t m(f) be the third derivative of f**8/462 - 37*f**7/1155 - 13*f**6/220 + 254*f**5/165 - 175*f**4/33 + 48*f**3/11 + 2*f**2 + 965. Solve m(l) = 0.
-4, 1/4, 2, 9
Let m(b) be the third derivative of 15*b**8/448 + 23*b**7/12 - 135*b**6/32 + 37*b**5/24 - 3882*b**2. Determine n so that m(n) = 0.
-37, 0, 2/9, 1
Let y be 4*(240/34 + 84/(-16 + 4)). Determine n so that y - 10/17*n**2 - 4/17*n**3 - 2/17*n = 0.
-2, -1, 1/2
Let t(p) be the second derivative of -p**4/15 - 892*p**3/15 - 99458*p**2/5 - 2*p + 4092. Factor t(r).
-4*(r + 223)**2/5
Suppose -3/2*o**4 + 132 - 81/2*o**2 + 21*o**3 - 111*o = 0. What is o?
-2, 1, 4, 11
Factor 0*d**2 - 797 + 4*d**2 + 61*d + 107 + 624*d + d**2.
5*(d - 1)*(d + 138)
Let l(n) be the second derivative of -8*n**2 + 48*n - 1/12*n**4 - 4/3*n**3 - 1. Factor l(y).
-(y + 4)**2
Suppose 11*c - c - 24370 = 0. Let -56 - c*j + 24*j**2 + 2401*j - j**3 + 5*j**3 = 0. Calculate j.
-7, -1, 2
Let g(k) be the first derivative of 5*k**2 - 46 - 5/3*k**3 + 40*k. Factor g(z).
-5*(z - 4)*(z + 2)
Let q = -39 - -42. Let m be -3*q*(-5)/3. Let 2*b**4 + 3*b**4 - 26*b + 16*b - m*b**2 = 0. What is b?
-1, 0, 2
Suppose 30 = 14*t + 2. Let r be (-3)/((-27)/t) + (-1105)/(-2925). Factor 0 + 9/5*w**3 + 6/5*w**2 + r*w**4 + 0*w.
3*w**2*(w + 1)*(w + 2)/5
Let i(y) = 2*y**5 + 101*y**4 + 2496*y**3 - 5409*y**2 + y - 1. Let r(h) = h**5 - h**4 - h**2 + h - 1. Let w(p) = i(p) - r(p). Factor w(x).
x**2*(x - 2)*(x + 52)**2
Suppose 10*q = 13*q, -3*r + 4*q = -9. Let 206*u**2 + 27*u**4 + 576*u**r + 379*u**2 + 240*u + 147*u**2 = 0. What is u?
-20, -2/3, 0
Suppose 70 = 7*v - 2*v + 5*t, 4*v + 2*t = 52. Let h be ((-32)/4)/(-16) - (-26)/v. Factor h - 8/3*m + 2/3*m**2.
2*(m - 2)**2/3
Let l(j) be the second derivative of -j**5/10 - 871*j**4 - 3034564*j**3 - 5286210488*j**2 + 2314*j. Factor l(f).
-2*(f + 1742)**3
Suppose 20*a + 24 = 104. Suppose 6*u = -u + a*u. Determine s so that 3/2*s**2 - 3/2*s + u = 0.
0, 1
Solve -8*v + 12/5*v**5 + 0 - 76/5*v**4 + 108/5*v**2 + 12*v**3 = 0 for v.
-1, 0, 1/3, 2, 5
Let x(v) be the first derivative of 17*v**2 + 0*v + 2/3*v**3 + 53. Find j, given that x(j) = 0.
-17, 0
Let w(x) = 10*x**2 - 101*x + 10. Let t(q) = q**2 - 5*q - 74. Let a be t(-7). Let h be w(a). Factor h + 10/11*z**3 - 6/11*z**2 - 18/11*z - 2/11*z**4.
-2*z*(z - 3)**2*(z + 1)/11
Let r(n) be the first derivative of -n**4/4 - 9*n**3 - 195*n**2/2 - 425*n + 1185. Factor r(z).
-(z + 5)**2*(z + 17)
Let p = 9146127/938770 - -5/26822. Let i = p + 67/5. Factor -136/7*y + 36*y**2 + i*y**3 + 16/7.
2*(y + 2)*(9*y - 2)**2/7
Suppose -338*w = -192*w. Factor 0 + w*i + 2*i**2 + 4*i**3 - 9/2*i**5 - 3/2*i**4.
-i**2*(i - 1)*(3*i + 2)**2/2
Suppose 5 = z - 0, -22 = -4*b - 2*z. Let i be ((-1)/(0 + b))/((-2)/18). Factor 12*y**3 - 4*y**4 - 8*y**3 - 16*y**i.
-4*y**3*(y + 3)
Let a(h) be the second derivative of -3*h**7/14 + 209*h**6/10 + 4233*h**5/20 + 2487*h**4/4 + 796*h**3 + 456*h**2 - h + 444. Let a(x) = 0. What is x?
-4, -1, -1/3, 76
Let p(c) be the second derivative of 2*c**6/15 - c**5/5 - 4*c**4/3 + 8*c**3/3 + 137*c - 14. Suppose p(j) = 0. What is j?
-2, 0, 1, 2
Let q(o) be the third derivative of -o**5/15 - 191*o**4/24 + 8*o**3 + 4*o**2 + 382. Solve q(c) = 0.
-48, 1/4
Let k(m) be the third derivative of 0*m + 0 + 0*m**3 + 14*m**2 + 7/270*m**5 - 1/54*m**4. Factor k(r).
2*r*(7*r - 2)/9
Let n = 389 + -501. Let l be 2/16 + (-2)/n. Find s such that 0 - 3/7*s**2 + l*s**3 - 4/7*s = 0.
-1, 0, 4
Let w(d) be the third derivative of 7/12*d**4 + 9*d - 5*d**2 + 1/120*d**5 + 49/3*d**3 + 0. Determine k so that w(k) = 0.
-14
Let v be (-15)/5 + 26*(-15)/(-60) + 7. Factor -3*u + 0 + v*u**2.
3*u*(7*u - 2)/2
Let v(i) be the second derivative of i**7/420 + i**6/80 - i**4/12 - 3*i**2 - 92*i. Let f(d) be the first derivative of v(d). Factor f(q).
q*(q - 1)*(q + 2)**2/2
Let f be (-5984)/(-238) - (-6 + 31). Let 10/7*b**4 - f - 11/7*b**3 + 11/7*b - 9/7*b**2 = 0. What is b?
-1, 1/10, 1
Suppose 22*r + 8 = 52. Find u, given that 27*u + 27*u + 2*u**3 + 9*u**2 - 54 - 31*u**2 + 4*u**r = 0.
3
Suppose -4*g = -11 + 35. Let o = g - -8. Determine v so that -2*v**2 + 4*v**4 - 2*v + 0*v**o + 2*v**3 - 2*v**4 = 0.
-1, 0, 1
Suppose 5*n - 5*g + 11 = -14, 0 = 3*n - 5*g + 25. Let d(v) = 2*v**2 - 2*v. Let t be d(n). Factor -p**3 + 1/3*p**5 + 1/3*p**4 - 5/3*p**2 - 2/3*p + t.
p*(p - 2)*(p + 1)**3/3
Factor -i**3 - 35*i + 80*i**2 - 51*i**2 + 45 - 28*i - 10*i**2.
-(i - 15)*(i - 3)*(i - 1)
Find z such that 1/5*z**5 - 1/5*z**4 + 0 + 112/5*z**2 + 0*z - 58/5*z**3 = 0.
-8, 0, 2, 7
Let v = 64 + -62. Suppose 3*w + 5 - 31 = -4*m, -4*m = -v*w - 16. Factor -2 - 1/2*r**w + 2*r.
-(r - 2)**2/2
Let y(c) = 3*c**3 - 73*c**2 - 46*c - 97. Let a be y(25). Let g(n) be the first derivative of 5/16*n**4 + 7 - 15/8*n**2 + 5/6*n**a + 0*n. Factor g(t).
5*t*(t - 1)*(t + 3)/4
Let l(d) be the first derivative of d**5/5 - 99*d**4/4 - 101*d**3 - 305*d**2/2 - 102*d + 278. Factor l(s).
(s - 102)*(s + 1)**3
Let s(l) = 6*l**3 - 3*l**2 - l + 2. Let v be s(1). Let r = 3 + 0. Let -r*y**4 + 16*y**3 + 80*y**2 - 36 - 72*y**2 - 48*y + 0*y**v - y**4 = 0. What is y?
-1, 3
Suppose l - 5*l + 160 = 0. Let k = l - 38. Solve 19 + 6*m**2 - 3*m**5 + m**3 - 6*m**4 + k*m**3 - 19 = 0 for m.
-2, -1, 0, 1
Let k be 2016/210*(20/15 - 0). Determine t, given that -8/5*t**4 + k*t**3 - t**5 + 53/5*t - 2 - 94/5*t**2 = 0.
-5, 2/5, 1
Factor -458/3*w + 2/3*w**2 + 152.
2*(w - 228)*(w - 1)/3
Let -33800*z - z**5 - 41*z**4 - z**5 + 2337*z**2 - 362*z**3 + 3937*z**2 - 43*z**4 + 4646*z**2 = 0. What is z?
-26, 0, 5
Factor 81*h - 27*h**3 + 303*h - 5013165*h**4 - 360*h**2 + 5013168*h**4.
3*h*(h - 16)*(h - 1)*(h + 8)
Let y(v) be the second derivative of v**4/72 - 67*v**3/36 - 17*v**2/3 + 11*v - 9. Solve y(q) = 0 for q.
-1, 68
Let l(y) be the third derivative of -y**7/560 - y**6/80 - 3*y**5/80 - y**4/16 - y**3/16 + 116*y**2. Factor l(h).
-3*(h + 1)**4/8
Let r(q) be the first derivative of -1/2*q**5 - 71 + 5/2*q + 0*q**3 + 5/2*q**2 - 5/4*q**4. Factor r(i).
-5*(i - 1)*(i + 1)**3/2
Let s(t) be the third derivative of t**7/350 + 203*t**6/300 - 1943*t**5/300 + 1187*t**4/60 - 28*t**3 + 2*t**2 - 4067*t. Suppose s(j) = 0. What is j?
-140, 2/3, 1, 3
Let c(l) = -2*l**2 + 5*l + 5. Let u be c(0). Suppose 9 = 3*f - 0, -25 = -u*w - 5*f. Factor -1/2 + 5/4*j + 1/4*j**3 - j**w.
(j - 2)*(j - 1)**2/4
Let h be (3/12)/(6*4/7416). Let a = h - 4009/52. Factor -6/13*u**2 - a - 2/13*u**3 - 6/13*u.
-2*(u + 1)**3/13
Let n be (((-864)/30)/8)/(1/(-5)). Let -n*y**3 - 8*y**4 - 1471*y + 1483*y - 5 + 5 + 2*y**2 = 0. Calculate y.
-2, -1, 0, 3/4
Suppose -7*k = -3*k + 2*m - 98, 0 = -4*k + 5*m + 91. Factor -3*s**3 + k*s**4 - 21*s**4 - 1 - 2*s**2 + 2*s**5 + 3*s - 3*s**5 + s**3.
-(s - 1)**4*(s + 1)
Let k = -2829 + 2834. Let b(j) be the third derivative of -8*j**2 - 1/240*j**6 + 0*j - 1/10*j**k - 3/4*j**4 + 0*j**3 + 0. Factor b(u).
-u*(u + 6)**2/2
Let i(d) = -d**3 - 9*d**2 - 3*d + 42. Let r(c) = -8*c**2 + c - 1. Let n be r(1). Let j be i(n). Factor 8/21*k - 2/7 - 2/21*k**j.
-2*(k - 3)*(k - 1)/21
Let i(g) = -2*g**4 - 2*g**3 + 1. Let n(b) = -76*b**4 - 72*b**3 - 12*b**2 - 32*b + 24. Let t(l) = 40*i(l) - n(l). Suppose t(p) = 0. What is p?
-2, -1, 2
Factor 878188*t - 6739*t**2 + 1132880 + 5*t**3 + 249932*t + 1984*t**2.
5*(t - 476)**2*(t + 1)
Let k(x) = x**3 + 241*x**2 - 221*x + 5085. Let n be k(-242). Factor 2*m - 1/3*m**n + 1/3*m**2 + 0.
-m*(m - 3)*(m + 2)/3
Let d be 69/18 - (-42)/252. Let q(l) be the first derivative of -16/5*l**d - 18/5*l**2 + 0*l + 2/5*l**5 + 38/5*l**3 - 4. Factor q(p).
2*p*(p - 3)**2*(5*p - 2)/5
Suppose -3*f = -f - 36. Let c be (-8*3/(-18))/(12/f). Factor 28*r**3 - 3 - 37*r**3 + 21*r**c - 9.
-3*(r - 2)*(r - 1)*(3*r + 2)
Let t(p) = -15*p**3 - 942*p**2 + 1905*p - 1008. Let s(k) = -14*k**3 - 943*k**2 + 1902*k - 1010. Let c(l) = 12*s(l) - 13*t(l). What is a in c(a) = 0?
-328/9, 1
Factor 118*q - 214*q + 3641 - 4793 + 30*q**2 + 3*q**3.
3*(q - 6)*(q + 8)**2
Let 15/7*c**2 - 24/7*c + 9/7 = 0. Calculate c.
3/5, 1
Let d(y) be the first derivative of 2*y**3/3 - 19*y**2 + 367. Factor d(b).
2*b*(b - 19)
Let o(x) be the second derivative of x**7/105 + 13*x**6/75 + 29*x**5/25 + 53*x**4/15 + 17*x**3/3 + 5*x**2 - 598*x. Factor o(r).
2*(r + 1)**3*(r + 5)**2/5
Let l(c) be the first derivative of 3/8*c**5 + 25*c - c**3 + 6*c**2 - 44 - 1/20*c**6 - 3/4*c**4. Let f(k) be the 