**2
Let g(n) = 2*n**4 + 4*n**3 - 11*n**2 - 13*n - 3. Let u(p) = p**2 - p + 1. Let v(b) = -g(b) - 3*u(b). Find z such that v(z) = 0.
-2, 0, 2
Let o be 6/(-6)*132/30 - (3 + -8). Factor o*t - 2/5 - 1/5*t**3 + 0*t**2.
-(t - 1)**2*(t + 2)/5
Determine i, given that 554*i**2 - 4*i - 551*i**2 - 33 - 14*i - 12*i = 0.
-1, 11
Let s be ((8/10)/(252/(-90)))/(1/(-14)). Find z such that 0*z**2 - 2/11*z**5 + 8/11*z**s + 0*z + 10/11*z**3 + 0 = 0.
-1, 0, 5
Determine d, given that -27*d**3 - 112879*d + 5950*d + 24*d**3 + 981*d**2 + 3885087 = 0.
109
Let z(a) = -2*a**5 - 44*a**4 + 46*a**3 + 24*a - 8. Let m(j) = j**5 + 15*j**4 - 15*j**3 - 9*j + 3. Let r(v) = 8*m(v) + 3*z(v). Let r(c) = 0. Calculate c.
0, 3
Let h(g) be the third derivative of g**6/120 - g**4/2 + 2*g**3 - 6*g**2. Let f(y) be the first derivative of h(y). Determine p, given that f(p) = 0.
-2, 2
Let c(t) be the third derivative of 2*t**7/105 + t**6/5 + t**5/3 + 96*t**2 + 3. Factor c(f).
4*f**2*(f + 1)*(f + 5)
Let m(l) be the second derivative of 7/2*l**2 + 1/6*l**3 + 1/3*l**4 + 0 + 3*l + 4/15*l**5. Let d(u) be the first derivative of m(u). Solve d(v) = 0 for v.
-1/4
Let 3*z**4 + 17*z**5 - 5*z**5 - 3*z**2 + 3*z**2 - 4*z**3 - 11*z**5 = 0. What is z?
-4, 0, 1
Let h(j) be the first derivative of 2/3*j**3 + 23 + 0*j - 5/4*j**4 + 0*j**2 + 3/5*j**5. Solve h(u) = 0 for u.
0, 2/3, 1
Let o be ((-94)/60)/47*6/(-4). Let x(g) be the third derivative of -3/8*g**4 + g**3 + 0*g - 2*g**2 + o*g**5 + 0. Suppose x(c) = 0. What is c?
1, 2
Suppose 3*s = 4*j + 39, -7 = -2*s + 3*j + 20. Factor 6*t**2 + 3/4*t**5 + s*t**3 + 0*t + 0 + 9/2*t**4.
3*t**2*(t + 2)**3/4
Let v be (-16488)/(-1188) - 24/44. Solve -v*i - 12 - 4/3*i**2 = 0 for i.
-9, -1
Let v(m) be the first derivative of 14 + 1/7*m**3 + 0*m - 3/7*m**2 + 3/14*m**4 - 3/35*m**5. Factor v(l).
-3*l*(l - 2)*(l - 1)*(l + 1)/7
Suppose -3*g - 10 = 2*g. Let m = g - -4. Factor 4 - a**2 + 5*a**m - 6*a - 3*a**2 + a**2.
2*(a - 2)*(a - 1)
Let u(v) be the first derivative of -1/4*v**4 - v**3 - v - 3/2*v**2 - 11. Factor u(g).
-(g + 1)**3
Solve 16/19*i**2 - 26/19*i - 2/19*i**3 + 12/19 = 0.
1, 6
Let s(j) be the second derivative of -j**7/294 + j**6/210 + 3*j**5/140 - j**4/84 - j**3/21 - j - 7. What is p in s(p) = 0?
-1, 0, 1, 2
Let x be 11/4 + -2 - 5845/60. Let d = x + 97. Factor 0*m - 2/3*m**2 + d*m**3 + 0.
m**2*(m - 2)/3
Let n = 73 + -68. Suppose 67*i**3 + n*i**2 - 2*i**2 - 73*i**3 + 0*i**4 + 3*i**4 = 0. What is i?
0, 1
Let f(l) be the third derivative of l**8/224 - 13*l**7/140 + 29*l**6/40 - 53*l**5/20 + 85*l**4/16 - 25*l**3/4 - 2*l**2 - 29. Factor f(u).
3*(u - 5)**2*(u - 1)**3/2
Let w(s) be the first derivative of -s**2 + 0*s - 33 - 1/3*s**3. Factor w(p).
-p*(p + 2)
Let a be ((-2)/(-1))/(-1) - 25*(-41)/205. Solve -2/7*c**a + 2/7*c - 4/7 + 4/7*c**2 = 0 for c.
-1, 1, 2
Find x such that -22/3*x + 2/3*x**2 + 12 = 0.
2, 9
Let p(f) be the first derivative of f**4/28 + f**3/7 + 3*f**2/14 - 11*f + 8. Let v(b) be the first derivative of p(b). Factor v(n).
3*(n + 1)**2/7
Let r be (8/18)/(130/(-15))*-6. What is p in 24/13*p**2 - 18/13*p - 10/13*p**3 + r = 0?
2/5, 1
Let d be 9/(-4)*8/(-3). Let y = -37 - -42. Suppose -l + l - d*l**3 + 4*l - l + 3*l**y = 0. What is l?
-1, 0, 1
Let z(s) be the third derivative of -s**9/30240 + s**8/3360 + 19*s**5/60 - 5*s**2. Let g(r) be the third derivative of z(r). Find o, given that g(o) = 0.
0, 3
Let t = 1108 + -3320/3. Let f(i) be the first derivative of 1/12*i**4 - 3 + 0*i**2 + 1/3*i**3 - t*i. Factor f(r).
(r - 1)*(r + 2)**2/3
Let b(i) be the third derivative of -i**6/120 - i**5/60 + i**4/24 + i**3/6 - 330*i**2. Suppose b(u) = 0. Calculate u.
-1, 1
Let b(v) be the third derivative of -v**5/150 + 22*v**4/15 - 172*v**3/15 - 810*v**2. Factor b(z).
-2*(z - 86)*(z - 2)/5
Let p(v) be the third derivative of -v**8/10080 - v**7/1260 - v**6/540 - 2*v**4/3 + 18*v**2. Let q(c) be the second derivative of p(c). Factor q(m).
-2*m*(m + 1)*(m + 2)/3
Let s(y) be the third derivative of y**5/12 - 5*y**4/3 + 10*y**3 + 16*y**2. Let s(w) = 0. What is w?
2, 6
Let l(d) = -20*d**4 - 24*d**3. Let b be (-50)/(-12) - 2/12. Let j(m) = 21*m**4 + 25*m**3 - m**2. Let x(h) = b*j(h) + 5*l(h). Factor x(w).
-4*w**2*(w + 1)*(4*w + 1)
Let l(g) be the second derivative of g**4/6 + 19*g**3/3 + 700*g. Solve l(m) = 0 for m.
-19, 0
Let d be 87 - (-2 + 1)*(11 + -10). Let r = 88 - d. What is p in 2/7*p**4 - 2/7*p**5 + r*p + 0*p**3 + 0 + 0*p**2 = 0?
0, 1
Suppose 4*c + 440 = 456. Let n(a) be the second derivative of -6*a + 0*a**2 + 0 - 1/42*a**c - 1/21*a**3. Factor n(i).
-2*i*(i + 1)/7
Let j = -93 + 99. Factor 16 - 10 - 3*f**2 - 9 - j*f.
-3*(f + 1)**2
Let l = -3 + 5. Suppose -3*u = 15, 348*d - 346*d + 3*u + 15 = 0. Determine g, given that 2/11*g**3 + 0*g + d*g**l - 2/11*g**5 + 0 + 0*g**4 = 0.
-1, 0, 1
Let w be 4/(-1) - (-8 - -10). Let x be 32/(-70)*45/w. Solve 18/7*g - x*g**3 - 2/7*g**2 - 4/7 = 0 for g.
-1, 1/4, 2/3
Let u(s) be the second derivative of s**8/8400 - s**7/840 + s**6/450 - 4*s**3 + 13*s. Let q(t) be the second derivative of u(t). Factor q(y).
y**2*(y - 4)*(y - 1)/5
Let x(h) be the third derivative of h**8/1120 - 2*h**7/315 + 7*h**6/360 - h**5/30 + 7*h**4/24 - 15*h**2. Let y(c) be the second derivative of x(c). Factor y(i).
2*(i - 1)**2*(3*i - 2)
Let b(h) = 4*h**4 - 74*h**3 - 145*h**2 - 79*h - 3. Let u(i) = -2*i**3 + i**2 - i - 1. Let m(s) = b(s) - 3*u(s). What is v in m(v) = 0?
-1, 0, 19
Suppose 2*q + 2*l = 58, -4*l - 24 + 84 = 2*q. Suppose h - q = -h. Solve o + 22*o - 3*o**3 - h*o + 6 = 0.
-1, 2
Let m(u) be the third derivative of -u**6/360 + u**5/20 - 3*u**4/8 + 7*u**3/3 - 4*u**2. Let n(a) be the first derivative of m(a). Determine v so that n(v) = 0.
3
Let t(b) be the second derivative of -1/4*b**4 - 11/80*b**5 - 1/40*b**6 + 0*b**2 - 2*b + 0 - 1/6*b**3. Factor t(s).
-s*(s + 1)*(s + 2)*(3*s + 2)/4
Let b(g) be the second derivative of -g**9/4536 + g**8/2520 + 3*g**3 + 3*g. Let p(t) be the second derivative of b(t). Factor p(c).
-2*c**4*(c - 1)/3
Let x(l) be the first derivative of 5*l**4/48 - 5*l**3/24 - 15*l**2/4 + 39*l - 9. Let r(n) be the first derivative of x(n). Factor r(w).
5*(w - 3)*(w + 2)/4
Let v(n) be the first derivative of 4 - 4*n**4 - 12*n + 8*n**2 + 4/5*n**5 + 8/3*n**3. Factor v(t).
4*(t - 3)*(t - 1)**2*(t + 1)
Factor 2/5*g**3 - 2/5 + g**2 + 1/5*g.
(g + 1)*(g + 2)*(2*g - 1)/5
Let u(r) be the third derivative of -1/45*r**5 + 0 + 0*r**3 - 1/180*r**6 + r**2 + 0*r + 1/12*r**4. Suppose u(w) = 0. What is w?
-3, 0, 1
Find m, given that 485*m**3 - 241*m**3 - 246*m**3 - 40*m**2 = 0.
-20, 0
Suppose 3 - 7 = -g. Suppose 0 = 4*q - 2*n - 2, 3*q - n = g. Factor 12/5*l**q + 9/5*l**2 - 12/5*l + 3/5*l**4 - 12/5.
3*(l - 1)*(l + 1)*(l + 2)**2/5
Solve 328054*l**2 - 4*l**3 - 328052*l**2 + 2*l**4 + 0*l**4 = 0.
0, 1
Factor -15*o + 9*o + 6*o - 15*o**4 + 13*o**4 - 28*o**3.
-2*o**3*(o + 14)
Let v = 257/196 + -3/49. Let w = -13/3 - -55/12. Factor -v*t + 1/4*t**3 + 3/4 + w*t**2.
(t - 1)**2*(t + 3)/4
Suppose 7*s - 753 = 150. Let -51*u**2 - 12*u - 207*u**4 + s*u**4 + 60*u**5 + 126*u**4 - 45*u**3 = 0. Calculate u.
-4/5, -1/2, 0, 1
Let 18*l + 82/9 - 2/9*l**3 + 26/3*l**2 = 0. What is l?
-1, 41
Let h(q) be the third derivative of 35/12*q**4 + 1/42*q**7 - 25/6*q**3 - q**5 + 0*q + 1/12*q**6 + 24*q**2 + 0. Factor h(z).
5*(z - 1)**3*(z + 5)
Let u(c) = -c**4 - 1. Let b(s) = -s**4 - 5*s**3 + 9*s**2 - 7*s. Suppose -29*v + 24 = -25*v. Let w(n) = v*u(n) - 3*b(n). Factor w(k).
-3*(k - 2)*(k - 1)**3
Let r(v) = -40*v - 1877. Let a be r(-47). Factor -18/13*y**4 - 48/13*y**a - 4/13*y - 2*y**2 + 0.
-2*y*(y + 2)*(3*y + 1)**2/13
Let f(x) = -69*x**2 - 348*x - 12. Let r be f(-5). Solve 2/7*b**r - 2*b**2 + 30/7*b - 18/7 = 0 for b.
1, 3
Solve -48 - 3*x**4 + 675*x**2 + 32*x - 651*x**2 - 32*x = 0.
-2, 2
Let g = 33 + -33. Let f be (-2)/(-4) + g + 1. Factor 9/4*m + 1/4*m**3 + 0 + f*m**2.
m*(m + 3)**2/4
Let i(u) be the first derivative of -8 + 0*u**4 + 0*u**2 - 1/10*u**5 + 1/3*u**3 + u. Let s(t) be the first derivative of i(t). What is x in s(x) = 0?
-1, 0, 1
Let k(g) be the first derivative of -4*g**5 + 9*g**4 - 32*g**3/5 + 8*g**2/5 - 295. Factor k(d).
-4*d*(d - 1)*(5*d - 2)**2/5
Let a be 3*2*10/20. What is t in 0*t**3 + t**2 - 4*t**3 + 3*t**a = 0?
0, 1
Let x(k) be the second derivative of -k**8/3360 + k**7/630 - k**6/360 + 11*k**4/