 + 11*f**3/3 + 10. Let t(x) be the third derivative of a(x). Factor t(m).
3*(m - 2)*(m + 1)**2/4
Let x(d) be the first derivative of 2/3*d**3 + 5/4*d**2 - 3*d - 20. Suppose x(i) = 0. Calculate i.
-2, 3/4
Suppose -5*n - 22*n + 54 = 0. Factor 0 + 9/5*z**n - 7/5*z**3 - 2/5*z.
-z*(z - 1)*(7*z - 2)/5
Let g(v) = v**4 - v**3 - 12*v**2 - 18*v + 6. Let b(x) = 2*x**4 - 2*x**3 - 25*x**2 - 39*x + 13. Let z(f) = 6*b(f) - 13*g(f). What is m in z(m) = 0?
-2, 0, 3
Solve 100/11*w - 192/11 - 2/11*w**2 = 0 for w.
2, 48
Let h(w) be the third derivative of 0*w**3 - 1/4*w**4 + 36*w**2 - 1/30*w**5 + 0 + 0*w. Determine k so that h(k) = 0.
-3, 0
Let g(c) = -c**3 + 12*c**2 - 13*c + 26. Let w be g(11). Factor 10*h**2 + 10*h**4 + 15*h**3 - 14*h**w + 9*h**4.
5*h**2*(h + 1)*(h + 2)
Let g(k) be the second derivative of -k**6/75 - 2*k**5/25 + k**4/5 + 4*k**3/15 - k**2 - 37*k. Let g(a) = 0. Calculate a.
-5, -1, 1
Let i(p) be the third derivative of p**6/60 + p**5/18 + p**4/36 - p**3/9 - 179*p**2. Find t, given that i(t) = 0.
-1, 1/3
Let d(g) be the second derivative of 5*g**6/36 + 11*g**5/24 - 13*g**4/6 + 23*g**3/9 - 4*g**2/3 - 72*g. Factor d(l).
(l - 1)*(l + 4)*(5*l - 2)**2/6
Suppose 5*a + 2*l + 8 = 1, -a - 5*l = 6. Let c be (14/49 - 11/14)*a. Find o, given that 0 + 1/2*o**5 + c*o**2 + 0*o + 3/2*o**4 + 3/2*o**3 = 0.
-1, 0
Suppose 0 = 23*x - 22*x. Let k(q) be the second derivative of x - 1/20*q**4 + 0*q**2 + q - 1/5*q**3. Factor k(c).
-3*c*(c + 2)/5
Let c(i) be the third derivative of 25*i**2 + 0*i + 1/32*i**6 + 1/280*i**7 - 9/4*i**3 - 21/32*i**4 + 1/80*i**5 + 0. Factor c(p).
3*(p - 2)*(p + 1)*(p + 3)**2/4
Let y(l) = -l**2 + 37*l - 56. Let v(b) = 36*b - 51. Let t(q) = 4*v(q) - 3*y(q). Factor t(a).
3*(a - 1)*(a + 12)
Let h(i) be the second derivative of i**7/189 - 2*i**6/135 - 7*i**5/90 + 10*i**4/27 - 4*i**3/9 + 2*i + 24. Let h(t) = 0. Calculate t.
-3, 0, 1, 2
Let m(d) be the second derivative of -d**6/90 + 7*d**4/36 + d**3/3 - 205*d. Factor m(x).
-x*(x - 3)*(x + 1)*(x + 2)/3
Let k be 2/4 + (-194)/388. Find j such that k - 2/3*j**2 + 2/3*j = 0.
0, 1
Let h(i) be the second derivative of -i**5/4 + 35*i**4/3 - 275*i**3/2 - 1125*i**2 + 2*i - 18. What is f in h(f) = 0?
-2, 15
Factor 34*r**2 - 99*r**2 - 19171*r + 5*r**3 + 19281*r.
5*r*(r - 11)*(r - 2)
Find t such that 0*t**4 - 4*t**4 + 2*t**4 + 5*t**4 - 9*t**2 - 6*t = 0.
-1, 0, 2
Suppose -5*n = 15, 4*l - n - 70 = -3*n. What is z in l - 3*z**2 + 10*z + 22 - 5*z**2 - 45 + 2*z**3 = 0?
1, 2
Suppose -51 = 4*o - 5*o. Let a = -152/3 + o. Factor -2/3*d**4 + 0*d + 0 + 1/3*d**2 + a*d**3.
-d**2*(d - 1)*(2*d + 1)/3
Let l(k) be the second derivative of -k**5/5 - 10*k**4/3 - 6*k**3 + k - 52. Determine i, given that l(i) = 0.
-9, -1, 0
Let y(b) be the first derivative of 0*b + 0*b**3 + 1/9*b**2 - 1/18*b**4 + 9. Factor y(t).
-2*t*(t - 1)*(t + 1)/9
Suppose 1202 = 656*x - 110. Factor -n**x - 7*n - 49/4.
-(2*n + 7)**2/4
Let w(z) be the second derivative of 0*z**2 - 1/3*z**3 - 4/15*z**6 - 1/21*z**7 - 9*z - 3/5*z**5 - 2/3*z**4 + 0. Factor w(h).
-2*h*(h + 1)**4
Let x(k) = -2*k**4 + 4*k**3 - 2*k. Let m(d) = -d**2 + d. Let w(q) = 10*m(q) - x(q). Factor w(j).
2*j*(j - 3)*(j - 1)*(j + 2)
Factor 2/13*z**3 + 72/13*z + 2*z**2 + 0.
2*z*(z + 4)*(z + 9)/13
Let t(m) be the first derivative of m**3/9 + 2*m**2/3 + 4*m/3 + 35. What is q in t(q) = 0?
-2
Let w be (3/9)/(3/18). Let s = w - -2. Find o, given that -16*o**3 - 11*o**2 - 12*o - 4*o**4 - 9*o**2 + s*o = 0.
-2, -1, 0
Suppose -105*i + 8 = -106*i, -4*n = 4*i + 24. Factor 3/2*p**3 + 3/2*p**n + 0*p + 0.
3*p**2*(p + 1)/2
Factor -25/2*t**2 + 5/2*t**3 - 15/2 + 35/2*t.
5*(t - 3)*(t - 1)**2/2
Let o be 20696/4368 - (-1)/(-6). Determine t, given that 8/7 + 78/7*t**3 - o*t - 18/7*t**4 - 54/7*t**5 + 2/7*t**2 = 0.
-1, 1/3, 2/3
Let j(q) be the third derivative of -q**5/60 - 3*q**4/8 + 6*q**3 - 6*q**2 - 5. Determine v, given that j(v) = 0.
-12, 3
Let k be 47 + -40 - (-61)/(-15). Suppose 16/15 + 2/3*j**2 + k*j = 0. Calculate j.
-4, -2/5
Let l = 3917 - 599299/153. Let j = 22/51 + l. Factor j - 2/9*s - 2/9*s**2.
-2*(s - 1)*(s + 2)/9
Let j = 106 - -111. Let m = 217 - j. Factor -2/5*b**3 + m*b + 0*b**2 + 0 - 1/5*b**5 - 3/5*b**4.
-b**3*(b + 1)*(b + 2)/5
Let o be 3 - 3 - -1 - -1. Suppose 3*j - 21 = -5*c, 2*c - 4*j - o = -2*j. Factor -3*b**4 + 16*b**3 + 2*b**2 - b**4 - 12*b**c - 5*b + b**5 + 2 + 0*b**4.
(b - 2)*(b - 1)**3*(b + 1)
Suppose -11*s = -60 + 16. Find y, given that y**s - y**3 + 64*y**2 - 51*y**2 - 12*y - 5*y**3 + 4 = 0.
1, 2
Let l(t) be the second derivative of t**6/540 + t**5/45 - 5*t**4/36 + 5*t**3/2 + 7*t. Let n(s) be the second derivative of l(s). Suppose n(a) = 0. What is a?
-5, 1
What is d in 24/5 + 92/5*d**3 + 4/5*d**2 - 28/5*d**4 - 92/5*d = 0?
-1, 2/7, 1, 3
Suppose 4*f - f + 15 = 0. Let k be (4 + 1)*f/(-50). Find y, given that -k*y - 2*y**2 + 1 + 3/2*y**3 = 0.
-2/3, 1
Let f be -25 - 4/8*-4. Let l = 70 + f. Let 46 - x**2 + 5*x - l - 3*x = 0. Calculate x.
1
Solve -11/2*z**2 - 58/3 + 20*z + 1/6*z**3 = 0.
2, 29
Let f(d) = -d**5 - 9*d**4 - d**3 - 3*d**2 + 5*d. Let i(o) = o**5 + 8*o**4 + 2*o**3 - 5*o. Let b(r) = 4*f(r) + 6*i(r). What is s in b(s) = 0?
-5, -1, 0, 1
Find q, given that 1498/5*q + 118/5*q**3 + 758/5*q**2 - 588/5 + 6/5*q**4 = 0.
-7, -6, 1/3
Let a be (49/2 + -2)*(-28)/(-35). Let n be 76/24 - 3/a. Determine d so that 24/5*d**4 - 8/5*d**5 + 0 + 12/5*d**2 - 2/5*d - 26/5*d**n = 0.
0, 1/2, 1
Determine p, given that -6*p**3 + 0 - 2/3*p + 2*p**5 + 5*p**2 - 1/3*p**4 = 0.
-2, 0, 1/6, 1
Let i(q) be the second derivative of q**4/5 + 127*q**3/10 - 48*q**2/5 + 469*q. Factor i(w).
3*(w + 32)*(4*w - 1)/5
Let b(g) be the second derivative of -g**5/80 + 125*g**4/16 - 15625*g**3/8 + 1953125*g**2/8 + g + 117. Factor b(a).
-(a - 125)**3/4
Let t be (-7)/(-3) - 51/153. Factor 4/9*n**t + 2/9*n + 2/9*n**3 + 0.
2*n*(n + 1)**2/9
Let f(m) be the first derivative of -13 - 5*m - 5/6*m**3 - 15/4*m**2. Factor f(s).
-5*(s + 1)*(s + 2)/2
Let t be (-1)/(-6) + 3/6. Let b = 1/671 + 1339/2013. Factor -b*d - 2/3 + 2/3*d**2 + t*d**3.
2*(d - 1)*(d + 1)**2/3
Let d(i) be the first derivative of 5*i**4/4 + 5*i**3/3 - 5*i**2 + 92. What is s in d(s) = 0?
-2, 0, 1
Let w(x) = 4*x**2 + 28*x + 29. Let u be w(-6). Let b(m) be the second derivative of -1/9*m**4 - 1/30*m**u - 1/9*m**3 - 2*m + 0 + 0*m**2. Factor b(s).
-2*s*(s + 1)**2/3
Let m(u) be the third derivative of -u**5/140 + 4*u**4/7 + 33*u**3/14 - 17*u**2 + 9. Factor m(z).
-3*(z - 33)*(z + 1)/7
Let k(i) = -i**2 + 3*i + 70. Suppose 0 = 36*d - 28*d - 80. Let a be k(d). Factor -3/2*w**2 + 0*w + 0 + 3/2*w**4 + a*w**3.
3*w**2*(w - 1)*(w + 1)/2
Let h(g) be the third derivative of 0 + 2*g**3 - 1/160*g**6 + 9/80*g**5 + 3*g**2 - 3/4*g**4 + 0*g. Suppose h(q) = 0. What is q?
1, 4
Let k(f) = -f**3 - 3*f**2 + 6*f + 9. Let b be k(-4). Let w = b - 1/3. Factor 2/9*g**4 - 2/3*g**3 + 0 - 2/9*g + w*g**2.
2*g*(g - 1)**3/9
Let g(w) be the third derivative of w**6/210 - 2*w**5/21 - 23*w**4/42 - 8*w**3/7 - w**2 + 29. Factor g(n).
4*(n - 12)*(n + 1)**2/7
Let t(g) be the second derivative of -g**6/30 - g**5/20 + 7*g**4/12 + 13*g**3/6 + 3*g**2 - 12*g + 11. Find l such that t(l) = 0.
-2, -1, 3
Let g(a) be the third derivative of -a**6/80 - a**5/20 + 3*a**4/16 - 121*a**2. Factor g(n).
-3*n*(n - 1)*(n + 3)/2
Let m be 3/((-1287)/(-191)) - (-4)/(-12). Let s = 2686/1001 - m. Determine r so that -s + 46/7*r**2 - 8/7*r**3 - 60/7*r = 0.
-1/4, 3
Let u = -1515 + 1521. Let q(k) be the third derivative of -2/15*k**5 + 0*k**3 + 1/20*k**u + 2/105*k**7 + 0 + 0*k - 1/168*k**8 - 1/3*k**4 - k**2. Factor q(j).
-2*j*(j - 2)**2*(j + 1)**2
Let j = -15 - -17. Let o(y) = 2 - 11*y**3 + 1 - 2*y + 0 - 19*y**j. Let r(c) = 23*c**3 + 37*c**2 + 4*c - 5. Let g(k) = 5*o(k) + 3*r(k). Factor g(u).
2*u*(u + 1)*(7*u + 1)
Let u(j) be the third derivative of -15*j**2 + 1/28*j**4 + 0*j + 1/420*j**5 + 0 + 5/42*j**3. Factor u(a).
(a + 1)*(a + 5)/7
Solve 1/6*v**3 - v**2 - 4/3 - 5/2*v = 0.
-1, 8
Let r(c) = -13*c**2 - 58*c - 79. Let m(f) = 63*f**2 + 288*f + 396. Let v(o) = 5*m(o) + 24*r(o). Factor v(j).
3*(j + 2)*(j + 14)
Let a(k) be the second derivative of -16/9*k**3 + 0 - 9/2*k**2 + 2*k - 2/9*k**4 - 1/90*k**5. Let q(m) be the first derivative of a(m). Solve q(v) = 0 for v.
-4
Suppose 2*q + 6*q - 160 = 0. Let c be 2/12*4 + q/(-60). Solve 0*u + 1/3*u**3 - c*u**5 + u**4 -