 + 1/4*g**5 + 0*g**2 + 0 - 1/4*g**4.
g**4*(g - 1)/4
Suppose 4*b = -5*o + 3968, 5*b - 1594 = -11*o + 9*o. Let u be (198/o)/(17/24 + 0). Suppose u*f - 2/17*f**2 - 4/17 = 0. Calculate f.
1, 2
Let w(q) be the third derivative of q**5/60 + 119*q**4/24 + 39*q**3 - 2048*q**2. Find m, given that w(m) = 0.
-117, -2
Let m(b) be the second derivative of b**4/66 + 29*b**3/33 + 63*b - 1. Factor m(n).
2*n*(n + 29)/11
Let p(w) be the first derivative of 5*w**3/3 - 19355*w**2 + 74923205*w - 11550. Solve p(v) = 0 for v.
3871
Let m(j) = -j**2 - 33*j - 176. Let y(z) = -z - 1. Let c be ((-1252)/(-9))/(-4) + (-8)/36. Let b(w) = c*y(w) + 5*m(w). Suppose b(o) = 0. Calculate o.
-13
Let p(d) = -2*d**2 - 7*d + 9. Let t = 130 - 131. Let j(i) = -i + 1. Let a(q) = t*p(q) + j(q). Solve a(k) = 0.
-4, 1
Let j(b) be the first derivative of b**3/3 + b**2 - 15*b + 609. Factor j(v).
(v - 3)*(v + 5)
Factor -49*a + 4496 - 5240*a + 4*a**2 + 1296 - 507*a.
4*(a - 1448)*(a - 1)
Let p(z) be the first derivative of -55*z**6/18 - 112*z**5/3 - 675*z**4/4 - 3100*z**3/9 - 910*z**2/3 - 80*z + 978. Solve p(c) = 0 for c.
-4, -3, -2, -1, -2/11
Let c = -99 + 99. Suppose x - 2*d - 801 = 0, 5*x + 2*d = -c*x + 4029. Factor 8 - 640*n - x*n**2 - 115*n**2 + 1440*n**3 - 88 - 405*n**4.
-5*(n - 2)**2*(9*n + 2)**2
Let g(o) be the first derivative of o**4/4 - 3703*o**3 + 41136627*o**2/2 - 50776309927*o - 12193. Factor g(h).
(h - 3703)**3
Suppose 3*v = -2*m - 14, 386 = m - 5*v + 354. Factor 1/6*q**m - 5/6 + 2/3*q.
(q - 1)*(q + 5)/6
Let w(d) be the second derivative of -d**4/24 - 449*d**3/12 - 447*d**2/2 + 4528*d - 1. Factor w(q).
-(q + 2)*(q + 447)/2
Let c(s) = 423*s - 32144. Let v be c(76). Suppose 250/13 - 120/13*g**2 - 100/13*g - 2/13*g**v - 28/13*g**3 = 0. What is g?
-5, 1
Let n be (-1)/((-28)/448) + (-1050)/91. What is u in -4/13*u**2 - n - 118/13*u = 0?
-29, -1/2
Let -24*r + 0 - 1/10*r**2 = 0. Calculate r.
-240, 0
Let c be (6/7)/((-162)/(-567)). Determine q, given that -2*q + 2*q**5 - 7*q**4 + 7*q**c + 13*q**4 + 24 - 48*q**2 + 4*q - 11*q**3 + 18*q**4 = 0.
-12, -1, 1
Let t(g) = 13*g**3 + 90*g**2 + 457*g + 497. Let n(z) = 9*z**3 + 60*z**2 + 307*z + 331. Let u(q) = 7*n(q) - 5*t(q). Factor u(p).
-2*(p + 2)*(p + 6)*(p + 7)
Let f(y) = y**2 + y. Let t be f(1). Let w = 716820 - 1433637/2. Solve 0 - 1/2*s**4 - t*s**3 - w*s**2 + 0*s = 0 for s.
-3, -1, 0
Let k(b) be the first derivative of 0*b**4 + 0*b**3 - 21*b + 1/50*b**5 + 0*b**2 - 24. Let m(o) be the first derivative of k(o). Factor m(x).
2*x**3/5
Find m such that -19/5*m**3 - 14/5*m**2 + 1/5*m**5 - 4/5*m**4 + 0*m + 0 = 0.
-2, -1, 0, 7
Let k(s) be the first derivative of 2*s**5/5 + 47*s**4/8 + 16*s**3 - 187*s**2/4 + 20*s - 73. Let k(b) = 0. Calculate b.
-8, -5, 1/4, 1
Suppose 2*m + 152 = 158. Determine w, given that 5*w**2 + 5 - m*w + 5*w + 8*w = 0.
-1
Let x(z) = -17*z + 176. Let s be x(10). Let i be 88/33 - 1/(s/(-8)). Factor 0 + 0*j**3 + 4/9*j - 8/9*j**2 - 4/9*j**5 + 8/9*j**i.
-4*j*(j - 1)**3*(j + 1)/9
Let n be ((-56)/196*2/2)/((-60)/14). Let c(y) be the second derivative of 0 - n*y**3 - 25*y + 1/50*y**5 - 1/5*y**2 + 1/30*y**4. Determine k so that c(k) = 0.
-1, 1
Let d(h) = 3831*h - 635944. Let n be d(166). Determine x so that -1/3*x**3 - x**n + 1 + 1/3*x = 0.
-3, -1, 1
Let y(f) be the first derivative of 2*f**5/55 + 21*f**4/11 + 1322*f**3/33 + 420*f**2 + 2200*f + 1644. Solve y(i) = 0 for i.
-11, -10
Suppose -u + 16 = 4*z, 4*z - 8 = -5*u + 6*u. Suppose -4*q = -l - 3, 33 = u*q + l + 4*l. Factor 0 - 1/2*s - s**q.
-s*(2*s + 1)/2
Let b be (1 - 2) + 0 + 2 + 2. Let t = 2 - 0. Factor 8*m**5 + t + 2*m**4 + b*m**2 - 19*m**2 + 12*m**4 - 4*m - 4*m**3.
2*(m - 1)*(m + 1)**3*(4*m - 1)
Let a = 3182887/3 + -1060901. What is q in 16/3*q**4 - 16*q**2 + 100/3*q + 28*q**5 - a*q**3 + 32/3 = 0?
-1, -1/3, 1, 8/7
Let l(t) = -8*t**5 + 204*t**4 - 418*t**3 + 96*t**2 + 4*t. Let g(d) = -d**4 - 2*d**2 - 2*d. Let c(m) = -2*g(m) - l(m). Solve c(o) = 0.
0, 1/4, 2, 23
Determine p so that 7615/3*p + 2540 - 5/3*p**2 = 0.
-1, 1524
Let r = -165197/8 - -20650. Factor -21/8*k + 9/2 + r*k**2.
3*(k - 4)*(k - 3)/8
Let j(f) = f**2 + 1. Let o(w) = -w**2 - 45*w - 6. Suppose 210 = 2*g + 3*x + 2*x, -4*x = 3*g - 315. Let v = 111 - g. Let c(l) = v*j(l) + o(l). Solve c(q) = 0.
0, 9
Let t = 297 + -296. Let y be (t/(-2))/(180/(-120)). Factor -1/3*b + 1/3*b**3 + y*b**4 - 1/3*b**2 + 0.
b*(b - 1)*(b + 1)**2/3
Let z be 0*(3*-1 + (-74)/(-37)). Let o(y) be the first derivative of 0*y**3 - 1/14*y**4 + z*y + 11 + 1/7*y**2. Factor o(a).
-2*a*(a - 1)*(a + 1)/7
Let a(c) = 7*c**2 + 7944*c + 5290776. Let y(x) = x**2 - 6*x + 6. Let l(s) = -a(s) + 4*y(s). Factor l(f).
-3*(f + 1328)**2
Suppose -9*v + 45*d + 50 = 40*d, -2*v + 2*d + 20 = 0. Let h = 7 - 4. Factor v - 2/9*t**2 + 2/9*t**h - 4/9*t.
2*t*(t - 2)*(t + 1)/9
Let q be 5*(60 - 61 - 464/(-450)). Let h(o) be the third derivative of 0*o + 0 - 8/27*o**3 + q*o**5 + 4/27*o**4 - 28*o**2. Determine y, given that h(y) = 0.
-2/3, 2/7
Let q(m) be the first derivative of m**5/20 + 27*m**4/8 - 287*m**3/12 + 117*m**2/2 - 59*m + 1676. Factor q(x).
(x - 2)**2*(x - 1)*(x + 59)/4
Let r be 1 - (-30)/14 - 146/1022. Let m(c) be the second derivative of -c**2 - 2*c - 1/6*c**4 + 2/3*c**r + 0. Find s, given that m(s) = 0.
1
Let b(r) be the second derivative of r**6/180 - r**5/54 - r**4/27 + 4*r**3/27 + 18*r**2 - 58*r. Let u(x) be the first derivative of b(x). Solve u(f) = 0.
-1, 2/3, 2
Let c(r) be the third derivative of r**7/5040 + r**6/720 + r**5/360 + r**3/6 - 4*r**2 + r. Let h(i) be the first derivative of c(i). Solve h(w) = 0 for w.
-2, -1, 0
Let k(r) = -r**3 - r**2 - 2. Let c(f) = -27*f**3 + 54*f**2 - 24*f - 24. Suppose -38*y = -48*y - 10. Let d(j) = y*c(j) + 12*k(j). Solve d(l) = 0.
0, 2/5, 4
Let z(c) be the second derivative of 1/90*c**4 + 59*c + 0*c**2 + 0 + 0*c**3. Let z(m) = 0. Calculate m.
0
Let k(q) be the first derivative of -21*q**4/16 + 10*q**3 - 18*q**2 - 1364. Suppose k(m) = 0. What is m?
0, 12/7, 4
Let v be (-3 - -10)/(4/8). Let n be (v + -2)*(-1)/(-3). Factor -11*u**4 - 1 + 20*u**2 + 5*u**5 + 1 - n*u**4.
5*u**2*(u - 2)**2*(u + 1)
Let i(z) = -2*z**2 + 24*z - 19. Let n be i(11). Let 129*h**3 + n*h**2 + 127*h**3 - 257*h**3 + 8*h - 2*h**2 - 12 = 0. What is h?
-3, 2
Let j(b) be the second derivative of b**5/100 + 23*b**4/60 - 17*b**3/6 - 3179*b**2/10 + 8152*b. What is a in j(a) = 0?
-17, 11
Let x = 38 - 37. Let n(r) = 5*r**2 + 1. Let z be n(x). Solve 8*k**2 - z*k**2 - 4*k - 2*k**3 + 4*k**3 = 0 for k.
-2, 0, 1
Factor -36*r - 3*r**2 + 223*r - 2*r**2 - 4512 + 228*r - 1098.
-5*(r - 66)*(r - 17)
Let o(s) be the second derivative of -3*s**5/40 - 79*s**4/4 - 151*s**3/4 + 1413*s**2/2 + 611*s - 2. Determine d so that o(d) = 0.
-157, -3, 2
Factor 392/17*l**2 + 3636/17 - 2406/17*l + 2/17*l**3.
2*(l - 3)**2*(l + 202)/17
Let d(u) = -u**2 + 110*u + 946. Let t(h) = -3*h**2 + 384*h + 3312. Let p(i) = -18*d(i) + 5*t(i). Factor p(z).
3*(z - 26)*(z + 6)
Let w(o) be the third derivative of -4*o**6/65 + 44*o**5/195 - 17*o**4/52 + 3*o**3/13 - 2228*o**2. Factor w(y).
-2*(3*y - 1)*(4*y - 3)**2/13
Suppose 5*a = b + 36, 4*a - 25432*b = -25434*b - 2. What is f in 0*f**3 + 0*f + 0*f**2 - 1/5*f**a - 1/5*f**4 + 0 = 0?
-1, 0
Determine q so that -85*q**2 + 8*q - 2*q - 2*q**3 - 3*q**3 - 11*q**3 + 75*q**2 = 0.
-1, 0, 3/8
Let r = -382/251 - -5162/753. Find c, given that -2/3*c**3 + r - 44/9*c**2 - 8/9*c + 8/9*c**4 + 2/9*c**5 = 0.
-3, -2, 1, 2
Let b(v) = 2*v**2 - 3*v. Let t(x) = 2*x**2 - 2*x - 2. Let o(u) = -6*b(u) + 5*t(u). Let q(g) = -2*g**2 + 7*g - 8. Let m(s) = 3*o(s) - 4*q(s). Factor m(j).
2*(j - 1)**2
Let p(o) be the first derivative of 0*o + 4/3*o**3 - 3/8*o**4 + 3/4*o**2 - 6/5*o**5 - 3 + 1/3*o**6. Find r, given that p(r) = 0.
-1/2, 0, 1, 3
Let o = 151 - 140. Let q(i) be the third derivative of 0*i - o*i**2 + 1/78*i**4 + 1/390*i**5 + 0*i**3 + 0. Let q(g) = 0. Calculate g.
-2, 0
Suppose -22*s + 42 = -2. Suppose 0 = -389*z + 398*z - 27. Factor j**z + 2/3*j**s + 1/3*j**4 + 0*j + 0.
j**2*(j + 1)*(j + 2)/3
What is q in -32/17 + 216/17*q**3 - 5824/17*q**2 - 864/17*q + 1458/17*q**4 = 0?
-2, -2/27, 2
Let r(c) = 51*c + 360. Let j be r(-7). Factor 162*b**j - 327*b**3 - b**4 + 168*b**3 + b**5 - b**2 - 2*b**4.
b**2*(b - 1)**3
Let k(v) be the second derivative of v**7/210 + 17*v**6/30 + 33*v**5/10 + 49*v**4/6 + 65*