or z.
-2, 1
Solve 22/3*v - 2/3 + 60*v**3 + 18*v**5 - 54*v**4 - 92/3*v**2 = 0 for v.
1/3, 1
Let n(z) be the third derivative of 0*z**3 - 1/50*z**5 + 0*z + z**2 - 1/300*z**6 + 1/175*z**7 - 1/840*z**8 + 1/30*z**4 + 0. Suppose n(l) = 0. Calculate l.
-1, 0, 1, 2
Suppose -5*n = -2*a - 3 - 6, -2*a - n = -9. Suppose 4*d = 16, -5*f + a*d - 2 = -0. Find t such that -2*t - t**4 + f*t = 0.
0
Suppose -13 = -4*q - 4*p + 7, p - 5 = 0. Factor 0 + q*t - 1/4*t**3 + 1/4*t**2.
-t**2*(t - 1)/4
Let n(s) be the first derivative of 1/6*s**6 - 1/4*s**4 + 1/5*s**5 - 1/3*s**3 + 0*s + 2 + 0*s**2. Solve n(i) = 0 for i.
-1, 0, 1
Let w(j) be the first derivative of 3*j**7/980 + 11*j**6/1260 + j**5/210 - j**3/3 + 6. Let y(t) be the third derivative of w(t). Factor y(h).
2*h*(h + 1)*(9*h + 2)/7
Let l be 132/48 - 2/(-8). Let j(q) be the second derivative of 0 - 3*q - 1/24*q**4 + 1/80*q**5 + 0*q**2 + 1/24*q**l. Solve j(t) = 0.
0, 1
Let c be (1 - 3) + (-466)/10. Let x = -48 - c. Factor -6/5*b**2 - 3/5*b + 6/5*b**3 - 3/5*b**5 + 3/5*b**4 + x.
-3*(b - 1)**3*(b + 1)**2/5
Let n be 58/(-15) + (0 - -4). Let r(v) be the first derivative of -1 + 0*v**4 + 0*v - n*v**5 + 0*v**3 + 0*v**2. Factor r(q).
-2*q**4/3
Let k be (1/(-6))/(16/(-24)). Let u(a) be the first derivative of -1/16*a**4 - 2 + 1/4*a**3 - 3/8*a**2 + k*a. Suppose u(b) = 0. Calculate b.
1
Suppose 28 = 3*b + b. Let l = b + -17/3. Suppose 4/3*i**3 + 2/3*i**4 - l*i**2 - 2/3*i**5 - 2/3*i + 2/3 = 0. Calculate i.
-1, 1
Suppose -u - 25 = -5*v, 2*v = -3*u + 6*v - 20. Let 1/2*c**5 + 1/2*c**3 + u*c + 0*c**2 + c**4 + 0 = 0. What is c?
-1, 0
Let i(b) be the third derivative of 1/1344*b**8 + 0*b**6 + 0*b**3 + 1/120*b**5 + 0*b - 5*b**2 + 0 - 1/96*b**4 - 1/420*b**7. Factor i(k).
k*(k - 1)**3*(k + 1)/4
Let z(d) = -7*d - 5. Let c(b) = 20*b + 14. Let p(o) = -6*c(o) - 17*z(o). Let r be p(-2). Factor w**r + 0*w**2 - 1/2*w**4 + 1/2 - w.
-(w - 1)**3*(w + 1)/2
Suppose -2*u + 6 = -0*u. Suppose -s + 8*s**2 - u*s - 20*s**2 - 8*s**3 = 0. Calculate s.
-1, -1/2, 0
Let x be (2 - 2036/(-12))/(-1). Let t = x + 175. Suppose -2*d + 4*d**2 + 1/3 + d**4 - t*d**3 = 0. Calculate d.
1/3, 1
Let q(a) be the second derivative of a**6/20 - a**4/4 + 3*a**2/4 - 21*a. Factor q(v).
3*(v - 1)**2*(v + 1)**2/2
Let r = -871/5 + 175. Let d = 1 - r. Factor d*g**3 + 0*g**2 - 2/5*g**4 + 1/5*g**5 + 0*g + 0.
g**3*(g - 1)**2/5
Let m be (24/(-126))/((-6)/28). Let -8/9*b - 2/9*b**3 + 0 - m*b**2 = 0. Calculate b.
-2, 0
Let i(b) be the third derivative of -b**8/840 - b**7/525 - 6*b**2. Determine t, given that i(t) = 0.
-1, 0
Factor 36*g**2 - 3*g**5 - 15*g**3 - 75*g**3 + 102*g**2 - 99*g + 27 + 16*g**4 + 11*g**4.
-3*(g - 3)**2*(g - 1)**3
Let h(x) be the first derivative of -2*x**3 + 3*x**2/2 + 3*x + 5. Factor h(j).
-3*(j - 1)*(2*j + 1)
Let h be ((-18)/2)/3 + 5. Determine g so that 18/7*g**3 + 2*g - 30/7*g**h - 2/7 = 0.
1/3, 1
Let r be (36/(-24))/(-9 - 0). Let 1/6*v**2 - r + 0*v = 0. Calculate v.
-1, 1
Let k be -6 + 11 + (-130)/27. Let r(b) be the second derivative of -1/9*b**5 - 4*b - 5/27*b**4 - 1/27*b**6 - 1/189*b**7 - 1/9*b**2 + 0 - k*b**3. Factor r(g).
-2*(g + 1)**5/9
Suppose -3*h = 3 - 15. Factor -6*f**2 + 7*f**4 - 3*f - f**4 - h*f**5 + 7*f**5.
3*f*(f - 1)*(f + 1)**3
Suppose 0*u + 2*u - 2 = 3*i, u - 1 = i. Suppose 10*q - 6*q = i. Factor 2/3*h**2 + q + 4/3*h.
2*h*(h + 2)/3
Let f(b) be the third derivative of b**8/50400 + b**7/12600 - b**6/900 - b**5/30 + b**2. Let q(v) be the third derivative of f(v). Factor q(z).
2*(z - 1)*(z + 2)/5
Let f be (-1)/5 - (-44)/20. Factor 2/5*q**f + 2/5 + 4/5*q.
2*(q + 1)**2/5
Suppose 6*w - 1 = 11. Factor -1/4*h**w - h - 3/4.
-(h + 1)*(h + 3)/4
Let o(t) = 1. Let d(r) = -r**3 - 6*r**2 - 5*r - 7. Let l(h) = -2*d(h) - 14*o(h). Find i such that l(i) = 0.
-5, -1, 0
Let g(l) = 4*l**3 - 48*l**2 + 76*l - 32. Let q(k) = 4*k**3 - 49*k**2 + 76*k - 31. Let x(p) = 5*g(p) - 4*q(p). Factor x(n).
4*(n - 9)*(n - 1)**2
Factor 27/8*m + 3/8*m**2 + 21/4.
3*(m + 2)*(m + 7)/8
Let t(z) be the third derivative of z**8/1008 + z**7/630 - z**6/360 - z**5/180 + 23*z**2. Factor t(y).
y**2*(y - 1)*(y + 1)**2/3
Let y(h) be the third derivative of -h**5/30 + h**4/3 - 11*h**3/6 - 2*h**2. Let m(i) = 2*i**2 - 8*i + 10. Let o(t) = -3*m(t) - 2*y(t). Let o(k) = 0. What is k?
2
Let j(y) be the first derivative of 2*y**3/21 + 4*y**2/7 + 31. Factor j(v).
2*v*(v + 4)/7
Let i(t) = -t**2 + 2. Let p(z) = z**2 - 3. Let n(u) = -3*i(u) - 2*p(u). Factor n(r).
r**2
Let j(z) be the third derivative of -1/150*z**6 + 0*z**4 + 0*z - 3*z**2 + 1/105*z**7 + 0*z**5 + 0 + 0*z**3. Factor j(g).
2*g**3*(5*g - 2)/5
Let o = -2 - -5. Let l be 121/22 + (-3)/2. Factor 2 - 1 - 2*n**2 + o*n**4 - 2*n**l.
(n - 1)**2*(n + 1)**2
Let z be (-1)/5 - 19/(-45). Factor -2/9*r**3 + 2/9*r**2 + z*r - 2/9.
-2*(r - 1)**2*(r + 1)/9
Let r(x) = 6*x**4 + 18*x**3 - 7*x**2 - 67*x - 43. Let i(f) = 3*f**4 + 9*f**3 - 3*f**2 - 33*f - 21. Let v(y) = 5*i(y) - 3*r(y). Factor v(s).
-3*(s - 2)*(s + 1)*(s + 2)**2
Let w be (1 - -1) + 0 + 24 + -26. Let g(j) be the first derivative of 1/2*j**4 - 1/3*j**6 - 3 - 2/3*j**3 + 2/5*j**5 + 0*j + w*j**2. What is p in g(p) = 0?
-1, 0, 1
Let r(t) be the second derivative of 0*t**3 + 0*t**4 - 7/150*t**6 + 0 - 1/100*t**5 + 0*t**2 - 2/35*t**7 - 3*t. Factor r(p).
-p**3*(3*p + 1)*(4*p + 1)/5
Let c(p) be the third derivative of -p**6/780 + p**5/390 + p**4/156 - p**3/39 + 15*p**2. Factor c(a).
-2*(a - 1)**2*(a + 1)/13
Suppose -m = -4 - 2. Suppose 9 = -3*s, 3*d + 2*s + m = d. Suppose d - 16/9*j**4 + 4/9*j**2 - 10/9*j**5 + 0*j - 2/9*j**3 = 0. What is j?
-1, 0, 2/5
Let n(y) be the first derivative of -y**7/280 - 11*y**6/720 - y**5/60 + y**4/48 + 3*y**3 + 5. Let w(l) be the third derivative of n(l). Factor w(f).
-(f + 1)**2*(6*f - 1)/2
Solve 8/3 + 0*u - 2/3*u**3 - 2*u**2 = 0.
-2, 1
Factor 22/13*d**2 - 48/13*d - 72/13 - 2/13*d**3.
-2*(d - 6)**2*(d + 1)/13
Let d(w) = 3*w**3 + 1. Let t be d(2). Suppose -t = f - 6*f. Solve 51*q**3 - 25*q**2 + 170*q**4 - 150*q**f + 16*q - 47*q**2 - 15*q**3 = 0.
-2/3, 0, 2/5, 1
Let d = -287 + 287. Factor -1/3*k**2 + 0*k + d.
-k**2/3
Let y = 25 + -22. Factor 34*v**y + 4*v**4 - 34*v**3 - 4*v**2.
4*v**2*(v - 1)*(v + 1)
Find c, given that 2/9*c**2 + 2/3*c - 8/9 = 0.
-4, 1
Let m = -2 + 2. Let d = -20 - -20. Solve 0*a + m + d*a**2 - 2/3*a**3 = 0.
0
Let l(g) be the second derivative of 1/2*g**3 + 0 - g**2 + 5/12*g**4 - 6*g. Solve l(b) = 0.
-1, 2/5
Let g(u) = u**2 + 2*u - 7. Let o be g(-5). Suppose -3*j + 1 = -o. Factor 4*z + 7*z**2 - 3*z**2 + 5*z**j + 9*z**2 - 2 - 2.
(z + 1)*(z + 2)*(5*z - 2)
Let t(m) be the first derivative of 7 + m**4 - 4*m**2 + 0*m - 4/3*m**3. Factor t(d).
4*d*(d - 2)*(d + 1)
Let p(n) be the first derivative of 1/3*n**3 - 1 - n + 0*n**2 + 1/12*n**4. Let u(l) be the first derivative of p(l). Find z such that u(z) = 0.
-2, 0
Suppose -24 + 4 = 5*j. Let d(p) = 1. Let v(g) = -2*g**2 + 4*g + 2. Let l(s) = j*d(s) + v(s). Let l(k) = 0. What is k?
1
Let o be (-10)/(-30) - (-3 + (-192)/(-63)). Factor 4/7 + o*c - 6/7*c**2 - 2/7*c**3 + 2/7*c**4.
2*(c - 2)*(c - 1)*(c + 1)**2/7
Factor 14/3*u - 1/6*u**2 - 98/3.
-(u - 14)**2/6
Suppose 9*s - 10*s = -2. Let f be 48/22 + (s - 4). Factor 0*q**2 + 0 + f*q**5 + 2/11*q**4 + 0*q**3 + 0*q.
2*q**4*(q + 1)/11
Let g be -1 + (-81)/(-42) + 3/(-7). Factor 1/2 + z + g*z**2.
(z + 1)**2/2
Let p be 6*((-3)/(-5))/(162/135). Solve -14/11*k**2 - 2/11*k - 30/11*k**p + 0 - 26/11*k**4 - 8/11*k**5 = 0.
-1, -1/4, 0
Let h(c) be the third derivative of 0 - 1/168*c**8 - 1/30*c**5 - 2/3*c**4 + 0*c + 1/105*c**7 + 1/12*c**6 - 4/3*c**3 + 5*c**2. Find v, given that h(v) = 0.
-1, 2
Factor -7*j**2 + 3*j + 2*j - 2*j**2 + 4*j**2.
-5*j*(j - 1)
Let j be 2 + 0 + (3 - 2). Suppose 5 - 8 + j + s + s**2 = 0. What is s?
-1, 0
Let j(y) = y**2 + 8*y + 2. Let o(c) = -c**2 + 1 - 5 - 7*c + 1 + 1. Let q(p) = -4*j(p) - 5*o(p). Let q(a) = 0. Calculate a.
-2, -1
Let u be (-3*(-75)/(-45))/((-10)/36). Let -9/2*n**3 + u*n - 6 + 3/2*n**2 = 0. Calculate n.
-2, 1/3, 2
Let m(i) = 1225*i**2 - 140*i + 6. Let w(z) = 1. Let y(o) = -m(o) + 2*w(o). What is v in y(v) = 0?
2/35
Let f(a) be the second derivative of a**7/294 + a**6/210 - a**5/140 - a**4/84 + 29*a. Solve f(c) = 0 for c.
-1, 0, 1
Let i(y) be the first derivative of 14*y**5/55 - y**4/11 - 14*y**3/11 - 8*y**2/11 + 8*y/11 + 13. Determine l, given that i(l) = 0.