d derivative of -i**4/42 + 538*i**3/21 - 72361*i**2/7 + 288*i. Find w such that x(w) = 0.
269
Suppose 24 - 303*r**2 + 898*r**2 - 294*r**2 - 25*r - 300*r**2 = 0. What is r?
1, 24
What is k in 6*k**3 - 6 + 2*k**3 - 6 + 3*k**4 - 24*k - 9*k**2 - 2*k**3 + 0*k**3 = 0?
-2, -1, 2
Suppose 3025 = -3*g + 3043. Factor -2 + g*c + 7/2*c**2.
(c + 2)*(7*c - 2)/2
Let 12*a**2 + 12/5*a**5 - 9*a**3 - 3*a**4 - 12/5*a + 0 = 0. What is a?
-2, 0, 1/4, 1, 2
Let a be 18/30 - 63/5. Let n be (-75)/(-10)*a/(-42). Factor n*p**3 + 9/7*p**2 + 12/7 - 36/7*p.
3*(p - 1)*(p + 2)*(5*p - 2)/7
Let h(w) be the second derivative of w**6/45 + 19*w**5/90 + w**4/9 + 55*w. Find v, given that h(v) = 0.
-6, -1/3, 0
Determine c, given that -88 + 1978*c**3 - 61*c**2 - 172*c - 19*c**2 - 1974*c**3 = 0.
-1, 22
Let y(j) = -28*j**3 - 356*j**2 + 366*j - 92. Let b(o) = -5*o**3 + o**2. Let l(n) = -4*b(n) + y(n). Factor l(z).
-2*(z + 46)*(2*z - 1)**2
Let c(j) be the first derivative of -j**6/2 + 24*j**5/5 - 9*j**4/2 - 40*j**3 - 75*j**2/2 + 513. Suppose c(d) = 0. What is d?
-1, 0, 5
Let x(y) = -y**3 - 8*y**2 - 6*y + 9. Let q be x(-7). Solve -12*w**3 + 42*w**3 + 18 + 2 + 60*w + 65*w**q + 5*w**4 = 0 for w.
-2, -1
Let r = -261 - -2611/10. Let u(j) be the first derivative of 3/5*j**2 + 2 + 4/5*j - r*j**4 + 0*j**3. Factor u(z).
-2*(z - 2)*(z + 1)**2/5
Factor 3188*w + 3402*w**2 + 358 - 115 - 1568*w - 1029*w**4 + 1764*w**3.
-3*(w - 3)*(7*w + 3)**3
Factor -390/17*r**2 - 54/17*r**3 - 2/17*r**4 - 338/17*r + 0.
-2*r*(r + 1)*(r + 13)**2/17
Suppose 4*b - 2*b + 6 = 0. Let l(o) = 1. Let k(p) = -p**4 + p**2 - 1. Let f(x) = b*k(x) - 3*l(x). Suppose f(c) = 0. Calculate c.
-1, 0, 1
Suppose -1 - 1/4*b**2 - 5/4*b = 0. Calculate b.
-4, -1
Let h be -7 - ((-270)/24 + 2 + (-9)/(-36)). Solve 12/5 - 12/5*l + 3/5*l**h = 0.
2
Let d(s) be the first derivative of -1/3*s**3 - 1/2*s**2 + 0*s + 1/5*s**5 + 1/4*s**4 - 13. Factor d(u).
u*(u - 1)*(u + 1)**2
Let q(m) = -31*m**3 + 152*m**2 + 143*m + 5. Let y(c) = 74*c**3 - 380*c**2 - 358*c - 12. Let l(s) = -12*q(s) - 5*y(s). Factor l(w).
2*w*(w + 1)*(w + 37)
Factor 96*z**2 + 254*z + 5*z**4 + 45*z**3 + 34*z**2 - 134*z.
5*z*(z + 2)*(z + 3)*(z + 4)
Let a(x) be the third derivative of x**5/270 - 4*x**3/27 + x**2 - 5. Solve a(w) = 0 for w.
-2, 2
Find b, given that 5/3*b**4 - 50*b + 126*b**3 + 223/3*b**2 + 0 = 0.
-75, -1, 0, 2/5
Let t(d) be the third derivative of -1/72*d**6 + 0*d**3 - 1/630*d**7 + 0*d + 0*d**5 + 0*d**4 + 0 - 39*d**2. Determine w so that t(w) = 0.
-5, 0
Let m = 3 - 5. Let i = m - -4. Let -9*v + 2*v + 2*v**i + 5*v = 0. Calculate v.
0, 1
Let v(g) = 5 - g**3 - 5 + 0. Suppose 0 = 3*b + 5*r + 22, -3*b + r + 28 = -4*r. Let q(z) = 15*z**3 - 32*z**2 + 8*z. Let i(p) = b*v(p) + q(p). Factor i(l).
2*l*(l - 2)*(7*l - 2)
Let y(v) be the second derivative of v**5/80 + 3*v**4/32 - v**3/8 - 5*v**2/16 + v. Solve y(k) = 0 for k.
-5, -1/2, 1
Let g(r) = -r**3 + 5*r**2 - r + 1. Let d be g(5). Let w be (14 + -11)*d/9*-3. Factor 0*v**3 + 0*v + 0 + 0*v**2 - 1/4*v**w - 1/4*v**5.
-v**4*(v + 1)/4
Let x be 41 - (-10)/(-25)*5. Let i = x + -36. Let m(f) = 4*f**2 + 7*f. Let k(l) = 5*l**2 + 8*l. Let v(a) = i*k(a) - 4*m(a). What is y in v(y) = 0?
-4, 0
Let j(i) be the first derivative of 4/7*i + 1/14*i**4 + 6 + 0*i**3 - 3/7*i**2. Solve j(r) = 0 for r.
-2, 1
Let g be (18/(-4))/(-9) - (-11)/(-2). Let a be 2*((-9)/(-20) - g/(-25)). Find j, given that -a + j - 1/2*j**2 = 0.
1
Let t(c) = -17*c - 1. Let r = -5 + 4. Let i be t(r). What is k in -12*k**2 + i*k**3 - 1 - 2*k**3 + 6*k - 4*k**3 - 3*k**4 = 0?
1/3, 1
Let h(x) = x**3 + x**2 - 2*x. Suppose 3*m + 0 = 6. Let y be h(m). Let 27 - 3*n**3 - 26*n**2 - y - 7*n**3 - 8*n - 11 = 0. Calculate n.
-2, -1, 2/5
Suppose 79*o - 24 = 76*o. Suppose 0 = -4*u - o*u. Factor 2/7*n**2 + u + 2/7*n.
2*n*(n + 1)/7
Determine u so that -2*u**2 - 8*u**2 - 3*u**3 + 21*u**3 - 37*u + 52*u**2 + 6 + 3*u = 0.
-3, 1/3
Let x(t) = -5*t**4 - 12*t**3 - 9*t**2 - 5*t. Let r(q) = 4*q**4 + 10*q**3 + 8*q**2 + 4*q. Let i(w) = 3*r(w) + 2*x(w). Suppose i(v) = 0. Calculate v.
-1, 0
Let n(w) be the third derivative of w**8/84 - 8*w**7/105 - w**6/15 + 4*w**5/5 + 3*w**4/2 - 94*w**2. Factor n(v).
4*v*(v - 3)**2*(v + 1)**2
Let l(r) be the first derivative of -5*r**6/6 - 3*r**5 + 5*r**4/4 + 55*r**3/3 + 30*r**2 + 20*r + 50. Factor l(u).
-5*(u - 2)*(u + 1)**3*(u + 2)
Let i = 37 - 7. Let l = i - 17. Determine z, given that -z**4 - 60*z**2 - 10 - 54 + 0*z**4 + 48*z - 160*z - l*z**3 = 0.
-4, -1
Let d = -38116/7 - -5448. Factor -2/7*z**3 + 0 + 2*z**2 - d*z.
-2*z*(z - 5)*(z - 2)/7
Suppose 8 = 2*v + f, 4*v = 4*f + 15 + 1. Let d = 6 - v. Solve -2/5*w**d - 6/5*w - 4/5 = 0.
-2, -1
Let d(l) be the first derivative of 2*l**5 - 11*l**4/2 + 14*l**3/3 - l**2 - 14. Find s, given that d(s) = 0.
0, 1/5, 1
Suppose -2*l + l + 23 = 0. Determine k, given that -3 + 10*k - 20*k - 72*k**2 - l*k = 0.
-1/3, -1/8
Suppose -9*m = -7*m - 16. Suppose -2*u + 0*u = -m. Factor 6*j**5 + 0*j**5 + 7*j**4 + 5*j**2 - 16*j**u - 2*j**2.
3*j**2*(j - 1)**2*(2*j + 1)
Let r(t) be the first derivative of -7*t**6/9 + 8*t**5/15 + 14. Factor r(f).
-2*f**4*(7*f - 4)/3
Let u = 1 - -1. Let j be 2/8 - 23/(-92). Let -1/2 + z - j*z**u = 0. Calculate z.
1
Let h(s) be the second derivative of s**7/189 + 29*s**6/135 + 163*s**5/90 - 673*s**4/54 + 736*s**3/27 - 256*s**2/9 + 74*s. Determine b so that h(b) = 0.
-16, 1
Let j(k) be the third derivative of -k**7/630 - 7*k**6/180 + 4*k**5/15 - 25*k**4/36 + 17*k**3/18 - 3*k**2 - 63. Factor j(z).
-(z - 1)**3*(z + 17)/3
Let x be (-8 - -8)*(-1)/1. Suppose x = -c - 0*c + 5. Find q such that 22*q**2 + 0*q**4 + 27 - 72*q - 24*q**3 + c*q**4 - 2*q**4 + 44*q**2 = 0.
1, 3
Let x(f) be the second derivative of -f**6/20 - 117*f**5/40 + 31*f**4/2 - 21*f**3 + 557*f. Find p such that x(p) = 0.
-42, 0, 1, 2
Let i(d) = d**2 + 11*d - 240. Let f be i(-22). Factor 1/5*k**f + 0 - 3/5*k**3 + 0*k + 3/5*k**4 - 1/5*k**5.
-k**2*(k - 1)**3/5
Let z(k) be the second derivative of k**6/720 - k**5/60 + k**4/16 - 2*k**3 + 8*k. Let u(a) be the second derivative of z(a). Solve u(p) = 0.
1, 3
Let g(h) be the second derivative of h**4/12 - h**3/6 - h**2/2 - 13*h. Let j(z) = -8*z**2 + 3*z + 14. Let n(s) = -18*g(s) - 2*j(s). Let n(b) = 0. Calculate b.
1, 5
Let d(s) be the first derivative of 7*s**6/10 + 3*s**5/10 - 7*s**4/4 - s**3 + 10*s - 4. Let p(a) be the first derivative of d(a). Solve p(l) = 0.
-1, -2/7, 0, 1
Let q be 4/(-6)*((-1392)/3712)/((-1)/(-8)). Factor 1/5*r**3 + 3/5 - 1/5*r - 3/5*r**q.
(r - 3)*(r - 1)*(r + 1)/5
Suppose -4*w + 4*c - 16 = 0, -2*c = -3*w - 3*c + 4. Let q be 8/22 + 7/(-231). Solve q*g**3 + g**2 + w + 2/3*g = 0.
-2, -1, 0
Let s = 94 - 84. Find x such that 5*x**3 - 3*x + s*x**2 - 17*x + 5*x**2 = 0.
-4, 0, 1
Let n(s) = 34*s + 38. Let t be n(-1). Let i(v) be the first derivative of 64/3*v**3 - 162/5*v**5 + t*v**2 + 45/2*v**4 + 0*v - 7. Factor i(j).
-2*j*(j - 1)*(9*j + 2)**2
Suppose -3*g - 357 = -438. Suppose g*f + 129/4*f**3 - 45/4*f**4 - 6 + 3/2*f**5 - 87/2*f**2 = 0. Calculate f.
1/2, 1, 2
Determine c, given that -164*c**3 - 84*c**4 - 32*c**4 - 12*c**5 + 32*c + 307*c**2 - 335*c**2 = 0.
-8, -1, 0, 1/3
Let u(y) = -17*y**2 + 102*y + 4. Let r be u(6). Find s, given that 6/5*s**3 + 2/5*s**2 + 2/5*s**r - 6/5*s - 4/5 = 0.
-2, -1, 1
Solve -2/3*t**4 - 10/3*t**2 + 0 + 17/6*t**3 + 2/3*t = 0 for t.
0, 1/4, 2
Let a = -234 + 232. Let c be (a*2/22)/(-1). What is j in 0 + 0*j - 2/11*j**4 + 0*j**2 + c*j**3 = 0?
0, 1
Let b(k) be the third derivative of k**9/7560 - k**8/2100 + k**6/450 - k**5/300 + 7*k**3/6 + 11*k**2. Let q(j) be the first derivative of b(j). Solve q(i) = 0.
-1, 0, 1
Let h = -62 - -63. Factor -200*r**2 + 132*r**3 - 144*r + 18 + 15 - h.
4*(r - 2)*(3*r + 2)*(11*r - 2)
Suppose -311 = -4*n - 835. Let p = n - -919/7. What is d in -p*d + 2/7*d**3 + 0*d**2 + 0 = 0?
-1, 0, 1
Suppose -5*q - 12 = 4*g, -26 = -5*g - 5*q + 9*q. Factor 1/4 - 1/2*x**3 + 1/4*x + 1/4*x**5 + 1/4*x**4 - 1/2*x**g.
(x - 1)**2*(x + 1)**3/4
Let w be 7 + 3/(5 + 305/(-58)) - -7. Find o such that -3/5*o**4 + 11/5*o**2 + 1/5*o**3 + 4/5 - 1/5*o**5 + w*o = 0.
-2, -1, 2
Let g(t) = 2*t**5 + 5*t**4 + t**3 + 5*t**2 + 2*t. Let q = -2 - -1. Let a(m) = m**5 + m**4 - m**3 + m**2 + m. Let l(i) = q*g(i) + 5*a(i). Factor l(p).
3*p*(p - 1)**2*(p + 1)**2
Let g be (3/((-45)/(-12)))/(5/(100/152)). Let x be 4