(u) = 0?
-1, 2
Let r(n) = -3*n**2 + 4*n + 42. Let p be r(0). Let w be p/70*-5*(-1 - 0). What is a in 16/17*a + 2/17*a**w + 8/17 + 10/17*a**2 = 0?
-2, -1
Let o(d) = -93*d**3 - 7863*d**2 + 7872*d + 42. Let r(x) = 11*x**3 + 925*x**2 - 926*x - 5. Let z(f) = 5*o(f) + 42*r(f). Factor z(y).
-3*y*(y - 1)*(y + 156)
Let b(d) be the second derivative of -15*d**4/4 - 385*d**3/6 - 245*d**2 + 5116*d. Determine o so that b(o) = 0.
-7, -14/9
Let z = 38/215 - -139/430. Find x, given that z*x**2 + 7/2 + 4*x = 0.
-7, -1
Let h(i) be the first derivative of i**8/672 + i**7/210 + i**6/240 + 3*i**2/2 - 27*i + 79. Let t(d) be the second derivative of h(d). Let t(c) = 0. Calculate c.
-1, 0
Let g(k) = -5*k**3 - 9*k**2 - 3*k - 3. Suppose 4*r + 719 = 739. Let u(x) = -6*x**3 - 10*x**2 - 2*x - 3. Let t(j) = r*g(j) - 4*u(j). Factor t(o).
-(o + 1)**2*(o + 3)
Let t = 2180 + -2180. Let k(h) be the first derivative of -2 + 0*h**2 + 1/5*h**3 + t*h. Factor k(l).
3*l**2/5
Let m(z) be the third derivative of z**5/90 - 73*z**4/36 + 92*z**3/3 - 461*z**2 - 4. Suppose m(d) = 0. What is d?
4, 69
Let b(s) be the third derivative of 0*s - 95/24*s**4 + 5/2*s**3 + 30 - 5/24*s**6 + 7/4*s**5 - s**2. Factor b(r).
-5*(r - 3)*(r - 1)*(5*r - 1)
Factor -236/7*s - 2/7*s**3 + 192/7 + 46/7*s**2.
-2*(s - 16)*(s - 6)*(s - 1)/7
Let g(z) be the first derivative of 13*z**4/12 - 29*z**3/9 - 11*z**2/2 + 3*z - 860. Factor g(w).
(w - 3)*(w + 1)*(13*w - 3)/3
Let n(o) be the first derivative of o**4/40 + 51*o**3/10 - 2429. Determine d so that n(d) = 0.
-153, 0
Let x(i) be the third derivative of i**8/840 + 4*i**7/525 - i**6/150 - 2*i**5/25 + 3*i**4/20 - 419*i**2. Factor x(w).
2*w*(w - 1)**2*(w + 3)**2/5
Let h(z) be the first derivative of z**3/9 + 157*z**2/3 + 24649*z/3 - 7007. Factor h(g).
(g + 157)**2/3
Let o be (88/(-176))/((-2*3/60)/1). Let x(l) be the third derivative of -3/2*l**4 + 18*l**3 + 1/20*l**o + 0 - 14*l**2 + 0*l. What is b in x(b) = 0?
6
Let q be (-2 - (68/24 - 6))*(-20)/(-35). Let i(v) be the first derivative of -q*v**3 + 6*v**2 - 10*v + 20. Let i(r) = 0. Calculate r.
1, 5
Let w = -26222 + 26224. Let o(k) be the first derivative of -6*k + 27/2*k**w - 46 + 21/16*k**4 - 15/2*k**3. Find r such that o(r) = 0.
2/7, 2
Let h(g) be the second derivative of g**5/5 - 245*g**4/3 + 9922*g**3 + 30258*g**2 + 277*g - 3. Factor h(i).
4*(i - 123)**2*(i + 1)
Let b(d) = 13*d**3 + 182*d**2 - 195*d + 4. Let m(l) = 37*l**3 + 548*l**2 - 585*l + 11. Let u be 19/(-38)*(4 + 4). Let g(q) = u*m(q) + 11*b(q). Factor g(h).
-5*h*(h - 1)*(h + 39)
Find r, given that 13*r**5 + 10*r**5 - 93 - 24*r**5 + 16*r**3 + 29 + 25*r**2 - 9*r**2 - 48*r = 0.
-2, 2, 4
Let z = 27/17069 - 10303569/6930014. Let u = 3/203 - z. Factor u*d**2 - 3/2*d + 0.
3*d*(d - 1)/2
Let t(j) be the third derivative of -2*j**2 + 0*j - 1/24*j**6 + 7/12*j**5 + 0 + 25/6*j**3 - 55/24*j**4. Factor t(z).
-5*(z - 5)*(z - 1)**2
Let j = 2003545 - 4007089/2. Factor 2*d + j*d**3 + 0 - 5/2*d**2.
d*(d - 4)*(d - 1)/2
Let o(q) be the first derivative of 2*q**5/55 - 12*q**4/11 + 284*q**3/33 + 24*q**2/11 - 26*q - 318. Let o(j) = 0. What is j?
-1, 1, 11, 13
Factor -13*q + 13*q**4 + 1764*q**2 + 33*q - 485*q**3 - 1880 - 8*q**4 - 354*q**2.
5*(q - 94)*(q - 2)**2*(q + 1)
Let r(g) be the first derivative of g**4/2 - 46*g**3/3 - 49*g**2 - 50*g + 192. Suppose r(j) = 0. Calculate j.
-1, 25
Suppose -3*y + 25 = 5*c - 0*y, 5*c + 4*y = 20. Factor -41*l - c - 14 + 2*l**2 + 17*l + 4*l.
2*(l - 11)*(l + 1)
Let v(x) be the first derivative of -35*x**4/26 - 214*x**3/39 - 76*x**2/13 - 8*x/13 + 4753. Suppose v(s) = 0. Calculate s.
-2, -1, -2/35
Let z = -33901 - -5356591/158. Let b = z - -2/79. Factor -3/4*n**3 - b*n**2 - 3/4*n + 0.
-3*n*(n + 1)**2/4
Let r = -2325 - -2345. Let d be (-3 + r + -17)*1/1. Factor 10/11*y**4 + 2/11*y**5 + 0*y + d + 14/11*y**3 + 6/11*y**2.
2*y**2*(y + 1)**2*(y + 3)/11
Let g = -119 - 111. Let o = g - -2531/11. Let -o*k**2 + 0 + 3/11*k = 0. What is k?
0, 3
Let o be 4*(-3)/54 - 4*(-327)/1512. Let d(b) be the first derivative of o*b**2 - 39 - 12/7*b + 1/7*b**3. Find v, given that d(v) = 0.
-4, 1
Factor 52269*g**2 + 29*g**3 + 308*g**3 - 52272 + 3*g**4 - 27*g**3 + 24411*g + 482*g**3 - 25203*g.
3*(g - 1)*(g + 1)*(g + 132)**2
Let t(o) be the first derivative of -3*o**4/4 + 7*o**3 + 138*o**2 + 252*o - 1885. Find n, given that t(n) = 0.
-6, -1, 14
Let v be (5/2)/(10/300). Let k = -71 + v. Factor 4*l**3 - 4*l**3 - 12*l**k + 8*l**3 - 4*l**5 + 8*l**5.
4*l**3*(l - 2)*(l - 1)
Let g(t) be the second derivative of 343*t**5/5 - 98*t**4 + 56*t**3 - 16*t**2 - 39*t - 3. Determine x so that g(x) = 0.
2/7
Factor 4*s**2 - 4101*s + 1418*s - 2363*s + 4460544 - 715*s - 2687*s.
4*(s - 1056)**2
Let a be 17/(-68) - (406/32)/((-66)/88). Determine u, given that a - 116/3*u**3 - 170/3*u - 2/3*u**5 + 26/3*u**4 + 212/3*u**2 = 0.
1, 5
Factor 236*g**2 + 238*g**2 + 236*g**2 - 10*g**3 + 10*g - 940*g**2 + 235*g**2 - 5*g**4.
-5*g*(g - 1)*(g + 1)*(g + 2)
Suppose 3*w + 22950 = -6*w. Let f be (-7)/((-119)/(-2)) + (-980)/w. Determine g, given that f*g**2 + 2/15*g + 2/15*g**5 - 2/15*g**4 - 4/15*g**3 - 2/15 = 0.
-1, 1
Let l = -102/445 - -4747/7120. Let t(g) be the first derivative of -l*g**4 - 1/6*g**3 + 7 + 1/2*g + 7/8*g**2. What is b in t(b) = 0?
-1, -2/7, 1
Let q = 247114 + -247112. What is m in -28 - 2/3*m**q + 34/3*m = 0?
3, 14
Determine u, given that -48/7 - 9/7*u**3 - 4/7*u + 36/7*u**2 - 1/7*u**4 = 0.
-12, -1, 2
Let 483*g - 495/2*g**2 - 3/4*g**4 + 177/4*g**3 - 318 = 0. Calculate g.
2, 53
Let z(f) be the first derivative of 4*f**5/5 - 11*f**4/2 + 12*f**3 - 4*f**2 - 16*f - 762. Solve z(i) = 0 for i.
-1/2, 2
Let k(a) = -2*a**3 - 3*a - 1. Let g(t) = 105*t**3 + 210*t**2 - 348*t - 156. Let f(q) = g(q) + 36*k(q). Factor f(p).
3*(p - 2)*(p + 8)*(11*p + 4)
Let x be ((-2376)/(-825))/((-48)/(-360)). Factor 3/5*u**2 - x*u + 972/5.
3*(u - 18)**2/5
Let s(t) be the second derivative of -7/6*t**4 + 17/3*t**3 - 1/10*t**5 - 2 - 9*t**2 + 7*t. Solve s(l) = 0 for l.
-9, 1
Solve 76/3*u**4 + 1/3*u**5 + 0 + 27436/3*u**2 + 722*u**3 + 130321/3*u = 0 for u.
-19, 0
Suppose 3*v - 93 - 11 = 4*a, 4*v - 164 = -a. Let s be -1*1*v/(-25). Determine y so that 2*y**4 + 0 + s*y**2 - 16/5*y**3 + 0*y - 2/5*y**5 = 0.
0, 1, 2
Let d = 8819 - 8819. Let l(t) be the second derivative of 1/16*t**4 + d - 3/8*t**3 + 3/4*t**2 - 4*t. Let l(b) = 0. What is b?
1, 2
Let z be (-3)/(-9)*8/((-48)/(-810)). Let d be (z/(-75))/(1/(-5)). Factor 0*m - 1/3*m**d + 1/3*m**4 - 2/3*m**2 + 0.
m**2*(m - 2)*(m + 1)/3
Let c(a) be the third derivative of 0*a**3 + 0*a + 1 + 1/210*a**5 - 9*a**2 + 1/42*a**4. Find f, given that c(f) = 0.
-2, 0
Suppose -3*b - 33 = n, 0 = 4*n + 3*b - 7*b + 100. Let f = -22 - n. Factor 33*q**f - 13*q**5 - 13*q**5 - 13*q**2 + 27*q**3 - 23*q**4 + 2*q.
q*(q - 1)**3*(7*q - 2)
Factor 876193*d**2 + 5*d**4 - 876283*d**2 + 340*d - 157 - 38 - 60*d**3.
5*(d - 13)*(d - 1)**2*(d + 3)
Let t(b) be the second derivative of -b**5/510 + b**4/51 + 5*b**3/51 + 78*b**2 - b - 17. Let i(r) be the first derivative of t(r). Factor i(a).
-2*(a - 5)*(a + 1)/17
Let u(m) = 24*m**2 - 4*m - 24. Let o(a) = -a**3 + 26*a**2 - 2*a - 26. Let c(t) = 4*o(t) - 3*u(t). Solve c(w) = 0.
-1, 1, 8
Let x(h) be the second derivative of h**4/30 + 12*h**3/5 + 7*h**2 + 947*h. Factor x(q).
2*(q + 1)*(q + 35)/5
Let 104/3*p**3 + 19208/3 + 1/3*p**4 + 15190/3*p + 999*p**2 = 0. Calculate p.
-49, -4, -2
Let a be (137/(-12) - -7)*(-9)/2. Let b = 653/24 - a. Factor b*p**3 + 16*p**2 + 4/3 + 10*p.
2*(p + 1)**2*(11*p + 2)/3
Let s be (-4)/3 - (-10 - 80/(-12)). Find q, given that -3*q - 12/5 - 3/5*q**s = 0.
-4, -1
Let f be 4/3 - 2/(-3). Let h be (3 + -2)*8/f. Determine r, given that 209*r - 5 - 2*r**h - 6*r**3 + 4*r**2 - 185*r + 21 = 0.
-2, -1, 2
Let i be 4 + (0 - -1) + -1. Suppose 3 = j - 4*a + 12, 4*a = -i*j + 24. Factor -y + 21*y**3 - 18*y**j - 8*y - 6*y**2.
3*y*(y - 3)*(y + 1)
Let s(w) be the third derivative of 0*w + 11/6*w**3 + 1/12*w**4 + 1/24*w**5 + 0 + 1/120*w**6 - 9*w**2. Let b(u) be the first derivative of s(u). Factor b(f).
(f + 1)*(3*f + 2)
Let o(a) = -3 - a - 8*a**3 - 2*a**2 + a. Suppose 0 = -5*x - 35 + 10. Let r(k) = -15*k**3 - 5*k**2 - 5. Let d(y) = x*o(y) + 3*r(y). Factor d(n).
-5*n**2*(n + 1)
Suppose 31*k + 40 - 195 = 0. Let z be 1*(47/(-235) - (-4)/k). Determine r so that -z*r**3 + 0 + 9/5*r + 6/5