 - 2)**2/2
Let p(w) be the second derivative of -w**6/1620 + w**5/54 - 25*w**4/108 - 7*w**3/3 - 10*w. Let x(c) be the second derivative of p(c). Factor x(z).
-2*(z - 5)**2/9
Let q(i) be the second derivative of 0 - 24*i**2 - 19*i - 1/4*i**4 - 4*i**3. Factor q(t).
-3*(t + 4)**2
Let z(q) = q**2 + 1. Let y(t) = t**3 + 2*t**2 - 4*t + 7. Let o be 24/14*77/22. Let v(x) = o*z(x) - 2*y(x). Let v(f) = 0. What is f?
-2, 1, 2
Let r(z) be the first derivative of -6 - 3/2*z**2 - 1/24*z**4 - 1/60*z**5 + 0*z + 0*z**3. Let y(b) be the second derivative of r(b). Factor y(p).
-p*(p + 1)
What is q in -65 - 5*q**3 - 300*q + 70*q**2 - 67 + 232 + 260 = 0?
2, 6
Let c(x) = -x**3 - x**2 + x + 1. Let y = -58 + 28. Let o(g) = 5*g**3 + 5*g**2 - 5*g - 5. Let a(j) = y*c(j) - 5*o(j). Solve a(w) = 0.
-1, 1
Let p(u) = -1. Let v(o) = 12*o**3 + 52*o**2 - 112*o + 50. Let j(y) = 2*p(y) + v(y). Suppose j(c) = 0. Calculate c.
-6, 2/3, 1
Let t(p) = -328*p**3 + 1900*p**2 - 3522*p + 1934. Let m(o) = 2*o**3 + 4*o**2 + o + 1. Let w(n) = 2*m(n) + t(n). Factor w(l).
-4*(l - 1)*(9*l - 22)**2
Solve 5*f**4 + 20*f**4 + 64*f**3 - 155*f**2 + 43*f**3 + 20 + 65*f**4 - 2*f**3 = 0 for f.
-2, -1/3, 1/2, 2/3
Let k(t) = 5*t**2 + 365*t + 360. Let n(i) = -2*i**2 - 183*i - 181. Let h(w) = -3*k(w) - 5*n(w). Factor h(v).
-5*(v + 1)*(v + 35)
Let y(a) be the first derivative of 16/7*a**3 + 4/7*a**4 + 32/7*a**2 + 32/7*a + 2/35*a**5 + 11. Factor y(x).
2*(x + 2)**4/7
Suppose 4*o + 16 = 0, 2 + 58 = 4*j - 5*o. Let r(f) = -f + 10. Let h be r(j). Factor -2/3*d**2 + 7/3*d**3 + h*d + 0.
d**2*(7*d - 2)/3
Let s(n) be the second derivative of 4*n**6/3 - 27*n**5/10 - 58*n**4/15 - 9*n**3/5 - 2*n**2/5 + 12*n - 2. Let s(b) = 0. What is b?
-1/4, -1/5, 2
Let c(d) = -6*d**2 + 16*d + 10. Let v(h) = h**2 - h + 1. Let k(p) = c(p) + 4*v(p). Factor k(i).
-2*(i - 7)*(i + 1)
Factor -184*j**3 - 2*j**4 + 184*j**3 + 3*j**5 - 4*j**5.
-j**4*(j + 2)
Let y(c) = 44*c**3 + 4*c**2 + 24*c. Let k(i) = -4*i + i**2 + 13*i - 4*i + 9*i**3. Let l(z) = 24*k(z) - 5*y(z). What is o in l(o) = 0?
0, 1
Let u = 38727/6920 + 5/1384. Let 8/5*w**2 - 8/5*w**4 + 0 + 0*w + u*w**5 - 28/5*w**3 = 0. Calculate w.
-1, 0, 2/7, 1
Let t(f) = 15*f**2 - 18*f. Let y(r) = 5*r - r**2 + 6*r - 10*r. Let x(z) = t(z) + 12*y(z). Factor x(n).
3*n*(n - 2)
Let c be 3/(1 + -3 - -3). Suppose 3*t**3 - 8*t**c + 11*t**4 - 6*t**4 = 0. Calculate t.
0, 1
Let y(j) be the second derivative of j**4/12 - 2*j**3/3 - 29*j. Factor y(r).
r*(r - 4)
Let u = 20 - 15. Let y = u + -3. Factor -6*c**2 + y*c**2 - 4*c + 2*c**2 - 2.
-2*(c + 1)**2
Let t(g) be the second derivative of g**6/1620 + g**5/180 + 29*g**3/6 + 25*g. Let h(x) be the second derivative of t(x). Factor h(j).
2*j*(j + 3)/9
Let x be ((-18)/10)/((-206)/(-1030)) + 15 + -2. Factor -2/3*t**5 + 0 + 0*t**2 + 0*t - 4/3*t**3 - 2*t**x.
-2*t**3*(t + 1)*(t + 2)/3
Let w(c) = 5*c**5 + 21*c**4 - 5*c**3 - 21*c**2 + 6. Let q(y) = -5*y**5 - 22*y**4 + 5*y**3 + 22*y**2 - 7. Let z(o) = 6*q(o) + 7*w(o). Solve z(h) = 0.
-3, -1, 0, 1
Suppose 3*c = 4*r + 49, 0 = -2*r + 3*r + 1. Factor -c*x + 3*x**3 + 3*x**2 + 5*x + 4*x.
3*x*(x - 1)*(x + 2)
Let b(w) be the first derivative of 2*w**3/21 + 8*w**2 - 362. Find p, given that b(p) = 0.
-56, 0
Let l be (-777)/(-85) + 1 + 36/(-30). Determine j so that 174/17*j**2 + 252/17*j**3 + 24/17 - 98/17*j**4 - l*j = 0.
-1, 2/7, 3
Let p = 141 - 136. Let h(q) be the second derivative of -3/4*q**4 - 3/4*q**p - 1/5*q**6 + 1/2*q**3 + 0 + 3/2*q**2 + 5*q. Solve h(k) = 0 for k.
-1, 1/2
Let n(f) = -f**3 - 11*f**2 + 28*f - 3. Let a be n(-19). Suppose 2341*p**2 + 0 - 8*p - 2*p**4 - 8*p**3 - 2 - a*p**2 = 0. What is p?
-1
Factor 10 + 0*g - 5/2*g**2.
-5*(g - 2)*(g + 2)/2
Let w(y) be the first derivative of -14 + 0*y + 1/10*y**2 + 1/15*y**3. Factor w(z).
z*(z + 1)/5
Let a(n) be the third derivative of -n**5/330 - n**4/2 - 33*n**3 - 93*n**2. Let a(w) = 0. What is w?
-33
Let f(l) be the first derivative of -21*l**5/25 + 3*l**4/5 + 21*l**3/5 + 3*l**2/5 - 24*l/5 - 51. Determine r so that f(r) = 0.
-1, 4/7, 2
Let x = 155 + -150. Factor -100*p**4 + 8*p**3 - 6 + x + 104*p**4 - 8*p - 3.
4*(p - 1)*(p + 1)**3
Let u(b) be the third derivative of -b**10/453600 - b**9/60480 + b**7/3780 - 2*b**5/15 - 14*b**2. Let m(w) be the third derivative of u(w). Factor m(q).
-q*(q - 1)*(q + 2)**2/3
Factor -5/3*p + 1/3*p**2 + 0.
p*(p - 5)/3
Let h(r) be the second derivative of 2*r**4/3 + 52*r**3/3 - 344*r**2 + 19*r. Let t(b) = b**2 - 1. Let n(v) = -h(v) + 12*t(v). Factor n(z).
4*(z - 13)**2
Let z(p) be the first derivative of 0*p + 1/18*p**3 + 1/6*p**2 - 7. Factor z(v).
v*(v + 2)/6
Let u(o) be the first derivative of 6*o + 2 + 1/27*o**3 + 0*o**2 + 1/10*o**5 + 1/9*o**4. Let t(m) be the first derivative of u(m). Factor t(h).
2*h*(3*h + 1)**2/9
Let q be 6495/(-4)*16/48. Let r = 548 + q. Find p such that 9/2*p - 3/4*p**2 - r = 0.
3
Let g(d) be the second derivative of -2*d**6/15 - 2*d**5/5 + 4*d**4/3 + 4*d**3/3 - 6*d**2 - 662*d. Solve g(v) = 0.
-3, -1, 1
Find a, given that -1/4 - 7/2*a**3 - 13/8*a**2 + 13/8*a = 0.
-1, 1/4, 2/7
Let x(t) be the second derivative of t**5/80 - 5*t**4/24 - 13*t**3/6 - 7*t**2 - 184*t. Suppose x(o) = 0. What is o?
-2, 14
Factor 1/5*k**2 - 2/5 - 3/5*k + 1/5*k**4 + 3/5*k**3.
(k - 1)*(k + 1)**2*(k + 2)/5
Let q(a) = -90*a**2 + 3936*a - 161508. Let i(o) = -11*o**2 + 492*o - 20188. Let s(h) = 33*i(h) - 4*q(h). Let s(p) = 0. Calculate p.
82
Suppose -3*i + 3*r + 87 = 0, 5*i + 2*r = -r + 177. Let z = i + -33. Let 0 + 0*w + z*w**2 - 2/3*w**5 - 2/3*w**3 + 4/3*w**4 = 0. What is w?
0, 1
Factor -1/7*v**3 + 36/7 + 13/7*v**2 - 48/7*v.
-(v - 6)**2*(v - 1)/7
Let g = -1773/133 + 1321309/89110. Let c = g + 1/335. Let -3/2 + 0*k + c*k**2 = 0. Calculate k.
-1, 1
Let d(b) be the first derivative of b**4/8 - 2*b**3/3 - 159. Factor d(i).
i**2*(i - 4)/2
Let x(f) be the first derivative of -2 - 8/3*f**2 - 32/3*f - 2/9*f**3. Factor x(w).
-2*(w + 4)**2/3
Suppose 7*x - 3*z - 147 = 0, 14*z = 3*x + 16*z - 40. Determine u, given that -9/4*u**3 + x - 3/4*u**4 + 21*u + 9/2*u**2 = 0.
-2, 3
Let d = 4381/6 + -730. What is w in -w**3 - 2/3*w**4 + 0 - d*w - 1/6*w**5 - 2/3*w**2 = 0?
-1, 0
Let i(y) be the third derivative of 14*y**2 - 1/60*y**5 + 1/1344*y**8 + 0*y - 1/210*y**7 + 0*y**3 + 1/96*y**4 + 0 + 1/80*y**6. Determine b so that i(b) = 0.
0, 1
Let q(h) be the third derivative of 0*h - 5/4*h**4 - 7/12*h**5 + 1/8*h**6 + 17*h**2 + 0 + 0*h**3. Find o, given that q(o) = 0.
-2/3, 0, 3
Let n(c) = 5*c**2 - c + 4. Suppose 0 = -l + 1, -l = -j - 16 + 6. Let p(o) = 0*o - 9 - 2*o - 9*o**2 + 5*o. Let f(w) = j*n(w) - 4*p(w). Factor f(k).
-3*k*(3*k + 1)
Let w(f) be the first derivative of -f**4/12 + 113*f**3/3 - 12769*f**2/2 + 1442897*f/3 - 522. Let w(b) = 0. What is b?
113
Let d(p) be the first derivative of -12/17*p - 15 - 1/34*p**4 - 1/17*p**2 + 8/51*p**3. Factor d(j).
-2*(j - 3)*(j - 2)*(j + 1)/17
Let b = 2/1039 + 3109/4156. Let o(i) be the first derivative of 9/2*i**2 + 6*i - b*i**4 + 0*i**3 + 4. Let o(w) = 0. Calculate w.
-1, 2
Let h = 8 - 6. Let -9*f**2 + 37*f - 33*f + 4*f**3 + f**h = 0. Calculate f.
0, 1
Let t(s) = -3*s**4 - 21*s**3 + 3*s**2 + 33*s + 6. Let o(a) = -a**4 - a**3 - a**2 + a + 1. Let n(h) = -6*o(h) + t(h). Find k such that n(k) = 0.
-1, 0, 3
Let o(n) = -16*n**3 + 86*n**2 + 784*n + 686. Let d(y) = -y**4 + 80*y**3 - 431*y**2 - 3920*y - 3430. Let q(v) = 4*d(v) + 22*o(v). Factor q(m).
-4*(m - 7)*(m + 1)*(m + 7)**2
Let b(w) be the third derivative of w**8/336 + 17*w**7/840 + w**6/20 + 13*w**5/240 + w**4/48 + 3*w**2 - 1. What is a in b(a) = 0?
-2, -1, -1/4, 0
Let f be (-2)/7 + (-54)/7. Let b be (-1 + -3)*6/f. Factor 3*p**2 + p - 3*p + 4*p**3 + p**b.
p*(p + 1)*(5*p - 2)
Let q(c) be the second derivative of -5*c**4/12 - 45*c**3/2 + 145*c**2 - 5*c - 47. Find n such that q(n) = 0.
-29, 2
Let i be -2*(-3)/(-14)*(-79)/(-18). Let c = 13/6 + i. Let 0 - c*j**5 + 0*j + 6/7*j**4 + 2/7*j**2 - 6/7*j**3 = 0. What is j?
0, 1
Let m(c) = -7*c**2 - 25*c + 3. Let v(a) = -9*a**2 - 27*a + 4. Let t(p) = -4*m(p) + 3*v(p). Factor t(n).
n*(n + 19)
Let c(t) = 4*t**4 + t**3 - 20*t**2 - 67*t + 72. Let q(i) = -i**4 - i**3 + 6*i**2 + 22*i - 24. Let z(x) = 2*c(x) + 7*q(x). Let z(a) = 0. Calculate a.
-2, 2, 3
Let v(l) be the third derivative of 0 + 5/126*l**7 + 1/36*l**5 + 0*l**3 - 4*l**2 + 0*l + 1/9*l**6 - 5/36*l**4