 + 1)*(j + 2)**2
Let m = 319 - 206. Let j = m + 1. Factor 39*s + j + 2*s**2 - 42 - 15*s.
2*(s + 6)**2
Let w(b) be the second derivative of -1/72*b**4 - 2*b - 7/4*b**2 + 114 - 11/18*b**3. Solve w(t) = 0 for t.
-21, -1
Suppose -11*q + 2 = -9. Suppose 2 = -5*s + 3*k, -3 = 3*s - 2*k - q. Factor 0*f - f**2 + s*f + 3*f**3 - 4*f + 6*f**2.
f*(f + 2)*(3*f - 1)
Suppose i = -2*k + k + 16, -k - 69 = -4*i. Solve 14 - 2*m**2 + i + 16 - 35 - 10*m = 0 for m.
-6, 1
Let u(c) be the first derivative of 3*c**5/20 - 379*c**4/16 + 2067*c**3/2 - 6789*c**2/2 + 1922*c + 1586. Find k such that u(k) = 0.
1/3, 2, 62
Suppose -57 = -6*h + 231. Factor -34*l**2 + 75*l**2 - 12 + h*l - 8*l**2 - 27*l**3.
-3*(l - 2)*(l + 1)*(9*l - 2)
Suppose 48*v + 5502 - 5598 = 0. Let n(g) be the first derivative of 10/7*g**v + 12 + 2/21*g**3 + 50/7*g. Let n(y) = 0. Calculate y.
-5
Let f(v) = v**2 + 15*v**2 + v - v**3 - 4 - 9*v**2. Let u be f(5). Solve 63*t**3 - 3*t**4 - 3*t**5 - 3*t**4 - u*t**3 + 6*t**2 - 9*t + 0*t = 0.
-3, -1, 0, 1
Let i = -15 - -20. Suppose -5*n**3 + 12*n**2 + 98*n**3 + 399*n**i + 12*n**2 + 163*n**3 - 641*n**5 + 638*n**4 = 0. Calculate n.
-2/11, 0, 3
Let n(h) be the first derivative of 22*h**3/21 + 109*h**2/7 - 20*h/7 - 4947. Factor n(s).
2*(s + 10)*(11*s - 1)/7
Let o = -377420 - -377423. Find s such that s**4 - 8/3 + 26/3*s - 25/3*s**2 + 4/3*s**o = 0.
-4, 2/3, 1
Let p(o) be the third derivative of -9*o**2 + 2/15*o**5 + 0 - 4/3*o**3 - 1/6*o**4 + 1/30*o**6 - o. What is k in p(k) = 0?
-2, -1, 1
Let m(i) be the third derivative of i**8/1344 + i**7/168 + i**6/240 - i**5/12 - i**4/4 + 3950*i**2. Suppose m(b) = 0. Calculate b.
-3, -2, 0, 2
Let m(c) be the second derivative of 3*c**4/8 - 23*c**3/12 - 75*c**2/2 - 6105*c + 1. Factor m(s).
(s + 3)*(9*s - 50)/2
Let h(f) = 1242*f - 18626. Let l be h(15). Find m, given that -5/3*m**l - 20/3 + 25/3*m**3 - 5/3*m**5 + 25/3*m**2 - 20/3*m = 0.
-2, -1, 1, 2
Suppose 62*s - 58*s - 248 = 0. Solve 51*i**2 + s*i**2 - 72*i**3 + 139*i**2 - 20*i**4 + 48 - 208*i = 0 for i.
-6, 2/5, 1
Let b = -35263/194 + 26/97. Let k = -181 - b. Factor -k*h**2 + 1/4*h**5 - 3/4*h - 1/4 + 1/2*h**3 + 3/4*h**4.
(h - 1)*(h + 1)**4/4
Let j(m) be the second derivative of 25*m**7/14 - 77*m**6/6 + 145*m**5/4 - 205*m**4/4 + 110*m**3/3 - 10*m**2 + 2*m - 877. Find i such that j(i) = 0.
2/15, 1, 2
Let b(s) be the second derivative of s**6/1800 + 2*s**5/75 + 8*s**4/15 - s**3 - 2*s**2 - 5*s + 7. Let t(q) be the second derivative of b(q). Factor t(c).
(c + 8)**2/5
Let i be (-865)/40 + (-6)/16 - -6. Let s be i/(-12)*(-1 + 4). Factor 7/2*u + 1 + 9/2*u**2 + 5/2*u**3 + 1/2*u**s.
(u + 1)**3*(u + 2)/2
Let k(g) be the first derivative of -g**4/28 + 55*g**3/21 - 783*g**2/14 + 729*g/7 + 796. Factor k(i).
-(i - 27)**2*(i - 1)/7
Let r = 77952 + -311803/4. Find b such that b - b**3 + r - 3/2*b**2 + 1/4*b**4 = 0.
-1, 1, 5
Let t(l) = -37*l**2 - 188*l - 371. Let k(q) = -13*q**2 - 62*q - 124. Let s(n) = 11*k(n) - 4*t(n). Suppose s(b) = 0. What is b?
-12, -2
Let l(b) be the second derivative of b**5/50 - b**4/3 + 19*b**3/15 + 6*b**2 + 3*b + 25. Suppose l(p) = 0. Calculate p.
-1, 5, 6
Let m = 26394/5 + -5278. Find r, given that 21/5*r**4 + 0*r + 49/5*r**5 + m*r**2 - 24/5*r**3 + 0 = 0.
-1, 0, 2/7
Suppose 9*o + 4*g - 18 = 10*o, 5*g = 3*o + 19. Solve 0*y**o - 3629*y + 2*y**2 + 3581*y = 0 for y.
0, 24
Let z = 1057477/2 - 528726. Let -15/2 + z*d + 5*d**2 = 0. Calculate d.
-3, 1/2
Let 0*t + 96*t**2 + 0 + 1/3*t**5 + 142/3*t**3 - 145/3*t**4 = 0. What is t?
-1, 0, 2, 144
Let d = -134 - -154. Suppose -2*q + 18 = -3*a + 10, 5*q - d = 3*a. Determine g, given that -2/3*g - 1/3*g**2 + g**4 + 4/3*g**3 + a = 0.
-1, 0, 2/3
Let p(r) be the third derivative of r**5/150 + 74*r**4/15 - 596*r**3/15 - 587*r**2 - r. Solve p(b) = 0 for b.
-298, 2
Let y = -18 + 16. Let p be (-2 - 9)/1*y. Let -53*u**3 + 23*u**4 - 8*u**5 + 7*u**4 - p*u**3 + 5*u**5 = 0. What is u?
0, 5
Find s such that -63*s**2 - 33/2*s**3 + 345/2*s - 375/4 + 3/4*s**4 = 0.
-5, 1, 25
Factor -427*f + 208*f + 197*f - f**2 + 4*f**2 - 4*f**2 + 23.
-(f - 1)*(f + 23)
Let v(u) = 3*u**3 - 135*u**2 - 24*u. Let k(w) = 5*w**3 - 270*w**2 - 44*w. Let b(a) = -6*k(a) + 11*v(a). Factor b(l).
3*l**2*(l + 45)
Suppose 164*b - 2 = 163*b. Factor 50 - b*s**2 + 1065*s - 7*s**2 - 1050*s + 4*s**2.
-5*(s - 5)*(s + 2)
Suppose -4*x - 3*j + 63 = 0, 0 = 4*x - 23*j + 18*j - 23. Solve 6*i**3 + 3*i + x*i**3 - 21*i**3 + 9 - 5*i**2 + 4*i**3 = 0 for i.
-1, 3
Let d = -585441 + 585444. Factor -3/2*w**d + 9*w**2 + 12 - 18*w.
-3*(w - 2)**3/2
What is d in -2/5*d**2 + 136/5*d + 138/5 = 0?
-1, 69
Let d = -8847 + 70777/8. Let y(m) be the third derivative of -9/4*m**3 + 0*m + 0 - d*m**4 + 14*m**2 - 1/360*m**5. Factor y(x).
-(x + 9)**2/6
Factor -1154*u**2 - 40*u**3 - 1118*u**2 + 4*u**4 + 4547*u**2 - 48*u - 1174*u**2 - 1193*u**2.
4*u*(u - 12)*(u + 1)**2
Let q = 2955/88 + -257/8. Let g = 12/563 - -17884/6193. Solve 0*w + 0 + q*w**3 - g*w**2 - 2/11*w**4 = 0 for w.
0, 4
Suppose -16 = -6*x + 2. Let h be (1 + (-4 - -3) + x)/1. Suppose -24*z**4 - 21*z + 12*z**4 + 13*z**2 - 15*z**3 - 4*z**2 + 39*z**h + 6 = 0. Calculate z.
-1, 1/2, 2
Let u(t) be the third derivative of 1/6*t**4 + 8/9*t**3 - 77*t**2 + 0 + 1/90*t**5 + 0*t. Factor u(b).
2*(b + 2)*(b + 4)/3
Let a = -715 - -717. Suppose -g + 20 + 119 = 0. Suppose 28*c**3 - g - 224*c + 3*c**4 + 66*c**a - c**4 + 267 = 0. What is c?
-8, 1
Let v = 211 - 209. Factor 604*s + v*s**3 + 1187*s + 130*s**2 + 255*s - 2178.
2*(s - 1)*(s + 33)**2
Let f(u) = u**3 - 7*u**2 - 4*u - 28. Let t be f(8). Factor -d**3 - 96*d**4 + 76*d**t - 21*d - 4*d**3 - 9*d + 55*d**2.
-5*d*(d - 1)*(d + 2)*(4*d - 3)
Let 25/3*g**2 + 208*g - 52*g**3 + 12*g**4 - 676/3 = 0. What is g?
-2, 2, 13/6
Let q(x) be the second derivative of 8/9*x**2 + 1/135*x**6 + 61*x - 1/90*x**5 - 1/9*x**4 + 4/27*x**3 + 0. Find g such that q(g) = 0.
-2, -1, 2
Suppose 27*h - 25*h + 3*n - 18 = 0, 5*h - 27 = -3*n. Suppose 0 - 1/2*k**h - 1/6*k**4 + 1/6*k**2 + 1/2*k = 0. Calculate k.
-3, -1, 0, 1
Let c be (-4)/6*1 + 19669/9078. Factor -c*d**2 + 0*d + 1/4*d**3 + 0.
d**2*(d - 6)/4
Let i(p) = 9*p**4 - 205*p**3 + 752*p**2 - 741*p + 5. Let m(d) = 5*d**4 - 103*d**3 + 376*d**2 - 371*d + 3. Let y(u) = -6*i(u) + 10*m(u). Factor y(j).
-4*j*(j - 46)*(j - 2)**2
What is c in -502*c**3 + 30*c**5 + 257*c + 1129*c**3 - 36 - 219*c**4 - 20*c - 114*c**3 + 0*c - 525*c**2 = 0?
3/10, 1, 4
Suppose -42*c - 150 = 22*c - 74*c. Let v = 2 - -3. Factor -10*n - c*n**2 - 144 + 15*n**4 + 144 + 5*n**v + 5*n**3.
5*n*(n - 1)*(n + 1)**2*(n + 2)
Solve -4*n**2 - 4222*n + 4993*n + 7*n**2 = 0.
-257, 0
Let z(o) be the third derivative of -o**9/12096 - o**8/168 - o**5/6 + o**3/6 + 35*o**2 + 2. Let d(j) be the third derivative of z(j). Solve d(l) = 0 for l.
-24, 0
Let i(q) be the first derivative of -2*q**5/5 - 19*q**4/2 + 2*q**3/3 + 19*q**2 + 333. Factor i(u).
-2*u*(u - 1)*(u + 1)*(u + 19)
Let i = -1983 + 71389/36. Let o(n) be the second derivative of 0 + 15*n - n**2 + i*n**4 + 5/18*n**3. Suppose o(h) = 0. Calculate h.
-6, 1
Let b(m) be the first derivative of -m**4/4 + 61*m**3/3 - 329*m**2 - 420. Determine y so that b(y) = 0.
0, 14, 47
Let v(s) be the second derivative of 1/2*s**4 + 0*s**3 + 111*s - 3/2*s**2 + 0 - 1/10*s**6 + 0*s**5. What is f in v(f) = 0?
-1, 1
Let c(o) be the first derivative of -2*o**3/3 - 32*o**2 + 116. Determine t so that c(t) = 0.
-32, 0
Let i(b) be the third derivative of b**6/90 + 2*b**5/9 - 17*b**4/18 - 44*b**3/3 + 236*b**2. Factor i(s).
4*(s - 3)*(s + 2)*(s + 11)/3
Let o(w) be the third derivative of -w**7/42 - 31*w**6/3 + 125*w**5/2 - 470*w**4/3 + 1255*w**3/6 - 817*w**2. Factor o(f).
-5*(f - 1)**3*(f + 251)
Suppose 4*k = 12, 30*k - 35*k = 4*y - 155. Factor -y*n**2 + 916*n**4 - 911*n**4 - 10*n**3 + 30 - 25*n + 35*n**3.
5*(n - 1)**2*(n + 1)*(n + 6)
Let c(s) = 2*s**3 + 99*s**2 + 1072*s + 3. Let t be c(-16). Let d(p) be the first derivative of -p**t - 32 + 9/2*p**2 + 0*p. Factor d(m).
-3*m*(m - 3)
What is v in -394/5*v + 2/5*v**3 - 60 - 92/5*v**2 = 0?
-3, -1, 50
Let l be 10/52*41769/12852. Let i = -39 + 313/8. Let -1/2 - i*k**2 - l*k = 0. Calculate k.
-4, -1
Let d(p) be the second derivative of p**7/147 + 38*p**6/105 - 26*p**5/35 - 676*p**4/3 + 4*p - 147. Factor d(c).
2*c**2*(c - 14)*(c + 26)**2/7
Let v = 203 + -185. Factor q**3 + 52*q + 6 + 8*q**2 - 10*