Determine c so that f(c) = 0.
-2, 0
Let w(d) = -85*d**3 - 640*d**2 - 11439*d - 10821. Let c(t) = 8*t**3 + 64*t**2 + 1144*t + 1082. Let v(z) = -42*c(z) - 4*w(z). Suppose v(k) = 0. Calculate k.
-12, -1, 45
Let p(c) be the third derivative of 0 + 3072/5*c**3 + 0*c + 1/150*c**5 - 16/5*c**4 - 60*c**2. Factor p(t).
2*(t - 96)**2/5
Let s(z) = 2*z**3 - 2*z**2 + 2. Let u(k) = -8*k**3 - 100*k**2 - 512*k - 12. Let n(d) = 6*s(d) + u(d). Let n(i) = 0. Calculate i.
-4, 0, 32
Let v(t) be the first derivative of -t**6/15 + t**5/10 + t**4/3 - 36*t + 51. Let d(r) be the first derivative of v(r). Solve d(u) = 0 for u.
-1, 0, 2
Solve 2*u**5 - 2600*u + 5195*u - 2637*u + 61*u**4 - 149*u**2 - 49*u**3 + u**5 = 0.
-21, -1, -1/3, 0, 2
Let h(p) = 6*p**2 + 9*p - 2. Let z = -54 + 49. Let n(j) = -9*j - 140 + 143 - 6*j**2 + 0*j. Let a(d) = z*n(d) - 6*h(d). Suppose a(x) = 0. Calculate x.
-1, -1/2
Suppose -g - 33 = -5*w, 0 = g - 3*w + 29 - 10. Let t(l) be the third derivative of 0 + 40*l**g + 0*l + 4/3*l**3 - 1/15*l**5 + 1/6*l**4. Factor t(b).
-4*(b - 2)*(b + 1)
Let r(c) be the second derivative of c**7/63 + 196*c**6/45 + 9797*c**5/30 + 9409*c**4/9 + 7974*c. Solve r(h) = 0.
-97, -2, 0
Let z be ((-4)/(-2) + (-19)/((-2660)/(-400)))*224/(-18). Factor 136/3*p**2 - 1/3*p**4 + 112/3 + 1/3*p**5 - 208/3*p - z*p**3.
(p - 2)**4*(p + 7)/3
Let w(q) be the second derivative of -q**7/1680 + q**6/240 + q**5/96 + 52*q**2 - 127*q. Let m(x) be the first derivative of w(x). Solve m(h) = 0.
-1, 0, 5
Let w = -1061974 - -1061977. Solve -1/4*y**w + y + 0 + 1/4*y**4 - y**2 = 0 for y.
-2, 0, 1, 2
Let q = 712261 + -712257. Let j(i) = i**2 + 2*i - 1. Let u be j(-3). Factor 8/7*g**q + 4/7*g + 0 - 8/7*g**u + 0*g**3 - 4/7*g**5.
-4*g*(g - 1)**3*(g + 1)/7
Let d = 579 - 580. Let j be 532/(-84) + d + 10. Factor j*c**2 - 4 + 2/3*c**3 + 2/3*c.
2*(c - 1)*(c + 2)*(c + 3)/3
Factor 40/3*n - 25 - 5/3*n**2.
-5*(n - 5)*(n - 3)/3
Suppose 134 = 35*c + 43*c - 11*c. What is u in 0 - 33/5*u - 3/5*u**c = 0?
-11, 0
Let q(f) be the first derivative of -5*f**4/4 - 65*f**3/3 - 100*f**2 - 180*f + 2212. What is g in q(g) = 0?
-9, -2
Suppose 0 = 3*r - 56*r. Let y(q) be the second derivative of -1/28*q**7 - 3/40*q**5 + 0*q**2 + r + 0*q**4 - 6*q + 0*q**3 - 1/10*q**6. Find b such that y(b) = 0.
-1, 0
Let v = -244692 - -734080/3. Factor 0*r + 0 + v*r**2.
4*r**2/3
Let c be 32/(-3)*(-4464)/96. Factor -5*j - c*j**2 - 5*j**3 + 4 + 506*j**2 - 4.
-5*j*(j - 1)**2
Let s(i) be the first derivative of 3*i**5/2 + 9*i**4/8 - 135*i**3/2 + 567*i**2/4 + 243*i + 2433. Let s(d) = 0. Calculate d.
-6, -3/5, 3
Let k(s) be the first derivative of -2*s**3/3 - 14*s**2 + 702*s + 540. Solve k(d) = 0 for d.
-27, 13
Factor -36*k**2 + 8*k**2 + 44*k + 168 + 11*k**2 + 13*k**2.
-4*(k - 14)*(k + 3)
Let w(b) be the third derivative of 2/45*b**5 + 0*b**3 + 0*b + 0*b**4 + 0 + 79*b**2 + 1/315*b**7 - 1/45*b**6. Solve w(y) = 0.
0, 2
Suppose 0 = -6492*p + 6255*p + 474. Solve 0 + 0*j - 1/2*j**3 + 0*j**p = 0 for j.
0
Let s be (-4244)/(-10) - 2/5. Factor s*f - 114*f + 1884*f**2 - 1889*f**2 - 4805.
-5*(f - 31)**2
Suppose -128*j + 132*j + 2040 = 0. Let s = 2041/4 + j. Factor -3/4*d + 1/4*d**4 + 3/4*d**3 - 1/2 + s*d**2.
(d - 1)*(d + 1)**2*(d + 2)/4
Let t(a) = 3 - 16 + 10*a + 8. Let y(h) = h**2 + 11*h - 8 - 2 - 2 + 6. Let v(r) = 6*t(r) - 5*y(r). Suppose v(q) = 0. What is q?
0, 1
Factor -166/7*c**2 + 12*c + 0 + 80/7*c**3 + 2/7*c**4.
2*c*(c - 1)**2*(c + 42)/7
Let p(w) be the second derivative of -w**6/1080 + 13*w**5/90 - 169*w**4/18 + w**3/2 - 13*w**2 + w + 8. Let v(f) be the second derivative of p(f). Factor v(z).
-(z - 26)**2/3
Let t(f) be the third derivative of -35*f**2 + 0 + 4/9*f**3 + 4/9*f**4 - 7/180*f**6 + 1/18*f**5 - 2*f. Suppose t(b) = 0. What is b?
-1, -2/7, 2
Factor 3/5*h**2 + 18 + 51/5*h.
3*(h + 2)*(h + 15)/5
Let n(b) be the first derivative of -16*b**2 - 16/3*b**3 - 1/6*b**6 + 1/5*b**5 + 3*b**4 + 48*b + 72. Suppose n(a) = 0. Calculate a.
-3, -2, 2
Let t be 6/27 + (-292)/18. Let c be 3/24 - (0 + 46/t). Factor 558*l**4 - 554*l**4 + 4*l**2 - l**3 - 7*l**c.
4*l**2*(l - 1)**2
Let h(o) be the third derivative of -5*o**8/108 + 214*o**7/945 - 37*o**6/90 + 41*o**5/135 - o**4/27 - 17*o**2 + 111. Find q such that h(q) = 0.
0, 2/35, 1
Let v(t) = -6*t**2 + 181*t - 884. Let y be v(24). Factor 0 + 1/3*d**2 - 2*d + 5/3*d**y + 4*d**3.
d*(d + 1)*(d + 2)*(5*d - 3)/3
Determine z so that 0*z**5 - 81*z**2 - 59*z**2 - 14*z**5 - 832*z**3 - 11*z**2 + 514*z**4 - 129*z**2 = 0.
-2/7, 0, 2, 35
Let q be (-1 + 2/(-4) - 261/(-126))/(308/98). Solve 10/11*y - q*y**3 - 2/11*y**2 - 6/11 = 0 for y.
-3, 1
Let b(m) be the first derivative of -m**3 - 1 - 3/5*m**5 + 9/2*m**2 - 9/4*m**4 + 6*m. Factor b(z).
-3*(z - 1)*(z + 1)**2*(z + 2)
Let -84*r**2 + 20800 - 1/5*r**4 + 47/5*r**3 - 1520*r = 0. Calculate r.
-13, 20
Let x(u) be the first derivative of u**6/6 - 2*u**5/5 - 3*u**4 + 6*u**3 + 27*u**2/2 + 2892. Factor x(g).
g*(g - 3)**2*(g + 1)*(g + 3)
Let v(r) be the second derivative of -3*r + 10 - 3/20*r**5 + 0*r**2 + 10*r**4 - 200*r**3. Let v(o) = 0. What is o?
0, 20
Let n be ((-6)/28)/((-2790)/6200). Let m(p) be the first derivative of 29 + n*p**3 + 0*p + 4/7*p**2. Solve m(i) = 0 for i.
-4/5, 0
Let s(c) = -c**3 + c**2 + 6*c - 1. Let x(r) = -4*r**4 - 436*r**3 - 12536*r**2 - 23784*r - 11660. Let t(m) = 4*s(m) + x(m). Factor t(y).
-4*(y + 1)**2*(y + 54)**2
Suppose 2 = -3*c + 4*c. Let f be ((-36)/45)/(c/(-5)). Factor -2*b - 6*b**f + 3*b**2 - b**2 - 6*b.
-4*b*(b + 2)
Factor 2/11*p**2 - 126/11*p + 124/11.
2*(p - 62)*(p - 1)/11
Let m(l) = -1695*l**3 - 3312*l**2 + 5133*l - 90. Let h(c) = -242*c**3 - 473*c**2 + 733*c - 13. Let u(q) = 36*h(q) - 5*m(q). Factor u(n).
-3*(n - 1)*(n + 3)*(79*n - 2)
Let l(b) be the first derivative of -3*b**4/32 - 343*b**3/8 - 3268. Factor l(j).
-3*j**2*(j + 343)/8
Let r be (165/66)/(9/(-12) - -1). Suppose 0 = -r*h + 20 - 0. Suppose -2*j - 1/2*j**h - 2 = 0. Calculate j.
-2
Let p(z) be the third derivative of -z**5/60 - 63*z**4/4 - 11907*z**3/2 - 316*z**2. Factor p(g).
-(g + 189)**2
Find y such that -154/15*y**4 - 362/15*y**3 + 2*y**5 + 0 - 206/15*y**2 - 28/15*y = 0.
-1, -2/3, -1/5, 0, 7
Let r = 1622151/5 - 324429. Suppose -54/5*n + r*n**2 + 24 = 0. Calculate n.
4, 5
Let h(a) be the second derivative of -47*a + 0 - 5/13*a**3 + 1/78*a**4 + 2*a**2. Suppose h(o) = 0. What is o?
2, 13
Suppose 0 = 206*u - 1114*u + 1887 + 837. Factor 0 - 1/5*l**u + 2/5*l**2 + 0*l.
-l**2*(l - 2)/5
Suppose -11*c + 7005 = -3346. Factor 6*t**3 - 3*t**4 - c + 470 + 471 - 3*t**2.
-3*t**2*(t - 1)**2
Suppose -15 = 5*m, -2*c - 4*m = -7*c + 27. Find o such that 24 - 351*o**c - 292*o + 613*o**4 - 3043*o**4 + 1640*o**2 - 729*o**5 - 606*o**2 = 0.
-3, -1, 2/9
Let l(t) be the third derivative of -289/21*t**4 + 83*t**2 + 2/735*t**7 - 6/35*t**6 + 17/5*t**5 + 0*t**3 + 0 + 0*t. Factor l(q).
4*q*(q - 17)**2*(q - 2)/7
Let s(k) be the third derivative of k**7/525 - 19*k**6/300 + 32*k**5/75 - k**4 - 4032*k**2. Factor s(b).
2*b*(b - 15)*(b - 2)**2/5
Let r = -92 + 148. Factor -25 - 5 - r*z + 61*z + 5*z**2.
5*(z - 2)*(z + 3)
Let j = -15 + 11. Let a be (-28)/49*14/j. Let -20*h - 3*h**3 - 4*h**a + 32*h - 14*h + h**3 = 0. Calculate h.
-1, 0
Let g(v) be the third derivative of -1/12*v**5 - 10*v**3 - 32*v**2 + 0 + 5/3*v**4 + 0*v. Suppose g(a) = 0. Calculate a.
2, 6
Suppose -24*u = -21*u - 711. Let j = u - 235. Suppose 4/21 + 2/3*o**j + 6/7*o = 0. What is o?
-1, -2/7
Let z = -85/3 - -29. Let t = -661633 + 1984907/3. Let 2*s - t + z*s**2 = 0. Calculate s.
-4, 1
Let j(l) = 739*l + 157. Let i be j(-13). Let z be 420/i*((-40)/(-2))/(-2). Factor -z*b**3 + 0 + 4/9*b**5 + 0*b + 4/9*b**2 - 4/9*b**4.
4*b**2*(b - 1)**2*(b + 1)/9
Let v(m) = -62*m**2 + 251*m - 12. Let a be v(4). Let j(b) be the second derivative of 13*b - 1/3*b**3 + a*b**2 + 1/6*b**4 + 0. Factor j(q).
2*q*(q - 1)
Let f(c) be the first derivative of -2/15*c**3 + 45 + 0*c + 1/5*c**2. Factor f(m).
-2*m*(m - 1)/5
Let z be -92*1/(-4) - 2*2. Let d be (34 - 29) + (-2 - z/7). Find v such that -2*v**3 - d*v**4 - 36/7*v**2 - 40/7*v - 16/7 = 0.
-2, -1
Let n = 2853 + -2850. Let o(l) be the third derivative of -1/20*l**6 - 3/20*l**5 + 6*l**2 + 0 + 0*l**n + 0*l + 1/4*l**4. Find g such that o(g) = 0.
-2, 0, 1/2
Let y(t) be the second derivative of -98*t**2 + 23*t + 1/5*t**5 + 42*t**3 + 0 - 5*t**4. Find 