 2*j**m - 6*j**4 - 4*j + 0*j.
-2*j*(j - 1)**2*(3*j + 2)
Suppose -2*u + 0 = -4. Suppose -u*b + 7 = -1. Find m, given that -2*m**4 - 2*m**5 + 2*m**3 - 2*m + 2 + 4*m**2 + 2*m**3 - b = 0.
-1, 1
Let f(z) be the third derivative of -z**5/420 - 11*z**4/84 - 121*z**3/42 + 10*z**2 + 2*z. Factor f(k).
-(k + 11)**2/7
Let c(x) be the second derivative of -2*x**6/15 - x**5 - 2*x**4 + 8*x**3/3 + 16*x**2 + 2*x. Find w, given that c(w) = 0.
-2, 1
Let c be 10/6 - (-1 - (-12)/18). Factor 9/2 + 3*p + 1/2*p**c.
(p + 3)**2/2
Let m(i) be the second derivative of -i**4/30 + 2*i**3/5 + 7*i**2/5 + 39*i. Find k, given that m(k) = 0.
-1, 7
Suppose -1/5*f**2 + 6/5 + f = 0. Calculate f.
-1, 6
Let x be ((-19)/38)/(22/(-24)). Let -x*d**2 + 0*d + 2/11*d**3 + 8/11 = 0. Calculate d.
-1, 2
Suppose -10*o = -7*o - 9. Let g(z) be the first derivative of -3 + 0*z**2 + 2/3*z - 2/9*z**o. Determine w so that g(w) = 0.
-1, 1
Suppose -3*r - 4*i + 352 = 0, 2*r + 5*i = 4*r - 204. Let f = r - 441/4. Suppose 1/4 - 1/2*w - w**3 - f*w**2 = 0. What is w?
-1, 1/4
Let -21 + 30 + 27 - 24*f + 4*f**2 = 0. What is f?
3
Let f(l) be the first derivative of -3*l**4/16 - l**3/6 + 3*l**2/8 + l/2 + 3. Factor f(v).
-(v - 1)*(v + 1)*(3*v + 2)/4
Let h(g) = -g**2 + 4. Let t be h(2). Let t - 2/3*c**2 + 0*c = 0. Calculate c.
0
Let x = -10 + 8. Let y = 5 + x. Solve 0*g**2 + 0*g - 1/4*g**y + 0 = 0 for g.
0
Let p = -2/113 - -3061/565. Factor -p - 3/5*i**2 + 18/5*i.
-3*(i - 3)**2/5
Let j be 17/3 - 12/18. Let h(v) be the third derivative of 2*v**2 + 0*v + 0 - 1/15*v**3 - 1/150*v**j - 1/30*v**4. Let h(n) = 0. Calculate n.
-1
Let x(g) be the first derivative of -g**6/36 + g**5/30 + g**4/12 - g**3/9 - g**2/12 + g/6 + 20. Factor x(b).
-(b - 1)**3*(b + 1)**2/6
Let d(l) be the first derivative of 16/5*l**2 - 5/2*l**4 - 8/5*l - 2/3*l**3 + 2. Factor d(j).
-2*(j + 1)*(5*j - 2)**2/5
Let r(y) = 5*y**3 + 5*y**2 - y. Let k(m) = -11*m**3 - 10*m**2 + 3*m + 1. Let n(u) = 6*k(u) + 13*r(u). Let z be n(6). Factor 0*h**2 - 1/2*h**3 + 0*h + z.
-h**3/2
Let k(s) be the second derivative of -s**5/40 + s**4/24 - 15*s. Solve k(l) = 0 for l.
0, 1
Factor -72/7 - 24/7*r - 2/7*r**2.
-2*(r + 6)**2/7
Let t(n) = n**2 - 4*n - 11. Let i be t(6). Let k(a) be the first derivative of -i - 3/4*a**2 - a - 1/6*a**3. Factor k(l).
-(l + 1)*(l + 2)/2
Let y(v) = -v**2 - 6*v + 2. Let x be y(-6). Suppose z = -x*z. Suppose z*i**2 + 0 + 2/5*i**4 + 0*i + 2/5*i**3 = 0. What is i?
-1, 0
Let x(n) = 2*n - 7. Let m be x(6). Let s be (m/(5/2))/2. Suppose -s + 5*h - 2*h**3 + h**4 - 3*h + 0 = 0. Calculate h.
-1, 1
Let v(g) be the second derivative of 2*g**5/55 - g**4/22 - g**3/33 - 6*g. Determine d, given that v(d) = 0.
-1/4, 0, 1
Let h(n) = 15*n**2 - 40*n - 25. Let o(l) = 8*l**2 - 20*l - 12. Suppose -4*p - 4*d = -0*p, -5*d = 20. Let y(j) = p*h(j) - 9*o(j). Determine k so that y(k) = 0.
-1/3, 2
Let o(m) be the third derivative of -m**6/240 + m**5/120 + m**4/48 - m**3/12 + m**2. Determine l so that o(l) = 0.
-1, 1
Let u(m) be the first derivative of 0*m + 0*m**2 + 0*m**3 + 2 - 3/4*m**4 - 1/2*m**6 - 6/5*m**5. Factor u(b).
-3*b**3*(b + 1)**2
Let r(u) be the second derivative of -2*u**7/147 - 2*u**6/105 + 2*u**5/35 + 2*u**4/21 - 2*u**3/21 - 2*u**2/7 + 15*u - 3. Find l such that r(l) = 0.
-1, 1
Let w(b) be the second derivative of b**8/168 - b**7/35 + b**6/20 - b**5/30 + 5*b**2/2 + 5*b. Let o(t) be the first derivative of w(t). Factor o(z).
2*z**2*(z - 1)**3
Let k(m) be the third derivative of -m**7/210 + m**6/120 + m**5/20 - m**4/24 - m**3/3 + m**2. Factor k(z).
-(z - 2)*(z - 1)*(z + 1)**2
Let z(j) be the second derivative of -3*j**7/14 - 2*j**6/5 + 3*j**5/10 + j**4 + j**3/2 - 9*j. Solve z(c) = 0 for c.
-1, -1/3, 0, 1
Let y(h) be the third derivative of h**5/30 + h**4/6 + h**3/3 + 5*h**2. Factor y(s).
2*(s + 1)**2
Suppose -9 = -5*t + 16. Let h(u) be the third derivative of 0 + 0*u**3 + 0*u - u**2 + 1/60*u**4 - 1/150*u**t. Determine g, given that h(g) = 0.
0, 1
Let h = 5 - 1. Let i(u) = -u - 2. Let o be i(-4). Factor -h - 2*p + 0*p**2 + 3*p**o - p**2.
2*(p - 2)*(p + 1)
Let h(l) = -3*l - 57. Let d be h(-20). Solve 1/4*g**d + 1/4*g**2 - 1/4*g - 1/4 = 0 for g.
-1, 1
Suppose 6 = -d - 1. Let i(s) = 8*s**3 - 8*s**2 - s - 6. Let w(x) = -7*x**3 + 7*x**2 + x + 5. Let y(b) = d*w(b) - 6*i(b). Factor y(k).
(k - 1)**2*(k + 1)
Let w(h) = h - 12. Let b be w(14). Factor 3*v**4 - 5*v**4 + 0*v**4 + 2*v**b.
-2*v**2*(v - 1)*(v + 1)
Let u(k) = k**2 + 3*k + 2. Let y(i) = i**2 - 8*i - 2. Let g be y(8). Let n be u(g). What is q in 2/5*q + n - 2/5*q**3 + 0*q**2 = 0?
-1, 0, 1
Let k(z) be the first derivative of z**8/105 - z**7/210 + 2*z**3/3 + 7. Let g(y) be the third derivative of k(y). Factor g(x).
4*x**3*(4*x - 1)
Factor 1188*k + 96*k**3 + 3*k**4 + 4956*k + 9509 + 1152*k**2 + 2779.
3*(k + 8)**4
Suppose 2*d - 13 = r, 3*d - 5*r = -0*d + 30. Suppose -d*n = -9*n. Factor -1/3*z**2 + n + 1/3*z.
-z*(z - 1)/3
Let b(i) be the second derivative of i**7/2100 + i**6/900 - i**3/2 - i. Let p(y) be the second derivative of b(y). Factor p(j).
2*j**2*(j + 1)/5
Let q(j) be the third derivative of j**7/735 - 2*j**5/105 + 33*j**2. Solve q(f) = 0 for f.
-2, 0, 2
Let h be 14/6 - (-4)/(-12). Factor -2*r**h - 4 - 4 - 4 + 4 + 8*r.
-2*(r - 2)**2
Let s(n) = -4*n. Let d(g) = -g**3 + g**2 + g + 1. Let f be d(2). Let k be s(f). Factor 3*w**2 + 5 - 5*w**2 + w**k - 4.
(w - 1)**2*(w + 1)**2
Let u = 8092/5 - 68469/35. Let n = -337 - u. Find c such that -n*c - 10/7*c**2 + 4/7 = 0.
-1, 2/5
Let n = 24 - 3. Let d be 1 + 69/n - 4. Factor -d*i**3 + 4/7*i**2 + 0*i + 0.
-2*i**2*(i - 2)/7
Let f(c) be the third derivative of -c**8/3840 - 13*c**7/5040 - c**6/144 + c**5/60 + c**4/3 - 5*c**2. Let v(r) be the second derivative of f(r). Factor v(q).
-(q + 2)**2*(7*q - 2)/4
Let d(b) be the first derivative of -30/7*b**2 - 18/7*b + 5 - 50/21*b**3. Factor d(z).
-2*(5*z + 3)**2/7
Let s(m) be the second derivative of 3*m + 0*m**2 + 1/36*m**4 + 0*m**5 + 0*m**3 + 0 - 1/90*m**6. Let s(u) = 0. What is u?
-1, 0, 1
Let q(t) be the second derivative of -2*t**6/15 + 4*t**5/5 - 2*t**4 + 8*t**3/3 - 2*t**2 - 4*t. Let q(c) = 0. Calculate c.
1
Factor 1/3*a + 0 + 5/3*a**2 + 4/3*a**3.
a*(a + 1)*(4*a + 1)/3
Let a(k) be the third derivative of 0 + 0*k + k**2 - 2/39*k**3 - 2/195*k**5 - 5/156*k**4 - 1/780*k**6. Factor a(p).
-2*(p + 1)**2*(p + 2)/13
Let f be 6/4 - (-2)/4. Let g be (-2)/(3 - f) + 2. Factor -8/3*h**3 - 1/3 + 2*h**2 + h**4 + g*h.
(h - 1)**3*(3*h + 1)/3
Let q(d) be the third derivative of d**5/600 + d**4/240 - d**3/30 - 17*d**2. Determine r so that q(r) = 0.
-2, 1
Suppose -t**5 - 13*t**4 - 24*t**2 + 2*t**4 - t**2 - 6*t - 27*t**3 - 2*t = 0. What is t?
-8, -1, 0
Let y(f) = 12*f**3 + f**2 - 4*f. Let c(m) = 0 + m + 0 - 23*m**3 - m**2 + 7*m. Let p(s) = -3*c(s) - 7*y(s). Factor p(n).
-n*(3*n + 2)*(5*n - 2)
Let g(n) = n**2 + 5*n - 2. Let s(a) = -2*a**2 - 11*a + 4. Let j(c) = -9*g(c) - 4*s(c). Determine u so that j(u) = 0.
-2, 1
Let t = -5 + 8. Solve i**3 + i**t + 2*i**2 - i**3 + 3*i - 2*i = 0.
-1, 0
Factor 0 + 36/5*k**4 + 16*k**3 + 8/5*k + 52/5*k**2.
4*k*(k + 1)**2*(9*k + 2)/5
Let l(b) be the first derivative of -3 + 1/12*b**3 + 1/24*b**4 + b + 0*b**2. Let z(r) be the first derivative of l(r). Factor z(o).
o*(o + 1)/2
Let h = 0 - 0. Suppose -3*i + 3*z = 0, 3*i + 4*z - 14 = -h*z. Factor -2 + 0*g**2 - i*g**2 - g - 3*g.
-2*(g + 1)**2
Let q(g) be the first derivative of g**2 + 1/30*g**5 - 1 + 0*g + 1/24*g**4 + 0*g**3 + 1/120*g**6. Let p(y) be the second derivative of q(y). Factor p(x).
x*(x + 1)**2
Let b be (-2)/(-4)*10/15. Let f(k) be the first derivative of -k**2 + 0*k + 0*k**4 + 2 - 4/5*k**5 + 4/3*k**3 + b*k**6. Solve f(o) = 0.
-1, 0, 1
Let f(z) = -11*z**4 + 3*z**3 + 6*z**2 - 10*z + 6. Let p(l) = 12*l**4 - 4*l**3 - 5*l**2 + 11*l - 7. Let k(r) = 7*f(r) + 6*p(r). Factor k(n).
-n*(n - 1)*(n + 2)*(5*n - 2)
Let c(s) be the first derivative of -1/36*s**4 + 0*s + 2/27*s**3 + 2*s**2 + 2 - 1/135*s**5. Let q(f) be the second derivative of c(f). Factor q(a).
-2*(a + 2)*(2*a - 1)/9
Let d(w) be the first derivative of w**6/15 - 4*w**5/25 + 4*w**3/15 - w**2/5 - 8. What is i in d(i) = 0?
-1, 0, 1
Let c(s) be the second derivative of -s**7/189 + s**5/90 - 23*s. Suppose c(v) = 0. Calculate v.
-1, 0, 1
Suppose -2*h - 3 = -11. Factor -5*p + h + 0*p - 6 - 8*p**2 - 3*p.
-2*(2*p + 1)*