the first derivative of u(m). Let b(s) = 0. What is s?
-1, 0, 1
Suppose -13*p + 7*p = -12. Factor 2/5*j**p + 0 + 0*j.
2*j**2/5
Let k = 2 + -2. Suppose 5*p - 3*p - 8 = k. Let p*j - 3*j + 6*j**3 + 6*j**2 + 4*j**4 - 2*j**2 + j**5 = 0. What is j?
-1, 0
Let l = 6 - 2. Suppose -l*h = -3*h. Factor -6/7*p + h*p**2 + 2/7*p**3 - 4/7.
2*(p - 2)*(p + 1)**2/7
Let b(u) be the first derivative of -u**7/840 + u**6/160 - u**5/80 + u**4/96 - 3*u**2 + 6. Let j(s) be the second derivative of b(s). Factor j(w).
-w*(w - 1)**3/4
Suppose -3*f = 5*h - 16, 3*h - 13 = 4*f + 14. Let v be 3/((-9)/f)*3. Let 2/5*u + 0 - 2/5*u**v + 0*u**2 = 0. Calculate u.
-1, 0, 1
Suppose -10 = -4*k - k, 0 = 3*a - 5*k - 2. Let s(z) be the third derivative of 0*z - 1/18*z**a + 0 + 1/180*z**5 + z**2 + 2/9*z**3. Determine d so that s(d) = 0.
2
Let j(l) = l**3 + 2*l**2. Let m be j(-2). Solve 2*w - 2*w + w**2 + m*w = 0 for w.
0
Let z(i) be the third derivative of -i**4/24 - 7*i**3/6 - 4*i**2. Let b be z(-7). Determine m, given that -2/9*m**3 + 0 + 2/9*m + b*m**2 = 0.
-1, 0, 1
Let s(f) = -f**3 + 1. Let n(q) = 4*q**3 - 4*q**2 - 8. Let m(a) = n(a) + 8*s(a). Factor m(d).
-4*d**2*(d + 1)
Suppose -8*m + m = -14. Let g(a) be the third derivative of -1/16*a**4 + 0*a + 1/4*a**3 - 1/40*a**5 + 1/80*a**6 + 0 - m*a**2. Determine b, given that g(b) = 0.
-1, 1
Let g(s) be the second derivative of 0*s**2 + 2*s + 0 + 1/3*s**3 + 1/2160*s**6 - 1/144*s**4 + 0*s**5. Let t(j) be the second derivative of g(j). Factor t(q).
(q - 1)*(q + 1)/6
Let w(f) be the first derivative of f**6/8 + f**5/20 - 11*f**4/16 - 3*f**3/4 + f**2/2 + f - 1. Solve w(c) = 0 for c.
-1, 2/3, 2
Let m = 954/5 + -190. Factor -m*d**2 + 0 + 0*d + 2/5*d**3.
2*d**2*(d - 2)/5
Let s(u) be the third derivative of -u**8/2240 + u**4/8 - 5*u**2. Let f(j) be the second derivative of s(j). Factor f(c).
-3*c**3
Let m(y) be the second derivative of 2*y**4/9 - y**3/9 + 5*y. Factor m(i).
2*i*(4*i - 1)/3
Factor k + 4*k**2 + k**2 + 5*k**4 - k + 10*k**3.
5*k**2*(k + 1)**2
Let j be (-6)/108*6/(-40). Let r(w) be the second derivative of 1/12*w**4 - 1/3*w**3 - j*w**5 + 3*w + 2/3*w**2 + 0. Solve r(u) = 0 for u.
2
Let r(u) be the third derivative of -1/15*u**5 + 0*u**3 + 10*u**2 + 0*u**4 + 0*u + 0. Let r(a) = 0. What is a?
0
Let q(j) = 14*j**2 - 112*j - 22. Let n(h) = -2*h**2 + 16*h + 3. Let k(w) = 44*n(w) + 6*q(w). Factor k(i).
-4*i*(i - 8)
Let g(b) be the first derivative of -4*b**3/3 + 8*b**2 + 48*b + 21. Let g(q) = 0. What is q?
-2, 6
Let f(n) = -18*n**2 + 6*n + 24. Let i = -6 + 7. Let c(g) = -g**2 + 1. Let x(v) = i*f(v) - 15*c(v). Factor x(h).
-3*(h - 3)*(h + 1)
Let h be (1 + -1)/6 - -2. Let n(b) be the first derivative of 4 + 8/5*b + 2/5*b**4 + 4*b**h + 34/15*b**3. Find k such that n(k) = 0.
-2, -1/4
Let t(z) be the third derivative of 0*z**3 + 3*z**2 + 0 - 1/16*z**4 + 7/80*z**5 + 0*z. Factor t(u).
3*u*(7*u - 2)/4
Let w(v) be the second derivative of 0 + 0*v**2 - 2/9*v**4 + 1/9*v**3 + 1/63*v**7 + v + 1/5*v**5 - 4/45*v**6. Let w(t) = 0. Calculate t.
0, 1
Let a(k) be the first derivative of -1/2*k**4 - 3 + 0*k + 0*k**5 + 0*k**2 + 1/3*k**6 + 0*k**3. Factor a(q).
2*q**3*(q - 1)*(q + 1)
Let x be 38/8*4*-1. Let w = -11 - x. Find m such that 6*m**2 + 1/4*m**4 - 2*m**3 + 4 - w*m = 0.
2
Let z(h) be the first derivative of -1/14*h**4 - 2/7*h**3 + 0*h + 3 - 2/7*h**2. Solve z(v) = 0 for v.
-2, -1, 0
Let a(b) be the first derivative of b**3/3 + b**2 + b - 14. Factor a(f).
(f + 1)**2
Let o(u) = 62*u**5 - 157*u**4 + 22*u**3 + 149*u**2 - 86*u + 12. Let f(x) = x**5 + x**4 - x**3 + x**2 - x. Let b(g) = 2*f(g) - o(g). What is a in b(a) = 0?
-1, 1/4, 2/5, 1, 2
Let j(d) be the second derivative of -8*d**7/147 - 8*d**6/105 + 3*d**5/35 + 2*d**4/21 - 2*d**3/21 - d - 2. Factor j(y).
-4*y*(y + 1)**2*(2*y - 1)**2/7
Let k(n) be the first derivative of -1/4*n**4 + 2 + 1/6*n**6 + 1/3*n**3 + 0*n**2 - 1/5*n**5 + 0*n. Factor k(f).
f**2*(f - 1)**2*(f + 1)
Let 2/15*l**2 + 2/15*l + 0 = 0. What is l?
-1, 0
Let b(n) be the first derivative of 7*n**4/4 - 10*n**3/3 - 39*n**2/2 - n - 4. Let c(h) = 4*h**3 - 5*h**2 - 19*h - 1. Let q(g) = 6*b(g) - 14*c(g). Factor q(j).
-2*(j - 2)*(j + 1)*(7*j + 2)
Let m(k) = 2*k - 2. Let p be m(2). Factor -5*n - n**p + n + 4*n - n.
-n*(n + 1)
Let c(a) be the third derivative of -a**5/15 + 7*a**4/6 - 20*a**3/3 - 31*a**2. Factor c(d).
-4*(d - 5)*(d - 2)
Factor 2/17 + 2/17*r - 2/17*r**3 - 2/17*r**2.
-2*(r - 1)*(r + 1)**2/17
Let g(i) be the third derivative of i**7/1365 - i**6/780 - i**5/78 - i**4/52 + 17*i**2. Suppose g(y) = 0. What is y?
-1, 0, 3
Let v = 22 - 22. Let q(x) be the third derivative of 1/36*x**4 + v*x + 0 + 2*x**2 - 1/180*x**5 - 1/18*x**3. Determine p, given that q(p) = 0.
1
Let y be (-27)/36 + 1/(-4). Let z = 5 + y. Factor 0 + a**z - 1/2*a + 0*a**3 + 1/2*a**5 - a**2.
a*(a - 1)*(a + 1)**3/2
Suppose -5*k = 5*v - 49 - 6, -4*k + 5*v + 62 = 0. Find c such that -4*c + 4 - 14*c**3 + k*c**3 - 3*c**2 + 4*c = 0.
-2, 1
Suppose -w - 10 = -2*f, 9 = 2*f + f. Let a be 9/(-6)*w/3. Factor 2 + 4*l**a + 4*l + 3*l**2 - 5*l**2.
2*(l + 1)**2
Let c(j) be the first derivative of 1/10*j**5 + 1/3*j**4 - 2*j + 0*j**2 + 1/3*j**3 - 2. Let l(y) be the first derivative of c(y). Factor l(d).
2*d*(d + 1)**2
Let g(v) be the first derivative of 0*v + 2/33*v**3 + 0*v**2 - 4 + 1/22*v**4. Let g(b) = 0. What is b?
-1, 0
Factor -9/2 - 15/2*q**2 - 3/2*q**3 - 21/2*q.
-3*(q + 1)**2*(q + 3)/2
Let u(a) = 6*a**2 - 3*a + 3. Let m(k) = 13*k**2 - 7*k + 7. Let z(d) = 3*m(d) - 7*u(d). Factor z(i).
-3*i**2
Let v(m) = -m**2 - 7*m + 21. Let d be v(2). Suppose 0*q + 0*q**2 - 2/7*q**d + 0 - 2/7*q**4 = 0. Calculate q.
-1, 0
Suppose -3*i - 5 + 20 = 0. Let m(k) be the third derivative of 0*k**3 + 0*k + 1/150*k**i + 0*k**4 + 0 + 2*k**2. Suppose m(n) = 0. What is n?
0
Let d(w) = 3*w**3 - 9*w**2 + 3*w + 3. Let q(r) = -5*r**3 + 17*r**2 - 6*r - 6. Let x(h) = 11*d(h) + 6*q(h). Factor x(a).
3*(a - 1)*(a + 1)**2
Let x(o) = o - 4*o + 3*o + o + 8. Let l be x(-6). Suppose 1 - q + 1 + 2*q**l - 3*q = 0. What is q?
1
Let i(a) = -a + 6. Let m be i(3). Factor v**2 + 1/3 + v + 1/3*v**m.
(v + 1)**3/3
Let j(k) be the first derivative of 1 - 4/3*k - 35/9*k**3 + 11/3*k**2 + 25/24*k**4. Factor j(x).
(x - 2)*(5*x - 2)**2/6
Let m be 14/10 + 0 + -1 + 0. Determine o, given that 0*o**2 - m*o**3 + 0*o + 0 + 2/5*o**4 = 0.
0, 1
Let f(s) = 5*s**2 - 11*s - 7. Let k be ((-48)/20)/(3/20). Let y = 8 + k. Let j(o) = -16*o**2 + 34*o + 20. Let b(i) = y*f(i) - 3*j(i). Factor b(l).
2*(l - 2)*(4*l + 1)
Determine f so that 36*f - 28*f + 3*f**3 - 12*f**2 + f**3 = 0.
0, 1, 2
Factor -p + 5*p**5 + 5*p**3 + p**2 - 21*p**2 - 15*p**4 - 9*p + 35*p**2.
5*p*(p - 2)*(p - 1)**2*(p + 1)
Let c(s) be the third derivative of -s**8/30240 - s**7/3780 - s**6/1080 + s**5/15 + s**2. Let p(a) be the third derivative of c(a). Factor p(l).
-2*(l + 1)**2/3
Let h(a) = 18*a**2 + 15*a - 3. Let z(g) = g**2 + g. Let t(y) = -h(y) + 15*z(y). Factor t(r).
-3*(r - 1)*(r + 1)
Suppose -34/3*z**2 - 10/3*z**4 + 12*z**3 + 0*z + 8/3 = 0. What is z?
-2/5, 1, 2
Let p be (-36)/(-10) + -9*(-26)/585. Factor -2/11*g**5 - 4/11*g**2 + 4/11*g**3 + 2/11 - 2/11*g + 2/11*g**p.
-2*(g - 1)**3*(g + 1)**2/11
Let w(i) be the second derivative of 2*i**4/15 - i**3/15 - 4*i. Factor w(z).
2*z*(4*z - 1)/5
Let b(q) = q**2 + q - 2. Let m(f) = -5*f**2 - 3*f - 6. Let w(g) = 4*b(g) - m(g). Factor w(a).
(a + 1)*(9*a - 2)
Let z(a) = 5*a**3 - 50*a**2 - 58*a + 6. Let j(n) = -5*n**3 + 50*n**2 + 59*n - 8. Let s(m) = 3*j(m) + 4*z(m). Factor s(k).
5*k*(k - 11)*(k + 1)
Let n(f) be the third derivative of 0 - 1/84*f**4 + 0*f**3 - f**2 + 1/210*f**5 + 0*f. Factor n(z).
2*z*(z - 1)/7
Let w(t) = -t**3 + 5*t**2 + t - 3. Let b be w(5). Let -b - 3*f + 1 - 2*f**2 - 3 - 3*f = 0. What is f?
-2, -1
Let r(q) = 3*q**2 + q. Let h be r(1). Suppose -1 = -h*m - 17, -28 = -5*b + 2*m. Factor 0*u**3 + 0*u**2 - 2*u**3 + b*u - 2*u**2.
-2*u*(u - 1)*(u + 2)
Let r(n) be the first derivative of -n**4/22 + 3*n**2/11 + 4*n/11 - 44. Factor r(g).
-2*(g - 2)*(g + 1)**2/11
Let p be 11/(-90) - (-10)/45. Let m(u) be the second derivative of 3*u + 2/9*u**3 + 0 + 0*u**2 - p*u**5 - 1/18*u**4. Determine d, given that m(d) = 0.
-1, 0, 2/3
Let v(b) be the second derivative of 2*b - 1/21*b**4 + 1/105*b**6 + 0*b**3 + 1/7*b**2 + 0*b**5 + 0. Solve v(o) = 0 for o.
-1, 1
Let o(q