*3 - 4 - 7/2*b**4 + q*b**2 = 0. Calculate b.
-2, 2/7, 1
Let c(u) be the third derivative of -u**6/540 + u**5/270 + u**4/108 - u**3/27 - 13*u**2. Determine p so that c(p) = 0.
-1, 1
Let l(m) be the first derivative of m**3/3 - 8*m**2 + 64*m + 10. Suppose l(c) = 0. What is c?
8
Let h(v) = -v - 2. Let m be h(-4). Let -7 + 5 - 7*y + 0*y**m - 6*y**2 + 15*y = 0. What is y?
1/3, 1
Let t(i) = -i**3 - 11*i**2 - 4*i + 16. Let v(g) = -g**2 - g + 2. Let d(k) = -4*t(k) + 44*v(k). Factor d(u).
4*(u - 2)*(u - 1)*(u + 3)
Let u(z) be the third derivative of 0*z**3 + 1/105*z**7 + 1/15*z**6 + 0*z + 0 + 1/10*z**5 + z**2 + 0*z**4. Determine r, given that u(r) = 0.
-3, -1, 0
Let w(j) = -j - 4. Let x be w(-6). Suppose 3 + 4*p**2 + 1 - 2*p**x - 6*p = 0. What is p?
1, 2
Let z = -299 + 304. Determine c so that 2/5*c**z + 0 + 0*c**2 + 0*c**4 + 0*c - 2/5*c**3 = 0.
-1, 0, 1
Let b(k) = -30*k**3 - 25*k**2 + 70*k + 25. Let u(t) = -t**3 - t**2 + t + 1. Let i(j) = -b(j) + 25*u(j). Factor i(z).
5*z*(z - 3)*(z + 3)
Let o(b) be the third derivative of -b**5/240 - 19*b**2. Solve o(w) = 0.
0
Let o = 2/77 - -221/385. Let q(h) be the first derivative of 0*h**3 - 1/10*h**4 + o*h**2 + 1 - 4/5*h. Factor q(v).
-2*(v - 1)**2*(v + 2)/5
Let x(u) be the first derivative of 3*u**5/5 - 3*u**4/4 - 9*u**3 - 33*u**2/2 - 12*u + 19. Let x(p) = 0. Calculate p.
-1, 4
Let q(k) be the second derivative of -169/28*k**4 - 6/7*k**2 + 0 + k + 26/7*k**3. Suppose q(t) = 0. What is t?
2/13
Let b be (-6)/(-9) - (-255)/(-9). Let j = -27 - b. Determine r so that 4/3*r**3 + 2/3 - 2/3*r**5 - 2/3*r - 4/3*r**2 + j*r**4 = 0.
-1, 1
Let p(g) = -4*g**4 + 2*g**3 + 10*g**2 - 2. Let b(r) = -8*r**4 + 5*r**3 + 21*r**2 - 3. Let j(i) = -2*b(i) + 5*p(i). Factor j(o).
-4*(o - 1)**2*(o + 1)**2
Suppose -3*o + 43 = -20. Let i be (18/o)/((-2)/(-14)). Factor i*d - 15*d**5 - 14*d**3 + 3*d**2 - 39*d**4 - 19*d**3 + 6*d**3.
-3*d*(d + 1)**3*(5*d - 2)
Suppose -2*t + 11 = -o + 2*t, t - 7 = -4*o. Factor -3*r**3 - 5 + 6*r**2 - 3*r + 4 + o.
-3*r*(r - 1)**2
Let j be (-7 + 6)*(-3)/(-9)*-2. What is i in j*i**2 - 2/3 + i = 0?
-2, 1/2
Let w be (4/(-14) - 119/98)*-2. Factor 0 - 2/9*c**4 - 4/9*c - 8/9*c**w - 10/9*c**2.
-2*c*(c + 1)**2*(c + 2)/9
Determine p, given that 2/9*p**4 + 0*p**2 - 4/9*p - 2/9 + 4/9*p**3 = 0.
-1, 1
Let m(i) be the third derivative of 0*i + 0 + 1/75*i**5 + 4*i**2 - 2/15*i**3 + 1/300*i**6 - 1/60*i**4. Determine f so that m(f) = 0.
-2, -1, 1
Let n(z) = -3*z**4 - 13*z**3 - 4*z**2 - 5*z. Let r(l) = 3*l**4 + 14*l**3 + 4*l**2 + 6*l. Let j(x) = -6*n(x) - 5*r(x). Factor j(b).
b**2*(b + 2)*(3*b + 2)
Suppose 5*g - 28 = -j, j + 8 = g + 2*j. Suppose -4*r + g = 3*o - 2, 3*r - o = 15. Solve -n**r - 3*n**3 + 2*n**2 + 3*n**4 + 7*n**3 + 0*n**3 = 0 for n.
-1, 0
Factor -2/7*b**2 + 1/7*b + 1/7*b**3 + 0.
b*(b - 1)**2/7
Suppose -7*j = -3*j + 12. Let f be 1 - j/(2 + 1). Factor -3*a + 3*a - 2*a**f + 2 + 0*a.
-2*(a - 1)*(a + 1)
Suppose -4 = -4*h + 4. Suppose -h*m = -4 - 0. Solve 2/5*x**3 + 0 + 2/5*x**m - 4/5*x = 0.
-2, 0, 1
Factor -k**2 - 2*k - 4/3 - 1/6*k**3.
-(k + 2)**3/6
Let b(p) be the third derivative of -3*p**2 + 0*p - 2/3*p**3 + 1/4*p**4 + 1/48*p**6 + 0 + 3/20*p**5. Determine w so that b(w) = 0.
-2, 2/5
Let s(u) = -u**2 - 8*u + 0 + 0*u**2 + 15 - 3. Let v be s(-9). Solve 32/5*b**2 - 14/5*b**v - 22/5*b + 4/5 = 0 for b.
2/7, 1
Let j be (-2)/(-10 - (-3 + 3)). Let u(y) be the first derivative of 1 - 2/15*y**3 + j*y**2 + 0*y. Factor u(w).
-2*w*(w - 1)/5
Let u(m) = -m - 4. Let h be u(-5). Let k be (h - 3/9)*3. Factor -4/7*s + 2/7*s**k + 2/7.
2*(s - 1)**2/7
Let p(q) = 359*q**4 - 646*q**3 + 215*q**2 + 70*q + 6. Let x(w) = 1435*w**4 - 2584*w**3 + 861*w**2 + 281*w + 25. Let o(y) = 9*p(y) - 2*x(y). Factor o(c).
(c - 1)**2*(19*c + 2)**2
Let d(t) be the third derivative of -t**6/30 + 2*t**5/15 + t**4/6 - 4*t**3/3 - 12*t**2. Factor d(m).
-4*(m - 2)*(m - 1)*(m + 1)
Factor -1/4*n**2 - 1/2*n + 1/4*n**3 + 0.
n*(n - 2)*(n + 1)/4
Suppose 8*w - 5*w**3 - 8*w**2 + 7*w**3 + 0*w**3 = 0. What is w?
0, 2
Let t(n) be the first derivative of -6/7*n + 3/2*n**2 - 5/7*n**3 - 6. Factor t(a).
-3*(a - 1)*(5*a - 2)/7
Solve 10/9*w**2 - 4/9*w + 0 = 0 for w.
0, 2/5
Let m = 4 + -2. Suppose 0 = -8*h - 7 + 39. Determine n so that -7/4*n**m - 1 + h*n = 0.
2/7, 2
Let u(f) be the first derivative of -2*f**5/15 + 2*f**4/3 + 4*f**3/9 - 4*f**2 - 6*f - 4. Find a such that u(a) = 0.
-1, 3
Solve 8*k**5 + 404/9*k**2 + 16/9 + 136/9*k + 110/3*k**4 + 542/9*k**3 = 0.
-2, -1, -2/3, -1/4
Suppose 13*b - 2*b**2 + 3*b**2 - 5*b - 2*b**2 - 12 = 0. Calculate b.
2, 6
Factor -84*d**2 + 86*d**3 + 2*d**2 + 104*d**3 - 50*d**4 + 24*d - 46*d**2.
-2*d*(d - 3)*(5*d - 2)**2
Suppose -5*f - 5*s + 60 = 0, -s + 0*s = -f + 6. Let r = f - 7. Factor r*y**4 + 0*y**3 - y**4 - 2*y**3 + y**2.
y**2*(y - 1)**2
Let z(u) be the first derivative of -u**5/12 - 2*u**4/9 + 2*u**3/9 - 6*u - 3. Let x(f) be the first derivative of z(f). Let x(b) = 0. Calculate b.
-2, 0, 2/5
Let w(d) be the third derivative of d**5/15 + 2*d**4/3 + 2*d**3 - 6*d**2. Determine i so that w(i) = 0.
-3, -1
Suppose 3*x = 5*x - 10. Suppose -7 - 24 = -3*j + 5*l, -j + x*l + 27 = 0. Find u, given that -2/7*u**3 - 2/7*u**4 + 2/7*u + 2/7*u**j + 0 = 0.
-1, 0, 1
Let u(h) = h**4 + h**3. Let s(v) = 4*v**4 + 13*v**3 + 33*v**2 + 40*v + 16. Let g(a) = 4*s(a) - 12*u(a). Let g(r) = 0. What is r?
-4, -1
Let j(t) = -t**5 + t**4 - t**3 + t**2 - t + 1. Let v(h) = -2*h**5 + h**3 + h**2 - h + 1. Let s(g) = j(g) - v(g). Factor s(x).
x**3*(x - 1)*(x + 2)
Factor 119*k - 12*k**2 - 4*k**3 - 127*k + 0*k**3.
-4*k*(k + 1)*(k + 2)
Let s(d) = 128*d**4 - 228*d**3 + 48*d**2 + 52*d. Let c(t) = 51*t**4 - 91*t**3 + 19*t**2 + 21*t. Let z(w) = 12*c(w) - 5*s(w). Factor z(a).
-4*a*(a - 1)**2*(7*a + 2)
Let b = 14 - -33. Let d = 189/4 - b. What is l in -5/4*l**4 + 0 + l**3 + 0*l + 1/2*l**5 - d*l**2 = 0?
0, 1/2, 1
Let i(q) be the first derivative of 2*q**3/9 + 8*q**2 + 96*q + 48. Factor i(x).
2*(x + 12)**2/3
Let c be (-1)/(-210)*166 - 6/10. Let n(p) be the first derivative of 0*p + c*p**3 + 1/14*p**4 + 1/7*p**2 + 4. Determine d so that n(d) = 0.
-1, 0
Let q(t) = -t**2 + 12*t - 18. Let u be q(10). Suppose 0 = s - 2*s. Find r, given that s - r**u - 2/3*r = 0.
-2/3, 0
Let q be ((-1)/(-9))/(2/20*5). Factor -2/9*j**2 + 4/9*j - q.
-2*(j - 1)**2/9
Let a(f) be the second derivative of 0*f**2 - f + 1/80*f**5 + 1/48*f**4 + 0 + 0*f**3. Determine z, given that a(z) = 0.
-1, 0
Let w(t) be the first derivative of -t**4/34 - 2*t**3/17 - 2*t**2/17 + 4. Factor w(c).
-2*c*(c + 1)*(c + 2)/17
Let o(w) be the first derivative of 2/9*w**3 + 1/6*w**4 - 1/9*w**6 + 0*w + 0*w**2 + 1 - 2/15*w**5. Solve o(m) = 0.
-1, 0, 1
Let y be (-137)/(-5) + 6/10. Factor -28*a**3 - y*a**2 + 52*a**2 - 16*a**2.
-4*a**2*(7*a - 2)
Let d(p) be the first derivative of -7*p**6/2 + 69*p**5/5 - 81*p**4/4 + 13*p**3 - 3*p**2 - 34. Factor d(o).
-3*o*(o - 1)**3*(7*o - 2)
Let n = -5 - -9. Let u be 1/3 - 20/(-12). Factor 4*q**u + 0*q**2 + 0*q**2 - 2 - 2*q**n.
-2*(q - 1)**2*(q + 1)**2
Let i(u) be the first derivative of u**4/8 - u**3/6 - u**2/2 + 25. Factor i(y).
y*(y - 2)*(y + 1)/2
Let o(g) be the second derivative of -2*g**6/5 + 11*g**5/5 - 4*g**4 + 8*g**3/3 + 10*g. Determine j so that o(j) = 0.
0, 2/3, 1, 2
Let l(s) be the second derivative of -s**5/25 + 2*s**4/5 - 22*s**3/15 + 12*s**2/5 + 11*s. Determine n, given that l(n) = 0.
1, 2, 3
Factor 14*t**2 - 10*t - 6*t + 4 - 2*t**3 - 22 - 14.
-2*(t - 4)**2*(t + 1)
Let f be (16 - 16)*(-2)/(-10). What is c in f + 1/3*c + 1/3*c**2 = 0?
-1, 0
Let g(v) be the second derivative of 2*v**2 - 2/3*v**6 + 4*v + 3/5*v**5 + 4/3*v**4 + 1/7*v**7 - 3*v**3 + 0. Suppose g(h) = 0. What is h?
-1, 1/3, 1, 2
Let b(c) be the second derivative of -1/6*c**4 + 0*c**2 + 0 - 2/3*c**3 - c. Factor b(y).
-2*y*(y + 2)
Let z(a) be the first derivative of -2 + 1/6*a**2 + 1/3*a + 1/18*a**6 - 2/9*a**3 - 1/6*a**4 + 1/15*a**5. Determine w, given that z(w) = 0.
-1, 1
Let a(v) be the third derivative of 1/15*v**6 + 0*v**3 + 1/12*v**4 + 3*v**2 + 0*v + 0 - 1/6*v**5. Let a(b) = 0. What is b?
0, 1/4, 1
Let x be (-1)/(-9 - (-7 + 4)). Factor -1/2*u**2 - x*u**3 - 1/2*u - 1/6.
-(u + 1)**3/6
Let r be (0 - 10/2)/(-1). Factor h - r*h**5 + 2*h**2 - 2*h - 4*h**2 + 6*h**5 + 2*h**4.
h*(h - 1)*(h + 1)**3
Let o(r) be the third derivative of -2*r**2 + 0*r + 0*r**4 - 1/