1/60*h**6 - 43 + 1/40*h**5 + 0*h**2. Determine s so that n(s) = 0.
-1, 0, 1
Let i be -1596*(14 - 10 - (-7)/(-2)). Let h be ((-304)/i)/(((-8)/(-3))/4). What is u in 2/7*u**3 + h*u**2 + 2/7*u + 0 = 0?
-1, 0
Let d(l) be the third derivative of -l**6/120 + 7*l**5/80 + 91*l**4/96 - l**3 - 324*l**2 + 1. Solve d(j) = 0.
-3, 1/4, 8
Suppose 170 = -5*g + 19*d, -2*g - 41*d + 38 = -38*d. Solve 3/2 + 3/4*y**3 + 15/4*y**2 + 17/4*y - 1/4*y**g = 0 for y.
-1, 6
Let d be 2 + (-10 - -4) - (-6 - 95). Suppose -72*c + d + 47 = 0. Factor -1/5*f**2 - c + 7/5*f.
-(f - 5)*(f - 2)/5
Suppose -o + m = 17, 0 = -7*m + 5*m + 10. Let l be (2/o)/(64/(-9) - -7). Factor -l*s**2 - 1 + 29/6*s.
-(s - 3)*(9*s - 2)/6
Let j(a) be the third derivative of a**5/20 + 29*a**4/8 + 14*a**3 + 165*a**2 + 4*a. Find s such that j(s) = 0.
-28, -1
Let c be 2/(-32) + (-1320)/(-5760). Let z(a) be the second derivative of 0 + 15/2*a**3 + 2*a - c*a**6 + 0*a**2 - 25/4*a**4 + 7/4*a**5. Factor z(x).
-5*x*(x - 3)**2*(x - 1)
Find w such that 26/5*w**2 - 32/5*w - 168/5 = 0.
-2, 42/13
Factor -s**5 - 128*s + 112*s**2 + 112*s**2 + 57192 - 2*s**4 - 58216 + 56*s**3.
-(s - 8)*(s - 2)*(s + 4)**3
Let d(z) = -z**2 + 6531*z - 207966. Let p be d(32). Solve 0*i - 14/3*i**4 - 2/3*i**5 - 16/3*i**p + 0 - 28/3*i**3 = 0 for i.
-4, -2, -1, 0
Let k(o) = 31*o**2 - 21*o + 1312. Let d(n) = 11*n**2 + 437. Let c(b) = 11*d(b) - 4*k(b). Determine z so that c(z) = 0.
7, 21
Let u(c) = -227*c**3 + 228*c**3 - 1 - 7*c**2 - 3*c + 6*c**2. Let x(m) = 3*m**3 - 133*m**2 + 261*m - 123. Let a(w) = 2*u(w) + x(w). Factor a(o).
5*(o - 25)*(o - 1)**2
Let v = -1925 + 1097. Let h be (45/24)/((-115)/v). Factor 6 - 3/2*p**3 - h*p + 9*p**2.
-3*(p - 4)*(p - 1)**2/2
Let q = 430800 - 3015574/7. Factor -q*v**2 + 2/7*v**3 + 80/7*v - 72/7.
2*(v - 9)*(v - 2)**2/7
Let w(s) be the first derivative of s**4/6 + 14*s**3/3 + 24*s**2 - 23*s - 269. Let b(l) be the first derivative of w(l). Factor b(h).
2*(h + 2)*(h + 12)
Suppose 37055 = -38*b + 1715. Let x = b + 933. Determine s, given that 75/8*s**x + 0*s - 125/8*s**2 - 15/8*s**4 + 0 + 1/8*s**5 = 0.
0, 5
Factor -960*h**2 + 2*h**5 - 10*h**3 - 80*h**3 + 1152*h + 14*h**3 + 372*h**3 - 40*h**4.
2*h*(h - 6)**2*(h - 4)**2
Let k = -71/3323 - -7143/23261. Suppose 0 + k*x**2 - 18/7*x = 0. What is x?
0, 9
Let t(z) be the second derivative of -z**7/66 + 3*z**6/110 + 17*z**5/55 + 3*z**4/11 - 8*z**3/33 - 213*z - 12. Find c, given that t(c) = 0.
-2, -1, 0, 2/7, 4
Let d = -863945 + 863948. Factor 85/2*l + 29*l**d + 1/2*l**5 + 53*l**2 + 13/2*l**4 + 25/2.
(l + 1)**3*(l + 5)**2/2
Let k(o) = -o**3 + 6*o**2 + 2*o - 7. Let w be k(6). Determine a, given that -5*a**3 - w + 29*a**2 + 20*a + 30 + 6*a**2 - 75*a = 0.
1, 5
Let n = -3956/5 - -43786/55. Factor -16/11 - 50/11*u - n*u**2 - 2/11*u**4 - 2*u**3.
-2*(u + 1)**3*(u + 8)/11
Let m(l) be the third derivative of 1/180*l**5 + 0*l**4 + 0*l - l**2 + 7 - 1/18*l**3. Factor m(h).
(h - 1)*(h + 1)/3
Let a(q) be the third derivative of -17/20*q**4 + 1/50*q**5 + 4*q**2 - 18/5*q**3 + 0 + 6*q. Factor a(t).
6*(t - 18)*(t + 1)/5
Let z(w) be the first derivative of 3*w**4/16 - 749*w**3/2 - 3*w**2/8 + 2247*w/2 + 1352. Solve z(r) = 0.
-1, 1, 1498
Let n be -14 - (-33 + (-1476)/(-84)). Suppose -2/7*u**2 - n*u + 4 = 0. Calculate u.
-7, 2
Let v(d) be the first derivative of 0*d - d**4 - 2/5*d**5 + 0*d**2 + 1/3*d**6 - 75 + 0*d**3. Let v(a) = 0. What is a?
-1, 0, 2
Let u(z) = z**3 - 3*z**2 - 6*z + 11. Let g be u(4). Solve -2*h**4 + g*h**2 + 2*h**3 - 4 + 40*h + 3*h**2 - 42*h = 0.
-1, 1, 2
Suppose 9*w = 123 + 120. Determine p, given that -3*p + w + 6 - 52*p + 15*p**3 + 0 + 15*p**2 - 5*p**4 - 3 = 0.
-2, 1, 3
Suppose 5618160*m + 1945*m**3 - 125*m**2 + 10846*m**2 - 1940*m**3 + 366059428 - 1541*m**2 + 780045212 = 0. What is m?
-612
Let b(r) = -1259*r + 2518. Let h be b(2). Factor h*u + 0 + 1/10*u**3 + 1/10*u**4 + 0*u**2.
u**3*(u + 1)/10
Let i = -93340/11 - -8486. Let c(t) be the second derivative of 4*t + 1/33*t**3 + 1/66*t**4 - i*t**2 + 0. Factor c(s).
2*(s - 2)*(s + 3)/11
Let g be ((-72)/10)/((-134688)/2280 + 27 - -32). Factor -8/7 + 668/7*d**3 - g*d**2 + 244/7*d - 220/7*d**4.
-4*(d - 1)**3*(55*d - 2)/7
Let p = 1052474/113 + -9314. Let z = p + 10888/565. Factor -2/15*c**2 - z + 16/5*c.
-2*(c - 12)**2/15
Let d(z) = 2*z**2 + 4*z + 5. Let t be d(-5). Suppose 59 + 25 = 14*k. Determine m, given that 5*m**2 + k*m**3 + t*m**4 + 4*m**2 - 38*m**4 = 0.
-1, 0, 3
Let q(h) be the first derivative of 2*h**3/11 - 540*h**2/11 - 1086*h/11 + 1432. Find d such that q(d) = 0.
-1, 181
Let z = 25666 - 25662. Let -18/11*r**3 + 6/11*r**5 - 8/11*r + 0 - 4/11*r**z + 24/11*r**2 = 0. What is r?
-2, 0, 2/3, 1
Let p = 280/57 + -68/19. Let k(q) be the first derivative of -p*q**2 + 5 - 8/9*q + 10/9*q**3 - 2/9*q**4. Factor k(z).
-2*(z - 2)**2*(4*z + 1)/9
Suppose 0 = 3*c + 2*c + 3 - 13. Let w(p) be the second derivative of -16*p + 1/100*p**5 + 1/4*p**4 + 21/10*p**3 + 49/10*p**c + 0. Factor w(d).
(d + 1)*(d + 7)**2/5
Let f be ((965/45 - 11) + -12)*(-120)/7. What is t in 5*t**2 + f*t - 20 = 0?
-6, 2/3
Let l be 0*(1 - 0)/(-32 + 18 + 11). Let 0*t**2 + l - 21/2*t**4 - 9/2*t**5 + 0*t - 3*t**3 = 0. Calculate t.
-2, -1/3, 0
Let w(t) be the first derivative of 3*t**4/2 - 688*t**3/9 + 3325*t**2/3 - 1444*t/3 + 2952. Factor w(f).
2*(f - 19)**2*(9*f - 2)/3
Let y(g) = 4*g**2 - 5*g + 3. Let l be y(1). Factor 199*f**2 + 193*f**2 - 58*f + 18*f - 388*f**l - 44.
4*(f - 11)*(f + 1)
Let x = 20092783/60 + -334870. Let c = x - 141/20. Let 5/3*k**2 + c - 22/3*k = 0. What is k?
2/5, 4
Let r(a) be the third derivative of 7/36*a**3 - 1 + 0*a + 1/24*a**4 - 1/360*a**5 - 5*a**2. Factor r(l).
-(l - 7)*(l + 1)/6
Let n = 859129 + -7732147/9. Factor -n*b**2 - 4/3 - 46/9*b.
-2*(b + 3)*(7*b + 2)/9
Let m(f) be the first derivative of -3*f**5/5 + 8*f**4 + 11*f**3/3 - 1403. Determine s so that m(s) = 0.
-1/3, 0, 11
Suppose -3*x = -5*x - 4*t + 30, -3*t + 30 = 3*x. Suppose 4*g = -3*d + 2*d + 1, 4*g + x = 5*d. Factor g*z + 1/2*z**2 - 1/2.
(z - 1)*(z + 1)/2
Let r(b) be the second derivative of 2/7*b**2 + 0 + 62*b + 1/21*b**4 + 4/21*b**3. Let r(o) = 0. What is o?
-1
Let c(m) = -16*m**3 - 70*m**2 + 48*m + 242. Let z(q) = -6*q**3 - 23*q**2 + 16*q + 83. Let f(a) = 5*c(a) - 14*z(a). Factor f(p).
4*(p - 6)*(p - 2)*(p + 1)
Let p(a) be the first derivative of a**5/20 + a**4/3 - 7*a**3/6 - 5*a**2 + 171*a - 64. Let k(f) be the first derivative of p(f). Solve k(l) = 0 for l.
-5, -1, 2
Determine v so that 4 - 544*v**2 + 847/4*v**5 - 141*v + 6827/4*v**3 - 2475/2*v**4 = 0.
-2/11, 2/77, 1, 4
Let k(a) = -a**3 + 2*a**2 - a. Let s(p) = 3*p**3 - 618*p**2 + 7029 - 93 + 10002*p + 2*p**3 + 10*p**3. Let z(h) = 6*k(h) + s(h). Factor z(x).
3*(x - 34)**2*(3*x + 2)
Let m(o) be the third derivative of o**6/600 - 383*o**5/150 + 146689*o**4/120 + 453*o**2 - 4*o + 2. Suppose m(q) = 0. Calculate q.
0, 383
Let l(o) = 47*o**4 - 241*o**3 - 489*o**2 + 233*o + 490. Let x(g) = -11*g**4 + g**3 + g - 1. Let k(d) = -l(d) - 4*x(d). Find s, given that k(s) = 0.
-2, -1, 1, 81
Suppose -a + 2*t = -350 + 344, 3*a - 6 = 2*t. Suppose 5*l = l. Suppose 0*b**2 - 1/5*b**3 + a + l*b - 1/5*b**5 + 2/5*b**4 = 0. Calculate b.
0, 1
Let q(y) be the first derivative of -7*y**8/480 + 11*y**7/240 - 2*y**6/45 + y**5/60 - 38*y**3/3 + 44. Let p(w) be the third derivative of q(w). Factor p(u).
-u*(u - 1)*(7*u - 2)**2/2
Let s(p) = -p**3 - 12*p**2 - p + 42. Let a be s(-8). Let d = a + 825/4. Let 1/4*h**2 - 1/2*h + d = 0. What is h?
1
Let i(k) = k**3 + 6*k**2 - k + 14. Let f(v) = -v**2 - 25*v - 30. Let j be f(-24). Let q be i(j). Solve 23*y + 3 + 1 + 6*y**3 + q*y**2 + 0*y**3 - 5*y = 0.
-2, -1, -1/3
Let x be (1 - -2)*(-1220)/(-732). Let d(j) be the second derivative of 9/8*j**2 + 5/16*j**4 + 16*j + 3/80*j**x + 0 + 7/8*j**3. Factor d(p).
3*(p + 1)**2*(p + 3)/4
Factor -312/7*h**2 + 0 - 2/7*h**4 - 304/7*h - 12*h**3.
-2*h*(h + 2)**2*(h + 38)/7
Suppose 3*v + 2*q = 6, 2*q - 11 = 4*v - 5. Suppose 2*b - 8 + v = f, 13 = b - 5*f. Let 4*o**2 - 2/3*o**4 + 0*o**b + 2 - 16/3*o = 0. What is o?
-3, 1
Let t = -26 + 1666. Let r = t + -8198/5. Find s such that -r*s + 0 - 4/15*s**2 + 2/15*s**3 = 0.
-1, 0, 3
Let g = 441517/4 + -110371. Solve 3/4*n**2 - 9 + g*n = 0 for n.
-12, 1
Let g(l) = -l**3 - 19*l**2 + 2*l. Let a(h) = 4*h**3 + 95*h**2 - 7*h - 2. Let p(t) = -a(t) - 5*g(t). Fac