of -1/90*a**k + a**2 + 0*a**3 - 1/210*a**7 + 1/36*a**4 + 1/180*a**5 + 0*a + 0. Factor b(c).
-c*(c + 1)**2*(3*c - 2)/3
Let c(w) = -w**2 - 9*w + 12. Let u be c(-10). Suppose -u*n = -5*n. Let n + 4/3*h**4 + 1/3*h**2 + 5/3*h**3 + 0*h = 0. What is h?
-1, -1/4, 0
Let o(v) = -17*v**2 + 4*v - 3. Let j(g) = g**3 - 2*g**2 + g + 1. Let b be j(2). Let w(k) = -6*k**2 + k - 1. Let a(u) = b*o(u) - 8*w(u). Solve a(l) = 0 for l.
1/3, 1
Find x, given that -19*x**4 + 17*x**4 + 4*x**3 - 2*x**3 = 0.
0, 1
Let h be 4/2 - (-136)/(-85). Factor -2/5*n**2 - h*n**3 + 0 + 2/5*n**5 + 0*n + 2/5*n**4.
2*n**2*(n - 1)*(n + 1)**2/5
Suppose 14*r + 6 = 17*r. Let i(y) be the first derivative of 0*y**3 + 1 + 2*y**2 - y**4 - r*y + 2/5*y**5. Factor i(m).
2*(m - 1)**3*(m + 1)
Suppose -2 + 22 = 5*a. Suppose 5*y = -4*f + 41, -a = 3*f - 5*y + 9. Let 0 - 5/3*c**f + 0*c**2 + 2/3*c**3 + 0*c + c**5 = 0. Calculate c.
0, 2/3, 1
Factor -5*j - 12*j - 8 + 14*j**2 - 7*j.
2*(j - 2)*(7*j + 2)
Let v = -477713/40 - -11942. Let y = 3/8 - v. What is p in 0 - y*p**2 + 0*p + 3/5*p**3 = 0?
0, 2
Determine c, given that 26 + 11*c**2 + 10*c**2 - 28*c - 19*c**2 = 0.
1, 13
What is w in 1 - 4 + 6*w**4 + 8*w - 12*w**2 - 8*w**4 + 1 + 8*w**3 = 0?
1
Let z(h) be the second derivative of 7*h**6/90 + 3*h**5/20 + h**4/18 + 26*h. Solve z(l) = 0 for l.
-1, -2/7, 0
Let k(t) be the first derivative of 1/2*t**3 + 1/8*t**4 - 4 + 1/2*t + 3/4*t**2. Factor k(m).
(m + 1)**3/2
Let g(k) = -8*k**3 - 6*k**2 + 2*k - 6. Let m(q) = 15*q**3 + 12*q**2 - 5*q + 11. Let j(h) = -11*g(h) - 6*m(h). Factor j(z).
-2*z*(z - 1)*(z + 4)
Let h(w) be the second derivative of w**5/70 + w**4/14 - 4*w**2/7 - 8*w. Let h(b) = 0. What is b?
-2, 1
Solve 0*t + 0 + 2/3*t**4 + 1/6*t**2 + 5/6*t**3 = 0.
-1, -1/4, 0
Let c(f) be the third derivative of f**6/60 + 7*f**5/30 - 16*f**2. Factor c(k).
2*k**2*(k + 7)
Let m(j) = -8*j**3 + 4*j**2 - 4. Let d(k) = k**5 - k**4 + 9*k**3 - 4*k**2 + 5. Let g(h) = -4*d(h) - 5*m(h). What is i in g(i) = 0?
-1, 0, 1
Let t(a) = -3*a**2 + 8*a + 21. Let i(x) = -x**2 + 4*x + 11. Let n(z) = 5*i(z) - 3*t(z). Factor n(k).
4*(k - 2)*(k + 1)
Factor -24/13*h + 18/13*h**2 + 8/13.
2*(3*h - 2)**2/13
Let a(r) be the third derivative of r**6/360 - r**5/180 - r**4/72 + r**3/18 - 29*r**2. Factor a(y).
(y - 1)**2*(y + 1)/3
Let d(q) be the first derivative of -q**6/12 + 9*q**5/5 - 97*q**4/8 + 24*q**3 - 16*q**2 - 43. Factor d(x).
-x*(x - 8)**2*(x - 1)**2/2
Let m(d) = 21*d**2 - 63*d - 18. Let p(g) = -6*g**2 + 18*g + 5. Let v(a) = 5*m(a) + 18*p(a). Solve v(s) = 0 for s.
0, 3
Factor 1/4 - 1/4*t**2 + 1/4*t - 1/4*t**3.
-(t - 1)*(t + 1)**2/4
Factor -15/2*u + 3/2*u**4 - 21/2*u**2 + 15/2*u**3 + 9.
3*(u - 1)**2*(u + 1)*(u + 6)/2
Let s(u) = u + 8. Let c be s(-4). Let y be c/2 + -1 - -4. Factor 2*n**4 - 4*n**3 - n**2 + 3*n**3 + n**y - n**4.
n**2*(n - 1)*(n + 1)**2
Let s(j) = -j**3 + 2*j**2 + j. Let l be s(3). Let d = 13/2 + l. Solve 1/4*x**5 - 1/2*x**3 + d*x**2 - 1/4*x**4 - 1/4 + 1/4*x = 0 for x.
-1, 1
Let p(w) be the first derivative of w**5/10 - w**4/4 + w**2/2 - w/2 + 30. Find y such that p(y) = 0.
-1, 1
Let u(l) be the first derivative of -l**4/12 + l**3/3 - l**2/2 + l - 1. Let o(n) be the first derivative of u(n). Factor o(d).
-(d - 1)**2
Let b be (-299)/(-104) - (-1)/8. Suppose 3 - 3*x**2 - x**2 + b*x + x**2 + 3 = 0. What is x?
-1, 2
Let i(d) be the third derivative of -d**7/105 - d**6/60 - d**5/15 + d**4/3 - d**3 + 4*d**2. Let a(s) = s**2 - s + 1. Let b(x) = -6*a(x) - i(x). Factor b(u).
2*u*(u - 1)*(u + 1)**2
Suppose 0 = -0*t - 3*t, 3*a + 4*t - 291 = 0. Factor 97*m - m**2 - a*m + 1.
-(m - 1)*(m + 1)
Let f = -11/16 - -175/208. Factor -2/13 - 4/13*v + 4/13*v**3 + f*v**4 + 0*v**2.
2*(v - 1)*(v + 1)**3/13
Let d be (-2)/(-1)*-1 - -5. Find k, given that -1/2*k**5 + 0 + 0*k + 0*k**2 + k**4 - 1/2*k**d = 0.
0, 1
Let r(s) be the third derivative of s**8/6720 - s**6/240 + s**5/60 + s**4/4 + s**2. Let w(b) be the second derivative of r(b). Factor w(k).
(k - 1)**2*(k + 2)
Let k(p) be the third derivative of -p**7/840 + p**6/120 + 3*p**5/40 + p**4/24 + 5*p**2. Let x(y) be the second derivative of k(y). Solve x(r) = 0 for r.
-1, 3
Factor 4*p**4 - 66*p**5 - 68*p**5 + 132*p**5.
-2*p**4*(p - 2)
Factor 3/4*q**4 + 0*q + 0 + 5/4*q**3 + 1/2*q**2.
q**2*(q + 1)*(3*q + 2)/4
Suppose 6*d**2 + 2*d**4 - 40*d - 14*d**3 + 23*d**2 + 7*d**2 + 8 + 8 = 0. Calculate d.
1, 2
Let n be (-3 + 8)*30/75. Let 0 + 0*m**n + 3/5*m - 3/5*m**3 = 0. Calculate m.
-1, 0, 1
Let o(u) be the first derivative of u**5/20 + u**4/4 + u**3/2 + u**2/2 - 4. Let d(h) be the second derivative of o(h). Solve d(c) = 0 for c.
-1
Suppose 2 = -t + 2*t + 3*y, y = 0. Suppose 3*r - t*r**4 - 9*r**2 - 3*r + 5*r**4 + 6*r = 0. What is r?
-2, 0, 1
Let g(k) be the second derivative of 1/24*k**3 - 1/8*k**2 + 0 - 1/80*k**5 + 4*k + 1/48*k**4. Determine n so that g(n) = 0.
-1, 1
Suppose 50/3 + 4*a**2 + 16/3*a**3 - 80/3*a + 2/3*a**4 = 0. What is a?
-5, 1
Let j(w) be the second derivative of -w**4/16 + w**3/6 + w**2/2 - 9*w. Factor j(i).
-(i - 2)*(3*i + 2)/4
Let z(q) be the third derivative of q**5/150 - q**4/30 - q**3/5 + 7*q**2. Find j, given that z(j) = 0.
-1, 3
Let s(p) be the third derivative of -1/3*p**4 + 0 + 0*p + 1/30*p**5 - p**2 + 4/3*p**3. Factor s(j).
2*(j - 2)**2
Factor 0 - 15/7*o - 3/7*o**2.
-3*o*(o + 5)/7
Let d = 6172/7217 - -2/1031. Let -6/7*z**3 + 2/7*z**4 + d*z**2 + 0 - 2/7*z = 0. What is z?
0, 1
Let u(a) be the second derivative of a + 2/3*a**4 + 0 + 0*a**2 + 1/10*a**5 + 4/3*a**3. Solve u(f) = 0.
-2, 0
Let x be 4/(44/23 + -2). Let u be ((-1)/(-2))/((-115)/x). Determine d, given that u*d**2 - 1/5 + 0*d = 0.
-1, 1
Let v = 6 - 4. Let 0*h**3 - 5*h - h**3 - 2 - 2*h**2 - v*h**2 = 0. Calculate h.
-2, -1
Let h be 4*(1 - 4/8). Suppose -3*b**3 - 13*b - 15*b**h - 9 - 9*b + b = 0. What is b?
-3, -1
Suppose -2*x + 6 = -0*x. Let m(o) be the second derivative of x*o + 0*o**2 - 1/15*o**6 + 0*o**3 + 0*o**5 + 1/6*o**4 + 0. Suppose m(a) = 0. Calculate a.
-1, 0, 1
Suppose -5*b = 5*k - 25, -5*k + 3*k - 4*b + 20 = 0. Let n be (k/(-2))/(-2 - -4). Let 1/2*u**3 + n*u**2 + 0*u + 0 + 1/2*u**4 = 0. Calculate u.
-1, 0
Let i(w) = 145*w**3 - 300*w**2 + 60*w + 145. Let c(z) = 12*z**3 - 25*z**2 + 5*z + 12. Let u(m) = 25*c(m) - 2*i(m). Solve u(g) = 0 for g.
-1/2, 1, 2
Let d(h) be the first derivative of 7/10*h**5 + 3/8*h**2 + 1/2*h - 6 - 9/8*h**4 - 4/3*h**3 + 5/8*h**6. Find g such that d(g) = 0.
-1, -1/3, 2/5, 1
Let -4*c**4 + c - c + 42*c**5 + 2*c**3 - 40*c**5 = 0. What is c?
0, 1
Let r(t) = -15*t**5 - 9*t**4 - 15*t**3 - 9*t**2 - 6*t. Let d(s) = -s**5 - s**3 - s**2. Let j(u) = 18*d(u) - r(u). Suppose j(l) = 0. What is l?
-1, 0, 1, 2
Let w(f) be the first derivative of -f**5/40 + f**3/4 - f**2/2 + 3*f/8 - 7. Let w(x) = 0. What is x?
-3, 1
Solve -15 + 69*z**2 - 10 - 35*z**2 - 39*z**2 + 30*z = 0 for z.
1, 5
Suppose 3*o = -2*p - 6, 95*p - 93*p = 2*o + 14. What is l in 1/5*l**p + 1/5*l**2 + 0 + 0*l = 0?
-1, 0
Let u(s) be the first derivative of s**6/2 - 6*s**5/5 - 3*s**4/4 + 2*s**3 - 18. Factor u(n).
3*n**2*(n - 2)*(n - 1)*(n + 1)
Let d(g) be the second derivative of 0 - 7/6*g**4 + 0*g**2 + 4*g + 1/3*g**3. Factor d(l).
-2*l*(7*l - 1)
Let h(a) be the third derivative of -1/21*a**4 + 1/105*a**5 - 1/1260*a**6 + 0*a + 2*a**2 + 1/6*a**3 + 0. Let y(x) be the first derivative of h(x). Factor y(w).
-2*(w - 2)**2/7
Suppose 3*i = -2*q + 10, 4 = 2*q - 3*q + 3*i. Let 3*d**q - d**2 - 8*d + 10*d = 0. Calculate d.
-1, 0
Let g = 220/3 - 70. Determine k, given that g*k + 10/3*k**5 - 20/3*k**3 + 4/3*k**4 + 4/3 - 8/3*k**2 = 0.
-1, -2/5, 1
Let x(z) be the second derivative of 7*z**5/20 + z**4/2 - z**3/6 + 2*z**2 + 6*z. Let i(j) = -j**3 + j - 1. Let v(y) = -4*i(y) - x(y). Let v(f) = 0. What is f?
-1, 0
Let x(h) be the first derivative of -275/32*h**4 - 25/8*h**5 - h - 35/4*h**3 - 8 - 17/4*h**2. Factor x(g).
-(g + 1)*(5*g + 2)**3/8
Factor -14*b - 10*b + 6693*b**2 - 6697*b**2.
-4*b*(b + 6)
Let v(j) be the third derivative of 0*j + 1/105*j**7 + 4/9*j**3 + 9*j**2 - 4/45*j**6 + 29/90*j**5 + 0 - 5/9*j**4. Let v(r) = 0. What is r?
1/3, 1, 2
Let a(v) be the third derivative of -v**9/241920 + v**8/40320 - v**7/20160 + v**5/60 - 3*v**2. Let g(z) be the third derivative of a(z). Factor g(w).
-w*(w - 1)**2/4
Suppose 3/8*i**2 + 3/2*i - 15/8 = 0. Calculate i.
-5, 1
Suppose -2*v = -11*x +