ive of -f**7/525 + 11*f**6/150 - 41*f**5/150 + f**4/3 - 1584*f**2 + 1. Factor v(n).
-2*n*(n - 20)*(n - 1)**2/5
Let i be 135/126*(-10 - (-856)/80). What is s in -1875/4 - i*s**2 + 75/2*s = 0?
25
Factor -222/5*i**3 + 0 - 2/5*i**5 + 0*i**2 + 16*i**4 + 0*i.
-2*i**3*(i - 37)*(i - 3)/5
Let x(r) be the second derivative of -1/150*r**5 + 41/15*r**2 + 67 + 13/30*r**4 + 9/5*r**3 + r. Determine j so that x(j) = 0.
-1, 41
Suppose 15*z - 863*z + 280 - 276*z**2 + 14*z**3 - 258*z**2 + 68*z**2 = 0. What is z?
-2, 2/7, 35
Let t = 720615 - 720613. Factor 216/13*j + 5832/13 + 2/13*j**t.
2*(j + 54)**2/13
Let f = 15 - 15. Suppose 0 = -2*d + 3*d + i - 8, -5*d + i + 16 = f. Solve -6*z**2 + 9*z**2 - 5 - 2*z**2 + d*z = 0.
-5, 1
Let a be (-44)/(-110)*153/34. Let s(w) be the second derivative of -1/10*w**3 - a*w**2 - 18*w + 1/20*w**4 + 0. Factor s(y).
3*(y - 3)*(y + 2)/5
Let a(f) be the second derivative of -5*f**7/42 - 7*f**6/3 + 17*f**5 - 30*f**4 - 184*f. Factor a(s).
-5*s**2*(s - 2)**2*(s + 18)
Let t = -13 - -25. Suppose 3*y - 3*f - 1 = 5, 0 = 2*y + 5*f - 4. What is s in -4/3*s**y - t + 8*s = 0?
3
Let v(i) be the third derivative of -i**5/40 - 895*i**4/8 + 1166*i**2 + 5*i. Solve v(n) = 0.
-1790, 0
Let p = -13/132 + 2/11. Let u(v) be the third derivative of -p*v**5 - 5/24*v**4 + 0*v + 0 + 0*v**3 - 15*v**2. Determine q so that u(q) = 0.
-1, 0
Let m(f) be the first derivative of 1/4*f**4 - 148 - 1/2*f**2 + 0*f**3 + 0*f. Determine l, given that m(l) = 0.
-1, 0, 1
Let b(j) = -2*j**2 + 14*j + 18. Let a(z) = 2*z**2 - 14*z - 19. Let y be (4 + -3)/(2/4). Let q(w) = y*a(w) + 3*b(w). Factor q(r).
-2*(r - 8)*(r + 1)
Determine h, given that 0*h**2 + 328 - 2150*h - 2269 - 214 + 5*h**2 = 0.
-1, 431
Let l(h) = 17*h**4 - 52*h**3 - 501*h**2 + 544*h + 7000. Let w(b) = 100*b**4 - 310*b**3 - 3005*b**2 + 3265*b + 42000. Let q(a) = -35*l(a) + 6*w(a). Factor q(u).
5*(u - 14)*(u - 4)*(u + 5)**2
Factor 1/8*v**2 + 5/2*v + 91/8.
(v + 7)*(v + 13)/8
Let d(p) = -3*p**2 - 51*p - 144. Let j(s) = 2*s**2 + 56 - 48*s - 7*s**2 - 201 + 2*s**2. Let v(o) = -2*d(o) + 3*j(o). Solve v(b) = 0 for b.
-7
Let z(q) be the second derivative of -1 - 3/10*q**4 + 0*q**2 + 12*q + 2/5*q**3 + 3/50*q**5. Factor z(d).
6*d*(d - 2)*(d - 1)/5
Suppose -59*f - 58*f + 810 = 84*f + 204*f. Suppose -10/3*i**f - 23/3*i + 1/3*i**3 - 4 = 0. Calculate i.
-1, 12
Factor 3/2*p**2 - 123/2*p - 588.
3*(p - 49)*(p + 8)/2
Let l(i) be the second derivative of i**5/60 + 59*i**4/36 - 1745*i. What is q in l(q) = 0?
-59, 0
Let a be 2*39/30 + (-40 - (-1624)/40). Factor -a*w + 1/5*w**2 + 64/5.
(w - 8)**2/5
Factor 1/5*z**2 - 131/5*z + 26.
(z - 130)*(z - 1)/5
Let x(j) be the first derivative of -8*j**5/5 - 41*j**4/2 + 274*j**3/3 - 321*j**2/4 - 117*j/2 - 1249. Let x(p) = 0. Calculate p.
-13, -1/4, 3/2
Let n(q) be the third derivative of q**7/945 - 7*q**6/270 + 2*q**5/135 + 23*q**4/6 - 15*q**3 - 38*q**2 + 25*q. Factor n(o).
2*(o - 9)**2*(o - 1)*(o + 5)/9
Let c(z) be the first derivative of -z**6/1620 + z**5/90 - 2*z**4/27 + 18*z**3 + 61. Let w(m) be the third derivative of c(m). Suppose w(y) = 0. What is y?
2, 4
Suppose -182 = 1045*t - 1200*t + 438. Determine b, given that 1/4*b**5 + 0*b + 0 + 1/4*b**2 - 1/4*b**3 - 1/4*b**t = 0.
-1, 0, 1
Let y = 12529/60 + -835/4. Let u(f) be the second derivative of 0 + 0*f**2 + 8*f - y*f**3 - 1/30*f**4. Find m, given that u(m) = 0.
-1, 0
Factor 2/17*v**2 + 6 - 40/17*v.
2*(v - 17)*(v - 3)/17
Find p, given that 526*p**3 + 940*p - 26*p**5 - 134*p**4 + 579*p**2 + 775*p**2 + 112 + 108*p**2 = 0.
-7, -1, -2/13, 4
Let -9/5 + 4/5*q**3 - 8*q**2 + 37/5*q = 0. What is q?
1/2, 9
Suppose -7 = 9*t + 11. Let w be (t - -11) + (-365)/45. Factor -2/9*d**3 - 4/9*d**2 + 14/9*d - w.
-2*(d - 1)**2*(d + 4)/9
Let x(f) be the first derivative of -32*f**6/3 - 2048*f**5/15 + 629*f**4/9 + 1444*f**3/9 - 640*f**2/9 - 176*f/3 + 6056. Determine p so that x(p) = 0.
-11, -3/4, -1/4, 2/3
Suppose -4*o + 89 = 65, -4*q + 2*o + 20 = 0. Determine p, given that 115/3*p**4 + 11*p**5 + 4/3 + 33*p**3 - 11/3*p**2 - q*p = 0.
-2, -1, 2/11, 1/3
Let l = -108356/11 + 108360/11. Determine v so that 4/11*v**2 + 14/11*v**5 + 0 - l*v**4 + 0*v - 14/11*v**3 = 0.
-1, 0, 2/7, 1
Let o(u) = 5*u + 113. Let b be o(-22). Find r, given that -3*r - b*r + 0*r - 5*r - 3*r**2 - 8 - 14*r = 0.
-8, -1/3
Let p(t) be the third derivative of t**8/3528 + 2*t**7/315 + 13*t**6/252 + 10*t**5/63 - 5*t**2 - 8*t. Factor p(b).
2*b**2*(b + 4)*(b + 5)**2/21
Let h = -1911 + 1907. Let c be (h/(-9))/(10*(-3)/(-60)). Find n such that c*n + 32/9 - 4/9*n**2 = 0.
-2, 4
Let u(s) be the second derivative of 2*s**6/15 - 9*s**5 - s**4/3 + 30*s**3 - 10*s - 11. Find f, given that u(f) = 0.
-1, 0, 1, 45
Let b(v) be the third derivative of 11*v**7/840 - 3*v**6/80 - 23*v**5/240 + 5*v**4/16 - 3828*v**2. Solve b(p) = 0 for p.
-15/11, 0, 1, 2
Let p(b) = -4*b - 88. Let o be p(-21). Let s = 6 + o. Factor -5*i**3 + 116*i**2 + 15*i - 10 - 116*i**s.
-5*(i - 1)**2*(i + 2)
Factor -34*c**2 + c**2 + 975*c + 36*c**2.
3*c*(c + 325)
Let m(v) be the second derivative of 13*v**5/70 + 167*v**4/42 - 416*v**3/21 + 60*v**2/7 - 2176*v. Suppose m(k) = 0. Calculate k.
-15, 2/13, 2
Let h = 7022033/13844 + 84/3461. Let k = -507 + h. Determine u, given that k*u**5 - 1/2*u**3 + 1/4*u + 0*u**4 + 0 + 0*u**2 = 0.
-1, 0, 1
Suppose y - 2*a + 41 - 76 = 0, -3*y + 5*a + 89 = 0. What is p in 82/7*p**2 - 78/7*p**y + 0 + 22/7*p**4 - 4*p + 2/7*p**5 = 0?
-14, 0, 1
Let k(d) = -35*d**4 - 730*d**3 + 1665*d**2 - 880*d - 20. Let f(v) = -5*v**4 - 104*v**3 + 238*v**2 - 126*v - 3. Let y(w) = -20*f(w) + 3*k(w). Factor y(q).
-5*q*(q - 1)**2*(q + 24)
Suppose -595*v - 417*v = -256*v. Suppose v*s**3 - 8/7 - 2/7*s**4 + 0*s + 10/7*s**2 = 0. What is s?
-2, -1, 1, 2
Let o = -275 - -278. Find f such that -7*f**3 + 5*f**3 + f**2 - 61 - 87*f - 21*f**2 - o + 23*f = 0.
-4, -2
Suppose 36*s - 6*s + 9*s = -15*s. What is i in -8/7*i**3 + 4/7*i**4 + s - 4/7*i**2 + 8/7*i = 0?
-1, 0, 1, 2
Let i(a) be the second derivative of -2*a**7/189 - 22*a**6/135 + a**5/9 + 55*a**4/27 - 8*a**3/27 - 88*a**2/9 + a - 506. Solve i(g) = 0.
-11, -2, -1, 1, 2
Let g(j) = 6*j**5 - j**4 + 12*j**3 - 10*j**2 + 7. Let n(y) = 50*y**5 - 1 - 98*y**5 + y**2 + 47*y**5 + 4*y**3 - 5*y**3. Let q(h) = 5*g(h) + 35*n(h). Factor q(i).
-5*i**2*(i - 1)**2*(i + 3)
Suppose 0*u - 3*g - 1 = 4*u, 3*u = -2*g. Factor -90*d + 2*d**2 - 7*d**u + 10 - 10.
-5*d*(d + 18)
Let o(a) be the first derivative of a**6/6 - 14*a**5 + 597*a**4/4 + 320*a**3/3 - 4102*a**2 - 11760*a + 6968. Let o(p) = 0. What is p?
-2, 7, 60
Let z(x) = 5502*x + 11004. Let f be z(-2). Factor -21/4*n**2 + 9/4*n**4 - 15*n**3 + 0*n + f.
3*n**2*(n - 7)*(3*n + 1)/4
Let q be (-4 - -1)*(-18)/27. Let k(l) = -5*l**2 + 3*l**q - 7*l + 8*l + 3*l**2 + 1. Let w(v) = 15*v**2 + 21. Let m(j) = -12*k(j) + w(j). Factor m(r).
3*(r - 3)*(r - 1)
Let x(m) = -21*m**2 - 27675*m + 8328. Let z(r) = 21*r**2 + 27674*r - 8188. Let d(y) = 2*x(y) + 3*z(y). Factor d(p).
3*(p + 1318)*(7*p - 2)
Let m be (13 + 2266/(-154))/(8/((-80)/15)). Factor 12/7*u - 4/7*u**2 - m.
-4*(u - 2)*(u - 1)/7
Let z(a) = -104*a + 1724. Let r(y) = 34*y - 573. Let v(k) = 16*r(k) + 5*z(k). Let d be v(23). Factor -10/3*g**d - 8/3*g**2 + 0*g + 0 - 8*g**3.
-2*g**2*(g + 2)*(5*g + 2)/3
Let r(b) be the first derivative of -b**3/9 - 26*b**2/3 - 235*b/3 - 1805. Solve r(v) = 0 for v.
-47, -5
Let a be (5 - (644/(-8) + 3))*-2. Let s = a - -168. Factor -6/11 - 2/11*n**s - 14/11*n - 10/11*n**2.
-2*(n + 1)**2*(n + 3)/11
Let m(r) be the first derivative of 1/6*r**3 + 4*r**2 + 13 + 0*r. Factor m(u).
u*(u + 16)/2
Let a = 1493 - 815. Suppose a = -h + 681. Factor 1/2*q**4 + 0*q**2 + 0 + 0*q**h + 0*q.
q**4/2
Let n(q) = -q**2 - 43*q - 59. Let y be n(-39). Let c = y + -94. Let -1/2*g**c - 3/2*g**2 + 3/2 + 1/2*g = 0. What is g?
-3, -1, 1
Let y(h) be the third derivative of -h**7/140 + 13*h**5/40 + 3*h**4/4 + 29*h**2 - 49*h. Factor y(a).
-3*a*(a - 4)*(a + 1)*(a + 3)/2
Solve -1/2*u**3 - 1573/2 - 407/2*u - 35/2*u**2 = 0.
-13, -11
Factor -342*b - 557*b**2 - 28*b**4 - 28*b**4 - 140*b**3 - 110 + 2*b**5 + 193*b**2 + 50*b**4.
2*(b - 11)*(b + 1)**3*(b + 5)
Let a be ((-57)/(-95))/(1/30). Suppose b = 4*m + 3*b, a = -m - 5*b. Factor j**2 + 19 + 4*j**4 - 4*j**5 - 4*j + 7*j**3 - 9*j**m - 15 + j**3.
-4*(j - 1)**3*(j + 1)**2
Suppose 4*u = 2*w - u - 1, 1 = -w + 4