, 3
Factor f + 1/9*f**2 - 22/9.
(f - 2)*(f + 11)/9
Let r be (-15)/20 - 1225/(-300) - (-1 - 2). Suppose 25/3*i**2 + 7/3*i**4 + r*i**3 + 16/3*i + 4/3 + 1/3*i**5 = 0. What is i?
-2, -1
Let -15/4*r + 3/4*r**2 - 3/2*r**5 - 3/2 + 21/4*r**3 + 3/4*r**4 = 0. Calculate r.
-1, -1/2, 1, 2
Let k(g) be the first derivative of 5/9*g**2 + 12 - 2/15*g**5 + 1/3*g**6 + 2/9*g + 4/27*g**3 - 7/9*g**4. Let k(s) = 0. Calculate s.
-1, -1/3, 1
Factor -3 + 35*w + 29*w + 135*w**2 + 61*w - 7.
5*(w + 1)*(27*w - 2)
Let u(d) = -7 + 9*d - 5*d**2 + 0*d**2 + 0*d. Let z(r) = 36*r**2 - 64*r + 50. Let c(i) = 44*u(i) + 6*z(i). Factor c(n).
-4*(n - 2)*(n - 1)
Find j such that 0 + 2/5*j**2 + 0*j - 1/10*j**4 + 3/10*j**3 = 0.
-1, 0, 4
Suppose 0*c + 0*c**2 - 2/15*c**5 + 0*c**3 + 0 + 8/15*c**4 = 0. Calculate c.
0, 4
Let h(i) be the third derivative of 5*i**8/336 + 13*i**7/210 - 13*i**6/60 + 2*i**5/15 - 456*i**2. Solve h(w) = 0.
-4, 0, 2/5, 1
Determine g, given that -3/7 + 0*g + 3/7*g**2 = 0.
-1, 1
Let n(u) be the second derivative of 2*u**7/3 + 52*u**6/15 - 43*u**5/5 + 10*u**4/3 + 17*u + 1. What is h in n(h) = 0?
-5, 0, 2/7, 1
Factor -18 - 113*j + 2*j**3 - 21 + j**3 + 38*j - 33*j**2.
3*(j - 13)*(j + 1)**2
Let 3*k**2 - 3/4*k - 3/4*k**3 - 9/2 = 0. Calculate k.
-1, 2, 3
Let s(r) = -9*r**4 - 18*r**3 + 12*r**2 - 3. Let z(q) = 8*q**4 + 16*q**3 - 10*q**2 - q + 2. Let m(t) = 5*s(t) + 6*z(t). Factor m(o).
3*(o - 1)*(o + 1)**3
Let n(j) = 3*j + 14. Let f be n(4). Suppose f = 3*d + 20. Find l such that 1/7*l + 0 + 1/7*l**d = 0.
-1, 0
Let s(a) be the second derivative of -5/13*a**3 - 9/13*a**2 - 7/78*a**4 + 17*a - 1/130*a**5 + 0. Solve s(r) = 0.
-3, -1
Let l(v) be the first derivative of v**4/2 - 20*v**3/3 + 21*v**2 - 157. Factor l(y).
2*y*(y - 7)*(y - 3)
Find v, given that -8 - 24/5*v - 2/5*v**2 = 0.
-10, -2
Let w(a) = a**3 + 3*a**2 - 2*a - 2. Let q be w(-3). Suppose 13 - 1 = q*g. What is p in 6*p**3 - 5*p**g + 0*p**3 = 0?
0
Let r(c) be the third derivative of -2*c**6/15 + 37*c**5/15 - 41*c**4/6 + 16*c**3/3 - 9*c**2 + c. Suppose r(u) = 0. What is u?
1/4, 1, 8
Let o(j) = -5*j + 8 + 5*j + 7*j + j**3 + 0*j - 8*j**2. Let l be o(7). Determine x, given that 2*x - 3 - 5*x**2 - l*x + 2*x**2 = 0.
-1
Let q be (-16)/32 + (1 - (-2)/(-4)). Let p(c) be the first derivative of 3/2*c + q*c**2 - 1/2*c**3 + 1. Factor p(x).
-3*(x - 1)*(x + 1)/2
What is d in -60*d - 4*d**2 + 8*d**2 + 7 + 12*d + 40 - 3 = 0?
1, 11
Let j(q) = -3*q - 3. Let g be j(-2). Suppose 0 = -5*o + 7 + g. Factor 8*z**5 + 9*z**2 + 16*z**4 + 4*z**3 + 8*z**2 + 6*z**3 - 15*z**o.
2*z**2*(z + 1)*(2*z + 1)**2
Let w be -3*((-1150)/1236)/5. Let p = w - 6/103. Let -l**4 + 0*l + 0 - 5/4*l**3 - 1/4*l**5 - p*l**2 = 0. Calculate l.
-2, -1, 0
Let q(z) be the third derivative of -1/15*z**5 - 1/6*z**4 + 0*z + 0 + 15*z**2 + 0*z**3. What is c in q(c) = 0?
-1, 0
Factor 0*k + 12/13*k**2 + 0 - 2*k**4 + 74/13*k**3.
-2*k**2*(k - 3)*(13*k + 2)/13
Let 5/2*v**5 - v**4 + 80*v - 128 + 52*v**2 - 38*v**3 = 0. What is v?
-4, -8/5, 2
Factor 800/11 - 3120/11*o - 8/11*o**3 - 318/11*o**2.
-2*(o + 20)**2*(4*o - 1)/11
Factor 0*u - 2*u**4 + 0 - 6/5*u**3 + 4/5*u**2.
-2*u**2*(u + 1)*(5*u - 2)/5
Factor 18/7*v**4 + 64/7*v**3 + 32/7 + 96/7*v + 2/7*v**5 + 16*v**2.
2*(v + 1)*(v + 2)**4/7
Let v = -658 - -661. Let j(q) be the second derivative of 1/3*q**2 - 1/9*q**v - 6*q + 0 + 1/72*q**4. Factor j(n).
(n - 2)**2/6
Factor -w**2 - 748 + 733 + 6*w + 2*w.
-(w - 5)*(w - 3)
Let q(g) be the first derivative of 16*g**5/5 + 24*g**4 - 236*g**3/3 + 78*g**2 - 32*g + 336. Factor q(z).
4*(z - 1)*(z + 8)*(2*z - 1)**2
Let z be (-7)/35 + 12/15. Let v(s) be the first derivative of z*s**2 - 6 - 2/15*s**3 - 4/5*s. Let v(r) = 0. Calculate r.
1, 2
Let h(f) be the first derivative of f**4/60 + 11*f**3/15 + 121*f**2/10 + 10*f - 38. Let w(g) be the first derivative of h(g). Determine b so that w(b) = 0.
-11
Factor 1/5*g**4 - 1/5*g**3 + 2/5 + 1/5*g - 3/5*g**2.
(g - 2)*(g - 1)*(g + 1)**2/5
Let l(w) be the first derivative of -w**5/300 + w**4/15 + 8*w**2 + 14. Let k(h) be the second derivative of l(h). Factor k(u).
-u*(u - 8)/5
Determine h so that 3/4*h**4 + 3*h + 0 - 21/4*h**2 + 3/2*h**3 = 0.
-4, 0, 1
Let k(y) = 8*y**2 - 138*y + 36. Let q be k(17). Let f(h) be the first derivative of 0*h**q - 7 + 0*h**3 + 1/14*h**4 + 0*h. Factor f(o).
2*o**3/7
Let i(y) be the second derivative of -y**4/3 + 10*y**3/3 - 8*y**2 + 59*y. Factor i(h).
-4*(h - 4)*(h - 1)
Suppose 0 = -3*t - 2*j + 21, -3*t - 4*j + 32 = t. Suppose -5*q = -r + 4, -4*q - t*r = -3*q - 20. Factor -2/3*d**2 + 2/3 + q*d.
-2*(d - 1)*(d + 1)/3
Let b = -404 - -407. Let v(s) be the first derivative of s - 1/2*s**2 + 1/12*s**b + 6. What is i in v(i) = 0?
2
Let l(w) = 4*w**3 - 4*w**2 + 3*w - 3. Let a be 2*1 + (-1 - (-28)/(-7)). Let j(s) = 11*s**3 - 11*s**2 + 8*s - 8. Let z(n) = a*j(n) + 8*l(n). Factor z(q).
-q**2*(q - 1)
What is s in -1/3*s**2 - 1/3*s**3 + 1/3*s + 1/3 = 0?
-1, 1
Suppose -20 + 83 = 7*c. Find z, given that -3*z**2 - 7 - z + c + 2*z**2 = 0.
-2, 1
Let c(i) be the first derivative of -i**9/7560 - i**8/2100 - i**7/2100 - 4*i**3/3 - 6. Let m(w) be the third derivative of c(w). Factor m(g).
-2*g**3*(g + 1)**2/5
Let n = -1654 - -1654. Let u + 1/2*u**2 - 1/2*u**3 + n = 0. Calculate u.
-1, 0, 2
Let g(j) be the first derivative of -1/5*j**5 + 2/3*j**3 + 0*j**2 + 2 + 3*j + 1/15*j**6 - 1/6*j**4. Let p(q) be the first derivative of g(q). Factor p(w).
2*w*(w - 2)*(w - 1)*(w + 1)
Factor -12 - 22/3*h - 2/3*h**2.
-2*(h + 2)*(h + 9)/3
Let z(k) be the second derivative of 0 - 1/3*k**6 + 7/12*k**4 + 1/3*k**3 + 10*k + 0*k**2 + 1/20*k**5. Factor z(d).
-d*(d - 1)*(2*d + 1)*(5*d + 2)
Let p(i) be the second derivative of i**7/189 - 4*i**6/135 - i**5/30 + 17*i**4/27 - 52*i**3/27 + 8*i**2/3 - 337*i. Determine f so that p(f) = 0.
-3, 1, 2
Let s(f) be the first derivative of -f**6/200 - f**5/50 - f**4/40 - 15*f**2/2 - 8. Let y(o) be the second derivative of s(o). Factor y(n).
-3*n*(n + 1)**2/5
Find p such that -140*p + 72 - 220 - 832 - 5*p**2 = 0.
-14
Let a(n) be the second derivative of -20*n + 2/15*n**5 + 0*n**4 - 2/45*n**6 + 0 + 2/3*n**2 - 4/9*n**3. Factor a(y).
-4*(y - 1)**3*(y + 1)/3
Let a be ((-35)/(-98))/(5/6). Let a*i**2 + 48/7 + 24/7*i = 0. What is i?
-4
Suppose 5*b = 7*b - 6. Suppose 8*q - 10 = b*q. Find y, given that -y**3 + 0*y**q - 3*y**4 - y**3 - y**2 + 2*y**4 = 0.
-1, 0
Let h(f) be the third derivative of f**5/15 - 24*f**3 - 119*f**2. Suppose h(v) = 0. What is v?
-6, 6
Let m = 398 + -398. Let h(v) be the third derivative of m*v**4 + 0 - 1/20*v**5 + 4*v**2 + 0*v**3 + 0*v + 1/120*v**6. Factor h(n).
n**2*(n - 3)
Let k(s) = -s**3 - 14*s**2 + 4. Let r be k(-14). Let d(t) = -t**3 + 5*t**2 - 4*t + 3. Let j be d(r). Factor 0*a**4 + 0*a**2 + 4/3*a**j + 0 - 2/3*a - 2/3*a**5.
-2*a*(a - 1)**2*(a + 1)**2/3
Let r(i) = -i**4 + i**3 - i**2 + 1. Let l(y) = 8*y**4 + 12*y**3 + 20*y**2 - 18*y - 22. Let m(d) = -2*l(d) - 12*r(d). Factor m(q).
-4*(q - 1)*(q + 1)**2*(q + 8)
What is r in -450/7*r + 1/7*r**2 + 50625/7 = 0?
225
Let f(b) be the third derivative of 0*b + 5*b**2 - 1/132*b**4 + 0*b**3 + 1/1155*b**7 - 1/330*b**5 + 1/660*b**6 + 0. Factor f(z).
2*z*(z - 1)*(z + 1)**2/11
Let -4 + 14/3*n**3 - 2/9*n**4 + 110/9*n - 38/3*n**2 = 0. What is n?
1, 18
Let o(t) be the third derivative of -t**6/60 - 3*t**5/5 - 11*t**4/4 - 16*t**3/3 + 4*t**2 - 5. Factor o(m).
-2*(m + 1)**2*(m + 16)
Let w(a) be the third derivative of 0 + 36*a**2 + 1/240*a**5 + 1/32*a**4 + 1/12*a**3 + 0*a. Factor w(l).
(l + 1)*(l + 2)/4
Let k(c) be the second derivative of c**5/15 - c**4/2 + 4*c**3/3 - 19*c**2/2 - 15*c. Let w(d) be the first derivative of k(d). Factor w(l).
4*(l - 2)*(l - 1)
Let a = -28 + 33. Suppose 2*d = a + 1. Solve -c**4 - 9*c**2 + 20*c**3 + 18*c + 10*c - 8 - d*c**4 - 27*c**2 = 0.
1, 2
Let s(u) be the second derivative of -u**5/120 - u**4/192 - 29*u**2/2 + 28*u. Let i(m) be the first derivative of s(m). What is l in i(l) = 0?
-1/4, 0
Let r(x) be the second derivative of 3*x**7/35 - x**6/5 + 2*x**5/15 + 13*x**2/2 - 12*x. Let k(u) be the first derivative of r(u). Solve k(y) = 0.
0, 2/3
Determine h, given that h**4 + 80/3*h + 148/3*h**2 + 0 + 44/3*h**3 = 0.
-10, -4, -2/3, 0
Determine q, given that -1/2*q**4 - 1280*q + 4096 - 23*q**3 - 336*q**2 = 0.
-16, 2
Suppose -268*b = -271*b. Let u(r) be the second derivative of -