 - 5*k**3 + 0*k**3 + 44*k**2.
-2*k*(k + 3)*(k + 5)
Let u(c) = -19*c + 126. Let d be u(6). Suppose 87*j - 84*j - d = 0. Let 14/3*p**2 + 4/3*p + 6*p**3 + 2/3*p**5 + 0 + 10/3*p**j = 0. Calculate p.
-2, -1, 0
Let f(b) be the second derivative of -b**5/210 - 4*b**4/21 - 64*b**3/21 - 7*b**2 - 10*b. Let j(i) be the first derivative of f(i). Factor j(c).
-2*(c + 8)**2/7
Let u(m) be the first derivative of 5*m**6/27 + 14*m**5/45 - 29*m**4/9 - 16*m**3/9 + 202. Determine o so that u(o) = 0.
-4, -2/5, 0, 3
Let b(p) be the first derivative of 1/21*p**3 - 4/7*p - 20 - 3/14*p**2. Find i such that b(i) = 0.
-1, 4
Factor 0 - 9/7*b**2 - 1/7*b**3 + 10/7*b.
-b*(b - 1)*(b + 10)/7
Let c(d) be the first derivative of -5*d**3/24 + 17*d**2/8 - 29*d/8 + 231. Factor c(n).
-(n - 1)*(5*n - 29)/8
Let j(d) be the second derivative of -1/4*d**4 + 0 - 40*d - 3*d**3 - 12*d**2. Let j(p) = 0. What is p?
-4, -2
Let o(b) be the third derivative of 1/1344*b**8 - 1/120*b**5 + 0*b + 0*b**3 + 10*b**2 + 0 + 1/420*b**7 + 0*b**6 - 1/96*b**4. Factor o(f).
f*(f - 1)*(f + 1)**3/4
Let w(p) = p**4 - p**3 - 5*p**2 + 6*p + 36. Let j(g) = -g**2 + g. Let h(z) = 3*j(z) - w(z). Let y(u) be the first derivative of h(u). Factor y(q).
-(q - 1)*(q + 1)*(4*q - 3)
Let b(r) = 14365*r**2 + 4385*r + 340. Suppose 6*l - 191 = 19. Let d(t) = 74*t + 240*t - 56*t + 845*t**2 + 20. Let v(k) = l*d(k) - 2*b(k). Factor v(i).
5*(13*i + 2)**2
Let u(c) be the first derivative of c**5/90 - c**4/18 - c**3/3 + 3*c**2/2 - 15. Let w(h) be the second derivative of u(h). Factor w(m).
2*(m - 3)*(m + 1)/3
Factor 164/3*y - 4/3*y**2 - 160/3.
-4*(y - 40)*(y - 1)/3
Let m(b) be the first derivative of -b**7/28 + 9*b**5/40 - b**4/4 + 34*b - 7. Let l(j) be the first derivative of m(j). Suppose l(u) = 0. What is u?
-2, 0, 1
Let s(h) be the first derivative of -h**7/210 + h**5/10 - h**4/3 - 3*h**3 + 13. Let d(o) be the third derivative of s(o). Factor d(k).
-4*(k - 1)**2*(k + 2)
Determine z, given that 3*z**3 - 20/3 - 12*z - 2/3*z**4 + 13/3*z**2 = 0.
-2, -1/2, 2, 5
Let f(y) be the second derivative of 2*y**6/75 - y**5/150 - y**4/15 + y**3/45 - 180*y. Let f(v) = 0. Calculate v.
-1, 0, 1/6, 1
Let f be -2 - (0 + -5) - -1. Suppose 3*l - q = 6 - 2, 0 = -5*l - f*q - 16. Find p such that 2*p + p**3 + l*p**3 + 4 - 4*p**2 - 3*p**3 = 0.
-2, -1, 1
Let f(j) = 2*j**2 - 10*j + 12. Let o be f(6). Let w be 0*4/o - 2/(-4). Find a such that a**2 - 1/2*a**5 - 1/2 - 1/2*a + a**3 - w*a**4 = 0.
-1, 1
Find m, given that 654*m**2 + 176 + 1446*m**2 - 90*m**3 - 27*m**3 + 19*m**3 + 1224*m = 0.
-2/7, 22
Determine f, given that 4*f**3 - 4*f + 3*f**2 + 9 - 5 - 7*f**2 = 0.
-1, 1
Let m(x) = -7350*x**2 + 847*x - 24. Let r(n) = -2450*n**2 + 282*n - 8. Let z(u) = -4*m(u) + 14*r(u). Find d, given that z(d) = 0.
2/35
Determine u so that -113*u**2 - 1670*u + u**4 + 30*u**3 + 911*u + 816*u + 25*u**3 = 0.
-57, 0, 1
Let x(k) be the second derivative of 1/2*k**2 - 1/48*k**4 + 1/8*k**3 + 2*k + 0. Factor x(m).
-(m - 4)*(m + 1)/4
Let d(o) be the second derivative of -o**5/570 + o**4/76 - 11*o**2/2 + 10*o. Let x(z) be the first derivative of d(z). Determine m, given that x(m) = 0.
0, 3
Let z(u) be the third derivative of -u**7/126 + u**6/45 + 11*u**5/45 + 2*u**4/9 - 77*u**2. Factor z(c).
-c*(c - 4)*(c + 2)*(5*c + 2)/3
Let i be ((-16)/12)/((-1)/18). Let 6*f**2 + 5*f**2 + 36 - i*f - 3*f**2 - 4*f**2 = 0. What is f?
3
Solve 0*l - 40/3 + 5/6*l**2 = 0 for l.
-4, 4
Let p be ((-6)/(-24))/(2/64). Let h(c) be the first derivative of 4*c**2 - p*c + 3 - 2/3*c**3. Factor h(b).
-2*(b - 2)**2
Let v(i) be the second derivative of i**4/6 - 2*i**3/3 + 2*i**2 + 5*i. Let w(y) = 2*y**2 - 4*y + 3. Let x(z) = -3*v(z) + 4*w(z). Factor x(g).
2*g*(g - 2)
Let o(z) = -2*z**4 - 22*z**3 + 32*z**2 + 23*z - 27. Let t(m) = -m**4 - 2*m**3 - 2*m**2 + m. Let c(i) = o(i) + t(i). Let c(n) = 0. What is n?
-9, -1, 1
Suppose 8*w + 64 = 12*w. Factor w*u - 36*u - 2*u**2 + 5*u**3 - 13*u**2.
5*u*(u - 4)*(u + 1)
Let w = -148049/150 - -987. Let n(y) be the second derivative of -1/60*y**4 - 11*y - 1/30*y**3 + 0*y**2 + w*y**6 + 1/100*y**5 + 0. Suppose n(p) = 0. What is p?
-1, 0, 1
Let a(p) be the first derivative of 5*p**4/16 - 15*p**3/2 + 60*p**2 - 160*p + 192. What is u in a(u) = 0?
2, 8
Let z(r) be the first derivative of -5*r**6/63 - 16*r**5/105 + 13*r**4/14 + 172*r**3/63 + 20*r**2/21 - 16*r/7 - 226. Suppose z(d) = 0. Calculate d.
-2, -1, 2/5, 3
Let v(l) = -l**3 + 22*l**2 + 20*l + 29. Let k be v(23). Let a be (-6)/10*k/12. Find q, given that -4/9 + 2/3*q - 2/9*q**3 + 0*q**a = 0.
-2, 1
Let w(t) be the third derivative of t**7/1260 - t**6/180 - 19*t**5/180 - 5*t**4/12 - 3*t**3/4 - 22*t**2 - 8*t. Factor w(z).
(z - 9)*(z + 1)**2*(z + 3)/6
Let m(t) = 7*t**3 + 4*t**2. Let s(w) be the first derivative of 3*w**3 + 7 + 0*w + 15/4*w**4 + 0*w**2. Let q(k) = 9*m(k) - 4*s(k). Factor q(p).
3*p**3
Let h be 2/20*-6*-5. Let j(n) be the second derivative of 1/50*n**5 + 0 + 0*n**2 - h*n + 1/30*n**4 - 2/15*n**3. What is m in j(m) = 0?
-2, 0, 1
Let q(a) = 8*a**3 - 4*a**2. Let b(l) = 17*l**3 - 8*l**2. Let c = -51 - -38. Let d(u) = c*q(u) + 6*b(u). What is j in d(j) = 0?
0, 2
Let s be (-4)/(-14)*(0 - 28/(-20)). Suppose 4*l - 8 = -0. Determine d so that -2/5*d**3 + s*d**4 + 2/5*d + 0 - 2/5*d**l = 0.
-1, 0, 1
Let q = 581589760/59 + -11592243674615/1175988. Let t = q + -1/1812. Factor 2/11*i**4 + 48/11*i**2 + t + 64/11*i + 16/11*i**3.
2*(i + 2)**4/11
Let h(g) be the third derivative of -3/35*g**7 - 1/28*g**8 + 0*g**3 + 13*g**2 - 1/40*g**5 + 3/32*g**6 + 0 + 0*g**4 + 0*g. Solve h(l) = 0.
-2, 0, 1/4
Let r(o) be the second derivative of 0 + 27*o - 15/4*o**2 - 3/8*o**5 - 65/12*o**3 - 65/24*o**4. Factor r(s).
-5*(s + 1)*(s + 3)*(3*s + 1)/2
Let u(c) = 0*c**3 - 5*c**4 + 21*c**3 - c**4 + 3*c**2 - 9*c + 0*c**2. Let s(n) = 3*n**4 - 10*n**3 - n**2 + 4*n. Let t(k) = 9*s(k) + 4*u(k). Factor t(v).
3*v**2*(v - 1)**2
Let b(z) = z**3 + 5*z**2 + z + 5. Let h be b(-5). Suppose d - 3*v = -v - 4, 5*d + 3*v - 19 = h. Factor -3*m**3 + d*m + 8*m**4 + 2*m - 7*m**4.
m*(m - 2)**2*(m + 1)
Let r be 7 + 86 + 2/((-2)/3). Let t = -177/2 + r. Find o such that -3*o**3 - 3*o**2 - 3/2 - t*o**5 + 9/2*o**4 + 9/2*o = 0.
-1, 1
Let o(g) be the second derivative of -1/21*g**3 + 1/42*g**4 + 0*g**2 + 0 + 16*g. Factor o(q).
2*q*(q - 1)/7
What is b in 9*b**3 + 437 + 3*b**4 - 9*b + 436 - 873 - 3*b**2 = 0?
-3, -1, 0, 1
Suppose 5*j - 6*j + 3 = 0. Determine l, given that 28*l - 3*l**4 + 0*l**3 - 36*l**2 - 8 + 20*l**j + 0 - l**4 = 0.
1, 2
Suppose 8 = 2*i - 4*l, i - 3*l - 8 = -2*l. Let j be (2/(-3))/((-4)/i). Factor -3*w - 3 + 6*w**2 + w + 1 - 2 - j*w**4 + 2*w**3.
-2*(w - 2)*(w - 1)*(w + 1)**2
Suppose 4*d - c = 27, 11*c - 15*c + 44 = 3*d. Let s(a) be the second derivative of 0 - d*a + 1/6*a**3 - 1/3*a**2 - 1/60*a**5 + 0*a**4. What is v in s(v) = 0?
-2, 1
Factor 0 + 2/5*t**4 + 0*t + 0*t**2 - 24*t**3.
2*t**3*(t - 60)/5
Suppose -7*t = -5*t + 24. Let j be (8/(-140)*-5)/(t/(-56)). Solve 2/3*s**2 - j*s + 0 = 0 for s.
0, 2
Let v(q) be the second derivative of -1/24*q**3 + 0*q**2 + 0 - 2*q + 5/96*q**4. Factor v(b).
b*(5*b - 2)/8
Let p(m) be the second derivative of -9*m**5/140 - 97*m**4/14 + 65*m**3/14 + 30*m + 1. Factor p(v).
-3*v*(v + 65)*(3*v - 1)/7
Let r(t) be the first derivative of -3*t**5/5 + 9*t**4/2 - 48*t**2 + 137. Factor r(i).
-3*i*(i - 4)**2*(i + 2)
Let n(z) be the second derivative of -3*z**5/140 + z**4/4 - 15*z**3/14 + 27*z**2/14 - 196*z. Determine f, given that n(f) = 0.
1, 3
Determine i, given that -i**4 - 569 - 6*i**3 - 57*i + 137 + 165*i**2 - 207*i - 2*i**4 = 0.
-9, -1, 4
Let a(v) be the third derivative of -v**8/6720 - v**7/420 - v**6/60 - v**5/15 + v**4/24 - v**2. Let x(z) be the second derivative of a(z). Factor x(o).
-(o + 2)**3
Let b(f) be the second derivative of -4*f**4/3 + 10*f**3 - 18*f**2 - 7*f - 10. Determine i, given that b(i) = 0.
3/4, 3
Let l(r) be the third derivative of r**7/70 - 41*r**6/40 + 47*r**5/5 - 73*r**4/2 + 72*r**3 + 74*r**2 - 5*r. Find b such that l(b) = 0.
1, 2, 36
Let l(z) be the first derivative of -5*z**4 + 25*z**3/3 - 5*z**2/2 + 242. Factor l(c).
-5*c*(c - 1)*(4*c - 1)
Suppose 82/9*g - 80/9 - 2/9*g**2 = 0. Calculate g.
1, 40
Let w(q) be the first derivative of -q**6/780 - q**5/130 - q**4/52 - q**3/39 - q**2 - 15. Let r(p) be the second derivative of w(p). Sol