 1/2*r**2 - 13/6*r**3 - 28/5*r**5 + 0 + 32/15*r**6 - 2*r + 5*r**4. Suppose x(w) = 0. What is w?
1/4, 1
Let r(c) = -c + 6. Let h be r(4). Let k = 5 - 4. Suppose -1/2*d**h - k - 3/2*d = 0. What is d?
-2, -1
Let c(h) be the first derivative of 0*h**4 + 0*h**3 + 0*h + 0*h**2 - 2/5*h**5 + 8. Factor c(d).
-2*d**4
Let u(t) = -2*t**4 + 2*t**3 + 6*t**2 - 6*t - 6. Let m(l) = l**2 - l - 1. Let w(h) = 6*m(h) - u(h). Suppose w(c) = 0. What is c?
0, 1
Let m(k) be the third derivative of 1/24*k**4 - 1/120*k**6 + 0*k**5 + 0*k**3 + 0 + 0*k - 2*k**2. Factor m(o).
-o*(o - 1)*(o + 1)
Let b(c) be the third derivative of c**5/540 - c**4/36 + 5*c**3/54 - 15*c**2. Determine j so that b(j) = 0.
1, 5
Let g(t) = -t**3 - 5*t**2 - 2*t - 10. Let w(z) = -z**3 - 5*z**2 - 3*z - 9. Suppose f - 18 = 4*f. Let v(k) = f*w(k) + 5*g(k). Factor v(q).
(q + 1)*(q + 2)**2
Let s = -42 + 17. Let r be 6/(-135)*1*s. Factor 2/3*u**2 - r*u**3 + 2/9*u - 2/9 + 4/9*u**4.
2*(u - 1)**3*(2*u + 1)/9
Let i(j) be the second derivative of -j**5/40 - j**4/3 - 5*j**3/3 - 4*j**2 + 5*j + 1. Determine q so that i(q) = 0.
-4, -2
Let v(z) = z - 4. Let u be v(6). Suppose 1/3*y**u - 1/3 + 0*y = 0. What is y?
-1, 1
Let q = 11 - 8. Factor -3*x**2 + q*x - 2*x + x + 4*x.
-3*x*(x - 2)
Let c(v) be the third derivative of 0*v + 1/60*v**5 + v**2 - 1/240*v**6 + 0*v**4 + 0*v**3 + 0. Factor c(f).
-f**2*(f - 2)/2
Let u(b) be the second derivative of -1/60*b**5 + 1/36*b**4 + 0 + 0*b**2 + 0*b**3 - 2*b. Factor u(r).
-r**2*(r - 1)/3
Let s(b) = b**2 - 2 + 2*b - 4*b + b. Let a(g) = 4*g**2 - 5*g - 8. Let x(c) = 4*a(c) - 18*s(c). Let x(t) = 0. What is t?
-2, 1
Let s be ((-3)/(-9))/((-1)/(-21)). Determine j, given that -2*j - s*j**2 + 0*j**3 + 2*j**3 + 7*j**2 = 0.
-1, 0, 1
Factor 5 + 0*w**3 - 8*w**2 + w**2 - 4 + 6*w**3.
(w - 1)*(2*w - 1)*(3*w + 1)
Let k be (-3 - 85/(-15)) + 2/6. Suppose 0*l + 1/3*l**2 + 0 - l**k + l**4 - 1/3*l**5 = 0. Calculate l.
0, 1
Find n, given that -n**5 - 2*n + 13/3*n**3 + 0 - 5/3*n**4 + 1/3*n**2 = 0.
-3, -2/3, 0, 1
Find m such that -1 + 3/2*m - 1/2*m**2 = 0.
1, 2
Let k(j) be the third derivative of j**8/13440 + j**7/840 + j**6/120 + j**5/30 + j**4/24 + 4*j**2. Let s(w) be the second derivative of k(w). Factor s(c).
(c + 2)**3/2
Let f = -171149/210 + 815. Let p(a) be the third derivative of 0*a**4 + 0 + a**2 + f*a**5 + 0*a**3 + 0*a + 1/420*a**6. Let p(o) = 0. Calculate o.
-1, 0
Let f = 4 + -4. Let b be 16/6 - 2 - f. Factor b*r**3 - 2/3*r + 2/3*r**2 + 0 - 2/3*r**4.
-2*r*(r - 1)**2*(r + 1)/3
Let c(k) be the second derivative of -k**8/84 - 2*k**7/35 - k**6/10 - k**5/15 + 2*k**2 - 8*k. Let z(u) be the first derivative of c(u). Factor z(o).
-4*o**2*(o + 1)**3
Let g(y) be the first derivative of -8*y**3/3 + 14*y**2 + 3. Determine s, given that g(s) = 0.
0, 7/2
Let u(l) be the second derivative of 0 + 3*l - 2/3*l**3 - 3*l**2 - 1/18*l**4. Factor u(b).
-2*(b + 3)**2/3
Let o(r) be the first derivative of -r**4/20 - 2*r**3/15 - r**2/10 + 5*r - 4. Let b(s) be the first derivative of o(s). Factor b(g).
-(g + 1)*(3*g + 1)/5
Factor -7/4*m - 3/4*m**3 - 1/2 - 2*m**2.
-(m + 1)**2*(3*m + 2)/4
Let c = -26 + 26. Factor 4/5*v**5 + 0*v + c*v**2 - 6/5*v**4 + 0 + 2/5*v**3.
2*v**3*(v - 1)*(2*v - 1)/5
Let m(k) = -k**3 + k**2 + k. Let j(u) = u**5 - 2*u**4 - u**3 + u**2 + u. Let p(l) = -2*j(l) + 2*m(l). Suppose p(x) = 0. What is x?
0, 2
Let x = 533/4 - 133. Let t(c) be the second derivative of 3*c + 0 + 1/10*c**6 + 3/20*c**5 + 0*c**2 - 1/2*c**3 - x*c**4. Factor t(h).
3*h*(h - 1)*(h + 1)**2
Let x(w) = w**3 - 21*w**2 + 7*w + 1. Let n(z) = -2*z - 2 - z**2 - 4*z + 21*z**2. Let l = -2 - 5. Let h(q) = l*n(q) - 6*x(q). Let h(i) = 0. Calculate i.
-2, -1, 2/3
Let n be 28/(-8)*(18/(-21) - 0). Determine h, given that 4/5*h**4 + 0*h**2 - 2/5*h**n - 2/5*h**5 + 0*h + 0 = 0.
0, 1
Let h be 4/(-18)*(-3)/6. Let z(d) be the third derivative of 0*d - 1/72*d**4 + 2*d**2 + 0 + h*d**3 - 1/180*d**5. Factor z(x).
-(x - 1)*(x + 2)/3
Let x(q) be the third derivative of q**5/60 + q**4/24 - 3*q**2. Let x(y) = 0. What is y?
-1, 0
Let k(j) be the second derivative of 0*j**2 + 1/24*j**3 + j - 1/40*j**5 + 0*j**6 + 1/168*j**7 + 0*j**4 + 0. Solve k(m) = 0.
-1, 0, 1
Let b(n) = -2*n**4 - 3*n**2 - 5*n - 5. Let f(y) = -6*y**4 - 8*y**2 - 14*y - 14. Let m(u) = 14*b(u) - 5*f(u). Let m(r) = 0. Calculate r.
-1, 0, 1
Let o(f) = 56*f**2 + 71*f - 60. Let x(w) = -19*w**2 - 24*w + 20. Let b(u) = -4*o(u) - 11*x(u). Determine z, given that b(z) = 0.
-2, 2/3
Suppose 4 + 10 = 7*c. Determine x, given that 0 - 1/3*x + 1/3*x**c = 0.
0, 1
Let q(z) = 3*z**3 - z**2 - 3*z + 1. Suppose w + 0*w = 4. Let a(i) = 4*i**3 - i**2 - 4*i + 1. Let x(b) = w*a(b) - 6*q(b). Factor x(t).
-2*(t - 1)**2*(t + 1)
Let u(f) be the second derivative of -f**7/42 + f**5/10 - f**3/6 - f. Solve u(h) = 0.
-1, 0, 1
Let r(a) be the first derivative of -4*a**3/3 - 4*a**2 + 22. Factor r(s).
-4*s*(s + 2)
Let k(w) be the third derivative of 1/270*w**5 + 2*w**2 + 0*w**4 + 1/270*w**6 + 0*w**3 + 0 + 0*w + 1/945*w**7. Determine m, given that k(m) = 0.
-1, 0
Let s = -1133 + 3401/3. Let a = -30 - -91/3. Determine x so that 1/3*x + a*x**2 - s = 0.
-2, 1
Let l be (-8)/(-28) + (-60)/(-35). Determine f so that -2/3*f + 1/3*f**3 + 0 - 1/3*f**l = 0.
-1, 0, 2
Let p = 25 + -18. Let c(f) be the first derivative of 0*f - 39/4*f**4 + 2*f**2 + p*f**5 + 0*f**3 - 1. Find m such that c(m) = 0.
-2/7, 0, 2/5, 1
Let m(u) be the second derivative of -u**7/98 + u**6/35 - 3*u**5/140 - 16*u. Factor m(g).
-3*g**3*(g - 1)**2/7
Let d(t) = 2*t**4 + 5*t**3 - t**2 + 9*t. Let i(j) = -j**4 - 2*j**3 + j**2 - 4*j. Let k(x) = -4*d(x) - 10*i(x). Solve k(h) = 0.
-2, 0, 1
Suppose -4 + 76 = 2*n. Suppose -17 = 4*c - 3*y - 53, 4*c - 4*y - n = 0. Factor -r**2 - 4*r + 3*r**2 + c - 7.
2*(r - 1)**2
Let q(v) = v**2. Let p(m) = 40*m - 45. Let n(k) = -p(k) - 5*q(k). Let n(t) = 0. What is t?
-9, 1
Suppose m - 99 = -2*m. Let c be m/9 - (-2)/6. What is l in l**4 - l**3 + 3*l - 6*l - l**2 + c*l = 0?
-1, 0, 1
Let z(t) = t**2 + 8*t - 1. Let y be z(-8). Let h(r) = 6*r**3 + 4*r**2 + 5. Let w(v) = -v**3 - v**2 - 1. Let b(j) = y*h(j) - 5*w(j). Solve b(m) = 0 for m.
0, 1
Let w(y) be the first derivative of -2 + 1/42*y**4 + 0*y - y**3 - 1/1260*y**6 - 1/420*y**5 + 0*y**2. Let j(f) be the third derivative of w(f). Factor j(q).
-2*(q - 1)*(q + 2)/7
Let z(y) = 11*y**4 + y**3 - y**2 - 6*y + 5. Let q(c) = -27*c**4 - 3*c**3 + 3*c**2 + 15*c - 12. Let d(v) = -5*q(v) - 12*z(v). Factor d(b).
3*b*(b - 1)*(b + 1)**2
Let w(z) = -5*z**2 + z - 2. Let g(n) = 14*n**2 - 3*n + 6. Let v(t) = -6*g(t) - 17*w(t). Determine k so that v(k) = 0.
-2, 1
Let d(a) = -a**3 - 6*a**2 + a + 9. Let l be d(-6). Let s(q) be the third derivative of -2*q**2 + 0*q**4 + 1/150*q**5 + 0*q**l + 0*q + 0. Factor s(z).
2*z**2/5
Let i = 531/10 - 258/5. Find h such that -i*h**2 + 9/4*h**3 - 5*h - 2 = 0.
-2/3, 2
Let p(r) be the second derivative of -r**3/6 - 3*r**2/2 - r. Let n be p(-8). Factor 0*t**3 - 2*t**3 + 3*t**5 - t**n.
2*t**3*(t - 1)*(t + 1)
Let v = 40/23 + 255/184. Solve 1/2 - 2*n + v*n**2 - 1/8*n**5 + 7/8*n**4 - 19/8*n**3 = 0 for n.
1, 2
Let b = 15 + -13. Let x(p) be the first derivative of -4*p - 14/3*p**3 + 9*p**b + 3. Factor x(a).
-2*(a - 1)*(7*a - 2)
Let t(o) be the third derivative of -o**6/150 - 4*o**5/75 - o**4/10 - 5*o**2. Determine d, given that t(d) = 0.
-3, -1, 0
Let 0 + 3/8*s**5 + 3/4*s**2 - 3/8*s - 3/4*s**4 + 0*s**3 = 0. Calculate s.
-1, 0, 1
Let v(i) be the third derivative of i**5/30 - 4*i**4/3 + 5*i**3 + 2*i**2 - 13. Factor v(x).
2*(x - 15)*(x - 1)
Factor 8/3*l - 8/3 - 2/3*l**2.
-2*(l - 2)**2/3
Let u(o) be the second derivative of -o**5/25 - 2*o**4/15 - 2*o**3/15 - 39*o. Solve u(g) = 0 for g.
-1, 0
Factor -4*m**4 - 65242*m - 304*m**3 - 8664*m**2 - 19144*m - 59321*m + 33963*m - 521284.
-4*(m + 19)**4
Let z(i) = i**3 + 5*i**2 + 3*i - 5. Let r be z(-4). Let o be (1 - r/4) + -1. Find k, given that 1/4*k**2 - 1/4 + o*k**3 - 1/4*k = 0.
-1, 1
Let h(j) be the second derivative of -j**5/4 + 15*j**4/4 - 45*j**3/2 + 135*j**2/2 + 4*j. Determine q so that h(q) = 0.
3
Factor 2*t**3 - 1/2 - 1/2*t**4 - 3*t**2 + 2*t.
-(t - 1)**4/2
What is k in -2*k**2 - 5*k + 7*k + k**2 = 0?
0, 2
Suppose -3*o + 2*t + 18 = o, 8 = 3*o + 4*t. Factor 2/3*r**2 - 2/3*r**o + 0*r**3 + 0*r + 0.
-2*r**2*(r - 1)*(r + 1)/3
Let q(p) be the third derivative