?
-1, -1/3, 1/4, 2, 3
Let z(i) be the third derivative of -i**6/360 + 31*i**5/15 - 3885*i**4/8 + 34225*i**3/9 + 2*i**2 - 1212. Let z(b) = 0. Calculate b.
2, 185
Let y be -9 + 25 - 4*1. Suppose -5*b + 8 = -y. Factor -g**3 - 8*g**2 + g**b + 9*g**2 - g**3.
g**2*(g - 1)**2
Let t = -1146 - -1148. Let q be 3/((1 - -1) + -1). Determine d, given that -2 - q*d**2 + 11*d**2 - 9*d**t + 3*d = 0.
1, 2
Let p(m) be the second derivative of -21*m - 2 + 0*m**2 + 0*m**3 - 5/12*m**4 + 1/4*m**5. Let p(x) = 0. Calculate x.
0, 1
Let v(j) = -j**2 + 61*j + 2. Let q(n) = -7*n**2 + 477*n + 734. Let z(d) = q(d) - 2*v(d). Determine b, given that z(b) = 0.
-2, 73
Suppose 119 = 31*p + 119. Let a(x) be the third derivative of 0*x**3 + 1/60*x**5 + 0*x - 4*x**2 - 1/120*x**6 + p*x**4 + 0. Factor a(f).
-f**2*(f - 1)
Let p(u) = 20*u**3 + 170*u**2 + 568*u + 418. Let o(d) = -11*d**3 - 84*d**2 - 283*d - 210. Let h(g) = 11*o(g) + 6*p(g). Factor h(k).
-(k - 99)*(k + 1)*(k + 2)
Let j(a) be the first derivative of a**6/3060 - a**5/255 + a**4/68 + 19*a**3/3 - 25. Let s(d) be the third derivative of j(d). Let s(y) = 0. Calculate y.
1, 3
Let u = -14 + 41. Suppose 3*y = -21 + u. Factor -3*k - 34*k**y - 4 + 30*k**2 - 5*k.
-4*(k + 1)**2
Let h be 2 + -14 + 31 - 19. Factor 12/7*o + 2/7*o**2 - 2/7*o**3 + h.
-2*o*(o - 3)*(o + 2)/7
Let i(s) be the third derivative of -s**6/840 + s**4/56 - 149*s**3/3 - 94*s**2. Let y(h) be the first derivative of i(h). Factor y(v).
-3*(v - 1)*(v + 1)/7
Let o(l) be the third derivative of -13*l**5/50 + 47*l**4/8 - 9*l**3/10 - 2775*l**2. Suppose o(m) = 0. Calculate m.
1/26, 9
Let a(w) be the first derivative of w**4/2 - 70*w**3/3 + 58*w**2 + 528*w + 7918. Factor a(k).
2*(k - 33)*(k - 4)*(k + 2)
Factor -81*m + 7*m**2 + m**4 + 2 + 32 - 70 - 7*m**3 - 60*m**2.
(m - 12)*(m + 1)**2*(m + 3)
Suppose -15*c = c + 16. Let k(b) = 4*b**2 - 28*b - 24. Let y(p) = p**2 + p - 2. Let g(x) = c*k(x) + 24*y(x). Factor g(t).
4*(t + 3)*(5*t - 2)
Let t be (789/8679)/(10/44). Let t*g + 2/5*g**2 - 4/5 = 0. Calculate g.
-2, 1
Suppose -1725 = 9*a - 4*a. Let s = -345 - a. Find d such that -1/5*d**3 + 1/5*d**5 + 0*d**2 + 0*d + s + 0*d**4 = 0.
-1, 0, 1
Let p be ((-1391)/(-25038))/(2/6). Solve -p*z**3 + 0 + 1/6*z**2 + z = 0 for z.
-2, 0, 3
Factor 9*m**4 + 7*m**5 + 13*m**4 + 6*m**3 + 10*m**3 - 5*m**5 - 100*m**3.
2*m**3*(m - 3)*(m + 14)
Let j = -742590 - -3712959/5. Determine a, given that -16/5*a**5 + 0 + 24/5*a**4 - j*a**3 + 0*a**2 + 0*a = 0.
0, 3/4
Let v(m) be the first derivative of -3*m + 3/4*m**3 + 74 - 3/16*m**4 + 0*m**2. Determine w so that v(w) = 0.
-1, 2
Let s(h) = 7*h**3 - 407*h**2 - 837*h - 417. Let i(y) = 36*y**3 - 2036*y**2 - 4191*y - 2086. Let v(w) = -2*i(w) + 11*s(w). Factor v(t).
5*(t - 83)*(t + 1)**2
Let p(x) be the third derivative of -x**5/40 - 7*x**4/8 - 45*x**3/4 + 3*x**2 + 297*x. Factor p(s).
-3*(s + 5)*(s + 9)/2
Factor 167*b + 702 + 111*b + 257*b - 3*b**2 + 164*b.
-3*(b - 234)*(b + 1)
Let c(b) be the first derivative of -11*b**6/21 + 30*b**5/7 - 173*b**4/14 + 102*b**3/7 - 32*b**2/7 - 24*b/7 + 6695. Let c(g) = 0. Calculate g.
-2/11, 1, 2, 3
Let h = 29351/2 - 14674. Factor -6*f**2 - 1/2*f**4 - h + 5*f + 3*f**3.
-(f - 3)*(f - 1)**3/2
Suppose 75/7*f**3 - 507/7*f - 429/7*f**2 + 0 - 3/7*f**4 = 0. What is f?
-1, 0, 13
Let a(r) be the first derivative of r**3/5 + 51*r**2/5 + 1585. Factor a(t).
3*t*(t + 34)/5
Let l(z) be the second derivative of -z**5/4 + 65*z**4/12 + 35*z**3/3 + 38*z - 59. Factor l(s).
-5*s*(s - 14)*(s + 1)
Let q(a) = -a**3 - 2*a**2 + 252*a + 751. Let b be q(-3). Solve 14/3*t**b - 48*t**2 + 40/3*t**3 - 144*t + 1/3*t**5 + 288 = 0 for t.
-6, 2
Factor 7/2*o**3 + 0 - 9/4*o**2 + 0*o - 5/4*o**4.
-o**2*(o - 1)*(5*o - 9)/4
Let b = 537841/3 - 179279. Find m such that -32/3*m - b*m**3 + 64/3 - 28/3*m**2 = 0.
-4, 1
Let r = 177 + -177. Let i(m) be the third derivative of 0 + 1/20*m**5 + 0*m - 4*m**2 + r*m**3 - 1/4*m**4. Factor i(c).
3*c*(c - 2)
Suppose -5*i - 25 = 0, -11 = 5*k + 5*i - 1. Let f(y) = -8 + y**2 + 3 + 11 - y - 8*y**2 - k*y**3. Let v(p) = -p**2. Let q(a) = -f(a) - 3*v(a). Factor q(h).
(h + 1)*(h + 3)*(3*h - 2)
Let f(a) be the second derivative of a**5/110 + a**4/33 - 8*a**3/33 + 206*a - 4. Factor f(o).
2*o*(o - 2)*(o + 4)/11
Let d(c) be the second derivative of c**7/8820 + 13*c**6/630 + 169*c**5/105 - 3*c**4/2 - 3*c + 7. Let m(x) be the third derivative of d(x). Factor m(r).
2*(r + 26)**2/7
Factor 864/7 - 2/7*j**2 + 208/7*j.
-2*(j - 108)*(j + 4)/7
Factor 36*r - 2 + 13*r**2 + 135*r**3 - 132*r**3 - 3*r**5 - 46*r**2 + 9*r**4 - 10.
-3*(r - 2)*(r - 1)**3*(r + 2)
Suppose -19*h + 40*h = 84. Suppose 0 = 3*x - 5*x + h*k - 4, 3*k = -3*x + 12. Find l such that 3/4*l**x - 3*l - 15/4 = 0.
-1, 5
Let y be (-4 + (8 - 13))*(-90)/270. Let -3*b**2 + 5/2*b**y + 1/4*b**4 + 11/4 - 5/2*b = 0. What is b?
-11, -1, 1
Let w be 4/6 + -1 + 26494/76425. Let l(v) be the second derivative of 2/25*v**5 + 2/15*v**4 + 0 - 34*v + w*v**6 + 0*v**2 + 0*v**3. Factor l(r).
2*r**2*(r + 2)**2/5
Let v be (((-275)/(-10))/(-11))/((-20)/24). Let z = 622 - 1846/3. Let 4*c**2 + 0 - 8/3*c - z*c**5 + 28/3*c**v - 4*c**4 = 0. What is c?
-1, 0, 2/5, 1
Let k be (0 + -1 - 6)/((-13)/39). Factor -48*m - 29 + 15 + 4*m**2 + k + 37.
4*(m - 11)*(m - 1)
Let r = 84354 - 84352. Factor 24/5*t - 3/5*t**3 - 3/5*t**r + 36/5.
-3*(t - 3)*(t + 2)**2/5
Let n(b) be the first derivative of 5*b**6/6 - 13*b**5 + 205*b**4/4 - 235*b**3/3 + 45*b**2 + 72. Factor n(o).
5*o*(o - 9)*(o - 2)*(o - 1)**2
Let d(n) be the second derivative of -n**5/330 - 19*n**4/66 - 361*n**3/33 + 2*n**2 - 48*n. Let k(l) be the first derivative of d(l). Factor k(s).
-2*(s + 19)**2/11
Determine b so that -2/11 + 2/11*b**2 + 0*b = 0.
-1, 1
Let r(s) be the second derivative of 0*s**2 + 5/3*s**5 - 14/3*s**4 + 2*s**3 + 2 - 19*s - 8/45*s**6. Find q such that r(q) = 0.
0, 1/4, 3
Determine d so that 2277*d**3 - 54*d**5 - 450*d**4 + 168*d**5 - 59*d**5 + 7848*d**3 - 50*d**5 = 0.
0, 45
Let l(s) be the third derivative of -s**8/168 - 43*s**7/35 - 273*s**6/4 + 845*s**5/6 + s**2 - 51. Let l(r) = 0. Calculate r.
-65, 0, 1
Suppose -4*h + 113 + 39 = -4*z, -5*z + 90 = 3*h. Let d = h - 30. Suppose r**2 + 2*r**3 - 4*r**3 - 5*r**2 - 10*r**3 + 16*r**d = 0. What is r?
-1/2, 0, 1
Let g(f) = 5*f**4 - 175*f**3 + 2155*f**2 - 6185*f + 4320. Let n(r) = -r**3 - r**2 - 7*r + 1. Let b(u) = -g(u) - 15*n(u). Factor b(v).
-5*(v - 17)**2*(v - 3)*(v - 1)
Suppose 10036 + 2716 = -66*v + 476*v - 2008. Factor -10800 - v*i**2 + 1080*i + 2/5*i**3.
2*(i - 30)**3/5
Let f(g) = 3*g**2 - 171*g - 159. Let o(c) = -2*c**2 + c - 12. Let r(a) = -4*f(a) - 4*o(a). Factor r(t).
-4*(t - 171)*(t + 1)
Let b(v) be the second derivative of -v**6/60 - v**5/45 - 31*v**2/2 - 146*v. Let a(n) be the first derivative of b(n). Let a(r) = 0. Calculate r.
-2/3, 0
What is a in 276/11 - 58/11*a + 2/11*a**2 = 0?
6, 23
Let o(k) be the second derivative of -1/16*k**5 + 0 - 86*k + 5/8*k**3 + 0*k**2 - 5/24*k**4. What is i in o(i) = 0?
-3, 0, 1
Let r(t) = 2*t**2 + t + 2. Let o(a) = -9*a**2 - 3*a - 9. Let z(m) = -59*m + 6. Let j be z(1). Let y = 74 + j. Let d(v) = y*r(v) + 5*o(v). Factor d(c).
-3*(c - 1)**2
Let h(o) = 8*o + 0*o + 0*o**2 + 0*o - 10 - o**2. Let n be h(6). Let -20*g + 35*g**2 + 18 - 18*g**2 - 15*g**n = 0. Calculate g.
1, 9
Suppose -38*g**3 - 41*g**3 - 146*g**3 + 2232132*g**2 - 15*g**4 + 5*g**5 - 2232537*g**2 = 0. Calculate g.
-3, 0, 9
Let h = 85 - 79. Suppose 8*m - h*m = 6. Factor -m*g**2 + 46*g**3 + 6*g**2 - 43*g**3.
3*g**2*(g + 1)
Factor -4/5*g**3 + 12*g**2 + 0*g + 0.
-4*g**2*(g - 15)/5
Let u(r) be the first derivative of -r**3/5 + 183*r**2/5 - 363*r/5 + 13. Determine l, given that u(l) = 0.
1, 121
Let c(j) be the third derivative of 37 + j**2 + 0*j - 50/3*j**3 + 5/24*j**4 + 1/12*j**5. Factor c(i).
5*(i - 4)*(i + 5)
Solve 40 - 64/3*f + 13/6*f**2 + 1/6*f**3 = 0.
-20, 3, 4
Find q such that 5/3*q**3 - 1/3*q**4 + 56/3*q**2 + 0 - 20*q = 0.
-6, 0, 1, 10
Let l be ((-225)/200)/(16/((-128)/12)). Find c such that 1/4*c**3 - 1/4*c**5 - 1 + 7/4*c**2 + 0*c - l*c**4 = 0.
-2, -1, 1
Let p(c) be the second derivative of c**7/42 + c**6/30 - c**5/5 - c**4/3 + 9259*c. Factor p(d).
d**2*(d - 2)*(d + 1)*(d + 2)
Let u = -90872 - -90874. Determine m so that 0 + 0*m - 1/6*m**u = 0.
0
Let u(s) be the third derivative of -s**8/20160 - s**7/11760 + s**6/1