/2*w**3 + 0 - 974*w + 1949/2*w**2 = 0. Calculate w.
0, 1, 1948
Let g(l) = -l**3 - 2*l**2 + 4*l + 8. Let k be g(-2). Let k + 2/9*d**2 - 4/3*d = 0. What is d?
0, 6
Suppose v = s - 31 + 100, 5*s - 2*v + 357 = 0. Let y = -69 - s. Factor 0 + 25*i - 2*i**2 + i**2 - y*i**2 + 30.
-5*(i - 6)*(i + 1)
Let m(c) = -128*c**3 - 724*c**2 + 124*c + 700. Let t(v) = v**4 + 257*v**3 + 1448*v**2 - 248*v - 1395. Let u(o) = 9*m(o) + 4*t(o). Solve u(z) = 0 for z.
-5, -1, 1, 36
Let d be (6 - (-144)/45)*(-10)/(-4). Factor 5*i - 2*i**2 + 21*i - 13*i - 162 + d*i.
-2*(i - 9)**2
Let t = -4341 - -4356. Let d = 470/13 - 1999/65. Factor 9*m + d*m**2 - t + 3/5*m**3.
3*(m - 1)*(m + 5)**2/5
Let v(z) be the first derivative of 8*z**6/27 - 58*z**5/45 + 2*z**4 - 28*z**3/27 - 4*z**2/9 + 2*z/3 + 1846. Factor v(j).
2*(j - 1)**4*(8*j + 3)/9
Suppose 22*j - 156 = -24. Let z be (6*(-4)/(-6))/2. Solve j*m**z - 22 + 12 - m + 2*m**2 - m = 0.
-1, 5/4
Let g(x) = -x**3 + x**2 - 18*x - 79. Let z be g(-3). Let n(w) be the second derivative of z*w - 96/25*w**5 + 3/5*w**2 - 12/5*w**3 + 0 + 24/5*w**4. Factor n(d).
-6*(4*d - 1)**3/5
Let n(g) be the third derivative of -5*g**8/112 + 3*g**7/70 + 111*g**6/20 + 142*g**5/5 + 24*g**4 - 179*g**2 - g - 1. Let n(z) = 0. What is z?
-4, -3, -2/5, 0, 8
Let o(s) be the first derivative of -4*s**5/5 - 16*s**4 - 236*s**3/3 - 88*s**2 + 10585. Factor o(n).
-4*n*(n + 1)*(n + 4)*(n + 11)
Let j(n) = -4*n**2 + 25*n - 4. Let k be j(6). Determine a so that 7*a**2 + 5*a**2 - 13*a**k + 28*a - 196 = 0.
14
Let l(k) be the second derivative of k**6/15 - k**5/10 - 5*k**4/3 + 4*k**3/3 + 24*k**2 + 81*k. Determine y so that l(y) = 0.
-2, 2, 3
Let x = 59751 - 59749. What is i in 0 - 1/6*i**x + 1/6*i = 0?
0, 1
Let k(z) be the second derivative of -z**7/1050 + z**5/12 - 102*z**2 - 274*z. Let i(t) be the first derivative of k(t). Factor i(s).
-s**2*(s - 5)*(s + 5)/5
Let q be (-1748)/(-342) - (-2)/(-18). Suppose 16*s**2 + 12*s + 3*s**5 - 4*s**q - 6*s**4 - 16*s**3 - 16 + 5*s**3 + 6*s**3 = 0. What is s?
-4, -2, 1
Let t be -1*(8 + -13 + 9 + -6). Let s(l) be the first derivative of 0*l + 35 - 17/14*l**4 - 4/7*l**t + 32/21*l**3 + 2/7*l**5. Find z, given that s(z) = 0.
0, 2/5, 1, 2
Let a(u) be the second derivative of -u**7/168 - 139*u**6/60 - 19321*u**5/80 - 263*u + 1. Suppose a(d) = 0. Calculate d.
-139, 0
Let a(m) be the third derivative of m**7/525 - m**6/15 + 2*m**5/3 + 47*m**2 + 2. Solve a(z) = 0 for z.
0, 10
Let c(w) be the third derivative of w**6/1080 - w**5/36 + 2*w**4/9 + 32*w**3/27 + 2*w**2 - 112*w - 4. Suppose c(s) = 0. Calculate s.
-1, 8
Let t(w) be the third derivative of w**7/42 - 17*w**6/12 - 28*w**5/3 + 85*w**4/12 + 185*w**3/2 + 9*w**2 + 20*w + 1. Determine v, given that t(v) = 0.
-3, -1, 1, 37
Suppose -1507 = -k - 1329. Let w = k - 174. Factor r**3 - 1/2*r**w + 0 + 1/2*r**2 - r.
-r*(r - 2)*(r - 1)*(r + 1)/2
Let x(m) be the second derivative of -3*m**5/20 - 5*m**4 - 97*m**3/2 - 117*m**2 + 2*m - 87. Factor x(c).
-3*(c + 1)*(c + 6)*(c + 13)
Suppose 73*d + 29 - 153 - 314 = 0. Let r be (-12)/18*9/(-4). Factor -15/2*k + r*k**2 + d.
3*(k - 4)*(k - 1)/2
Let z(d) be the third derivative of d**6/1260 + 503*d**5/630 + 63503*d**4/252 + 63001*d**3/63 + 1003*d**2. Factor z(g).
2*(g + 1)*(g + 251)**2/21
Suppose 0 = o + 3*o + 8. Let f be 20/50 - (106/(-10) - o). Factor -f*x - x - 7*x**2 + 0 + 2*x**2 - 5.
-5*(x + 1)**2
Let b(z) be the second derivative of -z**8/30240 - z**7/11340 + z**6/1620 + 21*z**4/4 - 50*z. Let l(w) be the third derivative of b(w). Factor l(x).
-2*x*(x - 1)*(x + 2)/9
Factor -54*w**2 - 214*w**3 - 16*w**2 - 43*w**2 - 2*w**5 + 5*w**2 - 104*w**4 + 4*w**5.
2*w**2*(w - 54)*(w + 1)**2
Determine b so that 81*b**2 - 48*b**3 - 63 + 93/2*b + 3/2*b**5 - 18*b**4 = 0.
-3, -1, 1, 14
Let w(q) be the second derivative of -56 - 1/18*q**4 - 59/3*q**2 - 20/3*q**3 - 2*q. Factor w(k).
-2*(k + 1)*(k + 59)/3
Let t(z) = -z**3 - 88*z**2 - 47*z - 4136. Let g be t(-88). Determine b, given that -2/5*b**2 - 1/5*b**4 + g*b + 0 - 3/5*b**3 = 0.
-2, -1, 0
Factor 22*o**3 + 6*o + 18 - 18*o**2 - 21*o**3 + 11*o - 18*o.
(o - 18)*(o - 1)*(o + 1)
Let i be 36*9/36 + -2. Factor 3*b**2 + i*b**5 + 8*b**5 - 16*b**5 + 0*b**4 + 0*b**2 + b**4 + 5*b**3.
-b**2*(b - 3)*(b + 1)**2
Let a(r) be the second derivative of -r**4/78 + 1986*r**3/13 - 8874441*r**2/13 - 1011*r - 1. Factor a(q).
-2*(q - 2979)**2/13
Suppose 0 = 202*c - 196*c - 24. Factor 240*o**3 - 11891*o**2 - 163*o + 419*o + 4*o**5 + 12339*o**2 + 52*o**c.
4*o*(o + 1)*(o + 4)**3
Let q(x) be the first derivative of x**6/27 + 8*x**5/45 - 5*x**4/18 - 40*x**3/27 + 4*x**2/9 + 32*x/9 - 709. Suppose q(n) = 0. What is n?
-4, -2, -1, 1, 2
Let d(v) = 3*v**3 - v**2 + v. Let b(s) = 23*s**3 - 201*s**2 - 14*s + 780. Let w(t) = b(t) - 6*d(t). Let w(x) = 0. What is x?
-2, 2, 39
Suppose -j + 4143*w - 62 = 4147*w, -6*j - 3*w - 36 = 0. Factor 0*p**j + 3/4*p**4 + 0*p - 3/2*p**3 + 0.
3*p**3*(p - 2)/4
Let f(z) be the third derivative of z**7/630 - z**6/180 - z**5/45 + z**4/36 + z**3/6 - 1425*z**2. Factor f(j).
(j - 3)*(j - 1)*(j + 1)**2/3
Let f = 6251/20 + -1231/4. Find o such that 2*o + 1/5*o**2 - f = 0.
-12, 2
Let c(d) be the first derivative of d**5 + 45*d**4/4 - 5*d**3 - 125*d**2/2 + 90*d - 915. Solve c(s) = 0.
-9, -2, 1
Suppose -2*x - 3*x = -a + 21, 4*a = -x. Let t(v) = v + 7. Let h be t(x). Factor 39*n + 16 + 19*n**2 - 8*n**h + n**4 - 71*n + 5*n**2.
(n - 2)**4
Let 24*q + 40/3 + 14/3*q**2 - 2*q**3 = 0. What is q?
-2, -2/3, 5
Determine a so that -5*a**3 - 25*a + 263*a**2 + 268*a**2 - 501*a**2 = 0.
0, 1, 5
Find t, given that -160/13*t**3 - 240/13*t**2 - 96/13 + 32*t + 14/13*t**5 + 66/13*t**4 = 0.
-6, -2, 2/7, 1, 2
Let q(r) be the first derivative of -4*r**5/5 + 528*r**4 - 1404*r**3 + 1052*r**2 - 3378. Find p such that q(p) = 0.
0, 1, 526
Let u(i) = 2*i + 63. Let p be u(-27). Let z be (p/(-1))/9*0. What is s in 4/3*s + z - 2/3*s**2 = 0?
0, 2
Let q(d) = -4860975*d**2 - 9855*d + 35. Let s(o) = 4860976*o**2 + 9856*o - 27. Let l(j) = 4*q(j) + 5*s(j). Factor l(h).
5*(986*h + 1)**2
Let w(c) = -480*c**2 + 972*c - 472. Let b(l) = l**3 - 960*l**2 + 1947*l - 938. Let v(i) = -2*b(i) + 5*w(i). Factor v(g).
-2*(g - 1)**2*(g + 242)
Suppose -4*l = -43*u + 41*u - 32, -2*u = -3*l + 25. Suppose -k = -2*d + l, 4*d - 7 = 53*k - 58*k. What is t in -2/15*t**d - 2/5*t**2 + 0 - 4/15*t = 0?
-2, -1, 0
Let -1638 + 3/7*j**3 - 22929/7*j - 11460/7*j**2 = 0. What is j?
-1, 3822
Let d = -805 - -944. Let 17*w + 2598 + d*w + 444 - 198*w**2 + 200*w**2 = 0. Calculate w.
-39
Let x be (96/256)/((-1)/(-8)). Let 35*d - 19 - 14 - 71*d - x*d**2 = 0. What is d?
-11, -1
Solve 2/5*z**2 + 113/5*z - 23 = 0.
-115/2, 1
Let s be -9*9/(-81) - (-2601)/133. Let f = 510/19 - s. Let 40/7 + f*p + 4/7*p**2 = 0. What is p?
-10, -1
Let t(b) be the third derivative of -27*b + 0*b**3 + 0 + 0*b**5 - 1/1344*b**8 + 0*b**4 + 0*b**6 - 2*b**2 + 1/840*b**7. Determine g, given that t(g) = 0.
0, 1
Let f = -141/2 - -833/10. Factor -f*n + 36/5*n**3 + 0 - 11/5*n**4 + 1/5*n**5 - 16/5*n**2.
n*(n - 4)**3*(n + 1)/5
Let n(x) be the first derivative of 7/2*x**4 - 34*x**3 + 33 - 40*x + 84*x**2. Factor n(p).
2*(p - 5)*(p - 2)*(7*p - 2)
Let f(w) be the first derivative of 2*w**3/27 + 712*w**2/9 - 952*w/3 + 5835. Factor f(v).
2*(v - 2)*(v + 714)/9
Factor -688*y + 273*y**2 - 80 - 581*y**2 + 240*y**2.
-4*(y + 10)*(17*y + 2)
Let p(m) be the third derivative of 5*m**8/84 - 332*m**7/105 + 218*m**6/5 + 238*m**5/3 - 289*m**4/6 - 2*m**2 + 3105*m. Solve p(i) = 0.
-1, 0, 1/5, 17
Let u(i) = 102*i**3 - 2864*i**2 + 1264*i - 133. Let w(q) = -99*q**3 + 2865*q**2 - 1264*q + 134. Let x(y) = -6*u(y) - 7*w(y). Let x(k) = 0. What is k?
2/9, 35
Let x(z) be the second derivative of z**6/45 + 1166*z**5/15 + 301864*z**4/3 + 467279248*z**3/9 - 941821904*z**2/3 + 4*z - 110. Suppose x(o) = 0. What is o?
-778, 2
Let y(t) be the first derivative of 0*t - 1/60*t**6 - 1/5*t**5 + 32/3*t**3 - 7*t**2 + 4 + 0*t**4. Let j(u) be the second derivative of y(u). Factor j(w).
-2*(w - 2)*(w + 4)**2
Let m be 1211/346*(-16)/(-14). Let v(h) be the third derivative of 3/2*h**m - 2*h**2 + 0*h - 2*h**3 + 0 - 1/4*h**5. Solve v(g) = 0.
2/5, 2
Let a(r) be the first derivative of r**8/560 - 2*r**7/25 + 27*r**6/200 - 23*r**2/2 + 104. Let b(u) be the second derivative of a(u). Factor b(s).
3*s**3*(s - 27)*(s - 1)/5