late f.
1, 2
Factor -3*y - y**2 - 12 + 4 + 6.
-(y + 1)*(y + 2)
Let a(r) be the first derivative of -1 + 1/3*r**3 + r**2 - 3*r. Factor a(m).
(m - 1)*(m + 3)
Suppose i + 1 + 0 = 0. Let c be (-1)/(-1 + i)*0. Let -b**2 - 2 - 9*b**3 + c + 7*b - b**3 = 0. What is b?
-1, 2/5, 1/2
Let j = 7 + -5. Factor 4*y**4 + 6*y**2 + 3*y**3 + 5*y**3 - 8 - j*y**4 - 8*y.
2*(y - 1)*(y + 1)*(y + 2)**2
Let k(s) be the third derivative of -5*s**8/112 + 11*s**7/210 + 37*s**6/480 - 3*s**5/40 - 5*s**4/96 + s**3/12 + 8*s**2. Find c, given that k(c) = 0.
-1/2, 1/3, 2/5, 1
Let g(v) be the first derivative of 5*v**6/3 + 14*v**5/5 - 13*v**4/2 - 22*v**3/3 + 8*v**2 + 8*v + 1. Find x, given that g(x) = 0.
-2, -1, -2/5, 1
Let o(v) = 21*v**4 + 30*v**3 + 20*v**2 - 11. Let q(l) = -11*l**4 - 15*l**3 - 10*l**2 + 6. Let t(c) = 6*o(c) + 11*q(c). Determine z, given that t(z) = 0.
-2, -1, 0
Solve -2/3*c**2 + 2/3 + 0*c = 0.
-1, 1
Let l(x) be the first derivative of -x**4/6 - 2*x**3/9 + x**2/3 + 2*x/3 + 8. Factor l(y).
-2*(y - 1)*(y + 1)**2/3
Let j(o) be the second derivative of -1/28*o**4 + 4*o + 0 - 1/7*o**3 + 0*o**2. Factor j(l).
-3*l*(l + 2)/7
Let o(y) be the second derivative of y**6/60 + y**5/40 - y**4/4 - y**3/3 + 2*y**2 - 33*y. Suppose o(r) = 0. What is r?
-2, 1, 2
Let f be 6/14*6*4/36. Determine l so that -2/7*l**5 + 6/7*l**3 + 2/7*l**4 - f*l**2 - 4/7*l + 0 = 0.
-1, 0, 1, 2
Let -289*s + 3*s**3 + 288*s - 2*s**2 + s**3 - 5*s**3 = 0. Calculate s.
-1, 0
Let q(w) = -w**3 - 8*w**2 + 10*w + 12. Let m be q(-9). Suppose -m*y + 6 = 3*u, -2*u + 5*y + 26 = 2*u. Let -2 + t**2 + 0*t**2 - 3*t**2 - u*t = 0. Calculate t.
-1
Let i = 50 + -48. Factor i*a**3 + 0 + 4/7*a**2 + 0*a.
2*a**2*(7*a + 2)/7
Let m(f) be the second derivative of f**5/10 - f**4/18 - 8*f**3/27 + 4*f**2/9 + 5*f. Solve m(q) = 0 for q.
-1, 2/3
Let f(z) be the third derivative of -z**7/280 + z**5/80 - z**2. What is l in f(l) = 0?
-1, 0, 1
Let -4/11*u**4 + 4/11*u**3 + 8/11*u**2 - 4/11 - 2/11*u - 2/11*u**5 = 0. Calculate u.
-2, -1, 1
Let d(z) be the second derivative of 0 + 4*z - 1/5*z**5 - 1/3*z**4 - 1/5*z**2 - 1/105*z**7 - 1/3*z**3 - 1/15*z**6. Factor d(l).
-2*(l + 1)**5/5
Suppose -k = -0*k - 2. Suppose -q + 30 = 5*v, -3*v + 8*v = -3*q + 20. Factor -9*j**2 - 2 + v*j**k + 2*j - 6*j.
-2*(j + 1)**2
Let w(l) be the second derivative of l**9/5040 - l**7/700 + l**5/200 - 7*l**3/6 - 5*l. Let z(h) be the second derivative of w(h). Determine n so that z(n) = 0.
-1, 0, 1
Let j(q) be the third derivative of 0*q + 1/20*q**5 - 1/40*q**6 + 0*q**3 - 2*q**2 + 0 + 0*q**4. Factor j(z).
-3*z**2*(z - 1)
Let u be 1/3 - 15/(-9). Factor h**3 - 43*h - 2*h**u + 43*h.
h**2*(h - 2)
Let l(y) be the first derivative of 5*y**6/6 - 4*y**5 + 15*y**4/2 - 20*y**3/3 + 5*y**2/2 + 4. Factor l(o).
5*o*(o - 1)**4
Let n(c) be the first derivative of c**4/12 - c**3 + 4*c**2 - 16*c/3 - 3. Find b such that n(b) = 0.
1, 4
Let q(b) = -2*b**2 - 9*b - 1. Let z be q(-4). Let c(s) be the first derivative of 6*s**2 - 13/3*s**z - 1/5*s**5 - 4*s + 3/2*s**4 - 2. Let c(h) = 0. What is h?
1, 2
Factor 0 + 3/4*k**5 + 3/4*k**4 - 3/4*k**2 - 3/4*k**3 + 0*k.
3*k**2*(k - 1)*(k + 1)**2/4
Let k(r) be the first derivative of -r**5/80 + r**4/48 - 3*r - 3. Let j(n) be the first derivative of k(n). Solve j(i) = 0.
0, 1
Let x(q) be the first derivative of 0*q + q + 4 + 2*q**2 + q**3 + 0*q. Suppose x(w) = 0. Calculate w.
-1, -1/3
Let z(n) be the third derivative of -n**5/120 + n**4/16 - 44*n**2. Factor z(m).
-m*(m - 3)/2
Let h = -40 + 125. Let z = h - 167/2. Factor -z - 1/6*j**2 - j.
-(j + 3)**2/6
Solve -3*c**2 - 3*c**2 + 9*c**2 - 3 + 0 = 0.
-1, 1
Let i be (-5 - 0)*(-96)/720. Let o be 4/6 + (0 - 0). Find f, given that i*f**2 - 4/3 + o*f = 0.
-2, 1
Let q = 8 - 4. Let o = 6 - q. Factor 4*i**3 - 1 - 2*i**2 - o*i**4 + 1.
-2*i**2*(i - 1)**2
Let a(j) be the second derivative of -j**8/84 + 4*j**7/105 - j**6/30 - 4*j**2 - 5*j. Let c(r) be the first derivative of a(r). Factor c(l).
-4*l**3*(l - 1)**2
Let g(l) be the third derivative of -l**6/30 - 7*l**5/45 - 5*l**4/18 - 2*l**3/9 + 10*l**2. Determine d, given that g(d) = 0.
-1, -1/3
Let n(k) be the first derivative of k**6/3 - 7*k**5/5 + k**4 + 4*k**3/3 - 7. Factor n(a).
a**2*(a - 2)**2*(2*a + 1)
Let z = -89 + 292/3. Let t(y) be the first derivative of 10*y**5 + 1 + 8*y - z*y**6 - 58/3*y**3 + 29/2*y**4 - 4*y**2. Determine v so that t(v) = 0.
-1, -2/5, 2/5, 1
Let o be 2 + 10/105*-18. Suppose 6/7*c**3 + 2/7*c + 0 + o*c**4 + 6/7*c**2 = 0. Calculate c.
-1, 0
Let k(y) be the second derivative of y**4/78 - 2*y**3/13 + 9*y**2/13 - 8*y. Factor k(h).
2*(h - 3)**2/13
Let f(a) be the first derivative of 1 - 1/3*a**2 + 1/6*a**4 + 2/15*a**5 - 2/9*a**3 + 0*a. Let f(l) = 0. What is l?
-1, 0, 1
Suppose -2*n = 2*n - 28. Let m = n + -2. Determine a so that -2*a**3 - 6*a**4 + 2*a**4 + 0*a**4 - 2*a**m = 0.
-1, 0
Let k(j) be the third derivative of j**8/336 + j**7/105 - j**6/30 - 2*j**5/15 - 7*j**2. Factor k(o).
o**2*(o - 2)*(o + 2)**2
Let j(m) be the third derivative of m**7/504 + m**6/180 + m**5/150 - m**4/8 - 4*m**2. Let z(r) be the second derivative of j(r). Factor z(k).
(5*k + 2)**2/5
Let g = -30 + 33. Let a(n) be the first derivative of 0*n**2 + 4 + 0*n**g + 2/45*n**5 + 0*n + 1/18*n**4. Solve a(i) = 0.
-1, 0
Let u = 133 + -130. Let f(j) be the second derivative of -1/6*j**4 + 1/6*j**3 + u*j + 0 + 1/2*j**2. Solve f(o) = 0 for o.
-1/2, 1
Let i(g) be the first derivative of -3*g**4/28 + 6*g**3/7 + 57. Factor i(y).
-3*y**2*(y - 6)/7
Let q = 8/3 - 2. Factor -q - 8/3*b**2 + 10/3*b.
-2*(b - 1)*(4*b - 1)/3
Factor -81/7*m**2 - 4/7 + 36/7*m.
-(9*m - 2)**2/7
Factor 4*r**3 + 5*r**5 + 3*r**5 - 8*r**4 + 0*r**5 - 4*r**5.
4*r**3*(r - 1)**2
Let z(y) = 8*y**5 + 4*y**4 + 4*y**3 - 9*y**2 - 5*y + 5. Let g(u) = 7*u**5 + 4*u**4 + 4*u**3 - 8*u**2 - 5*u + 4. Let n(p) = -7*g(p) + 6*z(p). Factor n(s).
-(s - 1)*(s + 1)**3*(s + 2)
Let s = 8/51 - -266/255. Suppose 0*y**3 + 0 + 4/5*y - 2/5*y**4 + s*y**2 = 0. What is y?
-1, 0, 2
Let p(l) be the second derivative of l**8/840 - l**7/210 + l**6/180 - l**3/3 - 3*l. Let j(v) be the second derivative of p(v). Factor j(z).
2*z**2*(z - 1)**2
Suppose 5*j = 9*j. Solve 3/4*p**3 + 3/4*p + j + 3/2*p**2 = 0 for p.
-1, 0
Let v(w) = -w + 1. Let t be v(-2). Determine o so that -7*o**3 - o**2 - 3*o - 7*o**t - 17*o**2 - o = 0.
-1, -2/7, 0
Let j(y) = -2*y**2 - 3. Let l(v) = -1 - 5*v**2 + 2*v**2 + 2*v**2. Let c(m) = j(m) - 3*l(m). Determine q so that c(q) = 0.
0
Let z(f) = 21*f**4 + 6*f**3 + 3*f. Let t(p) = -2*p + 5*p - 4*p. Let r(u) = 3*t(u) + z(u). Factor r(d).
3*d**3*(7*d + 2)
Let d be ((-3 - 45/(-12))*-2)/(-6). Factor -d*y**2 + 1/4 + 0*y.
-(y - 1)*(y + 1)/4
Let j(c) = -c**3 + c**2. Let r = 4 + -5. Let g be j(r). Solve 0*o**g + 2/5*o**3 + 0*o + 0 = 0 for o.
0
Let m(w) = -w**5 + 6*w**4 - 4*w**2 + w. Let a(c) = 3*c**5 - 24*c**4 + 15*c**2 - 3*c. Let r(f) = 2*a(f) + 9*m(f). Factor r(t).
-3*t*(t - 1)**3*(t + 1)
Let q(a) = -5*a - 3. Let z be q(-2). Let p = -5 + z. Solve m**3 - m**5 + p*m**5 - 2*m**5 = 0 for m.
-1, 0, 1
Suppose 0 = 2*y - 0*y. Let h(r) be the second derivative of -1/12*r**4 + y*r**5 - r + 0 + 1/60*r**6 + 1/4*r**2 + 0*r**3. Factor h(w).
(w - 1)**2*(w + 1)**2/2
Let b(a) = 35*a**5 - 145*a**4 - 5*a**3 + 85*a**2. Let f(d) = -d**4 - d**2 + d. Let w(s) = b(s) - 30*f(s). Suppose w(l) = 0. What is l?
-1, 0, 2/7, 1, 3
Let z(y) be the third derivative of 1/120*y**6 + 0*y - 1/630*y**7 - 1/36*y**4 + 1/180*y**5 + 0 - 3*y**2 + 0*y**3 - 1/1008*y**8. Let z(k) = 0. What is k?
-2, -1, 0, 1
Let s(y) be the second derivative of -y**8/2240 + y**7/280 - y**6/120 + y**4/3 + y. Let q(h) be the third derivative of s(h). Factor q(z).
-3*z*(z - 2)*(z - 1)
Let o(p) be the first derivative of 2*p**3/21 + p**2/7 - 8. Factor o(b).
2*b*(b + 1)/7
Let j(t) = 1. Let y(m) = -9*m**3 - 11*m**2 - 2*m - 3. Let p(b) = -3*j(b) - y(b). Suppose p(s) = 0. Calculate s.
-1, -2/9, 0
Let g(j) be the second derivative of j**6/75 - 3*j**5/50 + j**4/15 + 9*j. Factor g(h).
2*h**2*(h - 2)*(h - 1)/5
Let 3*r**2 - 7*r**5 - 7*r**2 - 5*r**5 + 4*r**4 + 12*r**3 = 0. What is r?
-1, 0, 1/3, 1
What is k in -12/5*k**4 - 8/5*k**3 + 8/5*k**2 + 12/5*k + 4/5 - 4/5*k**5 = 0?
-1, 1
Let k(h) be the third derivative of h**7/525 + h**6/150 - 11*h**2. Find z such that k(z) = 0.
-2, 0
Let q(s) = -s - 1. Let i be q(-5). Suppose o - 15 = -3*x