ative of 1/4*v**y + 0 - 1/8*v**3 + 1/48*v**4 + 2*v. Factor z(j).
(j - 2)*(j - 1)/4
Suppose -2*n = 2 - 8. Factor 2 + 2*s**4 - 2*s**3 + 3*s**3 - s**n - 4*s**2.
2*(s - 1)**2*(s + 1)**2
Let a(b) = 5*b**3 + 14*b**2 - 8*b - 13. Let w be a(-3). Suppose 9/4*m**w - 9/4*m - 3/4*m**3 + 3/4 = 0. Calculate m.
1
Let b = -68/5 - -15. Let r(u) = -2*u - 5. Let n be r(-4). Solve 7/5*x**4 - 12/5*x**5 - 9/5*x**2 + 2/5 + 19/5*x**n - b*x = 0 for x.
-1, -2/3, 1/4, 1
Factor 0*p + 0 + 2/11*p**4 + 0*p**2 - 2/11*p**5 + 4/11*p**3.
-2*p**3*(p - 2)*(p + 1)/11
Let h(c) be the second derivative of -2*c**7/15 - 6*c**6/25 + 19*c**5/25 + 13*c**4/15 - 8*c**3/5 - 8*c**2/5 - 4*c. Find u, given that h(u) = 0.
-2, -1, -2/7, 1
Let r(g) = 2*g**2 - 2. Let t(o) = -o**2 + 1. Let h(w) = -2*r(w) - 3*t(w). Let u(k) = 6*k**2 - k - 5. Let m(l) = 14*h(l) + 2*u(l). Solve m(v) = 0 for v.
-2, 1
Solve g + 13/7*g**3 - 15/7*g**2 - 4/7*g**4 - 1/7 = 0.
1/4, 1
Let l(b) be the third derivative of -2/15*b**5 + 0*b + 1/12*b**4 + 7/180*b**6 + 0 - 3*b**2 + 2/9*b**3. Suppose l(v) = 0. What is v?
-2/7, 1
Let q(w) be the first derivative of w**7/420 + w**6/180 + w**3 + 3. Let b(l) be the third derivative of q(l). What is f in b(f) = 0?
-1, 0
Suppose g + 36 = -4*m, -3*g - 9 = m + 2*g. Let u be 4*m/((-243)/6). Suppose 2*c**3 + 2/9*c + 4/3*c**2 + 0 + u*c**4 = 0. Calculate c.
-1, -1/4, 0
Let j(d) be the first derivative of -2 - 4/3*d**3 - d**4 + 2*d + 1/3*d**6 + 2/5*d**5 + d**2. Find x, given that j(x) = 0.
-1, 1
Let h be (4/9)/((-70)/(-315)). Factor -1/4*o + 0 + 1/4*o**h + 1/4*o**3 - 1/4*o**4.
-o*(o - 1)**2*(o + 1)/4
Suppose u - 1 = 2*u + 4*k, 0 = -2*u + 5*k + 24. What is t in -u*t - t**3 - 2*t**4 + 7*t - t**5 = 0?
-1, 0
Let p(s) be the third derivative of s**5/30 + s**4/4 - 4*s**3/3 - 6*s**2. Solve p(n) = 0 for n.
-4, 1
Let h(q) be the first derivative of q**5/10 - q**3/6 - 5. Factor h(z).
z**2*(z - 1)*(z + 1)/2
Let j(l) be the first derivative of 2*l**3/33 + 4*l**2/11 + 8*l/11 + 1. Factor j(m).
2*(m + 2)**2/11
Let k(u) be the third derivative of -u**5/100 - u**4/20 - u**3/10 - 5*u**2. Factor k(y).
-3*(y + 1)**2/5
Let f be ((-4)/(-6))/((-4)/(-18)). Factor m**2 + 0*m + 0*m**3 - f*m**3 - m**4 + m + 2*m**3.
-m*(m - 1)*(m + 1)**2
Let i(f) be the second derivative of f**9/12096 - f**8/3840 + f**7/5040 - f**4/12 - f. Let r(m) be the third derivative of i(m). Factor r(w).
w**2*(w - 1)*(5*w - 2)/4
Let x(q) be the first derivative of -q**8/1680 - q**7/420 + q**5/60 + q**4/24 - 5*q**3/3 - 5. Let y(o) be the third derivative of x(o). Factor y(u).
-(u - 1)*(u + 1)**3
Let r(n) = 4*n**2 + 17*n + 8. Let w be r(-4). Factor -w*z**3 + 0 - 2/3*z - 8/3*z**4 - 8/3*z**2 - 2/3*z**5.
-2*z*(z + 1)**4/3
Let d = 241/2 - 116. Suppose -5*z + 12 + 7 = 3*k, 2*k - 8 = -z. Let -k - 3/2*s**2 + d*s = 0. Calculate s.
1, 2
Suppose 0*f = 6*f + 12. Let l(o) = o**3 + o**2 - 7*o + 5. Let p(j) = -j + 1. Let h(k) = f*p(k) + l(k). What is v in h(v) = 0?
-3, 1
Let t(b) = -b**2 + 4*b. Let a be t(4). Let k = a + 6. What is d in 4 + 4 + k*d**3 + 3*d**2 - 17*d**2 = 0?
-2/3, 1, 2
Let k(l) be the second derivative of l**6/135 - 7*l**5/90 + 5*l**4/18 - l**3/3 + 3*l. Solve k(t) = 0 for t.
0, 1, 3
Suppose -16*s + 11*s = -25. Factor 3/2*o**2 - 3/2*o**s + 0 + 9/2*o**4 - 9/2*o**3 + 0*o.
-3*o**2*(o - 1)**3/2
Let z(c) be the first derivative of c**3 - 3*c**2/2 + 2. Suppose z(x) = 0. What is x?
0, 1
Let q(o) be the first derivative of -o**4/54 - o**3/27 + 4*o + 1. Let c(f) be the first derivative of q(f). Solve c(h) = 0 for h.
-1, 0
Let w(g) be the first derivative of g**4/30 + 2*g**3/15 - 2*g - 2. Let k(t) be the first derivative of w(t). Find v such that k(v) = 0.
-2, 0
Let i be 9*3*2/18. Let j = 956/5 + -190. Let 0 + 0*w + 4/5*w**2 + j*w**i = 0. Calculate w.
-2/3, 0
Suppose -10 = -x - 8. Let i be ((-3)/x)/((-3)/4). Factor -1/2*j**4 - 3/4*j**3 + 0*j**i + 1/4*j + 0.
-j*(j + 1)**2*(2*j - 1)/4
Let p(o) be the third derivative of -o**5/15 + o**4 + 5*o**2. Let p(u) = 0. What is u?
0, 6
Suppose 3*p + 0*p - 24 = 0. Let q = p - 6. Factor -2/3*n**q + 0*n + 0 + 2/3*n**4 + 0*n**3.
2*n**2*(n - 1)*(n + 1)/3
Let j = -6 - -6. Factor 2/9*x**2 - 2/9 + j*x.
2*(x - 1)*(x + 1)/9
Let j(r) = -3*r**5 + 9*r**4 - 3*r**3 - 9*r**2 - 6*r + 6. Let i(v) = v**5 - v**4 + v**2 + v - 1. Let n(u) = -6*i(u) - j(u). Find g, given that n(g) = 0.
-1, 0, 1
Let c(t) be the first derivative of t**3 - 6*t**2 + 9*t + 10. Factor c(k).
3*(k - 3)*(k - 1)
Solve -1/2 + 27/2*s**2 + 13*s = 0.
-1, 1/27
Let j = 10 - 6. Suppose -j*o + s + 20 = 0, -3*o + 5*s + 40 = 2*o. Factor -2*m - 1 + 2*m**3 + 0 + 3*m**2 - 3*m**o + 1.
-m*(m - 1)*(m + 1)*(3*m - 2)
Let d be (-68)/170*(-1 - 4). Factor 1 + 9/2*h + d*h**2.
(h + 2)*(4*h + 1)/2
Let p(d) = -3*d**3 - 72*d**2 - 132*d - 72. Let n(m) = -m**3 - 18*m**2 - 33*m - 18. Let a(s) = -9*n(s) + 2*p(s). Factor a(b).
3*(b + 1)*(b + 2)*(b + 3)
Determine t so that 8/3*t - 4/9*t**3 + 2/9*t**4 - 22/9*t**2 + 8 = 0.
-2, 3
Let z(w) be the first derivative of 45*w**3 + 75*w**2/2 + 10*w + 13. Factor z(y).
5*(3*y + 1)*(9*y + 2)
Let s(g) be the first derivative of -27*g**5/20 + 63*g**4/16 - 4*g**3 + 3*g**2/2 + 3. Factor s(m).
-3*m*(m - 1)*(3*m - 2)**2/4
Let x be (-3)/(-2) + -3*(-3)/(-9). Factor -x + 0*c + 1/2*c**2.
(c - 1)*(c + 1)/2
Factor 19 - 8 + u**2 + 6*u + 0*u**2 - 6.
(u + 1)*(u + 5)
Let g(q) = -q**3 + 4*q**2 + 4*q - 1. Let m be g(5). Let s(c) = -c + 1. Let h(f) = -f**2 - 3. Let z(o) = m*s(o) + h(o). Factor z(n).
-(n - 3)**2
Let f(k) be the first derivative of 0*k**5 + 0*k - 1/2*k**2 - 1/6*k**6 + 0*k**3 + 3 + 1/2*k**4. Suppose f(g) = 0. What is g?
-1, 0, 1
Let f(j) = 14*j - 50. Let z(x) = 5*x - 17. Let i(b) = 3*f(b) - 8*z(b). Let g be i(8). Determine s, given that -2/3 + s - 1/3*s**g = 0.
1, 2
Let z(b) be the first derivative of b**3/9 + 2*b**2/3 + 13. Factor z(o).
o*(o + 4)/3
Let i(u) be the first derivative of 2 + 2*u**2 - 1/2*u**4 + 0*u + 2/3*u**3. Determine x, given that i(x) = 0.
-1, 0, 2
Let o = 10 - 6. Suppose -5*m = 5*n + 15, -n + o*n - 21 = 3*m. Factor a - 4*a + 4 + 0*a + 2*a**n - 3*a.
2*(a - 2)*(a - 1)
Let h(u) = 31*u**3 + 61*u**2 + 51*u + 10. Let q(s) = -6*s**3 - 12*s**2 - 10*s - 2. Let y(a) = 2*h(a) + 11*q(a). What is t in y(t) = 0?
-1, -1/2
Let g(m) be the first derivative of -4*m**3 - 46*m**2 + 32*m + 26. Find l, given that g(l) = 0.
-8, 1/3
Let s(b) be the second derivative of -b**7/70 - b**6/40 + 3*b**2/2 + 2*b. Let a(m) be the first derivative of s(m). Let a(z) = 0. What is z?
-1, 0
Suppose 0 = 2*d + i - 7, d - 4 = -4*d + 2*i. Factor -1 + 5 - 6 - o**d + 3*o.
-(o - 2)*(o - 1)
Let o(z) = 2*z - 13. Let p be o(8). Let u(y) be the second derivative of -1/66*y**4 - 1/33*y**p - 3*y + 0*y**2 + 0. Factor u(j).
-2*j*(j + 1)/11
Let n(t) = t**2 - 8*t - 11. Let w be n(9). Let f be (6 + -3)*(w - -5). What is h in -7/2*h**3 - 10*h + f*h**2 + 4 + 1/2*h**4 = 0?
1, 2
Factor -2 + 4*g**2 + 2*g**3 - 2*g + 4 - 6.
2*(g - 1)*(g + 1)*(g + 2)
Factor -4/11*y + 2/11*y**4 + 0*y**2 - 2/11 + 4/11*y**3.
2*(y - 1)*(y + 1)**3/11
Let r(f) be the third derivative of -f**5/12 - 25*f**4/12 - 125*f**3/6 + 4*f**2. Factor r(l).
-5*(l + 5)**2
Let m(n) be the first derivative of 6*n + 0*n**3 - 3 + 9/2*n**2 - 3/4*n**4. Factor m(y).
-3*(y - 2)*(y + 1)**2
Let c(v) = -v**3 + 6*v**2 + 7*v + 4. Let r be c(7). Let z + 2*z + 6*z**2 - 3*z**3 - 3*z**r - 3*z**2 = 0. What is z?
-1, 0, 1
Suppose -5*i + h = 8 - 12, 4*h = 5*i - 16. Factor -2/7*s**2 + i*s + 0.
-2*s**2/7
Let m = -51 + 205/4. Let x(q) = q**2 - 5*q + 4. Let w be x(4). Factor 1/4*v**3 + w + 1/4*v**4 - 1/4*v - m*v**2.
v*(v - 1)*(v + 1)**2/4
Let y(h) be the second derivative of 0 + h**2 - 1/12*h**4 - 7*h - 1/6*h**3. Factor y(q).
-(q - 1)*(q + 2)
Solve -2*w**5 - 4*w - 2*w**3 + 2*w**4 - 2*w**2 - 6*w**3 + 14*w**3 = 0 for w.
-1, 0, 1, 2
Let c(t) = 2*t**2 + 12*t + 10. Let x(h) = -5*h**2 - 35*h - 30. Let f(r) = -10*c(r) - 3*x(r). Factor f(u).
-5*(u + 1)*(u + 2)
Let k(y) be the second derivative of 0 + 1/35*y**7 - 4/15*y**6 + y + 12/5*y**3 + 51/50*y**5 - 8/5*y**2 - 31/15*y**4. Determine n, given that k(n) = 0.
2/3, 1, 2
What is r in -3/2*r**4 + 0 + 0*r**3 + 9/2*r**2 + 3*r = 0?
-1, 0, 2
Let c(g) be the third derivative of 0 + 0*g**3 - 1/10*g**5 + g**2 + 0*g - 1/60*g**6 - 1/6*g**4. Factor c(s).
-2*s*(s + 1)*(s + 2)
Let i(u) be the first derivative of 35*u**6/6 - 23*u**5 + 135*u**4/4 