*p**2 - 2*p**4 = 0. What is p?
-1, 0, 3/4
Let c(l) be the first derivative of l**3/6 + 15*l**2/4 - 8*l + 429. Factor c(i).
(i - 1)*(i + 16)/2
Let b be 50/25 - -1*1. Let h(d) be the second derivative of 1/24*d**b + 1/16*d**4 + 0 + 4*d + 1/120*d**6 + 3/80*d**5 + 0*d**2. Factor h(j).
j*(j + 1)**3/4
Let c = -47 + 51. Solve l**5 + 9*l**5 - 9*l**2 - 6*l**5 + 12*l**c - 7*l**2 = 0 for l.
-2, 0, 1
Let n = -2492 + 10031/4. Let n*m**3 - 1/2 + 19/4*m - 15*m**2 = 0. Calculate m.
2/7, 1/3
Let m(b) be the first derivative of -16*b**5/35 - 137*b**4/7 - 1160*b**3/21 - 128*b**2/7 - 285. What is r in m(r) = 0?
-32, -2, -1/4, 0
Let o(l) = l**2 - l. Let w(j) = -15*j**4 - 20*j**3 - 8*j**2 + 3*j. Let i be ((-6)/(-4))/((-18)/(-4) - 3). Let y(u) = i*w(u) + 3*o(u). Solve y(x) = 0.
-1, -1/3, 0
Let w(t) = t**2 - 19*t + 47. Let h be w(8). Let f = -39 - h. Factor 2 + f*y + 1/2*y**2.
(y + 2)**2/2
Let h be 0/(-2 - 2) + 3. Solve 6*p**2 - 2*p**3 - 3*p**3 - 2*p**h - 2*p**3 + 3*p = 0.
-1/3, 0, 1
Suppose -3/2*m**4 + 9/2*m - 9/2*m**3 + 0 + 3/2*m**2 = 0. Calculate m.
-3, -1, 0, 1
Suppose -9*b + 204 = -111. Suppose -b*a + 31*a = 0. Factor -1/5*l**2 + 1/5*l**3 + a*l + 0.
l**2*(l - 1)/5
Let t = 31921/48 - 665. Let p(w) be the third derivative of -1/48*w**4 + 0*w**3 + 0 + 1/120*w**6 + 0*w - 4*w**2 - 1/280*w**7 + t*w**5. Factor p(v).
-v*(v - 2)*(v + 1)*(3*v - 1)/4
Let z(a) be the second derivative of -a**4/24 + 7*a**3/12 - 3*a**2/2 + 6*a + 7. Determine d so that z(d) = 0.
1, 6
Let h(p) = 2 + 16*p + 2*p**2 + 8*p - 40*p. Let j be h(8). Let -2/5 - 2/5*r**j + 4/5*r = 0. Calculate r.
1
Let a(g) be the first derivative of 12*g**5/25 + 15*g**4/4 + 18*g**3/5 - 111*g**2/10 - 6*g - 201. Find v, given that a(v) = 0.
-5, -2, -1/4, 1
Let g = -211 + 214. Let a(p) be the second derivative of 5/56*p**7 + 0 - 17/40*p**6 + 3/5*p**5 + 0*p**g + 0*p**2 - 1/4*p**4 + 2*p. Let a(y) = 0. Calculate y.
0, 2/5, 1, 2
Suppose 0 = -3*z + 5*x - 8, -8 = -4*z + x + 4. Let m(c) be the third derivative of z*c**2 + 0*c + 0*c**3 - 1/30*c**5 + 0 - 1/4*c**4. Solve m(s) = 0 for s.
-3, 0
Let u(n) = 10*n**2 + 2*n. Let x(d) be the first derivative of d**3 + d**2/2 - 13. Let s(w) = 4*u(w) - 14*x(w). Solve s(h) = 0 for h.
-3, 0
Let t(d) be the second derivative of -d**6/90 + 2*d**5/15 - 2*d**4/3 + 3*d**3/2 + 13*d. Let c(s) be the second derivative of t(s). Solve c(q) = 0 for q.
2
Let t = -264 + 267. Let h(z) be the third derivative of -1/60*z**6 + 0 - 2/15*z**5 - 5/12*z**4 - 2*z**2 + 0*z - 2/3*z**t. Determine d so that h(d) = 0.
-2, -1
Factor 0 - 3*v + 1/4*v**2 + 1/4*v**3.
v*(v - 3)*(v + 4)/4
Let g = 16 - 2. Suppose -5*a + 1 = 2*k + 22, a + 9 = 2*k. What is h in -h + 6*h**5 - 4*h**2 - 2*h**4 + 9*h**3 + 2*h**k - g*h**5 + 4*h**4 = 0?
-1, -1/4, 0, 1/2, 1
Let k(x) = x**3 + 6*x**2 + 4*x + 3. Let i be k(-5). Suppose -d + 2*n = 2*d - i, -5*d + 6 = 4*n. Solve 2/7*c**d - 6/7*c + 4/7 = 0 for c.
1, 2
Find d, given that -32/13*d**2 - 96/13 + 8*d + 2/13*d**3 = 0.
2, 12
Let c(a) = 4*a**3 - 8*a**2 - 16*a - 12. Let y(p) = -4*p**3 + 6*p**2 + 15*p + 11. Let j(k) = 3*c(k) + 4*y(k). Determine n so that j(n) = 0.
-1, 2
Find t such that -4 + 63*t**2 - 44*t**2 + 18*t**2 - 5*t - 28*t**3 = 0.
-1/4, 4/7, 1
Let r(c) be the first derivative of -7*c**4/10 - 122*c**3/15 - 16*c**2 + 56*c/5 - 448. Determine i so that r(i) = 0.
-7, -2, 2/7
Let k = 129 - 66. Suppose -13*h = -34*h + k. Factor 4/7*q**2 - 1/7*q + 3/7*q**h - 2/7.
(q + 1)**2*(3*q - 2)/7
Let q(d) be the second derivative of 0 - 1/147*d**7 + 13*d + 13/21*d**4 + 1/5*d**5 + 1/105*d**6 + 5/7*d**2 + 19/21*d**3. Factor q(o).
-2*(o - 5)*(o + 1)**4/7
Let z(n) be the second derivative of -13/30*n**4 + 2/5*n**2 + 0 - 11/15*n**3 + 3*n. Factor z(f).
-2*(f + 1)*(13*f - 2)/5
Let c(v) be the first derivative of -4 - 3*v + 3*v**2 + 0*v**3 - 3/2*v**4 + 3/5*v**5. What is d in c(d) = 0?
-1, 1
Let u(a) be the first derivative of a**5/10 + 13*a**4/24 + 19*a**3/18 + 11*a**2/12 + a/3 + 23. Factor u(o).
(o + 1)**2*(o + 2)*(3*o + 1)/6
Let f = -32 + 35. Find x, given that 2*x**f - 3*x**3 + 3*x**3 - 2*x**5 = 0.
-1, 0, 1
Let w be (31864/(-3640) - 11/(-1)) + (-2)/(-13). Factor -w*q**2 + 0 + 6*q**3 - 24/5*q - 9/5*q**4.
-3*q*(q - 2)**2*(3*q + 2)/5
Let w(m) be the first derivative of -2*m**5/35 + 10*m**4/7 - 78*m**3/7 + 162*m**2/7 - 285. Factor w(j).
-2*j*(j - 9)**2*(j - 2)/7
Let x(d) be the first derivative of -d**5/25 + 13*d**4/20 - 4*d**3/5 + 70. Find c such that x(c) = 0.
0, 1, 12
Let r(w) be the second derivative of -w**7/42 + 2*w**6/15 + 3*w**5/20 - 17*w**4/6 + 26*w**3/3 - 12*w**2 + 98*w. Let r(z) = 0. Calculate z.
-3, 1, 2
Let a(d) be the first derivative of d**4/2 - 20*d**3/3 + 16*d**2 + 105. Suppose a(w) = 0. Calculate w.
0, 2, 8
Let f = 5 + 22. Suppose -4*o = -o - f. Solve -9*m + 3*m**2 + 1 + o*m**3 + 5 - 9*m**2 = 0 for m.
-1, 2/3, 1
Let g(y) = 53*y**3 + 162*y**2 + 57*y. Let q(k) = -k**4 - 2*k**2 - k. Let f(v) = -g(v) - 5*q(v). Find t such that f(t) = 0.
-2, -2/5, 0, 13
Let d be (-2)/13 + (-238)/(-26). Suppose -5*k - d = -8*k. Determine n so that 4*n**3 - 10*n**3 + 6*n**3 - 8*n + 2*n**k = 0.
-2, 0, 2
Let l(p) be the second derivative of 12*p + 0 + 1/25*p**5 - 1/3*p**4 + 8/15*p**3 + 0*p**2. Factor l(f).
4*f*(f - 4)*(f - 1)/5
Solve 4 - 8*a**3 + 14*a**5 - 47*a - 4*a**2 + 53*a - 12*a**5 = 0 for a.
-1, 1, 2
Let s(i) be the second derivative of -1/2*i**3 + 1/8*i**4 + 0 + 23*i + 3/40*i**5 + 0*i**2. Solve s(b) = 0.
-2, 0, 1
Let x(t) be the second derivative of t**7/147 - 2*t**6/35 + 4*t**5/35 + t**4/7 - 3*t**3/7 - 3*t + 17. What is d in x(d) = 0?
-1, 0, 1, 3
Let c(p) be the third derivative of p**5/15 - 29*p**4/6 - 20*p**3 + p**2 - 51. Find s such that c(s) = 0.
-1, 30
Let t(f) be the second derivative of -5*f**7/42 + 5*f**5/4 - 10*f**3/3 + 2*f - 45. Find s, given that t(s) = 0.
-2, -1, 0, 1, 2
Let g(i) be the first derivative of -i**4/4 + 17*i**3 - 312*i**2 - 676*i + 184. Let g(p) = 0. What is p?
-1, 26
Let r(c) be the first derivative of c**4/2 + 2*c**3 - 8*c + 102. Factor r(i).
2*(i - 1)*(i + 2)**2
Let p(c) be the second derivative of -2*c + 0*c**3 + 0*c**4 + 0*c**5 - 2*c**2 + 1/40*c**6 + 0. Let n(y) be the first derivative of p(y). Solve n(a) = 0.
0
Let o(m) be the third derivative of -m**6/40 + m**5/10 + 132*m**2. Factor o(i).
-3*i**2*(i - 2)
Let d(h) be the first derivative of -h**4/16 + 11*h**3/12 - 39*h**2/8 + 45*h/4 - 730. Factor d(r).
-(r - 5)*(r - 3)**2/4
Let n(t) = t**5 - 2*t**4 + t**3 - t**2 + t. Let a(f) = 4*f**5 - 12*f**4 + 14*f**3 - 10*f**2 + 4. Let v(w) = 2*a(w) - 12*n(w). Let v(x) = 0. Calculate x.
-2, -1, 1
Let r(i) be the second derivative of 3*i**5/80 - 33*i. Factor r(y).
3*y**3/4
Let l(x) be the first derivative of -x**6/36 - x**5/15 + x**4/8 + 4*x**3/9 + x**2/3 - 55. Suppose l(d) = 0. What is d?
-2, -1, 0, 2
Let i(q) be the first derivative of -q**4/18 + 10*q**3/9 - 25*q**2/3 - 16*q + 25. Let l(a) be the first derivative of i(a). Factor l(x).
-2*(x - 5)**2/3
Let q(p) be the second derivative of p**6/240 - p**5/32 + 3*p**4/32 - 7*p**3/48 + p**2/8 - 34*p. Determine g, given that q(g) = 0.
1, 2
Let p(i) = i**3 + 18*i**2 + i - 12. Let l be p(-20). Let c = 14152/17 + l. Let -8/17 + 6/17*b**2 - c*b = 0. What is b?
-2/3, 2
Let j be 4/2 + (-25 - -25). Let d(w) be the first derivative of 0*w - 2/5*w**3 + 1/2*w**6 + 24/25*w**5 + 5 + 0*w**j + 3/20*w**4. What is u in d(u) = 0?
-1, 0, 2/5
Let d(a) be the second derivative of -a**5/20 + a**4/3 + a**3/6 - 2*a**2 + 388*a + 1. Solve d(p) = 0.
-1, 1, 4
Let f be 4/6 - 240/36. Let w = f + 9. Factor 2 + 5*d**2 - 4 - w*d**2.
2*(d - 1)*(d + 1)
Determine n, given that -69*n - n**2 + 12 - 3*n**2 + 61*n = 0.
-3, 1
Let l(i) be the first derivative of i**3/3 + 22*i**2 + 484*i + 34. Factor l(j).
(j + 22)**2
Let y = 6649/66690 + 2/6669. Suppose -2/5 - 1/10*a + y*a**3 + 2/5*a**2 = 0. What is a?
-4, -1, 1
Let w(g) = -g + 1. Let i be w(-1). Suppose -30 = -i*c - 0*c. Find v such that -c*v**2 + 10*v + 12*v**2 - 4*v = 0.
0, 2
Let i(r) be the first derivative of 0*r**2 + 2/5*r**3 - 22 - 2/5*r**4 + 2/25*r**5 + 0*r. Factor i(g).
2*g**2*(g - 3)*(g - 1)/5
Let b(o) be the second derivative of -o**6/6 - 3*o**5/2 - 15*o**4/4 + o + 79. Suppose b(v) = 0. Calculate v.
-3, 0
Let c(n) be the first derivative of -n**3 + n**2 - n - 18. Let w(j) = -4*j**2 + 3*j - 2. Let b(u) = -6*c(u) + 4*w(u). Suppose b(i)