v) = 11*v**4 + 37*v**3 - 70*v**2 + 74*v. Let z(f) = -5*f**4 - 18*f**3 + 35*f**2 - 36*f. Let n(y) = 6*d(y) + 13*z(y). Factor n(o).
o*(o - 8)*(o - 3)*(o - 1)
Factor -192/7*y + 0 - 6/7*y**2.
-6*y*(y + 32)/7
Let i(t) be the second derivative of -t**5/4 - 170*t**4 - 5844*t. Factor i(a).
-5*a**2*(a + 408)
Find y such that 0 - 224/11*y**3 - 2/11*y**4 + 12996/11*y - 6042/11*y**2 = 0.
-57, 0, 2
Let t(b) = -41 + 51*b - 45*b + 10. Let x be t(8). What is p in -x*p**4 - 10*p**3 + 15*p - 5*p**3 + 3 + 9*p**2 + 5*p**4 = 0?
-1, -1/4, 1
Let g be ((-85)/51)/((-35)/84). Let v(k) be the first derivative of 3/5*k**5 - 27/8*k**g + 15/2*k**3 + 12 - 33/4*k**2 + 9/2*k. Factor v(r).
3*(r - 1)**3*(2*r - 3)/2
Let k(x) be the first derivative of -52/45*x**3 + 35 + 169/15*x**2 + 1/30*x**4 + 0*x. Let k(g) = 0. What is g?
0, 13
Let r(x) be the first derivative of 2*x**5/15 - 35*x**4/2 + 200*x**3/9 + 140*x**2 - 832*x/3 - 311. Find s, given that r(s) = 0.
-2, 1, 2, 104
Find m such that 223*m + 191*m + 3*m**3 - 333*m + 27*m**2 + 81 = 0.
-3
What is b in 24*b + 5*b**2 + 233*b - 265 + 3*b = 0?
-53, 1
Let h = 2254 + -2251. Let o(a) be the first derivative of 1/5*a**5 + a**h + 2*a**2 + 21 - 4*a - a**4. Determine r, given that o(r) = 0.
-1, 1, 2
Let q(z) be the third derivative of z**8/1008 - 38*z**7/315 - 2900*z**2. Find l, given that q(l) = 0.
0, 76
Let l(c) = 5*c**2 + 5*c + 10. Let a(g) = -5 + 4*g**2 + 4 + 0 - 5*g**2. Let h(o) = -4*a(o) - l(o). What is f in h(f) = 0?
-3, -2
Let o be 10 + (10370/(-272) - -30). Factor -3/8*l**2 - 3/2*l + o.
-3*(l - 1)*(l + 5)/8
Let u(h) be the third derivative of h**7/336 - h**5/48 - 55*h**3/6 + 73*h**2. Let p(f) be the first derivative of u(f). Factor p(q).
5*q*(q - 1)*(q + 1)/2
Let k = -44 + 48. Suppose -k*i + 17 = 5*r - 19, -i = -4. Factor -300*h + 5*h**2 + 308*h - r*h**3 - h**2.
-4*h*(h - 2)*(h + 1)
Factor -84*y**2 - 317 + 2*y**3 + 57*y + 15*y + 2*y**3 + 45 + 216*y.
4*(y - 17)*(y - 2)**2
Suppose 0*x = -x + 5. Let h(n) = -471*n + 4. Let b be h(0). Let 250/9*s**x - 32/9 - 224/9*s + 550/9*s**b - 464/9*s**2 - 80/9*s**3 = 0. Calculate s.
-2, -2/5, 1
Suppose 135/4*o**2 + 0 + 243/2*o - 12*o**3 + 3/4*o**4 = 0. Calculate o.
-2, 0, 9
Let q(j) = j**2 + 7800*j - 46834. Let p be q(6). Suppose 0 + 3/4*i**4 + i - i**p - 5/4*i**3 = 0. What is i?
-1, 0, 2/3, 2
Suppose -2*g = -5*z + 545, -z - 3*z + 438 = -2*g. Let r = z - 65. Factor 42 - 12*u - r + u**5 + 39*u**2 - 45*u**3 + 21*u**4 - 4*u**5.
-3*u*(u - 4)*(u - 1)**3
Solve -15*l + 168*l**4 - 193 + 15*l**3 - 167*l**4 + 157 + 35*l**2 = 0 for l.
-12, -3, -1, 1
Suppose 54 - 379 - 69 = -197*u. What is h in -1/4*h**u + 10*h - 100 = 0?
20
Let g(f) be the first derivative of -f**4/18 + 4*f**3/9 + 4*f**2 + 102*f + 178. Let x(j) be the first derivative of g(j). Factor x(o).
-2*(o - 6)*(o + 2)/3
Suppose 59*r - 870 = 30*r. Suppose -r = -h - 28. Determine y, given that -h*y + 1/2*y**2 + 3/2 = 0.
1, 3
Let t = -205 - -208. Let i(o) be the second derivative of 5/42*o**7 + 0 + 1/3*o**6 + 0*o**t + 0*o**2 + 1/4*o**5 - 4*o + 0*o**4. Factor i(r).
5*r**3*(r + 1)**2
Let r be -6 - -2*(5 + -3). Let d(q) = 2*q**2 + 3*q + 1. Let m be d(r). Determine j, given that -j**m - 10 - 25*j - 4*j**3 + 131*j**2 - 151*j**2 = 0.
-2, -1
Let m(g) be the second derivative of -7*g**6/18 + 29*g**5/12 - 65*g**4/12 + 95*g**3/18 - 5*g**2/3 - 3920*g. Determine x so that m(x) = 0.
1/7, 1, 2
Let l = -164624 + 823121/5. Solve -68/5*m - l*m**2 - 1156/5 = 0.
-34
Solve -6/7*k**4 - 2/7*k**5 + 6/7*k**3 + 12/7*k + 0 + 22/7*k**2 = 0.
-3, -1, 0, 2
Let y be (4*1/(-7))/((-60)/(-12750)*-85). Factor -104/7*i**2 + 4/7 - y*i.
-2*(4*i + 1)*(13*i - 2)/7
Let p(s) = 9*s**3 - 518*s**2 + 71261*s - 276684. Let b(q) = -7*q**3 + 521*q**2 - 71264*q + 276682. Let j(a) = -4*b(a) - 3*p(a). Factor j(g).
(g - 263)**2*(g - 4)
Let b(u) = 2*u**4 - u**3 + u. Let p(i) = -132*i**4 + 336*i**3 - 1292*i**2 + 1968*i - 1008. Let h(d) = -64*b(d) - p(d). Find l such that h(l) = 0.
1, 2, 63
Factor 0 - 13/3*k - 67/6*k**2 - 5/6*k**3.
-k*(k + 13)*(5*k + 2)/6
Let l(i) be the second derivative of -i**6/450 - i**5/50 + i**4/3 - i**3/6 + 11*i**2/2 + 59*i. Let a(n) be the second derivative of l(n). Factor a(u).
-4*(u - 2)*(u + 5)/5
Let t(v) = v**2 + 8*v + 30. Let b be t(-10). Factor -20*z**3 + 81*z - b*z**2 + 30 + 11*z**3 - 12*z**3 - 40*z**2.
-3*(z - 1)*(z + 5)*(7*z + 2)
Let k(o) be the first derivative of -2*o**5/35 + 13*o**4/7 - 58*o**3/7 - 26*o**2/7 + 176*o/7 - 1597. What is d in k(d) = 0?
-1, 1, 4, 22
Let p(f) be the first derivative of -f**5/20 + f**4/4 + f**3/6 - 3*f**2/2 - 209*f - 166. Let w(v) be the first derivative of p(v). Suppose w(n) = 0. What is n?
-1, 1, 3
Let o(n) be the second derivative of 1/150*n**5 - 18*n + 4/15*n**3 + 0 - 11/2*n**2 + 1/12*n**4. Let y(m) be the first derivative of o(m). Solve y(p) = 0.
-4, -1
Let g(m) be the third derivative of -m**6/105 - 13*m**5/210 + 23*m**4/28 + 6*m**3/7 - 535*m**2. Let g(a) = 0. What is a?
-6, -1/4, 3
Suppose 729*i = 666*i. Factor i + 6/7*y - 5/7*y**2 + 1/7*y**3.
y*(y - 3)*(y - 2)/7
Let i be 40/16*(-4)/(-105). Let u be (-10*(0 - (-18)/(-45)))/(1*2). Factor 0 - i*h**3 - 10/21*h**u + 2/21*h**4 - 2/7*h.
2*h*(h - 3)*(h + 1)**2/21
Let n be (-17)/(17/(-88)) + -8. Let t be 118/n + 16*11/1408. Determine p, given that 6/5 + 14/5*p + t*p**2 = 0.
-1, -3/4
Let c(f) be the first derivative of -4*f**5/45 + 2*f**4/9 + 4*f**3/9 + 10524. Let c(r) = 0. What is r?
-1, 0, 3
Factor 2/3*m**3 + 29701311824/3 + 12083528*m + 4916*m**2.
2*(m + 2458)**3/3
Suppose -610 = -65399*m + 65094*m. Let -36/7*z + 60/7 + 3/7*z**m = 0. Calculate z.
2, 10
Factor 352 - 15*w**2 - 525*w + 21*w**3 + 23 + 0*w**2.
3*(w - 5)*(w + 5)*(7*w - 5)
Let f = 1303 - 27362/21. Let j(k) be the first derivative of 1/7*k**2 + f*k**3 + 1 + 1/7*k. Determine t, given that j(t) = 0.
-1
Let p(f) = 4*f**5 - 4*f**4 + 8*f**3 + f**2 - 12*f + 6. Let g(c) = 5*c**5 - 3*c**4 + 6*c**3 + 2*c**2 - 11*c + 5. Let j(s) = -3*g(s) + 4*p(s). Factor j(u).
(u - 3)**2*(u - 1)**2*(u + 1)
Let c(d) be the third derivative of -d**5/60 + 101*d**4/12 - 10201*d**3/6 - 921*d**2. Suppose c(l) = 0. Calculate l.
101
Let x(y) be the second derivative of y**4/42 + 692*y**3/7 + 1077444*y**2/7 - 2*y + 171. Factor x(w).
2*(w + 1038)**2/7
Let n(q) be the third derivative of 5/8*q**4 + 0*q + 7*q**2 + 0 + 0*q**3 - 1/8*q**6 - 1/42*q**7 + 1/12*q**5. Factor n(b).
-5*b*(b - 1)*(b + 1)*(b + 3)
Factor 1/5*k**5 + 27/5 - 27/5*k - 18/5*k**2 - 9/5*k**4 + 26/5*k**3.
(k - 3)**3*(k - 1)*(k + 1)/5
Let i = 3123 + -3123. Let y(p) be the third derivative of -1/6*p**6 + 0*p + 0*p**3 + 4/105*p**7 + 2/15*p**5 + i + 9*p**2 + 0*p**4. Factor y(r).
4*r**2*(r - 2)*(2*r - 1)
Let r be (-16)/20 - (-2)/1. Let y = -6555 + 6559. Solve 0 - r*n**2 + 0*n + 8/5*n**3 - 2/5*n**y = 0 for n.
0, 1, 3
Let w be (-8)/(-56)*1239/885. Factor -w*a**4 + 3/5 - 2/5*a**2 + 4/5*a**3 - 4/5*a.
-(a - 3)*(a - 1)**2*(a + 1)/5
Factor -16*y - 4*y**2 - 2*y**2 + 41*y**5 + 21*y - 46*y**5 + 10*y**4 - 4*y**2.
-5*y*(y - 1)**3*(y + 1)
Let v be 41 - (8/(-2) + 3). Let t = -39 + v. Solve 16*c**2 + 10*c**4 + 6*c**4 - 5*c**3 + 4*c + 28*c**3 + 4*c**5 + c**t = 0 for c.
-1, 0
Let y(i) be the first derivative of -i**5/60 - i**4/24 - 4*i**2 + 36. Let p(s) be the second derivative of y(s). Factor p(r).
-r*(r + 1)
Let s(c) be the third derivative of c**6/18 + 7*c**5/60 - c**4/4 + 89*c**3/3 - 50*c**2. Let b(m) be the first derivative of s(m). Factor b(q).
2*(q + 1)*(10*q - 3)
Let u = 1940950/17 + -114166. Solve -32/17*q - 2/17*q**4 + u + 32/17*q**3 - 126/17*q**2 = 0 for q.
-1, 1, 8
Let z(k) be the second derivative of 2*k**6/75 - 4*k**5/25 - 11*k**4/15 - 4*k**3/5 + 300*k. Determine q, given that z(q) = 0.
-1, 0, 6
Factor 21*c**3 - 23*c**4 + 1116*c - 31*c**4 - 408*c**2 + 22*c**3 + 72*c**4 - 19*c**4.
-c*(c - 31)*(c - 6)**2
Let p = -123 - -237. Suppose 31*h + 1849 + h**2 + 83*h - p*h + 86*h = 0. Calculate h.
-43
Suppose b = -4*q + 20, 12 = 5*q - 7*b + 5*b. Factor 1433*v**3 + 5*v**q - 4*v**2 - 3*v**5 - 1438*v**3 + 8*v**5 - v**2.
5*v**2*(v - 1)*(v + 1)**2
Let x(l) be the second derivative of -l**5/20 + 43*l**4/12 + 23*l**3/3 - 44*l**2 - 49*l - 4. Factor x(j).
-(j - 44)*(j - 1)*(j + 2)
Let u = 4467 + -4467. Let j(o) be the third derivative of -2/15*o**5 - 8*o**2 + 0*o**4 + 1/30*o**6 + 0*o**3 + 0*o + u. Solve j(c) = 0 for c.
0, 2
Let q = 