vative of 3*g**6/10 + 3*g**5/20 + 3*g + 4. Let z(y) be the first derivative of s(y). What is b in z(b) = 0?
-1/3, 0
Let h(z) be the first derivative of 3*z**5/5 - 9*z**4/2 - 13. Factor h(w).
3*w**3*(w - 6)
Let p(y) be the first derivative of -1 - 4/15*y**3 + 1/10*y**4 + 4/5*y - 1/5*y**2. Find l, given that p(l) = 0.
-1, 1, 2
What is p in -16*p - 2*p**3 - 19*p - 17*p + 2*p**4 - 2*p**2 + 54*p = 0?
-1, 0, 1
Let m = -2 - 3. Let z be ((-12)/(-4))/((-3)/m). Factor z*v**2 + v**3 + 5*v + 2*v - 5*v - 2 - 3*v - 3*v**4.
-(v - 1)**2*(v + 1)*(3*v + 2)
Let t(p) be the first derivative of p**4/20 + 2*p**3/15 - 7*p**2/10 + 4*p/5 + 7. Solve t(q) = 0.
-4, 1
Let d(l) be the first derivative of 1/5*l**3 - 3/20*l**4 + 3/2*l**2 - 1 + 9/5*l. Factor d(c).
-3*(c - 3)*(c + 1)**2/5
Suppose 0 = -s, s - 6*s - 2 = -x. Factor -5*j**2 + j**5 + j**4 + 3*j**x - 3*j**4 - 2*j**4 + 5*j**3.
j**2*(j - 2)*(j - 1)**2
Suppose 10 = 2*r + 2*k, 6*r + 5*k - 24 = 2*r. Let d be 1/r + 10/6. Find z, given that -4*z**3 - d*z**2 + 0 - 8/3*z**4 - 2/3*z**5 - 2/3*z = 0.
-1, 0
Let s = 19/165 + -1/66. Let x(k) be the second derivative of -2*k + 0 + 1/15*k**3 - 1/60*k**4 - s*k**2. Find c, given that x(c) = 0.
1
Suppose 2*b + 2*u = -b - 2, 4*u = 2*b - 4. Let f = 8 - 5. Factor 0*w + 2/9*w**5 + b + 0*w**2 + 2/9*w**4 + 0*w**f.
2*w**4*(w + 1)/9
Suppose 13*x + 25 - 77 = 0. What is f in 3/2*f - 3/2*f**3 + 0*f**2 - 3/4 + 3/4*f**x = 0?
-1, 1
Let t(z) = -5*z**3 + 7*z**2 + 12*z + 4. Let l(k) = -36*k**3 + 48*k**2 + 84*k + 30. Let j(v) = 2*l(v) - 15*t(v). Let j(w) = 0. What is w?
-1, 0, 4
Let o(g) be the second derivative of g**4/72 + 5*g**3/18 + 25*g**2/12 - 4*g. Let o(z) = 0. Calculate z.
-5
Let m be 8 + (-24)/(0 - -3). Determine f, given that 0 - 2/13*f**5 + 2/13*f**2 + m*f + 2/13*f**3 - 2/13*f**4 = 0.
-1, 0, 1
Let t(i) = -i**3 - 6*i**2 - 7*i. Suppose 1 + 6 = -a. Let w(o) = -5*o**2 - 8*o - 7*o**3 + 2*o + 3*o**3 + 3*o**3. Let y(h) = a*w(h) + 6*t(h). Factor y(c).
c**2*(c - 1)
Suppose 2*z - 10 = -3*z. Let f(u) be the third derivative of 0 - 1/6*u**3 + 1/32*u**6 + 0*u + z*u**2 + 19/240*u**5 + 0*u**4. Factor f(j).
(j + 1)*(3*j + 2)*(5*j - 2)/4
Factor -135*y - 2 - 5*y**3 - 45*y**2 - 13 - 120.
-5*(y + 3)**3
Factor -51*z - 2*z**3 + 20*z**2 + 36*z - 3*z**3.
-5*z*(z - 3)*(z - 1)
Let j = 72/175 + 4/25. Find i, given that -4/7 - 2/7*i - j*i**3 + 10/7*i**2 = 0.
-1/2, 1, 2
Suppose -t + 10 = -0. Determine a, given that 4*a**2 + 2*a**3 - 2*a**4 + 2*a**5 + 2*a - 2 + 4*a**3 - t*a**3 = 0.
-1, 1
Let w(v) = v**2 + v + 2. Let n be w(0). Factor 17*h**n + h - 17*h**2 - h**3.
-h*(h - 1)*(h + 1)
Let n be (1 - 5)/1 + 3. Let a(b) = 2*b**3 - 12*b**2 + 6*b - 2. Let z(k) = k**2. Let d(w) = n*a(w) - 6*z(w). Factor d(o).
-2*(o - 1)**3
Suppose 0 = -y - 5 - 1. Let q(a) = 19*a**4 - 3*a**3 + 4*a**2 - 9*a - 11. Let d(z) = 10*z**4 - z**3 + 2*z**2 - 5*z - 6. Let f(w) = y*q(w) + 11*d(w). Factor f(r).
-r*(r - 1)**2*(4*r + 1)
Factor 57/2*t**2 + 14*t**3 + 19*t + 2*t**4 + 4.
(t + 2)*(t + 4)*(2*t + 1)**2/2
Let b(d) = 2*d - 12*d**3 + 2 + 4*d**4 + 17*d**2 + 3 - 8*d - 3*d. Let x(n) = -2*n**4 + 6*n**3 - 8*n**2 + 4*n - 2. Let k(t) = 2*b(t) + 5*x(t). Factor k(z).
-2*z*(z - 1)**3
Factor 4 - 127*b**3 - 3 - 5*b + 8*b**2 + 123*b**3.
-(b - 1)*(2*b - 1)**2
Let q be (-4)/(8/(-6)) + -1. Let l(a) = -3*a**2 - 2*a - 4. Let h(z) = -4*z**2 - z - 4. Let b(i) = q*h(i) - 3*l(i). Solve b(x) = 0 for x.
-2
Let g be -18*(0 - 30/(-9)). Let f be g/(-27) + (-4)/18. Let -5 + d - d**3 - d**4 + d**f + 5 = 0. What is d?
-1, 0, 1
Let v(t) = -6*t**2 + 9*t - 6. Let b(o) = o**2 - o + 1. Let q(j) = 14*b(j) + 2*v(j). Find k, given that q(k) = 0.
-1
Let y(j) be the third derivative of -1/210*j**5 + 0*j + 0*j**3 + 0*j**4 - j**2 + 1/735*j**7 + 0*j**6 + 0. Find r such that y(r) = 0.
-1, 0, 1
Let w(o) be the first derivative of o**4/4 + o**3/3 - o**2 - 2. Factor w(f).
f*(f - 1)*(f + 2)
Let q(u) be the third derivative of 2*u**2 + 0*u**4 + 1/15*u**5 + 0*u**3 + 0*u + 3/56*u**8 - 2/105*u**7 + 0 - 3/20*u**6. Solve q(s) = 0 for s.
-1, 0, 2/9, 1
Let o(b) be the second derivative of 2*b - 1/42*b**4 + 0 - 2/7*b**2 + 1/7*b**3. Factor o(i).
-2*(i - 2)*(i - 1)/7
Let d(o) be the third derivative of -1/48*o**4 + 1/140*o**7 - 1/40*o**5 + 1/240*o**6 + 0*o + 0*o**3 + 0 + o**2. Factor d(s).
s*(s - 1)*(s + 1)*(3*s + 1)/2
Let d(p) = 4*p**3 - 4*p**2 - 4*p - 2. Let b(u) = u**4 - 9*u**3 + 9*u**2 + 9*u + 5. Let l(q) = 2*b(q) + 5*d(q). Factor l(t).
2*t*(t - 1)*(t + 1)**2
Factor -2/5*c**4 + 0*c + 2/5*c**2 + 0*c**3 + 0.
-2*c**2*(c - 1)*(c + 1)/5
Let w = 37/4 - 325/36. Suppose -2*t + 4*t - 4*g - 8 = 0, 4*g = 3*t - 8. Find d, given that -2/9*d**2 + t*d + 0 + 0*d**3 + w*d**4 = 0.
-1, 0, 1
Let q(u) be the third derivative of -u**6/30 + 4*u**5/15 - 2*u**4/3 - 4*u**2 + u. Factor q(v).
-4*v*(v - 2)**2
Let o(s) be the second derivative of -2*s**6/3 - 5*s**5/4 - 5*s**4/12 - 3*s. Factor o(r).
-5*r**2*(r + 1)*(4*r + 1)
Let a(q) be the second derivative of 0*q**3 + 0*q**2 - 1/18*q**4 + 0 + 3*q - 1/30*q**5. Factor a(t).
-2*t**2*(t + 1)/3
Let l(t) be the first derivative of -t**5/120 - t**4/36 - t**3/36 + 4*t - 3. Let d(x) be the first derivative of l(x). Factor d(s).
-s*(s + 1)**2/6
Let k be 12/9*6/4. Let j be 2 + 54/(-15) + k. What is w in -j*w**2 + 0 - 2/5*w = 0?
-1, 0
Let a(r) be the second derivative of r**5/40 - r**4/12 + r**3/12 - r. Find w, given that a(w) = 0.
0, 1
Let l be ((-8)/(-2))/(2 + 0). Solve -h - l*h + 2*h**4 - 2*h**2 + 2*h**3 + h = 0.
-1, 0, 1
Let h(q) be the second derivative of 0 - 1/189*q**7 - 4/135*q**6 - 2/27*q**4 + 0*q**2 - 1/27*q**3 - 2*q - 1/15*q**5. Find c, given that h(c) = 0.
-1, 0
Let i(x) be the second derivative of x**5/120 - x**4/36 - x**3/36 + x**2/6 - 3*x. What is j in i(j) = 0?
-1, 1, 2
Suppose -4*f + 2 = -5*f. Let q be (1/2)/(f/(-20)). Find g, given that 4*g - 3*g**2 + 3*g**2 - q*g + g**2 = 0.
0, 1
Let x = -3/92 - -18/23. Let -1/4*p**2 - x - p = 0. What is p?
-3, -1
Let h(o) = 17*o**5 - 37*o**4 + 21*o**3 + o**2 + 4*o. Let d(m) = -33*m**5 + 73*m**4 - 43*m**3 - m**2 - 7*m. Let z(f) = 6*d(f) + 11*h(f). Factor z(v).
-v*(v - 1)**3*(11*v + 2)
Let d(z) be the first derivative of 0*z + 3 - 1/2*z**2 + 1/5*z**5 + 1/4*z**4 - 1/3*z**3. Factor d(g).
g*(g - 1)*(g + 1)**2
Let n = 590/3 - 196. Suppose 0 = 2*f - u - 2, 4*u = 5*f - 2. Determine q, given that 1/3*q**f + 1/3 + n*q = 0.
-1
Let w be (-7)/(-3) - 2/(-3). Suppose -4 = w*h - 5*z, -h + 0*z + 8 = 3*z. Find m such that 2*m**5 - 3*m**h - 2*m**4 - 3*m**3 + 5*m**2 + m**3 = 0.
-1, 0, 1
Let r be (-44)/(-4)*(-14)/(-77). Solve 0*x + 0*x**r + 0 - 2/5*x**3 = 0 for x.
0
Let q(x) be the third derivative of x**6/36 - 13*x**5/90 + x**4/9 + 4*x**3/9 - 11*x**2. Factor q(l).
2*(l - 2)*(l - 1)*(5*l + 2)/3
Suppose 0 = -5*q - 3*s - s - 2, 4*q + 4*s = 0. Let p be ((-2)/q)/6*7. Factor 5/2*z**2 + 1/6 - 3/2*z**3 - p*z.
-(z - 1)*(3*z - 1)**2/6
Let m be 2*47/(-98) - -1. Let f = m - -92/147. Determine o, given that 1/3*o + f + 1/3*o**4 - o**2 - 1/3*o**3 = 0.
-1, 1, 2
Let g(c) be the third derivative of c**8/168 + c**7/21 + 3*c**6/20 + 7*c**5/30 + c**4/6 + 6*c**2. Factor g(z).
2*z*(z + 1)**3*(z + 2)
Let c(j) be the second derivative of -j**4/12 + 5*j**3/6 + 22*j. Factor c(b).
-b*(b - 5)
Factor 0*j**2 + 2/3*j**3 + 0*j + 0 + 2/3*j**5 - 4/3*j**4.
2*j**3*(j - 1)**2/3
Let v(t) be the second derivative of -t**10/30240 + t**9/7560 + t**8/6720 - t**7/1260 - 5*t**4/12 - 4*t. Let r(y) be the third derivative of v(y). Factor r(o).
-o**2*(o - 2)*(o - 1)*(o + 1)
Let f(z) be the second derivative of 3*z**4/4 + z**3/2 - z**2 + 2*z. Let k(v) = -19*v**2 - 5*v + 4. Let r(x) = 5*f(x) + 2*k(x). What is j in r(j) = 0?
-1, 2/7
Let v(w) be the third derivative of -w**7/1785 + w**6/1020 + w**5/510 - w**4/204 + 29*w**2. Find m, given that v(m) = 0.
-1, 0, 1
Let h(j) be the third derivative of -j**8/1344 + j**7/168 - j**6/160 - 3*j**5/80 - 19*j**2. Solve h(f) = 0.
-1, 0, 3
Let y(n) be the third derivative of -n**5/15 - 34*n**2. Factor y(k).
-4*k**2
Let u be (21 - (-6 - 0))*(-54)/(-4). Determine x, given that -u*x**5 - 54*x**3 + 0 - 4*x**2 + 0*x - 243*x**4 = 0.
-2/9, 0
Suppose -d + 9 = 3. Let h(r) be the third derivative of 0 + 0*r**3 + 2*r**2 + 1/10*r**5 + 1/6*r**4 + 1/40*r**d + 1/420*r**7 + 0*r. Factor h(w).
w*(w + 2)**3/2
Let r = -1 - -6. Let 10*q + 11*q + 6*q**3 - 24*q**2 - 3*q**5 + 6*q**4 + 4*q**r - 6 - 4