2 - 1/12*w**3. Factor v(a).
a*(a - 1)*(a + 2)/4
Let s(l) = -4*l**2 - l. Let c be (-5)/2 - (-9)/6. Let h(w) = -52*w**2 - 260*w + 80. Let j(a) = c*h(a) + 16*s(a). Factor j(m).
-4*(m - 20)*(3*m - 1)
Let l(x) = -16*x**3 + 53*x**2 + 31*x + 1. Let p(q) = q**2 + 1. Let r be (-30)/(-6) + (2 + -1)*-8. Let d(h) = r*p(h) - l(h). Let d(i) = 0. Calculate i.
-1/4, 4
Find z, given that -6983*z**2 + 81 - z**5 + 17*z**4 - 6982*z**2 - 225*z - 34*z**3 - 60*z**3 + 14187*z**2 = 0.
1, 3, 9
Let p(b) = -2*b**2 + 18*b - 10. Let o be -2*((-9)/(-2) - 6). Let h(z) = 6*z**2 - 54*z + 32. Let c(m) = o*h(m) + 8*p(m). Factor c(u).
2*(u - 8)*(u - 1)
Let n(s) = s**2 + 8*s + 10. Let c be n(-7). Factor 9*t - 17*t - 5*t**3 + 2*t**2 - c*t**4 + 2*t**3 + 11*t**3 + t**4.
-2*t*(t - 4)*(t - 1)*(t + 1)
Suppose -11*s + 24*s + 4407 = 0. Let j = s + 341. Factor 1/6*i**j - 5/6*i + 2/3.
(i - 4)*(i - 1)/6
Let w(k) be the first derivative of -k**4 - 4160*k**3/3 - 4154*k**2 - 4152*k + 4298. Factor w(i).
-4*(i + 1)**2*(i + 1038)
Let y(p) = p**3 + 4*p**2 + 4*p + 1. Let u(q) = 12*q**3 - 41*q**2 - 308*q - 345. Let f(b) = -2*u(b) + 22*y(b). Determine h, given that f(h) = 0.
-2, 89
Suppose -2*n = -3*i - 68 + 83, 0 = -4*i + 20. Suppose n*o**2 - 241*o + 94*o - 441*o - 3*o**2 - 28812 = 0. What is o?
-98
Let d(b) be the first derivative of -b**5/180 + 13*b**4/72 - 2*b**3/3 - 37*b**2 + 59. Let z(s) be the second derivative of d(s). Factor z(r).
-(r - 12)*(r - 1)/3
Let s = 8506 + -8506. Let u(r) be the third derivative of 0 - 1/210*r**7 - 1/60*r**5 + 1/40*r**6 + s*r + 27*r**2 - 1/8*r**4 + 1/3*r**3. Solve u(b) = 0 for b.
-1, 1, 2
Let r(x) be the first derivative of x**5/300 + 31*x**4/60 + 961*x**3/30 - 21*x**2/2 - x + 4. Let v(y) be the second derivative of r(y). Factor v(h).
(h + 31)**2/5
Let j = 4357 + -4353. Let z(y) be the second derivative of 1/60*y**5 + 1/3*y**2 + 5/18*y**3 + 0 - 7*y + 1/9*y**j. Factor z(g).
(g + 1)**2*(g + 2)/3
Let x(i) be the first derivative of -i**3/18 + 295*i**2/4 - 442*i/3 + 7745. Factor x(s).
-(s - 884)*(s - 1)/6
Let n = 335 - 330. Let t(p) = 7*p**2 - 24*p + 77. Let x(q) be the first derivative of q**3 - 6*q**2 + 38*q + 10. Let h(f) = n*x(f) - 2*t(f). Factor h(l).
(l - 6)**2
What is m in 92/7*m - 66/7*m**2 - 12/7*m**3 + 2/7*m**4 + 144/7 = 0?
-4, -1, 2, 9
Let n(c) be the third derivative of -41*c - 1/24*c**4 - 3*c**2 + 5/21*c**3 + 1/420*c**5 + 0. Find m, given that n(m) = 0.
2, 5
Let r = 18313 + -18313. Let j(t) be the first derivative of -1/55*t**5 + r*t + 1/33*t**3 + 31 + 0*t**2 + 0*t**4. Solve j(q) = 0 for q.
-1, 0, 1
Let h(k) = 96*k - 16896. Let m be h(176). What is n in 1/4*n**4 + m + 0*n + 1/4*n**3 + 0*n**2 = 0?
-1, 0
Let x(r) be the second derivative of 1/9*r**3 + 48*r + 0*r**2 - 4/63*r**7 - 1/9*r**6 + 5/18*r**4 + 1/10*r**5 + 2. Suppose x(t) = 0. What is t?
-1, -1/4, 0, 1
Let p(j) be the first derivative of -j**4/26 - 302*j**3/13 - 50616*j**2/13 + 311904*j/13 + 4053. Suppose p(k) = 0. What is k?
-228, 3
Let w(o) = 26*o + 63. Let f be w(-2). Factor 7*h**4 + 105*h + 7*h**4 - 9*h**4 - 90 - f*h**3 - 3*h**2 + 8*h**2 - 14*h**3.
5*(h - 3)**2*(h - 1)*(h + 2)
Let n be (-105)/7*2/(-6). Let u(p) = p**4 - 2*p**3 - p**2 - p + 1. Let z(i) = 5*i**4 - 15*i**3 - 9*i**2 - 7*i + 6. Let j(f) = n*z(f) - 30*u(f). Factor j(y).
-5*y*(y + 1)**3
Let r(a) be the first derivative of -a**6/600 + a**5/25 - 11*a**4/120 + 36*a**2 + 1. Let y(d) be the second derivative of r(d). Factor y(h).
-h*(h - 11)*(h - 1)/5
Let q(w) be the second derivative of w**5/4 + 775*w**4/12 - 5*w**3/6 - 775*w**2/2 - 1246*w. Solve q(d) = 0.
-155, -1, 1
Suppose 16*h = -21*h + 129833. Let i be 29/(h/66) - (-31)/44. Let -25/4 - 45/4*a + i*a**3 - 15/4*a**2 = 0. What is a?
-1, 5
Let w(y) be the third derivative of -y**8/100800 - y**7/6300 - y**5/30 - 3*y**4/8 + 6*y**2 + 4. Let a(f) be the third derivative of w(f). Factor a(k).
-k*(k + 4)/5
Let m be (-5)/(-35) - (-23315)/(-35). Let a = m + 669. Suppose -26/3*u**2 - 19/3*u - 1/3*u**4 - 14/3*u**a + 1/3*u**5 - 5/3 = 0. What is u?
-1, 5
Let k be ((-15)/10)/(9/(-18)). Suppose 9*d = d - 2*d. Factor 2/3*m**k + 34/15*m**2 + 4/5*m + d.
2*m*(m + 3)*(5*m + 2)/15
Let l(s) be the first derivative of -s**5/5 + 33*s**4/2 - 253*s**3/3 + 156*s**2 - 124*s - 570. Determine m, given that l(m) = 0.
1, 2, 62
Let k(r) be the second derivative of 9*r**5/10 - 589*r**4/2 + 2344*r**3/3 - 780*r**2 - 8427*r. What is z in k(z) = 0?
2/3, 195
Solve -32*r - 172*r**3 + 3143*r**2 - 939*r**2 + 4*r**4 - 3094*r - 4094*r = 0.
0, 5, 19
Suppose 20 = -5*x, 9*s - 13*s - x + 60 = 0. Suppose -3*y - 2*y = -2*z + 20, 4*y + s = -2*z. Factor z + 0*u + 1/3*u**3 - 1/9*u**4 - 2/9*u**2.
-u**2*(u - 2)*(u - 1)/9
Let r = 122 - 23. Let i = 107 - r. Factor -18*m**3 + 54*m**2 - 18*m**2 + 94 - 142 + 2*m**4 + i*m.
2*(m - 6)*(m - 2)**2*(m + 1)
Let m(f) = -f**2 + 20*f + 127. Let o be m(25). Let i(c) be the first derivative of 0*c**o - 1/12*c**4 + 2/9*c**3 - 16 + 0*c. Let i(w) = 0. Calculate w.
0, 2
Let d(a) = 22*a + 39. Let j be d(-2). Let u be (-9)/j - ((-221)/65)/17. Factor 9/2*p + 3 + 3/2*p**u.
3*(p + 1)*(p + 2)/2
Suppose -9*g + 9 - 3 = -12. Let q = 386/3 + -128. Suppose -i**g - q*i - 1/9 = 0. Calculate i.
-1/3
Suppose 4*q + 9*n - 4*n - 1 = 0, -5*n - 23 = -2*q. Let c(m) = m**2 - 879*m + 880. Let u be c(1). Factor -6/11*x**u - 10/11*x**3 + 0 + 18/11*x - 2/11*x**q.
-2*x*(x - 1)*(x + 3)**2/11
Let p(o) = -o**2 + 98*o - 129. Let k(m) = -3*m**2 + 294*m - 403. Let j(z) = -4*k(z) + 14*p(z). Factor j(y).
-2*(y - 97)*(y - 1)
Let u(c) = -19*c**3 + 96*c**2 - 2*c - 11. Let b be u(5). Let i(h) be the second derivative of 1/6*h**3 + h**2 - 1/12*h**b + 0 + 11*h. Let i(f) = 0. What is f?
-1, 2
Let o(d) be the second derivative of -2/15*d**6 - 2*d**4 + 0 + 16*d**2 - 8/3*d**3 + d**5 + 54*d. Factor o(t).
-4*(t - 2)**3*(t + 1)
Let m(q) = 2*q**2 - 2287*q + 649772. Let k(i) = i**2 - 1144*i + 324884. Let t(a) = -7*k(a) + 4*m(a). Find n, given that t(n) = 0.
570
What is y in -9112 - 33*y**3 - 3*y**4 - 15*y + 9262 - 89*y**2 - 10*y**2 = 0?
-5, -2, 1
Let d(z) = 12*z**3 + 276*z**2 - 2143*z + 4951. Let v(r) = r**3 + 25*r**2 - 194*r + 450. Let o(p) = -4*d(p) + 46*v(p). Suppose o(a) = 0. What is a?
7, 8
Let z(m) be the third derivative of 7*m**5/72 - 295*m**4/18 + 335*m**3/12 + 80*m**2 - 2*m - 2. Factor z(s).
5*(s - 67)*(7*s - 3)/6
Suppose 1/12*t**4 + 1/6*t**3 - 143/12*t**2 - 12 - 24*t = 0. What is t?
-12, -1, 12
Let k(o) be the second derivative of o**7/28 + o**6/10 - 27*o**5/20 + 4*o**4 - 23*o**3/4 + 9*o**2/2 - 1479*o. Factor k(p).
3*(p - 1)**4*(p + 6)/2
Let b(i) be the second derivative of 6*i**2 - 6*i + 4 + 3/2*i**4 - 29/3*i**3. Determine h, given that b(h) = 0.
2/9, 3
Let p(m) = m**2 + 1205*m - 9194. Let t(c) = c**2 - 1200*c + 9196. Let q(b) = 2*p(b) + 3*t(b). Factor q(s).
5*(s - 230)*(s - 8)
Suppose -19 = -3*o - 0*p + 2*p, p - 18 = -4*o. Let s be -3 + -15*o/(-15). Determine v, given that -4/3*v - 2/3*v**4 + 4/3*v**3 + 2/3 + 0*v**s = 0.
-1, 1
Suppose 5*h = 6*h - 1. Suppose 4*y - 11 = -3*l - h, -3*l + 3*y + 3 = 0. Factor 74*d**4 + 2*d + 2*d - 4*d**3 + 8*d**l - 6 - 76*d**4.
-2*(d - 1)**2*(d + 1)*(d + 3)
Let o(y) be the first derivative of -1/5*y**2 - 2/5*y**5 - 19 + 0*y - 14/15*y**3 - 11/10*y**4. Factor o(b).
-2*b*(b + 1)**2*(5*b + 1)/5
Let g be (142*(-5)/(-3))/(-2 + 3). Let j = g + -236. Find o such that -4/3*o**3 - j*o - 3*o**2 + 0 = 0.
-2, -1/4, 0
Let m = 607 - 601. Let a(d) be the second derivative of 7*d + 1/21*d**7 + 1/3*d**4 + 0 + 1/2*d**5 + 4/15*d**m + 0*d**2 + 0*d**3. Factor a(g).
2*g**2*(g + 1)**2*(g + 2)
Let j be (-8 - -6)/(-2) + -36 + -1. Let g be j/150*15/(-9). Factor -1/5*d**2 + g*d + 1/5 - 2/5*d**3.
-(d - 1)*(d + 1)*(2*d + 1)/5
Let w(d) be the third derivative of -d**6/100 + 61*d**5/300 + 7*d**4/15 - 11*d**3/30 - 16*d**2 - 15*d. Solve w(o) = 0 for o.
-1, 1/6, 11
Suppose 117*s = 124*s - 21. Factor n**s - 4 + 300*n**2 - 2*n + n**3 - 294*n**2 - 2*n**4.
-2*(n - 2)*(n - 1)*(n + 1)**2
Let l be -2 - (-245 - (0 + -3)). Suppose 57 - 38*d**3 + 40*d**3 + 37*d**2 - 345 + l*d + 9*d**2 = 0. Calculate d.
-12, 1
Let a(g) be the first derivative of g**6/24 - 111*g**5/20 + 431*g**4/16 - 317*g**3/12 - 54*g**2 + 107*g - 6528. Suppose a(f) = 0. What is f?
-1, 1, 2, 107
Let y(u) be the second derivative of -4*u**7/105 - 14*u**6/75 - u**5/5 + u**4/3 + 14*u**3/15 + 4*u**2/5 