156 + 7*l**3/39 + 161*l**2. Let d(w) = 0. Calculate w.
-7, -1, 1
Let o(a) be the second derivative of 0*a**4 + 3*a + 1/90*a**5 + 0*a**3 - 4*a**2 + 0 - 1/540*a**6. Let w(t) be the first derivative of o(t). Factor w(k).
-2*k**2*(k - 3)/9
Let t(w) = -w + 26. Let q be t(23). Let j(k) = 4*k**3 + 5*k**2 + 2*k + 1. Let f(o) = o**3 + o**2 + o + 1. Let y(b) = q*f(b) - j(b). Factor y(m).
-(m - 1)*(m + 1)*(m + 2)
Let k = 512159/554853 - -1/42681. Find c such that k - 10/13*c**2 - 14/13*c = 0.
-2, 3/5
Let x(t) be the first derivative of 0*t**2 + 5*t**4 + 0*t + 2*t**5 - 5/6*t**6 + 19 - 40/3*t**3. Suppose x(g) = 0. What is g?
-2, 0, 2
Suppose -6*h + 129 - 111 = 0. Factor 0 + 0*i - 1/2*i**h - 3/2*i**2.
-i**2*(i + 3)/2
Let b(v) = v**3 + 2*v**2 - 3*v + 2. Let f be b(-3). Suppose -6 = 5*r + 4, -3*h + 2*r = -16. Suppose 15*a**3 + 6 + 2*a - 6*a**f - h*a - 13*a = 0. What is a?
-1, 2/5, 1
Find p, given that 0 + 24/7*p**2 - 39*p + 9/7*p**3 = 0.
-7, 0, 13/3
Factor 10/9*f - 16/3 + 2/9*f**2.
2*(f - 3)*(f + 8)/9
Factor -76310*k + 76348*k - k**2 + 2*k**2.
k*(k + 38)
Let u(m) = 7*m**4 + m**3 - 15*m**2 - 11*m + 8. Let s(a) = 8*a**4 - 16*a**2 - 12*a + 8. Let b(n) = -5*s(n) + 6*u(n). Let b(g) = 0. Calculate g.
-4, -1, 1
Let d(h) = 9*h**3 + 2*h**2 - 31*h + 25. Let o(q) = 4*q**3 + 2*q**2 - 16*q + 12. Let c(l) = 2*d(l) - 5*o(l). Suppose c(u) = 0. Calculate u.
-5, 1
Let w = 17899/44710 - 3/8942. Let p(u) = 3*u**2 - 1. Let v be p(1). Find c, given that 6/5*c**v + w*c**3 + 4/5*c + 0 = 0.
-2, -1, 0
Let r be 0 + ((-12)/4 - -22). Factor -9 + 4*j - 37*j**2 + r*j**2 + 5*j**4 - 28*j - 2*j**4.
3*(j - 3)*(j + 1)**3
Let v(p) be the first derivative of 13 - 1/9*p**3 + 0*p**2 - 2/15*p**5 - 1/36*p**6 + 0*p - 5/24*p**4. Suppose v(o) = 0. Calculate o.
-2, -1, 0
Factor -2997 + 10*g**2 - 115*g - 2954 + 5756.
5*(g - 13)*(2*g + 3)
Let r be (-1 - -1)/(-5 + 7). Let s(v) = v**3 + 10*v**2 - 28*v - 48. Let p be s(-12). Suppose p*h**2 + 3/5*h + r - 3/5*h**3 = 0. Calculate h.
-1, 0, 1
Let f(l) be the second derivative of 3*l**5/40 + 61*l**4/72 + 19*l**3/9 - 5*l**2/3 + 44*l. Factor f(a).
(a + 2)*(a + 5)*(9*a - 2)/6
Let v be (((-210)/(-12))/(-35))/((-1)/(-2)*-7). Suppose 5*m + 2*m**2 + 11/7*m**4 - 34/7*m**3 - 25/7 - v*m**5 = 0. Calculate m.
-1, 1, 5
Let a(d) = -d**3 + 25*d**2 - d + 30. Let u be a(25). Suppose w - 5*w = 4*t - 28, -3*w = u*t - 25. Factor -2/3*q**3 - 1/3*q**5 + 0 - q**4 + 0*q**t + 0*q.
-q**3*(q + 1)*(q + 2)/3
Factor 455/2*d**2 - 5/2 + 225/4*d.
5*(7*d + 2)*(26*d - 1)/4
Let p = 55/21 - 1/21. Let t = p - 2. Factor 0 + t*x**2 + 0*x - 2/7*x**3.
-2*x**2*(x - 2)/7
Let n(w) be the third derivative of -w**7/1050 + 7*w**6/300 - 8*w**5/75 - 16*w**4/15 + 2*w**2 + 5*w. Determine p, given that n(p) = 0.
-2, 0, 8
Let x = 2915/1178 - -15/589. Find z, given that -5/2*z**2 - 5/4*z + 5/4*z**3 + x = 0.
-1, 1, 2
Factor -47*h + 30 + 1/4*h**4 - 21/4*h**3 + 51/2*h**2.
(h - 15)*(h - 2)**3/4
Let o(z) = 11*z**4 + 3*z**3 + 8*z**2. Let c(a) = 8*a**4 + 3*a**3 + 7*a**2. Let j(m) = -4*c(m) + 3*o(m). What is i in j(i) = 0?
-1, 0, 4
Let h be 3*(12/27*6)/2. Factor 33*q**3 - 9*q**2 - 79*q**3 - 3*q**h + 37*q**3 - 3*q.
-3*q*(q + 1)**3
Suppose 0 = -4*t + 3*t + 79. Let b = t - 77. Factor -1/2*m + 1/2*m**b + 0 + 1/2*m**3 - 1/2*m**4.
-m*(m - 1)**2*(m + 1)/2
Determine l so that -16*l - 4*l**2 - 464 + 236 + 228 = 0.
-4, 0
Let w(z) be the first derivative of 1/16*z**4 + 0*z + 1/20*z**5 - 21 + 0*z**3 + 0*z**2. Suppose w(d) = 0. Calculate d.
-1, 0
Let s(y) = 20*y**2 + 265*y - 45. Let o(g) = g**2 + 12*g - 2. Let f(d) = 45*o(d) - 2*s(d). Find r such that f(r) = 0.
-2, 0
Let n(l) be the second derivative of -l**4/16 - 15*l**3/8 - 19*l. Factor n(r).
-3*r*(r + 15)/4
Let k(j) = -49*j**2 - j + 3. Let m(p) = -95*p**2 + p + 7. Let d(f) = -7*k(f) + 3*m(f). Factor d(n).
2*n*(29*n + 5)
Let q(v) = -2*v**3 + 2*v**2 + 44*v - 66. Let p(n) = -9*n**3 + 11*n**2 + 218*n - 331. Let h(o) = 2*p(o) - 11*q(o). Factor h(j).
4*(j - 2)**2*(j + 4)
Factor 21/2*x - 4*x**2 + 1/2*x**3 - 9.
(x - 3)**2*(x - 2)/2
Let q be 27/(-30)*16*152/(-57). Let 0 - 48/5*t**2 - q*t - 3/5*t**3 = 0. What is t?
-8, 0
Suppose 0 = d + 4*h - 17, 2*d + h = 14 + 55. Factor -60*o**2 + 20*o - 30*o**4 + d*o**3 + 28*o**3 + 5*o**5 + 0*o.
5*o*(o - 2)**2*(o - 1)**2
Let q(w) be the second derivative of w**4/36 + 7*w**3/6 - 551*w. Determine s, given that q(s) = 0.
-21, 0
Factor -1784*a + 3*a**3 + 890*a + 51*a**2 + 894*a.
3*a**2*(a + 17)
Let b be 1/6*-1 + (-7)/(-42). Suppose b = -3*l + 25*x - 27*x + 2, 5*l + x - 8 = 0. Factor 2/3 - 2/3*u**3 + 2*u**2 - l*u.
-2*(u - 1)**3/3
Let j(q) = q**2 + 12*q + 13. Let n be j(-11). Find z such that 12 + 7*z - 4*z**3 - n*z - 12*z**2 - z = 0.
-3, -1, 1
Let g = -2212 + 2224. Let u(o) be the first derivative of 5*o**2 + 0*o - g - 5/3*o**3. Factor u(l).
-5*l*(l - 2)
Let c(m) be the first derivative of m**6/360 + m**5/10 + 3*m**4/2 + 6*m**3 - 3. Let r(b) be the third derivative of c(b). Find f such that r(f) = 0.
-6
Let g(t) = 19*t + 172. Let j be g(-9). Factor j - 1/2*x - 1/2*x**2.
-(x - 1)*(x + 2)/2
Suppose x - 573 = 406. Let z be x/198 - 4/9. Suppose 9/2*g + 1/6*g**3 + 3/2*g**2 + z = 0. Calculate g.
-3
Let q = 33 + -15. Suppose 4*m + q = 2, 5*m + 30 = t. Factor -10*n + t*n - 2*n - 9*n**2.
-n*(9*n + 2)
Let t(a) be the second derivative of -a**6/210 + 3*a**5/140 - a**4/84 - a**3/14 + a**2/7 + 51*a - 2. Factor t(m).
-(m - 2)*(m - 1)**2*(m + 1)/7
Factor -1/4*a**2 - 3/4*a + 1.
-(a - 1)*(a + 4)/4
Let f(a) = -120*a**2 + 155. Let o(s) = 7*s**2 - 9. Let p(m) = 2*f(m) + 35*o(m). Let p(q) = 0. What is q?
-1, 1
Suppose 0 = -q + 2*c + 25, -2*c + 0*c = -2*q + 60. Suppose 15*w**3 + 16*w**3 + 0*w**2 - q*w**3 - 2*w**2 - 2*w**4 = 0. What is w?
-1, 0
Let y(w) be the second derivative of 13*w - 2/21*w**4 - 1/70*w**5 + 4/7*w**2 + 0 + 1/21*w**3. Factor y(k).
-2*(k - 1)*(k + 1)*(k + 4)/7
Suppose -7*q + 52 = -3*q. Determine p so that 29*p**3 - 1 - 2*p - 17*p**3 - 3*p**2 - q*p**3 - p = 0.
-1
Let w be (-4302)/495 + 9 - (-2)/22. What is y in -w*y - 4/5*y**2 + 2/5*y**4 + 2/5 - 2/5*y**5 + 4/5*y**3 = 0?
-1, 1
Suppose -79*f = -82*f + 51. Factor 2*t**5 + 20 - 15*t**4 + 5*t**3 - 7*t**5 + 4*t + 56*t + f*t**2 + 38*t**2.
-5*(t - 2)*(t + 1)**3*(t + 2)
Factor -289*f - 595*f**2 - 1293/4*f**3 + 0 - 1/4*f**5 - 35/2*f**4.
-f*(f + 1)**2*(f + 34)**2/4
Let b(v) = v**2 + 326*v - 26894. Let y(a) = -5*a**2 - 1303*a + 107575. Let c(h) = -18*b(h) - 4*y(h). Solve c(w) = 0.
164
Let w(m) be the first derivative of 5/12*m**3 + 0*m - 21 + 5/2*m**2. Solve w(v) = 0.
-4, 0
Let y be (306/34)/((5 - 2) + 0). Let z(b) be the first derivative of 0*b + 0*b**2 + 1/3*b**y - 5. Factor z(f).
f**2
Let d be 10/15 + 43/(-66). Let o(w) be the second derivative of -1/11*w**2 + d*w**4 + 0*w**3 + 0 - 3*w. Factor o(u).
2*(u - 1)*(u + 1)/11
Let k(p) be the third derivative of 23*p**2 + 1/150*p**5 + 1/600*p**6 - 4/15*p**3 - 1/30*p**4 + 0*p + 0. Let k(s) = 0. Calculate s.
-2, 2
Let n(k) = 2*k**2 + 52*k - 13. Let i(z) = z**2 + 53*z - 14. Let o(f) = 3*i(f) - 4*n(f). Factor o(g).
-(g + 10)*(5*g - 1)
Let n = 372 - 372. Let d(l) be the third derivative of n*l**3 - 1/90*l**6 + 0*l - 1/45*l**5 + 0 + 2/63*l**7 + 0*l**4 - l**2 - 1/84*l**8. Factor d(h).
-4*h**2*(h - 1)**2*(3*h + 1)/3
Let d = 28 + -26. Suppose 2*z - d = z. What is s in -5*s**z + s**5 + 6*s**3 - 9*s**5 + 2*s**2 + s**2 = 0?
-1, 0, 1/2
Let i(p) be the first derivative of -p**2 - 4*p + 2/3*p**3 + 19. Determine c, given that i(c) = 0.
-1, 2
Let w(o) be the first derivative of -1/72*o**4 + 1/18*o**3 - 4*o - 1/12*o**2 + 5. Let s(n) be the first derivative of w(n). Factor s(k).
-(k - 1)**2/6
Let x be 4/(-96) + (-676)/(-1248). Factor 1/4*r**2 + 0 + x*r**3 + 0*r - 3/4*r**4.
-r**2*(r - 1)*(3*r + 1)/4
Let u(a) be the second derivative of -a**3/6 + 5*a**2/2 + 3*a. Let p be u(4). Factor -2 + p - 3 + 20 + 196*q**2 + 112*q.
4*(7*q + 2)**2
Let d(h) be the third derivative of h**5/20 - 11*h**4/8 - 13*h**3 - 236*h**2. Factor d(g).
3*(g - 13)*(g + 2)
Factor 2/11*r**3 + 26/11*r**2 + 0 + 0*r.
2*r**2*(r + 13)/11
Factor 15*t**3 + 2*t**4 + 792*t**5 + 8*t**4 - 797*t**5.
-5*t**3*(t - 3)*(t + 1)
Let d(q) = -q**2 - 8*q + 18. Let s be d(-9). Suppose 3 = -3*f + s. Determine r so that r**3 + 1/2*r**f + 0 + 0*r + 1/2*r**4 = 0.
-1, 0
Suppose 2/5 + 2/5*d**3 + 6/5*d + 6/5*d**2 = 0. What is d?
-1
Let y(q) be the second derivat