-9 - -6). Let c(q) be the second derivative of 2/9*q**4 + 1/15*q**h - 1/3*q**2 - 1/15*q**6 + 0 - 2/9*q**3 + 2*q. What is j in c(j) = 0?
-1, -1/3, 1
Let q(v) = 3*v**3 - v**2 + 2*v - 1. Let b be q(1). Factor 1/3*s**b - s**2 + 2/3*s**4 - 1/3*s + 1/3.
(s - 1)*(s + 1)**2*(2*s - 1)/3
Let g(k) be the third derivative of k**5/60 - 5*k**4/6 + 50*k**3/3 - 30*k**2. Factor g(x).
(x - 10)**2
Let v(z) be the third derivative of -z**8/70560 + z**7/17640 + z**5/30 - 3*z**2. Let u(r) be the third derivative of v(r). What is c in u(c) = 0?
0, 1
Let t = 3/32 + -7/160. Let c(w) be the first derivative of 0*w + 2 - t*w**5 + 3/16*w**4 - 1/4*w**3 + 1/8*w**2. Factor c(f).
-f*(f - 1)**3/4
Let b(r) be the second derivative of -r**4/102 - 2*r**3/51 + 8*r. Find a such that b(a) = 0.
-2, 0
Factor 17 - 5 - 12 + 2*k**3 - 6*k**2.
2*k**2*(k - 3)
Factor -6 - 3/8*m**2 - 3*m.
-3*(m + 4)**2/8
Suppose -w**2 - 4*w**2 + 21*w - 29*w + 18*w = 0. Calculate w.
0, 2
Factor 0*z**3 + 0 + 0*z**2 + 0*z + 3/5*z**4.
3*z**4/5
Let t(f) be the third derivative of -f**6/60 - 2*f**5/45 + 5*f**4/36 + 2*f**3/9 + 13*f**2. Factor t(z).
-2*(z - 1)*(z + 2)*(3*z + 1)/3
Let i be 24/(-16)*8/(-9). Factor 0*y + 0*y**2 - 2/3*y**4 + i*y**3 + 0 - 2*y**5.
-2*y**3*(y + 1)*(3*y - 2)/3
Let s(x) be the first derivative of 6 + 3*x**3 + 3*x + 3/4*x**4 + 9/2*x**2. Factor s(q).
3*(q + 1)**3
Solve -3*z - 4*z**2 - z + 4*z**5 + 12*z**2 - 8*z**4 = 0 for z.
-1, 0, 1
Suppose -4*n = -10 - 2. Suppose p + 0 = -n*d + 2, -d = 0. Factor 0*y + 2/5*y**p + 0.
2*y**2/5
Let b be (30/25)/(3 - (-54)/(-20)). Let 3/5*n**2 + 0 + 6/5*n**3 + 3/5*n**b + 0*n = 0. Calculate n.
-1, 0
Let p(j) = j**3 - 4*j**2 + j - 1. Let b be p(4). Let i(t) be the third derivative of 1/21*t**b + 0*t + 0 + 2*t**2 + 1/42*t**4 + 1/210*t**5. Factor i(k).
2*(k + 1)**2/7
Let k(u) = -13*u**3 - 21*u**2 - 8*u. Let p(x) = -7*x**3 - 11*x**2 - 4*x. Let w(l) = 3*k(l) - 5*p(l). Determine g so that w(g) = 0.
-1, 0
Let m(q) be the third derivative of -q**10/35280 + q**9/7560 - q**8/4704 + q**7/8820 - q**4/24 - 3*q**2. Let p(d) be the second derivative of m(d). Factor p(n).
-2*n**2*(n - 1)**2*(3*n - 1)/7
Let b(z) = -z - 6. Let j be b(-5). Let p be 2 + (j + 1)/(-3). Determine w, given that -p + 2*w - 3*w + 0 + w**3 - 2*w = 0.
-1, 2
Suppose -v = z - 3*v - 6, 0 = 4*z + 5*v + 2. Let d(x) be the first derivative of z*x**4 + 2 + 2/5*x**5 + 4*x**3 + 4*x**2 + 2*x. Factor d(w).
2*(w + 1)**4
Let q(n) = 24*n**4 - 81*n**3 - 9*n**2 - 33. Let w(r) = -3*r**4 + 10*r**3 + r**2 + 4. Let f be ((-4)/5)/(5/25). Let u(j) = f*q(j) - 33*w(j). Factor u(g).
3*g**2*(g - 1)**2
Let y be ((-2)/(-5))/(4/(-24)). Let j = 46/15 + y. Factor 0*h + 0 + j*h**2.
2*h**2/3
Suppose 6*m = 4 + 8. Let g(l) be the second derivative of 1/18*l**3 - 2*l + 1/36*l**4 + 0*l**m + 0. Factor g(a).
a*(a + 1)/3
Solve 2/3*t**3 - 4/3*t + 2/3*t**2 + 0 = 0.
-2, 0, 1
Let u(i) = -i**2 - 10*i - 22. Let p be u(-4). Factor 0 + 2/15*m**p + 0*m.
2*m**2/15
Solve -2/3*g + 0 - 2/3*g**2 = 0.
-1, 0
Suppose -4*o = 3*c + 97, 3*c + 4*o + 99 = o. Let k be ((-14)/c)/((-14)/(-10)). What is r in 4/7*r**3 - 2/7*r**4 + 4/7*r**2 - 2/7 - 2/7*r**5 - k*r = 0?
-1, 1
Let u = 22 - 14. Suppose 2*j = -3*t + 23, j - 4 - 10 = -2*t. Determine i so that -u - 9*i + 3*i**3 - j + 6 = 0.
-1, 2
Let u(g) be the second derivative of -2*g**4/15 - 7*g**3/15 + 2*g**2/5 + 5*g. Factor u(y).
-2*(y + 2)*(4*y - 1)/5
Factor 0 - 30*j**2 - 27/2*j**3 - 6*j.
-3*j*(j + 2)*(9*j + 2)/2
Let w(h) = -h**2 + 3*h + 4. Let q be w(3). Solve -5*t**2 + 4 - 2 - 4*t + q*t**3 + 3*t**2 + 0*t**2 = 0 for t.
-1, 1/2, 1
Factor 16*g**2 + 10*g**2 - 31*g**2 - 18*g - 2*g + 25.
-5*(g - 1)*(g + 5)
Let r = 87 + -257/3. Let 16/3*s**2 + 14/3*s + 2*s**3 + r = 0. Calculate s.
-1, -2/3
Let b = 1 - 4. Let s be 3 - (0 + b + 2). Factor -2 - 5 + 6*c + s - 3*c**2.
-3*(c - 1)**2
Let d(b) = -b**3 + 5*b**2 + 6*b + 2. Let y = 7 + -1. Let r be d(y). Factor -4 + 0*k**2 - 2*k + k**r + k**2.
2*(k - 2)*(k + 1)
Let g(x) = -7*x**3 + 7*x**2 + 10*x + 2. Let j(c) = -8*c**3 + 8*c**2 + 10*c + 3. Let v(b) = 3*g(b) - 2*j(b). Factor v(d).
-5*d*(d - 2)*(d + 1)
Let x(v) = -6*v - 6. Let o be x(4). Let s be 4/(-20) + (-6)/o. Factor -2/7*z**2 - 2/7*z**3 + s*z + 2/7*z**5 + 0 + 2/7*z**4.
2*z**2*(z - 1)*(z + 1)**2/7
Let d = 73 + -70. Solve -1/4*c**2 - 3/4*c**4 - 1/4*c**5 - 3/4*c**d + 0 + 0*c = 0 for c.
-1, 0
Let u be 9/36 - (-62)/10. Let c = u + -31/5. Let c*h**3 + 1/4*h + 1/2*h**2 + 0 = 0. Calculate h.
-1, 0
Let b = 1106 + -1102. Find k such that -14/3*k**2 + 4/3*k + 0 - 2*k**b + 16/3*k**3 = 0.
0, 2/3, 1
Let h be 9775/(-10) - 0/(-2). Let d = -931 - h. Let d*r**2 - 76*r**3 + 1 - 23/2*r + 40*r**4 = 0. Calculate r.
1/4, 2/5, 1
Let l = -2/39 + 32/117. Let z = 2/37 + 56/333. Factor -z*i**2 + 0*i + l*i**3 + 2/9*i**4 - 2/9*i**5 + 0.
-2*i**2*(i - 1)**2*(i + 1)/9
Let q(h) be the third derivative of h**5/140 + h**4/14 + 22*h**2. Determine s, given that q(s) = 0.
-4, 0
Let h(j) be the third derivative of 0*j - 6*j**2 - 1/9*j**3 - 1/20*j**6 + 0 - 1/30*j**5 + 5/36*j**4. Factor h(g).
-2*(g + 1)*(3*g - 1)**2/3
Let y(h) = 15*h**3 + 135*h**2 - 326*h + 154. Let l(i) = -3*i**3 - 27*i**2 + 65*i - 31. Let j(u) = 11*l(u) + 2*y(u). Factor j(n).
-3*(n - 1)**2*(n + 11)
Determine a, given that -2/7 + 0*a + 4/7*a**2 - 2/7*a**4 + 0*a**3 = 0.
-1, 1
Suppose 0*f = 2*f + 8. Let r(j) = -2*j**3 - 9*j**2 + 3. Let l(z) = z**3 + 10*z**2 - z - 4. Let h(v) = f*l(v) - 6*r(v). Factor h(m).
2*(m + 1)**2*(4*m - 1)
Let r = 94/33 - 24/11. Factor 4/3 - 2/3*v - r*v**2.
-2*(v - 1)*(v + 2)/3
Factor 3*p + 4/3 + 1/3*p**3 + 2*p**2.
(p + 1)**2*(p + 4)/3
Let f be (-1)/(-4) + 60/16. Let -6/7*m**4 + 32/7*m**3 - f*m**5 + 6/7*m**2 - 4/7*m + 0 = 0. What is m?
-1, -1/2, 0, 2/7, 1
Let f be (16/(-14))/((-10)/35). Suppose -6*v + 20 = -f. Determine m, given that -9/2*m**v + 1/2*m**2 + 0 + 1/6*m - 3/2*m**3 = 0.
-1/3, 0, 1/3
Factor 5*s**2 - 20*s + 1320 - 1320.
5*s*(s - 4)
Let f(k) be the first derivative of -5/4*k**4 - 2/3*k**3 + 0*k - 1/6*k**6 - 4/5*k**5 + 0*k**2 + 4. What is a in f(a) = 0?
-2, -1, 0
Let l(h) be the third derivative of h**9/40320 - h**8/20160 + h**5/60 + h**2. Let a(i) be the third derivative of l(i). Suppose a(r) = 0. What is r?
0, 2/3
Let k(i) = 2*i**2 + 3*i + 1. Let z(q) = q**2 - 4*q - 2. Let p be z(4). Let j(c) = c**2 - 1. Let o(x) = p*j(x) + 2*k(x). Factor o(n).
2*(n + 1)*(n + 2)
Let z(w) = 9*w**2 - 31*w - 16. Let v(i) = -17*i**2 + 63*i + 33. Let j(m) = 6*v(m) + 13*z(m). Let j(l) = 0. Calculate l.
-1/3, 2
Suppose 8 = -8*h + 3*h + 2*m, -3*h - 2*m = -8. Let y(q) be the first derivative of 1/4*q**2 - 1/8*q**4 + 0*q + 1 + h*q**3. Factor y(j).
-j*(j - 1)*(j + 1)/2
Let v(j) be the second derivative of -j**4/48 - j**3/12 - j**2/8 - 3*j. Let v(t) = 0. What is t?
-1
Let x be 2/(2/9) + 1. What is t in 2*t**2 - t**2 + 11*t**3 - x*t**3 = 0?
-1, 0
Suppose 42 = -5*d - 2*p, -3*p = -3*d - 0*p - 42. Let j be d/60 + (-7)/(-18). Factor -4/9*t**3 + 2/9*t**5 + j*t**4 + 2/9*t - 4/9*t**2 + 2/9.
2*(t - 1)**2*(t + 1)**3/9
Let m = -112 - -112. Factor -2*v**2 + 0*v + m - 2/3*v**3.
-2*v**2*(v + 3)/3
Let r(w) be the first derivative of 2*w**5/25 + w**4/10 - 4*w**3/15 - 2. Suppose r(d) = 0. Calculate d.
-2, 0, 1
Let o(u) = -4*u**4 - 4*u**3 - 4*u**2 + 4*u. Let h(f) = -4*f**4 - 4*f**3 - 3*f**2 + 3*f. Let y(m) = 4*h(m) - 3*o(m). Let y(c) = 0. What is c?
-1, 0
Let h(r) = r**2 - 2*r. Let z(u) = -2*u - 2. Let n be z(-6). Let k(y) = -8*y - y**2 + 3*y + y**2 + 3*y**2. Let a(i) = n*h(i) - 4*k(i). Factor a(g).
-2*g**2
Let b(v) be the second derivative of -v**4/54 + 2*v**3/27 - v**2/9 - 4*v. Factor b(a).
-2*(a - 1)**2/9
Factor -20*w**2 + 10*w**2 - 2*w**2 - 4*w**3.
-4*w**2*(w + 3)
Factor -16/9*q + 0*q**3 - 2/3 - 4/3*q**2 + 2/9*q**4.
2*(q - 3)*(q + 1)**3/9
Let y(r) = -36*r**3 - 80*r**2 - 100*r - 24. Let z(b) = 7*b**3 + 16*b**2 + 20*b + 5. Let k(v) = 3*y(v) + 16*z(v). Factor k(o).
4*(o + 1)**2*(o + 2)
Determine x, given that 4/17*x - 2/17 - 2/17*x**2 = 0.
1
Let a(g) = 4 + g - g**2 - 2 + 3*g. Let i be a(3). Suppose -73*r**3 - 23*r**i + 17*r**2 - 6*r + 30*r + 72*r**5 + 4 - 21*r**4 = 0. What is r?
-1, -2/7, 1
Let c = -20/7 + 121/35. Determine g so that -c - 6/5*g - 3/5*g**2 = 0.
-1
Let z(n) be the second derivative of 0*n**3 + 0 + 1/20*n**5 + 0*n**4 + 0*n**2 + 7*n + 1/30*n**6. Solve z(j) = 0.
-1, 0
Let z be (8/12)/(2/24*4). Suppose 0*q = -