third derivative of b*d + 0*d**4 + 0 - 6*d**2 - 1/120*d**6 + 1/60*d**5 + 0*d**3. Factor j(w).
-w**2*(w - 1)
Let b(h) be the first derivative of 3*h**5/5 + 15*h**4/2 + 32*h**3 + 48*h**2 + 553. Suppose b(c) = 0. What is c?
-4, -2, 0
Suppose -w - 16 = -2*g, w = 63*g - 68*g + 47. Suppose -2*d + 5*y + 1 = 0, 4*d - 61*y = -58*y + g. Factor -3/2*n**d + 7/2*n**2 + 0 - 2*n.
-n*(n - 1)*(3*n - 4)/2
Suppose 235*u + 477*u = 165*u + 1094. Suppose -2/5*f + 2/15*f**u + 0 = 0. Calculate f.
0, 3
Factor -1/6*c**2 - 315*c - 297675/2.
-(c + 945)**2/6
Let x = 1434803/2 + -717401. Factor x*k**2 + 0 - k + 3/2*k**3.
k*(k + 1)*(3*k - 2)/2
Suppose 4 = 4*x - 12. Suppose 104*r + 32 = 3*a + 105*r, 46 = 5*a - 2*r. Factor a*y**3 - x*y**2 - 2*y + 19*y**2 - 8*y.
5*y*(y + 2)*(2*y - 1)
Let t(x) be the third derivative of -x**6/24 - x**5/4 + 10*x**3/3 - 223*x**2. Find z, given that t(z) = 0.
-2, 1
Let t be (562/21)/(16/32). Let z = 164/3 - t. Find w such that 0 + 2/7*w**3 + 8/7*w + z*w**2 = 0.
-2, 0
Let o(r) be the first derivative of r**6/1620 + r**5/180 - r**4/27 - 30*r**3 + 57. Let m(f) be the third derivative of o(f). Solve m(a) = 0 for a.
-4, 1
Factor 1 - 57*f - 3*f**2 - 70 + 267.
-3*(f - 3)*(f + 22)
Let a(k) = -296*k - 4. Let q be a(-1). Let p = 295 - q. Factor -18/7*z**2 - 12/7*z**p - 8/7*z - 2/7*z**4 + 0.
-2*z*(z + 1)**2*(z + 4)/7
Let -1184/3*u**4 + 0*u**2 + 0*u + 0 - 350464/3*u**3 - 1/3*u**5 = 0. Calculate u.
-592, 0
Let i(m) be the second derivative of m**5/5 + 2*m**4/3 - 16*m**3/3 + 23*m - 2. Factor i(c).
4*c*(c - 2)*(c + 4)
Factor 29 + 33*q**2 + 6*q**2 - 53*q**2 + 2*q**2 - 128 + 141*q.
-3*(q - 11)*(4*q - 3)
Let z(u) = u**3 + u**2 - u + 1. Let v = -266 - -263. Let n(q) = -2*q**3 + 3*q - 1. Let d(k) = v*z(k) - 3*n(k). Find y such that d(y) = 0.
-1, 0, 2
Let d be (-33)/((-4851)/12)*(-5)/120*-28. Factor -d*l**3 - 4/7*l + 10/21*l**2 + 0.
-2*l*(l - 3)*(l - 2)/21
Let q be (-1694)/(-84) + (0/(-2) - 5). Let i = q + -5/3. Determine p, given that 9*p + i + 3/2*p**2 = 0.
-3
Factor -1/2*k**3 - 14*k**2 - 119/2*k - 46.
-(k + 1)*(k + 4)*(k + 23)/2
Suppose 3*l = 3*v - 3 - 9, 3*v + l - 12 = 0. Factor v*y**3 - 97 + 8*y**2 + 151 - 86 - 16*y.
4*(y - 2)*(y + 2)**2
Let f be 0/((-1)/(((-110)/(-11))/20)). Let k(p) be the third derivative of -1/8*p**6 + 3/20*p**5 + 21*p**2 + 2*p**3 + f*p + 0 + 3/2*p**4. Factor k(z).
-3*(z - 2)*(z + 1)*(5*z + 2)
Let j = -107991 - -107993. Determine i so that -2/5*i**j - 28/5*i - 26/5 = 0.
-13, -1
Factor -13*j**2 - 6524325 + 13950*j + 8*j**2 - 3205800.
-5*(j - 1395)**2
Let z = 49396 + -49394. Let a be 2*(1 - 46/48). Find s such that -1/12 + 1/6*s - a*s**z = 0.
1
Let a(b) be the first derivative of b**8/28 - b**7/42 - b**6/20 - b**5/60 - 2*b**2 + 25*b + 41. Let g(d) be the second derivative of a(d). Solve g(r) = 0.
-1/3, -1/4, 0, 1
Suppose 5*d + 2*r - 4*r = 0, 2*d - 5*r = -21. Let g = 52 + -45. Factor -v + g*v**2 - 27*v + v**d + 12 + 12*v**2 - 4*v**3.
-4*(v - 3)*(v - 1)**2
Let x be (-105)/(-2) + (9/(-2) - -4). Let u be (x/13)/(2 + -1). Factor -1 + 4*a - 10*a**2 + 22*a**2 - 4*a**3 - u*a**4 - 7.
-4*(a - 1)**2*(a + 1)*(a + 2)
Let g(y) be the first derivative of y**6/360 + y**5/30 + y**4/6 - 59*y**3/3 + 70. Let r(n) be the third derivative of g(n). Find o, given that r(o) = 0.
-2
Let m(h) be the third derivative of 1/135*h**5 - 8 + h**2 + 0*h - 1/540*h**6 - 1/108*h**4 + 0*h**3. Factor m(d).
-2*d*(d - 1)**2/9
Let b(g) be the second derivative of -g**5/30 + 2*g**4/9 + g**3/3 - 6*g**2 - 1070*g. Find y, given that b(y) = 0.
-2, 3
Suppose 6*g - 5*g = 4. Suppose -3*z = -c - 40, -4*z - c + 47 = g*c. Factor z*o**2 + 8*o - 9*o**3 + o**3 - 4*o**3 + 7*o**2.
-4*o*(o - 2)*(3*o + 1)
Let m(b) be the second derivative of b**5/30 + 431*b**4/18 + 46655*b**3/9 + 46225*b**2/3 + 1518*b - 2. Factor m(w).
2*(w + 1)*(w + 215)**2/3
Suppose 3*f - 16835 = -34*f. Let n = 3193/7 - f. Factor -16/7 + n*b - 1/7*b**2.
-(b - 4)**2/7
Let l(k) be the third derivative of -k**6/600 - 19*k**5/50 - 28*k**4/15 - 1317*k**2. Suppose l(w) = 0. What is w?
-112, -2, 0
Let k be ((-3)/(-2))/(5 - (-207)/(-46)). Find s, given that 1/2*s**2 - 1/2*s**4 - 3*s + 3*s**k + 0 = 0.
-1, 0, 1, 6
Let a(q) be the third derivative of -q**9/15120 - 17*q**8/20160 - q**7/1260 + 2*q**5/3 - 2*q**2 + 7*q. Let p(m) be the third derivative of a(m). Factor p(i).
-i*(i + 4)*(4*i + 1)
Let g be 14 + 4 + (-11256)/630. Find d such that -g*d**2 - 2/3*d + 28/15 = 0.
-7, 2
Let y(q) be the second derivative of -q**6/105 + 15*q**5/14 - 683*q**4/21 - 76*q**3 + 2888*q**2/7 + 1844*q - 1. Determine i so that y(i) = 0.
-2, 1, 38
Factor -12 + 40/11*g**2 - 94/11*g + 2/11*g**3.
2*(g - 3)*(g + 1)*(g + 22)/11
Let q(h) be the second derivative of -h**5/120 + 3*h**4/4 - 27*h**3 + 19*h**2/2 - 4*h - 1. Let s(a) be the first derivative of q(a). Factor s(j).
-(j - 18)**2/2
Let f be (0 - -1)/((-2)/(-10))*1. Let s be (f*(-12)/80)/((-18)/112). Suppose s*g - 2*g**2 - 4/3 = 0. What is g?
1/3, 2
Let d = 10891 - 10885. Let z(q) be the second derivative of 0 - 1/12*q**4 - 1/18*q**3 - 1/90*q**d - 10*q + 0*q**2 - 1/20*q**5. Factor z(h).
-h*(h + 1)**3/3
Let c = -26725/5474 + 3/238. Let f = 853/161 + c. Solve 3/7*i**3 - 3/7*i - f + 3/7*i**2 = 0.
-1, 1
Let z = -250 + 262. Let q(g) = g**4 - 11*g**3 - 21*g**2 - 9*g. Let w(x) = -x**2 - x. Let h(o) = z*w(o) + 3*q(o). Suppose h(l) = 0. Calculate l.
-1, 0, 13
Let j(l) = -13*l**2 + 19 + 30*l - 10 - 45. Let u(z) = 145*z**2 - 330*z + 395. Let r(m) = -45*j(m) - 4*u(m). Determine s, given that r(s) = 0.
2, 4
Let n(t) be the first derivative of 2*t**2 - t**4 + 2/9*t**3 + 0*t + 89 - 2/15*t**5. Let n(u) = 0. Calculate u.
-6, -1, 0, 1
Let m(l) = -3*l**3 + 2*l + 1. Let a(w) = -4*w**3 + 12*w**2 - 122*w + 218. Let c(f) = -2*a(f) + 4*m(f). Factor c(d).
-4*(d - 3)**2*(d + 12)
Factor -27/2*w**2 + 3/4*w**3 + 0 + 24*w.
3*w*(w - 16)*(w - 2)/4
Let p be 18/(((-30)/(-117))/(268/402)). Factor -6/5*r**2 + p*r + 48.
-6*(r - 40)*(r + 1)/5
Let v(a) be the second derivative of a**4/9 - 316*a**3/3 - 1904*a**2/3 - 466*a - 3. Find x such that v(x) = 0.
-2, 476
Factor -2*c**4 - 540/19*c + 0 - 234/19*c**3 - 2/19*c**5 - 594/19*c**2.
-2*c*(c + 3)**3*(c + 10)/19
Let m(a) be the second derivative of -a**7/16380 - a**6/260 - 27*a**5/260 - 25*a**4/6 - 12*a. Let h(n) be the third derivative of m(n). Factor h(o).
-2*(o + 9)**2/13
Determine d, given that 2/9*d**2 + 256/3 + 88/9*d = 0.
-32, -12
Let o(x) be the first derivative of -5*x - 1/5*x**2 - 7 - 1/2*x**4 + 1/2*x**5 - 3/5*x**3. Let v(b) be the first derivative of o(b). Factor v(f).
2*(f - 1)*(5*f + 1)**2/5
Let r(j) be the first derivative of j**5/30 + 223*j**4/24 - 112*j**3/9 - 2598. What is k in r(k) = 0?
-224, 0, 1
Let c(l) = -l + 3. Let p be 1*(0 - (-4 + 6 + -3)). Let y be c(p). Factor 0 - 4 + 5 - 3*f**y + 6*f - 4.
-3*(f - 1)**2
Factor -28566 - 138*k - 1/6*k**2.
-(k + 414)**2/6
Determine k, given that -2/13*k**4 - 324/13*k**2 - 896/13*k - 46/13*k**3 - 64 = 0.
-13, -4, -2
Let x be 1/5*5*(3 + 1). Find a, given that -61*a + 65*a**2 - a**3 - 313 - x*a**3 + 68 - 114*a = 0.
-1, 7
Let t(g) be the first derivative of 49/25*g**5 + 352/15*g**3 - 384/5*g**2 + 84/5*g**4 + 256/5*g - 6. Factor t(j).
(j + 4)**2*(7*j - 4)**2/5
Let z be ((-20)/18 - 0)*(-1084698)/502175. Let q = 7 - 5. Find i, given that 36/5*i**q - z*i + 1/5 = 0.
1/6
Let s be (-18)/(-4)*(-241)/(-723). Let k = -771/4 - -194. Factor k*x**2 - s - 13/4*x.
(x - 3)*(5*x + 2)/4
Let j(m) be the first derivative of 27/20*m**5 + m**3 + 0*m**2 - 211 + 0*m + 9/4*m**4. Solve j(k) = 0.
-2/3, 0
Let l be (-752)/17672 + 2/47. Let b(t) be the third derivative of 1/1680*t**7 + 1/320*t**6 + 0*t**3 + l - 1/48*t**4 + 16*t**2 + 0*t**5 + 0*t. Factor b(c).
c*(c - 1)*(c + 2)**2/8
Solve -4/5*p**4 + 128/5*p + 44/5*p**3 - 2176/5 + 408/5*p**2 = 0 for p.
-4, 2, 17
Let f be (3182/(-5))/(((-18)/3)/30). Find x such that f*x**2 - 3212*x**2 + 7*x**3 - 2*x**3 = 0.
0, 6
Let v be (-158)/14 + 11 - (-44462)/42. Let l = v + -1055. Determine a, given that 5/3*a**4 + 10/3*a**2 - 1/3*a**5 - l*a**3 - 5/3*a + 1/3 = 0.
1
Suppose 2204*k + 160*k**2 - 2404*k + 117*k**2 - 5*k**4 - 85*k**3 + 13*k**2 = 0. Calculate k.
-20, 0, 1, 2
Suppose -3*a - 16 = -5*d, -3*d - 22 = a - 8*d. Find w such that -16*w**2 + 64 + 0*w - 7*w - 11*w + 2*w + 4*w**a = 0.
-2, 2, 4
Let n = -292 + 723. Let v = n - 426. Solve 0*f + 3*f**4 - 2