/21 + 22*k. What is r in y(r) = 0?
0, 1
Let q(i) = -24*i**2 + 98*i + 14. Let y(b) = -5*b**2 + 20*b + 3. Let a(d) = 3*q(d) - 14*y(d). Factor a(g).
-2*g*(g - 7)
Let j(x) = 8*x**2 - 5. Let q(m) = -7*m**2 + 4. Let b(k) = 4*j(k) + 5*q(k). What is c in b(c) = 0?
0
Let h = 18 + -13. Let g(n) be the second derivative of -n + 0 - 1/120*n**6 - 3/16*n**4 - 1/4*n**2 + 1/16*n**h + 7/24*n**3. Factor g(u).
-(u - 2)*(u - 1)**3/4
Let y be 3/6*0/1. Let d(q) be the second derivative of y + q - 1/90*q**5 + 0*q**2 - 1/27*q**3 + 1/27*q**4. Let d(m) = 0. What is m?
0, 1
Let -1/7*f**4 + 1/7*f**2 + 1/7*f + 0 - 1/7*f**3 = 0. What is f?
-1, 0, 1
Let m(n) = n**2 + 4*n + 5. Let d be m(-4). Let c be 2/8*d*4. Factor -w**2 + 3*w**2 + c*w - 4 - 4*w - 3*w.
2*(w - 2)*(w + 1)
Let b be (26/(-12) + 3)/(15/9). Factor -4*y - 8 - b*y**2.
-(y + 4)**2/2
Let x(i) = 5*i**2 - 38*i. Let s(t) = -35*t**2 + 265*t. Let o(y) = 3*s(y) + 20*x(y). Factor o(z).
-5*z*(z - 7)
Factor 0 - 2/3*w**2 - 1/3*w**4 + 0*w + w**3.
-w**2*(w - 2)*(w - 1)/3
Determine p so that 57/5*p - 36/5 - 24/5*p**2 + 3/5*p**3 = 0.
1, 3, 4
Let y be (-213)/(-45) + -4 - 2/6. Suppose -6/5*d**3 - 2/5*d**2 + 6/5*d + y = 0. What is d?
-1, -1/3, 1
Let t(j) = -4*j**3 - 8*j**2 + 10*j - 4. Let d(f) = f**3. Let y(v) = -6*d(v) - t(v). Let y(n) = 0. Calculate n.
1, 2
Let s(u) be the third derivative of -15*u**8/448 - u**7/24 + 5*u**6/24 - u**5/12 - 10*u**2. Determine r, given that s(r) = 0.
-2, 0, 2/9, 1
Let w(c) = 9*c**2 + 9*c + 6. Let b(d) = -19*d**2 - 19*d - 13. Suppose 4*s - 9 = -33. Let o(i) = s*b(i) - 13*w(i). Factor o(v).
-3*v*(v + 1)
Let 6*c**3 + 18*c**4 - 26*c**4 + 2*c**3 - 2*c**2 = 0. What is c?
0, 1/2
Let q(c) = -2*c - 12. Let b be q(-8). Factor -b*a - 5 + 2 - 1 - a**2.
-(a + 2)**2
Let v(y) = -8*y**2 + y + 7. Let h(a) = 4*a**2 - a - 3. Let n(o) = 7*h(o) + 3*v(o). Factor n(w).
4*w*(w - 1)
Let o(j) be the second derivative of 2*j**6/15 - 4*j**5/5 + 2*j**4/3 + 8*j**3/3 - 6*j**2 - 3*j. Factor o(k).
4*(k - 3)*(k - 1)**2*(k + 1)
Let j be ((-5)/10)/((-6)/40). Determine z, given that -1/3*z**2 + 0 - 2/3*z + j*z**3 = 0.
-2/5, 0, 1/2
Let r(l) be the first derivative of 2*l**3/3 + 4*l**2 + 8*l + 16. Factor r(s).
2*(s + 2)**2
Let u = -13 - -40/3. Factor -1/3*q**2 + 1/3 - 1/3*q + u*q**3.
(q - 1)**2*(q + 1)/3
Let b(i) be the third derivative of i**6/600 + i**5/300 - i**4/120 - i**3/30 - 4*i**2. Determine c, given that b(c) = 0.
-1, 1
Let b = -39 - -122/3. Let 2/3*x**2 + b*x**5 + 0 - 8/3*x**4 + 1/3*x**3 + 0*x = 0. What is x?
-2/5, 0, 1
Let o(w) be the second derivative of -1/2*w**4 - 7*w + 3/20*w**5 + 0*w**2 + 1/2*w**3 + 0. Factor o(c).
3*c*(c - 1)**2
Factor -4*z**3 - 9*z**2 - 2 - z**2 + z**2 - 8*z - z**2.
-2*(z + 1)**2*(2*z + 1)
Let d(h) be the first derivative of h**4/14 - 2*h**3/3 + 15*h**2/7 - 18*h/7 - 17. Factor d(x).
2*(x - 3)**2*(x - 1)/7
Let t(j) be the third derivative of j**8/1176 + 2*j**7/735 - j**5/105 - j**4/84 - j**2 - 26. Factor t(h).
2*h*(h - 1)*(h + 1)**3/7
Suppose -5*a - 26 = -7*k + 4*k, -a = 3*k - 2. Factor -2/9*w + 2/9*w**k + 0.
2*w*(w - 1)/9
Let u(d) be the third derivative of 1/54*d**4 + 1/270*d**5 + 0*d**3 - d**2 + 0 + 0*d. Factor u(w).
2*w*(w + 2)/9
Let r = -31 + 37. Let s(k) be the second derivative of 0*k**3 - 1/3*k**4 - 2*k + 0*k**2 + 0 - 1/30*k**r + 1/5*k**5. Factor s(u).
-u**2*(u - 2)**2
Let n = -154 - -156. Let h = 2/45 + 37/180. Determine o, given that -h*o + 1/2*o**n - 1/4 = 0.
-1/2, 1
Let f(l) be the first derivative of 3*l**4/4 - 18. Determine m so that f(m) = 0.
0
Let r(t) = 5*t**3 + 4*t**2 + 2. Let q(o) = 4*o**3 + 3*o**2 + 2. Let y(u) = 4*q(u) - 3*r(u). Let c(g) be the first derivative of y(g). Factor c(w).
3*w**2
Suppose -p + 6*p = 25. Let a be (-14)/(-5) - p/(-25). Suppose -3/4*t + 1/4 - 1/4*t**2 + 3/4*t**a = 0. What is t?
-1, 1/3, 1
Let z(a) be the first derivative of 9/5*a**2 + 27/5*a + 1/5*a**3 - 2. Determine d so that z(d) = 0.
-3
Let n(m) = -5*m**3 - 3 + 2*m**3 - 2*m**3 + 5*m**2 + m. Let x(h) = h**3 - h**2 + h + 1. Let g(r) = n(r) + 3*x(r). Let g(q) = 0. What is q?
-1, 0, 2
Let u = 27/13 + -217/117. Let a = 19/45 - u. Factor 1/5*c**4 + a*c - 1/5*c**2 + 0 - 1/5*c**3.
c*(c - 1)**2*(c + 1)/5
Let m(n) = -n - 3. Let d be m(-4). Let y(o) = o**4 - o**3 + o + 1. Let v(x) = x**4 - 9*x**3 + 12*x**2 + 9*x - 3. Let u(g) = d*v(g) - 5*y(g). Solve u(b) = 0.
-2, -1, 1
Let a be (-3)/3 + (-8)/(-2). Suppose 0 = j + a*j - 16. Factor -1/2*u + 2*u**3 - 3/4*u**2 + 0 - 3/4*u**j.
-u*(u - 2)*(u - 1)*(3*u + 1)/4
Factor 50*i - i**3 - 40*i**2 + 2*i**3 + 30*i + 4*i**3.
5*i*(i - 4)**2
Let c(b) = b**3 - 13*b**2 + 12*b + 2. Let o be c(12). Factor 3 - q**o - 4*q - 1 - 6.
-(q + 2)**2
Let u(m) be the first derivative of 2/21*m**3 - 2/7*m + 2 + 0*m**2. Determine w, given that u(w) = 0.
-1, 1
Let g(l) be the third derivative of -l**6/120 + l**4/24 - 25*l**2. Factor g(o).
-o*(o - 1)*(o + 1)
Let p(h) be the second derivative of -h**6/10 - 18*h**5/5 - 83*h**4/2 - 132*h**3 - 363*h**2/2 - 4*h + 8. Determine c, given that p(c) = 0.
-11, -1
Let r(c) be the second derivative of 5*c**7/42 - c**6/3 - 3*c**5/4 + 10*c**4/3 - 10*c**3/3 + 37*c. Suppose r(i) = 0. What is i?
-2, 0, 1, 2
Let 4/3*x**2 - 8/3*x**3 - 2/3*x**5 - 2/9*x + 0 + 20/9*x**4 = 0. What is x?
0, 1/3, 1
Let v(a) = -4*a**5 + 4*a**4 - 2*a**3 + 2*a**2. Let q(l) = 7*l**5 - 7*l**4 + 3*l**3 - 3*l**2. Let g(d) = -6*q(d) - 10*v(d). Factor g(r).
-2*r**2*(r - 1)**2*(r + 1)
Let a = 2 + -3. Let v be (-1 + a)*(-6)/(-4). Let w(b) = -b**2 + b - 3. Let z(h) = 1. Let o(q) = v*z(q) - w(q). Factor o(p).
p*(p - 1)
Let k(w) be the first derivative of -w**5/180 + w**4/72 + w**3/9 - 9*w**2/2 - 2. Let t(o) be the second derivative of k(o). Suppose t(z) = 0. What is z?
-1, 2
Let g(t) be the third derivative of t**10/10080 - t**9/2520 + t**7/420 - t**6/240 + t**4/6 - 5*t**2. Let k(s) be the second derivative of g(s). Factor k(x).
3*x*(x - 1)**3*(x + 1)
Let a(f) be the third derivative of 0*f**3 + 4*f**2 + 0 - 1/60*f**5 + 0*f + 1/48*f**4 + 1/240*f**6. Factor a(k).
k*(k - 1)**2/2
Let q = -29/7 + 811/189. Let m(k) be the second derivative of 0 - q*k**3 + 3*k + 2/27*k**4 + 1/9*k**2. Solve m(h) = 0.
1/2
Let u be (-1)/((1/2)/((-72)/48)). Factor 0*w**2 + 0*w + 2/3*w**u - 2/9*w**4 + 0.
-2*w**3*(w - 3)/9
Let v(b) = -b**3 + b**2 + 23*b - 39. Let p be v(2). Solve 3/5*d**4 - 6/5*d**p + 0*d + 0 + 0*d**2 = 0 for d.
0, 2
Let b = -1 + 3. Suppose 0 = b*j - 4 - 6. What is c in c + 2*c**2 + 2*c - j*c = 0?
0, 1
Let h(s) be the second derivative of -2*s**6/75 + 2*s**5/5 - 13*s**4/15 - 8*s**3 - 72*s**2/5 + 38*s. What is z in h(z) = 0?
-1, 6
Let g = 43 - 43. Factor g - 32/7*y**3 - 2/7*y + 16/7*y**2.
-2*y*(4*y - 1)**2/7
Let q be -16*7/(-14) - 6. Factor 6/5 - 3*j + 12/5*j**q - 3/5*j**3.
-3*(j - 2)*(j - 1)**2/5
Let s = -4/3 + 11/6. Let y(m) be the first derivative of -s*m**4 - 1 + 0*m**2 + 0*m + 2/3*m**3. Solve y(l) = 0 for l.
0, 1
Solve -3*w + 3*w**4 + 21*w**3 + 3*w**2 - 6*w**4 - 18*w**3 = 0.
-1, 0, 1
Let k(v) be the third derivative of -v**9/15120 - v**8/10080 + v**7/2520 + 7*v**5/60 - 7*v**2. Let h(y) be the third derivative of k(y). Factor h(p).
-2*p*(p + 1)*(2*p - 1)
Let z(t) be the first derivative of -t**4/6 - 2*t**3/3 - t**2 + t + 4. Let v(q) be the first derivative of z(q). Determine a, given that v(a) = 0.
-1
Let m(p) = 4*p**5 - 9*p**4 + 5*p**3 + 5*p**2 - 5*p + 5. Let w(o) = o**4 - o**3 - o**2 + o - 1. Let z(c) = m(c) + 5*w(c). Factor z(y).
4*y**4*(y - 1)
Let i(x) be the first derivative of 0*x**4 + 0*x**2 + 0*x**3 + 0*x + 5 + 1/5*x**5. Factor i(u).
u**4
Let r(j) be the first derivative of 0*j + 3 + 1/16*j**4 - 1/6*j**3 + 1/8*j**2. Factor r(q).
q*(q - 1)**2/4
Let x(j) be the first derivative of -j**6/1260 - j**5/420 + 2*j**3/3 - 1. Let g(w) be the third derivative of x(w). Factor g(n).
-2*n*(n + 1)/7
Let l(t) be the first derivative of 0*t**2 - 2/5*t**5 - 2/3*t**3 + t**4 + 0*t + 3. Factor l(o).
-2*o**2*(o - 1)**2
Let i(s) be the first derivative of -8*s**3/3 + 10*s**2/3 - 4*s/3 - 14. Suppose i(q) = 0. Calculate q.
1/3, 1/2
Let g(x) be the second derivative of x**7/14 - 3*x**5/20 + 4*x. Factor g(o).
3*o**3*(o - 1)*(o + 1)
Let t(m) be the first derivative of m**6/12 + 3*m**5/10 + m**4/8 - m**3/2 - m**2/2 - 4. Factor t(o).
o*(o - 1)*(o + 1)**2*(o + 2)/2
Let i(v) be the third derivative of -5*v**2 + 0*v**3 + 0 + 0*v - 1/210*v**5