6*w + 2 = 0.
1, 2
Let 3/5*q**2 - 3/5 + 0*q = 0. Calculate q.
-1, 1
Let k be ((-3)/9)/(1/(-6)). Suppose -3*m - 4 = -5*m. Find d, given that d**m + 0*d**k + d**2 - d**4 - d**4 = 0.
-1, 0, 1
Let s(l) be the second derivative of -4/3*l**3 + 12*l**2 + 5*l + 1/18*l**4 + 0. Factor s(j).
2*(j - 6)**2/3
Let l = -47/80 - -35/16. Determine s, given that 4/5*s**2 + 2/5*s**4 - l*s + 8/5*s**3 - 6/5 = 0.
-3, -1, 1
Suppose n - 3 = -2*n. Suppose 0 = 3*r - 2*r - n. Let b(y) = -y**5 + y**3. Let v(x) = -2*x**4 + 2*x**2. Let j(d) = r*v(d) - 2*b(d). Let j(c) = 0. Calculate c.
-1, 0, 1
Suppose 117 = 5*t - 3. Let k = t - 20. Solve -4*a**3 + 3*a**3 + 5*a**5 - k*a**5 = 0.
-1, 0, 1
Let x(j) be the first derivative of j**6/120 - 23*j**5/280 + 3*j**4/28 - 2*j**3/3 - 8. Let w(a) be the third derivative of x(a). Factor w(q).
3*(q - 3)*(7*q - 2)/7
Let k(h) = -3*h**2 - 6*h - 3. Let m(j) = -j**2 + 1 - 4766*j + 4766*j. Let o(z) = -3*k(z) + 6*m(z). Factor o(p).
3*(p + 1)*(p + 5)
Let s be (-14)/(-8) + (-1)/4. Let t be (-546)/(-112)*(-360)/(-260). Determine v, given that -s*v**2 + t + 3/8*v**3 - 9/8*v = 0.
-2, 3
Suppose -2*z - 1 = -3*v, 0 = -3*v + v + 6. Determine h so that 6*h - 271*h**z - 18*h + 139*h**4 + 4 + 133*h**4 + 13*h**2 - 6*h**3 = 0.
1, 2
Let l(k) be the first derivative of 0*k**2 - 1/18*k**4 + 0*k**5 + 17 + 0*k + 1/27*k**6 + 0*k**3. What is j in l(j) = 0?
-1, 0, 1
Let i(j) be the second derivative of -j**8/1400 - j**7/300 + j**5/75 - 8*j**3/3 - j. Let k(s) be the second derivative of i(s). What is q in k(q) = 0?
-2, -1, 0, 2/3
Solve 6/17*k**3 + 4/17*k**2 + 0 + 0*k + 2/17*k**4 = 0.
-2, -1, 0
Let h(y) be the first derivative of 3*y**4/2 + 20*y**3/3 + 4*y**2 - 16*y - 465. Factor h(n).
2*(n + 2)**2*(3*n - 2)
Let b(v) = -3*v**3 + 13*v**2 + 4*v - 4. Let d(s) = -s**2 - s + 1. Suppose -3*w + 2*t = -1, -w - 5*t + 6 = -0*w. Let p(z) = w*b(z) + 4*d(z). Factor p(c).
-3*c**2*(c - 3)
Let t be (-1)/(0 + (-2)/14). Suppose 0 = -5*s - l + 18, -3*s + 5 = 3*l - 1. Suppose -11*p**2 - 17*p**4 + 5*p**s - 3*p - t*p**2 - 27*p**3 = 0. What is p?
-1, -1/4, 0
Let k = -280 - -285. Let a(i) be the second derivative of k*i + 0*i**4 + 0*i**3 + 0*i**5 + 1/120*i**6 - 1/168*i**7 + 0*i**2 + 0. Factor a(c).
-c**4*(c - 1)/4
Let k(g) be the third derivative of 1/100*g**5 + 0*g**3 + 12*g**2 + 0*g - 1/20*g**4 + 0. Factor k(j).
3*j*(j - 2)/5
Let s(w) be the second derivative of -9*w**5/80 - w**4/4 + 7*w**3/8 + 20*w. What is f in s(f) = 0?
-7/3, 0, 1
Let i(q) = q**3 + 2*q**2 - 3*q - 3. Let f be i(-2). Factor -11*k**3 + 15*k**4 + 9*k**3 + 6*k + f*k**2 - 22*k**3.
3*k*(k - 1)**2*(5*k + 2)
Let m be (114/9)/(4/36*6). Determine f so that 2*f**4 + 6*f**4 + 16*f**3 + m*f**5 - 12*f**3 - 15*f**5 = 0.
-1, 0
Let j(p) be the first derivative of p**4/26 - 14*p**3/39 - 18*p**2/13 - 92. What is i in j(i) = 0?
-2, 0, 9
Let r(t) be the second derivative of t**6/90 - t**5/30 - 5*t**4/36 + t**3/3 + 34*t. Factor r(b).
b*(b - 3)*(b - 1)*(b + 2)/3
Let v(y) = -y. Let c(b) = b**2 - 12*b - 12. Let j(m) = 9*m**2 - 120*m - 120. Let l(k) = -21*c(k) + 2*j(k). Let i(n) = -l(n) - 12*v(n). Solve i(x) = 0 for x.
-2, 2
Let b be ((-27)/(-1 - -4))/(2 - 5). Factor 8/9*l**b + 2/9 + 4/3*l**2 + 2/9*l**4 + 8/9*l.
2*(l + 1)**4/9
Suppose -790*z = -813*z + 69. Let v(i) be the third derivative of 3/4*i**4 - 11/8*i**5 + 0 + i**z + 8*i**2 + 0*i. Factor v(g).
-3*(5*g - 2)*(11*g + 2)/2
Suppose 0 = -3*b - 9 + 3. Let r(c) = 3*c**3 - 2*c**2 - c. Let v(l) = l**3 - l**2. Let f(k) = b*v(k) + r(k). Suppose f(y) = 0. What is y?
-1, 0, 1
Let l(x) be the third derivative of -x**6/600 - x**5/25 - 3*x**4/8 - 5*x**3/3 - 160*x**2. Factor l(r).
-(r + 2)*(r + 5)**2/5
Factor -13*u + 32 - 86*u**2 - 28*u - 10*u**3 - 3*u.
-2*(u + 1)*(u + 8)*(5*u - 2)
Let d = 1431 + -1431. Let r(q) be the third derivative of -3*q**2 + 1/15*q**4 + 1/150*q**5 + 4/15*q**3 + 0*q + d. Factor r(k).
2*(k + 2)**2/5
Let r = -63 - -66. Find f, given that r*f**2 + 313*f - 3*f**2 - 317*f - 4*f**2 + 8 = 0.
-2, 1
Suppose -81*l**2 + 120*l**3 + 20 + 11*l**2 - 60*l**3 + 50*l**4 - 12*l**5 - 3*l**5 - 45*l = 0. Calculate l.
-1, 1/3, 1, 4
Let u(d) be the third derivative of 0*d - 1/150*d**5 + 1/30*d**4 + 0*d**3 + 14*d**2 + 0. Factor u(t).
-2*t*(t - 2)/5
Let x(p) be the second derivative of p**4/4 - 8*p**3 - p - 77. Let x(a) = 0. Calculate a.
0, 16
Let x(f) be the third derivative of f**5/270 - 10*f**4/27 + 37*f**3/9 - 18*f**2 + 6. Factor x(k).
2*(k - 37)*(k - 3)/9
Let d(q) be the first derivative of -2*q**6/3 - 12*q**5/5 + 9*q**4 + 92*q**3/3 + 24*q**2 + 173. Suppose d(n) = 0. Calculate n.
-4, -1, 0, 3
Let z(w) be the first derivative of -3/28*w**4 - 9/14*w**2 - 5/7*w**3 - 5 + 27/7*w. Factor z(l).
-3*(l - 1)*(l + 3)**2/7
Suppose -1/6*c**2 + 2/3 - 1/2*c = 0. Calculate c.
-4, 1
Let l(q) be the second derivative of 2*q + 1/18*q**3 + 1/90*q**6 + 0*q**2 - 1/36*q**4 + 0 - 1/60*q**5. Let l(r) = 0. Calculate r.
-1, 0, 1
Let t(r) be the second derivative of 0 + 5/12*r**3 + 3*r - 1/24*r**4 - 3/2*r**2. Solve t(u) = 0.
2, 3
Find g, given that 395*g + 15*g**2 + 11*g**2 - 420*g**3 - 16*g**2 + 55*g**2 + 25*g - 245*g**4 + 180 = 0.
-1, -6/7, 1
Solve 0*n + 0 - 6/13*n**5 - 20/13*n**4 + 46/13*n**3 - 20/13*n**2 = 0.
-5, 0, 2/3, 1
Let c(h) be the third derivative of h**8/336 + h**7/210 - h**6/120 - h**5/60 - 664*h**2. Factor c(g).
g**2*(g - 1)*(g + 1)**2
Let b(s) be the second derivative of 10/27*s**4 + 0*s**2 + 1/27*s**7 - 2/135*s**6 - 18*s + 0 - 4/27*s**3 - 7/30*s**5. Solve b(w) = 0 for w.
-2, 0, 2/7, 1
Let f(a) = -7*a**5 - 4*a**2 - 3*a**5 + 0*a**4 - 5*a**3 - 4*a**4 + 9*a**5. Let s(l) = -l**2. Let x(u) = 3*f(u) - 6*s(u). Determine t so that x(t) = 0.
-2, -1, 0
Let u(j) be the second derivative of j**7/2 - 13*j**6/5 + 39*j**5/20 + 17*j**4/2 - 10*j**3 - 12*j**2 + 115*j - 2. Let u(o) = 0. What is o?
-1, -2/7, 1, 2
Let k(t) be the first derivative of -20/3*t**3 - 4*t**2 - 4*t**4 + 0*t + 12 - 4/5*t**5. Find h, given that k(h) = 0.
-2, -1, 0
Let a(h) be the first derivative of h**9/27216 - h**8/15120 + 2*h**3 + 13. Let w(p) be the third derivative of a(p). Factor w(q).
q**4*(q - 1)/9
Suppose 0 = -147*f + 72*f + 83*f. Let -1/2*g**3 + 0*g + f + 0*g**2 = 0. What is g?
0
Let j(v) = v**2 + 16*v + 64. Suppose 4*d = -3*m - 35, -5*d + 17 - 62 = 4*m. Let g(x) = -x**2 - 16*x - 64. Let f(a) = d*j(a) - 6*g(a). Factor f(p).
(p + 8)**2
Factor 14*b - 10/3 + 2*b**3 - 38/3*b**2.
2*(b - 5)*(b - 1)*(3*b - 1)/3
Let b(w) = w**3 + 4*w**2 + 2*w - 1. Let p be b(-2). Factor -3*g**4 - 2 - 21*g - g**4 - g**p + 16*g + 12*g**2.
-(g - 1)**2*(g + 2)*(4*g + 1)
Suppose -172 = -2*k - 5*g + 374, -g = 0. Factor 10 + 7*t - k*t**2 + 5*t**5 - 20*t**3 + 8*t + 263*t**2.
5*(t - 2)*(t - 1)*(t + 1)**3
Let k be (-6)/3 - (361/(-5) + 0). Let w = k - 70. What is v in -w*v**2 + 1/5 - 3/5*v**3 + 3/5*v = 0?
-1, -1/3, 1
Let u = 11 + -8. Let -19*h**u + h**5 - 24*h**3 + h**5 + 41*h**3 = 0. What is h?
-1, 0, 1
Let r(l) be the first derivative of l**5/140 + 3*l**4/28 + 5*l**3/14 - 9*l**2/2 + 9. Let c(m) be the second derivative of r(m). Factor c(g).
3*(g + 1)*(g + 5)/7
Let w = 5765 - 5763. Factor 4/5 + w*k**3 - 16/5*k**2 + 2/5*k.
2*(k - 1)**2*(5*k + 2)/5
Let o(c) be the third derivative of -2*c**7/105 + 7*c**6/15 + 17*c**5/15 - 5*c**4 + 17*c**2 + 1. Factor o(r).
-4*r*(r - 15)*(r - 1)*(r + 2)
Solve -785*p**2 - 45*p**3 + 2*p**3 + 2473*p + 2627*p - 5780 - 5*p**4 - 107*p**3 = 0.
-17, 2
Let i = 5693 - 5690. Factor -8/5*g**i - 8/5 + 8/5*g + 6/5*g**2 + 2/5*g**4.
2*(g - 2)**2*(g - 1)*(g + 1)/5
Factor z**2 + 1/5*z**3 - 1 - 1/5*z.
(z - 1)*(z + 1)*(z + 5)/5
Let b be -2*((-105)/6 + 3). Suppose 5*v - 15*v + 320 = 0. Find i, given that -19*i - v*i**2 - 25*i**3 - b*i**3 - 16*i**4 - 25*i**2 - 2*i**3 - 2 = 0.
-2, -1, -1/4
Suppose d + 5 = 0, -5*d - 39 - 2 = -2*k. Suppose 7*u = 5*u + k. Factor 3*m**2 - 5*m**3 - 4*m**u + 2*m**4 - m + 3*m**4 + 2*m**3.
m*(m - 1)**3
Let q(x) be the second derivative of -x**6/135 - 4*x**5/45 + 19*x**4/54 - 10*x**3/27 - 181*x. Factor q(o).
-2*o*(o - 1)**2*(o + 10)/9
Let v = 3 + -1. Suppose 5*g - 18 = -3*r, -g - 6*r - v = -4*r. Factor 2*z**2 + 12*z**5 - 2*z**4 - g*z**5 - 2*z**3 - 4*z**5.
2*z**2*(z - 1)**2*(z + 1)
Let v(n) = 0*n**4 + n**4 - 2*n**3 + n**3. Let f(g) = 2*g**5 - 3*g**3 + g**5 + 0*g**3 - 407*g**4 + 413*g**4 + 0*g**3. Let h(x) = -f(x) + 3*v(x). Factor h(r).
-3*r**4*(r + 1)
Sup