 0 = 0. What is p?
-2, -1, 0
Let v(h) = 4*h**3 - 2*h**2 + 5*h. Let w(n) = -5*n**3 + 2*n**2 - 6*n. Let p(u) = -6*v(u) - 5*w(u). Factor p(k).
k**2*(k + 2)
Let l = 51 + -49. Factor 4*r**2 + r**2 - 12*r - 12 - 8*r**l.
-3*(r + 2)**2
Let j(q) be the third derivative of 0*q - 3*q**2 + 0*q**4 + 0 + 1/42*q**7 + 1/12*q**5 + 0*q**3 - 1/12*q**6. Factor j(b).
5*b**2*(b - 1)**2
Suppose 7*f - 9*f + 18 = 0. Solve -6 - f*g - 48*g**2 - 3*g - 21*g - 21*g**3 = 0 for g.
-1, -2/7
Let q(v) = -6*v**2 + 42*v + 3. Let i be q(7). Let z(d) be the first derivative of 0*d**i + 1/5*d**5 - d - d**2 + 1/2*d**4 + 6. Determine u so that z(u) = 0.
-1, 1
Let b(l) be the first derivative of -l**5/60 + l**4/3 - 8*l**3/3 + 6*l**2 - 5. Let z(c) be the second derivative of b(c). Factor z(k).
-(k - 4)**2
Let k(y) be the first derivative of y**4/10 + 2*y**3/5 - 18*y**2/5 - 418. Factor k(s).
2*s*(s - 3)*(s + 6)/5
Let p be 0/1 - -3 - 9/(-9). Let k(r) be the third derivative of -r**2 + 0 - 1/42*r**p - 1/210*r**5 + 0*r**3 + 0*r. Determine h so that k(h) = 0.
-2, 0
Let y(w) be the third derivative of w**7/70 + 13*w**6/40 + 3*w**5/5 - 2*w**2 - 27*w. Factor y(r).
3*r**2*(r + 1)*(r + 12)
Suppose i + 4*i = t + 12, 0 = -4*i - t + 6. Suppose 6*g + 3 = m + 2*g, 0 = -2*m - 4*g + 6. Factor 0*k - i*k - 2*k**2 + m + 4*k + k**2.
-(k - 3)*(k + 1)
Let v = -917 - -921. Let d(k) be the second derivative of -1/14*k**3 + 0 - 10*k + 1/84*k**v + 1/7*k**2. Factor d(s).
(s - 2)*(s - 1)/7
Let z(f) = -25*f + 154. Let q be z(6). Let j(n) be the first derivative of -2/21*n**3 + 0*n - q + 3/7*n**2. Factor j(a).
-2*a*(a - 3)/7
Let o = 47 + -127. Let h = -238/3 - o. Factor -4/3*j**3 + 0*j + h*j**4 + 0 - 2*j**2.
2*j**2*(j - 3)*(j + 1)/3
Let z = -28876 + 28879. Suppose -1/8*g + 1/4*g**2 + 1/8*g**z - 1/4 = 0. Calculate g.
-2, -1, 1
Let v be (-1 + (3 - (-35)/(-10)))*-2. Let y be (1/1)/(v/(24/52)). Find x such that -2/13*x**4 - y*x**5 + 10/13*x**2 + 0 + 4/13*x + 6/13*x**3 = 0.
-1, 0, 2
Let s(b) be the third derivative of b**6/840 - b**5/105 + 5*b**4/168 - b**3/21 - 176*b**2. Determine v so that s(v) = 0.
1, 2
Let w be (0 - (-153)/(-3)) + 6 + -11. Let g be 0 + (-18)/(-8)*w/(-147). Suppose 0 - 3/7*u**4 + 9/7*u**3 - g*u**2 + 0*u = 0. Calculate u.
0, 1, 2
Suppose 12 = 3*d, -k + 5*d - 148 - 196 = 0. Let b be 8/10*(-90)/k. Factor b*u**2 + 2 + 4/3*u.
2*(u + 3)**2/9
Let s(t) = 2*t**3 + 6*t**2 + 2. Let q(y) = 10*y**3 + 31*y**2 - y + 11. Suppose 0 = -5*b + 10*b + 20. Let d(z) = b*q(z) + 22*s(z). Factor d(l).
4*l*(l + 1)**2
Let g(u) = -4*u + 20. Let y be g(-10). Factor -16*x**3 - 4*x**5 + 2*x**5 + y*x**4 - 284*x**3 - 2*x**5 + 500*x**2.
-4*x**2*(x - 5)**3
Let l(d) be the third derivative of d**5/100 - 21*d**4/40 + 296*d**2. Factor l(y).
3*y*(y - 21)/5
Suppose 80*o - 84*o = 8. Let r be (13/(-15))/(15/(-45)) + o. Find u such that 0*u**2 - r*u**3 + 9/5*u - 6/5 = 0.
-2, 1
Let t(b) be the second derivative of b**5/4 - 5*b**4/4 - 40*b**3/3 - 30*b**2 + 219*b. Solve t(z) = 0.
-2, -1, 6
Let d(b) = b**2 + b - 1. Let x(g) = 6*g**2 + 8*g - 2. Let a be (-14)/98*-7*1. Let i(w) = a*x(w) - 4*d(w). Factor i(z).
2*(z + 1)**2
Suppose -2 = 3*f - 3*p - 8, -5*f - 2*p + 3 = 0. Suppose b - 3 + f = 0. Factor -3*v**b + 4 + 3*v - 4.
-3*v*(v - 1)
Let -24*n**3 - 4*n**4 - 416*n - 25 + 115 + 102 + 252*n**2 = 0. Calculate n.
-12, 1, 4
Let m = -141 - -405. Let l = m - 258. Factor 7*y**2 - l*y + 9/7.
(7*y - 3)**2/7
Let g(w) = -116*w**2 - 44*w + 1. Let l(t) = t**2 + 1. Let v = -77 + 73. Let m(q) = v*g(q) + 20*l(q). Factor m(y).
4*(11*y + 2)**2
Suppose 0 = t - 0*t - 4. Determine k so that 9*k**5 + k**3 + 987*k**4 - 3*k**3 - 994*k**t = 0.
-2/9, 0, 1
Let j(o) be the third derivative of o**6/540 + 7*o**5/45 + 11*o**4/3 - 968*o**3/27 + 279*o**2. Find q, given that j(q) = 0.
-22, 2
Let q(g) be the first derivative of 4*g**5 - 23*g**4 + 32*g**3 + 48. Suppose q(v) = 0. Calculate v.
0, 8/5, 3
Let v(b) be the first derivative of b**8/1680 - b**7/2100 - b**6/360 + b**5/300 - 10*b**3/3 + 5. Let a(h) be the third derivative of v(h). Factor a(m).
m*(m - 1)*(m + 1)*(5*m - 2)/5
Suppose 0 = 4*d + 3*b - 18, 5 = d + 3*b - 4. Factor -1278*f**2 - 147*f**2 - 20 + 969*f**4 - 295*f - 2125*f**d - 344*f**4.
5*(f - 4)*(5*f + 1)**3
Let x(h) = -1 + h + 4 + 1 - 4*h**2 - 7. Let b = -23 + 20. Let r(y) = 7*y**2 - y + 5. Let g(i) = b*r(i) - 5*x(i). Factor g(q).
-q*(q + 2)
Let l(i) = 18*i - 176. Let x be l(10). Factor -4/5*k**3 - 1/5*k**x - 3/5*k**2 + 4/5*k + 4/5.
-(k - 1)*(k + 1)*(k + 2)**2/5
Let j = 89 + -50. Factor 11*y**3 - 9*y**3 + j*y**4 - 33*y**4.
2*y**3*(3*y + 1)
Let v be (-2)/(-12)*(0 - 34958/(-21)). Let a = -277 + v. Solve 2/9*s + 4/9*s**2 + 0 - 2/9*s**5 + 0*s**3 - a*s**4 = 0 for s.
-1, 0, 1
Let k(b) be the second derivative of b**8/1680 - 4*b**7/315 + 5*b**4/12 + 34*b. Let f(l) be the third derivative of k(l). Let f(p) = 0. What is p?
0, 8
Let j(z) be the first derivative of -2/3*z**3 - 1/8*z**4 + 27 + 0*z + 0*z**2. Factor j(b).
-b**2*(b + 4)/2
Let m(g) = 8*g**3 - 123*g**2 - 3*g + 138. Let v(s) = 9*s**3 - 120*s**2 - 3*s + 138. Let h(n) = 6*m(n) - 5*v(n). Determine k so that h(k) = 0.
-1, 1, 46
Factor 7*i**3 + 5*i**4 + 52*i**2 + 29 + 19 - 7*i**4 - 100*i - 2*i**4 - 3*i**3.
-4*(i - 3)*(i - 1)**2*(i + 4)
Let y(a) be the third derivative of 0 + 0*a**4 + 0*a - 1/28*a**8 + 2*a**2 + 0*a**3 - 1/15*a**5 - 2/15*a**7 - 1/6*a**6. Solve y(m) = 0.
-1, -1/3, 0
Let d(h) be the first derivative of -6/5*h**5 + 33/4*h**4 + 12*h**3 + 0*h - 54*h**2 + 33 - 1/2*h**6. Solve d(r) = 0 for r.
-3, 0, 2
Let q = 31 - 23. Determine x, given that q*x - 15*x**4 - 99*x**2 + 161*x**3 - 2*x + 24 - 77*x**3 = 0.
-2/5, 1, 4
Let c(i) be the first derivative of -i**4/5 + 16*i**3/15 + 2*i**2/5 - 16*i/5 + 21. Solve c(p) = 0 for p.
-1, 1, 4
Suppose 29 - 229 + 108*u + 65*u**2 + 14*u + 8*u + 5*u**3 = 0. Calculate u.
-10, -4, 1
Factor -1/4*q**2 + 3/4 - 1/2*q.
-(q - 1)*(q + 3)/4
Let m(d) be the second derivative of d**7/231 + d**6/55 - 3*d**5/55 - 14*d**4/33 - 8*d**3/11 + 3*d - 1. Factor m(q).
2*q*(q - 3)*(q + 2)**3/11
Let w be (-2)/3 + (-14)/(-21). Let p = w + 2. What is b in -4 + p*b**2 - 6*b + 1 - 5*b**2 = 0?
-1
Let j(d) be the second derivative of 37*d**3/6 - d**2 + 6*d. Let r be j(2). Factor -10*m - r*m**2 - 154*m**3 - 98*m**5 + 2*m - 212*m**4 - 64*m**3 - 40*m**4.
-2*m*(m + 1)**2*(7*m + 2)**2
Let m(s) be the second derivative of 1/28*s**4 - 2/21*s**3 + 0 + 1/14*s**2 + 10*s. Factor m(q).
(q - 1)*(3*q - 1)/7
Let l be -14*((-1)/(-28))/(2 - (-90)/(-40)). What is m in -4/7*m**l - 2/7*m**5 - 4/7 - 8/7*m**3 + 8/7*m**4 + 10/7*m = 0?
-1, 1, 2
Let y(z) be the third derivative of -z**8/4480 + 43*z**7/10080 + z**6/144 + z**5/5 - 18*z**2. Let v(g) be the third derivative of y(g). Solve v(i) = 0.
-2/9, 5
Let p(l) be the first derivative of 0*l**4 + 1/5*l**2 + 0*l - 19 + 4/25*l**5 - 4/15*l**3 - 1/15*l**6. Let p(n) = 0. What is n?
-1, 0, 1
Let h be -18*(9/81)/(-1). Solve 6/5*v**3 + 0 - 2*v**4 + 2*v**h - 8/5*v**5 + 2/5*v = 0.
-1, -1/4, 0, 1
Let w(g) be the third derivative of g**7/315 + g**6/180 - 2*g**5/45 - g**4/9 + 92*g**2. Factor w(b).
2*b*(b - 2)*(b + 1)*(b + 2)/3
Let w(l) be the second derivative of l**6/10 + l**5/20 - l**4/6 - 3*l + 4. Factor w(c).
c**2*(c + 1)*(3*c - 2)
Let c(q) = 7*q**2 + 36*q + 7. Let o be c(-5). Suppose h**3 - 1/2*h**o + 1/4*h**5 - 1/2 + h**4 - 5/4*h = 0. What is h?
-2, -1, 1
Let n be (-65392)/(-18760) + 6/(-5). Factor -72/7*b - 81/7*b**2 - n.
-(9*b + 4)**2/7
Let l be (3 - (-46)/(-10))*(-26 + 1). Find k, given that -l*k**3 - 54 + 30*k**2 + 200*k + 179 + 3*k**4 + 2*k**4 = 0.
-1, 5
Let k(m) be the first derivative of -1/38*m**4 + 2/19*m - 1 + 1/19*m**2 - 2/57*m**3. Let k(w) = 0. What is w?
-1, 1
Let m = 50 + -47. Determine w so that -12 - m*w**2 + 7*w**2 - 7*w**2 + 18*w - 15 = 0.
3
Let p(j) be the second derivative of -j**5/5 + 5*j**4/3 - 4*j**3/3 - 16*j**2 - 16*j + 1. Factor p(n).
-4*(n - 4)*(n - 2)*(n + 1)
Suppose 11*u + 127 = 149. Let l(n) be the first derivative of -20*n**5 - 16/3*n**3 + 11 - 20*n**4 + 0*n + 0*n**u. Factor l(m).
-4*m**2*(5*m + 2)**2
Let m(j) = -j**3 + 34*j + 75. Let h be m(-4). Factor 0 + 1/4*y**h + 0*y**2 + 0*y.
y**3/4
Let o(u) be the second derivative of 0*u**2 + 0*u**4 + 0*u**3 - 3/80*u**5 - u + 1/28*u**7 - 1/40*u**6 + 0. Factor o(y).
3*y**3*(y - 1)*(2*y + 1)/4
Let n(h) = -11*h. Let q be n(-2). Deter