
Let t(o) be the second derivative of -o**4/4 + o**3 + 36*o**2 + 4*o + 6. Factor t(j).
-3*(j - 6)*(j + 4)
Let w(l) be the third derivative of 2*l**7/105 + l**6/6 - 22*l**5/15 - 28*l**4/3 + l**2 + 16*l. Factor w(y).
4*y*(y - 4)*(y + 2)*(y + 7)
Let y(t) = t**2 + 20*t + 5. Let h be y(-20). Suppose h + 15*p**2 - 6*p - 2 + 12*p**3 - 36*p**4 - 3 = 0. What is p?
-2/3, 0, 1/2
Suppose 150 = 17*f - 15*f. Factor 75 + 5*t - f*t - 5*t**2 + 0*t**2.
-5*(t - 1)*(t + 15)
Let z = 270798 + -2981647/11. Let m = z + 261. Suppose -4/11*q**3 - 2/11*q**5 + 6/11*q**4 - m + 6/11*q - 4/11*q**2 = 0. Calculate q.
-1, 1
Factor 1/2*p**4 + 0*p - 2*p**2 + 15/4*p**3 + 0.
p**2*(p + 8)*(2*p - 1)/4
Let y(p) = -2*p**2 + p + 3. Let v(x) = -2*x - 1. Let w be v(-2). Let t(k) = -3*k**2 + 4. Let a(c) = w*t(c) - 4*y(c). Suppose a(s) = 0. Calculate s.
-4, 0
Let f = 1 + -1. Let i = f - -2. Find y such that y**2 - y**2 + 4*y - i*y**2 = 0.
0, 2
Let j(n) be the second derivative of -2/3*n**3 + 1/12*n**4 + 11*n + 3/2*n**2 + 0. Let j(z) = 0. Calculate z.
1, 3
Let n(y) be the first derivative of y**4/3 + 40*y**3/3 - 62*y**2/3 + 318. Factor n(g).
4*g*(g - 1)*(g + 31)/3
Let g(p) = p**3 - 9*p**2. Let l be g(9). Suppose -6*a + l = -12. Solve -1/2 - 1/2*h**a + h = 0 for h.
1
Suppose 1/3*z**3 + 16/3*z**2 + 0 + 20*z = 0. What is z?
-10, -6, 0
Suppose -10*y + 5*y = 2*d - 31, -4*d + 7 = -y. Determine t, given that -6*t**4 + 0 - 9/5*t**5 + 0*t**2 + 0*t - 9/5*t**d = 0.
-3, -1/3, 0
Suppose 0 = -7*c - 25 - 17. Let s = -6 - c. Suppose s*n + 0 + 4/11*n**4 + 0*n**2 + 2/11*n**5 + 2/11*n**3 = 0. What is n?
-1, 0
Let x(t) be the third derivative of -t**6/60 + t**4/12 - 4*t**2 - t. Factor x(c).
-2*c*(c - 1)*(c + 1)
Let i(k) be the third derivative of k**8/224 + 17*k**7/105 + 467*k**6/240 + 157*k**5/20 + 185*k**4/12 + 50*k**3/3 + 153*k**2. Solve i(p) = 0 for p.
-10, -1, -2/3
Let h(b) be the third derivative of 0 + 3/10*b**5 - 13*b**2 - 9/4*b**4 + 9*b**3 - 1/60*b**6 + 0*b. Let h(l) = 0. What is l?
3
Let y(r) be the second derivative of -23*r + 0 - 27/5*r**5 + 10/3*r**3 + 8*r**4 - 4*r**2. Suppose y(s) = 0. What is s?
-1/3, 2/9, 1
Let i = 187/54 + -80/27. Solve -n**4 + 0 - 1/2*n**3 + n**2 + i*n = 0.
-1, -1/2, 0, 1
Let a be (-141)/4 + (-12)/(-48). Let w = 247/7 + a. Factor -w*s**2 + 0 + 0*s.
-2*s**2/7
Let h be 1 + 14409/33 + (-2 - -4). Let m = 440 - h. Find i such that 2/11*i**2 - m*i + 0 = 0.
0, 2
Let x(h) be the first derivative of h**6/11 - 6*h**5/11 + 80*h**3/11 - 240*h**2/11 + 288*h/11 + 23. Let x(d) = 0. What is d?
-3, 2
Let m(j) be the third derivative of 0 + 10*j**2 + 0*j**3 + 0*j**4 + 0*j - 1/45*j**5 - 1/180*j**6. Factor m(d).
-2*d**2*(d + 2)/3
Let r(p) = 3*p - 100. Let f be r(35). Suppose -2*j - 5 = -f*v, 1 = 5*j - 4*v + 5. Determine a so that 2/3*a**3 + j + 4/3*a**2 + 0*a = 0.
-2, 0
Let t be -1 + (-3 - -2) + 5385/33. Let y = t - 161. Factor -2/11*j**2 - y + 4/11*j.
-2*(j - 1)**2/11
Let x = -377/5 + 379/5. Let g(c) be the second derivative of -8*c + 1/25*c**5 + 0 - 1/5*c**3 + x*c**2 - 1/10*c**4. Factor g(u).
2*(u - 2)*(u + 1)*(2*u - 1)/5
Let d(k) be the second derivative of k**4/42 + 4*k**3/21 + 3*k**2/7 + 67*k. Let d(p) = 0. Calculate p.
-3, -1
Factor -24/5 - 2/5*z**2 + 16/5*z.
-2*(z - 6)*(z - 2)/5
Let g(l) be the first derivative of -5*l**4/4 + 10*l**3 - 25*l**2/2 - 312. Factor g(b).
-5*b*(b - 5)*(b - 1)
Let n(x) be the first derivative of 5*x**6/14 + 81*x**5/35 + 30*x**4/7 + 12*x**3/7 + 465. Let n(k) = 0. Calculate k.
-3, -2, -2/5, 0
Let h = -173/2 + 87. Let o(i) = -5*i**2 + 41*i - 5. Let s be o(8). Factor 1/2*t**4 + t - t**s + 0 - h*t**2.
t*(t - 2)*(t - 1)*(t + 1)/2
Let v(l) be the first derivative of -l**5/35 + l**4/28 + 2*l**3/7 + 233. Let v(f) = 0. Calculate f.
-2, 0, 3
Suppose -6*z - 2*f + 4 = -8*z, 4*z - 28 = -5*f. Find s such that z + 7/2*s**2 + 8*s = 0.
-2, -2/7
Factor 14*b**3 - 36*b**3 + 20*b**2 - 24*b**2 + 152*b**4.
2*b**2*(4*b - 1)*(19*b + 2)
Let k be (2/5)/(5/(-25)). Let v be (-15)/20*((-80)/(-135))/k. Let 2/9*y + 0*y**2 - v*y**3 + 0 = 0. Calculate y.
-1, 0, 1
Let v be 4*2/(-28)*(1 - 3). Let m = v + -5/21. Determine f so that 0*f - 1/3 + m*f**2 = 0.
-1, 1
Suppose 0 = 4*l + 2*k - 260, 2*l - 110 = -0*l + 4*k. Let i be 11/(385/(-10)) + 32/l. Factor i*p**2 + 0*p + 0.
2*p**2/9
Suppose 0 = 4*n - z - 24 + 22, 0 = -5*n - 3*z - 6. Factor -2/7*j**2 + n*j + 0 - 2/7*j**3.
-2*j**2*(j + 1)/7
Let i(v) be the third derivative of 1/140*v**5 + 0 + 7*v**2 - 1/840*v**6 - 1/56*v**4 + 0*v + 1/42*v**3. Factor i(d).
-(d - 1)**3/7
Factor 44*o**2 - 54*o**2 + o**4 + 4*o + 24 - o**3 + 0*o**3.
(o - 3)*(o - 2)*(o + 2)**2
Let t be (-2232)/(-2976) + ((-1)/1 - -1). What is w in -t*w**3 + 7/2*w**4 - 1/2*w**2 + 0*w + 0 = 0?
-2/7, 0, 1/2
Suppose 3*y - 69 = -30. Let v = -11 + y. Solve -4/7 + 4/7*f**2 + v*f - 2*f**3 = 0 for f.
-1, 2/7, 1
Let h(b) be the first derivative of -2/5*b**5 + 8/3*b**3 - 20 + 0*b**2 + 4/3*b**6 - 8*b**4 + 0*b. Let h(f) = 0. Calculate f.
-2, 0, 1/4, 2
Let n(z) be the third derivative of 4*z**2 + 0*z + 0*z**3 + 1/90*z**5 + 0 + 1/108*z**4 + 1/180*z**6 + 1/945*z**7. Determine w so that n(w) = 0.
-1, 0
Let u be (-1)/(4/20*-1). Factor -2*d**2 + 2*d**2 - d**4 - u*d**3 - 9*d**4.
-5*d**3*(2*d + 1)
Let t(a) = a**2 + 4*a - 2. Let z be t(-5). Let f be 2/8 - z/12. Let 0 + 1/4*d**2 + f*d = 0. What is d?
0
Let x be 1/3*(13 - 4). Suppose -5*p + 7 = -x. Solve -2*q - 4*q**p + 2*q**2 + 2*q**3 - 4 + 3 + 3 = 0.
-1, 1
Suppose -5*f - 25 = 0, -5*r - 2*f = -0*r - 5. Let a be (80/56 - r/7)/5. Factor 1/5*w**3 - a*w**4 + 1/5*w**2 + 0 - 1/5*w.
-w*(w - 1)**2*(w + 1)/5
Let o be (84/168)/((-7)/52) - 4*-1. What is v in -6/7*v**2 + 4/7 + o*v**4 + 2/7*v - 2/7*v**3 = 0?
-1, 1, 2
Let i(r) be the third derivative of -1/3*r**3 + 0 - 19*r**2 - 1/60*r**6 + 0*r - 1/10*r**5 - 1/4*r**4. What is x in i(x) = 0?
-1
Let x = -22959/5 - -4595. Let r(f) = f + 7. Let u be r(-5). Factor -4/5*z**u - 16/5 + x*z.
-4*(z - 2)**2/5
Let u be (429/(-352))/((-60)/16). Let i(k) be the second derivative of -3*k + 0 + 9/16*k**4 + 1/6*k**3 + 7/120*k**6 + u*k**5 - 1/2*k**2. Factor i(q).
(q + 1)**2*(q + 2)*(7*q - 2)/4
Let l(f) be the first derivative of f**7/420 - f**6/15 + 4*f**5/5 - 16*f**4/3 + 3*f**3 + 8. Let g(x) be the third derivative of l(x). Let g(d) = 0. What is d?
4
Suppose -2*j - 37 + 43 = 0. Let s(u) be the second derivative of -4*u + 0 - 1/24*u**j + 1/6*u**4 - 1/4*u**2 - 1/16*u**5. Factor s(b).
-(b - 1)**2*(5*b + 2)/4
Let h(b) be the third derivative of -b**8/84 + 2*b**7/105 + b**6/6 - b**5/15 - 4*b**4/3 - 8*b**3/3 - 49*b**2. Factor h(a).
-4*(a - 2)**2*(a + 1)**3
Let y(p) be the second derivative of p**6/70 - 3*p**5/70 - p**4/28 + p**3/7 + 51*p. Find m such that y(m) = 0.
-1, 0, 1, 2
Let b(r) be the second derivative of r**8/7840 - r**7/840 + r**6/420 + r**5/70 + 3*r**4/2 - 17*r. Let d(q) be the third derivative of b(q). Factor d(h).
3*(h - 2)**2*(2*h + 1)/7
Let j(g) be the third derivative of g**6/80 + 9*g**5/40 - 21*g**4/16 + 11*g**3/4 - 7*g**2 + 4*g. Factor j(f).
3*(f - 1)**2*(f + 11)/2
Let n(b) be the first derivative of 9/2*b**2 + 27 - 1/6*b**3 - 81/2*b. Factor n(j).
-(j - 9)**2/2
Let m(p) be the third derivative of -p**8/2184 - 8*p**7/1365 - 23*p**6/780 - 14*p**5/195 - p**4/13 - 101*p**2. What is o in m(o) = 0?
-3, -2, -1, 0
Let s(j) be the second derivative of -2/5*j**2 - 1/15*j**3 + 0 + 1/30*j**4 + 4*j. Factor s(i).
2*(i - 2)*(i + 1)/5
Factor 48*p**4 + 11*p**3 - 31*p**3 - 186*p**2 + 174*p**2.
4*p**2*(3*p + 1)*(4*p - 3)
Let b = -35 + 69. Suppose -17*j - 15*j - 2*j**3 + b*j = 0. What is j?
-1, 0, 1
Let j be (10 - 8)*1/2. Let t be (-15)/(-9)*j/5. Factor 0 + 0*g**2 + t*g**3 + 0*g.
g**3/3
Let l(n) be the second derivative of n**5/270 - 7*n**4/108 - 8*n**3/27 + 13*n**2 - 41*n. Let s(j) be the first derivative of l(j). Find z, given that s(z) = 0.
-1, 8
Suppose -7*l + 1/2*l**4 + 24*l**2 + 7*l**3 - 49/2 = 0. Calculate l.
-7, -1, 1
Let n(z) be the second derivative of -3*z**5/20 + 7*z**4/4 + 17*z**3/2 + 27*z**2/2 - 9*z + 9. Solve n(r) = 0 for r.
-1, 9
Factor 4*i**3 - 36 - i + 4*i + 6*i - 7*i + 10*i + 20*i**2.
4*(i - 1)*(i + 3)**2
Let q(g) be the second derivative of g**4/20 - g**3/10 - 327*g. Suppose q(l) = 0. What is l?
0, 1
Suppose 8*k - 40 = -27*k + 65. Let 0 + 1/5*z**k + 1/5*z**2 + 0*z = 0. Calculate z.
-1, 0
Factor -17 - 45 - 2*x**2 - 6*x - 18*x - 10 + 