*b**4 - 22 - 3*b + 2/9*b**3. Solve n(s) = 0 for s.
-3, -1, 1
Let n be 16/32*(1 + 5). Suppose 0 = -0*w - n*w + 2*v + 8, 0 = w + 4*v - 12. Factor 7*f**4 + 9*f**4 + 5*f - w*f**2 - 6*f**4 - 5*f**5 - 6*f**2.
-5*f*(f - 1)**3*(f + 1)
Suppose 3/8*l**2 - 537/8*l + 267/4 = 0. What is l?
1, 178
Let u(g) be the first derivative of 8/5*g**5 - 4*g**4 + 0*g - 2*g**2 + 208 - 2/9*g**6 + 40/9*g**3. Suppose u(h) = 0. What is h?
0, 1, 3
Factor -3/7*q - 426/7 + 3/7*q**3 + 426/7*q**2.
3*(q - 1)*(q + 1)*(q + 142)/7
Let m be (270/20)/(6/4). Suppose 14*q - 5*i - 35 = m*q, -2*q - 6 = 2*i. Factor 0 + 1/2*r**q + r.
r*(r + 2)/2
Let d(v) be the second derivative of -v**6/10 - 39*v**5/5 - 69*v**4 + 16*v**3 + 2208*v**2 + 8*v + 43. Factor d(a).
-3*(a - 2)*(a + 4)**2*(a + 46)
Let r(x) be the second derivative of 1/6*x**4 - 107*x + 10/3*x**2 - 31/9*x**3 + 0. Let r(q) = 0. What is q?
1/3, 10
Let l(s) = 7*s**2 - 11165*s - 4. Let x(k) = 30*k**2 - 44655*k - 18. Let t(m) = 9*l(m) - 2*x(m). Factor t(r).
3*r*(r - 3725)
Let z be 42 + (-10 - (-2 + -7)). Suppose 0 = 18*l - z - 13. What is k in 5*k**4 + 0*k**2 - 5/2*k**l + 0 + 0*k = 0?
0, 1/2
Let c be (-48)/(-8) + (-2)/1. Let k(p) = 2*p**2 - 4*p - 16. Let h be k(c). Factor h - 9/5*o**2 + 3/5*o.
-3*o*(3*o - 1)/5
Let n(b) be the third derivative of -b**6/360 + 139*b**5/30 - 19321*b**4/6 + 10742476*b**3/9 + 284*b**2 - 3*b. Factor n(o).
-(o - 278)**3/3
Let m(u) be the first derivative of -u**3/24 - 432. Factor m(h).
-h**2/8
Let z(t) be the second derivative of -t**8/10080 + t**7/5040 + 5*t**3/6 - t**2 + 72*t. Let f(k) be the second derivative of z(k). Find l, given that f(l) = 0.
0, 1
Let h = -55977/2 - -27990. Factor 7/4*x + 1/4*x**2 + h.
(x + 1)*(x + 6)/4
Let o(t) = -5*t**3 + 322*t**2 - 951*t + 628. Let x(c) = 26*c**3 - 1609*c**2 + 4755*c - 3139. Let b(k) = -11*o(k) - 2*x(k). Suppose b(d) = 0. Calculate d.
1, 2, 105
Suppose 12 = q + 3*l, 6 + 6 = 5*q - l. Suppose -o - 13 = -q*p, -9*o + 4*o = 4*p - 30. Solve -11/5*j**4 + 7*j**3 + 1/5*j**5 + 0*j + 0 - 5*j**o = 0.
0, 1, 5
Let b(f) be the first derivative of -f**6/90 - 2*f**5/15 + 5*f**4/6 - 2*f**3/3 - 5*f**2 - 50. Let o(u) be the third derivative of b(u). Factor o(a).
-4*(a - 1)*(a + 5)
Let j(a) be the third derivative of a**6/40 - 33*a**5/20 + 263*a**4/8 - 231*a**3/2 - 36*a**2 + 7*a. Factor j(t).
3*(t - 21)*(t - 11)*(t - 1)
Suppose -732 + 2239 = 37*s + 727 + 706. Factor -7*t + 15/2 - 1/2*t**s.
-(t - 1)*(t + 15)/2
Let s(o) be the second derivative of 3/10*o**5 + 1/15*o**6 + 0*o**2 + 2*o + 1/3*o**3 + 1/2*o**4 + 14. Solve s(d) = 0.
-1, 0
Factor 0 + 27*z + 29/2*z**2 - 1/2*z**4 - 13*z**3.
-z*(z - 2)*(z + 1)*(z + 27)/2
Suppose 330 - 345 = -z. Factor -1/2*g**5 - 6*g**4 + 50*g**2 - z*g**3 + 0 + 375/2*g.
-g*(g - 3)*(g + 5)**3/2
Let b(d) be the second derivative of -d**4/120 + 57*d**3/10 - 29241*d**2/20 - 1360*d + 2. Suppose b(w) = 0. What is w?
171
Let s be (1 + 0)*(-6)/15*-5. Let c be (-4 + s)*(-2 - -1). Suppose -3*q**c - 4*q**2 + 0*q**2 - 3*q**2 - q**3 - 25*q = 0. Calculate q.
-5, 0
Let a(k) = -9*k**4 + 36*k**3 + 51*k**2 + 24*k + 12. Let w(n) = 16*n**4 - 70*n**3 - 102*n**2 - 49*n - 22. Let z(l) = 11*a(l) + 6*w(l). Factor z(g).
-3*g*(g + 1)*(g + 2)*(g + 5)
Suppose 171*o + 427*o + 309*o = 0. Let 3/4*z**3 - 6*z**2 - 27/4*z + o = 0. Calculate z.
-1, 0, 9
Let f be -1 - 111/(-105) - 45084/(-273105). Let 64/3*w - 512 - f*w**2 = 0. Calculate w.
48
Suppose 543*b - 1921 - 1305 + 511 = 0. Suppose 0*u**4 + 2*u**3 - 4/7*u**2 - 24/7*u - 2/7*u**b + 16/7 = 0. Calculate u.
-2, 1, 2
Factor 103/6*n + 17 + 1/6*n**2.
(n + 1)*(n + 102)/6
Let c be ((-2)/(-30))/(18/(-702))*(-4)/(-32)*-5. Factor -c*o**2 - 1/2 - 1/8*o**4 - 3/4*o**3 - 3/2*o.
-(o + 1)**2*(o + 2)**2/8
Let q be (7/(-105)*-5)/((-52)/(-24) + -2). Let y(f) be the third derivative of 0*f - 11/8*f**4 + 0 + 10*f**q + 7/20*f**5 + 2*f**3. Factor y(l).
3*(l - 1)*(7*l - 4)
Factor 1/7*j**2 - 241/7*j + 0.
j*(j - 241)/7
Let j(w) be the second derivative of 0*w**4 + 9/160*w**5 - 55*w + 0*w**2 + 0 - 1/4*w**3 + 1/80*w**6. Factor j(c).
3*c*(c - 1)*(c + 2)**2/8
Factor 445 - 118*j + 3*j**2 - 10*j - 23*j - 2227 - 20*j.
3*(j - 66)*(j + 9)
Suppose 170*g + 36 = 173*g. Determine b so that -4 + 3 - 3*b - g*b**2 + 19 - 3*b**3 = 0.
-3, -2, 1
Let j(m) be the first derivative of m**5/90 + 5*m**4/72 + m**3/9 + 3*m**2 - 2*m - 5. Let s(g) be the second derivative of j(g). Factor s(i).
(i + 2)*(2*i + 1)/3
Let u(x) be the first derivative of -82*x**3 - 66*x**2 + 81*x**3 - 161 - 29 - 1653*x + 201*x. Solve u(s) = 0.
-22
Let -72/11 + 2/11*z**5 + 64/11*z**3 + 52/11*z**2 + 20/11*z**4 - 6*z = 0. What is z?
-4, -3, -1, 1
Let g(x) = -x**2 - 7*x - 9. Let i be g(-3). Determine c, given that c**3 - 5*c**2 - 100*c + 13*c**i - 46 + c**3 - 14 = 0.
-2, -2/3, 3
Let j(n) = 3*n**4 + 9*n**3 + 33*n**2 - 24*n - 96. Let q(p) = p**4 + 2*p**3 + 8*p**2 - 6*p - 25. Let w(h) = 4*j(h) - 15*q(h). Factor w(t).
-3*(t - 3)*(t - 1)*(t + 1)**2
Let t(c) be the third derivative of -c**5/12 - 105*c**4/8 + 165*c**3 + 6365*c**2. Suppose t(w) = 0. Calculate w.
-66, 3
Let v(k) be the first derivative of -4*k**5/5 - 90*k**4 - 1732*k**3/3 - 1368*k**2 - 1360*k + 5097. Suppose v(t) = 0. What is t?
-85, -2, -1
Let j(x) = 3*x**2 - 15*x + 1. Let n(p) = 5*p**2 + 106*p + 278. Let r(i) = 6*j(i) - 3*n(i). Factor r(k).
3*(k - 138)*(k + 2)
Let t(y) be the third derivative of 1/70*y**7 + 59/480*y**6 + 0*y + 0 - 67*y**2 + 41/96*y**4 + 1/4*y**3 + 41/120*y**5. Suppose t(x) = 0. Calculate x.
-3, -1, -2/3, -1/4
Let z(o) be the third derivative of -o**6/24 + o**5 + 60*o**4 + 3812*o**2. Factor z(h).
-5*h*(h - 24)*(h + 12)
Let s = 191 - 166. Factor -6 + 0 - 9*v**2 + 39*v**2 + 1 - s*v.
5*(v - 1)*(6*v + 1)
Let g(b) be the second derivative of -b**6/40 - b**5/5 + 7*b**4/8 + 5*b**3 + 9*b**2 + 6*b - 4. Let s(k) be the first derivative of g(k). Factor s(p).
-3*(p - 2)*(p + 1)*(p + 5)
Suppose 4*i - 5 - 3 = 0. Let d be i - -6*(6 - (-105)/(-18)). Factor 2/3*u**2 - 1/6*u**d - 5/6*u + 1/3.
-(u - 2)*(u - 1)**2/6
Let x(o) be the second derivative of o**5/150 - o**4/15 + o**3/5 - 15*o**2/2 + 32*o. Let d(s) be the first derivative of x(s). Let d(k) = 0. What is k?
1, 3
What is m in -954962/3 + 2764/3*m - 2/3*m**2 = 0?
691
Let m be -2 - 0 - (-384)/(-16). Let o be m/(-8) - 1/4. Solve a**2 + a - o*a - 3 + 10*a**2 - 10*a**2 = 0 for a.
-1, 3
Let n be (-1)/(-7) + (51676/13412 - 4). Let h = 2401/1437 + n. Factor 1/6*v**5 + h*v**3 - 7/6*v**4 + 3*v**2 - 9/2 - 9/2*v.
(v - 3)**3*(v + 1)**2/6
Determine x so that -478*x**3 + 0 - 1/6*x**4 - 436861408/3*x - 456968*x**2 = 0.
-956, 0
Let v = 2257 - 1798. Let b be (4/3)/(-4)*v/(-255). Factor 294*w + 1029/5 + 504/5*w**2 + b*w**4 + 66/5*w**3.
3*(w + 1)*(w + 7)**3/5
Let p be (-10)/(-24)*((-11811)/(-635) + -15). Factor -1/4*j**3 - 2*j + p*j**2 + 0.
-j*(j - 4)*(j - 2)/4
Suppose 0*t = 7*t - 14. Factor -p**2 - t - 5*p + 2 - 10*p.
-p*(p + 15)
Let d(t) = 3*t**2 - 11*t + 202. Let b be d(18). Let n = b + -976. Factor -3/4*p**3 - 3/4*p**4 + 3/4*p**2 + 3/4*p + n.
-3*p*(p - 1)*(p + 1)**2/4
Let m(a) = -15*a**2 + 584*a + 12206. Let b be m(54). Factor 36/7 - 22/7*v + 2/7*v**b.
2*(v - 9)*(v - 2)/7
Suppose 24*s = 39*s - 19*s. Suppose s = 4*g - 14 + 2. Factor 1/2*t**4 + 0 + 5/2*t**g + 2*t**2 + 0*t.
t**2*(t + 1)*(t + 4)/2
Factor 450/7*d + 3888/7 + 2/7*d**2.
2*(d + 9)*(d + 216)/7
Factor -45/8*d - 1/8*d**3 + 23/4*d**2 + 0.
-d*(d - 45)*(d - 1)/8
Let z be -8 - (9/(-9) + -1). Let w be 7585/13530 - (1 - (-7)/z). Factor 6/11*d**3 - w*d**2 + 12/11 - 34/11*d.
2*(d - 3)*(d + 2)*(3*d - 1)/11
Let l(z) be the second derivative of 0 + 0*z**2 + 1/45*z**6 + 1/10*z**5 - 8/9*z**3 - 1/3*z**4 - 212*z. Factor l(v).
2*v*(v - 2)*(v + 1)*(v + 4)/3
Let r = 5800 - 5796. Let i(d) be the second derivative of 8/3*d**3 + 0 - 8*d**2 - 1/3*d**r - 9*d. Factor i(n).
-4*(n - 2)**2
Suppose -90*n + 79*n + 33 = 0. Let z(t) be the second derivative of 0*t**n + 0 + 11*t - 1/35*t**5 - 1/7*t**4 + 8/7*t**2. Factor z(f).
-4*(f - 1)*(f + 2)**2/7
Let f(h) = -h**3 - 8*h**2 + 2*h + 19. Let o be f(-8). Factor 305*v**o + 32*v**4 - 3*v**5 - 2187*v**2 + 127*v**4 - 2330*v**3.
-3*v**2*(v - 27)**2*(v + 1)
Suppose 2*n - 295 = 117. Suppose n + 186 = 4*l. Factor -x**5 + 16*x**3 + 5*x**5 + 112*x**4 + 4*x**2 - 6*x - l*x**4 - 2 + 2*x.
2*(x + 1)**4*(2*x - 1)
Let n(f) be the second derivative of -f**5/140 - 3*f**4/56 