 - 3*x + 1/6*x**4 - 1/10*x**5 - x**2. Suppose u(g) = 0. What is g?
-1, 1
Suppose -2*p - 4 = -4*p. Let 24*m + 34*m**2 - 19*m**p + 12 - 3*m**3 + 6*m**3 = 0. Calculate m.
-2, -1
Let f(l) = -5*l**4 + 16*l**3 - 23*l**2 + 18*l - 6. Let v(k) = k**4 - k**3 - k + 1. Let p(i) = -f(i) - 2*v(i). Suppose p(z) = 0. Calculate z.
2/3, 1, 2
Find q, given that -3/8*q**5 + 3/8 - 3/4*q**3 - 9/8*q**4 + 3/4*q**2 + 9/8*q = 0.
-1, 1
Let d(y) be the first derivative of 3/4*y**4 + 0*y**2 - 3*y**3 + 0*y + 5. Factor d(g).
3*g**2*(g - 3)
Let n = 1 - 1. Let b = -148 + 445/3. Factor -1/3*k**2 + n - b*k.
-k*(k + 1)/3
Let a(n) = n**2 + n. Let g(m) = 2*m**2 + m**2 + 7*m**2 + 2 + 12*m. Let u(r) = 8*a(r) - g(r). Let u(j) = 0. Calculate j.
-1
Let j(p) = -28*p + 4. Let f(x) = x**2 - 55*x + 7. Let w(c) = -4*f(c) + 7*j(c). Factor w(n).
-4*n*(n - 6)
Let o(c) be the second derivative of -9*c**5/40 - 5*c**4/6 - 13*c**3/12 - c**2/2 + c. Let o(u) = 0. Calculate u.
-1, -2/9
Let w(v) be the first derivative of -v**6/30 + v**5/20 + v**4/6 + v + 6. Let x(m) be the first derivative of w(m). Suppose x(r) = 0. Calculate r.
-1, 0, 2
Let y(k) = k**2 + 5*k - 12. Let p be y(-8). Let i(q) be the first derivative of -p*q**2 + 3 + 8*q + 10/3*q**3. Factor i(t).
2*(t - 2)*(5*t - 2)
Let d(j) = j - 4. Let s be d(5). Let h be (-4 - -2)/(0 - s). Solve 0*r**h + 2 - 4*r + 3*r**2 - r**2 = 0 for r.
1
Let o = 21 - 14. Let j(x) be the third derivative of 0 - 1/504*x**8 + 0*x + 1/90*x**6 + 0*x**o - 2*x**2 - 1/36*x**4 + 0*x**5 + 0*x**3. Factor j(r).
-2*r*(r - 1)**2*(r + 1)**2/3
Let k(z) be the second derivative of -z**6/180 - z**5/60 + z**4/72 + z**3/18 + 8*z. Let k(a) = 0. What is a?
-2, -1, 0, 1
Suppose -9 - 11 = -4*l. Let t(c) be the third derivative of -1/48*c**4 + 0 - 1/120*c**l + 0*c**3 - c**2 + 0*c. Factor t(o).
-o*(o + 1)/2
Let s(o) be the first derivative of 5*o**4/16 - 5*o**3/4 - 5*o**2/2 - 7. Find d, given that s(d) = 0.
-1, 0, 4
Let f(x) be the first derivative of -x**4/6 - x**3/6 + x**2/2 + 3*x + 4. Let i(h) be the first derivative of f(h). Let i(a) = 0. What is a?
-1, 1/2
Let l(i) be the second derivative of -i**7/840 - i**6/80 - i**5/20 + i**4/6 - 2*i. Let m(q) be the third derivative of l(q). Suppose m(z) = 0. What is z?
-2, -1
Let s(f) be the third derivative of -f**7/11340 - f**4/6 - f**2. Let n(w) be the second derivative of s(w). Factor n(c).
-2*c**2/9
Let o = 312 - 934/3. Let o*z + 4/3 - 2/3*z**2 = 0. Calculate z.
-1, 2
Let n be 104/(-26)*(1 - 3)/12. Let 1/3*y**4 + 1/3 - n*y**2 + 0*y**3 + 0*y = 0. What is y?
-1, 1
Find t such that 4 - 15*t + 7/2*t**2 = 0.
2/7, 4
Let 2/11*h**3 - 4/11*h + 0 + 2/11*h**2 = 0. What is h?
-2, 0, 1
Determine v so that 8/13*v + 0 + 2/13*v**3 + 8/13*v**2 = 0.
-2, 0
Let c(b) be the first derivative of 0*b + 1/2*b**2 + 0*b**3 - 3 - 1/2*b**4 + 1/6*b**6 + 0*b**5. Factor c(h).
h*(h - 1)**2*(h + 1)**2
Let x = -556 + 1115/2. Factor x*j + 3/2 + 3/8*j**2.
3*(j + 2)**2/8
Let p(x) be the third derivative of x**6/600 - x**5/100 + x**4/40 + 2*x**3/3 - 8*x**2. Let l(j) be the first derivative of p(j). Solve l(a) = 0.
1
Let m(q) be the second derivative of -q**9/15120 + q**8/3360 - q**4/6 + 5*q. Let b(t) be the third derivative of m(t). Factor b(k).
-k**3*(k - 2)
Let a(n) be the second derivative of 2*n**6/75 + n**5/25 - n**4/20 - n**3/15 + n**2/10 + 15*n. Factor a(r).
(r + 1)**2*(2*r - 1)**2/5
Let z(w) be the third derivative of w**8/40320 - w**7/2520 + w**6/360 - w**5/30 + 2*w**2. Let u(a) be the third derivative of z(a). Solve u(i) = 0 for i.
2
Let n(r) be the first derivative of -3/10*r**2 + 0*r - 2 + 0*r**3 + 3/20*r**4. Factor n(o).
3*o*(o - 1)*(o + 1)/5
Let v(r) be the first derivative of -r**3/3 - r**2/2 + 3. Find f such that v(f) = 0.
-1, 0
Let m(v) be the third derivative of v**6/600 + v**5/300 - v**4/120 - v**3/30 - 6*v**2. Suppose m(u) = 0. What is u?
-1, 1
Let t = -29/15 - -13/5. Let l(b) be the first derivative of -t*b**2 + 2 + 2/3*b + 2/9*b**3. Suppose l(u) = 0. Calculate u.
1
Let i(u) be the second derivative of u**5/60 - u**4/12 + u**3/6 + 5*u**2/2 + 4*u. Let n(s) be the first derivative of i(s). Let n(c) = 0. Calculate c.
1
Let g be (-4)/(-14)*252/108. Solve 0*r - g*r**4 + 0*r**2 - 2/3*r**3 + 0 = 0.
-1, 0
Let k = 4 - 4. Suppose -3*d + 2*d + 4 = k. Find s, given that 2/7*s**3 + 0*s**2 + 0*s + 0 + 4/7*s**d + 2/7*s**5 = 0.
-1, 0
Suppose -5*w = 8*w - 26. Solve -4/7*m**w + 4/7*m**4 - 4/7*m + 4/7*m**3 + 0 = 0.
-1, 0, 1
Let o(s) be the first derivative of -4*s**5/5 + 4*s**4 - 16*s**3/3 - 6. Factor o(c).
-4*c**2*(c - 2)**2
Let y(o) be the third derivative of -o**8/10080 + o**7/3780 - o**4/8 + 3*o**2. Let d(c) be the second derivative of y(c). Factor d(v).
-2*v**2*(v - 1)/3
Let t(k) be the third derivative of 1/60*k**6 - 1/12*k**4 + 0*k - 1/40*k**5 + 1/3*k**3 - 1/420*k**7 + 0 - 3*k**2. Find d, given that t(d) = 0.
-1, 1, 2
Let l(v) = -v**3 - v**2 - v - 1. Let t(c) = -4*c**3 - 2*c**2 - 2. Let h be ((-2)/3)/((-1)/(-3)). Let d(g) = h*l(g) + t(g). Factor d(n).
-2*n*(n - 1)*(n + 1)
Let r(b) be the first derivative of -b**5/210 + b**4/21 - 4*b**3/21 - 3*b**2/2 + 2. Let i(z) be the second derivative of r(z). Factor i(m).
-2*(m - 2)**2/7
Let m(t) be the third derivative of t**8/336 + 3*t**7/70 + 9*t**6/40 + 9*t**5/20 + 39*t**2. Factor m(c).
c**2*(c + 3)**3
Let v = -19 + 29. Suppose -2*f - v = -7*f. Suppose -j**f - 5*j**2 + 0*j**2 - 3*j**3 - 3*j = 0. Calculate j.
-1, 0
Suppose -5*c - 10 = -5*k, 2*c + k - 1 = 2*k. Let y be 1*1/(c/12). Suppose 0*z**5 + y*z**5 + 2*z**4 - 6*z**5 + z**5 = 0. What is z?
0, 2
Let f(m) be the third derivative of 0 + 0*m + 1/672*m**8 + 0*m**4 + 4*m**2 + 1/140*m**7 + 1/120*m**5 + 0*m**3 + 1/80*m**6. Let f(g) = 0. Calculate g.
-1, 0
Let m(n) be the second derivative of 3/2*n**2 - 2*n**3 + 0 - n + 3/2*n**4 - 3/5*n**5 + 1/10*n**6. Factor m(t).
3*(t - 1)**4
Let t(c) be the second derivative of -c**5/210 + c**4/42 + c**2 - 3*c. Let k(a) be the first derivative of t(a). Solve k(y) = 0 for y.
0, 2
Determine j, given that 0*j**2 - 2/9*j**3 - 2/9*j**5 + 4/9*j**4 + 0*j + 0 = 0.
0, 1
Let m(x) = -x**3 + 6*x**2 - 5*x + 3. Let f be m(5). Suppose 5*h - 5 = 2*d + 9, d + f*h - 15 = 0. Factor -k**d + k - 1/4 + 1/4*k**2.
-(k - 1)*(k + 1)*(4*k - 1)/4
Let k(s) = -3*s - 4. Let a = 23 + -25. Let m be k(a). Determine w so that m*w**2 + 6*w + 9/2 = 0.
-3/2
Let h(b) be the first derivative of 0*b**2 - 1 - 2/15*b**3 + 2/5*b. Let h(p) = 0. Calculate p.
-1, 1
Factor -2/11*d**4 + 0 + 2/11*d - 2/11*d**3 + 2/11*d**2.
-2*d*(d - 1)*(d + 1)**2/11
Find m such that -40*m**3 - 27*m**3 - 14*m**3 - 4*m**3 + 105*m**2 + 45*m + 15*m**4 = 0.
-1/3, 0, 3
Let d(y) be the third derivative of -y**7/525 - y**6/20 - 14*y**5/25 - 52*y**4/15 - 64*y**3/5 - 26*y**2. Determine o so that d(o) = 0.
-4, -3
Let p be 2/(2 - 15/10). Suppose -8/7*h - 8/7*h**3 + 2/7*h**p + 2/7 + 12/7*h**2 = 0. What is h?
1
Factor -3/5*h**3 - 2/5*h**2 + 2/5 + 3/5*h.
-(h - 1)*(h + 1)*(3*h + 2)/5
Let b be (-1)/3*0 + (0 - -2). Suppose -26 = -5*f - 2*l, -4*f + 9*f - 3*l - 11 = 0. Suppose b*c**2 - f - 3*c**3 - 2*c**4 + 2*c + c**3 + 4 = 0. Calculate c.
-1, 0, 1
Suppose 2 = 5*a + 4*i, 0*i + 4 = -a - 3*i. Let x be ((-9)/6 + a)*0. Factor x*v**2 - 1/4*v + 1/2*v**3 + 0 + 0*v**4 - 1/4*v**5.
-v*(v - 1)**2*(v + 1)**2/4
Let j(r) = -r + 10. Let x(b) = b**2 - 5*b + 7. Let d be x(5). Let n be j(d). Determine f, given that 4*f**4 - 1 + 2*f**5 - 4*f**2 + 1 - 2*f**n = 0.
-2, -1, 0, 1
Let q(k) be the second derivative of -k**6/40 - k**5/50 + k**2 - 2*k. Let r(o) be the first derivative of q(o). Factor r(i).
-3*i**2*(5*i + 2)/5
Let a(f) = -f**2 + 3*f - 2. Let w be a(2). Suppose 10 = -2*s + 7*s. What is o in w*o + 1/2*o**s + 1/2*o**3 + 0 = 0?
-1, 0
Let o be 30/(6/2) - 2. Factor 11 + 0*b + o*b - 3 + 2*b**2.
2*(b + 2)**2
Let b(u) be the third derivative of u**6/1080 + u**5/120 + u**4/36 + u**3/2 + 4*u**2. Let d(w) be the first derivative of b(w). Factor d(o).
(o + 1)*(o + 2)/3
Let d = -27 + 30. Let u(j) be the second derivative of -j - 1/6*j**4 + 0 + j**2 + 0*j**d. Factor u(f).
-2*(f - 1)*(f + 1)
Let k(g) = g**2 + 6*g - 7. Let i be k(-7). Let w(v) be the second derivative of i*v**2 - 1/4*v**4 - 9/20*v**5 + 0 - 3*v + v**3. Suppose w(n) = 0. What is n?
-1, 0, 2/3
Let g(y) = -5*y**2 + 8*y - 9. Let z(d) = -4*d**2 + 8*d - 8. Let n(r) = 4*g(r) - 6*z(r). Factor n(c).
4*