7/42 + b**6/8 + b**5/6 + 334*b**2 + b. Find x such that a(x) = 0.
-2, -1, 0
Let m(t) = -2*t**2 + 614*t - 624. Let a(s) = -2*s**2 + 613*s - 626. Let d(n) = -4*a(n) + 5*m(n). Factor d(w).
-2*(w - 308)*(w - 1)
Let i(p) be the first derivative of 6 + 44*p**3 + 8*p + 10*p**5 + 22 + 2*p**3 + 35*p**4 + 28*p**2 + 31. Solve i(o) = 0.
-1, -2/5
Let y(i) = 14*i**2 + 13840*i - 12096484. Let j(d) = 15*d**2 + 13836*d - 12096484. Let o(f) = -18*j(f) + 19*y(f). Solve o(b) = 0 for b.
1739
Let u(r) be the second derivative of 2*r**2 + 29 + r + 1/5*r**5 + r**4 + 2*r**3. Factor u(z).
4*(z + 1)**3
Let d(g) = 6*g**3 + 174*g**2 + 316*g - 40. Let h(s) = -2*s**3 - 58*s**2 - 105*s + 15. Let c(k) = 3*d(k) + 8*h(k). Factor c(t).
2*t*(t + 2)*(t + 27)
Suppose -5*w + 10 = 2*k, 4*w - w - 6 = -3*k. Factor 35*c**4 + 42*c**2 + 68*c**w - 19*c**3 - 50*c**4 + 40*c - 16*c**3.
-5*c*(c - 2)*(c + 4)*(3*c + 1)
What is b in -3465/4 - 291*b - 3/4*b**2 = 0?
-385, -3
Factor 288/23*z**2 - 90/23*z**3 - 2/23*z**4 + 0*z + 0.
-2*z**2*(z - 3)*(z + 48)/23
Suppose -1/3*x**3 + 37/3*x**2 + 0*x + 0 = 0. Calculate x.
0, 37
Let k(b) be the second derivative of -2/15*b**6 + 67/60*b**5 + 0 - 5/14*b**7 + 4/3*b**2 - 14/9*b**3 - 1/18*b**4 - 288*b. What is y in k(y) = 0?
-1, 2/5, 2/3
Let y(z) be the third derivative of -26 + 2*z**2 + 0*z**4 + 0*z + 1/840*z**8 + 0*z**3 - 8/75*z**5 + 1/75*z**7 + 2/75*z**6. Factor y(p).
2*p**2*(p - 1)*(p + 4)**2/5
Suppose -5129 = 52*j - 5129. Let 2/11*w**3 + j*w + 46/11*w**2 + 0 = 0. Calculate w.
-23, 0
Let y(l) be the first derivative of l**4/2 - 524*l**3/3 - 1069*l**2 + 2660*l + 15723. Factor y(p).
2*(p - 266)*(p - 1)*(p + 5)
Let l(c) be the second derivative of -1/2*c**5 - c**3 + 2 + 0*c**2 + 44*c - 11/6*c**4 + 1/5*c**6. Factor l(v).
2*v*(v - 3)*(v + 1)*(3*v + 1)
Let i(s) = -2*s**3 + 82*s**2 - 11*s + 28. Let m be i(40). Factor m - 5178*t**3 + 5183*t**3 - 270*t**2 + 4860*t - 31948.
5*(t - 18)**3
Factor 2*b**3 - 418*b**2 - 4*b**3 + 4874*b**2 - 5598936*b + 1340*b**2 + 1802857392.
-2*(b - 966)**3
Factor 1322*c**2 - 4*c**4 - 792*c + 272*c**3 + 1224*c**2 - 3062*c**2.
-4*c*(c - 66)*(c - 3)*(c + 1)
Suppose -3*f = 6*k - 7*k - 6, 0 = 4*f - 12. Factor -256 + 43*w + 48*w**2 + 10*w**3 - 5*w**k + 2*w**4 + 21*w - 11*w**3 - 14*w**3.
2*(w - 4)**3*(w + 2)
Let v(a) be the first derivative of a**3/15 + 397*a**2/10 + 1267. Factor v(d).
d*(d + 397)/5
Suppose -197*u = -740831 + 740437. Factor -12/7*j**u - 18/7 + 3/7*j**3 - 33/7*j.
3*(j - 6)*(j + 1)**2/7
Suppose -3*o = 8*o - 297. Let q be ((-10)/15)/((-6)/o). Let 9*p**4 - 9*p**q + 5*p**2 + 0*p**5 - 2*p**2 - 3*p**5 = 0. Calculate p.
0, 1
Solve -1/3*s**4 + 220/3*s + 100 - 2*s**3 + 9*s**2 = 0 for s.
-5, -2, 6
Suppose -11*i = -40*i + 87. Let y(x) be the third derivative of 9/8*x**4 + 1/10*x**6 + 3/5*x**5 + 0*x + x**i + 5*x**2 + 0. Factor y(m).
3*(m + 2)*(2*m + 1)**2
Let v(r) be the first derivative of -3*r**5/5 - 138*r**4 - 183*r**3 - 472. Factor v(m).
-3*m**2*(m + 1)*(m + 183)
Let c(g) be the first derivative of -34/3*g**3 + 4*g**2 - 59 + 31/4*g**4 + 2*g**5 + 0*g. Factor c(q).
q*(q + 4)*(2*q - 1)*(5*q - 2)
Suppose -2*b = -l + 19, -b - 4*l + 0 + 4 = 0. Let k(g) = -25*g**2 + 25. Let j(m) = -9*m**2 + 9. Let v(n) = b*j(n) + 3*k(n). Determine t, given that v(t) = 0.
-1, 1
Let h(q) = 5*q**2 - 34*q + 1 - 6 + 2 - 2 + 2. Let b be h(7). Factor 0 - 21/5*j**3 - 9/5*j**5 + 6/5*j**2 + 0*j + 24/5*j**b.
-3*j**2*(j - 1)**2*(3*j - 2)/5
Let n be (-2)/2*182/(-14). Suppose n - 148 = -3*x. Factor 73*l + 116*l - x*l + 48*l**2 - l**3 + 5*l**3.
4*l*(l + 6)**2
Let r(z) be the first derivative of -21316*z**3/9 + 438*z**2 - 27*z + 5417. Factor r(s).
-(146*s - 9)**2/3
Let w(s) be the third derivative of s**8/20160 - s**7/720 + s**6/72 - 67*s**5/60 + 54*s**2. Let y(a) be the third derivative of w(a). Let y(k) = 0. What is k?
2, 5
Let x(h) be the third derivative of h**6/540 + 107*h**5/135 - 215*h**4/108 + 3*h**2 - 2511. Factor x(r).
2*r*(r - 1)*(r + 215)/9
Let t(g) be the first derivative of 5/4*g**2 - 7/6*g**3 + 18 + g. Solve t(l) = 0 for l.
-2/7, 1
Let w(x) = x**3 - x + 2. Let d(h) = -2*h**2 - 16*h - 26. Let n be d(-7). Let q(k) = 15*k**3 - 9*k**2 - 15*k + 33. Let v(i) = n*w(i) + q(i). Factor v(l).
3*(l - 3)*(l - 1)*(l + 1)
Factor 1/10*l**4 - 51/10 + 6/5*l**3 - 39/5*l**2 + 58/5*l.
(l - 3)*(l - 1)**2*(l + 17)/10
Let -2/9*w**5 + 0 - 230/9*w**4 + 104*w + 482/9*w**3 + 1646/9*w**2 = 0. What is w?
-117, -1, 0, 4
Let c(y) = y**2 + y - 1. Let f be c(-2). Let t be (f/(-1))/((-1)/3). Factor 2*n - 96*n**2 + 95*n**2 - n**t + 1 + 0 - n.
-(n - 1)*(n + 1)**2
Suppose 15*b + 20 = 5*b. Let h be (b/(-4) + 0/(-1))*6. Solve 4/17*w**2 - 2/17*w - 4/17 + 2/17*w**h = 0.
-2, -1, 1
Factor 843*t + 3*t**2 - 387 + 3*t**3 - 291*t**2 + 145 - 184 - 132.
3*(t - 93)*(t - 2)*(t - 1)
Let z = -86659/5 - -17332. Solve 1/5*s**3 - z*s + 0*s**2 + 0 = 0 for s.
-1, 0, 1
Let h = 967/2196 + 1/244. Let o(l) be the first derivative of 8 + 8/9*l + h*l**2 - 2/9*l**3. Factor o(u).
-2*(u - 2)*(3*u + 2)/9
Let c(a) be the second derivative of -a**5/80 - a**4/16 - a**3/8 + 7*a**2 + 2*a + 11. Let i(u) be the first derivative of c(u). Solve i(n) = 0 for n.
-1
Suppose 6*l + 317 = 341. Let t(x) be the third derivative of 0 + 1/270*x**6 - 21*x**2 + 0*x**3 + 0*x**5 + 0*x**l + 0*x - 1/135*x**7. Factor t(h).
-2*h**3*(7*h - 2)/9
Let a(c) be the second derivative of c**7/33 - 32*c**6/55 + 14*c**5/11 + 353*c**4/33 + 191*c**3/11 + 10*c**2 - c - 495. What is v in a(v) = 0?
-1, -2/7, 5, 11
Factor -2/7*y**3 - 30/7*y + 0 - 16/7*y**2.
-2*y*(y + 3)*(y + 5)/7
Let p(h) be the second derivative of h**5/4 + 43*h**4/12 + 4*h**3 - 15*h + 65. Let p(s) = 0. What is s?
-8, -3/5, 0
Let n(w) be the first derivative of w**5 + 355*w**4/4 + 6475*w**3/3 + 6125*w**2/2 - 625. What is a in n(a) = 0?
-35, -1, 0
Let d(f) be the first derivative of -f**5/12 + 15*f**4/8 + 30*f**3 - 109*f**2/2 - 84. Let h(p) be the second derivative of d(p). Factor h(o).
-5*(o - 12)*(o + 3)
Determine f so that 0 - f**5 + 369/4*f**3 - 53/4*f - 205/4*f**4 - 107/4*f**2 = 0.
-53, -1/4, 0, 1
Suppose 6*z + 3405 = -3. Let c = z + 570. Let 3/2*w**3 + 0*w**c - 3/2*w + 3/4 - 3/4*w**4 = 0. What is w?
-1, 1
Let u(v) be the first derivative of -v**5 - 125*v**4/2 - 1380*v**3 - 11340*v**2 + 9487. What is d in u(d) = 0?
-18, -14, 0
Let i(s) = 5*s - 83. Let f be i(20). Suppose -t = 21*t + f*t. Solve 0 + 2/7*h**4 + 2/21*h**5 + t*h**3 + 0*h - 8/21*h**2 = 0.
-2, 0, 1
Factor -16*x**2 + 0*x + 0 - 2/3*x**4 - 28/3*x**3.
-2*x**2*(x + 2)*(x + 12)/3
Suppose -62*o = -66*o - 20. Let p(f) = 5*f**2 - 2*f + 6. Let a(w) = 4*w**2 - 2*w + 5. Let l(c) = o*p(c) + 6*a(c). Factor l(k).
-k*(k + 2)
Let y(h) be the first derivative of -3*h**5/20 + 69*h**4/16 + 26*h**3 + 81*h**2/2 + 3079. Let y(a) = 0. Calculate a.
-2, 0, 27
Let l be 5/((-75)/9) - (-3901)/3735. What is b in -4/3 - 16/9*b - l*b**2 = 0?
-3, -1
Let a = -1683 - -1750. Suppose 234 - 33 = a*d. Factor 3/2*j**2 + d*j + 0.
3*j*(j + 2)/2
Factor 123/8*g - 3/8*g**2 + 129/4.
-3*(g - 43)*(g + 2)/8
Let v(a) be the first derivative of -a**5/5 + 5*a**4/12 + 10*a**3/9 - 10*a**2/3 + 8*a/3 - 1468. Let v(g) = 0. What is g?
-2, 2/3, 1, 2
Let w(s) = 6*s**2 + 222*s - 9. Let l be w(-37). Let t be 6/l*(290/50 - 7). Factor t*x**2 - 24/5 - 4/5*x.
4*(x - 3)*(x + 2)/5
Let z(m) be the second derivative of m**6/480 - 3*m**5/16 + 225*m**4/32 - 67*m**3/6 - 20*m + 3. Let g(u) be the second derivative of z(u). Solve g(s) = 0 for s.
15
Let w = -13157261/7 + 1881577. Factor -332/7*p + 2/7*p**2 + w.
2*(p - 83)**2/7
Let y(f) be the third derivative of f**8/84 - 22*f**7/105 + 11*f**6/10 - 37*f**5/15 + 7*f**4/3 + 1739*f**2. Factor y(p).
4*p*(p - 7)*(p - 2)*(p - 1)**2
Let c(t) be the second derivative of -3*t**6/40 + 1803*t**5/40 - 358789*t**4/48 - 40267*t**3/2 - 40401*t**2/2 + 568*t - 2. Factor c(y).
-(y - 201)**2*(3*y + 2)**2/4
Suppose 2*o = 3*p - 34, 128*o = 132*o + 44. What is s in 0*s + s**2 - 1/4*s**p + 0 + 0*s**3 = 0?
-2, 0, 2
Suppose 5*t + 384*x - 62 = 378*x, 5*x = 5*t + 15. Suppose -10/9*m**2 + 0*m + 1/9*m**t + 0 - m**3 = 0. What is m?
-1, 0, 10
Let b(w) = -3*w**4 + w**3 - 2*w - 2. Let r(u) = -12*u**4 + 24*u**4 + u**3 - 11*u**4 + 1 - u. Let o(i) = -b(i) - 2*r(i). Let o(h) = 0. Calculate h.
-1, 0, 2
Let c(k) be the first derivative of -k**4/22 - 18*k**3/11 - 243*k**2/11 + 100*k - 119. Let y(l) b