- 1/3*n**5 = 0. Calculate n.
-6, -2, -1, 1
Suppose 31/3*k + 1/3*k**3 - 11/3*k**2 - 7 = 0. Calculate k.
1, 3, 7
Let y(q) be the second derivative of -q**7/28 + 3*q**6/2 + 93*q**5/40 + 217*q. Find f such that y(f) = 0.
-1, 0, 31
Let f(c) = 2*c**3 + 1. Let z(n) = 51*n**2 + 241 - 5*n**2 - 286*n - 5*n**3 + n**3 + 0*n**3. Let v(w) = -f(w) - z(w). Let v(p) = 0. What is p?
1, 11
Let s be ((-4)/(-12))/((-1)/(-21)). Suppose -s*q + 8*q - 2 = 0. Factor -n**2 - 2*n + q*n**3 - 4 + 4*n**2 - 7*n**2 + 8.
2*(n - 2)*(n - 1)*(n + 1)
Suppose 4*h - 22 = -5*b + 15, 2*h - 21 = -3*b. Factor -1/3*m**4 - m - 1/3*m**2 + 2/3 + m**h.
-(m - 2)*(m - 1)**2*(m + 1)/3
Let u(i) = 4*i**2 - 2*i + 1. Suppose 0 = 4*q - 5*q + 1. Let d be u(q). Factor 4/9*p**4 - 2/9*p**5 + 0*p**d - 4/9*p**2 + 2/9*p + 0.
-2*p*(p - 1)**3*(p + 1)/9
Suppose 5/3*s**2 - 2/3*s + 16/3*s**3 + 3*s**4 + 0 = 0. What is s?
-1, 0, 2/9
Let t(u) be the second derivative of 0*u**4 - 1/105*u**5 + 8*u + 0 + 0*u**3 + 0*u**2 - 1/315*u**6. Suppose t(c) = 0. Calculate c.
-2, 0
Let u(h) = 4*h**3 + 100*h**2 - 203*h + 99. Let w(f) = -2*f**3 - 50*f**2 + 102*f - 50. Let c(x) = -4*u(x) - 9*w(x). Suppose c(z) = 0. What is z?
-27, 1
Suppose 0 = -u - a - 1, 29 = 3*u + 4*a - 9*a. Find s, given that -u*s**4 + 50*s**3 - 38*s**3 + 0 + 0 - 12*s**2 = 0.
0, 2
Let g(j) be the first derivative of -26 + 20*j + 5/3*j**3 - 25/2*j**2. What is l in g(l) = 0?
1, 4
Solve 0*l + 0 - 8/5*l**2 - 2/5*l**4 + 8/5*l**3 = 0 for l.
0, 2
Let a(n) be the first derivative of -4/5*n**5 + 4*n**2 - 5 + 4*n**4 - 20/3*n**3 + 0*n. Factor a(l).
-4*l*(l - 2)*(l - 1)**2
Let i be ((-4)/(-14))/((-112)/(-294)). Determine o so that -3*o**4 + 3*o + 0 - 9/4*o**3 - i*o**5 + 3*o**2 = 0.
-2, -1, 0, 1
Let i = 152 + -152. Suppose 4*a + 5*a = i. Suppose -4/3*m**4 + 2/3*m**3 + 0*m - 2/3*m**5 + 4/3*m**2 + a = 0. What is m?
-2, -1, 0, 1
Let c(g) = 4*g - 8. Let a(r) = -r**2 + 4*r - 9. Let w = 0 - 6. Let n(x) = w*c(x) + 4*a(x). Find v, given that n(v) = 0.
-3, 1
Suppose 0 = 3*w - 2*g - 2, -52*w + 5 = -57*w - 5*g. Determine i, given that 16/11*i**4 + w - 6/11*i**5 - 8/11*i**3 + 0*i + 0*i**2 = 0.
0, 2/3, 2
Let a(f) be the third derivative of -f**9/34776 + f**7/9660 - 17*f**3/6 + 4*f**2. Let b(n) be the first derivative of a(n). Factor b(k).
-2*k**3*(k - 1)*(k + 1)/23
Let c be (-18)/63 - 60/(-14). Suppose -11*g + c*g + 4*g**4 + g - 4*g**2 + 4*g + 2*g**5 = 0. What is g?
-1, 0, 1
Let h(y) be the second derivative of 1/9*y**4 + 0 - 23*y + 1/9*y**3 - 2/3*y**2 - 1/30*y**5. Factor h(f).
-2*(f - 2)*(f - 1)*(f + 1)/3
Let m be 44/((-4)/2) + 6 + -4. Let n be m/(-11) + (-6)/(-33). Solve 0*i**n + 0*i + 6/7*i**5 + 8/7*i**4 + 0 + 2/7*i**3 = 0.
-1, -1/3, 0
Let g be (-96)/64*1/(-3). Factor r**3 - 7/4*r**2 + g*r + 1/4.
(r - 1)**2*(4*r + 1)/4
Let z be -3*((-2)/7 + 168/(-98)). Let a(l) be the second derivative of -9*l - 28/15*l**3 + 0 + 7/2*l**5 + l**4 + 5/3*l**z - 8/5*l**2. Solve a(x) = 0.
-1, -2/5, 2/5
Let h = 33 - 28. Suppose -b = 4*b - 2*z - 20, h*z + 21 = -2*b. Factor 2/3 + 2/3*i**b + 4/3*i.
2*(i + 1)**2/3
Suppose 3*f - 4*f - 16 = 5*o, -2*f = 2*o. Let h be (o - 183/(-21)) + -3. Let h + 207/7*n**2 + 12*n + 30*n**3 + 75/7*n**4 = 0. Calculate n.
-1, -2/5
Suppose -3*u + 42 = -4*x, -u = -3*u - 3*x + 11. Suppose -2*l = -7*l + u. Factor -5*t**2 + t**l + 2*t**2.
-2*t**2
Let y(u) be the second derivative of -3*u + 14/3*u**3 + 0 - 1/6*u**4 - 49*u**2. Factor y(s).
-2*(s - 7)**2
Suppose -70*n + 73*n = 6. Let p(w) be the second derivative of 0 - 1/9*w**3 + 1/3*w**n - 1/18*w**4 + 1/30*w**5 - w. Factor p(d).
2*(d - 1)**2*(d + 1)/3
Let g(j) be the third derivative of -j**6/5 - 10*j**5/3 - 57*j**4/4 + 54*j**3 - 127*j**2. Factor g(l).
-2*(2*l + 9)**2*(3*l - 2)
Suppose 8 = f + 5*m, -f - 21*m + 4 = -20*m. Let y(b) be the second derivative of 0*b**f + 1/18*b**4 - 3*b + 0 - 1/3*b**2. Determine k so that y(k) = 0.
-1, 1
Let q(x) be the third derivative of -x**8/112 + 2*x**7/35 - 7*x**5/10 + 17*x**4/8 - 3*x**3 - 151*x**2. Find i, given that q(i) = 0.
-2, 1, 3
Suppose 3*z = 8*z - 20. Let t(k) = -5*k**2 - 16*k - 11. Let v(n) = -n - 1. Let x(c) = z*v(c) + t(c). Factor x(y).
-5*(y + 1)*(y + 3)
Let o(v) be the second derivative of v**7/2520 - v**6/360 - 5*v**3 + 30*v. Let q(h) be the second derivative of o(h). Factor q(t).
t**2*(t - 3)/3
Let c(m) = -3*m**3 + m**2 + 5*m - 5. Let u(i) = -7*i**3 + 3*i**2 + 10*i - 11. Let r(j) = 5*c(j) - 2*u(j). Suppose r(x) = 0. Calculate x.
-3, 1
Let g(x) be the first derivative of 15 + 1/5*x**4 - 6/5*x**2 - 8/15*x**3 + 0*x. Solve g(z) = 0.
-1, 0, 3
Let q(b) be the second derivative of -1/4*b**4 + 1/5*b**5 - 1/30*b**6 + 0*b**3 - 6*b + 0 + 0*b**2. Solve q(c) = 0 for c.
0, 1, 3
Let 3/2*z**4 - 6*z - 3/2*z**3 - 18*z**2 + 24 = 0. What is z?
-2, 1, 4
Determine n so that -2/13*n**4 - 2/13*n**2 - 10/13*n**3 + 42/13*n + 36/13 = 0.
-3, -1, 2
Let g be (-5)/(-8) - 16/32. Let w(f) be the first derivative of -6 - g*f**2 + 0*f + 1/20*f**5 - 1/12*f**3 + 1/16*f**4. Suppose w(b) = 0. Calculate b.
-1, 0, 1
Let u(s) be the second derivative of s**7/6 - 23*s**6/30 - s**5/20 + 23*s**4/12 - s**3 - 3*s - 10. Let u(y) = 0. Calculate y.
-1, 0, 2/7, 1, 3
Let g(d) be the first derivative of -9 - 1/6*d + 1/18*d**3 + 0*d**2. Determine l so that g(l) = 0.
-1, 1
Let q(d) be the first derivative of 1/3*d**6 + 0*d**4 - d**2 - 4/3*d**3 + 4/5*d**5 + 0*d - 14. Factor q(j).
2*j*(j - 1)*(j + 1)**3
Let h be -7 + 1/((-8)/(-80)). Let r(v) be the first derivative of 3 + 0*v - 1/12*v**4 + 1/3*v**h - 1/3*v**2. Factor r(z).
-z*(z - 2)*(z - 1)/3
Factor -15 + 207*w - 24*w**2 - w**2 - 172*w + 5*w**3.
5*(w - 3)*(w - 1)**2
Let s(f) be the first derivative of f**5/10 + f**4/2 + f**3 + f**2 + f/2 + 19. Factor s(d).
(d + 1)**4/2
What is n in 2*n**2 - 75 - 473*n + 264*n - 17 + 251*n = 0?
-23, 2
Let v be 4/(-6) + (-15)/(-4 - -7) + 7. Factor -108*q**4 - 72*q**2 - v + 16*q + 144*q**3.
-4*(3*q - 1)**4/3
Let o(a) = 2*a**2 - 36*a + 12. Let b be o(18). Suppose 3*p = 3*n + 12, -p - b = -14*n + 17*n. Suppose p + 2/11*u**2 + 2/11*u = 0. Calculate u.
-1, 0
Suppose -a + d + 9 = -4*a, 2*a + 6 = 3*d. Let q be 2/((8/a)/(-4)) + -1. Factor 15 + 3/5*b**q + 6*b.
3*(b + 5)**2/5
Let r(k) be the second derivative of -k**7/21 + 8*k**6/15 + 7*k**5/10 - 25*k**4/3 - 16*k**3 + 12*k. Determine o so that r(o) = 0.
-2, -1, 0, 3, 8
Let u(j) be the third derivative of j**7/420 + j**6/180 - j**5/15 - j**4/3 - 3*j**3/2 - 13*j**2. Let l(k) be the first derivative of u(k). Factor l(d).
2*(d - 2)*(d + 1)*(d + 2)
Let -44/3 + 46/3*a - 2/3*a**2 = 0. Calculate a.
1, 22
Suppose -15 = 2*l - 25. Suppose -l*d = 2 - 2. Factor -2/5*h**3 - 4/5*h + 6/5*h**2 + d.
-2*h*(h - 2)*(h - 1)/5
Let t be (1 - 7) + (-961)/(-155). Suppose -x - 4/5*x**2 - 2/5 - t*x**3 = 0. What is x?
-2, -1
Let m be 1 + -3 + (-52)/(1*-2). What is p in -16*p + m + 24 + 12*p**2 - 44 = 0?
1/3, 1
Suppose 0 + 2/7*y**2 + 44/7*y = 0. Calculate y.
-22, 0
Let v(o) be the first derivative of 3*o**4/4 + 25*o**3 + 36*o**2 - 393. Find b such that v(b) = 0.
-24, -1, 0
Solve 36/7*b**3 + 0 - 8/7*b**2 + 0*b + 2/7*b**4 - 9/7*b**5 = 0 for b.
-2, 0, 2/9, 2
Suppose 2*i = -4*x + 4 + 4, 0 = 4*i. Solve 2*n**3 + 6*n**3 - 5*n**3 + x*n**3 + 10*n**2 = 0.
-2, 0
Let l = -157/5 + -21/10. Let c = l - -34. Determine x so that -c*x**3 - 1/2*x**4 + 3/2*x**2 - 1 + 1/2*x = 0.
-2, -1, 1
Let b be (5 - (-1260)/(-234)) + -2*3/(-6). Suppose -6/13 - 2/13*l**2 - b*l = 0. Calculate l.
-3, -1
Factor 22 + 15 + 4*j**2 + 14 + 13 + 32*j.
4*(j + 4)**2
Let t(s) be the second derivative of -8*s**6/15 - 17*s**5/5 - 16*s**4/3 - 2*s**3 + 196*s. Solve t(r) = 0 for r.
-3, -1, -1/4, 0
Suppose -5*h + 7*h = 4. Let y be (104/(-78))/(3/((-3)/2)). Find r, given that -1/3*r**h - y + r = 0.
1, 2
Factor -380 - 5*b**3 - 773545*b**2 - 270 + 773865*b**2 + 335*b.
-5*(b - 65)*(b - 1)*(b + 2)
Let h(n) be the third derivative of 0 + 19*n**2 + 1/375*n**5 + 0*n**3 - 1/4200*n**8 + 0*n**7 + 0*n**4 + 0*n + 1/500*n**6. Determine x, given that h(x) = 0.
-1, 0, 2
Suppose 100*o + 6*o**4 - o**4 - 8*o**3 - 2*o**3 + 38 - 98 - 35*o**2 = 0. What is o?
-3, 1, 2
Let d = 2058 - 2056. Factor -4/7 + 2/7*h**d + 6/7*h + 2/7*h**4 - 6/7*h**3.
2*(h - 2)*(h - 1)**2*(h + 1)/7
Let g(w) be the third derivative of -w**10/453600 + w**9/181440 - w**5/60 + w**2. Let p(s) be the third derivative of g(s). Factor p(z).
-z**3*(z - 1)/3