d**4 + d**3 + d**2 + d + 1. Let c(u) = o*r(u) + q(u). Factor c(k).
3*(k - 1)**2*(k + 1)*(3*k - 1)
Let p(h) = 2*h**4 + 4*h**3 - 2*h**2 + 2*h. Let r(v) = -v**3. Let q(o) = p(o) + 6*r(o). Factor q(w).
2*w*(w - 1)**2*(w + 1)
Let n(m) = m**3 - 3*m**2 + 2*m - 4. Let i be n(3). Let 2/11 + 0*s - 2/11*s**i = 0. What is s?
-1, 1
Let p(t) be the third derivative of -t**6/60 - t**5/10 - t**4/6 + 13*t**2. Suppose p(i) = 0. What is i?
-2, -1, 0
Let q(c) be the second derivative of c**5/80 + c**4/24 - 21*c. Factor q(z).
z**2*(z + 2)/4
Let t(n) be the second derivative of n**6/30 + 3*n**5/10 + 5*n**4/12 - 27*n. Factor t(w).
w**2*(w + 1)*(w + 5)
Let q(b) be the third derivative of -6*b**2 + 0*b - 1/135*b**5 + 0*b**3 - 1/108*b**4 + 1/180*b**6 + 0. Factor q(g).
2*g*(g - 1)*(3*g + 1)/9
Let s(n) be the third derivative of n**6/24 - 5*n**4/8 - 5*n**3/3 - n**2. Factor s(l).
5*(l - 2)*(l + 1)**2
Solve 2/11*g**2 + 72/11 - 24/11*g = 0 for g.
6
Let a(g) be the first derivative of 7*g**6/8 + 3*g**5/10 - 21*g**4/16 - g**3/2 + 6. Find z, given that a(z) = 0.
-1, -2/7, 0, 1
Let f(m) be the first derivative of m**5/5 - m**4/4 + m**2/2 + 1. Let z(i) = -6*i**4 + 12*i**3 - 2*i**2. Let h(k) = 4*f(k) - z(k). Factor h(u).
2*u*(u - 1)**2*(5*u + 2)
Let u(t) be the third derivative of -t**5/690 + 3*t**4/46 - 27*t**3/23 - 13*t**2 + 3*t. Suppose u(c) = 0. What is c?
9
Let p(q) be the third derivative of 0*q**3 + 0*q - 3*q**2 + 1/60*q**6 + 0 - 1/15*q**5 + 1/12*q**4. Determine y, given that p(y) = 0.
0, 1
Let h be (-20)/(-24)*9/30. Let a be -2*(7/4 - 2). Factor 1/4 + h*n**2 - a*n.
(n - 1)**2/4
Let y(f) be the third derivative of f**5/100 - 7*f**4/40 + 3*f**3/5 + 32*f**2. Factor y(p).
3*(p - 6)*(p - 1)/5
Suppose 2*f + 10*f - 2*f = 0. Let 2/3*m**3 + 2*m**2 - 2*m**4 + f - 2/3*m = 0. Calculate m.
-1, 0, 1/3, 1
Let w(k) be the second derivative of k**6/6 - 5*k**4/12 - 4*k. Factor w(q).
5*q**2*(q - 1)*(q + 1)
Let f(i) = -9*i - 1. Let w be f(1). Let v be (-5 + 7)/(w/(-4)). Find l such that -14/5*l**2 + 0 - v*l + 4/5*l**3 + 14/5*l**4 = 0.
-1, -2/7, 0, 1
Let p(k) be the first derivative of -3*k**4/4 + 3*k**3 - 12*k - 3. What is z in p(z) = 0?
-1, 2
Let o = 492 - 3440/7. Determine z, given that 0 + o*z**4 + 16/7*z + 32/7*z**2 + 20/7*z**3 = 0.
-2, -1, 0
Let l = -63 - -65. Factor 7*u**l - 3*u**3 - 16/3*u + 4/3.
-(u - 1)*(3*u - 2)**2/3
Let c(a) = a - 2. Let d be c(4). Factor f - f**2 + 0 - d + 4.
-(f - 2)*(f + 1)
Let g(y) be the second derivative of -1/25*y**6 + 1/10*y**4 - y - 1/15*y**3 + 0 + 1/50*y**5 + 0*y**2. Solve g(t) = 0 for t.
-1, 0, 1/3, 1
Let j(t) = 3*t**5 - 4*t**4 - 3*t**3 + 4*t**2 + 4. Let z(p) = -3*p**5 + 3*p**4 + 3*p**3 - 3*p**2 - 3. Let a(v) = 3*j(v) + 4*z(v). Determine o so that a(o) = 0.
-1, 0, 1
Let j(q) be the first derivative of -1/9*q**6 - 3 + 0*q**5 + 0*q**3 - 1/3*q**2 + 0*q + 1/3*q**4. Find f, given that j(f) = 0.
-1, 0, 1
Let f(r) = r**2 - 4*r + 2. Let j(b) = b - 1. Let q(z) = -f(z) - 2*j(z). Factor q(x).
-x*(x - 2)
Solve -18/7*j - 20/21 - 10/7*j**2 - 4/21*j**3 = 0.
-5, -2, -1/2
Let u(c) be the third derivative of -c**8/252 + c**7/630 + c**6/30 + c**5/36 - c**4/36 - 2*c**2. Suppose u(x) = 0. Calculate x.
-1, 0, 1/4, 2
Let c(g) be the first derivative of 2*g**2 + 1/12*g**4 + g - 2/3*g**3 + 1. Let r(m) be the first derivative of c(m). Factor r(u).
(u - 2)**2
Let -1/3*p**2 - 1/3*p**4 + 0 - 2/3*p**3 + 0*p = 0. What is p?
-1, 0
Let n = 215/7 + -1061/35. Find i, given that 0 + 6/5*i**2 + n*i**3 + 4/5*i = 0.
-2, -1, 0
Let s(g) be the first derivative of 1 - 1/15*g**5 + 0*g + 1/3*g**3 + 0*g**4 - 1/3*g**2. What is q in s(q) = 0?
-2, 0, 1
Determine q so that -92*q - 5*q**2 + 92*q + 2*q**2 = 0.
0
Let i(x) be the second derivative of -x**5/5 - 5*x**4/6 - 2*x**3/3 + 2*x. Determine g, given that i(g) = 0.
-2, -1/2, 0
Factor 6*d**3 - 6*d - d**4 - 4*d**2 + 4 + 2*d**2 - d**4.
-2*(d - 2)*(d - 1)**2*(d + 1)
Factor -5*w + w**3 - 6 + 3*w - 4*w**2 - 5*w - 4*w.
(w - 6)*(w + 1)**2
Factor 3/7*j**3 + 1/7*j**4 + 3/7*j**2 + 0 + 1/7*j.
j*(j + 1)**3/7
Let h(b) = 3*b**3 + 6*b**2 + 5*b. Let z be (-12)/(-1)*21/(-28). Let c(v) = 12*v**3 + 24*v**2 + 21*v. Let a(j) = z*h(j) + 2*c(j). Solve a(n) = 0 for n.
-1, 0
Let t(s) = s**5 - 6*s**4 + 11*s**3 + s**2 - 9*s + 11. Let x(z) = -4*z**5 + 24*z**4 - 44*z**3 - 3*z**2 + 37*z - 43. Let c(p) = -22*t(p) - 6*x(p). Factor c(j).
2*(j - 2)**3*(j - 1)*(j + 1)
Let f(r) = r - r**2 + 0*r + 0*r. Let l(n) = -2*n**2 + 5*n + 1. Let i(d) = -3*f(d) + l(d). Factor i(u).
(u + 1)**2
Let q(l) be the first derivative of 4*l**3 - 6*l**2 + 3 + 0*l - 3/4*l**4. Find p, given that q(p) = 0.
0, 2
Let d be (-4 + 0 - -2) + (-1 - -6). Suppose 75/4*n**4 + 3 - 105/2*n**d - 21*n + 207/4*n**2 = 0. Calculate n.
2/5, 1
Let b(c) be the first derivative of -2*c**4/15 - c**3/15 - 2*c - 2. Let w(o) be the first derivative of b(o). Solve w(i) = 0.
-1/4, 0
Let j(w) be the first derivative of w**6/15 + 12*w**5/25 + 6*w**4/5 + 16*w**3/15 + 5. Factor j(u).
2*u**2*(u + 2)**3/5
Let t(k) = k**5 + k**4 + k**3 + k**2 + k - 1. Let z(p) = -5*p**5 - 2*p**4 - 8*p**3 - 18*p**2 + 3*p + 6. Let a(v) = 6*t(v) + z(v). Let a(f) = 0. Calculate f.
-3, 0, 1
Let a(p) = -p. Let u be 1*4*4/(-16). Let s(v) = 2*v**2 - 16*v. Let y(z) = u*s(z) + 12*a(z). Determine g so that y(g) = 0.
0, 2
Let x(m) be the first derivative of -3*m**5/5 - 27*m**4/4 - 21*m**3 - 57*m**2/2 - 18*m + 64. Find d, given that x(d) = 0.
-6, -1
Let x(p) be the third derivative of 0 + 1/210*p**5 + 1/42*p**4 - p**2 - 1/420*p**6 + 0*p + 0*p**3. Factor x(u).
-2*u*(u - 2)*(u + 1)/7
Suppose 7*c + 7 = -7. Let v be (c - 5/(-2))*0. Let 1/2*q**2 + v*q + 1/2*q**3 + 0 = 0. Calculate q.
-1, 0
Let l(a) be the third derivative of -a**8/420 - 2*a**7/525 + a**6/30 - a**5/25 + 8*a**2. Determine w so that l(w) = 0.
-3, 0, 1
Let z(b) be the third derivative of -b**8/840 - b**7/525 + b**6/100 + b**5/30 + b**4/30 + 5*b**2. Factor z(f).
-2*f*(f - 2)*(f + 1)**3/5
Let h be (-1 - -6)*(-50)/(-125). Let g(f) be the third derivative of 0*f + 1/90*f**5 + f**h + 0 - 1/36*f**4 + 0*f**3. Factor g(v).
2*v*(v - 1)/3
Factor 1/3*l**2 - 1/3*l**4 + 0*l - 1/3*l**5 + 0 + 1/3*l**3.
-l**2*(l - 1)*(l + 1)**2/3
Let x be 23/6 + (-1)/(-6). Let z(w) be the third derivative of 0*w + 0*w**3 - 2*w**2 + 0*w**x + 0 + 1/20*w**6 + 1/30*w**5. Find a, given that z(a) = 0.
-1/3, 0
Let z(v) be the second derivative of -v**6/40 + 9*v**5/80 - v**4/16 - 3*v**3/8 + 3*v**2/4 + 3*v. Determine l, given that z(l) = 0.
-1, 1, 2
Let q(v) = 31*v**3 - 160*v**2 + 66*v - 6. Let w(y) = -435*y**3 + 2240*y**2 - 925*y + 85. Let o(a) = -85*q(a) - 6*w(a). Suppose o(h) = 0. What is h?
0, 2/5, 6
Suppose 0*n - 4*n = -16. Factor g**4 - g**2 - g + 0*g**n + g**3 + 0*g.
g*(g - 1)*(g + 1)**2
Let x(h) be the second derivative of -2*h + 0*h**2 + 1/14*h**5 + 0 - 1/21*h**4 + 1/15*h**6 + 0*h**3. Factor x(d).
2*d**2*(d + 1)*(7*d - 2)/7
Let m(x) be the second derivative of x**4/9 + x**3/9 - x**2/3 + x. What is y in m(y) = 0?
-1, 1/2
Let i(t) be the second derivative of -t**4/3 - 10*t**3/3 - 8*t**2 + 8*t. Solve i(j) = 0.
-4, -1
Let l = 13 + -19. Let g be (l/4)/(0 - 3). Solve -1/2*i**3 + 0*i**2 + g*i - 1/4 + 1/4*i**4 = 0.
-1, 1
Let u(c) = -4*c**3 - 6*c + 4*c**2 - 3 - 4 + 1. Let w(s) = 6*s**2 - 4*s**3 + s**3 - 11*s - 11 + s**2 - 4*s**3. Let t(i) = 11*u(i) - 6*w(i). Factor t(z).
-2*z**2*(z - 1)
Let n be 3/(-2) - (26/12 + -4). Factor n - 1/3*q**3 - q + q**2.
-(q - 1)**3/3
Let x(v) be the second derivative of 0 + 1/30*v**5 + 0*v**3 + 0*v**4 + 3*v + 0*v**6 - 1/63*v**7 + 0*v**2. Factor x(j).
-2*j**3*(j - 1)*(j + 1)/3
Let m(f) be the second derivative of f**4/6 + f**3/3 - 20*f. Determine q so that m(q) = 0.
-1, 0
Let z be 8/(-48) - 1/(-5). Let s(i) be the second derivative of 0*i**2 + 1/18*i**4 - i - z*i**5 + 1/63*i**7 + 0 - 1/45*i**6 + 0*i**3. Factor s(w).
2*w**2*(w - 1)**2*(w + 1)/3
Let n(s) = -39*s**4 - 5*s**3 - 3*s**2. Let t(h) = -h**4 + h**3 - h**2. Let i(c) = -n(c) + 3*t(c). Solve i(x) = 0 for x.
-2/9, 0
Suppose 2*n - v + 8 = 0, 4 = 5*n + 4*v + 11. Let l = 5 + n. Factor 0*x**3 - 4/7*x**4 + 2/7*x**5 - 2/7*x + 0 + 4/7*x**l.
2*x*(x - 1)**3*(x + 1)/7
Let m(c) be the first derivative of -4*c**5/5 + 8*c**3 - 16*c**2 + 12*c + 7. Determine r so that m(r) = 0.
-3, 1
Let i be 0/3 + 3 + 0. Let j(z) be the second derivative of 0 + 1/5*z**2 - 1/75*z**6 + 2/15*z**i + 0*z**