0, 1/3, 4
Let n(g) be the first derivative of -5*g**4/24 + 1273*g**3/18 - 190*g**2/3 - 254*g/3 + 1013. Find d, given that n(d) = 0.
-2/5, 1, 254
Let f(p) be the third derivative of -p**6/24 - p**5/4 + 85*p**4/3 - 210*p**3 + p**2 - p - 47. Suppose f(v) = 0. What is v?
-14, 2, 9
Let z(w) = w**2 + 1. Let u(n) = -28*n**2 + 8*n - 28. Suppose 48 = 9*t + 264. Let y be 4/2*2/(-4). Let g(c) = t*z(c) + y*u(c). What is v in g(v) = 0?
1
Let j(f) be the third derivative of f**6/720 + f**5/20 + 2*f**4/3 - f**3/6 + 42*f**2 + f. Let s(a) be the first derivative of j(a). Factor s(h).
(h + 4)*(h + 8)/2
Let x be (-739)/(-24387) + 65/33. Factor -34/7*l - 6/7*l**x + 12/7.
-2*(l + 6)*(3*l - 1)/7
Let w be 1/(-3)*5922/(-4242). Let u = w + 7/202. Factor u*d**2 + 0 + 2*d.
d*(d + 4)/2
Let z(t) = t**3 - 22*t**2 - 3*t + 1. Let s be z(0). Let i(f) be the first derivative of -s + 3*f**2 - 4*f - 2/3*f**3. Let i(v) = 0. What is v?
1, 2
Let w(x) = -581*x - 26143. Let t be w(-45). Factor 8*q**4 + 100 + 1/2*q**5 + 139*q**t + 190*q + 97/2*q**3.
(q + 2)**3*(q + 5)**2/2
Let c(s) be the first derivative of s**3/9 + 4*s**2/3 + 7*s/3 + 3122. Let c(k) = 0. What is k?
-7, -1
Let k(x) be the third derivative of x**9/151200 + x**8/6300 + 47*x**5/12 + 190*x**2. Let l(p) be the third derivative of k(p). Suppose l(a) = 0. What is a?
-8, 0
Let y(q) be the second derivative of -2*q**6/9 - 11*q**5/5 - 46*q**4/9 + 16*q**3/3 - q + 960. Let y(j) = 0. Calculate j.
-4, -3, 0, 2/5
Let s(r) = -10225*r + 112477. Let q be s(11). Factor -11/5*o + 1/5*o**q + 0.
o*(o - 11)/5
Let s be (-37888)/(-42) - -7*(-32)/2352. Let k = 5413/6 - s. Find a, given that -1/3*a**2 + 1/6*a**4 + 0*a**3 + k + 0*a = 0.
-1, 1
Let s(q) be the second derivative of q**7/189 - 11*q**6/135 + 13*q**5/45 - 8*q**4/27 + 1742*q. Suppose s(c) = 0. Calculate c.
0, 1, 2, 8
Factor -8/7*u**3 + 30/7*u**2 - 2/7*u**4 + 36/7*u + 0.
-2*u*(u - 3)*(u + 1)*(u + 6)/7
Let l be (-285)/267 + (14 - 13). Let o = 59/445 - l. Solve -1/5*h**3 - 1/5*h**2 + 1/5 + o*h = 0 for h.
-1, 1
Let m be 0/(((-4)/16*-1)/((-161)/(-644))). Determine u so that -1/2*u**3 + 1/2*u + m*u**2 - 1/4 + 1/4*u**4 = 0.
-1, 1
Let p(g) = g**4 - 15*g**3 + 8*g**2 - 36*g - 66. Let j(c) = -3*c**4 + 41*c**3 - 25*c**2 + 108*c + 199. Let m(q) = 6*j(q) + 17*p(q). Solve m(l) = 0.
-6, -3, -2, 2
Factor 1/2*u**2 + 163/2*u + 0.
u*(u + 163)/2
Let p = -362 + 366. Let k be p/(-7) - 276/(-91). Determine o so that -k - 2/13*o**2 + 16/13*o = 0.
4
Let j(o) be the second derivative of -5/12*o**4 + 2*o - 10/3*o**3 + 0 - 10*o**2. Factor j(w).
-5*(w + 2)**2
Let -1/11*t**4 + 117/11*t**2 - 196/11*t + 100/11 - 20/11*t**3 = 0. What is t?
-25, 1, 2
Let a(k) be the third derivative of -137*k**2 + 4/105*k**5 + 0 + 2/735*k**7 + 0*k + 0*k**4 + 2/105*k**6 + 0*k**3. Solve a(x) = 0.
-2, 0
Factor 312/5*z + 2/5*z**2 - 954/5.
2*(z - 3)*(z + 159)/5
Let s(a) be the first derivative of -a**4/12 - 38*a**3/3 - 74*a**2 - 440*a/3 - 1703. Let s(b) = 0. What is b?
-110, -2
Let d be 22 - 43/((-946)/(-440)). Let m(t) be the third derivative of -10*t**d + 0*t**3 - 1/300*t**6 + 0 + 0*t + 1/10*t**4 + 1/150*t**5. Factor m(c).
-2*c*(c - 3)*(c + 2)/5
Factor -98/3*w - 276 + 8/3*w**2.
2*(w - 18)*(4*w + 23)/3
Let d(x) = 24*x**3 + 320*x**2 + 520*x + 200. Let s(v) = -2*v**3 - 2*v. Let c(z) = d(z) + 6*s(z). Determine w, given that c(w) = 0.
-25, -1, -2/3
Let a(z) be the second derivative of -23*z**4/12 + 113*z**3/6 - 72*z**2 + 37*z. Let j(f) = -12*f**2 + 56*f - 72. Let u(g) = -4*a(g) + 7*j(g). Factor u(r).
4*(r - 6)*(2*r - 3)
Let 1/2*r**4 + 9/2 + 5*r**3 - 9/2*r - 1/2*r**5 - 5*r**2 = 0. What is r?
-3, -1, 1, 3
Factor -144*m**3 + 23 + 287*m + 170*m**3 + 394*m**2 - 81*m**2 + 13 + 661*m.
(m + 6)**2*(26*m + 1)
Let o(d) = -2*d**2 + 75*d + 60. Let y(k) = -25840 - 5*k - 7*k + k**2 + 25820 - 13*k. Let p = -3 + 20. Let t(g) = p*y(g) + 6*o(g). Factor t(b).
5*(b + 1)*(b + 4)
Let c(a) = -2*a**2 + 4. Let s be c(0). Suppose -4*w - 2*u = -7*u - 77, 4*w - 67 = -5*u. Factor 4*d**3 + w*d**2 - s*d**4 + 0*d**4 - 10*d**2.
-4*d**2*(d - 2)*(d + 1)
Suppose -u - 14 = c, -5222*c - 305 = -4*u - 5207*c. Factor -1/4*m**3 + 3/4*m**2 + 0*m + 1/4*m**u - 3/4*m**4 + 0.
m**2*(m - 3)*(m - 1)*(m + 1)/4
Let p = 1927597 + -1927597. Solve -1/4*v**3 + p - v + 5/4*v**2 = 0 for v.
0, 1, 4
Let u(l) be the third derivative of l**5/330 - 71*l**4/132 - 14*l**3 + 1271*l**2. Determine k so that u(k) = 0.
-6, 77
Let p be 6/4 - 3/(-7 + 19). Let u(r) be the second derivative of -5/24*r**4 - 5/2*r**2 + p*r**3 + 0 - 14*r. Factor u(a).
-5*(a - 2)*(a - 1)/2
Let b = -24 + -24. Let r be (1/3)/(95/b - -2). Suppose -13*o**3 + o**3 + r*o**2 + 16*o - 70*o**5 + 74*o**5 - 8*o**4 = 0. What is o?
-1, 0, 2
Suppose -407 = 10*x - 427. Let s(k) be the third derivative of -k**4 + 7*k**x + 7/30*k**5 + 0*k + 0 - 4/3*k**3. Suppose s(j) = 0. Calculate j.
-2/7, 2
Let l = 562571 + -1687711/3. Let 20/3*h + l*h**2 - 16 = 0. What is h?
-12, 2
Let j be 1330/105 - (-5 - -15). Let p(f) be the first derivative of 0*f - j*f**3 + 15 - 5*f**4 + 0*f**2. Solve p(x) = 0.
-2/5, 0
Let d = -3/21953 + 43915/65859. Let 0 + 2/3*i**3 - d*i - 1/3*i**4 + 1/3*i**2 = 0. Calculate i.
-1, 0, 1, 2
Factor -4*g**4 + 30*g**2 - 7700*g + 7700*g - 2*g**3.
-2*g**2*(g + 3)*(2*g - 5)
Let q = -2425 + 2427. Let o(v) be the third derivative of 0*v**4 + 0*v**7 + 0*v + 0*v**3 + 14*v**q + 0*v**5 + 0 + 1/336*v**8 - 1/120*v**6. Factor o(w).
w**3*(w - 1)*(w + 1)
Let n be ((-243)/3 - (7 + -3)) + 4. Let f = 171/2 + n. Factor f + 9*w**2 + 0*w**3 - 3/2*w**4 - 12*w.
-3*(w - 1)**3*(w + 3)/2
Let l(q) = 17*q**3 - 15*q**2 - 31*q + 29. Let m(v) = -24*v**3 + 22*v**2 + 45*v - 43. Let w(n) = 7*l(n) + 5*m(n). Determine p so that w(p) = 0.
-2, 1, 6
Let u be ((-6222)/12444)/((-2)/(-7) + 19/(-42)). Let 5*b + 1/2*b**2 + 6 - 1/4*b**u = 0. What is b?
-2, 6
Let 1/3*q**2 + 3411409/3 + 3694/3*q = 0. What is q?
-1847
Let m be 10 - (100/10 + -15 + (0 - 2)). Let b(z) be the first derivative of -m + 100/3*z + 20/3*z**2 + 4/9*z**3. Factor b(x).
4*(x + 5)**2/3
Suppose 0 = -l - 83 + 97. Suppose c - 14 = 3*a, a = 2*c + 3*c - l. Factor -8/5*q - 2/5 + 9/10*q**c.
(q - 2)*(9*q + 2)/10
Suppose -106*a - 15/2*a**2 - 69/2 = 0. What is a?
-69/5, -1/3
Let b(s) = 27*s - 354. Let n be b(13). Let c(f) = -89*f - 263. Let a be c(n). Determine r so that 0*r + 0 - 2/9*r**2 + 2/9*r**a - 2/9*r**5 + 2/9*r**3 = 0.
-1, 0, 1
Let x be (-107 + 7 + -7)/(5/(-17)). Let z = 365 - x. Factor 0 - 3/5*w + 9/5*w**3 + z*w**2.
3*w*(w + 1)*(3*w - 1)/5
Let l = 21914 + -21912. Let j(n) be the second derivative of -1/7*n**5 + 27/7*n**l - 26*n + 0 + 6/7*n**4 + 1/105*n**6 - 18/7*n**3. Factor j(w).
2*(w - 3)**3*(w - 1)/7
Let v(c) be the first derivative of -1/5*c**5 - 2/3*c**4 - 40*c - 2/3*c**3 + 13 + 0*c**2. Let p(j) be the first derivative of v(j). Solve p(t) = 0 for t.
-1, 0
Suppose 5*p - 1 = 4. Let j be (p - 0)*4/2. Suppose 35*l**3 + 40*l**2 - 20*l**3 - 30 - 25*l + 0*l**j = 0. Calculate l.
-3, -2/3, 1
Let f = 92 + -87. Find y, given that 6*y**5 + 33*y**2 + 6*y**f - 2*y**5 - 68*y**2 + 20*y + 35*y**4 - 30*y**3 = 0.
-4, -1, 0, 1/2, 1
Let w = 16019 + -16019. Let y(b) be the second derivative of -1/24*b**4 + w*b**2 - 1/9*b**3 + 1/120*b**5 + 0 - 37*b. Factor y(a).
a*(a - 4)*(a + 1)/6
Let s(f) be the third derivative of -f**5/660 - 43*f**4/66 + 173*f**3/66 + 404*f**2. Solve s(q) = 0 for q.
-173, 1
Let t(f) be the first derivative of -f**5/180 - f**4/72 + f**3/3 + 21*f**2 - 12. Let y(m) be the second derivative of t(m). Suppose y(a) = 0. Calculate a.
-3, 2
Solve -2/11*p**2 + 40/11 - 2/11*p = 0.
-5, 4
Suppose 34*j - 74*j + 15*j + 75 = 0. Suppose -11/2*w**j - 186*w - 36 + 65*w**2 = 0. What is w?
-2/11, 6
Let m(y) be the first derivative of 2*y**6/3 - 24*y**5/5 + 9*y**4 - 16*y**3/3 + 268. Let m(a) = 0. Calculate a.
0, 1, 4
Let y(u) be the third derivative of u**5/90 + 83*u**4/36 - 49*u**2 + 14. Factor y(a).
2*a*(a + 83)/3
Let b(l) = -186 - 33*l**2 - 5*l - 18*l - 20*l + 370 - 2*l**3 - 190. Let w(n) = -7*n**3 - 130*n**2 - 173*n - 23. Let v(m) = 9*b(m) - 2*w(m). Factor v(d).
-(d + 1)*(d + 8)*(4*d + 1)
Let z be (135/18 + -8)*0*(9/6 - 2). Factor -6 - 1/2*g**3 + 13/2*g + z*g**2.
-(g - 3)*(g - 1)*(g + 4)/2
Let 8/9*o - 2/9*o**4 + 4/3*o**3 - 2*o**2 + 0 = 0. What is o?
0, 1, 4
Let d(z) = -15*z - 85. Let g be d(-6). Find c such that 3 + g*c**2 + 20*c + 15 