2 + 2*r - 4. Let g(s) be the first derivative of z(s). Suppose g(j) = 0. What is j?
-1, 2
Determine x so that 9*x - 9 - 12*x**2 - 21*x - 9*x = 0.
-1, -3/4
Suppose 10 - 4 = -2*j. Let d(p) = 5*p**4 - 2*p**3 + 3. Let v(k) = 9*k**4 - 4*k**3 + 5. Let n(x) = j*v(x) + 5*d(x). Let n(m) = 0. Calculate m.
0, 1
Solve -3/4*j**2 - 48 + 12*j = 0 for j.
8
Let t(z) be the second derivative of z**7/84 - z**6/15 + 3*z**5/20 - z**4/6 + z**3/12 - 10*z. Find s, given that t(s) = 0.
0, 1
Let g be ((96/(-75))/(-8))/((-2)/(-5)). Solve -2/5*z**2 - 1/5 - 1/5*z**5 + 3/5*z**4 + 3/5*z - g*z**3 = 0 for z.
-1, 1
Let r(o) = -o**3 + 16*o**2 + o - 14. Let c be r(16). Let g be -1 + 3 + c/(-1). Factor -3/4*y**4 + g*y**2 + 0*y - 1/4*y**5 + 0 - 1/2*y**3.
-y**3*(y + 1)*(y + 2)/4
Let j(d) = -d**3 + 4. Let z be j(0). Let c = 16 - 13. Suppose -6*r**c + 2*r**4 + r**z + r**3 + r**2 + r**4 = 0. What is r?
0, 1/4, 1
Let 3/2*n - 9/4 - 1/4*n**2 = 0. Calculate n.
3
Find n, given that 0*n**3 - 1/5*n**4 + 0*n + 0*n**2 + 0 + 1/5*n**5 = 0.
0, 1
Let i = 9 + -4. Find s, given that -2*s**5 - 3*s**4 + 0*s**i - 3*s**4 - 2*s**2 - 6*s**3 = 0.
-1, 0
Let i(c) be the third derivative of -1/30*c**5 + 0*c**3 + 0*c + 0*c**4 + 1/30*c**6 - 1/105*c**7 + 5*c**2 + 0. Solve i(j) = 0.
0, 1
Let l = 78 + -78. Factor l*f + 0 + 1/2*f**3 + 1/2*f**2.
f**2*(f + 1)/2
Let m(s) = s**3 + 7*s**2 + s - 3. Let q be m(-7). Let a = -7 - q. Factor 2/3*p**2 + 0*p - 8/9 + 2/9*p**a.
2*(p - 1)*(p + 2)**2/9
Factor 36/11*n - 6/11*n**2 + 0 + 2/11*n**4 - 8/11*n**3.
2*n*(n - 3)**2*(n + 2)/11
Let y(z) be the first derivative of z**7/105 - z**6/12 + 4*z**5/15 - z**4/3 - 5*z**2/2 - 3. Let v(n) be the second derivative of y(n). Factor v(s).
2*s*(s - 2)**2*(s - 1)
Let w be (5/(-15))/((-10)/(-2988)). Let r = 100 + w. Let 0 + 0*h + r*h**2 + 2/5*h**3 = 0. Calculate h.
-1, 0
Suppose 0 = -4*d + f + 2, -2*f + 0*f = 4. Let y(b) be the third derivative of -b**2 + 0 - 1/120*b**5 + 0*b**3 + 1/24*b**4 + d*b. Suppose y(a) = 0. Calculate a.
0, 2
Let p(y) be the third derivative of 5*y**6/288 + y**5/48 + y**4/96 + 5*y**3/6 + 8*y**2. Let m(j) be the first derivative of p(j). Factor m(g).
(5*g + 1)**2/4
Suppose 11*w = 4*w. Let m(z) be the second derivative of w + 5/9*z**4 + 4*z + 1/63*z**7 + 1/3*z**5 + 5/9*z**3 + 1/3*z**2 + 1/9*z**6. Factor m(y).
2*(y + 1)**5/3
Let k be 1*(19/7 + (-4)/(-14)). Let n(x) be the second derivative of -1/60*x**5 + 0 + 0*x**2 - x + 0*x**4 + 1/18*x**k. Factor n(j).
-j*(j - 1)*(j + 1)/3
Let q(m) = m - 8. Let n be q(8). Let p be n/2*(-7)/(-14). Factor -1/4*k + p - 1/4*k**2.
-k*(k + 1)/4
Let -8/3*j**3 + 0 - 4/3*j + 2/3*j**4 + 10/3*j**2 = 0. What is j?
0, 1, 2
Suppose 0 = -y - 2*y. Let t be (-2)/(-12)*-1 + 2/3. Factor -5/4*u**2 - t*u + 7/4*u**3 + y.
u*(u - 1)*(7*u + 2)/4
Let i be ((-24)/(-15))/(3/5). Factor -16/3 - 1/3*x**2 - i*x.
-(x + 4)**2/3
Let p(z) be the first derivative of -5*z**4/4 + 5*z**3/3 + 25*z**2/2 + 15*z + 17. Determine d so that p(d) = 0.
-1, 3
Let f(c) be the second derivative of 0*c**5 + 0 + 0*c**3 + 1/8*c**2 - 1/24*c**4 + 1/120*c**6 + 2*c. Let f(t) = 0. Calculate t.
-1, 1
Suppose 3*q**5 + 304*q**3 + 7*q**2 - q**2 - 6*q**4 - 307*q**3 = 0. What is q?
-1, 0, 1, 2
Let w(l) be the second derivative of 3*l - 9/8*l**2 + 1/4*l**3 + 0 - 1/48*l**4. Suppose w(d) = 0. Calculate d.
3
Let w(p) = -p**3 + 2*p**2 + 3*p + 2. Let m be w(3). Let 0*b**4 + 4*b + 2*b**4 - 2*b**2 + 2*b**3 - 4*b - m*b**5 = 0. Calculate b.
-1, 0, 1
Let s be (44/726)/((-7)/(-3) + -2). Factor -2/11*d**3 + 2/11*d**5 + 0*d + 0 - 2/11*d**4 + s*d**2.
2*d**2*(d - 1)**2*(d + 1)/11
Suppose 0 = -5*a + 2*a. Let z(k) be the second derivative of -1/60*k**6 + 3/40*k**5 - 1/8*k**4 + a*k**2 - 2*k + 0 + 1/12*k**3. Let z(d) = 0. Calculate d.
0, 1
Let b(f) be the second derivative of 0*f**4 + 0 + 1/30*f**5 - 1/12*f**2 - 1/12*f**3 + 3*f. Find p such that b(p) = 0.
-1/2, 1
Let f(a) be the first derivative of a**6/200 + a**5/100 - a**4/8 + 3*a**3/10 + 3*a**2 - 3. Let h(z) be the second derivative of f(z). Let h(n) = 0. What is n?
-3, 1
Let w be (1 - 2) + 0 - -1. Let d(o) be the first derivative of 2/7*o + 2 - 2/21*o**3 + w*o**2. Find q, given that d(q) = 0.
-1, 1
Let i = -8 - -14. Let s be (-3)/i - (-3 + 0). Let 7/2*d**3 + 0 - d**2 + 0*d - s*d**4 = 0. Calculate d.
0, 2/5, 1
Suppose -3*t - 4*t + 35 = 0. Let c(n) be the second derivative of 3*n + 0*n**2 + 1/21*n**3 + 1/21*n**4 + 1/70*n**t + 0. What is o in c(o) = 0?
-1, 0
Let t = 0 - 0. Let a(d) be the third derivative of 0*d + 1/108*d**4 + t*d**3 + 1/540*d**6 + 0 - 1/135*d**5 - 2*d**2. Factor a(z).
2*z*(z - 1)**2/9
Let g = 9 - 5. Suppose l + g*f + 5 = 0, -4 = -3*l - f + 3. Suppose 15*z**4 - 4*z**2 - 5*z**4 + l*z**3 + 3*z**3 = 0. Calculate z.
-1, 0, 2/5
Let b(p) be the second derivative of 1/2*p**3 + 2*p + 0*p**2 + 3/20*p**5 + 0 + 1/2*p**4. Let b(d) = 0. What is d?
-1, 0
Find k, given that -8/7*k + 4/7*k**3 - 6/7*k**2 + 2/7*k**4 + 8/7 = 0.
-2, 1
Suppose 2*s - 3 = s. Factor o**3 - o**s + 1 - 4*o**3 - o**2 + 3*o**3 + o.
-(o - 1)*(o + 1)**2
Suppose -2*w - 12 = -j + 3*w, -3*w + 4 = 5*j. Suppose -b - 2 = -j*b. Factor -2/3*n**b + 1/3 - 1/3*n.
-(n + 1)*(2*n - 1)/3
Let b be (-4850)/55 - (-6)/33. Let q be ((-4)/b)/(1/4). Factor 2/11*m**2 + 4/11*m + q.
2*(m + 1)**2/11
Let i(h) be the second derivative of -h**7/357 - h**6/51 - 7*h**5/170 + h**4/102 + 8*h**3/51 + 4*h**2/17 - 12*h. Let i(t) = 0. Calculate t.
-2, -1, 1
Let i(k) be the second derivative of k**9/15120 - k**7/1260 + k**5/120 + k**4/12 + 3*k. Let f(p) be the third derivative of i(p). Factor f(y).
(y - 1)**2*(y + 1)**2
Let t(x) = 2 - 2 - 3 - 2 - 2*x. Let k be t(-4). Solve -2 - 2*n**2 + 3*n**2 + 0 + 4*n - k*n**2 = 0 for n.
1
Let h = -217 + 217. Factor 0 - 2/7*s**4 - 2/7*s**3 + h*s**2 + 0*s.
-2*s**3*(s + 1)/7
Let h = -9 - -19. Let f be 3/(h/4 - 1). Let -2*u + 0*u**f - u**2 - u**2 = 0. What is u?
-1, 0
Let w(m) be the second derivative of -m**8/10080 + m**6/1080 - m**4/6 + 3*m. Let o(b) be the third derivative of w(b). Find j such that o(j) = 0.
-1, 0, 1
Let r = 26 + -77/3. Let s(g) be the third derivative of 0 + 4/3*g**3 + 1/30*g**5 + g**2 - r*g**4 + 0*g. Factor s(f).
2*(f - 2)**2
Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/3 + 2*y**5 + 10*y**4/3 + 10*y**3/3 + 2*y**2 + 14*y. Factor z(q).
4*(q + 1)**5
Let p(w) = -w**2 - w + 1. Let a(m) = 2 - 3 + 7*m - 3. Let c(y) = y**2 + 8*y + 9. Let r be c(-6). Let k(g) = r*p(g) - a(g). Suppose k(q) = 0. What is q?
1/3, 1
Suppose -5*q**2 + 10*q + 38*q + 2*q = 0. What is q?
0, 10
Factor 0 - 5/3*c - 5/3*c**3 + 10/3*c**2.
-5*c*(c - 1)**2/3
Let g(z) be the first derivative of -z**6/360 - z**5/180 + z**4/72 + z**3/18 - z**2/2 - 5. Let x(u) be the second derivative of g(u). Factor x(q).
-(q - 1)*(q + 1)**2/3
Find i, given that 1/5*i**3 - 1/5*i - 1/5*i**2 + 1/5*i**4 + 0 = 0.
-1, 0, 1
Let b(k) be the first derivative of -2*k**3/3 + 7*k**2 + 51. Factor b(g).
-2*g*(g - 7)
Let o(v) = -15*v**2 + 11*v - 11. Let h(f) = 2*f**2 - f + 1. Let c(i) = i**2. Let a(b) = -2*c(b) + 3*h(b). Let z(y) = 22*a(y) + 6*o(y). Factor z(n).
-2*n**2
Suppose 0 = -i, -2*r + 4*i - 12 = -5*r. Let -3/2*p**3 + 0*p + 1/2*p**2 + 0 + 3/2*p**r - 1/2*p**5 = 0. What is p?
0, 1
Let n(j) be the third derivative of 7/60*j**6 + 3/8*j**4 - 1/3*j**3 + 0*j - 1/35*j**7 + 1/336*j**8 - 4/15*j**5 + 0 - j**2. Solve n(c) = 0 for c.
1, 2
Let v(p) be the third derivative of -p**7/7560 + p**4/8 - 5*p**2. Let r(y) be the second derivative of v(y). Factor r(g).
-g**2/3
Let s(f) be the first derivative of -f**3/3 - 3*f**2/2 + 1. Factor s(x).
-x*(x + 3)
Let n be (-9)/(-1) - 0/(-5). Let g = -4 + n. Factor 2/11*b**4 - 2/11*b**2 + 0 + 0*b - 2/11*b**g + 2/11*b**3.
-2*b**2*(b - 1)**2*(b + 1)/11
Let z(r) be the third derivative of r**5/180 - r**3/18 - 4*r**2. Let z(b) = 0. What is b?
-1, 1
Let p(l) be the first derivative of l**3/12 + 3*l**2/8 + l/2 + 10. Let p(s) = 0. Calculate s.
-2, -1
Let m = -633 - -9499/15. Let i(v) be the first derivative of m*v**6 + 1/5*v**4 - 3 - 2/15*v**3 + 0*v**2 + 14/25*v**5 + 0*v. Factor i(t).
2*t**2*(t + 1)**2*(4*t - 1)/5
Suppose -7*m = -2*m. Let n = 4 - m. Factor 2/3*k + 2*k**3 - 2*k**2 - 2/3*k**n + 0.
-2*k*(k - 1)**3/3
Factor 0 + 2/5*p**3 + 2/5*p + 4/5*p**2.
2*p*(p + 1)**2/5
Let g(u) be the third derivative of -4*u**2 - 4/3*u**3 + 0*u + 1/60*u**6 + 1/10*u**5 + 0*u**4 + 0. Determ