ve b(f) = 0.
-17
Let c(o) = 21*o**3 - 5727*o**2 - 11397*o - 5709. Let b(l) = -3*l**3 + 818*l**2 + 1629*l + 816. Let m(h) = 15*b(h) + 2*c(h). Factor m(u).
-3*(u - 274)*(u + 1)**2
Let j be (12*(-8)/(-144))/(1/3). Factor -2*f**3 - 22*f**j - 22*f - 18*f - 32 + 6*f**2.
-2*(f + 2)**2*(f + 4)
Let c(f) be the first derivative of 5*f**4/4 - 520*f**3 + 3105*f**2/2 - 1550*f - 1154. Solve c(b) = 0.
1, 310
Factor 12*y**4 + 0*y**3 + 0*y**2 + 0 + 0*y + 2/3*y**5.
2*y**4*(y + 18)/3
Let q(j) be the third derivative of -j**10/75600 + j**9/7560 - j**8/2520 - 4*j**5/5 + j**3/3 + 38*j**2. Let u(t) be the third derivative of q(t). Factor u(h).
-2*h**2*(h - 2)**2
Let n(w) be the third derivative of 0*w + 0*w**4 + w**3 + 1/72*w**6 - 1/8*w**5 + 0 - 27*w**2. Let p(m) be the first derivative of n(m). Factor p(h).
5*h*(h - 3)
Factor 2592/11 + 2/11*p**3 - 642/11*p**2 - 1952/11*p.
2*(p - 324)*(p - 1)*(p + 4)/11
Let s(k) be the third derivative of k**6/1260 + k**5/140 + k**4/42 + 32*k**3/3 - 77*k**2. Let b(o) be the first derivative of s(o). Factor b(x).
2*(x + 1)*(x + 2)/7
Suppose 209*w = -190*w + 442*w - 215. Factor 3/7*j**w + 0 - 9/7*j**3 + 0*j**4 + 6/7*j**2 + 0*j.
3*j**2*(j - 1)**2*(j + 2)/7
Determine m, given that -97/4*m - 198 - 1/4*m**2 = 0.
-88, -9
Let p be (-5)/3*-549*8/300. Let i be (33/110)/((-6)/(-64)). Determine o, given that 132/5*o**2 + 6*o**5 - p*o**3 - 32/5*o**4 - i + 8/5*o = 0.
-2, -1/3, 2/5, 1, 2
Let y(g) = 3*g**4 + 30*g**3 + 70*g**2 + 4. Let r(p) = -12*p**4 - 120*p**3 - 279*p**2 - 18. Let k(x) = 2*r(x) + 9*y(x). Solve k(s) = 0 for s.
-6, -4, 0
Let f(y) be the third derivative of -1/12*y**5 - 88*y**2 + 1/8*y**6 - 5/8*y**4 + 0*y + 0 + 0*y**3 + 1/42*y**7. Find a, given that f(a) = 0.
-3, -1, 0, 1
Let t be ((-5206)/399 + 13)/(14/343)*116/(-7). Solve -961/6*a**4 - 239/2*a**2 - 2/3 + t*a - 899/3*a**3 = 0.
-1, 2/31
Let n(q) be the second derivative of 0*q**6 - 60*q - 8/11*q**2 + 1/33*q**4 + 0 - 7/110*q**5 + 4/11*q**3 + 1/231*q**7. Solve n(s) = 0.
-2, 1, 2
Let k(y) be the first derivative of y**3/4 + 121*y**2/8 + 39*y + 1667. Factor k(r).
(r + 39)*(3*r + 4)/4
Let g(j) be the third derivative of 0 + 0*j - 14/195*j**5 + 1/780*j**6 - 84*j**2 + 17/12*j**4 - 26/3*j**3. What is c in g(c) = 0?
2, 13
Let x(d) be the second derivative of d**7/3780 - d**6/1620 - d**5/270 - 46*d**3/3 - 2*d + 25. Let a(c) be the second derivative of x(c). Solve a(h) = 0.
-1, 0, 2
Suppose 2*c = -3*z + 24, -230*c - 2*z - 3 = -235*c. Determine g so that 0 - 10/7*g**c - 2/7*g**5 - 8/7*g**4 + 0*g - 4/7*g**2 = 0.
-2, -1, 0
Suppose 0 = n + r + 1, -4*n + r = 6 - 27. Let d be (-10 + n)/((-9)/6). Find f, given that -13/2*f**2 - f - 23/2*f**d - 27/2*f**3 - 7/2*f**5 + 0 = 0.
-1, -2/7, 0
Suppose 7*r - 24 = r. Suppose r*z = 45 - 25. Find c, given that -7 - 287*c - 14 + 1 + 312*c - z*c**2 = 0.
1, 4
Suppose 0 = -3*d - 1320 - 1095. Let l = 807 + d. Factor 28 - 8*t + 4/7*t**l.
4*(t - 7)**2/7
Let s be 6 + ((-8)/((-24)/29) - 9). Let k(j) be the first derivative of 0*j - s*j**3 + 4*j**2 + 15. Suppose k(b) = 0. Calculate b.
0, 2/5
Factor -2/19*l**2 - 1381122/19 - 3324/19*l.
-2*(l + 831)**2/19
Factor -6*q**2 + 72 + 10*q**2 - 40*q + 228 - 8*q**2.
-4*(q - 5)*(q + 15)
Let k be 4 - 7 - ((28 - 0) + 2). Let y = -5 - k. Let 44 + y*u + 6*u**2 - 4*u**2 + 54 = 0. Calculate u.
-7
Let g(i) be the second derivative of 0 + 2/33*i**3 - 1/22*i**4 - 4*i + 0*i**2 + 1/110*i**5. Solve g(n) = 0 for n.
0, 1, 2
Factor -1085*y**3 + 1070*y**3 + 30*y**2 - y**4 - 4*y**4 + 40*y.
-5*y*(y - 2)*(y + 1)*(y + 4)
Let s(i) be the second derivative of i**7/2520 - 7*i**6/1080 + i**5/60 - 283*i**3/6 - 77*i. Let y(x) be the second derivative of s(x). Factor y(v).
v*(v - 6)*(v - 1)/3
Suppose 2*o - 15 + 9 = 0, -o + 41 = 2*d. Suppose x - 4 = -2. Factor 0*q**3 + 28*q**4 - 11*q**3 - 8*q - 53*q**3 - d*q**x + 63*q**2.
4*q*(q - 1)**2*(7*q - 2)
Let i(j) be the first derivative of 98*j**5/15 + 217*j**4/8 + 653*j**3/18 + 39*j**2/4 - 27*j/2 - 2892. Determine k, given that i(k) = 0.
-9/7, -1, 1/4
Let u(c) be the first derivative of c**8/12600 - c**7/1260 + c**6/675 - c**3 + 5*c - 66. Let z(q) be the third derivative of u(q). Factor z(l).
2*l**2*(l - 4)*(l - 1)/15
Let w(m) be the first derivative of m**3 + 51*m**2 - 105*m + 493. Factor w(q).
3*(q - 1)*(q + 35)
Let v(c) = -3*c**3 + 10*c**2 + 2*c + 2. Let b(t) = -t - 3 + 3 - 1 - t**2 + t**3. Let z be (2 - 8)*(-49)/98. Let x(u) = z*v(u) + 6*b(u). Factor x(j).
-3*j**2*(j - 8)
Let x(b) be the third derivative of b**5/630 - 13*b**4/7 + 932*b**3/63 + 30*b**2 + 14. Suppose x(u) = 0. Calculate u.
2, 466
What is k in 0*k + 2/3*k**2 - 2/3 = 0?
-1, 1
Let p(m) be the second derivative of m**7/1120 + m**6/96 + m**5/20 + m**4/8 - 5*m**3/2 - 2*m**2 - 82*m. Let v(h) be the second derivative of p(h). Factor v(n).
3*(n + 1)*(n + 2)**2/4
Suppose 79625*v = 79589*v. Factor -1/2*j + v - 1/2*j**4 + 1/2*j**2 + 1/2*j**3.
-j*(j - 1)**2*(j + 1)/2
Suppose -3*d = 2*v - 52, -3*v - 2 = 1. Determine a, given that 24*a**2 + d*a**2 - 46*a**2 + 48 + 4*a = 0.
-3, 4
Let g(r) be the third derivative of -5*r**8/176 + 19*r**7/210 - 109*r**6/1320 - r**5/660 + r**4/44 + 5*r**2 + 19*r. Find y such that g(y) = 0.
-1/5, 0, 1/3, 6/7, 1
Let v(f) = -6*f**4 + 18*f**3 + 18*f**2 + 3*f - 15. Let w(n) = 11*n**4 - 31*n**3 - 37*n**2 - 4*n + 31. Let y(z) = 5*v(z) + 3*w(z). What is l in y(l) = 0?
-2, -1, 1, 3
Suppose -5*h - u + 3 = -205, 0 = -5*h + 3*u + 196. Suppose h = 14*n - 15. Solve 18*q - 2*q**n + 21*q**2 + 3*q**4 + 33*q**3 - 25*q**3 = 0 for q.
-3, -2, 0
Let n(k) be the first derivative of -5*k + 3/100*k**5 + 0*k**2 - 1/10*k**4 + 20 + 0*k**3. Let d(o) be the first derivative of n(o). Factor d(y).
3*y**2*(y - 2)/5
Let p(i) be the first derivative of -i**4/10 - 42*i**3/5 - 12*i**2 + 248*i/5 + 4604. Factor p(c).
-2*(c - 1)*(c + 2)*(c + 62)/5
Let z = -641 + 750. Determine b so that -90*b**2 - z*b**2 - 30*b**3 - 2*b**4 - 110 + b**4 - 296*b - 82 + 43*b**2 = 0.
-24, -2
Let u = -353 - -353. Suppose 0 = 2*t - 2*x - 14, -5*t + 14 = 2*x - u. Determine v so that 2/9*v - 2/9*v**3 + 0 + 2/9*v**2 - 2/9*v**t = 0.
-1, 0, 1
Let y(w) = 49*w**2 + 506*w + 1087. Let u be y(-3). Factor 1/2*v + u - 1/2*v**2.
-(v - 5)*(v + 4)/2
Let -5*c**2 + 6*c**2 + 3*c**3 - 71*c**2 + 189*c + 0*c**2 + 255 + 7*c**2 = 0. What is c?
-1, 5, 17
Determine m, given that -88/5*m**2 - 60*m - 216/5 - 4/5*m**3 = 0.
-18, -3, -1
Let m be ((-55)/(-44) - (-3)/(-4))*106. Suppose -62*h + m = -195. Let 8/3 - h*a**3 - 8*a + 2/3*a**4 + 26/3*a**2 = 0. What is a?
1, 2
Suppose 3551*w**2 - 1768*w**2 + 60466176 - 1779*w**2 + 31104*w = 0. Calculate w.
-3888
Let m = -113934 - -113939. Factor 25/2*h**m - 1/2*h**2 + 0*h + 0 + 11/2*h**3 - 35/2*h**4.
h**2*(h - 1)*(5*h - 1)**2/2
Let q be 104*130/1456 - (10 + (3 - 4)). What is u in 2*u**2 - 24/7 - q*u**3 - 8/7*u = 0?
-1, 2, 6
Suppose 12 = 1970*l - 1964*l. Let r(k) be the third derivative of -1/3*k**3 + 1/54*k**5 + 0*k + 0 + 1/540*k**6 - 15*k**l + 1/36*k**4. Solve r(o) = 0.
-3, 1
Determine f so that 6143*f - 6171*f + 72*f**3 - 68*f**3 + 24*f**2 - 240 = 0.
-5, -4, 3
Let w(o) be the second derivative of o**4/18 - 2*o**3/15 - 894*o. Factor w(b).
2*b*(5*b - 6)/15
Factor -99/2*l + 3/2*l**3 - 45/2*l**2 - 51/2.
3*(l - 17)*(l + 1)**2/2
Factor -672 - 1450*c - 126*c**4 - 3*c**5 - 200*c**2 + 382*c**2 - 1032*c**3 - 683*c - 2552*c**2.
-3*(c + 1)**3*(c + 7)*(c + 32)
Let j = -70715 + 353593/5. Find m such that -1/5*m**2 + j - 3/5*m = 0.
-6, 3
Suppose -9*z = 12 - 30. Solve 16*m**2 - 12 - m**z + 5*m**2 - 61 + 1 + 172*m = 0.
-9, 2/5
Let i = -166 + 168. Suppose 2*n + 2 = -2*l, 3*l = -5*n + i*l + 7. Let 0*k**3 + 2/9*k**4 + 4/9*k + 0 - 2/3*k**n = 0. What is k?
-2, 0, 1
Let a = 3295 + -9884/3. Let m(t) be the first derivative of 0*t - 1/5*t**5 + 0*t**2 + 4 + a*t**3 + 0*t**4. Let m(o) = 0. What is o?
-1, 0, 1
Factor -203/6*s + 0 - 101/3*s**2 + 1/6*s**3.
s*(s - 203)*(s + 1)/6
Let g be (40/60)/(2/(-15)). Let l be 1*g/((-70)/7). Factor 0 + h**2 + 0*h + l*h**3.
h**2*(h + 2)/2
Factor -1/5*u**3 - 72/5*u**2 + 1/5*u**4 + 0*u + 0.
u**2*(u - 9)*(u + 8)/5
Let q be (-5740)/15 + 1 + 2/(-6). Let m = -377 - q. Factor 2*o**2 + 1/2 + 7/4*o - 1/4*o**m - 1/2*o**4 + 1/2*o**3.
-(o - 2)*(o + 1)**4/4
Let q = -377 + 383. Let c(k) = 26*k**2 - 773*k + 227. Let f(m) = -27*m**2 + 771*m - 228. Let l(v) = q*c(v) + 5*f(v). Factor l(a).
3*