et s(y) = p*l(y) - r(y). Suppose s(n) = 0. What is n?
-5, -1/3
Let w be ((-480)/(-200))/((-6)/(-140)). Suppose 93*t - w = 86*t. Factor t*u - 3 - 1/3*u**4 - 22/3*u**2 + 8/3*u**3.
-(u - 3)**2*(u - 1)**2/3
Let i(o) be the first derivative of o**3/27 - 107*o**2/9 + 11449*o/9 + 148. Determine n, given that i(n) = 0.
107
Suppose 4*v = -4*y + 60, -5*v = -5*y - 50063 + 50068. Factor -3*k**2 + 1/3*k**3 - 11/3 - v*k.
(k - 11)*(k + 1)**2/3
Let b(h) = 5*h**3 + 39*h**2 + 29*h + 9. Let c(d) = 5*d**3 + 78*d**2 + 56*d + 18. Let r(i) = 5*b(i) - 2*c(i). Factor r(y).
3*(y + 1)**2*(5*y + 3)
Let r(n) be the third derivative of -n**8/2856 - n**7/1785 + n**6/170 - n**5/255 - 5*n**4/204 + n**3/17 - n**2 - 2*n + 29. Determine v so that r(v) = 0.
-3, -1, 1
Let x(c) be the first derivative of c**6/180 + 17*c**5/240 + c**4/12 + c**3/3 + 24*c + 23. Let h(j) be the third derivative of x(j). Factor h(f).
(f + 4)*(4*f + 1)/2
Let q(h) be the first derivative of h**6/27 + 92*h**5/45 + 86*h**4/3 - 1220*h**3/27 - 7429*h**2/9 - 4232*h/3 - 2134. Solve q(d) = 0 for d.
-23, -3, -1, 4
Let i be (-58)/203*14 - -4. Determine v so that 8/3*v**2 + i - 2/3*v**3 + 10/3*v = 0.
-1, 0, 5
Let v = -656424 - -3282126/5. Find l such that 6/5*l - 4/5*l**2 - 4/5*l**3 - 2/5*l**5 - 2/5 + v*l**4 = 0.
-1, 1
Let j(g) = 16*g**3 + 59*g**2 + 7*g + 28. Let h(t) = 7*t**3 + 30*t**2 + 3*t + 12. Let f(x) = 7*h(x) - 3*j(x). Factor f(n).
n**2*(n + 33)
Let c(k) = -k**3 + 9*k**2 + 19*k + 35. Let l be c(11). Factor 291*r**4 + 10*r**2 + 45*r**l - 286*r**4 - 35*r**3 - 25*r.
5*r*(r - 5)*(r - 1)**2
Let i be 69/460*2/9. Let c(z) be the third derivative of -i*z**6 + 7*z**2 - 1/15*z**5 + 0*z**4 + 0*z**3 + 0 + 0*z. Factor c(p).
-4*p**2*(p + 1)
Let n be 11 + 71/(-4)*16/28. Factor -n*u**2 + 0 - 8/7*u + 2/7*u**3.
2*u*(u - 4)*(u + 1)/7
Let m = 120 - 116. Determine n so that -m*n**2 - 10*n**2 - n - 5*n**3 - 3*n + 14*n**4 + 9*n**3 = 0.
-1, -2/7, 0, 1
Let n be (2/24)/(6/16). Suppose 39*z = 40*z - 3*g, -5*z + 6*g + 9 = 0. Solve 2/9*d**z - n - 2/9*d + 2/9*d**2 = 0 for d.
-1, 1
Let u(d) be the first derivative of d**4/24 + 13*d**3/18 + 8*d**2/3 + 10*d/3 + 1124. Factor u(m).
(m + 1)*(m + 2)*(m + 10)/6
Let a(r) be the first derivative of 4*r**3/7 - 801*r**2/14 - 201*r/7 - 1429. Suppose a(m) = 0. Calculate m.
-1/4, 67
Let c(u) = u**2 - u + 1. Let n = 555 + -554. Let v(d) = d**4 - 3*d**3 - 6*d**2 + 10*d - 6. Let p(h) = n*v(h) + 6*c(h). Solve p(s) = 0.
-1, 0, 2
Suppose 0*j**3 - 428537 + j**3 + 428616 + 77*j**2 - 157*j = 0. Calculate j.
-79, 1
Let t(w) be the third derivative of 1/180*w**5 - 1/72*w**4 + 1/360*w**6 + 0*w**3 + 0*w - 37*w**2 + 1 - 1/630*w**7. Determine q so that t(q) = 0.
-1, 0, 1
Let q(r) be the second derivative of r**5/20 - 109*r**4/6 - 73*r**3/2 - 1286*r. Factor q(g).
g*(g - 219)*(g + 1)
Suppose 4/3*g**2 + 672 + 228*g = 0. What is g?
-168, -3
Let r(z) be the third derivative of z**7/840 + 13*z**6/240 + 31*z**5/80 + 7*z**4/6 + 11*z**3/6 + 4*z**2 - 583. Solve r(n) = 0 for n.
-22, -2, -1
Let g(c) be the third derivative of -c**8/4032 + c**7/504 - c**5/20 + 23*c**2 + c. Let m(x) be the third derivative of g(x). Factor m(h).
-5*h*(h - 2)
Let w be (-891)/(1 + 2)*(-2)/6. Find p such that 2*p**2 - 30 + 16*p - 39 + w = 0.
-5, -3
Let z(o) be the first derivative of -o**3/5 - 4263*o**2/5 - 6057723*o/5 + 3116. Factor z(t).
-3*(t + 1421)**2/5
Solve -4/11*b**3 + 2/11*b**4 + 0 + 2/11*b**2 + 0*b = 0 for b.
0, 1
Factor 5*w**3 + 20275 + 519*w + 265*w**2 - 20020 - 4*w.
5*(w + 1)**2*(w + 51)
Let y = -21680 - -86721/4. Let w(a) be the third derivative of 0 + 20*a**2 + 1/10*a**5 + 0*a - 1/30*a**6 - 2/3*a**3 + y*a**4. Find j, given that w(j) = 0.
-1, 1/2, 2
Let b(a) be the first derivative of -a**4 - 112*a**3 - 3168*a**2 + 30976*a - 3261. Suppose b(z) = 0. What is z?
-44, 4
Let s = 904 - 909. Let u be (-5 - 71/s) + -2. Factor 2/5*c**3 + 42/5*c + 16/5*c**2 + u.
2*(c + 2)*(c + 3)**2/5
Let v = 4730749/6 + -788454. Suppose -1/3*z**3 + 11/3 - 31/6*z - v*z**2 = 0. What is z?
-11, -2, 1/2
Suppose -b = 5*m - 54, -4*m + 3*b = b - 32. Let c be (-2 - 1) + m - 7. Factor 8/7*a**3 + 4/7*a - 2/7*a**4 - 10/7*a**2 + c.
-2*a*(a - 2)*(a - 1)**2/7
Let k = 18962 + -18959. Let a(p) be the second derivative of -1/6*p**4 + 0*p**2 - 1/84*p**7 + 1/20*p**6 + 0 + 0*p**5 - 27*p + 0*p**k. Factor a(w).
-w**2*(w - 2)**2*(w + 1)/2
Let q(l) be the third derivative of 5*l**8/1008 + l**7/63 - 7*l**6/24 + l**5/2 - 3429*l**2. Determine t, given that q(t) = 0.
-6, 0, 1, 3
Let h(k) be the second derivative of 24631369*k**4/8 - 4963*k**3 + 3*k**2 + 6728*k. Suppose h(l) = 0. What is l?
2/4963
Determine f, given that -28/11*f - 2/11*f**2 - 6 = 0.
-11, -3
Let u = 540587 + -540584. Determine g so that -1/3*g + 0 + 5/3*g**2 - 4/3*g**u = 0.
0, 1/4, 1
Let i = -76864 + 76867. Let -3/7*g**5 + 0*g**2 + 0 - 6/7*g**4 + 0*g + 0*g**i = 0. Calculate g.
-2, 0
Let v(t) be the third derivative of 149*t**2 + 0*t**5 + 1/40*t**6 + 0*t**4 + 0 + 1/224*t**8 + 0*t + 0*t**3 + 3/140*t**7. Factor v(d).
3*d**3*(d + 1)*(d + 2)/2
Let h be (-6 + 1 + -17)*-1. Find f, given that -22 + 13*f - h*f - 3*f**2 + 16 = 0.
-2, -1
Let r(c) be the first derivative of c**6/120 + c**5/5 - 5*c**3/3 - 5*c**2 + 5. Let m(y) be the third derivative of r(y). Factor m(a).
3*a*(a + 8)
Let h = 147 + -145. Let 3 + 9 - 25*t**4 + 5*t**h - 40*t + 5*t**5 + 35*t**3 + 8 = 0. Calculate t.
-1, 1, 2
Let b(q) be the third derivative of q**7/105 + 7*q**6/90 + q**5/15 - q**4/2 - 35*q**3/3 - 16*q**2. Let l(y) be the first derivative of b(y). Factor l(k).
4*(k + 1)*(k + 3)*(2*k - 1)
Let q(d) = 1000*d**2 + 33525*d + 101235. Let m(s) = 57*s**2 + 1972*s + 5955. Let g(c) = -35*m(c) + 2*q(c). Solve g(z) = 0.
-3, 397
Let v(t) be the first derivative of -t**3/12 + 93*t**2 - 34596*t - 3570. Factor v(a).
-(a - 372)**2/4
Let n = 41/5 - 113/15. Let m be 676/78 + 20 - (-27 - -54). Factor m*i - i**2 - n.
-(i - 1)*(3*i - 2)/3
Factor -12/5*z**4 + 1/5*z**5 + 48/5*z**2 + 32/5*z**3 + 0 - 144/5*z.
z*(z - 6)**2*(z - 2)*(z + 2)/5
Solve -141/2*j**3 - 924*j**2 - 3/2*j**4 + 0 - 2178*j = 0 for j.
-22, -3, 0
Determine q so that -3/5*q + 6/5*q**4 - 6/5*q**2 + 0*q**3 + 3/5*q**5 + 0 = 0.
-1, 0, 1
Let l(w) = w**2 - 2. Let n(f) be the first derivative of 7*f**3/3 + 55*f**2/2 + 146*f - 215. Let h(i) = -2*l(i) + n(i). Factor h(b).
5*(b + 5)*(b + 6)
Let n(z) be the third derivative of -1/1260*z**7 + 37/360*z**6 - 19/5*z**5 + 1369/36*z**3 + 0 + 0*z - 37/72*z**4 - 151*z**2. What is c in n(c) = 0?
-1, 1, 37
Suppose -106/11*u**3 - 60/11*u + 0 - 2/11*u**5 + 142/11*u**2 + 26/11*u**4 = 0. What is u?
0, 1, 5, 6
Let h(n) be the third derivative of -n**6/240 + 29*n**5/40 + n**4/48 - 29*n**3/4 + 6494*n**2. Factor h(x).
-(x - 87)*(x - 1)*(x + 1)/2
Let u(x) be the first derivative of 0*x - 4/9*x**3 + 185 + 0*x**2. Factor u(b).
-4*b**2/3
Factor -2/11*w**2 - 9248/11 + 272/11*w.
-2*(w - 68)**2/11
Let q be (-30)/36*120/75*-3 + -2. Factor 78/5*c + 36 - 6/5*c**q.
-6*(c - 15)*(c + 2)/5
Let v be (10/(-6))/(70/(-84)). What is k in -36 + 55*k**v - 6*k**2 + 72 + 84*k = 0?
-6/7
Let h(l) be the first derivative of 2*l**3/9 + 80*l**2/3 - 1294. Let h(b) = 0. What is b?
-80, 0
Let v(i) = 17*i**3 - 4839*i**2 - 2435*i - 10. Let x(a) = -9*a**3 + 2418*a**2 + 1218*a + 6. Let k(q) = 3*v(q) + 5*x(q). Factor k(g).
3*g*(g - 405)*(2*g + 1)
Let x = 62747 + -62745. Factor 4/7*k**3 - 20/7*k - 12/7 - 4/7*k**x.
4*(k - 3)*(k + 1)**2/7
Let a(v) = -v**2 + 115*v - 1498. Let w be a(100). Let n(l) be the first derivative of -25/2*l**w - 15*l + 10/3*l**3 - 8. Solve n(p) = 0.
-1/2, 3
Suppose -5*o + 0*d - 2 = 4*d, 2 = 2*o + 3*d. Let p be (-40)/o + (-7 - -2). Suppose 5*g**4 + 12 + 4*g**3 - p*g**2 - 5*g - 2 + g**3 = 0. Calculate g.
-2, -1, 1
Suppose 1/3*u**5 - 84*u**4 - 250/3*u**2 + 167*u**3 + 0*u + 0 = 0. Calculate u.
0, 1, 250
Find d such that 1/5*d**2 + 0 - 78/5*d = 0.
0, 78
Let a be 3*10/(-30)*-1*(-42)/(-28). Find b, given that 9/2 - 1/4*b**3 + a*b + 1/8*b**4 - 11/8*b**2 = 0.
-2, 3
Suppose 5*a = -x - 173, -184 + 8 = 5*a + 2*x. Let v be 2/a*2 + (-1284)/(-510). Factor v + 4/5*t**3 + 4*t**2 + 28/5*t.
4*(t + 1)**2*(t + 3)/5
Let w be -44 + 48 + (-9*1 - -1). Let c(k) = 9*k + 38. Let r be c(w). Suppose 6/5 - 3/5*q**r + 3/5*q = 0. Calculate q.
-1, 2
Suppose -105986*g + 1050 = -105881*g. Suppose -58/3*n + 26/3*n**2 + 2/3*n**3 + g = 0. Calcula