uppose -6*a**q + 16/7*a**3 + 22/7*a**2 + 0 + 4/7*a = 0. Calculate a.
-1/3, -2/7, 0, 1
Solve -167*d**3 - 1342*d - 2014/3 - 5027/6*d**2 + 1/6*d**4 = 0 for d.
-2, -1, 1007
Let n(z) be the third derivative of -8/3*z**3 - 11*z**2 + 0*z**4 + 0*z + 1/15*z**5 - 2. Factor n(w).
4*(w - 2)*(w + 2)
Let p = -7917 + 7917. Let b(x) be the third derivative of p*x**4 + 1/60*x**5 - 1/840*x**7 + 0*x**3 + 0*x + 13*x**2 + 0 + 0*x**6. Determine d so that b(d) = 0.
-2, 0, 2
Let h(a) = 1189*a + 2383. Let g be h(-2). Suppose 7/4*i**2 + 1/2*i - 7/4*i**4 + 0 + 1/4*i**3 - 3/4*i**g = 0. Calculate i.
-2, -1, -1/3, 0, 1
Let m(k) be the third derivative of -k**7/210 + 107*k**6/60 - 1221*k**5/5 + 34225*k**4/3 + 1620896*k**3/3 + 8174*k**2. Factor m(u).
-(u - 74)**3*(u + 8)
Let b(n) be the third derivative of n**5/80 - 3*n**4/4 + 105*n**2 - 5*n. Find w, given that b(w) = 0.
0, 24
Let c(w) be the first derivative of -62 + 4*w**2 + 38/9*w**3 + 1/36*w**6 + 0*w + 11/30*w**5 + 11/6*w**4. Factor c(t).
t*(t + 2)**2*(t + 3)*(t + 4)/6
Let t(s) be the first derivative of s**4/2 - s**3/3 + s**2/2 + s + 24. Let u be t(1). Solve -u*z + 3*z**3 + 0*z**2 - 3/2 + 3/2*z**4 = 0.
-1, 1
Let c(d) be the second derivative of 3*d**5/20 + 49*d**4/4 + 113*d**3 + 396*d**2 + 11*d - 2. Factor c(l).
3*(l + 2)*(l + 3)*(l + 44)
Let z be (24541/6402)/(4/16*23). Factor 0 - z*s**2 - 16/3*s.
-2*s*(s + 8)/3
Let j = -374 - -379. Let -108*c**2 + 108*c**4 - 1 + 1 - 104*c - 454*c**5 + 100*c**3 + 458*c**j = 0. What is c?
-26, -1, 0, 1
Let i(b) be the first derivative of -5*b**7/42 - b**6/2 + 5*b**4/3 + 196*b - 19. Let k(f) be the first derivative of i(f). Factor k(s).
-5*s**2*(s - 1)*(s + 2)**2
Find g such that -2/11*g**5 - 8/11*g**2 + 4/11*g**4 + 4/11*g**3 + 4/11 - 2/11*g = 0.
-1, 1, 2
Let b(v) be the second derivative of -3*v**5/20 - 247*v**4/4 - 488*v**3 - 1458*v**2 + 2373*v. Factor b(q).
-3*(q + 2)**2*(q + 243)
Let z = 15/22 + -91/198. Let q = 3786 - 11356/3. Factor 4/9 + q*p + z*p**2.
2*(p + 1)*(p + 2)/9
Let k(c) = c**3 + 9*c**2 + 4*c. Let x be k(-7). Factor -17*a - 68*a**2 + x*a**2 - 13*a.
2*a*(a - 15)
Let j(x) be the third derivative of 51*x + 0 + 2*x**2 + 11/12*x**4 - 1/60*x**5 + 0*x**3. Suppose j(d) = 0. What is d?
0, 22
Let t be 2/((-582)/9)*144/(-540). Let o = t - -457/3395. Let -o*j**2 - 1/7*j**3 + 4/7*j + 4/7 = 0. What is j?
-2, -1, 2
Factor 180 - 420*q - 5*q**2 - 421*q + 1267*q - 426*q.
-5*(q - 6)*(q + 6)
Let v be (3/(-9) + 14/18)*2184/728. Find i such that v*i**2 - 124/3*i - 128/3 = 0.
-1, 32
Suppose 5*q - 69 = 4*y, -105 + 167 = 5*q + 3*y. Let k be q - 7*(-6)/(-14). Determine g so that -32*g**2 - 2/3 - k*g + 128/3*g**3 = 0.
-1/8, 1
Let v = 874/1417 - 2079/5668. Factor -2025/4 - v*n**2 + 45/2*n.
-(n - 45)**2/4
Let i(m) = 78*m**2 + 4*m - 34. Let r be i(-15). Factor 6*c**2 + r - 17456 + c**3 + 7*c + 2*c**2.
c*(c + 1)*(c + 7)
Let n = -275/326 + 382/163. Factor -n*y**2 + 0 - 51/2*y.
-3*y*(y + 17)/2
Factor 162/5*m**4 - 592/5*m**2 + 21824/5*m - 1584/5*m**3 + 30752/5.
2*(m + 2)**2*(9*m - 62)**2/5
Factor 19/2*m - 24 - 1/2*m**2.
-(m - 16)*(m - 3)/2
Let g be ((-1204)/2709)/(5/(-27)). Let 2/5 + g*i**2 + 2/5*i**4 - 8/5*i**3 - 8/5*i = 0. Calculate i.
1
Suppose 860*m - 850*m - 30 = 0. Suppose w = -m*p + 5, 14*p - 4*w + 2 = 17*p. Factor 2/13*c**4 + 20/13*c + 6/13 + 12/13*c**3 + 24/13*c**p.
2*(c + 1)**3*(c + 3)/13
Let d(u) be the third derivative of -5/32*u**4 - 25/12*u**3 + 0 + 4*u - u**2 + 1/48*u**5. Suppose d(h) = 0. Calculate h.
-2, 5
Let d(c) be the third derivative of 5/8*c**5 + c**3 + 1/20*c**7 + 19/80*c**6 + c**4 - 1 + 1/224*c**8 + 0*c + 12*c**2. Factor d(s).
3*(s + 1)**3*(s + 2)**2/2
What is x in 506*x**3 + 0 + 1/3*x**5 - 1292/3*x**2 - 77/3*x**4 - 2888/3*x = 0?
-1, 0, 2, 38
Let i be 17 + 3*(-90)/15 - 7/(-5). Let h(q) be the second derivative of -14/15*q**4 - 23*q + i*q**2 - 1/15*q**3 + 0. Solve h(z) = 0 for z.
-2/7, 1/4
Let n(c) be the first derivative of -1/60*c**4 - 21*c - 7/10*c**2 - 4/15*c**3 - 13. Let z(q) be the first derivative of n(q). Factor z(r).
-(r + 1)*(r + 7)/5
Let u(n) be the third derivative of n**6/200 + 3*n**5/100 - 3*n**4/20 - 4*n**3/5 + 4740*n**2. Factor u(o).
3*(o - 2)*(o + 1)*(o + 4)/5
Factor 21*h**2 + 38 + 5*h**4 - 35*h**3 + 29*h**2 + 41 - 79.
5*h**2*(h - 5)*(h - 2)
Let n be (-1 - (-1)/(-1)) + (-58528)/177. Let y = n - -334. Factor -1/3*u**2 + 1/3*u**5 - y + 1/3*u**4 + 8/3*u - 5/3*u**3.
(u - 1)**3*(u + 2)**2/3
Let q(a) be the first derivative of -3*a**5/5 - 231*a**4/4 - 1360*a**3 + 7200*a**2 - 672. Find d such that q(d) = 0.
-40, 0, 3
Let a(n) be the second derivative of -13*n**6/35 + 19*n**5/70 + 11*n**4/3 - 76*n**3/21 + 8*n**2/7 + 6072*n. Let a(g) = 0. What is g?
-2, 2/13, 1/3, 2
Let d(a) be the third derivative of -a**8/840 + 53*a**7/525 - 182*a**6/75 + 338*a**5/75 - 12*a**2 - 37. Suppose d(i) = 0. Calculate i.
0, 1, 26
Let l(y) be the third derivative of -4/5*y**3 + 0 + 0*y - 3/100*y**5 - 78*y**2 - 17/60*y**4 + 1/600*y**6. Find v, given that l(v) = 0.
-2, -1, 12
Let y(t) be the third derivative of t**5/60 + 15*t**4/8 + 43*t**3/3 - 2*t**2 - 173*t. Suppose y(c) = 0. What is c?
-43, -2
Let 164/3*c**3 - 402*c**2 + 592/3*c + 440/3 + 10/3*c**4 = 0. What is c?
-22, -2/5, 1, 5
Let a = 4 + 0. Solve -42178 + 4*o + 8*o + 0*o**2 + 2*o**2 - o**4 + 42169 - a*o**3 = 0.
-3, 1
Suppose -6376 = -4*r + 4*d, 2 - 3 = -d. Let a = -1592 + r. Factor 1/2 - 7/2*n + 17/2*n**4 - n**a + 9/2*n**5 - 9*n**2.
(n - 1)*(n + 1)**3*(9*n - 1)/2
Factor -2*c**2 - 20/7 - 74/7*c.
-2*(c + 5)*(7*c + 2)/7
Let g = 29550 - 383960/13. Let k = 1559/104 - g. Factor 3/4*y**3 - 3/4*y - 3/8*y**2 + k*y**4 + 0.
3*y*(y - 1)*(y + 1)*(y + 2)/8
Suppose -j - 4*f = 6, -8*j + 2*f - 12 = -10*j. Let d(l) = 46*l - 460. Let k be d(j). Determine r, given that k*r + 0 + 2/9*r**3 + 0*r**2 = 0.
0
Suppose -18*s + 2*z = -22*s + 12, -s + 2*z + 8 = 0. Let b(o) be the first derivative of 1/3*o**3 + 21 + s*o + 2*o**2. Factor b(p).
(p + 2)**2
Suppose 37 = d - 75. Let p be 7*(-3)/(-2)*d/588. Factor -3/2 - 4*b**2 + p*b**3 - 11/2*b.
(b - 3)*(2*b + 1)**2/2
Factor 44 + 2/7*a**2 - 158/7*a.
2*(a - 77)*(a - 2)/7
Let u(r) be the third derivative of -5*r**8/2352 - r**7/210 + 17*r**6/280 - 17*r**5/420 - 23*r**4/84 + 4*r**3/7 + 4472*r**2. Find j such that u(j) = 0.
-4, -1, 3/5, 1, 2
Let p = -164731 + 164735. Factor -1/4*l**3 + 0 + 1/4*l + 1/8*l**p - 1/8*l**2.
l*(l - 2)*(l - 1)*(l + 1)/8
Suppose 3*u**4 - 71312*u**3 + 21*u**2 - 4*u**4 + 71314*u**3 - 40 - 22*u + 0*u**2 = 0. What is u?
-4, -1, 2, 5
Let n(y) be the third derivative of y**5/450 - 5*y**4/18 + y**2 + 239*y. Factor n(t).
2*t*(t - 50)/15
Let w(h) be the first derivative of -2*h**3/7 + 75*h**2/7 + 300*h + 3489. Factor w(f).
-6*(f - 35)*(f + 10)/7
Let z be -75 + 2124/60 - -40. Factor -8/5*u + z*u**2 + 8/5.
2*(u - 2)**2/5
Let s(x) be the first derivative of -1458*x**5/55 + 1944*x**4/11 - 828*x**3/11 + 136*x**2/11 - 10*x/11 + 970. Determine t so that s(t) = 0.
1/9, 5
Let i(r) = -2*r**2 + 15*r. Let s be 1/(-3) - ((-665)/3)/5. Let n(t) = 14*t**2 - 104*t. Let x(v) = s*i(v) + 6*n(v). Factor x(z).
-4*z*(z - 9)
Suppose -2*t = -3*y + 9, -5*t - 39 = 17*y - 19*y. Let x be 6*(t - (-1220)/135). Factor -16/9*u - x*u**3 - 8/9 - 10/9*u**2.
-2*(u + 1)*(u + 2)**2/9
Suppose 66 - z**3 + 199 + 157 + 43*z**2 + 521*z + 55 = 0. Calculate z.
-9, -1, 53
Suppose 6*j + 21*j = 108. Let f be (-2)/(3 + 148/(-36)). Determine x so that -x**j - f + 14/5*x**2 - 1/5*x**5 - 2/5*x**3 + 3/5*x = 0.
-3, -1, 1
Let v(h) = -6*h**2 + 1828*h + 3660. Let p(t) = -17*t**2 + 5488*t + 10989. Let b(o) = 4*p(o) - 11*v(o). Factor b(f).
-2*(f - 924)*(f + 2)
Let m(n) be the first derivative of 3/14*n**4 - 85 + 0*n**2 - 3/35*n**5 - 1/7*n**3 + 0*n. Factor m(z).
-3*z**2*(z - 1)**2/7
Let n be (-19680)/(-574) - (24 - -10). Solve 0 - n*r**4 + 2/7*r**2 + 0*r**3 + 0*r = 0 for r.
-1, 0, 1
Let v be ((-5)/2)/(5/(-15580)). Find y, given that 21*y**2 + 17*y**2 - 7791*y**3 + 136 - 140*y + v*y**3 = 0.
2, 34
Suppose -2*j + 9*r - 4*r + 19 = 0, 4*r + 4 = -4*j. Suppose 2*k = -2*k - j*b, b = -5*k. Factor a + k*a**2 + 4*a + 2*a**2 + 10 - 7*a**2.
-5*(a - 2)*(a + 1)
Factor 0*b + 3*b - 20*b**2 - b - b**5 - 10*b - 5*b**3 - 13*b**3 - 7*b**4.
-b*(b + 1)*(b + 2)**3
Let l(y) be the third derivative of y**6/780 - 2*y**5/195 - 5*y**4/156 + 125*y**2. Suppose l(f) = 0. Calculate f.
-1, 0, 5
Let m(a) =