+ 28)
Suppose 4*f - 8 = 8. Suppose -f = 3*b - 2*o, 56*o - 59*o = 3*b - 21. Let -12/5*g**3 + 42/5*g + 2/5*g**5 - 6/5*g**4 + 18/5 + 4*g**b = 0. What is g?
-1, 3
Suppose 102 = 3*h + 96. Factor 72*t**2 - 62*t**h - 6*t**3 + t**3.
-5*t**2*(t - 2)
Suppose 0 = -0*t + 49*t - 245. Factor -t*v + 20*v**3 - 4*v**4 + 21*v + 427*v**2 - 459*v**2.
-4*v*(v - 2)**2*(v - 1)
Let z be ((-1)/3 + 1 + (-164)/12)*8068/(-52442). Factor 5/2*o**4 - 5/4*o**5 + 0*o + 35/4*o**3 + 0 + 5*o**z.
-5*o**2*(o - 4)*(o + 1)**2/4
Let q be (-4)/14 + 326/14. Suppose c + 0*c = 2. Suppose -48*t - c*t**2 - 6 + 33*t + q*t = 0. Calculate t.
1, 3
Let 5880*l**2 + 1962 + 15693/2*l - 9/2*l**3 = 0. Calculate l.
-1, -1/3, 1308
Let a(s) = 4*s - 22. Let g be a(25). Let v = g - 68. Factor 17*r**2 + 17*r**2 - 1 + v*r**2 - 43*r**2.
(r - 1)*(r + 1)
Let d = 4120625/7 - 588657. Factor -3/7*v**3 + 44/7*v + 40/7 - d*v**2.
-(v - 2)*(v + 10)*(3*v + 2)/7
Let j be ((8 - 8)/(-2))/(-1). Let s(o) be the second derivative of -1/26*o**4 - 6/13*o**2 + j + 13*o - 11/39*o**3. Factor s(l).
-2*(l + 3)*(3*l + 2)/13
Let m(s) be the second derivative of s**5/40 - s**4/4 - 2*s**3 + 16*s**2 - 22*s. Factor m(d).
(d - 8)*(d - 2)*(d + 4)/2
Let y be (-39)/(((-49)/(-5) + (-4 - 10))*5). Find g such that -20/7 - g**2 + 3/7*g**4 - 1/7*g**5 - 36/7*g + y*g**3 = 0.
-2, -1, 2, 5
Let u(l) be the third derivative of -l**6/480 - l**5/48 + 61*l**4/96 - 55*l**3/24 + 1358*l**2 + l. Let u(k) = 0. Calculate k.
-11, 1, 5
Let t(y) be the third derivative of y**5/30 + 75*y**4/2 + 16875*y**3 + y**2 - 359*y. Solve t(o) = 0 for o.
-225
Find w such that 164/7*w**2 + 244/7*w + 44/7*w**3 + 4/7*w**4 + 120/7 = 0.
-5, -3, -2, -1
Let h = 3 + 4. Find m, given that -3*m + 3*m**4 + 12*m**3 + 4*m**2 - 8 + m**4 - 2*m - h*m = 0.
-2, -1, 1
Let t = -126 + 129. Solve -h - 27*h**3 - 7*h - t*h**2 + 2*h - 15*h**4 - 3*h**5 - 18*h**2 = 0.
-2, -1, 0
Let t(x) = -62*x + 4. Let o(l) = l**2 - 304*l + 22. Let p(n) = 4*o(n) - 22*t(n). Determine w, given that p(w) = 0.
-37, 0
Let l = -81/331 + -242549/1655. Let d = 742/5 + l. Solve 2/5*r**2 + 8/5 + d*r = 0.
-2
Let h(u) be the first derivative of 16*u**3/3 - 174*u**2 + 7569*u/4 + 719. Find q, given that h(q) = 0.
87/8
Let w(c) be the third derivative of -3*c**6/140 + 49*c**5/15 + 313*c**4/21 - 104*c**3/7 - 84*c**2 - 10*c. Find s, given that w(s) = 0.
-2, 2/9, 78
Let i(h) be the first derivative of -4205*h**4/4 - 69890*h**3 + 14490*h**2 - 1000*h - 1662. Factor i(x).
-5*(x + 50)*(29*x - 2)**2
Let p(w) be the third derivative of w**6/30 - 163*w**5/15 + 3440*w**4/3 - 12800*w**3 + w**2 + 14. Factor p(d).
4*(d - 80)**2*(d - 3)
Let b(z) = z**2 - 6*z + 3. Let q be b(-3). Factor s**3 + q*s**2 - 14*s**2 - 20*s**2.
s**2*(s - 4)
Let s(o) be the second derivative of -o**7/84 + 17*o**6/60 - 27*o**5/40 - 193*o**4/24 - 58*o**3/3 - 21*o**2 - 2*o + 393. Factor s(r).
-(r - 14)*(r - 6)*(r + 1)**3/2
Let l(v) be the first derivative of 4*v**3/3 + 1726*v**2 - 3456*v - 2623. Factor l(k).
4*(k - 1)*(k + 864)
Let t(z) = 1357*z**2 - 14322*z + 38088. Let p(n) = 3392*n**2 - 35808*n + 95220. Let h(l) = -5*p(l) + 12*t(l). Find u such that h(u) = 0.
69/13
Solve -11*w**3 + 1699*w**2 - 240*w**3 + 218*w + 88 + 5*w**4 - 1792*w**2 + 33*w**3 = 0.
-1, -2/5, 1, 44
Suppose 3 = 7*t - 18. Suppose t*j + 2*y - 1756 = -j, 5*j + 3*y = 2196. Factor 11*q**4 - 35*q**3 - 36*q**4 - 5*q**5 - j*q**2 + 423*q**2.
-5*q**2*(q + 1)**2*(q + 3)
Let t(s) be the third derivative of -4/3*s**3 + 1/30*s**5 + 0 + 0*s - 11*s**2 - 1/4*s**4. Solve t(l) = 0 for l.
-1, 4
Let t be ((-4)/63)/(2346/(-3519)). Find z such that 0 + 0*z**2 + t*z**3 + 0*z - 8/21*z**4 = 0.
0, 1/4
Let f(k) be the first derivative of -4*k**3/3 + 689. Let f(i) = 0. Calculate i.
0
Let u(w) be the first derivative of -108*w**5/5 - 28*w**4 - 4*w**3/3 - 190. Factor u(m).
-4*m**2*(m + 1)*(27*m + 1)
Let u(k) be the third derivative of 1/40*k**6 + 1 + 0*k + 1/2688*k**8 + 0*k**3 - 1/168*k**7 + 41*k**2 - 25/192*k**4 + 1/48*k**5. What is w in u(w) = 0?
-1, 0, 1, 5
Let w(s) be the third derivative of -s**7/4410 + s**6/630 - s**5/210 - s**4/8 + 23*s**3/6 - s**2 + 3. Let x(y) be the second derivative of w(y). Factor x(z).
-4*(z - 1)**2/7
Let v(n) be the third derivative of n**6/120 - n**5/10 - 5*n**4/12 - 15*n**3/2 + n**2 + 58*n. Let q be v(8). Factor 6*k + 1/4*k**q - 5 - 9/4*k**2.
(k - 5)*(k - 2)**2/4
Let x(l) be the first derivative of l**6/720 + l**5/8 + 75*l**4/16 - l**3 - l**2/2 - 67. Let m(s) be the third derivative of x(s). Find b such that m(b) = 0.
-15
Let a(x) be the third derivative of x**7/1365 + 2*x**6/65 - 79*x**5/390 + 9*x**4/26 - 5*x**2 - 3*x + 7. Let a(l) = 0. What is l?
-27, 0, 1, 2
Determine y so that -76/9*y**4 + 14/3*y - 2/3*y**5 - 20*y**3 - 196/9 + 416/9*y**2 = 0.
-7, -2/3, 1
Let p(k) = -370*k - 28487. Let m be p(-77). Suppose 24/7*j**2 + 128/7 - 96/7*j - 2/7*j**m = 0. Calculate j.
4
Suppose -38*x + 17*x = -16*x - 10. Let s(r) be the third derivative of -15*r**x + 0*r - 1/96*r**6 + 0*r**4 + 0 + 0*r**3 - 1/16*r**5. Let s(v) = 0. What is v?
-3, 0
Let c(m) be the first derivative of 0*m**2 + 0*m - 9/20*m**4 - 331 + 0*m**5 + 2/5*m**3 + 1/10*m**6. Suppose c(v) = 0. Calculate v.
-2, 0, 1
Let b(h) be the first derivative of 4*h**3/9 + 34*h**2/3 + 5048. Factor b(j).
4*j*(j + 17)/3
Let m = 1526908/21 + -72708. Suppose 2/21*a**2 + 38/21*a - m = 0. Calculate a.
-20, 1
Let r = 1609107/8 - 201138. Factor r*u**3 + 0 + 1/2*u**4 + 0*u + 0*u**2.
u**3*(4*u + 3)/8
Suppose -744*z - 220 = -788*z. Let f(u) be the first derivative of -2*u**4 + 0*u + 2*u**2 - 24 + 6/5*u**z - 2/3*u**3. Factor f(h).
2*h*(h - 1)**2*(3*h + 2)
Let p(c) be the first derivative of -1/12*c**4 - 9 - 98*c**2 + 2744/3*c + 14/3*c**3. Factor p(b).
-(b - 14)**3/3
Let z(m) be the third derivative of 2*m**7/105 + m**6 + 51*m**5/5 - 578*m**4/3 - 574*m**2. Solve z(p) = 0 for p.
-17, 0, 4
Let k be -4 + 1 + (-6)/(-9) + (-3960)/(-540). Factor 0*m - 147/4*m**3 + 0 - 3/4*m**k + 0*m**2 + 21/2*m**4.
-3*m**3*(m - 7)**2/4
Let x(s) be the third derivative of -2*s**7/735 + s**6/21 - 3*s**5/35 + 1213*s**2. Factor x(t).
-4*t**2*(t - 9)*(t - 1)/7
Let h(r) = -8*r**3 + 31*r**2 - 140*r + 145. Let s = -215 + 194. Let d(i) = -33*i**3 + 123*i**2 - 561*i + 579. Let t(p) = s*h(p) + 5*d(p). Factor t(w).
3*(w - 5)**2*(w - 2)
Let x be (-1070)/270*-3 - (11 + (8 - 10)). Suppose 5/9*u**5 - x*u**2 - 5/9*u + 0*u**3 + 0 + 26/9*u**4 = 0. Calculate u.
-5, -1, -1/5, 0, 1
Let q(f) = -11*f**2 + 10*f - 23. Let z(o) = 2*o**2 + o + 1. Let l(j) = -q(j) - 4*z(j). Let s be l(3). Solve -2/5*w**2 + 0 + 0*w - w**3 - 2/5*w**s = 0.
-2, -1/2, 0
Find f, given that -2/3*f**4 - 352/3 - 96*f**2 - 544/3*f - 56/3*f**3 = 0.
-22, -2
Let u = -256 + 265. Solve 2 + 12*d**2 - 23*d - 2*d**3 + 5*d + u - 2 - 1 = 0.
1, 4
Let d = 208 + -204. Factor 34*g**d - 4*g**4 - 35*g**5 - 8*g**3 + 15*g**4 - 2*g**3.
-5*g**3*(g - 1)*(7*g - 2)
Let m = -2423413/2 - -1211707. What is c in -m*c**3 - 1/4 + 1/8*c + c**2 = 0?
-1/2, 1/2, 2
Let -145/3*i**2 + 292/3 - 1/3*i**3 + 148/3*i = 0. What is i?
-146, -1, 2
Let j = -17/2280 + 6131/6840. Suppose 8/9*q**2 + 2/3*q**3 - 8/9*q**4 - j*q + 0 + 2/9*q**5 = 0. Calculate q.
-1, 0, 1, 2
Let p(o) be the first derivative of -1/4*o**6 - 3/20*o**5 + 28 + 3/4*o**3 + 0*o**2 + 3/4*o**4 + 0*o. Factor p(g).
-3*g**2*(g + 1)**2*(2*g - 3)/4
Let k(b) = 234*b**2 - 278*b + 14. Let c(r) = 5*r**2 - 2. Let t(x) = -10*c(x) - k(x). Solve t(h) = 0 for h.
-3/142, 1
Suppose 0 = -28*f - 3*f + 2*f. Let u(t) be the second derivative of -1/231*t**7 + 2/165*t**6 + 0*t**4 - 1/110*t**5 + 0*t**3 + 0 + 18*t + f*t**2. Factor u(n).
-2*n**3*(n - 1)**2/11
Let c(h) = -5*h**2 - 2*h + 3. Let m(b) = 2*b + 22. Let f be m(-9). Let p(y) = -4*y - 18 + 7*y + 10 + f*y + 15*y**2. Let l(d) = 7*c(d) + 2*p(d). Factor l(s).
-5*(s - 1)*(s + 1)
Suppose -3*y = -4*s + 586, 4*s - 5*y + 602 = 8*s. Factor -11*i + 74*i**2 + 73*i**2 - s*i**2.
-i*(i + 11)
Let m(h) be the second derivative of -9/10*h**5 + 7/6*h**4 + 0 - 25*h + 0*h**2 - 1/21*h**7 - 2/3*h**3 + 1/3*h**6. Factor m(i).
-2*i*(i - 2)*(i - 1)**3
Solve 44*v**3 - 24*v**2 + 41*v**3 + 51*v**3 - 138*v**3 = 0 for v.
-12, 0
Let r(k) be the second derivative of k**4/21 + 136*k**3 + 145656*k**2 + 4609*k. Factor r(m).
4*(m + 714)**2/7
Let q(n) be the third derivative of -n**7/1512 - 29*n**6/432 - 7*n**5/18 + 91*n**4/8 - 2*n**2 +