1, 0, 2
Let r be (-467)/(-9) + 9/81. Let 4 - 4*u**4 - r*u**2 + 48*u + 24*u**3 - 11 - 9 = 0. What is u?
1, 2
Let c(h) be the second derivative of h**6/10 + 6*h**5/5 + 13*h**4/4 + 3*h**3 + 17*h. Solve c(j) = 0 for j.
-6, -1, 0
Suppose 2*a = 8*a - 24. Let v = 3123 + -18689/6. Let 0*d + 0 - 4*d**3 + 7/2*d**a + 2/3*d**2 + v*d**5 = 0. Calculate d.
-1, 0, 2/7
Let i be (31 - 31)/(1*3). Let s(n) be the third derivative of -5*n**2 + 3/8*n**4 + 0 + i*n + 1/2*n**3 - 7/80*n**5. Determine k so that s(k) = 0.
-2/7, 2
Let h(v) be the third derivative of 0*v - 1/6*v**4 + 4/21*v**3 - 3/35*v**5 + 14*v**2 + 0. Let h(a) = 0. Calculate a.
-1, 2/9
Let f(i) be the third derivative of 0*i**5 + 7*i**2 + 0*i**4 + 0*i + 0*i**6 + 0*i**3 - 1/70*i**7 + 0. Factor f(g).
-3*g**4
Determine o, given that 7*o**4 - 16 - 8*o**3 + 32*o - 12*o**2 + 7*o**4 - 20*o**4 + 10*o**4 = 0.
-2, 1, 2
Let i be 585/(-63) - -9 - (-90)/21. Find z such that 0 + 4/5*z**3 + 16/5*z - i*z**2 = 0.
0, 1, 4
Let i(n) = n + 6. Let a be i(0). Let k(b) = -b**3 - b**2 - b - 1. Let x(l) = -27*l**3 + 9*l**2 - 6. Let z(g) = a*k(g) - x(g). Find q such that z(q) = 0.
-2/7, 0, 1
Let a = -2206/7 + 316. Let -a*o**2 - 4/7*o**3 + 4/7 + 6/7*o = 0. What is o?
-2, -1/2, 1
Suppose -65*d = -153*d + 176. Determine h so that -3/4 + 0*h + 3/4*h**d = 0.
-1, 1
Let d(z) = -7*z**2 + 51*z + 88. Let n(a) = 25*a**2 - 203*a - 352. Let b(t) = -22*d(t) - 6*n(t). Factor b(k).
4*(k + 2)*(k + 22)
What is b in -1/2 + b - 1/2*b**2 = 0?
1
Factor -1/6*t**2 - 1/3*t + 0 + 1/6*t**3.
t*(t - 2)*(t + 1)/6
Let n(v) be the first derivative of -3*v**5/5 + 9*v**4 - 32*v**3 - 72*v**2 + 432*v - 77. Factor n(y).
-3*(y - 6)**2*(y - 2)*(y + 2)
Determine o, given that 38*o**3 - 24 + 47*o**3 - 17*o**3 + 32*o**3 - 14*o**4 - 12*o**3 - 178*o**2 + 128*o = 0.
2/7, 1, 2, 3
Let y(j) = 2*j**2 + j + 2. Let p(r) = -13*r**2 - 21*r + 10. Let f(i) = -4*p(i) - 28*y(i). Factor f(l).
-4*(l - 12)*(l - 2)
Let b(n) be the second derivative of n**5/150 - n**4/18 + 2*n**3/15 + 461*n. Suppose b(r) = 0. What is r?
0, 2, 3
Factor 0*m**3 + m**2 - 5*m**2 - 3*m**2 + 4*m - m**2 + 4*m**3.
4*m*(m - 1)**2
Let i(t) be the first derivative of 5*t**3/3 - 30*t**2 + 175*t + 756. Solve i(u) = 0.
5, 7
Let a(s) = -s**3 + 8*s**2 + 10*s. Let r be a(9). Let g be (-1)/(-2) + r/6. Factor n**4 - 2 - g*n**2 + 2 + 0 + 1.
(n - 1)**2*(n + 1)**2
Let y(l) = l**2. Let i be -1 + 3 + 16 + -48. Let r(s) = -10*s**2 - 35*s - 10. Let b(m) = i*y(m) - r(m). Factor b(k).
-5*(k - 2)*(4*k + 1)
Let p be (-15*(-14)/(-105))/(-2 + 1). Factor m - m**4 + 1/3 - 1/3*m**5 + 2/3*m**p - 2/3*m**3.
-(m - 1)*(m + 1)**4/3
Let v(j) be the second derivative of -3*j**5/40 + 45*j**4/8 - 20*j + 5. Factor v(x).
-3*x**2*(x - 45)/2
Factor -3*y**2 - 105/4*y + 27/4.
-3*(y + 9)*(4*y - 1)/4
Let g(s) = s**2 - 134*s + 4236. Let p be g(83). Factor 7/6*v**5 + 23/6*v**4 + 13/6*v**2 + 1/3*v + 0 + 9/2*v**p.
v*(v + 1)**3*(7*v + 2)/6
Let f(l) = 34*l + 21. Let i be f(3). Let w = -123 + i. Factor -2/9*x**4 + 0*x + 1/9*x**3 + 0 + 1/9*x**5 + w*x**2.
x**3*(x - 1)**2/9
Solve -4 - 2/3*m**3 + 14/3*m + 0*m**2 = 0 for m.
-3, 1, 2
Let h(l) be the first derivative of 2*l**5/45 + 19*l**4/18 + 160*l**3/27 - 100*l**2/9 - 17. What is q in h(q) = 0?
-10, 0, 1
Suppose 6*q + 40 = q. Let u be (-12)/(-26)*q/(-12). Factor 6/13*c**4 + 0*c + u*c**3 + 0*c**2 + 0.
2*c**3*(3*c + 2)/13
Suppose -c = 5*q - 7, 8 - 9 = -3*c + 5*q. Factor 0 + 0*i + 2/5*i**3 - 2/5*i**c.
2*i**2*(i - 1)/5
Let c(a) = -20*a + 162. Let z be c(8). Let n(k) be the second derivative of 1/12*k**4 - 7*k + 0 - 1/40*k**5 + 0*k**z - 1/12*k**3. Factor n(t).
-t*(t - 1)**2/2
Let w(g) be the first derivative of -2*g**3/21 - 23*g**2/7 + 258. Solve w(h) = 0.
-23, 0
Let k(j) be the second derivative of -j**5/20 - j**4/3 + j**3/6 + 2*j**2 + 132*j. What is h in k(h) = 0?
-4, -1, 1
Factor 186 + 554 - 130*x - 6 + 5*x**2 + 111.
5*(x - 13)**2
Let s(j) be the first derivative of -j**4 + 40*j**3/3 - 14*j**2 - 72*j + 87. Factor s(g).
-4*(g - 9)*(g - 2)*(g + 1)
What is d in -3/5*d**2 + 9 - 6/5*d = 0?
-5, 3
Let i(m) be the third derivative of 11*m**2 + 0*m + 3/10*m**3 - 1/10*m**4 + 0 + 1/100*m**5. Factor i(p).
3*(p - 3)*(p - 1)/5
Let c(i) = 13*i. Let q be c(0). Let u(g) be the third derivative of 0*g + q + 0*g**4 - 2/9*g**3 + 1/60*g**5 - 1/360*g**6 + 6*g**2. Let u(o) = 0. Calculate o.
-1, 2
Let x(o) be the first derivative of -32/9*o**2 - 8/3*o - 10/27*o**3 - 17. Let x(a) = 0. What is a?
-6, -2/5
Suppose -5*s + 2*y - 9 + 84 = 0, 29 = 2*s - y. Factor -3*v - 12*v**3 + 8*v + 11*v - s*v**4 + 13*v**4.
-4*v*(v - 1)*(v + 2)**2
Suppose -25*r - 18*r = -86. Let y(c) be the second derivative of -1/24*c**4 + 0*c**r + 0*c**3 + 0 + 11*c. Find t such that y(t) = 0.
0
Factor 31*g + 64 - 1/2*g**2.
-(g - 64)*(g + 2)/2
Let z be (-4)/(-10) - 1/(-35). Let c be (-3)/(42/4) - (-50)/70. Factor 0*x - c*x**4 + z*x**3 + 0 + 0*x**2.
-3*x**3*(x - 1)/7
Let a(z) be the third derivative of z**7/70 + 3*z**6/20 - z**5 - 3*z**4 + 32*z**3 + z**2 - 38*z. Factor a(r).
3*(r - 2)**2*(r + 2)*(r + 8)
Let o be 12/(-15) + 3 + (-282)/210. Let m be 20/(-175) + 4/10. Suppose -o*f - 4/7 - m*f**2 = 0. Calculate f.
-2, -1
Let v be 5 - (-2 + 2) - 2. Suppose -3*w + 1 = -q, 5*q + 12*w - 33 = 8*w. Determine b so that -4*b**2 + 4 - 2*b**3 - q*b**2 + 8 + 5*b**v = 0.
-1, 2
Let y(c) be the second derivative of c**7/315 + 7*c**6/180 + c**5/10 + 5*c**4/6 - 5*c. Let g(n) be the third derivative of y(n). Let g(j) = 0. Calculate j.
-3, -1/2
Let s(i) be the first derivative of -2*i**3/3 - 25*i**2 + 52*i + 323. Determine m, given that s(m) = 0.
-26, 1
Let v(i) be the first derivative of -2*i**3/27 + 104*i**2/9 - 5408*i/9 + 204. Determine g, given that v(g) = 0.
52
Let y(a) = 36*a**2 + 48*a - 115. Let r(z) = 29*z**2 + 49*z - 114. Let n(p) = -5*r(p) + 4*y(p). Factor n(h).
-(h - 2)*(h + 55)
Suppose -89*n**2 + 5*n**3 + 934*n**2 - 7219 - 34156 + 40381*n - 5106*n + 5250 = 0. Calculate n.
-85, 1
Let g(l) = l**3 + 7*l**2 + 3*l - 15. Let o be g(-6). Suppose -h - 1 = -3*q, 3*q - o*h = q - 11. Let 1/3*a**q + 0 - 1/3*a = 0. What is a?
0, 1
Suppose 19*u = 22*u - 24. Suppose 2*t + 4 = u. Solve 0 + 2*j - 10/3*j**t = 0 for j.
0, 3/5
Let a = -62 + 48. Let u be ((-8)/a)/((-190)/(-35) - 5). Let u*y**2 + 0 - 4/3*y - 1/3*y**3 = 0. What is y?
0, 2
Let i = 252/685 - 23/137. Find j such that -1/5*j**2 + 2/5*j - i = 0.
1
Let f be 2 - (438/(-30) - 2/5). Factor -19*x**2 - x + 2 - f*x - x**2.
-2*(x + 1)*(10*x - 1)
Let b be 6 - 4 - 3 - (-2 + -2). Factor 3*n**4 - 2*n**3 - n**3 - 6*n**b.
3*n**3*(n - 3)
Let b(w) be the third derivative of -9*w**5/20 - 53*w**4/12 + 4*w**3/3 - 9*w**2 - 1. Let b(y) = 0. What is y?
-4, 2/27
Let b(h) = -443*h - 2215. Let o be b(-5). Let c be (-2)/(-5) - (-24)/15. Factor -2/3*l - 1/3*l**c + o.
-l*(l + 2)/3
Suppose -6*t - 20 = 4. Let i be t + -3*(-84)/54. Solve 0*a**2 + 0 + 0*a + i*a**4 + 2*a**3 = 0.
-3, 0
Let q(f) be the second derivative of f**8/336 - f**6/120 - 5*f**2/2 - 2*f. Let y(x) be the first derivative of q(x). Factor y(g).
g**3*(g - 1)*(g + 1)
Let c(w) be the third derivative of -w**8/2688 - w**7/840 + w**6/480 + w**5/120 - w**4/192 - w**3/24 + 452*w**2. Determine m so that c(m) = 0.
-2, -1, 1
Let h(g) be the third derivative of -1/630*g**7 + 1/18*g**3 + 0*g + 0*g**5 + 1/180*g**6 - 1/36*g**4 + 0 - 9*g**2. Let h(c) = 0. What is c?
-1, 1
Determine x so that 0*x - 4/11*x**4 + 0*x**2 + 2/11*x**5 + 0 + 2/11*x**3 = 0.
0, 1
Let v(f) be the second derivative of f**7/1050 - f**6/600 - f**5/300 + f**4/120 - f**2/2 + 10*f. Let x(m) be the first derivative of v(m). Factor x(k).
k*(k - 1)**2*(k + 1)/5
Let a = 6 - 3. Suppose -5*u = -5*m + 20, 3*m = -a*u + 4*u + 14. Factor -1 - m*i**2 + 2*i + 2*i**2 + 2*i**2.
-(i - 1)**2
Let j(f) be the second derivative of -16*f**6/45 - 4*f**5 - 17*f**4/2 - 55*f**3/9 - 2*f**2 - 79*f + 2. Determine t, given that j(t) = 0.
-6, -1, -1/4
Let s(p) be the third derivative of -8/1575*p**7 - 1/150*p**6 + p**2 + 0*p + 0*p**3 - 1/840*p**8 + 0*p**5 + 1/180*p**4 + 0. Factor s(f).
-2*f*(f + 1)**3*(3*f - 1)/15
Let g = 7966 + -7964. What is s in -3/4*s**3 + 0 + 3/4*s**g + 3/2*s = 0?
-1, 0, 2
Let r(j) be the first derivative of j**5/12 + 5*j**4/24 - 5*j**3/3 + 2*j**2 + 24. Let g(l) be the second derivative of r(l). Let g(h) = 0. What is h?
-2, 1
Let z(l) be the first derivative of 4*l**5/3