4 - 26*x**2 + 17*x**u + 4*x = 0.
-1, 0, 2/9, 1
Suppose 82 = -11*f - 28. Let p be 5/f + 26*2/72. Solve 2/9*a**3 + 4/9*a**2 + 0 - p*a**4 + 0*a = 0.
-1, 0, 2
Let f(p) be the first derivative of 4*p**2 + 8/3*p - 14/9*p**3 - 24. Let f(r) = 0. What is r?
-2/7, 2
Let n(k) be the second derivative of k + 0 - 4*k**2 + 4/3*k**3 - 1/6*k**4. Solve n(o) = 0.
2
Let i(x) be the second derivative of -x**4/4 - 99*x**3 - 591*x**2/2 - 727*x. Factor i(o).
-3*(o + 1)*(o + 197)
Let y(q) = 7*q**5 + q**4 + 2*q**2 - q + 3. Let z(b) = 12*b**5 + 2*b**4 - b**3 + 3*b**2 - b + 5. Let c(r) = -5*y(r) + 3*z(r). Factor c(g).
g*(g - 1)**2*(g + 1)*(g + 2)
Let -2/7*f**3 - 38/7*f**2 - 36/7*f + 0 = 0. What is f?
-18, -1, 0
Factor 160/7*y + 76/7*y**2 + 16/7.
4*(y + 2)*(19*y + 2)/7
Factor -27/5*p - 3/5*p**2 + 66/5.
-3*(p - 2)*(p + 11)/5
Let b(q) be the first derivative of q**3/3 + 63*q**2/2 + 180*q + 736. Suppose b(a) = 0. Calculate a.
-60, -3
Let x(o) be the first derivative of o**3/3 + 188*o**2 + 35344*o + 124. Factor x(i).
(i + 188)**2
Let n(q) = 12 + 13*q - 2*q**2 + 14 - 19. Let k be n(7). Solve k*g + 4/17*g**5 + 6/17*g**4 + 0 + 0*g**3 - 2/17*g**2 = 0.
-1, 0, 1/2
Suppose -5*h - 165 = -165. Let u(d) be the third derivative of -4*d**2 + 0*d - 1/4*d**4 - 1/40*d**6 - 3/20*d**5 + 0*d**3 + h. Factor u(g).
-3*g*(g + 1)*(g + 2)
Suppose -5 = 5*h + n + 4*n, -5*h - 4*n = 3. Let w = 3 + h. Factor -9*x**w + 6*x**2 + 6*x**2 + 13*x**4 - 6*x**4 + 16*x + 6.
-2*(x - 3)*(x + 1)**3
Let -85 - y**3 - y - 15*y**2 + 85 - 2*y + 19*y**2 = 0. Calculate y.
0, 1, 3
Let m(d) be the third derivative of 93*d**5/10 + 20*d**4/3 + 4*d**3/3 + 34*d**2 + 3*d. Let m(i) = 0. Calculate i.
-2/9, -2/31
Suppose 2/15*r**2 + 0*r - 2/15*r**5 + 2/15*r**3 - 2/15*r**4 + 0 = 0. Calculate r.
-1, 0, 1
Let z(p) be the second derivative of p**4/24 - 7*p**3/12 - 2*p**2 + 37*p - 3. Factor z(c).
(c - 8)*(c + 1)/2
Let -8/17*l - 42/17 + 2/17*l**2 = 0. What is l?
-3, 7
Factor 26/7*s - 12/7 - 4/7*s**2.
-2*(s - 6)*(2*s - 1)/7
Let h(t) be the first derivative of -2*t**5 - 53*t**4/2 + 44*t**3/3 - 303. Factor h(q).
-2*q**2*(q + 11)*(5*q - 2)
Suppose 4*o + 2*l = -0*l, -o = 2*l + 6. Find d, given that -5 + 104*d**2 + 2*d**3 - 102*d**o + 5 = 0.
-1, 0
Let v be (940/12)/((-39)/99). Let r = v + 199. Find p such that 2/13*p + 0 + r*p**3 - 4/13*p**2 = 0.
0, 1
Let u(p) = p - 10. Let z(i) = 10*i + 2. Let h be z(1). Let w be u(h). Determine g so that -18/13*g**w - 4/13 + 22/13*g = 0.
2/9, 1
Let r(w) = -w**3 + 16*w**2 - 29*w + 15. Let i be r(14). Suppose -3*c + v = -3, 4*v = i - 13. Factor 2/3*q**2 - 4/3*q**3 + c*q - 14/3*q**4 - 8/3*q**5 + 0.
-2*q**2*(q + 1)**2*(4*q - 1)/3
Let l(u) be the third derivative of -21*u**8/8 + 59*u**7/5 - 215*u**6/12 + 67*u**5/10 + 6*u**4 + 4*u**3/3 - 311*u**2. Suppose l(z) = 0. Calculate z.
-2/21, 1
Let y(o) = 44*o - 1056. Let c be y(24). Factor -3/5*q**2 + c*q + 0 + 3/5*q**3.
3*q**2*(q - 1)/5
Solve 22/5*i**2 + 2*i + 6/5*i**3 - 6/5 = 0 for i.
-3, -1, 1/3
Let c = 7501/9345 + -5/1869. Factor 24/5 - 24/5*b**2 + c*b**3 - 4/5*b.
4*(b - 6)*(b - 1)*(b + 1)/5
Let 24/5 - 22/5*p - 2/5*p**2 = 0. Calculate p.
-12, 1
Let u be 0 + (3/9)/(-1) + 90/108. Suppose -u*q**3 + 9/2 + 11/2*q**2 - 19/2*q = 0. What is q?
1, 9
Let b(f) = -4*f + 10. Let w be b(1). Let 33*s + 21 - w*s - 52*s - 1 + 5*s**2 = 0. What is s?
1, 4
Find o such that -39*o**4 - 406*o + 346*o + 213*o**2 + 0*o**4 + 105*o**3 + 99*o**2 + 6*o**4 = 0.
-2, 0, 2/11, 5
Let c(y) = -y**4 + 14*y**3 - 101*y**2 + 196*y + 4. Let t(l) = -l**3 + l**2 + 1. Let r(n) = c(n) - 4*t(n). Find a, given that r(a) = 0.
0, 4, 7
Let u be (-4)/(-6) - (35/21 + -3). Factor -66*y**u - 15*y**4 - 21*y**3 - 69*y**2 + 129*y**2.
-3*y**2*(y + 1)*(5*y + 2)
Let g(o) be the second derivative of -o**5/40 - 7*o**4/8 + 2*o**3 + 11*o**2 - 45*o. Determine t, given that g(t) = 0.
-22, -1, 2
Suppose -4*o - r + 89 = 83, -r - 8 = -3*o. Factor 27/4*c + 3/4*c**3 + 3 + 9/2*c**o.
3*(c + 1)**2*(c + 4)/4
Let n(q) be the third derivative of 5*q**8/504 - q**7/45 + q**6/90 - 3*q**2 - 15. Factor n(o).
2*o**3*(o - 1)*(5*o - 2)/3
Suppose 8/17 - 2/17*k**2 - 6/17*k = 0. Calculate k.
-4, 1
Let b(a) be the first derivative of 3*a**4/16 + 5*a**3/4 - 115. Solve b(j) = 0 for j.
-5, 0
Let c(v) = v**3 - 17*v**2 + 6. Let y be c(17). Let k(a) be the second derivative of 0 + 2/7*a**2 + 0*a**4 - 1/7*a**3 + y*a + 1/70*a**5. Factor k(i).
2*(i - 1)**2*(i + 2)/7
Let k(r) = -8*r**4 - 4*r**3 + 5*r**2 + 7*r + 6. Let q(p) = -16*p**4 - 8*p**3 + 9*p**2 + 15*p + 14. Let w(d) = 7*k(d) - 3*q(d). Factor w(c).
-4*c*(c - 1)*(c + 1)*(2*c + 1)
Let m be 20/(-12)*(-2 + -1). Suppose 7*v = 3 + 18. Solve 8*x + m*x**3 - 55*x**3 + v*x**2 + 50*x**4 - 11*x**2 = 0.
-2/5, 0, 2/5, 1
Suppose 3*t + 13 = 5*a, 2*a - t - 18 = -3*t. Let g = 9 - a. Factor 0 + 1/4*s + 5/4*s**2 + 7/4*s**g + 1/2*s**5 + 9/4*s**3.
s*(s + 1)**3*(2*s + 1)/4
Factor 0*v + 1/4*v**5 - 3*v**3 + 0 + v**4 + 0*v**2.
v**3*(v - 2)*(v + 6)/4
Let d(i) = 2*i**3 - 98*i**2 - 99*i - 47. Let s be d(50). Factor -s - 9/2*k**2 - 15/2*k.
-3*(k + 1)*(3*k + 2)/2
Let m(l) = -2*l**4 - l**2 - l. Let s(t) = t**4 + 9*t**3 - t**2 - 7*t + 6. Let o(d) = -2*m(d) - s(d). Let o(c) = 0. Calculate c.
-1, 1, 2
Let g(u) be the third derivative of -u**6/60 + 11*u**5/180 - u**4/18 - 13*u**3/2 + 34*u**2. Let l(x) be the first derivative of g(x). Let l(o) = 0. Calculate o.
2/9, 1
Find f such that 16/7*f - 4/7*f**3 + 0 + 0*f**2 = 0.
-2, 0, 2
Let i(v) be the third derivative of v**5/60 - v**4/12 - 4*v**3/3 + 281*v**2. Let i(h) = 0. What is h?
-2, 4
Let q be -2 - 1 - ((-861)/5 - -3). Let k = q - 163. Factor k + 54/5*j**5 + 268/5*j**2 + 104/5*j + 342/5*j**3 + 216/5*j**4.
2*(j + 1)**2*(3*j + 2)**3/5
Let b(p) be the third derivative of -3*p**2 + 0*p + 1/24*p**4 + 1/10*p**5 + 3/40*p**6 + 0 + 0*p**3. Suppose b(l) = 0. What is l?
-1/3, 0
Let p(i) be the third derivative of i**5/90 - i**4/18 - 8*i**3/9 - 17*i**2 - 10. Let p(t) = 0. Calculate t.
-2, 4
Suppose -3*j = 3*k - 18, -4*k - 4*j = j - 25. Let a be (-4)/(-7) + (-50)/(-35). Factor -2*u**4 - 3 + a*u**k + 1 + 2*u + 4*u**2 - 8*u**3 + 4*u**3.
2*(u - 1)**3*(u + 1)**2
Let 12*k + 3/2*k**2 - 24 - 3/4*k**3 = 0. Calculate k.
-4, 2, 4
Let q(u) be the first derivative of -1/15*u**3 - 36 + 4/5*u**2 + 9/5*u. Let q(y) = 0. Calculate y.
-1, 9
Let m(y) = -y**3 - 6*y**2 - 2*y. Let v be m(-6). Suppose w - v = -2*w. Factor b**4 - 3*b**w + 2*b**2 + 0*b**4.
-2*b**2*(b - 1)*(b + 1)
Let f(l) = 8*l**4 - 8*l**3 - 2*l**2 + 10*l - 2. Let i(d) = -d**5 - 8*d**4 + 8*d**3 + d**2 - 10*d + 1. Let k(n) = 3*f(n) + 2*i(n). What is j in k(j) = 0?
-1, 1, 2
Let k(d) be the second derivative of 0*d**2 + 0 + 9*d + 1/5*d**5 - 2/15*d**6 + 0*d**3 + 2/3*d**4. Determine z so that k(z) = 0.
-1, 0, 2
Factor -6 - 5*t + 23 - t - 7 - 2 - 2*t**2.
-2*(t - 1)*(t + 4)
Let f = -1173 + 1175. Factor 4/21*q - 2/7*q**f + 0 + 2/21*q**3.
2*q*(q - 2)*(q - 1)/21
Let l(z) be the third derivative of -z**7/105 + 7*z**6/60 + z**5/15 - 5*z**4 + 24*z**3 + 28*z**2 + 3*z. Factor l(r).
-2*(r - 6)*(r - 2)**2*(r + 3)
Let d(m) = m**3 + 8*m**2 - 7*m + 18. Let y be d(-9). Suppose -2*l - l**2 + y + l + 0*l + 6 = 0. What is l?
-3, 2
Let o(u) be the first derivative of 1/2*u**3 + 20 - 1/2*u**2 + 0*u - 1/8*u**4. Factor o(x).
-x*(x - 2)*(x - 1)/2
Let b(o) = 2*o + 3. Let c be b(1). Factor 24*j**2 - 9 + 4*j**c + 6*j**4 - 7*j**3 + 1 + 6*j + 2*j**2 - 27*j**3.
2*(j - 1)**3*(j + 4)*(2*j + 1)
Factor 2/9*y**3 + 4/3 + 22/9*y + 4/3*y**2.
2*(y + 1)*(y + 2)*(y + 3)/9
Let h(x) be the second derivative of x**5/25 - 2*x**3/15 + 164*x. Solve h(a) = 0 for a.
-1, 0, 1
Let m(u) be the second derivative of -u**4/6 + 11*u**3/3 + 61*u - 2. Factor m(l).
-2*l*(l - 11)
Let w(g) = 2*g + 44. Let n be w(-21). Suppose 5*p - n*s + 4*s = -4, 0 = -s - 2. Factor p - 4/7*i**4 + 0*i**3 + 8/7*i + 12/7*i**2.
-4*i*(i - 2)*(i + 1)**2/7
Let b(p) be the third derivative of p**5/360 - 4*p**3/9 + 3*p**2 + 10. Factor b(u).
(u - 4)*(u + 4)/6
Suppose 16/5*n**2 + 0 - 24/5*n - 2/5*n**4 + 2*n**3 = 0. Calculate n.
-2, 0, 1, 6
Determine m, given that -16*m**2 - 63*m**3 - 89*m**4 - 2*m**5 + 99*m**4 + 59*m**3 = 0.
-1, 0, 2, 4
Let u(f) be the first derivative of f**5/30 - 4*f**4/3 + 64*f**3/3 + 3*f**2 - 27. Let g(z) be the second derivative of u(z). Factor g(j).
2*(j - 8)**2
Let k = -551249/525 - -1050. Let z(b) be the third derivative of k*b