*2 + 1/3*s**p. Solve u(l) = 0 for l.
0, 1
Suppose -i = -1 - 0. Let x(g) = -g**5 + 3*g**4 - 3*g**3 + g**2 + 4*g + 4. Let u(m) = m + 1. Let f(s) = i*x(s) - 4*u(s). Factor f(y).
-y**2*(y - 1)**3
Let w = 1 - -1. Let h(r) be the third derivative of r**w + 0*r + 0*r**3 + 0*r**4 - 1/210*r**7 + 1/60*r**5 + 0 + 0*r**6. Factor h(q).
-q**2*(q - 1)*(q + 1)
Let w(t) = 2*t**4 - 20*t**3 - 14*t**2 - 8*t. Let s(u) = -u**4 + 7*u**3 + 5*u**2 + 3*u. Suppose -4*g = -0*g - 12. Let d(q) = g*w(q) + 8*s(q). Solve d(b) = 0.
-1, 0
Let s(b) be the second derivative of 0 + 1/36*b**4 - 4*b + 1/18*b**3 + 0*b**2 - 1/90*b**6 - 1/60*b**5. Factor s(x).
-x*(x - 1)*(x + 1)**2/3
Let a = 4 - 2. Factor 3*f**2 - 4*f**2 + f**4 - f**3 + f**a.
f**3*(f - 1)
Suppose 42*k - 3 = -3. Factor k*v**3 + v**2 - 4/3*v - 1/6*v**4 + 1/2.
-(v - 1)**3*(v + 3)/6
Suppose l + 4*m + 2 = 2*m, 3*m + 3 = 3*l. Factor 11*o**3 + l + 8*o - 12*o**2 - 2*o**4 - 6 - 3*o**3 + 4.
-2*(o - 1)**4
Let g(r) = -36*r**4 + 27*r**3 + 26*r**2 - 17. Let f(w) = -12*w**4 + 9*w**3 + 9*w**2 - 6. Let m = 13 + -7. Let t(x) = m*g(x) - 17*f(x). Let t(y) = 0. What is y?
-1/4, 0, 1
Let 17*j + 1/2*j**2 + 289/2 = 0. What is j?
-17
Let i be (-2)/(-8) - 6/(-8). Let l = i - -1. Determine t so that -2*t - l*t**2 + 4 + 0 - 2 + 2*t**3 = 0.
-1, 1
Let n(g) = -g + 17. Let w be n(11). Suppose 2*c + 3*c**5 + 3*c**4 - 5*c + 0*c**4 + w*c**2 - 9*c**4 = 0. Calculate c.
-1, 0, 1
Let k(z) = -17*z**2 - 3*z + 4. Let l be k(-3). Let m be (42/l)/((-12)/10). Factor 0 - m*q**2 - 1/4*q.
-q*(q + 1)/4
Suppose -z = o - 80, o + 200 = 3*z - 4*o. Let f be (-20)/z - 6/(-9). Factor -f*u**2 + 0 + 2/5*u**3 + 0*u.
2*u**2*(u - 1)/5
Let k(v) be the third derivative of -1/360*v**6 - 1/72*v**4 + 0 + 0*v + 0*v**3 + 1/90*v**5 + 3*v**2. Find p, given that k(p) = 0.
0, 1
Let h be 9 - (3 + 11 + -7). Find l, given that 36/5*l**h + 3*l**3 + 12/5*l + 0 = 0.
-2, -2/5, 0
Let i(f) be the first derivative of -f**5/5 + f**4/2 + f**3 + 27. Find v such that i(v) = 0.
-1, 0, 3
Let h(n) = -n**3 + 9*n**2 + 2*n - 16. Let w be h(9). Find b such that 4*b**2 - w*b**2 + b**2 = 0.
0
Let z(c) be the second derivative of 5*c**4/36 - 5*c**3/6 - 13*c. Suppose z(i) = 0. Calculate i.
0, 3
Let w(z) be the first derivative of -3/5*z**5 + 0*z - z**3 - 5 + 0*z**2 - 3/2*z**4. Solve w(h) = 0.
-1, 0
Solve 0 + 2/3*o**2 - 2/3*o = 0 for o.
0, 1
Suppose 2*l = -2*l + 20. Let v(t) be the first derivative of -8*t + 61/2*t**4 + 42*t**3 - 518/5*t**l + 1 + 49*t**6 - 8*t**2. Suppose v(n) = 0. What is n?
-2/7, 1/3, 1
Let u be -3 + 3 + (-263)/(-63). Let m = u - 35/9. Solve -m*l**2 + 2/7*l**3 + 0 + 2/7*l**4 - 2/7*l = 0.
-1, 0, 1
Suppose 16 = -5*p + 41. Let -4/3*r**2 + 0 + 2/3*r - 2/3*r**p + 0*r**3 + 4/3*r**4 = 0. What is r?
-1, 0, 1
Let k(c) be the second derivative of c**10/136080 - c**9/68040 - c**4/4 - 6*c. Let d(i) be the third derivative of k(i). Factor d(z).
2*z**4*(z - 1)/9
Let z(i) be the third derivative of i**7/840 + i**6/80 + 11*i**5/240 + i**4/16 + 4*i**2. Let z(l) = 0. Calculate l.
-3, -2, -1, 0
Suppose 0 = 3*q - 3, 6*q - q - 1 = 2*z. Factor 0*y + y**3 + 0 + 5/3*y**4 - 2/3*y**z.
y**2*(y + 1)*(5*y - 2)/3
Let u(w) = -w - 1. Let j be u(-1). Let l(b) be the third derivative of -4*b**2 + j*b + 0 + 1/9*b**3 + 1/18*b**4 + 1/90*b**5. Find v, given that l(v) = 0.
-1
Let g(n) be the second derivative of -5*n + 0 - 4/15*n**3 - 1/50*n**5 + 0*n**2 + 2/15*n**4. Find v, given that g(v) = 0.
0, 2
Let k(s) be the second derivative of -s**4/36 + s**3/3 - 3*s**2/2 + 7*s. Solve k(c) = 0.
3
Let i(k) = -k**2 - 2*k - 7. Let x(u) = 2*u + 6. Let p = 0 + 3. Let t(a) = p*x(a) + 2*i(a). Find y such that t(y) = 0.
-1, 2
Let r(p) = -2*p**2 + 3. Let n be ((-2)/(-4))/1*8. Let q(f) = -2*f**2 + 4. Let s(k) = n*r(k) - 3*q(k). Let s(t) = 0. What is t?
0
Let w(f) = 4*f**4 + 5*f**3 + 8*f**2 - 5*f + 6. Let d(a) = -2*a**2 - 5*a**2 - 3*a**4 + 4*a + 0*a - 4*a**3 - 5. Let u(h) = -6*d(h) - 5*w(h). Factor u(s).
-s*(s - 1)*(s + 1)*(2*s + 1)
Let p(b) be the second derivative of 1/42*b**4 + 0 + 2*b + 0*b**2 - 1/21*b**3. Find w, given that p(w) = 0.
0, 1
Let d(u) be the third derivative of -u**6/120 - u**5/48 + 7*u**4/96 + u**3/12 + 10*u**2. Let d(w) = 0. What is w?
-2, -1/4, 1
Let n(a) = a**2 - 3*a + 2. Let f(x) be the second derivative of -x**4/12 + x**3/2 - 3*x**2/2 - 3*x. Let t(u) = -2*f(u) - 3*n(u). Factor t(c).
-c*(c - 3)
Let o(c) = -c - 7. Let f be o(-5). Let m(y) = -1. Let g(d) = -d**2 - d - 9. Let a = 30 + -12. Let b(s) = a*m(s) + f*g(s). Factor b(i).
2*i*(i + 1)
Let x be 1/(-6)*(-43 - -40). Factor 0*k - x*k**5 + 0*k**3 + 0*k**2 + 0 + 1/2*k**4.
-k**4*(k - 1)/2
Let j be (-1 - -2)/(3/21). Let q(w) be the third derivative of w**2 - 1/24*w**4 + 0 + 2/105*w**j - 1/6*w**3 + 0*w + 3/20*w**5 - 11/120*w**6. Factor q(k).
(k - 1)**3*(4*k + 1)
Suppose -2*c = 81 - 11. Let h = -33 - c. Factor -1 - 1/2*a**3 - 2*a**h - 5/2*a.
-(a + 1)**2*(a + 2)/2
Let d(x) = -2*x - 1. Let c be d(0). Let f be 5/(-15) - 1*c. Determine u, given that 4/3*u**3 - 2/3*u**2 - f*u**4 + 0*u + 0 = 0.
0, 1
Suppose r**5 + 16*r**2 + 24*r**3 - 11*r**4 + 11*r**4 + 9*r**4 = 0. What is r?
-4, -1, 0
Suppose 0 = -11*v + 13*v - 4. Let n(y) be the first derivative of 0*y**3 + v + 0*y - 1/24*y**6 - 1/10*y**5 + 0*y**2 - 1/16*y**4. Solve n(k) = 0.
-1, 0
Find q such that -2/11*q**3 + 4/11*q**2 - 2/11*q + 0 = 0.
0, 1
Factor -3*o**2 + 5 - 3*o**3 - 5 + 2*o + 4*o**3.
o*(o - 2)*(o - 1)
Let c(a) be the second derivative of -3*a + 1/20*a**2 + 1/120*a**4 - 1/30*a**3 + 0. Factor c(u).
(u - 1)**2/10
Let s(y) = 3*y - 4. Let i be s(3). Suppose -2*u = 2 - 8. Factor 7 - u + n**2 - i*n + n.
(n - 2)**2
Factor -2/3*r**4 + 4/3*r**2 - 2/3 + 0*r + 0*r**3.
-2*(r - 1)**2*(r + 1)**2/3
Suppose 0 = s + 2*s - 12. Suppose 5*l - 3 = 4*n + 4, 0 = -4*n + 4*l - s. Factor -2/3*r**n + 0*r**3 + 0 + 2/3*r**4 + 0*r.
2*r**2*(r - 1)*(r + 1)/3
Find z such that -7*z + 6 - z**2 - z - z + 4*z**2 = 0.
1, 2
Let f(u) be the first derivative of 4 - 2/15*u**6 + 0*u - 2/5*u**4 + 0*u**2 - 2/5*u**5 - 2/15*u**3. Factor f(z).
-2*z**2*(z + 1)**2*(2*z + 1)/5
Let z be (8/(-20) - 0)*-15. Let r be -1 + (14/z)/1. Suppose 2*g**2 + 4/3*g + 1/3*g**4 + 1/3 + r*g**3 = 0. Calculate g.
-1
Let d(i) be the third derivative of -16*i**7/1575 - 2*i**6/45 - i**5/50 + 13*i**4/180 - 2*i**3/45 + 6*i**2. Solve d(z) = 0 for z.
-2, -1, 1/4
Let r(d) be the second derivative of -d**7/42 + d**6/15 + d**5/20 - d**4/6 - 17*d. Factor r(i).
-i**2*(i - 2)*(i - 1)*(i + 1)
Let s(g) be the third derivative of g**8/90720 - g**7/22680 - g**5/30 + 3*g**2. Let a(u) be the third derivative of s(u). Solve a(q) = 0.
0, 1
Let m(k) = k - 3. Let l be m(-4). Let s(f) = 2*f**2 + 0*f**2 + 5*f + 4*f**2. Let r(g) = -3*g**2 - 2*g. Let q(p) = l*r(p) - 4*s(p). Factor q(a).
-3*a*(a + 2)
Let t(d) be the first derivative of -4/45*d**5 + 0*d**4 + 0*d + 4/27*d**3 + 3 - 1/27*d**6 + 1/9*d**2. Factor t(r).
-2*r*(r - 1)*(r + 1)**3/9
Suppose -5 = -5*a + 10. Suppose -z - 2*g = z, -4*z - a*g + 2 = 0. Factor -2*y**2 + z*y**2 - y**2 + 2*y**2.
y**2
Let m = 69 - 2897/42. Let w(q) be the second derivative of -m*q**4 + 2/21*q**3 - 2*q + 0*q**2 + 0. Determine b so that w(b) = 0.
0, 2
Factor -1/4*f + 1/4*f**3 + 0 + 3/4*f**4 - 3/4*f**2.
f*(f - 1)*(f + 1)*(3*f + 1)/4
Let h(s) be the second derivative of 1/14*s**7 + 0*s**3 + 2/15*s**6 + 1/20*s**5 + 0*s**4 + 0*s**2 + 0 + s. Factor h(j).
j**3*(j + 1)*(3*j + 1)
Let 30 - 9*o**3 + 7*o**4 + 32*o - 4*o**4 - 23*o - 33*o**2 = 0. Calculate o.
-2, -1, 1, 5
Let c = 639 + -639. Factor c - 9/2*s**3 - 3/2*s - 9/2*s**2 - 3/2*s**4.
-3*s*(s + 1)**3/2
Let k(l) be the first derivative of -5*l**4/12 - 8*l**3/9 - l**2/2 + 10. Solve k(j) = 0.
-1, -3/5, 0
What is f in -3*f**2 - 27*f + 15*f + 10*f + 1 = 0?
-1, 1/3
Factor 1/2 + 3/2*j**2 - 3/2*j - 1/2*j**3.
-(j - 1)**3/2
Let v(d) be the first derivative of -d**3/27 + d**2/9 + 8*d/9 + 26. Suppose v(j) = 0. Calculate j.
-2, 4
Suppose -2 - 3 = a - 2*o, -4*o + 16 = 0. Let t(i) be the first derivative of 8/3*i**3 + a + 1/2*i**4 + 5*i**2 + 4*i. Determine j, given that t(j) = 0.
-2, -1
Let f = 16 + -14. Factor g + 2/3 + 1/3*g**f.
(g + 1)*(g + 2)/3
Suppose 4*a + 12 = 8*a. Suppose -2 = -a*u + 2*u. Let 4/5 - 2*g**4 + 2/5*g - 18/5*g**u - 26/5*g**3 = 0. What is g?
-1, 2/5
Suppose a + 107 = 30. Let p be 14/a + (-41)/(-44). Factor p*f + 0 - 3/2*f**2.
-3*f*(2*f - 1)/4
Let s(n