ctor -72 + 2/3*t**2 - 2*t.
2*(t - 12)*(t + 9)/3
Let s(o) be the third derivative of 0*o**3 + 4*o**2 + 1/90*o**5 + 7/9*o**4 + 12*o + 0. Factor s(m).
2*m*(m + 28)/3
Let u(c) be the first derivative of -c**4/16 - c**3 + 31*c**2/8 + 21*c/2 - 983. Factor u(s).
-(s - 3)*(s + 1)*(s + 14)/4
Let z be ((-18)/8)/(3/(-24)). Let d = 62/3 - z. Solve -4/3*w**4 - d*w**3 + 0*w - 4/3*w**2 + 0 = 0.
-1, 0
Let r be (4 + (3 - 7))/(-1 - 1). Suppose -4*o + 5*t - 9 + 0 = 0, 4*o + 2*t - 26 = r. Factor -80*b**2 - o*b**5 + 40*b**3 - b**5 + 160 - 57*b + 10*b**4 - 23*b.
-5*(b - 2)**3*(b + 2)**2
Let l = -589 + 737. Let o = l + -146. Let -3 - 15/2*y + 9/2*y**o = 0. Calculate y.
-1/3, 2
Let x(k) = -11*k + 10. Let b be x(-15). Suppose 3*y = b + 5. Suppose 1784*i**2 + 46*i**4 - i**4 - 540*i**3 - 169*i**2 + y*i - 180 = 0. Calculate i.
-1/3, 1/3, 6
Let s(q) = 5*q**2 + 27 + 8*q + 19 + 2*q**3 - 46. Let k(f) = -f**2. Let x(i) = -3*k(i) + s(i). Find l such that x(l) = 0.
-2, 0
Let -88*r**2 - 102*r**2 - 92*r**2 + 284*r**2 + 656*r + 53792 = 0. What is r?
-164
Let u(v) = 189*v**2 - 2*v + 4. Let w be u(1). Let h = w + -189. Factor 0*j - 4/7*j**h + 0.
-4*j**2/7
Let h be ((-120)/100)/((-6)/20). Suppose -58 = h*p - 66. Solve 2 - 2/3*z**p - 4/3*z = 0 for z.
-3, 1
Factor 362*w**2 - 21*w**3 - 792 + 213*w**2 - 2604*w + 127*w**2 - 109*w**2 - 11*w**2.
-3*(w - 22)*(w - 6)*(7*w + 2)
Let a be ((-10)/(-16))/((-235)/(-188)). Factor a*j**2 - 19*j + 361/2.
(j - 19)**2/2
Let h(l) = 2 + 2*l + 4*l**2 + l**3 - l + 4*l - 4*l. Let c(u) = -u**3 - 4*u**2 - 2*u - 2. Let j(z) = -4*c(z) - 3*h(z). Let j(f) = 0. What is f?
-2, -1
Let g(f) be the third derivative of 3*f**5/20 - 875*f**4/4 + 765625*f**3/6 - 18*f**2 + 68. Factor g(i).
(3*i - 875)**2
Let j(z) = z**2 - 4*z + 40. Let t be j(-10). Factor -2700*v - 2801 - t*v**2 + 7*v**3 - 6177 - 11*v**3 - 4522.
-4*(v + 15)**3
Let b(o) be the second derivative of 1/165*o**6 + 6/55*o**5 + 28/33*o**3 + 9/11*o**2 + 0 - 88*o + 5/11*o**4. Factor b(u).
2*(u + 1)**3*(u + 9)/11
Let o(z) be the third derivative of -z**8/1344 - 17*z**7/840 - 3*z**6/32 - 43*z**5/240 - 7*z**4/48 - 1782*z**2. Find t, given that o(t) = 0.
-14, -1, 0
Let g(s) be the first derivative of 2*s**3/15 + 451*s**2/5 + 1796*s/5 - 8821. Determine o so that g(o) = 0.
-449, -2
Let x(h) be the second derivative of -h**5/10 - 85*h**4/2 + 1036*h**3/3 + 10973*h. Solve x(l) = 0.
-259, 0, 4
Let u = 23520 + -211676/9. Factor -20/9 - 8/3*f - u*f**2.
-4*(f + 1)*(f + 5)/9
Let g(o) be the first derivative of 2*o**3/3 + 476*o**2 + 113288*o + 2981. Factor g(j).
2*(j + 238)**2
Let b be (6/(-16))/(14/4 + (120 - 125)). Factor 7/4*x**2 + 1/4*x**3 - b*x - 7/4.
(x - 1)*(x + 1)*(x + 7)/4
Let z(s) = -s**2 - 5*s + 3. Let a be z(-2). Factor 81*i - 2*i**3 - 2*i**2 - 54*i**3 + 16*i**4 + 2*i**2 + a*i**2.
i*(i + 1)*(4*i - 9)**2
Let q(v) be the third derivative of 0*v - 14*v**2 + 5/24*v**3 - 3 + 3/64*v**4 - 1/480*v**5. Factor q(n).
-(n - 10)*(n + 1)/8
What is i in 329 - i**3 - 435*i**2 - 3524*i - 1694 + 4*i**3 + 2*i**3 + 1719*i = 0?
-3, -1, 91
Let q(b) = -b**2 + 5*b - 3. Let f be q(2). Factor 21*l**2 - 3520*l**3 + 0 + 3511*l**f - 6*l + 0.
-3*l*(l - 2)*(3*l - 1)
Let x(a) = -a**2 - 15*a + 3. Suppose m + 4*g = 3, 5*m + 19*g - 15 = 21*g. Let d(t) = 3*t**2 + 43*t - 8. Let u(v) = m*d(v) + 8*x(v). Factor u(j).
j*(j + 9)
Suppose 0 + 54*m**3 + 21/4*m**4 + 249/4*m**2 + 27/2*m = 0. What is m?
-9, -1, -2/7, 0
Let a = 519711/16498 + -12/8249. Determine q, given that 136/5*q - 49/10*q**5 - 296/5*q**3 + 24/5 + 84/5*q**2 + a*q**4 = 0.
-2/7, 2, 3
Let x be (-61 - 3984/(-64))/((-5)/(-8)). Factor 1/9*u**3 - 5/9*u + 0 + 4/9*u**x.
u*(u - 1)*(u + 5)/9
Let b = -1118 + 1120. Let o(x) be the third derivative of 0 + 0*x - 1/3*x**3 - 14*x**b + 1/8*x**4 - 1/60*x**5. Factor o(l).
-(l - 2)*(l - 1)
Let r(y) be the first derivative of y**3/12 - 529*y**2/2 + 279841*y - 3548. Factor r(a).
(a - 1058)**2/4
Suppose 5*l = -11 + 6. Let j(t) = -t**4 - 4*t**3 - t**2 + 1. Let h(b) = -3*b**4 - 5*b**3 + 5*b**2 - 11*b - 6. Let z(r) = l*h(r) + 4*j(r). Solve z(y) = 0 for y.
-10, -1, 1
Let h(j) be the third derivative of -59*j - 1/8*j**4 + 0 - j**2 + 3*j**3 - 1/20*j**5. Suppose h(x) = 0. What is x?
-3, 2
Let o be 6/(4/(41 + -1)). Let i = o + -53. Factor -6*a**2 - i*a**2 + 5*a**2 + 4*a**3 + 4*a.
4*a*(a - 1)**2
Let m(n) = 24*n**4 + 26*n**3 + 172*n**2 - 658*n - 1934. Let d(i) = -7*i**4 - 9*i**3 - 57*i**2 + 219*i + 645. Let w(h) = -10*d(h) - 3*m(h). Solve w(c) = 0 for c.
-3, 6
Let a be (-66)/(-4)*48/36. Suppose -a = -5*g - i, -2*g + 2*i = 1 - 5. Factor -3*r + g*r + 5*r**2 - r.
5*r**2
Determine d, given that 0 - 32/5*d + 6*d**4 + 264/5*d**2 - 184/5*d**3 = 0.
0, 2/15, 2, 4
Let n(k) be the third derivative of -7*k**2 + 1/1344*k**8 + 1/8*k**4 - 3 - 7/60*k**5 - 1/105*k**7 + 0*k**3 + 23/480*k**6 + 0*k. Let n(g) = 0. Calculate g.
0, 1, 2, 3
Determine n so that 0 + 1/4*n**4 - 24*n**2 - n**3 + 0*n = 0.
-8, 0, 12
Suppose 261 - 255 = 526*l - 542 - 504. Determine g, given that 39/7*g**l + 30/7*g - 72/7 + 3/7*g**3 = 0.
-12, -2, 1
Solve -64/3*g - 4/3*g**4 + 704/3 - 154/3*g**3 + 2/3*g**5 - 484/3*g**2 = 0 for g.
-4, -2, 1, 11
Determine y so that 3 + 502*y + 1 + 4*y**2 - 866*y - 4 = 0.
0, 91
Let k(i) be the second derivative of -1/5*i**5 + 16*i - 39*i**4 - 3042*i**3 + 0 - 118638*i**2. Factor k(z).
-4*(z + 39)**3
Let y(z) be the third derivative of z**5/20 + 57*z**4/4 + 1953*z**3/2 - z**2 - 537. Factor y(g).
3*(g + 21)*(g + 93)
Let q(s) be the first derivative of s**4/12 - s**3/3 - 91*s - 32. Let m(u) be the first derivative of q(u). Factor m(y).
y*(y - 2)
Let g(t) = -31*t**2 + 1329*t - 2622. Let q(l) = -6*l**2 + 266*l - 524. Let s(u) = 2*g(u) - 11*q(u). Let s(z) = 0. What is z?
2, 65
Let t(b) be the second derivative of b**6/30 + 9*b**5/20 + 7*b**4/3 + 6*b**3 + 8*b**2 + 448*b. Factor t(p).
(p + 1)*(p + 2)**2*(p + 4)
Let q(y) = y + 77. Let p be q(1). Let a be p/429 - (-48)/99. Factor -a - 2*z - 4/3*z**2.
-2*(z + 1)*(2*z + 1)/3
Let b = 2767 - 2767. Let h(j) be the first derivative of 0*j - 27/35*j**5 - 2/7*j**3 - 11 + b*j**2 - 33/28*j**4. Factor h(c).
-3*c**2*(c + 1)*(9*c + 2)/7
Let m(o) be the first derivative of 1/5*o**2 - 20 + 12/5*o - 4/15*o**3. Factor m(d).
-2*(d - 2)*(2*d + 3)/5
Let w = -12 + 17. Suppose 203*y**4 + y**3 - 4*y**w - 12*y**2 - 191*y**4 + 3*y**3 = 0. Calculate y.
-1, 0, 1, 3
Let k be 29/145 + (-6)/(-45). Let c(m) be the first derivative of 0*m + k*m**4 + 0*m**2 + 4/3*m**3 + 4. Let c(l) = 0. What is l?
-3, 0
Let i(c) be the third derivative of c**5/300 - 301*c**4/120 + 281*c**2 - 3*c + 3. Suppose i(w) = 0. Calculate w.
0, 301
Suppose -22*x + 17*x + 15 = 0. Suppose 2*v**2 - x*v**2 + v**2 - 2*v**2 - 10*v - 12 = 0. Calculate v.
-3, -2
Let t(p) = 45*p - 614. Let n be t(14). Let s(u) be the first derivative of 1/2*u**6 + n*u**3 + 18 + 18/5*u**5 + 6*u + 27/2*u**2 + 21/2*u**4. Solve s(v) = 0.
-2, -1
Suppose -5*v = 46*v - 22848. Factor -899*k**3 + 448*k**3 + v*k**3 + 33*k**2.
-3*k**2*(k - 11)
Let r(t) = 4*t**4 + 8*t**3 + 21*t**2 - 113*t - 35. Let l(p) = 5*p**4 + 9*p**3 + 18*p**2 - 114*p - 42. Let i(n) = -5*l(n) + 6*r(n). What is x in i(x) = 0?
-6, 0, 3, 6
Let z(d) = -2*d**3 - 9*d**2 - 19*d - 11. Let h be z(-7). Let v = -367 + h. Determine p so that v + 0*p + p**5 - 4/3*p**4 + 1/3*p**3 + 0*p**2 = 0.
0, 1/3, 1
Let b(f) be the second derivative of 1/3*f**3 - 1/30*f**5 - 17*f - 1/8*f**4 - 8*f**2 + 0. Let m(z) be the first derivative of b(z). Solve m(k) = 0 for k.
-2, 1/2
Let y(z) = 4*z - 30. Let w be y(10). Suppose 6*x - w = 8. Let i - 2*i**4 + 2*i**2 + i**4 - 2*i**3 + 0*i**x - 10 + i**5 + 9 = 0. What is i?
-1, 1
Let r be 2*2*(4/(-16))/1. Let b be (5 - r)/(5 + 4). Factor 1/6*k**2 + b + 5/6*k.
(k + 1)*(k + 4)/6
Let q(h) be the first derivative of 579*h**4/4 + 189*h**3 - 6*h**2 - 5230. Factor q(s).
3*s*(s + 1)*(193*s - 4)
Let f(k) be the first derivative of -4*k**3/21 + 248*k**2/7 + 500*k/7 - 337. Factor f(o).
-4*(o - 125)*(o + 1)/7
Let y be (20930/(-1170) - 54/(-3))*15. Factor 5/3 + y*v**4 - 5/3*v - 10/3*v**2 + 10/3*v**3 - 5/3*v**5.
-5*(v - 1)**3*(v + 1)**2/3
Factor 55*j**3 - 9747/2 - 1398*j**2 - 6327*j - 1/2*j**4.
-(j - 57)**2*(j + 1)*(j + 3)/2
Suppose 8*x = 11*x - 195. Let i = x - 59. Let 32*p**2 + 7*p**3 - i*p**3 + 64*p + 3*p**3 = 0. What is p?
-4, 0
Let j(c) be the third derivative of -c**6/40 - 19*c*