) = 0?
-13, 0, 1/2, 1
Let t(b) be the third derivative of -b**6/180 + 2*b**5/45 + 14*b**2. Solve t(m) = 0 for m.
0, 4
Let c(y) be the third derivative of -y**6/24 - 7*y**5/12 - 35*y**4/12 - 20*y**3/3 + 15*y**2. Determine x, given that c(x) = 0.
-4, -2, -1
Suppose 4 = 4*b + 4*j, -55 = -3*b + 4*j - 38. What is f in 14/3*f**4 + 23/3*f**b + f**5 + 0 + 4/3*f + 16/3*f**2 = 0?
-2, -1, -2/3, 0
Let j = 23 - -10. Factor 5*f**3 + 5*f**2 - j*f + 33*f.
5*f**2*(f + 1)
Determine o so that 0 - 6/5*o + 2/5*o**3 - 4/5*o**2 = 0.
-1, 0, 3
Find y, given that -1971/2*y**3 - 1/2*y**5 - 18468*y - 13635/2*y**2 - 17496 - 81/2*y**4 = 0.
-36, -3
Let n(k) be the second derivative of -k**7/168 + k**5/40 - k**3/24 - k - 128. Factor n(z).
-z*(z - 1)**2*(z + 1)**2/4
Solve -75 + 5/2*l**3 + 19/2*l**2 - 1/2*l**4 - 65/2*l = 0.
-3, -2, 5
Suppose -2*y - 18 - 16 = 0. Let x = y + 22. What is j in -7*j**2 - j**5 - 27 - x*j**4 - 2*j + 27 - 5*j**3 - 4*j**3 = 0?
-2, -1, 0
Suppose 3*q = -3*a + 4*q + 266, -4*a + 4*q = -352. Suppose 3*h - a = 22. Suppose 3*i**5 + h*i**3 - 31*i**3 - 3 - 9*i**4 + 3 = 0. Calculate i.
0, 1, 2
Let w(s) = -3*s**5 - 5*s**4 - 31*s**3 - 58*s**2 - 35*s - 13. Let a(p) = 2*p**5 + 3*p**4 + 16*p**3 + 30*p**2 + 18*p + 7. Let m(h) = 7*a(h) + 4*w(h). Factor m(j).
(j - 3)*(j + 1)**3*(2*j + 1)
Let y(q) = -15*q**3 - 118*q**2 - 181*q - 74. Let i(m) = -3*m**2 - m + 1. Let u(z) = 4*i(z) + y(z). Suppose u(o) = 0. Calculate o.
-7, -1, -2/3
Let d(g) be the first derivative of -1/10*g**4 - 6/5*g**2 - 14/15*g**3 + 43 + 0*g. Let d(m) = 0. What is m?
-6, -1, 0
Let w(t) = 49*t - 2218. Let c be w(46). Factor c*k + 6*k**2 + 72 + 1/3*k**3.
(k + 6)**3/3
Suppose 36*r = 24*r - 74*r. Let j(c) be the first derivative of -8 - 2/3*c + r*c**2 + 2/9*c**3. Factor j(s).
2*(s - 1)*(s + 1)/3
Let s(k) be the second derivative of k**7/168 + k**6/60 - 11*k**5/80 - k**4/4 + 3*k**3/2 + 2*k - 4. Factor s(u).
u*(u - 2)**2*(u + 3)**2/4
Let s(w) = -w**2 - 5*w + 8. Let x = 10 - 16. Let m be s(x). Factor 4*q**2 + 0*q**m - 3*q**2 - 4*q**2.
-3*q**2
Let y(w) be the third derivative of w**5/90 - 2*w**4/3 - 52*w**3/9 + 3*w**2 - 32. Find a such that y(a) = 0.
-2, 26
Let s be 2 + 2 + (0 - 0). Suppose 0 = -2*o + s*v - 4, -o - 4*v + 4 = -6. Factor -z - o*z + 2*z + z**2.
z*(z - 1)
Factor -3*d - 4371*d**2 + 4427*d**2 + 63*d - 4*d**3.
-4*d*(d - 15)*(d + 1)
Let n(k) = 6*k**2 - 4*k + 2. Let l(i) = -5 + 2 + 2 + 0. Let o(c) = 4*l(c) + n(c). Suppose o(p) = 0. Calculate p.
-1/3, 1
Let x(g) be the first derivative of g**3/3 - 5*g**2/2 + 6*g + 1. Let h be x(4). Factor h*q - q**3 - q + 0 + 0.
-q*(q - 1)*(q + 1)
Let g(t) = 392*t**2 + 685*t + 301. Let u(h) = 196*h**2 + 342*h + 150. Let z(o) = 6*g(o) - 13*u(o). Solve z(v) = 0 for v.
-6/7
Let u = -64 - -24. Let c be (-26)/(-104) + -2*(-1)/u. Solve c*q**5 - 1/5*q**3 + 0 - 1/5*q**2 + 1/5*q**4 + 0*q = 0.
-1, 0, 1
Suppose 3*b - 36 = -9*b. Suppose -f**b - 2*f + 122*f**2 - 2*f - 118*f**2 = 0. Calculate f.
0, 2
Let u(r) be the third derivative of -r**7/210 + 7*r**6/40 - 33*r**5/20 - 121*r**4/24 + 3*r**2. Factor u(g).
-g*(g - 11)**2*(g + 1)
Let i = -57 - -37. Let j(n) = -25*n**3 + 35*n**2 - 175*n + 145. Let c(r) = r**3 + r**2 - 1. Let w(o) = i*c(o) - j(o). Let w(g) = 0. What is g?
1, 5
Let g(t) = 4*t**3 - 58*t**2 - 3*t. Let m(u) = 46*u**3 - 636*u**2 - 34*u. Let s(w) = 68*g(w) - 6*m(w). Find x such that s(x) = 0.
-32, 0
Let a(t) = 3*t**4 + 12*t**3 - 85*t**2 - 198*t + 600. Let x(v) = 3*v**4 + 12*v**3 - 84*v**2 - 201*v + 600. Let r(p) = 3*a(p) - 4*x(p). Let r(m) = 0. Calculate m.
-5, 2, 4
Let k(c) be the first derivative of 2*c**5/25 + c**4/2 - 34*c**3/15 - 21*c**2/5 + 289. Let k(d) = 0. What is d?
-7, -1, 0, 3
Let i(p) = -3*p + 13. Let k be i(3). Let c(s) be the second derivative of 1/4*s**3 - 5*s - 9/8*s**2 - 1/48*s**k + 0. Suppose c(h) = 0. Calculate h.
3
What is z in -10/3*z + 4/3*z**4 + 19/6*z**3 - 8/3 + 4/3*z**2 + 1/6*z**5 = 0?
-4, -2, -1, 1
Let u(p) be the third derivative of p**6/72 + 13*p**5/12 + 845*p**4/24 + 6*p**3 + 15*p**2. Let l(y) be the first derivative of u(y). Factor l(a).
5*(a + 13)**2
Let i(u) be the second derivative of -u**7/420 + u**6/1080 + 3*u**4/4 - 5*u. Let c(x) be the third derivative of i(x). Let c(n) = 0. What is n?
0, 1/9
Let m be (-14)/(-35) - (-1008)/(-2445). Let i = 479/815 - m. Solve -i*x**2 - 2/5*x + x**3 + 0 = 0.
-2/5, 0, 1
Let p be (-2*10/(-24))/(560/252). Factor 1/4 - 1/8*h**4 - 1/8*h**2 - p*h**3 + 3/8*h.
-(h - 1)*(h + 1)**2*(h + 2)/8
Let q = 1355 - 1355. Find o, given that q*o + 0 - 2/3*o**2 - 1/3*o**3 = 0.
-2, 0
Let c(w) be the first derivative of w**4/12 + 7*w**3/9 + 11*w**2/6 + 5*w/3 + 184. Let c(j) = 0. Calculate j.
-5, -1
Let s(i) be the first derivative of -20*i**3/3 + 6*i**2 + 243. Factor s(d).
-4*d*(5*d - 3)
Factor u**4 - 19/4*u - 21/4*u**3 + 33/4*u**2 + 3/4.
(u - 3)*(u - 1)**2*(4*u - 1)/4
Let r(z) = 2*z**3 + 2*z**2 + 259*z - 261. Let l be r(1). Factor 0 + 14/9*a**l + 2/9*a**4 - 10/9*a**3 - 2/3*a.
2*a*(a - 3)*(a - 1)**2/9
Let l be ((-4)/(-16))/((12/(-28))/(-1)). Let x(h) be the first derivative of l*h**2 - 1/3*h - 7/24*h**4 - 5 + 1/9*h**3. Let x(b) = 0. Calculate b.
-1, 2/7, 1
Let o(u) be the third derivative of u**6/480 + 7*u**5/120 - 49*u**4/96 + 17*u**3/12 - u**2 - 177*u. Factor o(m).
(m - 2)*(m - 1)*(m + 17)/4
Let i(c) = -35*c**3 + 50*c + 30. Let v(u) = u**3 - u - 1. Let o(m) = i(m) + 30*v(m). Factor o(s).
-5*s*(s - 2)*(s + 2)
Factor -31*j + 23*j - 15*j**2 + 2*j**3 + j**4 + 11*j**2.
j*(j - 2)*(j + 2)**2
Let g = -153 - -155. Suppose 4*k - 12 = -s, 0 = -2*k - 3*k - 5*s. Factor 0 + 6*n**g - k*n - 2*n**2 + 0.
4*n*(n - 1)
Let j(n) be the first derivative of n**4/2 - 56*n**3/3 - n**2 + 56*n + 180. Find p such that j(p) = 0.
-1, 1, 28
Let s(z) = 47*z + 17. Let i be s(5). Factor -i*y + 36*y**3 - 4*y**4 - 19 - y**4 - 128 - 66*y**2 + 2*y**4.
-3*(y - 7)**2*(y + 1)**2
Suppose 0 = f, -t - t = -5*f + 16. Let r be 0/(-4) - (1 + t). Factor -5*d - 10*d**3 + 22*d**3 - 3*d**2 + 3*d - r*d**4.
-d*(d - 1)**2*(7*d + 2)
Let m(r) = 2*r**4 - 4*r**3 + 9*r**2 - 5*r. Let y(s) = -6*s**4 + 10*s**3 - 26*s**2 + 14*s. Let n(p) = 14*m(p) + 5*y(p). Suppose n(k) = 0. What is k?
-2, -1, 0
Let a = 89 + -87. Factor -5*m**2 - 23*m**2 - 23 - 37 + 80*m + 5*m**3 - 7*m**a.
5*(m - 3)*(m - 2)**2
Let o(b) = -b - 1. Let h(p) be the second derivative of -10*p + 2*p**2 + 0 + 1/6*p**3 - 1/4*p**4. Let i(n) = h(n) + 4*o(n). Factor i(v).
-3*v*(v + 1)
Suppose 2*u - 3*x = 9, 3*u - 8*u + 5*x + 20 = 0. Let k(w) = w**3 + 4*w**2 - 5. Let b be k(1). Factor -2/9*z**4 - 2/3*z**u - 2/3*z**2 + b - 2/9*z.
-2*z*(z + 1)**3/9
Suppose -48*p = -5*p - 344. Let i(k) be the first derivative of -p*k**3 - 9 - 9/4*k**4 - 6*k - 21/2*k**2. Factor i(h).
-3*(h + 1)**2*(3*h + 2)
Let h(d) be the second derivative of 2*d**6/15 - 7*d**5/5 + 6*d**4 - 40*d**3/3 + 16*d**2 + 61*d. Factor h(u).
4*(u - 2)**3*(u - 1)
Factor 1 - 88*x + 84*x**3 - 1 - 32*x**2 - 20*x**2 - 88*x**3.
-4*x*(x + 2)*(x + 11)
Let n(b) be the third derivative of b**6/420 + 2*b**5/105 + b**4/28 - 2*b**2 - 40*b. Determine z, given that n(z) = 0.
-3, -1, 0
Let v(n) = -n**3 + n**2 - 4. Let w(t) = -5*t**3 + 69*t**2 + 1023*t + 937. Let l(i) = 6*v(i) - w(i). Determine d so that l(d) = 0.
-31, -1
Let k be -18 + 33 + -6 - 7. Factor u**3 - 1/2*u + 1/2*u**k + 0.
u*(u + 1)*(2*u - 1)/2
Let b(g) be the third derivative of -4*g**7/105 + 7*g**6/120 + 17*g**5/60 + g**4/12 + 39*g**2 + g. Factor b(s).
-s*(s - 2)*(s + 1)*(8*s + 1)
Let q(d) = -2*d**4 - 2*d**3 + 46*d**2 - 78*d + 38. Let j(k) = -2*k**4 - 2*k**3 + 46*k**2 - 78*k + 39. Let b(n) = -2*j(n) + 3*q(n). Factor b(u).
-2*(u - 3)*(u - 1)**2*(u + 6)
Let b(j) be the first derivative of j**9/1680 - 17*j**8/4200 + j**7/150 + j**6/225 - 3*j**3 + 4. Let d(k) be the third derivative of b(k). Solve d(n) = 0 for n.
-2/9, 0, 2
Factor 120/7*l + 1800/7 + 2/7*l**2.
2*(l + 30)**2/7
Let o = 23/6 + -11/3. Factor 2/3*n + 1/2 + o*n**2.
(n + 1)*(n + 3)/6
Let 689*u**4 - 51*u**3 + 243*u + 67*u**2 - 1374*u**4 + 688*u**4 + 122*u**2 = 0. What is u?
-1, 0, 9
Let p = 85 + -37. Let b be (-136)/(-30) + p/60. Factor -8/3 - 20/3*x - 4/3*x**3 - b*x**2.
-4*(x + 1)**2*(x + 2)/3
Let k(h) = -7*h**3 - h**2 - h - 9. Let r(p) = -p**3 - p - 1. Let g(w) = k(w) - 6*r(w). Suppose g(y) = 0. Calculate y.
-3, 1
Let l(c) be the second derivative of c**7/21 + 2*c**6/3 + 4*c**