i**4 + 4*i**z - 4*i**3 + 3*i**5 = 0.
-2/7, 0, 2
Let f = 419 - 414. Let y(h) be the third derivative of -3*h**2 + 1/105*h**6 + 1/7*h**3 + 0*h - 11/84*h**4 + 0 + 4/105*h**f. Factor y(g).
2*(g + 3)*(2*g - 1)**2/7
Let z(k) be the second derivative of k**7/147 - k**5/70 + 382*k. Determine n so that z(n) = 0.
-1, 0, 1
Suppose -2/7*q**2 - 50/7 + 20/7*q = 0. Calculate q.
5
Let j = -4 - -7. Suppose 5*a + 9 = -2*c, 3*a + 15 = 3*c - j. Find g, given that -12 - 17*g + 8*g**c + 5*g**2 - 6 - 7*g - g**2 - 2*g**4 = 0.
-1, 3
Let v(w) = -2*w**3. Let f(i) = -24*i**3 - 72*i**2 - 714*i - 1156. Let q(z) = -2*f(z) + 22*v(z). Factor q(o).
4*(o + 2)*(o + 17)**2
Let -14/15*s + 0 - 2/15*s**2 = 0. What is s?
-7, 0
Let t(l) be the second derivative of -l**4/42 - 17*l**3/21 - 6*l**2 + 12*l + 5. Factor t(i).
-2*(i + 3)*(i + 14)/7
Let v be 3/24*2 + 143/(-44). Let f be (-12)/8 + (-6)/v. Factor -3/4*z - 3/4*z**4 + 1/4*z**5 + 1/4 + 1/2*z**2 + f*z**3.
(z - 1)**4*(z + 1)/4
Let m be ((-50)/700)/(20/14 - 2). Let i(w) be the first derivative of 1/12*w**3 + 0*w + m*w**2 + 3. Determine n so that i(n) = 0.
-1, 0
Suppose 2 = 11*j - 15*j - 2*s, -3*j - s = 1. Let m(g) be the third derivative of 0*g - 1/360*g**5 - 3*g**2 + j - 1/72*g**4 - 1/36*g**3. Factor m(n).
-(n + 1)**2/6
Let w = 604 - 602. Let u = -12 + 14. Determine h so that 16/7 - 52/7*h**w - 40/7*h - u*h**3 = 0.
-2, 2/7
Let a be (1 + (-4)/6)*6. Let 8*l**a + 3*l**4 - 16 - 12*l - 4*l**4 + 12*l = 0. Calculate l.
-2, 2
Let d be 5 + (-230)/1800*39. Let k(m) be the second derivative of 0 - m + 0*m**2 + 0*m**3 + d*m**5 + 1/36*m**4. Let k(j) = 0. Calculate j.
-1, 0
Let w(l) = 2*l - 7. Let a(b) = 3*b - 11. Let x(k) = 5*a(k) - 8*w(k). Let z be x(-3). What is f in 5/2*f - 1/2*f**3 + 1/2*f**z - 1 - 3/2*f**2 = 0?
-2, 1
Let g(b) be the third derivative of -2*b**7/105 + 7*b**6/30 - 6*b**5/5 + 10*b**4/3 - 16*b**3/3 + 45*b**2. Factor g(y).
-4*(y - 2)**3*(y - 1)
Suppose 80 = -2*c + 6*c. Factor -6*z - 10*z**2 - z**5 - 4*z**5 + c*z**3 + 5 + 5 - 9*z.
-5*(z - 1)**3*(z + 1)*(z + 2)
Let l(v) be the first derivative of -2*v**5 - 39*v**4/2 - 38*v**3 - 17*v**2 + 12*v - 20. Determine k so that l(k) = 0.
-6, -1, 1/5
Let y = 1 + 11. Suppose 2*o - 4*f = y, -3*o + 3*f + 9 = -4*o. Factor -2 - 6*w + 6*w**4 + 4*w**3 - 22*w**2 + 2*w**5 + 18*w**2 + o*w**5.
2*(w - 1)*(w + 1)**4
Let w be ((-22)/(-3))/(8/36). Let o be ((-14)/(-21))/(1/w). What is l in 0*l**5 - 6*l**3 - o*l**2 + 26*l**2 + 4*l**4 - l**5 - l = 0?
0, 1
Let g(j) be the second derivative of 1/48*j**4 - 1/24*j**3 + 0 - 9*j + 0*j**2. Solve g(o) = 0.
0, 1
Let d(r) be the first derivative of -r**6/180 + r**5/5 - 3*r**4 + 14*r**3/3 - 3. Let q(s) be the third derivative of d(s). Factor q(v).
-2*(v - 6)**2
Suppose -u + 12 = 2. Let a be (2 - 8/u)/(63/105). Factor -16/3*n**3 - 4/3 - 8*n**a - 4/3*n**4 - 16/3*n.
-4*(n + 1)**4/3
Determine o, given that -6*o**3 + 36*o**4 + 35*o**4 - 2*o**5 + 26*o**4 - 89*o**4 = 0.
0, 1, 3
Find t such that 28*t + 20*t + 21*t**2 + 17*t - 36*t + 7*t + 3*t**3 = 0.
-4, -3, 0
Suppose -139*y + 228 + 189 = 0. Factor -2/13*x - 4/13*x**2 - 2/13*x**y + 0.
-2*x*(x + 1)**2/13
Let i(o) be the first derivative of o**6/42 + 11*o**5/35 + 23*o**4/14 + 30*o**3/7 + 81*o**2/14 + 27*o/7 + 777. Factor i(g).
(g + 1)**2*(g + 3)**3/7
Let u(k) be the second derivative of -k**5/5 - 5*k**4/3 - 16*k**3/3 - 8*k**2 + 13*k - 6. Factor u(y).
-4*(y + 1)*(y + 2)**2
What is c in 42 - 161*c**3 + 18 - 53*c + 133*c - 5*c**2 + 136*c**3 = 0?
-6/5, -1, 2
Let b(v) = 18*v**3 - 47*v**2 - 4*v + 47. Let d(g) = 8*g**3 - 23*g**2 - 2*g + 23. Let p(y) = 3*b(y) - 7*d(y). Find j, given that p(j) = 0.
-1, 1, 10
Let m(z) be the first derivative of -z**5/5 + 8*z**4 + z**3/3 - 16*z**2 + 117. Factor m(o).
-o*(o - 32)*(o - 1)*(o + 1)
Let w(t) be the first derivative of -4/7*t + 15 - 2/7*t**3 - 5/7*t**2. Determine x so that w(x) = 0.
-1, -2/3
Let k(p) = 2*p**3 + 4*p**2 - 7*p + 8. Let q be k(0). Let d be 1/((-22)/(-8) - 2). What is u in 7*u**2 + q*u - 49/3*u**3 + d = 0?
-2/7, 1
Let f(k) be the first derivative of k**6/15 - 8*k**5/25 + 3*k**4/10 + 8*k**3/15 - 4*k**2/5 + 29. Find y such that f(y) = 0.
-1, 0, 1, 2
Let b be (1 - 2/(-6))/((-4646)/(-303)). Factor -28/23*i - b*i**2 - 98/23.
-2*(i + 7)**2/23
Let a = -6695 - -6698. Factor 2*n - 2/3 + 2/3*n**2 - 2*n**a.
-2*(n - 1)*(n + 1)*(3*n - 1)/3
Solve 83/7*m**2 + 1/7*m**4 - 30/7*m**3 - 54/7*m + 0 = 0 for m.
0, 1, 2, 27
Let a(j) be the third derivative of -2*j - 1/40*j**6 - j**2 + 3/8*j**4 + 0 + j**3 + 0*j**5. Factor a(t).
-3*(t - 2)*(t + 1)**2
Let l(d) = 4*d**2 - 4*d + 6. Let f(s) = 0 + 0 + 4*s - 5*s**2 + 2*s**2 - 5. Let t(m) = -4*m - 22. Let j be t(-4). Let v(a) = j*f(a) - 5*l(a). Factor v(w).
-2*w*(w + 2)
Let n(s) = 26*s**2 + 315*s - 341. Let x(q) = -9*q**2 - 105*q + 114. Let j(i) = -4*n(i) - 11*x(i). Factor j(m).
-5*(m - 1)*(m + 22)
Let d = -1 - 3. Let f be (-1)/d*-2*6. Let h(s) = 2*s**3 - s**2 + 2*s + 3. Let j(z) = 5*z**3 - 2*z**2 + 5*z + 8. Let k(x) = f*j(x) + 8*h(x). Factor k(o).
o*(o - 1)**2
Let r be 36/14 + (-90)/(-210). Factor r - 5/2*x**2 + 13/2*x.
-(x - 3)*(5*x + 2)/2
Let f be (-183)/114*-4 + (28 - 34). Solve f - 6/19*j - 2/19*j**2 = 0 for j.
-4, 1
Let x(b) be the second derivative of b**7/280 + b**6/60 + b**5/40 - b**3/3 + 10*b. Let z(k) be the second derivative of x(k). Find p, given that z(p) = 0.
-1, 0
Let k(r) = r**2 + 11*r - 4. Let q be k(-11). Let n be (-3)/9*(-6)/q*-1. What is j in 0 + n*j**3 + 1/2*j**2 + 1/6*j**4 + 1/6*j = 0?
-1, 0
Suppose 11*s = 9*s + 4*q - 24, 30 = -2*s + 5*q. What is f in -4/5*f - 2/5*f**4 + 0*f**3 + s + 6/5*f**2 = 0?
-2, 0, 1
Factor 1/4*f**3 - 9/4*f - 3/2*f**2 + 7/2.
(f - 7)*(f - 1)*(f + 2)/4
Let t(k) = k**2 + 2*k - 3. Let d be t(-11). Let v = -94 + d. Determine b so that 4/7 - 2/7*b**3 + 2/7*b - 4/7*b**v = 0.
-2, -1, 1
Let r be (16/28)/((-5)/(-35)). Factor 0 + 3/5*q + 6/5*q**r - 3/5*q**5 - 6/5*q**2 + 0*q**3.
-3*q*(q - 1)**3*(q + 1)/5
Let h = 16/125877 + 72294763/664882314. Let m = h + -1/278. Factor 0 + m*f**2 - 4/19*f.
2*f*(f - 2)/19
Let m(z) be the second derivative of z**7/1470 - z**6/630 - z**5/105 + 14*z**3/3 - 5*z. Let k(b) be the second derivative of m(b). Factor k(t).
4*t*(t - 2)*(t + 1)/7
Let v(j) = -19*j**2 + 167*j + 13. Let a(q) = -3*q**2 + 28*q + 2. Let n(x) = -39*a(x) + 6*v(x). Factor n(w).
3*w*(w - 30)
Let a = -2362 + 2362. Solve 0*n**2 + 0*n + a*n**3 - 3/2*n**5 + 3*n**4 + 0 = 0.
0, 2
Let l be 1098/1656 - (-12)/138. Solve 0*g + 3/4*g**2 - l = 0 for g.
-1, 1
Let s(h) be the third derivative of h**8/6720 - h**7/240 + h**6/20 - 7*h**5/60 + 22*h**2 - 2. Let n(c) be the third derivative of s(c). Factor n(g).
3*(g - 4)*(g - 3)
Factor -3*b**2 - 27*b + 799 + 679 - 1208.
-3*(b - 6)*(b + 15)
Let x(s) = -s - 9. Let h be x(-13). Suppose 0*p = -h*q - 2*p + 20, 0 = -2*q + 3*p + 18. Determine t so that -q*t**3 + 6*t + 6*t**3 + 9*t**2 - 3*t**4 = 0.
-1, 0, 2
Suppose 2*c + 6 = -y + 23, 5*c - 2 = -y. Let a(z) = -66*z**2 - 27*z + 39. Let t(h) = -5*h**2 - 2*h + 3. Let o(q) = y*t(q) - 2*a(q). Factor o(v).
-3*(v - 1)*(v + 1)
Let f(o) be the first derivative of o**6/42 - 17*o**5/35 + 24*o**4/7 - 248*o**3/21 + 152*o**2/7 - 144*o/7 + 286. Suppose f(d) = 0. What is d?
2, 9
Suppose -207 - 286*v + 36*v**2 + 47 + 630*v = 0. Calculate v.
-10, 4/9
Let 0*f**2 + 67*f**4 - 5*f**2 - 63*f**4 + f**2 = 0. What is f?
-1, 0, 1
Let z(g) be the first derivative of 1/30*g**5 + g + 0*g**2 + 0*g**3 + 1/108*g**4 + 4/135*g**6 + 3. Let v(m) be the first derivative of z(m). Factor v(c).
c**2*(2*c + 1)*(4*c + 1)/9
Let z(i) be the first derivative of -4*i**3/3 + 50*i**2 - 294. Factor z(b).
-4*b*(b - 25)
Let i = -1683 + 1683. Let q(r) be the third derivative of 1/510*r**5 + 4/51*r**3 + 6*r**2 + i*r + 1/51*r**4 + 0. Factor q(j).
2*(j + 2)**2/17
What is g in -2*g**3 + 64/3 - 280/9*g + 44/3*g**2 - 1/9*g**4 = 0?
-24, 2
Let n = -10726 - -10726. Factor -4/5*p**3 + n*p + 0 - 2/5*p**2 - 2/5*p**4.
-2*p**2*(p + 1)**2/5
Let j be (-22)/((-22)/(-9)) - (-170)/18. Solve 0 - 2/9*x**3 - 2/9*x**2 + j*x = 0.
-2, 0, 1
Suppose -3*k + 495 = 3*m, -5*k + 0*k = -4*m + 642. Let a = 655/4 - m. Factor -9/4 + a*r**2 + 3/2*r.
3*(r - 1)*(r + 3)/4
Let w be 0/(-12 - -6)*5/(-5). Let a(h) be the second derivative of 1/20*h**5 + w*h**3 - 2*h + 0*h**2 + 1/18*h**4 + 0 + 1/90*h**6. Factor a(z).
z**2*(z + 1)*(z + 2)/3
Let m(w) = 20*w -