10)) + 288/160. Let p(y) be the second derivative of -1/9*y**3 + 0*y**4 + 0*y**q + 1/30*y**5 + y + 0. Determine z, given that p(z) = 0.
-1, 0, 1
Let i(s) be the second derivative of s**5/20 + s**4/12 - s**3/6 - s**2/2 + 23*s. Factor i(y).
(y - 1)*(y + 1)**2
Suppose 0 = -9*q - 15*q. What is y in 3/4*y**5 + 0*y**4 + 0 + 0*y**2 + q*y - 3/4*y**3 = 0?
-1, 0, 1
Let s(x) be the first derivative of x**6/6 + x**5/5 - x**4/4 - x**3/3 + 5. Let s(g) = 0. What is g?
-1, 0, 1
Factor 196/3*n - 16 - 16/3*n**2.
-4*(n - 12)*(4*n - 1)/3
Let v(y) be the first derivative of -y**4/30 - 2*y**3/15 - 2*y**2/15 + 1. Factor v(k).
-2*k*(k + 1)*(k + 2)/15
Let c = 3/41 + 117/82. Let f(q) be the first derivative of -c*q**4 - 10/3*q**3 - 1 + 0*q - 2*q**2. Let f(u) = 0. What is u?
-1, -2/3, 0
Suppose -8 = i + 172*p - 168*p, 2*i = 2*p + 14. Let i*c + c**3 - 3/4 - 17/4*c**2 = 0. What is c?
1/4, 1, 3
Let l = -292/325 - -413/6175. Let v = -3/95 - l. Factor -v*s + 1/5*s**2 + 4/5.
(s - 2)**2/5
Determine u, given that 17*u**3 - 49*u**3 - 41*u**2 - 5*u**5 - 33*u**3 - 19*u**2 - 20*u - 30*u**4 = 0.
-2, -1, 0
Let t = 12 + -9. Suppose -4*q**2 + 10*q - 14 - t*q**2 + q**2 + 18 = 0. Calculate q.
-1/3, 2
Let x be ((-96)/50 - -2)/((-6)/(-30)). Suppose x + 1/5*y**2 - 3/5*y = 0. What is y?
1, 2
Suppose -9*a**2 + 0*a + 16*a + 29*a**2 - 4 = 0. Calculate a.
-1, 1/5
Suppose -4*n = -x + 12, -2*n + 9 + 3 = 4*x. Let v be -1*-1*n/(-6). Factor -4/3*a**3 + 0 - 5/3*a**4 - 2/3*a**5 + 0*a - v*a**2.
-a**2*(a + 1)**2*(2*a + 1)/3
Let i(b) be the second derivative of b**6/35 - 11*b**5/70 + 5*b**4/21 + b + 4. Factor i(w).
2*w**2*(w - 2)*(3*w - 5)/7
Let -2*i**4 + 3*i + i**2 + 0 + 0*i**3 + 1 - 5*i**3 + 2*i**3 = 0. What is i?
-1, -1/2, 1
Let t(y) be the second derivative of -y**4/48 + y**2/2 + 8*y. Factor t(d).
-(d - 2)*(d + 2)/4
Let n(k) be the third derivative of 3*k**8/112 + k**7/7 + 17*k**6/60 + k**5/5 - k**4/8 - k**3/3 + k**2. What is r in n(r) = 0?
-1, -2/3, 1/3
Let b(q) be the first derivative of q**8/6720 + q**7/1680 - q**5/240 - q**4/96 + 4*q**3/3 - 4. Let i(h) be the third derivative of b(h). Factor i(m).
(m - 1)*(m + 1)**3/4
Factor 0 - 1/5*j**4 + 0*j**3 + 2/5*j + 3/5*j**2.
-j*(j - 2)*(j + 1)**2/5
Let y be (2/(-516))/(14/(-16230)). Let j = y - -2/301. Determine g so that 0 - 7/2*g**3 + j*g**2 - g = 0.
0, 2/7, 1
Let i(a) = a**5. Let n(b) = 5*b**5 - 2*b**3. Let c(z) = -3*i(z) + n(z). Factor c(m).
2*m**3*(m - 1)*(m + 1)
Let z(j) = -j**2 - 3*j + 2. Let n(i) be the third derivative of i**3/6 - i**2. Let f(u) = 4*n(u) - z(u). Factor f(r).
(r + 1)*(r + 2)
Let z(p) = -p**3 - 2*p**2 - 2*p - 1. Let o be z(-2). Suppose o*r = -3*h - 6, 2*h + 8 = -3*h - 4*r. Factor h + 0*c**3 - 2/3*c**5 + 0*c + 0*c**2 + 0*c**4.
-2*c**5/3
Let s be (1 + 4)*28/(-35). Let p be 2/(-8) + s/(-8). Determine b so that 5/4*b - 1/2 - p*b**3 + 1/4*b**4 - 3/4*b**2 = 0.
-2, 1
Let c = -180 - -184. Let v(b) be the second derivative of 0 + 3/10*b**3 + 3/5*b**2 + 3*b + 1/20*b**c. Solve v(m) = 0.
-2, -1
Let i = -516 + 3618/7. What is p in 0*p + 0 - 8/7*p**4 - i*p**3 + 2/7*p**2 = 0?
-1, 0, 1/4
Suppose -4*d = -30 + 22. Factor -2/11*t**d - 6/11 + 8/11*t.
-2*(t - 3)*(t - 1)/11
Suppose 10 = 2*t - 2. Let g(z) = -z**3 + 7*z**2 - 7*z + 9. Let w be g(t). Factor -2*v**w + 1 - v**3 + 2*v**3 + v - v**2.
-(v - 1)*(v + 1)**2
Let d be -3 + -56 + 0 + -1. Let v be 4/(-6) + (-64)/d. Factor v*n**2 + 0 - 8/5*n**3 + 0*n.
-2*n**2*(4*n - 1)/5
Let s(n) be the second derivative of 1/6*n**3 + 1/120*n**5 + 3*n - 1/120*n**6 + 0*n**2 + 0*n**4 + 0. Let h(v) be the second derivative of s(v). Factor h(d).
-d*(3*d - 1)
Let j be 6/(-21) + (-23)/(-7). Let o be 3/(-5)*(-1)/j. Factor -1/5 + 1/5*u**3 + o*u**2 - 1/5*u.
(u - 1)*(u + 1)**2/5
Suppose 0 = 19*x - 17*x - 4. Let n(p) be the first derivative of 2/9*p**3 - 7/12*p**4 + 1/6*p**2 + 0*p + x + 4/15*p**5. Factor n(i).
i*(i - 1)**2*(4*i + 1)/3
Factor -1/3*g**2 - 1/3*g + 0.
-g*(g + 1)/3
Let o(n) be the first derivative of n**7/840 + n**6/120 - n**5/30 - 8*n**3/3 + 5. Let l(r) be the third derivative of o(r). What is b in l(b) = 0?
-4, 0, 1
Let o = -9 + 11. Let g(l) be the first derivative of 0*l + 0*l**5 + 0*l**3 + 0*l**o + 1/12*l**4 - 1/18*l**6 - 2. Let g(p) = 0. Calculate p.
-1, 0, 1
Let y be 1 + -1 - (-1 - (-8 + 11)). Solve -8/7 + 4/7*k**3 - 8/7*k - 2/7*k**y + 6/7*k**2 = 0 for k.
-1, 2
Let v(j) = -2*j + 2. Let s(n) = n - 1. Let o(u) = 5*s(u) + 3*v(u). Let w be o(-1). Suppose 0*g - 1/4*g**3 + 3/4*g**w + 0 = 0. What is g?
0, 3
Factor 1/4*t**2 - 1/4*t**3 - 1/4 + 1/4*t.
-(t - 1)**2*(t + 1)/4
Let y = 10160/1603 + -12/229. Determine v so that 52/7*v + 8/7 + y*v**2 = 0.
-1, -2/11
Let m(s) be the third derivative of s**7/105 + 19*s**6/420 + s**5/14 + s**4/84 - 2*s**3/21 + 18*s**2. Factor m(h).
2*(h + 1)**3*(7*h - 2)/7
Solve -4/7*x**2 + 10/7*x**3 + 0*x + 2/7*x**5 - 8/7*x**4 + 0 = 0 for x.
0, 1, 2
Let k(i) = -i**3 - 3*i**2 + 3*i + 5. Let f be k(-4). Let w be 8/45 - (-2)/f. Factor -2/5*z**3 + 2/5*z + 2/5*z**2 - w.
-2*(z - 1)**2*(z + 1)/5
Let v(x) be the second derivative of 0*x**3 + 1/2*x**4 + 0*x**2 + 7*x + 3/20*x**5 + 0. Factor v(j).
3*j**2*(j + 2)
Let x(q) be the first derivative of 3/4*q**4 + 0*q + 0*q**2 - 3/10*q**5 - 1/2*q**3 + 5. Solve x(n) = 0 for n.
0, 1
Let y = 2118/2635 + -2/527. Factor -y*t + 0 - 1/5*t**3 + 4/5*t**2.
-t*(t - 2)**2/5
Let h(r) = -r**4 + 6*r**3 - 3*r**2 - 5*r + 3. Let x(m) = 2*m**4 - 6*m**3 + 4*m**2 + 4*m - 4. Let c(w) = 4*h(w) + 3*x(w). Factor c(b).
2*b*(b - 1)*(b + 2)**2
Let p be 12/4 + -5 + 2. Factor 2 + 5*u + 2*u + p + 4*u**2 - 2*u + u**3.
(u + 1)**2*(u + 2)
Suppose 0 = -4*a - 37 - 15. Let o = -13 - a. Factor o + 0*i**4 + 1/5*i**5 + 0*i**2 + 0*i - 1/5*i**3.
i**3*(i - 1)*(i + 1)/5
Let x be (-4)/(-22) + (-184)/44. Let g be 0 - x*3/6. Factor 0 + 4/7*z + g*z**4 - 24/7*z**3 + 6/7*z**2.
2*z*(z - 1)**2*(7*z + 2)/7
Let q(g) = g**3 + 5*g**2 + 4*g - 2. Let j be q(-2). Factor -10/7*b - 2/7*b**3 + 4/7 + 8/7*b**j.
-2*(b - 2)*(b - 1)**2/7
Let f = 12 + -10. Let n(t) = t**4 - t**3 + t**2 + t - 1. Let u(h) = 4*h**2 - 2. Let a(v) = f*n(v) - u(v). Find r such that a(r) = 0.
-1, 0, 1
Let z(p) be the first derivative of 3*p**4/10 - 4*p**3/15 - p**2/5 + 60. Factor z(q).
2*q*(q - 1)*(3*q + 1)/5
Let f(k) be the first derivative of -k**7/735 - k**6/84 - 4*k**5/105 - k**4/21 + k**2 + 3. Let t(g) be the second derivative of f(g). Factor t(v).
-2*v*(v + 1)*(v + 2)**2/7
Let f(d) = 2*d**4 + 12*d**3 - 10*d**2 - 6*d + 8. Let s(b) = -b**4 - 12*b**3 + 9*b**2 + 7*b - 8. Let p(l) = -5*f(l) - 6*s(l). Determine h, given that p(h) = 0.
-1, 1, 2
Suppose 4*r + 53 - 1 = 0. Let f(i) = -42*i**4 + 2*i**3 - 9*i**2 - 13. Let d(b) = 21*b**4 - b**3 + 4*b**2 + 6. Let n(v) = r*d(v) - 6*f(v). Solve n(o) = 0 for o.
-2/7, 0, 1/3
Find p such that 21*p**5 + p**2 - 3 + 5*p - 6*p**3 + p**2 - 20*p**5 + p**4 = 0.
-3, -1, 1
Let s(i) be the second derivative of i**9/16632 + i**8/9240 - i**7/4620 - i**6/1980 + i**3 + 4*i. Let d(y) be the second derivative of s(y). Factor d(u).
2*u**2*(u - 1)*(u + 1)**2/11
Let m(i) be the third derivative of -i**8/1176 + i**7/245 - i**6/210 - i**5/105 + i**4/28 - i**3/21 + 9*i**2. Find r, given that m(r) = 0.
-1, 1
Let l(x) be the second derivative of -x**6/30 + x**5/4 - 2*x**4/3 + 2*x**3/3 - 5*x. Factor l(t).
-t*(t - 2)**2*(t - 1)
Let c(t) be the third derivative of -1/54*t**4 + 0*t - 3*t**2 + 1/27*t**3 + 1/270*t**5 + 0. Determine w so that c(w) = 0.
1
Suppose d = 2*d + 2*m - 6, 2*d = 2*m + 6. Let u(h) be the third derivative of 0 + 0*h + 1/80*h**5 + 1/12*h**3 + 7/96*h**d - 4*h**2. Solve u(f) = 0 for f.
-2, -1/3
Let q be 87/21 - (-1)/(-2). Let t = q - 22/7. Factor t*n**2 + 1/2*n - 1.
(n - 1)*(n + 2)/2
Let y(s) = 20*s**4 + 39*s**3 - 41*s**2 - 80*s + 29. Let c(n) = 4*n**4 + 8*n**3 - 8*n**2 - 16*n + 6. Let m(d) = -22*c(d) + 4*y(d). Suppose m(a) = 0. Calculate a.
-2, 1/2, 1
Let g(u) be the first derivative of -u**6/120 + u**4/24 - u**2 + 2. Let x(b) be the second derivative of g(b). Factor x(q).
-q*(q - 1)*(q + 1)
Let 76*n**2 - 20*n**2 + 40*n**3 + 5*n - 26*n**2 = 0. What is n?
-1/2, -1/4, 0
Suppose d - 23 = -5*z, 0 = -3*z - 0*z - 3*d + 21. Let -7/3*s**z + 1/3 - 8/3*s**3 - 2/3*s**2 + 2/3*s - 2/3*s**5 = 0. Calculate s.
-1, 1/2
Find b, given that 4/3*b**2 + 0 - 2/3*b**3 + 0*b = 0.
0, 2
Factor 58*i**4 - 35*i**2 - 15*i**2 - 53*i**4 - 45*i**3.
5*i**2*(i