*i**2 + n - 4/3*i.
-4*(i - 1)*(i + 2)/3
Let x(f) = 3*f**3 - 36*f**2 - 423*f + 6096. Let o(l) = -3*l**3 + 35*l**2 + 422*l - 6098. Let i(h) = -6*o(h) - 7*x(h). Factor i(z).
-3*(z - 13)**2*(z + 12)
Let l(n) be the third derivative of -2*n**2 + 1/36*n**4 + 24 + 1/360*n**5 + 0*n - 7/12*n**3. Factor l(c).
(c - 3)*(c + 7)/6
Factor 0 - 128/3*h + 1/3*h**2.
h*(h - 128)/3
Find p, given that 144 + 951623*p**3 - 22*p**2 - 951627*p**3 - 6*p**2 = 0.
-6, -3, 2
Let t(w) be the third derivative of -7*w**5/20 + 31*w**4/8 - 59*w**3/6 + 72*w**2. Let l(a) = -10*a**2 + 46*a - 30. Let s(h) = 13*l(h) - 6*t(h). Factor s(g).
-4*(g - 9)*(g - 1)
Let l(q) be the third derivative of -q**6/360 - 5*q**5/36 - 143*q**4/72 + 169*q**3/18 + 1229*q**2 + 3*q. Suppose l(k) = 0. Calculate k.
-13, 1
Let 437 + 29*g + 6*g**2 - 9*g**2 - 230*g + 125 + 68 = 0. Calculate g.
-70, 3
Let c(z) = 181*z + 20817. Let t be c(-115). Find k such that 2/19*k**t - 24/19 - 2/19*k = 0.
-3, 4
Factor 560 + 2/3*m**3 + 836/3*m - 842/3*m**2.
2*(m - 420)*(m - 2)*(m + 1)/3
Let n(r) be the second derivative of -r**4/4 + 3*r**3 + 9*r - 6. Let c(s) = 3*s**2 - 19*s. Let v(l) = -6*c(l) - 5*n(l). Factor v(g).
-3*g*(g - 8)
Suppose -437*l - 40 = 417*l - 874*l. Solve 144/5 + 4/5*r**l + 48/5*r = 0.
-6
Let h(d) be the first derivative of d**5/5 + 5*d**4/3 + 4*d**3/3 - 16*d**2 - 65*d + 10. Let o(f) be the first derivative of h(f). Suppose o(v) = 0. What is v?
-4, -2, 1
Solve 7/2*k**5 + 0*k - k**4 + 4*k**2 - 14*k**3 + 0 = 0 for k.
-2, 0, 2/7, 2
Suppose 65*u + 2926 = 10856. Let i = -120 + u. Find c such that -10/11*c - 2/11*c**i - 8/11 = 0.
-4, -1
Let a be ((-71)/25560*64)/(2*3/(-30)). Solve -a*u**3 - 32/9*u + 2/3 + 34/9*u**2 = 0 for u.
1/4, 1, 3
Let z(y) be the second derivative of y**5/40 - 411*y**4/8 + 168921*y**3/4 - 69426531*y**2/4 + 781*y + 1. Factor z(q).
(q - 411)**3/2
Let o(r) be the first derivative of r**4/16 - 11*r**3/4 + 45*r**2/4 - 205. Let o(v) = 0. Calculate v.
0, 3, 30
Let 37/5*m**2 + 0 - 3/5*m**3 - 18*m = 0. Calculate m.
0, 10/3, 9
Let q = 1682 + -1678. Let v(y) be the second derivative of 2/3*y**3 + 0*y**2 + 1/6*y**q + 1/21*y**7 - 3/10*y**5 - 1/15*y**6 + 0 + y. Solve v(p) = 0 for p.
-1, 0, 1, 2
Let f be 175/40 + 3/(-8). Let l(g) be the second derivative of 0*g**3 + 15*g + 1/25*g**5 - 2/35*g**7 + 0 + 0*g**2 + 4/75*g**6 + 0*g**f. Factor l(k).
-4*k**3*(k - 1)*(3*k + 1)/5
Let u be ((-49)/21)/((-49)/210). Let i be (-2 + 4)*(85/(-10) + u). Let 0*d**2 + 0 - 1/3*d + 1/3*d**i = 0. Calculate d.
-1, 0, 1
Suppose -35*u = -137 - 283. Suppose -u*k + i = -13*k + 7, 0 = -5*k - 4*i + 30. Factor 1 - 1/3*y**k + 2/3*y.
-(y - 3)*(y + 1)/3
Let l be 347322/(-43656) - (-37)/4. Factor l*z**2 - 24/17*z**3 + 0*z + 0 + 2/17*z**4.
2*z**2*(z - 11)*(z - 1)/17
Let h = 50 - 68. Let p be 342/81 + ((-14)/h - 1). Factor 3*m**p - 80*m**2 - 9*m**4 - 12*m**4 - 66*m**3 - 32*m.
-2*m*(m + 1)*(3*m + 4)**2
Let k = -78 + 101. Let t be 0/(-1) + (0 - -2). Find v, given that k*v**3 - 11*v - 29*v**t + 15*v + 4 - v**5 + 5*v**4 - 6*v**5 = 0.
-2, -2/7, 1
Let d = 9/3463 + 6899/10389. Suppose 2*h = 8*h. Factor -d*c**2 + h - 2/3*c.
-2*c*(c + 1)/3
Let u(l) be the third derivative of -l**6/216 - 2*l**5/3 - 40*l**4 - 34*l**3/3 + 2*l**2 + 80. Let g(z) be the first derivative of u(z). Factor g(j).
-5*(j + 24)**2/3
Find f such that -1179/2*f**2 + 27 + 1347/2*f**3 - 87/2*f - 135/2*f**4 = 0.
-2/9, 1/5, 1, 9
Let j be 4 - (42/(-28) - 27/(-5)). Let b be (-6 - 5)/11*2/(-10). Let -j*i + b - 1/10*i**2 = 0. What is i?
-2, 1
Suppose 1178 - 1248 = -14*u. Let h(y) be the third derivative of -1/2*y**4 + 0*y + 0*y**3 + y**2 + 0 + 1/20*y**u. Factor h(n).
3*n*(n - 4)
Let b = 607504 - -839975. Find s, given that -b*s - 656*s**3 + s**4 - 5*s**4 - 27397*s**2 + 344743*s - 11303044 - 12947*s**2 = 0.
-41
Let t = 566156 - 9624530/17. Factor 2/17*s**2 + t*s + 120/17.
2*(s + 1)*(s + 60)/17
Let b(j) be the first derivative of -j**4 - 10*j**3/3 + 2*j**2 + 10*j + 1234. Factor b(t).
-2*(t - 1)*(t + 1)*(2*t + 5)
Let v(s) be the first derivative of -2*s**3/15 - 83*s**2 - 1108. Factor v(n).
-2*n*(n + 415)/5
Let g(p) be the first derivative of p**5/20 - 127*p**4/16 - 257*p**3/12 - 129*p**2/8 + 3444. Suppose g(u) = 0. What is u?
-1, 0, 129
Factor 0 + 34/15*g - 2/15*g**3 + 32/15*g**2.
-2*g*(g - 17)*(g + 1)/15
Let o(n) be the third derivative of -141*n**2 + 67/120*n**5 + 85/48*n**4 + 1/80*n**6 + 0*n + 7/4*n**3 + 0. What is w in o(w) = 0?
-21, -1, -1/3
Suppose -224*w + 247*w - 667 = 0. Let f(z) be the first derivative of 0*z + 1/24*z**3 + 1/8*z**2 - w - 1/32*z**4. Let f(d) = 0. What is d?
-1, 0, 2
Let h(k) be the first derivative of 1/3*k**3 + 6*k + 7/2*k**2 + 77. Solve h(a) = 0 for a.
-6, -1
Find x, given that -44/15*x**3 - 64/15*x + 58/5*x**2 - 56/15 - 2/3*x**4 = 0.
-7, -2/5, 1, 2
Factor -32*w**2 + 10*w**2 - 9173 - 12*w + 9207.
-2*(w - 1)*(11*w + 17)
Suppose 4*o = 3*o - 3. Let s be (1 + o)/((-12)/54) - -2. Factor 12*d + 27 - s + 56*d**2 - 55*d**2 - 4*d.
(d + 4)**2
Factor 0 - 6/5*u**2 - 3858/5*u.
-6*u*(u + 643)/5
Let o = 583 + -587. Let j be -1 + 7 - (48/o - -15). Factor -2/13*b**j + 2/13*b**2 - 2/13 + 2/13*b.
-2*(b - 1)**2*(b + 1)/13
Let z(h) = 5*h**2 - 117*h + 74. Let b(q) = 7*q**2 - 119*q + 74. Suppose 15*c - 17*c + 10 = 0. Let f(m) = c*z(m) - 4*b(m). Factor f(a).
-(a + 37)*(3*a - 2)
Let w = -20058 - -20060. Let p(h) be the third derivative of 2/105*h**7 - 3/20*h**6 + 0 + 0*h**4 - 4/3*h**3 + 0*h + 11/30*h**5 - 8*h**w. Factor p(z).
2*(z - 2)**2*(z - 1)*(2*z + 1)
Let r(w) be the first derivative of 25*w - 38 + 0*w**2 - 1/4*w**5 - 5/3*w**4 + 5/6*w**3 + 2/3*w**6. Let f(u) be the first derivative of r(u). Factor f(n).
5*n*(n - 1)*(n + 1)*(4*n - 1)
Suppose u + 1333 - 3283 = 0. Suppose 0*d**3 - u*d + 1924*d - 16*d**2 - 2*d**3 - 12 = 0. What is d?
-6, -1
Let k be (-2)/(-6) + 100/60 + 1. Factor -14*y + 14*y - 12*y**2 + 29*y**k - 4*y**4 - 13*y**3.
-4*y**2*(y - 3)*(y - 1)
Suppose 2*c = 4*a - 122, 5*a = -c - 0*c + 163. Suppose 0 = 8*u - 0*u - a. What is j in 6*j**2 - 2*j**4 + u + 2*j**3 - 4*j**3 - 21*j + 31*j = 0?
-1, 2
Let y(w) = 68*w + 208. Let n be y(-3). Solve -305*r + 173*r**n - 158*r**4 - 95*r**3 - 73*r**2 - 90 - 19*r**2 - 233*r**2 = 0 for r.
-1, -2/3, 9
Let j(i) be the third derivative of i**6/120 - i**5/20 + i**4/12 - 92*i**2 + 5*i. Suppose j(x) = 0. Calculate x.
0, 1, 2
Let o be -7 - ((4563/(-8))/27 + 13). What is k in 21/8*k**3 + 0 + o*k + 3/2*k**4 - 21/4*k**2 = 0?
-3, 0, 1/4, 1
Let m be (30/(-140))/(4 + 10 + (-204)/14). Solve 0 + m*d**2 - 27/8*d = 0.
0, 9
Let q = -20116/3 + 6707. Let g(w) be the first derivative of 0*w + q*w**3 + 1/2*w**4 - w**2 - w**5 - 29. Solve g(s) = 0 for s.
-1, 0, 2/5, 1
Let y(m) be the second derivative of 20 + 1/5*m**6 - 5/2*m**4 + 1/14*m**7 + 2*m**3 - 3/4*m**5 + 12*m**2 - 2*m. Find c such that y(c) = 0.
-2, -1, 1, 2
Suppose 1 = 8*v + 13 - 36. Let m(x) be the first derivative of 2*x**2 + 0*x + 1/2*x**4 + 26 + v*x**3. Factor m(f).
f*(f + 4)*(2*f + 1)
Suppose i - 59 = -5*w, 5*w + 38 = 3*i - 179. Let q = i + -66. Suppose -14*p + 6*p**3 + 44*p + 17*p**3 + 5*p**4 - 55*p**2 - q*p**3 = 0. What is p?
-6, 0, 1
Let u(v) = -2*v**5 + v**3 + v**2 - 1. Let h(p) = -p**5 + 117*p**4 + 4564*p**3 + 59320*p**2 - 1. Let a(g) = -h(g) + u(g). Factor a(r).
-r**2*(r + 39)**3
Let s = -197571/4 + 49393. What is m in -3/8*m**4 - 3/8*m + 1/8*m**5 + 1/4*m**3 + s*m**2 + 1/8 = 0?
-1, 1
Suppose 3*o = -f - 25, 2*f = 44*o - 46*o - 30. Let l(d) = 2*d**2 + 12*d + 22. Let t(c) = -3*c**2 - 23*c - 44. Let k(m) = f*l(m) - 6*t(m). Factor k(r).
-2*(r - 11)*(r + 2)
Let w(j) be the second derivative of 0 + 1/72*j**4 + 13/6*j**3 + 507/4*j**2 + 133*j. Find o, given that w(o) = 0.
-39
Let z be 2/(-6)*((-72240)/66220)/(20/22 - 0). Let -1/5*r + 2/5*r**4 + 0 + 1/5*r**5 + 0*r**3 - z*r**2 = 0. Calculate r.
-1, 0, 1
Let h = 98/85 + 11/17. Let p = 27 + -132/5. Let -p*g**4 + 24/5 + h*g**2 + 12/5*g**3 - 42/5*g = 0. Calculate g.
-2, 1, 4
Let a(g) = -5*g**3 - 20*g**2 + 5*g + 16. Let i(r) = 6*r**3 + 21*r**2 - 6*r - 15. Let t(j) = -3*a(j) - 2*i(j). What is f in t(f) = 0?
-6, -1, 1
Let v = 4476321/3197365 - 2/639473. Solve v + 1/5*a**2 - 8/5*a = 0 for a.
1, 7
Suppose -4*t - 63 + 95 = 0. Let n(y) = 21*y - 166. Let w be n(t). Factor -16/5 + 12/5*b + 0*b**w - 1/5*b**3.
-(b - 2)**2*(b + 4)/5
Suppose 3*d**2 + 15570*d + 12651149 - 805103