*2 - 2/3 - 8/3*c**n + 5*c = 0.
-1, 1/8, 2
Let u(i) = -i**3 + 6*i**2 - 10*i + 21. Let k be u(4). Factor -38*m**2 + 6*m + 53*m**2 + 4 - k*m**2.
2*(m + 1)*(m + 2)
Let u(s) be the first derivative of 4*s**5/5 - 4*s**4 - 76*s**3/3 + 92*s**2 - 96*s + 341. Solve u(o) = 0.
-4, 1, 6
Let t(l) be the second derivative of 0 + 1/5*l**5 - 246*l + 2/3*l**4 + 2/3*l**3 + 0*l**2. Factor t(i).
4*i*(i + 1)**2
Let g be (24/(-140))/(549/1708) - (-3)/5. Let t(n) be the third derivative of 0 - 24*n**2 + 1/150*n**5 + 0*n + g*n**4 + 1/5*n**3. Let t(m) = 0. Calculate m.
-3, -1
Let w(v) = 2*v**3 + 92*v**2 + 169*v + 85. Suppose 0 = -14*q + 2*q + 36. Let r(h) = -5*h**3 - 185*h**2 - 340*h - 170. Let t(x) = q*r(x) + 5*w(x). Solve t(p) = 0.
-17, -1
Solve -324*f**2 - 3*f**4 - 123*f**3 - 1356*f**2 - 144*f - 7500*f = 0.
-14, -13, 0
Let a(d) = -11*d**5 - 13*d**4 - 52*d**3 - 8*d**2 + 68*d + 4. Let v(k) = 3*k**5 + k**3 + k**2 - k - 1. Let o(z) = a(z) + 4*v(z). Find h, given that o(h) = 0.
-2, 0, 1, 16
Factor 2/5*r**3 - 44/5*r**2 + 178/5*r - 136/5.
2*(r - 17)*(r - 4)*(r - 1)/5
Let l = -2 + 5. Let n(v) = v**2 + 15*v + 31. Let q be n(-13). Factor -12*d**l - q + 4*d**4 + 51*d**2 - 47*d**2 + 12*d - 3.
4*(d - 2)*(d - 1)**2*(d + 1)
Suppose -3 + 3 = -3*p. Suppose -6*n = -p*n - 18. Factor 25*v**2 - 8*v**3 + 6*v**3 - 3*v**n.
-5*v**2*(v - 5)
Let g(k) be the second derivative of 3*k**7/49 - 88*k**6/105 - 9*k**5/35 + 88*k**4/21 + 3*k**3/7 - 88*k**2/7 + 3*k - 290. Determine i, given that g(i) = 0.
-1, 1, 88/9
Factor 141267/4 + 651/2*z + 3/4*z**2.
3*(z + 217)**2/4
Suppose -16*z - 617 = -1577. Suppose -60*p = -40*p - z. Factor -2/9*t**p + 2/9 + 2/3*t**2 - 2/3*t.
-2*(t - 1)**3/9
Suppose -92*d - 16*d**3 - 200 + 183/2*d**2 + 1/2*d**4 = 0. What is d?
-1, 4, 25
Determine y, given that 0*y**2 - 15495*y + 5*y**2 - 1170 + 15870*y = 0.
-78, 3
Let l(z) be the second derivative of 0*z**2 - 3/130*z**5 - 1/13*z**4 + 1/195*z**6 + 179*z + 8/39*z**3 + 0. Find k such that l(k) = 0.
-2, 0, 1, 4
Let p(o) = -46*o**2 - 3982*o - 2233. Let w be p(-86). Factor c**2 + c**w + 1/4*c**4 + 0*c + 0.
c**2*(c + 2)**2/4
Let x(o) be the third derivative of o**7/8 - 11*o**6/40 - o**5/20 + 18*o**3 - 113*o**2. Let f(i) be the first derivative of x(i). Solve f(s) = 0.
-2/35, 0, 1
Let z(w) = 22*w**2 + 346*w + 24. Let s(g) = -6*g - 1. Let i(f) = 16*s(f) - z(f). Factor i(t).
-2*(t + 20)*(11*t + 1)
Suppose 4*y - 10 = 5*p - 0*y, 2 = -4*p + 2*y. Let w = -1/37 + 39/74. What is t in w*t**p - 1/4 + 1/4*t = 0?
-1, 1/2
Let k(x) be the second derivative of -5*x**4/12 - 2105*x**3 - 7975845*x**2/2 + 2806*x. Factor k(o).
-5*(o + 1263)**2
Let i(o) be the first derivative of 9 - 2/15*o**3 + 0*o + 4/5*o**2. Factor i(j).
-2*j*(j - 4)/5
Factor -20*i**4 - 96/5*i**3 + 0 + 0*i + 0*i**2 - 4/5*i**5.
-4*i**3*(i + 1)*(i + 24)/5
Let s(m) be the second derivative of 3*m**6/40 + 19*m**5/40 + 5*m**4/4 + 32*m**3/3 + m**2/2 - m - 10. Let h(p) be the second derivative of s(p). Factor h(l).
3*(l + 1)*(9*l + 10)
Let f(g) be the second derivative of -g**7/126 + 19*g**6/90 - 28*g**5/15 + 47*g**4/9 + 32*g**3/9 - 128*g**2/3 + 1640*g. Find q such that f(q) = 0.
-1, 2, 8
Let n = -76 + 457/6. Suppose 0 = 3*d - 24, 0 = -140*g + 138*g - d + 12. Find o such that 1/6*o + 0 - n*o**g - 1/6*o**3 + 1/6*o**4 = 0.
-1, 0, 1
Let z(k) be the first derivative of 1/2*k**4 + 36*k**3 + 729*k**2 - 34 + 0*k. Factor z(q).
2*q*(q + 27)**2
Suppose 7*d - 55 = -5*q, -440*d + 435*d + 4*q + 168 = 0. Let x = 1/2 + 0. Let d*i + 8 + x*i**4 + 33/2*i**2 + 5*i**3 = 0. What is i?
-4, -1
What is h in -5*h**5 + 0*h**5 + 9542*h**2 - 9632*h**2 - 185*h**3 - 100*h**4 = 0?
-18, -1, 0
Factor -3655/3*p**2 - 5/3*p**3 - 669775/3*p - 666125/3.
-5*(p + 1)*(p + 365)**2/3
Let s(w) be the first derivative of 31 + 0*w + 7/2*w**2 - 7/3*w**3. Let f(c) = 12*c**2 - 13*c. Let d(j) = -6*f(j) - 10*s(j). Let d(p) = 0. What is p?
0, 4
Let s(u) = 5*u**2 + 1095*u - 1110. Let y(r) = 2*r**2 + 365*r - 370. Let i(t) = -3*s(t) + 10*y(t). What is g in i(g) = 0?
-74, 1
Solve -2/3*s**4 + 0 + 0*s + 0*s**2 - 34/3*s**3 = 0 for s.
-17, 0
Let f(d) = d**2 + 4*d + 6. Let r be f(-4). Suppose 0 = -4*y + r*y - 16. Determine v so that 20*v + 8*v**2 + 0*v**2 - 12*v**2 - y*v = 0.
0, 3
Let z = -68513 + 68516. Factor -1/3*d**z + 0 - 17/3*d**2 + 6*d.
-d*(d - 1)*(d + 18)/3
Let r(x) be the first derivative of 2*x**5 - 277*x**4/2 + 1274*x**3/3 - 47*x**2 - 636*x - 18. Determine b, given that r(b) = 0.
-3/5, 1, 2, 53
Let f(t) be the third derivative of -t**6/80 + t**5/10 + 13*t**4/4 + 20*t**3 - 7*t**2 + 12. Suppose f(x) = 0. Calculate x.
-4, -2, 10
Let r = 14 - 22. Let m(v) = v + 146*v**2 + 52*v**2 + v**3 - 198*v**2. Let l(f) = 4*f**4 + 20*f**3 + 8*f**2 + 8*f. Let b(k) = r*m(k) + l(k). Factor b(t).
4*t**2*(t + 1)*(t + 2)
Solve 121*w**2 + 277*w**2 + 5*w**4 + 960 - 2*w**3 - 113*w**3 - 171*w**2 + 413*w**2 - 1340*w = 0 for w.
2, 3, 16
Let b be 37/(111/(-18))*5/(-8). Find m such that -5*m + b*m**2 + 5/4*m**3 - 15 = 0.
-3, -2, 2
Let p(a) be the first derivative of -a**9/4536 + a**8/140 + 19*a**7/1260 - 62*a**3/3 + 52. Let h(x) be the third derivative of p(x). Find w such that h(w) = 0.
-1, 0, 19
Let l(v) be the first derivative of 0*v**2 + 15*v - 2 + 0*v**3 + 5/6*v**4 + 1/4*v**5. Let h(b) be the first derivative of l(b). Factor h(c).
5*c**2*(c + 2)
Let u(t) be the third derivative of -t**8/84 - 16*t**7/105 + 8*t**6/5 + 182*t**5/15 + 193*t**4/6 + 44*t**3 + 864*t**2 + 3*t. Factor u(y).
-4*(y - 6)*(y + 1)**3*(y + 11)
Suppose -3726*h = -3*o - 3728*h - 19, -3*o + 51 = -3*h. Factor 0 - 9/7*t**2 - 1/7*t**4 - 6/7*t**o + 0*t.
-t**2*(t + 3)**2/7
Let c(n) be the third derivative of n**5/15 - 8*n**4 + 384*n**3 + 582*n**2 + n. Factor c(l).
4*(l - 24)**2
Let b be (-6 + 3065/(-180))/((-42)/4). Let f = b + 5/54. Factor -12/7*u**2 + 4/7*u**4 + 16/7*u + f - 8/7*u**3.
4*(u - 2)**2*(u + 1)**2/7
Let m(n) = -32*n - 60. Let x be m(-2). Let v(k) be the third derivative of -11*k**2 + 5/12*k**x - 5/6*k**3 + 0*k + 0 - 1/12*k**5. Factor v(q).
-5*(q - 1)**2
Let t = -32 + 34. Suppose -3*b**5 + 0*b**5 + 132*b**2 - 6*b**4 - 12*b - 120*b**t + 9*b**3 = 0. Calculate b.
-2, 0, 1
Let j(l) = 2*l**3 - 12*l**2 + 32*l - 190. Let i be j(6). Find r, given that 2/3*r**i + 8/9*r - 2/9*r**3 - 8/3 = 0.
-2, 2, 3
Solve 20/21*y**3 - 4/3 - 22/7*y - 2/21*y**5 + 4/7*y**4 - 32/21*y**2 = 0 for y.
-1, 2, 7
Let b be (-1 - (-33)/18) + ((-133)/(-6) - -8). Let h(p) be the first derivative of 0*p + b + 4*p**3 - p**2 + 13/8*p**4. Solve h(f) = 0.
-2, 0, 2/13
Let q(d) be the second derivative of 5*d**7/21 + 3*d**6/2 - 5*d**5/2 - 45*d**4/4 - 25*d**3/3 - 53*d + 2. Suppose q(p) = 0. Calculate p.
-5, -1, -1/2, 0, 2
Let v(w) be the first derivative of w**4/30 + 8*w**3/45 - 379*w**2/15 + 748*w/15 - 2224. Factor v(p).
2*(p - 17)*(p - 1)*(p + 22)/15
Let z be 1/2 - (-166261)/99852. Let b = z + 1/628. Suppose -b*k - 5/3 + 1/2*k**2 = 0. What is k?
-2/3, 5
Let f(a) be the first derivative of a**4 - 52*a**3/3 + 24*a**2 - 5023. Find q, given that f(q) = 0.
0, 1, 12
Suppose -29*d - 18*d = 62 - 203. Let l(j) be the first derivative of 1/4*j**d - 22 - 1/4*j**2 + 0*j**4 - 1/20*j**5 + 0*j. Solve l(f) = 0.
-2, 0, 1
Let a = 216 + -282. Let d = a + 68. Factor 0*u**d - 1/4*u + 0 + 1/4*u**3.
u*(u - 1)*(u + 1)/4
Let g(z) be the first derivative of -68/3*z**3 + 16/3*z + 4/3*z**6 - 80 + 149/6*z**4 - 146/15*z**5 - 4/3*z**2. Suppose g(u) = 0. Calculate u.
-1/4, 1/3, 2
Let t(r) be the second derivative of -3/20*r**5 + 2*r**3 + 1 - 1/4*r**4 + 6*r**2 + 3*r. Factor t(x).
-3*(x - 2)*(x + 1)*(x + 2)
Let v(h) be the first derivative of -67 + 3/4*h**2 + 9/4*h + 1/12*h**3. Determine k, given that v(k) = 0.
-3
Let h(w) = 5*w**3 - 68*w**2 - 374*w - 490. Let g(s) = -4*s**3 + 68*s**2 + 375*s + 491. Let j(t) = -6*g(t) - 5*h(t). Solve j(r) = 0.
-62, -4, -2
Let c(r) be the third derivative of -r**6/600 + r**5/5 - 35*r**4/8 + 125*r**3/3 - 5404*r**2. Find y, given that c(y) = 0.
5, 50
Let g be 3 - (-3 - (39/(-9) + 3)). Suppose 2*a + 4*h + 6 = 0, -1451 = -3*h - 1460. Solve 4*v**a - 1/3*v - 2/3*v**2 + 0 - g*v**4 + 5/3*v**5 = 0 for v.
-1/5, 0, 1
Let y be (1120/(-8008))/(5/(-65)). Let -2/11*f**2 + 2 - y*f = 0. What is f?
-11, 1
Let c(z) be the third derivative of z**8/2352 + z**7/294 - z**6/168 - 5*z**5/84 + z**4/42 + 10*z**3/21 + z**2 + 102*z. Solve c(i) = 0 for i.
-5, -2, -1, 