0) + (-2)/43. Factor -c*v**3 + 25/3 - 35/3*v + 11/3*v**2.
-(v - 5)**2*(v - 1)/3
Let m be (17 + -20)/((-2)/(-3))*-18. Let j be ((-4)/(-12))/(45/m). Suppose -9/5*v**3 + 12/5*v + 0*v**2 - j*v**4 + 0 = 0. Calculate v.
-2, 0, 1
Let u(s) = -2*s**5 - s**4 + 51*s**3 + 83*s**2 + 68*s + 14. Let b(r) = 2*r**5 - 50*r**3 - 82*r**2 - 66*r - 14. Let o(l) = 7*b(l) + 6*u(l). Factor o(n).
2*(n - 7)*(n + 1)**4
Let z(p) be the third derivative of -p**8/504 + 41*p**7/315 - 239*p**6/90 + 599*p**5/45 - 1121*p**4/36 + 361*p**3/9 + 622*p**2. Factor z(r).
-2*(r - 19)**2*(r - 1)**3/3
Let a be (2*3/14538)/1. Let o = 29081/12115 - a. Suppose -12/5*f**2 - o*f - 3/5*f**5 + 6/5*f**4 + 0 + 9/5*f**3 = 0. Calculate f.
-1, 0, 2
Let y(x) be the first derivative of -48*x - 16*x**2 - 4/3*x**3 + 88. Factor y(o).
-4*(o + 2)*(o + 6)
Factor -6*d + 252/13 - 2/13*d**2.
-2*(d - 3)*(d + 42)/13
Let y(r) = 435*r**3 + 915*r**2 + 450*r - 5. Let f(d) = d**4 + 436*d**3 + 923*d**2 + 452*d - 6. Let l(q) = -5*f(q) + 6*y(q). Factor l(w).
-5*w*(w - 88)*(w + 1)**2
Let r be (-1392)/144 - (-10 - 1). Let j(n) be the first derivative of -2*n**2 - r*n**3 + 0*n + 10. Find m such that j(m) = 0.
-1, 0
Let w(t) be the third derivative of -t**8/336 - t**7/42 - t**6/40 + t**5/12 + t**4/6 - 9*t**2 + 340*t. Factor w(d).
-d*(d - 1)*(d + 1)**2*(d + 4)
Let u(b) be the first derivative of b**4/3 - 8*b**3 + 22*b**2 + 52*b + 60. Let v(m) be the first derivative of u(m). Factor v(t).
4*(t - 11)*(t - 1)
Suppose 3*k + 4*v = 7, 3*k + v - 1 = 12. Let -1551*w**3 - 2*w**4 + 1555*w**3 + 2*w**4 - 4*w**k = 0. Calculate w.
-1, 0, 1
Let 83*w**2 - 2451 + 10*w**3 - 122*w**2 - 1008*w**2 + 1981 + 92*w**2 + 1415*w = 0. What is w?
1/2, 1, 94
Suppose 116*b - 9212 = 112*b + v, 0 = 4*b - 2*v - 9208. What is j in -18432 + b*j - 96*j**2 + 4/3*j**3 = 0?
24
Let u(p) be the first derivative of -p**4/2 - 78*p**3 - 3240*p**2 + 21600*p + 36. Determine m, given that u(m) = 0.
-60, 3
Let u(l) = -4*l**3 + 191*l**2 + 1343*l + 1120. Let m(o) = 3*o**3 - 92*o**2 - 671*o - 560. Let z(x) = 7*m(x) + 4*u(x). Factor z(r).
5*(r + 1)*(r + 7)*(r + 16)
Let a(t) be the third derivative of t**6/30 + 2*t**5/15 - 115*t**4/6 + 728*t**3/3 + 3*t**2 - 83*t. Factor a(i).
4*(i - 7)*(i - 4)*(i + 13)
Let f(t) = -t**2 - 14*t + 32. Let k be f(-16). Let z = 2 + k. Find p such that -5*p + 3*p**2 - 15 + 5*p**z + 2*p**2 = 0.
-1, 3/2
Let t = 148/127 - 2473/2667. Let l(x) be the first derivative of 1/28*x**4 - t*x**3 - x - 13/14*x**2 - 25. Find h, given that l(h) = 0.
-1, 7
Suppose 3*r = 8*r - 370. Let s = r - 42. Determine n so that -13 + s*n - 62 - 2*n - 3*n**2 + 0*n**2 = 0.
5
Let j be (-44200)/(-58786) - 4/(-38). Factor 2/7*r**2 + 4/7 - j*r.
2*(r - 2)*(r - 1)/7
Factor 9032/5*o - 2/5*o**2 - 10197128/5.
-2*(o - 2258)**2/5
Let q(c) = c + 3. Let j(x) = -5*x**2 + 40*x + 65. Let b = 17 - 42. Let w(a) = b*q(a) + j(a). Factor w(n).
-5*(n - 2)*(n - 1)
Let x = -13163 - -13165. Let p(v) be the second derivative of -20*v**2 + 0 - 5/12*v**4 + x*v - 5*v**3. Find h, given that p(h) = 0.
-4, -2
Let d = 40 - 40. Suppose 9*x - 263 + 92 = d. What is l in -12*l - 19*l**5 - 5*l**4 - 40*l**2 + 15*l**5 - x*l**4 - 48*l**3 = 0?
-3, -1, 0
Let q = 215506/3 + -71824. Determine m, given that 28/3*m**3 + q*m**2 + 10/9*m**4 + 28/9*m + 0 = 0.
-7, -1, -2/5, 0
Let v(m) be the first derivative of 1/80*m**5 + 0*m**4 + 4*m - 3/4*m**2 - 7/24*m**3 + 20. Let o(c) be the first derivative of v(c). Solve o(j) = 0.
-2, -1, 3
Let b(h) be the first derivative of 3*h**2 + 0*h - 177 - 2/25*h**5 + 13/10*h**4 + 58/15*h**3. Solve b(k) = 0.
-1, 0, 15
Suppose 4*t - 21 = 3*q, 28*t + q + 18 = 33*t. Let n be (-1 + 1)*(-2)/(-4). Factor n*z + 2/5*z**5 - 2/5*z**4 - 4/5*z**t + 0*z**2 + 0.
2*z**3*(z - 2)*(z + 1)/5
Let p = -39646 + 39648. Let u(f) be the third derivative of 1/210*f**7 + 1/30*f**6 + 0*f + 1/10*f**5 + 0 + 1/6*f**4 - 29*f**p + 1/6*f**3. Factor u(w).
(w + 1)**4
Let f(l) be the first derivative of l**5/10 - 3*l**4/2 - l**3/3 + 9*l**2 - 54*l + 104. Let o(t) be the first derivative of f(t). Solve o(c) = 0 for c.
-1, 1, 9
Let j(u) be the first derivative of 0*u + 6/5*u**2 + 2/15*u**3 - 51. Determine s so that j(s) = 0.
-6, 0
Let o(d) be the third derivative of -d**7/210 + 47*d**6/120 + d**5/5 - 137*d**4/6 - 376*d**3/3 + 7*d**2 + 143*d. Determine s, given that o(s) = 0.
-2, 4, 47
Let h(v) be the third derivative of v**8/168 - 2*v**7/315 - 17*v**6/90 + 8*v**5/45 + 7*v**4/4 + 2*v**3 + 4542*v**2. Determine m, given that h(m) = 0.
-3, -1, -1/3, 2, 3
Let s(n) = 2*n - 66. Let b be s(35). Suppose 3 + 1 = 2*r - b*x, 4*x - 4 = -2*r. Solve 2/3*o**r + 8*o + 24 = 0.
-6
Let z be (12/(-7))/((-12)/84)*122. Let p be z/3294 + ((-10)/(-3) - 0). Determine m, given that -4/3 + 2/9*m**2 - p*m**3 + 10/9*m**4 + 34/9*m = 0.
-1, 2/5, 1, 3
Let f(v) be the first derivative of v**7/126 - 11*v**5/30 + 2*v**4/3 + 5*v**3/2 + 70*v - 166. Let o(l) be the first derivative of f(l). Factor o(s).
s*(s - 3)**2*(s + 1)*(s + 5)/3
Let z(a) be the second derivative of 1/48*a**4 + 1/18*a**3 + 0 - 13/2*a**2 + 1/360*a**5 - 9*a. Let j(i) be the first derivative of z(i). Factor j(k).
(k + 1)*(k + 2)/6
Let d(x) = -9*x**2 - 515*x - 16920. Let t(y) = y**2 - y + 4. Let v(z) = 14*z - 205. Let h be v(15). Let f(u) = h*t(u) + d(u). Determine j, given that f(j) = 0.
-65
Let b(q) be the second derivative of -5*q**4/16 - 329*q**3/24 + 11*q**2/4 + 9845*q. Factor b(h).
-(h + 22)*(15*h - 1)/4
Determine p so that -2/5 - 6/5*p**2 - 6/5*p - 2/5*p**3 = 0.
-1
Suppose 4*a - 5*m - 10 = -8*m, -10 = -2*a + m. Let -1161 - a*d**4 + 1157 + 8*d**2 + 0*d**4 = 0. Calculate d.
-1, 1
Determine f, given that 59*f**2 - 117*f - 51 + 63*f - 62*f**2 = 0.
-17, -1
Let s(o) be the second derivative of -256*o**2 - 26 + 320/3*o**3 - 24*o**4 + 14/5*o**5 + o - 2/15*o**6. Suppose s(l) = 0. Calculate l.
2, 4
Suppose -135 = -4*m + 9. Factor -63*u**2 + 32*u**2 + m*u**2 + 50*u + 125.
5*(u + 5)**2
Let b(g) be the second derivative of -g**7/42 - 11*g**6/30 - 21*g**5/10 - 35*g**4/6 - 53*g**3/6 - 15*g**2/2 - g + 1722. Factor b(d).
-(d + 1)**3*(d + 3)*(d + 5)
Let l(s) be the second derivative of 0*s**3 - 1/30*s**5 - 7/45*s**6 + 8/63*s**7 + 0*s**4 + 0*s**2 - 11 - 3*s. Find d such that l(d) = 0.
-1/8, 0, 1
Let u(k) be the first derivative of -229 - 2*k**2 - 4*k - 1/3*k**3. Suppose u(h) = 0. What is h?
-2
Suppose -1/4*o**5 - 35/4*o**3 - 3*o**4 + 3*o**2 + 9*o + 0 = 0. What is o?
-6, -1, 0, 1
Let f(v) = 5*v**2 + 293*v. Let s(d) = 11*d**2 + 709*d. Let t(h) = 14*f(h) - 6*s(h). Determine w so that t(w) = 0.
0, 38
Let p(r) be the third derivative of -r**6/60 + 19*r**5/30 + 5*r**4/3 + 65*r**2 + 7. Determine z so that p(z) = 0.
-1, 0, 20
Factor 2738019 + 5*x**3 + 6*x**3 - 80*x**2 + 68804*x - 8*x**3 + 953*x**2 + 15877*x.
3*(x + 97)**3
Let k(y) = y**4 + y**3 + y**2 - y. Let b(h) = -20*h**4 - 40*h**3 - 324*h**2 + 656*h - 320. Let r(n) = -b(n) - 24*k(n). Factor r(g).
-4*(g - 10)*(g - 1)**2*(g + 8)
Let y be ((-361)/(-228))/(18/180). Factor -15*n + 5/6*n**2 - y.
5*(n - 19)*(n + 1)/6
Let y be ((-16)/(-12))/((-8)/(-1452)). Let v = y - 238. Suppose 0*f**2 + 0*f - 3/5*f**5 + 2/5*f**3 + 0 - 1/5*f**v = 0. Calculate f.
-1, 0, 2/3
Determine k so that -14*k**4 + 8*k**4 + 2*k**3 - 238*k**2 - 34*k**3 - 32*k + 182*k**2 = 0.
-2, -4/3, 0
Let c be (12/(-21))/((-14)/49 + 0). Suppose 0 = -2*p - 5*h - 4, 12*p - 11 = 7*p - c*h. Let -54 + 2*r**p + 150*r + 106/3*r**2 = 0. Calculate r.
-9, 1/3
Let a(g) be the second derivative of 1/85*g**5 + g + 1/255*g**6 + 1 - 2/51*g**3 + 0*g**2 - 1/102*g**4. Let a(y) = 0. What is y?
-2, -1, 0, 1
Let w(a) be the first derivative of -7*a**6/2 + 36*a**5/5 + 159*a**4/4 - 42*a**3 - 150*a**2 - 72*a - 557. Determine c so that w(c) = 0.
-2, -1, -2/7, 2, 3
Let m = -40791 - -122375/3. Let s = 34 + -29. Let m - s*v**2 + 13/3*v = 0. What is v?
-2/15, 1
Let d(b) be the first derivative of 7*b + 2/15*b**6 + 0*b**3 + 1/21*b**7 + 0*b**4 + 0*b**2 + 12 + 0*b**5. Let a(s) be the first derivative of d(s). Factor a(p).
2*p**4*(p + 2)
Let o(n) be the first derivative of -2/105*n**5 + 23/21*n**2 - 75 - 23/42*n**4 - 2/3*n**3 + 44/21*n. Solve o(a) = 0.
-22, -1, 1
Let k(i) be the third derivative of -i**7/70 - 9*i**6/40 - 7*i**5/20 + 45*i**4/8 - 14*i**3 + 1658*i**2. Factor k(w).
-3*(w - 1)**2*(w + 4)*(w + 7)
Suppose -1 = -5*v + 4. Let w be v/((-3)/(-14)