 2)*(x + 8)/3
What is w in 8*w**2 - 458/3*w + 1300/9 + 2/9*w**3 = 0?
-50, 1, 13
Let a(o) be the third derivative of o**8/1176 - 22*o**7/735 - 47*o**6/420 - 4*o**5/35 - 1340*o**2. Let a(s) = 0. Calculate s.
-1, 0, 24
Find p, given that -4/7*p**3 - 10*p**2 + 36/7 + 38/7*p = 0.
-18, -1/2, 1
Let u(t) = t**4. Let m(p) = -37*p**4 + 13*p**4 + 308*p + 18*p**4 - 177*p**2 + 44*p**3 - 196. Let d(l) = 5*m(l) + 10*u(l). Find q, given that d(q) = 0.
2, 7/2
Let n(v) = -28*v**4 - 1086*v**3 + 2193*v**2 - 1079*v. Let s(g) = 6*g**4 + 272*g**3 - 548*g**2 + 270*g. Let w(m) = 4*n(m) + 18*s(m). Factor w(r).
-4*r*(r - 136)*(r - 1)**2
Let -88*u - 240 - 23*u**5 + 10*u**5 - 14*u**5 + 867*u**2 - 327*u**2 - 260*u - 120*u**4 + 195*u**3 = 0. Calculate u.
-5, -2, -4/9, 1, 2
Let q(s) = 3*s**3 + 176*s**2 - 745*s - 28. Let z be q(4). Let 18/7*w - 6/7*w**3 - 12/7 + z*w**2 = 0. What is w?
-2, 1
Let l be (7 + -7)/3 + 2. Suppose -3*t - l*t = t. Factor 0*n**2 + 0 + 0*n - 1/4*n**4 + t*n**3.
-n**4/4
Let r(j) be the third derivative of j**5/10 - 13*j**4/24 + j**2 - 9*j. Let n(h) = h**2 - h - 1. Let b(t) = 28*n(t) - 4*r(t). Solve b(a) = 0 for a.
-7, 1
Let b(a) be the second derivative of a**8/840 - a**7/60 + a**6/18 + 2*a**3/3 - 3*a**2 + 36*a + 2. Let f(y) be the second derivative of b(y). Factor f(i).
2*i**2*(i - 5)*(i - 2)
Let y(c) be the second derivative of 0 + 5/4*c**4 - 15/2*c**2 + 1/6*c**3 - 1/20*c**5 + 23*c. Factor y(h).
-(h - 15)*(h - 1)*(h + 1)
Let -99/4*d + 345/2 + 3/4*d**2 = 0. Calculate d.
10, 23
Let r = 21437 + -21434. Let i(c) be the second derivative of 0*c**2 + 1/114*c**4 - 1/19*c**r - 19*c + 0. Factor i(k).
2*k*(k - 3)/19
Let r = 2327276/9 - 258586. Factor -8/9*v + 0 + r*v**3 + 2/3*v**2.
2*v*(v - 1)*(v + 4)/9
Let q(c) be the first derivative of -c**6/12 + 7*c**5/10 + 19*c**4/4 + 31*c**3/3 + 43*c**2/4 + 11*c/2 - 451. Determine h so that q(h) = 0.
-1, 11
Let w(h) be the third derivative of -1/105*h**7 - 3/5*h**5 + 7/60*h**6 - h**2 + 13 + 5/3*h**4 + 0*h - 8/3*h**3. Solve w(f) = 0 for f.
1, 2
Let f(m) be the second derivative of -m**4/24 - 17*m**3/4 + 81*m**2/2 + 3446*m. Solve f(d) = 0 for d.
-54, 3
Let y be 65*(497/21 + -10). Let f = -883 + y. Factor 20/3*z**2 - 4/3*z**3 - 32/3*z + f.
-4*(z - 2)**2*(z - 1)/3
Let c(v) = -5*v**2 + 7*v. Let d be c(1). Let s(u) be the third derivative of 0*u - 1/105*u**5 - 23*u**d - 1/84*u**4 + 0 - 1/420*u**6 + 0*u**3. Factor s(k).
-2*k*(k + 1)**2/7
Let g be 5/(-7) + 32734/8813. Factor 1/3*b - 1/3*b**g + 0*b**2 + 0.
-b*(b - 1)*(b + 1)/3
Let v be 30/((-3990)/(-9329)) + -1. Factor -1364/7*t - 12/7*t**3 + 260/7*t**2 - v.
-4*(t - 11)**2*(3*t + 1)/7
Let b be (-218)/8*(-40)/(-6) + -3. Let h = 185 + b. Factor h*k**3 + 0*k - 1/3*k**2 + 0.
k**2*(k - 1)/3
Let s(n) be the third derivative of n**5/270 - 241*n**4/108 - n**2 + 139. Let s(l) = 0. What is l?
0, 241
Let r be (-2)/(-8) - 22/(-8). Let x be 42/(-38220)*-91*(-12)/(-9). Determine u, given that -16/15*u + 2/5*u**2 + 8/15 - x*u**4 + 4/15*u**r = 0.
-2, 1, 2
Let x be (8/52 - 456/(-78))/(-3 - -11). Factor -3/4*m - 1/4 - x*m**2 - 1/4*m**3.
-(m + 1)**3/4
Let a = -405 - -407. Suppose 7 = -j - 5*x - 1, a*j + 4*x + 4 = 0. Factor 0 + 0*q + 0*q**j - 2/3*q**4 - 2/3*q**3.
-2*q**3*(q + 1)/3
Let p = -447 - -213. Let g = 945/4 + p. Let 1/2 - g*m**2 - 7/4*m = 0. What is m?
-1, 2/9
Let p = 603786/366605 - -2/21565. Suppose p + 20/17*s**2 - 2/17*s**3 - 46/17*s = 0. What is s?
1, 2, 7
Let k(g) = 192*g + 4616. Let q be k(-24). Factor 4/7*p**4 + 200/7*p + q*p**3 - 192/7*p**2 - 68/7.
4*(p - 1)**3*(p + 17)/7
Let c(o) be the first derivative of -o**6/60 + o**5/40 + o**4/24 - o**3/12 + 95*o - 81. Let f(r) be the first derivative of c(r). Factor f(p).
-p*(p - 1)**2*(p + 1)/2
Let m(c) be the first derivative of c**4/12 - c**3 - 18*c - 33. Let f(h) be the first derivative of m(h). Factor f(l).
l*(l - 6)
Let y(u) be the third derivative of -u**6/960 + u**5/160 + 3*u**4/64 - 45*u**3/2 - 166*u**2. Let v(s) be the first derivative of y(s). Factor v(r).
-3*(r - 3)*(r + 1)/8
Let d(t) be the second derivative of -21*t**5/20 + 33*t**4/4 + 26*t**3 + 18*t**2 - 87*t + 2. Solve d(g) = 0.
-1, -2/7, 6
What is j in 56/3*j - 18 - 2/3*j**2 = 0?
1, 27
Let w(l) be the second derivative of l**6/15 - 2*l**5 + 3*l**4 + 20*l**3/3 - 19*l**2 + 123*l. Factor w(k).
2*(k - 19)*(k - 1)**2*(k + 1)
Suppose -306 = -3*l - 294. Let k(h) be the second derivative of 1/6*h**6 + 0*h**2 - 1/4*h**5 + 0 + 0*h**3 - 8*h + 0*h**l. Factor k(u).
5*u**3*(u - 1)
Let c(a) = 13*a + 267. Let p(b) = 77*b + 1603. Let k(g) = 35*c(g) - 6*p(g). Let z be k(-39). Factor 0*m**3 - 6/7*m**2 - 4/7*m + z + 2/7*m**4.
2*m*(m - 2)*(m + 1)**2/7
Let o(z) be the first derivative of 3*z**6/22 + 38*z**5/55 - 19*z**4/44 - 32*z**3/11 + 26*z**2/11 + 16*z/11 - 4647. Let o(x) = 0. What is x?
-4, -2, -2/9, 1
Let w(o) be the second derivative of -o**5/4 + 65*o**4/4 + 100*o**3/3 + 4360*o. Factor w(p).
-5*p*(p - 40)*(p + 1)
Let o(j) be the third derivative of 35/3*j**3 - 33*j**2 + 235/24*j**4 + j + 7/3*j**5 - 5/24*j**6 + 0. Factor o(h).
-5*(h - 7)*(h + 1)*(5*h + 2)
Let y(x) be the first derivative of x**5/6 + x**4/2 + x**3/3 - 3*x**2 + x + 34. Let w(k) be the second derivative of y(k). Factor w(h).
2*(h + 1)*(5*h + 1)
Let w(y) be the first derivative of -11*y**6/3 - 2*y**5 + 8*y**4 - 2393. Find f such that w(f) = 0.
-16/11, 0, 1
Let g(t) be the third derivative of -1/900*t**6 + 0 + 0*t**3 + 1/60*t**4 + 1/225*t**5 + 25*t**2 + 0*t. Factor g(z).
-2*z*(z - 3)*(z + 1)/15
Let c(b) be the first derivative of -b**3/9 + 152*b**2/3 + 305*b/3 + 2482. Determine x so that c(x) = 0.
-1, 305
Let g(l) be the third derivative of -5/3*l**3 + 0*l + 1/150*l**5 - 11*l**2 + 1/30*l**4 + 0 + 1/1800*l**6. Let m(h) be the first derivative of g(h). Factor m(b).
(b + 2)**2/5
Let c = 15 - 12. Suppose z + 12 = c*o, -13 = -z - o - o. Find k such that -15*k**3 - 4*k**4 - k**4 + 0*k**2 + z*k**2 - 13*k**2 = 0.
-2, -1, 0
Let z(o) be the third derivative of -o**8/2016 - 4*o**7/315 - 23*o**6/360 + 2*o**5/5 - 9*o**4/16 + 787*o**2. Solve z(r) = 0 for r.
-9, 0, 1
Let c(r) = 3*r**3 - 83*r**2 + 54*r. Let j be c(27). Factor j - 125/8*l**4 + l - 15/2*l**2 + 75/4*l**3.
-l*(5*l - 2)**3/8
Let m(y) be the first derivative of 90 + 40*y**2 - 5/3*y**3 + 0*y. Factor m(f).
-5*f*(f - 16)
Let n(k) = k**4 + 66*k**3 - 245*k**2 + 298*k. Let m(y) = -32*y**3 + 122*y**2 - 148*y. Let b(v) = -5*m(v) - 2*n(v). Suppose b(d) = 0. What is d?
0, 2, 6
Suppose 0 = -5*s - 4*u + 32, -6*s - 5*u + 31 = -2*s. Suppose 39 = s*h + 11. Suppose -h - 9 + 4*d + d**2 + d**2 = 0. What is d?
-4, 2
Let -1024/5*u**2 - 448*u - 96/5*u**3 - 1536/5 + 4/5*u**5 + 32/5*u**4 = 0. Calculate u.
-8, -2, 6
Let h(i) be the third derivative of 3*i**5/40 - 169*i**4/4 + 28561*i**3/3 + 9*i**2 - 24*i. Suppose h(n) = 0. Calculate n.
338/3
Find y, given that -5*y**3 + 3*y**3 - 281*y + 162 + 115*y + 40*y - 34*y**2 = 0.
-9, 1
Let h(a) be the first derivative of -5*a**3/3 - 1045*a**2/2 + 1050*a + 599. Factor h(r).
-5*(r - 1)*(r + 210)
Let x(k) = 2*k**2 - 23*k + 42. Let f be x(9). Let q be (34 + -37)/(f/2). Factor -2/3*c**3 + 4/3 + 0*c**q + 2*c.
-2*(c - 2)*(c + 1)**2/3
Let h = -1274 + 1268. Let p be h/5 - ((-1010)/50 + 14). Determine t, given that 0*t - 36/7*t**2 + 76/7*t**3 + 0 - 44/7*t**4 + 4/7*t**p = 0.
0, 1, 9
Let l = 7 - 5. What is q in 14*q**l - 160*q + 0*q**2 + 1280 - 9*q**2 = 0?
16
Let y be 58/14 + -4 + (-83)/(19173/(-165)). What is r in 27/7*r**3 + 39/7*r**4 + 0 - y*r - 3/7*r**2 + 15/7*r**5 = 0?
-1, 0, 2/5
Let t be (-4257)/(-87) + -8 + (-702)/(-87). Let f(n) be the second derivative of 14/3*n**3 - 1/6*n**4 - 2*n - 3 - t*n**2. Solve f(i) = 0.
7
Determine d, given that 0 + 2*d**2 - 45/2*d**3 + 6*d**4 + 1/2*d**5 + 30*d = 0.
-15, -1, 0, 2
Let p = 208 - 206. Let x(v) be the first derivative of -1/4*v**p - 12 + 0*v - 1/8*v**4 - 1/3*v**3. Find w such that x(w) = 0.
-1, 0
Suppose 164 = -8*f + 148. Let j be ((-4)/(-6))/(2 - (f - -3)). Factor 0 + 1/3*q**2 + j*q**3 - 1/3*q**4 - 2/3*q.
-q*(q - 2)*(q - 1)*(q + 1)/3
Let g(v) = -3*v**3 + 9*v**2 - v + 7. Suppose 0 = 7*q - 19 - 2. Let c be g(q). Factor 0 + 11/2*p**5 + 39/2*p**3 + 35/2*p**c + 17/2*p**2 + p.
p*(p + 1)**3*(11*p + 2)/2
Let s(r) be the first derivative of 17/12*r**4 + 41/3*r**2 + 2/15*r**5 - 8*r - 77/9*r**3 - 23. Find h, given that s(h) = 0.
-12, 1/2, 1, 