 p*f - 2/3*f**4 + 0.
-2*f*(f - 2)**3/3
Let m be 2/5 - (-6)/(-18). Let a(i) be the second derivative of -i + 1/10*i**5 + 0 - 1/6*i**4 + m*i**6 + 0*i**2 - 1/3*i**3. Suppose a(d) = 0. Calculate d.
-1, 0, 1
Factor -832*r**4 + 384*r**2 - 256*r**5 - 141*r + 114*r**2 + 82*r**2 - 35*r - 304*r**3 + 16.
-4*(r + 2)**2*(4*r - 1)**3
Let r(d) be the first derivative of d**7/315 - d**6/90 - 3*d**2 - 3. Let x(u) be the second derivative of r(u). Let x(t) = 0. Calculate t.
0, 2
Solve -2*i**3 - 6/7*i**5 + 0 + 4/7*i**2 + 16/7*i**4 + 0*i = 0 for i.
0, 2/3, 1
Let b be ((-27)/(-30))/(36/60). Find h, given that 3*h**3 - b - 3*h + 0*h**2 + 3/2*h**4 = 0.
-1, 1
Let h(l) be the first derivative of 1/18*l**6 + 4/15*l**5 - 3 + 4/9*l**3 + 0*l + 1/2*l**4 + 1/6*l**2. Determine o, given that h(o) = 0.
-1, 0
Let k = 3/41 + 541/451. Let 0 + 6/11*y**3 + k*y**2 + 4/11*y = 0. Calculate y.
-2, -1/3, 0
Factor -1/4*t**4 - 1/4*t**3 + 0*t**2 + 0 + 0*t.
-t**3*(t + 1)/4
Let j(t) be the second derivative of 3*t**4/16 - 7*t**3/24 - t**2/4 + 4*t. Factor j(i).
(i - 1)*(9*i + 2)/4
Let x(s) be the first derivative of 0*s + 1/2*s**3 + 1/8*s**2 + 1/2*s**4 + 1 - 3/10*s**5 - 3/8*s**6. What is u in x(u) = 0?
-1, -1/3, 0, 1
Factor -44*d + 8*d**2 - 5*d**3 - 15 + 7 + 49*d**3.
4*(d - 1)*(d + 1)*(11*d + 2)
Let d = 4 - -1. Find a such that 0*a - 10*a**2 + d*a**2 - 2*a = 0.
-2/5, 0
Let o(d) = -13*d**2 - 155*d - 795. Let w(i) = 19*i**2 + 233*i + 1193. Let v(u) = -7*o(u) - 5*w(u). Factor v(c).
-4*(c + 10)**2
Let t(a) = 16*a**3 + 26*a**2 - 11*a - 20. Let g(m) be the first derivative of 3*m**4/4 + 5*m**3/3 - m**2 - 4*m - 4. Let x(j) = -11*g(j) + 2*t(j). Factor x(h).
-(h - 1)*(h + 2)**2
Let t(f) be the second derivative of 0 + 35/2*f**4 - 15/4*f**5 - 22*f**3 + 5*f + 12*f**2. Factor t(j).
-3*(j - 2)*(5*j - 2)**2
Suppose -4*m + m = -12. Let n = -2 + m. Suppose 5*c - 15*c**3 + c + 0*c + 6*c**5 - 3*c**4 + 3*c**n + 3*c**5 = 0. What is c?
-1, -2/3, 0, 1
Let l be (-196)/66 + 12/4. Let q(a) be the second derivative of 0*a**2 + 0 - l*a**4 + a + 1/33*a**3 + 1/110*a**5. Factor q(x).
2*x*(x - 1)**2/11
Let g(w) be the second derivative of w**4/108 + w**3/27 - w**2/6 + 30*w. Factor g(c).
(c - 1)*(c + 3)/9
Let v(c) be the third derivative of c**8/448 - c**7/140 + c**6/160 + 7*c**2. Solve v(j) = 0 for j.
0, 1
Let q(x) be the second derivative of x**5/30 + x**4/6 + 2*x**3/9 + 2*x. Factor q(k).
2*k*(k + 1)*(k + 2)/3
Let y(m) = m - 17. Let l be y(19). Let r(k) be the second derivative of 1/18*k**4 + 0 - 2*k + 0*k**l + 0*k**3 - 1/30*k**5. Factor r(i).
-2*i**2*(i - 1)/3
Determine w so that 0*w + 0 + 3/2*w**2 + 1/4*w**3 = 0.
-6, 0
Let a(k) = k + 5. Suppose 2*b = -3*b. Let g be a(b). Find j, given that -4/5*j**4 + 4/5*j**2 + 0*j**3 + 2/5*j**g + 0 - 2/5*j = 0.
-1, 0, 1
Let l(p) be the second derivative of -p**4/4 - 5*p**3/6 - p**2 - 55*p. Factor l(j).
-(j + 1)*(3*j + 2)
Let v(g) be the first derivative of -3 + 1/2*g**2 - 1/4*g**3 - g + 1/24*g**4. Let x(a) be the first derivative of v(a). Let x(k) = 0. What is k?
1, 2
Suppose -5*l - 3*y - 3 = -4*l, 10 = -5*y. Let j(i) be the first derivative of -4/15*i**l + 1/10*i**4 - 1/5*i**2 + 1 + 4/5*i. What is m in j(m) = 0?
-1, 1, 2
Let h = 8 + -39/5. Let d(c) be the first derivative of -2 + 1/5*c**2 - h*c - 1/15*c**3. Let d(j) = 0. What is j?
1
Let v(g) be the first derivative of -7*g**5/5 + 6*g**4 - 10*g**3 + 8*g**2 - 3*g - 7. Suppose v(r) = 0. What is r?
3/7, 1
Let m(c) = 4*c**5 - 4*c**4 + 100*c**3 - 20*c**2 - 184*c - 80. Let u(f) = f**5 - f**4 + 20*f**3 - 4*f**2 - 37*f - 16. Let y(b) = -5*m(b) + 24*u(b). Factor y(t).
4*(t - 2)**2*(t + 1)**3
Let j(b) = 6*b**2 - 33*b + 33. Let a(f) = -3*f**2 + 16*f - 16. Let p(k) = -9*a(k) - 4*j(k). Let p(m) = 0. What is m?
2
Let g be 4060/126 - (-4)/(-18). Suppose -5*o + g = 12. Find k, given that 3/2*k**2 - 2 - k**4 + 5/2*k**3 - o*k = 0.
-1, -1/2, 2
Let a be (3*(-8)/36)/(-2). Suppose -1/3*f**2 + a*f + 0 = 0. Calculate f.
0, 1
Suppose -4 - 3*i**3 + 1 - 7 + i**4 - 2*i**2 + 2 + 12*i = 0. Calculate i.
-2, 1, 2
Let c(k) be the third derivative of 0*k**5 + 1/360*k**6 - 1/6*k**3 + 0*k**4 + 0*k + 0 + k**2. Let r(h) be the first derivative of c(h). Solve r(j) = 0.
0
Let 0*v + 0 - 6/7*v**2 + 27/7*v**3 = 0. Calculate v.
0, 2/9
Let d(q) = 125*q**3 + 126*q**2 + 60*q + 8. Let n(p) = -3*p**2 + p**2 + 5*p**2 + 0*p**2. Let j(z) = -3*d(z) - 24*n(z). Factor j(o).
-3*(5*o + 2)**3
Suppose 0 = -3*u - 0*u. Suppose u = -0*o + 2*o - 6. Find l such that 6*l**o - l**2 - 2 + 2 - 2*l - 5*l**3 = 0.
-1, 0, 2
Let k(v) be the second derivative of v**7/294 + v**6/210 - 3*v**5/140 - v**4/84 + v**3/21 - 4*v. Suppose k(q) = 0. Calculate q.
-2, -1, 0, 1
Let g(n) = n**2 - n - 18. Let a be g(-4). Factor -4*k + a + 5/2*k**2 - 1/2*k**3.
-(k - 2)**2*(k - 1)/2
Let p = 43/20 + -7/5. Let d(z) be the first derivative of -2 - p*z**4 - 9/10*z**5 + 3/2*z**2 + 1/2*z + 4/3*z**3. Find n such that d(n) = 0.
-1, -1/3, 1
Let h(b) = b**2 + b - 2. Let p be h(1). Factor 0 - 2/11*q**5 + 2/11*q - 4/11*q**2 + p*q**3 + 4/11*q**4.
-2*q*(q - 1)**3*(q + 1)/11
Determine h so that 0 + 0*h + 1/2*h**3 + 1/2*h**5 + h**4 + 0*h**2 = 0.
-1, 0
Let w(d) be the first derivative of 5*d**4/4 + 20*d**3/3 - 15*d**2/2 - 90*d + 37. Solve w(t) = 0 for t.
-3, 2
Let v(x) be the third derivative of -x**10/453600 - x**9/90720 - x**8/60480 - x**5/60 + 6*x**2. Let q(w) be the third derivative of v(w). Factor q(h).
-h**2*(h + 1)**2/3
Let t = 60 + -58. Factor -1/3*c + 2/3 - 1/3*c**t.
-(c - 1)*(c + 2)/3
Factor 0 - 1/4*v**2 - 1/4*v.
-v*(v + 1)/4
Suppose -5*d - s = -7, 3*s = -0*s - 9. Determine x so that -21*x**3 + 2*x**d + 19*x**3 - 2 + 2 = 0.
0, 1
Let l(x) be the first derivative of 4 - 4/3*x**3 + 6*x**2 - 8*x. Factor l(w).
-4*(w - 2)*(w - 1)
Suppose 15 + 0 = r. Factor -3*t**5 - 6*t**3 - 35*t**3 + 12*t**2 + 23*t**3 + 24*t - r*t**4.
-3*t*(t - 1)*(t + 2)**3
Factor -8 - 36*j - 94*j**4 + 42*j**4 - 60*j**2 + 40*j**4 - 44*j**3.
-4*(j + 1)**3*(3*j + 2)
Suppose -1/3*l**4 + 0*l**3 + 0*l**2 - 1/3*l**5 + 0*l + 0 = 0. Calculate l.
-1, 0
Let h(o) be the third derivative of -o**5/120 + o**4/16 - o**3/6 - 2*o**2. Find t, given that h(t) = 0.
1, 2
Let z be -6*3/((-42)/7). Let 96/5*c - 3/5*c**4 - 72/5*c**2 - 48/5 + 24/5*c**z = 0. What is c?
2
Factor -4/5 - q**2 + 1/5*q**3 + 8/5*q.
(q - 2)**2*(q - 1)/5
Let m = 114/185 + -8/37. Factor m*o**3 + 0 - 6/5*o**2 + 4/5*o.
2*o*(o - 2)*(o - 1)/5
Factor -3 + 2*k**2 + 4*k - 4 - 2 - 7.
2*(k - 2)*(k + 4)
Let a(h) be the third derivative of -7*h**5/180 + h**4/8 - h**3/9 - 8*h**2. Factor a(p).
-(p - 1)*(7*p - 2)/3
Suppose 2*g + 2 = v + 5, -4*g - 3*v = -21. Factor -2/5*a**g + 0 + 2/5*a**2 + 2/5*a - 2/5*a**4.
-2*a*(a - 1)*(a + 1)**2/5
Let h(v) be the first derivative of -2*v**5/45 - v**4/2 - 16*v**3/9 - 16*v**2/9 + 2. Suppose h(c) = 0. Calculate c.
-4, -1, 0
Let s be 0/(2 - (-4 - -4)). Let n(a) be the second derivative of -1/30*a**4 + 4*a + 0*a**2 + s + 1/15*a**3. Suppose n(p) = 0. Calculate p.
0, 1
Let n(k) be the first derivative of 4*k + 8 + 3/2*k**2 - 1/3*k**3. Factor n(r).
-(r - 4)*(r + 1)
Let c(d) = d**2 + 3*d - 6. Let b be c(-5). Let m = b - 1. Factor -2/7*w**2 + 0*w + 0*w**m + 2/7*w**4 + 0.
2*w**2*(w - 1)*(w + 1)/7
Suppose 3 = -3*i, -5*l + 4*i = -12 - 12. Let 2*g**3 - 2/3*g**2 - 2*g**l + 2/3*g**5 + 0*g + 0 = 0. Calculate g.
0, 1
Let q = 45/7 + 197/14. Let u = q - 20. Find c, given that -1/2*c**2 - u - c = 0.
-1
Suppose 4*k - 8 = 2*k. Suppose -9*v = -11*v + k. Determine p so that -2/3*p + 0 - 8/3*p**v = 0.
-1/4, 0
Let a(m) = -3*m**3 + m**2 - m + 1. Let d = -6 + 7. Let t(u) = u**3 - u**2 + u - 1. Let x(k) = d*a(k) + t(k). Factor x(o).
-2*o**3
Solve -2/3*u**2 - 2/3 - 4/3*u = 0 for u.
-1
Let r(q) be the first derivative of q**9/3024 + q**8/840 - q**6/180 - q**5/120 - 2*q**3/3 + 1. Let l(d) be the third derivative of r(d). Factor l(c).
c*(c - 1)*(c + 1)**3
Factor 0*o**3 + 9*o**2 + 3*o**3 + 27*o - 10*o**2 - 17*o**2.
3*o*(o - 3)**2
Suppose 0 = l - 2 + 5. Let n be (9/12)/(l/(-12)). Factor 3*p**3 - 3 - p**3 + n - p**2.
p**2*(2*p - 1)
Let q be (-29)/(-120) + 7/(-35). Let t(l) be the first derivative of -1/8*l**4 - 1 + q*l**6 + 0*l**3 + 0*l + 0*l**5 + 1/8*l**2. Factor t(w).
w*(w - 1)**2*(w + 1)**2/4
Suppose -3*f = -5*r + 7, -3*f + r + 3 = 2*f. Find p such that -7*p + f + 2*p**2 + 11*p + 1 = 0.
-1
Factor 0 - 15*r**3 - 25/2*r**2 + 5/2