*u/11 - 1409. What is h in r(h) = 0?
-16, -1, 2
Let k(x) = 62*x - 48. Let q be k(6). Solve 3*b**5 - 15*b**3 + q - 135*b**2 + 115*b**4 + 92*b**4 - 192*b**4 = 0 for b.
-3, 2
Let n = 2019/2 - 1009. Let c(r) be the second derivative of 0 + 1/3*r**3 - 1/12*r**4 + 10*r - n*r**2. Factor c(x).
-(x - 1)**2
Let l = -103429/3 - -33845. Let f = l - -9677/15. Let -f*y**2 - 21/5*y**5 + 24/5*y + 12/5 + 57/5*y**4 - 3/5*y**3 = 0. What is y?
-1, -2/7, 1, 2
Factor -20/3*c + 320 - 85/3*c**2 - 5/3*c**3.
-5*(c - 3)*(c + 4)*(c + 16)/3
Let m(w) be the third derivative of w**5/36 + 145*w**4/72 + 624*w**2. Factor m(r).
5*r*(r + 29)/3
Let n = -2307073/3 - -769067. Determine o, given that -49/3*o**4 + n*o**3 - 2*o - 4*o**5 - 61/3*o**2 + 0 = 0.
-6, -1/12, 0, 1
Let q be 2 + -2 - 6/2 - -6. Suppose 32*l - 40 - 8 = 8*l. Determine d, given that 4/7*d**l - 2/7 - 1/7*d + 3/7*d**q = 0.
-1, 2/3
Factor 2*x**4 + 13*x**2 - 6*x**4 + 64*x**3 + 97 - x**2 + 39 - 8 - 200*x.
-4*(x - 16)*(x - 1)**2*(x + 2)
Suppose -12*l + 5 = -19. Let w be (l*-6)/(36/(-27)). Solve w*u - 3/2*u**2 - 27/2 = 0 for u.
3
Solve 0 + 748*n**3 + 2662/9*n**5 + 7018/9*n**4 + 48*n + 312*n**2 = 0.
-1, -6/11, 0
Let h(l) be the second derivative of -95*l + 0 + 3/2*l**3 + 1/12*l**4 + 7*l**2. Solve h(s) = 0.
-7, -2
Let m(p) = -p**3 - 20*p**2 - 44*p - 71. Let x be m(-16). Let g = x + 1956/5. Solve g*k**3 + 343/5 + 21/5*k**2 + 147/5*k = 0 for k.
-7
Factor -778 + 6*a - 238 + 1388*a - 184 - 196*a + 2*a**2.
2*(a - 1)*(a + 600)
Suppose -13*o - 1144 = -3159. Factor 6*j**5 + 20 - 50 + 255*j**3 - 295*j**2 - 63*j**4 - 32*j**4 + o*j + 4*j**5.
5*(j - 6)*(j - 1)**3*(2*j - 1)
Solve 353*o - 375 + 273*o**3 - 261*o**3 + 1237*o - 363*o**2 = 0 for o.
1/4, 5, 25
Let r(m) be the second derivative of -m**3 + 2/5*m**5 + 2 + 0*m**6 + 1/3*m**4 - 2*m**2 - 1/21*m**7 - 26*m. Solve r(q) = 0.
-1, 1, 2
Let t(o) be the third derivative of 3*o**8/392 - 38*o**7/245 + 397*o**6/420 - 38*o**5/35 + 3*o**4/7 - 49*o**2 - 5. Solve t(c) = 0.
0, 1/3, 6
Let s(t) be the second derivative of -t**6/40 - t**5/5 + 5*t**4/8 - 19*t**2 + 60*t. Let w(x) be the first derivative of s(x). Determine o, given that w(o) = 0.
-5, 0, 1
Let d = 96 + -92. Find r, given that 6*r**2 - 4*r**d + r**4 - 3 + 0*r**4 = 0.
-1, 1
Let z be (-4)/48 + (-6)/(-36). Let j(n) be the second derivative of 0*n**5 - 1/16*n**4 + 0*n**2 - 2*n + 0 + 1/120*n**6 - z*n**3. Factor j(u).
u*(u - 2)*(u + 1)**2/4
Solve 244/3*u - 14884/3 - 1/3*u**2 = 0 for u.
122
Let r(x) = 1820*x**3 + 8805*x**2 + 1540*x + 80. Let k(g) = -1819*g**3 - 8804*g**2 - 1543*g - 78. Let u(c) = -5*k(c) - 4*r(c). Find b, given that u(b) = 0.
-14/3, -1/11
Let j(h) = h**2 - 156*h - 3531. Let m(t) = t**2 + 4*t - 1. Let i(l) = 2*j(l) - 6*m(l). Factor i(g).
-4*(g + 42)**2
Let m(g) be the first derivative of -12*g**4 + 1544*g**3 - 2307*g**2/2 + 288*g + 1061. Let m(n) = 0. What is n?
1/4, 96
Suppose -2*v = -24*x + 23*x, 0 = -2*x + 2*v + 2. Let j(z) be the first derivative of -1/28*z**4 - 10 + 1/7*z**3 - 1/7*z**x + 0*z. Factor j(g).
-g*(g - 2)*(g - 1)/7
Suppose -3*x + 12 = -2*x. Suppose -4*b - 5*u + x = -0*u, 0 = -5*b - 3*u + 15. Factor 17*t**3 + 3*t**4 - 8*t**3 - b*t**2 + 3*t**3 - 9*t - 3*t**3.
3*t*(t - 1)*(t + 1)*(t + 3)
Let 18*b**3 - 845*b - 4*b**3 - b**4 + 7*b**3 - 79*b**2 + 40*b**2 = 0. What is b?
-5, 0, 13
Suppose -2*v + 19 = k + 1, -5*v + 2*k = -36. Suppose 0 = -4*w + c + 3*c + v, -2*c = 2*w + 4. Factor -6/7*u + w + 3/7*u**3 + 3/7*u**2.
3*u*(u - 1)*(u + 2)/7
Determine v, given that 136*v**2 - 156 + 42*v - 133*v**2 - 15*v = 0.
-13, 4
Solve -13280/11*a - 3492/11*a**4 + 162/11*a**5 + 21104/11*a**3 - 1600/11 - 22496/11*a**2 = 0.
-2/9, 2, 10
Let b be (-11 - (-3 - 4)) + 8. Let n(d) be the second derivative of -1/3*d**3 + 0 + 0*d**2 - 25*d + 1/12*d**b. Factor n(m).
m*(m - 2)
Let p(c) be the second derivative of 2*c**6/27 - c**5/90 - 5*c**4/9 + 23*c**3/27 - 2*c**2/9 - 35*c + 2. Suppose p(z) = 0. What is z?
-2, 1/10, 1
Let h = 18926 - 94629/5. Let g be 6/1*(18/(-10))/(-3). Factor -g*t - 81/5 - h*t**2.
-(t + 9)**2/5
Let t = -1089 - -1097. Let a(f) be the first derivative of -75/8*f**4 + 20*f**5 - 125/12*f**6 + 0*f + f**2 + t - 2/3*f**3. Solve a(y) = 0.
-1/5, 0, 2/5, 1
Let r(p) be the third derivative of p**7/3150 - p**6/225 + 2*p**5/75 + 77*p**4/24 - 41*p**2 - 2*p. Let t(g) be the second derivative of r(g). Factor t(y).
4*(y - 2)**2/5
Let o(x) be the third derivative of 1/64*x**4 + 0 + 2*x - 1/2688*x**8 + 6*x**2 - 1/480*x**6 - 1/560*x**7 + 1/240*x**5 + 1/48*x**3. Factor o(b).
-(b - 1)*(b + 1)**4/8
Let k(d) = -14*d - 118. Let i be k(-8). Let o be i - -14 - (1 - -3). Solve 5/3*q**3 - 5/3*q**o + 0 + 5/3*q**2 - 5/3*q**5 + 0*q = 0 for q.
-1, 0, 1
Determine n, given that 1758*n + 6112*n**2 - 984*n**3 - 72 - 2613*n**4 + 506*n**5 + 2*n**5 + 2718*n + 573*n**4 = 0.
-1, 2/127, 3
Let r(i) be the second derivative of -i**5/180 + i**4/18 + 19*i**3/54 - 14*i**2/3 - 2829*i. Determine x so that r(x) = 0.
-4, 3, 7
Suppose 2*f - 4 - 2 = -4*z, 3*z = f + 17. Suppose 4*o - 16 = -q, 3*o + 3*q - 2*q - 11 = 0. Determine l, given that -5 - o*l**2 + z + 6 = 0.
-1, 1
Let g = 44 + -42. Suppose g*f - 2*f = 2*f. Factor d**2 - d + 3*d**3 + f*d**3 - 2*d - 4*d**2 + 3*d**4.
3*d*(d - 1)*(d + 1)**2
Let i(o) be the second derivative of 3*o**5/200 - 653*o**4/120 + 217*o**3/30 + 3535*o. Factor i(y).
y*(y - 217)*(3*y - 2)/10
Let x = -113 - -905/8. Let m be (-5 - 8) + (-55)/(-4). Suppose 5/8*r + x*r**2 + m = 0. Calculate r.
-3, -2
Let d(r) be the first derivative of -r**6/4 - 81*r**5/10 + 1197*r**4/8 - 713*r**3/2 + 513*r**2/2 + 1150. What is m in d(m) = 0?
-38, 0, 1, 9
Suppose 1364 - 1373 = -5*c - z, -1 = -c - z. Let 1/2*a**2 - 2*a + c = 0. Calculate a.
2
Suppose 669*l = 187*l + 766 + 680. Factor 0 + 1/4*r + 1/8*r**4 + 5/8*r**2 + 1/2*r**l.
r*(r + 1)**2*(r + 2)/8
Solve -1218/13*o**2 + 1218/13 - 2/13*o + 2/13*o**3 = 0 for o.
-1, 1, 609
Suppose -18 = 32*j - 38*j. Solve -6*y**3 + 13*y**5 - 8*y**2 - 20*y**5 - j*y + 8*y**5 = 0 for y.
-1, 0, 3
Let h = 5729 + -5697. Let u(j) be the second derivative of 0*j**4 + 0 + 0*j**2 - h*j - 2/21*j**7 + 0*j**3 + 4/15*j**6 + 0*j**5. Suppose u(p) = 0. Calculate p.
0, 2
Suppose -r = -2*l, -3*l - 2*r - 2 = -16. Determine x so that 61*x + 5*x**3 + 100*x**l - 190 - 32*x + 45*x + 11*x = 0.
-19, -2, 1
Let m(y) be the first derivative of -3*y**4/4 + 100*y**3 - 7791*y**2/2 + 14406*y + 7260. Determine w so that m(w) = 0.
2, 49
Let b(y) be the second derivative of 1/84*y**4 - 6*y**2 + 2/21*y**3 - 18*y + 0 - 1/420*y**6 - 1/105*y**5. Let o(d) be the first derivative of b(d). Factor o(q).
-2*(q - 1)*(q + 1)*(q + 2)/7
Suppose -158 = f + 2*f - 4*i, -5*f + 4*i - 258 = 0. Let x be ((-180)/f)/((-4)/(-10)). Factor -6 - n**4 + x - 7 + 3 + 2*n**2.
-(n - 1)**2*(n + 1)**2
Determine o so that 16/7*o**3 - 24/7*o**2 + 0*o + 0 - 2/7*o**4 = 0.
0, 2, 6
Let n(l) be the first derivative of -l**5/10 + l**4/4 + l**3/6 - l**2/2 - 46. Factor n(p).
-p*(p - 2)*(p - 1)*(p + 1)/2
Let c(j) = 66*j**2 + 14*j + 28. Let v(d) = 7*d**2 - d. Let r(t) = -c(t) + 10*v(t). Determine q, given that r(q) = 0.
-1, 7
Let n(c) be the second derivative of 2*c**7/21 + 6*c**6/5 + 16*c**5/5 - 8*c**4 - 160*c**3/3 - 96*c**2 + 2*c + 358. Let n(r) = 0. Calculate r.
-6, -2, -1, 2
Let h(x) = 13*x - 189. Let g be h(15). Let v be (g - (-291)/(-33)) + 3. Factor -6/11*n - v*n**2 - 4/11.
-2*(n + 1)*(n + 2)/11
Let p(i) = -14*i - 40. Let m be p(-3). Suppose 5*t = -m*l - 3*l - 5, l = -3*t - 7. Determine h so that 0 - 13/5*h**4 - 4*h**3 - 4/5*h**l + 0*h + 12/5*h**5 = 0.
-2/3, -1/4, 0, 2
Find c, given that -450*c**2 + 149*c**2 + 149*c**2 + 150*c**2 - 850 + 180*c = 0.
5, 85
Let b(j) = j**3 + j**2 + j. Let o(v) = 8*v**3 + 10*v**2. Suppose 3*d + 4*x - 6 = 0, -3*d = -6*d + 3*x + 27. Let w(q) = d*b(q) - o(q). Factor w(z).
-2*z*(z - 1)*(z + 3)
Let m(q) be the first derivative of -7/66*q**4 - 98/55*q**5 + 1/11*q**2 + 10/33*q**3 - 18*q + 21. Let y(p) be the first derivative of m(p). Factor y(r).
-2*(4*r - 1)*(7*r + 1)**2/11
Suppose -6 - 18 = -5*u + 3*x, 4*u = -3*x + 3. Determine d, given that -24*d + 20*d**3 - 4*d**2 - 4*d**u - 4*d**4 + 8*d**3 + 8*d**2 = 0.
-1, 0, 1, 6
Let g = -52 - -22. Let t = 34 + g. Let b(q) = -q**3 + 8*q**2. Let d(n) = 2*n**3 - 17*n**2 - n. Let s(j) = t*d(j) + 9*b(j). Determine z, given that s(z) = 0.
0, 2
Let b be ((-8323)/1