 3 + 2*d**4 + n + 9*d - 4*d**3 - 6*d**2 - d.
2*(d - 2)**2*(d + 1)**2
Let i(j) be the second derivative of -j**7/4200 - j**6/600 - j**5/300 + j**3/6 + 3*j. Let c(o) be the second derivative of i(o). Factor c(q).
-q*(q + 1)*(q + 2)/5
Let j be 8/(-20) + (-6)/(-15). Let f(c) be the third derivative of 0 - 1/6*c**3 - 1/120*c**5 - 2*c**2 + 1/16*c**4 + j*c. Find k such that f(k) = 0.
1, 2
Let x = 18 - 88/5. Factor 6/5 + x*p**2 - 8/5*p.
2*(p - 3)*(p - 1)/5
Let y = 8 - 6. Suppose y*j = -j. What is b in 2*b**5 + 6*b**3 + 4*b**2 + j*b - 6*b**2 + 0*b - 6*b**4 = 0?
0, 1
Let s(f) = -f**3 - 6*f**2 + 6*f - 9. Let g be s(-7). Let q be g/(-3)*(-42)/(-56). Factor -1/2*l**2 - 1/6*l + 0 - q*l**3 - 1/6*l**4.
-l*(l + 1)**3/6
Let t be (-45)/(-30)*(-10)/(-3). Factor -t*s**3 + 10*s**2 + 2*s**3 + 6 + 8*s**2 - 15*s - 6*s**2.
-3*(s - 2)*(s - 1)**2
Suppose -7*u = -6*u - 5. Let k(j) be the first derivative of 5/12*j**4 + 7/15*j**u - 5/6*j**2 + 2/3*j - j**3 - 1. Determine v so that k(v) = 0.
-1, 2/7, 1
Factor -3/4*w + 0 - 1/4*w**2.
-w*(w + 3)/4
Let w = 3 - 1. Let m = 7 + -5. Factor 0 + 5*y**m - w*y**2 + 0 - y - 3*y**3 + y**4.
y*(y - 1)**3
Let i(s) be the second derivative of -3*s**8/8960 + s**7/630 - s**6/576 - s**5/240 - s**4/2 - s. Let p(o) be the third derivative of i(o). Factor p(k).
-(k - 1)**2*(9*k + 2)/4
Let t = -209/2844 - -8/79. Let z(b) be the second derivative of 0 - 2*b + t*b**4 - 1/9*b**3 + 1/6*b**2. Find w such that z(w) = 0.
1
Let m(z) be the first derivative of -z**8/420 - 3*z**3 + 7. Let s(x) be the third derivative of m(x). Factor s(g).
-4*g**4
Let h(q) be the first derivative of -q + 1/16*q**4 + 0*q**2 - 1 + 1/12*q**3. Let b(g) be the first derivative of h(g). Determine x, given that b(x) = 0.
-2/3, 0
Let r be (-7)/56 + (-7)/(-8). Find u such that 1/4*u**3 + 3/4*u - r*u**2 - 1/4 = 0.
1
Suppose -8 = 30*z - 32*z. Let g(w) be the first derivative of 3/2*w**2 + 3*w**3 + 3/5*w**5 + 0*w - 4 + 9/4*w**z. Suppose g(k) = 0. Calculate k.
-1, 0
Let u(v) be the second derivative of 5*v**6/24 - 3*v**5/8 - 11*v**4/48 + v**3/2 + v**2/2 - 13*v. Factor u(m).
(m - 1)**2*(5*m + 2)**2/4
Let l be -3 + 4 + (4 - 25). Let k = l + 20. Factor 2/7*q**4 - 2/7*q**2 + k + 0*q**3 + 0*q.
2*q**2*(q - 1)*(q + 1)/7
Let j be ((-3)/4)/(90/(-16)). Let q(w) be the first derivative of 8/5*w + 4 - 4/5*w**2 + j*w**3. Factor q(s).
2*(s - 2)**2/5
Let h = -45 + 45. Let n(z) be the third derivative of 0*z - 1/36*z**4 + h + 1/18*z**3 + 2*z**2 + 1/180*z**5. What is r in n(r) = 0?
1
Find p, given that -1/2*p**3 + 1/6*p**4 - 1/6*p + 0 + 1/2*p**2 = 0.
0, 1
Let r(s) be the first derivative of -s**3/21 - s**2/7 + 8. Solve r(k) = 0.
-2, 0
Suppose -g - 3 = -5. Solve 4*s**2 + 3*s**2 - 4*s**g + 0*s**2 = 0.
0
Let c(n) = -n**3 + 8*n**2 - 6*n - 4. Let r be c(7). Solve 4*w + w**r + w + 5*w**2 - 3*w**5 - 5*w**4 - 3*w = 0.
-1, -2/3, 0, 1
Let 9*h**2 - 22*h + h**2 + 2*h - 5*h**2 = 0. What is h?
0, 4
Let z(b) be the first derivative of -b**5/30 + 2*b**4/9 - 5*b**3/9 + 2*b**2/3 - 6*b + 5. Let n(d) be the first derivative of z(d). Factor n(s).
-2*(s - 2)*(s - 1)**2/3
Let 1/2*u**3 + 0 - 1/2*u - u**4 + u**2 = 0. Calculate u.
-1, 0, 1/2, 1
Factor 0*u**3 + 0 + 1/6*u**4 + 0*u - 1/6*u**2.
u**2*(u - 1)*(u + 1)/6
Let v(p) be the third derivative of -p**5/180 + p**4/24 - p**3/9 - 2*p**2 + 15. Factor v(b).
-(b - 2)*(b - 1)/3
Let l(c) be the first derivative of 49*c**4/4 + 28*c**3/3 + 2*c**2 + 13. Determine z, given that l(z) = 0.
-2/7, 0
Factor -2 - p**2 - 2 + p - 6*p.
-(p + 1)*(p + 4)
Let j = 6/7 - 16/35. Solve -j*l**4 - 2/5*l**3 + 2/5*l**2 + 0 + 2/5*l = 0.
-1, 0, 1
Suppose 0 = 5*z - s - 20, -z + 18 = 2*s - 5*s. Suppose 0*v = z*v - 9. Determine l, given that -3*l**2 + 3*l**4 + 2*l**v + 6*l**5 + l**2 + 7*l**4 = 0.
-1, 0, 1/3
Let o(z) = 1 + z + 8*z**2 - 8*z**2 - z**5 - z**4 - z**3. Let i(s) = -5*s**5 - 6*s**4 - 5*s**3 + 4*s + 4. Let a(y) = -i(y) + 4*o(y). Factor a(c).
c**3*(c + 1)**2
Let 0 + 0*p + 1/4*p**3 + 1/8*p**2 - 3/8*p**4 = 0. What is p?
-1/3, 0, 1
Let d(x) be the second derivative of x**7/63 + 4*x**6/135 - x**5/90 - x**4/27 + 5*x. Factor d(u).
2*u**2*(u + 1)**2*(3*u - 2)/9
Determine a so that -19*a**2 - 4*a**4 - 5*a**4 - 6*a**2 + 35*a**3 + 5*a - 6*a**4 = 0.
0, 1/3, 1
Let p be ((-22)/(-6) + -3)*-9. Let x = -6 - p. Suppose x + 0*c**2 - 4 - c - 5*c - 2*c**2 = 0. Calculate c.
-2, -1
Let r(c) be the second derivative of -c**6/45 - c**5/30 + 5*c**4/18 - c**3/3 + 6*c. Factor r(n).
-2*n*(n - 1)**2*(n + 3)/3
Let x = 102 - 97. Let b(m) be the first derivative of 0*m - 1/2*m**2 - m**3 - 3/4*m**4 - 1/5*m**x + 2. Find t, given that b(t) = 0.
-1, 0
Suppose 6 = 2*u + 3*r - 6, 3*u = 5*r - 20. Suppose -6 = -3*w - u*w. Factor 2/3 - 1/3*o - 1/3*o**w.
-(o - 1)*(o + 2)/3
Suppose 2*h = 4*s, -3*s + 5*h = -2 + 16. Factor 0 + 2/5*f**s - 4/5*f.
2*f*(f - 2)/5
Let r(x) be the second derivative of -2*x**6/15 - x**5/5 + x**4/3 + 2*x**3/3 + 4*x + 5. Let r(l) = 0. Calculate l.
-1, 0, 1
Let t = -13 - -8. Let u be ((-1)/3)/(t/30). Factor 5*s**2 - 2*s**4 - s**2 - 2*s**u.
-2*s**2*(s - 1)*(s + 1)
Let i(u) be the second derivative of -u**5/190 - 2*u**4/57 - u**3/19 - 17*u. Factor i(g).
-2*g*(g + 1)*(g + 3)/19
Let q be (-132)/(-36) + 3*-1. Factor -v**3 - q*v**2 + 2/3 + v.
-(v - 1)*(v + 1)*(3*v + 2)/3
Let y(b) be the first derivative of b**4/18 + 2*b**3/9 + b**2/3 + 7*b + 8. Let v(q) be the first derivative of y(q). Let v(r) = 0. Calculate r.
-1
Let n(h) be the first derivative of h**3/5 - 3*h/5 - 7. Factor n(d).
3*(d - 1)*(d + 1)/5
Solve c**4 - 6*c**3 + 1 - c - 6*c**3 + 14*c**3 - 2*c**2 - c**5 = 0.
-1, 1
Let v(f) be the second derivative of -8*f - 1/6*f**3 - 1/24*f**4 + 0 - 1/4*f**2. What is t in v(t) = 0?
-1
Factor -4/3*f + 4/3*f**2 + 0.
4*f*(f - 1)/3
Let o(n) be the second derivative of -n**6/6 + n**5/4 + 5*n**4/6 - 4*n. Suppose o(y) = 0. Calculate y.
-1, 0, 2
Let p be (57/(-21) - -3)*(-2)/(-4). Let m(v) be the first derivative of -p*v**2 + 2/21*v**3 + 0*v - 3. Find s such that m(s) = 0.
0, 1
Let f(y) = -6*y**3 + 7*y**2 - 13*y - 13. Let d(g) = g**3 - g**2 + 2*g + 2. Let n(s) = 39*d(s) + 6*f(s). Factor n(i).
3*i**2*(i + 1)
Suppose 23 - 6 = -2*l + 5*b, -4*l - 4*b + 36 = 0. Factor h**2 - l + 3 + 31*h - 31*h.
(h - 1)*(h + 1)
Let s(w) be the third derivative of -w**6/840 - w**5/420 + w**4/84 - 51*w**2. Factor s(i).
-i*(i - 1)*(i + 2)/7
Let m be -1 + 7 + 3*-1. Let z(n) be the third derivative of -1/60*n**5 + 0*n - n**2 - 1/6*n**m + 0 - 1/12*n**4. Let z(s) = 0. Calculate s.
-1
Let n = 45 - 45. Suppose n*z**3 - 1/5*z**2 + 1/5*z**4 + 0*z + 0 = 0. What is z?
-1, 0, 1
Let z(f) be the second derivative of 3*f**5/5 + 22*f**4/3 + 10*f**3/3 - 28*f**2 - f. Solve z(a) = 0.
-7, -1, 2/3
Let z be (-1 - 0) + 231/275. Let v = 56/275 - z. Let -4/11 - 2/11*i + 2/11*i**3 + v*i**2 = 0. Calculate i.
-2, -1, 1
Factor -13 + 12 - 5*s**2 - 4 + 10*s.
-5*(s - 1)**2
Let x be (2 + 26*4/(-48))/(-20). Let q(s) be the third derivative of -1/420*s**7 + 0*s**3 + x*s**5 - 1/24*s**4 + 1/120*s**6 + 0*s + 4*s**2 + 0. Factor q(f).
-f*(f - 2)*(f - 1)*(f + 1)/2
Let r(j) be the first derivative of 3*j**4/4 - 2*j**3 - 6*j**2 + 24*j + 31. Factor r(f).
3*(f - 2)**2*(f + 2)
Let z(u) = -5*u**2 + 6*u - 6. Let o(j) = j**2 - j + 1. Let g(w) = 6*o(w) + z(w). Suppose g(v) = 0. Calculate v.
0
Suppose 0 = -467*t + 466*t + 2. Determine q so that -13/4*q**4 + q**t - 5/4*q**5 + 0 + 0*q - q**3 = 0.
-2, -1, 0, 2/5
Let i be -4*(-2 - 6/(-4)). Let c(j) be the third derivative of 0 + 1/210*j**7 + 0*j**4 + 0*j - i*j**2 + 0*j**3 + 0*j**5 + 1/120*j**6. Factor c(x).
x**3*(x + 1)
Let b(i) be the second derivative of -5*i**7/56 + 13*i**6/12 - i**5 - 37*i. Factor b(c).
-5*c**3*(c - 8)*(3*c - 2)/4
Let z = -11 - -9. Let v be 4/z*4/(-36). Let -2/9*d**5 + 4/9*d**3 - 2/9 - 2/9*d - v*d**4 + 4/9*d**2 = 0. Calculate d.
-1, 1
Suppose 3*g = -2*m - 11, m + 4 = -2*g - 2*m. Let b be (-5 - -3) + (-1 - g). Find w such that -16/3 - 4*w**b + 2/3*w**3 + 8*w = 0.
2
Let y(t) be the first derivative of -2*t**3/9 + 2*t/3 + 6. Factor y(m).
-2*(m - 1)*(m + 1)/3
Let r(b) be the first derivative of -1/12*b**4 - 2 - 1/3*b**3 + 2*b - 1/2*b**2. Let x(l) be the first derivative of r(l). Factor x(n).
-(n + 1)**2
Suppose -5*k = -3*g + 2, -2*g = 4*k - 7*g + 12. Let x(z) be the third derivative of 0*z**3 + 1/300*z**5 + 1/120*z**4 + 0 + 0*z - z**k. Factor x(c).
c*(c +