0*d**2 + 9/40*d**5 + 15*d. Factor p(v).
-v**3*(v - 9)/2
Let f = -40696/7241 - -3816/557. Let -f*k**3 - 12/13*k - 2/13*k**4 + 0 - 2*k**2 = 0. What is k?
-6, -1, 0
Let a(f) be the first derivative of -f**4/3 + 100*f**3/9 - 82*f**2 + 228*f + 2185. Factor a(t).
-4*(t - 19)*(t - 3)**2/3
Let c(y) be the second derivative of 9*y**7/56 - 197*y**6/20 + 4173*y**5/20 - 3407*y**4/2 + 5040*y**3 + 3888*y**2 - y + 34. Solve c(a) = 0.
-2/9, 4, 18
Let w be -3 + 7917/231 - 30. Factor 16/11*i - 32/11 + w*i**2 + 2/11*i**3.
2*(i - 1)*(i + 4)**2/11
Let b = 486861 - 2433793/5. Solve 448/5*w + b - 62/5*w**2 + 2/5*w**3 = 0.
-1, 16
Let q(s) = 46*s**3 + 79*s**2 + 39*s + 55. Let m(b) = -11*b**3 - 19*b**2 - 10*b - 14. Let r(u) = 25*m(u) + 6*q(u). Determine n so that r(n) = 0.
-2, 5
Let b(q) be the second derivative of -q**7/2520 - q**6/720 - q**4/12 - 143*q**3/6 - q + 7. Let t(j) be the third derivative of b(j). Factor t(a).
-a*(a + 1)
Suppose 16/3*l**2 - 2/3*l**3 + 52 + 118/3*l = 0. What is l?
-3, -2, 13
Factor -168*r + 299*r + r**2 - 175*r + r**2 + 210.
2*(r - 15)*(r - 7)
Let x be ((-18)/21)/((-36)/(-21) - 2). Let m(t) be the first derivative of -12/7*t**2 + 12/7*t - x + 3/7*t**3. Factor m(u).
3*(u - 2)*(3*u - 2)/7
Let r(b) be the third derivative of b**7/840 - 7*b**6/240 + 3*b**5/20 + 67*b**4/24 + 53*b**2. Let i(d) be the second derivative of r(d). Factor i(z).
3*(z - 6)*(z - 1)
Suppose -10*k - 1104 = -1124. Let d = 43/51 + -3/17. Let d*q**3 - 2/3*q**k - 2/3*q + 2/3 = 0. What is q?
-1, 1
Let p(n) = 11*n - 52. Let d be p(5). Factor 5*v**2 + d*v**2 + 3*v - 10*v**2 - 15*v.
-2*v*(v + 6)
Suppose 31*o - 10*o = 63. Factor -8*i**2 + 8*i**2 + 3*i**4 - 15*i + 15*i**3 - o*i**2.
3*i*(i - 1)*(i + 1)*(i + 5)
Let k(y) be the third derivative of -1/300*y**6 + 58*y**2 - 1/100*y**5 + 1/1050*y**7 + 1/30*y**4 + 0 + 0*y + 2/15*y**3. Factor k(t).
(t - 2)**2*(t + 1)**2/5
Let o = -1/64 - -131/192. Suppose h + 3 = 0, -32*h + 36*h = k - 14. Factor 0 + o*v**k - 2/3*v.
2*v*(v - 1)/3
Let n(v) = -v**3 - 23*v**2 - 19*v + 68. Let s be 12/(-21)*(-770)/(-60)*3. Let p be n(s). Factor 3*d**p - 6/5*d - 9/5.
3*(d - 1)*(5*d + 3)/5
Factor 80/13*k + 0 + 2/13*k**2.
2*k*(k + 40)/13
Find m such that -513*m + 4*m**2 - 225*m + 1368 + 46*m = 0.
2, 171
Let p(k) be the first derivative of 27/8*k**2 + 1/4*k**3 - 33/2*k - 27. Factor p(j).
3*(j - 2)*(j + 11)/4
Find u, given that -2*u**2 + 1441 - 434 - 729 + 276*u = 0.
-1, 139
Let j = -4 + 9. Let i be (-1)/(78/12 - 7). Suppose j*k**i + 3 + 20*k + 15 - 3 = 0. What is k?
-3, -1
Let i = 12625 - 12610. Let n(k) be the second derivative of -1/4*k**3 - 1/16*k**4 - i*k + 0*k**2 + 0. What is u in n(u) = 0?
-2, 0
Let t(a) be the second derivative of -3/2*a**2 - 1/6*a**3 + 1/4*a**4 + 1/20*a**5 + 3*a - 7. Factor t(o).
(o - 1)*(o + 1)*(o + 3)
Let -27*k**3 - 10*k**4 - 7*k**5 - 7443*k**2 - 14*k**4 + 7433*k**2 = 0. Calculate k.
-10/7, -1, 0
Find y such that 1250/3*y + 50/3*y**2 + 31250/9 + 2/9*y**3 = 0.
-25
Let j(z) be the third derivative of z**6/280 + 67*z**5/140 + 145*z**4/8 - 525*z**3/2 - 4*z**2 - 426. Suppose j(s) = 0. Calculate s.
-35, 3
Let l = -126316 + 126318. Factor 56/3 - 1/3*c**l - 55/3*c.
-(c - 1)*(c + 56)/3
Let n = 21 - 19. Factor 26*k**2 - 3*k - 24*k**2 + 3*k - n.
2*(k - 1)*(k + 1)
Suppose -2*f - 50*f = 87*f - 4*f - 405. Solve -23/8*w + w**f + 5/4 + 5/4*w**2 - 1/8*w**5 - 1/2*w**4 = 0.
-5, -2, 1
Let x(m) be the third derivative of -17/12*m**4 + 4/15*m**5 + m + 10/3*m**3 - 1/60*m**6 + 0 + 22*m**2. Factor x(i).
-2*(i - 5)*(i - 2)*(i - 1)
Let w(r) be the third derivative of 0*r + 33/350*r**7 + 6/5*r**3 + 36*r**2 - 4/5*r**4 - 9/20*r**5 + 1/80*r**8 + 0 + 1/8*r**6. Let w(v) = 0. Calculate v.
-3, -2, -1, 2/7, 1
Factor 57*n**2 - 6*n**4 + 8*n**2 + 35*n**3 + 36 - 126 - 2206*n + 11*n**4 + 2191*n.
5*(n - 1)*(n + 2)*(n + 3)**2
Factor 401*u - 776*u - 528*u - 274 - 587*u - 1312 + 98*u**2 + 2*u**3.
2*(u - 13)*(u + 1)*(u + 61)
Let u be (299/(-46))/((-12)/(-8))*(-4)/(112/12). Factor -6/7 + 1/7*t**3 + u*t - 8/7*t**2.
(t - 6)*(t - 1)**2/7
Let q = -304654 + 304656. Factor -84*z + 1176 + 3/2*z**q.
3*(z - 28)**2/2
Let h = -266 + 231. Let i be (52/40 - (-28)/h)*6. Find l such that -4 + 5/2*l**i + 15*l - 27/2*l**2 = 0.
2/5, 1, 4
Let c be (-458)/(-1832) - (-35)/(-300). Factor -c*s**2 + 8/15*s - 2/5.
-2*(s - 3)*(s - 1)/15
Suppose -w - 9*q + 11*q - 6 = 0, -2 = -3*w + 2*q. Factor -6 + 5*m - 8*m + m**2 - m + w*m - m.
(m - 3)*(m + 2)
Suppose -176 = -2*z + 3*a + 7, 3*z - 3*a - 267 = 0. Let q = z + -77. Factor -v**4 + 4 + 2 - 2*v - q + 2 + 2*v**3.
-(v - 1)**3*(v + 1)
Let x(w) be the first derivative of w**9/756 - w**8/420 - w**7/42 - w**6/30 + 31*w**3/3 - 115. Let h(i) be the third derivative of x(i). Factor h(z).
4*z**2*(z - 3)*(z + 1)**2
Let l be (((-480)/35)/16)/(-2). Let z(y) be the second derivative of 0 + 1/70*y**5 + l*y**3 + 1/7*y**4 - 23*y + 0*y**2. Let z(r) = 0. What is r?
-3, 0
Let a be (3 + (-52)/16)*(-498 - -412). Solve 3/2*z**4 - 13 - a*z**3 + 51/2*z**2 + 15/2*z = 0 for z.
-2/3, 1, 13
Let z(u) be the second derivative of -u**6/1080 + u**5/120 + 107*u**3/6 + 11*u. Let w(j) be the second derivative of z(j). Let w(q) = 0. What is q?
0, 3
Suppose 2*p = 12 - 2. Let i(v) = 12*v**2 + 16*v - 1. Let h(n) = -12*n**2 - 16*n. Let c = -30 + 34. Let f(m) = c*i(m) + p*h(m). Factor f(s).
-4*(s + 1)*(3*s + 1)
Let c(u) be the second derivative of -11*u**6/21 + 12*u**5/5 - 29*u**4/7 + 64*u**3/21 - 3*u**2/7 + 104*u + 2. Factor c(b).
-2*(b - 1)**3*(55*b - 3)/7
Let c be 0 - ((-390)/(-156))/((-5)/6*-3)*-2. Let 0*b - 4*b**c - 4/7*b**5 + 4/7*b**3 + 16/7 + 12/7*b**4 = 0. What is b?
-1, 1, 2
Let f(r) = -4*r**2 - 13*r + 86. Let x(k) = -3*k**2 - 14*k + 83. Let b(m) = 2*f(m) - 3*x(m). Let o be b(-20). Factor 4/9*h**2 + 0 - 4/9*h**o + 8/9*h.
-4*h*(h - 2)*(h + 1)/9
Suppose 20*b - 13*b = 154. Factor -18 - 4*p**3 - b*p**2 + 6*p**2 + 10 - 20*p.
-4*(p + 1)**2*(p + 2)
Let u = -7487 - -7490. Let l(h) be the second derivative of -1/27*h**6 + 3/10*h**5 + 0 - 2/3*h**2 + 29/27*h**u - 6*h - 5/6*h**4. Determine i so that l(i) = 0.
2/5, 1, 3
Suppose 39*z - 13*z = -79*z. Let d(k) be the first derivative of 17 + 1/18*k**4 - 4/9*k - 1/3*k**2 + z*k**3. Find l such that d(l) = 0.
-1, 2
Let l(k) be the third derivative of k**5/30 + 5*k**4/3 - 341*k**3/3 - 130*k**2 + k - 2. Determine i, given that l(i) = 0.
-31, 11
Let i be 3*(11 + (-65)/(-45)*-3 - 6). Find x such that 0 - 3/2*x**3 - 27*x - 57/2*x**i = 0.
-18, -1, 0
Let c be (-40)/(-304)*((-4)/5 + 2). Let u = 192/133 - c. Suppose -u*h**4 - 11/7*h**3 + 0 - 2/7*h**2 + 0*h = 0. What is h?
-1, -2/9, 0
Let q(k) be the first derivative of 56 + 7/4*k**2 + 1/6*k**3 + 6*k. Factor q(p).
(p + 3)*(p + 4)/2
Let d = 4 - 2. Let m = 3554/403 + -587/1209. What is r in -10/3*r + m + 1/3*r**d = 0?
5
Let d be (-3)/((9/(-105))/(-1)). Let m = -34 - d. Suppose -m - 4*k**3 - 8*k**2 + k + 9*k**2 + 3*k = 0. What is k?
-1, 1/4, 1
Let w be ((-22)/(-858)*559 + -13)/((-6)/(-9)). Find j, given that 117/5*j**w + 24/5*j**3 + 18/5 - 159/5*j = 0.
-6, 1/8, 1
Let o(g) be the second derivative of -g**6/30 + 3*g**5/10 - 13*g**4/12 + 2*g**3 - 2*g**2 + 88*g + 3. Factor o(u).
-(u - 2)**2*(u - 1)**2
Let q be -2*1 + (-2 - -2) + 12. Factor -210*p**2 - 4 + 39*p + 0 + q.
-3*(7*p - 2)*(10*p + 1)
Let u(c) = -5*c + 82. Let b be u(16). Factor -4*x**b - 32 - 92*x - 67 + 0 + 11.
-4*(x + 1)*(x + 22)
Factor -1/4*z**2 - 685/4*z - 171.
-(z + 1)*(z + 684)/4
Let x(t) be the first derivative of -t**5/20 + 3*t**4/16 - t**2/2 - 1667. Find f such that x(f) = 0.
-1, 0, 2
Let d = -153 - -274. Factor 237*o**2 - d*o**2 - 120*o**2 + 16.
-4*(o - 2)*(o + 2)
Let m(t) = -t**3 - 5*t**2 + 6*t + 2. Let j be m(-6). Factor -114*d**j - 6 - 17*d - 8 - 35*d + 6 - 25*d**4 - 95*d**3.
-(d + 1)*(d + 2)*(5*d + 2)**2
Let k(j) be the first derivative of -15 + 5/8*j**4 + 1/32*j**6 + 0*j**3 + 4*j**2 + 0*j + 5/12*j**5. Let p(v) be the second derivative of k(v). Factor p(s).
5*s*(s + 6)*(3*s + 2)/4
Let u(r) be the second derivative of 2*r**6/15 - 54*r**5/5 + 781*r**4/3 - 936*r**3 + 1352*r**2 - 2*r - 5902. Factor u(z).
4*(z - 26)**2*(z - 1)**2
Let 63872*z**2 - 62557*z**2 - 1802 + 1325*z + 5*z**4 - 1325*z**3 + 482 = 0. Calculate z.
-1, 1, 264
Let g(z) be the second derivative of 7*z**5/30 - 19*z**4/9 - 3*z**3 + 6*z**2 - 1487*z + 1. Factor g(k).
2*(k - 6)*(k + 1)*(7*k - 3)/3
Solv