tive of a(h). Factor i(k).
-(k + 1)**2/6
Let q be (-10)/(-4) + (-1)/(-2). Suppose -33 = -5*l - q. Factor -4*a + 3*a**4 + 2*a**3 + l*a**2 - 2*a**4 + 1 - 6*a**3.
(a - 1)**4
Let f = 25 - 74/3. Let y(r) be the first derivative of -1/3*r**3 - 2 + 0*r**2 + 1/5*r**5 + 0*r - f*r**6 + 1/2*r**4. Suppose y(z) = 0. What is z?
-1, 0, 1/2, 1
Solve -147/2*m**2 - 8 - 343/8*m**3 - 42*m = 0 for m.
-4/7
Let y(v) = 0 - v**2 - 2 - 5 + 10*v. Let g be y(9). Factor 0 - 1/4*s**g + 1/4*s.
-s*(s - 1)/4
Let p(y) = 8*y**2 + 42*y - 28. Let o(j) = -j**2 - 6*j + 4. Let r(m) = 44*o(m) + 6*p(m). Factor r(s).
4*(s - 2)*(s - 1)
Let m(t) be the first derivative of -1/2*t + 1/10*t**5 + 0*t**3 + 1/4*t**4 + 1 - 1/2*t**2. Find b such that m(b) = 0.
-1, 1
Let q be (-14)/77 - 2/(-11). Suppose -6/11*j**4 + 0*j**2 + q*j - 4/11*j**3 - 2/11*j**5 + 0 = 0. What is j?
-2, -1, 0
Let m(r) be the third derivative of r**6/1140 - r**4/76 - 2*r**3/57 - 26*r**2. Factor m(g).
2*(g - 2)*(g + 1)**2/19
Let i be (0/(1 + 0))/(-2 - -1). Let v(d) be the third derivative of -1/3*d**3 - 1/6*d**4 + 0*d + i + d**2 - 1/30*d**5. Let v(l) = 0. Calculate l.
-1
Let u(o) be the second derivative of 3*o**7/70 - 7*o**6/120 - 7*o**5/40 + o**4/4 + 7*o**3/6 + 8*o. Let c(m) be the second derivative of u(m). Factor c(x).
3*(x - 1)*(3*x + 2)*(4*x - 1)
Let w(h) be the third derivative of h**10/529200 + h**9/211680 - h**5/60 + h**2. Let d(n) be the third derivative of w(n). Let d(u) = 0. What is u?
-1, 0
Let p(w) be the first derivative of w**6/10 + 21*w**5/25 + 57*w**4/20 + 5*w**3 + 24*w**2/5 + 12*w/5 - 8. Factor p(k).
3*(k + 1)**3*(k + 2)**2/5
Let j(h) be the third derivative of -h**8/224 + h**7/140 + h**6/80 - h**5/40 + 11*h**2. Solve j(v) = 0 for v.
-1, 0, 1
Let 9/5*y**2 + 7/5*y + 2/5 + y**3 + 1/5*y**4 = 0. What is y?
-2, -1
Let c(y) be the first derivative of 3*y**4/4 + y**3 - 3*y**2 + 12. What is r in c(r) = 0?
-2, 0, 1
Let i = 3 - -1. Let p be 2/2 - (-2 + 1). Let t(y) = y**2 - y - 1. Let s(c) = -c**3 - 4*c**2 + 2*c + 2. Let b(m) = i*t(m) + p*s(m). Factor b(n).
-2*n**2*(n + 2)
Factor 0 - 5/2*k**3 + 3/2*k**4 + k**2 + 0*k.
k**2*(k - 1)*(3*k - 2)/2
Let z(r) be the second derivative of 0*r**2 + 0*r**3 + 1/8*r**4 + 7/40*r**6 + 27/80*r**5 - 3*r + 0. Factor z(d).
3*d**2*(d + 1)*(7*d + 2)/4
Let n(a) = -2*a**2 + 5*a. Let q(b) = 7*b**2 - 6*b. Let s(r) = 8*r**2 - 5*r. Let g(j) = 4*q(j) - 3*s(j). Let d(i) = -3*g(i) - 5*n(i). Let d(m) = 0. What is m?
0, 1
Let o be (-231)/(-9) + 8/(-12). Let g be (-2)/o*(-8 - 2). Factor g*i**2 + 2/5 - 6/5*i.
2*(i - 1)*(2*i - 1)/5
Let y be 58/10 + -1*3. Let m = -2 - -7. Let y*i**4 - 4/5*i**3 + 0*i - 2/5*i**2 - 8/5*i**m + 0 = 0. Calculate i.
-1/4, 0, 1
Let q = 12 - 13. Let u(o) = 2*o**2 - 2*o - 1. Let h be u(q). Factor 0 - 2/3*z**h + 0*z - 2/3*z**2.
-2*z**2*(z + 1)/3
Factor 30*d + 20*d**3 + 42*d**2 + 4 - 25*d**2 + 1 + 28*d**2.
5*(d + 1)**2*(4*d + 1)
Let l(x) be the third derivative of x**10/201600 - x**9/48384 + x**8/40320 - x**5/30 + 3*x**2. Let j(g) be the third derivative of l(g). Factor j(f).
f**2*(f - 1)*(3*f - 2)/4
Let q(u) = u**2 - 4*u + 2. Let n be q(4). Suppose d + n*d - 6 = -l, 2*l - 2 = -d. Let -2*i**d + 0 + 0 = 0. What is i?
0
Let s(q) = 12*q**3 - 9*q**3 + 5 - 8*q**2 - 21*q + 8*q. Let d(n) = 5*n**3 - 12*n**2 - 20*n + 8. Let r(i) = 5*d(i) - 8*s(i). Solve r(m) = 0 for m.
-2, 0
Suppose -12 = 7*z - 11*z. Let i(l) = l**3 + 5*l**2 - 7*l - 4. Let q be i(-6). Determine a, given that 0 - 10/7*a**q - 4/7*a - 6/7*a**z = 0.
-1, -2/3, 0
Let s(c) be the third derivative of -c**7/560 - c**6/320 - 5*c**2. Factor s(n).
-3*n**3*(n + 1)/8
Let m(n) be the third derivative of 1/1512*n**8 + 8/135*n**5 - 2*n**2 + 2/27*n**3 + 2/315*n**7 + 7/270*n**6 + 0 + 0*n + 1/12*n**4. Solve m(v) = 0.
-2, -1
Suppose v + 263 - 265 = 0. Factor 0*s + 2/5*s**4 + 0*s**3 + 0 - 1/5*s**5 + 0*s**v.
-s**4*(s - 2)/5
Factor 2*m**5 + 0*m - 4*m**5 + 4*m**3 - 2*m.
-2*m*(m - 1)**2*(m + 1)**2
Let x be (4/(-8))/(2 + 0 - 5). What is s in -1/6*s + x*s**3 + 0*s**2 + 0 = 0?
-1, 0, 1
Let a be (-2 - -5 - -11) + -2. Let o = a - 12. Determine y, given that 0*y + 4/5*y**4 - 4/5*y**2 - 2*y**5 + o + 2*y**3 = 0.
-1, 0, 2/5, 1
Let r(x) = -x**2 - 11*x + 3. Let u be r(-10). Factor 0*b**2 - 2*b**2 - u*b + 10*b + 2 + 3*b**2.
(b - 2)*(b - 1)
Let p(i) = 5*i + 1. Let u be p(1). Solve 3*a + 0*a + 6*a**4 + 3*a - 3*a**5 - u*a**2 - 3*a = 0 for a.
-1, 0, 1
Suppose 16*b = 15*b + 8*b. Solve b - 6*q**2 - 3/2*q**3 + 0*q = 0 for q.
-4, 0
Let v(o) be the second derivative of 1/66*o**4 + 1/165*o**6 + 0 + 0*o**2 - 1/55*o**5 + 7*o + 0*o**3. Determine c so that v(c) = 0.
0, 1
What is v in 8/5*v**3 + 2/5*v + 11/5*v**2 - 21/5*v**4 + 0 = 0?
-1/3, -2/7, 0, 1
Let x(f) be the third derivative of 7*f**2 + 0 - 1/6*f**3 - 1/120*f**5 - 1/16*f**4 + 0*f. Find q such that x(q) = 0.
-2, -1
Factor 2/7*q**3 - 2/7*q + 0 + 0*q**2.
2*q*(q - 1)*(q + 1)/7
Factor -6*w**4 + 0 - 3/2*w**5 - 6*w**2 - 9*w**3 - 3/2*w.
-3*w*(w + 1)**4/2
Let n(k) be the second derivative of -k**5/10 + k**4/3 + 4*k**3/3 - 8*k**2 + 2*k - 16. Factor n(g).
-2*(g - 2)**2*(g + 2)
Let n(i) be the first derivative of i**4/18 - 2*i**3/27 - i**2/9 + 2*i/9 + 11. Let n(u) = 0. What is u?
-1, 1
Let z(v) be the first derivative of -1/2*v**4 + 4*v + 2 + 3*v**2 + 0*v**3. Solve z(k) = 0 for k.
-1, 2
Let w(s) = s**2 - s + 2. Let q be w(4). Let x = q + -8. Let z(f) = -f**4 - f**3 + 6*f + 6. Let d(l) = l + 1. Let n(h) = x*d(h) - z(h). What is i in n(i) = 0?
-1, 0
Let i(h) be the third derivative of -h**8/84 + h**6/30 + 22*h**2. Determine f, given that i(f) = 0.
-1, 0, 1
Let r(w) be the first derivative of -w**6/24 - w**5/20 + w**4/16 + w**3/12 - 37. Factor r(t).
-t**2*(t - 1)*(t + 1)**2/4
Let u(r) be the second derivative of r**7/168 + r**6/40 + r**5/40 - 27*r. Find k, given that u(k) = 0.
-2, -1, 0
Let r = 52 - 75. Let x = 26 + r. Factor u**x + 0 + 1/3*u**4 + 1/3*u + u**2.
u*(u + 1)**3/3
Suppose 5*v - 3*k = 86, k - 42 - 18 = -3*v. Find w such that 0*w**4 + 3*w**2 + v*w**3 - 16*w - 4 - 6*w**3 + 4*w**4 = 0.
-2, -1/4, 1
Let i(d) = 2*d + 4. Let y be i(-4). Let x = y - -7. Factor 2*w**3 - 2*w**2 - 4 - 2*w + 3 + x.
2*(w - 1)**2*(w + 1)
Let b(w) be the first derivative of -w**6/24 - w**5/20 + 5*w**4/16 - w**3/4 + 9. Solve b(d) = 0.
-3, 0, 1
Let d(r) be the second derivative of -r**8/4200 + r**7/1050 - r**5/150 + r**4/60 + r**3 - 4*r. Let c(n) be the second derivative of d(n). Factor c(x).
-2*(x - 1)**3*(x + 1)/5
Let x(n) be the second derivative of -n**6/6 + n**5/4 + 5*n**4/12 - 5*n**3/6 - 3*n. Let x(f) = 0. Calculate f.
-1, 0, 1
Factor 3 - s - 5/3*s**2 - 1/3*s**3.
-(s - 1)*(s + 3)**2/3
Let o(h) be the first derivative of 4*h**5/5 - 3*h**4 + 4*h**3 - 2*h**2 + 4. Factor o(z).
4*z*(z - 1)**3
Suppose -4/5*p - 2/5 - 2/5*p**2 = 0. What is p?
-1
Let b = 18 - 23. Let p be ((-2)/(-10))/((-2)/b). Factor -1/2*q + p*q**3 + 0 + 0*q**2.
q*(q - 1)*(q + 1)/2
Suppose 1 = -2*i + 7. Determine d, given that -2*d**2 + d**2 + 4*d**2 + 2*d + d**i = 0.
-2, -1, 0
Let z(c) be the first derivative of c + 1/2*c**4 - c**2 + 0*c**3 + 3 - 1/5*c**5. Find o such that z(o) = 0.
-1, 1
Let u(y) be the second derivative of -y**6/540 - y**3/6 + 3*y. Let i(r) be the second derivative of u(r). Factor i(f).
-2*f**2/3
Let w(u) be the third derivative of -u**7/735 + u**5/105 - u**3/21 + 3*u**2. Factor w(m).
-2*(m - 1)**2*(m + 1)**2/7
Let w = 7 + -12. Let m = w - -11. Factor m*q**4 - 4*q**4 - 3*q**2 + q**2.
2*q**2*(q - 1)*(q + 1)
Let c(r) be the third derivative of 0 - 1/1008*r**8 + 1/9*r**3 + 1/90*r**6 - 1/90*r**5 + 0*r**7 - 1/24*r**4 + 0*r + r**2. Determine w, given that c(w) = 0.
-2, -1, 1
Suppose 2*u - 7*u - 5 = 0, -92 = -3*g + 2*u. Let n be 34/g + (-7)/21. Solve n*m + 2/5*m**2 + 0 = 0.
-2, 0
Let g(a) be the third derivative of a**6/120 - a**5/30 - a**4/24 + a**3/3 - 11*a**2. What is b in g(b) = 0?
-1, 1, 2
Let y = 120 + -838/7. Suppose 2/7*z + 0 + y*z**2 = 0. What is z?
-1, 0
Let d(w) be the first derivative of 2 + 2*w**3 + 18*w + 9*w**2 + 1/6*w**4. Suppose d(a) = 0. Calculate a.
-3
Let g be (-4)/10*(-2)/8. Let u(z) be the first derivative of -g*z**2 - 1/15*z**3 - 1 + 0*z. Determine l so that u(l) = 0.
-1, 0
Let v be 15/36*6/10. Let z(t) be the second derivative of 2*t + 0 - 1/6*t**3 + v*t**2 + 1/24*t**4. Factor z(s).
(s - 1)**2/2
Let i(q) be the first derivative of -4*q**3/5 + 63*q**