- i**2. Let m(h) be the third derivative of p(h). Factor m(b).
-2*(b - 1)**3
Let z(v) be the first derivative of 2*v**2 + 1/3*v**3 + 4*v - 2. Factor z(u).
(u + 2)**2
Let r(z) = -36 + 252*z - 117*z**2 - 20 + 8. Let k(m) = 47*m**2 - 101*m + 19. Let q(j) = 12*k(j) + 5*r(j). Factor q(b).
-3*(b - 2)*(7*b - 2)
Let 1/5*a - 1/5*a**2 + 0 = 0. What is a?
0, 1
Suppose 0 = -4*x + 5*x - 3. Let l(k) = -k + 7. Let v be l(x). Factor 8*g**2 - 7*g**2 + 3*g**4 - v*g**4.
-g**2*(g - 1)*(g + 1)
Let w(y) = y + 13. Suppose -21 = 5*r + 34. Let u be w(r). Factor 0 - 1/2*n**3 - 1/2*n**u + 0*n.
-n**2*(n + 1)/2
Factor 0*b + 0 - 2/5*b**2.
-2*b**2/5
Let y = -51/2 - -161/6. Determine n, given that -y*n + 2*n**4 - 10/3*n**2 + 8/3*n**3 + 0 = 0.
-2, -1/3, 0, 1
Let q(n) be the second derivative of 3*n**5/20 + n**4/4 - n**3 + 8*n. Solve q(a) = 0 for a.
-2, 0, 1
Let f = 2/9 + -1/45. Let w(x) be the first derivative of 0*x - 2 - 1/10*x**2 + f*x**3 + 1/5*x**4. Factor w(r).
r*(r + 1)*(4*r - 1)/5
Factor -2 + 2 - 8*j + 3*j**2 - 31*j**2.
-4*j*(7*j + 2)
Let x be (-1 - (-2 + 0)) + -2. Let o(b) = -4*b**3 - 2*b**2 - 2*b - 1. Let z be o(x). What is j in -3*j**5 + 4*j**5 + j + 0*j**5 - 2*j**z = 0?
-1, 0, 1
Let j(w) = 2*w - 16. Let u be j(10). Solve -6*i**4 + 3*i**2 + 5*i**u + 9*i - 9*i**3 + 4*i**4 - 6 = 0.
-1, 1, 2
Suppose -p + 9*p = 16. Solve 22*l + 15*l**p - 8*l**4 + 4 + 9/2*l**5 - 31/2*l**3 = 0.
-1, -2/9, 2
Let p = 191 + -191. Let -1/4*c**4 + p + 0*c - 1/2*c**3 - 1/4*c**2 = 0. Calculate c.
-1, 0
Let a(l) = l**2 - 9*l - 8. Let o be a(10). Suppose -4*m**2 + 4*m**2 - 2 + m**o + 0*m - m = 0. Calculate m.
-1, 2
Let j(c) be the second derivative of c**6/165 - c**5/55 - c**4/66 + 2*c**3/33 - 3*c. Solve j(u) = 0 for u.
-1, 0, 1, 2
Let u(o) be the second derivative of -o**8/1680 + o**7/840 - 5*o**3/6 + 5*o. Let n(j) be the second derivative of u(j). Let n(a) = 0. What is a?
0, 1
Let k(y) = y**4 + y**3 - y**2. Let r(t) = -6*t**4 - 6*t**3 + 8*t**2 + t - 2. Let l(n) = -5*k(n) - r(n). What is q in l(q) = 0?
-2, -1, 1
Let f(r) be the second derivative of -11/6*r**4 + 0 - 2/5*r**5 - 5/3*r**3 + 3*r + 2*r**2. Factor f(k).
-2*(k + 1)*(k + 2)*(4*k - 1)
Let l be 4*(0 - 2)*2/(-12). What is w in -2/3*w + 2/3*w**2 - l = 0?
-1, 2
Let w(p) be the first derivative of 7*p**6/18 + 44*p**5/15 + 25*p**4/4 + 46*p**3/9 + 4*p**2/3 + 11. Find q such that w(q) = 0.
-4, -1, -2/7, 0
Let k = 1439/640 - -1/640. Suppose 1/2*m + k*m**3 - 5/4*m**4 + 0 - 7/4*m**2 + 1/4*m**5 = 0. What is m?
0, 1, 2
Let p(k) = -k**5 + k**4 - k**3 + k**2 - 1. Let u(a) = -3*a**5 + 2*a**4 + 4*a**3 + 10*a**2 + 3*a - 2. Let r(x) = 2*p(x) - u(x). Factor r(g).
g*(g - 3)*(g + 1)**3
Let u be (-40)/(-12) + (-4)/(-6). Factor -2/7*p**2 + p**u + 0*p + 0 + 5/7*p**3.
p**2*(p + 1)*(7*p - 2)/7
Let p(k) = k**3 - 7*k**2 + 5*k + 8. Let n be p(6). Let a be 9/42 - n/(-7). Suppose -7/4*l**4 - 11/4*l**2 + 0 + 4*l**3 + a*l = 0. What is l?
0, 2/7, 1
Let l = 841 - 4202/5. Factor 2/5 + 1/5*j**2 - l*j.
(j - 2)*(j - 1)/5
Let h(x) = -38*x**2 + 66*x - 20. Let j(u) = -13*u**2 + 22*u - 7. Let l(k) = 3*h(k) - 8*j(k). Let l(f) = 0. Calculate f.
1/5, 2
Let o(d) be the third derivative of -d**7/210 - d**6/60 + d**4/12 + d**3/6 - 38*d**2. Determine u so that o(u) = 0.
-1, 1
Let q(m) = -3*m**2 + 13*m - 9. Let b be q(8). Let t = 487/5 + b. Let 0*v**2 + t*v - 2/5*v**3 + 0 = 0. What is v?
-1, 0, 1
Let m = 6 - 4. Factor -4*t + 5*t - 2*t + 2 - t**m.
-(t - 1)*(t + 2)
Let u(p) be the third derivative of 0*p**3 - 1/120*p**6 + 0*p**7 + 0*p + 1/48*p**4 - 2*p**2 + 0*p**5 + 0 + 1/672*p**8. Suppose u(j) = 0. What is j?
-1, 0, 1
Let g(s) be the second derivative of -s**5/80 - s**4/48 + s**3/24 + s**2/8 - 6*s. Determine q, given that g(q) = 0.
-1, 1
Let t(p) be the first derivative of -18/35*p**5 + 3/7*p**2 - 15/7*p**4 - 2/7*p + 9/7*p**6 + 20/21*p**3 + 4. Find s such that t(s) = 0.
-1, -1/3, 1/3, 1
Let k(f) be the second derivative of -f**3 + 0*f**2 + 3/4*f**4 + 0 - 2*f - 3/20*f**5. Factor k(g).
-3*g*(g - 2)*(g - 1)
Let n = 10 - 5. Suppose 2*t**4 + t**2 - 3*t**2 + t**n + t - 2*t**5 = 0. Calculate t.
-1, 0, 1
Suppose 3*k + u - 4 = 0, -2*u = 4*k + 7 - 15. Let o be 0 - (5/(-2) + 2/4). Factor 1/2*p - 1/2*p**5 - p**o + 0*p**3 + k + p**4.
-p*(p - 1)**3*(p + 1)/2
Let r(h) be the third derivative of -4*h**6/15 + 7*h**5/30 - h**4/12 - h**3/3 + 4*h**2. Let z(v) = -v**2 - 1. Let q(y) = r(y) - 2*z(y). Factor q(a).
-2*a*(4*a - 1)**2
Determine h so that 0*h - 9/2*h**5 + 3/2*h**4 - 3/2*h**2 + 9/2*h**3 + 0 = 0.
-1, 0, 1/3, 1
Let v(j) be the third derivative of -j**5/300 - j**4/40 - 27*j**2. Determine d so that v(d) = 0.
-3, 0
Let k = 83/12 + -25/4. Let d = 152/3 + -50. Let -d*u**2 + k*u + 0 = 0. What is u?
0, 1
Suppose 4/11 + 6/11*u + 4/11*u**5 - 10/11*u**2 - 10/11*u**3 + 6/11*u**4 = 0. What is u?
-2, -1, -1/2, 1
Let x be 14/6 + 10/15. Let s = x - 1. Solve -1/2 + 1/2*r**s + 0*r = 0 for r.
-1, 1
Let l = 89/987 - 2/47. Let r(x) be the second derivative of x + 0*x**2 - 1/21*x**4 + 1/70*x**5 + l*x**3 + 0. Determine t, given that r(t) = 0.
0, 1
Let g be 24/(-84) + 13/21. What is x in -1/3*x + 0 - g*x**3 - 2/3*x**2 = 0?
-1, 0
Suppose -i - 2*i + 12 = 0. Let l be -1*(45/12 - i). Factor 1/4*c**3 - 1/4 + 1/4*c**2 - l*c.
(c - 1)*(c + 1)**2/4
Let w(k) = -k**2 + 6. Let u be w(0). Suppose -u + 4 = -2*i. Factor 28*a**2 + a + 14*a**3 + i - 5 - 4*a**2 + 5*a.
2*(a + 1)**2*(7*a - 2)
Let q(m) be the second derivative of m**7/14 + 17*m**6/30 + 17*m**5/10 + 7*m**4/3 + 4*m**3/3 - 50*m. Factor q(p).
p*(p + 1)*(p + 2)**2*(3*p + 2)
Suppose 0*s + 24 = 6*s. Let 5*u**4 - u**5 - 8*u**2 + 4*u**5 + 2*u**2 + u**s - 3*u = 0. What is u?
-1, 0, 1
Factor -2/9*h**2 + 2/3*h + 20/9.
-2*(h - 5)*(h + 2)/9
Let n = 1 - 1. Suppose -l - l = -7*l. Solve 4/7*m**4 + 2/7*m**3 + 0*m + 2/7*m**5 + n + l*m**2 = 0.
-1, 0
Let r(p) be the third derivative of p**7/105 + 2*p**6/45 + p**5/15 - p**3/9 - 12*p**2. Solve r(s) = 0.
-1, 1/3
Suppose 8*k - 3*k - 4*v = -35, -3*v - 26 = k. Let q = k - -11. Factor 1/3*a**2 - 1/3 + q*a.
(a - 1)*(a + 1)/3
Factor -4 + 4/3*n + 1/3*n**4 + 3*n**2 - 2*n**3.
(n - 3)*(n - 2)**2*(n + 1)/3
Let m(k) be the first derivative of -9*k**5/100 + k**4/5 - 2*k**3/15 + k - 3. Let x(c) be the first derivative of m(c). Let x(s) = 0. What is s?
0, 2/3
Let q(s) be the first derivative of -s**6/27 - 2*s**5/45 + s**4/18 + 2*s**3/27 - 4. Find v such that q(v) = 0.
-1, 0, 1
Let q = 46 + -22. Let h be -1 - 2*(-20)/q. Suppose 0 + 0*i**2 + 0*i + 4/3*i**4 - 2/3*i**3 - h*i**5 = 0. Calculate i.
0, 1
Let k(r) be the first derivative of 2*r**7/105 - r**5/5 + r**4/3 + 5*r**2/2 - 7. Let l(a) be the second derivative of k(a). Factor l(w).
4*w*(w - 1)**2*(w + 2)
Let b(g) = g**3 + 9*g**2 - 4*g + 4. Let o(h) = 10*h**2 - 5*h + 5. Let y(l) = 5*b(l) - 4*o(l). What is w in y(w) = 0?
-1, 0
Let w(p) be the third derivative of p**5/150 - p**3/15 + 3*p**2. Solve w(z) = 0 for z.
-1, 1
Let n be (-8)/(-32) + 13/4. Factor -j - n*j**2 + 0.
-j*(7*j + 2)/2
Let g(i) be the third derivative of -i**7/42 + i**5/6 - 5*i**3/6 + 10*i**2. Find a such that g(a) = 0.
-1, 1
Let v(t) be the second derivative of 3/34*t**5 + 1/51*t**3 + 0 + 9*t + 0*t**2 + 7/102*t**4 + 3/85*t**6. Let v(q) = 0. What is q?
-1, -1/3, 0
Let z be -1*-6*(-8)/(-24). Factor -2/3*i - 1/3 - 1/3*i**z.
-(i + 1)**2/3
Let 0 + 4/5*i**4 - 4/5*i**2 - 2/5*i + 0*i**3 + 2/5*i**5 = 0. Calculate i.
-1, 0, 1
Let f be (-3 - -2 - -6)*(-2)/(-45). Let v(s) be the first derivative of 0*s + 2 - f*s**3 + 1/3*s**2. Factor v(m).
-2*m*(m - 1)/3
Let s(u) be the second derivative of u**4/6 - 4*u**3/3 + 3*u**2 - 8*u. Factor s(a).
2*(a - 3)*(a - 1)
Let d = -36 - -41. Let v(f) be the third derivative of -1/24*f**3 - 1/48*f**4 + 0*f + 3*f**2 - 1/240*f**d + 0. Find i, given that v(i) = 0.
-1
Determine y, given that 15 - 3*y**4 - 25 + 10 - 81*y**2 + 27*y**3 + 81*y = 0.
0, 3
Let a be (-9 - -10)/((-11)/(-8)). Let x = 43/44 - a. Suppose -1/2*j**2 + x*j + 1/4 = 0. Calculate j.
-1/2, 1
Let t(m) be the third derivative of m**7/105 - m**6/30 - 2*m**5/5 - 7*m**4/6 - 5*m**3/3 - 33*m**2. Solve t(k) = 0 for k.
-1, 5
Let d be 5/(-25)*44/(-66). Factor -4/15 + 2/15*i**2 - d*i.
2*(i - 2)*(i + 1)/15
Let m = 4 + -2. Suppose -2 - o**2 + o + m - o**3 - 4 + 5 = 0. What is o?
-1, 1
Let m(l) be the second derivative of -9/4*l**2 + 0*l**3 + 0 - l - 1/15*l**5 + 1/4*l**4 + 1/180*l**6. Fa