. Calculate n.
2, 5
Let f be (-33)/(-2) + (-18)/12 + 1. Suppose 3*x + 5*u + f = 0, 0*x - 5*x - 4*u = 5. Let 0*t - 2*t**3 + x - 1 + t + t**3 - 2*t**2 = 0. Calculate t.
-2, -1, 1
Let k(j) = j**2 + 2*j + 1. Let n(f) = -10*f**2 + 4776*f - 5745618. Let r(i) = 9*k(i) + n(i). Determine y so that r(y) = 0.
2397
Let m(l) = l**3 - 32*l**2 + 81*l - 45. Let d(q) = -16*q**2 + 40*q - 22. Let y(s) = -5*d(s) + 2*m(s). Factor y(p).
2*(p - 1)**2*(p + 10)
Let h be -1*10/2 + (-95)/(-19). Suppose 2*k - 8 = -n, -3 = 3*n - 3*k - h*k. What is b in -1/3*b**3 + 1/6*b**5 + 1/3 + 1/6*b - 2/3*b**n + 1/3*b**4 = 0?
-2, -1, 1
Let x(n) be the third derivative of n**7/12600 - n**6/450 + 2*n**5/75 + 127*n**4/24 - 8*n**2 - n. Let m(f) be the second derivative of x(f). Factor m(i).
(i - 4)**2/5
Let h(g) = g**2 - 21. Let p be h(5). Let b be p/(-12)*(-2)/24*4. Factor 0*r**2 + 1/9*r**3 + 0 - b*r.
r*(r - 1)*(r + 1)/9
Let h(v) be the third derivative of -44*v**2 + 0*v + 1/60*v**5 + 2 - 1/600*v**6 - 1/210*v**7 + 0*v**3 + 1/1680*v**8 + 0*v**4. Determine c so that h(c) = 0.
-1, 0, 1, 5
Let z(l) be the third derivative of -l**9/1008 + l**8/112 - l**7/40 + l**6/40 - 40*l**3/3 - 116*l**2. Let f(k) be the first derivative of z(k). Factor f(j).
-3*j**2*(j - 3)*(j - 1)**2
Let d(c) be the third derivative of c**6/200 - 97*c**5/100 + 322*c**4/5 - 1058*c**3 - 20*c**2 - 3*c - 7. Factor d(j).
3*(j - 46)**2*(j - 5)/5
Let h(o) be the third derivative of -2*o**7/315 - o**6/15 - 8*o**5/45 + o**4/3 + 2*o**3 - 2792*o**2. Determine g so that h(g) = 0.
-3, -1, 1
Let f(h) = h**3 - 5*h**2 - 2*h. Let y(a) = 26*a**3 + 412*a**2 + 302*a - 132. Let s(z) = 12*f(z) - y(z). Factor s(j).
-2*(j + 1)*(j + 33)*(7*j - 2)
Let n(g) be the first derivative of 7*g**5/20 - 75*g**4/16 - 17*g**3 - 13*g**2/2 + 3716. Factor n(m).
m*(m - 13)*(m + 2)*(7*m + 2)/4
Let u be (160272/(-17172))/((-49)/54). Suppose -k + q = -2*q - 15, -q = 5*k - 11. Solve -54/7*c**5 - 24/7*c + 48/7*c**2 + 0 - u*c**4 + 102/7*c**k = 0.
-2, -2/3, 0, 1/3, 1
Let m(h) = h**3 + 7*h**2 + 11*h - 2. Let n be m(-4). Solve n*i**2 + 22*i - 15*i - 15*i - 3*i**2 - 16 = 0 for i.
-4
Let w(f) be the third derivative of 0*f**3 + f - 14/3*f**4 + 0 + 66/5*f**5 + 7/15*f**7 - 10*f**2 - 119/10*f**6. Factor w(x).
2*x*(x - 14)*(7*x - 2)**2
Let v = -218 - -242. Factor -327*b + 2*b**2 - v - 38 + 267*b.
2*(b - 31)*(b + 1)
Let q(v) = -5*v**2 - 337*v + 9837. Let b be q(22). Solve 21*k - 15/2*k**2 + 12 - b*k**3 = 0 for k.
-4, -1/2, 2
Let c(h) be the first derivative of -2*h**5/25 + h**4/5 - 2*h**2/5 + 2*h/5 - 1209. What is a in c(a) = 0?
-1, 1
Let r(s) = 14*s**3 - 14*s**2 - 8*s + 8. Let w(t) = 9*t**3 - 9*t**2 - 5*t + 5. Let a = 26 + -18. Let u(j) = a*w(j) - 5*r(j). Let u(x) = 0. What is x?
0, 1
Let j(q) be the first derivative of -4*q**5/5 - q**4 + 32*q**3/3 + 24*q**2 + 6763. Factor j(y).
-4*y*(y - 3)*(y + 2)**2
Suppose -693550*w - 31891/4*w**3 - 535565/4*w**2 - 1176125 + 373/4*w**4 - 1/4*w**5 = 0. Calculate w.
-5, 194
Suppose -j = -5*p - 2*j + 29, 5*j = p + 15. Solve -6*l**3 + 12*l**4 + 33*l**3 - 9*l**3 - 8*l**2 - 24*l + 2*l**p = 0 for l.
-3, -2, 0, 1
Let y = 1393001/5 + -277437. Let i = y + -1158. Factor 8/5 + i*b**2 + 2/5*b**4 + 24/5*b + 12/5*b**3.
2*(b + 1)**2*(b + 2)**2/5
Let x = 10191 - 40763/4. Let s(g) be the second derivative of 3*g + 2/5*g**3 + 0 + x*g**4 + 0*g**2 + 3/100*g**5. Factor s(l).
3*l*(l + 1)*(l + 4)/5
Let s be (-2)/11 - ((-39324)/4290 + 6). Let g = 44/13 - s. Let 0 + 0*t + 0*t**2 + 8/5*t**4 + g*t**5 + 8/5*t**3 = 0. What is t?
-2, 0
Suppose 14*o - 61 = -v, 0 = -5*o - 4*v - 2*v + 10*v. Solve -50/3*t**3 - 2*t**o - 142/3*t**2 - 50*t - 12 = 0.
-3, -2, -1/3
Let f be 21/(-14)*2/1. Let k be 1/5 - f/(-15). Find s, given that -3*s**4 + k*s**4 + 6*s**3 - 3*s**5 + 170*s**2 - 164*s**2 - 3*s - 3 = 0.
-1, 1
Let p(s) be the second derivative of -s**6/720 - 31*s**5/60 - 961*s**4/12 + s**3/3 - 106*s**2 - 284*s. Let q(v) be the second derivative of p(v). Factor q(d).
-(d + 62)**2/2
Let n(l) = 56*l**2 + 50*l - 244. Let k(z) = -9*z**2 + 2. Let w(o) = 6*k(o) + n(o). Let w(y) = 0. Calculate y.
-29, 4
Suppose -2*h + 121 + 33 = 4*l, -338 = -4*h + 2*l. Factor -h*f + 56*f - 4*f**3 - 32*f**2 - 37*f.
-4*f*(f + 4)**2
Let i(t) be the first derivative of 28/13*t**2 - 2/39*t**3 - 392/13*t + 74. Let i(x) = 0. Calculate x.
14
Let j be -503*((-1759)/(-440) + (6 - 10)). Let w = -1/55 + j. Factor 3/4*s**3 - 9/8*s + w*s**2 - 3/4.
3*(s - 1)*(s + 2)*(2*s + 1)/8
Let c be ((-2)/16 - (-518)/(-1232))/((-150)/550). Find p, given that 72/5 + 1/5*p**3 + 12/5*p - c*p**2 = 0.
-2, 6
Let i = 107093 + -214167/2. Let -8*k**2 - i*k - 5/2 + 2*k**3 = 0. What is k?
-1/2, 5
Suppose d = -5*n + 10, -53*d + 50*d = 5*n - 10. Let 27/2*h**5 - 90*h**3 - 55/2*h - 3 + 0*h**4 - 85*h**n = 0. Calculate h.
-2, -1/3, 3
Let w(h) be the second derivative of -h**5/110 - 28*h**4/33 + 115*h**3/33 - 58*h**2/11 + 2960*h. Factor w(b).
-2*(b - 1)**2*(b + 58)/11
Let p(j) be the second derivative of -3*j**5/20 - 65*j**4/2 - 4473*j**3/2 - 23814*j**2 - 1132*j. Solve p(n) = 0 for n.
-63, -4
Let h(w) be the first derivative of -w**6/12 + 17*w**5/5 + 229*w**4/8 + 217*w**3/3 + 60*w**2 - 4001. Solve h(a) = 0.
-3, -2, -1, 0, 40
Let f(q) = q**3 + 6*q**2 + 7*q - 2. Let b be f(-4). Factor -8*l**2 + 5*l**3 - 16*l**2 + 33*l**2 - 24*l**b - 90*l.
5*l*(l - 6)*(l + 3)
Let s(b) be the second derivative of -b**7/336 + b**6/40 - 11*b**5/160 + b**4/48 + b**3/4 - b**2/2 + 365*b. Solve s(n) = 0.
-1, 1, 2
Let x be (10/(-6))/(35/(-42)). Let u be ((-6)/(-3) - 2) + -3 + 6. Factor 90*o**x + 17*o**4 + 30 - 12*o**4 + 10 - 100*o - 35*o**u.
5*(o - 2)**3*(o - 1)
Let c(v) be the first derivative of v**4/16 - 3*v**2/2 + 4*v + 1305. Solve c(p) = 0.
-4, 2
Factor 0 - 14/3*f**4 + 1/3*f**5 + 25/3*f**3 - 4*f**2 + 0*f.
f**2*(f - 12)*(f - 1)**2/3
Suppose -6*i = -a + 94, -a - 655*i - 71 = -650*i. Factor 30/7*f**a - 8/7*f**2 + 0*f - 8/7*f**5 - 24/7*f**3 + 0.
-2*f**2*(f - 2)**2*(4*f + 1)/7
Suppose 0*j = 12*j + 19*j - 93. Let l(d) be the first derivative of -28/3*d**j - 40*d**2 + 4/5*d**5 - 10 + 2*d**4 - 48*d. Suppose l(z) = 0. What is z?
-2, -1, 3
Let b(v) = 167*v**3 - 5*v**2 + 3*v - 3. Let t be b(1). Let 95 + 2*s**2 + 163 - t + 98*s = 0. Calculate s.
-48, -1
Let -1967*y**2 - 315*y + 6*y**3 + 1827*y**2 + 450 - y**3 = 0. What is y?
-3, 1, 30
Suppose 4*v + 437 = -3*r, -5*v = -r - 3*r + 554. Let y = -542/5 - v. Solve 2/5*g**5 + 12/5*g**4 + 26/5*g**3 + 0 + y*g + 24/5*g**2 = 0 for g.
-2, -1, 0
Let w(u) = -87*u**2 + 317*u + 509. Let o(m) = -8*m**2 + 5*m - 1. Let h(l) = 44*o(l) - 4*w(l). Factor h(y).
-4*(y + 2)*(y + 260)
Let x(b) be the first derivative of -b**6/42 + 134*b**5/35 + 39*b**4/2 + 824*b**3/21 + 551*b**2/14 + 138*b/7 + 190. Let x(l) = 0. What is l?
-1, 138
Let o(v) be the third derivative of 19/45*v**4 - 361/45*v**3 - 8*v + 0 - 2/225*v**5 + 3*v**2. Factor o(m).
-2*(2*m - 19)**2/15
Solve -18/13*b**2 + 0*b - 14/13*b**4 + 34/13*b**3 + 0 - 2/13*b**5 = 0.
-9, 0, 1
Let m(v) be the first derivative of -v**4/4 - 22*v**3 - 726*v**2 - 6*v + 32. Let l(h) be the first derivative of m(h). Find r, given that l(r) = 0.
-22
Suppose 0 = -25*s + 52936 + 9639. Factor -165*o**2 + s - 3*o**3 + 38*o**3 + 90*o - 2463.
5*(o - 4)*(o - 1)*(7*o + 2)
Suppose 2*r - 906*r = 316*r. Suppose -2/23*i**5 + r + 6/23*i**3 + 4/23*i**4 + 8/23*i - 16/23*i**2 = 0. What is i?
-2, 0, 1, 2
Factor -116427 - 591*y - 3/4*y**2.
-3*(y + 394)**2/4
Let i(q) = 346*q - 8648. Let u be i(25). Let d(l) be the third derivative of -1/2*l**4 + 30*l**u + 0 + 1/3*l**3 + 0*l + 1/6*l**5. Find f such that d(f) = 0.
1/5, 1
Factor 1130250*v**2 + 8240*v + 20 + 51425000*v**3 - 103984375/4*v**4.
-5*(v - 2)*(275*v + 2)**3/4
Let h = -20/9117 + 12176/9117. Let -h*p**2 - 8/3*p**4 + 4 - 8*p**3 + 22/3*p + 2/3*p**5 = 0. Calculate p.
-1, 1, 6
Let p(a) be the second derivative of a**4/16 + 461*a**3/8 + 345*a**2/2 - 3*a - 39. Determine i, given that p(i) = 0.
-460, -1
Solve 1/5*c**5 - 1/5*c**3 - 1/5*c**2 + 1/5*c**4 + 0*c + 0 = 0.
-1, 0, 1
Let i(w) be the first derivative of -55 - 18*w**2 - 32*w - 4/3*w**3. Determine c, given that i(c) = 0.
-8, -1
Let n = -113173 - -1358077/12. Factor 0*i - 1/12*i**2 + n.
-(i - 1)*(i + 1)/12
Suppose 4*m - 9 = -37. Let s(v) = 19*v**2 + 31*v. Let u(p) = p**2 + 3 + 5*p**2 + 10*p - 3. Let l(g) = m*u(g) + 2*s(g). Factor l(a).
-4*a*(a 