e the second derivative of -35/12*m**4 - 2*m**2 - 13/3*m**3 + 49/40*m**5 - 5*m + 0. Find c, given that v(c) = 0.
-2/7, 2
Let x(a) = 5*a**4 + 21*a**3 + 16*a**2 + 11*a + 11. Let m(f) = -f**4 - 4*f**3 - 3*f**2 - 2*f - 2. Let k(u) = 33*m(u) + 6*x(u). Factor k(b).
-3*b**2*(b + 1)**2
Let g(o) be the third derivative of -o**5/12 + 5*o**3/6 - o**2. Factor g(u).
-5*(u - 1)*(u + 1)
Let w = 8 + -6. Suppose l + w*l = 0. Factor 1/2*o**5 + o**2 + l*o**4 - 1 - 2*o**3 + 3/2*o.
(o - 1)**3*(o + 1)*(o + 2)/2
Let y(i) = -i - 5. Let v = 16 - 23. Let l be y(v). Factor l*t**4 + 2*t**2 - 6*t**3 + 2*t**3 + 0*t**2.
2*t**2*(t - 1)**2
Suppose 23*u = 22*u. Let q(i) be the first derivative of -3/2*i**2 - 1/2*i**6 + 0*i + 2 + 0*i**5 + u*i**3 + 3/2*i**4. Factor q(p).
-3*p*(p - 1)**2*(p + 1)**2
Let n(z) be the first derivative of -4*z**6/3 - 26*z**5/5 - 3*z**4/2 + 32*z**3/3 + 4*z**2 - 2. Determine p so that n(p) = 0.
-2, -1/4, 0, 1
Let c(v) be the third derivative of -v**8/5040 + v**7/1260 + v**6/90 + v**5/15 + 3*v**2. Let w(d) be the third derivative of c(d). Solve w(b) = 0 for b.
-1, 2
Let c be (-1*30/84)/((-10)/8). Determine x so that -c*x**2 - 2/7*x + 4/7 = 0.
-2, 1
Suppose -5*d + 49 = -3*m + 4*m, 3*m = 2*d - 23. Factor -d*i**3 + 13*i**3 - 4*i**3.
-i**3
Find s, given that 0 + 0*s - 1/4*s**2 = 0.
0
Let q(n) be the second derivative of -n**5/80 - n**4/48 + n**3/24 + 3*n**2 + 2*n. Let y(f) be the first derivative of q(f). Factor y(l).
-(l + 1)*(3*l - 1)/4
Let k(x) be the second derivative of -x**4/42 - 26*x. Suppose k(z) = 0. What is z?
0
Let t(p) = -8 + 23*p**2 - 4*p - p**3 - p**3 + 19 - 28*p**2. Let j(g) = -3*g**3 - 6*g**2 - 3*g + 12. Let i(n) = -5*j(n) + 6*t(n). Let i(o) = 0. Calculate o.
-2, 1
Let k(s) be the second derivative of -1/5*s**2 + 0 + 3/100*s**5 - 1/10*s**3 + 1/30*s**4 + 3*s. Let k(u) = 0. Calculate u.
-1, -2/3, 1
Suppose 0 = -b - 4 - 0. Let z = -2 - b. Solve -2 + z*t - 2 - t**2 + 3 = 0 for t.
1
Determine c, given that -2/3*c**2 + 1/3 - 1/3*c**5 - 1/3*c + 2/3*c**3 + 1/3*c**4 = 0.
-1, 1
Let l = -68 - -42. Let d be l/(-6) - (-2)/3. Factor -2*t - d*t**2 - 2*t**2 - t**3 + 4*t**2.
-t*(t + 1)*(t + 2)
Let p be 5/(-5) - (-167)/38. Let k = p - -2/19. Let -v + 3/2*v**2 + 6*v**3 + k*v**4 + 0 = 0. What is v?
-1, 0, 2/7
Let z(q) be the third derivative of 0*q - 1/48*q**4 - 1/360*q**5 - 1/18*q**3 - 5*q**2 + 0. Let z(s) = 0. What is s?
-2, -1
Let s be 8/6 + 4/6. Factor -2*q + 4*q - s*q - q**2.
-q**2
Let r = 3 + 2. Suppose -4*s + r*b - 2 = -21, 0 = -2*b + 2. Solve 0*i**2 + s*i + 0*i**2 - 3*i**2 = 0 for i.
0, 2
Let j(n) be the first derivative of -n**3/3 + n - 46. Suppose j(v) = 0. Calculate v.
-1, 1
Let y(r) be the first derivative of -r**5/15 + r**4/6 - 7. Factor y(m).
-m**3*(m - 2)/3
Let j(b) be the first derivative of -b**5 - 5*b**4/4 + 5*b**3 + 5*b**2/2 - 10*b + 29. Find z such that j(z) = 0.
-2, -1, 1
Let g = -7/8 - -19/8. Let b(q) be the first derivative of 1/4*q**4 - 1 + g*q**2 + q + q**3. Determine w so that b(w) = 0.
-1
Let a(l) = l**2 + 7*l + 1. Let y be a(-9). Determine u so that 90*u**2 + 4 + 21*u**5 - 4*u**5 - 14*u**4 + 7*u**5 - y*u**3 - 51*u**3 - 34*u = 0.
-2, 1/4, 1/3, 1
Suppose -9 - 71 = -4*w. Suppose -w + 4 = -4*u. Factor 3*s + u*s**2 - 5*s**2 + 2 - 2*s.
-(s - 2)*(s + 1)
Suppose 3*b - 21 = -2*l, -4*l + 9*l = -b + 20. Let j(t) be the first derivative of -1 + 1/3*t**l + 4*t - 2*t**2. Factor j(i).
(i - 2)**2
Let g(h) be the third derivative of 0 - 1/84*h**4 - 2/21*h**3 - 9*h**2 + 1/10*h**5 + 0*h. Factor g(t).
2*(3*t - 1)*(7*t + 2)/7
Suppose 5*v - 6 = 2*v. Let o = 1184 - 1184. Let o*t + 0 + 0*t**3 - 2/7*t**v + 2/7*t**4 = 0. Calculate t.
-1, 0, 1
Let d = 3035/7 + -433. Let n(s) = s - 1. Let i be n(3). Factor -d*a**3 + 0 - 18/7*a**4 + 0*a + 0*a**i.
-2*a**3*(9*a + 2)/7
Let w(i) be the third derivative of i**5/20 - 5*i**4/4 + 25*i**3/2 + i**2. Determine n so that w(n) = 0.
5
Let v(l) be the first derivative of l - 3 + 1/18*l**3 - 1/60*l**5 + 1/36*l**4 - 1/6*l**2. Let p(q) be the first derivative of v(q). Factor p(m).
-(m - 1)**2*(m + 1)/3
Let o(s) = s**2 - 12*s + 15. Let d be o(10). Let t = 11/2 + d. Determine v, given that -1/2 - 3/2*v**3 + v**4 + 3/2*v - t*v**2 = 0.
-1, 1/2, 1
Let o(g) = -g**3 + 2 + g - 3 - g - g**4. Let p(m) = 6*m**4 + 4*m**3 - 4*m**2 + 6. Let k(r) = -4*o(r) - p(r). Let k(j) = 0. What is j?
-1, 1
Suppose -2*c - 2*v - 5 = -17, 2*v - 21 = -3*c. Suppose -16*w + 3*w**2 + c*w**2 - w**3 - 4*w**2 = 0. What is w?
0, 4
Let w(z) be the second derivative of -z**6/1080 - z**5/180 + 2*z**3/3 + 5*z. Let g(i) be the second derivative of w(i). Factor g(t).
-t*(t + 2)/3
Let o = 5 + 3. Let h be (11 - o)*(-4)/(-3). Find w, given that 1/4*w - 1/2 - 1/4*w**3 + 3/4*w**2 - 1/4*w**h = 0.
-2, -1, 1
Find n, given that 0*n + 0 + 4/15*n**2 + 2/5*n**3 + 2/15*n**4 = 0.
-2, -1, 0
Let r(b) be the third derivative of -b**5/160 + b**4/32 - b**3/16 - 9*b**2. Factor r(g).
-3*(g - 1)**2/8
Let i(u) = -3*u - u**2 + 8 - 3 + 5 - 3*u. Let r be i(-7). Factor 3*w**r + 0*w + w - w.
3*w**3
Let b(w) be the first derivative of -w**6/180 + w**5/30 - w**4/12 + w**3 - 3. Let n(v) be the third derivative of b(v). Let n(a) = 0. What is a?
1
Let a(j) be the third derivative of j**6/540 + j**5/270 - j**4/54 + 6*j**2. Let a(h) = 0. What is h?
-2, 0, 1
Let i be -3*((-105)/20 - -5). Solve -1/4*h - 3/4*h**2 + 0 - 1/4*h**4 - i*h**3 = 0.
-1, 0
Determine p, given that 2/5*p + 1/5*p**3 + 0 - 3/5*p**2 = 0.
0, 1, 2
Let k be (-2 - -2) + (3 - 0). Factor -20*t - 24*t**2 - 3 - 5*t**3 + t**k + 8*t**2 - 5.
-4*(t + 1)**2*(t + 2)
Let g = -301 + 306. Determine b so that 0*b + 1/4*b**g + b**4 + 1/2*b**2 + 0 + 5/4*b**3 = 0.
-2, -1, 0
Let s(o) be the first derivative of -o**6/2 - 3*o**5/5 + 3*o**4/4 + o**3 + 28. Factor s(y).
-3*y**2*(y - 1)*(y + 1)**2
Let a = 2 - 2. Let y(o) be the third derivative of 0 + 1/60*o**5 + a*o - o**2 + 0*o**4 + 0*o**3. Solve y(k) = 0.
0
Factor -4/3*s**4 + 0*s + 0 + 4/3*s**5 + 0*s**2 - 8/3*s**3.
4*s**3*(s - 2)*(s + 1)/3
Factor 7*b**3 - 5*b**3 - 7*b**3 + 5*b.
-5*b*(b - 1)*(b + 1)
Let r(w) = 2*w**2 - 2*w - 2. Let o be r(3). Suppose -4*a = 5*x + 12, 0 = -a + 2*x + o. Factor -1/5*m**3 - 1/5*m + 0 + 2/5*m**a.
-m*(m - 1)**2/5
Suppose -2*p = -3*v + 2*p + 22, 0 = -4*v + 5*p + 28. Let -5*j + 3*j**2 - 7*j**v + 4*j**3 + 2 + 0*j**3 - j**3 = 0. Calculate j.
-1, 1/3, 2
Let i(o) be the second derivative of -o**7/840 - o**6/120 - o**4/3 + 6*o. Let y(d) be the third derivative of i(d). Factor y(x).
-3*x*(x + 2)
Let y = 7 + -3. Suppose 1 = -3*q + 4. Let -y + n**2 + 2 + q = 0. Calculate n.
-1, 1
Let u(l) be the third derivative of l**5/60 - 3*l**4/4 + 27*l**3/2 + 5*l**2. Factor u(s).
(s - 9)**2
Suppose 2*u - 28 = -2*u + 4*n, 3*u + 3 = -5*n. Find l such that 0 + 0 - 31*l**u + 9*l**3 - 35*l**5 + 16*l**2 - 15*l**4 - 4*l = 0.
-1, 0, 2/7, 2/5
Factor 1/3*b**2 - 1/3*b**3 - 1/3 + 1/3*b.
-(b - 1)**2*(b + 1)/3
Let x(b) be the first derivative of -b**6/360 - b**5/40 - b**4/12 + 2*b**3/3 - 2. Let p(g) be the third derivative of x(g). Factor p(c).
-(c + 1)*(c + 2)
Let t = 20 - 39/2. Let a = t + 4. Suppose 15/2*q + 3 + a*q**2 = 0. What is q?
-1, -2/3
Let i(q) be the third derivative of -q**8/448 + q**7/70 + 2*q**2. Find v such that i(v) = 0.
0, 4
Let c(g) be the second derivative of -g**7/1400 + g**6/600 + g**3/2 + 4*g. Let s(v) be the second derivative of c(v). Factor s(p).
-3*p**2*(p - 1)/5
Let z be 4*(-3)/(-3*1). Let r(f) = 6*f**3 - z - 2*f - 9*f**2 + 9*f**2. Let t(b) = 7*b**3 - b**2 - 3*b - 5. Let h(m) = -5*r(m) + 4*t(m). Factor h(a).
-2*a*(a + 1)**2
Let o(k) be the first derivative of k**3/9 + k**2/3 + 2. Factor o(m).
m*(m + 2)/3
Suppose 30*n - 13 + 0 - 6 - 5*n**2 - 6 = 0. What is n?
1, 5
Let w(j) = j - 2*j**2 + 0*j**2 + 3*j**2. Let t be w(0). Factor -1/4*a**5 + 0*a**3 - 1/2*a**2 + 1/2*a**4 + t + 1/4*a.
-a*(a - 1)**3*(a + 1)/4
Let c(j) = -j + 3. Let f be c(-5). Suppose -9*b + b - 4*b**2 + 10*b**2 - f = 0. Calculate b.
-2/3, 2
Let f = 33869/15 + -2257. Let l(z) be the first derivative of -8/5*z + 1 + 3/10*z**4 + f*z**3 + 0*z**2. Let l(r) = 0. What is r?
-2, -1, 2/3
Let p be (-6)/((-2)/(-76)*-2). Let m = p - 568/5. Determine g so that 0 + m*g + 2/5*g**2 = 0.
-1, 0
Suppose -3 - 1 = -2*s. Let i(a) be the second derivative of 1/12*a**3 - s*a + 1/8*a**2 + 1/48*a**4 + 0. Factor i(k).
(k + 1)**2/4
Let p(o) = -6*o**2 + 23*o + 5