80*d**6 + 7*d**2 + 0*d**5 + 0 + s*d**3. Find j, given that w(j) = 0.
-1, 0, 1
Let w(z) = -3442*z - 3478*z + z**2 + 6948*z + 102. Let g be w(-24). Factor -12 - 3/4*s**2 + g*s.
-3*(s - 4)**2/4
Suppose 4*o = 4*m - 464 + 456, 0 = -5*o + 11*m - 22. Find g such that 5/4*g**4 + 10*g**3 + o*g + 0 + 20*g**2 = 0.
-4, 0
Suppose 227*r + 155 = 910*r - 1309 + 98. Factor -64/5*m + 66/5 - 2/5*m**r.
-2*(m - 1)*(m + 33)/5
Suppose 1 = 19*h - 113. Let w(c) be the third derivative of 1/108*c**4 - 1/540*c**h + 0*c**3 + 0 + 13*c**2 + 0*c**5 + 0*c. Suppose w(t) = 0. What is t?
-1, 0, 1
Determine b so that -794624/19*b + 4008/19*b**3 + 2/19*b**5 - 170/19*b**4 + 786432/19 + 4352/19*b**2 = 0.
-12, 1, 32
Let f be (-2 - -2)*(-3)/9. Suppose f = -5*i - v + 19, -4*v + 6 = i - 6*v. What is n in 0 - 12/11*n - 18/11*n**2 + 42/11*n**i + 18/11*n**3 + 18/11*n**5 = 0?
-1, 0, 2/3
Let j(c) = 2*c**2 - 25*c - 47. Let y be j(15). Suppose 0 = m + y - 32. Factor 16/5*q**3 - 16/5*q + 16/5 - 7/5*q**m + 1/5*q**5 - 8/5*q**2.
(q - 2)**4*(q + 1)/5
Let z = 240 - 238. Let -132*i**2 - 5*i - 13*i + 52*i**z - i**4 + 18*i**3 + 81 = 0. Calculate i.
-1, 1, 9
Let l = -18 + 38. Let i = 23 - l. Suppose 2*b**4 - b**5 + 4*b**4 + 9*b**i + 4*b**5 - 2*b**5 = 0. Calculate b.
-3, 0
Let w(d) be the first derivative of d**8/168 - d**7/15 + 60*d**2 - 112. Let x(j) be the second derivative of w(j). Factor x(p).
2*p**4*(p - 7)
Suppose -2*z = 21 - 9. Let w = 8 + z. Factor 40*v - w*v - 2 - 1 + 66*v**2 - 1.
2*(3*v + 2)*(11*v - 1)
Let q(v) = -3*v + 20. Let d be q(6). Let k be ((-2)/2)/(2*1/(-6)). Determine t, given that -2*t**2 - 2 - 2*t + k*t + 10*t**d + 28*t**3 - 23*t**3 = 0.
-1, 2/5
Let u = 5555327531317/8505 + -653183722. Let y = 1/1215 - u. Solve y + 2/7*r**2 - 2*r = 0.
2, 5
Let q(a) be the third derivative of -19*a**8/84 - 16*a**7/15 - 8*a**6/15 + 58*a**5/15 + 35*a**4/6 - 4*a**3/3 - 1273*a**2. Suppose q(p) = 0. Calculate p.
-2, -1, 1/19, 1
Let t(f) be the third derivative of 3/8*f**4 + 0 - 9/2*f**3 + 0*f + 1/4*f**5 + 7/120*f**6 - 9*f**2. Let y(j) be the first derivative of t(j). Factor y(p).
3*(p + 1)*(7*p + 3)
Let q(n) = -5*n**2 + 1147*n - 1162. Let j(a) = 25*a**2 - 5726*a + 5811. Let o(c) = -2*j(c) - 11*q(c). Factor o(z).
5*(z - 232)*(z - 1)
Let j(m) be the first derivative of -3*m**5/5 + 11*m**4/4 - 4*m**3 + 2*m**2 + 1217. Factor j(s).
-s*(s - 2)*(s - 1)*(3*s - 2)
Let z = 4865 + -4863. Let r(w) be the second derivative of -1/18*w**4 + 4/3*w**z + 0 + w + 1/15*w**5 - 8/9*w**3. Find q, given that r(q) = 0.
-2, 1/2, 2
Let z(t) = t**5 - t**3 - t**2 + 1. Let p(q) = -q**5 - 8*q**4 - 47*q**3 - 35*q**2 - 5. Let k(r) = p(r) + 5*z(r). Let k(o) = 0. What is o?
-2, -1, 0, 5
Let k(l) be the third derivative of l**5/12 + 175*l**4/2 - 119*l**2 + 4*l + 2. Factor k(h).
5*h*(h + 420)
Let a(l) be the third derivative of l**8/1680 + l**7/175 + l**6/75 - l**5/150 - 3*l**4/40 - 2*l**3/15 - 328*l**2. Find v such that a(v) = 0.
-4, -1, 1
Let s = 4/989 + -369898/2967. Let n = -124 - s. Let 0*q + 0 + 4/9*q**2 + n*q**3 + 2/9*q**4 = 0. Calculate q.
-2, -1, 0
Factor -415/2 - 825/4*z + 5/4*z**2.
5*(z - 166)*(z + 1)/4
Let f(s) be the second derivative of 5*s**7/98 - 3*s**6/70 - 51*s**5/140 - s**4/28 + 6*s**3/7 + 6*s**2/7 + 1547*s. Find r such that f(r) = 0.
-1, -2/5, 1, 2
Suppose -2*x + 24752 = 14*x. Let t = x - 9281/6. Factor -1/3*f**2 - 2/3*f + 4/3 + t*f**3.
(f - 2)**2*(f + 2)/6
Let w = 502 + 264. Suppose -88*j**3 - 56 + 16*j**2 - 2*j**5 + w*j + 40*j**4 - 2*j**5 - 674*j = 0. Calculate j.
-1, 1, 2, 7
Let f = -895 + 1385. Let c = 493 - f. Solve 6/19*n**4 + 2/19*n**2 - 6/19*n**c + 0 - 2/19*n**5 + 0*n = 0 for n.
0, 1
Let w(k) be the third derivative of -k**8/168 - k**7/35 + k**6/4 + 19*k**5/30 - 5*k**4/2 - k**2 - 889*k. What is f in w(f) = 0?
-5, -2, 0, 1, 3
Let p(o) be the third derivative of 0*o + 0*o**3 + 10*o**2 + 1/5*o**5 + 1/30*o**6 - 5/3*o**4 + 1. Factor p(l).
4*l*(l - 2)*(l + 5)
Suppose 5*y + 4*p = -8, 3*p = -1 - 9 + 4. Suppose 0 - 2/7*l**5 + y*l - 6/7*l**2 + 6/7*l**4 + 2/7*l**3 = 0. What is l?
-1, 0, 1, 3
Suppose 15021*l = -3*r + 15023*l - 16, 5*r - l + 8 = 0. Factor r + 2/3*f**4 - 8/3*f**3 + 8/3*f**2 + 0*f.
2*f**2*(f - 2)**2/3
Let t(k) be the first derivative of -k**6/2 - 6*k**5/5 + 15*k**4/2 + 8*k**3 - 99*k**2/2 + 54*k + 706. Solve t(j) = 0 for j.
-3, 1, 2
Let r be (-1 - -2)*0*(-2)/(-4). Suppose -2*u + r*u + 6 = 0. Factor 4*n - 18*n**u + 3*n + 19*n**3 - 5*n**2 - 3.
(n - 3)*(n - 1)**2
Let t(l) be the third derivative of 17/33*l**3 - 1/330*l**5 + 0 - 4/33*l**4 + 2*l**2 - 72*l. Factor t(u).
-2*(u - 1)*(u + 17)/11
Let t(q) be the second derivative of 3*q**5/80 - q**4/2 + 17*q**3/8 - 15*q**2/4 + 3*q + 78. Factor t(z).
3*(z - 5)*(z - 2)*(z - 1)/4
Find j, given that -1/4*j**3 - 3*j - 3/2*j**2 - 2 = 0.
-2
Let y(x) be the third derivative of -5/18*x**4 + 0*x - 19/18*x**3 + 73 - 1/180*x**5 - 2*x**2. Find q, given that y(q) = 0.
-19, -1
Let f(a) be the second derivative of -a**7/7 - 2*a**6/3 - 2*a**5/5 + 5*a**4/3 + 7*a**3/3 - 1541*a. Determine r, given that f(r) = 0.
-7/3, -1, 0, 1
Let z(r) be the third derivative of r**6/144 + 5*r**5/6 + 125*r**4/4 + 5000*r**3/9 - 404*r**2 - 4. What is a in z(a) = 0?
-40, -10
Factor 122/3 - 102*a + 119/6*a**3 + 1/6*a**5 - 41/2*a**4 + 371/6*a**2.
(a - 122)*(a - 1)**3*(a + 2)/6
Let j = 35819 + -35813. Let v(o) be the second derivative of -2*o**2 + 1/2*o**5 - 1/15*o**j - 3/2*o**4 + 7/3*o**3 + o - 15. Factor v(u).
-2*(u - 2)*(u - 1)**3
Let m(q) be the third derivative of -3 - 1/75*q**5 + 0*q**3 + 0*q**4 - 1/525*q**7 + 2*q**2 + 1/100*q**6 + 0*q. Solve m(h) = 0.
0, 1, 2
Let -191835/4*h**4 + 9261/4*h**5 + 111195*h**3 + 108 + 34400*h**2 + 3360*h = 0. Calculate h.
-2/21, 3, 18
Factor 29*d + 1/2*d**2 + 56.
(d + 2)*(d + 56)/2
Factor -96*m - 675/7 + 3/7*m**2.
3*(m - 225)*(m + 1)/7
Factor 2/15*n**3 - 12 + 146/15*n - 32/15*n**2.
2*(n - 9)*(n - 5)*(n - 2)/15
Let f = -3119 + 46789/15. Let g(u) be the first derivative of 4/25*u**5 + 0*u - f*u**3 + 14 - 2/5*u**2 + 1/5*u**4. Suppose g(l) = 0. Calculate l.
-1, 0, 1
Let c(a) be the first derivative of 7*a**6/6 + 129*a**5/20 + 329*a**4/32 + a**3/8 - 10*a**2 - 9*a/2 + 1363. What is w in c(w) = 0?
-2, -1, -1/4, 9/14
Let h be 13/(7/((-70)/(-20))) + (-12 - -7). Factor -15*j**2 - h - 9/4*j**3 - 37/4*j.
-(j + 6)*(3*j + 1)**2/4
Let j be 21/105 + 48/(-15) - -3. Let p(u) be the second derivative of 0*u**2 - 7/120*u**6 - 1/72*u**4 + j + 6*u + 0*u**3 - 13/240*u**5. Factor p(m).
-m**2*(3*m + 1)*(7*m + 2)/12
Let i(k) be the first derivative of 24 + 2*k**2 + 8/3*k**3 + 24*k + k**4. Let b(q) be the first derivative of i(q). Find j such that b(j) = 0.
-1, -1/3
Let j(o) be the third derivative of o**6/280 - 11*o**5/20 - 61*o**4/14 + 160*o**3/7 - 237*o**2 - 3. Determine z, given that j(z) = 0.
-4, 1, 80
Let r(u) be the first derivative of -3*u**6/4 + 12*u**5/5 + 51*u**4/2 - 24*u**3 - 1971. Let r(c) = 0. Calculate c.
-4, 0, 2/3, 6
Factor 1/4*g**4 + 8253/2*g - 61/2*g**3 - 19845/4 + 865*g**2.
(g - 63)**2*(g - 1)*(g + 5)/4
Suppose 821*o - 483*o = -1169*o - 156*o + 3326. Factor 30/7 + 2/7*g**o + 16/7*g.
2*(g + 3)*(g + 5)/7
Let y = -56876 - -56878. Factor -3/2*o**y + 3 - 3/2*o.
-3*(o - 1)*(o + 2)/2
Factor -10*i - 22/5*i**2 + 72/5.
-2*(i - 1)*(11*i + 36)/5
Let p(o) be the third derivative of -65*o**2 + 0 + 53/42*o**4 - 2*o + 10/7*o**3 + 1/60*o**5. Solve p(q) = 0 for q.
-30, -2/7
Determine u so that 592/7*u + 1200/7 - 4/7*u**2 = 0.
-2, 150
Let a = 883/5 + -176. Let b be ((-6)/(-30)*15)/(5 + 0/4). Factor -6/5*o**2 + b*o + 0 + a*o**3.
3*o*(o - 1)**2/5
Let h be (-6)/3 + 53 + 2. Let g = h + -38. Find n, given that -n**5 - 61*n**3 + 14*n**3 - g*n**4 - 125*n**2 - 28*n**3 = 0.
-5, 0
Let m(r) be the second derivative of -2*r**7/63 - 41*r**6/90 + r**5/10 + 155*r**4/9 - 217*r**3/9 - 49*r**2/2 - 1809*r + 2. Determine z so that m(z) = 0.
-7, -1/4, 1, 3
Let a(g) be the first derivative of 24*g - 4/3*g**3 + 1/2*g**4 - 11*g**2 + 54. Solve a(r) = 0 for r.
-3, 1, 4
Let g = 833 - 830. Suppose 19 = g*w + 2*y, 4*w - 49*y + 3 = -46*y. Suppose 0*x + 3/7*x**5 + 12/7 - w*x**2 - 3/7*x**3 + 9/7*x**4 = 0. Calculate x.
-2, -1, 1
Let y(k) be the first derivative of -4*k**5/35 + 64*k**4/7 + 176*k**3/7 - 800. Determine x so that y(x) = 0.
-2, 0, 66
Let q(g) be the third derivative of g**7/11340 - g**6/810 + g**5/135 - 49*g**4/24 + 3*