13 - (7 + 4)). Suppose 44/3*l + 3*l**3 - 10*l**m - 1/3*l**4 - 8 = 0. What is l?
2, 3
Let n(k) = 4*k**2 - 1975*k - 163360. Let v(d) = -3*d**2 + 987*d + 81681. Let r(y) = -3*n(y) - 5*v(y). Factor r(g).
3*(g + 165)**2
Let i = -252/19 - -22699/1710. Let m(n) be the second derivative of -9*n + 0 - 1/6*n**4 + i*n**6 + 1/20*n**5 - 14/9*n**3 - 4*n**2. Solve m(s) = 0.
-2, 3
Suppose 1984*s - 1979*s - 60 = 0. Suppose 4*p = -2*n + s, -5*p - 1 = n - 13. Suppose 2/13*z**n - 8/13*z - 10/13 = 0. What is z?
-1, 5
Let w(a) be the first derivative of a**3/9 - 1042*a**2 + 3257292*a - 7740. Determine k, given that w(k) = 0.
3126
Let d be (-1)/1 + ((-264)/11 - -9). Let z be (-4)/3 - d/(-60)*-5. Factor z + 1/9*b**2 + 0*b + 1/9*b**3.
b**2*(b + 1)/9
Let a(r) = -1005*r - 71351. Let d be a(-71). Solve -d + 3/4*q**2 + 11/2*q = 0.
-8, 2/3
Suppose -147*x = 545*x - 1384. Let 3/8*o**5 - 31/8*o**4 + 11*o + 109/8*o**3 - 2 - 153/8*o**x = 0. Calculate o.
1/3, 1, 4
Let i = -2/105741 - -317239/845928. Solve 9/8 + 3/4*b - i*b**2 = 0.
-1, 3
Suppose 0 + 1/3*c**5 + 12*c**3 + 0*c + 0*c**2 - 4*c**4 = 0. What is c?
0, 6
Let c = -3/49 + 143/735. Let v(l) be the second derivative of 1/3*l**4 + 0 + 2*l**3 - 4*l + c*l**6 - 3/5*l**5 - 4*l**2. Factor v(s).
4*(s - 2)*(s - 1)**2*(s + 1)
Factor 13572387 + 3*k**2 + 7530*k + 11825*k - 32117*k.
3*(k - 2127)**2
Let m(x) = x - x + 2 + 2*x - x**2 - 6*x. Let u be m(-3). Factor -i**3 - 2*i**u - 2*i + 0*i**3 + 5*i**3.
-2*i*(i - 1)**2*(i + 1)**2
Let n(b) be the second derivative of 0*b**4 - 5/6*b**7 + 0*b**2 + 88*b + 0*b**3 - 3/2*b**5 + 0 - 23/6*b**6. Determine w, given that n(w) = 0.
-3, -2/7, 0
Let g(a) = -a**3 + 2*a**2 + 5*a - 7. Let z be g(3). Let x be z - -1 - (21/(-3) + 3). Factor -4*d**x - 2*d**4 + 9*d**3 - 3*d**4 + 3*d**5 - 3*d**2.
3*d**2*(d - 1)**3
Let c(u) be the first derivative of 55 + 98/3*u**2 - 80/3*u + 10/9*u**3. Factor c(d).
2*(d + 20)*(5*d - 2)/3
Let c = -954911/3 + 318307. Factor -2/9*u**2 + c*u + 68/9.
-2*(u - 17)*(u + 2)/9
Let k be 6/(-4)*(-8)/(-418). Let q = 1654/627 - k. Factor -10/3*c**2 + 2/3 - q*c.
-2*(c + 1)*(5*c - 1)/3
Let l(k) be the second derivative of k**6/180 + k**5/6 + 3*k**4/4 + 71*k**3/6 + 25*k. Let r(a) be the second derivative of l(a). Find d such that r(d) = 0.
-9, -1
Let -3492*y**2 - 235 + 235 - 4*y**4 - 2503*y - 2681*y - 594*y**3 - 6*y**3 = 0. Calculate y.
-144, -3, 0
Let k be (8 - (6 + -5))/(-1). Let b be -6 - 32/(k - -3). Factor -3/7*w**b + 3/7*w**4 + 0*w**3 + 0 + 0*w.
3*w**2*(w - 1)*(w + 1)/7
Suppose -2*c - 11 = -a + 2*c, -5*c - 40 = 4*a. Let r(m) = 3*m**3 + 16*m**2 + 6*m + 7. Let y be r(a). Factor -2*p + 5*p - 74*p**2 + 9*p - 9 + 71*p**y.
-3*(p - 3)*(p - 1)
Let c(m) be the third derivative of 0*m + 1/180*m**5 + 0*m**4 + 0*m**3 + 1/360*m**6 + 1 + m**2. Factor c(s).
s**2*(s + 1)/3
Determine y so that -3/8*y**4 + 0*y**3 - 27/8 + 0*y + 15/4*y**2 = 0.
-3, -1, 1, 3
Solve 0 + 129/4*k**4 + 363/4*k**2 - 369/4*k**3 - 3/4*k**5 - 30*k = 0.
0, 1, 40
Let k(l) be the second derivative of 0*l**4 - 14/75*l**6 - 2/5*l**5 - 6*l + 0*l**3 + 0*l**2 - 2/105*l**7 + 8. Let k(b) = 0. What is b?
-5, -2, 0
Let k = -42365 - -720215/17. Factor k*n**2 - 2/17*n**3 - 18/17 - 6/17*n.
-2*(n - 3)**2*(n + 1)/17
Factor 316/7*w**2 - 2/21*w**3 + 634/7*w + 136/3.
-2*(w - 476)*(w + 1)**2/21
Factor -55*p**3 + 335*p + 14897*p**4 - 210 - 34*p**2 - 14902*p**4 - 11*p**2 - 14*p**3 - 6*p**3.
-5*(p - 1)**2*(p + 3)*(p + 14)
Let b(u) = -9*u**3 + 5*u**2 - 8*u + 2. Let d be (-10 + 117/9)*(-2 + -1). Let p(x) = 16*x**3 - 10*x**2 + 17*x - 5. Let j(y) = d*b(y) - 5*p(y). Factor j(f).
(f - 1)**2*(f + 7)
Let l = -1201 + 1253. Suppose 0 = -l*x + 59*x - 21. Suppose 0 + 6/13*i - 4/13*i**2 - 2/13*i**x = 0. Calculate i.
-3, 0, 1
Let q be (-2)/(672/40) + 1/7. Let r(v) be the second derivative of 1/7*v**3 - 3/70*v**5 + 0 - 1/105*v**6 + q*v**4 - 3*v + 0*v**2. Factor r(m).
-2*m*(m - 1)*(m + 1)*(m + 3)/7
Factor 991*v - 40 + 987*v + 2*v**3 - 1920*v - 20*v**2.
2*(v - 5)*(v - 4)*(v - 1)
Let s(u) be the second derivative of -8*u**3 - 9*u - 1/20*u**5 + 1/2*u**2 + u**4 + 0. Let k(q) be the first derivative of s(q). Factor k(d).
-3*(d - 4)**2
Let f(c) be the first derivative of -3*c**5/5 + 3*c**4/4 + 3*c**3 - 3*c**2/2 - 6*c - 577. Determine s so that f(s) = 0.
-1, 1, 2
Let v(n) be the third derivative of -n**5/24 - 1445*n**4/48 + 725*n**3/6 + 2*n**2 - 1210. Determine r, given that v(r) = 0.
-290, 1
Let w be ((2 - 3)*1)/((-1107)/108 + 10). Let d(t) be the first derivative of 0*t - 3*t**2 + 29 + 3/2*t**w - 16/3*t**3. Factor d(o).
2*o*(o - 3)*(3*o + 1)
Let p(z) be the second derivative of z**6/210 - 129*z**5/140 - 87*z**4/28 - 131*z**3/42 + 3828*z. Solve p(q) = 0.
-1, 0, 131
Let f(v) be the third derivative of v**6/30 + 7*v**5/3 + 39*v**4 + 1270*v**2. Factor f(y).
4*y*(y + 9)*(y + 26)
Find u, given that -564 - 2257 + 22*u**2 - 95 + 14*u**2 + 324*u - 4*u**3 = 0.
-9, 9
Let v(y) be the first derivative of -5*y**6/6 + 20*y**5 - 355*y**4/2 + 2140*y**3/3 - 2525*y**2/2 + 1000*y + 2504. Find s, given that v(s) = 0.
1, 5, 8
Let m = -332 + 332. Find f such that -66*f + 15*f + f**3 - 8*f**3 + 4*f**3 + m*f**3 + 54*f**2 = 0.
0, 1, 17
Let a(x) = -13*x**2 + 182*x + 901. Let i(n) = 6*n**2 - 92*n - 450. Let h(y) = -2*a(y) - 5*i(y). Solve h(g) = 0.
-4, 28
Factor 0*k - 39/2*k**3 + 19/2*k**2 + 21/2*k**4 - 1/2*k**5 + 0.
-k**2*(k - 19)*(k - 1)**2/2
Let v(s) be the first derivative of 8*s**2 + 32*s + 2/3*s**6 - 40/3*s**3 - 5*s**4 + 8/5*s**5 + 44. Let v(c) = 0. What is c?
-2, -1, 1, 2
Find y such that -3/4*y**4 + 327/4*y**2 + 867/8*y + 45 + 18*y**3 - 3/8*y**5 = 0.
-5, -3, -1, 8
Let i(v) = -11*v**2 - 6*v + 5. Let p(c) = 31*c**2 + 17*c - 14. Let h(t) = 17*i(t) + 6*p(t). Let s(z) = z**2 - 3*z - 4. Let w(a) = 4*h(a) + 2*s(a). Factor w(q).
-2*(q + 1)*(q + 2)
Suppose -5*w = 5*h - 95, 4*w = 2*h - 7*h + 100. Suppose -25*v = -h*v - 2. Suppose 0*z + 0*z**3 + 0*z**v + 3/5*z**4 + 0 = 0. What is z?
0
Let v(i) be the second derivative of 0 - 1/5*i**5 - 60/7*i**2 + 1/105*i**6 + 41/42*i**4 - 4/21*i**3 + 242*i. Determine q so that v(q) = 0.
-1, 2, 3, 10
Let j = 1708 + -1387. Suppose -j = -14*d - 265. Solve 0 + 2/3*c + 2/3*c**d - 2/3*c**2 - 2/3*c**3 = 0.
-1, 0, 1
Find n, given that -6/5*n**4 + 0*n + 24/5*n**3 + 6*n**2 + 0 = 0.
-1, 0, 5
Let s = 276 - 273. Let o(k) = -2*k**3 + 2*k**2 - 3*k - 7. Let t be o(-3). Determine h, given that 2*h**4 - 4*h**s - 94*h**2 - 12*h + 2*h**4 + t*h**2 = 0.
-1, 0, 3
Let i be -3*1*(9 - 10). Let m(c) = -c**3 + c**2 + 1. Let u(a) = 8*a**3 + 42*a**2 + 90*a - 3. Let n(l) = i*m(l) + u(l). Factor n(z).
5*z*(z + 3)*(z + 6)
Let b(r) = -4*r**3 + 13*r**2 + 39*r - 43. Let t be 133/(-21) - -11 - 2/(-6). Let p(c) = -2*c**3 + 7*c**2 + 19*c - 21. Let j(y) = t*p(y) - 3*b(y). Factor j(q).
2*(q - 4)*(q - 1)*(q + 3)
Let 968/9*m**3 - 32 + 2164/9*m**2 + 184/3*m - 32/3*m**4 = 0. Calculate m.
-3/2, -2/3, 1/4, 12
Let b be 4/(-32) + 2965/40. Let g = -11 + b. Suppose -g*v**3 + 27*v**3 + 26*v**3 + 2*v**4 + 3*v**4 = 0. Calculate v.
0, 2
Let z be -3*(3 - -2)*72/(-360). Factor 27/2 - 3/2*r**2 - 1/2*r**z + 9/2*r.
-(r - 3)*(r + 3)**2/2
Let w be ((-10)/(-15))/(3/(1062/(-4))). Let h = w - -62. Factor 0*t**2 - 15*t + 3*t**3 + h*t**2 - 13*t**2 + 2*t**3.
5*t*(t - 3)*(t + 1)
Let r(d) = -11*d**2 + 157*d + 24. Let h(g) = -32*g**2 + 479*g + 73. Let k(x) = -2*h(x) + 7*r(x). Factor k(v).
-(v - 11)*(13*v + 2)
Let b(r) = -r**3 - 16448*r**2 - 8454391*r + 7. Let a(u) = -8224*u**2 - 4227204*u + 4. Let p(k) = -7*a(k) + 4*b(k). Factor p(h).
-4*h*(h + 1028)**2
What is o in 2/5*o**2 + 1748/5 - 26*o = 0?
19, 46
Let i(g) be the third derivative of g**6/120 - 166*g**5/15 + 221*g**4/8 + 3*g**2 - 414*g + 1. Factor i(o).
o*(o - 663)*(o - 1)
Let b(w) = -4*w**2 + 728*w - 16. Let j(y) = -2 - 3*y**2 + 30 + 485*y - 38. Let q(o) = -5*b(o) + 8*j(o). Let q(l) = 0. Calculate l.
0, 60
Let k(x) = -6*x**3 + 631*x**2 + 298*x + 420. Let t(g) = -3*g**3 + 316*g**2 + 115*g + 210. Let w(a) = -6*k(a) + 11*t(a). Factor w(z).
(z - 105)*(z + 1)*(3*z + 2)
Let x(a) = a**2 + 46*a - 86. Let r(s) = -12*s + 57*s + 1 - 63 - 23. Let j be 4 - (24/(-18) - (-2)/6). Let y(o) = j*x(o) - 6*r(o). Factor y(f).
5*(f - 4)**2
Solve -970/7 + 204/7*p - 2/7*p**2 = 0 for p.
5, 97
Let y(m) = m**2 + 38*m + 340. Let v be y(-23). Let a be 0*(-7)/(-49) + 0/v. Factor 1/5 - 1/5*q**2 + a*q.
-(q - 1)*(q + 1)/