e -46*n + 1219 - 5*n**m - 4*n - 1264 = 0. What is n?
-9, -1
Let u be (4 - 1722/432)/(-6*9/(-162)). Let g(t) be the second derivative of -u*t**4 + 12*t + 0 + 7/4*t**2 + 1/2*t**3. Factor g(i).
-(i - 7)*(i + 1)/2
Let q(k) be the first derivative of 9*k**3 - 3/8*k**6 + 57/20*k**5 - 3*k**2 - 63/8*k**4 + 0*k + 58. Solve q(c) = 0.
0, 1/3, 2
Let l = -796 + 796. Let h(s) be the second derivative of -2*s + 1/69*s**3 + 0*s**2 + 1/138*s**4 + l. Factor h(n).
2*n*(n + 1)/23
Let i(q) = -3*q**4 + 8*q**3 + 23*q**2 - 6*q - 18. Let p(y) = y**4 - y**2 - y - 1. Let k(m) = i(m) + 2*p(m). Find s, given that k(s) = 0.
-2, -1, 1, 10
Let a = -1480 + 1187. Let i = -2049/7 - a. Factor -2/7*m + 10/7*m**3 - i*m**2 - 6/7*m**4 + 0.
-2*m*(m - 1)**2*(3*m + 1)/7
Let r(x) be the second derivative of x**5/4 - 1895*x**4/6 + 718205*x**3/6 + 26*x - 48. Factor r(b).
5*b*(b - 379)**2
Let n(o) = 8*o**2 - 72*o + 168. Let k(x) = -x**2 + 2*x + 6. Let p(h) = 4*k(h) + n(h). Factor p(u).
4*(u - 12)*(u - 4)
Determine o, given that -184 + 68/3*o - 68/3*o**3 - 4/3*o**4 + 556/3*o**2 = 0.
-23, -1, 1, 6
Factor -4440*h**2 - 28 + 2228*h**2 - 5*h**4 + 2229*h**2 - 32*h - h**5 + 17*h**3.
-(h - 2)**2*(h + 1)**2*(h + 7)
Factor 108*w - 24*w**2 - 3*w**3 + 3/4*w**4 - 108.
3*(w - 6)*(w - 2)**2*(w + 6)/4
Let n = 54 - 51. Let w be n*(-3)/9*-3. What is t in 16*t**5 - 30*t**3 + 15*t**2 + t - w*t + 7*t**3 - 24*t**4 = 0?
-1, 0, 1/4, 2
Factor 4198467/5*r - 7098/5*r**2 + 3/5*r**3 + 0.
3*r*(r - 1183)**2/5
Suppose p + 2*o = -16, -3*o - 56 = 5*p - 39. Factor 21/4*i + 1/4*i**p + 5.
(i + 1)*(i + 20)/4
Let n(b) = 3*b**2 - 2*b - 1. Let o(x) = -8*x**2 + 202*x + 614. Let i(m) = -2*n(m) - o(m). Factor i(d).
2*(d - 102)*(d + 3)
Let o(x) be the second derivative of -9*x**5/50 + 136*x**4/15 + 73*x**3/5 - 62*x**2/5 + 285*x. Solve o(g) = 0.
-1, 2/9, 31
Let q = 1306/15 - -6163/30. Determine t, given that q*t**3 - 462*t**2 - 40 - 27/2*t**4 + 242*t = 0.
1/3, 2/3, 20
Let x(p) be the first derivative of p**3/6 - 7*p**2/4 - 60*p - 230. What is k in x(k) = 0?
-8, 15
Let j(h) = h**2 + 2587*h - 28576. Let c be j(11). Factor -3/2*l**2 - 1/6*l**4 + l**3 + c - 2/3*l.
-(l - 3)*(l - 2)**2*(l + 1)/6
Let z(t) be the second derivative of -5*t**4/78 - 49*t**3/13 + 90*t**2/13 - 5548*t. Let z(w) = 0. What is w?
-30, 3/5
Let d be -1*(2 - 1) - -62. Let b = -63 + d. Let y(k) = 81*k**2 + 128*k - 23. Let q(n) = -20*n**2 - 32*n + 6. Let h(f) = b*y(f) - 9*q(f). Factor h(p).
2*(p + 2)*(9*p - 2)
Let l(a) = 17*a - 65. Let y be l(6). Determine p, given that p**3 + 3*p**3 + y - 61 + 16*p - 24 + 28*p**2 = 0.
-6, -2, 1
Let f(q) be the first derivative of q**3/7 - 6*q**2/7 - 36*q/7 + 2278. Solve f(g) = 0.
-2, 6
Let o(t) = 36*t**3 - 289*t**2 + 197*t + 49. Let d(n) = 24*n**3 - 193*n**2 + 131*n + 33. Let g(u) = -7*d(u) + 5*o(u). Factor g(z).
2*(z - 7)*(z - 1)*(6*z + 1)
Let j = 196970 + -196968. Let -14/11*o**4 + 40/11 + 46/11*o**j + 8*o - 2/11*o**5 - 14/11*o**3 = 0. What is o?
-5, -2, -1, 2
Let t = 2198 - 768. Let q = t + -1430. Suppose -17/8*a**3 + 1/4*a + q - 7/4*a**4 - 1/8*a**2 = 0. What is a?
-1, -1/2, 0, 2/7
Let c(k) be the second derivative of -k**7/21 - 19*k**6/45 + 20*k**5/9 - 8*k**4/3 + 1409*k. Determine y so that c(y) = 0.
-9, 0, 4/3
Solve -18/5*o**4 + 0 + 44*o**2 + 14/5*o**3 + 48/5*o = 0.
-3, -2/9, 0, 4
Let v(s) be the second derivative of -208849*s**5/140 - 457*s**4/21 - 2*s**3/21 + 2270*s. Factor v(b).
-b*(457*b + 2)**2/7
Let v = -23570 - -23572. Find q, given that 0 + 3/4*q**v + 0*q = 0.
0
Suppose -2/17*j**4 - 154/17*j**3 - 1260/17 - 1010/17*j**2 - 2118/17*j = 0. What is j?
-70, -3, -1
Let r(x) be the second derivative of 0 - 1/6*x**2 + 5/36*x**3 - 5*x + 1/120*x**5 - 1/18*x**4. Factor r(t).
(t - 2)*(t - 1)**2/6
Suppose 0 = 9*c - 4*b - 56, -9 = -2*c - b - 6. Find i such that 16/5*i**3 - 11/5*i**c - 9/5*i**5 + 0*i + 0 + 4/5*i**2 = 0.
-2, -2/9, 0, 1
Let n(x) = -197*x + 120. Let k be n(5). Let l = 16437/19 + k. What is i in -26/19*i**4 - 250/19 - 350/19*i + 92/19*i**3 + l*i**5 + 20/19*i**2 = 0?
-1, 5
Let v(t) = -t**2 + 46*t - 16. Let z be v(45). Suppose 0 = z*y + 2*y - 6*y. Determine j, given that 0*j**3 + 6/13*j**2 - 2/13*j**4 + y + 4/13*j = 0.
-1, 0, 2
Let q(j) be the first derivative of 45*j + 5/4*j**4 + 95/2*j**2 + 3 + 55/3*j**3. Solve q(a) = 0 for a.
-9, -1
Let d be 7/(28/72) - 4. What is j in 43*j**4 - d*j - 16*j**5 - 180*j**3 - 10*j + 116*j**2 + 53*j**4 = 0?
0, 1/2, 2, 3
Let h be 3 + 5 + -5 + 6. Let d be (-108)/189*(-182)/h. Let -44/3*j**2 + 98/9*j**4 - d*j + 154/9*j**3 - 16/9 = 0. What is j?
-2, -2/7, 1
Let v(j) be the third derivative of -2*j**7/15 - 23*j**6/30 + 106*j**5/15 - 26*j**4/3 - 16*j**3 - j**2 + 102*j. Find c, given that v(c) = 0.
-6, -2/7, 1, 2
Let m(t) be the third derivative of 11*t**8/336 + 163*t**7/210 - 19*t**6/10 - 79*t**5/15 + 8*t**4/3 + 3212*t**2. Let m(l) = 0. What is l?
-16, -1, 0, 2/11, 2
Suppose -37 = -13*i + 28. Suppose -i*v + 3*a = -30, -v = 6*a - 10*a - 23. Suppose 48/7*t**2 - v*t**3 + 3/7*t**4 - 36/7*t + 0 = 0. What is t?
0, 2, 3
Let j be (540/(-5))/(-12) + -6. Let x(l) be the second derivative of -5/14*l**7 + 0*l**2 - 5/4*l**5 + 7/6*l**6 + 0*l**j + 13*l + 0 + 5/12*l**4. Factor x(y).
-5*y**2*(y - 1)**2*(3*y - 1)
Let a(w) = 631*w - 241671. Let m be a(383). Factor -2/5*b**m + 24/5 + 2/5*b**3 - 16/5*b.
2*(b - 2)**2*(b + 3)/5
Factor -1147*d - 5*d**3 + 480*d + 577*d + 720 - 125*d**2.
-5*(d - 2)*(d + 3)*(d + 24)
Let p(s) = 21 - 2*s**3 + 0*s + 8*s**2 - s - 2*s**3 - 19. Let b(g) = -3*g**3 + 7*g**2 - g + 1. Let q(u) = 5*b(u) - 4*p(u). Factor q(h).
(h - 1)*(h + 1)*(h + 3)
Factor -2*g**2 - 7859 + 350*g + 7859.
-2*g*(g - 175)
Solve -24*y**2 + 130/11*y**3 + 1536/11*y**4 + 14/11*y + 0 + 216/11*y**5 = 0.
-7, -1/2, 0, 1/18, 1/3
Suppose -58 = 12*x + 2. Let v(w) = -2*w**3. Let j(k) = 4*k**3 - 2*k**2. Let i(n) = x*v(n) - 3*j(n). Factor i(g).
-2*g**2*(g - 3)
Let x be ((-28)/21 + 20/6)/1. Let 20*d**2 - 4 - 26*d**2 + 7*d**x - 3*d = 0. What is d?
-1, 4
Let j be 345/23 + (-90)/10. Let u(f) be the third derivative of -2*f**2 + 0*f**3 + 0*f**4 + 0 - 1/24*f**j + 0*f + 1/10*f**5 + 1/210*f**7. Factor u(b).
b**2*(b - 3)*(b - 2)
Let q be 0 - ((-2)/(-10) + (-64)/(-80)). Let b(y) = -5*y**3 + 12*y**2 - 10*y. Let j(a) = a**3 - a. Let n(s) = q*b(s) - 2*j(s). Find m, given that n(m) = 0.
0, 2
Solve 0 - 14/23*j + 2/23*j**3 + 12/23*j**2 = 0 for j.
-7, 0, 1
Let h be 12 - -1 - (0 + 5 - 7). Suppose -z + h = 9. Let -2*n - 1 - 12 + n**2 + z*n + 1 = 0. What is n?
-6, 2
Let r(s) be the first derivative of -4*s**2 - 12/5*s**5 + 2/3*s**6 + 0*s + s**4 - 167 + 4*s**3. What is t in r(t) = 0?
-1, 0, 1, 2
Factor -99*d + 131*d - 186 + 59*d - 70*d**2 - d**3 + 163*d + 3*d**3.
2*(d - 31)*(d - 3)*(d - 1)
Suppose 1 = -5*x - 3*i + 26, 5*i = -3*x - 1. Solve 3*z**3 - x*z**4 - 22*z**2 - 7*z**3 - 17*z**2 + 4*z**5 + 47*z**2 = 0.
-1, 0, 1, 2
Let z(y) be the second derivative of -2 + 365/12*y**4 - 6845/2*y**2 + 1/4*y**5 + 6475/6*y**3 - 77*y. Determine c so that z(c) = 0.
-37, 1
Suppose 16*r - 15*r - 608 = 0. Let 608*d**3 + r*d**3 - 1220*d**3 - 8*d**2 + 4*d**4 = 0. Calculate d.
-1, 0, 2
Suppose 2*v + 10*z + 4 = 6*z, 2*z + 50 = 3*v. Let w(p) be the third derivative of 0*p + 0 + 1/36*p**4 + v*p**2 + 0*p**3 - 1/36*p**5 + 1/120*p**6. Factor w(k).
k*(k - 1)*(3*k - 2)/3
Let l(w) = 3*w**3 - 15*w**2 + 237*w - 527. Let h(n) = n**3 + 8*n**2 + n - 1. Let o(b) = -6*h(b) + 3*l(b). Factor o(v).
3*(v - 21)*(v - 5)**2
Let t = -2497 + 17487/7. Factor t*k + 6/7 + 2/7*k**2.
2*(k + 1)*(k + 3)/7
Let w(c) = c + 1. Suppose q + 4*k = 19 - 1, -5*q = -5*k + 10. Let f(v) = 173 + 7*v + 2*v + 2*v**q - 170. Let b(g) = 2*f(g) - 6*w(g). Factor b(y).
4*y*(y + 3)
Suppose 5*x = -2*n - 6, -5*x = 3*n - 296 + 300. Let w(r) be the first derivative of -5*r**n + 4 + 0*r + 5/3*r**3. Find z such that w(z) = 0.
0, 2
Let g(f) be the third derivative of -f**6/240 - 157*f**5/24 - 9653*f**4/3 - 38416*f**3/3 + 1151*f**2 - 1. Factor g(b).
-(b + 1)*(b + 392)**2/2
Let x = 53917 + -53914. Let p = 2/63 - -40/63. Let 2/3*o**x + 0 + p*o**2 + 0*o = 0. Calculate o.
-1, 0
Let d be 2/(6 + (-44)/8). Factor -2*p**5 + 10*p**d - 105*p**2 + 6*p**3 + 111*p**2 - 20*p**3.
-2*p**2*(p - 3)*(p - 1)**2
Factor 254*a**2 - 2546/5*a + 1274/5 + 2/5*a**3.
2*(a - 1)**2*(a + 637)/5
Suppose 2*s + 188 = 2*c - 6*c, 0 = s + 4. Let n be 5/(-5) + c/(-35). Factor n*r**2