 + 2. Let h be s(x). Factor -1/4*d**5 + 3/4*d**3 - 1/2*d**h + 0*d + 0*d**4 + 0.
-d**2*(d - 1)**2*(d + 2)/4
Factor 97/2*u + 62 - 1/2*u**3 - 14*u**2.
-(u - 4)*(u + 1)*(u + 31)/2
Suppose -3*r + 18 = 2*c, 0*r - 2*r = -8. Suppose -5*s - 86 = -2*y, -2*y + c*s = -43 - 43. Find m such that -173 + y*m + 56 + 11*m - 3*m**2 - 126 = 0.
9
Suppose -5*k = 5*q + 10, -27*q + 14 = 5*k - 26*q. Let s(x) be the first derivative of 8 - 1/8*x**k - 3/10*x**5 + 0*x + 1/3*x**3 + 0*x**2. Factor s(m).
-m**2*(m + 1)*(3*m - 2)/2
Let z be (-2 - 0/2)/2. Let x(a) = -144*a - 5 + 5 + 143*a. Let s(f) = 4*f**2 + 20*f + 16. Let b(t) = z*s(t) - 4*x(t). Factor b(y).
-4*(y + 2)**2
Let x be (-1)/3*(17625/(-2500) - (-45)/25). Factor -x*y**2 - 1/2*y**3 - 7/4*y - 1/2.
-(y + 1)*(y + 2)*(2*y + 1)/4
Let 4194304/5 - 768/5*c**4 - 2/5*c**5 + 98304/5*c - 4193536/5*c**2 - 98302/5*c**3 = 0. Calculate c.
-128, -1, 1
Let w be (-54)/(-30) - 1/(-5). Let m(v) = 65*v**w + 1 - 69*v**2 + v - 4*v. Let y(a) = -6*a**2 - 4*a + 2. Let k(t) = -8*m(t) + 5*y(t). Let k(x) = 0. What is x?
-1
Let x(p) = p**2 - 15*p - 121. Let j be x(22). Let t(h) = h**2 - 40*h + 233. Let a be t(j). Let -1/7*n**a - 4/7*n - 3/7 = 0. What is n?
-3, -1
Let i be (-2)/(-14) - 2665/(-1435). Let k(x) be the first derivative of -20 + 3/5*x**5 + 3/2*x**i - x**3 - 3/4*x**4 + 0*x. What is u in k(u) = 0?
-1, 0, 1
Suppose 4 = 6*d - 7*d - 2*y, -15 = -3*d + 3*y. Let p(s) be the second derivative of 6*s + 2/5*s**5 - 4/3*s**4 + 2/15*s**6 + 6*s**d + 0 - 4/3*s**3. Factor p(h).
4*(h - 1)**2*(h + 1)*(h + 3)
Let i(w) = w**3 - 24*w**2 + 3*w - 50. Let y be i(24). Suppose 0 = -5*z + y - 22. Solve z + 1/2*s**2 + 0*s - 1/2*s**3 = 0 for s.
0, 1
Let d be 1 - ((-20531)/16380 - -2). Let g = d + -2/585. What is u in g*u**2 - 1/4 + 0*u = 0?
-1, 1
Let u = 1270297/793945 - -3/158789. Factor 2/5*y**2 + 8/5 - u*y.
2*(y - 2)**2/5
Let l(s) be the second derivative of 0*s**2 - 1/22*s**4 + 0 - 70*s + 4/33*s**3 - 1/110*s**5. Suppose l(q) = 0. What is q?
-4, 0, 1
Factor -2018/7*k**2 + 0 - 1018081/7*k - 1/7*k**3.
-k*(k + 1009)**2/7
Let b be (3 + 378/(-154))*37*1. Let z = 1242/55 - b. Find m, given that -3/5*m + 12/5*m**2 + z*m**4 - 3/5*m**5 - 18/5*m**3 + 0 = 0.
0, 1
What is h in -115/3*h**4 - 45*h**3 + 95/2*h - 5/2*h**5 + 35/3 + 80/3*h**2 = 0?
-14, -1, -1/3, 1
Let h(j) = -4*j**5 - 6*j**4 + 8*j**3 - 17*j**2 - j. Let d(l) = -l**5 - l**3 - l**2 - l. Suppose 5 + 25 = 2*t. Let c(g) = t*d(g) - 3*h(g). Factor c(i).
-3*i*(i - 2)**2*(i - 1)**2
Let p = -1217/60 + 203/10. Let k(i) be the second derivative of 0 + 0*i**2 + 6*i + p*i**6 + 3/40*i**5 + 1/8*i**4 + 1/12*i**3. Determine y, given that k(y) = 0.
-1, 0
Let h be 3 - (-78)/(-80) - ((20 - 37) + 19). Let g(j) be the third derivative of -40*j**2 + 0*j + h*j**5 - 2*j**3 + 0 + 1/8*j**4. Factor g(q).
3*(q - 2)*(q + 4)/2
Let d be ((-196)/21)/(-7) + (28/(-6))/(-7). Let i = 326 + -326. Let -15/4*t - 3/4*t**d + i = 0. Calculate t.
-5, 0
Let d = 19177/274 - 8972/137. Find p such that -27/4*p**2 - d*p**4 - 239/8*p**3 + 15/2*p - 1 + 81/8*p**5 = 0.
-1, 2/9, 2
Let r = 155124 - 155120. Solve 41/5*o**3 + 273/5*o**2 + 2/5*o**r - 343/5 + 539/5*o = 0 for o.
-7, 1/2
Let c(m) be the second derivative of -m**5/4 - 565*m**4/4 + 4*m + 350. Factor c(s).
-5*s**2*(s + 339)
Let n(r) be the third derivative of -11/70*r**7 + 49/4*r**4 + 0*r**3 + 1/112*r**8 + 119/20*r**5 + 7*r - 8*r**2 + 9/40*r**6 + 0. Factor n(j).
3*j*(j - 7)**2*(j + 1)*(j + 2)
Let v(h) be the second derivative of 5*h**4/12 - 1720*h**3/3 + 295840*h**2 + 2*h - 161. Factor v(i).
5*(i - 344)**2
Let c(i) be the third derivative of -i**8/2184 - 71*i**7/1365 - 31*i**6/60 - 857*i**5/390 - 196*i**4/39 - 20*i**3/3 + 711*i**2. Determine k so that c(k) = 0.
-65, -2, -1
Find w, given that 76/7 - 72/7*w - 4/7*w**2 = 0.
-19, 1
Let q = -44255 + 44255. Determine i so that q*i - 1/8*i**2 + 1/8 = 0.
-1, 1
Suppose -3*r - 57 = s - 75, -2*r - s + 14 = 0. Let q(d) be the first derivative of -110/9*d**3 - 5*d**r - 245/3*d + 70*d**2 - 1/3*d**5 + 40. Factor q(h).
-5*(h - 1)**2*(h + 7)**2/3
Let -1/2*p**4 + 1/2*p**5 + 245/2*p**2 + 40 - 121*p - 83/2*p**3 = 0. Calculate p.
-10, 1, 8
Let 31/3*x**2 - 11/3*x**4 + 1/3*x**5 + 58/3*x + 8 - 5*x**3 = 0. Calculate x.
-1, 2, 12
Let g(o) = -o**3 - 121*o**2 - 154*o - 4078. Let q be g(-120). Let m(p) = -p + 2. Let z be m(-2). Factor h + 0 + 1/2*h**z + q*h**3 + 5/2*h**2.
h*(h + 1)**2*(h + 2)/2
Let u be 8556/5 + (-4)/20 + 0. Suppose -1714*x**4 - 5*x**2 + u*x**4 + 9*x**3 - x**2 = 0. Calculate x.
0, 1, 2
Let w(b) be the first derivative of -b**4/14 - 376*b**3/21 - 9200*b**2/7 - 67712*b/7 + 1891. Find t, given that w(t) = 0.
-92, -4
Let m(l) = 770*l**2 - 7938*l + 7234. Let c(d) = -48*d**2 + 496*d - 452. Let z(u) = 33*c(u) + 2*m(u). Factor z(b).
-4*(b - 1)*(11*b - 112)
Let y = 261/1540 + 71/308. Suppose y + 46/5*f**2 - 22/5*f**3 - 26/5*f = 0. What is f?
1/11, 1
Let m = -499 - -501. Suppose -n = -2*o + 5, 2*n - 4 = -m*n + 2*o. Factor -3/5*y**2 + 3/5 - 3/5*y + 3/5*y**n.
3*(y - 1)**2*(y + 1)/5
Let x(v) = v**3 + 161*v**2 + 2872*v + 2730. Let l(k) = -10*k**3 - 1295*k**2 - 22975*k - 21840. Let u(f) = -3*l(f) - 25*x(f). Factor u(i).
5*(i - 42)*(i + 1)*(i + 13)
Solve s**3 + 1092 + 4*s**3 + 4*s**2 - 1102 + 11*s**2 - 5*s**4 - 5*s = 0.
-1, 1, 2
Let t be -7 - ((-20)/(-16))/(9/(-54) + 0). Let y(j) be the first derivative of -1/4*j**4 + 33 + 1/5*j**5 - 1/3*j**3 + 0*j + t*j**2. Factor y(i).
i*(i - 1)**2*(i + 1)
Suppose 0 = -5*q + 3*u + 37, 2*q - 5*u = -9*u - 6. Factor -q*g - 36*g**3 - 4*g**5 - 32*g**2 + 20*g**4 + 60*g**2 - 3*g.
-4*g*(g - 2)*(g - 1)**3
Let t be (16/6)/(15/270). Suppose 35 - 13*w**2 + 57 - 128 + t*w + w**3 = 0. Calculate w.
1, 6
Let c(g) be the third derivative of -63/8*g**4 + 8*g**3 - 1/5*g**5 + 0*g - 5 + 2*g**2. Factor c(w).
-3*(w + 16)*(4*w - 1)
Suppose 3*h - 8 = -4*a, -3*h + 4 = 3*a + 1. Factor 17*g - a*g**4 + 122*g**2 - 167*g**2 - 5 + 18*g + 25*g**3 - 5.
-5*(g - 2)*(g - 1)**3
Suppose -267 - 16 = -77*b + 487. Let d(z) be the second derivative of 4/3*z**3 + 0 - 3/5*z**5 - b*z + 1/3*z**4 + 0*z**2. Let d(w) = 0. What is w?
-2/3, 0, 1
Let c(h) be the second derivative of -h**5/10 + 11*h**4/3 - 115*h**3/3 + 150*h**2 + 3737*h. Determine t so that c(t) = 0.
2, 5, 15
Let j = 878 - 851. Let l(u) be the third derivative of 0*u - 5/12*u**4 - 5/2*u**3 + 0 + 1/12*u**5 + j*u**2. Let l(d) = 0. What is d?
-1, 3
Let l(j) = -j**3 - 6*j**2 + 3*j + 20. Let c be l(-6). Factor -27*a**2 + 24*a - 2*a**c + 4*a**3 + 8*a + 64 + a**2.
4*(a - 4)**2*(a + 1)
Let s(x) = -9*x**2 - 7*x + 2. Let g be s(-1). Find y, given that 1/5*y**2 - 9/5 + g*y = 0.
-3, 3
Let g(v) = 51*v**5 + 273*v**4 + 399*v**3 + 129*v**2 - 24*v + 6. Let f(n) = 2*n**5 + n**4 + 2*n**3 + n + 1. Let x(q) = 6*f(q) - g(q). Let x(w) = 0. Calculate w.
-5, -1, 0, 2/13
Factor 1164/5 - 394/5*f + 2/5*f**2.
2*(f - 194)*(f - 3)/5
Let n(i) be the third derivative of i**6/60 + 427*i**5/30 + 106*i**4/3 - 284*i**3 - 283*i**2 + 2*i + 2. Solve n(p) = 0 for p.
-426, -2, 1
Let f(t) be the first derivative of 2/15*t**5 + 18*t**2 - 62 + 5/3*t**4 + 8*t**3 + 18*t. Factor f(v).
2*(v + 1)*(v + 3)**3/3
Let y = 46889/117335 - -9/23467. Factor -2/5*z**2 + y*z + 0.
-2*z*(z - 1)/5
Let q = 4 + 18. Factor 47*j - 21*j + q*j - 44 - 4*j**2.
-4*(j - 11)*(j - 1)
Let z(f) be the third derivative of f**7/70 - 349*f**6/10 + 365403*f**5/10 - 42508549*f**4/2 + 14835483601*f**3/2 - 20*f**2. Suppose z(l) = 0. Calculate l.
349
Let n be (-12)/(-16)*(22 + (-860)/40). Solve n*j**2 + 0 + 3/8*j - 3/8*j**4 - 3/8*j**3 = 0.
-1, 0, 1
Let w(o) be the first derivative of -2*o**5/35 + o**4/7 + 16*o**3/21 - 18*o**2/7 + 18*o/7 + 1324. Solve w(l) = 0 for l.
-3, 1, 3
Let o(h) = -5*h**2 - 3*h + 6. Let t(g) = 17*g**2 + 10*g - 18. Suppose -16*u + 15 = 111. Let q(l) = u*t(l) - 21*o(l). What is z in q(z) = 0?
-3, 2
Let u(a) be the first derivative of 15*a**4 - 27/5*a**5 + 106 - 30*a**2 + 5*a**3 + 12*a. Solve u(x) = 0.
-1, 2/9, 1, 2
Let k be ((-105)/14 + 7)*-4. Let c(q) = -16*q**2 + 18*q - 2. Let f(t) = t**2 - t. Let o(m) = k*c(m) + 36*f(m). Suppose o(u) = 0. What is u?
-1, 1
Factor -204/11*z**2 + 840/11 + 2/11*z**3 - 58*z.
2*(z - 105)*(z - 1)*(z + 4)/11
Let x = 757601 + -757601. Let 4/7*z**4 - 24/7*z**2 + 32/7*z + x - 12/7*z**3 = 0. What is z?
-2, 0, 1, 4
Let v(c) be the third derivative of -c**5/210 + 187*c**4/42 -