+ x**3 - 1/12*x**4. Solve n(d) = 0.
3
Let h be ((-9)/21)/(297/(-462)). Let q(f) be the third derivative of -30*f**2 + 0*f**4 - h*f**3 + 0*f + 1/15*f**5 + 0. Let q(r) = 0. Calculate r.
-1, 1
Let w be (-27*(-1)/(-6))/(-1 - (-4)/(-8)). Determine k so that 30/7*k - 3/7*k**5 + 0 + 45/7*k**w + 69/7*k**2 + 3/7*k**4 = 0.
-2, -1, 0, 5
Determine c so that -304/7*c**2 - 384/7 - 776/7*c - 6/7*c**3 = 0.
-48, -2, -2/3
Let l(n) be the third derivative of 2*n**5/15 + n**4 - 2*n**3 - 74*n**2. Let s(j) = j**2 + 2*j - 1. Let a(q) = -l(q) + 10*s(q). Factor a(z).
2*(z - 1)**2
Let s(q) be the third derivative of q**6/15 - 19*q**5/5 + 18*q**4 - 106*q**3/3 - 1150*q**2. Factor s(l).
4*(l - 1)**2*(2*l - 53)
Find g such that 3/5*g**2 - 192/5 + 36/5*g = 0.
-16, 4
Let o(v) = 52*v**3 - 62*v**2 + 101*v + 182. Let s(k) = 19*k**3 - 21*k**2 + 33*k + 61. Let c(x) = 4*o(x) - 11*s(x). Find j, given that c(j) = 0.
-19, -1, 3
Let z(c) be the third derivative of -2/5*c**5 + 0*c - 37*c**2 - 3*c**3 + 1/40*c**6 + 13/8*c**4 + 0. Suppose z(h) = 0. What is h?
1, 6
Let x = -192 + 368. Factor 4*h**4 - 7*h**3 + 16*h**3 + x*h - 56*h**2 + 19*h**3 - 104*h**2.
4*h*(h - 2)**2*(h + 11)
Let g(z) be the third derivative of -z**6/540 - 199*z**5/45 - 39601*z**4/9 - 63044792*z**3/27 + 290*z**2. Determine w so that g(w) = 0.
-398
Suppose -26 = -2*o + 3*n, 4*n = o + n - 10. Suppose -23 - 25 = -o*k. Suppose -6/13*f**2 + 10/13*f**k + 0 - 2/13*f**4 - 18/13*f = 0. What is f?
-1, 0, 3
Let x(o) be the second derivative of o**5/12 + 83*o**4/36 + 184*o**3/9 + 32*o**2 - 1090*o. Factor x(g).
(g + 8)**2*(5*g + 3)/3
Let n(h) be the second derivative of h**6/60 - h**5/5 + 19*h**4/24 - h**3 - 5*h - 42. Factor n(x).
x*(x - 4)*(x - 3)*(x - 1)/2
Let x(i) be the third derivative of i**7/630 + 2*i**6/45 + 7*i**5/30 - i**4/4 - 9*i**2 - i. Let w(l) be the second derivative of x(l). Factor w(z).
4*(z + 1)*(z + 7)
Suppose 11*d - 21 = 8*d. Find m such that -5*m**4 + d*m + 20 - 14*m - 13*m - 15*m**2 + 20*m**3 = 0.
-1, 1, 2
Let d(w) be the second derivative of 1/6*w**3 + 0 + 19/2*w**2 - 1/20*w**5 - 13*w - 1/12*w**4. Let f(z) be the first derivative of d(z). What is t in f(t) = 0?
-1, 1/3
Suppose l - 23 + 17 = -q, -2*q = -5*l + 9. Let h(d) be the first derivative of -10*d + 5/2*d**2 + 5/3*d**q + 13. Solve h(r) = 0.
-2, 1
Suppose -31*o + 5*o + 3*o = 89*o - 336. Find t, given that 32/7*t - 4/7*t**4 + 0 - 8*t**2 + 4*t**o = 0.
0, 1, 2, 4
Let u = -1575 - -1046. Let h = 892 + u. Find g such that 3185*g**3 + 1715*g**4 + 40 + 130*g + 1890*g**2 + h*g - 33*g = 0.
-1, -2/7
Let i(u) be the first derivative of -u**6/480 + u**5/240 - 134*u**2 + 2*u - 18. Let f(j) be the second derivative of i(j). Suppose f(q) = 0. What is q?
0, 1
Solve 54 - 3/2*h**3 + 30*h - 51/2*h**2 = 0 for h.
-18, -1, 2
Let b(v) be the third derivative of -16/75*v**5 + 0*v**3 - 2/525*v**7 + 0 + 4/75*v**6 - 29*v**2 - 2*v + 0*v**4. Find u such that b(u) = 0.
0, 4
Let h be 2/(-4)*-1*-128. Let x = h - -74. Determine i so that -5*i**4 - x*i**3 - 4*i**2 + 411 + 19*i**2 + 40*i - 391 = 0.
-2, -1, 2
Let t(m) be the third derivative of -m**6/1020 - 3*m**5/170 + 7*m**4/68 - 11*m**3/51 + 24*m**2 + 6. Factor t(y).
-2*(y - 1)**2*(y + 11)/17
Let -1/2*t**5 - 527*t**3 + 2646 - 11529/2*t + 28*t**4 + 3618*t**2 = 0. Calculate t.
1, 12, 21
Let b(o) be the first derivative of -o**4/54 + 7*o**3/27 - 2*o**2/3 + 90*o + 133. Let t(h) be the first derivative of b(h). Suppose t(y) = 0. What is y?
1, 6
Let u(g) = 2*g**2 - 3*g. Let d(m) = -19*m**2 + 846*m + 4250. Let n(a) = d(a) + 7*u(a). Suppose n(z) = 0. What is z?
-5, 170
Let y be (6 + (-6 - 6) - -3) + 5. Let p(k) be the first derivative of 11 + 1/30*k**6 + 0*k**4 + 0*k**3 + 0*k - 3/25*k**5 + 0*k**y. Factor p(s).
s**4*(s - 3)/5
Let l(z) be the second derivative of -9*z**5/70 + z**4/6 + 13*z**3/21 - 11*z**2/7 - 7*z + 1. Factor l(d).
-2*(d - 1)**2*(9*d + 11)/7
Let i(c) = 17*c**2 - 1504*c + 1478. Let g(v) = -8*v**2 + 752*v - 740. Let b(q) = 9*g(q) + 4*i(q). Suppose b(n) = 0. What is n?
1, 187
Let d(r) be the first derivative of r**6/3 - 4124*r**5/5 + 4121*r**4/2 - 4120*r**3/3 + 11218. Find o, given that d(o) = 0.
0, 1, 2060
Let v(g) be the second derivative of -1/84*g**7 - 1/15*g**6 + 0*g**2 + 1/2*g**4 - 3/4*g**3 + 0 - 181*g + 1/20*g**5. Find n such that v(n) = 0.
-3, 0, 1
Let v(p) be the third derivative of 8*p**5/15 + p**4 + 2*p**3/3 - 2070*p**2. Factor v(q).
4*(2*q + 1)*(4*q + 1)
Let a(t) be the second derivative of t**5/70 + 219*t**4/7 + 143883*t**3/7 + 1402*t + 3. Factor a(s).
2*s*(s + 657)**2/7
Let g be 13/(-3)*(-26)/676*3. Factor 0*z**2 + 0*z + g*z**4 + 0 - 5/2*z**3.
z**3*(z - 5)/2
Let a(u) be the first derivative of 0*u - 1/40*u**5 + 0*u**3 + 12 + 23/2*u**2 - 1/16*u**4. Let x(y) be the second derivative of a(y). Factor x(k).
-3*k*(k + 1)/2
Let d(s) = s**2 + 666*s + 11038. Let q be d(-17). Let 8/3*u - 5/3*u**q - 49/3*u**4 - 23/3*u**2 + 0 - 25*u**3 = 0. What is u?
-8, -1, 0, 1/5
Let f(p) be the first derivative of -138 + 5/9*p**3 - 20/3*p + 5/12*p**4 - 10/3*p**2. Factor f(w).
5*(w - 2)*(w + 1)*(w + 2)/3
Suppose -129*l - 30*l = 51*l + 4*l. Factor l + 1/3*r**5 - 1/3*r**3 + 4/3*r**2 + 0*r - 4/3*r**4.
r**2*(r - 4)*(r - 1)*(r + 1)/3
Let c(g) = 7*g**2 - 2917*g - 2892. Let h(q) = -4*q**2 + 1945*q + 1929. Let d(r) = 5*c(r) + 8*h(r). Factor d(x).
3*(x + 1)*(x + 324)
Let o(u) be the third derivative of u**5/30 - 189*u**4/2 + 107163*u**3 + 734*u**2. Determine w, given that o(w) = 0.
567
Let l(s) be the third derivative of 1/3*s**5 + 213*s**2 + 0 - 50/3*s**3 + 0*s + 55/24*s**4. Factor l(o).
5*(o + 4)*(4*o - 5)
Let b(s) be the second derivative of 12/7*s**3 - 3/70*s**5 + 0*s**2 + 0 + 2/7*s**4 - 46*s. Determine q, given that b(q) = 0.
-2, 0, 6
Let m(h) be the first derivative of h**4/2 + 124*h**3 + 1245*h**2 - 2864*h + 10585. Solve m(n) = 0 for n.
-179, -8, 1
Let -2/5*m**2 - 122018/5 + 988/5*m = 0. Calculate m.
247
Let v be 15/(675/(-88)) - 5*(-108)/225. Factor -v*u**3 + 0*u - 2/9*u**4 + 0 + 0*u**2.
-2*u**3*(u + 2)/9
Let b(n) = -n**2 - 42*n + 1410. Let q be b(22). Let y(a) be the third derivative of 0 + 2*a**q + 4/21*a**3 + 3/70*a**5 + 0*a - 5/21*a**4. Factor y(s).
2*(s - 2)*(9*s - 2)/7
Factor -17960809 + 3*x**3 + 111*x**2 + 159*x**2 + 17961841 + 1044*x.
3*(x + 2)**2*(x + 86)
Let i be -9 + 1110/(-12) + 9. Let t = 93 + i. Factor 2 + 13/2*g**2 + t*g**4 - 3*g**3 - 6*g.
(g - 2)**2*(g - 1)**2/2
Suppose 0 = 2421*r - 6599*r + 12534. Determine i so that 9/5*i**3 + 23/5*i**2 + 0 + 1/5*i**4 + r*i = 0.
-5, -3, -1, 0
Suppose 0 = l + 29*l + 930. Let x = l - -35. Suppose -4/11*f**x - 2/11*f**2 + 0*f - 9/11*f**3 + 0 = 0. What is f?
-2, -1/4, 0
Suppose 0 - 1436/3*r**2 + 8/3*r**4 - 160*r - 316*r**3 = 0. What is r?
-1, -1/2, 0, 120
Factor -410*o - 13 - 26 + 41 - 19 + 52*o**2 - 31.
2*(o - 8)*(26*o + 3)
Let k(a) be the second derivative of -2*a**6/55 + 449*a**5/55 - 2971*a**4/132 + 815*a**3/33 - 148*a**2/11 - 19*a - 24. Find d such that k(d) = 0.
1/2, 2/3, 148
Let r(y) = 129*y - 5287. Let j be r(41). Suppose 4*k - 6 = -3*z + z, 3*k = 2*z - 6. Factor -400/9*u**4 - 28/3*u**j + 0 - 160/3*u**z - 4/9*u.
-4*u*(u + 1)*(10*u + 1)**2/9
Let d(t) be the second derivative of t + 0*t**2 - 63 + 1/108*t**4 - 1/54*t**3. Factor d(u).
u*(u - 1)/9
Let y(b) be the second derivative of -9*b**5/20 - 3*b**4/4 - b**3/2 - 4*b**2 + 38*b. Let s(r) be the first derivative of y(r). Let s(q) = 0. What is q?
-1/3
Factor 365*o - 8 + 81*o**4 + 345*o - 70*o**2 + 16*o**2 + 5 - 734*o.
3*(o - 1)*(3*o + 1)**3
Let z = -8550 + 42763/5. Let f(b) be the first derivative of 4*b - 1 - z*b**2 + 1/10*b**4 + 4/15*b**3. Factor f(q).
2*(q - 2)*(q - 1)*(q + 5)/5
Factor 92 + 167*r - 494 + 65*r + r**2 - 101*r.
(r - 3)*(r + 134)
Suppose -4*m = -4, -3*j - 33 = -4*m + 67. Let i = 166 + j. Factor 29*b**2 - 3*b**3 + 54 + 71*b - 5*b**2 - i*b.
-3*(b - 3)**2*(b - 2)
Let s(b) = 8*b**2 + 96*b - 782. Let f(g) = 23*g**2 + 287*g - 2337. Let h(j) = 6*f(j) - 17*s(j). Factor h(i).
2*(i - 7)*(i + 52)
Let l = 1795 + -1872. Let n = -377/5 - l. Factor 7/5 + 1/5*s**2 - n*s.
(s - 7)*(s - 1)/5
Let l(u) be the first derivative of -1/35*u**5 + 2/7*u**3 + 0*u**4 + 38 - 2*u + 4/7*u**2. Let f(k) be the first derivative of l(k). Let f(g) = 0. What is g?
-1, 2
Let t = 698 + 159. Let f = t - 2557/3. What is k in 8/3*k**5 + 0 + 4/3*k**3 + f*k**4 + 0*k - 2/3*k