64)/(-1680)*55 + -2)*(-2 - -5). Factor -x*j + 1/7*j**2 - 3/7.
(j - 3)*(j + 1)/7
Let w(s) be the third derivative of s**7/840 - 17*s**6/240 - 71*s**5/240 - 3*s**4/8 + s**2 + 409*s. Solve w(u) = 0 for u.
-1, 0, 36
Let f(o) be the first derivative of -2*o**5/5 + 11*o**4/14 + 110*o**3/21 + 7*o**2 + 24*o/7 + 268. Let f(c) = 0. What is c?
-1, -3/7, 4
Let k(q) be the second derivative of 1/10*q**6 - 48*q**2 - 25*q**3 - 3 - 3/4*q**4 + 12/5*q**5 + 18*q. Factor k(s).
3*(s - 2)*(s + 1)**2*(s + 16)
Let w(o) = 2*o**4 + 126*o**3 - 128*o**2 - 126*o + 126. Let c(n) = 2*n**4 - 2*n**3 - n**2 + 2*n - 1. Let a(r) = -2*c(r) + w(r). Find b such that a(b) = 0.
-1, 1, 64
Let j(a) be the first derivative of -a**4/32 - 31*a**3/24 + 581*a**2/16 - 2205*a/8 + 4056. Determine h, given that j(h) = 0.
-45, 7
Let c be 1130/4 + (-33)/66. Suppose -4*l - 2*l + 30 = 0. What is i in -2*i + 15*i**4 - 6*i**3 + 11*i + 27 - 285*i**l - 42*i**2 + c*i**5 = 0?
-1, 1, 3
Let p(z) be the third derivative of -z**5/140 - 59*z**4/56 - 380*z**3/7 - 1288*z**2 - 2*z. Let p(h) = 0. Calculate h.
-40, -19
Suppose 3*x - 10516 = 25*x. Let q = x - -2482/5. Factor q*h**2 + 0 + 24/5*h + 28/5*h**3.
4*h*(h + 3)*(7*h + 2)/5
Let l = 4240 - 4237. Let b(k) be the second derivative of -10*k + 0 - 1/48*k**4 + 0*k**2 + 0*k**l. Determine a so that b(a) = 0.
0
Let w = -18501 + 18505. Let y(f) be the first derivative of -45 - 7*f**w - 2/3*f**6 + 4*f**5 - 4/3*f**3 + 16*f**2 - 16*f. Find v, given that y(v) = 0.
-1, 1, 2
Let l(b) be the second derivative of 11*b**7/147 - 2*b**6/5 - 41*b**5/70 + 32*b**4/7 + 12*b**3/7 - 3*b + 637. Let l(h) = 0. Calculate h.
-2, -2/11, 0, 3
Let n(y) be the second derivative of -y**4/42 + 44*y**3/21 + 741*y**2/7 + 5449*y. Let n(w) = 0. Calculate w.
-13, 57
Let d be 1*(-4 - -2) + 5. Let f(a) = 26*a - d*a**2 + 7 - 26*a. Let q(g) = -6*g**2 + 15. Let v(l) = -9*f(l) + 4*q(l). Suppose v(s) = 0. What is s?
-1, 1
Suppose -45 = -14*p - 3. Solve 0 - 2 - 63*d**p + 61*d**3 + 2*d**4 + 2 = 0.
0, 1
Let r(y) be the first derivative of 65/2*y**2 - 30*y + 5/4*y**4 - 40/3*y**3 + 40. Factor r(u).
5*(u - 6)*(u - 1)**2
Factor -87/4 + 21*z + 3/4*z**2.
3*(z - 1)*(z + 29)/4
Let l(w) be the first derivative of -w**5/5 + w**3/3 + w**2/2 + 2*w - 78. Let j(u) = 2*u**5 - 2*u**3 + 2*u + 4. Let k(r) = j(r) - 2*l(r). What is v in k(v) = 0?
-1, 0, 1
Let g(i) = -8*i**3 + 336*i**2 - 9412*i + 87804. Let d(b) = -b**3 - b - 1. Suppose 27*f = -15 - 12. Let j(y) = f*g(y) + 4*d(y). Factor j(u).
4*(u - 28)**3
Let i(g) be the second derivative of -g**7/84 - 11*g**6/60 + 13*g**5/40 + 11*g**4/24 - g**3 + 2617*g. Solve i(z) = 0 for z.
-12, -1, 0, 1
Let h(r) be the third derivative of 5*r**7/1596 + r**6/342 + r**5/1140 - 7*r**3 - 16*r**2. Let p(q) be the first derivative of h(q). Factor p(z).
2*z*(5*z + 1)**2/19
Factor 189 + 639/5*s + 1/5*s**3 + 111/5*s**2.
(s + 3)**2*(s + 105)/5
Let f(o) be the first derivative of -26 - 3/11*o**4 - 2/33*o**3 + 0*o + 2/33*o**6 + 2/11*o**2 - 2/55*o**5. Suppose f(a) = 0. What is a?
-1, 0, 1/2, 2
What is m in -76/5*m**5 + 2868/5*m - 88 + 792*m**4 + 11168/5*m**2 + 11896/5*m**3 = 0?
-1, 2/19, 55
Suppose l + v - 6 = 0, -36 = -6*l + 4*l - 6*v. Let i(p) be the first derivative of 0*p**2 + 4/5*p**5 + 10 + l*p + 4/3*p**3 + 2*p**4. Solve i(s) = 0 for s.
-1, 0
Let x be 63/6*(207/252)/23. Let w(z) be the third derivative of -1/240*z**5 + 9*z**2 + 1/16*z**4 + 0 - x*z**3 + 0*z. Factor w(a).
-(a - 3)**2/4
Let r(q) be the first derivative of q**6/1800 + 3*q**5/200 + 7*q**3 + 32. Let m(w) be the third derivative of r(w). Suppose m(c) = 0. What is c?
-9, 0
Let p be (-61 - -65) + 232/(-60). Determine y, given that 22/15*y - p*y**2 - 12/5 = 0.
2, 9
Let n(c) be the third derivative of 0 - 43/84*c**4 + 5*c + 2*c**3 - 27*c**2 + 1/210*c**5. Suppose n(z) = 0. Calculate z.
1, 42
Suppose 2999*h - 1560 = 4438. Factor 0*f**h + 1/3*f**4 + 0 + 4*f**3 + 0*f - 1/3*f**5.
-f**3*(f - 4)*(f + 3)/3
Let b be (-325475)/(-14875) + -21 + 22/(-385). Solve -2/17*x**3 + 26/17*x - b - 10/17*x**2 = 0 for x.
-7, 1
Let q = -6 - -8. Suppose -45*m + 3*p = -46*m + 6, p - 7 = -q*m. Factor 1/4*o**5 + o - 1/2*o**4 - 3/4*o**m + o**2 + 0.
o*(o - 2)**2*(o + 1)**2/4
Let b(v) be the second derivative of -v**6/6 - 5*v**5/4 + 5*v**4 - 25*v**3/6 - 20*v**2 - 2*v - 37. Let w(n) be the first derivative of b(n). Factor w(s).
-5*(s - 1)*(s + 5)*(4*s - 1)
Let w(l) be the first derivative of 4*l**3/15 + 28*l**2/5 - 12*l + 580. Factor w(c).
4*(c - 1)*(c + 15)/5
Suppose 3*q = -a + 40 + 276, q = 5*a - 1644. Let g = 331 - a. Factor -4/3*j - 4/9*j**g + 4/9 + 4/3*j**2.
-4*(j - 1)**3/9
Let h(a) be the first derivative of -4*a**3/21 - 18*a**2 + 6232*a/7 - 3175. Factor h(t).
-4*(t - 19)*(t + 82)/7
Let i = 69 - 66. Let 2*h**2 - 12*h**3 - h + 4*h**5 + 4*h**4 + 0*h**i - 22*h**2 - 7*h = 0. What is h?
-1, 0, 2
Let k = 187/126 + 1/63. Let t be ((-33)/(-6))/(2915/2385). Factor k*w**2 + 3 - t*w.
3*(w - 2)*(w - 1)/2
Factor 15/2*t**2 + 3965*t + 2640.
5*(t + 528)*(3*t + 2)/2
Let k(r) be the second derivative of 0*r**2 - 7*r + 5/2*r**4 + 9 + 34/3*r**3 - 1/10*r**5. Factor k(s).
-2*s*(s - 17)*(s + 2)
Let h = -590148/7 - -84316. Find o such that -364*o**3 + 208/7*o + h + 98*o**4 - 120*o**2 = 0.
-2/7, 2/7, 4
Let q(u) = -u**2 + 47*u - 128. Let z be q(44). Find w, given that -234 + 31*w - z*w**2 + 7 - 101*w - w**2 - 18 = 0.
-7
Solve 74/5*q**4 + 12 - 374/5*q**2 + 142/5*q + 18*q**3 + 8/5*q**5 = 0 for q.
-6, -5, -1/4, 1
Let z(o) be the third derivative of o**7/420 - 29*o**6/80 - o**5/40 + 259*o**4/48 + 29*o**3/2 - 1151*o**2 + 3*o. Solve z(k) = 0.
-1, 2, 87
What is f in 383 - 142*f**2 - 395*f - 1083 + 87*f**2 = 0?
-4, -35/11
Suppose -980*h + 981*h = 2. Factor 124*w**h - 4*w**3 - 63*w**2 - 43*w**2.
-2*w**2*(2*w - 9)
Suppose 112*v**4 - 1660*v + 115*v**4 + 15*v**3 + 525*v**2 + 105*v**4 - 337*v**4 - 1035*v = 0. Calculate v.
-11, 0, 7
Suppose 64*r - 4/3*r**2 - 336 = 0. Calculate r.
6, 42
Let i(a) be the first derivative of -2*a**3/21 - 27*a**2/7 - 220*a/7 + 15710. Let i(m) = 0. Calculate m.
-22, -5
Let n(x) be the second derivative of 7*x**5/10 + x**4/6 - 80*x**3/3 - 108*x**2 + 8229*x. Find a such that n(a) = 0.
-2, 27/7
Let k be ((0 - -1)/(48/16))/1. Factor -k*n**4 - n**3 + 0 + 1/3*n**2 + 1/3*n**5 + 2/3*n.
n*(n - 2)*(n - 1)*(n + 1)**2/3
Let p(c) be the second derivative of -8/7*c**2 - 23/14*c**4 + 2*c**3 + 31*c + 0 + 2/5*c**5 + 4/35*c**6. What is f in p(f) = 0?
-4, 1/2, 2/3
Let z(n) be the second derivative of 3*n**5/20 + 327*n**4/2 + 106929*n**3/2 + 1579*n. Factor z(b).
3*b*(b + 327)**2
Let q(k) be the second derivative of -125*k**7/7 - 205*k**6/3 + 341*k**5/2 - 249*k**4/2 + 130*k**3/3 - 8*k**2 + 4*k - 28. Suppose q(c) = 0. What is c?
-4, 1/5, 2/3
Factor 248*l**3 + 36*l**2 + 112 - 129*l**3 - 30*l - 121*l**3 - 90*l.
-2*(l - 14)*(l - 2)**2
Suppose -2*s + 8 = -4*k, k = -2 + 1. Let y(c) = -2*c - 4. Let t be y(-3). Factor 4*b - 30*b**t + 29*b**2 - s*b.
-b*(b - 2)
Factor -3/2*v**2 - 936150 + 2370*v.
-3*(v - 790)**2/2
Suppose t - 1 = 0, 5*f = 2*t + 14 + 9. What is w in 10*w**3 - 8 + 26*w**4 + 24*w**3 - 1145*w**f - 16*w + 1151*w**5 + 6*w**2 = 0?
-2, -1, 2/3
Let g(l) be the third derivative of 4/9*l**3 - 1/50*l**5 - 1/15*l**4 - l + 1/900*l**6 - 26*l**2 + 0. Determine o so that g(o) = 0.
-2, 1, 10
Let c = 15 - 24. Let l = c - -13. Factor 24*o**4 - 23*o**4 + 8*o**2 + 4*o**3 + l*o + o**3.
o*(o + 1)*(o + 2)**2
Suppose 31*p - 173 = -18. Let s(r) be the third derivative of 0*r + 1/48*r**4 + 20*r**2 - 1/60*r**p + 1/8*r**3 + 0 - 1/240*r**6 + 1/840*r**7. Factor s(n).
(n - 3)*(n - 1)*(n + 1)**2/4
Let g = -1161 - -1165. Suppose 0 = -9*q + g*q + 10. Factor -5/4*w**4 + 0 + 5/4*w**3 - 5/4*w + 5/4*w**q.
-5*w*(w - 1)**2*(w + 1)/4
Let b(f) be the third derivative of f**5/30 + 401*f**4/3 + 643204*f**3/3 + 188*f**2. Solve b(r) = 0.
-802
Let f(g) be the third derivative of -g**5/180 + g**4/3 - 64*g**3/9 + 102*g**2 + 21. Factor f(r).
-(r - 16)*(r - 8)/3
Factor -115*m - 51*m**2 + 1/4*m**4 + 0 + 15/4*m**3.
m*(m - 10)*(m + 2)*(m + 23)/4
Let p(s) = 21*s**3 - 3716*s**2 - 178*s + 177. Let u be p(177). Let z(w) be the third derivative of 1/8*w**4 + 0 - w**2 + u*w + 0*w**3 - 1/20*w**5. Factor z(d).
-3*d*(d - 1)
Let a be 3 - (-5)/135*-75 - 12/54. Let m(c) be the second derivative of -1/4*c**4 + 1/30*c**6 - 7*c + a + 3/20*c**5 - 7/6*c**3 + 3