uppose -4*h + 4*b + 28 = 0, -h + 4*b = 4*h - 33. Let o be (0 - 0)/h - -3. Solve -48/7*t**o - 3*t**4 - 6/7*t + 0 - 33/7*t**2 = 0.
-1, -2/7, 0
Let o(p) be the first derivative of 3*p**5/5 + 11*p**4/4 + 8*p**3/3 - 2*p**2 - 27. Factor o(x).
x*(x + 2)**2*(3*x - 1)
Let q be (-36)/144*(3 + -3). Let i(u) be the first derivative of 3 - 1/5*u**4 + 0*u**2 + q*u - 4/15*u**3. Factor i(c).
-4*c**2*(c + 1)/5
Suppose -5*g - 8 = -28. Suppose u - g*u = 3*r - 75, 5*r + 2*u = 125. Factor 20*c - 4 + 40*c**3 + r*c**4 - 45*c**4 + 3*c**5 + c**5 - 40*c**2.
4*(c - 1)**5
Let q(h) be the third derivative of -h**6/30 - h**5/5 + h**4 + 16*h**3/3 + 34*h**2 + 2*h. Factor q(z).
-4*(z - 2)*(z + 1)*(z + 4)
Let x = 27302/3 + -8975. Let y = x - 125. Factor y*a + 0 - 2/3*a**4 - 2/3*a**3 + 2/3*a**2.
-2*a*(a - 1)*(a + 1)**2/3
Let a(p) = p**2 - p - 2. Let b(u) = 16*u**2 + 8*u + 8. Let z(o) = -28*a(o) + 2*b(o). Solve z(i) = 0 for i.
-9, -2
Let p(x) be the second derivative of -1/120*x**6 + 0*x**3 - 1/8*x**2 + 17*x + 0 + 1/24*x**4 + 0*x**5. Find f such that p(f) = 0.
-1, 1
Suppose 4*p + 6 = 14. Suppose 2*t - p = 0, w - 9 = -3*w - t. What is s in -1/2 - s - 1/2*s**w = 0?
-1
Let o(d) be the second derivative of d**8/2240 - d**7/210 + d**6/60 + 7*d**4/3 + 2*d. Let q(x) be the third derivative of o(x). Determine h so that q(h) = 0.
0, 2
Suppose -2*j + 0*j = -14. Let k(z) be the third derivative of 0*z**6 + 0*z + 0 + 3*z**2 - 1/105*z**j + 0*z**4 - 1/3*z**3 + 1/15*z**5. What is d in k(d) = 0?
-1, 1
Let j = 270 + -266. Let p(m) be the second derivative of 0 + 7/40*m**6 + 6*m - 27/80*m**5 + 1/8*m**j + 0*m**2 + 0*m**3. Suppose p(s) = 0. What is s?
0, 2/7, 1
Let g(j) be the first derivative of -j**3/3 + 8*j**2 - 15*j - 219. What is x in g(x) = 0?
1, 15
Let w(i) = 17*i - 5. Let y be w(-1). Let o be 0/y - 2/(-2)*3. Find s such that -2/17*s**4 + 6/17*s**o + 2/17*s**2 + 0 - 6/17*s = 0.
-1, 0, 1, 3
Let k(s) = s**3 - s - 2. Let v(u) = -7*u**3 + 12*u**2 - 2*u + 4. Let d(x) = 6*k(x) + 3*v(x). Factor d(w).
-3*w*(w - 2)*(5*w - 2)
Let b(c) be the second derivative of -c**7/63 - c**6/135 + c**5/18 + c**4/54 - 2*c**3/27 - 61*c. Let b(v) = 0. What is v?
-1, 0, 2/3, 1
Let x = 60 - 26. Factor 22 + 144*p + x*p**3 + 12*p**4 + 168*p**2 + 10 + 42*p**3.
4*(p + 2)**3*(3*p + 1)
Suppose 0 = 2*c - 5*b - 19, 4*c + 6*b - 3*b + 1 = 0. Suppose -11*m**2 + 4*m - 6*m**4 + 9*m**2 - 4*m**c - 24*m**3 - 8*m**4 = 0. Calculate m.
-1, 0, 2/7
Let x(u) be the second derivative of -u**6/900 - u**5/25 - 3*u**4/5 - 4*u**3/3 + 16*u. Let b(g) be the second derivative of x(g). Suppose b(n) = 0. What is n?
-6
Let o(k) be the third derivative of k**9/3024 + k**8/2240 - k**7/3360 - k**3 + 4*k**2. Let r(p) be the first derivative of o(p). Let r(v) = 0. What is v?
-1, 0, 1/4
Let l be (23/6 + -4 + 1)*6. Suppose 12*h**4 + 13*h**3 - 60*h**2 + 4*h**5 + 3*h**5 - 11*h**l + 15*h**3 - 72*h = 0. Calculate h.
-2, -1, 0, 3
Let s = 9 + -8. Factor -2*j**2 + 11*j**2 + s + 1 + j**2 + 12*j.
2*(j + 1)*(5*j + 1)
Let c(f) be the first derivative of -3 + 1/6*f**3 - 3/4*f**2 + f. Solve c(a) = 0.
1, 2
Let o be 3/(-12)*(20/(-15) - -1). Let d(u) be the first derivative of o*u**3 - 1/4*u + 0*u**2 - 3. Find w, given that d(w) = 0.
-1, 1
Let j be 51/2 + 4*4/(-32). Suppose j*x + 2*x**3 - 32*x + 23*x + 27*x**2 - 9*x**2 = 0. Calculate x.
-8, -1, 0
Let f = -178805/8 - -22351. Suppose -3/8*g**2 - f*g + 9/2 = 0. Calculate g.
-4, 3
Let z(p) be the second derivative of p**4/30 - 4*p**3/5 + 4*p**2 - 41*p - 2. Let z(g) = 0. Calculate g.
2, 10
Suppose 7 - 7 = y. Let x be y + (96/140 - (-4)/(-14)). Factor -4/5*t**3 + 0*t + 0 + x*t**2.
-2*t**2*(2*t - 1)/5
Let p be (2/(-1260))/(85/(-255)). Let i(b) be the third derivative of -p*b**5 + 0*b**3 + 0*b + 0*b**4 + 0 - 6*b**2. Determine h so that i(h) = 0.
0
Let o(i) = 7*i**5 - 8*i**4 + 3*i**3 + 14*i**2 - 10*i - 6. Let a(n) = 15*n**5 - 17*n**4 + 7*n**3 + 29*n**2 - 21*n - 13. Let w(x) = 6*a(x) - 13*o(x). Factor w(y).
-y*(y - 2)*(y - 1)**2*(y + 2)
Let q(p) be the first derivative of -p**5/270 + p**4/54 + 9*p**2 + 15. Let m(w) be the second derivative of q(w). Factor m(x).
-2*x*(x - 2)/9
Factor -3/5*j**4 + 102/5*j - 33/5 + 42/5*j**3 - 108/5*j**2.
-3*(j - 11)*(j - 1)**3/5
Suppose -128/19*p**2 - 32/19*p**3 + 0 - 2/19*p**4 + 0*p = 0. Calculate p.
-8, 0
Determine a, given that 57 + 71 + 141*a - 38 + 54*a**2 + 3*a**3 = 0.
-15, -2, -1
Let b(x) be the first derivative of x**6/24 + 9*x**5/20 + 29*x**4/16 + 13*x**3/4 + 9*x**2/4 + 181. Find d, given that b(d) = 0.
-3, -2, -1, 0
Let q(c) = 55*c**3 - 10*c**2 + 35*c - 20. Let b(i) = -3*i**3 - i**2 + 1. Let j(k) = -20*b(k) - q(k). Solve j(u) = 0.
-7, 0, 1
Let t(p) = 9*p**3 - 25*p**2 + 28*p - 17. Let x(m) be the first derivative of -m**4/4 + m**3/3 + m + 13. Let c(d) = -t(d) - 5*x(d). Factor c(g).
-4*(g - 3)*(g - 1)**2
Suppose 0 = -2*y - y + 6. Let c be 190/50 - y/(-10). Factor 8*m**2 + 3*m**4 + 13*m**c - 10*m**3 - m**5 - 3*m**5 - 10*m**3.
-4*m**2*(m - 2)*(m - 1)**2
Let i(z) be the first derivative of 4*z**6/27 + 2*z**5/9 - 11*z**4/18 - 46*z**3/27 - 13*z**2/9 - 4*z/9 - 236. Find w such that i(w) = 0.
-1, -1/4, 2
Let q = -17263 - -120886/7. Factor 0 - q*h**3 + 0*h + 12*h**4 + 6/7*h**2.
3*h**2*(4*h - 1)*(7*h - 2)/7
Let r(q) be the third derivative of -q**5/12 + 5*q**4/2 - 30*q**3 - 2*q**2 + 115*q. Factor r(d).
-5*(d - 6)**2
Let q(y) be the first derivative of y**6/15 + 2*y**5/25 - 3*y**4/5 - 16. Solve q(c) = 0 for c.
-3, 0, 2
Suppose 2*t = -3 + 1. Let l(w) = -3*w - 1. Let n be l(t). Find g such that -9*g**n + 5*g**4 + 0*g**3 - g**3 - 6*g + 7*g**3 + 4*g**4 = 0.
-1, -2/3, 0, 1
Let g(l) be the third derivative of 1/30*l**5 + 0 - 11/6*l**3 - 6*l**2 + 0*l + 1/360*l**6 + 1/8*l**4. Let t(f) be the first derivative of g(f). Factor t(o).
(o + 1)*(o + 3)
Let m(r) be the third derivative of -r**7/399 + 17*r**6/570 - 23*r**5/190 + 3*r**4/19 + 74*r**2 + r. Factor m(d).
-2*d*(d - 3)**2*(5*d - 4)/19
Factor 1/4*w**4 + 207/2*w**2 - 405*w - 9*w**3 + 2025/4.
(w - 15)**2*(w - 3)**2/4
Let n(p) be the third derivative of 0 - 2/3*p**3 + 0*p - 1/60*p**5 - 1/6*p**4 - 13*p**2. Factor n(k).
-(k + 2)**2
Let b be 2 + 5 + 498/(-72). Let w(l) be the second derivative of 13*l - 1/60*l**6 + 0*l**3 + 0*l**5 + 0 - 1/4*l**2 + b*l**4. Factor w(p).
-(p - 1)**2*(p + 1)**2/2
Let a be -2 - (640/112)/((-6)/7). Determine j so that -8/3 - a*j**2 + 2*j**5 - 8*j + 6*j**3 + 22/3*j**4 = 0.
-2, -1, -2/3, 1
Factor 5*z**3 + 93*z**2 - 4*z**3 - 85*z**2 + 7*z.
z*(z + 1)*(z + 7)
Let f be 1/1 + 2/(2/7). Let u(x) = x**4 - x**2 + 3. Let l(h) = -3*h**4 + 3*h**2 - 8. Let k(z) = f*u(z) + 3*l(z). Factor k(d).
-d**2*(d - 1)*(d + 1)
Let x(z) = z**4 - z**3. Let g(v) = 6*v**5 + 46*v**4 + 32*v**3 - 92*v**2 - 40*v + 48. Let h(p) = 2*g(p) - 4*x(p). Let h(k) = 0. Calculate k.
-6, -2, -1, 2/3, 1
Let w = -263797/11 + 24003. Suppose 40/11*p**3 + w*p**2 + 162/11 + 360/11*p + 2/11*p**4 = 0. What is p?
-9, -1
Let w = 866 + -600. Let k = w + -264. Solve 0*x**k + 4/5 + 2/5*x**3 - 6/5*x = 0 for x.
-2, 1
Let i(x) be the second derivative of -x**6/50 + 12*x**5/25 - 21*x**4/10 + 4*x**3 - 39*x**2/10 + 150*x + 2. Factor i(w).
-3*(w - 13)*(w - 1)**3/5
Find l, given that 18/5*l**3 - 26/5*l + 2 - 18/5*l**2 = 0.
-1, 1/3, 5/3
Let x(i) be the first derivative of 5*i**6/18 + 43*i**5/10 + 35*i**4/8 - 19*i**3/9 - 2*i**2 - 94. Suppose x(c) = 0. Calculate c.
-12, -1, -2/5, 0, 1/2
Let r = -168 + 505/3. Factor -1/3 + a + r*a**3 - a**2.
(a - 1)**3/3
Suppose -98 - 196 = -42*k. Let w(d) be the second derivative of -1/36*d**4 - k*d + 0 - 2/9*d**3 - 2/3*d**2. Factor w(x).
-(x + 2)**2/3
Factor 128/5 - 2/5*p**3 - 32*p + 34/5*p**2.
-2*(p - 8)**2*(p - 1)/5
Let c(t) = 0*t - t + 2 - 4 - 9. Let l be c(-13). Factor -2 - 2*h + h**3 - 2 - 4*h**3 - h**3 + 10*h**l.
-2*(h - 2)*(h - 1)*(2*h + 1)
Let i(w) = 2*w**2 + 3*w - 2. Let h(p) = -8*p**2 - 13*p + 10. Let g(u) = -6*h(u) - 22*i(u). Factor g(r).
4*(r - 1)*(r + 4)
Let k(y) be the first derivative of -8/5*y**2 - 14/25*y**5 - 1/3*y**6 + 13/10*y**4 - 8/5*y - 6 + 22/15*y**3. Find t, given that k(t) = 0.
-2, -1, -2/5, 1
Let u be (-4944)/(-40) - 2/(-1). Let g = u - 124. Suppose g*l**2 + 8/5*l + 2/5 = 0. Calculate l.
-1/2
Let j(i) be the second derivative of -3*i**4/14 + 10*i**3/21 - i**2/7 - 7*i - 2. Factor j(a).
-2*(a - 1)*(9*a - 1)/7
Suppose -3*b - 17 = w, 2*w - 1 = -b - 10.