-4*j(s) + 18*y(s). Solve i(u) = 0 for u.
-1, 5
Let o(m) = -4*m**3 - 3*m**2 + 2. Let i(j) = 11*j**3 + 8*j**2 - j - 6. Let d(y) = -3*i(y) - 8*o(y). Let d(v) = 0. What is v?
-1, 2
Solve -2/7*x**5 + 24/7*x**2 + 0 - 6/7*x**4 + 4/7*x**3 + 16/7*x = 0.
-2, -1, 0, 2
Let f be (-16)/136 - (-72)/34. Let 1/3*n**3 - 1/3*n**f + 0 + 0*n = 0. Calculate n.
0, 1
Suppose 0 = 3*b - 12 + 3. Suppose 0 = -5*d - 3*r, -b*d - r = -2*r. Let -2/7 + 0*g**3 - 2/7*g**4 + d*g + 4/7*g**2 = 0. What is g?
-1, 1
Let i(q) = -7*q**3 + 15*q**2 + 188*q + 8. Let r(v) = 5*v**3 - 10*v**2 - 125*v - 5. Let x(p) = 5*i(p) + 8*r(p). Find u such that x(u) = 0.
-3, 0, 4
Suppose -5*v = -4*l, -4*l + 1 = -3*l - v. Let t(j) be the second derivative of 0 + 1/2*j**2 + 0*j**l + 0*j**3 - 1/6*j**4 + 1/30*j**6 + j. Factor t(h).
(h - 1)**2*(h + 1)**2
Let z(l) be the second derivative of -49*l**4/9 + 28*l**3/3 - 6*l**2 - 9*l. Factor z(g).
-4*(7*g - 3)**2/3
Let j(y) be the second derivative of y**5/90 + y**4/54 - y**3/27 - y**2/9 - 44*y. Find r, given that j(r) = 0.
-1, 1
Let r be 1/(-6)*3/(-2). Let m(w) = 2*w**2 + w. Let k be m(0). Factor -1/4*d**5 + r*d**2 - 1/4*d**4 + 1/4*d**3 + 0 + k*d.
-d**2*(d - 1)*(d + 1)**2/4
Determine q, given that -2*q**2 + 0 + q**2 + 3 + 4*q + 2*q**2 = 0.
-3, -1
Let j(c) be the second derivative of -7/2*c**3 + 3/5*c**5 + 3*c**2 + 2*c + 0 - 5/4*c**4. Find m, given that j(m) = 0.
-1, 1/4, 2
Find j, given that -8/3*j + 56/3*j**2 + 0 - 98/3*j**3 = 0.
0, 2/7
Let l(k) be the first derivative of 1/180*k**6 + 2/3*k**3 - 1/6*k**4 - 1/60*k**5 + 0*k**2 + 0*k + 1. Let w(v) be the third derivative of l(v). Factor w(g).
2*(g - 2)*(g + 1)
Let g(o) = 2*o - 9. Suppose -4 = -2*f, -4*y + f + 9 = -13. Let k be g(y). Factor -1/3*h**4 + 0*h**2 + 0*h + 0*h**k + 0 - 1/3*h**5.
-h**4*(h + 1)/3
Let h be -3 + 8 + 2 + -4. Suppose -h*u + 0 - 9 = -2*b, 5*b - u - 3 = 0. Factor 1/2*s**3 + b*s**2 - 1/2*s + 0.
s*(s - 1)*(s + 1)/2
Let h(x) = x**3 - 3. Let o be h(0). Let k = o + 6. Suppose 6*r**2 + k + 4*r + 2*r**3 - 3 = 0. What is r?
-2, -1, 0
Solve -35*v**5 - 2*v**2 - 21*v**4 + 5*v**4 + 14*v**3 + 3*v**5 = 0 for v.
-1, 0, 1/4
Let o(j) = j**2 - 4*j - 8. Let x be o(6). Let p(h) be the second derivative of 1/40*h**5 + 0 + h + 0*h**2 + 0*h**x - 1/12*h**3. Factor p(t).
t*(t - 1)*(t + 1)/2
Find l, given that 40/9*l**2 + 8/9 - 4*l - 4/3*l**3 = 0.
1/3, 1, 2
Let n(h) be the first derivative of h**3 - h - 1. Let w be n(1). Solve 2 - 4*a**2 - 2*a**3 + 2*a + 5*a**2 - 3*a**w = 0 for a.
-1, 1
Let h(t) be the third derivative of t**6/180 - 7*t**5/135 + 17*t**4/108 - 2*t**3/9 + 8*t**2. Let h(w) = 0. Calculate w.
2/3, 1, 3
Suppose 3*d + 9 = 6*d. Suppose -3*b = 4*z - 20, d*b - 10 = -2*b - 2*z. Find i, given that i + 1/2*i**2 + b = 0.
-2, 0
Let q(k) be the first derivative of -k**9/1008 - k**8/560 + k**7/280 + k**6/120 - 2*k**3/3 - 2. Let t(g) be the third derivative of q(g). Factor t(s).
-3*s**2*(s - 1)*(s + 1)**2
Let k(y) be the third derivative of 0*y**6 + 1/105*y**5 - 1/1176*y**8 + 0*y + 2*y**2 + 0 - 2/735*y**7 + 0*y**3 + 1/84*y**4. Factor k(j).
-2*j*(j - 1)*(j + 1)**3/7
Let r(h) be the third derivative of 2/15*h**3 + 0 + 0*h**5 + 0*h + h**2 + 1/300*h**6 - 1/20*h**4. Find z, given that r(z) = 0.
-2, 1
Let 0 + 18*m**3 + 15*m - 3*m**2 + 6*m**2 + 6 - 24*m**3 = 0. Calculate m.
-1, -1/2, 2
Determine x, given that 0*x**2 - 3*x**2 - 3*x**2 + 4*x**2 = 0.
0
Let r(w) be the first derivative of -w**8/4200 + w**6/900 + 2*w**3 + 3. Let y(l) be the third derivative of r(l). Solve y(v) = 0.
-1, 0, 1
Let a(n) be the first derivative of -n**7/2100 + n**5/75 + n**3/3 - 4. Let s(g) be the third derivative of a(g). Factor s(k).
-2*k*(k - 2)*(k + 2)/5
Suppose -30 = 5*h - 70. Let 14*c + 0 - h*c**2 - 3*c**5 - 3 - 28*c**3 + 17*c**5 + 4*c**4 + 7 = 0. What is c?
-1, -2/7, 1
Let h(d) be the third derivative of -d**5/60 + 5*d**4/12 - 25*d**3/6 - 13*d**2. Determine c, given that h(c) = 0.
5
Let 0*h + 0 + 2/5*h**3 + 2/5*h**2 = 0. Calculate h.
-1, 0
Let a(q) be the second derivative of q**6/120 - q**5/160 - q**4/16 + 7*q**3/48 - q**2/8 - 5*q. Factor a(x).
(x - 1)**2*(x + 2)*(2*x - 1)/8
Let c(h) be the third derivative of 0*h + 4*h**2 - 1/2*h**3 + 3/112*h**8 - 1/8*h**4 + 3/10*h**5 - 1/14*h**7 + 0 - 1/20*h**6. Suppose c(q) = 0. What is q?
-1, -1/3, 1
Let n(t) be the third derivative of 3*t**2 + 1/60*t**4 + 0 + 0*t**5 + 0*t + 0*t**3 - 1/300*t**6. Determine m, given that n(m) = 0.
-1, 0, 1
Let p = -8 - -6. Let h be -1*(-3 - p) - -1. Find q, given that 0*q - 1/5*q**3 + 0*q**h + 0 = 0.
0
Let o(l) be the second derivative of l**10/30240 - l**9/7560 + l**8/6720 - l**4/4 + 3*l. Let b(w) be the third derivative of o(w). Factor b(m).
m**3*(m - 1)**2
Let w(b) = -7*b**3 + 6*b**2 - 4*b - 4. Suppose -11 - 1 = -3*n. Let y(q) = 27*q**3 - 24*q**2 + 15*q + 15. Let r(k) = n*y(k) + 15*w(k). Factor r(o).
3*o**2*(o - 2)
Let a(n) = -n + 8. Let x be a(7). Let t be 6/(-9)*-3 + x. Factor -1/5 + z**2 + 3/5*z**t + 1/5*z.
(z + 1)**2*(3*z - 1)/5
Let p(f) = -f**5 + f**4 + f**3. Let n(w) = -2*w**5 - 5*w**4 + 7*w**3 + 4*w**2 - 5*w - 2. Let c(r) = -2*n(r) - 6*p(r). Determine b so that c(b) = 0.
-1, -2/5, 1
Let p be 5/(-2)*16/(-10). Suppose -p*r - 4*b + 9 = 1, -r + 3*b = -2. Factor 8/5*i**3 - 8/5*i - 2/5 + 2/5*i**r.
2*(i - 1)*(i + 1)*(4*i + 1)/5
Factor -4*c**2 - 166*c**4 + 82*c**4 + 85*c**4 + c**3 - 4*c.
c*(c - 2)*(c + 1)*(c + 2)
Let v = -87 - -89. Find q such that -2/9*q**v + 0 - 4/9*q = 0.
-2, 0
Let u(g) = 2*g**2 - 3*g. Let f(v) = 3*v**2 - 4*v. Let h = 6 + -4. Suppose -16 + h = 2*k. Let o(z) = k*u(z) + 5*f(z). Solve o(m) = 0.
-1, 0
Suppose 0 = -3*w - 2 - 1. Let g(z) = 2*z**2 + 2*z + 14. Let q(b) = b - 1. Let u be (27/6)/((-6)/8). Let t(j) = u*q(j) + w*g(j). Solve t(d) = 0 for d.
-2
Let a(z) be the second derivative of 0 + 0*z**3 - 1/60*z**4 + 1/10*z**2 - 3*z. Factor a(d).
-(d - 1)*(d + 1)/5
Suppose 3*v = -83*v + 172. Suppose -1/3*f - 1/3*f**v + 1/3*f**3 + 1/3 = 0. What is f?
-1, 1
Factor 3/5*j**4 - 3/5*j**2 + 0*j**3 + 0 + 0*j.
3*j**2*(j - 1)*(j + 1)/5
Determine m so that 5*m - 104*m**2 - 28 - 37*m + 100*m**2 = 0.
-7, -1
Let m = -2 + 5. Factor 3*b + 0*b**2 - 4*b - m*b**3 - 3*b**2 + 3*b**4 + 4*b.
3*b*(b - 1)**2*(b + 1)
Let t(y) be the second derivative of -y**7/63 + 2*y**6/45 - y**5/30 + 5*y. Let t(c) = 0. Calculate c.
0, 1
Suppose -2*l + 2 = -2*f + 6, -4*l - 3*f + 6 = 0. Let o(h) be the third derivative of 0*h**3 + 0 - 1/24*h**4 + l*h + 3*h**2 + 1/60*h**5. Factor o(r).
r*(r - 1)
Suppose 0*l - 8 = -2*l. Suppose m = 3*m - 3*g - 12, 0 = -g - l. Find q such that -4*q**3 + 2*q**3 + 0 + q**4 + m + q**2 = 0.
0, 1
Let b be 2/8 + 35/4. Suppose 5*v = b + 6. Suppose -5*i**v - 2*i**4 + 2*i + 1/2 + 1/2*i**2 + 4*i**5 = 0. What is i?
-1/2, 1
Let s(f) be the first derivative of -1/1440*f**6 + 0*f**4 + 2/3*f**3 + 0*f + 2 + 0*f**5 + 0*f**2. Let n(l) be the third derivative of s(l). Factor n(z).
-z**2/4
Let t = -14 + 12. Let b be (t/6*0)/1. Factor -2/9*p + b*p**2 + 2/9*p**3 + 0.
2*p*(p - 1)*(p + 1)/9
Let y(j) = -j + 3. Suppose -5*t + 2*u = -2, 5*t - 2*u - 3*u - 5 = 0. Let i be y(t). Suppose 2/5*b**4 + 0*b**2 + 0*b + 0 - 2/5*b**i = 0. Calculate b.
0, 1
Let t(r) = -r**2. Let g(c) = -4*c**2 - 6*c - 9. Let h(j) = g(j) - 3*t(j). Factor h(p).
-(p + 3)**2
Let u(d) be the first derivative of 3*d + 1/3*d**3 - 2*d**2 + 6. Factor u(o).
(o - 3)*(o - 1)
Let x be ((-6)/(-15))/(4/40). Let i be (4 - 0) + 0/x. Determine y so that 0 - 9/5*y**i + 11/5*y**3 + 0*y - 2/5*y**2 = 0.
0, 2/9, 1
Let p = 20 + -19. Let v(o) be the first derivative of -p - 2/3*o - 2/9*o**3 + 2/3*o**2. Find t, given that v(t) = 0.
1
Let y(f) be the third derivative of 0*f - 1/60*f**5 + 0 - 1/12*f**4 - 1/6*f**3 - f**2. Suppose y(z) = 0. Calculate z.
-1
Let q(p) be the first derivative of p**5/20 + p**4/4 + p**3/2 - p**2 - 3. Let o(w) be the second derivative of q(w). Factor o(u).
3*(u + 1)**2
Suppose 3*p = -4*o - 1, p = 5*o - 2*p - 19. Find r such that 2*r**4 - r**3 + r**3 + 0*r**4 + o*r**3 = 0.
-1, 0
Let l(x) be the first derivative of x**4/10 - 2*x**3/3 + 3*x**2/5 + 18*x/5 + 4. Factor l(s).
2*(s - 3)**2*(s + 1)/5
Suppose -6 = -2*x + 2*d, -2*x - 5*d - 3 = 5. Let c(t) = -21*t**2 + 5*t**3 + 7*t + 21*t**2. Let h(v) = -v**3 - v. Let a(p) = x*c(p) + 6*h(p). Solve a(l) = 0.
-1, 0, 1
Factor 32/11*t + 34/11*t**2 + 8/11 + 10/11*t**3.
2*(t + 1)*(t + 2)*(5*t + 2)/1