or z(w).
4*(w - 1)*(w + 6)
Let a = -139 - -139. Let t(g) be the second derivative of -4*g + a - 1/14*g**4 + 0*g**2 + 1/14*g**5 - 2/21*g**3. Let t(l) = 0. Calculate l.
-2/5, 0, 1
Suppose -2*m - w - 1 = 0, 0 = -2*m + 3*w + 12 - 9. Factor -2/7*x**2 - 2/7*x**5 + 2/7*x**4 + 2/7*x**3 + 0*x + m.
-2*x**2*(x - 1)**2*(x + 1)/7
Let c(f) be the third derivative of f**4/24 - 4*f**2. Let q(u) = -3*u**3 + 15*u + 6. Let v(a) = 6*c(a) - q(a). Solve v(o) = 0.
-1, 2
Let s(f) be the second derivative of f**6/30 + 7*f**5/20 + 4*f**4/3 + 2*f**3 + 2*f - 10. Solve s(l) = 0 for l.
-3, -2, 0
Let t = 7 - 4. Suppose h + 2*h + 9 = t*f, -5*f = 5*h - 15. Factor 13*s**4 - 12*s + 11*s**4 - 4*s**f + 14*s + 18*s**5 - 8*s**2.
2*s*(s + 1)**2*(3*s - 1)**2
Let y(v) be the second derivative of v**4/28 - 3*v**3/7 + 27*v**2/14 - 8*v. Factor y(m).
3*(m - 3)**2/7
Let y(c) be the first derivative of -119/2*c**4 - 98/5*c**5 + 44*c**2 - 12*c**3 - 16*c - 4. Solve y(x) = 0.
-2, -1, 2/7
Determine o, given that 2/3*o**3 - 2/3 + 2/3*o**2 - 2/3*o = 0.
-1, 1
Let g(s) be the first derivative of 1/10*s**4 + 4/15*s**3 + 0*s - 2 + 1/5*s**2. Factor g(u).
2*u*(u + 1)**2/5
Factor -d - 2*d**3 + 2*d**5 + 2*d**5 + 2*d - 3*d**5.
d*(d - 1)**2*(d + 1)**2
Let u be (3 - -7) + 2/(-2). Suppose -3*g + u + 0 = 0. Factor -4*b**2 + g*b**2 + 4*b - b**2.
-2*b*(b - 2)
Let t(q) be the first derivative of 2/3*q**3 + 0*q**2 - 3 - 2*q. Determine w, given that t(w) = 0.
-1, 1
Let s = 32 - 30. Let f(i) be the second derivative of -1/5*i**5 + 2*i**s - 1/30*i**6 - 1/4*i**4 + 0 - 2*i + 2/3*i**3. Factor f(p).
-(p - 1)*(p + 1)*(p + 2)**2
Let f(q) be the third derivative of q**6/30 - 2*q**5/15 + q**4/6 + 5*q**2. Suppose f(r) = 0. Calculate r.
0, 1
Let l = -43/3 - -15. Find b such that 2/3*b**3 - l*b**2 - 4/3*b + 0 = 0.
-1, 0, 2
Determine l so that 5/4*l - 5/4*l**3 + 1/2*l**2 - 1/2 = 0.
-1, 2/5, 1
Let -2*u**3 + 25*u**4 - 20*u**2 - 3*u - 60*u**5 - 27*u + 92*u**3 - 5 = 0. Calculate u.
-1, -1/3, -1/4, 1
Let c be ((-4)/42)/((-54)/42). Let f(u) be the first derivative of 2/9*u + 1/18*u**4 + 1 - 1/9*u**2 - c*u**3. Suppose f(o) = 0. What is o?
-1, 1
Suppose -5*l + 0*u + 4*u = -22, -2*l + 5*u = -2. Suppose l = -4*x + 7*x. Factor -4/11 - 2/11*p**x - 6/11*p.
-2*(p + 1)*(p + 2)/11
Let h(v) = -v + 1. Let t(z) = -6*z**2 - 23*z + 1. Let c(d) = 4*h(d) - t(d). Factor c(w).
(w + 3)*(6*w + 1)
Factor 2/3 - 2*d + 5/6*d**2.
(d - 2)*(5*d - 2)/6
Let k(m) = -m**3 + 3*m**2 - 3*m + 2. Let g be k(2). Let o be g - (6 - 2)/(-1). Let 1/6*v**5 + 0 + 0*v + 0*v**3 + 1/6*v**o + 0*v**2 = 0. What is v?
-1, 0
Suppose 2*z - 12 = -r - r, 0 = 2*r - 3*z + 3. Factor 5 - 4 - 6*j**r - 1 + 4*j**2 + 2*j.
-2*j*(j - 1)*(3*j + 1)
Let a = -5 + 7. Suppose -x**2 - 1 + 0*x + 0 - a*x + 0 = 0. What is x?
-1
Let r(c) be the first derivative of 3/4*c**4 - 3*c**2 + 0*c - c**3 - 4. Factor r(s).
3*s*(s - 2)*(s + 1)
Let w + 6*w**4 + 3*w**3 + 17*w**2 - 23*w**2 - 4*w = 0. Calculate w.
-1, -1/2, 0, 1
Let r(a) be the first derivative of -125*a**6/18 + 20*a**5/3 + 20*a**4 + 112*a**3/9 + 8*a**2/3 + 25. Determine p, given that r(p) = 0.
-2/5, 0, 2
Suppose -576 + 701 + 5*k**2 - 9*k - 41*k = 0. Calculate k.
5
Solve 0*c - 1/4*c**3 - 1/2*c**4 + 0*c**2 - 1/4*c**5 + 0 = 0 for c.
-1, 0
Let z = 1/52 - -1/117. Let a(q) be the second derivative of -1/60*q**5 + 0*q**2 + 0 + 1/9*q**3 - q - z*q**4. Factor a(w).
-w*(w - 1)*(w + 2)/3
Factor 0 - r**2 + r**3 - 1/3*r**4 + 1/3*r.
-r*(r - 1)**3/3
Let u(w) = -w**2 - 6*w + 9. Let q be u(-7). Let g be 1/3*(2 - -4). Suppose -2 - 3*r**q + r**g + 4*r**2 = 0. What is r?
-1, 1
Let m(n) = 180*n**5 - 243*n**4 + 65*n**3 - 2*n**2 - 3. Let d(j) = j**4 - j**2 + 1. Let o(l) = -3*d(l) - m(l). Factor o(c).
-5*c**2*(c - 1)*(6*c - 1)**2
Factor 22 + 14*z**4 - 72*z**3 - 7*z**5 - 4*z**3 - 25*z - 61*z + 124*z**2 + 9*z**5.
2*(z - 1)**4*(z + 11)
Let m(j) = 4*j**2 + 104*j + 686. Let t(z) = 10*z**2 + 260*z + 1714. Let k(p) = 12*m(p) - 5*t(p). Factor k(r).
-2*(r + 13)**2
Let s(m) be the third derivative of 0*m - 7*m**2 + 1/5*m**4 - 2/5*m**3 + 3/100*m**5 + 0 - 9/200*m**6. Let s(u) = 0. What is u?
-1, 2/3
Let 2/7*n + 2/7*n**2 - 4/7 = 0. What is n?
-2, 1
Let s(c) be the first derivative of 2*c**3/33 - 8*c/11 + 1. Find d such that s(d) = 0.
-2, 2
Suppose 0*z = 4*z + 16. Let x = z - -6. Determine h so that -h**4 + 4*h**3 - h**2 - x*h**3 + 0*h**2 = 0.
0, 1
Suppose -22*u - 3*u = 0. Solve -1/4*y**3 - 1/4*y**2 + 0*y + 1/4*y**4 + u + 1/4*y**5 = 0.
-1, 0, 1
Factor -3 - 250*l - 3*l**2 + 11 + 28 + 262*l.
-3*(l - 6)*(l + 2)
Let i(l) = 5*l**2 - l**2 + 0 - 2*l**2 - l - 1. Let t be i(-1). Solve 0*y - 1/3 + 1/3*y**t = 0.
-1, 1
Let j(z) be the second derivative of 3*z**5/20 + z**4/4 - 27*z. What is b in j(b) = 0?
-1, 0
Let v be ((-14)/4)/7 - (-12)/16. Factor 1/4*q**3 - v*q + 1/4*q**2 - 1/4*q**4 + 0.
-q*(q - 1)**2*(q + 1)/4
Let g(y) be the second derivative of -y**7/630 - y**6/60 - y**5/15 - y**4/6 - 2*y. Let c(b) be the third derivative of g(b). Determine w so that c(w) = 0.
-2, -1
Suppose 0*o + 2*o - o = 0. Factor o*f + 2/7*f**2 - 2/7*f**3 + 0.
-2*f**2*(f - 1)/7
Let v = 1 + 1. Let m be 2/3 + (v - 0). Factor -2/3*u**4 - 2/3 + 8/3*u**3 + m*u - 4*u**2.
-2*(u - 1)**4/3
Let k be -192 - -2*3/(-3). Let n = -1356/7 - k. Let 2/7*x**3 + n*x + 0 + 4/7*x**2 = 0. What is x?
-1, 0
Let u(d) be the first derivative of 4*d**5/5 + 6*d**4 + 32*d**3/3 - 12*d**2 - 36*d - 20. Factor u(c).
4*(c - 1)*(c + 1)*(c + 3)**2
Let a(d) = -55*d**3 + 55*d**3 + 1 - 2 - d**4. Let j(c) = 3*c**4 + 6*c**3 - 3*c**2 + 6. Let o(s) = -6*a(s) - j(s). Suppose o(f) = 0. What is f?
0, 1
Let -200/7 - 2/7*k**2 + 40/7*k = 0. Calculate k.
10
Factor 4/7*k + 0 - 10/7*k**2.
-2*k*(5*k - 2)/7
Let b = 9 - 1. Let z(u) = u**2 - 19*u + 18. Let c(n) = -n**2 + 13*n - 12. Let i(o) = b*c(o) + 5*z(o). Suppose i(h) = 0. What is h?
1, 2
Let f(n) be the first derivative of -2 - 2/15*n**3 + 4/5*n - 1/5*n**2. Factor f(g).
-2*(g - 1)*(g + 2)/5
Let t(i) be the second derivative of -2*i**6/15 + i**4 + 4*i**3/3 - 3*i. Factor t(u).
-4*u*(u - 2)*(u + 1)**2
Let c(a) be the second derivative of a**5/4 - 5*a**3/6 - 6*a. Solve c(z) = 0 for z.
-1, 0, 1
Let q be (4/5)/(1/5). Let s(x) = 2*x**3 - 3*x**2 + 4*x**3 - 5*x + q*x**3 - 2*x. Let v(d) = -3*d**3 + d**2 + 2*d. Let c(a) = 2*s(a) + 7*v(a). Factor c(y).
-y**2*(y - 1)
Let f = -6 + 9. Let m(l) be the first derivative of -f + 4*l**2 + 2/3*l**3 + 8*l. Find n such that m(n) = 0.
-2
Let r(j) be the third derivative of 1/280*j**7 + 0 - 1/448*j**8 - 2*j**2 + 1/160*j**6 + 0*j**4 + 0*j**3 - 1/80*j**5 + 0*j. Find g, given that r(g) = 0.
-1, 0, 1
Factor -10*o + 4*o**4 + 5*o**2 - 4*o**4 - 20*o**2 + 5*o**4.
5*o*(o - 2)*(o + 1)**2
Suppose -14*v = -17*v. Let n(p) be the first derivative of -1/2*p**2 - 1/3*p**3 + v*p - 1 + 1/5*p**5 + 1/4*p**4. Factor n(q).
q*(q - 1)*(q + 1)**2
Let u(j) = -8*j**4 - 12*j**3 + j**2 + 5*j. Let q(v) = -v**4 + v**2 - v - 1. Let a(h) = q(h) + u(h). Find w such that a(w) = 0.
-1, 1/3
Determine k, given that 2*k**4 - k**4 + 244*k**3 - 245*k**3 = 0.
0, 1
Suppose -6*f + 0 = -12. Find u, given that 1/2*u**3 + 0*u + 1/2*u**f + 0 = 0.
-1, 0
Let i(k) be the second derivative of 6*k + 1/8*k**4 + 12*k**2 + 0 + 2*k**3. Determine v so that i(v) = 0.
-4
Factor 1/4*v + 1/2 - 1/2*v**2 - 1/4*v**3.
-(v - 1)*(v + 1)*(v + 2)/4
Let c = 2878/21 + -137. Let t(p) be the first derivative of -2/21*p**3 - c*p**6 - 1 + 5/14*p**4 - 8/7*p**2 - 8/7*p + 2/35*p**5. Factor t(j).
-2*(j - 2)**2*(j + 1)**3/7
Let r(h) be the second derivative of -1/9*h**4 + 6*h - 2/21*h**7 - 1/15*h**5 + 0 + 0*h**3 + 0*h**2 + 2/9*h**6. Solve r(v) = 0 for v.
-1/3, 0, 1
Let l(h) = h**2 - 5*h + 5. Let p be l(5). Suppose 0*w**2 - w - p*w**2 - 2*w**3 - 2*w**3 = 0. What is w?
-1, -1/4, 0
Let q(z) be the second derivative of -z**4/6 - 8*z**3/9 - 16*z**2/9 - 11*z. Factor q(w).
-2*(3*w + 4)**2/9
Let p(n) be the second derivative of -n**7/2940 - n**6/630 + n**3/3 + 7*n. Let m(q) be the second derivative of p(q). Solve m(t) = 0 for t.
-2, 0
Let o(c) be the first derivative of 2*c**3/15 + 6*c**2/5 + 18*c/5 + 4. Let o(f) = 0. Calculate f.
-3
Factor 9/4*o**2 - 3/8*o**3 + 3 - 9/2*o.
-3*(o - 2)**3/8
Let o = 10 + -14. Let s be (19/(-18) - -1)*o. Determine r, given that s*r**2 + 2/9 - 4/9*r = 0.
1
Let f(w) be the third derivative of 1/15*w**5 + 0*w**3 - 1/60*w**6 - 2/105*w**7 + 4*w**2 + 0 + 1/12*w**4