 o + 3*o - 6 = p. Let 30*j**k - 16*j + 2 - 9*j**2 + 11*j**2 = 0. What is j?
1/4
Let q(v) = v**2 - 4*v. Let b(s) = s**2 - 3*s + 6. Let c(d) = 1. Let m(p) = b(p) - 6*c(p). Let l(f) = -3*m(f) + 2*q(f). Let l(o) = 0. Calculate o.
0, 1
Let k(l) be the third derivative of -l**7/70 - l**6/10 + 3*l**5/10 + l**4/2 - 5*l**3/2 + 39*l**2. Suppose k(b) = 0. Calculate b.
-5, -1, 1
Factor -3*f**2 + 0 - 7/3*f**3 - 2/3*f.
-f*(f + 1)*(7*f + 2)/3
Solve -5*m**5 + 50 + 44*m + 40*m**3 - 3*m**4 + 50*m**2 - 159*m + 24*m**4 - 41*m**4 = 0 for m.
-5, -2, 1
Let -2*l + 2*l**3 + 4*l**3 - 3*l**2 - l**3 = 0. What is l?
-2/5, 0, 1
Let d(p) be the first derivative of p**4/4 - 2*p**3/3 - p**2/2 + 2*p + 3. Factor d(w).
(w - 2)*(w - 1)*(w + 1)
Let v(p) be the third derivative of -p**7/1470 + p**6/840 + 25*p**2. Factor v(x).
-x**3*(x - 1)/7
Let d(w) be the first derivative of 1/18*w**3 + 0*w**2 + 0*w + 7 - 1/24*w**4. Solve d(f) = 0 for f.
0, 1
Let l be ((-63)/(-12))/(-7)*-4. Factor 2*q**2 + 0*q**l + 2*q**3 + 0*q**2.
2*q**2*(q + 1)
Suppose q - 4*c + 8 = 0, -3*q + 3*c = -0 + 6. Factor -2/9*u**2 + 2/9*u + q + 2/9*u**4 - 2/9*u**3.
2*u*(u - 1)**2*(u + 1)/9
Let n(o) be the first derivative of 2 - 1/3*o**3 - 1/6*o**4 + 0*o**2 - o. Let k(g) be the first derivative of n(g). Factor k(m).
-2*m*(m + 1)
Let k be (-77)/(-105) + (-3 - (-39)/15). Factor -9*o - k*o**3 - 3*o**2 - 9.
-(o + 3)**3/3
Let t = -261 - -1309/5. Factor -1/5*n**2 - 4/5 - t*n.
-(n + 2)**2/5
Let p(t) be the first derivative of t**6/180 - t**5/90 - t**2/2 + 3. Let z(b) be the second derivative of p(b). Factor z(s).
2*s**2*(s - 1)/3
Let z(x) be the third derivative of x**8/84 - 4*x**7/105 + x**6/30 - 19*x**2. Determine w so that z(w) = 0.
0, 1
Let c = 6 + -2. Suppose c*y = y. Factor 4/5*m**2 + y - 2/5*m**3 - 2/5*m.
-2*m*(m - 1)**2/5
Let c(w) = -w**3 + 2*w**2 + w. Let s be c(-1). Determine t so that 3*t**3 + 2*t + t**2 - 4*t**3 - s*t**2 = 0.
-2, 0, 1
Find s, given that -3*s - 3/4*s**3 + 0 + 3*s**2 = 0.
0, 2
Let g be 16/12 + (-14)/(-21). Let h(t) = -t**3 + 5*t**2 + 7*t - 6. Let l be h(6). Factor l*q**3 + 0*q - 1/4 - 1/4*q**4 + 1/2*q**g.
-(q - 1)**2*(q + 1)**2/4
Let u(s) be the third derivative of -s**8/168 - s**7/105 + s**6/30 + s**5/15 - s**4/12 - s**3/3 + 3*s**2. Factor u(p).
-2*(p - 1)**2*(p + 1)**3
Let n be 3/4*-2 + 3. Let t(y) be the first derivative of -n*y**2 - 1 - y - 1/4*y**4 - y**3. Factor t(z).
-(z + 1)**3
Let n(q) = 7*q**4 + q**3 + 19*q**2 + 12*q + 13. Let y(m) = 3*m**4 + 9*m**2 + 6*m + 6. Let f(j) = -6*n(j) + 13*y(j). Solve f(b) = 0 for b.
-2, -1, 0, 1
Let c be ((-14)/364)/((-3)/2). Let p = c - -35/156. Factor -1/4*a**4 + 1/4*a**2 - p*a + 0 + 1/4*a**3.
-a*(a - 1)**2*(a + 1)/4
Let k be 3/(-15)*(-80)/18. Determine z so that 2/9*z + 2/3*z**3 + 0 + k*z**2 = 0.
-1, -1/3, 0
Let t(a) be the second derivative of a**5/70 + a**4/21 + a. Factor t(d).
2*d**2*(d + 2)/7
Suppose 5*d + 2 = 17. Let x(y) be the third derivative of 1/120*y**6 + 0 - 1/24*y**4 + 0*y - d*y**2 + 0*y**3 + 1/24*y**5 - 1/84*y**7. Factor x(p).
-p*(p - 1)*(p + 1)*(5*p - 2)/2
Suppose -1 = a - 7. Let p be (-3)/a*-2*3. Factor 0*m**5 - 5*m**3 + 4*m**4 + p*m**3 - 2*m**5.
-2*m**3*(m - 1)**2
Let w be (0 - 1)*(-3 + 1). Suppose -4*o = w - 10. Determine p so that -1/2*p**5 - 1/2*p - 1/2 + p**o + p**3 - 1/2*p**4 = 0.
-1, 1
Factor -3/2*l**4 - 3/2 - 6*l - 6*l**3 - 9*l**2.
-3*(l + 1)**4/2
Let y(v) = 4*v**3 + 6*v**2 + 2*v - 6. Let a(k) = -13*k**3 - 18*k**2 - 7*k + 17. Let z(p) = 2*a(p) + 7*y(p). Factor z(f).
2*(f - 1)*(f + 2)**2
Suppose -3*o = -0*o + 6. Let g = o + 4. What is u in -2*u**3 + 0*u**2 - u**2 + 3*u**2 + g*u - 2 = 0?
-1, 1
Let q(g) = -4*g**2 - g + 9. Let s(n) = -n**2 + 1. Let b(x) = q(x) - 3*s(x). Factor b(p).
-(p - 2)*(p + 3)
Let h be 6*(10/6)/5. Let -2 + 0*c - 5 + 2*c**h + 2*c + 3 = 0. Calculate c.
-2, 1
Let u = 8 - 6. Determine m so that -6 + 19*m**4 + 14*m**4 + 27*m - 7*m**4 - 5*m**4 - 27*m**3 - 15*m**u = 0.
-1, 2/7, 1
Let o(s) be the third derivative of -3*s**5/28 - 13*s**4/56 + s**3/7 - 17*s**2. Suppose o(c) = 0. Calculate c.
-1, 2/15
Let k = 48 + -191/4. Let n(j) = 9*j - 70. Let r be n(8). Let -1/2 - k*y**r - 3/4*y = 0. What is y?
-2, -1
Factor -3/7*m**3 + 54/7*m**2 + 48/7 - 99/7*m.
-3*(m - 16)*(m - 1)**2/7
Suppose 20 = -0*s - 5*s. Let y(k) = -k**2 - 4*k + 2. Let g be y(s). Factor v**g + 5*v - v + 0 + 4.
(v + 2)**2
Let w be 0 + (4/(-48))/(-1). Let f(x) be the second derivative of 0 + 1/4*x**2 - w*x**3 - x - 1/24*x**4 + 1/40*x**5. Factor f(c).
(c - 1)**2*(c + 1)/2
Let a(y) be the second derivative of y**6/1980 - y**5/330 + y**4/132 - y**3/6 - 4*y. Let h(o) be the second derivative of a(o). Factor h(s).
2*(s - 1)**2/11
Let q(v) be the second derivative of -v**4/18 - 8*v**3/9 + 3*v**2 + 2*v + 16. Factor q(p).
-2*(p - 1)*(p + 9)/3
Factor 3/5*b**2 - 6/5 + 3/5*b**4 + 9/5*b**3 - 9/5*b.
3*(b - 1)*(b + 1)**2*(b + 2)/5
What is t in -18*t**2 + 11 + 19 - 3*t - 3*t**3 - 6*t = 0?
-5, -2, 1
Let z(c) be the first derivative of -c**4/16 - c**3 - 6*c**2 - 6*c - 5. Let t(y) be the first derivative of z(y). Solve t(q) = 0 for q.
-4
Let i(c) be the second derivative of -1/60*c**5 - 1/12*c**4 + 0 - c - 1/6*c**3 - 1/6*c**2. Solve i(f) = 0.
-1
Let f(x) = 3*x**3 + 14*x**2 + 15*x + 8. Let b(o) = 39*o**3 + 183*o**2 + 195*o + 105. Let w(y) = -2*b(y) + 27*f(y). Determine m so that w(m) = 0.
-2, -1
Let d be (152/36 - 4) + 5/18. Factor 1/2*o**3 - 1/2*o + 0 + d*o**4 - 1/2*o**2.
o*(o - 1)*(o + 1)**2/2
Let l = -747/5 - -789/5. Find y such that -32/5*y - l*y**4 + 8/5 + 68/5*y**3 - 2/5*y**2 = 0.
-2/3, 2/7, 1
Let d(b) = b**5 - b**4 + b**3 - 1. Let m(q) = 12*q**5 - 32*q**4 - 8*q**3 - 16*q**2 - 4*q - 16. Let v(k) = -16*d(k) + m(k). Factor v(s).
-4*s*(s + 1)**4
Let c(u) be the second derivative of -u**7/21 - u**6/15 + u**5/2 + u**4/6 - 8*u**3/3 + 4*u**2 + 17*u. What is f in c(f) = 0?
-2, 1
Let v(p) = 6*p**3 + 3*p**2 - 6*p + 7. Let i(h) = 5*h**3 + 2*h**2 - 5*h + 6. Let f(x) = x + 7. Let t be f(-11). Let j(w) = t*v(w) + 5*i(w). Solve j(r) = 0.
-1, 1, 2
Let y be (-2)/(-3)*6/1. Let r be y/(3/(-3) + 3). Factor 6*q - 45*q**3 - 1 + 1 + 6 + 3*q - 42*q**r.
-3*(q + 1)*(3*q + 1)*(5*q - 2)
Let y(w) be the second derivative of w**4/12 + 2*w**3 + 11*w**2/2 + w + 6. Solve y(r) = 0 for r.
-11, -1
Suppose -2*n = -4*n + 8. Solve -s - s + 0*s**3 - 2*s**3 - n*s**2 = 0 for s.
-1, 0
Let k(r) = -6*r**3 + 5*r**2 - 6*r + 17. Let m(w) = -2*w**3 + 2*w**2 - 2*w + 6. Let i(c) = -6*k(c) + 17*m(c). Factor i(a).
2*a*(a + 1)**2
Let g(a) be the second derivative of -a**9/20160 - a**8/13440 + a**7/10080 - a**4/4 - a. Let n(w) be the third derivative of g(w). Factor n(r).
-r**2*(r + 1)*(3*r - 1)/4
Let f be 2/3*(-18)/(-4). Suppose 2*l = -4*x, x = -f*l - 0*l - 5. Let y(m) = -m**2 + m. Let h(r) = 2*r**2 - r. Let a(u) = l*h(u) - 3*y(u). Solve a(z) = 0 for z.
-1, 0
Factor 0 + 2*u**3 + 2/3*u + 2/3*u**4 + 2*u**2.
2*u*(u + 1)**3/3
Let w = 184/9 - 20. Factor w - 2/9*i - 2/9*i**2.
-2*(i - 1)*(i + 2)/9
Let y = 0 - -2. Factor -d**y - 2/3*d - 1/3*d**3 + 0.
-d*(d + 1)*(d + 2)/3
Let g(t) = t**2 - 3*t - 6. Let o be g(-2). Let d(j) be the second derivative of -1/30*j**o - 1/5*j**2 - 2/15*j**3 + 3*j + 0. Find x, given that d(x) = 0.
-1
Suppose 0 - 4*b**2 - 1 - 3 + 14*b - 6*b**3 + 0 = 0. What is b?
-2, 1/3, 1
Let r(b) be the third derivative of 0 + 1/30*b**6 + 0*b**3 + 4*b**2 - 1/168*b**8 - 1/12*b**4 + 0*b**5 + 0*b + 0*b**7. Suppose r(v) = 0. What is v?
-1, 0, 1
Let x = 121/3 - 40. Solve -2/3*s**2 + s**5 + 0 + 2/3*s**4 + x*s - 4/3*s**3 = 0.
-1, 0, 1/3, 1
Determine u, given that 124/5*u - 961/5*u**2 - 4/5 = 0.
2/31
Let r(p) be the second derivative of -p**6/270 + p**5/90 - p**3/27 + p**2/18 + 20*p. What is g in r(g) = 0?
-1, 1
Let -15/2*p**2 + 0 + 5*p = 0. Calculate p.
0, 2/3
Suppose -4*f = 44 - 12. Let d = 10 + f. Factor -4/11*l**d + 0 + 2/11*l**3 + 2/11*l.
2*l*(l - 1)**2/11
Let a(y) be the third derivative of -y**8/336 - y**7/210 + y**6/60 + y**5/30 - y**4/24 - y**3/6 - 9*y**2. Let a(r) = 0. What is r?
-1, 1
Let k be (-6)/8*(-160)/150. Let u(w) be the first derivative of w**2 + k*w + 2/5*w**3 - 4. Factor u(g).
2*(g + 1)*(3*g + 2)/5
Suppose -3*q - 1 = -g - 7, 8 = 4*q + g. Determine o so that 4*o**2 - 7*o**2 - o + o**q - o**3 = 0.
-1, 0
Factor 33*f**5 - 2*f**4 + 33*f**5 + 2*f**2 + 0*f**2 + 2*f**3 - 68*f**5.
-2*f**2*(f - 1)*(f + 1)**2
Factor -1/5*i*