 37*a - 8. Let j(v) = v**2 + 0*v**2 + 4*v**2 + 2 - 7 + 25*v. Let d = -9 - -14. Let x(k) = d*c(k) - 8*j(k). Let x(z) = 0. What is z?
-3, 0
Let p(x) = 47*x**3 + 783*x**2 - 490*x - 320. Let t(d) = 340*d**3 + 5480*d**2 - 3430*d - 2240. Let o(r) = 15*p(r) - 2*t(r). Factor o(m).
5*(m - 1)*(m + 32)*(5*m + 2)
Let c(x) = -x**2 - 4*x + 12. Let s be c(-5). Suppose -p - 96 = -s*p. Factor p + 22*t - 6*t - 928*t**2 + 932*t**2.
4*(t + 2)**2
Suppose 1/5*l**2 + 12/5 + 13/5*l = 0. Calculate l.
-12, -1
Find t such that 0*t**2 - 256/9 - 32/3*t + 2/9*t**3 = 0.
-4, 8
Let o(w) be the first derivative of w**4/4 - 6*w**3 + 45*w - 27. Let c(v) be the first derivative of o(v). Solve c(u) = 0.
0, 12
Find u, given that -6*u**3 - 166*u - 2*u**2 - 197*u + 339*u - 30*u**2 + 2*u**4 = 0.
-2, -1, 0, 6
Let x be (0 + 22/(-33))/(2/(-6)). Determine s, given that -41*s + 225 + 135*s**2 + 25*s - 140*s**x - 44*s = 0.
-15, 3
Let n = 13442/133 - 2588053/26201. Let q = n - 1/197. Let 18/7*a - 2/7*a**2 - q = 0. What is a?
1, 8
Suppose -5*u - 136*d + 567 = -137*d, 465 = 4*u + 3*d. Let c be ((-19)/(u/9))/(15/(-8)). Find p such that -c + 2/5*p + 4/5*p**2 - 2/5*p**3 = 0.
-1, 1, 2
Let s = -189230 - -378463/2. Suppose -s*f - 3*f**2 + 3*f**4 + 0 + 3/2*f**5 + 0*f**3 = 0. What is f?
-1, 0, 1
Let o(j) be the second derivative of -j**4/4 - 2634*j**3 - 10406934*j**2 - 602*j + 4. Determine q, given that o(q) = 0.
-2634
Let t(j) be the third derivative of 2*j**7/105 + j**6/30 + 1221*j**2. What is s in t(s) = 0?
-1, 0
Let u(t) be the second derivative of -61 - 1/114*t**4 + 0*t**2 - 1/190*t**5 + 2*t + 1/285*t**6 + 1/57*t**3. Determine m, given that u(m) = 0.
-1, 0, 1
Let o(g) be the first derivative of -2*g**3/15 - 71*g**2/5 - 132*g + 2611. What is h in o(h) = 0?
-66, -5
Let t(q) be the third derivative of q**5/150 - 13*q**4/30 + 7*q**3 + 2*q**2 - 1730*q. Factor t(w).
2*(w - 21)*(w - 5)/5
Let t = -1238 - -1242. Suppose -t*f + 5*q = -18, 5*f - 4*q - 3 - 15 = 0. Factor 27 - 16/3*i**3 + 48*i + 1/3*i**4 + 46/3*i**f.
(i - 9)**2*(i + 1)**2/3
Factor 47*g**2 - 14 - 33*g**2 - 43*g**3 + 23*g**3 + 20*g.
-2*(g - 1)*(g + 1)*(10*g - 7)
Suppose 0 = -b - 3*c - 1, -3*c = 2*c + 5. Find f, given that 4910*f**2 + b*f**3 - 4895*f**2 + 3*f**3 + 10*f = 0.
-2, -1, 0
Let w(o) = o**3 + 16*o**2 + 15*o - 17. Let j be w(-14). Let p be 2/2 + -3 - j/(-77). Determine z, given that 1/7*z + p*z**2 + 0 = 0.
-1, 0
Let p = -1983 + 2002. Let z(a) be the second derivative of 0*a**2 - 1/120*a**6 + 1/32*a**5 - 1/24*a**4 + p*a + 0 + 1/48*a**3. Determine c so that z(c) = 0.
0, 1/2, 1
Let t = -197 - -199. Factor -12*u**3 - u**t - 11*u**2 - 5*u**4 + 2*u**4.
-3*u**2*(u + 2)**2
Let b(h) = 4*h - 30. Let m = -17 - -25. Let r be b(m). Solve f**4 - 14 + 20*f**2 - 13 - 3*f**r + 8*f**3 + f**2 = 0.
-3, 1
Let v be 20115/(-6109) + 1*3. Let s = 798/205 + v. Factor -8/5 + 2*b + s*b**2.
2*(b + 1)*(9*b - 4)/5
Let t = -1590 + 1599. Let i be (5/(-20))/(t/(-24)). Factor 4/3*g**2 - 4/3 + i*g - 2/3*g**3.
-2*(g - 2)*(g - 1)*(g + 1)/3
Suppose -16*v + 28*v = -125*v + 274. Let y(h) be the first derivative of -6*h**4 - 9 - 2/3*h**6 + 16/5*h**5 + 0*h + 16/3*h**3 - 2*h**v. Solve y(g) = 0.
0, 1
Let r = -22452 + 22454. Solve 0 - 2/7*t**3 + 12/7*t**r - 18/7*t = 0.
0, 3
Let i be 6*(19 + 2340/(-126))*(-21)/(-18). Factor -9/2*w**i + 0*w + 0 - 3/2*w**4 + 27*w**2.
-3*w**2*(w - 3)*(w + 6)/2
Let v = 9 + -5. Let s be (-3)/(-12) - ((-89)/356 + 19/(-10)). Solve 8/5 + v*p - s*p**2 = 0 for p.
-1/3, 2
Let u(q) = 2*q**2 - q + 2. Let k(w) = -w**3 + 5*w**2 - 4*w + 21. Let h be k(5). Let r(s) = 9*s**2 + 4*s + 23. Let c(v) = h*r(v) - 4*u(v). Factor c(n).
(n + 3)*(n + 5)
Let x(b) be the third derivative of -b**5/30 + 25*b**4/3 - 128*b**3 + 60*b**2 + 60*b + 2. What is m in x(m) = 0?
4, 96
Solve -195/4*n**2 + 3/4*n**3 - 549/4 + 741/4*n = 0.
1, 3, 61
Let b(z) = 8*z**3 + z**2 - 12*z - 3 + 14*z + 1. Let j be b(1). Suppose 32*a + 48*a**2 + 4*a**4 + j + 49*a**3 - 9 - 25*a**3 = 0. Calculate a.
-2, 0
Suppose -3*h = 2*m - 30, -40 = -4*h + 2*m + 2*m. Suppose -10*r = -h - 10. Factor -11*k**2 - 19*k**r + 11*k**4 + 200*k - 125 - 40*k**3 - 16*k**4.
-5*(k - 1)**2*(k + 5)**2
Let s be -2 - (-15 - (6 + -12)). Solve -14*u**3 + s*u**2 - 12*u**3 + 18*u**2 + 6*u**3 - 5*u**4 = 0 for u.
-5, 0, 1
Let 3*o + 5*o**3 + 29/2*o**2 - 13/2*o**4 + 0 = 0. Calculate o.
-1, -3/13, 0, 2
Let r = 150/2491 + -5289593/19928. Let h = -262 - r. Factor -h*k + 13/4*k**3 + 9/4*k**2 - 27/8 + 9/8*k**4 + 1/8*k**5.
(k - 1)*(k + 1)*(k + 3)**3/8
Determine m, given that 1/5*m**2 - 37*m - 186/5 = 0.
-1, 186
Let y(k) be the third derivative of -17/200*k**6 + 0 + 289*k**2 + 0*k + 169/30*k**4 - 52/25*k**5 + 0*k**3 - 1/1050*k**7. Determine f so that y(f) = 0.
-26, 0, 1
Let q = -975369 - -975396. Determine i so that -39/2*i**2 - 3/2*i**4 + q - 9/2*i + 21/2*i**3 = 0.
-1, 2, 3
Suppose 5*a = 4*o + 63, -o - 2*a = -299 + 266. Factor -7/2*x**2 - 13/2*x - 3 + 1/2*x**o + 1/2*x**4.
(x - 3)*(x + 1)**2*(x + 2)/2
Let z(l) be the third derivative of -l**6/150 - 98*l**5/75 - 9*l**2 + 8. Factor z(v).
-4*v**2*(v + 98)/5
Factor -1713954816*h + 5176/3*h**4 + 424016640*h**2 + 2/3*h**5 + 4458248/3*h**3 + 1719926784.
2*(h - 2)**2*(h + 864)**3/3
Let i(q) = 21*q**3 - 15550*q**2 - 10327*q + 27. Let f(o) = -16*o**3 + 11664*o**2 + 7745*o - 21. Let m(u) = 9*f(u) + 7*i(u). Determine z, given that m(z) = 0.
-2/3, 0, 1292
Suppose 86*d - 243 - 136 = 51. Let 8*r - 37/2*r**3 - 6 + 19/2*r**4 + 17/2*r**2 - 3/2*r**d = 0. What is r?
-2/3, 1, 2, 3
Factor -564*b**2 + 2*b**3 - 468 + b**3 + 339*b + 690*b**2.
3*(b - 1)*(b + 4)*(b + 39)
Let f = 1448 - 1443. Let j(w) be the second derivative of -1/6*w**4 + 0 - 2*w - 1/9*w**2 - 2/9*w**3 - 2/45*w**f. Factor j(l).
-2*(l + 1)**2*(4*l + 1)/9
Factor -54/11*l + 320/11 - 2/11*l**2.
-2*(l - 5)*(l + 32)/11
Suppose 19789 = -58*d - 18143. Let r be (26/(-28) - -1)/((-109)/d). Factor 240/7*l**2 + 30/7*l**4 + 96/7 + r*l**5 + 240/7*l + 120/7*l**3.
3*(l + 2)**5/7
Suppose 99 = 1543*u - 1510*u. Let v(o) be the third derivative of 0*o**u + 1/112*o**8 - 4/5*o**5 - 9/70*o**7 - o**2 + 0 + 0*o + 0*o**4 + 3/5*o**6. Factor v(r).
3*r**2*(r - 4)**2*(r - 1)
Let w(d) be the third derivative of 195*d**2 + 3/2*d**4 - 7/90*d**6 + 0 + 20/9*d**3 - 2/3*d**5 + 0*d. Factor w(n).
-4*(n - 1)*(n + 5)*(7*n + 2)/3
Suppose -3*u - 2537 = -46*u. Solve -1 - 60*y - 1 + 2*y**2 - y**2 - u*y**2 = 0 for y.
-1, -1/29
Let b(n) be the second derivative of 1/40*n**5 - 7/2*n**3 + 19/24*n**4 - 21 - 6*n + 0*n**2. Factor b(c).
c*(c - 2)*(c + 21)/2
Let i(t) be the second derivative of -t**6/65 + t**5/65 + 7*t**4/26 + 4*t**3/39 - 12*t**2/13 - 14*t + 27. Determine p, given that i(p) = 0.
-2, -1, 2/3, 3
Let j(r) be the third derivative of 0 + 0*r + 45*r**2 + 5/6*r**4 + 1/30*r**6 + 0*r**3 + 2/5*r**5. Factor j(l).
4*l*(l + 1)*(l + 5)
Suppose -143*b + 146*b = 6. Suppose -a = -4*o + 3, 9 = -2*o + 3*a - b. Suppose -2*x**o + 0 + 4/7*x + 10/7*x**3 = 0. Calculate x.
0, 2/5, 1
Let u(x) be the first derivative of x**3 - 534*x**2 + 95052*x - 783. Factor u(p).
3*(p - 178)**2
Let c = -94278 - -94280. Factor 9/8 + 3/8*b - 9/8*b**c - 3/8*b**3.
-3*(b - 1)*(b + 1)*(b + 3)/8
Let n(w) be the third derivative of w**8/168 - 4*w**7/105 - 7*w**6/20 + 10*w**5/3 - 25*w**4/3 - 4*w**2 - 252. Factor n(k).
2*k*(k - 5)*(k - 2)**2*(k + 5)
Let r(y) = y**2 + 7*y + 6. Let f(x) = -35*x + 4 - 2 - 37*x + 73*x. Let h(b) = -6*f(b) + r(b). Solve h(o) = 0.
-3, 2
Let j be ((-78)/24 - -5) + (-2)/4. Let l be (-39)/(-13) - (-55)/(-20). Factor -l*c**2 - 1/2*c**3 + j*c - 1/2.
-(c - 1)*(c + 2)*(2*c - 1)/4
Factor 235/2 - 37/4*r - 1/4*r**2.
-(r - 10)*(r + 47)/4
Let o be ((-6)/15)/((4/40)/(-1)). Suppose 4*g = o, 0*h = -h + 3*g. Factor 4*p**5 - p**3 + 5*p**h - 8*p**3.
4*p**3*(p - 1)*(p + 1)
Factor -2/15*h**2 + 2*h + 992/15.
-2*(h - 31)*(h + 16)/15
Factor -680*z**2 - 59*z**3 + 32*z**4 - 11*z**4 + 432*z**2 - 7*z**4 - 13*z**4 - 252*z.
z*(z - 63)*(z + 2)**2
Let k = 622424/195959 + 2/11527. Let a = 341/102 - k. Determine n so that -1 - 7/6*n - a*n**2 = 0.
-6, -1
Let g be ((-4)/4)/((6 + -14)/1). Let k(r) be the first derivative of -1/6*r**3 + g*r**4 - 3/2*r - 5/4*r**2 + 18. Factor k(b).
(b - 3)*(b + 1)**2/2
Let v = -74300 + 74300. Suppose -2/5*w**3 + v - 16/5*w + 12/5*w**2 = 0. What is w?
0, 2, 4
Let d be (50/(-2))/(1995/(-798)). Let f(x) be the second derivative 