. Suppose z(p) = 0. Calculate p.
-1, 1
Let t(k) = k - 8. Let l be t(8). Suppose 0*y + y = l. Solve y - 2/5*o + 8/5*o**2 = 0.
0, 1/4
Let f(q) = q**2 - 2. Let g be f(-2). Factor 0*a + 4*a**3 + 2*a - 4*a**g - a.
a*(2*a - 1)**2
Suppose -21 + 13 = -4*v. Let j(r) = -r**3 + 6*r**2 + 3. Let p be j(6). Find u such that 18/7*u + 24/7*u**v + 4/7 + 10/7*u**p = 0.
-1, -2/5
Let d(k) be the first derivative of -1 + 0*k - 3/2*k**2 + 7/90*k**5 - 5/36*k**4 - 2/9*k**3. Let v(t) be the second derivative of d(t). Factor v(h).
2*(h - 1)*(7*h + 2)/3
Let z(y) be the second derivative of 1/12*y**4 + 1/3*y**3 + 0*y**2 + 0 + 9*y. Find w such that z(w) = 0.
-2, 0
Let s(k) = 3*k + 8 - 3*k + k. Let g be s(-6). Factor -b**3 + 2*b**3 + 2*b + b**2 - g*b**3.
-b*(b - 2)*(b + 1)
Suppose -2*z = -10, z - 1 = -3*n + 4. Suppose 1 = -b + 5. Factor -1/4*u**3 + 0 + n*u - 1/4*u**2 + 1/4*u**b + 1/4*u**5.
u**2*(u - 1)*(u + 1)**2/4
Suppose -4 = -4*h + 4. Factor 0*x**h + 2*x**2 + x**3 - 2*x**3.
-x**2*(x - 2)
Let s(g) be the third derivative of g**5/36 - 5*g**4/72 - 7*g**2. Let s(k) = 0. What is k?
0, 1
Let u(j) = -3*j**3 - 15*j**2 - 3*j - 7. Let w(n) = -2*n**3 - 8*n**2 - 2*n - 4. Let v(t) = 4*u(t) - 7*w(t). Let v(g) = 0. What is g?
0, 1
Let v(n) be the first derivative of 2/3*n**2 + 2/15*n**5 - 1/3*n**4 + 0*n**3 - 1 - 2/3*n. Factor v(y).
2*(y - 1)**3*(y + 1)/3
Let b(q) be the first derivative of -1/30*q**5 - 2 + 0*q - 1/12*q**4 + 0*q**3 - q**2. Let a(f) be the second derivative of b(f). Factor a(g).
-2*g*(g + 1)
Let p = 329/2 - 164. Factor -1/2*f**4 + 1/2*f**2 - p*f + 0 + 1/2*f**3.
-f*(f - 1)**2*(f + 1)/2
Let j(o) = -o**3 + 8*o**2 - 9*o + 16. Let u be j(7). Let t(n) be the first derivative of -4/3*n**3 + 0*n + n**2 + 1/2*n**4 - u. Factor t(f).
2*f*(f - 1)**2
Let z(p) be the second derivative of 1/3*p**4 + 0*p**2 - 4*p + 1/10*p**5 - 1/15*p**6 + 0*p**3 + 0. Factor z(g).
-2*g**2*(g - 2)*(g + 1)
Solve -2/3 + 2/3*o**2 - 1/3*o**3 + 1/3*o = 0 for o.
-1, 1, 2
Let o(k) = 3*k**3 + 3*k**2 + 5*k + 5. Let s(p) = -6*p**2 - 2 - 6*p - 4*p**3 + 3*p**2 - p**2 - 4. Let l(i) = 5*o(i) + 4*s(i). Factor l(r).
-(r - 1)*(r + 1)**2
Let i = 90 - 86. Let g(c) be the first derivative of -1 + 0*c**2 + 2*c**3 - 3/4*c**i + 0*c - 9/5*c**5. Find v such that g(v) = 0.
-1, 0, 2/3
Let a = 11/40 + 1/8. Factor 4/5*p**2 + 0*p + 0 + a*p**3.
2*p**2*(p + 2)/5
Let w = -23 + 208/9. Let t(k) be the first derivative of -1/6*k**4 + 2 + 0*k - 1/15*k**5 + 0*k**2 - w*k**3. Find l, given that t(l) = 0.
-1, 0
Let u be 8/9*39/52. Solve -2/3*w**5 + u*w**3 + 0*w + 0*w**2 + 0 + 0*w**4 = 0 for w.
-1, 0, 1
Let s(x) be the first derivative of -x**5/3 - 5*x**4/3 - 10*x**3/3 - 10*x**2/3 - 5*x/3 + 7. Let s(c) = 0. What is c?
-1
Factor 0 + 2/11*n + 36/11*n**3 + 18/11*n**2.
2*n*(3*n + 1)*(6*n + 1)/11
Let t(y) = -15*y**4 - 3*y**3 + 15*y**2 + 7*y. Let z(f) = 405*f**4 + 80*f**3 - 405*f**2 - 190*f. Let x(g) = 55*t(g) + 2*z(g). Factor x(c).
-5*c*(c - 1)*(c + 1)*(3*c + 1)
Let y(w) = w**2 + 5*w - 7. Let r(f) = -1. Let s(u) = 2*r(u) - y(u). Let t(v) = -v**2 - 6*v + 6. Let m(o) = 6*s(o) - 5*t(o). Factor m(n).
-n**2
Factor -72/5*m + 87/5*m**2 + 12/5 - 27/5*m**3.
-3*(m - 2)*(m - 1)*(9*m - 2)/5
Let f(y) be the third derivative of y**5/30 + 5*y**4/6 + 25*y**3/3 - 5*y**2. Factor f(k).
2*(k + 5)**2
Factor -12*l**4 + 9*l**4 - 192*l**2 + 10*l**3 - 58*l**3.
-3*l**2*(l + 8)**2
Let i = 49 - 24. What is l in l**3 - 28*l**2 - 4*l**3 + i*l**2 = 0?
-1, 0
Let b(q) = q. Let f be b(0). Suppose -4*u = -f*u. Determine r so that 0*r + u*r**2 + 1/4*r**3 + 0 = 0.
0
Let q(r) be the second derivative of 2*r**6/5 - 6*r**5/5 + r**4/4 + 3*r**3/2 - 2*r. Find o such that q(o) = 0.
-1/2, 0, 1, 3/2
Suppose -l - 137 - 119 = 0. Let y be (l/20)/(-4) + -3. Factor 0*f - 2/5*f**3 - 7/5*f**4 + y*f**2 + 0 - 4/5*f**5.
-f**2*(f + 1)**2*(4*f - 1)/5
Suppose -6*s + 2*s = -12. Determine d so that -3*d**2 - 20*d**s - 22*d**4 - 13*d**3 - 5*d**5 - 17*d**2 - 4*d = 0.
-2, -1, -2/5, 0
Let t(b) be the first derivative of b**6/30 - 7*b**5/25 + 9*b**4/10 - 4*b**3/3 + 4*b**2/5 + 4. Solve t(f) = 0 for f.
0, 1, 2
Let t(k) be the third derivative of 0*k + 1/32*k**4 - 1/60*k**5 + 5*k**2 + 1/24*k**3 + 0. Factor t(y).
-(y - 1)*(4*y + 1)/4
Let m(v) = 8*v**2 + 3*v - 8. Let b(w) = 17*w**2 + 6*w - 17. Let o(a) = 6*b(a) - 13*m(a). Suppose o(g) = 0. What is g?
-2, 1/2
Let b = 3 + -1. Find f, given that -10*f - 2*f**b - 5*f**2 - 4*f**2 + 3*f - 5*f**3 - 1 = 0.
-1, -1/5
Let c = 16 + -8. Let q = c - 2. Find j such that -6*j + 0 + q*j**3 - 8*j**3 + 2 + 6*j**2 = 0.
1
Let y = -152/15 + 161/20. Let b = -3/4 - y. Factor -14/3*k**3 + 0 + b*k - 10/3*k**2.
-2*k*(k + 1)*(7*k - 2)/3
Let w(g) = -g**2 - 6*g - 6. Let j = -17 - -14. Let u be w(j). Let 0*t - 4/5*t**u - 6/5*t**4 + 0 + 2/5*t**2 = 0. What is t?
-1, 0, 1/3
Let z(r) be the second derivative of -1/84*r**4 - 3/2*r**2 + 0*r**3 + 0 + 3*r - 1/210*r**5. Let g(i) be the first derivative of z(i). Factor g(v).
-2*v*(v + 1)/7
Let q(s) = s**4 - s**3 - s. Let j(m) = -3*m**4 + 3*m**3 + 16*m**2 - 17*m. Let o(h) = j(h) - q(h). Factor o(u).
-4*u*(u - 2)*(u - 1)*(u + 2)
Let h be 2/(-1*4/(-46)). Suppose -2*d + 20 = -d - 5*r, 4*d - r - h = 0. Determine l, given that 0 + l**d + 0*l**4 + 1/4*l**2 + 0*l - 3/4*l**3 = 0.
-1, 0, 1/2
Let z(i) = -23*i + 23. Let s be z(1). Determine k, given that s*k**2 + 0*k - 2/3*k**3 + 0 - 2/3*k**4 = 0.
-1, 0
Let c(m) be the third derivative of 1/72*m**4 + 0 - 3*m**2 + 0*m**3 + 0*m - 1/630*m**7 - 1/60*m**5 + 1/120*m**6. Factor c(y).
-y*(y - 1)**3/3
Suppose 31 = z - 13. Suppose -3*g - x = -28, 5*g + x + 2*x - z = 0. Suppose j**3 + 2*j**4 - j - 9*j**2 - 3*j**4 + g*j**2 = 0. Calculate j.
-1, 0, 1
Let q be 28/(-50) + 2/5. Let o = q - -62/75. Suppose -2*x + o*x**2 + 4/3 = 0. Calculate x.
1, 2
Let f(x) = x + 1. Let r be f(-5). Let i = 7 + r. Solve 2*c + i*c - 2*c**3 - 4*c**2 - 7*c = 0 for c.
-1, 0
Let u = -47/6 - -17/2. Let 0 - 2/3*p**2 + u*p**3 + 0*p = 0. What is p?
0, 1
Let r = -1199/6 - -201. Let c(t) be the first derivative of -1/2*t - 2 - r*t**3 + 5/4*t**2 + 3/8*t**4. Let c(g) = 0. What is g?
1/3, 1
Let j(h) be the first derivative of -2*h**3/15 + 2*h**2/5 - 2*h/5 - 3. Factor j(l).
-2*(l - 1)**2/5
Factor -2/7*t**2 - 20/7*t - 18/7.
-2*(t + 1)*(t + 9)/7
Let z(b) be the second derivative of 2*b - 3/4*b**3 - 1/8*b**5 + 0 - 1/2*b**4 - 1/2*b**2. Determine s, given that z(s) = 0.
-1, -2/5
Suppose -2*z = -w - 8, 3*z + 2*w - 3*w - 12 = 0. Let f = -21 - -23. Solve 2/7*c**z + 0 + 0*c - 2/7*c**3 + 0*c**f = 0 for c.
0, 1
Let b(l) be the second derivative of -l**10/30240 + l**8/3360 - l**6/720 - l**4/12 + 8*l. Let q(p) be the third derivative of b(p). Factor q(j).
-j*(j - 1)**2*(j + 1)**2
Let j(o) be the third derivative of 0*o - 1/60*o**5 - 2/3*o**3 + 0 - 8*o**2 + 1/210*o**7 - 1/24*o**6 + 1/3*o**4 + 1/336*o**8. Factor j(f).
(f - 1)**3*(f + 2)**2
Let j(l) be the first derivative of 4 + 1/7*l**4 - 2/35*l**5 + 0*l**2 + 0*l + 0*l**3. Let j(y) = 0. Calculate y.
0, 2
Suppose -6 = -4*x - 3*d, x = -3*x + 3*d + 18. Factor x*w**5 + 9*w**5 + 8*w**4 - 4*w**3 - 9*w**2 + 7*w**4 - 2*w**3.
3*w**2*(w + 1)**2*(4*w - 3)
Let u(r) be the third derivative of r**5/40 + r**4/4 + r**3 + 11*r**2. Factor u(b).
3*(b + 2)**2/2
Let b = -6 + 6. Suppose b*c - 4*c + 16 = 0. Factor 0*g**2 + 0 + 1/2*g**5 + 1/4*g**3 + 0*g - 3/4*g**c.
g**3*(g - 1)*(2*g - 1)/4
Let l be (-11)/(-2) - 27/18. Suppose -l*z + 5*r = 7, 0*z + 20 = 4*z + 4*r. Solve -5*d + 4 + d**z + 7*d - 3*d**2 = 0.
-1, 2
Let n(t) be the first derivative of -t**8/840 + t**6/90 - t**4/12 + 2*t**3/3 - 2. Let y(h) be the third derivative of n(h). Factor y(c).
-2*(c - 1)**2*(c + 1)**2
Let a(z) be the first derivative of 3 + 1/4*z**2 - 7/12*z**3 + 0*z. Factor a(b).
-b*(7*b - 2)/4
Suppose 0 = -4*q + 8. Factor 3 - q*d**3 + 2*d - 5 - 6*d**2 + 2*d**4 + 6.
2*(d - 2)*(d - 1)*(d + 1)**2
Let m(q) be the second derivative of q**6/540 + q**5/180 + q**3/3 + 3*q. Let a(i) be the second derivative of m(i). Factor a(u).
2*u*(u + 1)/3
Suppose p + 5*l + 2 + 3 = 0, -2*p - 5*l = 0. Let m(h) be the third derivative of 0 - h**2 - 5/6*h**4 + 0*h + 2/3*h**3 + 11/60*h**p + 7/24*h**6. Factor m(r).
(r + 1)*(5*r - 2)*(7*r - 2)
Suppose -2*h - 2*h + 8 = 0. Let f(d) be the second derivative of -d + 1/12*d**3 - 1/24*d**4 + 0*d**h + 0. Let f(c) = 0. Calculate c.
0, 1
Let m = -8 + 8. Let i(v) be the f