l. Factor p(z).
4*(z + 1)**2
Let u(d) be the first derivative of -19*d + 5 - 1/3*d**3 + 10*d**2. Factor u(s).
-(s - 19)*(s - 1)
Suppose 3577 - 2892 = 137*f. What is g in 8/7*g - 10/7*g**f + 0 + 4/7*g**4 - 32/7*g**2 + 30/7*g**3 = 0?
-2, 0, 2/5, 1
Let t be (-9)/(-5) - 927/515. Let g(o) be the second derivative of -1/54*o**4 + 0 + t*o**2 + 5/27*o**3 - 13*o. Solve g(m) = 0 for m.
0, 5
Let j(r) be the first derivative of -r**4/28 + 4*r**3/7 - 45*r**2/14 - 261*r + 121. Let h(n) be the first derivative of j(n). Let h(o) = 0. What is o?
3, 5
Suppose 10*q - 9*q - 3 = 3*b, q - 5*b = -5. Let k be (q/25)/(1/5). Solve 16*z**2 - 39*z + 10 + 4*z**2 - 10*z**k + 14*z + 5*z**3 = 0.
1, 2
Let n = 17032 + -17032. Let v(l) be the second derivative of 1/9*l**3 + 0 - 22*l + n*l**4 + 0*l**2 - 1/30*l**5. Let v(m) = 0. What is m?
-1, 0, 1
Suppose 0 = 5*d - 10. Suppose s = -2*i + 9, 2*i = -d*s + 4*i. Let 3 + s + j**3 - j + 2*j**2 - 8 = 0. Calculate j.
-2, -1, 1
Let m(y) be the first derivative of 18/5*y - 3/20*y**4 - 65 + 6/5*y**3 - 33/10*y**2. Determine j so that m(j) = 0.
1, 2, 3
Let i(d) be the first derivative of -d**3/5 + 3441*d**2/10 + 3444*d/5 - 2404. Factor i(t).
-3*(t - 1148)*(t + 1)/5
Let x be 25/(-875)*-154 - 3*28/60. Let l(i) be the first derivative of 0*i + 10*i**2 + 52 - 4/3*i**x. Find h, given that l(h) = 0.
0, 5
Factor -141/10*y**2 - 4899/10*y + 5041/10 - 1/10*y**3.
-(y - 1)*(y + 71)**2/10
Let d(o) be the second derivative of -8*o**7/21 + 4*o**6/15 + 3*o**5/4 - 2*o**4/3 + o**3/6 - 361*o - 3. Find a, given that d(a) = 0.
-1, 0, 1/4, 1
Suppose k + 3*r - 1689 + 1702 = 0, 18 = -3*r. Factor 1/3*z**k + 2*z**3 + 0 - 4/3*z**2 + 1/3*z - 4/3*z**4.
z*(z - 1)**4/3
Let x(y) be the second derivative of -y**5/10 - 18*y**4 - 1040*y**3 - 10816*y**2 - 3491*y. Factor x(f).
-2*(f + 4)*(f + 52)**2
Let v = 120323 + -120320. What is i in v*i**2 + 21/5*i**3 + 3/5*i**4 - 18/5 - 21/5*i = 0?
-6, -1, 1
Let f(v) be the first derivative of 2*v**5/5 - 1769*v**4/6 + 2356*v**3/9 - 3028. Find r, given that f(r) = 0.
0, 2/3, 589
Let 38 - 26*j**2 + 56*j + 2*j**3 + 8*j - 78 = 0. Calculate j.
1, 2, 10
Suppose -8*r - 259 = 293. Let v be (r/(-161))/((-15)/(-21)). Factor v*p + 0 - 1/5*p**2.
-p*(p - 3)/5
Let p(o) be the third derivative of -71*o**2 - 7/36*o**4 - 1/18*o**5 + 0 - 1/3*o**3 - 1/180*o**6 + 0*o. Factor p(u).
-2*(u + 1)**2*(u + 3)/3
Let o(l) = l**3 - 4*l**2 - 4*l + 8. Let a be o(4). Let v be ((-6)/a)/(36/96). Solve -1 - 30*z**2 + 27*z**v + 7 + 3*z = 0 for z.
-1, 2
Let h = -300968 - -902906/3. Solve 0*c**2 + 8/3*c**4 + 8*c**3 - h*c**5 + 0 + 0*c = 0 for c.
-2, 0, 6
Let q(l) be the first derivative of 2*l**3/9 + 33*l**2 + 388*l/3 - 2347. Factor q(u).
2*(u + 2)*(u + 97)/3
Let b be (5 + 2 + -6)*(1 + 1). Let j(a) = -a + 4. Let q be j(b). Factor 16 - 10*r**3 + r**4 - 32*r + r**2 + 23*r**q + 2*r**3.
(r - 2)**4
Let g(p) = -43*p**3 + 126*p**2 + 171*p - 484. Let c be g(3). Let -243/8 - 27/4*n - 3/8*n**c = 0. Calculate n.
-9
Suppose 0 = -60*m - 90 + 210. Let n(y) be the third derivative of 0 - y**m + 0*y + 1/240*y**5 - 1/8*y**3 + 1/48*y**4. Factor n(f).
(f - 1)*(f + 3)/4
Factor 2/13*q**3 - 82/13*q**2 - 4200/13 + 80*q.
2*(q - 21)*(q - 10)**2/13
Let f(c) be the second derivative of 12*c**2 + 10/3*c**3 + 0 + 142*c + 1/3*c**4. Factor f(k).
4*(k + 2)*(k + 3)
Factor 1720/3*c**2 + 0 + 1/3*c**3 + 739600/3*c.
c*(c + 860)**2/3
Suppose 115 = 62*w - 195. Let p(d) be the third derivative of 0 + w*d**2 - 1/8*d**3 + 0*d + 1/32*d**4 - 1/160*d**6 + 1/80*d**5. Suppose p(t) = 0. Calculate t.
-1, 1
Let w be 120/(-1840)*(-943)/246. Let -w*h**3 + 0*h + 1/2*h**4 + 0 - 1/2*h**2 + 1/4*h**5 = 0. What is h?
-2, -1, 0, 1
Suppose -29 = 2*b - 5*d, -2*d = 26*b - 27*b - 11. Let p(m) be the first derivative of -2/9*m**b + 0*m + 4/3*m**2 + 11 - 1/12*m**4. Factor p(o).
-o*(o - 2)*(o + 4)/3
Let t(q) be the second derivative of -q**6/90 - 29*q**5/60 + 163*q**4/36 - 235*q**3/18 + 17*q**2 + 89*q - 6. Solve t(h) = 0 for h.
-34, 1, 3
Suppose -6*k + 19 = -23. Suppose -2*q - 315 = -k*q. Let 72 + 135*u + q - 2*u**3 - u**3 + 45*u**2 + 8*u**3 = 0. What is u?
-3
Let s(l) be the first derivative of 2*l**5/5 - 259*l**4/2 + 512*l**3 + 4*l**2 - 2048*l + 1228. Find w, given that s(w) = 0.
-1, 2, 256
Factor 335*h**2 + 339*h**2 + 416*h - 1002*h**2 - 5263 + 330*h**2 + 26895.
2*(h + 104)**2
Let p = 35426 - 460536/13. Factor 2/13*d + p*d**3 + 0 - 4/13*d**2.
2*d*(d - 1)**2/13
Let v(l) be the first derivative of -35*l**6/3 + 571*l**5/2 + 2115*l**4/8 - 7045*l**3/6 + 2425*l**2/4 - 105*l + 10697. Find t, given that v(t) = 0.
-2, 1/7, 1/4, 1, 21
Let 88/7*w**2 + 0 + 5/7*w**3 - 36/7*w = 0. What is w?
-18, 0, 2/5
Let d(n) = -n**2 - 9*n - 8. Let g be d(-8). Suppose -3*v + 4*f + 5 = 0, -2*f + g = -2. Factor 0*k**4 - 55*k**2 + v*k**4 + 58*k**2 - 6*k**3.
3*k**2*(k - 1)**2
Let v be 22/6 - (5 - (-23)/((-299)/26)). Let i(t) be the first derivative of -24*t - 10 - 1/2*t**4 + 8*t**2 + v*t**3. Solve i(m) = 0.
-3, 2
Suppose 168 = 9*i + 132. Let w(p) be the third derivative of 0*p**3 + i*p**2 - 1/30*p**5 + 0 + 0*p + 1/12*p**4. Factor w(c).
-2*c*(c - 1)
Suppose 51*o + 3/4*o**3 - 81/4*o**2 + 72 = 0. What is o?
-1, 4, 24
Suppose 2*u - 10 = 5*x - x, u - 8 = 5*x. Determine q, given that 12*q - 68*q**4 - 13*q - 84*q**u - 7*q - 20*q**5 - 44*q**2 = 0.
-1, -2/5, 0
Let g(s) be the second derivative of 3*s**5/4 - 295*s**4/12 - 220*s**3/3 + 210*s**2 + 2*s - 475. Find v such that g(v) = 0.
-2, 2/3, 21
Let t = -15345 + 15348. Let u(r) be the first derivative of 40 + 53/12*r**t - 3/4*r**4 + 2*r - 7/20*r**5 - 21/4*r**2. Suppose u(z) = 0. What is z?
-4, 2/7, 1
Factor -13/6*c**2 + 7/2 - 44/3*c.
-(c + 7)*(13*c - 3)/6
Let h(g) = 8*g - 30. Let n be h(6). Suppose -41*s + n = -38*s. Let 3*i**2 + 11*i**2 - s*i - 11*i**2 + 3*i**3 = 0. What is i?
-2, 0, 1
Let v = 7/559 + 524/2795. Solve -7/5*o**3 + 8/5 + 18/5*o**2 - 4*o + v*o**4 = 0 for o.
1, 2
Let i(a) be the first derivative of 4*a**5/5 + 21*a**4 + 436*a**3/3 + 318*a**2 + 280*a - 4683. Solve i(l) = 0 for l.
-14, -5, -1
Let n = 530 - 530. Factor -43*x + 1 - 2*x**3 + x**3 + n*x**3 + 23*x**2 + 0*x**3 + 20.
-(x - 21)*(x - 1)**2
Let m be 100/(-6)*((-104)/16 - -5). Let o be (-3)/18 + m/150. Factor 4/3*d**2 + 0*d + 2/3*d**3 + o.
2*d**2*(d + 2)/3
Suppose -43*z + 54*z - 528 = 0. Let z*r + 7*r**2 + 6*r**2 + r**3 + 19 + 25 - 5 - 3 = 0. What is r?
-6, -1
Suppose 8*r - r + 574 = 0. Let n be (11/33 + r/(-24))*4. Determine d, given that 5*d**3 + 40*d**4 - 22*d**5 - 28*d**5 + n*d**4 - 13*d**2 + 3*d**2 = 0.
-2/5, 0, 1/2, 1
Let h(z) = -38*z**2 - 611*z + 214. Let s(p) = 132*p**2 + 2139*p - 747. Let l(o) = 18*h(o) + 5*s(o). Factor l(n).
-3*(n + 13)*(8*n - 3)
Let o(k) be the third derivative of -k**7/1995 + k**6/190 + 5*k**5/38 + 49*k**4/57 + 52*k**3/19 + 25*k**2 + 4. Solve o(n) = 0.
-3, -2, 13
Let u(g) = 470*g - 520. Let v be u(5). Let o = -27448/15 + v. Factor 14/15*a + 2/3*a**2 + o*a**3 + 2/5.
2*(a + 1)**2*(a + 3)/15
Let l = 32675 - 27675729/847. Let k = l + 12737/6776. What is f in -9/4 - 3/8*f**2 - k*f = 0?
-3, -2
Let h(w) be the first derivative of w**6/90 - 5*w**4/18 + 3*w**2/2 - 104*w + 206. Let x(z) be the first derivative of h(z). What is c in x(c) = 0?
-3, -1, 1, 3
Let w = 18711 + -93547/5. Determine i, given that 2/5*i**5 + w*i + 26/5*i**2 + 0 + 6*i**3 + 14/5*i**4 = 0.
-4, -1, 0
Let s(f) be the first derivative of -f**4/4 + 15*f**3/2 - 21*f**2 + 11*f - 32. Let j(t) be the first derivative of s(t). Suppose j(a) = 0. Calculate a.
1, 14
Suppose 20 - 12 = 2*z. Solve -108 - 216*o - 144*o**2 - 2*o**4 - 118*o**3 - 5*o**4 + 78*o**3 + 3*o**z = 0 for o.
-3, -1
Let g be 5 - (42 + (-19 - 20)). Find d such that 18/5*d**3 + 18/5*d**4 - 12*d**g - 117/5*d + 3/5*d**5 - 54/5 = 0.
-3, -1, 2
Let s be 4*-1 + -11 + 22. Let n(l) = 10*l**2 + 24*l + 26. Let q(z) = 18*z**2 + 49*z + 52. Let y(r) = s*n(r) - 4*q(r). Factor y(h).
-2*(h + 1)*(h + 13)
Let x be (((-12)/50)/(144/(-2400)))/(2*1). Factor 2/7*o**x + 44/7 - 46/7*o.
2*(o - 22)*(o - 1)/7
Let f = -196 + 198. Let -567*r + 254 - 51*r**f - 108*r - 879 - r**3 = 0. What is r?
-25, -1
Let g(b) be the second derivative of 0*b**2 + 0 + 0*b**3 - 1/70*b**7 + 1/10*b**4 - 1/25*b**6 + 3/100*b**5 + 185*b. Let g(a) = 0. What is a?
-2, -1, 0, 1
Let w(d) = -84652*d + 84652. Let u be w(1). Solve -21/4*y**4 + 0*y + u - 3/4*y**5 + 0*y**2 + 6*y**