be the first derivative of 8*f**5/5 - 7*f**4/2 - 2*f**3/3 + 7*f**2 - 6*f + 27. Factor x(v).
2*(v - 1)**2*(v + 1)*(4*v - 3)
Let h(g) = -3*g**3 - g**2 - g + 1. Let p be h(1). Let z be (-2)/p - (-2)/(-20). Find q such that -z*q**3 + 0*q - 2/5*q**2 + 0 = 0.
-1, 0
Let x(n) be the first derivative of 0*n + 2 + 0*n**2 + 0*n**3 + 1/27*n**6 + 4/45*n**5 + 1/18*n**4. Factor x(b).
2*b**3*(b + 1)**2/9
Let x be (2/12)/((12/(-9))/(-4)). Factor -y**3 + 1/2*y**5 + x*y**4 + 1/2 + 1/2*y - y**2.
(y - 1)**2*(y + 1)**3/2
Let p(w) be the second derivative of w**5/20 + w**4/12 - 4*w. Let j be p(0). What is s in 0*s + s**2 + j*s + 2*s**4 - 3*s**2 = 0?
-1, 0, 1
Let m(r) be the second derivative of r**7/14 + r**6/10 - 9*r**5/20 - 5*r**4/4 - r**3 - 4*r. Solve m(d) = 0 for d.
-1, 0, 2
Let q(i) be the first derivative of 4/3*i + 2/3*i**2 - 1 + 1/9*i**3. Factor q(r).
(r + 2)**2/3
Suppose -3*u + 8 + 10 = 3*r, 0 = -2*u - 5*r + 24. Suppose -5*o = -17 + u. Factor j - j**3 + 2*j**4 - 5*j**2 + 3*j**2 - o*j**4 + 3*j**2.
-j*(j - 1)*(j + 1)**2
Let s(x) = -2*x + 2. Let i be s(4). Let m = 10 + i. Determine n so that -2*n**2 + 9*n**3 - 9*n + 0*n**2 + 0 + 7*n**m - 3*n**2 - 2 = 0.
-1, -2/7, 1
Let k(n) be the second derivative of -n**4/8 - n**3/4 + 3*n. Let k(t) = 0. Calculate t.
-1, 0
Suppose 3*y = -n + 11, -y - y - 4 = -5*n. Find m such that 11*m**3 + 7*m**2 + 16*m**4 - 2*m**n + 7*m**5 - 3*m**2 = 0.
-1, -2/7, 0
Let a(p) = 4*p**2 + 20*p - 50. Let z(d) = 2*d**2 + 20*d - 50. Let m(i) = -2*a(i) + 3*z(i). Factor m(b).
-2*(b - 5)**2
Let z(y) be the third derivative of -27*y**6/8 - 3*y**5 - 5*y**4/6 - 22*y**2. Factor z(w).
-5*w*(9*w + 2)**2
Let z be ((-4)/18)/(1/(-3)). Let v = -85 - -87. Factor 0*c + 0 + z*c**v + 2/3*c**3.
2*c**2*(c + 1)/3
Let p(w) = -w**2 - w + 1. Let r(f) = -16*f**2 - 20*f + 12. Let b(o) = -12*p(o) + r(o). Let b(g) = 0. Calculate g.
-2, 0
Let h(z) = 3*z**3 + 12*z**2 - 12*z. Let o(j) = j**2 - j. Let r(y) = -h(y) + 12*o(y). Factor r(k).
-3*k**3
Let r(a) be the first derivative of 4*a**3/15 - 6*a**2/5 - 16*a/5 - 35. Factor r(z).
4*(z - 4)*(z + 1)/5
Let r be (6564/8)/(-544 + 1). Let a = -2/181 - r. Find v, given that 3*v**2 - v**3 - 1/2 + a*v**5 - 1/2*v - 5/2*v**4 = 0.
-1, -1/3, 1
Let a be (-48)/(-27) + (-155)/45 + 3. Factor -1/3*p**3 - a*p + 4/3*p**2 + 0.
-p*(p - 2)**2/3
Let r = 4/29 - 43/522. Let u(c) be the second derivative of r*c**4 - 3*c + 0 + 0*c**2 + 1/9*c**3. Solve u(a) = 0.
-1, 0
Let j(u) be the third derivative of -u**5/480 - 5*u**4/32 - 75*u**3/16 - 27*u**2. Factor j(r).
-(r + 15)**2/8
Suppose 14 = 3*o + 3*c - 2*c, 18 = o - 3*c. Factor o - 9*k**3 - 3*k**2 + 12*k**4 - 6.
3*k**2*(k - 1)*(4*k + 1)
Let d = 26 + -19. Let 84*y**2 - 16 - 101*y**3 - 20*y + 40*y**4 + d*y**3 + 12*y - 6*y**5 = 0. Calculate y.
-1/3, 1, 2
Suppose 1 = -p - 3. Let o(c) = -6*c**3 + 15*c**2 + 6*c + 3. Let b(v) = 3*v**3 - 7*v**2 - 3*v - 1. Let t(n) = p*o(n) - 9*b(n). Let t(l) = 0. What is l?
-1, 1
Let i(o) = -o + 12. Let b be i(8). Suppose t = -t. Factor -8*s + t*s**b - 2*s**2 - 8*s**3 - 10*s**2 - 2 - 2*s**4.
-2*(s + 1)**4
Let m(y) be the second derivative of 5/3*y**3 - 3/4*y**4 + 0 + 7/40*y**5 - 2*y**2 - 1/60*y**6 - 3*y. Factor m(t).
-(t - 2)**3*(t - 1)/2
Determine u, given that 1/5*u**4 + 9/5*u**2 + 0 - 6/5*u**3 + 0*u = 0.
0, 3
Solve 1/2*k**5 + 5/2*k**4 + 0 + 3/2*k**2 + 0*k + 7/2*k**3 = 0.
-3, -1, 0
Let f(o) = -o**3 - o - 1. Let a(i) = -4*i - 3. Let p be a(-2). Let j(r) = -4*r**3 - r**2 - 5*r - 5. Let t(w) = p*f(w) - j(w). Factor t(y).
-y**2*(y - 1)
Let g(i) be the first derivative of -1/8*i**4 + 9 - i + 1/4*i**2 + 1/3*i**3. Suppose g(y) = 0. What is y?
-1, 1, 2
Solve -2/9*s**4 + 2/9 + 4/9*s - 4/9*s**3 + 0*s**2 = 0 for s.
-1, 1
Suppose 47*v - 95 = 46. Factor 0 + 0*k + 0*k**2 + 3/7*k**v.
3*k**3/7
Let h = 647/5 - 129. Suppose 1 = -u + 3*s, 0 = -5*u - 5*s + s + 33. Let -2/5*w**2 + 0 + h*w**4 - 1/5*w**u + 0*w**3 + 1/5*w = 0. Calculate w.
-1, 0, 1
Let o be 5/(-2)*12/(-10). Suppose -20 = -2*d - 14. Factor -5*h**3 + 4*h**2 - h**2 - h + 0*h**d + h**4 + 2*h**o.
h*(h - 1)**3
Let k(o) = 37*o**2 - 45*o - 1. Let w = -4 - -13. Let l(f) = 9*f**2 - 11*f. Let u(m) = w*l(m) - 2*k(m). Factor u(g).
(g - 1)*(7*g - 2)
Let d(c) be the second derivative of -2*c**6/15 - 7*c**5/5 - 5*c**4 - 26*c**3/3 - 8*c**2 + 5*c. Suppose d(n) = 0. Calculate n.
-4, -1
Let c(r) = -18*r**4 - 17*r**3 + 23*r**2 + 12*r. Let o(m) = 9*m**4 + 9*m**3 - 12*m**2 - 6*m. Let i(j) = 3*c(j) + 5*o(j). Factor i(y).
-3*y*(y - 1)*(y + 1)*(3*y + 2)
Determine q, given that 1/2 - 5/4*q + q**2 - 1/4*q**3 = 0.
1, 2
Let m(z) = -3*z**2 + 5*z + 3. Let i(q) be the second derivative of q**4/12 - q**3/3 - q**2/2 - 4*q. Let f(h) = 5*i(h) + 2*m(h). Determine p so that f(p) = 0.
-1, 1
Let p(r) = -r - 1. Suppose 5*o + 15 = -0*o. Let q(t) be the third derivative of t**5/30 - 7*t**4/24 - t**3/6 + 3*t**2. Let u(a) = o*p(a) + q(a). Factor u(x).
2*(x - 1)**2
Let -11*t - 39 + 14*t - 3*t**2 + 39 = 0. Calculate t.
0, 1
Let f(h) be the third derivative of h**8/90720 + h**7/5670 + h**6/810 - h**5/20 - 2*h**2. Let x(c) be the third derivative of f(c). Factor x(s).
2*(s + 2)**2/9
Let f = -2/461 + 11531/1383. Factor 0*v**2 - 4/3*v**3 + 0*v + 20/3*v**4 - f*v**5 + 0.
-v**3*(5*v - 2)**2/3
Let o(f) be the second derivative of -f**9/5040 + f**7/840 + 5*f**4/12 - 4*f. Let m(n) be the third derivative of o(n). What is c in m(c) = 0?
-1, 0, 1
Factor 7*x - 4*x**2 - 4*x**4 - 6*x**3 - 8*x - x**5 + 0*x**3.
-x*(x + 1)**4
Let y = 2/669 + 148/223. What is p in 2/3*p + y*p**3 + 0 + 4/3*p**2 = 0?
-1, 0
Let t(n) be the second derivative of n**10/15120 + n**9/3780 + n**8/3360 - n**4/4 + 2*n. Let s(k) be the third derivative of t(k). Factor s(m).
2*m**3*(m + 1)**2
Factor -46*f**3 + 64*f**2 - 36*f - 4*f**5 + 8 - 10*f**3 + 24*f**4 - 5*f**5 + 5*f**5.
-4*(f - 2)*(f - 1)**4
Factor 15*n + 40*n**3 + 5*n - 255*n**4 + 10*n - 95*n**2 + 280*n**4.
5*n*(n - 1)*(n + 3)*(5*n - 2)
Let p be (-4)/10 - 2/(-5). Let c be (4*1)/((-2)/(-1)). Solve r**2 - 3*r**2 + p*r**c = 0 for r.
0
Suppose o = -3 - 15. Let c be 4/18 + (-32)/o. Factor l**4 - c*l**2 + 2*l**4 + l**4 - 2*l**4.
2*l**2*(l - 1)*(l + 1)
Find w, given that -20/3*w**3 + 0 + 0*w**2 + 0*w + 2*w**4 + 2/3*w**5 = 0.
-5, 0, 2
Let m(l) be the third derivative of l**5/60 - 2*l**3/3 - 25*l**2. Factor m(k).
(k - 2)*(k + 2)
Let c(s) be the third derivative of -3*s**8/14 - 13*s**7/35 + 8*s**6/15 + 43*s**5/30 + s**4/3 - 4*s**3/3 - 14*s**2. Solve c(j) = 0 for j.
-1, -2/3, 1/4, 1
Let r be (-30)/(-2) + (-7 - -8). Find d, given that 16*d + 4*d**5 - 4*d**3 - r*d = 0.
-1, 0, 1
Let g(n) = -8*n**4 + 26*n**3 - 45*n**2 + 27*n. Let y(z) = -9*z**4 + 27*z**3 - 45*z**2 + 27*z. Let k(d) = -6*g(d) + 5*y(d). Let k(w) = 0. What is w?
0, 1, 3
Let q(s) be the third derivative of 7*s**6/24 + 5*s**5/4 + 15*s**4/8 + 5*s**3/6 - 32*s**2. Determine v, given that q(v) = 0.
-1, -1/7
Let f be (0 - 4/3)/((-48)/72). Determine b, given that 0 - 1/3*b**f + 1/3*b**3 + 0*b = 0.
0, 1
Suppose -4*g - 35 - 73 = 0. Let c be (-12)/g + 6/(-27). Let c*p**3 + 0 - 2/9*p**4 + 2/9*p**2 - 2/9*p**5 + 0*p = 0. Calculate p.
-1, 0, 1
Let h(c) be the third derivative of -5*c**8/336 + c**6/12 - 5*c**4/24 - 13*c**2. Factor h(o).
-5*o*(o - 1)**2*(o + 1)**2
Let k(n) be the second derivative of n**8/3360 - n**7/630 - n**6/360 + n**5/30 - n**4/4 + n. Let x(g) be the third derivative of k(g). What is d in x(d) = 0?
-1, 1, 2
Let d(y) be the first derivative of -1/7*y**2 + 1/14*y**4 + 2/7*y - 2/21*y**3 + 3. Factor d(t).
2*(t - 1)**2*(t + 1)/7
Find p, given that -3/4*p**2 - 1/8*p**3 - 3/4 - 11/8*p = 0.
-3, -2, -1
Let i(f) be the first derivative of -1/3*f**3 + f**5 + 0*f**2 + 2 + 0*f - 1/8*f**4. Suppose i(n) = 0. What is n?
-2/5, 0, 1/2
Let i = 57847/2492 - 25/356. Find d, given that -72/7*d - i*d**2 - 8/7 = 0.
-2/9
Let n(h) be the third derivative of 1/420*h**7 + 5/48*h**4 - 1/240*h**6 - 1/40*h**5 + 4*h**2 - 1/6*h**3 + 0*h + 0. Factor n(o).
(o - 1)**3*(o + 2)/2
Let b(k) be the third derivative of k**6/90 + k**5/9 - 42*k**2. Factor b(t).
4*t**2*(t + 5)/3
Let -21/8*x**3 + 3/8 + 3/4*x**4 - 15/8*x + 27/8*x**2 = 0. Calculate x.
1/2, 1
What is i in -3*i - 6*i + 16*i**2 + 2*i + 4*i**3 + 19*i = 0?
-3, -1, 0
Suppose 17 = 5*f - 3. Suppose 3*w - 2*w = f. Find h, given that 6*h**3 + 7*h**2 + h**4 - h**2 + w*h - 2*h**3 + 1 = 0.
-1
Let s(d) be the firs