hat is p in i(p) = 0?
-1, 0, 1
Let i = -45/13 + 283/78. Determine n, given that -1/6*n**2 + 0 + i*n**4 - 1/6*n**3 + 1/6*n**5 + 0*n = 0.
-1, 0, 1
Let r(c) be the first derivative of -3/4*c**4 - 18*c + 39 + 15*c**2 - 7/2*c**3 + 3/10*c**5. Let r(a) = 0. What is a?
-3, 1, 2
Factor -18/5 + 33/5*g + 3/5*g**3 - 18/5*g**2.
3*(g - 3)*(g - 2)*(g - 1)/5
Solve -480/11*o + 136/11 + 14/11*o**2 = 0.
2/7, 34
Let s(t) be the second derivative of 0*t**2 + 2/15*t**6 + 0*t**5 + 7*t - t**4 - 4/3*t**3 - 1. Factor s(h).
4*h*(h - 2)*(h + 1)**2
Suppose s = -7*s + 64. Let k be ((-7)/21)/(-1) + s/3. Factor 3/2*t**2 - 3/2*t**4 + 0 - k*t + 3*t**3.
-3*t*(t - 2)*(t - 1)*(t + 1)/2
Let p(l) be the third derivative of l**8/168 + 4*l**7/35 + 37*l**6/60 - 3*l**5/5 - 32*l**4/3 + 32*l**3 - 2*l**2 + 127*l. Find m such that p(m) = 0.
-6, -4, 1
Let s(k) = -48*k**2 + 168*k - 150. Let u(r) = 104*r - 149 + 64*r - 29*r**2 - 19*r**2. Let f(c) = 2*s(c) - 3*u(c). Factor f(b).
3*(4*b - 7)**2
Let m(s) be the third derivative of s**7/42 + 5*s**6/24 + s**5/6 - 5*s**4/3 - 37*s**2. Factor m(x).
5*x*(x - 1)*(x + 2)*(x + 4)
Let q(v) be the third derivative of v**7/1155 - v**5/165 + v**3/33 - 85*v**2. Factor q(w).
2*(w - 1)**2*(w + 1)**2/11
Let i(b) = -b**3 + 5*b**2 + 4*b - 4. Let n be i(4). Let d be (n/4 - 4)/5. Factor -d + 3*u**2 + 12/5*u.
3*(u + 1)*(5*u - 1)/5
Let x(z) = -3*z**2 - z - 2. Let s(c) be the third derivative of c**5/60 + c**3/6 + 18*c**2. Let b(t) = -6*s(t) - 3*x(t). Factor b(r).
3*r*(r + 1)
Let j(a) = -a**3 + 9*a**2 + 9*a + 7. Let d be j(10). Let x be d/2*24/(-198). What is h in 4/11*h**4 + 2/11*h**5 + 0*h + x*h**3 + 0 + 0*h**2 = 0?
-1, 0
Let c(l) = 0*l**3 - 4 - l**3 + 5*l**2 + 10 - 4. Let z be c(5). Find p, given that -6*p - 2 + 2 + 74*p**z - 71*p**2 = 0.
0, 2
Let i(s) = -s**3 + 7*s**2 - 4*s - 11. Let b be i(6). Solve 1/2*w**4 - 5/2*w + 1/2*w**3 - 3/2*w**2 - b = 0 for w.
-1, 2
Factor 0*n - 5/2*n**4 + 2*n**2 - 4*n**3 + 0.
-n**2*(n + 2)*(5*n - 2)/2
Let k(r) = -r**3 + r**2 - 4*r + 3. Let l be k(2). Let z = l - -10. Factor -z - p - p**2 + p + 2*p.
-(p - 1)**2
Let m = -130 + 130. Let w(y) be the first derivative of 0*y + 4/5*y**5 + 1/3*y**6 + 1/2*y**4 + m*y**3 + 0*y**2 + 1. Factor w(v).
2*v**3*(v + 1)**2
Let d(x) = -5*x**4 + 10*x**3 - 15*x**2 + 14*x - 1. Let m(l) = -29*l**4 + 60*l**3 - 91*l**2 + 84*l - 7. Let t(y) = -34*d(y) + 6*m(y). Solve t(j) = 0 for j.
1, 2
Suppose -2*k - k - 4*q + 58 = 0, -k - 3*q + 26 = 0. Let w be 62/k + 9/(-21). Factor -3*g**4 + g**w + 2*g**3 + 2*g**2 - 2*g**5 + 0*g**5.
-2*g**2*(g - 1)*(g + 1)**2
Suppose 11/4*q**3 - 4*q + 33/4*q**4 + 5/4*q**5 - 45/4*q**2 + 3 = 0. What is q?
-6, -1, 2/5, 1
Let x(h) be the second derivative of 7*h**5/110 - h**4/22 - 19*h**2/2 + 5*h. Let u(g) be the first derivative of x(g). Factor u(a).
6*a*(7*a - 2)/11
Let o(i) = 19*i - 870. Let n be o(46). Suppose d**2 + 1/3*d - 1/3*d**3 - 2/3 - 1/3*d**n = 0. What is d?
-2, -1, 1
Let t(n) be the first derivative of 4*n**5/5 - 19*n**4 - 352*n**3/3 - 184*n**2 - 421. Let t(h) = 0. Calculate h.
-2, 0, 23
Let c(w) be the second derivative of 25*w**7/42 + w**6 - 61*w**5/20 - 11*w**4/6 + 6*w**3 - 4*w**2 + 2*w - 2. What is b in c(b) = 0?
-2, -1, 2/5, 1
Let m(q) be the second derivative of 81*q**5/25 - 21*q**4/5 - 32*q**3/3 + 128*q**2/5 - 8*q - 12. Factor m(i).
4*(i + 1)*(9*i - 8)**2/5
Let h(g) be the first derivative of -g**5/240 + g**4/96 + g**3/12 - 5*g**2 - 14. Let c(f) be the second derivative of h(f). Let c(z) = 0. Calculate z.
-1, 2
Let o(b) be the first derivative of b**4/2 + 26*b**3/3 - 29*b**2 + 30*b + 393. Find s, given that o(s) = 0.
-15, 1
Let i be -132*(-10)/160 + -8. Factor -i*w**3 - 3/4*w**2 - 1/2 + 1/4*w**4 + 5/4*w.
(w - 1)**3*(w + 2)/4
Let r(p) = -2*p - 42. Let w be r(-21). Let h = -2 - -5. Factor 0 - 4/5*v**4 + 2/5*v**5 + w*v**h - 2/5*v + 4/5*v**2.
2*v*(v - 1)**3*(v + 1)/5
Let h(g) be the first derivative of 13 - 2/9*g**3 + 0*g - 2/3*g**2. Suppose h(x) = 0. Calculate x.
-2, 0
Suppose -6 = -d + 3*r + r, -5*r + 51 = 2*d. Let o be (d - 21) + (-13)/(-4). Factor -1 + n - o*n**2.
-(n - 2)**2/4
Let t = 748 - 743. Let l(f) be the third derivative of -1/84*f**4 + 8*f**2 + 0 + 0*f**3 + 1/70*f**t - 1/140*f**6 + 1/735*f**7 + 0*f. Solve l(a) = 0 for a.
0, 1
Let l = -36 - -39. Factor -t**5 + t**l + 6*t**2 - 6*t**2.
-t**3*(t - 1)*(t + 1)
Let y(g) be the first derivative of 0*g**2 - 12 + 2/3*g**3 + 1/2*g**5 + 1/12*g**6 + 0*g + g**4. Factor y(f).
f**2*(f + 1)*(f + 2)**2/2
Suppose l - 5 = -o, 5*o + 7 - 22 = 0. Let f be (l + -3)/(5 + (-33)/6). Find v, given that 0 - 5/6*v**f + 2*v**3 - 1/3*v = 0.
-1/4, 0, 2/3
Let i = -12 + 8. Let q be (i - -2)/(4/(-4)). Factor -u**2 - 6*u**2 - 2*u**3 - 2*u**q + 6*u + 5*u**3.
3*u*(u - 2)*(u - 1)
Solve -402/11*n**2 + 72/11 - 168/11*n + 942/11*n**3 + 90/11*n**5 - 534/11*n**4 = 0 for n.
-2/5, 1/3, 1, 2, 3
Let u(v) be the first derivative of v**5 + 16 + 0*v - 5/2*v**2 + 5/4*v**4 - 5/3*v**3. Find y, given that u(y) = 0.
-1, 0, 1
Let v(p) be the third derivative of p**8/224 - 17*p**7/420 + p**6/8 - p**5/10 - p**4/6 + 604*p**2. Factor v(y).
y*(y - 2)**3*(3*y + 1)/2
Suppose -4*j = 4*t - 28, -5*t + j = -3*j - 35. Determine y, given that 32*y**2 + 52*y + t + 9 + 4*y**3 + 2 + 6 = 0.
-6, -1
Let o(l) = -17*l + 329. Let z be o(19). Let d(p) be the first derivative of -p**3 + 3/2*p**2 + z*p - 12. Determine n, given that d(n) = 0.
-1, 2
Let x(i) = i + 5. Let r be x(-5). Suppose -5*d - 4 + 24 = r. Solve 2 + 39*a**d - 4*a**5 - 31*a**4 - 4*a**3 - 2 = 0 for a.
0, 1
Let b be 2 - ((7 - -66*2/(-20)) + 1). What is o in 6/5 - 3/5*o**2 - b*o = 0?
-2, 1
What is f in 20*f - 7*f - 4 + 19*f - 2*f**4 + 4 + 24*f**2 = 0?
-2, 0, 4
Suppose -6*p - 3*p + 27 = 0. Factor s + s**2 + s**2 - 11*s**p + 12*s**3.
s*(s + 1)**2
Let i(s) = -s**3 - 21*s**2 + 5. Let p be i(-21). Suppose -5*d = -5*h - 7 + 2, p*h - 25 = -5*d. Factor -3/2 - 3/2*l**h - 3*l.
-3*(l + 1)**2/2
Let r be 2 - -2 - (-2 - 0 - -3). Let p(j) be the third derivative of 4*j**2 + 0 + 3/200*j**6 + 0*j**r - 3/100*j**5 - 1/350*j**7 + 0*j + 1/40*j**4. Factor p(k).
-3*k*(k - 1)**3/5
Solve 44*v**3 - 8*v**4 - 38*v**3 + v**5 + v**5 = 0.
0, 1, 3
Let f = 122 + -120. Factor 7*s + 5*s + 15*s**f + s**3 + 2*s**3.
3*s*(s + 1)*(s + 4)
Factor 3*q**3 + 56*q**2 + 10*q**2 + 81*q - 52*q - 180 + 82*q.
3*(q - 1)*(q + 3)*(q + 20)
Let o(x) be the first derivative of -x**5/5 + 3*x**4/4 + 4*x**3/3 - 6*x**2 + 162. Solve o(f) = 0.
-2, 0, 2, 3
Let j(u) = 2*u**3 + u**2 + u. Let r(p) = -45*p**4 + 97*p**3 - 84*p**2 + 16*p. Let b(d) = 4*j(d) + r(d). Factor b(v).
-5*v*(v - 1)*(3*v - 2)**2
Let n(r) = -r**3 - r**2 - 2*r + 26. Let y be n(0). Factor 2*q**2 - 18 - 10*q + y - 20.
2*(q - 6)*(q + 1)
Suppose 0 = -4*k + 3*j + 223, 25 = -5*j - 0*j. Let b = 52 - k. Determine r, given that 2/9*r**4 + 0*r**3 - 2/9*r**2 + 0 + b*r = 0.
-1, 0, 1
Suppose 1/3*g**2 + 84100/3 - 580/3*g = 0. Calculate g.
290
Let a be (-5 + (-6)/(-1))*(-9)/(-30)*2. Factor 9/5*r + 6/5 + a*r**2.
3*(r + 1)*(r + 2)/5
Suppose -p - 13 = -15. Suppose s + y + 3 = 0, -2*s + 2*y + 6 = s. Suppose 3*n**2 - 5*n**2 - 12*n**2 + 24*n + 8 + s*n**p = 0. Calculate n.
-2/7, 2
Factor 1/2*c**3 + 140*c**2 + 139 + 557/2*c.
(c + 1)**2*(c + 278)/2
Let j(y) = y**2 + 65*y - 424. Let s be j(6). Solve 0*b**s - 4/3*b**4 + 8/3*b - 8/3*b**3 + 4/3 = 0 for b.
-1, 1
Let w(j) be the first derivative of -j**7/3780 + j**6/540 - j**5/180 + j**4/108 + j**3/3 + 8. Let p(m) be the third derivative of w(m). Factor p(l).
-2*(l - 1)**3/9
Let s(z) be the second derivative of -z**4/6 + 104*z**3/3 - 2704*z**2 - 80*z. Factor s(k).
-2*(k - 52)**2
Let a be 427/448 + (-1 - 0). Let w = 49/320 - a. Factor -w*z**3 - 1/5*z**2 + 1/5*z + 1/5.
-(z - 1)*(z + 1)**2/5
Let v(y) = 2*y**3 - y**2 + 2*y - 2. Let b(k) = -34*k**3 + 26*k**2 - 50*k + 44. Let s(o) = -2*b(o) - 44*v(o). Factor s(h).
-4*h*(h + 1)*(5*h - 3)
Let d(r) = r**3 - r**2 + r - 1. Let k = 49 - 37. Let s(i) = 16*i**3 - 4*i**2 + 16*i - 12. Let p(q) = k*d(q) - s(q). Factor p(f).
-4*f*(f + 1)**2
Let r be (16 - 13) + 3/(-3). Suppose -8/7 - 52/7*o - 44/7*o**r = 0. Calculate o.
-1, -2/11
Let x(w) be the first derivative of -3*w**5/5 + 27*w**4/4 + 15*w**3 - 159*w**2/2 + 90*w + 307. Factor x(c).
-3*(c - 10)*(c - 1)**2*(c + 3)
Factor 2/9*j**2 - 8/9 - 8/9*j + 2/9*j**3.
2*(j - 2)*(j + 1)*(j + 2)/9
Let r(o) = -2*o - 51. Let f be r(-28). L