 be the third derivative of -p*z**5 + 0*z - 1/12*z**4 + 2*z**2 - 2/9*z**3 + 0. Find q such that d(q) = 0.
-2, -1
Let t(z) = -z**2 - 1 - 4*z - 1 + z**2 + z**2. Let c be t(5). Suppose 4/5*q**c - 4/5*q - 2/5*q**2 + 2/5 = 0. What is q?
-1, 1/2, 1
Let v(t) be the first derivative of 2*t**7/105 + t**6/40 - t**5/60 + t**2/2 + 3. Let n(m) be the second derivative of v(m). Let n(d) = 0. Calculate d.
-1, 0, 1/4
Let o(g) be the first derivative of g**7/840 - g**5/120 + g**3/24 + 2*g**2 - 3. Let q(c) be the second derivative of o(c). Let q(f) = 0. Calculate f.
-1, 1
Let n(u) be the third derivative of u**6/120 - u**5/12 - u**4/4 + 2*u**2 + 8*u. Let n(q) = 0. Calculate q.
-1, 0, 6
Factor -3/7*a**3 + 0 + 12/7*a + 0*a**2.
-3*a*(a - 2)*(a + 2)/7
Suppose -a = -5*a. Let w(n) be the second derivative of -n - 1/9*n**2 - 1/54*n**4 + 2/27*n**3 + a. Determine z so that w(z) = 0.
1
Let c = 10 + -10. Let f(s) = s**3 + 6*s**2 - 6*s + 7. Let i be f(-7). Factor 2/3*r**4 + 0 + 0*r + 2/3*r**5 + c*r**2 + i*r**3.
2*r**4*(r + 1)/3
Let g(r) = 19*r**5 + 13*r**4 + 27*r**3 + 11*r**2 + 11. Let u(s) = 10*s**5 + 6*s**4 + 14*s**3 + 6*s**2 + 6. Let h(c) = -6*g(c) + 11*u(c). Factor h(n).
-4*n**3*(n + 1)*(n + 2)
Let v(r) = -231*r**4 - 480*r**3 - 309*r**2 - 39*r. Let q(z) = -23*z**4 - 48*z**3 - 31*z**2 - 4*z. Let u(n) = -21*q(n) + 2*v(n). Solve u(l) = 0 for l.
-1, -2/7, 0
Let b(n) = 3*n**2 - 5*n + 4. Let q = -9 + 13. Let f(w) = 5*w**2 - 9*w + 7. Let s(p) = q*f(p) - 7*b(p). Factor s(y).
-y*(y + 1)
Let z(a) be the third derivative of 0 - 1/16*a**4 + 0*a + 0*a**3 + 7/160*a**6 + 2*a**2 + 1/16*a**5. What is v in z(v) = 0?
-1, 0, 2/7
Let k be (-201)/536*(-1)/3*4. Factor -1/3 + 5/6*f**2 - k*f.
(f - 1)*(5*f + 2)/6
Let s(h) = 2*h + 1 + h**2 - h - 2*h. Let a be -8*((-18)/4 - -4). Let i(o) = -o**2 - 5*o + 2. Let j(m) = a*s(m) + i(m). Solve j(x) = 0 for x.
1, 2
Factor 10 + 27*w**2 + 8 - 24*w**2 - 15*w.
3*(w - 3)*(w - 2)
Let t(z) be the third derivative of -z**6/300 + z**4/60 - 16*z**2. Factor t(u).
-2*u*(u - 1)*(u + 1)/5
Determine l, given that -27*l**5 - 3*l - 3*l**4 + 9*l**2 - 3*l**2 + 24*l**5 + 6*l**3 - 3 = 0.
-1, 1
Factor 0 + 7/2*q**5 + 0*q - q**2 + 6*q**4 + 3/2*q**3.
q**2*(q + 1)**2*(7*q - 2)/2
Let n = 347826/5 - 69162. Factor -n*x**3 + 528/5*x**2 + 588*x**4 - 48/5*x - 1029/5*x**5 + 0.
-3*x*(x - 2)*(7*x - 2)**3/5
Let t(l) be the third derivative of 0*l - 1/2*l**3 - 3*l**2 - 3/16*l**4 + 3/80*l**6 + 1/140*l**7 + 0 + 1/40*l**5. Suppose t(x) = 0. Calculate x.
-2, -1, 1
Let t = -2/375 + -244/1125. Let v = t - -13/18. Suppose -v*s**4 + 1/4*s**5 + 0 + 0*s**3 - 1/4*s + 1/2*s**2 = 0. Calculate s.
-1, 0, 1
Let f = -2727/524 + -6/131. Let j = -181/36 - f. Determine i so that 0*i + 0 + 2/9*i**3 - j*i**2 = 0.
0, 1
Let g(z) be the first derivative of z**4/10 + 8*z**3/15 + 6. What is u in g(u) = 0?
-4, 0
Let w(c) be the third derivative of c**8/26880 + c**7/10080 - c**6/2880 + 7*c**5/60 + 4*c**2. Let v(g) be the third derivative of w(g). Let v(i) = 0. What is i?
-1, 1/3
Factor 3/2*p**3 - 3*p + 0 - 3/2*p**2.
3*p*(p - 2)*(p + 1)/2
Let a(r) = -2*r**4 + 2*r**3 - 8*r**2 - 6*r - 6. Let d(f) = -5 - 2*f**4 + 3*f**3 - 7*f**2 + 2*f - 2*f**3 - 7*f. Let b(i) = 5*a(i) - 6*d(i). Factor b(y).
2*y**2*(y + 1)**2
Factor 18*m - 2*m**2 - 16 + 5*m - 7*m - 2*m**2.
-4*(m - 2)**2
Let d = -145 - -148. What is t in 1/2 - 1/4*t**d + 1/4*t - 1/2*t**2 = 0?
-2, -1, 1
Let g = -47/5 - -339/35. Let m be (-3)/((-9)/2 - -3). Factor -4/7*t**m + g*t**3 + 2/7*t + 0.
2*t*(t - 1)**2/7
Let r = 8009/89 - 90. Let k = 181/267 + r. Factor -k*i**3 + 0*i**2 + 0*i - 2/3*i**4 + 0.
-2*i**3*(i + 1)/3
Suppose -15 = -4*z + 5. Suppose -1 = -3*o + z. Determine g so that -4/3 - 4/3*g - 1/3*g**o = 0.
-2
Let u(c) = c + 1. Let n(i) = 2*i**2 - 4*i - 6. Suppose -4*l - 5*h = -0*l - 6, -3*l + 4*h + 20 = 0. Let z(r) = l*u(r) + n(r). Factor z(k).
2*(k - 1)*(k + 1)
Suppose -4 = r, 3*r + 9 + 9 = 3*q. Factor 30/13*z + 2/13*z**3 - 14/13*z**q - 18/13.
2*(z - 3)**2*(z - 1)/13
Let i(f) be the second derivative of -f**7/126 - f**6/90 + f**5/10 + 7*f**4/18 + 11*f**3/18 + f**2/2 + 49*f. Suppose i(d) = 0. What is d?
-1, 3
Let k(t) be the first derivative of -t**5/35 + 3*t**4/28 + t**3/21 - 3*t**2/14 + 4. Let k(p) = 0. What is p?
-1, 0, 1, 3
Let v = 769/77 - 68/7. Let i(t) be the first derivative of -1 + 4/11*t + 0*t**3 - v*t**2 + 1/22*t**4. Factor i(j).
2*(j - 1)**2*(j + 2)/11
Let n(y) be the second derivative of -3*y**7/28 + 2*y**6/5 - 3*y**5/10 - 3*y**4/4 + 7*y**3/4 - 3*y**2/2 - 5*y. Find s such that n(s) = 0.
-1, 2/3, 1
Let x(t) = -8*t**3 - 27*t**2 - 48*t + 3. Let o(w) = 25*w**3 + 80*w**2 + 145*w - 10. Let m(c) = -3*o(c) - 10*x(c). Factor m(v).
5*v*(v + 3)**2
Let z(h) = 42*h**2 - 12*h. Let o(j) be the third derivative of -7*j**5/30 + j**4/6 - 3*j**2. Let g(l) = 10*o(l) + 3*z(l). Suppose g(i) = 0. Calculate i.
0, 2/7
Suppose -2*q + 3*l = 5, 4*q - 8 - 7 = l. Let 3*n**2 + q - 2*n - n**3 - 5 = 0. Calculate n.
0, 1, 2
Factor -2/7*s + 0 + 2/7*s**2.
2*s*(s - 1)/7
Let i(s) be the first derivative of -s**6/3 - 2*s**5/5 + 5. Let i(p) = 0. What is p?
-1, 0
Let g(u) = -u**2 - 6*u - 10. Let c(q) = -1. Let h(j) = 10*c(j) - 2*g(j). Factor h(z).
2*(z + 1)*(z + 5)
Let m(i) be the second derivative of i**4/12 - 3*i. Let a(o) = -o**2 - 2*o - 4. Let b(t) = -2*a(t) - 6*m(t). Let b(g) = 0. What is g?
-1, 2
Let f be (-3)/(-18)*116/6 - 3. Factor 2/9 + 0*p - f*p**2.
-2*(p - 1)*(p + 1)/9
Suppose -2*p + 0*p + 4 = 0. Factor 2 - 7*r - 2*r**p + 2*r**2 + 0*r**2 + 5*r**2.
(r - 1)*(5*r - 2)
Suppose -2*m + 3*w = 6, 4*w - 2*w + 4 = 0. Let s be 2/m - (-33)/45. Determine b, given that 8/5*b + 12/5*b**2 + s*b**4 + 8/5*b**3 + 2/5 = 0.
-1
Let r(z) be the second derivative of z**4/48 + 2*z**3/3 + 8*z**2 + 2*z. Factor r(i).
(i + 8)**2/4
Suppose -2*v - 3*v**3 - 6*v**4 + v + v - 3*v**5 = 0. Calculate v.
-1, 0
Let z be (-8 - -6)*1/2. Let m be 130/60 + z/6. What is q in -2/7*q + 0 + 2/7*q**m = 0?
0, 1
Let k(z) be the second derivative of z**5/180 - z**4/36 + z**3/18 - z**2 - 8*z. Let u(t) be the first derivative of k(t). Find r such that u(r) = 0.
1
Determine i so that 1/5*i**2 + 2/5 + 3/5*i = 0.
-2, -1
Let o(n) = -5*n**3 + 4*n**2 - 5*n - 3. Let r(x) = 6*x - 4*x**2 - 26 + 3*x**3 + 30 + 3*x**3. Let v(i) = 4*o(i) + 3*r(i). Let v(q) = 0. Calculate q.
0, 1
Let h(w) = w + 3 + w**2 - 7*w**2 - 3*w**2 - 2*w**2. Let d(s) = -6*s**2 + 2. Let q(m) = -7*d(m) + 4*h(m). Solve q(i) = 0 for i.
1
Let b(j) be the first derivative of 7*j**6/3 - 24*j**5/5 + 3*j**4/2 + 4*j**3/3 - 1. Factor b(l).
2*l**2*(l - 1)**2*(7*l + 2)
Determine c, given that -2*c + 3 + 1/3*c**2 = 0.
3
Let p(b) be the second derivative of b**6/50 + 9*b**5/50 + b**4/20 - 12*b**3/5 + 24*b**2/5 + 49*b + 1. Solve p(h) = 0.
-4, 1
Suppose -4*w + 12 = 2*h, -5*h + 6 = -w - h. Let o(m) = 1 - m**w + m**3 + 2*m - 4*m + 3*m. Let d(r) = -r**3 - r - 2. Let c(v) = d(v) + 2*o(v). Factor c(a).
a*(a - 1)**2
Factor 13*v + 16*v - 37*v + 4*v**2.
4*v*(v - 2)
Factor 2 + 8/5*p - 2/5*p**2.
-2*(p - 5)*(p + 1)/5
Let u = 25 + -99/4. Let p(g) be the first derivative of 1/5*g**5 + 0*g**3 + 0*g**2 - u*g**4 + 0*g + 2. Solve p(n) = 0.
0, 1
Let j = 189/13 - 1597/117. Let 2/9*u**2 + j*u + 8/9 = 0. Calculate u.
-2
Let y(p) be the third derivative of -p**9/120960 + p**8/13440 - p**7/5040 - p**5/60 - 2*p**2. Let w(n) be the third derivative of y(n). Solve w(m) = 0.
0, 1, 2
Let i(v) be the third derivative of v**6/480 - v**5/240 - v**4/48 + 2*v**2 + v. Factor i(w).
w*(w - 2)*(w + 1)/4
Suppose 4*v + 8 = 5*v. Let b be (-2)/v + (-4)/(-16). Factor b*n - 2/9*n**4 + 2/9*n**2 + 0*n**3 + 0.
-2*n**2*(n - 1)*(n + 1)/9
Let y be -1 - 18/(-14) - (-4)/35. What is x in y*x + 4/5 - 2/5*x**2 = 0?
-1, 2
Suppose 3 = 2*g - 5*h + 14, 4*h - 12 = 0. Let f(i) be the first derivative of -i**3/3 - i + 2. Let c(v) = v**2 + v + 3. Let w(x) = g*c(x) + 6*f(x). Factor w(y).
-2*y*(2*y - 1)
Suppose 2*q = 5*q - 9. Let p**4 + p**2 + 0*p**3 + 0*p**2 + p**3 - q*p**2 = 0. Calculate p.
-2, 0, 1
Let d(p) = p**2 - p - 4. Let o be d(3). Factor 3*j - 4*j + j**3 + 0*j**2 + o*j + 2*j**2.
j*(j + 1)**2
Let o(f) be the third derivative of -f**8/30240 - f**7/2520 - f**5/12 + f**2. Let b(h) be the third derivative of o(h). Factor b(x).
-2*x*(x + 3)/3
Let p(m) be the second derivative of 1/50*m**5 + 0 + 0*m**3 + 1/30*m**4 + 2*m + 0*m**2. Determine f, given tha