 + o*k**3 + 0*k - 2*k**2 - 5. Factor b(z).
-z*(z - 2)**2*(z + 1)
Let l(h) be the third derivative of -h**5/150 - h**4/90 + 517*h**2. Factor l(z).
-2*z*(3*z + 2)/15
Let d be (-2)/(-5) + 78/30. Suppose t + d*t = 16. What is f in -8*f**3 - 6 + 2*f**3 - 3*f**t + 6 - 3*f**2 = 0?
-1, 0
Let t(v) = -v + 15. Let f be t(12). Let -8*i**2 + 8*i + i**f + 13*i**2 - 4 - 10*i**2 = 0. What is i?
1, 2
Let l(h) be the first derivative of -h**6/24 + h**4/8 - h**2/8 - 290. Let l(c) = 0. Calculate c.
-1, 0, 1
Let p be 10/(-36) + (40/16)/5. Let i(g) be the third derivative of 0*g - 1/945*g**7 - 11/135*g**5 - 1/3*g**3 - 2/135*g**6 + 0 - p*g**4 + 6*g**2. Factor i(h).
-2*(h + 1)**2*(h + 3)**2/9
Suppose -2*a = 47 - 47. Let s(u) be the third derivative of 0*u**3 + u**2 - 1/108*u**4 + 0*u + a + 1/135*u**5. Determine t, given that s(t) = 0.
0, 1/2
Let s(l) be the first derivative of 40 - 3*l**2 + 1/6*l**3 + 11/2*l. Find w such that s(w) = 0.
1, 11
Let k(c) be the first derivative of c**6/9 - 46*c**5/45 + 37*c**4/18 + 26*c**3/9 - 40*c**2/9 - 32*c/9 - 9. Let k(t) = 0. Calculate t.
-1, -1/3, 1, 4
Let b(y) be the first derivative of 4 + 1/9*y**3 - 1/3*y + 1/6*y**2 - 1/12*y**4. Factor b(z).
-(z - 1)**2*(z + 1)/3
Let s be (10/35)/1 - 1170/(-21). Let o be s/(-16)*(-24)/147. Suppose o*r**2 + 0 - 8/7*r**4 + 0*r - 4/7*r**3 = 0. Calculate r.
-1, 0, 1/2
Let d be (3*1)/(5/40). Suppose -3*m + d = -48. Solve m - 6*g**2 - 12*g - g**3 - 2*g**3 + 6*g**3 = 0 for g.
-2, 2
Suppose 3*n + 572 - 581 = 0. Solve -2/3*c**5 + 2/3*c**n + 0*c + 0*c**4 + 0*c**2 + 0 = 0 for c.
-1, 0, 1
Let t(z) be the third derivative of 1/15*z**6 + 43/90*z**5 + 2/3*z**4 + 0 + 4/9*z**3 + 0*z - 10*z**2 - 4/63*z**7. Let t(a) = 0. Calculate a.
-1/2, -2/5, 2
Let r = -1094 + 1098. Let a(d) be the first derivative of -4/5*d**2 - 17/10*d**r + 32/15*d**3 + 8 + 2/5*d**5 + 0*d. Suppose a(b) = 0. Calculate b.
0, 2/5, 1, 2
Let w be (1128/(-140) + 8)*5*-7. Find p, given that -4/3*p + 8/3 - 4/3*p**w = 0.
-2, 1
Suppose 9*c - 25 = 4*c. Suppose -4*l + 2*l + 3*h + 6 = 0, 2*l - c*h - 10 = 0. Factor l - 2/3*g + 1/3*g**3 - 1/3*g**2.
g*(g - 2)*(g + 1)/3
Let j = -27/515 - -26/103. Factor -3/5*o + 3/5*o**4 - 2/5*o**2 - j + 2/5*o**3 + 1/5*o**5.
(o - 1)*(o + 1)**4/5
Let t = -28895/4 - -7224. Factor 1/4*h**3 + t*h**2 + 0 + 0*h.
h**2*(h + 1)/4
Determine c so that -1124*c**3 + 144*c + 566*c**3 + 560*c**3 + 30*c**2 + 216 = 0.
-6, -3
Let t = 463/2 - 231. Let p(v) be the third derivative of 0*v - 2/35*v**7 - 1/8*v**6 - 4*v**2 + t*v**3 + 0 + 3/20*v**5 + 5/8*v**4. Solve p(g) = 0 for g.
-1, -1/4, 1
Let w(p) be the third derivative of -p**8/171360 + p**6/6120 + p**5/6 - 13*p**2. Let j(m) be the third derivative of w(m). Solve j(y) = 0 for y.
-1, 1
Suppose -71 + 12 = -2*x + 5*y, 3*x = -y + 97. Suppose -3*a + 2*n - 1 = -2*a, -4*n = 4*a - x. Solve -65 + a*k**4 + 3*k**3 - 2*k**4 + 65 = 0 for k.
-1, 0
Suppose -4*d + 4 = -4*t + 20, -5*d = 4*t + 2. Suppose -4*r**3 + 6*r**4 - 16*r**4 + 8*r - t*r**4 - 4*r**5 + 12*r**2 = 0. Calculate r.
-2, -1, 0, 1
Let m be (-94)/(-120) + (-39)/156. Suppose m + 8/3*r + 10/3*r**2 = 0. What is r?
-2/5
Factor 60 - 34/3*r - 2/3*r**3 - 8*r**2.
-2*(r - 2)*(r + 5)*(r + 9)/3
Let f(v) be the second derivative of v**4/9 - 14*v**3 + 244*v**2/3 - 4*v + 1. Factor f(g).
4*(g - 61)*(g - 2)/3
Factor -1/4*t**2 + 45/2 + 43/4*t.
-(t - 45)*(t + 2)/4
Let t(n) be the third derivative of -n**7/504 + n**5/24 - n**4/3 + 10*n**2. Let d(y) be the second derivative of t(y). Suppose d(u) = 0. Calculate u.
-1, 1
Let z = -3602/5 + 721. Let y be 0 - -2 - 0 - 0. What is b in -z + 2/5*b + 1/5*b**y = 0?
-3, 1
Let x = 41545/6 + -6924. Let h be (-7)/(-3) - (-1)/(-3). Factor 0 + 1/6*o + x*o**h.
o*(o + 1)/6
Let i be 2/((-4)/(-6))*72/54. Let s(a) be the third derivative of 1/40*a**6 + 0*a**i - 6*a**2 + 0 - 1/10*a**5 + 1/70*a**7 + 0*a + 0*a**3. Factor s(b).
3*b**2*(b - 1)*(b + 2)
Let 0*g + 0 - 4/3*g**2 = 0. What is g?
0
Let m(s) be the second derivative of -11*s + 0 + 0*s**3 - 1/120*s**4 + 0*s**2. Factor m(v).
-v**2/10
Let b(g) be the third derivative of -g**8/6720 + g**7/2520 + g**6/144 + g**5/40 - 9*g**4/8 - 33*g**2. Let h(i) be the second derivative of b(i). Factor h(u).
-(u - 3)*(u + 1)**2
Let x(m) be the first derivative of -m**4/54 + m**3/27 + 2*m**2/9 - 40*m - 18. Let l(a) be the first derivative of x(a). Factor l(h).
-2*(h - 2)*(h + 1)/9
Let o(u) = 29*u**3 + 3*u**2 - 9*u + 13. Let c(m) = 5*m**3 - m**2 + m + 1. Let j(t) = -6*c(t) + o(t). Factor j(q).
-(q - 7)*(q - 1)**2
Let a = 29930 - 29921. What is r in 51/4*r**2 - 45/4*r**5 + 177/4*r**4 - 3 + a*r - 207/4*r**3 = 0?
-2/5, 1/3, 1, 2
Let g(n) be the second derivative of n**5/5 + 5*n**4/3 + 14*n**3/3 + 6*n**2 + 40*n. Suppose g(b) = 0. Calculate b.
-3, -1
Suppose -6 - 12 + 26 + 40 + 4 + 54*u + 2*u**2 = 0. What is u?
-26, -1
Let d = -129 - -129. Let c(l) = 2*l + 3. Let w be c(d). Let -2/7*o + 4/7 + 2/7*o**w - 4/7*o**2 = 0. What is o?
-1, 1, 2
Let a(v) be the first derivative of -v**6/120 + v**5/40 + 11*v + 28. Let m(c) be the first derivative of a(c). Solve m(z) = 0.
0, 2
Factor 0*y**2 + 0*y**2 + 361 - 5*y**2 + 6*y**2 - 38*y.
(y - 19)**2
Let b be (-480)/(-150) + 48/60. What is o in 0 + 4/5*o**5 - 4*o**3 + 0*o - 4/5*o**b - 12/5*o**2 = 0?
-1, 0, 3
Let o(q) be the third derivative of q**6/200 - 7*q**5/100 + 3*q**4/20 - 31*q**2 + 2. Find g such that o(g) = 0.
0, 1, 6
Let c(s) = -5*s + 141*s**2 - 15 + 14*s - 142*s**2 + 10*s. Let l be c(18). Factor l + 1/3*n**2 - 2*n.
(n - 3)**2/3
Suppose 30 = -9*y + 19*y. Let s be (-13)/(-21) - y/9. Factor s*m**2 + 4/7*m + 2/7.
2*(m + 1)**2/7
Let i(t) be the third derivative of -2*t**5/195 + 173*t**4/156 - 43*t**3/39 - 569*t**2. Factor i(h).
-2*(h - 43)*(4*h - 1)/13
Factor 0 + 55778/3*x + 668/3*x**2 + 2/3*x**3.
2*x*(x + 167)**2/3
Let -2/9*b**2 - 70/9*b + 8 = 0. What is b?
-36, 1
Solve 