c - 2/3*b**3.
-2*(b + 3)**3/3
Factor 0 + 2*k**4 - 4*k**2 + 4*k**3 + 0 - 2*k**3.
2*k**2*(k - 1)*(k + 2)
Let p(c) be the second derivative of -c**5/20 - c**4/12 + c**3/3 - 9*c. Determine g so that p(g) = 0.
-2, 0, 1
Factor 1/3*t**2 + 0*t + 0*t**3 + 0 - 1/3*t**4.
-t**2*(t - 1)*(t + 1)/3
Let c(l) be the second derivative of -1/10*l**5 + 0 - 4/15*l**3 + 0*l**2 - 2*l + 1/75*l**6 + 4/15*l**4. Factor c(a).
2*a*(a - 2)**2*(a - 1)/5
Factor 9/5*f**2 + 6/5*f + 3/5*f**3 + 0.
3*f*(f + 1)*(f + 2)/5
Suppose -2/11*x**4 + 0*x + 8/11*x**2 - 2/11*x**5 + 8/11*x**3 + 0 = 0. Calculate x.
-2, -1, 0, 2
Factor 2/3*m**5 + 2/3*m**3 + 0*m - 4/3*m**4 + 0 + 0*m**2.
2*m**3*(m - 1)**2/3
Let f be (-432)/(-168) + 8/(-14). Let t(v) be the first derivative of -1/5*v**4 + 2/25*v**5 - 4/15*v**3 + 1/15*v**6 + 2/5*v + 1/5*v**f + 3. Factor t(k).
2*(k - 1)**2*(k + 1)**3/5
Let r be 8/4 + 14/(-21). Factor -2/3*w**2 - r*w - 2/3.
-2*(w + 1)**2/3
Let 0 + 3/4*p**2 - 1/2*p + 0*p**3 - 1/4*p**4 = 0. What is p?
-2, 0, 1
Let d = -183/3400 - -1/17. Let r(t) be the third derivative of 0*t + 0*t**3 + 2*t**2 + 0 + 1/20*t**4 - d*t**6 + 1/100*t**5. Suppose r(f) = 0. Calculate f.
-1, 0, 2
Let k(v) be the third derivative of -v**7/30 - v**6/60 + 7*v**5/60 + v**4/12 + v**2. Factor k(s).
-s*(s - 1)*(s + 1)*(7*s + 2)
Find i, given that -2/3*i**2 + 0*i**3 + 0*i + 0 + 2/3*i**4 = 0.
-1, 0, 1
Let d = 44 - 29. Let s be (-6)/d*5/(-6). Factor 2/3 + 4/3*h**2 + 5/3*h + s*h**3.
(h + 1)**2*(h + 2)/3
Let y(h) be the third derivative of -h**6/720 - h**5/120 + h**3/6 - 3*h**2. Let a(k) be the first derivative of y(k). Solve a(s) = 0 for s.
-2, 0
Let b(y) be the third derivative of 0 - 1/210*y**5 + 0*y + 1/84*y**4 + 2*y**2 + 2/21*y**3. Factor b(j).
-2*(j - 2)*(j + 1)/7
Let d(l) be the second derivative of -l**4/36 + l**3/9 + l**2/2 + 12*l. Solve d(z) = 0 for z.
-1, 3
Let a(l) be the second derivative of -l**5/35 - 2*l**4/21 - 2*l**3/21 - 6*l. Factor a(z).
-4*z*(z + 1)**2/7
Let m(f) be the second derivative of 3*f**5/20 + 5*f**4/4 + 7*f**3/2 + 9*f**2/2 + 15*f - 2. Factor m(i).
3*(i + 1)**2*(i + 3)
Suppose 5*y = 2*i - 2 - 2, -3*y + 34 = 4*i. Suppose 0 = i*n - 2*n. Suppose n + 2*v**3 - 2*v**2 + 0 = 0. Calculate v.
0, 1
Find o, given that -17/6*o - 1/3 - 9/2*o**3 - 7*o**2 = 0.
-1, -1/3, -2/9
Let q(x) be the first derivative of -x**3/24 - 19*x**2/8 - 361*x/8 - 59. Determine a so that q(a) = 0.
-19
Let j(k) be the third derivative of -k**9/30240 + k**8/10080 + k**5/30 + 4*k**2. Let o(m) be the third derivative of j(m). Factor o(u).
-2*u**2*(u - 1)
Factor 0*g**2 - 2*g**2 - 800 + 6*g**2 - 80*g - 6*g**2.
-2*(g + 20)**2
Let g(v) = -3*v**2 - 57*v - 12. Let m(w) = -w**2 - 23*w - 5. Suppose -4*d = 6 - 34. Let u = 2 - d. Let j(k) = u*g(k) + 12*m(k). Determine p so that j(p) = 0.
-3, 0
Find u, given that 0*u - 1/2 - 1/8*u**3 + 3/8*u**2 = 0.
-1, 2
Let t(f) be the third derivative of 0*f + 6*f**2 + 1/32*f**4 - 1/160*f**6 + 1/40*f**5 - 1/4*f**3 + 0. Determine d so that t(d) = 0.
-1, 1, 2
Factor 160*c + 10*c**3 - 36 + 32 + 85*c**2 + 64.
5*(c + 2)*(c + 6)*(2*c + 1)
Let x(h) = -h**3 + 6*h**2 - 5*h + 4. Let d be x(6). Let w be (-32)/(-39) - (-4)/d. Suppose 0 + 2/3*n**3 - w*n**4 - 2/3*n + 2/3*n**2 = 0. What is n?
-1, 0, 1
Let y(i) be the second derivative of 0*i**6 + 0*i**3 - 1/21*i**7 + 0*i**4 + 0*i**2 + 1/10*i**5 + 0 + i. Factor y(l).
-2*l**3*(l - 1)*(l + 1)
Let k be (2/(-4) - 2)*2. Let q(w) = 4*w**3 + 4*w**2 + w - 4. Let u(p) = -5*p**3 - 5*p**2 - p + 5. Let a(y) = k*u(y) - 6*q(y). Find v such that a(v) = 0.
-1, 1
Let l(g) be the third derivative of g**6/390 + g**5/130 - g**3/39 + 4*g**2. Factor l(w).
2*(w + 1)**2*(2*w - 1)/13
Let m(l) be the third derivative of -l**6/840 - l**5/140 + 2*l**3/21 + 5*l**2. Factor m(w).
-(w - 1)*(w + 2)**2/7
Let s(x) be the third derivative of -x**6/120 - x**5/20 + 2*x**3/3 - 11*x**2. Solve s(u) = 0 for u.
-2, 1
Let q(c) = 3*c**2 - c + 1. Let l be q(1). Suppose 10 = 8*k - 3*k. Factor l*v - 8 + 3 - 3 - k*v**2 + 5*v.
-2*(v - 2)**2
Suppose -5 = -5*h + 5. Let k be 6 + 2*(-3)/h. Solve -3*m**2 + k*m + 2*m**2 - 3*m**2 + 7*m**2 = 0.
-1, 0
Let g be (-1366)/40 - (-1)/(-4). Let i = -34 - g. Let -2/5*h**2 + 0*h + 2/5*h**4 + i*h**3 - 2/5*h**5 + 0 = 0. What is h?
-1, 0, 1
What is o in 16/3 + 0*o - 4/3*o**2 = 0?
-2, 2
Let o(w) = w**2 - w. Let c be o(2). Factor 2*n - 8*n**2 + 0*n**2 + 7*n**c.
-n*(n - 2)
Factor 3*z**2 - z**2 + 12*z**3 + 5*z**3 - 15*z**3.
2*z**2*(z + 1)
Let z = 63/130 + 1/65. Factor z*g + 0 + 1/2*g**2.
g*(g + 1)/2
Let x(l) be the third derivative of l**6/200 + l**5/100 + 5*l**2. Let x(d) = 0. Calculate d.
-1, 0
Let b(j) be the third derivative of j**5/60 - j**4/12 + j**3/6 + 12*j**2. Factor b(c).
(c - 1)**2
Let g(n) be the second derivative of -n**5/10 + n**4/3 + n**3/3 - 2*n**2 + 11*n. Determine k so that g(k) = 0.
-1, 1, 2
Suppose -2*q - n + 0 + 2 = 0, -3*q = -n + 2. Suppose -4 = -5*j + 4*s, -31 - 1 = -4*j - 4*s. Factor h**3 - h - 3/2*h**2 + q + 3/2*h**j.
h*(h - 1)*(h + 1)*(3*h + 2)/2
Let i be (-4)/(1*(-1)/1). Let t be (2 + 1)/(6/i). Factor -2*m**3 - 8*m**2 + 8*m**2 + t*m**4.
2*m**3*(m - 1)
Let a(q) be the first derivative of -1/6*q**5 - 1/36*q**6 + 1/18*q**3 - 7/24*q**4 + 2/3*q**2 + 2/3*q + 3. Let a(o) = 0. What is o?
-2, -1, 1
Let v(h) be the second derivative of -h**7/294 - 2*h**6/105 - h**5/28 - h**4/42 + 50*h. What is w in v(w) = 0?
-2, -1, 0
Let n(p) be the first derivative of 1/6*p**3 + 0*p**2 - 1/8*p**4 + 2 + 0*p. What is m in n(m) = 0?
0, 1
Factor -1/2*w**2 + w**3 - 1/2*w + 0.
w*(w - 1)*(2*w + 1)/2
Let d be ((-4)/2)/(-2) + 1. Suppose o + d*m = m + 5, -11 = -o - 3*m. Factor 10*s**3 - 4*s**o - 4*s**4 + s**3 + 1 + s - 5*s**2.
-(s - 1)**3*(4*s + 1)
Let v be (-10)/(-45) + 16/9. Factor 4/3*p**3 - v*p + 2*p**4 + 2/3*p**5 - 2/3 - 4/3*p**2.
2*(p - 1)*(p + 1)**4/3
Let l(s) = 79*s**2 + 38*s + 2. Let m(p) = -p**2 + p - 1. Let r(i) = -2*l(i) + 4*m(i). Factor r(n).
-2*(9*n + 2)**2
Suppose -2*v - 10 = -7*v. Factor -m**4 + 4 + m**3 - 2*m - 2*m**v - 2*m - m**2 + 3*m**3.
-(m - 2)**2*(m - 1)*(m + 1)
Let n(v) = 2*v**3 - 12*v**2 + 11*v - 64. Let g be n(6). Determine b so that 0*b + 0 + 1/4*b**g - 1/4*b**3 + 1/4*b**5 - 1/4*b**4 = 0.
-1, 0, 1
Let h(d) be the second derivative of d**5/5 - 10*d**4/3 + 31*d. Determine b so that h(b) = 0.
0, 10
Factor 4/5*o**2 + 12/5*o - 16/5.
4*(o - 1)*(o + 4)/5
Let r(a) = 4*a**4 - 10*a**3 - 28*a**2 - 2*a + 24. Let c(l) = -8*l**4 + 19*l**3 + 56*l**2 + 3*l - 48. Let d(g) = -6*c(g) - 11*r(g). Solve d(s) = 0 for s.
-2, -1, 1, 3
Let m(h) be the third derivative of 1/300*h**6 - 1/60*h**4 + 0 + 1/15*h**3 + h**2 + 0*h - 1/150*h**5. Factor m(x).
2*(x - 1)**2*(x + 1)/5
Let s be (7059/180)/13 + -3. Let v(x) be the third derivative of 0 + 0*x + s*x**4 + 1/15*x**3 + x**2 - 1/75*x**5. Factor v(r).
-2*(r - 1)*(2*r + 1)/5
Let s(t) = 6*t**4 - 2*t**3 - 4*t**3 - 8*t**2 + 7*t + t**2. Let z(c) = 5*c**2 + 2*c**2 - c**2 - 6*c - 5*c**4 + 5*c**3. Let v(r) = -6*s(r) - 7*z(r). Factor v(i).
-i**3*(i - 1)
Let v be 36/(-10) + -1 - -5. Find z, given that v*z - 2/5*z**3 + z**4 - z**2 + 0 = 0.
-1, 0, 2/5, 1
Factor 5*w**2 + w**4 + 16*w - 24*w + 10*w + 4*w**3 + 0*w**3.
w*(w + 1)**2*(w + 2)
Suppose -4*t - 3 = -3*n, -4*n + 5*t = 2*t - 11. Let o(l) be the second derivative of 1/20*l**n + 0 - l + 0*l**4 - 1/2*l**3 - l**2. Solve o(f) = 0.
-1, 2
Let r(d) = d**2 - 17*d. Let n be r(17). Let j(l) be the first derivative of n*l**2 - 3 + 0*l + 1/14*l**4 - 2/21*l**3. Solve j(h) = 0 for h.
0, 1
Let b(a) = -a**2 + 3*a + 4. Let x be b(4). Let i = 150 - 448/3. Find d, given that 10*d**3 + 26/3*d**4 + x + 14/3*d**2 + i*d + 8/3*d**5 = 0.
-1, -1/4, 0
Factor 1/3*h**3 - 1/3*h + 2/3 - 2/3*h**2.
(h - 2)*(h - 1)*(h + 1)/3
Let r(z) be the first derivative of -z**5/180 + z**4/36 - z**3/18 + z**2/2 - 3. Let q(g) be the second derivative of r(g). Factor q(o).
-(o - 1)**2/3
Suppose l + 15 = 4*l. Determine w so that -3*w**2 - w**2 + 2*w**2 + w + 2*w**4 - w**l = 0.
-1, 0, 1
Let -3/5*o**3 - 17/5*o**2 + 0 - 2*o = 0. What is o?
-5, -2/3, 0
Let i be (-3 - 1) + 1/((-12)/(-57)). Factor 0 + 3/4*s**5 + i*s**4 - 3/4*s**2 - 3/4*s**3 + 0*s.
3*s**2*(s - 1)*(s + 1)**2/4
Let f(b) be the second derivative of -1/3*b**4 - 1/21*b**7 + 0 + 3/10*b**5 + 0*b**3 + 0*b**6 + 0*b**2 + 10*b. Determine w, given that f(w) = 0.
-2, 0, 1
What is b in -31*b**3 - 5*b**4 - 40*b**2 + 63*