 - 1)**3
Let l(p) = 20*p**2 - 1268*p - 16. Let f(h) = 7*h**2 - 423*h - 6. Let i(m) = -8*f(m) + 3*l(m). Determine d so that i(d) = 0.
0, 105
Let h(s) be the first derivative of 3*s**5 + 8/3*s**3 + 0*s - 5/2*s**2 - 5 - 27/10*s**6 + 16/3*s**4. Let i(j) be the second derivative of h(j). Factor i(t).
-4*(t - 1)*(9*t + 2)**2
Let d = 5319 + -5316. Let 1/9*x**d - 2/9*x**2 + 0 + 0*x = 0. Calculate x.
0, 2
Let i(f) be the second derivative of -f**6/45 - 3*f**5/5 + 73*f**4/6 - 632*f**3/9 + 144*f**2 - 2*f + 102. Find x, given that i(x) = 0.
-27, 1, 4
Let z(l) = 25*l + 128. Let p be z(-5). Let y(w) be the third derivative of 0*w - p*w**2 + 1/8*w**4 + 0 + 0*w**3 + 1/20*w**5. Factor y(m).
3*m*(m + 1)
Let q be (-14)/42 - (-46)/(-6). Let o be ((-12)/q)/((-3)/(-52)). Factor -13*z**2 + 4*z**2 - 7*z**2 - 14*z**2 + 4*z + o*z**3.
2*z*(z - 1)*(13*z - 2)
Let c = 661 + -661. Let w(b) be the first derivative of c*b - 2/5*b**5 + 0*b**2 - 3 + b**4 - 2/3*b**3. Factor w(n).
-2*n**2*(n - 1)**2
Let l = 304 + -302. Let k(q) be the first derivative of 0*q**3 - 1/2*q**l + 0*q - 4 + 1/4*q**4. Let k(b) = 0. What is b?
-1, 0, 1
Let c(k) be the first derivative of -k**4/10 - 14*k**3/15 - 16*k**2/5 - 24*k/5 + 78. Factor c(o).
-2*(o + 2)**2*(o + 3)/5
Let z(i) = -16*i**4 + 16*i**3 + 4*i - 4. Let n(q) = -q**5 + 16*q**4 - 17*q**3 + 2*q**2 - 3*q + 3. Let g(d) = -4*n(d) - 3*z(d). Factor g(t).
4*t**2*(t - 2)*(t - 1)**2
Factor -4/3 + 2/3*f**5 - 8/3*f**3 + 4/3*f**2 + 0*f**4 + 2*f.
2*(f - 1)**3*(f + 1)*(f + 2)/3
Let p = -16 - -21. Suppose 3*f - 24 = -p*x, -f - 12 = -6*f + x. Let 0 - 5*t**2 + 5*t**2 - 6*t + f + 3*t**2 = 0. What is t?
1
Let h(i) be the first derivative of -i**3/2 + 51*i**2/4 - 24*i - 91. Factor h(v).
-3*(v - 16)*(v - 1)/2
Let l(k) = -2*k**3 - 4*k**2 + 4*k. Let f(p) = p. Suppose 0 = 5*t - 46 + 51. Let w(q) = t*l(q) - 2*f(q). Find a, given that w(a) = 0.
-3, 0, 1
Let z(y) be the third derivative of y**8/10080 + y**5/15 - 2*y**2. Let x(k) be the third derivative of z(k). Let x(h) = 0. Calculate h.
0
Let l(q) be the first derivative of 1440*q**3 + 15552*q - 1/3*q**6 - 13 - 180*q**4 + 12*q**5 - 6480*q**2. Determine i so that l(i) = 0.
6
Let z = -514/91 + 20/91. Let v = 6 + z. Find t, given that 2/7 + 12/7*t**5 - 24/7*t**3 + 12/7*t - v*t**2 + 2/7*t**4 = 0.
-1, -1/6, 1
Factor 12*b**2 - 3/2*b**3 + 0 - 3/2*b**4 + 18*b.
-3*b*(b - 3)*(b + 2)**2/2
Suppose -9 = -2*r - 3. What is p in -p**4 - 39*p**r + 29*p**3 - 5*p**5 + 16*p**4 = 0?
0, 1, 2
Let x = -3 + 10. Let c be (4/(-6))/(x/(-21)). Determine r, given that -8 + 2*r - c*r**5 - 4*r**4 + 9 + 4*r**2 - 1 = 0.
-1, 0, 1
Let g be (6/5)/((-4)/(-10)). Let d(f) be the third derivative of -1/30*f**5 + 1/120*f**6 + 0 - 5*f**2 + 0*f + 1/3*f**g - 1/24*f**4. Factor d(m).
(m - 2)*(m - 1)*(m + 1)
Let w(g) be the third derivative of 5/24*g**4 + 0 - 1/3*g**5 - 7*g**2 + 0*g + 1/8*g**6 + 0*g**3. Find n, given that w(n) = 0.
0, 1/3, 1
Let p(o) = -2*o**2 - 11*o + 10. Let g be p(-6). Find f, given that -5*f + 5*f**g + f**2 - 4*f**2 - 2*f**3 + 7*f**3 - 2*f**2 = 0.
-1, 0, 1
Factor 15 + 21125/3*a**2 - 650*a.
5*(65*a - 3)**2/3
Let x = 9/5 - 269/150. Let h(b) be the third derivative of -x*b**5 - 3/5*b**3 - 1/10*b**4 + 0 + b**2 + 0*b. What is n in h(n) = 0?
-3
Let g(y) be the first derivative of -2*y**3/3 - y**2 - 76. Factor g(x).
-2*x*(x + 1)
Let t be (-98)/(-70)*(-130)/(-91). What is h in -16/3*h + h**t + 5/3 = 0?
1/3, 5
Let j(z) = z. Suppose 1 = 5*s + 6. Let t(u) = -2*u**2 - 10*u - 2. Let m(c) = s*t(c) - 6*j(c). Suppose m(p) = 0. Calculate p.
-1
Let y be (-5)/(-20)*-14*(-15)/(420/16). Factor 0 + 1/3*a + a**3 + 1/3*a**4 + a**y.
a*(a + 1)**3/3
Determine l, given that 24076*l + l**2 - 195 + 4*l**2 - 24026*l = 0.
-13, 3
Factor 675*h + 3/2*h**4 - 177/4*h**3 + 3/4*h**5 + 0 - 45*h**2.
3*h*(h - 5)**2*(h + 6)**2/4
Let r(p) be the second derivative of p**4/6 + 17*p**3/6 + 53*p**2/2 - 11*p. Let l(m) = 4*m**2 + 35*m + 105. Let u(z) = 3*l(z) - 5*r(z). Solve u(n) = 0.
-5
Let b(d) = -3*d**2 - 27*d + 4. Let y be b(-9). Let n(v) be the first derivative of -1/50*v**5 - 1/10*v + 0*v**2 + 6 + 1/15*v**3 + 0*v**y. Factor n(c).
-(c - 1)**2*(c + 1)**2/10
Let u(g) be the third derivative of -g**7/5880 + g**6/420 + g**5/56 - 17*g**4/24 + 8*g**2. Let f(s) be the second derivative of u(s). Factor f(t).
-3*(t - 5)*(t + 1)/7
Let k(r) be the third derivative of -4*r**6/45 + 44*r**5/5 + 133*r**4/12 + 50*r**3/9 - 3*r**2 + 7. Factor k(a).
-2*(a - 50)*(4*a + 1)**2/3
Suppose -29/3*k**2 - 54 - 69*k + 5*k**3 - 1/3*k**4 = 0. Calculate k.
-2, -1, 9
Let s(a) be the third derivative of -a**5/21 + 383*a**4/42 + 44*a**3/3 + 30*a**2 + 2. Factor s(h).
-4*(h - 77)*(5*h + 2)/7
Let h(f) be the first derivative of 0*f**2 + 8/27*f**3 + 1/27*f**6 + 0*f + 10 + 4/9*f**4 + 2/9*f**5. Find j such that h(j) = 0.
-2, -1, 0
Suppose 0 = 2*q + 6, -3*q - 19 = -y - y. Determine g so that -1/6*g**3 - 4*g**2 + 0 + g**4 - 8/3*g - 1/6*g**y = 0.
-1, 0, 4
Let g(r) be the first derivative of r**6/1800 + 11*r**5/600 + r**4/12 + 31*r**3/3 + 7. Let b(v) be the third derivative of g(v). Factor b(s).
(s + 1)*(s + 10)/5
Factor 4/3*b**2 - 4/3*b - 224/3.
4*(b - 8)*(b + 7)/3
Suppose 2*o = 4*o - 1056. Factor -264 + 15*n**3 + o - 5*n**4 - 264.
-5*n**3*(n - 3)
Let c be (2 + 0/(-4))*(88/(-112) + 1). Determine s, given that c*s - 4/7 + 1/7*s**2 = 0.
-4, 1
Let a(o) be the third derivative of 8*o**2 + 13/51*o**4 + 0 + 169/510*o**5 + 4/51*o**3 + 0*o. Factor a(t).
2*(13*t + 2)**2/17
Let w(j) be the first derivative of -j**7/140 + j**6/120 + j**5/40 - 10*j**3/3 - 13. Let a(z) be the third derivative of w(z). Factor a(x).
-3*x*(x - 1)*(2*x + 1)
Let j(l) = l**2 - 104. Let h be j(0). Let m = -201/2 - h. Factor -6*x**3 - 3/2*x**2 + 0 - m*x**4 + x.
-x*(x + 1)**2*(7*x - 2)/2
Factor -3/4*v**3 - 9 + 0*v**2 + 39/4*v.
-3*(v - 3)*(v - 1)*(v + 4)/4
Suppose 12*r - 20 + 9 = 13. Factor -h**3 - 1/2*h + 0 - 1/4*h**4 - 5/4*h**r.
-h*(h + 1)**2*(h + 2)/4
Suppose 16 = 2*k - 4*v, 0 = -2*k - 5*v - 1 - 10. Factor -5/2*z - 25/4 - 1/4*z**k.
-(z + 5)**2/4
Let i(b) = 2*b**2 + 12*b - 18. Let p(m) = -m + 1. Suppose -2 - 178 = -5*t. Let z(d) = t*p(d) + 2*i(d). Factor z(w).
4*w*(w - 3)
Let l(v) be the third derivative of 1/15*v**6 + 0*v**3 + 1/42*v**7 + 4*v**2 + 0 + 0*v**4 + 0*v - 1/15*v**5. What is r in l(r) = 0?
-2, 0, 2/5
Suppose 3*b - 33 = -t - 4*t, 2*b + 4*t = 24. Suppose -3*p + 18 = b. Factor 12*k**3 - 18*k**2 + 12*k + 2 - 5 + 0 - 3*k**p.
-3*(k - 1)**4
Let d = 2380 - 2380. Let b(p) be the second derivative of 8*p + d - 4/3*p**2 + 1/15*p**5 + 1/6*p**4 - 4/9*p**3 - 1/45*p**6. Let b(z) = 0. What is z?
-1, 2
Let j = -1/389 + 425/14004. Let d(i) be the third derivative of 0*i + 0 + 2/27*i**3 - j*i**4 + 6*i**2 + 1/540*i**6 + 0*i**5. Solve d(t) = 0.
-2, 1
Let s(k) = -k**2 - 4*k + 10. Let g be s(-5). Suppose 2 = -g*o + 17. What is c in -3*c**4 - c - o*c**3 + 13*c + 3*c**2 - 9*c = 0?
-1, 0, 1
Suppose 0 + w**4 - 27/2*w**3 - 12*w**2 - 2*w + 9/2*w**5 = 0. What is w?
-1, -2/9, 0, 2
Let g(s) be the first derivative of -2*s**5/35 + 73*s**4/14 - 912*s**3/7 + 1296*s**2/7 - 141. Factor g(k).
-2*k*(k - 36)**2*(k - 1)/7
Let t = -1572 + 1572. Let d(n) be the third derivative of -4/3*n**3 + t*n + 0 - 13/6*n**4 - 10*n**2 - 2/5*n**5. Determine p so that d(p) = 0.
-2, -1/6
Solve 1/2*s**4 + 0 + 0*s**2 + 0*s + 1/2*s**3 = 0.
-1, 0
Let t(i) be the first derivative of -i**6/51 - 16*i**5/85 - 6*i**4/17 + 49. What is x in t(x) = 0?
-6, -2, 0
Let h(p) = 3*p**3 - 63*p**2 + 2*p - 2. Let t(k) = k - 1. Let c(d) = h(d) - 2*t(d). Let c(b) = 0. What is b?
0, 21
Let j(c) be the first derivative of 4/9*c**3 - 7/2*c**2 - 3 - 1/90*c**5 + 0*c + 0*c**4. Let f(o) be the second derivative of j(o). Let f(n) = 0. What is n?
-2, 2
Suppose -15*z = -21*z + 30. Factor -17*q**3 - 16*q**4 + 2*q**3 - 11*q**3 - 4*q - 16*q**2 - 4*q**z + 2*q**3.
-4*q*(q + 1)**4
Let p be (-40)/(-32) - (-1)/(-4). Suppose d - 3 = -3*l, l + 4*d + 9 = -p. Factor 8 + 3*t**l + 0*t**2 - 6*t - 6*t**2 + t**2.
-2*(t - 1)*(t + 4)
Find x such that 1276/13*x - 2/13*x**2 - 203522/13 = 0.
319
Let d be 1581/1785 + 2/(-7). Factor 1/10*r**2 + d - 1/2*r.
(r - 3)*(r - 2)/10
Let r = -8367/2 - -4184. Factor 1/2*h - r + h**2.
(h + 1)*(2*h - 1)/2
Let s(t) be the third derivative of -t**6/60 - 9*t**5/40 - t**4/2 + 19*t**3/6 - 17*t**2. Let m(i) be the first derivative of s(i)