+ 2*q + 1/18*q**4 - 13 - 53/27*q**3. Factor i(f).
2*(f - 18)*(3*f + 1)/9
Let j(x) = 88*x**2 + 176*x - 504. Let s(u) = 13*u**2 + 25*u - 72. Let t(b) = 10*j(b) - 68*s(b). Factor t(o).
-4*(o - 12)*(o - 3)
Let f(j) = 26*j + 54. Let b(m) = m**2 + 53*m + 107. Let r = -275 + 273. Let o(h) = r*b(h) + 5*f(h). Let o(i) = 0. What is i?
-2, 14
Let a(c) be the first derivative of -c**4/22 - 16*c**3/3 - 340*c**2/11 - 672*c/11 - 986. Factor a(i).
-2*(i + 2)**2*(i + 84)/11
Suppose -145*u = -142*u + 162. Let n be 100/16*9/(u/(-4)). Factor -50/3 - n*b**4 - 143/2*b**2 - 230/3*b + 115/3*b**3.
-(b - 5)**2*(5*b + 2)**2/6
Let i(l) be the third derivative of -l**6/48 - 443*l**5/24 - 31075*l**4/6 - 60500*l**3 - 4032*l**2 + l. Factor i(r).
-5*(r + 3)*(r + 220)**2/2
Suppose 0 = -2*n - a + 11, 1 = 4*n - 2*a - 1. Let t = 2115 + -1629. Factor t - 2/3*b**n + 18*b**2 - 162*b.
-2*(b - 9)**3/3
Let s(a) = 5*a**2 + 660*a + 109555. Let c(g) = 22*g**2 + 2639*g + 438217. Let k(f) = -2*c(f) + 9*s(f). Factor k(w).
(w + 331)**2
Let k(q) be the second derivative of -q**5/12 + 95*q**4/24 - 15*q**3 - 77*q**2/2 + 9*q. Let j(o) be the first derivative of k(o). Factor j(d).
-5*(d - 18)*(d - 1)
Let y = 302 - 274. Factor y*i**4 - 15*i**3 + i**3 + 12*i - 7*i**3 - 37*i**4.
-3*i*(i + 1)*(i + 2)*(3*i - 2)
Let s be (-115)/(-30) - 1/(-6). Let f(d) be the third derivative of 0*d**3 + 0*d - 14*d**2 + 0 + 1/120*d**6 + 1/20*d**5 + 0*d**s. Factor f(b).
b**2*(b + 3)
Let z(y) = y**2 + 9*y - 20. Let s be z(2). Suppose 76/5*b + 2/5*b**s + 722/5 = 0. What is b?
-19
Let c(z) = z**3 - 26*z**2 + 37*z + 30. Let m be c(19). Let p = 1796 + m. Factor -1/6*f**p + 0 - 1/2*f.
-f*(f + 3)/6
Let l(z) = -36*z**3 + 56*z**2 + 416*z - 370. Let t(g) = 5*g**3 - 8*g**2 - 59*g + 53. Let o(q) = -3*l(q) - 22*t(q). Solve o(h) = 0.
-4, 1, 7
Suppose 2*s - 10 = 22. Suppose 17*i - 3 = s*i. Factor b**3 + i*b - 4*b**2 - 865 + 865.
b*(b - 3)*(b - 1)
Factor 4/5*s**2 - 4/5*s**3 + 0 + 16/5*s - 1/5*s**4.
-s*(s - 2)*(s + 2)*(s + 4)/5
Suppose 75*h + 237 = 5*i + 79*h, -53 = -i + 2*h. Suppose -24*a + i = -95. Solve 7/2*r**2 + a + 22*r = 0.
-6, -2/7
Let f be (72/117)/(11/21 - 26/(-182)). Factor 2/13*v**4 + f*v**3 + 8/13 + 2*v**2 + 24/13*v.
2*(v + 1)**2*(v + 2)**2/13
Let t = -771 + 322. Let i = t - -2246/5. Factor 0 + 0*h - i*h**3 + 0*h**2 - 1/5*h**4.
-h**3*(h + 1)/5
Let u be 40/(-90)*-9 - 0. Suppose -1 = -w + 2. Solve -t**w + t**u + t + 10*t - 11*t = 0.
0, 1
Let y(t) be the second derivative of 5*t**4/36 + 85*t**3/18 + 40*t**2/3 - 661*t. Factor y(j).
5*(j + 1)*(j + 16)/3
Let h(q) be the second derivative of 0*q**3 - 2*q - 45 + 1/10*q**6 + 0*q**5 - 2*q**4 + 24*q**2. Factor h(o).
3*(o - 2)**2*(o + 2)**2
Let k be 64 - ((-15)/5)/(1/(-1)). Suppose -u - 3*l = -k, 4*l = -u - 8 + 66. Let -53*f + 4*f**2 + 87*f - u*f = 0. Calculate f.
0, 9
Let n(m) = 607*m**2 - 157*m - 71. Let r(j) = 405*j**2 - 105*j - 49. Let o(g) = 5*n(g) - 7*r(g). Factor o(a).
2*(5*a - 2)*(20*a + 3)
Determine o so that 0 - 788/3*o**3 + 78400/3*o**2 + 2/3*o**4 - 153664/3*o = 0.
0, 2, 196
Let t be (-4 + 14)*62/155. Let y(r) be the second derivative of 1/8*r**2 + 0 - 1/12*r**3 + 1/48*r**t - r. Solve y(p) = 0.
1
Let -15*m**2 + 40*m - 1101 + 619 + 657 = 0. Calculate m.
-7/3, 5
Let u(a) be the first derivative of a**7/189 - a**6/45 + a**5/30 - a**4/54 - 167*a + 71. Let l(h) be the first derivative of u(h). Factor l(o).
2*o**2*(o - 1)**3/9
Let u = 474693/2 - 237346. Factor -u*o**2 + 0 + 0*o.
-o**2/2
Let x(i) be the first derivative of i**4 - 292*i**3/3 - 300*i**2 + 1336. Find b, given that x(b) = 0.
-2, 0, 75
Let b = 102 + -98. Determine o, given that -5*o**4 + 3*o**b - o**5 + 0*o**4 - 4*o + 3*o**3 + 2*o**2 + 2*o**2 = 0.
-2, 0, 1
Factor 1812952 - 210*o**2 + 86*o**2 + 9774*o + 63*o**2 - 9773875 + 58*o**2.
-3*(o - 1629)**2
Factor 13551 + 72131 + 5*j**3 + 1170*j**2 + 69600*j + 48878.
5*(j + 2)*(j + 116)**2
Let b(j) = -325*j - 629. Let o be b(-2). Let r(n) be the second derivative of -5/2*n**3 + 0 + o*n - 5/4*n**5 + 55/12*n**4 - 1/2*n**6 + 0*n**2. Factor r(v).
-5*v*(v - 1)*(v + 3)*(3*v - 1)
Let a(i) be the third derivative of -17*i**6/20 + 53*i**5/30 - i**4/6 - 2*i**2 + 1131*i. Factor a(f).
-2*f*(f - 1)*(51*f - 2)
Let b be (-15 - -2) + (-9 - (-329)/14). Suppose b*i**2 + 12*i - 27/2 = 0. Calculate i.
-9, 1
Let q(g) = 15*g**4 - 8*g**3 - 7*g**2 - 13. Let m = 78 - 65. Let n(s) = 7*s**4 - 4*s**3 - 3*s**2 - 6. Let d(b) = m*n(b) - 6*q(b). Factor d(x).
x**2*(x - 3)*(x - 1)
Factor -9242425*q**3 + 5653*q**2 + 8640*q + 172800 - 4*q**4 - 20485*q**2 + 9242909*q**3.
-4*(q - 60)**2*(q - 4)*(q + 3)
Let o be (-20)/6*(-1 - 12 - 702/(-135)). Factor o*u - 18/5*u**2 - 28/5.
-2*(u - 7)*(9*u - 2)/5
Let z = 11773 + -11768. Let -166/13*x**4 + 178/13*x**2 + 56/13*x**z + 10/13*x - 66/13*x**3 - 12/13 = 0. Calculate x.
-1, -2/7, 1/4, 1, 3
Suppose -75 = 16*r - 21*r. Suppose r*n = 21*n. Factor 0*p**4 - 4/7*p**3 + n*p**2 + 2/7*p**5 + 2/7*p + 0.
2*p*(p - 1)**2*(p + 1)**2/7
Let n be -4 + 4508/133 - (-54)/513. Let x(f) be the third derivative of -1/20*f**6 + 0 + n*f**2 - 7/20*f**5 + 0*f**4 + 0*f - 1/490*f**7 + 0*f**3. Factor x(i).
-3*i**2*(i + 7)**2/7
What is w in -48*w - 54/7*w**2 + 56 - 2/7*w**3 = 0?
-14, 1
Let i(a) = 4*a**2 - 10. Let h = -14 - -27. Let d be 13/(78/108)*2/6. Let x(n) = -8*n**2 + 21. Let q(k) = d*x(k) + h*i(k). Find b such that q(b) = 0.
-1, 1
Let w(l) = 5*l**2 - 73*l - 166. Let z(f) = -26*f**2 + 364*f + 832. Let o(s) = 21*w(s) + 4*z(s). Solve o(p) = 0 for p.
-2, 79
Suppose 122*y + 223*y + 343*y + 5*y**2 - 333*y = 0. Calculate y.
-71, 0
Let g(h) = -32*h**2 - 91*h + 18. Let o be g(-3). Let 0*f**o + 5/4*f - 5/2*f**4 - 5/4*f**5 + 0 + 5/2*f**2 = 0. What is f?
-1, 0, 1
Suppose -3*m - 6*j + 6 = -4*j, 0 = -5*m + 4*j + 10. Suppose 4*r = m*r + 10. Find v, given that 0*v**3 + 2/7*v**r - 4/7*v**2 + 0 - 2/7*v + 4/7*v**4 = 0.
-1, 0, 1
Let i(s) be the first derivative of s**4/2 - 68*s**3 - s**2 + 204*s + 1224. Factor i(v).
2*(v - 102)*(v - 1)*(v + 1)
Let i be (-12)/(-20) - (-7627)/5. What is r in 144*r**3 - 1514 - 86*r - 32*r**4 - 114*r**2 + 3028 - i = 0?
-1/4, 2, 3
Suppose 0 = -930*y + 320 + 1826 - 286. Let -40/3*q**y + 2/3*q**5 + 16/3*q + 12*q**3 + 0 - 14/3*q**4 = 0. What is q?
0, 1, 2
Let n(x) be the first derivative of -243*x**5/40 - 3051*x**4/4 - 27491*x**3 - 147126*x**2 - 282534*x + 9999. Suppose n(z) = 0. What is z?
-434/9, -2
Suppose 933 = -138*v + 141*v. Let f = v + -619/2. Factor 2 - 6*c - 1/2*c**3 + 1/2*c**5 + 11/2*c**2 - f*c**4.
(c - 2)*(c - 1)**3*(c + 2)/2
Determine v so that 93*v**3 - 187*v - 39*v**3 - 364*v**2 - 597*v + 16541*v**4 - 16525*v**4 - 2*v**5 = 0.
-4, -2, 0, 7
Suppose -16*p**2 - 7*p**2 - 612*p**3 - 6*p**2 - 19*p**2 + 610*p**3 + 48 + 2*p = 0. What is p?
-24, -1, 1
Let o be ((-10)/4 - -3)*26. Suppose -6*u = -o*u + 21. Factor -4*j**2 + 7*j**2 + u*j - 6*j.
3*j*(j - 1)
Let 9*n**4 - 28*n**3 - 2*n**4 - 3*n**4 - 15*n - 33*n**2 - 7*n**2 + 79*n = 0. Calculate n.
-2, 0, 1, 8
Let c = 820 + -682. What is i in i + c*i - i**2 - 23*i + 9*i**2 + 56 = 0?
-14, -1/2
Let g(j) be the third derivative of 3*j**7/280 - j**6/160 - j**5/40 - 1043*j**2. Find n, given that g(n) = 0.
-2/3, 0, 1
Suppose -288/7*o + 1/7*o**3 + 1408/7 + 6/7*o**2 = 0. What is o?
-22, 8
Suppose -65*t + 653 = 523. Let f(z) be the first derivative of -9/16*z**4 + 9/4*z - 15/8*z**t - 11/4*z**3 + 8. Solve f(u) = 0.
-3, -1, 1/3
Factor 19*u**5 + u**3 + 119*u**4 + 120*u**5 + 81*u**4 - 60*u**4.
u**3*(u + 1)*(139*u + 1)
Let m(q) be the second derivative of 0 + 0*q**2 - 1/27*q**3 - 1/54*q**4 - 57*q. Factor m(t).
-2*t*(t + 1)/9
Let h(q) be the first derivative of 3*q**5 + 0*q - 5*q**2 - 5*q**3 + 5/6*q**6 + 5/4*q**4 - 19. Factor h(w).
5*w*(w - 1)*(w + 1)**2*(w + 2)
Let d(o) = 5*o**3 - 26*o**2 + 45*o - 16. Suppose -15 = 3*i - 4*i. Let n(p) = i*p**3 - 79*p**2 + 12 - 28 + 135*p - 33. Let b(l) = -11*d(l) + 4*n(l). Factor b(k).
5*(k - 4)*(k - 1)**2
Let a be (-396)/9 - 15620/(-352). Find j, given that -a*j**3 + 9/8*j**2 + 3/8*j - 9/8 = 0.
-1, 1, 3
Solve 810*s - 360 + 674*s**3 + 85*s**2 + 665*s**3 - 1374*s**3 = 0 for s.
-4, 3/7, 6
Suppose 4*t + 12 = 6*t + 2*t. Let z(y) be the first derivative of -1/10*y**5 - 20 + 1/2*y**2 + 9/16*y**4 + 0*y - y**t. Factor z(k).
-k*(k - 2)**2*(2*k - 1)/4
Suppose -4*x + 4*y - 9*y = -31, -1 = -x + y. Suppose -7 = -4*u - u + l, 2*u + 8 = x*l