Let p(j) = -j**2 + 3*j + 1. Let g(q) = a(q) + 5*p(q). Factor g(b).
5*(b - 4)*(b + 2)
Let v = -160020 + 480064/3. Suppose -v*d**2 - 8/3 - 4*d = 0. What is d?
-2, -1
Let h(i) be the third derivative of i**6/1260 + 16*i**5/63 + 99*i**4/4 - 1458*i**3/7 - 749*i**2. Suppose h(u) = 0. What is u?
-81, 2
Let o(b) = -9*b - 15. Let w be o(-2). Factor -21*u**3 - 4*u - 12*u**w + 37*u**3.
4*u*(u - 1)*(u + 1)
Let z = -560993 + 560995. Solve 160/19*h**4 + 128/19*h**5 + 0 - 168/19*h**3 - 4/19*h + 46/19*h**z = 0.
-2, 0, 1/4
Let s(m) = -3652*m - 149729. Let d be s(-41). Suppose 4080/7*n - 4/7*n**4 - 120/7*n**d - 628/7*n**2 - 4624/7 = 0. What is n?
-17, 2
Solve 2242*y**3 + 51297 + 55769 - 364613 - 2239*y**3 + 259305*y - 1761*y**2 = 0.
1, 293
Let s(f) be the second derivative of -3/140*f**5 + 0*f**2 + 75*f + 0 - 2/21*f**3 + 1/294*f**7 - 2/21*f**4 + 1/105*f**6. Factor s(m).
m*(m - 2)*(m + 1)**2*(m + 2)/7
Let c(v) = -59*v**4 - 615*v**3 + 550*v**2 + 128*v. Let f(i) = -530*i**4 - 5535*i**3 + 4950*i**2 + 1150*i. Let q(o) = -35*c(o) + 4*f(o). What is s in q(s) = 0?
-12, -2/11, 0, 1
Let w(d) be the second derivative of d**7/2520 - 7*d**6/720 + d**5/12 + 33*d**4/2 + 193*d. Let b(x) be the third derivative of w(x). Factor b(o).
(o - 5)*(o - 2)
Factor -1/4*k**2 + 0 + 3/4*k.
-k*(k - 3)/4
Let a = -7601 - -7601. Let r(w) be the third derivative of a + 0*w**6 + 1/30*w**5 + 1/336*w**8 + 4*w**2 - 1/24*w**4 - 1/105*w**7 + 0*w + 0*w**3. Factor r(x).
x*(x - 1)**3*(x + 1)
Let i(s) = 7*s**2 - 40*s - 117. Let z(c) = -9*c**2 + 42*c + 119. Let f(y) = 4*i(y) + 3*z(y). Let f(w) = 0. Calculate w.
-3, 37
Let v(x) be the second derivative of -x**5/40 + 3*x**4/16 + 5*x**3/2 + 19*x**2 - 142*x. Let c(r) be the first derivative of v(r). Solve c(y) = 0.
-2, 5
Let t(m) = 23*m**4 - 312*m**3 + 18*m**2 - 6. Let q(j) = -42*j**4 + 623*j**3 - 33*j**2 + 11. Let b(i) = 6*q(i) + 11*t(i). Find n such that b(n) = 0.
-306, 0
Let h(s) be the third derivative of 9/2*s**3 + 1/20*s**5 + 0 + 8*s**2 + 3/4*s**4 - 2*s. Factor h(n).
3*(n + 3)**2
Let v = 270 + -239. Factor -v*b - 77*b + 215*b + b**2 + 48 - 62*b - 4*b**2.
-3*(b - 16)*(b + 1)
Factor 92*y + 912/5 + 2/5*y**2.
2*(y + 2)*(y + 228)/5
Let o(i) be the first derivative of -i**4/3 - 24*i**3 - 648*i**2 + 51*i - 72. Let d(w) be the first derivative of o(w). Factor d(s).
-4*(s + 18)**2
Suppose -7*r + 80 - 59 = 0. Factor 3*z**5 + 10*z**r - 36*z**2 - 28*z**3 + 4*z**3 + 6*z**4 - 19*z**3.
3*z**2*(z - 3)*(z + 1)*(z + 4)
Let g(s) be the first derivative of -10*s**6/3 + 83*s**5/5 - 23*s**4/8 - 2*s**3/3 + 1062. Solve g(k) = 0 for k.
-1/10, 0, 1/4, 4
Let j(n) = -15*n**3 + 6*n**2 + 15*n + 6. Let u(g) = -13*g**3 + 5*g**2 + 13*g + 5. Let t(k) = 5*j(k) - 6*u(k). Factor t(l).
3*l*(l - 1)*(l + 1)
Suppose 625*v - 445 = 483*v - 161. Factor 286/7*k**v + 2/7 - 242/7*k**3 - 46/7*k.
-2*(k - 1)*(11*k - 1)**2/7
Let m(z) = -z**3 - 2*z**2 - z + 1. Let g(s) = 5*s**3 + 22*s**2 + 34*s - 34. Let y(f) = g(f) + 4*m(f). Let b be y(-11). Factor -2/3*n**2 - 1/6*n**b + 5/6*n + 0.
-n*(n - 1)*(n + 5)/6
Let o(m) be the second derivative of -m**8/336 + m**6/18 - 19*m**3/3 + 76*m. Let z(t) be the second derivative of o(t). Factor z(r).
-5*r**2*(r - 2)*(r + 2)
Let 146*t**2 - 2 - 20*t**5 + 483*t**2 + 163*t**4 + 94 - 484*t**3 - 12 - 324*t - 44 = 0. Calculate t.
3/20, 1, 2, 3
Let u(z) = -4*z**3 + 11*z**2 + 8. Let l(a) = a**3 - 4*a**2 - 3. Suppose 19*b + 60 - 3 = 0. Let w = 15 - 23. Let c(m) = b*u(m) + w*l(m). Factor c(j).
j**2*(4*j - 1)
Let l(t) be the first derivative of -10*t**3/9 - 1784*t**2/3 + 238*t + 1136. Find a such that l(a) = 0.
-357, 1/5
Let a = -18215/24 - -54685/72. Let -1/3*b - 1/9*b**4 - a*b**3 + 0 - 7/9*b**2 = 0. Calculate b.
-3, -1, 0
Let d = 2387 - 2384. Let n(y) be the second derivative of 5/3*y**d + 3*y - 1/4*y**5 + 0 + 0*y**2 - 5/12*y**4. Factor n(v).
-5*v*(v - 1)*(v + 2)
Let g(l) = -l**4 - l**3 - l**2 - 5*l - 1. Let k(d) = 7*d**4 - 113*d**3 + 592*d**2 + 970*d - 1438. Let o(b) = 2*g(b) + k(b). Factor o(n).
5*(n - 12)**2*(n - 1)*(n + 2)
Let p(n) = -10*n**3 - 214*n**2 + 512*n - 103. Let h(f) = -f**3 - 4*f + 1. Let g(y) = h(y) - p(y). Determine t, given that g(t) = 0.
-26, 2/9, 2
Factor 1/2*u - 1/2*u**3 + 1971/2 - 1971/2*u**2.
-(u - 1)*(u + 1)*(u + 1971)/2
Let w(n) be the third derivative of n**5/240 - n**4/48 - n**3/8 + 3378*n**2. Factor w(y).
(y - 3)*(y + 1)/4
Let w be (-65)/25 + 0 + 3. Suppose 0 = 2*l + 2*n + 4, 0 = l + 8*n - 10*n - 10. Find i such that -3/5*i**l + i - w = 0.
2/3, 1
Let o be ((-7184)/(-1440) - 5)/(6/(-4)). Let r(v) be the third derivative of 4/27*v**3 - o*v**5 + 1/54*v**4 + 0 + 0*v - 14*v**2. Factor r(n).
-4*(n - 2)*(n + 1)/9
Let s be (-84 - -5) + -11 + 1. Let v = s + 91. Factor -363/7 - 3/7*k**v - 66/7*k.
-3*(k + 11)**2/7
Let l(g) be the second derivative of 12*g - 5/6*g**4 - 5/42*g**7 + 2/3*g**6 - 5*g**2 + 25/6*g**3 - g**5 - 2. Factor l(s).
-5*(s - 2)*(s - 1)**3*(s + 1)
Let a(d) be the second derivative of -d**5/4 + 25*d**4/12 - 10*d**3/3 - 1433*d. Determine j, given that a(j) = 0.
0, 1, 4
Let x(k) = 3*k + 3. Suppose -26*t + 63*t = 0. Let z be x(t). Factor 0 - 5/3*n**4 - 2/3*n + 8/3*n**z - 1/3*n**2.
-n*(n - 1)**2*(5*n + 2)/3
Factor 6788 - 42*w - 3*w**2 - 171*w - 6998.
-3*(w + 1)*(w + 70)
Let r = -340 - -340. Let l be (r - 2)*(-1)/18*4. Determine i so that -5/9*i + 1/9*i**2 + l = 0.
1, 4
Let i = 361319/4 + -90316. Factor 0 - i*u - 5/4*u**2.
-5*u*(u + 11)/4
Suppose 2*u - 2 = -3*i, 3*i = u - 5*u + 10. Let -50*h**2 - 70*h**3 - 12*h**4 - h**u - 9*h**4 - 2*h**5 = 0. Calculate h.
-5, -1, 0
Let j(o) be the third derivative of -o**6/120 + 3*o**5/20 - 11*o**3/3 - 121*o**2. Let m(s) be the first derivative of j(s). Factor m(y).
-3*y*(y - 6)
Let c(r) be the third derivative of r**6/140 + 11*r**5/105 + 37*r**4/84 + 10*r**3/21 - 364*r**2 - 2*r. Suppose c(v) = 0. What is v?
-5, -2, -1/3
Let g(a) be the third derivative of -a**7/105 + 38*a**6/5 - 26219*a**5/15 + 8626*a**4 - 51529*a**3/3 - 3*a**2 - 291. Factor g(l).
-2*(l - 227)**2*(l - 1)**2
Let p(g) be the first derivative of 1/22*g**4 + 0*g + 24 - 4/11*g**2 + 0*g**3. Find b, given that p(b) = 0.
-2, 0, 2
Let u(y) = -3*y**3 + 2*y**2 + 3*y + 12. Let l be u(3). Let g be l/9*5/((-60)/9). What is x in -g*x**5 - 2*x + 0 - 6*x**2 + 11/2*x**3 + 6*x**4 = 0?
-1, -2/7, 0, 1, 2
Solve -17972*m**3 - 10246*m**3 + 333*m + 7 + 4355*m**4 - 9747*m**5 - 10 - 33254*m**4 - 8730*m**2 = 0 for m.
-1, 1/57
Let z(x) be the third derivative of -x**6/240 + 2*x**5/5 + 151*x**4/48 + 17*x**3/2 + 9*x**2 + 42*x. Factor z(w).
-(w - 51)*(w + 1)*(w + 2)/2
Let o = -29 - -33. Let t be 0/(3/(12/o)). Factor t - 6*h**3 + 3*h**3 - h - 1 + 4*h**3 + h**2.
(h - 1)*(h + 1)**2
Let w(b) = -b**2 - 31*b - 18. Let k be w(-7). Let z be (158 - k)*(2/(-4) - -1). What is p in 3/5 - 24/5*p + 66/5*p**2 - 72/5*p**3 + 27/5*p**z = 0?
1/3, 1
Let a(j) be the third derivative of 2*j**4 + 1/10*j**6 - 3/5*j**5 + 0 - 4*j**2 - 1/140*j**7 - 4*j**3 + 5*j. Factor a(n).
-3*(n - 2)**4/2
Solve 80/3*c + 82/3*c**2 + 22/3*c**3 + 0 + 1/6*c**4 = 0 for c.
-40, -2, 0
Let k(n) be the third derivative of -n**5/180 + 1039*n**4/72 + 520*n**3/9 - 8463*n**2. Find i, given that k(i) = 0.
-1, 1040
Let i(q) = q**3 + 6*q**2 - 24*q. Let j(x) = -12*x**3 - 78*x**2 + 312*x. Let m be 40/4 + 4 + -12. Let a(s) = m*j(s) + 27*i(s). Suppose a(u) = 0. Calculate u.
-4, 0, 2
Let u be 5456/132 + 115/(-30). Solve 1/6*f**4 - 80*f - 16/3*f**3 + 143/3*f**2 + u = 0.
1, 15
Solve -32560*m**2 - 96800/3*m - 294*m**3 - 2/3*m**4 + 0 = 0.
-220, -1, 0
Let a be -4 + (-4)/(2/(-1)) - -4. Factor 70*q + 12 - 5*q**2 + 67*q - 142*q - a.
-5*(q - 1)*(q + 2)
Let y be (24/(-45))/((-3)/(-12) - (-9 + 1704/160)). Find n such that 2/21*n**2 + y*n + 2/7 = 0.
-3, -1
Let q(w) be the first derivative of w**6/30 - 2*w**5/15 - w**4/2 + 207*w**2/2 + 245. Let l(f) be the second derivative of q(f). Factor l(i).
4*i*(i - 3)*(i + 1)
Let w(f) be the second derivative of -38*f**6/3 + 379*f**5/10 - 94*f**4/3 - f**3/3 - f + 2002. Solve w(i) = 0 for i.
-1/190, 0, 1
Let d(n) be the first derivative of 1/2*n**2 + 0*n - 1/36*n**4 - 2 + 1/270*n**5 + 2/27*n**3. Let s(g) be the second derivative of d(g). Factor s(t).
2*(t - 2)*(t - 1)/9
Suppose 0 = 38652*t - 38661*t. Let q(r) be the third derivative of 1/24*r**4 + 0*r**3 + t + 0*r - 22*r**2 + 1/480*r**6 + 1/60*r**5. Factor q(w).
w*