(0 - 3/4). Suppose -4*q + r*j + 8 + 4 = 0, -q - 3*j + 17 = 0. Find n such that -n**2 + 2*n**q + n**2 + 16*n**4 + 4*n**5 + 8*n**3 = 0.
-2, -2/3, 0
Suppose 0 = 7*z - 17*z - 14140. Let a be 4/18 - z/441. Factor -15/7*i**2 - 12/7 + a*i + 3/7*i**3.
3*(i - 2)**2*(i - 1)/7
Let d be 65/9825*((-5430)/9)/(-5). Let g = d + 2/1179. Factor 4/5*r**2 + 0 - g*r.
4*r*(r - 1)/5
Let d = -217 - -221. Suppose -28 = -d*x - 4*z, -3*x - 2*x - z = -15. Let 2 - 8/3*g**4 + 38/3*g**3 - 46/3*g**x + 10/3*g = 0. Calculate g.
-1/4, 1, 3
Suppose -5*s - 120 = 2*b + 3*b, 4*s = 16. Let i = 64 + b. Determine d so that 6*d**3 + 8*d**2 - i*d**2 - 24*d - 10*d**3 = 0.
-6, -1, 0
Let z(d) be the third derivative of 2*d**7/105 + 13*d**6/30 + 910*d**2. Factor z(a).
4*a**3*(a + 13)
Let u be 10*(-5 - 7)/24 + 14/2. Determine s so that -6/7 - 9/7*s - 3/7*s**u = 0.
-2, -1
Let v(b) be the first derivative of -3*b**4/20 + 44*b**3 + 1365*b**2/2 + 3450*b - 8076. Suppose v(p) = 0. Calculate p.
-5, 230
What is y in 486/5*y**2 + 163/5 - 1/5*y**4 - 488/5*y - 32*y**3 = 0?
-163, 1
Let o(h) = -3*h**2 + 218*h + 268 - 72 - h**2 - 26*h. Let x(y) = y + 1. Let t(w) = o(w) + 8*x(w). Let t(s) = 0. What is s?
-1, 51
Let b(q) be the second derivative of q**5/80 + 9*q**4/16 + 81*q**3/8 + 5*q**2 - 34*q. Let m(n) be the first derivative of b(n). Let m(c) = 0. Calculate c.
-9
Let c = -30613/4 - -7657. Let h(k) be the second derivative of -c*k**3 + 10*k - 25/4*k**2 + 1/8*k**5 + 0 - 5/8*k**4. Suppose h(p) = 0. Calculate p.
-1, 5
Let a(l) be the second derivative of l**4/3 - 59*l**3/12 - 1465*l. Determine k so that a(k) = 0.
0, 59/8
Let x = -264 + 266. Factor 71 + 20*n**x - 2*n**2 - 148 + 77 + 7*n**3 - n**4.
-n**2*(n - 9)*(n + 2)
Let s(a) = -45*a**2 - 6678*a + 3722988. Let c(h) = -143*h**2 - 20033*h + 11168964. Let b(z) = -6*c(z) + 19*s(z). What is i in b(i) = 0?
1114
Let u(j) be the first derivative of -4/3*j**3 + 0*j + 10*j**2 - 176. Determine k, given that u(k) = 0.
0, 5
Let h(y) be the second derivative of -y**4/6 + 162*y**3 - 485*y**2 - 2821*y. Suppose h(b) = 0. What is b?
1, 485
Let u = -2209 + 2211. Let j(b) be the first derivative of 3 + 2/9*b**3 - 1/8*b**4 + 5/12*b**u - 1/3*b. Suppose j(m) = 0. What is m?
-1, 1/3, 2
Let z(w) be the third derivative of -w**5/270 + 13*w**4/36 + 82*w**3/27 - 55*w**2 + 2*w - 16. Let z(h) = 0. What is h?
-2, 41
Suppose -88 = -11*o - 11. Let w(c) = 78*c**2 + 646*c - 722. Let r(d) = -d**3 + 236*d**2 + 1938*d - 2166. Let p(l) = o*w(l) - 2*r(l). Factor p(z).
2*(z - 1)*(z + 19)**2
Suppose -30*s + 17*s = -37141. Factor -2435 - 2*i**2 - 117*i - i**2 - s - 135*i.
-3*(i + 42)**2
Suppose -g - 3*a = 7, -g + 4*a = g - 16. Let b be (-1 + 13/(-2))*(-592)/740. Factor -102*f - 165*f**g - b - 25*f**2 - 3 - 59*f**2 + 252*f**3 + 108*f**4.
3*(f - 1)*(f + 3)*(6*f + 1)**2
Let k(v) be the second derivative of -5*v**7/252 + 14*v**6/9 - 4*v**5 - 430*v**4/9 + 2740*v**3/9 - 720*v**2 - 62*v + 43. Let k(j) = 0. Calculate j.
-4, 2, 54
Suppose -544428/5*q**2 - 1704/5*q**3 - 77308776/5*q - 2/5*q**4 - 4116692322/5 = 0. What is q?
-213
Solve 112/3*g - 8 + 70/3*g**4 - 44*g**3 - 22*g**2 = 0.
-1, 2/7, 3/5, 2
Solve 1313534*a + 46*a**2 + 5*a**3 - 1314154*a + 89*a**2 = 0 for a.
-31, 0, 4
Let y be 8 - (21 + (-169)/13). Let m(u) be the third derivative of 1/7*u**3 - 1/140*u**6 - 6*u**2 + y*u + 0 + 1/42*u**5 + 11/84*u**4. Factor m(n).
-2*(n - 3)*(n + 1)*(3*n + 1)/7
Let f = -2679553/4 - -669896. Factor -1/4*s**3 - 15/2*s + f*s**2 + 0.
-s*(s - 30)*(s - 1)/4
Let p(x) be the second derivative of -x**4/9 - 28*x**3 - 2646*x**2 - 22*x - 18. Determine u so that p(u) = 0.
-63
Let z(h) be the first derivative of 5/2*h**2 + 0*h - 1/12*h**4 + 0*h**3 + 1/60*h**6 + 28 + 0*h**5. Let s(u) be the second derivative of z(u). Solve s(x) = 0.
-1, 0, 1
Let n(k) be the third derivative of k**9/45360 - k**8/2520 + k**7/756 - 43*k**5/60 - 70*k**2 + 2*k. Let w(o) be the third derivative of n(o). Factor w(g).
4*g*(g - 5)*(g - 1)/3
Let v be (108 + -111)*(-12)/27. Find d, given that -16/3*d**2 - v*d**5 + 0*d - 12*d**3 - 8*d**4 + 0 = 0.
-4, -1, 0
Let g(m) = -m**2 - 64*m + 2947. Let u be g(31). Let -4/3*l + 2/3*l**u - 16/3 = 0. Calculate l.
-2, 4
Let m(r) be the second derivative of r**5/40 - 2277*r**4/8 + 5184729*r**3/4 - 11805627933*r**2/4 + 608*r. Factor m(a).
(a - 2277)**3/2
Let b(t) be the third derivative of -t**6/24 + 5*t**5/6 - 35*t**4/24 - 15*t**3 - 1293*t**2. Factor b(d).
-5*(d - 9)*(d - 2)*(d + 1)
Let r = 184 + -182. Let b(c) be the third derivative of 1/72*c**4 + 0 - 1/540*c**5 - 1/27*c**3 + 23*c**r + 0*c. Factor b(t).
-(t - 2)*(t - 1)/9
Let j(q) be the first derivative of -q**6/9 + 2*q**5/5 + 5*q**4/3 - 398. Let j(n) = 0. Calculate n.
-2, 0, 5
Suppose -36*b = -31*b - 1390. Suppose -183*q**3 - 107*q**2 + 16*q**5 + 366*q**4 - b*q**4 - 3*q - 11*q = 0. What is q?
-7, -1/4, 0, 2
Let y(h) be the first derivative of -2*h**3/9 - 41*h**2/3 - 80*h/3 + 479. What is c in y(c) = 0?
-40, -1
Suppose 14*g + 163 = -47. Let p be (3 + -2 + 2)/((-75)/g). Let -9/5*t - 3*t**2 - p*t**3 + 27/5 = 0. What is t?
-3, 1
Let x be (-2030)/(-232) + (-2)/8*-1. Factor d - 3*d**2 - 5 - x + d + 7*d + 2*d**2.
-(d - 7)*(d - 2)
Let q be (-1375)/15400 - 3/(-8). Factor 0 - q*d**2 - 8*d.
-2*d*(d + 28)/7
Let u(q) be the second derivative of -q**6/135 + 4*q**5/15 - 7*q**4/6 - 1372*q**3/27 + 1372*q**2/3 + 2362*q. Solve u(l) = 0 for l.
-7, 3, 14
Let t be 153/357*(-28)/(-3) - 0. Let i(d) be the first derivative of -1/6*d - 1/12*d**t + 1/6*d**2 + 0*d**3 + 1/30*d**5 - 13. Factor i(u).
(u - 1)**3*(u + 1)/6
Suppose -5*u - 32 = -3*b, 207*b - 203*b = u + 20. Factor 2/5*x**b + 0*x**3 + 0 + 4/5*x - 6/5*x**2.
2*x*(x - 1)**2*(x + 2)/5
Suppose 0 = 149*g - 153*g + 56. Factor -g*p**2 - 3 - 3*p - 7*p + 15 - 10*p - p**3 + 23*p**2.
-(p - 6)*(p - 2)*(p - 1)
Factor -85*l + 942*l**2 + 52*l - 939*l**2 - 36.
3*(l - 12)*(l + 1)
Let o be (-6)/5*(11/(-18) + (39 - 1343/34)). Factor -o*h**2 + h**3 - 4/3*h + 0.
h*(h - 2)*(3*h + 2)/3
Let w(h) = 6*h**5 + 6*h**4 - h**3 + 4*h**2 - 5. Let i(p) = -p**5 - p**4 - p**2 + 1. Suppose g = -4 + 19. Let t(l) = g*i(l) + 3*w(l). Factor t(x).
3*x**2*(x - 1)*(x + 1)**2
Find s, given that 366/5 + 386/5*s**2 + 742/5*s + 2*s**3 = 0.
-183/5, -1
Let l be (-2829)/4 + (-51)/68. Let a = l - -711. Find k, given that -1/4*k**5 - 9/4*k - 1/2 - 3/2*k**4 - 4*k**2 - 7/2*k**a = 0.
-2, -1
Suppose 198*r + 1176 = 282*r. Let g(h) be the second derivative of r*h + 1/50*h**5 + 0 + 0*h**2 - 1/10*h**4 + 2/15*h**3. Factor g(b).
2*b*(b - 2)*(b - 1)/5
Let i be (6/4)/(15/24 + -1). Let r be -5 - 105/63*(i - -1). Determine h, given that r - 1/5*h**2 - 3/5*h = 0.
-3, 0
Let j(y) be the second derivative of 0*y**6 + 4*y**3 + 1/21*y**7 - 2 - 1/3*y**4 - 7/10*y**5 + 8*y**2 + 8*y. What is c in j(c) = 0?
-2, -1, 2
Factor 87 + 17*s**3 - 16*s + 176*s**2 - 171*s**2 - 93*s.
(s - 1)*(s + 3)*(17*s - 29)
Let z(a) = 4*a**3 - a**2 - 10*a + 27. Let g be z(2). Let l(k) = k**3 - 36*k**2 + 34*k + 37. Let m be l(g). Let m*p + 2/9*p**2 + 16/9 = 0. What is p?
-8, -1
Let r = -610 - -645. Suppose r + 13*g**2 + 15 + 20*g - 8*g**2 - 75*g = 0. Calculate g.
1, 10
Let v = -536723/5 - -107345. Find f, given that -2/5*f**2 + v + 0*f = 0.
-1, 1
Let o(k) = -36*k**3 - 884*k**2 + 912*k + 1888. Let r(l) = 11*l**3 + 296*l**2 - 304*l - 629. Let g(a) = -5*o(a) - 16*r(a). Factor g(c).
4*(c - 78)*(c - 2)*(c + 1)
Let o be (-270)/315*14/(-6). Factor 5/2*p + 1/2*p**2 + o.
(p + 1)*(p + 4)/2
Let w(z) be the first derivative of z**5/5 - 381*z**4/4 + 12033*z**3 + 36481*z**2/2 - 1606. Factor w(c).
c*(c - 191)**2*(c + 1)
Let h(y) = 30*y + 2 - 2*y**2 - 19*y + y**2 - 7*y. Let i be h(0). Factor 1/6*k**i + 0 + 2/3*k.
k*(k + 4)/6
Let h(c) be the second derivative of -2*c**6/105 + 11*c**5/70 - 13*c**4/42 + 4*c**3/21 - 915*c. Let h(y) = 0. What is y?
0, 1/2, 1, 4
Let x(k) be the second derivative of -k**10/45360 + k**8/10080 + 143*k**4/6 - 39*k. Let l(o) be the third derivative of x(o). Factor l(q).
-2*q**3*(q - 1)*(q + 1)/3
Let u(j) be the third derivative of 0*j + 0*j**3 - 1/1512*j**8 + 3 - 4/945*j**7 + 1/45*j**5 + 0*j**4 - 39*j**2 - 1/540*j**6. Find z, given that u(z) = 0.
-3, -2, 0, 1
Suppose 12/5 + 9*m**2 + 3/5*m**4 - 39/5*m - 21/5*m**3 = 0. What is m?
1, 4
Factor 26*f**2 - 5*f**2 + 3*f**3 - 30*f - 14*f - 36 + 56*f.
3*(f - 1)*(f + 2)*(f + 6)
Let k = -6779/3 