1 + 22*k**2 + 4. Determine x so that i(x) = 0.
2/5, 1
Let g(f) = 22*f**2 + 36*f. Let t(d) = 7*d**2 + 12*d. Let z(m) = 3*g(m) - 10*t(m). Factor z(i).
-4*i*(i + 3)
Let x(z) be the third derivative of z**9/60480 - z**8/10080 + z**7/5040 - z**5/20 - 3*z**2. Let d(j) be the third derivative of x(j). Factor d(h).
h*(h - 1)**2
Solve 2*a**5 - 28*a + 24*a**2 + 32*a**3 - 6*a**5 + 138 - 162 = 0 for a.
-2, -1, 1, 3
Suppose -14*d - 4 = -16*d. Determine t so that t**2 - 2*t**2 - 2*t**2 - t**d + 8*t = 0.
0, 2
Let s(z) = -3*z**3 + z + 6*z**2 + 2*z**3 + 0*z**2 - 3. Let d be s(6). Factor 0 + 0*n - 2/5*n**2 - 2/5*n**4 - 4/5*n**d.
-2*n**2*(n + 1)**2/5
Let n(s) be the third derivative of 0 - 1/420*s**6 + 0*s**3 + 0*s - 1/210*s**5 + 0*s**4 + s**2. Factor n(v).
-2*v**2*(v + 1)/7
Let n be (48/18)/(2/3). Suppose x - 2*x = -4*o + 3, n*o + 12 = 4*x. Suppose 2*s**4 - s**o + s**3 + s**3 - 3*s**4 = 0. What is s?
0, 1
Suppose 2*j - 3*j = -3*z + 4, 2*j = -2*z. Suppose -z + 1/2*f**3 - 1/2*f + f**2 = 0. Calculate f.
-2, -1, 1
Suppose 7*b - 5*q = 4*b + 20, 4*b - 21 = q. Let m(u) be the second derivative of 2/7*u**2 + 1/35*u**6 - 3/7*u**3 - 11/70*u**b + 0 + 5/14*u**4 + u. Factor m(v).
2*(v - 1)**3*(3*v - 2)/7
Factor -1 + 0 - 111*t**3 - 69*t**3 - 256*t**4 - 96*t**2 - 16*t - 76*t**3.
-(4*t + 1)**4
Let n(u) = -56*u - 221. Let p be n(-4). Determine t, given that -p - 3/2*t**2 + 9/2*t = 0.
1, 2
Let q = 34 - 18. Suppose 4*r = q, -m + 4*r + 19 = 4*m. Factor -8*t + 0*t**3 + t**3 + m*t.
t*(t - 1)*(t + 1)
Factor -5*b**5 + b - 2*b**3 - 6*b + 4*b**3 + 8*b**3.
-5*b*(b - 1)**2*(b + 1)**2
Let p(z) = z**3 - 16*z**2 - 19*z + 38. Let o be p(17). Factor 0*q**o + 2/3*q**2 + 0*q - 1/3*q**5 + 0 + q**3.
-q**2*(q - 2)*(q + 1)**2/3
Factor 0*n - 1/7 + 1/7*n**2.
(n - 1)*(n + 1)/7
Suppose 0 = w + 2*a, 0 = -4*w - 2*a - 2*a + 4. Suppose w*b = -b. Determine j so that -1/5*j + 1/5*j**5 - 2/5*j**4 + 0 + 2/5*j**2 + b*j**3 = 0.
-1, 0, 1
What is h in 10*h**2 - 2 - 3 + 5*h**5 + 0*h - 5*h**4 + 5*h - 10*h**3 = 0?
-1, 1
Let y(z) be the first derivative of -2*z**6/3 - 68*z**5/5 - 79*z**4 - 188*z**3/3 + 160*z**2 + 256*z - 33. Suppose y(a) = 0. Calculate a.
-8, -1, 1
Let a(c) = -c**3 + 1. Let k(x) = -2*x - 7 + 3*x**3 + 2 + 5*x**3 - 1. Let f be (2/2 - 0)/1. Let b(j) = f*k(j) + 6*a(j). Factor b(u).
2*u*(u - 1)*(u + 1)
Suppose -53*u - 4*u**2 - 18*u**2 + 47*u = 0. Calculate u.
-3/11, 0
Let m = -28 + 32. Find p, given that -19*p**3 + p - 12*p - p**5 + 7*p**m + 4 - 5*p + 25*p**2 = 0.
1, 2
Let z(a) be the second derivative of -a**7/63 - 2*a**6/15 - 13*a**5/30 - 2*a**4/3 - 4*a**3/9 + 6*a + 3. Solve z(l) = 0 for l.
-2, -1, 0
Let r(t) = t - 11. Let u be r(5). Let v be ((-2)/u)/((-8)/(-72)). Factor 32/11*l**4 + 20/11*l + 6*l**2 + 2/11 + 80/11*l**v.
2*(l + 1)**2*(4*l + 1)**2/11
Let u(h) be the second derivative of -h**6/10 + 9*h**5/10 - 3*h**4 + 5*h**3 - 9*h**2/2 + h + 3. Factor u(r).
-3*(r - 3)*(r - 1)**3
Let t(k) be the second derivative of -k**5/140 + 5*k**4/84 - 4*k**3/21 + 2*k**2/7 + 7*k. Factor t(n).
-(n - 2)**2*(n - 1)/7
Let z = 6/5 - -2. Let d = z - 14/5. Factor -4/5 + d*v**3 + 0*v**2 - 6/5*v.
2*(v - 2)*(v + 1)**2/5
Let k be (-2)/(-7) + (-84)/(-49). Suppose 2*z**2 - 3*z**3 - 2*z**k + 2*z**3 = 0. What is z?
0
Solve -406*m**2 + 412*m**2 + 3*m**3 - 3*m**5 + 3*m**3 - 3 - 3*m - 3*m**4 = 0.
-1, 1
Suppose -4*g = g - 10. Let n be 3 + -2 + (3 - g). Determine p, given that 0 + 1/4*p**n + 1/4*p = 0.
-1, 0
Let d(j) = -5*j**2 - 28*j - 47. Let o(i) = -135*i**2 - 755*i - 1270. Let r(b) = 55*d(b) - 2*o(b). Factor r(u).
-5*(u + 3)**2
Let m(y) = -2*y**2 + 4*y - 2. Let f(w) = -2*w - 5. Let z(t) = -t - 3. Let r(j) = 3*f(j) - 5*z(j). Let x(q) = -m(q) - 8*r(q). Determine a, given that x(a) = 0.
-1
Suppose 0 = 2*v - 2 - 2. Let t(r) be the first derivative of 0*r - 1/18*r**4 - 3 + 0*r**3 + 1/9*r**v. Suppose t(i) = 0. Calculate i.
-1, 0, 1
Let q = 49/8 - 139/24. Let 0*w - 2/3*w**2 + 0 + 1/3*w**3 + q*w**4 = 0. What is w?
-2, 0, 1
Let g = -933 - -6551/7. Factor -20/7*j**3 + 2/7 + 10/7*j**4 - 10/7*j + g*j**2 - 2/7*j**5.
-2*(j - 1)**5/7
Let y = -1/163 - -333/1141. Find w, given that -y*w + 4/7 - 2/7*w**2 = 0.
-2, 1
Factor 4/3*n**2 + 4/3*n - 4/3*n**3 - 4/3.
-4*(n - 1)**2*(n + 1)/3
Let q(m) be the first derivative of -m**7/63 - m**6/9 - m**5/3 - 5*m**4/9 - 5*m**3/9 - m**2/3 + 2*m + 1. Let a(l) be the first derivative of q(l). Factor a(f).
-2*(f + 1)**5/3
Let b(q) = q**3 + 2*q**2 - 5*q - 3. Let s be b(-3). Suppose 25 = 2*k + s*k. Suppose 9*a**3 + 2*a - k*a + a - 7*a**3 = 0. What is a?
-1, 0, 1
Let b be 42/28 - 2/4. Let d be (1/(-2))/(b + -2). Factor 1/4*p**2 - d - 1/4*p.
(p - 2)*(p + 1)/4
Suppose -4*w = -4*w - 3*w. Let m(c) be the first derivative of w*c**2 - 2/27*c**3 + 0*c + 3. Find x, given that m(x) = 0.
0
Suppose -u - 4*u + 15 = 0. Let h(o) be the first derivative of -13/6*o**2 - 7/15*o**5 + 2 - 2/3*o - 23/12*o**4 - 3*o**u. Find l such that h(l) = 0.
-1, -2/7
Let o(h) = -13*h**2 - 2*h. Let v(t) = 38*t**2 + 6*t. Let a(y) = -14*o(y) - 5*v(y). Factor a(d).
-2*d*(4*d + 1)
Let v(c) be the second derivative of c**4/4 - 5*c**3 + 75*c**2/2 - 4*c - 6. Let v(w) = 0. What is w?
5
Let t be (2 - 1) + (15 - 1). Suppose 0 = -5*y - t, -2*m - 3*y - 9 + 0 = 0. Solve -1/5*i**4 + 1/5*i + 1/5*i**2 - 1/5*i**3 + m = 0.
-1, 0, 1
Let a(d) = 4*d**2 - 2*d - 1. Let p be a(-1). Factor 42*y**4 - p*y**3 + 4*y**3 - 6*y**4 + 9*y**3.
4*y**3*(9*y + 2)
Let f be 3 - (24/(-2))/(-4). Suppose 0 = -r - f*r. Factor r*t**2 - 3/4*t**4 - 3/4*t**3 + 0*t + 0.
-3*t**3*(t + 1)/4
Let a(v) be the second derivative of v**5/40 + v**4/24 - v**3/6 - 4*v. Factor a(f).
f*(f - 1)*(f + 2)/2
Let b(m) be the first derivative of 0*m**3 + 1/10*m**4 + 1/15*m**6 - 4/25*m**5 + 0*m**2 + 0*m + 2. Factor b(p).
2*p**3*(p - 1)**2/5
Let s(b) be the third derivative of b**8/1512 + 4*b**7/945 + b**6/108 + b**5/135 - 18*b**2. Factor s(f).
2*f**2*(f + 1)**2*(f + 2)/9
Let y(t) be the first derivative of -1 + 3/4*t**4 - 6*t - 4*t**3 + 15/2*t**2. Determine w so that y(w) = 0.
1, 2
Let d be ((6 - 4) + 2)/2. Let m(g) be the first derivative of -1 + 49/8*g**4 + 77/6*g**3 + d*g + 8*g**2. What is w in m(w) = 0?
-1, -2/7
Let h(j) = 3*j**2 + 8*j + 4. Let n(y) = y**2 + 1. Let f(d) = h(d) - 4*n(d). Let i be f(7). Factor -2*g**2 - 2*g**4 + g**3 - 10*g**3 - i*g**4.
-g**2*(3*g + 1)*(3*g + 2)
Let n be 32/(-6)*9/(-2). Suppose -4*o + 21 = 3*i, 0 = -3*i + o - 6*o + n. Determine g, given that -2/9*g**4 - 2/9*g**i + 0 + 2/9*g + 2/9*g**2 = 0.
-1, 0, 1
Let g be (-175)/21 - 4/6. Let m be 12/g - (-2 - 0). Factor 0*a**3 - 1/3*a**5 + 0 + 2/3*a**4 - m*a**2 + 1/3*a.
-a*(a - 1)**3*(a + 1)/3
Let s(n) be the third derivative of n**6/12 + 17*n**5/30 + 4*n**4/3 + 4*n**3/3 + 2*n**2. Factor s(w).
2*(w + 1)*(w + 2)*(5*w + 2)
Let r(d) = d**2 + 3*d. Let z be r(-3). Suppose 5*h**2 - 2*h**3 - 4*h - 4*h**2 + 5*h**2 + z*h**3 = 0. Calculate h.
0, 1, 2
Let v(t) = -t**3 + t**2 - 2*t. Let a(d) be the third derivative of d**6/120 + 2*d**2. Let r(x) = -2*a(x) - v(x). Factor r(y).
-y*(y - 1)*(y + 2)
Let u(x) be the first derivative of -1/3*x**4 + 1/12*x**3 + 0*x**2 + 2/5*x**5 - x - 3. Let i(t) be the first derivative of u(t). Factor i(a).
a*(4*a - 1)**2/2
Let g(p) be the first derivative of p**6/540 - p**5/180 + p**3/3 - 3. Let h(z) be the third derivative of g(z). Find f, given that h(f) = 0.
0, 1
Let t(b) = b**3 - 17*b**2 + 14*b + 32. Let p be t(16). Factor p*k**3 + 2/13*k**4 + 0 + 0*k + 0*k**2.
2*k**4/13
Let u be 1 - 12/(-5) - 24/8. Factor -2/5*p**3 + u - 2/5*p**2 + 2/5*p.
-2*(p - 1)*(p + 1)**2/5
Let y = 71/52 - 8/13. Let 0*v + 3/4*v**3 + 0 + 0*v**2 - y*v**4 = 0. What is v?
0, 1
Let j(g) be the second derivative of -g**5/100 + g**4/12 - 4*g**3/15 + 2*g**2/5 - 2*g. Let j(m) = 0. Calculate m.
1, 2
Let y(w) = 3*w**4 + 17*w**3 + 34*w**2 + 24*w + 8. Let c(o) = 3*o**4 + 17*o**3 + 34*o**2 + 25*o + 8. Let n(m) = 4*c(m) - 3*y(m). Factor n(r).
(r + 1)*(r + 2)**2*(3*r + 2)
Factor 13/6*c**2 + 8*c + 1/6*c**3 + 6.
(c + 1)*(c + 6)**2/6
Let a be (-2)/(6 + ((-164)/12 - -6)). Suppose 72/5*k**2 + a - 39/5*k + 12/5*k**4 - 51/5*k**3 = 0. Calculate k.
1/4, 1, 2
Let d(b) = b**2. Let s be d(-2). Let y be (-16)/(-28) - s/14. Factor 0*g**2 + y*g**3 + 0 - 2/7*g.
2*g*(g - 1)*(g + 1)/7
Factor 0*k**2 + 1/3*k**4 + 1/3*k**3 + 0*k + 0.
k**3*(k + 1)/3
Let d(p) be the second derivative of p**5/20 - p*