7*s + 1/21*s**3 + 0*s**2 - 2. Determine r so that i(r) = 0.
-1, 1
Factor 3/2*x**3 + 2*x + 4*x**2 + 0.
x*(x + 2)*(3*x + 2)/2
Let x(d) = -2*d**4 - 8*d**3 + 4*d**2 + 4*d. Let p(g) = g**5 + 6*g**4 + 25*g**3 - 13*g**2 - 12*g. Let w(c) = 2*p(c) + 7*x(c). Determine y, given that w(y) = 0.
-1, 0, 1, 2
Let k(p) be the third derivative of 0*p**3 - 1/40*p**6 + 0*p + 1/20*p**5 - 1/24*p**4 + 1/210*p**7 + 0 + 6*p**2. Suppose k(b) = 0. Calculate b.
0, 1
Let p = -11 - -5. Let u(a) = -4*a**3 + 7*a**2 - 6*a. Let r(b) = 12*b + 8*b**3 - 10*b**2 + b + 7*b**2 - 12*b**2. Let t(z) = p*r(z) - 13*u(z). Factor t(c).
c**2*(4*c - 1)
Let m = 99 + -97. Let l(p) be the third derivative of 0 + 1/336*p**8 - 1/24*p**4 + 0*p**6 + 0*p**3 + 3*p**m - 1/30*p**5 + 1/105*p**7 + 0*p. Factor l(y).
y*(y - 1)*(y + 1)**3
Solve l**2 + 8*l - l**2 + 4*l**3 + 12*l**2 + 0*l = 0.
-2, -1, 0
Let p(i) be the second derivative of 0 + 0*i**3 - 3/2*i**2 + 0*i**4 - i + 1/210*i**5. Let k(z) be the first derivative of p(z). Factor k(m).
2*m**2/7
Let f(q) be the first derivative of -q**6/6 + 3*q**5/5 - q**4/2 - 2*q**3/3 + 3*q**2/2 - q + 9. Determine j so that f(j) = 0.
-1, 1
Suppose -w = -0*w + 5*a - 13, 11 = 3*w + a. Let j be -3*1/((-9)/6). Factor -2/3 + 10/3*s + 8/3*s**w - 16/3*s**j.
2*(s - 1)*(2*s - 1)**2/3
Suppose 1 = -w + 3*g + 2, 9 = -3*w + 3*g. Let q = 7 + w. Factor 5 + 2*t**q - 5.
2*t**2
Let w(j) be the second derivative of 1/12*j**3 + j + 1/24*j**4 + 0 - 1/2*j**2. Find g, given that w(g) = 0.
-2, 1
Let h be 3*1*98/7. Find t, given that -h + 4*t - 2*t**3 + 2*t**2 + 42 = 0.
-1, 0, 2
Let v(s) be the first derivative of -s**4/28 + 8*s**3/21 - 8*s**2/7 - 55. Factor v(r).
-r*(r - 4)**2/7
Let p be (1*4/(-2))/(-7). Suppose 5*k = -n - 2*n + 6, -2*k + 6 = 3*n. Factor -p*m**n - 2/7*m + 4/7.
-2*(m - 1)*(m + 2)/7
Let p(u) = u + 1. Suppose 0 = -y + 2, -2*q + 4 = 2*y + y. Let i be p(q). Factor -2*r**2 + i*r**2 - 2*r + r**3 + 3*r.
r*(r - 1)**2
Let i(r) be the first derivative of r**5 + 17*r**4/4 + 7*r**3 + 11*r**2/2 + 2*r - 6. Determine m so that i(m) = 0.
-1, -2/5
Let 2/3*w**2 + 50/3 + 20/3*w = 0. What is w?
-5
Suppose 0 = 13*r + 30 - 30. Determine j so that -2/3*j**4 + 0*j + 0 + 0*j**2 + r*j**3 = 0.
0
Suppose -2*l + 5*t - 26 = -4*l, 11 = -3*l + 5*t. Let j be ((-3)/(-9))/(l/2). Factor 0 - j*k**2 + 2/9*k.
-2*k*(k - 1)/9
Factor -1/5*c**4 + 0*c**3 + 3/5*c**2 + 0 - 2/5*c.
-c*(c - 1)**2*(c + 2)/5
Suppose q + q - 4 = 0. Let y be (-30)/(-4) + 1/q. Factor -j**5 + 2*j**3 - 5*j**2 + y*j**2 - 5*j**2 - j**5 + 2*j**4.
-2*j**2*(j - 1)**2*(j + 1)
Let l be (65/30)/(-13)*-2. Factor -2/3 + 7/3*q**2 - l*q + 2*q**3.
(q + 1)*(2*q - 1)*(3*q + 2)/3
Let -40*l**2 + 117*l**2 - 45 - 35*l**2 - 37*l**2 = 0. Calculate l.
-3, 3
Let h(z) be the first derivative of 2*z + 1/2*z**2 - 1/3*z**3 - 4. Solve h(b) = 0 for b.
-1, 2
Let w(p) be the second derivative of -p**4/3 + 2*p**3 + 8*p**2 - 3*p. Factor w(d).
-4*(d - 4)*(d + 1)
Let v be 7/4 + 2/8. Suppose -1/2*l + 0 + 0*l**3 - 2*l**4 + 3/2*l**v = 0. Calculate l.
-1, 0, 1/2
Let o be ((-6)/16)/((5/(-20))/1). Let h(a) be the first derivative of o*a**2 - a - 3/4*a**3 + 1. Let h(w) = 0. Calculate w.
2/3
Let d(y) = -4*y**3 + 12*y**2 + 16. Let x(o) = 0 - o - 4 + 3. Let v(f) = -d(f) - 12*x(f). Factor v(h).
4*(h - 1)**3
Suppose -2/3*u**3 + 0 - 10/9*u**2 - 2/9*u + 8/9*u**5 + 10/9*u**4 = 0. Calculate u.
-1, -1/4, 0, 1
Let w(d) be the third derivative of -1/12*d**4 + 2/9*d**3 + 0*d + 1/90*d**5 + 0 - 9*d**2. Determine t so that w(t) = 0.
1, 2
Let k(w) be the second derivative of -w**6/225 - w**5/75 + w**4/90 + 2*w**3/45 + 4*w. Let k(v) = 0. Calculate v.
-2, -1, 0, 1
Let n be ((-1)/2)/(1/(-10)). Let s(w) be the third derivative of 1/16*w**4 + 0*w + 1/240*w**6 - 1/12*w**3 + w**2 + 0 - 1/40*w**n. Factor s(i).
(i - 1)**3/2
Let p(c) be the third derivative of 8*c**2 + 0*c**3 + 4/135*c**5 - 19/540*c**6 + 1/27*c**4 + 0 + 1/135*c**7 + 0*c. Let p(h) = 0. What is h?
-2/7, 0, 1, 2
Suppose 6*l**3 - 8*l + 4*l - 2*l**4 - 6*l**2 + 6*l = 0. Calculate l.
0, 1
Suppose -q = 5*q + 60. Let c = q - -14. Let 6 + 2/3*n**2 + c*n = 0. What is n?
-3
Let h be 3/21 + 26/14. Let n be h/4 - 15/(-6). Find y such that -14/11*y**2 - 2/11*y + 12/11*y**n + 4/11 = 0.
-1/2, 2/3, 1
Suppose 2*z = 7*z. Let y(x) = -4*x - 1. Let s be y(-1). Factor -1 + 4*l - l**2 - s + z.
-(l - 2)**2
Let u(g) be the third derivative of 0 + 1/45*g**4 - 2*g**2 + 4/525*g**7 + 0*g - 2/75*g**5 + 1/180*g**6 + 0*g**3 - 1/280*g**8. Find k such that u(k) = 0.
-1, 0, 2/3, 1
Let z(o) = -2*o - 20. Let m be z(-10). Let g be (-3)/((15/(-2))/5). Factor 2/5*f**3 - 2/5*f + m*f**g + 0.
2*f*(f - 1)*(f + 1)/5
Suppose 0 = -5*z + 7 - 7. Let k(u) be the first derivative of 1/6*u**3 - 2 + z*u**2 - 1/2*u. Factor k(x).
(x - 1)*(x + 1)/2
Let b be -5*(2 - 4) - 1. Suppose 11 + b = 5*u. Determine a, given that -2*a**2 + 2*a**2 - 3*a**4 + a**u + 2*a**2 = 0.
-1, 0, 1
Let q(a) be the second derivative of 2*a**7/21 - 2*a**5/5 + 2*a**3/3 + 17*a. Factor q(l).
4*l*(l - 1)**2*(l + 1)**2
Suppose 4*h**3 + 2*h - 7*h**3 + h**3 - 2*h**4 + 4*h**4 - 2*h**2 = 0. What is h?
-1, 0, 1
Let r(b) = 2*b**4 - 15*b**3 + 15*b**2 + 7*b - 7. Suppose 6*k - 2*k = -28. Let w(o) = -o**4 + 8*o**3 - 8*o**2 - 4*o + 4. Let d(a) = k*w(a) - 4*r(a). Factor d(v).
-v**2*(v - 2)**2
Factor -4*v**3 + 14*v**3 + 12 - 7*v**3 - 12*v**2 + 3*v - 6*v**3.
-3*(v - 1)*(v + 1)*(v + 4)
Suppose -b - 33 = -4*b. Let h(p) = 6*p**3 - 47*p**2 + 83*p - 59. Let o(r) = -2*r**3 + 16*r**2 - 28*r + 20. Let c(a) = b*o(a) + 4*h(a). Factor c(s).
2*(s - 2)**3
Let q = 32 + -7. Suppose 5*h - 2*h - 2*u = 0, -5*h - 5*u = -q. Factor g**2 - 2*g**h + 1 + 1 - g.
-(g - 1)*(g + 2)
Determine v so that 16/3 + 2/3*v**5 - 8*v - 4/3*v**2 + 22/3*v**3 - 4*v**4 = 0.
-1, 1, 2
Let o = 1 - 7. Let g(v) = -77*v**3 + 71*v**2 - 15*v - 3. Let a(r) = -38*r**3 + 35*r**2 - 8*r - 1. Let t(w) = o*g(w) + 15*a(w). Let t(q) = 0. Calculate q.
1/4, 1/3
Let w be (-2)/(-7) - (6 + -6). Let x(r) be the second derivative of -w*r**2 + r + 1/42*r**4 + 0 - 1/21*r**3. Factor x(l).
2*(l - 2)*(l + 1)/7
Let d(j) be the second derivative of 0*j**2 + 6*j + 1/60*j**6 + 1/40*j**5 - 1/24*j**4 + 0*j**3 + 0 - 1/84*j**7. Factor d(a).
-a**2*(a - 1)**2*(a + 1)/2
Let u(o) be the third derivative of -o**5/30 - o**4/6 + o**3 - 3*o**2. Factor u(h).
-2*(h - 1)*(h + 3)
Let l(r) be the third derivative of -r**7/210 + r**6/120 + r**5/60 - r**4/24 + 11*r**2. Factor l(o).
-o*(o - 1)**2*(o + 1)
Suppose -4*z = -0*z + 16, -d + z = 8. Let b be (-24)/d + 0 + 1. Factor -1/4*f**4 - 3/4*f**2 + 1/4*f + 3/4*f**b + 0.
-f*(f - 1)**3/4
Let v be ((-8)/12)/(1/(-6)). Let f(r) be the third derivative of 0*r**v + 1/120*r**5 - 2*r**2 + 0*r - 1/240*r**6 + 0 + 0*r**3. Let f(w) = 0. What is w?
0, 1
Let u = -176/3 - -62. Find z, given that 14/3*z**3 - u*z**5 + 23/3*z**2 - 4/3*z - 4/3 - 19/3*z**4 = 0.
-2, -1, -2/5, 1/2, 1
Let c = -139/3660 - -10/183. Let i(a) be the third derivative of -c*a**6 + 0 + 4/3*a**3 + 0*a**4 - 1/10*a**5 + 0*a - a**2. Find p such that i(p) = 0.
-2, 1
Suppose -4*r + 164 = -3*t, -2*t = -0*t - r + 101. Let c be 6/(-4)*t/9. Factor -c*w**2 - 6*w**2 + w + w**5 - 4*w**4 + 6*w**3 + 10*w**2.
w*(w - 1)**4
Let x(s) = -s**3 + 2*s**2 + 2*s - 2. Suppose -3*m + 5*m - 8 = 0. Let c(q) = -2*q**3 + 2*q**2 + 3*q - 3. Let n(o) = m*c(o) - 6*x(o). What is k in n(k) = 0?
-2, 0
Factor 1/2*y**2 + 0 - 1/2*y**3 + y.
-y*(y - 2)*(y + 1)/2
Suppose -4*w + 3 = 19. Let o(x) = -2*x - 5. Let k be o(w). Factor -k*g**3 - g**2 + g**3 - 3*g**4 - g**5 - g**3.
-g**2*(g + 1)**3
Let g(w) be the second derivative of -1/90*w**5 + 0*w**3 - 1/189*w**7 + 0*w**2 + 2/135*w**6 + 0 + 0*w**4 + 8*w. Determine n so that g(n) = 0.
0, 1
Let i(y) be the second derivative of -y**8/840 - y**7/105 - y**6/30 - y**5/15 - y**4/12 + y**3/3 - y. Let v(p) be the second derivative of i(p). Factor v(z).
-2*(z + 1)**4
Let n be (-12)/(-63)*(2 + 5/(-6)). Let n*p**2 + 0 - 4/9*p = 0. Calculate p.
0, 2
Let a(n) = -5*n**3 + 2*n**2 - 1. Let z be a(-1). Let 2*g**3 - 3*g**3 - z + 9*g - 2*g**3 = 0. Calculate g.
-2, 1
Factor l**4 - 9*l**3 + 0*l**2 - l**2 + 6*l**3 - l**5 + 4*l**3.
-l**2*(l - 1)**2*(l + 1)
Let p = 415 - 415. Solve -2/5*z**4 + 4/5*z**2 - 2/5*z**3 + 0 + p*z = 0 for z.
-2, 0, 1
Suppose 3*w - 6*w + 18 = 0. Let h = 8 - w. Factor 8/5*y**4 + 6/5*y**5 - 4/5*y**h + 0*y + 0 - 2/5*y**3.
2*y**2*(y + 1)**2*(3