Factor -90/7*g**2 + 50/7*g**3 - 6*g + 14.
2*(g + 1)*(5*g - 7)**2/7
Let m(w) be the second derivative of 21/40*w**6 - 3/8*w**4 - 9/56*w**7 + 2 + 3/8*w**3 + 144*w - 3/8*w**5 + 3/8*w**2. Factor m(o).
-3*(o - 1)**3*(3*o + 1)**2/4
Let r be (6 - (4 - 43))*12/20. Let f be (-6)/r*-3*117/26. Factor f*y + 1/4*y**2 + 9.
(y + 6)**2/4
Let j be 13/(455/(-14))*-10. Let u be (-10)/25*(-50)/j. Factor -2/3*i**3 - 2/9*i**u + 0 + 2/3*i**4 + 0*i + 2/9*i**2.
-2*i**2*(i - 1)**3/9
Let p be -3 + (-4)/(95/15 + -7). Let w(k) be the first derivative of -2*k**4 + 0*k - 4/3*k**p + 2*k**2 - 19. What is l in w(l) = 0?
-1, 0, 1/2
Let j(w) = 7*w**3 - 510*w**2 - 664*w - 66. Let d(c) = -3*c**3 + 255*c**2 + 336*c + 33. Let y(z) = 9*d(z) + 5*j(z). Solve y(f) = 0.
-1, -1/8, 33
Let 0*w + 71/7*w**4 + 0*w**2 + 0 - 1/7*w**5 + 72/7*w**3 = 0. Calculate w.
-1, 0, 72
Let j(x) be the third derivative of 1/135*x**6 + 0 + 32*x + 11/108*x**4 - 2*x**2 + 2/27*x**3 + 13/270*x**5. Determine m so that j(m) = 0.
-2, -1, -1/4
Let t(h) = -h**3 - 17*h**2 - h - 10. Let n be t(-17). Let k(r) = -r**2 + 3*r + 28. Let m be k(n). What is d in m + 1/4*d**2 + d = 0?
-4, 0
Let y(p) = 2*p**2 + 278*p + 1852. Let s be y(-7). Let j(k) be the second derivative of 0*k**2 + 1/102*k**s + 0 - 46*k + 0*k**3. Factor j(g).
2*g**2/17
Let z be (18 - (-2331)/(-168))/(36/312). Factor -169/4 + 25/4*p**2 + z*p + 1/4*p**3.
(p - 1)*(p + 13)**2/4
Let z(n) be the second derivative of -n**4/3 + 40*n**3/3 + 88*n**2 - 2906*n. Factor z(k).
-4*(k - 22)*(k + 2)
Suppose 10*b = -25 + 45. Factor 3*d**b - 11664 + 209*d - 7*d**2 + 223*d.
-4*(d - 54)**2
Let g = 41411/16 + -2588. Let o(k) be the second derivative of -3/8*k**3 + 3/8*k**2 - 3/80*k**5 + g*k**4 - 33*k + 0. Solve o(c) = 0.
1
Let a(u) be the second derivative of -u**4/12 + 283*u**3/6 + 285*u**2 - 3258*u. Determine m so that a(m) = 0.
-2, 285
Let s(n) = n**2 + 3*n. Let v(u) = -9*u**2 - 210*u - 8649. Let h(m) = -24*s(m) - 3*v(m). Factor h(z).
3*(z + 93)**2
Suppose 6*z + 1042 - 1054 = 0. Determine g so that -200/3 - 40/3*g - 2/3*g**z = 0.
-10
Let m(r) be the third derivative of -7/18*r**3 - 1/72*r**4 + 7/180*r**5 + 0 + 59*r + 2*r**2 + 1/360*r**6. Factor m(p).
(p - 1)*(p + 1)*(p + 7)/3
Let k(g) be the second derivative of 0 + 1/10*g**5 + 0*g**2 - 4/3*g**3 + 0*g**4 + 8*g. Factor k(p).
2*p*(p - 2)*(p + 2)
Let f = 6322/12647 - -3/25294. Let o(y) be the second derivative of -f*y**2 + 0 + 1/12*y**4 + 1/60*y**5 - 1/18*y**3 + 31*y. Solve o(p) = 0.
-3, -1, 1
Let l(r) be the first derivative of r**3/12 + 10*r**2 + 759*r/4 - 558. Factor l(g).
(g + 11)*(g + 69)/4
Let b be 8/(16/(-114)) - (9 - 14). Let l be 4 + b/12 - (-10 + -7). Factor -l + 20/3*g - 2/3*g**2.
-2*(g - 5)**2/3
Let c(j) be the third derivative of j**8/84 + 46*j**7/105 + 38*j**6/15 - 1602*j**2. What is r in c(r) = 0?
-19, -4, 0
Let h = 483917 - 483912. Suppose -1/3*q**3 - 3*q**2 - h - 23/3*q = 0. What is q?
-5, -3, -1
Suppose 131*x + 4 = 133*x. Find j, given that -4 - 13*j**4 + 17*j**3 - 4*j**5 - 109*j + 96*j + 11*j**2 + 6*j**x = 0.
-4, -1, -1/4, 1
Suppose -199*i - 206*i - 20 = -415*i. Solve -2/13*l**2 + i - 24/13*l = 0.
-13, 1
Determine f, given that -20/7*f**5 + 152/7*f**4 + 328/7*f**2 - 52*f**3 - 96/7*f + 0 = 0.
0, 3/5, 1, 2, 4
Let h(k) be the second derivative of -119*k**4/8 + 3*k**3/2 - 411*k + 2. Factor h(x).
-3*x*(119*x - 6)/2
Let c be ((-55)/33)/(((-50)/60)/(39/26)). Factor 0 + 2/7*p**c + 2592/7*p + 144/7*p**2.
2*p*(p + 36)**2/7
Let z(h) be the third derivative of h**6/300 + 7*h**5/75 - 3*h**4/20 - 42*h**3/5 - 318*h**2. Factor z(u).
2*(u - 3)*(u + 3)*(u + 14)/5
Suppose 5*t + 137 = 242. Let s(o) be the first derivative of 1/6*o**4 + 0*o - t + 1/3*o**2 - 4/9*o**3. Factor s(j).
2*j*(j - 1)**2/3
Factor -1002 - 1166*z - 8516*z**2 + 166*z + 8518*z**2.
2*(z - 501)*(z + 1)
Let q(o) = 5*o**2 + 11*o - 7. Let n = -3062 + 3059. Let t(s) = -35*s + 3 - 18*s**2 + 3*s**2 + 17. Let g(x) = n*t(x) - 10*q(x). Determine v so that g(v) = 0.
-2, 1
Find u, given that 166/3*u**2 + 20/3*u**3 + 2/9*u**4 + 824/9*u + 128/3 = 0.
-16, -12, -1
Factor -30*t**3 + 236*t + 57*t**2 + 0 + 1/4*t**4.
t*(t - 118)*(t - 4)*(t + 2)/4
Let i(d) = -2691*d. Let b be i(0). Solve b*o - 4/5*o**2 + 4/5 = 0.
-1, 1
Let o be 14/469 + (-23520)/(-20100). Suppose 15 = 5*c + 5. Factor 1/5*z**c + 9/5 - o*z.
(z - 3)**2/5
Let z be (-423)/188*(-21)/((-567)/(-18)). What is p in -z*p - 9/2*p**4 + 0 + 9/2*p**2 + 3/2*p**3 = 0?
-1, 0, 1/3, 1
Suppose 4*a + 4 = 2*x + 14, 5*x = 5*a - 25. Determine h, given that 16*h**2 - 5*h**3 - 4*h**5 + 28*h**3 + a*h**5 - 16*h**4 + 8*h**5 - 11*h**3 - 16*h = 0.
-1, 0, 1, 2
Factor 440*v**2 + 496*v + 16*v**2 + 9*v**3 + 320 - 252*v**2.
(v + 20)*(3*v + 4)**2
Suppose -309*q = -605*q + 592. Factor 10/3*s**4 + 1/2*s**3 + 0*s + 0 - 1/3*s**q.
s**2*(4*s - 1)*(5*s + 2)/6
Let o(i) be the first derivative of -i**3/5 + 375*i**2 - 50. Find d, given that o(d) = 0.
0, 1250
Let p be (-774)/(-12) + (16 + -27 - 4). Suppose -p - 3/2*g**2 - 51*g = 0. What is g?
-33, -1
Let z(a) = -a**3 + 53*a**2 - 700*a - 52. Let n be z(26). What is w in -5/3*w**2 - 40/3*w + n = 0?
-8, 0
Let w(x) be the third derivative of 4*x**7/105 + 61*x**6/60 + 89*x**5/10 + 259*x**4/12 + 49*x**3/3 - 2*x**2 - 401. Solve w(s) = 0 for s.
-7, -1, -1/4
Suppose 35*m - 34*m = -5*b + 50, 2*b = 12. Let v(l) be the first derivative of -1/4*l**4 - l**3 + 0*l**2 + 4*l + m. Solve v(j) = 0 for j.
-2, 1
Let r(m) be the third derivative of -m**5/30 + 344*m**4 - 1420032*m**3 - 6*m**2 - 174*m. Factor r(i).
-2*(i - 2064)**2
Let g be 672/(-16) + (-24)/(-3). Let q be g/(-51) + (-16)/(-12). Let 8/17*i + 8/17 - 2/17*i**3 - 2/17*i**q = 0. Calculate i.
-2, -1, 2
Suppose -51*c - 30*c + 58 = -104. Factor 2 + 2/9*z**c - 4/3*z.
2*(z - 3)**2/9
Suppose -p + 50 = 4*p + t, -3*t + 40 = 4*p. Let v be 16 + (2/p - 4/20). Factor -5*x + 3*x**2 + 3*x - v - x**3 + 16.
-x*(x - 2)*(x - 1)
Let x(h) be the first derivative of 12/7*h**3 - 2/21*h**6 - 3/7*h**4 + 0*h**2 - 11 + 0*h - 4/7*h**5. Determine q so that x(q) = 0.
-3, 0, 1
Let a(q) = q**2 + 1617*q + 1616. Let u be a(-1). Factor 0 + u*s + 1/2*s**4 - 17*s**3 + 289/2*s**2.
s**2*(s - 17)**2/2
Factor 3*o - 4*o**5 + 3*o**3 + 3*o**3 + 3*o**5 - 10*o**2 + 5*o**2 + 13*o**2.
-o*(o - 3)*(o + 1)**3
Let n(z) be the first derivative of 51*z**2 - 4*z - 10. Let s be n(1). Factor -15*f**2 - s*f - 97*f + 186*f.
-3*f*(5*f + 3)
Let q(y) be the second derivative of -32/3*y**2 - 47/3*y**4 - 1/7*y**7 + 7/6*y**5 + 16/15*y**6 - 64/3*y**3 + 0 - 133*y. Suppose q(b) = 0. What is b?
-2, -1/3, 4
Factor 3/5*l**2 - 12/5 - 12/5*l + 3/5*l**3.
3*(l - 2)*(l + 1)*(l + 2)/5
Suppose 36*t - 29*t = -10339. Let b = -1473 - t. Let -1/3*m**3 + 1/3*m + 1/9*m**2 + 0 - 1/9*m**b = 0. What is m?
-3, -1, 0, 1
Solve -324*y**2 - 378 + 110*y - 388 + 14*y**4 + 48*y + 138*y + 878 + 46*y**3 = 0.
-7, -2/7, 2
Factor 15*m**4 - 427215 - 12*m**4 - 415*m**3 + 4063818 - 2505*m**3 + 390882*m**2 + 736*m**3 + 2404584*m.
3*(m - 367)**2*(m + 3)**2
Let b = 73 + -71. Determine m so that -29*m - 4*m**3 + 28*m**b - 22*m - 23*m + 26*m = 0.
0, 3, 4
Suppose 0 = -3*q + 7*q - t - 15, 0 = 2*q + t - 15. Suppose -5*u + 29 + 11 = q*l, 15 = 3*u. Let 15*c**2 + 10 - 5 + 160*c**3 - 165*c**l - 15*c = 0. Calculate c.
1
Let v = -227 + 231. Find o such that -10*o**3 + 3*o**v - 2*o**3 - 56*o**2 + 68*o**2 = 0.
0, 2
Let t be 45/(-330)*9/(81/(-420)) + -2. Determine v, given that -t*v + 0 - 6/11*v**3 + 36/11*v**2 = 0.
0, 2, 4
Let t = -186086 - -558281/3. Determine z, given that 1/3*z**2 - t*z + 22/3 = 0.
1, 22
Suppose -91*z + 1712592 - 1712410 = 0. Determine c, given that 1/4*c**z - 7/4*c + 3 = 0.
3, 4
Let r = 1691 - 1691. Let a(q) be the first derivative of -2/7*q**2 + 4/21*q**3 - 13 + r*q. Factor a(f).
4*f*(f - 1)/7
Let o = 296/77 - 36/11. Suppose -93023*y + 94 = -93026*y + 5*b, 4*y + 3*b = 68. Find g, given that 4/7*g + o*g**4 - 4/7*g**3 + 0 - 4/7*g**y = 0.
-1, 0, 1
Let -67/3*c**2 + c**3 - 17*c + 115/3 = 0. What is c?
-5/3, 1, 23
Let t(c) = 23*c**3 + 251*c**2 + 157*c - 51. Let k(s) = 22*s**3 + 254*s**2 + 164*s - 52. Let x(a) = -5*k(a) + 4*t(a). Factor x(w).
-2*(w + 1)*(w + 14)*(9*w - 2)
Suppose -2*j + 2*t = 2, 0*j + t + 11 = 4*j. Let l be (6/(-12))/(3/(-24)). Solve 390*u**2 + 1 + 245*u**l + 560*u**3 + 80*u + 0 + j = 0.
-1, -1/7
Factor 726/13 + 2/13*z**3 + 974/13*z + 250/13*z**2.
2*(z + 1)*