l + 15. Factor d*v**3 - 20*v - 58*v**3 + 60*v**2 + 30*v**4 - 10*v**3 - v**5 - 4*v**5.
-5*v*(v - 2)**2*(v - 1)**2
Let c(b) = 5*b - 1. Let f be -1 + 1/(-1) + (3 - 0). Let j be c(f). Factor -y**j + 60*y**2 - y**4 - 58*y**2 + 2*y**3 - 2*y.
-2*y*(y - 1)**2*(y + 1)
Let t(q) be the second derivative of -q**5/110 - 295*q**4/11 - 348100*q**3/11 - 205379000*q**2/11 + 688*q - 1. What is x in t(x) = 0?
-590
Suppose 6*r + 2 = 7*r. Determine m so that -65*m**2 - 59*m**r - 978 - 60*m**3 + 994 = 0.
-2, -2/5, 1/3
Let f(n) = -n**3 + 5*n**2 - 3*n + 13. Let x be f(5). Let h be (2 - 3) + 3 + x. Solve 0 + h*t + 1/3*t**2 + 2/3*t**3 + 1/3*t**4 = 0.
-1, 0
Let b(x) be the third derivative of 1 + 1/60*x**6 + 0*x + 5/12*x**4 + 40*x**2 + 0*x**3 - 1/5*x**5. Factor b(a).
2*a*(a - 5)*(a - 1)
Let d = 33453 + -33451. Let p(l) be the third derivative of -4/7*l**3 - 13/28*l**4 + 1/20*l**5 + 0*l + 17*l**d + 0. Factor p(o).
3*(o - 4)*(7*o + 2)/7
Let m = 2417 - 2413. Let s(h) be the first derivative of m - 8/7*h - 4/21*h**3 + 6/7*h**2. Let s(z) = 0. What is z?
1, 2
Let n(y) be the second derivative of -y**6/165 - y**5/22 - 7*y**4/66 - y**3/11 + 2247*y. Factor n(i).
-2*i*(i + 1)**2*(i + 3)/11
Let t be ((-8)/18)/((-1930)/579). Let n(j) be the second derivative of 14*j + t*j**6 + 6*j**2 + 0 - 2/5*j**5 - 4/3*j**4 + 4/3*j**3. Solve n(q) = 0 for q.
-1, 1, 3
Let t be 1 - -1 - (1*-4 - (-584)/146). Let i be (-596)/(-6)*6/4. Factor 91*n - 256 - 4*n**t + i*n - 176*n.
-4*(n - 8)**2
Let i(g) be the first derivative of -5*g**4/2 - 86*g**3 + 26*g**2 + 3993. Let i(s) = 0. Calculate s.
-26, 0, 1/5
Let k(s) be the third derivative of s**9/60480 - s**8/5040 + s**7/1260 + 31*s**5/30 + 2*s**2 - 1. Let w(d) be the third derivative of k(d). Factor w(y).
y*(y - 2)**2
Let x(z) be the third derivative of 48*z**2 + 1/90*z**5 - 10/9*z**3 + 0 + 0*z + 1/24*z**4. Factor x(u).
(u + 4)*(2*u - 5)/3
Let b(l) be the third derivative of 72*l**2 + 6/5*l**3 + 1/100*l**5 + 0*l + 0 - 13/40*l**4. Solve b(i) = 0 for i.
1, 12
Let j(c) be the third derivative of c**8/1176 + 17*c**7/735 + c**6/10 - 26*c**5/21 + 50*c**4/21 + 2*c**2 - 560. Suppose j(u) = 0. What is u?
-10, 0, 1, 2
Suppose 5*r + 53 = 2*x - 42, 2*r = 3*x - 126. Factor 2019*f**2 + 63 + 5*f**4 - 1989*f**2 + x*f**3 + 62 - 200*f.
5*(f - 1)**2*(f + 5)**2
Let n be (14690/82264)/(5/12). Let -24/7 + 27/7*k**5 - 72/7*k**4 + n*k**3 - 12/7*k + 78/7*k**2 = 0. Calculate k.
-2/3, 1, 2
Let h = -82 + 85. Suppose p - 2*p + 5*p**2 - 4*p + 0*p - 5*p**4 + 5*p**h = 0. Calculate p.
-1, 0, 1
Let r(c) be the first derivative of 4*c**3/3 + 1516*c**2 + 574564*c + 3183. Let r(v) = 0. What is v?
-379
Factor 316/3 + 308/3*q**2 - 628/3*q + 4/3*q**3.
4*(q - 1)**2*(q + 79)/3
Suppose -912 + 454*r + 2*r**2 - 1405*r + 470*r + 471*r = 0. Calculate r.
-19, 24
Let u(m) be the first derivative of -3*m**2/2 + 12*m - 9. Let n be u(3). Suppose k**4 + 12*k**n - 5*k**4 + 3*k**5 - 2*k**4 - 9*k**4 = 0. Calculate k.
0, 1, 4
Suppose 2*z = -k + 8, -3*k + z - 2*z + 44 = 0. Factor -2*g**5 + 12*g**4 + 340*g**3 + 344*g**3 + k*g**2 - 708*g**3.
-2*g**2*(g - 2)**3
Let q(g) = -5*g**2 + 1160*g - 450. Let h(r) = 10*r**2 - 2309*r + 900. Let z(l) = -3*h(l) - 5*q(l). Factor z(w).
-(w - 225)*(5*w - 2)
Let a(r) = -r**2 - 26*r + 125. Let c be a(-28). Factor 275684 + 311*y**2 - c*y**2 + 20172*y - 2*y**3 - 12*y**2 + 262*y**2 + 6*y**3.
4*(y + 41)**3
Let t be (16 - (-66)/(-4))*(-64)/18. Determine a so that 0 - 104/9*a**2 - 212/9*a**3 - 10/3*a**5 - t*a - 142/9*a**4 = 0.
-2, -2/5, -1/3, 0
Let y be 28/(-6) + (-11)/(44/(-20)). Let l(h) be the second derivative of 0 + 39*h - y*h**4 + 4/3*h**3 + 0*h**2. Factor l(d).
-4*d*(d - 2)
Let p(t) be the first derivative of -5*t**3/12 + 1720*t**2 - 2366720*t + 6225. Factor p(o).
-5*(o - 1376)**2/4
Let a(z) be the third derivative of z**6/480 + 131*z**5/120 + 17161*z**4/96 - 1678*z**2. Factor a(m).
m*(m + 131)**2/4
Let b(s) be the first derivative of -15*s**4/8 + 103*s**3/6 + 7*s**2/2 - 904. Find c such that b(c) = 0.
-2/15, 0, 7
Let s(y) = -y**3 + 6*y**2 - 4*y - 2. Suppose 3*c - 6 = 9. Let h be s(c). Let t - 36*t**4 - 45*t**4 - t**h + t**2 + 80*t**4 = 0. What is t?
-1, 0, 1
Let x(p) be the third derivative of 0*p - 7 + 1/35*p**7 + 1/20*p**6 + p**3 - 1/8*p**4 + 2*p**2 - 1/112*p**8 - 1/5*p**5. Suppose x(u) = 0. What is u?
-1, 1, 2
Let q(p) = p**3 + p. Let r = 2154 + -2172. Let w(k) be the second derivative of 2*k**5/5 - k**4/4 + 7*k**3/6 + 2*k. Let b(i) = r*q(i) + 2*w(i). Factor b(y).
-2*y*(y + 1)*(y + 2)
Find p, given that 24869*p**2 - 100*p**3 - 24304*p**2 + 16*p - 405 - 76*p = 0.
-3/4, 1, 27/5
Let d(a) be the second derivative of -a**5/5 + 26*a**4 - 3290*a. Factor d(x).
-4*x**2*(x - 78)
Suppose 23520 - 3720 = 20*j. Factor 4*t**2 + 240*t + j - 990.
4*t*(t + 60)
Let u(s) be the third derivative of 2*s**7/15 - 22*s**6/15 + 68*s**5/15 - 8*s**4/3 - 219*s**2 + 2*s. Let u(b) = 0. What is b?
0, 2/7, 2, 4
Let x(q) be the first derivative of -q**5/15 - 19*q**4/4 - 64*q**3 + 3584*q**2/3 - 870. Factor x(m).
-m*(m - 7)*(m + 32)**2/3
Let f be (24/10)/(21/30). Let s = -344619 + 344622. Suppose 96/7*v**s + 4/7*v**2 + 4/7 + 64/7*v**4 - f*v = 0. What is v?
-1, 1/4
Suppose -4*f + 4*t = -7*f - 31, 3*t + 39 = 3*f. Factor -7/3*r**2 + 5*r - 3 + 1/3*r**f.
(r - 3)**2*(r - 1)/3
Suppose 5 = -5*c - 2*m + 24, 0 = -2*c + 4*m - 2. Let x be (c/11)/(21/154). Factor -4/9*q**x + 0*q + 4/9.
-4*(q - 1)*(q + 1)/9
Let z = -50 - -47. Let u be (-1)/(z/(-207))*3/(-9). Suppose 1 + u*h**3 - 1 - 19*h**3 - 20*h**2 = 0. What is h?
0, 5
Let l(i) be the first derivative of i**5/15 - 5*i**4/3 + 32*i**3/3 - 88*i**2/3 + 112*i/3 + 445. Find r such that l(r) = 0.
2, 14
Let m(j) = 4*j + 9*j**2 - 106 - 56*j + 3*j. Let a(p) = p**2 - p + 1. Let y(d) = 4*a(d) - m(d). Factor y(w).
-5*(w - 11)*(w + 2)
Let v(p) be the first derivative of p**4/4 - 10*p**3/3 - 71*p**2/2 - 60*p - 5218. Determine n so that v(n) = 0.
-4, -1, 15
Let t(u) = 16*u - 254. Let z be t(16). Let j(p) be the first derivative of 5/9*p**3 + 25/6*p**z + 20/3*p - 16. Factor j(i).
5*(i + 1)*(i + 4)/3
Let l(h) be the third derivative of h**6/40 - 345*h**5/4 + 991875*h**4/8 - 190109375*h**3/2 + 63*h**2 + 1. Determine f, given that l(f) = 0.
575
Let u = -161949/5 - -32390. Solve 0 - u*s**2 - 28/5*s = 0.
-28, 0
Let t be (-10 - -212)*(-3)/12. Let u = 52 + t. Solve u*w + 3/2*w**2 + 0 = 0 for w.
-1, 0
Let t be (-214 + 200 - (-7 + 2)) + 11. Suppose -6/5*s**2 + 0 - 2/5*s**4 + 18/5*s - t*s**3 = 0. What is s?
-3, 0, 1
Let j(w) = 0 + 6 + 5*w - w**2 - 8. Let l be j(2). Factor 5000*c**2 + 89*c**4 + 3125 - 72*c**4 - 848*c - 32*c**5 - 2000*c**3 - 5402*c + 383*c**l.
-(2*c - 5)**5
Suppose -z + 35 = 2*j + j, -2*z = 2*j - 30. What is f in 48 + 156*f**2 + j*f + 138*f + 4*f**4 + 43*f**3 + 17*f**3 = 0?
-12, -1
Let p(b) be the first derivative of -11/2*b**2 - 125/12*b**3 + 21*b + 3/16*b**4 - 190. Suppose p(c) = 0. What is c?
-1, 2/3, 42
Let g = -16511 + 16513. Let b be 0 - ((-24)/(-7))/(-1). Factor -b*z - 8/7 + 18/7*z**g + 2*z**3.
2*(z - 1)*(z + 2)*(7*z + 2)/7
Let x = -584059 + 584059. Factor 18*s + x - 2/3*s**2.
-2*s*(s - 27)/3
Let m be (0 - 75/(-15)) + -12 + 494/65. Solve 0 + 0*l - m*l**4 - 2187/5*l**2 - 162/5*l**3 = 0.
-27, 0
Let h = -1/53536 + 22945/53536. Factor -h*j + 3/7*j**2 - 60/7.
3*(j - 5)*(j + 4)/7
Find p, given that -2/3*p**2 + 418/3 + 416/3*p = 0.
-1, 209
Let n(p) be the first derivative of p**6/12 - p**5/10 - 9*p**4/2 + 62*p**3/3 - 28*p**2 - 2256. Solve n(v) = 0 for v.
-7, 0, 2, 4
Let l be (-3)/(7 + -4 - 2). Let g = l - -5. Factor -35*f**2 - 8 + 39*f**g - 14*f**3 + 12*f + 4*f**4 + 2*f**3.
4*(f - 2)*(f - 1)**2*(f + 1)
Let g = 360662 + -360660. Factor 9/4*i**3 + 3/4*i**4 - 3/4*i**g - 9/4*i + 0.
3*i*(i - 1)*(i + 1)*(i + 3)/4
Factor -1288*y + 1658944 + 1/4*y**2.
(y - 2576)**2/4
Let n be (-22)/8*((-153)/6 + (187 - 164)). Determine t, given that 5*t - 1/8*t**5 - n*t**3 - 13/8*t**4 - 71/8*t**2 + 25/2 = 0.
-5, -2, 1
Let j(f) be the third derivative of f**6/100 + 7*f**5/75 - 11*f**4/12 - 14*f**3/5 - 500*f**2 - 2*f. Solve j(a) = 0 for a.
-7, -2/3, 3
Let i = -280 - -279. Let j(v) = -30*v**5 - 40*v**4 - 25*v**3 + 95*v**2 + 25*v + 25. Let k(n) = -n**5 + n**2 + n + 1. Let u(h) = i*j(h) + 25*k(h). Factor u(r).
5*r**2*(r - 1)*(r + 2)*(r + 7)
What is m in -192*m - 1484*m**3 + 32*m**2 + 749*m**3 + 739*m**3 = 0?
-12