-3 + 3) - -11. Let d(f) = 2*f**2 - 2. Let k(t) = -6*t**2 + t + 5. Let r(w) = p*d(w) + 4*k(w). Factor r(q).
-2*(q - 1)**2
Let t(y) be the third derivative of y**5/20 - y**4/4 + 15*y**2. Suppose t(n) = 0. What is n?
0, 2
Suppose -5*m + x = -45, 5*m + 3*x - 45 = -0*x. Determine o so that 13*o - 2*o**2 - m*o + 0*o**2 = 0.
0, 2
Let r = -1823/7 - -261. Factor -2/7*k - 2/7*k**2 + r.
-2*(k - 1)*(k + 2)/7
Let a(m) = -20*m**2 + 332*m + 136. Let j(i) = 10*i**2 - 166*i - 68. Let s(c) = 6*a(c) + 14*j(c). Factor s(o).
4*(o - 17)*(5*o + 2)
Let p(k) be the third derivative of -k**8/1512 - k**7/945 - 5*k**2. Suppose p(z) = 0. Calculate z.
-1, 0
Let z(y) be the first derivative of y**4 - 8*y**3/3 - 8*y**2 + 32*y + 41. Suppose z(j) = 0. What is j?
-2, 2
Let k(d) be the second derivative of -d**6/45 + d**4/18 - 7*d. Solve k(x) = 0.
-1, 0, 1
Let a(t) be the second derivative of 6*t - 1/14*t**7 + 2*t**4 + 0 - 1/5*t**6 + 3/10*t**5 + 7/2*t**3 + 3*t**2. Solve a(g) = 0 for g.
-1, 2
Factor -2/7*g**5 - 2/7*g**2 + 0 + 2/7*g**3 + 2/7*g**4 + 0*g.
-2*g**2*(g - 1)**2*(g + 1)/7
Let w(s) be the first derivative of -s**5/5 + 3*s**4/4 + s**3/3 - 3*s**2/2 - 17. Let w(r) = 0. Calculate r.
-1, 0, 1, 3
Let c(q) = -q**3 - 2*q**2 - 2*q. Let m be c(-2). Let 3 - 3 - 3*r**2 + 2*r**m + 2*r - r**4 = 0. Calculate r.
-2, 0, 1
Find d, given that 23/4*d**3 - 5*d**2 - 7/4*d**4 + 0 + d = 0.
0, 2/7, 1, 2
Suppose -3 = -2*v + 3. Factor -8*g + 2*g**v + 2 + 6*g**2 - 2*g + 16*g.
2*(g + 1)**3
Find o, given that o**3 + 4464 - 4464 - o + o**4 - o**2 = 0.
-1, 0, 1
Let c = 102/5 + -20. Let p(x) be the first derivative of -1 + c*x**3 - 2/5*x + 2/5*x**2. Factor p(j).
2*(j + 1)*(3*j - 1)/5
Let j(x) be the second derivative of x**4/30 + 2*x**3/3 + 5*x**2 - 25*x. Determine a so that j(a) = 0.
-5
Let w(t) = 27*t**2 + 40*t + 8. Let x(q) = 14*q**2 + 20*q + 4. Let r(i) = -2*w(i) + 5*x(i). Suppose r(d) = 0. Calculate d.
-1, -1/4
Let x(d) be the first derivative of -d**2 + 0*d + 1/2*d**4 + 2/5*d**5 - 3 - 2/3*d**3. Factor x(h).
2*h*(h - 1)*(h + 1)**2
Determine y, given that 0*y**2 + 0*y + 0 + 2/17*y**3 + 2/17*y**4 = 0.
-1, 0
Let d(c) be the first derivative of -c**6/8 + 3*c**5/20 - 7. Determine q, given that d(q) = 0.
0, 1
Let j(d) be the second derivative of -d**7/294 + d**6/42 - d**5/14 + 5*d**4/42 - 5*d**3/42 + d**2/14 + 14*d. Let j(s) = 0. What is s?
1
Let i(o) be the second derivative of -o**6/180 - o**5/30 - o**4/18 + 11*o. What is j in i(j) = 0?
-2, 0
Factor 1/5 - 2/5*g**2 + 0*g**3 + 0*g + 1/5*g**4.
(g - 1)**2*(g + 1)**2/5
Let m(t) = t**5 - 3*t**4 + 17*t**3 + 32*t**2 + 11*t - 5. Let v(q) = q**5 + q**4 + q**3 - q - 1. Let d(y) = m(y) - 5*v(y). Suppose d(a) = 0. Calculate a.
-2, -1, 0, 2
Let w(z) be the second derivative of -25*z**7/42 - z**6 + 23*z**5/4 + 35*z**4/3 - 10*z**3 - 40*z**2 + 30*z. Solve w(h) = 0 for h.
-2, -1, 4/5, 2
Let m(z) be the first derivative of z**3/9 - z**2/3 + 5. Solve m(a) = 0.
0, 2
Let f(o) be the first derivative of -9/2*o**3 - 81/4*o - 3/4*o**4 - 27/2*o**2 + 4 - 1/20*o**5. Factor f(v).
-(v + 3)**4/4
Factor 0*v**3 + 0*v - 3/5*v**5 + 0*v**2 + 0 - 3/5*v**4.
-3*v**4*(v + 1)/5
Let b be (-2)/(-8)*-2*0. Let u = b - -2. Factor -2/3*v**3 - 10/3*v**u - 8/3 - 16/3*v.
-2*(v + 1)*(v + 2)**2/3
Solve -1/9*q**3 + 1/3*q + 0*q**2 - 2/9 = 0 for q.
-2, 1
Let p be ((-26)/130)/((-12)/40). Factor 4/3 + 2*g + p*g**2.
2*(g + 1)*(g + 2)/3
Suppose -5*z + 0*v - v = -13, v = -4*z + 11. Suppose -4*p**z + 6*p**4 - 1 - 3*p - 3*p + 1 + 2*p**5 + 4*p**3 - 2 = 0. Calculate p.
-1, 1
Let q(l) be the first derivative of l**4/10 - l**2/5 + 11. Solve q(u) = 0 for u.
-1, 0, 1
Let j be (-2 + 2)/(7/(8 + -1)). Let r(g) be the second derivative of j + 0*g**2 + 0*g**3 + 1/48*g**4 - 3*g. Let r(b) = 0. Calculate b.
0
Let f(h) = h**3 + h**2 + h. Let c(b) = 7*b**3 + 7*b**2 + 14*b. Let m(g) = -3*c(g) + 24*f(g). Suppose m(z) = 0. Calculate z.
-3, 0, 2
Let i(f) = 5 + f**3 + 2 - 3*f**3 + 3*f**3 - 6*f**2. Let c be i(6). Solve 0*n**2 + c*n**2 - 2*n**2 - 4*n**2 + n = 0.
-1, 0
Let i(j) be the third derivative of -4*j**2 - 1/840*j**7 - 1/48*j**5 + 0*j + 0*j**3 - 1/48*j**4 - 1/120*j**6 + 0. Suppose i(k) = 0. Calculate k.
-2, -1, 0
Let n(v) be the second derivative of v**6/40 + 9*v**5/80 + v**4/16 - 3*v**3/8 - 3*v**2/4 + 22*v. Factor n(u).
3*(u - 1)*(u + 1)**2*(u + 2)/4
Suppose -k + 25 = 5*c, -4*k + c + 9 + 7 = 0. Suppose 0 = -4*d + 5*d - 3*p - 9, 5*d + k*p = 105. Factor 8*a**3 - d*a**3 - a**5 + 11*a**3.
-a**3*(a - 1)*(a + 1)
Let i = 9 + -7. Suppose i = 2*c - 4. Suppose -2/5*a**5 - 2/5*a**c + 0 - 4/5*a**4 + 0*a**2 + 0*a = 0. Calculate a.
-1, 0
Let l = -258 - -260. Factor -1/3*y + 0 + 1/3*y**3 + 0*y**l.
y*(y - 1)*(y + 1)/3
Factor 0 + 4/11*m - 2/11*m**4 + 8/11*m**3 - 10/11*m**2.
-2*m*(m - 2)*(m - 1)**2/11
Let s(z) be the second derivative of -4*z**7/21 + 8*z**6/15 - z**5/2 + z**4/6 + 59*z. Determine x so that s(x) = 0.
0, 1/2, 1
Let s be ((-2)/2)/(3/(-21)). Let w = 9 - s. Factor u**2 + u**2 - u - 3*u + w.
2*(u - 1)**2
Let i = 88 - 165/2. Let o = i + -5. Factor -o*h - 1/4 - 1/4*h**2.
-(h + 1)**2/4
Let c(z) be the second derivative of -z**6/315 - z**5/210 + z**4/42 + z**3/63 - 2*z**2/21 - 13*z. Determine b so that c(b) = 0.
-2, -1, 1
Find l, given that -3*l**3 + 2*l**5 - 2*l**5 + 7*l**4 - 2*l**5 - 3*l**2 - l**5 + 2*l = 0.
-2/3, 0, 1
Let u = -52 + 54. Let a(h) be the first derivative of -1 - 1/3*h**u + 2/9*h**3 - 1/18*h**4 + 2/9*h. Factor a(w).
-2*(w - 1)**3/9
Let x be 2/(24/3) - (-9)/18. Solve -27/4 - x*n**2 - 9/2*n = 0 for n.
-3
Find q such that 0 + 2*q - 1/2*q**3 + 3/2*q**2 = 0.
-1, 0, 4
Let v be 2*(-1)/(-4) + 30/(-100). Factor -w**3 + v*w**2 + 3/5*w**4 + 1/5*w + 0.
w*(w - 1)**2*(3*w + 1)/5
Let z(o) = 5*o**2 + 7. Let s(r) = 10*r**2 + 0 + 8 - 4*r**2. Let w(h) = 6*s(h) - 7*z(h). Let w(p) = 0. Calculate p.
-1, 1
Let -4*c**2 - 4*c + 4*c**3 + 4*c**4 + 5*c**3 - 8*c + 3*c**3 = 0. What is c?
-3, -1, 0, 1
Suppose 2*l = 3*n + l, 3*n - 4*l = 0. Let m(f) be the second derivative of 0 - 2*f + 0*f**2 + n*f**4 - 1/40*f**5 + 0*f**3. Determine c, given that m(c) = 0.
0
Let x(u) be the second derivative of u**7/42 - u**6/30 - u**5/20 + u**4/12 + 9*u. Factor x(z).
z**2*(z - 1)**2*(z + 1)
Suppose 1/2 + 0*h - 1/2*h**2 = 0. Calculate h.
-1, 1
Let b(t) be the first derivative of -1/6*t**2 + 0*t**3 + 0*t + 0*t**5 + 2 - 1/18*t**6 + 1/6*t**4. Let b(j) = 0. Calculate j.
-1, 0, 1
Let a = 36 + -50. Let y be 3*8/a + 2. Factor 0 - 6/7*u**2 - 4/7*u - y*u**3.
-2*u*(u + 1)*(u + 2)/7
Let d(o) be the first derivative of o**7/70 - 3*o**6/40 + 3*o**5/20 - o**4/8 + 2*o**2 + 3. Let t(i) be the second derivative of d(i). Factor t(m).
3*m*(m - 1)**3
Let r(f) = -7*f**2 - 21*f - 36. Let k(z) = -13*z**2 - 43*z - 72. Let w(s) = -3*k(s) + 5*r(s). Factor w(a).
4*(a + 3)**2
Factor 5*i + 9*i**2 + 10*i**3 - 2*i**2 + 3*i**2 + i**5 + 1 + 5*i**4.
(i + 1)**5
Factor 1/7*s**2 + 2/7 - 3/7*s.
(s - 2)*(s - 1)/7
Let q(p) = -p**2 + 4*p + 5. Let l be q(4). Solve -11*f**2 - 60*f**3 + 3*f**2 - 84*f**l + 16*f - 16*f - 136*f**4 = 0.
-1, -1/3, -2/7, 0
Suppose 2/3 - 3/2*u**4 - 14/3*u**3 + 47/6*u**2 + 5/3*u**5 - 4*u = 0. Calculate u.
-2, 2/5, 1/2, 1
Let y(c) be the first derivative of 7 + 3/7*c**2 - 4/7*c - 2/21*c**3. Factor y(f).
-2*(f - 2)*(f - 1)/7
Factor 39*y**2 - 55*y**3 + 5*y**5 - 27*y**2 + 123*y**2 + 45*y**4 + 190*y**3.
5*y**2*(y + 3)**3
Let q(y) be the first derivative of y**4/2 + 2*y**3/9 - y**2 - 2*y/3 + 4. Factor q(i).
2*(i - 1)*(i + 1)*(3*i + 1)/3
Find g such that 3/4*g**3 + 1/4*g + 0 - 1/4*g**4 - 3/4*g**2 = 0.
0, 1
Let f be 1 + 130 + (-4)/2. Suppose -6*q + 2*q + f = 5*i, -q + 54 = 2*i. Factor -i + 29 - m**2.
-m**2
Let x(r) be the third derivative of -r**9/60480 - r**8/5040 - r**7/1260 + r**5/60 - 7*r**2. Let u(n) be the third derivative of x(n). Solve u(t) = 0 for t.
-2, 0
Let j = 7/4 - 17/12. Let b(x) be the second derivative of -x - 2/3*x**2 + 0 - j*x**3 + 0*x**4 + 1/30*x**5. Factor b(r).
2*(r - 2)*(r + 1)**2/3
Let g(y) be the third derivative of 0 + 0*y**3 - 3*y**2 - 1/168*y**8 - 1/20*y**6 + 0*y - 1/30*y**5 + 0*y**4 - 1/35*y**7. Factor g(c).
-2*c**2*(c + 1)**3
Let d be (159 - -7)*3/(-6). Let z = -247/3 - d. Factor 0 + z*f**3 + 0*f**2 + 0*f.
2*f**3/3
Suppose b = -0*b + 4*p + 7, -3*b = 5*p + 47. Let l(x) = x + 13. Let f be l(b). Suppose 17*y + 12*y**3 - 43*y**2 - 2 + 3*y**2 + f*y**3 = 0. Calculate y.