 h?
0, 1, 2
Let j(y) be the second derivative of -157*y + 41/90*y**5 + 1/3*y**3 + 1 + 0*y**2 + 4/135*y**6 + 23/27*y**4. Determine v so that j(v) = 0.
-9, -1, -1/4, 0
Let z(m) = 74*m**2 - 334*m + 1001. Let g(b) = -32*b**2 + 168*b - 501. Let j(s) = -14*g(s) - 6*z(s). Find n, given that j(n) = 0.
3, 84
Factor -84*h**2 - 99962478 - 4*h**3 + 99962478 + 288*h.
-4*h*(h - 3)*(h + 24)
Suppose 229 - 181 = 8*l. Let x(c) be the third derivative of 1/380*c**l + 0 - 3*c**2 - 11/570*c**5 + 0*c**3 + 0*c + 1/38*c**4. Factor x(f).
2*f*(f - 3)*(3*f - 2)/19
Let r = -464541/5 - -92909. Factor -1/5*x**3 + 0*x + 3/5*x**2 - r.
-(x - 2)**2*(x + 1)/5
Let z(r) = -12*r + 50. Let s be z(4). Find h, given that h - 12*h - 1152*h**3 + 1151*h**3 + 6*h**s + 6 = 0.
1, 2, 3
Let x(i) = -97*i - 289. Let l be x(-3). Let m(h) be the first derivative of 4*h**l + 0*h + 7 - 4/3*h**3. Factor m(d).
-4*d*(d - 2)
What is r in -848*r + 539328 + 1/3*r**2 = 0?
1272
Suppose -22*g - 159*g + 362 = 0. Let k(n) be the first derivative of 10 - 8/5*n**5 + 0*n + 0*n**g + n**4 + 0*n**3. Solve k(c) = 0 for c.
0, 1/2
Let f(o) be the second derivative of -1/6*o**6 + 160*o**2 + 0 - 4*o**5 - 105/4*o**4 - 122*o + 40/3*o**3. Determine j so that f(j) = 0.
-8, -1, 1
Let x = -5208 - -5210. Let a(l) be the first derivative of 1/12*l**3 - 11 - 5/8*l**x + 3/2*l. Solve a(s) = 0.
2, 3
Suppose -2*g = -j - 2, -6*g + 20 = -g. Factor -n**4 - 2*n**5 - 2*n**2 + j*n**3 + n**4 + 6*n**2.
-2*n**2*(n - 2)*(n + 1)**2
Suppose 45 = -2*q + 55. Factor -45*b**3 + 20 + q*b**4 + 55*b**2 - 9 + 5*b**5 - 20*b - 11.
5*b*(b - 1)**3*(b + 4)
Suppose -354/11*g + 126/11 - 156/11*g**3 + 30/11*g**4 - 2/11*g**5 + 356/11*g**2 = 0. Calculate g.
1, 3, 7
Let 56*t + 151*t - 49*t - 80*t**2 + 5*t**3 + 162*t = 0. What is t?
0, 8
Suppose -13/8*a + 1/8*a**4 - 3/4 + 1/8*a**3 - 7/8*a**2 = 0. What is a?
-2, -1, 3
Let o(v) be the first derivative of -v**8/1008 + v**7/70 - v**6/15 + 4*v**5/45 - 120*v**2 - 58. Let y(p) be the second derivative of o(p). Factor y(w).
-w**2*(w - 4)**2*(w - 1)/3
Let z(k) be the first derivative of 195 - 13/9*k**4 + 10/9*k - 1/27*k**6 - 7/3*k**2 + 2/5*k**5 + 68/27*k**3. Determine t, given that z(t) = 0.
1, 5
Let c(y) be the third derivative of -120*y**2 - 1/2310*y**7 + 0*y - 1/132*y**6 + 0 + 0*y**5 + 0*y**3 + 0*y**4. Factor c(s).
-s**3*(s + 10)/11
Let u(r) be the third derivative of -r**9/6048 - r**8/2520 + r**7/2520 + 5*r**5/4 + 2*r**2 - 42. Let b(h) be the third derivative of u(h). Factor b(j).
-2*j*(j + 1)*(5*j - 1)
Let h = 27 - 56. Let n = h - -81. Suppose -n*j**2 - 20*j - 71*j + 14*j**3 - 14*j - 20 + 19*j = 0. What is j?
-1, -2/7, 5
Let s = -113779/28 + 4064. Let c(h) be the second derivative of -33/140*h**5 - 1/7*h**3 - s*h**4 + 0*h**2 + 0 - 2*h. Factor c(b).
-3*b*(b + 1)*(11*b + 2)/7
Let d = -734322 - -6608902/9. Factor 392/9*g - d*g**2 - 9604/9.
-4*(g - 49)**2/9
Let z(s) = -s**2 + 388*s + 94. Let h(k) = -195*k - 47. Let r(w) = 7*h(w) + 4*z(w). Find a, given that r(a) = 0.
-1/4, 47
Let g = 6258 + -6230. Let z(c) be the first derivative of g + 1/9*c**3 + 10/3*c + 7/6*c**2. Factor z(p).
(p + 2)*(p + 5)/3
Let n = -2 + 4. Let l be (-2044)/(-12264)*48/9. Factor 2/3*y + 0 + 2/9*y**3 + l*y**n.
2*y*(y + 1)*(y + 3)/9
Suppose 2*x = 4*v - 28, 0 = 4*x + 11503*v - 11501*v - 14. Solve -76/3*l + x - 2/3*l**2 = 0 for l.
-38, 0
Factor -15*o**2 + 999/2 - 4971/4*o.
-3*(4*o + 333)*(5*o - 2)/4
Let x be -4 + 3/5*5. Let y(a) = -a**3 - a**2 + a + 1. Let h(r) = -9*r**3 - 30*r**2 + 39*r. Let w(z) = x*h(z) + 12*y(z). Factor w(k).
-3*(k - 4)*(k - 1)**2
Find i such that 46/3*i**2 + 2/3*i**4 - 216 + 10*i**3 - 210*i = 0.
-9, -1, 4
Let v be 8/(80/(-10470)) + -7. Let z = 1058 + v. Let 8*m**3 + 16/3*m**2 + 0*m + 0 + 2/3*m**5 + z*m**4 = 0. What is m?
-2, 0
Let m(j) be the first derivative of -4/13*j**3 + 25/13*j**2 - 100 + 50/13*j. Find s such that m(s) = 0.
-5/6, 5
Let p be 2/7 + 3 + (-95)/(-35). Let v = p - 4. Let 2*i**3 + 2*i - 19 - 4*i**v + 19 = 0. Calculate i.
0, 1
Let u(t) be the third derivative of -t**6/270 + t**5/90 + t**4/4 - 28*t**3/27 + 1630*t**2. Determine a so that u(a) = 0.
-7/2, 1, 4
Suppose -68*w**3 + 0 + 1051*w**4 + 23*w**3 - 518*w**4 + 63*w**2 - 521*w**4 + 9 - 39*w = 0. Calculate w.
3/4, 1
Let z be (3*(-19)/57)/((-5)/(-23)) - -5. Find k such that 2/5*k + z*k**2 - 4/5 = 0.
-2, 1
Let a be ((-780)/(-208)*(0 - 4))/(-3). Let j(d) be the second derivative of 0 + 11*d + 0*d**2 + 0*d**4 + 1/4*d**a + 0*d**3. What is v in j(v) = 0?
0
Let h = -22 - -130. Let y = -100 + h. Factor -30*n**4 - 4*n**5 - y*n**3 + 0 + 0 + 18*n**4.
-4*n**3*(n + 1)*(n + 2)
Determine d, given that 46/15*d**2 - 26/5*d**3 + 26/15*d**4 + 16/3*d - 24/5 - 2/15*d**5 = 0.
-1, 1, 2, 9
Let b(d) be the second derivative of 5/12*d**4 + 50*d**2 - 35/2*d**3 + 30 + d. Factor b(k).
5*(k - 20)*(k - 1)
Let p be 9/(-1260)*-20*8/(224/147). Find g, given that 27/4*g**2 - p*g + 3/4*g**3 - 27/4 = 0.
-9, -1, 1
Let s = -441 + 444. Let q be 2/(-7) + 1682/7. Solve -q*f**2 - 12*f**s + 50 + 39*f + 26*f + 57*f**3 = 0 for f.
-1/3, 2/3, 5
Let r = -37691/9 + 4188. Let y(l) be the second derivative of 1/3*l**2 + r*l**3 + 0 + 7*l - 1/30*l**5 - 1/18*l**4. Factor y(f).
-2*(f - 1)*(f + 1)**2/3
Let p(t) be the second derivative of t**6/150 - t**5/25 - t**4/20 + 7*t**3/15 - 4*t**2/5 - 2*t - 13. Factor p(g).
(g - 4)*(g - 1)**2*(g + 2)/5
Let p(f) be the third derivative of 75*f**5/4 + 94*f**4 + 2*f**3 - 6268*f**2. Factor p(o).
3*(o + 2)*(375*o + 2)
Let w(l) be the second derivative of -l**5/150 + 257*l**4/30 - 66049*l**3/15 + 16974593*l**2/15 + 198*l - 2. Factor w(f).
-2*(f - 257)**3/15
Find y such that 1632*y - 1728 + 284/3*y**2 + 4/3*y**3 = 0.
-36, 1
Let x(i) = -i**2 - i. Let y(s) = 6*s**2 + 12*s + 6. Suppose 0 = -2*j + 5*b - 0*b - 61, b = 3*j + 85. Let v(k) = j*x(k) - 4*y(k). Factor v(h).
4*(h - 6)*(h + 1)
Let k(s) be the first derivative of s**3/9 - 400*s**2/3 + 160000*s/3 - 1754. Determine b so that k(b) = 0.
400
Let o(q) be the third derivative of 2*q**7/105 - 19*q**6/30 + 127*q**5/15 - 119*q**4/2 + 240*q**3 - 3204*q**2. Determine j, given that o(j) = 0.
3, 5, 8
Let a = -88070/483 + 4196/23. Factor 0 + 8/21*s + a*s**2.
2*s*(s + 4)/21
Let g be (1 - 4)/(39921/(-30416)). Suppose -132/7*n + 54/7*n**5 + g + 374/7*n**2 + 90/7*n**4 - 402/7*n**3 = 0. Calculate n.
-4, 1/3, 2/3, 1
Suppose t - 38 + 35 = 0. Determine o, given that -15*o - 74*o**3 + 23*o**t + 28*o**3 + 10 + 28*o**3 = 0.
-2, 1
Let d = -1245 - -1259. Let t be (1 - d/8)*(-162 + 158). Factor 0*j**4 - 2*j**2 + 0 - 7/3*j**t + 0*j + 1/3*j**5.
j**2*(j - 3)*(j + 1)*(j + 2)/3
Factor -4/7*b**3 - 12/7*b + 0 + 16/7*b**2.
-4*b*(b - 3)*(b - 1)/7
Let j = -25 - -58. Let d be 15/(-5)*((-10)/4 + 39/26). Factor 25/2*q**4 + 22*q - j*q**2 + 5/2*q**d - 4.
(q - 1)*(q + 2)*(5*q - 2)**2/2
Factor -511*v - 451*v - 442*v + 3*v**2 + 1488*v + 588.
3*(v + 14)**2
Let r(t) = -12*t - 93. Let d be r(-8). Factor 18*z**2 + 59*z**d - 49*z**3 + 0*z**2.
2*z**2*(5*z + 9)
Let q(w) be the third derivative of -w**5/100 + 25*w**4/8 - 62*w**3/5 + 1997*w**2 - 2*w. Find c such that q(c) = 0.
1, 124
Suppose -10 = -2*u, 2*u = -2*v - 96 + 110. Let n(m) be the first derivative of -5/12*m**3 - 5*m - 25/8*m**v + 18. Solve n(x) = 0.
-4, -1
Let d(x) be the first derivative of -x**8/336 + x**7/35 - x**6/10 + 2*x**5/15 - 2*x**2 + 2*x - 198. Let f(t) be the second derivative of d(t). Solve f(b) = 0.
0, 2
Factor 39717*l + 24*l**2 - l**3 + 20 - 39759*l - l**3.
-2*(l - 10)*(l - 1)**2
Let f be ((-3)/((-6)/47))/(2/4). Determine n so that 160 + 30*n + 55*n**3 - f*n**3 - 98*n**4 + 2008*n**2 + 1098*n + 34*n**3 = 0.
-4, -2/7, 5
Find z such that 96*z**2 - 12*z**2 - 283*z + 147 + 413 - 4*z**3 + 238*z - 387*z = 0.
2, 5, 14
Let x be 6/(150/35) - 50/250. Factor -x*l**2 + 2/5*l + 6/5*l**3 + 0 - 2/5*l**4.
-2*l*(l - 1)**3/5
Factor 0 + 42*q - 3/5*q**2.
-3*q*(q - 70)/5
What is x in 8/21*x**2 + 0 + 10/21*x**3 + 0*x + 2/21*x**4 = 0?
-4, -1, 0
Let p(k) be the first derivative of k**6/24 + 3*k**5/10 - 7*k**4/16 - 233. Determine l, given that p(l) = 0.
-7, 0, 1
Factor -64869976*a**4 - 412*a**2 + 64869974*a**4 - 230*a**3 + 2*a - 184*a**3 - 2*a.
-2*a**2*(a + 1)*(a + 206)
Let -16 + 2372/5*h**2 + 68*h**3 + 3344/5*h = 0. What is h?
-5, -2, 2/85
Let o(t) be the second derivative of t**5/10 + 5*t**4 + 43*t**3 + 100*t**2 - 103*t - 1. Determine z