erivative of -6*a**3 - 15*a**2/2 + 3*a - 17. Find w such that f(w) = 0.
-1, 1/6
Suppose 0 = -r + 2 + 17. Let u = 19 - r. Suppose -2/3*k**4 + u*k**2 + 2/3 - 4/3*k + 4/3*k**3 = 0. What is k?
-1, 1
Let c(i) be the third derivative of -i**7/735 + 2*i**2. Factor c(f).
-2*f**4/7
Let h(n) be the third derivative of n**7/840 + n**6/108 + n**5/90 + n**4/12 - 4*n**2. Let a(m) be the second derivative of h(m). Factor a(b).
(b + 2)*(9*b + 2)/3
Suppose 4*t - 12 = 5*d, 3*t - 15 = 3*d - 6. Let b(q) = q**5 + 2*q**4 - 2*q**2 + 2*q. Let v(n) = -n**4 - n**3 + n**2. Let o(g) = t*v(g) + b(g). Factor o(z).
z*(z - 2)*(z - 1)*(z + 1)**2
Suppose -24 = -2*j - 4*j. Let h(s) be the second derivative of 1/6*s**j + 1/15*s**6 + 0 + 0*s**2 + 1/5*s**5 - s + 0*s**3. Find r, given that h(r) = 0.
-1, 0
Let v(b) = -b**2 - b + 6. Let l be v(0). Let n(t) = -10*t**3 + t**2 + 2*t + 1. Let r be n(-1). Factor -14*c**4 + 6*c**2 - l*c**2 - r*c**5 - 4*c**3.
-2*c**3*(c + 1)*(5*c + 2)
Let s = -309/5 - -63. Factor -2/5*x + 2*x**3 - 2/5*x**2 + 0 - s*x**4.
-2*x*(x - 1)**2*(3*x + 1)/5
Suppose w = 7*w - w. Suppose -15 = -5*i + 10. Suppose -2/3*d**i + 0*d**3 + 2/3*d**4 + w + 0*d**2 + 0*d = 0. What is d?
0, 1
Let f(u) = -u**2 - 17*u + 8. Let y be f(-17). Suppose 0 = 8*d - 10*d + y. Determine i so that 16/7*i**3 + 2/7 - 16/7*i - 32/7*i**d + 30/7*i**2 = 0.
-1, 1/4, 1
Let y = -8 - -7. Let b(t) = t**3 - t**2 - 1. Let h(a) = -9*a**4 - 33*a**3 - 9*a**2 + 12. Let l(d) = y*h(d) - 9*b(d). Find z such that l(z) = 0.
-1, 1/3
Let s(d) be the second derivative of 0 - 1/25*d**5 - 1/30*d**4 + 0*d**3 + 0*d**2 + 4*d. Let s(m) = 0. Calculate m.
-1/2, 0
Let z(w) be the second derivative of 5*w - 1/54*w**4 - 1/90*w**5 + 0*w**3 + 0*w**2 + 0. Factor z(c).
-2*c**2*(c + 1)/9
Let w(n) = 5*n**4 + 30*n**3 + 45*n**2 + 26*n + 4. Let a(b) = 4*b**4 + 30*b**3 + 46*b**2 + 27*b + 4. Let x(o) = 2*a(o) - 3*w(o). Factor x(p).
-(p + 1)**2*(p + 2)*(7*p + 2)
Let s(y) be the second derivative of -y**4/24 - 5*y**3/12 - y**2 + 6*y. Suppose s(l) = 0. Calculate l.
-4, -1
Let d = 169 + -167. Factor -3/7*q + 3/7*q**d - 6/7.
3*(q - 2)*(q + 1)/7
Let b(l) be the first derivative of -l**5/30 + l**4/8 - l**3/9 + 28. What is f in b(f) = 0?
0, 1, 2
Let s be -6 - 81/(-12) - 2/8. Factor 1/4 + 1/4*l**2 + s*l.
(l + 1)**2/4
Let u be (-1)/4 - 52/(-16). Suppose 3*c - u = -3*s, s - 5 + 4 = 5*c. Let 0*r**2 - 1/4*r**5 + 0*r + 1/4*r**4 + c*r**3 + 0 = 0. What is r?
0, 1
Let z be 136/714 + 0 + 4/6. Factor z*c - 4/7*c**2 + 0 - 2/7*c**3.
-2*c*(c - 1)*(c + 3)/7
Let b(i) = 31*i**4 - 81*i**3 + 91*i**2 - 39*i + 6. Let d(k) = 249*k**4 - 648*k**3 + 729*k**2 - 312*k + 48. Let r(a) = -33*b(a) + 4*d(a). Solve r(o) = 0 for o.
1/3, 2/3, 1
Let g be (-26)/8 + (-2)/(-8). Let s = 6 + g. Factor 2 + 6*c**5 - 2 + 12*c**3 + s*c**4 - 2*c - 19*c**4.
2*c*(c - 1)**3*(3*c + 1)
Let v(p) be the first derivative of p**8/1680 + p**7/280 + p**6/180 + 2*p**3/3 - 3. Let k(c) be the third derivative of v(c). Suppose k(l) = 0. What is l?
-2, -1, 0
Let h be 8 + (-3)/(6/4). Let i be (-13)/(-2) + 3/h. Factor -6*n - i*n**2 - 1 + 0*n**2 - 3*n**2 + n**2.
-(3*n + 1)**2
Let z(g) be the first derivative of 1/2*g**4 - 1/6*g**6 - 1/2*g**2 + 0*g**5 + 0*g + 0*g**3 - 2. Find i, given that z(i) = 0.
-1, 0, 1
Let r = 4 - 0. Let a(j) be the second derivative of 2/15*j**3 + 0 - 1/75*j**6 + 0*j**2 - 2*j - 1/25*j**5 + 1/30*j**r. Solve a(x) = 0.
-2, -1, 0, 1
Let v = 37 + -33. Let s(h) be the first derivative of 1/6*h**v + 2 + 0*h - 4/9*h**3 + 1/3*h**2. Let s(a) = 0. Calculate a.
0, 1
Suppose 3*m = 10 + 2. Suppose 0*u**4 - 4*u**2 + 8*u**3 - 6*u**2 + 4*u - 2*u**m = 0. What is u?
0, 1, 2
Let v(u) be the second derivative of -5*u**4/12 - 55*u**3/6 - 25*u**2 - 22*u. Factor v(z).
-5*(z + 1)*(z + 10)
Let m(z) = 6*z**2 + 2*z + 1. Let t be m(-1). Let o(u) be the first derivative of 0*u + 3/14*u**4 + 2/21*u**3 + 0*u**2 + 6/35*u**t - 2 + 1/21*u**6. Factor o(j).
2*j**2*(j + 1)**3/7
Let w(j) be the second derivative of j**6/45 - j. Let w(q) = 0. Calculate q.
0
Let a(m) = m - 8. Let x be a(15). Factor s**3 - 3*s**3 - s**4 - x*s - 5*s**3 - 2 - 9*s**2 + 2*s**3.
-(s + 1)**3*(s + 2)
Suppose 0 = -w + 1 + 1, 0 = -i + 4*w - 6. Let j = 7 + -4. What is s in 2*s**3 - 4*s**5 + 4*s**2 - 3*s**i + s**j + s**3 - s**4 = 0?
-1, -1/4, 0, 1
Factor 7/2*d + 1 - 2*d**2.
-(d - 2)*(4*d + 1)/2
Let t(h) be the third derivative of -h**7/3780 + h**6/540 + h**4/6 - 3*h**2. Let f(i) be the second derivative of t(i). Factor f(p).
-2*p*(p - 2)/3
Let o be (-4)/3*15/(-10). Let z(w) be the first derivative of 0*w + 1/5*w**2 - o + 2/25*w**5 + 3/10*w**4 + 2/5*w**3. What is t in z(t) = 0?
-1, 0
Let q(g) be the second derivative of 49*g**4/6 - 14*g**3 + 9*g**2 + 17*g. Factor q(m).
2*(7*m - 3)**2
Let n(x) be the first derivative of 4/5*x**5 - x**4 + 0*x**2 - 1 + 0*x + 0*x**3. Suppose n(r) = 0. What is r?
0, 1
Suppose 26*k = 29*k - 6. Factor 7/4*g**k - 1/2*g + 0 - 5/4*g**3.
-g*(g - 1)*(5*g - 2)/4
Find k such that 2/7*k**2 + 2/7 - 4/7*k = 0.
1
Factor 1/4 - 1/4*u**2 + 0*u.
-(u - 1)*(u + 1)/4
Let u = -157/2 + 46. Let y = -32 - u. Factor 0*a**3 + y*a**4 - 1/2*a**2 + 0 + 1/4*a**5 - 1/4*a.
a*(a - 1)*(a + 1)**3/4
Let p = 22 - 16. Let s be 2 + p/9 - 2. Find d such that 0*d + s*d**3 + 0 + 2/3*d**2 = 0.
-1, 0
Let r be 3/(-2)*58/(-261). Factor 1/3*y - 1/3*y**3 + 0 - 1/3*y**2 + r*y**4.
y*(y - 1)**2*(y + 1)/3
Let d(c) be the first derivative of 0*c**4 + 1/360*c**6 + 0*c + 0*c**5 + 1/630*c**7 + c**2 + 1 + 0*c**3. Let y(s) be the second derivative of d(s). Factor y(m).
m**3*(m + 1)/3
Let s(x) be the third derivative of -x**6/80 + x**5/10 - 3*x**4/16 - 23*x**2. Factor s(u).
-3*u*(u - 3)*(u - 1)/2
Let x(l) be the first derivative of l**6/3 - 2*l**5/5 - l**4 + 4*l**3/3 + l**2 - 2*l - 12. What is f in x(f) = 0?
-1, 1
Suppose 5 = -a - 2. Let p be a*(0 - 1) + -3. Factor 218/7*y**3 + 72/7*y**2 + 8/7*y + 0 + 14*y**5 + 36*y**p.
2*y*(y + 1)**2*(7*y + 2)**2/7
Let y(d) be the third derivative of d**8/10080 - d**7/1260 + d**6/360 - d**5/180 - 7*d**4/24 - 3*d**2. Let r(g) be the second derivative of y(g). Factor r(n).
2*(n - 1)**3/3
Let y(h) = h - 4. Let r be y(9). Let t(j) be the third derivative of 0 + 0*j**3 + 3*j**2 + 1/120*j**6 + 0*j - 1/60*j**r - 1/12*j**4. Factor t(q).
q*(q - 2)*(q + 1)
Let r(y) be the second derivative of -y**6/15 - 4*y**5/5 - y**4 + 40*y**3/3 - 25*y**2 - 56*y. Factor r(w).
-2*(w - 1)**2*(w + 5)**2
Let r(o) = -3*o**3 - 17*o**2 - 10*o. Let u(y) = -8*y**3 - 52*y**2 - 30*y. Let a(b) = -7*r(b) + 2*u(b). Factor a(d).
5*d*(d + 1)*(d + 2)
Suppose -2*a + 5 = 1. Suppose -2*d = -3*d + a. Find j, given that 2/3*j + 4/3*j**d + 2/3*j**3 + 0 = 0.
-1, 0
Find p such that -27/8*p**2 + 15/8*p**3 + 21/8*p - 3/8*p**4 - 3/4 = 0.
1, 2
Let d(x) = 2*x**2 + 8*x + 8. Let u(k) = k + 1. Let h(q) = -d(q) + 8*u(q). Factor h(o).
-2*o**2
Let c(q) = 5*q**4 + 75*q**3 - 90*q**2 + 10*q - 10. Let t(w) = -2*w**4 - 25*w**3 + 30*w**2 - 3*w + 3. Let r(k) = 3*c(k) + 10*t(k). Factor r(l).
-5*l**2*(l - 1)*(l + 6)
Let k(s) be the second derivative of -7*s**5/30 + s**4/2 - 2*s**3/9 + 8*s. Factor k(t).
-2*t*(t - 1)*(7*t - 2)/3
Suppose 5*m = -j + 28, 5*m - j = 9 + 23. Let h be (m/(-8))/((-3)/5). Solve -1/4 + h*v**2 + 3/4*v**3 + 1/4*v = 0 for v.
-1, 1/3
Let y(t) be the first derivative of t**3/6 - 3*t**2 + 18*t + 21. Find b such that y(b) = 0.
6
Let k(l) = -7*l + 75. Let w be k(10). Factor 0*g + 1/3*g**3 + 0*g**4 - 1/3*g**w + 0*g**2 + 0.
-g**3*(g - 1)*(g + 1)/3
Let w(d) be the first derivative of d**4/20 - d**3/5 + 4*d/5 - 2. Factor w(q).
(q - 2)**2*(q + 1)/5
Let k(b) = -b**3 + 19*b**2 + 38*b + 84. Let x be k(21). Suppose 0 + x*d**2 + 3/5*d**3 - 3/5*d = 0. What is d?
-1, 0, 1
Suppose 1 = -y + 3. Let 4*q + y - 21/2*q**2 + q**3 + 7/2*q**4 = 0. Calculate q.
-2, -2/7, 1
Let z be 32/30 + -4*(-1)/(-10). Factor 0*m + z*m**5 + 0 - 2/3*m**2 - 2*m**4 + 2*m**3.
2*m**2*(m - 1)**3/3
Suppose 2*y + 0*y = 10. Let c be ((-8)/20)/((-1)/y). Factor 2/7 - 2/7*o**c + 0*o.
-2*(o - 1)*(o + 1)/7
Let r be 90/(-5) - 0/(-2). Let v = -2 - r. Let c(g) = -g**2 + g + 5. Let m(k) = -6*k**2 + 4*k + 26. Let q(i) = v*c(i) - 3*m(i). Suppose q(x) = 0. What is x?
-1
Let v(l) be the first derivative of -l**7/7 + l**6/20 + 3*l**5/10 - l**4/8 - 2*l - 5. Let c(y) be the first derivative of v(y). Determine p so that c(p) = 0.
-1, 0, 1/4, 1
Let d(b) = -b**2 + 1. 