(f) be the first derivative of z(f). Factor u(b).
-3*b**2*(b - 1)**2*(2*b + 1)
Let m(h) be the third derivative of -h**5/150 + h**4/20 - h**2. Let m(z) = 0. Calculate z.
0, 3
Let b = -5 - -6. Let w = b + 4. Factor -2*l**2 + 4*l**2 + 2*l**4 - w*l**3 + 3*l**3 - 2*l**3.
2*l**2*(l - 1)**2
Let v(n) be the first derivative of 5 + 1/9*n**3 - 1/12*n**2 - 1/6*n. Factor v(l).
(l - 1)*(2*l + 1)/6
Let m be 3 - (-38)/(-12) - 1/(-2). Factor -m*t**3 - 1/3*t**2 + 1/3*t + 1/3.
-(t - 1)*(t + 1)**2/3
Solve 18/5*j + 8/5 - j**2 = 0.
-2/5, 4
Let 0 + 7/6*t**3 - 17/6*t**2 + t = 0. What is t?
0, 3/7, 2
Let o = 68/9 + -322/45. Factor 0 + 2/5*i**4 + o*i - 2/5*i**2 - 2/5*i**3.
2*i*(i - 1)**2*(i + 1)/5
Let r(l) = -l**2 + l - 1. Let f(k) = 15*k**2 - 15*k + 36. Let o(u) = f(u) + 18*r(u). Suppose o(b) = 0. What is b?
-2, 3
Find r such that 8/11*r**2 - 2/11*r**3 + 1/11*r - 4/11*r**4 + 1/11*r**5 - 4/11 = 0.
-1, 1, 4
Let c(k) = -k**5 + 5*k**4 + 4*k**3 - 2*k. Let n be (-122)/18 + (-6)/27. Let g(u) = 4*u**5 - 16*u**4 - 13*u**3 + 7*u. Let d(p) = n*c(p) - 2*g(p). Factor d(s).
-s**3*(s + 1)*(s + 2)
Suppose 2/5*g**4 - 6/5*g**2 + 2*g - 2/5*g**3 - 4/5 = 0. What is g?
-2, 1
Factor 0*h + 0 + 2/5*h**2.
2*h**2/5
Suppose -23 = -8*j + 9. Let f(l) be the first derivative of 4/11*l + 3 + 1/22*l**j + 8/33*l**3 + 5/11*l**2. Factor f(h).
2*(h + 1)**2*(h + 2)/11
Let c(d) be the third derivative of -d**8/84 + 2*d**6/15 - 2*d**5/15 - d**4/2 + 4*d**3/3 - 16*d**2. Let c(m) = 0. What is m?
-2, -1, 1
Let m be 0*(0 - -4 - 5). Suppose m = -4*f + 5*f. Determine t, given that 1/3*t**2 + 2/3*t + f = 0.
-2, 0
Let z(t) be the second derivative of -t**4/20 + 3*t**3/10 - 3*t**2/5 - 15*t. Factor z(w).
-3*(w - 2)*(w - 1)/5
Let b(c) be the third derivative of 0 + 5/84*c**4 - c**2 - 2/21*c**3 + 0*c - 2/105*c**5 + 1/420*c**6. Determine r so that b(r) = 0.
1, 2
Let s(q) be the second derivative of -3*q**6/2 - 21*q**5/4 - 65*q**4/12 + 5*q**3/6 + 5*q**2 - 12*q. Find w such that s(w) = 0.
-1, -2/3, 1/3
Let v(w) = -9*w**3 + 21*w**2 - 87*w + 75. Let r(q) = -5*q**3 + 6*q**3 + q**2 - 3 + q + 4. Let i(u) = -6*r(u) - v(u). Determine k, given that i(k) = 0.
3
Let u be (-1 + -3)/(-12 - -11). Suppose -5*s - 4*l + 10 = -9*l, 2*s = -u*l + 4. Suppose 3/4*c - 1/2 + 3/4*c**5 - 3/2*c**3 - 1/2*c**4 + c**s = 0. What is c?
-1, 2/3, 1
Let -351*n**2 + 12*n + 348*n**2 + 3*n**3 - 15*n**3 + 3*n**4 = 0. What is n?
-1, 0, 1, 4
Suppose 0 = p - 3*p + 4. Determine l, given that 13*l**2 + 4*l**3 + 12*l + l**4 - p + 6 + l**3 + l**3 = 0.
-2, -1
Let w be 2 + 60/(-27) + (-88)/(-288). Let k(j) be the second derivative of 1/6*j**3 + 0 - j - w*j**4 + 1/2*j**2 - 1/20*j**5. Factor k(y).
-(y - 1)*(y + 1)**2
Let o(n) be the third derivative of n**7/490 - n**6/70 + 3*n**5/140 + n**2. Determine v so that o(v) = 0.
0, 1, 3
Let v(g) = -g**2 - g - 1. Let u(p) = 9*p**2 - 33*p + 45. Let n(r) = 2*u(r) + 14*v(r). Factor n(j).
4*(j - 19)*(j - 1)
Let w(k) = -8*k**2 + 6*k - 8. Let p(t) = -3*t**2 + 2*t - 3. Suppose 5*q = q - 16. Let m(y) = q*w(y) + 11*p(y). Let m(z) = 0. What is z?
-1
Let 0 - 6*a**3 + 4/7*a + 2/7*a**2 = 0. Calculate a.
-2/7, 0, 1/3
Let l(d) be the first derivative of -1/3*d**2 + 4/9*d**3 + 3 - 1/6*d**4 + 0*d. Factor l(h).
-2*h*(h - 1)**2/3
Let f(y) be the second derivative of 2*y**6/15 + y**5/5 - 16*y. Find i, given that f(i) = 0.
-1, 0
Let p = 36 + -23. Let u be 2 + 0 - (p - 13). What is r in 2*r**u + 0 - 14/5*r**3 - 2/5*r + 6/5*r**4 = 0?
0, 1/3, 1
Let u be 66/(-14)*232/6. Let h = -182 - u. Let -2/7 + 6/7*y - 6/7*y**2 + h*y**3 = 0. Calculate y.
1
Let n(u) be the second derivative of 3*u**5/20 + u**4/4 - u**3 - 18*u. Determine o, given that n(o) = 0.
-2, 0, 1
Let f(h) = h**3 + 4*h**2 - 7*h - 24. Let j be f(-4). Factor 1/2*i + 21/4*i**3 + 11/4*i**2 + 17/4*i**j + 0 + 5/4*i**5.
i*(i + 1)**3*(5*i + 2)/4
Let r(j) be the second derivative of j**6/2 + j**5 - 5*j**4/12 - 5*j**3/3 - 9*j. Find b, given that r(b) = 0.
-1, 0, 2/3
Let z(p) be the third derivative of p**11/498960 + p**10/226800 - 7*p**5/60 - 2*p**2. Let v(b) be the third derivative of z(b). Solve v(f) = 0.
-1, 0
Factor -12*y**2 + y**4 - 642 + y**4 - 2*y**3 + 642.
2*y**2*(y - 3)*(y + 2)
Suppose 0 = 2*c + 2*v + 4, 4*v = -2*c - 3 - 9. Determine z so that -1/2*z - 1/2*z**c + 1 = 0.
-2, 1
Let r(t) = -2*t**4 + 11*t**2 - 9*t + 5. Let v(k) = k**4 - 6*k**2 + 5*k - 3. Let s = -4 + 7. Let q(z) = s*r(z) + 5*v(z). What is u in q(u) = 0?
-2, 0, 1
Let w be -1*2/(-4) + 32/(-64). Factor -2/3*h + 2/3*h**3 + w*h**2 + 0.
2*h*(h - 1)*(h + 1)/3
Suppose -512 - 256*g - 1/8*g**4 - 48*g**2 - 4*g**3 = 0. Calculate g.
-8
Let k(y) be the third derivative of y**7/2205 - y**6/1260 - y**5/210 + 5*y**4/252 - 2*y**3/63 - 7*y**2. Factor k(a).
2*(a - 1)**3*(a + 2)/21
Let y = -1635/4 - -392. Let p = y + 209/12. Suppose -2/9 - 2/9*w**3 - 2/3*w**2 - p*w = 0. What is w?
-1
Let o = -101108/3 - -34042. Let h = o + -336. Find x, given that 4/3 + h*x**2 + 14/3*x = 0.
-1, -2/5
Factor 1 + 5 + 6*l - 5 + 2*l**3 + 1 + 6*l**2.
2*(l + 1)**3
Suppose 23 = 3*f + 8. Suppose 1 = -j + f. Factor -32/3*h + 16/3 + 8*h**2 + 1/3*h**j - 8/3*h**3.
(h - 2)**4/3
Let t(x) be the second derivative of -x**7/840 + x**6/180 - x**3/3 + x. Let c(r) be the second derivative of t(r). Solve c(f) = 0.
0, 2
Let g(v) be the first derivative of 5*v**4/4 - 5*v**2/2 - 11. Let g(o) = 0. Calculate o.
-1, 0, 1
Let j(s) be the third derivative of -s**7/840 - s**6/480 + s**5/240 + s**4/96 + 8*s**2. Factor j(h).
-h*(h - 1)*(h + 1)**2/4
Let c(a) = 2*a**2 - 12*a + 23. Let l(k) = 3*k**2 - 18*k + 35. Let f(q) = -8*c(q) + 5*l(q). Factor f(z).
-(z - 3)**2
Suppose -1 + 1 = -12*a. Suppose 6/13*d**2 - 2/13*d**3 + a*d - 8/13 = 0. What is d?
-1, 2
What is i in 9/7*i**3 - 3/7*i**4 - 12/7*i + 0*i**2 + 0 = 0?
-1, 0, 2
Let g = -8 - -12. Suppose 0 = 3*q - g*q + m + 2, -3*m = 0. Factor -1/2*j + 0 - 1/2*j**q.
-j*(j + 1)/2
Let c(u) be the first derivative of -u**7/126 - u**6/180 - u**2 - 3. Let m(b) be the second derivative of c(b). Factor m(f).
-f**3*(5*f + 2)/3
Suppose 4*v + 9 - 2 = -5*w, -5*v + 22 = -4*w. Factor -2*o**3 - 6*o**4 + o**5 - 3*o**5 + v*o**4.
-2*o**3*(o + 1)**2
Let q(g) = 3*g**2 - 1. Let o(f) = f**3 - f**2 - f - 1. Let m(r) = 4*o(r) + 4*q(r). Suppose m(l) = 0. What is l?
-2, -1, 1
Factor -5*f - 19*f**2 + 12 + 22*f**2 - 7*f.
3*(f - 2)**2
Let k = -538 + 538. Determine p so that -1/3 + k*p + 0*p**3 - 1/3*p**4 + 2/3*p**2 = 0.
-1, 1
Let b(k) = k - 1. Let u(f) = 2*f**2 + 2*f - 1. Let a(d) = 3*b(d) + u(d). Let j(o) = -2*o**2 - 4*o + 4. Let w(q) = -2*a(q) - 3*j(q). Factor w(p).
2*(p - 1)*(p + 2)
Let x be (50/105)/((-10)/(-35)). What is j in -3*j**2 - 13/3*j**3 - x*j**4 + 2/3 + 1/3*j = 0?
-1, 2/5
Solve 57*g**2 - 10 - 29*g**2 - 23*g**2 - 5*g = 0.
-1, 2
Let r(o) = o**2 + 8*o + 9. Let a be r(-7). Factor -3*u**2 + a*u**2 + 0*u**3 - 3*u - 3*u**3 - 5*u**2.
-3*u*(u + 1)**2
Let n(w) be the third derivative of w**6/360 + w**5/60 + w**4/24 - w**3/6 + 2*w**2. Let a(o) be the first derivative of n(o). Factor a(l).
(l + 1)**2
Let d = -119 - -239/2. Factor 0 - 3/4*t**2 - d*t.
-t*(3*t + 2)/4
Suppose 0 + 8 = 2*g. Suppose g*o - 5 = 3. Factor -3/4*j - 1/2 - 1/4*j**o.
-(j + 1)*(j + 2)/4
Let m(q) = q + 7. Let x be m(6). Solve -3 + 3*j - 6*j**2 + 11*j**3 - 18*j + x*j**3 = 0 for j.
-1/2, -1/4, 1
Let u(d) be the third derivative of d**8/756 - d**7/189 + d**6/180 + d**5/270 - d**4/108 + 63*d**2. Suppose u(f) = 0. Calculate f.
-1/2, 0, 1
Suppose t - 2 = -5. Let l(x) = -x**3 - 4*x**2 + 4*x + 4. Let h(j) = -j**3 - 3*j**2 + 3*j + 3. Let y(o) = t*h(o) + 2*l(o). Determine w so that y(w) = 0.
-1, 1
Let b(w) be the third derivative of -w**6/40 + w**5/4 - w**2. Factor b(n).
-3*n**2*(n - 5)
Let m(j) be the third derivative of j**8/168 + 4*j**7/105 + j**6/15 + 3*j**2 - 9*j. Let m(n) = 0. What is n?
-2, 0
Let y(r) be the first derivative of 14*r**3/51 + 12*r**2/17 - 8*r/17 - 51. Factor y(t).
2*(t + 2)*(7*t - 2)/17
Let o(v) = -7*v. Let f be o(-1). Let x(t) = 2*t**3 - 6*t**2. Let c(h) = 4*h**3 - 11*h**2. Let n(i) = f*x(i) - 4*c(i). Find b, given that n(b) = 0.
0, 1
Suppose 4*i - 4*c = 2*i, 3*i = -2*c + 8. Determine l so that 0*l**4 + 28*l**3 - 34*l**3 - 3*l**4 - 2*l**2 - l**i = 0.
-1, 0
Let a be (-10)/(-60)*(-2)/(-1*14). Let d(i) be the second derivative of 0*i**2 - 1/12*i**4 + a*i**7 - 3*i + 1/30*i**6 + 0*i**3 + 0 - 1/20*i**5. Factor