 2*n**y - 4*n**4 + 4*n**5 = 0.
-1, 0, 1
Let j be 150/55*(-264)/(-168) + -4. Let 0 - 12/7*w - j*w**2 = 0. Calculate w.
-6, 0
Find t, given that -399/2*t**2 + 147/2*t**3 + 1800 - 660*t = 0.
-3, 20/7
Let d(h) be the third derivative of -h**8/20160 + h**7/560 - 23*h**5/60 + 35*h**2. Let s(r) be the third derivative of d(r). Factor s(l).
-l*(l - 9)
Let k be 4/(-8)*26*-1. Suppose -k = 3*a - 34. Suppose 23*m**3 - 4*m + 33*m**3 + a*m + 5*m + 44*m**2 = 0. Calculate m.
-1/2, -2/7, 0
Suppose 3*t = -2*p + 10, -4*p - 3*t = -5 - 9. Factor 4/11*y**p + 0 + 2/11*y + 2/11*y**3.
2*y*(y + 1)**2/11
Let j(k) be the first derivative of 2*k**6/15 - 18*k**5/25 - 13*k**4/5 + 34*k**3/5 - 18*k**2/5 - 99. Suppose j(s) = 0. What is s?
-3, 0, 1/2, 1, 6
Let y(s) be the first derivative of -1/2*s**2 + 13/15*s**3 + 2/15*s**6 - 2/5*s - 10 + 1/20*s**4 - 11/25*s**5. Solve y(u) = 0 for u.
-1, -1/4, 1, 2
Let s = -5889 - -11859/2. What is t in -s*t**2 - 39*t**3 + 6 - 6*t - 21/2*t**4 = 0?
-2, -1, 2/7
Let f(n) be the first derivative of 6 + 0*n**2 + 0*n + 3/5*n**5 + 9/4*n**4 + 2*n**3. Find s, given that f(s) = 0.
-2, -1, 0
Let o(j) be the second derivative of -j**5/360 + j**4/9 - 16*j**3/9 + 33*j**2/2 + 40*j. Let q(x) be the first derivative of o(x). Factor q(k).
-(k - 8)**2/6
Suppose -3*w - 2*w - 21 = -2*h, 0 = 4*h + 2*w - 6. Suppose h = c, 6*t - c - 6 = 3*t. Let -5*k**t + 4*k**3 - 4*k**3 = 0. What is k?
0
Suppose 48 = 10*g - 4*g. Let t(j) = 4*j**3 - 5*j**2 - 4*j + 5. Let f(k) = 6*k**3 - 8*k**2 - 6*k + 8. Let n(q) = g*t(q) - 5*f(q). Suppose n(i) = 0. Calculate i.
-1, 0, 1
Let u(w) be the first derivative of 0*w - 1/4*w**2 + 1/3*w**3 - 1/8*w**4 - 13. Factor u(q).
-q*(q - 1)**2/2
Let j(d) be the first derivative of -6*d**5 + 35*d**4/4 + 80*d**3/3 - 35*d**2/2 - 50*d - 53. Let j(b) = 0. What is b?
-1, -5/6, 1, 2
Let r(i) = 13*i**2 + 19*i + 65. Let b(z) = -16*z**2 - 20*z - 66. Let p(x) = -5*b(x) - 6*r(x). Let p(n) = 0. What is n?
-3, 10
Let x(n) be the third derivative of -n**7/70 - n**6/40 + 9*n**5/20 - 11*n**4/8 + 2*n**3 + 17*n**2 + 6. Suppose x(l) = 0. What is l?
-4, 1
Let b = 262 - 257. Let v(q) be the first derivative of -2/3*q**3 + 0*q**4 + 2/5*q**b + 1/2*q**2 + 0*q + 2 - 1/6*q**6. Find p, given that v(p) = 0.
-1, 0, 1
Let s(b) = -14*b**2 - 16*b + 80. Let q(t) = -9*t**2 - 11*t + 53. Let r be (28 + -29)*(-5)/1. Let j(y) = r*s(y) - 8*q(y). Factor j(w).
2*(w - 2)*(w + 6)
Let l(s) = 3*s - 43. Let a(p) = p - 14. Let q(i) = 11*a(i) - 4*l(i). Let v be q(17). Factor 11/4*c**2 + 15/2*c**3 - 25/4*c**4 - 3*c - v.
-(c - 1)**2*(5*c + 2)**2/4
Suppose 7*m - 52 = 18. Factor -m*r**2 + 8 + 2*r**3 - 3*r**2 + 7*r**2.
2*(r - 2)**2*(r + 1)
Let z(i) = 4*i**3 + 36*i**2 - 94*i + 54. Let m(u) = -u**3 - 7*u**2 + 19*u - 11. Let c(b) = 14*m(b) + 3*z(b). Factor c(r).
-2*(r - 2)**2*(r - 1)
Let v(y) be the first derivative of -676*y**5/5 + 559*y**4 - 664*y**3 + 232*y**2 - 32*y - 158. Solve v(f) = 0.
2/13, 1, 2
Let b(u) = -u**2 + 8*u + 2. Let y be b(8). Factor 5 + 24*n + 4*n - 13*n**y - 8*n - 12*n**2.
-5*(n - 1)*(5*n + 1)
Let q be (-63)/(-18)*(-15)/(-70). Factor -q + 3/4*m**2 + 0*m.
3*(m - 1)*(m + 1)/4
Let s(t) be the first derivative of -1/50*t**5 + 5 + 2/5*t**2 - 9*t - 1/15*t**4 + 1/15*t**3. Let a(y) be the first derivative of s(y). Factor a(z).
-2*(z - 1)*(z + 1)*(z + 2)/5
Suppose 5*s - 23 = -g, 4*g + 4*s = -s + 152. Find j, given that -49 - g + 16*j**2 - 4*j**3 + 92 = 0.
0, 4
Let d(h) be the second derivative of -4*h + 0*h**2 + 1/3*h**4 + 0 - 4/3*h**3. Factor d(k).
4*k*(k - 2)
Let k(v) be the third derivative of 0*v**4 + 0 + 1/180*v**5 - 2/27*v**3 + 1/1080*v**6 - v**2 + 0*v. Factor k(z).
(z - 1)*(z + 2)**2/9
Let q(s) = -s**2 + 6*s - 18. Let v(l) = l**2 - 5*l + 19. Let a be (-12)/8*(-24)/(-3). Let x = 6 + a. Let k(u) = x*q(u) - 4*v(u). Find g, given that k(g) = 0.
4
Let g(m) be the first derivative of 1/10*m**5 + 0*m - 5/8*m**4 - 11 + 7/6*m**3 - 3/4*m**2. Suppose g(h) = 0. Calculate h.
0, 1, 3
Let q(m) be the third derivative of -7*m**6/480 + 5*m**5/16 + 17*m**4/8 + 13*m**3/6 + 7*m**2 + 2. Factor q(y).
-(y - 13)*(y + 2)*(7*y + 2)/4
Let f be ((-60)/25)/((-12)/20). Suppose -3*a - s + 13 = 0, -5*a - 1 = s - 24. Factor -4*t**4 + 5*t**2 - a*t**5 + 4*t**f - t**4 - 4*t**4 + 5*t**3.
-5*t**2*(t - 1)*(t + 1)**2
Let d(f) = 5*f**2 - 64*f + 51. Let j be d(12). Find x such that 1/2*x**j + 1/2 + 3/2*x + 3/2*x**2 = 0.
-1
Factor -177*p - 4*p**3 - 47 + 15 + 12*p**2 + 201*p.
-4*(p - 4)*(p - 1)*(p + 2)
Let q be (14 + -22)/(0 + -16). Factor 1/10*x**5 + q*x**4 + 4/5*x**3 + 2/5*x**2 + 0*x + 0.
x**2*(x + 1)*(x + 2)**2/10
Let m be 9/(-2)*(-1 - 2 - 3). Factor 5 + 24*v**2 + 17*v**3 - 23*v - m*v**3 + 5*v - 1.
-2*(v - 1)**2*(5*v - 2)
Suppose 3 - 9 = -2*v. Factor -5*h**v + 16 - 22 + 15*h + 15 + 1.
-5*(h - 2)*(h + 1)**2
Let v(d) = -d**3 - 13*d**2 - 15*d - 16. Suppose -20 = 3*p + 5*o + 1, 0 = -2*p - 2*o - 18. Let x be v(p). Let 3*u + x*u**2 + 2*u - u = 0. Calculate u.
-1/5, 0
Let c(j) be the first derivative of 0*j**2 + 0*j + 20 + 1/2*j**3. Factor c(q).
3*q**2/2
Suppose 0 = -2*f + 3 + 3. Suppose -n = -f*n + 4. Suppose -m**n - 4*m**3 + 7*m**3 - 2*m**2 = 0. What is m?
0, 1
Suppose -198 = -10*l - 168. Suppose -4*a = -0*a - 8. What is v in -v**3 + 8*v**2 - v - l*v + a*v - 5*v**3 = 0?
0, 1/3, 1
Let r(o) be the second derivative of -o**5/5 - 172*o**4 - 59168*o**3 - 10176896*o**2 - 127*o - 1. Factor r(d).
-4*(d + 172)**3
Let b(o) be the third derivative of 1/120*o**6 + 0 + 1/60*o**5 + 0*o - 1/210*o**7 - 15*o**2 - 1/24*o**4 + 0*o**3. Factor b(a).
-a*(a - 1)**2*(a + 1)
Let q = 95 - 92. Factor -3*k**4 - k**q - 18*k**2 + 3*k**2 - 11*k**3 - 6*k.
-3*k*(k + 1)**2*(k + 2)
Factor -14/13*u**4 - 2*u - 36/13*u**3 - 44/13*u**2 - 6/13 - 2/13*u**5.
-2*(u + 1)**4*(u + 3)/13
Let m(n) be the first derivative of -12*n**5/25 - 3*n**4/20 + 38. Find k such that m(k) = 0.
-1/4, 0
Let f(p) = 18*p**2 + 5*p - 32. Let c(i) = 8*i**2 + 2*i - 16. Let n(q) = 5*c(q) - 2*f(q). Factor n(h).
4*(h - 2)*(h + 2)
Let v(j) be the third derivative of j**8/528 - 19*j**7/2310 + j**6/88 - j**5/660 - j**4/132 - 137*j**2. Solve v(p) = 0.
-2/7, 0, 1
Let g(q) be the first derivative of 5*q**6/12 + q**5/2 - 15*q**4/8 - 25*q**3/6 - 5*q**2/2 - 10. Factor g(i).
5*i*(i - 2)*(i + 1)**3/2
Let w(p) be the third derivative of 1/630*p**7 - 1/180*p**5 + 1/360*p**6 - 1/1008*p**8 + 0*p**4 + 0*p**3 + 0 + 9*p**2 + 0*p. Factor w(o).
-o**2*(o - 1)**2*(o + 1)/3
Suppose 0 = -2*h - 3*h + 80. Let m be ((-4)/(-1))/(h/8). Factor -4*u**2 - m*u**4 - u**2 + 6*u**3 + u + u - u**2.
-2*u*(u - 1)**3
Let q(g) be the third derivative of -2 - 1/2*g**4 + 2/3*g**3 + 0*g - 1/20*g**6 + 13/60*g**5 + 2*g**2 + 1/210*g**7. Factor q(t).
(t - 2)**2*(t - 1)**2
Let k(n) = -3*n**3 - n**2 - 7*n - 10. Let s be k(-2). Factor -s*b + 8*b**3 - 4*b**4 - 24*b + 4 + 40*b.
-4*(b - 1)**3*(b + 1)
Let s(u) = -6*u**2 + 7*u - 4. Let y(i) = i. Let j(m) = 1. Let r(l) = -j(l) + y(l). Let c = -1 - 0. Let b(w) = c*s(w) + 4*r(w). Let b(o) = 0. Calculate o.
0, 1/2
Let d = 7387/6 - 1230. Let x(w) be the second derivative of 1/2*w**4 + w**2 + d*w**3 + 0 + 13*w. Suppose x(t) = 0. Calculate t.
-2/3, -1/2
Let m be 1209/62 - (21 + -2). Suppose -1/2*f**4 + 1/4 + m*f**3 + 1/8*f**5 - 5/8*f + 1/4*f**2 = 0. Calculate f.
-1, 1, 2
Suppose -212*v + 187*v + 2400 = 0. Let -v - 24*r - 3/2*r**2 = 0. Calculate r.
-8
Let a(s) be the second derivative of -5*s**7/42 - 32*s**6/3 - 1085*s**5/4 - 4805*s**4/6 + 334*s. Determine n so that a(n) = 0.
-31, -2, 0
Let x(s) be the first derivative of s**4/28 - 8*s**3/21 + 3*s**2/2 - 18*s/7 - 328. Suppose x(v) = 0. Calculate v.
2, 3
What is a in -110/7 - 106/7*a**2 + 218/7*a - 2/7*a**3 = 0?
-55, 1
Suppose -2*p + 54*o + 3 = 55*o, 0 = -4*p + 5*o - 15. Suppose 0 + p*j + 4/5*j**2 = 0. What is j?
0
Suppose 6*m - 64 = -2*m. Factor 15*g**3 - 6*g**2 + m - 20*g**3 + 7*g**3.
2*(g - 2)**2*(g + 1)
Let b be (-150)/(-30) + (-13)/5. Suppose -b - 24/5*w**3 + 28/5*w + 4*w**4 - 8/5*w**2 - 4/5*w**5 = 0. Calculate w.
-1, 1, 3
Let p = -15 - -36. Let t = 29 - p. Factor 8*x**2 - t*x**3 - 2*x**4 + 5*x**4 - x**4.
2*x**2*(x - 2)**2
Factor 0 + 54/5*b - 52/5*b**2 - 2/5*b**3.
-2*b*(b - 1)*(b + 27)/5
Let u(z) = z**2 - 1. Let w(d) = 5*d**2 + 20. Let f(m) = -m**2 - 5. Let c(p) = 25*f(p) + 6*w(p). Let a(g) = -2*c(g) + 11*u(g). Factor a(v).
(v - 1)*(v + 1)
Let c = -1937 - -19