 19)**2
Let i = -6856/3 - -2185. Let t = i + 101. Factor 4/3 - t*k - 2/3*k**2.
-2*(k - 1)*(k + 2)/3
Let u(j) = 2*j**2 - 4*j - 26. Let h be u(11). Let w = -172 + h. Factor 1/3*s - 5/3*s**2 + w.
-s*(5*s - 1)/3
Let v(x) be the third derivative of -x**6/360 + x**5/40 + 3*x**3 - 5*x**2. Let y(n) be the first derivative of v(n). Suppose y(r) = 0. What is r?
0, 3
Let -97/5*g + 1/5*g**5 + 38/5 + 16/5*g**3 - 4*g**4 + 62/5*g**2 = 0. Calculate g.
-2, 1, 19
Suppose -24*p = -26*p + 4. Let -21*v**4 + 1385 - 6*v**p - 1385 - 27*v**3 = 0. What is v?
-1, -2/7, 0
Let w(b) = 3*b**2 - 4*b**2 - 4*b + 2*b + 6 + 0*b**2. Let s be w(-3). Factor -1 + i - 2*i**s - 2 + 2*i + 3*i**2 - i**3.
-3*(i - 1)**2*(i + 1)
Let k(i) be the third derivative of i**6/600 - 7*i**5/50 + 4*i**4 - 80*i**3/3 + 116*i**2 + i. Factor k(j).
(j - 20)**2*(j - 2)/5
Let a = -4 + 4. Suppose 4*h - t - 2*t - 285 = a, -4*t = -4. Factor 24*l + 3*l**2 - 6*l**2 + 24 - h.
-3*(l - 4)**2
Let y(c) = -c**3 + 4*c**2 + 5*c - 21. Let f be y(3). Let g(n) be the first derivative of 0*n - 13 - 1/2*n**f + 3/4*n**2. Solve g(i) = 0 for i.
0, 1
Let o(v) be the first derivative of 125*v**6/6 - 52*v**5 + 145*v**4/4 - 10*v**3/3 - 182. Factor o(u).
5*u**2*(u - 1)**2*(25*u - 2)
Let t(u) be the second derivative of -u**9/7056 - u**8/1960 - u**7/1960 - 3*u**3/2 + 12*u. Let h(g) be the second derivative of t(g). Factor h(f).
-3*f**3*(f + 1)**2/7
Let x(h) be the third derivative of 17*h**2 + 0*h + 0*h**3 + 0 - 1/6*h**4 + 2/15*h**5. Factor x(r).
4*r*(2*r - 1)
Let o = -2 + 4. Let v be (-135)/(-12) + o/(-8). Find h such that -3*h**3 - 2*h**2 - 6*h**5 + v*h**3 + h**2 - 2*h + h**4 = 0.
-1, -1/2, 0, 2/3, 1
Let l(s) be the third derivative of -169*s**5/240 - 91*s**4/8 - 147*s**3/2 - 5*s**2 - 16. Determine o, given that l(o) = 0.
-42/13
Let i(f) be the first derivative of -f**5/15 + 19*f**4/12 + 64*f**3/9 + 22*f**2/3 - 201. Factor i(w).
-w*(w - 22)*(w + 1)*(w + 2)/3
Let q(b) = 19*b + 3. Let i be q(7). Solve -3*u**4 - u - 4*u**5 + 3*u**2 - 136 + 5*u**3 + i = 0 for u.
-1, 0, 1/4, 1
Let s = 9 - 7. Suppose 0 = 16*r - 14*r - 4. Factor 7*a**2 - a**s + a - 5*a**r.
a*(a + 1)
Let t(w) be the first derivative of 36/7*w + 33/7*w**2 - 4 - 8/3*w**3 + 5/14*w**4. Factor t(y).
2*(y - 3)**2*(5*y + 2)/7
Let q = 69 + -64. Solve -37*o - 20 + 0*o**2 + 84 + q*o + 4*o**2 = 0.
4
Let q(o) be the first derivative of -o**3/3 + 234*o**2 - 54756*o + 294. Let q(l) = 0. Calculate l.
234
Let z(m) be the third derivative of m**8/784 - 11*m**7/490 + 9*m**6/140 + 27*m**5/35 - 27*m**4/7 + 192*m**2. Solve z(a) = 0.
-3, 0, 2, 6
Factor -13 + 11/2*w + 1/2*w**2.
(w - 2)*(w + 13)/2
Let w(f) = -44*f + 225. Let u be w(5). Let d(h) be the second derivative of -1/6*h**4 + 0*h**3 + 0 - u*h + h**2. Determine p, given that d(p) = 0.
-1, 1
Let t(o) be the first derivative of -4*o**5/5 - 2*o**4 + 4*o**3/3 + 4*o**2 + 99. Factor t(i).
-4*i*(i - 1)*(i + 1)*(i + 2)
Suppose -4*f = -3*a + 23, 0*a + 3*a = 5*f + 22. Suppose 4*n - 26 = -a*n. Suppose 0*v**n - 1/2*v**3 - v**4 + 0*v - 1/2*v**5 + 0 = 0. What is v?
-1, 0
Let x(n) be the second derivative of -7*n**4/18 + 352*n**3/9 - 100*n**2/3 - 12*n. Factor x(v).
-2*(v - 50)*(7*v - 2)/3
Let c(s) = -3*s**3 - 36*s**2 - 147*s - 189. Let v(f) = 2 - 1 + 1 + f - 3. Let q(p) = c(p) + 3*v(p). Factor q(t).
-3*(t + 4)**3
Let d(s) be the second derivative of -1/126*s**7 - 1/15*s**6 + 8/3*s**3 + 0 - 2/15*s**5 + 16/3*s**2 - 2*s + 4/9*s**4. Solve d(h) = 0.
-2, 2
Let l(u) be the second derivative of -u**6/20 - 9*u**5/10 + 27*u**4/8 - 7*u**3/2 + 24*u. Find f such that l(f) = 0.
-14, 0, 1
Suppose 4*q - p = 2*q + 14, 2*q + 2*p - 26 = 0. Determine o so that 13*o + q*o**4 - 12*o**3 + 3*o**5 - 6 - 9*o**4 - 4*o + 6*o**2 = 0.
-2, -1, 1
Let t(y) be the first derivative of -2/7*y**4 + 38 + 4/21*y**3 - 1/21*y**6 + 5/7*y**2 + 4/7*y - 8/35*y**5. Find i such that t(i) = 0.
-2, -1, 1
Let b = -193/5 + 1967/45. Suppose 3*s + 2*s = 4*v - 6, -5*s + v = -6. Determine j so that s*j - 32/9*j**5 + 16/3*j**4 + 14/9*j**3 - b*j**2 - 2/9 = 0.
-1, 1/4, 1
Let s be -15*((-4)/36)/(1/3). Suppose s*y = -v - 12 - 1, -5*y = -3*v + 21. Suppose 2*j + 4/7 - 8/7*j**v = 0. What is j?
-1/4, 2
Suppose -1/4*i**3 - 9/4*i**2 + 9/4 + 1/4*i = 0. What is i?
-9, -1, 1
Let 0 - 2/9*b**2 - 32/9*b = 0. Calculate b.
-16, 0
Suppose -5*q = 436 - 406. Let d be -1 - (-5)/(-25)*q. Let 0 + d*z**3 + 3/5*z**2 + 2/5*z = 0. What is z?
-2, -1, 0
Let n(v) be the first derivative of v**4 + 4*v**3/3 - 2*v**2 - 4*v + 103. Factor n(o).
4*(o - 1)*(o + 1)**2
Let h(t) be the first derivative of t**6/18 + 13*t**5/15 + 29*t**4/6 + 88*t**3/9 - 16*t**2/3 - 128*t/3 + 39. Factor h(a).
(a - 1)*(a + 2)*(a + 4)**3/3
Suppose -z = 3*r - 9, -4 = -0*z + 2*z - 5*r. Factor 394*p**5 + p**4 + 0*p**3 - p**z - 391*p**5 + p**4.
p**3*(p + 1)*(3*p - 1)
Let y(b) be the first derivative of 2*b**5/5 + 17*b**4/2 - 74*b**3/3 + 19*b**2 + 18. Factor y(h).
2*h*(h - 1)**2*(h + 19)
Let y(p) be the first derivative of 2*p**3/45 - 7*p**2/5 + 36*p/5 + 71. Suppose y(j) = 0. Calculate j.
3, 18
Let k(b) be the third derivative of 0*b**3 + 1/735*b**7 + 0*b**4 + 0 + 0*b + 2/105*b**6 - 1/1176*b**8 - 2/35*b**5 - 29*b**2. Solve k(q) = 0 for q.
-3, 0, 2
Factor 56/15*j + 2/5 + 10/3*j**2.
2*(j + 1)*(25*j + 3)/15
Let 100 - 2*y**2 + 29*y + 52*y**2 + 859*y**3 + 116*y - 854*y**3 = 0. What is y?
-5, -4, -1
Suppose 0 = -13*h + 9*h + 36. Suppose 223*w**2 - h*w - 6 + 2 - w**3 - 229*w**2 = 0. Calculate w.
-4, -1
Let p(v) = 2*v**5 - 98*v**4 + 182*v**3 - 14*v**2 - 184*v + 82. Let l(o) = o**4 - o**3 + 3*o**2 + o + 1. Let r(d) = -6*l(d) - p(d). Factor r(s).
-2*(s - 44)*(s - 1)**3*(s + 1)
Let p(d) be the second derivative of 5*d**7/84 - 7*d**6/12 + 19*d**5/8 - 125*d**4/24 + 20*d**3/3 - 5*d**2 - 11*d - 2. Factor p(s).
5*(s - 2)**2*(s - 1)**3/2
Suppose -37*k - 37*k + 27*k - 48*k**2 - 8 + 8*k - 61*k = 0. Calculate k.
-2, -1/12
Let w(a) be the first derivative of 2/15*a**3 + 6/5*a**2 - 18 + 2*a. Factor w(h).
2*(h + 1)*(h + 5)/5
Let s = 16 - -48. Factor 34*h + 3*h**2 - 4*h**4 - s - 13*h**2 - 86*h**2 + 94*h + 32*h**3.
-4*(h - 2)**4
Let u(l) be the second derivative of -7/30*l**6 - 2*l**2 + 11/12*l**4 + 2*l**3 + 0 - 25*l - 3/5*l**5. Let u(t) = 0. Calculate t.
-2, -1, 2/7, 1
Suppose 4*t - u = -6 + 27, 0 = 4*t + 4*u + 4. Suppose -w + 0*w = -t. Factor w*n**2 + 62*n + 5*n**4 - 10*n**3 + n**4 - 62*n.
2*n**2*(n - 1)*(3*n - 2)
Let z(j) be the first derivative of 29 - j + 5*j**3 - j**5 + 6*j**2 + j - j**2. Determine m so that z(m) = 0.
-1, 0, 2
Suppose 26 = -3*o - 67. Let k = -29 - o. What is f in 1/5*f**k + 0 - 1/5*f = 0?
0, 1
Let o = 106 + -102. Let f be (o/10)/((-348)/45 + 8). Factor f*y - 9/4 + 3/4*y**2.
3*(y - 1)*(y + 3)/4
Suppose 2*q + 12 = -q. Let i be (q - 0) + 52/8. Let -1/2*x + 0 - i*x**2 = 0. What is x?
-1/5, 0
Let b(a) be the first derivative of -a**8/840 + a**7/140 - a**6/60 + a**5/60 + 6*a**3 + 21. Let f(v) be the third derivative of b(v). Let f(o) = 0. What is o?
0, 1
Suppose 3*f + f - 28 = 0. Let r(w) = -4*w**3 - 13*w**2 - 12*w + 29. Let c(u) = -2*u**3 - 7*u**2 - 6*u + 15. Let z(n) = f*c(n) - 3*r(n). Solve z(s) = 0 for s.
-3, 1
Let l = -3 - -10. Let g = l - 3. What is r in 6*r**3 + 2*r + 9*r**g - r + r**2 - r = 0?
-1/3, 0
Let o(p) = 2*p**3 + 4*p**2 + 3*p + 3. Let z(j) = 3*j**3 + 9*j**2 + 5*j + 5. Let i(k) = 5*o(k) - 3*z(k). Factor i(b).
b**2*(b - 7)
Let z = -115 - -67. Let j be (-6)/(-20)*z/(-36). Suppose -2/5*a - 2/5*a**2 + 2/5*a**3 + j = 0. Calculate a.
-1, 1
Let l(v) be the third derivative of -v**6/780 - v**5/78 - 2*v**4/39 - 4*v**3/39 - 33*v**2. Factor l(u).
-2*(u + 1)*(u + 2)**2/13
Let g be (-276)/(-9) - (-4)/(-6). Let z = 165 + -137. Factor g*u + 5*u**2 + 10 + 3 + z + 4.
5*(u + 3)**2
Let y(a) be the third derivative of 7/20*a**5 - 2*a**3 + 0*a + 0 + 21*a**2 + 3/2*a**4. Factor y(w).
3*(w + 2)*(7*w - 2)
Factor 0 - 1058/3*l - 92/3*l**2 - 2/3*l**3.
-2*l*(l + 23)**2/3
Suppose 40*d**2 + 2*d**3 + 1253 - 2434 - 184*d + 1373 = 0. What is d?
-24, 2
Suppose -144 - 17 = -48*k + 31. Find z, given that -32/7*z**2 + 68/7*z**k + 0 - 6*z**5 + 8/7*z - 2/7*z**3 = 0.
-2/3, 0, 2/7, 1
Let a = 18050/42133 + 1/6019. Factor a*f + 3/7*f**4 + 9/7*f**3 + 9/7*f**2 + 0.
3*f*(f + 1)**3/7
Let f be (27/15)/(-7 + (-190)/(-25)). Factor -8/3*o - 16/9 - 2/9*o**f - 4/3*o**2.
-2*(o + 2)**3/9
Let w(l) be the first derivati