3 + 1/96*q**4 + 1/48*q**5 + 0*q + 56*q**2 + 0 + 1/160*q**6. Factor n(t).
(t + 1)**2*(3*t - 1)/4
Let j(o) be the third derivative of 5*o**6/24 - 349*o**5/6 - 1975*o**4/3 - 960*o**3 + 3543*o**2. Solve j(f) = 0 for f.
-4, -2/5, 144
Let v(n) be the first derivative of 4*n**5/35 + 11*n**4/7 - 52*n**3/21 - 22*n**2/7 + 48*n/7 + 449. What is s in v(s) = 0?
-12, -1, 1
Let q = -42884 + 85771/2. Factor -1/2*d**5 + 0*d**3 + 0*d - q*d**4 + 0 + 0*d**2.
-d**4*(d + 3)/2
Let u = -19981/999 + 751/37. Let h(i) be the third derivative of 0*i - 1/540*i**6 - 1/9*i**4 - u*i**3 + 0 - 1/45*i**5 + 12*i**2. Find z, given that h(z) = 0.
-2
Let i = -232 + 409. What is a in -1855*a**3 + i*a**2 - 35*a**5 + 377*a**2 + 500*a**4 - 64*a**2 - 2 + 2 = 0?
0, 2/7, 7
Let a be (-60)/(-4) + 231/(-21). Let r = -72 - -220/3. Solve -4*v - r*v**4 + 8/3 - 4/3*v**2 + a*v**3 = 0 for v.
-1, 1, 2
Factor 0 + 0*q + 8*q**2 + 2/11*q**5 - 80/11*q**3 + 14/11*q**4.
2*q**2*(q - 2)**2*(q + 11)/11
Let f(a) be the third derivative of a**6/40 - 51*a**5/20 + 675*a**4/8 - 625*a**3/2 - 5*a**2 - 163*a. Suppose f(d) = 0. Calculate d.
1, 25
Let r(g) be the third derivative of -3/25*g**5 + 1/5*g**4 + 32/15*g**3 + 0 + 0*g + 1/150*g**6 - 212*g**2. Determine n so that r(n) = 0.
-1, 2, 8
Let i(u) be the second derivative of -u**5/50 - 7*u**4/30 + 73*u**3/15 - 13*u**2 - 2*u + 1972. What is j in i(j) = 0?
-13, 1, 5
Let c(b) = -b**2 - 16*b + 85. Let g be c(-21). Let n(i) = -i**3 - 19*i**2 - 60. Let m be n(g). Factor -m*u**2 + 150*u**3 - 16/3 + 248/3*u.
2*(u - 2)*(15*u - 2)**2/3
Suppose -1 = 3*t + 5*g, g = -3*t + 2*t + 1. What is p in -27 + 18 - 7*p**t + 22*p + 17 - 23*p**2 = 0?
-4, -2/7, 1
Let m(a) = 60*a + 458. Let g be m(0). Let s = -3202/7 + g. Solve 0 + s*f**2 + 0*f + 6/7*f**3 + 2/7*f**4 = 0.
-2, -1, 0
Let c(x) be the first derivative of -1/6*x**6 + 0*x + 89 + x**4 - 8/3*x**3 + 0*x**2 + 2/5*x**5. Solve c(p) = 0 for p.
-2, 0, 2
Let n be (-12)/(3/7 - (-65)/(-70)). Let m be (2/(-6))/(6/(-36)). Factor -5*j**3 - 10985 - 2535*j - n*j**2 - 26*j**m - 38*j**2 - 107*j**2.
-5*(j + 13)**3
Suppose -206 - 905 = -11*o. Let d = o - 93. Factor 3*a + 14*a**2 - 13*a**2 + 0 + d - 9*a.
(a - 4)*(a - 2)
Let p(z) = -z**3 - 23*z**2 + 28*z + 14. Let q be p(-25). Let r = -3932/7 + q. Determine o so that 32/7*o**3 + 8/7 + 44/7*o - r*o**4 - 12/7*o**5 + 72/7*o**2 = 0.
-1, -1/3, 2
Suppose g + 55*q - 9 = 54*q, -4*g + 5*q - 27 = 0. Factor -25/4*m**3 + 0 + 5/4*m**5 - 15/4*m**g - 5/4*m**4 + 0*m.
5*m**2*(m - 3)*(m + 1)**2/4
Determine h so that -22/7 - 7*h**2 + 15/7*h**3 + 57/7*h - 1/7*h**4 = 0.
1, 2, 11
Suppose 0 = 29*n - 26*n + 6. Let k(o) = -5*o**2 - 105*o + 115. Let b(q) = -3*q**2 - 53*q + 58. Let d(r) = n*k(r) + 5*b(r). Factor d(a).
-5*(a - 1)*(a + 12)
What is v in 0 + 0*v**4 + 0*v**2 - 200/9*v**3 + 0*v + 2/9*v**5 = 0?
-10, 0, 10
Let n(q) be the first derivative of 5*q**6/3 - 38*q**5/15 - 5*q**4/2 + 46*q**3/9 - 8*q/3 - 197. What is t in n(t) = 0?
-1, -2/5, 2/3, 1
Let i(d) be the first derivative of d**7/168 + 17*d**6/36 - d**5/24 - 85*d**4/12 - 107*d**3/3 + 178. Let u(z) be the third derivative of i(z). Factor u(j).
5*(j - 1)*(j + 1)*(j + 34)
Let z(b) be the third derivative of 0*b**3 + 0*b**4 - 1/30*b**6 + b**2 + 0 - 2/5*b**5 + 2/105*b**7 + 4*b. Find o, given that z(o) = 0.
-2, 0, 3
Let i(c) be the third derivative of 90*c**2 - 1/144*c**6 + 0*c**4 + 0 - 5/9*c**3 + 0*c + 1/24*c**5. Find b, given that i(b) = 0.
-1, 2
Let h(x) be the third derivative of 11/315*x**7 + 0 - 1/252*x**8 + 2/45*x**5 + 0*x**3 + 0*x + 2/9*x**4 + 109*x**2 - 1/10*x**6. Factor h(y).
-2*y*(y - 2)**3*(2*y + 1)/3
Let f(r) = -9*r**2 + 57*r - 29*r - 100 + 12*r. Let q(d) = -4*d**2 + 20*d - 50. Let u(b) = 4*f(b) - 10*q(b). Factor u(p).
4*(p - 5)**2
Suppose 0 = 88*y - 382*y. Factor -3/5*b**2 - 4/5*b**3 - 1/5*b**4 + y*b + 0.
-b**2*(b + 1)*(b + 3)/5
Let n(r) = r + 6. Let d be n(-2). Let g = -4 + 7. Factor u**3 - 31*u**4 - 6*u**g + 21*u**d.
-5*u**3*(2*u + 1)
Let h = 699/619 - 3815/5571. Factor -8/9 + h*z + 4/9*z**2.
4*(z - 1)*(z + 2)/9
Let y = -31 - -43. Suppose y - 6 = o. Factor -3*w**2 + 6*w + 1 + 2 - o.
-3*(w - 1)**2
Let b be (-1 - 1)*(-33)/22. Suppose b*h - 7 = i, 3*h - 4 = 4*i - 3. Suppose -1/3*v**i - 4/3 - 4/3*v = 0. Calculate v.
-2
Suppose -417/7 + 416/7*s + 1/7*s**2 = 0. Calculate s.
-417, 1
Let o(d) be the first derivative of d**6/2 - 93*d**5 - 117*d**4 + 4208. Factor o(w).
3*w**3*(w - 156)*(w + 1)
Let k = -1861081 + 3722165/2. Let k*c**2 + 21/8*c + 9/8 = 0. What is c?
-1, -3/4
Let q(b) be the first derivative of b**5/25 - 201*b**4/5 + 71824*b**3/5 - 9624416*b**2/5 + 113. Factor q(k).
k*(k - 268)**3/5
Suppose -2*x + 14 + 152 = 0. Let l = 86 - x. Suppose 10 + 10*k**3 - 4*k**2 - 2*k**5 - 4*k - k + 10*k**4 - 16*k**2 - l*k**5 = 0. What is k?
-1, 1, 2
Let h(n) = -27*n - 346. Let i be h(8). Let t = i + 566. Suppose 30/7*x**3 + 0 - 8/7*x**t - 8/7*x - 24/7*x**2 = 0. Calculate x.
-1/4, 0, 2
Solve -5184/13 - 148/13*t**2 - 2880/13*t - 2/13*t**3 = 0.
-36, -2
Suppose -1744*d - 32 = -1752*d. Factor -3/5 - 3/5*t**d - 3/5*t + 6/5*t**3 - 3/5*t**5 + 6/5*t**2.
-3*(t - 1)**2*(t + 1)**3/5
Let k(r) = 3*r**3 + 3*r**2 - 7*r - 1. Let d be (-4)/20 + 117/(-15) + 3. Let z(w) = 2*w**3 + w**2 + w - 1. Let q(h) = d*z(h) + 5*k(h). Let q(c) = 0. Calculate c.
-4, 0, 2
Let u(p) be the second derivative of 2/5*p**2 - 7 + 1/30*p**4 + 3*p - 1/5*p**3. Factor u(s).
2*(s - 2)*(s - 1)/5
Let v be (40/(-8) + 4 - 30/(-5))/1. What is j in 21/4 - 1/4*j**2 - v*j = 0?
-21, 1
Let l = -5096 + 2226956/437. Let x = l - -1283/3059. Factor 0*k + 0 - x*k**2 - 3/7*k**3.
-3*k**2*(k + 1)/7
Let t(v) be the third derivative of 0*v + 0*v**3 + 0 - 42*v**2 + 5/9*v**4 + 7/45*v**5 + 1/90*v**6. Factor t(n).
4*n*(n + 2)*(n + 5)/3
Let i(m) be the first derivative of m**4 - 96*m**3 - 294*m**2 - 296*m - 1571. Factor i(j).
4*(j - 74)*(j + 1)**2
Let u(o) = -o**2 - 12*o + 5. Let h(m) be the first derivative of m**3/3 + 3*m**2 - 3*m + 70. Let c(y) = 5*h(y) + 3*u(y). Solve c(k) = 0 for k.
0, 3
Let o = -2912 - -2925. Let z(g) be the third derivative of -o*g**2 + 1/168*g**4 + 0 + 1/420*g**5 + 0*g - 1/7*g**3. Factor z(a).
(a - 2)*(a + 3)/7
Let m(l) = -2*l**3 + 3*l**2 - 8*l - 31. Let p be m(-2). Suppose -p*r - 1 = -27. Find i such that 16/7 + 12/7*i + 2/7*i**r = 0.
-4, -2
Let i(s) = 47*s**3 - 81*s**2 - 180*s - 14. Let v(x) = -16*x**3 + 28*x**2 + 60*x + 4. Let d(b) = -2*i(b) - 7*v(b). Factor d(t).
2*t*(t - 3)*(9*t + 10)
Let n(i) be the first derivative of 1/6*i**3 + 10*i - 1/2*i**2 - 1/48*i**4 + 20. Let a(k) be the first derivative of n(k). Determine z, given that a(z) = 0.
2
Let v(m) be the first derivative of 7*m**6/30 + 2*m**5/25 - 49*m**4/20 + 28*m**3/15 + 6*m**2/5 + 5491. What is u in v(u) = 0?
-3, -2/7, 0, 1, 2
Let o(z) be the third derivative of 275684*z**6/15 + 6724*z**5/5 + 41*z**4 + 2*z**3/3 + z**2 + 1801*z. Factor o(l).
4*(82*l + 1)**3
Let k(b) be the first derivative of -2*b**5/35 - 36*b**4/7 - 2732*b**3/21 - 360*b**2 - 350*b + 3454. Suppose k(q) = 0. Calculate q.
-35, -1
Suppose 0 = -3*n + 17*n - 210. Suppose -3*s = -n*i + 12*i - 18, 0 = -4*s + i + 18. Factor -63/2*v**2 - 27/2*v**s + 9/2*v + 3 + 75/2*v**3.
-3*(v - 1)**3*(9*v + 2)/2
Factor 2/9*c**3 + 22/3 + 94/9*c + 10/3*c**2.
2*(c + 1)*(c + 3)*(c + 11)/9
Let g(v) be the first derivative of 32*v**5/5 + 20*v**4 - 62*v**3/3 - 22*v**2 - 6*v - 2174. Factor g(w).
2*(w - 1)*(w + 3)*(4*w + 1)**2
Let w(j) be the second derivative of 11/6*j**4 + 23/6*j**3 + 1/2*j**2 + 1 + 4*j. What is o in w(o) = 0?
-1, -1/22
Let t be -100*((-4)/6)/(184/69). Solve 97*j - 215*j**3 + 420*j**2 - 234*j + t*j**4 - 43*j = 0.
0, 3/5, 2, 6
Let n(g) be the second derivative of 3/55*g**5 + 1/33*g**3 + 0 - 2/33*g**4 - 4/165*g**6 + 0*g**2 - 59*g + 1/231*g**7. What is s in n(s) = 0?
0, 1
Suppose 0 = -9*o + 12237 + 2163. Let k = -1598 + o. Factor 16*r - 8/5 - 102/5*r**k.
-2*(3*r - 2)*(17*r - 2)/5
Let m be -38*(-102)/(-136) + 39. Factor -3*u + 6*u**3 + 0 + m*u**2.
3*u*(u + 2)*(4*u - 1)/2
Let c be 33/((-2178)/282) + 5. Let -c*z**2 - 8/11*z + 0 - 2/11*z**3 = 0. Calculate z.
-2, 0
Determine x so that -603/8*x + 3/8*x**3 + 303/8 + 297/8*x**2 = 0.
-101, 1
Let o = 36411/2 + -18203. Let y(n) be the second derivative of -9*n**2 - o*n**3 + 1/2*n**4 - 37*n + 0 + 3/20*n**5. Factor y(u).
3*(u - 2)*(u + 1)*(u + 3)
Let x = 47/2970 - -4361/5940.