*o + 1/6 + 1/2*o**2.
(o + 1)**3/6
Let w = -71/21 + 26/7. Let s(z) be the first derivative of 0*z + 2 + w*z**3 + 0*z**2 - 1/2*z**5 - 3/8*z**4. Factor s(n).
-n**2*(n + 1)*(5*n - 2)/2
Let x be 7 + (-3 + 4)*-2. Let j(z) be the second derivative of 0 - 3/70*z**x + 0*z**2 - z + 1/42*z**4 - 1/147*z**7 + 0*z**3 + 1/35*z**6. Solve j(b) = 0 for b.
0, 1
Determine j, given that 0*j + 4/7*j**3 - 4/7*j**4 + 0 + 0*j**2 = 0.
0, 1
Factor 0*a - 12*a**2 - 3*a - 6*a**4 + 0*a**3 - 15*a**3.
-3*a*(a + 1)**2*(2*a + 1)
Let r = 241/2 + -119. Factor 9/2*l**2 + r*l**3 + 0 + 3*l.
3*l*(l + 1)*(l + 2)/2
Let q(b) be the third derivative of b**6/960 + b**5/160 + b**4/64 + b**3/48 - 5*b**2. Factor q(o).
(o + 1)**3/8
Let d(v) be the third derivative of v**7/168 + v**6/16 + 13*v**5/48 + 5*v**4/8 + 5*v**3/6 - 8*v**2. Factor d(a).
5*(a + 1)**2*(a + 2)**2/4
Let i(a) be the third derivative of 7*a**5/20 + 9*a**4/8 + a**3 - 5*a**2. Factor i(b).
3*(b + 1)*(7*b + 2)
Suppose -3*h = 15, -3*z - 2*h + 3*h + 11 = 0. Let -2/3*x - 2/3*x**5 - 4*x**3 + 8/3*x**4 + 0 + 8/3*x**z = 0. What is x?
0, 1
Let t(c) = -7*c**3 + 29*c**2 + 7*c - 35. Let r(i) = 36*i**3 - 144*i**2 - 36*i + 176. Let f(a) = 3*r(a) + 16*t(a). Let f(w) = 0. What is w?
-1, 1, 8
Let m(v) = -v**3 + v**2 - v + 1. Let i(w) = -3*w**3 - w**2 + 5*w - 1. Let p(r) = i(r) + m(r). Determine t so that p(t) = 0.
-1, 0, 1
Suppose 9*l - 11*l = 0. Let o(m) be the second derivative of 0*m**6 - 3/80*m**5 + 0*m**2 + l + 1/42*m**7 + 0*m**3 - 1/48*m**4 - m. Find y, given that o(y) = 0.
-1/2, 0, 1
Let w(d) = 30*d**4 + 55*d**3 - 25. Let a(g) = -5*g**4 - 9*g**3 + 4. Let p(h) = -25*a(h) - 4*w(h). Solve p(v) = 0 for v.
-1, 0
Find q, given that 4 + 1/4*q**2 + 2*q = 0.
-4
Let h = -4 + 6. Factor h*g**3 - 2*g + 4 - 2*g**2 - 3 + 1.
2*(g - 1)**2*(g + 1)
Let q(z) = -38*z + 268. Let b be q(7). Factor 4/11*a + 0 + 2/11*a**3 - 6/11*a**b.
2*a*(a - 2)*(a - 1)/11
Suppose 3*j - 6*j = -45. Let s be (-2)/(4/((-24)/j)). Suppose -2/5*b**2 - 2/5 - s*b = 0. Calculate b.
-1
Let s be 13 + (-1)/(2 - 3). Determine j, given that -13*j**2 + 13*j**3 + 6*j - 15*j**4 + 23*j**3 - s*j**2 = 0.
0, 2/5, 1
Let w(m) be the second derivative of -m**6/6 + 5*m**4/4 + 5*m**3/3 + 2*m - 2. What is c in w(c) = 0?
-1, 0, 2
Let t(k) = -k**3 + k**2 + 7. Let n be t(0). Suppose -3*c + n*c = 60. Factor 15 + 2*a + 9*a**4 + a - 3*a**3 - 9 - c*a**2.
3*(a - 1)**2*(a + 1)*(3*a + 2)
Suppose 0 = -3*v + 7*v + 24. Let p(y) = -8*y**3 - 4*y**2 + 8*y + 4. Let g(l) = 9*l**3 + 5*l**2 - 9*l - 5. Let j(b) = v*p(b) - 5*g(b). Factor j(n).
(n - 1)*(n + 1)*(3*n - 1)
Factor 3*l - 2*l**4 - 2*l**4 + 46*l**2 + 8*l**3 - 18*l**2 + 13*l.
-4*l*(l - 4)*(l + 1)**2
Let k(q) be the first derivative of 2*q**5/5 - q**4/2 - 2*q**3/3 + q**2 + 18. Let k(n) = 0. Calculate n.
-1, 0, 1
Let b(o) be the third derivative of -o**5/60 - o**4/12 - o**3/6 - 3*o**2. Suppose b(x) = 0. Calculate x.
-1
Suppose -165*k + 161*k + 8 = 0. Factor -2/3*f**3 + 0 - 4/3*f + 2*f**k.
-2*f*(f - 2)*(f - 1)/3
Let i(g) be the second derivative of -7*g**4/12 - 2*g**3 + 2*g**2 - 3*g. Let i(o) = 0. What is o?
-2, 2/7
Let j be (2/3)/(8/168). Let u be (-7)/(-2)*2/j. Factor 0 - 1/4*a**2 + u*a.
-a*(a - 2)/4
Let l(u) be the second derivative of -u**5/10 + u**4/2 - u**3 + u**2 - 4*u. Find i such that l(i) = 0.
1
Determine v so that 3*v - 8*v**4 + 8*v**2 + 2*v**4 - 4*v**3 - 2*v**4 + v = 0.
-1, -1/2, 0, 1
Let k(y) be the first derivative of -y**9/1512 - y**8/420 + 4*y**3/3 + 3. Let o(l) be the third derivative of k(l). Solve o(u) = 0 for u.
-2, 0
Let t be 1/(-3 + 14/4). Factor -8 + t*z - z**2 + 6 + z.
-(z - 2)*(z - 1)
Find m such that -8/11 - 8/11*m + 6/11*m**2 = 0.
-2/3, 2
Let k(d) be the first derivative of -d**7/420 - d**6/60 - d**5/20 - d**4/12 - 2*d**3/3 - 3. Let j(l) be the third derivative of k(l). Factor j(r).
-2*(r + 1)**3
Let n(m) be the first derivative of -m**3 + 3*m**2/14 - 12. Find d, given that n(d) = 0.
0, 1/7
Let w be (2 - 1) + 34/15. Let a(u) be the first derivative of -5*u**3 + 1 + w*u**5 + 14/3*u**2 - 7/3*u**4 - 4/3*u. Solve a(d) = 0.
-1, 2/7, 1
Let u(v) be the third derivative of 0*v + v**2 + 0 - 1/3*v**3 - 1/3*v**4 - 1/10*v**5. What is c in u(c) = 0?
-1, -1/3
Let q(t) be the second derivative of -8*t**2 + 4/3*t**3 - 4*t - 1/12*t**4 + 0. Determine k so that q(k) = 0.
4
Factor 3*i**4 - 12*i**3 + 15*i**2 + 8*i - 15*i + i.
3*i*(i - 2)*(i - 1)**2
Let y(k) be the second derivative of k**6/165 - 3*k**5/110 + k**4/22 - k**3/33 + 28*k. Factor y(q).
2*q*(q - 1)**3/11
Let j(k) be the first derivative of 1 - 1/4*k**2 + 1/8*k**4 - 1/6*k**3 + 1/2*k. Let j(u) = 0. What is u?
-1, 1
Let y be (11/(-136))/((-1)/2). Let x = y - -10/17. Factor -9/4*p**4 + 0 + p - x*p**3 + 2*p**2.
-p*(p - 1)*(3*p + 2)**2/4
Suppose -4*i + 2*q + 29 = -17, 3*i - 17 = -2*q. Let h(p) = 7*p**2 - 2*p - 5. Let c(t) = 3*t**2 - t - 2. Let a(w) = i*c(w) - 4*h(w). Suppose a(l) = 0. What is l?
-2, 1
Factor l**2 + 2/3*l**3 + 2/3*l + 1/6 + 1/6*l**4.
(l + 1)**4/6
Let w(t) be the third derivative of t**9/1008 + t**8/280 - t**6/60 - t**5/40 + 2*t**3/3 - t**2. Let u(s) be the first derivative of w(s). Factor u(m).
3*m*(m - 1)*(m + 1)**3
Let v = 415/9 + -46. Let s(k) be the first derivative of 4/27*k**3 + 0*k - 1/18*k**4 - v*k**2 + 2. Factor s(w).
-2*w*(w - 1)**2/9
Let c(n) be the third derivative of n**7/1050 - 7*n**6/600 + 4*n**5/75 - n**4/10 - 14*n**2. Factor c(i).
i*(i - 3)*(i - 2)**2/5
Let m be ((-3)/2)/(3/(-6)). Let o(a) be the second derivative of a - 1/6*a**m + 0 + 0*a**2 - 1/8*a**4 - 1/40*a**5. Find d such that o(d) = 0.
-2, -1, 0
Let h be (-40)/(-22)*12/(-16). Let y = -83/77 - h. Factor 4/7*q - y*q**2 + 0.
-2*q*(q - 2)/7
Factor 0*i**2 - 2/11*i**5 + 4/11*i**3 + 0 - 2/11*i + 0*i**4.
-2*i*(i - 1)**2*(i + 1)**2/11
Let p(s) be the second derivative of s**4/6 + s**3/5 - 2*s**2/5 - 2*s. Solve p(n) = 0 for n.
-1, 2/5
Factor 1/2*g**2 - 2/3*g - 2/3.
(g - 2)*(3*g + 2)/6
Let k(x) be the third derivative of x**7/280 - x**6/60 + x**5/40 + x**3/3 - 2*x**2. Let t(l) be the first derivative of k(l). Factor t(v).
3*v*(v - 1)**2
Let k be 2 + (3 - 38/8). Factor 0 + k*i**2 - 1/4*i**3 + 0*i.
-i**2*(i - 1)/4
Let t(u) be the second derivative of u**6/80 - 3*u**5/160 - u**4/32 + u**3/16 + 15*u. Solve t(v) = 0.
-1, 0, 1
Let y(q) = 2*q + 3. Let r be y(6). Let x be r/9 + 2/6. Let -1 - m**4 + x*m**2 - 3*m**3 + 3*m**3 = 0. Calculate m.
-1, 1
Factor 2*s**4 - 3*s**3 - s**5 + 0*s**4 + 2*s**3.
-s**3*(s - 1)**2
Let c(a) be the third derivative of a**8/5040 + a**7/720 - a**6/360 - a**5/60 - 5*a**2. Let g(s) be the third derivative of c(s). Factor g(m).
(m + 2)*(4*m - 1)
Let o(b) be the third derivative of -2/35*b**7 + 1/168*b**8 + 0*b + 1/3*b**4 + 13/60*b**6 + 0*b**3 - 2*b**2 - 2/5*b**5 + 0. Solve o(u) = 0.
0, 1, 2
Let k(d) be the first derivative of 2*d**5/5 + d**4 - 14*d**3/3 + 4*d**2 + 10. Suppose k(p) = 0. Calculate p.
-4, 0, 1
Let m = -397 + 3973/10. Let g(t) be the second derivative of -2*t**2 + 1/6*t**4 - 2*t + 1/15*t**6 + m*t**5 - t**3 + 0. Factor g(v).
2*(v - 1)*(v + 1)**2*(v + 2)
Let w = -4/439 - 10089/878. Let k = w - -165/14. Solve -2/7 + k*n**2 + 0*n = 0 for n.
-1, 1
Let l(u) be the third derivative of -u**5/360 - 5*u**4/144 - u**3/9 + 23*u**2. Let l(h) = 0. What is h?
-4, -1
Let d(m) be the first derivative of m**7/70 + 3*m**6/40 - m**4/2 + 3*m**2 + 2. Let w(o) be the second derivative of d(o). Factor w(t).
3*t*(t - 1)*(t + 2)**2
Let l be -5*(-4)/110 + (-25)/(-165). Let l*h**4 - 4/3*h + 4/3 + 2/3*h**3 - h**2 = 0. What is h?
-2, 1
Suppose -4*g = -0*g - g. Let y(h) be the third derivative of 0*h + 1/150*h**5 - 1/15*h**3 - 1/40*h**4 + 1/200*h**6 - 3*h**2 + g. Solve y(a) = 0.
-1, -2/3, 1
Let y(v) be the first derivative of -3*v**4/20 + v**3/5 + 3*v**2/5 + 12. Factor y(a).
-3*a*(a - 2)*(a + 1)/5
Let j be (24/36)/(4/18). Suppose 4*d - 2*b + 6*b = 12, j*b = d - 3. Factor -6/7*v + 6/7*v**2 + 2/7 - 2/7*v**d.
-2*(v - 1)**3/7
Let g(z) be the third derivative of -z**6/300 + z**5/75 - z**4/60 + 8*z**2. Find l, given that g(l) = 0.
0, 1
Let b(t) be the second derivative of 0*t**2 - 1/60*t**5 - t + 1/36*t**4 + 0 + 0*t**3. What is u in b(u) = 0?
0, 1
Suppose 0 = -9*g + 12*g. Factor 0*t + 1/2*t**2 + g.
t**2/2
Factor 0 + 2/3*r**2 - 2/3*r.
2*r*(r - 1)/3
Let f = 1 - 4. Let h be -3*51/(-36) + f. Determine c so that 1/4*c - 2*c**2 + 1/2 + h*c**3