n?
-2, 1
Let k(v) = 2*v + 2*v + 10 + 0 + v. Let c be k(8). Let -6*p**2 + 2*p**5 - 6*p**4 + 4*p**4 - 10*p**3 + 50 - c = 0. What is p?
-1, 0, 3
Let o = -47 + 52. Suppose -o = 3*i - 14. Find j such that -57*j**i - 58*j**3 + 116*j**3 + 2*j**2 = 0.
-2, 0
Suppose 4*o - 4 = -5*k + 32, 2*o = -2*k + 14. Let v(c) = 11250*c**2 - 608*c + 8. Let q(l) = l. Let p(b) = k*q(b) + v(b). Find u, given that p(u) = 0.
2/75
Let i be -4 + (34 - 36) + (-32348)/(-21). Let d = i - 1534. Factor d*h - 2/21*h**2 - 2/7.
-2*(h - 3)*(h - 1)/21
Suppose 5*i - 1311 + 1300 = -3*t, 4*t - 9 = -i. Factor 512/7 + 18/7*v**t + 192/7*v.
2*(3*v + 16)**2/7
Let w be 56/(-24)*(-66)/539. Factor -12/7 - w*c**2 - 2*c.
-2*(c + 1)*(c + 6)/7
Let i(s) be the third derivative of 0*s**3 - 51*s**2 + 1/21*s**6 - 1/98*s**8 + 0 - 2/105*s**5 - 13/735*s**7 + 0*s**4 + 0*s. What is a in i(a) = 0?
-2, 0, 1/4, 2/3
Let r(k) be the third derivative of 0 - 146*k**2 + 3*k**4 - 1/40*k**6 + 0*k + 3/20*k**5 - 40*k**3. Factor r(y).
-3*(y - 4)**2*(y + 5)
Suppose -5*g + 5 = 0, 13*d = 18*d - 2*g - 8. Factor 3*y**3 + 25 - 29*y**2 + 104*y**d + 2*y**3 - 25.
5*y**2*(y + 15)
Let k(v) be the third derivative of v**5/90 + 436*v**4/9 + 760384*v**3/9 - 2236*v**2. Solve k(o) = 0 for o.
-872
Let b be (2275/(-60) + 1)/(38/(-8)). Let d = b + -135/19. Find f, given that 0 - d*f**4 - 2/9*f + 2/9*f**3 + 2/3*f**2 = 0.
-1, 0, 1/3, 1
Let x(m) = m**3 + 7*m**2 + 10*m + 3. Let j be x(-5). Suppose -j*k + 36 - 27 = 0. Determine q, given that -7*q**3 + 4*q**2 - 13*q**3 - 2*q**k + 0*q**2 = 0.
0, 2/11
Factor -41/3*p**2 - 26*p - 1/3*p**3 + 0.
-p*(p + 2)*(p + 39)/3
Let b(q) = -q + 1. Let v(h) = 3*h**2 - 36*h + 75. Let x(g) = -g**2 + 4. Let r be x(-1). Let z(a) = r*b(a) - v(a). Let z(t) = 0. Calculate t.
3, 8
Let l(i) be the third derivative of i**8/10080 - i**7/1890 + i**6/1080 + 121*i**4/24 - 39*i**2 + i. Let z(x) be the second derivative of l(x). Factor z(j).
2*j*(j - 1)**2/3
Suppose -3*n - 441 = -399. Let z(b) = -27*b - 378. Let k be z(n). Factor -3*w**3 + 32/3 - 1/3*w**4 + k*w - 22/3*w**2.
-(w - 1)*(w + 2)*(w + 4)**2/3
Let v(p) be the second derivative of -p**3 + 1/18*p**4 - 16 - 2*p + 14/3*p**2. Find a, given that v(a) = 0.
2, 7
Suppose -630*c = -634*c + 232. Let r = -56 + c. Let 0*l + 0 + 3/2*l**r + 3/4*l**3 = 0. What is l?
-2, 0
Suppose -176870 - 180*m**2 + 176810 + 64*m**2 - 7*m**3 - 169*m = 0. Calculate m.
-15, -1, -4/7
Let n be (6/8)/(7/(-7))*12/(-81). Let i(l) be the first derivative of n*l**3 + 0*l - 11 + 0*l**2 + 0*l**4 - 1/15*l**5. Factor i(h).
-h**2*(h - 1)*(h + 1)/3
Let d(y) = y**3 - y**2 - 12*y + 3. Let r be d(4). Suppose -800*o - 1540*o**3 - 4*o**4 - 90*o**2 - 150*o**2 + 1612*o**r = 0. What is o?
-2, 0, 10
Factor -2*z**3 - 146*z**3 + 35*z**2 + 36*z**4 - 3*z**4 + 36*z - 11*z**3 + 133*z**2.
3*z*(z - 3)*(z - 2)*(11*z + 2)
Factor -104 + 3362*s - 3*s**2 + 2790*s + 71*s**2 - 5276*s.
4*(s + 13)*(17*s - 2)
Let b(g) = 10*g**3 - 14*g**2 - 34*g - 16. Suppose 27*m - 20*m + 35 = 0. Let u(p) = -8*p**3 + 14*p**2 + 33*p + 16. Let z(f) = m*b(f) - 6*u(f). Factor z(a).
-2*(a + 1)*(a + 2)*(a + 4)
Let d(c) be the second derivative of 64*c**7/21 - 376*c**6/15 + 359*c**5/5 - 202*c**4/3 - 88*c**3/3 + 16*c**2 + 3413*c. Let d(p) = 0. Calculate p.
-1/4, 1/8, 2
Let b(n) be the first derivative of -n**6/50 - 3*n**5/100 + n**4/5 + 2*n**3/5 - 18*n - 130. Let a(y) be the first derivative of b(y). Let a(t) = 0. What is t?
-2, -1, 0, 2
Let i = 2065 + -20649/10. Let c(r) be the second derivative of -3*r**2 - 1/6*r**4 + i*r**5 - 5/3*r**3 + 8*r + 0. Factor c(x).
2*(x - 3)*(x + 1)**2
Let k = 95688/22165 - 16/1705. Let 32/13*d + 2/13*d**5 + 0 - 18/13*d**4 - 72/13*d**2 + k*d**3 = 0. What is d?
0, 1, 2, 4
Let k(z) be the second derivative of -3/7*z**3 + 1/4*z**4 - 2/35*z**5 - 8*z + 0*z**2 - 1 + 1/210*z**6. Find b, given that k(b) = 0.
0, 2, 3
Let x = 1/2295 - -2293/4590. Let d(r) be the first derivative of -1/6*r**3 - 1/2*r**2 - x*r - 1. Factor d(z).
-(z + 1)**2/2
Let c(q) be the third derivative of q**6/1140 + q**5/190 - 65*q**4/114 - 1290*q**2. Suppose c(w) = 0. Calculate w.
-13, 0, 10
Let y(c) = -685*c - 4791. Let j be y(-7). Let x(w) be the second derivative of 1/5*w**2 + 0 + 1/10*w**3 + 14*w + 1/60*w**j. Determine i, given that x(i) = 0.
-2, -1
Solve 92/7*z + 0 - 88/7*z**2 - 4/7*z**3 = 0.
-23, 0, 1
Suppose -18*o + 52 - 86 = -34. Solve o - 36/7*f**2 + 3*f**4 - 12/7*f + 27/7*f**3 = 0.
-2, -2/7, 0, 1
Solve 3*z**4 + 1587 - 545*z + 144*z**3 + 1718*z**2 - 116*z**2 + 3857*z + 259*z**2 + 5*z**2 = 0 for z.
-23, -1
Find l such that -98*l**2 - 5*l**3 + 50*l**2 - 270*l - 15*l**2 - 12*l**2 - 200 = 0.
-10, -4, -1
Suppose t + 12 = -5*i, -47*t - i = -50*t + 12. Let d(y) be the first derivative of -32*y**t - 256*y - 128*y**2 + 47 - 1/5*y**5 - 4*y**4. Factor d(s).
-(s + 4)**4
Let x = 413267/221385 + -1/14759. Find r such that -x*r**4 - 40/3*r - 2/15*r**5 - 232/15*r**2 - 122/15*r**3 - 64/15 = 0.
-8, -2, -1
Find b, given that -8/3*b**2 + 98*b - 72 = 0.
3/4, 36
Let v(b) = b**5 + b**4 - b - 1. Let h(g) = -151*g**4 + 426*g**3 - 324*g**2 - 2*g + 51. Let q(c) = h(c) - 3*v(c). What is y in q(y) = 0?
-54, -1/3, 1
Let h(s) = 28*s - 8. Let x be h(1). Suppose 3*o = -29*b + 25*b + x, -2*o = 4*b - 16. Factor -1/8*a + 1/2*a**b + 0.
a*(4*a - 1)/8
Let t = -6117/25 + 6147/25. Factor -t + 2/5*s + 4/5*s**2.
2*(s - 1)*(2*s + 3)/5
Solve -2/5*s**3 - 88/5*s + 26/5*s**2 + 64/5 = 0 for s.
1, 4, 8
Solve -73030/7*d - 444/7*d**2 + 897800/21 - 2/21*d**3 = 0.
-335, 4
Let b = -636 - -646. Let -b*f**2 - 6*f**3 + 2*f + 13*f**3 - f + 5*f**4 - 5*f + 2*f**2 = 0. What is f?
-2, -2/5, 0, 1
Suppose 0 = -3*u + 3*x + 6, -5*x - 7 - 3 = 3*u. Factor 0 - 37*n**3 + u + 5*n**2 + 32*n**3 + 10*n.
-5*n*(n - 2)*(n + 1)
Let u = 42986762/5970385 + 2/1194077. Factor 2/5*v**3 + 74/5*v - 8*v**2 - u.
2*(v - 18)*(v - 1)**2/5
Suppose 0 = -2*p - 5*q - 10, -1 = 3*p - 2*q + 6*q. Factor 5*b**3 - p*b - 5*b**2 - 56*b**2 - 115 + 176*b**2.
5*(b - 1)*(b + 1)*(b + 23)
Let v(x) be the second derivative of -x**5/30 + 397*x**4/6 - 157609*x**3/3 + 62570773*x**2/3 + 1591*x. Factor v(d).
-2*(d - 397)**3/3
Let a(g) = g + 3. Let i be a(-3). Suppose j + 1 = -5*y, -4*j - 89 = -4*y - 85. Determine t, given that i*t**4 + 0*t + 2/3*t**5 + 0 + y*t**2 - 2/3*t**3 = 0.
-1, 0, 1
Let q(j) be the second derivative of 2*j**5/15 + 991*j**4/72 + 7657*j**3/18 - 961*j**2/12 + j + 72. Find f such that q(f) = 0.
-31, 1/16
Suppose 0 = -n - 11*n - 0*n. Suppose 2*p = -15*b + 19*b - 16, n = p - b + 3. Factor 0*l + 0 - 2/13*l**4 + 0*l**p - 4/13*l**3.
-2*l**3*(l + 2)/13
What is s in 32/3*s + 2/3*s**2 - 160/3 = 0?
-20, 4
Let p(t) = -11*t**3 - 61*t**2 + 382*t. Let b(u) = 14*u**3 + 60*u**2 - 386*u. Let h(k) = -3*b(k) - 4*p(k). Factor h(z).
2*z*(z - 5)*(z + 37)
Let w(f) be the second derivative of 0*f**2 - 1/3*f**4 - 1 - 4/3*f**3 - 71*f. What is b in w(b) = 0?
-2, 0
Suppose 0 = -d + 117 - 2. Determine t so that 366*t + t**2 - 169*t - 150*t - d*t + 1156 = 0.
34
Let t(n) be the second derivative of n**4/6 - 655*n**3/3 - 656*n**2 - 8*n - 4. Find b such that t(b) = 0.
-1, 656
Let o(c) be the first derivative of -17*c**3/12 - 67*c**2/8 + 21*c + 1477. Factor o(t).
-(t - 1)*(17*t + 84)/4
Let t(n) be the third derivative of -n**6/60 + 13*n**5/20 - 27*n**4/4 - 91*n**3/6 - 1523*n**2 + 2. Factor t(c).
-(c - 13)*(c - 7)*(2*c + 1)
Let w(u) be the third derivative of -320*u**5/21 + 760*u**4/7 - 2166*u**3/7 + u**2 - 221*u + 5. Determine j so that w(j) = 0.
57/40
Let o be 7 + ((-57)/90 - 6) + 8/60. Let r(b) be the first derivative of 1/24*b**4 + 9/4*b**2 + 9/2*b + o*b**3 + 11. Factor r(t).
(t + 3)**3/6
Let w(t) be the third derivative of -t**6/60 - 43*t**5/2 - 34561*t**4/4 + 104329*t**3/3 - 12*t**2 + 4. Factor w(k).
-2*(k - 1)*(k + 323)**2
Let c(n) be the first derivative of 0*n - 10/19*n**3 + 66 - 7/38*n**4 - 2/95*n**5 - 9/19*n**2. Factor c(j).
-2*j*(j + 1)*(j + 3)**2/19
Let x(h) = h**3 - 31*h**2 + 27*h + 90. Let c be x(30). Factor c*q + 0 + 3/5*q**2 + 9/5*q**3.
3*q**2*(3*q + 1)/5
Suppose -25*d = -26*d - 3*w + 10, 5*w + 9 = 2*d. Let j(z) = 2*z**2 - 8*z - 38. Let r be j(d). Factor 2/11*y**r + 0 + 4/11*y**2 + 6/11*y**3 + 0*y.
2*y**2*(y + 1)*(y + 2)/11
Let y be (-6)/66 + 1360/440. Factor 5/3*v**4 + 5*v**y + 0*v + 0 + 10/3*v**2.
5*v**2*(v + 1)*(v + 2)/3
Let l(g) be the first derivative of g**5 + 15/4*g