0 = 4*a + 3*g - 20. Let z = -442 - -445. Find i such that 0*i**z + 3/5*i**a + 0*i**2 + 3*i**4 + 0*i + 0 = 0.
-5, 0
Let n(y) = -2*y**3 + 22*y**2 - 172*y - 196. Let t(h) = 15*h**3 - 176*h**2 + 1377*h + 1568. Let f(j) = 23*n(j) + 3*t(j). Factor f(l).
-(l - 7)*(l + 1)*(l + 28)
Let v = -1096263 - -1096265. Let -1/7*c**v - 5/7 - 6/7*c = 0. What is c?
-5, -1
Let m(p) = 3*p**2 + 2062*p + 357059. Let y(f) = f**2 + 687*f + 119019. Let z(i) = -3*m(i) + 8*y(i). Find w, given that z(w) = 0.
-345
Let z(j) be the first derivative of -j**8/2520 - j**7/1260 + j**6/90 - 23*j**3/3 + 45. Let l(k) be the third derivative of z(k). Suppose l(g) = 0. Calculate g.
-3, 0, 2
Let z = 229138 - 229138. Let -n + z - 1/7*n**4 + 1/7*n**2 + n**3 = 0. Calculate n.
-1, 0, 1, 7
Suppose -x + 5 + 85 = -p, 0 = -x + 4*p + 96. Factor 169*c + c**2 + 6 + 8 - 90*c - x*c.
(c - 7)*(c - 2)
Suppose 192 + 308/3*p**4 + 2620/3*p**2 - 2024/3*p - 4/3*p**5 - 492*p**3 = 0. Calculate p.
1, 2, 72
Factor 5/2*f**2 - 2505/2 - 1250*f.
5*(f - 501)*(f + 1)/2
Solve -3/8*i**3 + 3/8*i + 153/2*i**2 - 153/2 = 0.
-1, 1, 204
Let v(l) be the first derivative of l**4/8 - 335*l**3/4 + 15813*l**2 - 63001*l/4 - 2320. Factor v(n).
(n - 251)**2*(2*n - 1)/4
Let f be (23 + -1 - 16)/(9/2). Let w(k) be the second derivative of 10*k + 1/10*k**5 - 2*k**2 - 1/4*k**4 + 1/30*k**6 - f*k**3 + 0. Factor w(l).
(l - 2)*(l + 1)**2*(l + 2)
Factor 84*w**2 + 442*w**2 + 199*w**2 - 82*w**3 + 87*w**3 - 195*w**2.
5*w**2*(w + 106)
Let c(h) be the second derivative of h**4/4 + 61*h**3/12 + 5*h**2/2 - 391*h. Let c(z) = 0. Calculate z.
-10, -1/6
Let -140*z**4 - 167088*z - z**5 - 15342*z**3 - 154*z**4 - 5036*z**3 + 221368*z**2 - 33433*z**3 - 174*z**4 = 0. Calculate z.
-236, 0, 1, 3
Let q(u) be the first derivative of -4*u**3 - 35*u**2/2 - 12*u + 197. Let c(v) = 11 - 9*v + 12*v**2 + 43*v + 1. Let m(j) = 5*c(j) + 6*q(j). Factor m(p).
-4*(p + 3)*(3*p + 1)
Let y(u) be the first derivative of -u**3/15 + u**2 - 9*u/5 + 14327. Factor y(x).
-(x - 9)*(x - 1)/5
Let 13/6*m**2 + 0 - 1/6*m - 2*m**3 = 0. Calculate m.
0, 1/12, 1
Let g = -1/1783 - -5356/12481. Let w(a) be the second derivative of 1/126*a**4 + 8/63*a**3 - 5*a + 0 - g*a**2. Solve w(i) = 0 for i.
-9, 1
Let y(v) be the first derivative of v**3/3 - v**2/2 + 1. Let u(c) = -6*c**2 + 13 - 15 + 2 - c**3 + 9*c + 4. Let a(k) = -u(k) - 5*y(k). Factor a(n).
(n - 2)*(n + 1)*(n + 2)
Factor -9072 + 2*b**4 + 130*b**2 + 44*b**3 + 18150 - 9078 - 1352*b.
2*b*(b - 4)*(b + 13)**2
Let y = 5/171 + -31070/171. Let j = y + 183. Factor 2*n**3 + 2/3*n**4 - j*n**2 - 8*n - 16/3.
2*(n - 2)*(n + 1)*(n + 2)**2/3
Let g = -1094 + 1098. Let v(w) be the third derivative of 2/39*w**3 + 0*w + 0 + 1/130*w**5 + 7/156*w**g + 12*w**2. Factor v(p).
2*(p + 2)*(3*p + 1)/13
Let n = 3228 + -16138/5. Let w(c) be the first derivative of -2 + n*c**5 + 0*c - 2/3*c**3 + c**4 - 2*c**2. Factor w(i).
2*i*(i - 1)*(i + 1)*(i + 2)
Suppose 0 = -2*w - 4*w + 384. Let o = w - 62. Suppose 12*a - 5*a + 5 + 3*a**o - 3 = 0. What is a?
-2, -1/3
Let c(w) be the third derivative of 69*w**2 + 27/5*w**5 + 13122*w**3 + 0*w + 1/30*w**6 + 0 + 729/2*w**4. Find o, given that c(o) = 0.
-27
Determine r so that 15*r - 36/7 + 9/7*r**2 = 0.
-12, 1/3
Find q, given that -1/3*q**4 - 56/3*q**2 + 7*q**3 - 68*q + 0 = 0.
-2, 0, 6, 17
Suppose 9111*f**3 - 14*f - 134*f - 40*f**2 - 144 - 9112*f**3 = 0. What is f?
-36, -2
Let k be -4 + 25 - 4030/390. Find t such that k - 12*t + 4/3*t**2 = 0.
1, 8
Let b(z) be the third derivative of z**7/15120 - z**6/1440 + 23*z**4/24 + 2*z**2 + 10. Let m(w) be the second derivative of b(w). Factor m(p).
p*(p - 3)/6
Factor -621/2*f + 3/4*f**2 - 624.
3*(f - 416)*(f + 2)/4
Let z be (-400)/(-22) + 2/(-11). Suppose 2*x = -2*b - 2, 13*b - 10*b - 1 = -5*x. Factor 400*r - z - 3*r**2 - 6*r**x - 367*r.
-3*(r - 3)*(3*r - 2)
Suppose 4*n - a = -10, -63*n - 44 = -58*n - 3*a. Factor 4/5*p + n*p**2 - 48/5 - 2/5*p**3.
-2*(p - 4)*(p - 3)*(p + 2)/5
Let -24*p**3 + 589*p - 908*p**2 + 128*p**4 - 842*p + 241 - 577 - 330*p**3 + 2277*p + 22*p**5 = 0. Calculate p.
-7, -3, 2/11, 2
Let z be 146/4015 + (-766)/(-110). Let f be 0/(-1) - -4*1. Factor -f + 6*g - 2*g - 2*g - g**2 + z.
-(g - 3)*(g + 1)
Let u(v) be the second derivative of -3*v + 8/15*v**6 + 2*v**2 + 5*v**4 + 14/3*v**3 + 13/5*v**5 + 17. Factor u(f).
4*(f + 1)**3*(4*f + 1)
Let k(m) be the second derivative of -m**5/170 + 5*m**4/102 - m**3/17 - 9*m**2/17 + 3909*m. Factor k(q).
-2*(q - 3)**2*(q + 1)/17
Let x be 3*(364/18 - 20). Let v(a) be the second derivative of -9*a**2 + 0 - 5*a - x*a**4 + 1/20*a**5 + 7/2*a**3. Factor v(j).
(j - 3)**2*(j - 2)
Let k(n) be the third derivative of -n**6/120 + 7*n**5/30 - 11*n**4/24 - 13*n**3/3 - 3*n**2 - 460. Solve k(m) = 0.
-1, 2, 13
Solve -2/5*m**2 + 184/5 + 88/5*m = 0 for m.
-2, 46
Let k(s) be the third derivative of s**8/448 + s**7/40 + 427*s**2. Factor k(h).
3*h**4*(h + 7)/4
Let y(b) be the third derivative of -3*b**7/245 - b**6/70 + 4*b**5/105 + b**4/14 + b**3/21 + 191*b**2 - 2*b. Suppose y(w) = 0. Calculate w.
-1, -1/3, 1
Suppose 18 = 3*b + 15. Let s = b - -4. Determine p, given that -10*p**3 + 545*p - 540*p + 7*p**s - 2*p**5 = 0.
-1, 0, 1
Let a(b) = -3*b**3 - 174*b**2 + 7708*b - 14780. Let m(i) = 7*i**3 + 348*i**2 - 15408*i + 29557. Let z(f) = 9*a(f) + 4*m(f). Factor z(x).
(x - 86)**2*(x - 2)
Let o(g) be the third derivative of -5*g**8/896 + 71*g**7/1680 - 31*g**6/960 - 21*g**5/160 + 23*g**4/96 - g**3/6 + 290*g**2. Let o(i) = 0. What is i?
-1, 1/3, 2/5, 1, 4
Suppose -202*v - 224*v + 440*v = 42. Solve 12*d**2 + 36*d + 36 + 4/3*d**v = 0.
-3
Suppose 5*c - 5*n + 20 = 0, 50*n = 5*c + 48*n + 2. Let x(d) be the second derivative of 0*d**c + 7*d + 0 - 1/30*d**4 + 2/5*d**3. Solve x(t) = 0 for t.
0, 6
Let y(z) be the third derivative of 32*z**7/105 + 61*z**6/30 + 52*z**5/15 - 2*z**4 - 5*z**2 - 219. Solve y(g) = 0 for g.
-2, 0, 3/16
Let x(r) = -4*r**2 + 3*r**2 + 4*r**2 + 4*r. Let d(u) = 16*u**2 + 20*u. Let k = -7265 + 7254. Let i(q) = k*x(q) + 2*d(q). Factor i(n).
-n*(n + 4)
Let p be 2 + (-1)/(-7) + -2. Let a = -75997/7 - -10857. Factor 0 - 3/7*j + p*j**3 + a*j**2.
j*(j - 1)*(j + 3)/7
Let r(b) = -2404*b + 194727. Let z be r(81). What is v in -48 - 32*v + 8/3*v**2 - 1/3*v**4 + 8/3*v**z = 0?
-2, 6
Let n(d) be the first derivative of d**3/21 - 5*d**2/7 - 24*d/7 + 881. Factor n(k).
(k - 12)*(k + 2)/7
Let t(x) be the third derivative of -3*x**2 + 38*x + 1/2*x**3 - 5/48*x**4 + 1/240*x**6 - 1/60*x**5 + 0. Suppose t(y) = 0. Calculate y.
-2, 1, 3
Let u(q) be the first derivative of -q**6/600 - 3*q**5/100 - 3*q**4/20 - q**2/2 + 259*q + 115. Let f(j) be the second derivative of u(j). Factor f(o).
-o*(o + 3)*(o + 6)/5
Suppose 0 = 6*h - h - 2*n - 421, -3*n - 92 = -h. Let k = h + -79. Factor -2 + 2*x - 3 + 2*x + k*x**2 - 3.
4*(x - 1)*(x + 2)
Let y be (-28)/(-11) - 192/(-5632)*-16. Solve -1/8*b - 3/4 - 1/8*b**3 + 1/2*b**y = 0 for b.
-1, 2, 3
Determine l so that 27*l**2 - 1/8*l**4 - 51/8*l**3 + 0 - 55/2*l = 0.
-55, 0, 2
Factor 1386*x**2 + 3*x - 2172 - 29*x**3 + 963 + 26*x**3 - 177*x**2.
-3*(x - 403)*(x - 1)*(x + 1)
Let j = 209 + -177. Factor -j*u + 5 + 79*u - 44*u - 6*u**3 + 3*u**5 - 5.
3*u*(u - 1)**2*(u + 1)**2
Suppose y + 3*y - 60 = v, y + 3*v = 15. Suppose -6*t**3 + 33 - 3*t + 31 - 58 - y*t**2 = 0. What is t?
-2, -1, 1/2
Let t(l) be the second derivative of -l**5/100 - l**4/30 + l**3/10 - 15*l - 4. Factor t(a).
-a*(a - 1)*(a + 3)/5
Let t(a) = -a**3 - 11*a**2 - 12*a - 16. Let y be 6 - 2 - (-8 - (-11 - 11)). Let p be t(y). Factor 0 - 24*k**2 - 98/5*k**p - 16/5*k - 252/5*k**3.
-2*k*(k + 2)*(7*k + 2)**2/5
Suppose 0 = -146*a + 147*a - 192. Find s such that 0*s**3 - 9*s + 15*s**2 - 219 + a - 3*s**3 = 0.
-1, 3
Let d be (-288)/(-45) - (-2)/(-5). Suppose -5 = 5*r - d*r. Factor 8*p**2 + p**3 - 2*p**3 - r*p**2 - 2*p.
-p*(p - 2)*(p - 1)
Let d(j) be the third derivative of 0*j**3 - 7/30*j**5 + 23/120*j**6 + 0 + 0*j**4 + 0*j - 1/70*j**7 - 95*j**2. Determine z so that d(z) = 0.
0, 2/3, 7
Suppose -2*u = -5*a + 1 - 20, -4*u + 14 = -2*a. Suppose -5*z - 31 = -12 - 9, 0 = 3*q + 3*z. Determine b, given that -1/2*b**2 - u*b - q = 0.
-2
Let l(f) = 18*f**2 - 56*f + 53. Suppose 0 = 6*q - 26 - 4. Let c(n) = 44*n**2 - 140*n + 132. Let j(g) = q*c(g) - 12*l(g). Determine h, given that j(h) = 0.
1, 6
Let s be 26/39 - 92/(-12)*-4. Le