- 1/270*w**5 + 0*w**4 + 0*w**3 + 1/540*w**6. Determine j so that v(j) = 0.
0, 1
Suppose -25*d + 55 - 5 = 0. Suppose 1/3*r**d - 1/3 + 0*r = 0. What is r?
-1, 1
Let m(c) = -c**2. Let i(q) = -7*q**2 - 8*q. Let g(h) = -i(h) + 6*m(h). Suppose g(j) = 0. Calculate j.
-8, 0
Let r(b) be the first derivative of 28*b**5/5 + 41*b**4/2 - 82*b**3/21 - 8*b**2 + 24*b/7 - 11. Find a such that r(a) = 0.
-3, -1/2, 2/7
Factor 0*h + 0 - 1/2*h**4 + 0*h**3 + 1/2*h**2.
-h**2*(h - 1)*(h + 1)/2
Factor 0*p - 1/6*p**3 + 0 + 0*p**2.
-p**3/6
Let o = 44 + -28. Factor 12*p**3 + o - 9 + 3*p**2 - 10 - 12*p.
3*(p - 1)*(p + 1)*(4*p + 1)
Let j(l) = 9*l**3 + 3*l**2 + 2*l. Suppose -40 - 2 = 3*v. Let q(m) = 4*m**3 + m**2 + m. Let f(u) = v*q(u) + 6*j(u). Factor f(d).
-2*d*(d - 1)**2
Suppose -5*r + 2*g = -3*g - 110, 3*g = -2*r + 24. Factor -13*l**3 + 6*l**4 - 4*l + 0*l + r*l**2 - 4*l**2 - 3*l**3.
2*l*(l - 1)**2*(3*l - 2)
Let c(x) = -2*x**3 + x - 1. Let h be c(-2). Let k = h + -13. Factor 0 + 0*z**2 - 4/3*z**4 - 2/3*z**3 + k*z - 2/3*z**5.
-2*z**3*(z + 1)**2/3
Let w(q) be the third derivative of -q**8/90720 + q**5/15 + 5*q**2. Let y(r) be the third derivative of w(r). Factor y(c).
-2*c**2/9
Let r be 17/5 - 4/10. Factor 13*p - r*p + 0*p**2 - p**3 - 2*p**4 - p**3 + 4 + 6*p**2.
-2*(p - 2)*(p + 1)**3
Suppose 3*a - 16 = -4*d, a - 6*a = -4*d - 16. Let o be a/18 + (-58)/(-63). Suppose -6/7*j**2 - o*j + 8/7 = 0. Calculate j.
-2, 2/3
Let b(a) = -2*a - 1. Let o be b(-2). Factor 1/4*s**o - 1/4*s**2 - 1/4*s**5 + 0*s + 0 + 1/4*s**4.
-s**2*(s - 1)**2*(s + 1)/4
Let f = 7 - 5. Solve -17*a - 4*a**2 + 1 - f + 4*a - 2 = 0.
-3, -1/4
Let s(u) be the first derivative of 0*u**3 - 2 + 3*u - 1/42*u**4 + 1/7*u**2. Let j(t) be the first derivative of s(t). Determine q so that j(q) = 0.
-1, 1
Let x be 20/(-110) - 954/(-44). Let b = x + -21. Factor w**2 - b*w**3 + 0 - 1/2*w.
-w*(w - 1)**2/2
Factor 2*i**3 + 14*i**4 + i**3 - 11*i**4.
3*i**3*(i + 1)
Let p(f) = -f**2 + 5*f - 4. Let h(u) = 4*u + 8. Let s(c) = 11*c + 23. Let t(q) = -17*h(q) + 6*s(q). Let v(g) = -2*p(g) - 5*t(g). Determine a so that v(a) = 0.
-1, 1
Suppose 0*r**2 + 2/5*r**5 + 0 + 0*r**4 + 2/5*r - 4/5*r**3 = 0. Calculate r.
-1, 0, 1
Let q(a) = 4*a - 6. Let r be q(5). Let n be (8/r)/(10/7). Factor 0*w**2 + n*w - 2/5*w**3 + 0.
-2*w*(w - 1)*(w + 1)/5
Let j(b) be the third derivative of -b**6/280 - b**5/140 + 5*b**4/56 - 3*b**3/14 - 43*b**2. Suppose j(y) = 0. Calculate y.
-3, 1
Factor -9*h - 3*h + 3*h + 3 + 9*h**2 - 3*h**3.
-3*(h - 1)**3
Let g(r) be the second derivative of -r**7/1680 + r**3/2 + 2*r. Let s(y) be the second derivative of g(y). Factor s(b).
-b**3/2
Let g = 4/3 + 1/6. Determine a so that -3/4*a**2 - 3/4*a + g = 0.
-2, 1
Let z(p) be the first derivative of -p**4/10 + 2*p**3/15 + p**2 + 6*p/5 - 5. Find r, given that z(r) = 0.
-1, 3
Factor -14/5*s**4 + 2/5 + 4/5*s - 4/5*s**5 - 16/5*s**3 - 4/5*s**2.
-2*(s + 1)**4*(2*s - 1)/5
Let d(l) be the third derivative of -l**2 + 1/240*l**6 - 1/1344*l**8 + 0*l**5 + 0*l**3 - 1/96*l**4 + 0*l + 0*l**7 + 0. Determine h so that d(h) = 0.
-1, 0, 1
Let x(d) be the first derivative of -d**4 - 2/3*d**3 + 0*d + 3 - 2/5*d**5 + 0*d**2. Suppose x(m) = 0. Calculate m.
-1, 0
Let a = 41 + -71. Let q be 8/a - 18/(-27). Factor 2/5*b**3 - q*b + 2/5 - 2/5*b**2.
2*(b - 1)**2*(b + 1)/5
Let c(r) = r**4 + r**3 + 1. Let k(h) = -2*h**4 + 6*h**3 + 4*h**2 - 12*h - 14. Let s(n) = 6*c(n) + k(n). Factor s(t).
4*(t - 1)*(t + 1)**2*(t + 2)
Suppose 4*f - 2*f - 6 = 0. Let x(r) = 19*r**3 + 6*r**2 - 12*r - 13. Let u(c) = -9*c**3 - 3*c**2 + 6*c + 6. Let t(o) = f*x(o) + 7*u(o). Factor t(y).
-3*(y - 1)*(y + 1)*(2*y + 1)
Let v(r) be the second derivative of r**4/12 + 4*r**3/3 + 8*r**2 + 14*r. Factor v(j).
(j + 4)**2
Let i be (-6 - (-200)/32)*2*1. Suppose 5*y + 4*u + 1 = -15, -5*u - 20 = -4*y. Factor 0 - i*s**2 + y*s.
-s**2/2
Let u(r) be the third derivative of r**5/360 - r**4/72 - 14*r**2. Solve u(c) = 0.
0, 2
Let x(a) be the third derivative of -a**8/1008 - a**7/630 + a**6/72 + a**5/180 - a**4/9 + 2*a**3/9 + 28*a**2 - 2. Determine i so that x(i) = 0.
-2, 1
Let d(q) = q**5 + q**2 - q - 1. Let p(u) = u**5 - u**4 + 3*u**3 + 7*u**2 - 2. Let m(i) = -2*d(i) + p(i). What is r in m(r) = 0?
-1, 0, 2
Let y(l) be the third derivative of l**2 + 0 + 0*l - 1/135*l**6 - 5/1512*l**8 + 4/315*l**7 - 1/27*l**5 - 2/27*l**3 + 1/12*l**4. Let y(i) = 0. What is i?
-1, 2/5, 1
Let v(x) be the first derivative of -12/7*x**2 - 1/7*x**3 + 4 - 48/7*x. Factor v(o).
-3*(o + 4)**2/7
Let v = -3 + 7. Suppose n + v*n = 0. Find r such that 0*r + n - 2/9*r**2 = 0.
0
Solve 2/7*y**2 - 4/7*y + 2/7 = 0.
1
Let p(u) be the second derivative of 1/10*u**6 - u + 0*u**3 + 0 + 0*u**2 - 1/4*u**4 + 0*u**5. Solve p(o) = 0 for o.
-1, 0, 1
Determine b so that 3 - 6*b + 6 + b**2 - 4*b**2 = 0.
-3, 1
Let t = -81 - -84. Determine d, given that 0*d + 1/4*d**t + 1/4*d**2 + 0 = 0.
-1, 0
Let j = -3/107 + 241/963. Let 2/9*a**3 - j*a**4 + 0*a + 0 + 0*a**2 = 0. What is a?
0, 1
Let c(o) be the first derivative of o**4/16 - o**2/8 + 4. Let c(d) = 0. Calculate d.
-1, 0, 1
Factor -2*o**2 - 20 - 3*o**3 + 30*o - o**2 - 4.
-3*(o - 2)*(o - 1)*(o + 4)
Determine d, given that 4/7*d**3 - 2/7*d**4 - 2/7*d**5 - 2/7 - 2/7*d + 4/7*d**2 = 0.
-1, 1
Suppose -3 = t + 2*o, -5*o - 3 = 4*t - 0. Let g = -9 - -13. Factor -d + 3*d**3 - d + 3*d**t + g*d**2.
2*d*(d + 1)*(3*d - 1)
Factor 12/7*i - 4/7 - 5/7*i**2.
-(i - 2)*(5*i - 2)/7
Let w be (7 + -8)/((-1)/5). Let k be (11 + -7)/(w - 2). Factor -52/3*z**3 - k - 16*z**2 - 2*z**5 - 28/3*z**4 - 22/3*z.
-2*(z + 1)**4*(3*z + 2)/3
Suppose -8 + 4 + 4 - 4*g - 2*g**2 = 0. Calculate g.
-2, 0
Suppose 2*x + 22 = 2. Let u be (5 + -2)*x/(-15). Factor -10/3*a - 4/3 + 2*a**u.
2*(a - 2)*(3*a + 1)/3
Factor -27*z**3 + 0*z**5 - 4*z**4 - 18*z**4 + 7*z**4 - 6*z - 21*z**2 - 3*z**5.
-3*z*(z + 1)**3*(z + 2)
Solve 6*m**2 + 11*m - 10 - 8*m + 1 = 0 for m.
-3/2, 1
Suppose -2*w + j = -13, 3*w - 5*w + 4*j + 22 = 0. Suppose w*r - 194 - 1396 = 0. Suppose -294*p**3 - 25*p**4 - r*p**4 - 84*p**2 - 3*p - 5*p = 0. Calculate p.
-2/7, 0
Let h(r) be the second derivative of -1/60*r**6 - 1/40*r**5 - 4*r + 1/8*r**4 + 1/12*r**3 + 0 - 1/2*r**2. Let h(w) = 0. What is w?
-2, -1, 1
Factor 6/5 - 4/5*v - 2/5*v**2.
-2*(v - 1)*(v + 3)/5
Let v(s) be the second derivative of s**6/135 - s**4/27 + s**2/9 - s. Factor v(j).
2*(j - 1)**2*(j + 1)**2/9
Let d be 0*((-8)/(-24))/(8/(-12)). Factor 0*z + 1/2*z**2 + d.
z**2/2
Let j(m) = -m**2 - 4*m - 1. Suppose 3*f = o + 2*o - 3, 9 = -f - 3*o. Let z be j(f). Factor 2/3*d**z - 8/3*d + 8/3.
2*(d - 2)**2/3
Let a be (-2)/(-20)*(6 + 2). Solve -a*l - 2/5*l**2 + 0 = 0 for l.
-2, 0
Let y(p) = -p + 5. Let n be y(-6). Factor 7 + 6*o**2 + o**3 + n*o + 1 + o.
(o + 2)**3
Suppose -8*w + 26 = 10. Factor -36/5*t**3 + 32/5*t - 12/5*t**w + 16/5.
-4*(t - 1)*(3*t + 2)**2/5
Let w(k) be the second derivative of -k**6/540 + k**4/36 + k**3/2 + 2*k. Let l(p) be the second derivative of w(p). Factor l(t).
-2*(t - 1)*(t + 1)/3
Let g(m) be the first derivative of m**5/5 + 3*m**4/4 + m**3 + m**2/2 + 8. Factor g(a).
a*(a + 1)**3
Let r(w) be the third derivative of w**8/1512 + w**7/189 + w**6/60 + 7*w**5/270 + w**4/54 + w**2. Factor r(j).
2*j*(j + 1)**3*(j + 2)/9
Let v(n) be the second derivative of -n**7/1680 + n**6/720 - n**3/2 + n. Let x(l) be the second derivative of v(l). Find a, given that x(a) = 0.
0, 1
Let r be ((-136)/36 - -4) + 10/36. What is j in r*j + 0 - 3/2*j**3 - j**2 = 0?
-1, 0, 1/3
Factor -3/2 - 3/2*w**2 - 3*w.
-3*(w + 1)**2/2
Let q(g) be the second derivative of 49/6*g**4 - 8*g + 16*g**2 + 0 + 56/3*g**3. Factor q(o).
2*(7*o + 4)**2
Suppose -10 = 5*t, 4*b + 1 = -3*t - 5. Let o be (b/(-1))/(-14 - -16). Determine j so that o*j**2 + 0*j + 0 - 5/2*j**4 - 2*j**5 - 1/2*j**3 = 0.
-1, -1/4, 0
Suppose 17*s - 15*s = 16. Factor s*w**4 - 4 + 6*w**3 - 5*w**4 - 6*w + 1.
3*(w - 1)*(w + 1)**3
Suppose -w = 2*w. Suppose w + 2/7*c**2 + 2/7*c = 0. What is c?
-1, 0
Let d(i) be the second derivative of 2*i + 0 + 1/6*i**4 + 0*i**3 - 1/30*i**6 + 0*i**5 - 1/2*i**2. Determine g so that d(g) = 0.
-1, 1
Let v(p) be the third derivative of 1/180*p**5 + 0*p + 0 - 3*p**2 - 1/72*p**4 + 0*p**3. Let v(j) = 0. What is j?
0, 1
Let m(y) be the third derivative of -4*y**2 + 0*y**3 + 1/84*y**4 + 0*y + 1/1176*y**8 + 0 - 1/210*y**6 + 0*y**7 + 0*y**5. Factor