2*p**2 - 3/2*p**4 + 6 + 9/2*p**5 - 28*p - g*p**3 = 0. What is p?
-3, 2/3, 1
Let o = -629 + 629. Let s(v) be the first derivative of -2 + o*v**2 + 0*v - 8/75*v**5 - 1/45*v**6 + 0*v**3 - 2/15*v**4. Suppose s(q) = 0. What is q?
-2, 0
Let r(p) be the third derivative of p**8/84 + 2*p**7/105 - p**6/5 - 14*p**5/15 - 11*p**4/6 - 2*p**3 - 78*p**2. Factor r(b).
4*(b - 3)*(b + 1)**4
Let m = 44 - 21. Let q = m - 23. Let 2/3*w**2 - 2/9*w**3 + q - 4/9*w = 0. Calculate w.
0, 1, 2
Let s be (-1 + -4)*(-16)/(-5). Let v be (-1)/(((-6)/s)/3*-2). Solve -4/3*l**2 - v*l - 8/3 = 0.
-2, -1
Let o(n) be the third derivative of n**6/24 + 5*n**5 + 375*n**4/2 - 14*n**2 + 1. Factor o(q).
5*q*(q + 30)**2
Let i(g) be the first derivative of -g**3/21 + 13*g**2/14 - 63. Factor i(d).
-d*(d - 13)/7
Let q(f) be the second derivative of f**5/15 + f**4 + 6*f**3 - 6*f**2 + 4*f. Let t(a) be the first derivative of q(a). Find z such that t(z) = 0.
-3
Determine d, given that -80 - 760*d**4 - 165299*d**5 - 2285*d**2 - 2285*d**3 - 309*d - 451*d + 165219*d**5 = 0.
-4, -1, -1/4
Factor 917*t - 478*t + 5*t**2 - 345 - 99*t.
5*(t - 1)*(t + 69)
Let v(f) be the second derivative of -3*f**5/100 - f**4/5 + f**3/2 + 3*f + 5. Factor v(q).
-3*q*(q - 1)*(q + 5)/5
Let u(d) be the first derivative of -2*d**5/55 - 3*d**4/11 + 2*d**2 - 30*d/11 - 55. Determine y so that u(y) = 0.
-5, -3, 1
Let h(n) be the third derivative of -n**7/5040 - n**6/180 - n**5/15 + 3*n**4/8 + 10*n**2. Let k(s) be the second derivative of h(s). Factor k(t).
-(t + 4)**2/2
Let l(n) = n + 2. Let v(r) = -2*r**3 + 114*r**2 - 2*r - 4. Let g(t) = -2*l(t) - v(t). Solve g(w) = 0.
0, 57
Let d(x) be the first derivative of -42 + 30*x + 51/2*x**2 + 3/4*x**4 + 8*x**3. Solve d(a) = 0.
-5, -2, -1
Let a(f) be the second derivative of 0 + 0*f**3 - 1/3*f**4 + 0*f**2 - 1/42*f**7 + 1/10*f**6 - 27*f + 0*f**5. Solve a(k) = 0 for k.
-1, 0, 2
Let q(p) be the third derivative of 4*p**7/175 - 27*p**6/200 + 33*p**5/100 - 17*p**4/40 + 3*p**3/10 - 26*p**2. Solve q(g) = 0.
3/8, 1
Determine n, given that 80/3*n - 62/3*n**2 - 1/3*n**4 - 11 + 16/3*n**3 = 0.
1, 3, 11
Let y(d) be the second derivative of 5*d**7/42 + 47*d**6/6 + 239*d**5/2 - 4315*d**4/6 + 9125*d**3/6 - 3125*d**2/2 + 298*d. Factor y(i).
5*(i - 1)**3*(i + 25)**2
Let y(w) = -2*w**4 - 11*w**3 - 3*w**2 - 3*w. Let b(p) = -p**4 - 8*p**3 - 4*p**2 - 4*p. Let v(i) = 3*b(i) - 4*y(i). Factor v(t).
5*t**3*(t + 4)
Let j(b) be the second derivative of -3*b**5/40 - 41*b**4/8 - 399*b**3/4 + 1323*b**2/4 - 85*b - 2. Suppose j(g) = 0. What is g?
-21, 1
Let f(d) be the third derivative of -d**5/12 + 25*d**4/6 + 110*d**3/3 + 334*d**2. Factor f(r).
-5*(r - 22)*(r + 2)
Let y(l) be the first derivative of 5*l**6/24 + 4*l**5 + 315*l**4/16 - 20*l**3/3 - 40*l**2 + 20. Determine q, given that y(q) = 0.
-8, -1, 0, 1
Let i(w) = 25*w**3 - 31*w**2 + 4*w - 7. Let z(y) = -13*y**3 + 15*y**2 - 2*y + 4. Let g(l) = 4*i(l) + 7*z(l). Suppose g(t) = 0. What is t?
0, 1/9, 2
Factor -763*p - 2*p**4 + 11097*p + 109*p**3 + 62500 + 108*p**3 - 71*p**3 - 3450*p**2 + 13416*p.
-2*(p - 25)**3*(p + 2)
Let t(s) = 3*s**2 + 3*s + 2. Let f be t(-1). Factor -1 + y**2 + y**f + 10*y**4 + 4*y**5 + 8*y**3 + 1.
2*y**2*(y + 1)**2*(2*y + 1)
Let d be (182/(-455))/(-1 - 1). Let u(m) be the third derivative of 0 + 0*m + 4*m**4 + d*m**6 + 6/5*m**5 + 8*m**3 + 5*m**2 + 1/70*m**7. What is c in u(c) = 0?
-2
Let m be (-2)/24 + 1700/816. What is s in 0 - 3/2*s + 1/2*s**m = 0?
0, 3
Let r(a) be the third derivative of -a**8/840 - 11*a**7/525 - 43*a**6/300 - 77*a**5/150 - 16*a**4/15 - 4*a**3/3 - 2*a**2 + 61*a. Find i, given that r(i) = 0.
-5, -2, -1
Let y(n) be the first derivative of n**4/4 + 2*n**3/3 - 11*n**2/8 + 3*n/4 - 347. Let y(l) = 0. What is l?
-3, 1/2
Let i be (1/(-4))/((-75)/160). Let i + 22/15*n**3 - 14/15*n**2 + 2/5*n**4 - 22/15*n = 0. What is n?
-4, -1, 1/3, 1
Let t = 74 + -43. Find y such that -19*y**2 + 8*y - t*y**2 + 8*y**2 + 36*y**3 - 2*y**2 = 0.
0, 2/9, 1
Let p(q) be the second derivative of -q**5/30 - q**4/18 + 49*q**3/9 + 49*q**2/3 - 36*q. Factor p(c).
-2*(c - 7)*(c + 1)*(c + 7)/3
Let c(q) be the first derivative of q**6/960 + q**5/64 - 8*q**3 + 18. Let b(p) be the third derivative of c(p). Let b(i) = 0. What is i?
-5, 0
Let j(x) = -2*x + 42. Let d be 29/(-6) - 5/30 - -24. Let l be j(d). Find p, given that 1/6*p**l + 0 - 1/3*p**2 + 0*p - 1/6*p**3 = 0.
-1, 0, 2
Let q(l) be the first derivative of l**4 + 16*l**3/3 + 2*l**2 - 24*l + 30. Factor q(x).
4*(x - 1)*(x + 2)*(x + 3)
Suppose -5*o - 2*g + 53 = 0, -5*g = 5*o - 34 - 16. Suppose o = -t + 16. Suppose 5*j**4 + j**t - 4*j**4 + 0*j**5 - j**2 - 2*j**3 + j**3 = 0. What is j?
-1, 0, 1
Find w such that 48 + w + 44 + 7*w - 2*w - 3*w**2 - 83 = 0.
-1, 3
Let d = -41 + 45. Let 40*r**d + 34*r**4 + 2*r**3 - 75*r**4 = 0. Calculate r.
0, 2
Let s(t) be the third derivative of t**7/1155 - t**6/110 + t**5/110 + 5*t**4/66 + 72*t**2. Factor s(y).
2*y*(y - 5)*(y - 2)*(y + 1)/11
Let l(b) = 22*b**3 - 16*b**2 - 28*b - 4. Let o(h) = -8*h**3 + 5*h**2 + 9*h + 1. Let w(p) = 5*l(p) + 14*o(p). Let w(j) = 0. Calculate j.
-3, -1
Let n(v) be the second derivative of v**9/30240 + v**8/13440 - 5*v**4/12 + 4*v. Let g(o) be the third derivative of n(o). Factor g(x).
x**3*(x + 1)/2
Factor 263 + 5*g**3 - 8*g**3 - 110*g**2 - 2*g**3 - 700*g - 1263.
-5*(g + 2)*(g + 10)**2
Let 124*p + 1922/7 + 14*p**2 = 0. Calculate p.
-31/7
Let o(c) be the first derivative of 2*c**6/15 - c**4/3 + 16*c + 9. Let q(w) be the first derivative of o(w). Factor q(z).
4*z**2*(z - 1)*(z + 1)
Let a(x) be the first derivative of 2*x**5/35 - 6*x**4/7 + 92*x**3/21 - 60*x**2/7 + 50*x/7 - 539. Let a(j) = 0. What is j?
1, 5
Let u(c) be the second derivative of 1/30*c**4 - 1/30*c**6 - 3/50*c**5 + 0 + 3/10*c**2 + 7/30*c**3 - 1/210*c**7 + 12*c. Find z, given that u(z) = 0.
-3, -1, 1
Let l(i) be the second derivative of i**6/360 + i**5/60 + i**4/36 + 11*i**2/2 - 3*i. Let y(v) be the first derivative of l(v). Determine u, given that y(u) = 0.
-2, -1, 0
Let b = 21 - 17. Suppose -4*s = -4*g + 8, -b*g = 10*s - 5*s + 10. Factor g + l - 1/2*l**2.
-l*(l - 2)/2
Let h = 1/568 + 141/568. Find p such that h*p**4 + 2*p**3 + 25/4 + 3/2*p**2 - 10*p = 0.
-5, 1
Let d(c) = c**5 + 2*c**4 - c**3 + 4*c**2 + 2. Let j(z) = -3*z**5 - 5*z**4 + 3*z**3 - 10*z**2 - 5. Let l(k) = -5*d(k) - 2*j(k). Factor l(v).
v**3*(v - 1)*(v + 1)
Let h(v) be the first derivative of 3*v**4/8 - 93*v**3/2 + 8649*v**2/4 - 89373*v/2 - 27. Factor h(i).
3*(i - 31)**3/2
What is l in -1/5*l**2 + 2/5*l**3 - 2/5 - l = 0?
-1, -1/2, 2
Let l(y) be the second derivative of -5*y**4/12 - 5*y**3 - 20*y**2 - 255*y. Factor l(c).
-5*(c + 2)*(c + 4)
Let a(j) = -175*j**2 + 400*j - 180. Let f(v) = -25*v**2 + 57*v - 26. Let t(q) = -3*a(q) + 20*f(q). What is d in t(d) = 0?
2/5, 2
Let f(l) be the first derivative of l**5 - 10*l**4 + 10*l**3 + 20*l**2 - 35*l + 203. Solve f(k) = 0 for k.
-1, 1, 7
Let j be 2/(2 - (-2)/(-2)). Let z = 1 + j. Find i such that 2*i**4 + 3*i**3 - 5*i**3 - z*i**4 - i**2 = 0.
-1, 0
Let p(q) be the second derivative of 1/30*q**6 + 0 - 1/20*q**5 + 0*q**2 - 1/6*q**4 - 7*q + 0*q**3. Factor p(l).
l**2*(l - 2)*(l + 1)
Let o(a) be the second derivative of a**6/2 - 22*a**5 - 255*a**4/4 - 155*a**3/3 - 592*a. Determine c so that o(c) = 0.
-1, -2/3, 0, 31
Factor 56 - 4*m**2 - 132*m - 10*m**2 - 5*m**2 - m**2.
-4*(m + 7)*(5*m - 2)
Suppose 7*c - 35 = -14. Suppose -5 - c = -4*y. Solve 0 - 1/3*h**3 - h**y + h**4 + 1/3*h = 0.
-1, 0, 1/3, 1
Let z(a) = 7*a**2 + 4*a - 9. Let h be 4 + 1/(1/(-2)). Let w be h/(-4)*-2*-6. Let p(v) = 15*v**2 + 9*v - 19. Let s(j) = w*p(j) + 13*z(j). What is o in s(o) = 0?
-1, 3
Let b(h) be the first derivative of 5 + 0*h**3 + 3/5*h**5 - 3*h**2 + 3/2*h**4 - 3*h. Find t, given that b(t) = 0.
-1, 1
Let c be (-2 - (-5 - 0))/(42/8344). Let g = -2 - -4. Factor 8*a - c - 12*a**g + 596.
-4*a*(3*a - 2)
Let m(s) be the first derivative of -s**6/120 + s**4/24 + 3*s**2 - 17. Let k(p) be the second derivative of m(p). Factor k(r).
-r*(r - 1)*(r + 1)
Determine c, given that 3/5*c**2 + 15 - 6*c = 0.
5
Suppose -27*s - 82 = -68*s. Factor -3/8*w**3 - 3/8*w**s - 1/8*w + 0 - 1/8*w**4.
-w*(w + 1)**3/8
Let m = 5557/4 + -16667/12. Let -1/3*f**2 + m - 2/3*f**3 + 2/3*f = 0. What is f?
-1, -1/2, 1
Let a(i) = 2*i**2 + 6*i. Let s(u) = -2*u**2 - 7