*3*(13*u - 3)/15
Find x, given that 4/5*x**2 - 128/5*x + 2/5*x**4 + 14/5*x**3 - 192/5 = 0.
-4, -2, 3
What is h in 18/5*h + 2/5*h**2 - 28 = 0?
-14, 5
Let v(r) = 2*r + 1. Let j be v(1). Suppose c - 2 = g, 16 = 3*c + 4. Suppose 20*b**2 - 40*b**j - 7*b**5 + g*b**5 + 5*b**4 + 20*b**4 = 0. What is b?
0, 1, 2
Suppose -y + 15 = 4*y, 3*q - 2*y = 9. Suppose 20 = q*n - n. Factor n*f**3 - 5*f**3 - f**3 + 3*f**3.
2*f**3
Let y(f) = 7*f**2 + 11*f + 19. Let c(q) = 3*q**2 + 5*q + 9. Let p(x) = 9*c(x) - 4*y(x). Let k(g) = g + 1. Let n(d) = -15*k(d) + 3*p(d). Let n(m) = 0. What is m?
-4, 0
Let p be ((-2)/(-4))/(4/176). Suppose 0 = -2*g + 2*o + p, -3*g - o + 5*o = -36. Find m such that -4*m**2 + m**2 + 4*m - 10*m**3 + 17*m**2 - g*m = 0.
0, 2/5, 1
Let a(w) be the third derivative of w**7/420 + w**6/80 + w**5/120 - w**4/16 - w**3/6 + 179*w**2. Let a(c) = 0. What is c?
-2, -1, 1
Let d be (4/2 + -3)*1. Let i be d/3 + -3 + 4. Factor 2/9*u**3 + i*u + 2/3*u**2 + 2/9.
2*(u + 1)**3/9
Let j(n) be the first derivative of -1/20*n**5 - 1 + 0*n - 5/3*n**3 - 1/180*n**6 + 0*n**4 + 0*n**2. Let g(v) be the third derivative of j(v). Factor g(f).
-2*f*(f + 3)
Let c = 290 - 290. Let z(k) be the third derivative of 0*k - 7*k**2 - 1/160*k**6 + 1/32*k**4 + 0*k**5 + 0*k**3 + c. Solve z(d) = 0 for d.
-1, 0, 1
Let s(b) = b**3 + 11*b**2 + 9*b - 3. Let o be s(-8). Factor o*h - 77*h - 4*h**4 - 56*h - 12*h**2 + 16*h**3 + 16.
-4*(h - 2)**2*(h - 1)*(h + 1)
Let l = 38 + -34. Factor -3 - 5*d**3 + 6*d**3 + 6*d**2 + 7 + l + 12*d.
(d + 2)**3
Factor -5 + 624*t**2 - 622*t**2 + 2 - 2*t + 3.
2*t*(t - 1)
Let j(k) be the second derivative of 0*k**2 + 5/42*k**7 + 5/4*k**4 + 0 + 2*k - 1/2*k**6 + 1/4*k**5 - 5/3*k**3. Factor j(s).
5*s*(s - 2)*(s - 1)**2*(s + 1)
Let d = -1095 - -1098. Let i(n) be the third derivative of 1/105*n**7 + 0*n**5 - 1/6*n**4 - 1/3*n**d + 1/30*n**6 + 0*n + 0 - 2*n**2. Factor i(s).
2*(s - 1)*(s + 1)**3
Factor 0 + 4*m**2 + 8*m + 1/2*m**3.
m*(m + 4)**2/2
Let 2*a - 2*a**3 + 86*a**2 - 73404 + 73318 + 0*a = 0. Calculate a.
-1, 1, 43
Let i(f) = -22*f**2 + 0*f + f + 24*f**2. Let m = 0 - -4. Let z(o) = -o**2. Let c(w) = m*i(w) + 10*z(w). Let c(k) = 0. What is k?
0, 2
Let o(z) = -z**2 + 4*z. Let g be o(3). Let c be 23/(-69)*(1 + -3 - -1). Find i, given that -i**g + c*i**2 + i**4 + 0 + 0*i - 1/3*i**5 = 0.
0, 1
Let n(x) be the third derivative of -x**6/60 + 13*x**5/30 - 4*x**4 + 12*x**3 - 3*x**2 - 5. Factor n(o).
-2*(o - 6)**2*(o - 1)
Let t be 6*(-6)/(-24) + (-3)/2. Factor t*r - 1/3*r**2 + 4/3.
-(r - 2)*(r + 2)/3
Let q(l) = -3*l - 12. Let u be q(-5). Let v be (-12)/78 + (-471)/(-104) + -4. Factor -1/8*i**5 + 0*i + 1/4*i**2 + v*i**u + 0*i**4 + 0.
-i**2*(i - 2)*(i + 1)**2/8
Let l(o) = -o**2 - 11*o - 23. Let q be l(-4). Let k(p) be the second derivative of 1/21*p**3 + 0 + 1/70*p**q + 0*p**2 - 5*p + 1/21*p**4. Factor k(d).
2*d*(d + 1)**2/7
Suppose 0 = 2*r + 4*d - 110, -3*d = 5*r - 86 - 154. Let u be (2/(-12))/((-10)/r). Let -3/2 + 11/4*x - u*x**2 = 0. Calculate x.
2/3, 3
Let x(j) be the second derivative of -2*j**7/7 + 8*j**6/15 - 7*j - 6. Factor x(t).
-4*t**4*(3*t - 4)
Suppose 5*d - 25 = 0, -5*x - d + 4*d = 0. Let p = 45 + -43. Factor x*l + 13*l + 4 + 10*l**2 - p*l.
2*(l + 1)*(5*l + 2)
Let d(r) be the first derivative of -2*r + 5/3*r**3 - 1 + 3/2*r**2. Factor d(x).
(x + 1)*(5*x - 2)
Find j, given that 15*j - 6 + 7869*j**2 - 2 - 6 - 7870*j**2 = 0.
1, 14
Let l(a) be the second derivative of -25*a - 1/6*a**3 - 3/5*a**2 - 1/60*a**4 + 0. Let l(g) = 0. Calculate g.
-3, -2
Let q = -85 + 88. Factor -3*f**q + 134*f - 2 + 2*f**3 - 133*f + 2*f**2.
-(f - 2)*(f - 1)*(f + 1)
Suppose -3*p + i = 4, 3*i - 6 = 6. Suppose 4*d**4 - 8*d**5 + 0*d**4 - 4*d**5 - 4*d**2 + p*d**2 + 12*d**3 = 0. Calculate d.
-1, 0, 1/3, 1
Let g = 1760 - 1744. Let u(i) be the first derivative of 1 - g*i - 8*i**2 - 4/3*i**3. Determine q, given that u(q) = 0.
-2
Let f(d) be the first derivative of -3/10*d**6 + 0*d**4 + 0*d**2 - 23 + 0*d - 6/25*d**5 + 0*d**3. Find z such that f(z) = 0.
-2/3, 0
Suppose 12*w - 68 = -1208. Let c = -93 - w. Let -10/7*p**c + 2/7*p**3 - 6/7 + 2*p = 0. Calculate p.
1, 3
Let r = -770 + 774. Let t(x) be the third derivative of 0*x**4 + 0*x**5 + 0*x + 1/210*x**6 + 0 - r*x**2 + 0*x**3 + 1/147*x**7. Find d, given that t(d) = 0.
-2/5, 0
Factor 75*a**2 + 4*a + 64*a + 8 + 37*a**2 + 36*a**2 + 88*a**3.
4*(a + 1)*(2*a + 1)*(11*a + 2)
Let x = 41 + -119/3. Let h be (10/(-3))/(22/(-33)) + -3. Solve -x*c - 2 + 2/3*c**h = 0 for c.
-1, 3
Let b be -1 + (-30)/4*42/(-63). Let v(j) be the second derivative of 1/12*j**b - j**3 + 9/2*j**2 - 3*j + 0. Factor v(k).
(k - 3)**2
Let u = 922651 - 788866813/855. Let f = -2/95 - u. Factor 2/9 + 4/9*v + f*v**2.
2*(v + 1)**2/9
Let i be (-6)/27*3*-3. Let h(f) = 6*f**3 + f**2 - f + 1. Let j be h(i). Solve -32*u - 28*u**2 + 13 - 3*u**3 - u**3 + j = 0 for u.
-4, 1
Let j(h) = -h**2 - 1. Suppose -11*m = 8*m - 19. Let x(t) = 2*t**2 + 28*t + 197. Let w(u) = m*x(u) + j(u). Factor w(g).
(g + 14)**2
Let x be -9 - (6 - 644/42). Factor -x*h**2 - 4/3*h - 4/3.
-(h + 2)**2/3
Let q(p) be the second derivative of -p**6/1800 + p**4/120 - 5*p**3/6 + p. Let c(k) be the second derivative of q(k). What is b in c(b) = 0?
-1, 1
Suppose 33 = 2*o - 19. Let h(g) = -g**3 + 2*g**2 + 3*g + 3. Let z(m) = 4*m**3 - 9*m**2 - 13*m - 13. Let r(t) = o*h(t) + 6*z(t). Factor r(w).
-2*w**2*(w + 1)
Let s(d) be the first derivative of 20 - 8/7*d**3 - 12/7*d - 15/7*d**2 - 3/14*d**4. Factor s(w).
-6*(w + 1)**2*(w + 2)/7
Let y(l) be the third derivative of -1/20*l**5 + 25*l**2 + 5/8*l**4 - 1/40*l**6 + 0 + 0*l - 3/2*l**3. Factor y(x).
-3*(x - 1)**2*(x + 3)
Let k(j) be the second derivative of 1/90*j**6 + 0 + 1/30*j**5 - 4/9*j**3 - 2/3*j**2 + 19*j - 1/12*j**4. Determine c so that k(c) = 0.
-2, -1, 2
Let c(u) be the third derivative of 1/96*u**6 + 0*u**3 + 0 + 10*u**2 + 0*u - 5/96*u**4 - 1/168*u**7 + 1/48*u**5. Let c(r) = 0. What is r?
-1, 0, 1
Let i(d) be the first derivative of d**5/6 + 25*d**4/24 - 5*d**3/6 - 85*d**2/12 - 25*d/3 + 88. Factor i(j).
5*(j - 2)*(j + 1)**2*(j + 5)/6
Let a = -3/197 + 803/985. Let g = 3 + -3. Find i such that g - 2/5*i**3 - a*i**2 + 0*i = 0.
-2, 0
Let n be 1 + 4 + 681/(-192). Let u = n + 3/64. Factor -9/2*d**2 + 3 + 3/2*d**4 + u*d - 3/2*d**3.
3*(d - 2)*(d - 1)*(d + 1)**2/2
Factor 0 - 28*a**2 + 294*a + 2/3*a**3.
2*a*(a - 21)**2/3
Let l(t) = t**2 + t - 1. Let h(u) = -4*u**2 + 3. Let z be (-2)/(-6) + 4/6. Let j = -227 - -230. Let q(n) = j*l(n) + z*h(n). Let q(r) = 0. What is r?
0, 3
Let d = -30 - -31. Suppose 0 = 2*g - d - 3. Factor 0 - 4*v**g + 0 + 4*v**3 + 9 - 5 - 4*v.
4*(v - 1)**2*(v + 1)
Let r(t) be the first derivative of -4*t**5/5 - t**4 + 4*t**3 + 10*t**2 + 8*t - 242. Factor r(d).
-4*(d - 2)*(d + 1)**3
Let h = -12 + 12. Let m be 4/12*(6 + h). What is u in m + 5*u**3 + 5*u**3 - 3*u - 9*u**3 = 0?
-2, 1
Let t(n) be the second derivative of -n**5/140 - 4*n**4/21 - 13*n**3/42 + 15*n**2/7 - 9*n + 33. Factor t(y).
-(y - 1)*(y + 2)*(y + 15)/7
Let h(u) be the third derivative of u**8/6720 + u**7/336 + u**6/60 - 13*u**5/30 - 27*u**2. Let w(o) be the third derivative of h(o). Factor w(i).
3*(i + 1)*(i + 4)
Let v(j) be the first derivative of j**5/20 - 13*j**4/8 + 25*j**3/12 + 174. Factor v(r).
r**2*(r - 25)*(r - 1)/4
Let x(j) be the first derivative of -27 - 9/10*j**4 + 2/5*j**3 + 0*j**2 + 0*j - 24/25*j**5. Determine k so that x(k) = 0.
-1, 0, 1/4
What is l in -3*l**5 - 65*l**3 + 35*l**3 - 14*l**4 - 19*l**4 = 0?
-10, -1, 0
Let p(q) be the third derivative of 2*q**7/35 + q**6/3 + 4*q**5/5 + q**4 + 2*q**3/3 - 3*q**2 - 2*q. Let p(v) = 0. What is v?
-1, -1/3
Let b = -20 + 44. Suppose 0 = 4*j + 5*g + 8, -2*j + b = -4*g + 2. Factor -80*v**4 - 2*v**2 - 2*v**j + 82*v**4 + v + 2*v**3 - v**5.
-v*(v - 1)**3*(v + 1)
Let b(o) be the second derivative of -o**4/3 - 16*o**3/3 + 18*o**2 + 51*o. Factor b(c).
-4*(c - 1)*(c + 9)
Let a(c) be the third derivative of 0 + 0*c - 3/40*c**5 + c**2 - 1/2*c**3 + 5/16*c**4. Factor a(f).
-3*(f - 1)*(3*f - 2)/2
Factor 31596*n**2 - n - 4*n**3 - 31604*n**2 - 3*n.
-4*n*(n + 1)**2
Let p be -1*(-45)/(-20) + 3 - (-7 + 7). Factor -p*r**2 - 1/2*r**3 + 1/2*r + 0 + 3/4*r**4.
r*(r - 1)*(r + 1)*(3*r - 2)/4
Let s be ((-132)/(-12) - 11)/(-2). Let n(z) be the first derivative of 0*z**2 - 3/2*z**4 - 28/5*z**5 + 12 + 4/3*z*