ve of 9*k + 13 - q*k**2 + 1/12*k**3. Solve b(d) = 0.
6
Let w = -44767 + 44769. Let l(r) be the first derivative of 2/21*r**3 - 21 + 128/7*r + 16/7*r**w. Find c, given that l(c) = 0.
-8
Let 884*n**2 - 112*n**3 - 158266 + 4*n**4 + 158266 - 1352*n = 0. What is n?
0, 2, 13
Let s(t) be the first derivative of 0*t**4 - 1/480*t**5 - 1/1440*t**6 + 0*t - 8/3*t**3 + 1 + 0*t**2. Let x(a) be the third derivative of s(a). Factor x(n).
-n*(n + 1)/4
Suppose -62/3*o**2 - 7*o**3 + 2/3*o**4 - 40/3*o + 1/3*o**5 + 0 = 0. Calculate o.
-4, -2, -1, 0, 5
Factor 0 - 92/5*q**2 - 94/5*q + 2/5*q**3.
2*q*(q - 47)*(q + 1)/5
Let u(h) be the third derivative of h**7/42 + h**6/24 - h**5 - 35*h**4/6 - 40*h**3/3 - 3*h**2 + h - 53. Factor u(b).
5*(b - 4)*(b + 1)*(b + 2)**2
Let u be (-2)/(-6) - 3/9. Suppose -9*p = 39 - 57. Suppose 4*i**3 - 4*i**p - 2*i + u*i**2 + 5*i**2 - i**4 - 2*i**3 = 0. Calculate i.
-1, 0, 1, 2
Let n(d) be the first derivative of 1/15*d**3 - 1/150*d**5 - 9*d**2 + 17 + 0*d**4 + 0*d. Let q(s) be the second derivative of n(s). Let q(a) = 0. What is a?
-1, 1
Let x = 18 + -18. Suppose 0 = 4*b - x*b - 204. Factor 40*u**3 - b*u**3 + 24 + 9*u**4 - 84*u + 102*u**2 - 40*u**3.
3*(u - 2)**2*(u - 1)*(3*u - 2)
Let z = 149005 + -447005/3. Factor -19/3*x - z - 8/3*x**2 + 1/3*x**3.
(x - 10)*(x + 1)**2/3
Let x be (23 - (-7644)/(-360)) + (-40)/(-100). Factor -x*r - 11/3 - 1/6*r**2.
-(r + 2)*(r + 11)/6
Factor 14 + 137/3*m + 24*m**3 - 1/3*m**5 + 158/3*m**2 + 8/3*m**4.
-(m - 14)*(m + 1)**3*(m + 3)/3
Let m(x) = x**3 + 9*x**2 + 67*x + 2. Let f be m(0). Let t be ((-3)/27)/(4/(-24)). Factor 0*q - 4/3*q**f + t*q**4 + 2/3*q**3 + 0.
2*q**2*(q - 1)*(q + 2)/3
Determine d, given that 264*d**3 + 57*d + 24*d**2 + 15*d - 134*d**3 - 128*d**3 = 0.
-6, 0
Let n = -15569 - -186829/12. Let j(f) be the second derivative of 7/48*f**4 + 9/80*f**5 + 0 + 0*f**2 + 1/168*f**7 + n*f**3 + 1/24*f**6 - 5*f. Factor j(u).
u*(u + 1)**3*(u + 2)/4
Factor -496/7*p**3 + 15860/7*p**2 + 0 - 29768/7*p + 4/7*p**4.
4*p*(p - 61)**2*(p - 2)/7
Let l(g) be the second derivative of -1/2*g**3 + 69*g + 0*g**2 - 1/4*g**4 + 0. Factor l(x).
-3*x*(x + 1)
Let m(j) be the first derivative of j**5/48 - 85*j**4/96 + 25*j**3/4 - 51*j**2/2 + 76. Let f(v) be the second derivative of m(v). Factor f(l).
5*(l - 15)*(l - 2)/4
What is q in 3/4*q**4 - 21/4*q**3 + 84 + 51*q - 9*q**2 = 0?
-2, 4, 7
Let o be (10 + -616)*21/28. Let l = o + 455. Suppose 3/4*j + 1/4*j**2 + l = 0. What is j?
-2, -1
Let h = 1834/5745 - -82/383. Factor -8/15 - 2/15*u**3 + 2/15*u + h*u**2.
-2*(u - 4)*(u - 1)*(u + 1)/15
Let k = -243026 + 243029. Solve 2/3*h + 1/6*h**4 + 4/3 - 1/6*h**k - h**2 = 0 for h.
-2, -1, 2
Let t(s) be the second derivative of s**8/4480 - s**7/840 - s**6/160 + 55*s**4/4 - 91*s. Let o(g) be the third derivative of t(g). Suppose o(a) = 0. What is a?
-1, 0, 3
Find v such that -4/9*v**2 - 1282/9*v + 214/3 = 0.
-321, 1/2
Let o(h) be the second derivative of 5/3*h**3 + 1/12*h**4 - 2*h + 9/2*h**2 + 9. Factor o(d).
(d + 1)*(d + 9)
Let b(m) = m**2 - 18*m - 136. Let u be b(-6). Factor u - 4*g**2 - 10*g + 4*g + 10*g.
-4*(g - 2)*(g + 1)
Let q(c) be the second derivative of c**7/14 + c**6/10 - 39*c**5/20 - 25*c**4/4 - 6*c**3 - 1640*c. Factor q(n).
3*n*(n - 4)*(n + 1)**2*(n + 3)
Let -2*f - 96 + 1/2*f**2 = 0. Calculate f.
-12, 16
Let o(j) be the first derivative of -j**4/48 - 7*j**3/12 - 13*j**2/8 + 90*j - 25. Let f(t) be the first derivative of o(t). Find a, given that f(a) = 0.
-13, -1
Let m(j) be the second derivative of -1/10*j**5 + 2/3*j**3 + 7*j + 1/6*j**4 + 0*j**2 + 5. Suppose m(s) = 0. Calculate s.
-1, 0, 2
Let d(b) be the second derivative of 2 - 2/35*b**7 - 4/3*b**3 - 47/25*b**5 + 0*b**2 - 7*b - 46/75*b**6 - 37/15*b**4. Suppose d(u) = 0. What is u?
-5, -1, -2/3, 0
Find p, given that 3*p**2 - 1082*p - 332*p + 2*p**2 - 1452 - 3216*p - 3183 = 0.
-1, 927
Let p(v) be the third derivative of -v**6/660 - 2*v**5/165 + 19*v**4/132 - 14*v**3/33 - 70*v**2 - 2*v. Factor p(o).
-2*(o - 2)*(o - 1)*(o + 7)/11
Let f(k) = -140*k**3 + 1705*k**2 + 10505*k + 8790. Let n(p) = -13*p**3 + 155*p**2 + 955*p + 799. Let c(s) = -6*f(s) + 65*n(s). Suppose c(r) = 0. What is r?
-23, -7, -1
Let b(n) be the first derivative of n**5/420 - n**3/42 - n**2/2 + 38*n + 58. Let a(s) be the second derivative of b(s). Factor a(j).
(j - 1)*(j + 1)/7
Let o(d) be the third derivative of -23/24*d**4 - 1/6*d**5 - 2*d**2 - 1/120*d**6 - 7/3*d**3 - 11 + 0*d. Factor o(w).
-(w + 1)*(w + 2)*(w + 7)
Let -144/5*w**3 + 0*w - 128/5*w**2 - 1/10*w**5 + 0 - 33/10*w**4 = 0. What is w?
-16, -1, 0
Suppose -2*z = 2*a + 2, 1 = -2*a + 3*z + 4. Solve 4*s**2 + a + 6 - 70 - 24*s = 0 for s.
-2, 8
Let c(s) = 16*s - 18 - 10 + 30 + 6*s**5 - 2*s - 4*s**2 - 12*s**3 + 2*s**4. Let p(v) = v**5 + v**4 - v**3 - v**2 + v. Let q(o) = -c(o) + 8*p(o). Solve q(f) = 0.
-1, 1
Let t(w) be the first derivative of w**6/30 + w**5/2 - 13*w**4/3 + 28*w**3/3 - 23*w + 155. Let p(j) be the first derivative of t(j). Solve p(v) = 0.
-14, 0, 2
Let b(d) be the first derivative of -d**6/4 + 426*d**5/5 - 57891*d**4/8 - 61339*d**3 - 187485*d**2 - 252300*d - 563. Suppose b(x) = 0. Calculate x.
-2, 145
Let o = 3342 - 3326. Let b(d) be the second derivative of -3/10*d**5 + 0 + d**3 + o*d + 0*d**4 + 1/10*d**6 - 3/2*d**2. Factor b(u).
3*(u - 1)**3*(u + 1)
Let t(i) be the second derivative of i**7/1575 + i**6/180 - 2*i**5/225 - i**4/9 + 33*i**2/2 - 209*i. Let j(a) be the first derivative of t(a). Factor j(o).
2*o*(o - 2)*(o + 2)*(o + 5)/15
Let h be 0/(-25 - -81 - 54). Find t, given that 3/5*t**4 + h + 0*t**3 - 6/5*t - 9/5*t**2 = 0.
-1, 0, 2
Factor -3/10*p**3 + 0 + 9/5*p**2 - 1/10*p**4 + 4*p.
-p*(p - 4)*(p + 2)*(p + 5)/10
Let v(o) be the third derivative of -o**9/3024 + o**7/56 + o**6/36 - o**5/2 - 15*o**4/8 - 27*o**2. Let t(f) be the second derivative of v(f). Factor t(a).
-5*(a - 3)*(a - 1)*(a + 2)**2
Let a(g) be the third derivative of 3*g**7/175 - 28*g**6/75 - 29*g**5/50 + 49*g**4/10 - 104*g**3/15 + 2179*g**2 - 2. Find n such that a(n) = 0.
-2, 4/9, 1, 13
Let a(x) = 61*x**4 + 112*x**3 - 436*x**2 + 434*x + 12. Let l(p) = -132*p**4 - 225*p**3 + 872*p**2 - 867*p - 26. Let j(b) = 13*a(b) + 6*l(b). Factor j(r).
r*(r - 2)**2*(r + 110)
Let w(f) = 8*f**3 - 312*f**2 + 1183*f. Let x(u) = -41*u**3 + 1559*u**2 - 5916*u. Let g(l) = 16*w(l) + 3*x(l). Factor g(p).
5*p*(p - 59)*(p - 4)
Let t(m) = -3*m**2 - 43*m - 924. Let o(h) = -10*h**2 - 130*h - 2772. Let n(x) = 5*o(x) - 16*t(x). Factor n(k).
-2*(k - 33)*(k + 14)
Let s(i) = i**2 + 64*i + 1026. Let p be s(-33). Let y(l) be the first derivative of -2/7*l**4 + 1/7*l**2 + 25 - 2/7*l**p + 0*l. Factor y(f).
-2*f*(f + 1)*(4*f - 1)/7
Let x(i) be the second derivative of i**4/108 + 101*i**3/27 - 68*i**2/3 + 745*i. Factor x(q).
(q - 2)*(q + 204)/9
Suppose 5 = -5*y - 3*g - 5, -5*g = -3*y - 40. Let p(a) = -a**3 - 4*a**2 + 3*a + 8. Let n be p(y). Find m such that -5*m**4 - 18*m + n*m - 5*m**5 = 0.
-1, 0
Let d be (-1132)/4811 + ((-10458)/(-255))/6. Find q such that -9/5*q**4 + 3/5*q + d*q**3 + 6/5 - 33/5*q**2 = 0.
-1/3, 1, 2
Let a(x) be the first derivative of x**6/3 - 12*x**5/5 - 17*x**4 - 112*x**3/3 - 39*x**2 - 20*x - 119. Factor a(u).
2*(u - 10)*(u + 1)**4
Find r, given that -3*r**3 + 90*r**2 - 374689 + 7*r**3 - 4*r**5 - 48*r**4 + 373665 + 982*r**2 = 0.
-8, -1, 1, 4
Let h(g) be the third derivative of 7*g**6/24 - 6301*g**5/6 + 1182000*g**4 - 1350000*g**3 + 5*g**2 + 2*g - 25. Let h(f) = 0. What is f?
2/7, 900
Let m(f) be the third derivative of 11/70*f**5 + 4/21*f**3 + 1/245*f**7 + 0 + 19/420*f**6 + 1/4*f**4 + 0*f + 63*f**2. Determine l so that m(l) = 0.
-4, -1, -1/3
Let l(b) be the second derivative of b**7/462 - b**6/10 - 7*b**5/44 + b**4/4 + 17*b**3/33 - 3602*b. What is j in l(j) = 0?
-1, 0, 1, 34
Let q(l) be the first derivative of -7*l**3/3 + 251*l**2/6 + 4*l - 1730. Solve q(t) = 0 for t.
-1/21, 12
Let o(d) be the third derivative of -3*d**7/14 - 163*d**6/12 - 123*d**5/4 + 235*d**4/2 + 350*d**3/3 - 934*d**2. Find x, given that o(x) = 0.
-35, -2, -2/9, 1
Let n be (-26)/(-221) + ((-6839)/(-3570) - 2). Let g(u) be the first derivative of n*u**5 + 0*u**2 + 0*u**3 - 1/24*u**4 + 14 + 0*u. Factor g(z).
z**3*(z - 1)/6
Solve -8/3*p**4 + 56/3*p + 100/3*p**3 + 164/3*p**2 + 0 = 0.
-1, -1/2, 0, 14
Let t(p) = -5*p**3 + 511*p**2 - 16877*p + 1