ch that o(y) = 0.
-1/3, 0
Factor 14/5*u**2 + 2 - 2/5*u**3 - 22/5*u.
-2*(u - 5)*(u - 1)**2/5
Let z(v) be the first derivative of -5*v**4/4 - 7*v**3/3 + 4*v**2 + 4*v - 13. Find c, given that z(c) = 0.
-2, -2/5, 1
Let x be 14/105 - (-1)/5. Let f(c) be the second derivative of 0*c**4 + 1/2*c**2 + x*c**3 - 1/10*c**5 - 1/30*c**6 + 0 - 2*c. Factor f(h).
-(h - 1)*(h + 1)**3
Suppose 18 = o + 5*o. Let d(v) be the first derivative of -3*v**2 - 2/3*v**o - 4*v + 2. What is t in d(t) = 0?
-2, -1
Suppose -13*p + 5*p = 0. Let g(v) be the third derivative of 0*v**4 + 0*v - 1/9*v**3 + 1/90*v**5 + p + 2*v**2. What is l in g(l) = 0?
-1, 1
Let y(i) be the second derivative of -i**5/30 + i**4/18 + i**3 - 3*i**2 + 9*i. Let y(j) = 0. Calculate j.
-3, 1, 3
Suppose 5*l + 11 + 14 = 5*g, 3*g - 14 = 4*l. Suppose r = b + 1 - g, r = -4*b + 10. Find u such that 0 + 2/9*u - 4/9*u**2 - 2/3*u**b = 0.
-1, 0, 1/3
Factor 2/7*o**5 + 0 - 2/7*o - 4/7*o**4 + 4/7*o**2 + 0*o**3.
2*o*(o - 1)**3*(o + 1)/7
Find s, given that -20/7*s**3 + 12/7 + 0*s**2 - 12/7*s**4 + 22/7*s - 2/7*s**5 = 0.
-3, -2, -1, 1
Let h(g) = -14*g**5 - 29*g**4 - 18*g**3 - g**2 - 2*g. Let n(u) = 141*u**5 + 291*u**4 + 180*u**3 + 9*u**2 + 21*u. Let t(c) = -21*h(c) - 2*n(c). Factor t(s).
3*s**2*(s + 1)**2*(4*s + 1)
Let s be (5/35)/(-1) - (-46)/126. Suppose -4/9 + s*q + 2/9*q**2 = 0. Calculate q.
-2, 1
Let f(r) be the third derivative of 0 + 1/120*r**5 - 1/480*r**6 - 1/96*r**4 + 0*r**3 + 0*r + r**2. Factor f(a).
-a*(a - 1)**2/4
Let r be (-4)/(-5)*(-5)/(-1). Let c = 495 - 1483/3. Factor 1/3*a**r - 1/3*a**3 + c + 1/3*a - a**2.
(a - 2)*(a - 1)*(a + 1)**2/3
Let c(n) = n**2 - 12*n - 22. Let j be c(14). Let a(u) be the second derivative of 0 + 2*u + 0*u**2 + 1/24*u**4 - 1/60*u**j + 0*u**3 + 0*u**5. Factor a(r).
-r**2*(r - 1)*(r + 1)/2
Factor 36/5*d**2 - 6/5*d**3 + 3 - 42/5*d - 3/5*d**4.
-3*(d - 1)**3*(d + 5)/5
What is g in -9 - 5 - 6 + 0*g**2 + 15*g**2 - 20*g = 0?
-2/3, 2
Let h = -80 + 80. Let m(y) be the second derivative of -1/6*y**4 + 0*y**2 + h - 2*y + 1/20*y**5 + 1/6*y**3. Suppose m(q) = 0. Calculate q.
0, 1
Let x be -1 - (16/24 - 2). Factor 2/3*n - x*n**2 - 1/3.
-(n - 1)**2/3
Let z(o) = -o**2 - 6*o - 5. Let w be z(-4). Find k such that 5 - 3*k**w - 6 + 2*k**3 + k + k**2 = 0.
-1, 1
Let b(p) = p**2 - 9*p + 3. Let q be b(9). Determine r, given that 0 - 1/2*r**q - r**2 - 1/2*r = 0.
-1, 0
Let -6/5*h**2 - 6/5*h**3 + 0 - 2/5*h**4 - 2/5*h = 0. Calculate h.
-1, 0
Let m(r) = 2*r**2 - 6*r. Let w(b) = b**2 - 4*b. Let f = -2 - -7. Let i(n) = f*m(n) - 8*w(n). Determine o, given that i(o) = 0.
-1, 0
Suppose -3*o + 27 = -3. Suppose 0 = 8*h - 3*h - o. Let z + 0*z + 2*z**h + z = 0. What is z?
-1, 0
Let v be (-2)/(-3) + 52/39. Let 2*r + 3*r + 4 + 2*r + r + 4*r**v = 0. What is r?
-1
Suppose 4 + 4 = 4*x. Let r(n) be the first derivative of 1/9*n**x - 3 + 4/27*n**3 + 0*n + 1/18*n**4. Factor r(j).
2*j*(j + 1)**2/9
Let f(q) be the third derivative of q**8/6720 + q**5/20 - 2*q**2. Let p(t) be the third derivative of f(t). Solve p(d) = 0.
0
Let s be 92/(-20) + (-5)/(-1). Factor s*y**2 + 2/5 - 4/5*y.
2*(y - 1)**2/5
Let l(u) = -5*u - 26. Let c be l(-6). Factor -1/2*i**4 + c*i**3 - 12*i**2 + 16*i - 8.
-(i - 2)**4/2
Let g be 3/9 + -6 + (-12)/(-2). Factor -g*l - 1/3 + 1/3*l**3 + 1/3*l**2.
(l - 1)*(l + 1)**2/3
Let d(o) = -o**3 - 9*o**2 + 16*o + 6. Let w be d(-14). Let i = w + -6850/9. Determine m, given that -i + 56/9*m - 98/9*m**2 = 0.
2/7
Factor -8/7*y - 8/7 + 8/7*y**3 + 6/7*y**2 + 2/7*y**4.
2*(y - 1)*(y + 1)*(y + 2)**2/7
Let j be (2/(-3))/((-10)/6). Let y(g) = -g**3 + 2*g**2 - 1. Let b be y(1). Suppose -8/5*x**2 - 8/5*x**4 - 12/5*x**3 + b - j*x**5 - 2/5*x = 0. What is x?
-1, 0
Let g(y) = y - 5. Let i be 26/4 + 5/10. Let x be g(i). Factor 3*b - b**x - 2*b + 1 + 1.
-(b - 2)*(b + 1)
Let t be (-2)/(-5) - 14/60. Let s(x) be the first derivative of t*x**2 - 1 - 2/3*x + 4/9*x**3 - 1/4*x**4. Suppose s(r) = 0. Calculate r.
-2/3, 1
Let u(v) be the second derivative of 0*v**6 + 0 + 0*v**4 + 0*v**3 + 10*v + 0*v**5 - 1/84*v**7 + 0*v**2. Factor u(a).
-a**5/2
Let q(f) be the third derivative of f**5/450 + f**4/90 + f**3/45 - 2*f**2. Factor q(y).
2*(y + 1)**2/15
Let g(s) = 4*s**4 - 12*s**3 + 16*s**2 - 6*s + 4. Let d(w) = -4*w**4 + 12*w**3 - 15*w**2 + 6*w - 3. Let a(o) = 6*d(o) + 4*g(o). Determine h, given that a(h) = 0.
1/2, 1
Determine g, given that -200*g**2 + 848/3*g - 96 - 12*g**3 = 0.
-18, 2/3
Let c(u) be the second derivative of u**4/12 + u**3/6 + u**2/2 - 4*u. Let a(s) = 7*s**2 + 7*s + 6. Let d(m) = -a(m) + 6*c(m). Factor d(l).
-l*(l + 1)
Factor -7*v**3 - 4*v**3 + 11*v**3 - 6*v**2 - 3*v**3.
-3*v**2*(v + 2)
Let h(v) be the second derivative of -8*v**7/7 + 82*v**6/15 - 13*v**5/5 - 18*v**4 + 40*v**3/3 + 16*v**2 + 26*v. Find k, given that h(k) = 0.
-1, -1/4, 2/3, 2
Let a(f) = 6*f**3 + 8*f**2 + 7*f + 5. Let c(z) = 5*z**3 + 7*z**2 + 6*z + 4. Let w(n) = 4*a(n) - 5*c(n). Factor w(s).
-s*(s + 1)*(s + 2)
Let m be (-1)/2 + 40/192. Let a = m - -5/8. Factor a*w**2 + 0*w + 1/3*w**3 + 0.
w**2*(w + 1)/3
Suppose 10 - 60*w**2 - 19*w + 4*w - 13*w**3 - 22*w**3 = 0. What is w?
-1, 2/7
Suppose y - 1 + 2 = 2*d, -24 = -3*d - 3*y. Suppose 12 = 7*u - d*u. Factor 0 + 11*c**4 - c**5 + 0 - c**u - 13*c**4.
-c**3*(c + 1)**2
Determine u, given that 7*u - 10*u - 54*u - 45*u**3 - 6 - 96*u**2 = 0.
-1, -2/15
Let g(q) be the first derivative of -q**8/8400 + q**6/900 - q**4/120 + 3*q**3 + 3. Let z(k) be the third derivative of g(k). Find a, given that z(a) = 0.
-1, 1
Let t(p) be the first derivative of -3*p**4/22 - 10*p**3/33 - p**2/11 + 2*p/11 - 8. Factor t(i).
-2*(i + 1)**2*(3*i - 1)/11
Suppose -2*c**2 + 4*c**4 + 11*c**4 - 14*c**4 - c**3 = 0. Calculate c.
-1, 0, 2
Factor 21*b**2 + 0*b**4 + 18*b + 5*b**4 - 8*b**4.
-3*b*(b - 3)*(b + 1)*(b + 2)
Let w(f) = -f + 1. Let z(u) = u**2 - 12*u + 9. Let h(k) = 3*w(k) - z(k). Let v be h(7). Factor -140*d**4 + 22*d**2 + 36*d**2 - v*d + 6*d**3 - 98*d**5 - 18*d**2.
-2*d*(d + 1)**2*(7*d - 2)**2
Let p be (28/21)/((-4)/(-54)). Factor 10*g**2 - p*g**3 - 27 + 3*g + 15*g + 3*g**4 + 14*g**2.
3*(g - 3)**2*(g - 1)*(g + 1)
Let d(w) = -3*w**3 - 5*w**2 + 9*w. Suppose 4*p - 11 = 13. Let i(m) = -3*m**3 - 5*m**2 + 8*m. Let u(f) = p*d(f) - 7*i(f). Determine t, given that u(t) = 0.
-2, 0, 1/3
Let q(s) = -4*s**4 - 2*s**3 + s**2 + 5*s + 3. Let f(x) = 4*x**4 + 2*x**3 - 2*x**2 - 4*x - 2. Let a(k) = -3*f(k) - 2*q(k). Factor a(y).
-2*y*(y - 1)*(y + 1)*(2*y + 1)
Let w(r) = -3*r - 1. Let b be w(-1). Factor 1 + 6*k**2 - k**b + 2*k**2 + 3*k**3 + 0*k**3 + 5*k.
(k + 1)**2*(3*k + 1)
Let k be 12/(-24) + (-14)/(-4). Suppose 3*x = -6 - k, 12 = -3*j - 4*x. Determine c so that 0 + 1/2*c**3 + j*c**2 + 0*c**4 - 1/2*c**5 + 0*c = 0.
-1, 0, 1
Let g(s) = -s**2 + s + 1. Let k(x) = -14*x**2 - 54*x - 22. Let h(n) = 6*g(n) + k(n). Suppose h(t) = 0. What is t?
-2, -2/5
Let w(f) = -f**3 - 1. Let j(a) = 2*a**3 + 6*a**2 - 9*a + 7. Let b(o) = -5*j(o) - 15*w(o). Factor b(l).
5*(l - 4)*(l - 1)**2
Let k be 476/441 + 4/(-18). Let p be 6*(9/6 + -1). Suppose -k*y**p + 6/7*y + 4/7 - 4/7*y**2 = 0. Calculate y.
-1, -2/3, 1
Let c be 4/(-6)*15/(-2). Suppose 0 = -c*p + 10 + 10. Factor 0 - 4/9*v**3 + 10/9*v**p + 0*v + 0*v**2 + 14/9*v**5.
2*v**3*(v + 1)*(7*v - 2)/9
Let u(f) = 4*f**3 + 10*f - 14. Let c(h) = -h**3 - 2*h + 3. Let x(d) = -28*c(d) - 6*u(d). Determine k, given that x(k) = 0.
-1, 0, 1
What is d in -6*d + 6*d**2 - 6*d**2 - 2*d**2 = 0?
-3, 0
Let v(g) be the first derivative of 3*g**4/14 - 32. Factor v(x).
6*x**3/7
Let c(p) be the third derivative of -p**5/20 - 5*p**4/24 - p**3/3 + 7*p**2. Determine f so that c(f) = 0.
-1, -2/3
Let g(v) be the first derivative of -v**5/5 - v**4/4 + v**3 + v**2/2 - 2*v + 12. Solve g(a) = 0.
-2, -1, 1
Suppose 3*i - 15 = -j, 0 = -4*i - 5*j + 3 + 28. Let z(v) be the third derivative of 0 + 1/2*v**3 - 1/4*v**i + v**2 + 0*v + 1/20*v**5. Factor z(q).
3*(q - 1)**2
Let f(v) = -v**3 + 2*v**2 - v**2 + 0*v**2 + v**5 + v. Let n(z) = -17*z**5 - 46*z**4 - 51*z**3 - 29*z**2 - 7*z. Let w(c) = 6*f(c) + 2*n(c). Factor w(m).
-4*m*(m + 1)**3*(7*m + 2)
Let s(a) = -a**3 + 4*a**2 + 3*a. Let w be s(-2). Suppose -3*y + 0*y + w = 0. Find d, given that d**4 - d**3 + y*d**2 - 6*d**2 = 0.
0, 1
Let f(u) = 6*u**5 + 24*u**4 + 6*u**3 + 4*u**2 + 6*u. Let v(o) = o**4 + o**2 + o. Let z(t) = f(t) - 10*v(t). Suppose z