
-4*f**2/7
Let i(h) be the third derivative of 1/660*h**6 - 1/44*h**4 + 0*h - 2/33*h**3 + 0*h**5 - 4*h**2 + 0. Find u, given that i(u) = 0.
-1, 2
Let y be (3 - 0)*-1 + 8. Suppose -y*p + 8 = -2. Find u, given that -7/3*u**3 - u - 4*u**p + 2/3 = 0.
-1, 2/7
Let d be (1 + 4)/((-3)/(-3)). Let x be (2 - 4) + 11/d. Find i, given that 0*i - x*i**3 + 0 + 0*i**2 = 0.
0
Let b(m) = m**3 + 71*m**2 - 210*m - 301. Let l(y) = -24*y**2 + 70*y + 100. Let f(q) = 2*b(q) + 7*l(q). Suppose f(w) = 0. What is w?
-1, 7
Let t(r) = -r**2 + 6*r + 10. Let a be t(7). Find u such that -26*u**2 - 4*u**3 - u**4 + 25*u**2 + 6*u**a = 0.
0, 1
Let k(h) be the first derivative of h**5/60 - h**3/6 - 3*h**2/2 + 3. Let w(t) be the second derivative of k(t). Find n, given that w(n) = 0.
-1, 1
Let b(g) be the first derivative of -g**8/448 + g**6/80 - g**4/32 - 5*g**2/2 - 3. Let l(d) be the second derivative of b(d). Factor l(o).
-3*o*(o - 1)**2*(o + 1)**2/4
Let r(o) be the first derivative of 6/35*o**5 - 4/21*o**3 - 2/7*o + 1/21*o**6 + 1/7*o**4 - 3/7*o**2 + 2. Suppose r(l) = 0. Calculate l.
-1, 1
Let t(l) be the first derivative of 1/240*l**5 - l**2 + 0*l**4 + 0*l**3 + 0*l - 1. Let k(b) be the second derivative of t(b). Solve k(m) = 0.
0
Suppose -4*u = -3*x + 6, 0 = 4*u - 2*x + 9 - 5. Suppose 0 + u*m**2 + 2/7*m**3 + 0*m = 0. Calculate m.
0
Let m(s) be the first derivative of 4 - 6*s**2 + 9/4*s**4 - 12*s + 5*s**3. Solve m(c) = 0 for c.
-2, -2/3, 1
Let s(j) be the first derivative of j**6/1260 + j**5/210 + j**3 + 2. Let p(b) be the third derivative of s(b). Let p(m) = 0. Calculate m.
-2, 0
Suppose 4*v + 0*v = 16. Find w, given that 2*w - w + w**2 - w - w**v = 0.
-1, 0, 1
Let g(v) = -3 + 4*v + 6*v**2 - 9*v**2 - 1. Let z(x) = 2*x**2 - 3*x + 3. Let c(l) = -3*g(l) - 4*z(l). Factor c(b).
b**2
Let d = 59 - 293/5. Factor 8/5*m**3 + 8/5*m - 12/5*m**2 - d - 2/5*m**4.
-2*(m - 1)**4/5
Let d(t) be the third derivative of 1/15*t**6 - t**2 + 0*t + 1/105*t**7 + 0 + 1/5*t**5 + 1/3*t**4 + 1/3*t**3. Factor d(v).
2*(v + 1)**4
Suppose 2*f - 2*b - 16 = 0, 4 - 18 = -3*f + b. Let t = f + -1. Factor -9*c + 12 - 4*c**2 - 9 - 8*c**t.
-3*(c + 1)*(4*c - 1)
Let t(r) be the second derivative of -r**6/360 - r**5/120 - r**3/6 - 2*r. Let k(l) be the second derivative of t(l). Find g such that k(g) = 0.
-1, 0
Let r be (-2 + 1 + 1)*1. Suppose r = -5*c - 5*o - 7 + 2, 10 = -2*c - 4*o. Find m such that m - m**2 + 6*m**c - 4*m**4 - 3*m**2 + 3*m**5 - 2*m**5 = 0.
0, 1
Let v(j) = -j**4 + j**3 - 1. Let o(r) = r + 2*r - 4*r - r - 8*r**3 - 6*r**2 + 2. Let s(d) = -o(d) - 2*v(d). Factor s(y).
2*y*(y + 1)**3
Let o(c) be the third derivative of 2*c**7/105 + c**6/30 - c**5/3 + c**4/2 - 3*c**2. Solve o(q) = 0.
-3, 0, 1
Let c(h) be the second derivative of -1/6*h**4 - h - 1/15*h**6 - 1/5*h**5 + 0*h**3 + 0*h**2 + 0. What is j in c(j) = 0?
-1, 0
Suppose 10 = 2*o + 4. Let v be 1 - (-1 - (-6)/o). Factor 2/3 - 2/3*b**2 + v*b.
-2*(b - 1)*(b + 1)/3
Let v = 34 + -135/4. Let d = -3 - -6. Let 0*c + 0 + v*c**d + 1/4*c**2 = 0. Calculate c.
-1, 0
Let c(n) be the first derivative of 2/21*n**3 - 6/35*n**5 + 0*n + 0*n**2 - 1/7*n**4 + 1. Let c(a) = 0. What is a?
-1, 0, 1/3
Suppose 0 = 2*u + 2*u - 12. Let h be (3 + u + -6)/(-1). Determine s, given that 1/3*s + h + 2/3*s**2 + 1/3*s**3 = 0.
-1, 0
Let v(u) = 2*u**2 - 2*u + 3. Let q(h) = -h**2 + h - 1. Let o(d) = 3*q(d) + v(d). What is c in o(c) = 0?
0, 1
Suppose -s + t = -2*t - 11, -3*t = 9. Let -1/3*j - 7/6*j**s + 0 - 1/2*j**3 = 0. What is j?
-2, -1/3, 0
Let z(f) be the first derivative of -3*f**5/5 - 3*f**4 - 4*f**3 + 11. Let z(w) = 0. Calculate w.
-2, 0
Let w(q) be the second derivative of q**8/11200 - q**7/2100 + 2*q**4/3 - q. Let h(l) be the third derivative of w(l). Solve h(s) = 0 for s.
0, 2
Let i(z) be the third derivative of z**8/168 + z**7/105 - 3*z**2. What is t in i(t) = 0?
-1, 0
Let q = 10 - 5. Let a(v) be the first derivative of 2/5*v**q + v**4 + 2/3*v**3 + 2 + 0*v + 0*v**2. Factor a(f).
2*f**2*(f + 1)**2
Let g(w) = 5*w**5 + 12*w**4 + 15*w**3 - 3*w - 3. Let v(t) = t**5 - t**3 - t - 1. Let c(i) = g(i) - 3*v(i). Factor c(j).
2*j**3*(j + 3)**2
Suppose -3*s + 5/3*s**3 - 1/3*s**4 - s**2 + 0 = 0. Calculate s.
-1, 0, 3
Suppose 3 = -2*f + 7. Factor -3*i + 3*i**5 + 2*i**4 - 5*i**5 + 4*i**3 + f + i - 4*i**2.
-2*(i - 1)**3*(i + 1)**2
Let h = 34 - 32. Factor h*r**2 + 4/7 + 18/7*r.
2*(r + 1)*(7*r + 2)/7
Let f(a) = 5*a**4 - 13*a**3 + 2*a**2 + 3*a. Let i(x) = 5*x**4 - 12*x**3 + 3*x**2 + 2*x. Let r(j) = 2*f(j) - 3*i(j). Factor r(y).
-5*y**2*(y - 1)**2
Let q(j) = 2*j**2 + 3*j + 3. Let t be q(-2). Let a(o) be the third derivative of -o**2 + 1/12*o**4 + 0 + 0*o + 7/150*o**t - 2/15*o**3. Factor a(x).
2*(x + 1)*(7*x - 2)/5
Let f be (-6 - (-110)/18)/(1/2). Suppose 2/9*j**3 + 2/9*j**2 + 0 - f*j**5 - 2/9*j**4 + 0*j = 0. Calculate j.
-1, 0, 1
Suppose -2*d + 5*u = 18, -d - 15 = u - 5*u. Let z = d + 4. Let -2*y**3 - y**5 - 4*y**5 + 7*y**4 - y**z = 0. Calculate y.
0, 1/2, 2/3
Let m(h) = -h**3 + h**2 - 2*h + 5. Let g be m(0). Factor -4*x**2 + 8*x**4 + 5*x - 4*x**2 - x**5 - x - 3*x**g.
-4*x*(x - 1)**3*(x + 1)
Let u(t) = -4*t**5 - t**4 + t**3 + t**2. Let m(h) = 11*h**5 + 3*h**4 - 4*h**3 - 4*h**2. Let r(j) = -3*m(j) - 8*u(j). Factor r(q).
-q**2*(q - 2)*(q + 1)*(q + 2)
Suppose -t - 9 = -2*w, 6*w - 3*w = -3*t - 9. Let h be (-3)/(-1) + (w - 0). Suppose 0*o**4 + 2/7*o**h + 0 - 2/7*o**3 + 0*o + 0*o**2 = 0. What is o?
-1, 0, 1
Factor -15/7*l - 12/7 - 3/7*l**2.
-3*(l + 1)*(l + 4)/7
Let m be 8/10*(-270)/4. Let q be ((-2)/(-4))/((-9)/m). Factor -5*x**5 + x**3 - 2*x**2 - 4*x**3 + q*x**4 + 8*x**5 - x**2.
3*x**2*(x - 1)*(x + 1)**2
Let o(p) be the first derivative of p**6/18 - 2*p**5/5 + 13*p**4/12 - 4*p**3/3 + 2*p**2/3 + 26. Solve o(j) = 0 for j.
0, 1, 2
Suppose -10/7*r + 12/7 - 2/7*r**2 = 0. What is r?
-6, 1
Let z(g) be the second derivative of 7*g**7/120 + 21*g**6/80 + g**5/4 + g**4/12 + 3*g**2/2 - 5*g. Let w(h) be the first derivative of z(h). Factor w(y).
y*(y + 2)*(7*y + 2)**2/4
Let b be 220/12 + 2/(-6). Let 6*t - 28*t**2 - b*t + 8 - 8*t = 0. What is t?
-1, 2/7
Let a(f) = f**2 + 7*f - 14. Let i be a(-9). Factor -12/7*p**2 - 2/7 - 2/7*p**i + 8/7*p + 8/7*p**3.
-2*(p - 1)**4/7
Suppose 0*t + 2*t = -2*d - 10, 3*d + 15 = 4*t. Let h(f) be the third derivative of -1/60*f**6 + 0*f**5 + t*f + 0*f**4 + 0 - 2*f**2 + 0*f**3. Factor h(w).
-2*w**3
Let l be (-4)/14 - (5 - 576/56). Solve 2/5*j**2 + 2/5*j**3 + 1/5*j**l + 1/5 - 3/5*j**4 - 3/5*j = 0 for j.
-1, 1
Let d(l) be the first derivative of 4*l**3/3 + 4*l**2 + 4. What is j in d(j) = 0?
-2, 0
Let g = -34 + 40. What is r in -4/3 - 6*r - 10/3*r**2 + 14/3*r**4 + g*r**3 = 0?
-1, -2/7, 1
Let h(f) be the second derivative of -1/14*f**4 - 3*f - 1/70*f**5 + 0 - 1/7*f**2 - 1/7*f**3. Determine w, given that h(w) = 0.
-1
Let f(q) be the second derivative of q**7/210 + 2*q**6/75 + q**5/25 + 10*q. Factor f(i).
i**3*(i + 2)**2/5
Let x(j) = 3*j**2 - 5*j + 4. Let t(y) = 4*y**2 - 6*y + 5. Let u(d) = 4*t(d) - 5*x(d). What is k in u(k) = 0?
-1, 0
Let s(z) be the second derivative of -3*z**6/50 + 7*z**5/100 + z**4/30 - 2*z - 1. Factor s(p).
-p**2*(p - 1)*(9*p + 2)/5
Let c be ((14 - 8)/3)/((-4)/(-6)). Factor 0 + 0*y - 1/7*y**2 - 3/7*y**4 + 3/7*y**c + 1/7*y**5.
y**2*(y - 1)**3/7
Suppose -x + 13 = 3*f, 5*f - 4*f + 4*x - 19 = 0. Let q(j) be the first derivative of 0*j**2 - 2/15*j**5 + 0*j + 2/9*j**f - 1 + 0*j**4. Solve q(m) = 0.
-1, 0, 1
Let s(j) be the second derivative of -j**4/12 - j**3/2 - j**2 + 7*j. Factor s(n).
-(n + 1)*(n + 2)
Let g(k) = -11*k**4 - 10*k**3 + 15*k**2 + 34*k + 14. Let z(y) = 65*y**4 + 60*y**3 - 90*y**2 - 205*y - 85. Let c(l) = 35*g(l) + 6*z(l). Factor c(q).
5*(q - 2)*(q + 1)**2*(q + 2)
Let f(u) be the second derivative of -u**4/78 + u**2/13 + 8*u. Suppose f(p) = 0. Calculate p.
-1, 1
Let g = -479/4 + 120. Suppose 1/4*t**4 - g*t**2 + 0 + 0*t + 0*t**3 = 0. Calculate t.
-1, 0, 1
Let m(s) be the second derivative of 0*s**2 + 0*s**3 + 0 + 2*s - 1/48*s**4. Find d, given that m(d) = 0.
0
Let k(l) = -l**4 - l + 1. Suppose -z + 6 = -16. Let u(w) = 10*w**4 + 2*w**2 + 11*w - 12. Let y(r) = z*k(r) + 2*u(r). Factor y(j).
-2*(j - 1)**2*(j + 1)**2
Let g = -4846/3 + 1577. Let k = -38 - g. Let 1/3*y**4 + k*y**3 + 0 + 0*y**2 + 0*y = 0. Calculate y.
-1, 0
Let j = -1 - -3. Suppose 4*m - 4*f = -12, j*m - 5*f + 15 